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or of 981 and 27795. 327 What is the highest common factor of 177 and 19824? 177 What is the greatest common factor of 85 and 585769? 17 Calculate the highest common factor of 1600 and 1459840. 320 What is the greatest common divisor of 24 and 547? 1 Calculate the greatest common divisor of 75 and 229395. 15 Calculate the greatest common factor of 232 and 34829. 29 What is the greatest common factor of 27279 and 14679? 63 Calculate the highest common divisor of 460327 and 28. 7 What is the greatest common divisor of 90 and 131070? 30 What is the highest common factor of 528651 and 27? 9 Calculate the greatest common factor of 1201695 and 165. 165 Calculate the greatest common divisor of 826 and 51632. 14 What is the greatest common factor of 19411 and 68971? 413 What is the greatest common factor of 14 and 301637? 7 What is the greatest common factor of 6539 and 546? 13 Calculate the greatest common factor of 31 and 171089. 31 Calculate the highest common divisor of 529802 and 1638. 182 What is the highest common factor of 4530 and 8640? 30 What is the greatest common factor of 1958 and 34087? 89 What is the highest common divisor of 93 and 3751093? 31 Calculate the highest common factor of 2790 and 77810. 310 What is the highest common divisor of 2331 and 5328? 333 Calculate the greatest common factor of 54 and 52182. 18 Calculate the greatest common divisor of 3059259 and 42. 21 Calculate the highest common divisor of 21 and 1160404. 7 What is the greatest common factor of 47508 and 17316? 444 What is the highest common factor of 18 and 23850? 18 Calculate the greatest common divisor of 1222 and 1924. 26 Calculate the greatest common divisor of 6660 and 990. 90 What is the highest common divisor of 1930833 and 1098? 549 Calculate the greatest common divisor of 7134 and 4292. 58 Calculate the highest common divisor of 129 and 658459. 43 What is the highest common factor of 831 and 355945? 277 Calculate the highest common divisor of 52 and 3260. 4 Calculate the highest common divisor of 12 and 51027. 3 Calculate the highest common divisor of 56628 and 108. 36 What is the greatest common divisor of 260 and 28015? 65 Calculate the highest common factor of 296072 and 1309. 119 What is the greatest common divisor of 552 and 69690? 138 What is the highest common factor of 32079 and 8177? 629 What is the highest common divisor of 7 and 2473? 1 Calculate the greatest common factor of 63 and 414351. 63 Calculate the greatest common divisor of 1074 and 102. 6 What is the greatest common factor of 3125354 and 226? 226 What is the greatest common divisor of 101 and 531866? 101 Calculate the greatest common divisor of 851 and 184. 23 Calculate the greatest common divisor of 2499 and 374017. 833 What is the greatest common factor of 320560 and 30? 10 Calculate the highest common factor of 402336 and 5148. 396 What is the highest common divisor of 179220 and 464? 116 What is the highest common divisor of 2980 and 2060? 20 What is the greatest common factor of 111563 and 116? 29 What is the greatest common factor of 4416 and 750? 6 What is the highest common divisor of 3618 and 1566? 54 Calculate the greatest common divisor of 16 and 548176. 16 Calculate the greatest common factor of 672 and 6237. 21 Calculate the highest common factor of 5004 and 30. 6 What is the highest common divisor of 5396 and 20? 4 What is the greatest common divisor of 52 and 592189? 13 What is the greatest common factor of 735930 and 10? 10 What is the greatest common factor of 246636 and 15028? 884 Calculate the highest common divisor of 708 and 12390. 354 What is the greatest common divisor of 53273 and 464? 29 Calculate the greatest common divisor of 151 and 1550468. 151 Calculate the greatest common factor of 66894 and 4. 2 What is the greatest common divisor of 112 and 240? 16 What is the highest common factor of 1111 and 2332? 11 What is the greatest common factor of 32 and 22432? 32 Calculate the highest common factor of 3896 and 3. 1 Calculate the greatest common divisor of 736281 and 182. 91 Calculate the greatest common factor of 84 and 17661. 21 Calculate the greatest common factor of 519 and 711549. 519 What is the greatest common factor of 819 and 6201? 117 What is the highest common divisor of 815188 and 291? 97 Calculate the greatest common factor of 25020 and 40. 20 What is the greatest common factor of 40832 and 11803? 319 What is the highest common divisor of 7752 and 1653? 57 What is the highest common factor of 618 and 73954? 206 What is the greatest common factor of 103356 and 594? 594 What is the greatest common divisor of 238 and 10591? 119 What is the highest common divisor of 3022 and 119369? 1511 Calculate the highest common divisor of 108 and 7290. 54 Calculate the greatest common factor of 8 and 624012. 4 Calculate the greatest common factor of 8 and 8186536. 8 What is the greatest common divisor of 122 and 42761? 61 What is the highest common divisor of 7980 and 9861? 57 Calculate the greatest common divisor of 250236 and 1134. 378 Calculate the greatest common factor of 74 and 1818. 2 What is the greatest common divisor of 5 and 1745? 5 Calculate the greatest common divisor of 208 and 6812. 52 What is the greatest common factor of 4472 and 2795? 559 Calculate the greatest common factor of 69039 and 63. 9 What is the highest common divisor of 40150 and 880? 110 What is the highest common factor of 3740 and 536? 4 Calculate the greatest common divisor of 12535 and 20. 5 What is the highest common factor of 432 and 10476? 108 What is the highest common divisor of 17 and 3137809? 17 What is the highest common factor of 90 and 373335? 15 What is the greatest common divisor of 37784 and 8? 8 What is the highest common factor of 2 and 21601? 1 What is the greatest common divisor of 195 and 47697? 39 What is the greatest common factor of 1422 and 6681? 3 What is the highest common factor of 20150 and 93310? 310 What is the greatest common factor of 488 and 1095316? 244 Calculate the greatest common divisor of 5805 and 258. 129 Calculate the highest common divisor of 196 and 11636. 4 What is the highest common divisor of 27246 and 342? 114 What is the highest common factor of 4379820 and 60? 60 What is the highest common divisor of 17071807 and 29? 29 Calculate the greatest common factor of 236 and 2329379. 59 Calculate the greatest common divisor of 486796 and 5240. 524 What is the greatest common factor of 597930 and 57? 57 What is the greatest common factor of 3946264 and 28? 28 What is the highest common factor of 42 and 9322? 2 Calculate the highest common factor of 888 and 20868. 444 Calculate the highest common divisor of 73138 and 520. 26 Calculate the highest common divisor of 73 and 465667. 73 What is the greatest common divisor of 5696964 and 4888? 2444 Calculate the greatest common divisor of 19 and 312417. 19 What is the highest common divisor of 12305095 and 473? 473 What is the highest common divisor of 197964 and 91? 13 Calculate the greatest common divisor of 5087912 and 16. 8 What is the greatest common divisor of 228 and 502284? 228 What is the highest common divisor of 94 and 50619? 47 What is the greatest common divisor of 619157 and 357? 119 What is the highest common factor of 14 and 161182? 14 What is the highest common divisor of 3608 and 16528? 8 What is the highest common factor of 5 and 907415? 5 What is the highest common divisor of 47530 and 34435? 485 What is the highest common divisor of 8134 and 245? 49 Calculate the greatest common divisor of 902 and 231855. 41 Calculate the highest common factor of 2122300 and 100. 100 Calculate the highest common divisor of 416 and 573664. 416 Calculate the highest common factor of 264075 and 225. 75 Calculate the highest common factor of 116949 and 21. 21 Calculate the highest common divisor of 163680 and 3534. 186 What is the greatest common factor of 4 and 37382? 2 What is the greatest common factor of 473 and 54923? 11 Calculate the highest common factor of 178 and 2731321. 89 What is the greatest common factor of 133596 and 432? 108 What is the greatest common factor of 1054 and 25262? 34 What is the greatest common factor of 2739 and 1892400? 249 What is the highest common factor of
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 4 What is the square root of 754284 to the nearest integer? 868 What is the square root of 158425 to the nearest integer? 398 What is the square root of 189593 to the nearest integer? 435 What is the third root of 31996771 to the nearest integer? 317 What is the square root of 37611557 to the nearest integer? 6133 What is 4761939 to the power of 1/5, to the nearest integer? 22 What is the cube root of 30578845 to the nearest integer? 313 What is the square root of 2756360 to the nearest integer? 1660 What is the square root of 4785828 to the nearest integer? 2188 What is 310534 to the power of 1/2, to the nearest integer? 557 What is the third root of 6618241 to the nearest integer? 188 What is 1315258 to the power of 1/3, to the nearest integer? 110 What is the third root of 1448921 to the nearest integer? 113 What is 695328 to the power of 1/9, to the nearest integer? 4 What is the square root of 1432818 to the nearest integer? 1197 What is the cube root of 501724 to the nearest integer? 79 What is the ninth root of 1584998 to the nearest integer? 5 What is 2667414 to the power of 1/3, to the nearest integer? 139 What is the third root of 285565 to the nearest integer? 66 What is the third root of 260530 to the nearest integer? 64 What is the ninth root of 11306070 to the nearest integer? 6 What is 3774674 to the power of 1/3, to the nearest integer? 156 What is the eighth root of 1957931 to the nearest integer? 6 What is 236358 to the power of 1/5, to the nearest integer? 12 What is 226412 to the power of 1/3, to the nearest integer? 61 What is the seventh root of 227220 to the nearest integer? 6 What is 4253683 to the power of 1/2, to the nearest integer? 2062 What is 4780522 to the power of 1/2, to the nearest integer? 2186 What is the square root of 2992662 to the nearest integer? 1730 What is the tenth root of 1807576 to the nearest integer? 4 What is 44979977 to the power of 1/5, to the nearest integer? 34 What is 1763487 to the power of 1/3, to the nearest integer? 121 What is the square root of 675694 to the nearest integer? 822 What is 9731515 to the power of 1/3, to the nearest integer? 213 What is 565035 to the power of 1/2, to the nearest integer? 752 What is 1005666 to the power of 1/3, to the nearest integer? 100 What is the fourth root of 602986 to the nearest integer? 28 What is the square root of 12958127 to the nearest integer? 3600 What is 4014280 to the power of 1/4, to the nearest integer? 45 What is the square root of 9037823 to the nearest integer? 3006 What is 15102543 to the power of 1/6, to the nearest integer? 16 What is the square root of 2523167 to the nearest integer? 1588 What is 2165247 to the power of 1/2, to the nearest integer? 1471 What is the tenth root of 3970703 to the nearest integer? 5 What is 133405 to the power of 1/3, to the nearest integer? 51 What is 1127928 to the power of 1/4, to the nearest integer? 33 What is 479978 to the power of 1/3, to the nearest integer? 78 What is the square root of 498082 to the nearest integer? 706 What is 148623 to the power of 1/5, to the nearest integer? 11 What is the sixth root of 1483197 to the nearest integer? 11 What is the third root of 3325760 to the nearest integer? 149 What is the cube root of 4141674 to the nearest integer? 161 What is the eighth root of 879613 to the nearest integer? 6 What is 2168374 to the power of 1/3, to the nearest integer? 129 What is 214682 to the power of 1/10, to the nearest integer? 3 What is the cube root of 322714 to the nearest integer? 69 What is the third root of 5946257 to the nearest integer? 181 What is 754528 to the power of 1/2, to the nearest integer? 869 What is the fifth root of 8735811 to the nearest integer? 24 What is the ninth root of 347932 to the nearest integer? 4 What is 106835 to the power of 1/4, to the nearest integer? 18 What is the fifth root of 125044 to the nearest integer? 10 What is the third root of 25981341 to the nearest integer? 296 What is 454174 to the power of 1/2, to the nearest integer? 674 What is the square root of 1093753 to the nearest integer? 1046 What is 414955 to the power of 1/4, to the nearest integer? 25 What is the square root of 2672426 to the nearest integer? 1635 What is the square root of 2244305 to the nearest integer? 1498 What is the cube root of 19472460 to the nearest integer? 269 What is the third root of 487110 to the nearest integer? 79 What is the third root of 165049 to the nearest integer? 55 What is the cube root of 2118795 to the nearest integer? 128 What is 1074090 to the power of 1/2, to the nearest integer? 1036 What is the sixth root of 297702 to the nearest integer? 8 What is the fourth root of 4249841 to the nearest integer? 45 What is 1052644 to the power of 1/2, to the nearest integer? 1026 What is 27516716 to the power of 1/2, to the nearest integer? 5246 What is the third root of 8814245 to the nearest integer? 207 What is 79403 to the power of 1/8, to the nearest integer? 4 What is the fourth root of 33444171 to the nearest integer? 76 What is the cube root of 11860 to the nearest integer? 23 What is 2430300 to the power of 1/2, to the nearest integer? 1559 What is the third root of 341819 to the nearest integer? 70 What is the fourth root of 39581809 to the nearest integer? 79 What is the square root of 128579 to the nearest integer? 359 What is the square root of 64387 to the nearest integer? 254 What is the seventh root of 5521943 to the nearest integer? 9 What is 4780779 to the power of 1/3, to the nearest integer? 168 What is the square root of 1154658 to the nearest integer? 1075 What is the square root of 580489 to the nearest integer? 762 What is 205796 to the power of 1/10, to the nearest integer? 3 What is the tenth root of 26197049 to the nearest integer? 6 What is the tenth root of 1847059 to the nearest integer? 4 What is 304263 to the power of 1/3, to the nearest integer? 67 What is the square root of 249959 to the nearest integer? 500 What is the sixth root of 567236 to the nearest integer? 9 What is 3740108 to the power of 1/4, to the nearest integer? 44 What is the cube root of 4703485 to the nearest integer? 168 What is 582563 to the power of 1/2, to the nearest integer? 763 What is the square root of 815564 to the nearest integer? 903 What is the third root of 586623 to the nearest integer? 84 What is the third root of 6087220 to the nearest integer? 183 What is the cube root of 842628 to the nearest integer? 94 What is 233975 to the power of 1/5, to the nearest integer? 12 What is 27115886 to the power of 1/4, to the nearest integer? 72 What is 11330373 to the power of 1/10, to the nearest integer? 5 What is 5525534 to the power of 1/6, to the nearest integer? 13 What is the tenth root of 28826583 to the nearest integer? 6 What is the tenth root of 1512109 to the nearest integer? 4 What is the ninth root of 3898349 to the nearest integer? 5 What is the fifth root of 21494 to the nearest integer? 7 What is the seventh root of 12314676 to the nearest integer? 10 What is 27016 to the power of 1/7, to the nearest integer? 4 What is 340276 to the power of 1/2, to the nearest integer? 583 What is 223551 to the power of 1/2, to the nearest integer? 473 What is the third root of 787386 to the nearest integer? 92 What is the cube root of 6276171 to the nearest integer? 184 What is the third root of 3520528 to the nearest integer? 152 What is 114552 to the power of 1/2, to the nearest integer? 338 What is the third root of 19841078 to the nearest integer? 271 What is the square root of 1338803 to the nearest integer? 1157 What is 7469350 to the power of 1/2, to the nearest integer? 2733 What is 2283262 to the power of 1/2, to the nearest integer? 1511 What is 197665 to the power of 1/9, to the nearest integer? 4 What is the cube root of 417543 to the nearest integer? 75 What is the seventh root of 15868505 to the nearest integer? 11 What is 14742328 to the power of 1/8, to the nearest integer? 8 What is the cube root of 33518 to the nearest integer? 32 What is 6112770 to the power of 1/2, to the nearest integer? 2472 What is 500963 to the power of 1/2, to the nearest integer? 708 What is the third root of 4711
{ "pile_set_name": "DM Mathematics" }
*c + 3*c + (-4 + 4 - 1)*(5*c + 0*c - 3*c) - 2*c - 11*c - 16*c + c + c + 0*c)*(2*c**2 - 2*c**2 + c**2). -30*c**3 Expand ((2 + 0 + 0)*(-6*m + 3*m + m) + m - 2*m + 0*m - 4*m + m + 2*m + (1 + 3 - 7)*(0*m - m + 4*m))*(8 + 15 - 11). -180*m Expand (-3*k**2 + k**2 + 0*k**2)*(5*k - 11*k - 9*k) + (-1 + 1 + 2*k**2)*(-1 + k + 1 - 1). 32*k**3 - 2*k**2 Expand (7 - 10 + 5 + 33*q)*(2 - 1 + 0)*(4*q**2 - 5*q + 5*q). 132*q**3 + 8*q**2 Expand (-23 + 20 + 3 - 101*a**3)*(-3*a**2 - 34 + 34). 303*a**5 Expand 3*v**2 + 2*v - 2*v + (0 - 4 + 3)*(-8*v**2 - 2*v**2 - v**2). 14*v**2 Expand -w**5 + 24*w**5 - 3*w**5 + (0*w - w - 3*w)*(w**4 + 2*w + 0*w - 3*w**4). 28*w**5 - 8*w**2 Expand 11*n + n - 2 + 5*n - 3 + 2*n + 3 + 0*n + 2*n - 3*n - 5 + 5 + 2*n + (1 + 5 - 5)*(-1 + 1 + 2*n) - 2*n + 2*n - n. 21*n - 2 Expand (0*x - 6*x**3 + 0*x)*(2*x**2 - 4 - 13 + 0) + 4*x**5 - 6*x**5 - 8*x**5. -22*x**5 + 102*x**3 Expand (-135 + 135 + 13*z**4)*(-2 + 5 - 1 + z). 13*z**5 + 26*z**4 Expand (-7*z + 3*z + 2*z)*(1 - 1 + 2*z) + 0*z + 0*z - 3*z**2 - 5*z**2 + 2*z**2 - 3*z**2 + (-z - z + z)*(-4*z + 4*z + z). -14*z**2 Expand (-12*s**2 - 43*s + 43*s)*(0*s - 10*s - 10*s). 240*s**3 Expand 6 - 4*n**3 - 15 + 7 + n**3 + n**2 - n**2 + (-4 + 2 + 0)*(n**3 + 0*n**3 + n**3) - 28 + 61 - 34 + 2*n**3. -5*n**3 - 3 Expand (-1 + 62 - 6)*(2*l**3 + 0*l + 0*l). 110*l**3 Expand (147 - 16*p - 147)*(-2 + 2 - 4)*(2*p**2 - 3*p**2 + 0*p**2). -64*p**3 Expand (-12 - 8 - 6 + 0)*(-2*g - 24*g - 11*g). 962*g Expand (2*w - 2*w - w)*(2 + w - 2)*(-7 - 17 + 1). 23*w**2 Expand (-m**3 + 4*m**3 - 2*m**3)*(-4 + 4 + 2*m) + (-4 + 2 - 1)*(3*m - 6*m + m)*(5*m - 4*m**3 - 5*m). -22*m**4 Expand -2*z**3 - 2 + 2 + (2*z - z + 4*z)*(0 - 3 - 4)*(-2 + 2*z**2 + 2) - 18 + 18 - 15*z**3. -87*z**3 Expand 0 - 2 + 3 - 2*k**4 + 0 - k**4 + 0 + (-1 - k**2 + 1)*(k**2 + 3*k**2 - 3*k**2) + 5*k**4 - 15*k**4 + 7*k**4. -7*k**4 + 1 Expand (4*b + 0*b - 5*b)*(-3 + 2 + 3) + 2 - 2 - 2*b + 4 + 2*b - 4 + 4*b + 2 - 2 + 3*b + b - 5*b - 3 + 3 - 2*b + (3 + 2 - 3)*(-b - 2*b + b). -5*b Expand -w**4 + 2 - 2 - 9*w**4 + 157*w**4 - 47*w**4 + (4*w + 0 + 0)*(4 - 4 + 2*w**3). 108*w**4 Expand 2*c**2 + 2*c**2 + c**2 + (2*c - c + 2*c + 6*c - 2*c - 2*c + (6*c - 3*c - 2*c)*(3 - 3 + 2))*(2*c + 0 + 0). 19*c**2 Expand (-1 + 3*f - f + 3)*(86*f + 3 - 174*f + 89*f). 2*f**2 + 8*f + 6 Expand (-2*l + 0*l + 0*l)*(3*l**3 + 299*l**2 - 156*l**2 - 160*l**2). -6*l**4 + 34*l**3 Expand ((y**3 + 2*y**3 - 2*y**3)*(3 - 2 - 2) + y**3 - 5*y**3 + y**3)*(18*y**2 - 9 + 11*y**2 - 31*y**2). 8*y**5 + 36*y**3 Expand (2 + 4 - 3)*(0*m + 3*m - 6*m) + (115 + 24 + 19)*(-m + 1 - 1). -167*m Expand 1 - 25*a**4 + 30*a**4 + 1 + (-5*a**3 + 5*a**3 + 3*a**3)*(2 + 2*a - 2). 11*a**4 + 2 Expand (1 - 1 + 1)*(-3*p - 2*p + p)*(3 - 3 + 2*p)*(4*p - 3*p - 2*p) + (-20*p**2 - 18 + 18)*(3 - 3 - p). 28*p**3 Expand (2 - 2 - 2*z**2)*(1662*z**3 + 289*z - 3318*z**3 + 1658*z**3). -4*z**5 - 578*z**3 Expand (-3*h**2 - 3*h**2 + 11*h**2)*((-1 + 1 + 2)*(-h + 0*h - h) + 4*h - 2*h - 3*h)*(3*h - 4 + 4). -75*h**4 Expand (6*w - 2*w - 17*w)*(3 - 5 + 1)*(2*w - w - 3*w)*(-w**2 - 9*w**2 - 2*w**2)*(-3*w + w + 0*w). -624*w**5 Expand (-2*a**4 - a**4 + 0*a**4)*(234*a + 195*a - 78*a) + (-3*a**3 - 2*a**4 + 3*a**3)*(-2*a + 0 + 0). -1049*a**5 Expand -126 + 33*d + 60 + 62 + (-d + 2 - 2)*(0 + 0 - 11). 44*d - 4 Expand (6 - 8*z - 6)*(-2*z**2 - 2*z + 2*z)*(163 - 76*z - 163). -1216*z**4 Expand (-1 - k**2 - k**2 - 6*k + 3*k)*(937 + 41*k**3 - 937). -82*k**5 - 123*k**4 - 41*k**3 Expand (9 - 9 + 5*a**2)*(-39*a + 39*a - 13*a**2). -65*a**4 Expand -27*q**4 + 27*q**4 - 5*q**5 + (-8 + 2*q + 11 - 5)*(2 - q**4 - 2) - 3*q**5 + 4*q**5 - 2*q**5. -8*q**5 + 2*q**4 Expand (7 - 4 + 6)*(4*f**5 + f**4 - 59*f + 59*f + (-3*f**3 + f**3 + 3*f**3)*(0*f - f**2 + 0*f)) + f**2 - f**2 - f**5. 26*f**5 + 9*f**4 Expand (-698 - 22 - 556)*(3 - 2 + 0)*(-4*d + d + d). 2552*d Expand (2*d - 3*d**5 - 2*d)*((3 - 1 - 3)*(-3 - 15 + 3) - 7 + 37 - 7). -114*d**5 Expand (0*u - 5*u + 3*u + (u + 3*u - 3*u)*(3 + 1 - 3))*(-3 - 13 - 4). 20*u Expand (-7*q**2 - 109*q**2 + 19*q**2)*(-3 + 3 - 1). 97*q**2 Expand -v**2 - 4*v**2 + 6*v**2 + (-59*v - 34*v + 63*v)*(-1 + 1 + v). -29*v**2 Expand (4*j + 1 - 1)*((-4 - 5 + 4)*(0 + 19 - 6) - 4 - 2 + 3). -272*j Expand (51*c**2 + 14*c**2 + c - 63*c**2 + 49)*(1 + 0 - 5). -8*c**2 - 4*c - 196 Expand (3*c - 2*c - 8*c)*(-6*c + 9*c - 2*c + 68). -7*c**2 - 476*c Expand 225*x**3 - 4*x**4 - 3*x**4 - 227*x**3 + (17*x - 17*x - 4*x**2)*(x - x - 2*x**2). x**4 - 2*x**3 Expand 44*p + 17*p + 8 - 6 + (5 - 4 + 1)*(-2 + 2 + 2*p). 65*p + 2 Expand (7149 - 360*u - 3572 - 3577)*(4 - 2*u - 4). 720*u**2 Expand 0*r + 0*r + r + 2*r - 7*r + 2*r - 3 + 2*r + 3 + (0*r + 0*r + r)*(-5 + 4 + 3) + (-2*r - 8*r - r)*(4 - 1 + 2). -53*r Expand (-7*j**3 - 17*j**3 + j**3)*(-2 + 2 - j) + 0*j**4 - 2*j**4 + j**4. 22*j**4 Expand -11*u - 31 + 31 + (2 + 1 - 1)*(3*u - 3 - 1 + 2). -5*u - 4 Expand ((4*m + 2*m - 2*m)*(-5 + 1 + 2) + m - m + m + 1 - 3*m - 1)*(-3*m + 2 - 2). 30*m**2 Expand -3*q**5 + 2*q**5 + 0*q**5 + (0*q + 2*q - 3*q)*(-124*q**4 - 113*q**4 - 51*q**4). 287*q**5 Expand (-1 + 1 + 2*h)*(334*h + 69*h - 75*h). 656*h**2 Expand (0*j**4 - 3*j**4 + 2*j**4)*(-5 + 2 + 0)*(10 - 11*j + 16*j - 3*j). 6*j**5 + 30*j**4 Expand 0*g + 0*g - 2*g**2 + (150*g**2 - 283*g**2 + 149*g**2)*(-3 + 1 + 1). -18*g**2 Expand (c + 0*c - 3*c**3 + c**3)*(-118*c**2 - 8 + 8 + (3 - 3 + c)*(-3*c + 5*c + 0*c))*(1 - 1 + 2). 464*c**5 - 232*c**3 Expand (0*x**4 + 5*x**4 - 4*x**4)*(3*x + 5*x - 7*x) + 0*x**5 + 0*x**5 + x**5 + (9 + 6*x - 9)*(-1 - 3 + 2)*(6*x**4 + 2 - 2). -70*x**5 Expand 18*z**2 + 12*z**2 - 21*z**2 + z + (-1 + z + 1)*(0*z + 0*z + z) - 3*z**2 + 3*z**2 - 2*z**2. 8*z**2 + z Expand (-2 - 2*g + 2)*(3 - 1 + 0)*(3 + 0 - 7) + 10 - 6*g - 10. 10*g Expand (0*v**2 + 0*v**2 + 2*v**2)*(-132*v - 1151*v - 1531*v + 8*v). -5612*v**3 Expand (-11 - 15 - 160)*(y**2 + 4*y**2 - y**2). -744*y**2 Expand (g - 3 - 4 + 3)*(2*g**2 - g**2 + 0*g**2). g**3 - 4*g**2 Expand -9 - 2*s**2 + 4*s**5 - 10 + 18 - s**5 + 5*s**5 - s**5 + (2*s + 3 - 3)*(2*s**4 - 2*s**4 + s**4) - s**5 - 5*s**5 + 4*s**5 - 4*s**5 + 3*s**5 + 0*s**5. 6*s**5 - 2*s**2 - 1 Expand -3 - f + 3 + (2 - 6 + 5)*(2 - f - 2) + (19 - 31 + 19)*(5*f - 3*f + 2*f). 26*f Expand (8*z + 4*z + 3*z)*(-2*z**3 - 2*z**3 - 4*z**3) + (2*z**2 + 0*z**2 - z**2)*(-3*z**2 - 2*z**2 + 3*z**2). -122*z**4 Expand -2*l**5 - l + l + ((-15 + 7*l + 15)*(0*l + 0*l - 2*l) + (-l - 3*l + 3*l)*(-l + l + 6*l))*(0*l**3 - l**3 + 3*l**3). -42*l**5 Expand 8 - 8 - 29*p**4 + (2*p**4 - 2*p**4 + 2*p**4)*(-6 - 1 + 3). -37*p**4 Expand -6 + 6 + r**2 + (0 - 5 + 4)*(-2*r**2 - r + r)*(-20 + 42 - 19). 7*r**2 Expand (3*a**5 + a**5 + 13*a**5)*(10 + 2 + 1). 221*a**5 Expand 241*w + 2 + 17*w**4 + 6*w**2 + 246*w - 485*w + (-5*w**2 + 0*w**2 + 3*w**2)*(0*w**2 - 3*w**2 + 2*w**2) + 2*w**4 + 3*w**2 - 3*w**2. 21*w**4 + 6*w**2 + 2*w + 2 Expand (-12 + 215 + 165 - 93)*(0*q + 0*q - q**3). -275*q**3 Expand -3*v + 3*v + 3*v**2 + (-11 + 35 + 24)*(-2*v**2 - 2*v**2 + 3*v**2). -45*v**2 Expand (-3*d - 1 + 1)*(2*d - d**2 - 2*d) - 3 - 2*d**3 + 3 + d**3 + 3*d**3 + 0*d**3 + 0*d**3 - 2*d**3 + 7*d**3 + 7*d**3 - 6*d**3 + 6*d**3. 17*d**3 Expand (3 - 2 - 2)*(2 + 3 - 2)*(2*s - s - 3*s). 6*s Expand (20*f - 29*f - 1 + 11*f)*(-1 + 4 - 2). 2*f - 1 Expand -m**3 + 0*m**3 + 2*m**3 + (0*m + 4*m - 2*m)*(-5*m**2 + 3*m**2 + 3*m**2) + (220*m - 39*m + 116*m)*(m**2 + m**2 + 0*m**2). 597*m**3 Expand (-5 + 6 - 2)*(11 - 5 - 9)*(-7*r**4 - 8*r**4 + 5*r**4)*(-5*r + r + 2*r). 60*r**5 Expand (-18 + 18 + 6*b**2 + (-4 + 4 - 2)*(-3*b**2 + 0*b**2 + 4*b**2))*(-7*b + 0*b - 4*b). -44*b**3 Expand (-l - 4 + 4)*(7*l**2 + 10*l**2 + 0*l**2) - l + l**3 + l + (4*l**2 + 2*l**2 - 5*l**2)*(l - 1 + 1). -15*l**3 Expand -4 + 5 - 2*i + 2 + (-6 + 0 + 2)*(4*i + 2*i - 4*i) + 2*i - 19 + 19. -8*i + 3 Expand (-6 + 6 - 17*a)*(-5*a + a + 2*a) - 8*a**2 - 4*a + 26*a**2 - 14*a**2. 38*a**2 - 4*a Expand -1 + 1 - a**5 + (4*a**2 - 6*a**2 - 4*a**2)*(-a**3 - 2*a**3 - a**3). 23*a**5 Expand (4*w**2 + 0*w**2 - 3*w**2)*(-4*w**2 + 10*w**2 + 7*w**2) + 105*w**4 - 43*w**4 - 37*w**4. 38*w**4 Expand (-14*a**3 - 2*a**3 - 31*a**3)*(3*a**2 + 2*a - 2*a). -141*a**5 Expand (-4*j**2 + 4*j**2 - 2*j**3)*(2*j - 13 + 40 + 40). -4*j**4 - 134*j**3 Expand (-1 + 3*i + 5*i - 6*i + 0*i + 4*i - 6*i + 0*i + 0*i - 2*i + i - 4*i + i + (0 - 5 + 3)*(-3*i + 2*i - i) + 4*i - 4*i - i)*(-25*i + 6*i - 19*i). 38*i**2 +
{ "pile_set_name": "DM Mathematics" }
e the remainder when 451 is divided by (186/(-9))/((-186)/837). 79 Let b = 8 + -10. Let s be (-408)/(-6) + -2 + b. Calculate the remainder when (-91)/(-4) + 16/s is divided by 12. 11 Let o = 416 - 406. Suppose -5 = 4*x - 33. Calculate the remainder when -6*(-8)/(32/o) is divided by x. 1 Suppose -36*c + 178 = -110. What is the remainder when (c/16)/((28/432)/7) is divided by 3? 0 Let k(m) = m + 23. Let h be k(8). Suppose -623 + 127 = -h*f. What is the remainder when f is divided by 8? 0 Let k be (2 + -2)/(1*(-2)/1). Suppose 5*o - 174 = 5*s - 29, -4*s + 4 = k. What is the remainder when o is divided by -2 - (-1 + (-12 - 0))? 8 Let j = -356 - -625. Suppose 2*v + 90 = -12*f + 15*f, -5*f + 152 = -3*v. Calculate the remainder when j is divided by f. 31 Let z(d) = 8*d - 20. Let q be z(8). Calculate the remainder when (4*q/(-24))/((-6)/9) is divided by 1 - (-2)/(-1)*-2. 1 What is the remainder when (4/14 - 21641/(-35))*(11 - 6) is divided by 91? 90 Let y = 1566 - 1534. What is the remainder when 985 is divided by y? 25 Suppose -385 = -4*r - 5*n, -n = -23 + 26. What is the remainder when 299 is divided by r? 99 Let s(i) = 11*i + 162. Let m(b) = -35*b + 267. Let d be m(8). What is the remainder when (74/(-5))/(1/(-5)) is divided by s(d)? 17 Let v be (-2)/(-6) - (-1)/(-3). Suppose i - 6 + 0 = v. Calculate the remainder when (6/(-2))/(2/(-6)) is divided by i. 3 Let n = 1286 - 1. Calculate the remainder when n is divided by 18. 7 Let r = -140 - -244. Suppose 64*o + 66 = 70*o - i, -3*o + 3*i + 18 = 0. What is the remainder when r is divided by o? 8 Let y(u) = -u**2 - 16*u - 22. Let t be y(-14). Suppose 0 = -5*i - 3*o + 94, -4*i + o = -71 + t. What is the remainder when 80 is divided by i? 12 Let a(l) = -l**3 - 15*l**2 - 32*l - 31. Let h be a(-13). Suppose -h - 21 = -y. What is the remainder when y is divided by 42? 26 Let q = 2407 - 2350. What is the remainder when q is divided by 41? 16 Let t = 39581 - 38840. Calculate the remainder when t is divided by 7. 6 Suppose 0 = -2*u - 3*u - 3*z + 759, 285 = 2*u - 5*z. What is the remainder when u is divided by ((-10)/(-80)*8)/(1/19)? 17 Let w be 6/(1 - 467/94 - -4). Suppose -2*l = -2*g + 104, -5*l + w = 14*g - 11*g. What is the remainder when g is divided by 20? 16 Suppose -2*x = -44 + 10. Suppose 25*b - 1782 = 7*b. Suppose 7*c - 111 = b. What is the remainder when c is divided by x? 13 Let x(r) = 29*r**2 - 2*r + 2. Calculate the remainder when x(2) is divided by ((-174)/(-21))/((-50)/(-175)). 27 Let h(w) = -w**2 + 6*w + 5. Let i = -106 - -112. What is the remainder when (3/(27/i))/((-25)/(-1350)) is divided by h(5)? 6 Suppose y - 4*y + 3*h - 54 = 0, 3*y + 46 = 5*h. Calculate the remainder when 23 is divided by ((-194)/22 - -9) + (-282)/y. 10 Let l = -7 - -25. Suppose 1 = 2*z - 3. Suppose 2*k - z*y - 212 = -k, 5*y = -5. What is the remainder when k is divided by l? 16 Suppose 3*v - 273*b = -269*b + 109, -5*v + 114 = 3*b. What is the remainder when v is divided by 19 + -1 - 4/4? 10 Let s = 6664 - 6661. What is the remainder when 2720 is divided by s? 2 Let x = 679 - 675. Suppose -2*l = -5*l + 123. What is the remainder when l is divided by x? 1 Let g be -4*((-45)/6 - -7). Suppose -g*o = a - 215 + 76, -3*o + 2*a + 226 = 0. Calculate the remainder when o is divided by 29. 14 Let h(g) = g**3 - 2*g**2 - 1. Let s(a) = -2*a**3 + 17*a**2 - 16*a + 9. Let d(o) = 4*h(o) + s(o). What is the remainder when d(4) is divided by 72? 69 Let u(z) = 17*z**2 - 86*z + 618. What is the remainder when u(9) is divided by 24? 21 Let x be 24/21 + 4/(-28). Suppose -3 + x = -l. Suppose -l*n = -3*h + 75 - 21, 72 = 4*h - 4*n. What is the remainder when h is divided by 7? 4 Let y = 196025 - 195989. Let j = 21 + 48. What is the remainder when j is divided by y? 33 Let a = -331 + -29. Let j = -272 - a. Suppose 2*p - 40 = 8. Calculate the remainder when j is divided by p. 16 Suppose -16*g - 939 = -20*g - f, 453 = 2*g - 5*f. What is the remainder when 260 is divided by g? 26 Let k(j) = j**3 + 7*j**2 + 4*j - 13. Let u be ((-4)/(-2) - 7) + -1. Let c be k(u). Calculate the remainder when 3 + (3 + -2)/c + 12 is divided by 7. 0 What is the remainder when 1 + 14/(-12) + (-252590)/(-804) is divided by 49? 20 Let n(f) = 47*f - 1893. Suppose -4*c + i + 28 = 3, -4*c + 16 = -4*i. Calculate the remainder when n(41) is divided by c. 6 Let o(j) be the third derivative of -j**5/15 + j**4/12 + 499*j**3/3 - 96*j**2 + 1. Calculate the remainder when o(0) is divided by 25. 23 Let n(b) = -11*b - 2. Let w be n(-1). Suppose 45 = 3*s - 3*v, -1 + w = -2*v. Calculate the remainder when 87 is divided by s. 10 Suppose -4976 - 329 = -218*u + 8647. Suppose -144 = -4*b - 0*y + 3*y, 2*y - 203 = -5*b. Calculate the remainder when u is divided by b. 25 Let t(f) = -f**3 - 11*f**2 - 56*f - 52. What is the remainder when t(-10) is divided by 65? 18 Suppose -4*g - 2*i - 14 = 0, 16 = 4*g - 6*g - 4*i. Let v = 33 + 25. What is the remainder when v is divided by -3 + (4 + -7)*g + 7? 8 Suppose k + s = 34, -k = -3*s - 68 + 42. Calculate the remainder when 356 is divided by k. 4 Let c(v) = -65*v + 346. What is the remainder when c(-14) is divided by 42? 38 Suppose -24*m = -40*m - 74*m + 3330. Calculate the remainder when 2569 is divided by m. 16 Let j = -417 - -450. Let f(h) = -9*h. Let r(b) = -28*b - 1. Let y(s) = 7*f(s) - 2*r(s). What is the remainder when j is divided by y(-1)? 6 Suppose 5*w + 740 = 5*x, 0 = 37*x - 32*x + w - 734. Calculate the remainder when 586 is divided by x. 145 Suppose -4563 + 574 - 1186 = -69*h. Suppose 0 = -y + 17. What is the remainder when h is divided by y? 7 Suppose 0 = 4*a - w - 38, -188*w + 12 = 2*a - 192*w. Calculate the remainder when 3*(28 + -2 + 3) is divided by a. 7 Let j(g) = 4*g + 47. Let t be j(-11). Suppose 3*w + t = 0, 5*s - s + 5*w - 43 = 0. What is the remainder when 30 is divided by s? 6 Let w(a) = -a + 17. Let s be w(-5). Let g = 28 + s. Let p = g - 44. Calculate the remainder when 6 is divided by p. 0 Let y = 26 - -9. Let s(h) be the second derivative of 3*h**4/4 - 2*h**3/3 - 12*h**2 - 83*h - 1. What is the remainder when s(4) is divided by y? 34 Let v = 33364 - 31047. What is the remainder when v is divided by 79? 26 Let t = 172 + -93. Calculate the remainder when t is divided by (-174)/319*(17 + -50). 7 Suppose -628*c - 761498 = -662*c. What is the remainder when c is divided by 131? 127 Let d(a) = -12*a**2 - 16*a**2 - 6 + 7*a + 29*a**2. Let v be d(4). Suppose -3*u + 13 + v = 0. Calculate the remainder when 101 is divided by u. 16 Suppose t - 3*g - 41 = 0, -5*t + g + 83 = -192. Suppose 5*w = 5*v + 80, -5*v + 0*w - t = 3*w. Let l = 0 - v. What is the remainder when 48 is divided by l? 9 Suppose -5*j + 3*j + 6864 = 3*v, 0 = -j - v + 3434. Calculate the remainder when j is divided by 172. 170 Let p be -34*-1*1 - 1. Calculate the remainder when (p + (-2)/2)*1 is divided by -8 + ((-64 - -37) + 43 - (1 + 0)). 4 Let n(w) = 49 + 321*w - 5 - 328*w. What is the remainder when n(-5) is divided by 28? 23 Let p = 1626 + -1625. Suppose 3*h - 69 = -0*h - k, -4*k = -12. Calculate the remainder when 79 is divided by -20 + 18 + p*h. 19 Suppose -2*k = -3*j + 28, 3*j + 0*j + k = 22. Suppose -3*b = -4*g + 144, 5*g + j*b = 10*b + 187. Calculate the remainder when 78 is divided by g. 0 Let l(r) = 49*r - 2. Let h be l(8). Suppose -171 = -3*g + h. Suppose 5*c + 5*j = -114 + 569, 2*c = -j + g. What is the remainder when c is divided by 49? 47 Suppose 12*i - 16*i - 2*g + 236 = 0, -i = -4*g - 50. What is the remainder when i is divided by 12? 10 What is the remainder when (1474/(-121))/((-1)/(-22)*-2) is divided by 16? 6 Let f(b) = 4*b**3 - 80*b**2 - 48*b + 160. Calculate the remainder when f(21) is divided by 185. 176 Suppose -33*y - 31*y + 4473 = -y. What is the remainder when 302 is divided by y? 18 Suppose 0 = -3*j + 3*p + 1683, 15 - 14 = -p. Suppose 56 = -8*n + j. What is the remainder when 110 is divided by n? 47 Let m = 475 + -457. Suppose 14*k = m*k - 16, -3*k = -4*s + 44. What is the remainder when s is divided by 14? 0 Suppose 2 = 5*c - 3. What is the remainder when (3/(-5))/(6 - (-1955)/(-325)) is divided by 1 + 23 - (2 + c)? 18 Suppose -3*q + 228 = 2*a, -5*a + 126*q + 627 = 124*q. Calculate the remainder when 1963 is divided by a. 118 Let c(j) = -4*j**3
{ "pile_set_name": "DM Mathematics" }
at is the fourth smallest value in 1/4, 2/7, 3, 11/7, 41, 1/3? 11/7 What is the third smallest value in -0.03, -39, 5.9, 3.1, 1/3? 1/3 What is the smallest value in 0.2, -0.01, -14/3, 5/6, 1? -14/3 What is the second smallest value in -3/2, 1, -88, -0.1, -1? -3/2 What is the third biggest value in 11, -0.4, -11, -0.06, 3/16, -0.5? -0.06 Which is the biggest value? (a) 10 (b) -2/5 (c) 0 (d) -1/23 (e) -21 a What is the smallest value in -7, -0.3, 1/11, -4, -0.1? -7 Which is the third biggest value? (a) -4 (b) 8.95 (c) -37 c Which is the second biggest value? (a) -29 (b) 2/7 (c) -499 a Which is the smallest value? (a) 2/7 (b) 4 (c) -1/3 (d) 2/157 (e) -7 (f) 1 e What is the fourth smallest value in 2/7, 7, -4/3, -0.4, 5, -17/3? 2/7 What is the sixth smallest value in -3, -0.4, 0.3, -3/2, 1009, 4? 1009 Which is the second biggest value? (a) -0.5 (b) 3 (c) 12 (d) 102 c What is the second biggest value in -0.14, 3/7, 20? 3/7 What is the fourth smallest value in 49/12, -0.3, 3/5, 5? 5 Which is the biggest value? (a) 0.068 (b) 1/4 (c) 2 (d) -0.4 (e) -152 c Which is the sixth smallest value? (a) 3/8 (b) 3/5 (c) 0.01 (d) -4.7 (e) -1/9 (f) 0.1 b What is the second smallest value in 4, -0.8, 34/37, -0.1? -0.1 What is the fourth smallest value in -57, -4, -3, -681? -3 What is the smallest value in -5, 27, -9050, -0.2? -9050 Which is the third biggest value? (a) -1/24 (b) -2/9 (c) -3 (d) 0.2 (e) 266 a Which is the fourth smallest value? (a) 0.2 (b) 0.08 (c) 90 (d) -4 (e) -7 a What is the biggest value in -38, -0.13, -4, -2.13? -0.13 Which is the second biggest value? (a) -3/5 (b) -0.3 (c) -3/2 (d) -12791 (e) -5 a Which is the sixth smallest value? (a) 1/5 (b) 6 (c) 3/4 (d) -4 (e) 18 (f) 2/9 e Which is the fifth biggest value? (a) 1/4 (b) 201 (c) 3/5 (d) 0 (e) 0.5 d What is the biggest value in -0.33, -0.5, 0.05, 0.1, 1? 1 What is the second biggest value in -20, -0.2, -0.6? -0.6 What is the fifth smallest value in 0.345, -3, 3, 11.4, 1/5? 11.4 Which is the fourth biggest value? (a) 4.1 (b) 2/9 (c) -2/11 (d) -4/15 d What is the fourth smallest value in 0.4, -2/15, -2, 2/2187, -5? 2/2187 Which is the biggest value? (a) 16/7 (b) 2.4 (c) 202 c Which is the fifth smallest value? (a) 4 (b) -1 (c) -3 (d) -85 (e) -0.2 (f) -17/6 e What is the third biggest value in 4, 0.2, 10005? 0.2 Which is the fifth smallest value? (a) -0.6 (b) 65 (c) 2/151 (d) -3 (e) 0.1 b What is the fourth smallest value in -0.011, 66/5, 1, -2? 66/5 What is the fifth biggest value in -560, 0.1, -4, -2, 1/5? -560 Which is the second biggest value? (a) -0.3 (b) 0.69 (c) 0.5 (d) -2/11 (e) 599 b What is the second biggest value in -1/6, 7, -6, -305/2? -1/6 What is the second biggest value in 113, -2/7, 0, -1/3, -5, 5? 5 Which is the third smallest value? (a) 77 (b) 2 (c) 0.0455 a Which is the second smallest value? (a) -2 (b) -1 (c) 312 (d) 0.2 (e) -0.15 b What is the smallest value in -1/5, -4/3, 0.2, 26/5, -0.018, -0.3? -4/3 Which is the biggest value? (a) 4.93 (b) -1/4 (c) -35 a Which is the second biggest value? (a) 1/6 (b) 380 (c) -3/4 (d) -1 a What is the third smallest value in 19, 1/3, -109/396? 19 Which is the fourth smallest value? (a) -3 (b) -158 (c) 3 (d) 2/5 c What is the second biggest value in 5, 2/9, 19, 16? 16 What is the biggest value in -1/2, 0.2, 68? 68 Which is the fourth smallest value? (a) 59/4 (b) -3 (c) 1 (d) 0.11 (e) 5 e Which is the smallest value? (a) 1/2 (b) -19639 (c) 1 b What is the smallest value in 14, 0.07, 6, 3, 15? 0.07 What is the third biggest value in -5/4, -1/3, 0.1, -4, -183, -2/7? -1/3 What is the biggest value in -1/4, -1/599, 7, 12? 12 What is the third biggest value in -1/4, 3, 20, -4, -12/95? -12/95 Which is the third biggest value? (a) 18 (b) 2/5 (c) -3/5 (d) -1 c What is the biggest value in -9, 31, 3, -0.5, -0.17, -0.3? 31 What is the second biggest value in -29/3, -3, 0.029, 20? 0.029 Which is the fourth smallest value? (a) -2 (b) 0.031 (c) 1 (d) -0.033 (e) 0.1 e What is the fourth biggest value in 6.81, -2/5, -13/6, 0.05? -13/6 What is the third biggest value in -0.778, 5, 2/17, -3? -0.778 Which is the second smallest value? (a) 0 (b) 9739 (c) 4/31 c Which is the fourth biggest value? (a) 5 (b) 0.4 (c) -3.5 (d) -0.044 (e) -1/3 (f) 0.3 d What is the smallest value in -26, -10, -114, 0? -114 Which is the fourth biggest value? (a) 0.2 (b) -3/4 (c) -3.5 (d) -0.2 (e) 1/8 (f) -0.0231 d What is the third smallest value in 6/11, -210, 0.9? 0.9 Which is the smallest value? (a) 3.53 (b) 0.3 (c) -13 (d) 0 c What is the biggest value in 1/8, 2676, 0.008? 2676 Which is the third biggest value? (a) -2/5 (b) -0.2 (c) -56 (d) 1/4 (e) -4/11 e What is the fifth biggest value in -1/2, 5, 147, -0.049, -0.3? -1/2 What is the fourth smallest value in -0.94, -7382/9, 5, 0.1? 5 Which is the fourth biggest value? (a) 1/5 (b) -0.0722 (c) -4 (d) -0.4 c Which is the third smallest value? (a) -19/137 (b) 10 (c) -4 b What is the second smallest value in -283, -213, 2? -213 What is the second smallest value in 346, 0.033, 5? 5 What is the smallest value in -44/7, -5, 0.1? -44/7 Which is the biggest value? (a) -0.11 (b) 0 (c) -0.1 (d) -0.7 (e) -1 (f) 2/63 f Which is the second biggest value? (a) 1/7 (b) 704 (c) 3 (d) -1/6 c Which is the third biggest value? (a) -23 (b) 29 (c) 3 (d) 1.2 (e) 3/7 d Which is the second smallest value? (a) -23 (b) 3/2 (c) 1/35 (d) -2/17 d Which is the second biggest value? (a) 0.2 (b) -0.4 (c) -272 b Which is the second biggest value? (a) -9/16 (b) 2 (c) -1 (d) -4 (e) 4 (f) 0.4 b Which is the biggest value? (a) -0.582 (b) 2/3 (c) -43/4 b Which is the fourth biggest value? (a) -1.63 (b) -1 (c) -4 (d) 0.5 (e) -9 c What is the biggest value in -1, 31, 3/2, -0.3, 9/16? 31 What is the third biggest value in 5, 3/4, 854409? 3/4 Which is the third biggest value? (a) 7.208 (b) -6 (c) -1 b Which is the third biggest value? (a) 601 (b) 1 (c) -1/3 (d) -90 (e) 0.1 e Which is the second smallest value? (a) 5 (b) -3 (c) -0.03296 (d) 2/19 (e) 0.5 c What is the third smallest value in 0.3, 2/3, 0.895, 0.08, 3? 2/3 Which is the third smallest value? (a) -1 (b) 0.2 (c) 5 (d) 5/4 (e) 2 (f) -0.1 b Which is the fourth smallest value? (a) 0.4 (b) 33 (c) -58 (d) 1 b Which is the third smallest value? (a) -5 (b) 7 (c) -29 (d) 0.4 d Which is the smallest value? (a) -1/2 (b) -4 (c) -76420 (d) 2 c Which is the fifth smallest value? (a) -1/17 (b) -8 (c) -91 (d) 0 (e) -1/3 d Which is the second smallest value? (a) -5 (b) -1/70 (c) -375 (d) -2/5 a Which is the fourth biggest value? (a) -0.2 (b) 14 (c) -5 (d) -0.03 (e) -1 e Which is the biggest value? (a) 0 (b) -101 (c) -40/23 (d) 0.5 d Which is the third biggest value? (a) 0 (b) -0.3 (c) 186 (d) -136 b What is the biggest value in 1, 23, 0.346? 23 Which is the second biggest value? (a) -1/7 (b) -989 (c) 3/5 (d) 2/23 (e) 0.3 (f) -7 e Which is the smallest value? (a) -106 (b) 5 (c) -2 (d) 3/2 (e) -2/11 a What is the third smallest value in 15358, 5, -21? 15358 Which is the sixth smallest value? (a) 4/7 (b) 1 (c) -1 (d) 3 (e) -0.5 (f) -72/245 d What is the third smallest value in -3, 15/2, -1/3, 9/77? 9/77 What is the fourth smallest value in -0.0179, 0, 0.1, 0.5? 0.5 What is the third biggest value in -12, 0.4, 237? -12 What is the fifth smallest value in 68, -0.2, -3, 5, 2? 68 Which is the smallest value? (a) -45 (b) -7/216 (c) 4 (d) 0.1 a What is the biggest value in -908, 0.2, 3, -1? 3 What is the biggest value in -121, 54, 10/3? 54 Which is the smallest value? (a) 0 (b) -15 (c) -0.014 (d) 3/2 b What is the fourth smallest value in -8, -2/3, -2/11, -54? -2/11 What is the second biggest value in 0.02, 2/13, -0.5, -0.08, 4/15? 2/13 Which is the second biggest value? (a) -25/304 (b) 0.2 (c) -0.4 (d) -5 (e) -1/7 a Which is the fifth smallest value? (a) 0.3 (b) -2/7 (c) -59 (d) -0.26 (e) -4 a Which is the biggest value? (a) 0.03 (b) 8486 (c) 1 b What is the smallest value in -2/17, 4, -132/83? -132/83 Which is the fifth biggest value? (a) 3 (b) 2/29 (c) 2/1
{ "pile_set_name": "DM Mathematics" }
)/(-5))/2 - (-91)/(-65)? -6/5 25 + -20 - (1 - 2) 6 Calculate 2 - (-3 - (-5 + 3)). 3 4/8*(-3)/42*-4 1/7 (-46)/8 + (-3)/(-4)*1 -5 Evaluate (-800)/(-140) + 2*-3. -2/7 Calculate ((1*(-7 - -12))/(-2))/2. -5/4 What is the value of ((-918)/(-5355))/((-6)/(-28))? 4/5 What is 2 - (-48)/280*-5? 8/7 What is the value of ((-8)/(-110))/((-9)/(270/12))? -2/11 What is (7 - 5)*(-3)/2? -3 What is ((-17)/(-119))/((-1)/3)? -3/7 (-78)/182*7*(2 - 0) -6 What is 36/(-126) + 45/700*6? 1/10 What is (-2)/(-10) + ((-252)/(-15) - 10)? 7 Evaluate (0 - (-42)/15) + (-59)/(-295). 3 What is 1 - 1*(7 + -6)? 0 Evaluate ((2/3)/1)/((-6)/(-45)). 5 Evaluate (-18)/(-28)*(-9)/648*42. -3/8 What is the value of (-13)/(-65) - 28/40? -1/2 What is (-48)/(-20)*(-85)/34? -6 Calculate (4 - 1)*1*(-3)/30. -3/10 Evaluate (-1 - -4)*32/(-720). -2/15 Calculate (6/4)/(-12 - (-29)/2). 3/5 What is the value of -3 + 0 - -3 - 0? 0 (-9 - 1)*(-12)/360*-15 -5 Evaluate (-1 - (-27)/63)*70/(-4). 10 Evaluate (-1)/(-35) - 1*(-6)/(-14). -2/5 Evaluate (7 + 435/(-45))/(2/3). -4 Evaluate (1 + (-4 - -1))/(10 + -19). 2/9 What is 1*(-7 + 5 - -8)? 6 What is (-49)/28 + (-6)/(-8)? -1 Evaluate (-56)/(-10) - 12/26*13. -2/5 (-1)/3*11 + (-2)/6 -4 What is (-20)/(-5) - 0 - -1? 5 Calculate 2*(3 - (-17)/(-5)). -4/5 Evaluate (-1)/8*2 - 45/108. -2/3 What is the value of ((-1)/(-3))/(99/27 + -3)? 1/2 Evaluate 30/9 - 3904/1200. 2/25 What is the value of 22/(-10) - -3 - (-4)/(-30)? 2/3 Calculate 2 - (2/((-6)/3) - 2). 5 Calculate (9 - (4 + 3)) + 64/(-34). 2/17 Evaluate 80/18 - (-4)/(-1). 4/9 What is the value of (-21 - -9) + 14 + -5? -3 What is the value of 1/(-1 - 4/(-6))? -3 Evaluate ((-3)/(-3) + 1/(-2))*1. 1/2 What is 2/(-14) - 1/238*-62? 2/17 Calculate (0 - 2)*6/36*-3. 1 -1 - (-1)/(-3 - -6) -2/3 Evaluate (5/10)/((-1)/(-4)). 2 (-17 + 5)/4*(-4)/66 2/11 -1 + 4 + (6 + -6)*-1 3 Evaluate (-4)/(-18) + 91/(-126). -1/2 Calculate (-4)/7 - -1 - (-195)/819. 2/3 What is (-153)/45 - (-8)/20 - 5? -8 ((-9)/(-21))/(3/21) 3 Evaluate ((-32)/(-6) + (-30)/90)*1. 5 (-2)/13 - (-33)/351*4 2/9 What is the value of 8/(-6) - (-52)/(-36)*-3? 3 What is 1/((-3)/(-20))*(-84)/(-70)? 8 What is (-7)/((-42)/(-6)) + -1 + 9? 7 Calculate 45/(-108)*8/(-30). 1/9 What is the value of 1/(-15)*(-104 - -95)? 3/5 Calculate (-1)/(-10)*35/(-21). -1/6 (-9)/1 - (-120)/30 -5 Calculate (-6)/(66/55) + (-31)/(-5). 6/5 What is 10/(-3 + (-18)/(-3)) - 4? -2/3 2/(6 + (-66)/12) 4 What is the value of (-7 - 1)/((-28)/14)? 4 (-2)/12*(-15)/5 1/2 What is the value of (-26)/(-39)*-3 + (-6)/(-1)? 4 Evaluate ((9/(-6))/(-3))/3. 1/6 Calculate 2/6*(-96)/176. -2/11 Evaluate ((-4)/14)/(4 + -2 + -1). -2/7 What is the value of -4*(-1)/48 - 4/12? -1/4 What is -2 + ((-160)/(-14))/5? 2/7 Calculate (-16 - -8)/(2 + 0). -4 Evaluate (63/(-189))/(1 + 16/(-18)). -3 Calculate -1 + 2 + (-1 - 2/(-19)). 2/19 What is the value of 3*((-32)/(-6))/4? 4 What is the value of (-3)/(-2)*-2 - -6? 3 (-2)/13 + (-134)/(-26) + -1 4 2/3*(-8 - (-35)/10) -3 Calculate (-8)/(-2) - (4 - 8/4). 2 (-3)/(-3)*(-2)/(-6) 1/3 (1 + 22/(-30))/(3132/(-870)) -2/27 What is the value of (-87)/4 + 15 - -7*1? 1/4 26/10 - 2/1 3/5 What is the value of 21/21 - (-10)/(-2)? -4 Calculate (-48)/(-192) - 21/4. -5 What is ((4 - -5) + -4)*2/(-5)? -2 What is -79 - -73 - ((3 - 1) + -1)? -7 Evaluate (-15)/(-18) + 105/70. 7/3 Evaluate ((-441)/98)/(2/(-4)). 9 Evaluate (0 - -6) + (-1 - 5). 0 What is ((-5)/(50/(-4)))/(18/(-5))? -1/9 What is the value of ((-8)/3 + 2)/(72/18)? -1/6 Calculate 39/(-6) - (-13 + 7). -1/2 What is the value of (-2)/(-1) - (-252)/(-119)? -2/17 Calculate -3*(-10)/(-45) + 65/(-15). -5 What is the value of (0/(-5))/(-1 + 3)? 0 459/(-810) - 2/(-3) 1/10 What is the value of ((-4)/(-6))/(2032/(-168) + 12)? -7 Calculate ((-122)/14 - -9)/(2/14). 2 Evaluate (-3 + -1 - (-176)/40)*20. 8 What is the value of 5/(50/(-4)) + (-496)/310? -2 What is ((-4)/(-6))/(-2 - (-15)/9)? -2 Evaluate -5 + (4 - 10/(-5)). 1 -3 - -17 - (13 + -8) 9 Calculate (-378)/(-693)*(-44)/(-6). 4 4/(-26) + (-5338)/18369 -4/9 Evaluate (-4 - (2 - 1))/(-2 + 1). 5 Calculate 30/(-8)*(-3)/18*8. 5 5/72 + -21 + (-4810)/(-234) -3/8 Calculate 1 + 4/(40/(-6)). 2/5 What is (5/(-1))/((-670)/(-268))? -2 Evaluate (561/55)/(-17)*25/(-3). 5 What is the value of 7 + 3 + 0 + (-40)/10? 6 What is the value of (1/(-3))/((-3)/6)? 2/3 (-34)/(-119) + ((-135)/84)/3 -1/4 Calculate 4 + (-5)/35*-7. 5 Evaluate ((-504)/27 + 18)/(4/(-18)). 3 Calculate (6/10)/((-16 + 22)/90). 9 Evaluate (-28)/(-21)*3/(-12). -1/3 2350/(-385) + 6 - (-2)/(-11) -2/7 What is the value of (3 + -2)/(-2 + (-25)/(-15))? -3 Calculate (-6)/2 + (5/4 - -2). 1/4 What is (5 - (5 + -6))*3/(-42)? -3/7 Evaluate (6/16)/((-13)/4 + 4). 1/2 ((-42)/(-84))/(1/2) 1 Evaluate (44/11)/(28/(6/3)). 2/7 What is the value of (-8)/20*(-12 + 2)? 4 What is the value of (((-6)/(-10))/(18/90))/10? 3/10 What is (-1 - -6) + 11/((-528)/252)? -1/4 Evaluate -3 + (-8)/(-32) + (-75)/(-36). -2/3 Evaluate 8/1*8/32. 2 Calculate -2*(-2)/4 + (-21)/14. -1/2 Calculate (-57)/12 + 2/(-8). -5 Evaluate (-189)/486 + -2 + (-80)/(-36). -1/6 What is ((-20)/12)/(-11 - (-762)/72)? 4 Calculate (-154)/(-1232) + 22/(-304). 1/19 70/88 + 23/((-3036)/72) 1/4 Calculate 7 + -3 - (-66)/(-17). 2/17 What is the value of (-4)/(-9)*7/((-266)/19)? -2/9 -3*(-4)/18 - (-210 + 212) -4/3 Calculate -7*((-230)/560 + 1/8). 2 What is (-4)/54 + 19856/1971? 10 What is the value of (-35)/(-21) - 145/60? -3/4 What is -6 + (-3 - 87/(-9))? 2/3 Calculate 3528/(-162) + 15 - (-8 - -1). 2/9 What is 5 + -1 - (-7 + 114/12)? 3/2 What is the value of -7 - (-9 + (7 - 0))? -5 (-31)/6 + 62/93 -9/2 What is (14/(-119) + 0)/(12 - 10)? -1/17 What is the value of -2 + 1 + -12 + 15? 2 Evaluate -3 - (399/18)/(-7). 1/6 0/(-1 - 0 - 1) 0 What is (-10)/20 + 2/(-8)? -3/4 Evaluate 1/15*3*-1. -1/5 What is (-8)/(-6)*9/(-6)? -2 What is the value of 1/(1/4) - (-11)/(-3)? 1/3 Calculate (1827/270)/(-7) + 4/5. -1/6 (-1)/(1/4) + 40/12 -2/3 What is (2 + 40/(-15))*-3? 2 ((-2)/(-6) - 1)/((-8)/9) 3/4 What is the value of (-2)/(-9) + 1482/(-351)? -4 Evaluate (-45)/(-105) + (2 - (-44)/(-21)). 1/3 Evaluate ((-3)/6)/(-3 + (-46)/(-12)). -3/5 ((-4 - 3) + 7)/5 0 2*5/(-2) - (-6 - -4) -3 (3/(9*77/42))/1 2/11 8619/1547 + (1 - -2)*-2 -3/7 What is -1*(-2)/88*-8*1? -2/11 Evaluate (-77)/44 - (0 - (-10)/(-8)). -1/2 Evaluate (-2)/(-4)*(-24)/(-102). 2/17 (3 + (-8)/4)*-4 -4 Calculate ((-4 + 4)/5)/(-2). 0 What is 100/(-2600) + (-181)/26? -7 What is the value of (-38)/10 - 2/30*3? -4 Calculate (-48)/15 - (-12)/(-15). -4 Evaluate 12/126 - 0*(0 + 1). 2/21 What is 8 + (-16)/4 - 5? -1 Calculate (-8 - 92/(-12))*12/(-58). 2/29 What is (6/126 + 2/7)/(-1)? -1/3 Evaluate 1/8 + -17 + 17. 1/8 What is (-2)/4*(-24 - -25)? -1/2 Calculate 2392/11592 - (22/(-18) - -1). 3/7 What is 3/7*12/18? 2/7 What is ((-896)/14)/8 - 1? -9 (0/21)/(1 + 1) 0 What is the value of (-3)/30 - 27/(-45)? 1/2 Evaluate (14/(-10) + 66/40)*24. 6 Calculate 3/27*6/(-4). -1/6 Evaluate (468/(-27) - -14)*3/(-2). 5 Calculate 2 - 3/(-3) - 0/(-3). 3 Calculate 2 - (35 + 5)/5. -6 Calculate -6 + (-7 - (-5 - 4)). -4 Evaluate (-1 - -3 - 2) + 25/200. 1/8 Calculate (-564)/987 - 76/14. -6 Calculate 3 + -1 - (-18 + 4 - -10). 6 Evaluate (-1645)/658*(4 - (1 + 1)). -5 Calculate (-1584)/(-360) + (-4)/10. 4 What is ((-10)/3*(-60)/50)/(-1)? -4 Calculate (-4)/44 - 42/(-3003). -1/13 Evaluate (-5)/15 - (-2 - (-14)/(-6)). 4 Calculate 76/19 + 50/(-14). 3/7 What is the value of -3 - (1280/(-56))/8? -1/7 What is the value of -12 + 15/4 + 7? -5/4 (-2)/((-3)/(-18)*-3) 4 What is the value of (-4)/2 - ((-6)/3 - -2)? -2 (6/8)/((-144)/(-192)) 1 Evaluate (-6)/(-9)*(-15)/2. -5 Evaluate (1 + 1)*(124/(-10) + 12). -4/5 What is the value of ((-372)/(-72) + -5)/(4/18)? 3/4 Calculate 34/10 + (-2)/((-10)/(-15)). 2/5 What is 8/(-18)*(-9)/12? 1/3 Evaluate 22/6 - (-68)/(-102). 3 What is the value of (8/5)/((-224)/35 + 6)? -4 What is (-16)/64 - (-22)/8? 5/2 What is (-51)/102 + 18/40*2? 2/5 Evaluate (14 + -18)/(6 - 1). -4/5 Calculate 3/2*(-14)/3. -7 (12/(-9))/((-18)/27) 2 What is 3 - (35/10)/7? 5/2 What is 9 + -7 + 7 - (-4)/(-1)? 5 (-1 + 1)/(-2) + 9/(-45) -1/5 What is (-210)/(-588)*((-72)/(-15))/(-3)? -4/7 -18*(30/(-9) + 3) 6 Calculate -9 - -74*(-21)/(-182). -6/13 What is (4/(-6))/(19/(-171)) + -2? 4 Calculate 57/(-152) + 13/(-8) + -1. -3 Calculate (-7)/(7/3) +
{ "pile_set_name": "DM Mathematics" }
ple of 166? False Does 16 divide 161620? False Does 8 divide 23206688? True Does 30 divide 533031? False Does 109 divide 2161579? True Is 17 a factor of 315157? False Is 28 a factor of 155301? False Is 13 a factor of 888141? False Is 15 a factor of 110536? False Is 385 a factor of 669130? True Is 23678266 a multiple of 155? False Is 74519 a multiple of 176? False Is 3661170 a multiple of 19? False Does 28 divide 94308? False Is 1461429 a multiple of 10? False Is 3 a factor of 1464000? True Is 5 a factor of 70115? True Does 62 divide 36332? True Is 24 a factor of 45585? False Does 20 divide 273751? False Does 4 divide 117586? False Is 13 a factor of 5700538? False Does 130 divide 9717500? True Is 120680 a multiple of 28? True Is 123 a factor of 987936? True Does 16 divide 12766460? False Does 2871 divide 25201208? False Is 31844 a multiple of 31? False Is 7101089 a multiple of 32? False Does 9 divide 328764? False Is 90208 a multiple of 4? True Does 14 divide 44331? False Is 3 a factor of 11079? True Is 28 a factor of 18032? True Does 11 divide 854468? False Is 2318745 a multiple of 517? True Is 259616 a multiple of 488? True Is 2825022 a multiple of 6? True Is 1051333 a multiple of 11? False Does 39 divide 1170039? True Is 12 a factor of 127128? True Is 80754 even? True Is 345100 a multiple of 170? True Is 525928 a multiple of 13? True Is 3 a factor of 538194? True Is 264473 a multiple of 63? False Is 43775 a multiple of 25? True Is 20382 a multiple of 258? True Is 119 a factor of 203343? False Does 134 divide 783230? True Is 51485 a multiple of 48? False Does 1110 divide 1315350? True Is 32 a factor of 676480? True Does 69 divide 7010928? False Is 429522 a multiple of 84? False Is 40 a factor of 1253680? True Is 122859 a multiple of 94? False Is 74 a factor of 82288? True Is 529060 a multiple of 237? False Is 50 a factor of 10846950? True Does 405 divide 3431778? False Is 14 a factor of 537913? False Does 117 divide 12071475? True Is 547 a factor of 5061938? True Is 9 a factor of 5813550? True Is 84 a factor of 2548056? True Is 40 a factor of 247672? False Is 18 a factor of 39215? False Is 1165984 a multiple of 664? True Is 29216 a multiple of 19? False Does 914 divide 358534? False Is 94392 a multiple of 184? True Is 2079984 a multiple of 34? True Is 63763 a multiple of 4? False Is 8 a factor of 57904? True Is 3 a factor of 154395? True Is 54 a factor of 51867? False Does 6 divide 84343? False Is 23 a factor of 63866? False Does 12 divide 104219? False Does 91 divide 1954468? False Is 14 a factor of 1164548? True Is 968608 a multiple of 16? True Is 59076 a multiple of 37? False Does 7 divide 1553434? False Is 61 a factor of 133651? True Does 22 divide 7181174? True Is 22 a factor of 7226984? False Is 55 a factor of 837375? True Does 2 divide 121500? True Does 2 divide 37536? True Is 5906892 a multiple of 6? True Is 1963879 a multiple of 21? False Does 130 divide 218140? True Is 525389 a multiple of 53? True Does 5 divide 54794? False Is 152180 a multiple of 7? True Is 1426875 a multiple of 15? True Is 118 a factor of 5797576? True Is 3409685 a multiple of 755? False Does 132 divide 100848? True Does 186 divide 5811198? True Is 43 a factor of 3865743? True Does 76 divide 1151096? True Does 31 divide 188648? False Is 11437743 a multiple of 1929? False Is 394 a factor of 7266148? True Is 11466323 a multiple of 260? False Is 338 a factor of 65624? False Does 510 divide 95880? True Is 4274478 a multiple of 39? True Is 7503232 a multiple of 270? False Is 6 a factor of 284766? True Is 16434 a multiple of 2? True Does 346 divide 343924? True Does 168 divide 7018704? True Does 20 divide 29379298? False Is 884 a factor of 1735032? False Does 201 divide 5227361? False Is 28 a factor of 251161? False Is 770874 a multiple of 39? True Is 1821185 a multiple of 384? False Is 2739070 a multiple of 232? False Is 38998 a multiple of 62? True Is 16 a factor of 9036112? True Is 150177 a multiple of 52? False Is 2741665 a multiple of 2? False Is 708822 a multiple of 18? True Does 381 divide 85869? False Does 11 divide 3064402? True Is 50 a factor of 1070650? True Is 901628 a multiple of 26? True Does 41 divide 3307413? False Does 39 divide 7207? False Is 631 a factor of 6057600? True Is 71 a factor of 160572? False Is 2568186 a multiple of 54? True Does 55 divide 82553? False Is 26 a factor of 10140? True Is 10 a factor of 137871? False Does 52 divide 173627? False Is 136684 a multiple of 155? False Is 100 a factor of 1786884? False Is 75194 a multiple of 5? False Does 846 divide 1291842? True Does 100 divide 53042? False Is 4 a factor of 428068? True Is 2248320 a multiple of 30? True Is 5293404 a multiple of 828? True Is 132 a factor of 4873020? False Is 17 a factor of 184021? False Does 1425 divide 5943675? True Does 777 divide 32639439? True Is 8 a factor of 133712? True Does 9 divide 88527? False Is 204479 a multiple of 117? False Is 23950 a multiple of 26? False Does 6 divide 19038? True Is 2671 a multiple of 29? False Is 13973232 a multiple of 7? True Is 93612 a multiple of 12? True Does 11 divide 178457? False Does 96 divide 811296? True Is 28381 a multiple of 356? False Does 31 divide 2639495? True Is 885996 a multiple of 36? True Does 26 divide 179374? True Does 7 divide 6626722? False Is 700 a factor of 3133900? True Does 7 divide 13125? True Is 61152 a multiple of 56? True Does 59 divide 33571? True Does 13 divide 1236097? False Is 15457 a multiple of 25? False Is 13956792 a multiple of 1446? True Is 18869 a multiple of 2? False Is 3009649 a multiple of 59? True Does 825 divide 1162542? False Is 304328 a multiple of 15? False Is 67770 a multiple of 270? True Is 15 a factor of 3904710? True Does 755 divide 2006509? False Is 3629056 a multiple of 77? False Is 14 a factor of 45856? False Does 663 divide 3577134? False Is 8060 a multiple of 31? True Is 210 a factor of 12721380? True Is 691713 a multiple of 297? True Is 85 a factor of 13600? True Is 78 a factor of 165204? True Does 449 divide 856692? True Does 180 divide 64260? True Does 27 divide 5426141? False Is 1531112 a multiple of 127? True Is 2492600 a multiple of 515? True Does 13 divide 163580? False Does 64 divide 1578247? False Does 186 divide 982265? False Is 34 a factor of 389122? False Is 156 a factor of 664092? True Does 14 divide 17258528? True Is 16 a factor of 131413? False Is 890864 a multiple of 104? True Is 108589 a multiple of 4? False Is 350541 a multiple of 543? False Is 203990 a multiple of 17? False Is 3050627 a multiple of 42? False Is 121110 a multiple of 110? True Does 23 divide 82234? False Does 5 divide 142295? True Does 9 divide 1667682? True Does 9 divide 5657067? True Is 14 a factor of 124435? False Is 243 a factor of 3438936? True Is 2284586 a multiple of 23? False Is 80190 a multiple of 165? True Does 66 divide 969792? False Is 14 a factor of 1836723? False Is 9051225 a multiple of 8? False Is 2 a factor of 101449? False Is 108 a factor of 26321976? True Does 554 divide 628236? True Is 2367520 a multiple of 16? True Is 238068 a multiple of 120? False Is 14657 a multiple of 16? False Does 33 divide 6651315? True Is 184993 a multiple of 30? False Is 400 a factor of 22400? True Is 14627 a multiple of 52? False Is 3763 a multiple of 7? False Is 488425 a multiple of 140? False Is 5261046 a multiple of 547? True Is 3563017 a multiple of 163? True Is 508 a factor of 33535112? True Is 608150 a multiple of 25? True Does 17 divide 37111? True Is 2908439 a multiple of 29? True Is 320918 a multiple of 16? False Is 157 a factor of 7160815? False Is 336 a factor of 13517? False Is 480842 a multiple of 29? False Is 66657 a multiple of 10? False Is 2030992 a multiple of 472? False Does 22 divide 4437? False Does 88 divide 3554418? False Does 704 divide 3785342? False Does 49 divide 3808? False Does 632 divide 419648? True Is 17345773 a multiple of 442? False Is 5591439 a multiple of 1007? False Does 115 divide 167210? True Does 18 divide 5005813? False Does 39 divide 440388? True Does 15 divide 4728690? True Is 96 a factor of 205896? False Is 42 a factor of 49662? False Is 112769 a multiple of 23? True Is 4815229 a multiple of 34? False Is 1183 a factor of 7811349? True Is 1603344 a
{ "pile_set_name": "DM Mathematics" }
)/r)*r/(r*r/r**(-2)*r*r)*r**42 assuming r is positive. r**(417/11) Simplify (b/b**6*b*b**(-2/11))**(-3/13)/((b**(-2/7)*b*b*b*b**(6/7))/(b**(1/5)/(b/(b*b*b/(b*b**(-2/13))*b*b*b)))) assuming b is positive. b**(8746/5005) Simplify ((p*p**(2/13)*p**(-1))/(p*p/(p*p**(-1/11)/p)*p*p*p**0*p))/(p/((p*p**(-2/17)/p*p*p)/p)*p**5)**(-41) assuming p is positive. p**(498079/2431) Simplify ((((j**(1/2)*j)/(j/(j*j**(-2/9))))/(j*j**(-2/3)/j)**(-9))**(1/5))**(1/26) assuming j is positive. j**(-17/468) Simplify ((v/((v**(-3/5)/v)/v*v))/v**(3/4)*(v/v**(-1))**(-42))/((v*v**(-1/3))/(v*v*v*v*v**(1/3)*v*v))**(-1/11) assuming v is positive. v**(-54559/660) Simplify (n**(29/5))**5/((((n/(n**24/n*n))/n)/n)/n**46) assuming n is positive. n**100 Simplify (((a/a**(-2))/a*a/a**(-15))/(a*a**(-4))**(-2/75))**(-19) assuming a is positive. a**(-8512/25) Simplify (y*y**(1/3))**(8/11)/(((y*y/(y**(-4/5)*y*y))/y*y)/(y*y*y**(-7)*y*y))*((y**(1/3)/y)/(y*y**(-3)))/(y**(2/19)*y**6) assuming y is positive. y**(-23833/3135) Simplify ((((g*g/(g/(g*g**(-1)/g))*g*g)**1)**(-15))**(-2/93))**(2/23) assuming g is positive. g**(40/713) Simplify ((((w*w**(-1/8))/(((((w/(w*w*(w/(w/((w*w**(3/7))/w)))/w)*w)/w)/w)/w)/w))/(w**0)**(6/5))**(-2/15))**(-32) assuming w is positive. w**(1928/105) Simplify u**7/(u/u**(2/5))*(u**(1/3))**(-14/13)*(u*u**(-1/2)*u/(u*u**(-2/5)*u)*u)**(-38/7) assuming u is positive. u**(1577/1365) Simplify (((o/(o/(o/(o*o**(-4)))))**(-18)/((o**5/o)/o**(7/3)))**24)**25 assuming o is positive. o**(-44200) Simplify ((o**0)**(2/5)*o/(o/(o*o*o**6*o))*o*(o*o*o*o/(o*o/(o*o*o**1)))/o*o)/((o*(o/(o**(-8/7)*o))/o*o)/(o/o**(-3/8)))**(-1/13) assuming o is positive. o**(10963/728) Simplify ((n**1/n)/(n*n/((n/n**3)/n))*n**(3/2)/n**6)/((n*n/(n*n*(n**(-2)*n*n)/n*n)*n**(-4))/(n**(1/7)/n*n*n*(n*n/n**(-2/25)*n)/n)) assuming n is positive. n**(-797/350) Simplify ((b/(b/(b*b**0)*b))/(b**(-3/4)/b)*(b**(-1))**(-3/14))/(b*b**(-14)*b*(b*b**(-2/53)*b)/b)**49 assuming b is positive. b**(805535/1484) Simplify ((w/w**(-2/3)*w)/w**(-11))**(6/23)*((w/w**4*w)/(w/w**(-8)))/(w**7*w**(-1/15)*w) assuming w is positive. w**(-5302/345) Simplify ((x*x**(-2/15))/x**(-10/3)*x**13/x*x**10*x)**12 assuming x is positive. x**(1632/5) Simplify x/x**(14/11)*x*x**(-4/19)*(x/((x*(x/x**(2/15))/x)/x))**45 assuming x is positive. x**(10767/209) Simplify (a**2/(a**(-16)*a)*(a*a**12/a)/((a/((a*a**0)/a))/a))**(2/3) assuming a is positive. a**(58/3) Simplify ((k**(2/13)/k)/(k*k/(k/k**(1/4)*k)))**(-1/8)*((k**(-2)*k)/k*k)**34*((k/k**(2/7))/k)**(1/20) assuming k is positive. k**(-493253/14560) Simplify ((l**(-2)/l)/(((l**(-1)/l)/l)/l*l))/(((l**(-5)/l)/l*l)/(l**5/l))*l**(5/4)*l*l**(-1/12)/l*l*l**(-1/8)*l**2 assuming l is positive. l**(337/24) Simplify ((m**(1/2))**(-22)*(m**(2/7))**47)/((m**7*(m**(3/2)*m)/m)/(m/m**(2/9)*(m/(m/(m*m/m**(1/7)*m))*m)/m)) assuming m is positive. m**(-307/126) Simplify ((j/(j*j**(-3)/j*j))/(j/(j*j**5))*(j**(-2/3)*j)**17)/(j**(-1/6)/(j/(j*(j**(-1/7)*j*j)/j*j)))**(-3) assuming j is positive. j**(787/42) Simplify (k*k**1)**50/(k**(-1))**42*(k/(k*(k*k/((k/(k/k**(-2/3))*k*k)/k))/k))**30/(k**(-1))**35 assuming k is positive. k**157 Simplify ((((p/p**(2/3))/((p*p**(2/5)/p)/p*p*p))/(p**4*p**7))**18)**23 assuming p is positive. p**(-24978/5) Simplify ((m*m/(m/m**(1/4)))**(-39))**(2/137)*((m**0*m)**(-47))**(-1/3) assuming m is positive. m**(12293/822) Simplify ((p*p*(p*(p*p*p**1*p)/p*p)/p*p)**(-4/5)/(p**(-3)*p**(2/3)))/(((p*p**1)/p)**(-12/19))**(-45) assuming p is positive. p**(-9031/285) Simplify (o*o*o**(3/7)*o*o**7)**(1/42)/((o*o/(o/(((o**(2/9)*o)/o)/o))*o*o/o**(3/5))/((o*o**5)/(o/(o*o**0/o)))) assuming o is positive. o**(15991/4410) Simplify (((z*z**(-6/7))/z*z*z**(-3/2)*(z**(9/2)/z)/(z/(z*(z*(z/((z*z**(-7/4))/z))/z)/z)))**39)**(2/13) assuming z is positive. z**(327/14) Simplify ((g**(-4)/(g**1*g))/(g**(-1/4))**4)/((g/((g**(1/4)*g)/g))**(-35))**49 assuming g is positive. g**(5125/4) Simplify ((i**(2/3))**(-4/5))**(1/2)*(i**(-2/5)*(i**(1/5)*i*i)/i)/((i**(-1/4)*i)/i)**2 assuming i is positive. i**(31/30) Simplify ((i*i/(i*i*i**(2/5)/i*i))**35/(i**(-1/2))**(-2/3))/(i**2/(i**(-13)/i))**(-3/43) assuming i is positive. i**(-1705/129) Simplify (l**(-2/7))**(-2/21)/((l*l/(l*l*l/(l**(1/9)*l)))/((l/l**(2/9))/l*l*l))*(l**(-1/3)/(l**(1/4)*l*l))/(l**(-2/3))**44 assuming l is positive. l**(5575/196) Simplify ((x**(-1))**(-2/5)/(x**4/x*(x*x**(2/7))/x))/(x**(-2/23)/x*x/x**7*x**6*x*x**(-3/2)) assuming x is positive. x**(-2091/1610) Simplify ((x**1)**28*(x*x/(x*x*x*x**(-1/3)*x)*x)**1)/((x/x**0)**(-28)/(x**3*x**(-6)/x)) assuming x is positive. x**(154/3) Simplify (v**(-35))**9/(v/(v*(v*((v/v**(5/6))/v)/v)/v)*v/(v**22/v)) assuming v is positive. v**(-1781/6) Simplify (h/(h*h**(-2/7)/h)*(h**(-3/7)*h)/h*h*h)**(-2/91)/((h*h**1)/h**(2/9)*(h/(h*h**(1/4)))**(-32)) assuming h is positive. h**(-56416/5733) Simplify ((f/(f*f*f*f**(-1/4))*f**2)/((f*f**2)/f*f**2))/(f**(-2)*f*f*(f**(2/17)/f)/f*f*f**4/f*f/f**(-6/7)) assuming f is positive. f**(-3677/476) Simplify ((((f/(((f**(-19)/f)/f)/f))/(f**(-1/35)*f*f))**(1/4))**(21/5))**(1/7) assuming f is positive. f**(552/175) Simplify (h**(-4)/h**(6/7))**(14/9)*((h*h**2)/h**(1/7))/(h/((h*h**(-2/5))/h*h)*h**(2/29)) assuming h is positive. h**(-47204/9135) Simplify (f/(f/f**0))/(f*f**(-3/4)*f)*(f**(-1)/f)**(-46)*(f/f**5*f*f/f**1)**(-3/13) assuming f is positive. f**(4755/52) Simplify (((q**(-1/3)*q)/q)**(31/2)/(q**(-20)/(q/(q**26/q))))**29 assuming q is positive. q**(-1595/6) Simplify ((((b*b**4*b)/b)/b*b*(b**4*b)/b*b**6/b**(-6))**(5/6))**(10/7) assuming b is positive. b**25 Simplify (s/((s**(2/7)*s)/s*s))**(-5/2)/(s**(-2/3)/s*s/(s*s**0))*(s/(s**5/s)*s*s*s**(-1/2))/(s**(-3)/s**(-2/3)) assuming s is positive. s**(45/14) Simplify p**(-30)*p**(-3/29)*(p**(-2/31)/p)**(-5/3) assuming p is positive. p**(-25468/899) Simplify ((n**(2/7)*n*n**(-3/2))/(n/((n**(-4)*n)/n*n)*n*n/(n**6/n)))/((n**(-3)/n*n)/n**6)**48 assuming n is positive. n**(6031/14) Simplify ((p**7/p**(1/2))/((p/p**6)/p*p*p**(-7)))/(p**(-2)/p*p**(-1/4)*p*p/p**3*p*p**(-3)) assuming p is positive. p**(99/4) Simplify (((h**(-5/2)*h)/h)/(h*(h*h/((h*h*h**4)/h))/h)*h/h**2*h**13*h)**(-2/19) assuming h is positive. h**(-27/19) Simplify ((n/n**(-3))/n)**29*(n**(-47))**(20/13) assuming n is positive. n**(191/13) Simplify ((o/o**(3/4))**(-25)/(o/((o*o/o**17*o)/o)*o**(1/11)))**24 assuming o is positive. o**(-5898/11) Simplify ((q*q/q**(9/2))/(q/(q**(2/51)*q))*q**(-2/35)/(q*q**(2/111)))**(-3/22) assuming q is positive. q**(467063/968660) Simplify (((c*c**1)/c*(c**3*c)/c*c**(1/6)/c**(4/5))**(-17))**(-12/11) assuming c is positive. c**(3434/55) Simplify (((a/a**6)/a*a**2/a)/(a/(a/a**(-1))*a)**1)/(a**0/a**(-2)*(a*a**(1/3))**(-35)) assuming a is positive. a**(119/3) Simplify ((h**(3/7)/h)**47*h**7/(h*h*h**(1/3)))**(-41) assuming h is positive. h**(19106/21) Simplify (((w/w**(-1/4)*w)/w**0)/(w**(2/3)/w*w**(4/7)))/((w*w**(2/11))/(w*(w*w/((w**(2/9)/w)/w*w))/w)*(w*w/(w**(-1)/w))**(-10/11)) assuming w is positive. w**(20081/2772) Simplify (((v/((v*v*v**(-16)/v)/v))/v)**(-5/9)/(v**(-17)/(v**(2/95)*v)))**(-2/111) assuming v is positive. v**(-15616/94905) Simplify g**27/(g*g**(-2/27))*g/(g/g**(-2/33))*g**(-2/29) assuming g is positive. g**(223460/8613) Simplify ((s/s**(8/7)*s*s**(1/8)*s*s)/(s/(s*s**(-2))*s)**(-49))**(3/31) assuming s is positive. s**(25197/1736) Simplify (((m/((m*m**(-1/6)*m*m)/m*m))/((m**1/m)/m))/(m**(1/9)/(m/(m**1*m))))/((m**(-2)*m*m*(m**(-7)*m)/m)/(m**(-1/7)*m/m**(4/5))) assuming m is positive. m**(3221/630) Simplify ((k/((k/(k/(k*(k*k**(1/9))/k)))/k))/((k/k**(-2/9))/k))**13/(((k/k**(-1/10))/(k**(-4/3)/k))/((k/(k/k**(-2/13)))/k**(-1))) assuming k is positive. k**(2371/390) Simplify (b**(-3/8)*b*b/b**(-1/2))/(b**0*b/b**(-4)*b)*(b**(-1/6)/b)/b**3*b**(-4)/(b/((b*(b*b*b**(-2)*b)/b*b)/b)) assuming b is positive. b**(-289/24) Simplify ((o*o**(-1/2)*o)**(1/17))**24*((o/(o**(2/3)*o))/((o/(o/(o/(o**(-4)*o)*o)))/o*o))/(o**4*o*o*o/(o*o*o**(4/7)/o)) assuming o is positive. o**(-3205/357) Simplify (o/o**1)**(-2/5)/(o/(o/((o**(-1/3)*o)/o)))**(-24)*(((o/(o**(1/4)*o)*o)/o)/(o/(o/((o/o**6)/o))))/(o**5*o*o**5*o*o) assuming o is positive. o**(-61/4) Simplify (l**1)**26/(((l**7/l)/l)/l**(1/9))*(l**0)**(-20)*l**3/(l/(l*l*l/l**(-7))) assuming l is positive. l**(298/9) Simplify (v
{ "pile_set_name": "DM Mathematics" }
et q = -9.9 + 9.96. What is the smallest value in 2/13, 2, q? q Let l = 17 - 16. Let z(f) = -5*f + 2. Let k be z(l). Which is the third biggest value? (a) 3/4 (b) -4 (c) k b Let o = 21119/25 + -845. Let y = o - -61/150. Let p be -1 + 1 + (-4)/6. Which is the second smallest value? (a) y (b) -0.1 (c) p b Let u be (-2)/(-10)*5/(-4). Suppose -2*y + 0*y - 3 = 3*k, 0 = 5*k + y + 12. Let s = -31 + 63/2. Which is the second biggest value? (a) s (b) u (c) k b Let l be 0/(-3)*(-4)/(-8). Suppose l + 3 = -s. Suppose 2*b = 11 - 1. What is the second biggest value in -2, s, b? -2 Let y = 1.2 - -2.8. Which is the second biggest value? (a) 3 (b) y (c) -0.1 a Let s = -0.21 - -0.41. What is the third biggest value in 0.4, s, 0? 0 Let p = 12 - 2. Let o = p - 5. Which is the third smallest value? (a) -2 (b) o (c) -1/7 b Let h = -27.2 + 23. Let r = 4 + h. Let a = 6.7 - 7. What is the second smallest value in r, a, 0.1? r Suppose -96 = 8*m - 4*m. Let y = m + 70/3. Let o = -7/27 + -2/27. Which is the smallest value? (a) o (b) 2 (c) y c Let n = 97 + -479/5. Let o = -0.6 + 0.3. Let s = 1 + -2. What is the third biggest value in o, s, n? s Let r = -19 - -16. Which is the smallest value? (a) r (b) -0.5 (c) 1/5 a Let u = -1278/13 - -98. What is the second biggest value in 1/2, -4, -1/2, u? u Let q(d) = -d**3 + 4*d**2 - 2*d + 6. Let b be q(4). Let c = 0.01 + 0.39. Let y = -6.4 + 6. What is the second biggest value in y, b, c? y Let s = -0.13 - -0.23. Let w = s + 0.4. What is the third smallest value in w, -1/8, -1/6? w Suppose -2*a + y = 3*y - 12, -15 = -5*a - 2*y. Let u = -3 + 12. Let o be u/(-3) - 54/(-21). What is the smallest value in a, -0.3, o? o Let j be (-16)/(-4)*206/6. Let p = j - 136. Which is the second biggest value? (a) 3 (b) p (c) 2/5 b Let t be (-3)/2*4/9. Let i = -0.05 - 2.95. Let x = -4 + 8. Which is the second biggest value? (a) i (b) t (c) x b Suppose 0 = 5*q + 3*b + 30, 0*q - 2*b = 3*q + 17. Let j be (-2)/12*q/1. What is the third smallest value in -2, -3, j? j Let v = -4 + 6. Suppose 9*g - 15 = 4*g. Let u(a) = -2*a + 1. Let o be u(g). What is the second biggest value in o, -4/7, v? -4/7 Let b = 17 - 9. Let r = b + -8. What is the second biggest value in r, -1/2, -4? -1/2 Let x(w) = -w**3 - 7*w**2 - 7*w - 1. Let o be x(-6). Let l = o - 9. Let k = l + 16/3. Which is the second biggest value? (a) -6/11 (b) 4 (c) k c Let u = -5.2 + 0.2. Which is the third biggest value? (a) u (b) 5 (c) 0 a Let h be -1*2 - 1/1. Let y be ((-4)/(-6))/(h/9). Suppose -s + x + 14 = -2*x, 0 = 2*s + 3*x + 8. What is the second biggest value in y, 0.4, s? 0.4 Let z be 4/(-6) + (-8)/(-6). What is the third smallest value in z, 0.1, -4? z Let c = 1103 - 1670. Let s = -1049/2 - c. Let u = s + -44. What is the third biggest value in -4, u, 2? -4 Let t be (-1 + 5)/(5 - 3). Let x be 4/(-5)*(-1)/t. What is the third biggest value in 2/3, 5, x? x Let z = -12.6 + 13. What is the second biggest value in -5, -3/7, z? -3/7 Let o = -4.98 - 0.02. Let l = o - -5.32. Let f = l + 0.08. What is the smallest value in 3, f, 2/7? 2/7 Suppose -l + 2*z = 0, 3*l - 6*z + z = 1. Which is the smallest value? (a) 0.1 (b) l (c) 4/5 a Let u be (2/(-5))/((-1)/(-10)). Let z = 153 - 155.76. Let x = z - 0.24. What is the second smallest value in 0.2, u, x? x Let y = -0.25 - 16.75. Let h = y + 16.91. Which is the biggest value? (a) h (b) 1 (c) -5 b Let u = 11 - 10.6. Which is the biggest value? (a) u (b) 3 (c) 2 b Suppose -7*s = -2*s - 15. What is the third biggest value in s, -0.4, -4, 7/2? -0.4 Let a = 0.22 + -4.22. What is the biggest value in -3, -6/7, a? -6/7 Let w be (-42)/(-10) + (4 - (1 - -7)). What is the third smallest value in 1, 0.5, -0.03, w? 0.5 Let s = 10 - 6. Let z = -139/2 - -70. Which is the second smallest value? (a) 3 (b) s (c) z a Suppose 0 = -p + 4*p. Let j be ((-4)/3 - p) + 2. Let y be (-1)/(-4) + 3/(-60). Which is the third biggest value? (a) y (b) 5 (c) j a Let z = 122021/7 - 17291. Let l = z - 140. What is the third biggest value in 3, 2/3, l? l Let v = -0.11 - 0.39. What is the third smallest value in v, -4, -1? v Let m = 487/7 - 69. Let o = m + -17/42. What is the third biggest value in o, -0.3, -2/9? -0.3 Let t = -3220/143 - -246/11. What is the biggest value in -13, t, 2? 2 Let c = 588 - 8824/15. Let v = c + -7/30. What is the smallest value in v, -1, -0.3? -1 Suppose -2*m - 22 = 5*w, -3*w - 2*w + 4*m - 16 = 0. Let n = -10/7 - -64/35. Which is the smallest value? (a) n (b) w (c) -3 b Let n = 19.7 - 20. Which is the third biggest value? (a) n (b) 1 (c) 3 a Let n(h) = -h**2 + 3*h + 2. Let k be n(3). Let m = -7 + 1. Let s = m - -3. Which is the biggest value? (a) 4 (b) s (c) k a Let y be (-9)/(-36) + 17/(-36). Which is the biggest value? (a) 0.3 (b) -0.9 (c) y a Let n = 126 + -127. What is the second smallest value in -2/13, n, 2, -4? n Suppose -2*m + 2 = -0*m. Which is the second biggest value? (a) m (b) 4 (c) 3 c Suppose -l - l + v = 0, 2*l = 5*v + 8. Which is the third biggest value? (a) 0.5 (b) l (c) 2/7 b Let x be (-8)/(-3) + 1 - 3. Suppose -4*s + 14 = 2*w, 4*s = -0*s + 8. Let j be (-2)/2 - 0 - w. What is the smallest value in 0.4, j, x? j Let c be 20/(-150) + (-52)/(-90). What is the second biggest value in 0.2, c, -4, 7? c Let r be ((-6)/9)/(16/6). Which is the third biggest value? (a) -5/6 (b) -4/3 (c) r b Let h = 0 - -2. Suppose h*r = 3*r - 8. Let l be (-7)/(-28) + (-26)/r. Which is the biggest value? (a) -1 (b) 3 (c) l b Let t(i) = 2*i - 1. Let h be t(1). Let w = h + -6. Which is the third smallest value? (a) -1 (b) w (c) 0.09 c Let u be (-4)/(-3)*(-27)/(-2). Let k be 3*(19/u - 1). Let z = 3.1 - 3. What is the second biggest value in z, k, -3/7? z Suppose -5*t = 3*f + 34, 3*f + 0*f = -9. Let g be 0/(-2) + (-2 - 0). Which is the third biggest value? (a) t (b) g (c) 5 a Let i = -25 + 33. What is the second biggest value in 4, -4, i? 4 Suppose 0 = 5*x - 2*r - 5, r = 3*x + x - 1. Let n = -6 + 10. Let y = n + -2. Which is the smallest value? (a) 5 (b) x (c) y b Let x = -0.07 - -0.06. Which is the third smallest value? (a) 2 (b) 0 (c) -2/7 (d) x b Suppose j + 2*i = 5, -j + 5*i - 2 = 21. Let t = 4.4 - -0.6. What is the smallest value in j, 3, t? j Let v = -166 + 176.7. Let s = 11 - v. Which is the third smallest value? (a) 0.2 (b) -3 (c) s c Let i = 0.05 - -4.95. Let r = -0.14 + -0.16. Which is the smallest value? (a) r (b) i (c) 2 a Let j be -2 + (38/(-1) - 2). Let i be 2/6 - (-20)/j. Let y = 0.16 + -4.16. What is the smallest value in y, -1/2, i? y Let z = 0 - -5. Let u = -1 - -0.6. What is the second biggest value in z, 1/9, u? 1/9 Let h = -3 - -2.5. Suppose -4 = 4*y - 2*p + 2, -3*y = 2*p - 13. Let f be (0 - y)*8/24. Which is the smallest value? (a) h (b) f (c) 5 a Let f = -0.1 + -0.1. Let p be -1 + (-2)/((-42)/(-7569)). Let z = -362 - p. Which is the second biggest value? (a) f (b) z (c) -0.4 c Let t be ((-6)/4)/((-2)/(-72)). Let x be 2*(t/4)/(-3). Let w be ((-6)/(-8))/(x/(-6)). Which is the smallest value? (a) w (b) -3 (c) 0.3 b Suppose -9 + 36 = 3*c. Let w be 14/(-63) + 2/c. What is the second biggest value in 0.4, w, -2/13? w Let h = -3.09 + 1.13. Let p = -4.04 - -4. Let n = h + p. Which is the second biggest value? (a) 0.2 (b) -1 (c) n b Let s = 628/2149 + -2/307. Which is the third biggest value? (a) -11 (b) -0.2 (c) s a Let f = 1593/7 + -228. Let v = 2 + -5. Let r be ((-2)/(-3))/(10/3). What is the third biggest value in r, v, f? v Let t = 0.5 - 0.1. What is the third smallest value in 5, -3/2, t? 5 Let x = -232/3 - -78. Let g = -6 + 1. Let y = -4 - -3.7. What is the smallest value in x, y, g? g Let j = -62/51 + -2/17. Let f = 8.4 - 8. Let u = -8 - -3. What is the third smallest value in f, u, j? f Let a = -17 + 17.1. What is the smallest value in 1/6, -1, a? -1 Let h = 0.043 + 0.157. What is the second smallest value in h, -1/3, 2/13? 2/13 Let g(i) = i**3 + 4*i**2 - i + 18. Let k be g(-5). What is the third smallest value in k, 0.3, -1? 0.3 Let g = 10 - 16. Let f be (g/20)/(2/(-65)). Let b = -10 + f. What is the second smallest value in 2/7, b, 1/5? 1/5 Let d = 87 + -610/7. What is the second smallest value in -2/9, d, -0.5? -2/9 Let v = 0.202 + 7.898. Let f = v -
{ "pile_set_name": "DM Mathematics" }
for p. -40 Solve j - 5*w = 4*j - 161, 531 = 5*j + 2*w + 250 for j. 57 Solve 5*t - s = 0, -3*s + 7 = 2872*t - 2894*t for t. -1 Solve -2*r = -12*r - o + 4*o - 7*o + 66, 0 = -4*r - 6*o + 22 for r. 7 Solve -b - 18795 = -2*l - 18823, 3*l - 4*b = -92 for l. -4 Solve 3*b - 13*z - 748297 = -748316, b - 2*z + 4 = 0 for b. -2 Solve -4*g = -5*n - 8, 16*g = g + 11*g + 75*n + 288 for g. -3 Solve -4*x + 2*o + 320 = 7*o + 316, -2*x - 5*o + 2 = 0 for x. 1 Solve -121*h = -4*n - 573, 10312 = -h + 10317 for n. 8 Solve 17*m + 31 = 14*m + b + 1, -5*b = 15 for m. -11 Solve -4*h + 5*v - 108 = 0, 2*h - 3 = 20*v - 124 - 3 for h. -22 Solve 2311*h = j + 2314*h - 21, 3*j - 5*h + 63 = 0 for j. -6 Solve a + c + 44 = 0, -4*a - 2232 + 1142 + 1134 = -c for a. 0 Solve 5*x + 33*m = 37*m - 35, 0 = 32*x - 29*x - m + 21 for x. -7 Solve 0 = 36*d - 540, -s + d + 248 - 259 = 0 for s. 4 Solve -2*o = -5*v + 64, -5*v + 451 = -15*o + 361 for o. -2 Solve 27*h + 233 = 33*h + 5*p, 8*p = 5*h - 0*p - 255 for h. 43 Solve -4*l - 36 = -3*m, 0 = -2*m + 400*l - 321*l + 24 for m. 12 Solve 116807*s + 5*c + 444 = 116794*s, -3*c = 9 - 0 for s. -33 Solve -2*p + 5*q - 363 - 358 = -755, 0 = -5*p + 3*q + 9 for p. -3 Solve -4801*q - 4*v = -4650*q + 441, q + 4*q + 4*v = -3 for q. -3 Solve -1045*o + 2104*o - 4*g - 16 = 1057*o, -5*o + 16 = 2*g for o. 4 Solve -4*c + 9*s = 214, 3*s - 84 = 3*c + 38 - 44 for c. -4 Solve 5*c - 877 = 51*r, 4*c + 2*r = 2*c + 6 - 14 - 22 for c. 2 Solve n + 2*f = 8, 4*n - 5*f - 7972 + 7979 = 0 for n. 2 Solve -4*o - 810 = 6*c - 792, -3*o + 3*c = 51 for o. -12 Solve 0 = -2*s - 2*s + 16, -37593 = -2*z - 5*s - 37527 for z. 23 Solve -5*p - 31 = -f, -7596*p + 6 = -7601*p - 4 for f. 21 Solve 16*d - 8*d = 3*d - m - 82, 5*d + 121 = 42*m - 90 for d. -17 Solve 14*h - 8*h - 2*z + 6 + 4 = -2*h, -26*h + z + 39 = 0 for h. 2 Solve 2258354*h - 142 = 3*a + 2258355*h, 244 = -5*a + 2*h for a. -48 Solve 0 = -9*u - 5*w - 0*w - 112 - 137, -2*u = 5*w + 67 for u. -26 Solve 2*v - 2*g - 8 = 0, -2*v + 4603*g - 9195*g = -4593*g - 9 for v. 5 Solve 3*v - 14 = 4*t, 8294*v - 8298*v - 22*t = -46 for v. 6 Solve 4*f - 165 - 33 = -s, -5*f + 318 = -34*s for f. 50 Solve 3*m + 12*b + 9 = 0, -3*m + 4*b - 6*b - 78 - 80 + 240 = 81 for m. 1 Solve 4*i = 6*w - 7*w - 78 + 79, -27*i + 36 = -3*w for w. -3 Solve -2*w + 32 = 3*h, -h - 9*w - 1 = -2 + 7 for h. 12 Solve 0 = 3*t + 2509816*a - 2509819*a - 15, -3*a - 6 = -2*t for t. 9 Solve 0 = -0*y - 3*y + 2*a - 53, -2*y - 4*a + 855 = 869 for y. -15 Solve m = 3*a + 1, 9442*a = 9442*a - 3*m + 12 for a. 1 Solve 3*b + k = -4, 13*k + 16*k + 2 = -3*b + 27*k - 2 - 4 for b. 0 Solve -5*u - 2*x = 731 - 721, 4*x + 34 = -3*u - 0*x for u. 2 Solve j = -2*r - 127154 + 127144, -19*j + 2*r = 230 for j. -12 Solve -k = r, -2*r = -13244 + 13248 for k. 2 Solve -22*k - 2*k - 5*d = -25*k - 26, 0 = -k + 3*d - 20 for k. -11 Solve 4*k + 5*p = -68, 96*p + 2 = 11*k + 94*p for k. -2 Solve 0 = 15*k + 2*v - 116 + 541, 444*k - 3*v = 441*k - 102 for k. -29 Solve y + 7*r - 17*r = -5*r - 4, 3*r = 0 for y. -4 Solve t = 2*x + 55, -x - 2*x - 23*t - 55 - 150 = 0 for x. -30 Solve 4*b + 304 = -8*g, -4*b - 1654 = -4*g - 1386 for g. -3 Solve 0 = -l + i + 2314792 - 2314814, -2*i + 10 = 0 for l. -17 Solve w - 6*a = 119, -48008*w - 97 = -48011*w + 5*a for w. -1 Solve b = -11*y + 58, -2*b + 8*b + 38 = 6*y + 3*b + 2*b + 2*b for y. 4 Solve 234 = 7*q + 5*k, 4*k + 7636 - 7484 = 5*q for q. 32 Solve 459*k - 456*k + 71*p = 583, 5*k - 5*p + 15 = 0 for k. 5 Solve -3*b + 3*r - 15 = 0, -27*b - 183*b - r + 0*r - 839 = 0 for b. -4 Solve -l + 66 = -7*l + 2*m, 5*l - 257*m + 261*m = -72 for l. -12 Solve -448*q = -897*q + 444*q + s + 12, 4*q - 109 = 15*s for q. 1 Solve 10469*j - 10474*j - 159 = -t, -4*t - 5*j - 164 = 0 for t. -1 Solve -5*p - 15638 = 5*j - 15703, -5*j - 3*p + 59 = 0 for j. 10 Solve 0 = 4*x - 5*x + 3*d - 61 + 99, -7*d - 92 = -3*x for x. 5 Solve -s + d = 2, -26*s + 21*s + 0*d - 27 = 12*d for s. -3 Solve 16*c + 3*r - 3*r + 68 = -5*r, 5*r + 6 = r - 10 for c. -3 Solve 12*s = 3*i - 48, 179*s - 355*s + 178*s = -21*i - 94 for s. -5 Solve -i + 117 = -12*y, -17*y = 7*i - 4*y - 16*y - 9 for i. -3 Solve -236 = -31*m + 9*b + 215, 0 = -4*m - 3*b + 79 for m. 16 Solve 1002*i - 3*w - 43 = 1003*i - 8, 158 = -6*i - 5*w for i. -23 Solve -91543 + 91618 = 5*t, r = -9*t + 136 for r. 1 Solve 6*a = 4*f - 78, -4*f - f = 3627*a - 3630*a - 102 for a. 1 Solve 3*i - 18 = 2*t, 10640*i - 10652*i = -3*t - 27 for i. 0 Solve 4*p = y + 231, 378*y - 395*y = -5*p + 336 for p. 57 Solve 61*v - 2*p + 228 = -0*p, 0 = -6*p - 90 + 42 for v. -4 Solve -427*g + 3*p - 48 = -433*g, -12*g + 82 = -p for g. 7 Solve -4*j = h + 10, -4246*h = -2*j - 4241*h + 94 for j. 2 Solve -4*i = 5*g - 5, i + 501 = g + 500 for i. 0 Solve 16 = 2*h + i, 0 = 3*h - 339537*i + 339536*i + 1 for h. 3 Solve 0 = -5*h + 12*t - 35, 2*h - 145*t = -287*t + 138*t + 30 for h. 5 Solve 4*s = 2*i - 14, 382*s - 734*s = -367*s + 4*i - 63 for s. -5 Solve 2*y - 2*s = -40, -864 = -7*y + 3*s - 932 for y. -2 Solve 0 = 6*y + 3*s, -859*y + 861*y + 2*s + 2 = 0 for y. 1 Solve -5*y + 4*c + 7 = -30, -5*y + 10965*c - 8 = 10976*c for y. 5 Solve 0 = -r + 5*i - 11, -242 = -2*r - 0*r + 749*i - 941 - 62 for r. -6 Solve -4*b - 14 = 137331*u - 137330*u, -3*b = 2*u + 3 for u. 6 Solve 0 = -4*y - 11*r - 381, 5*y - 32*r + 18*r - 40 = -13*r for y. 1 Solve -46 = 4*q + 2*m, 50*q + 59*m = 55*m - 638 for q. -13 Solve -5*o - 28 = 3416*d - 3419*d, 18*d + 91 = -4*o + 395 for o. 4 Solve -5*c + 466 = 20*m - 19*m - 456 + 912, 0 = 3*m for c. 2 Solve 4*m = 4*w - 28, -6*w + 3*w - 4*m - 28 = 15*w - 13*w for w. 0 Solve 0 = o - u - 3, o = -561*u + 566*u + 31 for o. -4 Solve -38 = -4*x - 225867*d + 225870*d, 4*x - 2 = -3*d for x. 5 Solve w = 3*l - 1025 + 1037, 138 = 45*w - l for w. 3 Solve -57 = 18*s - 22*s - 5*x + 83, 5*x - 350 = -11*s for s. 30 Solve d + 5 = z, -18*z - 93*z + 108*z + d + 3 = -0*d for z. -1 Solve l - 5*l - 40 = 4*l, -497*l = v - 988*l + 496*l for v. 25 Solve 0 = 9*g + 592*y - 596*y - 14, 3*g - 7 = -y for g. 2 Solve 5*z + 0*z - 3 = 2*q, -136*q - 337 = -475*q + 2*z for q. 1 Solve -3*o + 5*a = -41, -20112*o + 30 = -20110*o - 2*a + 8 for o. 7 Solve -2*i = -8*v - 310, -3*i = 26414*v - 26409*v + 181 for i. 3 Solve -p = 4198*t - 4202*t - 63, -4*t - 64 = 0 for p. -1 Solve -r - 21*y + 19*y - 7 + 2 = 0, 2*y + 249 = 4*r + 239 for r. 1 Solve 93*w + 23 + 16 = 178*w - 86*w + 41*t - 86, 8*t - 15 = 3*t for w. -2 Solve 4*i - 5 - 5 = 2*a, 7*a - 11 = 6*a + 16*i - 18*i for a. 3 Solve 0 = -4*m - 12, -3302*m = -5*b - 3300*m + 111 for b. 21 Solve 4*k + 6*x + 124 - 2 = 0, 15 - 1 = 12*k - 2*x for k. -2 Solve 7*v + 115 - 22 = -3*z + 3*v, 0 = 3*z + 5*v + 93 for z. -31 Solve s + 3*y = -2*y - 71, -3*s - 1683 = 8*y - 5*y - 1638 for s. -1 Solve -8*r + 3*x = 283 - 325, -3*r + 559*x - 557*x + 21 = 0 for r. 3 Solve 42*l + 169892*t + 2054 = 169893*t, -5*l - 2*t - 253 = 0 for l. -49 Solve -30*a + 59*a + 24 = 25*a, -2*j = -5*j - 3*a - 24 for j. -2 Solve c + 4*c + 118 = 106*h + 5, h - 2*c - 138 + 10 = 0 for h. -2 Solve t = -5, -50*t + 84*t + 62 = o - 104 for o. -4 Solve 21*o - 16*o + 3*s = 68, 3*o + o = 3*s - 113 for o. -5 Solve 1183*z - 1188*z = 3*m + 68, -76 = 5*m - z for m. -16 Solve -d = -3*d + 2*x + 6, 4*d + 186*x + 128 = 5*d + 210*x for d. 8 Solve 4*o = 14*t - 11*t + 511 - 488, -4*t = 2*o + 60 for o. -4 Solve 2*k + 5 + 3 = 2*f, 4*f = 3*k + 24*f - 38 + 4 for k. -2 Solve 0*v + 70 = 5*h - 5*v, -3*v = 3*h - 22*v + 18*v - 48 for h. 17 Solve 5 = 5*f - 4*o, -36 - 24 = f - 5*f - 8*o for f. 5 Solve -5*r = 21*s - 17*s - 17, 173*r - 168*r - s = -23 for r. -3 Solve -5*h - 3685*w - 49 = -3684*w, -42 = 2*h + 6*w for h. -9 Solve -5*f = -55, 148*n = 146*n - f + 21 for n. 5 Solve -282*x + 17 = 4*l - 283*x, 3*x + 136 = -73*l for l. -1 Solve -3*y - 27*l - 327 = 0, -100*l = -3*y - 96*l + 45 for y. -1 Solve j = 6*h + 132 - 94, -3*h + 2*j - 40 = 0 for h. -4 Solve 280105 = q + 3*h + 280119, -4*h = 3*q + 17 for q. 1 Solve 72*s + 30 = 3*p + 62*s, 2*p - s + 38 = 41 for p. 0 Solve 4*l + 2*r + 45 + 50 = 73, -r + 13 = -5*l + l for l. -4 Solve f + 1683*a - 12 = 1688*a, -3*f - 29*a = 52 for f. 2 Solve -g + 2*q - 55 + 53 = 0, 3*g - 5*g - 2*q = 6*g - 20 for g. 2 Solve 101*i - 206*i + 102*i = 12, 2*t = -i + 64 for t. 34 Solve 22 - 27 = 2*c + 6*a - 8*a + 23, 3*a = -14*c - 162 for c. -12 Solve -1178 = -78*
{ "pile_set_name": "DM Mathematics" }
Is 10229 a prime number? False Is 1218959 prime? False Is 3194 a prime number? False Is 7901 composite? False Is 96601 a composite number? False Is 76899 a composite number? True Is 126979 a composite number? True Is 17551 a prime number? True Is 37397 a composite number? False Is 4083 a prime number? False Is 7111 a composite number? True Is 67751 a composite number? False Is 2161 a prime number? True Is 105019 a composite number? False Is 12982 composite? True Is 11027 composite? False Is 32539 a prime number? False Is 2938413 a prime number? False Is 4584721 a composite number? False Is 51607 prime? True Is 102433 composite? False Is 56081 prime? True Is 142697 prime? True Is 209831 a prime number? False Is 228089 a composite number? True Is 14227 composite? True Is 311099 composite? False Is 2930789 a prime number? True Is 749491 a prime number? False Is 485311 prime? True Is 432935 composite? True Is 64319 a prime number? True Is 3611 composite? True Is 117013 a prime number? 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False Is 3076327 a prime number? True Is 71731 a composite number? True Is 237029 prime? False Is 949567 prime? True Is 37379 composite? False Is 304061 prime? False Is 4535 a composite number? True Is 31285 a composite number? True Is 182395 a prime number? False Is 121687 a composite number? False Is 15127 composite? True Is 5163 prime? False Is 289661 prime? False Is 2221 composite? False Is 550367 a composite number? True Is 13415 prime? False Is 170423 a composite number? True Is 2004029 a prime number? True Is 252427 composite? True Is 11279 composite? False Is 466787 a prime number? True Is 15913 a composite number? False Is 1059 a composite number? True Is 20639 composite? False Is 1657 composite? False Is 779 prime? False Is 7451 prime? True Is 157907 a composite number? False Is 17609 a composite number? False Is 51787 prime? True Is 314 a composite number? True Is 131267 a composite number? False Is 21911 prime? True Is 1829389 composite? False Is 977 prime? 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False Is 5939 prime? True Is 979 a composite number? True Is 92405 a composite number? True Is 2315905 a composite number? True Is 3216751 a prime number? True Is 35963 composite? False Is 22051 composite? False Is 276581 prime? True Is 110089 a composite number? True Is 57871 composite? True Is 73909 a prime number? False Is 76943 a prime number? True Is 901471 composite? False Is 911 a composite number? False Is 325867 a prime number? False Is 14051 prime? True Is 57637 a prime number? True Is 177 prime? False Is 1023133 a composite number? False Is 128813 prime? True Is 1181 a prime number? True Is 58361 composite? True Is 348911 prime? True Is 1481 a composite number? False Is 79687 a composite number? False Is 4553 a prime number? False Is 13523 composite? False Is 12171 prime? False Is 154811 a composite number? True Is 18589 a composite number? True Is 113683 a composite number? False Is 1717 a prime number? False Is 5533 prime? False Is 173623 a prime number? False Is 17903 a prime number? True Is 3314 prime? False Is 182633 composite? True Is 244837 composite? False Is 5737 a prime number? True Is 1336487 prime? True Is 1937 composite? True Is 13207 prime? False Is 31469 a prime number? True Is 3389 a prime number? True Is 6428303 a composite number? True Is 20477 a composite number? False Is 709 a prime number? True Is 40699 a prime number? True Is 1594 prime? False Is 326195 composite? True Is 16129 composite? True Is 2855 prime? False Is 139393 prime? True Is 4981 a composite number? True Is 3276453 composite? True Is 827249 prime? False Is 5907035 prime? False Is 62209 prime? False Is 53773 a prime number? True Is 253235 prime? False Is 13859 prime? True Is 8513 prime? True Is 112973 prime? False Is 1757 prime? False Is 32353 a prime number? True Is 817 a composite number? True Is 10369 prime? True Is 5469 a prime number? False Is 146191 a composite number? False Is 47983 a prime number? False Is 10167 a composite number? True Is 22667 composite? True Is 129527 a prime number? True Is 98773 a composite number? False Is 104863 a composite number? True Is 250889 composite? False Is 5447 composite? True Is 41291 prime? False Is 260399 a prime number? True Is 20647 composite? True Is 168743 composite? False Is 608873 a composite number? False Is 4867 a
{ "pile_set_name": "DM Mathematics" }
- -36. Suppose 19 + 11 = y*p. What are the prime factors of p? 5 Suppose -2*o + 4*g = -5288, -g - 1647 = -2*o + 3626. List the prime factors of o. 2, 3, 439 Suppose -20 = -5*h + 20. Suppose w = 4*r + h, 4*w - 3*w = 5*r + 8. What are the prime factors of w? 2 Let n be (-120)/(-100)*(-5)/(-3). Suppose -c + 0*u + 3*u = 109, -c - 108 = -n*u. Let q = c - -180. What are the prime factors of q? 2, 37 List the prime factors of (1619/(-6))/(74/(-444)). 1619 Let w = 17 + -9. Suppose -71 = -y + w. List the prime factors of y. 79 Let c(x) = 18*x + 5. Let o(n) = n - 1. Let u(s) = c(s) + 3*o(s). List the prime factors of u(1). 23 Let i(b) = -b**2 + b + 25. Let h be i(0). Let g = h + -25. Suppose g = -2*m - 3*m + 85. What are the prime factors of m? 17 Let w(q) = 5*q**2 - 155*q + 4. What are the prime factors of w(31)? 2 Let b be 8/10 + (-33)/(-15). Suppose -h + 2*h - 1 = 3*r, -b*r - h = -1. Let u(v) = -v**3 - v**2 + v + 27. List the prime factors of u(r). 3 Suppose 5*a = -1361 - 4669. List the prime factors of (a/9)/(-2*1). 67 Suppose 3*t + 2321 = -5*c + 10*c, -4*c + 1862 = -5*t. List the prime factors of c. 463 Suppose r + 1252 = 4*k, 5*r = 3*k + 2*k - 1580. Let z be (-2)/(-13) - (-1824)/k. Let c(j) = j**2 + 6*j + 3. What are the prime factors of c(z)? 3, 5 Suppose 40*i - 3276 = 33*i. List the prime factors of i. 2, 3, 13 Suppose 5*k + 9 = 3*n - n, -4*n = -k - 9. Let y be (-89)/(-7) - (-4)/14. Suppose -n*g + y = 1. What are the prime factors of g? 2, 3 Let t(p) be the second derivative of -p**5/20 - 5*p**4/12 + p**3/3 + p**2/2 - 2*p. Let u be t(-7). Suppose w + 4*w = u. List the prime factors of w. 17 Suppose 2*v - 2*q - 318 = -4*q, 2*q = 4. List the prime factors of v. 157 Let c(f) = 2*f**2 + 2*f + 1. Let x be c(-2). Suppose -x*y = -5*w - 255, -56 = -y - w + 3*w. List the prime factors of y/6*(-2 + 5). 23 Let q = -770 - -2499. What are the prime factors of q? 7, 13, 19 Suppose 17*n - 27*n = -2500. What are the prime factors of n? 2, 5 Let p(x) = -2*x + 7. Let l be p(5). Let z(y) = -3*y**3 - 3*y**2 + 4. What are the prime factors of z(l)? 2, 29 Let i be (-9)/(-3 - (-57)/20). Suppose -5*d = 2*o - i, 5 = -o + 10. Suppose d*y - 6*y = 64. What are the prime factors of y? 2 List the prime factors of (-15)/(-40) + 8037/8. 3, 5, 67 Suppose -94*g = -9*g - 222785. What are the prime factors of g? 2621 Let f = -397 + 887. Let g = 80 - f. List the prime factors of g/(-18) + 6/27. 23 Suppose 2*a - 4*a + 8 = 0. Suppose -a*t - 23 = -3, 2*w - 105 = -t. Suppose 12 - w = -u. What are the prime factors of u? 43 Let v(u) = 220*u**2 - 6*u - 11. What are the prime factors of v(-2)? 881 Suppose 19*g = 23*g - 20. Suppose -3*w + 4*k - 14 = -5*w, 46 = g*w - k. What are the prime factors of w? 3 Suppose -3728 = -2*z - 4*v, -z - 4*v = -2411 + 547. What are the prime factors of z? 2, 233 Let z(f) = f + 7. Let o be z(-3). Suppose 2*b - o = 3*m - 2*m, -3*m = 4*b - 18. Suppose u - 19 = 3*i, -b*u + 55 = -3*i + 4. What are the prime factors of u? 2 List the prime factors of (-1 - -15) + 0/(-1 - -4). 2, 7 What are the prime factors of 8 + 5 + (-1160)/(-4)? 3, 101 Let s(w) = w**3 + 2*w**2 - 9*w - 1. Let y be s(7). Let c = -251 + y. What are the prime factors of c? 2, 3, 7 List the prime factors of (74/2)/(5*1/35). 7, 37 Suppose 0 = 4*l + 3*g - 1957, -g + 251 = 4*l - 1716. Suppose 0 = -5*t - k + 496, t - 2*k - l = -4*t. List the prime factors of t. 3, 11 Suppose 0 = 121*g - 126*g + 285. List the prime factors of g. 3, 19 Let r(k) = -2*k**3 - 2*k**2 + k - 2. Let u be r(-2). Let d = 273 + -121. Suppose -n + 3*l = -38, -u*n + 4*l = 2*l - d. What are the prime factors of n? 2, 19 Suppose -2*n + 1664 = 4*g - 4*n, 3*g + 3*n = 1257. What are the prime factors of g? 3, 139 Suppose -2*w + 77 = 4*r - w, 4*r + 2*w - 78 = 0. Let j be 6/4 + (-3)/(-2). Suppose 3*b - r = -3*d + b, -16 = j*d - 5*b. What are the prime factors of d? 3 Let r(c) be the third derivative of c**6/120 + 3*c**5/20 + c**4/6 + 2*c**3/3 + c**2. Let f be r(-8). Suppose -4*j + 76 = -f. What are the prime factors of j? 2, 7 Let r(g) = g**3 - 6*g**2 + 8*g - 13. Let y be r(5). Suppose -p + 3*t + 95 = 5*t, -y*t + 188 = 2*p. What are the prime factors of p? 3, 31 Let c(g) = -3*g**3 + 13*g**2 - 13*g - 18. Let d(q) = q**3 - q**2 + 1. Let f be (-10)/(-4)*32/20. Let j(y) = f*d(y) + c(y). What are the prime factors of j(-10)? 2 Let x(h) = -h**3 - 10*h**2 + 12*h + 15. Let q be x(-11). Let l(n) = -n**2 + 1. Let y be l(q). Let t = 27 - y. List the prime factors of t. 2, 3, 7 Let q(p) = -p**2 + 9*p - 14. Let j be q(7). Suppose j*n - 110 = -5*n. Suppose n = 4*y - 2*y. List the prime factors of y. 11 Suppose 3*y - 7*y = 0. Let p be (4 - y)/4 + -204. List the prime factors of 2*(p/(-2))/7. 29 Let f = -263 + 554. What are the prime factors of f? 3, 97 Suppose 22 = 5*q + 2. Suppose 0*d = 4*x + 4*d + 36, q*x + 39 = -5*d. List the prime factors of (23 - -1) + x + 9. 3 Suppose 2*m + 5 = -9. Let f = 7 + m. Suppose f = -5*r + 5*q + 115, -3*q = -3*r - r + 87. What are the prime factors of r? 2, 3 What are the prime factors of 9/12 - 1637/(-4)? 2, 5, 41 Let x(h) = 29*h + 3. Let o be x(10). Suppose 37 + o = 5*z. List the prime factors of z. 2, 3, 11 Let x(l) = -l**3 + 17*l**2 + 3*l - 23. Let c be x(17). Let b = 33 - c. What are the prime factors of b? 5 Suppose 0*i - 3*i = -9. Suppose i*j - 2*j - 40 = 0. List the prime factors of j. 2, 5 Let j(l) = l**3 + l**2 - 2*l - 2. Let b be j(0). Let w be 4/12*6 - b. Suppose w*r - 67 = 125. List the prime factors of r. 2, 3 Let h(g) = -3*g - 21. Let q be h(-8). Suppose -t + q*o + 462 = t, -o = -4*t + 924. What are the prime factors of t? 3, 7, 11 Let v(s) = -3*s - 3. Let q be v(5). List the prime factors of (9/q)/(1/(-48)). 2, 3 Suppose -8*v + 3*v = 30. Let j(c) = -c**3 - 6*c**2 - 2*c + 8. Let q be j(v). What are the prime factors of 2 + 12/(-3) + q? 2, 3 Let m = -5 - -89. Let g = 142 - m. List the prime factors of g. 2, 29 Suppose 70 = 2*z - 2*o - 82, -96 = -z + 5*o. What are the prime factors of z? 71 Suppose -5*b + 5 + 23 = v, -v = -2*b + 7. Suppose 2*r + 68 = 2*c, -5*c - 2*r - v*r = -130. What are the prime factors of c? 2, 3, 5 Let s(r) = 11*r**2 + 49*r - 30. What are the prime factors of s(-18)? 2, 3, 13, 17 Let v = -34 - -19. Let g = v + 19. Suppose 5*c + l = 10, -2*c + g*c + 2*l - 4 = 0. What are the prime factors of c? 2 Suppose -2*m + w - 16 = 1, 4*m - 4*w = -28. Let p be (72/(-30))/(4/m). Suppose p*v = 3 + 45. List the prime factors of v. 2 Suppose -6*h + 21 = -423. Suppose 2*x = -4*n + 5*x + h, -3*n = 3*x - 45. List the prime factors of n. 17 Let y(l) = 52*l - 117. List the prime factors of y(20). 13, 71 Suppose 21*t - 13860 = t. Let q = 979 - t. What are the prime factors of q? 2, 11, 13 Let v(d) = -d**3 + 4*d**2 + 3*d - 3. Let w be v(2). Let r = -41 + w. What are the prime factors of r/(-4) - 1/2? 7 Let f(l) = 3*l**2. Let q be f(2). Let g(o) = -o**3 + 12*o**2 - 3*o + 1. Let a be g(q). List the prime factors of (-2)/(-5) + (-266)/a. 2 Let g(a) = 2*a**2 - 6*a - 2. Let y be g(5). Suppose -y*v = -14*v - 284. What are the prime factors of v? 71 Let x(u) = 6*u**2 + 12*u. What are the prime factors of x(-9)? 2, 3, 7 Suppose -4*w - 5*q = -1488, 2*w - 3*q - 1089 = -w. What are the prime factors of w? 367 What are the prime factors of (1082/5)/((-14)/(-70))? 2, 541 Let z(w) = 188*w + 32. What are the prime factors of z(4)? 2, 7 Let i(n) = 5*n + 3*n - n**2 - 6 - 6*n + 6*n**2. List the prime factors of i(3). 3, 5 Let b = 1097 + -1536. Let p = 626 + b. Suppose 0 = x - 6*x - 5*w + 205, w = 5*x - p. What are the prime factors of x? 2, 19 Let h(t) = 4*t**3 - t**2 - t - 2. Let k be h(-1). Let w(a) = -a**3 + 4*a**2 - 3*a + 3. Let s be w(3). Let l = s - k. List the prime factors of l. 3 Let f(j) = 211*j**2 - j - j + 3 + 2*j - 5*j. What are the prime factors of f(1)? 11, 19 Let c(o) = 3*o**2 - 4*o - 4. Let f be c(-4). Suppose 0*p + f = p. Suppose 0 = 2*a + 2*a - p. What are the prime factors of a? 3, 5 Let o(k) = 2*k - 6. Let w be o(4). Suppose t = w*t. Let v = 4 + t. What are the prime factors of v? 2 Let i(n) = -4*n - 4. Let s be i(-4). Suppose -v - s + 2 = -4*r, 5*r = -4*v + 23. Suppose r*o + 0*o - 48 = 0. List the prime factors of o. 2 Let r(g) = 49*g**2 - 7*g - 147. What are the prime factors of r(-7)? 7, 47 Let d be 3/
{ "pile_set_name": "DM Mathematics" }
Solve -3*g + 308*k - 307*k = -4, -3*g + 2*k + 8 = 0 for g. 0 Solve 2*g = -0*c - 2*c - 6, -56 = 10*g - 3*c for g. -5 Solve 2*i + 2*j - 9 = 1, -3*i + 3*j + 15 = 0 for i. 5 Solve -2*o = b + 1, 8*b - 12 = 4*b for o. -2 Solve -4*p - 12 = 2*h, -3*h - 2*h - 2*p = 22 for h. -4 Solve 4*n - 2 - 11 = 5*g, 2*g - 5*n - 5 = 0 for g. -5 Solve -2*n = 2*m + 5 + 3, 5*n = -m - 8 for m. -3 Solve l - 25 = 5*v, -5*v - 30 = 15*l - 17*l for v. -4 Solve 3*p - 17*a = -20*a + 9, -3*p = 4*a - 8 for p. 4 Solve -3*i + 0*i - 3*u + 18 = 0, 0 = 3*i - u - 2 for i. 2 Solve -4*k = 5*i + 10, 4*i + 13 = -3*k + 6 for k. -5 Solve -5*h + 40 = -3*k, k + 0*k + 20 = 3*h for h. 5 Solve 0 = -5*d + 5*t + 15, 4*d + 3*t - 2 = 3 for d. 2 Solve -3*l = 6, 12*l - 15 = -r + 17*l for r. 5 Solve 2*g - 1 = 5*l + 22, 2*l + 5*g = -15 for l. -5 Solve 3*u - 5 = -4*q - 12, q = -3*u - 13 for u. -5 Solve -2*y - 16 = 3*r, 0 = 4*r + 2*y - 3*y + 14 for r. -4 Solve 2*z - 9*u = -5*u - 10, 2*z + 3*u = 11 for z. 1 Solve -3 = -4*i + d, 3*i + 9 = 5*d - 2*d for i. 2 Solve -3*a + 2*x + 15 = 0, 5*a + x + 4 = 29 for a. 5 Solve 12*c - 11*c - 2 = b, -3*b = 3 for c. 1 Solve 2*y - 5*y = -4*v + 6, -4*v + 8 = -2*y for y. 2 Solve -4*s = m - 14, 2*s = -194*m + 196*m + 12 for s. 4 Solve -4*n + 4*f + f + 2 = 0, 0 = n + 3*f - 9 for n. 3 Solve -q = -5*f - 11, 6*f = -4*q + 4*f - 22 for q. -4 Solve 3 + 7 = 4*q - 2*u, -u = 5*q - 9 for q. 2 Solve -4*m + 8 = -g, 2*g - 6*g = m - 19 for m. 3 Solve 0 = b + 2*f - 5, 5*f - 45 = 5*b - b for b. -5 Solve 5*z - 4*a = -15 + 2, 0 = 2*z + a for z. -1 Solve 2*o + 10 = 0, -i + 5*o + 1 + 24 = 0 for i. 0 Solve 0 = l - 2*x + 7, -5*l - 25 = -l - 5*x for l. -5 Solve 12*v - 5*z = 7*v - 30, 0 = -4*v - z + 1 for v. -1 Solve 4*l - 5*t = 21, -3 = l + 3*t + 13 for l. -1 Solve 0 = -2*w - 5*h - 18 - 11, 0 = -3*w - 4*h - 26 for w. -2 Solve 5*i - b - 6 = 0, -61*b + 30 = -3*i - 66*b for i. 0 Solve -5*g = -5*r - 25, -3*g + 4 + 5 = 0 for r. -2 Solve 0 = t - 1, -5*t = 3*o - 2 + 12 for o. -5 Solve -5*i = -6*k + 2*k + 8, 0 = k + i - 2 for k. 2 Solve -3*j - 4*l = 32, 13 = -13*j + 11*j - l for j. -4 Solve 3 - 28 = -5*z, -2*v + 3*z = 11 for v. 2 Solve 3*q - 1 = j - 5, -q = -4*j + 5 for q. -1 Solve -t = 5*f - 8, 6*t - t - 4*f + 18 = 0 for t. -2 Solve 0 = -3*j - 2*o - 25, -5*j = -10*j + 5*o for j. -5 Solve 5*d + 9 = -4*n, 5*d + 3 = -4*n + 6*n for d. -1 Solve c = -3*c + 16, -8 = 4*i - 2*c for i. 0 Solve -2*m - v = -m - 5, -m + 2*v + 2 = 0 for m. 4 Solve 0 = 3*p + 5*j, 2*p + 0*p + 3*j = 0 for p. 0 Solve -x + 5*d + 15 = 8, 3*x - 3 = -3*d for x. 2 Solve 4*g - 4*x = 3*g - 15, 4*g - 2*x = -18 for g. -3 Solve v - 5*u = -24, 3*u = 8*v - 4*v + 28 for v. -4 Solve -12*t + 14*t + 5*v = -6, 4*t - 4*v = -12 for t. -3 Solve -5*m + m + o = -13, 10 = 5*m + 5*o for m. 3 Solve 4*i + 4*d = 16, 4*d - 5 = 2*i + 5 for i. 1 Solve -5*v = 2*r + 3 - 9, 5*r = -10 for v. 2 Solve -3*g + 5 = -5*o - 0, 5*o = g - 15 for g. -5 Solve -3*f - 37 = 5*c + 3, 0 = f - 3*c - 10 for f. -5 Solve 4*r = 16, -4*q + 7*q = 3*r - 24 for q. -4 Solve 2 = f + 2*a - 4*a, f + 5*a + 5 = 0 for f. 0 Solve 10 = a - 2*a + 3*n, 0 = 4*n - 12 for a. -1 Solve -2*y + 14 = -2*z, -3*y + 7*y + 2*z - 10 = 0 for y. 4 Solve -12 = -4*z - 4*v, z - v - 44 = -43 for z. 2 Solve t + t = -3*k - 5, 4*t = 4*k for k. -1 Solve f = 6*f - 3*g - 5, 25 = 5*g for f. 4 Solve -3*c + 5*s = 23, 5*c + 28 = 5*s - 7 for c. -6 Solve -2*j = -10*y + 7*y + 9, 4*j = 4*y - 12 for j. 0 Solve 2*n + 3*c + 4 = 0, 30*c = 34*c + 8 for n. 1 Solve 2*u + 20 = 4*z, 3*z = -0*u - 4*u + 15 for z. 5 Solve 3*r - 2 = 2*s, 10*s - 8 = 14*s - 4*r for s. -4 Solve -u = -2*o + 1, 3*u = -204*o + 200*o - 3 for o. 0 Solve -2*c - 3*s = 9 - 20, -3*s + 10 = c for c. 1 Solve 40*j + 7 = -y + 44*j, -3*y + 3*j - 3 = 0 for y. 1 Solve 0 = 3*f - a + 4, 7*f - 13 = 8*f + 2*a for f. -3 Solve -4*t - 4*d = -12, 5*t - 12 - 3 = -3*d for t. 3 Solve -3*m - 12 = -3*y, 2*y + 0*m = -m - 7 for y. -1 Solve -14 = 3*i + 5*p, -1 = 5*i - 4*p + 10 for i. -3 Solve -2*z - 2*z + 7 = -f, 2*z - 21 = -3*f for z. 3 Solve 5*l + 3*d + 13 = 0, 0 = 5*l - 3*l + 5*d - 10 for l. -5 Solve -f = -163*p + 159*p - 4, 2*p - 12 = -3*f for f. 4 Solve 4*y + 24 = -4*u, 0*u - 14 = 5*u - 3*y for u. -4 Solve -2*z - 2*a + 10 = -0*z, -5 = -3*z - a for z. 0 Solve -2*o - h = 5, -5*o - 11 = 4*h - 3*h for o. -2 Solve 17*u - 14*u - 14 = 5*y, 3*u + 3*y - 6 = 0 for u. 3 Solve -2*c + 19 = -5*s, 172*s - 17 = -c + 176*s for c. -3 Solve -9*v + 3 = -10*v, -2 = 2*k + 2*v for k. 2 Solve 4*y - 5 = -3*k + 12, y = 2 for k. 3 Solve 3*i + 156 = -2*y + 134, -5*i = -5*y + 20 for y. -2 Solve 0 = -4*l + 6*g - 3*g - 14, -4*l - 2*g = 4 for l. -2 Solve 0 = -b - 2*k - 9, 0 = -2*b + 4*b + 5*k + 20 for b. -5 Solve -4*x = 5*v + 16, 5*x = 45*v - 41*v - 20 for x. -4 Solve -4*l = 3*x - 12, 2*l + 109 = 5*x + 89 for l. 0 Solve 3*v + 3 = 0, 0 = -i - 4*i + 2*v - 8 for i. -2 Solve -2 = 2*x + 5*a, -3*x = -9*a + 13*a - 4 for x. 4 Solve 3*t - 2*t - 2*s = 0, 0 = -4*t - 3*s - 11 for t. -2 Solve 16 = 3*w + 4*k + 4, w + 5*k = 4 for w. 4 Solve -3*j = 5*y + 7, j + 0*y = 2*y + 5 for j. 1 Solve -2*g + g - 9 = -4*y, 0 = -g - 1 for y. 2 Solve 4*h - 29 = f + 2*f, -2*f - 2*h + 4 = 0 for f. -3 Solve 0 = -3*a + 2*f - 12*f + 3, 0 = 4*a + f - 4 for a. 1 Solve 4*g + g = -d - 26, 0 = 3*d - g - 2 for d. -1 Solve -o - 5*l + 18 = 3, -l - 1 = o for o. -5 Solve -4*w + 24 = 44, 5*y + 25 = -w for y. -4 Solve 0 = 5*t - q - 23, -8 = -5*t - 4*q - 0*q for t. 4 Solve 4*z + h - 20 = 0, 3*h - 15 = -3*z + 6*h for z. 5 Solve -5*y = -0*y + 3*n + 30, -3*n = y + 18 for y. -3 Solve -2*x - 3*x = -2*s - 30, -3*x = 3*s + 3 for s. -5 Solve 5*v + 76 = -2*t + 68, -4*v - 3*t - 5 = 0 for v. -2 Solve 0 = -5*c + 3*i - 3, -3*c + 0*i + 4 = 4*i for c. 0 Solve 0 = 3*t + 5*a - 14, -5*t + 5*a + 11 = a for t. 3 Solve 3*g - 20*n + 19*n = 12, 0 = -3*g - n for g. 2 Solve 4*i = 3*i - 5, 0 = -3*z - 3*i - 3 for z. 4 Solve -3*s - 2*s - 5 = -y, 3*s + 4*y = 20 for s. 0 Solve -5*a = 5*j + 1 - 36, 0 = -4*j + 12 for a. 4 Solve 6*w - 2*w = 4*d + 12, 4*w = 3*d + 8 for w. -1 Solve m = 4*t + 5*m - 8, -8 = 4*m for t. 4 Solve 0 = 2*c - y + 3*y, 8 = -4*y for c. 2 Solve p + 13 = 3*o - 3, -4*p = 2*o + 8 for o. 4 Solve -9*x = -3*q - 14*x + 12, 2*q + 4*x - 8 = 0 for q. 4 Solve 0 = 3*l + 2*c, -17 = l - 3*c - 6 for l. -2 Solve c = -2*v - 11, -4*c + v - 20 = 3*v for c. -3 Solve 3*h - 2*b = 4, 5*b + 0*b - 16 = h for h. 4 Solve 5*c + 8*a - 10*a = 0, 0 = -3*a for c. 0 Solve -4*g - y - 13 = 0, g = -32*y + 34*y - 10 for g. -4 Solve 0 = -s, -2*s + s = -4*q - 16 for q. -4 Solve -7*y + 5*z + 30 = -2*y, 5*y + 5*z = -20 for y. 1 Solve -4*s + 7*s + 10 = -2*u, 0 = 4*s - 4*u for s. -2 Solve -3*i + 0*i = 3*l - 9, -5*l = 3*i - 19 for l. 5 Solve 2*f - 3 = -4*p + 3*f, -5*p + f + 4 = 0 for p. 1 Solve 5 = -5*g + 5*h, -3*g - 8 = -0*h + 2*h for g. -2 Solve 3*b = -0 + 15, -2*s = 5*b - 33 for s. 4 Solve 3*m - 5*q = 3 - 18, -2*m - 10 = -4*q for m. -5 Solve -9 = -4*g + 78*r - 73*r, 5*g = -5*r for g. 1 Solve -2*w - 10 = 172*q - 176*q, 1 = 4*q + w for q. 1 Solve -4*i = -4*j - 40, i = -4*i - 5*j for i. 5 Solve -4*i + o + 18 = -4*o, 0 = 3*o + 6 for i. 2 Solve -4*a + 18 = -4*b + 6*b, 0 = 4*b - 5*a - 10 for b. 5 Solve 3*k - 3*l + 33 = 0, 0 = -15*k + 11*k - 2*l - 20 for k. -7 Solve 2*c + 5*r = -0 - 9, 0 = -c - 3*r - 5 for c. -2 Solve -2 = 2*f - 2*r, -5*r = 4*f - 0*r - 41 for f. 4 Solve -g + 10 = 3*w, -2*g - 1 = w + 4 for w. 5 Solve -10 = -4*u + s, -3*u + 5 = -s - 2 for u. 3 Solve -3*h - 6 = -n - 4, 0 = 4*h + 8 for n. -4 Solve 2*p = 4*r + 22, 9*p - 3 = -4*r + 6*p for r. -3 Solve z - 4*r = -16, -5*z + 2*r + 6 + 4 = 0 for z. 4 Solve 0 = 3*b + 2*j - 13, 0 = 2*b - 3*b + 5*j + 10 for b. 5 Solve 19 = -4*p + 3*z + 30, -p = -4*z - 19 for p. -1 Solve -4*o - 21 + 4 = -5*a, -5*o = -5*a + 20 for o. -3 Solve d + 3*d + 16 = -8*p, -10 = 5*p - d for p. -2 Solve -4*l + 18 = -3*o, 5*l + o - 13 = -0*l for l. 3 Solve 2*u + 10 = -3*n, -2*n + 6*n + 3*u + 15 = 0 for n. 0 Solve -3*t - 4*f + f = 15, 3*f - 1 = t for t. -4 Solve 3*l + 0*l - 4*p = -2, 3*l - 4 = p for l. 2 Solve 2*m + 36 = 6*m - 4*v, -5*m - 4*v + 9 = 0 for m. 5 Solve 0 = -2*i + c - 11, 5*i - c = -6 - 14 for i. -3 Solve g - 2*r = 6, -21*g - 5*r = -18*g + 4 for g. 2 Solve 4*a - 28 = 5*i, -4*a + a = -5*i - 26 for i. -4 Solve 0 = -5*c - j, -3*j = 11*c - 14*c for c. 0 Solve 17 = 5*c - 3*j, -4*c = 4*j - 68 + 48 for c.
