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parameterlab
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scaling_mia_the_pile_00_DM_Mathematics

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518
8.19k
meta
dict
2 - 4)*(-1 + 1 + r) - 2*r - 1 + 1 - 1 - 2*r + 1 + 0 - 2*r + 0)*(197804 - 197804 + 3783*r**2) to the form o*r + l*r**2 + f*r**3 + w and give f. -26481 Express -4*a**3 - 7*a**2 + 45*a**2 - 20*a - 36*a**2 - a**4 - 3 as n*a**2 + q*a**4 + d*a**3 + k*a + m and give q. -1 Express (-8*s - 4*s - s)*(7 - 3 - 7 + (-77 + 118 - 76)*(5 + 2 - 5)) in the form d + g*s and give g. 949 Rearrange 5*r - 30*r**3 + 764*r**4 - 1490*r**4 + 723*r**4 - 2 to l*r**3 + n + w*r + m*r**2 + i*r**4 and give n. -2 Express (2946*w + 4188*w - 1678*w)*(3*w**3 - w**3 - 3*w**3) in the form k + g*w + z*w**3 + r*w**2 + i*w**4 and give i. -5456 Express 0*l - 2*l + 6947 - 6141 as h + o*l and give o. -2 Express 4 + 538*h - 1 - 8*h + 1 in the form s*h + w and give s. 530 Rearrange (-193*s + 4633 - 4633)*(31 - 15 - 12) to the form d*s + z and give d. -772 Rearrange 58293*a - 58286*a + a**3 + 0*a**2 + 4 - 2*a**2 to the form s*a**3 + u*a**2 + i*a + m and give m. 4 Express (0 + 0 + 2*m**2)*(1889 - 8096 - 248 + (3 - 2 + 1)*(0 - 1 + 2) + 1 + 4 - 4)*(4*m + 2*m + 2 - 2) as v*m**2 + z*m**3 + l + s*m and give v. 0 Express -9*g**3 + 10*g + 3*g**2 + 7*g - 61*g - 2 + 28*g + 17*g as m*g + o*g**2 + k + j*g**3 and give m. 1 Express (-2 + 0 + 4)*(3*n**2 - 25*n**2 - 18*n**2) + (1 - 1 - 2)*(2*n**2 + 2*n**2 - 2*n**2) + 2*n**2 + n**2 - 2*n**2 in the form j*n + l*n**2 + i and give i. 0 Rearrange 32*c + 424*c + 8 - 202*c to the form b*c + p and give b. 254 Express (-17*v - 2*v**2 + 17*v)*(-5 + 0 + 4)*((1 - 2 + 0)*(-3 + 2 - 2) + 0 + 2 - 3) in the form k + a*v**2 + q*v and give a. 4 Express (-7*p - p + p)*(5 - 1 - 6) + (4*p - 9482 + 9482)*(0 - 3 + 0) as s*p + l and give s. 2 Express 144982 - 145011 - 5*r + 7*r + 11*r as c + v*r and give v. 13 Rearrange -1514*r**2 + 1513*r**2 + 55 - 775*r**3 - 58 to g*r + z*r**3 + p*r**2 + d and give p. -1 Express (3 - 5 + y - 1)*(838 + 92 - 435 + 823) in the form u*y + t and give t. -3954 Express 7*w**3 - 387*w + 73001*w**2 - 252*w - 73000*w**2 as x + p*w**2 + a*w + c*w**3 and give c. 7 Express (4 + 2*r - 4)*(1716 - r + 388 - 6060) as o*r**2 + j + p*r and give o. -2 Rearrange -222*a**3 + 28 + 87*a**2 - 86*a**2 + 286*a**3 to i*a + d + v*a**2 + j*a**3 and give v. 1 Rearrange (2*w - 2 + 2)*(-430 + 839 + 3790*w**2 - 409) to the form t*w + z*w**3 + o + j*w**2 and give z. 7580 Express (3*y**3 + 2*y - 2*y)*(-2689 + 5581 - 2187) in the form h*y**3 + l + c*y + m*y**2 and give h. 2115 Rearrange (-1574*m + 1574*m + 251*m**2)*(32*m - 2*m - 4*m - 1) to s + t*m**3 + h*m**2 + i*m and give h. -251 Express -5*s**3 + 3954*s**2 - 5*s + 4046*s**2 - 1 - 7903*s**2 in the form p + j*s**2 + d*s + t*s**3 and give t. -5 Rearrange (-j**2 + 9*j**4 + j**2)*(-6 - 9 + 4 + (-2 + 5 + 2)*(1 - 2 + 2)) - 2*j**2 - 2*j**4 + 2*j**2 to the form z*j**2 + q + f*j**3 + d*j + m*j**4 and give m. -56 Rearrange 11*p**3 + p**4 - 6991 + 11*p + 13973 - 6981 + 6*p**2 + 7*p**3 to f*p**4 + w + n*p + j*p**2 + m*p**3 and give j. 6 Rearrange (-6 + 3 + 1 + (-4 - 3 + 6)*(1 + 3 - 5) - 3 + 4 + 2)*(-37*i + 2 - 2745*i - 2 - 5580*i) to v + o*i and give o. -16724 Rearrange ((m - m + 2*m)*(-1 - 5 + 4) - m + 0*m + 0*m + m + 2*m + m)*(-2*m + 131 + 12 + 33) to y*m + c + t*m**2 and give t. 2 Rearrange 113 - 72 + 690*i**2 - 41 + 3*i - 13*i to h*i + u + v*i**2 and give v. 690 Rearrange -28*f - 105*f + 97*f to the form s*f + t and give s. -36 Rearrange (3*b - 35*b - 10*b)*(-b + 2 - 2)*(-2 + 1 + 10) to r*b**2 + d*b + k and give r. 378 Rearrange (-2*t + 8 + 0 + 3*t)*(-1 + 3 - 3)*(0 + 1 + 1 - 1 + 2 - 3 + (4 - 5 + 3)*(-3 + 2 + 0) + 0 + 4 - 6 + 129 - 44 + 81) to the form c + a*t and give a. -162 Express -228*t**4 - 21*t**3 + 2*t**2 - 241*t**4 + 472*t**4 + 2*t - 2 + 0*t**3 as h + z*t**3 + i*t**2 + f*t + b*t**4 and give i. 2 Express -187*p + 156*p - 238*p - 284*p in the form c*p + s and give c. -553 Express -692*p**3 + 2*p**4 - 636*p**3 + 1330*p**3 + 19 - p**2 + p**2 - 14*p in the form n*p**3 + q + w*p + l*p**2 + o*p**4 and give n. 2 Express -5169 + 32*l + 5*l**2 + 19*l**2 + 27*l**2 - 52*l**2 - 30*l as n*l**2 + x*l + w and give x. 2 Express (-3*i**2 - i**2 + 5*i**2)*(-3*i**2 + 2*i**2 + 3*i**2) + 21*i**4 - 24*i**4 - 108*i**4 in the form a*i**2 + m + y*i**4 + p*i + u*i**3 and give y. -109 Express b**2 + 341*b**3 + 365*b**3 - 710*b**3 - 261 as s*b + n*b**2 + y*b**3 + z and give y. -4 Express 2090*s**2 + 802*s**2 - 983*s**2 + 2891*s**2 as t*s**2 + l*s + o and give t. 4800 Rearrange (-4*d**2 + 0*d**2 + d**2 + (5*d**2 - 5*d**2 - d**2)*(2 + 2 - 2))*(7595 + 9788 - 4620 + 4093 + 4528) to a*d**2 + c*d + y and give a. -106920 Express -3*c**2 + 79 - 261 + 64 + c - 12 - 42 in the form h*c + j*c**2 + k and give k. -172 Express (-1 + 3*v + 1)*(1 - 3 + 5)*(3 + 1 - 5) + 2308*v - 611061 + 611061 as x + u*v and give u. 2299 Rearrange (10*w**2 - 5*w**2 - 3*w**2 - 26)*(263*w + 373*w - 218*w) to v + j*w**2 + t*w**3 + g*w and give t. 836 Express -7 - 145*k + 10 - 2 - 29*k - 167*k as c*k + y and give y. 1 Rearrange 3*h**3 + 0 - 2 + 7989*h**2 - 7738*h**2 + 3 - 3 to the form s*h**3 + g*h + d + t*h**2 and give g. 0 Express (-6114 - s**2 + 6058 + 4*s**2)*(2*s + 9*s + 7*s) as n + z*s**3 + d*s**2 + f*s and give f. -1008 Rearrange -3*t**3 + 47*t**2 - 8 - 16750*t + 16752*t - 10 + 12 to n + h*t + k*t**2 + p*t**3 and give p. -3 Express -1663 + 1253 + 3*l - l - 3404 as s + g*l and give g. 2 Express (51 - 32 - 19 - 1084*w**2)*(0*w + 0*w - 5*w**2) as b*w**3 + g + x*w**4 + a*w**2 + y*w and give x. 5420 Rearrange (t + t - 1 - 4)*(26 + 4 - 72)*(-30*t + 158*t - 4*t) to the form k*t + w*t**2 + l and give w. -10416 Rearrange -6*i + 3*i + 0*i + (-3*i - 4 + 4)*(-1 + 5 + 0) + (0*i + i - 2*i)*(6 + 3 + 22) to the form b*i + q and give b. -46 Rearrange -45*d**3 + 0*d**2 - 163054 + d - 2*d**2 + 163052 to j*d**2 + n*d**3 + g*d + y and give y. -2 Rearrange -24590*s**3 - 24*s**2 - 9 + s + 12292*s**3 + 12296*s**3 to j*s + g*s**2 + d*s**3 + r and give d. -2 Rearrange (0*q**2 - 2*q**2 - 3 + 2)*(23 - 5 + 56)*(25*q - 76*q - 24*q + q**2) to the form k*q**3 + w*q**4 + x + i*q + m*q**2 and give k. 11100 Rearrange 9662 + 21*h - h**3 + 0*h**3 - 34*h**2 - 9662 + 3*h**3 to n + s*h**3 + c*h + f*h**2 and give c. 21 Express (998 + 951 - 1885)*(1 - 1 - h) in the form p*h + i and give p. -64 Rearrange -20*y**2 - 20*y**2 - 2*y**2 + (-55 + 101 - 57)*(0*y + 0*y + 2*y)*(3*y - 6*y + y) to o*y + u + k*y**2 and give k. 2 Express (4 - 3 + 1)*(0 - 1 + 4 + (1 - 1 - 1)*(2 + 2 - 3))*(-25 - 22 + 18)*(-76 + 90 + g + 0*g) as w*g + r and give w. -116 Rearrange (-296 + 296 + 113*j)*(1 - 1 + 2*j)*(5 - 2 + 2 + (-1 + 4 - 5)*(0 - 4 + 0) + 0 - 3 + 5) to t*j + p + n*j**2 and give n. 3390 Express 13705*q**2 - 13705*q**2 + 1621*q**4 + (q**3 - q**3 - q**3)*(-4*q + 4*q + 2*q) as t*q + o*q**3 + f*q**2 + k*q**4 + c and give k. 1619 Rearrange -2*z + 180*z**2 + 2 - 94*z**2 + 858*z**3 - 215*z**3 - 88*z**2 to the form a*z**3 + o*z + t + k*z**2 and give a. 643 Rearrange -5072 + 40 + o + 1945 - 4422 to f + s*o and give f. -7509 Express -220*i - 10 + 222*i + 2*i**4 - 66*i**3 + 66*i**3 - 4*i**4 as z + x*i**3 + g*i**4 + o*i**2 + m*i and give m. 2 Express 3*h**2 - 4*h + 2*h + 2*h**2 + 60*h**4 + 46*h**4 - 128*h**4 - h**3 in the form x*h + y*h**3 + z*h**2 + k*h**4 + v and give x. -2 Express (-2 + 0 + 0)*(-2 + 1 + 0)*(-2025*d - 404925 + 404925 + (3 - 2 - 3)*(2*d + 2*d - 5*d)) in the form v*d + u and give v. -4046 Express (-9 - v + 26 - 18 - 3*v + 5*v + 0*v + (4 - 2 - 1)*(-v + 0*v + 4*v))*(-2*v + 4 + 7 - 3)*(-3 + 1 + 0) in the form j + p*v**2 + z*v and give j. 16 Express (-i - 2*i + 7*i)*(-2 + 5 - 2)*(10079*i - 20168*i + 10314*i) in the form l + s*i + w*i**2 and give w. 900 Rearrange 5*k**2 + 2*k**3 - 6*k**2 - k**4 - 7*k**3 + k**3 + 77*k to the form w*k**3 + m*k**2 + f*k**4 + r*k + t and give r. 77 Express (15*t - 39*t - 41*t)*(9 + 0 + 4) + (0 + 0 + t)*((3 + 0 - 2)*(-3 - 1 + 2) + (-3 + 1 + 4)*(-2 - 2 + 3)) as g + v*t and give v. -849 Express -3*d + 3*d**3 + 2*d**2 - 6 - 452*d**4 - 449*d**4 + 894*d**4 as t*d**4 + o*d**2 + c*d + l + x*d**3 and give o. 2 Express 578*n**2 - 2*n - 265*n**2 - 6052 + 4*n - 315*n**2 as z + i*n**2 + x*n and give x. 2 Express -70 - 41 - 11*p - 15*p + 16*p as z + l*p and give z. -111 Rearrange -784*z**2 - 3 + 0 + 3*z**4 + z**4 - 4*z + 779*z**2 - 7*z**3 + 4*z**3 to the form f*z + u*z**2 + k*z**4 + m + b*z**3 and give m. -3 Express -7*l**3 +
{ "pile_set_name": "DM Mathematics" }
-3 + 0 - 1450873*k**2 + 1450872*k**2 + 3. -k**2 Collect the terms in -531 + 1063 + 468*b + 7731*b - 532. 8199*b Collect the terms in -9*b**2 - 4 + 2 - 482*b - 6 + 137*b + 6. -9*b**2 - 345*b - 2 Collect the terms in -2794*w**3 - 1512*w**3 + 1266*w**3. -3040*w**3 Collect the terms in 3*h**2 + 9 - 9 + 4*h**2 - 10*h - 2*h**2 + 11*h. 5*h**2 + h Collect the terms in 24*n**2 - 150*n**2 + 31957895*n - 31957895*n. -126*n**2 Collect the terms in 3*r + 39 + 41 + 29 + 43 - 193 + 37. 3*r - 4 Collect the terms in -19 + 85978*j**3 + 79709*j**3 + 19 - j**2. 165687*j**3 - j**2 Collect the terms in -1694*r**2 - 851*r**2 - 2049*r**2 + 912*r**2. -3682*r**2 Collect the terms in 5 - 67*q - 141*q + 24 - 37. -208*q - 8 Collect the terms in 414 + 2457 - w + 1467 + 712. -w + 5050 Collect the terms in 4*q**2 + 1357 + 2588 - 122 + 11138. 4*q**2 + 14961 Collect the terms in 15 + 6*u**2 - 39*u**2 - 6*u**2 - 5*u**2 - 8*u**2 - 41*u**2. -93*u**2 + 15 Collect the terms in -434*z**2 + 120 + 214*z**2 + 217*z**2 - 2261*z. -3*z**2 - 2261*z + 120 Collect the terms in 509*c - 763*c + 19*c**2 + 465*c. 19*c**2 + 211*c Collect the terms in -8*u + 8*u + 1 - 197*u**2 + 381*u**2 - 227*u**2. -43*u**2 + 1 Collect the terms in 1615*f**3 + 1588*f**3 + 246*f**2 - 246*f**2. 3203*f**3 Collect the terms in 0*m + 0*m + 26848*m**2 - 305284*m**2. -278436*m**2 Collect the terms in -12903*r - 3 + 9 + 8 - 14. -12903*r Collect the terms in 8561*z - 8551*z - 1720 + 1732. 10*z + 12 Collect the terms in -23 + 23 - 7572472*w**2. -7572472*w**2 Collect the terms in -5*p + 68*p**3 + 33*p**3 - 16*p**3 + 4*p + 3*p. 85*p**3 + 2*p Collect the terms in -1571 + 451 + 370 - r**2 + 380 + 370. -r**2 Collect the terms in 0*t - 11*t**2 - t + 12*t**2 - 632 + 15*t**2. 16*t**2 - t - 632 Collect the terms in 7649 + 13737 + 16977 + 2*z**2 + 1284. 2*z**2 + 39647 Collect the terms in 7211*g - 168*g**2 + 54*g**2 - 7206*g + 12*g**3 - 27*g**3. -15*g**3 - 114*g**2 + 5*g Collect the terms in 2*h**3 - 11944514*h**2 + 5972254*h**2 + 5972260*h**2. 2*h**3 Collect the terms in -574*a - 13 - 24 + 307*a + 377*a. 110*a - 37 Collect the terms in -299 - 303 + 5*d**3 - 313 - 305 + 1224. 5*d**3 + 4 Collect the terms in 1249*a**3 + 1209*a**3 - 542*a**3 - 1912*a**3. 4*a**3 Collect the terms in 668271*f**2 - 668271*f**2 - 78*f**3. -78*f**3 Collect the terms in 2935 - 1472 - 1456 - 63*r + 90*r + 81*r. 108*r + 7 Collect the terms in -86461749606*l**2 - 86461749604*l**2 - 86461749599*l**2 + 259385248810*l**2. l**2 Collect the terms in 30 - 21771*r + 38765*r - 30 + 70756*r. 87750*r Collect the terms in -10*w**2 - 7*w - 16*w - 15*w + 26*w**2 + 14*w - 19*w**2. -3*w**2 - 24*w Collect the terms in -19*m - 17*m + 2 - 20*m + 134*m - 20*m - 57*m. m + 2 Collect the terms in 4128*t**2 - 1382*t**2 - 2748*t**2. -2*t**2 Collect the terms in -17190 + 1723 - 4432 + 5*x - 17*x**2. -17*x**2 + 5*x - 19899 Collect the terms in -1207*k + 2591*k + 424*k**2 - 1385*k. 424*k**2 - k Collect the terms in 1441 + 2*l - 2317 - 6961 + 1105 - 3559. 2*l - 10291 Collect the terms in 67*w**2 + 3*w**2 - 102*w**2 - 12 + 2*w**2 + 3*w**2 + 23*w**2. -4*w**2 - 12 Collect the terms in 195*s**3 - 2 + 1296*s**3 + 2 - 1498*s**3. -7*s**3 Collect the terms in 2712*h - 8112*h + 2680*h + 2720*h + 182*h**3. 182*h**3 Collect the terms in 3*i**2 + 4*i**2 + 72168*i**3 - 4*i**2 - 72172*i**3. -4*i**3 + 3*i**2 Collect the terms in -373962*k + 305317*k - 742512*k + 6 - 2. -811157*k + 4 Collect the terms in -6328*q - 6437*q + 12751*q. -14*q Collect the terms in -11598*n + 419*n**2 + 11596*n - 339*n**2. 80*n**2 - 2*n Collect the terms in 2*o**3 - 9*o**2 - 354*o - 351*o + 331*o. 2*o**3 - 9*o**2 - 374*o Collect the terms in -780 - 3*y - 1195 + 2755 - 780 - 6*y. -9*y Collect the terms in 613*s**3 + 17982*s + 75*s**2 + 692*s**3 - 17982*s - 75*s**2 + 2. 1305*s**3 + 2 Collect the terms in 617074 - 308592 - 308477 - 4*f. -4*f + 5 Collect the terms in 6*g**2 + 1675*g + 1725*g - 3*g**3 - 5*g**2 + 0*g**3. -3*g**3 + g**2 + 3400*g Collect the terms in -606*t + 3454*t + 2293*t + 0 + 0. 5141*t Collect the terms in -68116706*k**3 + 34058361*k**3 + 34058344*k**3. -k**3 Collect the terms in 3138756120750 - 3138756120750 - 3*o. -3*o Collect the terms in 121*l**2 + 794*l - 272*l - 275*l - 271*l. 121*l**2 - 24*l Collect the terms in -1203*u - 1560*u - 4075*u + 954*u. -5884*u Collect the terms in -7865*u**3 + 23622*u**3 - 7890*u**3 + 0*u**2 + 0*u**2 - 7880*u**3. -13*u**3 Collect the terms in -u + 117 + 19644*u**2 - u - u + 3*u - 19642*u**2. 2*u**2 + 117 Collect the terms in -1924665*w**2 - 203850*w + 1924687*w**2 + 203850*w. 22*w**2 Collect the terms in 15*i**2 - 149407 + 14*i**2 + 149407 - 6*i**2. 23*i**2 Collect the terms in -385*z**2 - 414*z**2 + 34*z**3 + 1217*z**2 - 418*z**2. 34*z**3 Collect the terms in -939*k - 882*k - k**3 + 2751*k - 930*k + 999*k**2. -k**3 + 999*k**2 Collect the terms in -28*q**2 + 11 + 10 + 3253*q - 3253*q. -28*q**2 + 21 Collect the terms in 22*t**3 + 29*t**3 + 0*t**2 + 0*t**2 + 11*t**3 - 57*t**3. 5*t**3 Collect the terms in -170*f + 219*f + 162*f. 211*f Collect the terms in -242024*c**2 - 111535*c**2 + 9195*c**2. -344364*c**2 Collect the terms in 31*u**2 + 34*u**2 + 13*u**2 - 69*u**2 + 1160*u - 1160*u. 9*u**2 Collect the terms in 1371 + 1349 + 1378 - 5473 + 0*g - 82*g + 1374. -82*g - 1 Collect the terms in -35689*r - 16 + 35642*r + 4 - 5. -47*r - 17 Collect the terms in 77 - 77 + 16934*d**2. 16934*d**2 Collect the terms in -552*b**3 - 613*b**3 - 175*b**3 + 188*b**3 - 1057*b**3. -2209*b**3 Collect the terms in -5597 + 28219 - 5641 - 5662 - 5659 - 5660 - z. -z Collect the terms in 222*r + 202*r + 188*r - 562*r. 50*r Collect the terms in -118*r + 1149084*r**3 + 61*r + 57*r. 1149084*r**3 Collect the terms in -67*h**3 + 21*h**3 - 15*h + 24*h - 10*h**2 - 9*h. -46*h**3 - 10*h**2 Collect the terms in g - 3*g - 9*g**2 - 10 - 41*g**2 - 2*g - 6. -50*g**2 - 4*g - 16 Collect the terms in -85*o - 5125020 + 10250043 - 5125023. -85*o Collect the terms in -161393*x + 323443*x - 159997*x. 2053*x Collect the terms in 633 - 633 - 91514*j. -91514*j Collect the terms in 6180*b**2 + 6175*b**2 - 18491*b**2 + 6150*b**2. 14*b**2 Collect the terms in 11 - 20333*v**3 - 11 + 38866*v**3 - 19571*v**3. -1038*v**3 Collect the terms in 806 + 615*u + 2*u**2 - 762 - 611*u. 2*u**2 + 4*u + 44 Collect the terms in 31*p**2 + 1 + 25*p**2 - 1 + 18*p**2 - 711*p - 73*p**2. p**2 - 711*p Collect the terms in s**2 - 14304*s + 14304*s - 1058. s**2 - 1058 Collect the terms in -95*v + 366*v - 190 - 94*v - 91*v - 88*v. -2*v - 190 Collect the terms in 20*t - 38*t + 18*t - 5416*t**2. -5416*t**2 Collect the terms in -2*i**2 + 804 - 803 + 6*i**2 - 5*i**2 - 288*i**3. -288*i**3 - i**2 + 1 Collect the terms in 101*y + 226 + 77*y - 226. 178*y Collect the terms in -255 - 237 - 19*l - 227 + 719. -19*l Collect the terms in 188*z**2 + 43012 - 43012 - 192*z**2. -4*z**2 Collect the terms in 70282808*z**3 - 140565618*z**3 + 70282808*z**3. -2*z**3 Collect the terms in 42*f - 69*f - 304*f**3 - 1587*f**3 + 27*f. -1891*f**3 Collect the terms in -4 - 210*q + 584*q - 219*q - 319*q. -164*q - 4 Collect the terms in -b**3 + 1 + 1563*b - 2044*b - 8*b**2 - 2785*b. -b**3 - 8*b**2 - 3266*b + 1 Collect the terms in -44 + 77*g + 91 + 8661*g**3 - 47 - 77*g - 8663*g**3. -2*g**3 Collect the terms in -45502*b - 108583*b - 86163*b + 49690*b. -190558*b Collect the terms in 414*u**3 - 47*u**3 - 3154*u**2 + 3154*u**2. 367*u**3 Collect the terms in 2*x**2 + 7441*x**3 - 4121*x**3 - 2*x**2 - 3611*x**3. -291*x**3 Collect the terms in 93*x + 4 + 22 - 129*x - 11 + 16 + x**3. x**3 - 36*x + 31 Collect the terms in -207*z**2 - 12*z + 178*z**2 + 14*z - 2*z + 0*z. -29*z**2 Collect the terms in 0 - 2690*u + 904*u + 899*u + 0 + 910*u. 23*u Collect the terms in 48 + 113*z**2 + 178 - 118*z**2 - 3*z**3. -3*z**3 - 5*z**2 + 226 Collect the terms in 4 - 1 + 23195*b**2 + 27813*b**2 - 4. 51008*b**2 - 1 Collect the terms in 24 + 80*r**3 - 19158*r**2 + 19158*r**2 - 11 - 10. 80*r**3 + 3 Collect the terms in -356*o**2 + 5875 + 349*o**2 - 5861. -7*o**2 + 14 Collect the terms in -87370*l**2 + 174805*l**2 - 87443*l**2 + l. -8*l**2 + l Collect the terms in -3319*h**2 + 1363*h**2 + 618*h**2 + 1349*h**2. 11*h**2 Collect the terms in 376*c**2 + 219*c**2 + 87*c**2 + 397*c**2 - 636*c**2. 443*c**2 Collect the terms i
{ "pile_set_name": "DM Mathematics" }
What is the units digit of v? 8 Let s = -497 + 698. Let w = 289 - s. What is the units digit of w? 8 Suppose -139*u + 27343 + 108877 = 0. What is the hundreds digit of u? 9 Suppose -32 = -2*d + 4*i, 2*d + 2*i - 2 + 0 = 0. Let o(m) = m**2 - 7*m + 8. Let n be o(d). Suppose -n*s - 84 = -5*s. What is the units digit of s? 8 Let x be (1 - 0)*1 + 136. Let w = x + 29. What is the tens digit of w? 6 Suppose -4*m - 4*v = -16, -3*m + 2 = -5*v - 2. Suppose m*q - 3*x - 384 = 0, -144 - 140 = -2*q - 5*x. What is the units digit of q? 2 What is the tens digit of 1180 + 1*20/(-2)? 7 Let g(k) = k**3 + 9*k**2 - 9*k + 10. Let c be g(-10). Suppose c = -5*d + d + 152. What is the tens digit of d? 3 Suppose -8*k + 9*k = 100. Let t = k + -65. What is the tens digit of t? 3 Let l = -27 + 51. Let z = l + 3. What is the units digit of z? 7 Let b be 21/3 - (-5 + 2). What is the units digit of -74*(b/(-4))/5? 7 Let a(l) = -l**3 + 26*l**2 - 26*l + 44. What is the tens digit of a(21)? 0 Let q = 24 - 12. What is the units digit of ((-6)/q)/(2/(-200)*2)? 5 Suppose -31*j + 1353 = -39722. What is the tens digit of j? 2 Let s(j) = -102*j**3 + j**2 - j - 1. Let q(k) = 3*k + 26. Let h be q(-9). What is the tens digit of s(h)? 0 Suppose -3*d = -7*d. Suppose d = -h - 30 + 93. What is the units digit of h? 3 Let l(p) = 5*p**2 + 12*p - 6. Let b(r) = -9*r**2 - 23*r + 12. Let m(f) = -3*b(f) - 5*l(f). Let z be m(-10). Let i = -63 + z. What is the tens digit of i? 4 Let y be (-44)/154 - 1682/(-7). Suppose 3*b - 7*b = -y. What is the units digit of b? 0 Let f(s) = -48*s + 6. What is the hundreds digit of f(-3)? 1 Suppose 1 - 12 = -s - 4*u, u + 4 = -s. What is the units digit of 1 + s*(-9)/3? 8 Suppose -2*r = -5*g - 17 + 69, 3*g - 118 = 4*r. Let c = 69 - r. What is the units digit of c? 0 Let p(w) = 26*w - 15. Let j be p(-5). What is the units digit of (j/10)/((-3)/18)? 7 Suppose 7*n = 2*n - 285. Let s = n - -82. What is the tens digit of s? 2 What is the hundreds digit of 11 - 7 - 3 - -481? 4 Let i be (-6796)/(-11) + (-18)/(-99). Suppose 0 = -4*t + 2*o + 486, 0*o - o = 5*t - i. Suppose -t = -2*f - 49. What is the tens digit of f? 3 Let b(i) = i**2. Let f be b(-2). Suppose -c = -f, -3*c + 648 = 4*h - c. Suppose -s + 4*k = -50, -5*s + 5*k + h + 135 = 0. What is the units digit of s? 2 Let l(y) = -2*y**2 - 7. Let s(a) be the first derivative of -5*a**3/3 - a**2/2 - 15*a - 2. Let x(n) = 9*l(n) - 4*s(n). What is the tens digit of x(2)? 1 Suppose -3*v = -z - 1552, -2*v + 894 = 4*z - 164. What is the hundreds digit of v? 5 Let l = -5684 - -9288. What is the hundreds digit of l? 6 Let m(b) = 385*b**2 - 5*b + 8. Let p be m(2). Suppose -9*y + 1090 = -p. What is the tens digit of y? 9 Let i be ((-544)/(-40))/((-2)/(-60)). Suppose -15 = 3*m, 3*n + m - i = -2*m. What is the hundreds digit of n? 1 Let o(a) = 42*a**3 - 2*a**2 + 2*a + 2. Let d be o(2). Suppose -u - 250 = -3*n, 2*u = 4*n - 0*u - d. Suppose 263 = 5*f + n. What is the units digit of f? 6 Suppose 5*c + 5 = 0, -4*o - 2*c = 3*c - 59. Let h(w) = 17*w - 1 + 10 - o*w. What is the units digit of h(14)? 3 Let u(t) be the third derivative of t**5/20 + t**4/24 + 2*t**3/3 + t**2. Let y(x) = x + 11. Let m be y(-15). What is the tens digit of u(m)? 4 Suppose 5*s = -3*a + 10*s + 1355, -433 = -a - 3*s. What is the units digit of a? 5 Let i = -27 - -17. Let h be (i/(-3))/((-4)/(-6)). Let l = 20 - h. What is the units digit of l? 5 Let z be (0 + -6)*(2 - -3). Suppose r - 5*a = 9 + 27, -5*r - 5*a + 330 = 0. Let t = r + z. What is the tens digit of t? 3 Suppose 3*z + 2346 = 5*z - 4*d, 0 = -3*z - 3*d + 3555. What is the units digit of z? 1 Suppose -x + 4*y - 11 = 0, -4*y = -4*x - 9*y + 40. Let j = -3 - -8. What is the tens digit of -58*(x/(-2))/j? 2 Let b = -2908 + 4198. What is the hundreds digit of b? 2 Let n(j) = 3*j**3 - 21*j**2 + j + 5. What is the tens digit of n(10)? 1 Let x(c) = -21*c - 3. Let k be x(2). Let i be k/(-105) - (-38)/(-7). Let r(o) = o**3 + 7*o**2 + 4*o - 3. What is the units digit of r(i)? 7 Suppose 0 = -94*p + 77*p + 12359. What is the hundreds digit of p? 7 Let a(p) be the third derivative of 0*p + 0 - 7*p**2 + p**3 + 1/120*p**6 - 1/20*p**5 - 7/24*p**4. What is the tens digit of a(5)? 2 Let o = -131 - -35. Let z = 4 - o. What is the hundreds digit of z? 1 Let y(g) = -3*g. Let t be y(2). Let s be t/(-4) + 219/6. Suppose 0 = -3*j + j + s. What is the tens digit of j? 1 What is the thousands digit of (-9 + -26)/(-5) + 4106? 4 Let u be (2 + -4 - 1)*1. Let j(k) be the second derivative of -2*k**3/3 + 3*k**2 + 5*k. What is the tens digit of j(u)? 1 Let p(g) = -8*g**2 + 32 + 14*g**2 + 17*g + g**2 - 8*g**2. What is the units digit of p(13)? 4 Let l be (24/60)/((-1)/(-25)*1). What is the hundreds digit of (-50)/(-20)*536/l? 1 Suppose 0 = h + h - 84. Let o be 14/21*(6 - 3). Suppose o*x = h + 20. What is the tens digit of x? 3 Let l be ((-207)/27)/(-2 + 51/27). Let y = 5 + l. What is the tens digit of y? 7 Suppose 3*t = 2*i + 25 + 3, 0 = i - 4. Let u = t + -13. What is the tens digit of 2 + (32 - (2 + u))? 3 Let v = -94 - -62. Let j = v - -43. What is the tens digit of j? 1 Suppose -2 = -r + 1. Let h be -5 + 4/(0 - -4). What is the units digit of ((-1)/r)/(h/48)? 4 Let l be (-4)/(-14) - (-61)/7. Let n = -5 + l. Suppose -p + 20 = -n*h + 5*h, 4*p = -3*h + 65. What is the tens digit of h? 1 Suppose 3*r - 4*a = 4*r - 1746, 5278 = 3*r + 2*a. What is the units digit of r? 2 Let y = 348 - -435. What is the tens digit of y? 8 Let d = -2710 + 4978. What is the tens digit of d? 6 What is the tens digit of 11238*((-1)/(-21))/(16/56)? 7 Suppose i = -2*i - o + 20, i + 5 = 2*o. Suppose z = -4*z + 4*v + 145, 0 = i*z + 2*v - 115. Suppose 3*p - z = 8. What is the units digit of p? 1 Let n(i) = -i**2 + 10*i - 5. Let v be n(10). Let l = v + 7. Suppose -4*g + 3 = 3*o - 119, -l*o + 82 = 2*g. What is the tens digit of o? 4 Suppose 35 = -4*f + 171. Let l be 1338/(-111) - 16/(-296). Let m = f + l. What is the tens digit of m? 2 Suppose 0*c - 2*c - 3*b = -1150, -c = b - 573. What is the units digit of c? 9 Let k = -17 - -19. Suppose -190 = -k*a - 3*x + 133, x - 164 = -a. Suppose -4*c + a - 13 = 0. What is the tens digit of c? 3 Let s(d) = 781*d**2 + 14*d - 14. What is the hundreds digit of s(1)? 7 Let p = 499 - -1585. What is the thousands digit of p? 2 What is the thousands digit of 1445 + ((-4)/(-6))/(54/(-243))? 1 Suppose -6831 = 9*j - 30636. What is the units digit of j? 5 Suppose 0 = -n + 676 + 2170. What is the hundreds digit of n? 8 Suppose 5*q + 90 = 2*l, -3*l - 2*q + 101 = -q. Suppose -16*k = -11*k + l. What is the tens digit of (12/k)/(3/(-42))? 2 Suppose 0*i = 5*i + 2*w - 23561, -5*i = -3*w - 23571. What is the units digit of i? 3 Let f(p) = p**3 + 11*p**2 - 10*p - 24. Let c be f(-12). Let a = c + 148. What is the tens digit of a? 0 Let p(m) = -m + 38*m + 22*m - 7*m. Let y be p(1). Let l = y - 22. What is the tens digit of l? 3 Suppose 121 = -8*c - 239. Let t = c + 182. What is the hundreds digit of t? 1 Suppose -3*v = -4*d - 661 + 8770, 3*d - 6108 = -3*v. What is the tens digit of d? 3 Suppose 25 = 5*s, 4*s + 2619 = 3*k + 26. What is the hundreds digit of k? 8 Suppose 260*z = 257*z + 5736. What is the units digit of z? 2 Let h(i) = 4*i**2 + 27*i + 35. What is the tens digit of h(-10)? 6 Let u(s) = 5*s**2 - 26*s + 8. What is the hundreds digit of u(-12)? 0 Suppose 561*l = 569*l - 27504. What is the hundreds digit of l? 4 Let o(d) = -200*d - 504. What is the units digit of o(-14)? 6 What is the hundreds digit of 502*((-63)/(-6) - 7)? 7 Suppose -7133 + 1537 = -4*z. What is the thousands digit of z? 1 What is the units digit of 671 - 12/(-3 - 3)? 3 Suppose -1292 = -4*j + 3*z, j + 4*j - 1646 = -4*z. Let r = j + -230. What is the tens digit of r? 9 Let v be (-8)/4 - 1 - -2. Let f be v/(0 + 2/(-4)). Suppose f*a = 21 - 3. What is the units digit of a? 9 Let v be 442/3 + 7/(-21). Suppose 3*o - 3*f - 168 = 0, -2*o + 3*f = 37 - v. What is the tens digit of o? 5 Let d(k) = -k**2 + 8*k - 2. Let f be d(7). Suppose 4*l + 0*l - 71 = -3*n, -3*n + 53 = -5*l. Let a = n - f. What is the units digit of a? 6 Suppose 0 = -4*h + 8, -3*t = 2*h - 3410 - 1937. What is the tens digit of t? 8 Let m(v) = 6*v. Let c be -1 - 2 - 11*-1. What is the tens digit of m(c)? 4 Suppose 10 = 5*i,
{ "pile_set_name": "DM Mathematics" }
Let x = 145 + -143. Let b = 4 + -1. Suppose -26 = -5*z + 2*s, b*z - 32 = -z - 4*s. Solve -3*d + 0*y = -y - 15, z = 3*d + x*y for d. 4 Let a(o) = o**2 + o. Let h be a(-2). Suppose -2*i - 5 = -w, -i + 5*w = 3*w + 4. Let f be i/(-7) - 38/(-14). Solve -7 = -5*z + n, n = -h*z + f*n - 2 for z. 2 Suppose -9 - 55 = -4*j. Solve 0 = -2*i + 5*n + 4 - j, -2*n + 9 = -5*i for i. -1 Let z be (-246)/(-4)*6/9. Suppose 0*u - 4*u + 18 = 2*b, z = 3*b - u. Let y = b + -9. Solve -4*g - 4*d = 0, -2*g + 2 = -y*g - d for g. -2 Let u be 0 + (6 - (5 + -2)). Solve u*g = -2*f - 22, 4*g = -3*f - 19 - 12 for f. -5 Suppose 0 = -9*j + 12*j - 15. Suppose -j - 1 = -3*z. Solve 2 = -5*y - r + 19, -z*r = -y - 1 for y. 3 Let q = 9 - 3. Let l be (-6)/(2 + 0) + q. Solve 7*o - l*o = 5*w, 0 = 2*w + o for w. 0 Suppose 0 = -2*c + 3*z - 2*z + 26, -3*z = -6. Suppose -i + 8 = -o, -2*i + i - 2*o + c = 0. Solve i = -p + 3*v, -5*p + 26 = 5*v - v for p. 2 Let z(s) = 2*s**2 - 7*s - 9. Let x(k) = 3*k**2 - 10*k - 13. Let i(g) = 5*x(g) - 8*z(g). Let m be i(5). Solve 8 = -3*b - o - 0, 0 = 3*b + 3*o + m for b. -2 Suppose 17*z = 22*z - 30. Let y = 0 + 0. Solve y = b - q - z, -b = -0*b - 5*q - 26 for b. 1 Let q be 6/15*(3 - -2). Suppose -45 - 45 = -q*u - 3*s, 4*s = -2*u + 90. Solve h + 4*a = -h + 6, 5*h - 5*a = -u for h. -5 Let i be 1*(133/28 + (-6)/8). Solve -5*k + k - 5*a = 26, 0 = 2*k - i*a for k. -4 Let z(w) = -2*w + 4. Let u be z(-4). Let o = -9 + u. Solve 0 = -3*m - 5*s + 29, -o*m + 5*s = 6 + 5 for m. 3 Let t(g) = g**2 - 5*g + 2. Let r = 2 + 5. Let j be t(r). Let n be (6/5)/(2/15). Solve 2*y = -4*h + 6*y + j, -n = 3*y for h. 1 Suppose 2*d + 6 + 8 = 3*g, 5*g = -3*d - 2. Solve -2*k - g*k + 12 = q, 5*q + 3*k = -8 for q. -4 Let j(z) = z**3 - 4*z**2 - 6*z + 7. Suppose 3*h = -0*h - 18. Let t be ((-10)/h)/(2/6). Let b be j(t). Solve b*p - 5 = 3*w, -2 = -3*w + 6*w + p for w. -1 Let r be (10/6)/((-6)/(-18)). Solve -4*a + 35 = -r*s + a, -a - 3 = s for s. -5 Suppose 3*a - 41 = -11. Let r(g) = g + 3. Let v be r(0). Suppose v = -2*i + 3*i. Solve -f = -5*u - a, 0*u - i*f = 5*u - 10 for u. -1 Let j(w) = -w**2 + 2*w + 3. Let q be j(3). Solve q*m + 5*m = 0, -3*m = -3*z + 12 for z. 4 Let d be (15/60)/(2/40). Solve 5*y + 4 = d*n - 1, -4*n - 23 = 5*y for n. -2 Suppose -5*i - 15 = -4*d, d + d + i = -3. Solve -3*h + 5*h - 5*q + 20 = d, 0 = -5*q + 10 for h. -5 Suppose -2*d + 3*j = -20, 0*j = 5*d + j - 16. Solve 14 = 2*n + d*w, 3*n - w - 12 = -5 for n. 3 Suppose o - 6*o + 2*q + 17 = 0, -4*q + 5 = 3*o. Solve -w = -2*r + 6, 4*w + 0 = o*r - 19 for r. 1 Let c be (30/(-2))/(-3 + 2). Let t be 3/30*6*c. Suppose -5*s + 11 = -t. Solve 9*a - 4*a = -s*w - 5, 3*w + 9 = -2*a for w. -5 Let p = 1 - 1. Suppose -5*d = 4*z - 16, -5*z = -2*d + d + 9. Let l be d/(-18) + 8/36. Solve 2*r - 2*m + 5 - 3 = p, 5*r + 2*m + 19 = l for r. -3 Let n(v) = -v**2 - 3*v + 10. Let u be n(-5). Solve o + w = -7, -19 = 5*o + w - u for o. -3 Let t(u) = 3*u**2 + 3*u - 3. Let x be t(-3). Let w be 0 + (0 - -3) - -1. Solve 2*y - 5*l = x - 1, -w*y - 5*l - 2 = 0 for y. 2 Suppose -r - r + 20 = 0. Suppose 4*s = -s + r. Let c be s*-1 - (-6)/3. Solve h + 2*x + 6 = c, -h = 4*h - 4*x - 12 for h. 0 Suppose -2*b + 40 = 3*b. Suppose 3*o = -o - 3*g + 14, -2*o + b = g. Let d = -1 + o. Solve -d*w + r = -r + 6, -w + 3*r = -11 for w. -4 Let i be 2/4 - 1/2. Let z be (-362)/(-10) + 9/(-45). Let o be z/(16/4) - -2. Solve 0 = -3*v + r - o, i*r - 3*r - 37 = 5*v for v. -5 Suppose 4*o - 3*o = 7. Suppose -2*x = -o + 1. Solve 0 = x*v - 0*j - j + 3, j = 3 for v. 0 Suppose 0*d - 28 = -2*d - 4*i, 2*i = -4*d + 26. Suppose -12 = -d*h - 0. Solve 5*m - 4*m - 4*n + 5 = 0, -h*n = -6 for m. 3 Let q be (-1 - 0)/(4/(-60)). Let g = 0 + 2. Suppose 7*c = g*c + q. Solve 5*s + 8 = -3*w, -c*w - s + 8 = -0*s for w. 4 Let x(a) = a**2 + 11*a - 28. Let z be x(-14). Solve z = 2*f - 2*w, 1 = -2*f - 2*w + 3 for f. 4 Let c = -2 + 6. Let k = c - -1. Solve b - 28 = -2*b + k*h, 3*b + 2 = -h for b. 1 Let r = 23 - 19. Let w = 21 + -21. Solve 3*v - 20 - 1 = 3*d, d - r*v + 22 = w for d. -2 Suppose 2*c - 22 - 6 = 0. Solve 4*m - c = -3*p, 0*p + 5*m - 14 = -2*p for p. 2 Suppose -3*x - 2*x - 2*f + 63 = 0, 2*f - 8 = 0. Suppose -26 = -5*q - x. Suppose -3*w + 3 = 2*u + u, -q*w - 21 = -3*u. Solve 2*k - 5 = 3*j, -2*k = u + 6 for j. -5 Suppose -2 + 4 = -2*u. Let d be (0/2 - 3)*u. Solve 4*w - 15 = d*n, -20 = 5*n - 4*w + 5 for n. -5 Let k(b) = -b**3 - 4*b**2 + 4*b. Let m be k(-5). Let g(n) = n**3 - 4*n**2 - 4*n + 1. Let d be g(m). Solve 0 = 3*f - 3*h - 21, -23 = 3*f - d*f + 4*h for f. 5 Let x(f) = -6*f - 33. Let p be x(-6). Solve -3 = -p*h + a + 11, 2*a = -2*h + 12 for h. 5 Let t(z) = z**2 + 14*z - 32. Let w be t(-16). Solve 4*f + 3*j + 23 = w, 0 = -5*j - 5 for f. -5 Let n(b) = -b - 1. Let z be n(-3). Suppose -9*l + 3*l = -18. Solve -5*d = g - 5, l*d + z*g - 3*g - 11 = 0 for d. 2 Suppose 3*a - 43 = -4*r - 0*r, 2*r = -4*a + 64. Solve 4*j + 3*g + a = 0, 4 - 9 = -2*j + 3*g for j. -2 Let x = -9 + 10. Suppose q - x - 2 = 0. Solve -4*r = q*k - 6*k + 13, -15 = -5*k for r. -1 Let y(g) = -5*g - 65. Let x be y(-13). Let r = -25 - -37. Solve 3*c - r = 2*f, -5*c - 2*f + 4*f + 20 = x for c. 4 Let d be (((-16)/(-6))/4)/(8/60). Solve -d*h + 28 + 1 = t, 7 = -2*t + 3*h for t. 4 Let o be -1*(1 + -4) + 1. Let q = 1 + -1. Suppose 0 = -w - q*s - 4*s + 27, -2*w + 30 = 2*s. Solve w = -5*l - o*y + y, 31 = -4*l + 5*y for l. -4 Let f be 2/4 - (-7)/2. Suppose 0 = -0*c + f*c - 12. Suppose -c*m = -0*m. Solve 3*l + 3*r - 6 = m, -2*l - 2*l + 3 = 3*r for l. -3 Let d(g) = -g**2 + 11*g - 8. Let u(l) = -6*l - 2. Let b be u(-2). Let i be d(b). Suppose 0 = -3*m + 2*m + 3. Solve -5*n - i*y + 16 = 0, m*y = 2*n - 2 + 7 for n. 2 Let x be (-11)/((-539)/112) - (-4)/(-14). Solve -4*n = k + 11, -k = 4*n + x*k + 1 for n. -4 Suppose 0 = 5*f + 6*f - 55. Solve 0 = 5*b - 0*g + 5*g, -f*g - 45 = -4*b for b. 5 Let f(x) = -x**3 + 8*x**2 + x - 6. Let g be f(8). Suppose 5 = u + g. Solve -5*b - 24 = -u*y, -5*b - 18 = -2*y + y for y. 3 Suppose -5*r - 6 = -26. Solve -4*u - a - 10 = r*a, -2*u - 8 = a for u. -5 Suppose 4*z = -3*v + 4, 0 = 5*z + v - 0*v - 16. Solve 10 = -z*k - 4*n - 18, 0 = -2*n - 4 for k. -5 Suppose 1 - 6 = -5*m. Suppose 0*x - 4*x = q + 18, -5*q + 3*x + 25 = 0. Let k = m + q. Solve 2*r + 4 = -4*a, k*r = -2*a - 2 + 4 for a. -2 Suppose 0*b + 12 = 2*b. Let z = -3 + b. Suppose -w = 4, -3*r - 2*w + 20 = -4*w. Solve -j + z = -0*j, r*v + 4*j = 0 for v. -3 Let f(a) = -a**3 - 6*a**2 - 6*a + 1. Let j be f(-6). Let q = -17 + j. Solve -o = 2*o - 3*b - 30, 5*b + q = -o for o. 5 Let r(s) = s**2 - 2*s - 3. Let b be r(-3). Let h be (-30)/4*24/18. Let n be h/(-4) - 6/b. Solve 0 = -3*w - n*q + 4*q + 8, 2*w - 3*q = 7 for w. 2 Let p = 40 - 38. Solve 2*b = -w + 7*b - 9, 1 = 5*w - p*b for w. 1 Let d(j) = -j**3 + 3*j**2 + j - 4. Let y be d(2). Solve -5*p + 2 = -4*f, -3*p + y*p + 2*f + 4 = 0 for p. -2 Let v = -95 + 99. Solve 30 = -v*i + i - 5*b, -5*i - 31 = 2*b for i. -5 Let y(d) = 3*d + 68. Let i be y(-21). Let v be 1/(-2)*(2 + 0). Let c be ((-1)/v)/((-2)/(-18)). Solve 5*s + i = a, -2*s + 6 = 3*a - c for s. 0 Let n be 6/21 + 32/(-14). Let s be (-1)/2*n + 2. Solve j + 2 = 0, 3*j + 5 = -s*r - 10 for r. -3 Let k be ((-10)/(-6) + -2)*-3. Suppose n + 4*i = 3*i + 1, k = 5*n + i. Solve 2*a + 4*o + 2 = n, 3*o + 17 = 3*a + 2 for a. 3 Let u(r) = -11*r - 3. Let q be u(-13). Suppose -6*k + k + q = 0. Solve -4*a - 3*p - k = -5, a = -4*p - 9 for a. -5 Let g(f) = f**3 + 8*f**2 - 2*f. Let n(l) = l**3 - 8*l**2 + 7*l - 8. Let m be n(7). Let a be g(m). Solve 2*z + z = -4*h - 16, -4*z + a = -4*h for h. -4 Suppose -r - 4*r + 15 = -c, -4*c + 8 = -3*r. Solve -34 = -c*h + 3*m, -h - 4*m = -m + 4 for h. 5 Let n = 526 - 267. Let l = -67 + n. Suppose 2*s = -2*s + l. Solve -16 + s = -4*z - 4*c, 2*z - 4*c - 2 = 0 for z. -5 Let n be 4*(3/2 - 5/5). Solve 0 = g + 3 - 0, 4*w - n*g + 2 = 0 for w. -2 Let u(w) = w**2 + 3. Let n be u(4). Let h = n + 16. Let f = h + -15. Solve 5*t + 3*d + f = 0, -8 + 0 = 2*t - d for t. -4 Let p(z) = z - 2. Let i be p(-2). Let l be -2 + (1 - 1 - i). Let r(q) = q**2 - 3*q + 3. Let h be r(3). Solve -b - m + h*m + 10 = 0, l*b = -m + 5 for b. 4 Suppose 0 = -9*o + 4*o + 120. Let t = -19 + o. Solve -4*b = -m + 20, b - 6 = t*m - 30 for m. 4 Suppose 6*k - 6 = 6. Let p(o) = 2*o - 1. Suppose -2*c + 0*i = 3*
{ "pile_set_name": "DM Mathematics" }
n 0? True Is 29474 != 29474? False Is 9/505579 < 1? True Which is greater: -8594 or -8566? -8566 Is -18/837365 at most 0? True Which is smaller: -26705/4 or -6675? -26705/4 Which is smaller: 1276851 or 1276848? 1276848 Which is smaller: -1/5264016 or 0? -1/5264016 Which is bigger: -13743 or -68719/5? -13743 Do 6 and -3677 have different values? True Which is bigger: 0 or 693/514? 693/514 Do 0.29604 and 21/5 have the same value? False Which is greater: 14/28577 or -1? 14/28577 Is 308244/11 smaller than 28022? False Is 194.27 less than -8? False Is -2 equal to -123.0083? False Is -14/395 greater than or equal to 2/771? False Which is greater: -2901 or -2796? -2796 Which is smaller: 0 or 2387/4072? 0 Is 4 at least -48507? True Is -3/23 smaller than -2220? False Is 68 less than 3680/53? True Which is bigger: 347189 or 347186? 347189 Which is bigger: -10/2209321 or 0? 0 Which is bigger: 0 or 9/133024? 9/133024 Are -44 and 820/7 non-equal? True Which is greater: -6/17389 or 1? 1 Is 23634 <= 259983/11? True Is -2391925 <= -2391926? False Is -1879 at least as big as -1889? True Which is smaller: 27528 or 27526? 27526 Which is bigger: 10/165589 or 1? 1 Is -8 > -12904? True Which is bigger: 1 or 1/213800? 1 Which is smaller: 536487 or 536489? 536487 Is -662/1483 equal to -1? False Is -669508 less than -669507? True Which is greater: -5/4 or -41196? -5/4 Is 529971 greater than 529975? False Which is smaller: 36/485843 or 1? 36/485843 Are 85 and -2038 nonequal? True Which is greater: -541/1208 or 1? 1 Which is smaller: 8275 or 5.9? 5.9 Is 0 < 15/389333? True Do -39796 and -39885 have different values? True Is 1240185 greater than 1240185? False Is -1 >= -54/6415? False Are -954 and 54 non-equal? True Is 158/19799 at most 0? False Which is smaller: -7177 or -7179? -7179 Which is smaller: 282 or 153? 153 Is -142388 != -142389? True Which is smaller: 1 or -1/2115? -1/2115 Which is smaller: -6501 or -10? -6501 Which is smaller: 11580 or 92637/8? 92637/8 Which is smaller: 92 or 635/7? 635/7 Is -26584 at most as big as 5? True Is 703324 smaller than 703325? True Is -55/23599 less than 1? True Which is smaller: -13/1142 or 0? -13/1142 Are -702529 and -702530 nonequal? True Is 58261 at least 58262? False Which is bigger: -3/273613 or 0? 0 Is 196/33 greater than or equal to 6? False Is 116 equal to -234? False Which is bigger: 691 or -8537? 691 Which is bigger: 3690/1591 or 1? 3690/1591 Is 184 > 85/6? True Which is smaller: 550/3173 or -1? -1 Is -86257 at most as big as -86257? True Is -50719 less than or equal to -50692? True Is 211814 < 211814? False Is 1 not equal to 370/9241? True Is 548 greater than or equal to 351? True Is 2/85085 greater than or equal to 3? False Which is smaller: 1/4 or -18497? -18497 Is -504 at least 107? False Are -64 and 4 equal? False Is 2478 > 64421/26? True Is 16115 less than 16109? False Are -22 and -2632/127 equal? False Which is greater: 0 or -13/10525? 0 Is -33133/2 greater than or equal to -16566? False Which is smaller: 43801 or 0.2? 0.2 Does 70 = 5106/73? False Which is greater: 4/8015 or 0? 4/8015 Which is greater: -65/1226 or -0.1? -65/1226 Is 531117 less than 531120? True Which is bigger: -2/3 or 144/55? 144/55 Which is greater: -0.1 or 1282346? 1282346 Which is smaller: 2/19 or 4508? 2/19 Are -9328 and -9314 nonequal? True Is -6660 >= -6698? True Which is greater: -12973 or -12974? -12973 Are -2614513 and -2614513 nonequal? False Are 2468 and 2727 unequal? True Do 15/17327 and 0 have the same value? False Which is greater: 14615 or 14616? 14616 Is 7091/267 >= 27? False Which is greater: -145357 or -145355? -145355 Which is bigger: 0.014 or -10/3? 0.014 Which is smaller: -7/138456 or 0? -7/138456 Which is bigger: 1 or 515/186? 515/186 Which is greater: -8/1049 or -9? -8/1049 Does 387 = 281? False Which is smaller: 22364 or -2/3? -2/3 Are 1 and -5/407426 equal? False Do 552879 and 552878 have the same value? False Which is bigger: -26321/2 or -13161? -26321/2 Which is greater: -1 or -42/6239? -42/6239 Which is smaller: 2 or 1546? 2 Which is greater: 0 or 528/653? 528/653 Which is greater: 577773 or 577774? 577774 Which is greater: 47067 or 47068? 47068 Is -1 equal to -26/125511? False Do 31515/8 and 3939 have the same value? False Is -15199 < -15191? True Which is bigger: -3416 or -3401? -3401 Which is smaller: -6 or 6094? -6 Which is bigger: 2/45 or -5820? 2/45 Which is smaller: -32177 or -32178? -32178 Are 322 and -1840 equal? False Is -59215 at least -2? False Which is smaller: 765 or 653? 653 Is 211 at least as big as 4882/23? False Which is smaller: 2084 or -34? -34 Is -22 at most 82551? True Which is smaller: 3119621 or 3119622? 3119621 Is 19/60 equal to 2/243? False Is -15733 not equal to -15672? True Which is greater: -2 or -105/7621? -105/7621 Which is bigger: 74 or -2/15? 74 Which is bigger: 154 or -4127? 154 Is -37 greater than or equal to -1249/33? True Is 7468/127 not equal to 59? True Does -71977 = -71985? False Which is greater: 15.1 or 76? 76 Are -12020 and -10 nonequal? True Is 48665 <= 48661? False Which is smaller: 60 or -1.65? -1.65 Are -2/12181 and -6 non-equal? True Is 2440 greater than -554? True Which is bigger: -533 or 260? 260 Which is bigger: -134445/11 or -12222? -12222 Does 19 = 23567? False Which is bigger: 1541113/5 or 308224? 308224 Is 36612 bigger than 36612? False Which is greater: 0.17 or 19.1989? 19.1989 Which is greater: -6234 or -3/8? -3/8 Are -614 and -55842/91 unequal? True Which is smaller: -60/16997 or 0? -60/16997 Which is greater: 3 or 3/43034? 3 Is 120 at most 6770/57? False Is 2618751 greater than -4? True Which is greater: -90 or -1301? -90 Are -2.3174 and 42 equal? False Which is bigger: -4 or -895/212? -4 Which is smaller: 86 or 5424? 86 Is -5/7 at most as big as -3442? False Is 448/87 > 6? False Is 42954 at least 42954? True Which is smaller: -2/2516773 or 1? -2/2516773 Which is smaller: 537951 or 537946? 537946 Which is smaller: -1 or -1/170051? -1 Is 1/21 <= -8299? False Which is greater: 3 or 1399/500? 3 Are 0 and 64317 nonequal? True Which is bigger: -979 or -1097? -979 Is 191730 <= 191726? False Is 49279 greater than 49278? True Are 1/20061 and 0 nonequal? True Does 71970 = 71958? False Which is greater: 13784/15 or 920? 920 Does 66573/4 = 16643? False Which is bigger: -47/1346 or 0? 0 Which is greater: -168/12395 or 0? 0 Is 21804/137 at least as big as 160? False Is 1096143 at most as big as 1096143? True Is -89813 greater than -89816? True Does -623662 = -623662? True Which is greater: -4500 or -4504? -4500 Which is bigger: 1 or -4/42127? 1 Which is greater: -1 or -3.093? -1 Which is bigger: -0.198 or 13.8? 13.8 Which is greater: 92 or 2515/27? 2515/27 Which is bigger: -60114.46 or 0? 0 Which is bigger: 2/98283 or 0? 2/98283 Which is bigger: 2532 or 2538? 2538 Which is smaller: 54195 or -19? -19 Is 5583974/3 bigger than 1861325? False Which is bigger: 0 or 6070/41? 6070/41 Which is smaller: -1680 or -1681? -1681 Which is greater: 7 or -3623.5? 7 Which is greater: 222351 or 222341? 222351 Which is smaller: 1 or 1/17196876? 1/17196876 Is 1412 not equal to -62? True Is 112 equal to 418? False Which is greater: -0.1 or 267123? 267123 Is 0 equal to -6/5611? False Which is greater: -1 or -38321? -1 Which is greater: 59 or 21330? 21330 Is -5/17702 smaller than 0? True Which is smaller: 0.27275 or -2.1? -2.1 Which is greater: 1037/14 or 11? 1037/14 Is -8.5 greater than -0.15? False Is -335465 bigger than -335465? False Which is smaller: -0.1 or -43301/5? -43301/5 Which is greater: 667 or 671? 671 Which is greater: 38245 or 3/7? 38245 Which is smaller: -38121 or -38117? -38121 Is 0 equal to -1527215? False Which is smaller: 472598 or 472596? 472596 Is 352463 at least as big as 352466? False Is 133890/31 equal to 4320? False Is 11202 bigger than 11149? True Is -663054 <= 1? True Are -1476 and -1469 unequal? True Is -0.482 at most 0.099? True Which is smaller: -6118 or -6127? -6127 Is -2472784/11 < -224799? False Do -374874 and -374873 have the same value? False Which is bigger: 809 or 1183/4? 809 Which is smaller: 0.129 or 1/58? 1/58 Which is greater: -7232 or -7228? -7228 Is 1 bigger than 2303335? False Is -14 > -1896/151? False Is -6 less than or equal to -14.0577? False
{ "pile_set_name": "DM Mathematics" }
? -1 Let k(z) be the third derivative of z**5/60 + 7*z**4/24 - z**3/2 - z**2. Let b = -100 + 94. What is k(b)? -9 Suppose -s + 6 + 11 = 3*v, 0 = -3*v - 4*s + 32. Let k = v + -9. Let j(m) = 3*m + 7. Let f(d) = 7*d + 15. Let g(o) = -2*f(o) + 5*j(o). Calculate g(k). 0 Let t(g) = -g**2 - 18 + 6*g + 14*g - 5*g. Let q be t(14). Let r(l) = -l**2 - l + 3. Determine r(q). -9 Let s(k) = 1. Let r(q) = q + 4. Let t(f) = -r(f) + 5*s(f). What is t(-4)? 5 Let y(a) = 13 + a - 2*a**3 + a**3 + 0*a**3 - 4. Determine y(0). 9 Let m(k) = 29*k - 7 + k**3 - 16*k - 14*k - 8*k**2. Calculate m(8). -15 Let v(q) be the first derivative of q**2/2 + 2*q - 1. Let y = 1 - -2. Suppose -1 = -i + 2*i + y*l, i + l + 3 = 0. Give v(i). -2 Let d(y) = -y**3 - 4*y**2 - 3*y + 1. Let r be (-36)/28 + (-6)/(-21). Let k(l) = l**2 + l. Let j(n) = r*d(n) - 5*k(n). Give j(-1). -1 Let d = 20 + -17. Suppose 8 = -d*s + 17. Let u(c) = c**3 - 6*c**2 + 5*c - 2. What is u(s)? -14 Suppose 3*k + 3*h = 12, k + k - 13 = 3*h. Suppose k*y - 2*b - 19 - 24 = 0, 5*b + 20 = 0. Let a(c) = c**3 - 6*c**2 - 9*c + 10. Calculate a(y). -4 Let q(p) = -p**3 + 4*p**2 - 4*p + 2. Let t(n) = -2*n - 3. Let h be t(-2). Suppose 4*z - h = 11. Determine q(z). -1 Let c be -1*(2 + 9/(-6))*12. Let f(w) = -w**3 - 3*w**2 - 3*w. Let x be f(-2). Let m(d) = 6*d - x*d + d**2 + 2*d. What is m(c)? 0 Let f(n) be the first derivative of -n**3/3 - 2*n**2 - 1. Let r = -4 - -8. Suppose 0 = -w - r*x + 11, -w - 3*x - 3 = 2*w. Calculate f(w). -5 Let o = 7 + -4. Let k be (o/6)/((-2)/(-8)). Let l(b) = -5 - k*b**2 + 2*b + b**2 - 8*b. Give l(-5). 0 Let g(u) = -u - 1. Suppose -2*k = k + 21. Determine g(k). 6 Let y = 1 + 1. Suppose 2 = a - 1. Let v(c) = 2*c**a + 3 - 4*c**2 + 2*c**2 - 5. Give v(y). 6 Let m be (-8)/8*(1 + -5). Let o(v) = -v**3 + 3*v**2 + 4*v - 3. Calculate o(m). -3 Let c(u) = -2*u**3 - 13*u**2 - 5*u - 3. Let n(l) = l**3 + 7*l**2 + 3*l + 2. Let m(x) = -4*c(x) - 7*n(x). Give m(-4). -14 Let m(h) = h - 2. Let c be m(1). Let f be 3/(-12) - (-18)/8. Let w(u) = -4*u**f - 2 + 3 + 0*u**2. Determine w(c). -3 Let j(a) = -3 - 2 + 2*a + 5. Let f(v) = v**2 + v - 4. Let t be f(-3). Suppose -x - 2 = -t*x. Determine j(x). 4 Let a = 5 + 1. Let o = 2 - a. Let j(q) = q**3 + 3*q**2 - 4*q + 5. Determine j(o). 5 Let g(q) = -10*q + 8. Let f(r) = -r + 1. Let k(y) = -6*f(y) + g(y). Suppose 0 = 4*c - 9 - 3. Suppose -5*h + 4 = c*s, h + 2 = 4*s + 6*h. Determine k(s). 10 Let d(q) = q**2 - 3*q + 3. Let t = -10 - -19. Let k = 13 - t. What is d(k)? 7 Let h(n) be the second derivative of 0*n**2 + 1/2*n**3 + 1/12*n**4 + 0 + 13*n. Suppose -10 = 4*o + 3*z, 1 = -2*o - 3*z - 1. Calculate h(o). 4 Let m(f) = -2*f - 9. Let x be m(-7). Suppose -11 = 4*i + x. Let g(k) = k**2 + 4*k - 4. Determine g(i). -4 Let n(a) = -3*a - 30. Let o be n(-11). Let i(g) = g**2 + g - 3. Calculate i(o). 9 Let l(p) be the third derivative of p**6/120 - p**5/60 - 7*p**3/6 - 62*p**2. Give l(0). -7 Let u(n) = -n - 6. Let m(j) = j + 1. Let s be m(-7). What is u(s)? 0 Let h(n) be the second derivative of -n**3/6 - n**2/2 + 6*n + 4. What is h(5)? -6 Let d(f) = 3*f - 1. Let l(v) be the first derivative of v**3/3 + 9*v**2/2 + v + 3. Let y be l(-9). Determine d(y). 2 Let y(u) = 3*u**3 - 2*u**2 + 2*u - 1. Let n be y(1). Let d(j) = -2*j - 5*j**2 - 7 - 3*j + 7*j - j**3 + n*j**3. What is d(5)? 3 Let q be 2 + -4 - 3 - -1. Let m(l) = -l**2 - l - 1. Let t = -4 + 5. Let k(d) = 2*d**2 - 3*d - 3. Let c(z) = t*k(z) + 3*m(z). Give c(q). 2 Let b(x) = x + 14. Let y(k) = -k - 15. Let l(w) = 4*b(w) + 3*y(w). Let n be l(-6). Suppose 0*p + 5 = -n*p. Let u(z) = 3*z + 1. Determine u(p). -2 Let h be 2 + (-1 - 1*-2). Let u(m) be the second derivative of m**5/20 - 5*m**4/12 + 2*m**3/3 - m**2 + 280*m. Give u(h). -8 Let t(q) = -q**3 - 28*q**2 - 28*q - 27. Let c be t(-27). Let w(u) be the first derivative of -u**4/4 - u**3/3 + 3*u - 2. Calculate w(c). 3 Let l be 0 - -1 - (-3 + -1). Suppose -a - l + 0 = 0. Let d(r) be the second derivative of r**3/6 - 6*r. Give d(a). -5 Let i(z) = z**2 + 2*z - 5. Let g(u) = -2*u**2 - 3*u + 10. Let f(l) = 2*g(l) + 5*i(l). Let x be 5/(1*(1 + -2)). Calculate f(x). 0 Let y(x) = -7*x**3 + 2*x**2 - 2. Let z be y(-2). Let j = -40 + z. Let m be 128/(-22) + (-4)/j. Let t(f) = -f**3 - 6*f**2 + 2*f + 7. Determine t(m). -5 Let j(x) = -1. Let a(f) = f - 1. Let k(u) = 2*a(u) - j(u). Let z(c) = -11*c - 65. Let n be z(-6). Determine k(n). 1 Let v(m) = -m**2 + 2*m + 1. Let h be (2/(-3) + 1)*9. Suppose 2*t - h = 1. Calculate v(t). 1 Let y(t) = t**2 + t + 1. Let r(c) = 3*c**2 - 11*c**2 - 11 + 5*c**2. Let o(z) = 2*z**3 + 4*z**2 + z - 2. Let g be o(-2). Let m(v) = g*y(v) - r(v). What is m(-6)? -5 Let k(x) = -2*x - 3*x**2 + 4*x + 0*x**2 + x - 2. Let i(w) = 0*w**2 + 2*w**2 - 3*w**2. Let l(u) = -i(u) + k(u). Determine l(2). -4 Let t(x) = x**3 + 4*x**2 - 5*x. Let j be (2/(-5))/((-2)/(-20)). Let l be ((-6)/j)/(-3)*-6. Suppose -2*d - 3*w - 5 = 2*w, -l*d - 10 = 5*w. Give t(d). 0 Suppose -4*i - 10 - 10 = 0. Let l(o) be the first derivative of 4*o - 1 - 1/4*o**4 + o**2 - 5/3*o**3. Calculate l(i). -6 Let f be 14/8 + 2/8. Suppose -7 = -4*j - m, 2*m + 2*m = -f*j. Let z(o) = -5*o**2 + 1 - o**j - 3*o + 5 + 1 - o**3. Calculate z(-5). -3 Let g(k) = -4*k - 3. Let q(x) = -9*x - x + 12*x - 10*x - 7. Let v(a) = 13*g(a) - 6*q(a). What is v(2)? -5 Let y = -7 + 10. Let u(d) = 5*d - 8 - 2 + 8. What is u(y)? 13 Let u(p) = p**2 - 9*p + 11. Let j be 1 - 12/(-4 - -2). Give u(j). -3 Let x(u) = -u + 1. Let s be (-10 + -1)*(-3)/(-3). Let o = s + 14. What is x(o)? -2 Let p(h) = 6*h + 1. Let q(a) = -a**3 + 4*a**2 + 5*a + 2. Let r be q(5). Suppose r*j = -4*f, -2*j + f - 6 = -j. Let d = 3 + j. What is p(d)? -5 Let k(z) = -z**3 - 6*z**2 + 2*z + 6. Let i(a) = -a**3 - 5*a**2 + a + 14. Let j be i(-4). Determine k(j). -6 Let i(k) = -k**2 - 7*k - 9 + 0 + 0*k**2. Suppose r + 27 = -5*u, -4*u + 5*r = 4*r + 27. Determine i(u). -3 Let p(g) = g**2 + g - 7. Suppose 0 = 13*m - 5*m. Determine p(m). -7 Let z(i) = 56*i - 3 - 19*i - 19*i - 17*i. Give z(5). 2 Let m(x) = x**3 + 6*x**2 + 5*x - 6. Let d be (-6)/(-9)*-3 + -9. Let i = d + 2. Let y = -14 - i. Calculate m(y). -6 Let c be 2*(5/2)/1. Let u(r) = -r + 3. Let n be u(c). Let l(o) = 3*o**2 + 2*o - 1. Calculate l(n). 7 Suppose -2*u = -3*o + 8, 3 - 15 = 4*u - 4*o. Let a be ((-4)/(-10))/(u/(-10)). Let w(g) be the second derivative of -g**3/2 + 3*g**2/2 - 13*g. Give w(a). -9 Let g be 1/5 - (-48)/10. Suppose -3*m = k - 0*m - 2, -2*k + g*m = -15. Let c(u) = u**2 - 6*u + 6. Calculate c(k). 1 Let n(t) = 4*t**2 + 2*t + 5. Let j(b) = -3*b**2 - b - 4. Let r(z) = -5*j(z) - 4*n(z). Let x = 3 - 10. Let o = -9 - x. Calculate r(o). 2 Suppose -5*q - 32 = 3*y, -5*y + 0*y = -5*q. Let z(r) = r**2 + 3*r + 4. Let h(o) = -2*o**2 - 6*o - 8. Let l(c) = -2*h(c) - 5*z(c). Determine l(q). -8 Suppose -4*c = 5*j - 0*c + 20, 5*j = c + 5. Let t(u) be the second derivative of 0*u**2 + 1/6*u**3 - 4*u + 0. What is t(j)? 0 Let i(a) = a**2 + 6*a + 8. Let k(j) = -j**2 + 6*j + 1. Let u(l) = l**3 + 7*l**2 + 5*l + 1. Let y be u(-6). Let p be k(y). What is i(p)? 8 Suppose 3*c + 30 = 6*c. Let z = c + -4. Let w(f) = -2*f + 7. Calculate w(z). -5 Let d be (6/(-9))/((-4)/48). Suppose -3*q + 2*y - 9 = -y, -5*q - d = 2*y. Let u(i) = -2*i + 1. Give u(q). 5 Let h(c) be the second derivative of 3*c**4/4 + 5*c**3/3 - 19*c**2/2 - 7*c. Let q(n) = 5*n**2 + 5*n - 10. Let s(m) = 4*h(m) - 7*q(m). Determine s(-5). -6 Let l(k) = 3*k**2 - 1 - 11*k**2 + 7*k - 2*k**3 + 3*k**3 + 9. Calculate l(6). -22 Let r(t) = -t**3 - 28 + 28 + 8*t - 6*t**2. Calculate r(-7). -7 Let g(k) = k. Let r be g(2). Let u(o) = -r - o - 3*o + 3 - o**2. Suppose -a + 4*a = -12. Determine u(a). 1 Suppose x + 26 = 4*j, 5*j + x - 6*x = 25. Let c(i) = i + 5 + j - 5. Suppose 3*g = -4*w + 3, 0 = -3*w + g - 3*g + 2. Calculate c(w). 7 Let q(j) be the second derivative of -4*j**2 + 10*j + 5/6*j**3 + 1/12*j**4 + 0. Give q(-6). -2 Let l(d) = -5*d**3 - 4*d**3 - 5 + 2*d**3 + 8*d**3. Determine l(0). -5 Let z(v) = -v**2 + 2*v - 4. Suppose -6*d + 4*d - 8 = 0. Let j be d/(-2*(-1)/(-2)). What is z(j)? -12 Let d be 1/(-4) - 17/(-4). Let r be (-13)/(-5) - d/(-10). Let y(z) = z - 4*z + 4*z - r. Give y(5). 2 Let h(z) = -z + 2. Let n(t) = -t - 4. Let b(d) = -d**3 + 5*d**2 + 6*d. Let a be b(6). Let p be n(a). Give h(p). 6 Let p = 12
{ "pile_set_name": "DM Mathematics" }
ve of 228577*s**2 + s - 156486? 457154*s + 1 What is the derivative of -1191171*f**3*t**2 + 27*t**2 + 100539*t wrt f? -3573513*f**2*t**2 What is the third derivative of -2*j**2*t**4 + 4373*j**2*t**3 + 3*j**2*t**2 + 89*j*t**2 - 9*j*t + 3*t**3 wrt t? -48*j**2*t + 26238*j**2 + 18 What is the third derivative of -9*a**6 + 11940*a**4 - 2173876*a**2? -1080*a**3 + 286560*a Find the first derivative of 461203*n**2 + 411765 wrt n. 922406*n What is the third derivative of -286*x**4*y**2 - 527*x**4*y - 269*x**2 - x*y**2 - 3*y**2 wrt x? -6864*x*y**2 - 12648*x*y What is the second derivative of 167*c**5 - 118*c**3 - 25*c - 421 wrt c? 3340*c**3 - 708*c Find the third derivative of 281484*u**5 + 147401*u**2. 16889040*u**2 Differentiate -408322*h + 801458. -408322 What is the third derivative of -6*i**5 + 966*i**4 + 183*i**2 + 86? -360*i**2 + 23184*i Differentiate -1932741*z**3 + 1087798 with respect to z. -5798223*z**2 What is the third derivative of -1072458*m**3 - 12761*m**2 + 2*m - 3 wrt m? -6434748 Differentiate -2255*o**3*w + 680*o**3 + 4*o*w**4 + o*w**2 - 1 with respect to w. -2255*o**3 + 16*o*w**3 + 2*o*w Find the second derivative of -411*p**4 - 90*p**2 - 5*p - 18937. -4932*p**2 - 180 What is the second derivative of 3*g**3*x**2 + g**3*x - 23038*g**2*u*x**2 + 10*g*u*x + 2*g*u - 57*u wrt x? 6*g**3 - 46076*g**2*u What is the derivative of -173*b**2*f**2 + 3256*b*f**3 + 3136022*f**3 wrt b? -346*b*f**2 + 3256*f**3 Differentiate -1643*c*k**2 - 124*c*k - 1180135*k**2 - k wrt c. -1643*k**2 - 124*k What is the second derivative of -358*b**4 + 841*b**3*d**2 - b*d**2 - 2*b*d - 251*b - 6*d**2 - d wrt b? -4296*b**2 + 5046*b*d**2 What is the third derivative of -2422857*a**4 + 2244641*a**2? -58148568*a What is the third derivative of 10*j**6 + j**5 + 1836*j**3 + 2*j**2 + 13114? 1200*j**3 + 60*j**2 + 11016 What is the third derivative of 1863721*t**4 - 365*t**2 + 641*t? 44729304*t What is the derivative of 114*c*h - 106*c*r**2 - c*r - h*r**2 - 33*h*r - 1476*h + 2 wrt r? -212*c*r - c - 2*h*r - 33*h Find the third derivative of a*v**5 + 52*a*v**3 + a*v + 25969*a - 2*v**5 - v**2 wrt v. 60*a*v**2 + 312*a - 120*v**2 What is the first derivative of -34927*a**4 + 15714 wrt a? -139708*a**3 What is the derivative of 2*d*j - 187*d*s**2 - 3*d*s - 5*d + 2*j**2*s + 17*j**2 - 386*j + 20*s**2 - 3 wrt s? -374*d*s - 3*d + 2*j**2 + 40*s Differentiate -110783*l*u + 674640*u with respect to l. -110783*u What is the derivative of 28*y**3 + 2219*y**2 - 3*y + 139541 wrt y? 84*y**2 + 4438*y - 3 What is the second derivative of -j**2*m**3 + 178*j**2*m - 35*j**2 + 6782*j*m**3 - j wrt j? -2*m**3 + 356*m - 70 What is the second derivative of 3*c*u**3 - 5*c*u**2 + 2*c*u + 2*c - 44*u**2 + 483823 wrt u? 18*c*u - 10*c - 88 What is the second derivative of -61*a**3*o**3 + 9407*a**3*o - 2*a**3 - 2*a*o + 26*o**3 + 2*o**2 wrt o? -366*a**3*o + 156*o + 4 Differentiate -31716*d + 32146 wrt d. -31716 What is the first derivative of -33702*b - 45980 wrt b? -33702 What is the third derivative of -20*c**2*j**3*z - 16*c**2*j*z - 417*c*j**2*z + 1042*j**3*z - 2*j**2 - j*z wrt j? -120*c**2*z + 6252*z What is the second derivative of -17*g**4 - 1583*g**2 + 62866*g? -204*g**2 - 3166 Find the first derivative of 55*r**4 + 41*r**2 + 5*r - 2862. 220*r**3 + 82*r + 5 What is the second derivative of 19407*s**2*u**2 - 223*s - 5*u**2 + 5 wrt s? 38814*u**2 Find the second derivative of -2909*r**4 + 4*r**3 + 337*r + 13. -34908*r**2 + 24*r What is the first derivative of -3*s**3 - 14*s**2 + 8*s - 28959 wrt s? -9*s**2 - 28*s + 8 What is the third derivative of -141*a**3*i*v + 12*a**3*i - 2*a**3*v + a**3 + 3679*a**2*i*v - a**2*v + a*v - 7 wrt a? -846*i*v + 72*i - 12*v + 6 Find the second derivative of 3113682*x**2 - 4461821*x. 6227364 Find the first derivative of -169028*m + 66817 wrt m. -169028 What is the third derivative of -79793*j**2*q**4 + 248*j**2*q**2 + 3870*j*q + 8*q**4 - 2 wrt q? -1915032*j**2*q + 192*q Differentiate 192764*k**2 - 256277 with respect to k. 385528*k What is the derivative of -257*s**3*t - 328152*s**3 - 440*s*t wrt t? -257*s**3 - 440*s Find the third derivative of 18816*v**3 + 1421*v**2 + 10*v. 112896 What is the first derivative of 3*d**2*u + 938*d**2 - 49*d*u + 52*d + 3*u - 2 wrt u? 3*d**2 - 49*d + 3 What is the derivative of -33208*n*v**3 - 14*v**3 - 5 wrt n? -33208*v**3 What is the derivative of -25973*l*x**2 - 5*l*x + 780598*x**2 wrt l? -25973*x**2 - 5*x Find the second derivative of 2314*j*t**2 + 2*j*t + 92*j - 3*q*t**5 + 3*q*t + t - 1 wrt t. 4628*j - 60*q*t**3 Find the second derivative of 3720*v**2 + 71*v - 237. 7440 Differentiate -m**3 - 35*m**2 - 543*m - 19772 with respect to m. -3*m**2 - 70*m - 543 Find the third derivative of -4*q**2*t**3 - 123*q**2*t**2 + 6*q**2*t + 581*q*t**3 wrt t. -24*q**2 + 3486*q Differentiate -i**3*r - 2*i**3 - 4322*i**2*r**2 - 5*i**2 + 7*i with respect to r. -i**3 - 8644*i**2*r Differentiate 5*n**2*w*y + 14*n**2*w + 6*n**2*y - n**2 + 205*n*w - 559*w*y + 2*w with respect to y. 5*n**2*w + 6*n**2 - 559*w Find the third derivative of -601*i**5 + 208*i**4 - i**3 + 13*i**2 + 524*i + 2 wrt i. -36060*i**2 + 4992*i - 6 Find the second derivative of 202*u**2*v**3 - 11*u**2*v - 256*u**2 - 34*u*v**2 + 2*u*v - v**3 + 7*v wrt v. 1212*u**2*v - 68*u - 6*v Find the third derivative of 61*a**4*g - 387*a**4 + a**3*g**2 - 18*a**2*g**2 - 163*a**2 wrt a. 1464*a*g - 9288*a + 6*g**2 What is the third derivative of -197288*p**3 - 45602*p**2? -1183728 Find the third derivative of 510546*g**3*v**2 - 7*g**2*v**2 + 2*g*v**2 - 512*g wrt g. 3063276*v**2 Find the third derivative of 40106*p**5 - 2*p**4 - 9*p**3 + 7091*p**2 - 28 wrt p. 2406360*p**2 - 48*p - 54 What is the second derivative of -67634*q**4 - q**2 + 184112*q wrt q? -811608*q**2 - 2 Find the second derivative of b**2*j + 2628*b**2 - 5*b - 2700*j wrt b. 2*j + 5256 Find the second derivative of 4*a*r**4 - 4154*a*r**2 + 2*a*r + a - 14*r + 130 wrt r. 48*a*r**2 - 8308*a What is the second derivative of -10020*i*o**2 + 5*i*o - 1906 wrt o? -20040*i What is the first derivative of 5587007*i**3 + 5920646 wrt i? 16761021*i**2 Find the second derivative of -p**3 - 156341*p**2 - 1651628*p. -6*p - 312682 Find the first derivative of -1740*v**3*z - 10*v*z**2 + 14373*z**2 wrt v. -5220*v**2*z - 10*z**2 Find the third derivative of -2*r**5 - 20904*r**3 - 78559*r**2 wrt r. -120*r**2 - 125424 Differentiate 28*z**2 + 261*z + 63838. 56*z + 261 Find the second derivative of 69*m**2*s**2 + 1406*m**2*s + m**2 - 59*s**2 + 3*s wrt s. 138*m**2 - 118 Differentiate -3*j**2 + 28666*j - 419401 wrt j. -6*j + 28666 Find the second derivative of 9*a**3 + 10420*a**2 - 21753*a. 54*a + 20840 What is the third derivative of 14427*q**4 + 35335*q**2? 346248*q What is the derivative of -2151407*b**3*x**3 - 2*b**2*x**3 - 15*x**3 - 3167*x**2 - 3 wrt b? -6454221*b**2*x**3 - 4*b*x**3 What is the second derivative of -q**3*z - q**3 + 3929*q**2*z - 3*q**2 - q*z - 3*q - z + 431 wrt q? -6*q*z - 6*q + 7858*z - 6 Differentiate 2*b**3*d**2 - 526*b**2*d**2 + 2*d**2 - 46175 with respect to b. 6*b**2*d**2 - 1052*b*d**2 What is the second derivative of -9714*a**3*c + 42*a**2*c**2 + 19536*a*c**2 - 27*a*c wrt a? -58284*a*c + 84*c**2 Find the third derivative of 908*m**4*p**3 + 2*m**4 + m**2 + m - 5*p**3 + 39*p**2 wrt m. 21792*m*p**3 + 48*m What is the second derivative of -3*z**3 + 7501*z**2 - 37538*z? -18*z + 15002 What is the second derivative of 22629*f**3*k**2*l - 88*f**3*k*l + 65*f**3*k - 2*f**3*l - f**3 + 3*f**2*k + 4*f*k**2*l wrt k? 45258*f**3*l + 8*f*l Find the third derivative of 2248913*d**5 + 1191409*d**2 wrt d. 134934780*d**2 Find the second derivative of 863986*p**2 + 2854233*p. 1727972 Find the second derivative of m**2*s**3 - 27*m**2*s**2 + 4*m**2*s + 17907*m*s + 2*s**3 - 7*s**2 wrt s. 6*m**2*s - 54*m**2 + 12*s - 14 What is the third derivative of -10*u**2*y**3 - u**2*y**2 + 676*u*y**3 - 903*u*y**2 - 3*y**3 wrt y? -60*u**2 + 4056*u - 18 What is the second derivative of -1316028*s**4 + 597033*s? -15792336*s**2 Find the third derivative of -r**5 + 164677*r**3 + 2134375*r**2. -60*r**2 + 988062 Find the second derivative of -116971*n**3 + 13490*n - 104. -701826*n Differentiate 73*q**2*y**3 - 24*q*y**3 - q*y**2 - y**3 + 39*y + 612 wrt q. 146*q*y**3 - 24*y**3 - y**2 Different
{ "pile_set_name": "DM Mathematics" }
+ -4)? -120 What is -2 + -37 + (77 - 28) + -58? -48 Evaluate -3 + 27 + (-2 + -3 - -24) + -7. 36 Calculate (1 - -39) + 20 + (25 - 23 - 18) + -7. 37 What is the value of -148 + 139 + -143 + 50? -102 What is -2 - (15 - (-13 + 11)) - -8? -11 186 + (-113 + 80 - 40) 113 Evaluate -2023 + 2012 + -2 + (-22 - 4). -39 What is 16 + -34 + -6 + 9 + 16 + -88? -87 What is the value of 9 - (89 - 17) - (9 + (-13 - -1) + 6)? -66 Calculate -11 - -75 - (-53 + 110). 7 Calculate (0 - 33) + (-112 + 109 - -13). -23 -50 + (3 + (3 - 16) - (-74 + 72)) -58 Calculate -68 - ((-20 - -31 - -23) + -67). -35 What is (713 - 684) + (-17 - 0) - ((8 - 9) + 10)? 3 40 + -27 + (-27 - 20) -34 Evaluate -81 - (10 + -37 - (-5 + 3)). -56 What is -1 - -23 - (204 + (52 - 307))? 73 -9 - (-3 - (0 - (37 + -1))) -42 (-229 - (-81 - 10)) + 9 -129 Calculate -122 + (28 + -14 - (-52 - -22)). -78 -164 + 170 - 161 - -257 102 What is the value of (-9 - -37) + -2 + 2 + -1 + 10? 37 Evaluate (-98 + 254 - 88) + -54. 14 Evaluate 63 + 4 + 4 - ((185 - 178) + 5 + 0). 59 Calculate (-89 - -3) + 15 - (3 - -4 - 24). -54 Calculate (5 - -2) + 1 + -36 + 14 + -101. -115 Calculate -23 - (-60 - -12 - -15) - (4 - -6). 0 What is the value of 2 + 46 + 2005 + -2013? 40 What is the value of 48 - 10 - 6 - (18 - 14 - (7 - -3))? 38 (-5 - -1) + (42 + -31 - 110) - (-13 - -22) -112 Evaluate 68 + -17 + 14 - 197. -132 What is the value of -12 + 65 + (9 - 43) - 74? -55 Evaluate (-103234 - -103239) + (1 - ((-1 - 6) + 0)). 13 4 - -15 - (-6 - -8 - -8) 9 (-160 + 110 - -43) + (-2 + -2 + 5 - 60) -66 What is the value of 28 + -33 + 2 + 16 + -14? -1 Evaluate 0 - ((-2 - 5) + -17 + 31 + 5). -12 Evaluate 5205 + -5242 + (101 - -1). 65 Calculate -1 + 2 - (-289 - -315) - -45. 20 -27 - (41 + -77 + 23) -14 Calculate (-19 - (1 + -8)) + 18 - -1. 7 What is the value of (-52 - (-33 + 2 + 1)) + -42? -64 Evaluate -4 + -4 + 11 + 39 + 3. 45 Evaluate 27 + 10 + -20 + -26 + 1 + (1 - 11). -18 What is 1 + (-2 - (-44 + (-2 + 10 - 1)))? 36 What is the value of -35 + 4 - (-584 + 591)? -38 Evaluate -15 - ((13 - -2) + 0 - (13 - (-10 - 107))). 100 106 - 118 - (-28 - (-5 - -13)) 24 What is the value of -57 - (11 - (121 - 69))? -16 What is 0 - (50 + 2 + 345 + -349)? -48 Evaluate -43 - (5 - (-2 - -7 - (5 + -9 + 2))). -41 What is (-2 + -19 - (339 + -377)) + -3 + -15? -1 What is (-9 - 5) + 36 - -18? 40 -84 + 11 + 60 + 18 + -64 -59 What is the value of 18 - (2 - 1) - (-5 - -18) - 49? -45 (-97 - -62 - 0) + (0 - -15) -20 What is -36 + (-33 - 7) + 52 + 27? 3 What is the value of (-8 - -5 - -12 - (-23 + 28)) + 35? 39 What is (-10 - -1) + (-4 - -7) + (12 - 41)? -35 What is -30 + (28 - 56 - -19 - 28)? -67 (2 - (-16 + 6)) + -6 - 17 - 2 -13 What is the value of -13 + 5 + -24 + (-1 - 14) + -11? -58 36 + (-109 - -58) + -18 + 2 - 9 -40 0 + -1 + 16 + 22 + -53 + 23 + 57 64 -18 + 21 + 17 + 3 - 69 -46 Calculate 98 + -103 + (-17 - (4 + -7)). -19 Calculate 7 + 0 + 2 + -21 + (64 - 1) + 14. 65 Evaluate (-1 - (14 - 8)) + (33 - 17) + -27. -18 What is (2 - -24) + -15 + 10 + -45 + -2? -26 What is (-21 - (12 + -44)) + -23? -12 What is (-2 + 19 - 8) + -36 + -24? -51 -68 + (14 + 1 - (74 + -91)) -36 What is the value of (122 - 120) + (-3 - ((4 - 8) + 32))? -29 Calculate 15 + 28 + -35 + 4 + 18. 30 Calculate -2443 - -2511 - (-1 - -15). 54 Calculate -37 + -76 + 40 + 104. 31 Calculate 90 + 0 + 2 + -2 + (-371 - -162 - -220). 101 Evaluate -330 - (-110 - 16) - -114. -90 What is the value of -59 - (10 - 22 - 12)? -35 What is the value of 9 + (13 - -1) + -12 + (-118 - -98)? -9 Calculate 78 - (-116 - -50 - -57). 87 Calculate 3 - 36 - ((6 - 4) + -16). -19 What is 118 + -94 + 79 + -165? -62 39 + 18 + -50 - 41 -34 Evaluate 13 + -1 + (23 - (4 - (39 + -71))). -1 Calculate 22 + ((-6 - -20) + -4 - 42). -10 What is the value of -128 + -25 + 152 + (-18 - -2 - 0 - -2)? -15 What is the value of (0 - (-12 - 3)) + 23 + -10? 28 -12 + 1 + (1197 - 1215) - -9 -20 Evaluate (17 - (2 - 16)) + (64 - 4). 91 What is the value of -9 + 3 + 2 + 12 + 9? 17 What is the value of (5 + -9 + 6 + 1 - 6) + 23? 20 Calculate 30 - 42 - -54 - 17 - -29. 54 Evaluate ((-1 - 1) + 15 - 2) + (-2293 - -2261). -21 Calculate (-57 - 2) + 44 + -42 - (-123 + 133). -67 What is the value of (-87 - -50) + (-19 - -57)? 1 Evaluate -10 - -45 - (13 + -14 + (12 - (28 - 5))). 47 What is -42 + 71 - 69 - (21 + -154)? 93 Evaluate 274 + -266 - (6 + -13 + 4 - -14). -3 What is -5 + -13 + (-14 - -39) + -8? -1 What is the value of (111 - (0 + 43)) + -77? -9 What is 2 - (17 + -13 - 27) - 61? -36 (-22 + 63 - 93) + 43 -9 Calculate -26 - (-115 + 34 + (-31 - -13)). 73 What is the value of 38 - (-5 - ((10 - (5 - 4)) + -3))? 49 59 - (17 - -9 - -35) -2 What is (-7 - -6) + (107 - (-8 + 30) - -4)? 88 What is the value of (-129 - -26) + 15 + 5? -83 -26 - (-51 - -26) - (-1 + (7 - -19)) -26 What is 44 + 53 + -105 - 34? -42 Calculate -1989 + 1989 - ((-4 - (-2 - 0)) + (-1 - -4)). -1 Evaluate (-15 + 1 + (-2 - -11) + 20 - 4) + -18. -7 Calculate 70 + 5 + (-7 - 44). 24 What is (9 - (-6 + -26 + 26)) + (3 - 152)? -134 What is the value of 0 + 125 - (6382 - 6337)? 80 Calculate (-44 - -37) + (0 - (7 - (-43 + -16))). -73 Evaluate 1 + -24 + (11 - (-19 - -15)) + -14. -22 Calculate (8 - (3 - -5)) + (-5 - -4) - -12. 11 What is the value of 9 - 44 - -93 - 33? 25 (-9 - 9) + 3 - (-7 - -8 - (-81 - 7)) -104 What is 0 - ((-1 - (1 + -2)) + (-7 + 8 - 9))? 8 Calculate 10 - (-47 + 27 + 4). 26 What is (4 - 6) + 2 + 32 + -2 + 1 + 6? 37 66 + (9 + -71 - -2) 6 What is the value of (-35 + 25 - -47) + 1? 38 7 + -28 + (19 - 16) + (-5 - (-4 + 5)) -24 Evaluate 47 + -99 + 59 + 45. 52 What is the value of 10 - (55 - (43 - -64))? 62 What is the value of 146 + (-1 + (4 - 7 - (-14 + 16)) - 4)? 136 (1 - -5) + -2 - (-57 + 10 + (79 - 35)) 7 Calculate (117 - 108 - (-1 + 11)) + -9 + 9. -1 Calculate 4 + -3 + -2 - 37 - (6 + -1). -43 Evaluate (42 - (27 + -37 - 12)) + -13 + -2. 49 22 + -32 + 47 + 15 + -22 30 Evaluate (14 - 45) + (6 + 10 - -4). -11 (-3 + 6 - -31) + -1355 + 1341 20 Evaluate 2 + (3 + -18 - (84 - 121)). 24 178 + -209 - (-22 + 4 + 4 + -2) -15 -5 + (-14 - -8) - (-13 + 2) - 23 -23 What is the value of (0 - 1 - 3) + (79 - 41 - -7)? 41 Evaluate -60 - (-19 + -11) - (-5 + 11). -36 What is the value of -78 - (2 + 15 - ((76 - 63) + 23))? -59 Evaluate (25 - 34) + -34 - -36. -7 7 + -52 + 89 + -98 -54 Calculate -41 - (-2 + (-4 - -5)) - ((-5 - -18) + -10). -43 What is 10 + (16 + -1 - (-1 - 34 - -37))? 23 What is (8 - 6) + 39 - (-20 - (-19 - -5))? 47 What is the value of (-4 - (-9 - -1)) + -98 - -10 - 14? -98 -14 - -6 - (123 - (118 - 64) - (2 + -1)) -76 What is -66 - (84 + -44 - 162)? 56 Evaluate -3 + 34 + -6 + 20 + -9. 36 What is (-25 - (-23 + -2)) + (-17 - -13)? -4 What is 48 + (-49 - -2) + -14? -13 Evaluate 2 - 3 - (-138 - -155) - -14. -4 Calculate -87 - (27 + -9 - (19 + 2) - -5). -89 What is the value of 8 + 23 + 9 + (0 - 2) + 7? 45 What is 10 - (25 - (33 + -34))? -16 Evaluate -98 + (96 - 15) + (1 - 25). -41 Evaluate -2 - (32 + 11 - 22 - -37). -60 Evaluate -8 + 0 + 48 + (13 - 16 - 6). 31 Calculate (-8 - (-20 + 21)) + 45. 36 What is the value of (84 - (149 - 104)) + -49 + 3? -7 Calculate 8 - (-1 + -21) - (37 - 38). 31 (10 + 2 - 0) + 630 + -663 -21 -7 + (-10 - 2 - (-253 + 96)) 138 What is the value of 4 + (-4 - (-13 - (-3 - (1 + 16)))) - -35? 28 129 - (137 - (-3 + 83)) 72 (-1 - -1 - (-380 + 380)) + 15 + -2 + -12 1 What is the value of 4 + 0 - 2 - -1 - (-189 + -37 - -282)? -53 4 - (-1 - 2) - (20 + -18 + -2) 7 What is the value of (-8 - (-28 + 11 + (29 - 28))) + -1 + 93? 100 Evaluate (3 - -12) + (-3 - 84) + 20. -52 Calculate -124 + (-32 + 47 - -44). -65 Calculate -26 + 19 + 5 + -2 + -1 - 15. -20 What is 12 - (21 + (-22 - -6) + 21 + -4)? -10 Calculate (2 + 111 - (-624 + 625)) + -20. 92 What is the value of -1 + 1 - -10 - (-265 + (607 - 233))? -99 What is -15 + -13 + 14 + (-4 - -25) + 3? 10 36 - (65 + -47 + -23 + 108) -67 What is 128 - -2 - (-825 - -986)? -31 Calculate 34 + (-14 - (-11 - -44) - -119). 106 Evaluate -1 + (-6 - (88 + -87 + (-1 - 16))) + 33. 42 What is 19 - ((-300 - -418) + 0 + -19)? -80 -3 - 46 - (543 - 622) 30 What is the value of -56 + 6 + -12 - (-416 + 426)? -72 What is the value of 26 - (-26 - (-24 + 6)) - 0? 34 What is -19 - (13 + (14 - (-17 + 37)))? -26 Calculate -5 - 1 - (520 - 512) - (13 - -14). -41 Calculate 37
{ "pile_set_name": "DM Mathematics" }
ulate (-44)/33*9/30. -2/5 Calculate (-3)/5*-15*18/18. 9 Evaluate 896/1120*((-270)/104)/(-9). 3/13 ((-11)/(363/77))/(6/18) -7 What is the value of 7/1*102/(850/(-25))? -21 What is ((-2)/36*12)/(6/(-72))? 8 Evaluate (-1)/(((-272)/153)/(-16)). -9 What is (((-2829)/(-574))/(-23))/((-3)/4)? 2/7 (-1)/(((-6)/(-4))/(42/(-28))) 1 What is (-81)/4212*2*1*2? -1/13 What is the value of 40/5*((-11)/8)/11? -1 ((-9)/(72/(-56)))/(-2)*6/(-3) 7 What is the value of ((-5148)/9724)/((-6)/170)? 15 Calculate 14/4*((-112)/294)/(-2). 2/3 (-7)/(((-148)/8)/(-37)) -14 Calculate (-63)/(-14)*76/(-1539). -2/9 Calculate (-2)/((-2)/16*(-28)/(-7)). 4 What is 21/(70/(-10))*(-33)/(-11)? -9 Evaluate ((-432)/4698)/((-12)/9). 2/29 What is (2/(-2))/((-14)/((-3150)/(-125)))? 9/5 What is the value of (-6)/9*((-9)/21)/((-138)/(-2898))? 6 What is the value of ((-111)/(-13320))/(3/8)? 1/45 Calculate 82/(((-344)/774)/((-4)/(-18))). -41 Calculate -12*-11*(-7)/(-1694). 6/11 (((-2)/1)/(-66))/((-28)/(-504)*-6) -1/11 What is the value of (40/(-5))/(96/(-20))? 5/3 What is the value of (0/((-2)/2))/((-49)/7)? 0 Calculate ((-2)/6)/((-84)/56)*(-42)/(-6). 14/9 What is the value of ((-10)/25)/((-880)/(-600))? -3/11 Evaluate ((-10)/(-24))/((-1220)/122). -1/24 What is the value of (2/2)/(((-231)/143)/21)? -13 What is 2/(-2)*(-28)/84*-12? -4 Evaluate 6*-3*(-44)/99. 8 (-2)/(-24)*-1*90/(-135) 1/18 What is 5/(-7)*-7*(-30)/350? -3/7 Evaluate (-26)/(-3)*(-10)/(-20)*(-15)/5. -13 Evaluate (((-253)/46)/(-11))/((-2)/(-52)*-1). -13 What is the value of (-27)/18*(-4)/(-10)? -3/5 What is (-2)/15*(3906/31)/(-42)? 2/5 What is (3/(-18))/(4/3*26/(-26))? 1/8 What is the value of 116/(1*-2)*(-2075)/(-4150)? -29 What is 2/15*51/(187/11)? 2/5 (-3)/(12/2)*8/8*-34 17 What is the value of (-20)/25*(-2235)/(-2384)? -3/4 What is (((-2)/(-2))/20)/((4720/(-150))/118)? -3/16 What is the value of 224/280*(-10)/28? -2/7 (30/((-60)/12))/6 -1 Evaluate (192/(-5504))/((75/(-20))/5). 2/43 What is the value of (-2*1/18)/((-209)/418)? 2/9 What is (60/16*(-2)/(-3))/((-2415)/(-17388))? 18 What is the value of ((-38)/684)/((-1)/(-2))? -1/9 Calculate ((-24)/(-160))/(10/150). 9/4 ((-9064)/1442)/(2/7) -22 Calculate (1*(-36)/63)/((-26)/273*3). 2 Calculate ((-4)/((-4)/(-2)))/(25*(-21)/3150). 12 ((-8)/(-6))/(299/(-897)) -4 Calculate 5*9/(-810)*-15*2/15. 1/9 Calculate (4/(-6))/(368/(-828))*(-24)/117. -4/13 What is ((392/(-70))/4)/(8/(-5))? 7/8 ((-4)/20)/((-63)/(-405)) -9/7 What is 22/(-9438)*-26*-3? -2/11 What is (-2682)/745*20/(-8)? 9 What is 36/45*((-3225)/(-90))/43? 2/3 Calculate (6/1)/((-24)/(-4))*-2. -2 (-678)/2373*2/3 -4/21 Evaluate (-4)/(-1)*(-2)/(-24)*(-3)/(-2). 1/2 What is the value of 46/(-138)*((-9)/6)/(4/(-24))? -3 Evaluate -21*((-106)/265)/(14/5)*-7. -21 What is 112/(-840)*((-450)/155)/6? 2/31 (84/(-350)*10/(-3))/((-1674)/135) -2/31 Calculate (-55)/(-1)*((-20)/(-250)*-15)/(-2). 33 ((-10)/24)/((-13)/((-520)/(-25))) 2/3 Evaluate (26/(-14))/(3/39*143/(-231)). 39 ((-45)/1350)/(2/6) -1/10 What is (-28)/(-28)*4/82? 2/41 Evaluate ((252/30)/7)/(16/(-120)). -9 (((-8)/(224/(-18)))/((-72)/(-84)))/3 1/4 Calculate 4/(-20)*(-10)/2. 1 What is ((-486)/(-567))/(60/28)? 2/5 Evaluate 5/(-1*10/66). -33 (-24)/27*(-154)/1848 2/27 Calculate ((25480/112)/91)/(5/(-18)). -9 What is the value of ((-33)/((-6237)/(-54)))/(3/77)? -22/3 What is the value of 2*11/(66/(-1))*-9? 3 What is (-3*5)/(813/542)? -10 (6*(-4)/12)/(6/3*-1) 1 12/(-22)*484/(-1232) 3/14 ((-5)/(-30))/(25/750) 5 Evaluate (21/(-24))/(-1)*(-1400)/980. -5/4 Calculate ((-15)/90)/(((-4)/(-12))/(14/35)). -1/5 Evaluate (-8)/3*2835/(-1008). 15/2 Calculate 682/121*(-836)/(-152). 31 Calculate (-9)/36*-300*10/(-50). -15 Evaluate (-4)/(24/(-33))*-5*(-16)/(-40). -11 What is 7*(-15)/(-9)*24/(-120)? -7/3 Calculate (1/2)/(1*12/(-120)). -5 Evaluate 1/9*(-1752)/(-2336). 1/12 What is (-150)/360*(-7)/(210/27)? 3/8 Evaluate (7*(-28)/98)/((-9)/(-18)). -4 What is the value of (63/7)/(-9)*115/40*2? -23/4 Calculate (-6468)/14553*(-9)/(-5). -4/5 272/17*(-72)/(-36) 32 What is the value of ((-230)/(-7452)*9)/(15/4)? 2/27 (1/(14/1))/((-18)/3024*-21) 4/7 (1/280*24)/(48/20) 1/28 What is the value of ((-8)/728*13)/((-4)/(-2))? -1/14 ((-33)/(-110))/((-66)/(-3080)) 14 What is (-1)/((-22)/(6688/16))? 19 What is 3/((-20)/(-60)*(-9)/11)? -11 Calculate (6/5)/((-31)/248*(-1216)/20). 3/19 ((-656)/205*(-1)/4)/(2/35) 14 What is 180/(-225)*(-1)/(-2)? -2/5 Evaluate (-1)/6*6/((-6)/80*12). 10/9 6*(-1)/4*(-116)/(-435) -2/5 What is the value of 1/(-7)*(-4977)/237? 3 What is ((-2)/(-7))/(((-3009)/(-2856))/59)? 16 Evaluate (-3*(-40)/12)/(41/(-82)). -20 Evaluate 2/(10/3)*780/351. 4/3 What is the value of (12/(-51))/(118/(-3009))? 6 What is 4*((-32)/80)/(4/5)? -2 Calculate (-92*(-30)/3105)/((-2)/9). -4 ((-1)/1)/2*65/(4550/(-980)) 7 What is the value of (-315)/12*65/(-910)? 15/8 What is ((-14)/238*0)/2? 0 What is ((-50)/(-3))/((-905)/(-543))? 10 What is (9/12)/(6/(-4))? -1/2 What is the value of ((-756)/(-63))/(132/209)? 19 What is 9/144*4*(-190)/(-5)*-2? -19 ((-4402)/(-8804))/((1/58)/(-1)) -29 Evaluate -1*(-1)/(-15)*(-2970)/132. 3/2 What is 2/(-52)*340/170? -1/13 What is (5/8)/((-170)/68)*0? 0 What is the value of (-88)/(-264)*(-14)/(-6)*2/7? 2/9 ((0/(-2))/((184/8)/23))/(-4) 0 What is (32/4)/4*798/342? 14/3 -75*1*9*17/(-459) 25 What is the value of (660/75)/((-2)/(-5))? 22 (-18)/4*(-300)/4950 3/11 (-3)/5*(-20)/(-8) -3/2 ((-9)/(54/6))/(22/(-8)) 4/11 What is the value of 15/(-4)*928/(-580)*(-8)/(-6)? 8 Calculate ((345/(-20))/3)/(91/364). -23 Calculate ((24/(-9))/4)/(-14*(-29)/10353). -17 Calculate (72/(-2772))/((-10)/(-33)*(-6)/5). 1/14 What is the value of (-155*(-18)/(-90))/1? -31 What is the value of 5/((80/1344*-9)/((-3)/4))? 7 Calculate (-2)/9*3226/6452. -1/9 What is 12/(56/196*84)*(-1)/(-4)? 1/8 What is 54/36*(-204)/3213? -2/21 Evaluate ((-66)/462)/((-3)/(-105)). -5 Evaluate (3/(-3))/(((-624)/(-32))/13). -2/3 (((-22)/(-55))/((-8)/8))/(1/30) -12 4/123*(759/(-1012))/((-1)/(-2)) -2/41 Evaluate ((-30)/(-1))/(-6)*-2*(-3)/(-6). 5 Evaluate ((-24)/6)/(-12)*-1*11*-1. 11/3 Evaluate 3/((-21)/(-1))*96/96*7. 1 What is (48/448)/((-18)/(-84))? 1/2 Calculate 12/(-16)*(-352)/24. 11 What is (68/8)/(((-78)/6)/26)? -17 What is the value of (-35)/(-21)*(-1)/(((-2)/(-6))/1)? -5 (-16*4/(-32))/(-13) -2/13 290/(-2175)*45/27 -2/9 What is the value of ((((-120)/114)/(-10))/(-1))/(1/1)? -2/19 (2*(-15)/40)/(((-56)/(-16))/(-7)) 3/2 (-1)/(70/24)*11*161/506 -6/5 What is the value of 45/300*(-19)/(76/16)? -3/5 -1*(35/(7/1))/1 -5 Calculate (-2)/(-2)*(2331/54)/37*-2. -7/3 What is the value of (-7)/6*((-20)/(-224))/((-5)/2)? 1/24 What is ((-80)/(-12))/5*(-1)/((-9)/27)? 4 What is the value of ((-7875)/(-1260))/((-2)/(-8))? 25 What is the value of (9/(18/8))/((-2)/20*-2)? 20 Evaluate (-21)/((-504)/80)*6/(-4). -5 (740/148)/((-7)/(-7)) 5 What is (1/11)/((-7)/(1078/(-42)))? 1/3 What is the value of ((-8)/(-44))/(((-2)/(-1))/10)? 10/11 Evaluate (1/(-2)*1)/(2*(-15)/(-20)). -1/3 Evaluate 3/(60/28)*(210/(-6))/7. -7 Evaluate 15/4*(-68)/510*20. -10 Calculate 820/1025*1/(-4). -1/5 Evaluate ((-30)/6)/((-10)/8*10/(-25)). -10 What is the value of ((8/16)/((-7)/(-7)))/((-4)/48)? -6 Calculate -5*96/(-60)*1. 8 Evaluate 646/57*((-90)/12)/5. -17 (-10)/(-175)*3/((-18)/(-20)) 4/21 What is ((-4)/(-2)*81/108)/((-56)/16)? -3/7 What is (2/3*-2)/((672/(-468))/14)? 13 What is the value of (-3)/(-15)*0/958? 0 What is (-36)/1*25*(-228)/7600? 27 What is (4/3*18/24)/1? 1 What is (-99)/(-132)*9/636*(-160)/(-45)? 2/53 (((-2178)/(-550))/33)/(1/5) 3/5 Calculate (44/55)/((-26)/585*12). -3/2 What is the value of 12/(-14)*(-4816)/(-258)? -16 Evaluate 20/((-25)/90*-9). 8 (1/8)/(105/(-30)*(-24)/(-21)) -1/32 What is ((-60)/40)/(28/(-40)*3/7)? 5 What is the value of (-54)/390*-10*1/3? 6/13 What is the value of 1*2/(16/108)*12/(-18)? -9 Evaluate (1/(5/105))/(-1). -21 -3*3/(-45)*5 1 Calculate ((-20)/6)/(8*1/6)*2. -5 What is the value of 1*((-20)/(-640))/((-3)/(-6))? 1/16 What is ((-10)/(-40))/((12/80)/3*-1)? -5 Evaluate (((-238)/8)/((-21)/6))/1. 17/2 What is (-6)/(-21)*(-280)/(-10)? 8 What is the value of (81/6)/(21*23/322)? 9 What is (166/(-249))/((-7)/(-3))? -2/7 What is the value of (-3)/27*9/(-1)? 1 Evaluate ((5/(-40))/((-250)/120))/((-18)/15). -1/20 -11*40/(-110)*(-10)/4 -10 What is the value of (-21*(-22)/616)/(5*1
{ "pile_set_name": "DM Mathematics" }
Let n be k/5 - 16/(-10). Is 783/21 + n/(-7) composite? False Let d(r) = -r**2 - 4*r - 1. Let a be d(-5). Let v = a + 6. Suppose v*g - i - 59 = -3*g, -62 = -2*g - 5*i. Is g a composite number? True Let r = -10318 + 14915. Is r composite? False Let i be 18 - 1*0/(-3). Suppose 21 = -5*x + 2*k + 82, -2*x + i = -4*k. Is x composite? False Let m be -4 + 42/3 - 2. Suppose -1435 = -m*i + 3*i. Is i composite? True Let h(v) = -v**3 + 15*v**2 - 5*v + 1. Is h(14) a prime number? True Suppose 2513 = 9*z - 2*z. Is z a prime number? True Let m(k) = 12*k**2. Let v = 5 + -4. Let o be m(v). Is (-2)/3 - (-452)/o composite? False Let w = -3 - -10. Suppose -2*d + w*d = 265. Is d prime? True Let l be (-1 - -2)/(3 - 2). Suppose -a + 0 + l = 0. Is ((-19)/2)/a*-2 a composite number? False Let a = 62 - 43. Let m = 6 + a. Is m a composite number? True Let l(x) be the third derivative of x**5/60 + x**4/3 + x**3 + 2*x**2. Let y be l(-6). Let m(g) = -14*g + 1. Is m(y) composite? True Let d be (2 + (-1 - 1))*-1. Let c(j) = -j**2 + j + 1. Let b be c(d). Is (-4)/6*(-14 - b) a composite number? True Suppose 5*d + 7 = 4*x + 44, -3*d + 21 = -2*x. Let a be (192 - 0) + 0 - 2. Suppose 4*q + k - 73 - a = 0, d*q + 4*k = 337. Is q composite? True Suppose 3*z - 131 = 2*z. Is z composite? False Is (4/10 + 46/(-40))*-1004 composite? True Suppose -25*s + 26*s - 4 = 0. Suppose s*j - 3*f - 112 = 11, 3*j + 4*f = 111. Is j a prime number? False Suppose s = -0*s + 537. Is s/7 + 6/21 composite? True Let c(n) = -n**3 + 11*n**2 + 2. Let w be c(11). Suppose -4 = -3*l + w. Is -1 - (l - (2 + 38)) a prime number? True Suppose -4*f + 10 = 2*u, f + 5*u + 1 + 19 = 0. Suppose -33 = -f*p + 17. Is p a composite number? True Suppose 0 = -48*c + 52*c - 26948. Is c a prime number? True Suppose 5*j - 45 = 4*b, -4*j - b = -4*b - 35. Let t = -33 + 53. Let s = t - j. Is s a prime number? False Let u(r) = -10 - 9*r - r**3 - 6*r**2 - 8 + 17. Let v be (18/4)/(6/(-8)). Is u(v) a composite number? False Let d = 507 - -194. Is d a prime number? True Let w(u) = -7*u. Let k be w(-5). Let g be 10/k + 19/7. Suppose -11 = g*a + 5*c, -a - 5 = -0*a + 2*c. Is a a prime number? True Suppose 4*j = c - 123, -2*j = -3*c + 341 + 8. Let q = -78 + c. Is q prime? True Let u(s) = 3*s**2 - 3*s - 11. Is u(-9) a prime number? False Let g(n) = -12*n**2 + 1 + 3 - 3*n**3 - 14*n + 2*n**3 + 0. Is g(-11) prime? True Suppose y = 10 - 81. Suppose -2*s = 3*s + 3*v + 242, -4*s - 3*v = 193. Let q = s - y. Is q prime? False Suppose 2*c - 2 - 4 = 0. Suppose 137 = o + 4*a, 0*o + 5*a = -c*o + 397. Suppose -4*i - o = -4*b - 3*i, 0 = -4*i - 20. Is b prime? True Suppose 0 = 4*o - 2*o - i - 77, 4*o - 133 = -5*i. Is o a prime number? True Is (33/(-6))/(3/(-6)) prime? True Let h(b) = 3*b**2 + 0*b**2 + 0*b**2 + 71*b**3 - 4*b**2. Let s be h(1). Suppose 22 = 4*p - s. Is p a composite number? False Suppose u + 15 = 3*v - 7*v, 0 = u - 5*v + 15. Let p = u - -21. Suppose p = 4*t - 70. Is t a composite number? False Let b(a) = -a**3 + 4*a**2 + 6*a - 1. Let h be b(5). Suppose 2*g + 3*p = -0*p + 10, 3*p = g + h. Suppose v - 3 = 0, -6*w + 99 = -w - g*v. Is w a prime number? False Suppose 0 = -5*c + 3*f + 3228, 3*c - c - 4*f - 1294 = 0. Suppose 0*t = -3*o + t + 386, -5*o + 2*t + c = 0. Is o a prime number? True Suppose -4*j + 513 = -5*a, 0*a - 4*j - 117 = a. Let d = a + 182. Is d a composite number? True Suppose -g = 4*g - 5*c - 1145, -g - 5*c = -253. Is g composite? False Let u = -4 - -10. Let a = 83 + u. Is a a composite number? False Is (101 + 2)*(-4 + 6) a composite number? True Suppose 42*t + 1948 = 46*t. Is t prime? True Suppose -3*b - b = -628. Is b a prime number? True Suppose -u - 93 = -3*w, 4*w + 6*u - u - 105 = 0. Let k = w - 19. Is k a composite number? False Let c(l) = -l**2 + 4*l - 2. Let u be c(2). Let y = u + 1. Suppose -65 = -y*h + 28. Is h composite? False Let w be (-3)/(-4) - (-99)/44. Suppose -w*k + 528 = -k + 2*o, -802 = -3*k - o. Is k prime? True Let s(u) = -6*u - 1. Let n be s(1). Let x(d) = -d**3 - 6*d**2 + 4*d - 2. Is x(n) composite? False Suppose 0 = -4*q + 1 + 15. Suppose 3*v - 5*o = 2*v + 110, -q*o + 220 = 2*v. Suppose -z - v = -6*z. Is z a composite number? True Is 1*((490 - -1 - -1) + -1) prime? True Suppose -3 - 3 = -3*k. Let y = k + -5. Let o = 37 + y. Is o a prime number? False Let d be ((-10)/15)/(1/(-60)). Suppose 0 = 2*q - 118 - d. Is q composite? False Suppose -1642 = -7*p + 5*p. Is p composite? False Suppose 2*n - 3383 = h, -2*n - n + h + 5076 = 0. Is n prime? True Let o(i) = -i**2 - 5*i - 3. Let t be o(-3). Suppose 0 = t*r + 3*p - 8*p - 15, 2*r + 5*p = 10. Suppose -5 = -r*u + 45. Is u a prime number? False Let u be ((-2)/4)/(1/(-360)). Suppose -3*c = -5*c - 178. Let i = c + u. Is i prime? False Suppose -5*r + 4*q + 0 + 17 = 0, 0 = -4*r + 3*q + 14. Suppose 4*u - 167 = -4*x + 37, 63 = x - r*u. Is x a composite number? False Let a(t) = t**3 + 8*t**2 + 10*t - 3. Let u be a(-7). Let h be -1*6/8*u. Let n = h + 19. Is n a prime number? True Let z = 794 + -566. Let v = 151 - z. Let t = -46 - v. Is t prime? True Let t(h) = 195*h + 2. Is t(9) a composite number? True Suppose 6778 = 4*m - 3*b, 6*b - 6764 = -4*m + 2*b. Is m a composite number? False Is (-10)/15 - (-1139)/3 prime? True Suppose 3*r - 3*s - 1 = 5, 0 = r + 3*s - 6. Suppose -4*f + r - 7 = 0. Is 85 + 0 + (f - 1) prime? True Suppose -5*w + 358 + 112 = 0. Is w composite? True Is -2661*((-16)/12)/4 composite? False Let f(y) = -y**3 + 9*y**2 - 6*y + 7. Let m = 3 + 8. Suppose -m = -u - 3. Is f(u) prime? True Suppose -1101 = -t - 2*q + 368, t + 4*q - 1473 = 0. Is t prime? False Let p(v) = 80*v - 4. Let a be p(3). Suppose -r - a = r. Is 4*(r/(-8) - 1) prime? False Let r(s) = 38*s**2 + 5*s - 2. Is r(3) a prime number? False Let w(m) = 502*m**2 - 2*m - 1. Is w(-1) prime? True Suppose -2*f + 13*w - 12*w = -3081, w = 5*f - 7710. Is f a prime number? True Let k = -8 - -11. Suppose -k*h + 156 = -l, -h + 2*l + 38 = -3*l. Is h a composite number? False Let w be (2 + 0 + -1)*3. Let u be 68/16 + (-2)/8. Suppose 2*y = u*x - 40 - 10, 0 = -w*x + y + 39. Is x a composite number? True Let h(n) = n - 2. Let x be h(-5). Let l(d) = -d**3 - 6*d**2 + 5*d + 7. Is l(x) a prime number? False Let c = 44 - -10. Let u be c/12 + 1/(-2). Suppose -u*x = 5*j - 215, -5*j - x = 2*x - 210. Is j a prime number? False Suppose 0*m - 27 = 3*m. Is ((-1086)/m)/((-2)/(-3)) prime? True Let h = -29 + 71. Suppose -3*z + h = -0*z. Is z a prime number? False Let l = 845 + -1563. Let c = l - -1455. Is c a prime number? False Suppose 0 = -y + 1 - 10. Let i(h) = -15*h - 4 + h**2 - 2*h**2 - 1. Is i(y) a prime number? False Let t(r) = -r**3 - 6*r**2 + 5*r - 4. Let l be t(-7). Let g = l + -5. Suppose g*w = -4*a + 937, 5*a - 129 = -3*w + 441. Is w prime? False Let p be (12/10)/((-3)/(-15)). Suppose -h = 5*m - 0*h - 56, m - 5*h = p. Is m prime? True Suppose -4*j = -j - 1425. Let f = j + -284. Is f prime? True Let l(n) be the second derivative of -57*n**3/2 - 5*n**2/2 + 2*n. Suppose v = 3*v + 8. Is l(v) a composite number? True Let a(j) = -j**3 - 4*j**2 + j + 4. Let k be a(-4). Suppose -3*q + 28 + 248 = k. Suppose z - q = -4*h + 2*h, 4*h - 180 = -4*z. Is h composite? False Suppose 6*l - v = l + 750, v = l - 154. Is l a composite number? False Let x(s) = -74*s**2 + s - 1. Let d be x(1). Let k = d + 111. Is k prime? True Let x(g) = 22*g - 1. Let w be x(1). Suppose -r + 10 = -w. Is r a composite number? False Is (-92590)/(-30) + (-8)/6 prime? False Let n = -3 - -5. Let c be (-4)/14 - (24288/(-42) - -5). Suppose c = -n*m + 5*m. Is m composite? False Is 4 - (-11)/(66/3204) composite? True Suppose 7*f = 9*f - 46. Is f a composite number? False Suppose -4*d = d. Suppose d = -3*w + 10 + 71. Let s = w + -12. Is s prime? False Let b(a) = 121 - 6*a**2 + a**2 + a**2 + 3*a**2. Is b(0) prime? False Suppose 12891 = 3*z - 4*y + 2*y, 0 = -4*y. Is z prime? True Let c(t) = 4*t**2 + 3*t + 7. Let n be c(-6). Suppose p - n = -g, -2*g = -0*g - p - 266. Is g a prime number? False Suppose 12 = 2*g + g. Suppose g*l - l = -18. Let a = 7 - l. Is a prime? True Let a be (-18)/(-4)*88/6. Let t(b) = -44*b**3 - 1. Let l be t(1). Let d = a + l. Is d prime? False Is (6/(-9))/(3392/(-1695) - -2) a composite number? True Suppose 0*m + 5*m - 3*d = 1527, 0 = 2*m + 5*d - 586. I
{ "pile_set_name": "DM Mathematics" }
ive of 4519*b**3 - b**2 + 1348*b. 27114 Find the third derivative of 243*d*p**6 - 5158*d*p**3 - 3*d*p**2 + 704*d*p - p**2 + p + 3 wrt p. 29160*d*p**3 - 30948*d What is the third derivative of 13*f**3*p*w - f**3*p - 101*f**3*w - 55*f**2*p*w - f**2 - 2*f*p + 5*p - 3*w wrt f? 78*p*w - 6*p - 606*w Find the first derivative of -1434*f*z**2 - 94*f*z + 86*z**2 - 250*z - 4 wrt f. -1434*z**2 - 94*z Find the second derivative of 59*q**5 - 441*q**2 - 2*q + 5654 wrt q. 1180*q**3 - 882 What is the third derivative of -364*a*d**6 + a*d**2 + 2735*a*d + 2*a + 145*d**4 + 10*d**2 wrt d? -43680*a*d**3 + 3480*d Find the first derivative of 3*a**2 - 2399*a - 522404 wrt a. 6*a - 2399 What is the derivative of 25*v**4 + v**3 + 243*v + 523666 wrt v? 100*v**3 + 3*v**2 + 243 Find the second derivative of -178203*t**3 - 1619009*t. -1069218*t Find the third derivative of 538*j**3*k*s**2 + j**3*k*s + 61*j**3*k - 11*j**2*k*s**2 + 23*j**2*k*s - j**2*k - 4*k*s**2 - 16 wrt j. 3228*k*s**2 + 6*k*s + 366*k What is the second derivative of 1233*x**2 - 59398*x wrt x? 2466 Find the second derivative of -31943*t**5 - 19*t + 429. -638860*t**3 Find the second derivative of 1550016*a*f**2 + 20160*a*f + 40*f wrt f. 3100032*a Find the second derivative of -186638*r**2 + 1487*r - 7. -373276 Find the third derivative of 835079*h**5 + 2*h**2 + 17*h - 432. 50104740*h**2 Find the third derivative of 14259*k**4 - 8*k**3 + k**2 + 222804*k wrt k. 342216*k - 48 What is the derivative of -39649*a*c**3 - 2*c**3 - 2*c**2 + 1875 wrt a? -39649*c**3 Find the second derivative of 1670021*w**5 - 2679931*w. 33400420*w**3 Find the second derivative of 17*w**5 + 136*w**3 + 25383*w wrt w. 340*w**3 + 816*w Differentiate -26083*t**2 - 21717 wrt t. -52166*t Find the second derivative of 1625*l**4 - 4*l**3*n**3 - 2107*l*n**3 - 12*l*n wrt l. 19500*l**2 - 24*l*n**3 Differentiate 367*i*r**2 - i*r + 12438*i - 7*r**2 + 11*r - 5 with respect to r. 734*i*r - i - 14*r + 11 What is the first derivative of -452*d**4 - 69*d**3*t**2 - 7*t**2 + 628*t - 2 wrt d? -1808*d**3 - 207*d**2*t**2 Find the third derivative of 411491*a**4 + a**2 + 162*a - 13 wrt a. 9875784*a What is the derivative of -2*a**2*f - 799*a**2 - 7*a - 4723*f - 1 wrt f? -2*a**2 - 4723 Find the first derivative of 25075*q**3 + 100571 wrt q. 75225*q**2 What is the third derivative of 1277*n**3*x**5 + 54*n**3*x**3 + 91141*n**3 + x**2 wrt x? 76620*n**3*x**2 + 324*n**3 What is the derivative of 5*l**2*y + 1561017*l**2 - 3*l*y - 373*y**3 - 3*y**2 wrt y? 5*l**2 - 3*l - 1119*y**2 - 6*y Differentiate 54557*r*w + 3*r + 15*w - 564509 with respect to w. 54557*r + 15 What is the third derivative of 97896*l**4 + 3*l**2 + 104*l + 49? 2349504*l Find the third derivative of -3174918*d*n**3 + 132*d*n**2 + 19*d - 2*n**2 - 5*n wrt n. -19049508*d What is the derivative of 4519*b**3*j**3 - 2*b**3*j**2 - 2430*j**3 - 2*j**2 + 2*j wrt b? 13557*b**2*j**3 - 6*b**2*j**2 Differentiate 2312566*k*o**2 + 5*o**2 + 111446 wrt k. 2312566*o**2 What is the derivative of 2248346*g**2*y - 2583496*g**2 wrt y? 2248346*g**2 What is the second derivative of -287588*z**4 - 28*z + 15658 wrt z? -3451056*z**2 Find the first derivative of 12*i**2*u**2 - 6*i*u**2 + 154*i*u - 472*u**2 - 3*u wrt i. 24*i*u**2 - 6*u**2 + 154*u Find the first derivative of -n**4 + 178*n**3 - 142*n + 139435 wrt n. -4*n**3 + 534*n**2 - 142 Find the first derivative of 493*h**4 - 3*h**3 + 41*h**2 + 396842. 1972*h**3 - 9*h**2 + 82*h Find the second derivative of 2*d**4 - 2*d**3 - 50202*d**2 + 5805*d + 7. 24*d**2 - 12*d - 100404 What is the first derivative of 977*o*x*y + 197*o*x + 2*o - 8*x*y + 252*x wrt y? 977*o*x - 8*x Find the first derivative of -172303*j - 834297 wrt j. -172303 What is the first derivative of 32009*l**3 - 21639? 96027*l**2 What is the third derivative of -1062140*n**5 - 5037694*n**2? -63728400*n**2 What is the third derivative of 3*b**2*q**2*x**2 + 2*b**2*q*x - 50630*b**2*x**3 - b*q**2*x**3 + 2333*q*x**2 wrt x? -303780*b**2 - 6*b*q**2 What is the second derivative of 320317*a**5 + 2*a + 176348 wrt a? 6406340*a**3 What is the first derivative of 818*f**2*v**2 + 1434*f*v**2 + 1263232*v**2 + 2 wrt f? 1636*f*v**2 + 1434*v**2 What is the second derivative of 2758197*i**4 - 3492430*i wrt i? 33098364*i**2 What is the third derivative of 121364*l**4 - 2*l**2 - 2*l - 46274 wrt l? 2912736*l What is the third derivative of 10608*r**3 + 9576*r**2 + 2? 63648 What is the third derivative of -j**5*k - 492*j**4*k + 148*j**3*r - j**2 + 120*k*r - 2*k - 2*r + 208 wrt j? -60*j**2*k - 11808*j*k + 888*r What is the second derivative of -670820*x**2 + 279966*x + 3 wrt x? -1341640 Find the second derivative of 9360*j**3*m**2 + 35*j**3*m*z + 2*j**2*m*z - j*m**2*z - 785*m wrt m. 18720*j**3 - 2*j*z Differentiate 11*b*c**4 - 32023*b*c**2 + 2687241*b wrt c. 44*b*c**3 - 64046*b*c What is the third derivative of 8*g**5 + 6*g**4 + 326*g**3 + 281986*g**2 wrt g? 480*g**2 + 144*g + 1956 What is the third derivative of 70005*u**4 + 7*u**2 - 713? 1680120*u What is the second derivative of 1289117*f**4 - 12*f - 32495? 15469404*f**2 What is the third derivative of 39*a**3*t + 133*a**3 + 2219*a**2*t + t wrt a? 234*t + 798 What is the second derivative of -188671*x**4 - 11*x - 8092 wrt x? -2264052*x**2 What is the derivative of 52201*h**4 + 65654 wrt h? 208804*h**3 Differentiate -12586*b**2*s**3*x - b**2*s**2*x - 4*s**3*x - 1537*s**2*x with respect to b. -25172*b*s**3*x - 2*b*s**2*x Differentiate -4565377*n + 6702335 wrt n. -4565377 Find the second derivative of n**2*z**2 + 14323*n**2 - 304*n*z**2 + 32*n*z wrt n. 2*z**2 + 28646 What is the third derivative of -237828*w**3 + 11*w**2 + 209*w - 1? -1426968 Find the second derivative of 104615*n**4 - 3*n - 26705 wrt n. 1255380*n**2 What is the second derivative of 154009*y**3 + 34401*y? 924054*y Find the third derivative of -39*m**3*s**3 - 21*m**3*s**2 + 2*m**3*s - 8807*m**2*s**3 + 36*m**2 - 24*m*s - s**3 + 11 wrt s. -234*m**3 - 52842*m**2 - 6 What is the second derivative of -529*a**4 + 139*a**2*v - a*v + 4*a - v - 5 wrt a? -6348*a**2 + 278*v What is the second derivative of 26*o*v**3 + 2*o*v - 246643*o - 9*v**4 + 190*v**2 wrt v? 156*o*v - 108*v**2 + 380 Find the third derivative of m**4 + 2249*m**3 + 44998*m**2 wrt m. 24*m + 13494 Differentiate -182*o*r**3 - o*r**2 + 15*o*r - o - r - 10669 wrt r. -546*o*r**2 - 2*o*r + 15*o - 1 What is the third derivative of 2*a**2*t**4 + 478*a**2*t**2 - 15*a*t**3 + 118*t**5 + 28*t**2 wrt t? 48*a**2*t - 90*a + 7080*t**2 What is the third derivative of 3770*g**4 - g**3 + 107495*g**2 wrt g? 90480*g - 6 What is the derivative of 38018*t*z - 4628*t + 8*z**2 + 118 wrt z? 38018*t + 16*z What is the second derivative of k**3*q - 425317*k**3 + 11958*k*q + k + q - 1 wrt k? 6*k*q - 2551902*k Differentiate 208474*l + 98330. 208474 Find the second derivative of 227*g**4 + 360*g**3 + 196046*g wrt g. 2724*g**2 + 2160*g Find the first derivative of 108*n**4 + 183*n**2 - 135116 wrt n. 432*n**3 + 366*n What is the third derivative of -1557516*o**3 + 2981*o**2 - 2*o + 36 wrt o? -9345096 Find the second derivative of 12*d**3 - 2957*d**2 + 1643*d + 48 wrt d. 72*d - 5914 Find the second derivative of -137124*c*h**2 + 3*c*h + 539*h - 20 wrt h. -274248*c Differentiate -3*f**4 - 4594*f**2*s - 36744*s wrt f. -12*f**3 - 9188*f*s Find the first derivative of 408022*c - 444891 wrt c. 408022 Find the third derivative of 49714*f**3*y**4 + f**3*y**3 + 44855*f**3*y + f**3 + 2*y**2 wrt y. 1193136*f**3*y + 6*f**3 What is the second derivative of -6231*a**4 - 3*a**2 - 8380*a + 3 wrt a? -74772*a**2 - 6 What is the derivative of 704*p*y**2 - 2*p*y - 222824*p - 59*y**2 - 2 wrt y? 1408*p*y - 2*p - 118*y What is the second derivative of 17252*n*r**2 + 1759*n*r + n + r**4 wrt r? 34504*n + 12*r**2 Find the second derivative of 13342*g**2 + 2586*g - 5. 26684 Find the second derivative of -2457*q**3 - q + 22769 wrt q. -14742*q What is the second derivative of 70*v**5 + 2*v**3 + 24*v**2 + v + 185305? 1400*v**3 + 12*v + 48 Differentiate -297334*a**3 - 2*a - 2129674. -892002*a**2 - 2 Find the first derivative of -4*q**3 - 481068*q + 2507272. -12*q**2 - 481068 What is the second derivative of 52*l*p**2 - 44*l*p + 2*l + 166*p**2 + 7722*p + 1 wrt p? 104*l + 332 What is the third derivative of 1036*u**5 - 298*u**3
{ "pile_set_name": "DM Mathematics" }
