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MATH-ETE-DATA-SCORED

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train · 72.1k rows

problem stringlengths 16 2.02k	solution stringlengths 29 4.45k	answer stringlengths 1 69	subject stringclasses 7 values	level int64 1 5	unique_id stringlengths 20 40	idx int64 0 7k	ete_solution stringlengths 198 2.15k	gen_length int64 512 512	num_steps int64 14 212	pareto_index int64 0 33	sampling_params stringclasses 34 values	worst_case_steps int64 15 232	best_case_steps int64 13 202	explore_failures int64 0 0	explore_count int64 0 10	solution_reward float64 1 1	extracted_pred_answer stringlengths 10 264	extracted_gold_answer stringlengths 10 168	is_solution_correct bool 1 class	sequence_0 listlengths 512 512	sequence_1 listlengths 512 512	sequence_2 listlengths 512 512	sequence_3 listlengths 512 512	sequence_4 listlengths 512 512	sequence_5 listlengths 512 512	sequence_6 listlengths 512 512	sequence_7 listlengths 512 512	sequence_8 listlengths 512 512	sequence_9 listlengths 512 512	sequence_10 listlengths 512 512	sequence_11 listlengths 512 512	sequence_12 listlengths 512 512	sequence_13 listlengths 512 512	sequence_14 listlengths 512 512	sequence_15 listlengths 512 512 ⌀	sequence_16 listlengths 512 512 ⌀	sequence_17 listlengths 512 512 ⌀	sequence_18 listlengths 512 512 ⌀	sequence_19 listlengths 512 512 ⌀	sequence_20 listlengths 512 512 ⌀	sequence_21 listlengths 512 512 ⌀	sequence_22 listlengths 512 512 ⌀	sequence_23 listlengths 512 512 ⌀	sequence_24 listlengths 512 512 ⌀	sequence_25 listlengths 512 512 ⌀	sequence_26 listlengths 512 512 ⌀	sequence_27 listlengths 512 512 ⌀	sequence_28 listlengths 512 512 ⌀	sequence_29 listlengths 512 512 ⌀	sequence_30 listlengths 512 512 ⌀	sequence_31 listlengths 512 512 ⌀	sequence_32 listlengths 512 512 ⌀	sequence_33 listlengths 512 512 ⌀	sequence_34 listlengths 512 512 ⌀	sequence_35 listlengths 512 512 ⌀	sequence_36 listlengths 512 512 ⌀	sequence_37 listlengths 512 512 ⌀	sequence_38 listlengths 512 512 ⌀	sequence_39 listlengths 512 512 ⌀	sequence_40 listlengths 512 512 ⌀	sequence_41 listlengths 512 512 ⌀	sequence_42 listlengths 512 512 ⌀	sequence_43 listlengths 512 512 ⌀	sequence_44 listlengths 512 512 ⌀	sequence_45 listlengths 512 512 ⌀	sequence_46 listlengths 512 512 ⌀	sequence_47 listlengths 512 512 ⌀	sequence_48 listlengths 512 512 ⌀	sequence_49 listlengths 512 512 ⌀	sequence_50 listlengths 512 512 ⌀	sequence_51 listlengths 512 512 ⌀	sequence_52 listlengths 512 512 ⌀	sequence_53 listlengths 512 512 ⌀	sequence_54 listlengths 512 512 ⌀	sequence_55 listlengths 512 512 ⌀	score_0 listlengths 512 512	score_1 listlengths 512 512	score_2 listlengths 512 512	score_3 listlengths 512 512	score_4 listlengths 512 512	score_5 listlengths 512 512	score_6 listlengths 512 512	score_7 listlengths 512 512	score_8 listlengths 512 512	score_9 listlengths 512 512	score_10 listlengths 512 512	score_11 listlengths 512 512	score_12 listlengths 512 512	score_13 listlengths 512 512	score_14 listlengths 512 512	score_15 listlengths 512 512 ⌀	score_16 listlengths 512 512 ⌀	score_17 listlengths 512 512 ⌀	score_18 listlengths 512 512 ⌀	score_19 listlengths 512 512 ⌀	score_20 listlengths 512 512 ⌀	score_21 listlengths 512 512 ⌀	score_22 listlengths 512 512 ⌀	score_23 listlengths 512 512 ⌀	score_24 listlengths 512 512 ⌀	score_25 listlengths 512 512 ⌀	score_26 listlengths 512 512 ⌀	score_27 listlengths 512 512 ⌀	score_28 listlengths 512 512 ⌀	score_29 listlengths 512 512 ⌀	score_30 listlengths 512 512 ⌀	score_31 listlengths 512 512 ⌀	score_32 listlengths 512 512 ⌀	score_33 listlengths 512 512 ⌀	score_34 listlengths 512 512 ⌀	score_35 listlengths 512 512 ⌀	score_36 listlengths 512 512 ⌀	score_37 listlengths 512 512 ⌀	score_38 listlengths 512 512 ⌀	score_39 listlengths 512 512 ⌀	score_40 listlengths 512 512 ⌀	score_41 listlengths 512 512 ⌀	score_42 listlengths 512 512 ⌀	score_43 listlengths 512 512 ⌀	score_44 listlengths 512 512 ⌀	score_45 listlengths 512 512 ⌀	score_46 listlengths 512 512 ⌀	score_47 listlengths 512 512 ⌀	score_48 listlengths 512 512 ⌀	score_49 listlengths 512 512 ⌀	score_50 listlengths 512 512 ⌀	score_51 listlengths 512 512 ⌀	score_52 listlengths 512 512 ⌀	score_53 listlengths 512 512 ⌀	score_54 listlengths 512 512 ⌀	score_55 listlengths 512 512 ⌀