{ "pile_set_name": "DM Mathematics" }
e in 0.14, 5, -5? -5 What is the fourth biggest value in -1/7, 2, 0.4, -30? -30 What is the second biggest value in 2/21, 2/7, -1/3, -1.96? 2/21 Which is the third biggest value? (a) -3/8 (b) -37 (c) -0.3 (d) -4 d What is the fifth biggest value in 1, -5, -7, 2, -4? -7 What is the smallest value in -0.1, 1, 0.86, -2/5, 5? -2/5 Which is the biggest value? (a) -1 (b) -0.09 (c) -0.04 c Which is the smallest value? (a) -4/7 (b) 4/9 (c) -28 c What is the third smallest value in -27/2, -8, -5? -5 What is the second smallest value in 2, 0.047, -1.7? 0.047 What is the second biggest value in 1, 9, 2.3, 4? 4 What is the biggest value in -5, 0.8, 37, 5? 37 Which is the third biggest value? (a) 8 (b) 5 (c) 1 c Which is the second biggest value? (a) 3 (b) 5 (c) 63 (d) -1/8 b Which is the biggest value? (a) -4 (b) 0.02 (c) 73 c What is the third smallest value in -3/8, -4, 0.4, -62? -3/8 Which is the fourth smallest value? (a) -0.3 (b) 2/5 (c) -1/5 (d) -1.8 b What is the second biggest value in 5, -9, -215? -9 What is the biggest value in 0.4, -0.1, 5/6, 19? 19 Which is the third biggest value? (a) 81/5 (b) 4 (c) -2/13 c Which is the biggest value? (a) 6 (b) 1 (c) 0.036 (d) 2 (e) 4 a Which is the fifth biggest value? (a) -5 (b) 0.046 (c) 1/8 (d) 3/5 (e) -0.04 a Which is the fourth smallest value? (a) -0.1 (b) -0.6 (c) 0.3 (d) 5 d Which is the second biggest value? (a) -2/3 (b) 17 (c) -3 (d) -0.1 d What is the third biggest value in 5, 2.3, -3? -3 What is the third biggest value in 0.05, -1/8, -6/17, 0.04? -1/8 What is the third biggest value in 24, 2, 5? 2 What is the second smallest value in 4, 1/3, 11.3? 4 Which is the third biggest value? (a) -1/10 (b) 5 (c) -4 (d) -3.4 d Which is the smallest value? (a) 2 (b) -11 (c) -5 b What is the third smallest value in 0.07, 2/3, 3? 3 What is the fifth biggest value in 0.4, -2/5, -1/4, 7, -2/3? -2/3 What is the fourth smallest value in -2/37, -5, 0, 6, -1/5? 0 What is the third smallest value in -830, 2, -1? 2 Which is the biggest value? (a) -0.3 (b) 4 (c) 0.1 b What is the fourth biggest value in -15, 1, -2.1, 2? -15 What is the smallest value in -115, -4, 4, 2? -115 Which is the biggest value? (a) 574 (b) 0.1 (c) 0 a Which is the fourth biggest value? (a) 11/9 (b) 2/19 (c) 4 (d) -5 d Which is the fourth smallest value? (a) 0 (b) 1/5 (c) 40 (d) -5 c Which is the second smallest value? (a) 0.06 (b) 2/99 (c) -0.4 b Which is the smallest value? (a) 0.2 (b) 11 (c) 0.58 a Which is the third smallest value? (a) -1/3 (b) -0.2 (c) 3 (d) 0.0359 d Which is the biggest value? (a) -2 (b) -197 (c) 0.17 c Which is the smallest value? (a) 0.168 (b) 2/7 (c) 0 c Which is the second biggest value? (a) -3/19 (b) 0.5 (c) 2/25 (d) -0.01 c What is the second biggest value in 4, 0.7, 37? 4 Which is the biggest value? (a) 3 (b) 2 (c) 635 (d) 3/4 (e) 1/6 c What is the second biggest value in 0.1, 1/4, -0.12, -5? 0.1 What is the third biggest value in 103, -3, -2, 0.02? -2 Which is the third biggest value? (a) -2 (b) 2 (c) 512 a What is the smallest value in -0.4, 1/4, 3/4, -0.2? -0.4 What is the second biggest value in 1/211, -1/3, -1/6, 1/24? 1/211 What is the smallest value in 44, -0.5, -2/17? -0.5 What is the second smallest value in 5, -1/16, -0.5, 7, -0.02? -1/16 Which is the second biggest value? (a) 12 (b) 0 (c) 2 (d) 0.5 c What is the third biggest value in 132, 2/13, -2, -3? -2 Which is the fourth smallest value? (a) 5 (b) -25 (c) -0.3 (d) 0.19 a What is the fourth smallest value in 0.3, -4, 2.9, -0.2? 2.9 What is the second biggest value in -3/5, -2, 9/10, -3/4? -3/5 Which is the fourth smallest value? (a) 11 (b) 1 (c) -1 (d) 3/4 a Which is the third biggest value? (a) -0.05 (b) 2/89 (c) -1 c What is the second smallest value in 0.5, -0.4, -3, -48? -3 Which is the third biggest value? (a) 0.5 (b) -3/5 (c) 4 b What is the third biggest value in 2.5, -0.1, 2/7? -0.1 What is the second biggest value in 0, -2, 6, 4/3? 4/3 What is the biggest value in -0.1, 2, 4/3, -55? 2 Which is the third smallest value? (a) 0.15 (b) -0.5 (c) -8 a Which is the third biggest value? (a) 0.2 (b) -3/4 (c) 4/5 (d) 2/5 a What is the third biggest value in -8, 4, 2, 5/7, 0.1? 5/7 Which is the third biggest value? (a) 36 (b) 4 (c) -4 (d) 0.2 (e) -12 d Which is the biggest value? (a) -3 (b) 52 (c) -9.5 b What is the second biggest value in 62, 3, 2? 3 What is the third smallest value in 0, -3, 0.3, 0.2? 0.2 Which is the fourth biggest value? (a) -14.6 (b) 1 (c) -2 (d) -5 a Which is the biggest value? (a) -1/5 (b) 4 (c) 0.2 (d) -0.3 (e) -2/5 b What is the fourth biggest value in 0.1, -0.04, -10, 1/7, -4? -4 Which is the third biggest value? (a) 4 (b) 1/3 (c) -53/6 c Which is the fourth biggest value? (a) -1/6 (b) -2 (c) 1 (d) -6 d Which is the third smallest value? (a) -18 (b) -0.041 (c) 0.4 c Which is the smallest value? (a) 1 (b) 3/8 (c) 23 (d) -0.3 d Which is the third smallest value? (a) 2/13 (b) -0.009 (c) 3/2 c Which is the second biggest value? (a) -0.21 (b) 14 (c) -0.5 a Which is the third biggest value? (a) -51 (b) -3 (c) -0.09 a Which is the third smallest value? (a) 0 (b) 3 (c) -0.1 (d) 1/8 (e) 3/2 d Which is the biggest value? (a) -5 (b) 116 (c) -20 b Which is the second smallest value? (a) 2/129 (b) 4 (c) 0.4 c Which is the smallest value? (a) -3 (b) -0.2 (c) 6 (d) -2/3 (e) -4/3 a What is the smallest value in 0.9, -4, -5/6? -4 What is the third smallest value in 0.1, 4.53, -1/4? 4.53 Which is the biggest value? (a) 1/8 (b) 1 (c) 5 (d) 3 (e) -10 c Which is the third biggest value? (a) -3 (b) -8/5 (c) -73 c Which is the third biggest value? (a) -4 (b) -209 (c) -0.4 (d) 3/7 a Which is the smallest value? (a) -1 (b) -141.1 (c) -0.2 (d) 0.5 b What is the second smallest value in -0.07, -0.1, 2, 5/2, -12? -0.1 Which is the biggest value? (a) 0.4 (b) 0.035 (c) 3 (d) 5 d What is the third smallest value in -2, -2/3, 3, 0.4? 0.4 What is the biggest value in -36, 2, -0.01? 2 What is the fourth biggest value in 5, -0.5, -4/3, -6? -6 What is the second smallest value in 5, 4, 617? 5 What is the fourth smallest value in 2, -1, 5, 1, -10/9? 2 Which is the smallest value? (a) 0.5 (b) -5 (c) 1/15 (d) 3 (e) 2/5 b Which is the second biggest value? (a) -0.5 (b) -1 (c) -1/3 (d) 78 c Which is the biggest value? (a) -0.1 (b) -0.2 (c) -1/3 (d) 3 d Which is the fifth biggest value? (a) 1 (b) -3 (c) 2 (d) 0.1 (e) 78 b Which is the smallest value? (a) -1 (b) 6/109 (c) 10 a Which is the fourth smallest value? (a) 4/13 (b) 1 (c) -2 (d) 5 d What is the third smallest value in 2, -15, 3, 2/29? 2 Which is the fourth biggest value? (a) -3/7 (b) 128.5 (c) -0.5 (d) -5 d What is the biggest value in 8, -5, -1/2? 8 What is the second smallest value in -5, 0, 896? 0 What is the biggest value in 1, 2/3, -52? 1 What is the second smallest value in -6, -5, 3/5, -3, -0.2? -5 Which is the fourth smallest value? (a) -1/76 (b) 0.4 (c) -59 (d) 2 d What is the biggest value in 2/3, 19, 24/5? 19 What is the fourth biggest value in 5, -0.5, -0.4, -9/7? -9/7 Which is the smallest value? (a) -5/6 (b) 2 (c) -2 (d) 3 c What is the smallest value in 1/3, -3, -0.5, 0, -2/5? -3 What is the second smallest value in 3/5, -0.2, 0.3? 0.3 What is the smallest value in -6, 538, -3? -6 What is the fourth smallest value in -2, 1/5, -32, -3, -0.11? -0.11 Which is the third biggest value? (a) 1 (b) -124 (c) 5/4 b Which is the third smallest value? (a) -4 (b) -1/4 (c) -0.03 (d) -7 (e) -6 a What is the fourth biggest value in 19, 4, 0.2, 2/7? 0.2 What is the fifth smallest value in 5, -12, 0, 0.1, -4? 5 Which is the smallest value? (a) 3 (b) 0.9 (c) 0.7 c What is the second biggest value in 2, 8, 76? 8 What is the second biggest value in 2/9, -2, -0.008? -0.008 Which is the smallest value? (a) -1856 (b) -3 (c) -5 a What is the biggest value in 1/7, 1, 2/41? 1 What is the third smallest value in 10/13, 0.4, 0? 10/13 Which is the second smallest value? (a) 2/5 (b) -11 (c) 0.1 c What is the second biggest value in 0.3, 0.19, -2/5, 1/5? 1/5 Which is the second bi
{ "pile_set_name": "DM Mathematics" }
+ 4/913. Let a = j - 11/7. What is the closest to 2/3 in -1/3, a, 1? 1 Let g be ((-9)/(-3))/(2 - 1). Suppose 0 = -5*y + g*y. Suppose 12 = -2*b + s, 0*b - 5*s = b + 17. What is the closest to y in -4, b, 0.4? 0.4 Let z be (1 - (-5 + (-125)/(-20)))/1. What is the closest to -0.2 in -2, z, 1/4? z Let c be (20/(-35))/((-2)/(-7)) - (-60)/25. Let w = -25 - -76/3. Let p be (-1)/(-4) + (-19)/(-4). What is the nearest to c in w, p, 2/21? w Let f = -64.5 - -65. Which is the nearest to -1? (a) -0.1 (b) -7 (c) -3 (d) f a Let z = -1 + 6. Let f be (-64)/(-4) + -9 - (-18)/(-2). Let i = 0.3 - 0.4. Which is the nearest to 0.3? (a) f (b) z (c) i c Let h = -7 + 4. Let k = 34720/9 + -3858. Which is the nearest to 0? (a) 5 (b) k (c) h b Let r = 2.7 - 3.7. Let y = 3 - 0. Suppose -i = y*i + 3*a - 1, -5*i + 5*a = -10. What is the closest to i in 3/2, -2/5, r? 3/2 Let v = -0.276 + -0.724. Suppose 6*p + 3 = 3*p. What is the nearest to p in v, -2/17, -0.03? v Let r(s) = -7*s**2 - s - 4. Let t be r(-4). Let v = t - -1009/9. What is the closest to -1 in 3, -0.08, v? -0.08 Let q = -120 - -109. Let z = -6.4 - -6. Which is the closest to q? (a) -2 (b) z (c) 0.3 a Let s = 25.8 - 23.8. Let d = 0.2 - -0.8. Let w = 0 - d. Which is the nearest to -2? (a) w (b) 0.1 (c) s a Let m = 0.06 + -0.06. Let t = 21 - 20. Let s = t + -6. Which is the closest to 0? (a) s (b) 5/4 (c) m c Let i = 14.76 + -14.86. Which is the nearest to -0.2? (a) i (b) 0 (c) 3 (d) 2 a Let j = -858 + 858. Which is the closest to -0.05? (a) -3 (b) 0.03 (c) j c Let i = 0.1 + 1.9. Let l be (-8)/30*(-2)/(-8) - (-2)/(-6). Which is the closest to i? (a) l (b) 4 (c) -0.02 b Let o = -172 - -176. What is the closest to 2/5 in o, -5, 2/7? 2/7 Let z = -234 + 235. What is the closest to z in -4, 1/2, 0.05? 1/2 Let k = 703.353 + -708.3. Let g = k - 0.053. What is the closest to -0.1 in 2/23, g, 0? 0 Let q be 0 + (-32)/(-12) - (-6)/(-2). Let w be (-245)/77 + 2/11. Which is the nearest to q? (a) w (b) 3 (c) -0.2 c Let l = -6 + 0. Let u = 80.5 + -82.5. Which is the nearest to l? (a) -1/2 (b) u (c) 0.4 b Let s = 26 + -22. Let o = 16 + -15. Let r = s - o. What is the closest to -3 in 0.2, 1/4, r? 0.2 Let s = -0.202 + 0.102. Let w be (-1 - 24/(-21))*-6. What is the nearest to 3 in w, s, 5? 5 Let y = 3.3 + -3. Let l(p) = p**2 + p - 1. Let d(b) = b**3 + b**2 - b + 6. Let g(o) = -d(o) + 5*l(o). Let a be g(5). What is the nearest to a in 5/4, y, -4? -4 Let x be 12/(-63) + (32/28)/(-8). What is the closest to 0 in -0.2, x, 1/7? 1/7 Let k = 7.96 + -8. Let f = k + 0.54. Let m = -1035 - -1034.8. What is the nearest to -2/3 in f, m, 0.3? m Let h = 0 + -30. Let d = -33 - h. Which is the closest to -2? (a) 1 (b) d (c) 0.4 b Suppose 3*v = -d + 8, -7 = -2*v + 1. Let o be (-1)/d + (-1)/4. Let z(p) = 5*p**2 + 4*p + 4. Let w be z(-1). Which is the closest to o? (a) w (b) -2 (c) 1 c Suppose 3*o = 9 - 6. Let h = 0.04 - -0.96. Let i = h + -0.91. What is the nearest to -2/7 in i, 3/7, o? i Let h = 2.1 + -4.5. Let x = -2.7 - h. Which is the nearest to 0? (a) x (b) 4 (c) -5 a Let o = 19 + -18. Let v = o + -0.8. What is the closest to -2/13 in v, -5, 2? v Let y = 569 + -564. Which is the nearest to -0.03? (a) 1 (b) 0.5 (c) y b Let p(n) = 2*n**2 - 10*n - 16. Let w be p(6). Let d be (-5)/(75/w) + 3/9. What is the closest to -1 in 5, d, 1/4? 1/4 Suppose -3*x + 5 - 8 = 0. Let v be x/2*(-3)/(-6). Let a = -4 - 0. What is the closest to a in v, -0.2, 0.4? v Let x = 2423.5 - 2424. What is the nearest to 1 in -5, 0.05, x, 0.1? 0.1 Suppose 4*m = -6*m + 10. Which is the closest to m? (a) 1/2 (b) 0.1 (c) 0.6 c Let s = -2 - 0. Let a be ((-188)/141)/(56/(-12)). Let k = 0.3 - 0.4. What is the nearest to k in a, -0.2, s? -0.2 Let i = 0.034 + -0.144. Let v = 0.08 + 0.02. Which is the closest to i? (a) 0.5 (b) 1 (c) v c Let d be 6 + (48/15)/(-8) - 5. Let x(i) = 2*i - 3. Let r be x(4). What is the closest to 2/9 in r, d, 0.4? 0.4 Let l = 49 + -49.044. Let g = -1.044 - l. What is the nearest to -2/9 in g, -0.5, 3? -0.5 Let h = 0.2 + 0.3. Let s = 9031/36 - 2260/9. Which is the nearest to s? (a) -6 (b) 0 (c) h b Let f be ((-28)/(-16))/(-7) + 45/84. What is the closest to -0.6 in 2.3, 0, f? 0 Let t = -17243/13 + 1327. Let r = 62/143 - t. Which is the closest to 0? (a) 2/3 (b) r (c) 0.5 b Let l = 0 + -0.1. Let y = 1 + 56. Let k = y - 56.7. Which is the nearest to -1/2? (a) k (b) l (c) -2/11 c Let m = 195 - 135. Let b = m + -64. What is the nearest to 28/9 in b, 0.3, 0.2? 0.3 Let m = -277.2 - -277. Let h = -2.01 - -0.01. Let q = 3 + h. What is the nearest to 1 in m, 3/2, q? q Let t be (-1)/(-2) + (-54)/36. Let c be t/(-7*7/(-196)). Let y = 0.4 - 1. What is the nearest to y in -0.5, c, -0.1? -0.5 Let f = 1.1 - 1.3. Let v be (7/(-21))/(2/(-36)). Let g = v - 4. Which is the closest to 1/4? (a) g (b) f (c) -0.4 b Let x be (-16)/(-10)*(-7)/28. Which is the nearest to 7? (a) 0.4 (b) 0 (c) 5 (d) x c Let x = 45 + -45.045. Let v = x - -0.045. Which is the nearest to v? (a) -14 (b) -0.2 (c) 2/13 c Let f = -708.53 - -677. Let r = 0.47 - f. Let l = 37 - r. Which is the nearest to -1? (a) l (b) 3 (c) 9 b Let o = -41/4 + 213/20. Let w = -384/5 + 77. What is the closest to o in 5, 1/2, w? 1/2 Let o = -20 + 14. Let w be (-3)/((135/o)/3). Let s be (1/(-3))/((-10)/12). Which is the nearest to s? (a) -4 (b) -5 (c) w c Let i = -0.77 - 9.83. Let u = i - -10.66. What is the closest to 0 in u, -5, -3? u Let k = 463 - 462.71. What is the closest to 2/7 in -5, 1/2, k? k Let x = 221 + -224. Which is the closest to 0.4? (a) x (b) 0 (c) -1/3 (d) -2/3 b Let n = 7 - 12. Let o = -14 - -7.84. Let i = 0.16 + o. What is the nearest to i in -0.4, -0.5, n? n Suppose 3*n - 2*n - 5*j - 5 = 0, 3*n - 2*j - 41 = 0. Suppose 5*v + 2*i = -i - n, 4*i = 0. Which is the nearest to 1/3? (a) -0.3 (b) 5/2 (c) v a Let z = 0.242 + -0.342. What is the nearest to -0.01 in -0.3, -0.5, 3, z? z Let x = -44 - -45. Let o = -3.06 + 0.06. What is the nearest to x in o, 3/4, 0.2? 3/4 Let r = 321 - 321.3. Which is the closest to 0.1? (a) -2/11 (b) -4/3 (c) r a Let p = -214.3 - -214.1. Which is the closest to 0? (a) 24/11 (b) 1/11 (c) p b Let f = 71 + -50. Let r = -25 + f. What is the closest to -2/63 in r, 0.2, 5? 0.2 Let h = -1094 + 1089. Which is the closest to -2/9? (a) 3/5 (b) h (c) -0.3 (d) -1 c Let h = -84 - -143. Let q = -58.8 + h. What is the nearest to -1/4 in 2/5, q, -5? q Let j(z) = z**3 + 13*z**2 + 13*z + 11. Suppose 15 = -3*n, -2*x + n - 9 = -2*n. Let l be j(x). Let d = -0.1 + 1.1. What is the closest to 1 in l, 0.2, d? d Let d = -11 + 27. Let i = 19 - d. What is the closest to -2/5 in -1/7, i, 5? -1/7 Let i = 0.241 - -1.759. What is the closest to -1 in 19, -0.04, -1, i? -1 Let o = 0.0275 - 0.0075. What is the nearest to 2/5 in o, 2/19, 0? 2/19 Let u = 0.1352 - -0.3648. What is the closest to 2 in u, -4, -0.01? u Let r = -0.044 - 0.056. Let j = 3.96 - -0.04. Which is the nearest to r? (a) j (b) 1/5 (c) -1/5 c Let r be 1/((3 - 8) + 0). Which is the closest to 2/7? (a) -0.5 (b) 53 (c) -3 (d) r d Let i = 228 + -226. Which is the nearest to -1? (a) 0.1 (b) 10 (c) i a Let g be 6/(-12)*((-6 - -2) + 2). Let j be ((-28)/(-12))/(-7) + g. Let h = 0.9 - 0.6. What is the nearest to j in h, -0.2, -1? h Let s = -24.1 + 25.1. Which is the nearest to s? (a) 3/14 (b) -1/11 (c) 2/11 a Let f = 2210/7 - 316. What is the closest to 0.1 in 0.03, 0.4, f? 0.03 Suppose 24 - 18 = m. Suppose 0 = 8*f - m*f - 6. Suppose -1 = -4*s + 5*k, 0*k + 9 = f*k. What is the closest to 1/2 in 0.5, s, 1/3? 0.5 Let k = 0.3 + -0.4. Suppose 4*r - 86 = -5*x, 0 = 2*x - 6*r + r - 41. Let s = 13 - x. What is the closest to k in 5, 1/3, s? 1/3 Suppose 2*k - 14 = 2*u, 3*u + 5*k + 19 = 6. What is the nearest to 3 in u, -0.4, 4? 4 Let p = 1.98 + 0.02. Let k = -1644 + 3227/2. Let v = -32 - k. What is the nearest to 0 in 9, v, p? v Let o = 4.5 - -1. Let z = o + -0.5. Let l = -234 + 233.6. Which is the nearest to -0.1? (a) z (b) l (c) 0.3 b Suppose 5*y = 72 + 28. Suppose 0 = 4*k + y, -2*k + 4*k + 16 = i. Suppose i = -3*d + 3. Which is the closest to 0? (a) 4 (b) 2 (c) d c Let j = 0.1263 - 0.5263. Which is the closest to 1/4? (a) -2 (b) j (c) 5/7 c Let t = 0.085
{ "pile_set_name": "DM Mathematics" }
hen 14532 is divided by 7266? 0 Calculate the remainder when 6472827 is divided by 78. 75 Calculate the remainder when 16359 is divided by 8179. 1 What is the remainder when 106721 is divided by 34? 29 Calculate the remainder when 20151 is divided by 1582. 1167 What is the remainder when 13436 is divided by 78? 20 Calculate the remainder when 5080 is divided by 3529. 1551 Calculate the remainder when 3382 is divided by 136. 118 Calculate the remainder when 1106 is divided by 118. 44 Calculate the remainder when 29827 is divided by 128. 3 Calculate the remainder when 61022 is divided by 97. 9 Calculate the remainder when 749935 is divided by 287. 4 Calculate the remainder when 9349245 is divided by 1237. 1236 What is the remainder when 2137 is divided by 107? 104 Calculate the remainder when 1425 is divided by 559. 307 What is the remainder when 7626 is divided by 750? 126 Calculate the remainder when 1499 is divided by 387. 338 What is the remainder when 14602 is divided by 2917? 17 What is the remainder when 233092 is divided by 25897? 19 Calculate the remainder when 241 is divided by 121. 120 What is the remainder when 27698 is divided by 272? 226 Calculate the remainder when 10758 is divided by 487. 44 Calculate the remainder when 4194 is divided by 1396. 6 Calculate the remainder when 169351 is divided by 56450. 1 What is the remainder when 334967 is divided by 63? 59 What is the remainder when 21171 is divided by 55? 51 Calculate the remainder when 1224 is divided by 151. 16 Calculate the remainder when 647092 is divided by 6. 4 What is the remainder when 159489 is divided by 82? 81 What is the remainder when 18859 is divided by 295? 274 What is the remainder when 4587669 is divided by 10? 9 Calculate the remainder when 155864 is divided by 173. 164 Calculate the remainder when 147 is divided by 132. 15 What is the remainder when 1264785 is divided by 196? 193 What is the remainder when 489439 is divided by 25759? 18 Calculate the remainder when 15555 is divided by 192. 3 What is the remainder when 3569 is divided by 77? 27 What is the remainder when 11173 is divided by 5489? 195 Calculate the remainder when 1015 is divided by 8. 7 Calculate the remainder when 59206 is divided by 6574. 40 What is the remainder when 209745 is divided by 5826? 9 What is the remainder when 4995 is divided by 1241? 31 What is the remainder when 4529 is divided by 151? 150 What is the remainder when 10948 is divided by 244? 212 What is the remainder when 85627 is divided by 219? 217 What is the remainder when 10495 is divided by 368? 191 Calculate the remainder when 3734971 is divided by 178. 175 Calculate the remainder when 1157 is divided by 215. 82 What is the remainder when 13575 is divided by 4408? 351 What is the remainder when 821308 is divided by 13? 7 What is the remainder when 4508 is divided by 233? 81 What is the remainder when 333685 is divided by 83420? 5 What is the remainder when 285717 is divided by 206? 201 Calculate the remainder when 15172 is divided by 262. 238 What is the remainder when 119005 is divided by 238? 5 What is the remainder when 1889422 is divided by 91? 80 Calculate the remainder when 2520 is divided by 2466. 54 Calculate the remainder when 192534 is divided by 64166. 36 Calculate the remainder when 31066 is divided by 154. 112 What is the remainder when 4179 is divided by 95? 94 Calculate the remainder when 120895 is divided by 40248. 151 Calculate the remainder when 1366721 is divided by 124. 117 Calculate the remainder when 110074 is divided by 21. 13 What is the remainder when 4335176 is divided by 539? 538 Calculate the remainder when 34702 is divided by 244. 54 What is the remainder when 260331 is divided by 37? 36 Calculate the remainder when 491 is divided by 490. 1 Calculate the remainder when 2400 is divided by 335. 55 Calculate the remainder when 427721 is divided by 22. 19 What is the remainder when 336626 is divided by 23? 21 Calculate the remainder when 766 is divided by 381. 4 What is the remainder when 29271 is divided by 488? 479 Calculate the remainder when 8069 is divided by 3925. 219 Calculate the remainder when 1272 is divided by 203. 54 What is the remainder when 44806 is divided by 65? 21 Calculate the remainder when 24907 is divided by 8210. 277 Calculate the remainder when 44480 is divided by 155. 150 What is the remainder when 920885 is divided by 43? 40 What is the remainder when 494758 is divided by 3? 1 Calculate the remainder when 1765 is divided by 1503. 262 Calculate the remainder when 41033 is divided by 20488. 57 What is the remainder when 1048139 is divided by 108? 107 What is the remainder when 21710 is divided by 170? 120 Calculate the remainder when 19048 is divided by 486. 94 Calculate the remainder when 88041 is divided by 53. 8 What is the remainder when 145963 is divided by 48642? 37 Calculate the remainder when 585002 is divided by 34. 32 What is the remainder when 6406 is divided by 130? 36 What is the remainder when 27596 is divided by 988? 920 Calculate the remainder when 22501 is divided by 97. 94 What is the remainder when 9692 is divided by 32? 28 What is the remainder when 695454 is divided by 61? 54 Calculate the remainder when 464577 is divided by 116. 113 Calculate the remainder when 3083000 is divided by 16. 8 Calculate the remainder when 13438 is divided by 383. 33 What is the remainder when 520830 is divided by 130207? 2 What is the remainder when 2259 is divided by 1058? 143 What is the remainder when 11434 is divided by 229? 213 Calculate the remainder when 163528 is divided by 41. 20 Calculate the remainder when 144938 is divided by 29. 25 What is the remainder when 1743 is divided by 156? 27 Calculate the remainder when 7377 is divided by 295. 2 Calculate the remainder when 4007 is divided by 1987. 33 Calculate the remainder when 655719 is divided by 776. 775 Calculate the remainder when 22061 is divided by 3134. 123 What is the remainder when 4158 is divided by 272? 78 What is the remainder when 41337 is divided by 67? 65 What is the remainder when 6909 is divided by 101? 41 What is the remainder when 6894 is divided by 452? 114 What is the remainder when 29166 is divided by 275? 16 What is the remainder when 91416 is divided by 243? 48 What is the remainder when 17013 is divided by 4230? 93 What is the remainder when 215499 is divided by 26? 11 Calculate the remainder when 729057 is divided by 419. 416 Calculate the remainder when 173277 is divided by 28875. 27 What is the remainder when 2879 is divided by 430? 299 Calculate the remainder when 267191 is divided by 1830. 11 Calculate the remainder when 42657 is divided by 6093. 6 What is the remainder when 582920 is divided by 9? 8 Calculate the remainder when 1431924 is divided by 17. 14 Calculate the remainder when 5301 is divided by 55. 21 Calculate the remainder when 4308 is divided by 599. 115 What is the remainder when 9114 is divided by 9109? 5 Calculate the remainder when 2782 is divided by 494. 312 What is the remainder when 55753 is divided by 53? 50 Calculate the remainder when 12590 is divided by 37. 10 Calculate the remainder when 91970 is divided by 91940. 30 What is the remainder when 37252 is divided by 268? 0 What is the remainder when 80006 is divided by 584? 582 Calculate the remainder when 13359 is divided by 1469. 138 What is the remainder when 3156 is divided by 1572? 12 Calculate the remainder when 15023 is divided by 42. 29 What is the remainder when 5130 is divided by 427? 6 Calculate the remainder when 10007 is divided by 3. 2 What is the remainder when 381237 is divided by 1059? 1056 What is the remainder when 916624 is divided by 8? 0 Calculate the remainder when 13450 is divided by 16. 10 What is the remainder when 2237 is divided by 1453? 784 What is the remainder when 11604 is divided by 124? 72 Calculate the remainder when 137168 is divided by 11. 9 What is the remainder when 822 is divided by 130? 42 Calculate the remainder when 3279 is divided by 1252. 775 Calculate the remainder when 87989 is divided by 27. 23 Calculate the remainder when 64152 is divided by 91. 88 Calculate the remainder when 16960 is divided by 66. 64 What is the remainder when 172658 is divided by 48? 2 Wha
{ "pile_set_name": "DM Mathematics" }
10*a**2 - 39*a**2 + 2*a**2 + 16*a**2 + 7*a. Let g(k) = 4*k**2 + 13*k. What is -6*g(u) + 11*w(u)? -2*u**2 - u Let o = 7 + -5. Let s(j) = j. Let q(c) be the second derivative of 5*c**3/6 - 3*c**2 + 7*c. Let f(l) = o*s(l) - q(l). Let y(v) = v - 1. Give -f(x) - 5*y(x). -2*x - 1 Let s(o) = -2*o**3 + 2*o**2 + 5*o. Let g(d) = 10*d**3 - 11*d**2 - 26*d - 1. Determine 2*g(p) + 11*s(p). -2*p**3 + 3*p - 2 Let q(s) = 6*s - 7*s - 7*s + 3*s - 2 + 0. Let h(i) = i + 1. Give 4*h(a) + q(a). -a + 2 Let b(x) = -12*x**3 + 23*x**2 - 17*x - 11. Let z(p) = -2 - 4*p**2 - 2*p - 2*p**3 + 3*p**2 + 5*p**2 - p. Calculate 6*b(q) - 34*z(q). -4*q**3 + 2*q**2 + 2 Let u(o) = 7*o**3 - 11*o**2 + 4*o + 6. Let h(b) = -6*b**3 + 9*b**2 - 4*b - 5. Give -6*h(d) - 5*u(d). d**3 + d**2 + 4*d Suppose 5*d + 17*l = 13*l - 27, 0 = 3*d + 5*l + 24. Let o(q) = 2*q**2 - q. Let k(i) = -i**2 + 1. Calculate d*k(g) - o(g). g**2 + g - 3 Let n(d) = -1. Suppose -1 = 9*s - 10*s. Let w = -1 + 2. Let q(o) = 0*o - 4*o - w - s + 3*o. Give -6*n(l) + 2*q(l). -2*l + 2 Let p(l) = 72*l - 7. Let c(v) = v - 2. Determine 3*c(f) - p(f). -69*f + 1 Let o(z) = -4*z. Let x(v) = v + 2. Let c(k) = -2*k - 3. Let f(q) = 3*c(q) + 5*x(q). Calculate -2*f(p) + o(p). -2*p - 2 Let n(j) = -6*j**2 + 4*j - 3. Let o = -18 + 13. Let x(p) = -150*p**2 - 3 - 103*p**2 + 246*p**2 + 5*p. Calculate o*n(s) + 4*x(s). 2*s**2 + 3 Let b(v) be the first derivative of -8*v**3/3 - 8*v - 243. Let w be (29 - 7)*1/(-2). Let y(q) = 3*q**2 + 3. Calculate w*y(p) - 4*b(p). -p**2 - 1 Let h(p) = -6*p + 12. Let y(k) = -5*k + 13. Suppose -g + 2*g - 4 = -4*q, -5*q = 3*g - 12. Calculate g*y(f) - 3*h(f). -2*f + 16 Let g(n) = 10*n - 776*n**2 + 1534*n**2 - 773*n**2. Let b(h) = h**2 - h. Calculate 10*b(c) + g(c). -5*c**2 Let i(n) = -31*n**2 - 2*n - 4. Let w(g) = -91*g**2 - 5*g - 11. What is -8*i(x) + 3*w(x)? -25*x**2 + x - 1 Let v(z) = z**3 + z**2. Let k(l) = 2*l**3 + 14*l**2 - 2. Give -k(b) + 4*v(b). 2*b**3 - 10*b**2 + 2 Let w(g) = -12*g + 2. Let k(z) = 7*z - 1. Let u(y) = -5*k(y) - 3*w(y). Let r(f) = f**3 - 2*f**2 - 5*f + 6. Calculate -r(d) - 6*u(d). -d**3 + 2*d**2 - d Let y(p) = -6790*p - 291. Let x(i) = 93*i + 4. Give -291*x(n) - 4*y(n). 97*n Let l be ((-65)/(-10))/(-13)*(1 - 3). Let u(q) = -20*q**2 - 2*q + 2. Let k be u(l). Let d(p) = 55*p + 20. Let o(t) = -8*t - 3. Give k*o(v) - 3*d(v). -5*v Let i(u) = 8*u**3 + 6*u**2 - 4*u - 6. Let f be -2 + 2 - -3 - -3. Let k = 839 - 844. Let t(g) = 7*g**3 + 5*g**2 - 3*g - 5. Give f*t(s) + k*i(s). 2*s**3 + 2*s Suppose 2*z = 4*j - 52, -3*z + 5*j = -31 + 111. Suppose -2*x = -x - 25. Let s = z + x. Let g(v) = -2*v + 3. Let u(n) = n - 2. Determine s*u(t) - 3*g(t). t + 1 Let l(o) = -8*o + 3. Let h(b) be the second derivative of 3*b**3/2 - 3*b**2/2 - 85*b. What is 6*h(k) + 7*l(k)? -2*k + 3 Let a(n) = 12*n**2 + 5*n + 5. Let m(d) = -13*d**2 - 3*d - 6. Calculate -7*a(z) - 6*m(z). -6*z**2 - 17*z + 1 Let n(k) = k + 5. Let x(v) = 1. Let y = 1434 + -1436. Determine y*n(z) + 11*x(z). -2*z + 1 Let p(g) = 9*g**2 - 6*g - 5. Let k(x) = 7*x**2 - 6*x - 4. Let o(t) = 3*k(t) - 4*p(t). Let r(n) = -10*n**2 + 4*n + 5. What is 5*o(l) - 8*r(l)? 5*l**2 - 2*l Let h(g) = g**2 - g - 1. Let x(w) = -80*w**3 + 2*w**2 - 2*w - 3. What is -2*h(k) + x(k)? -80*k**3 - 1 Let f(v) = v**3 - 2*v + 2. Suppose 469 = -0*d + 4*d - 5*s, 112 = d - 3*s. Let n = 118 - d. Let h(y) = y**3 - y + 1. What is n*f(j) + 6*h(j)? 3*j**3 Let c(z) = 3*z**3 - 9. Let a = -408 - -403. Let l(n) = 4*n**3 - 10. Give a*l(s) + 6*c(s). -2*s**3 - 4 Let j(g) = 24*g - 15. Let l(o) = 22*o - 13. Give -4*j(b) + 5*l(b). 14*b - 5 Suppose -2*c = -5*c + 18. Suppose -4*t - 6*t + 130 = 0. Let g(v) = 2*v**3 + 13*v**2 - 9*v - 2. Let y(k) = -k**3 - 6*k**2 + 4*k + 1. Give c*g(j) + t*y(j). -j**3 - 2*j + 1 Let i(f) = -55*f**2 + 12*f**2 + 8*f**2 + 2 + 11*f**2 + 15*f**2 + f. Let x(d) = d**2 + d + 1. Give i(w) - 2*x(w). -11*w**2 - w Let g(o) = 11*o - 7. Let h be 3*(-1 - 8/6). Suppose q = 4*y - 15, -4*y + 5*q + 14 = 3*q. Let j(b) = 6*b - 4. What is h*j(c) + y*g(c)? 2*c Suppose 0*u - 3*u = -126. Let s(k) = -4*k**2 + u*k + 9*k**3 - 76*k + 34*k + 4. Let h(d) = 10*d**3 - 5*d**2 + 5. Determine -4*h(x) + 5*s(x). 5*x**3 Let q(d) = 5*d**2 - 93*d + 1. Let l(o) = -6*o**2 + 93*o - 2. Determine 3*l(s) + 4*q(s). 2*s**2 - 93*s - 2 Let u(q) = -2*q**2 - 8*q - 1. Let b(p) = -2*p**2 - 7*p + 5. Let z(o) = 4*o**2 + 14*o - 11. Let r(w) = 13*b(w) + 6*z(w). Calculate -5*r(s) + 4*u(s). 2*s**2 + 3*s + 1 Let f(w) = -40*w**3 - 3*w**2 - 5. Let l(s) = -41*s**3 - 4*s**2 - 6. What is -6*f(m) + 5*l(m)? 35*m**3 - 2*m**2 Let h(z) = 3*z**2 - 4*z + 5. Let d(b) = -303 - b**2 - 3*b + 618 - 311 + 4*b**2. What is 5*d(j) - 4*h(j)? 3*j**2 + j Let v(a) be the third derivative of -1/4*a**4 - 1/6*a**3 + 0 - 8*a**2 + 0*a. Let z(w) be the second derivative of w**3/6 + 2*w. Give -v(t) - 5*z(t). t + 1 Let q(x) = -70*x**2 - x - 2. Let f(s) = -68*s**2 - 2*s - 3. Calculate -3*f(z) + 4*q(z). -76*z**2 + 2*z + 1 Let k(y) = 5*y**2 + 2*y + 3. Let u(v) = v**2 + v + 1. Determine -k(c) + 2*u(c). -3*c**2 - 1 Let h(t) = 4*t. Suppose -4*c = -5*p + 24, -3*c - 4*p = -0*c - 13. Let s(i) = -i. Determine c*h(m) - 2*s(m). -2*m Let a(v) = -15*v**3 + 3*v**2 + 3. Suppose 9*t - 10*t + 2*m - 7 = 0, m - 17 = -4*t. Let d(u) = -14*u**3 + 4*u**2 + 4. Calculate t*d(i) - 4*a(i). 18*i**3 Let j(d) = -7*d - 12. Let h(p) = 12*p + 26. Give 3*h(r) + 5*j(r). r + 18 Let p(y) = -2*y - 4. Let i(v) = 1. Suppose 3*w - 10 = -115. Let n = 32 + w. Calculate n*i(r) - p(r). 2*r + 1 Let a(j) = 31*j. Let h(w) = -556 - 6*w + 556. What is -4*a(d) - 22*h(d)? 8*d Let u(n) = -2*n**2 + n. Let m(c) = -6*c**2 + 3*c. Let i be -56*9/(-36) + 0/1. Calculate i*u(g) - 4*m(g). -4*g**2 + 2*g Let z(c) = -18*c**3 - 7*c**2 - 7. Let a(n) = 17*n**3 + 6*n**2 - n + 6. Give -7*a(u) - 6*z(u). -11*u**3 + 7*u Let g(o) = o**3 + o + 1. Let f(k) = -k**3 + 3*k + 1. Suppose 0 = -3*s - 3*q, -s = 4*s - 2*q + 7. Determine s*f(l) + 2*g(l). 3*l**3 - l + 1 Let s(t) = 15*t**2 + 13*t + 8. Let w(h) = 2*h**2 + 1. What is -s(y) + 6*w(y)? -3*y**2 - 13*y - 2 Let q(t) = 5*t - 253. Let b(v) = 2*v - 85. Give -11*b(k) + 4*q(k). -2*k - 77 Let f(c) = -2*c**3 - 2*c + 2. Let r(o) = o**3 + 6*o**2 - 12*o - 39. Let i be r(-7). Let h(m) = -8*m**3 - 9*m + 9. Determine i*h(b) + 18*f(b). -4*b**3 Suppose d - g = 2*d - 3, 4*g - 20 = 4*d. Let x(k) = -k + 1. Let r(t) be the third derivative of t**4/6 - 5*t**3/6 - 2*t**2. Give d*r(i) - 5*x(i). i Let m(i) = -3*i**2 - 2*i - 242. Let l(g) = 7*g**2 + 5*g + 484. What is -2*l(j) - 5*m(j)? j**2 + 242 Let l(k) = -k**2 - 8*k - 2. Let r be l(-8). Let v(j) = -j. Let t(u) = -2*u**2 - u + 1. Suppose 5*n + 3*c = -11 + 4, -2*c = -3*n + 11. Calculate n*t(o) + r*v(o). -2*o**2 + o + 1 Let t(o) = 68*o**2 - 10*o - 5. Let j(x) = 67*x**2 - 8*x - 4. What is -5*j(p) + 4*t(p)? -63*p**2 Let q(m) = -m**3 + 0*m + m**2 + 0*m. Suppose -5*r + 2*o = 16, -8*r + 4*o = -11*r - 20. Let a(n) = 2*n**3 - n**2. Calculate r*q(d) - 4*a(d). -4*d**3 Let k(c) be the second derivative of c**3/3 + 4*c**2 - c. Let p(o) = 21 + 24 - 44. Calculate k(r) - 6*p(r). 2*r + 2 Suppose -33 = -3*b + 9. Let s = 0 + 2. Suppose s*p - 4*p = b. Let m(o) = 4*o + 9. Let g(l) = 2*l + 4. Calculate p*g(v) + 3*m(v). -2*v - 1 Let b(o) = -6*o - 9. Let j(u) = -u - 1. Suppose r - 8*p = -6*p + 9, r - 13 = 4*p. Calculate r*j(h) - b(h). h + 4 Let b(x) = -2*x**2 - 2*x + 1. Let z(s) = 7*s + 1 - 4*s - 4*s. Determine -2*b(i) + 4*z(i). 4*i**2 + 2 Let w(h) = -6*h**2 + 2. Let z(o) be the second derivative of -o**4/2 + o**3/6 + o**2 - 567*o. Calculate -3*w(s) + 2*z(s). 6*s**2 + 2*s - 2 Let m(j) = -4*j**3 - 48*j + 7. Let x(p) = 4*p**3 + 47*p - 6. What is 6*m(h) + 7*x(h)? 4*h**3 + 41*h Let z(n) = 1. Let r = 3 - 4. Let c be (-1)/r - 4/2. Let s = -358 - -352. Let a(k) = -k - 8. What is c*a(t) + s*z(t)? t + 2 Suppose -5*j = -2*l - 3*l - 20, -4*j + 18 = -5*l. Let c(z) be the second derivative of -j*z + z**2 - 1/6*z**3 + 0. Let o(x) = 3*x - 7. What is 7*c(s) + 2*o(s)? -s Let y(o) = 35*o**2 - 2*o + 17. Let t(h) = -18*h**2 + h - 8. What is 5*t(c) + 3*y(c)? 15*c**2 - c + 11 Let m(j) = -4*j + 4. Let k(y) = -5*y - 1 + 0*y + 3*y + 3*y. Suppose 0 = 7*h + 790 - 825. Let z be 2/4*4/2. What is h*k(x) + z*m(x)? x - 1 Let q(v) = -20*v**3 - 4*v**2 - 4. Suppose 36 + 30 = 6*z. Let a(p) = -59*p**3 - 11*p**2 - 11. Give z*q(d) - 4*a(d
{ "pile_set_name": "DM Mathematics" }
, -14, -2 in decreasing order. 5, 2, -1, -2, -14 Put 56, 4, -8 in decreasing order. 56, 4, -8 Sort 0, 0.4, -5, 58 in increasing order. -5, 0, 0.4, 58 Sort 3, 4, -2, 1 in descending order. 4, 3, 1, -2 Put 3, 1, 0, 1/4 in increasing order. 0, 1/4, 1, 3 Sort -11, -3, 2, 3, -24 in increasing order. -24, -11, -3, 2, 3 Sort -2/11, -0.3, 18, 0.4 in decreasing order. 18, 0.4, -2/11, -0.3 Put 1, 4, 115, 42, 0 in descending order. 115, 42, 4, 1, 0 Put -7, 3, 28, 4 in descending order. 28, 4, 3, -7 Put -4, -264, 0, 6 in ascending order. -264, -4, 0, 6 Put -0.1, -3107, -2 in increasing order. -3107, -2, -0.1 Sort 3, -5, 8, -8, 5. -8, -5, 3, 5, 8 Sort -20, 5, 17, -4, 0.1 in descending order. 17, 5, 0.1, -4, -20 Sort -1, 0, -159, -6 in descending order. 0, -1, -6, -159 Sort 25, 4, -1, 5 in descending order. 25, 5, 4, -1 Put 0.4, -2/7, 0.1, 5 in decreasing order. 5, 0.4, 0.1, -2/7 Sort -747, 2, -5, -1, -4 in descending order. 2, -1, -4, -5, -747 Put 0, -0.5, 85 in decreasing order. 85, 0, -0.5 Put 6, -56, 1 in decreasing order. 6, 1, -56 Sort -152, 7, 2, -5. -152, -5, 2, 7 Sort 1, -1, 2, -2 in descending order. 2, 1, -1, -2 Put 1, 8, 278, -1 in descending order. 278, 8, 1, -1 Put 1, -4, -48 in descending order. 1, -4, -48 Put -0.5, -20/33, 0.1, -1 in decreasing order. 0.1, -0.5, -20/33, -1 Sort 0, 453, -2 in descending order. 453, 0, -2 Sort -4.4, -5, 1 in increasing order. -5, -4.4, 1 Sort 1, -0.9, -1 in descending order. 1, -0.9, -1 Sort 0, 2, -24 in decreasing order. 2, 0, -24 Sort 4, -28, 3. -28, 3, 4 Sort 42215, 3/4, -3 in ascending order. -3, 3/4, 42215 Put -4, -1, -5, -2/19, 1/190 in descending order. 1/190, -2/19, -1, -4, -5 Put 0, 3, -0.5, 12 in descending order. 12, 3, 0, -0.5 Sort 11, -12, -4, 6. -12, -4, 6, 11 Sort 0.02, -2/21, 47, -2/3 in ascending order. -2/3, -2/21, 0.02, 47 Put 509, 0.5, 0, -2/5 in decreasing order. 509, 0.5, 0, -2/5 Sort -1/2, -48, -4, -2/5 in ascending order. -48, -4, -1/2, -2/5 Put -122, 2, -1, -4 in decreasing order. 2, -1, -4, -122 Put 1, 2/35, -6, -2 in decreasing order. 1, 2/35, -2, -6 Put -4, 2/11, -0.4, -33 in decreasing order. 2/11, -0.4, -4, -33 Sort -2/9, 1/29, -2/7, 1.4 in increasing order. -2/7, -2/9, 1/29, 1.4 Put -4, 4, 0, -2, 2 in increasing order. -4, -2, 0, 2, 4 Sort -12/13, -1/4, 0.5, -2/7, 1/5 in ascending order. -12/13, -2/7, -1/4, 1/5, 0.5 Sort -0.2, 0.4, 55, 3 in decreasing order. 55, 3, 0.4, -0.2 Sort -4, -136, 4/7, -3. -136, -4, -3, 4/7 Sort 578, 1, 5 in ascending order. 1, 5, 578 Sort -0.1, 11.35, -2. -2, -0.1, 11.35 Put 4, -1, 9, -2, 19 in increasing order. -2, -1, 4, 9, 19 Put -4, -1, 178 in decreasing order. 178, -1, -4 Put -5, -4, 0.15, 4 in increasing order. -5, -4, 0.15, 4 Sort -0.05, -0.1, 18, -2. -2, -0.1, -0.05, 18 Sort 148, -5, -4, 4, -1 in increasing order. -5, -4, -1, 4, 148 Put -3, -2, 0.4, -2/7, -0.3 in ascending order. -3, -2, -0.3, -2/7, 0.4 Put -4/9, 5, -5, 11 in ascending order. -5, -4/9, 5, 11 Put 1, -0.03, 13 in descending order. 13, 1, -0.03 Sort -1, -2, 404 in decreasing order. 404, -1, -2 Sort -2, 21, -1, 3 in descending order. 21, 3, -1, -2 Put 4, -4, -3, 441 in descending order. 441, 4, -3, -4 Put 76, 3, -4, -0.02 in increasing order. -4, -0.02, 3, 76 Put -2/57, -43, -5 in descending order. -2/57, -5, -43 Sort -1, -0.2, 0.13, 0.02, 0.3 in increasing order. -1, -0.2, 0.02, 0.13, 0.3 Sort -11, -6/5, -1/5 in increasing order. -11, -6/5, -1/5 Put -5, -2, -5539, -1 in ascending order. -5539, -5, -2, -1 Put -17, -4, -5 in descending order. -4, -5, -17 Put -2/9, -1/2, -5.85, 1 in descending order. 1, -2/9, -1/2, -5.85 Sort -5, -14, 29, 4 in increasing order. -14, -5, 4, 29 Put 74.6, 1/3, 0.01 in descending order. 74.6, 1/3, 0.01 Put 2/17, 1, 5, -1 in increasing order. -1, 2/17, 1, 5 Sort 0.01, 13, -2/3, 5 in decreasing order. 13, 5, 0.01, -2/3 Put -2, -2/9, -604 in increasing order. -604, -2, -2/9 Put 0.02, -4, -1, 0.2 in descending order. 0.2, 0.02, -1, -4 Put 8/9, 0.2, 0.16 in increasing order. 0.16, 0.2, 8/9 Put -5, -6, -34 in ascending order. -34, -6, -5 Sort 0, 7, -5. -5, 0, 7 Sort -1/5, 0, 10, -2, 1 in descending order. 10, 1, 0, -1/5, -2 Sort 0, -75, 45 in decreasing order. 45, 0, -75 Put 0, -2, -0.3, 0.2, -3.4 in descending order. 0.2, 0, -0.3, -2, -3.4 Sort -1/3, 2, 31 in increasing order. -1/3, 2, 31 Sort 1/8, 2/13, -0.2 in descending order. 2/13, 1/8, -0.2 Sort 0, 3, 10. 0, 3, 10 Sort 4, 34, 5, -8, 1 in ascending order. -8, 1, 4, 5, 34 Put -25, -227, 0 in decreasing order. 0, -25, -227 Put -0.5, -4/11, -1, -4, 1/30 in decreasing order. 1/30, -4/11, -0.5, -1, -4 Sort -5, 2, -5087 in decreasing order. 2, -5, -5087 Put -8, 3, -166 in ascending order. -166, -8, 3 Sort 0, 2, -657. -657, 0, 2 Put 0.08, 6, 7.8 in descending order. 7.8, 6, 0.08 Put -4, 5, -3, 127 in descending order. 127, 5, -3, -4 Put 0, 434, 2/13 in descending order. 434, 2/13, 0 Sort -1, 27, -5, 23 in increasing order. -5, -1, 23, 27 Sort 0.19, -5, 0.5, 3, -4 in increasing order. -5, -4, 0.19, 0.5, 3 Sort 199, -63, -5, 3 in decreasing order. 199, 3, -5, -63 Put 6, -541, 1 in ascending order. -541, 1, 6 Sort 0, 45, 0.2 in decreasing order. 45, 0.2, 0 Put -3/11, 23, -0.1 in decreasing order. 23, -0.1, -3/11 Put 4, -30, 1 in decreasing order. 4, 1, -30 Sort 0.3, 109, -0.045 in decreasing order. 109, 0.3, -0.045 Sort 8, -2, -26 in decreasing order. 8, -2, -26 Sort 54, 3, -5, -2. -5, -2, 3, 54 Sort -1/20, -2/13, 14, 0.5 in descending order. 14, 0.5, -1/20, -2/13 Put 7, 2, 323 in descending order. 323, 7, 2 Put -5/3, -4, 1/6, 2, -5 in descending order. 2, 1/6, -5/3, -4, -5 Put 5, -1/4, -20 in descending order. 5, -1/4, -20 Put -0.08, 2, 16, 0.2 in decreasing order. 16, 2, 0.2, -0.08 Sort -2, -1, -7, 14. -7, -2, -1, 14 Sort 3, 0, 2, -117. -117, 0, 2, 3 Put 8, 1, 4, -1 in descending order. 8, 4, 1, -1 Sort 1, -224, 1/6 in decreasing order. 1, 1/6, -224 Put 2, -3/4, -0.5 in increasing order. -3/4, -0.5, 2 Put -3, 3/4, -54 in descending order. 3/4, -3, -54 Put 5, -1, 13, -6 in descending order. 13, 5, -1, -6 Sort 3/4, -3, -17. -17, -3, 3/4 Put 0, 3, -39 in ascending order. -39, 0, 3 Put 98, 4, 3, -2, 0 in decreasing order. 98, 4, 3, 0, -2 Put 3/5, 4, 1/3, -5, 0.5 in ascending order. -5, 1/3, 0.5, 3/5, 4 Sort 1, -2/21, 3, -14 in decreasing order. 3, 1, -2/21, -14 Sort -86, -5, -2, 3, -1 in descending order. 3, -1, -2, -5, -86 Sort 0, -17, -2/15, -3. -17, -3, -2/15, 0 Put 4, 1/2, -9, -0.2 in decreasing order. 4, 1/2, -0.2, -9 Sort -6, 1/2, -2/5, -0.6, 43 in ascending order. -6, -0.6, -2/5, 1/2, 43 Sort 1/2, 175, 1/6, 0.4, 0.2 in decreasing order. 175, 1/2, 0.4, 0.2, 1/6 Sort 4, 5, 6, 0, 115 in ascending order. 0, 4, 5, 6, 115 Put 5, 50, 0 in increasing order. 0, 5, 50 Sort 1, -5, 5, -6 in descending order. 5, 1, -5, -6 Sort 5, -2, -687 in descending order. 5, -2, -687 Put -13, 3, 0 in ascending order. -13, 0, 3 Put 5, 19, 16 in decreasing order. 19, 16, 5 Put -5, 0, 11, 50, 2 in decreasing order. 50, 11, 2, 0, -5 Sort 3/4, 1, -2/3, -3.3, 0 in increasing order. -3.3, -2/3, 0, 3/4, 1 Sort 29, 1/3, -1/3, -2/19 in increasing order. -1/3, -2/19, 1/3, 29 Sort -2/5, -0.54, 0.3, -2/31 in descending order. 0.3, -2/31, -2/5, -0.54 Sort 5.1, 2, 1/4, 6 in descending order. 6, 5.1, 2, 1/4 Put 5, -1/2, 38/5 in ascending order. -1/2, 5, 38/5 Put -4, 5, 390 in ascending order. -4, 5, 390 Put 0.259, 1, -4, 0 in decreasing order. 1, 0.259, 0, -4 Sort 156, -5, 2 in increasing order. -5, 2, 156 Sort -1, -5, 4, -695. -695, -5, -1, 4 Put 0.4, -4, 0.15, -215 in increasing order. -215, -4, 0.15, 0.4 Put 3, 607, 4 in descending order. 607, 4, 3 Sort 4, -1, -1/4, -15/2, 23 in ascending order. -15/2, -1, -1/4, 4, 23 Sort -3/4, -1/4, -10/77 in decreasing order. -10/77, -1/4, -3/4 Put 22/13, 2/9, 0.2, -0.1 in descending order. 22/13, 2/9, 0.2, -0.1 Put -2, -12, -47, 3 in descending order. 3, -2, -12, -47 Sort -52, -1, -1/3, -4 in ascending order. -52, -4, -1, -1/3 Sort -3, 1, -5, -37 in descending order. 1, -3, -5, -37 Sort 0.1, 1.8, -1/4, -0.3 in ascending order. -0.3, -1/4, 0.1, 1.8 Put 3, 4/53, -5, -4 in descending order. 3, 4/53, -4, -5 Sort -4, -1, 4, -21, 0 in descending order. 4, 0, -1, -4, -21 Put -17, 3, -2, 17 in decreasing order. 17, 3, -2, -17 Sort -4, 0, -1, -17, 6 in decreasing order. 6, 0, -1, -4, -17 Sort 0.1, 4, 8, 0.03, -0.4.
{ "pile_set_name": "DM Mathematics" }
earest integer? 23283 What is -26.4988522 rounded to one decimal place? -26.5 Round 0.0000550963672 to 6 decimal places. 0.000055 Round -0.3501855154 to two decimal places. -0.35 Round -0.004182517 to 7 dps. -0.0041825 Round -0.216317685 to 4 decimal places. -0.2163 Round -23464017 to the nearest one million. -23000000 Round 21725124050 to the nearest 1000000. 21725000000 What is -0.01128907028 rounded to 6 dps? -0.011289 Round 5627202.869 to the nearest 100000. 5600000 What is -8736869.7 rounded to the nearest one thousand? -8737000 What is 181291.424 rounded to the nearest 10000? 180000 What is 0.000009414300575 rounded to 6 decimal places? 0.000009 Round 235504.8329 to the nearest ten. 235500 Round -0.0000056733894 to 6 dps. -0.000006 Round -0.245289759 to three decimal places. -0.245 Round 27270115.1 to the nearest ten thousand. 27270000 Round -0.00047925353 to 6 dps. -0.000479 What is 0.1062825665 rounded to 3 decimal places? 0.106 What is 461227056 rounded to the nearest 100000? 461200000 What is 103490.8868 rounded to the nearest ten thousand? 100000 Round 14.8254574 to 3 dps. 14.825 What is 0.000001952718121 rounded to 7 decimal places? 0.000002 What is 180.009589 rounded to two decimal places? 180.01 What is -0.00369923598 rounded to three dps? -0.004 Round -0.205818163 to 3 decimal places. -0.206 What is -0.272608293 rounded to 5 dps? -0.27261 What is -39453350450 rounded to the nearest one million? -39453000000 Round -435.333263 to two dps. -435.33 What is 193097131 rounded to the nearest 1000000? 193000000 What is 44466334.04 rounded to the nearest one million? 44000000 Round 19961.0453 to the nearest one thousand. 20000 Round -1380.4963 to the nearest integer. -1380 What is 100.2046913 rounded to two dps? 100.2 What is -6.03438855 rounded to zero dps? -6 Round -30678.886 to the nearest ten. -30680 Round -48.9318807 to 2 dps. -48.93 Round 8408.8565 to the nearest 100. 8400 What is 0.0000782475359 rounded to six dps? 0.000078 Round -7681113.46 to the nearest one hundred. -7681100 What is 0.002248494939 rounded to 4 dps? 0.0022 Round 0.002002349719 to 4 dps. 0.002 Round -0.3289641644 to 2 decimal places. -0.33 What is 961.71278 rounded to the nearest 100? 1000 Round 5486.47781 to the nearest one thousand. 5000 Round -0.00179490404 to three dps. -0.002 What is -0.574994255 rounded to 4 dps? -0.575 What is 0.0899540177 rounded to two decimal places? 0.09 Round -0.096870836 to 4 decimal places. -0.0969 Round -95966205200 to the nearest 1000000. -95966000000 What is -49274.63985 rounded to the nearest 1000? -49000 What is -0.000210280121 rounded to six decimal places? -0.00021 What is 0.00586890484 rounded to 7 decimal places? 0.0058689 Round -14812864300 to the nearest one million. -14813000000 Round 0.000045928719 to 6 dps. 0.000046 Round 1986618.65 to the nearest 100. 1986600 What is -959.216025 rounded to the nearest one hundred? -1000 Round -364.95305 to 1 decimal place. -365 Round -0.00072357196 to five decimal places. -0.00072 Round 0.002775601866 to 7 decimal places. 0.0027756 Round -0.998564163 to five decimal places. -0.99856 Round -0.008016769 to 3 decimal places. -0.008 What is 0.301004962 rounded to 4 decimal places? 0.301 Round -57191804.2 to the nearest 1000. -57192000 What is 2.37122622 rounded to one dp? 2.4 What is -6682064.69 rounded to the nearest one million? -7000000 What is 0.91751351 rounded to 1 dp? 0.9 Round 0.0000664600214 to seven dps. 0.0000665 What is 154.0166754 rounded to 1 decimal place? 154 What is 13.246278 rounded to the nearest integer? 13 Round -1450046 to the nearest 1000. -1450000 What is -0.6963561657 rounded to two decimal places? -0.7 What is -2033582 rounded to the nearest ten thousand? -2030000 What is 5451857.5 rounded to the nearest 1000? 5452000 Round -814518445.9 to the nearest 100000. -814500000 Round -21992846000 to the nearest one million. -21993000000 Round -0.000485624928 to five dps. -0.00049 Round -1119084.2367 to the nearest 10. -1119080 Round 9.2085125 to one dp. 9.2 What is -0.16781521 rounded to two decimal places? -0.17 Round -344.6829873 to the nearest 10. -340 What is 67611.499 rounded to the nearest one hundred thousand? 100000 What is 0.000002257697021 rounded to six decimal places? 0.000002 What is 12039946091 rounded to the nearest one million? 12040000000 What is 0.000745610514 rounded to 5 decimal places? 0.00075 Round -13504.4272 to the nearest 10. -13500 What is 522876.0665 rounded to the nearest one hundred thousand? 500000 What is 8479.43671 rounded to the nearest 1000? 8000 What is -198.219425 rounded to two decimal places? -198.22 What is -404.387117 rounded to the nearest ten? -400 What is 10533462.323 rounded to the nearest 1000000? 11000000 What is 0.000003061139 rounded to 7 decimal places? 0.0000031 What is -0.2056488346 rounded to two dps? -0.21 What is 0.000001426320742 rounded to 7 dps? 0.0000014 What is -1.95680065 rounded to 3 dps? -1.957 What is 2053882.7 rounded to the nearest ten thousand? 2050000 Round -137016.73 to the nearest ten. -137020 Round 1824564910 to the nearest one hundred thousand. 1824600000 What is -97906833 rounded to the nearest 1000000? -98000000 What is 779778.97 rounded to the nearest one thousand? 780000 What is -0.056427696 rounded to two dps? -0.06 What is 0.00034295696 rounded to six dps? 0.000343 Round -9097763.3 to the nearest 1000000. -9000000 What is -0.0000024413528 rounded to 6 decimal places? -0.000002 Round -3.2163269 to 0 dps. -3 Round 63029.46 to the nearest ten thousand. 60000 Round 947878.908 to the nearest one hundred thousand. 900000 Round -8322553.188 to the nearest 100. -8322600 What is -0.1614525325 rounded to 5 dps? -0.16145 What is 53035463.2 rounded to the nearest one million? 53000000 What is 50136.668 rounded to the nearest one thousand? 50000 What is -112993.8034 rounded to the nearest ten thousand? -110000 What is -3120791.63 rounded to the nearest one hundred thousand? -3100000 Round -0.000105767528 to five decimal places. -0.00011 Round -0.0270806572 to 6 dps. -0.027081 Round -2536858098.7 to the nearest ten thousand. -2536860000 What is 527987435.1 rounded to the nearest one hundred thousand? 528000000 What is -0.000059147242 rounded to six dps? -0.000059 Round -0.205949543 to three decimal places. -0.206 What is 820.606898 rounded to the nearest 100? 800 Round -70244.0215 to the nearest ten. -70240 Round -5.7242009 to one decimal place. -5.7 Round -35054225.12 to the nearest one thousand. -35054000 What is -18721844.03 rounded to the nearest ten thousand? -18720000 What is -0.08649642716 rounded to four decimal places? -0.0865 What is -0.0610025113 rounded to five dps? -0.061 Round 131.4050855 to one dp. 131.4 What is -10.40849597 rounded to 3 decimal places? -10.408 What is 269043493.27 rounded to the nearest one hundred thousand? 269000000 Round 25729.4054 to the nearest one hundred. 25700 Round -449508.61 to the nearest one thousand. -450000 What is -17.772913 rounded to 1 decimal place? -17.8 Round 0.103963786 to five decimal places. 0.10396 What is -2363737.3 rounded to the nearest 1000000? -2000000 What is 0.00024495333 rounded to five decimal places? 0.00024 What is 561.9076189 rounded to one decimal place? 561.9 What is 276638.3034 rounded to the nearest 10000? 280000 What is -1.528357345 rounded to zero dps? -2 Round -1123788.81 to the nearest 1000. -1124000 What is 6185943.12 rounded to the nearest one hundred? 6185900 What is 0.01647385 rounded to four decimal places? 0.0165 What is 0.00308910035 rounded to four dps? 0.0031 Round -0.0429723803 to 6 decimal places. -0.042972 What is 0.00042110418 rounded to six decimal places? 0.000421 What is 1165316.99 rounded to the nearest one thousand? 1165000 Round -0.001285941304 to three dps. -0.001 What is 0.003450884623 rounded to five dps? 0.00345 What is -0.004097051486 rounded to 4 dps? -0.0041 Round -3.50233674 to four decimal places. -3.5023 Round 52.830448 to 3 decimal places. 52.83 What is 0.00273131372 rounded to seven dps? 0.0027313 What is 782466750 rounded to the nearest 1000000? 782000000 What is -38.3946127 rounded to 2 dps? -38.39 Round 0.1598148149 to four dps. 0.1598 Round -5155405.105 to the nearest one hundred thousand. -520
{ "pile_set_name": "DM Mathematics" }
ve h(g) = 0. 2, 4 What is n in -5/2*n**4 + 1/2*n**2 + 0 - n**5 - 3/2*n**3 + 1/2*n = 0? -1, 0, 1/2 Suppose 102 = 4*v + 2*k, -6*v + 2*v = -2*k - 98. Let n be (v/8)/(9/36). Suppose -41/2*u**2 + 45/2*u**4 - 1/2*u**3 - 2 + n*u**5 - 12*u = 0. What is u? -1, -2/5, 1 Suppose -g + 1 = 1. Let b(i) be the second derivative of 0*i**4 - 1/21*i**7 + 0*i**2 + 1/10*i**5 + g*i**3 + 0 + 0*i**6 - 3*i. What is f in b(f) = 0? -1, 0, 1 Let h(u) = 3*u**2 - 69*u - 67. Let w(j) = 20*j**2 - 448*j - 436. Let z(r) = -32*h(r) + 5*w(r). Factor z(i). 4*(i - 9)*(i + 1) Factor -3/4*d**2 - 1/4*d**3 + d + 0. -d*(d - 1)*(d + 4)/4 Determine v so that -25*v - 17*v**2 + 11 + 22*v**2 + 9 = 0. 1, 4 Let f(a) = a**2 - 3*a + 1. Let q be f(3). Let x(g) = g**2 - 52 + 52 + 5*g. Let c(r) = -r**2 - r. Let p(s) = q*x(s) + 3*c(s). Determine h so that p(h) = 0. 0, 1 Let y(d) be the third derivative of -d**7/315 + 2*d**6/45 - 4*d**5/15 + 8*d**4/9 - 16*d**3/9 - 7*d**2. What is w in y(w) = 0? 2 Suppose -x + 3*y + 2*y = -14, -5*x = -4*y - 28. Suppose 7 + 9 = x*w. Find z such that -6*z**3 + z**4 + 3*z**4 + 10*z**2 + 2*z**5 - w*z - 6*z**4 = 0. -2, 0, 1 Let g be 2/24 + 3/12. Let f = 1/142 + 281/426. Factor f - 2/3*u**2 - 1/3*u + g*u**3. (u - 2)*(u - 1)*(u + 1)/3 Let 0 + 2/3*q + 0*q**2 - 2/3*q**3 = 0. What is q? -1, 0, 1 Let w(k) = k**5 + 2*k**4 - 4*k**2 + k - 2. Suppose 4 = 3*u - 5. Let g(q) = -q**5 - 2*q**4 + 5*q**2 - 2*q + 3. Let z(n) = u*w(n) + 2*g(n). Factor z(x). x*(x - 1)*(x + 1)**3 Factor 21/2*t + 147/4 + 3/4*t**2. 3*(t + 7)**2/4 Factor -1/3*h**3 + h**2 + 1/3 - h. -(h - 1)**3/3 Suppose 24*p = 43 + 5. What is l in l**5 - 1/4*l + 5/4*l**p - 3/4*l**3 - 5/4*l**4 + 0 = 0? -1, 0, 1/4, 1 Let k(n) be the third derivative of 0 + 2/75*n**5 + 0*n + n**2 + 1/60*n**4 + 0*n**3. Factor k(h). 2*h*(4*h + 1)/5 Determine o so that 1/5*o**2 + 1/5 - 2/5*o = 0. 1 Suppose -3*t + 28 + 1 = 5*k, 0 = -5*t - 3*k + 43. Let u = 11 - t. Find j such that 0*j - 4/7*j**2 + 2/7*j**4 + 0 - 2/7*j**u = 0. -1, 0, 2 Let u(r) = -4*r + 8. Let d(p) = p - 3. Let t(m) = 7*d(m) + 2*u(m). Let y be t(-7). Suppose -3*c**2 + 2*c**y + 2*c**2 = 0. Calculate c. 0 Let l(h) = -h**2 - 4*h + 1. Let u be l(5). Let n be (-2)/4 + u/(-24). Suppose 14/3*f - 4/3 - n*f**2 - 2*f**3 = 0. What is f? -2, 1/3, 1 Let n(s) be the second derivative of -5*s**4/12 + 5*s**3/2 + 10*s**2 + 3*s + 3. Let n(f) = 0. What is f? -1, 4 Let z = 80 + -136. Let j be z/(-60) - 6/10. Find u, given that 0 + j*u**2 + 0*u = 0. 0 Let q(v) be the third derivative of -v**7/1680 + v**6/320 - v**5/240 - 2*v**2. Solve q(o) = 0 for o. 0, 1, 2 Let v(q) = q**2 + 13*q + 4. Let s be v(-13). Factor -3 + 0*t**3 + 2*t**3 + 0*t**2 - 1 - 2*t + s*t**2. 2*(t - 1)*(t + 1)*(t + 2) Let a(x) be the first derivative of x**3/6 - x/2 - 14. Determine m, given that a(m) = 0. -1, 1 Let w = -32 + 5. Let r be (1 + 2)*w/(-45). Suppose -2/5*z - r*z**2 + 0 = 0. What is z? -2/9, 0 Let k(w) be the second derivative of 3*w**5/20 - w**4/2 - 13*w. Factor k(g). 3*g**2*(g - 2) Let z(i) = -i**2 - 8*i. Let s be z(-7). Suppose s*l**3 - 3 - l**3 + 12*l**2 + 0*l**2 - 4*l**4 - 6*l**5 - 5*l**4 = 0. What is l? -1, 1/2, 1 Let j(q) = -q - 80. Let z be j(0). Let t be z/45 - (-3 + 1). Determine y so that 0*y**2 + 0 - 2/9*y + t*y**3 = 0. -1, 0, 1 Let w = -15194405567/1212 + 12536639. Let g = w + 2/303. Factor 0*t - g + 3/4*t**2. 3*(t - 1)*(t + 1)/4 Let s(z) = z**2 + 11*z - 60. Let g be s(-15). Factor -5/3*n**3 - n**2 + g + 2/3*n. -n*(n + 1)*(5*n - 2)/3 Suppose -5*b - 5*y = -10*y + 20, 0 = -3*b + 4*y - 16. Factor 0*l + b - 3/2*l**4 - 3/2*l**5 + 3/2*l**2 + 3/2*l**3. -3*l**2*(l - 1)*(l + 1)**2/2 Let h(m) = -2*m**5 + 4*m**4 + 10*m**3 - 4*m**2 - 4*m. Let b(v) = -v**5 - v**3 + v. Let x(w) = -4*b(w) - h(w). What is q in x(q) = 0? -1, 0, 2/3, 1 Let o(t) be the third derivative of -1/200*t**6 + 0*t**3 - 1/150*t**5 + 0 + 7*t**2 + 0*t + 1/210*t**7 + 0*t**4. Factor o(f). f**2*(f - 1)*(5*f + 2)/5 Let z(x) be the first derivative of -x**8/80 - 2*x**7/35 - 11*x**6/120 - x**5/20 + x**3 + 2. Let t(n) be the third derivative of z(n). Factor t(r). -3*r*(r + 1)**2*(7*r + 2) Let o(i) be the second derivative of i**5/4 - 5*i**4/6 + 5*i**3/6 + 12*i. Factor o(d). 5*d*(d - 1)**2 Let b(p) be the third derivative of p**8/168 + 8*p**7/105 + p**6/3 + 8*p**5/15 - 12*p**2. Factor b(y). 2*y**2*(y + 2)**2*(y + 4) Let u(d) be the first derivative of -2/15*d**5 + 1/9*d**6 - 1/6*d**4 + 0*d + 0*d**2 + 2/9*d**3 - 5. Factor u(v). 2*v**2*(v - 1)**2*(v + 1)/3 Suppose -432 = -2*x - x. Let l be (-4)/(-18) + 40/x. Let -1/4*a**2 + l*a - 1/4 = 0. Calculate a. 1 Let s be (-4 + 2/(-2 + 3))/(-1). Let j = -9/2 + 5. Find l, given that -1/2*l**s - l - j = 0. -1 Let v(u) be the first derivative of u**6/3 - u**4 + u**2 + 1. Suppose v(f) = 0. Calculate f. -1, 0, 1 Let k be (-2)/(20/6 - 4). Let g(u) = 4*u**2 - 3*u + 1. Suppose 1 = 2*i + 5. Let c(o) = 5*o**2 - 4*o + 2. Let z(h) = i*c(h) + k*g(h). Factor z(m). (m - 1)*(2*m + 1) Factor 5 + 5*q**4 + 0*q**4 + 20*q + 20*q**3 + 16*q**2 + 14*q**2. 5*(q + 1)**4 Let t = 12 + -23/2. Factor -t*z**4 + 1/2*z**3 + 0 + 1/2*z**2 - 1/2*z. -z*(z - 1)**2*(z + 1)/2 Let p(f) be the third derivative of 0 - 1/36*f**4 + 0*f + 0*f**3 + f**2 - 1/90*f**5. Factor p(r). -2*r*(r + 1)/3 Let j(w) be the first derivative of 21/5*w**5 + 27/2*w**2 + 2 - 6*w - 27/4*w**4 - 5*w**3. Factor j(f). 3*(f - 1)**2*(f + 1)*(7*f - 2) Let y = 9 + -9. Let m = y - -5. Solve 3*k**3 - 1 - m*k**2 - 3*k + 4*k**2 - 4*k**3 - 2*k**2 = 0 for k. -1 Let l = -879 + 14947/17. Let p = 40/119 + l. Let 2/7*z**5 + 4/7*z**2 + 2/7 - 6/7*z + p*z**3 - 6/7*z**4 = 0. What is z? -1, 1 Let c be -1*5*4/(-30). Let d be (11 + (-803)/66)*8/(-14). Find a such that c*a**2 - 2/3*a - d + 2/3*a**3 = 0. -1, 1 Let o(c) be the first derivative of 2/3*c**4 + 1 + 0*c + 0*c**2 + 2/9*c**5 + 8/27*c**3. Factor o(j). 2*j**2*(j + 2)*(5*j + 2)/9 Factor -108*s - 46*s**3 - 18*s**2 + 20*s**3 + 25*s**3 - 216. -(s + 6)**3 Let m = -142/9 + 148/9. Factor 1/3*d**2 + 1/3 - m*d. (d - 1)**2/3 Let m(q) = -q - 1. Let k be m(-1). Let l(z) be the first derivative of k*z**2 + 1 - 1/12*z**3 + 1/4*z. Factor l(o). -(o - 1)*(o + 1)/4 Let j be 0 + -3*(-12)/81. Factor -2/9 + 2/9*h + j*h**2. 2*(h + 1)*(2*h - 1)/9 Let z(p) be the first derivative of -p**6/420 - p**5/70 - p**4/28 - p**3/21 - 3*p**2/2 - 3. Let o(b) be the second derivative of z(b). Factor o(w). -2*(w + 1)**3/7 Factor -n**5 - 3*n**4 - 14*n**3 + 8*n**3 + 4*n**3. -n**3*(n + 1)*(n + 2) Factor 5/4*c**4 - 7/4*c**2 - 3/4*c + 1/2 + 3/4*c**3. (c - 1)*(c + 1)**2*(5*c - 2)/4 Let l(a) be the third derivative of 1/66*a**4 - 5*a**2 + 0 - 1/330*a**5 + 0*a - 1/33*a**3. Factor l(u). -2*(u - 1)**2/11 Find i such that -2/9*i**2 - 10/9 - 4/3*i = 0. -5, -1 Let z = -295 - -3247/11. Factor 0*y**2 - 2/11*y**5 + z*y**4 + 0*y + 0*y**3 + 0. -2*y**4*(y - 1)/11 Let u(n) be the first derivative of 1/7*n**2 + 2/21*n**3 - 4/7*n - 4. Factor u(y). 2*(y - 1)*(y + 2)/7 Let f(l) = l**2 + 7*l + 9. Let j be f(-6). Solve -24*z + 15*z**j - 3*z**2 + 3*z**4 + 2*z**5 - 5*z**5 - 20 + 8 = 0. -1, 2 Let p(r) be the second derivative of -r**6/20 - 3*r**5/10 + r**4/4 + 3*r**3 - 27*r**2/4 + 5*r. Determine c, given that p(c) = 0. -3, 1 Let z(u) = 1. Let b(t) = -2*t**4 - 10*t**3 - 18*t**2 - 14*t - 9. Let i(v) = 2*b(v) + 10*z(v). Determine a, given that i(a) = 0. -2, -1 Let s(a) = 15*a**2 + 6*a - 12. Let j(l) = l**2 - 1. Let f(k) = 12*j(k) - s(k). Factor f(q). -3*q*(q + 2) Let f(z) be the first derivative of z**7/840 + z**6/180 + z**5/120 - z**3/3 + 1. Let v(k) be the third derivative of f(k). Factor v(d). d*(d + 1)**2 Let n be (0 + -3 - -2) + 3. Let l be n/(0 + -18)*-2. Find p, given that 0 - 2/9*p**4 + 2/9*p**2 + 2/9*p**3 - l*p = 0. -1, 0, 1 Suppose 3 = -60*g + 61*g. Let a(i) be the third derivative of -1/240*i**6 + 3*i**2 + 0*i**g + 0*i + 5/1344*i**8 + 0 + 0*i**4 - 1/280*i**7 + 0*i**5. Factor a(c). c**3*(c - 1)*(5*c + 2)/4 Let q(r) be the second derivative of -r**5/90 - 7*r**4/54 + 58*r. Find k such that q(k) = 0. -7, 0 Suppose -1 - 3 = -2*f. Let a = -8 - -11. Determine s, given that -4*s**2 + 2*s**f - 4*s**a + 3*s**3 = 0. -2, 0 Let o(h) = 7*h**2 - 2. Let s = 16 + -11. Let n(p) = -8*p**2 + 2. Let t(q) = s*n(q) + 6*o(q). Determine m so that t(m) = 0. -1, 1 Let f(q) be the second derivative of q**8/840 + q**7/210 + q**6/180 + q**3/3 + 3*q. L
{ "pile_set_name": "DM Mathematics" }
n - 8682 What is the m'th term of 21558, 43118, 64678, 86238? 21560*m - 2 What is the r'th term of 2192443, 4384883, 6577323, 8769763, 10962203? 2192440*r + 3 What is the x'th term of -196, -136, -14, 188, 488, 904, 1454? 3*x**3 + 13*x**2 - 212 What is the u'th term of -11501, -22503, -33505, -44507? -11002*u - 499 What is the w'th term of 16776, 16777, 16778, 16779? w + 16775 What is the l'th term of -20, -152, -476, -1082, -2060, -3500, -5492? -15*l**3 - 6*l**2 - 9*l + 10 What is the b'th term of 472, -233, -940, -1649? -b**2 - 702*b + 1175 What is the h'th term of -2477, -5019, -7561, -10103, -12645? -2542*h + 65 What is the y'th term of 52800, 52787, 52760, 52713, 52640, 52535, 52392, 52205? -y**3 - y**2 - 3*y + 52805 What is the m'th term of 6859392, 6859393, 6859394, 6859395? m + 6859391 What is the i'th term of 96, 98, 100, 102, 104? 2*i + 94 What is the p'th term of -53, -150, -241, -320, -381? p**3 - 3*p**2 - 95*p + 44 What is the w'th term of 19732, 39466, 59200, 78934, 98668, 118402? 19734*w - 2 What is the s'th term of -1149, -4621, -10423, -18567, -29065, -41929, -57171? -2*s**3 - 1153*s**2 + s + 5 What is the d'th term of 2811, 2676, 2541, 2406, 2271, 2136? -135*d + 2946 What is the q'th term of -976, -1193, -1782, -2929, -4820? -31*q**3 - 945 What is the c'th term of 26453, 105805, 238073, 423263, 661381, 952433, 1296425? c**3 + 26452*c**2 - 11*c + 11 What is the v'th term of -14175, -56533, -127135, -225987, -353095? -v**3 - 14116*v**2 - 3*v - 55 What is the y'th term of -2984, -2979, -2966, -2945, -2916? 4*y**2 - 7*y - 2981 What is the g'th term of 139, 581, 1327, 2377, 3731, 5389, 7351? 152*g**2 - 14*g + 1 What is the x'th term of 97, 113, 123, 133, 149, 177? x**3 - 9*x**2 + 36*x + 69 What is the m'th term of -881, -1773, -2655, -3521, -4365, -5181, -5963, -6705? m**3 - m**2 - 896*m + 15 What is the d'th term of -468, -960, -1482, -2028, -2592, -3168? d**3 - 21*d**2 - 436*d - 12 What is the j'th term of 3830459, 3830457, 3830455, 3830453? -2*j + 3830461 What is the p'th term of -10040, -10125, -10216, -10313? -3*p**2 - 76*p - 9961 What is the v'th term of -3423, -6852, -10281? -3429*v + 6 What is the v'th term of 7688, 8490, 9282, 10058, 10812, 11538, 12230, 12882? -v**3 + v**2 + 806*v + 6882 What is the t'th term of 248113, 248114, 248115, 248116, 248117? t + 248112 What is the r'th term of 2677, 3058, 3439, 3820, 4201? 381*r + 2296 What is the b'th term of -105825, -211650, -317475, -423300, -529125? -105825*b What is the a'th term of -1325, -10912, -36939, -87626, -171193, -295860, -469847, -701374? -1370*a**3 + 3*a + 42 What is the i'th term of -4848, -4820, -4768, -4686, -4568, -4408? i**3 + 6*i**2 + 3*i - 4858 What is the u'th term of -98732, -197482, -296232, -394982, -493732, -592482? -98750*u + 18 What is the g'th term of 27, 134, 321, 588? 40*g**2 - 13*g What is the r'th term of 727, 915, 1227, 1663? 62*r**2 + 2*r + 663 What is the j'th term of -2961, -2957, -2949, -2937, -2921, -2901, -2877? 2*j**2 - 2*j - 2961 What is the m'th term of 179, 196, 235, 308, 427, 604? 2*m**3 - m**2 + 6*m + 172 What is the h'th term of 34416, 68828, 103240, 137652, 172064, 206476? 34412*h + 4 What is the i'th term of -38480, -38490, -38514, -38558, -38628? -i**3 - i**2 - 38478 What is the f'th term of 641, 622, 569, 464, 289, 26, -343? -3*f**3 + f**2 - f + 644 What is the i'th term of 10571, 10566, 10561? -5*i + 10576 What is the f'th term of -832, -874, -900, -904, -880, -822, -724? f**3 + 2*f**2 - 55*f - 780 What is the m'th term of -13512, -13501, -13484, -13461, -13432, -13397, -13356? 3*m**2 + 2*m - 13517 What is the u'th term of 1583898, 1583899, 1583900, 1583901, 1583902? u + 1583897 What is the o'th term of -349040, -698070, -1047100, -1396130? -349030*o - 10 What is the b'th term of -1570, -3134, -4698? -1564*b - 6 What is the n'th term of -2411, -4923, -7435, -9947, -12459? -2512*n + 101 What is the w'th term of 2508, 9501, 21156, 37473, 58452, 84093? 2331*w**2 + 177 What is the z'th term of 152, 307, 470, 635, 796, 947? -z**3 + 10*z**2 + 132*z + 11 What is the g'th term of 102, 399, 950, 1803, 3006? 8*g**3 + 79*g**2 + 4*g + 11 What is the l'th term of 64, -309, -922, -1769, -2844, -4141, -5654, -7377? l**3 - 126*l**2 - 2*l + 191 What is the m'th term of 1178, 2706, 4582, 6800, 9354? -m**3 + 180*m**2 + 995*m + 4 What is the m'th term of 550, 538, 504, 436, 322? -2*m**3 + m**2 - m + 552 What is the h'th term of -336, -334, -290, -186, -4? 3*h**3 + 3*h**2 - 28*h - 314 What is the z'th term of -2074, -2459, -2854, -3265, -3698, -4159? -z**3 + z**2 - 381*z - 1693 What is the i'th term of -6405889, -12811783, -19217679, -25623577, -32029477, -38435379? -i**2 - 6405891*i + 3 What is the s'th term of -216, -211, -202, -189, -172, -151? 2*s**2 - s - 217 What is the a'th term of 16056, 32114, 48178, 64248, 80324, 96406, 112494? 3*a**2 + 16049*a + 4 What is the a'th term of -119, -203, -477, -1037, -1979, -3399? -16*a**3 + a**2 + 25*a - 129 What is the k'th term of -1912, -4533, -7156, -9781, -12408? -k**2 - 2618*k + 707 What is the r'th term of -292, -267, -204, -85, 108, 393, 788? 3*r**3 + r**2 + r - 297 What is the y'th term of 44036, 44039, 44044, 44051, 44060, 44071? y**2 + 44035 What is the p'th term of -267, -954, -2031, -3498, -5355? -195*p**2 - 102*p + 30 What is the n'th term of -318293, -318292, -318291, -318290? n - 318294 What is the q'th term of -1249, -1114, -887, -568, -157? 46*q**2 - 3*q - 1292 What is the c'th term of -164669, -164665, -164657, -164645, -164629? 2*c**2 - 2*c - 164669 What is the j'th term of -3436, -6719, -10016, -13327? -7*j**2 - 3262*j - 167 What is the u'th term of 11641, 11636, 11631, 11626? -5*u + 11646 What is the w'th term of -30363, -30373, -30395, -30435, -30499, -30593, -30723? -w**3 - 3*w - 30359 What is the l'th term of 1241, 2419, 3597, 4775, 5953? 1178*l + 63 What is the h'th term of -1353, -5419, -12201, -21699, -33913, -48843, -66489? -1358*h**2 + 8*h - 3 What is the f'th term of -28562, -57131, -85704, -114281, -142862, -171447, -200036? -2*f**2 - 28563*f + 3 What is the v'th term of 48, 179, 398, 705, 1100? 44*v**2 - v + 5 What is the a'th term of -5, 20, 61, 124, 215, 340, 505, 716? a**3 + 2*a**2 + 12*a - 20 What is the p'th term of 78, 154, 222, 270, 286, 258, 174? -2*p**3 + 8*p**2 + 66*p + 6 What is the i'th term of -1841, -7340, -16499, -29318, -45797, -65936, -89735? -1830*i**2 - 9*i - 2 What is the t'th term of 11890, 11881, 11870, 11857, 11842, 11825, 11806? -t**2 - 6*t + 11897 What is the p'th term of -5936, -5966, -6014, -6074, -6140, -6206? p**3 - 15*p**2 + 8*p - 5930 What is the s'th term of 7728, 8280, 8832, 9384, 9936, 10488? 552*s + 7176 What is the c'th term of -174673, -349315, -523959, -698605, -873253? -c**2 - 174639*c - 33 What is the v'th term of 900, 958, 1002, 1026, 1024, 990, 918, 802? -v**3 - v**2 + 68*v + 834 What is the o'th term of 228, 473, 716, 957, 1196, 1433, 1668? -o**2 + 248*o - 19 What is the g'th term of -19, 14, 83, 194, 353, 566, 839? g**3 + 12*g**2 - 10*g - 22 What is the q'th term of -51, 166, 739, 1848, 3673, 6394, 10191? 30*q**3 - 2*q**2 + 13*q - 92 What is the d'th term of -441, -390, -351, -330, -333, -366, -435, -546? -d**3 + 58*d - 498 What is the n'th term of -37327, -37328, -37329, -37330? -n - 37326 What is the m'th term of -1185, -2382, -3577, -4770, -5961, -7150? m**2 - 1200*m + 14 What is the q'th term of 415, 643, 821, 925, 931, 815? -4*q**3 - q**2 + 259*q + 161 What is the h'th term of 3933, 7901, 11943, 16095, 20393, 24873, 29571? 6*h**3 + h**2 + 3923*h + 3 What is the u'th term of 18087, 36174, 54261, 72348, 90435, 108522? 18087*u What is the f'th term of -17, -441, -865, -1289, -1713, -2137? -424*f + 407 What is the i'th term of 507, 402, 281, 138, -33, -238? -i**3 - 2*i**2 - 92*i + 602 What is the m'th term of -165, -1207, -4039, -9555, -18649? -149*m**3 - m**2 + 4*m - 19 What is the o'th term of 18, 93, 244, 489, 846, 1333, 1968, 2769? 3*o**3 + 20*o**2 - 6*o + 1 What is the h'th term of -51, -97, -191, -357, -619? -4*h**3 - 18*h - 29 What is the t'th term of 197, 851, 1939, 3461? 217*t**2 + 3*t - 23 What is the l'th term of -1141, -1192, -1243? -51*l - 1090 What is the i'th term of 30406, 60788, 91170, 121552, 151934? 30
{ "pile_set_name": "DM Mathematics" }
= 29 - 21. Calculate the lowest common multiple of 11 and c. 88 Suppose -2*k + s = -353, 0 = 2*k + 4*s - 270 - 78. What is the least common multiple of 288 and k? 3168 Let b = -4033/5 + 1580933/1960. Let r = 7983/1960 + b. Find the common denominator of r and -31/22. 154 Let h be (-12784)/(-10) + -1 - (-21)/35. Let s = -14084/11 + h. What is the common denominator of 0 and s? 11 Let w = -11904/5 + 1416266/595. Calculate the common denominator of 113/56 and w. 952 Let z = -168 + 5578/33. Find the common denominator of z and (-1)/(-6)*(-44)/(-6). 99 Let i(q) = 11*q**2 + 67*q - 11. Calculate the lowest common multiple of 6 and i(-7). 354 Let u be (8*-2)/((26/(-40))/(-13)). What is the common denominator of (-8)/u*206/3 and -47/14? 420 Let f = 8 - 4. Let p(z) = -z**2 + 6*z - 2. Let a(n) = n**2 + 8*n - 10. What is the smallest common multiple of p(f) and a(-10)? 30 Calculate the common denominator of 77/6 and (-24)/84 + (-371)/2646. 54 Let y be 2/4 + 1/2. Calculate the common denominator of (y/(-6))/(4/270) and 18/88*-18*(-39)/78. 44 Suppose g = -2*w + 53, -3*w = -16*g + 19*g - 87. Calculate the least common multiple of 36 and w. 72 Let k = 71 - 31. What is the smallest common multiple of k and (-60)/2*36/(-45)? 120 Suppose x = -2, 0 = -3*h + x + 3*x + 947. What is the common denominator of (-5)/15 + h/(-150) and -47/20? 100 Let w = -31 - -31. Suppose w = 3*p + z - 31, p = -p + 3*z + 17. What is the lowest common multiple of 4 and p? 20 Let u = -30 - -15. Find the common denominator of -10/9 and (u/(-12))/5 - 314/24. 18 Suppose 2*j = 2*z - 10, 0 = -5*z + 9*z - 3*j - 19. Suppose 3*y + 2*l - 7 = 23, y - 3*l = 10. What is the smallest common multiple of z and y? 20 Let b = -337127/38 + 8869. What is the common denominator of 59/30 and b? 570 What is the common denominator of 143/18 and -5 + (-7)/((-210)/283) - 6? 90 Suppose -101*q - 61*q + 486 = 0. Let v(g) = g**3 - g**2 - g + 102. Calculate the smallest common multiple of v(0) and q. 102 Let m = -45 - -63. What is the common denominator of 13/20 and m/(-230)*5/(-2)? 460 Find the common denominator of 53/2 and ((-28)/(-10) - 3)/((-630)/4325). 126 Suppose -22*l = -16*l - 18. Calculate the smallest common multiple of l and 11. 33 Suppose 3*k = -5*q + 1566, 5*k - 960 = -3*q + 10*k. What is the lowest common multiple of 30 and q? 630 Suppose -2*l - 2*a = -12, 0*a = 2*l + a - 9. Suppose 6 = l*i + 3. What is the common denominator of i/(-3) + (-49)/60 and -51/10? 20 Let h(g) = 4575*g + 3. Let o be h(3). Let n = 796245/58 - o. Let b = n + -742/87. Find the common denominator of -47/4 and b. 12 Let u = -14082 + 915372/65. Let v = -2749/130 + u. Calculate the common denominator of v and -45/14. 14 Let i be 2/3 - (-910)/(-1464). Let k = 8473/1220 - i. Calculate the common denominator of (166/(-6))/((-6)/(-9)) and k. 10 Suppose 3*l = -2*q + 48, 0 = 4*l - 2*l + 8. What is the lowest common multiple of q and 24? 120 Let z(b) = b**3 + b**2 + b + 72. Calculate the lowest common multiple of z(0) and 88. 792 Suppose 14*m - 36 = 11*m. Suppose 0 = -w - 75 + 89. What is the least common multiple of m and w? 84 Let f = -56 - -67. Let p = 7 - 5. Suppose -35 = -3*q - p*q. What is the least common multiple of f and q? 77 Suppose -18 = 2*j - 3*i, 2*j + 4*i + 8 = -10. What is the common denominator of -51/8 and (-33)/j*(-7)/(-21)? 72 Suppose 2*f - y = 6, 15 = 4*f + 4*y - 21. Suppose f*m - 4*u = 23, 2 = -m + 3*u - 0. What is the least common multiple of m and 8? 56 Let u(z) = z**2 + 10*z + 19. What is the lowest common multiple of u(-9) and 8/(-3)*(-1 + -5)? 80 Let z(v) = v**2 + 3*v - 1. Let f be (1 - (-4 - -9))*(-2 - -1). Find the common denominator of 33/8 and z(f). 8 Let r(i) be the second derivative of -i**4/6 + 13*i**3/3 + 4*i**2 + 41*i. What is the smallest common multiple of r(7) and 1? 92 Calculate the lowest common multiple of 22 and -3 - -5 - -2 - (5 - 51). 550 Let o = 11702 + -1544671/132. Calculate the common denominator of o and -23/132. 132 Suppose 4*b - 114 = -9*k, 21*k - 17*k = -5*b + 70. Calculate the least common multiple of 2*(-25)/6*-3 and k. 50 Let d be (-6)/(-4)*(-8)/6. Calculate the common denominator of (d/(-12))/(5/160) and 151/6. 6 Let o be (52/117)/((-4)/(-22414)). Let s = 447209/180 - o. Find the common denominator of -67/6 and s. 60 Find the common denominator of 49/24 and 2/(-7) - 8/12320*785. 264 Let p(t) = 8*t - 48. Let s be p(9). Let r = -57 + 35. Let m = s + r. Calculate the lowest common multiple of 22 and m. 22 Let y be (-62 + 9)*(-2)/(-3). Let x = 469/12 + y. Calculate the common denominator of -89/6 and x. 12 Let c(p) = p**3 - 4*p**2 + p + 7. Let f be c(5). Suppose -240 = f*o - 39*o. Suppose -3*g + 7*g = o. Calculate the common denominator of 14 and g. 1 Suppose -59*r + 62*r = 348. What is the lowest common multiple of 2 and r? 116 Let u(g) = -9*g + 12*g**2 - 4*g - 11*g**3 + 12*g**3. Let o be u(-13). Suppose -20 = -o*j - 2*j. What is the smallest common multiple of 1 and j? 10 Let a = -144927401/153 - -947286. Let g = 910/17 - a. Find the common denominator of g and -71/4. 36 Let g(f) = -f + 19. Suppose -78 = -8*k + 2*k. Calculate the smallest common multiple of 17 and g(k). 102 Suppose a = -2*a - 219. Calculate the common denominator of 15/4 and a*(10/3 - 3). 12 Let o = -242/3 + 71. Find the common denominator of o and -121/6. 6 Suppose 15*o - 6 = 14*o. Let t(k) = k**2 - 2*k - 7. What is the smallest common multiple of o + ((-4)/(-6) - (-10)/(-15)) and t(5)? 24 Let a(q) = 4*q - 10. Let s be a(7). Let x = s - 15. What is the smallest common multiple of x and 21? 21 Let h = 12328751/8 - 1538620. Let p = 2486 - h. Calculate the common denominator of -54/11 and p. 88 Let d = -8719/6 + 1445. What is the common denominator of 18/101 and d? 606 Let h(q) = -4*q - 1. Let j be h(-4). Let y = -5 + j. Calculate the smallest common multiple of y and 8. 40 Suppose 0 = -68*x + 361 + 537 + 190. Suppose -3*v + 57 + 39 = 0. Suppose -5*k + v = -k. What is the least common multiple of x and k? 16 Suppose -3*j + 4 = -5*j. Let n be -3 - ((-228772)/45756 - j). Let o = n - 720647/57195. Find the common denominator of o and -99/4. 20 Suppose -3*v - 8*v - 605 = 0. Let z = -40 - v. Let y = -645/2 + 1799/6. Find the common denominator of z and y. 3 Let g be 1/5 - (-67907392)/1640. Let p = 41410 - g. Let v = 1659/410 + p. Calculate the common denominator of v and -43/2. 10 Let m = 2620616/5 - 14143434812/26985. Let k = m + -14/257. Find the common denominator of k and -43/11. 231 Let n(c) = -c**3 + 9*c**2 + 3*c - 6. Let k(r) = r - 6 - r**2 - 2*r + 7. Let h(o) = -6*k(o) - n(o). What is the common denominator of 4/11 and h(3)? 11 Let s = 687399/55 + -12499. Find the common denominator of -54/55 and s. 55 Let n = -73 - -49. Find the common denominator of ((-2)/3)/(n/42) and 7/10. 30 Suppose -3*b - 29 = 3*v - 71, 16 = b + 2*v. What is the smallest common multiple of b and 69? 276 Let z = 45 + -26. Let v = -14 + z. Suppose -d + u = -v - 2, -11 = -d - 3*u. What is the smallest common multiple of d and 7? 56 Let p(u) = -4*u + 23. Let d be p(6). What is the common denominator of d/3 - 285/18 and 38/5? 30 Let j be 3/((1 - 2)*-1). Suppose 0*c + 2*w = c + 6, 0 = 5*c - j*w - 5. Let b = 19 - 17. What is the smallest common multiple of c and b? 4 Find the common denominator of 31/33 and (-5)/32*(-1100)/165. 264 Let i = 4278745/86 - 49754. Find the common denominator of i and 81/4. 172 Let b = 15 + -18. Let m be b + (11 - -3)/2. Suppose 0*o = -4*o - m*l + 108, o - 3*l = 7. What is the smallest common multiple of 2 and o? 22 Let c = 3373/192808 - 7/313. Let f = c - -4973/9240. Calculate the common denominator of f and -127/24. 120 Suppose 3*p = o - 6, 34 = o + 2*o - 5*p. Suppose -5*t + 480 = 5*s, -4*t = 5*s - 88 - 297. Suppose 5*n + 5 = t. What is the least common multiple of o and n? 18 Let h(u) = -u + 3. Let z be h(7). Let v be (-12)/z - 3 - -5. What is the least common multiple of (12/v)/((-12)/(-30)) and 5? 30 Suppose -4*h = 4*z, 4*z = -2*h + 3*h - 20. Suppose -j = j + 6, 2*p - h*j = 28. What is the lowest common multiple of p and 4? 8 Suppose 7*p - 42 = 98. Calculate the lowest common multiple of 140 and p. 140 Suppose 4*h + 2 = -2, -4*u - h = -83. Calculate the common denominator of (292/(-30))/((-56)/u) and -25/12. 60 Le
{ "pile_set_name": "DM Mathematics" }
ide 30305704? True Does 133 divide 48284320? True Is 13863970 a multiple of 502? False Is 3 a factor of 5297490? True Is 42421050 a multiple of 525? True Is 136573098 a multiple of 176? False Is 7 a factor of 7213976? True Is 81 a factor of 69359318? False Is 169 a factor of 18030330? False Is 289 a factor of 164463831? True Is 4 a factor of 1234096? True Is 123095148 a multiple of 4563? False Does 7 divide 74453071? True Is 945936600 a multiple of 2100? True Is 37773031 a multiple of 27? False Does 14 divide 5135198? False Is 22 a factor of 35895816? True Is 990474485 a multiple of 5005? True Does 68 divide 472348808? True Is 56136516 a multiple of 578? True Is 11307099 a multiple of 322? False Is 589150374 a multiple of 8? False Does 743 divide 6061324017? False Does 53 divide 295974735? False Is 288268172 a multiple of 32? False Is 54476160 a multiple of 34? True Is 273115160 a multiple of 13352? True Is 39857863 a multiple of 1023? False Does 47 divide 237186393? True Is 431 a factor of 508036493? False Does 416 divide 1163156048? False Does 45 divide 79550280? True Is 28501994 a multiple of 6? False Is 3244 a factor of 213053018? False Is 55 a factor of 26199130? False Is 5537424 a multiple of 393? False Is 11 a factor of 778319520? True Is 210 a factor of 43957674? False Does 15 divide 1320969405? True Is 248426072 a multiple of 12? False Is 81 a factor of 42683180? False Is 252 a factor of 6229188? True Does 943 divide 461872913? True Does 17 divide 31355055? True Is 6302595 a multiple of 6? False Does 333 divide 174117039? False Does 86 divide 1594230590? True Does 64 divide 3726108? False Is 88 a factor of 2926085888? True Does 38 divide 146384870? False Is 144325460 a multiple of 4608? False Is 542016014 a multiple of 6175? False Is 354 a factor of 36316789? False Is 185826049 a multiple of 101? False Is 18921978 a multiple of 783? True Is 6943116504 a multiple of 151? True Is 223 a factor of 859484146? False Is 24 a factor of 74798015? False Is 200383075 a multiple of 2285? True Does 16 divide 3410128? True Is 2057 a factor of 3789302550? True Does 761 divide 3184849? False Is 436273722 a multiple of 2274? True Is 13 a factor of 545584000? True Does 3714 divide 32708350? False Is 69 a factor of 8238896? False Is 90689899 a multiple of 2264? False Is 27370890 a multiple of 3398? True Is 30579165 a multiple of 7? False Does 370 divide 87258594? False Is 187 a factor of 1105820? False Is 679 a factor of 271476422? True Does 22 divide 54317340? True Is 26 a factor of 3391561056? True Is 469303658 a multiple of 184? False Is 1987227813 a multiple of 2697? True Is 176 a factor of 93631914? False Is 21 a factor of 23414874? True Is 288134284 a multiple of 112? False Is 5240452 a multiple of 26? False Is 397952830 a multiple of 1870? True Does 27 divide 137643003? True Is 85575076 a multiple of 40? False Is 116 a factor of 55025412? True Is 25 a factor of 44785900? True Is 15545020 a multiple of 28? False Is 35 a factor of 339195122? False Is 872 a factor of 101968050? False Does 2103 divide 271286451? False Is 17638912 a multiple of 64? True Is 22 a factor of 99429656? False Is 481 a factor of 28242836? False Is 942 a factor of 656273502? True Is 204 a factor of 234847248? True Is 176422302 a multiple of 3906? True Is 11 a factor of 806154656? False Is 177494423 a multiple of 1047? False Does 9 divide 57136860? True Is 5835998 a multiple of 217? True Does 6 divide 5019878? False Does 567 divide 31042575? False Is 2119 a factor of 1922981583? False Is 4914 a factor of 286764472? False Is 73691841 a multiple of 5? False Is 68121450 a multiple of 50? True Is 26839330 even? True Is 311 a factor of 68331144? False Is 554219922 a multiple of 186? True Is 12207 a factor of 4976651095? False Does 50 divide 127325014? False Is 20 a factor of 384556797? False Is 62 a factor of 901092376? True Is 181063820 a multiple of 145? True Does 60 divide 1703960460? True Is 1231909008 a multiple of 3743? False Does 585 divide 26867880? True Is 1462712166 a multiple of 18? True Is 167770760 a multiple of 151? False Is 107 a factor of 30180038? False Is 74549794 a multiple of 7? False Is 365801490 a multiple of 855? True Does 81 divide 10839825? True Is 464216197 a multiple of 2659? True Is 59 a factor of 619986101? True Is 38940270 a multiple of 717? True Is 4805 a factor of 1105318175? True Is 4598 a multiple of 121? True Is 63 a factor of 35954359? False Is 4197 a factor of 174487218? False Is 61688223 a multiple of 1853? True Is 1303 a factor of 2119910638? True Is 140 a factor of 20787785? False Is 359239410 a multiple of 1094? False Is 59219573 a multiple of 450? False Is 21198158 a multiple of 18? False Is 66317357 a multiple of 648? False Is 34400916 a multiple of 1259? True Does 29 divide 1309415583? False Does 3115 divide 97592950? True Is 4 a factor of 323623494? False Is 132849805 a multiple of 24? False Is 16968667 a multiple of 16? False Is 190032 a multiple of 6? True Is 2285 a factor of 55580340? True Does 8 divide 1117216033? False Does 59 divide 1063309886? False Is 159366269 a multiple of 107? False Is 14 a factor of 441147084? True Is 93498678 a multiple of 100? False Is 71 a factor of 3692? True Is 82911954 a multiple of 426? True Is 207767877 a multiple of 1036? False Does 194 divide 106462350? True Does 33 divide 424891305? False Is 102110529 a multiple of 8? False Does 17 divide 2468876? True Is 95 a factor of 70147876? False Is 1688451648 a multiple of 104? True Is 472368886 a multiple of 682? True Does 75 divide 7576575? True Does 188 divide 8652276? False Is 27869304 a multiple of 12? True Is 6247836 a multiple of 36? True Is 17 a factor of 1076667018? True Does 924 divide 11906974? False Is 293295872 a multiple of 64? True Is 4615 a factor of 20598830? False Does 4 divide 43548396? True Is 121 a factor of 258334426? False Does 44 divide 20165889? False Does 7 divide 357332062? False Is 388 a factor of 13565256? True Is 4 a factor of 38588436? True Is 51 a factor of 1337985? True Does 4 divide 540571? False Is 87968967 a multiple of 386? False Is 9 a factor of 30072292? False Does 23 divide 169903185? True Is 629967547 a multiple of 78? False Does 199 divide 65116183? True Does 73 divide 1066311? True Does 155 divide 857914149? False Is 277832921 a multiple of 103? True Is 10568094 a multiple of 398? True Is 181567680 a multiple of 492? True Is 475 a factor of 16513949? False Is 316066621 a multiple of 377? True Does 17 divide 11558594? False Is 238 a factor of 130433435? False Is 39 a factor of 39296460? False Is 379 a factor of 548413? True Does 5926 divide 2182196166? True Does 180 divide 271202860? False Is 5 a factor of 16423835? True Is 98368200 a multiple of 20? True Does 17 divide 85907093? False Is 25 a factor of 148263675? True Is 14 a factor of 15045651? False Does 9 divide 240526896? False Is 2664 a factor of 87602976? True Is 71 a factor of 68633499? True Is 21 a factor of 499824276? True Is 26 a factor of 57908? False Does 4 divide 6478988? True Is 17 a factor of 784321901? False Is 7704819 a multiple of 89? True Is 38 a factor of 52685754? False Is 2824 a factor of 139385456? False Does 195 divide 22196070? True Is 335055064 a multiple of 358? True Does 4018 divide 767438? True Does 1251 divide 60219387? True Does 3164 divide 1966698671? False Is 284 a factor of 465300006? False Is 896873495 a multiple of 35? True Is 39 a factor of 259383891? True Is 3458666709 a multiple of 14753? False Is 440 a factor of 722589? False Is 590 a factor of 20147027? False Does 3624 divide 91571232? True Is 484 a factor of 9046444? True Does 16 divide 12582064? True Is 186 a factor of 2183399333? False Is 4835 a factor of 614939475? True Does 24 divide 14501733? False Is 858 a factor of 65937124? False Is 368 a factor of 147306720? True Does 75 divide 52212414? False Does 413 divide 37504943? True Is 601 a factor of 733246444? True Is 71 a factor of 36477528? True Is 1073 a factor of 635323323? False Is 50412487 a multiple of 53? True Is 19843524 a multiple of 2? True Is 15 a factor of 49516110? True Is 40900272 a multiple of 56? True Does 21 divide 3096534267? False Is 92 a factor of 862233292? True Is 21 a factor of 1016857657? Fals
{ "pile_set_name": "DM Mathematics" }
ne 4*j(z) + 9*v(z). z**3 + 200*z Let x(j) = 3*j**3 + 5*j**2 - 5*j - 1. Let u be (35/7)/(-5) + 5. Let d(k) = 3*k**3 + 4*k**2 - 4*k - 1. Give u*x(f) - 5*d(f). -3*f**3 + 1 Let o(r) = 11609*r - 342. Let q(i) = -270*i + 8. What is -4*o(b) - 171*q(b)? -266*b Let c(w) = w. Let t(o) = 17*o - 2. Let j(p) = 18*p - 2. Let l(f) = 5*j(f) - 6*t(f). Suppose -4*n = 16, -2*n + 34 = 5*u + 2*n. Determine u*c(i) + l(i). -2*i + 2 Let g(n) be the second derivative of 7*n**4/6 + 17*n**3/6 - 5*n**2/2 + 446*n - 3. Let s(q) = -3*q + 2 - 5*q**2 - 3*q + 0*q. Give -4*g(o) - 11*s(o). -o**2 - 2*o - 2 Let z(u) = -1. Let r(c) = -6 + 39*c**2 + 43*c**2 - 84*c**2. What is r(p) + 2*z(p)? -2*p**2 - 8 Let h = 122 + -128. Let b(c) = -15*c**3 - 7*c**2 + 13*c + 13. Let u(r) = 7*r**3 + 3*r**2 - 6*r - 6. Determine h*b(k) - 13*u(k). -k**3 + 3*k**2 Suppose -20*o + 27 = -23*o. Let f(j) = -5*j - 3. Let c(m) = -21*m - 13. Calculate o*f(x) + 2*c(x). 3*x + 1 Let m(w) = -w**3 - 4*w**2 + 2*w. Let t(b) = -2*b - 19. Let y be t(-10). Let h = 4 + y. Let n(q) = q**3 + 3*q**2 - 2*q. Determine h*m(o) + 6*n(o). o**3 - 2*o**2 - 2*o Let z(j) = 159*j - 3. Let u(s) = 636*s - 14. Give -2*u(y) + 9*z(y). 159*y + 1 Let l(f) = -53*f**2 - 7*f - 3. Let j(n) = -33*n**2 - 5*n - 2. Let y(x) = 8*j(x) - 5*l(x). Let v(p) = 3*p**2 - 11*p - 2. Give 2*v(u) - 5*y(u). u**2 + 3*u + 1 Let x(h) = 9*h**3 + 2*h**2 + 20*h - 2. Let v(i) = -18*i**3 - 5*i**2 - 41*i + 5. What is 2*v(t) + 5*x(t)? 9*t**3 + 18*t Let k(w) = 18*w**2 - 10*w + 54. Let q(r) = 3*r**2 - 2*r + 11. What is 2*k(v) - 11*q(v)? 3*v**2 + 2*v - 13 Let y(s) = s - 3. Let o(h) = 2*h - 26. Let d be o(17). Let m be (68/(-10))/(d/40). Let f(x) = -6*x + 17. Calculate m*y(k) - 6*f(k). 2*k Let q(t) = t**2 - 3*t - 5. Let a(d) = d**2 - 2*d + 1. Let o(u) = 2*a(u) - q(u). Let p(c) = 4*c**2 - 4*c + 22. Calculate -10*o(x) + 3*p(x). 2*x**2 - 2*x - 4 Let o(g) = g. Let m(n) = -9*n - 7. Let s(w) = -m(w) + o(w). Let r(q) = 3*q - 1 + 0 + 4 - 1. Let z = -76 - -74. Calculate z*s(a) + 7*r(a). a Let n(u) be the first derivative of 21 - 17 - 3*u**2 - 2*u**2. Let r(o) = -o**3 + 4*o**2 + 2*o - 6. Let v be r(4). Let s(x) = 3*x. What is v*n(p) + 7*s(p)? p Let k(j) = 118*j - 6. Let d(u) = -59*u + 4. What is -5*d(r) - 3*k(r)? -59*r - 2 Let s be (-3)/(-4) - (-68)/16. Let n(x) = 4*x + 0*x**2 - 4 + x**2 - 3*x + s. Let b(m) = -4*m**2 - m. Determine -b(o) - 3*n(o). o**2 - 2*o - 3 Let q(d) = 9*d - 3. Let l(s) = -4*s + 1. Calculate 5*l(r) + 2*q(r). -2*r - 1 Let l(s) = s. Suppose 0*i = 2*i - 4. Let x = 3 + i. Let o(y) be the third derivative of -y**4/12 - 68*y**2. Give x*o(q) + 7*l(q). -3*q Let v(g) = 5*g - 4. Let i(z) = 4*z - 3. Suppose 0 = 2*p - 5*y + 12, 4*y = -y. Give p*v(c) + 7*i(c). -2*c + 3 Let u(x) = x**3 + 5*x**2 - 38*x + 5. Let y(i) = i**3 + 6*i**2 - 37*i + 6. What is 6*u(v) - 5*y(v)? v**3 - 43*v Let o(d) = -43*d**3 + 13*d**2 + 2*d. Let j(q) = -21*q**3 + 6*q**2 + q. Determine -13*j(n) + 6*o(n). 15*n**3 - n Let i(b) = -5*b - 1. Let u(q) = -4*q. Let d(p) = -2*i(p) + 3*u(p). Let f(x) = -112 + 38 + 6*x + 32 + 36. What is -16*d(z) - 5*f(z)? 2*z - 2 Let z(v) = 2*v + 167. Let g(j) = j + 1. Give g(x) - z(x). -x - 166 Let y(j) be the third derivative of -j**4/24 + j**3/6 + 329*j**2. Let z(b) = 10*b - 4. Let h(o) = -29*o + 12. Let g(q) = -4*h(q) - 11*z(q). Give g(d) + 5*y(d). d + 1 Let n = 24 - 17. Let o = -2 + n. Suppose x - 2*b = o, -x - b = 3 + 1. Let q(d) = -d. Let p(z) = -2*z - 2. Calculate x*p(s) + 3*q(s). -s + 2 Let b(a) = 2*a. Let c(f) = -f**3 - 516*f**2 - 6*f. Calculate 6*b(x) + 2*c(x). -2*x**3 - 1032*x**2 Let p(l) = -3*l**2 - 4*l + 1. Let b(k) be the third derivative of -k**5/60 - k**4/24 + 207*k**2. What is 6*b(j) - p(j)? -3*j**2 - 2*j - 1 Let z(k) = -4*k**2 - 7*k - 3. Let q(s) = -7*s**2 - 13*s - 5. Let m(g) = -8*g + 6. Let c be m(2). Let y be (-4)/c - (-187)/(-55). Determine y*q(w) + 5*z(w). w**2 + 4*w Let i(y) be the first derivative of -y**2/2 - 505. Let n(p) = 2*p. Suppose 0 = -5*s - 25, 0 = -4*g - g - s + 20. Let m = 4 + -1. What is g*i(f) + m*n(f)? f Let c(f) = 0 + 0 - 4 + 4*f + 5*f**2. Suppose 85*t + 185 = -70. Let l(s) = -4*s**2 - 3*s + 3. Determine t*c(p) - 4*l(p). p**2 Let n(s) = 673*s**3 - 6*s + 6. Let q(f) = 107682*f**3 - 959*f + 959. Calculate 959*n(r) - 6*q(r). -685*r**3 Let a(x) = -4*x**2 - x - 1. Let z(m) = 4*m**2 + 6*m + 4. What is -4*a(u) - z(u)? 12*u**2 - 2*u Let z(i) = -2*i + 0 - 1 + 3*i. Suppose -4*l + 0*l + 4 = 0. Suppose -3*h + 22 = -4*t, -5*h = -0*t - t - 14. Let q(s) = 3*s - 6. Calculate l*q(y) + t*z(y). -y - 2 Let v(g) = -17*g**3 - 80*g**2 - 11*g + 11. Let t(u) = 6*u**3 + 27*u**2 + 4*u - 4. Calculate -11*t(s) - 4*v(s). 2*s**3 + 23*s**2 Let o(h) = -16*h**3. Suppose -17*y + 52 = -13*y. Let a(x) = 19*x**3 - 37*x**3 + y*x**3. Suppose -3*w + 24 = -3*d, -2*w + 4*d - 10 = -4*w. Give w*a(m) - 2*o(m). -3*m**3 Let t(w) = 74*w**2 - 20*w**2 - 3*w - 19*w**2 - 7 + 3*w. Let b(l) = -23*l**2 + 5. Calculate -7*b(y) - 5*t(y). -14*y**2 Let l(i) = -5*i**3 + i**2 + 5*i - 3. Let b(r) be the second derivative of -r**5/5 + 2*r**3/3 - r**2 + r - 57. Give 3*b(m) - 2*l(m). -2*m**3 - 2*m**2 + 2*m Let t(x) = 5*x. Let p(a) = 988*a. Calculate p(l) - 182*t(l). 78*l Let l be 1/((6/14)/(-3)). Let a(o) = -o**2 + 3. Let q(m) = 5*m**2 - 7*m - 19. Let h(k) = -4*a(k) - q(k). Let s(f) = -f**2 + 4*f + 4. Determine l*s(n) + 4*h(n). 3*n**2 Let p(k) = -k**2 - 4*k - 1. Let b be ((-28)/35)/((-2)/(-10)). Let r be b/5 - (-147)/(-35). Let h(z) = -z**2 - 3*z - 1. What is r*p(u) + 6*h(u)? -u**2 + 2*u - 1 Let a(n) = 27*n + 11. Let o be (5 + -1)/4*4. Let s(x) = -9*x - 4. Calculate o*a(d) + 11*s(d). 9*d Let n = 33 + -29. Suppose -9 = n*s - 29. Let m = -29 - -28. Let w(j) = j**2 - j + 1. Let v(l) = l**3 + 5*l**2 - 5*l + 5. Give m*v(o) + s*w(o). -o**3 Let s(z) = -z**3 - 2*z**2 + z - 3. Let l(n) = n**3 + 5*n**2 - 2*n + 7. What is 4*l(p) + 9*s(p)? -5*p**3 + 2*p**2 + p + 1 Let q(p) be the second derivative of p**3/6 - 9*p**2/2 - 39*p. Let a(j) = -5. What is 5*a(g) - 3*q(g)? -3*g + 2 Let a(s) = -7*s - 2. Let z(w) = -15*w - 9 + 8 - 9*w + 18*w. Give -4*a(g) + 5*z(g). -2*g + 3 Let g(i) = i + 2. Let q(d) = 3*d + 2. Let c(s) = -2*g(s) + q(s). Let w(f) = f + 1. Determine c(h) - 2*w(h). -h - 4 Let y(g) = 510*g**3 - 2*g. Let j(b) = 458488*b**3 - 1799*b. Give -2*j(h) + 1799*y(h). 514*h**3 Let z(b) = -b**3 - 7*b**2 + 13*b - 3. Let t(j) be the first derivative of -j**4/4 - 5*j**3/3 + 9*j**2/2 - 2*j - 108. What is 7*t(h) - 5*z(h)? -2*h**3 - 2*h + 1 Let s(j) = 7*j**3 - 54*j**2 + 8*j - 11. Let n(l) = -5*l**3 + 36*l**2 - 5*l + 7. What is 8*n(o) + 5*s(o)? -5*o**3 + 18*o**2 + 1 Let s(k) = 8*k**2 - 3*k - 6. Let o(g) = -g**2 + g + 1. Let h be (-45)/(-27)*-3 - 0/(-2). Calculate h*o(r) - s(r). -3*r**2 - 2*r + 1 Let j(r) = 2*r**3 - 3*r - 5. Let g(o) = -2*o**3 + 4*o + 6. Determine -3*g(y) - 4*j(y). -2*y**3 + 2 Let y(u) = -21*u - 15. Let w(b) = -4 + 3 + 12*b - 13*b. Give 15*w(t) - y(t). 6*t Let j(k) = -k**2 + k - 1. Let v be 20/(-6) - (-4)/12. Let u be (1/(v/2))/((-12)/(-18)). Let m(p) = 7*p**2 - 7*p + 3. Give u*m(i) - 5*j(i). -2*i**2 + 2*i + 2 Let h(a) = -15*a**2 + 4*a + 4. Let r(q) = -56*q**2 + 47*q + 11. Let v(i) = 615*i**2 - 525*i - 120. Let o(b) = 45*r(b) + 4*v(b). Calculate -15*h(j) + 4*o(j). -15*j**2 Let c(o) = -o**3 + o**2 - 2*o + 10. Let w be c(0). Let v(q) = 4 + w - 7 + q. Let f(n) be the third derivative of n**3/6 + 2*n**2. Calculate 6*f(j) - v(j). -j - 1 Let h(q) = -4*q - 1. Let f = 2/343 + 339/686. Let s(a) be the first derivative of -f*a**2 + 0*a - 3. Calculate -2*h(b) + 7*s(b). b + 2 Let t(x) be the first derivative of -x**3 - 1. Let h(l) = 3*l**2. Let g = -48 + 55. Suppose g*c = 7 - 28. Give c*t(i) - 4*h(i). -3*i**2 Let w(q) be the first derivative of -5*q**2/2 - 4*q + 8. Let g(c) = 2*c**2 + 3*c - 2. Let x be g(-3). Let j(i) = -6*i - 5. Determine x*w(t) - 6*j(t). t + 2 Let d(x) = 21*x**2 + 5*x. Let m(k) = -10*k + 125. Let v be m(13). Let g(i) = -31*i**2 - 7*i. Give v*g(n) - 7*d(n). 8*n**2 Let d(n) = -10*n + 18*n - 9*n. Let c(l) = -2*l + 2. Calculate c(k) + 3*d(k). -5*k + 2 Suppose -463*m + 459*m = -44. Let r(g) = -9*g**3 - 11*g**2 + 11*g - 11. Let i(t) = -5*t**3 - 6*t**2 + 6*t - 6. Give m*i(o) - 6*r(o). -o**3 Suppose -5 = i - v, -5*v - 19 + 40 = -3*i. Let l(k) = -7*k**2 + 3. Let o(b) = 6*b**2 - 2. Give i*l(u) - 3*o(u). -4*u**2 Let u(y
{ "pile_set_name": "DM Mathematics" }
cked without replacement from bbbbbb. 1 Calculate prob of picking 3 b when three letters picked without replacement from cbhcbhbbbhhhchbbchc. 35/969 Calculate prob of picking 3 t when three letters picked without replacement from wwttwwwwtw. 1/120 Two letters picked without replacement from yydyqydqyydyqqqyq. What is prob of picking 2 d? 3/136 Two letters picked without replacement from fmncnccnmfcfcnmnccn. Give prob of picking 1 f and 1 m. 1/19 Two letters picked without replacement from {x: 1, k: 1, e: 1, r: 2, w: 1, b: 1}. Give prob of picking 1 e and 1 k. 1/21 Four letters picked without replacement from {o: 10, t: 1, l: 1, d: 6, r: 2}. What is prob of picking 1 o, 1 l, and 2 d? 10/323 Three letters picked without replacement from {x: 9, o: 3, j: 2, e: 2}. Give prob of picking 1 x and 2 e. 9/560 Two letters picked without replacement from {m: 1, i: 3, a: 3, k: 2, v: 1, l: 1}. What is prob of picking 1 i and 1 m? 3/55 Three letters picked without replacement from {z: 7, y: 1, e: 7, v: 1, s: 1}. Give prob of picking 1 v and 2 z. 21/680 Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {c: 2, z: 2, p: 5, h: 4}. 4/39 What is prob of picking 1 p, 1 f, and 1 d when three letters picked without replacement from {d: 1, p: 1, f: 2}? 1/2 What is prob of picking 1 l, 1 h, and 1 j when three letters picked without replacement from whhhwlwwjh? 1/30 Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {t: 1, v: 1, w: 1, o: 1, b: 1}. 1/10 What is prob of picking 2 r and 1 p when three letters picked without replacement from sgsrsegegrggrrgprp? 5/204 Calculate prob of picking 1 o, 1 c, 1 f, and 1 d when four letters picked without replacement from ecfdpodfpfedffopofp. 9/646 Calculate prob of picking 2 h and 1 d when three letters picked without replacement from {o: 10, h: 8, d: 1}. 28/969 Calculate prob of picking 1 h and 2 l when three letters picked without replacement from {l: 2, h: 1, m: 2}. 1/10 Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {z: 2, j: 2, k: 9, p: 5}. 10/153 Two letters picked without replacement from {n: 1, u: 2}. What is prob of picking 1 u and 1 n? 2/3 Two letters picked without replacement from {f: 1, r: 1, k: 1, i: 1, c: 2, h: 1}. What is prob of picking 1 k and 1 h? 1/21 What is prob of picking 1 u, 1 i, and 1 c when three letters picked without replacement from lulxxcliuuualau? 1/91 What is prob of picking 1 m and 1 w when two letters picked without replacement from {m: 3, w: 3}? 3/5 Calculate prob of picking 1 f and 1 d when two letters picked without replacement from fdu. 1/3 What is prob of picking 1 y, 1 e, and 1 b when three letters picked without replacement from {y: 2, e: 2, b: 8}? 8/55 What is prob of picking 1 b and 3 v when four letters picked without replacement from bbvvvvvvv? 5/9 Three letters picked without replacement from bbbbbbbbiibbb. What is prob of picking 2 b and 1 i? 5/13 Two letters picked without replacement from evvxmxeveeex. What is prob of picking 1 v and 1 m? 1/22 Three letters picked without replacement from {y: 9, d: 4, o: 6}. What is prob of picking 1 o and 2 d? 12/323 Three letters picked without replacement from {o: 7, h: 4, e: 5, l: 2}. Give prob of picking 1 o, 1 h, and 1 l. 7/102 Three letters picked without replacement from ffeeenhwhefehjeej. Give prob of picking 2 j and 1 n. 1/680 What is prob of picking 1 r and 1 t when two letters picked without replacement from {y: 1, z: 3, r: 5, t: 1, q: 4}? 5/91 Two letters picked without replacement from {d: 4, k: 3, b: 1, p: 1, w: 4}. What is prob of picking 1 p and 1 d? 2/39 Four letters picked without replacement from {s: 5, k: 9}. Give prob of picking 3 s and 1 k. 90/1001 What is prob of picking 1 a and 1 z when two letters picked without replacement from zzmwzmmammzzmww? 1/21 Three letters picked without replacement from {k: 1, y: 1, c: 1, l: 1, r: 1, e: 2}. What is prob of picking 1 c, 1 y, and 1 e? 2/35 Calculate prob of picking 1 u, 1 f, and 1 i when three letters picked without replacement from {f: 3, h: 1, u: 1, i: 1, z: 1}. 3/35 What is prob of picking 1 z and 1 m when two letters picked without replacement from emmzzzz? 8/21 Three letters picked without replacement from {q: 1, v: 1, w: 1, n: 1, a: 8}. Give prob of picking 1 q, 1 w, and 1 v. 1/220 What is prob of picking 1 u, 1 o, and 1 j when three letters picked without replacement from uajjuujajajjo? 9/143 Four letters picked without replacement from cvvvcbxwwvwbvccv. Give prob of picking 2 c, 1 w, and 1 v. 27/455 What is prob of picking 1 x and 1 d when two letters picked without replacement from ooxorrodokkoooyooor? 1/171 Calculate prob of picking 2 i and 1 h when three letters picked without replacement from {b: 1, q: 1, h: 6, k: 5, i: 6, e: 1}. 3/38 Two letters picked without replacement from nkqqkkqqkkkqqqssqq. Give prob of picking 1 k and 1 s. 4/51 Two letters picked without replacement from oov. Give prob of picking 2 o. 1/3 Three letters picked without replacement from mqqpmlplqqm. What is prob of picking 1 q and 2 p? 4/165 Four letters picked without replacement from {h: 3, l: 3, b: 1, p: 7}. What is prob of picking 3 p and 1 l? 15/143 Three letters picked without replacement from {c: 2, y: 4}. What is prob of picking 1 c and 2 y? 3/5 Calculate prob of picking 2 n when two letters picked without replacement from jnnijnc. 1/7 Three letters picked without replacement from {s: 4, h: 2}. Give prob of picking 2 s and 1 h. 3/5 Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {q: 2, o: 2, h: 2, x: 1, w: 1}. 1/14 What is prob of picking 2 o and 1 r when three letters picked without replacement from {r: 8, o: 2}? 1/15 Four letters picked without replacement from {b: 3, q: 2}. Give prob of picking 2 q and 2 b. 3/5 Three letters picked without replacement from xxxxxvvxxvxxxxxxxx. What is prob of picking 3 x? 455/816 Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {o: 12, q: 3}. 12/35 What is prob of picking 2 h and 2 d when four letters picked without replacement from dhdddhdhdd? 3/10 Two letters picked without replacement from {m: 1, b: 19}. What is prob of picking 2 b? 9/10 Two letters picked without replacement from ggyggggyggggg. What is prob of picking 2 g? 55/78 Three letters picked without replacement from {k: 1, v: 2, f: 4}. What is prob of picking 2 v and 1 k? 1/35 Two letters picked without replacement from nnhnnnjnnnnjnjnhn. What is prob of picking 2 n? 33/68 What is prob of picking 1 s and 1 j when two letters picked without replacement from hsjhhhshmhhhhjhjshs? 4/57 Four letters picked without replacement from wwwppwpzuwuwppwu. What is prob of picking 1 p and 3 u? 1/364 Three letters picked without replacement from lblllllbbblllllllll. What is prob of picking 3 b? 4/969 Four letters picked without replacement from eeuueuuuueu. What is prob of picking 1 u and 3 e? 14/165 Calculate prob of picking 1 l and 2 g when three letters picked without replacement from {g: 3, l: 2, i: 6, m: 2, p: 1, b: 5}. 2/323 Calculate prob of picking 1 o and 2 b when three letters picked without replacement from {o: 3, b: 2}. 3/10 Two letters picked without replacement from druhy. What is prob of picking 1 d and 1 h? 1/10 Three letters picked without replacement from {g: 1, q: 1, z: 1, e: 1, r: 1, a: 2}. Give prob of picking 1 g, 1 z, and 1 r. 1/35 Two letters picked without replacement from {k: 13, t: 5}. What is prob of picking 2 t? 10/153 Calculate prob of picking 3 l when three letters picked without replacement from llllll. 1 Four letters picked without replacement from {p: 4, d: 5, g: 6, t: 1}. What is prob of picking 1 t, 2 p, and 1 g? 9/455 Three letters picked without replacement from bbbezezebebvzee. Give prob of picking 1 v, 1 z, and 1 e. 18/455 Two letters picked without replacement from {u: 1, q: 4, b: 2, t: 1, z: 2}. What is prob of picking 1 t and 1 z? 2/45 What is prob of picking 1 k and 1 w when two letters picked without replacement from {k: 2, r: 1, o: 1, l: 7, w: 6}? 3/34 Three letters picked without replacement from {q: 15, m: 5}. What is prob of picking 3 q? 91/228 Calculate prob of picking
{ "pile_set_name": "DM Mathematics" }
y**3 wrt y? -42006*k*w + 6 What is the first derivative of -106*h**4*u**2 + 2*h**2*u**2 - h + 1078*u**2 wrt h? -424*h**3*u**2 + 4*h*u**2 - 1 What is the second derivative of -2*q**4 - 34*q**2 + 173*q? -24*q**2 - 68 What is the second derivative of 2*b**2*k**2*z**2 + 7*b**2*k*z**2 - 45*b*k - k**2 + z**2 wrt b? 4*k**2*z**2 + 14*k*z**2 Find the second derivative of m**5 - 127*m**3 + m**2 - 58*m + 6 wrt m. 20*m**3 - 762*m + 2 Differentiate 94*l**4*w**3 + 151*w**3 wrt l. 376*l**3*w**3 Find the third derivative of -5*g**3*y**3 - 2*g**3*y**2 - 2*g**3*y + 481*g**2*y - 8*g**2 - g*y**3 wrt g. -30*y**3 - 12*y**2 - 12*y What is the derivative of 84*j**2 - 10*j + 8836? 168*j - 10 What is the derivative of f*t - 1263*f - 487*t + 5 wrt f? t - 1263 What is the derivative of 77*m**4*n + 9*m**3*n + n + 332 wrt m? 308*m**3*n + 27*m**2*n Find the third derivative of 3*u**6 - 20*u**3 - 74*u**2 - 2*u. 360*u**3 - 120 Find the second derivative of 5*f**2*k**2 + 15*f**2*k + 2*f*k**3 + 10*f*k + k**3 wrt k. 10*f**2 + 12*f*k + 6*k Find the third derivative of -x**5 + 4*x**4 - 38*x**2 wrt x. -60*x**2 + 96*x What is the third derivative of 676*q**3 + 2155*q**2 wrt q? 4056 Find the second derivative of -20768*h**2 - 10*h - 106 wrt h. -41536 Find the third derivative of 918*o**3 + 4*o**2 - 376*o. 5508 Find the third derivative of -423*b**3*l**3*m + 15*b**3*l*m**2 + b**2*m**2 + 14*b*l**3*m**2 - 111*b*l*m**2 + 2*l wrt b. -2538*l**3*m + 90*l*m**2 What is the second derivative of 90*d**3*g**2*u - 4*d**3*g*u - d**2*g**2*u**3 - 2*d*g*u**3 + 5*g*u**3 wrt g? 180*d**3*u - 2*d**2*u**3 What is the second derivative of 52*p**4 + 2*p**2 + 1818*p wrt p? 624*p**2 + 4 What is the first derivative of -29*v*w + 96*v + 92*w wrt w? -29*v + 92 What is the second derivative of 219*m**5 - 62*m + 6 wrt m? 4380*m**3 What is the third derivative of -476*j**5 + 20*j**2 + 63? -28560*j**2 What is the second derivative of 26*o**3*s**2 - 5*o**3 + 4*o*s**5 - 48*o*s wrt s? 52*o**3 + 80*o*s**3 What is the derivative of -127*a**4 - 822 wrt a? -508*a**3 What is the third derivative of 2*t**5 + 75*t**3*u**3 - 11*t**2*u**2 - 2*t*u**3 wrt t? 120*t**2 + 450*u**3 What is the third derivative of -26*g**4*h**2 - g**4 - 2*g**3*h**3 - 34*g**2*h**3 + g**2*h**2 + 2*g**2*h wrt g? -624*g*h**2 - 24*g - 12*h**3 What is the third derivative of 15*t**4 - 11*t**3 + 399*t**2 wrt t? 360*t - 66 What is the second derivative of -260*r**2*t**2 + r**2*t - 2812*r**2 + 3*r*t**4 - r wrt t? -520*r**2 + 36*r*t**2 Find the second derivative of l*p**2 - l*p - 15*l + 4*p**4 + 2*p**2 - 4*p wrt p. 2*l + 48*p**2 + 4 Find the third derivative of d**6*x - 138*d**5*x**2 + 6*d**2 - 67*d*x**2 wrt d. 120*d**3*x - 8280*d**2*x**2 Differentiate 6*l**2*v**3 - 693*l**2*v + 10*l**2 + 2*l - 574 with respect to v. 18*l**2*v**2 - 693*l**2 What is the second derivative of -128*n**4*t + n**3*t + 2*n**2*t - 365*n - 19*t wrt n? -1536*n**2*t + 6*n*t + 4*t What is the third derivative of 74*h**3*n**2*w - h**3 - 2*h**2*n**2*w - 2*h*n**2*w + 6*h*n + 4*n - 7*w wrt h? 444*n**2*w - 6 What is the second derivative of 2348*m*n**2 - 2*m*n + 788*m + 3*n**4 - 1 wrt n? 4696*m + 36*n**2 Find the second derivative of 2381*j**4 - 75*j + 1. 28572*j**2 Find the third derivative of -48*t**3*y**4 + 3*t**3*y**3 - 2*t**3*y**2 + 18*t**3*y + t*y**2 wrt y. -1152*t**3*y + 18*t**3 What is the second derivative of -11*a**3*s + 38*a**2*s**3 - 2*a - 5267*s**3 wrt a? -66*a*s + 76*s**3 What is the derivative of -38*n**2*o + 4*n**2 + 13 wrt o? -38*n**2 Find the first derivative of b*i**2*m*r - 23*b*i*m - 2*b*i*r - 5*i**2*m*r - 3*i*m*r + 13*i*r wrt b. i**2*m*r - 23*i*m - 2*i*r Find the second derivative of -148*p**3 + 273*p. -888*p Differentiate 188*h**4 + 17. 752*h**3 What is the second derivative of 16797*s**2 + 18172*s wrt s? 33594 Find the second derivative of -35*r**2*u**3*y - 204*r**2*u*y + 3*r**2*u + r**2 - 38*r*u**2*y - u*y wrt u. -210*r**2*u*y - 76*r*y Find the second derivative of 23*s**3*u - 2*s**2*u - 2*s**2 + s*u + 141*s + 2*u wrt s. 138*s*u - 4*u - 4 What is the second derivative of b**3 - 935*b**2 + 16*b + 77? 6*b - 1870 Find the third derivative of 1080*i**5 - 4*i**4 + 2*i**3 + 19*i**2 - i - 6. 64800*i**2 - 96*i + 12 What is the third derivative of -495*k**3*z**4 - 2*k**3*z**3 - k**3*z**2 + 120*k**3*z wrt z? -11880*k**3*z - 12*k**3 Find the second derivative of 203*d*j**5 - 3290*d*j + 2*d + 3*j**5 - 2*j**3 wrt j. 4060*d*j**3 + 60*j**3 - 12*j Find the third derivative of 50*f**2*k**3 + 2*f**2*k**2 + f**2*k + f*k**4 + 25*f*k**3 + 4352*f*k**2 wrt k. 300*f**2 + 24*f*k + 150*f What is the derivative of -123*c*u**4 - c - 6*u**4 - 841 wrt u? -492*c*u**3 - 24*u**3 What is the third derivative of -u**4 - 999*u**3*y - 1398*u**2*y wrt u? -24*u - 5994*y Find the second derivative of 132*z**2 - 3*z - 57 wrt z. 264 Find the third derivative of -f*i*l**3 - 2*f*i*l**2 + 3*f*i + 74*f*l**3 + 156*f*l**2 - 2*i*l**4 wrt l. -6*f*i + 444*f - 48*i*l Differentiate -406*h**3*o - 15*h**3 - h + 3*o + 1 with respect to o. -406*h**3 + 3 Find the third derivative of -80*a**3 - a**2 - 318 wrt a. -480 Find the second derivative of 2*v**5 - 13*v**3 - v - 11 wrt v. 40*v**3 - 78*v Find the second derivative of 17*g**4*x**2 + 95*g**2*x**2 - 12*g*x**2 + g*x - 3*g wrt g. 204*g**2*x**2 + 190*x**2 Differentiate 325*m**2 - 179 with respect to m. 650*m Differentiate -3*b**3*h - 12*b**2*h + 44*b*h + 5*h + 22 with respect to b. -9*b**2*h - 24*b*h + 44*h What is the second derivative of 393*v**5 + 3*v - 64 wrt v? 7860*v**3 What is the derivative of 238*l**2 - l + 9 wrt l? 476*l - 1 What is the second derivative of 2*d*g**2*t - d*g*t + 37*d*t + 39*g**3*t**2 + t**2 wrt g? 4*d*t + 234*g*t**2 Find the second derivative of -5*u**3 + 6*u**2 + 39*u + 6. -30*u + 12 What is the third derivative of 3*l**6*w**2 - 292*l**4*w**2 + 1492*l**2*w**2 + 2*l**2 wrt l? 360*l**3*w**2 - 7008*l*w**2 What is the derivative of 2*p**4 - 625*p**3 - 924? 8*p**3 - 1875*p**2 What is the derivative of -645*i**2 + 19? -1290*i Find the first derivative of 23*p**3*q**2 + p**3*q + 293*p**3 - 6*p*q wrt q. 46*p**3*q + p**3 - 6*p Find the second derivative of 6*t**3 - 75*t**2 - 2753*t wrt t. 36*t - 150 Find the first derivative of -236*v**2 + 2*v + 4786. -472*v + 2 What is the first derivative of 17*c**2*w + 8*c**2 - 9*c*w + 6 wrt w? 17*c**2 - 9*c Differentiate -f*l**3 - 3*f*l**2 + 2*f*l + f + 200 wrt l. -3*f*l**2 - 6*f*l + 2*f What is the third derivative of -2693*o**3*w**4 - o**3 + 2*o**2*w**2 - 2*o**2*w + 168*o*w wrt w? -64632*o**3*w What is the third derivative of 149*n**4 + 2*n**3 - 69*n**2 - 1 wrt n? 3576*n + 12 What is the derivative of 484*a*p - 919*p + 5 wrt a? 484*p Find the first derivative of -5359*b**4 - 5314. -21436*b**3 What is the second derivative of 6*n**2*q**3 + 369*n**2*q - 26*n*q**3 wrt q? 36*n**2*q - 156*n*q Find the second derivative of -5*j**5 - 2*j**4 + 212*j wrt j. -100*j**3 - 24*j**2 Find the second derivative of 2*c**3*h**2 + c**3*h - 200*c**2*h**2 - 5*c**2*h + 4*c*h**2 + 3*c*h - 58*h wrt h. 4*c**3 - 400*c**2 + 8*c What is the second derivative of 238*f**3*j**2 + f**3*p + 9*f**2*j**2*p**3 + 25*f**2*j*p**2 - f**2*j*p - 2*f*j*p**3 wrt j? 476*f**3 + 18*f**2*p**3 What is the second derivative of 81*p**3 + p**2 - 7*p - 4 wrt p? 486*p + 2 Differentiate -256*a*o**2*u + 19*a + 5*o**2*u + 3*o*u + 24*u with respect to o. -512*a*o*u + 10*o*u + 3*u What is the derivative of 549*f**4 + 273? 2196*f**3 What is the third derivative of -d**4*u - 2*d**4 + 2*d**3*u + 2*d**2*u - 87*u wrt d? -24*d*u - 48*d + 12*u What is the derivative of 4*b*s*v + 167*b*s - b*v**2 + 4*b + 334*s*v**2 - 2*s - 3*v**2 wrt b? 4*s*v + 167*s - v**2 + 4 What is the second derivative of 1524*t**2 + 1082*t? 3048 What is the second derivative of -2*x**4 - 50*x**2 - 17600*x? -24*x**2 - 100 Find the first derivative of 2*q*s**3 + 53*q + 94*s + 4 wrt s. 6*q*s**2 + 94 What is the second derivative of 2*c**3*i**2 + 3*c**3*i - c**3 + 2*c*i**2 + 3*c*i + 4*c wrt c? 12*c*i**2 + 18*c*i - 6*c What is the third derivative of -10774*f**4*k - 4*f**2*k + 390*f*k - f wrt f? -258576*f*k Find the second derivative of -148*c*j*o + c*o**5 + 3*c*o**2 - 2*j*o**2 + j*o - 27*j + 57*o**3 wrt o. 20*c*o**3 + 6*c - 4*j + 342*o What is the derivative of -92*i**3*y + 307*i**3 - 4*i**2*y - i wrt y? -92*i**3 -
{ "pile_set_name": "DM Mathematics" }
i? 1/182 Calculate prob of picking 3 f when three letters picked without replacement from {f: 9}. 1 Two letters picked without replacement from mxmmx. What is prob of picking 2 x? 1/10 Four letters picked without replacement from {u: 4, o: 2, z: 12, p: 1}. Give prob of picking 1 z and 3 u. 4/323 Two letters picked without replacement from {f: 3, u: 4, l: 1, i: 6, d: 1}. Give prob of picking 1 l and 1 d. 1/105 Two letters picked without replacement from {s: 4, x: 5, l: 1, t: 1, a: 1}. What is prob of picking 1 x and 1 t? 5/66 Calculate prob of picking 2 c when two letters picked without replacement from ccczzzzczczzzz. 10/91 Calculate prob of picking 2 n when two letters picked without replacement from ntbjbjnbnnb. 6/55 Two letters picked without replacement from {u: 1, s: 3, p: 7, i: 5}. What is prob of picking 1 i and 1 s? 1/8 Calculate prob of picking 1 c and 1 p when two letters picked without replacement from ppddcpdcp. 2/9 Three letters picked without replacement from lileeiiielll. What is prob of picking 2 i and 1 l? 3/22 What is prob of picking 3 x when three letters picked without replacement from {x: 9, p: 5}? 3/13 Four letters picked without replacement from {y: 2, p: 7, j: 4}. What is prob of picking 4 p? 7/143 What is prob of picking 1 t and 1 f when two letters picked without replacement from kfrrktg? 1/21 What is prob of picking 4 z when four letters picked without replacement from zzzzzzwzzww? 7/33 Four letters picked without replacement from hihihkkdkhhdhciridi. Give prob of picking 1 c, 1 i, and 2 k. 5/1292 What is prob of picking 4 m when four letters picked without replacement from mmmm? 1 Calculate prob of picking 4 m when four letters picked without replacement from meemmmemmemmemmm. 33/182 Two letters picked without replacement from {m: 1, n: 2, u: 2, i: 1, c: 1}. What is prob of picking 1 m and 1 u? 2/21 Calculate prob of picking 1 g and 1 j when two letters picked without replacement from {t: 1, x: 4, j: 1, g: 2}. 1/14 Two letters picked without replacement from uxuussksnukks. What is prob of picking 1 u and 1 s? 8/39 What is prob of picking 2 t and 1 g when three letters picked without replacement from {g: 14, x: 1, t: 2}? 7/340 What is prob of picking 2 l and 1 b when three letters picked without replacement from lqqbgblqbqb? 4/165 Two letters picked without replacement from {d: 8, v: 5, x: 2}. Give prob of picking 2 x. 1/105 Calculate prob of picking 1 o, 1 h, 1 c, and 1 u when four letters picked without replacement from {u: 3, a: 5, t: 6, c: 1, h: 1, o: 1}. 3/2380 Two letters picked without replacement from feeeeeeeeeee. Give prob of picking 1 e and 1 f. 1/6 Two letters picked without replacement from lwwwwlllwwlwwlwwww. What is prob of picking 2 w? 22/51 Calculate prob of picking 2 v, 1 u, and 1 y when four letters picked without replacement from yzzzuvmmmmivzy. 2/1001 Three letters picked without replacement from {c: 7, z: 2, t: 5}. Give prob of picking 1 c and 2 z. 1/52 What is prob of picking 1 h and 3 g when four letters picked without replacement from gbggbgbhhrgg? 8/99 Calculate prob of picking 1 c, 1 a, 1 v, and 1 o when four letters picked without replacement from vacapaocscav. 8/165 Four letters picked without replacement from {i: 4, x: 2, m: 2}. Give prob of picking 2 i and 2 m. 3/35 What is prob of picking 1 r, 1 f, and 1 y when three letters picked without replacement from {o: 3, r: 2, y: 8, f: 2}? 32/455 Two letters picked without replacement from {d: 3, w: 3, q: 1, h: 2, g: 1}. What is prob of picking 1 q and 1 w? 1/15 What is prob of picking 2 j and 1 c when three letters picked without replacement from {j: 1, l: 2, m: 2, f: 1, i: 1, c: 1}? 0 Calculate prob of picking 4 z when four letters picked without replacement from {w: 6, z: 12}. 11/68 Two letters picked without replacement from ofofofoo. What is prob of picking 1 f and 1 o? 15/28 Four letters picked without replacement from diiiidididdi. Give prob of picking 2 i and 2 d. 14/33 Two letters picked without replacement from euueeuxceeecxuerix. Give prob of picking 1 i and 1 u. 4/153 Calculate prob of picking 1 q, 1 k, and 1 i when three letters picked without replacement from zqikzhv. 1/35 Calculate prob of picking 2 u, 1 x, and 1 q when four letters picked without replacement from {x: 3, u: 1, o: 3, q: 13}. 0 Four letters picked without replacement from grrrzrfg. Give prob of picking 1 f, 1 r, and 2 g. 2/35 What is prob of picking 1 x and 3 d when four letters picked without replacement from {x: 2, d: 10, o: 2}? 240/1001 Calculate prob of picking 1 c and 1 e when two letters picked without replacement from rtrecccrce. 8/45 What is prob of picking 2 w when two letters picked without replacement from {w: 7, b: 5}? 7/22 Three letters picked without replacement from {p: 4, s: 4, i: 3, v: 3, k: 5, a: 1}. What is prob of picking 1 p and 2 v? 1/95 Three letters picked without replacement from {x: 10, q: 5, a: 1, w: 1}. What is prob of picking 3 x? 3/17 Three letters picked without replacement from qyqyqyqygqqqqqqyq. Give prob of picking 1 g, 1 y, and 1 q. 11/136 Three letters picked without replacement from {z: 8, r: 3}. What is prob of picking 3 r? 1/165 Two letters picked without replacement from wkcaa. What is prob of picking 1 k and 1 a? 1/5 Four letters picked without replacement from bdukydiiyibukib. Give prob of picking 3 i and 1 u. 8/1365 Calculate prob of picking 1 f and 2 e when three letters picked without replacement from fekxexekkekbekkkxkex. 1/76 Three letters picked without replacement from {j: 5, k: 1, y: 1, h: 3, b: 4}. What is prob of picking 1 k and 2 j? 5/182 Two letters picked without replacement from {t: 2, z: 2, g: 1, u: 11, y: 3}. Give prob of picking 2 u. 55/171 What is prob of picking 1 m and 1 p when two letters picked without replacement from agepmie? 1/21 Four letters picked without replacement from {v: 2, e: 1, c: 2, i: 1, j: 1}. Give prob of picking 1 v, 1 i, and 2 c. 2/35 Two letters picked without replacement from ppppypypgpg. Give prob of picking 2 g. 1/55 Two letters picked without replacement from {w: 2, b: 1, u: 3, m: 2, h: 1, f: 3}. What is prob of picking 1 h and 1 b? 1/66 Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {o: 9, y: 2, w: 2, l: 1}. 2/91 What is prob of picking 1 x and 1 r when two letters picked without replacement from rttttvrtxtrxrtrxtx? 20/153 Four letters picked without replacement from czoczcczzzzcczz. What is prob of picking 4 z? 2/39 Three letters picked without replacement from vvv. Give prob of picking 3 v. 1 Two letters picked without replacement from {f: 6, c: 1, r: 1, h: 4, d: 3}. What is prob of picking 1 h and 1 f? 8/35 Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {a: 1, h: 1, w: 1, g: 2}. 1/5 What is prob of picking 1 c and 2 r when three letters picked without replacement from icprhxccxhrirrirxhhc? 2/57 Calculate prob of picking 2 s and 1 f when three letters picked without replacement from ssshshshqshssfs. 36/455 Two letters picked without replacement from {w: 7, t: 6}. What is prob of picking 2 t? 5/26 Calculate prob of picking 1 m and 1 c when two letters picked without replacement from cmjecen. 2/21 Three letters picked without replacement from {u: 1, g: 4, c: 1, h: 2, f: 3}. Give prob of picking 1 h, 1 c, and 1 u. 2/165 Calculate prob of picking 1 k, 1 u, and 1 c when three letters picked without replacement from {v: 4, k: 3, c: 5, u: 5, r: 1}. 25/272 What is prob of picking 2 c and 2 z when four letters picked without replacement from coocczczo? 1/21 What is prob of picking 4 z when four letters picked without replacement from rzrrrrrrz? 0 Calculate prob of picking 2 q and 2 a when four letters picked without replacement from qaqaqaaqqqaqqq. 360/1001 Four letters picked without replacement from {r: 5}. What is prob of picking 4 r? 1 Calculate prob of picking 2 p and 2 r when four letters picked without replacement from pprpprrrpr. 10/21 Two letters picked without replacement from auafauapadaau. Give prob of picking 1 f and 1 u. 1/26 What is prob of picking 1 t and 1 m when two letters picked without replacement from tmeoi? 1/10 What is prob of picking 2 w when two letters picked without replac