Let q(l) = 4*l**2 - 2*l - 6*l**2 + 4*l**2 + 3 - 2 - l**3. Let z be q(1). Suppose 4*t = -k + 164, -k - 88 = -2*t - z*k. Is t a multiple of 14? True Let b(r) = -r. Let m be b(-5). Suppose -m*z + z = -88. Is z a multiple of 11? True Let m(i) = -i**2 - 11*i - 10. Let q be m(-8). Suppose 0*t = -2*t + 14. Let w = q + t. Is w a multiple of 13? False Let j(h) = 8*h - 2. Let u(c) = -24*c + 6. Let n(o) = 17*j(o) + 6*u(o). Let t be 0 - (4 + 3 + -5). Is 9 a factor of n(t)? True Let f = -77 - -133. Does 7 divide f? True Let b be 6/(-5)*(-20)/6. Let d(r) = 0 - 7 + b - 20*r. Does 19 divide d(-2)? False Suppose -4*n + 90 = n. Let b(v) = v**2 - 3*v + 4. Let r be b(3). Suppose -r*w + n = -w. Is w a multiple of 4? False Let l = 440 - 271. Is l a multiple of 12? False Let p(q) = 4*q - 7. Let d(y) = 3*y**3 + 14*y**2 - 17*y + 5. Let a(s) = s**3 + 7*s**2 - 8*s + 3. Let u(r) = 5*a(r) - 2*d(r). Let j be u(6). Does 9 divide p(j)? False Suppose 3*c - 81 = -5*y + 56, 3*y = -4*c + 80. Is 6 a factor of y? False Let m be ((-2)/6)/(1/3). Let x be -1 - m/2*2. Suppose -4*j = -x*j - 24. Is 5 a factor of j? False Suppose 6 = 5*m - 4*m. Suppose -4*j = 9 + 27. Is (m/j)/(4/(-126)) a multiple of 9? False Suppose 0*t = -4*t + 144. Is t a multiple of 9? True Suppose -2*m + 48 + 32 = 3*x, -x + 20 = 2*m. Let s = 26 + x. Does 14 divide s? True Suppose 0*m + 3*q + 67 = m, q + 1 = 0. Is m a multiple of 17? False Let s = -5 - -7. Suppose -f = -s*l + 3 + 8, -3*l + 29 = -4*f. Suppose 2*p + 51 = -l*j + 162, 2*p = -6. Is 13 a factor of j? True Is 26 a factor of (1 - 0)/(7/595*1)? False Suppose 8*g = 6*g + 14. Is 3 a factor of g? False Is 7 a factor of 15/(2/(3 - 1))? False Suppose -6*c = c - 560. Does 24 divide c? False Let a = 26 + -18. Let m = a + -6. Is m even? True Suppose 9*t - 4*t - 17 = 4*y, -3*y - 5 = 4*t. Let i be ((-3 - -3)/2)/2. Is (i/y + 28)*1 a multiple of 12? False Suppose -i - 1 = 5*t - 52, -5*t = -2*i - 63. Does 11 divide t? True Suppose -h + 76 + 12 = -4*w, 0 = 3*h - 12. Let d = -39 - w. Is 5 a factor of (d/15)/((-6)/40)? False Suppose 8 - 12 = 4*r. Let l(c) be the first derivative of 7*c**3/3 - c + 1. Does 6 divide l(r)? True Let w(y) = y**2 + y + 15. Does 2 divide w(0)? False Suppose 21 + 24 = m - 5*f, -4*f + 204 = 4*m. Does 12 divide m? False Let s be (-94)/(-10) - (-2)/(-5). Let v(r) = -r**2 + 5*r + 17. Let t be v(7). Suppose t*q - 30 = s. Is 13 a factor of q? True Let v(n) be the third derivative of n**4/8 + n**3/6 + 2*n**2. Is 7 a factor of v(2)? True Suppose -2*r - 6 = 3*z - 14, 3*r = -5*z + 14. Suppose -4*o + 20 + 40 = b, -2*o + 16 = z*b. Is o a multiple of 8? True Let l = -45 + 121. Suppose -c = -1, -4*w + 8*w - 203 = c. Let p = l - w. Does 10 divide p? False Let q be 3/6 + (-6)/(-4). Suppose 0 = -3*a - q*a + 2*x + 112, -a = -x - 20. Does 12 divide a? True Suppose 3*n - 132 = n. Is 12 a factor of -5*(1 - n/10)? False Does 11 divide (-1 + -2)*(-33)/3? True Suppose -4*z = 4*u - 4, -2*z + 4 = -u - 1. Does 16 divide (-4 - -3)/(z/(-44))? False Let x = 9 + 13. Let g be (-1)/3 + x/3. Let z = 15 - g. Does 3 divide z? False Suppose -2 - 4 = -3*r. Suppose -r*z + z = -17. Does 13 divide z? False Let l(s) = -6*s**2 - 45*s - 9. Does 3 divide l(-7)? True Suppose -4*q = -97 - 87. Suppose 4*o = 3*g + q, 2*g - 8 = -o - 2. Does 10 divide o? True Suppose 0 = -2*h + 6*o - 2*o + 20, -2*o = h - 6. Let w(s) = -s**3 + 7*s**2 + 11*s - 12. Is w(h) a multiple of 6? True Does 16 divide 568/28 - (-4)/(-14)? False Let p(i) = -3*i**2 - 4*i + 3. Let g(j) = -2*j**2 - 3*j + 3. Let z(l) = 4*g(l) - 3*p(l). Is z(6) a multiple of 18? False Suppose -3*q = -2 - 22. Is q a multiple of 8? True Suppose 4*u + 46 = -4*z + 10, 0 = -5*z + 15. Let p = -8 - u. Does 4 divide p? True Is -25*2*(-20)/25 a multiple of 10? True Let y(r) = -3*r. Let x be y(3). Suppose -3*h = -5*n + 111, 6*h - 2*h = -3*n + 55. Let d = x + n. Does 7 divide d? False Let a = 1 - -3. Suppose -o + 11 = -0*o - 5*l, -50 = -2*o - a*l. Is o a multiple of 16? False Suppose 14 + 1 = -3*r. Let c be 1/r - 27/15. Is 38/1 + (-4 - c) a multiple of 13? False Suppose c - 12 = -c. Suppose i + 170 = c*i. Does 14 divide i? False Suppose 15*m + 3 = 16*m. Suppose -s + 2 - 9 = 5*n, 4*n - 23 = -m*s. Does 10 divide s? False Does 23 divide 18*(-1)/((-6)/46)? True Let p(c) = -6*c - 38. Does 7 divide p(-9)? False Let u = -13 + 22. Let r(b) = b**2 - 7*b + 3. Let x be r(u). Let q = x - 5. Does 14 divide q? False Does 10 divide ((-20)/7)/(14/(-343))? True Suppose 0*b = -b. Let i = b - -2. Suppose c + 4*y = -0*c - 2, -5*c = i*y - 44. Does 5 divide c? True Suppose 0 = -4*a - a + 3*t + 22, 14 = 5*a - t. Suppose 1 = o - a. Suppose 0 = -5*c - o*i + 177 + 105, 5 = -5*i. Does 16 divide c? False Let w = -8 + 11. Suppose -w*k + 139 - 22 = 0. Suppose -1 = -5*p + k. Is p a multiple of 8? True Suppose 2*c - 5 = 1. Suppose 0*i - 6 = -c*i. Suppose 4*a + 2*b + 8 = 8*a, -i*b = -3*a + 4. Is a a multiple of 4? True Let u(a) = a**3 - 2*a**2 - 3*a + 8. Is 17 a factor of u(5)? True Suppose 3*v + 72 = b, 2*b + 2*v - 57 = b. Let m = 15 + b. Does 26 divide m? True Suppose 3*d = d + 10. Is 5 a factor of d? True Is 8 a factor of (-62 - -2)/(-5)*2/3? True Suppose 0 = 2*n - 1 - 13. Suppose 5*u - n = 8. Is u + 0 - (-2 - 5) a multiple of 5? True Suppose -5*u = -i + 2*i + 1, -i - 4*u = 0. Let h = 6 + i. Is h a multiple of 8? False Suppose -162 = -3*j - 0*h - 5*h, 2*h = 2*j - 124. Let v = -24 + j. Is v a multiple of 7? True Is (6 - 5) + (2 - -195) a multiple of 18? True Suppose -4*d + 91 + 61 = 0. Let g = 82 - d. Let l = 73 - g. Is 11 a factor of l? False Let y be (-54)/(-12)*6/9. Suppose h - 16 = -0*h. Let w = y + h. Does 9 divide w? False Let c be 714/(-15)*2*-5. Suppose -5*q + 891 - 83 = 4*k, 0 = 3*q - 2*k - c. Suppose -2*p = -6*p + q. Is p a multiple of 20? True Suppose -24 = 7*b - 3*b. Let c(r) = -r**3 - 7*r**2 - 8*r - 8. Let v be c(b). Suppose v - 10 = -l. Is 6 a factor of l? True Let a(b) be the second derivative of 25*b**3/6 - b**2 - 2*b. Does 24 divide a(2)? True Suppose 2*u + 12 = 168. Does 16 divide u? False Suppose 2 = 4*v - 10. Let h = 21 + v. Does 24 divide h? True Suppose t + 4*z - 32 - 28 = 0, -5*t - 4*z = -252. Is t a multiple of 16? True Suppose 0 = m - 4*m. Suppose t = -m*t. Is 3 a factor of 4/2 - (-3 + t)? False Let d(h) = -h**3 + 15*h**2 - 7*h + 1. Let o(i) = -i**2 + 1. Let z(g) = d(g) + 5*o(g). Is z(9) a multiple of 22? False Let c be ((-14)/1)/((-12)/42). Suppose 1 = 5*d - c. Is d a multiple of 3? False Let m be (-6)/9 - 492/(-9). Suppose 3*r - 49 = c, 2*c + r + m + 30 = 0. Let z = c + 60. Is z a multiple of 7? False Let v = -25 + 26. Suppose 33 = 2*m + v. Is 8 a factor of m? True Suppose 11*h - 391 = -72. Is h a multiple of 4? False Let j = 210 - 121. Is j a multiple of 12? False Let k = 4 + 1. Suppose -52 = -2*c - b, -2*c + 5*b - 60 = -4*c. Suppose 2*g = -k + c. Is 7 a factor of g? False Suppose -2*v - 3*v = -10. Suppose 3*r - v*o = -2*r + 148, 4*o + 44 = r. Is r a multiple of 14? True Let g = -15 - -87. Let c = -51 + g. Does 21 divide c? True Let m = -8 + 57. Is m a multiple of 7? True Let c(u) = -71*u - 3. Is c(-3) a multiple of 15? True Let d be (0 - 7) + 3*1. Let m = -6 - 5. Let o = d - m. Is o a multiple of 4? False Suppose 5*o = 3*v - 0*v - 154, 4*v = -o + 190. Is v a multiple of 22? False Let w be (-10)/((-4)/((-6)/(-3))). Suppose -5*r + 23 = -0*b + 4*b, -w*r + b = -13. Suppose r = 5*c - 17. Is 2 a factor of c? True Let v(d) = -d**3 - 5*d**2 + d - 4. Let c(h) = -h**2 + 2*h + 1. Let x be c(3). Let w = x + -4. Does 13 divide v(w)? True Let m = -2 + -1. Let c be -15*m/((-45)/(-6)). Let x = c + -4. Is x a multiple of 2? True Suppose -y + 4*y - 378 = 0. Suppose -84 = -5*g + y. Is g a multiple of 22? False Suppose -11 = -3*n + 13. Suppose 0 = g + 3*g - n. Suppose -m + g*m - 11 = 0. Is 6 a factor of m? False Suppose -4*n = -2*n - 56. Suppose n + 2 = 5*g. Is g a multiple of 4? False Let u(h) = -2*h**3 - 4*h**2 - 2*h. Let j be u(-2). Let x = -1 + j. Let d(k) = k**3 - 5*k + 2. Is 14 a factor of d(x)? True Let b be (3/(-6))/(2/(-124)). Let h = -20 + b. Suppose k - 2*k + h = 0. Is 11 a factor of k? True Let u(s) = -3 - 4 + 5 + s. Let v be u(3). Does 4 divide v/3 + 22/6? True Let j be 2 + 2 + -2 + 3. Does 15 divide (65 - j)*(-2)/(-4)? True Suppose -2*s + 6*s + 3*k - 225 = 0, 5*s
{ "pile_set_name": "DM Mathematics" }
vative of w(j) wrt j? 90*j Find the third derivative of 15*h**3 + 347*h**2 - 2*h**5 + 81*h**3 + 73*h**3 - 54*h**3 wrt h. -120*h**2 + 690 Let y(t) be the third derivative of t**2 + 0*t**3 - 13/120*t**6 - 4 + 1/15*t**5 + 0*t + 1/12*t**4. Find the third derivative of y(f) wrt f. -78 Suppose 7*u - 3*u = -2*j, 5*j = 4*u + 42. Let z(s) = 7*s + 14. Let q(y) = y + 1. Let w(r) = j*q(r) - z(r). What is the derivative of w(b) wrt b? -1 Find the second derivative of -218*i + 50*i - 633 - 409*i**2 + 633 wrt i. -818 Suppose -10 = -3*a - 2*a. Suppose 0*t - a*t = -16. What is the third derivative of t*s**2 - s**2 + s**2 - s**3 - 2*s**2 wrt s? -6 Let r(w) be the third derivative of -13*w**8/42 + w**7/42 + 169*w**5/30 - 463*w**2. What is the third derivative of r(q) wrt q? -6240*q**2 + 120*q Let c(l) be the first derivative of 22*l**6/3 + 301*l**2/2 + 23. What is the second derivative of c(i) wrt i? 880*i**3 What is the first derivative of 6 + 1 + 13*i + 6 + 0 wrt i? 13 Let w(y) = -356*y**3 - 1933*y**2 - 9*y. Let l(x) = -89*x**3 - 483*x**2 - 2*x. Let n(f) = 9*l(f) - 2*w(f). What is the third derivative of n(h) wrt h? -534 Let r(m) be the third derivative of 1/60*m**6 + 2*m**3 - 8*m - 3*m**2 - 1/8*m**4 + 0*m**5 + 0. Find the first derivative of r(k) wrt k. 6*k**2 - 3 Let s be 1 - (-10)/4 - (-5)/(-10). What is the first derivative of 0*j**2 + 2*j**2 + 23 + s*j**2 + 15 + j wrt j? 10*j + 1 Let q be (-2)/(1*(-3)/24). Find the third derivative of 0*n**5 + 13*n**5 + q*n**2 - 4*n**2 wrt n. 780*n**2 Suppose -2*v + 10 = 2*a, -5*a + 35 = -v - 2. Differentiate a*b + 4 + 3 - 2 - 2 wrt b. 7 Let v(r) be the first derivative of -r**5/5 + 84*r**2 + 210*r + 54. Differentiate v(o) wrt o. -4*o**3 + 168 Let c(d) = 9*d**3 - 53*d**2 - 346*d - 7. Let l(j) = 5*j**3 - 26*j**2 - 172*j - 3. Let g(t) = 4*c(t) - 9*l(t). Find the second derivative of g(m) wrt m. -54*m + 44 Suppose 0 = 2*y + 2*c - 6, y + 4*c - 15 + 3 = 0. Suppose 0 = -2*l - y*l + 4. Differentiate -d**l - 3*d**2 + d**2 + 2 with respect to d. -6*d Let q(a) be the first derivative of -5*a**4/4 - 14*a**3/3 - 301*a**2/2 + 94. Find the second derivative of q(m) wrt m. -30*m - 28 Let s(u) = -u**3 + 22*u**2 + u - 20. Let w be s(22). What is the first derivative of 7*v - v - 18 + w*v wrt v? 8 Let t(o) = 3*o - 2*o - 12*o**2 + 1 - o**2 + 0*o - 11*o**3. Let g(b) = -b**3 + b + 1. Let q(x) = -g(x) + t(x). Find the third derivative of q(a) wrt a. -60 Let l(z) = -397*z + 930. Let n(c) = -200*c + 465. Let p(f) = -2*l(f) + 5*n(f). Find the first derivative of p(u) wrt u. -206 What is the derivative of a + 3*a - 97*a**2 - 77*a**2 + 978 + 114*a**2 wrt a? -120*a + 4 Let x be 3*(2 - (-4)/(-6)). Suppose 3*q - 5 = -x*v, 3*q - 7*q + 9 = 3*v. What is the second derivative of 0 + s + 0 - q*s**4 wrt s? -36*s**2 Let x(h) be the first derivative of 0*h**2 + 0*h**3 + 2/5*h**5 + 0*h**4 + 40 + 7*h. Differentiate x(j) wrt j. 8*j**3 Find the second derivative of 4 + 105*b**2 + 2*b + 7 + 5 wrt b. 210 Let w(r) be the second derivative of 0 + 0*r**2 - 40*r + 0*r**3 - 29/20*r**5 + 1/2*r**4. Find the third derivative of w(z) wrt z. -174 Let l(x) be the first derivative of 47*x**4 - 40*x**3/3 - 2*x**2 + 151. What is the third derivative of l(n) wrt n? 1128 Let c(b) = b**2 + 2*b + 11. Let u be c(-5). Find the second derivative of 48*z - 3 + 52*z**3 + 5 - u*z wrt z. 312*z Let r(q) be the first derivative of 397*q**5/5 + 7*q**3/3 + 43*q**2/2 - 937. Find the third derivative of r(g) wrt g. 9528*g Let o be (0 + -3)*(1 + (-8)/2). What is the second derivative of -18*n**2 - 10*n - 2*n - o*n + 15*n**2 wrt n? -6 What is the second derivative of -23*d + d**5 - 20*d**3 - 18*d + 83*d**3 wrt d? 20*d**3 + 378*d Let w(b) = 6*b**3 + 7*b + 6. Let y = 3 + -1. Let v(o) = -5 + y + 8 - 4. Let r(u) = 6*v(u) - w(u). Find the second derivative of r(g) wrt g. -36*g Find the second derivative of -7*x**4 - 4 - 625*x + x**3 - 4 + 613*x wrt x. -84*x**2 + 6*x Let m be -5 - 20/(-4 + 0). Let u(i) be the third derivative of 0 + 9*i**2 + m*i**3 + 0*i - 7/60*i**5 + 1/6*i**4. What is the second derivative of u(f) wrt f? -14 Let g be 4/18 + (-416)/(-72). Suppose 4*v - g = 10. Differentiate -3 + 5 - 2*l**3 + v with respect to l. -6*l**2 Let h(t) be the third derivative of -43*t**7/210 - 41*t**5/30 + 74*t**2. What is the third derivative of h(y) wrt y? -1032*y Let i(v) be the third derivative of 7/30*v**5 + 11/168*v**8 + 0*v + 0*v**4 + 0 + 0*v**6 + 7*v**2 + 0*v**7 + 0*v**3. Find the third derivative of i(r) wrt r. 1320*r**2 Find the first derivative of 625 + 35*j + 149 - 35*j + 341*j**4 - 90*j**4 wrt j. 1004*j**3 Let o(d) be the second derivative of -155*d**3/6 - d**2/2 + d - 46. Find the first derivative of o(g) wrt g. -155 Let m(w) be the first derivative of -w**8/560 - w**5/24 - 8*w**3 - 14. Let o(g) be the third derivative of m(g). What is the second derivative of o(v) wrt v? -36*v**2 Let n(d) = -2*d**2 - 11*d + 1. Let v be n(-4). Let p be (-4)/8 + 21/6. Find the first derivative of -1 + v*z - 13*z + 11*z**p wrt z. 33*z**2 Let h(c) be the second derivative of -67*c**5/20 + 107*c**4/6 + 23*c - 2. What is the third derivative of h(w) wrt w? -402 Let d(h) = h. Let s be d(7). Let f(v) = -v + 11. Let i be f(s). Differentiate 0 + 3 - 4 + 3*p**4 - 2*p**i with respect to p. 4*p**3 Find the second derivative of -6 + 19 + 5*n**3 - 9*n - 7*n**4 - 8 + 2*n**3 wrt n. -84*n**2 + 42*n Suppose -5*o + t = -12 - 23, 5*o + t = 25. What is the second derivative of -8*j + 2*j**2 - o*j**2 + j**2 + 2*j wrt j? -6 Let h(p) = -200*p**3 + 2*p - 49. Let a(g) = 2*g**3 + 1. Let t(m) = 3*a(m) + h(m). Find the second derivative of t(c) wrt c. -1164*c Let h(b) = -b**5 - 1. Let n(k) = 46*k**5 + 10*k**2 + 4. Let x = 84 + -88. Let p(f) = x*h(f) - n(f). What is the third derivative of p(m) wrt m? -2520*m**2 What is the second derivative of -13 + 71*a + 497*a**4 - 20 + 54 - 19 wrt a? 5964*a**2 Let n(z) be the second derivative of 0*z**5 + 0*z**2 + 0 + z + 0*z**6 - 17/6*z**3 - 1/42*z**7 + 0*z**4. What is the second derivative of n(d) wrt d? -20*d**3 Let i(o) be the third derivative of 3*o**2 + 1/40*o**6 + 0 + 0*o**5 + 0*o + 0*o**4 - 1/2*o**3. Find the first derivative of i(s) wrt s. 9*s**2 What is the second derivative of 10*p - 9*p - 48*p**4 + p**5 - 83 + 62 - 192 wrt p? 20*p**3 - 576*p**2 Let d(l) be the third derivative of -l**6/60 + 13*l**4/12 + 49*l**3/6 - 445*l**2. Find the first derivative of d(h) wrt h. -6*h**2 + 26 Let l be 310/110 + (-2)/(-11). Let b(n) = 3*n**l - 4 - 5 + 3 + 0. Let s(y) = -y**3 + 3. Let q(z) = -6*b(z) - 11*s(z). What is the derivative of q(f) wrt f? -21*f**2 Let g(o) = 44*o - 50. Let c(p) = 44*p - 55. Let v(s) = -3*c(s) + 2*g(s). What is the first derivative of v(h) wrt h? -44 Let u(l) be the third derivative of -197*l**6/40 - 19*l**5/30 - l**4/8 + 67*l**2 - 2*l. What is the third derivative of u(f) wrt f? -3546 Let p(i) = -2*i - 12. Let u be (-6 - 32/(-6))*18/(-2). Let h = 30 - 19. Let k(m) = 3*m + 23. Let a(j) = h*p(j) + u*k(j). Differentiate a(b) wrt b. -4 Let a(w) be the second derivative of -3*w**7/14 - w**5/10 - 3*w**3/2 - 4*w**2 - 176*w. Find the second derivative of a(j) wrt j. -180*j**3 - 12*j Let j(z) be the second derivative of 13*z**8/6720 - z**5/40 - z**4/4 + 9*z. Let g(w) be the third derivative of j(w). Differentiate g(x) with respect to x. 39*x**2 What is the derivative of -10 - 3*s - 115*s + 3 wrt s? -118 Let i = 3013 - 1458. Find the first derivative of -1555*t**3 + i*t**3 - 15*t**4 - 15 wrt t. -60*t**3 Let v(m) be the second derivative of 0*m**5 + 0*m**2 + 0 - 1/15*m**6 + 0*m**3 + m + 1/12*m**4. What is the third derivative of v(n) wrt n? -48*n Find the second derivative of -73*w - 3 + 0 - 5 + 47*w**4 + 74*w - 3 wrt w. 564*w**2 What is the first derivative of 820923*f**3 - 820830*f**3 - 208 - 818 wrt f? 279*f**2 Let g(d) be the first derivative of 2*d**3/3 + 35*d**2 - 182*d - 205. Find the first derivative of g(p) wrt p. 4*p + 70 Suppose 14 = -3*j - 4*t, 0 = 3*j - 0*t - 5*t + 23. Let v = 9 + j. Find the third derivative of 3*s**2 + s**4 - s**2 - v*s**4 wrt s. -48*s Suppose w - 8 = -3*w. Suppose -17*h + 15*h = -4. What is the third derivative of 0*t**4 - 2*t**2 + 12*t**w + 7*t**4 - 2*t**h wrt t? 168*t Suppose 13*d = 15*d - 8. Let a be (7/(-14))/(2/(-12)). Differentiate 0*r - 2*r - d - a*r
{ "pile_set_name": "DM Mathematics" }
is -61707 + 55? -61642 In base 2, what is -110111 - 10100010111011001? -10100011000010000 In base 13, what is 239 - -a1461? a169a In base 13, what is 90 - 3b74? -3ab4 In base 3, what is -220202111121 - -111110? -220202000011 In base 10, what is -2174343 + -11? -2174354 In base 2, what is 100000010011110001110001111 + -11? 100000010011110001110001100 In base 12, what is 271b846 - 1? 271b845 In base 11, what is 30a04955 + -4? 30a04951 In base 10, what is -91 - -202419? 202328 In base 12, what is -16b4 + -4668? -6160 In base 16, what is 17 + a72932? a72949 In base 14, what is -23 + -17058? -1707b In base 8, what is 40134 - 135405? -75251 In base 8, what is 763036 + -21? 763015 In base 11, what is 3568 + 751? 4209 In base 8, what is -524142112 + 6? -524142104 In base 12, what is -62652 + -24? -62676 In base 13, what is 16 + 822085? 82209b In base 5, what is 130 + -13032313? -13032133 In base 14, what is -a5b - 7b00? -875b In base 8, what is 24577 - -11236? 36035 In base 15, what is -94c - 100? -a4c In base 16, what is 1bf9070 - -5? 1bf9075 In base 9, what is -8566 - 66345? -76022 In base 10, what is -830 + -9310? -10140 In base 6, what is -3420 + -120453? -124313 In base 2, what is -1010011 + 101011110100000000? 101011110010101101 In base 13, what is 127 + -84c7? -83a0 In base 2, what is -1010010011101100110000000 + -100? -1010010011101100110000100 In base 11, what is 32260659 + 4? 32260662 In base 6, what is -5350 - -2142101? 2132311 In base 12, what is -443338 - -18? -443320 In base 4, what is 11001020222 - 2? 11001020220 In base 15, what is -e91 + -6a0? -1641 In base 3, what is -22211201221 - 121222? -22212100220 In base 10, what is -613059 - -4? -613055 In base 4, what is 20303 - -2203013? 2223322 In base 3, what is -10122020 - -20000011? 2100221 In base 10, what is -186 - 42325? -42511 In base 8, what is 347 + -1736366? -1736017 In base 12, what is 73749 + -2067? 716a2 In base 8, what is 17 - 25513406? -25513367 In base 8, what is 114740 + -3006? 111732 In base 15, what is e5 - -1ba675? 1ba76a In base 3, what is -12 + 20010100022121? 20010100022102 In base 7, what is 4 - -1441344133? 1441344140 In base 11, what is -109063 - -2? -109061 In base 15, what is -1e85c3 - -d4? -1e84de In base 12, what is 1ba6 + 3861? 5847 In base 15, what is -176d55 - 10? -176d65 In base 8, what is 1 + -1072375224? -1072375223 In base 3, what is 200000220010202 + -12? 200000220010120 In base 15, what is -3 + 3d8436? 3d8433 In base 5, what is 100112000031 + 3? 100112000034 In base 4, what is 1 - 13112323212? -13112323211 In base 5, what is -120433401432 + -11? -120433401443 In base 4, what is 13211020221320 + -1? 13211020221313 In base 13, what is -4912 - -50? -4892 In base 2, what is -10001101 - 11100011000011111111? -11100011000110001100 In base 11, what is 558a318 - 10? 558a308 In base 11, what is 7023a0 + 2? 7023a2 In base 15, what is 4 - -3a7c93? 3a7c97 In base 12, what is b6 + -b94ba? -b9404 In base 13, what is 3599c + 64? 35a33 In base 12, what is -18 + -b347318? -b347334 In base 8, what is 124576 - 1746? 122630 In base 7, what is -46211126 - 5? -46211134 In base 9, what is -20 - -64271210? 64271180 In base 12, what is -95b91b9 + 10? -95b91a9 In base 6, what is -4145 - 111321? -115510 In base 3, what is 1010110021110000 + 2011? 1010110021112011 In base 9, what is -53 - 8016733? -8016786 In base 13, what is 13 + 25b779? 25b78c In base 8, what is 245 - 3026? -2561 In base 4, what is 101233 - -30002112? 30110011 In base 6, what is -41455 - -14231? -23224 In base 6, what is -240 + -53443050? -53443330 In base 9, what is -8103543 - 3? -8103546 In base 5, what is -11443230324 - 1? -11443230330 In base 4, what is 20020210011 - -21? 20020210032 In base 14, what is -13 + 1a73cc? 1a73b9 In base 11, what is -29 - 2100134? -2100162 In base 5, what is 202 + -3312302? -3312100 In base 4, what is -212201231 - 30101? -212231332 In base 15, what is 5 - 8b0e31? -8b0e2b In base 2, what is -100000000100001110110101 - -101011? -100000000100001110001010 In base 6, what is 45525 + 15120? 105045 In base 6, what is -133 - -121041025? 121040452 In base 9, what is 1 + 126517285? 126517286 In base 6, what is 223350234 + -2? 223350232 In base 4, what is -1122023301120 + 33? -1122023301021 In base 12, what is 27291ba1 + -5? 27291b98 In base 5, what is 24 + -3423111? -3423032 In base 9, what is 11021 - -80184? 101215 In base 4, what is 2 - 1121310221231? -1121310221223 In base 5, what is 220331232312 - 0? 220331232312 In base 15, what is -385c045 + 4? -385c041 In base 16, what is -56 + -36ff6? -3704c In base 16, what is -87f3 - -95? -875e In base 8, what is -21034 + -622? -21656 In base 4, what is 223220 - 21000? 202220 In base 14, what is -1a9cd4a - 0? -1a9cd4a In base 14, what is 6314 + -2cb? 6027 In base 15, what is -4 + 2c58db? 2c58d7 In base 14, what is -39 + -23d0d? -23d48 In base 11, what is -20 + 459383? 459363 In base 5, what is -2440143 - 10142? -3000340 In base 13, what is -2 - 28a6175c? -28a61761 In base 2, what is -10001001000100 - 10100100000? -10011101100100 In base 6, what is 0 - -2354220031? 2354220031 In base 6, what is 14 - -1455342130? 1455342144 In base 11, what is -34451864 - -14? -34451850 In base 10, what is -5 + -5605637? -5605642 In base 9, what is -4605 - -6676? 2071 In base 8, what is 11116 - 20521? -7403 In base 10, what is 175 - 66125? -65950 In base 8, what is 0 + 13252414? 13252414 In base 13, what is 3b625 - -138a? 3c9b2 In base 3, what is 201112000021201 + -222? 201112000020202 In base 10, what is 3273514 + 34? 3273548 In base 14, what is 152047 - 6? 152041 In base 13, what is -128b - 8384a? -84b08 In base 14, what is -174a483 + 5? -174a47c In base 7, what is -243411 - -2140? -241241 In base 10, what is 181703122 - 1? 181703121 In base 6, what is -2254 - 240110? -242404 In base 16, what is 6 + 7ab80? 7ab86 In base 7, what is 413034415 + 3? 413034421 In base 8, what is -1540 + -166636? -170376 In base 16, what is -3f666 + 16? -3f650 In base 2, what is 101110011100111010 - 10110001? 101110011010001001 In base 14, what is -14 + 332297? 332283 In base 11, what is 0 + 958a03? 958a03 In base 13, what is -730 - 35bb2? -36612 In base 15, what is -b08c62d + -4? -b08c632 In base 11, what is 0 + -1132527? -1132527 In base 2, what is -100 + 101010110010001000000? 101010110010000111100 In base 11, what is -510a4759 + -3? -510a4761 In base 8, what is -637 - -2442547? 2441710 In base 13, what is 15 - 9064989? -9064974 In base 4, what is 0 + -211203221112? -211203221112 In base 11, what is -62425904 + 5? -624258aa In base 3, what is -11 - -12112121102012? 12112121102001 In base 2, what is -1010100111111010100101 + -100010? -1010100111111011000111 In base 13, what is b396c2 - -14? b39706 In base 5, what is 24421 - -4200020? 4224441 In base 7, what is -1115 + 150112? 145664 In base 12, what is 3a0851 + -161? 3a06b0 In base 6, what is 242441522 - -5? 242441531 In base 5, what is 11232120403 + -101? 11232120302 In base 5, what is 2321402 + 2213? 2324120 In base 15, what is -11a5 + ad59? 9ba4 In base 4, what is 11 + -230112132222? -230112132211 In base 3, what is -120200211212210010 + 10? -120200211212210000 In base 13, what is c356 + 1675? 109cb In base 6, what is 140100 + -353520? -213420 In base 10, what is -127612 + 2317? -125295 In base 14, what is -792db - -79a? -78941 In base 15, what is -1a2d - 27? -1a55 In base 11, what is -6 - 10635631? -10635637 In base 8, what is 1 + 6100716? 6100717 In base 4, what is 101103002 + 2003? 101111011 In base 16, what is 114f92 - 2? 114f90 In base 3, what is -211 + 21121112200101? 21121112122120 In base 16, what is -3c - 8e277? -8e2b3 In base 13, what is -2b950 - 43? -2b993 In base 5, what is 113 + 1310132? 1310300 In base 7, what is -25 + -110365403? -110365431 In base 5, what is -2 - -1112343300? 1112343243 In base 2, what is -100 + -1110011001101100001000001? -1110011001101100001000101 In base 14, what is 1 + 323d74? 323d75 In base 10, what is 29 + -1026459? -1026430 In base 16, what is 2e6d + 516? 3383 In base 2, what is 1011011 - 1011010011011001111? -1011010011001110100 In base 2, what is -10100110001101000101 - -110001? -10100110001100010100 In base 7, what is -306612 - -55? -306524 In base 6, what is -124022 - 54120? -22214
{ "pile_set_name": "DM Mathematics" }
u**2/2 - 141. What is q(i(t))? 90*t**2 Let i(h) = -6*h**2. Let v(d) be the third derivative of 0*d**3 + 5*d**2 + 0 + 0*d**4 + 1/30*d**5 + 0*d. Calculate v(i(f)). 72*f**4 Let w(o) = 10*o**2 + 1171*o - 2. Let j(k) = k. Give j(w(r)). 10*r**2 + 1171*r - 2 Let g be (-4)/8 - 11/(-2). Let u(z) = g*z**2 - 4*z**2 - 2*z**2 - z**2. Let s(i) = -2*i**2 - 24*i. Calculate u(s(r)). -8*r**4 - 192*r**3 - 1152*r**2 Let d(w) = -w. Suppose 1 = p, -3*p - 19 = 3*y + 17. Let u = y + 15. Let n(b) = -1 - 3 - u*b + 4. What is n(d(a))? 2*a Let o(l) = -423337*l. Let i(n) = -2*n. What is i(o(c))? 846674*c Let y(v) be the second derivative of 29*v**4/12 + v. Let g(u) = -9*u**2 - 4. Let o(f) = -11*f**2 - 5. Let z(p) = 5*g(p) - 4*o(p). Determine z(y(t)). -841*t**4 Let g(k) = -108702*k**2. Let f(j) = -j + 12. What is f(g(w))? 108702*w**2 + 12 Let b(v) = 865*v. Let l(i) = 7*i - 5*i + 721 - 721. Calculate b(l(n)). 1730*n Let j(f) = -461*f**2 - 1. Let x(m) = 20*m. Give x(j(w)). -9220*w**2 - 20 Let x be (3/5)/((-4)/(-20)). Let k(c) = 3*c**2 - 4*c. Let o(h) = 3*h**2 - 3*h. Let v(i) = x*k(i) - 4*o(i). Let z(f) = f**2. What is v(z(n))? -3*n**4 Let r(o) = -3*o - 2. Let m(f) = 19*f + 13. Let v(y) = -6*m(y) - 39*r(y). Let t(k) be the second derivative of -k**4/3 + 2*k. Determine t(v(l)). -36*l**2 Suppose -3*y - 60 = 2*y. Let u = 20 + y. Let o(s) = -u*s**2 - s + 10*s**2 + s. Let v(i) = -10*i**2. What is o(v(k))? 200*k**4 Let h(g) = g. Let r(c) be the first derivative of -7*c**2/2 + 17*c - 18. Let s(p) = -p + 2. Let b(n) = 6*r(n) - 51*s(n). Calculate b(h(a)). 9*a Let r(p) = 81*p - 1. Let d(m) = -7*m**2. What is d(r(u))? -45927*u**2 + 1134*u - 7 Let q(x) = -x**2 - 4*x - 4. Let j(u) = -u**2 - 3*u - 3. Let r(d) = 4*j(d) - 3*q(d). Let m(n) be the third derivative of n**4/8 - 23*n**2. Calculate r(m(t)). -9*t**2 Let n(b) = b**2 - 5*b - 5. Let k(u) = u**2 - 4*u - 4. Let p(i) = -5*k(i) + 4*n(i). Let q = 0 + 4. Let t(m) = m + m - q*m. Calculate t(p(z)). 2*z**2 Let b(q) = 4*q**2 - 14*q + 14. Let k(l) = l**2 - 3*l + 3. Let s(g) = 3*b(g) - 14*k(g). Let r(p) = 31*p**2 - 210*p + 210*p. Calculate r(s(f)). 124*f**4 Let i(m) = -20*m. Let w(a) = 20*a. Let c(z) = 5*i(z) + 6*w(z). Let n(l) be the first derivative of l**2 - 14. Calculate c(n(h)). 40*h Let h(i) = -10*i. Suppose 3*j + 7*j = 3*j. Let c(s) be the second derivative of 1/3*s**3 + 0*s**2 + j - 2*s. Calculate c(h(o)). -20*o Let c(x) = -8*x**2. Let s(t) = -110598*t**2. Give c(s(i)). -97855340832*i**4 Let i(q) = -q**2. Let a(b) = 12022*b. Calculate a(i(z)). -12022*z**2 Let n(t) = 1450*t. Let z(x) = 16*x + 7. Give n(z(h)). 23200*h + 10150 Let r(d) be the first derivative of -8 - 1/2*d**2 + 0*d. Let f(j) be the first derivative of -5*j**3/3 + 1. What is r(f(n))? 5*n**2 Let j(a) = 114 - 2*a - 114. Let w(v) be the third derivative of v**7/1680 + v**5/60 + v**2. Let u(l) be the third derivative of w(l). What is j(u(b))? -6*b Let q(t) = 2963*t. Let w(l) = -48*l. Calculate w(q(v)). -142224*v Let i(z) = 2*z**2. Suppose 4*h = 7*h - 39. Let j(b) = -11*b - 8*b - h*b. What is j(i(r))? -64*r**2 Let j(k) = -k - 2. Let p = 38 + -39. Let h(y) = 5*y + 12. Let o(x) = p*h(x) - 6*j(x). Let m(z) = -44*z**2. Give o(m(c)). -44*c**2 Let o(r) = -r**2. Suppose g + 6 = 4*g. Let i(p) = -g*p + 344 - 344. Determine i(o(b)). 2*b**2 Let x(f) = 26520*f**2. Let v(n) = 2*n. What is x(v(k))? 106080*k**2 Let y(h) be the third derivative of -11*h**5/20 + 23*h**2 + 1. Let a(b) = -4*b. Determine a(y(r)). 132*r**2 Let z = -27 - -29. Let h(q) = -6*q**2 + 18*q**z + 27*q**2. Let k(n) = -n. Calculate k(h(m)). -39*m**2 Let w(j) = -4*j. Let n(g) be the first derivative of 88*g**2 - 847. Calculate w(n(v)). -704*v Let o(s) = -5*s**2. Let g(u) be the second derivative of u**6/240 + 5*u**4/6 - 15*u. Let p(y) be the third derivative of g(y). What is o(p(t))? -45*t**2 Let r(q) = 3*q**2 + 4445*q. Let s(y) = 3*y. Determine s(r(z)). 9*z**2 + 13335*z Let l(p) = -10*p + 3. Let t(u) = u. Let c(q) = -2*l(q) - 22*t(q). Let d(g) = 1. Let y(j) = -c(j) - 6*d(j). Let h(w) = 10*w**2. Calculate y(h(b)). 20*b**2 Let q(u) = 34*u**2 - 2. Let t(s) = -74*s**2. What is t(q(l))? -85544*l**4 + 10064*l**2 - 296 Let v(t) = -4*t - 31. Let d be v(-8). Let w(j) = 52*j**2 - d - 49*j**2 + 1. Let r(k) = 4*k. Give w(r(m)). 48*m**2 Let d(x) = -116*x - 128*x + 226*x. Let q(a) = 21*a**2. Give q(d(f)). 6804*f**2 Let c(x) = 8*x + 9. Let z(q) = -63*q**2 - 7. Give c(z(o)). -504*o**2 - 47 Let a(u) = -4*u**2. Let t(i) = -2 + 15 + 5*i - 6 + 1. What is t(a(c))? -20*c**2 + 8 Let b(h) = -88*h**2 - 110*h. Let v(u) = 5*u**2 + 6*u. Let s(q) = -3*b(q) - 55*v(q). Let j(x) = 2*x**2. What is s(j(t))? -44*t**4 Let i(h) = -18*h**2. Let y(w) = -9441*w. Calculate i(y(b)). -1604384658*b**2 Let s(d) = -2715120*d. Let m(w) = 4*w. Determine m(s(f)). -10860480*f Let y(u) = -6*u**2 - 206*u - 1. Let t(n) = -25*n. Calculate t(y(r)). 150*r**2 + 5150*r + 25 Let o(c) = -8*c. Let r be 52/14 + 1 + (-10)/14. Let d(l) = 12 - r - 3*l - 8. What is o(d(n))? 24*n Let a(h) = -27428*h**2 - h. Let r(j) = -29*j. Determine r(a(w)). 795412*w**2 + 29*w Let u(h) = -2*h**2 - 19350*h. Let t(l) = -l. What is t(u(p))? 2*p**2 + 19350*p Let f(w) = -326*w. Let q(k) = 2*k**2 - 96*k. Calculate q(f(c)). 212552*c**2 + 31296*c Let z(b) = -2*b. Let l(o) be the first derivative of -4 - 69/2*o**2 + 0*o. Give z(l(m)). 138*m Let b(v) = -v. Let p(f) = 18932*f. Determine p(b(n)). -18932*n Let w(x) = 77*x**2. Let l(r) be the second derivative of -r**3/2 + 604*r. What is w(l(g))? 693*g**2 Let z(r) = -r**2 - 10*r - 12. Let a be z(-9). Let u = a - -5. Let h(o) = -2*o + 3 - u - 1. Let g(l) = -6*l**2. What is h(g(m))? 12*m**2 Let o(l) = 2*l - 5*l + 4*l. Suppose -12 = -10*u + 8. Let p(h) = -9*h + 8*h**2 - 7*h**u + 9*h. Determine p(o(m)). m**2 Let m(j) = 2*j. Let s(z) = -15677*z**2. Give m(s(v)). -31354*v**2 Let w(b) = 2*b. Let k(f) = 53609*f. Calculate k(w(d)). 107218*d Let l(u) be the first derivative of u**2 + 3. Let y(t) = -21*t**2 - 4*t. Let n(z) = 20*z**2 + 3*z. Let w(j) = 4*n(j) + 3*y(j). What is l(w(x))? 34*x**2 Let o(s) = -5300287*s. Let r(a) = 2*a. What is o(r(z))? -10600574*z Let s(l) = -394*l**2. Let o(n) = -8*n + 7. Let m(h) = -7*h + 6. Let q(x) = 7*m(x) - 6*o(x). Calculate q(s(k)). 394*k**2 Let c(s) be the second derivative of 0*s**2 - 1/3*s**3 + 0 - 2*s. Let a(l) = 7*l + 11*l - 18*l + 8*l. Give a(c(z)). -16*z Let o(a) = 14808*a**2. Let u(i) = 5*i**2. Calculate o(u(h)). 370200*h**4 Let p(w) be the first derivative of -w**5/60 + w**3 + 2*w - 39. Let g(a) be the third derivative of p(a). Let c(j) = 8*j**2. Calculate c(g(i)). 32*i**2 Let k(m) = m**2. Let a(f) be the second derivative of 0*f**2 + 7/3*f**3 - 3*f + 0. Calculate a(k(i)). 14*i**2 Let z(l) = 4*l. Let d(i) be the second derivative of -1/2*i**4 + 0*i**3 + 0 + 0*i**2 + 12*i. Determine d(z(n)). -96*n**2 Let o(u) = 4584*u. Let r(n) = -12*n. Give r(o(l)). -55008*l Let z(p) = 3086*p**2 - 2635*p**2 + 0*p + 0*p. Let b(v) = 2*v**2. Calculate z(b(f)). 1804*f**4 Let p(v) be the second derivative of 41*v**3/6 - 214*v. Let c(a) = -a. Let w(n) = n. Let h(l) = 5*c(l) + 4*w(l). Give h(p(i)). -41*i Let w(r) be the second derivative of r**6/720 + 11*r**4/4 - 29*r. Let u(m) be the third derivative of w(m). Let o(s) = -s**2 - 5*s. What is u(o(z))? -z**2 - 5*z Let y(s) = 13*s. Let o(b) = 7*b - 26. Let m be o(4). Let n(u) = -m*u + 7*u - 4*u. What is y(n(d))? 13*d Let k(z) = 2*z. Let c(f) = -2*f**2 - 1493*f + 4. Determine c(k(x)). -8*x**2 - 2986*x + 4 Let u(l) = -3*l. Let f(v) be the first derivative of 0*v**3 - 4 + 1/3*v**4 - v + 0*v**2. Let b(y) be the first derivative of f(y). What is b(u(q))? 36*q**2 Let l(z) be the third derivative of -z**4/4 - 3*z**2. Let y(d) = 35*d - 66*d + 32*d. Determine l(y(t)). -6*t Let m(c) = -c**3 + 3*c**2 + 7*c - 6. Let b be m(4). Let a(r) = r + 1 + 5 - b. Let k(j) = 3*j. Calculate a(k(h)). 3*h Let i(p) = -2*p**2 - p**2 + 0*p**2. Let m(r) = r - 5. Let o(j) = -3. Suppose 2*u = 5*u + 5*h, 2*h = 2*u - 16. Let t(g) = u*o(g) - 3*m(g). Give i(t(s)). -27*s**2 Let l(n) = 32*n**2 - 4. Let z(r) be the second derivative of -r**4/6 - 479*r + 2. Determine z(l(b)). -2048*b**4 + 512*b**2 - 32 Suppose k - 6136 = -4*k + d, 0 = -2*k + 2*d + 2448. Let a(u) = -k + 1228 - 28*u. Let j(f) = -2*f. Determine j(a(i)). 56*i Let n(o) = -2*o. Let h(k) = 2
{ "pile_set_name": "DM Mathematics" }
3 assuming t is positive. t**(16598/21) Simplify (w**(2/11)*w*w/(w*w**(-9)))**(-27)*(w**(-2))**(-20)/((w*(w*w*w**(-1/6))/w)/(w*w**(7/2)*w)) assuming w is positive. w**(-7631/33) Simplify (((g**42)**(-23))**(-13/2))**(4/9) assuming g is positive. g**(8372/3) Simplify (q**14/(q/q**(3/17))*(q*q**(-16)*q)/(q/(q*q*(q*(q/((q/q**(3/7))/q))/q*q)/q)))**(-3/4) assuming q is positive. q**(-573/476) Simplify (i*i*i*i/(i*i**(-2)*i*i*i)*i/(i/(i/i**(-7))))/(i/(i**1/i))**(-49)*(i**3/i**(5/4))/(i**(2/3))**(-32) assuming i is positive. i**(985/12) Simplify ((n**2/n)/n**(1/2)*n*n/(n**6*n*n)*(n/(n*((n**(-3/7)*n)/n)/n*n))/n)/(n**(-4)*n/(n/(n/n**(-4/5)))*n*n*n/n**4*n*n**1) assuming n is positive. n**(-341/70) Simplify (((q**(1/3)*q)/q**(2/7))/(q**(-18)*q**(-3/8)))**(-9) assuming q is positive. q**(-9789/56) Simplify (r/r**(-6/5)*r*r**(-1/4)*r)**13/(r**(-2/15)*r/r**(1/18)*r*r*r)**7 assuming r is positive. r**(4441/180) Simplify (((m**(2/39)/(m/(m**3*m)))/((m/m**(2/19)*m)/((m*m*m*m*(m*m*m/(m**(-10)/m)*m)/m)/m)))**(-1/32))**(-3/13) assuming m is positive. m**(6727/51376) Simplify h*h**15*h**(-1)*(h**(-41)*h)/h**(-7) assuming h is positive. h**(-18) Simplify ((v*v**(2/3))**(-7/4))**(1/64)*(v/((v/(v**(1/4)/v))/v)*v/(v*v/(v*v*(v*v**(-1/6))/v*v)*v*v*v))**(-45) assuming v is positive. v**(31645/768) Simplify ((w*w/w**(1/5)*w)/w**(-1/3))**50/((w/w**1)**(-4/3))**(-1/26) assuming w is positive. w**(470/3) Simplify ((y*y**(-4/5)*y)/y**8)/((y/(y/y**(-1/4)))/y**(-1/7))*((y**(-1/3))**(8/5))**(-42) assuming y is positive. y**(2199/140) Simplify ((a/a**(2/21)*a*a)**35/(a**15/a*a/(a/(a*a**(-10)))))**(3/23) assuming a is positive. a**(290/23) Simplify (b**(-4/7)*b**(-9)/b)**(-49)*(b/b**0)**(-36)*(b/((b/b**1)/b))**(1/30) assuming b is positive. b**(7231/15) Simplify ((x/x**(-1/4))**(15/4))**(-6)/(((x*x**3*x)/x)/(x**(2/29)/x)*x/(x/(x/(x**(2/7)*x)))*x**(-4)) assuming x is positive. x**(-46723/1624) Simplify ((t/((t**(-40)*t)/t)*t)/t)**(-3/8)/(((t/(t/(t/t**(-22))))/t)/(t/((t**(-13)*t)/t))) assuming t is positive. t**(-187/8) Simplify ((c/((c*c/(c*c*c**(-2/9)*c))/c)*c)/(c*c**(8/3)))**(-29)/(c**(1/2)*(c*c**(-1/3))/c*(c**(-1))**(-9/10)) assuming c is positive. c**(-193/45) Simplify k**(2/11)/k*k**(2/5)*(k/(k*k**(-4/3)))/k**6*(k**(-4/5)*(k/((k**(2/29)*k)/k))/k)/(((k/(k/k**2*k*k*k))/k)/k)**(-4/13) assuming k is positive. k**(-427777/62205) Simplify ((v/v**(-17))**(6/11)*v**33*v**(-21))**(-3/4) assuming v is positive. v**(-180/11) Simplify s*s*s*s**(-1/6)*s*s**(2/11)*s*(s*s**(-1/4))**(24/13)*((s**4*s*s)/s*s)/s**(4/3)*s*(((s/(s/s**4*s))/s)/s*s*s)/s*s/((s**(-1)*s)/s) assuming s is positive. s**(4595/286) Simplify ((((g/((g*(g**(3/4)/g*g*g)/g)/g))/g*g*g)/g)**(3/2)/(g/(g*((g/(g**(-3/14)*g*g)*g)/g)/g*g)*g*g*g*g*g*g/g**(-17/4)*g*g*g))**(-30) assuming g is positive. g**(11475/28) Simplify ((d**1*d*d*d*d)/(d**(-2/9)/d))**(-20)/(d**(2/3)*d*d**2)**(-17/4) assuming d is positive. d**(-3919/36) Simplify ((o**(-1/5)/o**5)/(o**(-2/3))**(32/7))/((o*o**2)**(-2/47))**(1/35) assuming o is positive. o**(-10604/4935) Simplify ((p**0)**(2/89)*(p**(-2/3)/p)**(2/9))**(2/27) assuming p is positive. p**(-20/729) Simplify ((u**(1/4)/(u*u*u**(-5)*u))/((u*u**(2/7)/u)/u)**(14/15))/(((u/(u**(1/5)/u*u))/u)**(14/15))**(9/2) assuming u is positive. u**(1127/300) Simplify ((z**(-25)*z)/z)/z**44*(z**(-5/11))**(-4/13) assuming z is positive. z**(-9847/143) Simplify (d*d/d**(1/2))**(-45)/(((d/((d/d**7)/d))/d)/(d/(d*d**(-4)*d*d*d)*d*d))*((d*d*d*d**(-7/4))/d**(-3/8))**(-31) assuming d is positive. d**(-975/8) Simplify m**(-3)/(m/(m*m**(43/5)))*(m/m**(-2/27))**(1/10) assuming m is positive. m**(1541/270) Simplify ((i**(-3/2))**(-3)/(((i/i**(-2/3)*i)/i)/i*i/(i/i**10)*i))**(-12) assuming i is positive. i**86 Simplify ((m/((m*m**(-6)*m)/m))/m*m**(-7))/(m**2/m)**(-45)*((m*m/(m**(-2/7)/m))/((m*m/(m*m**5)*m*m)/m))/(m**2)**42 assuming m is positive. m**(-243/7) Simplify (x/x**(3/10)*x/(x*x/(x/(x**3*x))*x*x)*x*((x/(x/x**(1/8)*x))/x)/x**(-2/7))/((x**(-5)*x)/x**(2/17))**19 assuming x is positive. x**(344367/4760) Simplify (t**(-2/7)*t*t)/t**(2/9)*(t**0)**43*(t/t**1)**22*(t**1/t)**(-1/17) assuming t is positive. t**(94/63) Simplify ((h**(-5/13)/(h/(h/(h**(2/5)/h))))/((h/(h**3*h))/h)**(-4/31))**(-20) assuming h is positive. h**(2424/403) Simplify ((j/(j*(j*(j*j/(j*j/j**(1/5))*j)/j*j)/j))**8*j**(-6)*j*(j/j**(-8/5)*j)/j*j)**(-50) assuming j is positive. j**550 Simplify w**(-11)*w**(-3/7)*w/(w/w**(-8/9))*w**(-6/17) assuming w is positive. w**(-13570/1071) Simplify (y**(-5)*y**(-2/3)*y**(1/11)*y/y**(-1))/((y**(2/11)*y*y)/(y*y**(-8)))**(2/39) assuming y is positive. y**(-1736/429) Simplify (y**(-5)/y**(-4))/(y**0)**(-26)*(y**(1/2))**12/((y**(-6/5)/y)/(y*y**0)) assuming y is positive. y**(41/5) Simplify (u/((u/u**(-1/4))/u))**29*u/((u/(u**(2/11)/u))/u)*(u*u**(-1/3))/u*u*u*(u*u**(-1/4)*u*u*u*u**(-2/5))**(-11) assuming u is positive. u**(-4373/330) Simplify ((y**5)**42/(y**12*y**(-6/11)))**(-3/5) assuming y is positive. y**(-6552/55) Simplify (((h**8/h)/(h*h/((h/((h/h**(-7/6))/h))/h*h)))/(h**(-2/57)*h**(-14)))**2 assuming h is positive. h**(717/19) Simplify ((g*g**(-42))/(g*g/(g/(g*g*(g/g**(34/3))/g)))*g/(g*g**(-27/2))*(g**(-3)/g)/g)**(-11) assuming g is positive. g**(1595/6) Simplify ((j/j**(30/7))/j*j)/(j/(j*j/(j/(j**(3/5)/j)))*j)*j*j**(-18)/j*j**(-2/85)*j assuming j is positive. j**(-12917/595) Simplify ((((h*h*(h*h*(h**(-21)*h)/h)/h*h*h)/h)/(h/(h*h**(-4/7))*h))/(h**7/h**(3/2)))**11 assuming h is positive. h**(-3707/14) Simplify (((h/h**(-2/11)*h)/(h**(3/10)/h))/(h**(-22)/(h/(h*h**(-26)/h*h)*h)))**(1/30) assuming h is positive. h**(5707/3300) Simplify (((m*m*m**(-11/2))/m)/m**4)**(-31/5)/((m*m**(-1/2)*m*m)/((m*m**(-3)/m*m)/m)*m**2/(m*(m/m**(-6))/m*m)) assuming m is positive. m**(266/5) Simplify (o**(-25))**38*o**(-11)*o*(o**5*o)/o assuming o is positive. o**(-955) Simplify (((a**1)**25*(a/a**13)/a**3)**(-33))**(2/51) assuming a is positive. a**(-220/17) Simplify ((c**(2/3))**(-1/21))**17*(c/(c*c/(c**(-2/5)/c)))**(-12)/(c/(c*c**(2/13))*c*c*c**(-4/5)/c) assuming c is positive. c**(115537/4095) Simplify ((w**10/(w**18/w))/((w**4*w)/w)**(-2/7))**(-41) assuming w is positive. w**(1681/7) Simplify ((t*t**(1/3))**(-40)*(t**(-1/3)*t)/t*t**(-1))/((t**(-3/8)/t)/t**(-7)*(t*t/t**(-6/7))/(t/t**(-1/3))) assuming t is positive. t**(-10385/168) Simplify ((n/(n/(n*n**(-5))*n)*n*n)/(n*n**(-5/2)))/((n**(-1)/n)/n*n)**(2/23)*(((n**0/n)/n)**(2/49))**22 assuming n is positive. n**(-7037/2254) Simplify (((n**(-10)/n)/n)**40/(n*n*(n**(6/7)*n)/n)**35)**(-39) assuming n is positive. n**22620 Simplify (r*r**(-2/49))**15/(r**40*r**(-12/13)) assuming r is positive. r**(-15727/637) Simplify (k/(k**3/k)*k**(-2))**(2/35)/((k/(k**(-1/4)/k))**28*k**(2/7)*(k*k**(-1/5))/k) assuming k is positive. k**(-2214/35) Simplify ((f**(2/3)/f)**(7/2)*f**(-11/4)/(f/(f*f/(f/((f**(-8/9)/f)/f)*f))))**15 assuming f is positive. f**(-1405/12) Simplify ((b/(b*b*b**6*b))/(((b**(-8)/b)/b)/b*b))**(-7)/((b**(2/7))**(5/12)*(b*(b*b/b**(5/2))/b*b)/b**2) assuming b is positive. b**(-265/21) Simplify ((j**(-1)/j)/(j**(-1/5)*j))**(-26)/((j**(5/4)/j)/(j**8*j*j))**50 assuming j is positive. j**(5603/10) Simplify ((x/((x**(-3/20)*x)/x))**(2/3)/(x/x**(4/5))**9)**20 assuming x is positive. x**(-62/3) Simplify ((v*v**2)**34/(v/v**4*v*(v/(v**(-6)/v))/v))/(v**1/(v**6/v)*v**(-2/7)/(v**(-7)*v*v)) assuming v is positive. v**(674/7) Simplify (((s/(s/(((s**(-4/9)*s*s)/s)/s)*s))/s)/(s/(s*s**5*s))*(s**(-1/3))**21)/((s/(s/((s*s**1)/s)))**(-1/2)*(s**(-1))**(-20)) assuming s is positive. s**(-413/18) Simplify ((((k/(k/((k/(k/(k/((k*(k**(-2/5)*k)/k)/k))))/k)))/k**3)/(k*k*k**(-1/7))**4)**2)**37 assuming k is positive. k**(-25974/35) Simplify ((f**2)**(-6/17)/(f**(-1/8)/(f/f**18)))**40 assuming f is positive. f**(-11955/17) Simplify (((g**40/g**(-6/29))**(-16/5))**(-10))**(20/3) assuming g is positive. g**(746240/87) Simplify ((n**(-1/12)*n*n)**(-14/11)/(n**6*n*n*n/n**4*n))**(1/15) assuming n is positive. n**(-557/990) Simplify ((h/(h*h**(-2)))**(-1/19))**(1/26)/((h/(h**2/h*h))**(-2/99)*(h/(h*((h**(-1/4)/h)/h)/h))**(9/5)) assuming h is positive. h**(-2872861/489060) Simplify ((i**(-1/3))**(-6/11))**(1/10)*(i*i*i**(1/3))**(-21)/(i**(-1))**(4/11) assuming i is positive. i**(-2674/55) Simplify (((o*o*(o**7/o)/o)/o*o**(-2)*o*o)/(o**
{ "pile_set_name": "DM Mathematics" }
-1001210 What is -2122 (base 7) in base 5? -11001 What is 1111001001011 (base 2) in base 13? 36b7 1002002 (base 3) to base 6 3345 Convert -104613 (base 8) to base 7. -204441 5432 (base 6) to base 16 4dc -89 (base 14) to base 12 -a1 Convert 813 (base 16) to base 3. 2211120 6547 (base 8) to base 5 102211 7b69 (base 13) to base 4 10032231 What is 141113 (base 5) in base 13? 282b Convert -511 (base 10) to base 14. -287 What is 4d1 (base 14) in base 5? 12332 63453 (base 7) to base 13 7194 What is -23b2 (base 12) in base 11? -3027 569 (base 10) to base 6 2345 What is 10011010 (base 2) in base 7? 310 What is -3d97 (base 15) in base 7? -53314 6414 (base 8) to base 11 2567 What is -1167 (base 11) in base 2? -10111110101 -1895 (base 12) to base 8 -5661 -163246 (base 7) to base 3 -1122102001 What is -11022020211 (base 3) in base 12? -41064 Convert -6b3 (base 15) to base 11. -1160 What is -1769 (base 11) in base 9? -3073 What is 11000 (base 3) in base 11? 99 2527 (base 11) to base 15 e9b Convert -c03 (base 15) to base 6. -20303 What is -10011100111 (base 2) in base 13? -757 Convert -6b (base 13) to base 9. -108 Convert 140515 (base 6) to base 16. 335f -7223 (base 8) to base 11 -2892 Convert 1102 (base 3) to base 9. 42 What is 18 (base 14) in base 5? 42 -4ee5 (base 16) to base 15 -5eb7 Convert 400513 (base 6) to base 5. 2000133 311 (base 10) to base 15 15b What is -13222300 (base 4) in base 6? -401224 What is -7b02 (base 12) in base 11? -a309 Convert -2320 (base 9) to base 12. -bb3 Convert 10020120120 (base 3) to base 10. 63843 What is -11110011 (base 3) in base 10? -3244 What is 1143 (base 7) in base 13? 267 Convert 1452 (base 7) to base 16. 240 -25882 (base 9) to base 15 -52ae Convert -10a00 (base 14) to base 12. -1b448 Convert -66e8 (base 15) to base 16. -553a What is a9 (base 12) in base 5? 1004 Convert -1150 (base 7) to base 11. -359 1000001011 (base 2) to base 7 1345 -5d (base 16) to base 12 -79 Convert -11201120 (base 3) to base 14. -1380 Convert -2e6 (base 15) to base 2. -1010011010 What is 8095 (base 10) in base 14? 2d43 100000100000001 (base 2) to base 3 211211100 -6b6 (base 12) to base 7 -2631 -31230 (base 4) to base 14 -468 What is -130102 (base 4) in base 16? -712 Convert 23644 (base 7) to base 12. 3691 Convert 825 (base 14) to base 8. 3101 What is -776 (base 11) in base 3? -1021110 -dd6 (base 16) to base 8 -6726 What is 1325 (base 10) in base 5? 20300 Convert 17 (base 15) to base 13. 19 What is 14651 (base 9) in base 15? 2e74 What is 1414 (base 6) in base 10? 370 166055 (base 7) to base 12 1733b 11203 (base 5) to base 14 415 What is 3014 (base 7) in base 14? 544 What is -11d (base 14) in base 3? -22021 cd4c (base 15) to base 5 2342442 Convert -47096 (base 12) to base 14. -2696a Convert -111000001 (base 2) to base 7. -1211 What is -c17 (base 15) in base 11? -2055 Convert 44525 (base 7) to base 12. 6608 What is -a83 (base 11) in base 8? -2425 Convert -160 (base 15) to base 5. -2230 Convert -250 (base 14) to base 5. -3322 342 (base 6) to base 9 158 Convert ba8b (base 14) to base 12. 1680b Convert -1517 (base 10) to base 3. -2002012 What is 13332 (base 9) in base 8? 21474 1340011 (base 6) to base 12 37607 10111111010 (base 2) to base 15 6c0 What is c73 (base 16) in base 13? 15b2 Convert 1110110010010010 (base 2) to base 3. 10002002001 What is 1533 (base 7) in base 16? 264 Convert 333 (base 15) to base 14. 399 Convert 10517 (base 8) to base 15. 14a6 7300 (base 8) to base 16 ec0 What is 161165 (base 8) in base 10? 57973 4660 (base 15) to base 13 6a53 What is -10011010111111 (base 2) in base 6? -113531 Convert -103002 (base 4) to base 2. -10011000010 Convert -2210120 (base 5) to base 12. -1a100 Convert -32001 (base 4) to base 10. -897 Convert -16b8 (base 13) to base 9. -4545 Convert 1393 (base 16) to base 12. 2a97 Convert 1529 (base 13) to base 15. da2 16355 (base 7) to base 13 2165 Convert -10001000010 (base 2) to base 15. -4ca 200242 (base 6) to base 7 63425 What is 2da9 (base 14) in base 2? 1111111111001 234 (base 10) to base 7 453 -10011000 (base 2) to base 6 -412 11040 (base 6) to base 15 6c6 Convert 572 (base 8) to base 16. 17a -626 (base 7) to base 6 -1242 What is -1224 (base 7) in base 10? -459 Convert -35003 (base 6) to base 8. -11553 Convert 1202412 (base 5) to base 10. 22232 -27084 (base 10) to base 8 -64714 Convert 15314 (base 7) to base 11. 3236 Convert 4135 (base 7) to base 15. 667 b79 (base 14) to base 11 1778 Convert -20021 (base 5) to base 9. -1651 2270 (base 10) to base 2 100011011110 3123243 (base 5) to base 12 25b02 What is 32440 (base 7) in base 15? 260d Convert -200021 (base 3) to base 2. -111101101 What is -364 (base 9) in base 3? -102011 Convert 241521 (base 6) to base 5. 1134040 -1208 (base 16) to base 9 -6288 What is -16110 (base 7) in base 14? -1907 -3a8 (base 12) to base 14 -2c0 Convert 142313 (base 5) to base 7. 23241 -5269 (base 13) to base 12 -672a What is 11863 (base 10) in base 2? 10111001010111 -155a (base 12) to base 8 -4726 Convert 1001 (base 16) to base 6. 30545 What is 51223 (base 8) in base 12? 10297 What is -406 (base 8) in base 16? -106 Convert -100101010111001 (base 2) to base 14. -6d85 Convert -121100002 (base 3) to base 14. -44a9 What is 4234 (base 6) in base 10? 958 What is 365 (base 8) in base 5? 1440 Convert 1470 (base 8) to base 2. 1100111000 -5062 (base 8) to base 2 -101000110010 -3160 (base 7) to base 15 -4ea Convert 320605 (base 7) to base 2. 1101100011100010 What is 2220 (base 11) in base 16? b6e What is 449 (base 13) in base 6? 3225 1da (base 14) to base 16 184 -13050 (base 7) to base 16 -d89 Convert -139a (base 13) to base 3. -10212212 -5374 (base 8) to base 12 -1764 Convert -1222401 (base 5) to base 3. -1012012111 Convert 1311 (base 6) to base 9. 407 Convert 16291 (base 12) to base 15. 9501 -7b8 (base 12) to base 5 -14043 Convert 231321 (base 4) to base 5. 43222 Convert -285 (base 10) to base 9. -346 What is 975 (base 12) in base 8? 2551 Convert 3130 (base 6) to base 3. 222000 5210 (base 7) to base 10 1820 Convert -402 (base 9) to base 6. -1302 What is -1000001101001000 (base 2) in base 15? -9e58 -4277 (base 8) to base 14 -b5d What is -3e2 (base 15) in base 10? -887 What is b84 (base 16) in base 10? 2948 What is -2011210 (base 3) in base 14? -815 What is -230c5 (base 13) in base 10? -63874 What is 7a76 (base 12) in base 11? a268 What is -211000 (base 3) in base 2? -1001010010 -2b23 (base 12) to base 2 -1001111001011 1001000011101101 (base 2) to base 7 213111 What is 4300 (base 5) in base 13? 353 What is -1620 (base 11) in base 9? -2760 22344 (base 5) to base 10 1599 -12002 (base 3) to base 12 -b5 113052 (base 6) to base 9 14335 1162 (base 10) to base 5 14122 -6a1 (base 15) to base 14 -793 122432 (base 6) to base 8 25324 What is 345 (base 15) in base 4? 23210 What is -319 (base 16) in base 3? -1002101 -20b5 (base 14) to base 7 -22315 What is -6b90 (base 12) in base 9? -17480 Convert 6766 (base 9) to base 12. 2a89 Convert -12231 (base 6) to base 8. -3433 Convert e87 (base 15) to base 12. 1a91 Convert 10313 (base 9) to base 14. 26ac 333301 (base 4) to base 6 30521 Convert -14816 (base 10) to base 15. -45cb 542403 (base 6) to base 14 123ab Convert 11323 (base 5) to base 3. 1011001 What is -333110 (base 4) in base 14? -1696 What is -337 (base 9) in base 13? -184 -875a (base 11) to base 8 -26450 What is -20972 (base 10) in base 9? -31682 -300412 (base 5) to base 6 -111522 132244 (base 5) to base 11 4000 261 (base 14) to base 16 1dd 78 (base 16) to base 11 aa What is 2212 (base 4) in base 8? 246 What is -220321 (base 4) in base 13? -1264 What is 465 (base 9) in base 11? 319 Convert 12302 (base 4) to base 5. 3214 Convert 2576 (base 8) to base 9. 1832 -10001000101100 (base 2) to base 13 -3c9c Convert -3627 (base 9) to base 13. -12c7 What is 145155 (base 6) in base 10? 14111 342a (base 16) to base 3 200022121 What is -64664 (base 8) in base 3? -1101010020 -2463 (base 8) to base 5 -20311 What is 451b (base 15) in base 9? 22078 -12746 (base 8) to base 12 -32b2 -1279 (base 16) to base 15 -1604 What is 19807 (base 10) in base 6? 231411 -644 (base 12) to base 9 -1227 Convert -114d (base 15) to base 8. -7131 -3012 (base 7) to base 16 -40e What is 1245a (base 11) in base 3? 220111012 What is 1487 (base 9) i
{ "pile_set_name": "DM Mathematics" }
+ 6*x**2 - 3*x**2)*(-3*x**3 - 2*x**3 + 6*x**3) + 6*x**5 - 22*x**5 + 14*x**5 - 84*x**3 - 1 + 1 - 2*x**5. -x**5 - 84*x**3 Expand (-q**4 + q**4 - q**4)*(-4 + 2 + 1) + 104*q**4 - 275*q**4 + 91*q**4. -79*q**4 Expand (2 + 3 - 4)*(3*b - 4*b - 7*b)*(-5*b**2 + b**2 - b + 2*b**2). 16*b**3 + 8*b**2 Expand (0*l + 0*l - l)*(-3*l - 2*l + 6*l) + 2*l - 2*l - l**2 + (36 - 36 - 5*l)*(5*l + 31*l + 9*l). -227*l**2 Expand (q**3 + q**3 + 3*q**3)*(-25 + 9*q + 25) + (-2*q - q + q)*(3*q**2 - 3*q**2 + q**3). 43*q**4 Expand (732 - 732 + 14*l**3 + (0*l**3 + 2*l**3 - l**3)*(-7 + 2 + 3))*(-2*l**2 + 0*l**2 + 4*l**2). 24*l**5 Expand (6 - 1 - 4)*(41*l + 24*l + 16*l)*(3*l - 4*l + 2*l). 81*l**2 Expand g**2 - g**2 - g**3 + (5*g**2 - 3*g**2 - 4*g**2)*(-g - 2*g + 4*g) - 10*g**3 - 28 + 28 + (-4*g**2 + 4*g**2 + g**2)*(9*g + g - g). -4*g**3 Expand (18 + 5*u - 18)*(0 + 2 - 3 + (0 - 1 + 2)*(5 - 3 + 0) - 1 + 0 - 1 + 5 - 2 + 0). 10*u Expand -j**5 + 2*j**5 + 0*j**5 + (0*j**3 + 3*j**3 - j**3)*(-33*j**2 + 49*j**2 + 96*j**2). 225*j**5 Expand (-2*d**4 + d**3 - d**3)*(-3*d + 3*d - 3*d) - 203*d**4 - 10*d**5 + 11*d**5 + 6 - 8. 7*d**5 - 203*d**4 - 2 Expand (0 - 25*r - 1 + 34*r)*(-7*r + 5*r - 9*r). -99*r**2 + 11*r Expand (-5*b - b - 11 + 7*b)*(-13*b**2 + 92*b - 92*b). -13*b**3 + 143*b**2 Expand (5*a - 3*a + 0*a)*(2*a - 4 + 4) + a**2 + 96*a**2 - 173*a**2 - 463*a**2. -535*a**2 Expand (5*p**2 - 3*p + 3*p)*(-5 + 3 + 4)*(3 + 1 + 3). 70*p**2 Expand (157*m + 92*m - 86*m + (-1 - 5 + 4)*(1 - 1 - 2*m))*(0*m - 4*m + m). -501*m**2 Expand (3*f + 2*f - 2*f)*(-31 + 6 - 41). -198*f Expand (4*a - 3*a - 4*a)*(8*a - 12*a - 63*a) - 2 + 2 - 2*a**2. 199*a**2 Expand ((5*n**2 - 2*n**2 - n**2)*(-3*n**3 + 4*n**3 - 3*n**3) + 2*n**5 + n**5 - n**5 + 12*n**5 + 59*n**5 + 9*n**5)*(8 + 1 + 8). 1326*n**5 Expand -2*y + 5*y - 4*y + 2*y - 2 + 2 - y + 2*y + y + (-3 + 2*y + 3)*(-1 + 1 + 2) + 3 - 3 - y - 1 - 2*y + 1 + 4 - 4 + y + 2*y - y + 2*y + 26*y - 31 + 17 + 13. 34*y - 1 Expand (-1368*z + 1022*z + 1317*z)*(-1 + 1 + 2). 1942*z Expand 155*a**2 + 9*a - 385*a**2 - 10*a + (0*a + 0*a + a)*(-2*a - 3 + 3). -232*a**2 - a Expand -g + 0*g - 3 + 0*g + (-4*g + 4*g + g)*(0 - 3 + 0) + g + 3*g - 7*g - 2*g + g + 16*g. 8*g - 3 Expand (4*v - v - v)*(0*v + 3*v - v)*(-18 + 16 + 27*v - 130*v). -412*v**3 - 8*v**2 Expand (-5 + 4 + 3)*(n**4 - 168*n + 176*n + 39 - 36). 2*n**4 + 16*n + 6 Expand (-2*r - r + 4*r)*((39 - 74 + 84)*(5*r - r - 5*r) - 4*r + 3*r + 2*r). -48*r**2 Expand (-5*j**3 + j - 3*j + 4*j**3)*(122 - 506*j**2 - 122). 506*j**5 + 1012*j**3 Expand (-77*p**2 + 7*p**2 - 52*p**2)*(0*p**3 + 0*p**3 - 5*p**3). 610*p**5 Expand 0*n - n**4 + 0*n + (3*n - n**4 - 3*n)*(-1 + 5 - 2) + 80*n - 80*n + 211*n**4 - 747*n**4. -539*n**4 Expand (2 - 3 + 2)*(8 - 8 + 12*b)*(-14*b + 3 + 2 - 3). -168*b**2 + 24*b Expand ((2*f - f + 0*f)*(-1 + 4 - 1) - f - 1 + 1)*(-5*f + 0*f - f) + 19*f + 8*f**2 - 19*f. 2*f**2 Expand (18 - 26 - 13)*(2*r + r + 4*r). -147*r Expand 2*p + p + 5*p + (3 + 1 - 2)*(-1 + p + 1) - 5*p + 6*p + 0*p - 2*p + p - 3*p. 7*p Expand 12*u**2 + u**3 + 4*u**2 - 3*u**2 - 4*u - 2*u**3 + 4*u + (4 - 3 - 2)*(0*u**3 + 17*u**3 + 10*u**3). -28*u**3 + 13*u**2 Expand (-5*w + 17*w + 8*w)*(1 + 2 + 0) - 2*w + 0 + 0 + 0 + 0 + 2*w + (2 + 2 - 2)*(0*w + w + w) + 6*w - 4*w - 4*w - 2*w + 2*w + 2*w. 64*w Expand (0*a**2 - 4*a**2 + a**2)*(2*a + 1 - 1)*(6 + 3 - 2). -42*a**3 Expand (-8*m**2 + 58*m - 76*m + 9*m)*(m + 4*m + m). -48*m**3 - 54*m**2 Expand -398*y**3 - 1 + 0 + 9*y**2 + 396*y**3 - 3*y**4 + (-2 + 0 + 3)*(0*y**4 + 0*y**4 + 2*y**4) + 3*y - y**4 - 3*y. -2*y**4 - 2*y**3 + 9*y**2 - 1 Expand ((0*c**2 - c**2 - c**2)*(1 - 1 - 2*c**3) + c**5 + 3*c**3 - 3*c**3 + 6*c**5 - c**5 - 3*c**5)*(1 - 5 + 2) - 6*c**5 - c**5 - 8*c**5. -29*c**5 Expand (4 - 881*g**3 + 3 + 875*g**3)*(4*g**2 - 3*g**2 + 0*g**2) + 2*g**5 + g**5 - g**5. -4*g**5 + 7*g**2 Expand -25*d**4 - 1 + 1 + (-2*d - 2*d + 2*d)*(0*d**3 + 3*d**3 - d**3) + 6*d**4 + d**4 - 2*d**4. -24*d**4 Expand (-k**2 + 3*k**2 - 5*k**2)*(-6*k**2 - 2*k**2 + 3*k**2)*(-1 - 4 - 4). -135*k**4 Expand 4 + 11*c**2 - 11*c + 5*c**2 - 15*c**2 + (8 - 8 + 10)*(6*c**2 - 3*c**2 - 2*c**2). 11*c**2 - 11*c + 4 Expand (-2*w + 2 - 2)*(327*w**3 + 225*w**3 - 121*w**3). -862*w**4 Expand (-2*s**4 - 2*s**4 + 2*s**4)*(-5*s - s + s) + (-3*s**4 + 4*s**4 - 3*s**4)*(-21*s + 4*s - 15*s). 74*s**5 Expand (1 - x**4 - 22*x + 0 + 53*x)*(2*x + 0*x + x). -3*x**5 + 93*x**2 + 3*x Expand (n + 2*n - 2*n)*(6*n**4 - 5*n**4 + 3*n**4) - n**2 - 2*n**5 + n**2 + n**5 + 0*n**5 - 2*n**5 + (0*n**2 + 2*n**2 - 4*n**2)*(n**2 - n**3 - n**2). 3*n**5 Expand (-3*u**4 + 3*u - 3*u)*(-3 + 2 - 1) + (u + 2*u - 4*u)*(36*u**3 + 8*u**3 + 24*u**3). -62*u**4 Expand ((-4 + 11 - 8)*(-4*b - 4 + 4) + 5*b - 3*b - 5*b)*(3*b**4 + 4*b**4 - b**4). 6*b**5 Expand -8*h**2 - 2*h**2 - 2*h**5 - 3*h**2 + 8*h**5 + 4 - 4 + (-2*h + 0*h + 3*h)*(-2*h + 2*h**4 + 2*h). 8*h**5 - 13*h**2 Expand (-127*g - 17*g - 82*g)*(-3 - 4 + 6)*(-3*g - 3*g + 5*g). -226*g**2 Expand (-s**3 - s**3 + 3*s**3)*(1 - s**2 - 1) + (5*s**2 - 310*s + 310*s)*(2*s**3 - s**3 + 2*s**3). 14*s**5 Expand (-a - 2*a + 4*a)*(-1 + 4 - 1) + 25*a - 58*a + 23*a + 3 - a - 1 - 1. -9*a + 1 Expand (-11 - 1 - 2)*(-7 + 5 + 0 - 6*j). 84*j + 28 Expand (-3*c + c**2 + 3*c)*(1575*c + 2477*c - 3086*c). 966*c**3 Expand (n + 0*n - 2*n)*(-n + 0*n + 0*n)*(15 - 9 - 4). 2*n**2 Expand (12*p**2 + 34*p**2 + 116*p**2)*(p**3 - p + p) + 2*p**4 - 2*p**4 - p**5 + (2*p**4 - 4*p**4 + 0*p**4)*(2*p + 3 - 3). 157*p**5 Expand (0 + 0 + p)*(-73*p + 104*p**2 + 35*p + 37*p) + p**2 - p**2 - p**3. 103*p**3 - p**2 Expand -4*r - r + 4*r + (1 + 3 - 2)*(-r + 3 - 3) + (3 - 15 - 11)*(r + 3 - 3). -26*r Expand (0*u**3 + u**3 - 3*u**3)*(-2 + 0 + 1) - u + u + 2*u**3 - 42 - 12*u**3 + 42 + 0*u**3 + 3*u**3 - 4*u**3. -9*u**3 Expand (3*m + 0*m + 2*m)*(-m - m - 5*m + (-3 + 6 - 1)*(-5*m + 3*m + 5*m)). -5*m**2 Expand 134*g**2 - 278*g**2 - 247*g**2 + (-4*g + 2*g + g)*(4*g - 4*g - g). -390*g**2 Expand (-d**2 + 0*d**2 - 2*d**2)*((d + 5 - 5)*(0*d - d**2 + 0*d) - 5*d**3 - 4*d**3 + 4*d**3). 18*d**5 Expand (3*h - 2*h + 0*h + (5 - 1 - 3)*(h - 3 + 3))*(-15*h + 20*h - 16*h). -22*h**2 Expand (-k + 2*k + k - k + 3*k - k + (0*k - 4*k + 6*k)*(-4 + 0 + 2) - 730*k - 492*k + 921*k)*(-1 - 3*k**3 + 1). 906*k**4 Expand 1 - 1 + z**2 - z**2 + 9*z**2 - z**2 + z**2 + 0 + 0 + (-z + 2*z - 2*z)*(-2*z + z + 0*z). 10*z**2 Expand (2*d**3 + 3*d**3 - d**3)*(d**2 + 3 - 3) - 1 + 2*d**5 + 1 + (0*d**5 + 0*d**5 + d**5)*(0 - 3 + 2) + 14*d**3 + d**5 - 14*d**3. 6*d**5 Expand ((3 - 3 + 2*s)*(4 + 7 - 8) + 0*s - 2*s - s)*(-4 - s + 4). -3*s**2 Expand ((0 + 2 + 0)*(0*q + 2*q - 5*q) + q - 1 + 1)*(8 + 2 - 1)*(3 - 4 - 3). 180*q Expand (0 + 1 + 1)*(3*s - 2*s - 3*s) + s + 3*s - 3*s + (21*s - 358 + 358)*(-3 - 3 + 3). -66*s Expand (3*g + 4*g + 4*g)*(2*g**2 - 11*g - 15*g - 4*g). 22*g**3 - 330*g**2 Expand (235 + 59 - 21 + 171)*(5*q - 4*q + 0*q). 444*q Expand (-898*i + 2483*i - 1310*i)*(0*i**2 + 4*i**2 - 3*i**2). 275*i**3 Expand (-49 + 49 + 67*m)*(-3*m**2 + m**2 - m**2)*(2*m - 3*m + 3*m). -402*m**4 Expand (-u + 2*u + 0*u)*(u**3 + u**3 - u**3) - 276*u**3 + 8*u**4 + 616*u**3 - 307*u**3. 9*u**4 + 33*u**3 Expand 0*v**3 - 3*v**3 + v**3 + 0 + 0 - v**3 + (-4*v**2 + v**2 - 5*v**2)*(3 - 3 + 4*v). -35*v**3 Expand (-7*z**3 - 3*z + 3*z)*(-203 - 176 + 447 - 1 + 4 - 2 + 1 + 2 - 4 + (3 - 3 - 1)*(1 - 2 + 0) - 1 - 1 + 3). -490*z**3 Expand 1 + 2 - 2251*t + 1432*t - 3 + (t + 2*t - t)*(-1 + 2 - 4). -825*t Expand 7*u**2 - 3*u**2 - 2*u**2 + (3*u + 0*u - 2*u)*(3*u - 2*u - 6*u) - 4*u**2 - 2*u**2 - u**2 - u**2 + 3*u**2 - 4*u**2. -12*u**2 Expand (-5 + 6 + 5)*(-2*t - 1 + 1) + (7 - 5 + 14)*(-2*t + 5*t - t). 20*t Expand (-4 - 2 + 4)*(4*t**2 - 3*t**2 + 0*t**2)*(13*t + 67 - 67). -26*t**3 Expand (-3*b + 2*b + 2*b + (-2*b + 0*b + 3*b)*(0 - 2 + 4))*(1 + 3 - 1)*(192*b + 48*b**2 - 192*b). 432*b**3 Expand (-79*r + 379*r**2 - 381*r**2 + 8*r)*(-49 + 49 - 16*r). 32*r**3 + 1136*r**2 Expand (j - 5*j + 3*j + (-8*j + 11 - 11)*(6 - 3 - 10))*(0*j**2 - j**2 - j**2). -110*j**3 Expand (95*q + 25*q - 32*q)*(34*q**3 + 7*q**4 - 34*q**3). 616*q**5 Expand (z**2 + 2*z**2 - z**2)*(-5*z - 2*z + 3*z)*(1 - 5 - 10*z + 7) - 6*z**2 + 6*z**2 - 2*z**4. 78*z**4 - 24*z**3 Expand (-1 + 1 + x**2)*((7 + 11 + 0)*(2*x**2 - 2*x**2 + 3*x**2) + (4 - 3*x - 4)*(2 + 7*x - 2)). 33*x**4 Expand (-14 + 38 - 3*x - 25)*(0 + 3*x**4 + 0). -9*x**5 - 3*x**4 Expand (-2*m - 3 + 3
{ "pile_set_name": "DM Mathematics" }
5020*o - 2777 What is the i'th term of -28564, -28457, -28350, -28243, -28136? 107*i - 28671 What is the i'th term of -5778250, -11556501, -17334752, -23113003, -28891254? -5778251*i + 1 What is the l'th term of -1371456, -1371646, -1371836, -1372026? -190*l - 1371266 What is the o'th term of -6828, -5616, -4404, -3192, -1980, -768? 1212*o - 8040 What is the m'th term of -607561, -607573, -607589, -607609, -607633? -2*m**2 - 6*m - 607553 What is the i'th term of -272554826, -272554825, -272554824, -272554823, -272554822, -272554821? i - 272554827 What is the x'th term of -392524, -784771, -1177018? -392247*x - 277 What is the j'th term of -920, -2817, -5630, -9365, -14028, -19625? -j**3 - 452*j**2 - 534*j + 67 What is the d'th term of 82717, 162830, 242943, 323056, 403169? 80113*d + 2604 What is the g'th term of 48412, 97358, 146280, 195166, 244004, 292782, 341488, 390110? -2*g**3 + 48960*g - 546 What is the t'th term of 10249, 40983, 92207, 163933, 256173, 368939, 502243? 2*t**3 + 10233*t**2 + 21*t - 7 What is the h'th term of 11769, 121422, 304177, 560034, 888993, 1291054, 1766217? 36551*h**2 - 24782 What is the w'th term of 91509, 733428, 2475773, 5868756, 11462589, 19807484, 31453653, 46951308? 91702*w**3 + w**2 + 2*w - 196 What is the f'th term of 2, -302, -832, -1600, -2618, -3898, -5452? -2*f**3 - 101*f**2 + 13*f + 92 What is the r'th term of -1984, -2080, -2246, -2518, -2932, -3524? -6*r**3 + r**2 - 57*r - 1922 What is the n'th term of -19125, -76531, -172219, -306189, -478441? -19141*n**2 + 17*n - 1 What is the c'th term of 737, 203, -335, -877? -2*c**2 - 528*c + 1267 What is the o'th term of -1413, -3272, -5517, -8154, -11189? -o**3 - 187*o**2 - 1291*o + 66 What is the x'th term of -14482202, -28964402, -43446606, -57928814, -72411026, -86893242, -101375462? -2*x**2 - 14482194*x - 6 What is the k'th term of 916673, 1833337, 2750003, 3666671, 4583341, 5500013, 6416687? k**2 + 916661*k + 11 What is the w'th term of -909, -6133, -11357? -5224*w + 4315 What is the o'th term of -6106055, -12212100, -18318145, -24424190, -30530235, -36636280? -6106045*o - 10 What is the f'th term of -83796, -78834, -70556, -58956, -44028? f**3 + 1652*f**2 - f - 85448 What is the i'th term of -12869, -11268, -8601, -4868, -69? 533*i**2 + 2*i - 13404 What is the r'th term of -3803248, -7606496, -11409742, -15212986? r**2 - 3803251*r + 2 What is the w'th term of -105401, -210806, -316211, -421616, -527021, -632426? -105405*w + 4 What is the z'th term of 7989, 7024, 5417, 3168, 277? -321*z**2 - 2*z + 8312 What is the m'th term of 1270, 3136, 5020, 6928, 8866? m**3 + 3*m**2 + 1850*m - 584 What is the k'th term of -10562480, -21124965, -31687450, -42249935, -52812420, -63374905? -10562485*k + 5 What is the k'th term of -24072843, -48145688, -72218533, -96291378? -24072845*k + 2 What is the c'th term of -858, -3477, -7816, -13857, -21582, -30973? 3*c**3 - 878*c**2 - 6*c + 23 What is the d'th term of -13291, -26063, -38313, -50041, -61247, -71931, -82093? 261*d**2 - 13555*d + 3 What is the z'th term of 7636, 60645, 204492, 484585, 946332? 7568*z**3 + 11*z**2 + 57 What is the v'th term of 7548, 7711, 8160, 9039, 10492, 12663, 15696, 19735? 24*v**3 - v**2 - 2*v + 7527 What is the u'th term of -9723448, -19446885, -29170324, -38893765, -48617208, -58340653? -u**2 - 9723434*u - 13 What is the x'th term of 1907997, 3816043, 5724085, 7632123, 9540157, 11448187? -2*x**2 + 1908052*x - 53 What is the n'th term of 21859, 43456, 64787, 85852, 106651, 127184? -133*n**2 + 21996*n - 4 What is the o'th term of 196026, 195634, 195242? -392*o + 196418 What is the m'th term of 4999, 6940, 8881? 1941*m + 3058 What is the f'th term of -305, -38, 491, 1354, 2623, 4370, 6667, 9586? 12*f**3 + 59*f**2 + 6*f - 382 What is the k'th term of 2015000, 2014998, 2014996, 2014994, 2014992, 2014990? -2*k + 2015002 What is the n'th term of -1429, -2246, -3219, -4426, -5945? -13*n**3 - 726*n - 690 What is the l'th term of 2000628, 4001255, 6001882, 8002509, 10003136? 2000627*l + 1 What is the o'th term of 34641, 34214, 33787, 33360, 32933? -427*o + 35068 What is the y'th term of -521649, -521663, -521677, -521691? -14*y - 521635 What is the v'th term of -355, -1405, -4253, -9799, -18943, -32585? -150*v**3 + v**2 - 3*v - 203 What is the z'th term of 143442222, 143442209, 143442182, 143442135, 143442062, 143441957, 143441814, 143441627? -z**3 - z**2 - 3*z + 143442227 What is the s'th term of 5685, 11377, 17123, 22941, 28849, 34865? 3*s**3 + 9*s**2 + 5644*s + 29 What is the k'th term of 15128117, 15128083, 15128049? -34*k + 15128151 What is the m'th term of 3979709, 3979695, 3979681? -14*m + 3979723 What is the x'th term of -111, -341, -891, -1887, -3455, -5721? -21*x**3 - 34*x**2 + 19*x - 75 What is the o'th term of 546341, 1092527, 1638713, 2184899, 2731085, 3277271? 546186*o + 155 What is the l'th term of 1015680, 2031409, 3047138, 4062867, 5078596? 1015729*l - 49 What is the o'th term of 129283, 268017, 406751, 545485? 138734*o - 9451 What is the i'th term of 2590310, 2590309, 2590310, 2590313, 2590318, 2590325? i**2 - 4*i + 2590313 What is the g'th term of -1150, -1215, -1194, -1087, -894, -615, -250? 43*g**2 - 194*g - 999 What is the x'th term of 39684, 158969, 357776, 636105, 993956, 1431329, 1948224? 39761*x**2 + 2*x - 79 What is the q'th term of -74539421, -74539373, -74539293, -74539181, -74539037, -74538861, -74538653? 16*q**2 - 74539437 What is the n'th term of -2455, -4908, -7321, -9694, -12027, -14320? 20*n**2 - 2513*n + 38 What is the q'th term of -156218, -155698, -155176, -154652, -154126, -153598, -153068? q**2 + 517*q - 156736 What is the r'th term of -661779640, -661779639, -661779638, -661779637, -661779636? r - 661779641 What is the l'th term of -162, -3006, -10736, -25800, -50646, -87722, -139476, -208356? -408*l**3 + 5*l**2 - 3*l + 244 What is the a'th term of -608752, -608753, -608754, -608755, -608756? -a - 608751 What is the v'th term of 2773, 22087, 74491, 176527, 344737, 595663, 945847? 2757*v**3 + 3*v**2 + 6*v + 7 What is the c'th term of 8867, 17636, 26303, 34874, 43355? c**3 - 57*c**2 + 8933*c - 10 What is the h'th term of 168255, 340378, 512501, 684624, 856747? 172123*h - 3868 What is the y'th term of -13301, -16542, -19783? -3241*y - 10060 What is the c'th term of -48920, -98196, -147472, -196748, -246024? -49276*c + 356 What is the x'th term of 40617734, 81235470, 121853206, 162470942, 203088678? 40617736*x - 2 What is the c'th term of -7031, -9554, -12077, -14600, -17123, -19646? -2523*c - 4508 What is the q'th term of 748890, 748878, 748858, 748830, 748794, 748750? -4*q**2 + 748894 What is the p'th term of 366063, 732135, 1098207, 1464279? 366072*p - 9 What is the r'th term of -1844, -3483, -5038, -6509, -7896, -9199? 42*r**2 - 1765*r - 121 What is the q'th term of 86651, 173308, 259983, 346682, 433411, 520176, 606983, 693838? q**3 + 3*q**2 + 86641*q + 6 What is the h'th term of 180932619, 180932618, 180932617, 180932616? -h + 180932620 What is the x'th term of -19479, -7245, 4975, 17175, 29349? -x**3 - x**2 + 12244*x - 31721 What is the l'th term of -227215951, -227215948, -227215943, -227215936? l**2 - 227215952 What is the n'th term of 10144025, 10144030, 10144037, 10144046? n**2 + 2*n + 10144022 What is the z'th term of -8004150, -8004155, -8004160, -8004165, -8004170, -8004175? -5*z - 8004145 What is the n'th term of -17672234, -35344467, -53016694, -70688915? 3*n**2 - 17672242*n + 5 What is the j'th term of 77397, 154800, 232211, 309630, 387057, 464492, 541935? 4*j**2 + 77391*j + 2 What is the w'th term of -90043, -90019, -89995, -89971? 24*w - 90067 What is the q'th term of -7942, -15965, -24068, -32293, -40682? -7*q**3 + 2*q**2 - 7980*q + 43 What is the x'th term of 34389, 68803, 103265, 137793, 172405? 3*x**3 + 6*x**2 + 34375*x + 5 What is the c'th term of -1214, 667, 3804, 8197, 13846? 628*c**2 - 3*c - 1839 What is the y'th term of -1295913, -1295929, -1295959, -1296003? -7*y**2 + 5*y - 1295911 What is the k'th term of -130821, -130826, -130831, -130836, -130841? -5*k - 130816 What is the o'th term of 12045, 48821, 110115, 195927, 306257, 441105? 12259*o**2 - o - 213 What is the b'th term of 26016165, 26016168, 26016171? 3*b + 26016162 What is the l
{ "pile_set_name": "DM Mathematics" }
1*f**4/24 - 2*f**3 - 30*f**2. Let m be v(-4). Solve -4*o - 14 = k - m*k, 0 = o + 4 for k. 2 Suppose 986 - 188 = -7*b. Let j be (-1 - 1)/(19/b). Suppose -5*k = -11*k + j. Solve 0 = -x + 4*o, k*o - o = -1 for x. -4 Let s = -4 - -6. Let y be ((-159)/(-265))/(3/25). Suppose -20 = -4*b, y*i - 2*b + b = -5. Solve d - 1 = x, -s*x + i*d - d + 10 = 0 for x. 3 Let m be (-3504)/(-803) + 4/(-11). Solve -m*h - 3 = -5*i + 2*i, -4*h = -12 for i. 5 Let a(p) = p**3 + 8*p**2 + 10*p + 2. Let z be a(-4). Let i be (-3)/(z/(-4) + 5). Solve 0 = 5*c - 4*n - 3 + 2, -i*n - 17 = 3*c for c. -3 Let y be 5 - (15/(-20))/(2*(-5)/(-440)). Solve -5*h + 35 = -y*s + 43*s, -4*h - s = -25 for h. 6 Suppose -228*t + 96 = -226*t - 3*c, 3*t - 4*c - 145 = 0. Solve 53*i + 5*q = t*i + 1, 5*i - 19 = 4*q for i. 3 Suppose 10*r - 8*r = -6, -50 = -2*t - 2*r. Suppose -t*j = 8*j - 72. Solve 3*q + 6 = 6*k - 5*k, -4 = -k + j*q for k. 0 Let f be 17 - (-16)/((-336)/273). Solve 4*u = f*x - 28, 7 = 5*u - 4*x + 39 for u. -4 Let q(y) = -y**3 + y**2 - 2*y + 1. Let i be q(1). Suppose 29 = -10*g + 9. Let k be ((-2)/(-1))/(i*1/g). Solve -2*a - 2*z = 10, k*a - a + 9 = 3*z for a. -4 Let r be (-485)/20 - -24 - ((-2333)/4 - 1). Solve -j = 2*a + 7, -r*a = -580*a - 4*j - 16 for a. -1 Let i be ((-90)/(-21))/(2 - 25/14). Suppose 5*t = -5*s + i, 0 - 2 = -s + t. Solve 5*k - 29 = -4*r, 2*k = 3*k + s*r - 8 for k. 5 Let l be ((-4)/6)/(1/((-54)/12)). Suppose 1 = -l*n - 11, -4*c - 4*n = -252. Let b = c - 66. Solve -3*o + 2*k + 2 = -5, -4*k + b = -3*o for o. 5 Let t be (-30)/(-8) - 1/(-4). Suppose 2709*r - 888 = 2635*r. Solve -4*q - 3*m = -r, -2*q = m - 0*m - t for q. 0 Suppose 629 = 30*d + 509. Solve 3 = 5*o + 2*y + 20, -d*o = -3*y + 32 for o. -5 Let c(m) = m**3 + 42*m**2 + 79*m - 5. Let n be c(-40). Suppose n*u = 27*u + 256. Solve 2*i = 2*b - i - 17, 5*b - u = 4*i for b. 4 Let m = -9949 - -9981. Solve 3*y + u = 1 - 9, -3*u = -5*y - m for y. -4 Let i be (16/16)/(1/2). Suppose 3*v = -i*w + 72, -v = -3*w - 3*v + 103. Let d = w + -25. Solve 2*b + 4*q = d*q + 24, -2*q - 16 = -2*b for b. 4 Let f(r) = -1518*r - 9106. Let g be f(-6). Solve 3*i = -4*t + 22, 120*t - g*i - 4 = 118*t for t. 4 Suppose 5*u = 3*s - 505, -4*s = s - u - 827. Suppose i - s = -10*i. Solve 0 + 6 = -2*z - 2*n, 5*z - 2*n = -i for z. -3 Let v = -10768 + 10781. Solve 3*m - i = -5, -5*m - v = -2*i - 6 for m. -3 Let j = 21194 - 21194. Solve -z + 1 = 3*a, 4*a + 2*z = -j*z + 2 for a. 0 Let q(a) = -a + 7. Let s be q(4). Suppose -5*w - 104 = 4*b, -5*b + s*w + 2*w = 130. Let r = b - -30. Solve 0*z + 2*z = 2*k + r, -z - 7 = -4*k for k. 3 Let d(u) = 3*u**2 + 4*u + 5*u**2 - 15*u - 9*u**2 - 6. Let t be d(-10). Solve -3 = 5*m + 3*j, -t*m + 3*j - 15 = 9 for m. -3 Let q = 427 - 422. Let o be ((-2)/(-6))/((-6)/(-216)). Suppose 4*w - 3*i - 12 = 0, -i - 2*i = 4*w + o. Solve 4*x - 12 - 8 = w, -4*y + 41 = q*x for y. 4 Let f be 0/((-2)/(-3 - -2)). Suppose f*d + 76 = 4*d. Let l = d + -14. Solve l*k + 33 = -2*s, 2*s - 5*k + k - 12 = 0 for s. -4 Let p(s) = s + 72. Let v be p(-44). Solve 2*l - 1 + 9 = 0, 0 = 3*w - 4*l - v for w. 4 Let k(i) = -3*i**3 - 2*i**2 + 4*i - 5. Let m be k(-3). Suppose -13*j = m + 6. Let o be 1 - 6/j - 5/(-10). Solve 5*x + o*f = -0*f - 6, 3*f - 9 = 0 for x. -3 Suppose 0 + 4 = m. Suppose 5*g = 3*w + 137 + 3, -m*g + 85 = 3*w. Let o be 0/(55/g + 2/(-10)). Solve 2*a = 3*h - 3, h + o*h + 10 = -3*a for a. -3 Let m be (-3)/((-3 + 128/43)/(-1)). Let t = m + 131. Solve 7 - 20 = 4*i - 5*p, 7 = -i + t*p for i. 3 Let x be (-1 - (-12 - -16))*-1. Suppose -4*m + m = -3*j + 6, 0 = m. Solve j*u - 28 = 4*t - 6, -x*u - 5*t + 10 = 0 for u. 5 Let s = 11168 - 11165. Solve 3*v = -5*q - 32, -q - 16 = s*v - 0*v for q. -4 Let l(v) = 4*v**2 + 2*v - 3. Let a be l(1). Suppose 0 = c + a, h + 7*c = 3*c - 54. Let u be ((-14)/h)/((-2)/(-36)). Solve 2*q = u, -7*g = -2*g - 5*q + 10 for g. 1 Suppose 5*l + 0 - 80 = -5*p, 3*l = 3. Let f be ((-24)/p)/(2/(-5)). Solve 5*u + 16 = 4*v, 5*u + 2*v - 3*v = -f for u. 0 Let h(b) = 26*b - 750. Let u be h(29). Solve -g + 2*g = u*c - 11, 5*c - 1 = -3*g for g. -3 Suppose -3*j - 17 = -l, -73*l + 2*j + 18 = -69*l. Solve l = -2*a + 5*d, 8*a + 3 = 5*a - 4*d for a. -1 Suppose 5*j + 176 - 591 = 0. Let v = j - 78. Suppose -2*t + v*r - 7*r - 8 = 0, -4 = r. Solve i - g = 5, t = 5*i - 3*g + g - 10 for i. 0 Suppose -d - 81 = -3*s - 331, 8 = 2*s. Let x = 263 - d. Solve 3*a + x = 2*m - 0*m, -3*a = -3*m for m. -1 Let r be 10/3 + 416/39 + -11. Solve k + v - 1 = 0, -r*v - 17 = -5 for k. 5 Suppose 0 = -18*v - 37*v + 9 + 156. Solve v*i + 6 = -4*l - 1, -i + l - 7 = 0 for i. -5 Let x = -12 + -17. Let u = x - -30. Suppose -10 = 6*n - n, c + u = -2*n. Solve 2*y = w - 3*y - 7, -3*w - c*y = 15 for w. -3 Let p = 41 + -50. Let t be -3 - (-22)/6 - 156/p. Solve d - 11 = 2*f - 4, d + 3*f + t = 0 for d. -3 Let n be (-60)/18*(-27)/(-6). Let o be 2/(-6) + (-80)/n. Solve -3*a + o*z + 37 = 0, 0*z - 2*z + 6 = 4*a for a. 4 Let b = 13278 - 13278. Let m be 2 + (-4)/(-16)*4. Let i = -13 + 18. Solve b = m*s + 5*k - 28, -2*k + i + 2 = -3*s for s. 1 Let z = 49 - 49. Suppose 3*l = 5*p - 9, z = 3*p - l - 4 + 1. Suppose p = 6*g - 32 - 58. Solve -3*k = -4*w - w - 40, w = 2*k - g for w. -5 Let v = 9205 - 9164. Solve 3*d + 20 = 4*m, 0 = 3*m + 4*d + 26 - v for m. 5 Suppose 8*o + 5*t = 3*o + 35, -5*o = 3*t - 33. Suppose 2 - o = g. Let u be (-1)/g + 42/24 + -2. Solve -n = u, n = 2*l + 4*n - 6 for l. 3 Suppose -137*j + 220 + 326 = 135. Suppose 4*u - 2*g - 3 = 5, 0 = 5*u - 3*g - 12. Solve 5*k + 7 = -4*i + i, u = -i - k - j for i. -4 Suppose 15*n - 105 = -12*n + 57. Solve -2*p + n = -0*a + 2*a, 0 = 3*p + 4*a - 11 for p. 1 Suppose 8*a - 4*u = 3*a + 458, -5*u = -15. Let p = 97 - a. Solve -p*q = -2*l + 3, 0 = -3*q + l + 2*l for q. -3 Let p be (75/45)/(2/6). Solve -4*m - 16 = q, -p*q - 14 = -3*q + 2*m for q. -4 Let s be (-180)/(-108)*24/20. Let n be (-2 + 1/2)*20/(-30). Solve 4*f + n = -5*a, 28 = 4*a - 2*f - s*f for a. 3 Suppose 3830*n = 3813*n + 34. Solve -3*q = 5*w, 33*q - 32*q + 11 = n*w for w. 3 Suppose -29*n + 560 = -78. Suppose -34 + n = -6*r. Solve r*z + 0*z = u - 10, 2*u - 5*z = 23 for u. 4 Suppose 5*f = 4*r - 317, 20*f = 15*f - 5. Let k = -75 + r. Solve 0 = 5*z + 4*x + 25, -x - k = -3*z - 18 for z. -5 Let t be (-8)/(-76) - 68/(-76). Solve v + 12 = -2*y + t, -4*y = 12 for v. -5 Let a(n) = 9*n**2 + 41*n - 6. Let r be a(-5). Let o be (-4)/8*r + 10. Solve o*x = -3*q + q + 5, -2*x = 3*q for q. -2 Let m be (-39)/(-5)*11/(-44)*(-120)/18. Solve 0 = 4*d + z + 3*z + 20, -5*z = d + m for d. -3 Let s = 5505 + -5497. Solve 18 = 2*w - 3*y, -s*w + 4*w - 5*y = 8 for w. 3 Suppose 3*s + 43*t = 39*t - 15, 0 = 3*s + 2*t + 3. Solve -8 = d + 3*x, s*x = -5*d + 11 - 39 for d. -5 Suppose -8 = 3*u - 29. Suppose u*x = 12*x - 5. Let o be ((-20)/15)/(x/(-3)). Solve -t + 6 = -z + 6*z, -t - o = 0 for z. 2 Let s = -24705 - -24705. Solve -5*t - 5*b + 45 = s, 0 = 16*b - 21*b + 25 for t. 4 Suppose -3*f + 232 = r, -2*f - 36 + 184 = 4*r. Let q be 1/(-3) + (-52)/f - -6. Solve 0 = -q*h - 3*g - 18, 2*g - 5*g - 3 = 0 for h. -3 Let f = -12 - 41. Let c = -40 - f. Suppose 1 = -3*b + c. Solve -5*k + 10 = b*m, -4*k - 6 = 2 for m. 5 Let s(k) = -k**3 - 13*k**2 + 15*k + 17. Let z be s(-14). Let y be (-4)/14 - (-247)/7. Suppose 36*d = y*d + 2. Solve 4*b = l + 2, 0*l - z = b - d*l for b. 1 Let w = -205 + 324. Suppose -11*p + w = -156. Solve -2*k + 0*k - 10 = 5*i, 0 = 5*i - k + p for i. -4 Let f = -68 - -72. Suppose -16*y + 18*y - f = 0. Let m be (-2)/5 + (-21)/(-15). Solve 0 = -y*a + g - m, -2*g = a - 6*g - 3 for a. -1 Let u(x) = 5*x**2 + 540*x + 3. Let n be u(-108). Solve -3*r - w - n*w = 26, -5*w = 2*r + 29 for r. -2 Suppose 0 = i + 4*p - 10, 5*p + 9 = -4*i + 27. Suppose -16*q = -18*q + i. Solve -w + 2*v = 3*w - 12, 3*w + q = -v for w. 1 Let l(w) = -2*w**3 - 16*w**2 + 19*w + 16. Let z be l(-9). Let v be 42/z - (4 + -2). Solve -a = 4*x + 14, -2*a + 3*a = v*x + 10 for a. -2 Suppose -86 - 254 = -97*w - 49. Solve -5*c - w*b - 68 + 42 = 0, -4*b = 5*c + 28 for c. -4 Let c = 15239 + -15236. Solve 12 = -3*u + 3*y, -u + c*y + 42 = 50 for u. -2 Let h = 9176 - 9173. Solve 0 = 7*i - 10*i - s + 14, 0 = -h*i + s + 10 for i. 4 Suppose -164*o - 364 = -190*o. Solve -4*b = -3*t + 23, 3*b - o = 6*b + t for b. -5 Let p = -6 - -8. Suppose 8 = 4*f - 4*o, -2*f + 0*o - o + 4
{ "pile_set_name": "DM Mathematics" }
1*m**2/8 - 79*m/8 + 13/4 = 0. Calculate m. 1, 26 Let -14*a**3/5 + 152*a**2 + 554*a/5 - 44 = 0. What is a? -1, 2/7, 55 Factor 7*l**4/4 + 5*l**3/4 - 37*l**2/4 + 31*l/4 - 3/2. (l - 1)**2*(l + 3)*(7*l - 2)/4 Factor -i**3/3 + 37*i**2/3 - 55*i/3 - 175. -(i - 35)*(i - 5)*(i + 3)/3 Factor 10*i**2/7 - 1156*i/7 - 464/7. 2*(i - 116)*(5*i + 2)/7 Factor -r**4/6 + 11*r**3 - 363*r**2/2. -r**2*(r - 33)**2/6 Let -2*q**4/5 - 94*q**3/5 + 612*q**2/5 - 1256*q/5 + 848/5 = 0. What is q? -53, 2 Factor 3*l**3/2 + 11169*l**2 + 27721458*l + 22934886252. 3*(l + 2482)**3/2 Find f such that f**3/4 + 15*f**2/4 - 19*f = 0. -19, 0, 4 Factor 2*n**2 - 374*n. 2*n*(n - 187) Find a such that 2*a**2 - 1300*a + 1298 = 0. 1, 649 Factor n**5 + 17*n**4 + 79*n**3 + 155*n**2 + 136*n + 44. (n + 1)**2*(n + 2)**2*(n + 11) Find u, given that 5*u**3 - 10890*u**2 - 21795*u - 10900 = 0. -1, 2180 Factor -2*s**2/13 + 420*s/13 - 22050/13. -2*(s - 105)**2/13 Solve 5*n**4 + n**3 - 15*n**2 + 7*n + 2 = 0. -2, -1/5, 1 Factor -4*o**4 - 116*o**3 - 476*o**2 + 5780*o. -4*o*(o - 5)*(o + 17)**2 Suppose -5*h**2 - 2380*h + 12025 = 0. What is h? -481, 5 Suppose -25*i**3 + 540*i**2 - 2580*i - 1120 = 0. Calculate i. -2/5, 8, 14 Factor 2*p**5/15 - 2*p**4/5 + 2*p**3/5 - 2*p**2/15. 2*p**2*(p - 1)**3/15 Factor -3*g**2 + 18*g - 15. -3*(g - 5)*(g - 1) Factor 4*f**5/7 - 240*f**4/7 + 3352*f**3/7 + 7440*f**2/7 + 3844*f/7. 4*f*(f - 31)**2*(f + 1)**2/7 Factor 4*j**4 - 16*j**3 + 20*j**2 - 8*j. 4*j*(j - 2)*(j - 1)**2 Let 3*s**4 + 39*s**3 + 162*s**2 + 276*s + 168 = 0. What is s? -7, -2 Find r, given that 2*r**4/7 - 46*r**3/7 + 160*r**2/7 - 152*r/7 = 0. 0, 2, 19 Find i such that 3*i**3 - 84*i**2 + 528*i - 960 = 0. 4, 20 Suppose t**2 + 232*t - 2169 = 0. What is t? -241, 9 Factor 5*b**2 + 3020*b + 456020. 5*(b + 302)**2 Factor -10*k**3 + 3478*k**2 + 4186*k + 698. -2*(k - 349)*(k + 1)*(5*k + 1) Factor p**2/6 + 13*p/6 + 2. (p + 1)*(p + 12)/6 Solve 2*p**5/3 - 86*p**4/3 - 370*p**3/3 - 290*p**2/3 + 368*p/3 + 376/3 = 0. -2, -1, 1, 47 Suppose 2*m**3 - 10*m**2 - 64*m - 72 = 0. Calculate m. -2, 9 Find b such that b**5 - 14*b**4 + 53*b**3 - 40*b**2 = 0. 0, 1, 5, 8 Let 4*h**3 - 12*h**2 - 4*h + 12 = 0. What is h? -1, 1, 3 Factor 2*w**3/5 - 1028*w**2/5 + 1022*w/5 + 2052/5. 2*(w - 513)*(w - 2)*(w + 1)/5 Factor 2*o**4/9 + 26*o**3/3 - 82*o**2/3 + 250*o/9 - 28/3. 2*(o - 1)**3*(o + 42)/9 Factor 2*r**2/19 + 18*r/19 - 104/19. 2*(r - 4)*(r + 13)/19 Find h such that -3*h**3 + 108*h**2 + 468*h + 480 = 0. -2, 40 Determine j, given that -127*j**2/4 - 31*j + 3/4 = 0. -1, 3/127 Factor c**3 - 45*c**2 + 44*c. c*(c - 44)*(c - 1) Factor -75*c**5/4 + 135*c**4/2 + 117*c**3/4 + 3*c**2. -3*c**2*(c - 4)*(5*c + 1)**2/4 Suppose -21*m**5 + 61*m**4/2 + 196*m**3 + 82*m**2 - 40*m = 0. What is m? -2, -5/6, 0, 2/7, 4 Determine t, given that 3*t**4/2 + 147*t**3 + 3744*t**2 + 6912*t = 0. -48, -2, 0 Solve 4*c**3 - 628*c**2 - 1272*c = 0 for c. -2, 0, 159 Factor -5*o**2 - 525*o - 520. -5*(o + 1)*(o + 104) Factor 4*v**3 + 705*v**2 + 876*v + 175. (v + 1)*(v + 175)*(4*v + 1) Solve -5*h**5 - 6210*h**4 - 2564710*h**3 - 349629200*h**2 + 1066933875*h - 714733750 = 0. -415, 1, 2 Solve -2*n**2/17 + 232*n/17 - 6728/17 = 0. 58 What is f in -4*f**4 - 612*f**3 - 604*f**2 + 612*f + 608 = 0? -152, -1, 1 Factor -2*n**2/13 - 96*n/13 - 1152/13. -2*(n + 24)**2/13 Factor 2*c**4/7 + 262*c**3/7. 2*c**3*(c + 131)/7 Suppose 72*o**5 - 164*o**4 + 32*o**3 + 16*o**2 = 0. What is o? -2/9, 0, 1/2, 2 Solve -2*d**2/7 - 12*d/7 - 10/7 = 0. -5, -1 Suppose -4*r**5 + 40*r**4 + 24*r**3 - 448*r**2 - 788*r - 360 = 0. What is r? -2, -1, 5, 9 Solve u**3/8 - 5*u**2/4 + 7*u/8 + 9/4 = 0. -1, 2, 9 Suppose 35*h**4/2 - 11885*h**3/4 + 16255*h**2/2 + 9215*h/4 - 2505/2 = 0. What is h? -1/2, 2/7, 3, 167 Let 3*l**4 - 9*l**3 - 72*l**2 + 240*l = 0. What is l? -5, 0, 4 Find k, given that 2*k**2/11 - 72*k/11 + 70/11 = 0. 1, 35 Let -17*f**2/4 + 35*f/2 - 2 = 0. What is f? 2/17, 4 Factor z**3/9 + 367*z**2/9 - z/9 - 367/9. (z - 1)*(z + 1)*(z + 367)/9 Factor -s**2/4 + 78*s + 313/4. -(s - 313)*(s + 1)/4 Factor -4*l**2/13 + 22*l/13 + 42/13. -2*(l - 7)*(2*l + 3)/13 Determine o so that 4*o**4 - 32*o**3 + 8*o**2 + 128*o + 84 = 0. -1, 3, 7 Factor n**2 + 9*n + 8. (n + 1)*(n + 8) Determine x so that 2*x**4 - 40*x**3 + 252*x**2 - 392*x - 686 = 0. -1, 7 Factor g**2/6 + 4*g - 697/6. (g - 17)*(g + 41)/6 Factor -d**3 - 29*d**2 + 128*d - 132. -(d - 2)**2*(d + 33) Suppose -10*c**3/7 + 36*c**2/7 + 66*c/7 + 20/7 = 0. Calculate c. -1, -2/5, 5 Factor d**5/3 - 74*d**4/3 + 1918*d**3/3 - 19136*d**2/3 + 38617*d/3 + 170338/3. (d - 23)**3*(d - 7)*(d + 2)/3 Let -32*m**5 + 12432*m**4 - 1198050*m**3 - 1836904*m**2 + 1142310*m - 152100 = 0. Calculate m. -2, 1/4, 195 Factor -4*j**4/3 + 4*j**3/3 + 8*j**2. -4*j**2*(j - 3)*(j + 2)/3 Suppose 75*g**5 + 8385*g**4 + 257097*g**3 + 1255047*g**2 + 882768*g + 168540 = 0. What is g? -53, -5, -2/5 Determine q, given that 5*q**4 - 45*q**2 + 20*q + 60 = 0. -3, -1, 2 Factor -3*p**4 + 474*p**3 - 2295*p**2. -3*p**2*(p - 153)*(p - 5) Determine d, given that -d**2 - 304*d + 921 = 0. -307, 3 Factor -2*i**3 - 32*i**2 + 72*i. -2*i*(i - 2)*(i + 18) Let -t**4/2 + 20*t**3 - 219*t**2 + 380*t - 361/2 = 0. Calculate t. 1, 19 Factor -2*b**5 + 18*b**4 + 368*b**3 + 1408*b**2 + 768*b - 2560. -2*(b - 20)*(b - 1)*(b + 4)**3 Factor -3*q**3/7 - 3834*q**2/7 - 1221120*q/7 + 2457600/7. -3*(q - 2)*(q + 640)**2/7 Solve -j**3/2 - 55*j**2/2 - 364*j + 392 = 0 for j. -28, 1 Determine w so that -196*w**2/3 + 2408*w/3 - 7396/3 = 0. 43/7 What is m in -m**5/2 + 18*m**4 - 89*m**3/2 - 177*m**2 + 396*m = 0? -3, 0, 2, 4, 33 Factor 500*q**4 - 2100*q**3 + 2040*q**2 - 752*q + 96. 4*(q - 3)*(5*q - 2)**3 Factor 17*p**2/2 - 53*p + 12. (p - 6)*(17*p - 4)/2 Factor -4*z**4 - 20*z**3 + 188*z**2 - 156*z - 360. -4*(z - 3)**2*(z + 1)*(z + 10) Factor -2*d**3/7 + 162*d**2/7 - 624*d/7 + 88. -2*(d - 77)*(d - 2)**2/7 Find g, given that -2*g**2/7 - 18*g/7 - 36/7 = 0. -6, -3 Suppose 2*r**3/5 - 394*r**2/5 + 19206*r/5 + 19602/5 = 0. What is r? -1, 99 Factor 136161*l**2/4 + 1845*l + 25. (369*l + 10)**2/4 What is q in -q**2/4 + 37*q/2 + 75/4 = 0? -1, 75 Factor -7*l**3 + 129*l**2 + 76*l. -l*(l - 19)*(7*l + 4) Factor k**2 - 1603*k/4 - 401/4. (k - 401)*(4*k + 1)/4 Factor 2*c**2/3 + 64*c/3 + 40. 2*(c + 2)*(c + 30)/3 Factor -3*r**2 + 9*r + 12. -3*(r - 4)*(r + 1) What is r in -10*r**4 - 15*r**3 + 5*r = 0? -1, 0, 1/2 Solve 3*o**3 + 771*o**2 + 46728*o - 365904 = 0. -132, 7 Solve -a**5/7 + 17*a**4/7 + 12*a**3/7 - 188*a**2/7 - 272*a/7 = 0 for a. -2, 0, 4, 17 Let -g**3/6 + 37*g**2/2 - 1369*g/2 + 50653/6 = 0. Calculate g. 37 Suppose 10*f**2/7 - 18*f/7 - 4/7 = 0. Calculate f. -1/5, 2 Factor k**3/2 + 265*k**2/3 + 1208*k/3 + 688/3. (k + 4)*(k + 172)*(3*k + 2)/6 Factor -3*t**4/5 + 711*t**3/5 - 56169*t**2/5 + 1479117*t/5. -3*t*(t - 79)**3/5 Let -3*c**2/8 + 102*c - 4005/8 = 0. What is c? 5, 267 Find v such that -v**5/7 + 6*v**4/7 - 12*v**3/7 + 10*v**2/7 - 3*v/7 = 0. 0, 1, 3 Find d, given that -2*d**2 - 144*d + 3240 = 0. -90, 18 Factor 20*a**4 + 368*a**3 + 132*a**2 - 216*a. 4*a*(a + 1)*(a + 18)*(5*a - 3) Solve -2*n**2/13 + 6*n + 164/13 = 0 for n. -2, 41 Factor v**4/4 - 19*v**3 + 32*v**2 + 364*v + 444. (v - 74)*(v - 6)*(v + 2)**2/4 Determine p, given that 3*p**4/4 + 9*p**3/2 - 39*p**2/4 - 63*p/2 = 0. -7, -2, 0, 3 Factor 2*p**3/13 - 188*p**2/13 + 4928*p/13 - 23232/13. 2*(p - 44)**2*(p - 6)/13 Factor 4*y**3 + 2964*y**2 + 553500*y + 1633932. 4*(y + 3)*(y + 369)**2 Suppose -2*v**5/7 - 6*v**4/7 + 10*v**3/7 + 6*v**2/7 - 8*v/7 = 0. What is v? -4, -1, 0, 1 What is h in 5*h**3 + 920*h**2 + 1825*h + 910 = 0? -182, -1 Let 15*y**4/2 + 320*y**3 + 1015*y**2/2 - 205*y = 0. What is y? -41, -2, 0, 1/3 Factor 2*m**3 + 148*m**2 + 690*m. 2*m*(m + 5)*(m + 69) Suppose -p**4/5 - 7*p**3 - 258*p**2/5 - 128*p - 416/5 = 0. What is p? -26, -4, -1 Factor -4*q**5 - 796*q**4 - 52248*q**3 - 1092904*q**2 + 2567708*q + 3609156. -4*(q - 3)*(q + 1)*(q + 67)**3 Factor 3*b**2/5 + 33*b/5 + 54/5. 3*(b + 2)*(b + 9)/5 Factor -2*o**4 - 294*o**3 - 1716*o**2 - 3400*o - 2256. -2*(o + 2)**3*(o + 141) Solve 4*p**3 + 68*p**2 + 160*p - 624 = 0. -13, -6, 2 Factor -5*t**2 - 112*t - 44. -(t + 22)*(5*t + 2) Determine i so that 2*i**4/7 + 1544*i**3/7 + 446988*i**2/7 + 57512456*i/7 + 2774976002/7 = 0. -193 What is g in g**5/5 + 3*g**4/5 - 3*g**3/5 - 7*g**2/5 + 6*g
{ "pile_set_name": "DM Mathematics" }
n r, 2, -3? r Let u be 203/(-87) + (-8)/(-6). Suppose -4 = 5*q - 14. Which is the third smallest value? (a) u (b) -0.1 (c) q c Let u = -1.28 + 0.43. Let p = -1.25 - u. What is the second smallest value in p, 4/5, -0.2? -0.2 Let g be 1/2 - 2/8. Let o = -3746/6629 + -6/947. Which is the second smallest value? (a) -0.2 (b) 3 (c) o (d) g a Let g be 25/((-150)/24)*(-3)/246. Let f = 5 + 0. What is the smallest value in 1/9, g, f? g Suppose -p - 3*p + 28 = 3*n, 2*p = 3*n - 4. Let t = -6 - -1. Let s = t + p. Which is the third biggest value? (a) 0.05 (b) -4 (c) s b Let d(w) = w**3 - 3*w**2 - 4*w - 3. Let o be d(5). Let l = o + -23. Suppose 5 = -2*i - 4*a - 9, -l*i + 2 = -2*a. What is the smallest value in -0.5, 2.6, i? i Let y = -62 + 61.96. Let l be 3*-1 + (2 - 2). Which is the second smallest value? (a) l (b) -0.3 (c) y b Let i = 0.346 - -0.044. Let x = 0.39 - i. Let k = 12 + -6. What is the third biggest value in k, 2/7, x? x Let u = -132.6 + -2.4. Let t = u - -134.7. Which is the second biggest value? (a) 2/21 (b) 3/5 (c) 5 (d) t b Let z = 20/177 + 202/7611. Let g = -154/129 - z. Let u be (9/30)/(24/(-100)). What is the second biggest value in u, g, 4? u Let k = 56.5 - 57. Which is the third biggest value? (a) 0.58 (b) k (c) -2 c Let w = 7 - 2. Let i = 107 + -54. Let v = -53.1 + i. What is the third smallest value in w, v, 0.3? w Let d = -1764 - -1760. Let n = 0 + 0.1. Let p = 7 + -10. Which is the third smallest value? (a) p (b) n (c) d b Let o = -68 - -63. Let l = 0.048 + 0.452. What is the third biggest value in l, 11, o? o Let t = 0.148 + 1.852. Which is the third smallest value? (a) t (b) 2.7 (c) 5 c Let n = -23/2 + 12. Let l = 1 - 1.2. Let q = 5.2 + l. Which is the smallest value? (a) q (b) n (c) -0.05 c Let f = -241 + 241.3. Which is the fourth biggest value? (a) 0.2 (b) 1 (c) f (d) -0.9 d Let g = -38.8 - -34.8. Let y = -0.02 - 2.98. Which is the third biggest value? (a) y (b) -0.19 (c) g c Let z = 972 + -971. Let x = 3/61 - 137/305. What is the fourth smallest value in -5, 5, x, z? 5 Suppose -776*v + 798*v = 22. Let n be (2/28)/(1/2). What is the second biggest value in n, v, -5/4? n Let f = 49 - 49.5. What is the third smallest value in 0.4, -3, -0.4, f? -0.4 Let u(j) = -39*j - 126. Let f be u(-4). What is the second smallest value in 0, -2, f? 0 Let d be ((-14)/357)/((-2)/(-16416)). Suppose 660 = -2*g + 4*q, 3*g + 950 = q - 5*q. Let r = g - d. Which is the second biggest value? (a) r (b) 5 (c) 0 c Let n = 45 + -45.36. Let o = n + 0.36. Let y = 13 + -18. Which is the second biggest value? (a) o (b) y (c) -4 c Let q = -2/5147 + 20706/303673. What is the second biggest value in q, 3, -1/4? q Let g = -45.2 + 53.2. What is the second smallest value in g, 2/17, -2/5? 2/17 Let z = -0.498 - 3.502. Which is the second biggest value? (a) z (b) -1 (c) 1 b Let a be 3/(-9) + 2/(-21). Let s = -35.77 - -39.77. What is the biggest value in -2/19, 2/9, s, a? s Let w = -341 - -340.967. Which is the biggest value? (a) -1 (b) -2/11 (c) w c Let i = 6 + -6. What is the third biggest value in -2, i, -98? -98 Let m = 0.063 - -0.037. Let k = 42 + -40. Which is the second biggest value? (a) -0.07 (b) k (c) m c Let r = 117/11 - 340/33. What is the biggest value in r, 5, 1/5? 5 Let f = 39.02 + -39. Let l = -253/7 + 36. Which is the third smallest value? (a) 2/3 (b) l (c) f a Let s = 76 + -68. Let r(w) = -w**2 - w + 1. Let c be r(0). Let f = c - 5. What is the second smallest value in s, f, -3/5? -3/5 Let n = -30 + 28.44. Let v = n - -0.06. Let f = v + 1.3. Which is the smallest value? (a) f (b) 5 (c) -1/7 a Let f = 0.1 - 0.3. Let u = 59.9 - 54.9. Which is the second smallest value? (a) u (b) -4 (c) f c Let k = -771/2 + 385. What is the fourth smallest value in 4, -0.4, k, 6/11? 4 Let v be (-1 + 6/5)*-3. Suppose -12*u = -11*u. Let q be u + (-4)/48*-9. Which is the smallest value? (a) q (b) -1 (c) v b Let v = -1156 - -1155.7. Let d = 25 - -7. Suppose -7 + d = -5*m. Which is the second smallest value? (a) 3 (b) m (c) v c Let l = -4 - -6. Let p = 1.53 - 0.53. Let g = p - 0.96. What is the biggest value in l, -5, g? l Let c(u) = -u**3 - 4*u**2 - u - 3. Let q be c(-4). Let b = -23 - -12. Let h(i) = -i**2 - 12*i - 7. Let t be h(b). What is the second smallest value in 5, t, q? t Suppose 112*m - 101*m - 11 = 0. Which is the third biggest value? (a) 1/9 (b) -1/16 (c) -1 (d) m b Suppose -350 = 5*w + 3*a, -2*w - 149 = a + 2*a. Let x = w + 601/9. What is the third biggest value in -5, x, -1/3? -5 Suppose 17*v - 3*z - 15 = 22*v, 2*v = -z - 6. Let y(i) = -i**3 - 4*i**2 + 5*i + 5. Let j be y(-5). Which is the smallest value? (a) j (b) -0.2 (c) v c Let z = 53/2 - 29. Let n = 60.8 + -66. Let f = 4.9 + n. Which is the third smallest value? (a) z (b) 1 (c) f b Let g be (-544)/(-238) + 1*2*-1. Let c = 14.8 - 15. What is the fourth biggest value in -4, g, 6, c? -4 Let g be (-2515)/(-15)*12/18392. Let p = g + -1/242. What is the second smallest value in p, -0.4, -1/3? -1/3 Let q = -230.7 - -175. Let u = 55 + q. What is the third biggest value in 1, u, -4? -4 Let l = 608/2471 + 14/353. What is the third smallest value in -5/4, l, -0.285? l Let y be -82 + (-2 + 0)*2. Let u = y + 83. What is the third smallest value in 2/17, u, 2? 2 Let g = 13 + -11.9. Let l = -0.1 + g. Let h = -0.16 + -0.14. Which is the second smallest value? (a) 3 (b) h (c) l c Let t be 0 + 0/(-2 + 10) + (-1 - 4). Let v = -648/11 - -59. Which is the fourth biggest value? (a) v (b) 4 (c) -4 (d) t d Let j = -832 - -873. What is the biggest value in 0.3, 2/3, j? j Let y be 402/15 - (-1)/5. Suppose 2*x + x - y = 0. Suppose 0 = b - 4*b + x. What is the smallest value in b, 2, -4? -4 Let m = -1.3 + 12.3. Let d = -11.02 + m. Let w = d - -0.62. Which is the third biggest value? (a) -1 (b) 3/8 (c) w a Let p = 1483 - 1429. Which is the third biggest value? (a) 0 (b) p (c) -1/2 c Let k = -8 + 7.6. Let u = -28 + 7. Let c = 24 + u. What is the biggest value in c, k, -2/3? c Let g = 653 - 650.03. Let j = g - -0.03. Which is the third biggest value? (a) -1 (b) -0.3 (c) j a Let w = 0.0175 + -3.0175. What is the second smallest value in 1/3, w, -5/2, -7? w Suppose -m - z = 2, -5*m - 69 + 107 = -3*z. Let o be 3*(9/5 + -2). Let w = 0 - -5. Which is the second biggest value? (a) w (b) o (c) m c Let y = -5 + 4.97. Let u = -4.03 - y. Let q = -3691/3 + 1230. Which is the third smallest value? (a) 3 (b) q (c) u a Let a = -231 - -1847/8. Let p = -31 + 17. What is the smallest value in a, -5, p? p Let n be (-20)/30*4/8. Which is the fourth biggest value? (a) 2 (b) 9 (c) 3/8 (d) n d Let g = -13 + 38. Let u = 25.11 - g. What is the biggest value in -4, u, 3? 3 Let j = 161 - 167. Let m be (-5)/3*5/(-5). Which is the third smallest value? (a) j (b) -2/7 (c) m c Let l be (-294)/(-52) + 7/14. Let y = l + -6. Which is the second smallest value? (a) 0 (b) 3 (c) y c Let v = 11.949 - -0.051. Let x = v + -11. Let h = 5 + -5.8. Which is the biggest value? (a) 5 (b) h (c) x a Suppose -2*k - 4 = u, -2*k - 9 = -2*u + 13. Let j(n) = -4*n + 7. Let c be j(u). Let y = -19 - c. What is the third smallest value in -0.2, -5, y? -0.2 Let m = 13 - 12.84. Let r = m - 3.16. Let f = r - -3. What is the third biggest value in -0.4, f, -5? -5 Suppose -21*j = -22*j - 4. What is the third biggest value in -2/5, -3/2, j, 0.3? -3/2 Let t = -1815.3 - -1815. Which is the third biggest value? (a) t (b) 1 (c) -79 c Let u = 228 - 217. Which is the third smallest value? (a) 7 (b) 0.5 (c) u c Let p(i) = -i + 1. Let l be p(-5). Let u be ((-22)/l)/(3/(-9)). Let o = -6 + u. Which is the second biggest value? (a) 2 (b) -1/6 (c) o a Let f = -61/2 + 32. Let w = 0.546 - 0.046. What is the fourth biggest value in -0.1, f, w, -4? -4 Suppose -5*f + 3*t - 3 = -f, -2*f + 4*t = 4. Suppose 3*v + 16 - 1 = f. Let i = -1 + 5. Which is the smallest value? (a) i (b) 0.4 (c) v c Let q = -0.9 - -1. Let d = 20 - 20.12. Let l = -0.52 - d. Which is the third smallest value? (a) q (b) l (c) 1/3 c Let v = -1207/4 + 302. Which is the second smallest value? (a) -4/7 (b) v (c) 4 (d) 0.3 b Let s = 1.4 - -0.6. Let n = 0.17 + -2.91. Let v = -0.26 + n. Which is the biggest value? (a)
{ "pile_set_name": "DM Mathematics" }
ndred. 56900 What is 99885503 rounded to the nearest one hundred thousand? 99900000 What is -10604.664409 rounded to the nearest 10? -10600 What is 0.000168087839 rounded to 5 decimal places? 0.00017 What is -2.3874528 rounded to 3 dps? -2.387 What is 601159200 rounded to the nearest one hundred thousand? 601200000 What is 8739.082 rounded to one decimal place? 8739.1 What is 9848.4873 rounded to the nearest 100? 9800 What is -3536569200 rounded to the nearest 1000000? -3537000000 What is 0.0393762054 rounded to 4 dps? 0.0394 What is -74.52399 rounded to zero decimal places? -75 Round 0.000279158847 to 7 dps. 0.0002792 Round 53.12612326 to two decimal places. 53.13 What is 122597.129 rounded to the nearest one thousand? 123000 Round -0.005438156006 to six decimal places. -0.005438 Round -638281.38 to the nearest one hundred. -638300 Round -0.29338657 to 3 dps. -0.293 What is 766712.83 rounded to the nearest one million? 1000000 Round 0.00002756457619 to 7 decimal places. 0.0000276 Round -100705.8163 to zero decimal places. -100706 Round 4353.8778 to the nearest 10. 4350 Round -3319331620 to the nearest one million. -3319000000 Round 243643590.6 to the nearest one hundred thousand. 243600000 Round -0.0004096217451 to four dps. -0.0004 Round 383.192615 to 1 dp. 383.2 Round -24783.161 to the nearest 10000. -20000 What is 954990295 rounded to the nearest one million? 955000000 What is 0.0000171577608 rounded to 7 dps? 0.0000172 Round 233016863 to the nearest one hundred thousand. 233000000 What is -4663870 rounded to the nearest 1000? -4664000 What is 21903942940 rounded to the nearest one million? 21904000000 Round 0.00000332125599 to seven decimal places. 0.0000033 What is -1731076.454 rounded to the nearest ten thousand? -1730000 What is -0.0002085821868 rounded to five decimal places? -0.00021 Round -6012796.6 to the nearest 1000. -6013000 Round -175373.14 to the nearest 100000. -200000 What is -9.421056964 rounded to the nearest integer? -9 What is 0.01026166607 rounded to 4 dps? 0.0103 Round 24417827600 to the nearest one million. 24418000000 What is 2.92094342 rounded to 4 dps? 2.9209 Round 4488075.28 to the nearest one thousand. 4488000 Round -0.0000622743043 to 6 decimal places. -0.000062 What is -0.00408133135 rounded to 7 decimal places? -0.0040813 What is 0.149524802 rounded to three dps? 0.15 Round 388.317999 to one dp. 388.3 What is -0.00878735323 rounded to five decimal places? -0.00879 What is 51877602.97 rounded to the nearest one thousand? 51878000 What is 0.000020242809 rounded to six dps? 0.00002 What is -0.00000393296032 rounded to 7 decimal places? -0.0000039 Round 2330.491028 to one decimal place. 2330.5 Round 367613185 to the nearest 1000000. 368000000 Round -0.0000002672224 to 6 decimal places. 0 Round -7575475.4 to the nearest one million. -8000000 What is -276989.82 rounded to the nearest 100000? -300000 Round 0.065942833 to four dps. 0.0659 Round -87563598.11 to the nearest 1000. -87564000 Round 66385.1461 to the nearest integer. 66385 What is 0.0109323298 rounded to 6 decimal places? 0.010932 Round -0.000000368244669 to 7 dps. -0.0000004 What is 0.004388719976 rounded to 7 dps? 0.0043887 Round -42976685 to the nearest ten thousand. -42980000 Round -56044946.97 to the nearest one hundred thousand. -56000000 What is -12123027700 rounded to the nearest one million? -12123000000 Round 0.00747214038 to five decimal places. 0.00747 Round -86139.007 to the nearest 1000. -86000 Round -0.0119090768 to four dps. -0.0119 Round -0.0075632162 to 6 decimal places. -0.007563 Round -172580.908 to the nearest one hundred thousand. -200000 Round -12219.83664 to the nearest 1000. -12000 What is 0.0000066425323 rounded to six dps? 0.000007 Round -15124857.5 to the nearest one hundred thousand. -15100000 Round -43.062111 to zero decimal places. -43 What is 2698116.4 rounded to the nearest 100000? 2700000 Round 6225.2482 to the nearest 100. 6200 What is -0.00246391278 rounded to six dps? -0.002464 What is 2.056836 rounded to the nearest integer? 2 Round -0.0742705971 to three dps. -0.074 What is 0.000001167699 rounded to six dps? 0.000001 What is -3004.1403 rounded to the nearest ten? -3000 What is 1091035.19 rounded to the nearest 10000? 1090000 What is 0.0019151920843 rounded to 6 decimal places? 0.001915 What is -122216882.59 rounded to the nearest 1000000? -122000000 Round 46136233.9 to the nearest one million. 46000000 Round 18405188.98 to the nearest 10000. 18410000 What is 27.5550578 rounded to one dp? 27.6 What is -3704.902136 rounded to 0 dps? -3705 What is -4.000732918 rounded to four dps? -4.0007 Round 37105814.8 to the nearest ten thousand. 37110000 Round 357894.692 to the nearest 1000. 358000 What is -223148.591 rounded to the nearest 10000? -220000 What is 35242412 rounded to the nearest ten thousand? 35240000 Round -73998134020 to the nearest 1000000. -73998000000 Round -6472.87244 to 0 decimal places. -6473 Round 493851454.9 to the nearest one hundred thousand. 493900000 What is -5025875000 rounded to the nearest one million? -5026000000 What is 979447.006 rounded to the nearest 1000? 979000 What is -177.053133 rounded to 2 dps? -177.05 What is 366786140 rounded to the nearest 10000? 366790000 What is -2.159942006 rounded to 3 dps? -2.16 What is 2.78461583 rounded to four dps? 2.7846 Round 18201.86333 to the nearest one thousand. 18000 What is 40899470.32 rounded to the nearest 10000? 40900000 What is -0.0001524924401 rounded to six dps? -0.000152 What is 0.68431946 rounded to four decimal places? 0.6843 What is 702373.198 rounded to the nearest 1000? 702000 What is -334750.5 rounded to the nearest 1000? -335000 What is 0.000000536370666 rounded to 7 decimal places? 0.0000005 What is 2.514745316 rounded to 2 dps? 2.51 What is 151153.92 rounded to the nearest ten thousand? 150000 What is 27161.9602 rounded to zero decimal places? 27162 What is -8250.916945 rounded to the nearest integer? -8251 What is 314689.11 rounded to the nearest 100? 314700 Round 308319055 to the nearest one million. 308000000 What is 91977033.5 rounded to the nearest one hundred thousand? 92000000 What is 0.0000193368231 rounded to seven decimal places? 0.0000193 Round 60346635.12 to the nearest 1000000. 60000000 Round 4111.3561 to the nearest 100. 4100 What is -23823.97655 rounded to the nearest integer? -23824 Round -0.049017662 to 2 decimal places. -0.05 Round 0.168147427 to 3 dps. 0.168 What is -0.0000236169867 rounded to 6 decimal places? -0.000024 What is -1.999889425 rounded to 4 dps? -1.9999 Round 2474071650 to the nearest 1000000. 2474000000 Round -0.0000770676825 to 6 decimal places. -0.000077 Round 3.02886032 to 3 dps. 3.029 Round 0.00000086834455 to 7 dps. 0.0000009 Round -1.2869613 to two decimal places. -1.29 What is 161930430 rounded to the nearest one hundred thousand? 161900000 Round -25007111.89 to the nearest one million. -25000000 What is 233.9915472 rounded to 2 dps? 233.99 Round -2105246.829 to the nearest ten thousand. -2110000 Round 0.0000385591135 to 6 dps. 0.000039 What is -61519.1338 rounded to the nearest ten thousand? -60000 What is -32141.3279 rounded to the nearest one hundred? -32100 Round -0.258252415 to 4 decimal places. -0.2583 What is -0.00000604543822 rounded to six dps? -0.000006 What is -3394373.736 rounded to the nearest one hundred thousand? -3400000 Round 216566696 to the nearest one million. 217000000 Round 1468607380 to the nearest one million. 1469000000 What is 0.0338287828 rounded to 5 dps? 0.03383 What is 168828600 rounded to the nearest one million? 169000000 Round -22104227040 to the nearest 1000000. -22104000000 Round 0.001081764235 to 6 decimal places. 0.001082 What is -0.0089641433 rounded to four dps? -0.009 Round 354837.31 to the nearest one thousand. 355000 What is 0.005753128 rounded to two decimal places? 0.01 Round -2035.109419 to 1 decimal place. -2035.1 What is -16967496.1 rounded to the nearest one hundred thousand? -17000000 Round -0.002405983305 to 7 dps. -0.002406 What is -7523299106 rounded to the nearest one hundred thousand? -7523300000 Round -0.00055329593 to six decimal places. -0.000553 What is -21201006 rounded to the nearest ten thousand? -21200000 Round -0.000222119861 to fiv
