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```typescript
// AI Dev Tool: Mathathon API Integration Wrapper
// =============================================
// A production-ready API integration wrapper for the Caltech Mathathon API.
// Provides a type-safe interface for interacting with the Mathathon API.

import axios, { AxiosError } from 'axios';
import { z } from 'zod';

// Define the Mathathon API schema
const mathathonSchema = z.object({
  id: z.string(),
  title: z.string(),
  description: z.string(),
  problems: z.array(
    z.object({
      id: z.string(),
      title: z.string(),
      description: z.string(),
    })
  ),
});

// Define the Mathathon API client
class MathathonClient {
  private readonly axiosInstance: axios.AxiosInstance;

constructor(private readonly apiUrl: string) {
    this.axiosInstance = axios.create({
      baseURL: apiUrl,
    });
  }

// Get a list of math problems
  async getProblems(): Promise<z.infer<typeof mathathonSchema>['problems']> {
    try {
      const response = await this.axiosInstance.get('/problems');
      return mathathonSchema.parse(response.data).problems;
    } catch (error) {
      if (error instanceof AxiosError

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