{ "pile_set_name": "DM Mathematics" }
d -51/121? 726 Calculate the lowest common multiple of 2064 and 8. 2064 Find the common denominator of 8/93 and 7/9. 279 Calculate the lowest common multiple of 540 and 24. 1080 Calculate the common denominator of 71/63 and -43/224. 2016 Find the common denominator of -47/1580 and 181/120. 9480 What is the common denominator of 79/84 and -14/45? 1260 Calculate the lowest common multiple of 600 and 70. 4200 What is the common denominator of 33/25 and 54/5? 25 What is the common denominator of 107/4094 and -51/5? 20470 What is the common denominator of 95/12 and 35/492? 492 Calculate the least common multiple of 1920 and 8064. 40320 Calculate the lowest common multiple of 687 and 66. 15114 Calculate the lowest common multiple of 120 and 880. 2640 What is the smallest common multiple of 2286 and 1778? 16002 What is the smallest common multiple of 6 and 226? 678 What is the smallest common multiple of 220 and 36? 1980 What is the smallest common multiple of 2 and 18? 18 Calculate the common denominator of -151/864 and 139/12. 864 Calculate the lowest common multiple of 119 and 119. 119 What is the lowest common multiple of 4 and 806? 1612 What is the lowest common multiple of 16 and 120? 240 What is the smallest common multiple of 120 and 480? 480 Calculate the smallest common multiple of 164 and 8. 328 Calculate the smallest common multiple of 112 and 4960. 34720 Find the common denominator of -71/1372 and 26/49. 1372 Calculate the common denominator of 139/12 and -55/16226. 97356 Calculate the common denominator of -179/30 and -83/1032. 5160 Calculate the least common multiple of 71 and 1136. 1136 Find the common denominator of 41/148 and -15/1628. 1628 What is the smallest common multiple of 95 and 19? 95 What is the common denominator of 55/922 and -39/10? 4610 What is the smallest common multiple of 441 and 27? 1323 Calculate the common denominator of -155/42 and -113/66. 462 Calculate the least common multiple of 119 and 49. 833 Calculate the common denominator of 97/198 and 125/162. 1782 Calculate the smallest common multiple of 2108 and 16. 8432 Find the common denominator of -101/32 and 81/46. 736 What is the smallest common multiple of 1940 and 450? 87300 Calculate the common denominator of 59/3602 and 91/18. 32418 What is the lowest common multiple of 33 and 219? 2409 What is the common denominator of 5/1067 and 107/2134? 2134 What is the common denominator of 64/15 and -69/10? 30 What is the smallest common multiple of 792 and 352? 3168 Calculate the least common multiple of 1318 and 12. 7908 Calculate the common denominator of -61/21 and -2/49. 147 What is the smallest common multiple of 48 and 216? 432 Calculate the smallest common multiple of 228 and 44. 2508 What is the smallest common multiple of 525 and 15? 525 What is the least common multiple of 576 and 5184? 5184 What is the common denominator of -29/5316 and 103/44? 58476 What is the common denominator of 95/22 and 81/3806? 3806 Calculate the least common multiple of 12 and 40. 120 Calculate the common denominator of 26/45 and 139/90. 90 Calculate the common denominator of 2/4565 and 19/3. 13695 What is the smallest common multiple of 49 and 10? 490 Find the common denominator of 61/18 and 7/836. 7524 Find the common denominator of -17/8 and 45/248. 248 Find the common denominator of 131/1416 and 71/4248. 4248 What is the smallest common multiple of 15 and 1521? 7605 Find the common denominator of 43/96 and 25/96. 96 Calculate the least common multiple of 89 and 1. 89 What is the least common multiple of 108 and 30? 540 Calculate the lowest common multiple of 4176 and 21. 29232 Find the common denominator of -95/2079 and 127/792. 16632 Calculate the smallest common multiple of 35 and 25. 175 What is the common denominator of -37/262 and 23/8? 1048 Calculate the lowest common multiple of 2 and 140588. 140588 Find the common denominator of -44/7 and -54/91. 91 What is the least common multiple of 136 and 1394? 5576 Calculate the common denominator of 57/8 and 65/504. 504 Find the common denominator of 39/70 and 1/518. 2590 What is the smallest common multiple of 20 and 64? 320 What is the smallest common multiple of 10 and 55? 110 Find the common denominator of 29/5 and 43/2658. 13290 What is the least common multiple of 165 and 675? 7425 What is the smallest common multiple of 248 and 12? 744 Calculate the common denominator of -97/24 and -47/4. 24 Find the common denominator of 21/2 and -47/152. 152 Calculate the least common multiple of 4 and 7642. 15284 Calculate the smallest common multiple of 4966 and 8. 19864 Calculate the common denominator of 28/2259 and 79/5271. 15813 Find the common denominator of -139/3168 and -67/792. 3168 What is the lowest common multiple of 36 and 12? 36 What is the common denominator of 20/799 and 17/2? 1598 Calculate the least common multiple of 112 and 112. 112 Calculate the smallest common multiple of 44 and 40. 440 What is the least common multiple of 8 and 244? 488 What is the common denominator of 97/3420 and -123/50? 17100 Find the common denominator of -113/12 and 31/30. 60 Calculate the least common multiple of 28 and 56. 56 Calculate the smallest common multiple of 344 and 44. 3784 What is the least common multiple of 140 and 20? 140 Find the common denominator of 58/4347 and -43/1449. 4347 What is the common denominator of -20/33 and 55/72? 792 Calculate the smallest common multiple of 9 and 550. 4950 Calculate the lowest common multiple of 4262 and 20. 42620 What is the common denominator of 15/374 and -123/2210? 24310 What is the common denominator of 45/128 and 121/6? 384 What is the common denominator of -67/2 and 14/333? 666 Calculate the common denominator of 95/7344 and -139/7344. 7344 Calculate the common denominator of 61/160 and 111/140. 1120 Calculate the lowest common multiple of 143 and 2496. 27456 Calculate the common denominator of -103/2520 and 20/27. 7560 What is the common denominator of 29/10 and -99/106? 530 Calculate the lowest common multiple of 316 and 316. 316 Calculate the smallest common multiple of 138 and 18. 414 Calculate the smallest common multiple of 13874 and 18. 124866 Calculate the lowest common multiple of 27 and 27. 27 What is the common denominator of -85/142 and -35/12? 852 What is the common denominator of -109/888 and -95/2664? 2664 What is the common denominator of -59/189 and -17/105? 945 What is the common denominator of 143/72 and 95/2576? 23184 Find the common denominator of -45/1351 and -1/42. 8106 Calculate the common denominator of 85/4977 and 5/21. 4977 What is the common denominator of -113/84 and -43/56? 168 Calculate the common denominator of -65/18 and 9/8. 72 Calculate the least common multiple of 6 and 100. 300 Calculate the smallest common multiple of 30 and 12. 60 Calculate the lowest common multiple of 264 and 594. 2376 What is the common denominator of -75/496 and 31/40? 2480 What is the lowest common multiple of 18 and 126? 126 Calculate the common denominator of -109/3808 and -29/714. 11424 Calculate the common denominator of -109/3388 and 30/847. 3388 Calculate the common denominator of -137/78 and -155/312. 312 What is the common denominator of -89/2042 and 51/4? 4084 What is the smallest common multiple of 6 and 20264? 60792 What is the smallest common multiple of 795 and 33? 8745 Calculate the least common multiple of 244 and 11468. 11468 Find the common denominator of -101/68 and -3/40. 680 What is the lowest common multiple of 6 and 579? 1158 What is the common denominator of 121/12 and -31/260? 780 Find the common denominator of 83/210 and -51/7. 210 Calculate the smallest common multiple of 161 and 161. 161 Calculate the lowest common multiple of 1 and 33. 33 Calculate the common denominator of -49/414 and 77/309. 42642 Calculate the common denominator of -41/1856 and -81/116. 1856 Find the common denominator of -31/1287 and 23/572. 5148 Find the common denominator of 131/372 and -22/93. 372 Calculate the common denominator of 44/133 and -109/84. 1596 What is the least common multiple of 184 and 2484? 4968 Calculate the smallest common multiple of 51 and 189. 3213 Find the common denominator of 1/88 and -79/110. 440 Find the common denominator of 71/70 and 33/
{ "pile_set_name": "DM Mathematics" }
2, what is 1 - 1011101111? -1011101110 In base 10, what is 432 + -23? 409 In base 2, what is -100111011110 - 1? -100111011111 In base 10, what is 2 + 504? 506 In base 12, what is -69 - -b? -5a In base 14, what is 4237 - -3? 423a In base 4, what is 113 + -12? 101 In base 5, what is 0 - 1340? -1340 In base 12, what is 2 + 193? 195 In base 10, what is -3 - 2251? -2254 In base 4, what is 1 + -220? -213 In base 3, what is 21122 + 222? 22121 In base 16, what is -37 + -c? -43 In base 12, what is 6 + 712? 718 In base 2, what is 1 - 1101111? -1101110 In base 5, what is 100 - -2? 102 In base 2, what is 10001100 - -101? 10010001 In base 4, what is -11 + -12333? -13010 In base 4, what is 3021 - -20? 3101 In base 2, what is 1001100 + 110? 1010010 In base 4, what is 1 - 21? -20 In base 8, what is 3 - 3070? -3065 In base 14, what is -2 + -3? -5 In base 13, what is 220 + -2? 21b In base 11, what is 8639 + 3? 8641 In base 13, what is 3 - -28? 2b In base 13, what is -18 - 66? -81 In base 2, what is 101 - -100101111? 100110100 In base 6, what is 0 + 1143? 1143 In base 8, what is -2 + -174? -176 In base 11, what is 68 - -18? 85 In base 11, what is 3 + 766? 769 In base 4, what is -210 + 11? -133 In base 13, what is 31 - 23? b In base 6, what is -1034 + 5? -1025 In base 14, what is 2 + 23a? 23c In base 9, what is 1560 + -3? 1556 In base 14, what is -d - 3? -12 In base 6, what is -5 + 555? 550 In base 5, what is 2 + 12322? 12324 In base 4, what is 1 + 1020133? 1020200 In base 2, what is -1 - 110001? -110010 In base 11, what is 150 + -5? 146 In base 8, what is -243 - 1? -244 In base 16, what is -15 - 5? -1a In base 15, what is -13b - 3? -13e In base 11, what is -6841 + -2? -6843 In base 4, what is 1033 - -11? 1110 In base 7, what is 1 - -651? 652 In base 16, what is -3 - 45? -48 In base 16, what is -5d + 2? -5b In base 8, what is -44 - -42? -2 In base 15, what is 2 + -3e? -3c In base 14, what is 1085 + 7? 108c In base 2, what is 1110100 + -11? 1110001 In base 10, what is -622 - 8? -630 In base 5, what is -12 + 13? 1 In base 4, what is -10 - -1322? 1312 In base 9, what is -5 - -347? 342 In base 8, what is -3 + 311? 306 In base 14, what is -19 + -15? -30 In base 5, what is -12 + 322? 310 In base 8, what is -4 - -1265? 1261 In base 6, what is -1442 + -3? -1445 In base 7, what is -2 + -1241? -1243 In base 4, what is 10 - 1023? -1013 In base 4, what is -10 + -1132? -1202 In base 11, what is -8698 + -5? -86a2 In base 10, what is -11113 + -3? -11116 In base 14, what is -4 - 38a? -390 In base 7, what is 464 + -45? 416 In base 13, what is 4b - 1? 4a In base 10, what is 1 + -88? -87 In base 5, what is 4 + 2324? 2333 In base 14, what is -8c + 5? -87 In base 12, what is 81 - 5? 78 In base 4, what is 2303 + 1? 2310 In base 15, what is 91 + 10? a1 In base 14, what is -2 + 1? -1 In base 9, what is -17 - -122? 104 In base 7, what is -2 - -31? 26 In base 5, what is 10 - -13? 23 In base 10, what is -6 + -91? -97 In base 2, what is 11100 - 0? 11100 In base 3, what is -10 + -12111? -12121 In base 10, what is 433 - -7? 440 In base 15, what is 853 + 1? 854 In base 8, what is 36 - 27? 7 In base 2, what is 0 + 101000101000? 101000101000 In base 3, what is 0 - -12020011? 12020011 In base 9, what is 34 + 68? 113 In base 11, what is 3 + 97? 9a In base 11, what is -9 - 22? -30 In base 10, what is -4 - 14? -18 In base 13, what is 2b4c + 3? 2b52 In base 10, what is -3 - -877? 874 In base 5, what is 222 - 2? 220 In base 11, what is -21 + -87? -a8 In base 8, what is 66 + -3? 63 In base 16, what is -5 + -44? -49 In base 5, what is -240 - -101? -134 In base 2, what is -1 + -10110? -10111 In base 16, what is -2 - -25? 23 In base 16, what is -2fe + -5? -303 In base 12, what is 7b - -3? 82 In base 12, what is -2 + -22? -24 In base 7, what is -4 - 6? -13 In base 15, what is -35a + 1? -359 In base 9, what is -4 + 227? 223 In base 16, what is -1 + 22? 21 In base 14, what is 35 - 1? 34 In base 13, what is 52 + -2? 50 In base 9, what is 1707 + 16? 1724 In base 16, what is -b + -192? -19d In base 7, what is 4 - 24? -20 In base 12, what is -7 + -3? -a In base 15, what is -20 + -3? -23 In base 12, what is 5 + -2a? -25 In base 5, what is 3 - 33100? -33042 In base 11, what is 5 - 175? -170 In base 16, what is -282 - 4? -286 In base 5, what is 30 - 112? -32 In base 11, what is 2 + -101? -aa In base 5, what is 10 + 342? 402 In base 7, what is -266 + -5? -304 In base 16, what is -1 - 86? -87 In base 15, what is 71 - b? 65 In base 2, what is -100 - -11111111110? 11111111010 In base 16, what is -2e + 21? -d In base 5, what is 13 + -34? -21 In base 9, what is 15 + -18? -3 In base 13, what is -279 - 3? -27c In base 16, what is a5 + -4? a1 In base 14, what is -1 + -2? -3 In base 5, what is -3403 - 2? -3410 In base 15, what is 1a - -4? 1e In base 15, what is -104 + 5? -ee In base 14, what is -588 + -3? -58b In base 16, what is -6e + 0? -6e In base 11, what is -92 + -2? -94 In base 2, what is -1 - 1001010? -1001011 In base 2, what is 1000001 - -1010? 1001011 In base 15, what is e6b + -2? e69 In base 3, what is 100 + 20? 120 In base 15, what is -9b - -3? -98 In base 4, what is 0 + -10023? -10023 In base 9, what is 5 - -2084? 2100 In base 13, what is 1 - a6? -a5 In base 8, what is 50 - 43? 5 In base 14, what is -22a - 4? -230 In base 14, what is 4 - -40? 44 In base 7, what is -41 - -1? -40 In base 6, what is -10 - 3114? -3124 In base 11, what is 5094 - -5? 5099 In base 7, what is -14166 + -3? -14202 In base 12, what is 63 - 49? 16 In base 11, what is 0 - -5? 5 In base 14, what is 9 + -10? -5 In base 4, what is 2313 - 102? 2211 In base 9, what is -13 - -2? -11 In base 7, what is 466 + 5? 504 In base 13, what is 1239 + 2? 123b In base 8, what is -3 + -67? -72 In base 9, what is 5 + 417? 423 In base 11, what is 2 + 5838? 583a In base 15, what is -3 - 202? -205 In base 11, what is 12402 + -5? 123a8 In base 14, what is 12d - -19? 148 In base 9, what is -22 + 27? 5 In base 8, what is 2 - -356? 360 In base 13, what is 128 + -2? 126 In base 16, what is -d6 - 4? -da In base 11, what is -9a - -5? -95 In base 13, what is 3134 - 2? 3132 In base 7, what is -4 - -4? 0 In base 16, what is -ad + -6? -b3 In base 14, what is -2b + 1b? -10 In base 4, what is 110032 - 1? 110031 In base 10, what is 219 - -3? 222 In base 7, what is 4 + -151? -144 In base 9, what is 13 - -473? 486 In base 4, what is 1021 + 1? 1022 In base 7, what is 515 - 2? 513 In base 3, what is 10 + 1002022? 1002102 In base 4, what is 2 + -31021? -31013 In base 9, what is 1 + -51? -50 In base 2, what is -1110 + -101? -10011 In base 14, what is 0 - -22? 22 In base 10, what is 21 - -6? 27 In base 16, what is 4 + -3f5? -3f1 In base 14, what is 387 - -5? 38c In base 11, what is 3 - 1? 2 In base 8, what is -67 + -205? -274 In base 3, what is 1120 + -2000? -110 In base 5, what is 1401031 - -1? 1401032 In base 14, what is 2 - -418? 41a In base 9, what is 62 - 2? 60 In base 16, what is 23 + -7? 1c In base 12, what is 864 - 12? 852 In base 5, what is 40 - -1042? 1132 In base 14, what is 1a - -2? 1c In base 3, what is -1001121 + 11? -1001110 In base 16, what is -3 + 6? 3 In base 7, what is 145 - 260? -112 In base 15, what is 10 + 2? 12 In base 8, what is 157 + 27? 206 In base 7, what is 3256 + 4? 3263 In base 15, what is 0 + 19? 19 In base 16, what is -2 - -13? 11 In base 3, what is 120102 + 1? 120110 In base 9, what is 1 - 62? -61 In base 2, what is -110 - -10011000011? 10010111101 In base 16, what is 15 + 0? 15 In base 8, what is 42 + 0? 42 In base 10, what is -14 + 749? 735 In base 10, what is 2 - -52? 54 In base 7, what is -4 - 22411? -22415 In base 2, what is 1101000 - -11? 1101011 In base 11, what is 60 - 0? 60 In base 9, what is 51 - -143? 204 In base 2, what is 1010 - -101111? 111001 In base 2, what is -10011111000 - 10? -10011111010 In base 3, what is 1 + -1212? -1211 In base 2, what is -100000 - 1? -100001 In base 13, what is 6b - 21? 4a In base 14, what is 69 + -10? 59 In base 14, what is 5 - 6? -1 In base 12, what is -49 - -3? -46 In base 9, what is -15 + -3? -18 In base 13, what is 17 + 7b? 95 In base 9, what is 6 - -278? 285 In base 3, what is 1200 + -12? 1111 In base 6, what is -251 + 2? -245 In base 4, what is 0 - -23231? 23231 In base 15, what is 6 - -187b? 1882 In
{ "pile_set_name": "DM Mathematics" }
t is the cube root of 1378109390 to the nearest integer? 1113 What is the third root of 99059954 to the nearest integer? 463 What is the third root of 2698107207 to the nearest integer? 1392 What is 153617240 to the power of 1/8, to the nearest integer? 11 What is the square root of 515734995 to the nearest integer? 22710 What is the seventh root of 459642698 to the nearest integer? 17 What is the square root of 62281566 to the nearest integer? 7892 What is 216438 to the power of 1/2, to the nearest integer? 465 What is the third root of 1904865332 to the nearest integer? 1240 What is 67313916 to the power of 1/10, to the nearest integer? 6 What is the cube root of 7499121 to the nearest integer? 196 What is the eighth root of 2517643666 to the nearest integer? 15 What is the square root of 454356509 to the nearest integer? 21316 What is 3994409814 to the power of 1/2, to the nearest integer? 63201 What is the eighth root of 693830195 to the nearest integer? 13 What is the cube root of 3438596879 to the nearest integer? 1509 What is the fourth root of 452664363 to the nearest integer? 146 What is the third root of 6464548542 to the nearest integer? 1863 What is 4582107859 to the power of 1/3, to the nearest integer? 1661 What is 945350326 to the power of 1/3, to the nearest integer? 981 What is 28387589 to the power of 1/7, to the nearest integer? 12 What is 105184056 to the power of 1/2, to the nearest integer? 10256 What is the third root of 539479636 to the nearest integer? 814 What is 344274654 to the power of 1/2, to the nearest integer? 18555 What is 56154654 to the power of 1/3, to the nearest integer? 383 What is the cube root of 198040764 to the nearest integer? 583 What is 146543148 to the power of 1/2, to the nearest integer? 12106 What is the cube root of 721291170 to the nearest integer? 897 What is the square root of 6835955 to the nearest integer? 2615 What is the ninth root of 3676341754 to the nearest integer? 12 What is 2249036389 to the power of 1/2, to the nearest integer? 47424 What is 31031923 to the power of 1/6, to the nearest integer? 18 What is the tenth root of 153976439 to the nearest integer? 7 What is the fifth root of 8376484 to the nearest integer? 24 What is 660868244 to the power of 1/2, to the nearest integer? 25707 What is 2581652373 to the power of 1/2, to the nearest integer? 50810 What is the square root of 1818008569 to the nearest integer? 42638 What is 3097241418 to the power of 1/2, to the nearest integer? 55653 What is the square root of 43178553 to the nearest integer? 6571 What is the square root of 1483872492 to the nearest integer? 38521 What is 211100177 to the power of 1/2, to the nearest integer? 14529 What is the seventh root of 138874955 to the nearest integer? 15 What is the sixth root of 315317649 to the nearest integer? 26 What is 833961149 to the power of 1/3, to the nearest integer? 941 What is the third root of 190675959 to the nearest integer? 576 What is the seventh root of 41248922 to the nearest integer? 12 What is 557651656 to the power of 1/3, to the nearest integer? 823 What is 59132750 to the power of 1/9, to the nearest integer? 7 What is 945759395 to the power of 1/5, to the nearest integer? 62 What is 65923870 to the power of 1/4, to the nearest integer? 90 What is 76317304 to the power of 1/2, to the nearest integer? 8736 What is the square root of 9137633665 to the nearest integer? 95591 What is 145280639 to the power of 1/2, to the nearest integer? 12053 What is 4637682291 to the power of 1/8, to the nearest integer? 16 What is 1819724806 to the power of 1/3, to the nearest integer? 1221 What is 9231096851 to the power of 1/7, to the nearest integer? 27 What is the seventh root of 18877339 to the nearest integer? 11 What is 588761146 to the power of 1/3, to the nearest integer? 838 What is the square root of 1464471547 to the nearest integer? 38268 What is the cube root of 48159376 to the nearest integer? 364 What is 5562779270 to the power of 1/2, to the nearest integer? 74584 What is the third root of 948579228 to the nearest integer? 983 What is the square root of 1673333235 to the nearest integer? 40906 What is the cube root of 913294427 to the nearest integer? 970 What is the cube root of 1818050950 to the nearest integer? 1220 What is the tenth root of 4586107026 to the nearest integer? 9 What is the ninth root of 77715475 to the nearest integer? 8 What is 79908075 to the power of 1/4, to the nearest integer? 95 What is the cube root of 84392941 to the nearest integer? 439 What is the ninth root of 97051516 to the nearest integer? 8 What is the fourth root of 149813367 to the nearest integer? 111 What is the square root of 1389798485 to the nearest integer? 37280 What is 169146592 to the power of 1/3, to the nearest integer? 553 What is the cube root of 3864039401 to the nearest integer? 1569 What is the ninth root of 824336306 to the nearest integer? 10 What is 22369489 to the power of 1/2, to the nearest integer? 4730 What is 336918459 to the power of 1/3, to the nearest integer? 696 What is 32546822 to the power of 1/8, to the nearest integer? 9 What is the square root of 46471930 to the nearest integer? 6817 What is the cube root of 114277845 to the nearest integer? 485 What is the third root of 2488437865 to the nearest integer? 1355 What is 1570798391 to the power of 1/5, to the nearest integer? 69 What is the fifth root of 198765219 to the nearest integer? 46 What is the tenth root of 2498296751 to the nearest integer? 9 What is the cube root of 4613975597 to the nearest integer? 1665 What is 119451049 to the power of 1/3, to the nearest integer? 492 What is 49675586 to the power of 1/6, to the nearest integer? 19 What is 3225844874 to the power of 1/2, to the nearest integer? 56797 What is the ninth root of 178991356 to the nearest integer? 8 What is 904846577 to the power of 1/3, to the nearest integer? 967 What is 305498578 to the power of 1/3, to the nearest integer? 673 What is 2154586833 to the power of 1/5, to the nearest integer? 74 What is 189421889 to the power of 1/3, to the nearest integer? 574 What is 28102118 to the power of 1/2, to the nearest integer? 5301 What is 933217846 to the power of 1/2, to the nearest integer? 30549 What is the third root of 3308991816 to the nearest integer? 1490 What is 982862902 to the power of 1/8, to the nearest integer? 13 What is the square root of 55295534 to the nearest integer? 7436 What is 211816229 to the power of 1/3, to the nearest integer? 596 What is 110311839 to the power of 1/6, to the nearest integer? 22 What is 149709114 to the power of 1/2, to the nearest integer? 12236 What is the sixth root of 2243011024 to the nearest integer? 36 What is 761190534 to the power of 1/3, to the nearest integer? 913 What is 88730268 to the power of 1/2, to the nearest integer? 9420 What is the third root of 1227432587 to the nearest integer? 1071 What is the fourth root of 1473382916 to the nearest integer? 196 What is 80634405 to the power of 1/3, to the nearest integer? 432 What is the third root of 3539185763 to the nearest integer? 1524 What is the square root of 2719891511 to the nearest integer? 52153 What is the cube root of 6189226310 to the nearest integer? 1836 What is 25698585 to the power of 1/9, to the nearest integer? 7 What is the fifth root of 6559396180 to the nearest integer? 92 What is the cube root of 77030672 to the nearest integer? 425 What is 282170333 to the power of 1/2, to the nearest integer? 16798 What is 1664573304 to the power of 1/4, to the nearest integer? 202 What is 882844085 to the power of 1/2, to the nearest integer? 29713 What is 22783328 to the power of 1/2, to the nearest integer? 4773 What is the tenth root of 370272362 to the nearest integer? 7 What is 44103023 to the power of 1/3, to the nearest integer? 353 What is 48370601 to the power of 1/6, to the nearest integer? 19 What is 29716883 to the power of 1/5, to the nearest integer? 31 What is the cube root of 413440212 to the nearest integer? 745 What is 18923336 to the power of 1/3, to the nearest integer? 266 What is 296594888 to the power of 1/2, to the nearest integer? 17222 What is 48575634 to the power of 1/6, t
{ "pile_set_name": "DM Mathematics" }
ob of sequence db. 1/28 Four letters picked without replacement from kgvtmmj. What is prob of sequence kvtj? 1/840 Calculate prob of sequence deo when three letters picked without replacement from degyvgdyyogg. 1/660 Calculate prob of sequence cccc when four letters picked without replacement from ccccc. 1 What is prob of sequence jju when three letters picked without replacement from brusbsdbdsjsbjsb? 1/1680 Two letters picked without replacement from {g: 1, d: 1, f: 2, i: 3, m: 6, j: 2}. Give prob of sequence mg. 1/35 What is prob of sequence add when three letters picked without replacement from adajddjdjjjdjjjjdjjd? 7/570 What is prob of sequence ch when two letters picked without replacement from {c: 10, h: 4}? 20/91 What is prob of sequence zhhz when four letters picked without replacement from hzhhzzhzhh? 1/14 Four letters picked without replacement from {n: 1, u: 3, a: 3, w: 6}. Give prob of sequence waww. 3/143 What is prob of sequence jaj when three letters picked without replacement from {j: 2, a: 3, z: 13}? 1/816 Three letters picked without replacement from {q: 3, s: 1, m: 1, o: 2, g: 2, t: 3}. What is prob of sequence sqm? 1/440 Four letters picked without replacement from {h: 7, c: 3}. Give prob of sequence chch. 1/20 What is prob of sequence dd when two letters picked without replacement from {d: 5, b: 13}? 10/153 Four letters picked without replacement from {a: 7, d: 4}. What is prob of sequence dadd? 7/330 Four letters picked without replacement from {k: 3, i: 3}. What is prob of sequence kiki? 1/10 Two letters picked without replacement from ttccc. Give prob of sequence tt. 1/10 What is prob of sequence ppu when three letters picked without replacement from uuuuuuuuuuuuuppuuuu? 1/171 Calculate prob of sequence cca when three letters picked without replacement from cczszcczaqaccczgq. 7/340 What is prob of sequence ttw when three letters picked without replacement from {w: 4, e: 4, t: 3}? 4/165 Two letters picked without replacement from bjsjggbjjjjgjddbg. Give prob of sequence bj. 21/272 Calculate prob of sequence zdb when three letters picked without replacement from {d: 2, b: 1, z: 3, c: 6}. 1/220 Two letters picked without replacement from gyjyxxgydydxxdgudd. Give prob of sequence xx. 2/51 Four letters picked without replacement from svssssvssssvvs. What is prob of sequence svvv? 10/1001 Calculate prob of sequence avtv when four letters picked without replacement from sttvvavntnraa. 9/2860 Two letters picked without replacement from yryyr. What is prob of sequence yr? 3/10 What is prob of sequence rrr when three letters picked without replacement from crrcrcrrrccrr? 28/143 What is prob of sequence zzz when three letters picked without replacement from {k: 3, z: 5}? 5/28 What is prob of sequence oo when two letters picked without replacement from {v: 1, o: 2}? 1/3 Three letters picked without replacement from {y: 1, g: 1, m: 2}. Give prob of sequence gmy. 1/12 Calculate prob of sequence tj when two letters picked without replacement from fjjtjjmiijrifjif. 1/40 Calculate prob of sequence ssm when three letters picked without replacement from {m: 2, s: 4, p: 1, g: 2, l: 5}. 1/91 Calculate prob of sequence on when two letters picked without replacement from {x: 1, n: 10, o: 7}. 35/153 Calculate prob of sequence qpn when three letters picked without replacement from {q: 1, p: 4, f: 4, n: 1}. 1/180 Calculate prob of sequence kjka when four letters picked without replacement from {k: 1, t: 1, a: 10, j: 1}. 0 Four letters picked without replacement from wwwzzw. What is prob of sequence zzww? 1/15 What is prob of sequence ze when two letters picked without replacement from {e: 10, f: 3, z: 2, d: 3}? 10/153 Four letters picked without replacement from {f: 1, t: 1, b: 5, z: 5, x: 2, v: 6}. What is prob of sequence btxz? 5/11628 Calculate prob of sequence bd when two letters picked without replacement from hdedhdefeb. 1/30 Four letters picked without replacement from ahaxhxhhg. Give prob of sequence xgxa. 1/756 Two letters picked without replacement from efmmmcefyefmeemc. What is prob of sequence fm? 1/16 Three letters picked without replacement from eoeoejooeejj. What is prob of sequence eoe? 2/33 Two letters picked without replacement from {o: 4, y: 4, q: 2, k: 8, p: 1}. Give prob of sequence pq. 1/171 Four letters picked without replacement from yhhhjhhsnsshr. Give prob of sequence jyss. 1/2860 Three letters picked without replacement from {i: 9, y: 1, a: 2, p: 5, x: 1}. What is prob of sequence pax? 5/2448 Calculate prob of sequence stq when three letters picked without replacement from yqtssy. 1/60 Two letters picked without replacement from {n: 1, j: 12}. Give prob of sequence nj. 1/13 What is prob of sequence uuz when three letters picked without replacement from zzuzzzzzzzzuzuzzuz? 7/204 What is prob of sequence jm when two letters picked without replacement from mmmmmmmmjmmjmmmjmmj? 10/57 Four letters picked without replacement from {o: 1, f: 1, x: 14}. Give prob of sequence xoox. 0 Calculate prob of sequence ii when two letters picked without replacement from {i: 3, u: 1}. 1/2 Three letters picked without replacement from {a: 8, g: 1, b: 1, y: 7}. Give prob of sequence ybg. 7/4080 Calculate prob of sequence oe when two letters picked without replacement from {g: 4, e: 1, o: 9}. 9/182 Calculate prob of sequence qhj when three letters picked without replacement from jnqqnnjhxlnljljxhq. 1/204 What is prob of sequence gl when two letters picked without replacement from {g: 2, l: 4, m: 1, o: 1}? 1/7 What is prob of sequence bbb when three letters picked without replacement from blbbbbbbbbbbl? 15/26 What is prob of sequence lul when three letters picked without replacement from {l: 6, u: 9, s: 2}? 9/136 Calculate prob of sequence ss when two letters picked without replacement from {r: 1, s: 12}. 11/13 Calculate prob of sequence ggff when four letters picked without replacement from {f: 5, g: 9}. 60/1001 Three letters picked without replacement from {c: 2, o: 1, z: 1}. Give prob of sequence czc. 1/12 Calculate prob of sequence wswl when four letters picked without replacement from wssslws. 1/105 Calculate prob of sequence sfss when four letters picked without replacement from pnzsnnxssfsx. 1/495 Three letters picked without replacement from nqnujuuujnundgqujq. Give prob of sequence qjg. 1/544 Four letters picked without replacement from xzdludwuwwwxwzzdzwzw. Give prob of sequence wwxz. 7/1938 What is prob of sequence ppgz when four letters picked without replacement from {g: 4, z: 3, w: 4, p: 6}? 3/476 Two letters picked without replacement from {y: 1, e: 17}. Give prob of sequence ey. 1/18 What is prob of sequence ed when two letters picked without replacement from {p: 1, e: 1, d: 1}? 1/6 Two letters picked without replacement from {u: 2, v: 2, s: 12, r: 1, k: 1}. What is prob of sequence su? 4/51 Calculate prob of sequence fic when three letters picked without replacement from cfiofaff. 1/84 What is prob of sequence ae when two letters picked without replacement from eafhqmhq? 1/56 Four letters picked without replacement from {i: 5, x: 1, l: 14}. Give prob of sequence iiix. 1/1938 Four letters picked without replacement from hyjhj. What is prob of sequence jjyh? 1/30 Four letters picked without replacement from flufluufluff. Give prob of sequence lflf. 1/99 What is prob of sequence ye when two letters picked without replacement from mmymemymmmnnnmmmyn? 1/102 Three letters picked without replacement from {x: 2, s: 5, w: 1, t: 1, n: 6}. What is prob of sequence tnx? 2/455 Two letters picked without replacement from {q: 11, a: 2, r: 1}. Give prob of sequence aa. 1/91 Two letters picked without replacement from rwwrarara. What is prob of sequence aw? 1/12 Calculate prob of sequence rpr when three letters picked without replacement from {r: 5, p: 7}. 7/66 Three letters picked without replacement from {f: 2, p: 1, v: 1}. What is prob of sequence fvp? 1/12 Four letters picked without replacement from goiomgmoioww. Give prob of sequence igio. 2/1485 Two letters picked without replacement from {e: 3, a: 1, b: 2, q: 3, c: 3, x: 2}. What is prob of sequence xa? 1/91 Calculate prob of sequence kpp when three letters picked without repla
{ "pile_set_name": "DM Mathematics" }
**2 + 17*j - 23956. Let p be 8/(-2)*(2 - 0). Determine o(p). 1 Suppose 7*f + 15 = 2*f. Let c(m) be the second derivative of -5*m + 1/3*m**3 - 1/2*m**2 - 1. Calculate c(f). -7 Let t = 25 - 23. Suppose -5*h - t*v + 46 = -h, -5*h + 61 = -v. Let w(x) = 25 - 5*x - h - 12 + x**2. What is w(5)? 1 Let v be (-3)/(-12)*(-40)/30*6. Let h(y) = 4*y**2 - 3*y - 2. Determine h(v). 20 Let x(u) be the first derivative of u**2/2 - 2*u - 1. Let f(m) = -27 - 342*m**2 + 92*m - 17*m + 333*m**2. Let o be f(8). Give x(o). -5 Let w = 16611 + -16619. Let a(f) = 2*f**2 + 9*f - 15. Give a(w). 41 Let t(v) = -v**3 - 113*v**2 - 226*v - 441. Let g be t(-111). Let y(b) = -b**3 + b**2 - 2*b. Give y(g). -24 Suppose 64 = 7*t + 22. Suppose t = 2*r, 4*j + 46 = 3*r + 9. Let w(n) = -n**2 - 6*n + 14. Calculate w(j). 7 Suppose 5*h + 2*z - 190 = -z, -3*z - 20 = -h. Let g(q) = -h*q**2 + 76*q**2 - q**3 + 4 + 4*q - 44*q**2. Suppose 4*s = -13 - 3. What is g(s)? 4 Let y(c) be the second derivative of -c**3/2 + 33*c**2/2 - 5*c + 44. Calculate y(-2). 39 Suppose 35*w + 3168 = 38*w + 3*d, 0 = 4*w + 5*d - 4220. Let r = w - 1064. Let g(q) be the second derivative of q**3/6 + q**2/2 + q. What is g(r)? -3 Let q be (40/(-20))/(0 - 2/3). Let l(t) = -6*t**3 - 6*t**2 - 6 + 11*t**q - 4*t**3 + 6*t. Determine l(4). -14 Let q(v) be the second derivative of -v**3/3 + 3*v**2 + 41*v. Let z be (-16)/(-3) + (-5)/15 + 1. Give q(z). -6 Let v(i) = -2*i**3 - 7*i**2 - 7*i + 2. Let p = 11710 - 11712. Calculate v(p). 4 Let f(s) be the third derivative of -s**6/120 + 17*s**5/60 - 5*s**4/8 - 23*s**3/6 + 117*s**2. Give f(16). -7 Let y(x) be the second derivative of 5*x**3/3 - 83*x**2/2 + 153*x - 1. Determine y(8). -3 Let b(f) = 10*f + 5. Let s be b(0). Suppose -x = -4*n + 33, s*n = -2*x - 7 + 58. Let g(r) = -r**3 + 8*r**2 + 7*r + 6. What is g(n)? -12 Suppose -22 = 4*k + 6. Let g be (-8)/(-30)*10 - (-4)/(-6). Let h(d) = 3*d - 2*d + 81 - g*d - 78 + 2*d. Calculate h(k). -4 Let i(c) = -11*c - 4. Let u be (7 + 468/(-60))/((-16)/(-120)). Give i(u). 62 Let r(g) = 32*g + 7 + 7 - 83*g + 24*g + 28*g. What is r(-6)? 8 Let d = 265 - 265. Suppose d = -18*p + 20 + 34. Let c(v) = -v**3 + 4*v**2 - 5*v + 4. What is c(p)? -2 Let c(j) = -j**3 + 8*j**2 + 6. Let a be (-6)/(-75) + (-84984)/(-200). Suppose 6*h + 377 = a. Calculate c(h). 6 Suppose -5*w + 16 = 6. Let b(o) = -o - 4*o + 4*o + 5 - 4*o. Give b(w). -5 Let i(m) = -m**3 - 35*m**2 - 85*m - 28. Let t be i(-2). Let q(p) = 5*p - 45. Calculate q(t). 5 Let v(a) = a**2 - 4*a. Let r = -18 + 20. Suppose 9 = s - y, s - r*s = y - 9. Suppose s + 3 = 4*l. Give v(l). -3 Let t(p) = -5*p + 3391*p**3 + 1 - 3390*p**3 + 0*p + 0*p - 4*p**2. Let q = 16 - 11. What is t(q)? 1 Suppose -5*r = 4*y - 9, -1459*y - 3*r = -1463*y - 63. Let i(j) = 3*j**2 + 22*j - 32. Determine i(y). 13 Let p(h) = h**3 + 8*h**2 - h + 4. Let o(k) = -k**3 - 16*k**2 - 41*k - 15. Let m be o(-13). Suppose -136 = 28*j - m*j. Give p(j). 12 Let q(j) = 5*j + 8. Let b be -2 + (17/((-340)/(-16)) - 8/10). What is q(b)? -2 Let q(g) = -3*g**2 + 6*g + 1. Let w = 21345 + -21342. What is q(w)? -8 Let v(u) = -u**2 - 19*u - 6. Let a be v(-18). Let g(s) = a + 10*s**2 - 3*s + s - 6*s + 16*s + s**3. Give g(-9). 21 Let d(y) be the third derivative of 11*y**5/60 + y**4/12 - 2*y**3 + 11*y**2 + 9*y. Let w(c) = 31*c**2 + 5*c - 35. Let k(j) = 17*d(j) - 6*w(j). Give k(-2). 2 Let d(c) = 4*c + 41. Let n be d(-9). Suppose n*l = 4*q - 6, 13*q - 14 = 10*q - l. Let k(a) = -a**3 + 4*a**2 + 2*a - 3. Determine k(q). 5 Let s(v) = -63*v + 317. Let y be s(5). Let a(k) = 11*k**3 - k**2 - 1. What is a(y)? 83 Let t(k) = k**2 + 8*k + 2. Suppose 0 = 4*i + 2*z + 8 - 58, -i + z = -8. Suppose i*b = -91 - 8. Calculate t(b). 11 Let x(k) = 56*k + 47. Let c be x(-1). Let n(l) = 2*l**2 + 17*l - 16. Give n(c). -7 Let r be (32/(-80))/((-4)/110). Let l(v) = -4*v**2 + 45*v + 1. Give l(r). 12 Let w(q) = -4*q**2 + 306*q - 17. Let k(n) = n**2 - 68*n + 4. Let r(h) = -9*k(h) - 2*w(h). Let j = 0 - 0. Determine r(j). -2 Let b(w) = -w**2 + 13*w - 1. Let j(o) = -141 - 73 - 43 - 31*o + 37*o. Let z be j(45). Determine b(z). -1 Let t(u) = -u**3 + 5*u**2 + 2*u - 5. Let s(k) = -16*k**3 + k**2 - 4*k - 4. Let f be s(-1). Let b = 19 - f. Suppose -b*z = -22 + 12. Calculate t(z). 5 Let q be ((-12)/(-9))/((-8)/(-60)). Let n(x) = x**2 - 6*x + 22. Let k be n(q). Let v = 57 - k. Let j(l) = -l**3 - 6*l**2 - 3*l + 7. What is j(v)? -3 Let p(d) = d - 7. Let x be (-6)/5*(-20)/6. Suppose -2*f = v - 13, -10*f + 7*f + 32 = 4*v. Suppose v*m = -15, 11*t - 6*t = x*m + 47. What is p(t)? 0 Let c(l) be the third derivative of -l**6/60 + l**5/12 + l**4/8 - l**3 + 4645*l**2. Calculate c(3). -6 Let s = 46 + -49. Let a be 1 + 2 + s - (1 + -2). Let n(p) = -4*p**2 + p - 1. Give n(a). -4 Let h(n) = 279*n - 283. Let s(t) = -234*t + 283. Let i(d) = 5*h(d) + 6*s(d). Calculate i(32). -5 Let n(l) = l**3 - 15*l**2 + 13*l + 10. Let m = -440 - -344. Let j be m/(-7) + (-2)/(-7). Calculate n(j). -4 Let a = -386 - -1039. Let o = 643 - a. Let c(m) = m**2 + 12*m + 11. Determine c(o). -9 Let v(a) = 26*a + 262. Let w be v(-10). Let m(r) = -8*r + 24. Calculate m(w). 8 Let q(a) = -15*a**2 + 29*a - 3. Let h(r) = 2*r**3 - 24*r**2 + 30*r - 86. Let t be h(11). Give q(t). -5 Let f(o) = o**3 + 4*o**2 - 4*o - 7. Let m(b) = -164*b - 497. Let n be m(-3). Determine f(n). -12 Let w(b) = -13*b**3 - b**2 - b - 11. Let n(v) = 12*v**3 + v**2 + v + 9. Let m(t) = 6*n(t) + 5*w(t). Suppose -5*q = 1 + 4. Let g be (4/2)/(q + 3). Give m(g). 8 Let b(v) = v**3 - 15*v**2 - 75*v + 701. Let a be b(17). Let x(k) be the first derivative of 1/4*k**a + 0*k**2 - 2*k + 22 + 4/3*k**3. Determine x(-4). -2 Let v be 4/6 + 2/6. Let b(x) = -11*x + 11. Let q(i) = -5*i + 9. Let z(u) = -15*u + 29. Let f(c) = -7*q(c) + 2*z(c). Let g(j) = 4*b(j) + 9*f(j). Give g(v). 0 Let g(y) = -y**3 - 4*y**2 + 3*y + 5. Let v be g(-4). Let n = -308 - -321. Let h(o) = -n*o + 4*o + 5*o + 3*o - 4. Give h(v). 3 Suppose 7*h - 2*h + 4*k = 501, 0 = 5*h - 4*k - 469. Let j(z) = -6*z**2 + 13*z**2 + h*z - z**3 - 88*z. Calculate j(8). 8 Let q(g) = -3*g**2 + 14*g + 6. Let h(x) = -101*x - 299. Let o be h(-3). Calculate q(o). 14 Let u(v) = v**2 - 42. Let r = -1178 + 1994. Let p = r + -816. Determine u(p). -42 Let t(d) = 16175*d**2 - 8091*d**2 - 8085*d**2 - 12*d - 20. Calculate t(-9). 7 Let a(k) = -k**3 + 41*k**2 - 75*k - 123. Let c be a(39). Let m(z) = 7*z + 34. Determine m(c). -8 Let l(h) = h**2 - 2*h - 3. Let i be 5590/208 + 1/8. Suppose -17 = -i*y + 64. Calculate l(y). 0 Let z = 17 - 12. Let x(s) = -89*s**3 - 5*s**2 + 10*s - 3. Let i(h) = -127*h**3 - 8*h**2 + 15*h - 5. Let g(t) = -7*i(t) + 10*x(t). Determine g(z). 5 Let i(a) = -9*a**3 - 14*a**2 + 33*a + 1. Let r(j) = -25*j**3 - 41*j**2 + 91*j + 4. Let y(v) = 11*i(v) - 4*r(v). Determine y(-5). 125 Let u(q) be the second derivative of -3*q**5/20 - 7*q**4/4 + q**3/6 + 7*q**2/2 - 2523*q. What is u(-7)? 0 Let y(g) = g + 18. Let h(x) = 2*x + 36. Let o(d) = -d - 18. Let r(k) = 6*h(k) + 13*o(k). Let p = 29 - 25. Let i(z) = p*y(z) + 3*r(z). Determine i(0). 18 Let z(f) be the third derivative of 5*f**4/12 + 2*f**3/3 - 2*f**2 - 31. Let y(v) = -12*v - 4. Let c(b) = -3*y(b) - 4*z(b). Determine c(-4). 12 Let x(c) = c**3 + 6*c**2 - 4*c - 9. Suppose 4*y + 5*d + 28 = 0, 2*d + 454 = y + 461. What is x(y)? -30 Suppose -p - 4*k = -46, p - 3*k = 16 + 37. Suppose -125 = -5*l - 3*u, 9 + 16 = l - u. Let z(s) = s**2 - l + s + p - 30. Determine z(-4). 7 Let k(z) = 7*z + 333 - 8*z - 328. What is k(12)? -7 Let s be ((-8)/(-6))/(4/12). Suppose 16 = s*i - 16. Suppose g = i*g. Let k(z) = -z**2 + z - 16. Determine k(g). -16 Let i(z) be the third derivative of 17*z**4/24 - z**3/3 + 2*z**2 - 7*z + 126. Determine i(-2). -36 Let w = -102 + 97. Let k(s) = 2*s**2 - 8*s + 7. Let t(p) be the first derivative of -p**3/3 + p**2/2 - p + 35. Let f(y) = -k(y) - 3*t(y). Determine f(w). -4 Let k(h) = -15*h + 26 - 116 + 25 - 3. Calculate k(-5). 7 Let t = 3974 + -3970. Let f(v) = 4*v - 4. Determine f(t). 12 Suppose -3*g = 2*v - 4 - 24, 2*v - 44 = -5*g. Let i(y) = -y**3 + 8*y**2 + 2*y + 3. Let k be i(g). Let o(t) = k + t**3 - 8 + 782*t**2 - 783*t**2. Calculate o(0). 11 Let c(b) = 49*b**2 - 30*b + 27. Let m be c(8). Let y(h) = m + 5*h + h - 2924. Calculate y(-2). -13 Let u = -82142 - -82137. Let p(t) be the third der
{ "pile_set_name": "DM Mathematics" }
of 200 and 26? 2 What is the highest common factor of 2742 and 528? 6 Calculate the highest common divisor of 13153 and 7. 7 Calculate the highest common factor of 15554 and 231. 77 What is the highest common factor of 9983 and 871? 67 Calculate the highest common factor of 181 and 973056. 181 What is the greatest common divisor of 4227 and 3044849? 1409 Calculate the greatest common factor of 20 and 365180. 20 Calculate the greatest common factor of 128842 and 14. 14 What is the highest common divisor of 700 and 83200? 100 What is the greatest common factor of 73 and 5061601? 73 Calculate the highest common factor of 48 and 952716. 12 What is the highest common factor of 9 and 338139? 9 Calculate the highest common factor of 114 and 2774. 38 What is the greatest common factor of 351 and 79596? 27 What is the greatest common divisor of 4912 and 255731? 307 What is the highest common factor of 28 and 2471? 7 What is the greatest common divisor of 1393 and 427? 7 Calculate the highest common divisor of 6380 and 2860. 220 What is the highest common divisor of 268764 and 84? 12 Calculate the highest common divisor of 35065 and 125. 5 What is the greatest common factor of 8957 and 845? 169 What is the greatest common divisor of 12 and 625568? 4 Calculate the highest common factor of 236716 and 1116. 124 What is the greatest common divisor of 64 and 10998912? 64 Calculate the greatest common divisor of 65006 and 8. 2 What is the greatest common factor of 1352 and 3185988? 676 Calculate the highest common factor of 15084 and 1125. 9 Calculate the greatest common divisor of 6739 and 86142. 293 What is the greatest common factor of 453 and 2258658? 453 Calculate the greatest common divisor of 20329 and 471072. 701 What is the highest common factor of 30 and 10860? 30 What is the highest common factor of 18 and 82062? 18 What is the greatest common divisor of 1415412 and 288? 36 What is the highest common divisor of 128 and 251648? 128 What is the greatest common factor of 117 and 113581? 13 Calculate the greatest common factor of 297 and 127611. 99 What is the greatest common factor of 540 and 831780? 180 What is the highest common factor of 518936 and 286? 22 What is the highest common factor of 576 and 605504? 64 What is the greatest common divisor of 1593 and 63396? 27 What is the greatest common divisor of 120666 and 84? 42 Calculate the highest common factor of 536 and 568. 8 What is the highest common divisor of 93 and 222890? 31 What is the greatest common factor of 957 and 499191? 33 What is the highest common divisor of 3095178 and 334? 334 Calculate the greatest common divisor of 1127 and 368. 23 What is the greatest common divisor of 88091 and 274? 137 Calculate the greatest common factor of 52 and 4381. 13 Calculate the greatest common factor of 1465 and 6. 1 What is the greatest common factor of 10170 and 90? 90 What is the greatest common divisor of 1774 and 8? 2 What is the greatest common factor of 72 and 10056? 24 What is the highest common divisor of 105368 and 12? 4 What is the highest common divisor of 3133375 and 1750? 875 Calculate the highest common divisor of 128592 and 1680. 48 Calculate the highest common divisor of 25083 and 891. 27 What is the greatest common factor of 417 and 118011? 417 What is the greatest common factor of 296 and 4800232? 296 What is the greatest common factor of 7712 and 160? 32 Calculate the greatest common factor of 996 and 18. 6 What is the greatest common divisor of 7 and 59031? 7 What is the highest common divisor of 77510 and 2696? 674 What is the greatest common divisor of 12349 and 9553? 233 What is the greatest common divisor of 2651 and 3641? 11 Calculate the greatest common divisor of 72 and 58041. 9 What is the highest common divisor of 1248 and 37024? 416 What is the highest common divisor of 14986 and 127? 127 Calculate the highest common divisor of 134771 and 364. 91 What is the highest common divisor of 190014 and 180? 6 Calculate the greatest common divisor of 1064 and 1612492. 532 What is the greatest common factor of 647471 and 121? 121 What is the greatest common factor of 1274 and 3679? 13 Calculate the greatest common factor of 208 and 4030. 26 What is the greatest common divisor of 29238 and 66? 66 What is the highest common divisor of 46098 and 442? 26 What is the highest common factor of 544 and 26860? 68 What is the highest common factor of 40 and 4435? 5 Calculate the greatest common factor of 324 and 581823. 81 Calculate the greatest common factor of 17281 and 11. 11 Calculate the highest common divisor of 5740 and 68460. 140 Calculate the highest common divisor of 727128 and 408. 24 Calculate the greatest common divisor of 1392 and 4758552. 696 Calculate the greatest common factor of 194256 and 11644. 284 What is the greatest common divisor of 1620 and 1323? 27 What is the greatest common divisor of 7888 and 55709? 493 What is the greatest common divisor of 17850 and 1029? 21 Calculate the greatest common factor of 42 and 252462. 42 Calculate the greatest common factor of 57 and 3488191. 19 Calculate the greatest common factor of 924 and 35684. 44 Calculate the greatest common factor of 69125 and 347375. 875 Calculate the highest common factor of 563374 and 14. 14 Calculate the greatest common divisor of 93390 and 240. 30 Calculate the greatest common divisor of 125415 and 135. 135 What is the highest common factor of 4865 and 672? 7 What is the greatest common factor of 966 and 658651? 161 Calculate the greatest common factor of 44 and 409222. 22 Calculate the greatest common divisor of 40 and 126388. 4 What is the highest common divisor of 786 and 54496? 262 What is the greatest common divisor of 4160 and 21920? 160 What is the highest common divisor of 21 and 520449? 3 Calculate the greatest common divisor of 4281642 and 158. 158 What is the greatest common factor of 2465 and 1377? 17 What is the greatest common factor of 282222 and 36? 18 What is the highest common divisor of 65303 and 741? 19 Calculate the greatest common factor of 27432 and 216. 216 What is the highest common divisor of 10216 and 8? 8 What is the highest common factor of 334195 and 890? 445 What is the greatest common factor of 12793 and 2981? 11 What is the greatest common divisor of 12493 and 195? 13 What is the highest common divisor of 207773 and 2249? 173 What is the highest common divisor of 48233 and 33312? 347 Calculate the highest common divisor of 3549420 and 42. 42 Calculate the highest common factor of 96288 and 1593. 177 Calculate the highest common divisor of 70 and 297850. 70 Calculate the greatest common factor of 48 and 534944. 16 Calculate the greatest common divisor of 1392896 and 256. 256 What is the greatest common factor of 1130335 and 805? 115 Calculate the greatest common factor of 154 and 889. 7 What is the highest common factor of 48 and 1032? 24 Calculate the highest common factor of 141975 and 225. 225 Calculate the greatest common factor of 10432 and 1472. 64 What is the highest common factor of 173 and 497894? 173 What is the highest common factor of 258493 and 73? 73 What is the greatest common divisor of 273 and 5889? 39 Calculate the highest common divisor of 60 and 146310. 30 What is the highest common factor of 23904 and 425043? 747 Calculate the greatest common divisor of 26448 and 741. 57 What is the greatest common divisor of 1127678 and 578? 578 What is the greatest common factor of 86267 and 1124? 281 Calculate the highest common divisor of 2590 and 12565. 35 What is the greatest common divisor of 2852 and 6900? 92 Calculate the highest common divisor of 113435 and 7105. 245 Calculate the greatest common divisor of 9830 and 25. 5 Calculate the greatest common divisor of 204836 and 164. 164 What is the greatest common divisor of 114584 and 32? 8 What is the highest common factor of 60 and 32388? 12 What is the highest common divisor of 16059 and 8181? 303 What is the greatest common factor of 67469 and 1809? 67 Calculate the highest common divisor of 38973 and 9. 3 What is the highest common divisor of 108 and 1287612? 36 Calculate the greatest common factor of 43 and 603247. 43 What is the highest common divisor of 67 and 15611? 67 What is the greatest commo
{ "pile_set_name": "DM Mathematics" }
4. Sort 2, v, q. q, v, 2 Let h = -1435 - -1438. Sort h, -387, -2, 1 in ascending order. -387, -2, 1, h Let q be (21/(-210)*-5)/((-6)/4). Let w = -0.2 - 2.8. Sort 0.18, w, q. w, q, 0.18 Let q = 74.46 + 2.54. Sort q, 0.4, -1/7, 1 in descending order. q, 1, 0.4, -1/7 Let u = 8 - 6. Let v = -1036/5 - -208. Put u, -3, v in increasing order. -3, v, u Let i = -0.438 - -0.238. Put 2, -5, i, 1/10 in decreasing order. 2, 1/10, i, -5 Let w = -1575.6 + 1576. Put -5, -2, 5, w in ascending order. -5, -2, w, 5 Let o(v) = v - 38. Let z be o(16). Let c be (-2)/11 + 0 - (-62)/z. Put c, -1, -13 in descending order. -1, c, -13 Suppose 3*j + 84 = 5*z, -z = 3*j + 1 - 25. Suppose 0 = 4*m + 14 - z. Let p = 0 - -0.1. Sort p, m, -4 in ascending order. -4, p, m Let f be (9/(-15))/((-1)/(-5)). Let l be 1/(-3*(1 + -3)/(-6)). Put 0.3, f, -6, l in ascending order. -6, f, l, 0.3 Let l = 179 + -171. Put -0.01, -0.4, l in decreasing order. l, -0.01, -0.4 Let a = 2.49 + -2.09. Put -1/6, -3, a, -6 in decreasing order. a, -1/6, -3, -6 Let b = -421 - -418. Sort b, -2, -12, 4 in increasing order. -12, b, -2, 4 Suppose 8*s - 10*s = -14. Sort -5, 3, s in decreasing order. s, 3, -5 Suppose -3*g + 1 = i, 11 = -3*i - g + 6*g. Suppose 5*a + 0*s - 10 = -3*s, 0 = -5*s. Suppose -a*z + 9 = -5*z. Sort z, i, -4 in increasing order. -4, z, i Suppose -h - 6*a = -4*a + 26, 0 = -2*a + 10. Let b be (-112)/(-180) - (h/(-15) - 2). Sort 2, 1, b, -1 in ascending order. -1, b, 1, 2 Let z be (-26)/(-10) + (-20)/(-50). Let t be (-1)/(5/2 - z). Sort -4, t, -3 in increasing order. -4, -3, t Suppose l + 5 = -0*l. Suppose -10*w - 21 = -1. Let v(b) = -10*b**3 - 2*b**2 - 2*b - 1. Let p be v(-1). Sort p, w, l. l, w, p Suppose 9 = 4*z - 2*t - 45, -5*z + 90 = 5*t. Let q = 74 + -58. Suppose q*f = 21*f - z. Sort -2, 1/2, f in increasing order. -2, 1/2, f Let w be (-1)/(-12)*(4 - 7). Put 83, w, 4 in ascending order. w, 4, 83 Let a be 70/504*4*3/5. Put a, -0.2, -3, -97 in descending order. a, -0.2, -3, -97 Let m be (2 - 1) + 40/(-25). Suppose 3*p + 6*w = 2*w + 78, 4*p - 104 = -2*w. Let b = p + -79/3. Put -5, b, m in increasing order. -5, m, b Suppose -5*b + 21 = 1. Suppose 6*x - b = -28. Sort 4, 2, x. x, 2, 4 Suppose 5*s + 5*q = s - 15, 0 = 4*s - q + 21. Let z = 7 - 7. Let w = 0.1 - z. Sort s, w, 0.2. s, w, 0.2 Suppose -4*d = -0*d + z + 121, 5 = -z. Put d, -2, -5 in descending order. -2, -5, d Let o = 0.039 + 33.961. Let x = 39 - o. Let h = 7.7 + -8. Sort h, -1, x. -1, h, x Let k(b) = -b**2 + 4*b + 27. Let t be k(11). Let d be 15/t*(-5)/(-9). Sort -0.2, d, -3 in ascending order. -3, -0.2, d Suppose 2 = 5*g + 7. Let j(x) = -x**3 - 6*x**2 - x - 3. Let q be j(-6). Let o = -75 + 80. Sort o, g, q in decreasing order. o, q, g Let h = 2.5 + -0.5. Let t be -1 - 4/(-7*(-2 + 16/28)). Sort h, -4, t. -4, t, h Suppose 4*y + 18 = 2*l + 2, 0 = -5*y - 2*l - 2. Let s = 6474 - 6473. Sort 5, y, s, 11 in increasing order. y, s, 5, 11 Let v(d) = -d**2 + 6*d + 4. Let z be v(5). Let t be (78/65)/((-2)/5). Sort z, 0, t. t, 0, z Suppose 3*r - 12 - 3 = 0, 5*r - 29 = -2*k. Sort 5, k, -6, 10 in ascending order. -6, k, 5, 10 Let g = 2.5 - 7.5. Let i = 0 - g. Sort -18, -1, i, 2 in ascending order. -18, -1, 2, i Let g = -65 - -65. Sort -13, g, -2, 3 in ascending order. -13, -2, g, 3 Suppose z - 2*s = 1 - 2, -7 = z - 4*s. Let o = -17 + 20. Put -5, z, o in increasing order. -5, o, z Let t = -1/693 + -689/2772. Sort 0.2, -0.1, t, -0.011. t, -0.1, -0.011, 0.2 Let u(d) = d**3 + 28*d**2 + 51*d - 13. Let l be u(-26). Put -1, l, -4, -2 in descending order. l, -1, -2, -4 Let t = -129 + 129. Let m be 32/66 + (-6)/9. Put m, 0.05, t in decreasing order. 0.05, t, m Let q(j) = 3*j + 51. Let u be q(-17). Suppose -2*g + 14 - 18 = u. Put 4, -9, g, 3 in decreasing order. 4, 3, g, -9 Let y be ((351/(-52))/(-27))/(6/(-8)). Let a = -0.1 - 0.1. Put 5, a, y, -4 in decreasing order. 5, a, y, -4 Let k = -7 - -4. Let m = 1.3 - 0.3. Let n = m + 2. Put 2/5, k, n in descending order. n, 2/5, k Let o = -150 - -150. Let r = 43 - 24. Suppose 5*d + r + 1 = o. Put 3, 0.5, d in descending order. 3, 0.5, d Let d be 54/(-10) - (1034/(-110) - -9). Put -17, -2, 7, d in decreasing order. 7, -2, d, -17 Let r = 546 + -546. Put -2, -1/3, -0.01, r in increasing order. -2, -1/3, -0.01, r Let z = 886 + -899.33. Let o = z - -0.33. Let c = 14 + o. Put -1, 0, c in descending order. c, 0, -1 Let o be (120/(-100))/((-3)/5). Suppose -o*x - 4 = -c - c, 0 = -3*x + 5*c - 4. Put 1, x, -1 in decreasing order. 1, -1, x Let h = 25 - 22. Let u be 1/(-4) + 21/(-12). Let s(v) = 2*v**3 + v**2 - v. Let b be s(1). Sort b, u, h in ascending order. u, b, h Let a be 2/(14/(-1))*2. Let r(i) = i**3 + 21*i**2 - 2*i - 43. Let z be r(-21). Sort z, a, 3 in decreasing order. 3, a, z Let z = -253 - -258. Sort -0.4, z, -1/2, 3/2 in decreasing order. z, 3/2, -0.4, -1/2 Let y = 2488.91 - 2490. Sort y, 1/3, -0.9 in decreasing order. 1/3, -0.9, y Let r = 5.108 - 0.108. Sort 0.2, r, 4, -2 in descending order. r, 4, 0.2, -2 Let h be (-4)/7 + 1 - 0. Let t = -924 + 927. Put 5, h, t in decreasing order. 5, t, h Let l = -4.08 - -0.08. Let f = 14 + -17. Let t = -0.3 - -1.3. Sort f, l, t in increasing order. l, f, t Let g be ((-14)/(-10) - 1)*-5. Let v = 8.663 + 0.037. Let j = v + -8.9. Put 3, g, j in decreasing order. 3, j, g Let x = -19 - -18. Suppose -l - 10 = 3*p, l - 3*p = 1 + 19. Suppose -22 + 2 = l*z. Sort -5, x, z. -5, z, x Let j be 1/(-2) - 27/(-6). Let o = 36 + -20. Sort o, -3, j in decreasing order. o, j, -3 Let s(c) = -c - 5. Let y be s(-3). Let f = -47 - -42. Let j be 0 + 2 + (-4 - f). Sort y, 0, j in descending order. j, 0, y Let j(i) be the first derivative of -i**3/3 - 3*i**2/2 - 2*i + 3. Let y be j(-1). Put y, -5, 1 in ascending order. -5, y, 1 Let w = -360 - -364. Sort -1, w, 73 in increasing order. -1, w, 73 Suppose -2*k = 3*b + 4 + 18, 0 = 4*b - 3*k + 35. Suppose 4*j - 2*w = 70, 2*j = 4*w - 9*w + 65. Let x be 2/(j/b - -3). Sort 5, x, 3 in ascending order. 3, x, 5 Let j = -536 - -536. Put 5, -11, 1, j in decreasing order. 5, 1, j, -11 Let u(w) = w**3 + 9*w**2 + 6*w + 6. Let c(m) = m**3 + 10*m**2 + 7*m + 6. Let o(r) = -4*c(r) + 5*u(r). Let q be o(-5). Sort 2, 0, q. q, 0, 2 Suppose 13*v = 17*v + 164. Let n = 124/3 + v. Put n, -4, -2/17 in descending order. n, -2/17, -4 Let q = -19.7 - -20.7. Suppose -4*j + 21 = 2*t - 11, -28 = -4*j - t. Let m(k) = -k**3 + 7*k**2 - 7*k + 9. Let f be m(j). Put -4, f, q in ascending order. -4, q, f Let h = 574 - 579. Put 0, 3, h, 4 in descending order. 4, 3, 0, h Let f = -7 - -7.05. Let h = -11.05 + f. Let i = h + 11. Put 4, i, 4/7 in ascending order. i, 4/7, 4 Suppose c - 3 = -2*r - 0*c, 0 = 3*r - 3*c - 18. Suppose -5*z + r = -12. Suppose -3*p - 4 = -5*t, -t - 7 = 340*p - 338*p. Sort -2, z, t in decreasing order. z, t, -2 Suppose o + 2*o - 6 = 0. Sort o, 1/12, 12. 1/12, o, 12 Suppose 12 = -5*h - 0*s + s, 2*s = -h - 9. Suppose -y = y. Let m(l) = -l**2 - 19*l - 92. Let g be m(-10). Put g, y, h in decreasing order. y, g, h Let p = 282.1 - 283. Let a = -0.06 - -0.56. Put a, p, 5 in descending order. 5, a, p Let p = 48/17 + -319/119. Sort -2, p, -2/131. -2, -2/131, p Let u = -0.082 - -7.082. Let d = -6.9 + u. Put d, 1/3, -1 in descending order. 1/3, d, -1 Let s = -190 + 183. Put 11, 2, s in increasing order. s, 2, 11 Let h(p) = -3 - p + 0 - p + 6*p. Let u(f) = -4*f + 3. Let x(r) = 5*h(r) + 6*u(r). Let c be x(2). Put c, 4, 3 in descending order. 4, 3, c Suppose 5*w = 3*l - 34, l + 2 = -0*l - 5*w. Let g(n) = 4*n**3 + 3*n**2 - 3*n. Let k be g(-3). Let t be (15/l)/(k/32). Put -2, -5, t in descending order. t, -2, -5 Suppose 1572*v = 1579*v. Put v, -5, 108 in increasing order. -5, v, 108 Let z = 1 - 4. Suppose 5*j + 29 = 54. Sort -2, j, z in descending order. j, -2, z Let l be 1/(-2)*(-840)/(-28). Sort l, -2, 1, 5 in ascending order. l, -2, 1, 5 Suppose 0 = -5*f + 4*y - 42, 3*y + 3 - 6 = -f. Let w be 2/f*(5 - (4 + 4)). Let h be (6/8)/((-2)/8). Sort h, -2, w in increasing order. h, -2, w Let t be 45/(-165)*6134/6. Let i = 279 + t. Put 0.19, 2/7, i in ascending order. i, 0.19, 2/7 Suppose 11 = 3*f + 5. Suppose 0 = -3*x - f*x + 15. Let i = 3 - -1. Sort x, i, -2 in ascending order. -2, x, i Suppose 0 = -3*g - 2*x + 4, 0 = 2*g - 7*g - 4*x + 10. Sort -4, g, 1, -1 in increasing order. -4, g, -1, 1 L
{ "pile_set_name": "DM Mathematics" }
= u, 3*u - 4*o = -17 for u. -3 Suppose 30 - 21 = -2*a - 3*u, u = -5. Solve 5*n = -4*r - 2 - 24, -a*n - 10 = r for r. -4 Suppose 33*g + 3*g - 58 = 7*g. Solve 5 = w + 2*d, -d + g = -0 for w. 1 Let o be 184/10 + (-1673)/1195. Suppose 3*j - 6 = -0*j. Solve -j*a = 5*c - 17, 4*a = a + c - o for a. -4 Let m = 585 - 980. Let i = m + 400. Solve -2*q - r - 6 = 0, 15 = -5*q - i*r + 5 for q. -4 Let q = 458 + -454. Let a = 1 - -1. Solve q*w - 24 + 8 = -4*o, 0 = -a*w + 4*o - 16 for w. 0 Let t = -8 - -9. Suppose 3*i - 11 - t = 0. Suppose -i*z + 85 = -35. Solve 5*n = l + l - 35, -5*l = -n - z for n. -5 Let k be (6/9)/(-2) - (-8124)/(-36). Let n = 238 + k. Solve 5*y = 3*i + 2, -i + n = -4*y - 2*i for y. -2 Suppose 0 = -5*y - 3*z + 189, y = 5*y - 5*z - 129. Suppose -23*d + 21*d = -y. Solve -3*a - 10 = i, 0*a - d = a + 4*i for a. -2 Let t = -80 - -144. Suppose -33*v + 17*v + t = 0. Solve -n + 6*n + v*k = 2, n = 5*k + 12 for n. 2 Let p(x) = -x**3 + 4*x**2 + 14*x - 12. Let a be p(6). Suppose 287*i - 286*i - 3 = a. Solve -i = 5*d - 3*n + n, -5*d + 3*n = 2 for d. -1 Suppose 0 = -s - 2*f + 32, -4*s = -f + 4*f - 133. Let i(o) = -o**3 + 33*o**2 + 35*o - 30. Let j be i(s). Solve 0*h = -2*a - j*h - 2, 0 = -2*a - h - 8 for a. -5 Let o = -219 + 223. Suppose o*s - 57 = 7. Let m be 2/5*(11 - 1). Solve -m*i = v + 5 - 13, -4*v - s = 0 for i. 3 Let k(a) = 614*a + 5530. Let i be k(-9). Solve n + 4*b = i - 10, -4*b = 4*n + 12 for n. -2 Let l(c) = -2*c - 4. Let r be l(-3). Let i = 67449 + -67445. Solve i*y = 4*h - 16, 5*h - 15 = r*h for y. 1 Let u be 3 - (-1 - 2)*3 - 0. Let l = -12 + u. Suppose -5*w + 0*w + 0*w = l. Solve z - 1 = o, w*z - 4*z + 2*o = -10 for z. 4 Let w = -10273 + 10276. Solve -83*u = -84*u + 4*t + 29, 0 = -4*u + w*t + 38 for u. 5 Let w be 1/1*(3/3 - -3). Let m = w - 7. Let p(a) = a**3 + 5*a**2 + 6*a + 7. Let v be p(m). Solve s + 2 = -s, s - v = -2*k for k. 4 Let q = 4 - 1. Suppose -83*a + 5*z = -87*a + 36, 0 = -5*a - 5*z + 40. Solve -i + 23 = 5*x, -q*x + 11 - a = 4*i for i. -2 Let j = -108 + 112. Let s(d) = -10*d + 74. Let n be s(7). Solve -11 = -2*v + h - n*h, -4*h = -j for v. 4 Suppose -12 = 3*r, 4*r = -4*y - 18 + 22. Solve -20 = -y*z - x, -z - 4*x = -4 + 19 for z. 5 Let j(k) = k**2 + 26*k - 222. Let i be j(-33). Suppose -i = -u + v, 0 = -4*u - 0*u + v + 21. Solve 0 = u*p - 8, -3*t = t + 4*p - 28 for t. 5 Suppose 3*u - 183 = -4*h, -5*u + 10*u = -2*h + 81. Suppose 50*i = h*i. Solve -4*d = -i*d - 5*p + 2, 2*p = -d - 7 for d. -3 Suppose -2*c - 14 = 0, -a = -c - 33 - 5. Solve 40*j - 35*j + x = 25, 3*x = -4*j + a for j. 4 Let n(u) = u**3 - 19*u**2 + 5*u + 25. Let x be n(19). Let k = x + -111. Suppose 26 = k*h - 8*h. Solve 2*q = 2*m - 4 - 8, -h = -3*m + 5*q for m. 2 Let o = -5300 + 5305. Solve 4*f + 10 = -3*x, -2*f + o*f - 3*x = 3 for f. -1 Let c(q) = q**3 + 4*q**2 - 25*q - 98. Let x be c(-4). Solve -2*g = 2*w - 2, 3*g + g = x*w + 28 for w. -4 Suppose 3*j + 4*v - 44 = 0, -v - 81 = -2*j - 3*j. Let z be (-1066)/(-123)*18/39*(-2)/(-2). Solve 5*x + 5 = 0, b + 2*b + z*x = -j for b. -4 Suppose d - 45 + 57 = 0. Let h be -2*(-1 - (6/d)/(-1)). Solve h*w + 4*n - 5 = 0, -2*n = w + 3*w for w. -1 Suppose 14*j = 129 + 75 - 8. Solve 2*q = 4*b - 0*q - j, -4*q = 3*b - 16 for b. 4 Suppose -4*w = 9 - 33. Suppose j - 15 = -2*v, 5*j - w = 5*v - 21. Let r be v*1 - (1 - -1). Solve -r*a - b + 25 = 0, 5*a - b = 3*b + 5 for a. 5 Let w(u) = -u**3 + 12*u**2 + 3. Let d be w(12). Suppose -173 = 5*x - 183. Solve 3*g - x*m + 0 = -4, d*g - m = -5 for g. -2 Let h be (-1)/(-2)*(-107 + 4/4). Let t be h/(-2 + 6 - 3). Let q = -50 - t. Solve -2*g + q*g - 12 = 4*p, 3 = -p - 4*g for p. -3 Let d = -541 - -358. Let u = -169 - d. Solve 0 = -4*j - 2*b + 26, j - 4 = 5*b - u for j. 5 Suppose 12*i + 12133 = -23. Let j = i + 1013. Solve 4*z + 26 = -2*o + 6, -5*o - 20 = j for z. -3 Let h = 53 - 47. Suppose h*v - 4*v - 8 = 0. Let y be ((-10)/v*56/70)/(-1). Solve -4*f + 8 = 4*t - 0, 5*t + 4 = y*f for f. 2 Let g be (2/(-6))/((-4)/228). Let a = g + -15. Suppose t + a = 8. Solve -4*k - t*y - 20 = 0, -1 = 5*k - 2*y - 4 for k. -1 Suppose j = -5*r, r = j - 2*j. Suppose 8*h - 3*h + 5 = 5*a, j = 5*a - 5. Solve 2*c + 2*b - 6 = 0, -c - 4*b + 11 - 2 = h for c. 1 Suppose 31 = -4*r + 47. Suppose -3*b - 5*h + 41 = 0, -b + 5*b = r*h + 12. Solve -z - 5*p + b = 0, 5*p = 3*z - 5*z + 9 for z. 2 Suppose -3*u + 1180 = 4*q - 8*q, -3*u = -q - 1168. Let z = 390 - u. Solve 3*v + z*v - 19 = -k, 0 = 4*v + 5*k - 11 for v. 4 Suppose 11*s + 13 = -31. Let t be 12/(-42) - ((-16)/(-14))/s. Solve 4*w - a - 3*a + 24 = 0, w - 4*a + 15 = t for w. -3 Suppose -y + 0*l - 320 = -3*l, -5*l = y + 296. Let r = y - -313. Solve -3*o - 4*v + 14 = 0, r*o + 2*v = 6*o - 4 for o. 2 Let z = 59 - 56. Suppose i + z = -3*j, -j - j = -5*i + 2. Solve s - 2*p + 7 = i, -4*s + 5*p = 14 + 8 for s. -3 Let a = 31619 - 31617. Solve -a*q + 5*r = -21, -4*r = -5*q - 2*q + 6 for q. -2 Let a = 2 - -1. Let c(b) = -b**3 - 70*b**2 - b - 51. Let g be c(-70). Suppose 6 = 4*o - 6. Solve -2*z - a*p + g = o, 3*p = -z + 11 for z. 5 Suppose -4*s + 12 = -4. Let k = 149 + -144. Let f = k - 5. Solve f*p + 5*z - 20 = -s*p, -3*p = -5*z - 15 for p. 5 Let g = 5955 - 5902. Solve 0 = -4*w - 4, 2*u - 2*w + 43 = g for u. 4 Let z be 2*-5*(6 - 117/18). Let n be (2/((-20)/(-6)))/(4/20). Suppose -3 = -2*b + 1. Solve n*t - 10 = z*q, -b*t - 2*t + 2 = -q for q. -2 Suppose -2*j = 2*i - 12, -5*j - 21*i + 19*i = -24. Solve -2*k = j*q - 14, 0 = -12*q + 7*q - 5*k + 20 for q. 3 Suppose 17*l + 4*c + 9 = 18*l, 4*l - 4*c = 0. Let s be (13/l - -5)/(6/45). Solve 2*t + 2 = -d + 9, t + s*d = 8 for t. 3 Let i = 36057 + -36048. Solve 12*u - 39 = -3*z + i*u, 5*u = 40 for z. 5 Let u = -33 + 70. Suppose 0 = 32*g - u*g + 30. Let k = 5 + 0. Solve -k*o - 10 = q, -g*o - 20 = -o - q for o. -3 Suppose 5*f - 37 = -3*m, -5*f - 37 + 70 = 2*m. Suppose -5*l + l = 5*y - 28, -m*y + 26 = 5*l. Solve -35 = 5*r - l*k, -3*k = -16 + 1 for r. -5 Suppose 0 = 51*u + 59*u - 126*u + 224. Solve -4*v = -2*c - 6, u*v - 11*v + 2*c - 15 = 0 for v. 3 Let w = -1 - -4. Suppose 3*n - 4135 = -5*v - 2*n, 5*n + 3326 = 4*v. Let i = v + -812. Solve 5*f + 5*l = 30, -f + w*l = i - 3 for f. 1 Let v be (6/(-4))/((-9)/(-558)). Let h = v - -93. Solve h*l = -4*s + 2*l - 10, 0 = 2*s - 4*l - 10 for s. -5 Let w be 469/70 - (-3)/10. Let q(t) = t**3 - 8*t**2 + 2*t + 40. Let k be q(w). Solve r = -4*d, 4*r + k*d = r for r. 0 Suppose 1 = -u + 2*u, 5*u = 4*c + 921. Let z = -135 - c. Let d = z + -94. Solve -4*o - 3*r - 12 = d, -5*r + 3 = -o - 10*r for o. -3 Let n = -85 - -113. Suppose k = -s + 28, s + 3*s - 82 = 2*k. Let o = n - s. Solve -j + 37 = -o*j - 5*g, -j = -g - 2 for j. -3 Suppose -3*j + 50 = -2*k, -3*j - k = -49 - 7. Solve j*i = -3*d + 16*i + 9, -2*i = 0 for d. 3 Suppose -43*v - 268 + 397 = 0. Solve 4*x - 2*w = 6*x - 18, 2*x + v*w = 23 for x. 4 Let l be 2/4*0/14. Suppose -6*d + 2*d + 12 = l. Suppose -g + 7 = d. Solve g*w = i - 15, -3*w - 5 = -0*i - 2*i for w. -5 Suppose 2*l - 54 = -2*k, 3*l + 4*k + 72 = 5*l. Let s be (-8)/2*(-30)/l. Solve -1 + 2 = -2*i - q, -s*i - 5*q = 11 for i. 1 Suppose 85*l - 57 = 82*l. Suppose 4*d - 5*b = 41, -l + 4 = -5*d - b. Solve 2*f = -3*z + 18, -5*z + 13 + d = -f for z. 4 Let r(w) = w**2 - 13*w + 35. Let h be r(3). Suppose m + 2*t - 18 = 0, 13*t - 12*t = -h*m + 99. Solve 5*d + m = -5*y, -y + 2*d = -d for y. -3 Suppose -6 = -3*r + a, 2 = -177*r + 178*r + 2*a. Solve -65*f - r*o + 4 = -69*f, 4*o - 16 = 0 for f. 1 Suppose 0 = 33*r - 70*r + 46*r - 72. Solve 0 = -107*s + 104*s + 4*t - r, -5*s + 25 = t for s. 4 Let d be 1*(1 + 1)/2. Let c(y) be the second derivative of 13*y**3/6 - y**2 - 665*y. Let i be c(d). Solve 0 = 3*h - 0 + 6, -3*f = -h - i for f. 3 Let m be 3405/(-165) + (-16)/44. Let l be 50/(-20) - m/2. Solve l*f - 8 = 3*f + 4*g, 9 = 3*g for f. 4 Suppose 6*w + 5775 = -5*w. Let d = 528 + w. Solve -4*v - 4*o = 16, 4*o + 15 = -d*v - 0*v for v. -1 Let f(y) = 5*y + 39. Let t be f(-7). Let i be ((-5)/(-15))/((-3)/(-27)). Suppose -2*a = 3*o - 6, i*a + o - 6 = a. Solve -12 = m - t*m, 4*c + a*m + 8 = 0 for c. -5 Let m = 5376 - 5372. Solve m*b = -4*w, -w + 8 = -2*b + w for b. -2 Let o = -12335 + 12358. Solve 21 = 3*j - 2*p + o, 1 = 2*j + p for j. 0 Let o(q) = -42*q + 635. Let m be o(15). Solve 16 = -3*v - 4*x, -m*v - 5*x - 10 - 10 = 0 for v. 0 Suppose
{ "pile_set_name": "DM Mathematics" }
3, j: 13, l: 4}? 78/1615 Four letters picked without replacement from jbjbjbbbxbbbbxbbb. What is prob of picking 1 b and 3 j? 3/595 Two letters picked without replacement from dvududdeduddjtdtvtuu. What is prob of picking 1 j and 1 u? 1/38 Two letters picked without replacement from agssgtaggassattg. Give prob of picking 2 g. 1/12 Two letters picked without replacement from {z: 9, x: 2, f: 1, n: 2}. What is prob of picking 2 z? 36/91 What is prob of picking 4 y when four letters picked without replacement from {y: 5}? 1 Four letters picked without replacement from kkxkkkkwjkkwkkkkxxk. What is prob of picking 1 k and 3 x? 13/3876 What is prob of picking 1 d and 1 a when two letters picked without replacement from nunqajd? 1/21 Three letters picked without replacement from whostfs. Give prob of picking 1 t, 1 s, and 1 h. 2/35 Two letters picked without replacement from ndjxb. What is prob of picking 1 n and 1 x? 1/10 What is prob of picking 2 q and 1 g when three letters picked without replacement from {g: 11, q: 3, o: 4}? 11/272 Three letters picked without replacement from xgjrrojkjgggrj. Give prob of picking 3 j. 1/91 Calculate prob of picking 1 t, 1 d, and 1 v when three letters picked without replacement from tvtdddtt. 3/14 Two letters picked without replacement from {k: 12, v: 7}. Give prob of picking 1 k and 1 v. 28/57 What is prob of picking 1 g and 1 l when two letters picked without replacement from {g: 6, l: 2}? 3/7 Four letters picked without replacement from {q: 4}. Give prob of picking 4 q. 1 Three letters picked without replacement from {u: 2, b: 10}. What is prob of picking 3 b? 6/11 What is prob of picking 2 i and 2 v when four letters picked without replacement from {v: 2, t: 8, c: 2, i: 6}? 1/204 Calculate prob of picking 2 x, 1 p, and 1 a when four letters picked without replacement from {l: 5, a: 4, x: 6, p: 1, b: 4}. 4/323 Four letters picked without replacement from pppppppppp. What is prob of picking 4 p? 1 Calculate prob of picking 1 v, 1 m, 1 h, and 1 u when four letters picked without replacement from hxmumhvhhuuhuvxxvh. 4/85 What is prob of picking 3 l when three letters picked without replacement from qqqqlqqqqqqlqlqqqqqq? 1/1140 What is prob of picking 4 w when four letters picked without replacement from {c: 6, w: 6}? 1/33 What is prob of picking 1 d and 2 c when three letters picked without replacement from {d: 1, j: 1, c: 2, t: 2, l: 1, o: 2}? 1/84 Three letters picked without replacement from mggmm. Give prob of picking 3 m. 1/10 Two letters picked without replacement from {e: 4, j: 5, h: 1, u: 8}. Give prob of picking 1 j and 1 u. 40/153 Two letters picked without replacement from {b: 2, f: 6}. What is prob of picking 2 f? 15/28 What is prob of picking 1 l and 1 o when two letters picked without replacement from {o: 2, l: 2, x: 4}? 1/7 Calculate prob of picking 3 b when three letters picked without replacement from {b: 6}. 1 What is prob of picking 1 v and 1 o when two letters picked without replacement from ytyybotojvo? 3/55 What is prob of picking 4 f when four letters picked without replacement from {f: 4, j: 10}? 1/1001 What is prob of picking 1 z and 1 i when two letters picked without replacement from piz? 1/3 What is prob of picking 2 q and 1 o when three letters picked without replacement from {q: 5, w: 2, l: 1, a: 5, b: 1, o: 5}? 50/969 Calculate prob of picking 1 q and 2 p when three letters picked without replacement from qqqpqqpqpqq. 8/55 Calculate prob of picking 2 k and 2 q when four letters picked without replacement from {n: 2, t: 1, d: 1, k: 6, q: 3}. 9/143 Three letters picked without replacement from wnneewrniewnnnwirwwr. Give prob of picking 1 i, 1 r, and 1 w. 3/95 Four letters picked without replacement from xxujjjx. Give prob of picking 1 x and 3 j. 3/35 What is prob of picking 2 s when two letters picked without replacement from {e: 1, n: 1, o: 1, a: 1, s: 2, h: 1}? 1/21 Four letters picked without replacement from jzzjloxoiiizj. Give prob of picking 1 z, 1 x, 1 o, and 1 i. 18/715 Calculate prob of picking 2 n, 1 c, and 1 m when four letters picked without replacement from ggwimnginngc. 1/165 Two letters picked without replacement from hzlxinxz. Give prob of picking 1 x and 1 n. 1/14 Calculate prob of picking 2 o and 1 r when three letters picked without replacement from {r: 7, w: 5, o: 2}. 1/52 Calculate prob of picking 1 a and 1 l when two letters picked without replacement from lallllallllallll. 13/40 Calculate prob of picking 1 j and 1 u when two letters picked without replacement from jkcujuuuukcku. 2/13 Three letters picked without replacement from {t: 3, n: 4}. Give prob of picking 1 t and 2 n. 18/35 Calculate prob of picking 1 x and 2 b when three letters picked without replacement from hpbxlbg. 1/35 Three letters picked without replacement from prrrzzzzrpf. What is prob of picking 3 z? 4/165 What is prob of picking 1 j and 3 b when four letters picked without replacement from bjbbbbbnjnnn? 8/99 What is prob of picking 1 k and 1 w when two letters picked without replacement from kkmzkzwmakbmk? 5/78 Two letters picked without replacement from {a: 2, w: 1, e: 2}. What is prob of picking 1 a and 1 e? 2/5 What is prob of picking 2 i when two letters picked without replacement from {k: 1, i: 2, w: 2}? 1/10 Three letters picked without replacement from sxsdshdysssx. Give prob of picking 1 y, 1 h, and 1 x. 1/110 Calculate prob of picking 1 c, 2 g, and 1 k when four letters picked without replacement from {k: 1, a: 2, i: 3, w: 1, g: 3, c: 2}. 2/165 Three letters picked without replacement from {v: 1, p: 1, k: 11, o: 4, l: 1}. What is prob of picking 1 v, 1 l, and 1 p? 1/816 What is prob of picking 1 f and 1 x when two letters picked without replacement from xxxxxxxf? 1/4 What is prob of picking 1 y and 3 b when four letters picked without replacement from ybyyybbybbyy? 14/99 What is prob of picking 3 o when three letters picked without replacement from oovolooooooooovll? 11/34 Calculate prob of picking 1 a, 2 j, and 1 m when four letters picked without replacement from {j: 3, a: 1, f: 2, m: 1}. 3/35 Two letters picked without replacement from {y: 8, i: 3}. What is prob of picking 2 i? 3/55 Calculate prob of picking 1 h and 2 j when three letters picked without replacement from jhyhj. 1/5 What is prob of picking 2 f when two letters picked without replacement from {w: 5, f: 2, q: 3}? 1/45 Calculate prob of picking 2 p when two letters picked without replacement from pnnpupwwuwwuppnwp. 15/136 Two letters picked without replacement from nrnbbnnzrxrnbn. What is prob of picking 1 r and 1 x? 3/91 Two letters picked without replacement from {v: 3, n: 2, x: 1, h: 3, e: 6, k: 4}. What is prob of picking 1 h and 1 x? 1/57 Calculate prob of picking 2 u and 1 i when three letters picked without replacement from saiususuuisssasiassu. 1/38 Three letters picked without replacement from {b: 5, j: 3, e: 1, s: 1, g: 5}. Give prob of picking 1 g, 1 j, and 1 e. 3/91 Calculate prob of picking 1 u, 2 r, and 1 x when four letters picked without replacement from xrrrurrrr. 1/6 Two letters picked without replacement from {s: 1, e: 3, l: 2, x: 2, a: 4}. Give prob of picking 2 s. 0 What is prob of picking 2 o and 2 g when four letters picked without replacement from {g: 4, o: 5, v: 1}? 2/7 What is prob of picking 2 x when two letters picked without replacement from {l: 1, f: 5, d: 2, x: 4, n: 2}? 6/91 Calculate prob of picking 1 z and 1 o when two letters picked without replacement from ezhmeox. 1/21 Two letters picked without replacement from aatit. What is prob of picking 2 a? 1/10 Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {z: 1, e: 5, b: 4, d: 4, u: 2}. 1/15 Calculate prob of picking 1 e and 1 j when two letters picked without replacement from jktkkkikmikkeet. 2/105 Two letters picked without replacement from {i: 3, h: 2}. What is prob of picking 1 h and 1 i? 3/5 What is prob of picking 4 k when four letters picked without replacement from tktttkktkktttt? 5/1001 Three letters picked without replacement from {m: 4, e: 2}. What is prob of picking 3 m? 1/5 Calculate prob of picking 1 m and 1 a when two letters picked without replacement from amamraara. 5/18 Three l
{ "pile_set_name": "DM Mathematics" }
). -14*l**2 + 23 Let i(a) = a. Let d be (-80)/(-15) + (-1)/3. Let x(j) = -8*j**2 - 6*j - 6. Let h(r) = -7*r**2 - 5*r - 5. Let p(u) = d*x(u) - 6*h(u). Determine p(i(t)). 2*t**2 Let f(h) = -5*h**2 - 77. Let d(t) = 3*t. Determine d(f(j)). -15*j**2 - 231 Let n(x) = 10 + 20*x**2 - 10 - 22*x**2. Let m be (1 + 2)/(3/2). Let p(y) = y**2 + 2 - m. Calculate n(p(h)). -2*h**4 Let b(y) = 14*y. Let q(u) = u**2 - 7*u + 7. Let k(x) = 2*x - 2. Let i(d) = -7*k(d) - 2*q(d). What is b(i(m))? -28*m**2 Let m(y) = 28*y + 1. Let i(p) = -p - 27. Determine m(i(q)). -28*q - 755 Let a(l) = 4*l**2 + 5. Let y(j) = -3*j**2 - 4. Let p(s) = -4*a(s) - 5*y(s). Let i(u) = 8*u**2 - 12*u**2 + u**2. Give p(i(z)). -9*z**4 Let i(p) = 2*p**2. Let o(v) = -141*v**2. Give i(o(q)). 39762*q**4 Let i(z) = -4*z**2. Let o(y) = 6*y**2 + 0*y**2 - 2*y**2 - 2*y**2. Calculate i(o(q)). -16*q**4 Let y(o) = -3*o. Let x(r) = 2*r**2 + 5. What is x(y(c))? 18*c**2 + 5 Let q(x) be the first derivative of 2*x**3/3 + 1. Let r(k) be the first derivative of -5*k**3/3 - 12. Determine q(r(m)). 50*m**4 Let c(f) = -f. Let j(o) be the second derivative of -4*o**3/3 + o. What is j(c(p))? 8*p Let a(v) = -v**2 - 53*v. Let r(h) = -6*h**2. Calculate a(r(x)). -36*x**4 + 318*x**2 Let g(i) = i. Let x(u) = -13*u + 15*u - 16*u - 25*u. Give x(g(r)). -39*r Let m(x) be the second derivative of -x**5/40 + 2*x**3/3 - 3*x. Let r(v) be the second derivative of m(v). Let q(h) = 3*h. Give q(r(b)). -9*b Let y(u) be the first derivative of -u**2 - 4. Let k(p) = 3*p**2. Calculate y(k(z)). -6*z**2 Let b = -15 - -17. Let g(f) be the first derivative of 0*f + 0*f**b + 2 - 1/3*f**3. Let w(u) = u**2. Calculate g(w(j)). -j**4 Let r(v) = 2*v + 2. Let z(g) = 0 + 0 - 1. Suppose -4*d + 6 + 8 = -2*j, 0 = -j + 4*d - 13. Let o(k) = j*r(k) - 2*z(k). Let y(i) = i**2. Give o(y(t)). -2*t**2 Let a(z) = 8214*z. Let v(w) = -2*w**2. Calculate v(a(t)). -134939592*t**2 Let s(n) = -n**2. Let x(d) = -2 + 2 + 408*d**2 - 392*d**2. Determine x(s(w)). 16*w**4 Let j(p) = p**2 - 3*p. Let u(v) = -v**2 + 2*v. Suppose 0 = -4*b - 0*b - 8. Let q(y) = b*j(y) - 3*u(y). Let l(d) = -2*d. Give l(q(z)). -2*z**2 Let u(z) = -3*z**2. Let j(h) = -10*h + 12. Let d(w) = -w + 1. Let l(b) = 12*d(b) - j(b). Determine l(u(y)). 6*y**2 Let u(o) = 3*o - 3*o + 4*o - 2*o. Let m(l) = -l - 2*l + 5*l. Determine m(u(a)). 4*a Let c(r) = 5*r**2 + 4. Let b(k) = k**2 - 84. Determine c(b(o)). 5*o**4 - 840*o**2 + 35284 Let q(z) = 3*z**2 + 6. Let j(s) = s**2 - 1. Let k(x) = -6*j(x) - q(x). Let y(o) = 2*o**2. Calculate k(y(b)). -36*b**4 Let c(z) = 3*z**2. Let j(r) = -8*r + 11. What is j(c(p))? -24*p**2 + 11 Let c(b) be the first derivative of b**3 - 2. Let i(w) = -2*w - w + 4*w. What is i(c(m))? 3*m**2 Let a(y) = 5*y**2. Let p(i) = 95*i**2 - 35. Let o(g) = -8*g**2 + 3. Let n(v) = -35*o(v) - 3*p(v). Calculate a(n(f)). 125*f**4 Let q(k) = 11*k**2. Let r(w) = 52 + 3*w - 95 + 43. Give r(q(v)). 33*v**2 Let y(v) = 2*v. Let p(l) be the second derivative of -l**7/840 + l**4/4 - 3*l. Let s(x) be the third derivative of p(x). Calculate y(s(u)). -6*u**2 Let k(o) = 2*o**2 - 5*o - 5. Let g(a) = -a**2 + 3*a + 3. Let u(w) = -5*g(w) - 3*k(w). Let b(l) = -14*l**2. Determine u(b(v)). -196*v**4 Let y(t) = 2*t**2. Suppose 0 = -0*l - 4*l + 8. Let i(w) = w + 9*w - l*w. Give i(y(r)). 16*r**2 Let z(s) be the second derivative of -s**3/6 - s. Let m(w) = -10*w**2. Determine m(z(k)). -10*k**2 Let n(z) = -z**2. Let q(f) be the third derivative of -f**5/15 + 20*f**2. Calculate n(q(k)). -16*k**4 Let n(f) = 2*f**2. Let t(p) = -343*p. Calculate t(n(a)). -686*a**2 Let u(a) = -a**2. Let i(w) be the third derivative of w**4/24 + 2*w**3/3 - 2*w**2. Let b(r) = -1. Let z(n) = -4*b(n) - i(n). Calculate u(z(y)). -y**2 Let l(b) be the first derivative of b**6/72 + b**3/3 - 1. Let v(c) be the third derivative of l(c). Let r(y) = -3*y**2. Determine v(r(p)). 45*p**4 Let p(x) be the second derivative of -x**6/180 - 11*x**4/12 + 2*x. Let m(b) be the third derivative of p(b). Let h(j) = j**2. Calculate h(m(y)). 16*y**2 Let w(o) = -o**2. Let d(i) = -3959*i. Determine w(d(t)). -15673681*t**2 Let g(v) = v. Let u(i) be the first derivative of 14*i**3/3 + 3. Give u(g(r)). 14*r**2 Let w(p) be the first derivative of p**4/12 + 2*p + 1. Let q(f) be the first derivative of w(f). Let l(v) = 4*v**2. Calculate l(q(c)). 4*c**4 Let x(u) = u**2. Let g(q) = -28*q**2 + 2. Give g(x(l)). -28*l**4 + 2 Let j(s) be the first derivative of -s**3/3 - 17. Let d(b) = 12*b**2. Give j(d(p)). -144*p**4 Let l(s) be the third derivative of -s**4/12 + 9*s**2. Let w(f) = f**2. Determine l(w(j)). -2*j**2 Let j(t) = -2*t**2 - 2*t**2 + 3*t**2. Let s(w) be the first derivative of 2*w**3/3 + 14. Determine j(s(v)). -4*v**4 Let i be -4 + 3 + (-12)/(-2). Let q(f) = 2*f - i - 3*f + 5. Let y(c) = -c - 2. Let k(z) = 15*z + 33. Let m(d) = -6*k(d) - 99*y(d). What is m(q(a))? -9*a Let c(g) = -12*g**2 + 25. Let u(h) = -8*h. Give c(u(r)). -768*r**2 + 25 Let h(u) be the third derivative of -u**4/12 + 19*u**2. Let o(z) = -37*z**2. Give h(o(c)). 74*c**2 Let k(d) = -d. Let p(q) be the first derivative of -q**3 + 4. Give p(k(r)). -3*r**2 Suppose -16 = -4*l - 0*l. Suppose 4*z = -0*y - 2*y + 16, -4*z + 2 = -5*y. Let r(h) = -l + 1 + 3 - h**y. Let u(p) = -2*p. Calculate u(r(w)). 2*w**2 Let v(o) = 94*o**2. Let m(f) = -16*f. Calculate v(m(l)). 24064*l**2 Let q(y) = 4*y**2. Let o(h) be the third derivative of -h**4/4 + 9*h**2. Determine q(o(t)). 144*t**2 Let b(t) = t**2. Let o(c) = c**3 + 6*c**2 - c - 6. Let m be o(-6). Let h be (-2)/(m/2 + -1). Let r(j) = 2*j**h + 0*j**2 - 4*j**2 + 4*j**2. Calculate b(r(f)). 4*f**4 Let w(j) = 21*j**2 - 11*j + 11. Let r(m) = 4*m**2 - 2*m + 2. Let c(f) = -11*r(f) + 2*w(f). Let p(l) = 10*l + 2*l - l. Calculate p(c(h)). -22*h**2 Let h(s) be the first derivative of -2*s**3/3 - 1. Let f(b) = -21*b + 43*b - 25*b. Determine h(f(m)). -18*m**2 Let s(u) = -35*u**2 - 4*u. Let q(a) = -4*a. Calculate q(s(w)). 140*w**2 + 16*w Let l(q) = -4 + 14 + 8*q**2 - 10. Let r(p) = p. Calculate l(r(y)). 8*y**2 Let o(x) be the first derivative of -5*x**2/2 + 2. Let i(l) = 12*l**2. Determine o(i(m)). -60*m**2 Let i(n) = n + 2. Let a(f) = -1. Let j be (-4 - -2)/((-2)/(-2)). Let h(x) = j*i(x) - 4*a(x). Let b(k) = -5*k**2. Calculate h(b(g)). 10*g**2 Let c(l) = 1546*l. Let u(n) = -n. Give c(u(y)). -1546*y Let c(v) = 20*v**2 - 5. Let r(b) = -3*b. Calculate c(r(y)). 180*y**2 - 5 Suppose 5*i - 2*r - 20 = 0, 8*i - 5*i - 2*r - 16 = 0. Let f(v) = -4*v + i*v**2 + 4*v. Let d(j) = -2*j. Give d(f(p)). -4*p**2 Let y(l) = 3*l**2. Let x(r) = -15*r**2. Let a(s) = 5*x(s) + 24*y(s). Let f(u) be the second derivative of -u**3/2 - 14*u. Calculate a(f(k)). -27*k**2 Let h(v) = -v - 2. Let f be h(-2). Let u(n) = f*n - 3*n + 2*n. Let w(a) = 5*a. What is u(w(z))? -5*z Let y(n) = n**2. Let f = -9 - -51. Let t(o) = -42*o - 8*o**2 + f*o. Give t(y(p)). -8*p**4 Let d = 7 - 5. Let u(s) = -d*s + 2*s**2 - 2*s + 4*s. Let g(j) = -j. Give u(g(h)). 2*h**2 Let m(y) = 2*y**2. Let p(c) be the third derivative of -c**4/6 + 9*c**2. Determine p(m(t)). -8*t**2 Let l(j) = -7*j + 6. Let s(q) = 8*q - 7. Let b(g) = -g**3 + 4*g**2 + 2*g - 2. Let i be b(4). Let k(u) = i*s(u) + 7*l(u). Let w(c) = 4*c. Give k(w(f)). -4*f Let d(k) = k**2. Let m(n) = -41*n**2 + 3*n. Let c(h) = -164*h**2 + 11*h. Let r(s) = -6*c(s) + 22*m(s). Give d(r(j)). 6724*j**4 Let a(z) be the third derivative of -z**4/12 - 2*z**2. Let x(s) = -4*s. Determine x(a(j)). 8*j Let q(k) = -187*k + 1. Let o(h) = 2*h**2. Calculate o(q(a)). 69938*a**2 - 748*a + 2 Let i(x) = -5*x**2. Let q(z) = -3*z**2. Let r(s) = i(s) - 2*q(s). Suppose 2*m = m + 2. Let h(d) = d**2 - 6*d**2 + 0*d**m. What is h(r(k))? -5*k**4 Let h(w) = -2*w. Let x(i) = 3*i + 5166. Determine h(x(j)). -6*j - 10332 Let t(n) = n. Let b(y) = 905*y. Calculate b(t(u)). 905*u Let a(l) be the third derivative of 10*l**2 + 0*l + 0*l**4 + 0*l**3 + 0 - 2/15*l**5. Let b(o) = -2*o**2. Give b(a(y)). -128*y**4 Let q(d) = -4*d**2 - 9*d + 9*d + 3*d**2. Let r(y) = -y**2 + 3*y**2 - y**2 + 4*y**2. Determine r(q(u)). 5*u**4 Let q(j) = -4*j**2 + 14*j. Let b(f) = -f. Give b(q(l)). 4*l**2 - 14*l Let o(j) = 8*j**2 - 6*j. Let t(c) = 23*c**2 - 17*c. Let h(n) = -17*o(n) + 6*t(n). Let v(g) = -g**2. Determine h(v(x)). 2*x**4 Let g(l) be the second derivative
{ "pile_set_name": "DM Mathematics" }
3*l + 1296*o - 1299*o + 5196 = 0, -l - 4*o + 1738 = 0. What is the hundreds digit of l? 7 What is the thousands digit of 6910*(108/495 - (-14)/77)? 2 Let n(f) be the second derivative of 85*f**4/12 - f**3/2 - f**2/2 - 317*f. Let w(l) = -l**3 - 6*l**2 - 6*l - 6. Let v be w(-5). What is the tens digit of n(v)? 8 Suppose 24*c - 5 = 19*c. Let h(z) = 416*z. What is the units digit of h(c)? 6 Suppose v - 6*v + 3*n + 14 = 0, -8 = -4*v + 4*n. Suppose -4*y - v*m = -6*m - 122, 5*m = 5*y - 160. What is the units digit of y? 9 Suppose 3*j + 9 = -6*j. Let o be -2*(1870/(-30) + j/(-3)). Suppose 4*v + 5*s - 369 + o = 0, -5 = -s. What is the tens digit of v? 5 What is the units digit of (-38)/(-76) + 26956/8? 0 Suppose -27 = 7*g - 4*g. Let z be (-34)/153 - (-1 + (-7)/g). Suppose -20*y + 16*y + 572 = z. What is the hundreds digit of y? 1 Suppose 30*a - 211439 = 7*a. Suppose a = 50*o + 843. What is the tens digit of o? 6 Let w(k) = -5549*k**3 - 9*k**2 - 4*k + 5. What is the hundreds digit of w(-1)? 5 Let v = -44 + 50. What is the hundreds digit of 1*15*74/v? 1 Suppose -2*o - 2*o + 3*v = 22, 2*o - v + 10 = 0. Let j be 6 + o - -27 - -3. Suppose -3*g - 391 = -4*r, -5*r - 5*g + 413 + j = 0. What is the tens digit of r? 9 Suppose 193 + 1703 = 6*a. Suppose 0*w + w = -4*j + a, -222 = -3*j + 3*w. Let n = j + -20. What is the units digit of n? 8 Suppose -3*k - 27 = 753. What is the tens digit of (12/(-16) + 1 + -1)*k? 9 Let w(j) = 390*j**2 + 58*j - 348. What is the tens digit of w(7)? 6 Suppose -3*g - 4*k + 83 = -11, 0 = -4*g + 2*k + 140. Let i(l) = l**2 - 9*l - 157. What is the units digit of i(g)? 3 Let u(m) = m**3 - 7*m**2 - 9*m - 9. Let t be 4012/413 - (1 + (-9)/7). What is the hundreds digit of u(t)? 2 Let a(n) = -31*n - 80. Let b be a(-3). Suppose 54*d - b = 41*d. What is the units digit of d? 1 Suppose 109*o - 111*o - 8 = 0. What is the units digit of 237 - o/((-8)/(-2))? 8 Suppose 30*t - 25 = 35*t. What is the tens digit of 619 - (1 + 5 + t - -4)? 1 Suppose 5*j + 1043 = h, 5*j + 3 = -2. Suppose -y = -2*w + h, -4*y - 14 = -5*w + 2575. What is the units digit of w? 1 Let y = 111 - 100. Suppose 5*h - 10*p - 2170 = -y*p, 4*h - 5*p = 1736. What is the hundreds digit of h? 4 Suppose -228532 = -33*t - 29839. What is the tens digit of t? 2 Let o(k) = 70*k**2 + 294*k + 139. What is the tens digit of o(28)? 5 Let n(q) = q + 1. Let u(l) = l**3 + 7*l**2 - 2*l + 1. Let k(b) = 4*n(b) + u(b). Let j be (-5 + 174/42)*7. What is the tens digit of k(j)? 2 Suppose 0 = 94*p - 422185 - 511799. What is the units digit of p? 6 Let y = -4272 - -17094. Suppose -y = -8*n - 1014. What is the units digit of n? 6 What is the ten thousands digit of (16 + 0)/2 + (24825 - (14 + -21))? 2 Let l(q) = -140*q - 42. Let n be l(-2). Suppose n + 1562 = 18*x. What is the units digit of x? 0 Suppose -384 = -5*c - a, 5*a - 37 = -5*c + 343. Suppose 3*t + 35 = f, 3*f - c = -t + 3*t. What is the tens digit of f? 2 Let q = 1242 - 1177. Suppose -2*f + 3*f - 216 = 0. Suppose -z = -4*g - 0*z + f, g = 3*z + q. What is the tens digit of g? 5 Suppose 10*l - 16*l = 7*l - 122304. What is the thousands digit of l? 9 Let f(s) = -4129*s**3 + 256*s**2 + 511*s + 1. What is the thousands digit of f(-2)? 3 Suppose -7*g - 30 = -10*g. Suppose 8*a + 2 = g*a. What is the hundreds digit of -3 + 2 + a - -153? 1 Suppose 709 = 4*v - 5*d, -40*v - 3*d = -35*v - 840. What is the tens digit of 6519/19 + (-18)/v? 4 Suppose -5459 = 23*y + 22578. Let b = 1761 + y. What is the hundreds digit of b? 5 Let z(x) = 2343*x + 2. Let k be z(1). Suppose 3171 = 5*q + 4*s - 759, 3*q = -5*s + k. What is the units digit of q? 0 Suppose 2*a = -8, 0 = 4*m - 4*a + 2*a + 8. What is the units digit of 36/(-6) - -449 - m? 7 Let c = 1454 - 1427. What is the tens digit of c? 2 Suppose -3*r = 2*h + 572, 25 + 0 = 5*h. Suppose -2*u + 6*u = -4*t - 428, 4*t = -2*u - 422. Let o = t - r. What is the tens digit of o? 9 Suppose 3*m - m - 2*r = 0, 4 = m + 3*r. What is the units digit of m*2*(5 - (-8)/16)? 1 Let z = 3300 - -1974. Let i = z + -3735. What is the units digit of i? 9 Let m = 14 + -22. Let r be 292/(-16) - (-6)/m. Let f(a) = -5*a - 3. What is the tens digit of f(r)? 9 Let l = 149 + -106. Let n(x) = -x**2 + 20*x - 38. Let a be n(16). Let c = l - a. What is the tens digit of c? 1 Suppose 2832 = 2*d - 11*c - 1230, -4*d + 2*c = -8004. What is the tens digit of d? 9 Let h(z) = 441*z - 31. What is the tens digit of h(20)? 8 What is the thousands digit of 250934/10 - (-208)/(-520)? 5 Let h = 4259 + -2893. What is the thousands digit of h? 1 Suppose 2*a = 5*h + 40, a + h - 6 = -0. Let f be -4*((-4)/a + (-77)/220). Suppose -4*y = -0*y + 4*k - 636, -k + 471 = f*y. What is the tens digit of y? 5 Let y = -158 - -160. Suppose 7*c - 5*c = -5*r + 544, y*r = 3*c - 797. What is the units digit of c? 7 Suppose -18*a + 36868 = -98960. Suppose 71*o + a = 85*o. What is the hundreds digit of o? 5 What is the units digit of (104233503/1188 - (-1)/9) + 10/40? 9 Suppose 800*n - 42 = 793*n. Let u = 6 - 4. Suppose u*r + 4*v = 228, -2*v - 12 = -n*v. What is the tens digit of r? 0 Let q = 35 + -35. Suppose q = 57*r - 56*r - 483. What is the tens digit of r? 8 Let o(m) be the third derivative of -95*m**4/8 - m**3/2 + 88*m**2. What is the tens digit of o(-1)? 8 Let w = -19 - 3. Let g = 22 + w. What is the units digit of (g - -1)/((-1)/(-38))? 8 Suppose -4*o - 19 + 27 = 0. Suppose -757 - 100 = -2*w + 3*j, 1754 = 4*w + o*j. What is the units digit of w? 6 Suppose -34*x + 9059 = -30721. What is the thousands digit of x? 1 Let m(j) = -5*j**2 - 4*j - 4*j + 12*j - 5. Let t be m(4). Let q = t + 101. What is the tens digit of q? 3 Suppose -2*c - 2969 = -4*q + 739, -2*q - 4*c = -1834. What is the hundreds digit of q? 9 Suppose 4*c = -c - 3*c. Suppose c = -5*s + 2*a + 2586, -1035 = -2*s - 0*a + a. What is the hundreds digit of s? 5 Let n(o) be the third derivative of -83*o**4/24 - o**3/3 + o**2 + 1. What is the tens digit of n(-2)? 6 What is the ten thousands digit of (-3584628)/(-264) - (-24)/(-176)? 1 Suppose -880 - 2436 = -2*f. Suppose c - f = -3*c - l, 2066 = 5*c - 2*l. What is the units digit of (4/(-12))/(-3 - (-1240)/c)? 9 Let u = 279 - 195. Let f = u - 79. Suppose -1284 + 179 = -f*x. What is the hundreds digit of x? 2 Let u = -1346 - -29950. What is the tens digit of u? 0 Let l(t) = -1614*t**3 - 15*t**2 - 9*t + 4. Let m(g) = g**3 + 2*g**2 + g - 1. Let i(a) = l(a) + 5*m(a). What is the hundreds digit of i(-1)? 6 Let n = 1 + -1. Suppose 0 = 4*t - 3*s, s + s = n. What is the tens digit of ((-1426)/(-10) - t) + (-2)/(-5)? 4 Suppose -5135*c = -5169*c + 558586. What is the tens digit of c? 2 Let w = 92 + -391. Let r = w + 425. What is the tens digit of r? 2 Suppose 13*h = 11801 - 1661. What is the hundreds digit of (h/3)/(6/21)? 9 Suppose 42566 + 4831 = 7*l. What is the units digit of l? 1 Suppose -8*k + 4*k + 7172 = 0. What is the hundreds digit of k? 7 Let n be (1 - 24884) + 110/(-22) + 3. What is the hundreds digit of n/(-65) - (-20)/130? 3 Suppose -11113581 = -289*j - 2*j. What is the thousands digit of j? 8 Let b(c) = -4*c**2 - 38*c + 16. Let l be b(-10). What is the units digit of (6952/(-12))/11*42/l? 3 Suppose 6*b - 29*b + 67045 = 0. Let p = b + -1735. What is the tens digit of p? 8 Let b = 90 + -84. Let w(z) = 4*z**2 - z + 23. What is the hundreds digit of w(b)? 1 Suppose 135843 = 40*d - 66037. What is the thousands digit of d? 5 Let k = 192 + 1051. Suppose -a + 3*h + 933 = 2*a, 0 = -4*a + 3*h + k. What is the units digit of a? 0 Let w = 4028 - -4484. What is the hundreds digit of w? 5 Let o(g) = -2*g**3 - 12*g**2 - g + 9. Let f be 2/(-14) + 2232/(-252). What is the units digit of o(f)? 4 Let h(a) = 9*a**2 - 9*a + 17. Let v = -173 + 178. What is the units digit of h(v)? 7 Let u = -235 + 107. What is the units digit of (-3)/(18/u)*12? 6 Suppose 2*z - 8*z = -0*z - 21168. What is the tens digit of z? 2 What is the thousands digit of 17*76/10982 + ((-456816)/34)/(-2)? 6 Suppose -v - 86 = -4*c + 9, c - 5*v - 19 = 0. Suppose 0 = -c*d + 275 + 85. What is the units digit of d? 5 Suppose -5*z = 2*u - 8, 6*z - 5*z + 8 = 2*u. Let h(v) = 19*v**3 - 3*v**2 + 5*v + 14. What is the units digit of h(u)? 2 Let v(s) = 145*s - 10. Let f = 6 + 5. Let o be v(f). What is the tens digit of -2*o/(-15) - 3/9?
{ "pile_set_name": "DM Mathematics" }
- 5. Let c = -13 + d. Let m = -1 + c. What is the lowest common multiple of m and 7? 70 Suppose -5*m - 65 = -5*l, -3*l - 5*m + 35 = 2*l. What is the least common multiple of 52 and l? 260 Let d(p) = p + 8. Suppose 5*t - 51 = 2*r, -3*r - 35*t = -30*t + 89. Calculate the lowest common multiple of d(-4) and 2/7 + (-608)/r. 44 Let o = -18179 + 472747/26. Calculate the common denominator of o and -119/234. 234 Let t(c) = -c**2 + c + 6. Let d(s) = -s**3 - s**2 - 2*s. Let a be d(0). What is the smallest common multiple of t(a) and 9? 18 Calculate the common denominator of 113/10 and (-9380)/819 + 5 + 7. 1170 Let v be 1 + 0 - -47 - 2. Let m = v + -1073/22. Calculate the common denominator of 69/10 and m. 110 Suppose 3*o = -2*n + 21, 5*o - 54 = 72*n - 69*n. What is the least common multiple of 2/7 - (-19)/7 and o? 9 Let h(q) = -2*q**2 - q. Let t be h(1). Let s(p) = -8*p + 12. Calculate the smallest common multiple of s(t) and 15. 180 Suppose -5*u = -0*i + i - 75, 4*i - 60 = -4*u. Suppose 2*o + u + 9 = 0. What is the common denominator of -75/8 and (130/(-45))/(o/15)? 72 Find the common denominator of 48/169 and (-10 + 3 - (-8328)/858) + -3. 1859 Find the common denominator of (-62)/5*(-50)/(-690) and -68/15. 345 Suppose -15*s - 13908 = 4*s. Calculate the common denominator of (s/162 - -4) + -2 and 95/72. 216 Suppose -40 = -37*y + 17*y. Suppose -k = -5*w + 5, -2*k - 4*w = -3*w - 23. What is the least common multiple of y and k? 10 Let s(x) = 4*x + 16. What is the smallest common multiple of s(-1) and 39? 156 Suppose -7 = 4*f - 39. Calculate the least common multiple of f and 4. 8 Suppose -7 = -3*v + 17. Suppose -8*j = -29 - 35. Calculate the smallest common multiple of j and v. 8 Let g = 0 + 20. Suppose -2*b + g + 52 = 0. Let q = -670/21 - -94/3. Calculate the common denominator of q and b. 7 Let t be 0/(-5) - (-2 - 1). Suppose t*i - 2*i = -f + 19, -2*i + 2*f + 50 = 0. Let c = 15 - 7. What is the smallest common multiple of c and i? 88 What is the smallest common multiple of -5 + 12/6 - -11 and 44? 88 Let v = 159/43 - 5783/2064. Let z = -9394/9 - -3154/3. Calculate the common denominator of z and v. 144 Let b = -5 + 9. Suppose -2*o - l - 5 + 2 = 0, -l - b = o. Calculate the smallest common multiple of 8 and o. 8 Let l = 20/9 - -455/18. Find the common denominator of l and 1 - ((-917)/154 - (-5 - -2)). 22 Let q be 10/15*-6 - 3. Suppose -15 = -3*v - 45. Let k = q - v. What is the smallest common multiple of k and 7? 21 Let r = 7/102 - 845/51. Let o(f) = -3*f - 2. Let z be o(-4). Calculate the common denominator of r and z/(-25)*(-370)/18. 18 Suppose -7458220448 = -5*r - 3*y, -2*y + 2 = 10. Let d = r - 5486266903679/3678. Let s = -20/613 - d. What is the common denominator of -41/30 and s? 30 Suppose -3*g - 17*g - 321 = -921. Calculate the lowest common multiple of (-107)/(-4) + (-1)/(-4) and g. 270 Suppose -2*g - 5*k + 192 = 0, 4*k + 384 = 4*g - k. Suppose 7*r = -12 + g. Calculate the smallest common multiple of 18 and r. 36 Let g = -6803/2212 - -37/79. What is the common denominator of 61/(-32)*(-9 - -7) and g? 112 Let l = -13/25769 - -278897965/154614. Let d = -1/101026 - -551500937/303078. Let x = l - d. Find the common denominator of x and 97/12. 12 Suppose -3*x + 0*x = -24. Let z be x/(-28) + 60/14. What is the lowest common multiple of (-120)/4*z/(-5) and 18? 72 Let p(o) = -o**2 - 5*o + 13. Let u be p(-7). Let r(f) = 5*f**2 + 1. Let n be r(u). Suppose -35 = j - n*j. Calculate the least common multiple of j and 1. 7 Suppose -81 = 2*s + 5*c, -5*s - 31 = -4*c + 188. Let i = s + 61. Calculate the smallest common multiple of 12 and i. 36 Let x be -3 + (-10)/(-6)*3. Suppose 13*s + x = 106. What is the least common multiple of s and 20? 40 Let g(v) be the third derivative of -v**5/60 + 2*v**4/3 - 4*v**3/3 - 7*v**2. Calculate the smallest common multiple of g(12) and 12. 120 Let c = -19 + 20. What is the common denominator of (186/32)/(c/4*5) and (1 - 202/32) + 1? 80 Suppose 2*r = 5*z + 2, 17*z + 16 = 4*r + 13*z. Calculate the smallest common multiple of r and 14. 42 Let a(s) = s + 80. Let l be a(0). Suppose 7*c + 2*h - 8 = 2*c, 12 = -3*c + 3*h. Suppose -4*w + 8*w - l = c. Calculate the lowest common multiple of 6 and w. 60 Let x = 40207/8640 - 35/1728. Calculate the common denominator of x and 133/90. 90 Let r(q) = q + 4. Let l(j) = -j**2 + 6*j + 4. Let m be l(6). Calculate the lowest common multiple of r(m) and 9. 72 What is the common denominator of 2/2 + (-68)/(-6) and (-72)/120 - (0 + (-606)/135)? 9 Let n = -41 + 33. Calculate the common denominator of ((-294)/(-90))/(-1 - n/5) and 13. 9 Suppose 5*o - 3*z - 36 = 0, 2*z + 5 - 1 = 0. What is the smallest common multiple of -7 + (-1 + 18)*1 and o? 30 Let q = 4259 + -8347/2. Let o = q + -84. Find the common denominator of 22 and o. 2 Let u(p) = 3*p - 5*p + 18 + 3*p - 3*p**2 + 2*p**2. Calculate the lowest common multiple of u(-3) and 30. 30 Let q(m) = m + 21. Let c be (-1)/(-1) + (2 - 0). Let b(u) = 10. Let v(a) = c*q(a) - 7*b(a). What is the least common multiple of 6 and v(3)? 6 Let a = 8 + -2. Suppose a*s - 16 = 4*s. Let r = -7 + 10. Calculate the lowest common multiple of s and r. 24 Let c be 18/(-24)*5828/6. Suppose 0 = -4*r + 192 - 3052. Let m = c - r. Find the common denominator of -33/10 and m. 10 Let v = -10 - -18. Suppose 648 = -6*l + 696. What is the smallest common multiple of l and v? 8 Let z = -9523 - -9531. Let w = 23 + -7. Suppose -24 = -2*c + w. What is the lowest common multiple of z and c? 40 Calculate the common denominator of (-8)/6*2124/(-2880) and 11/40. 120 Let o(y) be the third derivative of -y**7/720 + y**5/30 - 11*y**2. Let a(x) be the third derivative of o(x). What is the lowest common multiple of 16 and a(-2)? 112 Let q be (40/15)/(4/6). Suppose 3*d + 2*v = q*d + 4, -d = -5*v + 16. What is the least common multiple of d and 25? 100 Let h = 6449/480 + 37/160. Let s = -427/18 - -202/9. Calculate the common denominator of s and h. 18 Suppose 18*c - 17*c - 1036 = 0. Let l = c - 16633/16. What is the common denominator of l and 21/8? 16 Let h(i) = -i**3 - 3*i**2 + 6*i + 9. Let n be (-1)/((-4 - -6)/8). What is the smallest common multiple of h(n) and 1? 1 Let n(v) = -22*v**2 - 4*v + 5. Let a be n(1). Find the common denominator of 2*a/(-98) + (-71)/182 and -43/22. 286 Let d = 100 - 69. Let y = 24 + d. Calculate the least common multiple of y and 45. 495 Let z(h) = -h**3 + h**2 - 27. Let l be ((-82)/(-16))/((-11)/2519). Let y = -1184 - l. What is the common denominator of z(0) and y? 8 Suppose 3*t + 2*l = 78, 60 = 3*t + 43*l - 47*l. Calculate the lowest common multiple of 264 and t. 264 Suppose -7*q + 27 = 6. Suppose -2*b + 20 = -q*o, -2*o + 1 = b + 5. Calculate the least common multiple of b and 4. 4 Let q(a) = -a**3 + a**2 - 9. Let f be q(0). Let b = f - -18. What is the lowest common multiple of b and -14*2/16*(-10 + 6)? 63 Let i = -65/98 - -5581/1470. What is the common denominator of 107/20 and i? 60 Let v = 19157/420 - 228/5. Let l = 230/17 - 1773/170. Calculate the common denominator of l and v. 420 Find the common denominator of (-76)/(-9)*135/10350 and -2/33. 3795 Suppose -3*x + 5*x - 2 = 0. Calculate the lowest common multiple of 8 and 176/14 - x/((-21)/9). 104 Let t = 14017/6 - 2345. What is the common denominator of -87/44 and t? 132 Suppose -18*z - 126 = -342. Calculate the smallest common multiple of z and 14. 84 Let b(w) = -w**3 - 9*w**2 + 5*w. Let z be b(-9). Let q = -21 - z. Let s = 40 - q. Calculate the lowest common multiple of 6 and s. 48 Let w = -1209/10 - -149284/1235. Find the common denominator of -83/22 and w. 5434 Let s(w) = -w**3 + 83*w**2 - 83*w + 87. Let t(h) = -h**3 + 6*h**2 + h. Calculate the least common multiple of s(82) and t(6). 30 What is the common denominator of -1 - (4 - 6980/1744)*358 and 27/4? 436 Suppose -7*s = -3*s - 53328. Let k = s - 453249/34. Find the common denominator of -41/8 and k. 136 Suppose 2727 = 8*o + 2511. Calculate the smallest common multiple of o and 216. 216 Find the common denominator of 37/25 and -4 + (-4134)/(-630) + 9/(-21). 75 Let y be ((-294)/(-56))/((-1)/284). Let b = 5907/4 + y. Calculate the common denominator of -37/16 and b. 16 Calculate the common denominator of 1892/(-1560) - 2/(-3) and 71/2. 130 Let r be (
{ "pile_set_name": "DM Mathematics" }
be the first derivative of -7*y**2/2 - y - 62. What is m(o)? 6 Let z be (-133)/(-21) + 2*(-4)/6. Let u(x) = -z - 2*x + 8 - 7 - x + x. Let i be -1*1 + 8/(-2). What is u(i)? 6 Let s = 102 + -100. Suppose 0 = -3*p + s*u + 241, -2*p = p + 3*u - 261. Let b(o) = -p*o**2 + 6*o + 84*o**2 + 2 + 0. What is b(-5)? -3 Suppose -4*r + 4 = 24, -3*v + 35 = -4*r. Suppose 0 + 15 = v*b. Let f(z) = 4*z + 2. Calculate f(b). 14 Let p(o) = o**3 + 68*o - 196*o + 66*o + 65*o - 6*o**2 + 5. Let u(y) = y**3 - 10*y**2 - 40*y + 18. Let c be u(13). What is p(c)? -5 Let b = 63 + -61. Let j(y) = y**3 - y - 9*y**2 - 13*y**2 + 41*y**2 - 13*y**b. Give j(-3). 30 Let u(z) = 8*z - 56. Suppose -4*i = 5*k - 40, -2*k - 382 = -3*i - 375. Determine u(i). -16 Let b = -8805 - -8771. Let h(m) = m**3 + 34*m**2 + 2*m + 60. Give h(b). -8 Let w(o) = 20*o - 27. Let p be (-1)/3*(24/(-84) + (-80)/14). Determine w(p). 13 Let g be (-946)/258 + 2*5/2. Let n(w) be the third derivative of -g*w**3 + 0*w + 0 - 15*w**2 - 1/12*w**4. Give n(-6). 4 Let i(b) be the first derivative of 5*b - 12 - 7/2*b**2 - 1/3*b**3. Let v(h) = 3*h**2 + 48*h - 57. Let o be v(-17). What is i(o)? 11 Let m(t) = 377*t**2 - 15 - 187*t**2 - 14*t - 5*t + 5 - 188*t**2. Give m(9). -19 Let q(p) = 3*p**2 - 15*p + 15. Let c(y) = -2*y**2 - 2*y + 3. Let d(f) = -2*c(f) - q(f). What is d(-18)? -39 Let p(i) = 13*i**3 + 47*i**2 + 19*i + 221. Let h(a) = 7*a**3 + 24*a**2 + 10*a + 113. Let m(x) = -11*h(x) + 6*p(x). What is m(-18)? 11 Let o(t) = t**2 - 2*t - 2. Let x(w) = -w + 9*w + 6*w - 17*w + 88. Let a be x(28). What is o(a)? 6 Let h(u) = -u**2 + u - 4. Let a be -15*32/120*5/(-2). Let z be (a/75*5)/((-1)/(-9)). Let f be (-3)/(-2) + (-21)/z + 2. Give h(f). -4 Let s(r) = -6*r + 1. Let u(c) = 9*c - 2. Let f(v) = 2*s(v) - u(v). Determine f(1). -17 Let r(k) = -13*k**2 + 3*k + 0*k - 1 + 14*k**2. Let z be r(-3). Let s(o) be the second derivative of o**4/12 + o**3/3 + o**2/2 - 13811*o. Determine s(z). 0 Let f(c) = 789*c - 2370. Let r be f(3). Let b(n) = 2*n**3 + 2*n**2 + 4*n - 2. What is b(r)? -50 Let y(f) = 12*f**2. Let r be y(-1). Suppose 626*c - 93 = 625*c. Let m(p) = -29 - 20 + c - 24 - p. Calculate m(r). 8 Suppose 95*g + 2*f = 96*g - 23, -5 = -3*g - 2*f. Let l(r) be the first derivative of -r**4/4 + 7*r**3/3 + r**2/2 + 10*r - 7. Give l(g). 17 Suppose -2*i = -8*k + 7*k - 58, -i + 260 = -4*k. Let b be (-3)/12 + 765/(-12). Let y = k - b. Let s(m) = m**2 - m + 2. Determine s(y). 8 Let x(h) = -9066 - 43*h**2 - 6*h**2 + 138*h + 4391 - 19*h**2 + 4540 - h**3. What is x(-70)? 5 Let x(z) = -2*z**2 + 2*z - 11. Let a(f) = -16*f**2 + 16*f - 56. Let l(s) = a(s) - 5*x(s). What is l(2)? -13 Let s(h) = 9*h**2 + 8*h - 8*h + 2860 - 5717 + 2854. Calculate s(1). 6 Let h(w) = -19*w**2 + 13*w - 5. Let v(p) = 16*p**2 - 8*p + 6. Let m(z) = 5*h(z) + 6*v(z). Calculate m(-12). -49 Let l be (24/2)/((-25)/((-300)/18)). Let c(h) = -h**3 + 8*h**2 + 3*h + 9. What is c(l)? 33 Let w(c) be the first derivative of -2*c**3/3 + 63*c**2/2 - 19*c + 3471. What is w(31)? 12 Let a = -868 + 871. Let l(t) = -t + 5*t + 7*t + 7*t**2 + t**a - 15 - 20*t. What is l(-8)? -7 Let x(n) = 4*n - 13. Suppose -142 - 16 = -24*v - 14. Determine x(v). 11 Let w(t) be the first derivative of 7*t**2 - 23*t + 3487. Determine w(2). 5 Let s = 117 - 78. Suppose 38*x - s*x = -2. Suppose -w = 13*g - 9*g - 22, 5*g = -x*w + 29. Let i(k) = -3*k**2 + 2*k - 3. Calculate i(w). -11 Let v(j) be the first derivative of -j**3/3 - 4*j**2 - 10*j + 1. Let p = -1965 + 1963. Let c be (p + (1 - 0))/(7/49). Determine v(c). -3 Let h(p) = p**3 - 3*p + 3. Suppose -3*f - 3*t = 465, t + 306 = 5*f - 7*f. Let b = f - -153. Determine h(b). 5 Suppose 0 = 4*k + 3*w + 49, 512*k + 5*w + 34 = 509*k. Let x(i) = i**3 + 16*i**2 + 41*i + 21. Give x(k). -5 Suppose 4*x = 5*d + 9*x, -7 = -5*d + 2*x. Let t be ((-5)/(-4))/((-2)/(-80)*d). Let r(c) = -99*c**3 - 5*c - 5 + 50*c**3 + t*c**3 + 5*c**2. What is r(-6)? -11 Let x(v) be the third derivative of -1/6*v**3 - 4*v + 0 + 3/8*v**4 + 11*v**2 - 1/60*v**5. Determine x(4). 19 Suppose 0 = -8*p + 189 + 43. Let g(u) = p*u - 3*u - 13*u - 11*u + 4. Determine g(2). 8 Let a(u) = 2*u + 9. Let g be (-308)/1848 + 1 + 130/(-12). Let k be (5/g)/(1 + (-7)/8). Give a(k). 1 Let l(c) = c**3 - 8*c**2 + 2*c - 4. Let m = -4803 + 4811. Determine l(m). 12 Let q = 391 + -348. Let c(o) = -99*o + 54*o + q*o. Give c(9). -18 Let r(a) = -2*a**2 + 0 - 3*a + a**2 + 24. Let i be r(-7). Let v(c) = 4*c - 11. Let l(k) = -17*k + 47. Let d(z) = -6*l(z) - 26*v(z). Give d(i). 12 Let c(b) = -19*b - 28*b + 52*b - 18*b + 12*b - 6. Determine c(-20). 14 Suppose -30*v = -24*v + 6. Let d(u) = -44*u**2. Give d(v). -44 Let o = -10 + 14. Let n(c) = c**2 + 33*c + 143. Let r be n(-28). Let l(x) = 0*x**3 - x**r + 5*x + 6 - 4*x**3 + 4*x**2 + o*x**3. Determine l(5). 6 Let c(b) = -13775622*b**3 + 9 - 24 + 13775623*b**3 - 14*b + 8*b**2. What is c(-9)? 30 Let q(r) = -r**2 - 26*r + 717. Let j be q(-43). Let f(x) = -x**2 - 11*x + 9. What is f(j)? -33 Let h(w) = w + 7. Let t(c) be the first derivative of 3*c**2/2 + 23*c + 154. Let s(u) = -7*h(u) + 2*t(u). Calculate s(-1). -2 Let d(a) = a**3 - 6*a**2 - 4*a + 5. Let m(x) = -3*x**2 - x + x**3 - 5*x**3 + 7*x**3 - 10*x**3. Let b be m(-1). What is d(b)? -40 Let l(f) = f**3 - 8*f**2 - 9*f + 6. Let j(w) be the third derivative of 11*w**2 - 1/24*w**4 + 3/2*w**3 + 0*w + 1/60*w**5 + 0. Let o be j(0). Give l(o). 6 Let m be 12/(-72) - (-3)/((-18)/(-151)). Suppose 180 = 5*x + m*x. Let h(c) = c - 2 + 0 - 2. Give h(x). 2 Let t(m) = m**2 + m + 1. Let c(w) = 35*w**2 + 40*w + 40. Let k(u) = -3*c(u) + 120*t(u). Let a = -15639 - -15638. Calculate k(a). 15 Let h(n) = -n**3 + 58*n**2 - 4*n**2 + 107*n - 169 - 107*n**2. What is h(-55)? -4 Let x(r) = -24*r**3 + 16*r**2 + 19*r - 4. Let n(s) = 32*s**3 - 21*s**2 - 25*s + 5. Let z(j) = -10*n(j) - 13*x(j). Determine z(-1). 9 Let b = -6 - -9. Let a be 18/(-27)*(-30)/4. Let w(d) = 0 - 2*d - a + 6 + 0. Determine w(b). -5 Let p(w) be the first derivative of 0*w + 1/40*w**5 - 1/3*w**3 + 1/24*w**4 + 14 + 0*w**2. Let z(b) be the third derivative of p(b). Give z(-2). -5 Suppose 15*d + 660 = 26*d. Let h = d + -66. Let l(b) = -b**2 - 4*b + 1. What is l(h)? -11 Let w(t) = -t**3 + 9*t**2 + 21*t + 7. Let q be ((-132)/(-120))/(8/80). What is w(q)? -4 Let a(y) = 4*y - 2*y - 3*y + 2*y - 4*y - 5. Suppose -4*s + 15 + 13 = 0. What is a(s)? -26 Let i(n) = n**3 - 3*n**2 - 26*n + 1. Let t be i(7). Suppose 6*u + 27 = t*u. Let c(p) be the third derivative of -p**4/8 + p**3/6 - 2*p**2. Give c(u). -8 Let o(l) = l**2 - 15*l + 16. Suppose 4*m + 124 = 6*m. Suppose -25*w = -m*w + 481. Calculate o(w). -10 Let o(i) = i**3 + 2*i**2 + 5*i + 5. Let c be ((2 - -3)/(-25))/((-16)/(-320)). Determine o(c). -47 Let r(o) = 9*o + 325. Let y be r(-36). Let h(t) = -2*t**3 - t**2 - t - 1. Let u(i) = 4*i**3 + 5*i**2 + 4*i + 6. Let l(w) = -5*h(w) - u(w). Give l(y). 6 Let d(u) = -6*u**2 - 13*u - 15 + 8*u + 3*u**2 - 14*u. Give d(-5). 5 Let x = 48164 - 48170. Let w(i) be the second derivative of -5*i**3/6 - 9*i**2/2 - 3*i. Determine w(x). 21 Let x(i) = i**2 + i + 1. Suppose -504 = -27*w - 342. Determine x(w). 43 Suppose -171*x - 1648 = -179*x. Let z(n) = 2*n**2 - x - 202 + 410. Calculate z(2). 10 Let m = -357 + 359. Let n(f) = -f**2 + f + f**m + 9*f**2 + 0*f**2 - 8*f**2. Calculate n(1). 2 Let t(z) = -3*z + 8. Let p(o) = 66*o - 9 - 52*o - 8*o. Let q(c) = 4*p(c) + 6*t(c). Give q(-3). -6 Let s(i) = 5*i**3 + 16*i**2 + 2*i + 14. Let d(b) = 9*b**3 + 31*b**2 + 3*b + 29. Let f(z) = 6*d(z) - 11*s(z). What is f(8)? 116 Let h(w) be the first derivative of -w**4/4 - 2*w**3 + 5*w**2/2 - 8*w + 4. Let d = -18775 + 18768. Calculate h(d). 6 Let u(o) be the second derivative of -o**5/20 - o**4/6 + 2*o**3 - o**2/2 + 86*o - 40. Give u(-6). 71 Let k(g) = 1776*g + g**3 - 1773*g - 3*g**2 + 0*g**3 - 4. What is k(4)? 24 Let l = -32 - -48. Suppose 804 + 172 = l*o. Let p = o - 59. Let n(x) = -3*x**2 + 4*x - 2. Give n(p). -6 Let j be 4/(-2) - (1 - 7). Let f(p) = -2*p**2 + 9*p - 4. Let x be f(j). Suppose n + 15 = 5*w, -2*n + 3 + x = w. Let g(l) = -l + 3. Calculate g(w). 0 Let t(y) = 5*y + 2. Let j(b) = -7 - 7 - b - 8 - 2*b. Let s be j(-8). Suppose -z + 2*z - 3*d = 2, z + 2*d = s. Calculate t(z). 12 Let j(r) = 25*r + 7. Let t(c) = -43*c - 14. Let n(p) = -5*j(p) - 3*t(p).