{ "pile_set_name": "DM Mathematics" }
1 = 1803*v - 1807*v, -2 = 2*k for v. 0 Solve 5*c + 7*w - 10*w = 20, -5*c - 5*w - 20 = 0 for c. 1 Solve 15 = 3*c + 205*z - 201*z, -3*c = -z for c. 1 Solve 5*g = -v - 7, g - 4*v - 1185 = -1178 for g. -1 Solve 2*k - 69 = 5*b - 47, -7*k - 3*b - 5 = 0 for k. 1 Solve 0 = -955*h + 960*h + 93*q - 103, 4*h - 10 = -2*q for h. 2 Solve 21*s + 16 = 2*f + 25*s, -4*f = 2*s - 8 for f. 0 Solve 274*q - 7 = 271*q + 2*f, -5*f = -3*q + 4 for q. 3 Solve -1760*d + 1762*d = -3*g + 27, -5*g - 4*d = -55 for g. -1 Solve 0 = 4*v + 3*x - 93, 169 = 2*v + 3*x + 130 for v. 27 Solve -2232*t + 2236*t = 3*f - 24, -54 = 9*t + 5*f for t. -6 Solve 3*z = -3*z + 4*q + 14, 22 = -2*z - 4*q for z. -1 Solve 0 = f + 4*q + 17, -5*f + 27*q - 26*q = 1 for f. -1 Solve m - 4*a = 9, -55892*a + 22 - 4 = 5*m - 55885*a for m. 5 Solve -8 = 3*b + 2*w, 192*b - 5*w = 196*b + 27 for b. 2 Solve -2*n = 2*d - 324 + 332, -2*d - 10 = 3*n for d. -2 Solve -4*v - 16 = s, -2*s + 74 = v + 71 for v. -5 Solve -2*n = 6, g + 5 = 98*n - 101*n for g. 4 Solve -3*b + 56 = -5*z, -6*b = -9*z - 10*b + 12 for z. -4 Solve -4*p + 60*b - 65*b - 63 = 0, -2*p = 3*b + 37 for p. -2 Solve -2*q - 4*h - 2 = h, -q - 2*h - 3250 = -3249 for q. -1 Solve 2*r - 4*r - 4 = 3*x, 0 = 4*x - 2*r + 10 for x. -2 Solve 5 = -24*k + 29*k, -5*b - k + 6 - 15 = 0 for b. -2 Solve l = -5*b + 26, 52*l + 21 = 48*l + 5*b for l. 1 Solve 688 = 16*b - 5*r + 636, 5*b - 2 = -2*r for b. 2 Solve -5*a + 63 = -41*b, -540*b + 541*b = 5*a + 57 for a. -12 Solve -2 = 2*s - 5*a, -16052*s - a + 18 = -16048*s for s. 4 Solve 0 = -4*b + 20, -2*n = -4*b + 872 - 830 for n. -11 Solve 12 = -2*c + 2*k, 22*c - 53*k + 57*k + 2 = 0 for c. -1 Solve -4*p + 8 = 0, 12*p - 34 = 3*d + 21*p - 14*p for d. -8 Solve f - 4*i + 31 = 0, 4*f - i + 47 = 4*i for f. -3 Solve -20*w + 21*w - o = -11, -o - 13 = 3*w for w. -6 Solve z - 9100 = -5*m - 9108, 22*m + 31 = -3*z for m. -1 Solve -5*m = 5*d + 100, 0 = -2*m + 17*d - 21*d - 46 for m. -17 Solve -4*y + 295*g - 296*g - 4 = 0, -y - 4*g = 1 for y. -1 Solve 3*a - 3728 + 3738 = z, -a - 25 = 4*z for z. -5 Solve -9*y = 8*k - 7*y - 26, -2*y + 16 = 3*k for k. 2 Solve 123*p - 22 = -2*j + 67*p + 62*p, -2*p = 10 for j. -4 Solve -304*b + 301*b = -4*t + 20, -b + 17*t - 85 = 0 for b. 0 Solve 33*a + 20 = 29*a, 0 = -5*y - 5*a - 15 for y. 2 Solve -3*x + 3*r = -15, 1787*r = 2*x + 1789*r + 2 for x. 2 Solve 86*s - 83*s + 6 = 2*d, -4*d - 2 = s for d. 0 Solve -2*v - 4*h = -16, -1169*v + 1166*v + h + 3 = 0 for v. 2 Solve i - 10 = -3*d, 89 - 95 = -i - 2*d for i. -2 Solve 603*m = 5*q + 605*m - 9, -3 = q - 2*m for q. 1 Solve m = -14*u + 1, 50*m + 2*u = 48*m + 28 for m. 15 Solve -57 = -4*g - 5*h, -6*g - 4*h + 18 = -12*g for g. 3 Solve -25 = -2*u + 5*w + 27, -u = 3*w + 29 for u. 1 Solve 7*y + 2*f + 8 = 0, 5*y = 56*f - 55*f - 13 for y. -2 Solve m + 79*q = 74*q, m = 2*m + 3*q for m. 0 Solve 2*b + 11 = -3*f, f - 14*b - 2 = -9*b for f. -3 Solve -76*t - 15 = -h - 71*t, -5*h + 29 = -2*t for h. 5 Solve -d + 5 = 271*k - 267*k, -6*d + 5*k + 30 = 0 for d. 5 Solve -4*f - r - 5 = 0, 3*f + r + 106 = 102 for f. -1 Solve -15*l - 4*i = -13*l - 20, -5*i + 20 = 0 for l. 2 Solve -201*c + 199*c + 26 = 4*s, 3*c = -2*s + 19 for s. 5 Solve 26*o - 32*o = -v + 10, 5*o - 11 = -4*v for o. -1 Solve -55*w - 6 = -5*j - 63*w, -5*w = -4*j - 18 for j. -2 Solve l - 10 = z, 3*l + 324 - 343 = 2*z for l. -1 Solve p + 26 = 30, -3*q + 35 = -p for q. 13 Solve -f - 4*p + 146 = 132, -5*p + 25 = 5*f for f. 2 Solve 4*b + 1246 = -4*k + 1210, -2*b + 4*k - 12 = 0 for b. -8 Solve 5*z - 1395*v - 100 = -1393*v, 0 = -z + 3*v + 20 for z. 20 Solve 2*d + 38 = -n + 41, 9 = n - 4*d for n. 5 Solve -130185 = 5*t - 4*r - 130194, -6 = -2*t + r for t. 5 Solve 4*v = 20*x - 420, v + 428 = 3*x + 363 for x. 20 Solve 3*x - 3*c + 18 = 0, 3*x = -200*c + 196*c + 17 for x. -1 Solve -2*a = 2*q + a + 1, a = -q + 2 for q. 7 Solve -6*t + t + 6 = z, 0 = 4*t - z - 6 + 3 for t. 1 Solve 13*t = 4*o - 12*t + 23*t - 16, 0 = 4*o - 8*t - 4 for o. 5 Solve -106 = 5*y - 3*a, -4*a = -6*y - 72 - 66 for y. -5 Solve 0 = 4*i - 5*t - 27, 30 - 12 = 3*i - 3*t for i. 3 Solve -9*p = -q + 10, -5*p + 1041 = 5*q + 1091 for p. -2 Solve -2*v + 57 = -3*x + 51, v - 6*x - 3 = 0 for v. 3 Solve 0 = -5*r - 4*z + 21, 0 = -28*z + 33*z - 20 for r. 1 Solve 0 = 417*k + 413*k - 832*k - 4*q - 50, 5*k + 4*q = -47 for k. 1 Solve 0*n + 5*n + 3 = 2*d, 4*n + 4 = 0 for d. -1 Solve 5*r - 25 = 0, -4*i + 111834*r = 111831*r - 9 for i. 6 Solve 3*i + 15 = 0, 5*i + 1617 = 3*o + 1622 for o. -10 Solve -3*y + 3*s + 798 - 861 = 0, 17 = -y + 5*s for y. -22 Solve 0 = 5*h + 27*j - 23*j - 27, -6 = h - 3*j for h. 3 Solve 22 = 2*a + 5*r, -3*r + 267 - 243 = 3*a for a. 6 Solve -10 = 3*d - k, 296*d = 298*d - 5*k + 11 for d. -3 Solve -5*x = -16*k - 1, x + 47*k - 48*k = -2 for x. -3 Solve 3*d + 17 = -3*m - 4, 30 = -6*d + 3*d - 6*m for d. -4 Solve 245*u - 240*u + 3*t - 21 = 0, 9 = 5*u - 3*t for u. 3 Solve -5*c - 15 = 5*j, -700*j - 17 = -701*j + 4*c for j. 1 Solve -5*d = -6*i + 5, -5*i + 50 = -4*d + 45 for i. 5 Solve -9*s = 91*l - 96*l - 109, -4*s + 36 = 4*l for l. -2 Solve -l - 13 = 4*n, -75*l + 79*l + 16 = -4*n for n. -3 Solve 5*w + 300*d = 296*d + 5, 2*d - 43 = 11*w for w. -3 Solve -667 = 3*b - 2*h - 626, 3*b = -3*h - 66 for b. -17 Solve -4*f + 3 = -3*l, -563301*f = -563304*f for l. -1 Solve -b + l = 1, 13 = 9*b - 3*l + 16 for b. 0 Solve 5*p = -r - r, -3*p - r + 1 = 0 for p. 2 Solve 5*n + 8*l - 92 = 0, -l - 2 = -3*n + 1 for n. 4 Solve -5 + 20 = 5*y, -3*y = -2*c + 2*y - 3 for c. 6 Solve -l + 30*g + 33 = 25*g, 7 = -l - 3*g for l. 8 Solve -2*u - 8 = 2*y, -47*y + 60*u = -49*y - 182 for y. -1 Solve 4*a - 5*w = 10, -161*a + 4*w + 8 = -121*a for a. 0 Solve 3*w + 1025 - 1034 = -u, 0 = -2*u + 6 for w. 2 Solve -3*i - 4*q + 3 = 0, 3*q - 5*q = -3*i + 21 for i. 5 Solve -j - 11 = 4*r, -31*j - 3*r + 9 = -36*j for j. -3 Solve -3*j = -1312*g + 1308*g - 4, -4*j - 24 = 2*g for g. -4 Solve 0 = -5*m - 3*i - 2382 + 2363, m - 5 = -5*i for m. -5 Solve -11*w + 6*w = 4*x + 55, 0 = 4*x - 2*w + 6 for x. -5 Solve -101*p = -2*w - 97*p - 62, -6 = -p + 8 for w. -3 Solve v - 5*y = 27, 8*y + 84 = 5*v + 34 for v. 2 Solve -2*l = s + 2, -536*l + 533*l = -2*s - 39 for s. -12 Solve 138*q - 136*q = -44*m + 4, -2*m = -q + 2 for m. 0 Solve 0 = -5*u - 3790*z + 3793*z + 21, 63 = 12*u - 3*z for u. 6 Solve -5 = -3*z - 2*w, -28 = -4*z + 4*w - 8 for z. 3 Solve -47*p - 5*d = -46*p + 7, 0 = -3*p - 2*d + 5 for p. 3 Solve -4*r - 57 = 5*s, -5*s = 906*r - 905*r + 33 for s. -5 Solve 0 = 3*z + 2*x + 30, 21 + 17 = -4*z - 2*x for z. -8 Solve -2*i = 3*b + 82 - 79, 5 = -5*b - 4*i for b. -1 Solve 2*q = 4*x - 22, -725*q + 21 = 3*x - 728*q for x. 4 Solve -6*j + 442 = 436, 13*m = j + 51 for m. 4 Solve -8 = -v + 5532*n - 5529*n, 11*n = 3*v - 28 for v. 2 Solve -221*c + 8 = -4*p - 219*c, -2*p + 3*c - 16 = 0 for p. 1 Solve k - 2*s = 5, -5*k + 17 = 5*s + 52 for k. -3 Solve 20*d = 22*d + 59*f + 167, -5*d = -3*f - 34 for d. 5 Solve 5*s - 4 = 6*s - 2*s - 2*j, 3 = -3*j for s. 6 Solve 3*f - 77 = 4*f + 37*o, 0 = 2*f + 3*o - 0*o + 12 for f. -3 Solve l = -4*w - 44 + 54, -3*w = -l + 3 for w. 1 Solve -147*h = l - 156*h + 96, -h = 3*l - 20 for l. 3 Solve -5*b + 16*v - 12*v - 5 = 0, -3*b - 4*v - 35 = 0 for b. -5 Solve 121 - 158 = 3*b + 4*t, -5*b + 2*t = 1 for b. -3 Solve -8221*g = 3*d - 8224*g - 24, 3*g - 11 = -2*d for d. 7 Solve -4*l - 3*q + 155 = 159, 5*l - q = -5 for l. -1 Solve 2*f + 4*n + 6 = 0, -10*f + n + 41 = 8 for f. 3 Solve 74*u - 72*u = -5*g - 21, -5*u = 5*g + 15 for g. -5 Solve -42*q + 3*r - 40 = -37*q, 3*q = -4*r - 24 for q. -8 Solve -r - 2 = 0, -5*r = -4*x - r + 24 for x. 4 Solve -2*q = -5*b + 1, 0 = b + 3*q + 52 - 42 for b. -1 Solve 0 = 2*p - 4*f - 4, 97*p - 94*p = -2*f + 22 for p. 6 Solve -5*y - 3*v - 171 + 174 = 0, 0 = -5*v + 5 for y. 0 Solve 29*o - 28*o = 3*f + 13, -f - 10*o + 37 = 0 for f. -3 Solve -349 = -2*p - 18*l - 267, 5*l = -4*p + 9 for p. -4 Solve -2*v = 2*k + 4, 4*v - 3*k - 8*k = -53 for v. -5 Solve 15 = -2*k + 3*x + 5, -5*x + 15 = -5*k for k. 1 Solve -3*f = -f - 143*u + 72*u + 74*u + 2, -8 = 2*u for f. 5 Solve 2*x - 22 = -7*u + 2*u, -2*u = 4*x - 12 for x. 1 Solve -5*w + 72 = -8*m + 36, 0 = -6*m - 3*w for m. -2 Solve 2*r + 10 = -3*m, 0 = -845*r + 844*r - m - 3 for r. 1 Solve -46*w + 6*c - 8 = -41*w, 6 = -3*w + 4*c for w. 2 Solve h - 3516 = 4*s - 3512, 4*h = -4*s
{ "pile_set_name": "DM Mathematics" }
t 10? -540 Let d = -496.18 - -484. Let b = -2514 + 2515.32. Let f = d - b. What is f rounded to zero dps? -14 Let r = 70 - 450. Let s = r + 380.4. Round s to the nearest integer. 0 Suppose -367*f + 366*f - 6 = 0. Let c be 5290/8 - ((-189)/(-36) + f). What is c rounded to the nearest 10? 660 Suppose -9846 = 25*o - 23*o. Round o to the nearest one hundred. -4900 Let m be (-8 - (-1 - (3 + 2))) + 5. Suppose -m*o + 4*z + 5943984 = -5*o, -4*o - 4*z - 11887984 = 0. What is o rounded to the nearest one hundred thousand? -3000000 Suppose -13*l = 22*l - 28*l + 290115000. Round l to the nearest one hundred thousand. -41400000 Let g = 1107.506 + -1109. Let r = -0.061 + g. Round r to 2 decimal places. -1.56 Suppose 8*p + 4*z = -1027220, -50*z - 15 = -47*z. What is p rounded to the nearest 10000? -130000 Let u = 145 + 22. Let t = -167.00172 + u. Round t to 3 decimal places. -0.002 Let w = -17344.039 - -17351. Round w to 1 dp. 7 Let v = -27 + 27.408. Let o = v - 102.908. Let b = o + 112. Round b to 0 dps. 10 Suppose 2*f = -10, -2*g + 3*f - 7*f - 23016 = 0. Let z = 21078 + g. Suppose -z = -3*v + 5*k, 5*v - 8631 = 5*k + 7329. Round v to the nearest 1000. 3000 Let f be (-13 + (5 - 3656))*725/1. What is f rounded to the nearest 10000? -2660000 Let h = 190 + -113. Suppose 89*s - h*s + 103200000 = 0. What is s rounded to the nearest one million? -9000000 Let n = -1.373 + -0.314. Let s = -13551.72061 + 13553.4. Let z = n + s. What is z rounded to three decimal places? -0.008 Let c = 0.6091 - 0.0111. Let y = -0.59800433 + c. Round y to six dps. -0.000004 Let b = 8604.2 + -8604.269171. Let u = -199.140671 - b. Let j = u - -199. What is j rounded to 2 dps? -0.07 Let y(h) = 2*h**2 - 4*h + 21. Let v be y(8). Let s be -2620003 - ((-4)/(-6))/((-26)/v). Round s to the nearest 1000000. -3000000 Let h = -3184081934021.000001193 + 3184081931771. Let i = -2250 - h. What is i rounded to 7 decimal places? 0.0000012 Let m = -7517.737 + 7515. What is m rounded to the nearest 10? 0 Let i = -6.185 - -6.1850016605. Round i to 7 decimal places. 0.0000017 Let q = 1799526.5999996 - 1799527. Let p = 116.6 - 117. Let c = p - q. What is c rounded to 6 decimal places? 0 Let w = 237342211.2864 - 237715507.9774266. Let t = w - -373297. Let q = 0.309 - t. Round q to 5 decimal places. 0.00003 Let k = -120 + 92. Let l = k - -28.0000415. What is l rounded to 6 dps? 0.000042 Let g = -18 + 22. Suppose g*u - 1549 = 2827. Let i = u - 1724. What is i rounded to the nearest one hundred? -600 Let i = -76.9159 - -71.767. What is i rounded to 2 dps? -5.15 Let u(x) = -31931*x + 7136. Let n be u(56). Round n to the nearest 100000. -1800000 Let j = -16 + 16. Let q = j + -4.2. Let s = -4.2000072 - q. What is s rounded to 6 decimal places? -0.000007 Let t = -1759 + 1750.989. Let r = t + 7.9. Let q = -0.1110843 - r. What is q rounded to 5 decimal places? -0.00008 Suppose -2 = r - 5*w + 29, 4*w = 2*r + 32. Let u(a) = 6*a**2 + 10 - 26388*a**3 - a**2 + 2. Let f be u(r). What is f rounded to the nearest one million? 6000000 Let o = 962505.51544201 - 6.11677201. Let m = o - 962513. Let a = 13.6 + m. Round a to 4 decimal places. -0.0013 Let g = -45.1 + 45.434. Let k = g - 0.3339685. Round k to 6 decimal places. 0.000032 Let y = -67621.00000053261 - -67621. Round y to seven dps. -0.0000005 Let m = 0.655 + -1.06. Let u = 286.6 - 286.9653. Let w = m - u. Round w to 2 dps. -0.04 Let k = 108112 - 151812. What is k rounded to the nearest 10000? -40000 Let x = -8142.000004713 + 8142. Round x to 7 dps. -0.0000047 Let f = -14 + 8.7. Let m = f - 3.7. Let z = m - -0.7. What is z rounded to the nearest integer? -8 Let o = -8342.999993154 + 8343. Round o to six dps. 0.000007 Let l be 13394698/9 + 186/837. What is l rounded to the nearest ten thousand? 1490000 Let o = 2069.06 + -2042. Round o to the nearest 10. 30 Let w = 7.2 - -22.8. Let a = -64 - w. Let d = a + 94.0000099. What is d rounded to 6 dps? 0.00001 Suppose -3*n - 28*v + 42374995 = -33*v, -v - 28249999 = -2*n. What is n rounded to the nearest 1000000? 14000000 Let n = 196.3 + -72.3. Let h = n - 115.15. What is h rounded to the nearest ten? 10 Let d(k) = -5*k + 43. Let t be d(8). Suppose 2*m - n - 4*n = -61580005, 0 = -t*m - 5*n - 92369995. Round m to the nearest 1000000. -31000000 Let z = -132 - -1410. Let t = z - 1278.000833. What is t rounded to 4 decimal places? -0.0008 Let s = -8389 - -8381.001. Let g = s - -0.259. Round g to 1 decimal place. -7.7 Let x = 146 - 62. Let f = -48 + x. Let m = 36.28 - f. What is m rounded to one dp? 0.3 Suppose 4*l = -4*f - 10233608, -3*l = -5*f + 6*f + 7675202. Round l to the nearest 10000. -2560000 Let q = -14454.4682 - 0.5318. Let r = -14453.1019 - q. Let y = r + -1.9. Round y to three decimal places. -0.002 Let k = -279.00000744 + 279. Round k to six dps. -0.000007 Let l(b) = 1199999*b**2 + 10*b + 9*b - 8 - 12*b. Let m be l(3). Suppose 6*c + 14399998 = -4*h + 4*c, 4*c - m = 3*h. Round h to the nearest 1000000. -4000000 Suppose -4*r - 3636412 = 2236788. Round r to the nearest 100000. -1500000 Let y(d) = 7. Let r(i) = -1. Let o(x) = -6*r(x) - y(x). Let t(z) = z**2 + 29*z - 28. Let g(k) = 2*o(k) + t(k). Let p be g(21). Round p to the nearest 100. 1000 Let h = -967701650 - -1494271650. Round h to the nearest 1000000. 527000000 Let g = 818 + -825. Let c be 515*(14/g - -74). What is c rounded to the nearest one thousand? 37000 Suppose 0 = -5*n + 20, -4*w - 4*n + 45191155 = -51376221. Suppose -26*m - 35398160 = w. Round m to the nearest 1000000. -2000000 Suppose 219 = 4*j - 269. Suppose j + 46 = q. Suppose 2*p - q = -2*p. Round p to the nearest ten. 40 Let r = 39826.000017351 + -39826. What is r rounded to seven dps? 0.0000174 Let s be 4 - 99518769/(-36) - 6/(-8). Let k = s + -1515415. What is k rounded to the nearest 10000? 1250000 Suppose -3*f + 8321 = 4*s, 60*s - 55*s = -3*f + 8320. What is f rounded to the nearest 100? 2800 Let n = 0.0632 + 0.0978. Let q = 0.101 - n. What is q rounded to one dp? -0.1 Let i(m) = 10708*m - 9. Let y be i(-17). Let s = y - -311965. Let j = s + 57080. What is j rounded to the nearest 10000? 190000 Let z = 621.9 - 668.477. What is z rounded to the nearest 10? -50 Let w = -12 + 12.0179. Let j = w - -272.9821. Let s = -272.99781 + j. What is s rounded to 4 dps? 0.0022 Let a = -22.003 + 22. Let z = a - 0.215. What is z rounded to one decimal place? -0.2 Let u = 46 - 47.2. Let r = u - 54.8. Let g = r + 56.069. What is g rounded to two decimal places? 0.07 Let j(w) = 52324*w + 61. Let r be j(5). Let a = r + -177481. What is a rounded to the nearest ten thousand? 80000 Let k = 231.23964 - 230.99. Round k to 3 dps. 0.25 Suppose -6*c + 9057490 = -19*c. Let r = c + 4596730. What is r rounded to the nearest 1000000? 4000000 Let h = -48.705 + 48.6985697. What is h rounded to four dps? -0.0064 Let a = -37509 - -37506.0939. Round a to 2 dps. -2.91 Suppose -347*c + 11788136453 = 45462910007 + 32684812446. What is c rounded to the nearest 1000000? -191000000 Let o = 607.90014825 + -607.9. Round o to five dps. 0.00015 Let u = -140.5978 + 124.702. Round u to 1 decimal place. -15.9 Let n(c) = -426*c + 7*c**2 + 142 - 42 - 4*c**2 + 454*c. Let f be n(24). Round f to the nearest 1000. 3000 Let c = 303.25 - 335.8. What is c rounded to the nearest integer? -33 Let m = -38 + 46. Suppose -m = -4*v + 6*q - 2*q, 2*v - 10 = -q. Let d be v + -317 - (0 - 0). Round d to the nearest one hundred. -300 Let d = 47.14332 - 47.01. Round d to two dps. 0.13 Let x = -6.229 - -6.2. Let t = -0.097 - x. Let m = t - -0.018. What is m rounded to the nearest integer? 0 Let v = 2.632 - 2.631999576. Round v to seven dps. 0.0000004 Let x = 58566861.561193 + 184055452.438724. Let m = x - 242622475. Let u = 161 + m. Round u to 5 decimal places. -0.00008 Suppose 9 - 97 = -4*z. Let j be 7719 + (8/52 - z/(-26)). Round j to the nearest 1000. 8000 Let u(x) = -2*x - 30. Let p be u(-17). Let c be (-6 + 24)*2/p. Suppose -42000 = c*n - 10*n. Round n to the nearest one hundred thousand. 0 Let m be (-1905365)/(-63) - (-1)/9. Round m to the nearest 100. 30200 Let c = -0.661549 - -0.61717. What is c rounded to three dps? -0.044 Let k = -75.6647 - 0.1853. Let v = k + -1.15. Let l = -76.9943 - v. What is l rounded to 3 dps? 0.006 Let l(s) = -357*s - 10579. Let q be l(-
{ "pile_set_name": "DM Mathematics" }
M How many minutes are there between 5:00 PM and 7:12 PM? 132 How many minutes are there between 9:31 AM and 8:58 PM? 687 What is 414 minutes after 7:25 PM? 2:19 AM What is 457 minutes after 3:10 AM? 10:47 AM What is 405 minutes after 8:40 PM? 3:25 AM What is 127 minutes before 8:35 AM? 6:28 AM How many minutes are there between 10:15 AM and 2:54 PM? 279 How many minutes are there between 7:53 PM and 7:25 AM? 692 What is 67 minutes before 11:56 AM? 10:49 AM How many minutes are there between 9:45 PM and 3:08 AM? 323 What is 406 minutes before 12:34 PM? 5:48 AM What is 149 minutes after 5:35 PM? 8:04 PM How many minutes are there between 11:35 PM and 3:47 AM? 252 What is 505 minutes before 9:11 PM? 12:46 PM What is 315 minutes before 12:41 PM? 7:26 AM How many minutes are there between 11:43 PM and 10:07 AM? 624 What is 560 minutes before 5:07 AM? 7:47 PM How many minutes are there between 5:30 AM and 5:14 PM? 704 What is 300 minutes before 1:29 PM? 8:29 AM What is 459 minutes after 4:04 PM? 11:43 PM How many minutes are there between 11:51 AM and 10:52 PM? 661 What is 581 minutes after 5:50 AM? 3:31 PM What is 195 minutes after 7:40 PM? 10:55 PM How many minutes are there between 12:32 PM and 3:59 PM? 207 How many minutes are there between 2:41 PM and 2:55 PM? 14 What is 252 minutes after 8:37 PM? 12:49 AM How many minutes are there between 8:21 PM and 10:22 PM? 121 What is 715 minutes after 1:48 AM? 1:43 PM How many minutes are there between 12:48 PM and 9:47 PM? 539 What is 156 minutes after 3:23 PM? 5:59 PM What is 35 minutes after 1:19 AM? 1:54 AM What is 404 minutes after 4:24 AM? 11:08 AM What is 462 minutes after 6:43 PM? 2:25 AM How many minutes are there between 3:56 AM and 3:43 PM? 707 What is 557 minutes before 1:16 PM? 3:59 AM How many minutes are there between 7:51 AM and 10:25 AM? 154 How many minutes are there between 1:05 PM and 5:54 PM? 289 How many minutes are there between 10:31 PM and 5:41 AM? 430 How many minutes are there between 8:06 PM and 2:48 AM? 402 How many minutes are there between 2:55 PM and 6:51 PM? 236 How many minutes are there between 6:32 PM and 9:10 PM? 158 How many minutes are there between 11:43 AM and 10:13 PM? 630 What is 704 minutes after 9:17 PM? 9:01 AM How many minutes are there between 1:40 PM and 5:53 PM? 253 How many minutes are there between 4:54 PM and 4:16 AM? 682 How many minutes are there between 2:20 AM and 9:44 AM? 444 What is 710 minutes after 3:21 PM? 3:11 AM What is 546 minutes before 4:02 PM? 6:56 AM How many minutes are there between 2:01 PM and 11:10 PM? 549 How many minutes are there between 10:27 AM and 7:25 PM? 538 What is 647 minutes before 6:25 AM? 7:38 PM What is 485 minutes after 3:12 PM? 11:17 PM How many minutes are there between 2:54 PM and 7:47 PM? 293 How many minutes are there between 12:43 PM and 2:51 PM? 128 What is 371 minutes before 12:12 AM? 6:01 PM How many minutes are there between 4:52 AM and 2:01 PM? 549 What is 318 minutes before 2:21 AM? 9:03 PM How many minutes are there between 5:32 PM and 9:01 PM? 209 What is 156 minutes after 5:12 PM? 7:48 PM What is 277 minutes after 7:38 AM? 12:15 PM How many minutes are there between 1:17 AM and 12:49 PM? 692 What is 388 minutes before 7:49 PM? 1:21 PM What is 618 minutes before 10:04 AM? 11:46 PM What is 618 minutes after 10:07 PM? 8:25 AM How many minutes are there between 10:26 AM and 9:47 PM? 681 How many minutes are there between 6:12 PM and 5:57 AM? 705 What is 107 minutes after 1:47 PM? 3:34 PM How many minutes are there between 2:34 AM and 12:29 PM? 595 How many minutes are there between 12:23 AM and 9:11 AM? 528 What is 173 minutes after 12:56 AM? 3:49 AM What is 432 minutes before 10:12 PM? 3:00 PM How many minutes are there between 9:48 PM and 9:19 AM? 691 What is 91 minutes after 2:26 AM? 3:57 AM What is 628 minutes after 7:46 AM? 6:14 PM What is 660 minutes after 7:16 PM? 6:16 AM How many minutes are there between 1:20 AM and 5:30 AM? 250 How many minutes are there between 1:44 AM and 1:31 PM? 707 What is 49 minutes after 10:47 PM? 11:36 PM How many minutes are there between 11:40 AM and 8:14 PM? 514 How many minutes are there between 7:19 PM and 12:11 AM? 292 How many minutes are there between 9:37 PM and 10:12 PM? 35 How many minutes are there between 2:20 AM and 12:50 PM? 630 How many minutes are there between 9:21 AM and 11:45 AM? 144 What is 661 minutes before 1:17 PM? 2:16 AM What is 344 minutes before 6:37 AM? 12:53 AM What is 136 minutes after 10:57 PM? 1:13 AM How many minutes are there between 7:54 AM and 2:01 PM? 367 What is 244 minutes after 1:11 AM? 5:15 AM How many minutes are there between 3:11 PM and 5:06 PM? 115 What is 612 minutes before 11:32 AM? 1:20 AM How many minutes are there between 5:43 AM and 11:36 AM? 353 What is 636 minutes before 6:14 PM? 7:38 AM How many minutes are there between 1:05 AM and 7:16 AM? 371 What is 317 minutes after 12:06 PM? 5:23 PM How many minutes are there between 9:48 PM and 8:06 AM? 618 What is 625 minutes before 10:02 PM? 11:37 AM How many minutes are there between 6:26 AM and 7:56 AM? 90 What is 482 minutes after 9:12 AM? 5:14 PM What is 274 minutes after 7:32 AM? 12:06 PM How many minutes are there between 8:09 PM and 12:09 AM? 240 How many minutes are there between 3:08 AM and 8:52 AM? 344 What is 564 minutes before 6:15 AM? 8:51 PM What is 260 minutes before 5:33 AM? 1:13 AM How many minutes are there between 10:32 PM and 10:12 AM? 700 How many minutes are there between 8:17 PM and 2:17 AM? 360 How many minutes are there between 1:00 PM and 7:06 PM? 366 How many minutes are there between 5:30 PM and 5:29 AM? 719 What is 295 minutes after 4:19 PM? 9:14 PM How many minutes are there between 12:41 PM and 6:47 PM? 366 What is 405 minutes before 5:14 AM? 10:29 PM How many minutes are there between 3:03 PM and 3:55 PM? 52 What is 692 minutes after 5:55 AM? 5:27 PM How many minutes are there between 3:28 AM and 6:00 AM? 152 How many minutes are there between 1:41 AM and 9:54 AM? 493 How many minutes are there between 6:48 AM and 10:58 AM? 250 How many minutes are there between 2:31 PM and 9:16 PM? 405 What is 240 minutes after 10:22 AM? 2:22 PM What is 223 minutes after 12:07 AM? 3:50 AM What is 152 minutes before 2:10 AM? 11:38 PM What is 71 minutes before 8:54 AM? 7:43 AM How many minutes are there between 8:36 PM and 5:20 AM? 524 How many minutes are there between 9:14 AM and 4:26 PM? 432 What is 410 minutes after 12:06 AM? 6:56 AM What is 295 minutes after 11:40 AM? 4:35 PM How many minutes are there between 5:40 PM and 12:38 AM? 418 What is 101 minutes before 11:12 AM? 9:31 AM What is 144 minutes before 3:06 PM? 12:42 PM How many minutes are there between 7:02 AM and 4:32 PM? 570 How many minutes are there between 1:41 AM and 8:21 AM? 400 How many minutes are there between 2:02 AM and 6:15 AM? 253 How many minutes are there between 1:07 AM and 2:49 AM? 102 What is 204 minutes before 3:39 PM? 12:15 PM How many minutes are there between 6:51 AM and 6:20 PM? 689 What is 296 minutes after 3:04 PM? 8:00 PM How many minutes are there between 12:12 AM and 9:02 AM? 530 How many minutes are there between 10:34 PM and 3:23 AM? 289 What is 655 minutes after 4:54 AM? 3:49 PM How many minutes are there between 4:59 AM and 10:23 AM? 324 How many minutes are there between 1:00 AM and 1:14 AM? 14 How many minutes are there between 11:47 PM and 1:09 AM? 82 What is 344 minutes before 9:26 PM? 3:42 PM What is 410 minutes after 12:36 PM? 7:26 PM How many minutes are there between 1:41 AM and 2:37 AM? 56 How many minutes are there between 2:07 AM and 4:36 AM? 149 What is 322 minutes after 7:48 PM? 1:10 AM How many minutes are there between 10:49 AM and 9:54 PM? 665 What is 677 minutes before 7:54 PM? 8:37 AM How many minutes are there between 1:39 AM and 10:56 AM? 557 How many minutes are there between 3:34 AM and 2:49 PM? 675 How many minutes are there between 3:23 PM and 6:40 PM? 197 What is 592 minutes before 1:33 PM? 3:41 AM How many minutes are there between 3:23 PM and 11:46 PM? 503 What is 324 minutes after 3:53 AM? 9:17 AM How many minutes are there between 5:29 AM and 12:57 PM? 448 What is 644 minutes after 12:09 AM? 10:53 AM How many minutes are there between
{ "pile_set_name": "DM Mathematics" }
nder when g is divided by (10/(-15))/(1/f) + 17. 18 Suppose 592 = 25*y - 29*y. What is the remainder when y/(-20) - 6/(-10) is divided by 7? 1 Let y(z) = -z - 1. Let v(f) = 22*f. Let g(u) = -2*v(u) + 2*y(u). Suppose i - 4 = 0, i + 4 - 6 = -n. Calculate the remainder when g(n) is divided by 23. 21 Let r(v) = -v**2 - 43*v - 137. Calculate the remainder when r(-29) is divided by 8. 5 Suppose 2*x - 91 = 5*n, -4*x = x - 4*n - 253. Calculate the remainder when x is divided by 18. 17 Let u = 120 - 108. Suppose 2*q - 36 - 12 = -2*p, 5*p = -4*q + 119. Calculate the remainder when p is divided by u. 11 Let z(m) = -2*m + 1. Let f = 0 - -3. Suppose 0 = 3*h + y - 17, f*y = 4 - 7. What is the remainder when z(-5) is divided by h? 5 Suppose 2*n + 0*n = 8. Calculate the remainder when 27 is divided by (-3)/(n - 9/2). 3 Suppose 0 = 20*l - 18*l - 322. What is the remainder when l is divided by 42? 35 What is the remainder when 3 + -5 + 24 + -1 is divided by (-32 + 35)*-4*(-2)/3? 5 Let i = -39 + 30. Let c(g) = g**2 + g - 6. Calculate the remainder when c(i) is divided by 23. 20 Let v(c) = -111*c**2 + 1. Let o be v(-1). Suppose 2*z + n + 3*n = 372, -n - 780 = -4*z. Let f = o + z. Calculate the remainder when f is divided by 29. 26 Let v = 209 + -186. What is the remainder when v is divided by 9? 5 Let x be 19/5 + 32/(-40). Suppose 2*y = -y + 141. What is the remainder when y is divided by 13 + x + 1 + -1? 15 Let y = 73 + -66. Calculate the remainder when 209 is divided by y. 6 Suppose -8*k + 388 = -36. Calculate the remainder when 102 is divided by k. 49 Suppose 3*q = q + 34. Suppose -42*n - 17 + 66 = -41*n. What is the remainder when n is divided by q? 15 Suppose 0 = -43*j + 47*j - 220. Calculate the remainder when j is divided by 23. 9 Let g be 0/(-5)*(-2)/4. Suppose -3*b = -4*r + 269, 0 = -2*r - g*b - 4*b + 140. Calculate the remainder when r is divided by (4/12)/((-2)/(-138)). 22 Let t(w) = -92*w - 287. Calculate the remainder when 176 is divided by t(-4). 14 Let b(f) = -311*f + 48. What is the remainder when b(-1) is divided by 19? 17 Let b(i) = -i**2 - 10*i + 27. Suppose 0 = -4*j + s + 35, 3*s + 25 = -2*j + 6*j. What is the remainder when j is divided by b(-12)? 1 Suppose -4*d + 6*d = -5*o - 23, 4*d = -o - 1. What is the remainder when 5*d*(-186)/(-6) is divided by 40? 35 Suppose -c - 2*b + 82 = 0, 0 = -4*c + b + 27 + 256. Suppose 3*v = 6*v - 75. What is the remainder when c is divided by v? 22 Let j(p) = p + 4. Suppose -5*k + 3 = 3*b, -5*k + 3*b + 17 = -10. What is the remainder when j(12) is divided by (-2 - (k + -14)) + -3? 4 Suppose 54*f = 49*f + 270. What is the remainder when 203 is divided by f? 41 Let x(y) = -13*y + 242. Calculate the remainder when x(11) is divided by 27. 18 Let b(w) = 28*w**2 + 2*w. Calculate the remainder when b(3) is divided by 130. 128 Let c(o) = 21*o + 47. Calculate the remainder when 38 is divided by c(-2). 3 Let z = -22 - -44. Suppose 5 = 5*y, -y - z - 5 = -2*h. Let d = -365 - -434. What is the remainder when d is divided by h? 13 Suppose -32 = -12*i + 4*i. What is the remainder when 10 is divided by i? 2 Let b(u) = u**3 - 9*u**2 - 5. Calculate the remainder when b(10) is divided by 25. 20 Let v(w) = -w - 2. Let k be v(-4). Let t(z) = -2 + 29 - k - z - 15. Calculate the remainder when 10 is divided by t(7). 1 Suppose -74 = -2*g - 5*f - 23, 4*g + 3*f - 123 = 0. What is the remainder when 195 is divided by g? 30 Suppose -u - 56 = -2*i, i - 2*i + 4*u = -42. Let d = 41 - i. Suppose -n = 4*g - 296, n - 150 = -0*g - 2*g. Calculate the remainder when g is divided by d. 13 Let q(h) = 22 + h - 14 + 4*h**2 - 10. Calculate the remainder when (-368)/(-6) - (-4)/(-12) is divided by q(2). 13 Suppose -f = 3*v, 3*f + 5 = v - 5. Let x be ((-2)/v - -9)/1. Suppose -3*z - 24 = -x*z. Calculate the remainder when 17 is divided by z. 5 Suppose 0*w + j = 2*w - 4, -16 = -3*w + 4*j. Suppose -2*z + 22 = -w*z. Calculate the remainder when 21 is divided by z. 10 Let s(w) = -5*w - 2 + 2 + 3*w**2 - 2. Suppose -8 = -2*x, -2*x = -5*f - x - 24. What is the remainder when s(f) is divided by 18? 12 Let t(y) = -21*y + 11. Let c be t(-5). Let x = -88 + c. What is the remainder when x is divided by 16? 12 Suppose 2*d - 17 = 2*x - 61, -88 = -4*x - 3*d. Calculate the remainder when 87 is divided by x. 21 What is the remainder when 218/(-109) + (61 - (0 - 0)) is divided by 38? 21 Let q = -294 + 311. Suppose 2*k - 5*t = -3*k + 60, 38 = 3*k - 5*t. What is the remainder when q is divided by k? 6 Suppose 2*i = 5*x + 69, -4*x - 95 = -3*i + 26. Calculate the remainder when 326 is divided by i. 44 Let m(u) = -u**3 - 5*u**2 - 2*u + 12. Let t be m(-5). Suppose 5*c + t + 3 = 5*a, 2*a = -3*c. Calculate the remainder when 7 is divided by a. 1 Let o(c) be the first derivative of 3*c**2/2 - 2*c - 5. Calculate the remainder when 38 is divided by o(5). 12 Let y(j) = j**3 + 5*j**2 + j - 3. Let p be (10/4 - 3)*6. Let u be y(p). Let a = u - 10. Calculate the remainder when 8 is divided by a. 0 Let p(r) = 2*r + 22. Suppose -3*s + 2 = 14, 5*s = -4*d - 52. Calculate the remainder when 29 is divided by p(d). 5 Let s(n) = 4*n + 4. Let i = -1 - -1. Suppose i*b + 28 = 4*b. What is the remainder when s(b) is divided by 11? 10 Suppose 0 = -4*r + 3 + 5, 5*a - 452 = -r. Calculate the remainder when a is divided by 7. 6 Suppose 0 = -3*n - 98 - 13. Let f = n + 48. Calculate the remainder when f is divided by 7. 4 Let t = 105 - 68. Calculate the remainder when t is divided by 10. 7 Let q(g) = 48*g + 10. Let m = -100 + 102. What is the remainder when q(m) is divided by 28? 22 Suppose -b - 11 = -2*b. Suppose -4*j - 387 = -13*j. Calculate the remainder when j is divided by b. 10 Suppose 4*h - 4*w - 58 = 2*h, -2*h + 5*w = -56. Let n = h + -11. Let c = 77 + -12. What is the remainder when c is divided by n? 21 Let t(r) = 63*r**2 + 4*r - 3. Suppose -3*n + i = 2, -2*n + i = 3 - 0. Suppose 5*s = -0*s + 110. What is the remainder when t(n) is divided by s? 20 Suppose 5*p = 150 - 40. Let a(z) = -z - 6. Let o be a(-10). Suppose -o*i + 4*x = -3*i - 63, -5*i + 315 = 4*x. What is the remainder when i is divided by p? 19 Suppose 5*w - 293 = s - 4, -5 = -5*s. Calculate the remainder when 85 is divided by w. 27 Suppose -2*z - 75 = -3*k - 5*z, 0 = 4*k - z - 95. Let h(b) = -4*b + 4*b**2 + 2*b**2 + b. What is the remainder when h(3) is divided by k? 21 Suppose -2*x = 5*q - 290, 0*q = 5*q + 10. What is the remainder when x is divided by 4? 2 Let a = 991 - 410. What is the remainder when a is divided by 45? 41 Let n(j) = -2*j**2 + 10*j + 55. What is the remainder when 325 is divided by n(8)? 3 Let l(u) = 6*u**2 - 22*u - 72. Calculate the remainder when l(-3) is divided by (1/(-2))/((-2)/68). 14 Suppose 0*s - 2*s + 26 = 0. Let m = -7 + s. Let u(y) = -y**3 + 4*y**2 + 6*y + 11. What is the remainder when u(5) is divided by m? 4 Calculate the remainder when 52 is divided by 117/6 - 15/10. 16 Suppose 32*y + 1770 = 150*y. Let o be (2 - (3 + -2))*-8. Calculate the remainder when y is divided by (-2)/4*0 - o. 7 Let v = 58 + -5. Calculate the remainder when v is divided by 38. 15 Suppose 7*q - 252 = -5*b + 3*q, -2*q = 4. Calculate the remainder when 188 is divided by b. 32 Suppose -211*x = -214*x + 57. Let g(u) = u**3 + u**2 - u + 75. Calculate the remainder when g(0) is divided by x. 18 Suppose d - 5 = -5*f + 236, 3*f + 2*d - 146 = 0. What is the remainder when f is divided by 21? 6 Suppose 3*f - 7 = -2*b, 3*b - 2*f + 9 = -13. Let z(x) = -x**3 - 4*x**2 - 6*x - 3. What is the remainder when z(b) is divided by 7? 0 Let a = -151 + 274. Suppose -3*p + a = 3*v, -3*p = -5*v - 0*p + 237. Calculate the remainder when 134 is divided by v. 44 What is the remainder when 35 is divided by -1 - -6*20/6? 16 Suppose -n + 6*n = 395. Suppose -4*o = -89 - n. Calculate the remainder when o is divided by 11. 9 What is the remainder when -2*(-3)/(-3) + (799 - 7) is divided by 18? 16 Let k be (-172)/(-14) + 8/(-28). Let h be ((-33)/6)/((-2)/(-4)). Let x = h + k. Calculate the remainder when x is divided by 1. 0 Suppose -a - 4 = 2*v + a, 0 = 5*a + 20. Suppose -4*x + v*x = -82. Let h = x + -26. Calculate the remainder when 58 is divided by h. 13 Suppose -14*l + 4446 = 24*l. What is the remainder when l is divided by 31? 24 Let a(p) = 13*p**3 - 3*p
{ "pile_set_name": "DM Mathematics" }
- 17, -2*i + 2 = 2*t for i. 4 Solve 0 = 5*z - 9 - 16, -3*a = -z - 7 for a. 4 Solve 5*t - 7*t = -4*c + 10, 0 = 5*c + t - 9 for c. 2 Solve 0 = -5*d - 4*w - 36, 6*w - 4 = -3*d + 10*w for d. -4 Solve -2*o - 3 = -36*z + 41*z, 20 = -4*o + 4*z for o. -4 Solve 3*b - 23 = -5*h, -2*h + 7*b + 10 = 9*b for h. 4 Solve -n + 2*t - 4 = 0, 5*n + 52*t + 7 = 49*t for n. -2 Solve -4*a + r = -3*r - 4, 2*r = -3*a + 18 for a. 4 Solve -3*k + 5*a = -5, -4*k + 2*a - 40 = 7*a for k. -5 Solve 2*c - 17 = 4*o + 9, 3*o = 2*c - 21 for c. 3 Solve 4*m - 3*q - 7 = -8*q, 2*q = 4*m + 14 for m. -2 Solve -4*x - 3*p - 10 = 0, -5*x - 12 = -p + 5*p for x. -4 Solve 1 = 2*y - 4*k + 3*k, -3*k = -3*y + 6 for y. -1 Solve -t = 3*s - 13, -3*t = -1 - 2 for s. 4 Solve -5*l - 3*w - 3 = 0, -3*w - w - 4 = -4*l for l. 0 Solve 8*x - 4*x = 2*g + 4, -5*x - 4*g + 18 = 0 for x. 2 Solve 0 = -0*s + 2*s - 4, -h - s - 2 = 0 for h. -4 Solve 0 = -3*o + s + 4 - 26, s = -4*o - 20 for o. -6 Solve -5*g + 7 = 4*u - 9, 0 = 5*g - 5*u + 20 for g. 0 Solve 3*c - 1 = 5*g - 26, 2*c + 2*g + 6 = 0 for c. -5 Solve 42*d = -a + 46*d + 22, -3*a - 9 = 3*d for a. 2 Solve y + 5*t + 10 = -6, -3*y - 3*t = 0 for y. 4 Solve -5*q = f + 20, 6*q = q + 5*f - 20 for q. -4 Solve -6 = -4*l + 2*w + 6, -4*l + 4*w + 20 = 0 for l. 1 Solve 0 = 2*y - 5*n + 21, 0*y - 3*y - 18 = -3*n for y. -3 Solve 7*s + 4*p + 11 = p, 3*s + p + 5 = 0 for s. -2 Solve 7*u + 5*f = 3*u - 41, -3*f = u + 19 for u. -4 Solve 4*u + 3*x = -21, 4*x = -4*u - 3 - 21 for u. -3 Solve 1 = -r - 0*r - 4*o, -3*o = 0 for r. -1 Solve -5*u + 14*l = 15*l - 24, 0 = 4*u + l - 20 for u. 4 Solve -5 = -f + 4*k - 3, 3*f + 7 = -k for f. -2 Solve -3*m + 9 = -21*h + 17*h, -4*h - 5*m - 17 = 0 for h. -3 Solve 3 = -3*o - 2*i, 6*o - 5*o + 1 = -i for o. -1 Solve 5*z = -2*y - 14, -11 = -y + 4*z - 5 for y. -2 Solve -o - 5*i - 3 = 0, -5*i + 4*i + 7 = 4*o for o. 2 Solve -5 = -5*u - 3*n, -40*u + n = -42*u + 2 for u. 1 Solve 0 = 27*p - 28*p + 2, -4*u = -4*p + 8 for u. 0 Solve -v + 2 = -2*l - 3, 0 = v + 2*l - 5 for v. 5 Solve -3*c = -3*k - 0*k - 18, 2*c = -k for k. -4 Solve 5*c - 1 = -h, -5*c - 2*h = -7*h - 25 for c. 1 Solve 6*l - 7*l - 2 = -5*d, 4*d - l = 2 for d. 0 Solve 0 = 3*g - 2*v + 15, -3*g + 0*g + v - 15 = 0 for g. -5 Solve -f + 2 = -z, 5*f = 6*f - 3*z - 12 for f. -3 Solve w = 5*h + 9 + 21, 2*h - 5*w + 12 = 0 for h. -6 Solve 4*x + 12 = -2*y, -3*y + 3*x + 20 - 11 = 0 for y. 0 Solve -58*q + 56*q - 7 = -z, -3*q + z - 10 = 0 for q. -3 Solve -2*j = h - 1, j - 13 - 5 = 3*h for j. 3 Solve -5*o + 4*i = 10 - 4, 0 = o - 2*i for o. -2 Solve -5*s + l = 5, -61*l = s - 66*l - 23 for s. -2 Solve 3*q + 0*q - 17 = -2*u, 0 = -3*q + 4*u + 11 for q. 5 Solve 127*j - 123*j + 4*z = 0, 2*z - 1 = -3*j for j. 1 Solve 49*k + 4*z = 48*k + 7, -k + 3*z = 0 for k. 3 Solve -4*q = -6*h + 7*h + 5, 2*h - 5*q - 3 = 0 for h. -1 Solve -14*n = -15*n + 4*g + 13, 17 = 2*n - 5*g for n. 1 Solve -3*q = -4*d - 11, -6*d + d - 5*q - 5 = 0 for d. -2 Solve 2*t - 11*o + 13*o - 12 = 0, 0 = -3*t + 5*o - 22 for t. 1 Solve -3*h = -0*h - 15, -5*s + 3*h = 20 for s. -1 Solve 4*f - 4 = 2*b - 0*b, -4*b - 3 = -3*f for f. 1 Solve z = 2*j + 36 - 30, 2*z + 4*j = -20 for z. -2 Solve 2*f - 10 = -j + 4*f, j + 2*f + 10 = 0 for j. 0 Solve 0 = -5*y - 5*s - 50, 6*y - 11*y - 40 = 3*s for y. -5 Solve -4*j - 3*q + 3 = -j, -2*q = -2*j - 6 for j. -1 Solve -2*y = 2*c - y + 3, -4*y = -4*c - 12 for c. -2 Solve -62*f + 63*f = -3*c, 0 = 5*c for f. 0 Solve -5*s - h + 5 = -4*s, 4*h + 5 = s for s. 5 Solve 3*m - 16 - 5 = 3*a, -3*a - m + 3 = 0 for a. -1 Solve 3*d = -4*s + 5, -7*s + 8 = -5*s - 4*d for s. 2 Solve 3*d + z = -7, 0*d + 3*z = 4*d + 5 for d. -2 Solve 5 = -2*p + 4*u - 3, p - u = -2 for p. 0 Solve -l + 4*b + 15 = 0, 5*b + 3 = -2*l - 6 for l. 3 Solve 11 = -5*v - z - 2, -5*v + 2*z = 19 for v. -3 Solve -2*c - 3*l - 3 = 0, -5*c + 9*l - 5*l = 19 for c. -3 Solve -3*x = -4*t - 4, -4*x - 2*t + 24 = 4 for x. 4 Solve 932*k - 929*k - 4*d - 12 = 0, 5*k = 2*d + 6 for k. 0 Solve -6*d + 11*d + 10 = -2*c, 0 = -4*c + 2*d + 4 for c. 0 Solve -2*q + 2*a - 14 = 0, 9*q - a = 7*q - 12 for q. -5 Solve 2*i = 4*n - 2*i, 5*n + 5*i = 10 for n. 1 Solve 0 = -g + k - 1, 7*g + 5*k = 5*g - 9 for g. -2 Solve -5*p + 1 = 2*g, 5*p + 1 = -4*g - 2 for p. 1 Solve -2*k - 16 = i - 5*i, -5*k + 3*i - 19 = 0 for k. -2 Solve -19 = -3*p + 2*w, -3*p + 24 = -0*p - 3*w for p. 3 Solve -2*z + z + 4*y = -6, 2*y - 6 = 5*z for z. -2 Solve 1 = -4*q - 5*b - 0, 4*q - 5*b + 31 = 0 for q. -4 Solve -25 = 5*g, 3*s + g - 10 = -6 for s. 3 Solve 5*q - 4*j = -11 - 19, 2*j = -9*q - 8 for q. -2 Solve o + 3*o = 5*n + 18, 6 = -o - 4*n for o. 2 Solve -w - 5*h + 17 = 0, 4*w - 9*w + 5 = 5*h for w. -3 Solve -5*w + 7*l = 8*l - 18, 5*w - 2*l - 24 = 0 for w. 4 Solve 0 = -5*v - 7*m + 2*m + 5, 5*v - 2*m = -23 for v. -3 Solve -5*n + 4 - 11 = 3*w, n + w = -1 for n. -2 Solve 5*t + 4*s + 11 = -7, -3*s - 6 = 0 for t. -2 Solve 0 = -v + 2*p - 7, 3*v = -13*p + 18*p - 19 for v. -3 Solve -4*b + 67 - 39 = -4*v, -5*b + 15 = -v for b. 2 Solve -18 = 2*l + 5*d, 5*l + 24 = l - 4*d for l. -4 Solve -2*v + 15 = 5*x - 8, -5*x = -5*v - 30 for x. 5 Solve u = 5*c + 21, -5 + 21 = -4*c for u. 1 Solve 2*b = m - 9, -28 = 4*b + m - 7 for b. -5 Solve -v = y - 4, -9*y + 5 = -14*y for v. 5 Solve 4*x + 10 = 2, x = 3*m + 1 for m. -1 Solve x + 1 = 6*m - 7*m, 2*m = 8 for x. -5 Solve 3*t + 2*c - 16 = 0, 2*t - 351 + 342 = -c for t. 2 Solve 4*b + 4*n = 0, b - 11*n - 5 = -17*n for b. -1 Solve u + 24 = v + 22, 0 = -4*u + v + 1 for u. 1 Solve -5*v = -5*m - 10, -3*m = v + 3 - 13 for m. 2 Solve 0*w + o = 4*w - 26, -3*o + 7 = 5*w for w. 5 Solve -2*h + 10 = b, -h - 14 = -2*b - 3*h for b. 4 Solve -5*k = -4*s - 53 + 8, -4*s = 20 for k. 5 Solve 3*b = -5*h - 35, h - 5*b - 9 = -3*h for h. -4 Solve 4*c = 8*c + j + 19, 2*c - j = -11 for c. -5 Solve 8 = 2*r - 3*l, 0 = 5*r + 2*l + 1 + 17 for r. -2 Solve -4*k = 23*u - 22*u + 13, 3*k + 21 = -3*u for k. -2 Solve -3*p - 12 = -7*p + 3*w, -5*p - w - 4 = 0 for p. 0 Solve -2*a = -2*q + 1 + 3, 5*q = 4*a + 10 for q. 2 Solve 5*b - 5*i - 30 = 0, -3*b + 4 = -5*i - 20 for b. 3 Solve -s = -4*b + 226 - 247, 20 = -5*b for s. 5 Solve 3*h + 2*l - 3 = 0, 5*h - 2*l - 5 = -6*l for h. 1 Solve -4*g + 14 = 4*w - 5*w, 4*w + 8 = 4*g for g. 4 Solve -3*n = -6*n - 3*t - 18, t = -1 for n. -5 Solve 1644*u - 1645*u - 3 = 0, -10 = -n + 2*u for n. 4 Solve -5*t = 4*a + 21, 4*a + 17 = 98*t - 99*t for a. -4 Solve -2*s = -4*s - 3*m - 2, 3 = -s - 2*m for s. 5 Solve 0*n - 5*v - 25 = n, -2*v - 8 = 0 for n. -5 Solve -12*b = 2*s - 7*b - 14, -b = -5*s + 8 for s. 2 Solve 12 = 4*z - 3*z - 3*t, 0 = 4*z + 3*t - 3 for z. 3 Solve -3*x + 9 = -3*g + 3, 5*g + 25 = 0 for x. -3 Solve -6 = -4*b - 2*n + 20, 0 = 3*n - 15 for b. 4 Solve -4*y + 0*t - t = 12, -4*y = -4*t - 8 for y. -2 Solve 3*o = -2*c - 18 - 1, 4*c = 4*o + 12 for o. -5 Solve 3*j - 6 = 59*r - 56*r, -8 = 2*r for j. -2 Solve 5*u + 32*a = 27*a - 20, -2 = -u + 5*a for u. -3 Solve 0 = 4*g - b - 4, 5*g - 2*b + 2 = 2*g for g. 2 Solve 3*r - 6*r = -15, 0 = -3*o - r - 10 for o. -5 Solve i - n - 1 = 0, -5*i - n + 25 = 8 for i. 3 Solve 4*u - 20 = 4*o, -3*o + 0*u + 2*u = 15 for o. -5 Solve 0 = -3*w - 5*h + h + 26, -5*h = -5*w - 15 for w. 2 Solve 3*o = -7*u + 4*u + 3, -3*u - 1 = 4*o for o. -4 Solve 5*s = 4*t - 7, -2*s = -5*s - t - 11 for s. -3 Solve -15*f - 3*y = -19*f - 11, -f - 14 = 3*y for f. -5 Solve -6 = -5*c + 4*a + 7, 4*c - 32 = -4*a for c. 5 Solve 3*j + 9 = 3*c, 4*j + 17 = 3*c - j for c. -1 Solve 7*i = 3*r + 4*i + 3, 0 = 3*r + 4*i + 10 for r. -2 Solve q = 4*o + 3 - 20, 3*q + 4*o - 13 = 0 for q. -1 Solve -9*i = -4*v - 32, -i - 4*v = -8*v for i. 4 Solve 5 = -14*g + 12*g - l, 5*l + 9 = -2*g for g. -2 Solve 0 = -0*g + g + i - 5, 2*g - 4*i + 8 = 0 for g. 2 Solve 8 = 2*w + 5*k, 3*k - 29 = 3*w + 1 for w. -6 Solve 3*u = 3*c - 15 - 6, 5*c = 15 for u. -4 Solve 4*n - 10 = 2*y, -11*y - 3 = -4*n - 16*y for n. 2 Solve 88*h = 87*h - 2*i - 2, 32 = 2*h - 5*i for h. 6 Solve -3*l - 3 = 0, -7*l + 5 = -3*s - 12*l for s. 0 Solve 3*v - p - 15 = 0, -2*v + 3*v = p + 7 for v. 4 Solve 4*s + 32 = -4*n, 3*s + 4*n + 24 + 4 = 0 for s. -4 Solve 78*r - 5*v - 8 = 76*r, -4*v = 8 for r. -1 Solve -t + 102*v = 104*v + 8, -4*t - 5*v = 20 for t. 0 Solve -4*m + 0 = 2*s - 2, -4*m - 10 = -2*s for s. 3 Solve 0 = 2*f + 5*n - 21, -4*f - 2*n = -6*n for f. 3 Solve -m + 4*h + 6 = -1, -3*m + 5*h = -
{ "pile_set_name": "DM Mathematics" }
Suppose 4*m = 3*m + 3. Let h(y) be the first derivative of -2 + 1/2*y**4 - 1/3*y**m + 0*y + 0*y**2. Find the third derivative of h(i) wrt i. 12 Find the second derivative of -406*h - h**4 + 7*h**4 + 416*h wrt h. 72*h**2 Let k = 0 + -1. Let t be k/2 + 14/4. What is the first derivative of -s**4 + 4*s**3 + 5*s**4 + 3 - 4*s**t wrt s? 16*s**3 Suppose 4*j + 10 = 9*j. Let t(v) be the first derivative of -1 - 1/3*v**3 + v + 0*v**j. Differentiate t(k) wrt k. -2*k Let b = 7 - 3. Let h be b + -2*(-1 - 0). Find the second derivative of -r - 4*r + h*r - r**5 wrt r. -20*r**3 Suppose -8 = y + 4*y + 4*o, -2*y + o = -2. What is the third derivative of y*h**2 - 2*h**2 - 3*h**5 + 2*h**5 wrt h? -60*h**2 Find the second derivative of -21*x**2 + 18*x + 45*x**2 - 16*x**2 wrt x. 16 Let r(w) be the second derivative of 5*w**4/4 + w**3 + 13*w. Find the second derivative of r(z) wrt z. 30 Let v = 10 - 8. Find the first derivative of -x**3 + 15*x**v - 15*x**2 - 4 wrt x. -3*x**2 Let f be 1*4*(0 - -4). Suppose f = 4*j + 2*l, -2*l - 5 + 3 = -5*j. What is the first derivative of 2*q - j + q - 2*q wrt q? 1 Let m(v) = -v**3 + 4*v**2 + 6*v - 6. Let c be m(5). Let i(f) = f. Let r(n) = 4*n + 3. Let w(g) = c*r(g) + 2*i(g). Differentiate w(h) with respect to h. -2 Let q(s) = -3*s**5 + 3*s**3 + 13*s**2 - 3*s. Let z(v) = -9*v**5 + 8*v**3 + 38*v**2 - 8*v. Let w(l) = 8*q(l) - 3*z(l). Find the third derivative of w(a) wrt a. 180*a**2 Let h(r) be the third derivative of r**4/8 + 2*r**3/3 - 3*r**2. Find the first derivative of h(j) wrt j. 3 Let r(b) be the second derivative of -b**5/20 + 8*b**2 - 6*b. Differentiate r(v) with respect to v. -3*v**2 Let m(d) be the third derivative of -d**7/105 + d**6/360 - 7*d**3/6 - 6*d**2. Let o(t) be the first derivative of m(t). Find the third derivative of o(h) wrt h. -48 Let z = -3 - -5. What is the derivative of -2 + 3*l + z*l**4 + l - 4*l wrt l? 8*l**3 Let k(v) = -11*v + 7. Let w(z) be the third derivative of -z**4/2 + 7*z**3/6 - 2*z**2. Let j(p) = -4*k(p) + 3*w(p). What is the derivative of j(l) wrt l? 8 Let i = -3 + 5. Find the second derivative of i*f + 6*f - 2*f - 4*f + 2*f**4 wrt f. 24*f**2 Let f(n) = n**3. Suppose 0 = -2*t + 3*g + 10, 3*t - 3*g - 7 = -2*t. Let s(c) = 4*c**3 + 3. Let y(q) = t*f(q) - s(q). What is the first derivative of y(r) wrt r? -15*r**2 What is the second derivative of 22*x + 9*x - 19*x**5 - 19*x wrt x? -380*x**3 Let o(q) = 6*q**2 - 12*q + 6. Let v(x) = -x. Let i(k) = o(k) - 12*v(k). What is the first derivative of i(d) wrt d? 12*d Let s(u) = -u**2. Let z = 7 + -8. Let g(j) = -4*j**3 + 2*j**2 + 2*j. Let a(p) = z*g(p) - 2*s(p). What is the second derivative of a(w) wrt w? 24*w Let h be (-7)/(-5) + (-2)/5. Differentiate -4 - 4*t + 0 - h with respect to t. -4 Suppose -2*z + 4 + 0 = 0. Find the first derivative of 2*v**2 + 7 - z*v**2 - 3*v**2 - 3 wrt v. -6*v Find the second derivative of -2*m**2 + 9*m - 3*m**2 - 5*m**2 wrt m. -20 Suppose 3*n + 0*n = 12. Find the first derivative of 0 - 4 + p**4 + 4*p**n + 3 wrt p. 20*p**3 Let l(c) be the first derivative of -c**5/30 - c**4/12 - c**2 - 5. Let u(g) be the second derivative of l(g). Find the second derivative of u(r) wrt r. -4 Let x(q) = -q**2 + 9*q + 4. Let u be x(9). Find the first derivative of 2*v**4 - v**u - v**4 + 1 + 2*v**4 wrt v. 8*v**3 Suppose z - 4*z + 6 = 0. Let j(y) = -y**3 - 6*y**2 - y - 3. Let b be j(-6). What is the third derivative of 3 - 2*p**b - 3 + 2*p**z wrt p? -12 Let f(v) be the third derivative of -1/8*v**4 - 3*v**2 + 1/30*v**5 + 0 + 0*v + 0*v**3. What is the second derivative of f(q) wrt q? 4 Let p(m) = -m + 4. Let y be p(2). Let u(g) = g**3 + 9*g**2 + 9*g + 11. Let v be u(-8). What is the third derivative of -7 + v*o**3 + 7 + 2*o**y wrt o? 18 Let d(x) = -6*x + 1. Let o be d(-1). Differentiate -4 - o*m**2 + 3*m**2 - 1 wrt m. -8*m Let b be (6/9)/(4/18). Find the third derivative of -3*z**2 + 5*z**3 + 2*z**2 + z**b wrt z. 36 Let f(u) be the third derivative of u**7/70 + 5*u**3/3 + 3*u**2. Differentiate f(c) wrt c. 12*c**3 Let z = 34 + -29. Let x(y) be the second derivative of 0 + 1/12*y**4 + 2*y + 0*y**2 + 0*y**3 - 1/20*y**z. What is the third derivative of x(c) wrt c? -6 Let q(g) be the third derivative of -1/3*g**3 + 0*g**4 + 0*g**5 + 1/210*g**7 + g**2 + 0*g**6 + 0 + 0*g. What is the derivative of q(w) wrt w? 4*w**3 Suppose -2*s = 4*y - 26, 0*y + s = 3*y - 12. What is the third derivative of -11*j**2 - 5*j**5 + 3*j**y + 9*j**2 wrt j? -120*j**2 Let w(v) = -27*v**3 - 7. Let z(r) = 80*r**3 + 20. Let j(o) = 17*w(o) + 6*z(o). What is the first derivative of j(n) wrt n? 63*n**2 What is the second derivative of -4*c**5 - 14*c**5 + 3*c**5 - 5*c**5 - 23*c wrt c? -400*c**3 Let r(k) be the first derivative of 2*k**6/3 - 15*k**2/2 + 9. Find the second derivative of r(f) wrt f. 80*f**3 Let i = 4 - 2. Suppose -2*u = -10, 4*g - 2*u = -g. Find the second derivative of 2*t**g - 3*t + 0*t**i - t**2 wrt t. 2 Let t(o) be the first derivative of 28*o**5/5 - 40*o - 3. Differentiate t(g) with respect to g. 112*g**3 Let i(h) = -h + 1. Let u be i(-2). Find the third derivative of 0*x**2 - 4*x**2 - 2*x**2 - 2*x**u wrt x. -12 Suppose 0 = -2*p - p + 15. What is the third derivative of 0*u**4 + p*u**4 - 5*u**4 + 5*u**5 + 3*u**2 wrt u? 300*u**2 Suppose 3*d = 5*d - 2*q - 4, -2*q = -6. Let k be ((-30)/25)/(1/(-5)). Find the third derivative of 3*o**5 - 3*o**d - 3*o**2 - 5*o**6 + 3*o**k wrt o. -240*o**3 Let g(n) = -10*n**5 - 6*n**4 + 15*n. Let t(m) = -m**4 + m. Let v(q) = g(q) - 6*t(q). What is the second derivative of v(x) wrt x? -200*x**3 Let g be 7/(-3 + 3 - -1). Suppose -k - 1 = -g. Find the third derivative of 4*q**k - 4*q**2 - 13*q**5 + 13*q**5 wrt q. 480*q**3 What is the second derivative of -18*l**3 + 13*l**3 + l - 7*l wrt l? -30*l Suppose 3*m - 4*j + 2*j - 7 = 0, 0 = -2*m - 3*j + 22. What is the derivative of -4*s**2 - m*s - 4 + 5*s + 3 wrt s? -8*s Let y = 3 + 1. Find the third derivative of -y*f**2 + 7*f**5 - 4*f**6 - 7*f**5 wrt f. -480*f**3 Let p = 2 + 1. Let v = 6 - p. Differentiate -3 - x**v + 0*x**3 + 2 wrt x. -3*x**2 Let a = -6 + 7. What is the derivative of 3*f**4 - a + 5*f**4 - 3*f**4 - 4 wrt f? 20*f**3 Let h(z) be the third derivative of -z**6/24 + z**5/6 - 22*z**2. Find the third derivative of h(q) wrt q. -30 Let y(k) = k**3 + 4*k**2 - 4*k - 5. Let w be (3 - -1)*(-1 + 0). Let i(h) = -h**2 + h + 1. Let o(v) = w*i(v) - y(v). What is the derivative of o(b) wrt b? -3*b**2 What is the derivative of 26 - 56 + 21 + 19*b wrt b? 19 Let h(j) be the first derivative of 3/2*j**2 + 0*j - 2 - j**3. What is the second derivative of h(l) wrt l? -6 Let z(r) = 38*r**5 - 7*r**4 + 51*r**2 + 7. Let w(s) = 19*s**5 - 4*s**4 + 26*s**2 + 4. Let d(c) = -7*w(c) + 4*z(c). Find the third derivative of d(k) wrt k. 1140*k**2 Suppose 0*k + 2*u = 4*k - 10, -k - 5*u = -8. Find the third derivative of 0*p**2 + p**3 + 8*p + k*p**2 - 8*p wrt p. 6 Suppose 0 = -u + 2*u - 2. Let n be ((-3)/3)/((-1)/u). Differentiate -2 + n*i**3 - i + i with respect to i. 6*i**2 Let j(r) = 5*r + 9. Let y(l) = -9*l - 17. Suppose 4*w + 13 + 23 = 4*g, -9 = 5*w + 4*g. Let c(v) = w*j(v) - 3*y(v). Differentiate c(s) wrt s. 2 What is the third derivative of -143*p**4 - 42*p**2 + 70*p**4 + 74*p**4 wrt p? 24*p What is the second derivative of -2 - 11*q**5 + 7 + 8*q - 5 wrt q? -220*q**3 Let z(l) be the first derivative of -3*l**5/20 + l**2 + l + 3. Let p(x) be the first derivative of z(x). Differentiate p(g) with respect to g. -9*g**2 Let h(w) = 6*w**2 - 5*w - 2. Let k(v) = v**2 + v - 1. Let u(d) = -h(d) + 2*k(d). What is the second derivative of u(p) wrt p? -8 Let g(v) = 16*v**2 - v - 1. Let m be g(-1). Suppose 2*y + m = -4*k, 15 = -6*k + 3*k. Find the second derivative of 3*o**4 - y*o**4 + o + o wrt o. 12*o**2 What is the derivative of -11 - 4*v**3 + 1 - 8*v**3 + 3*v**3 wrt v? -27*v**2 Suppose -2*v + 17 + 2 = -5*u, -7 = -5*v - u. Find the third derivative of 10*t**3 - 10*t**3 + 3*t**v - 3*t**6 wrt t. -360*t**3 Suppose 0 = 3*g - 0*g - 6. Let a(r) be the first derivative of -2 + 3*r + 0 - 2*r - r**g. What is the derivative of a(v) wrt v? -2 Suppose 6 + 6 = 4*o. Let c(k) be the third derivative of 1/6*k**3 + 0*k - o*k**2 + 0*k**4 - 1/30*k**5 + 0. Differentiate c(l) with respect to l. -4*l Let m(i) be the first derivative of -25*i**4
{ "pile_set_name": "DM Mathematics" }
e prime factors of s? 2, 3 Let c = -73 + 76. Suppose 5*n + 54 = -0*n + 3*w, 0 = -5*n + 4*w - 52. List the prime factors of (c/(-4))/(1/n). 3 Let o(h) = h**3 + 12*h**2 - 14*h + 6. Let x be o(-13). Let r = 34 - x. List the prime factors of r. 3, 5 Let q = -63 + 15. Let w = -28 - q. What are the prime factors of w? 2, 5 Let t(h) = h**3 - 10*h**2 + 9*h + 4. Let n be t(9). Suppose -x + 18 = 2*u, -n*x + 7*x + 2*u - 46 = 0. List the prime factors of (24/x)/(5/35). 2, 3 Let q = 9 + 8. List the prime factors of q. 17 Suppose 6*p = 2*p + 8. List the prime factors of (-9 + p)/(0 + -1). 7 Let q = -22 - -15. Let n(x) = -x**3 - 9*x**2 + 3*x - 10. Let c(z) = 3*z**3 + 28*z**2 - 10*z + 31. Let r(s) = -2*c(s) - 7*n(s). List the prime factors of r(q). 3, 5 Suppose -10 = -5*m - 0*m. Suppose m*y = 5*y + 2*j - 25, 2*j = -2*y + 14. List the prime factors of y. 11 What are the prime factors of (-2)/((-1)/(-8)*28/(-189))? 2, 3 What are the prime factors of -2 + 4 - 54/((-6)/3)? 29 Suppose q + q - 100 = 0. Suppose 3*n - 8*n + q = 0. List the prime factors of n. 2, 5 Suppose 6*z - 584 = 2*z. List the prime factors of z. 2, 73 Let b(a) = 5*a**3 - 3*a + 2. List the prime factors of b(2). 2, 3 Let y(s) = -s + 1. Let v be y(-8). Suppose 5*p = -10 + 25, -3*b = -3*p + v. Suppose -5*u + 25 + 30 = b. List the prime factors of u. 11 Suppose 12*h + 20 = 7*h. Let l(y) = 2 + y**2 + y - 10*y - 2*y**2. List the prime factors of l(h). 2, 11 Let n be (-2 - -38)*(-4)/(-6). Let b = -13 + n. What are the prime factors of b? 11 Let c(j) = 3*j**2 + 3 - 4*j**2 - 3*j + 3*j**2 + 3*j**3. List the prime factors of c(2). 29 Let c be 2/(2 + (-4)/3). Suppose 17 + c = 3*d - 4*g, -5*g = -d - 8. Suppose d = 3*q - 27. List the prime factors of q. 13 Suppose 0 = 3*n - s - 43, -1 = n + 3*s - 32. List the prime factors of n. 2 Suppose 19 = 3*j + u + 57, -j - 5*u - 22 = 0. What are the prime factors of j*((-18)/8 - -2)? 3 What are the prime factors of (8/(-12))/(2 + 5600/(-2796))? 233 Suppose -3*s - 4 = 3*f + 2*f, 3*f = 3*s - 36. Suppose 3*t + s = 37. What are the prime factors of t? 2, 5 Let g(z) = z. Let d be g(1). Let m = -1 - d. What are the prime factors of (4/5)/(m/(-5))? 2 List the prime factors of (357/12 - -3)/((-3)/(-24)). 2, 131 Let v be 49 + -4 - -3*1. List the prime factors of v/(-10)*(-20)/6. 2 Let c be (-2)/(-6)*(12 - 12). Suppose -61 = -3*f - u - 4*u, -5*u - 5 = c. List the prime factors of f. 2, 11 Let m(a) = -a**2 + 2*a - 2. Let i be m(2). What are the prime factors of 268/10 - i/10? 3 Suppose -3*j + 2 = -2*t, t - 5*j = 5*t + 4. Let f(b) = b**2 - 14*b - 4. Let h be f(15). Let g = h - t. What are the prime factors of g? 2, 3 What are the prime factors of ((-16)/40)/((-1)/455)? 2, 7, 13 Suppose -x - 29 = -2*x. What are the prime factors of x? 29 Let d = 9 - 7. Let m = 3 - -6. Suppose d = t - m. What are the prime factors of t? 11 List the prime factors of 3 - 0 - 214/((-3)/3). 7, 31 Suppose 4*n = 3*i + 1, 3*n + 0*n = i - 8. Let d = 0 - i. What are the prime factors of d? 7 Suppose 3*z - 5*k - 22 = 0, 2*k - 44 = -2*z - 2*k. Suppose -6 = -4*t + z. Let o(g) = g**3 - 4*g**2 - 6. List the prime factors of o(t). 19 Let t(l) = 8*l**2 + 3*l + 2. Let v be t(-2). Suppose -7 + v = -2*m + 5*j, -5*j + 27 = m. Suppose -m*n + 7*n = 50. List the prime factors of n. 2, 5 Suppose 0 = 3*p - 2*p - z - 12, 2*p + 2*z = 8. Let o(i) be the third derivative of -i**5/60 + i**4/3 + 5*i**3/6 + i**2. List the prime factors of o(p). 5 Let d be (-3)/2 + (-81)/(-6). Suppose 2*l - l - 10 = -k, -3*l + d = k. What are the prime factors of k? 3 Let j be (-6)/(-9) - (-4)/3. Suppose j*s + 0 = -8. Let m = 0 - s. What are the prime factors of m? 2 Suppose 0 = -p - 4*p + 125. List the prime factors of (-5)/p - 262/(-10). 2, 13 Let a be (-4 + 4)/(1/(-1)). Suppose a*y = 3*y - 18. List the prime factors of y. 2, 3 Let k(b) be the third derivative of -13*b**4/24 - b**3/2 - 2*b**2. What are the prime factors of k(-2)? 23 Suppose -r - 2*k + 35 = 0, 4*r - 4*k + 51 = 239. List the prime factors of r. 43 Suppose k - 2*o = 11, k + 2*o + 1 = -4. Suppose -j + 5 = k. List the prime factors of j. 2 Let x be 2/7 + (-19)/(-7). Let v = 6 + -1. Suppose -v*k + 50 = 2*q, -3*k - x*q + 2*q + 30 = 0. What are the prime factors of k? 2, 5 Suppose 32 = -2*s - 2*s. Let d = s - -21. List the prime factors of d. 13 Let b = -19 + 40. Suppose -4*v = -4*a - 48, 3*v - b = v - a. What are the prime factors of v? 11 Let l be 2/(0 - 2) - -5. Let r be 4/2 - (l - 2). Suppose -z + r*z + 16 = 0. What are the prime factors of z? 2 Let d(y) = -2*y**2 + 3*y - 3. Let n be d(2). What are the prime factors of (-2)/n + (-624)/(-40)? 2 Let r be 5/30 - 1/6. Suppose 2*a = -4*m + 22, 1 = -r*a - a. List the prime factors of 56/m*(-12)/(-8). 2, 7 Let z = -1 + 6. Suppose -2*r = 3*n - 8*n + 40, -3*n + z = -5*r. What are the prime factors of n? 2, 5 Suppose 3*n - 16 = -4. Suppose n*l - 3*l = 41. What are the prime factors of l? 41 Let x(l) = -2*l + 2. Let d be x(1). Suppose d = 3*m + 4*y - 115, 5*m + 4*y - 100 = 81. List the prime factors of m. 3, 11 Suppose 3*h + 5*f = 2*h - 7, 0 = -4*h + f + 14. Suppose h*r - 8*r + 115 = 0. Suppose -r - 9 = -4*j. What are the prime factors of j? 2 List the prime factors of 8/(-6) + ((-10880)/(-12))/5. 2, 3, 5 Let m(x) = 8*x - 1. What are the prime factors of m(2)? 3, 5 Suppose 196 = 2*z + 14. List the prime factors of z. 7, 13 Suppose 2*x + 15 = 3*g - 9, 4*g - 36 = 4*x. Let h(f) = -2*f + 2. Let t be h(g). Let k = 0 - t. What are the prime factors of k? 2, 5 Let f(a) = 2*a**2 - 2*a - 3. Let t be f(-3). Let h = -3 + t. List the prime factors of h. 2, 3 Let r(g) = -g**3 - g**2 + 2*g. Let w be (-1)/(-3) - (-58)/6. Suppose 4*z = -z - a - w, 8 = -z + a. What are the prime factors of r(z)? 2, 3 What are the prime factors of ((-15)/30)/((-2)/524)? 131 Suppose 2*q = 216 - 78. What are the prime factors of q? 3, 23 Let n(a) = 4 - 1 - 2 + 2 + a. Let m be n(4). Suppose m = 2*f - 9. List the prime factors of f. 2 Let g = 4 + -3. List the prime factors of -3*(g - 2)*3. 3 Suppose -r - 4*h = -87, 4*h = h - 9. Let a be 5/7 - (-2)/7. List the prime factors of r/36 + a/4. 3 Let p be 4/(-8) + 94/4. Suppose 0*k - p = -k. Suppose 3*j = -4*r - 0*j + k, -5*r + 26 = j. What are the prime factors of r? 5 Let z be (-2 - 1)*(-10)/6. Let w = z + -2. Suppose -2*f = w*v - 28, 4*f - 34 = -4*v + 3*f. List the prime factors of v. 2 Suppose -3*k + 15 = 0, 3*n + 0*n = -4*k + 302. Suppose -20 = -3*a + n. What are the prime factors of a? 2, 19 Let b be -1 + (-3)/(3/(-11)). Let k(c) = -c + 6. Let a be k(b). What are the prime factors of (a + 5)/((-1)/(-5))? 5 Let v = -3 - -12. List the prime factors of v. 3 Let s be ((-24)/30)/(2/(-10)). Suppose -41 = -3*y + y + a, a = s*y - 79. What are the prime factors of y? 19 Let z(v) = v**2 - 2*v - 5. Let u be z(4). What are the prime factors of 6/u + 0 + 0? 2 Suppose 0*a - 2*a + 154 = 0. Suppose 9*c = 4*c + g + a, -2*g - 79 = -5*c. What are the prime factors of c? 3, 5 Let c(w) = 2*w + 3. Suppose 0 = -3*m + 5*t - 12, -m + 3*t = 5 - 1. Let k be c(m). Let a(i) = -i + 4. What are the prime factors of a(k)? 3 Let q(n) = n**2 - 1. Let g(r) = -2*r**2 - 2*r + 4. Let o(a) = g(a) + 5*q(a). List the prime factors of o(-1). 2 Suppose 0 = -w + 4*w + 18. Let r(g) = 2*g - 4. Let d be r(w). Let k = d - -25. List the prime factors of k. 3 Let i(o) = o**2 + 1 - 2*o**2 - 8*o + 3. Let t be i(-8). Suppose -s + 23 = 3*a - 2*s, t*a - 4 = -4*s. List the prime factors of a. 2, 3 Let h(d) = -5*d - 1. Let c be h(-1). Let t be (-1)/c + (-2)/(-8). List the prime factors of (9/(-6) - t)*-4. 2, 3 Let h be (-1)/(2/54*-1). Suppose -10 = -3*y - s, 2*y - 12 = s + 3. Suppose 2*a - h + y = 0. What are the prime factors of a? 11 Let t = 22 - 14. What are the prime factors of 4/(-16) + 202/t? 5 List the prime factors of -6 - -46 - (0 - -2). 2, 19 Suppose 55 + 33 = r. What are the prime factors of r? 2, 11 Suppose -4*z - 4 = -0*z. List the prime factors of (z - 2)*-1 + 39. 2, 3, 7 Let y be (-7)/(-2) + 2/(-4). Let d(w) = 2*w**3 + 2*w + 3*w**2 + 1 - 6*w**3 + 3*w**3. List the prime factors of d(y). 7 Suppose -3 = 4*l - 7. Let j(k) = 3*k**3 + k**2 - 1. List the prime factors of j(l). 3 Let h be (6/5)/(2/15). Suppose 0 = -5*s + 21 + h. List the prime factors of s. 2, 3 Suppose -3*s - 1
{ "pile_set_name": "DM Mathematics" }
True Is 85114 a composite number? True Is 20174593 prime? True Is 4958693 composite? False Is 63638977 composite? True Is 59563027 a prime number? True Is 3036893 prime? False Is 36584701 a composite number? True Is 7040477 prime? True Is 4813027 a prime number? True Is 538429 a prime number? False Is 450427 a prime number? False Is 333007919 a composite number? True Is 3902933 prime? False Is 73884695 a composite number? True Is 427640221 prime? False Is 1158743 composite? False Is 16678811 prime? True Is 460267 a composite number? False Is 28853611 composite? False Is 43127731 a composite number? False Is 2282141 a prime number? True Is 1045246 prime? False Is 27513247 composite? True Is 16358169 composite? True Is 96379711 a composite number? False Is 26214413 a prime number? True Is 10832597 a prime number? False Is 7093621 composite? False Is 11005711 a prime number? False Is 65874527 composite? True Is 745231 a composite number? False Is 421249 a composite number? True Is 8331317 a prime number? True Is 112535609 composite? False Is 571717 a composite number? False Is 4745441 prime? True Is 3698987 a composite number? True Is 56971667 prime? False Is 14567537 a composite number? False Is 82054727 composite? False Is 290627 a prime number? True Is 666907 a composite number? True Is 1501541 a prime number? True Is 6874793 composite? True Is 3181791 a composite number? True Is 767357051 a composite number? True Is 1144150409 composite? True Is 5046051 a composite number? True Is 66592187 prime? True Is 1046533 composite? True Is 950293 prime? False Is 213851 prime? False Is 20409539 a prime number? True Is 102426911 prime? True Is 299135393 composite? False Is 63639967 a prime number? False Is 3904111 a composite number? False Is 254335429 a prime number? False Is 709228631 composite? False Is 3021511 a prime number? False Is 92834299 a prime number? True Is 3366067 a composite number? False Is 68069062 prime? False Is 2915611 prime? True Is 68003119 prime? False Is 18303199 a composite number? False Is 38776999 prime? False Is 2474737 prime? True Is 2675411 prime? False Is 24711119 prime? True Is 12248959 a composite number? True Is 8482333 prime? True Is 63323237 composite? False Is 20962609 prime? False Is 464543665 prime? False Is 246456683 a composite number? True Is 48861077 prime? False Is 134413 prime? False Is 7527853 composite? False Is 26341853 composite? False Is 319635907 a prime number? True Is 30449911 a prime number? True Is 535061 a composite number? False Is 8974931 a composite number? True Is 205189 composite? True Is 8784533 a composite number? False Is 54354821 prime? False Is 52329569 a composite number? True Is 89665549 a prime number? True Is 244690619 prime? True Is 30745499 a composite number? False Is 16909051 composite? False Is 4172429 composite? True Is 523156259 a prime number? False Is 24827785 a composite number? True Is 676231 composite? True Is 2643299 prime? False Is 57974911 a composite number? False Is 27243817 a composite number? False Is 32650147 prime? False Is 37858853 prime? True Is 3611243 a prime number? True Is 3333739 a prime number? True Is 79724683 a prime number? False Is 6208013 a composite number? True Is 182851313 composite? True Is 3893795 a composite number? True Is 525029 a prime number? True Is 30600803 prime? True Is 3052177 prime? True Is 5703127 composite? False Is 4884137 composite? False Is 5446549 composite? True Is 9034621 a prime number? True Is 1123349 prime? True Is 1440233 composite? False Is 26421877 a prime number? True Is 17981377 composite? True Is 107837 a composite number? False Is 536965001 a prime number? False Is 49066279 a prime number? True Is 2892983 a composite number? False Is 4492787 composite? True Is 2589463 a prime number? False Is 21062869 a composite number? False Is 27144613 a composite number? False Is 18330109 a prime number? False Is 7236001 prime? True Is 359286871 a composite number? False Is 1318181927 prime? True Is 67703861 composite? True Is 25405987 a prime number? True Is 348267 prime? False Is 9443647 a composite number? True Is 39479789 a prime number? False Is 460339 prime? False Is 3277457 a composite number? False Is 81194731 composite? True Is 1122125126 composite? True Is 7471277 a composite number? True Is 9928661 a prime number? True Is 209168123 composite? True Is 207809161 composite? True Is 64199203 composite? False Is 4805239 composite? True Is 600564319 a composite number? False Is 64534859 prime? False Is 5405111 a prime number? True Is 11117383 composite? False Is 18100891 prime? False Is 140322499 composite? True Is 3358643 a composite number? True Is 29176339 a composite number? True Is 15300523 a prime number? False Is 65772247 a composite number? False Is 24446707 a composite number? True Is 10781321 a prime number? True Is 3041111 a composite number? False Is 90348873 a prime number? False Is 340428397 composite? False Is 9143203 a composite number? False Is 33417653 composite? False Is 1688002 prime? False Is 169201623 prime? False Is 236058499 prime? False Is 745783 prime? False Is 822517 a prime number? True Is 9825149 a composite number? False Is 1103797 prime? True Is 9624607 a prime number? False Is 892378 prime? False Is 25247111 composite? False Is 182797 a prime number? False Is 998441 composite? True Is 44535979 a composite number? True Is 11814857 prime? True Is 1161221 prime? False Is 614156669 a prime number? False Is 787313 composite? True Is 79746631 a composite number? False Is 4998359 prime? True Is 20420821 a composite number? False Is 3247107 prime? False Is 11467619 a composite number? True Is 59461163 a prime number? False Is 55396577 composite? False Is 13858059 prime? False Is 229654 a prime number? False Is 3265555 a prime number? False Is 2507003 prime? True Is 135427099 a prime number? True Is 310885823 composite? True Is 97793921 a composite number? False Is 798871 prime? True Is 218227769 prime? True Is 68470394 a prime number? False Is 1085658163 prime? True Is 26151883 prime? False Is 345859055 composite? True Is 15360161 a composite number? False Is 1280095 a composite number? True Is 23132561 composite? False Is 613097 a composite number? False Is 3763453 a prime number? True Is 14532937 composite? False Is 35157221 composite? True Is 202976687 a prime number? True Is 1324926823 composite? True Is 90469799 prime? False Is 4824349 composite? True Is 66571 a composite number? False Is 10960671 a prime number? False Is 88463 composite? False Is 7014533 a prime number? True Is 2268659 a prime number? True Is 212025067 prime? True Is 62929903 composite? True Is 13039683 composite? True Is 4208026 composite? True Is 961681 composite? True Is 53680607 a prime number? True Is 1294883 a prime number? False Is 6582269 composite? True Is 59573233 composite? False Is 215355467 a prime number? False Is 244926137 prime? False Is 10888643 composite? False Is 18830921 composite? True Is 160868209 prime? True Is 1511867 a prime number? False Is 17315063 a composite number? False Is 21846131 a prime number? True Is 4681321 prime? True Is 83919013 a prime number? False Is 18886489 a prime number? True Is 1102037 a composite number? True Is 11531203 a prime number? True Is 1256581 prime? False Is 905371 a composite number? True Is 46187639 prime? True Is 29473751 prime? True Is 1419791 a prime number? True Is 36982903 composite? True Is 805456519 a composite number? True Is 358969499 a composite number? True Is 1207337 a composite number? True Is 85687537 a prime number? False Is 3993499 a composite number? True Is 63406627 a prime number? True Is 19298611 a prime number? True Is 386489617 prime? False Is 943591 a prime number? False Is 1144697 prime? False Is 5197663 a prime number? True Is 85820513 a prime number? False Is 8289539 a composite number? False Is 1196593 composite? False Is 2449961 a prime number? False Is 83506037 a prime number? True Is 292133 prime? True Is 27029423 a composite number? False Is 9846779 prime? True Is 4319089 composite? False Is 276851 a composite number? True Is 46199 a prime number? True Is 2235199 composite? False Is 157492681 composite? False Is 25731859 composite? F
{ "pile_set_name": "DM Mathematics" }
at is the nearest to 9/17 in 20, -5, 1, -2.9? 1 What is the closest to -3/5 in -4, 632, 0.1549, 3, 0? 0 What is the nearest to -4 in 4, 2/147, 0.5, 2/7639? 2/7639 What is the closest to 0.1 in 1/6, 6/7, 0.037, -6/19, -1/2? 0.037 Which is the closest to -1/2? (a) 1/4 (b) -28 (c) -2/11 (d) -5.1 (e) -12 c Which is the closest to 1.2? (a) -7 (b) 213 (c) 1/7 (d) 1/4 (e) -23 d Which is the closest to 0.128? (a) 6 (b) 0.09 (c) -289 (d) -0.5 (e) -2/13 b Which is the nearest to 0.61? (a) 178 (b) -20212 (c) -2 c Which is the closest to -0.3? (a) -4 (b) -0.2 (c) -1/6 (d) 1/307 (e) -5 (f) -1864/5 b Which is the nearest to 1/12? (a) 2 (b) -3246 (c) 2/7 c Which is the closest to -0.08? (a) -3 (b) -17/5 (c) 0.2 (d) -1/2 c What is the nearest to 0.616 in 56, 0.8, -2? 0.8 Which is the closest to 3? (a) 33/5 (b) -5 (c) 92 (d) -2/5 (e) 3/5 e What is the closest to -440 in -0.38, -24, -1? -24 What is the closest to 1 in 3/311, -1/952, 2? 3/311 Which is the closest to -138? (a) 0 (b) 20 (c) -0.03 (d) 1 c Which is the nearest to 1? (a) -9160.6 (b) -1 (c) -20.6 b Which is the nearest to 11/6? (a) 3 (b) 64992 (c) 2/11 a What is the nearest to -72 in -2, 8/15, 2/19, -1/7? -2 What is the closest to -0.11 in -140, -93.4, -15? -15 Which is the nearest to -4? (a) 1 (b) -93 (c) -1 (d) -644 c What is the closest to 2 in -3, -233, 2/5, 2/9, 8/17, 0.3? 8/17 What is the nearest to 119/5 in -1/6, 0, 0.25, 2/11, -4? 0.25 What is the closest to 104 in 2/17, 144, 2/11, 25? 144 Which is the closest to 18? (a) 0.117 (b) 23 (c) 0.5 (d) -0.4 b What is the closest to -2/4615 in -20/3, 3, 43, 1/2? 1/2 Which is the closest to -1/5? (a) -0.6 (b) 0.064 (c) 0 (d) 3/2 (e) 116 (f) 7 c What is the nearest to 1 in 0.31, -2/3, -234, 3, -35? 0.31 Which is the nearest to 0.2? (a) 2/29 (b) 3 (c) 46 (d) -56 a What is the closest to -2/807 in 0, -2/27, 4/3, -0.1? 0 Which is the nearest to -1/3? (a) -1 (b) 46/13 (c) 2/9 (d) -46 (e) 0.5 c What is the closest to -0.09 in 0.7, -1388, -3/2, -0.08, -1, 0.1? -0.08 What is the closest to -1/2 in 0, 1/17, -9/7, -0.57, 5, 2/9? -0.57 Which is the closest to -50944? (a) 3 (b) -24 (c) 0.4 (d) -1/13 b Which is the nearest to -0.05? (a) -0.2 (b) -5 (c) 61 (d) 5 (e) 22 a What is the closest to 11 in -2, 2735, -1/8, 0, -0.12? 0 Which is the nearest to -0.1? (a) -2/7 (b) -5 (c) 163 (d) -401 (e) -2/9 (f) 0.2 e Which is the closest to 1/3? (a) 151943 (b) -9/25 (c) 2 b What is the nearest to 123 in 0.8, -1.15446, 0? 0.8 What is the closest to -2/7 in 6/5, 19, -55, -11/3, -2/13? -2/13 What is the nearest to 11 in 9, 70, -2/7, -1/9, -1.2? 9 What is the nearest to -41 in -32, 3, 17, 9? -32 Which is the nearest to 1755/22? (a) -1/3 (b) -1/122 (c) 4 (d) 3/5 c Which is the nearest to -2/13? (a) 2/3 (b) 1788 (c) 11 (d) 16 a Which is the closest to 1/3? (a) 20192 (b) 0.3 (c) -5 (d) -11 b What is the closest to 45 in 212, -2/167, -1/10, -5? -2/167 What is the nearest to 3.43 in -1, -6432/31, 1/2, -0.4? 1/2 What is the nearest to 6 in -1, -4692, -8? -1 Which is the closest to 0? (a) -23 (b) 1/4 (c) 2 (d) -13.88 b Which is the nearest to 336577? (a) -7 (b) -1 (c) 0 (d) -4 c What is the closest to -3394/7 in 35, 1/47, 2? 1/47 What is the closest to -17 in 2/3, -8/3, -5, -0.2? -5 Which is the closest to 5? (a) 0.4 (b) -2628 (c) -1.68 a Which is the closest to 1/2305? (a) -90 (b) 0 (c) 5 b Which is the nearest to -0.1? (a) -0.0203 (b) 401 (c) 9 a What is the nearest to 2/3 in -4/9, 1/3, -2/361, -0.2, -13/2? 1/3 What is the nearest to 0 in 3/5, -20, 107, -2? 3/5 Which is the closest to 6? (a) 5 (b) -5 (c) -2.2 (d) 0.2 (e) -7/5 a Which is the nearest to 27/8? (a) 9 (b) 167 (c) -0.4 c What is the nearest to -3 in -15/8, 289, 1, 2/5? -15/8 What is the closest to 0.4 in -3/2, 0.0497, -0.3, -2/83? 0.0497 Which is the nearest to -28/9? (a) 8 (b) 4 (c) 5 (d) 31 (e) 2 e Which is the closest to 40/3? (a) 1/3 (b) 4 (c) -35 (d) 0.07 (e) 45 b What is the closest to -2/7 in -0.5, 0.4, 0.04, -0.3, -4.249, 4? -0.3 What is the closest to 20 in -1/9, 4615, -16? -1/9 Which is the closest to 31/2? (a) -28 (b) -2 (c) 5 (d) -0.0275 c What is the closest to -1 in 4/3, 1/5, -0.3, -217, -805? -0.3 What is the nearest to -2 in 1.2, 0.2, 0.821, -12? 0.2 Which is the closest to -5? (a) -2/3 (b) 2/3 (c) -1/8 (d) 1/9 (e) 6340 a Which is the closest to -1/3? (a) 54 (b) -5/17 (c) -493 b What is the closest to 1/3 in 4, -0.5, 1/6, 547, -2/3? 1/6 What is the closest to -1 in -2, -0.4, 10, 0.6? -0.4 Which is the closest to -1? (a) 1/2 (b) 39/2024 (c) 0 c What is the nearest to -0.2 in 0, -5/174, 3/7, -231? -5/174 What is the closest to -0.05 in 1/3, 528002, -0.5, 1? 1/3 What is the closest to 23.9 in 2/5, -170, 5, -2/23, 0.2? 5 What is the closest to 2 in -5/68, 2.86, 0.04? 2.86 Which is the nearest to -74? (a) -429 (b) 0 (c) -2/7 (d) -2 (e) -0.4 d Which is the nearest to 1/3? (a) 2 (b) 1/14 (c) -109 (d) -3 (e) -2/19 (f) 34/3 b Which is the closest to 3? (a) -12 (b) 51 (c) 0.139 (d) 0.9 (e) -0.4 d Which is the closest to -24791? (a) 0 (b) -21 (c) 0.3 b Which is the nearest to 1? (a) 33 (b) -36 (c) 0 (d) -1/1644 c Which is the nearest to -12? (a) -6/175 (b) 2/39 (c) 3.7 a Which is the nearest to 1.3? (a) -3 (b) -2/9 (c) -0.5 (d) 5 (e) 5/2 (f) 362 e Which is the nearest to 1? (a) -1/674 (b) -8077.4 (c) -0.2 a What is the closest to 0.1 in -28, -1, 18, 0, -5, 1? 0 Which is the closest to 4? (a) -182 (b) -0.2 (c) -1/2 (d) -0.3 b Which is the closest to 1? (a) 6 (b) -3 (c) 4/21 (d) 232 c Which is the nearest to -0.05? (a) 85 (b) -0.9 (c) -0.2 (d) 8 c Which is the nearest to -10? (a) 0.5 (b) -1 (c) 30 (d) -6250/3 b What is the nearest to -0.1 in -0.1, 8, -2, 5, 5/22, 162? -0.1 What is the nearest to 4 in 4/9, 1/4, 4, -5, -1? 4 Which is the nearest to 0.2? (a) -2/5 (b) 105321 (c) 3 (d) 0.3 (e) -1 d Which is the nearest to 17979? (a) -0.5 (b) 5 (c) 0.002 b Which is the closest to 1? (a) -1 (b) 17/4 (c) 20 (d) -14 (e) 54 a Which is the nearest to 0.5? (a) 8/9 (b) -11.7 (c) 35/4 a Which is the closest to 1? (a) -34.4 (b) -5 (c) -68 b What is the nearest to -111 in -5651, -0.6, -4, -2/5? -4 Which is the closest to 6/19? (a) 241 (b) -208.5 (c) -1 c What is the nearest to 264 in -1, 5, 5733, 1? 5 What is the closest to 0.1 in 512, -5/4, 26? -5/4 Which is the nearest to -1817? (a) 11/2 (b) 14 (c) -0.1 c What is the closest to 0.1 in -3, -4/3, -0.01571106? -0.01571106 Which is the closest to 0.7? (a) 1/4 (b) 9 (c) -285 (d) 1 (e) 36 d What is the closest to 2/5 in -5/3, -2/89, 1, 0.04, 0.03? 0.04 Which is the closest to 2? (a) 0.3 (b) 0.2 (c) 2 (d) -0.3108 (e) 2/27 (f) 5 c What is the nearest to 7 in -4, -1.6, 0.03212, 3, 0? 3 Which is the nearest to -146? (a) 41 (b) 0 (c) 2.4 (d) 0.11 b What is the nearest to -2/11 in 4, -187.7, 0.4382? 0.4382 What is the closest to -0.3 in 318, -1, 5/4, -47, -0.11? -0.11 What is the closest to 0.21 in -1/3, 26217, 3? -1/3 Which is the nearest to -208? (a) 0.5 (b) -309 (c) 7 b What is the closest to 198 in -1, 3, -4, 0, 0.043? 3 Which is the closest to 7? (a) 3 (b) 3/4 (c) -11002 (d) 5/4 (e) -0.5 (f) 2 a What is the closest to -1.4 in -1607/3, -0.2, -0.4, 3? -0.4 Which is the nearest to 1? (a) -551369 (b) 7 (c) 0.4 c What is the closest to 39 in 3/4, 2/157, 0.1, -8.3, -4/5, 1/8? 3/4 What is the nearest to -1 in -5, -11/38, 6/11, 0.3? -11/38 What is the closest to -1 in -5062, 21, 1/4, -1/12? -1/12 What is the closest to -0.1 in -3/40, 0.801, 5/3? -3/40 Which is the nearest to 1/9? (a) 3 (b) -1/18 (c) -1.5 (d) -87 (e) 3/5 b What is the nearest to 2.5 in -0.3, -5, 4/5, 2/11, -8? 4/5 What is the nearest to 0.6 in -7.94, 5, 95, 3? 3 Which is the nearest to 1/4? (a) -63/10 (b) -11 (c) -86 a What is the nearest to 5442 in 3, -35, 6, 0.1, -0.3? 6 Which is the nearest to 3? (a) 0.54 (b) 0 (c) 3/5 (d) 0.86 (e) -3.1 d What is the nearest to 3 in -2/7, -143973, 2/19? 2/19 Which is the closest to 9/1162? (a) 1/16 (b) 0 (c) 4 (d) -5 (e) 2/9 b What is the nearest to -2 in 2/17, 5, -1/2, 0.2, 19035? -1/2 What is the nearest to -2 in 6/89, 0.1, -
{ "pile_set_name": "DM Mathematics" }
76. 5880 Calculate the common denominator of 57/124 and -29/8. 248 What is the lowest common multiple of 209 and 646? 7106 What is the common denominator of -65/176 and 83/432? 4752 Find the common denominator of 31/774 and -25/602. 5418 Calculate the least common multiple of 40 and 68. 680 What is the least common multiple of 132 and 540? 5940 Find the common denominator of -55/376 and -3/296. 13912 What is the smallest common multiple of 12 and 222? 444 What is the lowest common multiple of 68 and 40? 680 What is the smallest common multiple of 33 and 44? 132 Find the common denominator of 13/2 and 95/132. 132 Calculate the least common multiple of 38 and 8. 152 Calculate the least common multiple of 321 and 486. 52002 What is the smallest common multiple of 63 and 28? 252 Calculate the lowest common multiple of 70 and 595. 1190 Calculate the least common multiple of 406 and 406. 406 What is the common denominator of -59/620 and 89/16? 2480 Calculate the lowest common multiple of 42 and 132. 924 What is the common denominator of -57/110 and -4/55? 110 What is the smallest common multiple of 192 and 144? 576 Calculate the lowest common multiple of 2348 and 23. 54004 Calculate the common denominator of -23/5 and 12/65. 65 What is the least common multiple of 63 and 126? 126 Calculate the least common multiple of 165 and 30. 330 Calculate the smallest common multiple of 48 and 18. 144 Calculate the common denominator of -61/88 and -51/88. 88 What is the least common multiple of 636 and 1378? 8268 Calculate the smallest common multiple of 6 and 70. 210 What is the common denominator of 6/7 and -14/47? 329 Find the common denominator of 71/1060 and 27/10. 1060 Find the common denominator of 51/52 and 68/65. 260 Calculate the lowest common multiple of 1433 and 9. 12897 What is the least common multiple of 270 and 54? 270 Find the common denominator of 145/684 and 23/456. 1368 Find the common denominator of 28/319 and 121/696. 7656 Find the common denominator of 22/19 and 91/158. 3002 Calculate the smallest common multiple of 2352 and 1176. 2352 Calculate the common denominator of 127/72 and 97/126. 504 What is the common denominator of -29/189 and 181/270? 1890 What is the smallest common multiple of 48 and 54? 432 What is the lowest common multiple of 338 and 4? 676 What is the least common multiple of 77 and 5? 385 Calculate the smallest common multiple of 63 and 245. 2205 Find the common denominator of -11/4 and 3/614. 1228 What is the smallest common multiple of 12 and 58? 348 Calculate the lowest common multiple of 80 and 40. 80 Calculate the common denominator of 19/2656 and 81/1328. 2656 Find the common denominator of 85/6 and 33/2927. 17562 Find the common denominator of 36/5 and -66/175. 175 Calculate the least common multiple of 18 and 206. 1854 What is the common denominator of 73/98 and -51/35? 490 Calculate the common denominator of -89/30 and 62/33. 330 Find the common denominator of 85/9064 and -83/10. 45320 Calculate the least common multiple of 10 and 1746. 8730 What is the least common multiple of 20 and 100? 100 Calculate the smallest common multiple of 20 and 80. 80 What is the smallest common multiple of 4641 and 1001? 51051 Calculate the common denominator of -29/295 and -31/236. 1180 Calculate the least common multiple of 3546 and 5516. 49644 What is the common denominator of 127/126 and -37/399? 2394 Calculate the smallest common multiple of 18 and 462. 1386 Calculate the smallest common multiple of 1924 and 10. 9620 Calculate the common denominator of -10/49 and -22/9. 441 Calculate the common denominator of 69/2 and 5/1901. 3802 What is the least common multiple of 50 and 14? 350 Calculate the common denominator of 77/720 and -103/100. 3600 What is the smallest common multiple of 44 and 636? 6996 What is the common denominator of -83/30 and -43/75? 150 Calculate the common denominator of 19/40 and -61/7316. 73160 What is the least common multiple of 72 and 45? 360 What is the least common multiple of 14 and 92? 644 Calculate the common denominator of -33/5 and -97/2. 10 What is the lowest common multiple of 3384 and 423? 3384 What is the common denominator of 7/540 and -89/486? 4860 Calculate the least common multiple of 9619 and 1. 9619 Calculate the smallest common multiple of 16 and 352. 352 Calculate the least common multiple of 14 and 1878. 13146 Find the common denominator of 41/1112 and 19/6. 3336 What is the common denominator of -29/45 and 121/20? 180 Calculate the least common multiple of 234 and 234. 234 Find the common denominator of -13/30 and 113/80. 240 What is the common denominator of 19/2050 and 53/533? 26650 What is the common denominator of -33/191 and -67/6494? 6494 Calculate the lowest common multiple of 370 and 2. 370 What is the smallest common multiple of 150 and 125? 750 Calculate the common denominator of 53/294 and -15/98. 294 Find the common denominator of -53/40 and -97/50. 200 What is the least common multiple of 3260 and 300? 48900 What is the smallest common multiple of 60 and 582? 5820 What is the smallest common multiple of 1425 and 15? 1425 Calculate the lowest common multiple of 75 and 45. 225 What is the common denominator of 53/54 and 131/12? 108 What is the common denominator of -11/10 and -21/22348? 111740 What is the lowest common multiple of 20 and 18? 180 What is the common denominator of -97/18 and -13/1044? 1044 What is the common denominator of 9/1981 and 83/3962? 3962 What is the lowest common multiple of 335 and 670? 670 What is the lowest common multiple of 9 and 267? 801 Calculate the least common multiple of 6 and 2097. 4194 Calculate the least common multiple of 5 and 18. 90 Calculate the common denominator of -47/26 and -1/904. 11752 Calculate the smallest common multiple of 266 and 70. 1330 Calculate the common denominator of 113/12 and 61/7862. 47172 What is the common denominator of 181/2142 and -89/20? 21420 What is the common denominator of 59/3297 and -41/27? 29673 What is the lowest common multiple of 357 and 192? 22848 What is the lowest common multiple of 11 and 9648? 106128 Calculate the common denominator of -81/8 and 119/48. 48 What is the common denominator of -4/51 and -1/204? 204 Calculate the smallest common multiple of 2255 and 820. 9020 Find the common denominator of -25/272 and 37/476. 1904 Calculate the least common multiple of 90 and 10. 90 What is the least common multiple of 2 and 125? 250 Find the common denominator of -74/4059 and 97/6. 8118 Calculate the common denominator of 89/18 and 79/6. 18 What is the least common multiple of 112 and 70? 560 What is the common denominator of 19/8 and -75/976? 976 Calculate the common denominator of 31/23512 and 47/14. 164584 Calculate the smallest common multiple of 5628 and 21. 5628 Calculate the least common multiple of 538 and 4842. 4842 Calculate the least common multiple of 27 and 594. 594 Calculate the common denominator of -47/416 and -83/16. 416 Find the common denominator of 58/171 and 79/54. 1026 Calculate the common denominator of -39/40 and 107/14. 280 What is the common denominator of 119/9230 and 5/923? 9230 Find the common denominator of -67/321 and 61/36. 3852 What is the lowest common multiple of 146 and 4? 292 What is the smallest common multiple of 686 and 20? 6860 What is the lowest common multiple of 18 and 326? 2934 Find the common denominator of -19/21 and 28/225. 1575 Calculate the smallest common multiple of 12 and 210. 420 Find the common denominator of -1/1640 and 79/656. 3280 Calculate the lowest common multiple of 4257 and 2322. 25542 Calculate the common denominator of -63/4 and 59/2. 4 What is the least common multiple of 32 and 60? 480 What is the common denominator of 77/1836 and 77/204? 1836 What is the lowest common multiple of 4 and 780? 780 Calculate the least common multiple of 13 and 15. 195 What is the common denominator of -76/3 and -89/10? 30 Find the common denominator of 10/1521 and 32/845. 7605 What is the lowest common multiple of 9 and 7? 63 Calculate the smallest common multiple of 253 and 440. 10120 What is the common denominator of 48/445 and -29/355? 31595 Calculate the least common multiple of 720 and 288. 1440 Calculate the smallest common multiple
{ "pile_set_name": "DM Mathematics" }
+ 17, -2*q = -10. Solve -3*j = z*t - 2*j + 2, -14 = t + 3*j for t. 1 Suppose -c - 8*c + 18 = 0. Solve -11 = -n - 4*s, -c*n - 3*s = s - 14 for n. 3 Let h be (-144)/80*(-10)/6. Let t = 4 + -3. Suppose -o - 3*b + 3 = o, -b = t. Solve 0 = -3*c + 4*d - 15, h*c + o*d = -c - 20 for c. -5 Let n(v) = v**3 + v - 4. Let l be n(0). Let p be 2/4 - 10/l. Let x = 2 + p. Solve 0 = 5*s + x*m + 10, 6*s + m - 6 = s for s. 2 Let p(d) = 12*d**2 - d - 1. Let g be p(-1). Suppose 15*a - 72 = g*a. Solve -4*l = 2*n - a, -8 = 3*n - 0*n - 5*l for n. 4 Suppose 5*a + 21 = g - 9, 10 = -2*a. Suppose -74 = -g*b - 4*j, 3*j - 45 = -b - 2*b. Solve -b = 3*h - 3*s + 2*s, s - 18 = 4*h for h. -4 Let z be -1 - (-5 + -2 + 3). Suppose -z*j = 2*t - 24, 4*j + 4*t - 33 = t. Solve 1 = 2*l - v, -3*l = -4*v + v - j for l. -1 Let r = -19 - -28. Let l = 13 - r. Suppose -l = -v - 3*h, -2*h = -0*h. Solve 0*b + v = 4*d + 4*b, -4*b + 4 = -d for d. 0 Let d be 6 + -6 - (0 + -1). Suppose w + 3 + 1 = 0, -2*w = -l + 9. Suppose d + l = p. Solve 2*h - 4*h - p*i = 16, -h - 4*i - 17 = 0 for h. -5 Suppose z + 6*z - 70 = 0. Solve 2*t = z, -2*y + 6*y - t = 7 for y. 3 Suppose 5*a = -3*j + 10, 2*j - 6*j - 6 = -3*a. Solve 5*t = -3*h + 3, -4 = -4*h + 5*t - j for h. 1 Let q = 32 + -27. Solve -2*j - 2*v = -2 + 4, 0 = 3*j + v - q for j. 3 Let m(k) = k - 9. Let n be m(9). Solve -z + 8 = -4*b, -4*z = -5*b - n*b + 1 for z. -4 Let v = -3 + 8. Let c be (-3 + v)/(2/4). Suppose c*d - 9 = 3*d. Solve 2*j = w + d + 6, -2*j + 30 = -4*w for j. 5 Suppose -s = 4*s - 55. Let k be 9/6*8/6. Suppose -1 = -k*f + s. Solve f + 3 = 2*i - y, 3*y + 17 = i for i. 2 Let q(w) = w**2 + 7*w + 4. Suppose -7 = -3*h - 28. Let m be q(h). Solve m*t - 13 = -3*c, -2*c - 1 = -5*t + 21 for c. -1 Let c = 47 + -41. Solve -4*g = -2*y - 22, g - 5*y + c = 34 for g. 3 Let o = 5 - 4. Let p(d) = 30*d**2 - 2*d + 1. Let g be p(o). Solve n - g = -5*q, 2*q - n = 6*q - 24 for q. 5 Let z be (4/16)/(1/12). Solve z*u + 2*o = -o, 20 = -u + 4*o for u. -4 Suppose -5*q = 3*g + g - 12, g = -3*q + 10. Let l be 6/2*2/3. Let v be -6 + 5 - (-10)/l. Solve 4*f + q*h + 8 = 0, -h - 1 + 5 = v*f for f. 2 Suppose -4*o + 48 = -2*n - 0*n, 3*o = n + 34. Solve -o = 5*z - 3*x + 11, -5*z = 5*x + 5 for z. -3 Suppose -3*u + 5*s = -30, -3*u = 2*u - s - 28. Solve 3*l + 6*q = 4*q - 4, -2 = u*l + q for l. 0 Let p(u) = u**3 + 4*u**2 + 3*u + 4. Let w be p(-3). Let o(j) = 8*j**2 + j - 1. Let l be o(1). Solve 5*d - 11 = c + 2*d, w*d - l = 0 for c. -5 Let r = -4 + 9. Solve 0 = -4*s + r*l - 2, 0*s - 2*s - 6 = -5*l for s. 2 Let d(v) = -v**2 - 4*v + 2. Let r be d(-4). Suppose 24 = 3*g - 30. Let b be g/15*1*5. Solve -2*x = -0*x - m - 6, 5*x + r*m = b for x. 2 Let q(t) = -t - 3. Let a be q(-3). Suppose 0 = -3*f - f. Suppose f = b - a*b - 2*p - 4, 5*b - 20 = p. Solve -k = -r + 3, b*r = k + 6 + 9 for k. 1 Let x be ((-1)/3)/((-2)/12). Let u be 0/(3 + (-4)/x). Solve g = 2, a + g + g - 5 = u for a. 1 Let w = -3 - -7. Solve 0*o = 3*o + 3*s + 3, w*s + 5 = -3*o for o. 1 Suppose -16*o + 17*o = 4. Solve -2*n + 2 - o = 3*q, 0 = 4*n - 2*q - 12 for n. 2 Let r(p) = p**3 - 22*p**2 + 22*p - 18. Let d be r(21). Suppose -3*z - n + 9 = 0, -2*z = -5*n + n + 8. Solve i = x + d*x + 22, -z = -i for x. -5 Let b(l) = -l - 1. Let x be b(-11). Suppose 4*k - x = -3*j, -j + 4*j = -3*k + 9. Solve j*r = 5*p + 21, 2*r + p + 4*p = -29 for r. -2 Let o(p) = -2*p + p - 2*p. Let v = 3 - 4. Let t be o(v). Solve -5*i - 2*y = 10 + 8, 2*i = -5*y - t for i. -4 Suppose -4*r - 9 = r + 3*b, 6 = -2*b. Suppose 0 = -5*x + x. Solve x*k + 3*u = k - 9, r = k + 4*u + 19 for k. -3 Suppose 7*z = 11*z - 32. Suppose z = -4*i + 24. Let v = 5 + -3. Solve -i*l = -4*g + 20, 2*l + v*g = l + 1 for l. -3 Let s be -1*(-9)/((-3)/(-1)). Solve -5*a = -s*p - 4, 0*a + 14 = a - 5*p for a. -1 Suppose 2*w = 2 + 4. Solve -w*d + 35 = -5*g, g + 16 = -3*g for d. 5 Let c be (18/(-24) + 0)*-4. Solve 3*x - 2*x + 5*w + 6 = 0, 5*x + c*w = -8 for x. -1 Suppose 24 = 6*s - 0. Solve 2*g + 5 = -2*y + 1, -5*g - s = -y for y. -1 Suppose -2*x = -3*x. Let t = -4 + 3. Let v = 4 - t. Solve 2*k = -4*z + 2 - x, v*z + 5*k + 10 = 0 for z. 3 Suppose -2*h + 5*c + 4 = c, 0 = -5*h - 4*c + 24. Solve 2*f + h = -k - 3, 5*f + 10 = 5*k for k. -1 Let t = -11 - -12. Suppose t = w - 2. Solve 0 = -2*k - 4*o - 16, -w*k + 3 = -o - 8 for k. 2 Let p(y) = -y**3 + y**2 - 4*y + 4. Let u be p(3). Let h = -26 - u. Solve b + 4*b - 10 = h, c - 5*b = -8 for c. 2 Let f(c) = -c**2 - c + 3. Let o be f(-4). Let u = -8 - o. Let m be 8 + (0 - u - 2). Solve -2*n + 0 = -2*d + 4, -n - m*d + 4 = 0 for n. -1 Suppose 0*h + 3*x = 2*h + 3, -2 = -5*h - 2*x. Solve h = -5*o - k - 9 - 11, 2*o = -k - 11 for o. -3 Suppose -3*k + 76 = k. Suppose -a + 5*y + 0*y = 5, -5*a + k = -3*y. Solve z - 2*z = a*w + 3, 3*w + 2*z = -6 for w. 0 Suppose -7*w + 25 = -2*w. Suppose -w*u + 10 = -5*q, -u + 1 + 1 = 2*q. Solve -j + f + 1 = u*f, 5 = 5*j - 2*f for j. 1 Let q(k) be the first derivative of -k**3/3 + 7*k**2/2 - k + 1. Let m be (-30)/(-4)*20/25. Let t be q(m). Solve -2*a + t = -3*u - a, 4*a - 6 = -2*u for u. -1 Let y(f) = f**2 - f - 67. Let q be y(0). Suppose -4*b + 12 = -372. Let i = q + b. Solve 2*g + 3 - 1 = 0, 0 = 5*w - 4*g - i for w. 5 Suppose -2*n + 2*p + 2 = 0, -2*n + p = -6*n - 21. Let w = n + 7. Suppose -2*o + w + 7 = 0. Solve 0 = o*a + 2*l - 10, l = -0*a - a - 1 for a. 4 Suppose 2*l = -5*f + 3*l + 19, -4*f + 13 = -3*l. Let u(y) = -y**2 - 5*y + 3. Let q be u(-5). Solve 3*k = -f*c - 24, -1 = -5*k - q*c - 30 for k. -4 Let r = 5 - 3. Let y = -10 - -8. Let k be (0 + y)/r + 5. Solve -2*m = w + 11, 2*w - w = m + k for w. -1 Let n be (-1 - -2) + 4 + -1. Solve -2*s + 3*j - n = 0, -s + 0 = -4*j - 3 for s. -5 Let i be 17/4 + (-1)/4. Let w(o) = o**3 + 7*o**2 - 4*o + 4. Let l be w(-7). Solve -1 = -2*h + h - p, -5*p = -i*h - l for h. -3 Let f be (3 - -1) + -2*2. Solve -l + 21 = -3*t + 2*l, f = 4*t - 3*l + 25 for t. -4 Suppose 0 = -0*r + 5*r. Suppose 2*f = -3 - 1. Let k = f - -6. Solve r*b + 5*b - 5 = l, 2*l = k*b - 4 for l. 0 Suppose -5*r = -s - 30, 2*s - 10 - 8 = -3*r. Let x be 7 + (-7 + 1)/(18/9). Solve -y + j - r = y, -x*j - 8 = 0 for y. -4 Let q(i) = -i**2 - i + 2*i**2 + 1 - 2*i. Let l be q(4). Suppose -3*o = -5*z - 4*o + 15, l*o = -25. Solve -5*n + f - 2 = 0, -n - 5*f = z*n + 20 for n. -1 Suppose 3 = -k + 2*k. Solve 0 = 5*t - p - 16, 5*p - k - 4 = -4*t for t. 3 Let m(v) = -v**3 - 3*v**2 + 3*v + 1. Let s be m(-4). Suppose d - 3*q = -1, q = -d - q + 9. Solve -s*k - 12 = -k - d*i, 4*k + 2*i = -12 for k. -3 Let a(f) = f**2 + 6*f + 4. Let r be a(-8). Solve 5*p - 20 = -5*s + r, 0 = -4*p - 3*s + 27 for p. 3 Let i = 0 - -3. Suppose i*o = 11 + 10. Solve 0 = 3*r + 5*m + 18, -4*r + 5*m + o + 4 = 0 for r. -1 Suppose -5*y + 5*c = 120, -4*y + 0*y - 2*c = 90. Let z = y + 23. Solve 0 = i - 4*m - 5, z*i = i - 5*m - 6 for i. 1 Suppose 3*v - 2*k + 57 = -0*k, -40 = 2*v - 2*k. Let m = 65 + v. Let u be m/15 + (-2)/10. Solve -5*z = -0*z - 25, 3*z - 9 = u*p for p. 2 Let d be (3/2)/3*2. Let x = d + 1. Solve 6*z = 2*z + x*c - 2, -z - 2*c = 13 for z. -3 Let k(g) = -g - 10. Let v be k(-11). Let y(l) = -l + 1. Let u be y(v). Solve -4*s - 20 = u, 3*r + 4 = 2*r - s for r. 1 Suppose 4*m + 0*m = -4. Suppose 3*q - 3*j = -j - 1, 4*q = -2*j + 22. Let h = m + q. Solve -w - 5*g = -h*w - 17, -g = 2*w + 1 for w. -2 Let o = 9 - 12. Let n be (-65 - -6) + (0 - o). Let k = -28 - n. Solve r + k = u - 4*r, -r - 5 = 0 for u. 3 Suppose 2*g = -0*g - 24. Let h be 39/12 + 3/g. Solve -h*x - 3*c + c = 1, 2*c = 2 for x. -1 Let t = 32 - 17. Suppose -6*d + t = -d. Let w be (-13)/(-3) - (-1)/(-3). Solve d*j = -3*k - 1 + 4, -5*k + w*j = -41 for k. 5 Suppose 0*a = 5*a. Let c be 5 + (a - 4/2). Suppose -c*o - o = -24. Solve -g - o = -2*g - 2*h, 0 = 2*g - 3*h + 23 for g. -4 Suppose -2*b - 1 + 3 = 0, -2*b = -4*p + 54. Solve -d - 2*d - 2*o - p = 0, 4*d + 18 = -2*o for d. -4 Suppose -2*x = 2*j - 0 - 10, 0 = 2*x - 6. Suppose 2 = j*l - 4. Let a be -1*l*(-1)/1. Solve 4*b + 5*w + 8 = 0, -w + 5*w = a*b + 6 for b. -2 Let t be (-12)/(-2) + (-30)/10. Solve 3*i - 22 = -c - 8, 5*c - t*i = -20 for c. -1 Let q(u) = u**3 + 7*u**2 - 5*u + 27. Let n be q(-8). Solve 4*k + 1 = -n*i + 5, -i - 6 = 5*k for k. -2 Suppose 2*c = 5*t - 180 + 74, 5*c = -3*t + 45. Suppose -4*l = -4*b, 3*b - b + 3*l = t. Solve 0 = -2*v + 2*j - 3*j - 9, b*j
{ "pile_set_name": "DM Mathematics" }