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For example, (...TRUNCATED)	0	Algebra	5	train/algebra/0.json	0	"To ensure that the piecewise function \\( f(x) \\) is continuous, we need to ensure that the left-h(...TRUNCATED)	512	55	13	"{\"accumulative_error_tolerance\": 0.2, \"alpha\": 0.86, \"block_length\": 64, \"compute_log_probs\(...TRUNCATED)	75	45	0	10	1	['0', '0']	['0', 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For example, (...TRUNCATED)	0	Algebra	5	train/algebra/0.json	0	"To ensure that the piecewise function \\( f(x) \\) is continuous, we need to make sure that the val(...TRUNCATED)	512	102	23	"{\"accumulative_error_tolerance\": 0.2, \"alpha\": 0.86, \"block_length\": 64, \"compute_log_probs\(...TRUNCATED)	121	91	0	10	1	['0', '0']	['0', 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For example, (...TRUNCATED)	0	Algebra	5	train/algebra/0.json	0	"To ensure that the piecewise function \\( f(x) \\) is continuous, we need to make sure that the val(...TRUNCATED)	512	102	24	"{\"accumulative_error_tolerance\": 0.2, \"alpha\": 0.86, \"block_length\": 64, \"compute_log_probs\(...TRUNCATED)	121	91	0	10	1	['0', '0']	['0', 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For example, (...TRUNCATED)	0	Algebra	5	train/algebra/0.json	0	"To ensure that the piecewise function \\( f(x) \\) is continuous, we need to make sure that the val(...TRUNCATED)	512	101	25	"{\"accumulative_error_tolerance\": 0.2, \"alpha\": 0.86, \"block_length\": 64, \"compute_log_probs\(...TRUNCATED)	121	91	0	10	1	['0', '0']	['0', 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For example, (...TRUNCATED)	0	Algebra	5	train/algebra/0.json	0	"To ensure that the piecewise function \\( f(x) \\) is continuous, we need to ensure that the left-h(...TRUNCATED)	512	108	31	"{\"accumulative_error_tolerance\": 0.2, \"alpha\": 0.86, \"block_length\": 64, \"compute_log_probs\(...TRUNCATED)	118	98	0	10	1	['0', '0']	['0', 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"Let \\[f(x) = \\left\\{\n\\begin{array}{cl} ax+3, &\\text{ if }x>2, \\\\\nx-5 &\\text{ if } -2 \\le(...TRUNCATED)	"For the piecewise function to be continuous, the cases must \"meet\" at $2$ and $-2$. For example, (...TRUNCATED)	0	Algebra	5	train/algebra/0.json	0	"To ensure that the piecewise function \\( f(x) \\) is continuous, we need to ensure that the left-h(...TRUNCATED)	512	108	32	"{\"accumulative_error_tolerance\": 0.2, \"alpha\": 0.86, \"block_length\": 64, \"compute_log_probs\(...TRUNCATED)	118	98	0	10	1	['0', '0']	['0', 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What is the area of the triangle bounded by the lines $y=x,$ $y=-x,$ and $y=6$?	"[asy]\nsize(200); defaultpen(linewidth(0.8));\nxlimits(-8,8); ylimits(-1,10);\nxaxis(Label(\"$x$\")(...TRUNCATED)	36	Geometry	3	train/geometry/218.json	1	"To find the area of the triangle bounded by the lines \\( y = x \\), \\( y = -x \\), and \\( y = 6 (...TRUNCATED)	512	77	31	"{\"accumulative_error_tolerance\": 0.2, \"alpha\": 0.86, \"block_length\": 64, \"compute_log_probs\(...TRUNCATED)	87	67	0	10	1	['36', '36']	['36', 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Twenty-seven increased by twice a number is 39. What is the number?	"We are asked to solve $27+2x=39$ for $x$. 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