{ "pile_set_name": "DM Mathematics" }
te the highest common divisor of 16 and 212. 4 What is the highest common factor of 452 and 3051? 113 Calculate the highest common factor of 80 and 112. 16 What is the greatest common factor of 30 and 1820? 10 Calculate the greatest common divisor of 70 and 266. 14 What is the greatest common divisor of 1309 and 88? 11 What is the greatest common divisor of 40 and 100? 20 What is the greatest common divisor of 3196 and 136? 68 Calculate the highest common factor of 300 and 75. 75 What is the highest common factor of 16 and 4072? 8 What is the highest common divisor of 489 and 9? 3 Calculate the greatest common factor of 117 and 9351. 9 Calculate the highest common factor of 6 and 1454. 2 Calculate the greatest common divisor of 119 and 434. 7 What is the greatest common factor of 228 and 1539? 57 What is the highest common divisor of 480 and 30? 30 What is the greatest common divisor of 221 and 117? 13 What is the highest common factor of 20 and 19940? 20 Calculate the greatest common divisor of 46 and 46. 46 Calculate the greatest common factor of 15 and 1215. 15 What is the highest common divisor of 1690 and 10? 10 Calculate the highest common factor of 23 and 2622. 23 Calculate the greatest common divisor of 24 and 736. 8 Calculate the greatest common divisor of 8 and 16. 8 What is the greatest common divisor of 54 and 522? 18 What is the greatest common divisor of 390 and 546? 78 What is the greatest common divisor of 54 and 2046? 6 What is the greatest common factor of 120 and 312? 24 What is the greatest common divisor of 12 and 180? 12 What is the greatest common divisor of 204 and 1? 1 Calculate the greatest common factor of 1 and 950. 1 Calculate the highest common divisor of 91915 and 155. 155 What is the highest common factor of 48 and 312? 24 What is the highest common divisor of 273 and 147? 21 Calculate the greatest common divisor of 448 and 7. 7 Calculate the highest common divisor of 3182 and 86. 86 What is the greatest common factor of 8 and 30232? 8 Calculate the highest common factor of 240 and 512. 16 What is the greatest common factor of 48 and 726? 6 Calculate the highest common factor of 69 and 1587. 69 What is the greatest common factor of 87 and 24? 3 Calculate the highest common divisor of 43510 and 10. 10 Calculate the highest common divisor of 21 and 35. 7 Calculate the highest common divisor of 486 and 18. 18 What is the greatest common divisor of 53 and 2173? 53 What is the greatest common factor of 190 and 57? 19 Calculate the highest common factor of 143 and 13. 13 What is the greatest common factor of 12 and 20? 4 What is the highest common divisor of 100 and 8? 4 Calculate the greatest common factor of 10 and 150. 10 Calculate the highest common factor of 102 and 27914. 34 Calculate the greatest common divisor of 324 and 2754. 162 Calculate the highest common factor of 40 and 24. 8 Calculate the highest common divisor of 9 and 36189. 9 What is the greatest common divisor of 290 and 58? 58 Calculate the highest common divisor of 42 and 84. 42 Calculate the greatest common divisor of 156 and 1794. 78 Calculate the greatest common factor of 81 and 14499. 81 What is the highest common factor of 15895 and 165? 55 What is the highest common factor of 3792 and 816? 48 Calculate the greatest common factor of 52 and 13. 13 What is the greatest common factor of 6592 and 1339? 103 Calculate the greatest common divisor of 1219 and 583. 53 What is the greatest common factor of 69 and 207? 69 Calculate the greatest common factor of 3683 and 381. 127 What is the highest common divisor of 585 and 225? 45 Calculate the highest common divisor of 100 and 25. 25 What is the highest common divisor of 55 and 385? 55 What is the highest common factor of 2 and 15? 1 What is the highest common factor of 1 and 1? 1 What is the greatest common factor of 24 and 132? 12 Calculate the greatest common divisor of 2291 and 29. 29 Calculate the highest common factor of 93 and 248. 31 Calculate the highest common factor of 39 and 3471. 39 What is the greatest common divisor of 5 and 785? 5 What is the highest common divisor of 147 and 14? 7 What is the highest common divisor of 24 and 588? 12 Calculate the highest common divisor of 825 and 264. 33 What is the greatest common factor of 215 and 15? 5 Calculate the greatest common divisor of 17714 and 68. 34 What is the greatest common factor of 212 and 954? 106 What is the greatest common divisor of 14 and 819? 7 Calculate the greatest common factor of 19284 and 12. 12 Calculate the greatest common factor of 255 and 45. 15 Calculate the greatest common factor of 3312 and 24. 24 Calculate the highest common factor of 2147 and 19. 19 Calculate the greatest common divisor of 13560 and 120. 120 What is the highest common divisor of 295 and 118? 59 Calculate the highest common divisor of 8 and 40. 8 What is the highest common factor of 4524 and 52? 52 What is the highest common factor of 384 and 12? 12 What is the greatest common factor of 1316 and 235? 47 Calculate the highest common factor of 32 and 160. 32 What is the greatest common factor of 114 and 7296? 114 What is the greatest common divisor of 1122 and 544? 34 Calculate the greatest common divisor of 77 and 14. 7 Calculate the highest common factor of 26 and 2. 2 Calculate the highest common factor of 1 and 61. 1 Calculate the greatest common divisor of 14 and 9562. 14 What is the highest common factor of 1024 and 16? 16 Calculate the greatest common factor of 20 and 260. 20 Calculate the highest common factor of 25 and 3100. 25 What is the greatest common divisor of 16384 and 96? 32 Calculate the highest common divisor of 378 and 1428. 42 What is the greatest common factor of 57 and 1653? 57 What is the highest common factor of 80 and 476? 4 What is the greatest common factor of 1649 and 97? 97 What is the greatest common factor of 16 and 968? 8 Calculate the greatest common divisor of 39 and 52. 13 What is the greatest common divisor of 806 and 248? 62 What is the greatest common factor of 130 and 6110? 130 What is the highest common divisor of 488 and 5246? 122 Calculate the greatest common factor of 114 and 6. 6 What is the highest common factor of 257 and 31611? 257 What is the greatest common divisor of 114 and 2679? 57 Calculate the highest common factor of 1106 and 2686. 158 What is the highest common factor of 2714 and 23? 23 Calculate the highest common factor of 348 and 522. 174 What is the greatest common factor of 16 and 116? 4 What is the highest common divisor of 156 and 60? 12 What is the greatest common factor of 297 and 21? 3 Calculate the highest common factor of 9 and 1341. 9 Calculate the greatest common divisor of 697 and 34. 17 What is the highest common divisor of 989 and 86? 43 What is the greatest common divisor of 43 and 172? 43 Calculate the highest common divisor of 3 and 813. 3 What is the greatest common factor of 256 and 704? 64 What is the greatest common divisor of 7 and 791? 7 What is the highest common factor of 50542 and 74? 74 Calculate the highest common factor of 349 and 349. 349 What is the highest common divisor of 308 and 140? 28 What is the greatest common divisor of 612 and 34? 34 What is the greatest common divisor of 252 and 11592? 252 What is the highest common factor of 2737 and 168? 7 What is the greatest common divisor of 93 and 248? 31 What is the highest common divisor of 12 and 606? 6 What is the highest common factor of 9 and 1818? 9 Calculate the greatest common factor of 114 and 222. 6 Calculate the highest common divisor of 1632 and 102. 102 Calculate the highest common factor of 2 and 667. 1 Calculate the greatest common factor of 184 and 24. 8 Calculate the highest common factor of 105 and 165. 15 What is the greatest common factor of 814 and 22? 22 What is the highest common factor of 15922 and 114? 38 What is the highest common divisor of 21 and 127? 1 Calculate the greatest common factor of 28 and 1078. 14 What is the highest common divisor of 539 and 77? 77 What is the highest common factor of 12 and 2256? 12 What is the highest common divisor of 20093 and 142? 71 Calculate the highest common factor of 300 and 90. 30 Calculate the highest common divisor of 15894 and 18. 18 W
{ "pile_set_name": "DM Mathematics" }
(-2)/6*-3. Solve -h - 8 = k*h for h. -2 Suppose -c - 3*c - 36 = 0. Let o = -7 - c. Solve 6 = -o*h - h for h. -2 Let m(k) = 3*k**2 + 2*k**2 + 2 - k**3 - 1 - 4*k. Let c be (-8)/(-3)*6/4. Let t be m(c). Solve 5*x - t = 14 for x. 3 Let l be (1 + -1)/(8/4). Suppose l*n = n. Solve n*c = 5*c + 15 for c. -3 Let q be 54/10 + 12/(-30). Solve q = -9*a + 4*a for a. -1 Suppose 0*t + 12 = 4*t. Solve -t*d = -5*d + 8 for d. 4 Let p be 44/12 - (-2)/(-3). Solve p*h = h for h. 0 Let x be (17 - 16)*(-1 + 1). Solve s + 2*s = x for s. 0 Let h(z) = z**2 + 2*z - 1. Let b = -1 - 1. Let v be h(b). Let y be v/3 - 1/(-3). Solve y = t + t - 8 for t. 4 Suppose -3*o = 3*k - o - 21, 0 = 3*o. Let y = k + -4. Suppose -3*c = -i - 76, 2*i - i - 74 = -y*c. Solve c = 2*p - 7*p for p. -5 Suppose 0 = 2*s - 3*s + 4, 4*h + 36 = 4*s. Let c be 4/h*-1*5. Let p(f) = f**2 + f - 3. Let m be p(-3). Solve m*w - c*w = 0 for w. 0 Let n(s) = -6*s + 11. Let d(c) = -3*c + 6. Let g(t) = -5*d(t) + 2*n(t). Let p be g(6). Let r = -2 - -2. Solve -4*v - 10 - p = r for v. -5 Let v be 3*(-2)/3*-3. Let p be (2 + v/(-3))*-1. Suppose 21 = -p*h + 3*h. Solve -5*y + 32 = h for y. 5 Suppose -5*u + 35 = -5. Solve -u = 3*o + 4 for o. -4 Suppose -32 = -5*f - 107. Let t be (-2)/4 + f/(-2). Let x = t + -4. Solve x*a = a for a. 0 Let a = -2 + 6. Let h(k) = 6*k - 30. Let o be h(5). Solve -q = a - o for q. -4 Let d be (-2)/6*0/1. Suppose 16 + 2 = 3*f. Solve 3*j - f*j = d for j. 0 Let g(x) = x**3 + 5*x**2 - x + 4. Let h be g(-5). Suppose 0 = 5*a - 2*a - h. Suppose 5*v = -2*q + 24, 3*v - 2*q - 10 = -q. Solve a*z + 1 = v for z. 1 Let s(v) = v + 10. Let w be s(-7). Suppose 4*n = w*n + 12. Suppose h - 5*q = -13 - 7, -3*h - 3*q + n = 0. Solve h = 5*b + 24 + 1 for b. -5 Suppose -13 - 7 = -5*f. Suppose -4*v + 34 = -m, 3*v = -f*m + 22 + 13. Solve -3*s - 6 = v for s. -5 Suppose -2 = 2*h - 4*h. Suppose 0 = -2*c + 3 - h. Solve 1 = -o - c for o. -2 Let p(d) = 2*d**3 - d + 1. Let a be p(1). Solve -4*i = a + 2 for i. -1 Let w(u) = -2*u - 11. Let c be w(-8). Solve z = 2*z + c for z. -5 Let i(g) = g**3 - 7*g**2 + 2*g - 10. Let r be i(7). Let o(j) = 2*j - 5. Let v be o(r). Solve -v*k = 1 + 2 for k. -1 Let n(q) = q**3 - 6*q**2 - q - 6. Let d be n(6). Let t = -7 - d. Solve 4 - 9 = t*k for k. -1 Suppose 2 = -10*y + 22. Let f = -1 - -1. Solve f = y*p + p + 12 for p. -4 Let v(t) = t**3 + 17*t**2 + 29*t - 13. Let z be v(-15). Solve h - 3 = -z for h. 1 Suppose 11 + 4 = 5*w. Solve -w*p + 8 = -5*p for p. -4 Suppose f - 29 = -5*b, 3*f + f = 3*b + 1. Suppose -4*t - 2*u + 3 = -7*u, 4*t - 4 = f*u. Suppose k - 1 - 2 = 0. Solve k*p - 13 = t for p. 5 Suppose -3*t + 7 = -5. Solve -t*z = -z for z. 0 Let j = 16 - 11. Solve j*f + 0*f = 0 for f. 0 Suppose -3*y + 7*y = 8. Suppose -q + 3 = y*q. Solve -5 + q = -4*d for d. 1 Let g(n) = 3*n + 1. Let t be g(1). Let v(p) = 2*p**2 - 4*p - 4. Let b be v(4). Let c be 1/(-4) - (-75)/b. Solve c + 10 = -t*f for f. -4 Let u = 0 + -4. Suppose -3*b + 26 = 5*a, 2*b - 24 = -b - 3*a. Let y = u + b. Solve -n = -y*n for n. 0 Suppose 4*r + 3*j = -2*j + 52, -2*r + 4*j = 0. Suppose 2*t + 0*q - r = 4*q, 0 = t + q - 4. Let h be t + 2 + (-1 - 0). Solve -h*y - 8 - 17 = 0 for y. -5 Suppose 6*n - 2*n = 0. Solve -4*s = -n*s for s. 0 Let n = 5 + -7. Let a(y) be the first derivative of -y**2/2 + 2*y + 8. Let b be a(n). Solve 0 = -b*h + 10 + 6 for h. 4 Let c(a) = a**2 - 10*a + 12. Let v be c(9). Let w = -4 + v. Let g be 4/(-16) + w/(-4). Solve g*o = 3*o for o. 0 Let j(n) = n - 8. Let b be j(6). Let c be (b - -1 - -2)/1. Solve z - 2*z = c for z. -1 Suppose 4*v - 5*r - 31 = 0, -2*v + 0*r + 2*r = -14. Solve -6*k + v*k = -4 for k. 2 Suppose -5*o + 20 = -4*o. Suppose -5*c + 3*c + o = 0. Let v = c - -10. Solve -j + v = -6*j for j. -4 Let b = -8 + 12. Suppose -b*r = -r. Suppose 5*m - 4*x = 20, 5*x - 2*x = 4*m - 16. Solve r = n - 2*n + m for n. 4 Suppose -4*r + 4 = -28. Solve d - r = -d for d. 4 Let b(v) = -v**3 + 7*v**2 - 2*v + 17. Let y be b(7). Solve 7 = -2*r - y for r. -5 Let k be -3 + -1 + (0 - -8). Solve k + 11 = -3*n for n. -5 Suppose x - 3 = -0*x. Solve -x = -i + 2 for i. 5 Let s = 9 + -5. Suppose w + 13 - 5 = 2*g, -5*g = s*w - 7. Solve 15 = 2*k + g*k for k. 3 Let c be (8 + (-2)/2)*-1. Let a = 8 + c. Let d(j) = -j**2 - j + 15. Let m be d(0). Solve m + a = -4*f for f. -4 Suppose -4*r + 15 = 7. Solve -3*x = -r*x + 1 for x. -1 Let d(r) = -8*r - 7. Let i be d(-2). Let w be (3/1)/((-2)/(-6)). Suppose -z + w = g, -4*z = -4*g + z - i. Solve 0 = -9*o + g*o + 20 for o. 4 Let c(q) = -q**3 - 6*q**2 + 2. Let f be c(-6). Solve 0 = 2*k + 4 - f for k. -1 Suppose -17 = -8*w + 47. Solve 5*r + 3 = w for r. 1 Let c = -3 - -3. Suppose 0 = 5*s - 4*t - 144, s - 24 = 2*t - 0*t. Solve -5*y - s + 7 = c for y. -5 Suppose -2*j = -6 - 0. Let o be (-2*j)/(-6 + 4). Solve 0 = o*g - 6*g - 12 for g. -4 Let x = 0 - 0. Let p = 289 + -285. Solve -2*y + p + 6 = x for y. 5 Let s(z) = z**3 + 7*z**2 + 3*z - 6. Let g be s(-6). Solve -2*x - g = 2*x for x. -3 Let x = 23 + -8. Suppose -5*k = -8*k + x. Solve o + 0 = -k for o. -5 Let n be (2 + (-3 - -1))/1. Let j be 3/(-6)*(0 - n). Solve 9 = -3*y - j*y for y. -3 Let d(w) = -2*w**3 - 9*w**2 + 12*w + 10. Let c(k) = -k**3 + k**2 + k. Let j(g) = 3*c(g) - d(g). Let r be j(11). Solve -r = 3*q - 0*q for q. -4 Suppose 2*n - 8 = -2*n. Suppose 0 = -5*t - p - 37, 2*p - 5*p + 25 = -n*t. Let o(a) = -a**2 - 7*a + 8. Let k be o(t). Solve k = 5*b - 10 for b. 2 Let b be -1 + -20 - (3 - 5). Let n be -12 + (-3)/6*0. Let o = n - b. Solve 2*t = o*t for t. 0 Suppose -13 = -2*l + 7. Let s = 0 + 4. Let o = 7 - s. Solve 2*r + l = -o*r for r. -2 Let i = -55 + 59. Solve h + 9 = i*h for h. 3 Let b be (-20)/3*(-6)/5. Suppose 14 = 4*h + u, -2*u + 0 = -4*h + 8. Solve h*i - i + b = 0 for i. -4 Suppose 5*z + 6 - 36 = 0. Solve -2*y + z = y for y. 2 Let n(s) = -7*s + 46. Let f be n(6). Solve -f*a = -a for a. 0 Let j = 9 - 6. Let q be (-2 - (-3 - -2)) + 7. Solve -q*k + 3 = -j*k for k. 1 Suppose 3*y + 36 = -93. Let b = y + 63. Suppose -2*d + 4 = 3*s, 2*d = -s + 3*s + 4. Solve 6*n - n + b = s for n. -4 Let x be -1*1/(-2)*140/14. Solve 0 = -5*k + x - 20 for k. -3 Let k = 2 - 3. Let g(l) = -2*l - 1. Let i be g(k). Solve 4*u - 11 - i = 0 for u. 3 Let j = 8 + -2. Suppose 2*c = c + j. Solve -10 = t - c*t for t. 2 Suppose -12 = 4*t - 4. Let o be (t/(-3))/(7/21). Solve 0 = o*c + 2*c - 16 for c. 4 Suppose 0 = 3*o - 2*d - 14, 0 = 2*o + 2*o + 3*d - 30. Suppose 0*f - 5*w = -5*f - 15, -5*f - 9 = -3*w. Solve f = q - 2 + o for q. -4 Let t = 6 - 4. Suppose 0 = 3*a + 2*d + 23, t*d = 4*a - 3*d. Let u be 0 + (-1 - 1) - a. Solve -u*b + 6 = 15 for b. -3 Let f(y) = y**2 - 2. Suppose -q + 6*q = j + 126, q - 21 = -4*j. Let l be 5/q + (-11)/5. Let p be f(l). Solve p = 3*c - 7 for c. 3 Let i(d) = d**2 - 12*d - 9. Let j be i(13). Solve j*t + 4 + 4 = 0 for t. -2 Suppose -2*v + 0*v = 2*l - 8, -5*v = -4*l - 2. Solve 6 = 2*u + v for u. 2 Suppose -5*x = 5*s + 70, -5*x + 2*s = -2*x + 37. Let r = -8 - x. Solve r*m - 21 = -1 for m. 4 Suppose -11*h - 4 = -15. Solve 5*n + h = -9 for n. -2 Let v(b) be the third derivative of b**5/60 - b**4/6 - 5*b**3/6 + 4*b**2. Let w be v(5). Let m be (2/(-4))/(2/(-16)). Solve w = 4*g - 0*g - m for g. 1 Suppose 0 = 2*q - 3*q + 142. Let o = q + -6. Suppose i + o = 5*i. Solve 9 - i = -5*k for k. 5 Suppose -3*o - m + 39 = 2*m, 3*o - m - 27 = 0. Solve -3*v + 25 = o for v. 5 Let a(i) = -3*i - 42. Let w be a(-15). Solve 1 - w = -s for s. 2 Let b(k) = k - 16. Let h be b(19). Solve -h = u - 1 for u. -2 Let s = 14 + -15. Let h = 6 - s. Solve -3*r - 2 = h for r. -3 Suppose 77 = 4*q + 13. Let w be 4/(q/12) - -3. Solve -3*s = -0*s + w for s. -2 Let m be (3/2 + -2)*(-4 + 4). Solve m = 2*k - 7*k for k. 0 Let i = 8 + -3. Solve -z - i = -0*z for z. -5 Suppose 7*c + 18 = 4*c. Let t(b) be the second derivative of -b**4/12 - 4*b**3/3 - 7*b**2/2 - 5*b. Let z be t(c). Solve -5*y + 5 = -z for y. 2 Let k be (-4)/(-2) + (-36)/(-6). Solve -3*u + 2 - k = 0 for u. -2 Suppose 13 = 5*m + 3. Suppose -3*r = -3*t - 3, 0*t - m*t - 2 = r. Let k = r + 0. Solve k = 4*b + 4 - 0 for b. -1 Let f = 25 + -7. Suppose 0 = -3*h + o + 10, -o = 4*h - 0*o - f. Solve 5*g = h*g for g. 0 Suppose z = -3*c - 3, z + 3 = -3*c + 2*c. Solve c = -5*m + 5 - 20 for m. -3 Let u = 19 - 14. Let q = -3 + 5. Solve o - u = -q for o. 3
{ "pile_set_name": "DM Mathematics" }
Suppose w*j = 13 + 2. Solve 0 = 4*b - j*b - 3 for b. 3 Let l(n) = n**2 - 8*n + 8. Let m be 7/(-4)*(-5 + 1) + 0. Let v be l(m). Solve -v + 13 = -4*z for z. -3 Let a(o) = o - 1. Let i be a(1). Suppose w - 1 = -4*c + 15, 9 = w - 3*c. Solve 4*u = -w - i for u. -3 Let z be ((-13)/5)/((-16)/80). Suppose 4*f - 3*b = 2*b, 0 = 5*f - 3*b - z. Suppose u = f*u. Solve -i + 2*i - 3 = u for i. 3 Let p(d) = -d**2 - 15*d - 24. Let s be p(-11). Let w be 1/(-1)*s/(-5). Let q = -6 - -12. Solve -q*r = -w*r + 2 for r. -1 Let n(b) = 8*b + 48. Let h be n(-6). Suppose 2*y = -3*k - k + 20, 4*y - 3*k - 73 = h. Solve -o - 3*o = y for o. -4 Let b = 21 + -17. Let l(c) = 2*c**2 - 3*c - 9 - 2*c + 14. Let k be l(3). Solve -b*z + k = -0 for z. 2 Suppose 5*x + 5*u = 638 + 142, -u + 3 = 0. Solve -10*v = 143 - x for v. 1 Suppose -12*w - 5*w + 11*w = 0. Solve 5*r + w*r + 15 = 0 for r. -3 Suppose 5*z = -5*n + 5, 3*z = 3*n + n + 10. Let g be (10 - 11)*(-1 - n). Suppose m - v + g = -2, 4*v - 26 = -2*m. Solve 2*s = -m*s - 25 for s. -5 Let q(f) be the second derivative of f**3/2 - 29*f**2/2 + 29*f. Let t be q(11). Solve -5 = t*x - 1 for x. -1 Suppose 0 = -i + 18 - 5. Let l be i/5 + 4/10. Solve 2*o - l = -1 for o. 1 Let k(h) = -h**3 - 13*h**2 - 4*h - 32. Let v be k(-13). Suppose -v*t = -23*t + 18. Solve t*i - 15 = i for i. 3 Let r(k) = -k**3 + 11*k**2 - 18*k + 8. Let u be r(9). Let j be u*2/8 + (1 - 0). Solve j*x - 4*x - 1 = 0 for x. -1 Let h = -105 + 113. Let r(i) = 3*i**2 + 11*i + 23. Let u(o) = o**2 + 4*o + 8. Let n(g) = 4*r(g) - 11*u(g). Let k be n(0). Solve h*x = k*x for x. 0 Suppose 0 = 13*r + 64*r - 8239. Solve 17*q = -39 + r for q. 4 Suppose 0 = -57*m + 51*m. Solve m*g - 2 = 2*g for g. -1 Let a(d) = -d**2 - 6*d + 5. Let j be a(-7). Let h = 4 + j. Let i = -6 - -8. Solve i = y - h*y for y. -2 Let h = -117 + 119. Solve 4*i + h = 6*i for i. 1 Suppose -y + 36 = 8*y. Suppose y*x = x + 4*x. Solve -13*d + 15*d + 10 = x for d. -5 Let j(r) = -3*r**2 + r + 1. Let v(c) = -4 + 10*c**2 + 13*c**2 - 15*c**2 + c - 3*c. Let z(f) = -11*j(f) - 4*v(f). Let y be z(3). Solve y*d - 16 = -6 for d. 2 Let n = 311 - 285. Solve -36 + n = -5*o for o. 2 Let v(x) = x**2 - x - 40. Let d be v(7). Solve d*b - 10 + 8 = 0 for b. 1 Let y(w) = -20*w - 157. Let x be y(-8). Solve x*d = -2 - 1 for d. -1 Let j = 650 + -646. Solve j = -7*b + 11*b for b. 1 Let r be 10/(-45) + (-492)/(-27). Suppose 7*c + 2*c - r = 0. Solve 0 = -y - c*y - 6 for y. -2 Let m be 144/(-9) + (0 - -2). Let w be (10/2)/(2 + m/12). Solve -g - 20 = -w*g for g. 4 Let k = 338 + -335. Solve 0 = -k*v - 13 - 2 for v. -5 Let x(i) = i**2 - 11*i + 22. Let a be x(9). Solve 0 - a = k for k. -4 Let h = 858 + -848. Solve 18*r - 8 = h for r. 1 Suppose 0 = -5*z + 4*x + 6 - 2, -3*x + 28 = 4*z. Solve -z*k - 11 = -7 for k. -1 Suppose -66 - 124 = -10*o. Solve -5*u + 4 = o for u. -3 Let n(s) be the second derivative of -4*s**3/3 + 8*s**2 - 20*s. Let q be n(2). Solve 0 = -h - q*h - 1 for h. -1 Let j(y) = -4*y. Suppose 0 = -5*r - w - 3*w + 4, -3*r + 2 = 2*w. Let h be j(r). Solve h*f + 6 = 3*f for f. 2 Suppose -2*r = -2*h - 18, 5*h - 4*h + 19 = 3*r. Suppose 0 = -r*p - 14 + 39. Suppose -x = -p*x. Solve 2*m + m = x for m. 0 Suppose -2*a = -4*c - 102, 0 = -3*a + c + 90 + 38. Solve 0 = 18*o - a - 49 for o. 5 Let a(o) = o**3 - 6*o**2 + 6*o - 5. Let h be a(5). Let m(t) = -93*t - 649. Let n be m(-7). Solve 0 = -n*f - h + 2 for f. 1 Suppose 7*c - 203 = -189. Solve c*i = 4*i + 10 for i. -5 Let c(i) = -i**3 + 9*i**2 + 24*i - 7. Let s be c(11). Solve -19*b = -s*b for b. 0 Suppose 0 = 8*c + 12 - 140. Solve -c*u + 3*u = 65 for u. -5 Suppose -u + 54 - 15 = 0. Let k be ((-6)/(-5))/(u/260). Solve 4*c = k*c - 8 for c. 2 Suppose 0 = -3*g - 4*g - 455. Let t = 67 + g. Solve 4*y = -6 - t for y. -2 Let v be (11/22)/((-22)/12 + 2). Suppose -48 = -7*i + v*i. Solve -q + i = -4*q for q. -4 Suppose -6 = 21*u - 426. Solve -2*m = -30 + u for m. 5 Suppose 0*q = q. Let k(c) = -2*c + 12. Let m be k(0). Solve q*o - m = -3*o for o. 4 Suppose 0 = 3*u + 4*c - 30, 41*c - 43*c - 12 = -3*u. Solve u*x = -2*x - 40 for x. -5 Let b(v) = -v**2 + 11*v + 4. Let r be b(11). Suppose 4 = -3*n + r*n. Solve 5*u + n = 24 for u. 4 Let s = 21 + -15. Suppose s = -4*p + 6*p. Let l = 5 + -3. Solve -4 = p*f + l for f. -2 Let r = -49 - -49. Solve m = -r*m - 3 for m. -3 Suppose 5*i - 116 = -96. Solve -2*o + i = 6 for o. -1 Let g(j) = -5*j**2 - 10*j - 10. Let f(l) = -6*l**2 - 9*l - 10. Let s(n) = -4*f(n) + 5*g(n). Let p be s(-13). Solve 0 = -0*h - 3*h + p for h. 1 Let v(a) = 8*a**3 - 2*a**2 - 1. Let g be v(2). Solve 13*w - 2*w + g = 0 for w. -5 Let d(p) = -2*p + 18. Let y(u) = -u + 10. Let c(i) = -3*d(i) + 7*y(i). Let n be c(0). Solve 0*a + n = 4*a for a. 4 Let r be ((-12)/4 + 3)*(-3)/12. Suppose -3*h + h + 8 = 0. Solve r*n = -h*n for n. 0 Let z = -10 + 17. Suppose 2*j - z = -k, -10 = 2*j - 7*j. Solve -u = -k*u - 4 for u. -2 Suppose 3*q = 8*q + 15. Let i be -1*((-3 - q)/(-4))/1. Let y be (2*1)/(-2) - -4. Solve i = y*z + z for z. 0 Let q(m) = -m**3 - 1. Let f be q(-1). Suppose -3*t + 5*t = f. Suppose t = 2*o - 3 - 5. Solve 0 = o*c + 3 - 23 for c. 5 Let o(q) = 2*q**3 - 4*q**2 - 10. Let p be o(3). Solve 3*y + 10 = p*y for y. 2 Let q(v) = 10*v**2 + 15*v - 50. Let g(p) = -3*p**2 - 5*p + 17. Let u(h) = 7*g(h) + 2*q(h). Let m be u(-7). Solve -5 = m*r + 15 for r. -4 Let h(j) = -j**2 + 11*j + 47. Let c be h(14). Solve -c*t - 18 - 7 = 0 for t. -5 Let t(i) = -i**3 - i**2 - 4*i - 24. Let j be t(-3). Suppose -5*u + 2*u = -j. Solve 0*x - u*x = -4 for x. 2 Let k = -22 - -19. Let w be 1/k + (-40)/(-12). Solve -w*t + 0 = -3 for t. 1 Suppose w = -3*i + 16, w + 5*i - 34 + 8 = 0. Solve -5 = -4*h - w for h. 1 Let l = -243 + 252. Let h be 3 + (5/10)/(2/(-4)). Solve h*o + l = -1 for o. -5 Suppose -u + 2*c = 6*c + 15, -3*c = 2*u + 10. Let w be -2 - (-8)/((-2)/u). Let l be 4 - (5 + w/2). Solve l*z - z - 4 = 0 for z. 4 Let n(j) = -j**2 - 3*j + 28. Let k be n(4). Solve k = x - 4 + 1 for x. 3 Suppose 668 = 4*l + 604. Solve 9*a = 5*a + l for a. 4 Let z(c) = -1. Let j(l) = 5*l - 38. Let q(x) = j(x) - 3*z(x). Let k be q(7). Solve k = 4*n + 12 - 0 for n. -3 Let u(c) = c**3 - 2*c**2 + 3*c - 2. Let y be u(3). Suppose -2*b - y = -4*v, v + 2*b - 18 = -b. Let w = v - 2. Solve 0 = w*m + 8 + 8 for m. -4 Let r(g) = g**3 - 12*g**2 - 16*g - 15. Let q be r(13). Let k = q - -54. Solve k = -h - h - 10 for h. -5 Suppose 49 = 5*h + 74, -5*h - 40 = -5*u. Solve -6*y = -u*y - 15 for y. 5 Suppose 0 = 8*g + 5*g - 8*g. Suppose 3*h - 39 = -4*n, g = n - 2*n - h + 9. Solve 0*c = -3*c - n for c. -4 Suppose 118*j - 21*j - 2425 = 0. Solve 0 = 112*w - 117*w - j for w. -5 Let l = 192 + -191. Solve -r + 0 = l for r. -1 Suppose -1 - 3 = -o. Suppose -5*y = 4*a - 30, -3*y - o*a = -2 - 24. Suppose -3*l - 3 = -0*l, 0 = -3*b + 4*l + 10. Solve b*q = 4*q - y for q. 1 Suppose 20 = -2*d + 24. Let b be (d - -2) + 2 + -4. Solve 6 = -0*r + b*r for r. 3 Suppose 17 = s - 3*h, 183*h = -4*s + 185*h + 58. Solve -7*u = s + 14 for u. -4 Let r(j) = -j**2 - 26*j + 31. Let q be r(-27). Solve 3*g + 8 = -q for g. -4 Let j = 118 + -113. Suppose 3*l + 0*l - 141 = 0. Suppose 5*d - 3*d = -5*g + l, 3*d + 5*g - 68 = 0. Solve j*n = -d - 4 for n. -5 Let f = 51 - 35. Let z = 12 - f. Let o be z - -1 - (3 - 6). Solve o = 5*a + 10 + 10 for a. -4 Let h be (18/(-36))/(2/332). Let v = 85 + h. Solve 6 = -l + v for l. -4 Suppose -5*c - 24 - 11 = 0. Let r = c + 10. Solve 2*q + r = -3 for q. -3 Let q(u) = 2*u + 2. Let n be q(-6). Let a = -5 - n. Suppose -23 = -b + 2*y, 5*b - 42 = -3*y + 21. Solve a*k = 5 + b for k. 4 Let x = -137 - -185. Solve 55*j = x*j for j. 0 Let i be 4*(-1)/((-2)/(-4)). Suppose -2*h - 5*y + 0 + 4 = 0, -2*h + 5*y = 36. Let q = i - h. Solve q = 3*f + f + 8 for f. -2 Suppose 19*l - 202 = -69. Solve -8*j + l*j = -1 for j. 1 Let p(z) = 2*z**2 - 5*z - 164. Let g be p(-8). Solve 12*s = -64 + g for s. -5 Let d(h) = -h**3 + 7*h**2 + 4. Let n be (5/(-10))/((-3)/42). Let g be d(n). Solve g*j = j + 3 for j. 1 Suppose 6*p = 11*p. Suppose p = 3*i + 5*j - 25, 2*i = 3*j - 0*j - 15. Suppose -4*z + 2 + 10 = i. Solve 2*h = -z*h + 25 for h. 5 Let q(v) = -29*v + 292. Let b be q(10). Solve -2*d = -0*d + b for d. -1 Suppose -5*o = -2*z + 17, -25 = -5*z - 2*o - 3*o. Suppose -3*t = -7 + 1, -5*t - z = -4*n. Let c = 5 - 2. Solve n = c
{ "pile_set_name": "DM Mathematics" }
16*w**2 + 12027*w - 111 What is the q'th term of -876725, -1753587, -2630449? -876862*q + 137 What is the k'th term of -7333805, -29335244, -66004309, -117341000, -183345317, -264017260, -359356829? -7333813*k**2 + 8 What is the a'th term of -23880, -24012, -24150, -24300, -24468, -24660? -a**3 + 3*a**2 - 134*a - 23748 What is the p'th term of -76494, -150514, -224534, -298554, -372574, -446594? -74020*p - 2474 What is the a'th term of 5104, 14116, 27034, 43858, 64588, 89224? 1953*a**2 + 3153*a - 2 What is the x'th term of 206155, 206024, 205815, 205528, 205163, 204720? -39*x**2 - 14*x + 206208 What is the x'th term of 4087, 3859, 3471, 2917, 2191? -x**3 - 74*x**2 + x + 4161 What is the y'th term of 107971, 107790, 107609? -181*y + 108152 What is the q'th term of 371, 340, -21, -718, -1757, -3144? -q**3 - 159*q**2 + 453*q + 78 What is the o'th term of -1079, -4184, -9373, -16652, -26027, -37504, -51089? -o**3 - 1036*o**2 + 10*o - 52 What is the w'th term of -7267, -29554, -66731, -118798, -185755, -267602? -7445*w**2 + 48*w + 130 What is the t'th term of 138571, 276992, 415409, 553822, 692231, 830636? -2*t**2 + 138427*t + 146 What is the h'th term of -1669993, -3340064, -5010135, -6680206, -8350277, -10020348? -1670071*h + 78 What is the q'th term of 30384, 60688, 90920, 121080, 151168, 181184? -36*q**2 + 30412*q + 8 What is the p'th term of 148884, 148986, 149076, 149148, 149196, 149214? -p**3 + 109*p + 148776 What is the z'th term of 233797, 233967, 234435, 235351, 236865, 239127, 242287, 246495? 25*z**3 - z**2 - 2*z + 233775 What is the i'th term of -164138, -328517, -492896, -657275, -821654, -986033? -164379*i + 241 What is the u'th term of 9091, 36328, 81733, 145312, 227071, 327016? u**3 + 9078*u**2 - 4*u + 16 What is the a'th term of 3686879, 7373751, 11060619, 14747483? -2*a**2 + 3686878*a + 3 What is the f'th term of 128266, 128640, 129002, 129352? -6*f**2 + 392*f + 127880 What is the o'th term of -58077, -116138, -174183, -232206, -290201, -348162, -406083, -463958? o**3 + 2*o**2 - 58074*o - 6 What is the b'th term of -520063, -520001, -519827, -519487, -518927, -518093, -516931, -515387? 9*b**3 + 2*b**2 - 7*b - 520067 What is the i'th term of -995, -4909, -11427, -20555, -32299, -46665? -i**3 - 1296*i**2 - 19*i + 321 What is the t'th term of -106641, -106818, -106995, -107172, -107349, -107526? -177*t - 106464 What is the r'th term of 5559, 8123, 10687, 13251, 15815, 18379? 2564*r + 2995 What is the c'th term of -6163, -8562, -10961, -13360? -2399*c - 3764 What is the o'th term of 1576, 2687, 5706, 11587, 21284, 35751? 159*o**3 - 2*o + 1419 What is the o'th term of -1890408, -7561622, -17013648, -30246492, -47260160, -68054658, -92629992, -120986168? -o**3 - 1890400*o**2 - 7*o What is the g'th term of -2524903, -5049792, -7574681, -10099570, -12624459, -15149348? -2524889*g - 14 What is the u'th term of 1153492, 1153513, 1153536, 1153561, 1153588, 1153617? u**2 + 18*u + 1153473 What is the q'th term of -7334, -31000, -70430, -125612, -196534? 2*q**3 - 7894*q**2 + 2*q + 556 What is the r'th term of 7464, 29507, 66142, 117375, 183212? r**3 + 7290*r**2 + 166*r + 7 What is the k'th term of -18852, -75706, -170444, -303066? -18942*k**2 - 28*k + 118 What is the b'th term of -18269, -18192, -17977, -17558, -16869, -15844, -14417, -12522? 11*b**3 + 3*b**2 - 9*b - 18274 What is the i'th term of -1569521, -12556325, -42377645, -100450739, -196192865, -339021281, -538353245? -1569543*i**3 - 3*i + 25 What is the c'th term of -1201609, -1201610, -1201611, -1201612, -1201613, -1201614? -c - 1201608 What is the l'th term of 23218, 44777, 64674, 82909, 99482? -831*l**2 + 24052*l - 3 What is the b'th term of -5563051, -5563015, -5562955, -5562871, -5562763, -5562631? 12*b**2 - 5563063 What is the r'th term of -1140066, -2280143, -3420220? -1140077*r + 11 What is the u'th term of -13388, -27328, -41818, -56858, -72448, -88588? -275*u**2 - 13115*u + 2 What is the c'th term of -10013954, -10013954, -10013958, -10013966, -10013978? -2*c**2 + 6*c - 10013958 What is the p'th term of -32338, -45600, -58862? -13262*p - 19076 What is the p'th term of 129403, 517518, 1164343, 2069884, 3234147, 4657138, 6338863? p**3 + 129349*p**2 + 61*p - 8 What is the l'th term of 330649, 330666, 330695, 330742, 330813, 330914, 331051? l**3 + 10*l + 330638 What is the g'th term of 117942, 471788, 1061516, 1887126, 2948618? 117941*g**2 + 23*g - 22 What is the z'th term of -263931, -527859, -791787, -1055715, -1319643, -1583571? -263928*z - 3 What is the i'th term of 3669, 29289, 98771, 234045, 457041, 789689? 3655*i**3 + i**2 + 32*i - 19 What is the z'th term of -7344, -7337, -7320, -7293, -7256, -7209, -7152? 5*z**2 - 8*z - 7341 What is the f'th term of 213, 1110, 2559, 4560? 276*f**2 + 69*f - 132 What is the a'th term of -10982, -10715, -10288, -9701, -8954? 80*a**2 + 27*a - 11089 What is the q'th term of -76157, -152206, -228251, -304286, -380305, -456302, -532271, -608206? q**3 - 4*q**2 - 76044*q - 110 What is the l'th term of 59710, 104866, 150022, 195178, 240334? 45156*l + 14554 What is the b'th term of 65529, 524153, 1769017, 4193241, 8189945, 14152249, 22473273? 65520*b**3 - 16*b + 25 What is the f'th term of -829, -3373, -7605, -13519, -21109, -30369? f**3 - 850*f**2 - f + 21 What is the u'th term of -4378, -5978, -8576, -12172, -16766, -22358, -28948? -499*u**2 - 103*u - 3776 What is the r'th term of -484726, -484744, -484762, -484780? -18*r - 484708 What is the z'th term of 32402, 129913, 292450, 520019, 812626? z**3 + 32507*z**2 - 17*z - 89 What is the s'th term of 10529512, 21059020, 31588528, 42118036, 52647544? 10529508*s + 4 What is the s'th term of 65001947, 130003895, 195005843? 65001948*s - 1 What is the v'th term of 86027, 85861, 85681, 85481, 85255, 84997? -v**3 - v**2 - 156*v + 86185 What is the s'th term of -16356, -15457, -13958, -11859, -9160, -5861, -1962? 300*s**2 - s - 16655 What is the l'th term of 19240417, 19240418, 19240419? l + 19240416 What is the d'th term of -72285864, -72285862, -72285860? 2*d - 72285866 What is the p'th term of -5658, -5486, -5316, -5148? -p**2 + 175*p - 5832 What is the k'th term of -31410, -31350, -31266, -31146, -30978, -30750, -30450, -30066? 2*k**3 + 46*k - 31458 What is the c'th term of -707127, -1414246, -2121365, -2828484, -3535603? -707119*c - 8 What is the i'th term of 1099, 4313, 9709, 17341, 27263, 39529, 54193? 9*i**3 + 1037*i**2 + 40*i + 13 What is the x'th term of -303, -1125, -3269, -7395, -14163? -110*x**3 - x**2 - 49*x - 143 What is the v'th term of 5006450, 10012902, 15019354? 5006452*v - 2 What is the y'th term of 9805, 20067, 30791, 41977, 53625? 231*y**2 + 9569*y + 5 What is the y'th term of 39889925, 39889926, 39889931, 39889946, 39889977, 39890030? y**3 - 4*y**2 + 6*y + 39889922 What is the m'th term of 167216, 334480, 501820, 669266, 836848, 1004596, 1172540? 5*m**3 + 8*m**2 + 167205*m - 2 What is the j'th term of 104439607, 208879212, 313318817, 417758422? 104439605*j + 2 What is the o'th term of 344388127, 344388128, 344388129, 344388130? o + 344388126 What is the a'th term of 10458, 20901, 31366, 41853, 52362? 11*a**2 + 10410*a + 37 What is the q'th term of 3287997, 3287978, 3287925, 3287820, 3287645, 3287382, 3287013? -3*q**3 + q**2 - q + 3288000 What is the m'th term of 439784649, 879569296, 1319353943, 1759138590, 2198923237, 2638707884? 439784647*m + 2 What is the z'th term of -89383, -178791, -268199, -357607? -89408*z + 25 What is the i'th term of 1667848, 1667863, 1667894, 1667947, 1668028? i**3 + 2*i**2 + 2*i + 1667843 What is the k'th term of 49276, 52198, 55120? 2922*k + 46354 What is the c'th term of -144727, -143548, -142369, -141190, -140011? 1179*c - 145906 What is the w'th term of 4640674, 4640653, 4640632? -21*w + 4640695 What is the g'th term of 10294, 10436, 10578, 10720? 142*g + 10152 What is the w'th term of -364, -3019, -10156, -23989, -46732, -80599, -127804? -369*w**3 - 27*w**2 + 9*w + 23 What is the w'th term of -13333, -12453, -11583, -10729, -9897, -9093, -8323? -w**3 + w**2 + 884*w - 14217 What is the d'th term of -56437, -56509, -56587, -56677, -56785? -d**3 + 3*d**2 - 74*d - 56365 What is the l'th term of 372668, 2981422, 10062370, 23851610, 46585240? 372683*l*
{ "pile_set_name": "DM Mathematics" }
*v + g + 4*g = -388. Let w = v - 185/2. What is the third smallest value in 1/5, 1, 3, w? 1 Let s = 3.61 - 185.61. Let n = -204.4 - s. Let u = 22 + n. Which is the smallest value? (a) -0.1 (b) 1/8 (c) u c Let y = 5179/12068 + -1/1724. Which is the fourth smallest value? (a) y (b) 9 (c) -57 (d) 2/3 b Let r = 10 + -36. Let h = 32 + r. Let w be (4/h)/(0 + 2). What is the smallest value in -5, -0.07, w? -5 Let w = -311 + 1241/4. What is the second biggest value in -0.4, -1, w, 0.11? -0.4 Let l = -26 + 26.3. Let p = 19 - 15. What is the biggest value in p, l, 1? p Let x = -0.0198 - 6.4802. Let t = 13 - 19. Let m = x - t. What is the third smallest value in -4/7, m, 2? 2 Let l(i) = -4*i**2 - 44*i + 3. Let z be l(-11). Which is the third smallest value? (a) -11 (b) -4 (c) z c Let q = 0.05 - -0.22. Let o = -0.37 + q. Which is the third smallest value? (a) 1 (b) -1/8 (c) -1/4 (d) o d Let p = 132.4 + -132. Which is the third biggest value? (a) p (b) 47 (c) 5 a Let n = -31/12 + 13/4. Let x = 181.37 + -181.67. Which is the second biggest value? (a) 2 (b) n (c) x (d) -1 b Let s = 282 - 354. What is the biggest value in -2/15, s, 0? 0 Let d = -0.11 - 2.89. Let m = 39 - 38. Let h = -0.27 - 0.03. Which is the smallest value? (a) m (b) d (c) h b Let j = -73.7 + 72.2. What is the third biggest value in j, -14, -2/5? -14 Let j = -7 + 8. Let g be j + 2/3*3. Suppose -6*x - g = 3. What is the biggest value in 4, 2, x? 4 Suppose 0 = -23*t + 18*t. Suppose 2*c - 6 = -t*c. Suppose 2*q - 5 = -c*q. What is the smallest value in 0.1, q, 11? 0.1 Let p = 1 - 2. Let s = 874 + -874.1. Let r be 11/(-13) + 2 + -1. Which is the third biggest value? (a) r (b) p (c) s b Suppose 0*l + k + 9 = l, -3*l = 3*k + 3. Let c be 3*(l/(-6))/(-1). Let y = 283 + -287. What is the second biggest value in c, y, 1/4? 1/4 Let g = 0.475 - 0.075. Which is the second biggest value? (a) -0.1 (b) 0.6 (c) g c Let n be 3/33*(-63 - -3)/6. Which is the second smallest value? (a) 2 (b) n (c) 4 a Let d = -29 - -57/2. Which is the third smallest value? (a) -79 (b) 3 (c) d b Let y = -465 - -467. Let b = -14 - -23. What is the biggest value in 1/3, y, b? b Let r = -0.2497 - -0.204. Which is the second smallest value? (a) r (b) 3 (c) -1 a Let w = -569 - -573. What is the second biggest value in w, 2, -7.2? 2 Suppose 2*n = -4*x - 2*n - 32, -18 = x + 3*n. Let a = 182.2 - 180.2. What is the fourth biggest value in 0.5, x, -2/9, a? x Let r = -1150 - -1149.96. Which is the second smallest value? (a) r (b) 4 (c) -32/7 a Let u = 1260.6 + -1261. Which is the second biggest value? (a) u (b) 2 (c) -4 (d) 3 b Let g(p) = p**2 - 2*p - 47. Let n be g(-6). Which is the biggest value? (a) n (b) 4 (c) -3 (d) -47 b Suppose 18 = 5*m - 2. What is the third biggest value in 2, -1, 0, m? 0 Let h be (-13)/(-120302)*342478/20. Let n = h + -2/4627. Let l = -21/10 + n. Which is the smallest value? (a) 0.02 (b) l (c) -1 c Let u = 0.05 + -10.05. Let r = -1 - 10. Let k = r - u. Which is the third smallest value? (a) -2 (b) -5 (c) k c Let c = 309 - 314. Suppose -i = 3*i + 4. What is the second smallest value in -7, c, i? c Let z = 1.1266 - 0.1266. What is the third smallest value in z, 0.5, -4/7, 2/51? 0.5 Let u be ((4 - 1) + 7)/(-1). Let o = u + 12. Let m be 1/o + (-12 - -10). Which is the biggest value? (a) m (b) -0.1 (c) -1 b Suppose 160*v - 156 = 173*v. What is the second biggest value in 2/9, -0.01, v? -0.01 Suppose r + l = 4*l - 23, 2*r - 4*l = -40. Let h be r + (10/(-55) - 92/(-22)). Let q = 2 + -3. What is the biggest value in h, q, 3? 3 Let i = 15.1375 - 0.0175. Let k = i + -16. Let h = k - 0.12. What is the biggest value in h, 0.1, 2/15? 2/15 Suppose 14 = 7*p - 14*p. Let b be 1 + ((-91)/260)/(p/(-8)). What is the second smallest value in 1/4, 3, b? 1/4 Let h = 0.796 + -1.296. Which is the second biggest value? (a) -5/4 (b) h (c) 5 b Let d = 17.2 + -12.2. What is the biggest value in 0.3, d, 7/2, 0? d Let o = -0.14 - 0.06. Suppose 18*m - 12 = 14*m. Let i be m*4/6 - 2. What is the second smallest value in o, 1, i? i Let w be 5*(-2)/(-5) + 3. Let x(n) = -8*n**2 + 7 + 2 - 6 + 6*n + n**3. Let p be x(7). What is the smallest value in 2/13, w, p? p Let v = -112.6 - -113. Which is the third smallest value? (a) 1 (b) -4 (c) 0.23 (d) v d Suppose 492 = -10*h + 4*h. Let g = -83 - h. What is the second biggest value in 0.5, g, -0.5, 3? 0.5 Let q = -3 - -2. Suppose 10*s + 2*d = 15*s + 19, -21 = 3*s + 2*d. What is the fourth smallest value in q, s, -3, 2/5? 2/5 Let f = -6 - -4. Let t be (-8)/(-32) + 3/(36/57). Which is the smallest value? (a) 4 (b) f (c) -4 (d) t c Suppose -7*c - 25 + 32 = 0. Let n = 4.9 + -5. Let j = n + 0.06. What is the biggest value in j, -2/7, c? c Suppose -m + 16 = 2*m + 5*c, 2*m + 4*c = 12. What is the fourth biggest value in m, 5, 2/13, -1/2? -1/2 Let u be 2/5 - 7/5. Let i be 36/162 - u/9. Let v = -0.04 - 0.08. Which is the third smallest value? (a) v (b) 5 (c) i b Let j = -1.98 - -2. Let d be -2*(-1 - -2) - 1*-4. What is the smallest value in d, j, -4? -4 Let t be (-16)/30*(21/(-12) - -2). Let i = 8 + -8.3. Let v = -0.224 + 0.224. Which is the third smallest value? (a) i (b) v (c) t b Let n be -1*1*2/6. Let w = -63.7 + 63.9. What is the fourth biggest value in 3, n, w, 0.1? n Let a = -14.73 - -15.2. What is the biggest value in a, 2/13, -2, 1? 1 Let s = 2807 + -2810. What is the fourth biggest value in 1/84, 0, s, -2/9? s Suppose d = 3*d - 8. Let r = -39 - -45. Suppose -5*l = r*l + 55. What is the second biggest value in l, 0.4, d? 0.4 Let z = 4 - 2. Let p = 6634 - 53001/8. Let j = -9 + p. What is the third smallest value in j, 3, z? 3 Let x = 1.834 - -0.036. Let t = x + -5.87. Let v = -0.4 - 0. Which is the third smallest value? (a) v (b) 0 (c) t b Suppose -5*m + 2*f - 6 = 9, 0 = -5*m - 4*f - 45. Let b = -0.1 + 0.6. What is the smallest value in b, 0.1, m, -4? m Let x = -102 - -73. Let v = 33 + x. What is the smallest value in -18, -5, v? -18 Let h = -0.919 - -1.219. Let k = -3 + 5. Suppose -3*g - 5 = k*g. What is the second smallest value in 3, g, h? h Suppose 2*g + 8 = 0, 63 + 2 = 5*p - 5*g. Suppose 5*n + f = -9, 0*f - p = -3*n + 3*f. Which is the smallest value? (a) n (b) 3 (c) -5 (d) -2/15 c Let n = -1181/58 + -4/29. Which is the second smallest value? (a) n (b) 0.4 (c) -1 (d) -0.5 c Suppose -5*q = -q + 284. Let r = q - -211/3. Let c = 32 - 32. What is the second smallest value in c, -0.4, r? -0.4 Let n = 15.032 - 0.032. What is the third smallest value in n, -1/8, -4? n Let h = 4 - -2. Let k be (2 + (-14)/h)*90/(-6). Which is the second biggest value? (a) 2 (b) 6 (c) k c Let q = -330.8 + 113.4. Let b = 217 + q. Let m = -25/12 - -11/4. What is the second smallest value in -0.5, m, b? b Let k be (-10)/(-15)*(-24)/(-4). Let h = -249/4 - -62. Which is the second biggest value? (a) h (b) 0.1 (c) k (d) 1/2 d Let l = 0.525 - 0.49. Which is the second smallest value? (a) -1/6 (b) l (c) 3/8 b Let p = -8.82 - -9.92. Which is the second biggest value? (a) 14/11 (b) 4 (c) p a Let t = 0.8 - -9.2. Let d = t - 9.6. Let g = d + -0.49. What is the smallest value in g, 0.5, 5? g Let t(g) = 10*g + 45. Let f(u) = 7*u + 30. Let r(a) = 7*f(a) - 5*t(a). Let j be r(0). What is the smallest value in j, -3, -0.2? j Let i = 0.54 - -7.46. Which is the smallest value? (a) i (b) 5 (c) -2/3 (d) 0.4 c Let d = 42 + -41.65. Let y = 0.25 - d. What is the second biggest value in 0.1, y, -1/3, -2? y Let k = -355 + 359. What is the fourth smallest value in -5, 0.5, k, -0.3? k Let l = 110.5 + -110.62. What is the smallest value in 1, l, -1? -1 Let a = -0.0077 - -4.9877. Let h = -0.02 - a. Let t = 0.15 + 0.25. What is the smallest value in h, -1, t? h Let n = -53 - -49. Let t = 6 - 5.7. Let v = -0.3 + t. What is the biggest value in n, v, -1/7? v Let i be (-2)/10 + 9798/40 + 3. Let h = i + -249. Which is the third smallest value? (a) h (b) -0.4 (c) -4 (d) -16 a Let u = -0.0232 + -0.2288. What is the smallest value in -1, 0, u? -1 Let c = -0.2 + 0.1. Let n = -3.4 - -3.4. Let d = n - -0.1. What is the smallest value in -5, d, c? -5 Let h = 0.7 + 2.3. Let q = 832 + -848. Which is the smallest value? (a) h (b) -0.1 (c) q c Suppose -3*m + 15 = 3
{ "pile_set_name": "DM Mathematics" }
*k - 824 = -h. Suppose 2*i + b - 526 = 0, 44 - h = -3*i - b. Is i a multiple of 18? False Let g(j) = 3*j**2 - 16*j - 2117. Is 52 a factor of g(52)? False Suppose 0 = 3*k + 2*y - 6, -3*k - k + 3*y - 9 = 0. Suppose -3*s + k*s = 0. Suppose -7*j + s*j + 2429 = 0. Is j a multiple of 40? False Let a be (2 - (-9)/(-4)) + (-287)/(-28). Let j be (28/35)/(4/a). Suppose r + 61 = 5*v, -j*r + 0*r - 26 = -2*v. Is v a multiple of 3? True Let x be (-4 + 6 + 4)/2. Suppose 2*g + 3*t = g + 6, 0 = x*t - 9. Let n(m) = 5*m**2 + 6*m + 2. Is 5 a factor of n(g)? False Let o(y) = -125*y**2 - 49*y - 112. Let s(c) = 31*c**2 + 12*c + 28. Let l(t) = -6*o(t) - 22*s(t). Is 3 a factor of l(-2)? False Let j(x) = x**3 + 89*x**2 - 141*x - 544. Is j(-88) a multiple of 12? True Suppose 5*k + 5*u = 1805, 36*u - 41*u + 1081 = 3*k. Is k a multiple of 5? False Suppose 3810234 - 988862 = 61*w. Does 68 divide w? False Suppose -15*g + 2 = -14*g. Let l be (-16)/(-4)*g/8*406. Is 10 a factor of (-9)/3*l/(-21)? False Suppose 20 = 5*a, -2*x - 6*a + 5*a = -8. Suppose -l + y - 2*y + 683 = 0, l + x*y - 682 = 0. Does 30 divide (1/(-3)*4)/((-8)/l)? False Suppose 5*p + 3*g - 20 = 8*g, -3*p - 3*g = 12. Suppose 15*x - 22*x + 3367 = p. Is x a multiple of 13? True Suppose -111*g + 269409 + 591618 = 0. Is g a multiple of 23? False Let r be ((-20)/30)/(8/24). Let d = -2 - -6. Is 3 + r + d/(-2) - -19 a multiple of 2? True Let y be (-2)/5 + 24/10. Let t = -2310 + 2390. Suppose y*g = -2*g + t. Is g a multiple of 20? True Suppose 3*g + 24*g - 19*g - 245496 = 0. Is 53 a factor of g? True Suppose 0 = 5*v - r - 242420, -2*v + 48480 = -5*r - 48488. Is v a multiple of 102? False Let j = 249 - 111. Suppose -2*u + 723 = -3*y, j + 344 = -2*y + u. Let t = 373 + y. Does 34 divide t? False Let x be (-45)/(-10)*(-12)/27. Is ((-63)/x)/((-15)/(-200)) a multiple of 15? True Let y = 87 + -71. Suppose 13*i - y*i = -486. Suppose 0*t = -6*t + i. Does 3 divide t? True Suppose 13460 + 28720 = 38*n. Does 30 divide n? True Suppose 2*q + 0*p + p - 5 = 0, -4*p = -4*q - 8. Suppose -s + q = -j, 18 = 3*j + 5*s - 3. Suppose -j*x - 208 = -4*x. Is 13 a factor of x? True Let i(c) be the second derivative of c**3 + 16*c**2 + 28*c. Let x be i(-5). Suppose 0 = -x*d + 82 - 18. Is 4 a factor of d? True Let i = -2124 - -3888. Suppose 5*l + 1764 = 2*h, 0 = -h - h - l + i. Is h a multiple of 49? True Let z be ((-104)/18 - -6) + 6962/18. Let x = 411 - z. Is 12 a factor of x? True Suppose -5*f - 2603 = 3*c, -3*f + 4*c = -0*f + 1556. Let i = 614 + f. Is i a multiple of 8? False Let p(v) = -v**3 - 10*v**2 + 24*v - 11. Let l be p(-12). Is 18*(1056/(-18))/l a multiple of 20? False Let p(g) = 8*g + 7. Let n(q) = 145*q + 125. Let h(d) = 6*n(d) - 110*p(d). Let o be h(-6). Suppose 2*f + o = -c + 128, -3*c - 2*f = -248. Is c a multiple of 12? False Suppose -2*p = -d - 183, -3*p + 0*d = -3*d - 282. Let a = p + -85. Does 7 divide (17 + (0 - 12/a))/2? True Let m(w) be the third derivative of 7*w**5/30 + 7*w**4/12 + 17*w**3/6 + w**2. Let a(q) be the first derivative of m(q). Is a(7) a multiple of 22? False Let u(m) = -63*m - 1475. Let c be u(0). Is 82 a factor of (-2 + c + 1)*-1? True Let w be (-17 - -1)/((-2)/3). Let r = 846 + -837. Does 9 divide 3/r*9 + w? True Suppose 4137 + 6385 = 5*j + 2*u, -8412 = -4*j + 4*u. Does 56 divide j? False Suppose -3*p + 5 = -2*p. Suppose 3*d - 2 = 2*t, t + 2*t + 2 = p*d. Is 8 a factor of 1/t + 1*(-490)/(-8)? False Let l = 378 + 4575. Does 12 divide l? False Let o = 544 + -502. Does 39 divide ((o - 1) + 1)*1599/82? True Let s(u) = 125*u**2 - 4*u - 3. Let f be s(-1). Suppose -3*b - f = 3*b. Is (-3)/(-21) - 1509/b a multiple of 18? True Let v = 56 + -51. Suppose v*i - i - 8 = 0. Is (-9)/((6/(-9))/i) a multiple of 6? False Suppose -5*a + 12122 = 4*b - 0*a, -4*b + 4*a = -12068. Is b a multiple of 13? False Let j be 1924*(30/90)/((-4)/(-6)). Let a = j + -686. Is 19 a factor of a? False Let i be (-3)/(-9) + (-326)/(-3). Let j = i - 20. Let m = -54 + j. Does 9 divide m? False Suppose 178*t = 106917 + 90031 + 34808. Is t a multiple of 6? True Let r = -191 + 290. Suppose 0 = 91*l - r*l + 4800. Is 6 a factor of l? True Let j(t) be the first derivative of t**4/4 + 7*t**3/3 - 10*t**2 + 4*t + 185. Does 21 divide j(-7)? False Suppose 9*v - 27656 = 2098. Is 57 a factor of v? True Let c(m) = -5*m**3 - 9*m**2 + 2*m + 15. Let h(s) = 4*s**3 + 9*s**2 - s - 14. Let f(r) = -3*c(r) - 4*h(r). Let i be f(-8). Let y = 57 + i. Is y a multiple of 10? True Let w(q) = 34*q**2 - 54*q + 341. Is w(-38) a multiple of 65? False Let j(z) = 291*z - 4823. Is j(57) a multiple of 60? False Suppose 5*d + 4 = 2*t + 17, 6 = -2*d - 2*t. Let r be 2 + 1 + (-9 - -1) + d. Let x(u) = u**3 + 3*u**2 - 9*u + 3. Is 4 a factor of x(r)? False Let m(o) = -o**3 - 16*o**2 + 19*o - 11. Let c be m(-18). Let d = c + -175. Suppose d = 6*f - 2*f. Does 8 divide f? False Let f = 431 + -430. Does 7 divide -1183*f/(-4) + 8/32? False Suppose -96*c - 18265 + 84171 = -9166. Does 46 divide c? True Let x = -292 - -492. Suppose -s + x = -130. Is 22 a factor of s? True Let m(h) = -7*h**2 - 16*h - 26. Let c be m(-14). Does 51 divide 1 - c - 20/10? True Let n(g) = 3*g + 26. Let q be n(-7). Let r be (q - (25 + -4))*(-1 + 0). Is 4 a factor of (r - (7 + (1 - 5))) + 3? True Suppose 0 = -3446*q + 3398*q + 401520. Does 239 divide q? True Let n = -978 + 7478. Does 52 divide n? True Let m = -392 - -392. Suppose 3*y - 12*y + 4653 = m. Does 47 divide y? True Let y(s) = s - 1. Let h(v) = 27*v + 2. Let l(r) = 3*h(r) - 6*y(r). Is 73 a factor of l(3)? False Let h(k) = 2*k**3 - 183*k**2 - 191*k - 264. Does 9 divide h(93)? True Let k(f) = -182*f - 117. Suppose 179*w - 192*w = 78. Does 39 divide k(w)? True Let n be ((20/(-15))/(-2))/((-4)/(-30)). Is 5 a factor of (n/(-2))/(2/(-164))? True Let k(j) be the second derivative of 5*j**4 - 7*j**3/6 + 9*j**2/2 + 34*j. Let v be k(2). Suppose -101 - v = -6*c. Is c a multiple of 8? True Let t be 15/12*(-8)/(-5). Suppose 0 = t*a - 3*a + 108. Is a a multiple of 6? True Let p(g) = -318*g - 3330. Does 14 divide p(-18)? True Let h(t) = 653*t + 459. Let w be h(12). Suppose 0 = n - 16*n + w. Is 7 a factor of n? True Let z = 2946 - 663. Is z a multiple of 29? False Let c = 885 + -879. Suppose -2*v - 1884 = -5*u, 0 = c*u - 5*u + 2*v - 372. Is 16 a factor of u? False Suppose -3*f - 2*o = 1, 5*o + 2 = -3*f - 5. Is f*(-5 - 68)*-3 + 5 a multiple of 25? False Suppose 0 = 106*h - 7*h - 402930. Is h a multiple of 22? True Let o(i) = 11*i**2 - 30*i - 11. Let v be o(6). Let h be (-4)/(-14) - (-2)/(-7). Suppose j = 4*t - 150 - v, j + 3 = h. Does 27 divide t? False Let m(n) = n**3 + 6*n**2 + 8*n - 7. Let o be m(-4). Let w(g) = -3*g**3 - 15*g**2 + 3*g + 20. Does 16 divide w(o)? False Let c = 885 - 302. Suppose 46*z - 1172 = -2*b + 48*z, -4*z = -b + c. Is 15 a factor of b? False Let l(y) = -y**3 + 22*y**2 - 38*y + 20. Suppose 64 = 3*m - q, 40 = 3*m - 62*q + 67*q. Is 6 a factor of l(m)? True Is (-491)/(4/14 + (-4653)/13860) a multiple of 7? False Suppose 129148 + 192852 = -3*x + 73*x. Is x a multiple of 200? True Let y = -2594 - -6729. Suppose 0 = -2*s - 3*s - 3*p + y, 1670 = 2*s - 2*p. Is 58 a factor of s? False Is (22 + 2010)/(14/175) a multiple of 30? False Let o(r) = -2*r**3 - 6*r**2 - 4*r + 2. Let t be o(-4). Does 10 divide 2/(-5) - (-10570)/t? False Let k(w) be the third derivative of 19*w**4/4 + 47*w**3/6 - 267*w**2. Is 19 a factor of k(15)? False Suppose -419 = 5*x - 4*c, -5*c + 170 = -2*x - 4*c. Let z = 117 - x. Does 23 divide z? False Let i(o) = -5 - 15*o + o + 28 + 2*o**3 + o**2 + 2 + 0*o**3. Is i(8) a multiple of 77? True Let v = 955 - 403. Let q = -56 + v. Is q a multiple of 13? False Let j = 19691 - 9371. Is j a multiple of 48? True Let r(f) = 0*f + 2*f + 124 - 3*f - 125 + 42*f**2. Suppose -4*d - 1 = 5*z, -3*z - 6 = 2*d - 5*d. Does 3 divide r(d)? False Let m = -123 + 126. Let n(v) = 2*v**3 + 7 - v**3 - 6*v**2 - v**3 - v**m - v. Is 2 a factor of n(-6)? False Suppose 4*k + 457*c = 452*c + 12735, -12711 = -4*k + 3*c. Is k a multiple of 30? True Let w(i) = i**3 + 15*i**2 + 14*i + 4. Let y be w(-14). Suppose -y*n + 59 = 3*r, -5*r + 4*n + 145 = -n. Does 2 divide r? False Suppose -190*q + 535968 + 469421 = -564201. Is 88 a factor of q? False Suppose i - 11 = o, -4*i = 4*o - 26 + 14. Is 24 a
{ "pile_set_name": "DM Mathematics" }
-4 (b) 3 (c) 1/31 (d) -9/5 d What is the nearest to -2 in -2.3, 0.3, -1? -2.3 What is the nearest to 0.1 in -1, 0.4, 18? 0.4 Which is the nearest to -1? (a) 3.2 (b) 2 (c) 0.1 (d) 4/5 c Which is the closest to 1/50? (a) -4/3 (b) -1/2 (c) 5 b What is the closest to -0.1 in -1, 0, -13723? 0 Which is the nearest to 0.06? (a) -3 (b) 9 (c) -0.16 c Which is the nearest to 0.1? (a) 0.2 (b) -1/5 (c) 0.14 c What is the nearest to -1 in -4, 4, 1214? -4 What is the nearest to -0.1 in 7, -4, 0.2, -9? 0.2 Which is the nearest to -0.5? (a) 2 (b) 2/17 (c) -3/5 (d) -0.01 c Which is the closest to -4/5? (a) 1 (b) 1/4 (c) -1/3 (d) -9.2 c Which is the closest to -1/4? (a) -1 (b) -19 (c) -1/3 (d) -5/3 c Which is the nearest to 3/8? (a) 0.5 (b) -77 (c) -1/4 a Which is the closest to -1? (a) 4 (b) -0.5 (c) -0.11 (d) 2/5 b What is the nearest to 1 in -0.4, -24, 0.5? 0.5 Which is the closest to 1.7? (a) 5 (b) -5 (c) 1 c Which is the closest to 3? (a) -2/3 (b) 0 (c) 8 (d) 2 d Which is the nearest to -1? (a) -2/11 (b) 28 (c) -3 (d) 4 a What is the nearest to 0.1 in 25, -1.1, 0? 0 Which is the closest to 3/7? (a) -1 (b) 2/7 (c) 5 b What is the nearest to -0.1 in -2, 5, -1, 51? -1 Which is the closest to -6? (a) -0.4 (b) 1/5 (c) -1 c What is the closest to 0.1 in 73, -4, -1/2? -1/2 Which is the nearest to 1? (a) -0.17 (b) 5 (c) 0.1 (d) 0 c What is the closest to 0 in -27/5, 1/2, -1? 1/2 What is the nearest to 5/3 in -15/8, -0.3, 0? 0 What is the nearest to -1/29 in -3/8, 3, -0.2, 2? -0.2 Which is the closest to 1? (a) 0.07 (b) -1/5 (c) 2 a What is the nearest to 0 in -0.1, 0.4, -19? -0.1 Which is the nearest to -2? (a) -0.4 (b) -11 (c) 0 a Which is the closest to -0.7? (a) 1/5 (b) -4 (c) 2/3 (d) 0 d Which is the nearest to 10? (a) 0.04 (b) -0.1 (c) -0.2 (d) 0 a What is the nearest to 0 in 5, -2/7, 0.41? -2/7 Which is the nearest to 2? (a) 0.3 (b) 0.1 (c) -1 (d) 1/17 a What is the closest to 0.21 in 17, -1, 2? -1 Which is the nearest to 0.1? (a) -22 (b) 20 (c) -0.2 c Which is the closest to 1/4? (a) -7 (b) 1/6 (c) 10 b What is the nearest to -6 in 12, -4, 0.2? -4 Which is the nearest to -5? (a) 3/2 (b) -52/11 (c) 0.4 b What is the closest to 5 in 1, -1/4, -2/5? 1 What is the nearest to -2/5 in 4, 14, 1/7? 1/7 What is the nearest to -0.2 in 0.2, -5, -4, -3? 0.2 What is the nearest to 2/3 in -0.4, -3/2, -25? -0.4 Which is the nearest to 0.2? (a) -0.12 (b) 2/5 (c) 0.07 (d) 2/9 d What is the closest to -1/14 in 1/9, -3, -1? 1/9 What is the nearest to -2/9 in 0.2, 1/3, -23? 0.2 What is the nearest to -1/3 in -2/33, -31, 5? -2/33 What is the closest to 0.2 in -4, -8, 1, 2? 1 What is the closest to -0.04 in 0.1, 0.66, 2/15? 0.1 What is the closest to 0 in 10, 5, 1, -0.2? -0.2 What is the nearest to 0.01 in 2/17, 1/2, -8, 0.1? 0.1 Which is the nearest to 2.3? (a) -6 (b) 5 (c) 1 c Which is the closest to -1/2? (a) 4 (b) 5 (c) 0.31 (d) -3 c Which is the nearest to -1/2? (a) 1 (b) -3 (c) 2/11 c Which is the nearest to -2? (a) 0.5 (b) -2/5 (c) 1.24 b What is the nearest to 0.1 in 5, 2/17, 2/5, -10/11? 2/17 What is the closest to 0 in -3/2, -3, 2/7, -52? 2/7 Which is the closest to 0.8? (a) 0 (b) 1/4 (c) -0.4 (d) -2/7 b Which is the nearest to -8? (a) -0.3 (b) -5 (c) 0.1 (d) -3/4 b What is the nearest to 0 in 1/4, 1, -3/10, -9? 1/4 What is the closest to -2 in 3, -4/3, 6/7, -0.2? -4/3 Which is the nearest to -2/3? (a) -0.2 (b) 4 (c) 0.18 a Which is the closest to 1? (a) -0.2 (b) 3 (c) -10 (d) -5 a Which is the nearest to 1/30? (a) -2/7 (b) -2/3 (c) -1/5 (d) -4 c What is the nearest to 4 in 2, 3, -0.3, 4? 4 What is the nearest to -0.2 in -0.2, -126, -5/3? -0.2 Which is the nearest to -2? (a) -0.2 (b) -10/13 (c) 1 b What is the closest to 0.8 in 0, 2, 1/3? 1/3 Which is the closest to -10/11? (a) 0 (b) -0.2 (c) -1/2 c What is the nearest to -2/3 in -64, -4, 0? 0 Which is the closest to 0.2? (a) 0.4 (b) -29 (c) 5 a Which is the closest to -1? (a) -3/5 (b) -9 (c) 0.5 a What is the closest to 3/14 in 16, -15, 5? 5 What is the closest to 1 in -20, -0.03, -1/4, -2? -0.03 Which is the closest to 1/3? (a) 2/15 (b) 1/4 (c) -3 (d) 0.24 b What is the closest to -1 in 0.4, -1/3, -5, 7? -1/3 What is the nearest to -2 in 4.3, 1/2, -4, -2? -2 What is the nearest to 0.1 in -0.2, -1, 1.6, 0? 0 Which is the nearest to 0.1? (a) 1.2 (b) 68 (c) 1 (d) -5 c Which is the nearest to 0.1? (a) -5 (b) -2 (c) 0.2 (d) 10/59 d What is the nearest to -1 in -58, 4, 2, 3? 2 Which is the nearest to -1/2? (a) 276 (b) 10 (c) -4 c What is the closest to -1/2 in -3, -2, -11/20? -11/20 What is the nearest to -3/4 in -0.02, 5/2, 2/5? -0.02 What is the nearest to 2/7 in 2/13, -0.4, 5/14? 5/14 What is the closest to -2 in 0.2, 3, -0.141? -0.141 Which is the closest to 8? (a) 0 (b) -2 (c) 0.5 c Which is the closest to 0.1? (a) -16 (b) -0.7 (c) -0.025 c Which is the nearest to 0? (a) -4/7 (b) 40 (c) -2 (d) -6 a Which is the nearest to 0? (a) 2/33 (b) 2/5 (c) 3/4 a Which is the closest to -2.5? (a) -0.08 (b) 1 (c) 0.7 (d) -3 d What is the closest to -3 in 2, 0.5, -4, -0.9? -4 Which is the nearest to -2? (a) 3/7 (b) 6 (c) -0.9 c What is the nearest to 5 in -0.3, -0.16, 1? 1 What is the nearest to -0.3 in -5, -1, 71? -1 What is the closest to -6 in -1, -4, -0.2, 0.33? -4 What is the closest to 2/81 in 1/10, 3, 5, 4? 1/10 Which is the closest to 2/7? (a) 1/5 (b) -1/16 (c) -1/6 a Which is the closest to 7? (a) -0.2 (b) 0.2 (c) -5 (d) 0.4 d What is the closest to 0.1 in 1/3, 1, 272, -1/6? 1/3 What is the nearest to -6 in -5, -52, 5? -5 Which is the nearest to -2? (a) -3 (b) -2/7 (c) 0.3 a What is the closest to -20.98 in -0.2, -1, 3/4? -1 Which is the closest to 12? (a) 0.07 (b) -1 (c) 2 c What is the nearest to 0.08 in 12, 1/2, 0.2? 0.2 What is the nearest to 1 in -0.5, -45, 2/9, -3? 2/9 Which is the nearest to -0.078? (a) 5 (b) -3 (c) -0.03 c Which is the nearest to 2/5? (a) -0.04 (b) -3/4 (c) -33 a Which is the nearest to -1/1503? (a) 0 (b) -3/2 (c) 2 a What is the nearest to 1 in -4, -1/14, -2/5? -1/14 Which is the closest to -0.041? (a) 4 (b) -5 (c) -4 c What is the nearest to 1 in -2/5, 10.8, -4? -2/5 Which is the nearest to 0.02? (a) 0.4 (b) 0.08 (c) 2/3 b Which is the closest to 0? (a) 4 (b) -5 (c) -0.3 (d) 4/9 c Which is the closest to -2/15? (a) 2/5 (b) -0.3 (c) -2 (d) 3 b Which is the nearest to -1/14? (a) 6 (b) -1/5 (c) 3 b What is the nearest to -2/7 in -11.1, 1, 0.4? 0.4 Which is the closest to -36? (a) 2/15 (b) -16 (c) 4 (d) -3 b What is the closest to 0.1 in 0.02, 55, 1/4? 0.02 What is the closest to 0 in -2, 8, -136? -2 What is the closest to -2 in -3, -5, 240? -3 Which is the closest to 0.1? (a) -0.5 (b) 4 (c) 6/11 c Which is the nearest to -9? (a) -0.4 (b) -2 (c) -0.3 b Which is the nearest to -0.1? (a) -3 (b) -2 (c) -3.1 (d) 5 b Which is the closest to 2? (a) -5 (b) 2/5 (c) 13 (d) -2/17 b What is the nearest to -1/2 in -2/187, -3, 0.5? -2/187 What is the nearest to -1 in 1/4, 2/13, -0.3, 5? -0.3 What is the closest to 2 in -0.3, 0.2, 2/11, -5/2? 0.2 What is the nearest to 1/8 in 2, -0.1, -2/5? -0.1 What is the closest to -0.3 in 4, -0.5, -4? -0.5 Which is the nearest to 0? (a) 0.2 (b) 4 (c) -1/6 (d) 1 c Which is the nearest to -4? (a) 5 (b) 0.1 (c) 4/5 (d) 0.3 b Which is the closest to 0.09? (a) -2 (b) -0.01 (c) 10 b What is the nearest to 0 in -2/7, 0.04, -5, -0.1? 0.04 What is the nearest to 2 in 2/19, 0.05, 1/6, 0.2? 0.2 Which is the closest to 8? (a) 4 (b) -0.3 (c) -2 a What is the closest to 19/33 in -0.4, -2, 0.5? 0.5 Which is the nearest to -1/2? (a) 47 (b) -3/5 (c) -1 b What is the closest to -0.1 in 0.05, -0.3, 0.4, -0.4? 0.05 What is the nearest to -35/2 in -1/2, 3/4, -2? -2 Which is the closest to 0? (a) 5 (b) 1 (c) 2 (d) 4 b Which is the nearest to 1? (a) 0.5 (b) -0.06 (c) 2/5 (d) -2/11 a What is the closest to 10 in 0.3, 0, -5, 0.4? 0.4 Which is the nearest to -2? (a) 4 (b) -0.2 (c) 4.3 (d) -1/3 d Which is the closest to 0? (a) -1/4 (b) -3/2 (c) 0.06 (d) -2 c Which is the closest to 2/5? (a) -7/5 (b) -2 (c) 119 (d) 2/9 d Which is the nearest to
{ "pile_set_name": "DM Mathematics" }
wrt p. 84*p - 12031252 Differentiate -229501*g**4*m**3 + g*m**3 + 3*m**3 + 197983*m**2 - m + 2 wrt g. -918004*g**3*m**3 + m**3 Differentiate -23*n**2*p**3 - 263*n**2 - 415860*n*p**4 - 65*n + 351 with respect to p. -69*n**2*p**2 - 1663440*n*p**3 What is the third derivative of -1092207298*n**3*u**2 - n**2*u**2 - 38262209*u**2 wrt n? -6553243788*u**2 What is the derivative of 2*o**4 - 168898089*o + 356970550? 8*o**3 - 168898089 Find the third derivative of -53*f**3*i**2*s + 29*f**3*i*s + 738*f**3*i - 2*f**2 - 683*f*i*s + 3959*i**2 - 1 wrt f. -318*i**2*s + 174*i*s + 4428*i Find the second derivative of -116485458*g**4 + 12875708*g + 7. -1397825496*g**2 Find the third derivative of -7067*z**4 + 507*z**3 + 39704609*z**2 wrt z. -169608*z + 3042 Differentiate -670297336*r - 980757535 wrt r. -670297336 Find the first derivative of 57*n**3*r - 2*n**3 + 391285*n*r + 844*r + 211384 wrt n. 171*n**2*r - 6*n**2 + 391285*r Find the first derivative of 2*i**3 - 14*i**2 + 564*i + 15844162 wrt i. 6*i**2 - 28*i + 564 What is the second derivative of 10*g*h**2 - 242538*g*h - 76045*h**2 - h wrt h? 20*g - 152090 What is the third derivative of 2*k*m**3*v + 108958043*k*m**3 - 8*k*m**2*v + 2*k*m**2 + 532*k*m*v + 2*k*m - 2*m**2 + 4*m*v + 407*v wrt m? 12*k*v + 653748258*k Find the third derivative of -876043477*v**4 + 171167*v**2 + 681*v. -21025043448*v What is the second derivative of 3119705*w**5 - 29981*w + 42? 62394100*w**3 What is the second derivative of 44*f**5 + 59614*f**3 - f**2 + 44942634*f wrt f? 880*f**3 + 357684*f - 2 What is the first derivative of 12170551*o + 31296611 wrt o? 12170551 Find the third derivative of k*l*m**3 - 500*k*l*m**2 + k*l - 4*k*m**3 - 3*k*m**2 + l*m**3 + 4*l*m**2 + 2494764*m**3 - 22 wrt m. 6*k*l - 24*k + 6*l + 14968584 What is the second derivative of 14*g**2*n**3 - 3112*g**2 + 5*g*n**2 + 297*n**3 - 405*n wrt n? 84*g**2*n + 10*g + 1782*n Find the second derivative of 598819233*q**3 - 247235285*q wrt q. 3592915398*q What is the first derivative of -2*m**3*n**2 + 2*m**3 + 97*m**2 + 9797*m*n**3 - 69*m - 16*n + 16 wrt n? -4*m**3*n + 29391*m*n**2 - 16 Find the third derivative of -797*j**5 + 14750*j**3 - 423*j**2 + 1416*j. -47820*j**2 + 88500 Find the second derivative of 21009354*c**2*l*n**2 + c**2*l*z + c*l*n**2*z - 98*c*l*n**2 + 109*c*n**2*z + c*n**2 + 8*l*n**2 + l*n + 2*n**2*z - n*z wrt c. 42018708*l*n**2 + 2*l*z Find the second derivative of -55363056*f**2 + 50066959*f wrt f. -110726112 What is the third derivative of -359030405*v**3 - 37910*v**2 + 6*v + 60 wrt v? -2154182430 Differentiate -350*i**3*y + 2*i**3 + i**2 - 375*i + 15917*y**3 - 66 with respect to y. -350*i**3 + 47751*y**2 What is the third derivative of -1606743*t*w**4 + 620*t*w**2 + 154*t*w + 2*t - w**4 + 54*w**3 - 29*w**2 wrt w? -38561832*t*w - 24*w + 324 What is the first derivative of 17*s**3 + 5884844*s**2 + 87526526? 51*s**2 + 11769688*s Differentiate 17*k**2*p**3 - 96255436*k**2 + 5850612*p**3 + 3 wrt p. 51*k**2*p**2 + 17551836*p**2 Differentiate -5*w**4 + 5*w**3 - 340*w**2 + 6*w - 34012828. -20*w**3 + 15*w**2 - 680*w + 6 Find the third derivative of 8952143*t**4 - 3*t**2 + 1040*t - 59. 214851432*t Find the second derivative of -55268446*p**2*q**2 - 191842*p*q**2 - 86*q**2 wrt p. -110536892*q**2 Find the second derivative of -173616158*z**4 + 78206025*z. -2083393896*z**2 Find the second derivative of -413*z**4 - 2681*z**2 + 1611220*z + 3. -4956*z**2 - 5362 Find the first derivative of -3*k**4 - 321*k**3 + 10*k**2 + 5*k + 21765201. -12*k**3 - 963*k**2 + 20*k + 5 Find the second derivative of -2902*n**3 - 342*n**2 + 3412454*n. -17412*n - 684 What is the first derivative of 13*g*h**2 - 327*g - 17756660*h**2 - 1139693 wrt h? 26*g*h - 35513320*h Find the third derivative of -1817*i**5 + 1602*i**4 + 145354*i**2 + 11 wrt i. -109020*i**2 + 38448*i What is the second derivative of -32*p*z**4 + 61036*p*z**3 + p*z - 2*z**2 + 4978322*z wrt z? -384*p*z**2 + 366216*p*z - 4 What is the second derivative of 7*i**3 - 3164505*i**2 + 246927744*i wrt i? 42*i - 6329010 What is the first derivative of 606730922*v + 926431172? 606730922 Find the third derivative of 9610988*u**3 + 6*u**2 + 7685*u + 71. 57665928 What is the third derivative of 36003926*b**6 - 1334826446*b**2 wrt b? 4320471120*b**3 What is the derivative of 524808*z**3 - 18*z + 8435125 wrt z? 1574424*z**2 - 18 What is the second derivative of -5429748*a**2*z - 33124*a*z + 80*a wrt a? -10859496*z Find the second derivative of 8*i**5 - 330628*i**2 + 422*i + 384. 160*i**3 - 661256 Find the second derivative of 49135*t**3*y**2 + 495*t**3*y - t*y**2 - 168*t*y + 28*t + 943 wrt t. 294810*t*y**2 + 2970*t*y Find the third derivative of -47322772*c**3*j + 66*c**2*j - 175687*c**2 wrt c. -283936632*j Differentiate 2*k**2 - 19400377*k*x + 2*k - 104*x - 2691528 wrt k. 4*k - 19400377*x + 2 Find the third derivative of -452748158*l**3 + 429*l**2 + 79679*l. -2716488948 What is the second derivative of 289706840*g*q**3 + 46711214*g*q + 5*q wrt q? 1738241040*g*q Differentiate 501*q**3 + 1210*q**2 - 4799574 with respect to q. 1503*q**2 + 2420*q Find the second derivative of 223*g**4 + 56347*g**3 - g**2 - 216301946*g. 2676*g**2 + 338082*g - 2 Find the third derivative of -1309729*a**4 - 9*a**3 + a**2 - 40863*a + 24 wrt a. -31433496*a - 54 Find the second derivative of 4063380*i*n**3*r**2 + 41*i*n**2*r**3 + 176*i*n - i*r**3 + 17*i*r**2 + 292*r**3 - r**2 wrt n. 24380280*i*n*r**2 + 82*i*r**3 Differentiate 2*q**4 - q**3 + 14*q**2 + 81879*q - 34063515. 8*q**3 - 3*q**2 + 28*q + 81879 Find the first derivative of -13*c*u**2 - c*u - 10394596*c - 2*u**2 - 7326009*u - 1 wrt c. -13*u**2 - u - 10394596 Differentiate -p**2*u**2 + 832068*p*u**2 - 21074134*u**2 wrt p. -2*p*u**2 + 832068*u**2 What is the third derivative of -b**2*f**3*y - 96178*b**2*f**2*y + b*f**2*y**2 + 2231*f**3*y**3 + 2714*f**3 + 5*f*y**3 + 6*y**2 + 2*y wrt f? -6*b**2*y + 13386*y**3 + 16284 Differentiate -34188263*p**3 + 24455504. -102564789*p**2 What is the second derivative of 15960595*h**4 + 13517195*h - 2 wrt h? 191527140*h**2 What is the second derivative of 16944250*b**5 - 957743*b wrt b? 338885000*b**3 What is the derivative of 59157471*b**2*q**3 + 217258*b**2 - 16*b + 4 wrt q? 177472413*b**2*q**2 Find the third derivative of 208*i*k**3*s + 17982*i*k**2*s + 2*i*k**2 + 11*i*k - i*s + 31665*k**4 + k**2 wrt k. 1248*i*s + 759960*k Differentiate 37585*q**3 + 5*q**2 - 8*q + 6088481. 112755*q**2 + 10*q - 8 What is the second derivative of -3694547*y**2 + 89*y - 31334 wrt y? -7389094 Differentiate 10372550*w - 11482957 wrt w. 10372550 What is the second derivative of 470486*d**2*o**2 + 48*d**2 - 1050*d*o**2 + 3*d*o - 5111*o**2 - o wrt d? 940972*o**2 + 96 Find the third derivative of 381*k*t**3*y**3 - 16*k*t**3*y + k*t**2*y - 2*k*x*y**3 + 1328*k*y**3 - 21*k*y**2 + t**3*x*y**2 + 6*t**3*y - 3*t**3 + t wrt y. 2286*k*t**3 - 12*k*x + 7968*k What is the first derivative of 182*h**4 + 8*h**3 + 7658*h**2 + 101819681? 728*h**3 + 24*h**2 + 15316*h Find the first derivative of 1038549283*t**3 - 872182399 wrt t. 3115647849*t**2 Find the second derivative of -4340007*x**5 + 16*x - 158196. -86800140*x**3 What is the first derivative of -5754*d*h**2 - 1211*d*h + 1931916*h**2 + 5*h wrt d? -5754*h**2 - 1211*h What is the second derivative of -732391*y**5 + 3*y**3 + 97251*y - 73? -14647820*y**3 + 18*y What is the second derivative of 38962836*o**4 - 3*o + 4239453 wrt o? 467554032*o**2 Differentiate -667945261*k**2 - 454941353 wrt k. -1335890522*k What is the first derivative of -2376*w**4 + 2197*w**3 + 37990032? -9504*w**3 + 6591*w**2 What is the derivative of 6637665*g**3*u - 2461547*g**3 + 4*g*u - 6*g wrt u? 6637665*g**3 + 4*g Find the second derivative of -l**4 + 2*l**3 + 527455*l**2 - 45*l + 18158 wrt l. -12*l**2 + 12*l + 1054910 Differentiate -433382*j**3 + 123*j**2*o - 320*o - 622072 with respect to j. -1300146*j**2 + 246*j*o What is the second derivative of -111159938*q**2 + 20422*q + 237? -222319876 What is the second derivative of 4*f**3 + 11700644*f**2 - 122218571*f? 24*f + 23401288 Find the first derivative of -210*o**3 - 5483*o**2 + 13*o + 358903439. -630*o**2 - 10966*o + 13 What is the third derivative of -140*o**4 - 1096070*o**3 + 13650680*o**2? -3360*o - 6576420 Differentiate -125478*c**3
{ "pile_set_name": "DM Mathematics" }
the third smallest value? (a) 4 (b) -0.5 (c) 0.4 (d) 780 (e) 4/3 e Which is the third biggest value? (a) -0.2 (b) -67 (c) -5 b Which is the third smallest value? (a) -2/27 (b) 1/16 (c) 2 (d) -36 b Which is the second smallest value? (a) 0.4 (b) 0.1 (c) -0.128 b What is the third biggest value in 0, -4, 4.22? -4 What is the smallest value in 1.6, 2/5, 4? 2/5 Which is the smallest value? (a) 17 (b) 1 (c) 2/17 c Which is the second biggest value? (a) 4/5 (b) -4 (c) -2 (d) -0.8 d Which is the smallest value? (a) 2/7 (b) 3/4 (c) 1/13 (d) -0.4 d What is the smallest value in 4, 3, -0.3, 1/38? -0.3 What is the fourth biggest value in 5, -2.7, 0.1, -18? -18 What is the fourth smallest value in -0.247, -4, -2/9, 5? 5 Which is the smallest value? (a) -5 (b) 0.2 (c) 0.306 a What is the third smallest value in 5, 24, 2, 0.1? 5 What is the second smallest value in -0.03, 0.02, 0.5, -0.02? -0.02 What is the third smallest value in 0, -29, 2? 2 Which is the biggest value? (a) -4 (b) 33 (c) 0.6 b What is the smallest value in 4, -1, -241/7, 0.5? -241/7 Which is the biggest value? (a) -2 (b) -1 (c) 63 c Which is the biggest value? (a) 3 (b) 50 (c) -2/9 b What is the smallest value in -1/3, -13, -7? -13 What is the second smallest value in 2/3, -1, 1/5, 0.11, 0.5? 0.11 Which is the biggest value? (a) 1/5 (b) 1/8 (c) 6 (d) -3/5 c Which is the second smallest value? (a) 0.52 (b) 0 (c) -46 b What is the third smallest value in 0.1, -3, -92, 0.3? 0.1 Which is the second smallest value? (a) -5/2 (b) 0.5 (c) -23 (d) 0.4 a What is the third smallest value in 11/4, 33, -0.3, 5, -2/11? 11/4 Which is the fourth smallest value? (a) 1/3 (b) 1 (c) 10/3 (d) 3 c What is the third smallest value in 5, 3/8, -2/157, -7? 3/8 What is the biggest value in -1, 4, 1/6, -3/5? 4 What is the second biggest value in -49, 5, -6? -6 What is the third smallest value in 3, 1.4, -1? 3 What is the smallest value in -4, 2, 1/7? -4 What is the biggest value in 3/7, 3, 2, 1/2? 3 Which is the third biggest value? (a) -3 (b) -0.4 (c) -22 (d) -2 (e) 5 d Which is the smallest value? (a) 3 (b) 1/2 (c) -11 c What is the second biggest value in 5, -2/9, 688? 5 Which is the third biggest value? (a) -6/7 (b) -5/6 (c) -1 c Which is the smallest value? (a) -1.2 (b) -0.05 (c) -1/3 (d) -2 (e) -4 e What is the third smallest value in 0.062, 7, 10? 10 Which is the third smallest value? (a) 1 (b) -2/11 (c) 30 (d) 2 d What is the fourth biggest value in 0, -3, 1/27, -3/2? -3 What is the biggest value in -4, 1/2, -1/11, 1.6? 1.6 Which is the smallest value? (a) 78/7 (b) 1 (c) -0.1 c Which is the fourth biggest value? (a) 2/17 (b) -4 (c) -0.161 (d) 2 b Which is the second biggest value? (a) 3 (b) 50.5 (c) -2 a Which is the second biggest value? (a) 2 (b) -43/2 (c) 1/9 (d) -3 c Which is the third biggest value? (a) -4 (b) -5 (c) 0.1 (d) -0.4 a Which is the third biggest value? (a) -2 (b) 1/2 (c) -21/5 (d) 4 a What is the second smallest value in 3, 2, 5? 3 What is the biggest value in 0.3, -0.2, 3/5, -4, -0.12? 3/5 What is the second smallest value in 7, 3/11, -5? 3/11 What is the second biggest value in 1, -1.4, 5? 1 What is the smallest value in -7.26, -3, 4? -7.26 Which is the third smallest value? (a) 0 (b) 362 (c) 1/3 b What is the third biggest value in 0.3, 1, 6/7, -9, -1/7? 0.3 Which is the biggest value? (a) 0.4 (b) 4 (c) 615/13 c What is the third smallest value in -0.4, -4/3, 0.2, 0.01? 0.01 Which is the third smallest value? (a) 5 (b) 0.04 (c) -34 (d) -6/5 b Which is the third biggest value? (a) 0 (b) 21 (c) -5 c What is the second smallest value in -4, -2, 0.3, 6? -2 Which is the third biggest value? (a) -48 (b) 1/6 (c) 3 a Which is the second smallest value? (a) -1 (b) -5 (c) 10/7 (d) -0.3 a Which is the second smallest value? (a) 4/3 (b) 1 (c) 15 a What is the third smallest value in -0.3, -2/9, 3? 3 What is the third biggest value in 18, -6, 4, 4/13, 3? 3 What is the third biggest value in 1, -1, -1/82, -19? -1 What is the third biggest value in -3, -4/7, -1, 3, -88? -1 Which is the third smallest value? (a) 0.103 (b) -0.4 (c) -11 a Which is the second smallest value? (a) 2/5 (b) 3 (c) 5 (d) 0.26 a Which is the second biggest value? (a) -1/8 (b) 1 (c) -0.23 a What is the third biggest value in 0, -0.2, -58, 2/19? -0.2 Which is the second smallest value? (a) 8 (b) -4 (c) -2/15 c What is the second smallest value in 104, -1/2, -7? -1/2 Which is the fourth biggest value? (a) -0.5 (b) -0.17 (c) -153 (d) -4 c Which is the smallest value? (a) 2 (b) -2/15 (c) -5 (d) 3/5 c What is the biggest value in -1/259, -0.2, 3? 3 Which is the second biggest value? (a) 27 (b) -2/9 (c) 0.07 c What is the fourth smallest value in -4, 10, 3, -1.9? 10 Which is the second biggest value? (a) 8 (b) 0.4 (c) 21 a Which is the smallest value? (a) -0.2 (b) 6 (c) 2/61 (d) 0.1 a What is the smallest value in -233, 2/15, 2/5, -8/5? -233 What is the fourth smallest value in -1/2, 1, -5, 2? 2 Which is the third smallest value? (a) -2/5 (b) -1/2 (c) -1/3 (d) -1 a Which is the second biggest value? (a) 0.05 (b) -3 (c) -1.32 c What is the smallest value in -0.05, 2, 2/3? -0.05 What is the second smallest value in -1, 58, 0.2? 0.2 What is the third biggest value in 1/5, 1, 1/4, 3/5? 1/4 What is the second biggest value in -0.5, 2, -0.6, -3? -0.5 What is the biggest value in 3/1810, 3, -0.1? 3 What is the second biggest value in -3, -0.147, 5, -0.2, 1? 1 What is the third smallest value in 208, -5, -0.13? 208 Which is the smallest value? (a) -4 (b) -0.05 (c) -5 (d) 12 c What is the third biggest value in -0.3, -1034/21, -0.2? -1034/21 Which is the second smallest value? (a) 1/3 (b) -3 (c) -2/29 c Which is the third smallest value? (a) 4 (b) 1/2011 (c) 5 (d) -2/7 a What is the smallest value in 2/17, 1, -0.1, -2? -2 Which is the third smallest value? (a) 0.2 (b) 9 (c) -0.2 (d) 1/22 (e) -2/3 d Which is the second biggest value? (a) 0.3 (b) -2/7 (c) 0.4 (d) 1 c Which is the biggest value? (a) 1/5 (b) 11/3 (c) 2/13 (d) 0 b Which is the biggest value? (a) -0.2 (b) -2/7 (c) 5 (d) -1 c Which is the second smallest value? (a) -2 (b) 31 (c) -1 c Which is the fourth smallest value? (a) -0.04 (b) 2/11 (c) -3 (d) -2/53 (e) 0.08 e What is the fourth biggest value in 1/6, 5, -0.102, 0.4? -0.102 What is the fourth smallest value in -2/3, 0.5, -3, -0.8? 0.5 What is the smallest value in 0.06, -11/6, -2, 0.2, 0.4? -2 Which is the smallest value? (a) 5 (b) -6 (c) 0.2 (d) -2/13 b What is the biggest value in -3/7, -130, -3? -3/7 What is the third biggest value in -1, -5, -1/4, -4? -4 Which is the second biggest value? (a) -115.65 (b) 3 (c) 1/5 c Which is the biggest value? (a) 0.5 (b) -0.01 (c) -1/5 a Which is the third biggest value? (a) -2/5 (b) 8 (c) 4 a What is the biggest value in 3/2, 0.5, -10, 2? 2 Which is the fourth biggest value? (a) -0.1 (b) 0.3 (c) 0.12 (d) -49 d What is the third biggest value in -2/9, -0.5, -2, 3/5? -0.5 What is the biggest value in 0.05, -13, -4, 0.2? 0.2 What is the third smallest value in 0, 1/3, 2/85? 1/3 Which is the third biggest value? (a) 5 (b) 2/275 (c) -2/25 c Which is the third biggest value? (a) -0.09 (b) -22 (c) -6 b Which is the second biggest value? (a) 0 (b) 1 (c) -4 (d) -7 (e) 0.05 e Which is the second smallest value? (a) -1 (b) -0.609 (c) -10/9 a Which is the fourth smallest value? (a) -4 (b) -7 (c) 137 (d) 0.5 c Which is the third biggest value? (a) 2/3 (b) 0 (c) -4 (d) -31 c Which is the smallest value? (a) -0.5 (b) 0.5 (c) 3 (d) -1/8 (e) -2/3 e What is the third biggest value in -1, 5, 2/63, -0.03? -0.03 Which is the third biggest value? (a) -4 (b) 24 (c) -5 c What is the third smallest value in 2/87, -0.6, 2/17? 2/17 Which is the smallest value? (a) -47 (b) 2/3 (c) -0.1 a Which is the second smallest value? (a) -1/6 (b) -38 (c) -4 (d) 0.4 (e) 5 c What is the third smallest value in 139, 2, -4? 139 Which is the third smallest value? (a) -0.4 (b) -37/5 (c) -3/4 (d) -0.5 (e) 23 d What is the smallest value in 2/3, -2/13, 2/13, 5/4, -207? -207 What is the s
{ "pile_set_name": "DM Mathematics" }
, l, 3 in ascending order. -2, 1, 3, l Let c(k) = -k**2 - 3*k + 3. Let p = 4 + -7. Let h be c(p). Let l be (-3 - -1 - -1)*5. Sort 5, l, h in decreasing order. 5, h, l Let d = -4.996 - 0.004. Sort 0.3, d, -1. d, -1, 0.3 Suppose 3*v - 6 = 0, 5*o + 15 = -4*v - v. Sort o, -7, 2/7 in descending order. 2/7, o, -7 Let p = -13 + 2. Let h = -6 - p. Sort 1, -2/3, h. -2/3, 1, h Let c = 0.3 + 4.7. Let i = c - 0. Let o = -2 + 0. Sort o, i, -1/5 in ascending order. o, -1/5, i Let d = -8 + 12. Let j = d + -5. Sort j, 0.5, 5 in decreasing order. 5, 0.5, j Suppose 0 = -2*c - 0*c + 2. Let k(m) = -2*m**2 + 29*m - 62. Let d be k(12). Let n = 0.07 - -2.93. Sort n, d, c in descending order. n, c, d Let y(v) = 13*v + 12. Let m be y(-9). Let n be (-4)/(-14) + 100/m. Put n, 1/8, -1/6 in descending order. 1/8, -1/6, n Let q(y) = -y + 1. Let k be q(-3). Suppose -3*v = d + 5, 0 = k*v - 0*d - 2*d. Let h(c) = 5*c. Let l be h(v). Sort 1, l, 5 in decreasing order. 5, 1, l Let v = 2 - 2. Let d = v + 2. Sort d, -2/5, 4. -2/5, d, 4 Let s = 0.09 - -0.21. Let v be (-3 - 1)/1 + 2. Sort s, v, -3/2 in descending order. s, -3/2, v Let o be (1/5)/((-2)/(-4)). Let i = 21.7 + -22. Sort o, i, -2 in decreasing order. o, i, -2 Suppose -3*l + 19 = 2*q - 4, 3*l - 5*q - 58 = 0. Suppose -4*d + 21 = -l*d. Put d, -2, 3 in decreasing order. 3, -2, d Let x = -108 + 108.47. Let r = 0.07 - x. Put r, 2/9, -0.3 in ascending order. r, -0.3, 2/9 Let y(h) = 1 + 0*h**2 - 4*h**2 + 6*h**2. Let w be y(-1). Suppose -4*t - 2*c = 20, 5*t = -2*c + w - 26. Sort 2, t, 4. t, 2, 4 Let d be (-2*1/(-6))/((-33)/99). Let l = 0.24 - 0.13. Let i = -5.11 + l. Sort -0.1, i, d in decreasing order. -0.1, d, i Let g(c) = c - 1. Let r be g(5). Let a = -8 + r. Let q be a/10 - 7/(-5). Put q, -3, 3 in increasing order. -3, q, 3 Suppose -a = -j - 1, 5 = 4*j - 3. Suppose 0*b - 3 = a*b. Suppose 0 = 4*r - 4, 19 = 5*q + 4*r - 10. Sort b, -3, q in ascending order. -3, b, q Let z(t) = -t**2 + 21*t - 38. Let h be z(19). Put 3, h, 9, 4 in ascending order. h, 3, 4, 9 Let o = 41 + -40. Put 4, o, -2, 0.1 in decreasing order. 4, o, 0.1, -2 Let c be ((-2)/22)/(6/12). Let u = 0.1 - 0.1. Let i = 3 + -2. Sort u, c, i. c, u, i Let o be 2/1 + 3/3. Let k = -209/5 - -2289/55. Put o, 0.4, k in descending order. o, 0.4, k Let v = -42 - -44. Suppose 0 = -4*n + 2*q + 6, -3*q + 7 = 3*n - 7*q. Put v, -1, n in ascending order. -1, n, v Let d = -1 + 1. Suppose -3*o - 9 - 3 = d. Let g be 10*(-3)/(-24)*o. Put -3, 1, g in ascending order. g, -3, 1 Let y = -21.82 + 22. Let a = y + -0.06. Let w = a + -0.02. Sort w, -1, -4. -4, -1, w Let k = -1 + -3. Let g be (((-96)/(-27))/k)/(-2). Let l be (4/3)/((-6)/18). Sort l, -3, g in ascending order. l, -3, g Suppose -16 = 3*y + y. Let j be (-2)/(-6)*(-217 - 1). Let o = j - -72. Put y, o, -1/6 in descending order. -1/6, o, y Let i = -0.2 - -0.4. Let t = 0.021 + -0.521. Sort t, -0.1, i in descending order. i, -0.1, t Let k = 12 - 17. Let l = 0.317 - -0.083. Put l, -1, k in decreasing order. l, -1, k Let b(i) be the first derivative of i**2/2 - 1. Let h be b(3). Sort 4, -3, h in decreasing order. 4, h, -3 Let h = 22 - 17. Sort -4, -3, h in descending order. h, -3, -4 Suppose 0 = g - 3*h + 2, 0 = 3*g + 2*h - 5. Sort g, -4, 0.1 in descending order. g, 0.1, -4 Let g = 4 - 0. Let a = -1 - g. Sort -4, -3, a in ascending order. a, -4, -3 Let b = 66 - 65. Put -29, b, 3 in increasing order. -29, b, 3 Let i be (-4)/4 + 1 + (-1 - -1). Sort -5/4, 1/15, -4, i in increasing order. -4, -5/4, i, 1/15 Let o = 89.8 - 90. Put 4, o, 0, -2 in descending order. 4, 0, o, -2 Suppose -5*z + 3*c = 4, -c = z - 7 + 3. Let b(k) = k**2 + 4*k - 4. Let p be b(-6). Let y be (-8)/2*4/p. Put 2, y, z in descending order. 2, z, y Let k = -103 - -109.7. Let b = k + -3.1. Let y = b + -4. Sort y, -0.3, 2 in ascending order. y, -0.3, 2 Let o(t) = -2*t + 9. Let p be o(6). Suppose -5 = -2*r - 17. Sort 1, r, p in descending order. 1, p, r Let f = -115 + 114.8. Let h = -2.25 - -1.8. Let b = 0.05 + h. Sort -3/2, b, f in increasing order. -3/2, b, f Let x = 0.4 - 0.5. Let r = 0.03 - -4.97. Sort r, 4, x in decreasing order. r, 4, x Let w(m) = -m - 1. Let o be w(5). Let p = -64 - -67. Put p, o, 2 in descending order. p, 2, o Let z be (-4)/3*(-60)/8. Let f = z - 14. Sort f, 4, 1 in ascending order. f, 1, 4 Let y be (-84)/(-6) - (-6)/(-2). Sort 1, y, -5. -5, 1, y Let m = 7/4 + -57/28. Sort 1/3, -4, m in descending order. 1/3, m, -4 Suppose -5*z + z = 0. Suppose 2*v = 2*a - v - 9, -2*a = v - 5. Suppose 5*m = 3*s + 8, 2*m - a = s - z*m. Sort s, -4, -3 in increasing order. -4, -3, s Let d = -15 + 9. Let h be 51/d*(-22)/(-7). Let k = h + 27. Sort -0.4, k, -3 in ascending order. -3, -0.4, k Let h = 26 - 21. Put -4, h, 8 in decreasing order. 8, h, -4 Let f(v) = v**3 - 8*v**2 + 8*v - 4. Let r be f(7). Let o = 4 + -3. Let q be (-6)/(-15) + 4/(-10). Put r, o, q in decreasing order. r, o, q Let s(o) = -o - 13. Let u be s(-13). Sort 14, u, -2 in increasing order. -2, u, 14 Suppose 4*i + 4*l + 11 = i, 0 = 2*i - 2*l - 2. Let o = -2 - 0. Put o, 0, i in ascending order. o, i, 0 Let q(u) = u**2 + 5*u - 2. Let w be q(-6). Let v(y) = y**2 - 4*y + 2. Let i be v(w). Let h be 4/(-3)*(-15)/(-10). Sort 1, h, i in ascending order. h, 1, i Suppose -17*s = -15*s - 4. Sort -4, s, 22 in ascending order. -4, s, 22 Let g = -5 - -5. Let h = -0.45 + 0.05. Let y = g + h. Put 0.2, y, -0.3 in increasing order. y, -0.3, 0.2 Let c = 41 - 38. Sort 5, -3, 1, c in ascending order. -3, 1, c, 5 Let b = 0.1 + 3.9. Let q be (-4)/3*-3 - 3. Sort q, b, 0 in decreasing order. b, q, 0 Let l(a) = a**2 + 1. Let v be l(1). Let q = 95 - 91. Put v, -5, q in decreasing order. q, v, -5 Let z be -3*(1 - 5/3). Put 0, -5, z in decreasing order. z, 0, -5 Let k = -61 - -74.9. Let s = 14 - k. Let d = -12 + 17. Sort d, -2/5, s in descending order. d, s, -2/5 Let a be (-1 - 2/(-3))*3. Sort a, -5, 1. -5, a, 1 Suppose 0 = 3*r + 2 + 1. Let z = 3 - r. Sort z, 0, 3 in ascending order. 0, 3, z Let t = 1.56 - 1.16. Sort -5, t, 2 in decreasing order. 2, t, -5 Let p = -3 - -5. Let j = p - -2. Let s = -111/8 + 57/4. Sort s, j, 0.3 in decreasing order. j, s, 0.3 Suppose 4*m + 3*k = -8, 2*k + 1 = -4*m - 11. Sort 0.5, -4, m in descending order. 0.5, -4, m Let i = 9 - 4. Let s = i - 4. Put s, -1, 5/2 in increasing order. -1, s, 5/2 Suppose -5*r = 5, 4*r = 4*u - 0*r - 12. Suppose -7 = u*b + 3. Sort b, 4, 2 in descending order. 4, 2, b Suppose -4*w - 3*u - 2 = -1, 0 = 2*w + 4*u - 2. Suppose 5*g = 2*p + 14 + 3, -2*g = 3*p - 3. Put w, g, 1 in increasing order. w, 1, g Let t = 43/55 - 3/5. Sort 7, -5, t in ascending order. -5, t, 7 Let y = 9 - 5. Let j(s) = s**2 - 2*s - 3. Let r be j(-2). Let i(n) = n**3 - 4*n**2 - 5*n + 1. Let l be i(r). Sort y, l, -2 in descending order. y, l, -2 Let b(r) = -r**2 + r + 1. Let c be b(-1). Let v = -36 + 110/3. Sort 2/5, c, v in increasing order. c, 2/5, v Suppose 3*b = 5*b - 4. Sort -5, 1, b in descending order. b, 1, -5 Let x = -58.7 - -49. Let q = -9 - x. Let a = -1.1 + q. Put 2, 2/7, a in descending order. 2, 2/7, a Let x be 9/(-12)*((-84)/27)/7. Sort 0.18, 0, x. 0, 0.18, x Let m(i) = -i - 5. Let v be m(-4). Suppose y + 5*a = 16 - 39, 5*a + 33 = 4*y. Sort y, v, 5. v, y, 5 Let m = -2.8 - -2. Let x = 0.5 + m. Put 0.1, x, 4/7 in ascending order. x, 0.1, 4/7 Let a(k) = -k + 1. Let p be a(1). Let x be 0 - (2 - 1 - p). Let o be 1 + -1 + x - 2. Sort o, -5, 5 in decreasing order. 5, o, -5 Let q = -4 - -2. Put 3, -5, q in decreasing order. 3, q, -5 Let c be (0 - -1)/(2/(-4)). Let s be 4/(-8)*0/c. Let x be (s*2/2)/(-1). Put -2, x, -1 in ascending order. -2, -1, x Let d(m) = -m**2 - 3*m + 3. Let v be d(-3). Let c = -6 - -8. Let y = c + -2. Sort -5, y, v in increasing order. -5, y, v Let i = 1 - -2. Let j be (-1)/i - 8/12. Let z be (-2)/4*(1 + j). Put z, -1, 2 in increasing order. -1, z, 2 Suppose 3*c = 2*y - c + 28, 4*y + 2*c = -6. Sort y, -6, 1/4 in ascending order. -6, y, 1/4 Let c be 2/(-4)*(-44)/55. Sort 0.5, -2, c, -1/4 in descending order. 0.5, c, -1/4, -2 Let a be 6*3/(-6)*-2. Put -4, a, 0 in decreasing order. a, 0, -4 Let z be (-1 - 1)/((-44)/198). Put z, -1, -4 in descending order. z, -1, -4 Suppose 2*d = 3*d. Let x(j) = j**2 + 7*j + 2. Let m be x(-6). Let h be m*1 + -1 + 2. Put h, -1, d in descending order. d, -1, h
{ "pile_set_name": "DM Mathematics" }
ue of (21/14*80/(-15))/(14/1)? -4/7 ((-36)/108)/(1/(-3))*1/(-5) -1/5 What is (5421/834)/(-1*(-3)/6*1)? 13 Calculate 1*11*29/((-37323)/(-18)). 2/13 Evaluate 10/4*4/(-60)*(-6)/2. 1/2 What is the value of (2/3)/((-486)/(-2916)*56/(-6))? -3/7 Evaluate 2/5*(-42)/1764*15. -1/7 What is the value of -2*(-3)/(-6)*76/(-722)? 2/19 Evaluate (29183/45101)/((-3)/(-17)). 11/3 What is the value of (360/30)/((-1)/(-3)*-3)? -12 Calculate 60/(-550)*-11*25/8. 15/4 What is the value of (10080/520)/21*117/6? 18 What is the value of (-16*161/(-2208))/(1/(-6))? -7 What is the value of -55*55/(-6050)*162/(-3)? -27 Evaluate (1725/1380)/(1/8). 10 What is (-6)/(-609)*(-1148)/(-164)? 2/29 Calculate -1*5/(-2)*(-24)/4. -15 26/(-7)*16534/4724 -13 Calculate ((-11)/(-4))/(34749/972). 1/13 What is the value of (-972)/405*1*(-35)/(-3)? -28 Evaluate (-184)/207*135/(-30). 4 -14*4/(32/(-4)) 7 What is the value of (-3)/2*13/(-234)*28*-3? -7 What is ((-46)/(-7245)*-36)/(2/(-14))? 8/5 Evaluate ((-570)/(-60)*(-78)/(-57))/(-1). -13 Evaluate ((-2322)/1548)/(2*(-6)/(-136)). -17 What is the value of -25*2/(-25)*10? 20 Evaluate (2/6)/(55/((-7425)/(-120))). 3/8 Calculate ((77/(-14))/11)/((-124)/(-186)). -3/4 Calculate ((-976)/(-1464))/(1/(-6)). -4 Calculate ((-90)/(-210))/(27/(-42)). -2/3 Calculate (20/6)/(44/33). 5/2 Evaluate (210/14)/5*4/(-54). -2/9 What is 8/46*((-196)/(-1176))/((-8)/6)? -1/46 What is 3*((-2)/3)/(-2)*61/61? 1 What is the value of ((-222)/6475*20/6)/(14/(-140))? 8/7 ((-72)/(-114))/(173/6574) 24 Evaluate ((-40)/120)/((-3)/117). 13 What is the value of ((-90)/(-32))/((-27)/(-36))*(-4)/(-1)? 15 What is the value of ((-8)/20)/(96/(-30))*12? 3/2 Evaluate ((-13)/26*2)/((-6)/(-150)). -25 2/(-150)*-12*((-42)/(-6))/(-28) -1/25 What is ((9/21)/((-210)/200))/((-90)/(-315))? -10/7 Calculate 36/(-24)*3*(-2)/(-3). -3 What is the value of ((-15)/126)/(14/756*-9)? 5/7 What is the value of 3*(-10)/(((-12)/14)/(100/140))? 25 What is (-6620)/662*(-6)/20? 3 What is (-25)/(-75)*9/3? 1 Evaluate (6/(-2))/(11*2/(-66)). 9 What is the value of ((-120)/72)/((-180)/1404)? 13 Evaluate 9/(-3)*(-4)/(-3)*(-290)/(-232). -5 76/((-380)/10)*8 -16 What is the value of 960/100*(-15)/(-12)? 12 What is (((-72)/(-162))/((-10)/(-45)))/41? 2/41 Calculate 17/1666*14*5. 5/7 (1/(-68)*17)/((-2)/(-2)) -1/4 Evaluate (-7)/(-13*(-4)/(-52)). 7 Calculate ((-33)/(-88)*-10)/((-1)/4). 15 What is the value of (58*(-8)/32)/((-14)/(-28))? -29 What is the value of ((1071/17)/(-9))/1? -7 Calculate 2/8*((-2530)/(-385))/23. 1/14 Calculate (18/15)/((-112)/280). -3 What is ((-72)/54)/(128/576)? -6 Evaluate ((160/(-15))/(-32))/((-5)/(-15)). 1 What is the value of 16/3*108/288? 2 What is (-900)/54*(-90)/(-1050)? -10/7 Evaluate 1/((-21)/((-105)/(-16)))*6/(-45). 1/24 What is ((-68)/306*57)/((-2)/(-3))? -19 Evaluate (-60)/(-6)*12/(-5). -24 Calculate 2/11*1*(-42)/(532/38). -6/11 Evaluate (4*(75/(-18))/1)/((-8)/12). 25 Calculate (-2*(-56)/40)/(5*(-5)/125). -14 What is (-6)/(-4)*(-244)/(-488)? 3/4 What is (((-300)/7)/15)/((-8)/56)? 20 Calculate (6/36)/((-24)/36). -1/4 Calculate ((-32)/(-160))/((-26)/20)*(-2)/2. 2/13 What is ((8/(-528))/(2/(-8)))/(2/6)? 2/11 What is the value of (5/(-3))/((-2115)/7614)? 6 (12/(-5))/2*(-31)/((-2046)/(-220)) 4 Calculate ((-3)/9)/((-14)/(-28)*4/(-12)). 2 ((-3)/(-45)*-2)/(42/(-35)) 1/9 What is (-3)/(12*(-15)/(-12)*(-3)/(-435))? -29 What is (12/(-92)*2)/(-3)? 2/23 Calculate 1*(60/60)/(2/34). 17 Evaluate ((-2)/((-8)/33))/((-2213)/(-8852)). 33 What is the value of (-9*6*(-15)/(-405))/(1/9)? -18 Evaluate (((-15)/45)/((-10)/(-9)))/((-24)/8). 1/10 Evaluate (-7)/10*((-38544)/511)/(-66). -4/5 What is the value of 1*3/21*-91? -13 Evaluate ((48/32)/((-1)/2))/((-51)/(-119)). -7 What is the value of -5*(-10)/(-4)*(-86)/(-215)? -5 Evaluate 1432/1074*(-6)/8*0/(-1). 0 Evaluate (58/(-2))/522*4. -2/9 What is the value of ((-39)/325*-5)/((-11)/(-165))? 9 Evaluate (-35)/(210/18)*(-4)/(-18). -2/3 What is the value of (-816)/(-1020)*140/8? 14 What is (-7)/(-35)*-22*(-44)/242? 4/5 Evaluate ((-280)/28)/(-20)*2/(-2). -1/2 Evaluate (18/20)/(((-1827)/(-580))/21). 6 What is the value of ((-1)/(-18)*-1)/((-16)/128)? 4/9 ((-25)/(-20))/(((-1)/8)/(-1)) 10 Evaluate (54/513)/(20/285*3). 1/2 (-75)/6*432/360 -15 (-8)/(-192)*-4*-66 11 Calculate (((-15)/25)/(7/35))/(585/(-30)). 2/13 ((-5)/30*3)/(3*(-19)/1254) 11 What is (-1*-8*10/60)/(2/9)? 6 What is the value of (3/3)/(-4*(-45)/8)*-10? -4/9 Evaluate 7/(-3)*948/58618. -2/53 Evaluate (24/(-11))/(((-1050)/(-50))/(-231)). 24 150/100*14/798 1/38 -20*1/(19/1026*30) -36 ((-7)/140*-5)/(-1*44/64) -4/11 What is the value of (441/(-15))/(-21)*(-5)/(-70)? 1/10 Evaluate (-37)/(888/(-18))*8/(-12)*11. -11/2 What is ((-56)/14)/(-1)*5/170*-3? -6/17 Evaluate (-3*(-40)/(-60))/(4/(-18)). 9 (26/(-286))/((-2)/(-11))*-66 33 Evaluate (-14508)/(-1674)*3/(-2). -13 47/(-47)*10/25*35 -14 What is (-12*3/20)/3? -3/5 What is the value of (45/(-5))/((-22275)/198)? 2/25 (-2)/(-1*1*280/(-35))*1 -1/4 What is (86/(-215))/((-16)/(-10))? -1/4 What is the value of ((-26)/(5980/23))/((-1)/4)? 2/5 Evaluate (1/(-2)*64)/(3/(-9)*3). 32 Calculate ((-13)/((-195)/90))/36. 1/6 ((-20)/6)/((-1265)/(-1518)) -4 What is ((-225)/(-30)*40/(-1290))/(-5)? 2/43 ((-1904)/680)/(3/15) -14 What is (9/24)/((-3)/10)*120/(-225)? 2/3 Evaluate (-33)/(-44)*(-3080)/165. -14 Calculate (-5)/((-20)/(-2))*(-1)/((-14)/8). -2/7 Calculate (66/11)/(21*9*4/54). 3/7 What is the value of (-45)/(-12)*(462/(-55))/(-14)? 9/4 What is 195/(-3)*(-4)/((-170)/((-170)/10))? 26 What is (36/150)/((-49)/(-245))? 6/5 What is the value of ((-225)/(-105))/(7/((-77)/11))? -15/7 What is the value of (470/564)/(10/(-56))? -14/3 Evaluate (590/(-354))/((-10)/12). 2 What is (-4)/(8/3)*68/51? -2 Calculate ((-9)/((-27)/2))/(-12). -1/18 What is -2*(-15)/120*2? 1/2 What is (14/(-84))/(((-2)/15)/((-28)/20))? -7/4 Calculate (4/180)/(((-4)/9)/((-16)/(-6))). -2/15 What is ((-27)/(-27))/(95/10)? 2/19 Calculate 7*-7*35/1225. -7/5 Calculate (((-54)/(-42))/9)/(12/3)*1. 1/28 Calculate 2652/507*2/(32/104). 34 Evaluate ((-10)/(-12))/((-3075)/(-180)). 2/41 Evaluate 1*-2*(-129)/3870. 1/15 Evaluate (-62)/(5208/315)*(-4)/(-1). -15 (18/(-666))/((-14)/28) 2/37 Evaluate (720/(-126))/(-8)*7. 5 Calculate (-4)/180*15*(-4)/(-6)*-1. 2/9 Calculate ((-30)/(-400)*8)/(2/10). 3 Evaluate (-110)/10*(-15)/11. 15 Evaluate (6/(-16))/(24/(240/25)). -3/20 Evaluate 0*(-1)/(-2)*((-48)/(-8))/(-6). 0 What is 6/4*(56/5)/((-330)/(-275))? 14 What is (30/((-90)/(-18)))/(-1)? -6 What is the value of (444/(-296))/((-325)/(-2)*(-30)/(-100))? -2/65 What is the value of ((-6)/2)/(((-855)/361)/15)? 19 Evaluate -2*(3/8)/(((-21483)/(-124))/(-21)). 1/11 What is -4*(-6)/4*(-107)/5457? -2/17 Calculate ((1/35)/((-42)/(-147)))/((-15)/(-6)). 1/25 (30*(-2)/9*3)/((-8)/4) 10 What is the value of (13/130)/(3/(-3))? -1/10 What is ((-4)/(4/(-1)))/((-42)/546)? -13 Calculate (-4)/(((-30)/405)/((20/(-4))/(-30))). 9 Evaluate (442/(-119)*-7)/(-2). -13 What is 14/20*15/42*-18? -9/2 Calculate 221*(-3)/(-117)*3. 17 3/(42/700*2)*-1 -25 Calculate (2/16)/(107/856). 1 What is (-147)/24*(-258)/903? 7/4 (-10)/(-5)*10/20*4 4 What is ((-42)/(-211365)*-30)/(2/(-11))? 2/61 Calculate (63/(-12))/(152/(-608)). 21 What is the value of (34/7)/((-334)/(-1169))? 17 What is 11/1*(-168)/308? -6 Calculate (-80)/(-700)*(-55)/(-2)*35/10. 11 Evaluate (76/(6384/(-2142)))/(3/(-2)). 17 Calculate (-40)/(-2)*-1*21/(-42). 10 (12/(-330))/((-64)/80) 1/22 Evaluate ((-123)/492)/(44/40)*4/15. -2/33 Evaluate -8*25/(-400)*0/3. 0 What is the value of ((-11)/726)/((-1)/3*99/(-66))? -1/33 What is ((-312)/364)/((-120)/84)? 3/5 Calculate ((2776/2429)/(6/7))/((-4)/42). -14 What is ((-4086)/(-6810))/((-17)/5)? -3/17 What is the value of 3/(2/(-66)*27)? -11/3 What is 5/8*16/40*(-4)/6? -1/6 Evaluate (64/(-12))/4*27/(-45). 4/5 (-11)/(((-4)/32)/((-14)/56)) -22 (-10)/(((-18)/(1782/(-33)))/((-1)/3)) 10 Calculate ((-47)/(-235))/(22/(-20)). -2/11 Calculate (-15)/(-3)*8/24*-3. -5 Evaluate -18*(-19)/4*(-52)/(-117). 38 Calculate (-40)/336*36/(-45). 2/21 Calculate (-23)/((-92)/(-40))*(-2)/(-40)*-2. 1 ((-14)/28*40/12*-3)/1 5 What is the value of (4/6*-1)/((-9)/54)? 4 Calculate ((-2)/7*(-4)/(-4))/((-2)/2). 2/7 What is 31*6/(-6)*14/((-280)/20)? 31 Evaluate (-2)/(-6)*-9*(-21)/(-315). -1/5 Evaluate -1*-8*-165*7/(-280). 33 What
{ "pile_set_name": "DM Mathematics" }
Calculate (-2)/(-50)*(-171)/(215 + 640). -1/125 ((-28)/630*18)/((-488)/(-11020)) - -18 -4/61 What is -1 - (20/900*423 - ((-112)/20 - -5))? -11 What is the value of (18/45*5)/(1980/246 - 8)? 41 What is ((-4)/(-114)*19)/(21 - 30232/1440)? 120 13 + 9214/(-690) - 22/(-253) -4/15 What is the value of ((-8)/102)/4*-6 - 2247750/18870? -119 Evaluate 7203/(-294) + 434/16. 21/8 Evaluate 6834/986 + -7 + (-1172)/(-174). 20/3 What is 29452/(-740)*35/14 + 13/(-2)? -106 What is the value of ((-15)/(-4)*(-2436)/12789)/((0 - 3)/357)? 85 What is (-6)/13*(236 - 247760/978)? 8 Evaluate 49 + 32064/(-456) + 21. -6/19 What is the value of (-48)/(-1320) + (186858/495)/14? 27 What is ((-42999312)/5561)/86 + 90? 6/67 What is 914*((-2)/(-20))/1 + (2612016/(-3740) - -700)? 93 (-225 - -245)*(-2)/(-1960) 1/49 What is (75/(-85))/(1311/44574)? -30 What is (-904)/87010*((-440)/48)/11? 2/231 What is 15*(840/45)/(-28)? -10 Calculate (((-510)/(-408))/((-10)/(-16)) - 1)*11. 11 Evaluate (47 - (-744)/(-16))*((-6)/3 - 44). -23 (-120)/90*255/8*(-24)/20 51 (-8)/(41720/19668 - (1 - -1)) -66 What is (-1340)/88440 - (47117/462 + -6)? -96 (8229/(-1055))/(6*9/30) -13/3 What is (2 - 13/26)*-169*(-532)/1482? 91 ((-2)/7)/(108/(-84)) - (-976)/(-549) -14/9 36/(-10) + 89/89 + 3 2/5 Calculate 13/((-481)/(-22644)*17)*(-34)/(-18). 68 What is 113078/(-788)*(-80)/(-164)? -70 (92/(-16)*-1 - 5) + 20566/(-15368) -10/17 What is 230/3*(-2847)/4745? -46 What is (-378)/(-273) - (4032/39 - 35)? -67 (34/((-54672)/(-871)))/(26/6) 1/8 Calculate (54 + -43 - (-250)/(-30)*3)*(-6)/98. 6/7 Calculate ((-131)/(18340/(-84)))/((-3 - 0)/(-315)). 63 ((-80)/(-16) + 30/(-12))/((-90)/2484) -69 45/3*(17 + (-390)/24) 45/4 Calculate (190/59185)/(5 + (-144)/28). -2/89 What is -90 - (-16947)/189 - 2/(-10)? -2/15 (-38 - (-27 - 12))*-27 -27 ((-11)/(13 - 2))/((222/(-300))/(-37)) -50 What is 3480172/(-29036) + 72/(-14)? -125 Calculate (-4921)/61047 - 26/(-221). 1/27 Evaluate -16 - ((-2)/((-10)/1) + 1636/2045). -17 What is the value of (31224/252 + -124)/((-1)/(-21))? -2 16 - 4 - 4/(288/861) 1/24 Calculate 22/(4488/357) + ((-705)/(-76))/(-5). -2/19 136/680 - (2/12 - (-7657)/(-4290)) 20/11 Calculate ((-1596105)/126)/(-563) - 1*31. -17/2 (-5 - 1) + (135/234)/((-17)/(-136)) -18/13 What is the value of ((-112)/42)/((-416)/(-5772))? -37 Calculate (-23)/198*-10 - 395064/444447. 3/11 -17*(40 + -39) - 4720/(-272) 6/17 Calculate (0 + -2 - (-110736)/56906) + 308/222. 4/3 What is (-441)/315*(48/72)/(1/(-15))? 14 Evaluate (-1677)/186 + 2 - (-44877)/6411. -1/62 Evaluate 156/21 + 1 + -15*(-234)/(-1755). 45/7 What is the value of (668 - 706) + (-10)/(-2)? -33 What is -40 - (35433/(-13716))/(139/2152)? -2/417 (-244)/(-66) - ((-854266)/(-200491) - 2/(-69)*-9) -10/33 What is (-52)/(920400/(-60534)) + (-4)/(-50)? 7/2 Evaluate ((-31603)/(-374) - 80)/(1 - (-38)/(-32)). -24 What is the value of ((5 - (-112)/(-48))*(-2 - 4) - -7) + 78? 69 What is the value of (45 + 5042/(-112))*2? -1/28 3*(4 - 5)*(-1306)/(-25467) -2/13 (964/140 - 7)/(74/3145) -34/7 Calculate (15/(-6)*4/(-20))/(10/220). 11 Evaluate (5/(-5) + (-39)/(-21))*14 - -2. 14 What is 25/55*(-12903)/(-19550)? 3/10 Calculate (-20)/6*-3 + 3132/29 + -105. 13 What is the value of (-64)/2656 - (-24012)/(-2407)? -10 44/231*(-133)/38 - 124/(-6) 20 Evaluate (-2)/5 - (3/(-5))/(150/15600). 62 What is 482/(-22) - (-182 - (123 + -284))? -10/11 Evaluate (-26)/(728/(-294))*(-27 - -29). 21 What is ((-642)/1070 + 1 + -1)*10/3? -2 (-116 + (-87770)/(-917))/((-20)/(-14)) -71/5 What is (-213)/((-18318)/4988) - 30/(-3)? 68 What is 57448/(-2408) - (-1)/(-7)? -24 -8 + 47 - (-28956)/(-760) 9/10 (-2 - 272/(-156))*(28/(-16) + 41/(-820)) 6/13 What is the value of 18/2 - (2/(-6))/((-82)/769242*-53)? 68 Calculate -2*((-1157)/10324 - (-2)/29)/(1/(-2)). -5/29 Evaluate 3/(2 + 13) - (-420)/(-1600). -1/16 4/(-154) - 11606416/(-322168) 36 (147316/(-2496) - -59) + (-15258)/288 -53 1881/27 + ((-1064)/(-42) - 25) + (-13 - -2) 59 Evaluate (-1917)/(-17892) + (-22650)/(-280). 81 What is 3 - 39/11 - 76/95*35/(-11)? 2 Evaluate (-16)/(-14)*267561/(-4932). -62 Calculate 171/2*((-1280)/(-24) + (-9612)/178). -57 Evaluate 59 - (-159)/(477/(-300)). -41 What is (-2)/(-2*9) + 58776/(-145044)? -5/17 Evaluate (((-3477)/2622)/61)/1. -1/46 What is the value of (-38 - (6 - 1542/21)) + -29? 3/7 What is 390313/8288 + -82 + 35? 3/32 Calculate (54/243)/((2 - 12) + 474*(-15)/(-405)). 1/34 (9/((-28)/2 + (-16946)/(-916)))/(8/236) 59 What is the value of (6776/198)/77 + (9 - 29953/3168)? -1/96 Calculate (-500)/(-25) - (-1768)/(-34). -32 (-7)/(-56) + (-94874)/(-8112) + 12/(-78) 35/3 Calculate (-30)/4*(64506/(-1404) - -46). -5/12 Evaluate 8/36*-3*-6*(13 + (-286)/88). 39 ((-456)/(-216))/((4/18)/(-2)) -19 What is -69 + (36 - 78 - -44)? -67 Evaluate 1128/6*(26 + (-5966)/228). -94/3 What is the value of (-15680)/(-791840) + (-2527)/101? -25 Calculate 1*(-18)/66*1092861/(-3591). 83 55 + -525*53/530 5/2 What is the value of 512/96*(2206/200 - 11)? 4/25 Evaluate ((-42294)/546 - -80)*26. 66 Calculate (((-20)/(-5))/((-4)/(-10)))/(-581 - -559). -5/11 Calculate 32/112 - (1/2 + (4 - (-2115)/126)). -21 Calculate (-3 - ((-1 - -7) + (-27)/(-6)))/((-11)/22). 27 What is 15008/1474 + (-168)/(-44)? 14 (-5)/7 - 7743/(-9135) - (-8 + 679/105) 5/3 What is (-3300)/(-4576)*13 - 9? 3/8 8 - 2948/(-726) - 3/((-495)/(-10)) 12 What is (36/48)/(264/31328)*-1? -89 What is (58/7)/(3190/154 - 21) + 11? -18 Evaluate 5013/81 + (-54)/(-42) + 14111/(-6489). 61 What is 36/(16 - 10)*18/(-108)*-94? 94 ((-4550)/(-200)*(-96)/(-196))/((-1)/(-7)) 78 What is the value of ((-21)/(-60 - -18))/(754/(-5568))? -48/13 What is the value of (-6)/(-27)*630/(-14)*99/(-55)? 18 What is ((-16)/(-1150))/((-2556)/(-29394))? 4/25 What is the value of (((-22020)/(-840) - -10) + 16/7)*(-2 - 0)? -77 Calculate ((-418)/(-4))/(13490/(-5680)). -44 What is ((-2)/(-11))/((-7560)/1848)? -2/45 Calculate ((-3)/(11805/(-405) + 29))/((-6)/8). -27 (-2 + 438/12)/(5/(-6) - 245/(-735)) -69 Evaluate (100/(-4) - (-34417)/1355)/(-12*(-8)/(-1020)). -17/4 Calculate (-455)/52 + 14097/508. 19 Evaluate (-7)/((-77)/(-6)) - 185/((-65120)/3008). 8 What is the value of 1085/124 + 3580/(-80)? -36 What is the value of (-631377)/5766 + (72 - -3)? -69/2 What is 355/(-55) + -4 + 18/(-33) - (-345)/45? -10/3 Evaluate ((-426)/(-27))/(19/12) + (207 - (67 + 150)). -2/57 26 + (10/4 - 4)/(24 - (-16611)/(-686)) 33 (-429 + 443)/((10*4)/(-2)) -7/10 What is (4/35 - (-8)/28) + 4094/(-2070)*27? -53 99/(-27)*3*(-1)/510 - (-8)/120 3/34 Evaluate (-3 - 42/(-8)) + 99900/(-31968). -7/8 Evaluate 950/(-760)*24/(-27)*(6 + 0). 20/3 Calculate (1/4 - (-13026)/(-73480))*(6 + (-245)/42). 2/165 48/(-528)*(103 - 4) -9 (-638)/1170 + (13/72 - (-51)/136) 2/195 Evaluate (1035/(-81) - -13)/(30/585). 13/3 Evaluate (-6)/(((-161)/92 - -1)/(30/16)) - -9. 24 Calculate 20/14 - (-3478)/(-20202)*-13. 11/3 What is the value of 32/(9216/1824) - (-1371)/(-216)? -1/72 Evaluate (6/36)/((-7850)/3920 - -2) + (-4)/6. -66 What is 12236/(-112) + 59 + 46? -17/4 6 - -49 - 1128/21 9/7 Evaluate 5977/139*(1/3)/(4/12). 43 Evaluate ((-8)/(-14))/((-5)/(-1225)*5). 28 What is -2 + 20 - (19 - 48)? 47 What is the value of -16 - (8 + 390/30) - 18/(-4)*-2? -46 (-207)/437*526/1578 -3/19 What is the value of ((-1036)/(-140) - 2159/85)/(0 - (-3)/(-4))? 24 Evaluate 26 + -9 - (-20 + -46 + 168). -85 What is the value of (336/13 - (-18)/117)/((7581/(-114))/133)? -52 What is the value of (-2)/(-134) - (-2093592)/1267506? 5/3 Calculate 16/7 - (-31790)/(-7140). -13/6 Evaluate (-60288)/(-1431840) + (-22602)/(-190). 119 Evaluate -35 + 3 - (171 - 149) - 13. -67 What is the value of (-16)/(-6)*465/100*1550/620? 31 Calculate 205 - 203 - (-6)/(-63)*(5 - -7). 6/7 What is the value of 281/(-8) - (-51)/408 - -23? -12 What is (6/4 - ((-81)/(-10) + -7))/((-69)/14145)? -82 What is the value of (-7580*18/(-2376) - (-2)/(-6)) + 312/(-286)? 56 3 - (-51)/18870*-1090 2/37 Calculate (644/1104)/((-4)/(-48)) - -13. 20 What is the value of (116/(-20) - -11)/(96/240)? 13 What is (-2 - 284/(-16))/((-14)/(-504)*27)? 21 Calculate 19/5 + (-361829)/10705. -30 Evaluate (31 - 32)/((-2590)/1512 - (-4)/(-16) - -2). -27 -5 + 4 - 23/(690/585)*(9 - 5) -79 Evaluate (-2258)/22 + 10282/583 + -18. -103 What is 12 + (198/(-120) + (-32)/(-20))*2975/14? 11/8 (-80)/50*(-81
{ "pile_set_name": "DM Mathematics" }
nd 4960. 14880 Find the common denominator of 61/3425 and 59/221255. 1106275 Calculate the common denominator of 61/90 and 19/1620. 1620 Find the common denominator of -99/16 and -26/38737. 619792 Calculate the lowest common multiple of 3060 and 228. 58140 What is the lowest common multiple of 198 and 9658? 86922 What is the common denominator of 7/97200 and 151/23400? 1263600 Calculate the lowest common multiple of 9924 and 1334778. 2669556 Calculate the smallest common multiple of 8664 and 12274. 147288 What is the common denominator of 13/162 and -1/1179? 21222 Find the common denominator of 73/496 and -1/1048. 64976 Calculate the smallest common multiple of 141 and 1504. 4512 What is the least common multiple of 55704 and 125334? 501336 What is the smallest common multiple of 172470 and 201215? 1207290 What is the least common multiple of 188 and 19740? 19740 What is the common denominator of 33/151406 and 3/4? 302812 Calculate the common denominator of -23/3200 and -109/5760. 28800 What is the lowest common multiple of 12 and 547500? 547500 What is the common denominator of -91/4320 and 109/27216? 272160 What is the common denominator of -2/8495 and -63/16990? 16990 What is the least common multiple of 17271 and 3838? 34542 What is the smallest common multiple of 5355 and 20? 21420 Find the common denominator of -71/32 and -81/208504. 834016 Calculate the least common multiple of 91428 and 6416. 365712 Calculate the common denominator of -49/6061 and -70/18183. 18183 Calculate the smallest common multiple of 656 and 43296. 43296 Calculate the least common multiple of 5348 and 287. 219268 What is the least common multiple of 330 and 113520? 113520 Find the common denominator of 33/280 and -43/2240. 2240 What is the common denominator of -19/6219 and 115/8292? 24876 What is the smallest common multiple of 4610 and 11525? 23050 Calculate the lowest common multiple of 1632 and 12672. 215424 Calculate the smallest common multiple of 223245 and 2970. 1339470 What is the least common multiple of 4031210 and 20? 8062420 What is the common denominator of -163/28248 and 99/2140? 141240 Find the common denominator of -118/24255 and 85/392. 194040 Find the common denominator of 39/1708 and -26/137067. 548268 Calculate the lowest common multiple of 131260 and 30. 393780 Calculate the common denominator of -41/1620 and 163/1260. 11340 Calculate the smallest common multiple of 638 and 139316. 1532476 Calculate the smallest common multiple of 40 and 15170. 60680 Find the common denominator of -71/170565 and -49/113710. 341130 What is the lowest common multiple of 492 and 38745? 154980 Calculate the least common multiple of 4 and 583736. 583736 Calculate the common denominator of -89/20898 and -9/4214. 1024002 What is the least common multiple of 34740 and 6336? 6114240 Find the common denominator of -35/816 and -133/43248. 43248 Find the common denominator of -27/40 and -95/10696. 53480 What is the common denominator of 16/19165 and 17/9? 172485 What is the common denominator of -73/10 and -27/153626? 768130 What is the least common multiple of 4043944 and 5? 20219720 Calculate the least common multiple of 15 and 17840. 53520 Calculate the lowest common multiple of 32794 and 163970. 163970 What is the lowest common multiple of 1888 and 215704? 862816 What is the common denominator of -157/168 and 13/63546? 254184 Find the common denominator of -67/3609 and 19/3384. 1356984 Find the common denominator of -137/52896 and -35/116. 52896 Calculate the least common multiple of 42744 and 10. 213720 What is the common denominator of 45/16112 and 13/272? 273904 What is the lowest common multiple of 8001088 and 6? 24003264 What is the common denominator of 49/5583 and -52/9? 16749 Find the common denominator of -53/740 and -13/16060. 594220 Find the common denominator of -41/56551 and 1/2549936. 28049296 What is the common denominator of -16/65813 and -8/17949? 197439 What is the common denominator of -17/20 and -57/10150? 20300 Calculate the lowest common multiple of 4 and 94168. 94168 Calculate the common denominator of -53/20 and 107/10600. 10600 Find the common denominator of 76/5649 and 127/9684. 67788 Calculate the common denominator of -79/18 and 91/3846. 11538 What is the common denominator of 47/19488 and 91/544? 331296 Calculate the smallest common multiple of 235 and 49256. 246280 What is the common denominator of 61/88830 and -91/2726? 2576070 Find the common denominator of 15/2114 and 47/259. 78218 What is the common denominator of 52/87515 and 9/1265? 962665 Calculate the lowest common multiple of 601580 and 64455. 1804740 Find the common denominator of 91/70365 and -17/309606. 1548030 Calculate the common denominator of -45/507331 and 131/5236. 14205268 Calculate the lowest common multiple of 105952 and 86688. 953568 Calculate the least common multiple of 57768 and 21924. 3639384 Calculate the lowest common multiple of 51293 and 6. 307758 Calculate the least common multiple of 3510 and 2925. 17550 Calculate the smallest common multiple of 1932 and 744. 119784 Find the common denominator of 27/14 and -11/13844. 96908 Calculate the common denominator of 11/207 and -58/20907. 20907 What is the common denominator of 167/71760 and -91/648? 1937520 Calculate the common denominator of 127/104610 and -61/18. 313830 Calculate the least common multiple of 224 and 34368. 240576 Calculate the least common multiple of 8325 and 90. 16650 Find the common denominator of 25/100026 and -133/33342. 100026 What is the common denominator of -97/10400 and 137/110? 114400 What is the common denominator of 19/2058 and -85/96? 32928 Find the common denominator of -67/11875 and 79/190. 23750 Calculate the common denominator of -19/261 and 139/742632. 2227896 Calculate the common denominator of -19/22680 and 193/7560. 22680 What is the common denominator of 101/10552 and 37/656862? 2627448 What is the common denominator of 111/14 and 47/3798788? 3798788 What is the common denominator of -52/21413 and -71/8379? 192717 What is the common denominator of -57/917 and 81/524? 3668 What is the common denominator of -19/465867 and -44/465867? 465867 What is the smallest common multiple of 177590 and 17759? 177590 What is the common denominator of 86/98355 and -79/12450? 983550 Calculate the least common multiple of 28396 and 2748. 85188 Calculate the common denominator of 41/210 and 26/17499. 1224930 What is the smallest common multiple of 1476 and 2169? 355716 What is the least common multiple of 8892 and 181260? 2356380 Calculate the smallest common multiple of 21840 and 34944. 174720 Calculate the common denominator of -22/477 and 65/18. 954 What is the lowest common multiple of 76 and 86? 3268 Find the common denominator of -35/174 and -73/2967. 172086 Calculate the least common multiple of 155680 and 107030. 1712480 Calculate the least common multiple of 139205 and 121. 1531255 Calculate the common denominator of 67/9 and 3/8275. 74475 Find the common denominator of 1/616 and -101/603736. 6641096 What is the common denominator of -11/52955 and -143/697760? 11861920 What is the common denominator of -15/1121 and -9/4? 4484 What is the least common multiple of 115710 and 17052? 1619940 Calculate the least common multiple of 258278 and 14774. 21437074 Find the common denominator of -73/76550 and -67/350. 535850 Calculate the lowest common multiple of 135 and 2610. 7830 What is the least common multiple of 25623 and 657? 25623 Calculate the least common multiple of 1883 and 1883. 1883 Find the common denominator of 145/48 and -65/203739. 3259824 Find the common denominator of 43/804426 and -79/49434. 8848686 Calculate the lowest common multiple of 151833 and 1366497. 1366497 Calculate the smallest common multiple of 69210 and 24. 276840 Calculate the common denominator of 64/21231 and 71/490672. 4416048 Calculate the lowest common multiple of 27264 and 7810. 1499520 Calculate the common denominator of -22/5 and 25/356484. 1782420 Calculate the common denominator of 17/11844 and 62/105. 59220 What is the least common multiple of 6 and 80934? 80934 Calculate the common denominator of -109/552 and -29/3544. 244536 Calculate the smallest common multiple of 219295 and 43859. 219295