) wrt f. 2 Let y be (78/(-12))/(-13)*0/1. Let d(g) be the second derivative of -1/12*g**4 + y*g**2 - 1/3*g**3 + 0 - 4*g. What is the second derivative of d(k) wrt k? -2 Let j(b) be the first derivative of b**7/7 - 11*b**3/6 + 5*b - 11. Let s(o) be the first derivative of j(o). Find the second derivative of s(l) wrt l. 120*l**3 Find the third derivative of -3*b**2 - 520*b**3 + 97 - 49 - 62 wrt b. -3120 Suppose 0 = g - 0 - 6. Find the first derivative of g*q**4 + 7 + 3*q**4 + 0 wrt q. 36*q**3 Let f(s) = 25*s**4 - 6*s**2 - 6*s + 46. Let l(u) = -u**4 - u**2 - u - 1. Let m(y) = -f(y) + 6*l(y). What is the derivative of m(b) wrt b? -124*b**3 Let c(j) = 4*j**2 - 9*j + 43. Let p(u) = -u + 1. Let r(q) = -c(q) - p(q). Differentiate r(t) with respect to t. -8*t + 10 Let r be 28/(-42) - (-8)/3. What is the first derivative of 2*j**3 - r - 3*j**3 + 12 + 9*j**3 + j wrt j? 24*j**2 + 1 Suppose 0 = 3*s + 31*s - 7*s. Let b(h) be the second derivative of -4*h - 1/2*h**3 - h**2 + s. Differentiate b(k) with respect to k. -3 Let t(v) = 571*v**4 + 3*v**3 + 2*v + 3. Let r(d) = 565*d**4 + 2*d**3 + 2*d + 4. Let c(z) = -3*r(z) + 2*t(z). What is the second derivative of c(y) wrt y? -6636*y**2 Let l(a) = a**2 + 6*a - 3. Let k be l(-7). Differentiate 16 - 4 + 0 - 13*h**k with respect to h. -52*h**3 Let d(r) be the first derivative of 25*r**6/6 + 3*r**5/5 - 44*r**2 - 4*r + 697. Find the second derivative of d(w) wrt w. 500*w**3 + 36*w**2 Suppose -12*x + 108 + 192 = 0. Find the second derivative of x*a + 21*a - 41*a**5 + 24*a**5 wrt a. -340*a**3 Find the first derivative of -22 + 51*g**3 - 9*g**3 - 70 + 8 wrt g. 126*g**2 Let j be ((-4)/(-2))/(6/(-27)*3). Let o(q) = 28*q**2 - 8*q - 22. Let h(b) = 9*b**2 - 3*b - 7. Let z(m) = j*o(m) + 8*h(m). Differentiate z(d) with respect to d. -24*d Let o(d) = -26*d**3 + 2*d - 101. Let s(q) = 23*q**3 - q + 100. Let m(y) = 3*o(y) + 4*s(y). Differentiate m(b) wrt b. 42*b**2 + 2 Let o(h) = h**2 + 15*h + 16. Let s be o(-14). Let v be 1/6 + (-145)/(-30). Find the third derivative of c**5 + 2*c**5 + 2*c**v - 5*c**s wrt c. 300*c**2 Let d(c) = -8*c**3 + 4*c**2 - 11. Let y = 6 - 2. Let i(r) = -24*r**3 + 11*r**2 - 32. Let l(f) = y*i(f) - 11*d(f). Differentiate l(p) with respect to p. -24*p**2 Let f be (-10)/(-15)*78*1. Find the second derivative of 104 - f - z**3 - 9*z - 52 wrt z. -6*z Let x be 30/(-4)*(-124)/155. Let u = 1 - -3. Differentiate 6*c - x*c + c**u - 3 wrt c. 4*c**3 Let u be 1/(1*2/6). Suppose u*r = -2*r. Find the first derivative of 0 + r - 3 - 3 - 7*x**2 wrt x. -14*x Let g(b) = 24*b + 50. Let z be g(-2). Let n(v) be the third derivative of -3*v**z + 0 + 5/6*v**3 + 0*v + 0*v**4 + 1/15*v**5. Differentiate n(x) wrt x. 8*x Let w(a) be the third derivative of 0*a - a**2 + 0 + a**3 - 7/120*a**6 + 0*a**5 + 0*a**4. What is the first derivative of w(d) wrt d? -21*d**2 Let a(f) be the third derivative of -f**6/24 + f**5/10 - 5*f**3/6 + 75*f**2 - 2*f. Find the third derivative of a(p) wrt p. -30 Let x(z) = -z**2 + 2*z + 1. Let f(v) = 4*v**2 + 3*v - 139. Let w(t) = -f(t) - 5*x(t). Find the first derivative of w(h) wrt h. 2*h - 13 Suppose 25*g = 137 - 37. Let d(z) be the first derivative of 5/3*z**3 + 0*z**2 + 2 + 0*z**g + 0*z + 6/5*z**5. What is the third derivative of d(p) wrt p? 144*p Let l = 3 - -4. Let r be ((-6)/7)/(-3)*l. Find the third derivative of -10*j**r + 16*j**2 - 5*j**4 - 3*j**2 wrt j. -120*j Let t(n) = -n**3 + 3*n**2 - n - 1. Let y(w) = 77*w**3 - 19*w**2 + 6*w - 139. Let q(p) = 6*t(p) + y(p). What is the first derivative of q(a) wrt a? 213*a**2 - 2*a Let o(r) be the second derivative of 7*r**6/30 + 11*r**5/10 + 3*r**4/4 + 53*r**3/6 - 113*r. Find the third derivative of o(b) wrt b. 168*b + 132 Let w(z) = z - 4. Let y(h) = 3*h**2 + 3*h + 1. Let f be y(-2). Let o be w(f). Find the second derivative of x**3 + 2*x + 2*x**o + 0*x**3 - 7*x wrt x. 18*x Let u(t) = -t**2 - 5*t + 8. Let s be u(-6). What is the third derivative of -144*g + 71*g - 27*g**s + 73*g + 20*g**5 wrt g? 1200*g**2 Let a be ((-1)/6 + 7/(-3))*-2. What is the second derivative of 33*f**5 - 77*f**a + 33*f**5 + 28*f wrt f? -220*f**3 Let n(o) be the second derivative of -22*o**6/15 + 51*o**2/2 - 4*o + 9. Find the first derivative of n(a) wrt a. -176*a**3 Let c(u) = 16*u**3 - 8. Let h(w) = -4*w**3 + 2*w**3 - 5*w**3 - 1 + 6*w**3. Let j(i) = c(i) + 5*h(i). Find the first derivative of j(s) wrt s. 33*s**2 Let s(q) be the second derivative of 35*q - 1/2*q**2 - 3/4*q**4 + 0 - 5/6*q**3. Find the second derivative of s(o) wrt o. -18 Suppose -125 = -4*n - 25. Suppose -3*f - 19 = -n. Find the second derivative of 5*z**f + 10*z + 2*z + z - 9*z**2 wrt z. -8 Let j be ((-6)/(-4))/((-2)/(-4)). Let f be ((-6)/5)/(16/(-40)). What is the derivative of 2*a**f + 2*a**3 - 7 - 3*a**j wrt a? 3*a**2 Let m(x) = -100*x**4 - 6*x + 178. Let o(t) = 201*t**4 + 13*t - 356. Let n(w) = 9*m(w) + 4*o(w). Find the second derivative of n(k) wrt k. -1152*k**2 Let d(j) = 414*j**4 - 11*j**3 + 11*j**2 + 427. Let t(g) = -137*g**4 + 4*g**3 - 4*g**2 - 142. Let w(i) = -4*d(i) - 11*t(i). Differentiate w(n) wrt n. -596*n**3 Let q(c) = -2*c**2 + 10*c + 2. Let r be q(5). Find the third derivative of 15*n**3 - 2*n**r + 13*n**2 + 10*n**3 wrt n. 150 What is the derivative of 23 - 13 + 74 - 47*h**3 wrt h? -141*h**2 Let p = -1 + 6. Find the third derivative of g**5 + g**p - 5*g**2 + g**5 wrt g. 180*g**2 Let w(n) be the first derivative of 194*n**3/3 - 128*n - 99. Find the first derivative of w(h) wrt h. 388*h Let t(c) be the second derivative of -c**7/21 + 333*c**6/10 + 121*c**4/12 + c**2 - 3*c + 246. What is the third derivative of t(a) wrt a? -120*a**2 + 23976*a Suppose -68 = 10*i + 12. Let h(k) = -16*k**3 + 22. Let v(b) = -5*b**3 + 7. Suppose 4*u - 5*u + 3 = 0. Let f(s) = i*v(s) + u*h(s). Differentiate f(z) wrt z. -24*z**2 Let m = 1 + 0. Let z(v) = -7*v - 52 - 3*v**2 + 94 - 45. Let y(q) = -1. Let c(x) = m*z(x) - 3*y(x). What is the second derivative of c(o) wrt o? -6 Let c(g) = -g**3 - g**2 - g. Let q(k) = -11*k**3 + 3*k**2 + 31*k. Let i(w) = c(w) + q(w). Find the third derivative of i(f) wrt f. -72 Find the second derivative of -500*s**5 - 8*s - 6*s - 43*s + 0*s + 160 - 158 wrt s. -10000*s**3 Let v(o) be the third derivative of -53*o**8/336 + o**5/60 + o**4/8 + 65*o**2. Find the third derivative of v(q) wrt q. -3180*q**2 Let a(h) = -h**5 + h**3 + h**2 + 1. Let k(v) = 554*v**5 - 2*v**3 - 2*v**2 + 518*v - 2. Let n(b) = 2*a(b) + k(b). Find the second derivative of n(z) wrt z. 11040*z**3 Let j be 2/((-2)/4 - 243/(-6)). Let g(a) be the second derivative of j*a**5 - a + 0*a**3 + 0*a**4 + 0 + a**2. What is the first derivative of g(v) wrt v? 3*v**2 Let s be (-56)/(-70)*(10/4 + 0). Let x(b) = 51*b**2 - 2. Let o(z) = 103*z**2 + z - 5. Let i(m) = s*o(m) - 5*x(m). Find the second derivative of i(d) wrt d. -98 Let w = 1 - -4. Let b be 102/30 - (-3 - 17/(-5)). Find the second derivative of s**3 + 10*s - w*s**3 + 2*s**b wrt s. -12*s Suppose 2*g = -0*g + 18. Suppose -4*s + 0*b + g = -b, 0 = 3*b + 3. What is the third derivative of -3*k**s - 20*k**5 + 17*k**5 - 2*k**2 wrt k? -180*k**2 Let v(t) be the third derivative of t**7/840 - t**6/120 + 5*t**3/2 - 3*t**2. Let q(y) be the first derivative of v(y). Find the third derivative of q(i) wrt i. 6 Let q(r) = -r**2 + 11*r + 5. Let a be q(10). What is the second derivative of a*f**2 - f**2 + 2*f - f**2 wrt f? 26 Find the second derivative of -1031*y**3 + 132 - 51 - 76 + 18*y wrt y. -6186*y Let m = -18 - -22. What is the second derivative of 33*l - 8*l**4 - 12*l + 36*l**m + 4*l wrt l? 336*l**2 Suppose -3*x = -134 + 26. Let n = x + -33. What is the derivative of 9*z**3 + 9 + 0*z**n + 0*z**3 wrt z? 27*z**2 Let a(l) be the first derivative of 8 + 1/6*l**6 + 0*l + 0*l**4 + 5*l**3 + 0*l**2 + 0*l**5. Find the third derivative of a(d) wrt d. 60*d**2 Let h(r) be the second derivative of 0*r**6 + 0*r**4 + 0*r**5 + 1/6*r**7 + 0*r**2 + 0 + 21*r + 4/3*r**3. What is the second derivative of h(q) wrt q? 140*q**3 Let m(s) = -41*s**3 - 4*s**2 + 86*s + 5. Let x(b) = -40*b**3 - 4*b**2 + 97*b + 6. Let h(z) = 3*m(z) - 2*x(z). Find the second derivative of h(y) wrt y. -258*y - 8 Let n(z) be the first derivative of 0*z + 0*z**4 + 47/3*z**3 + 0*z**6 + 0*z**2 + 33 + 6*z**7 + 0*z**5. Find the third derivative of n(g) w
{ "pile_set_name": "DM Mathematics" }
gest value? (a) -2 (b) -1/10 (c) 19 (d) -0.04 (e) -2/13 (f) 81 (g) -1/3 g What is the smallest value in -1/4, -0.3, -51/7, -1, -0.04, -3/4, -3? -51/7 Which is the second smallest value? (a) -0.8 (b) 6/35 (c) -13 (d) -4 d Which is the third biggest value? (a) 6/5 (b) 4 (c) 155288 a What is the third biggest value in 4/9, 1, 0, -2, -483, -45? 0 Which is the sixth biggest value? (a) 3 (b) -0.3 (c) -1/3 (d) 0.3 (e) -2 (f) 2/3 (g) 30732 c What is the third smallest value in -7, 2, 7/3, 17/43, -180? 17/43 What is the smallest value in -0.3, -3377, 32? -3377 Which is the smallest value? (a) 9 (b) -0.3 (c) 5 (d) -105 (e) 172 (f) 0 d What is the second smallest value in 5, 15.3, 234, 2/9, -3, 1/7? 1/7 What is the third biggest value in -2, 2/399, 60209? -2 Which is the smallest value? (a) 1 (b) -95.172 (c) -4569 c Which is the biggest value? (a) -101 (b) -5 (c) -827 (d) 1/4 (e) -1/2 d What is the fifth smallest value in -1297, -1.82, -0.5, 0, -1/4, -4, 0.5? -1/4 Which is the third biggest value? (a) -4403 (b) 2/7 (c) -2 a What is the second biggest value in -1, 1807, -3/2, 4, 5, 19, 0.2? 19 What is the third smallest value in -36/71, -23.8, 0.01? 0.01 What is the fifth biggest value in 2, -9, -11, 0.3, 3, -152, -1? -9 Which is the sixth biggest value? (a) -4/15 (b) 1 (c) -0.23 (d) 0.02 (e) 2/9 (f) 3 (g) -18/73 g Which is the second biggest value? (a) -0.7 (b) 3 (c) -468 (d) 2749 b What is the smallest value in -0.3, -1/30, -0.6, 2, 1/5, -1101? -1101 What is the fifth smallest value in -1.2, -58, 1/3, -1, -2/31, 0.09, -15? -2/31 Which is the second biggest value? (a) 4/5 (b) -54/11 (c) -1.29 (d) 4 (e) -0.4 a What is the sixth smallest value in 0.2, -3/7, 0.06, 2, 0.74, 0.8, 3/8? 0.8 What is the smallest value in -0.2, -1, -0.0494, -4, 3/5, 147? -4 What is the third smallest value in -1/6, 0, -242, 4, -4, 6, 55? -1/6 What is the smallest value in 0.5, 28/67, 0.3, 107? 0.3 Which is the biggest value? (a) -14 (b) 510090 (c) -1 b What is the second smallest value in -5/2, 4/25, -303.3, -4? -4 What is the fifth smallest value in -98, 6, -14, -18, -10, 1, -3? -3 Which is the third smallest value? (a) 1437 (b) -0.4 (c) -2875/3 a Which is the biggest value? (a) -54849014 (b) 4 (c) 0.4 b Which is the smallest value? (a) 4 (b) 6.97 (c) 0.14 (d) 91 (e) -3 e What is the smallest value in 0.1, -1/3, -3.5453, 1, 4, 0? -3.5453 Which is the fourth smallest value? (a) -3 (b) 2428/5 (c) 3/71 (d) -0.3 b What is the fifth smallest value in 3/5, -1, 0, 14980, 2/5, -4, -0.02? 2/5 What is the third biggest value in 2/9, -6/5, -2, -4/31, -6425/3? -6/5 What is the biggest value in -0.1, -0.0647, -1, 0.3, -5? 0.3 What is the third biggest value in -0.3, 69.8, -1798, 1? -0.3 Which is the second smallest value? (a) -2/3 (b) 21 (c) -2/9 (d) -1.07 (e) -2/11 a What is the third smallest value in -5/4, 1/12, 9.6, -3, 1/9, 7/4? 1/12 What is the fourth smallest value in -2/95, 5, -1/2, -4/3, 3.3, 3, 363? 3 What is the biggest value in 1/5, 0.075, 14.5, -4, 1/132? 14.5 Which is the second smallest value? (a) -1.1 (b) 0.45 (c) 69 (d) 2/11 (e) -1/11 e Which is the second smallest value? (a) -100831 (b) 16 (c) -0.1 (d) 2 (e) 0.3 c Which is the fourth smallest value? (a) -2 (b) 15 (c) -14078 (d) 2/15 (e) -8/7 d What is the third biggest value in 1/71, 3, 0.37, 3/2, 40? 3/2 What is the third smallest value in 1/6, -3, 41, 4, -1/6, -54? -1/6 Which is the fifth biggest value? (a) -2/7 (b) 0 (c) -0.7 (d) -1/8 (e) 147 (f) -0.5 f What is the third smallest value in -8/9, -1, -1/8, 2/13, -54, -3? -1 Which is the fourth biggest value? (a) -2 (b) 8 (c) -3/4 (d) 0.9 (e) -221/2 a Which is the fourth biggest value? (a) -3/4 (b) -2 (c) 1/4 (d) -19.64 d Which is the fifth biggest value? (a) 3/4 (b) 2/33 (c) 0 (d) -2/27 (e) 0.4 (f) 1/5 (g) 183/16 b Which is the third biggest value? (a) 159 (b) -2/5 (c) -120 (d) 0.1 b Which is the second biggest value? (a) 1/10 (b) -1434 (c) -4 (d) -1/147 (e) 1/6 (f) 0 a What is the fourth biggest value in 2, -11, -5, -1/4, -308, 13/6? -5 Which is the fifth smallest value? (a) 0.5 (b) -1/11 (c) 12 (d) 13547 (e) 0 (f) -0.4 c What is the smallest value in -1220, -1.9, 2? -1220 What is the second biggest value in -3, -1/4, 7920311, 0.1? 0.1 What is the smallest value in 103264, 0.1, -2/11, -0.2, -2, 0.4? -2 What is the second biggest value in 131063, 1, -98? 1 What is the biggest value in -0.5, 8, -25.695, -2, 2/9, 0.2? 8 Which is the third smallest value? (a) 0.7 (b) 12 (c) 0.08 (d) 2 (e) -1 (f) -73 (g) 0.3 c What is the third smallest value in 1/67, 15, -4/11, 0.03? 0.03 What is the second biggest value in -3/4, -3, -1/3, -2/333, 3, -24/7, 0.02? 0.02 Which is the smallest value? (a) -1.813 (b) -2 (c) -20 (d) -0.14 c What is the biggest value in -1.9, -7, -2, -1/8, 4, -23/2? 4 What is the third smallest value in 4, -0.12, 9, 0.28, -2, 5.8? 0.28 Which is the third smallest value? (a) -0.71 (b) -0.293 (c) 464 (d) 5 d Which is the second smallest value? (a) -0.5 (b) 4 (c) 49 (d) -1 (e) 5 (f) -15/76 a What is the third biggest value in -4, 17, 3, -51, 2, -1.6, 1/4? 2 Which is the fourth biggest value? (a) -13 (b) -67 (c) -2 (d) 146 (e) -4 (f) -1/6 e Which is the fifth smallest value? (a) -1/96 (b) -2 (c) -3/7 (d) -1 (e) 1 (f) -8 (g) -1/2 c Which is the biggest value? (a) 287 (b) -0.2 (c) 0 (d) 28666.3 (e) 1 d Which is the smallest value? (a) 1/1312 (b) 420 (c) -2/23 (d) 2/3 c What is the third smallest value in -1467.2, 162, -2/9? 162 Which is the fifth biggest value? (a) 12 (b) -0.06 (c) -15/4 (d) -4 (e) -8 (f) 0 d What is the third biggest value in -0.3, 104, 0.3, 74, 3, -0.4? 3 What is the third smallest value in 4, 0.2, -0.3, 3721.6, -15? 0.2 Which is the seventh biggest value? (a) 0 (b) 0.2 (c) -1 (d) -1/857 (e) -0.103 (f) 3/7 (g) -2/15 c Which is the fourth smallest value? (a) 59.9 (b) 0.3 (c) -12 (d) 1/5 a What is the sixth biggest value in -30/19, 8, -0.3, 2, 2250, 5? -30/19 Which is the second biggest value? (a) 27/6806 (b) 2 (c) 20 b What is the second biggest value in 5, 67, 1, -3, -1/1782, -5? 5 Which is the fourth smallest value? (a) -0.06 (b) -9 (c) 248.5 (d) -8/41 (e) -1 a What is the smallest value in 1/7, 2/3, -3, -1, -209, 1, 1450? -209 What is the fifth biggest value in 16/23, -1/4, -3, 0.139, -0.8? -3 Which is the sixth smallest value? (a) -2/13 (b) 17 (c) 5 (d) 32 (e) -1.7 (f) -2/19 d Which is the second biggest value? (a) -3.4 (b) -10.9 (c) 1/3 (d) 0.2843 d What is the seventh smallest value in 77/3, 69, 0.2, -6, -0.3, 1, -3? 69 Which is the biggest value? (a) -2983 (b) 3007/6 (c) 0 b Which is the third smallest value? (a) -0.0291 (b) -3 (c) 1/4 (d) 4/3 (e) -771 (f) 2 (g) 4 a What is the biggest value in -4/5, 1, -1/5, 252? 252 Which is the third biggest value? (a) -1/8 (b) -3/82 (c) -4 (d) -5 c What is the fourth smallest value in 5/2, 1/412, -1, -4, 0.3, 0.224, -1/3? 1/412 Which is the second smallest value? (a) 2/2411 (b) -1 (c) -20 b What is the fifth smallest value in -2, -20, -579, 0.3, 2/5, -8/11, -1? -8/11 Which is the fifth biggest value? (a) 1495 (b) 4 (c) 3 (d) 91/20 (e) 3/4 e What is the second smallest value in 1/2, 5205, -1/2, 3547? 1/2 What is the seventh smallest value in -3/2, 13, -5, 19, -0.2, 0.4, -2.6? 19 Which is the sixth biggest value? (a) 3 (b) -0.2 (c) 2/7 (d) -0.22 (e) -102 (f) -0.5 (g) 2/31 f What is the second smallest value in 5/3, 10709, 0.2, 4, 2/1279? 0.2 What is the second biggest value in 1, 76/16851, -2? 76/16851 What is the second smallest value in 54, 2/483, 3, -1103? 2/483 Which is the fifth smallest value? (a) 2/21 (b) -1/3 (c) -0.1 (d) -15/67 (e) 0.2 (f) 3/8 e What is the fifth biggest value in 2, 0.0272, -0.4, 2/71, -0.6? -0.6 What is the smallest value in -9.148, 9/4, -4, -4/17? -9.148 Which is the fourth smallest value? (a) 0.916 (b) 2/3 (c) 0.3 (d) 8 (e) 4/3 (f) -29 (g) -0.5 b Which is the fifth biggest value? (a) -2 (b) -1/3 (c) 1/13 (d) -340 (e) -152 d What is the second biggest value in -9118, 0.2, -1/139, -0.1? -1/139 Which is the third smallest value? (a
{ "pile_set_name": "DM Mathematics" }
281? 191556 Sum 186 and -269878. -269692 Subtract -0.39 from 3063.26636. 3063.65636 Add together 25 and -36172300. -36172275 Subtract 1.01 from 8072.8. 8071.79 Calculate -5 - 56.081771. -61.081771 Subtract 66202248 from -125. -66202373 -0.709+-839.2 -839.909 -0.08449 + 11660 11659.91551 What is -448197076.48 minus -0.5? -448197075.98 Subtract 51988380 from -82. -51988462 What is -0.0402 + 34381? 34380.9598 What is the difference between 0.3841 and 546490? 546489.6159 What is -6.35 minus -503285? 503278.65 What is -8.4 less than -115026? -115017.6 What is 2 + -838.22384? -836.22384 Subtract -2097709 from 25. 2097734 Sum -3 and 0.006273. -2.993727 Sum -12594909 and -0.2. -12594909.2 Work out 4896547.2 + 0.03. 4896547.23 -7426 + -990 -8416 Add together 12029119 and -170. 12028949 Add together -49.55575 and 28. -21.55575 Add 25920 and 72.3762. 25992.3762 What is the distance between -1127406 and -4318? 1123088 Add -4877 and -1137589. -1142466 Put together -15397 and 0.67801. -15396.32199 Subtract 5213016 from -1030. -5214046 0.3138281256 + -0.27 0.0438281256 Total of 3408.5165 and -0.01. 3408.5065 Sum -8263365 and 0.2. -8263364.8 Calculate -2 - 3816458367. -3816458369 -1.5+279332.2 279330.7 What is -0.275907 less than 0.643? 0.918907 Subtract -92.4067 from 495. 587.4067 What is 9006831 plus 0.2? 9006831.2 What is -1372.0458 minus 3? -1375.0458 0.7041+-870 -869.2959 -5540 - -97787 92247 What is the difference between 4264.489 and -7? 4271.489 What is -0.343 minus 16436635? -16436635.343 -1336943 + -0.59 -1336943.59 What is the distance between -5 and -2.828351? 2.171649 What is -0.60809782 + 7? 6.39190218 What is 47999.725 less than 15? -47984.725 What is -44666 + 1.921? -44664.079 What is 580 plus -54452051? -54451471 Sum -0.17 and -1143.26889. -1143.43889 Work out 327.9730001 + -9. 318.9730001 Add 71057113 and 0. 71057113 Add 0.357 and -10364.5587. -10364.2017 What is 2.05 plus 30381? 30383.05 What is the distance between 0.415069 and -3.53? 3.945069 -191 - -0.14445 -190.85555 What is -1.99945 take away 7795.4? -7797.39945 -0.0752 - 0.0489236 -0.1241236 Total of -0.1454144 and -13458. -13458.1454144 Calculate -86 + 1175.2. 1089.2 Add together -558 and 7119238. 7118680 Work out 5730 - -22.308. 5752.308 Calculate 1 + -32079.3912. -32078.3912 Sum 2192 and -497201. -495009 Total of 35.66 and -10931. -10895.34 What is -10005663412 less than -4? 10005663408 Work out 1.68 - 645.309. -643.629 What is -28.6 minus -0.34101303? -28.25898697 What is -0.5 less than 252635223? 252635223.5 Total of -10.0353 and 98. 87.9647 Work out 2386205 - 46. 2386159 Work out -0.042 + 66069.3. 66069.258 What is 121 minus -6441.19? 6562.19 Work out -197816 + -2.614. -197818.614 What is 2686.6 - 0.5083? 2686.0917 Sum -0.5 and 41194430. 41194429.5 3261.05 + 4.7822 3265.8322 Total of -13537 and 4186.2. -9350.8 33306 + 11185 44491 Work out 1814056655 - 3. 1814056652 Work out 38250999 - -0.0551. 38250999.0551 Calculate -27613.025 + -1288. -28901.025 Work out 12730 + -0.10526. 12729.89474 -71+5628852 5628781 Add -1650 and 909. -741 Calculate -46404 + -279. -46683 15 + 0.6811803 15.6811803 32946353 + 9 32946362 What is -74.11 + 1610? 1535.89 What is the distance between 33166460.25 and -0.2? 33166460.45 What is -7117147 + 0.4? -7117146.6 What is -1 minus 90.4062032? -91.4062032 Total of -647777.79 and 0. -647777.79 What is 3.352939622 - 0.06? 3.292939622 What is the distance between -20842.62 and -0.2? 20842.42 What is 3 + -4241544? -4241541 Total of -0.55227 and 40050. 40049.44773 What is the distance between 112628 and 53.152? 112574.848 What is 0.4 minus 154052314? -154052313.6 What is the distance between 0.3 and -42523199? 42523199.3 What is -0.98181818 less than -5? -4.01818182 Subtract 18 from -164763. -164781 Total of -0.189 and 68662.6. 68662.411 -268+-166763166 -166763434 Calculate -0.3 - 698858.249. -698858.549 What is -8.41341841 minus 0? -8.41341841 Put together 215 and -0.06793. 214.93207 Add -13.44 and 1254.6. 1241.16 What is 0.1 less than 704097168? 704097167.9 Put together 76283.2741 and 12. 76295.2741 Add together 2707 and 8538. 11245 0+0.04628772 0.04628772 Calculate 965.1 + 159. 1124.1 What is 6575 + -3985148? -3978573 Put together -4113985 and 0.085. -4113984.915 Work out -873927 + -0.58. -873927.58 What is 1.1 + 9.48371? 10.58371 Calculate 238 + 0.8776. 238.8776 What is -18598 - 1336031? -1354629 637528 - 2.6 637525.4 Add together 13.5 and 4.153. 17.653 -138797+-27 -138824 0.1 - -4460346337 4460346337.1 Add 390.8 and 7403. 7793.8 Work out -118120995 - 0.056. -118120995.056 Calculate -1698670249 - -39. -1698670210 Add together -465799 and 13. -465786 What is the difference between -4.16439 and 2.931? 7.09539 Work out -4 + -1379455.9. -1379459.9 Calculate -95 + 21106. 21011 Work out -0.4 - -0.0539091. -0.3460909 What is 895 plus 0.84352? 895.84352 Work out -196993174 + -7. -196993181 Work out -9594 + 4.286. -9589.714 What is 4 take away 3342897860? -3342897856 What is 789 plus 780196? 780985 What is the distance between 76881020 and -342? 76881362 Subtract 2772 from 4658. 1886 What is 1521 minus 3473601? -3472080 -342556786 + -0.53 -342556786.53 Work out 3.451 + -156. -152.549 What is 0.0843 minus 4.2985011? -4.2142011 What is -0.5 minus -45634577? 45634576.5 Total of -861823858 and 50. -861823808 Work out 5 + -1135.0504. -1130.0504 -0.3 - 124499907 -124499907.3 What is 873570674 + -62? 873570612 -4067 - -6662920 6658853 -1.1070450561 - 3 -4.1070450561 Add -5 and -21.61944. -26.61944 Add -0.1 and 0.16488246. 0.06488246 What is -0.96 minus 85440? -85440.96 What is 2765.415 - 254? 2511.415 Add together -1767.551 and 7. -1760.551 Add 15 and 397.50177. 412.50177 What is -0.8 + -3091244? -3091244.8 42.05863879+0.1 42.15863879 What is 46.205 minus 840? -793.795 Put together -1527601874 and 0.3. -1527601873.7 Work out -465 - 2.9114. -467.9114 -8097 + -62.37 -8159.37 What is the difference between 851.842 and 0.4? 851.442 What is 104048839 minus 29? 104048810 What is -0.3 minus 18.352585? -18.652585 Calculate 25571193 - -0.3. 25571193.3 Work out 0.2 + -220.8132513. -220.6132513 What is -15.405 + -5644? -5659.405 Work out 7.22 + 8358. 8365.22 Work out 14484281 + 59. 14484340 What is 10590 + -0.03868? 10589.96132 Calculate 563.100865 + -0.4. 562.700865 Work out 11 + -0.103677636. 10.896322364 Calculate 0.0645734661 - 0.07. -0.0054265339 0.4 + -0.1720817259 0.2279182741 14 - -0.023514167 14.023514167 What is -1089203 minus -442? -1088761 What is 15.2 take away 0.042265? 15.157735 What is the difference between -5 and -20.594432862? 15.594432862 Calculate -0.088 - -5783.3. 5783.212 Add together 20239.26 and 2.3. 20241.56 What is 0.2669 take away -99.0522? 99.3191 What is the distance between 0.39 and 219540? 219539.61 Total of -234.93 and -854555. -854789.93 Work out -4 + -4333516. -4333520 Put together 320733345 and -5. 320733340 What is the difference between -614305 and -0.5? 614304.5 What is 0.0692 - -184.02335? 184.09255 Calculate -2507.543 - -39.9. -2467.643 Sum 22830392 and 0.575. 22830392.575 What is -85 take away -4.414419? -80.585581 What is 27464820 less than 0.44? -27464819.56 Work out 0.6 - 2312.2. -2311.6 -23.64954+-29.3 -52.94954 What is the distance between 24512 and -297.35? 24809.35 Work out 97 - 46408934.6. -46408837.6 Add together 2501341200 and 3. 2501341203 Add together -0.1 and -7431463628. -7431463628.1 Total of -5 and -17220.869. -17225.869 What is -573 - -10254683? 10254110 Add 1424 and 69172. 70596 What is the distance between 54490488360 and -0.4? 54490488360.4 What is -0.5 less than -927922425? -927922424.5 What is 4.84506 - 0.284? 4.56106 Add -39 and 0.0607752. -38.9392248 What is -4 plus -76.08137376? -80.08137376 Add together -4.614809677 and 15. 10.385190323 What is 233 less than 1259362? 1259129 -0.8638 - 2.051123 -2.914923 What is -0.5664 less than 11822? 11822.5664 Total of 508673 and -9.5. 508663.5 What is -4 less than -0.56627122? 3.43372878 Add together -84 and -11620662. -11620746 What is 477856 less than -421? -478277 What is 0.3 plus 265999328? 265999328.3 What is 0.01 less than 3145006638? 3145006637.99 Subtract -26840 from -3439. 23401 Add 19798.5812 and -0.44. 19798.1412 Calculate -4.84 - 0.027554. -4.867554 Add together -158
{ "pile_set_name": "DM Mathematics" }
4/3*k**w + 1/3*k. k*(k + 1)**4/3 Let n be (-96)/12*(-1)/2. Let b(h) be the first derivative of 3/4*h**n - 2/5*h**5 - 2 - 1/3*h**3 + 0*h + 0*h**2. Factor b(s). -s**2*(s - 1)*(2*s - 1) Factor 2/3 - 2/9*i**5 + 22/9*i + 4/3*i**3 + 28/9*i**2 - 2/9*i**4. -2*(i - 3)*(i + 1)**4/9 Let o(b) be the third derivative of -7*b**6/15 - 41*b**5/30 + 7*b**4/3 - 4*b**3/3 - 25*b**2. Solve o(x) = 0 for x. -2, 1/4, 2/7 Let y(s) be the third derivative of s**8/10080 + s**7/1890 + s**6/1080 + s**4/4 - 2*s**2. Let u(r) be the second derivative of y(r). Factor u(x). 2*x*(x + 1)**2/3 Let w be 1/(-2)*(-1 - 1). Let t be w/(-1) - (2 + -5). Let -2*v**t - v + 3*v + 2*v = 0. What is v? 0, 2 Let a be (-1)/(6/24*-10). Solve -a*u**2 + 2/5*u - 2/5*u**3 + 2/5 = 0 for u. -1, 1 Let f(z) = -z**3 + z**2 - z. Let y(j) = 2*j**4 + 8*j**3 + 2*j - 1. Let k = -5 + 6. Let x(d) = k*y(d) + 3*f(d). Factor x(h). (h + 1)**3*(2*h - 1) Let w(z) be the first derivative of -7*z**4 + 64*z**3/3 - 8*z**2 + 23. Factor w(o). -4*o*(o - 2)*(7*o - 2) Let t(w) be the third derivative of -w**8/5880 + w**6/420 + w**5/210 - w**3/6 + 2*w**2. Let z(l) be the first derivative of t(l). Factor z(r). -2*r*(r - 2)*(r + 1)**2/7 Let z(x) be the first derivative of -x**4/16 - x**3/12 + x**2/8 + x/4 + 1. What is a in z(a) = 0? -1, 1 Suppose 20*d = -64*d. Factor 0 + 7/5*o**5 + 2/5*o**2 - 12/5*o**4 + 3/5*o**3 + d*o. o**2*(o - 1)**2*(7*o + 2)/5 Let 16/5*s - 4/5 - 12/5*s**2 = 0. Calculate s. 1/3, 1 Let o(n) be the third derivative of -n**6/120 - n**5/60 + n**4/4 - 7*n**2. Let h be o(-3). Let -1/2*r + 1/2*r**3 + h*r**2 + 1/4*r**4 - 1/4 = 0. What is r? -1, 1 Let s(l) be the first derivative of -3*l**5/10 + 9*l**4/8 - l**3 - 6. Factor s(x). -3*x**2*(x - 2)*(x - 1)/2 Let m(f) = -f**3 + 6*f**2 + 7*f. Let u be m(7). Factor -2*z**2 + 2*z - 4 - z**3 + 6 - z**3 + u*z**3. -2*(z - 1)*(z + 1)**2 Let m be (-15 + 17)/((45/4)/9). Factor -m*t - 36/5*t**3 + 0 + 44/5*t**2. -4*t*(t - 1)*(9*t - 2)/5 Suppose 0 = -0*g - 6*g. Let l(v) be the second derivative of 1/120*v**6 + 1/12*v**3 + 0*v**5 + 0*v**2 - 1/16*v**4 + g + 2*v. Solve l(m) = 0 for m. -2, 0, 1 Find j, given that 6/5 + 9/5*j - 3*j**2 = 0. -2/5, 1 Let t(n) be the second derivative of -n**6/135 + n**4/27 - n**2/9 + 2*n. Solve t(u) = 0. -1, 1 Factor -u**2 + u + 2*u - 2*u. -u*(u - 1) Let y = -29 - -41. Suppose -4*d = 5*v - 9 - 9, -v = 5*d - y. Factor 3*n - n**2 - 3*n + 2*n + 0*n**v. -n*(n - 2) Factor 1 + 1 + t**2 + 4*t - 3*t + 2*t. (t + 1)*(t + 2) Let m(g) be the second derivative of g**2 + 0 - 2*g + 2/3*g**3 + 1/6*g**4. Factor m(s). 2*(s + 1)**2 Find y such that 1/2*y**2 - 1/2*y**3 + 0*y + 0 = 0. 0, 1 Let j(g) be the first derivative of -1/2*g**3 + 3/4*g**2 - 3/8*g**4 - 4 + 3/2*g. Let j(w) = 0. What is w? -1, 1 Suppose -2*m + 34 = 2*d + 14, -36 = -3*m - 5*d. Let j(u) = -3*u + 13. Let a be j(3). Factor -2*l**4 + 3*l - m*l - 5*l**3 - 8*l**2 + l**a. -l*(l + 1)*(l + 2)**2 What is c in 0*c**3 - 1/3*c - 1/6*c**4 + 0 + 1/2*c**2 = 0? -2, 0, 1 Let p be 54/10 + 1 + -25 + 23. Factor -6/5*f**5 + 18/5*f**2 - 6*f**3 + p*f**4 + 0 - 4/5*f. -2*f*(f - 1)**3*(3*f - 2)/5 Let p(b) = -b**5 + b**4 + b**3 - b**2 - 7. Let y(n) be the second derivative of -n**2/2 - 4*n. Let z(c) = -2*p(c) + 14*y(c). Factor z(h). 2*h**2*(h - 1)**2*(h + 1) Let o(m) be the first derivative of -5*m**3 - 3/5*m**5 + 0*m + 3*m**2 + 3*m**4 + 1. Factor o(b). -3*b*(b - 2)*(b - 1)**2 Let a(j) = 7*j**3 - 5*j**2 - 4*j. Let f = -23 + 16. Let z(b) = 13*b**3 - 9*b**2 - 7*b. Let p(t) = f*a(t) + 4*z(t). Factor p(k). k**2*(3*k - 1) Let h(t) be the second derivative of 3*t**5/20 - t**4/2 - t**3/2 + 3*t**2 - 3*t. Find d such that h(d) = 0. -1, 1, 2 Factor -4 - 2 - r**2 + 2 + 3*r**2 - 2*r. 2*(r - 2)*(r + 1) Suppose 2*m + 4*u = 14, -3*m + 2*u = -5*m + 10. Let i(x) be the second derivative of 1/18*x**4 - 1/60*x**5 + 0*x**2 + 0 - 4*x - 1/18*x**m. Factor i(c). -c*(c - 1)**2/3 Let u be ((-36)/8 + 5)/2. Factor 1/4*l**3 + 0*l**2 - u*l + 0. l*(l - 1)*(l + 1)/4 Let p be 4*(388/(-56) + 5 - -2). Factor -2/7*z**2 + 0 + p*z. -2*z*(z - 1)/7 Suppose 18*h - 19*h + 2 = 0. Determine z, given that -27/2*z**h - 81/2 + 81/2*z + 3/2*z**3 = 0. 3 Let k(x) = -5*x**4 + 15*x**3 - 23*x + 3. Let z(o) = -35*o**4 + 105*o**3 - 160*o + 20. Let h(c) = 20*k(c) - 3*z(c). What is s in h(s) = 0? -1, 0, 2 Let h(t) = -t**2 - 4*t - 2. Let y be h(-3). Let a be (-35)/(-25) + y*-1. Factor -a*c**2 + 4/5 + 2/5*c. -2*(c - 2)*(c + 1)/5 Let p(a) be the first derivative of -3*a**4/4 - 6*a**3 + 96*a - 48. Solve p(u) = 0 for u. -4, 2 Let y(o) be the third derivative of -o**5/180 + 6*o**2. Factor y(s). -s**2/3 Let p(x) be the third derivative of -x**7/525 + x**6/150 - x**4/30 + x**3/15 - 10*x**2. Factor p(a). -2*(a - 1)**3*(a + 1)/5 Let i(z) = z**2 - 3*z + 2. Let a be i(3). Factor -6*m - 5*m - m**a + 12*m. -m*(m - 1) Let d(o) = -3*o**2 - 7*o - 9. Let l(y) = y**2 + 3*y + 4. Let m = 11 - 16. Let p(r) = m*l(r) - 2*d(r). Factor p(f). (f - 2)*(f + 1) Let s(p) be the third derivative of -p**5/15 - p**4/4 - p**3 - 4*p**2. Let r(o) = 3*o**2 + 6*o + 7. Let y(d) = -5*r(d) - 6*s(d). Suppose y(v) = 0. What is v? -1/3 Find x, given that 2/7*x**4 - 10/7*x**2 + 6/7*x + 2/7*x**3 + 0 = 0. -3, 0, 1 Suppose 0 = k + 2*u + 6, -16 = 3*u - 4. Let x be (-6)/(-1)*(-6)/(-60). Factor -3/5*f**k + 0 + 3/5*f**4 - 3/5*f + x*f**3. 3*f*(f - 1)*(f + 1)**2/5 Let n(b) be the third derivative of -5*b**8/336 + b**7/21 - b**6/24 + b**2. Factor n(j). -5*j**3*(j - 1)**2 Let j be ((-6)/(-4))/((-3)/(-6)). Let g(a) = 5*a**3 + a**2 - 6*a - 8. Let m(z) = -2*z**3 + 2*z + 3. Let d(f) = j*g(f) + 8*m(f). Determine p so that d(p) = 0. 0, 1, 2 Suppose -122 = -5*m + 2*k, 2*m + 5*k = -2*m + 91. Solve -4*d + 22*d**4 - m*d**4 + 2 + 2*d**3 + 2*d**3 = 0 for d. -1, 1 Let t be 2/(-12) + 38/12. Factor 0*w**2 + 6*w**2 + w**3 - 3*w + 0*w**2 - 4*w**t. -3*w*(w - 1)**2 Let u be 4/28 - (-137)/21. Factor -2*r**5 - 2/3*r + 0 - 8*r**3 - 4*r**2 - u*r**4. -2*r*(r + 1)**3*(3*r + 1)/3 Let x = -791/4 - -198. Solve 0 - 1/4*o**3 + x*o + 0*o**2 = 0. -1, 0, 1 Let q(b) = -b**3 + b**2 + b + 1. Let g(h) = -2*h**3 + 10*h**2 + 18*h + 12. Let x(l) = -g(l) + 3*q(l). Factor x(s). -(s + 1)*(s + 3)**2 Let f = 4 - -10. Suppose f = 5*n - 1. Factor -o**3 - 2*o**n + 2*o**3 + 0*o**4 + o**2 - 2*o**4. -o**2*(o + 1)*(2*o - 1) Let q(y) be the second derivative of -169*y**5/50 + 221*y**4/30 - 56*y**3/15 + 4*y**2/5 - 14*y. Determine t, given that q(t) = 0. 2/13, 1 Let c be (14/8 - 2)*9/(-2). Let d(f) be the first derivative of 1/4*f**4 + 3 - 3/5*f**5 + 5/24*f**6 + 5/6*f**3 - c*f**2 + 1/2*f. Find u, given that d(u) = 0. -1, 2/5, 1 Let u(p) be the second derivative of p**7/1050 + p**6/200 + p**5/150 - 3*p**2/2 - 5*p. Let m(z) be the first derivative of u(z). Factor m(f). f**2*(f + 1)*(f + 2)/5 Factor 0*z**3 + 0 + 0*z + 0*z**2 - 1/4*z**5 - 1/4*z**4. -z**4*(z + 1)/4 Let t(o) = -8*o**4 - 16*o**3 + 13*o**2 + 21*o - 5. Let v(z) = 4*z**4 + 8*z**3 - 7*z**2 - 11*z + 3. Let f(m) = 3*t(m) + 5*v(m). Solve f(h) = 0 for h. -2, -1, 0, 1 Let d(o) be the second derivative of 0 - 1/3*o**3 + 3*o + 0*o**4 + 0*o**2 + 1/10*o**5. Factor d(h). 2*h*(h - 1)*(h + 1) Let y = -855 - -4282/5. Let h be (-32)/(-14) + 2/(-7). Let 2/5*j + 0 - y*j**5 - 19/5*j**4 - 1/5*j**h - 3*j**3 = 0. What is j? -1, 0, 2/7 Factor 1/5*c**3 - 2/5*c**2 + 0 + 0*c. c**2*(c - 2)/5 Let o(i) = -9*i**2 + 4*i - 7. Let h(l) be the first derivative of 5*l**3/3 - l**2 + 4*l - 3. Let f(a) = 7*h(a) + 4*o(a). Factor f(w). -w*(w - 2) Let q = -61 + 306/5. Let v(t) be the first derivative of -3 - 2/15*t**3 + 1/10*t**2 + q*t. Determine j, given that v(j) = 0. -1/2, 1 Let r(w) be the second derivative of -w**4/60 - 7*w**3/30 - w**2 - 14*w. Factor r(p). -(p + 2)*(p + 5)/5 Let h be 22/(-6) + (-5)/15. Let w(l) = l + 8. Let g be w(h). Factor -8*f + g*f**2 + 2*f + 2 - 3*f. (f - 2)*(4*f - 1) Let t be 2 - 2/(-1 + -1). Factor 0*w**2 + 2*w**2 - t*w**2 + 1. -(w - 1)*(w + 1) Let g(c) = -4*c**2 + 3 + 0*c**3 - c**3 + 0*c**3. Let i be g(-4). Solve -m**2 - 3/2*m + m**i - 1/2 + 3/2*m**4 + 1/2*m**5 = 0. -1, 1 Let i(m) = -m**2 + 11*m - 8. Let o be i(10). Suppose -o*g = 2*q - 32, 4*q - 78 = -5*g - 16. Factor 3*j - 12*j**3 + j - 3 - q*j**2 - 3*j**4 - 16*j. -3*(j + 1)**4 Let b(j) be the second derivative of j**6/660 + j**5/110 + j**4/66 - j**2/2 - 3*j. Let r(d) be the first derivative of b(d
{ "pile_set_name": "DM Mathematics" }
nder when g is divided by i. 53 Let y(g) be the third derivative of 0*g**5 + 1/8*g**4 + 0 + 1/120*g**6 + 0*g - 1/6*g**3 + 30*g**2. Calculate the remainder when 136 is divided by y(3). 31 Let s(y) = 136*y**2 - 69*y - 5. What is the remainder when s(-6) is divided by 177? 172 Let m(c) = c**3 + 2*c**2 - 19*c - 11. Let v be m(-7). Calculate the remainder when 285 is divided by v*((-25)/3 - -8). 39 Suppose -345 = 16*b - 41*b + 130. Suppose 22 = -4*m + 302. What is the remainder when m is divided by b? 13 Let d(r) be the first derivative of 22*r**3/3 - r**2/2 - r - 7. Let x be 0 - 1 - ((-40)/(-10))/(-2). What is the remainder when 77 is divided by d(x)? 17 Let z(l) = -67*l**2 - 2*l - 2. Let j be z(-1). Let i = -49 - j. Calculate the remainder when (i/(-9) - 56/(-6))*12 is divided by 23. 19 Suppose -5*v - 2 + 12 = 0. Suppose v*m - 17 = -x, -7*x - 4*m = -2*x - 97. Calculate the remainder when 2121/35 + (2 - 13/5) is divided by x. 18 Suppose 147*b + 138*b - 6028 - 7367 = 0. Calculate the remainder when 307 is divided by b. 25 Let z(c) = c + 17. Let p be z(0). Suppose 13*w = -8*w + 2751. Suppose -2*a + w + p = 4*n, 4*n = -a + 82. Calculate the remainder when a is divided by 23. 20 Let x = 382 + -337. Suppose x*b - 46*b + 72 = 0. Calculate the remainder when b is divided by 40. 32 Suppose 0 = 5*s + f - 85, -40*f - 49 = -4*s - 37*f. What is the remainder when 2111 is divided by s? 15 Let i(u) be the first derivative of 7*u**2 + 113*u - 114. What is the remainder when i(-7) is divided by 11? 4 Let g(z) = 103*z - 566. What is the remainder when g(10) is divided by 39? 35 Let v(d) = -2*d**2 + 55*d + 152. What is the remainder when 1109 is divided by v(30)? 1 What is the remainder when 6/10 - -58*1266/20 is divided by 105? 102 Let t = 339 - 336. Suppose 3*y + 5*r = -68 + 483, r + 439 = t*y. What is the remainder when y is divided by 49? 47 Let b = -3422 - -3469. What is the remainder when 1455 is divided by b? 45 Let t(j) = 2*j + 161. Let b be t(-34). Suppose -46 = -2*z + 4*c, 4*z + c - b = -z. Calculate the remainder when 141 is divided by z. 8 Suppose 73 = 22*y - 15. Suppose -3*r + k = -57, y*r - 86 = -6*k + 4*k. Calculate the remainder when 79 is divided by r. 19 Suppose -2*v + 52 = 4*d - 2*d, 5*d = 25. Let l = -17 + v. Let z = l - -8. What is the remainder when 69 is divided by z? 9 Suppose -17 = -2*u - 0*g - g, -9 = -3*g. Suppose 17 = v - d, 0*v = v - 3*d - u. What is the remainder when 106 is divided by v? 18 Calculate the remainder when (-1092475)/(-979) + (1/(-4))/((-44)/16) is divided by 123. 9 Suppose 0 = 4*g + 2*t - 5378, 5*t - 8709 + 1999 = -5*g. Calculate the remainder when g is divided by 447. 6 Let d = -80 - -82. Suppose -3*s - 98 + 140 = 0. Calculate the remainder when (41/2)/((-15)/(-6) - d) is divided by s. 13 Suppose -5*l = -10*m + 14*m - 2771, 9*m = l - 466. What is the remainder when l is divided by 74? 29 Let t be (12/18)/(2/12). Suppose 7*a - t*a = 5*m - 396, 0 = m - 4*a - 69. What is the remainder when m is divided by 3? 0 Suppose 6*v - 53 = -2*d + 5*v, 0 = -d + v + 25. What is the remainder when 357 is divided by d? 19 Let j(a) = 47*a - 6035. What is the remainder when 913 is divided by j(130)? 13 Let i(z) = 4*z**3 - z**2 - 20. Calculate the remainder when i(4) is divided by 79. 62 Let h = 87 + -62. Suppose 4*c = 6*c + 6*t - 104, -3*c + 233 = -2*t. What is the remainder when c is divided by h? 23 Calculate the remainder when 262 is divided by -15 + (-15)/12*-4 + 251. 21 Suppose 5*j + 8220 = 3*p + 1496, 0 = p + 3*j - 2218. Calculate the remainder when p is divided by 52. 49 Let f = 63 - -43. Let s = 241 - f. What is the remainder when s is divided by 73? 62 Suppose 62 = x - 2*l, 53*x - 6*l - 62 = 52*x. Calculate the remainder when 920 is divided by x. 52 Let d = 5 - -61. Suppose 10 = -32*s + 30*s, 31 = 4*l + 5*s. What is the remainder when d is divided by l? 10 Suppose 3*k = 4*p + 16496, -4 - 36 = 5*p. Calculate the remainder when k is divided by 11. 10 Let f = 307 - -55. Let q = f - 281. Let l(h) = -h**2 - 11*h - 2. Calculate the remainder when q is divided by l(-8). 15 Let x(u) = 2*u**2 - 6*u - 10. Suppose -2043*c = -2053*c + 370. What is the remainder when x(7) is divided by c? 9 Let g = -11 + 25. Let w = g + -6. Calculate the remainder when (-12)/((-240)/550) - (-3)/2 is divided by w. 5 Let t = -195 - 87. Let a = -114 - t. Calculate the remainder when a is divided by 19. 16 Let a(h) = -3*h**3 + 207*h**2 + 216*h - 309. Calculate the remainder when 716 is divided by a(70). 50 Let p = -33 - 142. What is the remainder when 115 is divided by (26/91)/((-1)/p)? 15 Suppose -75*m + 1877 = -404*m + 119659. Calculate the remainder when m is divided by 101. 55 Let d(y) = 215*y**3 + 2*y - 1. Let g = 1375 - 1355. Calculate the remainder when d(1) is divided by g. 16 Let k(j) = -4*j**3 - 176*j**2 + j + 643. What is the remainder when k(-44) is divided by 75? 74 Let f(i) = 5*i - 369. Calculate the remainder when 88 is divided by f(80). 26 Let c(a) = -6*a - 21. Let n(y) = -12*y - 44. Let h(r) = -5*c(r) + 2*n(r). Calculate the remainder when h(7) is divided by 20. 19 Let m(o) = 5*o**3 + 3*o**2 - 3*o + 4. Let g be m(2). Suppose 5*k + g = 6*k. Let y = -41 + k. Calculate the remainder when y is divided by 2. 1 Let j(h) = 14*h + 16*h - 35*h + 101 + 73. Calculate the remainder when 134 is divided by j(33). 8 What is the remainder when 105 is divided by 4/((-6 - 3)/72*(-1 + 0))? 9 Suppose -3*r - 2*g + 213 = 0, 2*r - 11*g = -6*g + 123. What is the remainder when 273 is divided by r? 66 Let j(c) = -c**2 + 33*c + 22. Let b be j(32). Suppose -2*h + 72 - b = 0. What is the remainder when 88 is divided by h? 7 Let v(g) be the first derivative of 8*g**4 - 5*g**3/3 + 3*g**2 - 2*g + 58. Calculate the remainder when 91 is divided by v(1). 29 Let h be 8/((-112)/(-231))*(-2)/(-3). Suppose -5*x + h = -14, -4*g = -4*x - 172. Let w = 24 + g. Calculate the remainder when w is divided by 7. 2 Let i = -11 - -89. Let k = i - 19. Calculate the remainder when k is divided by 32. 27 Let x = -5695 - -5722. What is the remainder when 384 is divided by x? 6 Suppose 0*g + g + 771 = 5*u, 3*u + g - 469 = 0. Suppose 2*a = -2*v + 4*a - 152, 2*v - a + u = 0. Let l = -50 - v. What is the remainder when 55 is divided by l? 26 Let i(w) = -w**2 + 36*w - 230. Calculate the remainder when 332 is divided by i(14). 20 Suppose 646 = 11*t - 3. Let k = 413 + -184. Calculate the remainder when k is divided by t. 52 Suppose 4*f - 652 = -4*u, -3*f + 10*u = 9*u - 501. Calculate the remainder when 3319 is divided by f. 165 Let y be 1*(-4 + 4)/4. Suppose -3*j + 219 = 3*p, 3*j + y*p = 5*p + 259. What is the remainder when 11 is divided by j/14 - 21/(-49)? 5 Suppose 165*b = -93 + 2568. What is the remainder when 3590 is divided by b? 5 Let c = -174 + 237. Suppose -8*t - c + 1263 = 0. What is the remainder when t is divided by 38? 36 Suppose -5*r + 473 = 2*x, -42*r + 43*r = -2*x + 453. What is the remainder when x is divided by 222? 2 Let r(s) = 1551*s + 586. What is the remainder when r(1) is divided by 356? 1 Suppose -9*l - 45 = -13*h + 8*h, -2*h = 5*l - 18. Calculate the remainder when 38 is divided by h. 2 Let p = -404 - -179. Let o = -130 - p. Let r = o + -87. What is the remainder when 31 is divided by r? 7 Let n(o) = -12*o**3 + 12*o**2 + 68*o + 200. What is the remainder when 2672 is divided by n(-4)? 8 Let y(h) = 76*h - 6693. What is the remainder when 299 is divided by y(90)? 5 Suppose 4*c = -i + 83, -58 = -i + 3*c + 25. Calculate the remainder when i is divided by 4*6 - (-16)/(-48)*-18. 23 Let b = -8 - -11. Let u(n) = 5*n**2 - 8*n + 17. Let v(l) = 4*l**2 - 8*l + 16. Let f(o) = 3*u(o) - 4*v(o). Calculate the remainder when f(4) is divided by b. 0 Let r(z) = 2*z**2 - 77*z + 50. Let x = 182 - 126. What is the remainder when x is divided by r(38)? 8 Suppose -3*j + 0*j - s = -19, -12 = -3*s. Suppose 0 = j*r - 26*m + 21*m - 970, 3*m + 9 = 0. Calculate the remainder when r is divided by 39. 35 Let a(g) = 77*g - 4. Let u be a(1). Suppose -p + 2*p - 2 = 0, 5*p = 3*l + u. Let h = l - -36. Calculate the remainder when 44 is divided by h. 14 Let t = 3548 + -3287. What is the remainder when 270 is divided by t? 9 Let l = 483 - -481. Let v = l - 855. Calculate the remainder when v is divided by 9. 1 Let
{ "pile_set_name": "DM Mathematics" }
*2 - 136*t*z**2 Find the third derivative of -2656*g*y**3 + 3*g*y**2 - 484*y**2 wrt y. -15936*g Find the second derivative of -31*a**2*l**2 + 5*a**2*l + 4*a*l**2 - 3*a wrt l. -62*a**2 + 8*a What is the second derivative of -561*s*z**3 + 21*s*z - s - z**4 + 3*z - 23 wrt z? -3366*s*z - 12*z**2 What is the second derivative of -17*a**4*b**2 - 3*a**3*b**3 + a*b**2 - 17*a - b**3 wrt a? -204*a**2*b**2 - 18*a*b**3 Find the second derivative of j*l*o**3 + 5*j*l*o - 8*j*o**2 + 34*j + 2*l*o + 18*o**4 wrt o. 6*j*l*o - 16*j + 216*o**2 What is the third derivative of -3564*f**5 + 1586*f**2 + 2 wrt f? -213840*f**2 Differentiate -g**3*o**2 + 96*g*o - 41*o**2 wrt g. -3*g**2*o**2 + 96*o Find the third derivative of -9804*s**3 - 13505*s**2. -58824 Differentiate -21*n**2*r + 1035*n**2 + 8*r with respect to r. -21*n**2 + 8 What is the third derivative of -2*f*z**5 + f*z**3 - 7*f*z**2 + 11*f*z - 2*z**5 + 2*z wrt z? -120*f*z**2 + 6*f - 120*z**2 Find the third derivative of 63*l**4 + 2*l**3 - 576*l**2 wrt l. 1512*l + 12 Find the second derivative of 2177*q**4*s**2 - q**2*s**3 - 421*q*s + 4*s**3 wrt q. 26124*q**2*s**2 - 2*s**3 Find the first derivative of 5020*d - 2107 wrt d. 5020 What is the third derivative of -60*j**3*k**3 + 13*j**3*k**2 + 31*j**2*k**2 + 16*j*k**5 wrt k? -360*j**3 + 960*j*k**2 What is the third derivative of -2*t**4*z**3 + 2*t**4 + 8*t**3*z**3 - 10*t**2 - 9*t*z**3 wrt t? -48*t*z**3 + 48*t + 48*z**3 Find the second derivative of -574*g**4 + 445*g wrt g. -6888*g**2 What is the derivative of -9*k**4 + 2*k**3 - 147*k - 11189? -36*k**3 + 6*k**2 - 147 What is the first derivative of 275*c**2*i - 61*c**2*r**3 - c*i*r**4 + 2*c*i - 1 wrt r? -183*c**2*r**2 - 4*c*i*r**3 What is the derivative of 437*n*s + 6*n*w**2 + 15*s*w**4 - 2*s*w**2 wrt w? 12*n*w + 60*s*w**3 - 4*s*w Find the third derivative of -19487*f**6 - 13647*f**2 wrt f. -2338440*f**3 Find the second derivative of -o*r**2 - 9*o*r - 3*o + 598*r**4 + 81*r wrt r. -2*o + 7176*r**2 Differentiate -30*d**3*l*u**3 + d**3*l*u + d**3*u**2 + 5*u**3 + 1 wrt l. -30*d**3*u**3 + d**3*u What is the second derivative of -2*b**3*q**2*u + 4*b**3*u**3 + b**3*u - 3*b**2*q**2*u - 50*b*q*u**3 + 9*q**2*u**3 wrt q? -4*b**3*u - 6*b**2*u + 18*u**3 Find the second derivative of 69*h**4 - 2*h**2 - 5*h - 14. 828*h**2 - 4 What is the second derivative of -3211*u**5 + 4073*u wrt u? -64220*u**3 What is the second derivative of 114*f**2*i**3 + 2*f**2 + i**3 + 198*i wrt i? 684*f**2*i + 6*i What is the second derivative of -244*o*r**2 - 21*o*r - 4*r wrt r? -488*o What is the second derivative of -56*k**3*q + 2*k**2*q**3 + 8*k**2 - 95*k*q + 7*q**3 wrt k? -336*k*q + 4*q**3 + 16 Differentiate 2*i*w*z - 7*i*w - 16131*i*z - 11*w*z + 2*w with respect to w. 2*i*z - 7*i - 11*z + 2 What is the derivative of 190*y**2 + 112 wrt y? 380*y Find the third derivative of 2*q**4*u**3 - 33*q**4*u**2 + 7*q**3 + 5*q**2*u**2 + 4*q**2 + u**3 wrt q. 48*q*u**3 - 792*q*u**2 + 42 Find the third derivative of 37*c**5 + 3*c**3 - 46*c**2 + 3 wrt c. 2220*c**2 + 18 Find the first derivative of -227*i - 494. -227 Differentiate 19*a*c**4 + 4*a*c**3 - 261*a wrt c. 76*a*c**3 + 12*a*c**2 What is the second derivative of -3671*r**2 - 57*r - 4? -7342 What is the second derivative of -173*z**4 + 639*z? -2076*z**2 Find the second derivative of 51*n**3*t**3*v**2 + 9*n**3*t*v**2 - 3*n**3*v**2 + n**3*v - 4*n*t**3*v**2 - n*v**2 wrt t. 306*n**3*t*v**2 - 24*n*t*v**2 What is the third derivative of -9*n*s**3 + 22*n*s - 27*s**5 + s**2 + 2*s wrt s? -54*n - 1620*s**2 Differentiate -12711*z**3 - 13593. -38133*z**2 Find the second derivative of -21*d**2*l**3 + 11*d**2*l*x + 8*d*l**3*x - 2*d*l**3 + 151*d wrt d. -42*l**3 + 22*l*x Find the third derivative of -3*n**2*z**4 - 2*n**2*z**2 - 91*n**2*z - n - z**4 wrt z. -72*n**2*z - 24*z What is the second derivative of 418*p**5 + p - 113? 8360*p**3 What is the third derivative of -9585*n**3 + n**2 + 305*n wrt n? -57510 What is the third derivative of -3399*u**6 - 4236*u**2 wrt u? -407880*u**3 What is the derivative of 2*k*m + 71*k - 26*m**4 wrt m? 2*k - 104*m**3 Find the second derivative of 22929*a**2 - 2523*a + 6. 45858 What is the third derivative of -n**6 - 285*n**3 - 40*n**2 - 16*n wrt n? -120*n**3 - 1710 Find the first derivative of -476*u + 575 wrt u. -476 Differentiate 201*f**3*x**2 + 144*f**3 - f*x**4 + f with respect to x. 402*f**3*x - 4*f*x**3 Find the third derivative of -181*n**2*q**3 + 15*n**2*q**2 + 2*n**2 + q**3 - 4*q**2 wrt q. -1086*n**2 + 6 Find the second derivative of 312*c**2 - 2*c + 93 wrt c. 624 Find the second derivative of 87*i**2*j**3 + 12*i**2 + 3*i*j**5 - 5*i*j - 2*i wrt j. 522*i**2*j + 60*i*j**3 What is the first derivative of -4*i**4 + 5*i**3 - 53 wrt i? -16*i**3 + 15*i**2 Differentiate b*d**3*f*g - 2*b*d**3*f - 24*b*d + 6233*b*f*g - 121*d**3*f with respect to g. b*d**3*f + 6233*b*f What is the third derivative of -2*h**4 - 212*h**3*v**3 + h**2*v**3 - 54*h**2*v**2 + 5*v wrt h? -48*h - 1272*v**3 What is the second derivative of -6*p**2*x**2 + 2*p**2 - p*x**2 - 7*x**2 wrt p? -12*x**2 + 4 Find the third derivative of -i**3*m**3 + 429*i**3*m**2 - 12*i**2*m**3 + 3*i**2*m**2 wrt i. -6*m**3 + 2574*m**2 Differentiate 4*g**3 + 1765*g**2 - 23950 with respect to g. 12*g**2 + 3530*g What is the third derivative of 2*p**5 + 789*p**3 + p**2 + 1710*p - 2 wrt p? 120*p**2 + 4734 What is the second derivative of -131*i**2 + 111*i wrt i? -262 Differentiate -4*k*y**2 - 87*k - 7*y**4 wrt y. -8*k*y - 28*y**3 What is the second derivative of -164*n**2 + 104*n? -328 What is the third derivative of 4442*h*m**3 - 556*h*m - 10*m**2 wrt m? 26652*h What is the first derivative of -2*a**2*l*p - a**2*p - a*l*p - 8*a*l - 29*a*p - 2 wrt l? -2*a**2*p - a*p - 8*a What is the third derivative of -3047*a**4*c - 2*a**2*c - a**2 - 30*a + 4*c wrt a? -73128*a*c Find the second derivative of 17833*g**3 - 1119*g - 2. 106998*g What is the second derivative of 2*o**3*s**4 + 23*o**3*s + 985*s**4 - s - 1 wrt s? 24*o**3*s**2 + 11820*s**2 Find the third derivative of -392*u**3*w - 221*u**2*w - 2*u*w - u wrt u. -2352*w Find the second derivative of -4*c**2*d*m*v**3 - c**2*m**2*v**3 + c*d*m**2*v**2 - 3*d*m**2*v - 18*d*m*v**3 + d wrt c. -8*d*m*v**3 - 2*m**2*v**3 Find the second derivative of -104*i**4*v**3 - 2*i*v**2 - 76*v**3 wrt i. -1248*i**2*v**3 What is the derivative of 1305*v + 615 wrt v? 1305 Find the first derivative of -2*b**3 - b**2*f**3 - 1461*b*f - 9234*f**3 wrt b. -6*b**2 - 2*b*f**3 - 1461*f What is the third derivative of -227*d**3 - 4*d**2 - 2*d wrt d? -1362 What is the derivative of 4*b**2*s + 2*b**2 - 346*b*s - b - 2*s**3 - 1441 wrt s? 4*b**2 - 346*b - 6*s**2 Find the third derivative of -13*s**4 + 78*s**2 wrt s. -312*s Find the first derivative of 12547*c**3 + 19167 wrt c. 37641*c**2 What is the third derivative of -1028*m**4 + 288*m**2? -24672*m Find the second derivative of 23*a**3*l**3 + 87*a**3*l - 3*a**3 - 7*a**2*l**3 - a*l**2 + a*l wrt l. 138*a**3*l - 42*a**2*l - 2*a What is the third derivative of b**2*q*t**3 - 7*b**2*q*t + 4*b**2*q + 21*b**2*t**3 + 3*b**2*t**2 + b*q*t**3 wrt t? 6*b**2*q + 126*b**2 + 6*b*q Differentiate 313*y**3 + 343 with respect to y. 939*y**2 What is the derivative of -719*d + 224? -719 What is the second derivative of 8*v**2*z - 14*v**2 - 63*v*z - 3*z wrt v? 16*z - 28 Differentiate 12*f**3*v**3 + 23*f*v**3 - 4*v**3 + 51*v**2 wrt f. 36*f**2*v**3 + 23*v**3 Find the first derivative of 595*c**3*z - 638*c**3 wrt z. 595*c**3 What is the first derivative of -45*k**4 + 26*k**3 - 3003 wrt k? -180*k**3 + 78*k**2 What is the third derivative of -4*k**5 + 351*k**4*z + 1560*k**2*z + k**2 wrt k? -240*k**2 + 8424*k*z What is the third derivative of -b**3*x**2 - 321*b**3 - 6*b**2*x**2 - 131*b**2 - b*x**2 - b wrt b? -6*x**2 - 1926 Find the third derivative of -2*j**5*y - 3*j**5 - j**3*y - 3*j**2*y + 13*j**2 - 2*j wrt j. -120*j**2*y - 180*j**2 - 6*y Find the second derivative of -14*o**4 + 178*o**3 + 20*o - 82. -168*o**2 + 1068*o What is the third derivative of 10507*x**5 + x**2 + 9096? 630420*x**2 Find the second derivative of -4*q**3 - 11*q**2 - 20*q - 6 wrt q. -24*q - 22 Find the second derivative of 261*p**3 - 341*p wrt p. 1566*p What is the first derivative of 2*a**2*k**4 + 7*a**2 + 1003*a*k**4 + 5*a - 16 wrt k? 8*a**2*k**3 +
{ "pile_set_name": "DM Mathematics" }
1398. -1398.307 -26 - -12.4 -13.6 What is 17201 less than 11? -17190 63064+-0.2 63063.8 Work out -2 + -101852. -101854 Work out 5.95 - 1. 4.95 -0.1582+1 0.8418 Sum -12.326 and 16. 3.674 Subtract 1074 from -0.2. -1074.2 Calculate 120878 - -0.9. 120878.9 1 - -30181.28 30182.28 What is -0.2 minus -0.174? -0.026 Put together -211 and 6.9. -204.1 Work out -7.32249 - 4. -11.32249 Work out 0.1353 - 25.7. -25.5647 Put together 872 and 47. 919 -0.5+-44 -44.5 268 + 1.7 269.7 What is 576 plus -0.3? 575.7 -876+-0.7 -876.7 Sum 3075 and 351. 3426 -1366 + 0.31 -1365.69 What is 27589 - -8.5? 27597.5 Calculate -83 - 2.1883. -85.1883 Calculate 3785 - 4. 3781 Put together -0.018615 and -0.4. -0.418615 Calculate 0.045 - 97720. -97719.955 Work out 5.42286 - -1. 6.42286 What is -493 - 87? -580 What is 414.18 minus -23? 437.18 Put together -1.401528 and 3. 1.598472 Calculate -0.2 - 164358. -164358.2 What is the distance between -0.1 and -7409? 7408.9 What is -43.0897 minus 3? -46.0897 Work out -2062.3 - -0.1. -2062.2 Calculate -78914 - 0.5. -78914.5 -0.5+-1.2325 -1.7325 Put together -0.1335157 and -4. -4.1335157 Add together -4 and -0.801. -4.801 What is 7875127 minus 0.1? 7875126.9 3.5 - 16 -12.5 What is -557 + 116? -441 Work out 0.0439 + 10925. 10925.0439 89.76 + -17.4 72.36 Total of -9 and -58. -67 What is -19.2144 take away 0.5? -19.7144 Sum 54602 and -0.078. 54601.922 What is 25209 less than -4? -25213 What is the distance between 0.77 and 0.0437? 0.7263 Sum 273 and -0.7. 272.3 Total of -4.59 and -7. -11.59 -256 + 18 -238 Put together -5 and -0.368. -5.368 What is 70.34 less than 1? -69.34 What is -528 minus 0.13? -528.13 Put together -0.11324 and -18. -18.11324 What is 0.257 - 36? -35.743 What is 13179 + 5? 13184 Put together 31.62 and -0.3. 31.32 Put together -1145 and -2989. -4134 -0.13 - -0.0440383 -0.0859617 What is 91523 take away 2? 91521 Subtract 1040 from -0.151. -1040.151 What is 20663 minus -0.5? 20663.5 Add -0.5 and 0.033651. -0.466349 Sum 79 and 11.589. 90.589 -0.1+-4452 -4452.1 Sum 0.5 and 21015. 21015.5 Total of -57045 and -6. -57051 Add 2 and -0.39. 1.61 What is 25 less than -11.814? -36.814 -38.42 + -12 -50.42 Add together 10 and 1179. 1189 Work out 20 - 0.06. 19.94 Add 0 and -1421. -1421 What is 1.44 take away 0.01? 1.43 What is 180088 minus -9? 180097 Add 0.4 and -50755. -50754.6 What is 3 take away 506? -503 What is 53.655 less than -0.4? -54.055 What is 14707 - -0.163? 14707.163 Calculate -0.1 - -112. 111.9 Total of 136 and -508. -372 What is 20346 less than 0.09? -20345.91 What is -4 minus -1123173? 1123169 Work out 140304 + 0.5. 140304.5 Calculate -0.3 + -175. -175.3 What is -338.1 - -0.8? -337.3 What is -0.4 take away -0.0044? -0.3956 What is -475 minus 61? -536 Sum -1.3 and -5.239. -6.539 What is the difference between 0.81667 and 0.3? 0.51667 Add together 57309 and 3. 57312 What is 0.11161 + -7? -6.88839 What is 0.12278 plus -0.4? -0.27722 110.5+0.028 110.528 Put together 0.06971 and 0.031. 0.10071 What is -0.02 - 381? -381.02 What is 119 take away 4486? -4367 Put together -90189 and -2. -90191 What is 10 - 275? -265 What is 7090 minus -0.1? 7090.1 Sum 3 and -4342.42. -4339.42 Calculate 3 + 262. 265 What is 0.2 + -10405? -10404.8 6.3+58.9 65.2 What is 0.75 - 26? -25.25 Total of -7 and -0.018. -7.018 What is the difference between 0.1 and -7874? 7874.1 Calculate 0.4 + 22.822. 23.222 Sum 0.2 and 6.61. 6.81 Work out -3495 - 1. -3496 Work out 39 - -2371. 2410 46+-7.16 38.84 Add 4 and 254. 258 346516.4+-0.2 346516.2 18.086 + 0.04 18.126 What is 368.8 - 84? 284.8 Work out -6.23 + 0.5. -5.73 1 + -1142406 -1142405 What is -1.364 plus 8? 6.636 Work out 56 + 0.23. 56.23 Add together -2408503 and -1. -2408504 0.229 + -0.54 -0.311 Total of -1095.3108 and 0.4. -1094.9108 Put together 0.216 and -3.4. -3.184 What is -3198 less than -44? 3154 What is 4.9002 minus -0.15? 5.0502 Total of -87.815 and -0.5. -88.315 Calculate 705 - -83. 788 Sum 97 and 812. 909 What is 231 less than 1.1? -229.9 What is the distance between 9 and -0.2338? 9.2338 Work out 17337 + -1.7. 17335.3 What is -21 + -6.9? -27.9 Add together -2300 and 5. -2295 What is the distance between 0.005688 and 0.1? 0.094312 What is 22 less than -24792? -24814 What is -0.5 + -0.905? -1.405 Calculate 0.6 + 212. 212.6 What is 0.07 less than 60.65? 60.58 0.1+298752 298752.1 Add together 15.521 and -10. 5.521 25524+9 25533 Put together 293 and -0.5349. 292.4651 Work out 11 + -947. -936 -2 + 56 54 What is -102 take away -6? -96 Work out -1967.69 + 0.4. -1967.29 -0.14 - 13.994 -14.134 0.14 + -5177 -5176.86 Sum -0.1 and -199. -199.1 Work out -0.3 - 90. -90.3 Total of 0.09 and 4197. 4197.09 Sum -67 and 297. 230 What is -13.4949 minus -0.3? -13.1949 What is 606 plus 438? 1044 Work out -564 + 0.332. -563.668 Work out -0.4 - -24.5243. 24.1243 What is 3629829 plus 0.4? 3629829.4 What is the distance between 5 and 0.09719? 4.90281 What is -15 - -14.5? -0.5 What is -358 - -9588? 9230 Calculate -1021 + 0. -1021 Put together -92079 and 144. -91935 Work out -105 + 689. 584 0 + 4.1 4.1 What is 0.4 plus -14.03673? -13.63673 What is -7958 minus 2? -7960 What is -33 less than -0.031? 32.969 0+-2243089 -2243089 Subtract -24 from 0. 24 2 - 0.002483 1.997517 What is the difference between 0.08823 and -5? 5.08823 Work out -676 - -0.036. -675.964 -2 + -0.0256845 -2.0256845 Total of 1359 and 453. 1812 Work out 0.3 + 28704. 28704.3 Calculate 1.3 + -41620. -41618.7 Add together 0.6 and -50.5. -49.9 Calculate 0.1 + -1503. -1502.9 Put together -0.2 and -5888. -5888.2 What is -6185 take away -0.0391? -6184.9609 What is the distance between 468801 and 1? 468800 Add together -0.1 and 18774. 18773.9 Sum -2840 and -0.01. -2840.01 Put together -90.18 and 618. 527.82 What is 1.3 - 57737? -57735.7 Put together 0 and 157153. 157153 Work out -0.1 + -60917. -60917.1 What is the difference between 24 and -176.14? 200.14 What is the difference between -0.2 and 1812? 1812.2 Work out 2.2 + 2101. 2103.2 What is 17 take away 803? -786 Work out -0.499 + 6.5. 6.001 What is 13.1801 plus 25? 38.1801 What is -5 + -3453? -3458 Work out -5269342 + -0.1. -5269342.1 What is 0.07 + 35.9248? 35.9948 What is the difference between 259755 and 0? 259755 Sum 7490 and 23. 7513 Total of 44 and 55. 99 Work out -0.4 - 0.063. -0.463 What is the difference between -98.12 and -0.1? 98.02 What is 0.25 - 27125? -27124.75 Calculate 0.09 + 5205. 5205.09 What is -585.759 + -0.4? -586.159 288+-9640 -9352 Subtract 96 from 0.15. -95.85 Add 56 and 46.85. 102.85 7.2 - -17 24.2 Add together 10.7 and 396. 406.7 What is the distance between -1.16 and -18? 16.84 Add -1 and 10.688. 9.688 What is 16 less than -228? -244 Subtract -0.2 from -4403. -4402.8 What is -0.1511 minus 0? -0.1511 Add together 24465 and 5. 24470 What is -0.2426 minus 29.8? -30.0426 Work out -570 - 2508. -3078 What is -1522000 take away 5? -1522005 What is 1.15 plus 8405? 8406.15 0.03 + 91.9 91.93 What is 0.016 + -158? -157.984 -14+5.4 -8.6 What is -4 minus 69? -73 Put together 0.083 and 7194. 7194.083 Total of -1 and 5.31931. 4.31931 Add together 3732 and -0.8. 3731.2 Work out -0.079 + 0.07788. -0.00112 Add 627 and -2. 625 Work out -2 + 85.6. 83.6 What is 47 take away -5913? 5960 What is -5.6 plus 0.06? -5.54 Put together -488990 and -7. -488997 What is 1 less than 82152? 82151 What is 2 - 550? -548 What is the distance between 0.07 and -0.059? 0.129 Sum -3.3541 and -5. -8.3541 Calculate -63 + -0.12684. -63.12684 Add together 83.3 and 1049. 1132.3 What is -275.815 plus 0.1? -275.715 -3769 + 0.1 -3768.9 Subtract 0.09 from -120219. -120219.09 What is 1.533 minus 100? -98.467 Work out -289 + 9. -280 Work out 115 - 2. 113 What is -0.09 take away 145? -145.09 What is -49.81 less than -0.2? 49.61 What is 6 - -174? 180 Sum 0.13 and 34. 34.13 What is -0.121 minus 1.2? -1.321 0.0991 - -11 11.0991 What is 0.6 less than 0.02? -0.58 -0.067288+-19 -19.067288 Add together -8 and 4183. 4175 What is the distance between -1.19 and -0.93? 0.26 Total of 126 and 48. 174 Add -74 and 0.125. -73.875 What is -825766 minus 0.4? -825766.4 What is 11.7 - 2.85? 8.85 -0.4 + -15349 -15349.4 Total of -5.3 and -993. -998.3 Calculate -1 + -5356. -5357 What is -9970 plus -5? -9975 Subtract 0 from 306954. 306954 What is the difference be
{ "pile_set_name": "DM Mathematics" }
f -75/1568 and 155/1764? 14112 What is the least common multiple of 90 and 63? 630 What is the smallest common multiple of 88 and 90? 3960 What is the least common multiple of 144 and 18? 144 Calculate the common denominator of -35/64 and -7/8. 64 Calculate the common denominator of 97/20 and 91/6. 60 Find the common denominator of -55/63 and -5/81. 567 Calculate the lowest common multiple of 420 and 49. 2940 What is the lowest common multiple of 886 and 3? 2658 What is the lowest common multiple of 8 and 472? 472 Calculate the common denominator of -51/1333 and 39/31. 1333 What is the common denominator of 1/5 and 7/215? 215 Calculate the smallest common multiple of 24 and 216. 216 What is the least common multiple of 1206 and 11? 13266 Find the common denominator of 8/45 and 53/90. 90 What is the common denominator of 2/3 and -1/90? 90 What is the smallest common multiple of 208 and 26? 208 Find the common denominator of 93/40 and 19/24. 120 Find the common denominator of -67/60 and 29/3555. 14220 What is the smallest common multiple of 88 and 52? 1144 What is the lowest common multiple of 30 and 12? 60 Find the common denominator of -25/18 and 85/162. 162 Calculate the lowest common multiple of 4030 and 50. 20150 Calculate the common denominator of 53/1608 and 139/16482. 65928 Calculate the common denominator of 14/233 and -101/6. 1398 Calculate the least common multiple of 2832 and 12. 2832 Calculate the common denominator of -31/35 and 101/14. 70 What is the common denominator of 71/14 and -43/940? 6580 What is the common denominator of -37/287 and -97/410? 2870 What is the least common multiple of 3136 and 44? 34496 Find the common denominator of -59/8 and 57/203. 1624 Find the common denominator of -79/15780 and -77/10. 15780 Find the common denominator of 2 and 51/67. 67 What is the common denominator of 53/6 and 61/212? 636 Calculate the smallest common multiple of 270 and 135. 270 Calculate the least common multiple of 55 and 960. 10560 What is the common denominator of 50/11673 and 41/10376? 93384 What is the smallest common multiple of 209 and 44? 836 Calculate the least common multiple of 6749 and 102. 40494 What is the common denominator of -2 and 23/141? 141 What is the lowest common multiple of 1263 and 10? 12630 Calculate the common denominator of 111/22 and -99/2. 22 Find the common denominator of -121/40 and -123/220. 440 Calculate the least common multiple of 6 and 304. 912 Calculate the common denominator of 23/30 and -85/156. 780 Find the common denominator of -12/8681 and 71/6. 52086 Find the common denominator of -36/287 and 39/41. 287 Calculate the common denominator of -101/648 and -151/90. 3240 Calculate the least common multiple of 16 and 3300. 13200 Calculate the common denominator of 119/90 and -179/2040. 6120 What is the smallest common multiple of 715 and 20? 2860 What is the smallest common multiple of 5 and 300? 300 Find the common denominator of 83/360 and -53/24. 360 What is the common denominator of 133/360 and -59/80? 720 Calculate the least common multiple of 9 and 9. 9 What is the lowest common multiple of 1166 and 132? 6996 Calculate the common denominator of 23/143 and 59/6. 858 Calculate the lowest common multiple of 231 and 264. 1848 What is the common denominator of -91/36 and -53/12? 36 Calculate the lowest common multiple of 324 and 14. 2268 What is the smallest common multiple of 1728 and 72? 1728 Find the common denominator of -37/59 and -10/7. 413 Calculate the common denominator of -49/32 and 149/150. 2400 Calculate the common denominator of -43/8 and 21/194. 776 What is the least common multiple of 4 and 26? 52 Calculate the common denominator of -20/3 and 24/89. 267 Calculate the least common multiple of 4 and 6. 12 Find the common denominator of -1/28 and -25/12. 84 What is the common denominator of -59/302 and 125/12? 1812 What is the smallest common multiple of 20 and 4? 20 Find the common denominator of 103/230 and -19/391. 3910 Calculate the common denominator of 47/18 and -25/22084. 198756 What is the common denominator of 31/36 and -113/90? 180 What is the least common multiple of 6 and 26? 78 Calculate the least common multiple of 24 and 24. 24 What is the least common multiple of 2109 and 8? 16872 What is the smallest common multiple of 6 and 126? 126 Calculate the least common multiple of 94 and 144. 6768 Find the common denominator of 49/20 and -137/612. 3060 What is the lowest common multiple of 1 and 9? 9 What is the common denominator of 15/5036 and 15/4? 5036 What is the lowest common multiple of 330 and 242? 3630 Find the common denominator of 83/20 and 121/2868. 14340 Find the common denominator of 7 and -51/43. 43 Calculate the least common multiple of 84 and 60. 420 What is the common denominator of 187/450 and -169/2160? 10800 Calculate the lowest common multiple of 144 and 66. 1584 Calculate the smallest common multiple of 11 and 4. 44 Calculate the common denominator of 85/79978 and 17/14. 559846 Calculate the lowest common multiple of 14 and 50. 350 What is the least common multiple of 936 and 247? 17784 Calculate the common denominator of -131/42 and 31/192. 1344 Find the common denominator of -85/504 and -131/756. 1512 What is the least common multiple of 1562 and 1? 1562 Find the common denominator of 67/392 and 103/42. 1176 Calculate the common denominator of -149/2520 and -17/450. 12600 What is the least common multiple of 4332 and 4332? 4332 Find the common denominator of -61/18 and -37/596. 5364 Calculate the least common multiple of 1611 and 21. 11277 Calculate the common denominator of 5/32 and -61/324. 2592 What is the lowest common multiple of 5814 and 119? 40698 Calculate the smallest common multiple of 49 and 196. 196 Calculate the common denominator of 155/552 and 67/20. 2760 Find the common denominator of -55/1864 and -17/64. 14912 What is the least common multiple of 7 and 32? 224 Calculate the common denominator of -107/240 and 11/72. 720 Calculate the lowest common multiple of 3443 and 2504. 27544 What is the common denominator of 103/104 and -37/754? 3016 Calculate the least common multiple of 90 and 590. 5310 Find the common denominator of -137/12 and -80/21. 84 Calculate the smallest common multiple of 2 and 1377. 2754 Calculate the common denominator of -127/1224 and 101/136. 1224 What is the least common multiple of 675 and 4875? 43875 Calculate the smallest common multiple of 1846 and 22. 20306 What is the lowest common multiple of 78 and 351? 702 Calculate the smallest common multiple of 3 and 96. 96 Calculate the lowest common multiple of 9155 and 40. 73240 Calculate the common denominator of 19/8 and 27/184. 184 Find the common denominator of -7/27 and -7/6. 54 What is the smallest common multiple of 843 and 4? 3372 What is the lowest common multiple of 42 and 6? 42 Find the common denominator of 65/6 and 68/15. 30 Find the common denominator of 89/126 and -185/1638. 1638 Find the common denominator of -5/136 and 53/119. 952 Calculate the common denominator of -13/5605 and -64/45. 50445 Calculate the lowest common multiple of 10 and 40. 40 Find the common denominator of 173/2040 and 143/1632. 8160 Calculate the common denominator of -69/10 and -35/83792. 418960 What is the least common multiple of 279 and 3255? 9765 Calculate the least common multiple of 63 and 24. 504 What is the common denominator of -63/1802 and -67/1166? 19822 Calculate the common denominator of 89/1650 and -65/54. 14850 Calculate the common denominator of 11/36 and -121/888. 2664 What is the least common multiple of 170 and 55? 1870 What is the common denominator of 137/138 and -25/6? 138 Calculate the lowest common multiple of 9 and 24. 72 Calculate the common denominator of 4/23 and 18/253. 253 What is the common denominator of 71/96 and 93/14? 672 What is the common denominator of -95/108 and -137/96? 864 Find the common denominator of -13/44 and 19/70. 1540 What is the smallest common multiple of 218 and 2? 218 What is the common denominator of 91/90 and -103/40? 360 What is the lowest common multiple of 256 and 12? 768 Calculate the common denominator of -70/369 and 8/9. 369 Calculate the smallest common multiple of 176 and 112. 1232 What is the common denomina
{ "pile_set_name": "DM Mathematics" }
8). Solve -r = 4*n + 6 for n. -3 Let v be 24/(-4)*(-1)/(-1). Let h = 7 + v. Let t be (-1 + h)/(-3 - -5). Solve -3*l = -t*l + 15 for l. -5 Suppose 4*h = -3*s + 5 + 2, -5*h + 4*s + 32 = 0. Solve h = -r + 6 for r. 2 Suppose 3*v - 16 = -4. Suppose 8 = 4*d - v. Solve d*h - 2 = 1 for h. 1 Let t(w) = w**2 + 1. Let c be t(2). Solve -2*q = -c*q - 6 for q. -2 Suppose 0 = 2*z - 0*z. Solve -3*o + 2 + 1 = z for o. 1 Let t = 4 + -2. Suppose -2*r = -3*r. Solve t*l - 10 = -r for l. 5 Let r(y) = -y - 2. Let h be r(-4). Suppose -5 + 17 = 2*w - 2*j, -4*j - 20 = -h*w. Let a(b) = b. Let p be a(2). Solve w*c = -0*c + p for c. 1 Suppose -4 + 20 = 4*q. Suppose g + 2 = q. Solve -4*v = -g*v + 10 for v. -5 Let h(z) = z + 10. Let i be h(-7). Solve -5 = i*r + 7 for r. -4 Let t(c) = -c**3 - 9*c**2 + 5. Let l be t(-9). Solve -l*d + 4*d = -2 for d. 2 Suppose -80 = -0*h - 4*h. Suppose -h = -5*l + 10. Suppose -m = 2*m - l. Solve 3*u + m = 5*u for u. 1 Let w be ((-133)/57)/((-1)/3). Let h be ((-12)/10)/(6/(-40)). Let x = h - w. Solve -2*d + x = -d for d. 1 Let q(r) = -2*r**3 - 5*r**2 - 3*r - 2. Let x be q(-2). Solve 15 = -5*d - x*d for d. -3 Suppose s + 8 = 10. Solve -s*b = -5*b - 3 for b. -1 Let b be 1/(130/25 + -5). Solve -b*p + 31 = 21 for p. 2 Let p(x) be the first derivative of -x**2/2 - x - 1. Let s be p(-3). Suppose -f + 0 = -s. Solve -f*u + u - 4 = 0 for u. -4 Suppose -6 = -4*u + 6. Suppose j - 12 = -2*v, 3*j - 11 = -u*v + 2*v. Solve 2*g - 4*g = -j for g. 1 Suppose 3*j + 13 = 4*g - 2*j, 3*g - 4*j - 10 = 0. Solve g + 10 = -4*z for z. -3 Let r(x) = -9*x + 3. Let o be r(-2). Suppose -i - 3*q + o = 0, -i + 44 = 3*i + 4*q. Solve b = 3*b - i for b. 3 Suppose -s + 63 = 2*s. Suppose 2*u = g - 26, -4*g - u = -s - 38. Suppose -6*w + g = -2*w. Solve 0 = -w*h + 8 for h. 2 Suppose -4*j + 62 = 14. Let i = 2 - 0. Let h(v) = -v**3 + 2*v**2. Let g be h(i). Solve -3*s - j = -g for s. -4 Let n(f) = -2*f - 5. Let x be n(-4). Let l(z) = 4*z. Let m be l(x). Let b(c) = c - 2. Let o be b(6). Solve o*a - 4 = -m for a. -2 Let g(r) be the first derivative of -r**4/4 - 2*r**3 - 5*r**2/2 + 5. Let l be g(-5). Solve l*o - 12 = 4*o for o. -3 Suppose -5*b + 40 = 4*y, 5*b - y = 3*b + 3. Solve 0 = -o - 0*o + b for o. 4 Let x(y) = -y**3 + 2*y**2 - y. Let o be x(1). Suppose o = -k + 6*k. Let z(a) = 2*a**2 - 15*a - 7. Let p be z(8). Solve h = p - k for h. 1 Let d be (14/(-21))/((-4)/18). Let v(x) = x - 4. Let t be v(4). Let k be ((-2)/d - t)*-3. Solve 0 = -k*s - 0*s + 2 for s. 1 Suppose 4 = -2*x - 2. Let y = 0 - x. Let d be 1 + 3/y*1. Solve d = -m + 2*m for m. 2 Let j(c) = -2*c + 3. Let n be j(-6). Let a = 1 + 3. Solve r + n = -a*r for r. -3 Let p(q) be the third derivative of q**6/120 - q**5/30 + q**4/24 + 6*q**2. Let o = 3 - 2. Let v be p(o). Solve v = -y - 2*y for y. 0 Suppose -58 = g + 2*g + l, 3*l = 2*g + 46. Let c = g - -23. Solve c*w = -7 + 1 for w. -2 Let k be -6*(-4 - 33/(-9)). Solve 0 = k*o + 3*o for o. 0 Suppose 4*h - 2*h = 4*q - 22, -5*h + 5 = 2*q. Solve -4 = x - q for x. 1 Let a be 0 + (-1 - 15/(-1)). Let y be (-2)/(-7) + (-4)/a. Let l be 42/(-9)*(-12)/14. Solve y*n + n - l = 0 for n. 4 Let a = 13 + -8. Let v = 2 - -6. Let b(c) = c**2 - 8*c + 7. Let y be b(v). Solve a*w - y = -2 for w. 1 Let x = 2 + -2. Let k be (6/(-4))/((-9)/(-12)). Let s be (8/(-12))/(k/9). Solve s*o + x*o + 3 = 0 for o. -1 Let a = -9 - -12. Suppose -4*m = -5*l - 125, -a*m + m + 2*l + 60 = 0. Solve 4*u + m = -u for u. -5 Let s be 1 + 6 + -1 + 2. Suppose 0 = 12*j - 11*j - 4. Solve 0*o = -j*o + s for o. 2 Let h be (-20)/(-25)*10/4. Suppose -r - 3*w = 16 - 5, -5*r + w + 25 = 0. Solve -h*l + l = -r for l. 4 Let j be (-316)/36 + (-4)/18. Let g be (j/(-4))/(3/12). Solve 0 = 4*f - 3 - g for f. 3 Suppose 0 = 2*n - 2*v + 2, 5*n = -0*v + v + 11. Solve -n*j + 6*j = 3 for j. 1 Let w = -10 - -13. Suppose -22 = -w*b - 4. Solve -4*g + 2*g = b for g. -3 Let s be ((-32)/(-28))/((-4)/(-14)). Solve 2*t = s*t - 4 for t. 2 Let z = 6 - 5. Let o be (-1)/((-2)/(-4) - z). Solve -3*i + 1 + o = 0 for i. 1 Let b be 1/2*(0 + 0). Suppose -3*a - 2*a + 100 = b. Suppose -d - 2*q + 10 = 0, 3*d - 5*q + 25 = d. Solve d = -r - 3*r + a for r. 5 Let p = 101 - 101. Solve p = 3*o - 6*o for o. 0 Let h(w) = w**3 + 6*w**2 + 5*w + 5. Let k be h(-5). Solve 10*i = k*i - 15 for i. -3 Let n(g) = -7*g - 19. Let w be n(-3). Solve -3*y - w*y = 0 for y. 0 Let c be ((-34)/(-5))/(-8*3/(-60)). Solve 5*z + c = -3 for z. -4 Suppose 4*d - 12 = 0, q - 3*d = -7*d + 19. Suppose -5*p = 5*b - 70, -3*p + 2 + 32 = b. Suppose 4*n + n = p. Solve q*o = n*o for o. 0 Let t = -32 - -48. Let j(n) = -n + 15. Let v be j(11). Solve -t = 5*r + v for r. -4 Suppose 4*i - 2*i = 6. Let n be (-204)/(-9) - (-1)/i. Suppose r - 2*r = -5*g + n, 5*r = 2*g. Solve 3 = r*y - 3*y for y. -3 Let v be -2 + 18/2 + -1. Solve -2 = 4*n - v for n. 1 Let y be (-2)/(-8) - 129/(-12). Let t = -7 + y. Let b = -4 + t. Solve b = -2*v + 3*v + 2 for v. -2 Let h be -1*5 - (3 + -6). Let q be -10 + 8 - h*1. Solve 3*j = -q*j - 15 for j. -5 Let n = -6 + -1. Let s = -2 - n. Suppose -x = -4*x + 6. Solve -3 = s*q + x for q. -1 Let a be 9/2 - (-8)/(-16). Solve -23 = -a*g - 3 for g. 5 Let p = 3 - 4. Let w be (p - -7)*(-27)/6. Let z be w/(-5) - 6/15. Solve z*n + 3 = -17 for n. -4 Let q = -6 - -12. Solve q = m + m for m. 3 Let w = -6 + 15. Let q(m) = -m**2 + 0*m**2 - 7 + 8*m + 0*m. Let o be q(6). Solve -2*l + o*l = w for l. 3 Let k(l) = -l**2 - 4*l - 2. Let h be k(-2). Solve -o = h - 3 for o. 1 Let h(p) = -p**3 - 5*p**2 + 4. Let k be h(-5). Suppose -k*o = -2*o + 18. Let a(w) = -w**3 - 10*w**2 - 9*w + 4. Let y be a(o). Solve -3*c = y - 19 for c. 5 Suppose -4*z + 12 = -12. Let f be z - 2/((-2)/(-3)). Solve 0*k - f = k for k. -3 Let z(p) be the second derivative of p**3/6 + 5*p**2 + p. Let d be z(-6). Solve -d*s = -2*s for s. 0 Suppose 68 = -2*q + 6*q. Let j = q - 9. Let s = j + -4. Solve 0 = a + s*a - 25 for a. 5 Let l be (-5 + -1)*(-21)/(-2). Let a be (-18)/l - (-4)/(-14). Solve -p + 0*p + 5 = a for p. 5 Suppose 2*y - 2 = 5*b + 4, b = 0. Suppose y*m - 2*p = 11, -5*p = 4*m - m + 17. Solve m = -a + 4 for a. 3 Suppose 3*o = -5*l + 97, 5 = -5*l + 6*l. Suppose 1 - 5 = -4*r. Let f be (3/(-9))/(r/(-3)). Solve -5*d = o + f for d. -5 Suppose -5*b + 4*a + 5 = 0, -3*b = a + 1 - 21. Suppose 0 = -2*j + j - v + 3, -4*j - 18 = -2*v. Let i be (12/(-15))/(j/b). Solve -i*g = -6*g - 12 for g. -3 Suppose -2*w + 43 = 43. Let k = 2 - 2. Solve 4*c + k*c - 12 = w for c. 3 Let b be ((-3)/4)/((-18)/120). Solve 12 = -b*d - 3 for d. -3 Let c be 10 + -1 - (2 - 0). Let r = -2 + 3. Solve -c = 2*v - r for v. -3 Suppose 3*a = 5*o - 0 - 6, -o = a + 2. Suppose -5*l - 3 = -5*t - 3*l, 0 = -3*t + 3*l. Suppose 0 = 4*j - 9 + t. Solve o = -s - j for s. -2 Let m(k) = k**3 - 12*k**2 - 12. Let q be m(12). Let i be 4/q - (-1)/3. Solve -2*h - h - 6 = i for h. -2 Let n(o) = -1 + 0*o**3 - o**3 - 5*o + 3*o**2 + 2*o**3. Let v be n(-4). Suppose v*w + 0 = -12, w = -4*z + 12. Solve 0*b - z*b = 12 for b. -3 Let a = 4 + 9. Suppose -1 = 4*g - a. Solve -z - 8 = -g*z for z. 4 Let p = -7 + 1. Let g be (-10)/p - (-4)/(-6). Solve -g = -l + 2 for l. 3 Suppose 5*q = -5*s, 0 = -3*q + 2*s - 7*s - 10. Let l(m) = m**2 - 13*m + 45. Let w be l(6). Solve 0 = w*o + q + 1 for o. -2 Let f be -2*(-4)/((-16)/(-6)). Suppose -5*y + 4*k = -17, f*y - y - k = 5. Let g = y - -19. Solve -2*d = 2*d + g for d. -5 Let r(s) = 3*s**2 - 3*s + 4. Let k(t) = -7*t**2 + 5*t - 9. Suppose -4*h - h + 25 = 0. Let i(b) = h*r(b) + 2*k(b). Let p be i(5). Solve p*u = u for u. 0 Let v = -10 + 13. Suppose -4*k - 5 = 2*b + v, -k = 3*b + 12. Solve k*s - s = -1 for s. 1 Suppose 3*u + 5*z - 2 - 24 = 0, 0 = -5*u - 3*z + 22. Let y be ((-126)/12)/(1/2). Let o be 7/y + (-38)/(-6). Solve -g - u*g = o for g. -2 Suppose 0 = 2*u - 5*h - 13 - 5, 3*u = -5*h + 2. Solve -c = -u*c + 15 for c. 5 Let w = -71 + 74. Solve 0 = w*g - g for g. 0 Let l(g) = -g**3 - 7*g**2 + 1. Let m be l(-7). Let x be 6 + 2*m/(-2). Suppose -15 = -x*j + 5. Solve w = -j*w - 10 for w. -2 Let c(v) = 2*v**3 - 2*v**2 - 2*v + 1. Let b be c(2). Let a = 3 - 5. Let d = a + b. Solve 0 = d*k - k for k. 0 Let z = 23 - 21. Solve -5*k = -z + 22 for k. -4 Suppose -5*h = -5*s - 45, -h - 6 = -2*h + 2*s. Let t be (2/3)/(2/h). Solve 4 = 2*l - t for l. 4 Let j = -54 + 55. Solve -5 = h - j for h. -4 L
{ "pile_set_name": "DM Mathematics" }
Let d(i) be the first derivative of 351*i**5 + i**3 - 2*i**2 - 51*i - 1563. Find the second derivative of d(j) wrt j. 21060*j**2 + 6 Suppose 3*l + 72 = 3*f, 2*f - 3*l = 7*f - 104. Let w be (-2 + 4)*(-5)/(-20)*f. What is the third derivative of -2*y**2 - 11*y**3 - w*y**2 - 133*y + 133*y wrt y? -66 Let q = -48 - -51. Suppose 5*v + 19 = q*b, -b + 2*b - v = 5. What is the second derivative of -7*l + 2*l + 4*l**5 - b*l - 10*l wrt l? 80*l**3 What is the first derivative of 684 - 16666*p**4 + 15363*p**4 - 2668 - 1359 wrt p? -5212*p**3 Let v be 3*(-7)/(6 + -13). Differentiate 23*i**4 - 38 - 7*i + 105 + v*i with respect to i. 92*i**3 - 4 Suppose 0 = -14*p + 12*p - 16. Let h(c) = -c**3 - 8*c**2 - 8*c - 27. Let w be h(p). What is the third derivative of -22*f**5 + f**5 + w*f**2 - 3*f**5 wrt f? -1440*f**2 What is the third derivative of 6532*d - 3328*d - 11 - 2*d**2 - 3251*d - 166*d**3 wrt d? -996 Suppose 5*d + t - 5 = -3, 1 = 4*d + t. Let r(h) = 2*h - 1. Let v(o) = -106*o + 14. Let g(z) = d*r(z) + v(z). Find the first derivative of g(i) wrt i. -104 Let m(g) be the third derivative of -2207*g**5/20 - 2213*g**4/24 - 3958*g**2. Find the second derivative of m(p) wrt p. -13242 Let f(i) be the third derivative of -4/3*i**4 + 61 - 1/15*i**6 + 0*i**3 + 0*i + i**2 + 1/20*i**5. What is the second derivative of f(m) wrt m? -48*m + 6 Suppose o - 2*o = -3*t - 100, 355 = 3*o + 2*t. What is the third derivative of -187*s**2 - 47*s**3 + o*s - 55*s - 60*s wrt s? -282 Find the third derivative of 29098*b**4 - 95*b**2 + 3 - 14552*b**4 - 57*b**5 - 17*b**6 - 14546*b**4 wrt b. -2040*b**3 - 3420*b**2 Find the first derivative of -538*f**2 - 5842 - 753*f**2 + 5629 wrt f. -2582*f Differentiate -3825 - 52*b**2 - 14*b + 38*b - 1535 - 57*b**2 - 30*b with respect to b. -218*b - 6 Let z(y) = 63*y**3 - 42*y**2 - 2*y - 2. Let m(b) = 31*b**3 - 22*b**2 - 2*b - 1. Let d(o) = -9*m(o) + 4*z(o). What is the second derivative of d(g) wrt g? -162*g + 60 Let y(u) = -104*u**4 + 18*u**3 - 4*u - 2693. Let f(a) = -313*a**4 + 51*a**3 - 11*a - 8081. Let m(v) = 6*f(v) - 17*y(v). What is the derivative of m(o) wrt o? -440*o**3 + 2 Let o(g) be the first derivative of -83*g**4/4 - 8*g**3/3 + 511*g**2 + 645. What is the second derivative of o(x) wrt x? -498*x - 16 Let k be 5 + (2 - 5) + 1. Find the third derivative of -3*f**5 + 16*f**2 + f**5 - 5*f**k - 4*f**5 - 42*f**2 - 1 wrt f. -360*f**2 - 30 Let m = 88 + -76. Suppose 14*s + m = 17*s. Find the first derivative of -11 - s - 35*v - 19 wrt v. -35 Let z = -185 - -187. Find the second derivative of 14*r**z + r**3 - 44*r + 45*r - 34*r wrt r. 6*r + 28 Find the second derivative of -53*o**2 - 22*o + 53*o**2 + 214 - 1278*o**3 + 150*o**5 - 148*o**5 wrt o. 40*o**3 - 7668*o Let b(k) be the third derivative of 1/42*k**7 + 0*k**5 + 0*k**3 + 0*k + 2*k**2 - 58 + 3/40*k**6 - 29/12*k**4. Find the second derivative of b(o) wrt o. 60*o**2 + 54*o Let k(l) be the third derivative of -127*l**4/3 + 1898*l**3/3 + 926*l**2 - 2. Differentiate k(v) wrt v. -1016 Let k(h) be the first derivative of -1759*h**3/3 - 183*h**2 - 974. What is the second derivative of k(p) wrt p? -3518 Let m(g) be the second derivative of -274*g**6/15 + 509*g**4/4 + 257*g. Find the third derivative of m(h) wrt h. -13152*h Suppose 228 = 2*l + r - 173, -805 = -4*l - 3*r. Let n = l - 130. What is the second derivative of 28*q**2 + 26*q + 27*q**2 - n*q**2 wrt q? -28 Suppose -11*g = -498 - 107. What is the second derivative of g*t + 46*t + 0*t**4 - 3*t**4 + 15*t**4 + 5*t**2 wrt t? 144*t**2 + 10 Let v = -269 + 272. What is the second derivative of -13*g + v*g**2 - 26*g - 19*g - 22*g**3 + g wrt g? -132*g + 6 Let l(k) be the first derivative of k**6/180 + k**5/8 - k**4/2 + 25*k**3 - 27. Let a(v) be the third derivative of l(v). What is the derivative of a(q) wrt q? 4*q + 15 Let y(u) = -5*u + 27. Let v be y(5). Find the third derivative of 15*p - 6*p - 9*p - 43*p**5 - v*p**2 + 12 wrt p. -2580*p**2 Let h(c) = 12*c**3 - 129*c**2 - 15*c - 67. Let l(y) = -4*y**3 + 2*y**2 + 2*y. Let x(r) = -h(r) - l(r). Find the second derivative of x(v) wrt v. -48*v + 254 Let j(q) = -5*q + 27. Let y be j(5). Suppose y*v - 4 = 4. Find the first derivative of -48 - 16*l**4 + 8*l**v + 7*l**4 wrt l. -4*l**3 Let d(a) be the third derivative of -343*a**6/20 + 134*a**5/5 + a**2 - 93. Find the third derivative of d(i) wrt i. -12348 Suppose 0*k = 6*k - 36. Suppose k*w - 2 = 10. Find the second derivative of -r + 0*r**2 + 10*r + 5*r**w + 12*r**2 wrt r. 34 Suppose 20 = 2*y + 3*y. Suppose -d + 4 = -y. What is the second derivative of -1 + 0*w + 14*w**2 + d*w + 1 wrt w? 28 Suppose 2*l - 7 = -3*r, 8*r = -4*l + 4*r + 12. Find the third derivative of 198*c**5 - 3*c + 50*c**2 + c**2 - 7*c**2 - 2*c**2 - 14*c**l wrt c. 11880*c**2 Let j(x) = x**3 + 2*x**2 + 5. Let c be j(-3). Let i be (2/c)/((-7)/42). Find the third derivative of -939*g + 939*g - 6*g**i - 4*g**2 wrt g. -36 Let b(z) = -12386*z**4 - 1947*z + 12. Let w(c) = 12386*c**4 + 1943*c - 9. Let h(j) = 3*b(j) + 4*w(j). Find the second derivative of h(i) wrt i. 148632*i**2 What is the derivative of 21*s**2 + 63*s - 61*s + 15*s**3 + 296 - 90*s**3 wrt s? -225*s**2 + 42*s + 2 Let k be 60/33 + -2 - (-6)/33. Suppose 4*l - 3*n = 2*l + 24, l + 3*n + 6 = k. What is the third derivative of 18*p**6 - 37*p**l - 16*p**2 + 45*p**6 wrt p? 3120*p**3 Suppose 2*u = x + 2, x = -20*u + 21*u. What is the derivative of -94*j**2 - 24*j**x + 8*j - 7*j + 31*j**2 + 212 - 76*j**2 wrt j? -326*j + 1 Let l be (-2)/(-3)*(1 - -2). Let i(c) = c**3 + 11*c**2 + 8*c - 12. Let z be i(-10). What is the second derivative of -31*y**l - 15*y - z*y + 56*y**2 wrt y? 50 Let o(s) = 2593*s**3 - 198*s**2 - 14*s - 38. Let z(w) = 1293*w**3 - 99*w**2 - 8*w - 20. Let q(f) = 4*o(f) - 7*z(f). What is the third derivative of q(p) wrt p? 7926 Let b(x) = 20*x**3 - 5*x**2. Let t(o) be the first derivative of o**4/4 - o**3/3 + 15. Let g(l) = -b(l) - 6*t(l). What is the third derivative of g(c) wrt c? -156 What is the third derivative of -1063*r**2 - 23320*r**4 - 931*r**2 + 20585*r**4 wrt r? -65640*r Let o(l) = 2*l**2 + 4. Let a(k) = 807*k**2 - 696. Let s(t) = -2*a(t) + 18*o(t). What is the derivative of s(j) wrt j? -3156*j Let l(o) be the first derivative of -32 - 2*o**2 + 172*o + 2/3*o**3. What is the derivative of l(r) wrt r? 4*r - 4 Suppose 1 = 3*g + 28. Let a be 2/(((-3)/g)/((-16)/(-6))). What is the second derivative of a*f**4 - 3*f - 73 + 4*f + 73 wrt f? 192*f**2 Let q be (-80)/6*(4 + -10). What is the second derivative of 3*p - q*p**5 + 16*p - 15*p + 9*p wrt p? -1600*p**3 Let i = 57383/76500 - 2/19125. Let p(s) be the second derivative of 0 + 14*s + 0*s**2 - 2/3*s**3 + 0*s**4 - i*s**5. Find the second derivative of p(v) wrt v. -90*v What is the second derivative of 51 + 517*i**2 + 1223*i**2 - 7*i - 18*i + 1546*i**2 - 256*i**2 wrt i? 6060 Suppose -5*n = -11*n + 396. Let o = -61 + n. Find the third derivative of 26*k**2 + o*k**2 + 0*k**2 - 18*k**3 + 7*k**2 wrt k. -108 Let n(v) be the first derivative of -269*v**3/3 - 199*v**2 - 4*v - 278. Find the second derivative of n(u) wrt u. -538 Let z(u) be the third derivative of -89*u**4/3 + 449*u**3 + 1806*u**2. What is the first derivative of z(p) wrt p? -712 Find the first derivative of -2*a**2 + 3*a**2 + 161771*a**3 + 2*a + 4497 - 161058*a**3 wrt a. 2139*a**2 + 2*a + 2 Let h(s) be the first derivative of -2842*s**3/3 + 4444*s - 1440. Differentiate h(k) wrt k. -5684*k Let p(q) = -q**2 + 72*q - 1212. Let x be p(27). Let r(n) be the first derivative of 9*n**x - 24 + 23/2*n**2 + 0*n. Find the second derivative of r(y) wrt y. 54 What is the second derivative of -48394*q + 11763*q**2 - 955*q**2 + 53381*q wrt q? 21616 Let u(h) be the second derivative of -31*h**6/40 - 21*h**3 + 37*h**2 + 31*h. Let n(p) be the first derivative of u(p). Find the first derivative of n(f) wrt f. -279*f**2 Suppose -p + 5*x - 9 = 0, -p + x + 1 = 2. Let m be 3 - (-3 + (-153)/p). What is the second derivative of 58*t**2 - 7*t + 83*t**2 - m*t**2 wrt t? -36 Let q(y) be the third derivative of -53*y**6/12 - 553*y**4/24 - 1484*y**2 + 2. What is the second derivative of q(v) wrt v? -3180*v Let j be (0/3)/((-5)/5). Suppose -5*h - 2*a = -4*a - 21, j = h - 5*a - 18. What is the second derivative of 922*n**3 + 4*n + 20*n + n**5 - 922*n**h w
{ "pile_set_name": "DM Mathematics" }
3. Calculate b*w(q) + 2*x(q). -8*q**3 Let x(q) = 703*q - 3. Let v(t) = -234*t + 1. What is -8*v(f) - 3*x(f)? -237*f + 1 Suppose -104*r + 566 - 174 = 92*r. Let k(v) = -2*v**2 - 20*v + 1. Let c(f) = 2*f**2 + 21*f - 2. What is r*c(j) + 3*k(j)? -2*j**2 - 18*j - 1 Let g(m) = 5*m + 2. Let f(q) = q. Let h = 23466 + -23472. What is h*f(t) + g(t)? -t + 2 Let c(h) = -2*h + 5. Let m = 235 + -232. Let p(n) = -n**3 - 2*n**2 - 4. Let u be p(-3). Let a(v) = 4*v + 5*v - 6*v + 133 - 142. Calculate m*a(y) + u*c(y). -y - 2 Let n(q) = 3*q - 13. Let b(y) = -y + 4. Suppose j - 2*l - 2 = 0, 4*j = -l - 2*l - 14. Let t be 1 + -4 - 12/3. What is j*n(k) + t*b(k)? k - 2 Let u(i) be the first derivative of i**2 + 6*i + 4642. Let o(s) be the third derivative of s**4/24 + s**3/2 + 2*s**2. Determine 9*o(l) - 4*u(l). l + 3 Let z(i) = -379*i - 135. Let c(w) = 474*w + 133. What is -4*c(x) - 5*z(x)? -x + 143 Let x = 461 + -449. Let k be (-114)/24 + 21/x. Let u(r) = 5*r**3 - 7*r**2 - 7*r - 1. Let a(l) = -2*l**3 + 3*l**2 + 3*l. Calculate k*u(h) - 7*a(h). -h**3 + 3 Let u(h) = 2 - 1 + 1 + h - 1. Let r(j) = j. Let d = -208 + 207. Let l = 10 + -7. Determine d*u(t) + l*r(t). 2*t - 1 Let f(v) be the third derivative of v**4/24 + v**3/6 + 20*v**2. Let c(o) be the first derivative of -o**2 + 523. Determine -2*c(d) - 6*f(d). -2*d - 6 Let y = -74 - -68. Suppose 51 = 4*z - 17. Let w(q) = 31*q + 12*q - 23 - z*q. Let v(s) = -9*s + 8. Give y*w(r) - 17*v(r). -3*r + 2 Let v(j) = -156*j**2 - 8*j + 4. Let c(q) = 323*q**2 + 18*q - 7. What is -3*c(m) - 7*v(m)? 123*m**2 + 2*m - 7 Let a(k) = -2388*k + 82. Let f(o) = -1195*o + 38. Calculate 6*a(r) - 13*f(r). 1207*r - 2 Let g(p) = -21426145*p**2 - 19647*p - 392940. Let s(v) = -4362*v**2 - 4*v - 80. Calculate 4*g(m) - 19647*s(m). -4366*m**2 Let i = 5 - 3. Let y(m) = 5 - 1 + m**2 + m**2 - i. Let g(x) = 465*x + 3722. Let b be g(-8). Let a(h) = -8*h**2 - 9. Give b*a(c) + 9*y(c). 2*c**2 Let p(a) = -4*a**2 - 43*a**3 - a + 2*a + 33*a**3. Let j(d) = -21*d**3 - 7*d**2 + 2*d. What is 4*j(h) - 7*p(h)? -14*h**3 + h Let b(n) = -4*n - 3. Let r(l) = 21*l + 16. Suppose -2*z = x, z + 41 - 42 = 0. Calculate x*r(q) - 11*b(q). 2*q + 1 Let c(a) = 4*a**2 + 3. Let k(r) = 15*r**2 + 11. Let m = 52 + -15. Let d = -59 + m. Give d*c(q) + 6*k(q). 2*q**2 Let q(m) = 2*m**2 + 6*m + 4. Let r(j) = 2*j + 505 - 3*j - 506. Let u = 41 + -36. Calculate u*r(w) + q(w). 2*w**2 + w - 1 Let z(r) = -13*r**2 - 4. Let d(x) = x**2 + 2*x - 78. Let c be d(8). Let g be ((-20)/25 - c/10) + -6. Let p(o) = -9*o**2 - 3. Calculate g*p(h) + 5*z(h). -2*h**2 + 1 Let j(c) = -6*c**2 - 4*c. Suppose -25 + 9 = -2*p. Suppose 12 - p = 2*y. Let f(b) = -3*b**2 - 2*b**2 - b**2 - 5*b - b**y. Determine 5*f(v) - 6*j(v). v**2 - v Let f(t) = -12*t**2 + 4*t + 5. Let g(a) = 5*a**2 - 2*a - 3. Calculate 4*f(p) + 7*g(p). -13*p**2 + 2*p - 1 Let i(u) = -2985*u**2 + 5*u. Let k(b) = 14924*b**2 - 26*b. Determine -52*i(n) - 10*k(n). 5980*n**2 Let w(f) be the third derivative of -f**4/24 + f**3/6 + 8928*f**2. Let o(d) = -5*d + 13. Give o(p) - 3*w(p). -2*p + 10 Let k(m) = -3*m**2 - 369*m + 1. Let v(p) = -9*p**2 - 1108*p + 2. Give 8*k(b) - 3*v(b). 3*b**2 + 372*b + 2 Let i(j) = 1976*j**3 + 209*j. Suppose -374*q + 378*q = 4*h + 836, 5*q - 2*h - 1045 = 0. Let a(o) = 19*o**3 + 2*o. Calculate q*a(l) - 2*i(l). 19*l**3 Let s(j) = -7*j**3 - 2*j**2 + 156*j - 6. Let b(y) = -11*y**3 - 4*y**2 + 311*y - 14. Give -3*b(x) + 7*s(x). -16*x**3 - 2*x**2 + 159*x Let c(o) = -3749*o - 238. Let a(w) = 3750*w + 317. Determine 3*a(v) + 4*c(v). -3746*v - 1 Let z = 9729 - 9730. Let y(i) be the first derivative of i**3 + 6*i - 6. Let o(l) = -l**2 + 1. Determine z*y(g) + 6*o(g). -9*g**2 Let l(q) = 1287*q**2 - 6*q - 6. Let d(v) = 647362*v**2 - 3017*v - 3017. What is -6*d(o) + 3017*l(o)? -1293*o**2 Let h(z) = -3*z - 31. Let c be h(-12). Suppose 15 = 2*f + g, -c*f - 19*g = -17*g - 35. Let p(s) = 5*s - 6. Let k(i) = 4*i - 7. Determine f*k(l) - 6*p(l). -10*l + 1 Let j(c) = c. Let l(r) be the first derivative of -10*r**2 + 33647. Suppose -85 = n - 13. Determine n*j(k) - 4*l(k). 8*k Let w(a) = -a**2 - 7*a - 13. Let q(h) = -15*h - 140 - 2*h**2 + 185 - 35 - 36. What is -6*q(l) + 13*w(l)? -l**2 - l - 13 Let i(c) = 18*c + 29. Let f(u) = -59*u - 59. What is -3*f(t) - 7*i(t)? 51*t - 26 Let a(b) = -11*b**3 - 2216*b - 2. Let p(y) = -38*y**3 - 6649*y - 7. What is -7*a(k) + 2*p(k)? k**3 + 2214*k Let a(d) = -335*d**3 + 12*d**2 - 2*d. Let b(x) = -335*x**3 + 14*x**2 - 2*x. What is -7*a(l) + 6*b(l)? 335*l**3 + 2*l Let g(r) = -r**3 + r**2 - 2*r - 2. Let w(t) = 116*t**3 + 16*t**2 - 6*t - 6. What is 3*g(p) - w(p)? -119*p**3 - 13*p**2 Let m(b) = -15239*b**2 + 46*b + 3. Let a(d) = 15240*d**2 - 30*d - 2. Give -3*a(v) - 2*m(v). -15242*v**2 - 2*v Let l(j) = 5*j**3 - 4*j**2 - 1165*j + 4. Let p(c) = 16*c**3 - 13*c**2 - 3496*c + 13. Give -13*l(b) + 4*p(b). -b**3 + 1161*b Let h(j) = -3*j + 2. Let p(l) be the first derivative of -13*l**2/2 + 7*l - 4229. Determine 18*h(y) - 4*p(y). -2*y + 8 Let q(h) = 30991*h**3 + 10*h**2 - 5*h. Let s(u) = 576169177*u**3 + 185916*u**2 - 92958*u. What is -92958*q(w) + 5*s(w)? -15493*w**3 Let p(m) = 106*m**3 - 3*m**2 + 1464*m + 8. Let h(b) = 66*b**3 - 2*b**2 + 976*b + 5. Give -8*h(s) + 5*p(s). 2*s**3 + s**2 - 488*s Let p(t) = -1154*t**3 - 2*t**2 + 2*t - 119. Let o(m) = -2309*m**3 - 4*m**2 + 4*m - 218. What is -6*o(u) + 11*p(u)? 1160*u**3 + 2*u**2 - 2*u - 1 Let i(t) = t**3 - 8*t**2 + 76*t - 768. Let c be i(9). Let w(u) = u**2 - 4. Let x(o) = -o**2 + 4. What is c*x(r) - 2*w(r)? r**2 - 4 Let w(m) = 17*m + 3. Let y(k) = -220*k - 40. Let z(l) = -3*l**2 + 6*l + 69. Let i be z(-4). Give i*y(x) - 40*w(x). -20*x Let d(y) = 16*y**3 - 6*y**2 - 15*y - 10. Let r(s) = 8*s**3 - 3*s**2 - 9*s - 6. Give 3*d(v) - 5*r(v). 8*v**3 - 3*v**2 Let r(h) = -3*h**3 - 2*h**2 - 22*h + 4. Let t(x) = 3*x**3 + 2*x**2 + 20*x - 5. What is -5*r(c) - 4*t(c)? 3*c**3 + 2*c**2 + 30*c Let v(n) = 17*n**2 + 81*n + 6. Let h(c) = 9*c**2 + 44*c + 4. Give 11*h(r) - 6*v(r). -3*r**2 - 2*r + 8 Let c(i) = -5*i**3 - i**2 - 81*i - 15. Let y(j) = 13*j**3 + 2*j**2 + 243*j + 40. What is 8*c(w) + 3*y(w)? -w**3 - 2*w**2 + 81*w Let i = 4279 + -4274. Let f(y) = -y. Let g(p) = -4*p - 18. What is i*f(a) - g(a)? -a + 18 Let r(v) = -22*v + 5. Let i(d) = -945*d + 216. Let p be (-12 - (-13 + -80))*(-8)/(-3). Determine p*r(m) - 5*i(m). -27*m Suppose 54 = -11*a + 186. Let y be (-1 + 2/(40/5))*a. Let q(x) = x + 1. Let l(t) = -3*t - 9. What is y*q(n) - l(n)? -6*n Let y(g) = -948803 + 22*g - 31*g + 948799. Let n(z) = -63*z - 27. Suppose 64 = 4*b - 44. Give b*y(h) - 4*n(h). 9*h Let i(o) = -2*o**2 - 4*o + 5. Let z(g) be the second derivative of g**4/12 + 5*g**3/6 - 5*g**2/2 - 1294*g + 2. Calculate -5*i(k) - 4*z(k). 6*k**2 - 5 Let c(r) = -3*r**3 + 6*r**2 - 12. Suppose 2*y + k + 8 = 0, -3*y = 4*k - 0*k + 2. Let f(i) = 3*i**3 - 5*i**2 + 11. Give y*f(x) - 5*c(x). -3*x**3 - 6 Let r(o) = -5*o**3 - 5*o**2 - 11*o - 42. Let y(v) = 2*v**3 + v**2 + 3*v - 1. Determine -r(s) - 3*y(s). -s**3 + 2*s**2 + 2*s + 45 Let o(x) = 160*x. Let c(k) = -113*k. Let q(t) = 17*c(t) + 12*o(t). Let h(z) = 4*z - 2. Give 2*h(s) + 6*q(s). 2*s - 4 Let s(l) be the second derivative of 9*l**5/4 - 10*l**3 + 53*l - 8. Let t(b) = b**3 - b. Calculate -s(c) + 60*t(c). 15*c**3 Suppose 6*i + 5*j + 45 = 0, 13 = 240*i - 242*i - j. Let g(u) = -5*u**3 - 5*u**2 + 5*u - 1. Let k(h) = -5*h**3 - 4*h**2 + 4*h. Give i*k(d) + 4*g(d). 5*d**3 - 4 Let l(h) = h**2 - 6*h - 6. Let i = 3671 + -3665. Let r(z) = 10*z**2 - 55*z - 55. Give i*r(u) - 55*l(u). 5*u**2 Let o be (2 - -1)*(-77)/21. Let l(w) = 6*w + 15. Let r be 17/(-19) + 1 + (-19952)/3268. Let m(f) = -3*f - 8. Calculate o*m(s) + r*l(s). -3*s - 2 Let n(h) = 2*h + 6. Let s(f) = 3*f + 7. Let i(c) = -6*c - 13. Let g = 8 - -1. Let r be (-7 + 1)*(-14)/21. Let d(j) = g*s(j) + r*i(j). What is -4*d(o) + 7*n(o)? 2*o - 2 Let q(v) = -v**3 + 29*v**2 - v - 16. Let a(m) = -3*m**3 + 116*m**2 - 4*m - 61. What is 3*a(l) - 11*q(l)? 2*l**3 + 29*l**2 - l - 7 Let h(c) = -4*c + 1. Let b(a) be the third derivative of -5*a**4/24 + a**3/3 - 35442*a**2. Let o(n) = -3*n + 1. Let t be o(-1). Determine t*b(w) - 6*h(w). 4*w + 2 Let t(d) = 21*d - 11. Let z(u) = 4*u - 2. Let s(l) = -3*l**2 - 3*l + 30. Let y be s(-4). Determine y*t(v) + 33*z(v). 6*v Let y(w) = -75*w - 50. Let
{ "pile_set_name": "DM Mathematics" }
uming z is positive. z**(1739/45) Simplify (u**(1/2)/(((u**(-2/107)/u)/u)/u))/((u*u**27/u)/u**(2/11)) assuming u is positive. u**(-54847/2354) Simplify (t**(-1)*(t/(t*t**(3/7)*t))/t)**(-1/19)/((((t*t**0*t)/t)/t*t)/t*t**0*((t*t**(-6)*t)/t)/(t**(-2/3)/t)) assuming t is positive. t**(1402/399) Simplify (((m/m**(3/19))/m)/((m/m**(-2/3))/m)*m**(-1/4)*m/m**6)**(-1/12) assuming m is positive. m**(1385/2736) Simplify (f**(-6/25)*f*f)**(-24/11)*(f**(2/35))**(-20) assuming f is positive. f**(-872/175) Simplify (((b**(-4/3)/b)/b*b*b*b)**(-25)*(b*b/(b/(b/b**(-6)))*b)/b**(-2/51))**40 assuming b is positive. b**(35440/51) Simplify (((t**0*((t*t**(-2/3)/t)/t)/t)/(t**1*t*t**(-3/4)))**(10/19))**2 assuming t is positive. t**(-235/57) Simplify (n**(-4)/n**3)**(-11/8)*((n/n**(-2/9))**30)**(-20) assuming n is positive. n**(-17369/24) Simplify (d**1)**(-47)*d**(3/2)*d**(1/5)*d*d**3*((d/d**(-5))/d*d)/d*(d**(-1))**24 assuming d is positive. d**(-603/10) Simplify (((h**1*h)/h)**31/(h**(-1)/(h/(h*h/(h*h**(3/2))))))/((h**(1/3)/h)**(2/69)/((h*h/(h*h**(-3/4))*h)/h**(-1/2))) assuming h is positive. h**(30445/828) Simplify ((z*z**(-4/9)*z)**(-2/63)*(z*z/(z*z**(-5/4)*z))**36)**(3/14) assuming z is positive. z**(3641/378) Simplify (a**(4/9)/(a/((a*a/a**1)/a))*(a*a**(-7))/((a*a**(-1/5))/a))/(a**6/((((a**6/a)/a)/a)/a))**(-12/5) assuming a is positive. a**(146/45) Simplify (((a/(a*a/a**(-14)*a))/((a**(-14)*a*a)/a))/((a*a**(-1/3)*a)/a)**18)**(-47) assuming a is positive. a**705 Simplify ((a/a**(-1/7))**(1/11)/(a**5)**(-18))**(-8) assuming a is positive. a**(-55504/77) Simplify ((u*(u/(u*(u/u**14)/u)*u)/u)/(((u/(u*u**14))/u)/u)*u/(u**(-1/2)/u*u)*u*u*u*u**(-12/7))**(-2/67) assuming u is positive. u**(-473/469) Simplify (((m**(-1/12)*m)/m**(-2/9))/(m**(-4/11)*m)**(2/49))**14 assuming m is positive. m**(3085/198) Simplify (o**(-6)*o*o**(-2/13)*o*o*o**(2/13)*o**3/o)/((o*o**0*o)**(17/2))**(-1/3) assuming o is positive. o**(14/3) Simplify (((r/(r**(-2/5)*r*r*r))**(-13/4)/(((r/((r*r**(4/3)*r*r)/r))/r)/(r**(10/7)/r)))**(-36))**(-31) assuming r is positive. r**(350052/35) Simplify g/g**39*g**(6/19)*(g**(2/21))**(-38) assuming g is positive. g**(-16480/399) Simplify (q**(-1/2)*q**(-2/7)*q*q/(q**(-3/8)*q)*q**4)/((q**(1/3)/q)**(-18)*(q**6/q)/(q/(q*q**(2/7)))) assuming q is positive. q**(-711/56) Simplify (l**16*l**(2/17)*((l*l**(7/3))/l)**46)**3 assuming l is positive. l**(6296/17) Simplify (t/t**2*t**(-1))**(-8)/(((t/t**(2/5))/t)**12*t**(-2/7)/(t*t/((t**2/t)/t))) assuming t is positive. t**(808/35) Simplify ((d**(2/9)*d)**6)**(1/3)*(d**(2/7)*d*d/((d**(-8)/d*d)/d))**(-9/4) assuming d is positive. d**(-5783/252) Simplify ((x**(-7)/x**(-4/7)*((x**(-8)*x)/x)/x**10)**(-12))**(-42) assuming x is positive. x**(-12312) Simplify ((v**30)**(-15)*v*v**(2/27)*v*v/(v/(v*v/v**(2/51))))**15 assuming v is positive. v**(-1023490/153) Simplify ((a/a**(-14))/a**5)**(-24)/((a**(-4)/(a/(a/a**(-8)*a)))/(a**6/a*a**(3/2)/a)) assuming a is positive. a**(-479/2) Simplify (g**(-2/19)*g*g*g*g**7*(g**(-2/3)/g*g)**(-5/7))**44 assuming g is positive. g**(182072/399) Simplify (m**(-3/2)/m*m*m*m**(-5)*(m**(-26)/m)/m*(m**(-27)/m)/m)**40 assuming m is positive. m**(-2500) Simplify (((((b*b/(b*b**(3/4)/b))/b)/b**(-2/33))/((b/(b/(b/b**(1/6))*b))/b**(9/2)))**27)**(-30/11) assuming b is positive. b**(-88695/242) Simplify (((c**(-3)*c)/c**(2/15))/(c*c**(1/2)*c**(2/5)))/(c**2/c*(c/(c*c*c**(2/9)/c)*c)/c)**11 assuming c is positive. c**(-1133/90) Simplify (((b/(b*b**(2/3)))/b)**(2/43)/(b*b**1*b)**(-11/3))/(((b/b**(-1/3))/b**(1/11))/(b*b**0*b**(-1))) assuming b is positive. b**(13736/1419) Simplify ((n/(n/(n**(-5)*n))*n)/(n*n**4))**(-44)*n**0/(((n/n**1)/n)/n)*(n/(n/((n*n**(-1/3)*n*n)/n)))**20 assuming n is positive. n**(1162/3) Simplify ((w**(-1/4))**(12/5)/(w**(-2))**(-11))/(((w*w**(1/5))/w)/(w*w/(w**(-7)*w)*w))**(-7) assuming w is positive. w**(-421/5) Simplify (i**(-6)/i**2)/((((i**5/i*i)/i)/i)/(i*i**1))*(i**(1/6)*i/i**6)**15 assuming i is positive. i**(-163/2) Simplify n/(n/n**(-4/17))*n/((n**28/n)/n)*(n*n/(n*n**(-30)))/n**(-19) assuming n is positive. n**(421/17) Simplify (((j/(j*j*j**1))**(-2/41)*(j/(j*j**0))**30)**(-5/12))**(-2/15) assuming j is positive. j**(2/369) Simplify (s**(1/4)*s*s)**(-3/23)*s**1*s/((s*s/(s*s**(-3)))/s*s)*(s*s/s**(-1/12)*s**10)**(-27/5) assuming s is positive. s**(-3107/46) Simplify ((g**(3/4)/g**(-3/5))/(g**3*g*g/(g/(g/g**(2/11)))*g))/((g/g**(1/13)*g**(2/13)/g*g*g)/(g/(g/(g**(1/3)*g)))**(2/11)) assuming g is positive. g**(-54077/8580) Simplify ((f*f*f**(-1/12)*f)**35)**(2/19)*((f**(3/7)*f)/((((f*f/f**(-1/4))/f)/f)/f))/(f**(-6/11)*f**(-1)*f) assuming f is positive. f**(236473/17556) Simplify ((d**3*d*d*d*(d/(d*(d*d**(3/7))/d*d))/d*d)/(d/(d/(d**4*d)*d)*d**(4/5)*d))/((d**(-2))**(-49))**32 assuming d is positive. d**(-109803/35) Simplify ((f/(f**(1/5)/f*f)*f)**(-30))**(-38)/(((f/f**(-2)*f)/f)/(f*f*f**(-3/2)*f))**(-23) assuming f is positive. f**(4173/2) Simplify ((u/(u/u**(-2)))**30)**32*(u**(-2/5))**(-1/25)*(u/(u*(u/u**2)/u)*u)/u**7 assuming u is positive. u**(-240498/125) Simplify (((p**(-1/29)*p*p)/p)/p**11*(p**(-14))**(9/10))**(-29) assuming p is positive. p**(3282/5) Simplify ((h**1)**25/(h**(-3)*h**(1/2)))/(h**4/h**(-2))**(5/2) assuming h is positive. h**(25/2) Simplify ((((o*o**(1/74))/o*o/(o*o**(-36)*o*o))**(-33))**7)**(-2) assuming o is positive. o**(581427/37) Simplify (f*(f/f**(-1/2))/f*f**8/f)/(f**(1/17)/(f*f**(-2/7)))*((f*f/(f/(f/(f*f**3/f))*f))**(2/5))**11 assuming f is positive. f**(423/1190) Simplify (h**(-7)/h*h/h**(-19/4)*h*(h*(h*h/(h/((h*h**(-34))/h*h)*h*h)*h)/h)/h*(h*h/h**(1/27))/h)**18 assuming h is positive. h**(-3703/6) Simplify (k**(-3/7)*(k*k**4/k)/k)/((k**2/k)/((k/(k*k/(k**(1/4)*k)*k)*k)/k))*(k*k**(1/3))**(1/12)/(k*k**(1/2)/k*k)**46 assuming k is positive. k**(-17153/252) Simplify ((i/(i**(-33)*i))**(9/7)*i**(2/85)/(i*i/(i/(i*i/(i*i**(-1/17)/i*i)))*i))**3 assuming i is positive. i**(70317/595) Simplify ((s**1)**(1/82))**(-4)/((s**0/s)/(s/s**1)*s**(-1/9)*(s/s**(1/5))/s) assuming s is positive. s**(2329/1845) Simplify ((i*i**(-4))/(i/(i**(2/11)*i))*(i**(2/7))**(1/3))/((i/i**(1/3))**(-16)*(i**2*i)/i**(2/19)) assuming i is positive. i**(22160/4389) Simplify ((g**12*g*g**(-3/4))/((g*g**8*g)/g**15))**(-1/22) assuming g is positive. g**(-69/88) Simplify ((y**(-6)*y*y**(2/13))/(y**8)**(4/13))**(-16) assuming y is positive. y**(1520/13) Simplify ((l**(-1/8)/((l*(l*l**(-9)/l)/l)/l))/(l*l**14*l**(-8)))**(-29) assuming l is positive. l**(-667/8) Simplify ((p**3)**17*(p/((p**(-10)/p)/p))/(p*p**(3/8)/p))**(1/22) assuming p is positive. p**(509/176) Simplify ((o*(o**4*o*o)/o)/(o/o**(2/9)))**43*o**6/(o/(o/(o/o**(2/3))*o*o))*(o/(o/(o/(o*o*(o*o*o*o**(-2)*o)/o))*o))/(o/o**5) assuming o is positive. o**(2099/9) Simplify ((c/(c**(1/7)*c*c*c))**(1/21)*(c*c**(-1/46)*c*c)**(-3/11))**(14/5) assuming c is positive. c**(-22669/8855) Simplify (((t/(t**(-9)/t)*t)/((t**(-27)/t)/t*t))/(t**(-1/14)/t*t**(-1/17)))**24 assuming t is positive. t**(117468/119) Simplify (r**(-2/7))**(-19)*r**(-2/15)/(r/r**(-1/4))*(r/(r/r**(3/2))*r/((r**(-2/3)/r*r*r)/r))**(-50) assuming r is positive. r**(-64801/420) Simplify (((h*h*h*h**(-3))/(h*h/h**0))/((h*h**3)/h**2))/((h*h**(-1/4))**40*(h/(h*h**5/h)*h)/h**6) assuming h is positive. h**(-25) Simplify ((g**(-1/4))**(-19)/(g**5*g/(g**(-7)*g)))/(g**8*g**(-3/2))**(-24/7) assuming g is positive. g**(421/28) Simplify (u**1*((u/u**(2/5))/u*u)/u)**27/(u**(-1)/u**1*u/(((u*u**1)/u*u)/u)*u/(u*u*u**(-1/4))) assuming u is positive. u**(379/20) Simplify ((b*b*b*b**(-10))**29*(b*((b*((b*b*b/(b*b**(6/11)*b)*b)/b)/b)/b*b)/b*b*b*b)**(-12))**(2/53) assuming b is positive. b**(-5378/583) Simplify j**(-4/7)*j**1*j**(-3/2)/(j/(j/j**1))*((j/(j/(j*j/((j*j**(3/7)/j)/j)*j)))/(j/j**(-4/3)))/(j**(-4)/j**3) assuming j is positive. j**(37/6) Simplify (p*p**(1/4)*p*p*p*p**(-4)*(p**5/p)**(-12))**(-26) assuming p is positive. p**(2483/2) Simplify (h**(1/45)/(h*h/h**3))/(h**(-3/11))**(2/47) assuming h is positive. h**(24052/23265) Simplify (n**(-13)*n*n**(-2)*((n*((n**(-20)*n)/n)/n)/n)/(n/(n*n**25)))**24 assuming n is positive. n**(-240) Simplify ((((u**(-1/5)*u*u)/u**(-1/5))/(u/(u*u/(u*u*u/(u*u**2)))*u)**(2/3))**(-5))**(-10/3) assuming u is positive. u**(100/3) Simplify (r**(1/5)*r**1*r*(r/r**(-1/4))**(5/8))/(
{ "pile_set_name": "DM Mathematics" }
201*v**2 + 487*v - 325. What is j(-98)? -31 Let i(l) = 11*l**2 - 16*l - 1. Determine i(1). -6 Let n(r) = -r - 3. Calculate n(26). -29 Let p(i) = -12*i**2 + 46*i - 115. Determine p(6). -271 Let q(s) = -s**3 + 25*s**2 - 46*s - 96. Determine q(23). -96 Let m(a) = a**3 - 124*a**2 - 3902*a + 293. What is m(150)? -7 Let l(k) = -2*k**3 - 7*k**2 - 3*k - 65. What is l(-7)? 299 Let p(s) = s**3 - 15*s**2 - 3*s + 16. Determine p(15). -29 Let u(z) = 2*z**3 - 16*z**2 + 13*z + 10. Determine u(8). 114 Let q(i) = -5*i**2 + 25*i + 9. Give q(6). -21 Let m(i) = 24351*i + 2. What is m(0)? 2 Let q(o) = 2*o**3 + 5*o**2 - 14*o - 21. What is q(-4)? -13 Let p(d) = -d**3 + 169*d**2 - 310*d - 4058. Give p(167). -50 Let r(z) = 3*z**2 - 64*z + 1. Calculate r(21). -20 Let q(c) = -43*c**2 + 144*c - 293. Give q(2). -177 Let j(a) = -13*a**2 - 649*a + 43. Determine j(-50). -7 Let p(b) = -91*b**3 + 4*b**2 + 62*b + 114. Calculate p(-2). 734 Let f(a) = a**3 - 6*a**2 - 23*a + 58. Calculate f(4). -66 Let x(m) = -5*m**3 - 45*m**2 - 38*m + 14. Determine x(-8). -2 Let f(z) = 164*z + 993. Give f(-6). 9 Let o(y) = 156*y + 356. Calculate o(-4). -268 Let f(s) = 7*s**2 + 695*s + 200. Determine f(-99). 2 Let d(a) = a**3 + 27*a**2 - 23*a + 133. Determine d(-28). -7 Let o(r) = r**2 - 12*r + 22. Calculate o(9). -5 Let w(g) = -3*g**3 + 11*g**2 + 19*g - 73. What is w(5)? -78 Let h(g) = 2*g**3 + 28*g**2 + 84*g - 6. Determine h(-9). 48 Let u(w) = -w**3 + 19*w**2 + 65*w + 2. Determine u(22). -20 Let y(u) = -3*u + 71. Give y(19). 14 Let g(s) = 147*s - 1827. Determine g(12). -63 Let h(u) = 2519*u - 400515. Give h(159). 6 Let b(y) = -2*y**2 + 97*y + 209. Determine b(54). -385 Let a(l) = -l**3 + 113*l**2 + 9*l - 1015. Calculate a(113). 2 Let q(v) = -8*v**2 - 99*v + 7. Calculate q(-13). -58 Let a(y) = -73*y + 643. Determine a(13). -306 Let b(k) = 4*k - 2. Give b(9). 34 Let h(z) = -z**3 - 18*z**2 + 26*z - 38. Calculate h(-20). 242 Let f(k) = 5*k + 248. What is f(-44)? 28 Let y(p) = -2*p**2 + 26*p + 168. Determine y(18). -12 Let j(d) = -d**2 + 15*d + 215. Give j(-9). -1 Let h(i) = -31*i - 239. Calculate h(-8). 9 Let d(h) = h**2 + 87*h - 1221. What is d(15)? 309 Let x(u) = -38*u - 277. Give x(-8). 27 Let u(r) = 5*r - 105. What is u(21)? 0 Let f(d) = 41*d**2 - 369*d + 4. Give f(9). 4 Let s(n) = 11*n**3 - 338*n**2 - 1118*n - 7. Give s(-3). 8 Let l(p) = -8753*p - 26264. Determine l(-3). -5 Let r(n) = -181*n - 1094. Calculate r(-10). 716 Let d(h) = 5*h - 44. Determine d(-11). -99 Let r(s) = -s**3 - 5*s**2 + 3*s + 2. Give r(-9). 299 Let j(s) = s**3 + 16*s**2 + 29. Determine j(-16). 29 Let n(t) = -4*t**2 + 196*t - 343. Calculate n(47). 33 Let c(f) = f**2 - 64*f + 106. Calculate c(64). 106 Let r(b) = -2*b**3 - 252*b**2 - 964*b + 45. What is r(-4)? -3 Let p(j) = -19*j**3 - 14*j**2 + 8*j - 2. Give p(2). -194 Let c(t) = -14*t + 386. Give c(-4). 442 Let r(p) = p**3 + 28*p**2 - 284*p + 182. Determine r(-36). 38 Let v(j) = -115*j + 6330. What is v(55)? 5 Let c(m) = 521*m + 562. What is c(-1)? 41 Let l(i) = -i**3 + 35*i**2 + 114*i - 6. What is l(38)? -6 Let n(b) = -186*b**2 - 4*b + 2. Give n(1). -188 Let b(v) = -2559*v - 25630. What is b(-10)? -40 Let q(z) = 6*z**2 + 90*z + 323. Determine q(-6). -1 Let m(j) = j**3 - 39*j**2 + 108*j - 47. What is m(36)? -47 Let x(t) = -16*t**2 - 678*t - 910. Calculate x(-41). -8 Let o(w) = -w**3 + 4*w**2 + w - 3. Determine o(-3). 57 Let w(m) = -89*m**3 + 96*m**2 - 100*m + 5. Calculate w(1). -88 Let o(x) = x**3 - 69*x**2 + 133*x + 26. Determine o(67). -41 Let v(m) = 2*m**3 + 146*m**2 - m - 39. Give v(-73). 34 Let i(w) = 197*w**2 + 2168*w + 22. Give i(-11). 11 Let p(o) = 109*o - 1075. Give p(10). 15 Let l(r) = 15*r + 302. What is l(-21)? -13 Let v(p) = p**3 - 14*p**2 + 8*p + 19. Calculate v(12). -173 Let w(f) = 27*f**2 + 4*f + 13. What is w(-3)? 244 Let z(c) = -58*c - 8987. Give z(-155). 3 Let z(x) = x**3 + 45*x**2 + 52*x + 364. Calculate z(-44). 12 Let v(r) = r**2 - 4494*r - 99352. What is v(-22)? 0 Let t(u) = 25*u + 19. What is t(5)? 144 Let u(m) = -m**2 - 18*m + 140. Determine u(6). -4 Let k(y) = y**3 - 14*y**2 - 51*y - 71. Give k(17). -71 Let c(i) = i**2 - 12*i - 24. Give c(12). -24 Let i(n) = -7*n**2 - 30*n + 22. Calculate i(-5). -3 Let x(g) = 2*g**3 + 62*g**2 - 133*g - 31. Calculate x(-33). 2 Let q(t) = -t**2 - 106*t - 2232. Give q(-77). 1 Let u(c) = -3*c**3 - 32*c**2 - 23*c - 29. Determine u(-10). 1 Let o(i) = i**3 - 6*i**2 - 12*i - 32. Give o(8). 0 Let c(m) = -5*m**3 - 24*m**2 + m - 13. What is c(-5)? 7 Let d(a) = a**2 - 22*a + 55. Determine d(10). -65 Let h(u) = u**3 + 260*u**2 + 3444*u + 6. Calculate h(-246). 6 Let o(w) = 2*w**2 - 15*w - 877. Calculate o(25). -2 Let y(k) = -3*k**2 + 794*k + 261. Give y(265). -4 Let y(m) = m**3 + 11*m**2 - 9*m - 6. Calculate y(-6). 228 Let p(j) = 2*j**2 + 16*j + 37. Calculate p(-2). 13 Let p(b) = 1307*b + 109795. Give p(-84). 7 Let w(u) = -34*u**2 - 986*u + 36. Give w(-29). 36 Let z(n) = -n**3 - n**2 - 110*n - 485. What is z(-4)? 3 Let z(d) = -d**2 + 18*d - 60. Determine z(16). -28 Let o(a) = 177*a + 872. Calculate o(-6). -190 Let p(c) = -2*c**2 - 56*c + 30. Give p(-30). -90 Let q(a) = -a**3 + 18*a**2 + 16*a + 118. What is q(19)? 61 Let f(u) = 5*u**2 + 53*u + 3. Calculate f(-5). -137 Let h(o) = -o**2 - 121*o - 1575. Give h(-106). 15 Let g(d) = 968*d + 4850. What is g(-5)? 10 Let u(r) = r**3 + 14*r**2 + 187*r + 2283. Give u(-13). 21 Let b(q) = -q**3 - 12*q**2 - 12*q + 142. Give b(-9). 7 Let u(j) = -465*j + 10. Determine u(0). 10 Let a(h) = 500*h + 5957. What is a(-12)? -43 Let y(s) = 112*s + 579. Calculate y(-8). -317 Let n(x) = x**2 - 51*x + 651. Determine n(40). 211 Let r(p) = 366*p + 1473. Determine r(-4). 9 Let w(d) = -d**3 - 14*d**2 - 19*d - 128. Determine w(-14). 138 Let b(p) = -2*p**3 - 2*p**2 - p + 16. Determine b(3). -59 Let l(m) = -m**3 - 21*m**2 + 198*m + 4455. What is l(-16)? 7 Let m(u) = -u**2 + 7*u + 7. Determine m(11). -37 Let d(f) = -f**2 + 47*f - 27. What is d(52)? -287 Let m(x) = x**3 + 31*x**2 - 272*x - 225. Determine m(-38). 3 Let p(s) = 314*s - 7848. Calculate p(25). 2 Let v(o) = 2*o**2 + 66*o + 535. Calculate v(-18). -5 Let t(s) = s**2 + 53*s - 420. Give t(7). 0 Let z(n) = 78*n + 58. Calculate z(3). 292 Let x(z) = -18*z + 89. Calculate x(11). -109 Let f(l) = l**3 + 38*l**2 - 35*l + 182. What is f(-39)? 26 Let u(g) = -51*g**2 - 202*g + 1. Determine u(-4). -7 Let a(k) = 12*k**2 - 36*k + 2. Calculate a(6). 218 Let b(p) = -p**3 + 13*p**2 - 258*p + 2269. Give b(9). 271 Let b(f) = f**3 - 35*f**2 - 378*f + 13. Give b(-8). 285 Let t(f) = -f**2 + 21*f - 396. Give t(21). -396 Let m(z) = -z**2 + 13*z + 299. Determine m(28). -121 Let d(u) = 93*u - 946. Give d(10). -16 Let g(l) = 5*l + 46. What is g(-8)? 6 Let p(h) = -54*h**3 - 5*h**2 + 91*h - 163. Determine p(2). -433 Let m(i) = -158*i + 801. Calculate m(5). 11 Let q(j) = 130*j**3 + j**2 + 17*j - 18. Calculate q(1). 130 Let g(x) = 683*x - 7411. Determine g(11). 102 Let j(a) = -a**3 + 17*a**2 + 71*a - 111. Calculate j(20). 109 Let p(o) = 24*o + 292. Calculate p(-10). 52 Let j(y) = -3*y**2 + y + 89. Determine j(-5). 9 Let z(o) = -o**2 + 29*o - 257. Give z(13). -49 Let p(r) = r**3 - 9*r**2 - 18*r + 33. Calculate p(11). 77 Let v(l) = -l**2 - 138*l - 921. Determine v(-7). -4 Let a(f) = -f**2 + 111*f + 687. Determine a(119). -265 Let w(g) = -194*g + 2900. Give w(14). 184 Let q(u) = -2*u**2 + 460*u + 458. What is q(-1)? -4 Let f(x) = -6*x**2 - 9*x - 16. Give f(-7). -247 Let i(b) = -52*b + 2030. Calculate i(39). 2 Let r(n) = -2*n - 53. Determine r(12). -77 Let x(w) = w**2 + 86*w - 657. Give x(7). -6 Let g(s) = s**3 - 12*s**2 - 17*s + 42. Give g(13). -10 Let b(r) = 3*r**3 + 115*r**2 + 42*r + 148. Calculate b(-38). -4 Let d(g) = -g**3 + 18*g**2 - 3*g + 82. Calculate d(17). 320 Let t(u) = 2426*u - 12156. Calculate t(5). -26 Let z(c) = 48*c**3 + 3*c**2 - 4*c + 2. Determine z(1). 49 Let s(z) = -2*z**2 + 63*z + 63. Determine s(33). -36 Let m(q) = 4041*q + 64662. What is m(-16)? 6 Let h(v) = -145*v + 3172. Give h(22). -18 Let m(j) = -376*j + 6725. What is m(18)? -43 Let d(m) = -1004*m - 15066. Determine d(-15). -6 Let u(w) = -w**2 + 18*w - 57. Calculate u(12). 15 Let j(v) = 58*v - 4750. Determine j(82). 6 Let o(a) = a**3 - 35*a**2 - 100*a - 557. Determine o(38). -25 Let s(u) = -267*u - 1075. Calcula
{ "pile_set_name": "DM Mathematics" }
lve 0 = -9*p + g*p - o*k - 25, -k = 0 for p. -5 Let s = -5 + 11. Let p(u) = -u**2 - 2*u - 3. Let x be p(-2). Let y = 3 + x. Solve s*a + v + 11 = 3*a, y = 2*a - 4*v - 2 for a. -3 Let y(g) = -g - 4*g**2 + 4*g - 2*g. Let f be y(-1). Let n(o) = -o**2 - 6*o - 1. Let p be n(f). Solve 3*a + p = -2*i, 0*i + 3*a = 2*i + 16 for i. -5 Let l(i) = 8*i**2 + i - 1. Let h be l(1). Let k = 15 + -6. Let y = k - 6. Solve 2*z + h = 4*p - 16, -y*p = -2*z - 19 for z. -2 Let t(n) = -n**3 - 4*n**2 - 3*n + 4. Let g be (-4)/2 - (-3)/(-3). Let a be t(g). Solve 3*s + 3 = 4*x - 7*x, a*s = 2*x - 16 for x. 2 Let q(p) = -p**2 - 5*p + 1. Let i be q(-4). Suppose 13 = 5*m - 12. Solve 3*v = 3*y + 1 - 4, i*v = -m for y. 0 Let p be 10/60 - 46/(-12). Solve -5*x - 21 = p*k, -4*x - 15 = -2*k + 7*k for x. -5 Let s(a) = -21*a - 3. Let u be s(-1). Solve x + u = -3*p - x, -5*p - 14 = -2*x for p. -4 Suppose -10 = -9*q + 4*q. Solve 0*k - u - 16 = -3*k, 4*k + q*u - 8 = 0 for k. 4 Let z be 3 + (-6)/3 - -1. Let v(r) = r**2 - 2. Let q be v(z). Suppose b - 5 + q = 0. Solve 3*l + 0*s = 5*s + 2, -3*l + b*s = 0 for l. -1 Let p = 10 + 15. Solve -5*r = 3*j - p, -15 = -4*r - 3*j + 8 for r. 2 Let f(g) = -g - 5. Let k be f(-5). Suppose k = 3*c + 6. Let m be 15/(5 + c) + -2. Solve -2*h - o + 13 = 0, m*o = 4*h + 6*o - 31 for h. 4 Let h = -44 - -30. Suppose 3*a - 19 = -2*s, a - 29 = -3*s + 10. Let n be ((-12)/s)/(2/h). Solve -n*w + 2*w - 2 = x, -3*w - 13 = -5*x for w. -1 Suppose 4*r - r = 0. Suppose -q - q + 4 = r. Suppose 0 = -2*h - k + 14, 8 = -0*k + q*k. Solve -45 = -5*w - 5*d, 0*d + 29 = w + h*d for w. 4 Suppose -2*i = -3*i - 3*h + 4, 4*h = 0. Let f be (-81)/15 - (-8)/20. Let a(m) = -m**2 - 5*m + 4. Let k be a(f). Solve 5*q = -j - i - 20, 4*j - 5*q = k for j. -4 Suppose -t = -4*x - 2, -t - 4*t + 10 = -x. Let h = -43 - -43. Solve 3*i - 5*q + 15 = x, -i - 2*q - 2*q + 12 = h for i. 0 Suppose -t + 3*d + 7 = -d, 16 = 5*t - d. Suppose -j - 4*m + 14 = j, 3*j - 2*m - 13 = 0. Suppose j = 3*q - 19. Solve -4*s = -5*r + q, t*s + 9 = 2*s + 3*r for s. 3 Let f(k) = 3*k - 2. Let j be f(6). Suppose 22 = 2*r - 5*m + 2, 2 = -m. Solve -w = r*p, p - 2 + j = -3*w for w. -5 Suppose -3*n = -0*n + 2*s, -2*s = -5*n + 16. Solve -n*w - 24 = k - 5*k, 2*w - 11 = -3*k for k. 5 Suppose 5*w + 5*n = 0, -n + 3*n = -w - 2. Solve -2*k + 4 = w*c, -4*c + 7*c - 5*k = -18 for c. -1 Let b(z) = -2*z + 13. Let p be b(11). Let g be (42/p)/((-4)/6). Suppose g*w - 10 = 2*w. Solve 4*f - 8 = -4*j, f - 2*j - j + w = 0 for f. 1 Let n be (-2)/2 + 2 + -1. Solve n = 4*m + 3*f - 2, -2*f - 3*f + 13 = -3*m for m. -1 Let j = 14 - 11. Let w = j + 1. Solve 0*o = -w*o + 20, -4 = -4*a - 4*o for a. -4 Suppose 3*r = b + 10, -r - r + 2*b + 12 = 0. Solve -13 = -o - 5*x, -4*o + r*x - 2 = 12 for o. -2 Let j = 3 + 1. Suppose -17*v + 19*v - 15 = -3*s, 3*s = 3*v + 15. Solve v = d + 2*i + 9, d + 2*d - j*i + 7 = 0 for d. -5 Let h(o) = o**2 + 9*o - 7. Let g be h(-10). Solve -2*x + 12 = -g*n, -4 = -4*x - 0*x - 4*n for x. 3 Let q = -20 + 10. Let f = q + 19. Suppose 0*w - 4 = -w. Solve -4*t = -5*v + t, -w*v - f = -t for v. -3 Let z = -18 + 27. Suppose -m + z = 2*m - 3*k, m = -2*k. Solve -2*t + 0*x - 3*x = 3, -3*t = -m*x - 15 for t. 3 Let l(x) = x**2 + 7*x + 5. Let g be l(-7). Let n = 12 - g. Suppose n*s = 5*s. Solve s = -i - 5*c + 25, -5 = -0*i - i - c for i. 0 Suppose -2*u + 2 + 4 = 0. Let v = 2 - 4. Let n(b) = -3*b**3 - 2*b**2 + 2. Let g be n(v). Solve -2 - 4 = -5*o - 4*r, u*r - g = 3*o for o. -2 Suppose -2*z - d = 3*z + 7, 3*z = -3*d - 9. Let a = z - -3. Let h = 0 + a. Solve -2*g - 18 = -t - 4*t, t - h*g = 2 for t. 4 Let t be ((-8)/6 + 1)*-15. Let r(m) = 6*m - m**3 + 36 + 4*m**2 + 0*m - 29. Let u be r(t). Solve -4*z + u = 4*i, -3*z - 2*i = -4*i - 14 for z. 4 Let m = -52 + 56. Solve -m*c = -20 - 0, -f - 4*c + 22 = 0 for f. 2 Let q(j) = -j**3 - 4*j**2 + 2*j - 4. Let w(m) = m**2 - 7*m + 6. Let i be w(4). Let y be q(i). Suppose -3*t + y = -10. Solve 6 - 2 = 2*v, t = -4*u + 5*v for u. -3 Let n be (-138)/(-5) + (-3)/5. Let p be (-28)/(-5) - n/45. Solve -3*u + 12 = v, -u - p*v + 17 = -1 for u. 3 Let i(p) = p**2 + 3*p - 6. Let g be i(-5). Solve 5*o = -g*q - 14, 3*q + 5*o - o + 11 = 0 for q. -1 Let p be (1 - 22)/(18/132). Let z be 3/(-12) + p/(-8). Solve 0 = 5*b - c + 4*c + z, b - c = -7 for b. -5 Let s = -19 + 22. Let r be 2 + -1 + 8 + 1. Suppose -50 = -s*u + r. Solve 3*v + u = 7*v + 4*o, 5*o - 5 = -v for v. 5 Let s = -10 + 25. Suppose 8 = w - 2*r, -3 - s = -2*w + 5*r. Solve -w*i - 4 = 2*d, -2*d - i - 8 = 2*d for d. -2 Suppose 27 - 9 = 5*p + 4*o, -2*o = -4. Let i = p + 2. Suppose k - i = -g + 3, -2*g + 17 = 3*k. Solve -r - g*r - 20 = 5*b, -25 = 4*r - 5*b for r. -5 Let s be (-34)/(-10) - 4/10. Let w be (-8)/((-6)/(-3)) + 3. Let v = s - w. Solve v*l - 4*f - 6 = f, 0 = -l - 2*f + 8 for l. 4 Let a be -28 - -37 - 5*1. Solve 0 = -s - s + 3*k + 2, a*k = -5*s + 28 for s. 4 Let b(a) = 5*a**2 + a - 1. Let c be b(1). Suppose -c*w + 3 = -17. Solve 0*u - i + 13 = 5*u, -5*u + w*i - 2 = 0 for u. 2 Let m(v) = -2*v**3 - v**2 - 3. Let a be m(-3). Suppose 0*k = -k - a. Let f be k/(-8) + 3/(-12). Solve 3*n = 5*n, f*b - 25 = -3*n for b. 5 Suppose 0 = o + o. Solve -3*y + 5*c + 0*c = 0, -2*y - 4*c = o for y. 0 Suppose 4*x - 20 = 0, 3*a - 36 - 8 = -4*x. Solve h - 3*m = -a - 10, -11 = -3*h - 4*m for h. -3 Let k(h) = -h**2 + 9*h - 2. Let q be k(9). Let j(d) = 2*d**2 + 3*d. Let g be j(q). Solve -g*r - 5*c = 24 - 4, 12 = 5*r - 3*c for r. 0 Let i be (-34)/(-7) + (-2)/(-14). Let p be ((-2)/(-5))/((-1)/(-5)). Let b be i + (2/p - 4). Solve 6*z = -5*f + 2*z + 45, -b*f + 5*z - 15 = 0 for f. 5 Suppose -4*n = 5*z - 2, 4 = 3*z + 2*n - n. Suppose z*t - 5*t = -12. Solve 3*w - 2*w = t*q, 0 = -5*w for q. 0 Suppose d + 14 = 8*d. Solve -10 = 4*i + p, 5*i = -p - d*p - 16 for i. -2 Let p(g) = -2*g + 1. Let h be p(-3). Suppose 0 = -h*q + 3*q + 8. Let n = 1 - 1. Solve 4*o - 16 + 1 = 3*t, n = q*o + 3*t - 3 for o. 3 Suppose -o + m + 3*m = -23, 4*m + 11 = -3*o. Suppose -x = o*x. Solve 4*a - p = -1, 4*a + x*p - 14 = -2*p for a. 1 Suppose -2*f = 2*c - 6 - 8, f = 0. Let j be (c/(-2))/(2/(-4)). Solve -4*z + s + 2*s - j = 0, 4*z + 3*s = -1 for z. -1 Suppose -2*i = -5*i - 90. Let c be (-124)/(-10) - (-12)/i. Solve b + 15 = -5*y, 0*b = b + 4*y + c for b. 0 Let b(s) = 8*s**2 - s + 2. Let j be b(1). Let d = j - 7. Solve -i - i + 10 = 2*n, -d*n + 3*i = 0 for n. 3 Let q = 45 + -29. Solve -d - 4 = -3*b, 6*d + q = -b + 2*d for b. 0 Suppose i - 6 = g, i - 5*i + 19 = g. Solve -p - i = 2*u, 5*u + 10 = -4*p - 1 for u. -3 Let u(h) = -h**2 + 4*h + 6. Let m be u(4). Suppose m*q = q. Solve q = 5*v - 5, v - 4 + 0 = -t for t. 3 Let u be (-10)/(-4)*(-24)/(-20). Let r be (-428)/(-20) - u/(-5). Solve r + 14 = -4*i + 5*c, 20 = 5*c for i. -4 Let l(m) = m**2 + 5*m + 2. Let p be l(-4). Let a = 14 + -10. Let j be p/(-3) + a/(-6). Solve -4 = -0*w + 2*w - r, j = 5*w + 3*r + 32 for w. -4 Let g = 9 - 4. Solve 8 = g*h - 7, 4*h = -5*v - 8 for v. -4 Let r(s) = -s**3 + 4*s**2 - 5*s - 1. Let q be r(5). Let y be -1 + 1 + 1 - q. Let k = y + -28. Solve -2*a - 4 = x - 11, -5*x + a = -k for x. 5 Let t(i) = -i**3 - i**2 + i + 2. Let b be t(0). Let l be b*(9/(-6) - -2). Let y = l + 10. Solve -3*p - 2*g - g - 9 = 0, g + y = 3*p for p. 2 Let p(j) = 31*j - 11. Let n be p(6). Suppose -2*r - 5*r = -n. Solve 5*k + r = -2*l, 3*k + 0*l + 14 = -l for k. -3 Let r(v) = -3*v + 4. Let f(i) = 4*i - 5. Let c(t) = -2*f(t) - 3*r(t). Let o be c(5). Solve -4 = 3*x + o*a - 2*a, a = -x - 2 for x. -1 Suppose 4*o - 5*o + 2*w = 0, 0 = -4*o + 2*w. Suppose -r - 3 + o = 0. Let c = r - -8. Solve 5*p = y + 7 + 5, -3*y = -c*p + 6 for y. 3 Suppose -24 = -0*t + 2*t. Let b = -8 - t. Solve -5*w = -b*q - 1, -5*q = w + 3*w + 32 for w. -3 Let y be 11 + 0 + 0 + 3 + -1. Solve 4*i - i = -2*a - y, -2*a = -2 for i. -5 Let k be 0/(2 + -4) - -28. Let a = -8 + k. Solve 2*p = -2*m + a, 3*p - p - 10 = 0 for m. 5 Suppose -2*y = -4*s + 12, -s + 8 = y + y. Suppose -6*c + 4 = -2*c. Suppose -29 + c = -s*z. Solve -z = 2*o + 5*n, 4*o - 5*n - 37 + 6 = 0 for o. 4 Suppose 5*x + 2*m = 44, 5*x = 2*m + 45 - 9. Let z(w) = -w + 5. Let d be z(0). Solve d*t = -2*o + 1 - x, 0 = -4*t - 3*o for t. -3 Suppose 2*b - 5 = -4*u + 3*u, 3*u - 15 = -2*b. Solve 3*p - 3*r = 27, -2*p + 13 = -5*p - u*r for p. 4 Suppose -7*a = 4*a - 33. Solve -5*n +
{ "pile_set_name": "DM Mathematics" }
What is the greatest common factor of 22 and c? 11 Let k(z) = -z**3 - 3*z**2 + 10*z + 8. Let g be k(-6). Calculate the highest common factor of 7 and g. 7 Let f = 272 - 103. Calculate the highest common factor of 13 and f. 13 Suppose 0 = 2*t + 1 + 13. Let f be 14/t - (-16 + 0). Calculate the highest common divisor of f and 21. 7 Let u(p) = 2*p**3 - 4*p**2 + p + 4. Let d be u(4). Let q = 31 + 17. Suppose m - 9 - 5 = -2*o, -q = -5*o + 4*m. Calculate the greatest common factor of d and o. 8 Suppose 0 = u - 3*w - 23, -6 + 16 = -5*w. What is the highest common factor of 85 and u? 17 Let v be (-2 + (-2)/4)*312/(-15). Calculate the highest common factor of 104 and v. 52 Let z(u) = u**2 - 5*u + 4. Let c be z(3). Let w = c + 2. Suppose -m + 2*m - 3 = w. What is the highest common factor of m and 3? 3 Suppose -20 = -0*o + 2*o. Let x be (-2)/o - 29/(-5). Suppose -w + 6 = s + s, -w - x = -4*s. What is the greatest common divisor of 14 and w? 2 Suppose -2*b - 4*a + 652 = b, 0 = -b - 5*a + 210. Let z be (1/(-2))/((-1)/b). What is the highest common factor of 10 and z? 10 Let n be 69/(-1)*2/3. Let q = 94 + n. What is the highest common divisor of 6 and q? 6 Let a(i) = 2*i. Let f be a(1). Suppose -3*j = f*j - 160. What is the highest common factor of 4 and j? 4 Let b = 96 - 74. What is the greatest common factor of b and 242? 22 Let b be 4 + (0 - 0) + 0. Suppose -w - 2*j - 8 = -3*j, -5*j = -b*w - 27. Let n = 30 + w. Calculate the greatest common divisor of 187 and n. 17 Suppose -4*g = -4*w + 236, -5*g - 187 = -3*w - 0*w. What is the greatest common factor of 6 and w? 6 Let j(g) = -15*g**3 - g. Let f be 3/(-1)*1/3. Let z be j(f). Let d(p) = 3*p**2 - 8*p - 56. Let r be d(-4). Calculate the greatest common factor of r and z. 8 Let i(z) = -5*z**3 - 2*z**2 - 2*z - 1. Let r be i(-1). Suppose 9*d = r*d + 25. What is the greatest common divisor of 10 and d? 5 Let c be (1 - 1)*2/2. Suppose 5*b - 30 - 35 = c. Let g = -31 + 44. What is the highest common divisor of g and b? 13 Let v be (-3 - -1)/(2/27). Let l = 40 + v. Suppose 356 = 4*t - 4*z, -t - 4*z - z + 101 = 0. What is the highest common divisor of t and l? 13 Suppose 0*d + 2*d + 14 = 0. Let i = d - -11. Calculate the highest common factor of i and 20. 4 Suppose 0 = -3*q + 2*q + 8. Let u = q - 3. Calculate the greatest common divisor of u and 20. 5 Let i = -2 + 4. Let j be ((-51)/2)/((-1)/i). Suppose 0*s + 11 = 2*l + 3*s, 2*l = 5*s + j. Calculate the greatest common factor of 13 and l. 13 Suppose -2*l + 4 = -74. Let h be 912/13 + (-6)/l. What is the highest common factor of 10 and h? 10 Let g be (-6)/9 + (-329)/(-21). Let c = -7 - -11. Suppose c*q - 318 = 2*q + 4*y, q - y - 162 = 0. Calculate the highest common factor of q and g. 15 Let h(i) = -2*i**3 - 2*i**2 - i - 1. Let g = -7 - -4. Let u be h(g). Let c be (-1)/2 - u/(-4). Calculate the highest common factor of 6 and c. 3 Let s(p) = p**3 + 6*p**2 + 5*p + 2. Let c be s(-4). Calculate the greatest common factor of c and 28. 14 Suppose -35 = -5*d - 20. Calculate the greatest common factor of 12 and d. 3 Suppose 3*f - 48 = f. Let i(z) = -3 + 30*z + 3. Let u be i(2). What is the greatest common factor of f and u? 12 Suppose -v = 3*q + 4, 14 = 5*v - 11. Let z(l) = -4*l - 2. Let p be z(q). Let s = p + -3. What is the greatest common factor of s and 28? 7 Let c(v) = -v**2 + 1. Let q be c(-3). Let o be q/(-6) + 2/3. Suppose 6 = 4*i - 2. Calculate the highest common divisor of o and i. 2 Let c be (-3)/6 - 38/(-4). Let g be (-1)/(-4 - -5) + 28. Calculate the greatest common divisor of g and c. 9 Suppose 4*f = -f + 385. Let a be 3 + -5 + 2 + f. What is the highest common divisor of a and 11? 11 Suppose -2*n = 5*c - 50, -5*n + 4*c = -28 - 31. What is the highest common factor of 105 and n? 15 Suppose 0 = -2*l + 26 - 90. Let f be (-2 - -5)*(-45)/3. Let a = l - f. Calculate the greatest common factor of a and 13. 13 Let k(u) = 4*u**2 - 13*u - 2. Let f be k(-6). Calculate the greatest common divisor of f and 20. 20 Suppose 0 = i + 2*q - 74, -82 = -i - 0*i - 4*q. Calculate the highest common factor of i and 6. 6 Suppose -2*z + 4*v = -112, 0 = -z - z + 5*v + 108. Calculate the greatest common divisor of z and 96. 32 Let d(s) = s**3 - 3*s**2 - 2*s - 1. Let z be d(5). Suppose y - z = -2*y. Calculate the highest common divisor of y and 91. 13 Let i = -2 + 56. What is the greatest common factor of 6 and i? 6 Suppose 13*k + 5 = 161. Calculate the greatest common divisor of k and 16. 4 Suppose 4*s - 32 = 6*g - 2*g, -5*g = -5. Calculate the greatest common divisor of 9 and s. 9 Let y(k) = -k**2 + 21*k + 56. Let z be y(23). Calculate the greatest common factor of 50 and z. 10 Let y = 6 - 1. Let x = -9 + 7. Let r = y + x. What is the highest common factor of r and 27? 3 Suppose -3*y + 121 = -2*i + 3*i, -3*y + 5*i = -97. Let t = y - -28. Suppose f - t = -5*z + 2*f, -20 = -z - 2*f. What is the highest common factor of z and 2? 2 Let n(j) = -j**2 + 14*j - 4. Let c be n(13). What is the highest common factor of 99 and c? 9 Let t(a) = 12*a**2 + a - 5*a - 5*a**2 - a**3 + 2*a. Let d be t(6). What is the greatest common divisor of 12 and d? 12 Suppose 2*l + 5 = 25. Let n be -4*(-8)/(-12)*-15. What is the greatest common factor of n and l? 10 Let m be (6/2)/(-3) + 2. Let b be -2 + m + (2 - -31). Suppose -i - 32 = -4*t, -15 = -2*t + 5*i + 1. What is the highest common factor of b and t? 8 Let j = -25 - -1. Let m = j - -60. What is the greatest common factor of m and 24? 12 Suppose 4*y = 15 - 3. Let g(s) = 126 - 3*s**2 - y*s + 2*s + 4*s**2. Let b be g(0). What is the highest common divisor of 14 and b? 14 Let b be (2/(-3))/(3/153). Let g = b + 47. Let h = -8 + g. Calculate the greatest common divisor of 55 and h. 5 Suppose 252 + 280 = 4*f. Calculate the highest common factor of 19 and f. 19 Let i(n) = n**3 - n**2 - 4*n + 4. Let q be i(6). What is the greatest common divisor of 20 and q? 20 Let o = -4 + 11. Let z(w) = -w**3 + 8*w**2 - 5*w - 1. Let v be z(o). Calculate the greatest common factor of v and 13. 13 Suppose 226 = 5*f + 6. Suppose -84 = -0*v - 4*v. Let a = v + -10. Calculate the greatest common factor of f and a. 11 Let j(k) = -10*k + 3. Let f(d) = -5*d + 1. Let c(y) = -9*f(y) + 4*j(y). Let x be c(5). Let u = 10 - 6. Calculate the highest common divisor of u and x. 4 Let i = -73 - -149. Suppose i + 4 = 5*g. Let w be (g/10)/((-1)/(-25)). Calculate the greatest common factor of w and 10. 10 Let p = 9 - -1. Let s = p - 1. Calculate the greatest common factor of 18 and s. 9 Let x = -214 - -312. Let u be 4/(-14) + (-594)/(-21). Suppose 0*w - u = -2*w. Calculate the greatest common divisor of w and x. 14 Let l = -87 + 55. Let y be (-15)/6*l/10. What is the greatest common divisor of y and 88? 8 Suppose -m = -u + 33, 11 = u + 3*m - 18. Let r = -5 - -3. Let o be (-3)/r*(-8)/(-3). What is the highest common factor of u and o? 4 Let a(s) = 68*s**2 + s - 1. Let o be a(1). Suppose 10 = 5*i, -i = 2*b + 3*i - o. Calculate the greatest common factor of 75 and b. 15 Let r be 0 + (-4)/((-12)/(-69)). Let j = r + 47. Calculate the highest common factor of 3 and j. 3 Let r(k) = 13*k - 1. Let n be r(1). Let g = -2 + 3. Let z(b) = 61*b - 1. Let x be z(g). Calculate the highest common divisor of n and x. 12 Let u = -7 + 9. Suppose 0 = 5*p, 2*p - 6*p = -2*c + 2. What is the highest common divisor of u and c? 1 Let s be (-4)/10*(-9 - 6). Suppose -s*t - 105 = -t. Let a be 2/(-14) + (-3993)/t. Calculate the greatest common factor of a and 19. 19 Let w(j) = j**3 - 14*j**2 + 3*j + 13. Let n be w(14). What is the greatest common divisor of n and 11? 11 Suppose -3*u - 3*g - 2*g = 11, 20 = 4*u - 2*g. Suppose 5 + u = 2*n. Let d = -5 - -7. What is the greatest common divisor of d and n? 2 Let z = 11 - 2. Suppose -y + z + 6 = 0. Suppose 5*h - 250 = -5*n, -n + 245 = 5*h + 3*n. What is the greatest common factor of y and h? 15 Let h be (2/(-2))/1 - -2. Let t(i) = 10*i. Let j be t(h). Suppose 5*v - 3*q - 215 = 0, -2*v - v = -2*q - 130. What is the highest common divisor of j and v? 10 Let z be (11/(-4))/((-12)/240). Suppose -2*r + 3 - 9 = 0, -52 = -a - 2*r. Suppose -14 = 2*v - a. Calculate the greatest common factor of z and v. 11 Let d(o) = o**3 - 3*o**2 - 5*o + 4. Let x be d(4). Let s be (1 - 2) + 14 + x. What is the gr
{ "pile_set_name": "DM Mathematics" }
+ 2*x**2 - x + 15 What is the l'th term of -1568, -3135, -4702, -6269? -1567*l - 1 What is the y'th term of -21, -88, -201, -360, -565, -816? -23*y**2 + 2*y What is the r'th term of -95, -103, -127, -173, -247, -355? -r**3 - 2*r**2 + 5*r - 97 What is the g'th term of -34, -107, -234, -415, -650, -939? -27*g**2 + 8*g - 15 What is the d'th term of -961, -966, -971? -5*d - 956 What is the y'th term of 97, 179, 261, 343, 425, 507? 82*y + 15 What is the o'th term of 0, 19, 52, 105, 184, 295, 444, 637? o**3 + o**2 + 9*o - 11 What is the m'th term of 3, -2, -31, -96, -209? -2*m**3 + 9*m - 4 What is the u'th term of -353, -704, -1055, -1406, -1757? -351*u - 2 What is the l'th term of 1, 32, 85, 160, 257, 376? 11*l**2 - 2*l - 8 What is the a'th term of 5, 0, -9, -22, -39, -60? -2*a**2 + a + 6 What is the s'th term of 10, 40, 116, 262, 502, 860, 1360, 2026? 4*s**3 - s**2 + 5*s + 2 What is the w'th term of -32, -67, -104, -143, -184, -227, -272? -w**2 - 32*w + 1 What is the b'th term of -8, -13, -26, -47? -4*b**2 + 7*b - 11 What is the j'th term of -4, -21, -44, -73, -108, -149, -196? -3*j**2 - 8*j + 7 What is the g'th term of 3739, 7475, 11211, 14947? 3736*g + 3 What is the w'th term of -22, 5, 32, 59, 86, 113? 27*w - 49 What is the a'th term of 29, 47, 51, 35, -7? -a**3 - a**2 + 28*a + 3 What is the g'th term of -25, -36, -55, -88, -141? -g**3 + 2*g**2 - 10*g - 16 What is the f'th term of 242, 263, 298, 347, 410, 487? 7*f**2 + 235 What is the q'th term of 215, 433, 653, 875, 1099, 1325, 1553? q**2 + 215*q - 1 What is the j'th term of 13, 24, 41, 64, 93, 128? 3*j**2 + 2*j + 8 What is the i'th term of 719, 715, 711? -4*i + 723 What is the w'th term of -566, -560, -550, -536, -518? 2*w**2 - 568 What is the c'th term of -1487, -1488, -1489, -1490, -1491? -c - 1486 What is the c'th term of -720, -716, -710, -702, -692, -680, -666? c**2 + c - 722 What is the i'th term of -2602, -10413, -23424, -41629, -65022, -93597, -127348? i**3 - 2606*i**2 + 3 What is the g'th term of -335, -689, -1039, -1385, -1727, -2065? 2*g**2 - 360*g + 23 What is the q'th term of -8101, -8106, -8121, -8152, -8205, -8286? -q**3 + q**2 - q - 8100 What is the s'th term of 1557, 1562, 1569, 1578, 1589? s**2 + 2*s + 1554 What is the n'th term of -3107, -6208, -9309, -12410, -15511, -18612? -3101*n - 6 What is the p'th term of 1006, 1015, 1038, 1081, 1150, 1251, 1390, 1573? p**3 + p**2 - p + 1005 What is the r'th term of 11, 11, 9, 5? -r**2 + 3*r + 9 What is the m'th term of 48, 99, 164, 249, 360, 503, 684, 909? m**3 + m**2 + 41*m + 5 What is the w'th term of 94, 95, 98, 103, 110, 119? w**2 - 2*w + 95 What is the q'th term of -139, -273, -405, -535, -663, -789? q**2 - 137*q - 3 What is the b'th term of -1071, -2140, -3209, -4278, -5347? -1069*b - 2 What is the f'th term of 298, 1203, 2704, 4795, 7470? -f**3 + 304*f**2 - 5 What is the f'th term of 52, 50, 50, 52? f**2 - 5*f + 56 What is the h'th term of -23, -146, -483, -1142, -2231? -18*h**3 + h**2 - 6 What is the t'th term of -327, -654, -981, -1308, -1635? -327*t What is the b'th term of -7, 3, 27, 71, 141? b**3 + b**2 - 9 What is the t'th term of 38, 40, 42, 44? 2*t + 36 What is the i'th term of 864, 861, 858, 855, 852? -3*i + 867 What is the f'th term of 491, 1000, 1509, 2018? 509*f - 18 What is the b'th term of -155, -296, -437, -578, -719? -141*b - 14 What is the x'th term of -62, -199, -490, -1013, -1846, -3067, -4754? -13*x**3 + x**2 - 49*x - 1 What is the d'th term of -673, -1346, -2019, -2692, -3365, -4038? -673*d What is the a'th term of -6882, -6877, -6862, -6831, -6778? a**3 - a**2 + a - 6883 What is the r'th term of -14, -41, -92, -173, -290, -449? -r**3 - 6*r**2 - 2*r - 5 What is the d'th term of 40, -49, -196, -395, -640, -925, -1244? d**3 - 35*d**2 + 9*d + 65 What is the n'th term of -116, -428, -954, -1700, -2672, -3876, -5318? -n**3 - 101*n**2 - 2*n - 12 What is the j'th term of 34, -14, -102, -236, -422? -j**3 - 14*j**2 + j + 48 What is the i'th term of -92, -185, -282, -383, -488, -597? -2*i**2 - 87*i - 3 What is the y'th term of 1810, 3579, 5336, 7075, 8790? -y**3 + 1776*y + 35 What is the n'th term of 870, 1740, 2610, 3480? 870*n What is the f'th term of 3, 12, 27, 48? 3*f**2 What is the s'th term of 15, 5, -5? -10*s + 25 What is the g'th term of -44, -80, -126, -188, -272, -384, -530, -716? -g**3 + g**2 - 32*g - 12 What is the p'th term of -137, -154, -191, -254, -349, -482, -659? -p**3 - 4*p**2 + 2*p - 134 What is the s'th term of 55, 59, 67, 79, 95? 2*s**2 - 2*s + 55 What is the v'th term of 22, 87, 248, 553, 1050, 1787, 2812, 4173? 8*v**3 + 9*v + 5 What is the s'th term of 42, 94, 146, 198, 250? 52*s - 10 What is the q'th term of -1370, -1375, -1374, -1361, -1330, -1275, -1190, -1069? q**3 - 3*q**2 - 3*q - 1365 What is the z'th term of -36, -19, 0, 21? z**2 + 14*z - 51 What is the h'th term of -239, -256, -299, -380, -511, -704, -971? -2*h**3 - h**2 - 236 What is the w'th term of -5, -41, -109, -215, -365, -565, -821? -w**3 - 10*w**2 + w + 5 What is the q'th term of -32, -36, -40, -44? -4*q - 28 What is the h'th term of 32, 129, 294, 527, 828, 1197? 34*h**2 - 5*h + 3 What is the t'th term of -1004, -1021, -1052, -1103, -1180, -1289, -1436? -t**3 - t**2 - 7*t - 995 What is the h'th term of -13, -37, -77, -133, -205, -293? -8*h**2 - 5 What is the o'th term of 403, 420, 447, 484? 5*o**2 + 2*o + 396 What is the g'th term of -81, -100, -121, -144, -169, -196, -225? -g**2 - 16*g - 64 What is the v'th term of -238, -482, -726, -970, -1214? -244*v + 6 What is the d'th term of -128, -119, -108, -95, -80, -63, -44? d**2 + 6*d - 135 What is the w'th term of -713, -708, -693, -662, -609, -528? w**3 - w**2 + w - 714 What is the l'th term of -25, -26, -27? -l - 24 What is the u'th term of 521, 518, 505, 476, 425, 346? -u**3 + u**2 + u + 520 What is the w'th term of -2, -25, -66, -125, -202? -9*w**2 + 4*w + 3 What is the y'th term of -40, -82, -150, -256, -412? -2*y**3 - y**2 - 25*y - 12 What is the u'th term of 1113, 1107, 1097, 1083, 1065? -2*u**2 + 1115 What is the q'th term of -2974, -2972, -2970, -2968, -2966, -2964? 2*q - 2976 What is the y'th term of -148, -147, -146, -145, -144? y - 149 What is the v'th term of 1974, 1972, 1968, 1962, 1954? -v**2 + v + 1974 What is the l'th term of 10, -1, -26, -71, -142? -l**3 - l**2 - l + 13 What is the i'th term of -394, -340, -284, -226, -166? i**2 + 51*i - 446 What is the a'th term of -1072, -1073, -1074, -1075? -a - 1071 What is the h'th term of -2084, -4169, -6256, -8345, -10436, -12529, -14624? -h**2 - 2082*h - 1 What is the v'th term of -1, -20, -73, -178, -353, -616, -985? -3*v**3 + v**2 - v + 2 What is the w'th term of -902, -901, -888, -857, -802, -717, -596, -433? w**3 - 6*w - 897 What is the g'th term of -52, -102, -166, -250, -360, -502, -682, -906? -g**3 - g**2 - 40*g - 10 What is the l'th term of -964, -1922, -2876, -3826, -4772, -5714, -6652? 2*l**2 - 964*l - 2 What is the v'th term of -14, -28, -44, -62, -82, -104? -v**2 - 11*v - 2 What is the y'th term of 18108, 36217, 54326, 72435, 90544? 18109*y - 1 What is the x'th term of 289, 585, 891, 1213, 1557, 1929? x**3 - x**2 + 292*x - 3 What is the k'th term of -38, -45, -42, -23, 18, 87, 190, 333? k**3 - k**2 - 11*k - 27 What is the z'th term of 36, 79, 124, 171? z**2 + 40*z - 5 What is the k'th term of -273, -545, -817, -1089? -272*k - 1 What is the v'th term of -2373, -2380, -2393, -2412, -2437, -2468? -3*v**2 + 2*v - 2372 What is the j'th term of 429, 431, 445, 477, 533, 619? j**3 - 5*j + 433 What is the j'th term of -142, -270, -396, -520, -642, -762, -880? j**2 - 131*j - 12 What is the s'th term of 7000, 7001, 7002, 7003? s + 6999 What is the f'th term of -23811, -47610, -71399, -95172, -118923, -142646, -166335? f**3 - f**2 - 23803*f - 8 What is the r'th term of -5, -1, 7, 19? 2*r**2 - 2*r - 5 What is the b'th term of -473, -479, -493, -521, -569, -643, -749? -b**3 + 2*b**2 - 5*b - 469 What is the t'th term of 3331, 3334, 3347, 3376, 3427? t**3 - t**2 - t + 3332 What is the i'th term of 318, 325, 338, 357, 382, 413? 3*i**2 - 2*i + 317 What is the n'th term of 36, -13, -62, -111, -160, -209? -49*n + 85 What is the m'th term of 39, 63, 85, 105? -m**2 + 27*m + 13 What is the t'th term of -681, -683, -685, -687,
{ "pile_set_name": "DM Mathematics" }
ob of picking 3 c? 0 Four letters picked without replacement from {i: 8, n: 3, x: 5}. What is prob of picking 2 i and 2 x? 2/13 Calculate prob of picking 1 a, 1 y, and 2 m when four letters picked without replacement from mamjjemymmaaj. 6/143 Four letters picked without replacement from {b: 1, h: 3, j: 5}. Give prob of picking 1 h and 3 b. 0 Four letters picked without replacement from udtoiowwd. What is prob of picking 1 t, 1 d, and 2 w? 1/63 Four letters picked without replacement from {s: 1, e: 10, b: 4, f: 4}. What is prob of picking 4 e? 35/646 Two letters picked without replacement from rdrcrrrcrcarrpcrpr. What is prob of picking 1 a and 1 r? 10/153 What is prob of picking 3 h when three letters picked without replacement from nznhznhohozhh? 5/143 Three letters picked without replacement from ldlllllllldll. Give prob of picking 2 l and 1 d. 5/13 Calculate prob of picking 2 r when two letters picked without replacement from rjrjrjrjrjrjjejjjjj. 5/57 What is prob of picking 2 c and 1 e when three letters picked without replacement from {n: 4, c: 3, e: 11}? 11/272 What is prob of picking 1 m and 1 g when two letters picked without replacement from {i: 1, g: 3, y: 3, p: 2, m: 10}? 10/57 Two letters picked without replacement from jfjjvjtjfjjjfxvfxtjf. Give prob of picking 1 j and 1 t. 9/95 Two letters picked without replacement from xxxeexxxxxx. Give prob of picking 1 e and 1 x. 18/55 Calculate prob of picking 2 t when two letters picked without replacement from tjt. 1/3 What is prob of picking 1 h and 1 g when two letters picked without replacement from {v: 6, h: 4, n: 1, g: 4}? 16/105 Calculate prob of picking 1 y, 1 w, and 1 t when three letters picked without replacement from ypyypnnwypyptyptyy. 1/51 Three letters picked without replacement from {b: 1, t: 12}. What is prob of picking 3 t? 10/13 Three letters picked without replacement from emmm. Give prob of picking 1 e and 2 m. 3/4 Three letters picked without replacement from {r: 1, c: 1, g: 3, b: 3, f: 1, p: 6}. Give prob of picking 1 b, 1 g, and 1 r. 9/455 What is prob of picking 1 z and 1 t when two letters picked without replacement from {z: 2, i: 1, t: 1, j: 1, h: 2, d: 1}? 1/14 What is prob of picking 2 t and 2 i when four letters picked without replacement from ptppttpipi? 1/70 Two letters picked without replacement from hhhhhhhhhbgbhbhh. Give prob of picking 2 b. 1/40 Two letters picked without replacement from {x: 2, a: 1, n: 1, q: 3, s: 4, f: 7}. What is prob of picking 2 q? 1/51 Three letters picked without replacement from {h: 7, x: 9}. Give prob of picking 1 x and 2 h. 27/80 What is prob of picking 3 f when three letters picked without replacement from lfllflllflfffllf? 1/16 Two letters picked without replacement from {g: 6, n: 1, y: 1, r: 1}. Give prob of picking 1 y and 1 g. 1/6 What is prob of picking 3 c and 1 o when four letters picked without replacement from xxuuuflccuocxoclxfc? 5/969 What is prob of picking 1 j, 1 k, and 1 g when three letters picked without replacement from kjkapkkkkkgk? 2/55 What is prob of picking 1 b and 1 s when two letters picked without replacement from bbss? 2/3 Calculate prob of picking 2 c and 1 i when three letters picked without replacement from cfhlhiifcicc. 9/110 Three letters picked without replacement from zzww. What is prob of picking 2 z and 1 w? 1/2 Calculate prob of picking 1 i and 1 m when two letters picked without replacement from ipmiimpimmimmmm. 8/21 Calculate prob of picking 1 t and 3 f when four letters picked without replacement from {f: 1, t: 14}. 0 Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, r: 4, w: 8, y: 1}. 1/105 What is prob of picking 1 g, 2 p, and 1 s when four letters picked without replacement from ttgpfgtftptas? 2/715 What is prob of picking 1 f and 1 g when two letters picked without replacement from {k: 1, z: 1, f: 3, r: 1, g: 1}? 1/7 Three letters picked without replacement from fyybvzy. Give prob of picking 1 b and 2 y. 3/35 What is prob of picking 2 w when two letters picked without replacement from wfwfkkkkw? 1/12 Four letters picked without replacement from eeieseeeuseeeepieeee. Give prob of picking 2 e and 2 s. 91/4845 What is prob of picking 2 t and 1 z when three letters picked without replacement from {z: 2, w: 1, q: 1, t: 2}? 1/10 What is prob of picking 3 w when three letters picked without replacement from {w: 5, j: 5, r: 4, n: 3, z: 1}? 5/408 What is prob of picking 1 w and 1 k when two letters picked without replacement from kkwkkwwkww? 5/9 Two letters picked without replacement from {d: 3, s: 7, p: 2, x: 8}. What is prob of picking 1 s and 1 d? 21/190 What is prob of picking 3 n when three letters picked without replacement from nnn? 1 Four letters picked without replacement from {t: 1, g: 1, w: 1, k: 3, c: 5, b: 3}. What is prob of picking 1 k, 1 c, 1 g, and 1 w? 15/1001 Calculate prob of picking 2 z, 1 p, and 1 v when four letters picked without replacement from fzpfzppzzfnnzvz. 3/91 Calculate prob of picking 1 q, 2 k, and 1 b when four letters picked without replacement from {c: 2, k: 3, l: 3, q: 2, b: 5}. 2/91 What is prob of picking 3 h when three letters picked without replacement from hhhhhhmshhmhhh? 165/364 What is prob of picking 1 o and 1 p when two letters picked without replacement from cobcboobbobbebbbp? 1/34 What is prob of picking 3 h when three letters picked without replacement from hhhhthhhthhthhthhh? 91/204 Two letters picked without replacement from {m: 1, u: 1, r: 1}. What is prob of picking 1 u and 1 m? 1/3 Calculate prob of picking 1 x and 1 v when two letters picked without replacement from diiddvddvadvdvxan. 1/34 Calculate prob of picking 1 r and 2 f when three letters picked without replacement from rrrpfrffp. 1/7 What is prob of picking 2 h when two letters picked without replacement from {d: 7, h: 6}? 5/26 Four letters picked without replacement from njnnnngnnngj. What is prob of picking 1 j, 1 n, and 2 g? 16/495 Calculate prob of picking 2 z, 1 x, and 1 k when four letters picked without replacement from {n: 2, z: 2, x: 7, k: 7, s: 2}. 49/4845 Calculate prob of picking 3 u when three letters picked without replacement from {s: 7, q: 3, u: 3}. 1/286 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from ifiafaafaiufaffuaff. 16/57 Three letters picked without replacement from baddb. Give prob of picking 2 d and 1 a. 1/10 Four letters picked without replacement from {p: 2, l: 5, y: 3, g: 3}. What is prob of picking 3 l and 1 p? 4/143 Calculate prob of picking 3 o and 1 j when four letters picked without replacement from eooqohjqheee. 1/495 What is prob of picking 2 g when two letters picked without replacement from jcccgqqcqccccjcc? 0 Calculate prob of picking 1 n and 2 l when three letters picked without replacement from {l: 8, n: 2}. 7/15 Four letters picked without replacement from {y: 2, u: 2, r: 7}. What is prob of picking 1 y and 3 r? 7/33 What is prob of picking 2 j and 1 g when three letters picked without replacement from ggogogggoooogjgggjg? 11/969 Three letters picked without replacement from {p: 1, h: 2, k: 2, n: 2, m: 1}. What is prob of picking 1 k, 1 p, and 1 h? 1/14 Calculate prob of picking 1 q and 2 c when three letters picked without replacement from {c: 3, k: 2, q: 3}. 9/56 Four letters picked without replacement from iissisiiiiiiisiiss. What is prob of picking 3 i and 1 s? 22/51 What is prob of picking 2 w when two letters picked without replacement from zwiwiozww? 1/6 Three letters picked without replacement from kkaaaaaakkkk. What is prob of picking 2 k and 1 a? 9/22 Three letters picked without replacement from {o: 8, i: 5, s: 1, h: 5, v: 1}. Give prob of picking 1 v and 2 o. 7/285 Calculate prob of picking 1 g, 1 f, and 1 a when three letters picked without replacement from {v: 1, g: 6, t: 1, f: 6, a: 5}. 60/323 Four letters picked without replacement from naaanaaanaaa. Give prob of picking 3 a and 1 n. 28/55 Four letters picked without replacement from {b: 6, c: 11, r: 1}. Give prob of picking 4 c. 11/102 Two letters picked without replacement from {r: 7, l: 12}. What is prob of picking 1 r and 1 l? 28/57 Two letters picked without replacement from {g: 2, u: 12, x:
{ "pile_set_name": "DM Mathematics" }
1. Let n be 1/(j/4 - 2). Calculate u(n). -5 Let x(p) = -2*p**2 - 3*p + 19. Let c(f) = -f**2 - 2*f + 10. Let z(s) = -5*c(s) + 3*x(s). Calculate z(6). -23 Let z(d) = 14 - 7 + 5*d - 12. Let c(s) be the third derivative of s**4/12 - s**3/3 - s**2. Let o(n) = 9*c(n) - 4*z(n). Give o(5). -8 Let q(i) = 9 - 7 + 0 - 3*i. Calculate q(2). -4 Let g(l) be the third derivative of -l**6/120 - l**5/12 + l**4/24 + 7*l**3/6 - 17*l**2. Let u be (-17)/3 + 8/12. What is g(u)? 2 Let s(k) = 3*k - 70. Let p be s(21). Let z(x) = -x**2 - 4*x + 10. What is z(p)? -11 Let j = -3 + 3. Let b(k) = -k**2. Let w(t) = t**3 - 4*t**2 - t + 7. Let f(r) = -3*b(r) + w(r). Determine f(j). 7 Let u(a) be the second derivative of -a**3/6 - 2*a**2 + 34*a. Determine u(8). -12 Let u(g) be the third derivative of -g**4/24 + 2*g**2. Determine u(-2). 2 Let m(p) = 2*p - 1. Let a(z) = -z + 1. Let v(d) = -10*a(d) - 6*m(d). Suppose 0 = 4*l - 65 + 21. Suppose 3*h = 2 - l. Calculate v(h). 2 Let m(w) = -12 + 7 + 7 + 0*w - 4*w. Determine m(-3). 14 Let f(z) = z + 10. Let r be (54/(-15))/(6/15). Give f(r). 1 Let u(d) = d**2 - 12*d - 1 + 8*d - 6*d + 7. Calculate u(9). -3 Let g(d) = -5*d - 13. Let j(h) = -h + 1. Let z(f) = 20*f - 12. Let s(q) = -36*j(q) - 2*z(q). Let r(l) = -5*g(l) + 6*s(l). Calculate r(4). -3 Suppose 0 = -3*z + 15 + 45. Suppose -4*a = 3*v, -6*v + z = -v. Let y(g) be the third derivative of g**5/60 + g**4/12 - g**3/6 + 6*g**2. What is y(a)? 2 Let t(s) = -6*s**2 - 2*s - 3. Let l(d) = -d**2 - d + 3*d + 3 + 6*d**2. Suppose 3*z - 1 = 11. Let j(r) = z*t(r) + 5*l(r). What is j(-3)? 6 Let g(h) = 2*h + 3. Let q(y) = -4*y - 7. Let s(n) = -5*g(n) - 2*q(n). Let i be (-2)/(-2) + 0 + -2. Determine s(i). 1 Let q(z) = z**3 + 5*z**2 + 2*z. Suppose 2*j = 4*r + r + 12, -5*r = -3*j + 8. Determine q(r). 8 Let w(u) be the first derivative of -u**4/4 - 5*u**3/3 + u**2/2 + u - 18. Give w(-3). -20 Let h(m) = m**3 - m**2 - m. Let s = 1 + 0. Suppose -2*r = s + 1. Let g(c) = -2*c**3 + 5*c**2 - c + 2. Let b(x) = r*h(x) - g(x). Calculate b(3). -5 Let v(h) be the second derivative of -1/12*h**4 - h**3 - 3*h + 0 + 3*h**2. Give v(-6). 6 Let v(b) = b**3 + 6*b**2 - 8*b - 7. Let p be v(-7). Let r(w) = -w**3 + 5*w**2 - w**2 - w - 3*w**2 - 1. Determine r(p). -1 Let p(x) be the second derivative of -x**4/12 - 4*x**3/3 + x. Calculate p(-8). 0 Let l(j) = 3*j - 2*j - 3 + 4 + 1. Suppose 0 = s - 2, -s - 2 = -3*a - 7. Let z be l(a). Let m(k) = -12*k. Determine m(z). -12 Let u(p) = p**2 - 4. Let c be u(-3). Let y(h) be the third derivative of 1/24*h**4 + 0*h + 0 - 2*h**2 - 1/6*h**3. What is y(c)? 4 Let t(c) = 3*c - 7. Let g = -27 + 33. Give t(g). 11 Let t(g) = 15*g**3 - g + g**2 - 6 - 11*g**3 - 3*g**3. Suppose 0*w + w = 0. What is t(w)? -6 Suppose 0 = 3*p - 4*k - 6 - 12, -4*p = 4*k - 24. Suppose 3*o + p + 4 = -m, 0 = o - 2*m - 6. Let q(r) = 4*r**2 + 3*r + 1. Give q(o). 11 Let v(f) be the second derivative of 7*f**4/12 + f**3/6 - f**2/2 + 9*f - 1. Determine v(1). 7 Let a(z) = z - 1. Suppose 0 = -3*x + 59 + 64. Let i(h) = 2*h - 5. Let q be i(5). Suppose -4*u = q*b + x, 3*b + 5 = -u - 14. Give a(u). -5 Let s(f) = -5 + 2*f**2 - 3*f + 2 + 2 + 2. Determine s(2). 3 Suppose 0 = -2*t + t - 2*i + 1, 0 = 2*t - 4*i - 10. Suppose 0 = -a - 2 + t. Let o(d) = -11*d**3 - d**2 + d - 1. Calculate o(a). -12 Let o(f) = 2*f - 5. Suppose 25 = 5*a - 3*n, -7 = -4*a + 4*n + 13. What is o(a)? 5 Let f = -73 - -67. Let p(v) = -v**3 - 5*v**2 + 6*v + 1. Determine p(f). 1 Let d(h) be the first derivative of h**2/2 + 3*h + 7. Give d(4). 7 Let z(a) = -a**2 + 5*a + 3. Let h(c) be the first derivative of c**3/3 - 5*c**2/2 - 2*c - 2. Let v(n) = 3*h(n) + 2*z(n). Give v(3). -6 Let t = 3 - 11. Let s(x) = -x - 6. Let p be s(t). Let l(m) = m**2 + m + 0*m**p - 3 + 0. Give l(0). -3 Let o(l) = 5*l + l**2 + 1 + 4*l - 5*l + 0. What is o(-5)? 6 Let d(x) = -x + 1. Let t(v) = 9*v + 1. Let j be t(-1). Let c(n) = n**3 + 5*n**2 + 5*n - 1. Let y be c(-4). Let s = y - j. Determine d(s). -2 Let x = -16 + 27. Let z be (-124)/(-44) - (-2)/x. Let t(y) = z*y - 6*y + y + 0*y. Calculate t(3). -6 Let w(p) be the first derivative of p**2/2 - 14*p - 51. What is w(7)? -7 Let v(r) = 104*r + 3*r**2 - 105*r + 3*r**2. Let x be ((-12)/(-10))/((-6)/(-20)). Suppose -x*q + 2*q + 2 = 0. Calculate v(q). 5 Let l(m) = -4*m**2 + 3*m**2 - m**3 + 2*m**2 - 2*m**2 - 1. Let q be l(-2). Let x(u) = -2*u**2 + 4*u - 4. Give x(q). -10 Let w(o) = o**2 + 2*o + 3. Let c = -5 + 5. Suppose 0 = -2*t + 15 - 5, -2*f - t + 29 = c. Suppose z = 5*v - f, 3*v = v + 4. Give w(z). 3 Suppose -2*y + 4*p + 10 = -0*p, -3*y + 4*p = -13. Suppose -y - 3 = 3*i. Let w(g) = 4*g - 1. Determine w(i). -9 Let n(m) be the second derivative of -m**3/6 - 7*m**2/2 + 4*m. Calculate n(-6). -1 Let i(j) be the third derivative of j**5/60 + j**4/6 + j**3 - 10*j**2. What is i(-4)? 6 Let w be 16/6*(-6)/(-4). Suppose -5*z + w = -21. Let y(m) = m**2 - 3*m - 7. Give y(z). 3 Let n(j) be the third derivative of -j**4/12 - j**3/2 - j**2 + 6. Determine n(6). -15 Suppose 0 = -4*l + 3*q + 2*q - 34, 5*q - 4 = -l. Let x(a) be the second derivative of a**3/6 + 11*a**2/2 - 438*a. Determine x(l). 5 Let z(w) = w**2 + w - 1. Let j(b) = b**3 - 3*b**2 - 4*b. Let d be j(4). Suppose d = -6*a + 5*a - 3. Give z(a). 5 Let t(v) = 16 - 20*v + 34*v - 15. What is t(1)? 15 Let h(i) = i**2 + 7*i + 6. Let d be h(-6). Let x = -4 + d. Let y(q) = q**2 + 2*q - 1. Calculate y(x). 7 Let u(z) = -z**3 + 5*z**2 + 4*z + 5. Let n(m) = -m + 9. Let s be n(7). Let l(g) = g**2 + g. Let t be l(s). Give u(t). -7 Let j(f) = -3*f + 4. Suppose -3*m + 10 = -44. Let u be (2/(-3))/((-3)/m). Calculate j(u). -8 Let d(k) = -4 + 7 + 0*k**2 + k**2. Suppose a - 5*a = 0. Determine d(a). 3 Let i(k) = -k - 8. Let r = 4 - 9. Let u be i(r). Let l(x) = x**3 + 4*x**2 + 2*x + 4. Give l(u). 7 Let o(y) = y**3 - 2*y**2 - 3*y + 4. Suppose -3*r + 3*z + 9 = z, 4*r - 4*z = 16. Let q = r - 1. Let h be 12*(q + 3/12). Give o(h). 4 Let m(r) = -r**3 - 2*r**2 - 3. Let z(p) = p**3 - p**2 + p. Let g(d) = -m(d) - 2*z(d). Give g(3). 6 Let g(x) be the second derivative of x**4/24 + 5*x**3/6 - 2*x**2 + 5*x. Let h(k) be the first derivative of g(k). Give h(-6). -1 Let u = 0 - -3. Let r(z) = z**2 + 1 - z**u - 1 + 3 - 4. Give r(2). -5 Let i = 0 - -2. Suppose 5*q + 3 = -i. Let g be -4 + q - (-2)/1. Let b(k) = -k**2 - 2*k + 2. What is b(g)? -1 Let o(t) = -t**2 - t - 8. Let p be 4 - 6 - (1 + -6). Let g = -3 + p. Determine o(g). -8 Let i(n) = -n**3 - 5*n**2 - 5*n. Let s(k) = k**2 + 8*k + 8. Let j be s(-6). Determine i(j). 4 Let m(k) = 2*k**2 + 7*k - 4. Let b be m(-4). Suppose 3*p - 32 + 23 = b. Let v(s) = -3*s + 2. Determine v(p). -7 Let q(n) = n**2 - n + 12. Suppose -1 = 3*h - 10. Suppose h*d = 2*x + 3, d - 5 = 2*x - 4*d. Give q(x). 12 Let q = -11 + 15. Suppose x = -x + q*w, -30 = -5*x - 5*w. Let g(v) = -v**2 + 3*v. Give g(x). -4 Let j(c) be the first derivative of c**3/3 - c**2 - 2*c + 9. Suppose -2*y = -4*b + 6, 0 = -b + 2*b + 4*y - 24. Calculate j(b). 6 Let t(v) = v**2 + 3*v + 1. Let y(z) = z**2 + 7*z - 2. Let s be y(-7). Determine t(s). -1 Let g(y) = -y**2 + 6*y - 5. Let v be g(5). Suppose v = 4*l - 2*l. Let p(i) = i**3 + i**2 + i - 6. Give p(l). -6 Let l(s) = -s**3 + 8*s**2 - 9*s + 8. Suppose 7*j + 0*j = 49. Calculate l(j). -6 Let a(i) = i**3 - 6*i**2 + 4*i + 1. Let n(b) = 15*b**2 + 10*b - 7. Let k(p) = 8*p**2 + 5*p - 4. Let u(t) = -11*k(t) + 6*n(t). Let r be u(-3). What is a(r)? -4 Let z = -4 - 0. Let s(n) = 3*n**2 - n - 4. Let y(j) = -4*j**2 + j + 3. Let k(u) = z*y(u) - 5*s(u). Determine k(0). 8 Let f(q) = 4*q**2 + 3*q + 4. Let c(b) = b**2. Let y(p) = -6*c(p) + f(p). Give y(3). -5 Suppose 3*l + l = 0. Let b(i) be the third derivative of -1/3*i**3 + 0 + 2*i**2 + 1/24*i**4 + 0*i. Determine b(l). -2 Let f(u) = u**3 - 5*u**2. Suppose -45*q - 25 = -50*q. What is f(q)? 0 Let y(l) = 4*l**2 - 2*l - 1. Suppose -p + 2*w - 4 - 7 = 0, -5*w = 2*p - 23. Determine y(p). 5 Let s(y) = 5*y**3 + 2*y - 1. Let h(n) = 15*n**2 - 1. Let t be h(-1). Let f = -13 + t. Calculate s(f). 6 Let q = 14 + -9. Suppose -3*z = 5*t + 18 + 17, 0 = q*z + 25. Let w(k) = 2*k + 2. Give w(t). -6 Let f be (-444)/72 + 2/12. Let q(a) = a**2 + 7*a + 4. Determine q(f). -2 Let n(i) = -1 + 4*i**2 + 0*i**3 + 5*i**2 + 8*i + 3*i**3 - i**2. Let b(p) = -5*p - 15*p**2 - 10*p - 5*p**3 + 1 + 0*
{ "pile_set_name": "DM Mathematics" }
22540)/3270 + 68) -2/109 Evaluate (-4 + 5595/1680)/((-12)/14)*4/10. 5/16 What is the value of (989368/18112)/((-23)/(-2))? 19/4 What is ((5/(-6))/(-1 - (-56)/24))/((-130)/1768)? 17/2 Calculate (3787/(-1623) + 4/(-6))*(-130)/30. 13 ((-3458)/12103)/(6/1008) -48 What is the value of -3*4/(-30)*(371/(-212) + 23/(-44))? -10/11 Calculate -73 + (1492 - 10)/57. -47 Evaluate (-1968)/(-48) + -42 - 636/(-7 + 1). 105 What is the value of (-15900)/7420*(-21)/(-72)? -5/8 What is (2/(-18) - (-14141)/(-711))/((-32)/40)? 25 What is -343 + 347 + (-30)/(-70) + (0 - 591/7)? -80 (3/5)/(40692/(-949480)) -14 Calculate ((-6)/21)/(-56 + 46255/825 - (-22)/(-280)). 24 Calculate (-3266)/(-2769)*630/1610. 6/13 -66 + (-74)/(362970/(-323775)) 1/109 (-2)/(-5)*165/(-4) + (-749)/(-1498) -16 Evaluate 2/10 + 2*(-28)/8. -34/5 Evaluate 42/(-10)*(-2)/2*(-2 + 528/84). 18 What is ((-4)/(-30))/((-3)/(-522)*2)*(16822 + -16817)? 58 Evaluate (7014/(-420) - -17) + (-13072)/44640. 2/279 What is the value of 8/96*(-18336)/(-3820)? 2/5 What is ((-160)/275)/((-1860)/(-2325))? -8/11 What is (-6)/15 - -1 - (-15 + 165/25)? 9 What is ((30/12)/(28/(-8)))/((-152920)/3640 - -42)? 65 Evaluate (27/20)/(316998/(-384240)). -18/11 Calculate 4017/103 - (488/12 + -17). 46/3 (2652/420 - 35/125*-5)*70/(-15) -36 What is the value of (-18)/927 - (-869880)/(-13596)? -64 What is the value of (-6)/(-4) - ((-4)/26 - (17 + 305823/(-16380)))? -1/60 What is the value of -2 - -4 - 18 - ((-39)/3 + 293 + -283)? -13 What is 6/(-129) + (-739200)/2330944? -4/11 What is the value of (-21*325/117*(-9)/(-60))/((-10)/16)? 14 What is the value of -3*(17 - 689/39)*13/10? 13/5 What is the value of ((-97)/((-171108)/(-567)))/(-4 - 10/35)? 3/40 What is the value of (20/14 - (-99968)/2464)/(-3)? -14 Calculate ((-5)/130)/((-1367)/(-675298)). -19 What is the value of 17 - ((-126)/(-24) - 15606/216) - -9? 93 What is the value of ((-53)/(-6)*1)/(1020100/1515 - 674)? -53/4 What is ((-464)/40 + 10 + (-5219)/(-3315))*12/(-14)? 2/91 What is the value of (-4116)/490*((-9)/12 - 40/(-32))? -21/5 Calculate ((-6)/42*(-10 + 16))/((-2)/84). 36 717744/(-25536) + (3 - (3 - 28)) -3/28 What is -1*((-32558)/(-730) - 14/(-10))? -46 What is the value of 370/111*3/45 + 67700/(-900)? -75 What is the value of (-850)/(-142) + ((-104)/1)/(-13) + -14? -1/71 What is (3*8)/(29988/15092 - (-9)/693)? 12 (-17748)/(-19140) + 16/(-22) - (-178)/(-90) -16/9 ((-6 + 41)/(-490))/(76/(-14) - 0) 1/76 What is the value of 57 + 48/36*-33? 13 (-5669)/5669*((-8)/(-12) - 19/(-3)) -7 (-409632)/(-9036) - 68/(-12) 51 What is 1250/14880 + -12 + (-9)/432*-573? 2/93 What is the value of (-24)/(-32) + (-81)/(-36) + 189/(-15)? -48/5 What is the value of (-12)/56*(11/(-22))/(-1*(-3)/42)? 3/2 Calculate 172422/49028 - 315/90. 2/119 What is the value of (-43)/(-4) - (60 + -79 + 30)? -1/4 What is (-1)/(960/38080*(-1 + (-3 - (-34)/12)))? 34 What is (12/459)/(3276/4641)? 1/27 What is the value of 4228/(-5285)*117/12? -39/5 92/(-5)*(-1485)/(-594) -46 Evaluate (10120/(-528) + 19)/(1/(-78)). 13 Calculate -7*(-8)/448 + (-168)/(-704). 4/11 What is the value of 76 - (25128/738 + 16/(-328))? 42 8/20*31/(12648/170) 1/6 What is 4/(-7) + -516*(-9)/6804? 1/9 Calculate (-4)/104 + (-65945)/(-904046). 1/29 (54/8)/(-282 + (-101205)/(-346)) 9/14 Calculate (-35)/(2106/108 + -25). 70/11 What is 366/(-42) - -9 - 1612/3094? -4/17 Evaluate (-408)/(-82) + (5/(-4) - ((-10089)/228 + 48)). -1/41 Evaluate ((-1325)/53000)/((-1)/(-88)). -11/5 What is the value of (-1 - 3) + (1457/6696*12 - (-6)/27)? -7/6 Evaluate (-3375)/450*(1565/315 - 5)*-9. -15/7 -64 + 194502/3564 - 2/27 -19/2 (-7 - (-3)/3) + (58 - (-2064)/(-40)) 2/5 What is the value of 31 - (12/408 + (-2763)/306)? 40 Evaluate ((-21510)/(-6453))/((-5)/24). -16 What is -57 - -46 - ((-5 - -37)/8 - -9)? -24 (33/(-88))/(5 + -2)*1*-8 1 Calculate 301/(-2)*(-8234)/28819. 43 What is 406/12 + 14*(-616)/1617? 57/2 (-14)/(-4)*(1632/1540 + (-88)/110) 10/11 Evaluate (-35451)/(-293910) - ((-196)/(-97) + -2). 1/10 What is the value of 1992/(-84) - -24 - (-4 - 20685/147)? 145 -237*(29593/(-303) - -98) -79 ((-10)/(-6))/((-1885)/88218) -78 What is (35/7 - (-29)/(-3))/((-4316)/(-2158))? -7/3 (((-8136)/(-630) + -13)/((-18)/30))/((-2)/(-2)) 1/7 (-314640)/(-15720) + ((-100)/5)/1 2/131 What is the value of (1 - 0)*(-179 + 184 + -95)/(2/(-3))? 135 Evaluate 20/(-96)*-1*((-1638)/105)/26. -1/8 What is -46 - (52 - 931456/9504)? 2/297 What is the value of 3 - -5 - (24 + 825/(-50))? 1/2 Calculate 650/(-36) + (-265)/1325 + 4/(-360)*22. -37/2 What is the value of 14*231/66 - 35? 14 Calculate 12/(31 + 7973/(-17)). -2/73 What is (-200)/(-1800) - (-257)/(-45)? -28/5 -8922 + 8909 - (0/2 - 27) 14 What is the value of -17 - (21/(12264/16) + 38335/(-365))? 88 What is ((-10)/45)/(13 - 26664/2052)? -38 What is the value of (2 - 16310/8176)/(3/16)? 2/73 What is the value of 8*(-55)/(-5280)*-3*(-7)/14? 1/8 What is (6/(-84))/(2160/4536)? -3/20 Evaluate -35 - 1702/184 - 38/8. -49 Calculate (603552/804736)/(((-19)/(-3))/((-1)/(-9))). 1/76 What is -5 + 18/(540/(-510))? -22 What is the value of -85*75/((-4500)/32) + (-16)/12? 44 Calculate 654/23544 - (-5)/1116. 1/31 What is 2988/(-8964)*6*(4 - 1)? -6 What is the value of (32768/12160)/16 + (-8)/38 - (-1)/5? 3/19 Evaluate 14668851/(-152920) + (-9)/120. -96 What is (7/2*(9 - -31) + -16)*2/4? 62 -13573 + 13505 + 35/(-1) -103 What is the value of (69/46 - 6/(-4))/((-4950)/555 - -9)? 37 What is the value of (7/(-49) - (4 + (-6363)/2009))*40/160? -10/41 Calculate (-504)/(-253 - -181) - (-1 - (-620)/78). 2/39 Evaluate (9 + 2132/(-13))*(-24)/(-60). -62 Evaluate (268 + -191)/(88/(-48)). -42 Calculate (40137/1836 - -6 - 28)/(-3*(-5)/42). -7/18 What is the value of -5 + 915*(-20)/(-1400) - 8? 1/14 Evaluate ((-1)/(8/(-28)) - 2914/868)/((-80)/(-12)). 3/140 What is the value of ((-431627)/(-788))/(-313)*328/7? -82 Calculate (-38 - (-2610)/75) + -5*(-940)/1625. -4/13 Evaluate 3463755/131535 - (-1)/2*-10. 64/3 Evaluate 31510/2645 - 8/(32/(-64)*4/(-3)). -2/23 (6 + (-85)/17)/(38/57*(-3)/16) -8 What is the value of (6176/13124)/(1/119)? 56 (-26 - (-26840)/1000)*(-160)/(-48) 14/5 Evaluate 31 - (13 + -114*26/78). 56 Evaluate ((-27135)/(-79596))/(10/32). 12/11 What is the value of (-366)/6 - (-12)/(-96)*64? -69 (-13 + -3 - 14)*(-1 - (-42)/54) 20/3 What is the value of (-3050376)/(-43617) - -1*(-6)/(-93)? 70 Calculate (405372/(-5291))/(-166) - 1423/13. -109 (-229805)/1121*3/15 -41 (-138)/1035 + (31/(-30))/(53/(-1802)) 35 What is 812/(-5292)*9*(-56)/(-12)? -58/9 What is 22610/(-16660) - (62/28 + -2)? -11/7 What is the value of (-584)/(-119) - 47412/9219? -4/17 What is the value of ((-27805)/(-871) + -31)/((-12)/(-1612))? 124 What is the value of 72/28*14210/429345? 4/47 Evaluate (113 + -58 - 40)*(-8 - 100/(-15)). -20 Evaluate 88/16*(-6)/33*6/11. -6/11 What is the value of 3*-1 - 1780862/473524*((-8)/10)/1? 1/115 What is (-371098)/(-3640) + 17/340? 102 ((-5232)/69)/(-2) + (-19026)/(-218799) 38 What is the value of (-7 + (3162/28)/17)/((-47)/((-1692)/(-54)))? 5/21 What is the value of (-73)/(-5) + (-39088)/280 + 140? 15 Calculate (-186)/12*(11 - 19 - -10) + 24/(-3). -39 What is (180/390)/(90/(-351))? -9/5 Evaluate (18/7*1)/(110 + (-1018143)/9261). 42 (-1*(-12)/16)/((-16)/(237568/192)) -58 4/30 - (107 - 63329/545) 28/3 Evaluate (-126)/10*(-25)/(-900)*12. -21/5 (-82592)/454256*(0 + 4)/(-2) 4/11 Evaluate -3 + 50 - 10234/215. -3/5 What is 735/6370 - (-5995)/(-130)? -46 Evaluate (534/2225)/((-3)/(-10)) + (-8 - 1232/40). -38 What is the value of (1008/540)/1 - (-2)/15? 2 What is -44 - (-21)/((-4221)/(-8978))? 2/3 What is (34 - 38) + (33/55 - 1886/(-290)) + -3? 3/29 Evaluate (2/42)/(71 + 41 + -113). -1/21 What is the value of 33/(-18) - -2 - 26*966/190008? 1/29 What is ((-16)/(-6))/((-6)/27 - (18032/567 + -32))? -108 What is (-4108)/(-111) - 388/(-47724)*-4551? 1/111 Evaluate (2/52*2 + 32262/4446)/((-2)/(-12)). 44 Evaluate ((-8925)/136)/(-35) - ((-116005)/(-13080) - 7). 2/327 What is (-48)/(-4) - 2*(-5 + 60/(-8))? 37 What is the value of -6 + 67 - (2414 + -2464)? 111 What is 0 + (-114)/1083*19/(-3) + 106/3? 36 Calculate 1356/(-198880)*(-50)/(-15). -1/44 Calculate (14/(-2) - 1648/112 - 6) + (-36)/126. -28 What is the value of (12663/(-118188))/(-1*63/8)? 2/147 What is (-47763)/(-366)*40/(-90)
{ "pile_set_name": "DM Mathematics" }
376113231, -1720141539, -2064169847? -344028308*v + 1 What is the f'th term of 124592, 124607, 124624, 124637, 124640? -f**3 + 7*f**2 + f + 124585 What is the s'th term of 4456, 17630, 39582, 70312, 109820, 158106, 215170? 4389*s**2 + 7*s + 60 What is the l'th term of 31349224, 31349225, 31349226? l + 31349223 What is the h'th term of -63585, -121194, -178803, -236412, -294021, -351630? -57609*h - 5976 What is the a'th term of -77500, -155069, -232638, -310207? -77569*a + 69 What is the n'th term of 2215, 4600, 7169, 9922? 92*n**2 + 2109*n + 14 What is the n'th term of 12595, 12501, 12365, 12193, 11991? n**3 - 27*n**2 - 20*n + 12641 What is the d'th term of -985, -647, -311, 23, 355, 685, 1013? -d**2 + 341*d - 1325 What is the w'th term of 33860530, 33860533, 33860536, 33860539? 3*w + 33860527 What is the o'th term of 372, 2789, 9336, 22077, 43076? 344*o**3 + o**2 + 6*o + 21 What is the u'th term of -23563279, -23563273, -23563267, -23563261? 6*u - 23563285 What is the x'th term of -6301, -13250, -20211, -27190, -34193, -41226, -48295, -55406? -x**3 - 6942*x + 642 What is the v'th term of -6136, -23584, -52338, -92404, -143788, -206496, -280534? -v**3 - 5647*v**2 - 500*v + 12 What is the b'th term of -2134600383, -4269200767, -6403801151, -8538401535, -10673001919, -12807602303? -2134600384*b + 1 What is the v'th term of 8874, 17158, 24966, 32298, 39154, 45534, 51438? -238*v**2 + 8998*v + 114 What is the k'th term of -254021, -253844, -253667, -253490, -253313, -253136? 177*k - 254198 What is the j'th term of 341, 476, 515, 452, 281? -j**3 - 42*j**2 + 268*j + 116 What is the t'th term of -7783890, -7783893, -7783892, -7783887? 2*t**2 - 9*t - 7783883 What is the r'th term of 323396, 323401, 323406? 5*r + 323391 What is the q'th term of 405, 3646, 12757, 30774, 60733, 105670, 168621? 506*q**3 - 101*q**2 + 2*q - 2 What is the p'th term of 533932, 1066433, 1598934? 532501*p + 1431 What is the z'th term of 204, 787, 1732, 3039? 181*z**2 + 40*z - 17 What is the l'th term of 143409, 573701, 1290861, 2294883, 3585761, 5163489? -l**3 + 143440*l**2 - 21*l - 9 What is the g'th term of -114610, -114527, -114420, -114277, -114086, -113835, -113512, -113105? 2*g**3 + 69*g - 114681 What is the z'th term of 742, 1071, 1390, 1699? -5*z**2 + 344*z + 403 What is the c'th term of -22036, -23242, -25238, -28018, -31576? c**3 - 401*c**2 - 10*c - 21626 What is the p'th term of 59814, 74409, 88992, 103557, 118098, 132609? -p**3 + 14602*p + 45213 What is the x'th term of -22429771, -44859540, -67289309, -89719078? -22429769*x - 2 What is the d'th term of -32092672, -64185347, -96278022, -128370697, -160463372, -192556047? -32092675*d + 3 What is the d'th term of -340208, -680266, -1020172, -1359926, -1699528, -2038978? 76*d**2 - 340286*d + 2 What is the s'th term of -101143, -101081, -100921, -100615, -100115? 8*s**3 + s**2 + 3*s - 101155 What is the v'th term of -89593, -180037, -270503, -361003, -451549, -542153, -632827, -723583? -2*v**3 + v**2 - 90433*v + 841 What is the h'th term of 25927, 67676, 109425, 151174, 192923, 234672? 41749*h - 15822 What is the l'th term of 23557, 23252, 22741, 22024, 21101? -103*l**2 + 4*l + 23656 What is the r'th term of -49386, -199676, -450160, -800838? -50097*r**2 + r + 710 What is the f'th term of -5252, -10569, -15868, -21149, -26412? 9*f**2 - 5344*f + 83 What is the f'th term of -8132906, -8132913, -8132926, -8132945? -3*f**2 + 2*f - 8132905 What is the p'th term of -916345, -915774, -915203, -914632, -914061, -913490? 571*p - 916916 What is the p'th term of 117384913, 234769827, 352154741? 117384914*p - 1 What is the x'th term of 4561, 4578, 4659, 4846, 5181, 5706, 6463, 7494? 7*x**3 - 10*x**2 - 2*x + 4566 What is the c'th term of 48222, 94573, 139054, 181665? -935*c**2 + 49156*c + 1 What is the w'th term of -289, -2104, -6917, -16228, -31537, -54344, -86149, -128452? -250*w**3 + w**2 - 68*w + 28 What is the j'th term of 46527, 186366, 419445, 745758, 1165299, 1678062, 2284041? -j**3 + 46626*j**2 - 32*j - 66 What is the l'th term of -599, -1579, -2559, -3539, -4519, -5499? -980*l + 381 What is the s'th term of -2766, -10326, -22888, -40422, -62898, -90286, -122556, -159678? 5*s**3 - 2531*s**2 - 2*s - 238 What is the o'th term of 1068411, 4273639, 9615689, 17094561, 26710255? 1068411*o**2 - 5*o + 5 What is the d'th term of -1953445, -1953364, -1953285, -1953208, -1953133, -1953060, -1952989? -d**2 + 84*d - 1953528 What is the g'th term of -7752205, -7752149, -7752093, -7752037, -7751981, -7751925? 56*g - 7752261 What is the t'th term of -4646924, -9293851, -13940778? -4646927*t + 3 What is the u'th term of 97, -83, -967, -2909, -6263, -11383, -18623, -28337? -59*u**3 + 2*u**2 + 227*u - 73 What is the j'th term of 15583, 16972, 19285, 22522, 26683, 31768? 462*j**2 + 3*j + 15118 What is the y'th term of 6989, 13983, 20991, 28025, 35097? 2*y**3 - 5*y**2 + 6995*y - 3 What is the d'th term of -790042, -1580097, -2370142, -3160171, -3950178, -4740157? d**3 - d**2 - 790059*d + 17 What is the b'th term of -127390232, -127390234, -127390236? -2*b - 127390230 What is the j'th term of 2414346066, 2414346064, 2414346062, 2414346060, 2414346058? -2*j + 2414346068 What is the n'th term of 370079, 1480345, 3330783, 5921393, 9252175? 370086*n**2 + 8*n - 15 What is the u'th term of 1759287, 1759751, 1761007, 1763451, 1767479, 1773487, 1781871, 1793027? 66*u**3 + 2*u + 1759219 What is the i'th term of 30821, 58788, 105399, 170654, 254553? 9322*i**2 + i + 21498 What is the f'th term of -50417, -201722, -453957, -807170, -1261409? -8*f**3 - 50417*f**2 + 2*f + 6 What is the b'th term of -62, -752, -1928, -3596, -5762? -b**3 - 237*b**2 + 28*b + 148 What is the l'th term of -1027727, -1027798, -1027869, -1027940? -71*l - 1027656 What is the c'th term of 3214, 12198, 27126, 48004, 74838, 107634? c**3 + 2966*c**2 + 79*c + 168 What is the i'th term of 116387, 232785, 349183, 465581? 116398*i - 11 What is the d'th term of -114541, -229058, -343575? -114517*d - 24 What is the s'th term of -6359, -11029, -18811, -29699, -43687, -60769? s**3 - 1562*s**2 + 9*s - 4807 What is the p'th term of -964362, -3857442, -8679242, -15429762, -24109002, -34716962? -964360*p**2 - 2 What is the l'th term of -122540217, -245080437, -367620657, -490160877? -122540220*l + 3 What is the z'th term of -10465, -10110, -9547, -8776, -7797? 104*z**2 + 43*z - 10612 What is the m'th term of -5710, -5650, -5578, -5494, -5398, -5290? 6*m**2 + 42*m - 5758 What is the o'th term of -733, -773, -825, -889, -965? -6*o**2 - 22*o - 705 What is the o'th term of -1320, -5252, -11818, -21030, -32900, -47440, -64662? -2*o**3 - 1305*o**2 - 3*o - 10 What is the n'th term of -116541, -117456, -118975, -121092, -123801, -127096? n**3 - 308*n**2 + 2*n - 116236 What is the h'th term of -1360095, -2720184, -4080259, -5440314, -6800343, -8160340, -9520299, -10880214? h**3 + h**2 - 1360099*h + 2 What is the w'th term of -1225, -4952, -11243, -20164, -31781, -46160? -11*w**3 - 1216*w**2 - 2*w + 4 What is the m'th term of -103, -1033, -3615, -8683, -17071? -139*m**3 + 8*m**2 + 19*m + 9 What is the w'th term of -2646535, -5293071, -7939609, -10586149, -13232691, -15879235? -w**2 - 2646533*w - 1 What is the v'th term of -244101, -244095, -244089? 6*v - 244107 What is the q'th term of 6634, 5994, 5354, 4714, 4074, 3434? -640*q + 7274 What is the o'th term of 5808, 5813, 5766, 5637, 5396, 5013, 4458, 3701? -5*o**3 + 4*o**2 + 28*o + 5781 What is the a'th term of -224896, -899565, -2024014, -3598243? -224890*a**2 + a - 7 What is the z'th term of -59610, -59589, -59568, -59547? 21*z - 59631 What is the x'th term of -1139421, -2279024, -3418627? -1139603*x + 182 What is the t'th term of -71246, -145031, -218816, -292601, -366386, -440171? -73785*t + 2539 What is the d'th term of -3101089, -3101078, -3101067? 11*d - 3101100 What is the b'th term of -1115, -4588, -10465, -18818, -29719, -43240, -59453? -12*b**3 - 1130*b**2 + b + 26 What is the g'th term of 60, 528, 1678, 3858, 7416, 12700, 20058? 58*g**3 - 7*g**2 + 83*g - 74 What is the y'th term of -15687081, -15687079, -15687077, -15687075, -15687073? 2*y - 15687083 What is the u'th term of -15880320, -31760640, -47640958, -63521274? u**2 - 15880323*u + 2 Wha
{ "pile_set_name": "DM Mathematics" }
l (c) -17 c Let s = 65 - 89. What is the second biggest value in -1, 2/17, -3, s? -1 Let l = 191 + -3249/17. What is the second biggest value in 35/4, 4/5, l? 4/5 Let n = 533 - 4261/8. Let r = -1.4 - -2.6. Let a = 1 - r. What is the biggest value in n, a, -2? n Suppose -20 = -s + 3*r, 5*s + 5*r = 4*r + 84. Suppose 9*z - 71 = -s. Let n = -3.93 - 0.07. What is the biggest value in -1, n, z? z Let f = -823083/25924 + -1/6481. Let t = -881/28 - f. What is the third biggest value in -2/17, -5, 4, t? -2/17 Let i = 171 - 169. Which is the smallest value? (a) i (b) 4 (c) 6 (d) -1/14 d Let f be (-1551)/(-282)*(-8)/(-154). Let v = -4 + 2. Which is the second smallest value? (a) f (b) 2/3 (c) v (d) -9 c Let x be -5 - (40 - 27)*(-3)/8. What is the third biggest value in -2, 18/11, x? -2 Let c = -71.5662 - 0.0338. Let g = c - -62. Let a = g + 10. What is the second biggest value in 0.02, -1/6, a? 0.02 Let l = 40.9 + -41. Which is the second biggest value? (a) l (b) 5 (c) -3/11 a Let c = 48 + -142/3. Let k = 0.041 + -1.041. What is the smallest value in k, 0.8, c, 1/4? k Let l = -9 - -4. Let v(b) = -3*b + 68. Let x be v(24). What is the second smallest value in l, -1, -2/5, x? x Let c = 0.13 - -1.87. Let s = 389 + -413. What is the second smallest value in c, -1, s? -1 Let l be 10/75*(-10)/14. Which is the biggest value? (a) 0.5 (b) l (c) 13 (d) 1 c Let g = 2241/5 - 448. Which is the biggest value? (a) -2/7 (b) 0.07 (c) g (d) -0.4 c Let g = -5.38 - -5.48. What is the third smallest value in 10, -2/7, -5, g? g Let m = -1 + 0.6. Let p = 0.0129 + 0.0871. What is the third smallest value in m, -2, p? p Let y be ((-6)/81)/(6 - 57/9). What is the biggest value in y, 3, -1/5, 5? 5 Let f = 19.3 - 18.8. Which is the smallest value? (a) 21 (b) f (c) -1 c Let i be (1/6)/(2/9). Let c = -420077/318 + 1321. Let o = -949/1590 - c. What is the second smallest value in i, -0.3, o? -0.3 Let s = 10 - 0. What is the third smallest value in s, 1, 36? 36 Suppose 16 = -2*u + u. Let d be 23*(-2 + (-76)/u). Let h = d + -63. What is the biggest value in -1/4, 0.5, h? 0.5 Let r = 0.155 - -64.845. Let f = r - 70. Let h = 0.3 - 0.4. What is the third biggest value in h, f, 2/13? f Let f = 178 - 178. Which is the third smallest value? (a) f (b) -3/2 (c) 0.08 (d) -2 a Let h = -1631/4911 + -2/1637. Which is the smallest value? (a) 3/5 (b) 4 (c) h c Suppose 0 = -3*q + 2*q + d - 5, 23 = -3*q - d. Let j be (-11 - q) + 22/8. Which is the third smallest value? (a) 2 (b) -1/7 (c) j a Let h be ((-4)/9)/(-1 - 1). Let d be 6/(-27) + (-282)/(-54). What is the smallest value in 4/23, d, h? 4/23 Let z = -5.04 + 0.04. Let k be 4*1/(-4)*-2. What is the third smallest value in z, 0.4, k, -6? 0.4 Let i = -2116 - -93059/44. Let q = -3/11 - i. Let f = -11 + 7. Which is the smallest value? (a) f (b) q (c) 3 a Let x = -478.93 - -479. Which is the smallest value? (a) x (b) 5 (c) 1/8 a Let t be (0 + 2)*((-1280)/70 + 18). Which is the second smallest value? (a) t (b) -4 (c) 7 (d) 26 a Let b = 0.4 - -2.6. Let m = 309 - 142. Let a = -168.6 + m. What is the third biggest value in b, a, -0.3? a Let m = 1972509 - 41413493/21. Let j = 438 - m. Which is the second biggest value? (a) j (b) -1/2 (c) 4 (d) 0 a Let h = -1.2 + 1. Let i = -7.4 - -5.9. What is the third biggest value in h, i, 0.5? i Let u = 7.4 - 6.4. Which is the second smallest value? (a) u (b) -5 (c) 38 a Let k = 14929/9 + -1659. Let c = -7.5 - -0.5. What is the third biggest value in k, c, -1? c Let y = 0.16 - 7.16. Let v = -7.1 - y. Let a(u) = u**2 - 3*u + 1. Let k be a(0). What is the biggest value in k, 2, v? 2 Let k(x) = x**3 + 3*x**2 + 2*x - 2. Let w be k(-2). Let g = -24028/9 - -2670. Which is the third smallest value? (a) w (b) 1/6 (c) g c Let t = 95 + -92. Suppose -t*f = -5*s + 7, -4*s + 0*f = f - 9. Let p = -1 + 2. What is the second biggest value in s, -3, p? p Suppose 10 + 60 = -35*w. Which is the biggest value? (a) 3/2 (b) w (c) 1/9 (d) -0.1 a Let c = -107 + 123. What is the second biggest value in -3/4, c, 2? 2 Let i = -527 + 527.2. What is the second biggest value in i, -1, 20? i Let s = 4.9219 - -0.0781. Let n = -16 - -11. Which is the smallest value? (a) -4 (b) n (c) s b Suppose 3*v - 3 = 2*v. Let h = 349 - 355. Which is the second biggest value? (a) 0.3 (b) h (c) v a Let y = 2 - 1. Let j = -4456 + 4456.4. What is the biggest value in j, y, -1, -4? y Let r = -47 + 10. Let b = -4.3 - 28.7. Let p = b - r. What is the smallest value in -1/4, 3, p? -1/4 Let v be (0 + 2/(-35))/(20/(-100)). What is the smallest value in 3, 0.14, v? 0.14 Let p = 1453/4 + -364. Let o be 19*(1/(-2) + 1). Let f = o + -10. What is the smallest value in f, -4, p? -4 Let f = 98/65 + -1012/585. Let y = -2 + 5. Which is the third biggest value? (a) f (b) 5 (c) y a Let n = 0.257 + -372.257. What is the second smallest value in 0, n, 0.3? 0 Let s(o) = -o**2 + 3*o + 3. Let y be s(3). Let f be y/(-9) - (-52)/84. Let x = 0.9 - 0.8. What is the second biggest value in x, f, 0.2? 0.2 Let l = 2.05 - 1.85. Let o = -73/3 + 24. What is the second smallest value in l, -5, o? o Let b = -875.7 - -917. Let a = -41 + b. Let s = 0 - -0.2. What is the second biggest value in a, -2, s? s Suppose 3*x = 5*n - 63, n - 5*x = 6*n - 95. Let o be 10/(-25) - (-36)/n. Suppose 4*y - 5*y = -o. Which is the smallest value? (a) 3 (b) -2/7 (c) y b Let b = 23/65 + -2/13. Let x = 4.7 + -0.7. Let i = -11 + x. What is the second biggest value in -2, i, b? -2 Let a = 51.41 - 51. Let z = -33.59 - a. Let d = 30 + z. What is the second smallest value in d, -1.3, -1/3? -1.3 Let l = 239.6 - 239. What is the second biggest value in -4/5, 0, 3, l? l Let i = 495 + -597. What is the third biggest value in -0.5, i, -2? i Let f be 0 - (88/(-24))/(-11). Which is the third smallest value? (a) 4 (b) -1/6 (c) f a Let j = 0.1785 - 0.4585. What is the second smallest value in -1/24, j, 0.4, -3? j Let v = 2047 - 4093/2. Which is the third biggest value? (a) -3 (b) 4 (c) -2/3 (d) v c Suppose 0 = -4*g + 5*o - 4*o + 23, 13 = 2*g - o. What is the biggest value in g, -0.4, 20, 2/3? 20 Let s be 22/14 + -5 - -4. Let u be 2/135*3/(-13). Let w = u + 1192/6435. What is the second smallest value in w, s, -0.5? w Suppose 22 - 4 = 2*d. What is the third biggest value in 0.5, -8, d? -8 Let h = 72 - 48. Let s be -1*(-4)/h - 3/(-9). Let t = 14 - 0. What is the biggest value in s, t, 4? t Let t(k) = -3*k**3 + 2*k**3 - 4*k**2 + 5*k**2 - 1 + 2*k. Let j be t(2). Let i = -35 + 34.7. What is the second biggest value in i, 3, j? i Let p = 1944447/34 + -113719/2. Let o = p + -330. Which is the smallest value? (a) o (b) 1 (c) -2/7 c Let g = 30.048 + -30. Let w = -0.952 - g. What is the third biggest value in 2, w, 1/3, -1/8? -1/8 Let j = -130 - -649/5. What is the fourth smallest value in 2, j, 0.5, -0.05? 2 Let s = 82 - 73. Let v = -9.5 + s. What is the third smallest value in 4, -4, v, 3? 3 Let u be ((-1)/7)/(6/9*3). Which is the biggest value? (a) -0.4 (b) -2/23 (c) u c Let a = -0.5 + 0.2. Let g = -1.8 - 3.8. Let p = -0.6 - g. What is the second smallest value in a, p, 1/4? 1/4 Let w(l) = -3 + 12*l - 18 - 8 + l**2 + 6. Let r be w(-14). Which is the third biggest value? (a) -5 (b) -2/9 (c) -4 (d) r c Suppose -4*r + 3*t = 29 + 54, -r - 19 = t. Let u = r + 31. Which is the smallest value? (a) u (b) 0 (c) -2 c Let w(l) = -l + 25. Let n be w(24). Which is the second biggest value? (a) 4 (b) -0.3 (c) 0 (d) n d Let u = 68/7 + -115/14. Which is the smallest value? (a) u (b) -0.1 (c) 1/22 (d) -3 d Let x = 0.23 + 0.77. Which is the third smallest value? (a) x (b) 3 (c) -1 b Let m = -303/7 + 1529/35. Let v be (-5 - -1)/((-2)/(-5)). Which is the fourth smallest value? (a) 3 (b) m (c) 0 (d) v a Let g = 64.2 - 64.9. Which is the third biggest value? (a) -0.13 (b) g (c) 0.3 b Let y = 113.49 - 113. Let f = y + -3.49. Let m = 1.7 - 2. Which is the third biggest value? (a) m (b) f (c) 0 b Let o be (-84)/(-1610)*1/(-3). Let q = 256/1495 + o. Let w = -0.3 + 0.28. Which is the second smallest value? (a) q (b) w (c) 3/5 a Let f = -82.76 + 0.26. Let g = 83 + f. Let o(a) = -6*a - 1. Let m be o(3). What is the smallest value in g, 0.2, m? m Let y(z) = z**
{ "pile_set_name": "DM Mathematics" }
Factor -p**3 - 89*p**2 - 2107*p - 5547. -(p + 3)*(p + 43)**2 Factor 3*i**4 - 12*i**3 + 6*i**2 + 12*i - 9. 3*(i - 3)*(i - 1)**2*(i + 1) Factor 2*c**2/7 + 1240*c/7 + 192200/7. 2*(c + 310)**2/7 Solve -48*m**4 + 76*m**3 + 928*m**2 - 556*m + 80 = 0. -4, 1/4, 1/3, 5 Factor 3*d**4/2 - 3*d**3. 3*d**3*(d - 2)/2 Factor 2*q**4/11 + 14*q**3/11 + 2*q**2 + 10*q/11. 2*q*(q + 1)**2*(q + 5)/11 Determine v so that 2*v**4 - 364*v**3/5 + 3984*v**2/5 - 11776*v/5 + 4096/5 = 0. 2/5, 4, 16 Solve 8*h**5/5 - 26*h**4/5 - 138*h**3/5 + 36*h**2/5 = 0. -3, 0, 1/4, 6 Find k, given that -2*k**2/7 - 84*k - 6174 = 0. -147 Factor 2*z**4 + 6*z**3 - 176*z**2. 2*z**2*(z - 8)*(z + 11) Determine o, given that -4*o**2 - 728*o - 33124 = 0. -91 What is r in 4*r**3/5 + 456*r**2/5 + 452*r/5 = 0? -113, -1, 0 What is j in 3*j**5/7 + 27*j**4/7 - 312*j**2/7 + 144*j/7 + 432/7 = 0? -6, -1, 2 Determine i, given that -3*i**4/4 + 9*i**3 + 81*i**2/4 + 21*i/2 = 0. -1, 0, 14 Factor -w**3/4 + 37*w**2/4 + 105*w/2. -w*(w - 42)*(w + 5)/4 Find h such that 4*h**5 - 36*h**4 + 416*h**2 + 192*h - 576 = 0. -2, 1, 6 Factor 5*x**4 - 1475*x**3 - 2965*x**2 - 1485*x. 5*x*(x - 297)*(x + 1)**2 Find j such that j**4/4 + 7*j**3/4 - 49*j**2/4 - 307*j/4 - 63 = 0. -9, -4, -1, 7 Determine o, given that 3*o**4 - 171*o**3 + 1623*o**2 - 4905*o + 3450 = 0. 1, 5, 46 Let -6*p**5/5 - 6*p**4 - 136*p**3/15 - 32*p**2/15 + 64*p/15 + 32/15 = 0. What is p? -2, -1, -2/3, 2/3 Suppose 5*o**2 - 75*o + 270 = 0. What is o? 6, 9 Let -2*w**3/5 + 18*w**2/5 + 24*w/5 - 8 = 0. Calculate w. -2, 1, 10 Factor -v**2/2 - 76*v. -v*(v + 152)/2 Find b, given that 2*b**4/5 + 308*b**3/5 - 1254*b**2/5 + 1576*b/5 - 632/5 = 0. -158, 1, 2 Factor -j**2 - 603*j. -j*(j + 603) Let -123*z**2 + 1842*z + 45 = 0. What is z? -1/41, 15 Suppose -s**3 - 14*s**2 - 40*s = 0. What is s? -10, -4, 0 Determine q so that q**4/7 + 4*q**3/7 + 6*q**2/7 + 4*q/7 + 1/7 = 0. -1 Factor 2*x**3/13 - 8*x**2/13. 2*x**2*(x - 4)/13 Determine z, given that -3*z**3/7 - 30*z**2/7 + 12*z/7 + 120/7 = 0. -10, -2, 2 Solve 2*g**3 - 8*g**2 - 22*g - 12 = 0 for g. -1, 6 Factor -2*q**3/13 - 398*q**2/13 - 788*q/13. -2*q*(q + 2)*(q + 197)/13 Factor 6*o**4 + 580*o**3 + 382*o**2 - 192*o. 2*o*(o + 1)*(o + 96)*(3*o - 1) Let 2*z**3 + 16*z**2 + 14*z = 0. Calculate z. -7, -1, 0 Factor 5*c**4 - 810*c**3 + 32805*c**2. 5*c**2*(c - 81)**2 Factor 32*c**3 - 336*c**2 + 882*c - 686. 2*(c - 7)*(4*c - 7)**2 Factor d**3/2 + 37*d**2 + 73*d/2. d*(d + 1)*(d + 73)/2 Factor 25*b**3/6 - 30*b**2 - 55*b/2 + 20/3. 5*(b - 8)*(b + 1)*(5*b - 1)/6 What is h in 7*h**2/4 - 13*h/2 + 6 = 0? 12/7, 2 Let -4*o**5/7 + 32*o**4/7 - 92*o**3/7 + 16*o**2 - 48*o/7 = 0. What is o? 0, 1, 2, 3 Factor -5*u**3 - 1735*u**2 + 20*u + 6940. -5*(u - 2)*(u + 2)*(u + 347) Factor -q**4/7 + 473*q**3/7 - 472*q**2/7. -q**2*(q - 472)*(q - 1)/7 Factor 2*l**2/5 + 268*l/5 + 8978/5. 2*(l + 67)**2/5 Find n such that -2*n**2/9 + 8*n/9 + 10/9 = 0. -1, 5 Let -5*f**3 - 35*f**2/3 + 10*f = 0. What is f? -3, 0, 2/3 Factor -3*v**2/4 + 543*v/2 - 1083/4. -3*(v - 361)*(v - 1)/4 Determine c, given that -22*c**5 - 92*c**4 + 94*c**3 + 20*c**2 = 0. -5, -2/11, 0, 1 Factor -3*h**2 + 12984*h - 14048688. -3*(h - 2164)**2 Factor 20*m**4 + 68*m**3 + 64*m**2 + 16*m. 4*m*(m + 1)*(m + 2)*(5*m + 2) Find y such that -4*y**2/5 - 1592*y/5 - 1588/5 = 0. -397, -1 What is w in -w**4/3 - 7*w**3/3 + 4*w**2 + 68*w/3 - 112/3 = 0? -7, -4, 2 Factor h**5/9 - h**3/9. h**3*(h - 1)*(h + 1)/9 Determine k so that 2*k**3 + 42*k**2 + 112*k + 72 = 0. -18, -2, -1 Find k such that 10*k**3 + 14*k**2 - 416*k - 168 = 0. -7, -2/5, 6 Find n such that 5*n**4 - 70*n**3 + 325*n**2 - 560*n + 300 = 0. 1, 2, 5, 6 Find m, given that 2*m**2/5 + 1256*m/5 + 1254/5 = 0. -627, -1 Solve 6*f**5 + 2*f**4 - 28*f**3 - 8*f**2 + 16*f = 0 for f. -2, -1, 0, 2/3, 2 Determine o, given that 4*o**4 + 4*o**3 - 356*o**2 + 924*o = 0. -11, 0, 3, 7 Factor -d**3/6 + 47*d**2/2 - 69*d. -d*(d - 138)*(d - 3)/6 Suppose 6*f**2 - 431*f + 2310 = 0. Calculate f. 35/6, 66 Factor 4*x**4/3 - 4*x**3 - 20*x**2 - 68*x/3 - 8. 4*(x - 6)*(x + 1)**3/3 Factor 2*f**3/5 - 558*f**2/5 - 2264*f/5. 2*f*(f - 283)*(f + 4)/5 Suppose 2*u**4/17 + 128*u**3/17 - 146*u**2/17 - 1016*u/17 + 1560/17 = 0. Calculate u. -65, -3, 2 Factor -2*h**5/5 - 12*h**4/5 - 18*h**3/5. -2*h**3*(h + 3)**2/5 Factor -15*v**3/2 - 21*v**2/2 - 3*v. -3*v*(v + 1)*(5*v + 2)/2 Find w, given that -3*w**4/2 - 27*w**3 - 141*w**2/2 - 45*w = 0. -15, -2, -1, 0 Let 4*w**2 + 6580*w + 13144 = 0. Calculate w. -1643, -2 Let -p**3/3 + 265*p**2/3 + 4*p/3 - 1060/3 = 0. Calculate p. -2, 2, 265 Solve -4*c**2/23 - 1898*c/23 - 2838/23 = 0 for c. -473, -3/2 Determine y so that -2*y**4 - 134*y**3 + 140*y**2 + 272*y = 0. -68, -1, 0, 2 Factor 28*n**4 - 40*n**3 + 12*n**2. 4*n**2*(n - 1)*(7*n - 3) Factor -5*r**3 + 1115*r**2 + 2245*r + 1125. -5*(r - 225)*(r + 1)**2 Factor -5*c**4/4 - 15*c**3/2 + 45*c**2/4 + 35*c/2. -5*c*(c - 2)*(c + 1)*(c + 7)/4 Suppose -5*w**2/8 - 3*w/2 - 1/2 = 0. Calculate w. -2, -2/5 Solve -9*x**3/8 + 903*x**2/4 - 2991*x/8 + 597/4 = 0 for x. 2/3, 1, 199 Let -26*h**3/17 + 30*h**2/17 - 4*h/17 = 0. Calculate h. 0, 2/13, 1 Determine r, given that r**2/3 + 65*r/3 + 272 = 0. -48, -17 Factor -4*i**5 + 44*i**4 + 120*i**3 - 656*i**2 - 2336*i - 1920. -4*(i - 12)*(i - 5)*(i + 2)**3 Determine a, given that 32*a**3 + 596*a**2 + 348*a - 216 = 0. -18, -1, 3/8 Factor -4*r**2 + 176*r - 1900. -4*(r - 25)*(r - 19) Factor 2*n**2/25 - 658*n/25. 2*n*(n - 329)/25 Factor 4*h**2/3 + 956*h/3 - 320. 4*(h - 1)*(h + 240)/3 Suppose -2*z**3/15 + 404*z**2/15 + 1688*z/5 + 5136/5 = 0. Calculate z. -6, 214 Factor -5*k**2 - 135*k - 460. -5*(k + 4)*(k + 23) Solve -y**3 - 44*y**2 - 525*y - 882 = 0 for y. -21, -2 What is v in -6*v**2/17 + 4330*v/17 + 1444/17 = 0? -1/3, 722 Determine d so that -5*d**2 + 730*d - 1440 = 0. 2, 144 Find v such that v**4/5 + 9*v**3/5 + 28*v**2/5 + 36*v/5 + 16/5 = 0. -4, -2, -1 Solve -4*g**2 - 348*g + 1080 = 0. -90, 3 Factor -4*o**4/7 - 72*o**3/7 + 240*o**2/7 - 248*o/7 + 12. -4*(o - 1)**3*(o + 21)/7 Let 3*c**5/5 + 348*c**4/5 + 10434*c**3/5 + 19836*c**2/5 + 9747*c/5 = 0. Calculate c. -57, -1, 0 Determine t, given that -4*t**5 - 168*t**4 - 1200*t**3 + 11552*t**2 - 26112*t + 18432 = 0. -24, 2 Suppose -d**4/5 + 5*d**3 - 221*d**2/5 + 791*d/5 - 882/5 = 0. What is d? 2, 7, 9 Solve -44*f**5 + 3000*f**4 - 51364*f**3 + 6248*f**2 + 51408*f - 9248 = 0 for f. -1, 2/11, 1, 34 Solve 24*g**4 - 2*g**3 = 0. 0, 1/12 What is t in -4*t**5 - 8*t**4 + 32*t**3 - 8*t**2 - 28*t + 16 = 0? -4, -1, 1 Factor -5*a**5 - 45*a**4 - 105*a**3 - 95*a**2 - 30*a. -5*a*(a + 1)**3*(a + 6) Determine y so that -3*y**2/4 + 9*y/2 - 6 = 0. 2, 4 Factor -7*a**2 + 373*a - 106. -(a - 53)*(7*a - 2) Let -6*k**5 - 58*k**4 - 180*k**3 - 192*k**2 - 64*k = 0. Calculate k. -4, -1, -2/3, 0 Suppose 88500*k**2 + 35440*k + 16 = 0. Calculate k. -2/5, -2/4425 Suppose -18*f**5/5 + 162*f**4/5 + 842*f**3/5 + 1174*f**2/5 + 616*f/5 + 104/5 = 0. What is f? -2, -1, -2/3, -1/3, 13 Factor -k**4 - 105*k**3 - 3675*k**2 - 42875*k. -k*(k + 35)**3 Determine s so that -2*s**5/9 + 4*s**3/9 - 2*s/9 = 0. -1, 0, 1 Solve -r**2 + 15*r + 34 = 0. -2, 17 Suppose -k**3/3 - 16*k**2 - 45*k = 0. What is k? -45, -3, 0 Let -z**4/2 - 4*z**3 - 12*z**2 - 16*z - 8 = 0. What is z? -2 Find l, given that -6*l**5 - 15*l**4/2 + 57*l**3/2 - 21*l**2/2 - 9*l/2 = 0. -3, -1/4, 0, 1 Factor -5*v**4 - 15*v**3 + 195*v**2 + 415*v + 210. -5*(v - 6)*(v + 1)**2*(v + 7) Find r such that -9*r**3/2 - 2445*r**2/2 - 1627*r/2 - 271/2 = 0. -271, -1/3 Factor -3*u**2 - 2772*u - 640332. -3*(u + 462)**2 Factor 3*t**4/8 + 9*t**3/4 - 45*t**2/8 + 3*t. 3*t*(t - 1)**2*(t + 8)/8 Let -57*j**4/2 - 231*j**3 - 480*j**2 - 48*j = 0. Calculate j. -4, -2/19, 0 Solve -2*z**5/15 + 4*z**4/5 + 32*z**3/15 + 4*z**2/15 - 2*z - 16/15 = 0. -1, 1, 8 Let 4*h**5 + 52*h**4 - 4*h**3 - 1060*h**2 + 2304*h - 1296 = 0. Calculate h. -9, 1, 2 Solve -9*c**4/2 + 13*c**3/2 + 91*c**2/6 + 25*c/6 = 0 for c. -1, -1/3, 0, 25/9 Suppose 8*h**5/7 + 6*h**4 - 46*h**3/7 - 342*h**2/7 - 46*h - 60/7 = 0. What is h? -5, -2, -1, -1/4, 3 Factor -2*k**2/7 - 150*k/7 - 292/7. -2*(k + 2)*(k + 73)/7 Factor 5*p**2/4 + 3115*p/2. 5*p*(p + 1246)/4 Factor 3*q**2 - 258*q. 3*q*(q - 86) What is g in -2*g**2 + 40*g - 38 = 0? 1, 19 Suppose 6*s**3/7 - 144*s**2 - 2040*s/7 = 0. What is s? -2, 0, 170 Factor 3*i**2 - 114*i + 7
{ "pile_set_name": "DM Mathematics" }
f(z) = z**2 - 8*z - 16. Let s(v) = -v**3 - 13*v**2 + 8*v - 34. What is the remainder when s(-14) is divided by f(11)? 16 Suppose 5*g = 2*c - 144, -5*c + 2*g + 320 = -c. What is the remainder when c is divided by 21? 19 Let l(p) = 2*p**3 + 2*p. Let t be l(2). Suppose 0 = -5*u + t + 5. Suppose 4*x + 23 = 2*m + 7, x = 3*m - 24. What is the remainder when m is divided by u? 3 Suppose -3*j + 154 = -u, -3*j + 0*u = 2*u - 169. Calculate the remainder when j is divided by 27. 26 Suppose 2*b - 214 = 74. What is the remainder when b/20 + 1/(-5) is divided by 4? 3 Suppose 20 = 3*j - 28. What is the remainder when 30 is divided by j? 14 Suppose -2*x = -5*s - 2, 4 = 2*x - 4*s - 0. Let u(n) = -3*n**2 - 2*n. Let f be u(-2). Calculate the remainder when (138/(-9))/(f/12) is divided by x. 5 Let p(b) = -5*b - 4. Calculate the remainder when p(-11) is divided by 27. 24 Suppose -2*b = -2*f - 2*f - 16, 5*b + 5*f - 40 = 0. Suppose -k - 2 = 2*l, -4*l + 4 = -2*k - b. Calculate the remainder when -3*(-2)/(-9)*-3 is divided by l. 0 Suppose a = -3*a. Let t = -9 - a. Calculate the remainder when (-2)/t*-6*-21 is divided by 15. 13 Let y = -6 - -11. What is the remainder when y/20 - (-195)/4 is divided by 25? 24 Suppose -t + 14 = t. What is the remainder when 19 is divided by t? 5 Let q be -12 + ((-12)/3 - -2). Let n = 27 + q. Let i(s) = -s + 37. Calculate the remainder when i(0) is divided by n. 11 Suppose -2*j - 56 = 2*j + 4*s, 0 = -j + s - 18. Let c be j/10*(-540)/8. What is the remainder when 53 is divided by 1/2 + c/8? 11 Let t = 55 - 5. Suppose -5*c + t + 20 = 0. What is the remainder when 1*-18*(-6)/4 is divided by c? 13 Let a be 3*1 + (-7 - -2). Let u = -1 - a. Calculate the remainder when (-74)/(4/(-2)) + u is divided by 20. 18 Suppose -3*r + 3 + 0 = 0. Let v = 6 - r. What is the remainder when 8 is divided by v? 3 Suppose 0 = 2*o - o - 10. What is the remainder when (7/(-1))/((-1)/4) is divided by o? 8 Let p = -95 - -137. What is the remainder when p is divided by 15? 12 Let n = -18 + 23. Let g = 2 - -14. Calculate the remainder when g is divided by n. 1 Let c(x) = 2*x + 7. Calculate the remainder when 33 is divided by c(5). 16 Calculate the remainder when (-3)/(0 - (-4)/(-28)) is divided by 11. 10 Let x(w) = w**3 + 4*w**2 - w + 4. Let k be x(-4). Let u = k - -5. Calculate the remainder when 49 is divided by u. 10 Let m(a) = -10. Let r(f) = -f. Let i(h) = m(h) - 2*r(h). What is the remainder when i(10) is divided by 6? 4 Calculate the remainder when 5 is divided by 3 - ((-10)/(-5))/(-2). 1 Let c(z) = -z**3 + 17*z**2 - 16*z + 12. Let h be c(16). Suppose -h = 3*f - 5*f. What is the remainder when 28 is divided by f? 4 Suppose -5*r - 12 = -m, 4*m - 2*r + 0*r = 102. Calculate the remainder when m is divided by 8. 3 Let s(u) = -6*u - 2. Let k(j) = -7*j - 1. Let r(t) = 3*k(t) - 2*s(t). Let c be 2/3*-3 + 1. What is the remainder when 29 is divided by r(c)? 9 Let g = 6 + -11. Let o = -7 - g. What is the remainder when 5 is divided by (o/6)/((-3)/27)? 2 Let n = -30 + 50. What is the remainder when 58 is divided by n? 18 Suppose 0*s = 3*s - 132. Suppose -3*b + 3*t - 20 = -t, -s = 5*b - 4*t. Calculate the remainder when (62/(-8))/(3/b) is divided by 11. 9 Let s(h) be the second derivative of h**5/20 + h**4/3 - h**3/6 + h**2/2 - 2*h. Calculate the remainder when 21 is divided by s(-2). 10 Let y = 57 - 13. Let o(s) = 2*s**3 + 10*s**2 + 2*s - 9. Calculate the remainder when y is divided by o(-4). 14 Let n(z) = 2*z**2 - 9*z - 37. What is the remainder when n(-7) is divided by 25? 24 Let z = 47 - 26. Suppose -4*t = -27 - 17. What is the remainder when z is divided by t? 10 Suppose 0 = 4*y - 20 - 0. Suppose u - y*o = -u - 18, 4 = o. Calculate the remainder when u is divided by 1. 0 Let s(w) = w**2 + 10. Let p = -8 + 8. What is the remainder when s(p) is divided by 3/9 - 34/(-6)? 4 Let z = -20 - -35. Suppose -z = -2*y + 21. Let n(f) = 34*f**2. Calculate the remainder when n(1) is divided by y. 16 Let u = -35 - -53. Let r = 7 - 9. Calculate the remainder when (-1 - -35) + 1 + r is divided by u. 15 Suppose 3*b - 3*m - 33 = 0, 5*b + m + 3*m = 100. What is the remainder when b is divided by 9? 7 Let c = -3 + 17. Let a(n) be the first derivative of -n**3/3 - 3*n**2 - 3*n - 1. What is the remainder when c is divided by a(-4)? 4 Let y(z) = 8*z**3 - z + 1. Suppose -2*v - m = -2*m - 1, m = -2*v + 3. What is the remainder when y(v) is divided by 1 + 4 - (1 - -1)? 2 Let x be -7 + 7 + 1 + 26. Suppose -x = -4*b + 17. Calculate the remainder when 41 is divided by b. 8 Suppose 2*i + 12 = 6*i. Suppose 0 = 5*v + 2 + 28. Calculate the remainder when -2*(-3)/v + 9 is divided by i. 2 Let a(j) = 4*j + 11. Calculate the remainder when a(3) is divided by 13. 10 Suppose 0 = -2*q - 5 + 21. What is the remainder when 31 is divided by q? 7 Let s(w) = w**2 - 4*w + 3. Let f = 9 - 7. Suppose 42 = 2*u + 4*g, 3*g - 12 = -f*u + 26. Calculate the remainder when s(7) is divided by u. 11 Let m(s) = -3*s + 28. What is the remainder when 76 is divided by m(7)? 6 Let d = 124 + -83. Calculate the remainder when d is divided by 14. 13 Let x(i) = -5*i + 16. Calculate the remainder when 79 is divided by x(0). 15 Let u(h) = h**2 + 6*h + 7. Let a(b) = b**3 + b**2 + 6*b**2 + 3 - 3*b**2. Calculate the remainder when a(-4) is divided by u(-5). 1 Let p = 19 + -15. What is the remainder when 14 is divided by p? 2 Suppose 0 = -4*a - 20, -4*s - a + 0*a = -35. Calculate the remainder when 18 is divided by s. 8 Let l(j) = j**2 + 3*j + 4. Let x = 17 + -9. What is the remainder when l(-5) is divided by x? 6 Let p(h) = 58*h + 1. Let q be (-15)/15 - (-1 - 1). What is the remainder when p(q) is divided by -4*4/((-32)/30)? 14 Let i(t) = t**3 + t**2 + 2*t + 4. Let z be i(5). Calculate the remainder when 47 is divided by z/14 + (-6)/(-21). 11 Let c = -9 - -13. Calculate the remainder when c is divided by 0/(-2) + (-2)/(-1). 0 Let w(z) = -z**3 - z**2 - 2*z - 3. What is the remainder when 6 is divided by w(-2)? 1 Suppose k - 2*k + 10 = 0. What is the remainder when 39 is divided by k? 9 What is the remainder when 67 is divided by (0 - -20)/((-8)/(-4))? 7 Let x be (3/(-2))/((-2)/24). Let a = x - 14. Calculate the remainder when 14 is divided by a. 2 Suppose -4*j - 5*s = -54 - 27, 5*j - 75 = -s. What is the remainder when j is divided by 8? 6 Let d = 61 - -7. Suppose 3*z = 4*s - 53, 3*s = -0*s - z + 43. Calculate the remainder when d is divided by s. 12 Let w(s) = 8*s + 3. Calculate the remainder when 16 is divided by w(1). 5 Calculate the remainder when (187/(-2) - -1)*(-6)/5 is divided by 56. 55 Let t(h) = -1. Let i(c) = c**2 + c + 6. Let n(l) = i(l) + 2*t(l). Let w = 3 - -10. What is the remainder when n(4) is divided by w? 11 Let m = 5 + 0. Suppose -h = -m*f + 4*f - 4, 0 = 3*f. What is the remainder when h is divided by 2? 0 Let n(y) = 2*y + 5 + y - 10. Suppose 14 = 3*t - 25. Calculate the remainder when t is divided by n(4). 6 Suppose -r + 19 = -31. Suppose 2*a - y - 42 + 8 = 0, 0 = 2*a + 3*y - r. What is the remainder when 55 is divided by a? 17 Let q = 8 - 7. Suppose -4*s + 6*y - 2*y = -24, s - 26 = -3*y. Calculate the remainder when s is divided by ((-15)/25)/(q/(-10)). 5 Suppose 4*j - 38 = 70. Suppose 3*y = -i + 35, 4*y - 3*i + 11 = 36. Calculate the remainder when j is divided by y. 7 Suppose 0 = -n - 0*n + 4. Let r(g) = -3*g - 9. Calculate the remainder when r(-5) is divided by n. 2 Suppose 2*l = 31 + 129. Calculate the remainder when l is divided by 41. 39 Let u = -12 - -15. Calculate the remainder when 45 is divided by u*(-1 + 38/6). 13 Let f(i) = -i + 13. What is the remainder when f(8) is divided by 2? 1 What is the remainder when 82 is divided by 24 + 1 - ((-20)/(-5) - 1)? 16 Suppose 3*n - 2*w = -1 + 14, -n + 21 = -4*w. Let r be (0 + 13)/(n - 0). Suppose -49 - r = -2*j. What is the remainder when j is divided by 16? 15 Let q(c) = 2*c. Let y(j) be the second derivative of 2*j**3/3 + j**2/2 - j. Let w(g) = 7*q(g) - 3*y(g). Calculate the remainder when w(8) is divided by 7. 6 Let k = -13 - -23. Let h = 46 + -19. What is the remainder when h is divided by k? 7 Suppose 8*p + p = 1143. Calculate the remainder when p is divided by 43. 41 Suppose 2*h - g = 15, 2*g + 9 = 2*h + 3*g. Suppose 0 = -h*o + o + 5. Suppose 0 = -3*y - y + 8.