{ "pile_set_name": "DM Mathematics" }
Let n = 0 - -2. Let x be (-2 + 3)*(0 + 0). Let v = -22 - -22. Solve 5*r + 9 = -2*l - v*r, x = -n*r - 2 for l. -2 Suppose 4*z = -4*j + 108, 2*j + 17 = 3*j - z. Solve -6*x = -x + 2*g + j, 2*x - g = -7 for x. -4 Suppose -v = v - 5*v. Solve -2*s + 12 = -4*p - 0*p, 3*s - 4*p - 16 = v for s. 4 Suppose 4*t = 8 + 12. Suppose -3*j - j + t*v - 9 = 0, -2*v = -10. Solve -5*a + 14 = -3*x, 2*a + 10 = -0*a - j*x for a. 1 Let w(d) = 3*d + 17. Let n be w(-5). Solve 4*q + n*x - 4*x = 2, 14 = q + 4*x for q. 2 Suppose -k + 4*v = 1 + 5, 4*k - v - 6 = 0. Solve f = 1, -5*i + k*f + f + 12 = 0 for i. 3 Let l(r) = -41*r**2 + r. Let g be l(-1). Let j be g/(-12) - (-2)/4. Solve 0*s = 5*b + 4*s + 22, j*s + 16 = -2*b for b. -2 Suppose 0 = 5*a - 5*z - 85, z = 3*a - 0*z - 59. Solve -3*b - a = -4*s, 21 = -4*b + 4*s - s for b. -3 Let c(w) = 11*w**3 - w**2 + w - 1. Suppose -f = -3*f + 2. Let n be c(f). Solve n = -2*r + 2*k + 3*k, 4*r + 2*k - 4 = 0 for r. 0 Suppose -2*n + 56 = 4*r, 3*r + 56 = 7*r - n. Let o be 28/6 - r/21. Solve -2*z - u = -9, o*u + 8 = -z + 4*z for z. 4 Let g be 3*(-2)/(-12)*4. Let f(l) = l + 7. Let h be f(-5). Suppose -h = -2*x + 4. Solve -5*w = -2*c + 15, -3*c - 9 = -g*c + x*w for c. 0 Let i = -7 - -8. Solve 0 = -4*s - g - 2, -g + 4 = -s + i for s. -1 Suppose 2*n - 31 = -5*l, 8 = 3*l - n - 4. Solve 2*z = -z - k + 11, -l*z - 10 = -4*k for z. 2 Suppose 11*k - 6*k = 10. Solve -2*n - p - k = 0, 0*p - 12 = -4*n + 2*p for n. 1 Let c be (-3 - -1)*27/(-18). Suppose 0 = 5*g - 0 + 10. Let j = c - g. Solve -j*r = -4*t - 13, 1 = t - 4*t + 2*r for t. 3 Let u(w) = w**3 - 4*w**2 - 5*w + 7. Let m be u(5). Solve 2*p = -4*a + 8, -a - 2*a = -5*p + m for a. 1 Let y(r) = -r**3 + 14*r**2 + 20. Let t be y(14). Suppose 0*z = -4*z + 4*x + t, 3*z - 5*x = 15. Solve 0 = -4*b - 3*q + z, -6 = -b - 4*q + 8*q for b. 2 Let r(s) = s**2 + 5*s - 31. Let t be r(-9). Solve -i + 12 = 5*d + 4, 4 = t*d + 3*i for d. 2 Let w(q) = q**3 - q + 2 - 1 + 4. Let k be w(0). Solve -4*o - 4 + 5 = 3*t, -o + 6 = -k*t for o. 1 Let i be 15*(-12)/(-54) + 2/(-6). Solve -2*o - 11 = 2*o + u, -i*o - u = 8 for o. -3 Let k(g) = 4*g**2 + g. Let m(y) = y**3 + 5*y**2 - 1. Let u be m(-5). Let o be k(u). Solve x - 5*d - 14 = 0, -x = -d + o*d for x. 4 Let m(l) = 2*l + 2. Let y be m(3). Let u be (-1 - (1 + -2))/(-1). Suppose u = -y*w + 3*w + 20. Solve -w*c - 2*j - 16 = 0, -7*c + 5*j - 30 = -3*c for c. -5 Let m(a) = 3 + 2*a + 2*a - 2*a + a**2. Suppose 2*w + 5 = 1. Let j be m(w). Solve 4*o = -j*v + 6, 6 = 2*o - 7*o + 3*v for o. 0 Suppose 0 = -4*l + 11 + 1. Let c(d) = -d + 2. Let x = 0 + 2. Let i be c(x). Solve -t + l*u + i*u = -4, -5*t = -2*u + 6 for t. -2 Let w be (-48)/(-4) - 8/2. Suppose w*x - 25 = 3*x. Solve -2*p = -x*o - 0*o + 4, o - 2 = 0 for p. 3 Let p be ((-5)/2)/(11/(-44)). Suppose 6*l + 1 = -3*r + 2*l, -2*l = 8. Solve -2*g = -3*c + r + 4, 4*c - p = 2*g for g. -3 Let j = 13 + -8. Let w = 5 - j. Solve 3*l + 2 = 2*x + 6*l, w = -x - 5*l + 15 for x. -5 Let r be (24 - 0)/(12/8). Solve -3*f + 4 = -5*t, f + 4*t + r = -3*f for f. -2 Let u = 43 - 41. Solve -j + 2*j - 5 = -5*o, -u*o + 2*j + 14 = 0 for o. 2 Let k = 57 + -55. Suppose 3*t - 7*t + 68 = 0. Solve 0 = l - 4*v + t, k*l + 0*l - 14 = -4*v for l. -1 Suppose 0 = x - 2*v - 3, 0 = -4*x + 4*v - v + 12. Solve g = 2*f - 2*g - 9, -5*f - x*g - 30 = 0 for f. -3 Let t = -17 - -34. Solve 3*m + 9*c - 3 = 4*c, t = -2*m + 3*c for m. -4 Let p = -2 - 1. Let u be 15 - 1/(p/(-9)). Solve 3*s + 3*t + 12 = 0, -u = 5*s - 0*s + t for s. -2 Suppose -90 = 2*r - 4*r. Suppose 0 = -j + 2*k + 18, -2*j - 5*k + r = 0. Solve -6 = -2*i + 2*z, j = 5*i - 3*z + 7 for i. 2 Suppose -3*c = -3*w + c - 3, 5*w - 5*c = 0. Suppose 80 = s + 4*s. Let u be s/(-6)*(-27)/12. Solve 2*m + 11 = u*m + w*z, -2*m = 2*z - 6 for m. 2 Let a(h) = -7*h - 2. Let l(t) = -t**2 - 8*t - 2. Let p be l(-8). Let u be a(p). Solve -4*b = g - u, 3*g = 2*g for b. 3 Let w be 1/((6 - 4)/(-22)). Let t = w + 13. Solve p + 2*b - 10 = 0, 0 = t*p + 3*b + 2*b - 25 for p. 0 Suppose 5*q = 2*d - 23, -3*d - d = -5*q - 31. Solve -7 = -2*m - w + 1, m - w = d for m. 4 Let i = 15 + -9. Solve -2 = -2*k - 4*l + i, k = 3*l - 6 for k. 0 Let o = -100 + 103. Solve 5*v - w = 2*w - o, 0 = 5*v - w + 1 for v. 0 Let x be ((-15)/(-10))/((-3)/(-4)). Solve 5*y + 5*z = -5, -y + 2*z = -x*z - 24 for y. 4 Suppose -u = -s, s - 4*u = 2*s - 10. Suppose 4*p + 2*b - 20 = -b, s*b + 5 = p. Solve -2*h + 3*x + 3 = 4*x, -p = -3*h - x for h. 2 Let o(z) = z**3 + 7*z**2 + 5*z + 3. Let k be o(-5). Suppose j - 1 + 4 = 0. Let l be 4 - (-3)/j - -11. Solve 2*v = -4*x + k, -x + l = 5*v - 11 for x. 5 Let f(o) = -o**2 + 8*o + 14. Let h be f(9). Solve -p - 2*t = h, -1 = p - t - t for p. -3 Suppose -8*l = -3*l - 20. Solve -2*s = -x - 4*s - 8, l*x + s = -4 for x. 0 Suppose 0*t + 30 = 5*t. Let p be t + 1 + -2 + 3. Solve 4*r + p = -3*u - 0, -4*r - 8 = -5*u for r. -2 Let i(q) = -q**2 + 4*q + 11. Let k be i(5). Suppose -m + d = k*d - 5, -d = m - 1. Solve 5*v - 3*w = 32, w + 4 = -m*w for v. 4 Let l(s) = -5*s**2 + 7*s**2 + 4 + 8*s + 5*s**2 - s**3. Let d be l(8). Solve -d*i - 5*b = -27, -i + 0*b = b - 6 for i. 3 Suppose 5*f - 34 = 2*c, 8 = -3*c - c. Let i be (-4)/f*(4 + -7). Solve -1 - 3 = 4*m + i*x, -2*x - 1 = 3*m for m. -3 Let f(r) = -3*r + 17. Let d be f(5). Solve -s = -4*a + 7, -s - 3*s + 26 = d*a for a. 3 Let w be 214/8 + 3/12. Let s = w + -7. Let y be s/6 - (-2)/(-6). Solve 2*f = i - 2, -2*i + 11 = -0*f + y*f for i. 4 Let i(o) = 2*o**2 + 7*o + 2. Let q be i(-6). Suppose -q = 4*h + 8. Let w = 17 + h. Solve -4*f = c + w, c - 9 = 4*f - 0 for c. 1 Let i(q) = -8*q + 64. Let d be i(8). Solve 2*x + 7 = -j, -5*x - 23 = -3*j - d*x for j. 1 Let w be -5*(2 + 42/(-15)). Suppose w*l - 2*l = 0. Suppose 4*d - 75 + 3 = 0. Solve -4*p + 2*z + d - 6 = l, -5*p + 10 = -5*z for p. 4 Suppose -2*h + 1 = -7. Solve 2 = -2*m - 0*m - 5*z, h*m + 4 = 5*z for m. -1 Suppose 6*m + 42 = 234. Suppose 2*j - 3*p = 35, 3*p - 1 = -2*j + 4. Solve -2*y = 4*b + 2*y + m, b - 5*y = j for b. -5 Let m(c) = c + 1. Let t be m(3). Suppose 0 = 2*y - t*y + 4. Let x(b) = 6*b - 1. Let n be x(y). Solve 2*z = -v + n, 0*v + 4*v - 32 = -4*z for z. 3 Let d(a) = a**3 + 9*a**2 + 8*a + 2. Let w be d(-8). Solve 4*u - w*x + 8 = 0, 7*x = -5*u + 4*x + 1 for u. -1 Let b be 3/6 - (-14)/4. Suppose 0 = b*k - 2*k. Suppose -3*z - 3 = 3*a, 4*z + a - 4*a = 17. Solve -q - z*l - 1 = 0, -2*l - 5 = 5*q - k for q. -1 Let y be 2/((-10)/(0 - 5)). Let w = -3 + 7. Suppose 4*s - 12 = w*l, -9 = -5*l - 2*s - s. Solve 5*c - 36 = -4*r, 3*c - 13 + y = l for r. 4 Let w(n) = -n**3 + 4*n**2 + n + 1. Let a be w(4). Let i(y) = 3*y - 10. Let k be i(7). Solve -o - 2*l - 7 = -l, o - a*l = k for o. -4 Let t = -2 + 9. Let l = t - 2. Solve 5*q = -3*o + 17, 3*o - l = 2*q + 5 for q. 1 Let z(c) = -c**2 - 14*c - 8. Let g be z(-10). Let k = g - 12. Suppose 5*w + 0 = k. Solve 10 - 2 = 2*a + 4*n, -20 = 4*a - w*n for a. -2 Let i(u) = -u**2 + 7*u + 17. Let f be i(8). Solve 3*m = -4*k + f, k - 4*m + 0 = -12 for k. 0 Let m be ((-3)/5)/(4/(-20)). Solve -4*s + 5*d = -9, 2*d + m + 1 = 2*s for s. 1 Suppose 2*a + 2*a = -z - 27, -8 = -z + 3*a. Let j = 12 + z. Let g(d) = -d**2 - 6*d + 10. Let h be g(-7). Solve -20 = -5*c, j*l - 25 = -2*c + h for l. 4 Let r be 2/(-2)*2*(-18)/12. Let q = 3 - 1. Suppose -n - f = 2*n - 6, q*f = -6. Solve n*t = 4*x + 22, 0 = -t - r*x - 2*x - 18 for t. 2 Suppose 4*r - 14 = -2*p, -2*r - 3*p + 0 = -17. Solve 5*a - t = 10 - r, 4*a + 5*t = -16 for a. 1 Let a = 16 - 13. Solve -5*w - 15 = 5*h, 3 = 5*w + a*h - 7*h for w. -1 Let y(u) = -2*u. Let r be y(1). Let p = r + 4. Solve 0 = n - h + 4*h + 2, -n + p*h - 2 = 0 for n. -2 Let i be (-24)/(-40) - 54/(-10). Solve -16 = p - 5*m, m - 2*m + i = -3*p for p. -1 Let q(n) = 25*n + 2. Let p(k) = 12*k + 1. Let x(z) = -13*p(z) + 6*q(z). Let g be x(-1). Solve -c = -2*c - 5*r - g, -4*r - 4 = -c for c. 0 Suppose -c = -4*c - 3. Let m be 2 - 3*1/c. Solve -2*o = -2*x - 8, 5*x + o = 5 + m for x. 1 Suppose 0 = 6*y - 4*y - 32. Suppose -13*o + 9*o + y = 0. Solve -o*i = -q + 3*q, -i - q = 1 for i. 1 Let b(c) = c. Let u be b(2). Solve -u*i + 4 = 4*v, -4*v + 10 = 4*i + i for i. 2 Suppose 2 + 0 = m. Suppose -6*k + m*k + 16 = 0. Let n = 5 - 3. Solve -n*y + 2 = 5*v + 7, 26 = -2*v + k*y for v. -3 Let b(k) = -k - 9. Let w be b(-7). Let v be (1*-3)/(2/w). Solve -x = -v*f, -
{ "pile_set_name": "DM Mathematics" }
3 + -2.8. Let t be 12/9*(-114)/(-16). Let o = 35/4 - t. Put d, o, -0.4 in ascending order. o, -0.4, d Let d(g) = g**3 - 7*g**2 + 10*g + 1. Let k be d(3). Put 4, 5, 2, k in descending order. 5, 4, 2, k Let z = -23 + 35. Put 0.1, z, 1/11 in ascending order. 1/11, 0.1, z Let i be 3/4 - (0 - 0). Let y be (2 + 140/(-72))*(-1 - 1). Sort y, 0.1, i in increasing order. y, 0.1, i Suppose -4*c + 6*c + 6 = 0. Sort -2, c, 4 in descending order. 4, -2, c Let i = 0.41 - 0.01. Let q = -7 - -12. Sort i, q, -2 in ascending order. -2, i, q Suppose 0 = 2*r + 3*r. Let p be -4 + (-2)/(-2) - -2. Sort r, p, -5 in descending order. r, p, -5 Suppose 6 = -3*q + 5*q. Suppose 3*x = -6 - q. Put 2/11, x, 0 in descending order. 2/11, 0, x Let l = 2 - 3. Let h be 946/(-1683) - (-8)/18. Sort l, -5, h in descending order. h, l, -5 Let j be (5 - 2)/(-3) + 2. Suppose z = -2*f - 0*f + 14, -f + 17 = 3*z. Let k(a) = a**3 - 4*a**2 + a - 4. Let d be k(z). Sort -5, d, j in decreasing order. j, d, -5 Let r = -23 - -23.11. Let c = r + 0.09. Sort -5, c, 2. -5, c, 2 Suppose -5 = 3*t + 4. Sort t, 2, -5 in ascending order. -5, t, 2 Suppose 50 = -10*f + 20*f. Let y(t) = t**2. Let k be y(-2). Put k, -1, f in decreasing order. f, k, -1 Let m = 114 - 112. Put m, 0.043, -2 in ascending order. -2, 0.043, m Let f be (-338)/117 - (-2)/(-18). Put -4, f, -5, -1 in ascending order. -5, -4, f, -1 Let w be ((-8)/(128/24))/(1/(-2)). Put 2/7, w, -5, -0.2 in decreasing order. w, 2/7, -0.2, -5 Let u be 3/11*(-10)/15. Sort -2, -1/4, u, -0.3. -2, -0.3, -1/4, u Suppose -7*h = 10 + 11. Put h, 5, -4 in increasing order. -4, h, 5 Let i be 0/(1 - (0 + 4)). Suppose -10*w + 13*w + 12 = i. Sort -0.2, w, -0.5 in decreasing order. -0.2, -0.5, w Suppose -8 = -v + 3*v. Suppose 0 + 5 = 5*m. Let i = m + -1. Sort -2, i, v. v, -2, i Suppose 0*a - 20 = -4*a. Suppose s - 5 = -5*w, -2*w - 25 = -a*s - 0*s. Sort s, -5, -3. -5, -3, s Let q = 0.14 - 0.14. Let z = -9.6 - -11.62. Let g = -0.02 + z. Put g, q, 3 in descending order. 3, g, q Suppose 0 = -6*u - 5*u + 44. Suppose 25 = 4*v + 1. Put 1, u, v in decreasing order. v, u, 1 Let w be 14/(-6)*10/35. Sort -13, 2/3, -2, w. -13, -2, w, 2/3 Let z be -1 + 0/(-5) + -5. Sort z, 1/4, -0.04 in decreasing order. 1/4, -0.04, z Suppose h = 0, -4*w - 4*h + 5*h = -12. Let z(r) = -r + 5. Let k be z(6). Sort k, w, 4. k, w, 4 Suppose -5*g + 5 + 5 = 2*r, -4*r - 2 = -g. Let f be r - (-3 + (-33)/(-9)). Sort -7, 5, f in decreasing order. 5, f, -7 Let l = 14 - 5. Let h(v) = l*v - 3 + 2*v**2 - 4*v**2 + v**2 - 6. Let i be h(7). Sort i, -1, -2. -2, -1, i Suppose 5*u + 2*q = -2*q + 40, -5*u = 2*q - 30. Let y be (-1)/4 - (-10)/8. Sort y, 2, u in descending order. u, 2, y Let q = 309 - 307.7. Let k = -3 - 2. Sort q, 4, k in decreasing order. 4, q, k Suppose 5*r - 2*t = 29, -5*r + 4*r = -t - 7. Let f = r + -4. Sort 3, f, -4 in decreasing order. 3, f, -4 Let u = 282 + -2259/8. Suppose 3*i = -3*m - 6, 4 + 1 = -m - 2*i. Let k be 1/5*(-3)/m. Sort u, k, -3/7 in descending order. u, -3/7, k Suppose -z + 8 = 3*h - 27, -5*h + 58 = 2*z. Let j = h - 8. Let o = 1 + j. Put o, -4, 1 in descending order. o, 1, -4 Let y(o) be the second derivative of -o**5/20 - o**4/12 - o**3/6 - o**2/2 + o. Let q be y(-1). Suppose q = -2*a - 0*a - 4. Put 3, a, -5 in increasing order. -5, a, 3 Let u be 2/(-7) + 18/(-84). Let y = -2.9 + -1.1. Sort y, 2/5, u. y, u, 2/5 Let k = 36 + -38. Sort 0, k, -19. -19, k, 0 Let i = -6 - -8. Let a = 3 - i. Suppose n + 3*s + 3 = -7, -4*n + s - 1 = 0. Put -3, a, n in decreasing order. a, n, -3 Let t(d) = d**2 + 5*d - 5. Let n be t(-6). Sort -3, n, 4. -3, n, 4 Let w = -5 - -7. Let o = -5 + 4.92. Let n = 5.08 + o. Sort -0.3, n, w in ascending order. -0.3, w, n Let y(g) = g**3 + g**2 + 4*g + 3. Let x be y(-1). Let a(c) = -2*c**2 - 1 - 2*c**3 + 3*c - 1 + 3*c**3. Let i be a(2). Sort i, x, 1 in ascending order. x, 1, i Let r = 3 - -3. Let n be r/(-21) + 10/(-14). Sort n, -5, 3 in descending order. 3, n, -5 Suppose -2 = -i + 2*z, -4*i = -5*i - 4*z + 14. Sort -2, -4, 1, i in descending order. i, 1, -2, -4 Let u be 4/(-2)*(-3)/(-2). Let x(t) = 2*t**3 + t. Let q be x(1). Let k = q + -5. Sort k, 0, u in decreasing order. 0, k, u Let u = -13 - -4. Let r be ((-6)/u)/((-2)/(-6)). Suppose 2*b + b = 15. Sort b, r, 4 in ascending order. r, 4, b Suppose f = 3*g - 13, -f + 15 = -2*g + 6*g. Let q be 1 + (0 - 0 - 0). Put g, q, 0 in ascending order. 0, q, g Suppose 0 = 2*i - 0*i + g - 6, -2*g = -8. Let t be 40/(-35) + 2/14. Let f be (t/(-6))/(5/4). Sort f, i, -0.4 in increasing order. -0.4, f, i Suppose 2 + 17 = -3*u - 5*i, u = -3*i - 9. Suppose -7*q - 2*q - 45 = 0. Sort u, q, -2. q, u, -2 Let t(g) be the third derivative of g**6/120 + g**5/10 - g**4/24 - 2*g**3/3 + 5*g**2. Let d be t(-6). Sort -5, d, 0 in descending order. d, 0, -5 Let u = -7 - -4. Suppose -5*m - 32 = -142. Let k be m/14 + 0 + -2. Put u, 4, k in increasing order. u, k, 4 Let a = 3 + -8. Suppose -f = 3*f - 4*u + 24, 0 = 4*u - 8. Sort 1, a, f in ascending order. a, f, 1 Suppose -25 = -5*y, -5*y = 2*z - 0 - 31. Put z, 2, 0, -2 in ascending order. -2, 0, 2, z Let f(h) = -h**2 + 2*h - 3. Let p be f(2). Sort p, -4, -0.5 in decreasing order. -0.5, p, -4 Let s = 33.5 + -33. Sort -5, 1/3, s. -5, 1/3, s Let s = -30 - -26. Sort 0.1, s, 5. s, 0.1, 5 Suppose -3*r + 5 = -2*r. Suppose 5*z - 12 = 33. Suppose 9*q = -3*l + 4*q - 30, 3*q = -z. Put l, r, 0 in descending order. r, 0, l Suppose -2*t = 2, 0 = -0*r - 4*r - 3*t + 25. Put 4, 2, r in descending order. r, 4, 2 Suppose -19*v + 8 = -17*v. Sort v, -1, 3, 0 in increasing order. -1, 0, 3, v Let t = -175 - -172. Let x(p) = -p. Let l be x(2). Sort t, l, 4 in increasing order. t, l, 4 Let l be (-6)/(-8) - 6/104. Let p = l + -84/65. Let z = 0 + -0.1. Put 4, z, p in increasing order. p, z, 4 Let v = 40 - 36. Sort v, 5, 1/7 in increasing order. 1/7, v, 5 Let q be (-1)/2*(-3 - -1). Suppose 21*s - 3*s + 54 = 0. Sort q, s, 5 in descending order. 5, q, s Let j(x) = x**2 + x + 4. Let t be j(0). Suppose 5*w = -6 - t. Sort -1, w, -3. -3, w, -1 Let h(u) = -u**2 - 7*u + 5. Let w = 9 + -16. Let r be h(w). Sort -3, -4/5, r in ascending order. -3, -4/5, r Suppose 30 = -2*j - p, 2*j + 10 = 4*p - 40. Sort -2, -4, -2/3, j in ascending order. j, -4, -2, -2/3 Let k = 146 - 145. Put k, 8, -2, 5 in descending order. 8, 5, k, -2 Let r = -2.2 + -2.8. Put -2/21, -0.1, r in descending order. -2/21, -0.1, r Let q = -73 - -64. Sort q, 1, -5. q, -5, 1 Let y be (-1)/1*2/4. Let g = -4.8 + 2.8. Put g, y, -5 in decreasing order. y, g, -5 Let i(d) = d**3 - 9*d**2 + 10*d - 12. Let l be i(8). Put l, -1, 3 in decreasing order. l, 3, -1 Let z = 3 + 6. Let m = z + -7. Sort 3, -3, m. -3, m, 3 Suppose i + 3*i = 60. Let f be (2/5)/((-3)/i). Suppose 3*u - 3*j + 0*j = -18, 18 = -2*u + 4*j. Put 3, u, f in descending order. 3, f, u Let c be (-1)/2*(-54)/9. Let u be (-1)/(-1) + (2 - 2). Put c, -5, u in decreasing order. c, u, -5 Let i = -4 + -14. Let j be (-9)/i - 5/2. Sort -4, j, 1 in ascending order. -4, j, 1 Suppose -4*g - 3 = 4*y - 11, -2*g = 4. Suppose -y*o = -3*a + 7, 7*o = 3*a + 2*o - 11. Let f = -67 + 62. Put f, a, 5 in descending order. 5, a, f Let w be (-5)/10*32/4. Let b be (-1)/(-4) + 10/(-8). Put 4, w, b in decreasing order. 4, b, w Let x(d) = d**3 - 4*d**2 + d + 4. Let k be x(3). Let h be (-4)/(-12) + 2/(-6). Let u = 0 + h. Sort u, k, 5 in descending order. 5, u, k Let a = -48 - -43. Sort a, -1, -10, -4. -10, a, -4, -1 Let a be 1/(-3)*0 + 2. Suppose -a*s + 5*l = -30, 4 = s - 2*l - 9. Let b = 0.1 - 0.1. Sort b, s, 4 in decreasing order. s, 4, b Suppose 0*a = -a. Suppose -4*f + f = a. Sort f, -1, -5. -5, -1, f Let z be -2 + 4/15*-982. Let c = 264 + z. Sort -2, c, 3. -2, c, 3 Let g = -571/7 - -82. Let l be ((-12)/8)/(6/(-16)). Sort 0.4, g, l in ascending order. 0.4, g, l Let v = -106 - -109. Suppose 5*n - 2*x + 8 = -11, n = 2*x + 1. Sort -2, n, v in descending order. v, -2, n Let w be ((-388)/100)/(6/5). Let p be (3 - 2)/(10/34). Let x = p + w. Sort x, 1, -2/11. -2/11, x, 1 Let s be -4*((-21)/6 + 3). Sort s, -8, -2. -8, -2, s Let n be 10/(-20) - ((-42)/52)/3. Put 3, n, 5 in descending order. 5, 3, n Let m be (42/(-28))/((-3)/8). Sort -8, m, -5 in decreasing order. m, -5, -8 Let v be -1*(4 + 0 + -4). Suppose -3*z + v = -f + 1, -3*z + 7 = f. Sort -5, -4, f in in
{ "pile_set_name": "DM Mathematics" }
921405036? 2, 479, 1002821 List the prime factors of 54683906. 2, 509, 53717 What are the prime factors of 677130068? 2, 169282517 List the prime factors of 1874295662. 2, 17, 7207, 7649 What are the prime factors of 22387672? 2, 2798459 What are the prime factors of 1127384277? 3, 43, 67, 130439 What are the prime factors of 39957027? 3, 11, 1210819 What are the prime factors of 2063429127? 3, 19, 61, 233, 283 List the prime factors of 564012420. 2, 3, 5, 967, 9721 What are the prime factors of 1525686818? 2, 647, 1179047 List the prime factors of 752705038. 2, 23, 16363153 List the prime factors of 457535972. 2, 114383993 What are the prime factors of 40557944? 2, 7, 43, 16843 What are the prime factors of 2919285? 3, 5, 29, 2237 What are the prime factors of 1113189191? 71, 73, 397, 541 What are the prime factors of 4083656135? 5, 13, 73, 860623 What are the prime factors of 1565126? 2, 163, 4801 List the prime factors of 292752180. 2, 3, 5, 7, 283, 821 What are the prime factors of 1952339594? 2, 73, 13372189 What are the prime factors of 474408913? 11, 43128083 What are the prime factors of 53915704? 2, 17, 61, 67, 97 What are the prime factors of 234685873? 43, 5457811 What are the prime factors of 1507330435? 5, 13, 61, 29243 List the prime factors of 278797957. 193, 727, 1987 What are the prime factors of 141403581? 3, 11, 491, 2909 List the prime factors of 171004641. 3, 57001547 List the prime factors of 33444082. 2, 7, 2388863 List the prime factors of 233555951. 37, 6312323 What are the prime factors of 3591502562? 2, 983, 1826807 What are the prime factors of 3561957228? 2, 3, 47, 6315527 List the prime factors of 3384041939. 3384041939 List the prime factors of 39314774. 2, 23, 109, 7841 What are the prime factors of 484310771? 7, 233, 296941 What are the prime factors of 16773493? 11, 53, 28771 List the prime factors of 85731990. 2, 3, 5, 19, 150407 What are the prime factors of 328697207? 19, 97, 178349 What are the prime factors of 3801845785? 5, 953, 797869 What are the prime factors of 140877001? 19, 23, 47 What are the prime factors of 32541104? 2, 151, 13469 What are the prime factors of 5304847275? 3, 5, 7, 13, 67, 1289 List the prime factors of 36560599. 36560599 List the prime factors of 262447042. 2, 11, 13, 29, 31643 What are the prime factors of 763662518? 2, 2087, 182957 What are the prime factors of 112037711? 179, 625909 List the prime factors of 684936217. 7, 47, 2081873 What are the prime factors of 5441756452? 2, 11, 127, 409, 2381 What are the prime factors of 174920675? 5, 2579, 2713 List the prime factors of 49251124. 2, 13, 947137 What are the prime factors of 344244487? 41, 53, 158419 List the prime factors of 41756396. 2, 11, 233, 4073 List the prime factors of 23955252. 2, 3, 211, 9461 List the prime factors of 51298591. 1667, 30773 List the prime factors of 54105964. 2, 11, 617, 1993 List the prime factors of 128846490. 2, 3, 5, 43, 99881 What are the prime factors of 274728007? 17, 1567, 10313 List the prime factors of 116788424. 2, 2129, 6857 List the prime factors of 5608742. 2, 17, 164963 What are the prime factors of 305476670? 2, 5, 163, 187409 What are the prime factors of 1441772792? 2, 4651, 38749 What are the prime factors of 28012287? 3, 9337429 List the prime factors of 3750656352. 2, 3, 39069337 What are the prime factors of 132092282? 2, 7, 9435163 What are the prime factors of 13298701? 13, 1022977 List the prime factors of 259183596. 2, 3, 7, 23, 134153 List the prime factors of 337422429. 3, 4165709 List the prime factors of 61173. 3, 7, 971 What are the prime factors of 13247150? 2, 5, 7, 5407 List the prime factors of 66098362. 2, 11, 359, 8369 List the prime factors of 1403289914. 2, 13, 53972689 What are the prime factors of 68348668? 2, 59, 109, 2657 What are the prime factors of 5423172111? 3, 7, 359, 239783 What are the prime factors of 24246333? 3, 2694037 What are the prime factors of 52078525? 5, 19, 109639 What are the prime factors of 31818939? 3, 19, 101, 5527 What are the prime factors of 299272413? 3, 11, 9068861 What are the prime factors of 113801395? 5, 967, 23537 What are the prime factors of 812702889? 3, 10033369 List the prime factors of 3938771329. 29, 107, 1269343 What are the prime factors of 58185384? 2, 3, 2424391 List the prime factors of 2540540326. 2, 359, 3538357 What are the prime factors of 405868499? 405868499 List the prime factors of 320585908. 2, 37, 2166121 List the prime factors of 607700633. 89, 139, 49123 List the prime factors of 451527. 3, 59, 2551 List the prime factors of 2661820971. 3, 907, 947, 1033 What are the prime factors of 402723344? 2, 131, 271, 709 List the prime factors of 1591743770. 2, 5, 107, 719, 2069 List the prime factors of 36669766. 2, 7, 379, 6911 List the prime factors of 3348588. 2, 3, 173, 1613 What are the prime factors of 935534619? 3, 101, 1029191 What are the prime factors of 3177941503? 11, 103, 2804891 List the prime factors of 127103674. 2, 2593, 24509 List the prime factors of 5874982233. 3, 157, 227, 54949 What are the prime factors of 45924257? 45924257 List the prime factors of 785795501. 179, 4389919 List the prime factors of 2860580041. 11, 1129, 230339 What are the prime factors of 131657203? 131657203 List the prime factors of 59808008. 2, 13, 575077 List the prime factors of 40977753. 3, 31, 43, 10247 What are the prime factors of 4434027691? 4434027691 What are the prime factors of 27194507? 839, 32413 List the prime factors of 65480029. 31, 59, 35801 List the prime factors of 86959182. 2, 3, 17, 23, 101, 367 What are the prime factors of 120155767? 120155767 List the prime factors of 4907388203. 4907388203 List the prime factors of 7076624. 2, 17, 26017 List the prime factors of 698480806. 2, 107, 761, 4289 List the prime factors of 371615702. 2, 1031, 180221 List the prime factors of 948498106. 2, 474249053 List the prime factors of 2552967234. 2, 3, 5253019 What are the prime factors of 5123902? 2, 7, 17, 21529 List the prime factors of 22818315. 3, 5, 13, 117017 What are the prime factors of 842990565? 3, 5, 56199371 List the prime factors of 282796690. 2, 5, 11, 29, 88651 What are the prime factors of 1396967294? 2, 29, 24085643 What are the prime factors of 1791817093? 11, 23, 37, 191413 What are the prime factors of 13994346? 2, 3, 2332391 What are the prime factors of 1804549532? 2, 3907, 115469 What are the prime factors of 18555705? 3, 5, 7, 58907 What are the prime factors of 122814586? 2, 101, 607993 What are the prime factors of 7052029298? 2, 25703, 137183 List the prime factors of 27848738. 2, 13924369 List the prime factors of 29858270. 2, 5, 13, 31, 239 What are the prime factors of 62591369? 1879, 33311 List the prime factors of 518966899. 11, 229, 206021 What are the prime factors of 2799540591? 3, 31, 241, 124907 What are the prime factors of 9015047? 9015047 What are the prime factors of 431144925? 3, 5, 89, 64591 List the prime factors of 53283308. 2, 13, 173, 5923 List the prime factors of 365856311. 14683, 24917 List the prime factors of 26882037. 3, 7, 13, 521 What are the prime factors of 1182410003? 3511, 336773 What are the prime factors of 1473069646? 2, 736534823 List the prime factors of 16733906. 2, 7, 163, 7333 What are the prime factors of 5847179967? 3, 37, 216779 List the prime factors of 1340674310. 2, 5, 134067431 What are the prime factors of 417095933? 9421, 44273 What are the prime factors of 153280800? 2, 3, 5, 61, 349 What are the prime factors of 218525060? 2, 5, 13, 79, 10639 List the prime factors of 64518173. 64518173 What are the prime factors of 149056942? 2, 37, 2014283 What are the prime factors of 67335545? 5, 13467109 What are the prime factors of 2236070702? 2, 131, 8534621 List the prime factors of 58865116. 2, 19, 774541 What are the prime factors of 797180694? 2, 3, 17, 149, 52453 List the prime factors of 1656388531. 7, 236626933 What are the prime factors of 251803189? 11, 109, 210011 List the prime factors of 42800180. 2, 5, 569, 3761 List the prime factors of 169577578. 2, 2309, 36721 What are the prime factors of 79457121? 3, 163, 54163 What are the prime factors of 558973523? 558973523 List the prime factors of 50811258. 2, 3, 1123, 754
{ "pile_set_name": "DM Mathematics" }
u**3 - 83*u**3 wrt u. -174*u**2 Let c(t) = t**3 + t**2 + t + 1. Let d(q) = -q**5 - 13*q**3 - 7*q**2 - 8*q - 14. Let f(h) = -14*c(h) - 2*d(h). What is the second derivative of f(v) wrt v? 40*v**3 + 72*v Suppose -2*x + 143 = -s, 153 = 2*x - 2*s + 5. What is the derivative of -36*n - 2*n**4 - 11 - 33*n + x*n wrt n? -8*n**3 Let u(q) be the third derivative of -11*q**6/20 - q**5/60 - 3*q**3 - 4*q**2 - 6*q. What is the third derivative of u(l) wrt l? -396 Let q(h) be the second derivative of h**4 - 4*h**3 - 41*h**2/2 - 40*h. Let g(v) be the first derivative of q(v). Differentiate g(m) with respect to m. 24 Let g(z) be the second derivative of -3*z**5/2 + 11*z**3/6 + 385*z**2 - 9*z + 15. Differentiate g(d) wrt d. -90*d**2 + 11 What is the second derivative of -490*z - 25*z**3 + 2*z**2 - 11631 + 11631 wrt z? -150*z + 4 Let q(b) = b**3 + b**2 + b - 1. Let c(i) = -20*i**4 - 5*i**3 - 5*i**2 + 22*i + 5. Let f(g) = -2*c(g) - 10*q(g). What is the second derivative of f(k) wrt k? 480*k**2 Let i = -7 - -9. What is the second derivative of 108*s**i + 9*s - 94*s**2 + 2*s wrt s? 28 Let d(g) = -14*g + 10. Let y(l) = -3. Let b(z) = -10. Let f(k) = 2*b(k) - 7*y(k). Let x(w) = d(w) - 2*f(w). What is the first derivative of x(j) wrt j? -14 Find the second derivative of 1876*f**3 - 7 - 939*f**3 + 66*f**4 + 2*f - 937*f**3 wrt f. 792*f**2 Let k(i) be the second derivative of 106*i**5/5 + 173*i**2 - 525*i. What is the first derivative of k(v) wrt v? 1272*v**2 What is the third derivative of -z**2 - 104*z**4 + 83*z**4 - z**2 - 26*z wrt z? -504*z Let i(d) = -3 + 4*d - 4*d**2 + 6*d**2 - d**2. Let r be i(-5). Find the third derivative of 0*z**r + 2*z - 2*z + z**4 - 7*z**2 wrt z. 24*z Let q(m) be the third derivative of 122*m**7/105 + m**6/60 + 11*m**5/10 + 5*m**4/24 + 152*m**2. What is the third derivative of q(o) wrt o? 5856*o + 12 Suppose -u = -2*i - 7, -5*i + 2*u - 19 = -0*u. Let w(g) = -g**2 - 5*g + 2. Let k be w(i). Differentiate 3*p**2 - 2*p**k - 4 + p**2 wrt p. 4*p Let k(a) be the third derivative of -a**5/60 + a**4/3 + a**3 - 2*a**2. Let y be k(8). Differentiate -6*m + 4 + y*m + 3*m**4 with respect to m. 12*m**3 Let h = 1490 - 1489. Let c(q) be the first derivative of -h + 0*q**2 + 0*q**3 - 11*q + 11/4*q**4. Differentiate c(u) with respect to u. 33*u**2 Let d(v) be the second derivative of v**9/1680 + v**5/120 - v**4/6 + 10*v. Let w(n) be the third derivative of d(n). Differentiate w(o) wrt o. 36*o**3 Let c = -8 + 11. Let k be (c - 1)/((-8)/(-12)). Find the third derivative of 19*s**2 - 9*s**2 - 9*s**2 + k*s**4 wrt s. 72*s Let f(u) = 4*u**2 + 2*u + 2. Let n be f(-2). Suppose -3*q = d - n, -d + 5*d = 8. Find the second derivative of q*r + r + 0*r**3 + 3*r**3 - 3*r wrt r. 18*r Suppose 16 = 2*s - 2*h, -14 = -4*s + 5*h + 23. Let j be 5 - s/(-2 - -3). What is the first derivative of -3*t**2 + 5 - 8*t**j + 10*t**2 wrt t? -2*t Differentiate 170 - 55*r + 135*r - 340*r with respect to r. -260 Let t(q) be the first derivative of 13 + 5/2*q**2 - 29*q. Find the first derivative of t(b) wrt b. 5 Let a be (-38)/(-3 + 1 + 0). Suppose -3*j + a = -2. Find the second derivative of 11*c - 10*c + 3*c**5 - j*c**5 wrt c. -80*c**3 Let k(t) be the second derivative of t**7/105 - 7*t**4/6 + 5*t**2 + 22*t. Let s(m) be the first derivative of k(m). What is the second derivative of s(h) wrt h? 24*h**2 Suppose -2*j + 22 + 6 = 5*p, -28 = -3*p - 4*j. Let m(d) = d**2 - 6*d - 4. Let i be m(-1). Differentiate -6*u**p + 8 + 0*u**4 - 5*u**4 - i wrt u. -44*u**3 Let y be 20/(-3)*(-36)/15. What is the second derivative of 0*d**5 - 3*d - 8*d**5 + 5*d**5 - y*d wrt d? -60*d**3 Let w = -2 + 6. Let y(v) = -v + 7. Let i be y(w). What is the second derivative of -4*q**2 - 8*q**i + 4*q**3 + 4*q**2 + 6*q wrt q? -24*q Differentiate 3*q + 12*q**2 - 7*q + 53 + 3*q - 11*q**2 wrt q. 2*q - 1 Let x(w) be the third derivative of -41*w**7/210 - 3*w**4/2 + 42*w**2. What is the second derivative of x(a) wrt a? -492*a**2 Let z(a) be the third derivative of -a**4/4 - a**3/3 - 7*a**2. Let s be z(-1). Find the second derivative of s*l + 17*l**4 - 3*l - 5*l**4 wrt l. 144*l**2 Let d(s) be the second derivative of 2*s**6/15 - s**5/2 - 43*s**4/12 + 2*s. What is the third derivative of d(q) wrt q? 96*q - 60 Let r(l) be the third derivative of -131*l**8/168 + 14*l**5/15 - 4*l**2 + 15. What is the third derivative of r(a) wrt a? -15720*a**2 Let f be 1*(-1 - -2)*6. Suppose -2*i + 12 = f. Differentiate -2*h**i - 3 - 3*h**3 + h**3 - 2*h**3 wrt h. -18*h**2 Differentiate 77 + 2*c**2 - 220*c - 65*c**4 + 220*c with respect to c. -260*c**3 + 4*c Let v(q) = 126*q**5 - 5*q**3 + 11*q**2 + 3. Let w(a) = 128*a**5 - 6*a**3 + 12*a**2 + 3. Let u(y) = 6*v(y) - 5*w(y). What is the third derivative of u(k) wrt k? 6960*k**2 Let d be ((-15)/9)/((-5)/6). Find the second derivative of 8*b**2 - 61 + 61 + 11*b**d + 19*b wrt b. 38 Let s(r) be the first derivative of 0*r**3 + 25/2*r**2 + 0*r + 8 - 5/2*r**4. Find the second derivative of s(n) wrt n. -60*n Let h(m) = m**4 + m**3 - 1. Let r(o) = -9*o**4 + 10*o**3 + 119. Let s(z) = -2*h(z) - r(z). Differentiate s(v) wrt v. 28*v**3 - 36*v**2 Let h(v) = -4*v - 14. Let g be 13/(-3) + (-2)/3. Let j be h(g). What is the third derivative of -30*y**2 + 9*y**j - y**6 + 34*y**2 wrt y? 960*y**3 Let c = -2 - -11. What is the third derivative of -5*p**2 - 178*p**3 + c*p**4 + 178*p**3 wrt p? 216*p Suppose -10*a = -56 - 14. What is the second derivative of -3*z**2 + 5*z**5 + a*z + 3*z**2 - 33*z wrt z? 100*z**3 Let q(u) be the third derivative of 4*u**7/15 + u**6/60 + 13*u**3/6 - 27*u**2. What is the derivative of q(g) wrt g? 224*g**3 + 6*g**2 Suppose 12 = 4*c, -4*n - 5*c + 0*c + 147 = 0. Find the first derivative of 0*w - n*w + 1 - w + 7 wrt w. -34 Suppose -4*q + 18 = -q - 3*h, h = -2*q. Find the first derivative of 1 + 0 - q*v**4 - 6 wrt v. -8*v**3 What is the second derivative of 6*x**5 + 223*x + 6*x**5 + 4 - 121*x + 21*x**4 wrt x? 240*x**3 + 252*x**2 Let t(s) = s**3 + 5*s + 2. Let v be t(0). What is the third derivative of 338*w**5 + 341*w**5 + 24*w**v + 14*w**6 - 679*w**5 wrt w? 1680*w**3 Let z be 22/4 - 8/(-16). Suppose z*y = y. Differentiate y + 3*r - r + 6 with respect to r. 2 Let x(o) be the second derivative of 3/5*o**6 - 7*o**2 + 0*o**3 + 0*o**4 + 24*o + 0 + 0*o**5. Find the first derivative of x(m) wrt m. 72*m**3 Let z(i) = 2*i**3 - 3*i + 3. Let a be z(1). What is the second derivative of -2*t + 0*t**2 + 17*t - 9*t**2 - t**a wrt t? -20 Let u(n) be the second derivative of -1/6*n**7 + 0 + 0*n**6 + 5/6*n**4 + 0*n**2 - 11*n + 0*n**3 + 0*n**5. What is the third derivative of u(x) wrt x? -420*x**2 Let z(t) be the second derivative of t**10/2520 - t**6/360 + t**3/6 + 2*t. Let a(n) be the second derivative of z(n). Find the third derivative of a(r) wrt r. 240*r**3 Find the third derivative of -3*d**4 + 31*d**5 + 2*d**4 - 7*d**2 - 3*d**4 + 0*d**2 + 4*d**2 + 4 wrt d. 1860*d**2 - 96*d What is the second derivative of 1484*k - 26*k**5 - 1444*k - 28*k**5 wrt k? -1080*k**3 Suppose 3*u - 25 + 13 = 0. Let k(m) be the first derivative of 0*m + m**2 - 3 + 0*m**5 + 0*m**u + 2/3*m**6 + 0*m**3. Find the second derivative of k(i) wrt i. 80*i**3 What is the derivative of -536*a - 579 - 42*a - 246 + 264 wrt a? -578 Let r(k) = 93*k**3 - 18*k + 6. Let f(t) = -185*t**3 + 36*t - 14. Let q(i) = 2*f(i) + 5*r(i). What is the second derivative of q(j) wrt j? 570*j Find the third derivative of 53 - 769*h**2 + 573*h**3 - 161 + 108 wrt h. 3438 Suppose 13 = -h + 3*b, -10 = 3*h - 3*b - 1. Find the third derivative of -14*x**6 - 2 + 0*x**2 - 4*x**2 + h wrt x. -1680*x**3 Let a be -6*1*(-5)/10. What is the third derivative of 1 - 1270*u**2 + 11*u**a + 1264*u**2 - 1 wrt u? 66 What is the second derivative of 9 - 7*l + 178*l**3 + 159*l**5 - 348*l**3 + 170*l**3 wrt l? 3180*l**3 Let w(c) = -9*c**3 + 21*c + 4. Let t be 18/54 - (-22)/6. Let k(q) = 10*q**3 - 20*q - 3. Let l(f) = t*k(f) + 3*w(f). Find the second derivative of l(n) wrt n. 78*n Let z(k) = k**3 - 6*k**2 + 6*k - 2. Let n be z(5). Suppose 4*v - 68 = 4*d, 0*v = -4*v - 2*d + 50. Find the second derivative of -14 - 3*b + v - b**n wrt b. -6*b Let x(a) be the first derivative of -a**8/16 + 9*a**5/20 - 11*a**2/2 - 11. Let m(q) be the second derivative of x(q). Find the third derivative of m(t) wrt t. -12
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from {z: 4, g: 2, n: 7, c: 2, y: 3}? 1/1530 What is prob of sequence ttut when four letters picked without replacement from uttt? 1/4 What is prob of sequence mojl when four letters picked without replacement from mooomjkooojjooojljof? 5/5814 Three letters picked without replacement from {h: 2, l: 1, k: 1, s: 1, f: 1, v: 2}. Give prob of sequence hfs. 1/168 Calculate prob of sequence xpx when three letters picked without replacement from {x: 3, p: 1}. 1/4 Calculate prob of sequence gg when two letters picked without replacement from {w: 2, g: 6}. 15/28 Calculate prob of sequence ug when two letters picked without replacement from {g: 6, u: 7}. 7/26 Calculate prob of sequence hvfc when four letters picked without replacement from csdhhfddcssdsdv. 1/8190 What is prob of sequence gtp when three letters picked without replacement from pggtpptagp? 1/30 Calculate prob of sequence coha when four letters picked without replacement from {o: 11, h: 2, w: 1, a: 1, c: 1}. 11/21840 Calculate prob of sequence bl when two letters picked without replacement from bllr. 1/6 Three letters picked without replacement from fofzzzfqfvvvzfoyyf. What is prob of sequence fyz? 1/102 What is prob of sequence geiw when four letters picked without replacement from wgweigwwtw? 1/504 What is prob of sequence pk when two letters picked without replacement from pmekmemhmeememkemmmm? 1/190 What is prob of sequence ir when two letters picked without replacement from {p: 1, r: 1, t: 4, d: 3, i: 5, z: 1}? 1/42 Two letters picked without replacement from sssseesssexsjeeyx. What is prob of sequence ey? 5/272 What is prob of sequence mep when three letters picked without replacement from {m: 3, x: 1, b: 2, p: 1, e: 3}? 1/80 What is prob of sequence eeh when three letters picked without replacement from ehheeejhejejjh? 5/91 Two letters picked without replacement from hjpep. Give prob of sequence pe. 1/10 What is prob of sequence bznz when four letters picked without replacement from bdzznzwobwdoddboz? 3/4760 Four letters picked without replacement from nnnnnnn. Give prob of sequence nnnn. 1 Calculate prob of sequence bb when two letters picked without replacement from zzzzzzzzbbbzzbzzzzzz. 3/95 Three letters picked without replacement from {h: 1, w: 1, l: 4, g: 5}. Give prob of sequence llw. 2/165 What is prob of sequence etht when four letters picked without replacement from cthccbcccqccchhchce? 0 Calculate prob of sequence xdu when three letters picked without replacement from xezzudzgzgezxex. 1/910 What is prob of sequence tj when two letters picked without replacement from vitcjvcjm? 1/36 What is prob of sequence jzc when three letters picked without replacement from cjz? 1/6 Calculate prob of sequence cjk when three letters picked without replacement from {k: 3, c: 1, j: 1, t: 4, p: 2, b: 1}. 1/440 What is prob of sequence xgvl when four letters picked without replacement from lligxmlvlimlmxm? 1/3276 Calculate prob of sequence xx when two letters picked without replacement from pxpbppapxppccpb. 1/105 Four letters picked without replacement from {y: 2, h: 1, l: 2}. What is prob of sequence lhyy? 1/30 Two letters picked without replacement from {m: 3, k: 2, n: 1, r: 4, q: 1}. Give prob of sequence kk. 1/55 Four letters picked without replacement from {y: 4, w: 1, o: 1, c: 1, q: 4}. Give prob of sequence yoqc. 1/495 Calculate prob of sequence gg when two letters picked without replacement from gtggogygttogtyygtgg. 4/19 Four letters picked without replacement from llrlrrl. What is prob of sequence lrrl? 3/35 What is prob of sequence ng when two letters picked without replacement from {s: 1, i: 2, n: 1, g: 1}? 1/20 What is prob of sequence qkxx when four letters picked without replacement from lqqqqqqqcqxqkqxqcq? 1/3060 What is prob of sequence ee when two letters picked without replacement from {u: 2, e: 4, r: 3, p: 1}? 2/15 Four letters picked without replacement from avdwtdf. Give prob of sequence vtfd. 1/420 What is prob of sequence mm when two letters picked without replacement from {o: 9, m: 2, n: 6}? 1/136 What is prob of sequence xikq when four letters picked without replacement from iiqqihirhkixxhiiiqi? 3/5168 Four letters picked without replacement from {f: 1, t: 1, y: 1, x: 2, l: 2, c: 1}. What is prob of sequence tlxt? 0 Three letters picked without replacement from kdddkddkkok. Give prob of sequence kod. 5/198 Calculate prob of sequence ds when two letters picked without replacement from gkdszjsj. 1/28 Calculate prob of sequence df when two letters picked without replacement from {f: 1, d: 12}. 1/13 What is prob of sequence kcek when four letters picked without replacement from xlcceelxeckklckkeccx? 4/1615 Three letters picked without replacement from {x: 3}. Give prob of sequence xxx. 1 Calculate prob of sequence jdx when three letters picked without replacement from djunjuuujxjgxuudu. 1/255 What is prob of sequence nnn when three letters picked without replacement from {m: 3, n: 17}? 34/57 Four letters picked without replacement from {c: 1, f: 12, o: 7}. Give prob of sequence fcoo. 7/1615 What is prob of sequence gnt when three letters picked without replacement from {t: 1, g: 1, k: 1, n: 1, i: 3}? 1/210 Two letters picked without replacement from npnyyeyycyybyp. Give prob of sequence nc. 1/91 Three letters picked without replacement from {y: 1, z: 1, g: 2, w: 2, d: 1, i: 1}. Give prob of sequence ggi. 1/168 Two letters picked without replacement from {t: 3, b: 8}. What is prob of sequence bb? 28/55 Calculate prob of sequence wnwn when four letters picked without replacement from nnnwnnnw. 1/28 Two letters picked without replacement from awzhzoazasw. What is prob of sequence os? 1/110 Calculate prob of sequence pk when two letters picked without replacement from kddkkdksdddkpdpdddkk. 7/190 Two letters picked without replacement from {l: 3, m: 12}. What is prob of sequence lm? 6/35 Two letters picked without replacement from {n: 5, e: 8}. Give prob of sequence ne. 10/39 Calculate prob of sequence luk when three letters picked without replacement from ulkllulkoouok. 3/143 What is prob of sequence cz when two letters picked without replacement from bicdzbbb? 1/56 Calculate prob of sequence gx when two letters picked without replacement from xdvvvxddvvvg. 1/66 Two letters picked without replacement from {l: 1, t: 3}. Give prob of sequence lt. 1/4 Two letters picked without replacement from {s: 1, e: 7, f: 6}. Give prob of sequence fe. 3/13 Four letters picked without replacement from {x: 1, i: 13, e: 3}. What is prob of sequence eeix? 13/9520 Three letters picked without replacement from {r: 1, x: 2, u: 1, k: 1, p: 1, a: 1}. Give prob of sequence pru. 1/210 What is prob of sequence ofo when three letters picked without replacement from fjfofojfoofj? 1/22 Calculate prob of sequence oddd when four letters picked without replacement from ooommommomooodomo. 0 What is prob of sequence rfr when three letters picked without replacement from rrrrffrrr? 1/6 Calculate prob of sequence rgrr when four letters picked without replacement from gggggrgrgr. 1/120 Four letters picked without replacement from mzvovvqmmvqzom. What is prob of sequence zvvv? 2/1001 Three letters picked without replacement from {n: 2, f: 7, x: 3}. Give prob of sequence xfn. 7/220 Three letters picked without replacement from {n: 1, r: 2, h: 6, g: 4, j: 3, s: 3}. Give prob of sequence sgs. 4/969 Three letters picked without replacement from ffvfvxvffxfee. What is prob of sequence vxx? 1/286 Calculate prob of sequence ltrt when four letters picked without replacement from wwttwwrtltw. 1/660 Three letters picked without replacement from xhjexxjeeeeexexe. What is prob of sequence xxx? 1/56 What is prob of sequence ou when two letters picked without replacement from {u: 2, o: 2}? 1/3 Calculate prob of sequence mvm when three letters picked without replacement from {g: 5, f: 2, v: 3, m: 5}. 2/91 Calculate prob of sequence ka when two letters picked without replacement from {k: 1, a: 2}. 1/3 What is prob of sequence xciq when four letters picked without replacement from {q: 1, x: 1, i: 1, c: 1, b: 3}? 1/840 Four letters picked without replacement from sstbtstttbssttbst. What is pro
{ "pile_set_name": "DM Mathematics" }
e value of (-39)/((-1755)/(-18))*(-25)/(-155)? -2/31 ((-969)/(-153))/((-28)/21*(-3)/(-12)) -19 What is ((-36)/10)/((-170)/(-850))? -18 Evaluate 5/(-7)*((-30)/525)/((-3)/42). -4/7 Calculate -49*(18*2/336)/(3/8). -14 What is the value of 22/3*-3*281/(-2248)? 11/4 Evaluate (5/20)/(28/(-112))*(-6)/(-2). -3 Calculate (-3)/(12/2)*22*14/(-7). 22 Evaluate (((-55)/(-8))/(210/(-504)))/((-1)/(-2)). -33 What is (7*(-4)/6)/(((-10251)/(-67))/(-459))? 14 ((-28)/(-22))/(27*57/(-16929)) -14 What is ((-13)/(143/66))/((-9)/(-30))? -20 -3*-272*(-21)/1008 -17 What is (-1140)/9975*5*((-1)/2)/1? 2/7 Evaluate 0*-24*2/(-96). 0 Calculate (272/(-51))/16*42. -14 Calculate ((-18)/(-162))/((1/12)/(42/784)). 1/14 Evaluate 11/(-165)*(198/(-60))/(-11). -1/50 Calculate 123/41*10/25. 6/5 Calculate 2/((-1)/(-4)*-14)*7/(-5). 4/5 Evaluate (-192)/8*(3/10)/(-3). 12/5 Calculate -6*(-2)/4*(-7)/(126/(-18)). 3 ((-35)/14*(-56)/(-140))/(2/(-34)) 17 What is the value of (15*(-11)/275)/(6/(-240))? 24 ((-8)/24*3)/(-9) 1/9 What is the value of (270/(-675))/(4/5)*3/15? -1/10 What is the value of (1*(-40)/720)/((-1)/6*-2)? -1/6 Evaluate ((-1)/2)/((-90)/(-20))*102/34. -1/3 What is (1/2*1)/((-23)/12144*-22)? 12 1/(1/4)*89/356*-16 -16 2*(1260/40)/(-7) -9 Evaluate 259/(-259)*(-3)/(-5). -3/5 Calculate (-1)/((170/(-50))/(-17)). -5 What is 14/7*(-7)/14? -1 What is (-128)/(-96)*(-18)/276? -2/23 Calculate ((-560)/(-126))/40*3. 1/3 What is ((-420)/560)/(9/(-12))? 1 What is (-16)/42*(-6279)/6578? 4/11 What is the value of ((-18)/(-117))/(13/(-507))? -6 11*(5/(15/(-6)))/(-2) 11 Calculate ((-1206)/(-1072))/(5/80). 18 Evaluate (12/(-36)*15)/(1/(-5)). 25 ((-96)/2)/(12/(-2)*(-172)/(-344)) 16 -3*(38/665)/(4/(1344/18)) -16/5 What is the value of 45/228*(-1932)/2415? -3/19 Evaluate ((-1)/4)/(127/381). -3/4 What is ((-4)/(-10)*10/(-1))/(-1)? 4 Calculate (((-724)/7602)/(2/14))/11. -2/33 Evaluate (-1)/(137/2877*(-14)/4). 6 11/(-1)*2910/3201 -10 Calculate 972/(-27)*(14/(-9))/(-7). -8 What is the value of (4/(-10))/((-32)/80)? 1 Calculate (56/(-24))/(-7)*1*27. 9 What is (2/45)/(20*279/(-4650))? -1/27 Calculate ((-78)/546)/(5/(-77)). 11/5 What is 40/64*(-128)/(-20)? 4 (4/(-2))/((-358)/895) 5 Evaluate ((-465)/(-124))/(4/(128/(-12))). -10 Calculate (-9*14/(-63))/(-166)*18/9. -2/83 What is (-16)/12*(-42)/(-812)? -2/29 What is the value of -40*1*(-52)/208*2? 20 What is the value of 22/(572/117)*(-28)/(-72)? 7/4 What is the value of (1*-3)/(((-88)/1056)/((-1)/(-4)))? 9 Calculate -1*3*(-11)/6600*8. 1/25 What is the value of ((-39)/((-507)/26))/(-44)*(-6)/(-2)? -3/22 What is the value of 6/(-4)*40/6? -10 What is (3/18*-4)/(51/((-68850)/(-60)))? -15 Evaluate (-45)/(-2)*40/300. 3 What is 15/((-126)/12*123/(-574))? 20/3 What is the value of (227/681)/((-2)/3)? -1/2 What is the value of (-96)/20*5115/1364? -18 What is the value of (-7*12/144)/((49/2)/(-7))? 1/6 Evaluate (-36)/((-51)/(-17))*-2*1/4. 6 Calculate (84/9)/((1/(-3))/((-2)/(-4))). -14 What is the value of (7/21*-3)/(78/(-1092))? 14 Calculate (-333)/(-74)*((-5)/15)/(44/(-16)). 6/11 Calculate ((10/3)/(-10)*-6)/(6/15). 5 Evaluate ((-9528)/(-6352))/(((-225)/4)/3). -2/25 Calculate ((-1830)/244)/(4/16*-6). 5 Calculate (405/(-30))/(15/10). -9 What is the value of (2/(-4))/((-1694)/(-616))? -2/11 What is -12*51/(-68)*2/(-42)? -3/7 What is 1/(7*3)*27/243*18? 2/21 What is the value of 10*24/(-44)*(4/(-5))/(-2)? -24/11 What is the value of 1*((-201)/1139)/(6/4)? -2/17 Evaluate -3*37/(703/(-171)). 27 2010/134*27/45*(-6)/2 -27 (-84)/(-168)*(-108)/6 -9 (-21)/3*23/((-10626)/(-165)) -5/2 What is the value of (77/11)/56*-8? -1 Evaluate -4*4/54*184/736. -2/27 Calculate 66*(10/36)/(325/195). 11 What is the value of 2/(2/(-1))*13/((-273)/6)? 2/7 Evaluate (-10)/25*-21*((-240)/(-36))/4. 14 Evaluate 92/((-35696)/4365)*((-8)/(-6))/2. -15/2 Calculate 12/3*(-11)/88*54. -27 Evaluate ((-20)/(-20))/(3/24*-1). -8 What is the value of (-2)/(-5)*(-234)/585*25/(-24)? 1/6 (2240/21)/16*(-54)/(-24) 15 (-53*90/(-11130))/(40/(-14)) -3/20 (-4)/((-24)/(-6))*2 -2 Calculate 21/(-112)*(-476)/21. 17/4 What is ((-81)/18)/(((-60)/(-28))/(32/(-28)))? 12/5 (-64)/6*(93/496)/((-1)/(-12)) -24 ((-54)/(-165))/(3/2*464/3480) 18/11 Calculate (((-12)/9*36/(-88))/2)/(-3). -1/11 Calculate -13*10/3640*8. -2/7 Evaluate (16/28)/(24/28)*18/3. 4 ((-10)/4)/((-826)/(-3304)) -10 Calculate 7/(-70)*2/((-8)/(-10)). -1/4 What is the value of ((-4)/(-4)*8)/18*18/20? 2/5 What is the value of (4/10*(-1428)/(-510))/(4/(-10))? -14/5 What is (((-24)/12)/(-6))/(-2)? -1/6 Evaluate ((-84)/32*1)/(((-108)/(-16))/9). -7/2 What is (3792/(-2212))/((-8)/14)? 3 Calculate ((8/4)/((-132)/(-110)))/((-26)/(-6)). 5/13 ((-24)/104)/(((-6)/3)/(-4)) -6/13 Evaluate ((72/2160)/((-4)/10))/((-34)/(-102)). -1/4 Evaluate (-136)/10*535/(-428). 17 Calculate (-1)/(8/(-96)*28). 3/7 What is the value of ((108/(-135))/(-2))/((-2)/(-185))? 37 What is ((-637)/91)/(1/(2/2))? -7 What is (-182)/147*-6*(-133)/38? -26 What is 51/((-1275)/50)*(-1)/(-2)? -1 What is the value of (-3)/(18/8)*279/(-62)? 6 What is 280/140*4*(-2)/(-4)? 4 ((-8)/57)/((-28)/(-252)*6) -4/19 Calculate ((-5)/25)/(68/1020*6/(-8)). 4 16/(-16)*2/(-2)*15 15 (-5)/18*62/((-3100)/(-6)) -1/30 (((-130)/(-35))/13)/((-20)/28) -2/5 Evaluate (3/2)/(30/2520*9). 14 68/(-6)*23112/(-10914) 24 Calculate (-12)/(-45)*(80/(-4))/4. -4/3 Calculate (28/210)/((-78)/65). -1/9 What is the value of (-10)/(-4)*(-108)/135? -2 Calculate 48/(-20)*1005/(-4824). 1/2 What is (672/(-560))/(-1*4*1)? 3/10 What is the value of ((-23256)/1140)/((-6)/5)? 17 Calculate ((-6)/(-3))/((-605)/55). -2/11 What is the value of (-97)/(9894/(-459))*(8/(-33))/2? -6/11 Evaluate (-3)/((-3)/(-24)*-3)*-1. -8 Evaluate ((-2)/(-6))/((1463/228)/(-11)). -4/7 What is ((-11)/1)/(29*8/116)? -11/2 Evaluate ((-18)/693*3)/(5/(560/(-12))). 8/11 Evaluate (252/35)/12*(-10)/(-12). 1/2 Evaluate (4/77)/((-111)/(-259))*(-77)/(-126). 2/27 What is (-7)/(-2)*((-6)/4)/(483/(-92))? 1 Evaluate (48/64)/(6*2*(-4)/32). -1/2 What is the value of (6/(-20)*-2)/(56/(-168))*10? -18 What is the value of (-25)/((-30)/50*-15*3/27)? -25 What is 28/2128*-19*(-1)/(-8)? -1/32 What is the value of (-2)/5*(-12)/(-24)? -1/5 What is the value of 8/4*94/47? 4 What is the value of 1706/853*6/((-3)/(-1))? 4 What is ((-4)/28*10)/((-3)/(-210)*-25)? 4 What is the value of (2/(-1))/(((-30)/(-16))/(381/508))? -4/5 What is ((-21)/(-4))/(342/456)? 7 (2/2)/((-398)/398) -1 What is the value of ((-8)/(-7))/(6/(-3)*(-49)/686)? 8 Calculate ((-2)/290)/(4/(-40)*(-21)/7). -2/87 Evaluate -10*((-357)/14)/(-17). -15 What is the value of -2*-1*1/16*12/2? 3/4 What is (6/32)/(((-3)/(-5))/((-264)/(-165)))? 1/2 Evaluate ((2/4)/(3745/(-428)))/(6/(-9)). 3/35 What is the value of 2/(-2)*6/9*(-1548)/9976? 3/29 Evaluate 6/(-4)*(-111)/37*(-2)/(-1). 9 What is 180/4*(-186)/930? -9 What is ((-1)/((-50)/(-20)))/((-49)/175)? 10/7 33*36/1944*18 11 Calculate (4/102*50/125)/(28/(-70)). -2/51 ((-22)/396*12)/(1/6) -4 What is (-367)/(-20185)*10/11? 2/121 What is (1640/(-574))/((-3)/21)? 20 What is (-1)/(2*(3/(-4))/(6489/(-206)))? -21 What is (25/675)/((1/3)/((-1)/(-1)))? 1/9 Calculate (2*3)/(-1)*417/834. -3 (-96)/(-128)*(-15)/(-18)*-2 -5/4 ((-5)/35)/(78/84) -2/13 What is (20/200*5)/((-2)/(-52))? 13 Calculate (((-54)/36)/(18/(-4)))/((-1)/14). -14/3 840/(-175)*(-30)/(-9) -16 Calculate (204/306)/(3/36). 8 Evaluate 15/70*(-14)/(-6)*168/(-14). -6 Evaluate 19/(-19)*(-7)/14*54. 27 (2/(-2))/((-170)/(-2210)) -13 Evaluate (-990)/(-1155)*(-210)/(-162). 10/9 Evaluate 1393/398*((-18)/105)/2. -3/10 (-1*1)/(-3*-5*6/210) -7/3 1*9*14*(-14)/(-196) 9 8/(-7*(-14)/(-245)) -20 What is the value of 26/(-4)*27/((-945)/(-70))? -13 What is 162/36*(-110)/66*28/10? -21 What is ((-32)/30)/(332/(-249))? 4/5 What is the value of ((-252)/210)/(-3)*(-45)/(-42)? 3/7 Calculate 4*2*((-2)/130)/((-60)/225). 6/13 What is the value of (10/(-10))/(((-216)/(-204))/(-18))? 17 Evaluate ((-3)/(126/4))/((-2346)/(-1173)). -1/21 ((-33715)/(-1839))/(10*3/36) 22 What is the value of (304/(-532))/(6/14)? -4/3 What is the value of 4*((-75)/(-10))/3*4/(-100)? -2/5 (6/(-1))/((-256)/384) 9 Evaluate -1*19*1*-102*27/(-2754). -19 What is the value of (1/5)/(8/(-48)*(-16)/(-60))? -9/2 What is (-234)/52*(-40)/18? 10 What is (17/(-51)*-9)/(3/(-13))? -13 Evaluate (-1)/5*2*10*(-390)/120. 13 (2*-1)/4*22*(-5)/5
{ "pile_set_name": "DM Mathematics" }
p**2 - 38*p - 177. Give b(-11). -1 Let q(z) = -3*z**2 + 161*z + 723. Calculate q(58). -31 Let h(n) = 2*n**3 + 94*n**2 - 81*n + 738. What is h(-48)? 18 Let p(q) = 313*q**2 + 14090*q + 221. Calculate p(-45). -4 Let q(j) = j**3 + 58*j**2 - 374*j - 13. Calculate q(6). 47 Let d(u) = -299*u + 238. Calculate d(3). -659 Let p(u) = -4*u**2 + 27*u - 53. Calculate p(4). -9 Let t(c) = -c**2 + 4*c + 203. Give t(14). 63 Let w(u) = -u**3 + 15*u**2 - 3*u - 24. Determine w(16). -328 Let d(r) = 623*r**2 - 2499*r + 10. Calculate d(4). -18 Let p(g) = 167*g - 2007. Calculate p(12). -3 Let n(j) = -j**2 - 32*j - 65. Calculate n(-32). -65 Let s(v) = 5*v**2 - 14*v + 128. Calculate s(0). 128 Let v(c) = -132*c - 7886. Give v(-60). 34 Let n(x) = -x**2 + 23*x + 26. What is n(14)? 152 Let l(b) = b**2 - 102*b + 2068. What is l(44)? -484 Let x(g) = 3223*g + 29001. Determine x(-9). -6 Let t(f) = -f**2 - 10*f - 44. Determine t(-6). -20 Let r(q) = q**3 - q**2 - 4*q - 129. Determine r(11). 1037 Let n(u) = -u**3 + 8*u**2 - 10*u - 44. What is n(9)? -215 Let h(x) = -338*x - 240. Calculate h(-3). 774 Let k(u) = -116*u - 1118. Determine k(-9). -74 Let p(r) = r**2 + 31*r - 357. Determine p(9). 3 Let a(m) = 3*m**2 - 334*m + 666. What is a(2)? 10 Let x(m) = m**3 - 42*m**2 + 78*m + 67. Give x(40). -13 Let u(r) = -3*r**3 - 3*r**2 - 73*r - 150. Give u(-2). 8 Let k(v) = -3*v**2 - 25*v - 1. What is k(-8)? 7 Let y(s) = 70*s - 206. Give y(3). 4 Let h(j) = 472*j + 164720. Calculate h(-349). -8 Let a(w) = w**3 - 32*w**2 + 71*w - 24. Calculate a(2). -2 Let y(w) = 56*w + 151. Give y(-5). -129 Let m(u) = -17*u + 130. What is m(8)? -6 Let x(z) = 19*z + 473. What is x(-21)? 74 Let a(n) = -72*n - 18. Determine a(-3). 198 Let o(t) = -t**3 - 29*t**2 - 185*t - 2011. What is o(-25)? 114 Let q(j) = 3*j**2 - 125*j - 445. Give q(45). 5 Let w(y) = -2*y**3 + 18*y**2 + 37*y - 6. Give w(10). 164 Let p(w) = w**3 + 6*w**2 + 7*w + 164. Give p(-8). -20 Let k(b) = -b**3 + 7*b**2 - 95*b + 476. Determine k(5). 51 Let j(u) = -3*u**2 + 67*u + 471. Determine j(28). -5 Let x(f) = 3*f**3 - 3*f**2 + 43*f + 46. Give x(-1). -3 Let r(k) = 67*k**2 - 137*k + 138. Give r(1). 68 Let q(f) = -1360*f - 9488. Determine q(-7). 32 Let v(m) = -m**3 + 22*m**2 - 111*m - 21. What is v(14)? -7 Let g(r) = 139*r - 9032. Give g(65). 3 Let w(s) = 262*s**2 + 3927*s - 37. Give w(-15). 8 Let o(s) = -s**3 - 130*s**2 + 1706*s - 38. Calculate o(12). -14 Let i(s) = -723*s - 7231. Determine i(-10). -1 Let n(c) = -3*c**2 + 6*c - 49. Give n(8). -193 Let t(s) = 138*s - 16. What is t(5)? 674 Let p(o) = 2*o**3 - o**2 - 18*o - 2. Give p(5). 133 Let l(k) = -3*k**2 - 94*k - 530. What is l(-8)? 30 Let s(k) = k**3 + 44*k**2 + 80*k - 281. What is s(-42)? -113 Let m(a) = -4*a**3 + 16*a**2 - 69*a + 1. Give m(5). -444 Let a(u) = -9*u - 247. Calculate a(33). -544 Let g(l) = 9*l**2 - 60*l + 6. Determine g(7). 27 Let v(s) = -206*s**2 - 2657*s + 266. Calculate v(-13). -7 Let x(o) = -14*o - 231. Determine x(-28). 161 Let l(k) = k**2 - 79*k - 856. Calculate l(90). 134 Let c(x) = -2663*x + 2615. Give c(1). -48 Let p(l) = -77*l - 1962. Give p(-27). 117 Let t(h) = -52*h + 1059. Determine t(20). 19 Let u(p) = -456*p + 4402. Calculate u(9). 298 Let v(f) = -3*f**2 - 67*f + 10. Calculate v(-20). 150 Let g(b) = 13*b**2 - 78*b + 4. What is g(6)? 4 Let z(q) = -5*q**3 + 7*q**2 + 51*q - 244. Calculate z(5). -439 Let z(h) = 63*h**2 + 29*h - 56. Calculate z(2). 254 Let j(h) = 63*h - 1959. What is j(27)? -258 Let s(x) = x**2 - 94*x - 14705. What is s(-83)? -14 Let u(i) = i**3 + 13*i**2 + 114*i + 1034. What is u(-11)? 22 Let y(v) = 49*v + 331. Give y(-9). -110 Let r(t) = 2452*t - 169186. Calculate r(69). 2 Let s(m) = m**3 + 27*m**2 - 67*m + 29. Determine s(-29). 290 Let a(c) = 5482*c - 49342. Determine a(9). -4 Let a(y) = y**2 + 51*y - 1795. What is a(-75)? 5 Let d(u) = -2*u**3 - 28*u**2 - 15*u + 32. Give d(-14). 242 Let s(n) = n**3 + 31*n**2 - 51*n - 633. Calculate s(-32). -25 Let x(q) = -259*q**2 + 47917*q - 380. Give x(185). -10 Let m(a) = -2*a**3 + 9*a**2 + 35*a - 167. Calculate m(5). -17 Let z(b) = -2046*b + 22508. Determine z(11). 2 Let a(h) = -h**3 - 22*h**2 + 775*h - 171. What is a(-41)? -7 Let o(n) = n**2 + 40*n - 464. Calculate o(-51). 97 Let s(w) = 6*w**2 - 428*w - 10. Determine s(71). -152 Let z(k) = -k**3 - 6*k**2 + 26*k + 138. Determine z(-7). 5 Let t(j) = -5344*j + 154974. What is t(29)? -2 Let n(o) = 2*o**2 - 6*o + 24. Give n(3). 24 Let f(s) = 15*s - 106. Calculate f(5). -31 Let h(v) = 528*v - 42777. What is h(81)? -9 Let x(l) = -16*l**2 + 43*l - 163. Calculate x(5). -348 Let y(v) = v**3 + 15*v**2 + 21*v + 207. Determine y(-16). -385 Let h(q) = -5*q**2 + 129*q - 784. Give h(7). -126 Let j(t) = -99*t - 9205. What is j(-93)? 2 Let g(s) = -s**2 - 136*s + 11. What is g(-136)? 11 Let z(v) = 6110*v - 12221. Calculate z(2). -1 Let u(w) = -3*w**3 - 91*w**2 - 10*w + 13. Determine u(-30). -587 Let b(z) = -252*z**3 - 2*z**2 + 9*z + 10. What is b(-1)? 251 Let d(g) = -164*g + 942. Determine d(6). -42 Let b(i) = i**3 + 35*i**2 - 38*i + 56. Give b(-36). 128 Let p(n) = -91*n**3 + 3*n**2 + 5*n - 8. What is p(1)? -91 Let d(l) = -l**3 + 32*l**2 - 252*l + 6. Determine d(11). -225 Let k(w) = w**3 - 68*w**2 + 62*w + 158. Give k(67). -177 Let l(v) = -v**3 - 27*v**2 - 132*v + 14. Determine l(-7). -42 Let j(s) = -9*s**2 - 578*s + 1683. What is j(-67)? 8 Let o(g) = -g**2 + 162*g - 5351. Calculate o(115). 54 Let w(g) = 2*g**3 - g**2 - 189*g - 3. Give w(0). -3 Let u(j) = 980*j + 7835. Give u(-8). -5 Let c(k) = k**3 + 29*k**2 + 11*k + 345. Give c(-29). 26 Let n(l) = 228*l + 14346. Calculate n(-63). -18 Let f(w) = 291*w - 3090. Give f(11). 111 Let y(i) = -i**3 - 54*i**2 - 102*i + 349. What is y(-52)? 245 Let z(b) = -14*b - 147. Determine z(-25). 203 Let b(m) = -m**3 + 33*m**2 + 86*m + 408. What is b(36)? -384 Let u(s) = -144*s + 57. Determine u(-2). 345 Let n(w) = 2*w**3 - 2*w**2 - 27*w - 84. What is n(5)? -19 Let y(w) = -361*w + 9391. Give y(26). 5 Let q(i) = -i**3 - 8*i**2 - i + 5. What is q(-8)? 13 Let i(q) = -2*q**3 + 46*q**2 + 7*q - 132. Determine i(23). 29 Let w(a) = -a**2 + 113*a + 5753. Give w(-38). 15 Let r(c) = -115*c - 1947. Give r(-17). 8 Let l(g) = 4*g**2 + 113*g + 630. Give l(-21). 21 Let v(z) = 5*z - 32. What is v(12)? 28 Let z(h) = 61*h + 1629. What is z(-27)? -18 Let g(m) = m**2 + 2280*m + 22699. Give g(-10). -1 Let l(k) = -17*k + 446. Give l(26). 4 Let q(u) = -6*u + 46. What is q(25)? -104 Let x(l) = 40*l**2 - 467*l + 685. What is x(10)? 15 Let p(r) = 4*r**3 + 29*r**2 - r - 54. What is p(-7)? 2 Let p(b) = -16*b**2 - 36*b - 32. Give p(-2). -24 Let r(n) = -10*n**2 + 9*n - 44. Determine r(7). -471 Let f(a) = 75*a - 882. Calculate f(6). -432 Let x(b) = -3*b**2 + 18*b - 24. Calculate x(9). -105 Let x(f) = -105*f**2 - 21*f - 21. Determine x(-1). -105 Let k(f) = -2*f**3 + 21*f**2 + 59*f + 41. Give k(12). 317 Let t(j) = j**2 - 15*j + 8. Determine t(16). 24 Let f(a) = a**3 + 9*a**2 + 2*a + 103. Calculate f(0). 103 Let l(c) = 239*c - 2614. Calculate l(11). 15 Let v(o) = -75*o - 5727. What is v(-74)? -177 Let n(h) = 94*h - 710. Calculate n(6). -146 Let b(t) = t**2 - 228*t + 25. What is b(0)? 25 Let v(k) = -33*k**3 + 196*k**2 + 14*k - 4. What is v(6)? 8 Let n(y) = y**3 + 173*y**2 - 174*y + 5. What is n(-174)? 5 Let k(t) = t**2 - 1507*t - 42987. What is k(-28)? -7 Let c(r) = -2*r**3 - 156*r**2 + 154*r - 464. Calculate c(-79). -148 Let d(p) = p**2 - 22*p - 2073. Give d(58). 15 Let t(d) = d**3 + 12*d**2 + 8*d - 11. Give t(-11). 22 Let f(q) = -2*q**2 - 100*q + 501. Give f(-54). 69 Let z(s) = s**2 + 20*s + 10. Calculate z(-25). 135 Let d(w) = w**2 - 42*w - 4177. Calculate d(-47). 6 Let k(w) = w**3 + 87*w**2 + 179*w + 935. What is k(-85)? 170 Let b(i) = 5*i**3 + 28*i**2 + 40*i + 308. Give b(-6). -4 Let r(y) = y**3 + 16*y**2 - 19*y - 5. Give r(-17). 29 Let c(x) = 376*x - 3381. Determine c(9). 3 Let a(p) = -p**3 - 18*p**2 - 9*p + 625. Calculate a(-15). 85 Let a(q) = -q**2 + 105*q - 1331. Give a(90). 19 Let l(q) = -66*q - 1333. What is l(-20)? -13 Let r(l) = l**3 - 16*l**2 + 198*l - 2388. Give r(14). -8 Let g(v) = -14*v**3 - v**2 - 52*v + 51. Give g(1). -16 Let w(t) = 1689*t + 60806. Give w(-36). 2 Let s(l) = -12*l - 45. What is s(-19)? 183 Let c(r) = -2*r**3 - 29*r**2 + 153*r + 2333. What is c(-14)?
{ "pile_set_name": "DM Mathematics" }
imal places? -0.06 Let o be (-331200)/63*150/8*280. Round o to the nearest 1000000. -28000000 Let c = 4.6 + -9. Let j = -4.40131 - c. Round j to 4 decimal places. -0.0013 Let x = -509.467 - -510. Let a = x - 0.533000714. Round a to 7 decimal places. -0.0000007 Let k = 0.039 + 0.921. Let j = 1 - k. Let a = j + -0.040014. Round a to 5 decimal places. -0.00001 Suppose -3*z + 12 + 12 = 0. Suppose -4*t = 5*s - z*t - 150016, -4*s + 120008 = -2*t. What is s rounded to the nearest 100000? 0 Let n(t) = -9*t**2 + 3*t - 90. Let h be n(10). Round h to the nearest one thousand. -1000 Let d(k) = k**2 - 13*k + 32. Let a be d(11). Suppose -a*c + 29410084 = -10689916. Round c to the nearest one hundred thousand. 4000000 Let d be (-1 + 9)*(-92388230)/(-8). Suppose 4*c + 32703977 = 2*r - 41206625, -5*r = 5*c + d. Let g = c - -34077649. What is g rounded to the nearest 1000000? 16000000 Suppose 12*c - 175201 - 36251 = 0. Suppose 4*d + 429595 = -5*l, -d - c = -4*l + 89783. What is d rounded to the nearest 10000? -110000 Let d = -5 - -23. Let o = 17.962 - d. What is o rounded to 2 dps? -0.04 Let a = -6974.3319318 + 6973.96. Let v = 0.372 + a. Round v to 5 dps. 0.00007 Let q = 1.463 - -0.047. Let d = -0.141 - -0.051. Let g = d - q. Round g to 0 decimal places. -2 Let w = 625 + -627.69. Let f = w - -0.14. Round f to 1 dp. -2.6 Let d = 0.095 + 60.905. Let b = -60.9999882 + d. Round b to six dps. 0.000012 Suppose -3*y - 5*v + 1722316 = -12773699, y - 4*v - 4831988 = 0. Round y to the nearest 1000000. 5000000 Suppose -n + 56442 + 16629 = 0. Let u = -136071 + n. Round u to the nearest ten thousand. -60000 Let i = 119 - 60. Let p = -51.82 + i. Let b = p - 5.8. What is b rounded to one dp? 1.4 Let a = 0.2062454 + -0.206. What is a rounded to 4 decimal places? 0.0002 Let i = -264.4558963 - -263.01591. Let d = 1.44 + i. What is d rounded to six dps? 0.000014 Let h = -2.899965 - -2.9. Round h to five decimal places. 0.00004 Let p = -4521 + 4523.269. What is p rounded to one decimal place? 2.3 Let j = -502.77 + 481.9. Round j to the nearest integer. -21 Let o = -652.46 + 632. Let p = o + -0.54. Let a = p + 20.99999967. Round a to 7 decimal places. -0.0000003 Let z = -932 - -847. Round z to the nearest 10. -90 Let p = 431622.0126 + -431724. Let m = -102.15 + 0.15. Let f = p - m. Round f to 3 dps. 0.013 Let x(a) = a**2 + a + 55. Let i be x(-16). Round i to the nearest 10. 300 Suppose -y + 1388 = -307. Round y to the nearest 100. 1700 Let d = -13.937 - -14.3. Let r = -5 + 5.35. Let m = d - r. What is m rounded to three dps? 0.013 Let z = 88.3565135 + -71.556477. Let b = -16.8 + z. Round b to six decimal places. 0.000037 Suppose 3*n = -3*r - 90612, 5*n - 71761 + 222753 = 2*r. Round n to the nearest 1000. -30000 Let s = 25922894 - 46612894. Round s to the nearest 1000000. -21000000 Suppose -3*a = -13*a + 60. Suppose -a*i = -911 - 1189. What is i rounded to the nearest one hundred? 400 Let d = 176.91 + -176. Let g = 0.9103 - d. What is g rounded to 3 decimal places? 0 Let p = -1101.0983 - -1101. What is p rounded to 2 decimal places? -0.1 Let o = -1576 + 1840.8. Round o to the nearest ten. 260 Let p = 350.9637 - -0.0363. Let q = 21045133555.99999783 + -21045133907. Let c = p + q. What is c rounded to seven decimal places? -0.0000022 Let d = 2991428 - 2991451.99994. Let c = 11.9 - -12.1. Let f = d + c. Round f to 4 decimal places. 0.0001 Let n = 32.58 - 31.8. Let c = -0.31 + 0.01. Let a = n + c. What is a rounded to one decimal place? 0.5 Suppose 5*w + 22 + 3 = -k, w + 5 = k. Suppose k*r - 7*r = -1554000. Round r to the nearest 10000. 220000 Let u = 86 - -11. Let s = u + -96.935. Round s to 2 decimal places. 0.07 Let d be -1 + 5/20*4. Suppose 5*w - 8 - 2 = d, -4*w - 283992 = -4*r. Round r to the nearest ten thousand. 70000 Let f(t) = -5315*t**3 - 5*t**2 - 6*t - 5. Let v be f(5). Let h = 439535 + v. Round h to the nearest ten thousand. -230000 Suppose -22*v - 80539419 = -5541419. Round v to the nearest one hundred thousand. -3400000 Let w = -144.888 + 146. Let n = w - 1. What is n rounded to two dps? 0.11 Let m = -5567 - -5543.29. Let w = 24 + m. Let v = w + -0.290052. Round v to 5 decimal places. -0.00005 Let q = -614 + 373. Let z = 274 - q. Let t = z - 515.000217. What is t rounded to 5 decimal places? -0.00022 Let r be ((-30630)/(-7))/1 - 12/(-42). Let n = 45624 + r. Round n to the nearest 1000000. 0 Let x = -0.7389 - -76.2089. Round x to the nearest 10. 80 Let d = 832.0000889 + -832. What is d rounded to five dps? 0.00009 Suppose -742263 = t + z, -2*z + 285959 = 3*t + 2512746. Let k = t + -7757739. Round k to the nearest one million. -9000000 Let o = 270.052 - 270. Let d = -6336.92100146 - -6336.869. Let x = d + o. Round x to 7 decimal places. -0.0000015 Let x = -402.9631 - 0.0369. Let w = x - -403.0529. Let y = w - 0.045. What is y rounded to 3 dps? 0.008 Let i = -1306.209 - -1307. What is i rounded to one decimal place? 0.8 Let i = 143 + -227. Let v = 64 - i. Let j = 133.1 - v. Round j to the nearest integer. -15 Let h = 28385 - -3815. Round h to the nearest 10000. 30000 Suppose -7 = -2*o + 41. Let x = o - 22. Suppose x*l - 3552652 = -2*u - 15952660, 24800020 = -4*u - 5*l. Round u to the nearest 1000000. -6000000 Let o = -0.013 - 0.053. Let j = -0.266 - o. Round j to the nearest integer. 0 Let m = 1791.01912 - 1791. Round m to two decimal places. 0.02 Suppose -18*y + 6747906 = -12087294. Round y to the nearest one hundred thousand. 1000000 Let v(y) = 58000*y**2 - y + 1. Suppose 7 = 5*d + 2. Let t be v(d). Round t to the nearest 10000. 60000 Let f = -4.03 + 4.3304. Let k = 15 - 14.7. Let v = f - k. What is v rounded to three decimal places? 0 Let d(i) = 4344*i**3 + 13*i**2 - 10*i + 7. Let g be d(19). Suppose -2*v - 2*u = g, -5*u = -3 + 18. Round v to the nearest 1000000. -15000000 Let u = -5.280818 - -5.28. Round u to four decimal places. -0.0008 Let u = 287.30002187 + -287.3. Round u to six decimal places. 0.000022 Let p = -0.03813 - 0.26997. Round p to two decimal places. -0.31 Let r = -128.00003076 + 128. Round r to 5 dps. -0.00003 Let t = -328.00301 + 328. Round t to four dps. -0.003 Let z = 19.100691 - 19.1. What is z rounded to three dps? 0.001 Suppose 2380 = -o + 4*j, o + 0*j + 2390 = 2*j. Let v be -9 + 0/(-2) + 3/1. Let u be (470/v)/(2/o). Round u to the nearest 10000. 90000 Let f(b) = -15 - 7 + 1 - 3*b + b**2. Let r be f(7). Round r to the nearest integer. 7 Let o = 0.08 - 0.09. Let g = 0.002 + o. Let t = g - 0.0028. Round t to 3 dps. -0.011 Let x = -16297937.92 + 16297943.658890374. Let b = 0.261108176 + x. Let r = b + -6. What is r rounded to seven decimal places? -0.0000015 Let h(i) = 27199*i + 5. Let o be ((3 + -4)/(4/20))/(-1). Let n be h(o). Round n to the nearest ten thousand. 140000 Let d = 0.336 - 0.484. What is d rounded to 1 decimal place? -0.1 Let b = -14 - -19. Suppose -b*t + 6781 = 2231. What is t rounded to the nearest one hundred? 900 Let b = 0.338 + 2.132. What is b rounded to one dp? 2.5 Let z = -835 - -849.56. What is z rounded to zero dps? 15 Suppose 57*p = 65*p + 480240000. What is p rounded to the nearest 1000000? -60000000 Let z = 4.3 + -4.45. Let m = 61.834 + -62. Let b = m - z. Round b to two dps. -0.02 Let h = -87924 - 482076. What is h rounded to the nearest one hundred thousand? -600000 Let q = -24.5 - -150.5. Let u = q - 73. Let p = 53.27 - u. What is p rounded to one decimal place? 0.3 Let p be 2/(12/(-20675998)) - (-33)/(-99). What is p rounded to the nearest 100000? -3400000 Let p = -410 + 265. Let o = p + 253. Let h = o + -108.0000081. Round h to six dps. -0.000008 Let i(c) = 328056*c - 600. Let q be i(-25). What is q rounded to the nearest one million? -8000000 Let g = 651489.502831 - 651485.6. Let s = 3.4816 - g. Let w = 0.421 + s. What is w rounded to 5 decimal places? -0.00023 Let i = -1.56 + 0.36. Let z = i - -2. Round z to 1 dp. 0.8 Suppose 50*c + 209635 = 45*c - 3*z, -5*z - 125765 = 3*c. What is c rounded to the nearest one thousand? -42000 Let t(d) = 2*d**2 - 6*d - 20. Let k be t(5). Suppose k = 2*y + 470716 + 25329284. What is y rounded to the nearest 1000000? -13000000 Let g be 389/(3/8001*-3). Let c = g - -45821. What is c rounded to the nearest 100000? -300000 Suppose 3*q - 140713613 + 21564965 = 0. Let j = q - 56516216.
{ "pile_set_name": "DM Mathematics" }
t from mnvlmvlvvmvl? 1/22 What is prob of picking 1 o and 3 r when four letters picked without replacement from orrrwouourrorrrrulr? 40/323 Two letters picked without replacement from slcglllgglgllscl. What is prob of picking 1 c and 1 s? 1/30 Calculate prob of picking 1 x and 1 h when two letters picked without replacement from thmxxxxxaaa. 1/11 What is prob of picking 4 s when four letters picked without replacement from ssss? 1 What is prob of picking 1 q, 1 o, 1 y, and 1 b when four letters picked without replacement from boyqqqwqqyybqybb? 24/455 What is prob of picking 2 v when two letters picked without replacement from {v: 5, h: 9}? 10/91 Calculate prob of picking 1 s and 3 p when four letters picked without replacement from pwppswwwppwpwsw. 8/273 Calculate prob of picking 1 h and 2 m when three letters picked without replacement from mxkdhlkm. 1/56 What is prob of picking 1 y and 1 p when two letters picked without replacement from {h: 1, f: 4, t: 2, y: 1, w: 3, p: 1}? 1/66 Three letters picked without replacement from xxzxazxnzxzxuamuum. What is prob of picking 1 x, 1 n, and 1 z? 1/34 Three letters picked without replacement from {r: 2, l: 2, a: 4, w: 1}. What is prob of picking 2 r and 1 w? 1/84 Four letters picked without replacement from {r: 3, k: 3, u: 12}. What is prob of picking 1 u, 2 k, and 1 r? 3/85 Three letters picked without replacement from {h: 10, a: 4}. Give prob of picking 3 a. 1/91 Calculate prob of picking 2 f and 2 x when four letters picked without replacement from ofonfxoxffff. 1/33 Two letters picked without replacement from {y: 14, p: 5}. Give prob of picking 1 y and 1 p. 70/171 What is prob of picking 2 m and 1 f when three letters picked without replacement from mjfjgjjgmjjmjfjjffj? 4/323 Four letters picked without replacement from egceewgcwgece. Give prob of picking 1 e, 1 w, and 2 c. 6/143 Four letters picked without replacement from {m: 1, s: 4, b: 5, w: 1}. What is prob of picking 1 w and 3 b? 1/33 Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {l: 2, v: 2, a: 5, p: 4}. 10/39 Two letters picked without replacement from mgmmgmgggm. Give prob of picking 2 g. 2/9 What is prob of picking 2 y and 1 j when three letters picked without replacement from {y: 2, j: 9}? 3/55 Four letters picked without replacement from {q: 2, m: 2, i: 2, f: 1, p: 3, u: 2}. What is prob of picking 1 m, 1 p, and 2 u? 2/165 Calculate prob of picking 1 x and 1 n when two letters picked without replacement from {y: 3, n: 4, m: 3, x: 4}. 16/91 What is prob of picking 1 n and 1 t when two letters picked without replacement from mmmnnnntmtntmmn? 6/35 What is prob of picking 4 t when four letters picked without replacement from tpttttttttptt? 6/13 Calculate prob of picking 2 c when two letters picked without replacement from {z: 9, u: 2, c: 3, o: 1, n: 2}. 3/136 What is prob of picking 1 g and 1 r when two letters picked without replacement from grerere? 1/7 Two letters picked without replacement from {y: 1, q: 1, t: 4, j: 3, z: 3, l: 6}. What is prob of picking 1 z and 1 l? 2/17 Two letters picked without replacement from {j: 3, b: 1, l: 1, i: 10, h: 5}. What is prob of picking 1 l and 1 b? 1/190 Four letters picked without replacement from {z: 1, t: 11, o: 5}. What is prob of picking 3 o and 1 z? 1/238 Calculate prob of picking 1 j, 1 y, and 2 i when four letters picked without replacement from jjijyyjiiiijijij. 21/130 Calculate prob of picking 1 k, 1 d, and 1 j when three letters picked without replacement from {h: 1, k: 1, b: 2, d: 1, j: 1, m: 1}. 1/35 Three letters picked without replacement from {o: 3, j: 6, z: 3, m: 2, f: 2}. What is prob of picking 3 o? 1/560 What is prob of picking 1 p and 1 h when two letters picked without replacement from {h: 2, b: 1, p: 1, r: 3}? 2/21 What is prob of picking 2 p and 2 q when four letters picked without replacement from qpsqp? 1/5 What is prob of picking 2 h and 1 c when three letters picked without replacement from {l: 1, c: 1, p: 1, f: 1, m: 1, h: 2}? 1/35 Two letters picked without replacement from lwwwlwlwwl. Give prob of picking 1 l and 1 w. 8/15 Three letters picked without replacement from {x: 1, q: 2, p: 1, w: 1, z: 2}. Give prob of picking 2 q and 1 x. 1/35 Calculate prob of picking 3 y when three letters picked without replacement from rllylrlrylvylvvvryv. 4/969 What is prob of picking 1 g, 1 p, and 1 d when three letters picked without replacement from {p: 1, g: 1, j: 1, v: 1, d: 2, m: 1}? 2/35 Four letters picked without replacement from occedeeeco. Give prob of picking 2 c, 1 d, and 1 o. 1/35 What is prob of picking 3 z when three letters picked without replacement from {b: 2, z: 6}? 5/14 Two letters picked without replacement from {u: 3, k: 3, d: 1}. Give prob of picking 1 d and 1 u. 1/7 What is prob of picking 3 q and 1 b when four letters picked without replacement from {b: 4, d: 11, q: 4}? 4/969 What is prob of picking 1 j, 2 k, and 1 g when four letters picked without replacement from kjjekjg? 3/35 Four letters picked without replacement from dxdddxdxxd. What is prob of picking 2 d and 2 x? 3/7 Two letters picked without replacement from {f: 6, l: 3, n: 2, z: 1}. What is prob of picking 2 l? 1/22 Calculate prob of picking 2 y and 1 r when three letters picked without replacement from ryyyyyyyyrrrryrrrr. 27/68 Three letters picked without replacement from kzik. Give prob of picking 2 k and 1 i. 1/4 Four letters picked without replacement from {z: 4, u: 1, s: 1, y: 2, t: 3}. What is prob of picking 1 t, 1 s, and 2 y? 1/110 Three letters picked without replacement from {s: 4, c: 6, t: 5}. What is prob of picking 2 s and 1 t? 6/91 What is prob of picking 1 j, 1 m, and 2 d when four letters picked without replacement from {d: 6, j: 4, m: 1, q: 2}? 12/143 Calculate prob of picking 2 k when two letters picked without replacement from fkzkz. 1/10 Three letters picked without replacement from nnollnlnn. What is prob of picking 2 l and 1 n? 5/28 Two letters picked without replacement from {p: 11, m: 2}. What is prob of picking 2 m? 1/78 Three letters picked without replacement from pxpppxl. What is prob of picking 2 p and 1 l? 6/35 Three letters picked without replacement from gagzgtgteatazgttzxt. What is prob of picking 2 g and 1 x? 10/969 Four letters picked without replacement from {u: 6, t: 8, g: 1}. What is prob of picking 1 g, 1 u, and 2 t? 8/65 Two letters picked without replacement from ksggskkgksgkgkg. What is prob of picking 2 s? 1/35 What is prob of picking 2 y and 1 m when three letters picked without replacement from mgyffyfgggyfggggmg? 1/136 What is prob of picking 1 x, 1 h, 1 k, and 1 s when four letters picked without replacement from {s: 1, x: 2, m: 1, h: 3, k: 4}? 4/55 Calculate prob of picking 1 h and 3 r when four letters picked without replacement from rhrhrrhhrrrhrrrr. 165/364 Two letters picked without replacement from nphvnsdd. What is prob of picking 1 p and 1 s? 1/28 Three letters picked without replacement from bbbbbbbfoobfbb. What is prob of picking 1 f and 2 o? 1/182 What is prob of picking 2 t and 1 f when three letters picked without replacement from bbjbjbbjkbtbbfjtfj? 1/408 Four letters picked without replacement from ytilaiiyliyiiiyl. What is prob of picking 1 a, 1 t, 1 l, and 1 y? 3/455 Three letters picked without replacement from oeoe. Give prob of picking 2 e and 1 o. 1/2 Calculate prob of picking 1 h and 1 l when two letters picked without replacement from uhuhluhuhlhh. 2/11 What is prob of picking 1 j and 1 e when two letters picked without replacement from {j: 2, e: 4, u: 1}? 8/21 Calculate prob of picking 2 l and 1 z when three letters picked without replacement from zzlzllj. 9/35 Calculate prob of picking 2 t when two letters picked without replacement from {t: 7, h: 2}. 7/12 Calculate prob of picking 2 l and 1 v when three letters picked without replacement from {i: 1, x: 11, v: 2, l: 2}. 1/280 Two letters picked without replacement from sssssisisiissssisss. What is prob of picking 1 s and 1 i? 70/171 Two letters picked without replacement from eeeeteeeeel. What is prob of picking 2 e? 36/55 Four letters picked without replacement from {k: 1, c: 8, y: 5, m: 4}. Give prob of picking 2 y, 1 c, and 1 k.
{ "pile_set_name": "DM Mathematics" }
+ 13182. Is g a multiple of 54? True Let w = -28564 - -48164. Is 14 a factor of w? True Let d = 94387 + -50730. Does 293 divide d? True Let g(v) = -6*v**2 - 11*v + 59. Let l(u) = -3*u**2 - 5*u + 30. Let o(z) = -6*g(z) + 11*l(z). Is 32 a factor of o(8)? True Suppose 5*r + 2*w - 1464 = 0, -r + 2*w = 43 - 343. Does 3 divide r? True Suppose -15693 = -5*r + 3*d, -r - 105*d + 104*d + 3137 = 0. Does 6 divide r? True Let v(t) = 7*t**3 + 3*t - 2. Suppose 0 = 12*p - 8*p - 4. Let j be v(p). Is 15 a factor of j/(-14) - 16101/(-63)? True Suppose h - 3947 = -3*w, -3*h = -6*h + 4*w + 11919. Does 4 divide h? False Let m(i) = 3*i**2 + 6*i + 15. Let j be m(-8). Suppose -v - j = 165. Does 16 divide (v/15 + 2)/(1/(-5))? False Let k(c) = -3*c + 283. Let y be 148*(-2)/(-4)*(-3)/(-6). Does 18 divide k(y)? False Let k(l) = -9*l**3 + 8*l**2 + 30*l + 20. Is 35 a factor of k(-8)? True Let t(j) = 24*j + 25. Let p(o) = -o**3 - o**2. Let h be p(-1). Suppose h = 5*a + 5*f - 3*f - 38, 8 = 2*a - f. Is t(a) a multiple of 13? True Let d = -29 + 77. Let i = 100 + 8. Let c = i - d. Does 12 divide c? True Suppose 4*k - 2*l = 23568, 383*k + 2*l = 380*k + 17655. Is k a multiple of 151? True Let c(k) = -2*k**3 + k**2 + 16*k + 302. Is c(0) a multiple of 11? False Let b = 145920 + -63428. Is 14 a factor of b? False Let t = -747 - -1314. Is t a multiple of 21? True Let w(d) = 33*d**2 - 549*d - 8. Is w(17) a multiple of 115? False Suppose 0 = 17*q - 19*q + 412. Suppose q = 4*r - 3*r. Does 32 divide r? False Let b(j) = -2*j + 42. Let i be 62/(-2)*(-11 + 27 - 15). Does 14 divide b(i)? False Suppose -12211 = -3*z + z - 5*u, -4*z + 4*u + 24492 = 0. Is 23 a factor of z? True Let l(v) = 243*v**2 - 520*v + 70. Is 71 a factor of l(10)? True Let m(n) = 8714*n - 202. Is 76 a factor of m(1)? True Let f(x) = 1781*x**3 + x**2 + 21*x - 50. Is f(2) a multiple of 13? False Let i = 96 + -93. Let m be (-1)/2 - 5481/(-2). Is m/30 - (-1)/i*-1 a multiple of 13? True Let x(f) = -2*f + 23. Let n be x(9). Suppose 0 = q - 3*w + 8 - 29, q = n*w + 27. Is ((-5)/4)/((-3)/q) even? False Let z be 5*((-24)/(-10))/(-1). Let v(s) = 4 + 251*s**2 - 12*s - s - 80*s**2 - 87*s**2 - 85*s**2. Is v(z) a multiple of 4? True Let w(m) = m. Let f be w(4). Let k(p) = 2*p**2 - 5*p - 2. Does 3 divide k(f)? False Let w(a) = 30*a + 637. Let f be w(0). Let c = -469 + f. Does 24 divide c? True Let l be 11/4*-2 - 2/4. Let g be (-4 - -2)*l/(-4). Let v(a) = -3*a**3 + a**2 + 2*a. Does 42 divide v(g)? True Let l(r) = -r**2 + 16*r - 38. Let s be l(13). Let u be 6/(-2 - 4)*(s + -5). Is 11 a factor of (17 + -6)/(u/3 + -1)? True Let p = -126 - -125. Let t(n) = 719*n**2 + 4*n + 2. Is t(p) a multiple of 17? False Let f(a) = 4*a**3 + 3*a**2 - 4*a - 8. Let l be -2*3/(-15)*(12 + -2). Let p be f(l). Is 34 a factor of (-4)/(4 + p/(-68))? True Suppose -3*c + 25083 = 8*j - 5*j, -25075 = -3*c - 4*j. Is c a multiple of 35? False Let a(k) = k**3 + 4*k**2 - 7*k + 22. Let m be a(10). Suppose 2*r + 860 = 5*f - 1392, 3*f = r + m. Let b = -317 + f. Is 15 a factor of b? True Let d(y) = 15*y + 105. Let s be d(-6). Suppose -26*a = -s*a - 869. Is a a multiple of 19? False Let p(q) = 3*q + 13. Let k be p(-3). Suppose -2*y - 2*a = -81 - 71, -k*a - 8 = 0. Is (y/15)/(2/5) a multiple of 3? False Is (-3)/((-6)/(-265))*(-176)/10 a multiple of 11? True Let s = -14613 + 19923. Does 3 divide s? True Suppose 0*g - 16*g + 752 = 0. Suppose 49*w - g*w = 68. Is 34 a factor of w? True Suppose -217080 = -28*n + 11*n + 2*n. Does 152 divide n? False Is 8 a factor of (-3 + 26)/(15/2400)? True Let z(s) = -6*s**3 + 2*s**2. Let m be z(1). Let v be -1*(5/(-2))/((-2)/m). Suppose 106 = 3*b - 3*u - 44, -2*u - 253 = -v*b. Is 51 a factor of b? True Let k = 2323 + -1102. Suppose -k = -4*g + 3*r, 0*g = g - 4*r - 289. Suppose -g = -3*j - 3*o, -2*o + 3 = -o. Does 10 divide j? True Suppose -28*h = -2*p - 31*h + 10169, 15282 = 3*p - 5*h. Is 24 a factor of p? False Does 54 divide (90/12)/(-5) + (5 - 43084/(-8))? False Let c(k) = k**3 - 3*k**2 - 11*k + 30. Let w be c(4). Suppose -9*y = w*y - 22. Suppose 2*m + 5*p - 65 = 21, -m - y*p = -41. Is 33 a factor of m? True Let c = 10940 + -7840. Is c a multiple of 7? False Suppose 8*i = 4*i + 224. Suppose 2*b = 2, -3*a - 9*b - i = -5*b. Is -2 - (-90)/8 - 15/a a multiple of 2? True Suppose -4*l - 1897 = -16*l - 97. Does 10 divide l? True Let x(u) = -168*u**3 - 51*u**2 - 22*u + 4. Does 92 divide x(-4)? True Let m be 680/119 - (-2)/7. Does 4 divide 59/4 - (m/8)/1? False Let k be (-3)/((-42)/(-35)) - (-34)/4. Suppose -975 = -k*d + 255. Is d a multiple of 2? False Let l be (-40)/6*(-3 + -9). Is 12 a factor of ((-2145)/52)/((-5)/l)? True Let u = 93 + -65. Suppose 31*q - u*q - 78 = 0. Is 25 a factor of q? False Suppose 19 = 4*m + r, 2 = -5*r + 3*r. Suppose -m*t - 3000 = -35*t. Does 10 divide t? True Suppose -291 + 2201 = 5*m. Suppose 6*n = 5*n - 2*g + m, 3*n + 4*g = 1142. Is n a multiple of 63? True Let k(i) = -6*i - 45. Let a be k(-15). Suppose 249 = 2*v + a. Is 6 a factor of v? True Let l = 22504 - 11830. Is l a multiple of 23? False Suppose -2710*d = -2713*d + 48363. Does 12 divide d? False Suppose -8*o = 255 + 7441. Let s = -674 - o. Does 12 divide s? True Let u be 1 + 0 + -8 + 9 + -80. Let l = u - -82. Suppose w = 4, 7*w - 82 = -2*a + l*w. Does 7 divide a? True Does 96 divide 16320*(2/10)/((-2)/(-12))? True Suppose -5*i - h = -57 - 27, h = -i + 20. Suppose -i = -2*c + 6*c. Does 8 divide c*(-9)/((-18)/(-44))? True Suppose -369950 - 375184 = -41*l. Is l a multiple of 133? False Let a = 985 - 1417. Let q = -45 - a. Is q a multiple of 20? False Let i be ((-6)/8)/(-10 + (-10086)/(-1008)). Let u = 150 + i. Is 12 a factor of u? True Let k be ((-8)/20)/(-3 - (-31)/10). Let h be k/10 + 48/20. Suppose h*p = 0, -3*p = y - 2*y + 46. Does 23 divide y? True Let u be 280/(-68) - -4 - (-265)/85. Suppose -u*o - x + 0*x = -10, -3*o + 4 = -5*x. Does 3 divide o? True Let z = -3269 - -4021. Does 3 divide z? False Let y = -30 + 32. Suppose -y*n + p - 10 = 3*p, 5*p + 25 = -2*n. Suppose 8*m - 118 - 194 = n. Is m a multiple of 13? True Let m(g) = -g - 1. Let f(z) = 35*z + 106. Let h(l) = -f(l) + 6*m(l). Does 13 divide h(-4)? True Suppose 5*a - 862 = 1293. Is a a multiple of 5? False Let w = -8233 + 9454. Is w a multiple of 28? False Let a be 27/4 - 1/(-4). Let h = -1255 + 1255. Suppose -4*j - 50 = -a*j + 4*o, h = -2*j - 3*o + 22. Does 7 divide j? True Let k(a) = a**2 - 6*a + 4. Let j = -1 - -4. Let y be k(j). Let c = 19 + y. Is c a multiple of 14? True Suppose 0 = -2*l + 6*l - 636. Let p(r) = r**3 - 9*r**2 - 20*r + 49. Let k be p(11). Let n = l - k. Does 11 divide n? True Suppose 3*m = 29 + 103. Let w be (-66)/m - ((-162)/4)/3. Let f = w - 6. Is f a multiple of 3? True Let f = -293 + 498. Suppose -q + 3*d + f = 0, 0 = -2*q + d + 652 - 252. Does 13 divide q? False Suppose -4*l = z - 816, l + 0*z = 4*z + 187. Suppose -3 + l = 20*h. Is h a multiple of 9? False Suppose -r + 478 = 4*x, 5*r - x + 6*x - 2360 = 0. Suppose -r = -2*o - 26. Does 74 divide o? True Suppose -2859 = 11*g - 55087. Suppose g + 12 = 20*h. Does 14 divide h? True Let c = 179 + -164. Is (-2 - (-24)/c)*(-25935)/19 a multiple of 13? True Let h = -184 + 1. Let a = 227 + h. Is a a multiple of 4? True Suppose 7086*t = 7092*t - 18564. Is 8 a factor of t? False Let m(f) = -25*f**3 + 17*f**2 + 40*f + 4. Does 63 divide m(-5)? False Suppose 5*m = 6*m + 106. Let v(l) = 2*l**2 + 6*l + 6. Let k be v(7). Let n = k + m. Is n a multiple of 34? False Let d(p) = -658*p - 5090. Is 3 a factor of d(-8)? True Suppose -10 = -5*f, -3*j - 2*f + 16 = -0*f. Suppose -j*b = 4*s + 328, 2*s = -b + 3*s - 82. Let p = b + 182. Is 12 a factor of p? False Let o(d) = -d + 35. Let z = -13 - 5. Does 4 divide o(z)? False Suppose 0 = -96*z + 1109056 - 190336. Is z a multiple of 66? True Let r be ((-18)/8)/((-5)/(-8) - 1). Suppose -2*y + 3*t = -160, -r*t = 5*y - 5*t - 366. Is 15 a factor of y? False Does 13 divide (-3)/(-10)*224/168 + 18263/5? True Suppose 0 = 3*h - 4*n - 1002, -5*h - 51*n + 56*n + 1665 = 0. Does 44 divide h? False Suppose -29*x + 11100 = -24*x + 2*k, -5*k + 11100 = 5*x. Suppose -18*t = -28*t + x. Does 37 divide t? True Suppose -7*v = -3*v + 3*r - 3306, 0 = -v - 2*r + 834. Is 6 a factor of v? True Let z(a) = -5*a + 33. Let f be z(11). Is (-75 +
{ "pile_set_name": "DM Mathematics" }
uppose 2*m + 4*n = -4, -m = -0*m - n - 7. Which is the closest to m? (a) 2/3 (b) 1/2 (c) 0.3 a Let n = -6.8 + 14.5. Let r = 8 - n. What is the nearest to 0 in -1, -1/2, r? r Let q be (1 - (-4)/(-6))/((-2)/18). Which is the closest to 3? (a) 0.3 (b) -0.1 (c) q a Let y(r) be the third derivative of 0*r + 1/24*r**4 - 5/3*r**3 + 0 - r**2. Let q be y(9). Which is the nearest to q? (a) -2 (b) -0.5 (c) 3 b Let t = 0.104 - 1.104. Which is the closest to -1? (a) t (b) 0 (c) -3 a Let o be 56/96 + 2/(-4). Let p = 3 + -7. Let u = 6 + p. Which is the nearest to -1? (a) u (b) -2/7 (c) o b Let o = -5 + 4.8. Let g = -103 - -108.9. Let a = -6 + g. What is the nearest to a in -1, o, -4? o Let t = -5.6 - -4. Let k = t - -1.5. Let r = 3.04 - 0.04. What is the nearest to k in -3/4, 2/11, r? 2/11 Let d = -81.5 + 82. Let r be 1/(-1 + 2)*0. Which is the nearest to 2? (a) -0.2 (b) d (c) r b Let k = 39 + -39.5. What is the closest to -1 in 2, k, 1? k Let p be ((-24)/(-21))/(14/(-8)). Let r = 2/147 - p. Which is the nearest to r? (a) -0.2 (b) -4 (c) 3 a Let b = 8 + -8.2. Suppose 8*v = 3*v - 25. What is the nearest to b in v, -3, -1? -1 Let p = -4 - 2. Let y be (-37)/(-7) - p/(-21). Which is the closest to 0? (a) y (b) -0.2 (c) -2/11 c Suppose 2*v + 2*v - 5*i = 8, -2*i - 8 = 0. Let s = 0.8 - 1. Which is the closest to s? (a) v (b) -0.1 (c) 1 b Let c = 16 - 11. Let l = -4 + 4.1. What is the nearest to l in c, 1, 0.4? 0.4 Let q = -0.25 - -0.15. Let s = 7.07 + -7. Let c = 0.23 + s. What is the closest to q in 0.4, c, 5/4? c Let j = -12/11 - 9/22. Which is the closest to -2? (a) 5 (b) -2 (c) j b Let l = -0.169 - -0.069. Which is the closest to l? (a) 0.1 (b) -3 (c) 2 a Let y be (-4)/(-24)*(0 + 3). Which is the closest to 0? (a) 1/3 (b) y (c) 4/9 a Let t be (-5 + 6)*(2 + -2) - 2. Which is the nearest to t? (a) 2/11 (b) 0.4 (c) -2 c Let v = -1 - -0.7. Suppose 0*k = 3*k + 4*y + 16, 4*y = -4*k - 16. What is the nearest to k in 0.5, -0.1, v? -0.1 Let l = -13 - -23. Suppose -4*q - 14 = q - r, -5*q + l = 5*r. Let h be (q + 1)/(3/3). What is the closest to h in -0.2, 2, -3/4? -3/4 Let n = -0.09 - 0.09. Let z = 0.08 + n. What is the nearest to -0.1 in 1/2, 5/6, z? z Let q = -23 - -14. Let z = -5 - q. Let t = 2/31 + -35/62. What is the nearest to 2/9 in t, 1/4, z? 1/4 Let w(q) = -q + 3. Let m be w(5). Let u = 4 + -3. Which is the nearest to m? (a) -2 (b) u (c) 3 a Let n = -77/24 - -15/8. Let p = -5 + -3. Let h = p + 7. What is the nearest to h in -4/9, -2/5, n? n Let o be 6/8 - 198/(-24). Let v = o + -8. What is the closest to v in 0, -2/3, -3? 0 Let v = -0.6 - -4.6. Let k = v + -5. Let s = 2 + -2.5. Which is the nearest to k? (a) s (b) 0.1 (c) -5 a Let z = 33 + -34. Which is the nearest to z? (a) 0.14 (b) 2 (c) -2/9 c Let r = -13/30 - -3/5. Let p(y) be the third derivative of -y**4/24 + y**3/6 + 5*y**2. Let z be p(5). Which is the nearest to 1/6? (a) 0.3 (b) z (c) r c Let w = 17.04 + -17. What is the closest to -1 in -4, w, -0.4? -0.4 Let r be (-3)/(2/(-4)*2). Let y = 1.5 + -1.5. Which is the closest to 0? (a) -5 (b) y (c) r b Let l = 13 - 18. Let m = 2 - 1.5. Which is the closest to 1/4? (a) 0.1 (b) l (c) m a Let h(q) = -q**2 - q + 2. Let o be h(2). Let y be (-4 - o/1) + -4. Which is the closest to -2/9? (a) y (b) 0.5 (c) 3/8 c Let y = 3.2 + 0.8. Let q = 1341/7 - 192. What is the nearest to 0.1 in -2/17, q, y? -2/17 Let j = 39 + -155/4. Let i be -2 + -4*1/(-4). Which is the nearest to i? (a) j (b) 0.1 (c) -0.1 c Let a = 13 + -27. Let n = a + 20. Let r = n + -7. What is the closest to r in -0.1, -0.4, 2/3? -0.4 Let h = -12/7 - -50/21. Let s = 2 + -2.5. Let v = -17 - -17.3. Which is the nearest to h? (a) v (b) s (c) 2 a Suppose 2*n + 4 = -2*r, 4*r + 15 = r. Which is the closest to 1/3? (a) -2/7 (b) n (c) 1 a Let s(m) = -m**2 - 6*m - 6. Let z be s(-4). Let v be -1 + 3 + z + -3. What is the nearest to 3 in v, 1/3, -0.4? v Let m = -0.1 + 0.6. Let k be (-4)/(-19)*3/6. Let r be (3 - 1)/(-3*(-3 - -2)). Which is the nearest to r? (a) -1 (b) k (c) m c Let p = -0.112 + 0.012. What is the nearest to p in 2/3, -3/5, -0.2? -0.2 Suppose 6*k = 10*k - 4. What is the closest to k in -0.4, -3/4, 10? -0.4 Let d be 7/28 + (-502)/600. Let w = d + -1/75. Which is the nearest to 0? (a) w (b) 1/6 (c) 0.3 b Suppose -k + 0*k - 2*b - 2 = 0, 3*b = 3*k - 3. What is the nearest to k in -3, -1/4, 0.2? 0.2 Let t = -0.2 + 0.2. Let b = 29/6 + -13/3. Suppose k - x - 15 = -3*k, 2*k = 5*x + 21. What is the nearest to b in -3, k, t? t Let v = -704/85 - -212156/8415. Let y = 154/9 - v. Let i be ((-2)/(-5))/((-14)/10). What is the nearest to i in 2/9, -0.5, y? -0.5 Let p be (-1)/(1 + 6/(-5)). Suppose -2*u + 0 - 2 = 2*w, -4*w = -2*u - 26. Let v = 8 + -9. Which is the closest to -0.1? (a) w (b) p (c) v c Let t = -232/861 - 2/123. Which is the closest to t? (a) -1/4 (b) -1/2 (c) 0.15 a Let d = -2.41 + 2.61. Let g be (-2)/(-6) - (-1 - -1). What is the nearest to 1/2 in g, d, 2? g Let j = 34 - 29.2. Let p = j + 0.2. Let y be (-3 - -2) + 10/14. Which is the closest to y? (a) -6/5 (b) -2/7 (c) p b Let l = 8.7 - 12.7. Which is the nearest to -0.1? (a) 4/5 (b) l (c) 0.5 c Suppose -2*x - 24 = -6*x. Let f be x/33 - (-120)/(-297). Let i = 0.3 + 0.7. What is the nearest to i in -0.2, -2/3, f? -0.2 Let x = 0.2 - -0.6. Let f = -8.3 + 8. Let g = f + x. What is the nearest to -1 in -3/7, g, -1? -1 Let v be (-6)/(-15) - (-2)/(-4). Which is the closest to 0.1? (a) -2/7 (b) -0.3 (c) v c Let m(t) = t - 8. Let s be m(6). Let j = s - 0. What is the nearest to j in -5, -3, 0.3? -3 Let n = 15 + -89/6. Let u be (-10)/8*(-4)/(-10). Which is the nearest to -2/5? (a) u (b) n (c) -2 a Let m(i) = -i + 6. Let z be m(6). Let y be (3 - 10/4)*0. Suppose 2*l + y*n - 15 = 3*n, -n = l. Which is the closest to z? (a) -0.4 (b) -5 (c) l a Let g = 198/91 - 32/13. Let z = 0 + -0.1. Let b(k) = -3*k**3 + 2*k**2 + k. Let i be b(-1). What is the nearest to z in i, -5, g? g Let v be ((-2)/(-10))/((-2)/(-4)). What is the nearest to v in 4, -3, -0.3? -0.3 Let i = 6/29 + -88/145. Let l be ((63/(-6))/7)/(7/(-2)). What is the nearest to i in l, 4, 2/9? 2/9 Let u = 0.19 + -0.58. Let y = -0.01 + u. Let f = -0.5 + -2.5. Which is the closest to f? (a) y (b) -2 (c) 0 b Let t = -2.4 - -1.9. Which is the closest to -1? (a) 0 (b) 1/2 (c) t c Let w = -11/14 + 27/70. Which is the nearest to w? (a) 0.3 (b) -0.1 (c) 0.4 b Let j(g) = -g**2 + 2*g + 7*g + 3*g**2 + 7 - g**2. Let o be j(-8). Let d be 3/((-6)/(-2)) + o. What is the nearest to d in -0.5, -0.2, 2? -0.2 Let d be ((-52)/(-91))/(1/1). Which is the nearest to -0.1? (a) d (b) -2/7 (c) -1/6 c Let r = 0.07 + 0.27. Let t = r - -0.06. Which is the closest to 1? (a) t (b) 0.3 (c) 2/3 c Let p = 59 + -110. Let k = 51.31 + p. Let x = k - 0.01. Which is the closest to -2/5? (a) 1 (b) -0.3 (c) x b Let k be (-5 - -8) + 47/(-15). Which is the closest to 0? (a) k (b) 0.3 (c) -0.06 c Let f = 253 - 1003/4. Which is the closest to 0.1? (a) -1/6 (b) -4 (c) f a Let m = -5.5 - -6. Let k = 5 - 8. Let h = k + 2.9. Which is the closest to h? (a) 5 (b) m (c) -1/3 c Let t = 4 - 6. Let k(o) = o**3 + 8*o**2 + 7*o + 1. Let s be k(-7). Let x be s + 1*(-15)/21. Which is the nearest to x? (a) t (b) 4 (c) -3/5 c Let q = -44 + 131/3. Which is the closest to q? (a) 5/2 (b) 0 (c) 2/41 b Let i = -5.7 + 1.7. Which is the nearest to i? (a) 0 (b) -1 (c) 2/13 b Let p = 3.36 + -2.6. Let x = p + 6.14. Let o = x + -7. What is the nearest to -2/5 in 5, -3/4, o? o Let k = 0.76 + -2.76. What is the closest to k in -1, -2, -1/4? -2 Let g be (-6)/4 + -3*(-20)/56. What is the closest to -2 in g, -0.4, 0.2? g Let h = 2.3 + -0.3. Suppose 0 = 5*w, 4*w + 26 = 5*x + 6. Suppose -3*o - x = -2*o. Which is the closest to -1/4? (a) o (b) h (c) -5 b Let f = 2/19 + 5/133. Which is the nearest to 0? (a) 0 (b) 2/15 (c) f a Let y = -654/5 - -130. Let r = -0.09 - -2.09. Suppose -4*b - 4 = -2*b. What is the nearest to 2 in b, y, r? r Suppose 3*w = -f - 5, -5 = -5*f - 7*w + 2*w. Let d be 6/f*6/9. What is the closest to 2 in 0.5, 6/11, d? d Let c = -0.2 + 0.2. Let v = 1 - c. Let j = 0.4 + -1.4. What is the nearest to -1 in 1/3, v, j? j Let h(l) = -l - 18. Le
{ "pile_set_name": "DM Mathematics" }
8. Let c = z - 408.93. Let x = 0.07 - c. Is x less than -2/5? False Suppose 0 = 3*v - 28 + 94. Let u = 335/3 + -535/6. Let s = u + v. Which is greater: 1 or s? 1 Suppose 3*a - 5 = 2*a, -2*o = -a + 11. Let i be 12/(-40)*4/o. Which is greater: 0 or i? i Suppose 10 - 22 = 2*o. Which is bigger: o or -84/13? o Let k be (2 + 90/(-35))/(-14). Which is smaller: 0 or k? 0 Let p be (-138)/148*95/315. Let f = p + -1/222. Suppose 0 = -g - 3, -3*d - d = -g + 1. Is d at least f? False Let g(b) = b - 1. Let u be g(6). Let q be 1/(-3) - u/(-15). Is q equal to -1/12? False Suppose -4*l = i + i - 32, -2*l = -3*i - 16. Let v(h) = h**3 - 8*h**2. Let m be v(l). Let z = 554/15 - 112/3. Is m not equal to z? True Suppose 4*b - 7 - 1 = 0. Suppose -o = -b*f + 4, -o = -f + 2*o - 3. Is f bigger than 4? False Let g be (-24)/(-5) - (-7)/35. Let b = -6 + g. Let v = -8 - b. Is -7 less than v? False Let z(d) = 3*d + 22. Suppose -2*i - 3*w = 17, 4*i - w + 5*w + 32 = 0. Let t be z(i). Which is bigger: 0.08 or t? t Let d = -0.63 - -0.73. Are -6 and d nonequal? True Let h(y) be the second derivative of y**6/720 - y**5/60 + y**4/6 - 2*y. Let j(m) be the third derivative of h(m). Let i be j(3). Is -1/2 != i? True Suppose -7*l = -l + 54. Which is greater: l or -8? -8 Let m be 1 + (5 - -202)/(-3). Is m greater than or equal to -68? True Let d = -73 - -73. Which is bigger: -1/3 or d? d Let h(q) = -q - 13. Let g be h(-8). Which is greater: g or -7? g Let d be 9/(-7) - 6/(-21). Let j = -6 + 11. Suppose -3*b - 8 = b - 4*g, j*b = 4*g - 12. Is b at most as big as d? True Let v be 8 + (-3)/3 - 4. Let n(m) = m**2 - 3*m - 7. Let l be n(6). Let h = l - 7. Which is smaller: v or h? v Let k be 5/(-20)*(-2)/2. Suppose 7*u = 3*u. Suppose u = 4*s - 1 - 3. Do s and k have the same value? False Suppose 0 = i - 2*i + 8. Suppose 0*f + w - 46 = -5*f, -5*w - 20 = 0. Which is smaller: f or i? i Let a(k) be the third derivative of -k**4/24 - 7*k**3/6 - 3*k**2. Let b be a(-6). Are b and -2/3 unequal? True Let h = 6 - 2. Suppose -j + 0*a = a + 4, 4*j - h*a = -8. Let b be -3 + (-9)/(-3) + -4. Is j >= b? True Suppose 79*z - 16 = 83*z. Let t be -2 + (5 - 2)*-1. Is z at least as big as t? True Suppose -4*r + 8 = 4*j, -j + 10 = r + 4*j. Which is smaller: -1 or r? -1 Let x = -7 - -24. Which is smaller: x or 0.1? 0.1 Let v = -28 + 28. Is -47 >= v? False Suppose -5*r = -2*i - 31, 0*i - 7 = r + 4*i. Suppose -2*k = 3*k - r. Which is greater: 1/10 or k? k Suppose -5 = -5*l + 5. Let o be (l/6)/((-2)/(-12)). Let f(y) = 2*y - 1. Let v be f(o). Which is smaller: v or 4? v Let o(q) = -2*q + 6. Let x be o(3). Is -2/7 >= x? False Let q = 30 - 30. Which is smaller: q or 35? q Suppose -5*u + 40 + 0 = 0. Let b be 18/8*(1 - (-22)/(-6)). Let z = u + b. Does z = 3? False Suppose 5*i = 4*v + 8, 3*v + i + 6 = -2*i. Does v = -2? True Let j = 26 + -6. Is j smaller than 19? False Suppose -60 = -8*h + 3*h. Let s be (-10)/h - (-7)/(-42). Is s at most -4? False Suppose 11*j - 349 = 80. Is 37 smaller than j? True Let z be 2/((1/(-3))/1). Which is bigger: z or -7? z Let l = 0.1 - 0.1. Let o = 2.149 + -0.149. Do o and l have the same value? False Suppose -7 = -6*p - 25. Is p != 2? True Let s be (10/(-3))/((-176)/(-27928)). Let u = s - -529. Which is bigger: -1 or u? u Let d(o) = o**2 + 5*o + 9. Let m be d(-5). Which is smaller: 6 or m? 6 Let j = 76654 - 2299867/30. Let q = j - -53/6. Which is bigger: 2 or q? 2 Let z(j) = j**2 + 10*j + 1. Let i be z(-9). Which is smaller: i or -7? i Let m be 656/14 - 4/(-14). Let r = m + -47. Let a = r + 19/14. Which is smaller: a or 1? 1 Suppose 5*q = 3*l + 15, -3*l = -2*l + 5. Suppose w + 2*m = 14, 2*m = -q*m. Which is smaller: w or 15? w Let n = -71/504 + 1/63. Let f = n + -3/8. Let r be 2/(-6) + (-5)/3. Which is bigger: f or r? f Suppose -6 = -3*b + 2*v + 3*v, 0 = 4*b - 5*v - 3. Let y = -1 - -1. Let i be 2/(8/(-12) - y). Is i != b? False Let w(b) = b**2 + 7*b - 17. Let p be w(-9). Are 1/83 and p equal? False Let h be (-22)/126 - 14/(-63). Which is smaller: 0 or h? 0 Let k = -4 - -2. Let g(s) = -3*s + 17. Let t be g(6). Are k and t non-equal? True Let m be (6/10)/(3/15). Let d be (m/2)/((-9)/(-6)). Suppose d = -3*f - 2. Is 1/4 > f? True Let k(v) = -v**2 - 8*v + 2. Let a(b) = -b - 1. Let j(w) = 2*a(w) - k(w). Let g be j(-7). Let i be (5 + -4)/(1/g). Is i not equal to 5? True Let v = 1018/3055 + -6/235. Which is smaller: 0 or v? 0 Suppose -2*z = 5*z + 119. Which is smaller: -18 or z? -18 Let y be 0/(-2) + 3*3. Let z be -2 - 39/y - 2. Let h = z - -8. Which is smaller: 0 or h? h Let s be (-7)/(-35) + 208/10. Let i be 4/(-7) + 6/s. Is i equal to 0.4? False Let h(x) = 6*x**2 - 15*x + 18. Let f(v) = -5*v**2 + 14*v - 17. Let i(l) = -7*f(l) - 6*h(l). Let m be i(-9). Suppose -2*j = -2 - 4. Which is bigger: m or j? j Suppose -38 + 3 = 5*t. Let p(q) = q**3 + 7*q**2 - 7*q + 2. Let x be p(-8). Is x <= t? False Let m be (5/25)/(14/15). Which is greater: 1/4 or m? 1/4 Let o = -2.1 - -0.1. Suppose 0 = -2*v + 2 + 2. Which is smaller: o or v? o Let k = -157.95 + 154. Let j = k - 0.05. Is -1 less than j? False Suppose 0 = -k - k + 4*n + 24, -4*k - n = -3. Suppose -4*v - 5*y - 8 = 0, 5*v + 2*y + k*y = -10. Does v = -2? True Let n = -18 + 18. Let v = -6/19 + 4/19. Is v at least as big as n? False Let a(g) = 5*g. Let h be a(2). Suppose h = 5*o - 0. Which is bigger: o or 3/4? o Let l(b) = -b + b - 2*b**2 + b**2 - 1. Let d be l(-1). Are d and -1 equal? False Let z be (-96)/21 - -1 - 6/14. Are -11/3 and z equal? False Let f be 5/(-2)*(-12)/(-55). Let w(p) = -p**2 + 5*p - 4. Let k be w(4). Is f at most k? True Let x be 5 - (-4 - (-24)/4). Suppose -2*s = x*s + 95. Is s < -20? False Let s be (-6)/(-5) - 12/60. Let r be 74/104 - (-1)/(-4). Which is bigger: s or r? s Let u = 76 + -77. Which is smaller: -3 or u? -3 Suppose 4*t - 4*o = -0*t - 64, -3*t - o = 52. Which is greater: t or -16? -16 Suppose 5*c = 5*r + 6 + 4, c - 4*r - 2 = 0. Suppose 2*t + 4 = 3*t + v, -2*t + 5*v + 8 = 0. Is c greater than or equal to t? False Let v be 17/5 - (-9)/15. Suppose 0 = -v*r - u + 17, -2*r - 2*u + 4 = -12. Is 3 at least r? True Let n = -3 + 0. Let g be (-22)/(-6) - 6/(-18). Let s = g + n. Which is smaller: -1/3 or s? -1/3 Suppose -v + 10*f = 5*f - 6, -f = -2*v + 3. Which is smaller: v or -1/3? -1/3 Let n(a) = -7*a**2 - 6*a + 5. Let d be n(1). Do -8 and d have different values? False Let g be (-12)/(-30) - (-242)/(-5). Let q be (-1)/(-3) + 22/g. Are q and 1 equal? False Suppose -2*n - 3*n = 60. Let c = -10 - n. Which is greater: 0 or c? c Suppose -3*b + 2*b + 34 = d, 0 = 5*b + 10. Let c be (d/(-21))/(2/(-14)). Suppose -3*s = s + c. Is s smaller than -3? False Let b(c) = c**3 + 2*c**2. Let y be b(-2). Suppose -2*l - 22 = 4*g, -4*g - 2 = l + 19. Let n be (-1 - l) + 2/6. Which is smaller: y or n? y Let p = 0.03 + -0.63. Let b = 1.6 + p. Does 2 = b? False Suppose -r + 1 = -0. Let h = 2 + r. Which is greater: 2 or h? h Let v be (3 - (-4)/(-2))*-1. Suppose z + 6 = -z. Do v and z have different values? True Let t be (65/(-15) - -4)/(1/(-4)). Suppose -5*w = k - 14, 3 = -w + 2*k - 3. Is t bigger than w? False Let s = 6 + -12. Let v = -3 - s. Suppose 0 = -7*n + v*n - 4. Which is smaller: n or 2/7? n Let y = 11 + -11. Is 3/4 <= y? False Let s = -1 + 1. Is 3/127 bigger than s? True Let i = 100 + -58. Let a = -38.2 + i. Let r = 4 - a. Which is bigger: -0.2 or r? r Let w(r) = 3*r**2 + 2*r - 5. Let h be w(-5). Let u be 1 + 2*(-33)/h. Is 1 greater than u? True Let o(g) = g**3 + 2*g**2 - 2*g + 3. Let s = -3 - 0. Let v be o(s). Suppose -2 = -3*p - 5. Which is greater: p or v? v Let j(n) = 4*n**3 + 2*n - 1. Suppose 1 = -4*q - 5*c, q + 3*c + 1 = -q. Let z be j(q). Is 6 >= z? True Let p = 2319/20 + -116. Which is smaller: 1 or p? p Let p(j) = 3*j**2 + 2*j. Let d be p(-1). Let m = -2 - -1.9. Let o = m + 0. Is o less than d? True Let a(j) = -j**2 - 8*j + 4. Let l be a(-8). Is 2 greater than or equal to l? False Suppose -35 = 4*k - 5*h, 5*h = 4*k + h + 32. Is k at least as big as -8? True Let k = 4.1 + -2.1. Let b = 11 - 10.93. Which is greater: b or k? k Let l be (-1)/5 - (-104)/20. Suppose 0 = 4*w - 0*w + f - 2, 0 = -5*w + l*f - 10. Which is smaller: w or 11? w Let m(y) = y. Let u be m(2). Let d = -18.1 + 18. Which is smaller: u or d? d Let t = 7 + -11.9. Let d = t - -5.
{ "pile_set_name": "DM Mathematics" }
l + l)*(-3 + 3 + 2) + 3*l - 3*l + 2*l + 4*l - 5*l + 0*l). 60*l**2 Expand 2*p + p - 5*p + 3*p - p - p + (-3*p + p + 3*p)*(1 + 0 - 2) - 2*p + 0 + 0 + (4 - 5 - 1)*(2 - 2 + 4*p) - 3*p + 3*p + p. -11*p Expand 0*h - h + 2*h + (6 - 2 + 5)*(h + h - h) + 0*h - 5*h + 4*h. 9*h Expand (3*q + q - 2*q)*(5*q - q - 2*q - 2*q + 1 - 1 + (2 - 1 - 2)*(2 - 2 + q) + 3 - 3 + 3*q). 4*q**2 Expand (-1 + 0 + 2)*(4*a**2 - 3*a**2 - 3*a**2) + 31*a**2 - 2 - 2 - 30*a**2. -a**2 - 4 Expand (-1 + 2 - 3)*(s**2 - s**2 + 2*s**4) - 2*s**4 + 0*s**3 + 0*s**3 - 2*s**4 + s**2 + s**4 + 0*s**2. -7*s**4 + s**2 Expand 2*m + 5*m**5 - 2*m + (-4 + 0 + 5)*(2 - 4*m + 4*m - m)*(10*m**4 + 4*m**4 - 5*m**4). -4*m**5 + 18*m**4 Expand (2 - 1 + 2)*(n**2 - 4*n**2 + n**2)*(-4*n + 2*n + n). 6*n**3 Expand (-3*v**2 + 3*v**2 + v**2)*(-2*v + v + 0*v)*(-2*v**2 - 2*v**2 - v**2). 5*v**5 Expand -4*a**2 - 2 + 3*a**2 + a - a**2 + (0 + 0 - 2*a)*(-4*a + 3*a + 0*a) + a**2 + 0*a + 0*a - 3 + 3 + a**2 - 6*a**2 + 4*a**2 - 5*a**2. -5*a**2 + a - 2 Expand (q + 2*q - 4*q)*(-14*q + 4*q**2 + 14*q) - 5*q**3 + q**3 + 3*q**3. -5*q**3 Expand (4 - 3 - 3)*(-1 + 1 - 2*u) - 2 - u + 2 - 4*u + 4*u - u + 0*u - 2*u + u + (-u + 4*u - 2*u)*(0 + 4 - 6) - 1 + 1 - u - 1 + 1 - u. -3*u Expand (-4*y**2 + 2*y**2 + 3*y**2)*(-y**2 + y**2 + 2*y**3) + (-1 + 1 + 2*y)*(2*y**4 + 6*y**4 + 2*y**4). 22*y**5 Expand (-w + 3 - 3)*(-6 + 12 + 4). -10*w Expand (-5*j - 2 + 2)*(-2*j + 2*j + 2*j**2)*(2*j**2 - j**2 + j**2) + (j**5 + j**2 - j**2)*(5 + 1 + 0). -14*j**5 Expand 539 + 32*m**2 - 539 + (-2*m - 2 + 2)*(-6*m + 2*m + 2*m). 36*m**2 Expand (-75*l**2 + 4268 - 4268)*(-3 + 2 - 1). 150*l**2 Expand h - h + h**5 - h**5 - h**5 + 4*h**5 + 4*h**5 + h**3 - h**3 + (-3 - 2*h**3 + 3)*(4*h**2 - 5*h**2 + 3*h**2) + 3*h**5 + h**5 - 2*h**5. 5*h**5 Expand (-5*q**2 - 6*q + 6*q)*(-q**3 - q**3 - 3*q**3) - 2*q**4 + 2*q**4 + q**5. 26*q**5 Expand (2*q - 2*q - q - 1)*(-2 + 5 + 15). -18*q - 18 Expand (-4*a - a + 4*a)*(-5*a - 4*a + 23*a + 2). -14*a**2 - 2*a Expand (-8*t + 8*t - 5*t**2)*(8*t + 0*t - 3*t). -25*t**3 Expand 2*p + 3*p**4 - 2*p + (3*p**3 + 2*p**3 - 6*p**3)*(1 - p - 1) - 7*p**4 + 2*p - 2*p + 0*p**4 + 0*p**4 - p**4. -4*p**4 Expand (k - 6*k + 7*k - 3*k - 3*k + 4*k + (-3 + 0 + 1)*(0*k - 3*k + 5*k) - 2*k + 3*k - 2*k)*(3*k - 3*k + 5*k). -25*k**2 Expand -4*p**2 - 1 + 1 + (3*p + 0*p - p)*(-13 - 2*p + 13). -8*p**2 Expand (-3*k**4 + 3*k**4 - k**4)*(-2 + 5 - 1) + (0*k + 2*k + 0*k)*(k**3 + 2*k**3 - 8*k**3). -12*k**4 Expand -8*m**5 + 13*m**5 - 14*m**5 + (2*m**2 - m**2 - 2*m**2)*(2*m**3 - 6*m**3 + 2*m**3). -7*m**5 Expand (2 + 3 - 3 - q**2)*(q + 3*q + 0*q). -4*q**3 + 8*q Expand 0*y - 2*y + 39*y**3 + 5*y**2 - 36*y**3 + (0*y + 2*y + 0*y)*(-4 + 2*y**2 + 4) - y**3 + 0*y**3 - y**3. 5*y**3 + 5*y**2 - 2*y Expand (-1 - 2*q + 6*q - q)*(0*q + q**2 + 0*q)*(-1 + 21 - 3). 51*q**3 - 17*q**2 Expand (j + 2*j - 4*j + 1)*((5*j - 2*j - 2*j)*(0*j + 3*j - j) + 2*j + j**2 - 2*j - j**2 - j**2 + 3*j**2 - 2 - 2*j**2 + 2 + 6*j**2 + 0*j**2 - 3*j**2). -5*j**3 + 5*j**2 Expand (2 - 1 - 6)*(-2*h - 1 + 1)*(-h**2 - 4*h**3 + h**2). -40*h**4 Expand -2*j**5 + 8*j**5 + 0*j**5 + (j**4 - 4*j + 4*j)*(j - 5*j + 2*j) + (0*j**2 + 2*j**2 + 0*j**2)*(-4*j**3 + 2*j**2 - 2*j**2). -4*j**5 Expand (-u + 4*u - u + (-1 + 1 + 2)*(2*u + u - u))*(4*u - 4*u + u). 6*u**2 Expand (-l + 0*l - l)*(2 - 2 + 2). -4*l Expand ((-1 - 3 + 2)*(-f - 3*f + 3*f) - 5 + 5 + 3*f)*(0 + 2 - 1)*(-3*f + f + f). -5*f**2 Expand (1 + 0 - 2)*(-5*y**4 - 3 + 3). 5*y**4 Expand (-1 - 4*x + 1)*(10*x**4 + 10*x**4 + 2*x**4). -88*x**5 Expand (-3*n**4 + 4*n**4 + 3*n**4)*(-6*n + 5 - 5)*(0 + 1 + 1). -48*n**5 Expand (-n + 0*n - 1 + 4*n)*(-5 + 5 + n). 3*n**2 - n Expand (0 + 3 + 0)*(j - j + 2*j**2)*(9*j - 13 + 13). 54*j**3 Expand (-3*g - g + 2*g)*(-2 + g + 2) + 0 + 6*g**2 + 0 + (0 + 0 - 7*g)*(0 + 0 - g). 11*g**2 Expand (-14 + 10 - 11)*(0*c - c + 2*c). -15*c Expand 0*i - 2*i**2 - 2*i + 2 + i**2 + (-3 + 2 + 0)*(0*i**2 - 3*i**2 + 4*i**2). -2*i**2 - 2*i + 2 Expand (-2*b + 4*b + 37*b)*(b**3 - 1 + 1). 39*b**4 Expand -n**2 - n**3 + n**2 + (0*n**2 + 2*n**2 - 3*n**2)*(-n - n + 5*n) - n**2 + 2*n**3 + n**2. -2*n**3 Expand ((3 - 1 - 1)*(-2*j + 4*j + 0*j) + 5*j - j - 6*j + (-5 - 2 + 5)*(1 - 1 + j))*(2*j - 6*j + 3*j)*(1 + 5 - 5). 2*j**2 Expand -2*j - 6*j + j + (3 - 3 - 2)*(j + 3*j - 6*j). -3*j Expand (-2 + 4*n + 2)*(-4*n - 20*n**4 - 14*n**4 + 27*n**4). -28*n**5 - 16*n**2 Expand (40 + 9*v - 40)*(3*v - 5*v + 4*v). 18*v**2 Expand (88 - 88 + 6*t)*(4 - 3 - 3) + 4 - 4 - 2*t. -14*t Expand (-4*y**2 + 3*y**2 + 0*y**2)*(2 - 4 - 8)*(2*y**2 - 5*y**2 + 2*y**2 + y - y**2 - y + (5*y - 4*y - 2*y)*(y + 1 - 1)). -30*y**4 Expand (-4*q - 16*q + 4*q)*(-3*q**3 + 5*q - 5*q). 48*q**4 Expand (-2 - h + 0*h + 0*h)*(16*h - 27*h - 11*h). 22*h**2 + 44*h Expand (4*d**3 - 2*d**3 - 3*d**3)*(5 - 1 + 1). -5*d**3 Expand (0 + 3 - 2)*(-1 + 1 - 4)*(2 + 0 - 4)*(-3 + 3 - 2*k). -16*k Expand (-2 + 2 - 5*d)*(0 - 1 + 4)*(5 - 1 - 2). -30*d Expand (3*u + 4*u - 5*u)*(19 - 19 - 2*u**3) + (-u + 2*u - 2*u)*(2*u**3 + 2*u**3 - 2*u**3). -6*u**4 Expand 5*z**2 - 5*z**5 - 5*z**2 + (-2*z**3 - 2*z**3 + 3*z**3)*(-4*z**2 + 0*z**2 + 6*z**2) + 6*z**5 + 0*z**2 - z**2 - 4*z**5. -5*z**5 - z**2 Expand 2*k + 2 - 2 + (2 - 1 - 3)*(-2 + 2 - 2*k) - 3*k - 2*k + 3*k + 3*k - 3*k - k + k - 3*k + 0*k - 17*k - 9*k + 1 + 15*k. -10*k + 1 Expand -2*j**2 - 2 + 2 + (-2*j - j + j)*(-2*j + 4*j - 4*j) + 3*j**2 + 2*j**2 - 3*j**2 + 12*j - 12*j + 5*j**2. 9*j**2 Expand (q - 4*q + 2 - 4)*(3 + 2 - 2). -9*q - 6 Expand (-2*p**2 + 30*p**2 + 22*p**2)*(0 - 1 + 0)*(0 + 2 + 0)*(0*p + 2*p - p). -100*p**3 Expand (4 + 0 - 3)*(-2*j**3 + 12*j**3 - 2*j**3 - 2*j**5). -2*j**5 + 8*j**3 Expand (5*x - 2*x - 4*x)*(8 + 4 + 0)*(-1 - 1 + 0*x + x). -12*x**2 + 24*x Expand (g**3 + 2 - 2)*(5 - 2*g - 4 - 3). -2*g**4 - 2*g**3 Expand (-7*v**2 + 12*v - 12*v - 2*v**2 - v + v + (4 - 4 + 1)*(-v**2 + 0 + 0) + 2*v**2 - 5*v**2 + 2*v**2)*(-4*v**3 - 1 + 1). 44*v**5 Expand (-3*l + 3*l + 2*l + (-4 + 2 + 4)*(-4*l + 4*l + l))*(1 + 1 + 9). 44*l Expand (-3*w - w + 5*w)*(2 + 5 - 4). 3*w Expand (2*i**2 - 2*i**2 + 2*i**4)*(-9 - 15 - 4). -56*i**4 Expand w**2 - 3*w + 3*w + (-4 + w + 4)*(-2*w - 4 + 4) - 2*w + 2*w - w**2 + 71*w - 2 + 11 - 69*w - w**2. -3*w**2 + 2*w + 9 Expand (0*r**3 + r**3 - 3*r**3)*(-19*r**2 + 10*r**2 + 2*r**2) + 2*r**5 - 3*r**5 + 3*r**5. 16*r**5 Expand -3*p**5 + 4*p**5 - 3*p**5 + (-11*p**3 - 2*p**4 + 11*p**3)*(-3*p - 4*p + 5*p). 2*p**5 Expand (-z**2 - z**2 - 5*z**2)*(2 + 1 - 1). -14*z**2 Expand (2*d - 1 + 1)*(2 - 1 + 1)*(-d + 3*d + 0*d)*(1 + 3 + 2). 48*d**2 Expand (0 - 10*m + 0)*(-3*m + m**4 + 3*m). -10*m**5 Expand (-3*r + 4*r - 2*r)*(-188*r - 193*r + 2*r**2 - 6 + 386*r). -2*r**3 - 5*r**2 + 6*r Expand -2*b**2 - 7*b**4 + 2*b**2 + (-2*b - 3*b + 6*b)*(b**3 + 4*b**3 - 3*b**3) + 2*b**4 + b**3 - b**3 + b**4 - 3*b**4 + 3*b**4. -2*b**4 Expand -l + 4*l - 2*l + 2*l + 4 - 4 + 0 - 3*l + 0 + 2*l + l - 4*l + (6*l - 3*l - 4*l)*(-3 + 1 + 4). -3*l Expand -1 + 1 + 2*q**2 + 0*q**2 + 5*q**2 - 4*q**2 + (q + q - q)*(-4*q + 2*q + 3*q) - q**2 + 2*q**2 + 0*q**2. 5*q**2 Expand (-13 - 16 + 25 + (1 + 0 - 3)*(2 + 1 - 1))*(2*r + r - 5*r). 16*r Expand (5 - 13 + 5)*(0 - 3*v + 0). 9*v Expand -r**2 + r**2 - r**2 + (-4*r**2 + r**2 + 4*r**2)*(5 - 3 + 3). 4*r**2 Expand (4 - 4 + x)*(5*x**2 - 5*x**2 - x**3) - 2*x**4 - 3*x**4 + 3*x**4. -3*x**4 Expand 2*f - 5*f + 0*f + (-8*f - f + 3*f)*(1 + 2 - 4) + 2 - 2*f - 2. f Expand (0*v + v + v)*(4*v**2 + v**2 - 3*v**2) - v**3 + 2 - 2 - v**3 + v**3 + v**3 + (2*v**2 + 0*v**2 - 4*v**2)*(1 - 1 - 2)*(2 - 2 + v). 8*v**3 Expand -56*o**3 + 25*o**3 + 18*o**3 - 2*o**2 + (2*o**2 + 0 + 0)*(-6*o + 6*o - 5*o). -23*o**3 - 2*o**2 Expand -4 + 2*a**2 - 2*a + 4 + (-3*a + 0*a + 4*a)*(79 - 79 + 7*a). 9*a**2 - 2*a Expand 3 + 2*w - 3 + (2 - 2 + 2)*(1 + 2 - 2)*(w - 10 + 10). 4*w Expand (-9 + 9 - u**4)*(-6 + 1 - 4) + 0*u**2 - u**4 + 0*u**2. 8*u**4 Expand (-3*d + 0*d + d)*(5 - 2 - 1)*(0 - 4 + 2)*(2 - 2 + 10*d). 80*d**2 Expand (-g - 2*g + g)*(5 - 3 - 1) + 3*g - 7*g + 3*g + g - 2*g - g - g + 0*g + 0*g - g - 3*g + 5*g + 0*g + 0*g - 2*g + (0 + 4 - 3)*(5*g - 2*g - g)*(-1 + 6 + 3). 9*g Expand (29*r - 15*r + 27*r)*(-1 + 4 - 1). 82*r Expand (-5*y**3 + 2*y**3 + y**3)*(1 - 4 + 4) + (-2*y - 2*y + 2*y)*(4*y - 4*y - 2*y**2). 2*y**3 Expand 0*m - 2*m**2 + 0*m + (-3*m + m + 0*m)*(-5*m + 3*m - m) + 4*m - 5*m**2 + 2*m**2 + 6*m**2. 7*m**2 + 4*m Expand -2*y - 2*y*
{ "pile_set_name": "DM Mathematics" }
prob of picking 2 a. 2/9 Two letters picked without replacement from rjrjrjwjrjr. Give prob of picking 1 r and 1 j. 5/11 Calculate prob of picking 2 j when two letters picked without replacement from {s: 5, p: 2, j: 6}. 5/26 Three letters picked without replacement from {j: 1, l: 14, r: 2}. What is prob of picking 1 j and 2 l? 91/680 Three letters picked without replacement from iudodzuzruzr. What is prob of picking 1 o and 2 r? 1/220 Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {i: 2, f: 5, g: 9}. 3/8 What is prob of picking 1 o, 1 g, 1 d, and 1 f when four letters picked without replacement from ooaodpggfaa? 1/55 What is prob of picking 2 o, 1 m, and 1 p when four letters picked without replacement from {m: 1, q: 1, k: 1, p: 2, o: 2}? 2/35 Calculate prob of picking 2 w and 2 d when four letters picked without replacement from {w: 5, d: 4, u: 3}. 4/33 Three letters picked without replacement from ggggg. What is prob of picking 3 g? 1 What is prob of picking 1 b and 1 k when two letters picked without replacement from {k: 5, v: 1, r: 3, t: 1, b: 6, q: 3}? 10/57 What is prob of picking 1 d, 1 n, and 1 i when three letters picked without replacement from {g: 1, u: 7, n: 4, d: 1, j: 2, i: 3}? 1/68 Calculate prob of picking 2 z and 1 t when three letters picked without replacement from {z: 17, t: 1}. 1/6 What is prob of picking 1 f and 1 a when two letters picked without replacement from {f: 3, a: 8}? 24/55 Three letters picked without replacement from {k: 1, y: 1, m: 6, a: 1, t: 1, u: 1}. Give prob of picking 1 k, 1 m, and 1 u. 2/55 Calculate prob of picking 2 r and 2 d when four letters picked without replacement from {d: 6, r: 2}. 3/14 What is prob of picking 1 x and 1 l when two letters picked without replacement from {x: 4, t: 3, s: 1, l: 2}? 8/45 Calculate prob of picking 2 a when two letters picked without replacement from ccacac. 1/15 What is prob of picking 1 f and 1 o when two letters picked without replacement from {o: 6, f: 3, k: 3, n: 1, g: 1}? 18/91 Two letters picked without replacement from ugugvuvuuvvgugv. Give prob of picking 1 g and 1 v. 4/21 Two letters picked without replacement from ztzftzuzfxzxfppu. What is prob of picking 1 t and 1 z? 1/12 What is prob of picking 1 t and 1 u when two letters picked without replacement from {t: 5, u: 5, b: 8}? 25/153 What is prob of picking 1 r and 3 q when four letters picked without replacement from {r: 7, q: 7, l: 1, c: 2}? 7/68 Calculate prob of picking 1 w and 1 y when two letters picked without replacement from yyhhywwhwwywhhwly. 15/68 Two letters picked without replacement from omddmobbmpoppdbmp. Give prob of picking 1 o and 1 b. 9/136 Calculate prob of picking 1 w and 2 h when three letters picked without replacement from hhduhwhu. 3/28 Calculate prob of picking 1 b and 1 w when two letters picked without replacement from evxvxxxxxxxxbwxb. 1/60 What is prob of picking 1 b and 2 f when three letters picked without replacement from bbibfbfbbfffirffi? 63/340 What is prob of picking 2 j and 1 t when three letters picked without replacement from {t: 8, j: 3}? 8/55 Four letters picked without replacement from {v: 3, s: 13, r: 3}. Give prob of picking 2 s and 2 v. 39/646 Two letters picked without replacement from vznnnzzrrrorronnov. What is prob of picking 1 v and 1 z? 2/51 Four letters picked without replacement from {a: 3, q: 9}. Give prob of picking 1 a and 3 q. 28/55 What is prob of picking 1 r and 1 n when two letters picked without replacement from {k: 3, z: 1, x: 2, n: 1, r: 4}? 4/55 Four letters picked without replacement from {z: 2, o: 2, m: 8, b: 1, j: 6, y: 1}. What is prob of picking 1 b, 1 j, and 2 m? 56/1615 What is prob of picking 3 l and 1 a when four letters picked without replacement from {a: 4, u: 4, l: 3}? 2/165 Calculate prob of picking 2 c when two letters picked without replacement from mmcmcmmcmccccm. 3/13 Calculate prob of picking 1 k, 1 i, and 2 f when four letters picked without replacement from hlfichkchff. 1/110 Four letters picked without replacement from {z: 1, y: 1, g: 2, t: 1, x: 2, c: 1}. Give prob of picking 1 c, 1 y, 1 z, and 1 g. 1/35 Calculate prob of picking 2 a and 1 e when three letters picked without replacement from {v: 5, z: 1, a: 6, e: 1, d: 1}. 15/364 Three letters picked without replacement from zfzfzfzz. Give prob of picking 3 f. 1/56 What is prob of picking 1 u and 1 t when two letters picked without replacement from {u: 4, t: 4, p: 7}? 16/105 Four letters picked without replacement from {x: 2, e: 5, z: 2, i: 1, t: 2, y: 1}. What is prob of picking 1 x, 2 t, and 1 i? 2/715 Three letters picked without replacement from jnjmnnjjnnn. What is prob of picking 1 j, 1 m, and 1 n? 8/55 What is prob of picking 1 u and 2 x when three letters picked without replacement from wuuhiwwwiiuxiiwiwwxu? 1/285 Three letters picked without replacement from {s: 1, n: 2, z: 4, e: 2, b: 10}. Give prob of picking 1 z, 1 b, and 1 s. 40/969 Four letters picked without replacement from xrxxrrxrrrrxrr. Give prob of picking 1 x and 3 r. 60/143 What is prob of picking 1 c and 1 b when two letters picked without replacement from {p: 1, c: 1, b: 1}? 1/3 Three letters picked without replacement from vvaifvt. Give prob of picking 1 f and 2 v. 3/35 Calculate prob of picking 1 u, 1 a, and 1 r when three letters picked without replacement from {a: 4, u: 1, h: 1, r: 2}. 1/7 Two letters picked without replacement from {x: 2, h: 5, s: 3}. Give prob of picking 1 s and 1 h. 1/3 Calculate prob of picking 1 o and 1 e when two letters picked without replacement from eeooeeoeeeoeee. 40/91 Three letters picked without replacement from {f: 1, n: 1, h: 3, p: 5, d: 3, r: 2}. What is prob of picking 1 h, 1 r, and 1 f? 6/455 What is prob of picking 1 n and 2 p when three letters picked without replacement from punrp? 1/10 Three letters picked without replacement from {j: 2, v: 1, i: 1, l: 2}. Give prob of picking 1 j, 1 l, and 1 v. 1/5 Three letters picked without replacement from uuuuuuu. Give prob of picking 3 u. 1 What is prob of picking 1 s and 1 f when two letters picked without replacement from fsff? 1/2 Two letters picked without replacement from {p: 2, u: 3, m: 1, e: 4, k: 2}. Give prob of picking 1 p and 1 m. 1/33 Four letters picked without replacement from nvnnznvnqvqznnnv. What is prob of picking 1 q and 3 v? 2/455 What is prob of picking 1 t, 1 a, and 2 o when four letters picked without replacement from hohtccohcthttact? 1/364 Two letters picked without replacement from {n: 6, i: 3, u: 2, r: 1, g: 2}. Give prob of picking 1 n and 1 g. 12/91 Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {l: 1, e: 3, t: 7, r: 1}. 7/22 Two letters picked without replacement from {v: 1, w: 3, h: 1, b: 1, t: 1}. What is prob of picking 1 v and 1 b? 1/21 Two letters picked without replacement from {v: 1, e: 2}. What is prob of picking 1 e and 1 v? 2/3 Three letters picked without replacement from ikkikiikiiiiiiki. Give prob of picking 3 k. 1/56 Two letters picked without replacement from ogoqq. What is prob of picking 1 q and 1 o? 2/5 Three letters picked without replacement from eppbreurbiprb. Give prob of picking 1 u and 2 e. 1/286 Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {n: 3, c: 5, f: 1, k: 7, j: 3}. 5/57 Calculate prob of picking 2 a when two letters picked without replacement from hhaahihahhthhhh. 1/35 Three letters picked without replacement from daragrrdadgggwgdor. What is prob of picking 1 r, 1 d, and 1 g? 5/51 Calculate prob of picking 2 z and 1 w when three letters picked without replacement from wwzwwzw. 1/7 Four letters picked without replacement from aavvvav. What is prob of picking 1 v and 3 a? 4/35 What is prob of picking 1 y and 2 j when three letters picked without replacement from {j: 7, y: 1}? 3/8 What is prob of picking 3 z when three letters picked without replacement from wzypuzzzyzyzeypzy? 7/136 Three letters picked without replacement from ohxhhhhooohhhohk. Give prob of picking 2 o and 1 k. 1/56 Three letters picked without replacement from {a: 1, j: 1, k: 1, d: 1, n: 1}. Give prob of picking 2 n and 1 k. 0 What is prob of picking 1 l, 1 s, and
{ "pile_set_name": "DM Mathematics" }
st to -18? (a) 5 (b) -0.1 (c) -49 (d) -1/4 d Which is the nearest to -2/461? (a) 2/9 (b) 0.3 (c) 58 (d) 3/4 (e) 0.1 e Which is the closest to 64? (a) -0.8 (b) 2/41 (c) 2 (d) 0 (e) -0.3 c Which is the nearest to -2.53? (a) 1/3 (b) 1/4 (c) -5 (d) -0.778 (e) 1 d What is the closest to 7/9 in 4, -1, -23/6, 5? -1 Which is the closest to -1? (a) 66.6 (b) -157 (c) -5 (d) 2/15 d Which is the nearest to 116? (a) 1 (b) -2/11 (c) -4 a What is the nearest to -20 in -0.17, 0.1, -3.9, 1/4, 5? -3.9 Which is the closest to -4? (a) 7 (b) -2/1993 (c) -2 c Which is the closest to -2? (a) 2 (b) -27 (c) 54 a What is the nearest to -0.2 in -411, 1/14, -3/5, 0.6, 1/2? 1/14 Which is the closest to -1? (a) -113/2 (b) 0.5 (c) -2/9 (d) -17 c What is the closest to 0.095 in -1, 64, -0.6, -1/7? -1/7 What is the nearest to 15 in -5, -2, 11/3, 47? 11/3 What is the nearest to 10 in -1/4, -0.04, 4, 23? 4 What is the closest to -2 in 82, 105, 3/4, -2? -2 What is the nearest to 5 in -1, -8, 2/23? 2/23 Which is the nearest to 40? (a) 24 (b) 2.4 (c) -0.5 (d) 2/21 a What is the nearest to -17 in 3, 2/9, -2, 2/11, 107? -2 Which is the nearest to 19? (a) -5/11 (b) -4/3 (c) -0.11 (d) 5 d Which is the closest to 1? (a) -0.4 (b) 1/21 (c) 5/11 (d) 0.5 (e) 1/12 d What is the closest to -2/11 in 5, -2, -4/7, -37, 1.8? -4/7 Which is the closest to 2? (a) 96/19 (b) 1/2 (c) -1/4 (d) -4 (e) 16/7 e What is the nearest to 4/9 in 0.3, 5, 0.5, 14, -1/2? 0.5 Which is the nearest to 177? (a) -206 (b) 1 (c) -3/2 b Which is the closest to 0? (a) 17 (b) -2 (c) -0.11 (d) 239 (e) -0.3 c Which is the closest to 0? (a) -4 (b) -0.1 (c) 1/11 (d) 1 (e) 11 c Which is the closest to 3/7? (a) 2 (b) 15 (c) 0.1146 c Which is the closest to 15.4? (a) 45/7 (b) -0.3 (c) 2 (d) -3 a Which is the closest to -5/2? (a) 2/11 (b) -4/9 (c) -2/7 (d) 12 b What is the closest to 7/2 in -1/6, -0.8, 2/3? 2/3 Which is the nearest to -0.2? (a) 2 (b) 5/6 (c) 0 (d) 0.3 (e) -85 c What is the closest to 0.1 in 0.4, 0.1, 0, 2/11? 0.1 What is the closest to 3/5 in -17, 2/5, -2, -3, 5? 2/5 What is the closest to 2/3 in -101/5, 0.24, -0.3? 0.24 What is the closest to 3 in 3, -3/70, -0.3, -5, 42? 3 What is the closest to 2 in 0.1, 5, -41111? 0.1 Which is the nearest to 2/3? (a) -2/11 (b) 4/51 (c) 440 b Which is the nearest to 99? (a) -1186 (b) 1 (c) 0.1 b Which is the nearest to 8? (a) -3/7 (b) 4 (c) 2/3 (d) -6 b What is the nearest to -293 in -1, -7, -3, -0.5, 8? -7 What is the nearest to 487 in -2/3, -3/8, 22, -1/3, -5? 22 What is the closest to 28 in 0.1, 80, -2/21, 5? 5 What is the nearest to 1 in 892, 3, -3? 3 What is the closest to 2 in 1, 12, -6/49? 1 What is the nearest to -0.6 in -0.09, 2, 5/54, -3? -0.09 What is the closest to 1 in 73, 30, 6/5? 6/5 What is the closest to -0.05 in -2/11, -368, -5, 0.5, 2/3? -2/11 Which is the nearest to -0.2? (a) -1/2 (b) -0.11 (c) 56 b Which is the nearest to 1? (a) -1 (b) -3 (c) -327 (d) 1 d What is the nearest to 1/4 in -40, 33, 4/3? 4/3 Which is the nearest to 123.4? (a) 0.02 (b) -3 (c) 0 (d) -6 a What is the closest to 0 in -0.05, 4, 0.3, 3/7, 4/69? -0.05 Which is the nearest to 2/13? (a) 0.4 (b) -0.5 (c) -3/4 (d) -37 (e) -5 a What is the nearest to 0.05 in 0.4, -1/2, -0.314? 0.4 Which is the nearest to 1/3? (a) -5 (b) -33.98 (c) -1 (d) -0.1 d What is the closest to -6/7 in -0.2, 1/19, 43? -0.2 What is the closest to -1 in 1/6, 4/19, 9, 0.057? 0.057 What is the nearest to 6 in 0.6, 2/9, -1/4, -0.76, -3/5? 0.6 Which is the closest to -7/3? (a) 1 (b) 15 (c) 0.19 c What is the nearest to -1/3 in 2.13, 0.2, 0.44? 0.2 Which is the nearest to -0.036? (a) 2/9 (b) -1/17 (c) -13/4 b Which is the closest to -5? (a) 7 (b) -1 (c) 3/5 b Which is the closest to -11/240? (a) 0.4 (b) -0.1 (c) 2 (d) -1 b Which is the nearest to -1? (a) -1/109 (b) -0.5 (c) 4 (d) 0.11 (e) 69 b What is the nearest to -4 in -3, 5, -0.03, 222, -2/13? -3 What is the closest to -26 in -0.3, 0.15, -147? -0.3 Which is the nearest to 5? (a) -1 (b) -27 (c) 5 (d) -0.8 c What is the nearest to -0.1 in -175, -15, 0, -2/9? 0 Which is the nearest to 1? (a) 0.03 (b) 3 (c) 280 a Which is the closest to 2? (a) -1 (b) 0 (c) -6/359 (d) 3 (e) 1/10 d What is the closest to 0 in -71, -5, 0.091? 0.091 What is the closest to -1 in -2/55, 5, 18, -2/11? -2/11 What is the nearest to -5.92 in 1/8, -14, 4/9, 4? 1/8 Which is the closest to 1/1277? (a) 3 (b) 2 (c) -4 b What is the nearest to -1 in -1, -57, 0.4, -1/180? -1 Which is the closest to -4? (a) 23 (b) -88 (c) 0 c Which is the nearest to 1/4? (a) -5/6 (b) -2/3 (c) 7 (d) 139 b Which is the nearest to -4234? (a) -1 (b) 3 (c) 0.07 (d) 4 a Which is the nearest to -1/5? (a) -41 (b) 0 (c) 188 (d) -2/13 (e) 1 d Which is the closest to 22? (a) -45 (b) -0.2 (c) -0.001 c Which is the nearest to 163? (a) -1/8 (b) -4 (c) 0.2 c Which is the nearest to -19? (a) 3 (b) 1 (c) 2/63 (d) 4 c What is the nearest to 0.3 in -30, -2, 0.155, -0.3, 2? 0.155 What is the nearest to 0.1 in -20, -282, -3/11? -3/11 What is the closest to -1.2 in 0.3, -0.2, 2/25, -5? -0.2 Which is the closest to 19? (a) -1/3 (b) 1525/7 (c) 1/6 c What is the nearest to 1/4 in 1, -0.7, 5, -2? 1 Which is the nearest to -84? (a) 0.3 (b) 1/9 (c) -1 (d) 887 c Which is the closest to 5.3? (a) -1 (b) 95 (c) 0.1 (d) 0.4 (e) 4/9 e Which is the nearest to -0.1? (a) -0.2 (b) 0.1 (c) 37 (d) 6 (e) -1/2 a Which is the nearest to 174? (a) 0.3 (b) -1 (c) -0.4 (d) -0.008 a Which is the nearest to 1/6? (a) 0.4 (b) 0.6 (c) 7.7 a Which is the nearest to 4? (a) -0.5 (b) -36/13 (c) 2 (d) 2/7 c Which is the closest to -1/6? (a) 106 (b) -5 (c) 1 (d) 3 (e) -9 c Which is the nearest to 9? (a) -1/4 (b) -1 (c) -1/3 (d) -54 a Which is the closest to 2/9? (a) 0.2 (b) 2 (c) 1051 (d) -0.4 a Which is the nearest to 2/21? (a) -2 (b) 1/3 (c) -2/17 (d) 1 c Which is the closest to 1.15? (a) 65 (b) 11/6 (c) 4 b What is the closest to -2/397 in 100/21, 1, 1/11? 1/11 Which is the nearest to -35? (a) 0.3 (b) -30 (c) 14 b Which is the nearest to -1? (a) -0.1 (b) 549667 (c) 1/4 a What is the closest to 692 in 2/5, 0.3, -1/11, 1/4, -4? 2/5 What is the closest to -2 in 0.39, 0.5, 20? 0.39 Which is the closest to 0.1? (a) 3 (b) 1.5 (c) -5 b Which is the closest to 1/4? (a) -5 (b) -1/4 (c) 34.62 b What is the closest to -0.1 in 303, 0, -1/3? 0 Which is the nearest to -3? (a) -0.8 (b) 3 (c) -1030 (d) -0.1 a Which is the nearest to 0.1? (a) 0.5 (b) -54 (c) -13.2 (d) -4 a Which is the nearest to -5? (a) 1/5 (b) 1 (c) -149 (d) 0.22 a Which is the nearest to 1? (a) -8 (b) -4 (c) -28/9 (d) 1 d What is the closest to -2 in 4, 0.4, 29417? 0.4 What is the closest to 0.018 in 2, 1/2, -2, -109? 1/2 What is the closest to 83.7 in 49, -4, 5? 49 What is the closest to 1 in 6/13, -0.0306, -8? 6/13 Which is the closest to -1/23? (a) 1 (b) 2/9 (c) -42 (d) -16 b What is the closest to 2/45 in -2.97, 2, 0? 0 What is the closest to 8 in 5, 0.763, 1? 5 Which is the closest to -2? (a) -15 (b) 491 (c) -0.1 (d) -4/3 d What is the nearest to -0.1 in 4, -0.08, -0.3, -86, 28? -0.08 Which is the closest to -0.101? (a) 22 (b) 1/4 (c) 7 (d) 0 d What is the nearest to 1/5 in -3, -2, -0.04? -0.04 Which is the nearest to -0.03? (a) -0.4 (b) -4 (c) 2 (d) 3/1606 d What is the nearest to 2/3 in 1/4, -0.1, 1, 199222? 1 Which is the nearest to -0.1? (a) -2/5 (b) 0.615 (c) -1/4 c What is the closest to 2/7 in 52, 0.2, 6, 0.5? 0.2 What is the nearest to 0.0195 in -53, 0.2, 2? 0.2 Which is the nearest to 0? (a) -124 (b) 1/2 (c) 2 (d) -0.169 (e) -0.1 e Which is the closest to -0.1? (a) -1/40 (b) -0.02 (c) -25 a Which is the nearest to -2? (a) -2/9 (b) 880 (c) 1/5 (d) -2/7 d Which is the nearest to -5/3? (a) -14 (b) 5 (c) -5 c Which is the closest to 2/7? (a) -6 (b) -0.07 (c) -2/9 (d) 13/9 b Which is the nearest to 1/6? (a) 5 (b) 3/94 (c) 2/7 c What is the nearest to -20 in -8, -1.3, -0.4, 3/10? -8 What is the closest to -1 in -1, -3831, 2/3? -1 Which is the closest to 0.3? (a) -9 (b) 0.9 (c) -1/2 (d) 0.042 (e) 5 d Which is the nearest to 0.1?
{ "pile_set_name": "DM Mathematics" }
next in -5115, -10153, -15025, -19647, -23935, -27805, -31173? -33955 What is next in -14739, -28737, -42745, -56769, -70815? -84889 What comes next: 798, 5217, 15610, 34455, 64230, 107413, 166482? 243915 What is next in -14732, -28109, -41486, -54863, -68240, -81617? -94994 What is the next term in -21328464, -21328467, -21328470, -21328473, -21328476? -21328479 What is next in -176314702, -352629407, -528944118, -705258835, -881573558, -1057888287, -1234203022? -1410517763 What is the next term in 2628, 2328, 1886, 1302? 576 What comes next: 14505620, 29011238, 43516856, 58022474? 72528092 What is next in 13406, 13352, 13284, 13220, 13178, 13176? 13232 What is next in 105623, 424023, 954683, 1697597, 2652759, 3820163, 5199803, 6791673? 8595767 What comes next: 92326, 92234, 92142, 92050? 91958 What comes next: 87251, 87155, 87059, 86963, 86867? 86771 What comes next: -726, -1615, -2504, -3393? -4282 What comes next: 216789, 217772, 218757, 219744? 220733 What is next in 23, -184, -557, -1186, -2161, -3572, -5509, -8062? -11321 What comes next: -33099, -65868, -98637, -131406, -164175, -196944? -229713 What comes next: 153932, 615875, 1385830, 2463797, 3849776, 5543767? 7545770 What is the next term in -12323747, -12323737, -12323727? -12323717 What is next in -2711191, -5422374, -8133555, -10844734, -13555911, -16267086, -18978259? -21689430 What comes next: 1530, 2213, 2888, 3555? 4214 What is next in -4816298, -4816509, -4816852, -4817321, -4817910, -4818613? -4819424 What comes next: -1480, -1400, -1326, -1264, -1220? -1200 What comes next: -819566, -819568, -819570, -819572, -819574? -819576 What is the next term in -57977258, -57977255, -57977252? -57977249 What is next in 4919, 19573, 43993, 78167, 122083, 175729? 239093 What is the next term in -1309, -11893, -40999, -97891, -191833, -332089, -527923? -788599 What is next in -3126, -8968, -17526, -28800, -42790? -59496 What is next in 295, 354, 441, 568, 747, 990, 1309, 1716? 2223 What is next in 41600, 41650, 41718, 41810, 41932? 42090 What is next in 154209, 154513, 154817, 155121, 155425, 155729? 156033 What is the next term in -25786, -51602, -77446, -103318, -129218, -155146? -181102 What comes next: -120298, -120290, -120282, -120274, -120266? -120258 What comes next: 691, 3900, 12619, 29602, 57603, 99376, 157675? 235254 What is the next term in -6123, -6189, -6345, -6633, -7095, -7773? -8709 What is the next term in -1361, -2653, -4005, -5447, -7009, -8721? -10613 What comes next: -1463886, -1463194, -1462502? -1461810 What comes next: 20054, 20016, 19936, 19814, 19650? 19444 What is the next term in -48199, -79922, -111645? -143368 What is the next term in -30166, -60277, -90388, -120499? -150610 What is next in 151979453, 151979451, 151979449, 151979447? 151979445 What comes next: 103399, 413629, 930679, 1654549, 2585239, 3722749? 5067079 What comes next: -59924012, -119848022, -179772032, -239696042, -299620052? -359544062 What comes next: -35506, -66602, -97698? -128794 What comes next: 1413, 1449, 1509, 1599, 1725, 1893? 2109 What is the next term in 124, -4115, -11180, -21071? -33788 What is next in -89975, -88002, -86029? -84056 What is the next term in -176, -501, -1362, -3029, -5772, -9861? -15566 What is the next term in 10872, 10333, 9784, 9225, 8656? 8077 What is the next term in -5792850, -5792859, -5792868? -5792877 What is next in 471, 526, 131, -708, -1985? -3694 What is the next term in 4624, 4675, 4712, 4735, 4744, 4739? 4720 What is the next term in 9750, 20109, 30466, 40821, 51174? 61525 What is the next term in 14754024, 14754026, 14754028, 14754030, 14754032? 14754034 What is the next term in 69, 134, 515, 1350, 2777, 4934? 7959 What is next in 1908, 3533, 5160, 6789, 8420, 10053? 11688 What is next in 4626, 18435, 41452, 73677, 115110, 165751, 225600? 294657 What comes next: -40182, -40322, -40576, -40962, -41498, -42202? -43092 What comes next: 400, -1656, -3712, -5768, -7824, -9880? -11936 What is the next term in 55190, 54711, 54244, 53795, 53370, 52975, 52616? 52299 What is the next term in -64752402, -259009621, -582771652, -1036038495, -1618810150, -2331086617, -3172867896? -4144153987 What is next in 898308849, 898308850, 898308851, 898308852, 898308853, 898308854? 898308855 What is next in 2598286, 2598659, 2599032, 2599405? 2599778 What is the next term in -4458791, -4458788, -4458785, -4458782, -4458779? -4458776 What is next in 4618, 18480, 41056, 71914, 110622, 156748? 209860 What comes next: 341, 91, -95, -187, -155, 31, 401, 985? 1813 What comes next: 2447189, 4894353, 7341491, 9788591, 12235641, 14682629, 17129543, 19576371? 22023101 What comes next: 5429795, 21719212, 48868251, 86876918, 135745219, 195473160, 266060747? 347507986 What is the next term in 1482, 2589, 3312, 3645, 3582? 3117 What comes next: 52703982, 52704000, 52704018, 52704036, 52704054? 52704072 What is the next term in -27507, -27371, -27129, -26775, -26303, -25707, -24981? -24119 What is next in 7612, 7667, 7762, 7897, 8072, 8287? 8542 What comes next: -109, -61, 355, 1325, 3035? 5671 What is next in -174019, -174052, -174135, -174292, -174547, -174924, -175447, -176140? -177027 What is the next term in 5374, 5156, 4570, 3430, 1550, -1256? -5174 What is the next term in -348417, -348529, -348833, -349425, -350401? -351857 What is next in -31560, -31431, -31248, -31011, -30720, -30375? -29976 What is the next term in 1217765776, 1217765772, 1217765766, 1217765758? 1217765748 What is the next term in -3933, -7935, -12061, -16353, -20853, -25603? -30645 What comes next: 534319, 536366, 538413, 540460, 542507, 544554? 546601 What is the next term in 8650, 35142, 79344, 141262, 220902? 318270 What comes next: 30089, 119908, 269455, 478730, 747733? 1076464 What is the next term in -171348, -171311, -171266, -171225, -171200? -171203 What comes next: -5889, -5719, -5559, -5409, -5269, -5139? -5019 What comes next: -241, -525, -973, -1561, -2265, -3061, -3925, -4833? -5761 What is the next term in -67232, -130785, -194338, -257891, -321444, -384997? -448550 What is the next term in 31966, 31946, 31900, 31816, 31682, 31486? 31216 What comes next: -61163, -122338, -183527, -244730, -305947, -367178, -428423? -489682 What comes next: 2881849, 2881862, 2881885, 2881918? 2881961 What is the next term in 149710, 149120, 148504, 147850, 147146, 146380, 145540, 144614? 143590 What is the next term in 3850, 4667, 5484? 6301 What is next in 8795966, 17591940, 26387914, 35183888, 43979862, 52775836? 61571810 What comes next: -1461653, -2923336, -4385021, -5846708? -7308397 What is the next term in 37854778, 37854808, 37854858, 37854928, 37855018, 37855128? 37855258 What is the next term in -510, -2593, -7990, -18357, -35350, -60625? -95838 What is the next term in -163257, -163248, -163263, -163314, -163413, -163572, -163803, -164118? -164529 What comes next: 20754, 83017, 186794, 332085, 518890, 747209, 1017042? 1328389 What is the next term in -182312, -364909, -547510, -730115? -912724 What is next in 2078, 1942, 1786, 1610, 1414, 1198? 962 What is the next term in 16253, 32115, 47977, 63839, 79701? 95563 What is the next term in 2044, 4423, 7426, 11365, 16552? 23299 What comes next: 2460816, 4921632, 7382452, 9843276, 12304104? 14764936 What is next in 6060001, 6059989, 6059977? 6059965 What is next in -48498, -48326, -48040, -47640, -47126, -46498? -45756 What comes next: 6865414, 13730831, 20596248? 27461665 What comes next: -16028753, -16028734, -16028677, -16028564, -16028377, -16028098? -16027709 What comes next: -4479, -4572, -4631, -4662, -4671, -4664? -4647 What is the next term in -42810, -42739, -42628, -42477? -42286 What comes next: -2335, -1813, -943, 275? 1841 What is the next term in 3274, 26241, 88564, 209917, 409974, 708409? 1124896 What comes next: -489, -1509, -3063, -5151, -7773, -10929? -14619 What comes next: 13555, 55042, 124161, 220912? 345295 What is next in -758, -1350, -1772, -2024, -2106, -2018? -1760 What is the next term in 6587107, 13174311, 19761515, 26348719, 32935923, 39523127? 46110331 What is the next term in -80986947, -80986950, -80986953, -80986956, -80986959, -80986962? -80986965 What is the next term in -53985, -107888, -161791, -215700,
{ "pile_set_name": "DM Mathematics" }
j be (-21)/(-30) + (-2)/(-4). Which is smaller: 0 or j? 0 Suppose -4*t = 2*p - 5*t, 3 = p - 2*t. Let c be p/5 + (-68)/(-140). Which is smaller: 0 or c? 0 Let v = 2 - 3. Let c be (-2006)/14*(2 - 1). Let h = c - -143. Which is greater: v or h? h Let h = 1.65 + -1.6. Let n = -7.95 - h. Which is smaller: n or 2/3? n Let i = -1.37 - 0.03. Let m = -1.5 - i. Is m bigger than -1? True Let b = -3.06 - -1.33. Let r = b + 1.8. Let s = r - -0.03. Is -2/7 not equal to s? True Let h = 168 + -178. Let k(c) = c - 4. Let q be k(-5). Which is smaller: h or q? h Let p = 8 - 9. Let j be (p/(-2))/(4/8). Let c be (3 + -2)*(1 - 0). Are j and c nonequal? False Let c(q) = -q**2 + 11*q - 10. Let t be c(7). Let i = -48 + t. Let w be (2/(-4))/(i/(-12)). Which is smaller: w or -1? -1 Let w = -372 + 13393/36. Which is smaller: -1 or w? -1 Let w = 1.18 - 1.08. Is 0.1 <= w? True Let k be (-6 + 207/36)/(6/160). Which is smaller: -6 or k? k Let b = 8 - 7.1. Let p = -1 + b. Is p > 2? False Let y = -26 - -19. Which is bigger: 1 or y? 1 Let v(b) = b**3 - 4*b**2 + b - 3. Let s be v(4). Let n = 130 - 121. Is s < n? True Let m be 0 + 2 + (-50)/22. Let f be 2 + (-3)/2*2. Is m equal to f? False Let p = 4.4 - 4. Let v = p - 0.3. Let g = -0.06 - -1.06. Is v != g? True Let a(y) = y**2 + 4*y + 3. Let u be a(-3). Let m = -2/11 + -1/55. Is u > m? True Let t = 1.3 - 0.3. Let n = -0.3 - -2.3. Let w = n - t. Which is greater: -1/4 or w? w Suppose -2*a - 2*n = -6*a + 30, 3*n = 2*a - 13. Let o = a - 7. Let f be o - 0 - 6/2. Is 0 smaller than f? False Let w be 4/(-12) - (-49)/3. Which is greater: w or 13? w Let a be (-8)/4*99/296. Let i = a - 3/37. Does i = 0? False Let z = 11 - 7. Which is greater: 1 or z? z Suppose -5*i + 0*i + d = -18, -3*d = 9. Suppose 0 = -5*k - 2*a + 3, -i*a = -0*k + k + 2. Let n be (-1 - -3*1)/k. Which is bigger: 3 or n? 3 Let b be 1*-6*(2 - 1). Let u be 3/(-9)*b/4. Which is smaller: u or 0.9? u Let u = -9 - -11. Let i be (24/4)/((-15)/u). Which is bigger: i or -1? i Let m be (-14)/70 + (-26)/(-5). Suppose 3*v - m*v - 20 = 0. Suppose -2*q - 30 = 4*j, 6*j = 3*j - 9. Is q bigger than v? True Suppose -2*j = -6*j. Is 0 at most j? True Suppose 4*l = -2 + 18. Suppose 0*c - 10 = -5*c. Suppose l*i = -c*s - 2, -4*s + 2*s = i - 1. Which is smaller: i or 2? i Suppose 9 - 7 = -2*f. Is f less than or equal to 2/293? True Let d = 36/17 - 248/85. Let y = 12 - 12. Is d > y? False Let y be 2 + (35/(-30) - 3). Which is smaller: y or -1? y Suppose 0 = 4*w + 2*k - 0*k + 48, 4*w + 60 = -5*k. Let b be -2 - (3 + w/1). Suppose -2*s + 0*s + 2 = b*l, 4*l + 4*s = -8. Is l smaller than 2? False Let l = -37756/93 - -406. Let g be 89/(-465)*(-5)/2. Let i = l + g. Is i < 0.1? False Let n = 6 - 5.7. Let q = n - -0.4. Is q less than -0.1? False Let a = 2 + -3. Let x be 1 - (2*-1)/a. Let o be (20/(-15))/(x/3). Is o >= -0.1? True Let u(n) = -n**2 - 3*n + 3. Let v be u(-4). Let f(x) = 2*x + 4. Suppose 5*c + 22 = d, 0*c - 19 = -2*d + 5*c. Let r be f(d). Which is smaller: r or v? r Let x be ((-5)/10)/((-2)/(-14)). Which is greater: -3 or x? -3 Let t be (0/(-7))/(1 + 2). Which is bigger: 1 or t? 1 Let g(q) = -4*q + 6. Let j be g(-8). Is 39 > j? True Let j = 2.1 + -2. Which is greater: -2/9 or j? j Suppose 2 + 1 = l - x, 5*l = -5*x - 15. Suppose l = 5*y + 9 + 1. Suppose -3*g + 6 = -6*g. Is y greater than or equal to g? True Suppose 3*j = -0*v - 3*v, -5*v - 4 = 4*j. Suppose j*d - 9 = -4*g + 3*d, 12 = -4*d. Let t = 22 + -21.9. Which is greater: g or t? g Let s = 7 - 4. Suppose 5*t + s = -2. Let r be 15/25 + (-22)/20. Is r <= t? False Let x(b) = 13*b - 7. Let p be x(2). Suppose -2*f + 5 + 31 = 0. Is p > f? True Let w be 9/(-15)*20/(-66). Is -1 less than or equal to w? True Let x = 22300/7 + -3199. Let n = x + 523/42. Is -1 at least as big as n? False Let d = 17 + -15.6. Let g = 0.6 - d. Let z = g - 0.2. Is 2 equal to z? False Suppose 4 = 5*o - 1. Let t(x) = -16*x + 97. Let n be t(6). Is n less than or equal to o? True Let j be 0 + -2 - -3 - -5. Let d be (j - 2)*6/(-8). Which is greater: -2 or d? -2 Suppose 0*u - 3*u + 6 = 0. Suppose -5 = s + 1. Let j be (u/2)/((-3)/s). Which is smaller: j or 4? j Let l = -0.407 - -0.107. Which is smaller: l or -10? -10 Let b be (-3 - -6)*4*1. Which is bigger: 13 or b? 13 Suppose 0 = 4*s - 5*u - 0*u - 19, 2*u + 5 = -s. Let b(y) = -3*y + 2. Let o be b(4). Let j be (12/(-105))/(o/(-25)). Is s bigger than j? True Suppose 17*q = q. Do q and -3 have different values? True Suppose -5*r = -10*r + 15. Let b be ((-6)/r + 2)*1. Let k = -11 + 10. Is k less than b? True Let y = 0 + 0. Is -1 at least y? False Let d be 276/9 - (-1)/3. Suppose -2*z = -m - 7*z + 23, -5*z + d = -3*m. Let v = 0 + m. Is v greater than or equal to -1? False Let y(l) = -4*l - 4. Let a be y(-3). Suppose -5*p - 5 = 5. Let x be (-2)/a + p/(-8). Which is smaller: x or 3/5? x Let y = -25/36 + 4/9. Let t = -8 - -10. Suppose -4*q + 5 = -5*b, t = -4*q - 2*b - 0. Is y != q? True Suppose 27 = 2*b + b. Suppose -3*w - b = -3. Let k = 1/12 - 3/4. Which is smaller: k or w? w Let q = -137/5 + 28. Let i(f) = -f**3 - 8*f**2 - 9*f - 13. Let b be i(-7). Which is bigger: q or b? b Let y = -23 + 24. Which is greater: 3/4 or y? y Suppose -4*d - 750 = 11*d. Is -50 bigger than d? False Let n = 6 + -3. Suppose -5*l + 7 = -3*i, 0 = -5*l + 4*i - n*i - 1. Is l greater than or equal to 2/11? False Let s = 0 - -3. Suppose 0 = -5*h - 5, -3*h - s = -2*i + 6. Let t be (-6)/(-16)*-2*-2. Is t at least i? False Let z = 0.97 - 0.87. Which is smaller: z or -2/41? -2/41 Let x(v) = v**3 - 2*v**2 + 2*v. Let p be x(3). Is p equal to 15? True Suppose 10 = 4*d - 9*d. Suppose 2*k = t - 0*k - 1, k = 0. Let j be (-2)/(-6) - (0 + t). Which is smaller: j or d? d Let z be ((-1)/4)/(18/(-72)). Which is smaller: 3/19 or z? 3/19 Let s(u) = 6*u + 65. Let w be s(-12). Which is bigger: w or -10? w Let q be (4/(-20))/(3/9). Which is greater: q or -0.3? -0.3 Suppose 4*g + 4*c = -0*g - 20, -3*g - 30 = -2*c. Let y be (g/12)/(42/9). Is y not equal to 0? True Let y = -5/13 - -53/104. Which is smaller: 0 or y? 0 Let i = 7.11 + -0.11. Let k = -0.126 + 0.026. Are i and k non-equal? True Let g = -0.13 + 0.33. Which is smaller: g or 2/11? 2/11 Let s(b) = 0*b**2 + 0*b**2 - 11 + b**2 - 3 + b. Let o be s(0). Which is bigger: o or -13? -13 Let p be (-5)/(70/581)*(-1 - 1). Which is greater: 82 or p? p Let p = 0.4 + -0.32. Let q = p + -1.08. Suppose -3*o + 0*o - 6 = 0. Which is smaller: q or o? o Let d(j) = -j**2 + 7*j. Let b(i) = -i**2 + 6*i + 3. Let g be b(6). Let h be d(g). Suppose 3*o + h = 0, -6 = -3*a - o + 4*o. Do a and -2 have the same value? True Let q(t) = -t**3 - 10*t**2 - 10*t - 9. Let f be q(-9). Which is bigger: f or 2? 2 Suppose -7 = -3*l + 8. Suppose -2*x = 3*y + 6, 0 = l*y + x + 4*x + 15. Let g = 13/6 - 3/2. Which is greater: y or g? g Let f = 6 + -26. Let j be f/(-72) + 2/9. Is j < 0? False Let h = -20/7 + 73/28. Suppose -3*y + 22 + 9 = 2*m, 17 = m + 2*y. Suppose 5*w + 5*p - 15 = 0, -4*w - m + 3 = -p. Which is greater: h or w? h Let n be 398/(-134) - (0 - (6 + -3)). Which is smaller: -1 or n? -1 Let h = -1 + -1. Let a be -4 + (8 - (4 - 3)). Let d = h + a. Is 1/2 at most as big as d? True Suppose 2*x + 10 = 3*i, x + 10 = 3*i - 4*i. Is -8 at least x? True Let j be 2/(-4) + 3/8. Let v = -3 - -2.8. Are j and v non-equal? True Let v = 7.9 + -8. Let h = 259749 + -74547874/287. Let y = h + -1/41. Do y and v have different values? True Let m = 109852/13 - 8446. Let h = 2309/559 - m. Which is smaller: 1 or h? h Let h be 3 + (0 - 166/(-6)). Let j = h + -31. Which is smaller: j or -1? -1 Suppose 0*v + 4 = 4*v. Let u be 4/(-6) + 0 + v. Is 0 bigger than u? False Let y = 76 - 70. Let v = 6 - -1. Is v less than y? False Let k = -0.033 - -0.033. Which is smaller: 0.5 or k? k Let n = 1895 - 5599/3. Let k = n + -29. Which is smaller: 0.3 or k? k Suppose 3*q + 0*q - 33 = 0. Let a be q*(-3 - 2) + 1. Let z be 4/10 - a/15. Is z bigger than 4? False Suppose 2*c - j = 28 + 51, -4*c - j = -143. Is c at least as big as 37? True Let j(b) = -b**3 + 6*b**2 - 6*b + 3. Let n be j(5). Let z be -1 + -5*1/n. Which is bigger: z or 3? 3 Let u = -2/457 - -932/4113. Is -0.7 bigger than u? False Let n(l) = l**2 - 8*l + 20. Let b be n(6). Are b and 7 nonequal? True Suppose a - 2 = 4*z, -2*z - 1 = -a + 1. Su
{ "pile_set_name": "DM Mathematics" }
lve -n*j + 11 = -5 for j. 4 Suppose 52 = -4*o - 0*o. Let t = 18 + o. Solve -t*w + 0*w - 15 = 0 for w. -3 Let z = -11 - -15. Suppose z = -2*t - 4*q, 5*t + 0*q - 8 = -q. Solve 9 = -t*n - n for n. -3 Let a be 27/5 + 63/105. Solve a*t - 3*t = 15 for t. 5 Suppose -q = 5*m - 2, 45 = 5*q + 35. Solve m = 18*y - 15*y - 9 for y. 3 Let v(x) = -10*x + 204. Let p be v(20). Solve 3*i - 2 - p = 0 for i. 2 Suppose -5*p = -2*j - 6, 7*p - 6 = -5*j + 9*p. Suppose -1 = l - 2. Suppose j*t - l + 2 = -k, -2*k = -5*t + 20. Solve -5*g - 3 = -t*g for g. -1 Let f(j) = 3*j - 9. Let x(b) = -b - 1. Let i(o) = f(o) + 6*x(o). Let n be i(-7). Solve 0 = u + u + n for u. -3 Let n = -84 + 84. Solve n = -v - 4 + 1 for v. -3 Let b(n) = 3*n - 11. Let q be b(5). Solve q*u - 5*u + 1 = 0 for u. 1 Let w(a) = a**2 + 2*a. Let h be w(-2). Let v be (-5 + 3 + h)*22/(-4). Solve -4*d - 1 = v for d. -3 Let o(t) be the first derivative of -t**3/3 - 3*t**2/2 + 3*t + 5. Let q be o(-3). Let h be 0/(-2)*(-8)/(-16). Solve q*n - 7*n + 20 = h for n. 5 Let f(d) = -d**2 + 26*d + 3. Let w be f(0). Solve w*q = 56 - 44 for q. 4 Let z be 5/6 - 30/36. Solve z = 6*q + 9 + 21 for q. -5 Let m = 3 - 1. Let d(c) = -5*c**2 + 7*c**m - c**2 - c + 8. Let w be d(0). Solve 2*b + 2 + w = 0 for b. -5 Let t = 24 + -12. Let b = t + -13. Let o = b - -5. Solve -h = o*h for h. 0 Suppose -2*o - 4 = 4*p, 3*o = 3*p + 8 + 22. Solve o + 18 = 6*v for v. 4 Let v = 6 - 8. Suppose 15 = 5*r + 5*o, -o + 9 = 2*r + 2. Let t = v + r. Solve -t*i = -i for i. 0 Let t be (-42)/(-9) - (-6)/(-9). Suppose -367*i + 51 = -364*i. Let p = -5 - -6. Solve -i = -t*y - p for y. 4 Suppose 10 + 15 = 5*x. Suppose -x = -n - 0. Solve -m + 0 = n for m. -5 Suppose 0 = -3*f + 10*g - 6*g + 28, 5*g = 2*f - 28. Solve f*s - 37 = -21 for s. 4 Let o be -5 - 10/20*-42. Let n be (2 - 2)/(-1 + 0). Solve n = 3*d + d + o for d. -4 Let x be (-1 + (-10)/6)*(-12)/8. Suppose 4*p - 4*h + h = 13, x*h = -3*p - 9. Let m = 2 + 1. Solve s + m = -p for s. -4 Let r(j) = j**2 + 7*j - 16. Let x be r(-9). Let a(s) = 1 - 2 - 13*s**x - 13*s - 2 - 3*s**3 + 2*s**3. Let w be a(-12). Solve -3*l = w + 6 for l. -5 Suppose 0*j + 15 = 5*o + j, 0 = 2*o + 4*j + 12. Suppose -4*h - 3*n = -o*n - 15, 3*h = 5*n + 24. Solve -15 = -h*u + 8*u for u. -3 Suppose 3*h = 2*x + 18, -5*h - 4*x + 2 + 6 = 0. Solve -3*v - h = 2 for v. -2 Let x be (-2)/8 + 903/28. Let r = 20 - x. Let a be (-34)/r - (-3)/18. Solve 17 = 4*d - a for d. 5 Let y be 14/2*1380/(-483). Let x = 28 - 2. Let o = y + x. Solve -3*h - 3 = o for h. -3 Let c(l) = -6*l - 2. Let k be c(-1). Suppose 2*t - 34 = -k*b, -4*b - t - 7 = -6*b. Let g be 1/((b/(-9))/(-2)). Solve 2*a + 7 = g for a. -2 Let v be (6/(-4))/(3 - 49/14). Let n = -1 + 4. Let o = -1 + n. Solve o + v = -5*p for p. -1 Let g be ((-4)/(-8)*-8)/1. Let h be (-42)/(-35)*(-10)/g. Solve -8*v + h*v - 20 = 0 for v. -4 Let w = -144 - -148. Solve -w*o - 3*o = -2*o for o. 0 Let k(g) = -g**3 + 30*g**2 + 64*g + 16. Let o be k(32). Solve -92*w + o = -88*w for w. 4 Suppose -6*a - 17 = -7*a + 3*w, 3*a + 5*w - 37 = 0. Solve a*t - 16 = 10*t for t. 4 Let l(b) = 5*b + 1. Let t be l(-1). Let c be ((-6)/t)/((-33)/(-440)). Solve -6*d + c = -d for d. 4 Let t = 1121 + -1116. Solve -8 = -t*z + z for z. 2 Let k(v) = 6*v + 9 - 9*v - 1 + 2*v. Let y be k(3). Solve -y*h - 5 = 5 for h. -2 Let s be 132/30 + -2 - (-6)/10. Solve -s*h + 3 = -0*h for h. 1 Let t(o) = o**3 + 6*o**2 + 9*o. Let y be -7 + 2 + 7 + 15/(-3). Let w be t(y). Solve -q + 0 + 2 = w for q. 2 Suppose -110 = -6*y - 5*y. Let p = -3 + 5. Suppose p*d = a + 5*d - 15, 2*d = y. Solve -u - 4 = -a for u. -4 Let s = -574 + 599. Solve f + s = -4*f for f. -5 Suppose 2*x - 15 = -x. Suppose -x*q + 16 = -q. Suppose 2*w = -w - 15, 4*w = -q*d + 12. Solve -d = -o - o for o. 4 Let d be 14 - 7 - (-2 + 7). Solve -8*a - d = 30 for a. -4 Let o be (-2)/(-5) + (-8)/(-5). Let a(q) = q**3 + q**2 - o*q**2 - 4*q + 2*q + 3. Let d be a(2). Solve d = -4*u + 11 for u. 2 Suppose 6 = 2*q, -2*q + 14 = 2*g + 2*q. Solve 4*l = g + 11 for l. 3 Let a(f) be the first derivative of f**2/2 - 5*f + 18. Let o be a(5). Solve -t + 2*t - 3 = o for t. 3 Suppose 12*n = 29*n + 20*n. Solve n = -2*k - 3 + 7 for k. 2 Let c = -14 - -1. Suppose 9*p + 75 = 14*p. Let s = p + c. Solve -s*g + 1 = -3*g for g. -1 Suppose 2*m - 3*m + 10 = 0. Let r be 5/15 - m/(-6). Solve r*l + 9 = 1 for l. -4 Suppose -5*m + o = -44, -5*m + m + 5*o = -52. Solve 7 - m = v for v. -1 Let q = -33 - -25. Let t be q/(-10) + (-11)/(-5). Suppose v + 4*o = -t, 1 - 23 = -4*v + o. Solve 4*l - v = -l for l. 1 Suppose 5*d - 3*d = -6. Let x be (-11)/d + 4/(-6). Solve -22 - x = -5*h for h. 5 Let n = -13 - 4. Let o = -2 - n. Suppose 8*w - 3*w - o = 0. Solve 5 + 4 = w*a for a. 3 Let z = -201 + 218. Let a be 29/9 + 4/(-18). Suppose -5*n = 2*g - z, a*g - 2*n = -4*n + 9. Solve 2 + g = w for w. 3 Let j = 80 + -80. Suppose 0 = 5*r - 0*r - 3*k + 5, r = -k + 7. Solve j*a = -r*a - 4 for a. -2 Let s = -239 - -266. Solve -s*d - 5 = -26*d for d. -5 Let u be (-2 + 4)/((-4)/(-10)). Suppose -4*z + 4 = -q + 3, 0 = -u*q - 5*z + 45. Let y be (1 + 0)*17/1. Solve -y + q = 2*p for p. -5 Let t = 267 - 257. Solve -1 = -3*c - t for c. -3 Suppose 0 = 2*i + 2*f - 2, -14*i + 1 = -10*i + 5*f. Solve -24 = i*u - 10*u for u. 4 Let c(d) = -6*d + 4*d - d - 2 + 1 + d**2. Let t be c(4). Solve t*g = -2*g + 15 for g. 3 Let g = -31 + 37. Suppose 0 + 0 = -g*x. Solve -p - 2 + 1 = x for p. -1 Let n(q) = -q**3 + 17*q**2 - 14*q - 18. Let t be n(16). Solve -t*v = -0*v - 42 for v. 3 Let g be (0*(-4)/12)/(-2). Suppose g = 2*u - 0*u - 34. Solve -1 = -4*y - u for y. -4 Let v(i) = i**2 + 19*i + 97. Let b be v(-10). Solve 7*n - b - 28 = 0 for n. 5 Let p(t) = -4*t - 26. Let o be p(-7). Solve -o*s + 1 = -s for s. 1 Let h be 2 + (-1 + -1)/(-2). Let v(k) be the first derivative of -9*k**2/2 + 7*k + 1. Let u be v(-2). Solve 2*j = -h*j - u for j. -5 Suppose -16*v + 19*v = -20*v. Solve v = y - y + 10*y for y. 0 Suppose 33 = 5*j + 13. Suppose 2*n - j*q = 4*n - 12, 0 = -4*n + 3*q + 2. Solve -n*t + 0*t = -6 for t. 3 Let z = 85 + -82. Let q(u) = -4*u + 12. Let f be q(z). Solve f*n = n for n. 0 Suppose 131 - 167 = -6*o. Solve -o*j = -4*j - 6 for j. 3 Let j = 29 - 23. Let g be j*(10/(-4) - -3). Solve -g*m + 12 = 3 for m. 3 Suppose 7 = -2*k + 3*k. Suppose 4505 = 213*d - 820. Solve -2*f + k*f = d for f. 5 Let d(m) = -5*m**3 + m**2. Let a be d(-1). Suppose -3*b = b + 4*p + 80, -a = -3*p. Let j = 24 + b. Solve -j*g - 6 = -0 for g. -3 Let u = 89 - 30. Suppose -4*v + 2*z + 10 = 0, -5*v - 3*z - 19 = -u. Solve 9 = v*r - 1 for r. 2 Suppose 31*y - 18 = 22*y. Solve 19*d - y = 21*d for d. -1 Suppose 4*b + 1 = 5*v + 3, 4*b + 18 = -5*v. Let g be 12 - 3 - (1 - v). Suppose 0*a - 3*a + g = 0. Solve a*h = -3*h + 25 for h. 5 Suppose -2*f = -2*d - 10, f + 5*d = 5*f - 20. Let i = -2 + f. Let o = -194 - -194. Solve o*s + i*s = 0 for s. 0 Let g = -19 - -36. Suppose 0 = 3*o + 2 - g. Solve o*f + 2 = -3 for f. -1 Let p = 1069 - 1047. Solve -40 = -p*u - 106 for u. -3 Suppose -44 = -7*j + 201. Solve -j = -3*l - 23 for l. 4 Let c(s) = -s**2 - 6*s - 5. Let f be c(-2). Solve 0 = -6*i + f*i for i. 0 Let k(f) = -2*f + 36. Let t be k(17). Suppose -3*v - 8 = -t*b - 0*b, -2*b + v = -8. Solve 0*r - 4 = -b*r for r. 1 Let o be 1 + 0 + (-6)/(-2). Let f(m) = m + 5. Let t be f(-2). Let r be -4 - (t - 3 - 4). Solve 0 = 4*a + o - r for a. -1 Let k = 276 - 254. Solve -14*z - k - 34 = 0 for z. -4 Let v = 28 - 20. Suppose 2*g - v = -4. Solve -g*p + 4 = -2 for p. 3 Suppose 4*m = -2*m. Suppose m = -r - 8*r + 45. Solve 0*j + r = -5*j for j. -1 Let m = 18 - 72. Let y = 72 + m. Solve -3*p = y - 3 for p. -5 Let b(d) = d**2 - 2*d + 1. Let k be b(1). Let n be (64/6)/(16/24). Suppose -n + 46 = 2*u. Solve k*o + u = -3*o for o. -5 Suppose 22 = 5*i + z, 4*i - 28 - 7 = 5*z. Let x be (-26)/(-143) + (-174)/(-11). Let v = -16 + x. Solve i = -v*n + 5*n for n. 1 Suppose 4*j - 3 = v + 4, -j = -4*v - 13. Let c(q) = 5*q - 2. Let i be c(j). Solve 0 = 2*p + 5 - i for p. -1 Let s = -123 + 61. Let c = 62 + s. Solve -3*p - 2*p + 25 = c for p. 5 Let b(k) = -8*k - 276. Let r be b(-36). Solve 3*j + 0*j - r = 0 for j. 4 Suppose -u = 4*u - 15. Let f be (7 + -13)/((-6)/16). Suppose z = -u*z + f. Solve -z*w - w + 10 = 0 for w. 2 Let q(z) = -25*z - 143. Let j be q(-6). Suppose 2*k - j - 13
{ "pile_set_name": "DM Mathematics" }
-l(j) + 99*p(j). -1661*j Let p(g) = 5*g**2 - 284*g - 4. Let i(l) = -6*l**2 + 298*l + 4. Calculate -2*i(d) - 3*p(d). -3*d**2 + 256*d + 4 Let n(f) = -46*f + 45 + 42*f + 44 + 49 - 131. Let i(b) = -b + 2. Let v(o) = -o**3 - 5*o**2 + 8*o + 5. Let z be v(-6). Give z*i(c) + 2*n(c). -c Let t be (-15 - 455/(-52)) + 2/8. Let j(h) = 6*h**2 - 3. Let q(y) = 7*y**2 - 4. Give t*j(k) + 5*q(k). -k**2 - 2 Let p(k) = -2*k**3 + 914*k**2 - 1869*k**2 + 958*k**2. Let h(x) = -x**3. Calculate 4*h(g) + p(g). -6*g**3 + 3*g**2 Let y(k) = k**3 - k + 622*k**2 - 915*k**2 + 1 + 292*k**2. Let i(c) = 4*c**3 - 8*c**2 - 4*c + 7. What is -i(u) + 6*y(u)? 2*u**3 + 2*u**2 - 2*u - 1 Let f(g) = g**3 - g**2 - g + 1. Let i(s) = -2*s**3 + 4*s**2 + 4*s - 6. Let h = 176 - 177. Let c be (-2 + h)*(196/(-21) - -9). What is c*i(a) + 4*f(a)? 2*a**3 - 2 Let v be -10 + (5 - 10) + -5. Let u(b) = 28*b. Let i(z) = -9*z. What is v*i(l) - 6*u(l)? 12*l Let w be (2/6)/(8/24). Let k(n) = n**2 - n + 1. Let y(o) = -3*o**2 + 3*o - 1. Suppose 0 = -2*f + 4*z + 22, -13 + 32 = -f - 4*z. Determine f*k(r) + w*y(r). -2*r**2 + 2*r Suppose 362*k + 12 = 365*k. Let x(c) = -31*c + 23*c + 12*c - k - 3*c**2. Let m(n) = n**2 - n + 1. What is -4*m(r) - x(r)? -r**2 Let k(x) = x**2 - 1. Let s(d) = -3*d**2 - 9*d - 5. Let h(l) = -l**2 - l - 3. Let w(y) = -14*h(y) + 7*s(y). Determine 5*k(j) + w(j). -2*j**2 - 49*j + 2 Let r(t) be the second derivative of -21*t**5/10 + 2*t**3/3 + 8*t**2 - 164*t - 5. Let j(u) = 14*u**3 - u - 5. Give -10*j(w) - 3*r(w). -14*w**3 - 2*w + 2 Let m(q) be the second derivative of q**4/12 - q**2/2 + 37*q + 2. Let c be ((-30)/(-5))/(-2)*1. Let r(l) = -4*l**2 + 3. What is c*m(x) - r(x)? x**2 Let c(n) be the first derivative of -3*n**4/2 + 5*n**3/3 - 5*n**2/2 - 5*n - 2439. Let k(p) = 3*p**3 - 3*p**2 + 3*p + 3. What is 3*c(i) + 5*k(i)? -3*i**3 Let f(t) = -20*t**3 - 10*t**2 - 16*t. Let u(j) = 5*j**3 - 3601*j + 2*j**2 - j**3 + 3604*j. What is -3*f(o) - 16*u(o)? -4*o**3 - 2*o**2 Let q(k) be the first derivative of -3*k**2/2 - 2*k - 3438. Let x(r) = -r. What is q(g) - 6*x(g)? 3*g - 2 Let p(q) = -88092*q**2 - 24. Let g(w) = 25169*w**2 + 7. Determine -24*g(d) - 7*p(d). 12588*d**2 Let k(q) = 7*q**2. Let u(i) = 10*i**2 - 3*i**2 + i**2. Let b be ((-70)/8 - 2 - 107/428) + (11 - 5). Give b*u(h) + 4*k(h). -12*h**2 Let v(b) = -4*b**2 + 5*b + 21. Let m(j) = -5*j**2 + 22*j + 238. Let l be m(-5). Let c(k) = -2*k**2 + 3*k + 11. Determine l*v(o) - 5*c(o). -2*o**2 + 8 Let p(u) = 2*u + 5. Let f = 40 + 1. Let r = 46 - f. Let t(v) = 3*v - 133 + 154 + r*v. Calculate -9*p(l) + 2*t(l). -2*l - 3 Let r(t) = -19*t + 14*t**2 - 95*t**2 - 14*t. Suppose 8*o - 3654 = 138. Let k = o - 507. Let b(u) = -5*u**2 - 2*u. Determine k*b(y) + 2*r(y). 3*y**2 Let x(r) = -r**2 + r + 2. Let n be x(0). Let c(j) = 1 + j**n - 2*j - 3 + 0*j. Let t(h) = -177 + 86 + 5*h**2 - 3*h + 88 - 4*h**2. Calculate 3*c(w) - 2*t(w). w**2 Let n(m) = -m**3 + 13*m**2. Let j be -1 + 1 + 6/(-6) + 3. Suppose 11*s = -3*k + 12*s + 25, -8 = 2*s. Let c(i) = -4*i**2. What is j*n(h) + k*c(h)? -2*h**3 - 2*h**2 Let b(i) = 481*i**2 + 65*i - 65. Let v(a) = -15*a**2 - 2*a + 2. Let t be ((-24)/(-6) - -6) + -8. Determine t*b(f) + 65*v(f). -13*f**2 Let w(d) = 18 - 23*d + 77*d - 40*d - 6. Let o = -74 + 80. Suppose o*i = -5*i + 44. Let k(b) = 5*b + 4. Calculate i*w(u) - 11*k(u). u + 4 Let r(l) = 2*l - 9. Suppose -2*k + 3*j + 13 = 0, -k + 14 = -3*j + 3. Suppose 4*w - 30 = k. Let y = 30 - 25. Let a(o) = -3*o + 14. Give w*r(h) + y*a(h). h - 2 Let u(g) = 8*g**2 + 308681*g - 13*g**2 - 308678*g + 3*g**2 + g**2. Let m(a) = -a. Let w be 6/4*2/(-3). Let c be 6/((2 + 0)*-1). Give c*m(t) + w*u(t). t**2 Let m(d) = 27*d**2 + 33*d + 8. Let v(w) = -9*w**2 - 9*w - 3. What is 2*m(g) + 7*v(g)? -9*g**2 + 3*g - 5 Let o(x) = -3*x - 10. Let q(g) be the third derivative of g**4/24 + g**3/3 + 23*g**2. Let u(y) = 5*y + 9. Let h(v) = -6*q(v) + u(v). What is 7*h(j) - 2*o(j)? -j - 1 Let o be (-819)/161 + 5 - 325/(-299). Let q(i) = i**2 + i - 5. Let m(j) = j**3 - j**2 - j - 1. Calculate o*m(x) + q(x). x**3 - 6 Let l(r) = 11*r**2 + 199*r - 65. Let k(s) = -5*s**2 - 99*s + 30. Calculate -13*k(i) - 6*l(i). -i**2 + 93*i Let d(o) = 25*o**3 - 7*o**2 - 7*o - 49. Let u(g) = 24*g**3 - 7*g**2 - 6*g - 39. Give 4*d(i) - 5*u(i). -20*i**3 + 7*i**2 + 2*i - 1 Let n(s) = -220*s**2. Let d(i) = 29 - 213*i**2 + 193*i**2 - 29. Give -65*d(z) + 6*n(z). -20*z**2 Let s(c) = -82*c**2 + 12*c + 6524. Let w(v) = -34*v**2 + 5*v + 2610. Determine 5*s(f) - 12*w(f). -2*f**2 + 1300 Let b(a) = 5*a - 30. Let i(g) = -6*g + 318. Let r(n) = 6*n - 302. Let t(h) = -17*i(h) - 18*r(h). What is 5*b(j) + 4*t(j)? j - 30 Suppose -98*i + 65*i = -66. Let x(f) = 8*f - 13. Let t be x(2). Let z(v) = 2*v - 1. Let g(h) = -h + 2. Give i*g(d) + t*z(d). 4*d + 1 Let y(i) = -3*i - 24. Let f(r) = -19*r - 164. Let v(q) = -2*f(q) + 13*y(q). Let s(j) = -j + 17. What is 4*s(t) - 3*v(t)? -t + 20 Let t(z) = 2*z - 94. Let r(l) = -8*l + 282. Determine 2*r(x) + 7*t(x). -2*x - 94 Let d(h) = -h**2 - 2*h. Let m(i) = 3*i**2 + 5*i. Suppose 456 = -6*k - 146*k. Determine k*m(c) - 5*d(c). -4*c**2 - 5*c Suppose 0*n - o = -5*n + 19, -4*n + 5*o + 11 = 0. Let j(i) = -i**3 - 3*i**2 - i + 1. Let z be j(-2). Let h(f) = f. Let g(p) = -p. Determine n*h(c) + z*g(c). 5*c Let i(o) = 7663*o**2 - 40*o + 10. Let u(n) = 2*n**2 + 8*n - 2. Calculate -2*i(a) - 10*u(a). -15346*a**2 Suppose -12*k - 13 = 14 - 3. Let s(y) = 18*y**2 - 11*y. Let r(i) = i**2 - i. Calculate k*s(q) + 22*r(q). -14*q**2 Let r(k) = -4*k**3 + k**2 + 2*k - 3. Let b(h) = -29*h**3 + 6*h**2 + 14*h - 632. Determine b(m) - 6*r(m). -5*m**3 + 2*m - 614 Let i be -2*(-19)/(-8) - 25/20. Let t(q) = 5*q**3 + 3*q - 3. Let k(u) be the first derivative of -u + 1/2*u**2 + 0*u**3 + 19 + 1/4*u**4. Give i*k(f) + 2*t(f). 4*f**3 Let j(l) = 325*l**3 + 15*l**2 - 10. Let r(u) = 1299*u**3 + 63*u**2 - 42. What is 21*j(z) - 5*r(z)? 330*z**3 Suppose -24 = 6*x - 0. Let u(n) = -8*n**3 + 4*n**2 - 2*n - 3. Let d(v) = 2*v**2 + 24*v**3 - 25*v**3 - v**2 - 1. Determine x*d(m) + u(m). -4*m**3 - 2*m + 1 Let f(h) = -h**2 - h - 1. Let g(m) be the third derivative of m**5/15 + 5*m**4/24 + 5*m**3/6 - 1061*m**2. Give 5*f(n) + g(n). -n**2 Let y(k) = k**2 + 1. Let q(d) = 7*d**2 - d + 4. Let t = -324 - -329. Suppose 5*j - 3*g = 5, 5*j - 6*g = -9*g + t. Determine j*q(r) - 6*y(r). r**2 - r - 2 Let m(v) = 0*v + 436*v**2 - 434*v**2 - 3 + 0 + v. Let l(p) be the first derivative of -p**3/3 + 2*p + 17. Determine -5*l(k) - 3*m(k). -k**2 - 3*k - 1 Suppose -3*w + 4*w = 7. Let t(x) = -3*x - w + 5*x - 3*x - x. Let v(a) = 41*a. Let o(b) = -27*b + 2. Let c(k) = 3*o(k) + 2*v(k). Calculate -7*c(i) - 6*t(i). 5*i Let i(w) = 2381*w**3 - 2*w - 1. Let v(b) = -2*b**3 - 2*b - 1. What is -i(h) + v(h)? -2383*h**3 Let f(o) = -o - 8. Let l(k) = -k + 1. Let g be (-1 - (64/(-8) + 7 - -1))/1. Give g*f(r) - l(r). 2*r + 7 Let k(x) = -6*x**3 + 4*x**2 - 6*x - 2. Let c(z) = z**3 - z**2 + 2*z. Let j(i) = 12*c(i) + 3*k(i). Let a(s) = -s + 1. Determine 24*a(p) + 4*j(p). -24*p**3 Let i(d) = -d**3 + 1. Let t(l) = -706*l**3 + l + 1 - 711*l**3 + 2 + 2122*l**3 - 702*l**3. Determine -2*i(j) + t(j). 5*j**3 + j + 1 Let n(p) = -3*p**3 + 7*p**2 - 7*p - 85. Let u(d) = -2*d**3 + 4*d**2 - 4*d - 45. Calculate -4*n(b) + 7*u(b). -2*b**3 + 25 Let a(p) = 3*p**3 - p**2 - 2*p + 3. Let m(v) = 6*v**3 - 2*v**2 - 5*v + 7. Suppose -468*d + 45 = -477*d. Give d*a(i) + 2*m(i). -3*i**3 + i**2 - 1 Let l(z) = -z**2 + z - 1. Let r(k) = -2*k**2 + 3*k - 6. Suppose 0 = 4*v - 3*t + 645, 13*t = -v + 17*t - 145. Let o = -166 - v. What is o*r(f) + 4*l(f)? -2*f**2 + f + 2 Let l(x) = 5*x**3 + 8*x**2 - 1. Let v(b) = -51*b**3 + 48*b**2 - 9. Give 6*l(i) - v(i). 81*i**3 + 3 Let y(z) = -2067*z**2 + 2*z + 6. Let i(n) = -2080*n**2 + 2*n + 7. What is -6*i(b) + 7*y(b)? -1989*b**2 + 2*b Let s(c) = 49*c**2 - 101*c + 2. Let n(i) = 362*i**2 - 708*i + 15. What is -2*n(z) + 15*s(z)? 11*z**2 - 99*z Let c(h) = -378*h + 190*h - 3 + 189*h. Let t(u) = -2*u + 5. Let f be -3 + 6/(0 + -3). Give f*t(a) - 8*c(a). 2*a - 1 Let z(h) = -48*h**3 - 3*h**2 + 5*h + 20. Let y(t) = -t**3 - t**2 + t + 4. Determine 5*y(j) - z(j). 43*j**3 - 2*j**2 Let m(o) = 2*o**3 - 3*o + 5. Let w(h) = 14*h + 110. Let q be w(-7). Suppose -857*v + 851*v = -q. Let b(z) = -z**3 + 2*z - 6. Give v*m(s) + 3*b(s). s**3 - 8 Let
{ "pile_set_name": "DM Mathematics" }
2941*l + 8889*l - 2947*l. Give i(q). 30 Let u = -166 + 197. Let m(h) = 128*h - 33*h - 30*h - u*h - 35*h. Calculate m(3). -3 Let i(n) = -15. Let a(t) = t + 2. Let q(m) = 6*a(m) + i(m). Let s(b) = -b**3 - 8*b**2 - 7*b - 3. Let p be s(-7). Calculate q(p). -21 Let y(k) = 721370*k - 4 + 5 - 5 - 721372*k. Suppose f + 17 = -3*o, 3*o = f - o + 3. Calculate y(f). 18 Let x(a) be the third derivative of a**4/24 + a**2 - 13. Let b be x(5). Let g(t) = 2*t**2 - 11*t - 5. Calculate g(b). -10 Let f(k) = -15*k**2 + 5*k - 2. Let a(p) = 37*p**2 - 11*p + 4. Let d(g) = 2*a(g) + 5*f(g). Suppose 24*l - 6 = 21*l. Calculate d(l). 0 Let j(x) = x**2 + 14*x - 55. Suppose 290*g + 3*h = 295*g + 80, 0 = 3*g - 3*h + 48. Determine j(g). -23 Let j(p) = 7*p**3 - 11*p**2 + 48*p + 16. Let g(o) = 20*o**3 - 33*o**2 + 138*o + 47. Let m(b) = 6*g(b) - 17*j(b). Determine m(9). -44 Let f(x) = 4*x + 24. Let y be f(-7). Let s be (48/y - -2)*3/(-6). Let h(o) = s*o - 7*o - 2 - o + 4*o. Give h(2). 0 Let o(y) = -y**2 - 7*y - 1. Let p be 2/(-9) - (-2 + 11/(-9)). Let z be (-1*p)/((-66)/30 - -2). Suppose 9*m = z*m + 30. Give o(m). 9 Let h(v) = 5*v**2 - 3*v + 4. Let g = -331 - -331. Let r be h(g). Let x(t) = t + 1. Calculate x(r). 5 Let j = -1516 - -1526. Let b(t) be the first derivative of -8 + 5*t**2 + 1/4*t**4 + j*t + 10/3*t**3. What is b(-9)? 1 Let n(b) = -1 + 4*b**2 + 3*b**3 + 2*b**3 - 4*b**3 - 2*b**2. Suppose -5*s = -5*r - 835, 0*s - 491 = -3*s + r. Let x = s + -161. Calculate n(x). 2 Suppose -4*s = -2*p - 8, 69*p = 64*p - s - 20. Let v(b) = -3*b**3 - b**2 + 5*b - 2. Let c(a) = 7*a**3 + a**2 - 10*a + 4. Let h(x) = -2*c(x) - 5*v(x). Give h(p). 6 Let g(w) be the second derivative of w**5/20 + 5*w**4/12 + w**3/6 + w**2/2 - w. Suppose 7*d + 849 - 275 = 0. Let h = 77 + d. Calculate g(h). -4 Let i(f) = 4*f**2 - 187*f + 426. Let a be i(44). Let j(q) = q**3 + 59*q**2 + 55*q - 178. Give j(a). -4 Suppose -20*g = -109*g - 135*g - 1344. Let m(y) = 24*y + 133. What is m(g)? -11 Let s = 3242 - 2241. Let t(q) = -2012*q + 997*q - 10*q**2 - q**3 - 8 + s*q. Calculate t(-9). 37 Let z = -126 + 230. Let u = -97 + z. Let c(j) = 4 + 6 - 15*j - u - 2. Calculate c(2). -29 Suppose 80 = -5*h - 0*h. Let u = -6 - h. Suppose o - 2*o + u = 2*q, 0 = 5*q - 20. Let f(t) = t**3 - 4*t**2 + 2*t + 2. Calculate f(o). -2 Let h(r) = r**2 - 4*r - 1. Let m = 9854 + -9856. Determine h(m). 11 Let f(s) = 3*s + 2. Let t(u) = -2*u - 7. Let o(k) = 2*f(k) + 5*t(k). What is o(-15)? 29 Let x = -521 - -496. Let w be (-2 + x/(-20))*-8. Let z(j) = 3 - 5 - 4 + j. What is z(w)? 0 Let m(o) = 2*o**2 - 2*o + 1. Let t = -50 - -86. Suppose a = -3*a + t. Suppose -8 = -4*y - 4*g, -3*g + 5 = -y - a. Give m(y). 13 Let y(g) = 24*g - 6*g + 1 - 3*g**2 + g**2 - 17*g + g**2. What is y(-2)? -5 Let j(h) be the third derivative of h**4/24 + 5*h**3/3 + 1037*h**2. Calculate j(8). 18 Let z(i) = i**2 + 2*i + 7. Let o be 27 + 11136/(-319) - 24/22. What is z(o)? 70 Let f(i) = -i**3 + 324 + 39*i**2 - i - 606 + 271. Give f(39). -50 Let w(m) be the third derivative of -m**6/120 - 8*m**5/15 - 5*m**4/2 + 4*m**3/3 + 5*m**2 + 3*m + 14. What is w(-30)? 8 Suppose 8*y - 66 - 6 = 0. Let g(w) = 67*w + 11 + 7756*w**2 - 59*w - w**3 - 7748*w**2. Determine g(y). 2 Let i(d) = 2*d**3 + 2*d**2 + d + 1. Let w(k) = 9*k**3 + 18*k**2 - 6*k + 10. Let g(o) = 5*i(o) - w(o). Suppose 3*m = 2*m + 7. Calculate g(m). 23 Let p(d) = -22*d - 34. Let q(z) = -17*z - 30. Let x(y) = 3*p(y) - 4*q(y). Give x(-5). 8 Let k = -406 + 415. Let l(x) = -k + 5*x - 4*x + 22 + x**3 - x**2. Give l(0). 13 Let m(y) = -164*y + 988. Let z be m(6). Let q(r) = 37*r - r**3 + 2*r**2 + 2 + 33*r - 67*r. Give q(z). -18 Let t(m) = -2*m**2 - 3*m - 2. Let o be t(-2). Let x(v) be the third derivative of v**5/60 + 3*v**4/8 + 5*v**3/6 + 12*v**2 + 5*v - 7. What is x(o)? -15 Let j(u) = u**3 - 18*u**2 + 2*u - 29. Let o be j(18). Let l(p) = -44*p - 8. Let r(f) = -53*f - 8. Let y(i) = -6*l(i) + 5*r(i). Calculate y(o). 1 Let d be ((-804)/(-72))/(2 - (-11)/(-6)). Let n = -66 + d. Let z(s) = -12*s + 2 + 3 - 4. Determine z(n). -11 Let i be 24/20*(3 - 7)/(-4)*-5. Let h(m) = m + 23. Calculate h(i). 17 Suppose 4*j - 22 = -2*r, 2*r + 70 = 6*r - 5*j. Suppose n = r - 3. Let z(y) = -y**3 - 2*y**2 + 2 - n*y + 13*y + 3*y**3 - 3*y**3. Determine z(-2). 0 Let o be (-248)/(-20) - (-4)/(-10). Let y(q) = 6*q**2 + 5*q + 6*q**2 - 4*q**2 - 3 - q**3 - o*q**2. Let d = -40 + 35. Calculate y(d). -3 Let j(h) = 49 + 45 - 9*h - 8 + 1 + 32. Determine j(14). -7 Suppose 2*g + 2*g = 1530*c - 1532*c - 4, 0 = -4*c - 24. Let j(i) = i. Let f(z) = -3*z + 3. Let a(b) = f(b) - 5*j(b). What is a(g)? -13 Suppose 2*b = -3*o - 19, 4*o + 0*o + 14 = 3*b. Let w(v) be the first derivative of 2*v + 3/2*v**2 + 2 + v**3 + 1/2*v**4. Determine w(b). -8 Let s(m) = 702*m - 1905. Let o(d) = 261*d - 634. Let r(p) = -8*o(p) + 3*s(p). Give r(35). -13 Let j(y) = -2*y - 1. Let c(p) = 53*p - 248. Let m be c(6). Suppose -12*t + m = -26*t. Give j(t). 9 Let u(f) be the second derivative of -4*f**3/3 - f**2/2 + 360*f. Determine u(-5). 39 Suppose -38 = -d + 5*t, 4*d = 10*t - 12*t + 86. Let w(p) = -17*p + 386. What is w(d)? -5 Let t = 40 - 30. Let g(y) be the third derivative of -y**6/720 + y**5/20 + y**4/8 - 11*y**3/6 + 63*y**2. Let u(w) be the second derivative of g(w). Give u(t). -4 Let v(i) = -10*i**2 + 52*i - 6. Let b(d) = 3*d**2 - 28*d + 4. Let u(c) = -11*b(c) - 6*v(c). Give u(-2). 108 Let q(g) = -g**2 + 4*g + 18. Let k be 12/9 + 0 - (-120)/72. Let z be (k + -6 + -1)*(-105)/70. Determine q(z). 6 Suppose -14*x - 25 = -19*x. Suppose 3*g + 2*j - 108 = -2*g, g + x*j - 40 = 0. Let h(l) = -3*l + 54. Let d be h(g). Let v(b) = -b**2 - 6*b. Calculate v(d). 0 Suppose 0 = -8*n + 109 + 67. Let r(o) = o - 23 - n + 43. Suppose -5*z + 28 = -q, q = 2*z - 3*z + 8. Give r(z). 4 Let n(a) = a + 4. Let u be n(0). Let j(y) = -y**3 + 10*y**2 + 2*y - 9. Let d be j(10). Let i(x) = 3*x**2 - 27 - d*x + 29 - u*x**2. Calculate i(-10). 12 Suppose -5*w = -2*s + 37, -4*s - s = 5*w + 65. Let t(z) = -z**3 - 10*z**2 - 8*z + 18. Let l be t(w). Let v(p) = -7*p + 12*p - l*p + 5 - 2. Give v(3). -9 Let a(o) = -o**3 - 14*o**2 + 15*o - 7. Let d = 18 - -199. Suppose -5*c + 142 = d. What is a(c)? -7 Let j(v) = -2*v**2 - 37*v - 43. Let y be j(-17). Let x(f) = 5*f - 3 + 24 - y - 6. Determine x(-5). -18 Suppose -2*s - 3*s + 6 = -n, -3*s = 4*n - 22. Suppose 5 = 5*q - h, -2*q + 5*h = n*h + 1. Let i(j) = -2*j + 3*j**2 + q - 4*j**2 - 10 + 9. Calculate i(4). -23 Suppose 2*y = 7*f - 3*f + 34, y - 5*f = 32. Let o(m) = m + y - 4*m + 0*m - 8. Suppose 0 = 2*d - 0*d + 4*z - 14, -2*d - z - 1 = 0. Determine o(d). 8 Suppose v = -3*p + 155, 2*v - 154 = -5*p + 104. Let y(i) = -p + 2*i - 5*i + 46. Give y(-4). 6 Let q(x) be the third derivative of -x**5/60 - 5*x**4/24 + 5*x**3/6 + 9*x**2 - 2. Let g(k) = k**2 + 5*k - 5. Let y(s) = 5*g(s) + 4*q(s). Give y(-5). -5 Let d(a) = 12*a**2 - 22*a - 23. Let h(u) = 11*u**2 - 20*u - 21. Let w(j) = 7*d(j) - 8*h(j). Give w(4). -33 Let q(k) = 3*k - 54. Suppose -170 = 163*h - 173*h. Give q(h). -3 Suppose 0 = -2*z - 118 + 4. Let h = z - -61. Suppose j + 6 = -5*v + 55, -34 = -2*v - h*j. Let p(i) = i**2 - 10*i + 13. Give p(v). 4 Let c(u) = -u + 8. Let y(v) = 2*v**2 + 20*v + 37. Let q(d) = -2*c(d) - y(d). What is q(-9)? -53 Let k = -2 + -7. Let j = k + 4. Let h(u) be the first derivative of u**3/3 + 4*u**2 + 7*u - 10879. What is h(j)? -8 Let s(i) = 169*i. Let g(j) = -299*j + 1. Let o(w) = 4*g(w) + 7*s(w). What is o(-4)? 56 Let u(k) = 18*k**2 - 4*k - 50. Let o(a) = -26*a**2 + 6*a + 80. Let b(w) = 5*o(w) + 8*u(w). What is b(1)? 12 Let a be (-5*18/(-60))/(-4) - (-222)/(-48). Let m(y) = -y**3 - y**2 + 20*y - 1. What is m(a)? -1 Let g be (-2940)/(-18) + 3/(-9) + 6. Let l(x) = g*x**2 + 166*x**2 - 21 - 3*x - 9*x + 175*x**2 - 509*x**2. Calculate l(13). -8 Let a(r) = -39 + 66 + 3*r - 40. Give a(14). 29 Let x(g) = -143*g**3 + g**2 + 4*g + 3. Suppose -4 + 11 = -7*p. Let h be x(p). Let d(t) = -144*t**3 + 7*t**2 + 10 + t**2 - 7*t + h*t**3. Give d(7). 10 Let v(w) be the first derivative of -4*w - 25 + 3/2*w**2 - 1/3*w**3. Suppose -c - 3*h - 5 = 0, -4*c = -0*h + 3*h - 7. Calculate v(c). -8 Let n(a) = -15*a + 184. Let h(p) = 6*p - 91. Let s(c) = 5*h(c) + 3*n(c). Give s(6). 7 Let b(o) = -2*o**2 - 3 + 4*o**2 - o**2 - 4*o. Let y(z) = 156*z - 30111.