{ "pile_set_name": "DM Mathematics" }
digit of 2274? 2 What is the ten thousands digit of 97329? 9 What is the hundreds digit of 12691? 6 What is the tens digit of 1499? 9 What is the tens digit of 25173? 7 What is the tens digit of 19075? 7 What is the units digit of 527? 7 What is the hundreds digit of 1138? 1 What is the ten thousands digit of 73203? 7 What is the units digit of 2448? 8 What is the tens digit of 17348? 4 What is the hundreds digit of 3499? 4 What is the units digit of 1915? 5 What is the hundreds digit of 30779? 7 What is the tens digit of 6493? 9 What is the thousands digit of 67414? 7 What is the units digit of 12378? 8 What is the thousands digit of 7605? 7 What is the tens digit of 44673? 7 What is the ten thousands digit of 42004? 4 What is the thousands digit of 9563? 9 What is the tens digit of 392? 9 What is the units digit of 64628? 8 What is the units digit of 2650? 0 What is the units digit of 20929? 9 What is the hundreds digit of 1311? 3 What is the thousands digit of 25535? 5 What is the units digit of 7632? 2 What is the tens digit of 907? 0 What is the units digit of 202426? 6 What is the thousands digit of 1634? 1 What is the units digit of 5514? 4 What is the thousands digit of 53415? 3 What is the tens digit of 82223? 2 What is the units digit of 548? 8 What is the thousands digit of 21913? 1 What is the tens digit of 878? 7 What is the tens digit of 16136? 3 What is the hundreds digit of 16838? 8 What is the units digit of 4069? 9 What is the units digit of 41200? 0 What is the tens digit of 1969? 6 What is the thousands digit of 1320? 1 What is the tens digit of 9208? 0 What is the units digit of 13649? 9 What is the hundreds digit of 1760? 7 What is the hundreds digit of 2232? 2 What is the tens digit of 982? 8 What is the tens digit of 21403? 0 What is the tens digit of 1164? 6 What is the tens digit of 23125? 2 What is the hundreds digit of 5222? 2 What is the tens digit of 5790? 9 What is the tens digit of 756? 5 What is the hundreds digit of 73009? 0 What is the thousands digit of 1188? 1 What is the hundreds digit of 1807? 8 What is the units digit of 832? 2 What is the hundreds digit of 5319? 3 What is the thousands digit of 26854? 6 What is the tens digit of 10203? 0 What is the hundred thousands digit of 118951? 1 What is the units digit of 4895? 5 What is the thousands digit of 14697? 4 What is the units digit of 648? 8 What is the hundreds digit of 144? 1 What is the units digit of 492? 2 What is the tens digit of 3889? 8 What is the thousands digit of 70786? 0 What is the tens digit of 49098? 9 What is the hundreds digit of 4755? 7 What is the units digit of 1442? 2 What is the hundreds digit of 998? 9 What is the units digit of 242? 2 What is the hundreds digit of 1187? 1 What is the hundreds digit of 5782? 7 What is the thousands digit of 78200? 8 What is the hundreds digit of 1479? 4 What is the tens digit of 819? 1 What is the ten thousands digit of 15267? 1 What is the tens digit of 17001? 0 What is the ten thousands digit of 142377? 4 What is the units digit of 1886? 6 What is the hundreds digit of 298? 2 What is the units digit of 1? 1 What is the ten thousands digit of 11821? 1 What is the units digit of 65812? 2 What is the tens digit of 2697? 9 What is the ten thousands digit of 32524? 3 What is the units digit of 395? 5 What is the thousands digit of 3462? 3 What is the hundreds digit of 43172? 1 What is the tens digit of 1796? 9 What is the tens digit of 1873? 7 What is the units digit of 5987? 7 What is the tens digit of 7750? 5 What is the units digit of 9668? 8 What is the ten thousands digit of 122038? 2 What is the hundreds digit of 169581? 5 What is the hundreds digit of 906? 9 What is the hundreds digit of 4025? 0 What is the ten thousands digit of 41605? 4 What is the units digit of 4121? 1 What is the units digit of 473? 3 What is the hundreds digit of 986? 9 What is the tens digit of 107515? 1 What is the tens digit of 92411? 1 What is the thousands digit of 86252? 6 What is the hundreds digit of 47514? 5 What is the units digit of 1506? 6 What is the hundreds digit of 1756? 7 What is the units digit of 647? 7 What is the hundreds digit of 252? 2 What is the ten thousands digit of 15784? 1 What is the hundreds digit of 14242? 2 What is the units digit of 11788? 8 What is the hundreds digit of 3332? 3 What is the units digit of 103441? 1 What is the tens digit of 3093? 9 What is the thousands digit of 72540? 2 What is the thousands digit of 9980? 9 What is the hundreds digit of 16440? 4 What is the hundreds digit of 4511? 5 What is the hundreds digit of 641? 6 What is the ten thousands digit of 110065? 1 What is the tens digit of 12? 1 What is the tens digit of 162138? 3 What is the thousands digit of 1774? 1 What is the units digit of 3902? 2 What is the units digit of 398? 8 What is the tens digit of 86267? 6 What is the hundreds digit of 7265? 2 What is the thousands digit of 18240? 8 What is the hundreds digit of 1248? 2 What is the units digit of 23081? 1 What is the thousands digit of 28025? 8 What is the hundreds digit of 187004? 0 What is the hundreds digit of 1066? 0 What is the tens digit of 2497? 9 What is the units digit of 8791? 1 What is the hundreds digit of 514? 5 What is the units digit of 13264? 4 What is the hundreds digit of 14766? 7 What is the hundreds digit of 509? 5 What is the tens digit of 192? 9 What is the ten thousands digit of 20606? 2 What is the ten thousands digit of 51146? 5 What is the hundreds digit of 3104? 1 What is the thousands digit of 112470? 2 What is the hundreds digit of 7917? 9 What is the units digit of 217? 7 What is the units digit of 4742? 2 What is the ten thousands digit of 40811? 4 What is the tens digit of 2190? 9 What is the units digit of 59276? 6 What is the hundreds digit of 980? 9 What is the thousands digit of 8280? 8 What is the tens digit of 26684? 8 What is the hundreds digit of 9328? 3 What is the tens digit of 216? 1 What is the tens digit of 43? 4 What is the units digit of 48270? 0 What is the tens digit of 1368? 6 What is the thousands digit of 54293? 4 What is the tens digit of 8549? 4 What is the tens digit of 970? 7 What is the thousands digit of 1883? 1 What is the ten thousands digit of 44557? 4 What is the hundreds digit of 91565? 5 What is the tens digit of 74617? 1 What is the tens digit of 558? 5 What is the tens digit of 470? 7 What is the units digit of 6296? 6 What is the thousands digit of 2470? 2 What is the tens digit of 64912? 1 What is the tens digit of 11166? 6 What is the hundreds digit of 83283? 2 What is the hundreds digit of 1853? 8 What is the hundreds digit of 3602? 6 What is the thousands digit of 9354? 9 What is the tens digit of 191021? 2 What is the units digit of 18288? 8 What is the hundreds digit of 1381? 3 What is the tens digit of 5189? 8 What is the thousands digit of 3417? 3 What is the hundreds digit of 1048? 0 What is the thousands digit of 11916? 1 What is the units digit of 296? 6 What is the ten thousands digit of 45047? 4 What is the tens digit of 27606? 0 What is the hundreds digit of 1740? 7 What is the tens digit of 12403? 0 What is the thousands digit of 19342? 9 What is the ten thousands digit of 50312? 5 What is the thousands digit of 10177? 0 What is the hundreds digit of 13404? 4 What is the units digit of 5656? 6 What is the hundreds digit of 2436? 4 What is the tens digit of 736? 3 What is the ten thousands digit of 70158? 7 What is the hundreds digit of 2856? 8 What is the hundreds digit of 6560? 5 What is the tens digit of 660? 6 What is the units digit of 45597? 7 What is the thousands digit of 1499? 1 What is the units digit of 1294? 4 What is the units digit of 855? 5 What is the tens digit of 50655? 5 What is the units digit of 26798? 8 What is the thousands digit of 1200? 1 What is the units digit of 1736? 6 What is the units digit of 1719? 9 What is the thousands digit of 1413? 1 What is the tens digit of 492? 9 What is the hundreds digit of 17173? 1 What is the ten thousands digit of 26057? 2 What is the tens digit of 2049? 4 What is the tens digit of 1698? 9 What is the ten thousands digit of 19801? 1 What is the units digit of 2202? 2 What is the hundreds digit of 16699? 6 W
{ "pile_set_name": "DM Mathematics" }
((q*q*(q/q**(-3/8))/q*q)/q**2*(q/q**(-1/4))**(-29/3)) assuming q is positive. q**(859/80) Simplify ((q**0)**(16/11))**(-40)/(q**1*q*q**(-4)*(q/q**(-1/3))**(-43)) assuming q is positive. q**(178/3) Simplify ((l**1*l**(-5)*l)/(l**4/(l**(-1/11)/l)))/((l**(-1))**(-1/3)*(((l*l**(-1))/l)/l)**(-2/15)) assuming l is positive. l**(-478/55) Simplify ((o**(1/4))**(-3))**14*((o**(-2/11)*o)/(o/((o*(o*o/(o/(o/(o/(o*o*o/((((o**(-6/13)*o)/o)/o*o)/o*o))))*o*o)*o)/o)/o)*o))**29 assuming o is positive. o**(7611/286) Simplify (n**0)**(9/8)*(n**(-3)*n)/(n/(n**(2/3)/n)*n*n)*(n/(n**0/n))**(-1/2)/(n/(n/n**(1/3)))**16 assuming n is positive. n**(-35/3) Simplify ((((d/((d/d**(5/4)*d)/d*d))**(-23/3))**2)**8)**(-2/81) assuming d is positive. d**(184/243) Simplify ((i/((i**2/i*i)/i)*i/(i**(2/15)*i*i))/(i**(-8)*i**8))/(i**(-2/11)*i**(-8/3)*(i**(-2/3)*i*i)**(-1/23)) assuming i is positive. i**(2243/1265) Simplify ((((d**0/d*d)/d)/(d/d**(-5)*d*d))/(d**(-2/5))**46)/((d/d**(-1))**(-20)/((d/(d/d**(2/5)))/d*d/d**(5/4))) assuming d is positive. d**(971/20) Simplify ((n*n**(1/4))/n)**(2/5)/((n**(-1/4)/n)/(n/(n**1*n)*n))*n**5/(n*n*n**(-8)*n)*((n/((n*n/((n**(-2)*n)/n)*n)/n*n))/n)**(-2) assuming n is positive. n**(427/20) Simplify (((i*i**(-19)/i*i)/i)/(i**8*i)*i*i**(-18/7)*i**(-5)/i)**(-46) assuming i is positive. i**(11454/7) Simplify m**7/(m*m*m*m**(-8))*(m**1)**(-4)*((m*m**(-1/4))/(((m*m**(1/6))/m)/m))/(m/(m*m**(-5))*m*m**0) assuming m is positive. m**(43/12) Simplify (b**(1/12)*b*b*b**(-1/2)*b*b*b)/(b**(-2/13)/(b**4*b*b))*((b**3/b)/(b*b*b/b**9))**(-1/22) assuming b is positive. b**(17801/1716) Simplify ((y/(y*y**(4/3)))**(2/27)/(y**(-6)/(y*y*y**5)))**(18/5) assuming y is positive. y**(418/9) Simplify (k**(4/5)*k*k**(-8)*((k**3*k)/k)**(-50))**(-18) assuming k is positive. k**(14058/5) Simplify ((m*m**(-2/7)*m*m)**(7/10)/(m**7*m*m/m**2))/((m**(2/5))**(-15/2)*(m*m**(-4))/(m/(m/(m/(m/(m*m**(2/7))))))) assuming m is positive. m**(153/70) Simplify ((r**(-1)*r)**28*(r**(-2/7))**42)/(r**(1/8)/(r*r*r/(r**(-3/5)*r)))**(-3/20) assuming r is positive. r**(-9897/800) Simplify (q**(-4)*q)/((q/(q/(q**(-3)/q)))/q*q)*q**(-4)*q/(q/(q/(q**(-1/2)/q)))*(q**(-8)/(q*(q*q/(q/(q/q**(-1/2)))*q)/q))**(-8) assuming q is positive. q**(183/2) Simplify (u**(2/5)/u)**(-6/19)/(u**2*u**(3/7))*(u**7/u*u**(-2/5))/(((u*(((u*u*u*u*u**(1/10)/u*u*u)/u)/u)/u)/u)/(u**2*u*u)) assuming u is positive. u**(6997/1330) Simplify ((z*z**(-4))**(7/4)/(z**(-9)*z**(2/21)))**16 assuming z is positive. z**(1228/21) Simplify w**(-15)*w*w**(-12)*(w/(w/w**(-31)))/(w/w**(4/7)) assuming w is positive. w**(-402/7) Simplify ((w/(w**4*w))/w**32)/(w**(-9/4)/w*w**(1/9)) assuming w is positive. w**(-1183/36) Simplify (a/(a*a/(a*(a*a**8)/a*a))*a*a**(-4/9)*a)**(5/13)/((a**(1/10)/(a/a**(-2/5)))/((a/(a/a**(1/6)*a*a))/(a**(-5)/a))) assuming a is positive. a**(5573/585) Simplify (v**(-5)/v)/(v*v*v**(-1/4)*v)*v**7*v/(v*v**(-2/17)*v)*(v**0)**(4/25)/(v**(1/6)*v/(v**(-2/7)/v)) assuming v is positive. v**(-7261/1428) Simplify (a**25/a)/a**22*a**(8/11)*a*a*a**45 assuming a is positive. a**(547/11) Simplify ((j/(j*j/(j*j/(j*j*j/(j*j*j/(j/((j*j**(-1))/j)))))))**(1/26))**(2/9)*((((j**(-1)/j)/j)/j)**(-1/34))**(-7/2) assuming j is positive. j**(-836/1989) Simplify ((q/(q/(q*q**(-3/2))*q))/q*(q*q**(1/4))/q)/(q**3*q*(q*q**5)/q)*(q*q/q**(-2/3)*q/(q*q**(-11))*q)**(-6/7) assuming q is positive. q**(-667/28) Simplify (((i/(i/((i**25/i)/i))*i*i)/i)/i)**(-23)*(i*i**(2/103))**44 assuming i is positive. i**(-49867/103) Simplify (((x**(-11)*x**(10/3)/x)**(-2/123))**38)**(2/21) assuming x is positive. x**(3952/7749) Simplify ((((i*i/(i*((i*i**(-35)*i)/i*i)/i))/i)/i**(-2/9))/(i*i*i**(-1/27))**(-20))**(-3) assuming i is positive. i**(-1984/9) Simplify (((x/x**(-2/7))**0/(x/(x*x**(-1/5))*x*x**(-2/9)))**4)**48 assuming x is positive. x**(-2816/15) Simplify ((r/(r/r**(1/3)))**(5/3))**(3/32)/((r*r*r**(-9)*r*r*r**8/r)/(r**(2/11)*r*r/r**(2/9))) assuming r is positive. r**(37/3168) Simplify (q**(-18)*q*q*q**(2/27))/((q*q**28*q)/q*q/(q/(q/q**(-6)))) assuming q is positive. q**(-1402/27) Simplify (n/(n**(-9/4)/n)*n/n**(-1/2)*n)**(-10)/(((n**(1/2)*n)/n**(-1/7))/(n/n**(1/2))**46) assuming n is positive. n**(-323/7) Simplify (((p**(1/3))**(-17/3)*((p/(p/((p/(p/p**9))/p)))/p)/p**(2/53))**(21/8))**(5/8) assuming p is positive. p**(21175/2544) Simplify ((h/(h/((h**(-2/17)/h)/h)))/(h**(-2)/h))/(h**(-2/7)/(h**(-2/9)/h))*(((h**(-2/5)/h*h)/h)/(h*h*h**1))/(h**5*h/h**(-2/13)) assuming h is positive. h**(-738476/69615) Simplify (((((n**(2/3)/n)/n)/n**7)/((n*n**(6/7))/n*n/(n*n**(-2/13))*n*n))**(-15))**(-24) assuming n is positive. n**(-371640/91) Simplify ((q**(-2/11)*q**(-1)*(q**(2/5))**(-4))**(-40))**(4/23) assuming q is positive. q**(4896/253) Simplify (((g**(1/2))**38/(g*g**2*g*g)**37)**44)**50 assuming g is positive. g**(-365200) Simplify (b*(((b/b**(-1))/b)/b)/b*b)**(-2/93)*(b**(-1/4))**(-21)*(b/(b*(b**12*b*b)/b)*b**(3/2))**(1/16) assuming b is positive. b**(13421/2976) Simplify ((v**(-3/10)/v*(v/(v/v**3))/v)/((v/v**7)/v**(1/4)))/(v**(2/15)*v**(1/18)/v)**(-36) assuming v is positive. v**(-89/4) Simplify ((j/(j*j**4/j)*(j/(j/(j/(j*j*j**(3/7)/j)*j)))/j)/(j**1)**(9/5))/(j*j/((j*j**(-2))/j)*j**2*j**5/(j*j*j**5)) assuming j is positive. j**(-323/35) Simplify ((v/((v*v**(2/51))/v)*v)/v*v*v*v*v**(-11)*v**(-9)*v**23)**(-45) assuming v is positive. v**(-5325/17) Simplify a**(-3)*a/(a*a**(2/7)*a)*(a/a**(2/3))**(-9/2)*(a**(-2))**(-1/12)/(a*(a**(2/5)*a*a)/a)**21 assuming a is positive. a**(-5882/105) Simplify (((j*j**(-1/2))/j)**(-1/37)*(j*j**(-1)*j*j)**(-1/35))/((j**(2/7))**(-9))**(-34) assuming j is positive. j**(-226553/2590) Simplify (k**5/k**(9/5))/(k**(-2/7))**23*((k/(k/k**0))/k**3)/((k/(k/(k*k**(-1))))/k*k)**(-38) assuming k is positive. k**(237/35) Simplify ((h*h*h**(2/21))/(h/(h*h**7/h*h)))**6*(h**(1/5))**(-2/9)*h**(-3/2)/h**1 assuming h is positive. h**(32777/630) Simplify ((v/((v**(-2)/v)/v))/v*v**5*(v**(1/2)*v)/v*v**(-3/7))/((v/v**1)/v**4*((v*v/v**6)/v)/(v*v/(v*v**(-4/9)*v)*v*v)) assuming v is positive. v**(2585/126) Simplify ((v*(v**(-17)*v)/v*v**(-2/35))/((v/v**30)/(v/(v/v**(1/5)))))**26 assuming v is positive. v**(2392/7) Simplify ((m/(((m*m**(3/5))/m*m)/m)*m**(-32))/((m*m**(-21)/m*m)/(m*m/m**(-6))))**8 assuming m is positive. m**(-144/5) Simplify ((d**(-8)*d)/d**4)**(-5/7)*((d/d**(2/7))**(-22))**17 assuming d is positive. d**(-1815/7) Simplify (k**(-1)*k*k)**(-40)*(k/(k*k**1))**(-47)*(k**(-3/2)*k**(-1/2)/k)/(k**(-1)/k**3) assuming k is positive. k**8 Simplify ((v**(1/11)*v/v**0*((v*v**4)/v)/v*(v*v**(-4/3))/v)**(-40))**(-2/107) assuming v is positive. v**(7280/3531) Simplify (v**(-2/7)/v*v/(v/v**0*v)*v)**45/(v**(1/3)*v**6*v**(3/2)*v/((v*v/(v**(-1/2)*v*v))/v)*v) assuming v is positive. v**(-1432/21) Simplify ((((a/(a*a**(-2/9)*a*a))/(a*a**(-12)))**(-4/21))**(-12/17))**(2/75) assuming a is positive. a**(2656/80325) Simplify (((l**30/l)/l*l)**(-10)/((l**34/l)/l*l*l*l/(l*l*l**(5/11)*l)))**(-22/5) assuming l is positive. l**(7074/5) Simplify ((m/(m/m**(-1/2)*m))/(m**(-5)*m*m))/((m*m*m/(m/(m**4*m))*m*m*m*m)/m*m**(1/4))*(m**(-4/7)/m)/(m*m/(m**2*m))*(m**(1/2))**(-44) assuming m is positive. m**(-877/28) Simplify ((((g*g**(2/3))**(1/3))**(-4/19))**29)**(-2/29) assuming g is positive. g**(40/171) Simplify (l*l**(2/7)/l)**(-1/12)/(l**(-2/9)/(l*l**(2/7)/l*l))*(l**(-7)/l**4)/(l**1)**(4/29) assuming l is positive. l**(-35275/3654) Simplify (z*(z**8*z)/z*z/z**8)**25/((z/z**(-2/9))/(z*z**(-3/4))*z**(-1)*z**(2/7)) assuming z is positive. z**(12535/252) Simplify (i/((i*i**25)/i)*i)/(i**(-22)/i)*(i**(2/29)*i)**(-49) assuming i is positive. i**(-1519/29) Simplify (((r*r*r*r*r*r**(6/23)*r*r*r)/r)/(r/(r/((r/r**42)/r)*r)))/(r**(-7/5))**(9/2) assuming r is positive. r**(13009/230) Simplify ((b**(-1))**(-1/5)/(b/(b**(-4/13)/b))**33)**(-29) assuming b is positive. b**(143173/65) Simplify (n**(-6)/((n/(n/(n**(-1/5)*n))*n)/n))**9/((n/n**(-2/9))/((n/(n**(-3/4)*n))/n)*(n*n**(-2/7))/n*n**(-3)) assuming n is positive. n**(-74827/1260) Simplify (((w*w*w**(-5/6))/w*w*w**(22/7)*w)/((w**(-3/5)/w)/w*w/(w**26/w)))**(-15) assuming w is positive. w**(-6701/14) Simplify (n/(n**(1/4)*n))**4*n/(n**(1/5)/n)*n*n**(-2/3)*n*(n*n**(-1))**(-31)/(n**0/n)**10 assuming n is positive. n**(182/15) Simplify ((a**(2/7)*a*a)/(a/(a**(-1/10
{ "pile_set_name": "DM Mathematics" }
t j? -13584*w**2 - 6*w + 6 What is the first derivative of -2*c**4 - 1506*c**2 + 2110? -8*c**3 - 3012*c What is the first derivative of 522*b - 241 wrt b? 522 Find the second derivative of 25*a**3*h**2 - 7*a**2*h**2*u + a*h**2*u + 11*a*h**2 + h*u + 8*u wrt a. 150*a*h**2 - 14*h**2*u Differentiate -21*g**2*i**3*w - 1332*g**2*i**3 + g**2*w - 11*w with respect to w. -21*g**2*i**3 + g**2 - 11 What is the second derivative of -104*w**3 - 7*w + 23 wrt w? -624*w What is the second derivative of 2609*a**2 + 2*a - 1186 wrt a? 5218 Find the third derivative of 9*c*r**3 - 2*c*r**2 - 55*c*r + r**6 - 6*r**3 wrt r. 54*c + 120*r**3 - 36 What is the derivative of -4*d**2*o**2 - d**2*o + 2*d*o**3 - 15*o**3 - o**2 wrt d? -8*d*o**2 - 2*d*o + 2*o**3 What is the third derivative of 4*o**4*z + 2*o**4 - 20*o**3*z + o**2*z + 3*o**2 + 25*z wrt o? 96*o*z + 48*o - 120*z What is the second derivative of 51*m**5*z - m**4 - 2*m**3*z + m*z - 2*m - 2 wrt m? 1020*m**3*z - 12*m**2 - 12*m*z What is the first derivative of m*u**3 - 5*m*u**2 - 134*m - 4*u**3 wrt u? 3*m*u**2 - 10*m*u - 12*u**2 Differentiate 48*u*z**3 - 2*u*z**2 - 50*z**3 + 2*z wrt u. 48*z**3 - 2*z**2 Differentiate -28*c**2*z + 1734*c**2 - 8*c*z**2 + 9*c*z - 1 with respect to z. -28*c**2 - 16*c*z + 9*c Differentiate -6*w**2*x*z + 7*w**2 - w*z**3 + 59*x**2*z**3 + x**2 + 3*z - 66 wrt x. -6*w**2*z + 118*x*z**3 + 2*x Differentiate -8582*g**3 - 4195. -25746*g**2 Find the third derivative of -86*y**4 - y**3 - 237*y**2 + 1 wrt y. -2064*y - 6 Find the first derivative of 548*k*r*t**2 - 3*k*r - 2*k*t**2 - k*t - 2*r*t**2 + r - 497*t wrt r. 548*k*t**2 - 3*k - 2*t**2 + 1 What is the derivative of 5*q**4 - 12*q**2 + 83? 20*q**3 - 24*q Find the second derivative of 5*j**3 - 34*j**2 - 319*j. 30*j - 68 Find the third derivative of -2*v**3*w**3*x - 617*v**3*w*x - 2*v**2*w**3*x + 34*v**2*w**2*x - 2*v*x wrt v. -12*w**3*x - 3702*w*x Find the first derivative of 35*m**2*s + 67*m**2 - 9*m*s - 6*m wrt s. 35*m**2 - 9*m Differentiate 198*d*s - s - 11 wrt d. 198*s Find the third derivative of 2*d**3*g**3*m**2 - 236*d**3*m**2 + 39*d**2*g**2*m**2 - d**2*g*m - 3*d**2*m**2 + 2*d*g**3*m**2 wrt d. 12*g**3*m**2 - 1416*m**2 Find the third derivative of 3447*i**4 + 2194*i**2 wrt i. 82728*i What is the second derivative of -2*m**3*z**3 + 2*m**3 + 18*m*z**3 + 3*z**3 + 4*z - 1 wrt z? -12*m**3*z + 108*m*z + 18*z Differentiate 4*c**2*g**3 - 8*c**2*g + 2*c*g - 123*g**3 with respect to c. 8*c*g**3 - 16*c*g + 2*g Find the third derivative of -5770*a**3*w - 24*a**2*w - 5*a**2 + 5*a*w - 2*w wrt a. -34620*w Differentiate -4*q**2*u**3 + 4*q**2*u - q*u**3 + u**3 + 8 with respect to q. -8*q*u**3 + 8*q*u - u**3 What is the first derivative of 62*g*n**3 + g + 2*n**2 - n - 177 wrt n? 186*g*n**2 + 4*n - 1 Differentiate 2*w**4 + 3*w + 113. 8*w**3 + 3 What is the second derivative of -22*j*t**5 + 2*j*t**3 - 4*j*t - 4*j wrt t? -440*j*t**3 + 12*j*t Find the second derivative of -2*q**4 + 1261*q**3 - 17596*q. -24*q**2 + 7566*q What is the derivative of 180*c**3 + c**2 + 294 wrt c? 540*c**2 + 2*c What is the second derivative of -10*t**5*v**2 + 17*t**3*v**2 - 5*t - 2*v**2 wrt t? -200*t**3*v**2 + 102*t*v**2 Find the second derivative of 2*j**5 + 9*j**4 + 262*j. 40*j**3 + 108*j**2 Find the second derivative of -d**2*y**2 + 503*d**2*y + 20*d*y**3 - 3*y**4 wrt y. -2*d**2 + 120*d*y - 36*y**2 What is the third derivative of 28*r**6 - 20*r**5 + 181*r**2 - 2*r - 9? 3360*r**3 - 1200*r**2 Find the third derivative of 4*a**3*j*r**3 + 9*a**3*j*r - 90*a**2*j**2*r**3 + 8*a**2*j*r**2 + 2*a*j**2*r**2 - 2*a*r**2 wrt r. 24*a**3*j - 540*a**2*j**2 Find the second derivative of 5*b**3*m**3 - 298*b**3*m + 16*b*m**2 - 14*b - 4*m**3 wrt b. 30*b*m**3 - 1788*b*m What is the derivative of 3*b*x**3*y + 2*b*x**2 + 3*b*y - 6*b + 4*x**2*y - y wrt x? 9*b*x**2*y + 4*b*x + 8*x*y Find the first derivative of -161*f**2*q**4 + 13*f**2*q - 2*f**2 - 17*f - 68 wrt q. -644*f**2*q**3 + 13*f**2 Find the first derivative of -12606*r**2*u**3 + 19775*u**3 wrt r. -25212*r*u**3 Find the third derivative of 2*b**2*q**5 + 14*b**2*q - 56*b*q**5 + 3*b + 3*q**2 wrt q. 120*b**2*q**2 - 3360*b*q**2 What is the third derivative of a**3*f*j**3 - 9*a**3*f*m**2 - 2*a**3*f*m + 2*a**2*f*j**2*m**2 + 2*a**2*f*m - 27*a**2*j**3*m + 2*a**2*m**2 + a*f*j**3*m**2 wrt a? 6*f*j**3 - 54*f*m**2 - 12*f*m Find the second derivative of 53*o**3*s - 17*o*s + 7*s wrt o. 318*o*s Find the second derivative of -24*w**5 + 12*w**4 + 5296*w. -480*w**3 + 144*w**2 What is the second derivative of -192*n**3 + n**2 + 2410*n wrt n? -1152*n + 2 Find the second derivative of 162*o**3 + 6*o - 2. 972*o Find the third derivative of 4*v**4 - 14*v**3 + 5*v**2 + 9*v wrt v. 96*v - 84 Find the first derivative of -123*j**3*y - 37*j**3 - 4*j wrt y. -123*j**3 What is the second derivative of 1885*o**3 + 703*o wrt o? 11310*o Differentiate -8*k*p**3*z - 61*k*p**3 - 3*k*p*z - k*p + k*z + p**3 with respect to z. -8*k*p**3 - 3*k*p + k Differentiate 57*z + 2 with respect to z. 57 What is the third derivative of -j**6 - 925*j**3*m + j**2*m + 75*j*m - 13*j wrt j? -120*j**3 - 5550*m Find the third derivative of -r**5 + 64*r**4 + 219*r**2. -60*r**2 + 1536*r Differentiate -3*v**4 + 130*v**2 + 1299. -12*v**3 + 260*v What is the third derivative of i**3*q**4 + 33*i**3*q**2 + i**3 + 2*i*q**2 - 524*q**4 wrt q? 24*i**3*q - 12576*q Find the second derivative of 76*h**3 - 3*h + 40 wrt h. 456*h Find the second derivative of -109*o*s**3 + 2*o*s - 2*s**3 - 4*s + 122 wrt s. -654*o*s - 12*s Find the second derivative of -1333*k**2 - 917*k. -2666 What is the second derivative of 2*a*g**2*v**2 + a*g**2*v - a*g*v*z**2 + 12*a*v**2*z**2 - 114*a*v*z - 15*v**2*z**2 + 3*z**2 wrt v? 4*a*g**2 + 24*a*z**2 - 30*z**2 Find the third derivative of -2869*x**3 - 1308*x**2 + 1. -17214 Find the third derivative of 118*u**6 + 121*u**2. 14160*u**3 What is the second derivative of -242*t**2 - 30*t - 1 wrt t? -484 What is the third derivative of 3*i*q**3*t*x**2 - 3*i*q**2*t*x**3 + 13*i*q**2*x**3 + 3*i*q*t*x - q**3*t*x**3 + 38*q**3*t - 2*q**2*x**3 wrt q? 18*i*t*x**2 - 6*t*x**3 + 228*t What is the third derivative of -17*f**3*l**3 + 21*f**3*l + 17*f**3 + 26*f**2*l**4 + 2*f**2*l**2 wrt l? -102*f**3 + 624*f**2*l Differentiate -d*j*p - 82*d*j*s**2 + d*s**2 + j*p*s**2 - 8*p*s**2 - 12*p*s + p wrt j. -d*p - 82*d*s**2 + p*s**2 Find the second derivative of 1832*b**2 + 86*b - 2. 3664 Find the first derivative of 6*i**3 + 14*i**2*m + 10*m - 33 wrt i. 18*i**2 + 28*i*m What is the third derivative of 9*f*o**4*x - 8*f*o**4 - f*o**3 - 7*f*o*x - 2*f*x + 2*o**2*x wrt o? 216*f*o*x - 192*f*o - 6*f Find the third derivative of 173*d*z**3 - 8*d*z + z**2 - z wrt z. 1038*d Find the third derivative of 2360*j**3 + 16979*j**2 wrt j. 14160 What is the derivative of 20*a*t*u**2 + 8*a*t*u - 10*a*u**2 - 2*a - 9*u**2 wrt t? 20*a*u**2 + 8*a*u What is the third derivative of -6*s**6 - 5*s**5 - 30*s**2 - 1 wrt s? -720*s**3 - 300*s**2 What is the second derivative of 5*n*q**2*r**2 + 8*n*q**2*r*t - n*q**2*r - 8*n*q*r + 177*n*r**2*t + q**2*t + 2*r**2 wrt r? 10*n*q**2 + 354*n*t + 4 Find the second derivative of -3*a**5 - 5*a**4*v - a*v + 47*v wrt a. -60*a**3 - 60*a**2*v Find the first derivative of -53*s**2*v**2 - 5*s**2 + 3*s*v**2 + 394*v**2 + v - 3 wrt s. -106*s*v**2 - 10*s + 3*v**2 What is the third derivative of 40*b*d**3*g**2 + b*d**3*g + 3*b*d**2*g**2 - 3*b*d*g**2*x + b*d*g*x - d**3*g*x - 2*d*g**2*x wrt d? 240*b*g**2 + 6*b*g - 6*g*x What is the third derivative of -943*m**4 - 970*m**2 wrt m? -22632*m What is the third derivative of -11*b**5 - 32*b**4 - 27*b**2 - 16? -660*b**2 - 768*b Find the first derivative of 202*g**2*z**3 + 2*g*z + 5*z**3 - 77*z wrt g. 404*g*z**3 + 2*z Find the third derivative of m**4 + 1026*m**3 + m**2 + 2*m - 2880 wrt m. 24*m + 6156 What is the second derivative of -4*v**5 - 3*v**4*w - 8*v**2 + 2*v - 3*w + 21 wrt v? -80*v**3 - 36*v**2*w - 16 What is the third derivative of 333*z**5 - 4*z**3 + 1381*z**2 + 1 wrt z? 19980*z**2 - 24 What is the second derivative of -2*a**2*b**3 + a**2 + 1032*a*b + 7866*b**4 wrt b? -12*a**2*b + 94392*b**2 Find the second derivative of 6*j**2*o**3 + 5*j**2*o**2 + 9*j**2 - 3*o**3 + 5*o wrt o. 36*j**2*o + 10*j**2 - 18*o What is the first derivative of -296*a + 136? -296 Find the third derivative
{ "pile_set_name": "DM Mathematics" }
ative of -4 - n*o - 2*o**2 + 4 wrt o? -4 Let a(v) be the first derivative of -v**4/4 + 7*v**3/3 + 3. What is the third derivative of a(x) wrt x? -6 Let r(w) be the second derivative of w**7/504 - w**5/120 - w**4/6 - w. Let g(m) be the third derivative of r(m). What is the derivative of g(s) wrt s? 10*s Suppose 3*i - 3 - 3 = 0. Find the third derivative of 4*a**2 + 6*a**2 + 2*a**6 + a**6 - i*a**2 wrt a. 360*a**3 Let b(d) be the second derivative of -23*d**8/56 + 7*d**4/4 + 20*d. What is the third derivative of b(a) wrt a? -2760*a**3 Let o(g) = 17*g**3 + 13*g**2 + 5*g. Let n = 4 - 9. Let k(a) = -42*a**3 - 32*a**2 - 12*a. Let i(s) = n*k(s) - 12*o(s). Find the third derivative of i(h) wrt h. 36 Let a(x) = x**2 + 1. Let n(l) = -7*l**2 + 6. Let o(c) = 2*a(c) + n(c). What is the derivative of o(b) wrt b? -10*b Find the second derivative of c**2 - 2*c + 6*c**2 + c**2 wrt c. 16 What is the third derivative of -327*u**3 - 5*u**2 + 321*u**3 + 3 - 3 wrt u? -36 Let i(v) = -3 + 0 - 5*v - 3 - 8*v**2. Let l(a) = -15*a**2 - 6 - 5 - 5*a - 4*a. Let m(c) = -11*i(c) + 6*l(c). What is the second derivative of m(y) wrt y? -4 Let u = -6 - -8. Let f(x) = -3*x. Let t(r) = -r**2. Let n(j) = u*t(j) - f(j). Find the second derivative of n(q) wrt q. -4 Let j(p) = 20*p**4 + 43*p + 7. Let t(f) = -7*f**4 - 14*f - 2. Let i(q) = 2*j(q) + 7*t(q). What is the second derivative of i(c) wrt c? -108*c**2 Let p(j) be the second derivative of 8*j**4/3 - j**3/3 + 22*j**2 + 3*j + 8. Differentiate p(b) with respect to b. 64*b - 2 Let h(c) = -3*c**3 + 3*c + 1. Let w(u) = -u**4 - 7*u**3 + 7*u + 3. Let l(d) = -14*h(d) + 6*w(d). What is the derivative of l(q) wrt q? -24*q**3 Let r(z) = 4*z**3 + 2*z - 1. Let x be r(1). What is the second derivative of -4*q + 371 + 6*q**x - 371 wrt q? 120*q**3 Let v(o) = -5*o**2 + 2*o - 2. Let s(h) = h**3 - 16*h**2 + 7*h - 7. Let u = -10 - -16. Let m(l) = u*s(l) - 21*v(l). Find the third derivative of m(i) wrt i. 36 Suppose 2*v = 2*z + 8, 7*v - 20 = -2*z + 2*v. What is the third derivative of -5*i**2 + 3*i**6 + 2*i**2 + z*i**6 wrt i? 360*i**3 Let m(c) = 27*c**2 - 1. Let d be m(1). Find the third derivative of -26 + d - 8*l**2 + l**6 wrt l. 120*l**3 Let b = 18 - 17. Let d(p) = -2*p. Let y(x) = 2*x**2 - x**2 + 0*x**2. Let s(o) = b*d(o) - 2*y(o). Find the second derivative of s(g) wrt g. -4 Suppose 9 = 2*r + 3. Find the second derivative of -6*g + 3*g**3 + g**4 - 3*g**r wrt g. 12*g**2 Let d be 1/(-1) - (-4 + 1). What is the third derivative of -2*u**4 + 3*u**4 - u**2 - d*u**2 wrt u? 24*u What is the second derivative of t**4 - 40*t**3 - 17*t - 21*t**3 + 38*t**3 + t**4 wrt t? 24*t**2 - 138*t Find the second derivative of 7*j**2 + 7*j + 10*j**2 - 7*j**2 wrt j. 20 Suppose 5*b = b + 12. Find the first derivative of 0 - 4*c**b - 1 - 2 - 2 wrt c. -12*c**2 Suppose 12 = -3*p - 0, -5*v - 3*p - 2 = 0. Suppose -5*y + 9 = -3*k, -3*y - v*k = k + 9. Find the second derivative of 4*t + y*t - t - t**4 wrt t. -12*t**2 Differentiate -36*t**3 + 7 + 2 + 5*t**3 - 5 wrt t. -93*t**2 Let r(q) be the third derivative of -7*q**6/120 + q**4/12 + 7*q**2. Find the second derivative of r(t) wrt t. -42*t Find the second derivative of -12*a - 4*a + 4*a - 9*a**5 wrt a. -180*a**3 Let o(r) be the third derivative of r**6/120 - 7*r**3/3 + 13*r**2. Differentiate o(w) with respect to w. 3*w**2 Let l(u) be the second derivative of -u**4/6 - u**3 - 3*u**2 - 6*u. Let t(k) be the first derivative of l(k). Find the first derivative of t(z) wrt z. -4 Let q(c) = 3*c - 7. Let i(x) be the second derivative of 2*x**3/3 - 5*x**2 - 3*x. Let p(y) = 5*i(y) - 7*q(y). What is the derivative of p(w) wrt w? -1 Let p = 5 - 12. Let n(i) = i**3 + 6*i**2 - 9*i - 9. Let a be n(p). Find the second derivative of 0*x**a - 2*x - 2*x**5 + x**5 + 3*x**5 wrt x. 40*x**3 Let f = -3 + 6. Find the second derivative of f*u - u**3 + 2 - 4 + 2 wrt u. -6*u Let h(y) = y**2 - 3*y + 3. Let c be h(5). Let w = -9 + c. What is the derivative of 2*o**4 - 4 + 0*o**2 + 0*o**2 - 4*o**w wrt o? -8*o**3 Let o = 14 + -12. What is the derivative of -7*b**2 + 6 - 4 + 4 + 4*b**o wrt b? -6*b What is the third derivative of -35*r**2 + 5*r**2 + 32*r**3 - 21*r**3 wrt r? 66 Suppose 16 = 4*z - 4. Let b be 18/(z - 2)*1. What is the derivative of b - 2*h + 0*h + 1 - 5 wrt h? -2 What is the third derivative of -325 + 325 + 6*k**6 - 7*k**2 wrt k? 720*k**3 What is the second derivative of 0*a - 11*a + 6*a - 7*a**4 + 3*a wrt a? -84*a**2 Let p(q) be the third derivative of -q**2 + 0*q + 0*q**3 - 7/24*q**4 + 0*q**6 + 0*q**5 + 0 - 1/210*q**7. Find the second derivative of p(b) wrt b. -12*b**2 Let h(j) = 2*j**2 - 2*j - 3. Let d be h(3). Let z = 5 + -3. Find the first derivative of q**z - 2 - 9*q + 2*q**2 + d*q wrt q. 6*q Let f(q) = 1. Let z(u) = -1 - 3 - 1 + 2*u. Suppose d - 3*o = -3*d - 7, d = 4*o - 5. Let y(g) = d*z(g) - 3*f(g). Differentiate y(m) with respect to m. -2 What is the third derivative of 5*g**2 + 2*g**2 - 22*g**2 - 3*g**3 wrt g? -18 Let w(a) = -a**3 + 5*a**2 + 2*a - 6. Let l be w(5). Differentiate -3 + 0 + 0 - 3*k**4 + l with respect to k. -12*k**3 Let s(k) = 6*k**3 - 5*k**2 - 3*k + 3. Let n(r) = r**2 + r - 1. Let a(u) = 3*n(u) + s(u). What is the third derivative of a(t) wrt t? 36 Let z(r) = 5*r**2 - r - 1. Let b be z(-1). Suppose 2*g + 2 - b = -i, g - 2*i = 4. What is the third derivative of -t**4 + 2*t**4 - 5*t**2 + 3*t**g wrt t? 24*t Let p(x) = -2*x**3 + 6*x**2 + 3*x + 3. Let w(d) = 5*d**3 - 19*d**2 - 8*d - 8. Let l(s) = 8*p(s) + 3*w(s). What is the third derivative of l(g) wrt g? -6 Suppose 0 = -2*u - 0*u. Differentiate -2*t**3 - 4 + u*t**3 - 1 + 2 with respect to t. -6*t**2 Suppose 3*w - 24 = -w + 4*i, -5*i = -2*w + 24. Suppose -w*z + 0*z - s = -6, 4*z = 4*s. What is the first derivative of -2 + 3*g**4 + 2 + z - 3 wrt g? 12*g**3 Let j(h) = -16*h**3 + 11*h**2 + 45*h + 11. Let q(i) = -8*i**3 + 6*i**2 + 23*i + 6. Let p(a) = 6*j(a) - 11*q(a). Find the second derivative of p(y) wrt y. -48*y Let l(b) = -12*b**4 + 7*b**3 + 34*b**2 - 7*b. Let f(d) = -8*d**4 + 5*d**3 + 23*d**2 - 5*d. Let y(a) = -7*f(a) + 5*l(a). Find the third derivative of y(r) wrt r. -96*r Let d(m) be the first derivative of 7*m**4/4 + 11*m**3/3 + 12. Find the third derivative of d(n) wrt n. 42 What is the derivative of -22*p**4 + 21 + 0 + 9 wrt p? -88*p**3 What is the derivative of -36 + g**2 + 0*g + 0*g + 42 wrt g? 2*g Let i(o) = -52*o**2 - 32*o - 136. Let d(l) = 13*l - 7. Let s be d(3). Let h(k) = -8*k**2 - 5*k - 21. Let y(x) = s*h(x) - 5*i(x). Differentiate y(j) wrt j. 8*j Let h(r) be the first derivative of -7*r**2 + 12*r + 11. Find the first derivative of h(c) wrt c. -14 Let b = 0 - -5. What is the derivative of -b*c + 3*c - 2 + c**4 + 2*c wrt c? 4*c**3 Let o(a) = 12*a**3 + 7*a**2 - 4*a. Let h(q) = -12*q**3 - 6*q**2 + 5*q. Let b(i) = -4*h(i) - 5*o(i). Find the third derivative of b(v) wrt v. -72 Let r(a) = -3*a**3 + a. Let w be r(-1). Suppose -2*p - 3*q = -2 - w, 3*p - 6 = 2*q. Differentiate 1 - 3*k + k - p wrt k. -2 Let v(h) be the second derivative of 2/21*h**7 + 0*h**5 - 1/2*h**3 - 4*h + 0*h**6 + 0*h**4 + 0*h**2 + 0. What is the second derivative of v(x) wrt x? 80*x**3 Let s(m) be the third derivative of 0*m**3 + 1/336*m**8 + 0 + 0*m**6 + 3*m**2 + 0*m**7 + 0*m**5 - 1/6*m**4 + 0*m. What is the second derivative of s(v) wrt v? 20*v**3 Let x(b) be the second derivative of -b + 0 - 1/56*b**8 + 0*b**2 + 0*b**7 + 0*b**3 - 5/12*b**4 + 0*b**5 + 0*b**6. What is the third derivative of x(q) wrt q? -120*q**3 Let b = 59 + -6. Find the second derivative of -53 - 3*u**4 - 3*u + b wrt u. -36*u**2 Let z(g) be the first derivative of -5*g**6/2 - 23*g**2/2 + 16. What is the second derivative of z(k) wrt k? -300*k**3 Let p(l) = 395*l**3 - 330*l**2 - 45*l - 45. Let y(t) = -18*t**3 + 15*t**2 + 2*t + 2. Let u(n) = 2*p(n) + 45*y(n). Find the third derivative of u(r) wrt r. -120 Let f(k) = -k**2 + k + 2. Let x(h) = -5*h**2 - 2*h - 10. Let m(b) = 3*f(b) - x(b). Differentiate m(y) with respect to y. 4*y + 5 Let h(o) be the first derivative of -o**3 + 2*o**2 - 3. What is the second derivative of h(v) wrt v? -6 Let k(g) = g**2 - 3*g. Let p be k(4). Let f be 0/(5/(10/p)). Find the first derivative of 3*i - 1 + f - 4*i wrt i. -1 Suppose -o + 13 = 6. Find the second derivative of o*x**2 - 2*x - 6*x**2 + 7*
{ "pile_set_name": "DM Mathematics" }
-15 Let h(n) = n**3 - 23*n**2 - 110*n + 68. Determine h(27). 14 Let n(d) = -d**2 + 34*d - 31. Give n(26). 177 Let d(p) = -18*p + 262. Give d(16). -26 Let b(q) = 24*q**3 - 68*q**2 - 44*q + 108. Determine b(3). 12 Let p(c) = -82*c + 4044. Determine p(49). 26 Let x(y) = 763*y**2 - 6863*y - 2. Determine x(9). 34 Let o(w) = -w**2 + 72*w - 6. Give o(0). -6 Let h(q) = 224*q**2 - 2914*q + 8. What is h(13)? -18 Let l(r) = 100*r - 550. Calculate l(5). -50 Let z(k) = 107*k + 271. Determine z(-4). -157 Let h(w) = -71*w + 1691. Determine h(23). 58 Let n(z) = 4*z**3 - 5*z**2 - 9*z - 6. What is n(-3)? -132 Let z(p) = -p**3 - 4*p**2 + 28*p + 24. Calculate z(-7). -25 Let n(q) = 50*q - 463. What is n(13)? 187 Let h(u) = 2*u**2 - 63*u + 690. What is h(16)? 194 Let c(a) = -14*a - 3. What is c(3)? -45 Let o(k) = k**3 - 13*k**2 + 82*k - 130. Determine o(2). -10 Let g(u) = -13*u**2 + 2*u - 37. What is g(4)? -237 Let c(f) = 9*f - 137. What is c(29)? 124 Let a(g) = 103*g + 143. Calculate a(-1). 40 Let b(i) = 4*i**3 - 2*i**2 - 4*i + 2. Calculate b(3). 80 Let g(q) = -q**3 - 7*q**2 + 17*q + 111. Determine g(-8). 39 Let y(z) = 23*z**2 + 97*z + 11. Give y(-4). -9 Let o(x) = -3*x**2 - 236*x - 1246. What is o(-73)? -5 Let s(o) = -o**3 + 29*o**2 - 67*o - 32. Calculate s(27). -383 Let c(m) = 4*m**2 - 52*m - 110. Calculate c(-2). 10 Let z(g) = 10*g + 597. Give z(-58). 17 Let q(w) = 8*w**2 - 11*w - 136. Calculate q(5). 9 Let n(x) = x**3 + x**2 - 80*x - 18. Determine n(0). -18 Let v(g) = -8*g + 77. What is v(14)? -35 Let o(i) = i**3 - 16*i**2 - 24*i - 37. Calculate o(18). 179 Let s(j) = -2391*j**2 + 7176*j + 5. Calculate s(3). 14 Let n(k) = -9*k**3 - 98*k**2 - 14*k - 283. Calculate n(-11). -8 Let p(c) = 208*c - 4. Give p(0). -4 Let f(v) = 32*v + 82. Determine f(1). 114 Let c(t) = t**3 + 92*t**2 + t + 81. Determine c(-92). -11 Let b(q) = 31*q**2 - 191*q - 3. What is b(6)? -33 Let o(u) = 2*u**3 - 3*u**2 + 125*u - 78. Calculate o(0). -78 Let r(k) = 441*k - 6233. Give r(14). -59 Let k(n) = 78*n**3 + 6*n**2 + 10*n + 8. Calculate k(-2). -612 Let l(i) = -2*i**3 - 259*i**2 + 403*i + 1319. What is l(-131)? 9 Let u(k) = 3*k**3 - 12*k**2 - 73*k + 85. Determine u(7). 15 Let f(z) = 48*z + 256. What is f(0)? 256 Let d(n) = -n**3 + 8*n**2 + 25*n + 3. Calculate d(11). -85 Let s(o) = 687*o - 6174. What is s(9)? 9 Let d(i) = 16*i - 141. Give d(15). 99 Let s(k) = -k**3 + 7*k**2 + 50*k + 19. What is s(-4)? -5 Let o(u) = 36*u - 44. Give o(4). 100 Let w(s) = 12*s - 256. What is w(21)? -4 Let r(c) = -2*c**3 - 410*c**2 - 1605*c + 612. Calculate r(-201). 9 Let y(f) = f**2 - 38*f - 251. Give y(-7). 64 Let s(p) = -10*p**2 - 222*p - 39. Determine s(-22). 5 Let t(j) = j**3 + 21*j**2 + 6*j - 267. Calculate t(-20). 13 Let a(v) = -10*v - 39. Determine a(-13). 91 Let d(i) = i**3 - 15*i**2 - 78*i + 11. Give d(-4). 19 Let v(r) = -r**3 - 32*r**2 - 79*r - 566. Give v(-30). 4 Let y(n) = -17*n + 71. Calculate y(1). 54 Let t(r) = 3*r**3 - 395*r**2 + 259*r + 182. What is t(131)? -211 Let s(d) = 2*d**2 - 54*d + 333. Give s(11). -19 Let l(y) = 15*y - 6. Calculate l(13). 189 Let m(r) = -4*r**2 + 315*r + 2188. What is m(-7)? -213 Let n(w) = -46*w**2 + 215*w + 4. Calculate n(4). 128 Let q(i) = -112*i - 1462. Determine q(-13). -6 Let a(w) = -w**2 + 20*w + 108. What is a(14)? 192 Let d(h) = -h**3 - 32*h**2 - 34*h - 123. Give d(-31). -30 Let z(f) = -f**3 + 5*f**2 + 4*f - 14. Determine z(6). -26 Let t(h) = -46*h**2 + 13*h + 3. Calculate t(1). -30 Let f(j) = j**3 + 4*j**2 - 27*j + 75. Determine f(5). 165 Let f(z) = 7*z**3 - 230*z**2 - 42*z + 284. Give f(33). -13 Let r(h) = -278*h + 2659. Determine r(10). -121 Let c(b) = b**3 + 9*b**2 - 241*b + 194. Calculate c(-21). -37 Let u(n) = 2*n**3 - 422*n**2 + 2060*n + 7. Give u(206). 7 Let r(a) = 3*a**2 + 42*a - 137. Determine r(3). 16 Let w(v) = -775*v - 12376. What is w(-16)? 24 Let g(n) = 5*n**2 - 28*n + 103. Give g(4). 71 Let l(r) = -r**3 - 15*r**2 + 30*r + 7. Give l(-17). 75 Let u(k) = -9*k**2 + 182*k - 208. Calculate u(19). 1 Let i(g) = -2*g**3 + 49*g**2 - 92*g + 527. Calculate i(23). -2 Let c(m) = m**3 - 4*m**2 - 10*m + 17. Determine c(4). -23 Let n(p) = 2*p**3 + 18*p**2 + 30*p - 2. What is n(-7)? -16 Let h(s) = -1492*s - 10527. What is h(-7)? -83 Let r(o) = -o**3 - 15*o**2 - 79*o - 372. What is r(-11)? 13 Let t(g) = 12*g - 148. What is t(-4)? -196 Let q(f) = 3*f**3 + 10*f**2 - 5*f - 15. Calculate q(-4). -27 Let l(o) = -22*o + 412. Calculate l(19). -6 Let f(a) = -a**3 - 90*a**2 + 178*a - 563. Calculate f(-92). -11 Let k(z) = -17*z**3 + 6*z**2 - 11*z + 7. Determine k(1). -15 Let i(k) = -76*k - 5093. Calculate i(-67). -1 Let b(t) = -8*t + 28. Calculate b(2). 12 Let a(m) = -115*m - 6. What is a(2)? -236 Let l(i) = -2*i**3 - 7*i**2 - 22*i - 18. What is l(-5)? 167 Let u(n) = 103*n - 597. Calculate u(6). 21 Let f(i) = 20*i + 223. Determine f(-12). -17 Let i(a) = -a**2 - 94*a - 2211. Give i(-49). -6 Let b(c) = -c**3 - 19*c**2 - 34*c + 7. Calculate b(-17). 7 Let t(z) = z**3 - 6*z**2 - 31*z + 165. What is t(5)? -15 Let s(t) = -446*t + 3104. Determine s(7). -18 Let y(v) = 3*v**2 - 430*v - 1312. What is y(-3)? 5 Let o(b) = 27*b - 1227. Give o(49). 96 Let q(x) = -2*x**2 - 195*x + 1343. What is q(-104)? -9 Let j(k) = -k**3 - 10*k**2 + 199*k + 1. Calculate j(10). -9 Let s(g) = 49*g**3 + 4*g**2 + 23*g - 37. Give s(2). 417 Let s(h) = -76*h + 854. Give s(11). 18 Let a(x) = 2*x**3 + 72*x**2 - 76*x - 216. Give a(-37). -142 Let b(i) = -2*i**2 + 39*i + 55. What is b(11)? 242 Let u(c) = 11*c**2 - 61*c + 32. Determine u(9). 374 Let o(j) = 21*j + 12. Give o(-6). -114 Let b(h) = 4*h**2 - 190*h - 1794. Determine b(-8). -18 Let v(r) = -8*r**3 - 17*r**2 + 6. Give v(-2). 2 Let x(c) = -c**2 - 65*c + 1342. Give x(-76). 506 Let s(a) = -78*a + 2178. Determine s(28). -6 Let g(o) = 5*o**3 - 36*o**2 - 50*o + 406. Calculate g(7). 7 Let d(b) = 3*b**2 - 1806*b + 3606. Determine d(2). 6 Let c(m) = m**2 + 2175*m - 6528. Determine c(3). 6 Let d(u) = -5*u**3 + 430*u**2 - u + 88. Determine d(86). 2 Let i(u) = -61*u + 2809. Calculate i(46). 3 Let m(x) = -x**3 - 3*x**2 - 29*x - 125. What is m(-4)? 7 Let v(z) = -z**3 - 3*z**2 + z - 9. What is v(4)? -117 Let u(t) = 5*t**2 - 133*t + 721. Calculate u(19). -1 Let l(k) = -8*k - 15. Determine l(21). -183 Let k(a) = 26*a - 614. Determine k(23). -16 Let l(r) = -r**3 - 58*r**2 + 58*r - 63. Calculate l(-59). -4 Let v(h) = 147*h - 12202. Give v(83). -1 Let q(j) = -116*j - 3596. What is q(-31)? 0 Let i(a) = -1510*a + 55892. Calculate i(37). 22 Let n(m) = 3*m**3 - 80*m**2 + 53*m - 35. Give n(26). -9 Let p(a) = -23832*a - 166825. Calculate p(-7). -1 Let h(o) = 1077*o + 4282. Determine h(-4). -26 Let k(r) = -565*r - 14142. Determine k(-25). -17 Let p(n) = 2*n**2 - 402*n + 9. Calculate p(201). 9 Let k(o) = o**2 - 7*o - 61. What is k(-12)? 167 Let x(h) = -h**3 - 9*h**2 - 23*h - 10. Calculate x(-7). 53 Let y(l) = 2*l**2 - 5*l - 138. Determine y(10). 12 Let h(m) = -m**2 + 9*m - 2. Give h(-7). -114 Let v(p) = 374*p + 1139. Determine v(-3). 17 Let i(o) = -o**2 + 15*o + 31. Give i(20). -69 Let p(g) = -g**3 - 10*g**2 - 17*g - 36. What is p(-7)? -64 Let n(k) = -169*k + 5024. Determine n(30). -46 Let i(k) = 3*k**3 + 111*k**2 + 3*k - 36. Give i(-37). -147 Let z(g) = g**3 - 30*g**2 + 45*g + 106. Calculate z(28). -202 Let b(r) = -452*r + 14400. Give b(32). -64 Let p(f) = -532*f + 1099. Determine p(2). 35 Let k(t) = 16*t + 303. Give k(-18). 15 Let n(w) = -w**2 + 21*w + 122. What is n(18)? 176 Let n(v) = -v**2 + 303*v + 21348. What is n(362)? -10 Let c(o) = -78*o + 1093. Calculate c(14). 1 Let m(r) = 5*r**2 - 191*r - 612. Give m(-3). 6 Let r(k) = -k**3 - 18*k**2 + 18*k + 205. Calculate r(-19). 224 Let m(f) = 17*f**3 - 542*f**2 - 89*f + 799. Calculate m(32). -1 Let g(i) = -i**3 + 60*i**2 - 885*i - 79. Calculate g(33). 119 Let m(t) = t**2 + 19*t + 66. Give m(-15). 6 Let h(q) = -q**3 - 20*q**2 - 41*q - 51. Give h(-16). -419 Let p(q) = 268*q + 2664. Give p(-10). -16 Let c(q) = 74*q - 161. Give c(2). -13 Let b(v) = 293*v - 19. What is b(0)? -19 Let b(i) = -1310*i - 11791. Give b(-9). -1 Let p(t) = -3*t**3 + t**2 + 23*t - 32. Give p(4). -116 Let z(s) = -s**3 + 13*s**2 + 61*s - 485. Give z(5). 20 Let i(v) = 101*v - 444. What is i(5)? 61 Let d(f) = -2*f**2 + 4*f - 97. What is d(9)? -223 Let j(i) = 18*i**2 + 20
{ "pile_set_name": "DM Mathematics" }
of 26/9 and (-91)/4 + (-18)/24. 18 Suppose 17*j = 515 + 165. What is the smallest common multiple of j and 8? 40 Let b = -13243 + 238433/18. Find the common denominator of b and (-268)/(-88) - 4 - -1. 198 Let h = 5/6 + -67/66. Let a = -801/2 - -412. Let s = a + 33. What is the common denominator of s and h? 22 Suppose -6*t = -4*t + 4. Find the common denominator of 65/9 and 198/(-8)*t/(-5). 90 Let w be (2/(-164))/(208/(-36196)). Let h = 3/1066 + w. What is the common denominator of 63/5 and h? 40 Suppose 0 = 5*r - 25, -4*h - 3*r = -13 - 38. What is the smallest common multiple of h and 28? 252 Let z = 20 + -10. Calculate the lowest common multiple of 8 and z. 40 Suppose 5*d + 16 = 5*a - 9, -4*d + 15 = 3*a. Let l = 9 - a. Calculate the least common multiple of -1*-2*44/8 and l. 44 Let j(o) = 19*o - 90. Calculate the least common multiple of j(5) and (-5)/(5/(-2)) - -2. 20 Let f be 1 - (-1 + (-3 - -3)). Let a be 18*f/(1520/(-262)). Let z = -230/19 - a. Calculate the common denominator of z and -91/2. 10 Suppose 3*d = -d + 40. Calculate the lowest common multiple of d and 8. 40 What is the smallest common multiple of 2 and ((-4)/3)/(3/((-495)/10))? 22 What is the common denominator of 41/2 and (-68)/(-72) - 2/(-6)? 18 Let s = -5 - -7. Suppose -5*m - 4*v = -58, 3*m - s*v + 34 = 6*m. Suppose 2*r + 16 = 6*r. Calculate the least common multiple of r and m. 20 Let z(f) = -f**2 + 30. Let n be z(0). Suppose -7*d = -2*d - n. What is the least common multiple of 45/d - 2/(-4) and 4? 8 Let c = 4851/20 - 1144/5. Let h be (-3)/(1/((-8)/6)). Find the common denominator of c and (5/h)/(2/15). 8 Suppose -3*a + s - 2*s = -17, -13 = -2*a + s. Suppose 2*p + 24 = a*p. What is the lowest common multiple of 2 and p? 6 Let t(s) = -2*s - 1. Let a be t(1). Suppose -c - 20 = -5*c. What is the lowest common multiple of c and ((-9)/a)/((-15)/(-20))? 20 Calculate the smallest common multiple of ((-16)/(-20))/((-7)/((-700)/8)) and 4. 20 What is the common denominator of (3 + (-29)/18)*-15 and -149/6? 6 Let g(r) = 316*r. Let k be g(2). Let f = k + -2497/4. Let u = 79 - 45. Calculate the common denominator of f and u. 4 Let p = -43 - 41. Let g = 3094 + -34076/11. Calculate the common denominator of g and (-1894)/p + (-2)/(-7). 66 Let x(n) = 2*n + 4. Let y(i) = i - 2. Let k be y(6). Calculate the lowest common multiple of x(k) and 8. 24 Let q = -42777/10 - -4287. Find the common denominator of ((-7)/(-6))/(4/(-36)) and q. 10 Let o be ((-2)/(-2))/((-9)/27). Let v(u) = u**2 + u. Calculate the smallest common multiple of v(o) and 16. 48 Suppose 4*a + 4*s - 11 - 17 = 0, 5*s + 37 = 4*a. Suppose -2*l = -4*d - 24, -5*d - a - 15 = -2*l. Calculate the least common multiple of 10 and l. 70 Let z = -558 + 838. Let g = z - 571/2. Let w = -1449 - -4301/3. Find the common denominator of w and g. 6 Suppose -2*v + 6 = 4*d, 5*v = -5*d + 4*v + 15. Let i = d + 0. Suppose 3*y - i*y + 6 = 0. Calculate the smallest common multiple of y and 8. 24 Let i = -1913/8 + 16813/72. Let j be 23/27*(16 - 5). Let b = j + -5743/270. Calculate the common denominator of i and b. 90 Let o(u) = -u**2 - 5*u. Let f be o(-4). Let s(c) = c**3 - 3*c**2 + 4. Calculate the least common multiple of 4 and s(f). 20 Let s = 632/23 - 12777/506. Find the common denominator of ((-60)/(-2))/((-8)/(-6)) and s. 22 Suppose -5*j = 2*k - 88, 3*k + 4 = -j + 2*j. Calculate the lowest common multiple of j and 32. 32 Let z = 18 - 16. Find the common denominator of 1/(-4)*z/(-5) and -34/5. 10 Let m = 12881/2142 - -5/119. Find the common denominator of m and 139/12. 36 Suppose 0*b - b + 2 = 0. Suppose -b*i - 77 = -l, -2*i - 3*l - 35 = 22. Calculate the common denominator of -11/4 and (0 - i/(-15)) + -2. 20 Let f = 117740 - 586073/5. Let k = 531 - f. Calculate the common denominator of -27 and k. 5 Suppose -2*o = 5*b - 6736, -2*o - 2*b - 3359 = -3*o. Let p = o + -53781/16. Calculate the common denominator of p and 5/2. 16 Let i = 32 + -22. Find the common denominator of -83/8 and (-7)/20 + 2/i. 40 Let f = 95847/12568 + -2/1571. Let h = -13/16 - -97/80. What is the common denominator of h and f? 40 Let r(t) = -2*t. What is the lowest common multiple of r(-3) and 2? 6 Let b = -19 + 38. Calculate the smallest common multiple of b and 1. 19 Suppose -16 = -3*f - w + 11, f = -w + 9. What is the least common multiple of 10 and f? 90 Let f = -24/7 - -685/14. Calculate the common denominator of -57/22 and f. 22 Let f = 1841 + 3461. Let p = f - 1914. Let d = p - 20207/6. What is the common denominator of d and -15/8? 24 Suppose 13 = 3*i - 5*l, -5*i + 5*l + 25 = -0*l. Let h = 6175 + -49327/8. Calculate the common denominator of (-225)/(-140)*i/(-3) and h. 56 Calculate the smallest common multiple of 3 - (-20)/(-4) - -8 and 18. 18 Let d = 4990 + -20055/4. Let l = 35897/6 - 6008. Find the common denominator of l and d. 12 Let f = -5 + 1. Let g(y) = -y**3 - 2*y**2 + 2*y - 4. What is the lowest common multiple of 16 and g(f)? 80 Let j be (5*-114)/(84/(-15)). Let k = -213/2 + j. What is the common denominator of -25/4 and k? 28 Let m(r) = r**2 - 9*r - 6. Let i be m(9). Let q = 590/19 - 4585/114. Calculate the common denominator of q and (-33)/(-6)*i/(-7). 42 Let h(c) = c + 1. Let z(k) = -k**2 - 8*k - 4. Let i be (-55)/10 + (-3)/6. What is the lowest common multiple of z(i) and h(7)? 8 Let x = 16317/10 + -8203/5. Let i = -1468 - -8783/6. Calculate the common denominator of x and i. 30 Suppose -8 = -l - o, 4*l + 5*o - 38 = -1. Suppose 2*a + l*a = -5*s + 15, 0 = 5*a - 3*s - 39. Calculate the lowest common multiple of 8 and a. 24 Suppose -3 = -4*b - 7. What is the common denominator of b/(-12)*516/(-8) and 2/5 - (-219)/40? 8 Let h = 2/2363 - 103978/7089. Find the common denominator of h and -101/6. 6 Calculate the common denominator of ((-18)/(-60))/3*395/4 and (0 - -38)*(-24)/352. 88 Let p = 29 + 87. Let t = -7270 + 130799/18. Find the common denominator of (p/(-12))/(14/(-9)) and t. 126 Find the common denominator of (-4)/(-10) + 419/(-60) and -2*(4 + (-132)/(-64)). 24 Let n be (-6)/3*(-66)/(-4). Let p = -15 - n. What is the smallest common multiple of p and 4? 36 Let v = -37823/9 + 4207. What is the common denominator of -4/19 and v? 171 Let h(v) = -v**3 + 4*v**2 + v - 1. Let b be h(2). Let q = b - 3. Suppose 185 = -x + q*x. Calculate the common denominator of 49/2 and x. 2 Let c(v) = -3*v**3. Let q be c(1). Calculate the common denominator of ((-6)/(-81))/(8/(-894)) and q/(-9) - 299/42. 126 Let x(p) = -42*p. Let i be x(-1). Let f be (1850/i)/((-6)/(-549)). Let y = 4032 - f. Calculate the common denominator of -47/2 and y. 14 Let c be 0/(-1) - 271 - 2. What is the common denominator of c/(-12) + -1 + -1 and -9/11? 44 Let u = 20 - 14. Let o = 19 - 9. Calculate the least common multiple of o and (2/u + 3)*6. 20 Suppose 4*t - 5*t + 4 = 0. Suppose 14 = 6*c - 16. Suppose c*h + 15 = 3*f - 3, -3*h = 4*f - 24. Calculate the least common multiple of f and t. 12 Let b = 1441/4 + -9967/28. What is the common denominator of b and (45/(-9))/(4/6)? 14 Suppose 46 = 4*w + u, -w = 5*u - 4 + 2. Suppose 2*f - 3*h + 1 = f, 4*h + w = 4*f. Calculate the lowest common multiple of 3 and f. 15 Let n = 493695 - 4463614/9. Let k = -2259 - n. Calculate the common denominator of k and 1/2 + 75/4. 36 Let p = 10361/6 + -1719. What is the common denominator of 0/2 - 73/(-9) and p? 18 Find the common denominator of -73/27 and (-51)/(-9) + 5/20. 108 Suppose -c + 21 = -o, c = -3*c + 5*o + 83. What is the least common multiple of 2 and c? 22 Let l = 12 + -7. What is the common denominator of 2/l*22/4 and -59/8? 40 Let q = -1 - -5. Suppose -5 = -3*j + 2*j - 2*x, -3*j + 45 = -q*x. Calculate the least common multiple of 9 and j. 99 Let a = 12620 - 8962. Let h = -51189/14 + a. What is the common denominator of h and (-2)/4 - 100/28? 14 Let t(o) = 18*o. Let v be t(-1). Let x = 4340 + -39010/9. What is the common denominator of x and (3/(-4))/(v/436)? 18 Let r = 20/899 - -41973/12586. Calculate the common denominator of -43/2 and r. 14 Suppose 5*r + k - 85 = 0, r - 5*k = -4*r + 115. Calculate the smallest common multiple of 6 and r. 18 Let h be 4/30 - (-43)/15. Suppose -u - u - 4 = -2*n, 4*n + h*u - 43 = 0. What is the smallest common multiple of n and 8? 56 Let x = 4279/128 + 9/128. Suppose 4
{ "pile_set_name": "DM Mathematics" }
e number? False Is 443489 composite? False Is 687277 prime? True Is 10007 a prime number? True Is 305157 a prime number? False Is 11311 prime? True Is 6805 prime? False Is 283147 prime? False Is 252313 a prime number? True Is 169967 composite? True Is 13529 composite? True Is 404483 composite? False Is 61211 prime? True Is 65749 prime? False Is 566395 a composite number? True Is 287135 prime? False Is 124447 prime? True Is 195341 prime? True Is 60217 a composite number? False Is 349099 a prime number? True Is 261959 a prime number? True Is 51577 a prime number? True Is 44351 a prime number? True Is 274061 composite? False Is 110119 composite? False Is 4847 a composite number? True Is 219359 composite? True Is 143681 a composite number? True Is 1907 a composite number? False Is 221873 composite? False Is 744569 prime? False Is 23093 a composite number? True Is 21313 composite? False Is 23993 prime? True Is 400409 prime? True Is 235769 composite? True Is 32909 composite? 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False Is 705001 a composite number? True Is 1680743 composite? False Is 321 a composite number? True Is 877 a prime number? True Is 5297 composite? False Is 235307 a composite number? False Is 109357 a composite number? False Is 76871 composite? False Is 12039 a composite number? True Is 1025989 composite? True Is 55597 a composite number? True Is 54521 prime? True Is 277661 composite? True Is 11299 prime? True Is 671 a composite number? True Is 89227 a prime number? True Is 143137 a prime number? True Is 3449 prime? True Is 8285 prime? False Is 8563 prime? True Is 133481 prime? True Is 151597 composite? False Is 31817 composite? False Is 41291 composite? True Is 745 composite? True Is 4663 prime? True Is 580655 prime? False Is 3705157 a prime number? False Is 18035 prime? False Is 41281 a prime number? True Is 142521 composite? True Is 15101 prime? True Is 6883 a prime number? True Is 10037 a composite number? False Is 29593 a composite number? True Is 7817 a composite number? False Is 396213 a composite number? True Is 21381 prime? False Is 3769229 a composite number? False Is 29851 a composite number? False Is 9773 prime? False Is 25562 prime? False Is 16781 prime? False Is 111593 a composite number? False Is 7403 composite? True Is 51599 a prime number? True Is 6029 a prime number? True Is 26669 composite? False Is 3791 composite? True Is 2357 a composite number? False Is 16867 a composite number? True Is 8353 a prime number? True Is 39499 a composite number? False Is 43867 composite? False Is 143011 composite? True Is 476891 composite? False Is 218249 prime? True Is 556373 composite? False Is 41893 prime? True Is 68443 a prime number? True Is 86753 prime? True Is 21433 prime? True Is 2457569 a prime number? True Is 26735 a prime number? False Is 8903 a prime number? False Is 8999 composite? False Is 6041 composite? True Is 213713 a prime number? True Is 317819 prime? False Is 46231 a composite number? True Is 421249 a composite number? 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{ "pile_set_name": "DM Mathematics" }
with respect to r. 33 Let k(p) = 5*p**3 + 8*p. Let w(o) = 26*o**3 + 40*o. Let v(d) = 11*k(d) - 2*w(d). Find the second derivative of v(b) wrt b. 18*b Let v(j) be the third derivative of j**8/1680 + j**4/24 + j**3/6 - 2*j**2. Let p(q) be the first derivative of v(q). Differentiate p(c) with respect to c. 4*c**3 Let u(t) be the third derivative of -t**6/90 - t**5/60 - t**3/2 - 2*t**2. Let s(w) be the first derivative of u(w). What is the second derivative of s(m) wrt m? -8 Suppose -5 = -4*f - 3*m, 0*m - 5 = -f + 3*m. What is the first derivative of -2*z + z + f*z - 1 wrt z? 1 What is the second derivative of -71*c**4 - 2*c + 12*c + 77*c**4 wrt c? 72*c**2 Let i(o) be the second derivative of o**5/10 - 23*o**4/6 + 44*o. What is the third derivative of i(c) wrt c? 12 Let h(c) = -13*c**2. Let f(r) = 14*r**2 + 1. Let o(p) = 3*f(p) + 4*h(p). What is the derivative of o(i) wrt i? -20*i Let r(i) be the second derivative of -19*i**3/6 - 6*i**2 - 17*i. Find the first derivative of r(a) wrt a. -19 Suppose -17 = -4*n - 5. Suppose n*d = -d. What is the second derivative of 3*y**2 + d*y**2 - 5*y**2 - 3*y wrt y? -4 Let g(d) be the first derivative of -d**8/840 - d**4/12 + d**3 + 2. Let o(h) be the third derivative of g(h). Find the first derivative of o(j) wrt j. -8*j**3 Find the third derivative of -12*s**2 - 8*s**5 - 12*s**2 + 22*s**2 - 7*s**2 wrt s. -480*s**2 Let n(y) be the third derivative of y**9/21 - 29*y**5/60 - 19*y**2. What is the third derivative of n(a) wrt a? 2880*a**3 What is the derivative of q**2 + 21*q**2 - 4*q**2 + 1 wrt q? 36*q Let p(c) = -c + 8. Let s be p(6). Suppose -z = -s - 1. Find the second derivative of -4*o - 3*o**2 + z*o**2 + 3*o + 2*o**2 wrt o. 4 Let w(q) = q**2 + q - 1. Let h(t) = 5*t**2 - 9*t + 20. Let r(u) = 2*h(u) + 18*w(u). Differentiate r(i) with respect to i. 56*i Find the first derivative of -38*f - 26*f + 105*f - 27*f - 13 wrt f. 14 Let d(b) be the third derivative of 3*b**8/56 + b**5/15 - 14*b**2. What is the third derivative of d(w) wrt w? 1080*w**2 Let w(q) = 8*q - 5. Let m(z) be the third derivative of z**4/24 - z**3/6 - z**2. Let h(p) = 4*m(p) - w(p). Find the first derivative of h(s) wrt s. -4 What is the third derivative of 11*m**6 - 17*m**6 + 16*m**6 - 10*m**2 wrt m? 1200*m**3 Suppose -38*l + 33*l = -15. Let n(f) be the second derivative of 2*f + 0 - 3/2*f**2 - 1/2*f**l. Find the first derivative of n(p) wrt p. -3 Let n = -10 - -13. Find the third derivative of 2*l**2 - n*l**2 - 5*l**6 + 0*l**2 wrt l. -600*l**3 What is the third derivative of 7*o**3 + 31*o**2 - 6*o**4 - 9*o**3 + 2*o**3 wrt o? -144*o Let z(r) = -13*r + 12. Let i be (-12)/((-2)/(-2 + 3)). Let a(h) = 14*h - 13. Let m(b) = i*a(b) + 7*z(b). Find the first derivative of m(j) wrt j. -7 Let a(z) = z**3 + 3*z**2 - 6*z - 1. Let h be a(-4). Let f = h + -4. Find the second derivative of -f*q**4 - 20*q + 21*q + 2*q**4 wrt q. -12*q**2 Let j(h) be the second derivative of -7*h**6/120 + h**4/4 - h**2/2 + 6*h. Let s(w) be the first derivative of j(w). What is the second derivative of s(g) wrt g? -42*g Let r be 45/12 + (-2)/(-8). Suppose 2 = r*q - 3*q. Find the first derivative of 2 - a**q + 3*a**2 - 5*a**2 wrt a. -6*a Let v = -2 + 10. Let j(f) = f**2 - 7*f - 6. Let u be j(v). What is the third derivative of 2*o**u - 4 + 4 + o**6 wrt o? 120*o**3 Let s(t) be the first derivative of -t**7/210 - t**5/20 + 3*t**2/2 - 1. Let f(u) be the second derivative of s(u). Find the third derivative of f(c) wrt c. -24*c Suppose 3*w - 17 = 2*v - 0*v, 0 = 5*v + 5. What is the first derivative of 3*g**3 - 2*g**2 + 2*g**2 - w + 5*g**3 wrt g? 24*g**2 Find the third derivative of -40*h - 7*h**2 + 1 - h**4 + 40*h - 4*h**5 wrt h. -240*h**2 - 24*h Let f(a) = 33 - 34 + a**5 - a**4 + a**2 + 0*a**5. Let m(u) = 15*u**5 - 5*u**4 + 3*u**2 - 5. Let w(g) = -5*f(g) + m(g). Find the third derivative of w(c) wrt c. 600*c**2 What is the first derivative of 49*k**4 + 55 - 1 + 16 wrt k? 196*k**3 Let y(b) = 4*b**3 + 7. Let s(w) = -8*w**3 - 14. Let q(v) = -3*s(v) - 7*y(v). Find the first derivative of q(f) wrt f. -12*f**2 Let w(m) = 13*m**3 + 2*m**2 - 6*m + 42. Let f(r) = r**3 + r + 1. Let d(c) = -6*f(c) - w(c). Differentiate d(k) with respect to k. -57*k**2 - 4*k Let c be (3 + (-10)/4)*14. Suppose c*p = 2*p + 20. Find the second derivative of 5*u**4 - 5*u**4 + p*u + u**5 wrt u. 20*u**3 Let a(q) = -q**2 - 2*q. Let k(u) = -56*u**2 - 8*u + 21. Let n(s) = 4*a(s) - k(s). What is the first derivative of n(o) wrt o? 104*o Let u(g) be the second derivative of 1/12*g**4 + 0 - 4*g - 1/6*g**3 + 0*g**2. What is the second derivative of u(r) wrt r? 2 Suppose 0 = -3*a + 24 - 3. Find the third derivative of -3*d**4 + 3*d**4 + 2*d**6 - 7*d**2 - a*d**6 wrt d. -600*d**3 Let k(q) be the third derivative of 22*q**7/105 - 7*q**3/3 - 29*q**2. Differentiate k(f) with respect to f. 176*f**3 Let n(f) = -2*f + 6. Suppose -15 = 2*q - 5*q. Let w(y) = -3*y + 9. Let g(r) = q*w(r) - 7*n(r). Find the first derivative of g(j) wrt j. -1 Suppose -4*s = 4*m - s - 37, s + 4 = m. Find the third derivative of m*r**3 - 11*r**3 - 4*r**2 + 1 - 1 wrt r. -24 Let v = -1 - -2. Let t(c) = c**2 - c - 1. Let s(w) = 1 - 5*w - 3*w**3 - 6 + 6*w**2 + 0. Let g(k) = v*s(k) - 5*t(k). What is the third derivative of g(h) wrt h? -18 Let c(g) be the second derivative of -g**2 - 3*g - 1/6*g**3 + 0. Differentiate c(y) with respect to y. -1 Let h(v) be the second derivative of 1/20*v**5 + 0*v**3 + 0 + 0*v**4 - 7*v + 4*v**2. What is the first derivative of h(w) wrt w? 3*w**2 Let x = 69/130 - 2/65. Let v(w) be the first derivative of -x*w**4 + 0*w**2 - w**3 - 2 + 0*w. Find the third derivative of v(y) wrt y. -12 Let n(q) be the second derivative of q**5/30 - 2*q**3/3 - 2*q**2 + 6*q. Let y(v) be the first derivative of n(v). What is the first derivative of y(j) wrt j? 4*j Let p be 1 + (0 - 9/10). Let q(z) be the second derivative of p*z**6 + 2*z + 0 - 1/4*z**4 + 0*z**3 + 0*z**5 + 0*z**2. Find the third derivative of q(n) wrt n. 72*n Let c(n) = n**3 + 2*n**2 - 4*n. Let j be c(-3). Suppose b + 3*l - 9 = -4*b, 0 = -5*b + l - j. Differentiate -3 + 0*z + b*z + 3*z**4 + 2 with respect to z. 12*z**3 Suppose -2*l = -5*t - 26, 3*l + 2*t = 7*t + 29. Find the second derivative of 4*a**2 + l*a - 5*a**2 + 0*a**2 wrt a. -2 Let u(c) = 1 + c**3 + 6 + 6*c**3 + 7*c**2 - 1. Let f(x) = x**3 + x**2 + 1. Let w(l) = 6*f(l) - u(l). Find the third derivative of w(p) wrt p. -6 Let l(n) be the third derivative of -n**7/210 - 7*n**3/6 - 17*n**2. Differentiate l(k) with respect to k. -4*k**3 Let v = -1 - -4. Differentiate -f**2 - 2*f**2 + v*f**2 - 2 + f**2 wrt f. 2*f Find the third derivative of 1 + 6*x**2 + 11*x**3 + 77*x**4 - 79*x**4 + 11*x**3 wrt x. -48*x + 132 Let m(s) be the first derivative of -4*s**3/3 + 5*s + 9. What is the first derivative of m(q) wrt q? -8*q What is the derivative of -9 + 107*h**4 + 109*h**4 - 238*h**4 wrt h? -88*h**3 Let y(r) = -r**2 + r**2 - 1 + 2*r - r**2 - 1. Let w(v) = 2*v**2 - 3*v + 2. Let n(d) = 2*w(d) + 3*y(d). Find the first derivative of n(h) wrt h. 2*h Find the third derivative of -15*z**3 + 15*z**3 + 4*z**2 + 5*z**4 wrt z. 120*z Let w = 10 + -6. Let f(n) = 7 + 0 - 1 + 2*n**3. Let a(x) = -1. Let p(v) = w*a(v) + f(v). Differentiate p(q) with respect to q. 6*q**2 Let j(v) be the third derivative of 0 + 0*v + 0*v**3 + 1/24*v**4 + v**2 + 1/60*v**5. What is the second derivative of j(s) wrt s? 2 What is the second derivative of -64*b**5 - 2*b + 67*b**5 + 8*b wrt b? 60*b**3 What is the second derivative of 3*p**4 + 6*p**4 + 15*p - 12*p**5 - 9*p**4 wrt p? -240*p**3 Let x = -81 - -83. Let s(o) be the second derivative of 0*o**2 - x*o + 0 - 1/30*o**6 - 1/3*o**3 + 0*o**4 + 0*o**5. What is the second derivative of s(b) wrt b? -12*b**2 Differentiate 3 + 1 - 3*q**4 + 1 - 5*q**4 wrt q. -32*q**3 Suppose -4*x - 2 - 10 = 0. Let p(b) = 8*b**2 - 6*b - 3. Let v(q) = -16*q**2 + 13*q + 7. Let i(n) = x*v(n) - 7*p(n). Find the second derivative of i(d) wrt d. -16 What is the derivative of 4*n**4 - n**4 + 5*n**4 - 3 wrt n? 32*n**3 What is the first derivative of -10*m**2 + 16 + 5 - 53 wrt m? -20*m Let a = -11 - -13. Differentiate -6 + 2 - 1 - a*r**4 wrt r. -8*r**3 Let u(d) = -6*d**4 - 3*d**2 + 3*d - 20. Let i(c) = 13*c**4 + 5*c**2 - 5*c + 40. Let a(h) = -3*i(h) - 5*u(h). What i
{ "pile_set_name": "DM Mathematics" }
d give d. 12 Rearrange 3*q + 13 - 26 - q - 6 to m + z*q and give z. 2 Express -66*t - 39*t - 35*t + 82*t as n + u*t and give u. -58 Express -1 + 1 + 3*b**2 + (-4 + 4 - b)*(0*b - 3*b + 5*b) + (2 - 2 + 2*b)*(b - b + b) - 2*b**2 + b**2 + 3*b**2 as i + v*b + c*b**2 and give c. 5 Express -1 - 1 + 2 + 39*c - 2 as d + q*c and give q. 39 Express 9 - 2 - 15*s**3 + 4*s**3 + 12*s**3 in the form g + q*s + v*s**3 + l*s**2 and give g. 7 Rearrange (-4*c**4 - 3*c**4 + 5*c**4)*(-59 + 4 + 31) to the form n*c**4 + z*c**2 + g*c + r*c**3 + w and give z. 0 Rearrange 24*p**2 - 9 + 3 + 6 to i + t*p**2 + j*p and give t. 24 Rearrange 2*k**2 - 15*k**2 - 4*k**2 to o*k**2 + h*k + z and give o. -17 Rearrange (557*f - 297*f - 290*f - 5)*(2*f - 1 + 1) to the form m*f**2 + u*f + y and give m. -60 Express -139*x + 143*x + 4 - 2 in the form s + l*x and give l. 4 Express -5*a**2 + 2 - 1 + a**2 - 5 in the form f*a + w + v*a**2 and give f. 0 Express (10*l - 10*l - 15*l**2)*(-13*l**2 + 11*l - 4*l + 15*l**2) as i*l + d*l**4 + r*l**2 + b*l**3 + a and give d. -30 Rearrange -w + 7 + 11*w**2 - 6*w**2 - 4*w**2 to a*w**2 + t + n*w and give t. 7 Express 4*c - 6*c**2 - 3*c + 25*c + 4*c**2 as r*c**2 + q*c + b and give q. 26 Express -2*s - 2*s + 3*s + (1 - 1 - 1)*(s - 3*s + 3*s) + 5*s - 2*s - 5*s + s - 2*s - s + 3*s - 5*s + 0*s + (-1 + 3 - 1)*(2*s + 2*s - 3*s) as n*s + t and give n. -7 Express -2*v**2 + 0*v - 3*v - 2*v**4 + 4*v as s*v**4 + y*v**2 + q*v**3 + x + j*v and give j. 1 Rearrange 44*t - 21*t + 8*t to the form a + m*t and give a. 0 Express (12*z - 6 + 2 + 2*z)*(-4*z + 2*z + 0*z) in the form n*z**2 + d*z + p and give d. 8 Rearrange v - 6*v**2 - 6*v**2 - v to the form l*v**2 + b*v + t and give l. -12 Express (-19*d + 280 - 280)*(-1 + 0 + 3) in the form w*d + c and give w. -38 Rearrange (-2 + 4 - 3)*(3*y - y + 0*y) + (4 + y - 4)*(-1 + 2 + 0) to the form z*y + c and give z. -1 Express (35*u**2 - 220*u + 220*u)*(0 + 0 - 2)*(3*u - 2*u + u)*(0*u + 2*u + 0*u) in the form g*u**3 + p*u**4 + f*u + n + t*u**2 and give g. 0 Express (63 - 63 - 24*y)*(-4 - 2 + 4) as k*y + n and give k. 48 Express 4*n**2 - 152*n**4 - n**3 + 149*n**4 - 5*n**2 in the form c*n + q*n**4 + l + y*n**2 + r*n**3 and give y. -1 Rearrange 7*f**2 + 5*f - 4*f - 5*f**2 to t*f**2 + k + g*f and give k. 0 Express m - m - 5*m + 30*m as x*m + j and give x. 25 Express 15*d**2 + 4*d - 5*d**3 - 15*d**2 as z*d**2 + o*d**3 + c + t*d and give t. 4 Rearrange (429 + 32*n - 429)*(-2 + 0 - 5*n + 0) to q + t*n**2 + p*n and give t. -160 Rearrange -4*r**3 + r**3 - 4*r**2 - 2*r**4 + r**3 to x + f*r**3 + g*r**2 + o*r**4 + a*r and give o. -2 Rearrange (-5*w + 7 - 7 + (w + 0*w - 3*w)*(0 - 1 + 2))*(-4 + 4 - 4) to k + o*w and give o. 28 Express (3 - 2 + 1)*(9 + 3*x - 9)*(-5*x + 0*x + 4*x) as r*x**2 + o + v*x and give r. -6 Express (-12*j + 2*j + 6*j)*(-1 + 4*j - 3*j + 0*j) as f*j**2 + g + z*j and give z. 4 Express 2*p - 3 - 4 + 8 + 1 in the form i*p + j and give i. 2 Express (2 - 9 + 6)*(0*j - j + 3*j)*(-5 + 2 - 1) in the form f*j + l and give f. 8 Express 9*t - 2*t + 12*t - 8*t as n + c*t and give c. 11 Express (-8*s + 4*s + s)*(-3*s**2 + 2 - 2)*(-1 + 0 + 0) as z*s + h*s**2 + w*s**3 + d and give w. -9 Express -1 + 2*q**2 - 13*q + 25*q - 9*q as f*q + z*q**2 + v and give z. 2 Express -16*m - 22*m + 41*m as a*m + u and give a. 3 Express 4*u**4 + 2*u + u**4 + u**2 + 29*u**3 - 31*u**3 - 2 as g + n*u + d*u**2 + h*u**4 + z*u**3 and give z. -2 Rearrange 20*c**2 + 2*c**2 - 5*c**2 + 5*c**2 to s*c + k*c**2 + f and give k. 22 Rearrange -v - 2*v**3 + 2*v - v**2 + 4*v**2 + 4*v**3 to h*v + s*v**2 + a + i*v**3 and give h. 1 Rearrange 2*g**2 + 8 + 3*g**2 + 2*g - 6 to v*g**2 + i + x*g and give v. 5 Rearrange (8*c**2 - 2*c**2 - 2*c**2)*(3 + 0 - 1)*(2*c - 2*c + 2*c)*(-4 + 3 + 2) to the form a*c + b*c**3 + x*c**2 + m and give b. 16 Rearrange 12*r**2 - 5*r + 5*r to the form u + t*r + z*r**2 and give z. 12 Rearrange (0*v - v + 3*v)*(0*v**2 + 3*v**2 + 9*v**2)*(-4 + 4 - 2*v) to i*v**4 + g + z*v**3 + d*v + y*v**2 and give i. -48 Express (-4 + 1 - 3)*((2*d - 3*d + 2*d)*(0 - 4 + 3) - 4*d - 2*d + 3*d) as a*d + f and give a. 24 Rearrange 30 - 12 - 18 - 10*q to o*q + f and give o. -10 Express -3 - 29*p + 3 + 64*p as s*p + y and give s. 35 Rearrange -2*j**2 - 3*j**4 - 5 + 5 + j**3 - 2 to the form z + n*j**3 + x*j + w*j**2 + t*j**4 and give n. 1 Rearrange 0*x - 5*x - 2*x + 0*x to the form n*x + l and give n. -7 Rearrange -6*m - 20*m**3 + 2*m**2 + 8*m + 4*m**3 - 12*m**3 + 1 to q*m + u + f*m**3 + w*m**2 and give u. 1 Rearrange (0 - 3 + 2)*(-2*x - x + x)*(x**2 + x**2 - 3*x**2) to the form f*x + q*x**3 + d + a*x**2 and give f. 0 Express 2*w + 14 - 12 + 0*w + (-3*w + 4*w - 3*w)*(2 + 0 - 3) in the form j*w + k and give j. 4 Express -282 + 5*c**2 + 137 + 139 as h + l*c**2 + o*c and give h. -6 Express 41*a + 9*a - 13*a as y*a + l and give y. 37 Rearrange -2 + 4*h**4 + 2*h**3 - 4*h**4 + 2*h**4 + 3 to the form n + i*h**2 + l*h + q*h**3 + j*h**4 and give n. 1 Rearrange -1 + 2*b**3 + 1 + (3*b**2 - 4*b**2 - b**2)*(0 + 0 + 2*b) - b + b**3 + 8*b + b to a*b**3 + k + j*b + c*b**2 and give j. 8 Express m**3 - m**2 - 2*m + m**3 + 0*m**3 - 6*m in the form i*m + z*m**3 + y*m**2 + k and give z. 2 Express -33*l**3 - 2 + 16*l**3 + 19*l**3 - l**2 in the form i + d*l**3 + r*l**2 + o*l and give i. -2 Rearrange 0 + 2*g**2 + 0 + (2 - 2 + g)*(0 + 0 - g) to the form l*g**2 + j + u*g and give l. 1 Express (-20*w + 17*w - 8*w)*(-4 - w**3 + 4) in the form o*w**4 + z + n*w**3 + i*w**2 + j*w and give j. 0 Express 30*p**2 + 33*p - 33*p + (3 - 3 + 2*p)*(2*p - 1 + 1) as m + a*p**2 + n*p and give n. 0 Rearrange -162*k + 2*k**3 - 1 + 2 + 2*k**4 + 160*k to t*k + j*k**4 + q*k**2 + v*k**3 + m and give v. 2 Rearrange -7*m - 2*m - 5*m + 0*m to the form l*m + w and give l. -14 Rearrange 39 - 39 - 24*n**2 to the form b + m*n**2 + u*n and give m. -24 Rearrange (3*w + w - 3*w)*(0*w**2 - 3*w**2 + 4*w**2) + w**3 + 5*w - 5*w to the form o*w**2 + s + i*w + j*w**3 and give j. 2 Express -7*b**2 + 11*b + 8*b**2 + 0*b**2 + 4*b as j + h*b + i*b**2 and give i. 1 Express (1 + 0 - w + 2*w)*(-7*w - 8*w + 2*w) in the form x*w**2 + o*w + r and give x. -13 Express (6*w**2 + 2*w**2 + 7*w**2)*(-w + 4*w - 2*w) in the form v + j*w**2 + t*w + n*w**3 and give n. 15 Express (2*x**2 + 0*x**2 - 4*x**2)*(9 + 3*x - 4 - 6) as y + d*x + l*x**2 + h*x**3 and give h. -6 Rearrange -4*c - 3*c + 5*c - 11*c**2 to k*c + a + n*c**2 and give k. -2 Express (-2 + 2 + 1)*(-2*f + 2*f + 2*f) - 5*f + 4*f + 3*f - 4 + 9 + 10*f - 4*f in the form a + j*f and give j. 10 Rearrange 335 - 18*s - 335 to the form c*s + h and give c. -18 Express (-w - 5*w**2 + 4*w**2 - 7*w)*(-1 + 1 - 5*w) as l*w**3 + f + d*w**2 + b*w and give l. 5 Rearrange -3*f**2 - f**2 + 3*f**2 - 2*f**2 + 0*f**2 + f**2 + 2*f**2 + 0*f + 0*f + (6*f**2 - 4*f**2 - f**2)*(7 + 4 - 1) to y*f + v + g*f**2 and give g. 10 Rearrange 5*p**2 + 466*p**3 + p**4 + 16*p**2 - 468*p**3 + p**4 - p to the form x*p**4 + u*p**2 + o*p**3 + l*p + j and give u. 21 Express 28*m**3 + 24*m**3 - 4 - 54*m**3 - 2*m**2 in the form y + d*m**3 + t*m**2 + w*m and give d. -2 Express -18*y**2 + 166*y**2 + 6 - 7 + 5*y**2 as p*y + b*y**2 + k and give b. 153 Rearrange 4*w**3 - 3*w**3 + 4*w**3 + (3*w - 4*w + 3*w)*(3 - 3*w**2 - 3) to the form b + r*w + t*w**2 + l*w**3 and give l. -1 Rearrange (-2*u**2 - 4*u**2 + 4*u**2)*(5*u - 4*u + 0*u) + 2*u**3 + 0*u**3 - u**3 to the form x*u**2 + n*u + y + k*u**3 and give k. -1 Express 2*z**4 - 5*z**4 + z**4 + (-3*z**3 + z - z)*(0*z + 3*z - z) + 18*z - 18*z + 3*z**2 + z**4 + 1 as r + s*z + p*z**2 + y*z**3 + b*z**4 and give r. 1 Rearrange -3 + 64*z - 22*z - 21*z - 18*z to i + m*z and give i. -3 Express -4*t**3 + 5 + 6*t**3 + t**2 + 13*t - 2*t**4 - 15*t in the form p*t**4 + l*t + d + x*t**2 + m*t**3 and give m. 2 Rearrange (-2*d**3 - 4*d**3 + 3*d**3)*(-4*d + 2 - 2) to n + w*d**4 + t*d + q*d**3 + m*d**2 and give w. 12 Rearrange -2*x**3 - 14*x + 2 + 2*x**2 + 39*x - 27*x - 2*x**4 to b*x + v*x**2 + i*x**3 + d*x**4 + w and give i. -2 Rearrange -2*j + 0*j + j**3 - 3 + j**2 + 5 + 0*j**4 + 2*j**4 to the form b*j**3 + i*j**2 + q*j + f*j**4 + x and give i. 1 Express (-19 - 19 + 37)*(4 - z + 2*z + 0*z) as v + a*z and give v. -4 Express 41*x + 5*x + 3*x - 7*x in the form f*x + k and give f. 42 Rearrange (-14*a + 12*a - 15*a)*(-2 + 2
{ "pile_set_name": "DM Mathematics" }
14? 14 Let p = 11 - -9. Suppose 4*x - j - p = 0, -2*j - 20 = -5*x + x. Let s = 33 + -8. Calculate the greatest common factor of x and s. 5 Suppose -3*y + 33 = 3*h, 3*y - 21 = -4*h + 20. Let l be (-275)/(-175) - 3/(-7). What is the greatest common factor of h and l? 2 Suppose -z = -0 - 9. Suppose 1 = -4*v + z. Suppose -35 - 31 = -3*c. Calculate the highest common factor of v and c. 2 Let q = -5 - 8. Let x = 28 + q. Let n = 57 - 51. What is the highest common divisor of x and n? 3 Suppose 2*t = -4*g + 18, 2*t + 3*g = -2*t + 21. Let k be -3*(1 + 8/(-6)). Calculate the greatest common factor of k and t. 1 Let t = 5 + -8. Let q(f) = -2*f + 2*f**2 + 0*f**2 + 5*f + 1. Let o be q(t). Calculate the greatest common factor of o and 70. 10 Suppose 0 = 3*u - 0*u - 81. Calculate the greatest common factor of 3 and u. 3 Suppose 92 = 2*d - 3*n - 2*n, -d + n + 40 = 0. Suppose -4*q - 16 = 0, 9 = -t - 2*q + 55. What is the highest common divisor of d and t? 18 Suppose 0 = z - 2*t - 4, t = -2*z - 0*z + 3. Let o be (640/24)/(z/6). Calculate the greatest common divisor of 8 and o. 8 Let f = -130 + 262. Calculate the highest common divisor of 22 and f. 22 Let l be (-2)/(-1) + -1 - -55. Suppose 5*a + 2*d = 90, -5*a - l = 5*d - 161. Let p be 18 + -1*(-2 + 4). Calculate the greatest common divisor of p and a. 16 Let z(r) = -5*r. Let n be z(1). Let t = n + 6. Calculate the highest common divisor of t and 8. 1 Suppose 191 - 596 = -5*z. Calculate the greatest common factor of 54 and z. 27 Suppose 260 = 3*g - 5*s, 17 = -4*g - 2*s + 329. Let d(l) = 17*l - 2. Let p be d(2). What is the highest common divisor of p and g? 16 Suppose -4*i - i + 450 = 0. Let s be (i/4)/(6/24). What is the greatest common factor of s and 10? 10 Suppose 0*u - 23 = -u. What is the highest common divisor of u and 23? 23 Let d(y) = -22*y - 7. Let j(t) = 111*t + 34. Let h(g) = 11*d(g) + 2*j(g). Let z be h(-9). Calculate the highest common factor of 19 and z. 19 Suppose 4*b - g - 235 = 0, -35 = b - 2*b + 5*g. Calculate the greatest common factor of 24 and b. 12 Let q = -21 + 76. Let p be (-1)/2*-2 + q. What is the highest common factor of 7 and p? 7 Suppose -4*s + 0*s = -44. Let j = s - 3. Suppose 0 = 3*c - 5*c + 112. What is the highest common divisor of j and c? 8 Let s(x) = -x**2 - 2*x + 2. Let i be s(-4). Let p be -3 + i*(-3 + 2). What is the highest common factor of p and 21? 3 Suppose -5*z - 31 + 84 = -a, 3*a + 9 = 0. What is the highest common factor of 80 and z? 10 Suppose 2*d - 280 - 500 = 0. Let y be d/9*18/12. Let o = -26 + 39. Calculate the highest common factor of y and o. 13 Let s(a) = -14*a + 2. Let f be s(-1). Let i be (-8)/f*1*-16. What is the highest common divisor of 64 and i? 8 Let d be ((-6)/(-8))/((-5)/40). Let x(w) = -15*w - 2. Let n be x(d). What is the highest common divisor of n and 11? 11 Suppose 2*f = -2*y - 0*f + 14, -y - 5*f + 15 = 0. What is the highest common divisor of y and 5? 5 Let f = -16 + 24. Let l be 3*(38/3 + 0). Suppose -3*k = l - 110. Calculate the greatest common divisor of f and k. 8 Let u = 9 - 16. Let x = -3 - u. Suppose -3*d + d = -3*o - 78, -x*o + 16 = 0. Calculate the highest common factor of d and 18. 9 Let x = 2 - 0. Suppose 5*b - i - 7 = 0, x*i + 0*i + 7 = 3*b. Let w = 1 + b. What is the highest common factor of w and 18? 2 Let a(g) = 2*g**2 - 3*g + 4. Let t be a(5). Let w = t - 23. What is the highest common divisor of w and 32? 16 Suppose -3*l = 5*m - 232, 3*m + 2*l - 91 - 49 = 0. Calculate the highest common divisor of m and 4. 4 Let o(j) = -4*j + 12. Let f be o(-3). Calculate the highest common factor of 12 and f. 12 Suppose -3*s - 540 = -7*s. Let r = 26 - 5. Let j = 36 - r. Calculate the highest common divisor of s and j. 15 Suppose 4 + 0 = b. What is the greatest common divisor of 6 and b? 2 Suppose 13 = 5*k - 7. Suppose -2*h - k*r + 8 + 20 = 0, -3*h = -r - 14. Calculate the highest common factor of h and 24. 6 Let m(w) = -w**2 - 9*w - 1. Let x be m(-5). What is the highest common factor of 57 and x? 19 Suppose -p = -4*f - 2*p + 116, -5*f + 4*p = -124. What is the highest common factor of f and 140? 28 Suppose 0*a + 21 = 3*a. Let b be a/(-2)*(-5 - -3). Calculate the highest common divisor of b and 14. 7 Suppose 2*g + 0*g - 45 = -3*m, 0 = -5*g + m + 155. What is the highest common divisor of g and 75? 15 Let q(o) = o**3 - o**2 - o + 34. Let x be q(0). Let k be (-2)/(3 - (-53)/(-17)). Calculate the highest common factor of k and x. 17 Let q = -7 + 13. Suppose -q*p + 4*p = -6. Suppose -a - 176 = -2*h + 3*a, p*a = -h + 88. What is the highest common factor of 11 and h? 11 Let f be 17 + -11 - (1 - 2). What is the highest common divisor of f and 35? 7 Let i(z) = z**3 - 4*z**2 - 6*z - 2. Let w be i(5). Let c = w - -7. Let a be 1 - (-1 - c - 2). Calculate the greatest common divisor of 28 and a. 4 Let q = 2 + -3. Suppose -2*t - t - 10 = 2*i, -2*t - 10 = 2*i. Let j be q/((i + 2)/81). Calculate the highest common factor of j and 9. 9 Let d = 65 - -10. What is the highest common divisor of 15 and d? 15 Let v(o) be the third derivative of -o**4/4 - 8*o**3/3 + o**2. Let x be v(-11). Calculate the highest common divisor of x and 20. 10 Let p(h) = h + 13. Let r be p(-6). Let q(u) = 2*u - 10. Let i be q(r). Let a be -2*(-1)/(i/18). Calculate the greatest common factor of a and 9. 9 Suppose 3*r - 1 = -4. Let c = 19 + r. Suppose -4*i + 108 = -0*i. Calculate the greatest common divisor of c and i. 9 Suppose 66*s = 61*s + 160. Calculate the highest common factor of s and 2. 2 Let h = 135 + -90. Calculate the highest common factor of 45 and h. 45 Let j(u) = -u**3 - 4*u**2 - 3*u - 6. Let x be j(-6). Calculate the greatest common factor of 12 and x. 12 Let y be (-81)/(-12)*(-80)/(-3). What is the highest common factor of y and 20? 20 Suppose 23*y = 27*y - 300. What is the highest common factor of y and 125? 25 Let f be 2/(-4) + (2 - 69/(-6)). Calculate the highest common divisor of f and 26. 13 Suppose 5*x = 122 - 47. Let d(b) = -b**2 - 6*b - 5. Let n be d(-5). Let s be 5 + (n/1)/2. What is the highest common factor of x and s? 5 Let l = -41 - -58. Let w = l - 16. Calculate the greatest common factor of w and 10. 1 Let p(x) = 12*x - 5. Let c(o) = 24*o - 11. Let f(n) = 4*c(n) - 9*p(n). Let m be f(-1). What is the highest common factor of 26 and m? 13 Suppose -i = 2*i - 96. What is the greatest common divisor of 80 and i? 16 Let g = 10 - 0. Suppose -22 = 4*t - 82. What is the highest common divisor of g and t? 5 Suppose 0 = -f + 157 - 5. Suppose 132 = 5*b + 37. What is the greatest common divisor of b and f? 19 Suppose -21*c + 18*c + 4*i = -40, 5*c = -2*i + 84. Let s(g) = g - 1. Let u be s(3). Calculate the greatest common factor of u and c. 2 Let v = 73 - -70. What is the greatest common divisor of 13 and v? 13 Suppose 7*w - 240 = -w. What is the greatest common divisor of 10 and w? 10 Let t be (12/(-7))/(15/(-70)). What is the highest common divisor of t and 28? 4 Suppose 3*q - 5*q + 112 = 0. Let a(s) = s**3 - 11*s**2 + 12*s - 13. Suppose 0 = -5*l - 0*l + 50. Let m be a(l). What is the greatest common divisor of m and q? 7 Let i = -13 + 22. Calculate the greatest common divisor of i and 45. 9 Let s = 8 - 5. Suppose -5*a - 4*o + 8*o = -78, s*a = 2*o + 46. Calculate the greatest common divisor of 56 and a. 14 Let g be 30/4 - 3/(-2). Let i be (8/2)/(-1 + 2). Suppose -i*t + t + 3 = 0. What is the greatest common factor of t and g? 1 Let f = 9 - 15. Let r = -19 + 32. Let n = f + r. Calculate the highest common factor of 35 and n. 7 Suppose 5*o = -u - 2*u + 82, o = -5*u + 34. Suppose -46 = -b - 4*s + o, -3*b + 150 = 2*s. Calculate the greatest common divisor of b and 12. 12 Suppose -6*j + 1220 = -j. Let c be (-8)/20 + j/10. Calculate the highest common divisor of 12 and c. 12 Let m(j) = 46*j**2 + 2*j - 1. Let y be m(1). Let r = -4 + 6. Suppose 0 = -4*w + r*a + 62, -2*w + a + y = w. Calculate the greatest common divisor of 24 and w. 8 Let i = 13 - 9. Suppose -i*c = -20, j = 4*j + 4*c - 407. Let w = j + -89. Calculate the greatest common factor of 8 and w. 8 Suppose 0 = -4*r - 8, -4*s - 3*r + 0*r + 58 = 0. Let p(x) = -x**2 - x + 64. Let b be p(0). What is the greatest common factor of b and s? 16 Suppose p + 32 = -3*p. Suppose 0 = -3*n - 4*l + 37, -6*n = -3*n + 5*l - 38.
{ "pile_set_name": "DM Mathematics" }
2*s**3 + 148*s**2 + 71*s + 193. Is n(72) a prime number? True Suppose -23*w - 1174670 - 333532 = 0. Is -1*1/(-1)*w/(-18) prime? True Let i(x) be the third derivative of -151*x**4/6 + x**3/6 - 6*x**2. Let o be i(1). Let u = 1356 + o. Is u a prime number? False Suppose -696489 = -s - 4*j, 0 = -4*s + 70*j - 68*j + 2785830. Is s composite? True Suppose 0 = 3643*v - 3596*v - 44859667. Is v prime? True Suppose -4*n - 5473244 = -5*a, 212151 + 882513 = a + 3*n. Is 1/3 + (a/27 - 6) composite? True Let c(t) = 5*t - 26. Suppose -18 = -3*d + 3*r, -2*r = -3*d - 0*r + 16. Let m be c(d). Is (m/(-10))/((-2)/(-17210)) composite? True Let q = -11 + 13. Let h(y) = 377*y**2 - y + 3 + 4*y - 10*y**2. Is h(q) a prime number? False Let h(i) = 26*i**3 - 7*i**2 + 9*i - 359. Is h(19) prime? False Let z(r) = -2*r**2 - 12*r + 4. Let j be z(-2). Is 40/(-32) - (-1085)/j a composite number? False Suppose -2*n = -2*d + 579 - 2827, d - 4*n = -1124. Let z = d + 1721. Is z a composite number? True Let d = 203 + 379. Let y = 819 + d. Is y prime? False Suppose 4*q + 2*p - 133634 - 88626 = 0, 0 = 3*p + 2*p. Is q a composite number? True Suppose -l = -5*b + 506, -l - b - 498 = 2*b. Let g = l + 859. Is g prime? False Suppose -18*k + 423246 + 2098158 = 0. Is k a prime number? False Suppose 0 = 3*v - 31*l + 26*l - 99437, v = 4*l + 33141. Is v composite? False Suppose -3*z + 2*a = -24, 40 = 5*z - 2*a - 3*a. Let s be 1 - (-246)/z - 12/16. Suppose n - 846 = s. Is n prime? True Let r be (3/2)/((-2)/4) - 65. Let f = 67 + r. Let x(q) = 877*q**2 + q + 1. Is x(f) a prime number? True Let q be 4/10 + 5/(50/246). Let y = q + -38. Let d = 40 - y. Is d a prime number? True Let y(c) = 95*c**3 + c - 3 - 3*c**2 - 96*c**3 + c. Let t be y(-4). Suppose -t*k + 2215 = b, k - 3*b = 6*k - 2215. Is k composite? False Suppose 26*s - 283407 = -79853. Is s a composite number? False Let b = 16460 - 8961. Is b prime? True Let i = 1825461 + -1081520. Is i a composite number? True Suppose -3*k = -5*x - 1436881, 3*x - 760 = -748. Is k a prime number? True Suppose s = -s - 2, 5*s = 4*f - 75149. Let r = -8303 + f. Is r a composite number? True Let g be 0 + 3/9*4*3. Suppose -4*r - 4*u + 990 = -8194, g*u = r - 2321. Suppose 6*l = 333 + r. Is l prime? True Suppose 64564830 = 50*n + 93*n + 24293027. Is n composite? False Let b = 372 - 370. Suppose 3*h - 40833 = -4*a + 8*a, b*a = -2*h + 27208. Is h prime? False Suppose -3*v + 18*z = 14*z - 9923, 3*v + 2*z - 9929 = 0. Is v prime? False Let b = 5887 - -221400. Is b a composite number? True Suppose -2*k - 12 = 3*t - 2*t, -28 = 5*k + 3*t. Let n be ((-3)/(-2))/((k/4)/(-12)). Suppose -10*s + n*s + 263 = 0. Is s composite? False Let b = -112 - -110. Is ((-30)/72*-4)/(b/(-4638)) a composite number? True Suppose 2*d - 94 = -5*y, -4*d - 31 - 15 = -3*y. Let v = 159 - y. Is v composite? True Let t(y) be the second derivative of 1657*y**3/3 - 9*y**2/2 + 11*y + 4. Is t(1) a prime number? False Suppose 62 = -4*r - 266. Let n = r - -82. Suppose -3*d + 5*j + 320 = n, 3*d + j - 228 = 122. Is d a composite number? True Let t = 260779 - 105408. Is t a composite number? False Is ((-33)/27 + 2/9)/(9/(-53145)) composite? True Suppose 4*v = -4*s + 3964, 559 = -3*v + 2*s + 3532. Let d = 648 + v. Is d a prime number? False Let y(a) = -a**2 - 21*a - 86. Let b be y(-6). Suppose -b*u - 19076 = -4*t, 3*u + 9847 = 4*t - 9229. Is t a prime number? False Suppose -18*a + 17*a + 160747 = 4*d, 2*d - 321482 = -2*a. Is a composite? False Let f(d) = 2*d**2 - 10. Let u be f(-4). Suppose 0 = -s + 4*l + 14, -3*s - 2*s + u = -4*l. Let c(g) = 408*g**2 + g - 1. Is c(s) a prime number? False Suppose -45294 + 17050 = 4*q. Let s = 4139 + q. Let k = 7237 + s. Is k a prime number? False Suppose -37760 = -x + 3*d, 3*x + d - 28556 = 84734. Is x prime? False Let t(d) be the third derivative of -d**6/360 - d**5/60 + 11*d**4/12 - 2*d**3/3 + 42*d**2. Let v(g) be the first derivative of t(g). Is v(0) composite? True Let l = 72 + -47. Suppose l*m = 22*m + 369. Let t = m + -34. Is t a composite number? False Let f be (-1 + 58/(-10))/(1/(-10)). Suppose -18 + f = -5*p. Is (-1174 + 0)/(p - -8) prime? True Is 1/(7 + (-328013)/46858)*(-29)/2 composite? True Let b = -312 - -211. Let a = b - -289. Suppose -6*q + 214 + a = 0. Is q a prime number? True Let c = 100907 + -67008. Is c a composite number? True Suppose 2*p = k - 76979, 0 = -k + p - 6*p + 77021. Is k a prime number? True Let u = 23364 - 12349. Is u a prime number? False Let v(z) = 3*z - 24. Let b be v(-7). Let p be (-3 - (0 - 2)) + b. Is p*((-4)/2 + 1) a composite number? True Let g(b) = 43*b**2 - 14*b + 404. Is g(-21) a prime number? True Is 310172*(4/(-14))/((-320)/280) a composite number? False Suppose 0*r = 3*r + 4*m + 13668, 18249 = -4*r + 3*m. Let i = r - -15373. Is i composite? True Let t be 22/8 - 3/(-12). Is t + -10 + 7 - -371 composite? True Let b(h) = 3*h - 19. Let a be b(7). Suppose -a*d + 937 = -l, -5*l = -2*d + 1304 - 355. Is d composite? False Suppose 5*v = 15*v - 103760. Let d = v - 4133. Is d a composite number? True Suppose -9*v = -118 - 170. Let b = v - -165. Suppose 2*o + b + 385 = 4*a, 0 = 3*a + 4*o - 431. Is a prime? False Let q = -10661 + 15840. Suppose 25*k + q = 26*k. Is k prime? True Suppose 4 = 4*z, 4*z - 2*z = -4*j + 50. Let t(l) = 0*l + l - j + 3*l - 6. Is t(16) a composite number? True Suppose -5*q + 61944 = -s, 7179 = q - s - 5209. Is q a composite number? True Suppose -3*p + 30 + 10 = -5*k, -p - 20 = 5*k. Suppose -p*f + 0 = -20. Is (-2)/5*2935/f*-2 composite? False Let s(z) = -730*z**3 - 10*z**2 - 46*z + 5. Is s(-11) composite? True Suppose -936 = -26*v + 20*v. Suppose -p + 7265 = v. Is p a prime number? True Suppose o = 10*o - 252. Suppose -18*v + 114218 = o*v. Is v prime? False Let m = 50 + -103. Let v = m - -59. Is ((-2)/v)/((-9)/68877) prime? True Let l = -79746 + 389981. Is l a composite number? True Suppose 4*d - 140026 = -23*w + 24*w, d + 3*w - 34987 = 0. Is d a composite number? True Let f(q) = -20943*q + 578. Is f(-7) a prime number? True Suppose 6*x - 18*x + 23820 = 0. Suppose -5*u - 2*w + x = 0, -2*u + 1980 = 3*u + w. Suppose 4*o + 5*y = 653, 4*o - u - 218 = 3*y. Is o composite? False Suppose -s + 7430 = -5*u, 5*u + 0*u - 20 = 0. Suppose 30*t - 25*t - s = 0. Suppose 2*a - 5*v - 63 - 498 = 0, -5*a - 5*v = -t. Is a prime? True Suppose 0 = 31*a - 25*a - 20820. Let z = 5013 - a. Is z a composite number? False Is ((-1)/(10/(-30746)))/(108/1080) prime? False Suppose 0 = 4*h + u - 6283, -10*h - u = -8*h - 3141. Suppose 0 = 7*m - 2*m - 2*r - 1969, 0 = 4*m - 3*r - h. Is m a prime number? False Let x = -10 - -8. Suppose -2*d = -5*k - 7, -5*k - 7 = 3*d - 9*k. Is (1 + (-744)/d)/(x/(-6)) composite? False Let j be 1786/(-235) + (-2)/5. Is (-1083041)/(-172) - (0 + 2/j) a composite number? True Suppose 3*a + p = 2487514, 36*a - 37*a + 2*p = -829169. Is a a prime number? False Suppose 7*c = -4*c + 22. Suppose -2*a = 3*n - 27, 0 = -c*n - 0*n - 10. Is (a*-113 + -1)/(-2) a composite number? False Let o be 11 - (42/6 - 1). Let l(s) = 1319*s**2 + 8*s - 26. Is l(o) prime? False Let s = 24788 + 253277. Suppose s = -7*q + 26*q. Is q composite? True Let d = 332321 - 236860. Is d prime? True Let j = -157037 + 299044. Is j a composite number? False Let j = -43813 - -90180. Is j composite? True Suppose 2*a - 339 - 101 = 0. Let t = a - 94. Let g = 325 - t. Is g composite? False Let n(r) = -6*r + 97. Let j be n(16). Let o(z) = 4831*z**2 - 5*z + 5. Is o(j) prime? True Let c(p) = -p**3 - 7*p**2 - 7*p - 4. Let d be c(-6). Let f(k) = -8*k**2 - 6*k**2 + 0*k**2 - d*k**3 + 7 + 3*k**2. Is f(-10) composite? False Let m(l) = -430*l + 9181. Is m(-72) a prime number? False Let o(k) = k**2 - 6*k - 16. Let h be o(9). Suppose 2382 = -9*g + h*g. Is g composite? True Let w be (-3 - -5)/(12/18). Suppose 0*a = -5*j + a + 12195, 0 = 2*j + w*a - 4861. Suppose -5*y + 2810 = 5*n, 5*y - 163 = 4*n - j. Is n prime? False Let c be (-239016)/(-18) - 6 - (-2)/6. Suppose -c = -13*r + 8476. Is r a composite number? True Suppose 27*p - 18616410 = -7*p + 1196036. Is p prime? True Let f be -3 - (-11)/(88/(-1606896)). Is (f/(-45))/((-1)/(-3)) composite? True Let n(p) = 2*p**3 + 5*p - 6. Let a be n(1). Is a/3 - (4064/(-3) - 6) a prime number? True Let h(l) = l**3 - 3*l**2 + 7*l - 3. Let c be h(3).
{ "pile_set_name": "DM Mathematics" }
k + 34*k. -113*k Collect the terms in 30*q + 4 + 2*q + 6*q - 13*q. 25*q + 4 Collect the terms in -1320 - 1340 + y + 2693. y + 33 Collect the terms in 6*s - 2*s + s + 56*s + 58*s. 119*s Collect the terms in -61669713*u + 61669713*u + 14*u**2. 14*u**2 Collect the terms in -56*q**2 + 2*q + 0*q + 12 + 47 - 3. -56*q**2 + 2*q + 56 Collect the terms in 62199*g - 31141*g - 31048*g. 10*g Collect the terms in g**2 + 748557515*g - 2*g**2 - 748557515*g. -g**2 Collect the terms in 1206 + 231*d**2 - 399 - 406 - 401. 231*d**2 Collect the terms in 2547*r + 470920*r - 86836*r. 386631*r Collect the terms in 38484 + 45*s**3 - 38484. 45*s**3 Collect the terms in 12 + 1036*a**3 + 2 - 14. 1036*a**3 Collect the terms in 79*b**2 + 3*b**2 + 14*b**2 - 98*b**2. -2*b**2 Collect the terms in -485651*h + 4*h**3 + 485651*h. 4*h**3 Collect the terms in 3*b**3 - 7*b**3 + 202 - 5*b**3 - 202 + 12*b**3. 3*b**3 Collect the terms in 2747*z**2 + 3013*z**2 - 4 + 4. 5760*z**2 Collect the terms in 26*v**3 - 61*v**3 + 8*v**3 + 33*v**3. 6*v**3 Collect the terms in 100*o + 130*o + 124*o - 362*o. -8*o Collect the terms in 44 + 46 + 32 - 500*k - 122. -500*k Collect the terms in -12*n**2 - 173*n - 16*n**2 + 173*n + 15*n**2. -13*n**2 Collect the terms in -809*v + 861 - 861. -809*v Collect the terms in 160*m + 15*m**2 + 264*m - 6*m**2 - 424*m. 9*m**2 Collect the terms in 10*l**2 + 8*l**2 + 38*l**2 - 49*l**2. 7*l**2 Collect the terms in -47*m**2 - 47*m**2 + 76*m**2. -18*m**2 Collect the terms in 5 + 4*i - 5*i - 7 + 1. -i - 1 Collect the terms in 18*i**2 + 1 - 1 + 30*i**2 - 9*i**2. 39*i**2 Collect the terms in 2536*z**2 + 2582*z**2 - 109*z + 109*z. 5118*z**2 Collect the terms in 289*i**3 + 290*i**3 + 283*i**3 - 858*i**3. 4*i**3 Collect the terms in 19501*u**2 - 9755*u**2 - 9755*u**2. -9*u**2 Collect the terms in -33 + 86*i - 36*i - 35*i. 15*i - 33 Collect the terms in -77 + 77 - 1380*u**3 + 1378*u**3. -2*u**3 Collect the terms in -77*w - 91*w + 269*w - w**2 - 101*w. -w**2 Collect the terms in -993*l + 233*l + 116*l**2 - 113*l**2. 3*l**2 - 760*l Collect the terms in -162 + 47*o + 60 + 39 + 63. 47*o Collect the terms in 1 - 3846*x - 1 - 1382*x. -5228*x Collect the terms in 2 - 2 - 73*m**2 + 127*m**2 - 57*m**2. -3*m**2 Collect the terms in 4*l - 64404722 + 64404722. 4*l Collect the terms in 186*k + 4 - 1338*k + 4. -1152*k + 8 Collect the terms in -4 + 14*c - 5*c + 4 - 20. 9*c - 20 Collect the terms in 313 + 8*x**3 + 68*x**3 - 313. 76*x**3 Collect the terms in 185*g + 87*g + 14*g - 7*g. 279*g Collect the terms in 6*c**3 - 30*c**3 - 155946*c**2 + 155946*c**2. -24*c**3 Collect the terms in -4*w**3 + 2 - 2 + 14*w**2 + 2*w**2 - 18*w. -4*w**3 + 16*w**2 - 18*w Collect the terms in 5*f + 6*f - 6*f - 63 - 225. 5*f - 288 Collect the terms in -14444 - 10*l + 14444. -10*l Collect the terms in 20972*b**2 + 12*b**3 - 20972*b**2. 12*b**3 Collect the terms in -121*c**3 - 4*c**3 + 127*c**3. 2*c**3 Collect the terms in -517*j**3 + 2465*j**3 - 509*j**3 - 396*j**3 - 512*j**3 - 516*j**3. 15*j**3 Collect the terms in 167*b + 37*b**3 - 163*b - 4*b**2 + 24*b**3 - 5*b**3. 56*b**3 - 4*b**2 + 4*b Collect the terms in -14*u**3 + 91*u**2 + 31*u**3 - 95*u**2 + 46*u**3 - 15*u**3. 48*u**3 - 4*u**2 Collect the terms in -8148 - 8147 + 16295 + 87*r. 87*r Collect the terms in -65*m + 413*m - 42*m. 306*m Collect the terms in 20*v + 16*v - v - 63*v + 11*v + 13*v. -4*v Collect the terms in -30521*z**2 + 128*z - 128*z. -30521*z**2 Collect the terms in -705167 - 40*p**3 + 705167. -40*p**3 Collect the terms in -52 - 21*b + 22 + 12 + 18. -21*b Collect the terms in -1022*d**2 - 1050*d**2 + 2060*d**2. -12*d**2 Collect the terms in 210*n**3 + 43*n**3 + 724*n**3 + 174*n**3. 1151*n**3 Collect the terms in -122*n + 484*n - 177*n + 4*n**2 - 185*n. 4*n**2 Collect the terms in -1228*y**2 - 82*y**2 + 71*y**2. -1239*y**2 Collect the terms in -12 - 37*f - 21*f + 33*f + 12. -25*f Collect the terms in d**2 + 387*d + 27*d - 7*d**2. -6*d**2 + 414*d Collect the terms in -7*t - 2 - 7 - 8 + 19. -7*t + 2 Collect the terms in 846 - 3*w - 852 + 7*w - 2*w. 2*w - 6 Collect the terms in -8*g**2 - 40625594*g + 40625594*g. -8*g**2 Collect the terms in 6*s - 42*s - 6 + 4 - 2. -36*s - 4 Collect the terms in 5 - 5 - 252*b + 112*b + 122*b + 3*b**3. 3*b**3 - 18*b Collect the terms in -11662*s - 44 + 11663*s + 44. s Collect the terms in 4*u**3 - 403924*u**2 + 807850*u**2 + 0*u**3 - 403926*u**2. 4*u**3 Collect the terms in -4147 + 8261 - 4114 + 144*z**2 + 44*z**2. 188*z**2 Collect the terms in -2 + 1746*u**2 - 1003*u**2 + 2. 743*u**2 Collect the terms in 1314*i**3 + 1299*i**3 + 1348*i**3 - 3957*i**3. 4*i**3 Collect the terms in 314*m + 220*m**3 - 151*m - 163*m. 220*m**3 Collect the terms in -7*w + 21*w - 16*w - 14. -2*w - 14 Collect the terms in -5780*i**2 + 11696*i**2 - 5899*i**2. 17*i**2 Collect the terms in -966*r**2 - 356*r**2 + 310*r**2. -1012*r**2 Collect the terms in 160*g - 877*g + 277*g - 685*g. -1125*g Collect the terms in 794 - 3*b**2 - 264 - 266 - 264 + 0*b**2. -3*b**2 Collect the terms in -30*c + 10*c + 19*c. -c Collect the terms in 16662686148*y - 15*y**2 - 16662686148*y. -15*y**2 Collect the terms in 47 + 49 - 4*n**3 - 16*n**3 - 96. -20*n**3 Collect the terms in -1403*l + 3*l**2 + 1403*l + 473*l**3. 473*l**3 + 3*l**2 Collect the terms in -377*b**3 + 40*b**3 + 2770*b**3 + 1744*b**3. 4177*b**3 Collect the terms in -b + 3716 - 24*b**2 - 3717 + b. -24*b**2 - 1 Collect the terms in -225*i + 921*i + 1810*i. 2506*i Collect the terms in 3*k**3 - 6*k**3 - 4*k**3 - 10*k**3 + 6*k**3. -11*k**3 Collect the terms in -g**3 + 6*g**3 + 210*g - 4*g**3 - 217*g - 3*g**3. -2*g**3 - 7*g Collect the terms in -65773 + 343*h**2 - 350*h**2 + 65773. -7*h**2 Collect the terms in -198967 - 198965 + 2*t + 596902 - 198970. 2*t Collect the terms in -2116*y + 813*y + 820*y + 484*y. y Collect the terms in -34531 + 17269 + 17262 + 5*i**3. 5*i**3 Collect the terms in -5*p - 126*p**3 - 9*p + 26*p - 12*p. -126*p**3 Collect the terms in -63*h - 42*h**3 + 62*h + 48*h**3. 6*h**3 - h Collect the terms in -570*n**3 - 205*n**3 - 157*n**3. -932*n**3 Collect the terms in 335 - 122 + 57 + 379 + 2*n. 2*n + 649 Collect the terms in 3*o**2 + 9*o**2 - 14*o**2 - 277. -2*o**2 - 277 Collect the terms in 169 + 61*y**2 - 59 + 8. 61*y**2 + 118 Collect the terms in -10365 + 20735 - 10370 + g**2. g**2 Collect the terms in -583 + 283 + 302 + 16*j. 16*j + 2 Collect the terms in -5*y + 4*y + 22*y - 3*y + 28. 18*y + 28 Collect the terms in 84*s - 84*s + 3110*s**3. 3110*s**3 Collect the terms in -16*v**2 + 57 - 128 + 14*v + 38. -16*v**2 + 14*v - 33 Collect the terms in -390474743*k**2 - 2*k**3 + 390474743*k**2 + 0*k + 0*k. -2*k**3 Collect the terms in -13350*h + 26709*h - 13355*h. 4*h Collect the terms in 1374*m - 159 - 1408*m + 161. -34*m + 2 Collect the terms in 601*r + 1818*r - 5 + 6 + 0. 2419*r + 1 Collect the terms in 0 + 13*u**2 - 2 - 1 - 3*u**3 + 2*u**3. -u**3 + 13*u**2 - 3 Collect the terms in -w**2 - 115*w**3 - 4*w - 95*w**3 + w**2. -210*w**3 - 4*w Collect the terms in -58 + 4 + 40*f**2 + 112 - 58. 40*f**2 Collect the terms in -196*y + 134*y + 57*y + 4*y. -y Collect the terms in 0 - 3 + 6 - 3*g + 6 + 5*g. 2*g + 9 Collect the terms in 1018*v - 1990*v - 2659*v. -3631*v Collect the terms in -20*o + 11*o + 6*o + 3*o + 9*o. 9*o Collect the terms in -2*n**2 + 1017*n**3 - n**2 - 6*n**2 + 9*n**2. 1017*n**3 Collect the terms in -2 - 4 + 136*h**2 - 113*h**2. 23*h**2 - 6 Collect the terms in 29*o**3 + 5*o**3 - 12*o**3. 22*o**3 Collect the terms in 4151 - 12494 - d + 4164 + 4179. -d Collect the terms in 2 - 10778*c**2 + 10781*c**2 + 74. 3*c**2 + 76 Collect the terms in -231 + 231 + 4*x**3 + 7*x**3 - 6*x**3. 5*x**3 Collect the terms in 73*o**2 + 29*o**2 + 18*o**2 - 200*o**2 + 3*o**2. -77*o**2 Collect the terms in 7405 - 271*o - 7405. -271*o Collect the terms in -50*t + 11 + 17 - 34 + 6. -50*t Collect the terms in 112951*j - 56164*j - 56786*j. j Collect the terms in 4310*k**3 + 442 - 442. 4310*k**3 Collect the terms in 3 + 4 + 16*z**3 - 17 + 10. 16*z**3 Collect the terms in 0*g**3 - 5690 - 2*g**3 + 8*g**3 + 5690 - 3*g**3. 3*g**3 Collect the terms in -511 + 511 - 239*y. -239*y Collect the terms in 206879*t**2 + 206872*t**2 + 206881*t**2 - 620633*t**2. -t**2 Collect the terms in 5714 - 2828 - 2886 + 3*s. 3*s Collect the te
{ "pile_set_name": "DM Mathematics" }
et a(z) = z**2 + 6*z - 1. Let f be a(-6). Let k = f - -81. What is the highest common factor of k and 10? 10 Let s be (91/14)/(2/8). Suppose -86 - s = -2*g. Let y = g - 40. Calculate the greatest common divisor of 4 and y. 4 Suppose -5*d - 2*i + 6 = 0, d - 15 = 4*d - 5*i. Suppose 0 = -2*z + 2*y - d*y + 158, 2*y + 233 = 3*z. What is the highest common divisor of 15 and z? 15 Let v = 12 - -6. Calculate the greatest common divisor of 30 and v. 6 Let z(a) = -2*a**2 + 23*a - 2. Let q be z(11). What is the highest common factor of q and 144? 9 Suppose -x + 61 = -v, 2*v + 9 - 1 = 0. Let q be (-1)/(-2) + (-148)/(-8). What is the greatest common factor of x and q? 19 Let j = -36 + 76. Let v(h) = -h**3 + 6*h**2 + 6*h. Let d be v(7). Let w be (d + 1)*12/(-9). Calculate the greatest common divisor of w and j. 8 Let c = -93 + 131. What is the greatest common divisor of 266 and c? 38 Suppose t = -2*f + 11, -f + 23 = 4*f + t. Let z(n) = 12*n + 2. Let y be z(f). Calculate the highest common factor of y and 20. 10 Let z = 256 - 157. Suppose 3*v + 0*v + 3*m - z = 0, 0 = -m + 5. What is the highest common divisor of v and 7? 7 Let f be 2/(-6) + (-1298)/(-6). Calculate the greatest common divisor of f and 24. 24 Suppose c + c - 4*d = 260, 514 = 4*c - 5*d. What is the highest common factor of 42 and c? 42 Let w be 2/3*594/4. What is the greatest common divisor of 11 and w? 11 Let o(r) = -r**2 - 33*r - 7. Let q be o(-24). What is the greatest common factor of q and 19? 19 Suppose 0*u + 125 = -5*u. Let c = 43 + u. Calculate the highest common divisor of c and 6. 6 Let w be -1 + (-356)/(-5) - 1/5. Calculate the highest common divisor of w and 35. 35 Let k(y) = 21*y**3 - y**2 + 1. Let i be k(2). Calculate the greatest common divisor of 15 and i. 15 Suppose 1156 - 16 = 6*i. What is the greatest common factor of i and 10? 10 Let k = 23 - 18. What is the highest common divisor of k and 5? 5 Suppose 5*h - 9 - 6 = 0. Suppose 2 = 5*b - 8, h*b = -3*q + 15. Suppose -o = -2*v + 9, -v - 2 = -2*v + q*o. What is the greatest common factor of v and 15? 5 Let w be -1*4*154/(-88). Calculate the highest common factor of 63 and w. 7 Suppose 2*b = 3*k + 34 + 10, 2*k = -b + 36. What is the highest common divisor of 7 and b? 7 Suppose y + 1 = 2*y. Let g = 4 - y. Suppose -j = -g*p - 34 + 7, -j + 27 = 4*p. Calculate the highest common divisor of j and 3. 3 Let c(v) = v**2 + 7*v + 10. Let m be c(-10). Suppose -7*d + 2*d - 15 = 0. Let t be (-16)/d*(6 - 3). Calculate the greatest common divisor of t and m. 8 Let l = 68 - 8. What is the highest common factor of 20 and l? 20 Let u be (-7)/((24/(-36))/(0 - -2)). What is the highest common factor of u and 6? 3 Let a be (-92)/(-22) + (-6)/33. Suppose a*u - u = 0. Suppose 3*q - 2*d = 41, u*q = -5*q - 2*d + 63. Calculate the greatest common factor of q and 52. 13 Let o = -6 + 11. Suppose -5*s + 85 = -o*u, -5*s + 51 = 4*u - 16. Let b be 15/1*(13 - 2). What is the greatest common factor of s and b? 15 Suppose 4*t + g = 2*t + 30, 5*t = 2*g + 75. Let l be ((-6)/t)/(1/(-5)). Let p be l/(-4)*2*-9. Calculate the greatest common divisor of p and 27. 9 Let b(g) = -g**2 - 5*g - 1. Let t be b(-2). Let m(i) = -5*i + 10. Let q be m(-5). What is the greatest common factor of t and q? 5 Suppose 160 = 8*w - 4*w. Suppose 5*n = -0*n + w. Calculate the highest common factor of n and 40. 8 Let a be 5*(2 - 21/(-15)). What is the highest common divisor of 17 and a? 17 Let h = 1 - 1. Suppose -m + 3*m - 8 = h. Let k = 5 - 4. Calculate the highest common factor of k and m. 1 Suppose -2*c + 15 + 3 = 0. Let r = -1 + 3. Let l(k) = 10*k**2 + 4*k - 3. Let h be l(r). Calculate the highest common factor of c and h. 9 Let f(z) = z**3 - 8*z**2 + 0*z**3 - 3 - z + 13*z**2 + 0*z**3. Let l be f(-5). Calculate the highest common factor of l and 5. 1 Suppose -3 + 0 = -3*v. Suppose -9 = -2*o + v. Let h be (25 - (0 + 0))*1. Calculate the greatest common factor of o and h. 5 Suppose -66 - 51 = -3*j. Suppose 5*z - 31 - j = 0. What is the highest common divisor of z and 14? 14 Let z(r) = r + 6. Let t be z(-5). What is the highest common factor of t and 1? 1 Let n = 10 - -16. Calculate the highest common divisor of n and 39. 13 Let v = 32 + -31. What is the highest common factor of 1 and v? 1 Suppose 4*x = 3*h + 126, 2*x - 92 = -x + h. Suppose -3*l = -j + 114, -3*j = -8*j + 3*l + 522. Let n = j + -57. What is the greatest common divisor of x and n? 15 Suppose 4*y - 5 - 3 = 3*r, -4*r = -2*y - 6. Suppose 0 = 4*v + r*i - 3 + 7, 3 = 2*v + i. Let x be -5*16/10*-3. Calculate the greatest common divisor of v and x. 4 Suppose 0 = -6*u + 5*u + 45. What is the greatest common factor of 30 and u? 15 Suppose -7 = y - 0*y - 2*t, -4*y + t + 7 = 0. Suppose o + 14 = y*a, 5*a - a - 15 = 5*o. Calculate the greatest common factor of o and 1. 1 Suppose 4*f = -0*f + 4. Suppose -2*r + 5 = f. Suppose 3*w - 86 = -5*u - 0*w, -u + 4*w + 8 = 0. What is the highest common divisor of u and r? 2 Let p = 8 + -7. Suppose -q + p = -5. Calculate the highest common divisor of 6 and q. 6 Suppose 6*c - 172 - 188 = 0. Calculate the highest common divisor of c and 12. 12 Suppose -5*t + 0*t = -180. Let k = -24 + t. Let h be 11 + (-1 - -2) + 0. What is the highest common factor of k and h? 12 Suppose -x - 71 = -86. Calculate the greatest common divisor of 5 and x. 5 Let f(c) = 34*c - 1. Let u be f(-2). Let h = u - -101. Let j be 2/4 + 62/4. Calculate the highest common factor of h and j. 16 Let w = -5 + 8. Suppose -4*l + 15 + 9 = 0. What is the highest common divisor of l and w? 3 Let a = 93 - 60. What is the greatest common divisor of a and 231? 33 Let y(v) = v - 5. Let r be y(5). Suppose r = z + 3*z - 120. What is the greatest common factor of 12 and z? 6 Suppose d = 3*a + 22, -3*a = 4*d - 3*d - 46. Let x be (1 - -9)/(-5) - -87. Calculate the greatest common divisor of x and d. 17 Suppose m - 82 = -5*w + 4*w, -3*m = -3*w - 234. What is the highest common factor of m and 32? 16 Suppose -5*x = 3*x - 240. What is the highest common factor of 10 and x? 10 Suppose 1365 = 20*a - 5*a. Calculate the greatest common divisor of a and 7. 7 Let l = 136 + -66. Suppose 4*a - 50 = 34. Let s = a + -11. Calculate the highest common factor of l and s. 10 Suppose w - 248 = 2*q, -5*w - 2*q = -10*w + 1224. Let g = -108 + w. Let x be 30/12 + ((-435)/6)/(-5). Calculate the greatest common divisor of x and g. 17 Suppose f = -2*f + 6. Let b be 5/2 - 1/(-2). Suppose 5*l - 2*j - f = 2*l, -b*l = -j - 7. Calculate the greatest common factor of l and 8. 4 Let q = -39 - -58. Let p = q - -2. Suppose 0 = -2*b + 33 - 5. Calculate the greatest common factor of p and b. 7 Let w = -82 - -106. Calculate the highest common divisor of 168 and w. 24 Let v be (-12)/15*(-60)/8. Suppose l - k - 21 = 0, -2*l - 114 = -v*l - 2*k. Suppose -5*t + l = -54. Calculate the highest common divisor of 32 and t. 16 Let a = 10 + 8. Suppose 3*y = -35 + 251. What is the greatest common divisor of a and y? 18 Let v = 26 + 37. Calculate the highest common factor of v and 7. 7 Suppose n - 1 + 5 = 0, 4*t = -2*n + 56. What is the highest common divisor of t and 24? 8 Let t = -22 + 54. Let n = 26 - 22. Calculate the highest common divisor of t and n. 4 Suppose 16*o + 14 - 110 = 0. What is the highest common divisor of 114 and o? 6 Suppose 3*z - 6*z - 3*c - 57 = 0, -5*z - 2*c - 80 = 0. Let b(j) = -39*j + 1. Let s be b(1). Let v = z - s. Calculate the highest common factor of v and 3. 3 Let d(g) = g**3 + 10*g**2 + g + 14. Let r be d(-10). Suppose c + 2*n - 1 - 22 = 0, -3*c - r*n + 61 = 0. Calculate the greatest common divisor of c and 10. 5 Let k = -4 - -7. Let o(l) = -l**2 + 10*l - 9. Let p be o(7). Suppose 2*x - 4*g - 2 - p = 0, g - 49 = -3*x. What is the highest common factor of x and k? 3 Let q(z) = -z**3 - 18*z**2 - z - 29. Let d be q(-19). What is the highest common factor of d and 39? 39 Let n(j) = j**2 + 7*j - 6. Let r be n(-9). What is the greatest common factor of r and 4? 4 Suppose -28 = -3*j - 2*h, -6*h + 2*h = 2*j - 8. Let i(g) = 20*g - 8. Let w be i(7). Calculate the greatest common factor of w and j. 12 Suppose 7*n - 40 = 3*n. Let o(b) = b**2 - 7*b - 5. Let i be o(8). Suppose i*x = x + 60. Calculate the highest common divisor of n and x. 10 Suppose 2*m - 5*l = -3*m + 100, 4*m + 2
{ "pile_set_name": "DM Mathematics" }