{ "pile_set_name": "DM Mathematics" }
ighest common divisor of r and 48. 24 Suppose 91*d - 94*d + 666 = 0. What is the highest common factor of d and 111? 111 Suppose 13*x + 12 = 15*x. Suppose 8*w + 0*w - 56 = 0. Let z(h) = -h + 11. Let p be z(w). What is the highest common factor of p and x? 2 Let c = -322 - -350. What is the greatest common factor of 224 and c? 28 Let m be 8/3 - (-4)/(-6). Let w(p) = 55*p + 4. Let j be w(m). Let r(z) = 2*z**2 + 4*z + 3. Let y be r(-4). Calculate the greatest common factor of j and y. 19 Suppose 0 = -4*u + 4*p + 2740, -3*u + 1259 = -2*p - 791. What is the highest common factor of 40 and u? 40 Suppose 0*l - 36 = 2*l. Let n = l - -39. Let t = -12 + n. Calculate the greatest common factor of 45 and t. 9 Suppose -21*d - 1680 = -24*d. What is the greatest common divisor of 20 and d? 20 Let y(x) be the second derivative of x**4/4 + 4*x**3/3 - 9*x**2/2 + 3*x. Let c be y(7). Let b = c + -104. What is the highest common factor of b and 10? 10 Let b be 12/28 + 2340/28. Suppose 3*k = 18 + 18. What is the greatest common divisor of b and k? 12 Let h(q) = -439*q + 1. Let k be h(-1). Calculate the greatest common factor of k and 40. 40 Let r = 113 + -65. What is the highest common factor of r and 216? 24 Let n = -1200 - -1278. Calculate the highest common factor of n and 390. 78 Let c(k) = k**3 + 11*k**2. Let z be c(-11). Suppose -5*g + 3*s + 366 = z, 0 = 2*g - 3*s - 114 - 36. Calculate the highest common factor of 24 and g. 24 Let z = 380 - 363. What is the highest common factor of 697 and z? 17 Suppose 3*z - 128 = u, 3*u - 5*u - 212 = -5*z. What is the highest common divisor of 176 and z? 44 Let d = 504 - 498. Calculate the highest common factor of 2 and d. 2 Suppose -s = -0*s. Suppose s = -2*z - 4*h + 34, -h + 26 + 20 = 3*z. Suppose 116 = -11*v + z*v. What is the highest common factor of 319 and v? 29 Let k(t) = -t**2 + 6*t - 3. Let v be k(5). Let i = 40 + v. Suppose -2*p = -p - 28. Calculate the highest common factor of p and i. 14 Suppose -30 = -2*m - 4*q, -m - 5*q = 9 - 24. Calculate the greatest common factor of 1110 and m. 15 Let b = -123 + 126. Suppose 0 = -2*v, -w = -b*w - 2*v + 6. What is the highest common divisor of w and 2? 1 Let w(z) = 12*z**2 + 97*z. Let y be w(-10). What is the highest common factor of y and 138? 46 Suppose 3*u + c - 7 = 0, 0*u - 2 = -3*u - 2*c. Suppose -52 = -2*d - u*r, -3*d + 2*r = d - 94. Calculate the greatest common factor of d and 16. 8 Let f = -1 - -3. Let h be (f - 3 - -15)*1. Suppose 168 = 2*p + 2*p. Calculate the highest common factor of h and p. 14 Let k(u) = -u**3 + 17*u**2 - 17*u + 3. Let f be k(16). Let z = 17 + f. Suppose 1 = l - 4*w, z*w = 5*l - w - 35. What is the highest common factor of 81 and l? 9 Suppose -g + 7 = -38. Let y(m) = 4*m. Let p be y(-6). Let c = g + p. What is the greatest common divisor of c and 21? 21 Let u(v) = 2*v - 1. Let x be u(3). Suppose 0 = -x*d - 5*s + 50, -s = 5*d - 3*d - 15. Suppose d*q - 28 = 57. What is the highest common divisor of 119 and q? 17 Suppose 2*x - 6 = 6. Let v = 6 + x. Let q(d) = -38*d - 6. Let t be q(-3). Calculate the greatest common factor of t and v. 12 Let m be (-20350)/(-132) + 1/(-6). Calculate the highest common factor of m and 42. 14 Let q(h) = 6*h + 3. Let g be q(3). Suppose g - 151 = -2*z. Calculate the highest common factor of 26 and z. 13 Let n = -640 - -944. Suppose 416*v - 413*v - 144 = 5*x, -18 = 3*x. Calculate the highest common factor of v and n. 38 Suppose 5*y = 23 + 2. Suppose -y*d - 43 + 213 = 0. Let h be (-8)/(-36) + 914/18. What is the highest common divisor of h and d? 17 Let d = -50 + 67. Let k = 39 - d. Calculate the highest common divisor of k and 198. 22 Let t(v) = 2*v - 2. Let g be t(4). Let u(a) be the first derivative of 3*a**2/2 - 9*a + 2. Let k be u(g). What is the highest common divisor of k and 81? 9 Let l(o) = o**2 - 22*o + 19. Let j(b) = -b**2 + 21*b - 18. Let z(n) = 7*j(n) + 6*l(n). Let f be z(13). What is the greatest common factor of f and 182? 14 Suppose -4*a + 7 = -13. Suppose 0 = y - a*y + 576. What is the highest common factor of 16 and y? 16 Suppose 0*k - 19 = -2*g + 3*k, 2*g - k - 9 = 0. Suppose 5*h - 3*h - 8 = 0. Suppose -65 + 1 = -h*v. What is the highest common factor of v and g? 2 Suppose 0*w - 70 = 5*w. Let h = 17 + w. Suppose -3*b - b + 60 = 0. Calculate the greatest common divisor of h and b. 3 Let d = 827 - 821. Calculate the greatest common divisor of d and 54. 6 Let j(q) = -q**3 + 2*q**2 - 5*q + 2. Let a be j(3). Let c = 33 + a. What is the greatest common factor of c and 121? 11 Suppose -2*r - 1 = 139. Suppose 2*x + h + 67 = -0*h, 0 = h + 5. Let o = x - r. Calculate the highest common factor of 13 and o. 13 Suppose 0 = -61*g + 55*g + 78. Calculate the highest common divisor of 143 and g. 13 Let w be -34*(-1)/(-9) + 4/(-18). Let q be (52/(-16))/(w/32). Calculate the highest common divisor of 208 and q. 26 Let z be 2/5 - 1565/(-25). Let n = 1122 + -1101. Calculate the highest common divisor of z and n. 21 Let p = 9 + 18. Let v = 34 - p. Calculate the greatest common factor of 28 and v. 7 Suppose -4*f + 10*w - 8*w = -4886, -2*f - w = -2445. Calculate the highest common factor of f and 26. 26 Let o(k) = -23*k + 286. Let c be o(8). Calculate the greatest common divisor of 578 and c. 34 Suppose 2*z = -4*z + 48. Let t be z/(-4)*(0 + -2). Suppose -2*y = -5*y + 60. What is the greatest common divisor of y and t? 4 Suppose 2*q = 2*u + 4, -q = -6*q - 4*u + 28. Let f(w) = 4*w - 7. Let n be f(q). Suppose 162 = -3*a + n*a. What is the highest common factor of 9 and a? 9 Suppose 4*g - 20 = -2*q, -4*g + 13 = -4*q - 7. Let r be (44/6)/(g/(-15)). Let x = -6 - r. What is the highest common divisor of x and 8? 8 Suppose -16*q + 256 = 16*q. Let u be (-8)/((-1)/2*2). Calculate the highest common divisor of q and u. 8 Let y(n) = -n**2 - 23*n + 40. Let h(f) = -2*f**2 - 46*f + 80. Let u(d) = 4*h(d) - 7*y(d). Let p be u(-19). What is the greatest common factor of 29 and p? 29 Let v(t) = 9*t - 1. Let h be v(1). Suppose 18 + 0 = 6*c. Let f(q) = 27*q + 7. Let l be f(c). Calculate the highest common divisor of h and l. 8 Suppose -2*i + 39 = 3*g, i - 4*i = 4*g - 53. Suppose 22*n - g*n - 187 = 0. Calculate the greatest common divisor of n and 85. 17 Suppose -149 + 19 = 5*f. Let z = -18 - f. What is the greatest common divisor of z and 32? 8 Let v(i) = 10*i**2 + 7*i - 1. Let s be v(3). Calculate the greatest common divisor of s and 286. 22 Let b be (280/(-25) - 2)/((-3)/15). Suppose -q = -5*y + 28, 2*q = -3*y - 3*q + 28. What is the greatest common factor of b and y? 6 Let h(x) = -5*x - 55. Let n be h(-12). Calculate the highest common divisor of n and 25. 5 Let l(o) = o**3 + 12*o**2 + 4*o. Let k be l(-15). Let s = -306 - k. Calculate the highest common factor of 39 and s. 39 Let p = 147 + -7. Let u(h) = 8*h - 333. Let x be u(46). Calculate the greatest common divisor of p and x. 35 Let c = -42 + 60. Suppose -5*o = f - 415, 5*f + 7 = -c. What is the greatest common divisor of 12 and o? 12 Let o be (2 - -68)/((-1)/(-2)). Let n = 205 - o. What is the greatest common divisor of 26 and n? 13 Let u(z) = 2*z**3 + 17*z**2 + 8*z + 4. Let x be (-13)/5 + 2 + 518/(-70). Let g be u(x). Let i be 30/8 - (-1)/4. Calculate the highest common divisor of i and g. 4 Let t = 1 - -1. Suppose -5*q = 2*p - 44, 3*p = 2*q - 12 + t. Let u = -465 - -473. Calculate the highest common factor of q and u. 8 Let b = 284 + -260. What is the highest common divisor of 12 and b? 12 Suppose -17*v = -13*v - 48. What is the greatest common divisor of 444 and v? 12 Let j(k) = -k**3 + 14*k**2 - 2. Let b be j(14). Let o = 10 + b. Suppose -n = -o - 37. Calculate the greatest common divisor of n and 15. 15 Suppose 52 = 2*i - w, 65 = 3*i + 5*w - 0*w. Let f be (-3 - 12)/((-2)/30). Calculate the highest common divisor of f and i. 25 Suppose 3*b - i - 20 = 0, 2*b + i = -3*b + 20. Suppose 3*f - 34 = -2*k + 6*f, -b*k + 5*f + 75 = 0. What is the greatest common factor of k and 11? 11 Let p(g) = g**2 - 9*g - 26. Let t be p(-8). Let q = -62 + t. What is the highest common factor of q and 12? 12 Let d = 4 - -7. Let q(l) = l**3 + 30*l**2 - 34*l - 82. Let t be q(-31). What is the highest common divisor of d and t? 11 Let u be 1488/36 + (-6)/(-9). Let i(f) = f**2 + 8*f - 6. Let k be i(-10). Calc
{ "pile_set_name": "DM Mathematics" }
qrt(363) + (0 + sqrt(363))**2)*-3 - sqrt(363) - (sqrt(363)*-3 + -3)**2)*6. -78570 - 4356*sqrt(3) Simplify 3*2*sqrt(637) + (sqrt(156)/(sqrt(972)*-2))**2. 13/324 + 42*sqrt(13) Simplify ((5*(sqrt(171) + (2*(sqrt(171) - -1*sqrt(171) - sqrt(171)) - sqrt(171))))/((sqrt(9)*-2 - sqrt(9))*-5 - (sqrt(63)*2)/sqrt(7)))**2. 1900/169 Simplify (sqrt(36) - sqrt(288)/(sqrt(8)*1))/sqrt(12)*-1 + ((-2*sqrt(9)/sqrt(3))**2 - -2*sqrt(108)). 12 + 12*sqrt(3) Simplify (-2*sqrt(1500))/(sqrt(36)/(sqrt(24)/sqrt(2))) + -3. -20*sqrt(5) - 3 Simplify (-5 + sqrt(136)/sqrt(8) - ((sqrt(136)*-1)/sqrt(8) + sqrt(17))) + 4. -1 + sqrt(17) Simplify ((3 + -1 + sqrt(1008))*6)**2 + -5 + 5. 1728*sqrt(7) + 36432 Simplify (2*(sqrt(100)*-4)/(sqrt(5) + 4*sqrt(25)/sqrt(5) - sqrt(5)))**2. 80 Simplify (-6*(-4 + sqrt(52)*-2 + 0 - (-2*sqrt(1872) + 1)))**2. -7200*sqrt(13) + 188100 Simplify -5*(-3 + (sqrt(567) + -1 - sqrt(567))*2). 25 Simplify 4 + ((sqrt(33) - (sqrt(297)*3)/sqrt(9)) + sqrt(33))/sqrt(1100). -sqrt(3)/10 + 4 Simplify 3*(5 + -3 + (sqrt(228) + ((sqrt(228) + sqrt(228)*-1)*-3 - sqrt(228) - sqrt(228)))/(sqrt(96)/(sqrt(8) - -1*sqrt(8)))). -6*sqrt(19) + 6 Simplify (-1 + sqrt(567)*-1*6 + 4 + -4 + sqrt(567)*-1)**2 + 0. 126*sqrt(7) + 27784 Simplify ((sqrt(2688)*2 - sqrt(42))*5)/(sqrt(384) - -3*sqrt(384)*-2). -15*sqrt(7)/8 Simplify -5*sqrt(637) + sqrt(13) + (sqrt(13) + -1)**2*-3 - sqrt(364)/(sqrt(14)/sqrt(2))*-2. -24*sqrt(13) - 42 Simplify ((sqrt(539) + 0)*6 + (sqrt(539) + (sqrt(539) - (sqrt(539)*1 + 1)))**2 + 2 + sqrt(539) + sqrt(539)*-1*-2 + sqrt(539))*1. 56*sqrt(11) + 542 Simplify (sqrt(2057) + 1 + -2 + sqrt(17)*-3 + -5 + 4)**2. -32*sqrt(17) + 1092 Simplify (sqrt(2304) + sqrt(2304) + (sqrt(2304) - (sqrt(2304) + -1*sqrt(2304))) - sqrt(2304))/((sqrt(132) - sqrt(132)*2)/sqrt(11)). -16*sqrt(3) Simplify ((sqrt(209) + (sqrt(209) - -1*sqrt(209)*6))*-5)/((1*sqrt(3300))/sqrt(3)). -4*sqrt(19) Simplify -5 + sqrt(847)*-2 + -5 - ((2*sqrt(847))**2*-6 + 0). -22*sqrt(7) + 20318 Simplify (2*(2*((sqrt(2448) - (sqrt(2448) + 3)) + sqrt(2448)) + -1 + sqrt(2448)*1))**2. -2016*sqrt(17) + 88324 Simplify (sqrt(2695)*1 - 3*sqrt(880))/((sqrt(396)*1 + sqrt(396))*-5 + sqrt(396)). 5*sqrt(5)/54 Simplify (sqrt(125) - -1*(sqrt(125) + sqrt(125)*4))**2*-3 + sqrt(125) + sqrt(125)*-2 + -1 + sqrt(125) + (1*(sqrt(125) + -1*sqrt(125)) + sqrt(125))**2. -13376 Simplify (2*sqrt(70)*-3)/(6*(sqrt(10)*-1 - sqrt(10)))*2. sqrt(7) Simplify sqrt(1700)*1 + (sqrt(153)*1)/sqrt(9) - ((sqrt(612) + sqrt(17))*-4 + -4). 4 + 39*sqrt(17) Simplify (2*sqrt(119)*2 + sqrt(119) + sqrt(119) - sqrt(119) - -1*sqrt(119)*-5)/(1*sqrt(7)*6 - sqrt(7) - 2*sqrt(700)). 0 Simplify sqrt(12)/(sqrt(4) + sqrt(28)/(sqrt(56)/sqrt(8)) + sqrt(4)) + sqrt(21)/(sqrt(1344)/sqrt(3)) + 2. 11*sqrt(3)/24 + 2 Simplify (2 + 3 + -6*(-6*(sqrt(288) + -1) + sqrt(288) + 5))**2. -43920*sqrt(2) + 262921 Simplify (6*(-1 + sqrt(448) + 2 + 1*(sqrt(448) + -1) + sqrt(448) + -1))**2. -1728*sqrt(7) + 145188 Simplify (4*sqrt(81)/sqrt(3) + 5 + -1 + sqrt(27))**2 - (-2*sqrt(2700) + -5). 180*sqrt(3) + 696 Simplify (3*sqrt(152) - (2*sqrt(1368) - sqrt(1368)))/((-1*sqrt(162) - sqrt(2))*-4). 0 Simplify 1*sqrt(5)*5 + ((sqrt(15) - sqrt(30)/sqrt(2))/sqrt(3))**2 + 1*sqrt(5)*-3*5. -10*sqrt(5) Simplify ((-1*(sqrt(1701) + sqrt(1701)*-3))/((sqrt(175) - sqrt(175)*2 - sqrt(175)) + sqrt(84)/sqrt(3)))**2. 243/16 Simplify (sqrt(539) - sqrt(539)*3 - (sqrt(11) + sqrt(11) + sqrt(891) + 2))**2 - (1*(1 + sqrt(1331)) + -4)**2. 166*sqrt(11) + 5539 Simplify ((6*sqrt(66)*2)/((sqrt(486) - (sqrt(486) - -3*sqrt(486))) + sqrt(6)))**2. 396/169 Simplify (2 + 3 + sqrt(242)*2 + 3 + 1)**2. 396*sqrt(2) + 1049 Simplify (-1 + 2 + sqrt(51)/sqrt(3)*-4)**2 - 6*(-3*sqrt(272) + (2*sqrt(612) - sqrt(17))**2). -12069 + 64*sqrt(17) Simplify 5*(5*((sqrt(72) + 0 + sqrt(72))*3 + (sqrt(72) - (sqrt(72) + 1)) + 4 + sqrt(72)))**2. 31500*sqrt(2) + 442125 Simplify 1*((sqrt(162) + 2)**2 + -4 + -1*(sqrt(162) + (sqrt(162) - -2*sqrt(162) - sqrt(162)) + sqrt(162))). 162 Simplify (sqrt(3388)*-2 - sqrt(3388))/(sqrt(4)*1*-3)*3. 33*sqrt(7) Simplify (1 + -2*(-4 + 1*(-4 + sqrt(5))))**2 + 2. -68*sqrt(5) + 311 Simplify (-1 + sqrt(68))*-2 + -2 + (-1*sqrt(68))**2 + (sqrt(85) + -1*((sqrt(85) - sqrt(85)*-2) + sqrt(85)))/(sqrt(720)/sqrt(9)). -19*sqrt(17)/4 + 68 Simplify -5 + (-4 + (-5 + (sqrt(1700) - sqrt(1700)*-1))*2)**2. -1120*sqrt(17) + 27391 Simplify ((-2 + sqrt(76))*-4 + sqrt(76))**2 - (5 + sqrt(76) + -3). -98*sqrt(19) + 746 Simplify (sqrt(48)/sqrt(2)*5 - sqrt(24)*1*-6)/((sqrt(72)/(sqrt(6)*2) - sqrt(12))*-6). 11*sqrt(2)/3 Simplify (-4*(4 + (sqrt(176) - (sqrt(176) + -2 + 5)) + 4 + 2))**2. 784 Simplify 4*(((sqrt(18)/sqrt(3))/sqrt(2) - sqrt(3)*-2*4) + -4)*1. -16 + 36*sqrt(3) Simplify (5*(sqrt(171) + sqrt(171) + (sqrt(171) - (-4*sqrt(171)*1 + sqrt(171))))/sqrt(9)*-1)**2. 17100 Simplify 6*-5*(sqrt(12)/(sqrt(12)/sqrt(2)) - 6*(sqrt(2)*2 - sqrt(2)))**2. -1500 Simplify -3*-5*(sqrt(567) - (0 + sqrt(567) + -2)) + -1 + 3. 32 Simplify (-1 + (sqrt(75) + 0 - sqrt(75)) - (sqrt(75)*2)**2*2)*-2. 1202 Simplify (-3 + 1*sqrt(68)*6 + sqrt(68) + -1 + 1)**2*2. -168*sqrt(17) + 6682 Simplify 1*(5*((sqrt(98) - (sqrt(98) - (1 + sqrt(98)))) + -3)*-6)**2. -25200*sqrt(2) + 91800 Simplify (sqrt(28)/(sqrt(44)/sqrt(11)) + (sqrt(343) + 2 - sqrt(343)) + sqrt(7))**2*-3*6. -576 - 144*sqrt(7) Simplify -3*5*(-4 + (sqrt(65) - (sqrt(65) - (sqrt(65) + (sqrt(65) - (sqrt(65) + (sqrt(65) - sqrt(65)*2)*-1)) - sqrt(65))))/(sqrt(20)/sqrt(4)*5)). 3*sqrt(13) + 60 Simplify (2 + (1*sqrt(80) - sqrt(80))*6 - (0 + 4*(sqrt(5) - -5*sqrt(5)*1)))**2. -96*sqrt(5) + 2884 Simplify (sqrt(168)/sqrt(128))/(sqrt(9)/(sqrt(3) + sqrt(27) - sqrt(3) - sqrt(3))) + 0 + sqrt(84)/sqrt(3)*-4. -15*sqrt(7)/2 Simplify ((3*(1*sqrt(132) + sqrt(132) + sqrt(132)))/sqrt(3))/((sqrt(28)/(sqrt(7) - sqrt(567)) - sqrt(4))*3). -8*sqrt(11)/3 Simplify ((sqrt(1539)*-2)**2 + 1 - (1 + sqrt(1539)*3)) + 2. -27*sqrt(19) + 6158 Simplify (sqrt(209)/(sqrt(704)*-3))**2 + (-3 + sqrt(1900) + -1)**2. -80*sqrt(19) + 1103635/576 Simplify ((5*sqrt(88)*1)/(sqrt(2450)*2))**2. 11/49 Simplify (sqrt(80)*-5*-1 + 0)**2 - ((sqrt(25)*2)/sqrt(5) - ((sqrt(5) - (5 + sqrt(20))**2) + sqrt(5))). -20*sqrt(5) + 1955 Simplify 3*((sqrt(264)*-2)/sqrt(12) + sqrt(22))/(sqrt(22)/(sqrt(11)*-2))*-6. -36*sqrt(11) Simplify (1*sqrt(78)*1 + (-1*sqrt(78) - sqrt(78))*-4)/((-6*(sqrt(60) - (sqrt(60) + sqrt(180)/sqrt(3)) - sqrt(60)))/sqrt(10)). 3*sqrt(13)/4 Simplify (-4 + (1*sqrt(405))**2)*-3 - (-2*(sqrt(405)*3 + 5))**2. -15883 - 1080*sqrt(5) Simplify (4*(-3 + sqrt(35)/(sqrt(360)/sqrt(2)) + 3))**2. 28/9 Simplify (-5 + 4 + 4 + sqrt(6)/(sqrt(6)/sqrt(2)) + 0)**2. 6*sqrt(2) + 11 Simplify (-5 + (sqrt(112)*-2 + sqrt(112) + sqrt(112))*1 + 5*(1 + sqrt(112)) + 0)**2 + 1. 2801 Simplify 4 + 0 + (-2*sqrt(99) - sqrt(99)) + sqrt(44)/(-3*sqrt(4)). -28*sqrt(11)/3 + 4 Simplify (-1*sqrt(1440) + sqrt(1440))/(sqrt(45)/(sqrt(18)/sqrt(2))) + -4. -4 Simplify ((-4 + 2*sqrt(847))**2 - (sqrt(7)*2*2 - (sqrt(63) + 3)))*3. -531*sqrt(7) + 10221 Simplify 5*6*((-5*-1*sqrt(176))**2 + sqrt(176) + sqrt(176)) + -1. 240*sqrt(11) + 131999 Simplify (sqrt(95) - (sqrt(95) + (sqrt(95) + ((sqrt(95) + sqrt(95)*2 - sqrt(95)) + sqrt(95) - sqrt(95)))*1))/((1*sqrt(5) + sqrt(5) + sqrt(5))*-6) + 4. sqrt(19)/6 + 4 Simplify (sqrt(832)*1)**2*4 - (-5 + sqrt(52) + sqrt(13) - (sqrt(13) - (-2*sqrt(104))/sqrt(8))). 3333 Simplify (5*sqrt(189))/(sqrt(175)*3 - sqrt(175)) + -4. -4 + 3*sqrt(3)/2 Simplify (-5 + 2 + sqrt(80) + sqrt(80) + -3)**2 + -1. -96*sqrt(5) + 355 Simplify (3*((sqrt(70) - sqrt(70)*1 - sqrt(70) - sqrt(70)) + sqrt(70))*-3)/(sqrt(360) - ((sqrt(360) + sqrt(360) + (2*sqrt(360) - sqrt(360)))*-3 - sqrt(360))). 3*sqrt(7)/22 Simplify ((sqrt(1053) - (-1 + sqrt(1053)*-1))**2 - 4*-2*sqrt(1053))*-1. -4213 - 108*sqrt(13) Simplify ((sqrt(672) + sqrt(42) + sqrt(42))*6*4)/((sqrt(450)*-1)/sqrt(3)). -144*sqrt(7)/5 Simplify (2*sqrt(51)*-4)/(sqrt(135)/sqrt(5)). -8*sqrt(17)/3 Simplify 1 + (sqrt(275) - (5*sqrt(275) - sqrt(275))**2) + sqrt(1331) + -5 + -1. -4405 + 16*sqrt(11) Simplify (((3*sqrt(30))/sqrt(3))/((sqrt(60)*4)/sqrt(12)))**2. 9/8 Simplify -1 + (sqrt(30)/(sqrt(110)/sqrt(99)))**2 + 0. 26 Simplify (sqrt(136) - sqrt(136)*4*-2)/(sqrt(8) - (sqrt(96)*3)/sqrt(12))*2. -9*sqrt(17) Simplify 3*(sqrt(192) + -3) - (-1*sqrt(3) + 0 - sqrt(21)/sqrt(175)). -9 + 126*sqrt(3)/5 Simpli
{ "pile_set_name": "DM Mathematics" }
v - 4*g - 4 = 0. Give t(v). 1 Let j be 30/40 + (-10)/(-8). Let u(c) = 1 + j*c**2 - 3 - c**3 - c**2 - 3. Suppose -2*m = -m. What is u(m)? -5 Let k(h) = h**2 - 6*h - 3. Let l(d) = -d**2 - 16*d + 6. Let m = -551 - -535. Let r be l(m). Determine k(r). -3 Let i(z) = -1 + 2 - 5*z**2 + 2*z + 1. Let v be 30/(-45)*(-5 + 2). Calculate i(v). -14 Suppose 5*j + 64 = 14, 5*x + 20 = -3*j. Suppose -3*u = -8*u + 15, 0 = -3*r - 5*u + 24. Let y(v) = 0 - 6 - v**2 + 2*v + r. Determine y(x). -3 Let s(u) = -3*u**2 - 13*u - 33. Let f be (-7018)/(-986) + 4/(-34) - (-30)/(-2). Give s(f). -121 Let j(w) = 3*w - 51 + 17 + 16 + 18. Give j(-8). -24 Let h(y) = -y + 14. Suppose 0 = -0*c - 2*c + 24. Suppose o = -49 - c. Let j = 61 + o. Give h(j). 14 Let k(m) = -3*m**2 - 15*m + 44*m**3 - 78*m**3 + 4 + 35*m**3. Let l be k(-3). Let r(v) = -v - 2. Determine r(l). 3 Let h(s) = 2*s - 3. Let c(l) = 21*l + 591. Let p(d) = 7*d + 197. Let z(k) = 6*c(k) - 17*p(k). Let f be z(-28). Determine h(f). -1 Let j(r) = r**2 + 7*r + 7. Suppose -4*o + 8 = 3*q, 2*q = 3*o - 3*q + 23. Let u be 806/18 - (-30)/135. Let y be (0 + o)/(9/u). Give j(y). -3 Let w(r) = 14*r**2 - 4*r + 12. Let g(q) = 40*q**2 - 11*q + 34. Let c(t) = 6*g(t) - 17*w(t). Let z be (-14)/4 + 9/6. Calculate c(z). 4 Suppose 6 = 5*i - 4. Let v(x) = x - 2 + 0*x + 3*x**3 + 3*x**i + x**2. Let m be (3264/1768 - (-2)/13)*-1. Calculate v(m). -12 Let q(l) be the second derivative of -l**6/720 + 11*l**5/120 - 7*l**4/12 + l**3/6 + 78*l. Let j(u) be the third derivative of q(u). What is j(8)? 3 Let w(s) = s**2 + s - 4. Suppose -9*d = 5*k - 7*d - 98, 3*d - 12 = 0. Suppose 9*q - 6*q - 3*z = -18, -5*q = -z + k. Determine w(q). 2 Let h be -2*(-6)/24*4. Suppose 6 = 2*d + 3*u - 3, -3*u + 21 = -h*d. Let w(x) be the second derivative of x**4/12 + x**3/6 + x**2/2 + 2*x. What is w(d)? 7 Suppose 5*j + 1 = 31. Suppose 5*v = y - 0*y + j, 4*y - 5*v - 6 = 0. Suppose y*o = p + 16, 4*o = -p + 11 + 5. Let u(w) = w**2 - 2*w - 5. Determine u(o). 3 Let i(c) be the third derivative of 1/6*c**3 + 0*c - 44*c**2 + 13/24*c**4 + 0. Calculate i(-2). -25 Suppose 5*c + 3*o + 26 = 0, 5*o + 100 = -5*c + 80. Let k(d) = -3 + 17 - 2*d + 4*d. Calculate k(c). 0 Let v(i) = -13838*i + 0 - 14 + 13841*i. What is v(2)? -8 Let f(h) = 4*h**2 + 2*h - 3. Suppose -308*c + 314*c + 114 = 0. Let u = c + 21. What is f(u)? 17 Let q(g) = 30 + 36 + 55 + 6*g - 161 + 38. Calculate q(-6). -38 Let b(i) be the second derivative of -1/12*i**4 + 82*i - 2*i**2 + 0 + 3/2*i**3. Give b(8). 4 Let s(h) = 3*h - 15. Suppose 16*p + 5*k - 13 = 18*p, p - 4*k = -8. What is s(p)? -27 Suppose -22*s = -20*s + 444. Let o = 225 + s. Let j(b) = 0 + b - 2 + 1. Calculate j(o). 2 Suppose -2*n + 5*f - 16 = 0, -31*n + 30 = -f - 28. Let p(j) = j**3 - 1. Let u(l) = 6*l**3 - 3*l**2 + 5*l - 10. Let x(o) = 5*p(o) - u(o). Calculate x(n). -1 Let t(s) be the first derivative of 2*s**3/3 + 4*s**2 + 9*s - 40. Let c be t(-4). Suppose c*d - 21*d = 24. Let b(a) = a**3 + a**2 - 3*a - 2. What is b(d)? 0 Let a(i) = i**3 - i**2 + i - 11. Let m = -5495 + 5495. What is a(m)? -11 Let l be 12/(-21)*(0 - (-7)/(-1)). Let d(n) = n**3 - 3*n**2 + 5*n - 4. Calculate d(l). 32 Let a(q) = -3 + 0*q + 4*q - q**2 + 5 - 1. Let c be (-3)/(-8) + 15/((-240)/(-74)). Give a(c). -4 Let o(q) = -3*q**2 + 128*q - 430. Let d be o(39). Let a(b) = b**2 - b + 1. Let r(w) = -25*w**2 + 3*w - 6. Let h(s) = 5*a(s) + r(s). What is h(d)? -19 Let t be (-19)/2 + (-1)/2. Let g = -854 - -887. Let y(f) = 147*f - 34*f**2 + g*f**2 - 157*f - 1. Calculate y(t). -1 Let u(i) be the second derivative of -i**5/20 + i**4/6 + 32*i**3/3 - 7*i**2/2 + 333*i + 1. Determine u(9). 2 Let d be 6 - (4/1 + (-238)/34). Let r(t) = -t**3 + 10*t**2 - 11*t + 23. Calculate r(d). 5 Suppose -4*f + 41 = h, 3*h - 21 - 2 = -2*f. Let i(k) = 5*k**2 + 8*k + 18. Let o(g) = -11*g**2 - 16*g - 37. Let s(b) = -13*i(b) - 6*o(b). Give s(f). 8 Let i(f) be the third derivative of -f**6/120 + f**5/20 - 7*f**4/24 - f**3/2 - 2203*f**2 + f. Give i(3). -24 Let s(l) = l**2 - 3*l - 1. Let h = 691 + -650. Suppose 165 = -8*y + h*y. What is s(y)? 9 Suppose -235 = -5*s + 4*d - 5*d, -4*s - 4*d + 204 = 0. Suppose -s*p - 40 = -41*p. Let o(u) = u + 9. Determine o(p). 1 Let m(d) = -d**3 - 11*d**2 - 9*d - 30. Let n be m(-14). Let y = n + -681. Let b(z) = z**3 - z**2 - 3*z - 2. Determine b(y). 7 Let b = 390 - 384. Let o be (-10)/((-10)/3) - b. Let p(a) = -a**3 - 2*a**2 + a - 5. Give p(o). 1 Let c(k) = 2*k**3 - 12*k**2 + 21*k. Let g(x) = 11*x + 6*x**3 - 5*x**3 + 9*x**2 - 15*x**2. Let n(y) = -4*c(y) + 7*g(y). Calculate n(5). -10 Let y(v) be the second derivative of 11*v**3/3 + 5*v**2/2 + 403*v. Determine y(-2). -39 Let z(m) = -7*m**2 + 15*m - 9. Let f(t) = -15*t**2 + 31*t - 19. Suppose w + 12 = -2*g, -5*w - g = -0*g + 33. Let o(u) = w*f(u) + 13*z(u). What is o(6)? 15 Suppose 44*p = 19*p. Let w(x) = -x**2 + 5*x + 13. Calculate w(p). 13 Let z = 502/843 - -20/281. Let j(c) be the second derivative of 5*c - 7/2*c**2 + z*c**3 + 0. Determine j(5). 13 Suppose -n - 9 = -13. Suppose -v - v - n = 0. Let s(a) = -5*a**2 - 4*a + 1 + 2*a + 2*a**2 - 2*a**3 + 3*a**3. Determine s(v). -15 Suppose 52*k - 55*k + 53 = 4*b, k = 4*b + 23. Suppose k = -4*z - 17. Let u(m) = 2*m + 11. Determine u(z). -7 Let g be 57/(-12)*(-9 + (-117)/(-9)). Let n(w) = -w**2 - 16*w + 51. Determine n(g). -6 Let o(g) be the third derivative of 7*g**6/24 - g**4/12 - g**3/3 + g**2 + 502. Give o(-1). -35 Let v(t) = 159 + 45*t + 48*t - 190*t + 67*t - t**3 - 131 - 18*t**2. Give v(-16). -4 Suppose 0 = -3*h + 5*g + 23, -h + 2*g - 4 = -2*h. Let m(f) = 15 - f**2 + 5*f + f - h. Let c = -1234 - -1241. Give m(c). 2 Let v(o) = -55*o**3 - 23*o**2 - 135*o - 434. Let q(r) = 13*r**3 + 6*r**2 + 33*r + 108. Let f(l) = 17*q(l) + 4*v(l). What is f(-9)? -8 Let d = -395 + 399. Let p(r) = -4 - d*r - 14 + 1. Calculate p(-8). 15 Let s(t) = t**3 + 11*t**2 + 21*t + 14. Suppose 0 = -124*f + 274 - 1390. Give s(f). -13 Let h(f) = -88*f - 274. Suppose 155*z + v - 3 = 157*z, 9 = -2*z - v. What is h(z)? -10 Let p(d) = -d**2 - 4*d - 4. Let z be 6 - (0/2 + 3/3). Suppose -i = 3*a, 3 = z*i + 4*a - 8. Suppose t + 12 = 5*t, i*y = -t - 12. Give p(y). -9 Let r(s) = s**2. Let i be r(0). Suppose i = 2*q + q + 15. Let w(f) = 2412*f - 4 + 2790*f - 5203*f. Calculate w(q). 1 Suppose 2*p + 8 = -0*p, -3*i + 5*p = -38. Let k(l) = -7*l + 5 - 19 + 2*l + 32 + i. Calculate k(7). -11 Let u(c) = -c - 37. Let t(y) = -y - 8. Let r(d) = -5*t(d) - u(d). What is r(-18)? -31 Let l(o) be the second derivative of -o**5/24 - o**4/4 - 9*o**3 + 161*o. Let w(i) be the second derivative of l(i). Give w(6). -36 Let s(y) be the first derivative of y**3/3 - 29*y**2/2 + 190*y + 1948. Calculate s(21). 22 Let z(g) = g**3 - 9*g**2 - 8*g - 7. Suppose 2*s - 5*h = 221, 4*s + 25*h - 454 = 23*h. Suppose s*q = 109*q + 40. Give z(q). 13 Let s(n) = -5*n**2 + n - 1. Let x(t) = -t**2 - t + 1. Let q(d) = -s(d) + 6*x(d). Suppose -4 = 4*l, -4*m - 389 = 4*l - 7*l. Let y = -105 - m. Give q(y). 7 Let j(u) = -4*u**3 + 3*u**2 - 2. Let n(x) = 23*x**2 + 93*x + 3. Let w be n(-4). What is j(w)? 5 Let l(c) be the second derivative of c**4/12 - c**3/3 - 3*c**2 + 7*c. Let h be l(4). Let y(x) = 19*x - 5 - 20*x - h + x**2. What is y(5)? 13 Let l(y) = -y**3 - 2*y**2 - 16*y + 19. Let s be l(1). Let r(c) be the third derivative of s*c - 3/8*c**4 - 4*c**2 + 1/3*c**3 + 0 + 1/60*c**5. What is r(4)? -18 Let t(a) = a**3 + 7*a**2 + 3*a + 1. Let k be t(-5). Suppose -26*s + k*s = 0. Let y(g) = 0*g + s*g + g - 4. What is y(4)? 0 Let j(m) = -4*m**2 - 27*m + 27089*m**3 - 27088*m**3 - 7*m**2 - 5. Calculate j(13). -18 Let v(t) = 6 + t**3 - 2*t**2 + 8*t**2 + 6*t + 0*t**3. Let g(u) = 41*u**3 - 1. Let i be g(1). Suppose 13*h + i = -25. Determine v(h). 1 Let n(p) = p**2 - 14*p - 11. Suppose 0 = x - 21*r + 19*r - 23, 2*r + 53 = 3*x. Let c be n(x). Let w(m) = -m**3 + 3*m**2 + 5*m - 3. Give w(c). 1 Let r(p) = 4255*p**2 + 4141*p**2 + p**3 - 2*p + 68 - 8437*p**2. Determine r(41). -14 Let n(i) be the first derivative of 7*i**2/2 - 146*i + 3144. Determine n(20). -6 Let p(z) be the third derivative of z**5/30 - z**4/12 - 11*z**3/6 - 1167*z**2. Give p(6). 49 Let w(x) = -22*x - 1. Let f(n) = -89*n + 22. Let l(t) = -f(t) + 4*w(t). Calculate l(29). 3 Let q be (20/(0 - -2))/((-2)/(-3)). Let p(l) = -28*l + 11*l + 4*l - q*l
{ "pile_set_name": "DM Mathematics" }
-2*y - 3*n = 1 - 2. Solve -4*v = -d + y, -6*v = -2*v - f*d + 10 for v. 0 Let b be 2*(1*-3)/(-6). Let k be 9/(-1 + (b - -1)). Suppose -5*j = -2*g - 17, 0*g + 13 = 5*j - 3*g. Solve 2*u + j = -f + u, -3*f = u + k for f. -2 Suppose -2*f - 3 + 111 = 0. Suppose 0*n + 3*n = f. Solve 8*i - 4*i - 3*t = -10, 5*i - t = -n for i. -4 Let h be 16/2 - (-4)/(-1). Suppose w - 5*w + 8 = -2*z, -2*z + 19 = 5*w. Solve 0 = 3*v + 12, -z*v = -h*y + 3*v + 12 for y. -2 Suppose 0 = 2*a + 3*a + 15. Let x be 4 + (-3)/9*a. Suppose -2*i = 5*u - 51, 3*i - 2*i = x*u - 57. Solve -u = 2*q + 5*l + 8, 5*q = -3*l for q. 3 Let q = 1 - 1. Let n = 7 + -4. Let z = n + q. Solve -4*g = b + 1 - 0, 18 = z*g - 3*b for g. 1 Let i = 4 + 1. Solve -m - m = 10, m = -i*k - 10 for k. -1 Let q(r) = 2 - r**3 + 5*r**2 + 2 + 4*r - 8*r**2. Let s be q(-4). Let k be (5/(-2))/(s/(-16)). Solve -2*i + i - k = -2*g, -10 = -2*g - 4*i for g. 5 Let p(u) = -u**3 - 11*u**2 + u + 13. Let t be p(-11). Solve 0 = 3*q + 3*k - 4 - t, k - 2 = 2*q for q. 0 Suppose i + 15 = 6*i. Solve i*j + 4 + 2 = 4*w, -5*j = 2*w - 16 for w. 3 Let f = 46 - 76. Let j be f/(-2) + 6 + -4. Solve 2*i + 2*i + j = -3*d, 3*i - 2*d = -17 for i. -5 Let x(z) = -z**3 + 6*z**2 + 3. Let i be x(6). Suppose i*y - y = 30. Solve 2*k = 3*c - 0*c - 12, -3*c = -3*k - y for k. -3 Suppose d + 4*x - 23 = 0, -d + 4*x = 3 - 2. Suppose -8 = -2*o + 2*f, -2*f = o - d + 1. Solve 3*u + g = -0*g - 2, 0 = -3*u + 3*g - o for u. -1 Let f = 14 + -14. Let z be 3 - (-1)/(-1 - f). Solve 4*i - 5*p = -20, i - 2*i - z*p + 8 = 0 for i. 0 Suppose 3*w = 8*q - 10*q + 11, 5 = -4*q + 3*w. Solve -s + q = -2*g, -4*s + 6*g - 6 = 3*g for s. -3 Let y(s) be the first derivative of -s**4/4 + 5*s**3/3 + 4*s**2 - 7*s + 5. Let m be y(6). Solve 2*v + 2 = -m*t + 6, -4*v + 8 = -2*t for t. 0 Let d(v) = v**2 + 3*v - 3. Let s be d(2). Suppose 4*r - s = 5. Solve -r*o + 4 = -2*a - 9, a + 6 = o for a. -5 Suppose 0 = 3*w + 2*w - 85. Suppose -h = -4*h + 15. Solve -4*z = 3*j - 9, 2*j - h*z + w = -0*j for j. -1 Suppose -76 = -3*q - 5*v - 26, -16 = -q - 2*v. Solve -3*j + 20 = -4*g, 4*g + q = 7*j - 2*j for g. -5 Let y(q) = q + 11. Let d be y(-8). Suppose -w = -4*w - k + 14, 0 = 2*w - 4*k - 28. Solve -d*j - w*x = -2*x + 1, -25 = -j + 5*x for j. 5 Let i = 3 - -2. Solve -5*g + 3*r = -22, -i*r = 4*g - 26 + 1 for g. 5 Let v be (-7)/(-28) - 2/8. Suppose 2*l - 4*l + 22 = v. Let z = l - -1. Solve -3*s + z = 0, 2*s - 28 = -5*p - 0 for p. 4 Let l(r) = 5*r + 2. Let w be l(2). Solve -n - 5*y - 16 = -2*n, -3*n = 5*y + w for n. 1 Suppose -25 = -2*v - 249. Let f be (-2)/6 - v/3. Let n = -26 + f. Solve 3*i + i - 3*h = n, 5*i + 5*h + 30 = 0 for i. -1 Let t = -48 + 48. Solve 5*d + 5*m - 5 = -t*d, 5*d + 4*m = 3 for d. -1 Suppose -8*m = -5*m. Solve -q - 27 = -5*c, m*q = -3*q - c - 1 for q. -2 Let c = 62 - 30. Solve -3*r + 32 = 2*s + 3*s, c = 4*r + 4*s for r. 4 Let y(c) = 4*c**2 - c - 2. Suppose 4*j = -j + 10. Let x be y(j). Solve -o = 3*r + 11, -x = 3*r - 4*o + 4 for r. -4 Suppose 0*k - 5*k = 0. Let l be ((-2)/(-2))/(-1) - -2. Suppose l + k = c. Solve -3*z + 2*s - 28 = z, -4*s + c = 3*z for z. -5 Let o(i) = -i**3 + 10*i**2 - i + 12. Let h be o(10). Suppose h*s = -3*s. Solve 18 = -3*w + 5*m, 0 = -s*w - 5*w + 2*m - 11 for w. -1 Let n be ((-117)/13 - (0 + -1))/(-2). Solve 2*i = v - 5, 0 = -i + n*v - 5 - 1 for i. -2 Suppose 2*r - 1 = 3*r. Let w be (r + 2)/(4/32). Solve -s = 2, -4*s = -x + w + 5 for x. 5 Let h be 2/((-6)/(-33)*1). Let t = h + -8. Suppose -q = -3*i + 13 - t, -2*i - 3*q = -25. Solve i*l + 5*m = -20, 5*l - 4*m = -0*m - 2 for l. -2 Suppose 19*h - 881 = -311. Solve 5*f - 1 - h = -2*q, -q + 13 = 2*f for f. 5 Let g be (-206)/(-30) - (-2)/15. Suppose 0 = -g*l + 2*l + 2*w + 26, 4*l - 22 = 2*w. Solve -4*h + 5*t + 6 = -0*h, 4*h - 4*t = l for h. -1 Let p be (0 - 2)/((-2)/(-5)). Let y be (-2 + -1)*p/3. Solve y*h - 5 = -2*g, -g + 3*g = -3*h - 1 for g. -5 Let r(j) = -4*j - 16. Let p be r(-7). Let k(w) = w - 5. Let q be k(p). Solve -2*l + q*l + 10 = -4*i, 5*l = -2*i for l. 2 Suppose -s = 3*s + 8. Let f = 2 + s. Suppose -j = -0*a - 2*a + 13, -5*j - 25 = f. Solve l = -4*u - 11, a*u + 2*l - 1 = -7 for u. -4 Suppose 0 = -s - 1. Let g(l) = -l**3 - 2*l**2 - 2*l - 1. Let b be g(s). Suppose b = 4*v - 0*v - 20. Solve v = 2*t + c, 4*c - 25 = 4*t - 65 for t. 5 Suppose -4*t + 5*p + 185 = 0, 4*p = -4*t + p + 177. Suppose 2*b - 5*j - 50 = 0, -3*b + 2*j + 30 = -t. Solve -1 = x + 3*d, -3 = -5*x + 2*d - b for x. -4 Let s be (3/(-9))/(2/(-6)). Let w be 9 + (s - 4)/3. Suppose -5*c = w - 33. Solve 3*u + g - 7 = 3*g, -12 = -2*u + c*g for u. 1 Let u = -6 + 4. Let g = 2 - u. Solve -2*n - 2 = -v - 7*n, 1 = v + g*n for v. -3 Let f = 62 - 60. Solve 0 = 4*i + 3*l - 8, -5 = -f*i + 4*l + 21 for i. 5 Let a be 5*2*2/4. Suppose 62 = a*l + 3*k + k, 0 = 4*l + 2*k - 46. Let d be (8/2 - (-95)/(-20))*-4. Solve l = 2*r - 2*u, u + 3 = d*r - 10 for r. 4 Suppose 0 = -3*n + 2*z - 24, z = 3*n - 3*z + 24. Let t = n - -8. Solve 3*l - 2*s - 6 = 1, -3*s - 15 = t for l. -1 Let k = 0 + 2. Suppose 3*w - 57 = -5*m, 23 + 27 = 4*m - k*w. Solve -4*c - 4*u + m = 0, -5*c + 0*u - u = 1 for c. -1 Let h(i) = i - 1. Let d be h(3). Suppose 5*t - d*l = 32, -3*t - 5*l + 3*l = -32. Solve 8*o - 4*o - t = 2*j, -3*j + 2 = o for o. 2 Let u = 29 - 4. Let w = 35 - u. Solve 2*i = -3*b - w - 1, 5*i - b + 19 = 0 for i. -4 Let r(q) = -4*q. Let y be r(2). Suppose -2*j + 29 = w, -j = -6*j + 3*w + 56. Let p = y + j. Solve -4*d = -k + p, 4*d = 2*k + 2 - 4 for k. -3 Let w = 21 - 21. Suppose -g + 3*q = 13, w = 3*q - 6*q + 15. Solve 14 = 5*z + g*t, 0*t - t = -2*z + 2 for z. 2 Suppose -2*w + 3*f + 0 = -4, -4*w + 12 = -5*f. Let l = -3 + w. Let t be 6/(-12)*(-5 + 5). Solve -5*a = -m + 8, -a + t - 12 = l*m for m. -2 Suppose 2*q = 5 - 1, 8 = 3*g + q. Let d = 12 + -6. Suppose -5*r + 2*r + d = -4*k, -2*r + 4 = -g*k. Solve -i = 4*u + 11, -3*u = u + r*i + 6 for u. -4 Let r(u) = 1 + 8*u + 3 - 3*u. Let l(h) = h + 1. Let y(b) = 9*l(b) - 2*r(b). Let v be y(1). Solve 4*k + w = 4, v = -5*k - 2*w + 6 + 2 for k. 0 Let f = 282 + -278. Let g = 13 + -9. Solve 2*o - f*o = 3*r - 2, -5*r = g*o - 2 for o. -2 Suppose 3*n + 20 = 8*n. Suppose 2*i + 4 = -4*m, 6 = -5*m + n*i - 7*i. Solve 0 = 4*l - 2*q - 10, m*l + l = 5*q + 25 for l. 0 Suppose -r - 3 = 0, -3 + 2 = 4*o + 3*r. Suppose -24 = -5*k + k. Solve -4*y = -o*z + k, -4*z + 6*z + 30 = -5*y for z. -5 Let z(r) = -r**3 - 6*r**2 - 7*r - 6. Let h be z(-5). Let s be h*-1*(2 + -3). Solve 2*y + x + s = 0, -3*y + 2 - 1 = 5*x for y. -3 Let w = -21 - -14. Let b = -4 - w. Solve -b*g + t = 7, t - 12 = 4*g - 2 for g. -3 Let n(k) = -1 - 1 + 4 + 4*k - k**2. Let v be n(4). Let c = 1 + 3. Solve 6 = c*o + 3*b, -4*o = 3*b + v*b - 10 for o. 0 Let d(i) = -i + 6. Let n be d(3). Let f(g) = -2*g - 4. Let a be f(-4). Solve n*p - 3*s - s = 21, -5*p + 27 = -a*s for p. 3 Suppose 38 = j + 5. Let c = j + 2. Solve -2*l = 5*t - t - 30, -c = -4*l - 3*t for l. 5 Let u = -4 - -3. Let m = -1 - u. Suppose -8 = -4*y + 2*j - 2, m = -5*y + j + 9. Solve y*h = -0*h + 5*i - 2, 0 = 2*i - 4 for h. 4 Suppose -2*d - 12 = -5*f, 3 + 1 = f. Let x(o) = 2*o**3 - 4*o**2 + 5*o - 7. Let z be x(3). Solve 3*t + 5*b + z = 0, 3*b - b = d*t for t. -2 Let r = 1 + 4. Solve -40 = -r*g + 3*c, 5*g - c - 4*c - 50 = 0 for g. 5 Let t(j) = 0*j**3 - 1 - 8*j**2 - j**3 + 1 + 9*j. Let w be t(-9). Solve 5*c = 5*z + 5, -z + 6*z - 3*c + 1 = w for z. 1 Suppose -5*g = -24 - 6. Let k = g + -2. Suppose k*i + 8 = 20. Solve -4*u = -x - 7, -x - i = -3*u + 1 for u. 3 Let g(h) = 6*h - 1. Let s(y) = -y. Let l be s(-1). Let r be g(l). Solve d + 3*u = 1, -4*d - 7 = 4*u + r for d. -5 Let l(x) = -x + 11. Let j be l(-10). Let h = j + -17. Solve 5*f - 3*f = 5*r + 18, h*f = 2*r + 4 for r. -4 Let b = 6 - 3. Suppose x - 8 = -b*x. Suppose 0 = -0*z + x*z. Solve -3*q + 21 = -4*q - 5*u, z = 4*q - u - 21 for q. 4 Suppose 4*n - 5*y + 3*y = 4, n - 5*y + 8 = 0. Suppose 0*d = -2*d. Solve -x + 2*x - 5 = n*l, -5*l - 20 = d for x. -3 Let j(h) = -h**2 - 1 - h**3 + 3*h - 5 + 3. Let n be j(-3). Let b = n + -2. Solve 0 = -y - 4*l + 8, -b*l = y + 3*y - 20 for y. 4 Let y be 4/((-216)/(-174)) - 2/9. Let b(w) = -w**2 - 4*w. Let m be b(-2). Solve -t + g = m*t + 19, y*t + 3*g + 15 = 0 for t. -4 Let n = -27 + 27. Suppose -2*b = h + 4, 4*h - 6*b + b = -16. Let r(f) = -f**3 - 2*f**2 + 3*f. Let k be
{ "pile_set_name": "DM Mathematics" }
Suppose 194*j = 191*j + 30. Which is the nearest to -2/9? (a) 0 (b) j (c) 1/7 (d) 1/8 a Let q = -6317 + 6306.036. Let h = 11 + q. Let d = h + -4.036. What is the closest to 2 in -3, 1, d? 1 Let a = -11/3385 - -3429/13540. What is the nearest to a in 4, -17, 5, -78? 4 Let d = -0.24 - -0.04. Suppose 5*m + 3*h - 899 = -1008, -2*h = -m - 14. Which is the nearest to d? (a) 1 (b) 3 (c) m a Let k be (-5502)/168 - (-7 + 2). Let j = -547/20 - k. Which is the nearest to 0.6? (a) 0.05 (b) j (c) 3 (d) 2 b Let u = -121.1 + -1.9. Let s = u + 124. Let x = 24 + -24.05. What is the nearest to 2/5 in s, x, -4? x Let q = -0.08504 - 0.00496. Which is the nearest to -7/2? (a) -0.5 (b) q (c) 1/3 a Let c(x) = -x**2 + 11*x - 5. Let q be (28/4 - 4)/((-1)/(-3)). Let n be c(q). Suppose 14*p + 3 = n*p. What is the nearest to 0.2 in p, -0.1, 4? -0.1 Let q be (-15)/10*8/(-6). Let h = -1704 + 1704.2. Which is the closest to 2? (a) h (b) -5 (c) q c Let p = 464 - 468. What is the nearest to 0.11 in p, -1, 4, -2? -1 Let g = -1124 - -1123.6. Which is the nearest to -1/2? (a) g (b) 7 (c) -0.03 a Let u = 1 + -1.1. Suppose 0 = -3*w - 3, -3 = 2*i - 2*w + 23. Let h be (10/(-12))/(11 - (-147)/i). What is the closest to 0.3 in h, u, 2/11? 2/11 Let z = -9440 - -9423. What is the nearest to z in -3, -1.2, -2/15? -3 Let i = -2.3274 + 7.3274. What is the closest to 0 in -3, i, -45, 0.2? 0.2 Let f = 4.584 - 1.584. Let z = 0.43 + -0.03. Which is the closest to 3/7? (a) f (b) 1/6 (c) z c Suppose 3*d - 3*y - 3252 = 0, -5*d = -7*y + 5*y - 5432. Let r be (-18)/3 + d/187. What is the closest to 0 in 1/8, r, 2/135? 2/135 Let q = -263.481 + -0.519. Let p = -263.9 - q. Which is the closest to p? (a) 0.1 (b) 3 (c) -0.6 a Let j = -2567/8 - -321. Which is the nearest to -0.2? (a) j (b) 2/3 (c) -0.73 a Let p = 16424 - 16423. Suppose 3 = z + 1. Let h be 2 - (z + 0 - -3). Which is the closest to -0.2? (a) p (b) h (c) 4 a Let q be 1 - (-5)/(10/(-326)). Let o = 165 + q. Which is the closest to -1? (a) -4 (b) o (c) 1/11 c Let o = 177 - 57. Let z = o - 120. Suppose -2*h = -3*l + 8, 5*h - 6 = -l + 8. What is the closest to -2/7 in -2, h, z? z Let n = 185.9031 - 186. Let d = n - -0.0869. What is the closest to -4 in -1, d, 5, -1/6? -1 Let c = 6902 - 6907. What is the nearest to 2.9 in -1.7, c, 2/9? 2/9 Let l = -0.383 + -0.287. Let d = 0.47 + l. Suppose 3*n = 12 - 0. Which is the closest to d? (a) 2/3 (b) 2 (c) n a Let r = -2.63 - -2.63. Let m = -22 - -17. Let j be (-2)/5*3/(-6). What is the nearest to 0 in j, m, r? r Let j(i) = 3*i**2 + 23*i + 12. Let m be j(-7). Let v be (-8)/60 + (1045/(-600) - m). Which is the nearest to -0.3? (a) v (b) -1/7 (c) 2 b Let j = 0.37 + -22.37. Let f = 594.79 + -589. Let s = 4.79 - f. What is the nearest to -0.1 in j, s, 0? 0 Let x = -825 - -1571/2. Let g = x + 39. Let l = -0.31 + 0.01. Which is the closest to g? (a) -1/3 (b) -3 (c) l a Let z = 0.074 + -0.174. Let t = -1047 + 15703/15. Let u be (-6)/(0 - 45/(-6)). What is the closest to z in 4, u, t? t Let o be (309/412)/(21/8). What is the nearest to -95 in 1, o, 2? o Let o = -6.7 + -0.2. Let m = 53.9 + o. Let a = m + -46. What is the nearest to a in 0.4, -5, -2? 0.4 Let p = -311/35 - -58/7. Suppose 5*i + 186 = -3*r + 1428, -258 = -i - 3*r. Let f = i - 243. What is the nearest to 2 in f, p, -3/4? f Suppose -4*s - 447 = 5*f, 3*f - 5*s = -319 + 36. What is the nearest to f in -2/13, -2, 0.3, 0.1? -2 Let u = 34594 - 172972/5. Let z = -2 + 3. What is the nearest to z in u, 3, 14/3? u Let q = 188.605 - 189. Let i = -28.705 + q. Let g = 29 + i. Which is the closest to -0.01? (a) -1 (b) g (c) 3 b Let j be 0 - -5 - (-12 + 3335/203). Which is the closest to 0.3? (a) 0 (b) 0.041 (c) -2/15 (d) j b Let d = 262 + -243. Let k = d + -18. Let f = -0.44 + 0.04. What is the nearest to -2/5 in f, k, 10? f Let u = 803/30 - 271/10. Which is the nearest to u? (a) 4 (b) -2/289 (c) -0.2 c Let u = -36485.2 + 36485. What is the nearest to 2 in u, -5, 60/17? 60/17 Let z(o) = -2*o + 10. Let f be z(7). Let i = -11.6 - -11.3. Let n = -5.3 - i. Which is the nearest to f? (a) n (b) 4 (c) -4 c Let h = -9183 + 9179. Let r = 2/39 + -88/195. Which is the closest to 1/2? (a) h (b) 4 (c) r (d) -0.07 d Let u = 2.4979 - 0.2979. Let l = -1.7 + -0.3. Let z = u + l. Which is the nearest to 0.06? (a) -1/7 (b) 4 (c) z c Let a be (6/(-4))/(180/80). What is the closest to 1/6 in 0.4, a, -10, 0.5? 0.4 Let g = 0.291 + -13.391. Let n = -14.2 - g. What is the closest to n in 4, 2/5, -3? 2/5 Let l = 8518 + -8507. What is the nearest to -2/5 in 1, -2, l, -0.5? -0.5 Let v = 44/7 - 1818/287. Let l = -0.24 + 0.34. Let r = -4.9 - l. What is the nearest to 1 in 0.1, v, r? 0.1 Let p = -0.0465 - 0.0416. Let m = -2.0881 - p. What is the nearest to -1 in -0.08, -0.3, m? -0.3 Let o = -45.91 + 48.91. What is the nearest to -1/4 in -92, 0.4, o, 0.1? 0.1 Let u = 36.817 - 36.717. What is the closest to u in 91, 4, -5? 4 Let o = -239/5 - -47. Let q = 5894 - 5894. Which is the nearest to 0.1? (a) 4/11 (b) q (c) o b Let q = -102 + 134. Let g = -34 + q. Let n = 1.2 - -2.8. Which is the nearest to n? (a) 0.2 (b) g (c) -4 a Let n = -1 + 1. Let d = -238.7 - -239. Let y = -47 - -45.8. What is the closest to n in d, 0.1, y? 0.1 Let s be (-7 - -6) + (-63)/(-81). Let l = -0.55 + 0.05. What is the nearest to 2 in -12, l, s? s Let j = 11 + -18. Let u be 1/18*(8 - 12). Let h = -5700 + 5704. Which is the closest to j? (a) h (b) u (c) -5 c Let q be (5/7)/(204/(-357)). Let f = 1 - 2. Suppose -r + 1 = 3*u, 4*u = -r - r + 2. What is the nearest to f in q, u, 1? q Let k = -413 + 417. Let l be k + (-4)/(-14) + (-1440)/189. Which is the nearest to 0.6? (a) 0 (b) 4/5 (c) l b Let j = 28296 + -28296. Which is the nearest to j? (a) -1/8 (b) 1.6 (c) 0.3 (d) 151 a Let q be (-2)/7*(-147)/42 + 7. Which is the closest to 5? (a) q (b) -2/3 (c) 0.5 a Let h be (-2)/7 + 6/(-28). Let r = 99.8 - 104.8. Let s = 31 + -29. Which is the closest to h? (a) r (b) -1/6 (c) s b Let a(b) = -b**3 + b**2 + 4. Let o be a(0). Let t be (-14)/o + (0 - -3). Let d = 273 - 1093/4. What is the closest to t in 1/6, 1, d? d Let s = -5 - -2. Let z = 24.9 + -24.8. Let o = -420/11 - -38. Which is the nearest to z? (a) o (b) s (c) 0.3 c Let p = 88 - 83.3. Let j = -0.5398 + -9.1602. Let x = j + p. What is the nearest to -2 in 9, -5/3, x? -5/3 Let o = 568 - 572. Let a = 44 + -45. What is the closest to a in o, 12/7, -3? -3 Suppose -28*s + 548 = -165*s. What is the closest to -201 in 1, s, 3? s Let o = -4924 + 19691/4. What is the closest to -2/7 in o, 3, 76? o Let r = 141.931 - -0.069. Let g = 45.2 - r. Let m = g + 97. What is the nearest to m in -0.4, -0.1, -8? -0.1 Let u be 3 + (121 + -2 - 4). Let x = u - 588/5. Let p = 86/63 - 8/7. What is the nearest to p in x, 0.2, -0.2? 0.2 Let a = -2826 + 2821. What is the nearest to 72 in 0.2, a, -4, 12? 12 Let l = -5 - -5.1. Let q = -635 - -634.7. What is the closest to l in q, 2, -2? q Let c = -0.6 - -0.3. Let i = 251.3 - 264. Let g = i - -12.7. What is the closest to g in -2/17, -2, c? -2/17 Suppose -3*k = -5*f + 31, -4*k = -5*f + 32 + 1. Let x = -11.5 - -11.2. What is the nearest to -0.06 in x, f, -1/3? x Let z = -808 - -692.8. Let a = 115 + z. What is the closest to -6 in a, 4, -3/5, 0.4? -3/5 Let v = 12235.9 - 12236. What is the closest to v in -2, -4, -29? -2 Let i = 522.751 + -523. Let v = i - -0.249. What is the nearest to v in 5, 9, 4? 4 Let p = 120.1 - 137. Let s = -16.7 - p. Which is the nearest to 0.09? (a) s (b) 3/2 (c) -1 a Let l = 1.29 - 2.29. What is the closest to l in -3/2, -1305, -0.4? -3/2 Let x be (-3596994)/4495905 - (-16)/20. What is the nearest to -1/4 in 5, 0.2, x? x Let k = 50.8 + -54.77. Let j = k - 0.03. Let o = 0.77367 - -0.22633. Which is the closest to o? (a) -5 (b) 4/7 (c) j b Let q = -0.009 + 0.036. Let k = 1.027 - q. Let n = -0.3 - -1.3. What is the nearest to k in -0.3, -3/4, n? n Let r = -2.9 + 2.7. Let o = -972876/5887 - 23/841. Let u = -165 - o. Which is the nearest to -3? (a) -0.1 (b) r (c) u b Let r = -11.67 - 0.33. Let n = -11 - r. Let k = 0.7 - n. What is the nearest to -0.4 in k, 2, 0.1? k Let y = -0.8 - 0.2. Let j = 52478.7 - 52476.7. Which is the closest to y? (a) j (
{ "pile_set_name": "DM Mathematics" }
. Let s(d) be the second derivative of p(d). Calculate s(-6). -2 Let k(l) = -l**3 + 2*l**2 + 3*l + 3. Let r be k(-2). Let f(x) = -1 + 12*x + r*x - 2*x**2 - 22*x + x**2. Calculate f(4). -5 Let c = 6 - 2. Let r(d) = 0 - d**2 - 1 + c*d - 3*d. What is r(0)? -1 Suppose 26*j + 20 = 22*j. Let r(y) = -y**2 + y + 4. Let v be r(3). Let p(u) = -u**2 - 3*u - 1. Let c(n) = -n - 1. Let a(f) = v*c(f) - p(f). Determine a(j). 3 Let l(m) be the third derivative of m**6/120 + m**5/15 + m**4/12 - m**3/6 - 26*m**2. Give l(-3). 2 Let h be (-1*-3*4)/2. Suppose -r = r + h. Let c(j) = j**2 + 2*j + 3. Give c(r). 6 Let f(z) = 2*z - 4. Let u(x) = 3*x - 6. Let s(o) = 8*f(o) - 5*u(o). Let d(l) = 3*l - 1. Let h be d(2). Suppose -h*k = -2*k + 12. Give s(k). -6 Let w(m) = 2*m**2 - 3*m - 7. Let d(b) = b**2 + b - 1. Let y(u) = 3*d(u) - w(u). Suppose 3*k - 2*a + 7*a = -48, 4*a + 32 = -2*k. Let t = k - -10. Calculate y(t). 4 Let a(z) = -6*z**2 - 3 + 8*z**2 - 9*z**2 - z**3. Calculate a(-7). -3 Let d(a) be the first derivative of 2*a**2 + 6*a - 1. Let i(n) = 3 + n + n + 0*n. Let l(y) = 4*d(y) - 7*i(y). Calculate l(-3). -3 Let m(n) = -n**2 - n - 1. Suppose -h = 5*t - 21, -3*t - 8 = -4*t - 4*h. Suppose t = 5*c - 6. Give m(c). -7 Let a(y) = y**3 + 9*y**2 + 4*y + 5. Let u(o) = -o**3 - 10*o**2 - 4*o - 6. Let q(x) = 5*a(x) + 4*u(x). Calculate q(-4). 1 Let w(k) be the first derivative of -k**4/4 + 5*k - 6. Let a be (2 + -2)*(-2)/(-6). Suppose -o - o = a. Calculate w(o). 5 Suppose -o + 3*g = 1, 2*o + 23 = -3*o - 3*g. Let h(d) be the third derivative of 1/60*d**5 + 0 + 1/8*d**4 + 0*d - 4*d**2 + 1/6*d**3. What is h(o)? 5 Let v(o) = -10*o**3 - 2*o**2 - 3*o - 3. Let x be v(-1). Let y(r) = -r**3 + 7*r**2 + 9*r + 6. What is y(x)? 14 Let b(f) be the first derivative of f**6/180 - f**5/40 - f**4/8 + 2*f**3/3 - 1. Let a(o) be the third derivative of b(o). Determine a(-2). 11 Let a(q) = -q**3 - 5*q**2 + q + 4. Let r be a(-5). Suppose 0 = o + 3*o - 8. Let d(f) = -2*f**2 + 0 - 1 + 0*f**2 - f**o. Determine d(r). -4 Let z(q) = -4*q + 0 + 3 + q**2 + 2*q - 4*q. Determine z(4). -5 Suppose -2 = p - 0. Let f be 5/p*(1 + -3). Let h(w) = -w + 1. Calculate h(f). -4 Let k(z) = z**2 - 6*z - 1. Let t(v) = v**3 + 10*v**2 + 19*v - 9. Let u be t(-7). Give k(u). -6 Let j = -2 - -12. Suppose -5*n - j = 5*l, 2*n + 4 = l + 3*l. Suppose -5*y + 3*y - 2 = l. Let w(z) = -z**3 + z**2. What is w(y)? 2 Suppose g + 4 = 8. Let y(o) = -o**3 + 4*o**2 + 2*o - 1. What is y(g)? 7 Suppose 5*m + 2 = -j + 7, -2*j - 3*m - 4 = 0. Let d(q) = q**2 + 0 + 7*q + q**2 - 6*q**2 - q**3 + 4. Give d(j). -6 Let w(q) = -15*q - 1. Suppose 7 = 6*l + 1. Give w(l). -16 Let q(i) = -3*i**3 + i**2 - 2*i - 2. Let t be q(-1). Let s(d) = -2*d - 3. Give s(t). -11 Let k = -3 + 8. Let r(y) = -5*y + 1. Let m(w) = -w - 1. Let o(z) = -2*z + 2. Let i(h) = 2*m(h) + 2*o(h). Let l(p) = 6*i(p) - 7*r(p). Give l(k). 0 Let y be (-42)/(-2) + 4 + -2. Let p(d) = -4*d**3 - 2*d**2 - 1. Let j be p(-2). Let w(g) = j + 6*g - y. Give w(1). 6 Suppose 0*x = -u + x - 12, 0 = -4*u - 5*x - 3. Let b = 9 + u. Let p(y) = y**3 + 2*y**2 - 3*y + 3. Determine p(b). 13 Let g(l) = 2*l**2 - l**2 - 3*l + 8*l - 1 - l**3 - 1. Give g(3). -5 Let c(f) = 2*f - 3. Suppose t = -3*u + 121, -4*u + 5*t = 40 - 195. Suppose -o + 5*o = -u. Let i be 15/o*16/(-6). What is c(i)? 5 Let u(o) = -3*o**2 + 2 + o**2 - o - 3 + 4*o**2. Determine u(-2). 9 Let a(t) = -21*t**2 + 12*t - 17. Let d(l) = 5*l**2 - 3*l + 4. Let i(x) = 2*a(x) + 9*d(x). Let c(v) = 7*v**2 - 7*v + 5. Let w(j) = 2*c(j) - 5*i(j). Give w(2). -2 Let o(m) = 1 - 4*m**3 - 6 - 3 + 5*m**3 + 6*m - 7*m**2. Calculate o(6). -8 Suppose 0 = 3*c - 10 - 2. Suppose 0*q = -2*q. Suppose -c*g - 7 = -7*g + p, q = -3*g - 4*p + 32. Let n(r) = r**2 - 3*r + 6. Calculate n(g). 10 Let i(p) = -4*p. Suppose -6*j + 2*j = -32. Suppose j*x = 10*x + 4. Give i(x). 8 Suppose 1 = h - 4*g + 3, -5*h - g = -11. Let u(s) = s**2 - s + 1. What is u(h)? 3 Let h(m) = 10*m + m + 1 + m**2 - 8*m. Let j be h(-3). Let v(o) = -7*o**2 + 2*o - 1. What is v(j)? -6 Let c(r) = -3*r**2 - 2*r - 5. Let y(n) = 1. Let l(p) = c(p) + 2*y(p). What is l(-2)? -11 Let b(x) = 15*x + 3*x**2 - x**3 - 14*x + 7 - 5. Let t = -3 + 5. Determine b(t). 8 Suppose 67*z - 66*z + 3 = 0. Let h(q) = 4*q + 4. Calculate h(z). -8 Let y(k) = 3 - 11 + 2*k + 0*k - k. Let h be y(6). Let v(d) = -d**3 - 3*d**2 + 1. What is v(h)? -3 Let t = -18 - 8. Let y = -25 - t. Let d(v) = 23*v**3 - 13*v**2 + 15. Let o(u) = 11*u**3 - 6*u**2 + 7. Let b(x) = -6*d(x) + 13*o(x). What is b(y)? 6 Let r(w) be the third derivative of w**5/15 - w**3/3 - 11*w**2. What is r(-2)? 14 Let l(q) be the first derivative of 0*q + 2 + 0*q**2 - 1/40*q**5 + 1/12*q**4 + 1/3*q**3 - 1/360*q**6. Let f(r) be the third derivative of l(r). What is f(2)? -8 Let g = -1 + 1. Let d(v) = v - 6 + 36*v**2 + 3*v**3 - 35*v**2 - 4*v**3. Calculate d(g). -6 Let n(c) be the first derivative of -c**4/4 + c**3 + c**2 - 3*c - 4. Give n(3). 3 Let v(n) = n**3 + 4*n**2. Suppose 80 = 4*s - 4*t, -5*s + 3*s - 4*t = -40. Suppose -5*m = -0*m + s. Give v(m). 0 Let w(v) be the second derivative of -2*v**3/3 - v**2 + v + 16. Suppose -3*t - 5 = 3*g + 13, -g + 4*t + 14 = 0. Let a = 0 - g. Calculate w(a). -10 Let d be (-3 - -1)/2*-1. Let m(c) be the third derivative of 0 + c**2 + 1/6*c**3 + 0*c**4 + 0*c**5 + 0*c + 1/60*c**6. Calculate m(d). 3 Suppose 0 = x - 3, -4*c + x = -c + 93. Let z be (3/2)/((-9)/c). Let d(t) = 4*t**2 - t + 1 - z*t**2 + 6*t**2. Calculate d(1). 5 Let s(h) = 2*h**3 + 13*h**2 - 19*h. Let g(m) = -3*m**3 - 20*m**2 + 29*m. Let y(u) = -5*g(u) - 8*s(u). Let l be (1/(-2))/(3/30). Calculate y(l). -10 Let o(b) = -6 + 14 - 11 + b. Give o(2). -1 Let l = 8 - 5. Suppose 3*w = -s + l*s - 9, 2*w = -2. Let p(k) = 2*k - 3 + 0 + 0*k. Calculate p(s). 3 Let d be -2*3*(-6)/(-27)*-6. Let r(t) = -t**3 + 9*t**2 - 6*t - 7. Give r(d). 9 Let m(w) = -2*w**2 - 3*w + 3. Let h(p) = 6*p**2 + 2*p - 2. Let g be h(1). Suppose -f - g = f. What is m(f)? -6 Let x(j) = 10*j - 13 + 6 - 4 - j**2. Determine x(9). -2 Let b(f) = -103*f + 52*f + 48*f + f**3 + 6*f**2 - 9. Give b(-6). 9 Let j(r) be the third derivative of r**6/720 - r**5/40 + r**4/8 + r**2. Let i(l) be the second derivative of j(l). Determine i(4). 1 Let p(v) be the second derivative of -v**5/20 + v**4/12 + v**3/6 + 7*v**2/2 - 4*v. Calculate p(0). 7 Let k(v) = v**3 + v**2 - 11. Let g(t) = 4*t**2 - 20*t. Let q be g(5). Give k(q). -11 Let s(r) = r + 7 + 12 + 6 - 29. Determine s(0). -4 Let u(q) = -2*q + 3. Let z(d) = d - 2. Let w(k) = -2*u(k) - 5*z(k). Calculate w(4). 0 Let m = 8 - 5. Let h(p) = -1 + 2*p - 2*p**3 - 2*p**m + 0*p**3 - 3*p. Calculate h(-1). 4 Let k(h) = 5*h**3 - 8*h**2 - 11*h - 2. Let q(l) = -3*l**3 + 4*l**2 + 6*l + 1. Let v(n) = -4*k(n) - 7*q(n). What is v(-4)? -7 Let g(o) = -2*o**2 - 2*o + 1. Let f be 1/(-1 - 7/(-6)). Let x(h) = h**2 - 7*h + 8. Let l be x(f). Let d = l + -4. What is g(d)? -3 Let t(l) = l**3 - l**2 - 4*l + 1. Let x = -11 + 14. Calculate t(x). 7 Let w(c) = -c - 2. Let p = 90 + -101. Determine w(p). 9 Let x be (-1 - -2) + -4 + 2. Let y(j) = j**2 + 17*j - 16. Let s be y(-18). Let m(c) = 4 - s*c + 9*c - 13*c - 3. Calculate m(x). 7 Let o be 2/(-3) - (-16)/6. Let r(y) = 3 + 0 + y**o - 4*y + 0 - 1. Calculate r(4). 2 Let u(v) be the first derivative of 0*v + 1/15*v**5 - 1 - 1/2*v**2 + 1/6*v**3 + 1/24*v**4. Let x(c) be the second derivative of u(c). Calculate x(-1). 4 Let i be (-4)/(-10) - 2/5. Let k = -3 + i. Let j(h) = -5*h + 6*h + 0*h + 6. Give j(k). 3 Let u(h) = h**3 - 6*h**2 + 7*h - 5. Let t be u(5). Suppose -t*d + 3*d + 2 = 0. Let i(n) = 2*n + 2. Let q(l) = -20*l - 9. Let g(r) = 5*i(r) + q(r). What is g(d)? -9 Let x(g) = g + 8. Suppose 0 = -11*n - 50 - 49. Give x(n). -1 Let b(t) = -3*t - 25. Let u be b(-10). Let h(w) = w + u - 6*w**2 + 11*w**2 + 8*w - 2*w + w**3. What is h(-4)? -7 Let n(x) = x**2 + 3*x + 1. Let t = 14 - 18. Give n(t). 5 Let b(j) = 3 + 3 - j + 4 - 4. Give b(5). 1 Let h(r) = -3*r**2 + 9*r**3 - 3*r - 9*r**3 - r**3 - 2. Give h(-3). 7 Suppose -3*u - 2*p - 21 = -4*p, 19 = -5*u - 2*p. Let c(k) = -9*k**2 + 27*k + 12. Let r(n) = -5*n**2 + 14*n + 6. Let i(b) = 6*c(b) - 11*r(b). What is i(u)? -9 Let i(l) = 3*l**3 - 4*l**2 + 4*l - 2. Suppose 11 + 19 = 3*u. Let y = 12 - u. What is i(y)? 14 Suppose -2 = -2*h + 2. Let c(a) = a**2 - a + 4. Le
{ "pile_set_name": "DM Mathematics" }
1 is divided by m(f). 3 Let q be (-16)/3*-1*3. Suppose 4*t + 3*x + x = q, 4*t = 4*x + 32. Let k(z) = -z - 2. What is the remainder when t is divided by k(-6)? 2 Let n = -156 - -173. What is the remainder when n is divided by 7? 3 Suppose -5*t = 15 - 85. Suppose -89 = -5*g - t. Let o = 0 + 28. Calculate the remainder when o is divided by g. 13 Suppose 3*g + 4 = -8, -4*g = 4*s + 4. Calculate the remainder when s is divided by 0 + 1 + 1 + 0. 1 What is the remainder when 8 is divided by -3 - -1*(6 + 0)? 2 Let w(z) be the second derivative of -z**5/20 + z**4/4 + 2*z**3/3 - z**2 + z. What is the remainder when w(3) is divided by (-4)/14 - 30/(-7)? 2 Let u be 12/36 + (-40)/(-6). Suppose -6*f + u*f = 12. Let s = -15 + 37. Calculate the remainder when s is divided by f. 10 Suppose 3*c = -0*c - 6. Calculate the remainder when 3/(5/(575/15)) is divided by ((-3)/(-2))/(c/(-16)). 11 Let x(h) = 5 - 3 - 2*h - 5*h**2 + 9*h**3 - 2*h**3 - 8*h**3. Suppose 0 = 3*m + 15. Calculate the remainder when x(m) is divided by 7. 5 Let y = 40 + -3. Calculate the remainder when y is divided by 10. 7 Let j = 5 + -11. Let z(d) = d**3 + 8*d**2 + 9*d + 1. Suppose -3*f - 188 = -7*c + 2*c, -3*f = -c + 40. Calculate the remainder when c is divided by z(j). 18 Let q = 9 + 3. Let g = -9 - -31. Calculate the remainder when g is divided by q. 10 Let d be 5 + (3 - 3) + -1. Calculate the remainder when ((-42)/(-9))/(d/6) is divided by 4. 3 Let q be ((-16)/4)/(2/(-12)). What is the remainder when 6/q + (-39)/(-4) is divided by (-2)/((-2)/(-4) + -1)? 2 Let b(t) = -3*t + 26. What is the remainder when b(-12) is divided by 21? 20 Let v(p) = p**3 + 2*p**2 + p. Let h be v(-2). Let m(r) = -r**3 + r + 1. Calculate the remainder when 26 is divided by m(h). 5 Let r(d) = d**2 + 8*d - 7. Let x be r(-9). Suppose -x*v - 5 = -27. What is the remainder when 19 is divided by v? 8 Let w(o) = -3*o + 9. Let r be w(7). Let b = r - -51. Let p = -7 + b. What is the remainder when p is divided by 17? 15 Suppose 4*v + w = -3*w + 48, -2*v + 3*w + 19 = 0. Suppose -3*l = -4*l. Suppose l*b + 4*b - 12 = 0. Calculate the remainder when v is divided by b. 2 Let f(c) = c**2 + c + 1. Suppose -3*j - 37 = -4*a + 41, 0 = -a - 3*j + 12. Let g = -5 + a. What is the remainder when g is divided by f(2)? 6 Let j(k) = k**2 + 10*k - 4. Calculate the remainder when j(-15) is divided by 24. 23 What is the remainder when 2 + 1 - (-156 + -5 + 8) is divided by 53? 50 Let r(u) = -u**3 - 3*u**2 + 5*u - 7. Let g be -1 + -2 - 4 - -2. What is the remainder when 70 is divided by r(g)? 16 Let b be -1*(48 + 2/(-2)). Let z = b + 68. Calculate the remainder when z is divided by 11. 10 Suppose 48 = 4*b + y, 0*b - 2*y = -2*b + 24. What is the remainder when 22 is divided by b? 10 Suppose 6 = 2*w - 6. Let f = 25 + -4. Calculate the remainder when f is divided by w. 3 Let n(z) = z**3 - 2*z**2 - 7*z + 9. Suppose 0 = 2*c - 4*c. Calculate the remainder when 2 + c - (-16 - 5) is divided by n(4). 10 Let v(c) = -c**2 - 8*c + 13. Let s be v(-9). Suppose -s = -4*y - x, -3*y + 2 = 5*x - 1. What is the remainder when 1 is divided by y? 0 Let k(g) = 2*g**2 + 46*g - 25. Suppose -3*t = -0*t - 39. What is the remainder when k(-24) is divided by t? 10 Suppose -139 = -5*n + 146. Calculate the remainder when n is divided by 12. 9 Suppose 62*l = 61*l + 40. Calculate the remainder when l is divided by 29/2 + 2/(-4). 12 Let f(g) = -g**3 - 4*g**2 - 3*g + 5. What is the remainder when 2/(-2 - 132/(-64)) is divided by f(-4)? 15 Suppose 0 = i - 32 - 29. Calculate the remainder when i is divided by 21. 19 Let i(r) = 4*r**2 - r. Suppose 5 = b, -2*f + 0*f - 4*b = -132. What is the remainder when (f - (-1 + 3)) + -2 is divided by i(-2)? 16 Suppose -3*t + 8 = -t. Suppose -t*y + y = -93. Let v = -7 - -18. Calculate the remainder when y is divided by v. 9 Let d = -53 + 102. Calculate the remainder when d is divided by 13. 10 Let v = 20 + -9. Calculate the remainder when v is divided by 4. 3 Calculate the remainder when ((-7)/7)/((-98)/(-50) + -2) is divided by 16. 9 Let m = -121 + 433. Calculate the remainder when m is divided by 63. 60 Let x(h) be the third derivative of -h**6/120 + h**5/20 + h**4/12 + 2*h**3/3 - h**2. What is the remainder when 18 is divided by x(3)? 8 Let v(d) = d**3 + 10*d**2 + 14. What is the remainder when v(-10) is divided by 8? 6 Suppose -5*l + 2*i = -66, -6*i - 10 = -l - 4*i. Calculate the remainder when 27 is divided by l. 13 Suppose -3*m - 6 = -6*m. Let b = 5 + 2. What is the remainder when b is divided by m? 1 Let t(y) = y**3 + 6*y**2 - 10*y - 18. What is the remainder when 74 is divided by t(-7)? 2 Let k be (-14)/3 + (-4)/(-6). Let g = 9 + k. What is the remainder when 3/36*4*39 is divided by g? 3 Let g be (-1)/((-5)/2)*5. Suppose f + 4*l + 3 = 0, 0 = 2*f + l - g*l - 39. Let w = 30 + f. Calculate the remainder when w is divided by 12. 11 Suppose -10 = -5*y - 0. Suppose c = -c - 8, 0 = 2*a + y*c - 58. Calculate the remainder when a is divided by 9. 6 Let a be 0 - (-3)/((-9)/21). Let x(w) = -w**3 - 8*w**2 - 8*w - 2. Let u be x(a). Calculate the remainder when 25 is divided by (-37)/(-5) - 2/u. 4 Let w be (-2)/((9/(-12))/(-3)). Let v be 9/(-12) - (-10)/w. Calculate the remainder when (-845)/(-20) - v/(-8) is divided by 15. 12 Suppose -r + 124 = -2*m, -4*r - m - 275 = -789. What is the remainder when r is divided by 43? 42 Suppose -2*j - 2*v = 2*j - 112, 0 = -3*j - 4*v + 79. Let p(u) = 17*u - 115. What is the remainder when p(10) is divided by j? 26 Let l = -2 + 2. Suppose 8 = y - l*y. Calculate the remainder when 37 is divided by y. 5 Suppose 2*a - 2 = 4. Suppose s - 132 = -a*s. Calculate the remainder when s is divided by 12. 9 Suppose -3*u - t = -2*u - 4, -t = 3*u - 12. Suppose h + 84 = u*h. Calculate the remainder when h is divided by 10. 8 Let x = 4 + 2. Let a(i) = 3*i + 1. Suppose -1 = 2*c - 11. What is the remainder when a(c) is divided by x? 4 Let r be (-23)/2 - (-2)/(-4). Let f be (2/4)/(1/r). What is the remainder when 10 is divided by (-2)/f*(-48)/(-4)? 2 Suppose -4*o + 20 = -4. What is the remainder when o is divided by 2? 0 Let f = 209 + -119. Let w = f - 54. What is the remainder when w is divided by 10? 6 Let q = -6 - -8. Suppose 0 = -2*d + q + 8. Calculate the remainder when 14 is divided by d. 4 Let v = 33 - 15. What is the remainder when v is divided by 14/(-4)*27/((-189)/20)? 8 Let i = -4 + 6. Suppose 0 = -i*b - 8, 4*p - 115 = 5*b - 31. What is the remainder when p is divided by 6? 4 Suppose -3*p + 14 = -4*o, 2*p - 4*o - 2 - 10 = 0. Calculate the remainder when 3 is divided by p. 1 Let h(t) = -3 - 2*t + t**3 + 5*t**2 + 1 + 0*t**2. Calculate the remainder when h(-4) is divided by 12. 10 Let q = -20 - -27. Calculate the remainder when 12 is divided by q. 5 Let x = 3 - 5. Calculate the remainder when 22 is divided by 4 - 2/x - -1. 4 Suppose -d - 4 = -5. Calculate the remainder when (-1 - (d + 17))*-1 is divided by 7. 5 Let n = -7 - -7. Suppose -3*i + 12 = -n*i. Calculate the remainder when i is divided by 2. 0 Let j(h) be the second derivative of -h**5/20 + 5*h**4/12 - h**3 + h**2 + 3*h. Let s be j(4). What is the remainder when 19 is divided by 3/(-6) + (-63)/s? 9 Calculate the remainder when (-38)/(-12) + (-1)/6 is divided by 1 - 1 - (-2 + 0). 1 Let b(g) = 19*g**3 - 3*g**2 + 1. Let s be b(2). Suppose 2*y = s - 1. Calculate the remainder when y is divided by 18. 16 Suppose 5*n - 534 = 281. What is the remainder when n is divided by 41? 40 Let m(n) = n**3 + n + 1. Let y(o) = 2*o**3 - 6*o**2 - o + 4. Let q(t) = 3*m(t) - y(t). Calculate the remainder when 10 is divided by q(-5). 2 Suppose 5*t = t + 208. Suppose m - 8 = -d, -d + 2*m + m = -4. Let h = d + 11. Calculate the remainder when t is divided by h. 16 Let d(r) = 10*r - 4. Calculate the remainder when 26 is divided by d(2). 10 Suppose -3*v - 569 = -5*f, -f = f - 2*v - 230. Calculate the remainder when f is divided by 38. 36 Let s be (-3 - (-222)/10)*5. Suppose -54 = -5*m + s. Suppose 2*j - m = -2*a, 0 = -2*a + 2*j - 5*j + 35. What is the remainder when 29 is divided by a? 9 Suppose -3*q + 2*c = -5*q - 8, 4*q = 2*c + 8. Suppose -30 = -3*j - q*j. What is the remainder when 27 is divided by j? 7 What is the remainder when ((-54)/4)/((-2)/36) is divided by 35? 33 Suppose 0*y = 2*r -
{ "pile_set_name": "DM Mathematics" }
- 4*n**2 - 13*n - 3. Let u be r(-2). Which is smaller: u or -42/89? u Let c be ((-69)/4)/((-9)/408). Suppose 6*n - c = -80. Which is greater: 118 or n? 118 Let x = -2/4402879 - -80784023906/30820153. Let l = x + -2616. Is -0.1 less than or equal to l? True Let z be -6 + 3/((-9)/(-6)). Let w(p) = p**2 + 4*p - 1. Let v be w(z). Let m = -2/4249 - -1228/29743. Is v less than or equal to m? True Let p = 2 - -5. Suppose -3*j = -p*j + 260. Let o be j/(-91)*(-2)/(-5). Is o < 0? True Let n be 1/7 + 1 + (-108)/(-28). Let c be -1 - ((-11)/(-55) + (-21)/n). Suppose -4 = -p - 5*m - 3, c*p = -5*m + 3. Which is smaller: p or 5/9? 5/9 Suppose -2*x + 10 = -3*q, 3*x = 2*q - 0*x + 15. Let r = 3308 - 459813/139. Which is smaller: r or q? r Let x = 39 + -59. Suppose 40*j + 451 = -269. Which is smaller: j or x? x Let t = -29 + 39. Suppose -9 = -5*f + 2*f, 34 = 4*b - 2*f. Does b = t? True Let j be 2/7 - (-16)/(-7). Suppose 5 = -n + 14. Suppose -5*v + 21 + n = 0. Is j at least v? False Let b = -13654/3 - -4552. Is -143/21 smaller than b? True Let q = 13884.83972 + 0.16028. Which is greater: q or -2/3? q Let b = 7965 + -7961. Is 180 less than b? False Let l(s) = 3*s + 2. Let p be l(-7). Suppose -76 = -5*a + 99. Let q = -54 + a. Is p at least as big as q? True Suppose 2*z + 4*x - 36 - 128 = 0, 2*z - 167 = -3*x. Let d be (z/(-6))/(3 - (-124)/(-36)). Which is greater: 35 or d? 35 Suppose 2*s - 4*s = 102. Suppose -2*o - 95 = -5*b - 0*b, -b - 1 = 0. Are o and s unequal? True Let h = 2030 + -2023. Let z be ((-1)/(-3))/(13/351). Is z equal to h? False Suppose 744 = 4*y + j, 628 = 3*y + 4*j + 70. Let p = y - 260. Which is greater: -1 or p? -1 Suppose -28 = -4*v, -2*n - 26*v - 332 = -28*v. Let m = -82 - 77. Are m and n equal? True Let t = 3736 + -17103. Which is bigger: -13368 or t? t Let a = 7335 - 8819. Which is bigger: -7427/5 or a? a Let z(m) = -m**2 - 175*m - 249. Let p be z(-131). Is 5516 >= p? True Suppose 15*n + 18 = 12*n. Let t(f) = -f**2 - 2*f + 1. Let a(m) = 7*m**2 + 4*m - 15. Let x(y) = n*t(y) - a(y). Let s be x(7). Are s and 17 equal? False Let b be -10 - 22*-4*88/1696. Which is greater: -6 or b? b Let f = 225 - 411. Let g = 250 + f. Which is greater: -0.2 or g? g Suppose 12*p + 32 + 53 = -47. Let i be (0 + -1)*64/8. Is i less than p? False Let v = 5202 - 5201.862. Which is bigger: v or 36/7? 36/7 Let u be (-11)/(-160798)*(-4 - -6). Is 0 <= u? True Let p be -2*(8 + (-861)/105). Let k = -0.27 - 0.83. Which is smaller: p or k? k Let c be -284*((-108)/(-240) - 4). Which is smaller: c or 1009? c Suppose -s - 93 = -2*s. Let y = -6254 - -6256. Which is smaller: y or s? y Let v = 269.7 + -51.7. Let a be (65/260)/((-6)/21 - (-45)/84). Is a smaller than v? True Let p = -101167 - -4957705/49. Does 12 = p? False Let m be ((-3)/13796)/(9*3/(-24)). Is 0 at least as big as m? False Let x(y) = -5*y**3 - 9*y**2 + 9*y + 31. Let t(m) = -m**3 - m. Let q(c) = -4*t(c) + x(c). Let j be q(-10). Which is smaller: j or -140? -140 Let z(i) = -i**3 - 9*i**2 + 3*i + 16. Let l be z(3). Which is greater: l or -85? l Let l be (3 - (6 - 9))/(31/28 - 1). Is l less than 58? True Suppose -166*q + 146*q + 100 = 0. Suppose q*x + 2*g - 1119 = 10*x, 0 = -x + 5*g - 210. Which is smaller: -227 or x? -227 Suppose -529*v + 18 = -1019*v + 508*v. Let j = 2984 + -4681897/1569. Is j less than v? True Let k = -1 + 1. Let n = 89537587/16 + -5593957. Let u = 2142 - n. Are k and u non-equal? True Let b(l) = -l**2 - 4*l + 8. Let x be b(-5). Suppose h = -x*t + 386, 4*t - 89 - 429 = -2*h. Which is smaller: t or 128? t Suppose -112 = -5*l + 1673. Let n = -254 + l. Is 103 less than n? False Let a = 296 - 167. Suppose m = -5*n - a - 448, n = -5*m - 101. Which is greater: n or -117? n Let b be 7*22/5 - (-8)/(-10). Let t be 4/b*(-240)/(-144). Does t = 2? False Let m = 457 - 457.01. Suppose 18 = 4*l - 5*o, 3*o + 6 = 2*l + 2*o. Suppose -4 = c - l. Is c at least m? False Suppose 382*r - 378*r = -n + 26, 3*r - 27 = 3*n. Let t(v) = -v**2 - 11*v. Let j be t(-11). Suppose 4*f + 7 - 39 = j. Are f and r non-equal? True Let v = 2301 - 2437. Does v = -136? True Let b = 1602 - 1313. Is 3177/11 < b? True Suppose 49 = 107*u - 100*u. Let x be u/(-35) + 1/((-740)/(-268)). Which is greater: -1 or x? x Suppose 5*n + 26024 = -3*j, -4*n + 5*j - 13370 = 7390. Is n > -5199? False Let s = -191.7 - -207.7. Is -3.7 smaller than s? True Let r(t) = -t + 6. Let i be r(4). Suppose 0 = i*z + 2*z. Let c = 181820/37 + -4914. Is z bigger than c? False Let u = -26873/114 + 547/38. Let k = u + 221. Is k less than 1? True Let v = 1147 - 1110. Let f = 14 + 18. Which is bigger: v or f? v Let u = -118 + 382. Suppose 5*x - u = -4*w, -8*w = -2*x - 10*w + 104. Is x at most as big as 57? True Let i(v) = 2*v**3 - 15*v**2 + 13*v + 1. Let l be i(1). Let c be -6 + 511/56 + l. Is c bigger than 1? True Let b be (120/(-14))/(3/(-14)). Let v be (2/(-4))/(5/(-110)). Suppose -10*j - 40 = -v*j. Are b and j equal? True Let a = -3153.936 - -3122. Let g = -0.064 + a. Which is bigger: 1/6 or g? 1/6 Let a be (-5)/((3/6)/(6/4)). Let x(o) = o**2 + 14*o + 21. Let w be x(a). Let i be (-24)/w - (-11)/16. Does -1 = i? False Suppose -3*d + 108 = -y, 4*y + 31 = 19. Let a(z) = z**2 - z + 36. Let o(s) = s**2 - s - 2. Let t be o(2). Let u be a(t). Do d and u have the same value? False Let l = 31 - 36. Let x(m) = -m**3 - 4*m**2 + 5*m + 3. Let a be x(l). Let s be ((-9)/(-585))/(a/5)*9. Is s at least as big as 1? False Let n be (114/7)/((-17)/(2380/90)). Does 7 = n? False Suppose 9 = -53*y + 50*y + 5*r, 0 = -4*y - r - 12. Which is smaller: y or -37/18? y Let t be (-23)/322*(6 + -6). Which is smaller: -7/5037 or t? -7/5037 Suppose -100 = -5*o + 5*h, -3*h + 100 = 5*o - 0*h. Suppose o*r - 14*r = 306. Do r and 54 have the same value? False Let i = -66707/219 - -914/3. Let l = 5669 - 5668. Which is greater: l or i? l Let s = 5309 - 5309. Which is bigger: 1/461 or s? 1/461 Let m = -2146.4 + 2146.3. Which is bigger: m or -84.7? m Suppose 4*r - 2*k - 6 = 0, 2*k = -3*r + 455 - 454. Suppose 19 = 5*q + 539. Which is greater: r or q? r Let w = -18744 - -18700. Which is greater: -1045/24 or w? -1045/24 Let g(h) = -h**3 - 8*h**2 - 6*h + 3. Let o be g(-7). Let w be -180 - (8 + 2 + o). Which is smaller: w or -187? -187 Let j = 41670.768 + -41671. Which is greater: j or -1/66? -1/66 Suppose -11*n + 66*n = 110. Is 15/13 not equal to n? True Let v be (42/(-28) + 3)/((-1)/(-20)). Let p be v/5*3/(-18). Which is smaller: 2/707 or p? p Suppose 291 = 16*g + 575 - 300. Let l = 1801 - 3062. Let t = 94577/75 + l. Is g greater than t? True Let n = 421635/4 + -104589. Which is bigger: n or 821? 821 Let r be (-3)/((-12)/28) - 2. Suppose 3*g = r*p - 30 + 1431, 861 = -3*p - 5*g. Let j be 0 + (-12)/30 + p/(-5). Is 56 bigger than j? False Let a(i) = 70*i - 771. Let y be a(11). Which is smaller: y or 3/164? y Let f = -867 + 1233. Let m = f - 209. Do m and 158 have different values? True Let t = -1606 + 1656. Is t smaller than 3? False Let w(z) = -591*z - 591. Let r be w(-1). Does r = 1/1215? False Let m = -11980 - -12703. Is 0.04 smaller than m? True Let v be (5 + -7)/(-1638)*-1238. Let h = v - 4/91. Let a(o) = -o + 1. Let d be a(2). Do h and d have the same value? False Let m = 16764 + -16655. Let z be ((-222)/4)/(4/(-8)). Which is greater: z or m? z Let y = -1/5667 + 15155/243681. Which is bigger: y or -1? y Let v = -294 + 295.53. Let x = v + -0.53. Which is bigger: x or -69? x Let a be (-3)/(16/72 - 1018/4824). Let u = a - -267. Which is smaller: u or -8/9? u Let p be -3 - ((-46600)/(-44))/5. Let d = -215 - p. Is d less than -60? False Let a be (-608)/(-44) + 4/22. Suppose 4*p + a = 3*p. Let f be (-2)/12*(-6 - p). Which is smaller: f or -1? f Let o = 1156 + -1481. Is -326 > o? False Let w = -388 - -393. Suppose -8*m = -3*m + w, 0 = -2*u - m - 281. Is u less than or equal to -140? True Let i be 3 + -7 - 771/(-187). Let o = -1/17 - i. Suppose 2*a = -1 + 15. Which is smaller: a or o? o Let h = -6189 + 6189. Is 12/541 at least as big as h? True Let n be (21/1260)/((-2)/5)*2. Let q = -1.2 + 4.2. Are q and n unequal? True Let k = -2.24 - 87.76. Let b = 88 + k. Which is greater: 12 or b? 12 Suppose -13*m = -113 + 841. Suppose -2*j - 3*q = -13, -5*j + 27 = 4*q - 2*q. Suppose 4*c + 222 = 2*p, -3*c - j*p - 170 = -3*p. Is m greate
{ "pile_set_name": "DM Mathematics" }
3*c = -4*l - 188*c - 2 for l. -3 Solve -659*r = -657*r + 3*s - 16, r - 3*s + 19 = 0 for r. -1 Solve -95*h = 4*x - 6*x + 186, 0 = 8*h - 3*h - 5*x for h. -2 Solve -5*o - 349 = 2*p - 390, 4*o - 28 = 0 for p. 3 Solve 2*b - 3*t = 2, -4*b + 1252*t - 1250*t = 4 for b. -2 Solve -4*f = 10000*i - 10003*i + 25, i + f + 1 = 0 for i. 3 Solve 5*b + 17 = 2*l, 81*l = 80*l - 2*b - 5 for l. 1 Solve 0 = -5*y + 4095*l - 4090*l - 25, -5*y = -4*l + 29 for y. -9 Solve -5*c - 39 = 3*t, -c + 46*t = 42*t - 29 for c. -3 Solve 0*d = 3*m - 5*d - 37, 3*m + 5*d + 13 = 0 for m. 4 Solve 3*h + 2 = -n - 11, 4*h + 20 = 0 for n. 2 Solve v = r - 10, -85*v + 2*r = -86*v + 2 for v. -6 Solve -4*b = 18*m - 22*m - 20, 3*m + 15 = -b for b. 0 Solve -4*f - d + 3 = 0, d + 755 = -3*f + 756 for f. 2 Solve 355*k + 2*b = 350*k - 8, 0 = k - 6*b - 24 for k. 0 Solve 0 = -a - 24*l + 21*l - 10, 2*l = 3*a - 14 for a. 2 Solve -5*z + 44 = 29, 0 = -3*v - 3*z + 18 for v. 3 Solve 5*l = 4*x + 8, -5*l + 4*x - 8*x = 8 for l. 0 Solve -3*i + 8 = -2*r, 326*r - 322*r = -i - 2 for i. 2 Solve 3*y + 5 = a, -2*y - 2*a + 5 = -7*y for y. -5 Solve -2*t + 3*j - 1 = 0, j + 3*j - j - 9 = 0 for t. 4 Solve 209*a - 205*a + 55 = 3*b, 2*b - 5*a = 67 for b. 1 Solve 0 = 4*z - 5*w + 11, 2*z + 104*w - 109*w = 7 for z. -9 Solve 4*r + 2376*a - 2381*a = -5, -3*r - 5 = -4*a for r. 5 Solve 0 = -2*y + 14*v + 28, -2*y - 48 = 5*v + 19 for y. -21 Solve -11*i + 23 = -2*o - 6*i, -2*o - 18 = -4*i for o. 1 Solve -52*b = -2*c - 55*b + 1, 2*c - 4 = -4*b for c. -4 Solve 758*i + 7 = 756*i + q, 16 = -5*i + q for i. -3 Solve -2*w = 7*z + 18, -2*z - w - 193 + 190 = 0 for z. -4 Solve 29 = 3*y + p, 0 = -5*y - 38*p + 36*p + 47 for y. 11 Solve 66*w - 70*w + 5*o + 43 = 0, 4*w - 22 = 2*o for w. 2 Solve -4*f - 328*g + 333*g = 91, f + 64 = 4*g for f. -4 Solve 46*c = 47*c - 2*j - 18, 2*c - 6 = -2*j for c. 8 Solve -185*r + 188*r - 2*o - 23 = 0, 0 = -r - 4*o - 11 for r. 5 Solve h + 52 = -3*k, -3*k = 144 - 90 for h. 2 Solve d = 4*n - 14, -6*d + 3*d - n + 10 = 0 for d. 2 Solve 2*i = -z + 3, -i - 5*z + 17 - 29 = 0 for i. 3 Solve 4*f = -4*s + 20, -20 = -194*s + 191*s - 4*f for s. 0 Solve -4*f = -16, 31*f + 22*f - 50*f - 2 = -b for b. -10 Solve -252435*k + 252438*k = -2*n + 7, 6*k - 5*n - 50 = 0 for k. 5 Solve 7*f - 27 = q, -41*q = 3*f - 39*q - 14 for f. 4 Solve -7*y = -3*t - 6, 519*t + 10 = 514*t + 5*y for t. -2 Solve -f = -5*o - 39, -2*f - 2*o + 3781 = 3799 for f. -1 Solve 6*v - 12539 = -4*o - 12549, 3 = -4*v + o for v. -1 Solve 5*j = -r + 29, -1 = 81*r - 80*r - j for r. 4 Solve 8*b + 30*w - 156 + 36 = 12*b, 4 = w for b. 0 Solve 11*w - 4 = 10*w + 3*q, 3*w - 11*q = -0*w + 16 for w. -2 Solve -2*v = -3*q + 13, 0 = -q - v - 57 + 58 for q. 3 Solve -2*a - 462 = -i - 471, 5*a = 2*i + 20 for i. -5 Solve -q + 3*v - 18 = 0, -9*v = -4113*q + 4108*q - 66 for q. -6 Solve -4*f + 4*s = 12, 0 = -6*f - s + 6*s - 18 for f. -3 Solve 2*g - 4*p + 14 = 0, -289*p + 285*p + 2 = 2*g for g. -3 Solve 195*g = 188*g + 7, -5 = 2*u + 5*g for u. -5 Solve 0 = r - 3*g - 12, -3*r + 41*g = 46*g + 34 for r. -3 Solve -2*k = 5*r + 10, -2*r + 10 = -6*k + 4*k for k. -5 Solve o = 3*v - 18, -2*v = -6880*o + 6879*o - 13 for v. 5 Solve 20 = -100*m + 96*m + c, -4*m = 4*c + 40 for m. -6 Solve -5*i = g + 32, 4*g + 4*i + 19 = g for g. 3 Solve -3*c - 68 = 4*v - 33, -4*v = -3*c + 5 for c. -5 Solve 4*x = 2*o - 32, -233*x + 13*o - 64 = -231*x for x. -6 Solve 4*j + 24 = -4*p, 48*j - 10 = 45*j + 4*p for j. -2 Solve -53*o = -48*o + 25, 7*n - 4*o = 27 for n. 1 Solve -4*v - 88 = -2*l, 5*l - 9*v = 901 - 702 for l. 2 Solve 2*g + 19 = -5*t, -4*g + 9*t - 5*t = 24 for g. -7 Solve p + 5 = 0, 2*p - 302 = 9*u - 87 for u. -25 Solve 15*b = -4*k + 17*b + 18, 0 = 5*k - 6*b - 75 for k. -3 Solve -3*t = 4132*i - 4129*i + 2*t + 10, 2*i + 4*t + 10 = 0 for i. 5 Solve 3*t - 9 = 4*j, 2178*j = 2179*j + 2*t - 6 for j. 0 Solve 0 = 24*m - 27*m + u, 5*m = -4*u for m. 0 Solve 159 = 3*y + 171, -3*o - 3*y = 18 for o. -2 Solve -h = 2*q + 22, 34 = -4*h - 272*q + 270*q for h. -4 Solve -2*a = 4*k - 18, -5*a + 150 = 3*k + 112 for a. 7 Solve 0 = 4*r - 4*l - 8, -29*r = -25*r - l - 8 for r. 2 Solve l = 3*f - 123 + 124, 25 = 5*l + 5*f for l. 4 Solve -5*d - 3*t - 18 = 0, 2*d + 59*t - 56*t = 0 for d. -6 Solve 3*u + 0*v + 52 = 9*v + 46, -5 = -5*v for u. 1 Solve 2*u - 94*s + 98*s = -28, -4*s = 4*u + 68 for u. -20 Solve l + a = 0, -301 = -4*l + 4*a - 277 for l. 3 Solve -11*k - 77 = 0, -3*w + 3*k = w - 19 + 6 for w. -2 Solve -4*s - 2*k + 6 = 0, -3*k = s + 43 + 61 - 93 for s. 4 Solve 4*i - 32 = 4*j, 5*i - 43 = 2*j - 12 for i. 5 Solve w + 31 = -6*z, 2*w = 3*z + 10 + 3 for z. -5 Solve d - 10*b = 39, 2*d - 2*b + 74 - 80 = 0 for d. -1 Solve 4*u - 14 = -2*f, 2*f - 9302 + 9298 = -5*u + 3*u for f. -3 Solve c = -d + 1182 - 1183, 0 = -3*c - 2*d - 3 for c. -1 Solve g = 57*v - 53*v - 4, 0 = -4*v - 5*g + 4 for v. 1 Solve -5*a + 30 = -5*p, p + 233 - 200 = 4*a for a. 9 Solve -84*w + 85*w = 2*p - 5, p + 2*w = 10 for p. 4 Solve -2*h = -6*j - 4, 50*h + 4*j + 16 = 103*h - 49*h for h. 5 Solve 3*j = 5*d + 47, 5*d + 72*j = 68*j + 51 for d. -1 Solve 5*n = 4*t - 0 + 14, 20*n - 10*n + 44 = -4*t for n. -2 Solve -4*y + 12 + 4 = -4*x, -11 = y + 2*x for y. -1 Solve 0 = -4*i - 5*b + 22 + 49, -i - 4*b = -48 for i. 4 Solve -5*g - 25 = 3*o, 4*o - 5*g = -16 - 29 for o. -10 Solve -5 = 5*m + 4*t, -280*t + 284*t = 20 for m. -5 Solve -60 = 4*n - 4*d, 4*n - d + 36 - 6 = 0 for n. -5 Solve y = -61*p + 60*p + 12, -12*y - 3*p = -81 for y. 5 Solve 3*p - 27 = 4*h, 2*p + 53 = -2*h + 57 for h. -3 Solve -4*d - 4*f = -1 + 25, -d = -2*f - 9 for d. -1 Solve -11*f = -2*b - 8*f - 5, -2*f + 10 = -3*b for b. -4 Solve -7291*i + 7292*i = -3*r + 3, i = 15 for r. -4 Solve 5*t - 3*k + 10437 - 10408 = 0, -k = -t - 7 for t. -4 Solve -49 = 7*i + 5*b, 5*i + 3*b = -36 + 1 for i. -7 Solve -o + 1 = 3*c - 3, 39787 = -2*c + 39789 for o. 1 Solve -x + 3*r = -0*r + 43, 0 = 12*r - 15*r + 48 for x. 5 Solve -4*t - 4 = 0, -13*p + 3 = -12*p - 3*t for p. 0 Solve 4*d + 2*a = 42, -5*d - 37*a + 42*a - 30 = 0 for d. 5 Solve -22 + 7 = 3*m, -53*z = -55*z - 2*m for z. 5 Solve -8*p = 12*n - 3*n - 4*n + 19, -2*n = -2 for p. -3 Solve -4*d - 12 = 4*q, 63*q + d + 8 = 67*q for q. 1 Solve f + 47 = -3*s + 8*f, -9 = -20*s + 21*s - f for s. -4 Solve 107*k - 105*k = 4*a + 26, 2*k = -4*a - 30 for a. -7 Solve 11*z - 4*o = 15*z + 28, -36 = 6*z + 4*o for z. -4 Solve 4*p = -6*x + 16, -5*p = -2*x + 15 - 35 for p. 4 Solve 0 = -1211*o + 1215*o + 5*t + 13, -2*o - 4 = 2*t for o. 3 Solve 2*p - 2 = 2*z, 4*z + 227 = -3*p + 251 for z. 3 Solve 26 = -4*w + 10*y, -2*y = -3*w + 103 - 106 for w. 1 Solve 672*r + 23 = -4*b + 677*r, -r = 2*b + 1 for b. -2 Solve -5*h + 4*a + 17 = 0, -h - 2*a = -513 + 504 for h. 5 Solve 9*t - 26 = -53, -6 = -3*j + 5*t for j. -3 Solve 0 = 2*n + h - 7, -2161*n = -2163*n - 2*h + 12 for n. 1 Solve -q = -k - 2, 4*k - 2*q + 243 - 229 = 0 for k. -5 Solve -5*j + 214*c - 28 = 215*c, 3*j + c + 18 = 0 for j. -5 Solve 308*t - 5*l = 307*t - 8, -3*l + 60 = 4*t for t. 12 Solve 104*k - 3*p = -416, 5*k - 2*p - 4 = 6*k for k. -4 Solve u = 2*i + 11, -3*u - 79414*i + 79417*i + 18 = 0 for u. 1 Solve -5 = -t + 41000*d - 40998*d, -13 = -3*t + 4*d for t. 3 Solve 0 = -4*j - f + 27, 2*f = 3*j + 45 - 35 for j. 4 Solve -3*j + 313 = -4*z + 305, 5*z = -25 for j. -4 Solve 2*g - 51 = 1459*v - 1464*v, -5*v + 12 = -g for g. 13 Solve 2*g - 209 + 191 = 2*n, 0 = -5*g + 3*n + 33 for g. 3 Solve 4*l + 32 = 4*j, -19 = -3*l - 3*j + 17 for l. 2 Solve 4*x - 9*x + 4*c + 42 = 0, -2*x - 7*c = -34 for x. 10 Solve -4*h + 4 = 4*p, -2*h + 68 = -4*p + 84 for p. 3 Solve -2*u + 20 = -5*f, 2*u = -72*f + 68*f - 34 for u. -5 Solve 2*y + 0*y + 3*r - 24 = 0, 32 = 4*y + 2*r for y. 6 Solve 16*s = 11*s - 4*a - 15, -2*a = 8*s + 46 for s. -7 Solve 3*r + i - 16 = 0, -4*i = 9 - 25 for r. 4 Solve 2*v - 3*n = -77, 103 = -3*v + 39*n - 35*n for v. -1 Solve -p - 17 = -b - 22, 5*b - 4*p + 27 = 0 for b. -7 Solve 0 = -5*k + 5, -12*x + 64 = -k + 29 for x. 3 Solve n + 50 - 27 = 3*q, -45 = -5*q for n. 4 Solve 5*o = 5*s + 30, -12*s = -16*s - 5*o + 48 for s. 2 Solve -9*k + 13*k = 4*y + 12, 5*y + 4*k + 33 = 0 for y. -5 Solve 5*c + 84*q - 167*q + 10 = -85*q, -8 = 4*c - 2*q for c. -2 Solve -15*c + 12*c = 4*v + 8, 0 = 5*c + 3*v + 17 for c. -4 Solve -q = -2*t - 26, -2 = 2*t + 59*q - 54*q for t. -11 Solve 81 = -4*h - 5*t, 5*
{ "pile_set_name": "DM Mathematics" }
*r, -4*j = 5*r + 33 for j. -2 Solve -2*g + q = -7*g - 28, -5*g + 3*q - 16 = 0 for g. -5 Solve -b - 3*q = -11, 0 = 5*b - 4*q - 18 + 1 for b. 5 Solve -2*u = -y - 2 - 0, -3*u - 2*y = -10 for u. 2 Solve -3*h + 27 = -5*w - h, -10 = 3*w + 5*h for w. -5 Solve 0 = -h - 1, -3*g + h + 3*h = -7 for g. 1 Solve 0 = 3*r - 3*k - 12, -r = -64*k + 60*k - 16 for r. 0 Solve -20 = -5*q + 3*z - 6, 2*z = q for q. 4 Solve 0 = j - 0*j + 5, -i - 2*j - 11 = 0 for i. -1 Solve 3*c + 39 = 24, -u - 27 = 5*c for u. -2 Solve 0 = 2*o - 2, -2*o = 4*u + o - 7 for u. 1 Solve -3*d = 2*k - 0 - 19, -4*d + 4*k - 8 = 0 for d. 3 Solve h = 5*a - 14, -5*a = 3*h - 5 - 13 for a. 3 Solve 5*u - 11 - 4 = 0, 3*k - u = -12 for k. -3 Solve 71*o - 3*t = 68*o - 3, -5*o = t + 23 for o. -4 Solve -3*k - 15 = -5*a, -k - 81*a + 15 = -76*a for k. 0 Solve 5*f - 5 = -5*i, 5*i + 5 = 3*i + 5*f for i. 0 Solve -5*c = -5*a + 20, -29*a + 14 = -27*a for c. 3 Solve -21*b - 5*n = -22*b - 5, -3*b = 5*n - 5 for b. 0 Solve 5*t + 5 = -n - 25, -3*n - t = 20 for n. -5 Solve -1 = -o - 4*q + 5, -o + 5 = 3*q for o. 2 Solve -3*y = -5*o + 19, -3 = -3*o - 5*y - 12 for o. 2 Solve 2*o + 2 = y - 0*o, 0 = -5*y - 2*o - 26 for y. -4 Solve 3*a = 2*g + 22 - 5, 0 = 5*g + 5 for a. 5 Solve -2*s + 5 = 3*r, 0 = 2*r + 5 - 15 for s. -5 Solve -q = 5*b + 18, 22*b + 6 = -4*q + 24*b for q. -3 Solve -1 = -x + d, -4*d - 1 = -5*x - 0*x for x. -3 Solve 2*v - 4*v - 4*t - 22 = 0, -t = -v - 2 for v. -5 Solve 5*d - 2 = 2*n, 4*n - 2*d = 5 - 9 for n. -1 Solve 0 = 4*d - 5*u - 29, 5*d - 3*u + 6*u + 10 = 0 for d. 1 Solve -c + 3 + 2 = 5*x, -x + 5*c + 1 = 0 for x. 1 Solve 11 = 2*i - 4*o + 9, 3*i + 2 = o for i. -1 Solve -3 = u - 2, 3*s - 4*u = 13 for s. 3 Solve 4*s + 3*w + 12 - 1 = 0, -3*s = -2*w - 13 for s. 1 Solve 4*r = -2*z + 2, z - r = 3*r - 5 for z. -1 Solve -5*h = p - 6, 0 = 4*h - 5*p + 4 - 3 for h. 1 Solve -s - 4*s = -2*x, -2*x - 3*s = 0 for x. 0 Solve 0*o - 9 = -3*m + 3*o, 5*m - 9 = 3*o for m. 0 Solve -4*u = -7*t - 36, 0*u = 4*t + 3*u + 10 for t. -4 Solve 0 = 4*p - 3*r - 24, -4*r - 28 = -2*p - 2*p for p. 3 Solve y = 6*u - 33, -3*y + 21 = 2*u - 0 for y. 3 Solve -34*x + 30*x - g = 16, 5*g + 5 = 5*x for x. -3 Solve 3*s - 5*v - 14 = -5, 3*s - 9 = -v for s. 3 Solve 4*z - 58 = 5*n - 18, 5*n + 30 = 2*z for n. -4 Solve 2*f + 10 = -2*k, 22 + 3 = -5*k for f. 0 Solve -5*d + 3*w - 32 = 0, -3*d - 2*w = -8*d - 28 for d. -4 Solve -f + 2 = 4*t - 2, -3*t = -5*f + 20 for t. 0 Solve 0 = s - 5*s + 8, -3*g = -3*s + 9 for g. -1 Solve -5*h + 6 = -2*g + 4*g, 2*g - 3*h = 6 for g. 3 Solve 3*k - 6*k + 5*c - 3 = 0, -k + 13 = 3*c for k. 4 Solve 0 = 4*v - y + 11, 2*v + 3*y = 5 - 0 for v. -2 Solve -4*y - h - 20 = 0, y + 787 = -2*h + 782 for y. -5 Solve -j + 15 = 3*a - 6*j, -3*a + 2*j + 15 = 0 for a. 5 Solve 5*x + 16 = x - 3*d, 0 = 4*d for x. -4 Solve -5*l + 2*w + 8 = 0, 3*w = -6*l + 5*l + 5 for l. 2 Solve -8 = 4*d, -5*r + 2*d = -d + 19 for r. -5 Solve -f - 4 = 4*v, 0 = 3*f - 4*v + 12 for f. -4 Solve 5*z - 2*d = 26, 0 = -4*z - 0*d - 5*d + 1 for z. 4 Solve -a = -2*m - 11, 3*m - 5 - 11 = -5*a for m. -3 Solve 12*v - 17*v + 2*m = 3, 0 = -3*v + 5*m - 17 for v. 1 Solve 2*h + 5 = 5*d, -4*d - 72*h + 68*h = 24 for d. -1 Solve -3*t = 36*i - 35*i - 11, 0 = 2*i + t - 2 for i. -1 Solve -4*t - 5*u + 10*u + 28 = 0, 0 = -t - u - 2 for t. 2 Solve 4*n = -4*d + 28, -4*n = 4*d - 6*d - 16 for n. 5 Solve -3*a - 2*o - 19 = -8*a, -3*o = -4*a + 11 for a. 5 Solve -p + 14*y = 13*y + 5, -5*y = 5*p - 25 for p. 0 Solve u - 3*f = -2*u, 0 = -3*u - 4*f + 35 for u. 5 Solve 50*n - 48*n = -5*k - 3, 3*k = -3*n for k. -1 Solve 5*b - 5 = 4*b - r, 3*r = 3*b - 9 for b. 4 Solve 0 = 5*n + 27*y - 25*y - 1, 3*n - 1 = -y for n. 1 Solve -h = -3*r - 9, 2*h + 0*r + 4*r = -12 for h. 0 Solve -4*v - 24 = -4*f, -5*f = -6 - 4 for v. -4 Solve -2*u = -4*t + 6, -58*t + 55*t + 27 = 3*u for t. 4 Solve 0 = -3*i - 4*m - 17, 2*i + 6 = -4*m - 12 for i. 1 Solve 0 = -4*t - 3*o - 14, t = -8*o + 7*o - 3 for t. -5 Solve -40*o - 3*g = -43*o - 21, -4*o - 1 = 5*g for o. -4 Solve -3*q + 3*h + 11 = 2, 3*q + 5*h - 17 = 0 for q. 4 Solve 4*j + 1 = o - 0*j, -4*o - 3*j - 15 = 0 for o. -3 Solve 2*s = 3*a - 13, -s - a - 2 = 2 for s. -5 Solve -4*w = 5*l + 21, 5*l - 5*w - 15 = -0*w for l. -1 Solve -10 = 4*z + 2*y, -4*z = -2*z + 4*y - 4 for z. -4 Solve 5*s - 4 = -3*d, -d + 0 = 5*s - 8 for d. -2 Solve -10*p - 10 = -9*p - 2*i, 4*p - 20 = -4*i for p. 0 Solve 4*f = 4*l - l, -f = -4*l for l. 0 Solve -4*d = -0*o + 3*o - 22, -2*o + 3*d = 8 for o. 2 Solve 17*x + 6 = 12*x - 4*z, 0 = -2*x + 2*z - 6 for x. -2 Solve 0 = 4*b + 3*f - 8*f - 16, 3*f + 12 = 0 for b. -1 Solve c - t - 6 = 0, 0 = -11*c + 13*c - 3*t - 14 for c. 4 Solve -5*k + b = 38, -2*k - 11 = -4*b + 5*b for k. -7 Solve -5*c + 15 = -5*i, -7 + 5 = -i for c. 5 Solve q = -y + 1, 2*q = -2*q + 3*y + 32 for q. 5 Solve 4*w - 13 = k, 254*w = 256*w + 2*k + 6 for w. 2 Solve 5*y - 5*w = 30, y + 3 = -w + 7 for y. 5 Solve 2*f - 2*x - 4 = 3*f, f + x = -4 for f. -4 Solve 2*b + 11 = 3*r, 11*r - b = 6*r + 23 for r. 5 Solve -8*b = -3*z - 3*b + 21, 7 = 5*z + b for z. 2 Solve -w + 5*w - o + 8 = 0, -2*w = o - 2 for w. -1 Solve -v + 20 = -5*a, 4*a = 4*v - 18 - 14 for a. -3 Solve w = 4*k - 2, -8 = -3*w - 4*k + 2 for w. 2 Solve 2*d - z = 7*d + 20, 20 = -3*d + z for d. -5 Solve -8*h + 6*o = 11*o - 9, -2*h + o = 9 for h. -2 Solve 4*v + 3*j - 5 - 2 = 0, -5*j = 3*v - 8 for v. 1 Solve -m + 7 - 3 = -5*p, 4*p - m = -3 for p. -1 Solve 6 = -2*x, 4 = 3*i + 2*x + 7 for i. 1 Solve -4*r - 116*w = -118*w + 12, 0 = -r + 4*w - 3 for r. -3 Solve -5*y = 7*a - 3*a + 24, 3*a = -3*y - 15 for y. -4 Solve -w - 8 = -5*n + 4, w - 6 = -n for w. 3 Solve -3*a + 11 = -5*z, 0 = 5*a + 104*z - 107*z + 3 for a. -3 Solve 0 = -4*s + 6 + 14, -2*p - s + 5 = 0 for p. 0 Solve -3*f - 3*x = -12, 3*f - 5*x = -3 - 1 for f. 2 Solve 0 = 5*i + 5*m, 0 = 4*i - 63*m + 60*m - 35 for i. 5 Solve 0 = -3*m + 2*k + 17, -m + 1 = 4*k - 0 for m. 5 Solve 4*m + 12 = -2*q - 0, 4*m - q + 6 = 0 for m. -2 Solve 3*t - 6 = o + 5, 0 = -3*o + 3*t - 21 for o. -5 Solve -4*h = -4*y + 36, -4*h = 15*y - 13*y - 12 for h. -1 Solve -23*v + 2 = -21*v + 3*d, -2*v - 4*d = -2 for v. 1 Solve 5*r = 5*v - 5, -4*v + 2*v = 3*r - 22 for v. 5 Solve -3*d + 7*d - 5*o - 19 = 0, -2*o - 8 = -2*d for d. 1 Solve 4*m - 3 = -v, 0 = -4*v - 5*m - 4 + 16 for v. 3 Solve 0*t - 3*t - 4*s = -20, -3*s + 15 = -3*t for t. 0 Solve p + z - 21 = -2*p, -4*p = -3*z - 15 for p. 6 Solve 0 = 2*u - 6*y + 22, u + 3*y - 3 - 10 = 0 for u. 1 Solve 5*j + 6 = 4*i, 3 - 11 = -4*j for i. 4 Solve q + 19*j - 23*j - 7 = 0, 3*j + 12 = 3*q for q. 3 Solve 0*b + f = b + 2, 10 = 3*b + 5*f for b. 0 Solve 2*m - b = 13, 2*m = -0*m + 4*b + 22 for m. 5 Solve 0 = -5*y - 4*k + 4, 2*k - 2 = -3*y - y for y. 0 Solve 5*r - 11 = 2*d, 20*d = 5*r + 23*d + 4 for r. 1 Solve 0*g + 5*g = -i + 15, -g + 2*i + 14 = 0 for g. 4 Solve -4*s = 4*y - 24, y + 0*y + 4*s - 18 = 0 for y. 2 Solve -2*r + s - 8 = 0, r - s = -5*s - 13 for r. -5 Solve 5*q + y - 51 = -28, 5*y = -2*q + 23 for q. 4 Solve -3*p = 5*o + 13, -2*p + 4*p + o + 4 = 0 for p. -1 Solve 5*p = 6*p - 5, -5*m = 2*p - 35 for m. 5 Solve u - j + 9 = 4, -2*j + 7 = -u for u. -3 Solve 3*l + 3*z = 9, -l + 3*l - 2 = 2*z for l. 2 Solve 0*b + i = 3*b + 7, -4*i = 3*b + 2 for b. -2 Solve -5*l = -4*c + 25, 4*l + 42*c - 46*c = -24 for l. -1 Solve 4*k - 1 = 172*w - 171*w, k = 1 for w. 3 Solve h - 5 = 42*d - 41*d, -2*h + 5*d = -10 for h. 5 Solve 5*f - 4 = -4*l + 7*f, -3*l - 9*f = -24 for l. 2 Solve -3*b + 3*i = -3, 0 = -2*b - i + 4*i + 2 for b. 1 Solve 3*k + 8 = -4*z, 26*z = 31*z - 2*k + 10 for z. -2 Solve 2*q - 4*q - 4*p - 2 = 0, 4*p + 22 = 2*q for q. 5 Solve -3 = -3*z - 3*y, 6 + 1 = -5*z - 2*y for z. -3 Solve -4*m - 16 = w, -2*m - 4*w - w = -10 for m. -5 Solve 0 = -4*l + n - 17, -4*l - 4*n = -n + 29 for l. -5 Solve -4*r = -2*h + 16, 2*r = 3*r + 4 for h. 0 Solve 0*x + 4*x + u + 18 = 0, -3*u - 6 = 0 for x. -4 Solve 2*q - 3 = -5*x, 0 = 2*x - 0*x + q - 2 for x. -1 Solve 3*p - 3*u - 21 = 0, 0 = -5*u - 2 - 8 for p. 5 Solve 0 = u - w + 1, 3*w + 0*w - 13 = -2*u for u. 2 Solve 0 = 5*y - 2*s + 6 + 11, 4*s - 13 = 3*y for y. -3 Solve n - c = 0, -3*c = 5*n - 28 + 4 for n. 3 Solve -4*s + l - 21 = 0, -4*s - 4*l + 16 = -3*s for s. -4 Solve -i + 10 = 4*a, 0 = 6*a - a + 4*i - 18 for a. 2 Solve 0 = -2*y + 9*b - 8*b - 10, b + 20 = -4*y for y. -5 Solve -2*j - 6 = 2*x
{ "pile_set_name": "DM Mathematics" }
. 5, p, 0 Let h = 4 - 4. Sort h, 4, 1. h, 1, 4 Let m be 6/(-4)*(-48)/(-36). Put 5, -5, m in decreasing order. 5, m, -5 Let z = -0.8 + 0.83. Let h = 30.63 + -31. Let j = h - z. Sort j, 1/2, -4/7 in descending order. 1/2, j, -4/7 Let v = -20 + 16. Sort -2, -3, v. v, -3, -2 Let n = -487/735 + -1/245. Let r be 6/4*(-8)/6. Put r, 1/7, n in decreasing order. 1/7, n, r Let l(w) = -w + 4. Let k be l(0). Suppose k = b - 0. Put 2, 0, b in decreasing order. b, 2, 0 Suppose -4*w - 4 + 20 = 0. Sort 6, w, 3. 3, w, 6 Let c = -1 - 3. Sort c, -2/5, 4. c, -2/5, 4 Let z be 4/6 - (-2)/6. Put 5, z, -4 in increasing order. -4, z, 5 Suppose -2*r + 28 = -2*u + 3*r, -3*u - r - 8 = 0. Sort 2, u, -9, -1 in increasing order. -9, u, -1, 2 Suppose 2*q + 5*f = 6, -4*q - 2*f - 3*f = -2. Suppose 4*z - 21 = -5. Suppose -5*t + z = -2*h + 1, -3*t - 1 = -4*h. Sort -1, h, q in increasing order. q, -1, h Let d = -153/172 - -6/43. Sort d, -2/9, 1, 1/2 in increasing order. d, -2/9, 1/2, 1 Let q = 7 - 6.4. Let o = -0.9 + q. Sort o, -5, -3/8 in decreasing order. o, -3/8, -5 Let n = -70 + 561/8. Let u = 51/130 - 5/26. Sort u, -3, n in increasing order. -3, n, u Let p be (9 + -9)*(-3)/(-9). Let l(t) be the second derivative of t**4/12 - t**3/3 - 3*t**2/2 + t. Let o be l(-2). Sort p, o, -4 in decreasing order. o, p, -4 Let c(m) = -m**3 + 6*m**2 + m - 2. Let h be c(6). Put 3, h, -1, -5 in descending order. h, 3, -1, -5 Suppose -4*w + 2*w + b = -115, -68 = -w + 4*b. Let d be 48/w*2/18. Put 2, d, -2/5 in decreasing order. 2, d, -2/5 Let t(b) = -b**3 - 5*b**2 + 4*b - 7. Let l be t(-6). Sort 3, l, 4. 3, 4, l Let l be 0 - -9 - (1 + 2). Sort l, 0, 2. 0, 2, l Let d = 3.2 + -3. Let c = 65 + -44. Let y be 33/c + (3 - 4). Put d, y, 0.3 in decreasing order. y, 0.3, d Suppose 5*d - d = -5*m + 37, 24 = 3*d + 5*m. Sort 5, d, 1 in descending order. d, 5, 1 Let q = 156 + -145. Put q, 3, 4 in increasing order. 3, 4, q Let c be 1 + 4 + 1 + -3. Suppose -c*b = -b - 2. Suppose 3*s - 12 = -u, 6 = 3*u - s + 20. Sort -4, u, b in ascending order. -4, u, b Let n = -1.05 - -1.35. Put 4, n, 1/2, 1 in decreasing order. 4, 1, 1/2, n Let m = -31 + 34. Sort -9, -2, m. -9, -2, m Let o be (2 - 3)/(5/65). Let q = 10 + o. Sort 4, q, 5 in descending order. 5, 4, q Let x = 4.77 - -0.23. Sort x, 2, 1/11 in decreasing order. x, 2, 1/11 Suppose -3*w + 4*b + 22 = 0, -w + 7*b + 18 = 3*b. Sort -2, 3, -5, w in descending order. 3, w, -2, -5 Let m be 3*(-2 - 2/(-6)). Let x be ((0 - 0) + 2)/(-1). Let z be 2/((x - -3)/(-2)). Sort z, 2, m. m, z, 2 Suppose 108*u = 103*u + 15. Put -4, u, 0 in descending order. u, 0, -4 Let s(m) = -m**2 + 6*m - 1. Let k be s(6). Sort k, 5, -9 in descending order. 5, k, -9 Let q = 8 + 4. Sort 5, q, -1 in increasing order. -1, 5, q Let y(o) = o. Let a be y(-2). Sort -6, a, -4 in ascending order. -6, -4, a Let s be ((-10)/(-25))/(1/(-15)). Put s, -5, 2, 1 in descending order. 2, 1, -5, s Let l(k) = k**2 + k + 1. Let x(f) = -f**3 + f**2 - 2*f. Let w(b) = l(b) + x(b). Let n be w(2). Let m be ((-8)/2)/(-1 + 0). Put 0, n, m in descending order. m, 0, n Suppose 0 = -3*n, 3*d = -d - 3*n + 48. Put -3, -2, 0, d in descending order. d, 0, -2, -3 Let d = -36 + 30.8. Let z = 0.2 + d. Suppose 3*f = -1 + 7. Put f, 0, z in descending order. f, 0, z Suppose -2*k = -3*r - 2 + 4, 2*k = -5*r - 18. Let s = -21 + 13. Let u = -5 - s. Sort 0, u, r. r, 0, u Suppose -4*w = 2*d + 18, -5*w + 5*d + 4 = 34. Let x(a) = -8*a**2 - 3*a + 2. Let l be x(-1). Sort w, -2, l. w, l, -2 Let m = 40/19 - 642/323. Put 1, -2/5, 0.03, m in descending order. 1, m, 0.03, -2/5 Let z = 2 - 2. Suppose -4*w + 6 - 3 = 5*f, -3*f = 3*w. Let i = z + w. Sort 2, 3, i in decreasing order. 3, 2, i Let t(g) = g**3 - 5*g**2 - 6*g - 2. Let s be t(6). Let w be (5/30)/(s/(-8)). Put -13, -2, w in decreasing order. w, -2, -13 Let h be (1/(-5))/(8/(-10)). Let i = 7.3 - 7. Let q = i + -0.7. Sort -4, h, q in descending order. h, q, -4 Let g(r) = 2*r**2 + 2*r - 1. Let a be g(-2). Suppose a*m = m. Sort 2, 5, m in descending order. 5, 2, m Let l be (2/(-3))/(1/(-3)). Suppose -15 = 135*x - 132*x. Sort x, l, -4 in ascending order. x, -4, l Let v = -53.05 + 51. Let y = 0.05 + v. Let t = 4 + -9. Sort y, -0.3, t. t, y, -0.3 Let d = 33 + 17. Let l = 205/4 - d. Sort l, -2, 3 in ascending order. -2, l, 3 Let t(g) = 3*g**2 + 2 + 3*g - 1 - 4*g**2 + 0. Let h be t(3). Let n be -2 - (8/(-1) + 1). Put n, -4, h in decreasing order. n, h, -4 Suppose 4*g - 3*g = -2*g. Let r(y) = -y - 8. Let f be r(-4). Sort 3, g, f. f, g, 3 Suppose 0 = k - 2*b + 1, -k - 2*k = -3*b + 3. Sort -12, k, 4 in ascending order. -12, k, 4 Let v be 1/(-4) - 21/(-4). Suppose -v*u = 0, -2*k + 2 = -0*k + 2*u. Let t = 6 + -4. Sort t, -2, k in descending order. t, k, -2 Let g(q) = q**2 - 2*q - 3. Let n be g(-2). Suppose 2 = -n*h - 8. Sort -3, 3, h in descending order. 3, h, -3 Let j = -1.081 - -0.081. Put -2/11, j, -3 in decreasing order. -2/11, j, -3 Let p(a) = -5*a. Let s be (-10)/(-8) - 1/4. Let j be p(s). Let h be 2*-2 - (0 - 0). Sort h, 1, j in ascending order. j, h, 1 Suppose -2*v + 4*f + 20 = v, 1 = f. Let z = v + 0. Put -5, z, 0 in ascending order. -5, 0, z Suppose 0 = p - 2 + 1. Let q = -0.79 - -0.49. Put q, 4, p in increasing order. q, p, 4 Suppose 0 = 2*i - i - 4. Put 1, -2, i in ascending order. -2, 1, i Let a(s) be the second derivative of 4/3*s**3 + 3*s**2 + 1/12*s**4 + s + 0. Let x be a(-7). Put 0, x, 3 in ascending order. x, 0, 3 Let f = 146 + -727/5. Sort -0.2, -8/7, f in ascending order. -8/7, -0.2, f Let l = -39 - -34. Put l, -1, 10 in increasing order. l, -1, 10 Let l = 10 + -5. Suppose l*b - 4*v - 12 = 28, -b = 3*v + 11. Suppose -b*t + 25 = t. Sort -4, t, 1 in decreasing order. t, 1, -4 Let x = 1.6 - 2. Sort -5, x, 1, 1/2 in descending order. 1, 1/2, x, -5 Let m = -3 + 8. Let q = m + -5.1. Let t = 0.4 - q. Sort 5, t, 0.4 in increasing order. 0.4, t, 5 Let m = 246/5 - 49. Let q = -1.6 - -1. Let p = q + 0.4. Put m, p, -1 in descending order. m, p, -1 Let w = 0.3 + 0.1. Suppose -2*n - 5*f - 95 = -7*n, 3*n + 4*f = 36. Suppose -8*c + n = -4*c. Sort w, -2/13, c. -2/13, w, c Suppose 0 = -2*q + 5*x - 0 + 5, -5*q - 5*x = 5. Sort -2, 4, q, 5 in descending order. 5, 4, q, -2 Let r be ((-4)/6*3)/(-1). Sort -4, 1, r in decreasing order. r, 1, -4 Let z = -0.14 - -0.34. Put z, -3, 1/3, -2 in ascending order. -3, -2, z, 1/3 Let l be (4/6)/(4/(-12)). Suppose -17*z + 4 = -18*z. Put z, 2, l in increasing order. z, l, 2 Let j = -36 - -40. Suppose -2*b = 3*a - 33, 2*b - 12 = -a + b. Suppose -2*i = -c + 9, 2*i = -j*c - a - 5. Sort i, -2, 5. i, -2, 5 Let b(s) = s**2 - 7*s - 5. Let z be b(7). Let n be (4/(-5))/((-4)/70). Let g be (-10)/n + 6/(-21). Put -5/6, g, z in increasing order. z, g, -5/6 Suppose 0 = 2*y - 3*y - 3. Suppose -13 = 5*x + k, -4*x - 2*k - 3 = 11. Put 4, x, y in ascending order. y, x, 4 Let r(c) = c**2 + 7*c + 6. Let t be r(-6). Suppose 0*s = 5*s - 25. Let x be (0 + -3)*4/(-3). Sort t, x, s. t, x, s Let d = 26.5 + -26. Put -2/3, 0.22, d in descending order. d, 0.22, -2/3 Let r be ((-3)/(-9))/(-1 - -2). Let i = 0.04 - 13.04. Let b = -8 - i. Put -4, b, r in ascending order. -4, r, b Let t = 226/7 + -32. Let q = 3.5 - -0.3. Let d = q + -4. Sort 0, d, t in ascending order. d, 0, t Let k = 0.8 - 0.3. Sort -0.1, k, -1/8 in decreasing order. k, -0.1, -1/8 Let y(t) = -t**3 + t**2 + 2*t - 2. Let o be y(0). Sort 3, 0, o in decreasing order. 3, 0, o Suppose -4*t = 3*x + 3, -4*x + 3*t - 5 = -1. Put 0.1, -4, x in ascending order. -4, x, 0.1 Let b be -2 + (-3 - 2*-1). Let p(i) = -i**2 + 9*i - 6. Let t be p(7). Let g = t - 3. Sort g, 0, b in descending order. g, 0, b Let y = 5 - 3. Let d be ((-1)/y)/(2/(-4)). Let z(t) = t - 13. Let n be z(10). Put -2, n, d in ascending order. n, -2, d Let p be 16/56 - 38/(-14). Suppose 7 = -5*b - p. Put b, 4, -3 in descending order. 4, b, -3 Let d = 3 + -5/2. Sort 1, 4, d in decreasing order. 4, 1, d Let l = 35 - 35. Let n(a) = a + 1. Let d be n(0). Suppose -5*u - 6 = b, -2*u = 5 - d. Sort -1, b, l in increasing order. -1, l, b Let r be 14/(-6)*(-90)/10. Put -3, 3, r in descending order. r, 3, -3 Let b = -8 - -6. Let s = -3 - b. Let w = -0.05 + -2.95. Sort -4, s, w in decreasing order. s, w, -4 Suppose 4*l - 7*l = -15. Put -1, l, 3 in ascending order. -1, 3, l Let f = -2 - -2.01. Let s = f
{ "pile_set_name": "DM Mathematics" }
? False Which is bigger: 44 or -229? 44 Do 3367 and 543 have the same value? False Which is smaller: -15982 or -495398/31? -15982 Which is greater: -4/45 or -5039? -4/45 Which is smaller: 285504/83 or 3441? 285504/83 Which is smaller: -7/153 or 380? -7/153 Does 1383685 = 1383686? False Are 816 and 7503 unequal? True Is 1 bigger than 2/454257? True Which is bigger: 495 or 360? 495 Is -25248 <= -25262? False Is 3189/167 greater than or equal to 20? False Are -1 and -1/939455 non-equal? True Which is bigger: -1 or 2/16064491? 2/16064491 Does 47 = 647/5? False Which is greater: -6/136379 or 1? 1 Which is smaller: -3368 or -56? -3368 Which is smaller: 1557 or 17128/11? 1557 Do -4107 and -319 have the same value? False Which is greater: -2382.7 or 7/5? 7/5 Is -820456 greater than -820457? True Is -942 less than -718? True Which is bigger: -18138 or 1? 1 Which is smaller: 1 or -3/10699? -3/10699 Is 685852 less than or equal to 685852? True Which is greater: 5106/1349 or 4? 4 Which is smaller: -6110/709 or -3? -6110/709 Which is greater: -30/329497 or -1? -30/329497 Is 1/3 bigger than 0.74672? False Which is smaller: 80322/23 or 3491? 3491 Is 29/226612 less than 0? False Are -1938 and -1938 equal? True Is 6/49 at most -8970? False Which is bigger: 1227 or 1617? 1617 Is -26212 > -6? False Is 10/71 less than -2/19? False Which is greater: -2324 or -2325? -2324 Is -2/11 less than 15540.9? True Which is bigger: -47/19854 or 0? 0 Which is smaller: -0.2612 or 2736? -0.2612 Which is smaller: 359080 or 1077244/3? 359080 Which is smaller: -1 or 2/1484613? -1 Which is smaller: -451 or 297? -451 Is 74/3271 at most as big as 0? False Are -31 and -9408/307 equal? False Is 32532 at most 32532? True Is -27/2777 bigger than 1? False Which is greater: -753201 or -753197? -753197 Is -1 greater than 1/40005? False Which is greater: -810782 or -810776? -810776 Is 3161/103 smaller than 31? True Which is greater: 30/271379 or -1? 30/271379 Which is smaller: -1737/62 or -28? -1737/62 Which is smaller: -1 or -1652/2229? -1 Which is bigger: -690 or -56? -56 Is -1625 less than -14626/9? False Which is smaller: -0.004 or -1/36? -1/36 Which is bigger: -386 or 255? 255 Which is smaller: 5/1089 or -1? -1 Which is bigger: 16790 or 16808? 16808 Which is smaller: -450590 or -450588? -450590 Which is smaller: -139330/7 or -19903? -139330/7 Do -8655/8 and -1083 have different values? True Which is bigger: 141/122 or 2? 2 Is -14 greater than -1114/81? False Is 1 at least as big as -97/938? True Which is greater: -24473 or 2? 2 Which is bigger: -3/272186 or -1? -3/272186 Is -37547 <= -488110/13? True Are -35984 and -35984 unequal? False Which is smaller: -6/292081 or 1? -6/292081 Which is greater: -7469 or -37349/5? -7469 Which is bigger: -10530/167 or -62? -62 Which is smaller: 1064 or 1066? 1064 Is 6/4835 greater than 0? True Is -313234 at most 1/2? True Which is smaller: 0 or -12/63571? -12/63571 Which is greater: -12460 or -24921/2? -12460 Which is greater: 3045628 or 3045625? 3045628 Which is bigger: 2 or 50/128053? 2 Which is greater: 97/3350 or 1/15? 1/15 Is -17603 less than or equal to 0.23? True Is 1899 greater than 1.9? True Is 11252 less than -2/3? False Is 25357/10 < 0.1? False Is -4021/1331 at most as big as -2? True Is -12/13 less than -364? False Is 1/32068 < 1? True Which is smaller: 3699 or 750? 750 Which is smaller: 0.1 or 708608? 0.1 Which is bigger: 1/2 or 35441? 35441 Is 10782/581 equal to 18? False Which is smaller: 1 or -2/7312459? -2/7312459 Does -533/6 = -0.132? False Is 178545 > 178544? True Is -0.1 equal to -53087? False Which is bigger: 156414 or 156416? 156416 Is 169/29232 greater than 0? True Which is smaller: 1/598706 or 0? 0 Is -28846/219 < -133? False Is 2967016 < 2967017? True Is 1 != -54/6253? True Which is smaller: -4152 or -4252? -4252 Is 8/341775 at most as big as 0? False Is 3314 less than or equal to -188? False Is 36 smaller than 0.0048? False Which is smaller: 1/56857 or 0? 0 Is 43454 greater than or equal to 43454? True Is -23 at most as big as -42990? False Do 1/429 and 693 have different values? True Which is smaller: 1842 or 0.921? 0.921 Do 221333 and 221332 have different values? True Is 67968 bigger than 67924? True Which is greater: -275.84 or 0.2? 0.2 Which is greater: -38 or 1398? 1398 Which is smaller: 1/1713358 or -1? -1 Which is smaller: 7339255 or 7339254? 7339254 Is -699 bigger than -114? False Is -570030 at most -570027? True Are -92.36 and 1/8 non-equal? True Which is smaller: -17126 or -53? -17126 Is -29422 equal to -29425? False Are 10 and 2/21263 non-equal? True Which is greater: -1 or 2/281409? 2/281409 Which is bigger: -658 or -9889/15? -658 Is -136 equal to -5568/41? False Which is bigger: 290437 or 2033055/7? 290437 Are -52 and -2281 non-equal? True Which is smaller: 0 or 402/17059? 0 Which is greater: -1 or 59/248? 59/248 Is 25862 bigger than 25871? False Which is bigger: 16070 or 16066? 16070 Which is smaller: -1036002 or -1036003? -1036003 Which is smaller: -15126 or -15130? -15130 Which is bigger: -65203 or -10? -10 Which is smaller: 53415 or 53411? 53411 Are -12 and -7454 equal? False Is 1140 bigger than 1171? False Which is greater: 236 or 213? 236 Which is smaller: 0 or 15/7771? 0 Which is bigger: -19588 or -19631? -19588 Which is smaller: 1179596 or 1179594? 1179594 Is 64 less than 3928/61? True Is 22950 less than or equal to 22950? True Which is greater: -43/182 or 0? 0 Is 56499 bigger than 56498? True Is -15 not equal to -567? True Which is smaller: -46353 or -46361? -46361 Which is bigger: 10039 or 10038? 10039 Is -1375 != 49? True Are 35 and -2564 non-equal? True Is -1 at least -157/5513? False Which is greater: -36 or -72? -36 Is -170 bigger than -166? False Which is smaller: 1 or 12/920077? 12/920077 Is -1 not equal to 7/344297? True Which is bigger: -2316529 or -2316530? -2316529 Which is smaller: -9/217 or -15? -15 Is 124124 > 2? True Is -24586 at least -24416? False Which is bigger: -3 or 757/8? 757/8 Is 7522 greater than or equal to 127893/17? False Which is smaller: 2522/1421 or 2? 2522/1421 Which is smaller: 5284 or 5248? 5248 Is 7058/35 > 202? False Is 536663 bigger than 9? True Which is bigger: 5953 or 9? 5953 Which is smaller: 22 or 6/2039? 6/2039 Which is smaller: -338 or -26760/79? -26760/79 Which is bigger: -53 or -12861? -53 Which is greater: 24316 or 24298? 24316 Is 0.6 bigger than 0.0296? True Which is bigger: 31341 or 31354? 31354 Is 32233 equal to 32236? False Which is bigger: -1237 or 20/7? 20/7 Is 1/3 < 283576? True Which is bigger: -328360 or -328363? -328360 Are 18/3089 and -0.09 non-equal? True Which is smaller: -33907 or -33904? -33907 Are 15078 and 15076 non-equal? True Is 0 less than or equal to 1899.79? True Is -96894 less than -5? True Are 9377 and 9388 unequal? True Is -0.7432 <= 7? True Is -12496 not equal to -12768? True Do -224007 and -224007 have the same value? True Which is smaller: 107847 or 107853? 107847 Is 24.1 at least as big as 0.17? True Is -5374 smaller than -5345? True Which is bigger: -34048 or -34049? -34048 Is 76 greater than -1508? True Are -8437 and -8104 equal? False Is -15740/31 <= -509? False Is -385554 less than or equal to -385564? False Does 8 = -2115? False Is -3078 greater than -514? False Which is smaller: -457 or 0.033? -457 Is 152081/4 greater than 38019? True Are -88710 and 0 unequal? True Is 1856 not equal to 1851? True Which is greater: 0.2 or -28731.7? 0.2 Which is smaller: -29829 or -29832? -29832 Is -4924377 at least as big as -1/2? False Is -3/328 at most as big as 1? True Which is bigger: 76549 or 76548? 76549 Is 650840 < 650832? False Which is smaller: -1 or 201159? -1 Is 28351 < 28340? False Which is smaller: 435/1786 or 1? 435/1786 Are -0.05 and -34/2111 equal? False Which is smaller: 59/5480 or 2/3? 59/5480 Are -1 and 49/121907 nonequal? True Which is bigger: -194/393 or 1/2? 1/2 Do -17712 and -17713 have different values? True Is 113124 greater than 113123? True Which is greater: -6/80741 or 0? 0 Is -0.09033 < -8? False Which is smaller: -40789 or -40784? -40789 Which is smaller: 585 or 49? 49 Is 245758 < 245759? True Which is smaller: 18041 or 18043? 18041 Which is bigger: 2/539 or -70? 2/539 Is 381/25 at least 0.88? True Which is gr
{ "pile_set_name": "DM Mathematics" }
s the units digit of a? 7 What is the hundreds digit of -2 - ((-1684)/(-5)*-4)/(15/75)? 7 Let g(p) be the third derivative of 53*p**5/60 + p**4/6 - 9*p**3/2 - 151*p**2. What is the tens digit of g(4)? 3 Suppose 6*c - 12 = 3*o + 2*c, 0 = 2*o - 2*c + 6. Let w(s) = 2*s**3 + 57*s - 58*s + s**2 + 107 - s**3. What is the units digit of w(o)? 7 Let g(q) = -133*q - 164*q + 401*q + 24. What is the tens digit of g(4)? 4 What is the hundreds digit of (32848/6 + 1)*(4 + 3 + -4)? 4 Let a = -18 - 2. Let d(n) = 2*n**2 + 15*n - 33. What is the hundreds digit of d(a)? 4 Let y(h) = -82*h**3 - 6*h**2 - 16*h - 86. What is the thousands digit of y(-5)? 0 Suppose -g + 1 = -3*q - 9, -5*g + 5 = 0. Let l be (1 + 113/q)*(-12)/10. Suppose l = x - 0*b - b, 174 = 4*x - 5*b. What is the units digit of x? 6 Let b(m) = -m + 10. Let i be b(8). Suppose i*w - 4 = -4. Suppose 4*g - 5*o - 360 = -w*o, -3*g + 293 = 2*o. What is the units digit of g? 5 Let c be ((-18326)/(-33))/14 + 4/(-6). Suppose -23*f + 53196 = c*f. What is the tens digit of f? 5 Let v(s) = s**3 + 16*s**2 + 16*s + 21. Let d be v(-15). Let i be 98 - ((-2)/(-6))/((-1)/d). Let t = i - 89. What is the units digit of t? 1 Let a(k) = 13*k**2 + 13*k - 32. Let p be ((-10)/3)/((-110)/132). What is the tens digit of a(p)? 2 Let z(f) = f**3 + 41*f**2 + 30*f - 10. Let c be z(-21). Suppose -10*b + c = -2090. What is the units digit of b? 7 Let r be -3 - (-6 + 6/2). Let m(b) be the first derivative of -b**2/2 + 62*b - 5. What is the units digit of m(r)? 2 Let v(s) = -s**2 - 13*s + 15. Let p = -27 + 63. Suppose 4*h + 4 = -p. What is the units digit of v(h)? 5 Let v = 2370 + -767. Suppose -4*d + 2*t = -2926, 0 = 5*d + 5*t - v - 2032. What is the units digit of d? 0 Let q be (6/(-1) + 2)*2. Let h be (30/q)/(-3) - 9/(-12). What is the units digit of h/5 + 78/5? 6 Let v(x) = -x**3 - 33*x**2 - 30*x + 68. Let m be v(-32). Suppose m*a + 1027 - 2563 = 0. What is the units digit of a? 4 Let o(m) = 709*m - 3151. What is the tens digit of o(44)? 4 Let t(k) be the first derivative of -7*k**6/60 + k**4/6 + k**3/6 + 5*k**2 + 21. Let m(g) be the second derivative of t(g). What is the hundreds digit of m(-2)? 1 Suppose 0 = k - 174 + 6. Suppose 5*g = 13*g - k. What is the units digit of g? 1 Let p(o) be the third derivative of o**5/20 - 3*o**4/4 + 16*o**3/3 + 8*o**2 + 7. What is the hundreds digit of p(17)? 5 Suppose 13*g - 9*g + o + 4564 = 0, -4*g + o - 4564 = 0. Let b = -313 - g. What is the units digit of b? 8 Let q be -4 + 4/(-2) + 4. Let r be (q/(-3))/(16/72). Suppose r*h - 558 = -4*j, 5*h - 3*j - 939 = -9. What is the tens digit of h? 8 Let v(r) be the first derivative of -84*r**4 - 2*r**3/3 - r**2/2 + 91. What is the hundreds digit of v(-1)? 3 Let a(y) = -13683*y - 928. What is the thousands digit of a(-3)? 0 Let m be (-11 - -3)*2/(-8). What is the units digit of 866/m - (-12)/(-2)? 7 Let k(d) = 90*d - 27. Let b be k(-3). Let s = b + 426. What is the hundreds digit of s? 1 Let t(d) = -26 + 5 - 54 - 50 + 28*d. What is the tens digit of t(13)? 3 Let f(w) = -23*w - 7. Let v be f(-12). Let y = 798 - v. What is the units digit of y? 9 Let y be ((-329)/2)/(-7)*4/2. Let z(d) = 49 - 50*d - y*d + 103*d. What is the units digit of z(-6)? 3 Suppose 0 = -14*c + 8*c + 30. Suppose 5*j - 25 = p, -c*p = 2*j - 0*j + 17. Suppose j*u = -2*q + 266, 4*u + 3*q + 79 = 340. What is the tens digit of u? 6 Suppose d + 3*s = -136 - 24, 5*s = -3*d - 464. Let l = 78 + d. Let p = 16 - l. What is the units digit of p? 6 Let p(d) = d**3 - 3*d**2 - 2*d - 8. Let n be p(4). Suppose t = -n*t + 2. What is the tens digit of 57 + 0 - (-5 - (-12)/t)? 5 Let c = 13 + -7. Suppose c*g - 740 - 442 = 0. What is the units digit of g? 7 Let g(u) = -u**2 - 10*u + 79. Let v be g(-15). Suppose -15 = 4*q - 3, 0 = z + v*q - 671. What is the tens digit of z? 8 Suppose 8*t = 10*t + 34. Let q(w) = -w**3 - 18*w**2 - 25*w - 58. What is the units digit of q(t)? 8 Suppose 5*a - 2*a + 90 = 0. Let j be 1/10 - 297/a. Suppose j*w = 69 + 41. What is the units digit of w? 1 Let v = -92 - -100. Suppose -2*x - 5*i - 315 = -v*i, 5*x + 3*i = -798. Let c = -11 - x. What is the tens digit of c? 4 Let b = -31 - -47. Suppose 14*y + 2402 = b*y - 4*f, -4*y = -4*f - 4808. What is the hundreds digit of y? 2 Suppose o - 32571 = -2*l - 3074, 29509 = 2*l - 3*o. What is the hundreds digit of l? 7 Let i be 6/(-2) + 2 + -874. Let k = i + 1334. What is the tens digit of k? 5 Suppose 28 = -402*a + 409*a. Suppose 5*f - 3*f - a*s - 768 = 0, -5*f + 3*s + 1948 = 0. What is the tens digit of f? 9 Let k(z) = 272*z + 12. Let m(r) = -3*r**2 + 21*r + 3. Let i be m(7). What is the units digit of k(i)? 8 Suppose 2*p + 15 = -3*p. Let w be 3/(-1) - p*(196 - 3). What is the units digit of ((-5)/10)/((-2)/w)? 4 Let s(h) = h**2 + 15*h + 69. Let x be s(-8). Suppose -x*j - 976 = -17*j. What is the hundreds digit of j? 2 Let p = 113 + -167. Suppose 143*c - 8483 = 2385. Let y = p + c. What is the tens digit of y? 2 Suppose 5*q = 3*k + 7 + 5, -3*q = 3*k + 12. Suppose q = 71*r - 74*r + 903. What is the hundreds digit of r? 3 Let r(a) = -a**3 + 6*a**2 + 9*a - 14. Let i be r(7). Suppose 0 = -21*p + 22*p - f - 820, 3*p - f - 2456 = i. What is the units digit of p? 8 Suppose 2*b = 3*d + 339 + 699, 2*b = -5*d - 1746. Let i be (0 + 1 - -1) + 494. Let x = d + i. What is the tens digit of x? 4 Let d = 319 - 76. Let o = -24 + d. What is the tens digit of o? 1 Let k(d) = -1. Let q(w) = 61*w + 5. Let g(o) = -6*k(o) - q(o). Let a(p) = -p**2 - 7*p + 17. Let z be a(-9). What is the tens digit of g(z)? 6 Suppose -3*n = -n. Suppose n = 3*f - 5*x + 1, -5*x = 3*f - 19. Suppose -2*h = f*h - 295. What is the units digit of h? 9 Suppose -15*n + 18920 = -39385. What is the thousands digit of n? 3 Let y be (21/(-14))/(3/(-2) + 0). What is the units digit of y/2 - -31*(-49)/(-14)? 9 Let i(y) = 166*y**2 - 19*y + 18. What is the thousands digit of i(6)? 5 Let x(s) be the third derivative of -13*s**4/24 + s**3/3 - 329*s**2. Let k be ((-2)/6 - -1)*-9. What is the units digit of x(k)? 0 What is the units digit of 9598 + (14 - 5) + -11? 6 Let i(f) = f**2 + 7*f - 18. Let q be 9/(3/(-1)) - (0 - 45). Suppose 6 - q = -6*y. What is the units digit of i(y)? 0 Let y = 27 - -57. Let b be 2 + 9/(-3) - -106. Let u = b - y. What is the tens digit of u? 2 Let w(d) = -12*d. Let f be w(-14). Suppose -5*x - g - f + 549 = 0, 5*x - 384 = -4*g. Suppose -18*v + 17*v = -x. What is the units digit of v? 6 Suppose -14*s = -9*s - 2280. Suppose 7*y + y + s = 0. Let t = 69 + y. What is the tens digit of t? 1 Suppose 2870*l + 52283 = 2871*l. What is the ten thousands digit of l? 5 Let m = 66 + -62. Let y(k) = 7*k**2 + k - 1. Let n be y(2). Suppose -m*t = -f + n, -4*f + 0*t = -4*t - 116. What is the tens digit of f? 2 Suppose 462020 = 40*o + 94260. What is the hundreds digit of o? 1 Let m(f) = -315*f**3 + 4*f**2 - f + 1. Let i(c) = c**3 + c**2 + 1. Let g(d) = -3*i(d) + m(d). What is the units digit of g(-1)? 8 Let r(c) = 8*c**3 - 2*c**2 + 2*c + 3. Let j(y) = y**3 + 3*y**2 - 9*y + 3. Let p be j(-5). Let q be 2/(-2)*p/1. What is the units digit of r(q)? 3 Let l be (13/26)/(1/604). Let w = 36 + l. What is the units digit of w? 8 Let x = 965 + -687. Let h = x + 725. What is the thousands digit of h? 1 Let w(f) = f**3 + 12*f**2 - 28*f + 11. Let p be w(-14). Let b = p - -13. Let c = 98 + b. What is the hundreds digit of c? 1 Suppose -4*z - 9 = -25, 0 = -v + z - 4. Suppose v = 5*l - 94 + 9. Suppose l = 2*y - 15. What is the units digit of y? 6 Suppose 2*i = -4*u + 260804, 31*i - 33*i - 260804 = -4*u. What is the ten thousands digit of u? 6 Suppose 6*w + 42 - 78 = 0. Suppose w*l - 100 = l. What is the tens digit of l? 2 Let x = 625 + -353. Let k = -147 + x. What is the tens digit of k? 2 Suppose 152889 - 33689 = 10*j. What is the tens digit of j? 2 Let z = 356 - 105. Let g = z + 70. What is the hundreds digit of g? 3 Let t be (-28)/(-42)*(-12531)/(-2). Suppose -12*s + t = -395. What is the hundreds digit of s? 3 Suppose 1152581 = 133*h + 93997 - 2241013. What is the ten thousands digit of h? 2 Let i(n) = 5*n**2 + 2*n + 3. Let j be i(-4). Suppose -13*h - 5697 = -64*h - 750. Let c = h + j. What is the hundreds digit of c? 1 Let j be (-327430)/2466 - 4/54*3. Let z = j - -153. What is the tens digit of z?