l a multiple of 3? True Suppose 3*n + 2*y - 510 = 0, 2*n = -2*y + 90 + 250. Is 85 a factor of n? True Is 57 a factor of (-240576)/(-105) + 4/5? False Let a(i) = i**3 + 22*i**2 - 24*i - 19. Let u be a(-23). Does 21 divide ((-66)/5 + 2)*(-30)/u? True Let d(m) = -87*m - 311. Is 10 a factor of d(-20)? False Suppose 8 = 3*t - 1. Suppose -5*n = -4*j + 182, -7 = -4*j + t*n + 171. Is j a multiple of 4? False Suppose 5*f - 3*f - 1155 = 3*h, -1179 = -2*f - 5*h. Is 6 a factor of f? True Let t be -3 - -5 - (-155)/1. Suppose -5*z = -3*c + t, 4*z - 134 = -2*c - 0*z. Is c a multiple of 16? False Suppose -5*d = -9*d - 3*c + 69, -4*d + 2*c + 94 = 0. Let f(w) = w**2 - 15*w - 26. Is 32 a factor of f(d)? False Suppose -4*w = -6*w + 24. Suppose 0 = b - 36 + w. Is 11 a factor of b? False Let k(g) = 0*g - 1 + 2*g + 2. Let r be -354*8/(-400) - 12/150. Does 5 divide k(r)? True Does 3 divide (-287 + -1)*(74 + -75)? True Let z be 6/15 - 4/10. Suppose -4*s - 58 = -3*t, 5*t - 4*s - 110 = -z*t. Does 4 divide t? False Suppose s = -11 + 14. Suppose f + s*m = -m + 169, 5*f - 757 = 2*m. Is 31 a factor of f? False Suppose -5*m = -0*m - 2*t - 30, -3 = 3*m + 3*t. Suppose 0 = m*n - 3*j + 2*j - 22, n = j + 7. Is n even? False Let a = 1162 + -624. Is 13 a factor of a? False Let o = 386 + -172. Is o a multiple of 21? False Suppose -42248 + 10172 = -99*t. Is 36 a factor of t? True Let w = 60 - 55. Suppose 16 = 3*z - w. Is 7 a factor of z? True Let j be (-516)/18 + 4/6. Let t be (j/3)/((-12)/18). Suppose t*b = 9*b + 135. Is b a multiple of 9? True Let i(h) be the third derivative of -7*h**4/6 + h**3/3 - 9*h**2. Is i(-1) a multiple of 19? False Let h(c) = 2*c**3 + c**2 - 25*c + 76. Does 40 divide h(7)? False Let w = -119 - -243. Is w a multiple of 7? False Let u(v) = -v**3 + 31*v**2 - 76*v - 40. Does 8 divide u(28)? True Let s = 113 - 88. Let h = s + 387. Does 47 divide h? False Let b(h) = 2*h**3 - 3*h**2 + 3*h - 5. Let z be b(2). Let y(m) = m**3 - 7*m - 5. Is 22 a factor of y(z)? False Let o = -164 + 115. Let t = 57 + o. Is t even? True Let x(d) be the second derivative of d**5/20 + d**4/6 - d**3/3 + 4*d. Let p be x(-3). Is (12/8)/p*-60 a multiple of 17? False Let t = 18 + -16. Suppose 3*g = 2*s - 36, -80 = -5*s + 3*g + t*g. Does 15 divide 8/s*(-102)/(-4)? False Let c be 6/10 + 14/10. Suppose -8*x + 17*x = 1602. Suppose -i + 2*s + x = c*i, 5*i = 2*s + 302. Is 17 a factor of i? False Is ((-37)/2)/((-8 - -3)/90) a multiple of 24? False Let w(l) be the first derivative of -l**4/4 - 8*l**3/3 + 3*l**2 + 4*l - 23. Does 3 divide w(-9)? False Let j(i) = -i**3 + 14*i**2 - 5*i + 14. Let x be j(13). Let d = -207 + x. Let w = -62 - d. Is 14 a factor of w? False Suppose -4*m = -8*m - 8. Let h be 34*m*(-2)/8. Let v = 35 - h. Is 6 a factor of v? True Let p(z) = 15*z - 8. Let q(u) = -63*u + 25. Let y(j) = -31*j + 13. Let o(b) = -2*q(b) + 5*y(b). Let s(r) = -6*o(r) - 11*p(r). Does 10 divide s(4)? False Suppose 0 = 4*h - 6 + 2. Is 12 a factor of (-1)/(-1)*h*59? False Suppose -2*y - 3 - 3 = 0. Let z be 0/(4*(y - -2)). Suppose z = 7*i - 2*i - 340. Is 19 a factor of i? False Let z = 56 + -53. Is z/(-5) + 11*(-36)/(-10) a multiple of 7? False Let l be 26 + -3 + -1 - -2. Let z(j) = 33 + 2*j - l + 20. Is z(-9) a multiple of 3? False Let w = 94 - 192. Let g be (w/28)/(1/4). Is ((-7)/g)/(1/106) a multiple of 21? False Let i(j) = 3*j + 17. Let w be i(-5). Suppose 124 = -0*l + l + 5*p, 0 = 2*l - w*p - 200. Is 22 a factor of l? False Let f(n) be the third derivative of 11/6*n**3 + 0*n + n**2 + 0 - 1/24*n**4. Is 2 a factor of f(9)? True Suppose 5*j + 2 = -4*d + 4*j, 3*j = -d - 6. Let x be d/((-3)/(9/(-6))). Suppose x = -4*o + 36 + 36. Is 13 a factor of o? False Let k(p) = -p**2 - 13*p + 4. Let z be k(-12). Is z/(-3)*12/(-16)*10 a multiple of 20? True Suppose 7*m - 5*m - 10 = 0. Suppose 1101 = m*s - 2*l, l = -4*s - 2*l + 890. Is s a multiple of 23? False Is 7 a factor of (-35 - -33) + 354/2? True Let g = -458 + 780. Suppose 4*v + 2*r = -0*v + g, -r = -5. Does 9 divide v? False Let j be 47/3*(6 + -3). Let x = j + -31. Is 27 a factor of (-24)/x*94/(-3)? False Suppose -2*p - 8 = 0, f = 5*p + 2 + 15. Let c be f/(6/(-5))*-2. Let x(w) = -w + 7. Is 4 a factor of x(c)? True Let q(s) = -s**3 + 7*s**2 + 4. Let v = 38 + -60. Let d be (-128)/v - (-10)/55. Is q(d) a multiple of 10? True Let o(u) = 6*u + 8. Let t = -19 - -25. Is o(t) a multiple of 22? True Suppose 38*v - 33*v = 1480. Does 12 divide v? False Let c be 6/(-33) - 35/(-11). Is 21 a factor of 4*21 - (-3 + c)? True Suppose 4*y = -5*x + 27 - 5, -2 = 2*x - 2*y. Suppose -1 = -i + x. Does 6 divide 76*1/12*i? False Suppose -24*h = -28*h - 8. Let j be 0*(h - 12/(-8)). Does 12 divide (-96)/(2/(-1)) + j? True Let o(c) be the third derivative of c**6/60 - c**5/10 + c**4/24 + 7*c**3/6 + 3*c**2. Is o(4) a multiple of 5? False Let g(s) be the third derivative of s**4/24 + 7*s**3/2 - 2*s**2. Suppose -3*d + 0*d - 43 = -4*b, 5*d + 53 = 2*b. Is g(d) a multiple of 6? True Suppose 0*t = -2*t + 244. Suppose 7*v - 9*v = -t. Suppose -v = -4*u + 3. Is 4 a factor of u? True Suppose 8362 = 106*f - 71456. Is 11 a factor of f? False Let n = -4 + 12. Suppose -n*v + 55 = -7*v. Does 7 divide v? False Suppose 13602 - 43610 = -31*x. Is 22 a factor of x? True Suppose -a - a - 4 = v, 3*a + 7 = -v. Let r = -708 + 728. Suppose r + 94 = v*k. Is k a multiple of 12? False Let v be ((-4)/(-3))/((-14)/21). Is 20 a factor of 4 + -5 - 138/v - 1? False Let z = -805 + 2713. Does 48 divide z? False Let p(l) = -l + 5. Let u(q) = -q + 1. Let y(x) = p(x) - 2*u(x). Let z = 41 - 37. Is y(z) a multiple of 7? True Let h = -6 + 11. Suppose -2*g - g = -h*z - 32, -g + z + 12 = 0. Is 6 a factor of g? False Suppose -5145 = -4*j + 4*n - 1817, 0 = 4*j + 4*n - 3296. Is 36 a factor of j? True Let q = 151 + -78. Suppose -2*d = -q - 61. Is d a multiple of 20? False Suppose 2*i + 4 = 2*h, -h - 3 + 1 = -3*i. Suppose 5*q = h*q + 1. Is 12 a factor of (-2)/(q - -1) + 61? True Let z = -4 - -6. Suppose z*h = -2*k - 48, 5*k + 90 = -h + 2*h. Let m = k + 24. Is 2 a factor of m? False Suppose -14*o + 14544 = 2*o. Is 45 a factor of o? False Let d(q) = -q. Let f(r) = -10*r. Let g(p) = -6*d(p) + f(p). Let m be g(-2). Does 14 divide (28/m)/(2/8)? True Let q(a) = -a**3 + 4*a**2 + 5*a + 5. Let z(g) = -g**2 + 17*g - 11. Let j be z(16). Let x be q(j). Suppose x = -2*v + 3*v. Is v a multiple of 3? False Let r(u) = 71*u**2 + 36*u + 153. Does 14 divide r(-4)? False Let j(o) = 4*o**2 + 87*o - 1. Is 27 a factor of j(-25)? True Suppose s - 210 = 882. Suppose 0 = 3*q + q + h - 1100, -4*q + s = 3*h. Does 46 divide q? True Suppose 3*o - 1991 + 647 = 0. Suppose -3*t - 56 = 5*l - 390, 0 = -4*t - 4*l + o. Let k = 196 - t. Is 14 a factor of k? False Let u = -293 - -671. Is 7 a factor of u? True Let o(q) = 114*q - q**2 + 488 - 497 - 101*q. Let c(b) = -b**2 - 5*b + 3. Let j be c(-4). Is o(j) a multiple of 33? True Let w be (3/(-9))/((-4)/(-24)). Does 26 divide (5 - (-1)/5)*(-50)/w? True Suppose -8*c + 3*c = 0. Suppose -5*l + 20 + 115 = c. Does 27 divide l? True Let y(s) = 3*s**2 + 3*s - 1. Let a(j) = j**2 + 6*j - 4. Let r be a(-7). Does 7 divide y(r)? True Let d(m) be the third derivative of -3*m**4/8 - 7*m**3/6 - 4*m**2. Is d(-10) a multiple of 17? False Suppose 0 = -19*g + 23*g + 28. Does 4 divide (g*7/(-49))/(1/44)? True Let n = 37 + 11. Is 25/4 + (-12)/n a multiple of 2? True Is 20 a factor of (-1562 - -2)/((-15)/10)? True Let y be (2/(-5))/(32/(-560)). Let k = y + 107. Does 19 divide k? True Let r = 24 + 80. Is 6 a factor of r? False Is 3 a factor of 2/(-9) - 3770/(-117)? False Let o(b) = 14*b + 25 - 6*b + 17 + 8*b. Is 17 a factor of o(9)? False Suppose -2*g - g = -168. Let i = g + -30. Suppose 3*n + 4*s = 67, 3*s - i = -n - 2*s. Does 10 divide n? False Let u(d) = 2*d**2 - 2*d + 8. Let s(f) = 3*f**2 - 3*f + 8. Let h(w) = 3*s(w) - 4*u(w). Is h(-4) a multiple of 4? True Suppose 7*f - 2*f = -25. Let o(p) = p + 12. Let v be o(f). Let r(x) = 2*x - 8. Does 5 divide r(v)? False Let i(n) = n + 15. Let t be i(15). Let p = t + -24. Suppose -p*m - 77 = -7*m. Is 11 a factor of m? True Let p = 167 + -47. Is 7 a factor of p? False Let f(a) = 17*a**2 - 17*a - 30. Is 16 a factor of f(-5)? True Let a(k) = -9*k**3 - 9*k**2 + 15*k. Let p(i) = -5*i**3 - 5*i**2 + 8*i. Let h(
{ "pile_set_name": "DM Mathematics" }
oottokokkoook? 21/715 What is prob of sequence iii when three letters picked without replacement from illliiilliililii? 3/20 Two letters picked without replacement from {x: 1, l: 4, q: 1, r: 1, j: 1, t: 4}. Give prob of sequence xt. 1/33 Calculate prob of sequence pvv when three letters picked without replacement from {v: 5, p: 11}. 11/168 Four letters picked without replacement from {e: 3, r: 3, g: 5, d: 1, h: 1, y: 4}. Give prob of sequence yrrd. 1/2380 Calculate prob of sequence ef when two letters picked without replacement from feofevfeofe. 8/55 Three letters picked without replacement from {i: 1, y: 2, v: 1, b: 1, e: 2}. Give prob of sequence eei. 1/105 Two letters picked without replacement from yldpydyldnyycly. Give prob of sequence nl. 1/70 What is prob of sequence umup when four letters picked without replacement from {u: 3, p: 10, h: 2, k: 1, m: 3}? 5/2584 Calculate prob of sequence oo when two letters picked without replacement from {o: 14, m: 4}. 91/153 What is prob of sequence qj when two letters picked without replacement from zqqqzqqqqj? 7/90 What is prob of sequence frfr when four letters picked without replacement from {r: 10, f: 2, l: 3, y: 5}? 1/646 What is prob of sequence nn when two letters picked without replacement from nduqlnlnlulndn? 10/91 Four letters picked without replacement from {h: 5, f: 2, u: 3, n: 6, c: 2}. Give prob of sequence huch. 1/612 Three letters picked without replacement from {l: 1, g: 1, a: 18}. Give prob of sequence agl. 1/380 Three letters picked without replacement from pjojoooj. What is prob of sequence jjo? 1/14 Two letters picked without replacement from hvmlhlhgfmlll. Give prob of sequence vh. 1/52 Four letters picked without replacement from {j: 1, r: 2, m: 4, b: 9, t: 4}. What is prob of sequence rbmb? 8/1615 Three letters picked without replacement from {c: 1, d: 1, m: 10, l: 1, p: 1}. Give prob of sequence pdc. 1/2184 Four letters picked without replacement from iaxirarairiai. Give prob of sequence iiix. 1/286 What is prob of sequence jjvj when four letters picked without replacement from {j: 4, v: 1, n: 1, l: 4}? 1/210 Two letters picked without replacement from bbffq. What is prob of sequence bb? 1/10 Two letters picked without replacement from kkkkkkkkffkkkfk. What is prob of sequence kf? 6/35 Three letters picked without replacement from cccccccccccccccecc. Give prob of sequence ccc. 5/6 Calculate prob of sequence yy when two letters picked without replacement from {y: 2, f: 10}. 1/66 Two letters picked without replacement from wjjjvvsvvvvw. What is prob of sequence sw? 1/66 Two letters picked without replacement from {z: 2, e: 7}. Give prob of sequence ze. 7/36 Three letters picked without replacement from evnbbenve. What is prob of sequence vev? 1/84 What is prob of sequence ws when two letters picked without replacement from {p: 2, t: 1, w: 11, f: 3, s: 1}? 11/306 Two letters picked without replacement from hbhrrhbbhrjbrbjj. Give prob of sequence rj. 1/20 What is prob of sequence iil when three letters picked without replacement from twilibtltl? 1/120 Calculate prob of sequence hchb when four letters picked without replacement from {c: 3, h: 13, b: 4}. 26/1615 What is prob of sequence gv when two letters picked without replacement from qggjvgj? 1/14 What is prob of sequence nr when two letters picked without replacement from {n: 5, j: 1, h: 5, r: 2, g: 1, f: 2}? 1/24 Calculate prob of sequence qq when two letters picked without replacement from pqppqpppppppp. 1/78 Three letters picked without replacement from {b: 6, d: 2}. Give prob of sequence bbd. 5/28 Calculate prob of sequence ci when two letters picked without replacement from {r: 1, c: 1, i: 2, s: 1, b: 2}. 1/21 Calculate prob of sequence ee when two letters picked without replacement from {e: 2, y: 3, z: 8, i: 7}. 1/190 Three letters picked without replacement from iaipuiuiiapa. Give prob of sequence ppu. 1/330 Three letters picked without replacement from {o: 16, f: 4}. What is prob of sequence foo? 8/57 Four letters picked without replacement from {q: 1, z: 1, v: 1, x: 2, u: 5, l: 3}. Give prob of sequence lqvz. 1/5720 Calculate prob of sequence ckwk when four letters picked without replacement from wwwwcwwwwwwwkwwwk. 1/2040 Two letters picked without replacement from {s: 2, y: 5}. What is prob of sequence yy? 10/21 Calculate prob of sequence uo when two letters picked without replacement from {y: 6, z: 7, u: 1, o: 5}. 5/342 Four letters picked without replacement from czznzxxznzzzz. What is prob of sequence xzzz? 28/715 Calculate prob of sequence ehh when three letters picked without replacement from {h: 3, e: 4, y: 4, d: 6}. 1/170 What is prob of sequence vovv when four letters picked without replacement from vvdvyyvhohlddho? 2/1365 Three letters picked without replacement from {z: 7, h: 4, v: 2, m: 1, o: 4}. What is prob of sequence oov? 1/204 What is prob of sequence ssab when four letters picked without replacement from ajsjjjscccb? 1/3960 Calculate prob of sequence js when two letters picked without replacement from pspipijijip. 1/55 Four letters picked without replacement from {b: 4, p: 5, i: 2, q: 2, e: 2, u: 4}. Give prob of sequence bqqe. 1/5814 Four letters picked without replacement from {c: 1, w: 2, e: 2, s: 4, m: 2, u: 1}. Give prob of sequence cwee. 1/2970 Four letters picked without replacement from wkwfwwwwflkklfkwwwf. What is prob of sequence kfll? 1/2907 Calculate prob of sequence sp when two letters picked without replacement from {s: 17, p: 2}. 17/171 Calculate prob of sequence ccbc when four letters picked without replacement from {b: 2, c: 3}. 1/10 Two letters picked without replacement from lellel. Give prob of sequence ll. 2/5 Four letters picked without replacement from {f: 3, u: 1, z: 5, l: 6}. Give prob of sequence zfzz. 1/182 Calculate prob of sequence iir when three letters picked without replacement from ikfnrfi. 1/105 What is prob of sequence ipp when three letters picked without replacement from iiiipiipii? 1/45 Two letters picked without replacement from azpzaaaaaaajaazjaaa. What is prob of sequence zj? 1/57 Four letters picked without replacement from wtttwntss. Give prob of sequence wwns. 1/756 What is prob of sequence cr when two letters picked without replacement from {q: 6, d: 1, r: 5, x: 3, c: 5}? 5/76 Two letters picked without replacement from jjxxxcxjxcjc. What is prob of sequence xj? 5/33 Four letters picked without replacement from {n: 3, t: 8, s: 1, l: 1, k: 1, h: 2}. What is prob of sequence lkhs? 1/21840 Three letters picked without replacement from {e: 9, r: 10}. What is prob of sequence eer? 40/323 Two letters picked without replacement from {l: 1, q: 1, n: 1, t: 11, i: 6}. What is prob of sequence tn? 11/380 Calculate prob of sequence sg when two letters picked without replacement from {g: 15, s: 3}. 5/34 Three letters picked without replacement from {o: 5, n: 9}. What is prob of sequence ooo? 5/182 What is prob of sequence ee when two letters picked without replacement from {v: 2, e: 9, f: 5}? 3/10 Three letters picked without replacement from uhocu. Give prob of sequence huc. 1/30 Two letters picked without replacement from {g: 4, h: 2, u: 12, a: 1}. What is prob of sequence uh? 4/57 Four letters picked without replacement from {n: 3, y: 3, s: 2}. Give prob of sequence yssn. 3/280 Two letters picked without replacement from {a: 3, q: 6, h: 3, j: 1}. Give prob of sequence hj. 1/52 What is prob of sequence jx when two letters picked without replacement from {x: 3, j: 1, e: 4}? 3/56 Four letters picked without replacement from {j: 1, e: 3, h: 13}. What is prob of sequence heje? 13/9520 Four letters picked without replacement from {m: 2, v: 4, a: 6}. Give prob of sequence avma. 2/99 Calculate prob of sequence gzww when four letters picked without replacement from gwuuugwwouuuzuzggggw. 2/1615 Calculate prob of sequence zeie when four letters picked without replacement from iieiaeaaaezziizia. 9/4760 Calculate prob of sequence aa when two letters picked without replacement from {a: 3}. 1 What is prob of sequence bb when two letters picked without replacement from bpppb? 1/10 What is prob of sequence fhfi when four letters picked without replacement from iihiiihihiihfxfhhi
{ "pile_set_name": "DM Mathematics" }
vative of -2*i**5/5 - i**4/6 + 3*i. What is the third derivative of t(s) wrt s? -48 What is the third derivative of -13*t**2 - 4*t**4 + 11*t**4 + 16*t**2 wrt t? 168*t Let x(v) be the third derivative of -v**8/336 + v**5/15 + 6*v**2. Find the third derivative of x(u) wrt u. -60*u**2 Let o(i) be the second derivative of i**7/140 + i**6/36 - i**3/2 + 5*i. Let h(z) be the second derivative of o(z). Find the third derivative of h(v) wrt v. 36 Let r(x) be the third derivative of 0*x**5 + 0*x**4 + 1/60*x**6 + 0*x + 2*x**2 + 0 - 3/2*x**3. Find the first derivative of r(h) wrt h. 6*h**2 Let u(m) be the first derivative of 0*m - 1/3*m**3 - 4 + 2*m**2. What is the second derivative of u(t) wrt t? -2 Let v(d) be the second derivative of -3*d + 0*d**5 + 0*d**2 + 0*d**3 + 0 - 2/15*d**6 + 1/12*d**4. Find the third derivative of v(c) wrt c. -96*c Suppose 7*t - 5 = 2*t. Find the second derivative of i**5 - t + 1 - 2*i + 0*i**5 wrt i. 20*i**3 Let r(s) be the first derivative of -s**2 - 13*s + 16. Differentiate r(m) wrt m. -2 Find the third derivative of -3*r**3 - 137*r + 20*r**2 - 6*r**3 + 137*r wrt r. -54 Let o(z) be the first derivative of -z**6/6 + 7*z**2/2 - 1. What is the second derivative of o(b) wrt b? -20*b**3 Let s(f) = -11*f**3 - 10*f**2 - 2. Let l(v) = -45*v**3 - 40*v**2 - 9. Let k(q) = 2*l(q) - 9*s(q). What is the third derivative of k(h) wrt h? 54 Let d(x) be the first derivative of 17*x**6/3 + x**2/2 + 9*x - 56. Find the second derivative of d(b) wrt b. 680*b**3 Let k(m) be the second derivative of -m**6/240 + m**5/40 + m**4/4 + 4*m. Let i(z) be the third derivative of k(z). Differentiate i(w) wrt w. -3 What is the second derivative of 11*r**2 + 8*r**2 - 33*r + 9*r**2 + r**2 wrt r? 58 Let i(c) be the third derivative of -c**8/84 + c**4/3 - 2*c**2. What is the second derivative of i(r) wrt r? -80*r**3 Suppose 5*f - 4*h - 21 - 9 = 0, 2*f = -2*h - 6. What is the second derivative of -7*q + 4*q**f - q - 4*q**2 + q**3 wrt q? 6*q Let k(v) = -33*v - 21. Let s(c) = -17*c - 11. Let t(j) = 3*k(j) - 5*s(j). Differentiate t(z) wrt z. -14 Let r = 2 - -2. What is the third derivative of -n**6 + 8*n**2 + 6*n**2 - 9*n**2 + r*n**6 wrt n? 360*n**3 Suppose 1 + 3 = 2*c. Find the second derivative of -5*x + 6*x - x**c + 0*x + 2*x wrt x. -2 Let m(g) be the second derivative of 0 + 0*g**3 - 4*g + 7/20*g**5 + 0*g**2 + 1/2*g**4. Find the third derivative of m(s) wrt s. 42 Let g be 0 - (-2 + 1 - 1). What is the second derivative of 7 + j - 7 - j**2 + 2*j**g wrt j? 2 Let g(x) = -2*x**2 - 3*x + 6. Suppose 17 = -2*d + 3*d. Let m(n) = -6*n**2 - 9*n + 17. Let l(s) = d*g(s) - 6*m(s). Find the second derivative of l(i) wrt i. 4 Let f be (3 - 0)/12*2. Let c(n) be the third derivative of 0*n + 0 - 1/12*n**4 + 2*n**2 + f*n**3. What is the derivative of c(t) wrt t? -2 Let x be 75/(-10)*8/(-10). Let s be (-6)/(-2) - (-2 - -3). What is the third derivative of -s*j**2 + 5*j**6 + j**x - 2*j**2 - 8*j**6 wrt j? -240*j**3 Let d(h) be the first derivative of 50*h**3/3 + h**2/2 + 22*h + 63. Find the second derivative of d(i) wrt i. 100 Let u(n) = -43*n**4 + 3*n**3 + 32*n**2 - 3*n. Let o(b) = -b**4 + b**3 + b**2 - b. Let y(v) = -3*o(v) + u(v). Find the third derivative of y(g) wrt g. -960*g Suppose b + 5 = 0, b = 4*m + 3*b - 2. What is the second derivative of 2*o**m - o**3 - 2*o + 0*o wrt o? 6*o Suppose 4*y + 3*o - 5*o = 0, 2*y - 2*o = 0. What is the first derivative of y + 3 - 2*z + 6*z wrt z? 4 Suppose -4*j + 16 = f, -10 = -4*j - 3*f + 6. Suppose -7 = -j*g + 5. Differentiate 0 + 5 - 2*p**g - 2 with respect to p. -6*p**2 Let c be (0 + -1)/(1/(-32)). What is the derivative of -c*g**3 + 38*g**3 - 3 + 0 wrt g? 18*g**2 Let v(y) be the first derivative of 0*y + 2/5*y**5 + 0*y**3 + 0*y**4 - 1 - 2*y**2. Find the second derivative of v(o) wrt o. 24*o**2 Suppose 2*l + 2*z - 6 = 0, -4*l + z + 0*z = -7. Differentiate -1 + 5 + 4*f - 4 + l wrt f. 4 Find the third derivative of 50*o**3 - 13*o**3 - 8*o**2 + 3*o**2 + 10*o wrt o. 222 Let g(o) = 2*o**4 - 4*o + 1. Let m(d) be the first derivative of d**5/5 + d**2/2 - d + 2. Let a(r) = g(r) + 4*m(r). What is the first derivative of a(z) wrt z? 24*z**3 Let t(n) = 12*n**2 - 11*n. Let f(y) = 24*y**2 - 21*y. Let c(g) = 6*f(g) - 11*t(g). What is the second derivative of c(o) wrt o? 24 Let x(k) be the second derivative of 3*k**6/10 - 11*k**4/12 + 47*k. Find the third derivative of x(l) wrt l. 216*l Let a(h) be the second derivative of -4*h**7/21 + 2*h**4/3 - 10*h. What is the third derivative of a(f) wrt f? -480*f**2 Suppose -3*z + 13 = 4. Suppose 3 = -u + 3*d, 0 = 3*u + 5*d - 0*d - 19. Differentiate 1 - 5 + 2*c**u - 2*c**3 + c**z with respect to c. 3*c**2 Let v be (9/15 + -1)*-5. What is the third derivative of 4*t**5 - v*t**6 + 5*t**6 - t**2 - 4*t**5 wrt t? 360*t**3 Let p(g) = g**3 + 6*g**2 - 6*g + 10. Let u be p(-7). Suppose -8*n + 6 = -18. What is the second derivative of 2*y + 0*y**2 - 3*y**2 - y**n + u*y**2 wrt y? -6*y What is the second derivative of 22*s**4 + 23*s**4 + 15*s**4 - 54*s**4 - 39*s wrt s? 72*s**2 Let q(y) be the third derivative of -17*y**9/504 + y**5/4 + 14*y**2. What is the third derivative of q(f) wrt f? -2040*f**3 Suppose d + 0 = 1. Let s(b) = -2*b**3 - 10*b**2 + 10*b + 14. Let u(w) = w**2 - w - 1. Let t(z) = d*s(z) + 10*u(z). Differentiate t(l) wrt l. -6*l**2 Suppose 15 = 5*f - 0*f. Find the third derivative of 0*c + 0*c + 9*c**2 + f*c**5 - 6*c**2 wrt c. 180*c**2 Let b(i) = i**5 + 5*i**4 + i - 5. Let g(t) = -t**5 - 3*t**4 + 3. Let q(x) = 3*b(x) + 5*g(x). What is the second derivative of q(r) wrt r? -40*r**3 Let c(k) be the second derivative of -13*k**3/3 + 3*k**2 - 20*k. What is the first derivative of c(j) wrt j? -26 Let d(x) be the first derivative of -4*x**3/3 + 9*x + 3. Differentiate d(n) with respect to n. -8*n Let n(t) be the third derivative of -t**6/240 - t**5/60 + t**4/12 - 3*t**2. Let p(u) be the second derivative of n(u). Differentiate p(w) wrt w. -3 Let g(m) be the third derivative of m**10/840 + m**6/90 - m**3 + 3*m**2. Let k(s) be the first derivative of g(s). Find the third derivative of k(n) wrt n. 720*n**3 Let w be 4/5*(-30)/(-12). Find the third derivative of 2*z**2 - 2*z**3 + 0*z**w + 6*z**2 - 7*z**3 wrt z. -54 Let k(y) be the first derivative of -y**4/4 + y + 2. Let n be k(0). Find the first derivative of g + 1 + n + 2*g wrt g. 3 Let j(f) = -f - 88. Let n(p) = 29. Let t(a) = -6*j(a) - 17*n(a). What is the derivative of t(g) wrt g? 6 Let l(c) = -3*c**6 + 4*c**2 + 5*c - 5. Let s(g) = -4*g**6 + 5*g**2 + 4*g - 4. Let k(o) = -4*l(o) + 5*s(o). What is the third derivative of k(i) wrt i? -960*i**3 Let z(p) be the first derivative of -1/4*p**4 - 2/3*p**3 - 3 + 0*p + 0*p**2. What is the third derivative of z(l) wrt l? -6 Let t(n) be the first derivative of n**10/1008 + n**6/90 + 4*n**3/3 - 4. Let o(s) be the third derivative of t(s). Find the third derivative of o(b) wrt b. 600*b**3 Let j(o) be the first derivative of o**3 + 2*o**2 - 2*o**2 - 2*o**3 + o**2 - 2. What is the second derivative of j(a) wrt a? -6 What is the derivative of 17 + 12*p - 16*p + 14*p wrt p? 10 Let l be (-22)/(-6) + (-2)/(-6). What is the derivative of 3*h**4 - 5*h**4 - h**l + 2 wrt h? -12*h**3 Let u be (-1)/(-3 - (0 + -2)). Let w be (1 - 1) + 2*u. What is the first derivative of 2*z**3 - w - z**3 + 3 wrt z? 3*z**2 Let u be -1 - 1 - (-32)/4. Let l(f) = f - 4. Let c be l(u). What is the second derivative of q - 7*q - c*q**2 + 3*q wrt q? -4 Let c(f) be the second derivative of -5*f**6/6 - 17*f**3/3 + 36*f. What is the second derivative of c(m) wrt m? -300*m**2 Let m(g) be the first derivative of 0*g**2 - 2/5*g**5 + 0*g**4 + 0*g**3 + 2*g + 3. Differentiate m(r) with respect to r. -8*r**3 Let u(y) = -43*y**3 + 5*y**2 - 5*y - 54. Let z(k) = 64*k**3 - 7*k**2 + 7*k + 81. Let g(s) = 7*u(s) + 5*z(s). Differentiate g(p) with respect to p. 57*p**2 Let q be 18/4 + 2/4. What is the second derivative of 4*k + 2*k - q*k**5 + k**5 - k**5 wrt k? -100*k**3 Suppose 0 = 2*y + h, -4*h - 26 = -5*y - 0*h. Let f(n) = -n**2 + 6*n + 5. Let c be f(6). Find the third derivative of 2*l**y + 2*l**5 - 4*l**c - 2*l**5 wrt l. -240*l**2 Let j(n) be the first derivative of -29*n**3/3 + 36*n - 4. Differentiate j(m) wrt m. -58*m Let y(z) be the first derivative of 4 - 1/2*z**2 + 0*z + 1/3*z
{ "pile_set_name": "DM Mathematics" }
(b) 0.5 (c) 67 (d) -5 (e) -4 e What is the third biggest value in -4, 3/5, -8? -8 Which is the second biggest value? (a) -3 (b) 0.9 (c) 5 b Which is the fourth biggest value? (a) 2/19 (b) 0.4 (c) 34 (d) 0.9 a What is the second biggest value in -18, -1/2, 0.14, 2.7? 0.14 Which is the second smallest value? (a) -1/3 (b) 5 (c) 5/3 (d) -2/7 d What is the third smallest value in -0.12, -1.3, 3/11, 0? 0 Which is the second smallest value? (a) -34 (b) 31 (c) -1/2 c What is the fifth biggest value in 0.2, -0.18, -5, 2, -0.3? -5 What is the smallest value in -0.1, -10, -5? -10 Which is the second smallest value? (a) 2/3 (b) 4 (c) -1 (d) 9 a What is the fifth biggest value in -1.6, -4, 0, -5, -2/9? -5 What is the second biggest value in -1/3, 0.1, 0, -9? 0 Which is the third biggest value? (a) -0.5 (b) -2/19 (c) 0.01 (d) -1 a Which is the third smallest value? (a) -0.042 (b) 1/2 (c) 1/4 b Which is the biggest value? (a) 10 (b) 0.3 (c) 1/2 (d) 5 (e) -5 a Which is the third biggest value? (a) 1 (b) 9 (c) -0.2 c Which is the third biggest value? (a) -1/7 (b) 1/6 (c) 4 (d) 8 b What is the biggest value in 1/8, 2, 1/9, -1? 2 Which is the third biggest value? (a) -4 (b) 7 (c) -34 c What is the fourth smallest value in 1/7, -8, -25, -1/9, -1? -1/9 Which is the fourth smallest value? (a) -9 (b) -82/3 (c) 0.5 (d) 3 (e) 2/7 c What is the second biggest value in 1171, -1/9, -5? -1/9 What is the biggest value in -0.5, -1/6, -0.0302? -0.0302 Which is the second smallest value? (a) 0 (b) -5 (c) -3/2 (d) -2 (e) 3 d What is the second biggest value in -6, 169, -1/6, -2? -1/6 What is the biggest value in -1.7, -2, -0.4, -13? -0.4 What is the second biggest value in 7, -25/3, -0.5, -0.07? -0.07 Which is the biggest value? (a) 1/3 (b) 3/4 (c) 0 (d) 5 (e) 0.1 d Which is the biggest value? (a) 2 (b) 5/82 (c) -5 (d) -0.1 (e) -4/9 a What is the biggest value in 3, -4, -2/29, -0.9? 3 What is the third biggest value in -3/2, -0.2, -5, 3/11, 4? -0.2 Which is the third smallest value? (a) -1 (b) -3/25 (c) -4 (d) -2 a What is the third smallest value in -0.01, -27/17, 3? 3 What is the biggest value in -7, 1/2, -0.1? 1/2 What is the third smallest value in 2/3, -1, 3? 3 Which is the fourth smallest value? (a) 1/7 (b) -1/5 (c) 7 (d) -2 c Which is the biggest value? (a) 0.07 (b) 0.08 (c) 3 c What is the second biggest value in 2/3, -0.3, 0.5, 0.2, 0.057? 0.5 Which is the biggest value? (a) 0.5 (b) -0.21 (c) 3 (d) -1 c What is the second biggest value in 0.4, 4/2011, 4? 0.4 What is the second smallest value in 0.2, 8, 2/249? 0.2 Which is the second biggest value? (a) -2 (b) 1 (c) 1/10 c What is the third biggest value in -1.2, 2/23, -2, 3? -1.2 What is the second smallest value in -1/42, -0.2, -1/2, -2/7? -2/7 Which is the second smallest value? (a) -0.2 (b) 1/5 (c) 4 (d) -36 a Which is the smallest value? (a) 7 (b) -3/2 (c) 59 b Which is the third biggest value? (a) -33 (b) 4 (c) -3/4 a What is the fifth biggest value in 43, 0.3, 0, -1/8, -3? -3 What is the biggest value in 8, -26/5, -5? 8 What is the biggest value in -0.1, 0.01, 51, 3? 51 Which is the second smallest value? (a) -0.1 (b) 0.2 (c) -2.5 (d) 16/7 a What is the smallest value in -3/2, 0.01, -11, 2? -11 What is the third smallest value in -5, 334, -4? 334 Which is the fourth biggest value? (a) -0.2 (b) -3/2 (c) -7/4 (d) -2/5 c Which is the second smallest value? (a) 124 (b) -4 (c) -6 (d) 0.1 b Which is the fifth smallest value? (a) -0.007 (b) 1.5 (c) 0.4 (d) -5 (e) -3/2 b What is the third smallest value in 1/5, 3/2, -2, -0.2, 4? 1/5 What is the fourth smallest value in -1/4, 6, 2, -1? 6 What is the second smallest value in -1/3, -0.1, -6/79, 0? -0.1 What is the biggest value in -0.3, 3, -1/14? 3 What is the third smallest value in -3/5, -0.1, 53, 42? 42 Which is the third biggest value? (a) -0.3 (b) -16038 (c) 0.1 b What is the second biggest value in 2/9, -1, -220? -1 Which is the smallest value? (a) 31 (b) -5 (c) 0.11 b What is the smallest value in 175, -0.4, -2, -4? -4 What is the third smallest value in 4/5, -6, 5.1? 5.1 What is the biggest value in -0.04427, 3, -0.3, -2? 3 What is the fourth biggest value in -78, -5, 4, 0? -78 Which is the third biggest value? (a) -2 (b) 42 (c) 1/5 (d) 0.3 c What is the biggest value in -2/13, 0.1, -1/8, -10, 26? 26 Which is the fourth smallest value? (a) -2 (b) -0.4 (c) -14 (d) -0.3 (e) 3 d What is the second smallest value in -5, 2/7, -1.16? -1.16 Which is the second smallest value? (a) -2/3 (b) 31 (c) 1/5 (d) -0.3 d Which is the third smallest value? (a) -2/17 (b) -6 (c) 0.3 (d) 5 c What is the third smallest value in -3, -2/13, 10.3, -5? -2/13 Which is the second smallest value? (a) -0.074 (b) -3 (c) 2/11 a Which is the second biggest value? (a) -1/7 (b) 0.2 (c) -6 (d) 4 b Which is the smallest value? (a) 0.3 (b) -18 (c) 0.054 b What is the third biggest value in -3, 3, 8, -5? -3 Which is the biggest value? (a) 2/7 (b) -1.53 (c) -0.21 a Which is the third smallest value? (a) -257 (b) 2/5 (c) 12/5 c What is the fourth smallest value in 2, -92, 81, -1/3? 81 What is the smallest value in -2, 3, -4, -2/11, -3/4? -4 What is the smallest value in -0.1, 1/7, 0.4, 550? -0.1 Which is the smallest value? (a) -2/7 (b) -3/2 (c) 5 (d) 1/2 b Which is the third biggest value? (a) 2/5 (b) 1 (c) -1.64 c Which is the second biggest value? (a) 3/7 (b) -1/3 (c) -1/7 c What is the second smallest value in -1/2, 26, -2? -1/2 Which is the fourth smallest value? (a) -2 (b) -1/4 (c) 2/5 (d) 9.44 d What is the smallest value in 0.03, 0.1, 52, -0.5? -0.5 Which is the biggest value? (a) -1 (b) 383 (c) -3 (d) -1/2 b What is the smallest value in -5, -1, 1/16? -5 Which is the third biggest value? (a) -7 (b) -27 (c) -8 b Which is the third biggest value? (a) 1/9 (b) -2 (c) 2 b Which is the fourth biggest value? (a) 9/7 (b) 0.03 (c) 0.4 (d) 2/3 (e) 3/7 c What is the second biggest value in 3, 248, 5? 5 Which is the biggest value? (a) 2 (b) 0.1 (c) 4464 c Which is the second smallest value? (a) 2/11 (b) -14/3 (c) 0.2 (d) -4.4 d Which is the third biggest value? (a) 21/2 (b) 2.1 (c) -5 c Which is the smallest value? (a) -0.04 (b) 4 (c) 5 (d) -4/3 d What is the smallest value in 4, -25, -0.3? -25 What is the smallest value in -33, 0.2, 2/3, 9? -33 What is the third biggest value in -2/11, 9, -17? -17 What is the third biggest value in 7, 14, -0.65? -0.65 What is the third biggest value in 2/39, -2/5, 63? -2/5 Which is the smallest value? (a) 0.3 (b) -5 (c) 4/7 (d) 0.2 b What is the third smallest value in 1, 20/7, 2/13? 20/7 Which is the third biggest value? (a) 170.7 (b) -1 (c) 1/7 (d) 0.4 c Which is the fourth biggest value? (a) 0.04 (b) -4 (c) 0.3 (d) 1 b What is the biggest value in -12, -4, -17? -4 What is the third smallest value in 0.0994, 4, -2? 4 Which is the biggest value? (a) 413 (b) 0 (c) -23 a What is the second smallest value in 2, 0.2, 7, -1/6? 0.2 What is the third biggest value in 0, -4, -3, 1/5? -3 What is the fourth smallest value in -0.03, 7, -0.3, 3? 7 Which is the second biggest value? (a) 4 (b) 377 (c) 3 a What is the smallest value in 10, 0, -1, -2/9? -1 Which is the second biggest value? (a) 1/2 (b) -33 (c) -1 (d) 0.3 d What is the smallest value in 3, -2/5, 0.4, -10/9? -10/9 Which is the smallest value? (a) 0.2 (b) -0.153 (c) -0.11 b What is the smallest value in -1, 0.113, 9, 6/7? -1 Which is the fifth smallest value? (a) -5/2 (b) -2/19 (c) 0.4 (d) -1/37 (e) 1/6 c Which is the smallest value? (a) -6/7 (b) 3/5 (c) -2/7 a What is the third biggest value in 4/5, 6, 1, -0.589? 4/5 What is the fourth biggest value in -26, -1, -86, 0.2, 4/5? -26 Which is the second smallest value? (a) -3 (b) 2 (c) 15/4 (d) -4 a Which is the third smallest value? (a) 1/2 (b) -0.1 (c) 0.1 (d) 4 (e) -8/59 c What is the smallest value in -0.5, -4, -5, 2, -0.145? -5 What is the smallest value in -14/17, 3, -5? -5 What is the smallest value in 2/5, 229, -1? -1 Which is the smallest value? (a) 7 (b) -2 (c) 4 (d) 2 b Which is the fourth biggest value? (a) -4 (b) -0.3 (c) 0 (
{ "pile_set_name": "DM Mathematics" }
v - 247*v. 2*v**3 - 265*v Collect the terms in -17*j**3 + 454201232*j**2 + 3*j**3 - 454201235*j**2. -14*j**3 - 3*j**2 Collect the terms in 334*i**3 - 126*i + 126*i + 3*i**2. 334*i**3 + 3*i**2 Collect the terms in 21 - d**2 - 10*d + 2*d**2 - 4*d + 0*d**2 + 15. d**2 - 14*d + 36 Collect the terms in 627*u**2 + 414*u**2 - 1748*u**2 + 704*u**2. -3*u**2 Collect the terms in 7*h**2 - 544834*h**3 - 7*h**2 + 544827*h**3. -7*h**3 Collect the terms in -7886*t**3 + 28*t**2 + 21*t**2 + 8034*t**3 - 49*t**2. 148*t**3 Collect the terms in -672*l**2 - 146 + 766*l**2 + 151 + 1015*l**2 + 530*l**2. 1639*l**2 + 5 Collect the terms in 243*b - 319*b + 17176*b**2 + 76*b. 17176*b**2 Collect the terms in -1844393651 + 1844393651 - 2933*f + 2902*f. -31*f Collect the terms in -10 + 3 + 7 + 5044706*o - 5044362*o. 344*o Collect the terms in 1326*c - 2*c**2 - 1326*c + 12 - 19*c**2. -21*c**2 + 12 Collect the terms in 4458*n**2 - 8921*n**2 + 4481*n**2. 18*n**2 Collect the terms in -6*z**2 + 1551903 - 3103804 + 1551901. -6*z**2 Collect the terms in 12 - 4*w**3 + 5*w**3 + 6225*w**2 + 2*w - 3*w**3 - 6078*w**2. -2*w**3 + 147*w**2 + 2*w + 12 Collect the terms in 76*w + 60*w + 333*w**2 - 183*w + 50*w. 333*w**2 + 3*w Collect the terms in -1223*y - 8*y**2 + 599*y + 624*y - 27*y**2. -35*y**2 Collect the terms in -5*o**3 + 412*o - 1285*o + 438*o + 1 - 7 + 435*o. -5*o**3 - 6 Collect the terms in -211936 - 956*w**2 + 1522*w**2 + 211936 - 1162*w**2. -596*w**2 Collect the terms in 511*b**3 + 805*b**3 + 18*b - 2012*b**3 + 694*b**3 - 18*b. -2*b**3 Collect the terms in 4589 - 1734*v**3 + 15*v**2 - 4589 - 15*v**2. -1734*v**3 Collect the terms in -23 + 41 - 10 + 66*t**3 - 16*t**3. 50*t**3 + 8 Collect the terms in -4*x**2 + 2*x + 2820 + 3*x**2 - 3600. -x**2 + 2*x - 780 Collect the terms in -23208*t - 23211*t + 403*t**3 + 46419*t + 5339*t**3. 5742*t**3 Collect the terms in 2 + 3 - 3 + 2146*q + 6031*q. 8177*q + 2 Collect the terms in -4 + 2 + 8*r**2 - 173722*r**3 + 173721*r**3 - 47*r**2. -r**3 - 39*r**2 - 2 Collect the terms in -465*f + 36 + 12*f**3 + 465*f - 75 + 42. 12*f**3 + 3 Collect the terms in -2022 + 743*c + 2022 - 39*c. 704*c Collect the terms in -3*o**2 + 11410524 - 11410524 + 128*o**3. 128*o**3 - 3*o**2 Collect the terms in -1 + 1 - 217880*o + 111293*o. -106587*o Collect the terms in f**2 - 13*f**2 - 6*f**2 - 12*f**2 + 66*f**2 - 10*f**2 - 24*f**2. 2*f**2 Collect the terms in 4069*h**3 + 4798*h**3 - 6053*h**3. 2814*h**3 Collect the terms in 44*j**2 + 48*j**2 - 2517*j + 52*j**2 - 156*j**2. -12*j**2 - 2517*j Collect the terms in -14527*q + 170*q**2 - 15132*q + 29659*q. 170*q**2 Collect the terms in -81461714*u - 81461992*u + 162923708*u. 2*u Collect the terms in 549*p**3 - 1302*p**3 - 1666*p**3. -2419*p**3 Collect the terms in -5579*c**2 + 6*c**3 - 5572*c**2 - 624*c + 11151*c**2. 6*c**3 - 624*c Collect the terms in 238*q - 1978044 - q**2 + 1978044 + 0*q**2. -q**2 + 238*q Collect the terms in 17357*x**3 - 180223*x**3 - 404792*x**3. -567658*x**3 Collect the terms in 275*m - 84*m - 102*m - 95*m. -6*m Collect the terms in -24*d + 3896 - 1930 - 1966 + 3*d - 29*d. -50*d Collect the terms in -26*h**3 + 2915421*h - 1457700*h - 1457721*h - 3*h**3. -29*h**3 Collect the terms in -705137*j + 176279*j + 176290*j + 176281*j + 176287*j + 15*j**3 - 4*j**3. 11*j**3 Collect the terms in -480*y - 43*y**2 - 13*y**2 + 153*y**2 + 480*y. 97*y**2 Collect the terms in -7 + 10 - 2 - 1427*q**3 - 1 - 1820*q**3. -3247*q**3 Collect the terms in -1214 + 405 - 8042*k + 402 + 407. -8042*k Collect the terms in 15*g + 958*g**2 - 960*g**2 + 925*g**3 + 930*g**3. 1855*g**3 - 2*g**2 + 15*g Collect the terms in 0 + 0 + 1161123*d + 46861*d. 1207984*d Collect the terms in 2182*j**2 - 775*j**2 - 655*j**2 - 691*j**2. 61*j**2 Collect the terms in 764635*d - 254871*d - 32*d**2 - 254897*d + 34*d**2 - 254867*d. 2*d**2 Collect the terms in 0*t**2 - 231619617*t**3 + 231621608*t**3 + 0*t**2. 1991*t**3 Collect the terms in 26*t**2 - 8*t**2 - 944644434 + 944644434. 18*t**2 Collect the terms in -18704*z**3 + 10510*z**3 + 8180*z**3. -14*z**3 Collect the terms in 86*n**2 - 8*n + 57*n - 21*n**2 + 2*n**3 + 12. 2*n**3 + 65*n**2 + 49*n + 12 Collect the terms in 709*u**2 + 729*u**2 + 15*u**3 - 2156*u**2 + 726*u**2. 15*u**3 + 8*u**2 Collect the terms in -137964*q**2 + 105*q + 137965*q**2 + 335*q. q**2 + 440*q Collect the terms in 14*c + 4*c - 13*c - 8*c - 78*c. -81*c Collect the terms in 427326*v + 2 + 26643*v - 2. 453969*v Collect the terms in -90*n + 74 - 98*n + 338*n - 162 - 75*n + 88. 75*n Collect the terms in -118*l**2 + 29*l**2 + 11*l - 3*l - 6*l + 3*l - 3*l. -89*l**2 + 2*l Collect the terms in -225 + 491*d**2 - 250*d**2 - 226. 241*d**2 - 451 Collect the terms in -399*y - 284*y + 1523*y - 299*y - 280*y - 295*y. -34*y Collect the terms in 4733*t + 54*t**2 - 4741*t - 16*t**2. 38*t**2 - 8*t Collect the terms in -715*j**2 + 4*j**3 + 131 - 344 + 727*j**2. 4*j**3 + 12*j**2 - 213 Collect the terms in -313*d**2 - 13*d - 9*d + d - d - 11 + 13. -313*d**2 - 22*d + 2 Collect the terms in -125329*s + 340838*s + 145665*s. 361174*s Collect the terms in -51 - 124*l**3 + 91 - 40 - 2*l**2 + 110*l**3. -14*l**3 - 2*l**2 Collect the terms in -147476361*h + 27*h**3 + 147476361*h. 27*h**3 Collect the terms in 2744 + 298*s**3 + 2848 - 5592 - 35*s**3. 263*s**3 Collect the terms in -136288*a - 63835*a - 85327*a + 29765*a - 49491*a. -305176*a Collect the terms in 2787 - 66*k + 2906 - 5693 + 12*k**2. 12*k**2 - 66*k Collect the terms in v**3 - v**3 - v**3 - 4010 + 918 + 151. -v**3 - 2941 Collect the terms in 3266*f**2 - 6370*f**2 + 3287*f**2 - 1. 183*f**2 - 1 Collect the terms in 2261*j + 22 - 2426*j - 35 + 13 + 1644*j. 1479*j Collect the terms in 4778*w**3 - 1528*w**3 - 3318*w**3. -68*w**3 Collect the terms in -5*x**2 + 78787933*x**3 + 5*x**2. 78787933*x**3 Collect the terms in 261*w + 985*w + 1059*w - 181*w - 408*w. 1716*w Collect the terms in -430 + 1006*c + 872 - 441. 1006*c + 1 Collect the terms in -631*y + y**3 + 3*y**3 - 7*y**3 + y**3. -2*y**3 - 631*y Collect the terms in 7 + 4198*u - 7 - 1055*u - 1053*u - 1028*u - 1063*u. -u Collect the terms in 83886*k - 83879*k + 138*k**2 - 120*k**2. 18*k**2 + 7*k Collect the terms in -22*m**2 - 155*m**2 - 3 - 17*m**2 - 58*m**2 + 250*m**2 + 3. -2*m**2 Collect the terms in 311*v**3 + 318*v**3 + 318*v**3 + 314*v**3 + 294*v**3 + 307*v**3 - 1863*v**3. -v**3 Collect the terms in -690 + 0*b**2 - 138 - 203 + 5*b**2 + 5*b**3 - 6*b**2. 5*b**3 - b**2 - 1031 Collect the terms in 4531 - 29*v**2 - 36*v - 2264 - 2267 + 4*v. -29*v**2 - 32*v Collect the terms in -21517*h**3 - h - 8*h**2 - 569*h**3 + 323*h**3. -21763*h**3 - 8*h**2 - h Collect the terms in 54620*l**3 - 27360*l**3 - 27278*l**3. -18*l**3 Collect the terms in 84034*q + 13 - 5 - 84150*q. -116*q + 8 Collect the terms in -11879531*v + 4*v**2 + 2 + 11876929*v - v**2. 3*v**2 - 2602*v + 2 Collect the terms in -429881*p**3 + 5 - 4 + 429876*p**3 - 1. -5*p**3 Collect the terms in 2*g**2 + 17793 - 35677 + 17884. 2*g**2 Collect the terms in 864*q - 187*q - 159*q - 515*q + 550 - 550. 3*q Collect the terms in -g**2 - 4451737 + 2225862 + 2225857. -g**2 - 18 Collect the terms in -896796*a - 775181*a + 0 + 0. -1671977*a Collect the terms in 2*y - 3*y - 447117*y**2 + 1341319*y**2 + y - 447113*y**2 - 447103*y**2. -14*y**2 Collect the terms in -130299*m**3 + 260611*m**3 - 130313*m**3 + 21. -m**3 + 21 Collect the terms in 110563907*n**2 - 221128112*n**2 + 110563764*n**2. -441*n**2 Collect the terms in -3430*b**2 + 1866*b**2 - 5652*b**2. -7216*b**2 Collect the terms in 302*m**2 - 677*m**2 - 2*m**3 + 108*m - 905*m**2 + 3*m**3 + 2. m**3 - 1280*m**2 + 108*m + 2 Collect the terms in -1029870*w**2 - 6*w - w + 7*w. -1029870*w**2 Collect the terms in 152 + 9871*m - 39 - 42 - 35 - 35. 9871*m + 1 Collect the terms in 58*p - 235*p + 47*p + 45*p + 38*p - 2*p**2. -2*p**2 - 47*p Collect the terms in -118*l**2 + 91899*l**3 + 64*l**2 - 91849*l**3 + 60*l**2. 50*l**3 + 6*l**2 Collect the terms in 2387 + 9*n - 1786 + 3366. 9*n + 3967 Collect the terms in -48806*z**2 + 48978*z**2 + 112 + 8. 172*z**2 + 120 Collect the terms in -20948*f**2 - 8 + 8 - 93065*f**2. -114013*f**2 Collect the terms in -88*s + 12 - 122*s**3 + 52*s + 36*s - 12. -122*s**3 Collect the terms in 11207455747064*f**3 - 22414911494136*f**3 + 1120745574
{ "pile_set_name": "DM Mathematics" }
sqrt(68) + 1 + 3 + 3 + -4 + sqrt(68)*1 + 5 + sqrt(68) + -1 + sqrt(68) + -2))**2. -40*sqrt(17) + 297 Simplify ((4 + (sqrt(192)*-1 - sqrt(192)))**2 - (sqrt(192)*2 + sqrt(192) + 4)) + 1 - ((5*sqrt(108)*1*-4)**2 + -2). -42417 - 152*sqrt(3) Simplify (-5*(-1 + (sqrt(2448) + (-5*sqrt(2448)*-1 - sqrt(2448)) + -1 - (sqrt(2448)*-1*6 + -5))))**2. 19800*sqrt(17) + 7405425 Simplify 4*-6*(0 + 1*sqrt(245))**2 - ((-4 + sqrt(90)/sqrt(2))**2 + (-1 + sqrt(10)/sqrt(2) + -3)**2). -5962 + 32*sqrt(5) Simplify (1*5*sqrt(1344)*2)/(4*2*sqrt(12)/(sqrt(16)/sqrt(4))). 10*sqrt(7) Simplify (-4*((sqrt(96)*5 + sqrt(96))*3 - sqrt(96))/(3*sqrt(18)*1))**2. 73984/27 Simplify (2*(-4*sqrt(77)*2 - (sqrt(77) + -1*(sqrt(77)*-1 + sqrt(77)))))/(sqrt(77)/sqrt(7)*-6 - sqrt(121)/(sqrt(11) + sqrt(11)*-2 - sqrt(11))). 36*sqrt(7)/11 Simplify -6*((sqrt(972)*2 + -1 - (1 + sqrt(972)*1)**2) + -4). 5868 Simplify ((-1 + sqrt(1872) + -2)**2 + 0 + -4*(-3*sqrt(1872) + 0)**2 + 3)*1. -65508 - 72*sqrt(13) Simplify -4*((-2 + sqrt(1584)*1)**2 + -3 + (2*(-2 + sqrt(1584)) - sqrt(1584))*-5). -6420 + 432*sqrt(11) Simplify 3 + (-4*(sqrt(132) + sqrt(132)*-1)*1)/(sqrt(72)/(sqrt(36)/sqrt(6))*-6) + -1. 2 Simplify ((-1*sqrt(475)*-2 - (4 + sqrt(475)*2)**2)*3 + -5)*-4 + -3. 840*sqrt(19) + 23009 Simplify (0 + 2 + sqrt(1100) + -3 - (1*(-1*sqrt(1100))**2 + sqrt(1100) + sqrt(1100) + 1))*3. -3306 - 30*sqrt(11) Simplify (sqrt(35)*1*2 + sqrt(560) + sqrt(560)*-3)/((sqrt(60)/sqrt(2)*-2)/(sqrt(6) - ((sqrt(72) - 1*sqrt(72)) + sqrt(72))/sqrt(12) - sqrt(6))). -3*sqrt(7) Simplify -1 + (4 + 2 + sqrt(27) - sqrt(27)) + (sqrt(726)*1)/sqrt(2). 5 + 11*sqrt(3) Simplify sqrt(252)/(sqrt(36)/sqrt(4)*3) + 3 + (2*sqrt(28) + sqrt(28) - sqrt(28)) + 0 + 4. 7 + 14*sqrt(7)/3 Simplify (0 + 1*(sqrt(147)*-2)**2 - ((sqrt(180)/sqrt(3))/sqrt(5))/(sqrt(4) - (sqrt(4) - (sqrt(4) + sqrt(36))*1)))*2. -sqrt(3)/2 + 1176 Simplify (5 + (2 + -2*sqrt(1008)*-4 - ((sqrt(1008) - (sqrt(1008) - 3*sqrt(1008))) + 3 + -5)))**2. 1080*sqrt(7) + 25281 Simplify (-2*(sqrt(4000) + sqrt(4000)*-3))/((sqrt(360)/(sqrt(72)/sqrt(8)))/sqrt(5))*-3. -120*sqrt(5) Simplify ((sqrt(228) - (sqrt(228) + (sqrt(228) - 1*sqrt(228))*-5))/(sqrt(66)/(sqrt(44)/sqrt(4))))/((sqrt(22)*-1*-3 + sqrt(22))/(sqrt(11) + sqrt(33)/sqrt(12))). 0 Simplify (-1 + sqrt(700))*-4*2 - (sqrt(77)/(sqrt(11) + sqrt(176)) + sqrt(7) + (4*sqrt(252) - sqrt(7))). -521*sqrt(7)/5 + 8 Simplify (((sqrt(495) - 1*sqrt(495))*6)/((sqrt(99)*1)/sqrt(11)))/(-3*sqrt(539)*-2*6) + 1. 1 Simplify 2 + 6*(-1*(-4*(sqrt(99) + sqrt(99)*3))/(sqrt(576)*4 + sqrt(576)))**2. 314/25 Simplify ((1*(((sqrt(117) + sqrt(117)*-2)*-5 - sqrt(117)) + -2*sqrt(117)*-1))/((sqrt(1728) - 2*sqrt(1728))/((-1*sqrt(30))/sqrt(10))))**2. 117/16 Simplify (sqrt(1008) - (1 + 0 + sqrt(1008)) - (0 + sqrt(1008))*-3 - (-4 + 3*(0 + sqrt(1008)) + (sqrt(1008)*-2*2 + sqrt(1008) - sqrt(1008) - sqrt(1008))))**2. 360*sqrt(7) + 25209 Simplify -2*6*(sqrt(171)/(sqrt(63)/sqrt(7)*-4) - sqrt(228)/(sqrt(300)*-1 - sqrt(300))). 9*sqrt(19)/5 Simplify (6*(1*sqrt(77)*-2 - ((sqrt(77) + (2*sqrt(77) - sqrt(77)) + sqrt(77))*-3 - sqrt(77))))/(4*sqrt(275) + sqrt(55)/(sqrt(55)/sqrt(11))). 16*sqrt(7)/7 Simplify (-5*-6*-4*((sqrt(112) - (sqrt(112) + -1))*4 + sqrt(112) + 5 + 1*sqrt(112))*2)**2. 8294400*sqrt(7) + 30470400 Simplify (-5 + (2 + 4 + sqrt(72) - sqrt(72)) + 4 + -2*sqrt(242) + sqrt(2) + 6*sqrt(8))**2. -90*sqrt(2) + 187 Simplify 2 + ((sqrt(156)*2*-5 - sqrt(156))*-1)/((sqrt(588) - -1*sqrt(588))*-3). -11*sqrt(13)/42 + 2 Simplify ((sqrt(1377) + (sqrt(1377)*-1)**2*6 - (-1 + sqrt(1377) + 1)) + 1)*6 + -5. 49573 Simplify ((0 + sqrt(20) + -3 - sqrt(180)/(sqrt(9) + sqrt(144)))**2 - (sqrt(50)/(sqrt(70)/(sqrt(21)/sqrt(3))) + -5))*3. -159*sqrt(5)/5 + 402/5 Simplify (((sqrt(700) - -4*(0 + sqrt(700)) - (sqrt(700) + -1)*6) + -3)**2 + -2)*-1*1. -707 + 60*sqrt(7) Simplify (-4*sqrt(85)*2*-4*4)/(-2*sqrt(125) + sqrt(5) - (sqrt(500) - (sqrt(500) - (sqrt(500) + (4*sqrt(500) - sqrt(500)) + sqrt(500))))). -128*sqrt(17)/59 Simplify ((sqrt(1053) + sqrt(1053) + sqrt(1053)*1 + 0 + 0)*2)**2 - (-3 + -3*(sqrt(1053) + (sqrt(1053)*-3)**2*-2)). -18951 + 27*sqrt(13) Simplify ((sqrt(156) - 2*(sqrt(156) - 1*sqrt(156) - sqrt(156)))/sqrt(3))/(sqrt(12)/((sqrt(180)/sqrt(5) + sqrt(36))/sqrt(12))). 6*sqrt(13) Simplify -5*-4*((sqrt(133)/(sqrt(2401)/sqrt(7)))**2 + (1*sqrt(304) + sqrt(19))*2). 380/49 + 200*sqrt(19) Simplify (-5 + ((sqrt(34) - ((sqrt(68)/sqrt(2) - sqrt(34) - sqrt(34))*-3 + sqrt(34)))*5)/(sqrt(18) + -2*sqrt(1458)))**2. -50*sqrt(17)/17 + 450/17 Simplify ((sqrt(800) + 3*sqrt(800))*-3*-2)/((sqrt(784) - (sqrt(784)*-2 - sqrt(784) - sqrt(784)))/(sqrt(100) - -1*sqrt(100))). 480*sqrt(2)/7 Simplify 1 + (sqrt(153) + -2)**2*-4 - ((sqrt(153) + sqrt(153) + 0)**2 + 3 + -1*sqrt(153) + -5). -1237 + 51*sqrt(17) Simplify ((-4*1*sqrt(495))/((-2*sqrt(18))/sqrt(2)))/(sqrt(121)/(1*(sqrt(11) - (-1*sqrt(11) - sqrt(11))))*2). 3*sqrt(5) Simplify (sqrt(1216) - (0 + (sqrt(1216) + 0)**2) - (-2 + sqrt(1216) + 0))*2 - (4 + ((3*(sqrt(1216) + -1))**2 + sqrt(1216))*-2). -272*sqrt(19) + 19474 Simplify (sqrt(84) + sqrt(84)*-1*2 - ((sqrt(84)*2 - sqrt(84)) + sqrt(84))*5)/(sqrt(120)/sqrt(490) + sqrt(1728) + sqrt(12)). -77*sqrt(7)/92 Simplify (1*-1*(sqrt(99) - 2*sqrt(99)*-5))/(6*(sqrt(9)*5 - sqrt(9)) + sqrt(900) + -4*sqrt(900) + sqrt(900)). -11*sqrt(11)/4 Simplify 4 + (sqrt(180) - ((sqrt(180) - (-1 + sqrt(180) + sqrt(180))) + 1)) + 0 + sqrt(180) + 0 + (-2*(sqrt(320) + -1 - sqrt(5)) + -4)*1. 4*sqrt(5) Simplify (-5*(5*-2*sqrt(153) - sqrt(153) - (sqrt(153) - -4*-1*sqrt(153))))/(((-1*sqrt(144) - sqrt(144) - sqrt(9)) + sqrt(9) + 5*sqrt(18)/sqrt(2))*-3). 40*sqrt(17)/9 Simplify (2*((sqrt(110) - sqrt(110)*-3)*-4 - (sqrt(110) - (sqrt(110)*-3 + sqrt(110)))*1))/((((sqrt(640) - sqrt(640)*1) + sqrt(640))*-1 - sqrt(640))*6*-3). -19*sqrt(11)/144 Simplify -5 + 0 + ((sqrt(847) + sqrt(847)*1)**2*2 - sqrt(847)) + (((0 + sqrt(847))*2)**2 - (1 + sqrt(847)*2)). -33*sqrt(7) + 10158 Simplify ((sqrt(117) - ((sqrt(117) + sqrt(117) + 3*sqrt(117) - sqrt(117))*-6 - sqrt(117))) + sqrt(117)*4*3)/(3*(sqrt(576) + (-2*sqrt(576) - sqrt(576)))*-4). 19*sqrt(13)/96 Simplify (-6*(sqrt(1944) + (sqrt(1944)*-2 - sqrt(1944)) + sqrt(1944))*-2)/(4*((2*(sqrt(968)*-2 - sqrt(968) - sqrt(968)) - sqrt(968)) + sqrt(968))). 27*sqrt(3)/88 Simplify 6*((sqrt(1088) - sqrt(17)) + 0 + (sqrt(17) + 3*sqrt(34)/sqrt(2) - sqrt(17))**2 + (sqrt(17) + -2)*-1 + -3 + sqrt(17)*1)*-2. -1824 - 84*sqrt(17) Simplify 3 + (((sqrt(425) - -2*-2*sqrt(425)) + -2)*6 + -5)**2*1 + -5. 3060*sqrt(17) + 137987 Simplify (sqrt(544)*-2 + sqrt(306)*-4)/((sqrt(2304)*2)/(1*sqrt(288))). -5*sqrt(17) Simplify ((-2*sqrt(65)*4 - sqrt(65)) + sqrt(65) + 3*sqrt(65)*-2)/(4*(sqrt(5) + sqrt(30)/sqrt(6)) + sqrt(1260)/sqrt(7)). -sqrt(13) Simplify -1*(1 + sqrt(128))**2 - (5 + -2*sqrt(128)) - (1*3*sqrt(200)*-5)**2. -45134 Simplify 4 + 5 + (1 + 6*(-3 + -2*(sqrt(180) + 4))*5)**2. 236880*sqrt(5) + 756250 Simplify ((((sqrt(110)*1 - sqrt(110))*6 - sqrt(110) - (2*(sqrt(110) + sqrt(110) + sqrt(110)*-1 + sqrt(110)) + sqrt(110)))*-3)/(-4*-6*sqrt(360)*2))**2. 11/256 Simplify (-3*(sqrt(114)*-3 - sqrt(114)) - sqrt(114) - 4*(sqrt(114) + sqrt(114)*-1))/(sqrt(6) + sqrt(6) + sqrt(54)/(-1*sqrt(9)) + sqrt(216)*4). 11*sqrt(19)/25 Simplify 5*(sqrt(2) + sqrt(10)/sqrt(5))*2*5 - (-3*(-3 + (sqrt(242)*2 - sqrt(242)) + sqrt(242)))**2. -8793 + 1288*sqrt(2) Simplify (1*(sqrt(1100) + 1 + sqrt(44)*5)*-4)**2 + ((sqrt(11) + ((-1*sqrt(110) - sqrt(110))/sqrt(10) - sqrt(11)))*-5)**2 + 1 + 3. 640*sqrt(11) + 71520 Simplify -5 + -6*(4 + (sqrt(1700) - -6*(sqrt(1700) + 1)) + -2 + sqrt(1700) + 3 + -2)**2. -653291 - 8640*sqrt(17) Simplify ((sqrt(20) + 5*sqrt(200)/sqrt(10))*-5)/(1*sqrt(10)*2 - (sqrt(360)*-1 + sqrt(360))). -15*sqrt(2) Simplify (-1*sqrt(3993) + -2*sqrt(2112))/(sqrt(99)/(sqrt(63)/(sqrt(7)*3))). -9*sqrt(3) Simplify sqrt(252)/sqrt(4) + 3 + -4 + (sqrt(448) - (0 + sqrt(448))) + sqrt(448) + ((sqrt(7) + sqrt(28) + sqrt(7))*6*6 - (sqrt(252) + 0)*-4)**2. 11*sqrt(7) + 197567 Simplify (1*-6*3*sqrt(2106))/(((sqrt(98) - -2*sqrt(98)) + sqrt(98))*-4 - sqrt(98)*2*2). 81*sqrt(13)/70 Simplify (((sqrt(32)/sqrt(4))/sqrt(4)*-4*-2)**2 + ((sqrt(32)/(sqrt(4)/sqrt(2)))/(sqrt(648) - (sqrt(648) + 2*sqrt(648) + sqrt(648) + sqrt(648))))**2)*2. 82945/324 Simplify 2*((3 + 2*sqrt(325) + -1 + sqrt(325) + sqrt(325) + 1)**2*-6 + 4 +
{ "pile_set_name": "DM Mathematics" }
0.4 What is the nearest to 0 in -1/2, -3/5, -0.1, 0.07? 0.07 What is the closest to -50 in 0.1, 0.01, -4? -4 Which is the nearest to 2/21? (a) -2 (b) 3/2 (c) -5/7 c What is the nearest to -1 in -4, 0.05, -2/3, 5? -2/3 Which is the nearest to 3? (a) -36/5 (b) 3/2 (c) -5 (d) -0.1 b Which is the nearest to 1? (a) -1 (b) 2 (c) -4 (d) -300 b Which is the closest to -8? (a) -1/2 (b) 2 (c) 3 (d) 0.6 a What is the nearest to -2 in -2/3, 13, 4, 3? -2/3 Which is the nearest to 1? (a) -2 (b) 1 (c) 3 (d) 2 b What is the nearest to 4 in 1, 4, -3? 4 What is the closest to 0.1 in -5, 0.3, 0.04? 0.04 Which is the nearest to -5? (a) 0.1 (b) -3/4 (c) -4 (d) 1/7 c Which is the closest to 576? (a) 0 (b) 1 (c) -2/15 b What is the closest to -0.3 in -1, -1/6, 7? -1/6 What is the nearest to -1/3 in 0, -0.3, -11, -0.2? -0.3 Which is the nearest to 8? (a) -2 (b) -0.4 (c) 5 (d) 1 c What is the closest to 0.1 in -4, -1/2, -3, -2? -1/2 What is the closest to 0.3 in 2, 23, 0.3? 0.3 What is the closest to 111 in -2, 1, 1/7? 1 Which is the nearest to 1? (a) -3 (b) 9 (c) 20 a Which is the closest to -34? (a) 22 (b) -6 (c) -1/6 b What is the closest to -1.1 in -2, 1/2, 6? -2 Which is the closest to -1/4? (a) 1/7 (b) -3 (c) 4/7 (d) -4 a Which is the closest to -1? (a) 0 (b) 2 (c) 3/7 (d) 0.2 a What is the nearest to 30 in -2/9, 2, -0.1, 1/5? 2 Which is the closest to 2/3? (a) 3/8 (b) -3 (c) -1660 a What is the nearest to -0.1 in 1, -1/6, 0.1626, 0.4? -1/6 Which is the nearest to 219? (a) 4 (b) -3/8 (c) -2 a What is the nearest to -0.01 in -4, -2, -0.01? -0.01 What is the closest to -11/5 in -2, 5, 0, 4/15? -2 What is the closest to -1/16 in -0.1, -0.4, -6? -0.1 Which is the nearest to -2/5? (a) 2/13 (b) -7 (c) 5 (d) -1 a Which is the closest to -0.1? (a) 1/7 (b) -1.4 (c) -3/4 (d) -4 a Which is the closest to 0.1? (a) -0.5 (b) 2/7 (c) -0.4 (d) 6/97 d Which is the nearest to -2? (a) 12/7 (b) -2/15 (c) -6 (d) -4/9 d What is the nearest to 0 in -2, 0.4, 5, 1? 0.4 What is the nearest to -0.1 in 5, -3, -1/6? -1/6 What is the nearest to 2 in -0.5, -0.3, -0.4, 0.05? 0.05 Which is the nearest to -1? (a) 0.3 (b) 1/3 (c) 0.06 c What is the nearest to 0.1 in -2, -1, -0.3, 1/13? 1/13 Which is the closest to 1? (a) 4 (b) 0.4 (c) -0.1 b Which is the nearest to 0.1? (a) -7 (b) -2/9 (c) 60/11 (d) -0.4 b Which is the closest to -0.1? (a) -2/3 (b) -1/6 (c) -1.07 (d) -2/11 b What is the closest to 1/2 in 1, 1/12, 2, 1/5? 1/5 What is the nearest to 16 in 3, -3, 0.35? 3 What is the nearest to -0.1 in 11, -1, -2? -1 What is the nearest to 0.1 in -6, 4, 92, -5? 4 Which is the nearest to -0.05? (a) 273 (b) 1 (c) 4/7 (d) -4 c Which is the closest to 1? (a) -5 (b) 0.1 (c) -0.52 (d) 0 b Which is the closest to 1? (a) -0.1 (b) -0.04 (c) 0.3 (d) -2 c What is the nearest to 0.04 in -6/13, 2/5, -0.4, 0.5? 2/5 What is the closest to 0.41 in 5, -0.4, 1/4? 1/4 Which is the closest to -5? (a) -0.8 (b) 2/3 (c) 9 (d) -4 d What is the nearest to 2/3 in 3, 5, 1, 0.13? 1 What is the closest to -0.1 in 2, 4, 0.5, -3? 0.5 What is the nearest to -1 in -0.1307, 4, 0.4? -0.1307 Which is the closest to 1? (a) -1.7 (b) -2/11 (c) 2 (d) -2 c What is the nearest to 1 in -1, 2, -4/5, 1/87? 1/87 Which is the nearest to -22? (a) -2/19 (b) -0.1 (c) 3 (d) -31 d What is the closest to -2 in -5, 51, -2/5? -2/5 Which is the nearest to 1/3? (a) -4/7 (b) 1 (c) -0.1 (d) -1/5 c What is the nearest to -2/3 in 2/3, 4, 0, 0.3? 0 Which is the closest to -1? (a) 0 (b) 2/7 (c) 1 (d) -1.073 d What is the nearest to -1 in 0.25, -0.1, -0.2? -0.2 What is the nearest to -0.06 in 7, 5, 0.4? 0.4 Which is the nearest to -1/2? (a) -1 (b) -0.5 (c) -0.4 b Which is the nearest to 2/17? (a) -4 (b) -0.5 (c) -2/69 c Which is the nearest to -1? (a) 1979 (b) 0 (c) -3 b Which is the closest to -0.09? (a) 3/8 (b) 5 (c) 0 c What is the closest to 0.06 in -0.06, 0.2, 3? -0.06 Which is the closest to 0.1? (a) -4 (b) -3 (c) 14 (d) 5 b What is the nearest to 2/5 in -1/4, -5, -46.75, -3/4? -1/4 What is the nearest to -1 in -0.1, -2/7, 4.3, 24? -2/7 Which is the nearest to -1? (a) -4/5 (b) 0.4 (c) -3 a Which is the nearest to 0.3? (a) 0.5 (b) 1 (c) 0 (d) 1/5 d Which is the nearest to -9? (a) -0.01 (b) -1/5 (c) -2 (d) -2/7 c What is the nearest to 6384 in -3, 3/2, 0.5, -4? 3/2 Which is the closest to 1/2? (a) 2/9 (b) -115 (c) -3 (d) 0 a What is the closest to 0 in 0, -2/3, -1, -4? 0 Which is the closest to 0.1? (a) -75 (b) -0.4 (c) 0.5 (d) 0.3 d What is the closest to -1 in -15, -0.1, -1/13, 3? -0.1 What is the nearest to 0 in 0, -0.4, 100? 0 Which is the nearest to 0? (a) 1/2 (b) 123 (c) -1/7 c Which is the nearest to 0? (a) -3 (b) -1/5 (c) -9 b Which is the nearest to -2? (a) -0.3 (b) -7 (c) -2 (d) 4/5 c Which is the closest to 0? (a) 0.2 (b) 1/18 (c) 3/7 (d) 2 b Which is the closest to 1? (a) 3 (b) 0.1 (c) -7 (d) 2/19 d What is the closest to -2/19 in -11, 0.3, -1/5, 0.4? -1/5 Which is the closest to -4? (a) 0.2 (b) 0.4 (c) 16 (d) -2/19 d What is the closest to -3.2 in 4, 3, -1/20? -1/20 Which is the closest to 1? (a) -1 (b) 1/9 (c) 0.06 (d) -0.045 b Which is the nearest to 0.4? (a) 1 (b) 8 (c) 2/5 c Which is the closest to 1? (a) 1 (b) 0.3 (c) -0.3 (d) 1/6 a Which is the nearest to 1? (a) -0.031 (b) -3 (c) -1/4 a Which is the nearest to 0? (a) 3 (b) -6 (c) 0.1 (d) -0.55 c What is the closest to -1/2 in 181, -0.1, -3/5, 4? -3/5 What is the closest to 0 in 70, 5, 12? 5 Which is the nearest to 1? (a) -2/29 (b) 1 (c) -3/2 b What is the closest to -2 in -2/9, 0.12, 1? -2/9 Which is the nearest to 0? (a) -0.3 (b) -11 (c) -2 a Which is the nearest to 0? (a) 3/7 (b) -1/6 (c) -1 (d) -5 b What is the closest to 1/4 in -2, 2, -0.08, 3? -0.08 Which is the nearest to -0.1? (a) -6 (b) 2 (c) -0.03 c Which is the nearest to -1/4? (a) 0.1 (b) 2 (c) 1/3 a What is the nearest to 1/3 in -1/4, -0.4, -0.8? -1/4 What is the nearest to -459 in -2, -0.3, -5/4? -2 What is the closest to 0.1 in 0.1, 3, 2/27, 0.4? 0.1 What is the nearest to -3 in 0, 29, -0.1, -0.04? -0.1 Which is the closest to 1? (a) 2 (b) -1/6 (c) 1 c What is the closest to 1.5 in 1/72, 5, -3? 1/72 Which is the closest to 2/3? (a) -0.026 (b) 2 (c) 3/2 a What is the closest to 0.1 in -0.1, 2, -316? -0.1 Which is the nearest to 0.1? (a) 1 (b) 0.096 (c) -0.1 b Which is the closest to -1.2? (a) -0.3 (b) -2 (c) 5 (d) 0.2 b Which is the nearest to -2? (a) 2 (b) 18 (c) 1 (d) 0.1 d What is the nearest to -30 in -1/2, 5, 4/7, 0.1? -1/2 What is the nearest to -16 in -0.4, 7, 0.4, 1? -0.4 Which is the nearest to -1? (a) 1/4 (b) -2/23 (c) 1.4 (d) -1/2 d What is the nearest to 2/9 in -6, -2/27, 2/15? 2/15 What is the nearest to -1 in 2, -1/6, 0.02, -1? -1 Which is the closest to 0? (a) -1/4 (b) -60 (c) 0 (d) 5/2 c What is the closest to 2/11 in 2, 0.1, 1, -0.5? 0.1 What is the nearest to 1 in 0.5, 7, 4, 1/156? 0.5 What is the closest to 3 in 0.03, -32, 4? 4 Which is the nearest to -3? (a) 2 (b) 19 (c) 2/3 (d) -7/5 d Which is the nearest to -1? (a) 0.02 (b) 0.2 (c) -4 a Which is the nearest to -1? (a) -4 (b) -0.04 (c) 0.49 b Which is the nearest to 0.3? (a) -0.03 (b) 4/5 (c) -2/11 (d) -1 a Which is the nearest to 0.1? (a) 0.03 (b) 2/3 (c) -6 a Which is the nearest to -1? (a) -2 (b) -1.5 (c) 4 (d) -4/13 b What is the closest to 0.1 in -2/15, -0.3, -7, -2/13? -2/15 Which is the nearest to -1/4? (a) -2/7 (b) -2/13 (c) 24 a Which is the nearest to 3? (a) -2 (b) 1 (c) 37/2 (d) -4/9 b Which is the nearest to -0.06? (a) 0 (b) 1 (c) -0.2 (d) 0.2 a Which is the closest to 2/13? (a) -5 (b) 677 (c) 1/7 c Which is the closest to -2/7? (a) -0.5 (b) 0.09 (c) -34/7 a Which is the nearest to 8? (a) -5 (b) 1 (c) -10/9 b Which is the closest to 3/4? (a) -1/3 (b) -5/6 (c) 4 a What is the nearest to -2/3 in 2/3, -3, -1/2, -2.5? -1/2 Which is the closest to 1/13? (a) -5 (b) -40 (c) 3/2 c What is the closest to -0.1 in 0.02, -3, -2? 0.02 What is the closest to 0 in -4.34, 0, 4, -3? 0 Which is the closest to 1? (a) -2 (b) -24 (c) -1/94 c What is the nearest to -1 in -232, -1/12, -2?
{ "pile_set_name": "DM Mathematics" }
prime factors of 62954. 2, 31477 List the prime factors of 8181. 3, 101 What are the prime factors of 106561? 7, 13, 1171 List the prime factors of 3546. 2, 3, 197 List the prime factors of 1809. 3, 67 List the prime factors of 10473. 3, 3491 What are the prime factors of 8095? 5, 1619 List the prime factors of 1709. 1709 What are the prime factors of 19934? 2, 9967 What are the prime factors of 456? 2, 3, 19 What are the prime factors of 1517? 37, 41 What are the prime factors of 2398? 2, 11, 109 List the prime factors of 62969. 62969 List the prime factors of 2057. 11, 17 What are the prime factors of 97571? 97571 What are the prime factors of 5176? 2, 647 List the prime factors of 4691. 4691 What are the prime factors of 12630? 2, 3, 5, 421 List the prime factors of 1649. 17, 97 What are the prime factors of 190927? 11, 17, 1021 What are the prime factors of 12411? 3, 7, 197 What are the prime factors of 2238? 2, 3, 373 List the prime factors of 24097. 24097 List the prime factors of 41195. 5, 7, 11, 107 What are the prime factors of 43554? 2, 3, 7, 17, 61 What are the prime factors of 27850? 2, 5, 557 List the prime factors of 2789. 2789 List the prime factors of 11883. 3, 17, 233 What are the prime factors of 133055? 5, 13, 23, 89 What are the prime factors of 61157? 23, 2659 List the prime factors of 12540. 2, 3, 5, 11, 19 What are the prime factors of 2953? 2953 What are the prime factors of 36154? 2, 18077 What are the prime factors of 563? 563 What are the prime factors of 15116? 2, 3779 What are the prime factors of 8763? 3, 23, 127 What are the prime factors of 89? 89 What are the prime factors of 794? 2, 397 What are the prime factors of 54113? 53, 1021 What are the prime factors of 32400? 2, 3, 5 What are the prime factors of 134459? 13, 10343 What are the prime factors of 4099? 4099 List the prime factors of 839. 839 List the prime factors of 2768. 2, 173 List the prime factors of 777. 3, 7, 37 What are the prime factors of 15290? 2, 5, 11, 139 List the prime factors of 10949. 10949 What are the prime factors of 7248? 2, 3, 151 What are the prime factors of 8112? 2, 3, 13 What are the prime factors of 2476? 2, 619 List the prime factors of 30183. 3, 10061 What are the prime factors of 18108? 2, 3, 503 List the prime factors of 79787. 23, 3469 List the prime factors of 2580. 2, 3, 5, 43 What are the prime factors of 2116? 2, 23 List the prime factors of 7968. 2, 3, 83 List the prime factors of 28087. 28087 List the prime factors of 9344. 2, 73 What are the prime factors of 345? 3, 5, 23 What are the prime factors of 5311? 47, 113 What are the prime factors of 33? 3, 11 What are the prime factors of 2469? 3, 823 List the prime factors of 3805. 5, 761 List the prime factors of 10643. 29, 367 What are the prime factors of 2014? 2, 19, 53 List the prime factors of 2143. 2143 List the prime factors of 19798. 2, 19, 521 List the prime factors of 96. 2, 3 What are the prime factors of 3060? 2, 3, 5, 17 List the prime factors of 5498. 2, 2749 List the prime factors of 8839. 8839 List the prime factors of 91484. 2, 22871 List the prime factors of 16984. 2, 11, 193 List the prime factors of 1271. 31, 41 What are the prime factors of 639? 3, 71 What are the prime factors of 1201? 1201 List the prime factors of 1090. 2, 5, 109 List the prime factors of 8352. 2, 3, 29 What are the prime factors of 3098? 2, 1549 List the prime factors of 24. 2, 3 List the prime factors of 1214. 2, 607 What are the prime factors of 71593? 71593 What are the prime factors of 14390? 2, 5, 1439 List the prime factors of 51871. 51871 List the prime factors of 48203. 19, 43, 59 What are the prime factors of 1025? 5, 41 List the prime factors of 16932. 2, 3, 17, 83 List the prime factors of 1708. 2, 7, 61 List the prime factors of 820. 2, 5, 41 What are the prime factors of 121? 11 What are the prime factors of 2652? 2, 3, 13, 17 List the prime factors of 10866. 2, 3, 1811 What are the prime factors of 2724? 2, 3, 227 List the prime factors of 67. 67 What are the prime factors of 56565? 3, 5, 419 List the prime factors of 15137. 15137 What are the prime factors of 5135? 5, 13, 79 What are the prime factors of 25978? 2, 31, 419 What are the prime factors of 12529? 11, 17, 67 What are the prime factors of 14401? 14401 What are the prime factors of 19555? 5, 3911 List the prime factors of 292. 2, 73 List the prime factors of 7578. 2, 3, 421 List the prime factors of 40534. 2, 13, 1559 List the prime factors of 1069. 1069 List the prime factors of 651. 3, 7, 31 What are the prime factors of 68053? 68053 List the prime factors of 8633. 89, 97 List the prime factors of 4353. 3, 1451 List the prime factors of 148. 2, 37 List the prime factors of 7755. 3, 5, 11, 47 What are the prime factors of 11067? 3, 7, 17, 31 What are the prime factors of 28278? 2, 3, 1571 List the prime factors of 36027. 3, 4003 What are the prime factors of 6107? 31, 197 List the prime factors of 7686. 2, 3, 7, 61 List the prime factors of 2513. 7, 359 List the prime factors of 21289. 61, 349 List the prime factors of 125812. 2, 71, 443 What are the prime factors of 11064? 2, 3, 461 What are the prime factors of 43747? 11, 41, 97 List the prime factors of 1079. 13, 83 List the prime factors of 40074. 2, 3, 6679 List the prime factors of 25860. 2, 3, 5, 431 What are the prime factors of 1024? 2 List the prime factors of 22826. 2, 101, 113 What are the prime factors of 91964? 2, 83, 277 List the prime factors of 2550. 2, 3, 5, 17 List the prime factors of 5350. 2, 5, 107 What are the prime factors of 20419? 7, 2917 What are the prime factors of 10924? 2, 2731 What are the prime factors of 30149? 7, 59, 73 List the prime factors of 20194. 2, 23, 439 What are the prime factors of 33242? 2, 11, 1511 What are the prime factors of 4054? 2, 2027 List the prime factors of 12682. 2, 17, 373 List the prime factors of 6146. 2, 7, 439 What are the prime factors of 3912? 2, 3, 163 List the prime factors of 1511. 1511 List the prime factors of 132873. 3, 13, 3407 What are the prime factors of 17741? 113, 157 What are the prime factors of 25902? 2, 3, 1439 List the prime factors of 15502. 2, 23, 337 List the prime factors of 5871. 3, 19, 103 List the prime factors of 5225. 5, 11, 19 List the prime factors of 106938. 2, 3, 13, 457 What are the prime factors of 3717? 3, 7, 59 List the prime factors of 8183. 7, 167 What are the prime factors of 34845? 3, 5, 23, 101 List the prime factors of 92445. 3, 5, 6163 What are the prime factors of 5352? 2, 3, 223 What are the prime factors of 27823? 27823 List the prime factors of 3294. 2, 3, 61 List the prime factors of 27033. 3, 9011 What are the prime factors of 2108? 2, 17, 31 What are the prime factors of 4750? 2, 5, 19 List the prime factors of 1225. 5, 7 List the prime factors of 3685. 5, 11, 67 List the prime factors of 110. 2, 5, 11 What are the prime factors of 11304? 2, 3, 157 What are the prime factors of 11313? 3, 419 What are the prime factors of 3362? 2, 41 List the prime factors of 2358. 2, 3, 131 List the prime factors of 41424. 2, 3, 863 What are the prime factors of 217? 7, 31 List the prime factors of 79195. 5, 47, 337 What are the prime factors of 2827? 11, 257 List the prime factors of 1130. 2, 5, 113 List the prime factors of 31272. 2, 3, 1303 What are the prime factors of 1075? 5, 43 What are the prime factors of 604? 2, 151 What are the prime factors of 143? 11, 13 What are the prime factors of 1733? 1733 List the prime factors of 4579. 19, 241 What are the prime factors of 2395? 5, 479 List the prime factors of 3346. 2, 7, 239 What are the prime factors of 4242? 2, 3, 7, 101 List the prime factors of 33513. 3, 11171 What are the prime factors of 494? 2, 13, 19 List the prime factors of 33553. 13, 29, 89 What are the prime factors of 1565? 5, 313 What are the prime factors of 147746? 2, 31, 2383 List the prime factors of 65. 5, 13 List the prime factors of 2808. 2, 3, 13 List the prime factors of 3562. 2, 13, 137 What are the prime factors of 79618? 2, 7, 11, 47 List the prime factors of 8568. 2, 3, 7, 17 What are the prime factors of 20811? 3, 7, 991 What are the prime factors of 25453? 25453 What are the prime factors of 1656? 2, 3, 23 What are the
{ "pile_set_name": "DM Mathematics" }
ate x(v(k)). -25*k**4 Let s(f) = 5*f. Let x(j) be the second derivative of 11*j**4/4 + j**3/3 - 307*j. What is s(x(w))? 165*w**2 + 10*w Let k(p) = -p. Let f(g) be the third derivative of -g**6/72 + 17*g**3/2 - 10*g**2. Let y(i) be the first derivative of f(i). Give k(y(c)). 5*c**2 Let z(d) be the third derivative of -3*d**4/8 + d**2. Let b(i) be the second derivative of i**3/3 + 11*i - 2. Determine b(z(m)). -18*m Let x(j) = 4*j. Let z(i) = -37*i**2 + 14. Let y(l) = -13*l**2 + 4. Let s(d) = -7*y(d) + 2*z(d). Give s(x(o)). 272*o**2 Let g(l) = 5*l - l - 5*l + 4*l. Let k(a) be the third derivative of 0*a**3 + 0 - 5*a**2 - 1/12*a**4 + 0*a. What is g(k(t))? -6*t Let m(i) = 69*i. Let x(v) = v + 15 + 14 - 29. Give x(m(g)). 69*g Let y(c) = -11*c - 4*c - 3*c. Let x(m) = 8*m**2 + 11*m + 22. Let s(d) = -3*d**2 - 4*d - 8. Let t(j) = 11*s(j) + 4*x(j). Give y(t(b)). 18*b**2 Let b(i) = -i**2. Let x(f) = -41*f**2 - 12242*f - 1. What is x(b(l))? -41*l**4 + 12242*l**2 - 1 Let z(j) be the second derivative of 271*j**4/12 - j - 25. Let c(s) = 5*s**2. Determine c(z(a)). 367205*a**4 Let y(i) be the second derivative of -35*i**3/6 + 3*i + 11. Let t(r) = 14*r**2. Calculate y(t(x)). -490*x**2 Let z(p) = -5*p**2. Let o(b) = -4*b**2 + 3*b. Let c(v) = 3*v**2 - 2*v. Let n(j) = 3*c(j) + 2*o(j). Determine n(z(t)). 25*t**4 Let c(u) = -u**2. Let k(i) = 2395*i**2 + 11*i. Determine k(c(d)). 2395*d**4 - 11*d**2 Let l(n) = 2*n. Let p(o) be the second derivative of -10*o + 2*o**3 + 4*o - o**3. What is p(l(z))? 12*z Let h(v) = 23*v**2. Let d(a) be the third derivative of a**7/5040 + 13*a**5/30 - 15*a**2. Let k(x) be the third derivative of d(x). What is k(h(z))? 23*z**2 Let l(r) = 2*r. Let v(y) = -12 - 37*y - 10 - 1 + 29 - 10. Determine v(l(n)). -74*n - 4 Let x(b) = -16*b + 22*b - 4*b. Let k(v) = -v**2 - 1. What is k(x(w))? -4*w**2 - 1 Let g(r) = -4*r + 6. Let h(n) = 15 - 4*n + 12 - 20. Let l(i) = 5*g(i) - 4*h(i). Let s(t) = t. Give s(l(p)). -4*p + 2 Suppose -3*v + u = -4*u + 28, -2*u = 2. Let k = v - -15. Let q(j) = -j + 2*j + 2*j - k*j. Let l(r) = -2*r**2. Determine q(l(f)). 2*f**2 Let a(r) = -50*r. Let m(z) = 2*z + 1. Let w(i) = -11*i - 5. Let d(x) = 34*m(x) + 6*w(x). Let g(k) = 6*k + 11. Let h(u) = 11*d(u) - 4*g(u). What is h(a(o))? 100*o Let j(z) = -29*z. Let t(a) = -8*a**2 + 4. Let x(o) = o**2 - 1. Let s(b) = t(b) + 4*x(b). Determine s(j(m)). -3364*m**2 Let f(m) be the second derivative of -m**4/6 - 5*m + 50. Let b(d) be the third derivative of 19*d**5/60 - 3*d**2. Give b(f(y)). 76*y**4 Let w(f) = f**2. Let m(s) = -315827*s. Determine w(m(g)). 99746693929*g**2 Let n(k) = -286*k. Let t(f) = 2*f**2 + 9. Give t(n(b)). 163592*b**2 + 9 Let k(p) = -798*p**2. Let o(a) = -2*a**2 + 9*a - 9. Let z(h) = -h**2 + 6*h - 6. Let d(r) = 2*o(r) - 3*z(r). Determine k(d(q)). -798*q**4 Let f(b) = -3*b**2. Let v = -50 - -51. Let s(k) = 0*k + v - 2*k - 1. Calculate f(s(j)). -12*j**2 Let v(r) = 3*r**2 + 3. Let s = -27 - -29. Let x(z) = 2 + s - 5. Let l(w) = -v(w) - 3*x(w). Let h(y) = -y**2. Give h(l(g)). -9*g**4 Let g(i) = 2*i. Let b(m) = -9*m**2 - 4096*m. Give b(g(n)). -36*n**2 - 8192*n Let v(z) be the third derivative of z**5/24 - 2*z**3 + 7*z**2. Let o(m) be the first derivative of v(m). Let t(x) = -4*x**2. What is t(o(j))? -100*j**2 Let t(s) be the third derivative of -s**4/6 + s**2 - 21. Let h(x) = 28*x**2. What is t(h(g))? -112*g**2 Let p(g) = -56*g. Let h(f) be the second derivative of f**5/120 - 5*f**3/3 - 30*f. Let j(z) be the second derivative of h(z). What is j(p(m))? -56*m Let f(n) = -112*n + 5. Let g(x) = -4*x. Calculate f(g(m)). 448*m + 5 Let f(d) = -d. Let h(p) = 146023*p**2. Calculate h(f(v)). 146023*v**2 Let f(w) = -3*w**2. Let j(u) = -18883*u**2. Determine f(j(l)). -1069703067*l**4 Let i(g) = g**2 - 6877*g + 6877*g. Let u(q) = 164*q**2. What is u(i(l))? 164*l**4 Let k(w) = 143*w**2 + 2*w. Let b(i) = 1715*i**2 + 25*i. Let j(c) = 2*b(c) - 25*k(c). Let g(z) = -2*z. Give g(j(m)). 290*m**2 Let i(o) be the second derivative of o**4/12 + 23*o. Let v(a) = -a**2 + 11*a - 8. Let c be v(10). Let d(m) = 3*m**2 - c + 0 + 2. Determine d(i(z)). 3*z**4 Let y(x) = x**2. Let s = 42 + -38. Let z(i) = s*i**2 + 95*i**2 - 38*i**2. What is y(z(o))? 3721*o**4 Let x = -6 - -13. Suppose k + 3*k - 40 = -5*t, 4*k - 16 = t. Let v(a) = t*a + a - x*a. Let i(q) = -4*q**2. Determine v(i(j)). 8*j**2 Let p(b) be the third derivative of b**4/6 + 21*b**2 + 5. Let z(x) = 8*x. What is z(p(v))? 32*v Let b = 541 + -541. Let l(m) be the third derivative of b*m**3 - 5*m**2 + 0*m + 0 + 1/12*m**4. Let n(q) = -10*q. Give l(n(s)). -20*s Let x = -5 + -12. Let k = -14 - x. Let b(m) = 8*m - k - 2 + 5. Let u(a) = 2*a. Give b(u(r)). 16*r Let q(v) be the second derivative of v**3/3 + 23*v - 2. Let g(s) = -2*s**2 - 25*s. Determine q(g(b)). -4*b**2 - 50*b Let t(f) be the third derivative of f**7/2520 + 11*f**4/8 + 7*f**2. Let p(d) be the second derivative of t(d). Let q(h) = -21*h**2. Give q(p(g)). -21*g**4 Let y(w) = -5*w. Let j(n) = -1601*n**2. Determine y(j(z)). 8005*z**2 Let r(t) = 20*t - 7*t + 3*t. Let b(c) be the first derivative of 2*c**3/3 - 17. What is r(b(v))? 32*v**2 Let g(o) = -17642*o. Let h(n) = 93*n**2 + n. Calculate h(g(m)). 28945335252*m**2 - 17642*m Let g(x) be the third derivative of x**5/60 - x**2. Let l be 150/20 - (-6)/4. Let i(a) = 3*a - l*a + 8*a. Determine g(i(f)). 4*f**2 Let y(a) = a. Let p(n) be the first derivative of -n**4/2 + 12*n + 6. Let u(q) be the first derivative of p(q). Give y(u(f)). -6*f**2 Let t(a) be the second derivative of 2*a**3/3 + a. Let g(c) be the first derivative of -1/3*c**3 + 0*c**2 + 0*c + 1. What is g(t(w))? -16*w**2 Let w = -34 + 93. Let q(d) = -w*d + 28*d + 25*d. Let r(u) = 4*u**2. Calculate q(r(n)). -24*n**2 Let w(n) = -41*n**2. Let m(q) = 2362*q + 2. Determine m(w(p)). -96842*p**2 + 2 Let y(i) = 25 - 3090*i**2 + 3089*i**2 - 25. Let z(w) = -8*w**2. Give z(y(t)). -8*t**4 Let i(r) = -r**3 - 9*r**2 - r + 7. Let j be i(-9). Suppose -4*h - j = -4*l, 5*l - 2 = -h - 0. Let q(g) = 0 - 1 - 3*g + l. Let z(v) = v. Calculate z(q(o)). -3*o Let z(l) = 3*l. Let q(d) = -27*d. Let w(s) = 4*q(s) - 12*z(s). Let o(h) = h**2. What is o(w(x))? 20736*x**2 Let u(l) = -52*l. Let w(c) be the first derivative of -c**2 - 217. What is w(u(t))? 104*t Let m(r) = -26*r - 19*r + 47*r. Let w(a) be the second derivative of -a + 0*a**2 + 0 + 0*a**3 + 1/6*a**4. Calculate m(w(l)). 4*l**2 Let g(b) = 8*b + 4. Let w(x) = -7*x - 3. Let n(p) = -6*g(p) - 8*w(p). Let m be (1 + -2 - -7) + 2. Let z(u) = -4 + 9*u + 4 - m*u. Determine z(n(v)). 8*v Let m(t) = -2*t. Let i(o) = -812678*o**2. Give i(m(u)). -3250712*u**2 Let n(b) = -b. Let w(t) = 128*t - 6. Let m(k) = -257*k + 15. Let h(d) = -3*m(d) - 7*w(d). Give h(n(o)). 125*o - 3 Let f(a) = 11719*a**2 - 2. Let c(s) = 8*s. Give c(f(g)). 93752*g**2 - 16 Let m(a) = 33*a - 1. Let q(x) = 8*x - 3. Let s(u) = 22*u - 8. Let n(t) = -8*q(t) + 3*s(t). Calculate m(n(j)). 66*j - 1 Let q(b) = 7 - 7 + 86*b - 95*b. Let g(k) = -218 + 218 + 3*k**2. What is q(g(l))? -27*l**2 Let l(z) be the first derivative of 2*z**3/3 - 1. Let f(o) = 17*o**2 - 4*o + 2. Let q(b) = 25*b**2 - 6*b + 3. Let a(g) = -3*f(g) + 2*q(g). Give a(l(p)). -4*p**4 Let h(b) = 11552*b**2. Let k(c) = 27*c**2. Determine h(k(q)). 8421408*q**4 Let s(g) = 14*g**2 + 12*g - 3. Let c be s(-3). Let r(v) = -c + 45 - 3*v + 42. Let a(p) = 50*p**2. What is a(r(b))? 450*b**2 Let k(j) = 24*j. Let f(p) = p**2 + p - 6. Let l be f(4). Let w(v) = 2*v. Let d(q) = 13*q. Let u(r) = l*w(r) - 2*d(r). What is k(u(c))? 48*c Let o(c) = 34*c. Let m(l) be the third derivative of l**5/12 - l**2 - 3*l. Determine o(m(d)). 170*d**2 Let z(l) = 2*l**2. Let q(x) = 47307*x**2. Calculate q(z(f)). 189228*f**4 Let o(n) = 2*n**2. Let i(a) = a**2 + 11*a - 32. Let h be i(-13). Let w(x) = x**2 - x + 1. Let f(s) = 7*s**2 - 6*s + 6. Let k(r) = h*w(r) + f(r). Give o(k(b)). 2*b**4 Let q(k) = -4 + 4*k + 4. Let x(f) = -23*f**2 - 29*f**2 + 53*f**2 + 6. Let u(z) = z**2 + 5. Let p(r) = 6*u(r) - 5*x(r). Determine q(p(n)). 4*n**2 Let p(b) = 2*b**2. Let y(v) be the third derivative of -v**7/5040 - v**5/5 - 4*v**2. Let n(i) be the third derivative of y(i). Give p(n(l)). 2*l**2 Let j(s) = 18*s - 50*s + 17*s + 21*s**2 + 15*s. Let r(t) = -11*t. Determine r(j(k)). -231*k**2 Let g(j) = 171*
{ "pile_set_name": "DM Mathematics" }
84/6 + 1 + -1. Let p = a + -300. Let b = -5825 - -5871. What is the common denominator of b and p? 3 Let r(f) = 7*f - 11. Let x be r(-5). Calculate the common denominator of -3/8 and 16/(-24)*150/x. 184 Let h(z) = z**2 - 4*z - 5. Let v(x) = x**3 + x**2 - 3*x + 1. Let a be v(2). Calculate the least common multiple of h(a) and 16. 16 Let z = 50 - 44. Suppose -3*j + 44 = 2*j + 2*k, -3*k = -z. Calculate the least common multiple of j and 6. 24 Let x = -1472566/1107 - -46322/123. Let a = -954 - x. What is the common denominator of -44/9 and a? 27 Let n = 63 + -58. Suppose 2*r + 4*o = 64, 0*o - 66 = -2*r - n*o. Calculate the common denominator of r and 31/8. 8 Suppose 0 = -5*z + 447 + 443. Calculate the lowest common multiple of 4 and z. 356 Let j be 1*(1 + 2 - 6). Let x = j + -5. What is the common denominator of 85/6 and (1/3)/(x/(-558))? 12 Let u = 8 - 10. Let x be (-22621)/210 + u/5. Let l = -926/7 - x. What is the common denominator of l and 29/22? 66 Find the common denominator of (-1)/3 - 186/(-155) and -25/6. 30 Suppose h = 5*h + 60. Calculate the lowest common multiple of 52/6 + (-5)/h and 17. 153 Let c = 2983/1392 - 7/87. Find the common denominator of c and -5/71. 1136 Suppose 203 = 3*b + 5*l + 29, 115 = 2*b + 3*l. Let q = -43 + b. Calculate the smallest common multiple of 8 and q. 40 Let u = 3186 - 9440/3. Let v = -862/21 + u. Find the common denominator of v and -1 + 1 + (-34)/(-20). 70 Let p(b) = -2*b - 18. What is the least common multiple of p(-19) and 36? 180 Let z = -22141/6 + 3700. Let x = -29081/18 + 1616. Find the common denominator of z and x. 18 Find the common denominator of ((-9)/18 - 1)/((-42)/(-178)) and -113/78. 546 Suppose 3165 = 53*n - 2241. What is the least common multiple of n and 8? 408 Let j = 70/5363 - -1116893/1126230. Find the common denominator of 85/273 and j. 2730 Suppose g + 3*g = 436584. Let p be 1*-3 + g/66. Let s = 1649 - p. Find the common denominator of -133/6 and s. 66 Suppose 16*u = -5*d + 15*u + 95, 0 = 4*d + u - 75. Calculate the lowest common multiple of d and 10. 20 Suppose -3*o + 345 = 3*f, o + 463 = 4*f + 6*o. What is the smallest common multiple of f and 4? 112 Suppose -2*n - 3*y - 3 = 4, 10 = 4*n - 2*y. Let z(r) = -r**3 + 4*r**2 + 2*r + 1. Calculate the lowest common multiple of n and z(0). 1 Let y(p) = p**3 + 42*p**2 + 40*p - 13. Calculate the least common multiple of 58 and y(-41). 812 Suppose -6*q = -2*q. Suppose 4*b - 2*b - 16 = q. Suppose -3*g - d + 25 = 0, -2*g = 5*d - 3 + b. Calculate the lowest common multiple of g and 4. 20 Let c(t) = -t**3 + 2*t**2 + 3*t + 3. Let l be c(3). Suppose 18 - 6 = l*n. What is the least common multiple of 6 and n? 12 Let d = -347/10 + 56/5. Let m(v) = v**3 + 4*v**2 + 2*v + 6. Let t be m(-4). What is the common denominator of t/(-22)*289/34 and d? 22 Let w = 2035 + -2053. Find the common denominator of -101/52 and w. 52 Let t = 13309/11 + -1214. Let s be (-20)/(-255) - (-4)/(-6). Let u = 16/85 + s. Calculate the common denominator of u and t. 55 What is the common denominator of 119/30 and (6/(-288))/(6/786)? 240 Let n = -235/374 - 9076/5049. Calculate the common denominator of n and 83/126. 378 Let h(a) = -2*a - 7. Suppose 0 = -t - 4*c - 12 + 4, 3*t + 2*c = -14. Calculate the least common multiple of h(t) and 20. 20 Let q be (0 - -1) + 24 + 4. Suppose p - q = 55. Calculate the least common multiple of 10 and p. 420 Let a be ((-18)/15)/(4/(-20)). Suppose -3*w + t + 10 = 0, -3*t - 4 = -2*w - 2. Suppose w*y - y = a. Find the common denominator of y and 11/12. 12 Suppose 0 = 11*t + 8 - 41. What is the common denominator of 55/24 and ((-11)/((-4356)/(-405)))/(t*-1)? 264 What is the lowest common multiple of (-6)/(-3)*(-1 - -3) and 194? 388 Suppose 21*b - 24*b = k - 32, 2*k = 5*b - 68. Calculate the lowest common multiple of b and 10. 60 Suppose 17 = 4*v + d, 4*v + 5*d = 2 + 19. Suppose -4*n = -5*z + 1, -n - 17 = -z + v*n. What is the least common multiple of 28 and z/12 - 65/(-20)? 84 Let g = 117105869/33968 - 207/2123. Let k = 3450 - g. Find the common denominator of 2/(-6) + (-251)/(-42) and k. 112 Suppose 4*x - 2 + 34 = 0. Let l = 3 - x. Let n(m) = m**3 - 4*m**2 + 3*m - 4. What is the smallest common multiple of n(4) and l? 88 Let d(w) = -w + 4. Let u be d(-2). What is the smallest common multiple of 2 and (-80)/(-28)*21/u? 10 Find the common denominator of 538/(-245) - (-8 - -7 - 1) and 41/11. 2695 Suppose -10*t + 20 = -12*t. Let n be 18333/t + (-5)/25. Let g = 1875 + n. Calculate the common denominator of -151/24 and g. 24 Let q = -1 + 6. Suppose -5*a + q = -15. Suppose 37 = 2*d + p, -2*p - 112 + 42 = -a*d. What is the least common multiple of d and 12? 36 Suppose x - 10*x = 0. What is the common denominator of x/(-1) + (-1914)/(-484) and (-2)/20*33 + -1? 110 Let q = -257 - -260. Let u(f) = -f**2 - 12*f - 3. What is the lowest common multiple of u(-11) and q? 24 Let w = -147539 + 55769687/378. Find the common denominator of w and 115/98. 2646 Let g(o) = 26*o - 55. Calculate the lowest common multiple of g(4) and 532. 3724 Let g = 284 + -169. Calculate the smallest common multiple of 6 and 1656/g + (-2)/5. 42 Calculate the common denominator of (-342)/8*12/180*-1 and -38/25. 100 Let q(y) = 8*y + 33. What is the least common multiple of 33 and q(-3)? 99 Let f be (-9)/2 + 3/(-6). Let l = f + 1. Calculate the common denominator of -5/48 and (-31)/l - (-40)/10. 48 Find the common denominator of -51/5 and (-8)/14 + (380/(-168) - 6). 30 Calculate the common denominator of 166/(-9)*(-27)/(-126) and -37/33. 231 Let b be 5/30*2904/22. Suppose -2*w - 122 = -12. Calculate the least common multiple of (-6)/(-10) - b/w and 4. 4 Let m = 1670 - 1398. What is the smallest common multiple of 10 and m? 1360 Let h be 2496188/(-517020) - 2/(-5). Let v = h + -2/3693. What is the common denominator of v and 2/(-4)*138/(-4)? 28 Let n(i) = -2*i - 1. Let g be (-6)/(-20)*1/18*-49846. Let r = g + 2516/3. Calculate the common denominator of r and n(3). 10 Let f = -1215329/60 + 20256. What is the common denominator of -157/30 and f? 60 Let u = -1783538559/16163 - -110347. Let j = -404113/307097 + u. Find the common denominator of -27/7 and j. 133 Let g(j) = j**3 - 4*j**2 - 5*j - 8. Calculate the lowest common multiple of 4 and g(6). 68 Let k = 1948531/42 + -46391. What is the common denominator of -59/96 and k? 672 Let a(m) be the first derivative of 6*m**2 + 80*m + 40. What is the smallest common multiple of a(-6) and 13? 104 Let j = -2/8891 + -720143/124474. Calculate the common denominator of j and -57/7. 14 Let b = 29 + -44. Suppose -5*n = -5*m - 890 - 320, 0 = -2*m + 3*n - 480. What is the common denominator of (-6)/b + m/140 and 89/20? 140 Let f be 39/(-45)*39695*(-1)/6. Let o = -5730 + f. What is the common denominator of o and 43/18? 18 Let j(f) = -f**3 + 11*f**2 - f + 31. Let n be ((-24)/(-120))/((-2)/(-110)). Calculate the lowest common multiple of j(n) and 6. 60 Calculate the common denominator of 37/8 and (1 - 10/12)*(-3348)/1308. 872 Let f(l) = 7*l**3 + 6*l**2 + 4*l + 3. Let n be f(-3). Find the common denominator of -50/27 and (1 - 3)*388/n. 54 Let b be (-13)/(-6) + 2/(-12). Suppose -5 + b = 3*y, -2*v = 4*y - 26. What is the common denominator of 1*1/(v/(-57)) and 39/10? 10 Let t = 1160 + -1150. What is the least common multiple of 20 and t? 20 Suppose 0 = -11*v + 27*v - 160. What is the smallest common multiple of v and 790? 790 Let k(n) = -n + 3. Let t be k(3). Let r(h) = -h**2 + h + 3. Let j(b) = -5*b + 52. What is the smallest common multiple of r(t) and j(10)? 6 Let v = -66 + 75. Let c = 154 - 599/4. What is the common denominator of (v/6)/(1 - 110/128) and c? 12 Let j = 472 + -492. Calculate the common denominator of ((-4)/(-10))/(12/(-235)) and j. 6 Let k = -37 - -55. Find the common denominator of 0 - (1 - (-178)/(-16)) and k/(-32) - (4 + -8). 16 Find the common denominator of 12/25 and 4/(-22) - (7930/(-2475) - -1). 225 Let j = 1000 - 866. What is the lowest common multiple of j and 6? 402 Let x be (569460/(-80))/((-1266)/4). Let j be (-808)/3798 - 4/(-18). Let s = x + j. What is the common denominator of s and 117/20? 20 Let c(q) = 2*q**2 - 30*q - 14. What is the smallest common multiple of c(16) and 39? 234 Let z = 1837314 - 275595877/150. Let x = 9/50 + z.
{ "pile_set_name": "DM Mathematics" }
7, 5, 2, 3? 2 Which is the closest to 1? (a) 4 (b) 2/5 (c) 0 b What is the closest to -0.2 in 5, -3, -0.05, 11? -0.05 Which is the closest to -0.1? (a) 0.4 (b) 4/67 (c) 0.5 b What is the nearest to 10 in -3, -2/7, 127? -2/7 Which is the nearest to 61? (a) 55 (b) -2 (c) -1 a Which is the nearest to -2/57? (a) 0.02 (b) 4 (c) -4/9 a Which is the nearest to -1/3? (a) -2/15 (b) 4/7 (c) -2 (d) 4 a What is the closest to 1 in 4, 3/7, -0.11, -4/5? 3/7 Which is the closest to 1/2? (a) -1.4 (b) -1 (c) -3 (d) 0.1 d What is the closest to 0 in -26, -3, -0.4? -0.4 Which is the closest to -0.1? (a) 1/189 (b) -1/9 (c) -2/5 (d) -1/2 b Which is the nearest to 0? (a) 0 (b) 5/3 (c) -2 (d) -1 a Which is the closest to 2? (a) 4 (b) 0.17 (c) -2/11 b What is the closest to 0 in 16, -5, 2, 3/4? 3/4 Which is the closest to -1/4? (a) -0.0058 (b) -3 (c) -4/5 (d) -1/2 a Which is the closest to -1? (a) -5 (b) 13 (c) -3 (d) 1/4 d What is the nearest to -0.1 in 1.9, -48, 1/6? 1/6 What is the closest to -1 in 0.01, 26, 2/9, -2? -2 Which is the closest to -0.054? (a) 5 (b) -9 (c) 0.3 c Which is the nearest to -1/4? (a) 0 (b) 1.08 (c) -2/15 c What is the closest to -1 in 1/2, -1/7, -5? -1/7 What is the closest to 0.5 in 0.4, -3.6, 1/6? 0.4 Which is the closest to -1/3? (a) 2/11 (b) 2 (c) -6 a What is the nearest to 2 in 0.4, -3, 1/6? 0.4 Which is the nearest to 1? (a) -7 (b) -10 (c) -4 c Which is the closest to 1? (a) -0.03 (b) -0.2 (c) 1/26 (d) 4 c Which is the closest to 12? (a) -1 (b) -0.09 (c) -1/5 b Which is the closest to 10/21? (a) -0.2 (b) 2/3 (c) 2/5 c What is the nearest to -0.1 in -1.3, -4, 1/3? 1/3 Which is the nearest to 3? (a) 4 (b) -5 (c) -2 (d) -0.2 a Which is the nearest to -0.1? (a) -2 (b) 44 (c) 4 a Which is the nearest to -0.6? (a) -1 (b) 0.3 (c) -4/9 c What is the nearest to -7 in -6, -4, -13, 1? -6 What is the nearest to 5/3 in 0.2, 4/5, -8, -2/7? 4/5 Which is the nearest to -1? (a) 156 (b) -5 (c) -1/3 c What is the nearest to -0.1 in 1, -4/11, -0.4? -4/11 Which is the nearest to 0? (a) 7/16 (b) 0.3 (c) 1 (d) 0.4 b Which is the nearest to 0? (a) -3/5 (b) 2/7 (c) 1/3 b Which is the closest to -1/6? (a) -14/5 (b) -0.27 (c) 3 b What is the closest to -0.1 in 92, 2, 0.4, 2/3? 0.4 Which is the closest to 11? (a) 0.4 (b) 1 (c) 5 c What is the nearest to -31 in 4, -0.1, -5? -5 What is the nearest to 0 in 4, -0.02, 0.19, -3? -0.02 What is the nearest to 0.01 in 0.4, -0.4, -0.3? -0.3 What is the closest to -2/11 in -0.3, -2/25, -7, -0.1? -0.1 What is the nearest to 2/5 in -0.2, 1/11, 59, 2/7? 2/7 Which is the nearest to 9? (a) 2 (b) 3 (c) -7 (d) -0.07 b Which is the closest to 1? (a) -2/3 (b) 2/23 (c) 3/2 (d) 0.01 c What is the closest to -0.1 in 3/10, -2/15, 8, -3/2? -2/15 Which is the nearest to -2/3? (a) -3/2 (b) -2 (c) -19 a What is the closest to -0.011 in -4/7, -3/2, 5? -4/7 Which is the closest to 1? (a) 126 (b) 0 (c) -0.2 b Which is the closest to -1? (a) -3.4 (b) 0 (c) -1/2 (d) 2/17 c What is the nearest to -1 in 9, 5, -23, 2? 2 What is the nearest to 2/7 in -1/2, 0.1, -1, 0.46? 0.46 Which is the closest to 1/3? (a) -0.1 (b) -131 (c) 1/3 (d) 0 c What is the closest to -2/3 in -2/19, -11, -0.2? -0.2 Which is the closest to -4/7? (a) 5 (b) -4 (c) 0.13 c Which is the nearest to 1? (a) 5 (b) -2/9 (c) 15 b What is the closest to 0.01 in -3, 2/3, -1? 2/3 Which is the closest to -0.24? (a) 6 (b) 1 (c) -1/2 (d) 0 d What is the closest to 2/3 in -5/6, -68, -4, 3? -5/6 What is the closest to 3 in -0.2, -2/31, 12? -2/31 Which is the closest to 3? (a) 18 (b) -2/3 (c) 5/6 c What is the nearest to -1/13 in -1/4, -3, -3/5? -1/4 Which is the nearest to 0.1? (a) -5 (b) 1/4 (c) 0.4 (d) -54/11 b What is the nearest to -1/3 in 2, -5/8, 2/5, 5? -5/8 Which is the closest to 1? (a) 0.286 (b) 1/7 (c) 4 a Which is the closest to 0.1? (a) 5 (b) 0.01 (c) -16 b Which is the nearest to 0.1? (a) -4 (b) 0.1 (c) -81 (d) 2/7 b What is the nearest to 1/4 in 56, 1, 0.05? 0.05 Which is the nearest to -0.2? (a) 18 (b) 2 (c) 20 b What is the closest to -1 in 1/289, 1, -1? -1 Which is the closest to -3? (a) -5 (b) 1/9 (c) -41 a Which is the nearest to 0.1? (a) -0.5 (b) 0.5 (c) 360 b What is the nearest to -21 in 3, 1, -2/15, 1/10? -2/15 What is the nearest to 68/13 in -2/11, 1/8, -0.3? 1/8 What is the nearest to -0.1 in 0, 2, -15, -11? 0 What is the closest to 0.4 in -1, -1/13, -1/6? -1/13 Which is the closest to 180? (a) 2/15 (b) -0.5 (c) 2/7 (d) -1 c Which is the closest to 36? (a) 0.5 (b) -5/6 (c) -3 (d) 5 d What is the nearest to 0 in 0.4, 5, -2/13, -4/3? -2/13 Which is the nearest to -1/2? (a) 3/5 (b) 1 (c) 0.3 c Which is the closest to -138? (a) 6/11 (b) 4 (c) 3 (d) -0.4 d Which is the nearest to -2/3? (a) 1/4 (b) -994 (c) -0.4 c Which is the nearest to -1/2? (a) -2/25 (b) 1 (c) -0.13 (d) -5 c What is the closest to 0 in -1, 0, 2, -1/5? 0 Which is the nearest to 1? (a) 0.0244 (b) -3/5 (c) 0.5 (d) -2 c What is the nearest to 1 in 0, 1, 3? 1 What is the closest to -0.1 in -10, 6, -8? 6 What is the nearest to -1 in 2/19, -53, -2, -1/6? -1/6 What is the nearest to 3 in -2, -1.9, 4, 3? 3 What is the nearest to 2/5 in 3/2, -3, -1/6, -1? -1/6 Which is the closest to 7? (a) 10 (b) 0.4 (c) -2/11 a Which is the closest to -1? (a) 0.5 (b) 1219 (c) 0 c What is the closest to 0 in 77, 1/5, -1? 1/5 Which is the closest to -1? (a) 0.096 (b) -3 (c) 2 (d) -2 d Which is the closest to 2? (a) -2 (b) -1/3 (c) -11 b What is the closest to 4 in -0.1, 5, -4, 4? 4 Which is the nearest to -6/11? (a) 0.4 (b) 6 (c) -0.5 (d) 5 c What is the nearest to 2 in -39/11, 1/2, 0.4? 1/2 What is the nearest to 2/3 in 4, -7, 1/6, 7? 1/6 Which is the closest to 0.1? (a) 0.5 (b) 3 (c) -13 a Which is the nearest to 82? (a) 1/3 (b) -4 (c) -2/9 (d) 4/9 d Which is the nearest to 0.1? (a) 0.1 (b) 48 (c) -2/11 (d) 2/21 a Which is the nearest to -1/4? (a) -0.3 (b) -1/3 (c) 5/3 a What is the closest to 0.2 in 427, -0.3, -1? -0.3 Which is the closest to -2? (a) -8 (b) 0.1 (c) 42 b What is the nearest to 1 in -0.3, 3, 65, 3/5? 3/5 Which is the nearest to 1/3? (a) -6 (b) 0.06 (c) 3 (d) 14 b What is the closest to 0 in -5, -1, -1/2, -0.2? -0.2 Which is the closest to -1? (a) 2 (b) -0.18 (c) 4 b What is the nearest to -2/11 in -2, -3/10, 3/2, 0.03? -3/10 What is the closest to -2 in 1919, 0.1, -5? 0.1 Which is the closest to 0? (a) -5/12 (b) 0 (c) -1/4 (d) -2/5 b Which is the nearest to -63? (a) 0.04 (b) 5 (c) 1/6 a Which is the nearest to -1? (a) -0.07 (b) -5 (c) 9 a Which is the closest to 0? (a) -0.3 (b) -0.13 (c) -1/5 (d) -1/2 b Which is the nearest to -0.2? (a) 3 (b) -0.2 (c) -0.11 b What is the closest to -5/2 in -3, 6, 1? -3 What is the nearest to 10 in -2/3, 2/449, 2/21? 2/21 What is the nearest to 0.1 in -241, 0.3, -0.5? 0.3 What is the nearest to -0.2 in -0.2, 14/11, 3, -5? -0.2 What is the closest to 1 in -0.4, 6.4, 0.1, -0.3? 0.1 Which is the nearest to 2? (a) 0.1 (b) 2 (c) 2.4 (d) 1 b Which is the nearest to -7? (a) 3 (b) -3/7 (c) -5 c What is the closest to -3 in -0.3, -2/141, -4? -4 Which is the closest to 0.1? (a) 3 (b) -17 (c) -0.5 c What is the nearest to 2/9 in -249, -0.3, 2, 3/8? 3/8 Which is the nearest to 0? (a) 0.3 (b) -1 (c) -0.217 (d) -0.2 d What is the nearest to 0.1 in -2/83, 2/9, -3? 2/9 What is the closest to 0 in 0, -3, -0.54? 0 What is the closest to -4/17 in -34, 0, -0.1? -0.1 What is the closest to -1/4 in -1/3, 1, -0.01? -1/3 Which is the closest to 0.1? (a) -13 (b) 2/9 (c) 14.4 b Which is the nearest to 77? (a) -0.3 (b) 3 (c) 0 b What is the nearest to -2/11 in -501, -2, -1? -1 What is the closest to -2/59 in -16, 0.5, 6? 0.5 What is the nearest to -2 in 2, -1, 5, 0.1? -1 Which is the closest to -1? (a) 10 (b) 4/7 (c) 2 b Which is the nearest to -1/3? (a) -4 (b) 0 (c) 0.2 (d) 3/5 b Which is the closest to -5? (a) -3 (b) 3 (c) -5 c Which is the nearest to 253/5? (a) 0.1 (b) 3 (c) 4/7 b What is the nearest to -4 in -3, -6, -0.3, -0.5? -3 What is the closest to -1/3 in -2, 2/15, 2, 1? 2/15 What is the nearest to 2 in 0.021, -10, -0.2? 0.021 Which
{ "pile_set_name": "DM Mathematics" }
third derivative of -11*a**6/60 - 5*a**4/6 + 12*a**2. What is the second derivative of u(x) wrt x? -132*x Let x(z) be the third derivative of z**8/6720 + z**6/144 - z**5/10 - 5*z**2. Let m(o) be the third derivative of x(o). What is the derivative of m(l) wrt l? 6*l Let p = 2 + 5. Let j = 11 - p. What is the second derivative of 0*x**4 + 3*x - x**4 + 3*x**j wrt x? 24*x**2 Let k(j) be the first derivative of 44*j**3/3 + 23*j - 25. Differentiate k(i) with respect to i. 88*i What is the second derivative of -1 - 3*d**5 - 2162*d**3 + 2162*d**3 - 8*d**4 + 3*d wrt d? -60*d**3 - 96*d**2 Let w(d) = 2*d**2 - d - 2. Let h be w(2). Suppose j = -h*j + 10. Find the third derivative of 0*v**j - v**2 + v**3 - 2*v**3 wrt v. -6 Let x(b) be the first derivative of 2*b**3/3 - 3*b + 1. Differentiate x(g) wrt g. 4*g Let t(s) = s**2 + 1. Let m(o) = -21*o**4 - 2*o**2 + 20*o - 2. Let b(q) = m(q) + 2*t(q). Find the second derivative of b(p) wrt p. -252*p**2 Let v(s) be the first derivative of -6*s**6 - 32*s**2 - 17. What is the second derivative of v(q) wrt q? -720*q**3 Let h be ((-2)/(-4))/(1/4). Let i be (-4 - -2)*h/(-4). Differentiate t - 3 - 2*t + i wrt t. -1 What is the third derivative of -36*o**6 - 151*o**2 + 122*o**2 - 4 + 4 wrt o? -4320*o**3 Let f(r) = 5*r**4 - 6*r**3 + 1. Let i(y) = 10*y**4 - 11*y**3 + 1. Let c(u) = -11*f(u) + 6*i(u). What is the first derivative of c(t) wrt t? 20*t**3 What is the second derivative of -2*n**5 + 13*n**5 - 20*n + 4*n**5 wrt n? 300*n**3 Differentiate f + 1 - 5*f + f + 2*f with respect to f. -1 Suppose -10 + 2 = -2*i. Find the first derivative of -2 + 0*g - g + i*g wrt g. 3 Let n(h) be the first derivative of 5*h**4/2 + 11*h**3/3 + 4. What is the third derivative of n(f) wrt f? 60 Let z(q) be the second derivative of -29*q**4/12 + 3*q**2/2 - 28*q. What is the derivative of z(i) wrt i? -58*i What is the first derivative of 6*f + 9*f**2 + 7 + 0*f - 6*f wrt f? 18*f Let d(q) = -11*q**2 + 2*q + 11. Let i(y) = 5*y**2 - y - 6. Let z(k) = -2*d(k) - 5*i(k). Find the second derivative of z(n) wrt n. -6 Let x(b) = b**4 + b**2 + b - 1. Let a(v) = -20*v**4 + 25*v**2 + 3*v - 3. Let w(r) = a(r) - 3*x(r). Find the third derivative of w(z) wrt z. -552*z Let c(m) = -m. Let d(n) = -n**2 - n. Let h = -17 - -11. Let y be -3*(1 - 2)/1. Let t(f) = h*c(f) + y*d(f). Find the second derivative of t(r) wrt r. -6 Suppose -m - 2*m + 15 = 0. Differentiate -3*u**3 + 2 - m + 5*u**3 wrt u. 6*u**2 Suppose 0*l + l = 2. Find the third derivative of o**2 + 0*o**2 - l*o**4 - 3*o**4 + 3*o**4 wrt o. -48*o What is the derivative of -25 - z - 1133*z**3 + z + 1116*z**3 wrt z? -51*z**2 Let k = -14 - -5. Let g(y) = -y - 3. Let t be g(k). Find the third derivative of a**2 + 3*a**2 - 2*a**6 + 3*a**t wrt a. 120*a**3 Let s(k) be the first derivative of 7*k**6/6 + 17*k**2/2 - 8. Find the second derivative of s(v) wrt v. 140*v**3 Let w(g) = 39*g**3 - 11*g**2 - 11*g - 93. Let b(n) = 13*n**3 - 4*n**2 - 4*n - 31. Let c(x) = -11*b(x) + 4*w(x). What is the derivative of c(i) wrt i? 39*i**2 Suppose -2*k = -0*k. Find the second derivative of l**4 - 2*l**3 - 3*l + 2*l**3 + k*l**4 wrt l. 12*l**2 Suppose -4*m + 15 = m + 2*r, -m + 3*r + 3 = 0. What is the third derivative of 4*y**2 - 6*y**6 + 4*y**m + 3*y**2 - 4*y**3 wrt y? -720*y**3 Let v = -1 - -7. Let z(h) be the first derivative of 0*h - 2/3*h**3 + 0*h**v + 0*h**4 + 0*h**2 - 1/7*h**7 + 0*h**5 + 1. Find the third derivative of z(m) wrt m. -120*m**3 Let h(w) = 2*w - 12. Let b be h(9). What is the first derivative of b + 0*c + c - c - 2*c**4 wrt c? -8*c**3 Let u = 22 + -16. Find the third derivative of -7*i**6 - i**u + 6*i**6 + 4*i**2 wrt i. -240*i**3 What is the first derivative of -16*z - 1 + 22*z - 19*z wrt z? -13 What is the second derivative of g**3 - 3*g**3 - g**5 - 2*g + 2*g**3 wrt g? -20*g**3 Let i(h) be the first derivative of 9/4*h**4 + 0*h**2 + 4 + 0*h**3 + 2*h. What is the first derivative of i(u) wrt u? 27*u**2 Let g(h) = h**3 + 2*h**2 - 5*h - 4. Let t be g(-3). What is the third derivative of 5*l**t - 6*l**3 - l**2 - 10*l**2 wrt l? -36 Let h(b) = -6*b**4 - 8*b**3 - 8*b + 44. Let s(x) = -x**3 - x + 1. Let v(w) = h(w) - 8*s(w). Find the first derivative of v(z) wrt z. -24*z**3 Find the first derivative of 81 + 0*q**3 + 8*q**4 + 0*q**3 - 79 wrt q. 32*q**3 Let h(i) be the first derivative of -9/4*i**4 + 11 + 10/3*i**3 + 0*i + 0*i**2. What is the third derivative of h(w) wrt w? -54 Let v(r) = -r - 3. Let s be v(0). Let o = 1 - s. Find the third derivative of -5*w**o + 5*w**4 - 2*w**2 - w**6 wrt w. -120*w**3 Suppose -4*i = i. What is the second derivative of i*j + j + j + j - 2*j**4 wrt j? -24*j**2 What is the second derivative of 3*f**4 + 7*f + 5*f**5 - 2*f**4 - f**4 wrt f? 100*f**3 Let z(j) be the second derivative of 0*j**3 + 0 - 2*j**2 + 4*j - 3/20*j**5 + 0*j**4. What is the derivative of z(x) wrt x? -9*x**2 Find the first derivative of -42*p - 39*p + 81*p - 3*p**2 + 22 wrt p. -6*p What is the third derivative of p**5 + 0*p**5 - 2*p**5 + 2*p**2 wrt p? -60*p**2 Let o(s) be the second derivative of 3*s**5/10 - 3*s**4/4 + 3*s. What is the third derivative of o(c) wrt c? 36 Let p(t) be the first derivative of -4*t**5/5 + 6*t - 7. Find the first derivative of p(d) wrt d. -16*d**3 Let w = 5 + -1. What is the derivative of 0 + 4 + 2*z**w - 2 wrt z? 8*z**3 Let a be (2/(-6))/(2/(-12)). Suppose -4*k + 13 = -7. What is the third derivative of -u**5 + 0*u**k - 1 + 1 + u**a wrt u? -60*u**2 Let r be (-1)/(6*-1) + 2/4. Let y(b) be the first derivative of 1 + 0*b**2 + 2*b - r*b**3. Find the first derivative of y(h) wrt h. -4*h Let a = 0 + 2. Let p be ((-2)/3)/(a/(-6)). What is the derivative of p + 5*s - 2*s**2 - 5*s wrt s? -4*s Suppose -19 = -5*k - 4. Let h be (-10)/((-6)/(0 + 3)). Differentiate -3*w - k*w - 1 + h*w with respect to w. -1 Let n = -10 + 6. Let c be (-10)/n - (-2)/(-4). Differentiate -2 + 0 + c*b**3 + 4 with respect to b. 6*b**2 What is the third derivative of 11*k**2 + 132*k**3 - 59*k**3 - 63*k**3 wrt k? 60 Let x(d) be the first derivative of -1/2*d**3 + 1/2*d**2 - 2 + 3*d. Let f(r) be the first derivative of x(r). What is the derivative of f(j) wrt j? -3 Let r = 6 - 3. Find the second derivative of -5*n + n + 0*n**3 + 3*n**r - n**3 wrt n. 12*n Let t(k) = -3*k**2 + 4*k. Let m(d) = d. Suppose j = -2*j - 6. Let c(a) = j*t(a) + 14*m(a). What is the second derivative of c(n) wrt n? 12 Find the third derivative of -61*a**2 - 11*a**6 + 82*a**2 - 21*a**6 wrt a. -3840*a**3 Let l(f) = -f**3 + 2*f**2 + 2*f + 4. Let c(o) = 4*o**3 - 9*o**2 - 9*o - 17. Let v(t) = 2*c(t) + 9*l(t). What is the derivative of v(j) wrt j? -3*j**2 Let m(w) be the first derivative of w**7/35 - w**5/6 - 9*w**2/2 + 9. Let q(i) be the second derivative of m(i). Find the third derivative of q(g) wrt g. 144*g Let w(i) = i**2 + 4*i + 6. Let u be w(-5). Let m = u - 8. What is the second derivative of -17*o**2 + 17*o**2 + 4*o - m*o**3 wrt o? -18*o Suppose -20 = -5*y - 4*s + 7, -4*s = -2*y - 6. What is the third derivative of -6*j**2 - 4 + 3 + 1 + 7*j**y wrt j? 42 Let n(v) be the first derivative of -9*v**5/5 - v**4/2 - 73*v - 54. Differentiate n(a) wrt a. -36*a**3 - 6*a**2 Suppose -o - 20 = o. Let x be 1*(-4)/(8/o). Find the second derivative of 4*t - 3*t - 3*t + 2*t**x wrt t. 40*t**3 Let y be (-1)/(-5) - (-98)/10. Let z = -7 + y. What is the second derivative of i + z*i**5 - 2*i**5 - 2*i wrt i? 20*i**3 Let d(u) be the second derivative of u + 1/12*u**4 + 0*u**2 - 1/2*u**3 + 0. Find the second derivative of d(b) wrt b. 2 Let p(b) = 1 - 1 + 6*b**3 + 5*b + 5 + 6*b**2. Let u(i) = -6*i**3 - 6*i**2 - 6*i - 6. Let g(q) = 6*p(q) + 5*u(q). Find the third derivative of g(n) wrt n. 36 Let c(m) = 7*m**3 - 21*m - 1. Let l(v) = -v**3 - 1. Let a(b) = -c(b) + l(b). What is the second derivative of a(d) wrt d? -48*d Let j(r) = r**3 + 10*r**2 + 8*r - 6. Let x be j(-9). Let b = 5 - x. Differentiate 2*u + 3 - 8*u**3 + 5*u**3 - b*u with respect to u. -9*u**2 Find the second derivative of -16*m**4 - 40*m - 26*m**4 + 41*m wrt m. -504*m**2 Let z(i) be the first derivative of 5*i**3/3 + 10*i - 4. Differentiate z(u) wrt u. 10*u Let s(a) = -5*a**3. Let d be s(-1). Find the third derivative of -5*j**5 + 4*j**5 - j**5 + 6*j**d - j**2 wrt j. 240*j**2 Suppose 0 = 3*n - n. Suppose 0 = 5*j - 2*h
{ "pile_set_name": "DM Mathematics" }
v**(-65/2) Simplify (b**6/b**(-1/9)*(b*b**(2/5))**5)/((b*b**(-1))/(b**(-3)/b))**(-5/6) assuming b is positive. b**(148/9) Simplify ((v*v*v*v**(-3/2))**(3/7))**(1/14)/(((v/v**(-1/12))/(v*v*v**(3/4)/v*v))/(v*v**(-1/3)*v)**(-2/3)) assuming v is positive. v**(1061/1764) Simplify (p*(p/p**(-2/7))/p*p*p**(-3/2)*p)**17/(((p/p**(2/13))/(p*p*p**(-3)))/(p**(-3/7)*p*p/p**(4/5))) assuming p is positive. p**(26647/910) Simplify ((m/((m/(m/(m/(m**(-1)*m))))/m))**(-8/11)*(m/m**5)/(m**1*m))/(((m*m/(m/(m*m**(-2))))/m**(-5))/(m/m**1)**(-11)) assuming m is positive. m**(-129/11) Simplify (z**(-1/12)/z**(-2)*(z**3)**36)**(-46) assuming z is positive. z**(-30337/6) Simplify ((g**(-2/3))**(-10))**(9/4)*(g*g/(g/(g*g*g**(1/2))))**(-42)/(g*(g*((g**(-2/5)/g)/g)/g)/g*g**(-1/6)) assuming g is positive. g**(-3883/30) Simplify (j*j**(-3/10))/(j/(j*j*j**19*j*j))*(j/(j*j*j**20*j))**(-13) assuming j is positive. j**(3087/10) Simplify ((f*f**(-2/13)*f)/f**(-1/4)*f**(-2/17)*f*f/((f*f**(1/6)*f)/f))/(f*f/f**(-9)*f*f/(f*f**1*f))**(-1/8) assuming f is positive. f**(2693/663) Simplify p/p**(-42)*p*p**(23/4)*p*p*((p*p**(6/29))/p)/(p*(p/p**21*p)/p) assuming p is positive. p**(8231/116) Simplify ((d*d**(23/2))/d)**(-35)*(d*d*d/(d/(d*d**17)))/(d*(d**(-19)/d*d)/d*d) assuming d is positive. d**(-729/2) Simplify ((q**(-3/19)*q*q**(-4/13))/((q*q/(q/(q*(((q/((q*((q/q**(-4/3))/q)/q)/q))/q)/q)/q)))/(q*q**(2/41))))**(2/27) assuming q is positive. q**(116452/820287) Simplify (u*u**18*u)/(u/(u/((u**(-1/3)/u*u)/u))*u)*u**28*u*u**(-6/25) assuming u is positive. u**(3682/75) Simplify s**(1/5)*s**(2/71)*(s*s**(3/19)/s*s)/(s*s**(7/3)) assuming s is positive. s**(-39403/20235) Simplify i*i*i**(2/5)*i*i*(i/(i*i*i**(1/4)*i)*i*i)/i*i**(-1)/(i**(1/9)*i)*(i*i/i**(-1))**32*i**(-2)/i**(-5) assuming i is positive. i**(18007/180) Simplify (i*i*i*i/(i**(1/9)/i)*i/i**(-1))**(-17)*(i**(4/3)*i*i*i*i*i**(2/9)/i*i*i*i)**(-2/91) assuming i is positive. i**(-96050/819) Simplify (c*c**(-1/4)*c)**(-38)*(c**(-1/3))**8*((c**(-2/7)/c)/(c/((c/c**(-4)*c)/c)))/((c*c**(-2/5)/c*c)/(c/(c*c**(-4)))) assuming c is positive. c**(-13241/210) Simplify ((a**(-16)*a*a/((a*a/(a*(a*a**(16/9))/a))/a))/(((a/(a/(a*a*a**39)))/a)/(a*(a**(6/29)*a)/a)))**(-39/2) assuming a is positive. a**(173095/174) Simplify ((y/(y/(y*y**(-14/5))))/(y/(y/(y/(y*y**(-2/19)/y*y)*y)))*y*(y/y**(-3/10))/y*y/(y/(y/(y**(2/13)*y)*y)))**(-12) assuming y is positive. y**(2250/247) Simplify (y*y**(-1/3)*y**(-13)*y)/(y**14*y*y**(2/155)/y) assuming y is positive. y**(-11786/465) Simplify (p/p**(-21/8)*p**(3/8))/(p**(-32)*p*p**(21/8)*p) assuming p is positive. p**(251/8) Simplify p**(-13)*p*p*p**(-3/7)*p*(p*p**35)**50 assuming p is positive. p**(12527/7) Simplify (d*d**(-3/13)*d)**(-11)*d**(-12)*d*(d*(d/(d**26/d*d))/d)/d assuming d is positive. d**(-734/13) Simplify (o/((o*o*o**(-1/5))/o)*(o*o/o**9)/o)/(o**8*o)**(-27/5) assuming o is positive. o**(204/5) Simplify (p/(p**(-6/13)*p)*p/p**(34/5)*p*p*p**(-2/3)*p*p**(-10))**43 assuming p is positive. p**(-109048/195) Simplify (s/(s*s*s*s**(2/17)*s*s)*s**(-4/5))**(-3/22)/((s**(-1))**(-39)/(s*s**3*s**(-6))) assuming s is positive. s**(-3428/85) Simplify (((p/(p*p*p**(-11))*p*p*p)/p*(p*p*(p*((p/(p/p**(-17))*p)/p)/p)/p*p)/p)/(p**(4/9)/p)**(-4/7))**(-14) assuming p is positive. p**(544/9) Simplify v/(v/(v*v*v**(1/4)))*v*v/((v**6*v)/v)*v*(v/(v**0/v)*v)**(-32)*v**7/(v**1/v)*v**(-2/7)*v/(v*v/v**(-3/4)*v) assuming v is positive. v**(-1299/14) Simplify (z**(-1/3)*z**1*z/z**(-5)*z**(-2)/z)/(z*(z/(z*z**2))/z*z*z**3)**(-23) assuming z is positive. z**(149/3) Simplify (i/(i**3*i))/(i**2/i)*i/(i/(i/i**(1/4))*i*i)*i**(-7)/i*i**6*(i/(i/i**4))/i*(i*i**(-2))/i**(4/3) assuming i is positive. i**(-79/12) Simplify ((g/g**2*g)**(-1/2)*g**(1/3)*g*g**(-3/4)/g)/((((g**(-5)/g)/g)/(g*(g**(1/7)/g)/g))/(g**(-1))**(-1/8)) assuming g is positive. g**(983/168) Simplify ((j*j**5*j*j**6*j)/((j/j**(1/3))/j**(-3)))/((j**(-1))**(-12))**(-33) assuming j is positive. j**(1219/3) Simplify (((y**(-7)/y*y)/(y/y**(-2/17))*(y**1)**(34/3))**(4/7))**40 assuming y is positive. y**(26240/357) Simplify ((x**(-5/2)*x**(10/17))**(4/19))**(-22) assuming x is positive. x**(2860/323) Simplify (p**(-1)/(p*p**4*p))**3*(p**(1/4))**(-50)*p**5/(p**(-1/8)/p) assuming p is positive. p**(-219/8) Simplify (((v/v**0)/v)**(4/7))**(3/2)/(v**6/(v*v**(2/11))*(v/(v*(v/((v**(-3)*v*v*v)/v))/v))/v**(1/7)) assuming v is positive. v**(-283/77) Simplify (l*l/l**(3/8)*l*l/l**(6/5))**36*(((l*l/(l*l**(-1/6)))/l)/(l**(1/6)*l))/(l**(-1/5))**(-17) assuming l is positive. l**(829/10) Simplify ((((z/(z/z**0))**25)**(-4))**22)**(-5/16) assuming z is positive. 1 Simplify ((c*c/(c*c*c/(c*((c**(2/7)/c)/c)/c)*c)*c*c*c*c**(-6)*c*c)/(c*c*c*c**(-2/73)*c*c)**(-28))**(2/7) assuming c is positive. c**(137478/3577) Simplify (k**(1/11)*k**(4/11))**(-9/2)/((k**2)**(-40)*(k/((k/(k/((k**(-2/29)*k)/k)))/k))/(k/(k/k**2))) assuming k is positive. k**(49691/638) Simplify (((m*m**(2/7))**(-1/28))**(1/59))**(2/19) assuming m is positive. m**(-9/109858) Simplify (u**(1/3)*u**(-3/4)*u)/((u**(-2)/u)/(u**2/u*u))*u*u*u**(1/8)/u*u/(u/(u/(u/(u**(-2)/u)*u)))*(u**(-1/4))**(1/11) assuming u is positive. u**(709/264) Simplify (((z*z/z**(-9/7)*z)/((z**29*z)/z))/(z**3)**24)**41 assuming z is positive. z**(-27757/7) Simplify (n**(2/9)*n)/n**(2/3)*(n**(-3/7)*n)/(n**8/n)*n**(-1/3)*n/(n*n/(n*n/(n**3*n)))*(n**(2/7)*n)/n**(-2/11) assuming n is positive. n**(-5363/693) Simplify ((y/(y*y**(2/9)/y))**(1/8))**(-23/2)/(y*y**(-2/23)*y*y/(y/(y/y**(2/3))))**(1/22) assuming y is positive. y**(-44453/36432) Simplify (((h*h/(h*h**(1/7))*h)/h**(-2/21))/(h/(h**3*h)*h)**(2/161))**8 assuming h is positive. h**(7640/483) Simplify (x/(x*x**(-3/2)*x)*x**3)**(-32)/((x**(-2/9))**(34/9))**(-16) assuming x is positive. x**(-10160/81) Simplify ((c**(1/3)/(c**0*c))/(c*c**1)**15)/((c**(-4)*c*c*c**(-1)/c)/((c**(1/3)*c)/c)**2) assuming c is positive. c**(-26) Simplify (((d/d**(2/5)*d)/d)**(-30/11)*d**1/((d*d/(d*d/(d*d*d**(-30))))/d))**(-1/72) assuming d is positive. d**(-13/33) Simplify ((q**(-8))**(10/9)/(q*q**(3/4)*q/(q*q*q**(-10))))**(-4/19) assuming q is positive. q**(707/171) Simplify (a**10*a**8/a)**40/((a**(-2)/a)**49*(a/a**2)/(a/(a*(a/(a**5/a))/a))) assuming a is positive. a**832 Simplify ((o**(-6)/o)/o**(-4/7))/(o**(2/79)/o**(10/9)) assuming o is positive. o**(-26591/4977) Simplify ((a**1)**(-13)*(a**(-1/2)*a)**(-2/11))/(((a*a*a*a/(a*a/a**(-1)))/a)/a**(-4/3)*(a*a**(-1/5)*a*a*a)/(a/((a/a**2)/a))) assuming a is positive. a**(-2512/165) Simplify ((z*(z*z/z**(10/9)*z)/z)**9/(z**(-14/9)/z*(z*z/(z/z**(1/9)))/z*z))**(-7/4) assuming z is positive. z**(-581/18) Simplify (i/(i/i**(-1/2)*i))/(i/(i**(-7)/i))*(i**(1/3))**(4/19)*i*i*i**(-3/4)*i**(1/6)*(i*i*i*i**(-7)*i)/i**(-5) assuming i is positive. i**(-533/76) Simplify (((j**(-3))**(-45)/(j/(j/j**(1/5))*j)**(2/25))**24)**(-1/60) assuming j is positive. j**(-33726/625) Simplify (((d**(2/3)/d)**(-1/20)/(d**(-1/4)*d*d/((d**(-10)*d)/d)))**(2/3))**(-6) assuming d is positive. d**(704/15) Simplify (z/(z/z**(3/5)))/z**1*(z*z*z**(-1)*z*z)**(4/17)*z**(-2/21)*z/(z*z**(-3)/z)*z*(z**(1/5)/z*z)/z**2 assuming z is positive. z**(6088/1785) Simplify ((g/((g/(g/g**0))/g))/g**(-6))**38*(g/((g/g**(-4))/g*g))/(g**(1/2)/g)*((g*g*(((g*g**(2/9)*g)/g)/g)/g*g*g)/g)/(g/((g/g**0)/g)*g) assuming g is positive. g**(5413/18) Simplify (n**(-2/3)*n**(-2)*(n/n**(1/2))**41)/((n/(n/(n/((n**0*n)/n))))**(-40)/(n/(n*n**(1/3)/n)*n)**(1/36)) assuming n is positive. n**(6251/108) Simplify ((b/(b**(-6/11)*b)*b*b*b**6/b*b)/(b*b*b**2/b*b*b/b**(-1)))/((b*b*b*b**0*b)**8*(b**(2/7))**(-1/11)) assuming b is positive. b**(-206/7) Simplify (((i*i*i*i*i**(-2/3))**(-33)/(i*i/i**(-4))**(-33))**43)**(-2/39) assuming i is positive. i**(-7568/39) Simplify ((t*t/(t**(-2/9)*t)*t**(-1/3))/(t/((t*t/(t/t**(-3/4)))/t)*(t**(-6)*t)/t))/(t*t*t**(-5)/t*t/(t/(t*t**(-1)*t*t*t)))**(2/11) assuming t is positive. t**(2107/396) Simplify (z*z**4*z*z/z**(1/9))**44/(((z/(z/z**1*z))/z*z)/z**3*z/(z*((z*(z*z**(-1/3)*z)/z*z)/z*z)/z)*z*z**0) assuming z is positive. z**(2761/9) Simplify (n/n**2*n*n**(2/11)*n*n*(n/(n/n**(-6)))/n**(2/3))/((n**(2/5)/n*n)**(-12/7)/(n/(n**0/n)*n*n**(-2/25)/n)) assuming n is positive. n**(-10852/5775) Simplify ((o**2*o)**46/(((o**(-2/7)/o)/o)/(o/o**(-8))))/(o**(-10)*o/(o/o**(-4