{ "pile_set_name": "DM Mathematics" }
52 and 968? 88 What is the highest common divisor of 114 and 3648? 114 Calculate the greatest common factor of 70 and 40. 10 What is the highest common divisor of 2454 and 12? 6 What is the greatest common factor of 40 and 5? 5 Calculate the highest common factor of 262 and 3013. 131 What is the greatest common factor of 85 and 9? 1 Calculate the greatest common factor of 86 and 2107. 43 Calculate the greatest common factor of 856 and 8. 8 What is the highest common factor of 140 and 3290? 70 Calculate the highest common factor of 189 and 135. 27 What is the highest common divisor of 264 and 168? 24 What is the highest common factor of 21300 and 36? 12 Calculate the highest common divisor of 188 and 470. 94 Calculate the greatest common divisor of 16 and 724. 4 Calculate the highest common factor of 48 and 384. 48 Calculate the greatest common divisor of 15 and 200. 5 What is the greatest common factor of 46 and 8? 2 Calculate the highest common factor of 26 and 923. 13 What is the greatest common divisor of 17862 and 78? 78 What is the greatest common factor of 374 and 102? 34 What is the highest common divisor of 2046 and 1550? 62 What is the highest common divisor of 247 and 52? 13 Calculate the greatest common factor of 329 and 6016. 47 What is the highest common factor of 532 and 437? 19 What is the greatest common factor of 4311 and 9? 9 Calculate the greatest common factor of 190 and 20. 10 What is the highest common divisor of 12678 and 6? 6 What is the highest common divisor of 16965 and 522? 261 Calculate the greatest common divisor of 912 and 744. 24 What is the greatest common factor of 4 and 292? 4 What is the greatest common factor of 3127 and 424? 53 What is the greatest common divisor of 589 and 19? 19 What is the highest common factor of 3059 and 38? 19 Calculate the highest common factor of 32 and 544. 32 What is the highest common factor of 13 and 4? 1 Calculate the greatest common divisor of 126 and 1674. 18 What is the highest common factor of 2225 and 25? 25 Calculate the greatest common divisor of 4 and 5750. 2 What is the greatest common factor of 51 and 85? 17 Calculate the greatest common factor of 524 and 16. 4 Calculate the greatest common factor of 76 and 950. 38 Calculate the greatest common divisor of 136 and 459. 17 What is the highest common divisor of 78 and 9386? 26 Calculate the highest common factor of 38 and 475. 19 Calculate the greatest common divisor of 84 and 48. 12 What is the highest common divisor of 6888 and 504? 168 What is the greatest common divisor of 176 and 143? 11 What is the highest common divisor of 21 and 21? 21 Calculate the highest common factor of 304 and 64. 16 Calculate the highest common divisor of 11 and 30. 1 What is the highest common factor of 25 and 2750? 25 What is the greatest common factor of 245 and 280? 35 What is the greatest common divisor of 3 and 219? 3 What is the highest common divisor of 243 and 16200? 81 What is the greatest common divisor of 380 and 1216? 76 Calculate the greatest common factor of 2989 and 7. 7 What is the highest common factor of 248 and 310? 62 What is the highest common divisor of 16 and 140? 4 What is the highest common divisor of 3 and 729? 3 What is the greatest common divisor of 198 and 330? 66 What is the greatest common divisor of 133 and 1995? 133 Calculate the highest common divisor of 8 and 240. 8 Calculate the highest common factor of 20 and 4. 4 What is the highest common divisor of 156 and 3144? 12 What is the highest common factor of 72 and 96? 24 Calculate the highest common factor of 34 and 544. 34 Calculate the highest common divisor of 3599 and 61. 61 Calculate the highest common factor of 7042 and 14. 14 Calculate the greatest common divisor of 52 and 1508. 52 Calculate the highest common factor of 15309 and 27. 27 What is the highest common divisor of 187 and 1683? 187 Calculate the highest common factor of 23 and 368. 23 What is the highest common factor of 16 and 2248? 8 Calculate the highest common factor of 219 and 14819. 73 Calculate the greatest common divisor of 69 and 621. 69 Calculate the highest common divisor of 388 and 17945. 97 Calculate the greatest common factor of 147 and 84. 21 Calculate the greatest common divisor of 414 and 126. 18 Calculate the greatest common factor of 48698 and 26. 26 What is the greatest common factor of 270 and 210? 30 Calculate the highest common divisor of 1843 and 291. 97 What is the highest common factor of 66 and 3894? 66 What is the highest common factor of 81 and 4833? 27 Calculate the greatest common divisor of 6699 and 406. 203 Calculate the highest common factor of 10 and 614. 2 Calculate the highest common factor of 725 and 55. 5 Calculate the greatest common divisor of 86 and 3569. 43 What is the highest common factor of 4 and 702? 2 What is the highest common factor of 48 and 368? 16 What is the greatest common divisor of 567 and 21? 21 Calculate the highest common divisor of 385 and 175. 35 What is the highest common factor of 1081 and 46? 23 Calculate the highest common divisor of 48 and 80. 16 What is the highest common divisor of 1573 and 195? 13 What is the highest common divisor of 8927 and 79? 79 What is the greatest common divisor of 1105 and 260? 65 What is the greatest common factor of 9 and 423? 9 What is the greatest common divisor of 42 and 3262? 14 Calculate the greatest common factor of 24 and 6976. 8 Calculate the highest common divisor of 125 and 41375. 125 What is the greatest common divisor of 2300 and 60? 20 Calculate the greatest common factor of 16 and 2836. 4 Calculate the highest common factor of 14928 and 16. 16 Calculate the highest common divisor of 12 and 5046. 6 What is the highest common factor of 234 and 9750? 78 What is the greatest common factor of 200 and 125? 25 What is the greatest common divisor of 18 and 30? 6 Calculate the highest common divisor of 286 and 260. 26 What is the highest common divisor of 7 and 777? 7 Calculate the greatest common divisor of 2108 and 884. 68 Calculate the highest common factor of 917 and 2489. 131 Calculate the highest common divisor of 1089 and 9. 9 What is the greatest common factor of 38 and 1007? 19 What is the greatest common divisor of 16 and 152? 8 Calculate the highest common factor of 79 and 237. 79 What is the greatest common factor of 56 and 8? 8 Calculate the greatest common divisor of 5566 and 726. 242 Calculate the highest common factor of 1221 and 111. 111 Calculate the highest common divisor of 44 and 55. 11 What is the highest common divisor of 302 and 3? 1 What is the highest common divisor of 245 and 455? 35 What is the highest common factor of 24 and 396? 12 What is the greatest common divisor of 261 and 396? 9 Calculate the highest common divisor of 72 and 108. 36 What is the highest common divisor of 153 and 1428? 51 What is the highest common divisor of 94 and 14? 2 Calculate the highest common divisor of 162 and 1053. 81 What is the highest common divisor of 5604 and 348? 12 What is the highest common factor of 18 and 117? 9 What is the greatest common divisor of 2148 and 48? 12 Calculate the highest common factor of 3 and 105. 3 What is the greatest common divisor of 75 and 6? 3 Calculate the highest common divisor of 18271 and 242. 121 Calculate the greatest common factor of 104 and 6656. 104 What is the highest common divisor of 116 and 377? 29 Calculate the highest common factor of 736 and 69. 23 Calculate the highest common factor of 176 and 3256. 88 Calculate the greatest common divisor of 159 and 53. 53 Calculate the highest common factor of 1472 and 128. 64 What is the highest common factor of 860 and 4515? 215 Calculate the greatest common divisor of 69 and 3. 3 What is the highest common divisor of 26 and 221? 13 Calculate the highest common factor of 539 and 154. 77 What is the highest common factor of 78 and 6? 6 What is the greatest common divisor of 24 and 1284? 12 Calculate the highest common factor of 32 and 1328. 16 What is the greatest common divisor of 198 and 187? 11 Calculate the greatest common divisor of 3277 and 522. 29 What is the greatest common factor of 1998 and 234? 18 Calculate the highest common divisor of 23 and 5. 1 Calculate the highest common
{ "pile_set_name": "DM Mathematics" }
t k(x) be the third derivative of -17*x**7/210 - x**5/60 + 2*x**4 - x**3/6 - x**2 - 90*x. Find the second derivative of k(v) wrt v. -204*v**2 - 2 Let s(v) = -2. Let k(m) = -m + 69. Let i(l) = -k(l) - 6*s(l). Let r(u) = 29. Let j(g) = -3*i(g) - 7*r(g). What is the derivative of j(z) wrt z? -3 Let l(b) be the third derivative of 0*b**7 + 0 + 5/12*b**4 + 0*b**3 + 20*b**2 + 11/336*b**8 + 0*b**5 + 0*b**6 + 0*b. Find the second derivative of l(z) wrt z. 220*z**3 Let u(t) = -t + 2. Let f be u(5). Let q be (-1 - f)/((-20)/(-30)). Differentiate -2 + 2*m**q - 5*m**3 - 3 with respect to m. -9*m**2 Let b(o) = -6*o - 3. Let w(l) = -27 - 7*l + 2*l + 25. Let y(k) = 5*b(k) - 4*w(k). Differentiate y(r) with respect to r. -10 Suppose 5*n - 4*n = 3*w - 1, -n - 1 = w. What is the second derivative of -c**2 + w*c + 2*c**2 + 10*c - 3*c**2 wrt c? -4 Let m(f) be the third derivative of -f**8/84 - f**7/6 - 2*f**4/3 + 31*f**2. Find the second derivative of m(a) wrt a. -80*a**3 - 420*a**2 Let w(j) = -38*j**3 + 54*j**2 + 3*j + 3. Let d(o) = 2*o**3 - o**2 - o - 1. Let c(v) = -6*d(v) - 2*w(v). What is the third derivative of c(u) wrt u? 384 Let i(y) be the second derivative of 0*y**4 - 6*y**2 - 6/5*y**5 + 0*y**3 + 0 - 13*y. Find the first derivative of i(a) wrt a. -72*a**2 Suppose 5*k - 237 = 523. Find the third derivative of 152 + 16*s**5 - k - 15*s**2 wrt s. 960*s**2 Find the third derivative of -86*u**2 - 146*u**4 - 444*u**2 - 121*u**4 wrt u. -6408*u Find the second derivative of -138*r + 3*r**2 - 4*r**2 - 2*r**2 + r**3 + 3*r**2 - 74*r**4 wrt r. -888*r**2 + 6*r What is the second derivative of 0*y + 1208*y**5 - 50*y - 1237*y**5 wrt y? -580*y**3 Suppose -1 = -6*y + 23. Find the third derivative of 3*b**3 - 7*b**3 - 4*b**2 + 21*b**4 + y*b**3 wrt b. 504*b Suppose -65 = -23*t + 18*t. Suppose -b - t + 16 = 0. Find the second derivative of -6*d**5 - 5*d + b*d + 4*d wrt d. -120*d**3 Let d(g) = -g**3 - 3*g**2 - 2*g + 213. Let c(s) = -2*s**3 - 10*s**2 - 7*s + 637. Let w(y) = 2*c(y) - 7*d(y). Find the first derivative of w(r) wrt r. 9*r**2 + 2*r Let h(p) = p**4 + p**3 - 2*p + 2. Let a(o) = -74*o**4 - 6*o**3 + 12*o + 50. Let i(c) = -a(c) - 6*h(c). Differentiate i(z) with respect to z. 272*z**3 Let f = -4 + 10. Let i be (2 - f)*15/(-12). Find the second derivative of 105 + i*j**4 + 8*j - 105 wrt j. 60*j**2 Let g(o) = -3*o**3 + 3*o**2 + 5*o + 3. Let p be g(-2). Let r = -26 + p. What is the third derivative of 44*a**2 + 2*a**r - 47*a**2 + 5*a**3 wrt a? 42 Let d(h) = -299*h**4 - 4*h**2 + 200*h. Let a(c) = 300*c**4 + 3*c**2 - 201*c. Let s(q) = -4*a(q) - 3*d(q). Find the second derivative of s(m) wrt m. -3636*m**2 Let o(n) = n**2. Let t be o(-2). Let i be (t/12)/(2/18). What is the third derivative of 3*d**6 - 3*d**2 + 6*d**2 + i*d**6 + 2*d**2 wrt d? 720*d**3 Suppose 57*s - 68 = 40*s. Let p = -5 + 9. Differentiate 4 - 8*h + p - s - 2 with respect to h. -8 Let b(n) = -10*n**3 + 2*n**2 + 6. Let l(t) = 29*t**3 - 7*t**2 - 17. Let h = -32 - -49. Let g(f) = h*b(f) + 6*l(f). What is the third derivative of g(w) wrt w? 24 Let p(m) = 2*m - 6. Let g = 15 + -8. Let s be p(g). Find the second derivative of -5*b**3 + 8 + 2*b - s wrt b. -30*b Let d = 8 + -8. Suppose 4 = 2*b - d*b. What is the derivative of 8 - b*g - g - 2 wrt g? -3 Let i(b) be the first derivative of 7*b**6 - 3*b**2 + 4*b + 71. Find the second derivative of i(f) wrt f. 840*f**3 Let f(v) be the second derivative of -13*v**8/3360 + 2*v**5/15 - v**4/2 - 6*v. Let w(y) be the third derivative of f(y). What is the derivative of w(n) wrt n? -78*n**2 Let b(u) be the second derivative of 3/5*u**5 + 0*u**3 + 8*u + 4*u**2 + 0 + 0*u**4. Differentiate b(l) with respect to l. 36*l**2 Let b(s) = s**3 - 4*s**2 - 4*s - 3. Let g be b(5). Differentiate -g + 10*a - 8 - 7 - 8 with respect to a. 10 Let c(y) be the first derivative of 55*y**4/2 - 2*y**3/3 - 9*y**2/2 - 102. What is the third derivative of c(g) wrt g? 660 Let n(f) be the second derivative of 0*f**5 + 1/3*f**4 - 4*f + 0 + 0*f**2 + 0*f**3 - 1/2*f**6. What is the third derivative of n(p) wrt p? -360*p Differentiate -12*l**4 - 2*l**2 + 3*l**2 + 47 + 6268*l**3 - 6268*l**3 wrt l. -48*l**3 + 2*l Let j(r) = -19 - 61*r**3 - 7*r**2 - 15 - 4 + 2*r. Let q(p) = 30*p**3 + 4*p**2 - p + 19. Let m(v) = -4*j(v) - 7*q(v). Find the second derivative of m(c) wrt c. 204*c Let y be -10*(0 + 5/(-10)). Suppose -y - 7 = -3*n. Find the third derivative of 5*q**4 + 2*q**4 - 6*q**2 + n*q**4 wrt q. 264*q What is the third derivative of 2 - 2 - 7*x**2 - 115338*x + 115346*x + 206*x**3 wrt x? 1236 What is the third derivative of -546*j**5 + 373*j**2 - 1053*j**2 + 547*j**5 + 274*j**4 + 16*j - 16*j wrt j? 60*j**2 + 6576*j Suppose n - 3 = 2. Suppose 5*u = n + 15. Find the third derivative of 0*p**2 - 4*p**4 + u*p**2 + 2*p**4 wrt p. -48*p Let n(s) be the first derivative of 601*s**4/4 + 2*s**2 - 6*s + 801. What is the second derivative of n(o) wrt o? 3606*o Let l(o) = o**5 - 2*o**4 + o**3 + o**2. Let k(f) = 15*f**5 - 6*f**4 + 6*f**3 + 249*f**2. Let v(s) = -k(s) + 3*l(s). Find the third derivative of v(n) wrt n. -720*n**2 - 18 Let w(m) be the second derivative of 0 - 7/10*m**5 + 0*m**2 + 0*m**3 - 8*m + 7/6*m**4. What is the third derivative of w(l) wrt l? -84 Let l(s) be the third derivative of s**8/112 + 3*s**6/20 + 103*s**5/15 + 145*s**2. Find the third derivative of l(d) wrt d. 180*d**2 + 108 Let s = -22 + 49. Suppose 3*y - 9 = s. Find the second derivative of 15*j**2 - 2*j - 25*j**2 + y*j**2 wrt j. 4 Let j be (2/(-3))/((-3)/9). Differentiate -j - 4 + 0 + 9*s**4 wrt s. 36*s**3 Let p(a) = -3*a - 2. Let r be p(-3). Find the third derivative of r*x**5 - 9*x**2 + 4*x**2 - 5*x**2 wrt x. 420*x**2 Suppose -3 = 5*v - 13. What is the third derivative of 61*d**6 + d**v - 18*d**2 - 52*d**6 wrt d? 1080*d**3 Let h(c) be the third derivative of 65*c**9/72 - 4*c**5 + 9*c**2 - 6. What is the third derivative of h(y) wrt y? 54600*y**3 What is the first derivative of 74 + 6*n - 174 + 34 - 3*n**3 - 19*n**3 wrt n? -66*n**2 + 6 Let f(c) = c**3 + 11*c**2 - 12*c + 4. Let g be f(-12). Differentiate 32 + 0*m - 31 + 4*m**g + 0*m with respect to m. 16*m**3 Let u(s) be the first derivative of 158*s**3/3 + 33*s**2/2 + 17. Find the second derivative of u(l) wrt l. 316 Let o(h) be the third derivative of -h**6/120 + 31*h**5/15 + 37*h**4/2 - 332*h**2. Find the second derivative of o(i) wrt i. -6*i + 248 Suppose 3*a + 4*v = 174, a + a - 105 = v. What is the derivative of -92*y + a*y - 4*y - 14 wrt y? -42 Let k(b) be the second derivative of b**6/5 - 10*b**3/3 - 97*b**2 - 7*b - 6. Differentiate k(h) with respect to h. 24*h**3 - 20 Let p(t) be the first derivative of 11*t**5/5 + 25*t**4/12 + 27*t - 6. Let s(c) be the first derivative of p(c). What is the third derivative of s(k) wrt k? 264 Let o(n) = 10*n**3 - 11*n**2 - 81*n + 3. Let y(k) = 12*k**3 - 12*k**2 - 81*k + 4. Let w(f) = 4*o(f) - 3*y(f). What is the second derivative of w(q) wrt q? 24*q - 16 Let b(n) = -n - 4. Let k(a) = 86*a - 107. Let x(w) = 4*b(w) + k(w). Differentiate x(q) with respect to q. 82 Let r(l) = -l + 2. Let v be r(0). Let j be (-1)/v - (-33)/6. Find the second derivative of -d - 3*d**j + 2*d**5 + 2*d**5 wrt d. 20*d**3 Let i(t) = -35*t**2 + 255. Let f(k) = -12*k**2 + 86. Let z(c) = 8*f(c) - 3*i(c). Differentiate z(l) wrt l. 18*l Let a(u) be the third derivative of u**7/30 + u**5/20 - u**4/6 - 3*u**3/2 - 3*u**2 - 70*u. Find the second derivative of a(o) wrt o. 84*o**2 + 6 Suppose -2*o - 55 = -7*o. Differentiate -45 - 13*j**4 - 6*j**4 - 6*j**4 - o*j**4 wrt j. -144*j**3 Let v(q) = q**4. Let h(c) = 17*c**4 - 40. Let r(k) = h(k) + 4*v(k). What is the derivative of r(n) wrt n? 84*n**3 Let k be 11 + -4*(-1)/2. What is the second derivative of h**3 + h**3 - 5*h - k*h - 6*h**3 wrt h? -24*h Let v(c) be the second derivative of -8*c + 9/20*c**5 + 0 + 0*c**3 + 0*c**2 + 7/6*c**4. Find the third derivative of v(w) wrt w. 54 Let b = -282 - -791. What is the second derivative of -31*i - 498*i**3 - 4*i**2 + b*i**3 + 2*i**2 wrt i? 66*i - 4 Let l(z) be the first derivative of 0*z - 16 - 12/5*z**5 + 0*z**2 + 0*z**4 + 4/3*z**3. What is the third derivative of l(d) wrt d? -288*d Suppose -9 = -6*m + 3. Suppose m*z - 20 = -2*z. What is the third derivative of -295*a + 11*a**z + 295*a + a**2 + 3*a**2 wrt a?
{ "pile_set_name": "DM Mathematics" }
t x(a) = -3*a**2. Let i(w) = 4770810*w. Give i(x(c)). -14312430*c**2 Let k(i) = -i + 0*i + 0*i. Let u(n) = 5*n**2 + 8*n + 5. Let b(r) = -21*r**2 - 38*r - 23. Let d(m) = -4*b(m) - 19*u(m). Give k(d(v)). 11*v**2 + 3 Let p(u) = -u**2. Let f(l) be the second derivative of -2/3*l**3 - 2*l + 19 + 3*l**2. What is f(p(v))? 4*v**2 + 6 Let v(l) = l. Let a(q) be the first derivative of -5975*q**2/2 - 520. Calculate a(v(f)). -5975*f Let x(s) = -1749*s. Let o(p) = -115*p**2 + 6*p. Let b(i) = -211*i**2 + 11*i. Let y(z) = 6*b(z) - 11*o(z). Give y(x(t)). -3059001*t**2 Let b(d) = 157*d + 18. Let t(z) = -81*z - 9. Let l(p) = -4*b(p) - 7*t(p). Let i(r) = r**2. What is i(l(f))? 3721*f**2 + 1098*f + 81 Let y(p) = 2*p + 136. Let g(f) = 16*f + 92. Determine y(g(l)). 32*l + 320 Let f(g) = g**2. Let m(i) = -3*i**2 + 6. Let q(h) = -58*h**2 - 35. Let v(w) = 5*m(w) + q(w). Give v(f(y)). -73*y**4 - 5 Let b(h) = 148957 - 20*h + 7*h - 148957. Let p(d) be the third derivative of 0 - d**2 + 0*d + 0*d**3 + 0*d**4 + 1/20*d**5. Determine p(b(t)). 507*t**2 Let z(v) = -14896*v + 13. Let s(p) = p + 47. Give s(z(o)). -14896*o + 60 Let v = -26 + 59. Let j(p) = v*p - 17*p - 14*p. Let t(q) = -141*q**2 + 138*q**2 + 17 - 18. Determine j(t(b)). -6*b**2 - 2 Let q(h) be the second derivative of 5*h**3/6 + 3*h. Let p(t) = 3*t. Suppose 17*u + 3 = -65. Let v(d) = u*q(d) + 7*p(d). Let r(y) = 5*y. Calculate r(v(j)). 5*j Let w(s) = -60*s**2 + 543. Let n(c) = 25*c**2. Calculate w(n(i)). -37500*i**4 + 543 Let c(s) = s**2 + 2*s + 2. Let v be c(-2). Let f(g) = 2*g**v + 36 - 36. Let l(t) be the second derivative of 16*t**3/3 - 131*t. Give f(l(x)). 2048*x**2 Let o(j) = -80*j. Let r(q) = 79*q. Let a(w) = 6*o(w) + 6*r(w). Let b(p) = 593*p. Give a(b(f)). -3558*f Let w be 18/10*(1 - (-4)/6). Let s(a) = 3 + 22*a - w - 11*a. Let r(j) be the first derivative of -j**3/3 - 1. Determine s(r(k)). -11*k**2 Let q(z) = 18779*z. Let y(k) = 8*k**2 + 289. What is y(q(v))? 2821206728*v**2 + 289 Let s(j) = -102*j - 271*j + 854 - 854 + 507*j. Let m(c) = -3*c**2. Calculate s(m(y)). -402*y**2 Let u(p) = p - 3. Let n(r) = 44*r**2 + 32 - 11*r**2 + 17*r**2 - 15 - 16. Calculate u(n(f)). 50*f**2 - 2 Let g(w) = w**2 - 40. Let x(k) = 3*k**2 - 96. Let u(h) = 5*g(h) - 2*x(h). Let o(v) = -30*v**2. Determine o(u(p)). -30*p**4 - 480*p**2 - 1920 Let b(u) = 137101*u - 4. Let v(o) = 16*o + 2. Calculate b(v(d)). 2193616*d + 274198 Let x(o) = 5*o**2. Suppose -374*n = -372*n - 8. Let j(b) = 16*b**2 - 14*b - 7. Let r(p) = 5*p**2 - 4*p - 2. Let q(c) = n*j(c) - 14*r(c). Give x(q(g)). 180*g**4 Let f(n) = -n**2 + 30. Let z(v) = -75*v - 8. Let t(s) = 2350*s + 250. Let g(r) = 4*t(r) + 125*z(r). Give f(g(d)). -625*d**2 + 30 Let y(b) be the third derivative of -b**5/12 + 389*b**2. Let d(c) = -240*c - 2. Determine d(y(x)). 1200*x**2 - 2 Let u be ((-14)/(-91))/((-1)/(-13)). Let s(f) = u*f + 8*f - 12*f. Let d(o) = 23*o**2 + 198*o - 198*o. Give s(d(j)). -46*j**2 Let b(n) be the second derivative of -59*n**4/12 - 166*n. Let c(k) = k**2. Give b(c(z)). -59*z**4 Let v(x) = 22*x. Let a(p) = -4373132*p**2. Calculate a(v(i)). -2116595888*i**2 Let t(z) = 2*z**2 - 9. Let b(c) = -16*c**2 + 66. Let l(o) = -6*b(o) - 44*t(o). Let f be (2 + -6*1)/(-1). Let h(j) = -4 + f - 2*j. What is h(l(a))? -16*a**2 Let p(f) be the third derivative of -f**4/8 + 5*f**3/6 - 257*f**2 + 2. Let n(h) be the first derivative of h**2/2 + 10. Calculate p(n(r)). -3*r + 5 Let g(k) = -11*k**2. Let u(n) = -668*n + 58. What is u(g(f))? 7348*f**2 + 58 Let q(a) = 2*a**2 + 12. Let g(m) = -4147140*m. What is g(q(r))? -8294280*r**2 - 49765680 Let d(q) = -2*q. Let l be (346 + -7)*(-4)/(-12). Let z(t) = -42 + 26 - l*t + 18. Determine z(d(v)). 226*v + 2 Let q(k) = 12*k + 11*k + k**2 - 54*k + 12*k + 13*k. Let c(u) = 6*u**2. What is c(q(t))? 6*t**4 - 72*t**3 + 216*t**2 Let c(d) = -2158*d + 1078*d + 1073*d. Let o(i) = -653*i**2. What is o(c(w))? -31997*w**2 Let q(t) = -20237454*t. Let j(y) = -7*y**2. Give j(q(n)). -2866881810814812*n**2 Let b(g) = 5*g + 7. Let v(k) = -35993*k**2 - k. Give b(v(s)). -179965*s**2 - 5*s + 7 Let j(v) = -80*v**2 - 20*v + 5. Let c(r) = 43*r**2 + 12*r - 3. Let s(o) = 5*c(o) + 3*j(o). Let d(m) = -223*m**2. Give d(s(l)). -139375*l**4 Let q(x) = -109*x - 116*x - 123*x + 346*x. Let a(v) = 34*v + 2*v + 6*v. What is q(a(h))? -84*h Let t = -10 - -15. Let a(o) = -3*o**2 - t*o**2 + 0*o**2 + 2*o**2. Let y(g) = 86 - g + 115 - 292 + 91. What is a(y(d))? -6*d**2 Let z(c) = -14*c**2 + 334*c + 336*c - 670*c. Let h(d) be the third derivative of -7*d**5/60 + 27*d**2 + d. Give z(h(f)). -686*f**4 Let f(n) = 2*n**2. Let z be (12/15)/((-52)/(-130)). Let t(y) = z*y**2 - 7*y**2 - 10*y**2 - 30*y**2. Calculate f(t(u)). 4050*u**4 Let n(h) = -3*h**2. Let p(l) be the first derivative of l**2/2 - 2*l + 3288. Give n(p(u)). -3*u**2 + 12*u - 12 Let p(f) = -515386210*f**2. Let b(q) = q**2. Give p(b(r)). -515386210*r**4 Let h(p) = 6*p**2 + 21*p + 12. Let x(s) = -4*s**2 - 15*s - 9. Let d(f) = 5*h(f) + 7*x(f). Let a(w) = 62*w**2. Give a(d(l)). 248*l**4 - 744*l**2 + 558 Let u(o) = 8*o**2. Let p(r) = -8*r + 3*r + 10 + 1064*r**2 - 1063*r**2. Let c(v) = 4*v**2 - 16*v + 32. Let k(y) = -5*c(y) + 16*p(y). Determine u(k(q)). 128*q**4 Let u(z) = 4776*z. Let p(k) = k - 276. Let v(f) = -3*f + 874. Let q(s) = -19*p(s) - 6*v(s). What is u(q(n))? -4776*n Let u(m) = 33913*m - 1. Let p(i) = -35*i + 2. Calculate u(p(g)). -1186955*g + 67825 Let j(d) = -22052*d**2 - 481. Let c(h) = -275*h**2 - 6. Let p(l) = -481*c(l) + 6*j(l). Let z(s) = -32*s - 2. Give z(p(g)). 1184*g**2 - 2 Let f(j) = -8610*j + 4. Let i(l) = 60273*l - 27. Let u(v) = 27*f(v) + 4*i(v). Let r(c) = 2*c. What is u(r(o))? 17244*o Let n(b) = 1. Let j(i) = -i - 1. Let z(q) = 6*j(q) + 3*n(q). Let t(o) = -7*o - 2. Let y(f) = 3*t(f) - 2*z(f). Let h(g) = -g. Calculate h(y(w)). 9*w Let c(i) = 236481*i. Let n(j) = 14*j + 14. Calculate n(c(r)). 3310734*r + 14 Let t(o) = 4*o**2. Let s be (-3 + 2)*0/(-8). Let r(g) be the third derivative of 0 + g**2 + s*g**3 + 0*g**4 + 1/20*g**5 + 0*g. What is r(t(j))? 48*j**4 Let o(i) = -22*i + 112. Let h be o(5). Let r(w) = -22*w**h + 0*w**2 + 17*w**2. Let d(j) = 15*j. Calculate r(d(t)). -1125*t**2 Let s(p) = p + 9*p - 29 + 5*p + 34 - 20*p. Let v(a) = 162*a. Calculate s(v(x)). -810*x + 5 Let v be (33/44)/((-6)/(-16)). Let w(s) = s**2 + 1. Let p(k) = 4*k**2 + 3. Let u(t) = v*p(t) - 6*w(t). Let y(m) = -80*m**2. Calculate u(y(a)). 12800*a**4 Let z(k) = 2*k**2 - 41. Let f(x) = 24169*x. Give f(z(i)). 48338*i**2 - 990929 Let v(s) = 2*s - 22020938. Let u(x) = -3*x. Determine u(v(j)). -6*j + 66062814 Let a(p) = -293645*p - 12. Let c(g) = -g. What is c(a(t))? 293645*t + 12 Let b(y) = -54232524*y. Let n(g) = -9*g. Calculate b(n(s)). 488092716*s Let g(u) = 38*u - 77*u + 40*u. Let b(x) = -557*x - 390*x + 429*x. What is g(b(l))? -518*l Let i(p) = -1441986*p. Let z(x) = 2*x**2. Calculate i(z(b)). -2883972*b**2 Let l(i) = -6368*i**2. Let y(z) = 548*z**2. Calculate l(y(p)). -1912335872*p**4 Let a(f) = 105*f. Let i(z) = -5450*z**2 + 4*z. Give a(i(b)). -572250*b**2 + 420*b Let t(u) be the second derivative of 13*u**3 - 1107*u. Let r(l) = -3*l**2. Give r(t(s)). -18252*s**2 Let v = 22 - -9. Suppose v*i - 9*i = 1408. Let d(o) = 28*o**2 - 2*o - i*o**2 - 54*o**2. Let h(n) = 2*n**2. What is h(d(w))? 16200*w**4 + 720*w**3 + 8*w**2 Let p(m) = -6288518*m. Let l(g) = -6*g**2. What is l(p(u))? -237272751817944*u**2 Let o = -6729 - -20245. Let y(h) = -13516 - 7*h + o. Let v(j) be the third derivative of j**5/15 - j**2. What is y(v(s))? -28*s**2 Let k(w) = 9*w - 2 + 2 - 11*w. Let o(v) = 59*v**2 + 61*v**2 - 110*v**2. Determine o(k(y)). 40*y**2 Let r(o) = 11*o**2 - 3*o - 3. Let b(a) = 22*a**2 - 7*a - 7. Let s(t) = 3*b(t) - 7*r(t). Let l(q) = -1197*q**2 + 644*q**2 + 560*q**2. Calculate l(s(p)). 847*p**4 Let g(l) = 2*l**2. Let x(r) = -105*r + 1432696. Determine x(g(n)). -210*n**2 + 1432696 Let j(i) = 2*i**2. Suppose 13*t - 21215 = 38182. Let n(r) = -4569 + t + r**2 + 8*r. Determine j(n(k)). 2*k**4 + 32*k**3 + 128*k**2 Suppose 0 = 4*z + 2*n - 26, -n - 31 = -5*z - 2*n. Let v(r) = -r**2 - 3*r + 3. Let u be v(-3). Let g(l) = -z*l + u*l + l + 4*l. Let a(t) = 3*t. What is g(a(w))? 6*w Let d(m) be the first derivative of m**2/2 - 2406*m - 4481. Let k(r) = r. Calculate d(k(f)). f - 24
{ "pile_set_name": "DM Mathematics" }
imal places. -0.000021 Let g = -3.7299071 + 3.73. Round g to 4 decimal places. 0.0001 Let q = 58535.948857 - 58536. Round q to 2 decimal places. -0.05 Suppose 4*z + 16 = 0, -2*z - 12484 - 7215812 = -4*b. Suppose 0 = -31*x + 1863328 + b. Round x to the nearest 10000. 120000 Suppose -4*x = -y + 6, 4*y = -x + 1 - 11. Let k be (-25)/(-5) + 617*y. Round k to the nearest one hundred. -1200 Let m = -14.125 + -367.475. Round m to the nearest one thousand. 0 Let f = -0.468 + 56.218. Let d = f + -55.25948. Let z = -0.49 + d. What is z rounded to 4 dps? 0.0005 Let r = 0.175989226 - 0.176. What is r rounded to five dps? -0.00001 Let s = -12142.4 - -10537. Round s to the nearest one hundred. -1600 Let q = 2.091 - -0.279. Let l = 2.3935 - q. Round l to 3 dps. 0.024 Let k = -2.7 + 14.8. Let q = k - 12.099999897. What is q rounded to 7 dps? 0.0000001 Suppose 13*l - 2203 = -383. Let c be 108600*28/l*15/(-2). What is c rounded to the nearest 1000? -163000 Let j = -0.92864 - -0.872731. Round j to three dps. -0.056 Let o = 32.2 + -33. Let c = -55.7 - o. Let k = c + 21.2. What is k rounded to zero decimal places? -34 Let k = 22081 + -22170.33. What is k rounded to the nearest ten? -90 Let h = -6.35 - -6.289056. Round h to four dps. -0.0609 Let i be (-2)/(8/(-5690)) + (-36)/(-24). Suppose -9*u + 6*u + 2*n = -i, 2 = n. Round u to the nearest one hundred. 500 Let u = -7700.7858327 - -7615.78591. Let b = u - -85. Round b to 5 dps. 0.00008 Suppose -1602*i + 1634*i - 486656000 = 0. Round i to the nearest one million. 15000000 Suppose 4*y = q + 14, -5*q - 5*y + 35 = -4*y. Let u(s) = 1333*s + 17. Let j be u(q). Suppose -5*k - 26765 = -j. What is k rounded to the nearest 100? -3800 Let u = -28.9 + -6.1. Let w = u + 29.6. Let o = w - -5.3999997. What is o rounded to seven decimal places? -0.0000003 Let j = 1402.4 + 1676. Round j to the nearest 10. 3080 Let o = -0.338 + 0.3. Let w = -17.962 + o. Let v = 8.4 + w. What is v rounded to the nearest integer? -10 Suppose 5*c + 3*l + 2497 = 0, 2*c - 47 + 1042 = -5*l. Let s be c*(3512/(-10))/(22/(-275)). Round s to the nearest 1000000. -2000000 Let t = -185774684 - -185773710.99587. Let a = 973 + t. What is a rounded to 4 dps? -0.0041 Let i = 86978.634 + -87080. Let v = i + 101. Round v to 2 decimal places. -0.37 Suppose -139 = -3*d - 25. Let b = d + -36. Suppose b*v + 4*x + 260004 = 0, 4*x + 0*x = 2*v + 259996. Round v to the nearest one hundred thousand. -100000 Suppose -12*o + 63*o - 697768893 = 0. Let x = o - 19832743. What is x rounded to the nearest 100000? -6200000 Suppose -24*u - 4*u = 0. Suppose -15*t + 8*t - 1639400 = u. What is t rounded to the nearest 10000? -230000 Let z = 0.066 - 0.275. Let l = z - -0.1446. Round l to two dps. -0.06 Let s = -41980079 - -41977916.0991. Let x = -2163 - s. Let c = 0.105 + x. Round c to three decimal places. 0.006 Let l = 76092.9999932717 + -76093. Round l to seven decimal places. -0.0000067 Let f = -54 - -54. Suppose 3 = 3*i, -4 = 4*b - 4*i - f. Suppose h = -2*m - 121399999, 4*m - 4*h = -b*m - 242800004. What is m rounded to the nearest 1000000? -61000000 Let j = -3096.1151 + 3097.5. Let y = -0.0849 + j. What is y rounded to the nearest ten? 0 Let y = -17.59 - -213.12. Round y to the nearest 10. 200 Let b(p) = 10*p + 176. Let h be b(-17). Suppose 0 = -4*q - 7*s + h*s + 367605, 0 = -5*s + 25. Round q to the nearest ten thousand. 90000 Suppose -p - 170562 = -4*n, 16*p - 170560 = 17*p - 3*n. Let a = p + 62554. What is a rounded to the nearest ten thousand? -110000 Let g = -37443 + 37442.68093. What is g rounded to 3 dps? -0.319 Suppose -5*i = -3*j + 136916990, -7*i = 14 - 28. Round j to the nearest 1000000. 46000000 Let d be (-4)/16 - (-7)/(-4). Let n be -1 - (-1 + d + -13075). Suppose 14523 + n = 2*t. Round t to the nearest one thousand. 14000 Let h = 1657 + 16959. Suppose h - 167336 = 8*o. Round o to the nearest one thousand. -19000 Let g = 0.0389025578 + -0.0389. Round g to 6 decimal places. 0.000003 Let w = -1.9982 - -1.96983. Round w to 2 dps. -0.03 Suppose -5*n - 436*a + 52529998 = -435*a, -5*n + 3*a = -52530006. Round n to the nearest 100000. 10500000 Let x = -0.374 - -0.37451. What is x rounded to 3 dps? 0.001 Let g = -62 - -54. Let k be (-20)/4 - g - -1. Suppose u + 14105 = -u - 3*y, k*u + 5*y = -28215. What is u rounded to the nearest one thousand? -7000 Let o = 3002.382918 - -10124827654.617082. Let q = 10124830747.99999721 - o. Let c = 91 - q. What is c rounded to six decimal places? 0.000003 Let k = 11374.18158 - 11374. What is k rounded to 3 dps? 0.182 Let i = 188415.791 - 187999. Let l = i - 417. Let m = -0.208873 - l. What is m rounded to five decimal places? 0.00013 Let p = 1328810690243.999998046 + -1328810691847. Let s = p - -1603. What is s rounded to seven dps? -0.000002 Let k = -54.31 - -54. Let l = k - -66.31. Let c = l + -65.934. Round c to 1 decimal place. 0.1 Let p be (-219)/(-6)*(297 + -7). Suppose 19*l + p - 53202 = 0. Suppose -5*b - 2012 = l. Round b to the nearest 100. -900 Let b = 793854 + -793851.320452. Let x = b + -2.68. What is x rounded to four dps? -0.0005 Suppose -u + 6*g - g + 18 = 0, -2*g - 6 = 0. Suppose -5*m - 1890025 = u*k, 2*k - 3*m + 1259985 = -0*m. What is k rounded to the nearest one million? -1000000 Let k = -47049 - -47049.0001137. What is k rounded to 5 dps? 0.00011 Let s be 1 + 5 + -358 + 6. Let a = s - 401. Round a to the nearest 10. -750 Let l = -3084.68 + 3153. Let r = -242 + 312. Let w = l - r. What is w rounded to 1 decimal place? -1.7 Let b = 3.29 - 31.49. Let z = -28.432 - b. What is z rounded to 2 decimal places? -0.23 Let l(y) = -15 - 14 - 29*y + 31*y. Let b be l(17). Suppose 4*i - 5*n = 13, -2*i = i - b*n - 16. What is i rounded to 1 dp? -3 Let m(j) = 2*j**2 - 44*j - 1949. Let b be m(105). Round b to the nearest 1000. 15000 Let z = -204.87 + 204. Let g = -0.005 - 1.605. Let c = z - g. Round c to one decimal place. 0.7 Let r = 406.87 - -50.43. What is r rounded to the nearest one hundred? 500 Suppose 39823 - 3966 = j. Let x be -1 + 6/5 - (-120)/25. Suppose -x*u = -j - 379143. What is u rounded to the nearest ten thousand? 80000 Let t = -600 - -599.673. Let v = -369.2 + 369.193. Let z = t - v. Round z to one decimal place. -0.3 Let a = 1.97 + -0.77. Let h = -0.902 + a. Round h to 1 dp. 0.3 Let p be -4 - (-2470210 + -3 + -3). Suppose -8*c + p = -3813244. Let i = -1755432 + c. What is i rounded to the nearest one hundred thousand? -1000000 Let k = 0.055 + -0.395. Let r = k - 99.66. Let d = r + 99.889. What is d rounded to two decimal places? -0.11 Let k = -45.2 - -44.977. Let h = k + 0.223398. Round h to four dps. 0.0004 Let h(l) = 3*l**2 + 57*l + 15. Let t be h(-23). Suppose -267 = -w + 3*z, -26*w - 3*z + t = -25*w. What is w rounded to the nearest 10? 280 Let c = 14111380 + -14110466.6479. Let x = -1018.35259 + c. Let b = x - -105. What is b rounded to four dps? -0.0005 Let f = -8841.02066 - -8859.02064502. Let k = f + -18. Round k to six dps. -0.000015 Let g be 36*(-13000)/(-78)*(-292)/(-10). What is g rounded to the nearest one hundred thousand? 200000 Suppose w + 93 - 107 = 0. Suppose -w*q + 11120 = -6*q. What is q rounded to the nearest 100? 1400 Let n be (-6)/(-8) + 222/24. Let b be 2/n + 2184/105. Let g be 9*(-7)/b + (0 - -3). What is g rounded to 5 decimal places? 0 Let z = -2.77 - -1679.77. Let y = 1677.0000833 - z. What is y rounded to 6 decimal places? 0.000083 Let d = 6.0868 - 6.042449. What is d rounded to 3 decimal places? 0.044 Let o = -0.0073 - -0.0183. Round o to 1 decimal place. 0 Let s = 70.808606343 - -24.19139429. Let b = s - 95. Round b to seven decimal places. 0.0000006 Let z = -0.057381872 - 647.936438128. Let p = -648 - z. Round p to three decimal places. -0.006 Let f(t) = -8*t + 59. Let x be f(7). Let z be 25902 + -13 + x + 8. What is z rounded to the nearest 10000? 30000 Let z(f) = -2*f**3 - 17*f**2 - 25*f - 11. Let w be z(-6). Suppose 2*a = 3*m + 87, -4*a = -0*a - 2*m - 170. Let s = w + a. What is s rounded to the nearest ten? 0 Let j = -0.6836 + 487.8736. What is j rounded to 0 dps? 487 Let w = -0.068259818 - -0.06827. What is w rounded to 6 decimal places? 0.00001 Let x = -5004.3 + 12615.7. What is x rounded to the nearest 10? 7610 Let p = -10.1 - -10.63. Let i = 73978 + -73978.52981. Let v = i + p.
{ "pile_set_name": "DM Mathematics" }
122*u + 1. Let j(p) = 5*p**2. Determine j(l(z)). 6294420*z**2 + 11220*z + 5 Let v(w) be the first derivative of -w**2 + 0*w + 0*w**4 - 1/30*w**5 + 0*w**3 + 1. Let n(t) be the second derivative of v(t). Let a(z) = 2*z. What is n(a(l))? -8*l**2 Let b(u) = -u. Let g(a) = -3*a + 6. Let f(d) = 2*d - 5. Let z = 33 + -18. Suppose c - z = -2*c. Let h(j) = c*g(j) + 6*f(j). Give b(h(n)). 3*n Let l(n) = 5*n. Let h(c) = -2*c. Let z(v) = 4*h(v) + l(v). Let s(j) = 2*j**2. What is z(s(m))? -6*m**2 Let p(t) = 12*t**2. Let g(l) = 11*l - 13. Suppose -4*z - 30 = z. Let y(j) = 5*j - 6. Let o(k) = z*g(k) + 13*y(k). What is p(o(c))? 12*c**2 Let v(p) = -3*p**2. Suppose 5*q + 0*q + w - 6 = 0, 14 = q - 3*w. Let l(d) = q*d - 4*d + 4*d. What is v(l(a))? -12*a**2 Let f(g) = -8*g - 4. Let w(j) = -j**2 + 3. Let o(q) = 3*q**2 - 8. Let v(z) = 3*o(z) + 8*w(z). Give v(f(a)). 64*a**2 + 64*a + 16 Let j(n) = -5*n**2 + 3*n + 3. Let r(u) = 26*u**2 - 16*u - 16. Let k(b) = 16*j(b) + 3*r(b). Let t(h) = -41*h**2. Determine k(t(w)). -3362*w**4 Let d(b) be the first derivative of 0*b + 7/2*b**2 + 7. Let v(i) = -i**2. Calculate d(v(p)). -7*p**2 Let j(x) = -4*x**2 - 2*x**2 + 5*x**2. Let y(d) = d - 3*d + 4*d - 4*d. Determine j(y(r)). -4*r**2 Let p(y) = 8*y**2 - 10*y. Let f(a) = a**2 - a. Let u(i) = 20*f(i) - 2*p(i). Let s(g) be the second derivative of g**4/12 - 2*g. Determine u(s(w)). 4*w**4 Let y(u) be the second derivative of -u**3/3 - 2*u. Let j(h) be the second derivative of h**4/6 + h - 41. Calculate y(j(c)). -4*c**2 Let p(s) = 6*s. Let r(q) = 4*q + 6. Calculate p(r(x)). 24*x + 36 Let x(h) = -4*h. Let w(l) = 2003*l. Determine w(x(v)). -8012*v Let t(h) = -h. Let l(o) = 510*o + 3. Calculate t(l(v)). -510*v - 3 Let f(b) = -2*b**2. Let p = -3 - -15. Let x(v) = 1. Let d(s) = 2*s - 12. Let r(u) = p*x(u) + d(u). What is f(r(i))? -8*i**2 Let p(u) = 2*u. Let l(g) = 2*g**2 + 22*g + 39. What is l(p(n))? 8*n**2 + 44*n + 39 Let f(k) = 1125*k**2. Let u(g) = 3*g**2. Determine f(u(b)). 10125*b**4 Let a(h) = 2*h. Let q(z) = 29*z. Give q(a(n)). 58*n Let o(g) = 2*g**2. Let s(w) be the third derivative of 0*w - 4*w**2 + 0*w**4 + 0 - 1/20*w**5 + 0*w**3. Give s(o(f)). -12*f**4 Let p(g) = g. Suppose 0 = -5*v + 40 - 40. Let i(c) be the second derivative of v - 2*c + 0*c**2 + 1/2*c**3. Determine p(i(b)). 3*b Let y(t) be the second derivative of -7*t**4/12 + t. Let i(j) = 8 + 0*j - 2*j - 8. Determine i(y(c)). 14*c**2 Let h(s) = -s**2 - 4*s - 4. Let x(v) = 2*v**2 + 9*v + 9. Let g(q) = 9*h(q) + 4*x(q). Let b(r) be the first derivative of r**3 - 3. Give g(b(u)). -9*u**4 Let t(m) be the third derivative of -m**5/60 - m**4/6 + 9*m**2. Let l(j) = -j. What is l(t(u))? u**2 + 4*u Let v(t) = -t**2 - t - 1. Let h(s) = -9*s**2 - 3*s - 6. Let b(k) = h(k) - 6*v(k). Let x(d) = -2*d**2. What is x(b(o))? -18*o**4 + 36*o**3 - 18*o**2 Let m(p) = -9*p - 5. Let w(h) = -4*h - 3. Let b(x) = -3*m(x) + 5*w(x). Let y(j) = 2*j**2. Calculate y(b(s)). 98*s**2 Let l(g) = -1760*g**2. Let d(f) = -4*f. Determine l(d(w)). -28160*w**2 Let i be 10/4*(-24)/(-10). Let b(t) = 7 - i - 1 - 7*t. Let g(d) = d. What is g(b(k))? -7*k Let a(x) = 3*x. Let z(f) = -12*f - 18. Let p(q) = q + 1. Let h(w) = -18*p(w) - z(w). Determine a(h(d)). -18*d Let o(f) = 0*f**2 + 3*f**2 - 2*f**2. Let l(t) be the third derivative of t**5/10 - 79*t**2. What is o(l(x))? 36*x**4 Let y(t) = -112 - 12*t + 112. Let z(u) = 4*u**2. What is z(y(c))? 576*c**2 Let i(d) = -21*d**2 - 11. Let g(y) = -4*y**2 - 2. Let a(r) = -11*g(r) + 2*i(r). Let w(p) = 21*p**2. Calculate a(w(h)). 882*h**4 Let x(b) = -7445*b. Let l(q) = -q**2. Give l(x(j)). -55428025*j**2 Suppose x + 4 = 2*s + 4*x, 11 = 3*s + 2*x. Let o(u) = -5*u + s*u + 4*u - u. Let z(y) = y**2. Calculate o(z(j)). 3*j**2 Let c(r) = r**2. Suppose 85 = 5*b - 5*u, -5*b + 2*u + 83 = -u. Suppose 3*p - 2*v - b = 0, -5*p - 2*v - v = -14. Let y(d) = p - 4 + 4*d**2. What is y(c(m))? 4*m**4 Let s(w) = -4*w**2. Let y(x) = 1 + 4*x**2 + 5 - 6. Give s(y(m)). -64*m**4 Let q(h) = 10*h. Let l(p) = 2*p - 3*p + 0*p. Let f(t) = -12*l(t) - q(t). Let b(g) = g - 1. Let m(w) = -2. Let a(r) = -2*b(r) + m(r). What is f(a(s))? -4*s Let b(y) = -2984*y**2. Let q(x) = 2*x**2. Give q(b(s)). 17808512*s**4 Let w(u) = -u**2. Suppose -3*b + 12 = -0*b. Suppose a - b*g - 13 = 0, -g - 2 = 2*a - 1. Let d(s) = -1 - s**2 + a. Give w(d(z)). -z**4 Let c(h) be the third derivative of -h**4/24 + 21*h**2. Let l(w) be the second derivative of w**3/6 - w. Give l(c(u)). -u Let c(r) = -4*r. Let u be (1 - -1) + 4 + -4. Let g(d) be the first derivative of 0 - u*d**2 - 2 + 3*d**2. Give g(c(z)). -8*z Let v(c) = 6*c. Let u(k) = 8*k. Let s(x) = 15*x. Let t(a) = 3*s(a) - 5*u(a). Calculate v(t(f)). 30*f Let d(t) = -5*t. Let k(z) = 2*z**2 - 5*z. Let m(y) = -2*y**2 + 4*y. Let q(o) = -4*k(o) - 5*m(o). Calculate q(d(n)). 50*n**2 Let f(l) be the second derivative of -l**3/2 + 5*l**2/2 - 12*l. Let o(s) = 2*s. Give f(o(n)). -6*n + 5 Let g(b) = b**2. Let w(t) = -t**2 - t + 4. Let s be w(0). Let a(c) = s*c**2 - 7 + 7. Determine g(a(f)). 16*f**4 Let f(l) = -l. Let q(z) be the first derivative of -1/120*z**5 + 0*z**2 + 0*z**4 + z**3 + 0*z - 1. Let u(x) be the third derivative of q(x). Calculate u(f(g)). g Let x(v) = 3*v**2. Let g(i) = -5*i + 16*i**2 + 6*i - i. Determine g(x(j)). 144*j**4 Let v(h) = h**2. Let b(q) = -237*q**2. What is v(b(t))? 56169*t**4 Let k(c) = c**2 - 1. Let q(z) = 4*z**2 - 5. Let d(o) = -10*k(o) + 2*q(o). Let r(j) = 7*j - 6. Let t(w) = -13*w + 11. Let n(m) = 11*r(m) + 6*t(m). Give n(d(s)). 2*s**2 Let p(v) = 12*v. Let o(h) = 32*h. Calculate o(p(c)). 384*c Let n(g) = -16*g + 3. Let z(p) = p**2 - 2*p + 1. Let m(c) = 4*c - 2. Let h(f) = m(f) + 2*z(f). Give h(n(b)). 512*b**2 - 192*b + 18 Let o(a) = 2*a**2. Let k(h) = 7*h - 6 + 6 + 7*h. Determine o(k(p)). 392*p**2 Let s(o) = -o. Let x(g) = 7 + 6*g**2 - 1 - 6. Determine x(s(p)). 6*p**2 Let s be (-5)/10 + 1 + 2/(-4). Let b(g) be the third derivative of 0*g**3 + 0*g + 1/6*g**4 + s + 3*g**2. Let j(c) = 2*c. Calculate b(j(d)). 8*d Let q(d) = 1475*d. Let y(s) = -2*s. What is y(q(c))? -2950*c Let r(f) = 3*f. Let c(v) = 65*v**2. What is r(c(x))? 195*x**2 Let h(o) = 8*o. Let p(t) = -11*t + 26. Give h(p(b)). -88*b + 208 Let b(u) = -2*u. Let m(y) be the second derivative of -y**4/2 - 4*y. What is b(m(i))? 12*i**2 Let o(w) = -10*w**2 + 4. Let x(u) = -9*u**2 + 3. Let b(a) = 3*o(a) - 4*x(a). Let r(j) = -2*j**2 - 9*j + 9*j. What is r(b(l))? -72*l**4 Let b(g) = -6*g + 18*g - 4*g - 7*g. Let q(v) = 4*v. Give b(q(o)). 4*o Let m(i) = 2*i. Let y(n) = -8*n + 3*n + 14*n. Determine y(m(x)). 18*x Let r(t) = 3*t - 2*t + 0*t. Let o(g) be the first derivative of g**3/3 + 3*g - 1. Let l(u) = u**2 + 2. Let q(f) = 6*l(f) - 4*o(f). Determine r(q(c)). 2*c**2 Let i(q) = q**2. Let a = 32 + -23. Let z(l) = 2 + a*l + 2*l - 2. Determine i(z(m)). 121*m**2 Let w(x) = -3*x - 4. Let s(t) be the third derivative of t**4/8 + t**3/2 - 3*t**2. Let r(l) = -4*s(l) - 3*w(l). Let y(o) = o**2. Determine y(r(c)). 9*c**2 Let o(i) = -7*i**2 + 2. Let u(x) = x**2. Determine u(o(g)). 49*g**4 - 28*g**2 + 4 Let i(j) = -2*j**2. Let x(w) = w + 145. What is i(x(y))? -2*y**2 - 580*y - 42050 Let s(y) = y**2. Let m be (8/96*-2)/((-2)/4). Let o(k) be the first derivative of 0*k**2 + 1 + m*k**3 + 0*k. Determine s(o(z)). z**4 Let x(k) be the second derivative of -10*k**4/3 - 2*k. Let n(c) = -2*c**2. Give n(x(p)). -3200*p**4 Let p(v) = -v**2. Let r(t) = -374*t + 3. Determine r(p(u)). 374*u**2 + 3 Let c(j) = 2*j. Let b(v) = -109*v**2. Calculate b(c(h)). -436*h**2 Let k(u) = -5*u. Let l(m) be the third derivative of m**4/8 + 4*m**2. Determine l(k(r)). -15*r Let k(n) = 10*n**2 - 34*n + 34*n - 3*n**2. Let y(m) = -4*m**2. Determine k(y(z)). 112*z**4 Let h(p) = 1. Let t(z) = 17*z + 68. Let w(a) = -68*h(a) + t(a). Let q(i) = -i**2. Determine w(q(n)). -17*n**2 Let f(q) = -14*q**2. Let i(j) be the third derivative of j**5/60 - 13*j**2. Give i(f(x)). 196*x**4 Let c = -6 - -8. Let i(a) = -3*a - 3 + c + 1. Let p(y) = -y**2. Give i(p(q)). 3*q**2 Let o(h) = -12*h. Let w(b) = -8*b - 3. What is w(o(m))? 96*m - 3 Let k(c) = -92*c**2 + c. Let o(u) = 2*u. Give o(k(x)). -184*x**2 + 2*x Let k(p) = 7336*p**2. Let q(z) = -3*z**2. What is q(k(x))? -161450688*x**4 Let z(k) = k. Let d(y) = 52*y**2. Calculate d(z(n)). 52*n**2 Le
{ "pile_set_name": "DM Mathematics" }
et t = 21 + -10. Let q(k) = k**2 + 3*k - 9. Let z be q(-5). Let i be -2 - -1 - (-2)/z. Calculate the greatest common factor of t and i. 1 Let g(z) = -z**2 + 7*z + 10. Let a be g(8). Let m be a + (-8)/((-1)/(-1)). Let p(y) = -10*y. Let w be p(m). What is the greatest common divisor of w and 12? 12 Let d(f) = 8*f - 25. Let y be d(4). Suppose y*m - 4*m - 24 = 0. Calculate the highest common factor of 1 and m. 1 Suppose 234 = 102*u - 93*u. What is the highest common factor of 208 and u? 26 Let m(a) = a**3 - 5*a**2 - a. Let g be m(5). Let h be 4 + (-4 - g) - 3. Suppose -h*b = 2*d - 28, -d + 6 = 3*b - 0. What is the highest common factor of d and 6? 6 Let l(s) = -5 + 5*s + 5 + 2 - 19*s. Let i be l(-2). Calculate the highest common factor of 15 and i. 15 Let i be (5 - 6) + 1*-1. Let y be -4*i/(8/(-69)). Let q = y + 104. Calculate the greatest common divisor of 7 and q. 7 Let t(s) = -5*s - 10. Let j be -8 + (2/(-3))/(4/(-6)). Let z be t(j). Calculate the highest common factor of 125 and z. 25 Suppose -3*k - 18 = -3, 4*k = 4*v - 28. Let x be (-1 - -3)/(v/(-15)). Let z = x - -36. What is the highest common divisor of z and 7? 7 Suppose 5*h - 4*f = 20 + 36, 5*h - 2*f = 58. Suppose 3*i - 36 = -i. Let x be (i/6)/(3/216). What is the greatest common factor of h and x? 12 Let b(f) = -192*f + 194. Let d be b(1). Let v = -20 + 46. Suppose a + v = 3*t + d*a, -4*t + 5*a = -22. What is the greatest common factor of 12 and t? 4 Let f be ((1/(1/10))/2)/1. Suppose 0 = c + 2*u - 15, c - f*u = -0*c + 15. Calculate the greatest common factor of 5 and c. 5 Let u be 2*(1 + 0) + -1. Let a be (3/9)/((-2)/(-12)). Suppose i = 3*h - 19, 30 = 3*h + 2*h - a*i. What is the highest common factor of u and h? 1 Let q = 12 - -42. Let b = 2710 - 2704. What is the highest common factor of b and q? 6 Let o be ((-76)/190)/((-3)/225). Suppose 0 = 2*i + 3*i - 475. Suppose -3*b - b + 5*u = -105, 5*b + u = i. What is the greatest common factor of o and b? 10 Suppose 66*b = 70*b - 3*q - 153, 79 = 2*b - q. Calculate the greatest common divisor of b and 49. 7 Let l = 70 - 10. Let n be l*(14/6 - 2). Suppose 52 = 4*q + 4*g, -2*q + 4*q = g + n. What is the highest common divisor of 1 and q? 1 Let j = -11 + 13. Let r = 7 - j. Suppose -3*t + c = 1, -2*t - 18 = -0*t - r*c. Calculate the greatest common factor of t and 8. 1 Suppose -277 + 253 = -2*t. What is the greatest common divisor of t and 30? 6 Let l(g) = -g**2 - 7*g - 5. Let k be l(-5). Let h be 0 + (-3 + 2)*-2. Suppose -z - 45 = -h*z. Calculate the greatest common factor of k and z. 5 Let c(g) = -g**3 + g**2 + 3*g - 6. Let s be c(4). Let y = s + 132. Calculate the greatest common divisor of y and 15. 15 Let v(b) = -3*b - 49. Let w be v(-20). Suppose -4*o = -93 - 39. Suppose 5*a - 5*s - 55 = -0*a, 3*a + 4*s - o = 0. What is the greatest common factor of w and a? 11 Let q be (44/(-6))/((-18)/27). Let a = 33 - q. Calculate the highest common divisor of 55 and a. 11 Let c(l) = -l**2 + 30*l + 43. Let x be c(29). Calculate the greatest common factor of 960 and x. 24 Let t = -160 + 170. Calculate the greatest common factor of t and 55. 5 Suppose 5*h + 3*d - 12 - 197 = 0, -2*d + 6 = 0. Let m = h + -7. Let i = -15 + m. What is the greatest common factor of 90 and i? 18 Suppose 5*y - 479 = 236. Let z be 2/7 - (-1 + (-27)/(-21)). Suppose z = j - 45 + 32. Calculate the highest common factor of y and j. 13 Let f = -85 - -81. Let k be (-9)/(f/22 - (-5)/(-33)). What is the highest common divisor of k and 1? 1 Suppose 0 = 5*u + 2*x - 836 + 200, -3*x = 5*u - 639. What is the greatest common divisor of 42 and u? 42 Let u be 1/((-3)/(-33)) + 1. Let k = 52 + 71. Let j = k + -87. Calculate the highest common factor of u and j. 12 Suppose 0*q + 20 = 5*q. Suppose 0 = -q*g + 63 + 29. Calculate the greatest common divisor of 69 and g. 23 Let f = -542 - -587. Calculate the highest common divisor of 1080 and f. 45 Let p = -98 + 60. Let t = p + 48. What is the greatest common divisor of t and 40? 10 Let b(s) be the third derivative of -s**4/24 - 5*s**3/2 + 2*s**2. Let p be b(-17). What is the highest common factor of 2 and p? 2 Suppose -6*v + 135 + 2325 = 0. Calculate the greatest common divisor of v and 10. 10 Suppose 0 = -9*y + 4385 - 713. What is the greatest common divisor of 17 and y? 17 Suppose 0*c - c = -3. Suppose -6 = -c*b + b. Suppose 0*z - 18 = -b*z. What is the highest common factor of z and 2? 2 Suppose -u + 2*c + 10 = -12, 2*u + 4*c - 68 = 0. Let f(q) = -q**3 + 5*q**2 + 6*q + 7. Let d be f(6). Calculate the highest common divisor of u and d. 7 Suppose c = 6 - 2. Suppose -c*d + 52 = 4. Suppose z - 54 = -3*v + 27, -v - 141 = -2*z. What is the highest common factor of z and d? 12 Let f(o) = -o**2 + 12*o - 8. Let y be f(11). Suppose -38 = y*c - 4*c. What is the highest common divisor of c and 95? 19 Suppose o - 2 = -n, o + 2 = -0*o - 5*n. Suppose o*i - 15 = -2*i. Let d be 8/14 - (-24)/56. Calculate the greatest common divisor of i and d. 1 Let y = 4 + 0. Suppose -y*r - 38 = -2. Let h be 2/(-6) + (-48)/r. What is the greatest common divisor of 25 and h? 5 Let d = -65 - -98. Suppose -2*c + 5 = 2*f - d, 5*f = 5*c - 65. What is the greatest common factor of 112 and c? 16 Suppose -99*q = -97*q - 468. What is the greatest common divisor of q and 52? 26 Let p(a) = 11*a**2 - 11*a + 11. Let o be p(4). Calculate the greatest common divisor of o and 11. 11 Let m(h) = -5*h**3 - 7*h - 3. Let i(d) = d**3 + 3*d + 1 - 4*d + d. Let p(z) = 6*i(z) + m(z). Let f be p(3). What is the highest common divisor of 27 and f? 9 Let j = -896 - -1751. What is the highest common divisor of 95 and j? 95 Let n = 84 - 211. Let s = -31 - n. Suppose w - 3*c = 4*w - 144, 0 = 2*w - c - s. What is the greatest common divisor of 16 and w? 16 Suppose 8 = 3*q - n, 2*q - 2*n = 4*q. Suppose -5*w - 390 = -5*g, -2 = -q*w - 4. What is the highest common divisor of 11 and g? 11 Let w = 1 - 0. Suppose 0 = -6*s + 13 - w. What is the highest common factor of 1 and s? 1 Suppose 0 = 5*p - 530 - 10. Let a = -16 + 18. Suppose k = a*k - 12. Calculate the greatest common factor of k and p. 12 Let b be 14/42 - (1 + (-14)/3). Suppose 0 = b*o - 8, -3*r = o - 6*o - 197. Calculate the greatest common divisor of 46 and r. 23 Let r be 1/3 - 53/(-3). Suppose -r = -2*i + 6. Calculate the highest common divisor of 8 and i. 4 Let y = -135 - -154. Suppose 9*t = y*t - 80. What is the highest common divisor of 136 and t? 8 Let o(j) be the first derivative of -j**3/3 - 9*j**2/2 - 13*j - 4. Let z be o(-6). Calculate the greatest common divisor of z and 55. 5 Let y(l) = -8 - 2*l + 5 - 4*l + 4. Suppose 0 = -5*x - 32 + 7. Let f be y(x). What is the highest common factor of 31 and f? 31 Suppose 8*p - 257 = 1871. Calculate the greatest common divisor of 56 and p. 14 Let c be (-17306)/(-289) + 30/(-34) + 1. What is the greatest common divisor of c and 690? 30 Let t = 19 - -23. Suppose 6*f + 15 = f, 0 = -2*v + 2*f + 14. Suppose -o - t = -v*o. What is the greatest common divisor of o and 28? 14 Let p be 10/(5/(-30)*4). Let g = 59 + p. What is the highest common factor of 66 and g? 22 Suppose 2*r - 42 = -4*a + 4*r, 0 = -2*r - 6. Suppose -v - p = -24, -5*p - 1 - 14 = 0. What is the greatest common divisor of v and a? 9 Suppose 26 = 4*a - 22. Suppose -4*c - a = 0, -5*c + 63 = r - 2. Let u be (240/(-180))/((-4)/30). Calculate the greatest common factor of r and u. 10 Suppose 0 = 5*d + 2*k + 3*k - 425, -4*d + 4*k = -340. What is the highest common factor of 272 and d? 17 Let y = -65 - -81. Let z = -1 + 17. What is the highest common factor of z and y? 16 Let j = -638 - -669. Calculate the highest common divisor of j and 837. 31 Suppose -2*t - 2 + 7 = n, 0 = 4*t. Suppose 0 = -46*i + 34*i - 41*i + 2915. What is the greatest common factor of n and i? 5 Suppose -4*t = 4*r + 8, 0*r - 2*t - 4 = 5*r. Suppose r = -21*g + 22*g - 9. Calculate the greatest common factor of g and 18. 9 Let v(l) = 479*l + 65. Let q be v(1). Calculate the highest common factor of q and 8. 8 Suppose -4*z + 5*j + 712 = -213, -5*z + 2*j + 1135 = 0. Calculate the greatest common factor of z and 9. 9 Let a = 201 + -159. What is the highest common divisor of 66 and a? 6 Let f be (-2)/(-5) - ((-11298)/30 + -1). Suppose -4*a = 3*a - f. Calculate the greatest common factor of 36
{ "pile_set_name": "DM Mathematics" }
5389? 27 What is the highest common divisor of 14224 and 64? 16 What is the highest common factor of 4960 and 2201? 31 Calculate the greatest common factor of 64859 and 237. 79 Calculate the greatest common factor of 129973 and 69. 23 What is the highest common factor of 1164518 and 618? 206 What is the greatest common factor of 33689 and 11991? 571 Calculate the highest common factor of 486882 and 99. 99 Calculate the highest common divisor of 8380 and 3610. 10 What is the greatest common divisor of 10179 and 16211? 377 Calculate the greatest common divisor of 12691 and 8251. 37 Calculate the greatest common divisor of 15792 and 36. 12 Calculate the highest common factor of 255 and 10635. 15 Calculate the highest common factor of 33587 and 1. 1 What is the highest common factor of 512 and 48640? 512 Calculate the highest common divisor of 3068730 and 30. 30 What is the highest common factor of 18308 and 15522? 398 What is the greatest common factor of 11940 and 930? 30 What is the highest common divisor of 217580 and 2860? 220 What is the greatest common divisor of 2366487 and 58? 29 Calculate the greatest common factor of 1102368 and 1344. 96 Calculate the greatest common factor of 503132 and 2380. 476 Calculate the greatest common divisor of 3211 and 39. 13 What is the highest common factor of 19195 and 297? 11 What is the greatest common factor of 4565 and 1079? 83 What is the greatest common factor of 1076301 and 27? 27 Calculate the greatest common divisor of 12925 and 122200. 1175 Calculate the greatest common divisor of 6273 and 218858. 697 What is the greatest common divisor of 150 and 111900? 150 Calculate the highest common divisor of 63043 and 1932. 23 What is the greatest common factor of 15320 and 2681? 383 What is the greatest common divisor of 159462 and 81? 27 What is the highest common factor of 2736 and 7828? 76 Calculate the highest common divisor of 119753 and 31. 31 Calculate the greatest common factor of 464 and 20752. 16 Calculate the highest common divisor of 1358150 and 253. 23 What is the highest common factor of 86400 and 5200? 400 Calculate the greatest common factor of 4554 and 14283. 207 What is the greatest common divisor of 599283 and 27? 9 What is the greatest common divisor of 11 and 57926? 11 Calculate the highest common divisor of 294812 and 140. 28 What is the greatest common divisor of 745877 and 22? 11 Calculate the greatest common factor of 22671 and 660. 33 Calculate the greatest common divisor of 19116 and 357894. 1062 What is the greatest common divisor of 78392 and 4264? 328 Calculate the greatest common factor of 80928 and 18827. 281 Calculate the highest common factor of 1484 and 364. 28 What is the greatest common factor of 2786530 and 10? 10 Calculate the greatest common divisor of 3223 and 20510. 293 Calculate the greatest common divisor of 4329 and 273. 39 What is the greatest common divisor of 275 and 82045? 5 What is the greatest common divisor of 32610 and 195? 15 What is the highest common divisor of 990 and 1676070? 990 What is the highest common factor of 5798 and 39? 13 What is the highest common divisor of 16244 and 2511? 31 What is the highest common divisor of 106 and 104993? 53 What is the greatest common divisor of 3332 and 31? 1 What is the highest common factor of 144387 and 207? 9 Calculate the highest common divisor of 21243 and 657. 219 What is the highest common factor of 2112 and 272096? 352 Calculate the greatest common factor of 22 and 208703. 11 What is the greatest common divisor of 112970 and 79? 79 Calculate the highest common divisor of 7471 and 16647. 31 What is the greatest common divisor of 373856 and 224? 224 Calculate the greatest common factor of 529176 and 2040. 408 What is the greatest common divisor of 147970 and 5? 5 What is the greatest common factor of 696 and 7337? 29 What is the greatest common factor of 1292 and 116892? 68 Calculate the highest common factor of 255 and 30855. 255 What is the greatest common divisor of 3339 and 160902? 63 Calculate the greatest common factor of 5056 and 1106. 158 What is the greatest common divisor of 3552 and 154068? 444 Calculate the highest common divisor of 1900 and 74575. 475 What is the greatest common divisor of 304 and 46968? 152 What is the greatest common divisor of 2000544 and 2688? 672 Calculate the greatest common divisor of 335444 and 34. 34 Calculate the greatest common divisor of 84 and 2207814. 42 Calculate the highest common divisor of 1030 and 12566. 206 Calculate the highest common divisor of 36162 and 26166. 294 Calculate the highest common factor of 12 and 147172. 4 Calculate the highest common divisor of 6572241 and 234. 117 Calculate the greatest common factor of 21983 and 3263. 13 What is the highest common divisor of 5721985 and 127? 127 What is the greatest common divisor of 11328 and 5184? 192 What is the greatest common divisor of 1590 and 23373? 159 Calculate the greatest common factor of 36 and 50031. 9 Calculate the highest common divisor of 50130 and 408838. 1114 Calculate the highest common factor of 6885 and 13345. 85 Calculate the highest common divisor of 1206020 and 1283. 1283 Calculate the greatest common factor of 14 and 7567. 7 What is the greatest common factor of 4407 and 113565? 339 What is the greatest common divisor of 385 and 1331? 11 Calculate the greatest common divisor of 4152133 and 29. 29 Calculate the greatest common factor of 18670 and 5. 5 What is the greatest common factor of 612 and 2232? 36 Calculate the greatest common factor of 120063 and 186. 93 Calculate the highest common divisor of 153 and 464406. 51 Calculate the highest common divisor of 114840 and 11352. 264 What is the greatest common divisor of 87348 and 16? 4 Calculate the greatest common factor of 156 and 16428. 12 Calculate the greatest common divisor of 5439 and 374255. 259 What is the highest common divisor of 54 and 206154? 18 Calculate the highest common factor of 18 and 606. 6 Calculate the greatest common divisor of 247 and 7475. 13 What is the greatest common divisor of 2583 and 2331? 63 Calculate the greatest common divisor of 1232 and 924. 308 What is the highest common divisor of 1700014 and 964? 482 What is the greatest common factor of 10419 and 1359? 453 Calculate the highest common factor of 91 and 634361. 91 What is the highest common factor of 605 and 166672? 11 What is the highest common factor of 84226 and 46? 46 Calculate the highest common factor of 3685 and 94269. 67 What is the highest common factor of 9195 and 18570? 15 What is the highest common divisor of 84 and 410732? 28 What is the greatest common divisor of 57569 and 23? 23 Calculate the greatest common divisor of 712 and 212354. 178 What is the highest common divisor of 3230 and 1870? 170 What is the highest common divisor of 210 and 17418? 6 Calculate the highest common divisor of 81 and 61866. 9 Calculate the greatest common divisor of 2242 and 14174. 38 What is the highest common factor of 85812 and 9? 3 Calculate the highest common factor of 22 and 908567. 11 What is the greatest common factor of 480 and 2081760? 480 Calculate the greatest common factor of 4439 and 1104. 23 What is the highest common divisor of 10220 and 8484? 28 What is the greatest common divisor of 29578 and 4501? 643 Calculate the highest common divisor of 545361 and 6. 3 Calculate the highest common factor of 228 and 2598117. 57 Calculate the greatest common factor of 1864 and 793132. 932 What is the greatest common factor of 190451 and 374? 17 What is the greatest common factor of 2319 and 14125029? 2319 What is the greatest common factor of 26961 and 4191? 33 Calculate the greatest common factor of 63908 and 156. 52 What is the highest common divisor of 53741 and 2257? 61 Calculate the greatest common factor of 6018 and 114. 6 What is the greatest common divisor of 226 and 298? 2 What is the highest common divisor of 194049 and 3456? 27 What is the greatest common divisor of 4422 and 1078? 22 Calculate the greatest common divisor of 1004 and 7248378. 502 What is the greatest common divisor of 19985 and 10955? 35 Calculate the highest common factor of 27 and 1002. 3 What is the greatest common divisor of 1260 and 29736? 252 Calculate the g
{ "pile_set_name": "DM Mathematics" }
9*m + 11. Let l be t(1). Let f(y) = l*y + 295*y**2 - 2*y - 351*y**2. Let a(g) = -3*g**2. Give a(f(r)). -9408*r**4 Let o(b) = -4*b**2. Let d(g) be the first derivative of -200*g**3/3 - 1046. Determine d(o(q)). -3200*q**4 Let p(v) be the third derivative of -2/15*v**5 + 0*v**3 + 0*v**4 + 2*v**2 + 0*v - 21. Let l(f) = -5*f**2. Calculate p(l(t)). -200*t**4 Let y(f) = 24*f. Let p(i) = -2314 + 1154 + 1160 - 10*i - 32*i. Give y(p(c)). -1008*c Let a(y) = -11786*y**2 + 5889*y**2 + 5898*y**2. Let g(o) = -2073*o. Give a(g(c)). 4297329*c**2 Let c(p) = -12*p**2. Let s(r) be the second derivative of 0*r**2 + 32 - 4/3*r**3 + 2*r. Calculate s(c(d)). 96*d**2 Let g(r) = -81*r + 1. Let s(t) be the first derivative of -33*t**2/2 + 1348. Determine g(s(p)). 2673*p + 1 Let y(b) be the third derivative of -b**4/6 + 21*b**2 - 2*b - 7. Let t(z) = 370*z**2 + 4. Determine t(y(d)). 5920*d**2 + 4 Let v(w) = -6074*w - 228. Let o(z) = -96783115*z - 3632895. Let i(p) = -4*o(p) + 63735*v(p). Let b(u) = -3*u. What is b(i(h))? -18210*h Let c(b) be the first derivative of -5*b**3/3 - 1886. Let m(x) = -317*x. Give c(m(o)). -502445*o**2 Let d(v) = 15*v. Suppose -1 = 2*p - 13. Suppose p = 3*a - 4*o - 6, 5*a - 20 = -3*o. Let x(n) = a*n - 8*n + 2*n. Give d(x(u)). -30*u Let w(m) = 11419*m**2 - 3*m + 3*m - 11423*m**2. Let h(i) = i**2 - 13*i + 16. Let s be h(12). Let q(k) = -s*k**2 - 5*k - k + 6*k. Determine w(q(x)). -64*x**4 Suppose 3*n - 2 = 13. Let v(i) = -i**3 + 4*i**2 + 5*i + 6. Let f be v(n). Let l(m) = 4*m - f*m + 3*m. Let k(t) = -13*t. What is k(l(c))? -13*c Let i(c) = 7*c - 3. Let z(g) = 14*g - 5. Let d(w) = -5*i(w) + 3*z(w). Let u(r) = -34*r + 69*r - 27*r - 21*r. Determine u(d(b)). -91*b Let c(m) = -476727*m**2. Let f(o) = -27*o. Calculate c(f(d)). -347533983*d**2 Let c(k) = 2*k**2. Let m(n) = -782031*n. Give c(m(z)). 1223144969922*z**2 Let g = -23 - -31. Let x(b) be the first derivative of 2*b**2 + 0 + g*b**2 - 7. Let i(p) = 2*p**2. What is i(x(c))? 800*c**2 Let b(t) = -6781*t. Let c(p) be the second derivative of -p**3/3 + 6*p + 187. Give c(b(k)). 13562*k Let s(u) = 20*u**2. Let h(l) = -4 + 82*l - 96*l + 1. Calculate h(s(j)). -280*j**2 - 3 Let u(r) = -1226*r + 1226*r + 15 + 2*r**2. Let y(h) be the first derivative of 2*h**3/3 - 2. Give u(y(p)). 8*p**4 + 15 Let n(g) = -43 + 31*g - 36 - 14*g - 41 + 167 - 44. Let r(v) = 0*v - 3*v + 2*v. Give r(n(b)). -17*b - 3 Let q(y) = -803*y + 1250*y - 549*y + 22. Let z(j) = -j. Determine z(q(u)). 102*u - 22 Let v(k) = 302*k**2. Let x be 1/(0 - 1/2). Let o(a) = 3*a**2 + 2*a - 6. Let s(b) = -10*b**2 - 7*b + 21. Let q(z) = x*s(z) - 7*o(z). Calculate q(v(c)). -91204*c**4 Let g(c) = -21*c**2 - 12. Let w(b) = 2*b**2 + 2. Let l(m) = -g(m) - 6*w(m). Let t(d) = -d + 5. What is t(l(j))? -9*j**2 + 5 Let q(h) = -76*h - 2. Let f(s) = s - 663. Give f(q(m)). -76*m - 665 Let j(q) be the first derivative of -37*q**2/2 - 336. Let f(w) = -2*w - 1 + 1. What is j(f(v))? 74*v Let b(m) = -133425*m. Let z(h) = -25*h**2. Determine z(b(q)). -445055765625*q**2 Let g(i) = -i. Let n(q) = 110490293*q**2. Calculate g(n(c)). -110490293*c**2 Let h(f) = -275681*f. Let p(t) = -2*t - 320. Determine p(h(y)). 551362*y - 320 Let h(i) = -192113*i**2. Let q(t) = 29*t**2. Give q(h(n)). 1070314738301*n**4 Let k(y) be the second derivative of y**5/15 - 13*y**2/2 + 70*y. Let h(t) be the first derivative of k(t). Let j(a) = -16*a. Calculate h(j(r)). 1024*r**2 Let u(o) = 4*o. Let p(z) = -4458*z - 152. Let i(t) = -1486*t - 57. Let n(h) = -8*i(h) + 3*p(h). What is u(n(a))? -5944*a Let c(p) = 2983326*p**2. Let f(d) = -13*d. Calculate c(f(r)). 504182094*r**2 Let g(s) = -13*s**2 - 9*s**2 + 65*s**2 - 14*s**2. Let l(x) = 5*x + 3. Let q(p) = -14*p - 8. Let z(a) = -8*l(a) - 3*q(a). Give z(g(d)). 58*d**2 Let u(q) = 2*q**2. Let b(z) = 2291*z - 2291*z - 2596*z**2. Calculate b(u(y)). -10384*y**4 Let z(x) = 29137*x**2. Let h(t) = 3*t**2 + 25*t. Calculate h(z(i)). 2546894307*i**4 + 728425*i**2 Let m(k) = -k. Let s(t) = -3*t**2 - 8143595*t. Calculate m(s(v)). 3*v**2 + 8143595*v Let b(r) = r - 46 + 14 + 28 - 1. Let l(g) = 6*g. Let d(f) = -4*f. Let w(j) = -8*d(j) - 5*l(j). Determine b(w(u)). 2*u - 5 Let t(b) = -9*b - 21. Let m(h) = 2*h + 5. Let y(o) = -21*m(o) - 5*t(o). Let p(r) be the second derivative of -19*r**3/6 - 2681*r. Calculate p(y(a)). -57*a Let u(t) = t. Let a be 5979/45 + (-16)/(-120). Let f(n) = a*n**2 - 253*n**2 + 126*n**2 - 7. Calculate f(u(b)). 6*b**2 - 7 Let j(g) = 101*g**2. Let k(n) = -157*n**2 - 30*n - 15. Let o(z) = -73*z**2 - 14*z - 7. Let d(h) = 14*k(h) - 30*o(h). Calculate d(j(c)). -81608*c**4 Let u(o) = -1765*o**2 - 2*o + 1764*o**2 + 2*o. Let w(k) be the first derivative of -k**2/2 - 12*k - 6. Determine u(w(h)). -h**2 - 24*h - 144 Let f(c) be the first derivative of -4*c**3/3 - 169. Let m(n) = 30*n**2. Give f(m(l)). -3600*l**4 Let f(q) = -220222*q. Let p(k) = 551*k. What is p(f(a))? -121342322*a Let u(i) = 338*i - 162*i - 151*i - 128*i - 56*i. Let k(y) = 2*y. What is u(k(j))? -318*j Let h = 126/235 - -92/705. Let w(d) be the first derivative of -h*d**3 + 0*d + 0*d**2 - 6. Let n(y) = -2*y. Calculate w(n(u)). -8*u**2 Let h(k) = -195*k**2. Let s = 485 + -483. Let p(y) = -73*y - 82*y + 155*y + 2*y**s. Determine h(p(m)). -780*m**4 Let a(x) = -55*x - 2. Let y(n) = 16953*n**2. Determine a(y(g)). -932415*g**2 - 2 Let v(x) = -210487 + 210487 + 2*x + 12*x. Let s(l) = 21*l**2 - 119*l - 119. Let a(g) = -g**2 + 6*g + 6. Let w(q) = 119*a(q) + 6*s(q). What is w(v(j))? 1372*j**2 Suppose 4*z - 4*q + 10 - 22 = 0, 3*q - 40 = -4*z. Let f(n) = -2 + 9 - 4*n - z. Let h(i) = -5*i. Determine f(h(w)). 20*w Let v(d) = 30*d**2 - 36*d + 4. Let r(a) = -59*a**2 + 81*a - 9. Let g(t) = -4*r(t) - 9*v(t). Let b(l) be the first derivative of 5*l**2/2 - 21. Give g(b(h)). -850*h**2 Let r(k) = k**2 + 21*k - 64. Let i(j) = 2*j + 7. Give r(i(t)). 4*t**2 + 70*t + 132 Let v(f) = -6*f**2. Let i = 24 - 20. Let r(c) = -20*c + i*c - 5 + 8*c. Let g(z) = -z - 1. Let u(m) = -10*g(m) + 2*r(m). Give v(u(x)). -216*x**2 Let c(f) = -21*f - 1224. Let z(p) = 35*p. Calculate c(z(v)). -735*v - 1224 Let b = 150 + -117. Let j(k) = -44*k - 3*k - b*k. Let i(u) = 5*u. What is i(j(p))? -400*p Let n(j) = -6*j. Let t(o) = -41*o - 109. Determine n(t(i)). 246*i + 654 Let w(b) = 35*b - 7 - 3*b**2 - 112*b - 480*b + 4. Let a(l) = 2*l. Calculate a(w(z)). -6*z**2 - 1114*z - 6 Let o(f) = -15*f. Let y(g) = 78*g**2 + 113*g**2 - 71*g**2 - 2*g + 2*g. What is y(o(d))? 27000*d**2 Let l(n) = 21298*n**2 - 2. Let c(h) = -h**2. Give l(c(a)). 21298*a**4 - 2 Let j(x) = x. Let w(h) = -16*h - 1 + 29*h + 4. Let z(p) = 25*p + 5. Let r(y) = -10*w(y) + 6*z(y). What is r(j(o))? 20*o Let m(n) = 3*n. Let l(t) = -144*t**2 + 10*t - 21. Let b(i) = -48*i**2 + 3*i - 6. Let f be (-28)/6*21/14. Let a(p) = f*b(p) + 2*l(p). Determine a(m(x)). 432*x**2 - 3*x Let r(w) = -9693868*w + 36008. Let u(a) = -2692*a + 10. Let q(z) = 5*r(z) - 18004*u(z). Let d(k) = 2*k**2. Determine q(d(v)). -5144*v**2 Suppose 0 = 8*o + 1365 - 3725. Let n = o - 77. Let v(m) = -n + 218 + 3*m. Let p(j) = 5*j**2. Determine v(p(g)). 15*g**2 Let p(q) = -300*q. Let r(l) be the third derivative of -l**4/4 + 132*l**2 - l. Calculate p(r(a)). 1800*a Let h(z) be the first derivative of -17*z**2 - 753. Let i(q) = -32*q**2. What is h(i(u))? 1088*u**2 Let j(w) be the first derivative of w**2/2 - 2. Suppose 0 = 40*f - 42*f + 130. Let r(z) = -f + 130 - 15*z - 65. Give r(j(t)). -15*t Let v(j) = 253*j. Let x(q) = 28*q. Let c(i) = 5*v(i) - 44*x(i). Let u(b) = 395 - 1249 + b - 8*b + 854. What is c(u(w))? -231*w Let t(h) be the second derivative of 0*h**3 + 56*h + 0 + 0*h**2 + 1/6*h**4. Let o(f) be the second derivative of f**4/6 - 2*f. Calculate t(o(i)). 8*i**4 Let s(u) = -10*u**2 - 24. Let i(z) = 14*z. Let k(j) = -3*j. Let d(f) = i(f) + 5*k(f). Determine s(d(h)). -10*h**2 - 24 Let y(b) = -b**2. Let c(j) be the first derivative of 3546*j**2 - 2*j + 1983. Calculate y(c(n)). -50296464*n**2 + 28368*n - 4 Let c(v) = -2*v**2 - 1403*v. Let d(q) = -52652 + 52652 + q**2. Determine c(d(t)). -2*t**4 - 1403*t**2 Suppose 342 = 10*z - z. Suppose z*w = 37*w + 2. Let d(a) = -6*a**2 - 7*a**w + 5*a**2. Let x(r) = -r. Determine d(x(c)). -8*c**2 Let j(w) = -7*w. Let c(y) = 18050636 + 291*y - 18050636. Calculate j(c(s)). -2037*s Let x(t) = -t. Le
{ "pile_set_name": "DM Mathematics" }
47 What is the next term in 615, 705, 797, 891? 987 What is the next term in 11, 38, 89, 170, 287, 446, 653, 914? 1235 What is the next term in -16810, -33576, -50342, -67108, -83874, -100640? -117406 What is the next term in -1241, -2579, -3917? -5255 What is the next term in -38, -1903, -5596, -11117? -18466 What is the next term in -728, -614, -414, -122, 268, 762? 1366 What comes next: 2214, 8850, 19910, 35394? 55302 What is next in -1319116, -1319113, -1319110, -1319107, -1319104, -1319101? -1319098 What comes next: 120659, 241288, 361883, 482426, 602899? 723284 What is the next term in -2139, -3564, -3561, -1416, 3585, 12156? 25011 What is next in -7345, -7335, -7313, -7273, -7209, -7115, -6985? -6813 What comes next: 15, -49, -171, -351, -589? -885 What comes next: -1066, -1831, -2590, -3343, -4090? -4831 What is the next term in 41, 178, 409, 734, 1153? 1666 What is next in -2484, -2446, -2388, -2310, -2212? -2094 What comes next: -82878, -165744, -248610, -331476? -414342 What comes next: -41233, -41226, -41215, -41200, -41181? 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-5830727 What is the next term in -6010, -12103, -18196, -24289? -30382 What is next in 534, 813, 1092? 1371 What is next in -635, -5146, -17413, -41324, -80767, -139630? -221801 What is the next term in -155, -395, -831, -1559, -2675, -4275? -6455 What is next in 38, 108, 222, 380, 582, 828? 1118 What comes next: -2636, -2989, -3588, -4439, -5548, -6921? -8564 What comes next: -6789461, -6789463, -6789465, -6789467? -6789469 What is the next term in -14218, -57209, -128860, -229171? -358142 What is the next term in 276, 526, 776, 1026, 1276, 1526? 1776 What comes next: 2500, 4984, 7468, 9952? 12436 What is the next term in 92, 240, 432, 662, 924, 1212? 1520 What is next in -147, 1028, 4217, 10428, 20669? 35948 What is the next term in 20, 85, 196, 353, 556, 805, 1100? 1441 What comes next: -99, 266, 631, 996, 1361? 1726 What comes next: -110, -94, -24, 100, 278, 510? 796 What is the next term in -269499, -539002, -808505, -1078008? -1347511 What comes next: 5, 57, 113, 173, 237? 305 What is the next term in -2625, -9578, -20873, -36516, -56513, -80870? -109593 What is next in 99, 109, 119, 129, 139, 149? 159 What comes next: -103, -1004, -3443, -8188, -16007? -27668 What is next in -19, -79, -169, -301, -487? -739 What is the next term in -7247570, -7247572, -7247574, -7247576, -7247578? -7247580 What comes next: -107566, -215139, -322712, -430285, -537858? -645431 What is next in 40846, 81712, 122578? 163444 What comes next: 507, 1028, 1549, 2070? 2591 What comes next: 186, 764, 1722, 3060, 4778, 6876, 9354? 12212 What is next in 8994, 35980, 80956, 143922, 224878, 323824? 440760 What is next in -96, -205, -324, -447, -568, -681, -780? -859 What comes next: 158058, 316115, 474172, 632229? 790286 What comes next: 22895, 22889, 22883, 22877, 22871? 22865 What is the next term in -3956, -3985, -4016, -4049, -4084, -4121? -4160 What comes next: 436632, 436633, 436634, 436635, 436636, 436637? 436638 What is the next term in -27, -30, -27, -18, -3, 18? 45 What comes next: -13453, -54004, -121589, -216208, -337861, -486548? -662269 What comes next: -7614, -15177, -22740? -30303 What is the next term in 40916, 40923, 40934, 40949, 40968, 40991? 41018 What is next in -707, -1395, -2079, -2759, -3435? -4107 What comes next: -60446, -60444, -60442, -60440, -60438, -60436? -60434 What comes next: 5541, 11048, 16561, 22080, 27605, 33136? 38673 What is next in 214838, 214835, 214832? 214829 What is next in -2183, -2192, -2213, -2252, -2315? -2408 What is next in -3710, -3694, -3678? -3662 What is next in -1057, -1108, -1199, -1336, -1525, -1772? -2083 What is next in -219, -583, -1091, -1749, -2563, -3539, -4683, -6001? -7499 What is the next term in 349526, 699046, 1048564, 1398080? 1747594 What is next in -763, -3206, -7303, -13054, -20459, -29518? -40231 What is next in 1371, 2780, 4189, 5598, 7007, 8416? 9825 What is next in -4586, -4585, -4584? -4583 What comes next: 43, 111, 7, -449, -1437, -3137? -5729 What is the next term in -75, -110, -157, -216, -287, -370? -465 What is next in 21147, 42296, 63445, 84594, 105743? 126892 What is next in -25838, -25842, -25848, -25856? -25866 What is the next term in 39621, 39643, 39665? 39687 What is the next term in -2, -74, -256, -608, -1190, -2062, -3284? -4916 What comes next: 139, 465, 977, 1669, 2535, 3569, 4765? 6117 What is the next term in 941, 1562, 2075, 2474, 2753? 2906 What comes next: -132796, -265574, -398352, -531130, -663908, -796686? -929464 What is next in -377393, -754782, -1132171, -1509560, -1886949, -2264338? -2641727 What comes next: 64291, 128595, 192897, 257197? 321495 What comes next: 155883, 155897, 155935, 156009, 156131? 156313 What is the next term in -1571, -6333, -14291, -25457, -39843, -57461? -78323 What comes next: -750, -699, -614, -495, -342, -155, 66? 321 What is the next term in 33051, 66085, 99113, 132135? 165151 What comes next: -10802, -21599, -32396, -43193? -53990 What is next in -1059, -2120, -3181, -4242? -5303 What is next in 356, 339, 324, 323, 348, 411, 524, 699? 948 What is the next term in 3886, 3852, 3818, 3784? 3750 What comes next: -62137, -62147, -62169, -62209, -62273, -62367? -62497 What is the next term in 5913, 11823, 17737, 23655, 29577, 35503? 41433 What comes next: -1652, -1533, -1408, -1271, -1116, -937, -728? -483 What is next in 7713, 15254, 22795, 30336, 37877? 45418 What comes next: -1924, -7438, -16630, -29500, -46048? -66274 What comes next: -72000, -72008, -72028, -72066, -72128? -72220 What comes next: -38, -65, -132, -251, -434, -693, -1040, -1487? -2046 What is the next term in 707, 754, 833, 944? 1087 What comes next: 967, 1948, 2933, 3922, 4915, 5912? 6913 What is the next term in -87, -100, -121, -150, -187? -232 What is next in -8256669, -8256671, -8256673? -8256675 What is next in -2635, -5298, -7963, -10630, -13299, -15970, -18643? -21318 What is the next term in -854, -1687, -2520, -3353, -4186, -5019? -5852 What is next in -2564, -2580, -2596? -2612 What is the next term in -136, -298, -494, -724, -988? -1286 What is the next term in -457, -584, -711, -838, -965, -1092? -1219 What is the next term in -30708, -30871, -31142, -31521? -32008 What is the next term in -43, -25, 21, 101, 221, 387, 605, 881? 1221 What is next in -1810, -3497, -5068, -6529, -7886? -9145 What comes next: -7365, -29515, -66447, -118167, -184681, -265995, -362115, -473047? -598797 What comes next: 99, 261, 483, 759, 1083, 1449, 1851, 2283? 2739 What comes next: -757, -844, -995, -1216, -1513, -1892, -2359, -2920? -3581 What is the next term in 727803, 727808, 727815, 727824, 727835? 727848 What is next in 37687, 150769, 339239, 603097, 942343, 1356977, 1846999? 2412409 What comes next: -449, -853, -1269, -1697, -2137, -2589, -3053? -3529 What is the next term in 34100, 34102, 34104, 34106, 34108, 34110? 34112 What comes next: 1163713, 1163709, 1163703, 1163695, 1163685, 1163673, 1163659? 1163643 What is the next term in 3797, 7592, 11387? 15182 What is the next term in 2526, 2523, 2520, 2517, 2514, 2511? 2508 What comes next: 5372, 10739, 16100, 21455? 26804 What is the next term in -784, -1465, -2146, -282
{ "pile_set_name": "DM Mathematics" }
9/42? 13607454 What is the common denominator of 199/179130 and -32/217515? 3045210 Calculate the common denominator of -163/595650 and -16/361. 595650 What is the common denominator of -123/47600 and 1/114240? 571200 Calculate the common denominator of 29/2 and 33/9430. 9430 Find the common denominator of 95/2 and -81/324442. 324442 Calculate the smallest common multiple of 10836628 and 12. 32509884 What is the lowest common multiple of 91 and 3696? 48048 Calculate the common denominator of 151/6090 and -19/777. 225330 What is the lowest common multiple of 143080 and 22484? 1573880 Calculate the smallest common multiple of 44 and 127212. 1399332 Calculate the common denominator of -23/11457 and 1/1036222. 9325998 What is the common denominator of 32/27919 and 40/279? 7789401 Find the common denominator of -145/48 and 41/144. 144 Calculate the lowest common multiple of 777 and 1813. 5439 What is the common denominator of -3/5005 and -74/9625? 125125 What is the least common multiple of 504 and 72576? 72576 What is the smallest common multiple of 2 and 57590? 57590 Find the common denominator of -26/4363 and 21/181. 789703 Find the common denominator of -36/52073 and -37/14878. 104146 What is the common denominator of 29/87075 and -19/6075? 261225 What is the common denominator of -133/744 and 67/8649? 69192 What is the common denominator of -12/78781 and 83/4? 315124 What is the common denominator of -7/42556 and 101/21278? 42556 Calculate the common denominator of 51/5696 and -103/31328. 62656 Calculate the common denominator of -55/1404 and 37/312. 2808 Find the common denominator of -95/16 and -57/12112. 12112 What is the common denominator of 99/8 and 59/322768? 322768 What is the common denominator of -46/15597 and 55/3466? 31194 What is the common denominator of 6/68851 and 17/2221? 68851 What is the common denominator of -113/29708 and 149/18? 267372 Find the common denominator of -111/448 and 51/364. 5824 Calculate the common denominator of -75/388 and -35/108. 10476 What is the least common multiple of 81586 and 10735? 407930 Find the common denominator of -53/718287 and -123/10. 7182870 Calculate the lowest common multiple of 22 and 242032. 2662352 What is the common denominator of -61/35520 and 59/358752? 3587520 Calculate the common denominator of 37/3360 and -31/840. 3360 Calculate the lowest common multiple of 1720 and 130. 22360 Calculate the common denominator of -145/24 and -38/585. 4680 What is the common denominator of 34/2599 and 13/40? 103960 Calculate the least common multiple of 21740 and 14. 152180 Calculate the common denominator of 65/63204 and -13/1374. 63204 What is the least common multiple of 1204128 and 226? 1204128 Calculate the common denominator of -43/103295 and 103/1280858. 6404290 Find the common denominator of -74/16887 and 77/151983. 151983 What is the common denominator of 13/315 and 143/30? 630 What is the smallest common multiple of 3537 and 10611? 10611 Calculate the least common multiple of 785 and 2041. 10205 Find the common denominator of 79/266042 and 51/152024. 1064168 Find the common denominator of 121/2520 and 191/2520. 2520 Find the common denominator of 67/576 and -67/1624. 116928 Calculate the common denominator of 91/11520 and -127/2592. 103680 What is the smallest common multiple of 159987 and 11? 1759857 Calculate the lowest common multiple of 5016 and 35112. 35112 Find the common denominator of 22/28917 and 19/35. 144585 What is the least common multiple of 5760 and 8352? 167040 Calculate the lowest common multiple of 663 and 10387. 31161 Calculate the lowest common multiple of 149978 and 4. 299956 Find the common denominator of 107/2050 and -137/334560. 1672800 What is the lowest common multiple of 66 and 55500? 610500 Find the common denominator of 17/12 and -23/6687. 26748 Find the common denominator of -113/8470 and 101/3080. 33880 Find the common denominator of -155/3648 and 43/128. 7296 What is the common denominator of -81/260 and -58/91? 1820 What is the common denominator of 21/503024 and 21/32? 1006048 What is the lowest common multiple of 81696 and 163392? 163392 What is the least common multiple of 224 and 1421? 45472 Calculate the smallest common multiple of 1689 and 361. 609729 Calculate the lowest common multiple of 1368 and 58653. 469224 What is the common denominator of -127/48950 and -133/146850? 146850 What is the common denominator of -41/210 and -29/480? 3360 What is the least common multiple of 75623 and 106194? 4991118 Find the common denominator of -145/12 and 73/9498. 18996 What is the common denominator of 49/438213 and 5/1659? 3067491 Calculate the lowest common multiple of 206115 and 2. 412230 Calculate the lowest common multiple of 9 and 1248297. 3744891 What is the least common multiple of 32 and 201568? 201568 What is the common denominator of 48/5 and -30/1307? 6535 Calculate the lowest common multiple of 858 and 36. 5148 What is the common denominator of -11/144 and -47/11888? 106992 What is the common denominator of 101/19840 and 39/248? 19840 Calculate the least common multiple of 25 and 11650. 11650 Calculate the smallest common multiple of 9867 and 258336. 2841696 Find the common denominator of -163/58608 and -47/74592. 820512 Calculate the smallest common multiple of 322 and 684. 110124 Calculate the least common multiple of 4095 and 2610. 237510 What is the common denominator of 68/10293 and -29/3? 10293 Calculate the lowest common multiple of 6160 and 7840. 86240 Calculate the smallest common multiple of 6 and 11604. 11604 Find the common denominator of 89/13542 and -11/81252. 81252 What is the smallest common multiple of 272 and 5776? 98192 Calculate the lowest common multiple of 2721 and 134236. 402708 What is the smallest common multiple of 44 and 1230? 27060 Find the common denominator of 119/298040 and -71/1102748. 11027480 Calculate the common denominator of 68/21735 and 157/43470. 43470 Find the common denominator of 77/153 and 121/13932. 236844 What is the smallest common multiple of 2204 and 190? 11020 Calculate the common denominator of 54/17 and 29/76394. 1298698 Calculate the lowest common multiple of 30 and 120915. 241830 Calculate the common denominator of 109/66312 and 37/99468. 198936 What is the least common multiple of 1080 and 525690? 2102760 Find the common denominator of 53/2400 and -73/38400. 38400 What is the common denominator of 137/175872 and 63/16? 175872 What is the common denominator of -19/7 and 23/25587? 179109 Calculate the common denominator of -21/50 and 57/250. 250 Find the common denominator of -73/480 and -109/576. 2880 Calculate the least common multiple of 204 and 29920. 89760 What is the lowest common multiple of 40672 and 246? 122016 What is the common denominator of 16/63729 and 13/21243? 63729 What is the smallest common multiple of 449369 and 603? 4044321 Calculate the lowest common multiple of 27 and 26466. 238194 What is the smallest common multiple of 16 and 5245? 83920 What is the smallest common multiple of 81121 and 5? 405605 Calculate the common denominator of -127/186 and -127/110. 10230 Find the common denominator of -157/28518 and -53/10864. 228144 Calculate the lowest common multiple of 616 and 73920. 73920 What is the smallest common multiple of 5014 and 1816? 4552712 Calculate the lowest common multiple of 11055 and 17688. 88440 Calculate the common denominator of -15/172 and 43/1120. 48160 Find the common denominator of 93/10 and -109/3872602. 19363010 What is the common denominator of 7/8 and 53/22719? 181752 What is the smallest common multiple of 32 and 6652? 53216 Calculate the least common multiple of 104448 and 2720. 522240 Calculate the lowest common multiple of 4266 and 18486. 55458 Calculate the lowest common multiple of 60749 and 32711. 425243 Calculate the common denominator of -32/17613 and 5/38. 35226 Find the common denominator of 23/1060 and -157/225780. 225780 What is the least common multiple of 216 and 62? 6696 What is the common denominator of 59/396 and -85/44418? 266508 What is the common denominator of -115/434 and 123/37324? 37324 Calculate the least common multiple of 19885 and 7503. 3638955 Find the common denominator of 23/80 and -57/140. 560 What is the least
{ "pile_set_name": "DM Mathematics" }
268 What is the second derivative of -105269811*j**5 + 11*j - 2293780? -2105396220*j**3 What is the derivative of -5864*f**3*z + 22010982*f**3 + f*z**2 - 762*z**2 wrt z? -5864*f**3 + 2*f*z - 1524*z Find the third derivative of -3577124*b**4 + 252747*b**2 wrt b. -85850976*b Find the first derivative of -3*k*l**3 - 8*k*l*m + k*l + 9431*k*m - l**3*m + 4*l*m - 249606*l wrt k. -3*l**3 - 8*l*m + l + 9431*m Find the third derivative of -294*p**2*q**3 + p**2*q**2 + 10722*p**2*q - 365*p*q + 193973*q**6 wrt q. -1764*p**2 + 23276760*q**3 What is the derivative of -330303494*r - 700382415 wrt r? -330303494 What is the first derivative of -1036478*s**4 + s**3 + 2*s**2 + 21522135? -4145912*s**3 + 3*s**2 + 4*s Find the third derivative of -490870986*t**5 + 51*t**2 + 344*t - 1305 wrt t. -29452259160*t**2 Find the second derivative of 258941*m**4 + 6*m**3 + m**2 - 3*m - 1591279. 3107292*m**2 + 36*m + 2 Find the third derivative of -13*f**6 + 2229325*f**3*k + 14*f**2*k - 34*f**2 + f + k - 7737 wrt f. -1560*f**3 + 13375950*k Differentiate 5*l**4 + 26*l**3 + 292*l**2 - 7*l + 26340787 wrt l. 20*l**3 + 78*l**2 + 584*l - 7 What is the third derivative of -4594539*t**4 + 2*t**2 - 109589*t + 85? -110268936*t Find the third derivative of -22936*q**5 + 123*q**4*v + q**2 + 20880*q*v - q - 2*v - 1 wrt q. -1376160*q**2 + 2952*q*v Find the second derivative of -15205767*k**5 + k + 228161 wrt k. -304115340*k**3 Find the third derivative of -687452456*x**6 - 51201*x**2 + 30 wrt x. -82494294720*x**3 What is the derivative of -1893*d**3 - 2*d**2 - 90*d - 5127618? -5679*d**2 - 4*d - 90 Find the first derivative of -29*h*q**3 + 489715*h*z - 4*q**3 - 833*q**2*z + 4*q**2 + 3 wrt h. -29*q**3 + 489715*z Find the second derivative of k**4 - 17815886*k**3 - 2*k**2 + 5332640*k + 2 wrt k. 12*k**2 - 106895316*k - 4 What is the second derivative of 9393616*c**2*s**3 + 6*c*s**3 - 4*c - 8*s**2 - 122 wrt c? 18787232*s**3 Find the second derivative of -293*v**3 - 1673*v**2 - 838272*v wrt v. -1758*v - 3346 What is the second derivative of 40281155*b**3 - 106390198*b wrt b? 241686930*b Find the third derivative of o**4 + 12521783*o**3 + 185131*o**2 - 13*o. 24*o + 75130698 Find the third derivative of -5437284*w**3 + 103461*w**2 - 2*w. -32623704 Differentiate -4279689*k*y**2 - 4602648*k - y**3 - 2 wrt y. -8559378*k*y - 3*y**2 Find the first derivative of 273254618*d - 151091463. 273254618 Find the third derivative of 35205*n**3*u**3 + 9*n**3*u**2 - 7*n**3*u + 2*n**2*u**3 + 10150327*u**3 wrt n. 211230*u**3 + 54*u**2 - 42*u What is the first derivative of 187*d**2*p**3 + 484*d**2 + d*p**3 + 15*p**3 + 231*p**2 - 21*p wrt d? 374*d*p**3 + 968*d + p**3 What is the derivative of 4996598*k**4 + 4*k**2 - 44949321? 19986392*k**3 + 8*k What is the second derivative of 1797*f*g**2 + 2960*f*g + 28079*f + 20778*g**2 wrt g? 3594*f + 41556 What is the third derivative of -87984826*r**3 + 9827738*r**2 + 2 wrt r? -527908956 What is the derivative of -28054880*m + 12406095 wrt m? -28054880 Find the third derivative of 22241835*a**3 + a**2 + 2*a + 40063. 133451010 Find the second derivative of -48637297*s**4 - 9089671*s. -583647564*s**2 Find the third derivative of -2813701*s**5 + 7566*s**2 - s - 29 wrt s. -168822060*s**2 What is the third derivative of 33*h**3*j**4 + 191369*h**3*j**3 - 129*h**3 - 13*h*j**2 - 378*j wrt j? 792*h**3*j + 1148214*h**3 What is the first derivative of -572215512*d**2*u + 160237673*d**2 wrt u? -572215512*d**2 What is the second derivative of 1746*f**4 + 224577*f**3 - 418343518*f wrt f? 20952*f**2 + 1347462*f What is the second derivative of 628284*q**4 - 34*q**2 - 59228552*q wrt q? 7539408*q**2 - 68 Differentiate 543272700*n - 241691549. 543272700 What is the third derivative of -3646125*s**5 + s**3 + 131*s**2 - s - 25 wrt s? -218767500*s**2 + 6 Find the first derivative of -18*f**4 + 88995*f**3 + 4*f**2 + 21016315 wrt f. -72*f**3 + 266985*f**2 + 8*f What is the second derivative of -2*a*m**2 - 126*a*m + 43*a + 8896*m**3 + 927*m**2 - 3*m - 326 wrt m? -4*a + 53376*m + 1854 What is the third derivative of 65050001*t**5*y + 118*t**2*y - 9*t**2 + 367*t*y - 3*t + 2*y + 1 wrt t? 3903000060*t**2*y Find the first derivative of -5820768*n + 9853468 wrt n. -5820768 Find the first derivative of -124396881*h**4 - 5180956. -497587524*h**3 What is the third derivative of 77758*w**3 + 7131589*w**2? 466548 What is the derivative of 623*f*s**2 - 3*f*s - 284780*f - 466*s**2 - 8 wrt s? 1246*f*s - 3*f - 932*s Find the second derivative of 31730*h**2*n**2 - 2*h**2*n - 6*h**2 + 20*h*n**2 - 18*n**2 + n - 19868 wrt n. 63460*h**2 + 40*h - 36 What is the first derivative of -26907562*r**2 + 172446485 wrt r? -53815124*r What is the third derivative of -3628658*u**5 + u**3 + 217994616*u**2? -217719480*u**2 + 6 What is the second derivative of 1839*o**5*p**3 - 315*o**2*p**3 - 98466*o*p**3 + 2*o*p wrt o? 36780*o**3*p**3 - 630*p**3 Find the second derivative of 4902474*y**3 - 195972*y + 5. 29414844*y Find the second derivative of 10719886*v**4 + 2*v + 1084170 wrt v. 128638632*v**2 What is the third derivative of 25*h**4*y**2 - 23648*h**3*y**2 - 483*h**2*y + 5*h**2 + 3*h*y - 17*h + 3*y**2 wrt h? 600*h*y**2 - 141888*y**2 What is the derivative of -22665734*a**3 - 8598454 wrt a? -67997202*a**2 Find the second derivative of 212872036*k**2 - 21481278*k wrt k. 425744072 Find the second derivative of -11811697*c**2 - 1264208*c wrt c. -23623394 Find the third derivative of 1424*v**4 + 99518*v**3 + 224053484*v**2 wrt v. 34176*v + 597108 What is the third derivative of 5*k*u**3 + 7*k*u + 40*k - 80514*u**3 + u**2 + 12076*u wrt u? 30*k - 483084 What is the third derivative of -102826911*d**4 - 56*d**2 + 12009*d + 13? -2467845864*d What is the first derivative of -42084*u**2 + 105*u + 46307483 wrt u? -84168*u + 105 Find the first derivative of -580*g**4 - g**3 + 547*g**2 - 162454738 wrt g. -2320*g**3 - 3*g**2 + 1094*g What is the first derivative of 9286835*o*v + 2*o - 1303562 wrt v? 9286835*o Differentiate 14390524*q - 9456377 wrt q. 14390524 Find the third derivative of -3*b**5 - 22987*b**4 - 72*b**3 + 26507730*b**2. -180*b**2 - 551688*b - 432 Find the second derivative of -31447*v**5 - 319*v**4 + 45210412*v. -628940*v**3 - 3828*v**2 Find the second derivative of 213151*v**4 + 21*v**3 + 9050733*v. 2557812*v**2 + 126*v What is the third derivative of 169886308*g**6 - 252809330*g**2 wrt g? 20386356960*g**3 What is the third derivative of -2*c**4*l**2 + 9314196*c**3*l**3 + 245*c**2*l**3 - 624*c**2*l + 8*c*l + 4*l + 2 wrt c? -48*c*l**2 + 55885176*l**3 What is the derivative of 39*f**3 + 1221006*f**2 + 96896565? 117*f**2 + 2442012*f Find the third derivative of -4521945*u**3 + 791*u**2 + 1261*u + 1 wrt u. -27131670 Find the third derivative of -n**6 + 3453359*n**4 - 8*n**2 + 148299*n + 2. -120*n**3 + 82880616*n Differentiate 5855497*f**3*z + 62877773*f**3 - 5*f*z**4 with respect to z. 5855497*f**3 - 20*f*z**3 Find the second derivative of 25542715*q**2*t - 3366113*q*t - 31*t wrt q. 51085430*t What is the second derivative of 2*c**4 - 17*c**3*l - 312109*c**2 + 2007*c - l - 112482 wrt c? 24*c**2 - 102*c*l - 624218 What is the third derivative of -364675*r**4*y**3 - r**4*y - 476585*r**2*y**3 wrt r? -8752200*r*y**3 - 24*r*y What is the second derivative of 76299995*i**2 + 2*i + 52884051 wrt i? 152599990 Find the third derivative of 1339347*i**3*o + 10*i**3 - i**2*o + 20*i - 20884*o wrt i. 8036082*o + 60 What is the second derivative of 3474718*q*w**4 + 5*q*w**2 - 1898*q*w + 2*q - 890 wrt w? 41696616*q*w**2 + 10*q What is the derivative of 156*s**4 - 5105*s**2 + 2*s - 374299405 wrt s? 624*s**3 - 10210*s + 2 Differentiate -752347*i**2*q**3 - 2*i**2 + 4*q**3 + 39984 with respect to q. -2257041*i**2*q**2 + 12*q**2 What is the first derivative of -11*k*l**3*z + 2149289*k*l**3 - 1642997*l**3*z - l**2*z - 2*l*z wrt k? -11*l**3*z + 2149289*l**3 Find the first derivative of -8*a**3*f + 7*a**3 + 6930*a**2*f - 9*a - 82*f + 93731 wrt f. -8*a**3 + 6930*a**2 - 82 What is the second derivative of 11490878*b*k**5 - b*k**3 - 115574*b*k - 85*b wrt k? 229817560*b*k**3 - 6*b*k What is the second derivative of 28484700*a**3*y**3 + 3*a**3*y - 46*a**3 + a**2*y**3 + 5510*a**2*y - 41*y + 1 wrt y? 170908200*a**3*y + 6*a**2*y What is the first derivative of -30
{ "pile_set_name": "DM Mathematics" }
+ 3*b)*(-b - 4*b + 3*b) + (2*b + 4 - 4)*(4*b + 0*b - 2*b)). 6*b**2 Expand 1 + 2*y - y + y + (3 - 2 + 5)*(4*y - 2*y - y). 8*y + 1 Expand (-5*c - 2 + 2)*((-2 + 2 - 1)*(-1 + 5 - 3) + 0 - 2 + 4)*(-2*c + c - c). 10*c**2 Expand (2*u + 2*u - 2*u)*(0 + 4 - 2) + u + 0*u + 0*u - 8 + 8*u + 8. 13*u Expand (2 + 1 - 4)*(16*n - 13*n - 7*n)*(2*n**3 + 2*n**3 - 3*n**3). 4*n**4 Expand (-3 + 0 + 2)*(t - 2 - t + t). -t + 2 Expand -3*i + 2*i - i + (5*i - i + 0*i)*(1 - 1 - 1) - i + 4 - 4. -7*i Expand (2 + 4 - 4)*(-2*u + 4*u - 3*u)*(-4*u + 0*u + 2*u). 4*u**2 Expand (3*v - 5*v + 0*v)*(-8*v - v + 6*v) + (0*v - 3*v + 6*v)*(-v + 6 - 6). 3*v**2 Expand (-1 + 2 + 0)*(0 + 0 + c) + (-2*c - c + c)*(-12 - 1 + 0) + (-3 + 0 + 1)*(-5*c + 2*c + 2*c). 29*c Expand (f - f - f)*(-6*f + 3*f + 4*f) - 2*f**2 + 13*f**2 + 5*f**2 + 6*f**2 + 0*f**2 - 5*f**2 + (-2*f - 1 + 1)*(0 - f + 0). 18*f**2 Expand (3*n + 0*n - 5*n)*(-2*n + 13*n + 28*n). -78*n**2 Expand t - 2*t - t + 2*t - 5*t - t + 3*t - 2*t + 0*t + (4 - 2 + 0)*(5*t - 4*t - 3*t) - 3 + 4*t + 3 + 1 - 2*t - 1. -7*t Expand ((-2 + 3 + 0)*(1 - 5 + 3) - 1 - 1 + 1)*(15*m**3 + 15*m**2 - 15*m**2). -30*m**3 Expand (-4*l + 3*l - l)*(3*l**2 - 5*l**2 + 3*l**2 + 2*l). -2*l**3 - 4*l**2 Expand (2*v - 2*v + v**2)*(2*v**3 + v**2 + v**2 - 4*v**3 - 3). -2*v**5 + 2*v**4 - 3*v**2 Expand (2*u**2 - 2*u**2 - 5*u**3)*((2*u - 4*u + u)*(-u + 0*u + 2*u) + 2*u**2 + 0*u + 0*u + 3*u**2 + 1 - 1 + 0*u**2 - 3*u**2 + 4*u**2). -25*u**5 Expand (29 + 23 - 29)*(-n**5 - 3*n**5 + 2*n**5). -46*n**5 Expand (-4 - 3 + 8 - a)*(4 - 6 - 1). 3*a - 3 Expand (1 + 1 - 4)*(-4 + 4 + 2*v) - v + 0*v + 0*v + 6*v + 2*v - 6*v + 0*v + 2*v - 3*v + 2*v + 0*v - 4*v. -6*v Expand (0 - 28*p + 23*p - 1)*(-1 - 2 + 0). 15*p + 3 Expand 2*q**3 - 2*q**3 + q**3 - 2*q**3 + 0*q**3 + 3*q**3 + (q**2 - 3*q**2 + 4*q**2)*(5*q - q - 3*q) - 3*q**3 + 3*q**3 + q**3. 5*q**3 Expand (-x - x + 0*x)*(3 + 1 - 3) + 3*x + x - x + 1 + 4 + x - 3. 2*x + 2 Expand -a**4 - a**3 + a**3 + (2*a**2 - 3*a + 3*a)*(-5 + 2 - 4)*(2*a**2 + 0*a**2 + 0*a**2). -29*a**4 Expand 23*h**2 - 43*h**2 + 20*h**2 + 140*h**3 + (-1 + 1 - 2*h)*(-h**2 + 3*h**2 + 0*h**2). 136*h**3 Expand (2*f**2 - 3*f**4 - 2*f**2 + (4*f**2 - f**2 - 4*f**2)*(-4*f + 2*f**2 + 4*f))*(-4*f + 0*f + 2*f - 5*f + 5*f - 2*f + (2*f + f - 4*f)*(2 + 3 - 3)). 30*f**5 Expand (4 - 2 + 1)*(-6*f - 6*f + 4*f) + 1 + 4*f - f + 0. -21*f + 1 Expand (4 - 2 - 4)*(75*j**3 + 30*j**3 - 61*j**3). -88*j**3 Expand -2*y - y + 4*y + (-2 - 2 + 6)*(-2*y + y + 0*y) - y + y + 2*y + 2*y + y - 5*y + 0*y + 5*y + 4*y + 2*y + y - y + (-4 - 2 + 4)*(3*y - 2*y + y). 6*y Expand (3 + 3 - 4)*(11*f**4 - 7*f**4 - f**4). 6*f**4 Expand -4*w**4 + 0*w**4 + 2*w**4 + (-3*w**2 + 3*w**2 + w**2)*(-w**2 + w**2 - 2*w**2) - 4*w**4 - 2*w**4 + 0*w**4. -10*w**4 Expand (-8 + 8 - r**2)*(-2*r + 2 - 2) - 3*r**3 - r + r + r**3 + 0*r**3 - 2*r**3. -2*r**3 Expand (-6 + 6 - 4*t**2)*(-3 + 3*t + 4 - 3)*(4 - 1 + 1). -48*t**3 + 32*t**2 Expand (0*w + w**3 + 0*w)*(-5*w + 0*w + 4*w) - 18*w**2 + w**4 - 4*w**4 + 16*w**2 + (-2*w**3 + w - w)*(3*w + 0*w - w). -8*w**4 - 2*w**2 Expand 0*z - 3*z + 2*z + (9*z - 3*z + 5*z)*(1 + 3 - 3) + (0*z - 4*z + 2*z)*(0 + 1 + 1). 6*z Expand (-3*a + 3*a + a)*(-1 - 2 + 0). -3*a Expand -2*p**3 + 0*p**2 + 0*p**2 + (2*p**2 - 2*p**2 - p**3)*(3 - 1 - 3) + 4*p**3 + 2*p**3 - 4*p**3. p**3 Expand (-48 - g + 88 - 42)*(2*g**3 - 5*g**3 + 2*g**3). g**4 + 2*g**3 Expand (-2*h + 0*h + 3*h + (-6 - 4*h + 6)*(-1 - 1 + 0) - 2*h + 0*h + h)*(-4*h + 4*h + 2*h**2). 16*h**3 Expand 2*g**3 - 4*g**3 + 0*g**3 + (1 + 1 - 4)*(g**3 - g**2 + g**2). -4*g**3 Expand (3 - d**2 - 3)*(53*d**2 - 67*d**2 + 0*d**3 - 2*d**3 + 1). 2*d**5 + 14*d**4 - d**2 Expand (-x - 6*x + 0*x)*(-2*x**2 + 3*x**2 - 2*x**2) + 2 + x**3 - 2. 8*x**3 Expand ((3 + 1 + 0)*(-2*z**2 + 1 - 1) + (-1 + 1 - 2*z)*(2*z + 4*z - 5*z) + (-2 + 0 + 1)*(3*z**2 - 4*z**2 + 2*z**2))*(4*z**3 + 2*z**3 - 4*z**3). -22*z**5 Expand -4*v**2 + 3*v**2 - v**2 - 18*v**2 + 60 - 60 + (-2*v - v + 2*v)*(4*v - v - 2*v). -21*v**2 Expand (-15*j**3 + 79 - 79)*(2 - 4 + 3). -15*j**3 Expand (2*h**4 - 3*h**4 - 4*h**4)*(3*h + 4 - 4)*(-2 - 2 + 2). 30*h**5 Expand (-4*w + 0 + 2 - 3)*(-2*w + 5*w - w). -8*w**2 - 2*w Expand t**3 - t**3 + 2*t**3 + 2*t**3 + 2*t**2 + t - t - t + t + 2*t**3 + (-3*t**3 + 2*t**3 - t**3)*(5 - 4 + 1) + 2*t**3 - 5*t**3 - t**3. -2*t**3 + 2*t**2 Expand (m**3 + 0*m**3 + 0*m**3)*(9 - 2 + 4)*(8*m - 2*m - 2*m). 44*m**4 Expand (-4*c**2 + 2*c - 2*c)*(4 - 5 + 2*c**2 + 0*c**2) + 5*c**2 - 5*c**2 - c**4. -9*c**4 + 4*c**2 Expand (-r**4 + r**4 + r**4)*(r + 0 + 0) + (r + 0*r + 0*r)*(-7*r**3 + 7*r**3 + 13*r**4). 14*r**5 Expand (5*z**4 - 2*z**4 - 5*z**4)*(0 - 2 - 1)*(4 + 0 - 2). 12*z**4 Expand -v + 0*v - 2*v + (2*v + 2*v - 5*v)*(1 + 2 - 1) + 0*v + 3*v - v + (7 - 2 - 3)*(2*v - 2 + 2) + 0*v - 3*v + 2*v + 4*v + 13*v - 8*v. 9*v Expand ((l - 6*l + 3*l)*(4 + 2 - 3) + 5*l - 3*l - l)*(3 + 2 - 4). -5*l Expand (10*r - 10*r - 12*r**4)*(1 + 0 + 0)*((0 - 1 + 0)*(-1 + 1 + 1) - 1 + 1 - 1). 24*r**4 Expand 3*d**2 + 0*d**2 - 2*d**2 + 4*d**2 - 2*d**2 - 3*d**2 + (2*d - 5*d + 2*d)*(-3*d + d + 3*d) + 3*d**2 - 5*d**2 + 0*d**2 + 3*d**2 - d - d**2 + 2*d**2. d**2 - d Expand (0*r**2 + 2*r**2 - r**2)*(-10*r**3 + 28*r**3 - 6*r**3). 12*r**5 Expand (2 - 2 + 2)*(-13*a**5 + 5*a**3 - 10*a**3 + a**5). -24*a**5 - 10*a**3 Expand (k**2 + 0 + 0)*(0 + 0 - 1)*(0*k - k + 3*k). -2*k**3 Expand (-2 - 2*k**5 + 2)*(1 - 2 + 0) + k**5 + k**4 - k**4 + 4*k**3 - 4*k**3 - k**5 - k**5 + 0*k**4 + 3*k**5 - 3*k**4. 4*k**5 - 3*k**4 Expand -4*x**2 - 3 + 2*x**2 + 0*x**2 + (-3*x**2 + 4*x - 4*x)*(2 - 1 - 2). x**2 - 3 Expand (-2*a - a + 4*a)*((-1 + 2 + 1)*(-1 + 1 + 2) - 3 - 1 - 3 + (-3 + 0 + 2)*(-7 + 3 + 2))*(-5*a + a**2 + 5*a). -a**3 Expand (4*i + 3 - 3)*(-1 + 0*i - 2*i - 1) - 5*i**2 + 0*i**2 + 4*i**2. -9*i**2 - 8*i Expand (-2 - 2 + 2)*(m + m + 0*m + 4 + 2*m - 4 + (1 - 2*m - 1)*(-5 + 1 + 2)) + 0*m - 2*m + m + (-1 + 1 - 1)*(4 - 4 - 2*m) + 3 + m - 3 - 2*m - 3*m + 4*m. -15*m Expand (-t - 3*t + 2*t)*((t - 4 + 4)*(4*t - 4*t - t) + 0*t**2 + 5*t**2 - 2*t**2). -4*t**3 Expand (3*q - 5*q + 3*q + (-1 - 1 - 2)*(0 - 3*q + 0))*(0*q - 2*q**4 + 0*q). -26*q**5 Expand (-16 - 17*w**2 + 16)*(-2 + 3 - 2)*(2*w - 2*w + 2*w**2). 34*w**4 Expand (-3*t - 3*t + 2*t)*(5*t**2 - 2*t**2 - 4*t**2) - t**3 + 4*t**3 - 2*t**3. 5*t**3 Expand (4*l**2 - 43*l**2 - 4*l**2)*(2 - 6 + 2). 86*l**2 Expand -20*v - 21*v**2 + 20*v + 0*v**2 - 3*v**2 + 4*v**2 - 2*v**2 + 3*v**2 - 2*v**2 + (0*v - 2*v + v)*(-3 - 2*v + 3). -19*v**2 Expand (n**2 + 2 - 2)*(-n**3 + n**3 + n**3) + (-2*n**4 + 7*n**3 - 7*n**3)*(6*n - 2*n + 0*n). -7*n**5 Expand (h + 4*h - 2*h)*(0 + 4 - 2) - 3 - 5*h + 3. h Expand (-u**2 + u - u)*(-u + 3*u + 4 + 0*u). -2*u**3 - 4*u**2 Expand (-4*b**2 + 3*b**2 - b**2)*((0 + 4 - 5)*(-2*b - 2*b + 5*b) - 17*b - b - 4*b). 46*b**3 Expand (-3*z**2 - 4*z**2 + 5*z**2)*(95 - 95 + 5*z**2) + z**4 + 2*z**4 - 4*z**4. -11*z**4 Expand -u**4 + 3 - 3 + 3*u - 3*u - 2*u**4 + (0 + 0 - u)*(0*u**2 + 0*u**2 - 2*u**3) - 2 - u**4 + 2. -2*u**4 Expand (p**2 + 2*p**2 - 2*p**2)*(p + 0 - 2 + 3). p**3 + p**2 Expand (3*d + 0*d - d)*(-2*d**4 - 1 + 1) - 8*d**3 - 2*d**3 - 17*d**5 + 14*d**5. -7*d**5 - 10*d**3 Expand (2*h - 12*h**2 - 2*h)*(3*h + h - 2*h) + 2*h**3 + 0*h + 0*h. -22*h**3 Expand (-1 - 4 + 4)*(s + s + 0*s)*(-5 + 2 + 1)*(-3 + 4 + 3)*(4 + 0 - 2). 32*s Expand 2*c**3 - c + c + (1 - 2*c**2 - 1)*(12 - 12 + 6*c). -10*c**3 Expand (11*p - 31 + 4*p + 30)*(-4 + 0 + 3). -15*p + 1 Expand (2 - 2 - 1 + 2 + 1 - 1 + (-1 + 1 - 2)*(0 - 1 - 1) - 2 - 1 + 4 + 1 + 2 - 2 + 8 - 6 - 12)*(4*p**2 - 3*p**2 - 4*p**4 + 3*p**4). 3*p**4 - 3*p**2 Expand ((-1 + 3 - 4)*(-1 - 2 + 1) - 3 + 4 + 1)*(2*o - 3 + 3) + 2 - 2 - 2*o. 10*o Expand (7*l - 60*l - 6*l)*(-l - 2*l + 4*l). -59*l**2 Expand (2*s + s - 5*s)*(8*s - s**4 - 9*s + 5*s). 2*s**5 - 8*s**2 Expand (p + 2*p + 0*p)*(-3 - 1 - 5)*(-1 + 3 - 3). 27*p Expand (7*d + 3*d + d)*(3*d + 0*d - 4*d). -11*d**2 Expand -2*t**4 + 2*t - 2*t + (-14 - 3 + 4)*(-2*t**4 + 3*t**4 + 0*t**4). -15*t**4 Expand (0 - 2 + 5)*((-2 - 1 + 5)*(m - 3*m + m) - 2 + 2 - 2*m + 2 - 4*m - 2). -24*m Expand (1 - 6 + 4)*(3*j - 3*j - 11*j**2). 11*j**2 Expand (6*s**3 - 2*s**2 + 2*s**2 + s**2)*(-1 - 1 - 2*s - 3). -12*s**4 - 32*s**3 - 5*s**2 Expand (0*c + c + c)*(-5 - 59*c - 15 + 61*c). 4*c**2 - 40*c Expand (3*y + y - 2*y)*(17*y - 6*y + 2*y)*(2 - 2 - 2). -52*y**2 Expand (1 + 94*f**2 + 2 - 84*f**2)*(-1
{ "pile_set_name": "DM Mathematics" }
n a(d) is divided by p. 14 Suppose -2*o - 18*o = -20. Suppose 5*n - o + 110 = 2*p, 3*n + 320 = 5*p. Calculate the remainder when p is divided by 17. 16 Let t be (2/8)/((-18)/936). Let c(d) = 2*d**3 + 27*d**2 + 13*d + 23. Calculate the remainder when c(t) is divided by 13. 10 Suppose -5*g - 60 = -m - 35, 11 = g + 3*m. Let n(y) = -3*y**3 + 16 - y**2 - 5*y**2 - 5. What is the remainder when n(g) is divided by 22? 19 Let u(r) = -r**2 - 58*r - 503. What is the remainder when 545 is divided by u(-12)? 6 Suppose 2*z + 3*n - 8 = 0, 6*z - 2*z + 3*n - 16 = 0. Let x = 12 + z. Suppose 5*s - 2*s = 237. Calculate the remainder when s is divided by x. 15 Let w(k) = -412*k + 14. Let h be w(-1). Suppose 11*x - 223 = h. What is the remainder when x is divided by 8? 3 Let w(v) = v**2 - v - 4. Let y be w(3). Suppose y*n + 68 = -2*n. Let k(p) = -p - 16. What is the remainder when 3 is divided by k(n)? 0 Suppose 6*j - 49 = -61. Let c = 42 - j. Calculate the remainder when 102 is divided by c. 14 Let s = -23 - -27. Suppose 0 = s*g - z - 70, -4*g + 4*z + 78 = -z. Suppose 0 = 2*f - 4*v - 0 - 18, 2*f - g = 3*v. What is the remainder when f is divided by 3? 1 Let c(n) = -n**3 + 48*n**2 + 212*n - 75. Calculate the remainder when 523 is divided by c(52). 124 Suppose t + 175 = 3*q - 39, -q + t + 72 = 0. What is the remainder when 1489 is divided by q? 69 Let p(r) = -22 - 37 + r + 2*r - 24 - 22. Calculate the remainder when 19 is divided by p(36). 1 Let q(g) = -19 + 42 - 10 - 13 + 5*g + g**2 - 43. Suppose -5*i = 8*x - 3*x - 65, 4*x - i = 27. What is the remainder when q(-11) is divided by x? 7 Suppose 0 = 2*j - 4*q - 242, -2*q + 379 = -j + 4*j. Suppose -j*g + 231 = -114*g. What is the remainder when g is divided by 14? 7 What is the remainder when 473 is divided by -3 + 13 - ((8 - 8) + 1)? 5 Let d be ((-408)/132)/(-17) - 53/(-11). Let h = -12 + 28. Let f = d + h. What is the remainder when 41 is divided by f? 20 Let h = -589 - -345. Suppose -15 = q - 12*x + 164, 0 = 3*q + 4*x - 103. What is the remainder when 4/2 + h/(-1) is divided by q? 12 Let i be -1*(-14670)/15*2/6. Let o = i - 306. What is the remainder when 38 is divided by o? 18 Let y be (-514971)/(-351) - 2/13. What is the remainder when (22/(-33))/(3 + (-4407)/y) is divided by 21? 16 Calculate the remainder when 3358 is divided by (0 + 3)/(-3 - (-1227)/306 - 1). 298 Suppose -83*s + 12 = -89*s. What is the remainder when ((-114)/(-18))/(s/(-30)) is divided by 34? 27 Let k be (-1)/(-2) - (-15)/(-30). Suppose -5*o = 2*z + 29 - 186, k = -4*z + o + 259. Let l = -218 + 253. Calculate the remainder when z is divided by l. 31 Let h = 719 + -701. What is the remainder when 755 is divided by h? 17 Suppose -7*x - 10871 = -136*x + 1900. Calculate the remainder when 197 is divided by x. 98 Let c(t) = -t + 4. Let n be c(2). Suppose 3 = n*q - 1. Suppose 7*f - 90 = q*f. Calculate the remainder when f is divided by 4. 2 Let m(p) = 14*p**2 + 16*p + 23. Let z(w) = 30*w**2 + 31*w + 45. Let g(o) = 13*m(o) - 6*z(o). Calculate the remainder when g(-11) is divided by 10. 9 Let f(r) = 136*r**2 - 4215*r + 13. Calculate the remainder when 724 is divided by f(31). 20 Calculate the remainder when 123*1*(5/3)/5 is divided by 43/2 - (14 - 377/26). 19 Let z(m) = 1057*m**2 + 404*m - 403. What is the remainder when z(1) is divided by 59? 55 Suppose -2*u = -19*b + 16*b - 414, 828 = 4*u - 5*b. What is the remainder when u is divided by 8? 7 Let m be 6*(-1)/(-2) - (-34 - -41). Let a(t) = -45*t - 158. Let g(y) = y**2 - 5*y - 1. Calculate the remainder when a(m) is divided by g(6). 2 Let w(z) = 755*z - 209. What is the remainder when w(4) is divided by 11? 6 What is the remainder when 973 is divided by 93/18 - ((-45)/9 - (-279)/54)? 3 Suppose 2*s = -328 + 196. Calculate the remainder when 547 is divided by (s + 8 + -3)/(1 + -2). 59 Let i = 7362 + -7346. What is the remainder when (-3)/(3/(-4*15)) is divided by i? 12 Suppose 0 = 12*c - 23*c + 6413. Suppose 7*x + 324 = c. What is the remainder when x is divided by 3? 1 Suppose 5*k - 163 - 8 = -3*q, 2*q + 5*k - 114 = 0. Suppose -4*l + 47 + 9 = 0. What is the remainder when (-16)/(-152) + 3699/q is divided by l? 9 Let t = 155 + -100. Suppose -2618 + 20735 = -33*f. Let g = 556 + f. Calculate the remainder when t is divided by g. 6 Let p(t) = 2*t**2 + 152*t + 1907. Suppose -v + 4*v = 48. What is the remainder when p(-61) is divided by v? 13 Suppose 0 = 5*g + 3*y - 340, g - y = 37 + 31. Calculate the remainder when g is divided by 60. 8 Suppose -27 + 2 = -3*p - u, -3*u = 15. Calculate the remainder when 248 is divided by p. 8 Let o be (-995)/(-20) - (-6)/24. Let s(j) = 26*j + 23*j - o*j + 17 - 7*j**2 + j**3. Calculate the remainder when 35 is divided by s(7). 5 Suppose -18*r - 15931 + 24229 = -25884. Calculate the remainder when r is divided by 112. 107 Suppose -b + 2*d = 3*d - 29, -60 = -2*b - 3*d. Calculate the remainder when b is divided by ((-6)/7)/((-68)/238) + 0. 0 Let r = -31544 - -31564. Calculate the remainder when 9337 is divided by r. 17 Suppose 45*t = -26*t + 10*t + 2440. Let f = 94 - -94. What is the remainder when f is divided by t? 28 What is the remainder when 1 + 50490 + (-117)/18*(-32)/52 is divided by 12? 11 Suppose 5*a = 8 + 22. Let r be (-52 + -6)*(-3 + 2). Let q = r + -29. Calculate the remainder when q is divided by a. 5 Let d = -984 - -1550. What is the remainder when d is divided by 25? 16 Let o = 298 + -299. Let n(j) = -11*j**3 - 4*j - 5. Calculate the remainder when -1*4*(-58)/8 is divided by n(o). 9 What is the remainder when 303 is divided by -6 + -3 + 3 + (19 - 30/(-3))? 4 Let x = 39 + -37. Suppose -5*g - 2*v = -30, 0 = -2*g - g + x*v + 18. Suppose s - 1379 = -g*s. Calculate the remainder when s is divided by 40. 37 Let o(j) = 77*j - 6389. Calculate the remainder when 445 is divided by o(83). 1 Suppose 16*a + 654 = 22*a. Suppose -4*n + a = -3*m, 5*n + 2*m - 128 = 3*m. What is the remainder when n is divided by 121/(-22)*(-1 - 1)? 3 Calculate the remainder when 711 is divided by 285/(-15) + (62 - -8). 48 Suppose -4*t + 338 = -2*t. Let v = t - 63. What is the remainder when v is divided by ((-32)/24)/(3/(-81)) - 0? 34 Suppose -1760 = -45*c + 100165. What is the remainder when c is divided by 67? 54 Suppose -140 = -21*m + 70. What is the remainder when 717 is divided by m? 7 Let m(k) = -k**3 - 84*k**2 - 39*k - 2925. Calculate the remainder when 1766 is divided by m(-84). 11 Suppose 0 = -37*w + 4657 - 587. Suppose -147 = -d - w. Calculate the remainder when 114 is divided by d. 3 What is the remainder when ((-14)/(-4))/((-36)/(-12024)) is divided by 81? 35 Let g = 496 - 320. Let w = g - 158. What is the remainder when 124 is divided by w? 16 Suppose -4*n + 369 = -576 - 335. What is the remainder when n is divided by 49? 26 Let m = 2330 + -2319. Calculate the remainder when (-2)/(-8) + 1720/32 is divided by m. 10 Let i(z) = -z**3 + 18*z**2 - 52*z + 2. Calculate the remainder when i(6) is divided by 14. 10 Let c(i) = -2*i**2 - 6*i - 2. Let m be c(-3). Calculate the remainder when m/12 + (-3582)/(-108) is divided by 17. 16 Let z(j) = 63*j + 182. Let x(c) = 7*c**2 - 2*c - 1. What is the remainder when z(1) is divided by x(-2)? 28 Suppose 44 = 2*m - 0. Let n(x) = 7*x + 558. What is the remainder when n(-39) is divided by m? 21 Let g(v) = -21*v - 5. What is the remainder when g(-7) is divided by (-2)/(-2) - (-559)/13? 10 Calculate the remainder when ((-14160)/(-3))/(190/(-38) - 81/(-15)) is divided by 319. 316 Let i(k) = -2*k**2 - 7*k + 22. Let m be i(-12). Let h = m + 188. What is the remainder when 7 is divided by h? 1 Let s(l) = 7*l**2 - 174*l - 714. What is the remainder when s(-4) is divided by 48? 46 Suppose -38 = -5*d - 3*z - z, 4*d - 2*z - 46 = 0. Suppose 0 = -d*r - 314 + 2404. What is the remainder when r is divided by 42? 41 Suppose t = 44 + 63. Let g(p) be the second derivative of -p**4/12 - 2*p**3 - 7*p**2 + 50*p - 1. Calculate the remainder when t is divided by g(-6). 19 Let l be (18/(-4))/9*-6. Suppose 0 = 2*y + 13 - l. Calculate the remainder when 93 is divided by 64*1*(y + 44/8). 29 Suppose -3*d - 91 = -j - 11, 0 = 4*j + 4*d - 368. Suppose 113 - j = 2*s. Suppose -5*f + 16 = -9. Calculate the remainder when s is divided by f. 2 Let q = 2671 - 2590. Calculate the remainde
{ "pile_set_name": "DM Mathematics" }
d 1 k. 1/55 Three letters picked without replacement from {b: 2, u: 2, c: 2, h: 3, q: 2, w: 5}. What is prob of picking 1 c and 2 h? 3/280 Two letters picked without replacement from {h: 4, e: 2, m: 3}. Give prob of picking 1 h and 1 e. 2/9 What is prob of picking 1 j and 2 m when three letters picked without replacement from {j: 12, m: 6}? 15/68 Two letters picked without replacement from {v: 4, k: 2, u: 4}. Give prob of picking 1 v and 1 k. 8/45 Three letters picked without replacement from nnssnnnnnnnn. What is prob of picking 2 s and 1 n? 1/22 Two letters picked without replacement from {x: 12, b: 6}. What is prob of picking 2 b? 5/51 What is prob of picking 3 g and 1 s when four letters picked without replacement from gssssgssssssgss? 4/455 Two letters picked without replacement from tttttjjttjjtttjttjt. What is prob of picking 2 j? 5/57 Two letters picked without replacement from xxpbxxgzpxgbxcx. Give prob of picking 1 b and 1 g. 4/105 What is prob of picking 1 v, 1 p, and 1 g when three letters picked without replacement from psbpbusvubupspbug? 1/170 Four letters picked without replacement from {t: 2, m: 8}. Give prob of picking 3 m and 1 t. 8/15 Two letters picked without replacement from fwqqwqqwqqqqqwfuq. What is prob of picking 1 u and 1 q? 5/68 Four letters picked without replacement from tffrtqqqfq. Give prob of picking 2 t, 1 f, and 1 r. 1/70 Two letters picked without replacement from qttytqqvquuqtuqtvy. What is prob of picking 1 q and 1 v? 4/51 Calculate prob of picking 2 w when two letters picked without replacement from {o: 1, y: 1, n: 2, w: 2}. 1/15 Three letters picked without replacement from {t: 1, x: 2, y: 1, c: 2, b: 1}. What is prob of picking 1 c, 1 x, and 1 b? 4/35 Three letters picked without replacement from {e: 4, t: 7}. What is prob of picking 3 t? 7/33 What is prob of picking 1 q, 1 j, and 1 o when three letters picked without replacement from jjqkjkjkgkjqgqjqjo? 7/204 What is prob of picking 2 r when two letters picked without replacement from {r: 5, x: 5}? 2/9 Two letters picked without replacement from ppprppprbpbp. What is prob of picking 1 r and 1 b? 2/33 Calculate prob of picking 2 v and 2 l when four letters picked without replacement from vlvlllllllv. 14/55 Three letters picked without replacement from ujplr. Give prob of picking 1 u, 1 r, and 1 p. 1/10 Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {n: 11, d: 1, y: 1, p: 1, k: 6}. 11/190 Three letters picked without replacement from wlwlxzzzwzwwiwwi. What is prob of picking 3 z? 1/140 What is prob of picking 2 v and 2 j when four letters picked without replacement from jjvvj? 3/5 Calculate prob of picking 3 w and 1 d when four letters picked without replacement from iwudidwidwdwww. 80/1001 What is prob of picking 1 u, 2 z, and 1 o when four letters picked without replacement from {q: 10, e: 1, u: 1, z: 4, o: 4}? 8/1615 Two letters picked without replacement from {b: 1, z: 2, i: 2, m: 2, c: 7, k: 2}. Give prob of picking 1 i and 1 k. 1/30 Three letters picked without replacement from dhhhddddhddhdhhhddhh. What is prob of picking 3 h? 2/19 Three letters picked without replacement from sssisiisiks. What is prob of picking 3 s? 4/33 Calculate prob of picking 4 l when four letters picked without replacement from illllillllilll. 30/91 Calculate prob of picking 1 u and 2 l when three letters picked without replacement from ppuupupuplppulpp. 1/112 What is prob of picking 4 x when four letters picked without replacement from xiixixxiiixxxi? 5/143 Calculate prob of picking 2 x when two letters picked without replacement from {x: 5, y: 2}. 10/21 Two letters picked without replacement from {b: 2, r: 2, j: 1, t: 1}. Give prob of picking 2 r. 1/15 Two letters picked without replacement from {k: 1, o: 1, e: 1, h: 1, s: 1}. Give prob of picking 1 o and 1 h. 1/10 Four letters picked without replacement from pipiiiiipiipp. Give prob of picking 2 p and 2 i. 56/143 What is prob of picking 1 d and 1 s when two letters picked without replacement from shthtudtsht? 2/55 Two letters picked without replacement from {v: 3, j: 1}. What is prob of picking 1 v and 1 j? 1/2 Calculate prob of picking 3 t and 1 m when four letters picked without replacement from tttttmttttm. 28/55 Calculate prob of picking 2 e and 2 l when four letters picked without replacement from leeeel. 2/5 Three letters picked without replacement from {f: 4, q: 3, x: 2, o: 5, z: 5}. Give prob of picking 2 f and 1 o. 10/323 What is prob of picking 2 i when two letters picked without replacement from iriiirirrwiiiwriir? 5/17 Three letters picked without replacement from xugpznuzgzzxnx. Give prob of picking 1 z and 2 u. 1/91 Calculate prob of picking 1 a and 2 j when three letters picked without replacement from jbawuej. 1/35 Two letters picked without replacement from pgddpdggfc. Give prob of picking 2 g. 1/15 Four letters picked without replacement from wwwuiwiwi. What is prob of picking 2 w, 1 i, and 1 u? 5/21 What is prob of picking 2 p when two letters picked without replacement from appapppppppp? 15/22 What is prob of picking 1 p and 1 h when two letters picked without replacement from ppphpppph? 7/18 Calculate prob of picking 1 r, 1 d, and 2 u when four letters picked without replacement from {r: 3, u: 3, a: 2, d: 5, e: 2}. 3/91 Four letters picked without replacement from {t: 4, l: 14}. Give prob of picking 2 l and 2 t. 91/510 Two letters picked without replacement from xivvvxxxvvxvvvxxxxxx. What is prob of picking 2 v? 14/95 Two letters picked without replacement from {u: 3, j: 2, z: 1, b: 5, a: 1}. Give prob of picking 1 j and 1 b. 5/33 Four letters picked without replacement from {e: 6, g: 1, h: 5, r: 2, n: 3, t: 2}. What is prob of picking 1 n, 1 h, 1 e, and 1 g? 15/646 Four letters picked without replacement from {o: 7, k: 2, l: 6}. What is prob of picking 4 l? 1/91 What is prob of picking 2 r and 2 f when four letters picked without replacement from mrfrfmrfrmfmmrr? 6/91 What is prob of picking 2 m, 1 f, and 1 s when four letters picked without replacement from {m: 2, n: 2, s: 1, f: 1}? 1/15 Two letters picked without replacement from xqjjjqjqj. What is prob of picking 1 q and 1 j? 5/12 Two letters picked without replacement from vwwwcamvavmw. What is prob of picking 1 a and 1 v? 1/11 Calculate prob of picking 2 l when two letters picked without replacement from llpllpllllljlplll. 39/68 What is prob of picking 3 v and 1 i when four letters picked without replacement from {h: 1, i: 5, v: 7}? 35/143 What is prob of picking 1 b and 1 c when two letters picked without replacement from bddbdcbdbddcdc? 12/91 Two letters picked without replacement from {r: 4, s: 3, b: 8, g: 4}. Give prob of picking 1 r and 1 b. 32/171 Four letters picked without replacement from jyajauzzzjyzauuazz. Give prob of picking 1 u, 1 j, and 2 z. 3/68 Calculate prob of picking 1 e, 1 f, and 2 v when four letters picked without replacement from {v: 3, e: 1, z: 1, q: 1, f: 1}. 3/35 Two letters picked without replacement from wwubwubdvdbwwddwwdvw. Give prob of picking 2 v. 1/190 What is prob of picking 2 m and 1 w when three letters picked without replacement from {w: 2, m: 4, x: 2, q: 1}? 1/7 Three letters picked without replacement from {r: 4, x: 1, i: 3, p: 5, o: 1, v: 1}. What is prob of picking 3 p? 2/91 Four letters picked without replacement from {o: 1, y: 1, w: 1, x: 9}. What is prob of picking 3 x and 1 o? 28/165 What is prob of picking 1 c and 2 z when three letters picked without replacement from ccccczzczzzz? 9/22 Two letters picked without replacement from {t: 5, l: 1, k: 5, v: 6}. Give prob of picking 1 v and 1 k. 15/68 Two letters picked without replacement from qqreekqqgqeezkq. Give prob of picking 1 r and 1 z. 1/105 Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {d: 1, f: 3, a: 4, k: 2, h: 1, s: 1}. 1/66 What is prob of picking 2 j and 1 s when three letters picked without replacement from jjjs? 3/4 Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {t: 3, k: 5, v: 7, u: 2}. 5/68 Three letters picked without replacement from rrrjjj. Give prob of picking 2 r and 1 j. 9/20 What is prob of picking 1 l and
{ "pile_set_name": "DM Mathematics" }