{ "pile_set_name": "DM Mathematics" }
ulate the remainder when 348154 is divided by 78. 40 Calculate the remainder when 15423 is divided by 3084. 3 What is the remainder when 227757 is divided by 25298? 75 Calculate the remainder when 64841 is divided by 16210. 1 What is the remainder when 9747 is divided by 2431? 23 Calculate the remainder when 10596 is divided by 154. 124 What is the remainder when 779 is divided by 61? 47 Calculate the remainder when 100844 is divided by 50. 44 Calculate the remainder when 10085 is divided by 123. 122 What is the remainder when 16373 is divided by 819? 812 Calculate the remainder when 46218 is divided by 358. 36 Calculate the remainder when 340261 is divided by 2789. 3 Calculate the remainder when 52272 is divided by 118. 116 What is the remainder when 5518 is divided by 1090? 68 What is the remainder when 10119 is divided by 620? 199 Calculate the remainder when 167 is divided by 2. 1 Calculate the remainder when 21368 is divided by 2374. 2 What is the remainder when 5887 is divided by 203? 0 Calculate the remainder when 276766 is divided by 4537. 9 Calculate the remainder when 1122354 is divided by 65. 64 Calculate the remainder when 270 is divided by 163. 107 Calculate the remainder when 119471 is divided by 304. 303 What is the remainder when 39186 is divided by 138? 132 What is the remainder when 3397 is divided by 190? 167 What is the remainder when 417 is divided by 179? 59 Calculate the remainder when 334 is divided by 35. 19 Calculate the remainder when 4014 is divided by 3. 0 Calculate the remainder when 187963 is divided by 5528. 11 What is the remainder when 2870 is divided by 947? 29 Calculate the remainder when 12418 is divided by 141. 10 Calculate the remainder when 582 is divided by 147. 141 What is the remainder when 114031 is divided by 375? 31 What is the remainder when 13052 is divided by 4224? 380 Calculate the remainder when 19858 is divided by 709. 6 Calculate the remainder when 1680 is divided by 4. 0 What is the remainder when 112334 is divided by 118? 116 Calculate the remainder when 274678 is divided by 21. 19 What is the remainder when 166895 is divided by 244? 243 Calculate the remainder when 31566 is divided by 14. 10 Calculate the remainder when 122010 is divided by 115. 110 What is the remainder when 6577 is divided by 1637? 29 What is the remainder when 8629 is divided by 907? 466 What is the remainder when 4281 is divided by 1068? 9 Calculate the remainder when 9870 is divided by 309. 291 Calculate the remainder when 235229 is divided by 10687. 115 Calculate the remainder when 2530 is divided by 47. 39 What is the remainder when 23998 is divided by 191? 123 Calculate the remainder when 54225 is divided by 92. 37 Calculate the remainder when 6623 is divided by 178. 37 Calculate the remainder when 292546 is divided by 31. 30 Calculate the remainder when 5218 is divided by 145. 143 Calculate the remainder when 90571 is divided by 1244. 1003 What is the remainder when 475359 is divided by 95069? 14 What is the remainder when 132045 is divided by 4? 1 Calculate the remainder when 3051 is divided by 470. 231 Calculate the remainder when 38522 is divided by 19261. 0 Calculate the remainder when 4091 is divided by 2003. 85 Calculate the remainder when 5338 is divided by 4559. 779 What is the remainder when 23098 is divided by 11? 9 Calculate the remainder when 47497 is divided by 76. 73 What is the remainder when 35577 is divided by 531? 0 Calculate the remainder when 3146 is divided by 777. 38 What is the remainder when 18012 is divided by 13? 7 Calculate the remainder when 24767 is divided by 55. 17 What is the remainder when 55082 is divided by 1698? 746 What is the remainder when 52591 is divided by 313? 7 What is the remainder when 59639 is divided by 37? 32 Calculate the remainder when 4499 is divided by 31. 4 What is the remainder when 585 is divided by 118? 113 What is the remainder when 2548 is divided by 62? 6 What is the remainder when 3904 is divided by 568? 496 What is the remainder when 347951 is divided by 48? 47 Calculate the remainder when 9123 is divided by 1013. 6 Calculate the remainder when 37824 is divided by 56. 24 Calculate the remainder when 3304 is divided by 126. 28 What is the remainder when 1282 is divided by 74? 24 What is the remainder when 65754 is divided by 19? 14 What is the remainder when 191778 is divided by 1728? 1698 Calculate the remainder when 8556 is divided by 1121. 709 What is the remainder when 10972 is divided by 9640? 1332 Calculate the remainder when 79618 is divided by 88. 66 What is the remainder when 153078 is divided by 19133? 14 Calculate the remainder when 2532 is divided by 193. 23 What is the remainder when 1621 is divided by 291? 166 What is the remainder when 1523 is divided by 128? 115 Calculate the remainder when 11574 is divided by 19. 3 What is the remainder when 588635 is divided by 566? 561 What is the remainder when 351203 is divided by 84? 83 Calculate the remainder when 7839 is divided by 199. 78 Calculate the remainder when 674 is divided by 101. 68 Calculate the remainder when 93248 is divided by 29. 13 Calculate the remainder when 314963 is divided by 342. 323 What is the remainder when 3093 is divided by 2314? 779 What is the remainder when 18706 is divided by 63? 58 What is the remainder when 3391 is divided by 25? 16 Calculate the remainder when 69336 is divided by 74. 72 What is the remainder when 211060 is divided by 52? 44 What is the remainder when 372172 is divided by 66? 64 What is the remainder when 15774 is divided by 7784? 206 Calculate the remainder when 3606 is divided by 20. 6 Calculate the remainder when 23659 is divided by 282. 253 What is the remainder when 115941 is divided by 23171? 86 What is the remainder when 399 is divided by 159? 81 What is the remainder when 67048 is divided by 931? 16 Calculate the remainder when 14219 is divided by 7069. 81 Calculate the remainder when 25474 is divided by 1339. 33 What is the remainder when 6095 is divided by 5394? 701 Calculate the remainder when 49969 is divided by 921. 235 Calculate the remainder when 15839 is divided by 1760. 1759 What is the remainder when 12369 is divided by 126? 21 Calculate the remainder when 892109 is divided by 454. 453 What is the remainder when 17434 is divided by 4349? 38 What is the remainder when 16772 is divided by 58? 10 Calculate the remainder when 18217 is divided by 6064. 25 Calculate the remainder when 21457 is divided by 10691. 75 Calculate the remainder when 19203 is divided by 446. 25 What is the remainder when 18047 is divided by 354? 347 What is the remainder when 7983 is divided by 133? 3 Calculate the remainder when 52735 is divided by 7525. 60 Calculate the remainder when 20964 is divided by 80. 4 Calculate the remainder when 666 is divided by 36. 18 Calculate the remainder when 4054 is divided by 4045. 9 Calculate the remainder when 23242 is divided by 125. 117 What is the remainder when 782 is divided by 366? 50 What is the remainder when 95199 is divided by 1796? 11 Calculate the remainder when 65149 is divided by 1163. 21 Calculate the remainder when 12470 is divided by 3900. 770 Calculate the remainder when 9968 is divided by 302. 2 What is the remainder when 10733 is divided by 2682? 5 What is the remainder when 117069 is divided by 48? 45 Calculate the remainder when 31409 is divided by 119. 112 What is the remainder when 2021 is divided by 419? 345 What is the remainder when 90454 is divided by 3479? 0 Calculate the remainder when 128644 is divided by 261. 232 Calculate the remainder when 131662 is divided by 93. 67 What is the remainder when 290721 is divided by 47? 26 What is the remainder when 4865 is divided by 1552? 209 Calculate the remainder when 112439 is divided by 40. 39 What is the remainder when 2536 is divided by 122? 96 What is the remainder when 14185 is divided by 58? 33 Calculate the remainder when 73625 is divided by 43. 9 Calculate the remainder when 2152 is divided by 851. 450 Calculate the remainder when 119583 is divided by 9197. 22 What is the remainder when 424889 is divided by 26? 23 Calculate the remainder when 826 is divided by 194. 50 Calculate the remainder when 4217 is divided by 653. 299 What is the r
{ "pile_set_name": "DM Mathematics" }
ing order. 2/3, z, s Let y be (-12)/42*14/(-2). Sort -5, y, -4, 13 in descending order. 13, y, -4, -5 Let v = -0.1 - -0.2. Let l = -12.7 + 13. Let p = l + 0.2. Sort v, -1/2, p. -1/2, v, p Let w = 37 + -36.83. Put 2/21, 0.3, w in descending order. 0.3, w, 2/21 Let c = -54 - -45. Put -2, -4, 1, c in descending order. 1, -2, -4, c Let h be 2/(-5) - (-32)/5. Suppose o = -3*f - h - 6, 3*o + 16 = -5*f. Let i = 0 + o. Put 5, -2/5, i in decreasing order. 5, i, -2/5 Let v(w) = w**3 - 8*w**2 + 6*w + 7. Let k be (-2)/(-7) - (-94)/14. Let t be v(k). Sort -2/17, t, -4. -4, -2/17, t Let c = -11 - -12. Sort -10, -0.2, c. -10, -0.2, c Suppose a + 13 = -3*r, -5*a - 4 = 3*r + 1. Let o be (-5)/(-2) - 8/(-16). Let q be o/a - 2/(-4). Sort 4, q, -3. -3, q, 4 Let p(x) = -x**3 + 2*x**2 - x + 1. Let y be p(1). Let g = -4.7 + 5. Let w be ((-8)/(-70))/(6/(-15)). Put g, w, y in ascending order. w, g, y Let b = 0.01 - 0.51. Let w = 0.01 + 4.99. Sort b, 0, w. b, 0, w Let u(t) = -2*t + 4. Let r(z) = z. Let w(c) = -r(c) + u(c). Let a(q) = -q + 1. Let k(l) = 5*a(l) - w(l). Let p be k(-1). Put -2/3, p, -4 in ascending order. -4, -2/3, p Let r be 4/10 - 22/55. Suppose 4*k + 1 + 7 = r. Sort k, 3, -1 in decreasing order. 3, -1, k Let m be (-12)/8 - 76/(-56). Suppose 2*x - 2*n = -n - 182, 0 = 3*x + 3*n + 264. Let d be 65/x - 4/(-18). Sort d, -2, m in increasing order. -2, d, m Let x be (-47948)/176 - 2/(-8). Let n = 272 + x. Sort -4, n, 0 in increasing order. -4, n, 0 Let m be (-28)/(-8)*4*1. Suppose -2*l = -2*n + m, -4*n - 2*l + 1 = -3*n. Suppose -4*r - n = r. Put 1, r, 4 in ascending order. r, 1, 4 Let h = -3/62 - -405/682. Sort h, 0, 0.4, -2/3 in decreasing order. h, 0.4, 0, -2/3 Let x = 5.57 - 1.57. Let q(p) = p**2 - 2. Let a be q(-2). Put a, x, -0.1 in decreasing order. x, a, -0.1 Let o(m) = m + 1. Let b be o(3). Suppose 0 = j - 3*j + 10. Let d be 4/(44/6 - 6). Put b, d, j in decreasing order. j, b, d Let a = 2 - 3. Let x = a + -3. Let k = -122 - -121.9. Sort k, x, 0 in ascending order. x, k, 0 Let u = 13 - 14. Put 1, -4, u in increasing order. -4, u, 1 Let l = -37 + 42. Sort -5, 1, l in decreasing order. l, 1, -5 Suppose 0 = -q - 4 - 0. Let x = 1 + 0. Let n = -39 - -41. Sort q, n, x in increasing order. q, x, n Suppose -9*v - 6 = -12*v. Sort 5, -2, v in decreasing order. 5, v, -2 Suppose 3*z = 16*z + 13. Sort 1, z, 5. z, 1, 5 Suppose -4*c = -3 - 1. Let w = -3/14 - 19/42. Let r = 33.3 + -33. Sort w, r, c in increasing order. w, r, c Suppose -3*r = 5*a + 3, 3*r + 4 = -a + 13. Sort -7, 1, a in ascending order. -7, a, 1 Let p be 10/(-12) + (-2)/(-4). Let h = p - -5/6. Let s = 104/115 + -7/23. Put s, 1/7, h in descending order. s, h, 1/7 Let u be 15/(-2)*(-20)/(-30). Let g = -0.1 + 0.3. Put -0.4, g, u in decreasing order. g, -0.4, u Let p(g) = -g + 15. Let k be p(15). Suppose 5*b + 3*y + 5 = -5, 2*y + 8 = -4*b. Put -1, k, b in increasing order. b, -1, k Let y = 0 - -0.2. Let s = -2/57 + -17/57. Let r = -3 - -3. Sort y, s, r in descending order. y, r, s Let z be (((-12)/(-7))/(-3))/(30/(-35)). Sort z, 2, 4, 3. z, 2, 3, 4 Let o be 2/(-9) - (-178)/828. Let v = 269/966 - o. Let b = 0.1 + 0.3. Sort v, -1, b in ascending order. -1, v, b Suppose 3*z = -z. Let a(w) = -w + 4. Let r be a(2). Suppose -12*m - 50 = -2*m. Put m, r, z in descending order. r, z, m Suppose -4*y = 3*b + 35, -2*b = -6*y + y + 8. Put b, 0, 3 in descending order. 3, 0, b Suppose 5*n = 1 + 14. Put -3, n, 1/7 in decreasing order. n, 1/7, -3 Let d = 115/3 - 39. Let t = 4 - 5. Put 5/2, t, d in decreasing order. 5/2, d, t Let t be (3 - 24/9)*-6. Put 3, -3, t in decreasing order. 3, t, -3 Let d = -27 - -107/4. Let q = -18.8 - -19. Sort q, 2/5, d. d, q, 2/5 Let b = -0.5 - -5.8. Let q = 0.3 - b. Sort 4, q, -0.2. q, -0.2, 4 Let p be (-4)/66*(-24)/16. Put 0, p, 1/10, 0.8 in decreasing order. 0.8, 1/10, p, 0 Let g = 7 - 7. Let a be (-1 - (-1)/(-1)) + -2. Put -3, g, a in descending order. g, -3, a Suppose 8 = -4*a - 5*r + r, 3*a = -5*r - 4. Sort a, -1, 0. a, -1, 0 Let x(v) = -3*v**3 - v. Let i be x(-1). Let n = -12 - -7. Put i, -3, n in descending order. i, -3, n Suppose -f + s - 10 = 4*s, -3*f - 20 = 4*s. Put f, 3, -3 in decreasing order. 3, -3, f Let n = 7 + -6.7. Suppose -5*s = -s - 2*i - 40, i = s - 12. Let r(w) = w - 6. Let q be r(s). Sort q, n, -2 in decreasing order. q, n, -2 Suppose 3*t = -3*q - 4 - 20, 0 = q + 3. Let n(o) = -o**2 - 6*o + 1. Let k be n(t). Let m be (-4)/k*60/8. Sort m, -4, 0 in descending order. 0, -4, m Let b(a) = a + 16. Let l be b(-15). Suppose l = t - 4. Sort t, 3, 2 in decreasing order. t, 3, 2 Let c be (-12)/(-9)*2/(-4). Let o = -2 - -2. Let s = 0.4 + o. Put s, c, -5 in descending order. s, c, -5 Suppose -a - 3*l = 2*l - 4, 4*a + l + 22 = 0. Suppose d - 2*v = 1, -v + 24 - 8 = 5*d. Put a, d, 4 in descending order. 4, d, a Let b = -20 + 35. Suppose f + 4*f + b = 0. Let n be f*((-8)/3 - -2). Put n, -1, 0.5 in descending order. n, 0.5, -1 Let r be 2 + (-2 + 3)*3. Put r, -2, -4 in increasing order. -4, -2, r Let a = 43 - 47.8. Let i = a + 5. Let t = i - 0.2. Put 0.3, t, 1 in descending order. 1, 0.3, t Let u(z) = z**3 - 9*z**2 + 6*z + 11. Let b = 1 + 7. Let v be u(b). Let a(t) = t**3 - 15*t**2 - 15*t - 16. Let l be a(16). Sort l, v, 4 in descending order. 4, l, v Let c = -30 + 18. Let t be (c/40)/((-12)/(-10)). Put 2/11, t, -0.1 in descending order. 2/11, -0.1, t Let a = -1.9 - -1.8. Sort -5, a, -4 in descending order. a, -4, -5 Let g = 3 + 2. Let r = 8 + -7.7. Let y = -18 + 13. Put y, g, r in increasing order. y, r, g Let k = 15 - 33/2. Put -0.2, k, 0.02 in decreasing order. 0.02, -0.2, k Let k = -13 + 14. Sort 6, 0.1, k. 0.1, k, 6 Let k = 8.7 - 9. Let v be ((-4)/(-24))/(0 + -1). Sort k, 4, v. k, v, 4 Let x = -0.01 + 0.01. Put -1, x, -2 in descending order. x, -1, -2 Let w = -1 + 7. Sort 2/9, w, -0.3 in ascending order. -0.3, 2/9, w Let a(u) = u**2 - 2*u - 43. Let k be a(8). Put -3, 4, k in decreasing order. k, 4, -3 Let a(y) = -y**2. Let c be a(2). Let q = 1921/13 - 148. Put c, q, 0.1 in descending order. 0.1, q, c Let t = -0.34 + -0.06. Let z = 1.7 + -8.7. Let q = -11 - z. Sort t, q, 0 in descending order. 0, t, q Suppose 0 = 2*o - 3*w + 8, 2*o + 17 = -2*w - 11. Sort 1/4, -1/3, o in ascending order. o, -1/3, 1/4 Suppose -2*s + r + 4 = 5*r, -3*r = -4*s + 52. Let z be 2 + 2/((-16)/s). Put z, -0.1, 0.5 in decreasing order. z, 0.5, -0.1 Let t = -3.5 + 0.5. Let l = t - -3. Let j = l + 1. Sort 3, -0.1, j in decreasing order. 3, j, -0.1 Let y(f) = f**2 + 7*f - 10. Suppose -3*b - b - 32 = 0. Let q be y(b). Suppose 2*u = -6 - 2. Put q, 1, u in decreasing order. 1, q, u Let o be (-1)/3*(-1 - -2). Let b be ((-1)/3)/(4/12). Put 0.3, b, o in increasing order. b, o, 0.3 Let t = 0.7 + -0.2. Let u = -10.1 - -10. Let f = -0.04 - -2.04. Sort u, t, f. u, t, f Suppose 3*y = -3*d - 18, 5*d - 2*d = -4*y - 21. Put y, -6, -1, 0 in descending order. 0, -1, y, -6 Suppose -8*w + 3*w - 4*r = 69, -2*w - 2*r = 28. Sort -4, w, -1 in increasing order. w, -4, -1 Suppose -19 = 5*y - 2*d, -2*d + 0 + 1 = y. Suppose 3 + 4 = 7*n. Put y, -4, n in ascending order. -4, y, n Let r(f) be the third derivative of f**6/120 - f**5/20 + f**4/8 - 2*f**3/3 - f**2. Let o be r(2). Sort 5, 1, o in increasing order. o, 1, 5 Let k be (-1 - 5)*(-1)/4. Let w = 4 - 3.9. Let m = -0.5 + w. Sort m, 0, k in decreasing order. k, 0, m Let b be (9/(-3 + 0))/8. Sort b, -0.3, 0.4. b, -0.3, 0.4 Let l = -2.3 + 1.3. Put 0.4, 2/9, l in ascending order. l, 2/9, 0.4 Let i be (479/9)/(-1 + 0). Let t = i - -53. Sort -2/17, -2, t in increasing order. -2, t, -2/17 Suppose -4*b - 9 = m, -b - 11 = 5*m + 2*b. Sort m, 3, -17 in decreasing order. 3, m, -17 Let k(q) = q**2 - 18*q + 21. Let p be k(17). Let i = -2 - -2. Put p, i, -4 in ascending order. -4, i, p Let d = 1.99 + 0.01. Let x = 1 - d. Put -3, x, -0.4 in descending order. -0.4, x, -3 Let n(c) = c**2 + 3*c - 2. Let w be n(-4). Let m be (-3)/(-6) + w/4. Let t(l) = l**2 + 12*l - 11. Let u be t(-13). Sort 0, u, m in increasing order. 0, m, u Let j be (-100)/(-105) - (-2)/(-7). Let z = -0.1 + 0.1. Suppose 0 = -4*c + 5 - 13. Put c, j, z in decreasing order. j, z, c Let l(x) = 0 + 6*x + 2 + 4*x - 13*x + 2*x**2. Let h be l(2). Put 2, h, -3 in decreasing order. h, 2, -3 Let s = 24 + -21. Sort s, 2, 0.1 in decreasing order. s,
{ "pile_set_name": "DM Mathematics" }
+ j - 15 = 5*j. Let p(k) = -2*k - 22. Let x be p(t). Is 1*6887 - (12 + x) a prime number? True Let j(m) = 42*m**2 + 21*m + 0*m**3 - 17*m**2 - 3*m**3 + 1 + 2*m**3. Is j(24) a composite number? True Let h = -100 + 57. Let x = -40 - h. Suppose -5*w = m - 70, 5*w + 185 = -m + x*m. Is m a prime number? False Suppose 17*l - 326025 = 3962. Suppose -43*s + 45*s = -p + l, p + 4*s = 19405. Is p composite? False Suppose 6316 = -4*t + 368. Let s be (-4)/12*t - 2/3. Let w = s - 58. Is w a composite number? True Let w = 1314434 + -864513. Is w prime? True Let v = -342 + 327. Is ((-46120)/v - 3) + (-2)/3 composite? True Let z = 990 - 456. Let y = z + 373. Is y a composite number? False Suppose -4*f + 45 = -19. Let s be 27126/21 + f/56. Suppose 4*r = -0*r + s. Is r prime? False Let s = 250 - 244. Let h(v) = 419*v + 7. Is h(s) a composite number? False Suppose 5*h - 23*y + 24*y + 1698 = 0, -1694 = 5*h + 3*y. Let x = h - -1317. Is x a prime number? True Suppose -13*j + 8*j = -30. Is 1/j + 145935/162 a composite number? True Suppose 2247*i = 2214*i + 14457531. Is i a prime number? False Suppose -228*w - 6743111 = 79*w - 50446710. Is w composite? False Let z(j) = 44*j - 3. Let g be z(3). Suppose 5*a + 2*s - 118 = 0, -449 = -4*a - 4*s - 345. Suppose 25*m - g = a*m. Is m prime? True Let x = -14 + 14. Suppose x = 4*u + 7 - 23. Suppose -159 = i - u*i. Is i prime? True Suppose 0 = 4*q - 4*d, 6*q + 5*d - 20 = q. Suppose -3*f = q*c - 0*f + 15, 30 = -5*c - 5*f. Is (c/(-24))/((-5)/10)*-2164 a composite number? False Let d be 6*-1 - (79 + -104). Let a(z) = 606*z - 80. Is a(d) composite? True Let i(v) be the third derivative of v**4/12 + v**3/6 + 6*v**2. Let d be i(2). Suppose 0*n - 2445 = -d*n. Is n prime? False Let j be (0 - 16)/(5 - 3) - -4. Let s = j - -331. Is s a composite number? True Let j = -1175 - -1863. Suppose 5*u - 5616 + j = -3*s, 3*u - s - 2954 = 0. Is u composite? True Let r = -2090 + 3377. Let b = 2280 - r. Is b composite? True Suppose 0*j + 4*a = 4*j - 24, -3*a - 24 = -5*j. Suppose -4*b + 11068 = j*r - 4*r, 11068 = 4*b + 5*r. Is b prime? True Let l be 15/(-6)*(-1 - (-1 - -316)). Let j = l + 2359. Is j a composite number? True Suppose -3*h = 3*n - 0*n - 21, 5*h = n + 35. Let t(c) = 2*c**2 + 58*c - 536. Let l be t(33). Suppose l = h*g - 3*g. Is g prime? False Suppose 9*m + 689274 = 27*m. Is m prime? False Let m = 110 - 109. Let x = 8 - m. Suppose 0 = 4*n - 8, 5*b - 2*n = x*b - 4914. Is b a composite number? True Let l = 183 - 51. Suppose 2*h = -h + l. Is ((-418)/4)/((-22)/h) composite? True Let b(p) = -4 + 82*p**3 - 83*p**3 + 2*p + 3 + 5*p**2. Let a be b(5). Is 4524/9 + (39/a - 4) composite? False Let n(m) = 3313*m - 1143. Is n(88) a prime number? False Suppose -2 - 2 = 4*y, 5*i + 2920 = -5*y. Let r = i - -3520. Suppose -3*x + 3*j + 3453 = 0, 4*j + r = 3*x - 516. Is x prime? True Is ((-2)/((-4)/(-9)))/(13*39/(-5847062)) prime? False Let h(b) = -15793*b + 1487. Is h(-90) prime? True Let s(m) = 5*m**3 - 2*m**2 + 7. Let x(w) = -w**3 - 1. Let y(k) = s(k) + 4*x(k). Let h be y(2). Suppose 5*p + h*t = 1945, p + 5*t - 1167 = -2*p. Is p prime? True Let k(n) = -n**3 - 9*n**2 - 6*n + 62. Let x be k(-6). Let l(j) = 68*j - 1. Let c(u) = -136*u + 1. Let p(o) = 4*c(o) + 7*l(o). Is p(x) a prime number? True Suppose -77*d - 4*u = -82*d + 602519, -3*u = -4*d + 482014. Is d composite? True Let n = -5347 - -3075. Let f = 1087 - n. Is f a composite number? False Suppose -32*a = -33*a + 31. Let d(l) = 14*l**2 - 29*l + 43. Is d(a) a composite number? True Suppose -205*n + 199*n = -22098. Is n prime? False Suppose -31*p + 8 = -27*p. Suppose 2*g - 5*t = -1, -t - 3 = -4*g + 4. Suppose 4*w = -h + 2253, -h - g*w = p*h - 6769. Is h a composite number? True Suppose -8*u + 65 = -5*r - 3*u, -43 = 3*r + u. Let y(v) = -442*v - 87. Is y(r) prime? True Let l(a) = 18*a - 143 - 126 - 133 + 428 - a**2. Is l(13) prime? False Suppose u + 3 - 5 = 0. Suppose 5*i + u*f + 5 - 16 = 0, -5*f - 7 = i. Suppose 1836 = i*b - 3*w, -2*w = -w - 1. Is b prime? True Let s = 183867 - 17144. Is s prime? True Let n = 61 + -44. Let h = n + -13. Suppose -4*p = h - 272. Is p a prime number? True Let s = 356004 - -53179. Is s composite? True Let s(q) = 7*q - 205. Let r be s(30). Suppose -3*z = 2*h - 9553 + 1599, r*h - 19927 = 3*z. Is h a prime number? False Let m(j) = 14*j + 9*j - 7*j + 283*j**2 + 86. Is m(-7) a prime number? True Suppose 2*g - 4*j = 344346 - 18652, 4*g = -4*j + 651424. Is g prime? True Suppose -244*k + 27445603 = 225*k - 422*k. Is k a composite number? True Let h = -38331 + 20079. Let j = h + 27071. Is j a composite number? False Let c = -887 + 3817. Suppose 2*j + 0*j = c. Is j a composite number? True Let a = 232 + -229. Suppose 2*f + a*l = 5299, 2*l + 1573 + 1094 = f. Is f a composite number? False Is -97718*1/((-46)/115) composite? True Let n(y) = -y**3 + 5*y**2 + 8*y + 10. Let x be n(7). Let p be (-44)/(-6) + x/(-48). Suppose 6*g + 874 = p*g. Is g composite? True Let c(j) = 15*j + 77. Let s be c(-6). Is (-1)/4 - ((-879970)/(-8))/s prime? True Let v(l) = 3*l - 33. Let p(t) = 3*t - 32. Let k(i) = 2*p(i) - 3*v(i). Let c be k(11). Is -33*(-335)/30*c prime? False Is (-84831)/5*(-675)/405 a prime number? True Let x = 221 + -229. Is ((-6)/(-4))/(x*(-1)/87536) composite? True Let i = 263 - 227. Is (-9 - 37485/i)/(2/(-8)) a composite number? False Let h(t) = -t**2 - 17*t + 22. Suppose -2*s + 4*s + 36 = 0. Let b be h(s). Suppose -4*i + w + 9140 = -0*i, 0 = b*w. Is i prime? False Let b(h) = -110*h + 27. Let d(f) = -18*f - 35 - f**3 + 18 + 8*f**2 + 18. Let c be d(4). Is b(c) composite? False Let r be 1/((-3)/((-178692)/4)). Suppose 5*k = 3*u - r, -3*k + 19874 = 4*u - 0*k. Is u prime? True Let s be (-45)/(-10)*2/3. Let w = 697 + -434. Suppose 0*k + 5*y + 396 = s*k, -2*k + 3*y = -w. Is k a composite number? False Suppose 1167*m - 877201 = 1154*m. Is m composite? False Is 60/18*(-3524127)/(-26) + 174/(-1131) a composite number? True Is 72753 + 7*110/77 a prime number? True Let s(j) = -100171*j**2 - 25*j + 14. Let o(b) = 33391*b**2 + 9*b - 5. Let q(g) = -17*o(g) - 6*s(g). Is q(1) a prime number? True Let x(b) = 11*b**3 + 6*b**2 - 3*b + 5. Let g be x(5). Suppose -3*u + 1641 = -g. Suppose 0 = -0*w - 4*w + u. Is w a prime number? True Suppose -22 = -2*d + 4*d + 5*o, 4*d + 4*o = -32. Let s be d + (-15)/5 - -2. Let q(v) = 2*v**2 - 6*v + 5. Is q(s) composite? True Let j = -1881 - -6887. Suppose 10*i - j = 8*i. Is i composite? False Let b(m) = -27*m**3 - 4*m**2 - 4*m - 2. Let v be b(-2). Suppose 4*w = -h - v, 4*h + 0*h + 769 = -5*w. Is 20/16*4 - h a prime number? True Suppose 42 - 51 = -3*k. Suppose -2*r = -3*u, -5*r = 4*u - k*r. Suppose 0 = -2*c - 3*z + 1484, u = -4*c - 4*z + 3*z + 2958. Is c composite? False Let q(f) = 17*f**3 - 4*f**2 + 30*f + 6. Let b be q(7). Suppose 1714 + b = 5*g. Is g prime? False Let l be (10 - 4)*5/6. Suppose -3*f = 5*m - 1690, -l*f + 2396 = -m - 430. Is f prime? False Is 298656956/902 - 6/22 composite? True Let d be ((-30)/9 - 11/(-33)) + 5. Suppose -3*q - 55623 = d*j - 5*j, q - 18537 = -j. Is j prime? True Is -2 + (189078 - -12) - 1 prime? False Suppose -12*q + 9*q + 12 = 0. Suppose -2*d + 3*o = -25616, 0*o = 5*d - q*o - 64047. Is d a composite number? True Let u be ((-378)/(-4))/(2/872). Suppose 0 = -13*i + 6*i + u. Suppose -3*o + 8813 = k, -2*o + i = 4*k - 6*k. Is o a composite number? False Suppose 4*z = 3*u + 13, 0*u + u = -2*z - 1. Suppose -3*n + 6 = -3*l, 2*n = -2*l + 5 - z. Suppose -n*j - 403 = -5*t, t - j = -2*t + 241. Is t prime? True Suppose -1334*f - 1286739 = -3*l - 1338*f, 0 = -3*l - 3*f + 1286733. Is l a prime number? False Suppose 3*i - 276 = 3*x - 0*x, -4*x = i + 383. Let j = -93 - x. Is (3*(-739)/(-6))/(1/j) a composite number? False Suppose -1 = 3*t + t + 5*k, -3*t + 5*k = -8. Is 15448/24*(t - -2) a prime number? True Let r(o) = -8667*o - 3. Let u be r(1). Let p = 31091 + u. Is p a prime number? False Let c be ((-4)/14)/(1/(-14)). Suppose 11*n - c*n = 30807. Suppose -n = -5*t + 3134. Is t prime? False Let o(v) = 6*v + 151. Let q be o(-25). Let d(u) = 2428*u**2 + 4*u - 3. Is d(q) prime? False Let g = -73887 - -130942. Is g a prime number? False Let k(n) = 2*n**2 + 2*n - 2. Let m be k(2). Suppose 5*g - 49474 = 2*b, -g = -77*b + 76*b - 9896. Suppose -m*t + g = -4*t. Is t c
{ "pile_set_name": "DM Mathematics" }
v**2 + w and give t. -12 Rearrange 0*r - 53 - r**2 + 53 + r + r**3 to u*r**2 + a + y*r**3 + p*r and give u. -1 Express (38 - 112 - 29)*(0*w + w + 0*w) - 1 + 2*w + w - 4*w in the form p + d*w and give d. -104 Express -4*u**2 + 33 + 5*u - 33 as v*u + p*u**2 + t and give p. -4 Express -5*g**2 + 2*g**3 + 17*g**2 - 6*g**2 + 2*g**3 in the form q*g**2 + p + r*g + u*g**3 and give q. 6 Express s**4 + 1 - s**4 + s**4 - 4*s in the form r + w*s**4 + l*s**2 + b*s**3 + g*s and give g. -4 Rearrange 4*y**2 - 3*y**2 + 2 - 5 - 6*y**2 to the form g + i*y + p*y**2 and give p. -5 Rearrange 2*k**2 + 3*k**4 + 5*k**4 - 7*k**4 - 2 + 2*k**3 - 4*k to s*k + t*k**4 + q*k**2 + b*k**3 + g and give b. 2 Rearrange 7 + 2*b + 0*b - 11 - 11 - 2*b**3 to the form k*b + o*b**3 + v + z*b**2 and give o. -2 Express -28 - 12 + 145 - x in the form o*x + q and give q. 105 Rearrange 2*m**4 - 22*m + 19*m + 17*m**2 - 17*m**2 + 7 to p*m**4 + j*m + i*m**2 + r*m**3 + n and give j. -3 Express (0*c - 2*c + 4*c)*(-990*c + 840*c - 4 + 4) as x*c + o*c**2 + g and give o. -300 Rearrange 2*t**3 + 5 - 5 + (-t + 0 + 0)*(-4*t**2 - t**2 + 3*t**2) + (t + 2 - 2)*(t**2 - 2 + 2) to p*t**2 + a*t**3 + k + d*t and give a. 5 Express -6 + 2*s**3 - 8 - 2*s + 14 + s**4 + 6*s**2 in the form j*s**2 + v + d*s**4 + r*s**3 + k*s and give r. 2 Express -4 + 2*t + 6*t**4 + t**3 + 2 - 7*t**4 in the form z*t**4 + k*t**2 + d*t**3 + p*t + q and give q. -2 Express 22 + 2*u**2 - 4*u - 23 - u**3 + 7*u in the form v + s*u + x*u**2 + a*u**3 and give a. -1 Express -6 + 3*z + z**2 + 5*z - 7*z - 3*z as f + u*z**2 + w*z and give f. -6 Rearrange 6 + 2*o**3 - 11 + 4*o**2 + 3 + (-2*o - 2*o + 0*o)*(o**2 - 4*o**2 + 5*o**2) to the form y*o**2 + u + j*o + r*o**3 and give r. -6 Rearrange 16*s - 1 + 6*s - 8 + 7 to w*s + i and give i. -2 Rearrange -6*o**3 - o**2 + 89 - 89 to the form m*o**3 + i*o**2 + n*o + t and give n. 0 Rearrange (-2*k - 1 - 5*k - 8*k)*(4 - 3 + 3) to z + g*k and give z. -4 Rearrange (-d**2 - 6*d**2 + 0*d**2)*(0*d + 0*d + 2*d) to the form y + f*d**2 + p*d + r*d**3 and give r. -14 Express -5 - 9 + 36 + 34 - 2*l as t*l + s and give t. -2 Rearrange -402*k**2 + 13*k + 402*k**2 - 2*k**3 to the form t + n*k**2 + s*k**3 + p*k and give p. 13 Express 2*r**3 + 2*r**4 - 2*r**4 + 2*r + 2*r**2 + 0*r**3 - 2*r**4 + 10 as o*r**4 + z*r**2 + d + l*r + a*r**3 and give z. 2 Express 35*g - 76*g + 33*g as f*g + o and give f. -8 Express (0*q - 3*q + 6*q)*(1 - 1 + 2) + 3*q + 4*q - 2*q in the form d + v*q and give v. 11 Express -11*a**3 - a + 9*a**3 - 9*a**3 - 1 as w*a**3 + r + q*a + p*a**2 and give q. -1 Express (-o + 0 + 0)*(4 - 4 - 2*o) + 100*o**2 - 150*o**2 + 102*o**2 as i*o**2 + j*o + r and give i. 54 Rearrange 29 - 29 + 6*z + (z - 2*z + 0*z)*(-3 - 1 + 3) - 4*z - 4*z + 3*z to x*z + k and give x. 2 Rearrange (0*g + 2*g - g)*(g + 2*g + 0*g - 3*g - g + 7*g + (-1 + 1 - 2)*(2*g + 4 - 4) + g - 2*g + 3*g) to the form o + i*g + q*g**2 and give q. 4 Rearrange (-19 + 19 + 8*n)*(-5 + 24*n**2 - 26*n**2 - 9) to y*n**2 + s + v*n**3 + z*n and give v. -16 Express (2*i**2 + 2*i**3 - 2*i**2)*(-1 + 2 - 3*i - i)*(-1 + 0 + 10) as b*i + r*i**3 + d*i**2 + q + s*i**4 and give s. -72 Rearrange -16*k - 1 + 12*k + 1 to p*k + n and give p. -4 Rearrange -7*y + 3*y**2 + 4*y - 2*y**2 + 51 + 2*y to q + r*y**2 + z*y and give r. 1 Express w**3 + 3*w**3 - 2*w**3 + 2*w**2 + w**3 as r*w**2 + j + l*w**3 + o*w and give r. 2 Express (0*w + 5*w - 3*w)*(14 - 4 - 7 + w**2) - 15*w**3 + 4*w**3 + 2*w**3 in the form o*w**3 + v*w + b + u*w**2 and give v. 6 Rearrange (4 - 4 - 2*d)*(0 + 0 + d) - 2*d**2 + d**2 - 2*d**2 to the form o*d**2 + u*d + q and give o. -5 Express -3*h + 8*h + 1 - 5*h**4 + 3*h**4 + 7*h**2 in the form x + p*h**4 + y*h**2 + k*h**3 + r*h and give r. 5 Express (0 + 1 - 2)*(2 + 172*g**2 - 2 - 79*g**2) as q*g**2 + i*g + k and give k. 0 Rearrange -3*u**2 + 4*u**2 - 2 + 20*u - 18*u to v + p*u + f*u**2 and give f. 1 Rearrange -5*c + c**2 - 7*c + 2*c**4 + 0 + 0 to o*c**2 + z + u*c**3 + g*c + t*c**4 and give g. -12 Rearrange 0*l + 0*l - 47 + 48 + 3*l**2 to the form f + y*l + o*l**2 and give o. 3 Rearrange (-5 - 1 + 4)*(2*f + 10*f - 10*f - 50) to the form q*f + z and give q. -4 Express 2*v - v**2 + 6*v**4 - v**3 - 2 + 7*v**4 - 12*v**4 in the form c*v**4 + b*v**3 + o*v + t + f*v**2 and give b. -1 Rearrange (5*i**2 - 5*i**2 + 5*i**3)*(-1 + 5 - 5) to r*i**2 + h*i**3 + s*i + c and give h. -5 Express (-1 + 1 - 2*h)*(3 - 4 + 3) - 2*h + 6*h - h in the form u + n*h and give u. 0 Rearrange 23*k - 3 + 1 + 2 + k**2 to x*k**2 + q*k + p and give q. 23 Express -2*j**2 + 7*j**2 + 3*j**2 + 1 in the form t + d*j + q*j**2 and give t. 1 Express (-5 + 1 + 2)*(-18*s**2 + 30*s**2 - 16*s**2) + (-s - 5*s + 3*s)*(-2*s + 3*s - 3*s) in the form d*s + x + h*s**2 and give h. 14 Rearrange -6*w**2 + 16*w**2 - w + w to t*w**2 + l*w + n and give t. 10 Rearrange ((-3 - 3 + 3)*(-2*a + 3*a + a) + 2*a + a - 5*a)*(-a**3 + 3*a**3 - 3*a**2 + 0*a**2) to b + f*a**4 + w*a**3 + o*a**2 + n*a and give w. 24 Rearrange 4*d + d + 0*d + 6*d to s*d + i and give s. 11 Express (5 - 2 + 1 + (-3 + 6 - 2)*(4 - 3 - 2))*(-2*u + 6*u + 2 + 0) in the form i + c*u and give c. 12 Express 4*q**2 + 2 + 2*q**2 - 9*q**2 - 10*q**2 in the form t*q + v + b*q**2 and give v. 2 Express 29*y + 5 - 5*y**3 - 3 + 3*y**3 - 5*y**4 - 28*y as b*y + u*y**2 + j*y**3 + n*y**4 + m and give n. -5 Rearrange (-10*n - 11*n + 4*n)*(-3*n**2 + n**2 - 2*n**2) to the form x*n**3 + h*n + a*n**2 + w and give x. 68 Rearrange -2*y + 3*y - y + 5*y**2 + 2*y**3 + 2*y to s*y + o*y**2 + p*y**3 + d and give o. 5 Express (-6*r**2 + 4 - 2 + 7*r**2)*(-r**2 + 0*r**2 + 2*r**2) as q*r**2 + c*r**3 + u*r + o + v*r**4 and give q. 2 Rearrange -29*v**2 - 16*v**2 - 3*v**2 to the form k*v**2 + i + d*v and give k. -48 Express 0*s**2 - 3*s**2 + s**2 + s**2 - 3*s**2 + s**2 + (-1 + 1 + 4*s)*(4*s + 0*s - 5*s) in the form f*s**2 + w*s + v and give f. -7 Express (a + 0*a - 3*a)*(-a**2 + a**2 - a**2) - 6*a**3 + 17 - 17 in the form b*a**2 + o*a**3 + x*a + q and give o. -4 Express (-2 - n + 2 + (-1 + 2 - 4)*(-4*n - 5 + 5) - n + 0*n + 3*n)*(-2 + 0 + 5) as k + v*n and give v. 39 Express -f + 2*f + f - 2*f - f + 4*f + (1 - 1 + 2*f)*(0 + 0 - 1) in the form j*f + n and give j. 1 Rearrange n**2 + 0 + 8*n**2 + 0 to the form s + o*n + j*n**2 and give j. 9 Express (-k + 3 - 3)*(-6 + 1 + 3) - k + 0 + 0 - 5*k + 4*k + 2*k + 4 - 4 + 3*k as q*k + v and give q. 5 Express -86 + 76 + 6*v**4 - 4*v**4 - v**4 - v**4 + v**4 + (v**3 + 0*v**3 + v**3)*(-2 + 2 + 2*v) as o + u*v**2 + s*v + c*v**4 + m*v**3 and give c. 5 Express (-3*l**2 + 36*l**2 - 3*l**2)*(3 - 2 - 3) as p*l + r + k*l**2 and give k. -60 Express (2*y + 0*y + y)*(-y - 3 + y - 2*y)*(11*y + y - 18*y) as z*y**3 + a + w*y**2 + o*y and give z. 36 Express 6*v**2 - 9*v**2 - 19*v**2 in the form d + l*v**2 + t*v and give l. -22 Express 2*x - 2*x - x**4 + (-4 + 3 + 0)*(-5*x**4 + 9*x**3 - 9*x**3 + (1 + 2*x**3 - 1)*(-x - 2*x + 4*x)) as j*x**2 + g*x**4 + o*x**3 + w + v*x and give g. 2 Express -4*f**3 - 14*f**4 + 2*f + 11*f**4 + 5*f**3 in the form d*f**4 + n + g*f + s*f**3 + t*f**2 and give s. 1 Express 8*x - x - 7*x + 16*x**3 + 2 in the form m*x + n*x**2 + v*x**3 + z and give v. 16 Express (s + 0*s + s)*(6 - 2 - 2) - 4*s + 0*s + 3*s - 5*s + 4*s + 2*s as m*s + k and give m. 4 Express -61 + 7*q**2 - 2*q**2 + 65 in the form m*q + g*q**2 + y and give g. 5 Express -2*n**3 - 12*n**2 - 174 - 4*n + 174 as a*n**3 + v*n**2 + b + y*n and give a. -2 Express 2*h + 18 + 10 - 3*h in the form d + c*h and give c. -1 Rearrange 6 + 13 - 2*h**2 + 4*h**2 to the form m*h + z*h**2 + y and give z. 2 Express (-74*j**4 - 23*j**4 - 7*j**4)*(3 - 2 - 3)*(2 - 2 - 1) in the form n*j**3 + c + d*j**2 + y*j**4 + o*j and give y. -208 Rearrange (6*l - 4*l + l)*((1 + 3 - 3)*(-3 - 10 + 4) - 1 + 0 - 1) + l + 0*l - 4*l to the form c*l + i and give i. 0 Express 12*x - x**2 - 12*x - 6 - 7 as f + b*x + t*x**2 and give t. -1 Express (0*q + 0*q - q**2)*(q**2 + 2*q**2 + 0*q**2) + (-2*q + 2*q - 3*q)*(4 - 4 + 2*q**3) as m*q + c*q**3 + x + t*q**4 + r*q**2 and give t. -9 Rearrange 2*u**3 + 0*u**3 - u - 3*u**3 to the form v*u**3 + n + b*u + l*u**2 and give b. -1 Rearrange ((-1 + 1 - 2*x**2)*(0 - 4 + 0) - 5*x + 2*x**2 + 5*x)*(0 + 4 - 5) to the form c + v*x + s*x**2 and give s. -10 Rearrange 10 - 17 - 9 - 2*b**2 - 11 to w*b**2 + g*b
{ "pile_set_name": "DM Mathematics" }
is the value of 2 - ((-3 - -5) + 2)? -2 7 - (-5 + (3 - -10)) -1 -1 + (-1 - -8) - 4 2 (-36 - -35) + (2 - 0) - -2 3 Evaluate (2 - (0 - 2)) + 39 + -39. 4 What is (-12 - -15) + -15 + 5? -7 Calculate (0 - ((-3 - 1) + 3)) + 4. 5 (-1 - 0) + 0 + -2 + -2 -5 What is the value of 6 + 5 + 0 + 6 + -20? -3 Calculate (0 - 0) + 1 + -1. 0 Evaluate -77 + 81 - (1 + (-1 - -1)). 3 What is (0 + (-1 - -1) - 0) + -2? -2 2 + 4 - (-6 - -6) - 13 -7 111 + -109 + (0 - (-2 - -5)) -1 What is the value of 1 + (-5 - -4) + -7? -7 Calculate 26 + -18 - (0 - -8). 0 What is 1 - (-23 - -28 - (1 - 8))? -11 What is 3 + -4 - (-3 - 2)? 4 What is the value of -5 - 2 - (-6 + 3 + -1)? -3 Evaluate 6 + 5 - 8 - (3 + -2). 2 What is the value of 4 - ((-1 + 8 - 5) + -9)? 11 Evaluate 4 + -6 + 9 + (-8 - -9). 8 What is the value of (-16 - -15) + (0 - -5)? 4 Evaluate 2 + -2 + (-4 - (1 - 7)). 2 What is the value of -7 - -6 - 10 - -16? 5 Evaluate 7 - (9 + -10 - -9). -1 What is the value of -5 + (6 - 6) + 6? 1 What is 4 + 4 + 1 + -8? 1 Evaluate 2 + 1 - (-11 - (-4 + -1)). 9 What is the value of -1 + 1 + 1 + 3? 4 What is the value of 8 + (-18 - (-1 - 7))? -2 Evaluate 82 - 80 - (-2 - 1). 5 Evaluate (2 - (6 - -2)) + -6 + 9. -3 What is 5 + (5 - 3) + -10? -3 Evaluate (5 - 1 - 0) + 65 + -71. -2 Evaluate (4 - 7) + (12 - 4). 5 What is 3 + (-3 - (2 + 0 - 5))? 3 Calculate (-5 - (-1 + -4)) + 3. 3 What is -12 + (2 + -7 - -13) - 0? -4 Calculate -30 - -24 - (-1 - 1). -4 2 - (-5 - (1 - (1 - -2))) 5 9 + -5 - (1 + 6) - -3 0 Evaluate (-1 - -6) + 4 + -4 - 3. 2 10 + -7 + -1 - 9 -7 -10 - -1 - -2 - -10 3 Evaluate 2 - 1 - (24 - 23). 0 9 + (17 - 22) + (-1 - -7) 10 What is the value of (-30 - -29) + -4 + (-2 - -4)? -3 Calculate (-9 - -9) + -9 + 9. 0 Calculate 1 - (11 + -12 + -2 + 4). 0 What is the value of 1 + -3 + 0 + (8 - 4)? 2 What is the value of 19 - (5 + -3 + 8)? 9 Evaluate 4 + (-6 - (-2 - -3)). -3 -2 + -5 + -2 + -1 + 5 -5 Evaluate -19 + 18 + 6 + 0. 5 What is (0 - -2 - (5 + -5)) + -6? -4 What is 17 - 12 - (1 + 1 + 0)? 3 What is 5 - (-2 - (6 + -11))? 2 What is the value of (-1 - 6) + -14 + 51 + -26? 4 Calculate 1 + -1 - (-50 + 44). 6 What is 4 + 0 + 3 + -3? 4 What is 7 + (-8 - -12) + -5 + -8? -2 What is the value of 6 + -1 + -1 - (-2 + 7)? -1 Calculate 1 - 4 - (-1 - (1 - 3)). -4 4 + 0 + -2 - (18 - 22) 6 Evaluate 1 - -2 - (21 - 18) - -5. 5 Calculate 59 - 53 - (1 + 3). 2 Calculate 10 - 12 - 2 - -10. 6 What is 16 - 1 - (-9 + (10 - -3))? 11 9 - -1 - (10 - 8) 8 What is 4 - (-2 + -3 - (-10 - -8))? 7 What is 4 - (-18 + 9 + 4)? 9 What is 7 - 0 - (-17 - -21) - -1? 4 Calculate 1 + 1 - (8 - -1) - -2. -5 What is (-2 - 2) + -1 + -2 - -2? -5 Calculate (-6 - (1 - 12)) + 0. 5 What is 1 + (2 - (3 + 2))? -2 What is 12 - 3 - 2 - 3? 4 0 - (-3 - -5 - 5) 3 What is the value of -7 + (3 - 6 - -11)? 1 0 + -11 - (-20 - -17) -8 Evaluate 4 + -1 + (-4 - -2). 1 Evaluate -10 - (-2 + 0) - (2 - 16). 6 -6 - (-1 + (-2 - -2)) -5 What is 24 + -29 + (3 - -11)? 9 Evaluate 1 - -1 - (5 + (7 - 8)). -2 Evaluate (1 + -3 - 1) + 2 + 1. 0 Calculate (-1 - 1 - (-2 - -1)) + -2. -3 What is the value of -2 + (-1 - -1) - -7? 5 Evaluate 10 + (-11 - (-15 - -10)). 4 What is the value of -5 - (0 + -5 + 3)? -3 What is -7 - (-15 - -16 - (0 + 5))? -3 What is the value of (3 - -2) + 6 + -15? -4 1 - 2 - (-25 + 19) 5 What is the value of 5 - 1 - (-52 + 57)? -1 What is 0 - 2 - 4 - -5? -1 What is -1 + 1 - -2 - (0 - -2)? 0 What is the value of (-4 + -2 - (0 - 5)) + -5? -6 Calculate 4 - (3 - -2) - 1. -2 What is the value of -2 - (12 + -15 - 4)? 5 Evaluate -15 + (4 - -7) + 5. 1 Evaluate 0 + 2 - (-2 + 1 - 2). 5 Calculate 0 - (2 - (-7 + 4)). -5 Calculate 8 - (-2 + -3 - -10 - -3). 0 Calculate (-7 - -1) + 1 + (-3 - -10). 2 2 + -20 + 4 + 6 -8 Evaluate 13 + -15 - (2 + 1). -5 What is the value of (-25 - -31) + (-1 - (-1 - -10))? -4 Evaluate 1 + -1 - (3 - 6). 3 Evaluate 6 - (1 - -3) - 0. 2 -2 + 5 - (3 + 1 - -1) -2 Evaluate -3 + (-5 - 7 - -12). -3 What is (1 - -1) + (0 - 4)? -2 Evaluate -1 + 2 - (-40 - -38). 3 Evaluate -7 + (11 - 4) + -3 + 0. -3 What is (-1 - (1 - (-2 - -4))) + 5? 5 What is (-18 - -24) + 3 + -2? 7 -4 - (-3 + (-5 - -8)) -4 What is 2 - (-3 + (0 - -5))? 0 What is the value of 2 + 0 + 1 + -5 + 2? 0 What is -1 + 0 + -3 + 3 - 3? -4 What is the value of -7 - -11 - (3 - -5)? -4 Calculate 3 - -5 - (12 - 5). 1 What is 3 + -1 + -3 + 3? 2 What is 0 + 1 - (1 - -3)? -3 Calculate 0 + -6 - (-15 - -13). -4 Calculate 8 + (-12 - -8) - (1 - 3). 6 What is the value of 2 + (17 - 9 - 8)? 2 What is -2 + 2 + -10 - -5? -5 Evaluate (-100 - -100) + -1 + 1 + -2. -2 Calculate 2 + -2 - (1 + (5 - 3)). -3 Evaluate (-2 - -5) + -3 + 4. 4 Evaluate (6 + -2 - 2) + -1 - -3. 4 What is the value of 1 - (-1 + 3 - -4)? -5 Calculate 9 - (5 + 10 + -7). 1 Evaluate -7 + -2 - (-7 + 2). -4 Evaluate -3 + 0 + (19 - 9) + -9. -2 What is the value of 5 + -7 + 4 + 1? 3 3 + (5 - (-2 - -5)) + -6 -1 Calculate -2 + (1 - (5 - 1) - 0). -5 What is 3 + -1 + (4 + -3 - 1)? 2 What is the value of (-7 - 3) + 2 + 4? -4 What is -3 + 2 - -2 - (10 + -8)? -1 1 + -2 + (-3 - (-3 - -1)) -2 Evaluate (0 - (1 + -4)) + 1. 4 Calculate 0 + (-3 - (-1 - 1 - -3)). -4 Evaluate (-2 + -2 - -9) + -7 + 11. 9 Evaluate -5 + (10 - 1) + 0 + -1. 3 Calculate 0 + -4 + -1 + 4 + 0. -1 Calculate -14 + (5 - (-3 - -2)) - -1. -7 6 + -2 + (0 - (10 + -5)) -1 -8 + 2 - (2 + -1 - 4) -3 What is the value of 93 - 92 - (-5 + 0)? 6 -1 - (9 - 4) - (16 + -18) -4 What is 6 + -4 - (0 + 2)? 0 Calculate 1 - (-11 + 4 + 2 - -6). 0 (-5 - 2 - -14) + -7 0 What is the value of 5 + 1 + (-24 - -13)? -5 Calculate 1 + (-2 - (0 - 1)) - -4. 4 Evaluate (-7 - ((6 - 12) + 0)) + -4. -5 What is the value of -2 - (4 + (3 - 8) + -3)? 2 What is -3 - 1 - -3 - (1 - 4)? 2 What is -6 + (3 - -5) + -4? -2 (1 - 10) + 3 - (45 + -49) -2 What is the value of -5 - (-5 - -4) - -8? 4 What is the value of (-2 - (2 - 8)) + -4? 0 (1 - 0) + 2 + -1 + 1 3 Evaluate 1 + 2 - (7 + -4 - 3). 3 Evaluate 414 + -413 + (-4 - (1 - 2)). -2 Calculate (-11 - (-7 + 5)) + 12. 3 Calculate 4 + -11 + (12 - 2). 3 What is (2 - -1) + 9 + -11? 1 Evaluate -1 - ((6 - 6) + 2 + -1). -2 Evaluate -1 - (6 + -1) - (1 - 5). -2 Calculate -2 - 0 - (15 + -23). 6 What is (-5 + 1 - (3 + -11)) + 0? 4 4 + -3 + (-4 - -4) 1 Calculate 2 - (-14 + 9 + 3 + 0). 4 -2 - ((12 - 9) + (-1 - 2)) -2 What is 4 - ((10 - 6) + (0 - -1))? -1 Evaluate 4 + -5 + -1 + -1 + -2. -5 Calculate -6 + (-3 - (-11 + 3)). -1 0 + -6 + 0 + -4 -10 What is the value of (89 - 90) + 1 + 1? 1 Calculate -15 + 6 - -7 - 2. -4 (-5 - (-1 - 0)) + -62 + 61 -5 Evaluate (19 - 16) + 3 + (3 - 3). 6 Evaluate -1 + 4 + 13 + -25 + 11. 2 11 + -7 - (-4 - -2 - -2) 4 What is the value of -7 + (-9 - -7 - (-2 - 2))? -5 What is -1 + -4 + 3 + 5 + 2? 5 Calculate -2 + -3 - (9 - 15). 1 5 + -1 + 2 + (-69 - -68) 5 What is the value of -3 - -7 - (-13 - -13)? 4 Calculate (-4 - (-5 - (2 - 3))) + -1. -1 Evaluate (7 - (3 + -1 - -2)) + -2. 1 Evaluate (2 - 12) + 14 + -10. -6 What is the value of -4 + (-1 - -10 - (-2 + 6))? 1 What is the value of 12 - (19 + 0) - (-3 - 0)? -4 -3 + (3 - -1) - 7 - -7 1 0 - (5 - -2) - (-74 + 69) -2 What is the value of -1 + (3 - 7 - (-2 + -1))? -2 What is 3 + -2 + 4 + 0 + -4? 1 What is the value of 1 + 2 - (-1 + (4 - 1))? 1 (-7 - -1) + (-1 - 0 - -5) -2 Calculate -11 + (-62 - -56) + 9 + -1. -9 Calculate 21 - 21 - (-2 + 1) - 0. 1 What is the value of -17 - (-3 - -3 - 10)? -7 -2 + 10 + (-3 - -8 - 6) 7 Calculate 3 + -3 + (-6 - -1) + 1. -4 Calculate -9 - -13 - (0 - 0). 4 Calculate -1 - (-6 + (-7 - -8)). 4 Calculate 1 + (-3 - -3) - (-1 + 0). 2 Calculate 3 - (-13 - (1 + -10)). 7 Evaluate -2 + 7 + 0 - 2 - 2. 1 Evaluate -1 + 3 + (1 - 6) - 3. -6 What is the value of -4 + -7 + 8 - (-4 - 0)? 1 -2 + -1 + (327 - 316) 8 What is the value of 2 + (-1 - (-5 - (0 - 10)))? -4 Evaluate 1 - (11 - (9 + -5)). -6 What is the value of 2 - (1 + 1 + (7 - 7))? 0 Evaluate 5 + -4 - 4 - -3. 0 What is (-4 - -2) + -2 - (26 - 31)? 1 What is the value of 2 + (-3 - (3 + -3))? -1 1 - 3 - (-11 + 4) 5 What is 0 + 2 + (-5 - -5)? 2 (10 - 9 - (6 + -1)) + -4 -8 -3 - (1 - -2 - 10) 4 1 + (4 - (4 + -3 + 0)) 4 Evaluate 1 + 2 - (-2 - -2 - 0). 3 What is -5 + -3 - (-8 + 1)? -1 What is the value of 1 + 0 + -1 - (289 + -287)? -2 What is -3 - (-2 - (-2 + -1 + 2))? -2 What is 13 + -8 + (-5 - -4)? 4 -5 + 1 + 3 - (7 - 2) -6 3 - (1 - -2 - (-1 + -1)) -2 What is 2 + (5 -
{ "pile_set_name": "DM Mathematics" }
= 2. Let u = j + 0. Let k(l) = -8*l**3 + 2*l**2 + 6*l + 7. What is the units digit of k(u)? 7 Suppose 1511*k = 1473*k + 2470532. What is the tens digit of k? 1 Suppose 4*a - 13807 = -5*r, 65 - 55 = -2*r. What is the thousands digit of a? 3 Let i be (-1100)/4*(2 - (4 - -1)). Let o be ((-1)/2)/(3/(-24)). Suppose o*g - i = -g. What is the units digit of g? 5 Suppose x - 11 = -2*x + 4*g, 3*x - 17 = -2*g. Let f(m) = 42*m - 256. Let n be f(8). Suppose -s - n = -x*s. What is the tens digit of s? 2 Let f be (2 - -235)*(-1)/(-3). Suppose 575 = 3*z - f. What is the hundreds digit of z? 2 What is the units digit of -1119*(-25)/((-400)/(-144))? 1 Let s(l) = -l**3 + 32*l**2 - l - 35. What is the hundreds digit of s(22)? 7 Suppose 5*c - 1873 = 3833 + 1384. What is the tens digit of c? 1 Suppose -78*z + 1330336 = 68*z - 128788. What is the thousands digit of z? 9 Let f be (((-28)/(-3))/7 + -2)*-18. Let y be (-45)/(-4) - (-9)/f. What is the tens digit of (y/8)/(18/636)? 5 Suppose -36*c + 15*c + 19346 + 17131 = 0. What is the units digit of c? 7 Suppose 3*o + 30 + 132 = 0. What is the units digit of (-187 + o)/((-1)/2)? 2 Suppose 619*r = -3*l + 620*r + 12917, -5*l + 2*r + 21526 = 0. What is the tens digit of l? 0 Suppose -414*f + 21782616 = -258*f + 282*f. What is the thousands digit of f? 9 Suppose 7308 = 11*x - 5*x. Suppose 12*f - 9366 - x = 0. What is the hundreds digit of f? 8 Let i(b) = -128*b + 2. Let m be i(-8). Suppose 0 = -4*y + m - 166. What is the tens digit of y? 1 Let o(j) = -26*j**2 + 29*j**2 - 5 + 24*j + 2 + 1. What is the tens digit of o(9)? 5 Let k(s) = -34*s - 80*s - 1 - 4 - 3. Let n be k(4). Let g = n - -709. What is the hundreds digit of g? 2 Suppose -21017 = 56*l - 623297. What is the thousands digit of l? 0 Let c(s) = 2*s**2 + 2. Let n be c(0). Let h be -1 - 1 - (n - 57). Let b = -9 + h. What is the tens digit of b? 4 Let o(w) = 366*w - 782. What is the hundreds digit of o(5)? 0 Let s(r) = -9*r + 10*r + 9 - 21*r + 31. Suppose 0 = -z - 3*z + 3*c - 47, -z - 6 = 5*c. What is the units digit of s(z)? 0 Suppose 4*k - 7 = 13. Suppose 25 - 20 = k*v. Let l(n) = 81*n + 3. What is the tens digit of l(v)? 8 Suppose -190*f + 388*f - 13251348 = 0. What is the tens digit of f? 2 Let p(g) be the first derivative of -3*g**4/4 + g**3/3 + 11*g**2/2 - 10*g + 87. What is the tens digit of p(-6)? 0 Let a(q) = 76*q - 34. Let f(c) = -2*c**3 - 12*c**2 - c - 2. Let j be f(-6). What is the hundreds digit of a(j)? 2 Let o(w) = 1116*w**2 - 34*w + 113. What is the thousands digit of o(-6)? 0 Let j = 67 - 56. What is the hundreds digit of -4 - (-3 + -14)*j? 1 Let l(t) be the second derivative of t**4/4 - 25*t**3/6 - 7*t**2 - 2*t + 10. What is the hundreds digit of l(13)? 1 Let n(b) = 2289*b - 1819. What is the units digit of n(24)? 7 Suppose c = -5*a - 65, -c - 29 = a + a. What is the tens digit of (-4)/a - -179*(-1)/(-3)? 6 Let h = 68 + 131. Let l = -149 + 36. Let p = h + l. What is the units digit of p? 6 Let z(a) = 912*a**2 + 252*a + 2263. What is the hundreds digit of z(-9)? 8 Suppose 0*s - 6770 = -s - 9*s. What is the tens digit of s? 7 Let w(l) = 3*l**2 + 36*l - 65. Suppose -230*k + 229*k = 20. What is the units digit of w(k)? 5 Let z = 74 - 136. Let t = -158 + 240. Let x = z + t. What is the units digit of x? 0 Let l(p) = 6*p**2 + 4*p - 36. Let y be l(-16). Suppose -29*k + 25*k = -2*c - 1906, 3*k + 5*c = y. What is the tens digit of k? 7 Suppose 4*c - 238 = -5*p, 4*p - 4*c - 209 = -c. Let k = p - 111. Let g = k - -64. What is the units digit of g? 3 Let d = 32 + -23. Let u be -1 + d/15 - (-6)/15. Suppose -3 = v - u*v, 2*i - 5*v - 269 = 0. What is the tens digit of i? 2 Suppose n - 6 = 0, 0 = 5*v + n - 4*n - 7572. What is the hundreds digit of v? 5 Suppose 47942 = 7*t + 6*t - 4279. What is the hundreds digit of t? 0 Let d(i) = -i**3 + 12*i**2 + 24*i - 1. Suppose 0 = -3*v - r + 44, -2*v - 2*r - r = -41. What is the units digit of d(v)? 2 Let y = 2230 + 45810. What is the thousands digit of y? 8 Suppose 0 = -4*p - 4*y + 168, 0 = -3*p + 4*p - 5*y - 30. Let a = p - 38. What is the units digit of 39/(-12) - a/(-8) - -119? 6 Let n(w) = 301*w - 35. Let d be n(20). Suppose y + d = 8*y. Suppose -186 = 3*h - y. What is the tens digit of h? 2 Suppose 48*s - 137042 - 292702 = 0. What is the hundreds digit of s? 9 Suppose 6*o - o - 29 = -4*k, 0 = -o - 5*k - 11. Suppose -o*b + 31 = -14. Suppose -n - 3*n + 2*l + 450 = 0, 15 = b*l. What is the hundreds digit of n? 1 Suppose 49*q + 67*q = -2*q + 3901080. What is the hundreds digit of q? 0 Suppose 76*k - 20150 = 26*k. What is the hundreds digit of k? 4 Let h(o) = 5169*o**2 + 58*o + 103. What is the units digit of h(-2)? 3 Let m = 415 + -408. Let y(x) = 5*x**2 - 23*x + 165. What is the units digit of y(m)? 9 Suppose -5*u = 3*a - 114300, 0 = 2*a - 3*u - 84094 + 7856. What is the hundreds digit of a? 1 Suppose -24*r = -2361 + 609. What is the tens digit of r? 7 Let k = 57 - -3551. What is the units digit of k? 8 Let s(h) = -81934*h**2 + 9*h + 23*h + 81931*h**2 + 2*h**3 - 32. What is the hundreds digit of s(9)? 4 Let b = -62 + 62. Suppose 2*d + 6*d - 624 = b. What is the tens digit of d? 7 Let u = -47 - -42. Let b = u - 3. What is the tens digit of (4 - (-164)/(-8))*b? 3 Suppose -25*b = 5*b - 216129 - 374901. What is the thousands digit of b? 9 Suppose 8*a = 12*a - 124. Suppose -4*h + a = -29. Suppose -u + h = -11. What is the tens digit of u? 2 Suppose -2*o = 2*o - 36. Let y(i) = -330*i - 3 + 338*i - 1 + 5 + i**3 + 3 - 9*i**2. What is the tens digit of y(o)? 7 Suppose -3*m = -g - 257, -4*m + 80 = -3*g - 266. Let w = 44 + -39. Suppose m = d - w. What is the tens digit of d? 9 Let u(m) = 12*m**2 - 5*m - 182. Let j(q) = 51*q**2 - 21*q - 727. Let a(x) = -2*j(x) + 9*u(x). What is the hundreds digit of a(-11)? 5 Suppose -14 = -s + 2*f, -5*f + 4 + 60 = 3*s. Suppose 0 = -10*d + 2*d + 864. Let z = d - s. What is the tens digit of z? 9 Suppose 2*z - 6*z = 2*h - 17582, 0 = 9*z - 54. What is the units digit of h? 9 Let o be -1 + (2 - 4) - (0 - 2). Let b(f) = -327*f**3 - 2*f**2 - f. Let z be b(o). Let q = -150 + z. What is the tens digit of q? 7 Let g = 651 + -648. What is the hundreds digit of (-5368)/(-10) + g + 60/50? 5 Let x = -36994 + 66590. What is the tens digit of x? 9 Let w(n) = -n**3 - n**2 + n - 84. Let j(c) = -1. Let z(u) = 4*j(u) - w(u). Let f be (12 - 22 - -10)/(3 + -1). What is the tens digit of z(f)? 8 Let x = 83674 + -46057. What is the hundreds digit of x? 6 Suppose -12555 = -6*i - 3*i. Suppose -s - 1745 = -5*n, 3*n = -2*s - 335 + i. Let v = n - 146. What is the tens digit of v? 0 Suppose -5*u + 8 + 2 = 0. Suppose -u*x + z = 7 + 113, x + 70 = -2*z. Let w = 177 - x. What is the units digit of w? 9 Suppose 15*u - u - 19*u + 34280 = 0. What is the hundreds digit of u? 8 Suppose 24*f + 32*f - 784 = 0. Let z(h) = 20*h - 11 - 2*h**2 + 3*h**2 - 2*h**2. What is the units digit of z(f)? 3 Suppose 2*o - 7 = -3. Suppose o = -0*u + u. What is the tens digit of (u/3)/((-30)/(-1935))? 4 Let c(i) = 133*i**2 + 405*i - 3295. What is the thousands digit of c(8)? 8 Let o = -9948 + 29393. What is the ten thousands digit of o? 1 Suppose 634 - 244 = 5*j. Suppose -a - 3*x = 15, -4*a - x - 2 = 3. What is the units digit of (j - a/(-4)) + 2? 0 Suppose -3512 - 2572 = -13*n. Suppose 3*p - 132 = -n. Let t = -9 - p. What is the hundreds digit of t? 1 What is the hundreds digit of (-396899)/(-7) + 66/(-77)? 6 Let o = 191 - 183. Suppose 17*n - 15471 = o*n. What is the units digit of n? 9 Let q(b) = -b**2 + 21*b - 104. Let i be q(9). Let w(k) = 3*k**3 - 14*k**2 + 39*k. What is the units digit of w(i)? 4 Let l(n) = 3 - 15*n**2 - 15*n**2 + 55*n**2 - 21*n**2 - 15*n. What is the units digit of l(-8)? 9 What is the ten thousands digit of ((-3)/2 - -2 - (-2780907)/(-966))*-7? 2 Suppose -4*n = -2*f + 30, -10 - 10 = -5*f - n. Suppose -20 = f*l, -2*b - 4*l + 691 = 71. What is the hundreds digit of b? 3 Suppose -3 = -3*b, 2*d = -3*d + 5*b. Let s(m) = 5*m**2 + 2*m - 3. Let x be s(d). Suppose -3*g + 394 = x*q, 110 = 4*g - q - 447. What is the units digit of g? 8 Suppose 40 = 5*j + 4*i - 13, i - 38 = -4*j. Suppose -1008 = 5*n - j*n. Suppose n = 3*v + 30. What is the tens digit of v? 7 Let q = -8594 + 44788. What is the hundreds digit of q? 1 Suppose -9*l + 7*l = -42
{ "pile_set_name": "DM Mathematics" }
*2 - 119*p - 19. What is the third derivative of a(r) wrt r? 14760*r**2 + 72*r - 6 Let w(g) = -122*g**4 - 8*g**3 - 480. Let q(k) = k**3 + 3. Let m(r) = -8*q(r) - w(r). What is the derivative of m(b) wrt b? 488*b**3 Let a(w) be the first derivative of -1336*w**4 - 6225*w - 3501. Differentiate a(n) with respect to n. -16032*n**2 Let k(x) = 392*x**3 - 169. Let y(s) = 37*s**3 + 111*s**3 + s**2 - 85 - s**2 + 47*s**3. Let w(f) = 3*k(f) - 7*y(f). What is the first derivative of w(p) wrt p? -567*p**2 Let u(h) = 2*h**3 - 3*h**2 + 3*h - 1. Let o be u(2). Suppose 7*a = o*a - 14. What is the third derivative of 8*x**3 + x**3 - 5*x**3 + a*x**3 - x**2 wrt x? 66 Let y be -4 + 17/(34/12). Find the first derivative of -62 - 11*i - 44*i**2 + 18*i**y + 11*i wrt i. -52*i Let o(z) be the third derivative of -1/30*z**5 + 0*z + 2/3*z**4 + 112*z**2 + 56/3*z**3 + 0. Find the first derivative of o(l) wrt l. -4*l + 16 Let b = -34 - -37. What is the second derivative of 46*n**3 - 7*n**3 + 11*n + 18*n**b + 19*n**3 wrt n? 456*n What is the third derivative of -2 + 819*j**5 - 1022*j**5 + 4*j**6 - 4*j**6 - 985*j**2 - 3*j**3 + 3 - j**6 wrt j? -120*j**3 - 12180*j**2 - 18 What is the first derivative of 5212*y**2 + 6138*y**2 - 3770*y**2 - 909*y**2 + 7530 wrt y? 13342*y Let z(o) be the third derivative of 1409*o**6/120 - 301*o**3 + 110*o**2 + 2. What is the derivative of z(d) wrt d? 4227*d**2 Let h(u) = -3*u**2 - 12*u - 5. Let d be h(-3). What is the derivative of -14 - 23*n**4 + 6*n**2 + 0 + 22*n**d wrt n? -4*n**3 + 12*n Let a(o) be the third derivative of 13 + 1/3*o**3 + 0*o - 2*o**2 + 1/5*o**5 - 19/24*o**4. What is the second derivative of a(t) wrt t? 24 Let l = 118 + -116. What is the third derivative of -3804*g + 28*g**l - 187*g**3 + 3804*g wrt g? -1122 Let x(m) be the first derivative of -10363*m**4/4 - 4*m**3 - 5*m**2/2 - 3*m + 3024. Find the third derivative of x(d) wrt d. -62178 Let a(s) = 2289*s**2 + 2412. Let d(v) = -2283*v**2 - 2414. Let z(r) = 5*a(r) + 6*d(r). Find the first derivative of z(m) wrt m. -4506*m Let s(i) be the first derivative of -i**6/24 + i**5/30 + 16*i**3/3 - 29*i**2/2 - 136. Let c(f) be the second derivative of s(f). Differentiate c(m) wrt m. -15*m**2 + 4*m Let r be (-42)/(-27) - 12/(-27). Find the second derivative of -56*w + 3573 - 3573 - w**3 - 2*w**r wrt w. -6*w - 4 Let k(n) be the second derivative of 19*n**7/21 - n**6/30 - 19*n**5/5 - n**4/6 - 4127*n**3/3 + 12249*n. Find the third derivative of k(o) wrt o. 2280*o**2 - 24*o - 456 Find the second derivative of -6394*d + 2*d**3 + 0*d**3 - 104079*d**2 + 103714*d**2 wrt d. 12*d - 730 Suppose -3*p + 30 + 63 = -3*i, 2*i = 4*p - 130. Find the first derivative of 8*x**2 - x**3 - p*x**2 + 14 + 61 wrt x. -3*x**2 - 52*x Let j(w) be the first derivative of -1112*w**3/3 - 3*w**2/2 - 346*w - 2518. Find the second derivative of j(s) wrt s. -2224 Suppose 28 = 4*k - 5*x + x, 0 = 3*k + 4*x + 14. What is the third derivative of 2633 - 80*a**k + 2*a + 295*a**4 - 2633 wrt a? 7080*a Let c = -124 - -129. What is the second derivative of 25*i**c + 44*i**5 + 61*i - 89*i wrt i? 1380*i**3 Suppose 2*k = -1046 + 1054. What is the third derivative of -57*c**2 + 83*c**k + 83*c**4 - 166*c**4 - 32*c**6 wrt c? -3840*c**3 Let p(k) be the second derivative of 53/12*k**4 - 11*k - 2 - 23/10*k**5 + 0*k**2 + 0*k**3. Find the third derivative of p(c) wrt c. -276 Suppose -4 = -2*h + 6*h. Let n(u) = -31*u**3 - 5*u**2 + 1. Let k(c) = -c**2 + 1. Let q(b) = h*n(b) + 5*k(b). What is the derivative of q(p) wrt p? 93*p**2 Let x(q) = 49*q + 345. Let b be x(-7). Let k(u) be the first derivative of -3/2*u**b + 3*u**3 + 0*u + 18. Find the second derivative of k(l) wrt l. 18 What is the second derivative of 60*i - 602*i**4 - 63*i - 38 - 56 + 0 wrt i? -7224*i**2 Let m(q) be the first derivative of -2695*q**4/4 - 131*q**3 - 1705. Find the third derivative of m(g) wrt g. -16170 Let o(b) be the second derivative of -b**8/80 + b**4/2 + 35*b**3/6 + 6*b. Let t(x) be the second derivative of o(x). Differentiate t(q) wrt q. -84*q**3 Suppose 0 = 3*a - 5*y - 980, -4*y + 91 = -a + 413. Differentiate 124*x**3 - a + 2*x**2 - 270*x - x**2 - 263*x + 533*x wrt x. 372*x**2 + 2*x Suppose 3*d - 5*g - 31 = 0, -2*g - 6 + 2 = 0. Suppose -2*n = -1 - d. What is the third derivative of -12*x**n + 3 + 5*x**2 + 8*x**2 - 3 wrt x? -288*x Suppose -10*n = 2*n - 60. Suppose -n*f - 23 + 38 = 0. Find the third derivative of -7*g**4 + 32*g**2 + 5*g**3 - 30*g**2 - 5*g**f wrt g. -168*g Let m(h) = -h**2 - 1. Let g(a) = -4*a**2 + 309*a + 1755. Let w(y) = -g(y) + 3*m(y). Differentiate w(i) with respect to i. 2*i - 309 Let n(i) be the first derivative of -11*i**6/6 + 345*i**4/4 + 1170*i**3 - 8280. What is the third derivative of n(h) wrt h? -660*h**2 + 2070 Let p(l) be the first derivative of 15*l**4/2 - 29*l**3/3 - 3415*l**2/2 + 2385. Find the second derivative of p(n) wrt n. 180*n - 58 What is the second derivative of -10*c**4 + 6*c**5 - 1255*c**3 + 2*c**2 + 420*c**3 + 426*c**3 - 5166*c + 409*c**3 wrt c? 120*c**3 - 120*c**2 + 4 Let j(r) be the first derivative of 0*r - 111 - 205/3*r**3 + 3/4*r**4 + 0*r**2 + 0*r**5 + 4/3*r**6. Find the third derivative of j(n) wrt n. 480*n**2 + 18 Let j(z) be the first derivative of -266*z + 4/3*z**3 - 214 + 17/2*z**2. Differentiate j(v) wrt v. 8*v + 17 Let w(l) = 1858*l**4 - 17*l**3 - 14*l**2 - 2760. Let h(q) = 620*q**4 - 6*q**3 - 5*q**2 - 919. Let a(s) = 17*h(s) - 6*w(s). Differentiate a(r) with respect to r. -2432*r**3 - 2*r Suppose 2*o + o = 6. What is the second derivative of 58*b + o - 2 + 1288*b**2 - 1336*b**2 wrt b? -96 Let n(k) = k**3 + k**2 - 21*k + 5. Let c be n(-5). What is the third derivative of 184*d**5 - 2*d**2 - 1 - 10*d + c*d - 41*d**5 + 11*d**2 wrt d? 8580*d**2 Let o(n) be the first derivative of -77*n**5/20 + 53*n**2/2 + 81*n - 75. Let x(w) be the first derivative of o(w). What is the first derivative of x(m) wrt m? -231*m**2 Let z(s) be the first derivative of 5*s**4 + 3*s**3 + 6*s**2 - 51*s - 844. What is the second derivative of z(p) wrt p? 120*p + 18 Let g(n) be the third derivative of 97*n**5/20 - n**4/8 + 1411*n**3/3 - 3555*n**2. Differentiate g(c) with respect to c. 582*c - 3 Suppose 0 = -9*h + 2*h + 21. Differentiate q**4 - 4*q**4 - 28 - 4*q + 3*q**3 - 3*q**h wrt q. -12*q**3 - 4 Suppose 75*k + 50 = 275. Let c(x) be the first derivative of 0*x**2 + 23*x - 20/3*x**k + 28. What is the first derivative of c(n) wrt n? -40*n Let c(l) = -2*l**5 - 185*l**3 - 4439*l**2 + 28. Let b(x) = -92*x**3 - 2220*x**2 + 12. Let u(z) = 7*b(z) - 3*c(z). Find the third derivative of u(i) wrt i. 360*i**2 - 534 Let n(x) = 1499*x**2 + 110*x - 6854. Let c(h) = 1499*h**2 + 92*h - 6855. Let m(j) = -6*c(j) + 5*n(j). What is the second derivative of m(o) wrt o? -2998 Let m(s) = -5*s**3 - 4*s**2 - 627*s + 6255. Let h(p) = -8*p**3 - 7*p**2 - 1249*p + 12511. Let i(u) = -4*h(u) + 7*m(u). What is the derivative of i(g) wrt g? -9*g**2 + 607 Let u(l) = 1949*l - 31237. Let o(w) = -487*w + 7814. Let h(f) = 23*o(f) + 6*u(f). Differentiate h(a) wrt a. 493 Let p(a) be the first derivative of -39/7*a**7 + 49/3*a**3 + 0*a**2 + 0*a**6 + 1/4*a**4 + 0*a**5 + 0*a + 61. Find the third derivative of p(g) wrt g. -4680*g**3 + 6 Let j = -671 + 685. Let s(w) = -264*w**3 + 1034*w**2. Let y(a) = 53*a**3 - 207*a**2. Let h(n) = j*y(n) + 3*s(n). Find the third derivative of h(z) wrt z. -300 Let w(g) be the first derivative of 11500*g**3/3 - 4714*g**2 + 7966. Find the second derivative of w(r) wrt r. 23000 Let w(i) = -i**2 + 12*i + 34. Suppose 123*c = 125*c - 28. Let m be w(c). Find the first derivative of m*t**2 + 25 - 56 + 8*t**2 wrt t. 28*t What is the second derivative of 0 + 2*i**3 + 31*i**2 - 143*i + 660*i + 0 - 374*i**4 + 373*i**4 wrt i? -12*i**2 + 12*i + 62 Find the third derivative of 0*v**3 - v**3 - 438638*v**2 - 15*v + 438637*v**2 + 33 - 956*v**4 wrt v. -22944*v - 6 Suppose 2 = -3*o + 2*v, 2*v + 0*v = 8. Differentiate -171 + 295*z**2 - z + 2*z - 297*z**o wrt z. -4*z + 1 Let r(c) be the third derivative of 0 + 92*c**2 + 0*c - 131/3*c**3 + 0*c**4 + 43/10*c**5. Differentiate r(f) with respect to f. 516*f Let d be (-10)/(-95) + 264/19. Let y(u) = -2*u - 2. Let t be y(-6). What is the second derivative of 21*l**2 + d*l**5 - 25*l + t*l**5 - 21*l**2 wrt l? 480*l**3 Let a(d) be
{ "pile_set_name": "DM Mathematics" }
23, -3*h = 3*s. What is the remainder when h is divided by -2*-1*1/2? 0 Let r(l) = -26*l - 11. Let f(j) = j**2 + 9*j + 8. Let m be f(-7). What is the remainder when r(m) is divided by 37? 34 Suppose -501 = -20*u + 419. What is the remainder when 183 is divided by u? 45 Suppose 2 - 8 = -2*p. Suppose -p*z - 4*q + 72 = z, -q = -1. Calculate the remainder when z is divided by 9. 8 Suppose -2*k + 4*s = -302, -15*k + 464 = -12*k + 5*s. Calculate the remainder when k is divided by 13. 10 Suppose 5*p = z + 3*z - 1356, 5*z = 3*p + 1695. Calculate the remainder when z is divided by 10. 9 Suppose -2*d - v + 15 = 0, 3 = d - 5*v - 21. Let t be 3 + 3 + -6 + (1 - -17). Suppose -3*q + t - 3 = 0. Calculate the remainder when d is divided by q. 4 Let t(l) = 4*l**3 + l**2 + 3 - 3*l + l**2 - 3*l**2. What is the remainder when 96 is divided by t(2)? 21 Suppose -6*w + 29 = -5*w. Let g be 89 + 1 + (-10)/2. Suppose 0 = -11*n + 25 + g. Calculate the remainder when w is divided by n. 9 Let a(b) = 4*b**2 - 2*b - 41. Calculate the remainder when a(-6) is divided by 13. 11 Let u(r) = r**3 - 11*r**2 - 21*r + 44. Calculate the remainder when u(14) is divided by 85. 83 What is the remainder when (1216/80)/(1/120) is divided by 21? 18 Let p(u) = -7*u**2 + 8*u + u**3 + 4 - 6*u + 7*u. Calculate the remainder when p(7) is divided by 23. 21 Let j = -752 + 792. Calculate the remainder when j is divided by 24. 16 Let b(r) = r**3 + 3*r**2 - 13*r - 22. What is the remainder when 531 is divided by b(-4)? 13 Suppose 0 = -36*w + 9*w + 2025. Calculate the remainder when w is divided by 67. 8 Let m = -899 + 2889. Calculate the remainder when 53 is divided by 6/(-14) + m/70. 25 Let v(j) = j**2 - 13*j + 26. Let p be v(11). Suppose -32 = -4*k + p. Calculate the remainder when 142 is divided by k. 7 Let q = 25 - 21. Suppose -w + 20 = -q. What is the remainder when w is divided by 13? 11 Let k(y) = 3 - 217*y + 5 + 216*y. Calculate the remainder when 58 is divided by k(-12). 18 Suppose -52 + 46 = -l. What is the remainder when 11 is divided by l? 5 Suppose -2*q = 2, -4*q + 2*q - 374 = -4*x. What is the remainder when 555 is divided by x? 90 Let m = 4 + 1. Suppose 0 = m*l - 0*l - 95. Calculate the remainder when 55 is divided by l. 17 Suppose 2*x - 4*x = -84. Suppose -x = -5*n + 58. Calculate the remainder when 77 is divided by n. 17 Calculate the remainder when (-12 - -10 - -17)/(3/24) is divided by 9. 3 What is the remainder when 389 is divided by 6/(-18)*-5*18? 29 Let b be 6/(-8)*(-25 - -17). Suppose 0 = -2*z + 3*g, -g = z - b*g + 14. Calculate the remainder when 40 is divided by z. 4 Let s(j) = 12*j + 16. Let y(v) = v**2 + v. Let w(a) = a**3 + a**2 - 14*a - 9. Let m(u) = -w(u) - 6*y(u). Calculate the remainder when s(0) is divided by m(-8). 7 Let u(l) = 17*l + 6. Let o be u(2). Suppose 35*n - o*n = -165. Calculate the remainder when n is divided by 19. 14 Suppose -135 = -2*b - 51*n + 52*n, b - 2*n = 66. What is the remainder when b is divided by 14? 12 Let t(g) = -5*g**3 + g**2 + 7*g + 6. Calculate the remainder when 121 is divided by t(-2). 13 Let n be 6/4*(-8)/(-6). Suppose 6 = n*d - 14. Calculate the remainder when 15 is divided by 8*2*5/d. 7 Let c = 101 - 70. Let k = 16 + c. Calculate the remainder when k is divided by 16. 15 Suppose -2*y + t - 5*t = -104, -5*y + t + 205 = 0. What is the remainder when 1/(-4) + (-2505)/(-20) is divided by y? 41 Suppose 98*f - 75*f = 2047. What is the remainder when f is divided by 35? 19 Let w be (-1248)/(-18) - -4 - (-1)/(-3). Suppose 0*b = -3*b + d + w, -103 = -3*b - 5*d. Calculate the remainder when b is divided by 6. 2 Suppose -5*h - 4*u + 58 = -296, 3*u - 3 = 0. What is the remainder when 306 is divided by h? 26 Suppose -4*l = -4*d + 80, -2*d + 0*l - 4*l = -52. Suppose 3*o = -6*r + 60, -2*r + 4 = -8*o + 13*o. Calculate the remainder when d is divided by r. 10 Suppose 0 = 3*z + 2*r - 305, -99 = -2*z + z + 2*r. What is the remainder when z is divided by 51? 50 Let z = -98 + 139. Calculate the remainder when z is divided by ((-11)/2)/(1/(-2)). 8 Let v = -66 + 69. Calculate the remainder when (-226)/2*(v + -4) is divided by 38. 37 Let b(t) = -t**3 - t**2 + 5*t - 3. Let z = -4865 + 4880. What is the remainder when b(-4) is divided by z? 10 Let s(v) = 13*v**2 + 4*v + 4. Let a be s(-2). Let z = 115 - a. Calculate the remainder when z is divided by 18. 13 Let m be (-2)/6 + (-3576)/(-9). Suppose m*k - 398*k = -27. Calculate the remainder when 107 is divided by k. 26 Suppose -4*r + 228 - 112 = 0. Suppose v - 2 - r = 0. Calculate the remainder when v is divided by 86/8 + (-2)/(-8). 9 Calculate the remainder when 55 is divided by (-5488)/(-49)*(-4)/(-14). 23 Let a = -69 + 71. Suppose t + 4*g = -11 - 1, 11 = a*t + g. What is the remainder when 77 is divided by t? 5 Suppose -2*c - 77 + 81 = 0. Suppose 305 = 5*v - 0*v - 2*d, 5*v = -c*d + 285. What is the remainder when v is divided by 10? 9 Suppose -11 = 4*t - 27. Calculate the remainder when 41 is divided by (45/(-6))/((-2)/t). 11 What is the remainder when 54 is divided by (-9)/((-9)/20) + 0? 14 Suppose 29*s - 117 = -10*s. Calculate the remainder when 3 is divided by s. 0 Suppose 0*f = f - 27. Suppose -23 = o - 5*r, o - 2*r + 5 = -3. Suppose 0 = k - o - 13. Calculate the remainder when f is divided by k. 12 Let v(q) = q + 16. Let x be v(5). Let w = x - -8. What is the remainder when w is divided by 8? 5 Suppose -2*r = k - 6, 5*k - 15 = -3*r - 2*r. Suppose u - 2 - 3 = k. Let n(y) = 2*y**2 + y - 3. Calculate the remainder when n(3) is divided by u. 3 What is the remainder when (-209)/(-4) - -24*19/(-1824) is divided by 8/(3/(4 + 2))? 4 Suppose 5*v + t - 81 = 0, -5*v + 75 = -6*t + t. Suppose -6*n + 4*n + 10 = 0. Suppose -58 = -7*s + n*s. What is the remainder when s is divided by v? 13 Let h = -419 + 478. Calculate the remainder when h is divided by 27. 5 Let w be (-2)/(12/(-9))*-2. Let u = 2 - w. Suppose d - 35 = -4*d - 2*h, u*h + 7 = d. Calculate the remainder when d is divided by 4. 3 Suppose 28*t - 835 = 789. What is the remainder when t is divided by 15? 13 Let g(o) = -2*o**3 - 2*o + 1. Let u = -7 - -5. Let y(i) = i**3 + 21*i**2 + 19*i + 20. Calculate the remainder when y(-20) is divided by g(u). 19 Suppose -4*r + 8*r = 3*p - 32, -5*p + 4*r = -56. Calculate the remainder when 90 is divided by p. 6 Let z(y) = 2*y**3 - 69*y**2 + 37*y - 87. What is the remainder when (-14)/(-4)*(1 - -37) is divided by z(34)? 13 Suppose -4*u = 2*i - 1022, -3*u = 5*i - 7*i - 777. Calculate the remainder when u is divided by 26. 23 Let o = 1388 - 1281. Calculate the remainder when o is divided by 63. 44 What is the remainder when (2442/(-88))/((18/32)/(-3)) is divided by 10? 8 Let a = 116 + -51. Suppose -i + 45 - 12 = -3*h, -i + 36 = -4*h. Calculate the remainder when a is divided by i. 17 Suppose 0 = 3*c - 5 - 4, 0 = 4*o - 2*c - 150. Suppose 0 = -3*z + 15, -4*a + 3*z + 25 = -0*a. What is the remainder when o is divided by a? 9 Suppose -r - 4*p - 78 = r, -r - 41 = 3*p. Let a = -28 - r. Calculate the remainder when 11 is divided by a. 4 Let y be -13*(-4 - 0 - -3). Let a = 31 + y. Calculate the remainder when 175 is divided by a. 43 Let j = 8 + -4. Let t(g) = 0 + g + 1 + g**2 + 0 + 14*g**3 - 3. Calculate the remainder when t(1) is divided by j. 2 Suppose -2*q - 3*r = -552, 0 = 20*q - 19*q + 3*r - 279. Calculate the remainder when q is divided by 12. 9 Let y be (16/2)/2 - 7. Let v be 1 + 3 + (-9)/y. Calculate the remainder when 17 is divided by (-1 + v)*2/2. 5 Let g = -144 + 68. Let n be (1 + 0)*(-2)/(-1). What is the remainder when 55 is divided by ((-14)/28)/(n/g)? 17 Suppose -12 = 2*q + 5*u, -5*q + 1 + 7 = 3*u. Suppose 2 + 6 = -q*i. Let g(z) = 10*z**2 + z + 2. What is the remainder when g(i) is divided by 14? 12 Let d = 41 - 16. Let u = -15 + 63. What is the remainder when u is divided by d? 23 Let y(z) = 4*z + 37. Calculate the remainder when y(-2) is divided by (1 - 3 - -15) + -3. 9 Let a be 73/3 - 8/24. Suppose 0 = -2*d - 2*g + 42, 5*g + a = d + 3*g. Calculate the remainder when d is divided by 13. 9 Suppose -2*v + 4*f + 28 = 0, v = -2*f - 0*f + 30. Suppose 4*r - 174 = -v. Calculate the remainder when 70 is divided by r. 32 Suppose -5 = -2*x - 5. Suppose 3*h - 38 - 40 = x. What is the remainder when 47 is divided by h? 21 L
{ "pile_set_name": "DM Mathematics" }
ose -c = 5*o + 21, -5*o + 5*c = c + 16. Sort 0, o, -3, -14 in increasing order. -14, o, -3, 0 Let b(t) = -t**2. Let x be b(2). Let l be (-23)/4 - 3/12. Let p = -2 - l. Sort -3, x, p in ascending order. x, -3, p Let d be (462/(-275))/((-8)/10). Let w = -3/2 + d. Sort -0.4, w, -5 in decreasing order. w, -0.4, -5 Let z = -7 + 15. Let w = -8.3 + z. Let l = -11 + 7. Sort w, -2/7, l in descending order. -2/7, w, l Let s = 0.88 + 0.12. Put -4/7, -5/2, s in increasing order. -5/2, -4/7, s Let u be 1 + -7 + -1 + 1. Let w = -6 - u. Sort -4, w, 3 in increasing order. -4, w, 3 Let y be (8/(-6))/(12/(-18)). Suppose -q + 1 = -0*q - y*i, 2*i + 21 = 5*q. Sort -1/5, -0.3, q. -0.3, -1/5, q Let q be (-5)/(-3) + -1 + -1. Sort 3/4, q, -0.5. -0.5, q, 3/4 Let p = 10.9 + -15.6. Let m = -0.7 - p. Suppose -2*l - 4 = 2. Sort l, -2/7, m in increasing order. l, -2/7, m Let m = -73 + 75. Put -2, m, 3 in increasing order. -2, m, 3 Suppose -3 = 3*n, 0 = -w + 3*w - 3*n - 1. Put -3, w, -2 in descending order. w, -2, -3 Let b(f) = -4*f**3 - f**2 + 5*f + 9. Let w(g) = -g**3 + g**2 + g + 1. Let i(x) = b(x) - 5*w(x). Let r be i(6). Put -5, 2, r in decreasing order. r, 2, -5 Let v be ((-4)/(-2))/(4/(-6)). Suppose -m = -7 + 9. Let s(k) = -k**3 - 6*k**2 + 1. Let i be s(-6). Sort m, i, v. v, m, i Let a(w) = w - 5. Let b be a(3). Let q be 3/(-6)*-2 - 0. Suppose -3*f = -2*f + q. Sort f, -5, b. -5, b, f Let p = -5 - -10. Let g = 5 - 3. Suppose -z + 1 = -g*f, -5*f + 5*z + 2 = z. Sort f, p, 1. f, 1, p Let t be ((-30)/9 - -3)*0. Let i(n) be the third derivative of -n**5/30 - n**4/12 + n**3/6 + n**2. Let l be i(1). Sort t, 1, l. l, t, 1 Let u be (2 - 3)*0/5. Sort -1, -6, u in increasing order. -6, -1, u Let h(j) = j**2 + 13*j - 4. Let a be h(-13). Put 19, a, -1, 5 in ascending order. a, -1, 5, 19 Let l = 0 + -4. Let o = 1 - l. Let u = 215 + -1933/9. Put o, u, -0.3 in increasing order. -0.3, u, o Let h(d) be the second derivative of -d**3/6 + 4*d**2 + d. Let t(p) = 4*p**2 + 2*p - 2. Let k be t(-2). Let r be h(k). Put r, -4, -1 in decreasing order. -1, r, -4 Let i be (-1)/((-1)/(-38)*2). Let q = 14 + i. Put 0.3, q, -0.5 in descending order. 0.3, -0.5, q Let o = -7 - -7. Let m = 4 + o. Sort 1, m, 3 in ascending order. 1, 3, m Let r(j) be the second derivative of 0 + 1/2*j**3 + j**2 + 0*j**4 + j - 1/20*j**5. Let w be r(-2). Sort w, -4, -0.1 in increasing order. -4, -0.1, w Let n be 6/(-5)*80/(-12). Suppose m + n = -0*m + 2*v, -4*v = -m - 10. Let u be (-3)/(m*2/8). Put u, -1/3, 0.2 in increasing order. -1/3, 0.2, u Let x(k) = -2*k. Let d be x(2). Suppose 2*g + 2*g = 0. Suppose g = -45*c + 47*c - 8. Sort d, c, 5 in ascending order. d, c, 5 Let t(w) = -w - 1. Let c be t(-1). Let h = 5 + -4. Put -3, c, h in decreasing order. h, c, -3 Let d = 3 + -7. Let n = 19.6 - 18. Let b = 0.4 + n. Put -2, d, b in decreasing order. b, -2, d Let i = 0.06 + -0.36. Let j = i - -0.3. Let u = j - -0.5. Sort -2, u, 5 in ascending order. -2, u, 5 Let p = -0.4 - -2.4. Let j = p - 6. Let x = j + 1. Sort x, -5, 0. -5, x, 0 Let f(r) = -r**2 + 16*r + 3. Let m be f(16). Sort 2/5, m, -0.2 in decreasing order. m, 2/5, -0.2 Let q(g) = -g + 5. Suppose t + 4*t + 23 = 2*p, 3 = -3*t. Let z be q(p). Sort 3, z, -5. -5, z, 3 Let h be 18/132*8/3. Put h, 4, 1/5 in descending order. 4, h, 1/5 Let m(c) = c**3 - c**2 - 1. Let z be m(2). Let o = -5.6 - -5. Let r = o + 0.5. Sort z, 2/9, r. r, 2/9, z Let i = -0.01 + 0.31. Put -0.5, -5, i in decreasing order. i, -0.5, -5 Let a = -156 - -159. Put -0.2, -2/3, a, 2/5 in decreasing order. a, 2/5, -0.2, -2/3 Let v = 31 + -30.5. Let b = -5 - -10. Sort -2, v, b in decreasing order. b, v, -2 Let g = -14/5 - -13/5. Let x = -78 + 1012/13. Let n = -1.04 - -1. Sort g, x, n in ascending order. g, x, n Suppose 3*d + 0*d + 9 = 0. Let y = 28 + -27. Put d, 5, y in decreasing order. 5, y, d Let z = -178 - -179. Sort z, 5, 0, -2. -2, 0, z, 5 Let c(l) = l**2 + 10*l + 22. Let u be c(-5). Put u, 0, 4 in decreasing order. 4, 0, u Suppose 30 = -5*k + 10. Let d be (0 - -1)*(5 - 8). Let n be 2/5 + (-27)/5. Put k, d, n in increasing order. n, k, d Let o be (-2)/((-1)/(-1)*-7). Let g = -33.6 + 1.1. Let d = -33 - g. Sort -3/8, o, d. d, -3/8, o Let j be 1*(0 + 2) + 0. Put j, 5, 4 in decreasing order. 5, 4, j Let q(j) = -2*j**3 + 4*j**3 - 3*j**3 - 2*j + j. Let o be q(1). Sort -3, -1, o in ascending order. -3, o, -1 Let x(i) = i**3 - 2*i - 1. Let u be x(-1). Let o(y) = -y + 32. Let m be o(0). Suppose 5*k + 1 + m = -4*n, -3*n - 11 = k. Sort 1, u, k. k, u, 1 Let g = -117 + 112. Let z(m) = 2*m**2 + 1. Let a be z(1). Sort a, 4, g. g, a, 4 Let y(f) = -f**2 - 4*f + 2. Let r be y(-4). Let v be (-54)/(-12)*r/(-6). Let s = 39/2 + -19. Sort v, s, 2. v, s, 2 Suppose -2 = -z + 2. Suppose 2*y = -5 - 3, 0 = -2*t - 3*y - z. Sort 3, -1, t. -1, 3, t Suppose 12 = 4*v - 0*v. Let j be (-1*v)/(-2 + 1). Let c(m) = 2*m + 28. Let u be c(-16). Put -3, u, j in ascending order. u, -3, j Suppose -1 = -5*c + 6*c, 0 = -5*l + 5*c + 60. Sort -2, l, 0 in ascending order. -2, 0, l Let w = -19 + 11. Let f = -10 - w. Put f, -5, 0 in descending order. 0, f, -5 Let t(l) = -l**2 + 16*l + 9. Let z(k) = -7*k + 2. Let o be z(-2). Let h be t(o). Put h, 3, -4 in ascending order. -4, 3, h Suppose -7*s = -0*s. Sort 2, s, 7. s, 2, 7 Let m(x) = -x**2 - 7*x - 2. Let w be m(-7). Let o be (w/(-3))/((-65)/(-15)). Sort 5, -5, o in increasing order. -5, o, 5 Let n = 0 - -5. Let v be 2/1*18/12. Let k be (-13)/5 + 9/15. Sort k, n, v in ascending order. k, v, n Let x = 0.31 - 2.01. Let z = -1.6 - 0.4. Let k = z - x. Put -0.5, 5, k in ascending order. -0.5, k, 5 Let c = 0 - 5. Let q = -1.976 + 0.016. Let y = 0.04 - q. Sort -0.3, c, y in increasing order. c, -0.3, y Suppose 9*d = 117 + 63. Sort 3, d, 5 in decreasing order. d, 5, 3 Let o = -31 - -28. Let k(m) = -m**3 - 7*m**2 - 6*m. Let n be -6 + (-2)/4*0. Let w be k(n). Put o, 5, w in increasing order. o, w, 5 Let k(w) = -2*w - 4. Let t be k(-3). Put 23, 5, t in increasing order. t, 5, 23 Let n(t) = 5*t**2 - t + 14. Let f(k) = -14*k**2 + 3*k - 41. Let l(s) = -6*f(s) - 17*n(s). Let y be l(-4). Sort y, -3, 0. y, -3, 0 Let i = 6 - 5.96. Let g = -4.04 + i. Let j = g + 6. Sort 0.1, j, -0.4 in decreasing order. j, 0.1, -0.4 Let i(m) = m**2 + 10*m + 11. Let c be i(-9). Sort 4, -2, c, 0. -2, 0, c, 4 Let b = -0.1 - -2.1. Let v = 2.88 + -4.87. Let u = -0.01 + v. Sort b, u, 3 in increasing order. u, b, 3 Let q be (-4)/6*36/(-16). Sort -0.5, q, 3/4 in increasing order. -0.5, 3/4, q Let l = -5 + 7. Let f be 4/16 + (-15)/(-4). Let d be (-7)/14 - 6/f. Put l, d, -1/3 in ascending order. d, -1/3, l Let r = 4 - -1. Suppose 0 = r*t + 20. Put -2, -1, t in decreasing order. -1, -2, t Let l(m) = -m**3 - 10*m**2 - 10*m - 7. Let o be l(-9). Sort 5, 0, o in ascending order. 0, o, 5 Let j = -21 + 21.24. Let t = 2.24 - j. Sort -0.1, -2, t in ascending order. -2, -0.1, t Let g(k) = -k**2 + k + 1. Let q be g(-1). Let r = 13.2 - -0.8. Let w = 18 - r. Sort -3/2, q, w in increasing order. -3/2, q, w Let g = 6 + -14/3. Sort 2/3, -4, g in decreasing order. g, 2/3, -4 Suppose 4*n + 3 + 1 = -4*o, -o + 3 = 3*n. Let h = 197 + -200. Sort h, n, -2/9 in increasing order. h, -2/9, n Let p = 0 + 3. Suppose p = -b + 2*b. Suppose -b*r - 6 - 3 = 0. Put -1, 0, r in increasing order. r, -1, 0 Let v(k) = k**3 - 4*k**2 - 6*k + 2. Let z be v(5). Let a = -0.05 + -0.25. Let y = 0.5 + a. Put y, 4, z in ascending order. z, y, 4 Let w = -2 - 0. Let a be (-4)/w + 0 + -2. Suppose q + 2*v = 5*v + 1, 5*q + v + 11 = a. Put q, -4, 4 in decreasing order. 4, q, -4 Let t = -10 - -7. Let h = 2 - -4. Suppose -4*k = 3*g - 1, k - h - 3 = g. Put k, 3, t in increasing order. t, 3, k Let i = 0.05 - 0.55. Let a(n) = 10*n**2 - 1. Let p be a(-1). Let l = p - 5. Sort i, -0.2, l. i, -0.2, l Let z be 2/4*0 + -1. Let j = -0.3 - -0.3. Let l = -0.12 + 0.42. Sort z, j, l in decreasing order. l, j, z Let a = 6 + 4. Suppose 0 = 3*t - 1 + a. Put 3, -2, t in descending order. 3, -2, t Let l = 27 + -26.15. Let u = -0.15 - l. Put 0, 3, u in decreasing order. 3, 0, u Let a = 38.8 - 39. Sort 1.9, a, 4 in increasing order. a, 1.9, 4 Let l be (-6)/(-15)*(4 - -2 - 1). Put -0.04, 0.3, -0.1, l in increasing order. -0.1, -0.04, 0.3, l Suppose -c = -2*c + 5*d + 15, 6 = 2*c - 2*d. Sort 5, -1, c. -1, c, 5 Let m = 0.01 + -2.01
{ "pile_set_name": "DM Mathematics" }
+ -2 + sqrt(2299))**2. -198*sqrt(19) + 9221 Simplify (sqrt(1584)/sqrt(11))/(3*sqrt(2)*-1). -2*sqrt(2) Simplify -4*(4*2*sqrt(144))/sqrt(8). -96*sqrt(2) Simplify (sqrt(240)*1 + sqrt(240) - sqrt(15))/((-1*sqrt(40))/sqrt(8)). -7*sqrt(3) Simplify (sqrt(81)/sqrt(3))**2 + sqrt(15)/(sqrt(10)/sqrt(2)). sqrt(3) + 27 Simplify -3*(sqrt(38)*-2)/sqrt(2)*3. 18*sqrt(19) Simplify -4 + sqrt(48) + sqrt(1200) + sqrt(48). -4 + 28*sqrt(3) Simplify 1*((0 + sqrt(2736) + -1)**2 + sqrt(2736)). -12*sqrt(19) + 2737 Simplify sqrt(468) + 5*sqrt(468)*-4. -114*sqrt(13) Simplify ((sqrt(1100) + sqrt(44))/sqrt(4))**2 + sqrt(121)/(1*sqrt(11)). sqrt(11) + 396 Simplify sqrt(26)/sqrt(2) + 1 + 3. sqrt(13) + 4 Simplify 5*(-1 + sqrt(3)) + ((sqrt(3) - sqrt(27)) + -1)**2. 8 + 9*sqrt(3) Simplify (-5 + 1 + sqrt(1700) + -2)**2. -120*sqrt(17) + 1736 Simplify ((3*sqrt(143)*1 - sqrt(143)) + sqrt(143) - sqrt(143))/sqrt(11). 2*sqrt(13) Simplify ((sqrt(612) - (sqrt(612) + 2*sqrt(612) + -2))**2 + 5*(sqrt(612) + 1))*-5. -12285 + 90*sqrt(17) Simplify (sqrt(45) - sqrt(135)/(2*sqrt(3)) - (-3*sqrt(135) - sqrt(135) - sqrt(135))/sqrt(3))**2. 5445/4 Simplify sqrt(18)/(-2*sqrt(324)). -sqrt(2)/12 Simplify ((((sqrt(168) - (sqrt(168) - (sqrt(168) - sqrt(168)*-3) - sqrt(168))) + sqrt(168))/sqrt(7))/sqrt(8))**2 + 1. 109 Simplify (sqrt(143) + sqrt(143)*-2 + sqrt(143))/sqrt(11)*-6. 0 Simplify sqrt(11) + (sqrt(77)/(sqrt(14)/sqrt(2)))**2 + (3 + sqrt(396))**2. 37*sqrt(11) + 416 Simplify sqrt(20)/sqrt(4)*3 + -6*(sqrt(125))**2. -750 + 3*sqrt(5) Simplify sqrt(52) + (sqrt(208) + -5)**2 + 1*(sqrt(52) + -1) + sqrt(52). -34*sqrt(13) + 232 Simplify -4 + sqrt(252) + 5 + -5. -4 + 6*sqrt(7) Simplify 2*sqrt(2299)*-6. -132*sqrt(19) Simplify (-4 + -1 + -5*(sqrt(325) + sqrt(325)*-1))**2. 25 Simplify 1*3*sqrt(2) - (3 + (sqrt(128) - sqrt(2))). -4*sqrt(2) - 3 Simplify -1 + (-1*sqrt(27)*-1)/sqrt(9). -1 + sqrt(3) Simplify sqrt(20)/(sqrt(324) - (sqrt(324) + sqrt(324)*4 + sqrt(324) + sqrt(324))). -sqrt(5)/54 Simplify (sqrt(17) + 0 - sqrt(17))*-3 + (-1*sqrt(68))**2. 68 Simplify ((sqrt(78)*2)/sqrt(6))**2 + sqrt(13) - (-1*sqrt(143))/sqrt(11). 2*sqrt(13) + 52 Simplify ((sqrt(77) + 5*(2*sqrt(77) - sqrt(77)) + sqrt(77))/sqrt(11)*-2 + -4)**2. 112*sqrt(7) + 1388 Simplify (1*((sqrt(77) - 1*sqrt(77)) + sqrt(77)) + sqrt(77))/(sqrt(176)*2). sqrt(7)/4 Simplify (2*1*sqrt(152) + sqrt(152))/(sqrt(8) - (sqrt(800) + (sqrt(800) - -1*sqrt(800)))). -3*sqrt(19)/29 Simplify (((sqrt(204) - 2*sqrt(204))*1)/sqrt(12))**2. 17 Simplify (-5 + (sqrt(5) - (1 + sqrt(5) + -4) - sqrt(5)))**2. 4*sqrt(5) + 9 Simplify -2*sqrt(18)/(sqrt(9) - (sqrt(729) - sqrt(729)*1)). -2*sqrt(2) Simplify 0 + sqrt(39)/((sqrt(54)/sqrt(3))/sqrt(6)). sqrt(13) Simplify (-1*(sqrt(605)*2*4 - (sqrt(605) + 1)*-3))**2. 726*sqrt(5) + 73214 Simplify (((sqrt(156) - sqrt(156)*-1)/sqrt(3))/((sqrt(144)*-1 - sqrt(144)) + sqrt(144)))**2. 13/9 Simplify 6*sqrt(44)*4 + -5. -5 + 48*sqrt(11) Simplify (sqrt(243)*2)/sqrt(9). 6*sqrt(3) Simplify (1*sqrt(1053)*-6)**2. 37908 Simplify sqrt(242)*3 + 3. 3 + 33*sqrt(2) Simplify -3 + sqrt(28) + -3 + 5. -1 + 2*sqrt(7) Simplify (sqrt(2448)*1 + -3 + sqrt(2448))**2*-5. -49005 + 720*sqrt(17) Simplify (2*(sqrt(405) - (sqrt(405) + sqrt(405)*2)) - sqrt(405) - -3*(-1 + sqrt(405)))**2. 108*sqrt(5) + 1629 Simplify -4 + (sqrt(171) + -2 + sqrt(171) - sqrt(171))**2. -12*sqrt(19) + 171 Simplify sqrt(176)*-1*-1. 4*sqrt(11) Simplify (0 + sqrt(17))**2*-4 + -5. -73 Simplify ((3*sqrt(13) + sqrt(13))*-3)**2 + 1 + sqrt(325) + sqrt(13). 6*sqrt(13) + 1873 Simplify (sqrt(84)/(-2*sqrt(3)))/((sqrt(4) - sqrt(16))*6). sqrt(7)/12 Simplify sqrt(448) + 0 + 2 - (sqrt(448)*2*-3)**2. -16126 + 8*sqrt(7) Simplify (4*sqrt(85)*-2 + sqrt(85))/(sqrt(50)/(sqrt(10) + sqrt(360))). -49*sqrt(17) Simplify sqrt(204)/((1*sqrt(72))/sqrt(6)) + (sqrt(17) - (sqrt(17) - (0 + sqrt(425))) - (0 + sqrt(17))*5)**2. sqrt(17) Simplify sqrt(891)*-6 - 1*(sqrt(539))**2. -539 - 54*sqrt(11) Simplify -1*(6*sqrt(110)/(sqrt(10)*-1) + -3). 3 + 6*sqrt(11) Simplify -4 + (5 + -5 + 1 + sqrt(5))**2. 2 + 2*sqrt(5) Simplify sqrt(15)/(sqrt(5) - sqrt(5)*2) + -5. -5 - sqrt(3) Simplify (-6*(5 + (sqrt(8) - (sqrt(8) + -1))))**2. 1296 Simplify (sqrt(3) + 1*sqrt(3)*-3 + sqrt(6)/(sqrt(6)/sqrt(3)))*-4. 4*sqrt(3) Simplify 5 + -6*(sqrt(10)/sqrt(2)*1)**2*1. -25 Simplify ((sqrt(68) + sqrt(68) + 1 - sqrt(68))*-1)**2 - (sqrt(68) - (-3*sqrt(68) + -2)). -4*sqrt(17) + 67 Simplify -2*((sqrt(768) + -3*sqrt(768))/sqrt(6))**2. -1024 Simplify -5*((0 + sqrt(2448))**2 + sqrt(2448) + -4 + (-2*sqrt(2448) + 3)**2). -61225 + 660*sqrt(17) Simplify 4*(sqrt(17) + (sqrt(17) - 1*sqrt(17))*2 - (-1 + sqrt(1700)))**2. -72*sqrt(17) + 5512 Simplify (sqrt(198)*-2 - sqrt(198))/sqrt(2). -9*sqrt(11) Simplify (sqrt(75) + 2*sqrt(75) - (sqrt(3) + 0 + 3))**2. -84*sqrt(3) + 597 Simplify (4*((sqrt(50) - sqrt(250)/sqrt(5))/sqrt(10) - 1*sqrt(500)))**2. 8000 Simplify (sqrt(130) - -5*(sqrt(130) + (sqrt(130) + (sqrt(130) - (-2*sqrt(130) - sqrt(130))) - sqrt(130) - sqrt(130))))/(sqrt(160) + (sqrt(160) - sqrt(160)*-2)). 21*sqrt(13)/16 Simplify sqrt(528)/sqrt(3) + sqrt(132)/(sqrt(12)*1) + -5. -5 + 5*sqrt(11) Simplify (-5*(sqrt(143)*-1 + sqrt(143)))/(sqrt(11) - (sqrt(176) + sqrt(11))*-4). 0 Simplify (-4 + sqrt(48)/sqrt(4))**2. -16*sqrt(3) + 28 Simplify (sqrt(18) + sqrt(54)/sqrt(3))*-6. -36*sqrt(2) Simplify 2 + (sqrt(272) + -2)**2 + -1. -16*sqrt(17) + 277 Simplify -5 + (sqrt(13) + -3)**2 + (2*sqrt(637))**2. -6*sqrt(13) + 2565 Simplify (-4*(sqrt(152)*-2 + sqrt(152)))/((sqrt(32) + sqrt(96)/sqrt(3))/sqrt(4) - sqrt(8))*-6. -24*sqrt(19) Simplify -3 + ((1 + sqrt(13))**2 - sqrt(13)) - sqrt(156)/(sqrt(12)*-3). 4*sqrt(13)/3 + 11 Simplify (sqrt(8) - sqrt(2)) + 2 + -2. sqrt(2) Simplify (2*sqrt(117)*-3 + sqrt(117))/(sqrt(9) + (-3*sqrt(81))/sqrt(9)). 5*sqrt(13)/2 Simplify 1*(3*sqrt(612) + -5). -5 + 18*sqrt(17) Simplify -2 + sqrt(15)/sqrt(3) - sqrt(15)/(sqrt(9)/sqrt(3)). -2 Simplify (3*(sqrt(468) + 1))**2*1. 108*sqrt(13) + 4221 Simplify (sqrt(63)/sqrt(3)*-4)/(1*sqrt(847)). -4*sqrt(3)/11 Simplify (0 + sqrt(1008) + sqrt(1008)*1 + sqrt(1008))*1. 36*sqrt(7) Simplify 0 + 4*sqrt(18). 12*sqrt(2) Simplify 5 + (sqrt(288) - (sqrt(288)*-1 + 5 - sqrt(288))**2) + 4. -1168 + 252*sqrt(2) Simplify -2*(1 + sqrt(2)) - (sqrt(2) + (sqrt(18) - (sqrt(18)*-1 + sqrt(18)))/sqrt(9) + sqrt(2))**2. -20 - 2*sqrt(2) Simplify sqrt(27)/(sqrt(36)/sqrt(4))*-5. -5*sqrt(3) Simplify ((sqrt(68) + 1*(sqrt(68) + 0 + sqrt(68) - sqrt(68)) - (0 + sqrt(68)*1))*-4)**2. 1088 Simplify (-4*sqrt(9)*-2)/(sqrt(36)/sqrt(48)). 16*sqrt(3) Simplify 3 + (2 + sqrt(272))*-1. -4*sqrt(17) + 1 Simplify ((-1 + sqrt(176) + sqrt(11))**2 - sqrt(11)) + -5. -11*sqrt(11) + 271 Simplify ((6*(sqrt(22) - sqrt(88)))/sqrt(2))**2. 396 Simplify (1 + sqrt(68))**2 - (sqrt(272) + 1). 68 Simplify 3*(sqrt(84)/sqrt(4))/sqrt(3). 3*sqrt(7) Simplify (sqrt(168)/sqrt(3) + sqrt(14))/(6*sqrt(8)/sqrt(4) + sqrt(2)). 3*sqrt(7)/7 Simplify (-3 + sqrt(22)/sqrt(2) + sqrt(11) - (sqrt(11) - sqrt(891)*2))**2*-2. -7960 + 228*sqrt(11) Simplify -5*(5 + sqrt(13)) + 4. -21 - 5*sqrt(13) Simplify 5 + (-2*sqrt(2))**2*6 + (sqrt(20)/sqrt(2))/sqrt(5). sqrt(2) + 53 Simplify sqrt(88)/(sqrt(33)/sqrt(3)). 2*sqrt(2) Simplify (sqrt(720) - (sqrt(720)*1 + sqrt(720)))/(sqrt(40)*6). -sqrt(2)/2 Simplify (-2 + 2 + -2*sqrt(28))*-6. 24*sqrt(7) Simplify -4*(-2*sqrt(343)*-1)**2*4. -21952 Simplify (sqrt(125) - ((sqrt(125)*2 - sqrt(125)) + sqrt(125)))*1 + -4. -5*sqrt(5) - 4 Simplify (-4*(sqrt(2)*2 + sqrt(2)) + (5*1*sqrt(2) - sqrt(2)) + -1)**2. 16*sqrt(2) + 129 Simplify sqrt(700) + -2 + -3. -5 + 10*sqrt(7) Simplify -1 + (sqrt(27)*-4*2)**2. 1727 Simplify (6*sqrt(130)*-2)/sqrt(10). -12*sqrt(13) Simplify -3*(2 + sqrt(108)). -18*sqrt(3) - 6 Simplify (sqrt(170) - ((sqrt(170)*2 + sqrt(170))*3 + sqrt(170) - sqrt(170)))/(sqrt(90)*-5). 8*sqrt(17)/15 Simplify sqrt(700)/sqrt(4) + sqrt(7) + 1. 1 + 6*sqrt(7) Simplify (sqrt(637)*2)**2 + -1. 2547 Simplify 6*(sqrt(14)/sqrt(2)*5 + -5)**2. -300*sqrt(7) + 1200 Simplify -2 + sqrt(15)/(sqrt(20)/sqrt(4))*3 + -4. -6 + 3*sqrt(3) Simplify -5 + (sqrt(500)*-1)**2. 495 Simplify ((sqrt(275) + (sqrt(275) - (-3*sqrt(275) + 2)))*3)**2. -900*sqrt(11) + 61911 Simplify 5 + -3*((0 + sqrt(1377))**2 + -4). -4114 Simplify sqrt(204)/(sqrt(12) + (2*sqrt(96))/sqrt(8)). sqrt(17)/3 Simplify 6*(2 + sqrt(768)). 12 + 96*sqrt(3) Simplify
{ "pile_set_name": "DM Mathematics" }
0/32. What is the nearest to b in 0, a, -0.07? -0.07 Let q = 3.663 - 0.063. Let r = 1.6 - q. Let u be 16/(-120)*(-1 - 5). Which is the nearest to r? (a) u (b) -5 (c) 5 a Let s = -9290.4009 - -9290. What is the nearest to 1 in -1, -2, s? s Let d = -15541 - -15543. What is the nearest to -24 in 1, d, -5, 2/3? -5 Let t = -1981 + 1979. Which is the closest to 14? (a) t (b) -3 (c) 2 (d) -1 c Let z = 38656/7 + -5522. What is the closest to 2/3 in z, 3, 1, -5/4? 1 Let s = 5461 + -5464. What is the nearest to 1/6 in 9/8, -9, 1/7, s? 1/7 Let o = 12.148 + -9.148. Which is the nearest to -0.1? (a) 2 (b) o (c) -1/3 (d) 1/88 d Let z = -22618 - -22618.2. Let d = -6.5 - -5. Let x = -1 - d. Which is the closest to 2? (a) x (b) z (c) -2 a Let l = 0.7 + -0.6. Let g be (-17)/(-51)*(-1062 + 1). Let r = g - -354. What is the closest to l in r, -1, -3? r Let g be 2/((-4)/1)*(7 + 632/(-104)). Which is the nearest to 0.1? (a) 3 (b) g (c) 3/16 c Let u be (-3 + 12 + (-637)/78)/(5/9). What is the closest to -1/3 in 3, u, 3/4? 3/4 Let u = 510.94 + -511. Let x = u + 0.56. Which is the closest to -0.1? (a) 0.1 (b) x (c) 1 a Let f be (2 - -4) + 210/(-14) - -9. What is the nearest to -2/3 in f, -0.04, 1/4, -4.3? -0.04 Let p(r) = 3*r**3 - 41*r**2 - 253*r - 3. Let k be p(17). What is the closest to 0 in k, 0, -2? 0 Let l = -5 - -4.7. Let s = -173 + 392. Let n = s + -223. Which is the closest to 23? (a) l (b) -5 (c) n a Let u = 8.6 + -8.4. Let o be (8/60)/((-12)/18). Let i(d) = 4*d + 60. Let l be i(-14). Which is the closest to 0.6? (a) o (b) l (c) u c Let p be (-2992)/21318*(-6)/4. Which is the closest to 2/13? (a) 0.1 (b) -0.3 (c) p a Let m be ((-20)/(-30))/(2 - 0). Let q = 94/25 + 847/300. Let f = q - 25/4. What is the closest to m in -3, f, 0? f Let z = -4742.94 - -4743. Which is the closest to -2/5? (a) -0.4 (b) z (c) 5 (d) 1 a Let t = -1850 - -1856. Let i = 66 - 196/3. Which is the nearest to 1? (a) t (b) 5 (c) i c Let l(q) = -q**3 + 42*q**2 - 9*q + 373. Let v be l(42). Let j = 5.31 + 16.59. Which is the closest to 1? (a) v (b) j (c) 1 c Let k = 0.12 - 0.02. Let b = -185 - -121. Let g = -63 - b. What is the nearest to g in -0.5, k, 2/7? 2/7 Let r(j) = 6*j + 60. Let m be r(-8). Let w(v) = v**3 - 13*v**2 + 12*v + 4. Let z be w(m). Which is the closest to -1? (a) 3/8 (b) -3 (c) 5 (d) z a Let c(i) = i**3 - i**2 + 2*i - 2. Let b be c(1). Suppose b = 2*n - 6*n + 12. Let q = 0.04 + 0.36. What is the closest to 2 in q, -1, n? n Let d = -7386 - -7382.1. What is the closest to -3/5 in d, -0.4, -5? -0.4 Let x be 3 - (294/162 - 2)*-15. Let m = -42.4 + 42.9. Which is the nearest to -1/4? (a) 3 (b) x (c) -0.1 (d) m c Let o = 8.778 - 8.948. What is the closest to 0 in -0.5, o, 1/5? o Let c = 0.12 - 0. Let s = 0.38 + c. Suppose 16*z + 13*z = -29. What is the closest to 0.1 in z, s, 0.01? 0.01 Let h = -156 + 155.81. What is the nearest to h in 0.3, -3/2, 2/5? 0.3 Let n = -200.0402 + 0.0402. Let s = 203 + n. What is the closest to 0.8 in s, -4, -3? s Let r be (1/21)/(2/12). Let c = -1951 + 1953. What is the closest to r in c, -3, -4? c Let o = -17827 - -17823. Which is the closest to 136? (a) -1/3 (b) -5 (c) o a Let g = -130 + 213. Let h = g + -79.1. Let j = 23112 - 23112.4. Which is the closest to h? (a) 3/5 (b) 3/4 (c) j b Let q be 8/(-6)*((-27495)/(-26))/(-15). Suppose -d = -90 + q. Let w(m) = m**2 - 3*m + 3. Let y be w(2). Which is the nearest to y? (a) d (b) 2 (c) -5 b Let s = -26818 + 26829. What is the nearest to 2/69 in s, -0.3, -5? -0.3 Let i = -453.1 + 453. What is the closest to i in -14, 4/5, 0? 0 Let k(w) = -6*w**3 + 114*w**2. Let o be k(19). What is the closest to -2 in o, 5, -2/47, -3? -3 Let x = 6 - 8. Let m = 0.1307 + -0.6307. Which is the closest to 0.1? (a) m (b) -2/21 (c) x b Suppose p = n + 8, 74 - 27 = -4*n + p. Let f = 42 + -40. What is the closest to n in -1/4, 0.4, f? -1/4 Let z = -1 - -1. Let s = 20.862 + -20.562. Which is the closest to z? (a) -1 (b) s (c) 2 b Let h be (-3 - ((-240)/144 + -1 + 0))/1. Which is the nearest to h? (a) 3 (b) -3.6 (c) -3/4 (d) 1/3 c Let h = 27.4734 - 31.4734. Let d be 3 - (-1)/(-3 + 2). What is the closest to -4 in -0.2, -29, d, h? h Let o = -2 + -4. Let y be ((-14255)/80)/(-1*(-1)/(-2)). Let q = y + -356. What is the closest to 1 in 5, q, o? q Let o be (40/(-176))/((-900)/(-330)). Let r = 6 - 8. What is the nearest to o in 0, 6, r? 0 Let c(u) = -46*u - 2. Let f be c(0). Suppose 4*v = -v - 3*p + 2, 4*p = -4*v. What is the nearest to v in 2/21, f, -2/17? 2/21 Let f be 324/10 - (-3 + 68/20). Let z be f/6*(-7 + 10). Let h be (-2)/5 + (-7)/((-35)/z). Which is the closest to 0? (a) -2/7 (b) 2 (c) h a Let p = -126 - -125.9. Let m = 5.3 - -1.7. Let n = m - 9. What is the nearest to -2 in n, -2/5, p? n Let y = 107.92 - 0.92. Let r = 111 - y. Which is the nearest to 0.1? (a) -5 (b) r (c) -0.9 c Let z = -332.7 + -309.8. Let n = -643 - z. Let p be (-2)/6*(-18)/22. What is the closest to 0 in n, -2, p? p Let n = 8.5 + -8. Let h(x) = -x**3 + 6*x**2 + 8*x - 4. Suppose -2*d + 35 = 3*d. Let u be h(d). Which is the nearest to -2? (a) -0.2 (b) u (c) n a Suppose 33 = 32*s - 927. Let x be ((-4)/s*-5)/(-2 + -2). What is the nearest to -7 in -2, x, -0.9? -2 Let p be (2 - 0 - 2) + -1. Let j = 88 - 269/3. Let h = -29444.4 + 29452.4. What is the nearest to h in -1/2, j, p? -1/2 Let q be (-5360)/4200 + (-4)/70 + 2. Let o = -0.7 - -0.8. Which is the nearest to o? (a) -3 (b) q (c) -32 b Let m = -549.8704 - 0.1296. Let f = 544.5 + m. Which is the closest to 0.1? (a) f (b) -0.4 (c) 1/7 c Let x = -7771/4 + 1943. What is the closest to x in 3, -13/3, -2/7, -5? -2/7 Let h = 5.062 + -5.362. Which is the nearest to h? (a) 0.4 (b) -2/21 (c) 3/8 b Let f(k) = 4*k + 9. Let p be f(-3). Let z = 6 + p. Suppose 3*s - 12 = -d, 0 = -3*d - 2*s + z - 2. Which is the nearest to -1? (a) -3/10 (b) d (c) -5 a Suppose 5*y - 4 = -w, -2*y + 4*w = -0*y + 16. Let k = 6.3 + -6. Suppose 51 = 11453*m - 11436*m. What is the closest to y in -4, m, k? k Let y(b) = -b**2 - 136*b - 404. Let s be y(-133). What is the closest to -7 in 155, s, -1/6, -1/2? s Let d = 138 + -137. What is the nearest to d in -0.34, -0.4, 2, -1? 2 Let j = 19430 + -19433. Which is the nearest to 1? (a) 0.3 (b) j (c) -2 (d) 33 a Let j = -4 - -4.2. Suppose 2*f = -5*d - 605, 0*f + f + 5*d + 310 = 0. Let z = f + 2654/9. Which is the nearest to j? (a) -0.1 (b) -3 (c) z a Let b = 289 + 18. Let v = 325 - b. What is the nearest to -2/5 in v, 5, 1? 1 Let q = 166.5 - 170. Let a = q + 3.5. What is the nearest to a in -0.2, -2, 1/7? 1/7 Let m(h) = -h**2 + 47*h + 673. Let q be m(58). Which is the closest to -2/3? (a) 3 (b) q (c) -2/13 c Let n = -162 - -161.6. Let s be (0 - 4)*(-3 + 1). Let q = 5 - s. What is the nearest to 0 in q, -2, n? n Let c = 2892 - 2891.7. What is the nearest to -2 in c, -0.4, -0.3, -3? -3 Suppose -27*f + 76 = -25*f. Let k = 34 - f. Let m be k/24*(5 - (-1)/(-1)). What is the closest to m in 3, -2, 4? -2 Let q be (8/(-6))/((-2)/3). Let d be 3 - 5/((-10)/4). Suppose 482*k + x = 486*k + 1, -5 = -4*k + 3*x. Which is the nearest to k? (a) -0.1 (b) d (c) q a Let t = -31 + 30.7. Let b = -327 + 464. Let f = b - 137.08. What is the nearest to f in 3, 1/3, t? t Let m be (-8)/(-70)*6/(72/30). Let j = -3.081 + 3.181. What is the closest to j in -1, m, -0.3, -3/5? m Let j = -422 - -421.8. Let b = 10 + -5. Let f(w) = -w**3 + 3*w**2. Let g be f(3). What is the closest to j in b, -2, g? g Let h = -0.189 - -0.322. Let o = -0.033 + h. Which is the nearest to o? (a) -0.01 (b) 3 (c) -0.5 a Let b = 31.05 - 31.11. What is the closest to -0.4 in b, 0.2, 1/30, 0.3? b Suppose -2*s - 120 = -110. Let n = 0.043 + -0.243. Which is the closest to -1? (a) s (b) n (c) 2 b Let q(t) = -t**3 + 11*t**2 + 2*t - 11. Let m be q(8). Suppose 7*l + 43 = m. Let n be l/21 - (-30)/105. What is the closest to n in -1, -2, -0.1? -0.1 Let o = 181 + -177. Let m be ((-1)/(-2))/((-7)/(-70)). Let h = 68 + -69. What is the nearest to -1/5 in m, h, o? h Let v = 2181 + -2182.153. Let k = v + -0.247. Which is the closest to 0.2? (a) -5 (b) -1/3 (c) k b Let v = 5 - 0. Let y = 521871.2 + -521871. What is the closest to -1 in y, v, -3, -1? -1 Let u = -884 + 89
{ "pile_set_name": "DM Mathematics" }
Let n(p) = -52*p. What is n(l(y))? 104*y**2 Let b(z) = z + z + 0*z. Let n(l) = -480*l + 22. Let j(q) = -241*q + 12. Let o(y) = -11*j(y) + 6*n(y). Determine o(b(f)). -458*f Let x(u) = -3*u**2. Let i(s) = s**2 - s + 11. Let g(c) = -2*c**2 + 23*c - 33. Let j(d) = g(d) + 3*i(d). Calculate j(x(t)). 9*t**4 - 60*t**2 Let m(t) = t**2 - 20. Let p(c) = c**2 - 4*c. Let r = -278 + 289. Let l(a) = -5*a**2 + 22*a. Let d(w) = r*p(w) + 2*l(w). Give d(m(q)). q**4 - 40*q**2 + 400 Let h(l) = 11*l. Let r be (-1)/(-15)*0 - -4. Let i(b) be the third derivative of 1/60*b**5 + 0*b**3 + 0 + 22*b**2 + 0*b**r + 0*b. Give h(i(w)). 11*w**2 Let v(j) = -147*j + 580*j + 290*j**2 - 145*j - 143*j - 142*j. Let u(y) = -y**2. What is v(u(c))? 290*c**4 - 3*c**2 Suppose -6*q + 2*b = -4*q - 1668, -q + 5*b + 834 = 0. Let h(n) = 7*n - 834 + q + 0*n**2 + 3*n**2. Let l(w) = 3*w. What is h(l(j))? 27*j**2 + 21*j Let b(g) = 47*g**2. Let v(c) = 5813489*c. Calculate v(b(k)). 273233983*k**2 Let r(m) = -4*m**2. Let g(d) = 30692682*d. Give g(r(w)). -122770728*w**2 Let c(o) = 1189300*o**2. Let j(v) = 3*v**2. Determine c(j(h)). 10703700*h**4 Let d(q) = -325*q**2 - 39*q - 78. Let l(r) = -33*r**2 - 4*r - 8. Let h(n) = 8*d(n) - 78*l(n). Let w(z) = 5*z + 2. Determine w(h(b)). -130*b**2 + 2 Let b(y) = 14*y + 31. Let o(h) = -11*h - 14. Let g(d) = 3*b(d) + 5*o(d). Let r(l) = 9*l**2. What is r(g(z))? 1521*z**2 - 5382*z + 4761 Let q(p) = 2*p. Suppose -5*s + 5 = 5*y - 0, 0 = -2*s + 3*y + 27. Let v be (-132)/8*((-86)/s - -1). Let l(t) = -114*t**2 - 92*t**2 + v*t**2. Determine q(l(x)). 28*x**2 Let l(z) = -10 - 2*z + 4*z - 46 + 6. Let y(f) = -13*f - 3. Let c(s) = 35*s + 8. Let a(p) = 3*c(p) + 8*y(p). What is l(a(n))? 2*n - 50 Let z(h) = 3*h**2. Let v(r) = 455*r + 149. Calculate v(z(t)). 1365*t**2 + 149 Let t(g) = 1590*g. Let y(d) = -12*d**2 - 93*d - 1. Determine y(t(f)). -30337200*f**2 - 147870*f - 1 Let d(x) = 5*x**2 - 4*x - 28. Let l(k) = -6*k**2 + 5*k + 35. Let f(z) = 10*d(z) + 8*l(z). Let a(y) = 6*y**2 + 10*y**2 + 25*y**2. Calculate f(a(g)). 3362*g**4 Let x(c) be the first derivative of 1/60*c**5 + 0*c**3 + 0*c + 0*c**4 + 5 - c**2. Let p(g) be the second derivative of x(g). Let k(t) = -7*t**2. Give p(k(h)). 49*h**4 Let v(i) be the second derivative of i**4/12 - i**3/2 + 5*i**2 + 9*i. Let x be v(0). Let r(q) = x*q + 13*q - 56*q + 15*q. Let j(o) = -o**2. Calculate j(r(m)). -324*m**2 Let r(f) = -4*f. Let n(l) = -3*l - 2. Let y(m) = -16*m + 6. Let z(h) = -4*n(h) - y(h). Give z(r(g)). -112*g + 2 Let j(c) = -440*c. Let p(s) = 20*s - 45*s + 6*s + 23*s. What is p(j(k))? -1760*k Let i(a) = -2*a. Let g(p) = 13*p**2 + 2*p - 108. Let m(o) = -14*o**2 - o + 90. Let v(s) = 5*g(s) + 6*m(s). Determine v(i(b)). -76*b**2 - 8*b Let n(h) = -3*h**2. Let l(j) be the first derivative of -68*j**3/3 - 4*j**2 - 312. Give l(n(x)). -612*x**4 + 24*x**2 Let r(s) = 23777444*s. Let o(m) = -2*m. Calculate o(r(j)). -47554888*j Let c(j) = 4490*j - 13482*j + 4493*j + 4485*j. Let g(p) = -612*p. Calculate c(g(t)). 8568*t Let f(o) = -57*o**2. Let t(u) = -41725*u. Calculate f(t(q)). -99235610625*q**2 Let t(k) be the first derivative of 0*k + 0*k**2 - 2/3*k**3 - 30. Let h(i) = -57*i**2. Determine t(h(m)). -6498*m**4 Let m(b) = 6*b**2. Let g(w) be the third derivative of -w**5/20 + 65*w**3/6 - 25*w**2 - w. Let t(j) be the first derivative of g(j). Give t(m(p)). -36*p**2 Let n(d) = -d - d - 13 - 6*d - d**2 - d. Let m be n(-5). Let z(a) = 5*a**2 + 3*a**2 + m*a**2 - 16*a**2. Let p(y) = -99*y**2. What is p(z(k))? -99*k**4 Let o(h) be the second derivative of h**4/6 - 13*h**3/6 + 29*h. Let c(l) = 10*l**2. Calculate o(c(v)). 200*v**4 - 130*v**2 Let i(s) = -18*s**2 + 3*s + 22. Let z(m) = 419*m**2 - 219*m**2 - 198*m**2. Give i(z(t)). -72*t**4 + 6*t**2 + 22 Let w(h) = -1815*h. Let b(s) = 2241*s**2. Determine w(b(y)). -4067415*y**2 Let n(q) = -6*q - 124. Let x(a) = -7*a - 155. Let i(d) = 5*n(d) - 4*x(d). Let p(y) = -2722*y**2. Determine p(i(b)). -10888*b**2 Let i(h) = 37*h**2. Let t(j) = -299895*j. What is i(t(g))? 3327669407925*g**2 Let m(b) = 2*b**2. Let x(u) = -149*u**2 + 25656. What is x(m(s))? -596*s**4 + 25656 Let u(r) be the first derivative of 0*r - 5/2*r**2 - 4. Let v(y) = 1677969 - 1677969 - 3*y**2. What is u(v(l))? 15*l**2 Let w(z) = -308*z**2. Let v(m) = -m + 3. Let r be v(1). Let i(n) = 3*n**2 - 6*n**2 + 2*n**r + 5*n**2 - 3*n**2. Give w(i(h)). -308*h**4 Let y(m) = 20*m - 7. Let u(h) = 10*h - 3. Let o(v) = -5*u(v) + 2*y(v). Let b(a) be the second derivative of -a**4/6 - 87*a - 3. Determine b(o(s)). -200*s**2 + 40*s - 2 Let o(m) = -m - 1. Let p(t) = 10*t + 8. Let x be 20/(-8)*10 + 1. Let z(i) = x*o(i) - 3*p(i). Let c(q) = -17*q**2 - 20*q**2 + 36*q**2. What is z(c(n))? 6*n**2 Let d(i) = 3*i**2. Let l(w) be the second derivative of 5*w**4/24 + 9*w**2 - 148*w. Let a(z) be the first derivative of l(z). Determine a(d(c)). 15*c**2 Let b(h) be the first derivative of 2*h**3/3 + 5*h**2/2 - 1024. Let i(u) = 33*u. Give b(i(v)). 2178*v**2 + 165*v Let k(a) = -9*a. Let w(z) = 17*z**2 + 5*z - 10. Let m(h) = 46*h**2 + 14*h - 28. Let c(t) = -5*m(t) + 14*w(t). Give k(c(x)). -72*x**2 Let k(w) = -194654*w. Let c(z) = -64*z**2 + 4. What is c(k(o))? -2424971501824*o**2 + 4 Let h(q) = -q**2. Let k(o) be the second derivative of -965*o**4/12 + 3417*o. Determine h(k(a)). -931225*a**4 Let z(q) = 41*q. Suppose 0 = -0*d - 2*d - 16. Let j be (4/(-4))/((d/(-6))/(-4)). Let s(r) = 55 - j*r - 55 + r. What is z(s(h))? -82*h Let h(t) = 283076*t**2 - 1 - 283096*t**2 + 1. Let x(r) = 3*r + 17. What is h(x(k))? -180*k**2 - 2040*k - 5780 Let s(i) be the first derivative of -5*i**3 + 24. Let n(v) = -37*v. Let j(l) = -476*l. Let r(u) = 4*j(u) - 51*n(u). Determine r(s(q)). 255*q**2 Let i(l) = 6051*l - 1024. Let s(n) = -11*n. Give s(i(g)). -66561*g + 11264 Let y(g) = g**2 + 43. Let r(z) = -180*z**2 - 172. Let d(u) = -r(u) - 4*y(u). Let k(h) = 3*h. Determine k(d(p)). 528*p**2 Suppose -9*r + 5*r = -48. Let w(n) = 31 - 9 - 10 - r + 2*n. Let o(k) = -4*k**2. Calculate w(o(l)). -8*l**2 Let x(d) = -3*d**2 + 5214*d. Let j(f) = 35*f. Calculate j(x(m)). -105*m**2 + 182490*m Let z(f) = -852*f**2. Let l(c) = -12*c**2 + 128445*c - 128445*c. What is z(l(n))? -122688*n**4 Let c(r) = -23*r**2 - 17*r - 1. Let o(b) = -470*b**2. Calculate c(o(i)). -5080700*i**4 + 7990*i**2 - 1 Suppose 30 = p - 4*q, 5*p - 177 = -3*q + 19. Let u(b) = -24*b - 15*b + p*b. Let s(t) = -5*t + 7. What is s(u(x))? 5*x + 7 Let t(k) be the first derivative of 5*k**2/2 + 1217. Let q(c) = -534 + 534 - 85*c. Give q(t(v)). -425*v Let k(r) = 13*r**2. Let z(u) = 236 - 18*u + 9*u + 0*u + 7*u + 171. Calculate z(k(c)). -26*c**2 + 407 Let w = -5 - -5. Suppose 3*t + 2*t - 3*r - 58 = w, 0 = 4*t - 4*r - 40. Let o(s) = 2 - t*s**2 - 2 + 12*s**2. Let h(f) = 42*f. What is h(o(m))? -84*m**2 Let c(w) be the first derivative of 2*w**3/3 + 212. Let h(q) be the first derivative of q**2 + 4*q - 8. What is h(c(r))? 4*r**2 + 4 Suppose -2*m + c + 13 - 3 = 0, -m - 2*c = 0. Let f(k) = 8*k**2 - k**2 - m*k**2. Let x(o) be the second derivative of -o**4/12 + o. Give x(f(g)). -9*g**4 Let t(v) = 1059809*v. Let b(y) = 13*y**2. Give b(t(n)). 14601536514253*n**2 Let a(f) = 17*f**2 + 3*f. Let h(m) = 3*m + 30. Let j(t) = -2*t**2 + 4*t + 40. Let o(p) = 4*h(p) - 3*j(p). Determine a(o(b)). 612*b**4 + 18*b**2 Let y(x) = 2. Let p be (-12)/((-2)/(-1)) - -4. Let t(j) = -12*j + 44. Let u(k) = p*t(k) + 44*y(k). Let i(w) = -w**2. Calculate i(u(c)). -576*c**2 Let j(l) = -l**3 - 4*l**2 + l + 3. Let d be j(-4). Let n be (4/(-10) - d) + (-126)/210. Let p(b) = n*b - 9*b + 10*b. Let y(g) = -32*g**2. Calculate p(y(a)). -32*a**2 Let n(t) = 5*t - 45940. Let z(i) = -14*i. Calculate n(z(r)). -70*r - 45940 Let s(a) = 17*a**2 + 15*a**2 - 49*a**2 + 15*a**2. Let r(x) be the third derivative of x**5/5 + x**3/3 - 33*x**2. What is s(r(t))? -288*t**4 - 96*t**2 - 8 Let v(d) = -109140*d. Let a(n) = -106*n**2. Give v(a(c)). 11568840*c**2 Let u(s) = -135*s. Let p(m) = 17*m. Let h(x) = 33*p(x) + 4*u(x). Let y(z) = 9 + 0*z - 4368*z**2 + 0*z + 4366*z**2 - 9. What is h(y(t))? -42*t**2 Let j(g) = -315*g + 525. Let l(w) be the third derivative of -w**4/24 + w**3/6 - 190*w**2. Let n(d) = j(d) - 525*l(d). Let u(t) = t. Determine n(u(s)). 210*s Let v(j) be the first derivative of -2*j**2 - 1. Let o(u) be the
{ "pile_set_name": "DM Mathematics" }
Calculate b. -2, 1 Let z = 166 + -1824/11. Factor -12/11*v**2 + 8/11*v**3 - 2/11*v**4 - z + 8/11*v. -2*(v - 1)**4/11 Let j = -4 + 6. Suppose 5*a - 19 = 11. Factor 6 - a + j*k**4 + 2*k**3. 2*k**3*(k + 1) Let a(v) be the second derivative of v**4/20 - 20*v. Factor a(h). 3*h**2/5 Let m(z) be the third derivative of 1/75*z**5 - 1/15*z**4 - 8/15*z**3 + 0 - 5*z**2 + 0*z + 1/300*z**6. What is k in m(k) = 0? -2, 2 Suppose -2*d + 6 = 2. Suppose x - d*x + 4 = 0. Determine o so that 0*o + 0 + 14/11*o**x + 0*o**2 - 4/11*o**3 = 0. 0, 2/7 Let d(i) = -i**3 + 4*i**2 - 4*i + 4. Let w(f) = f**2 - f + 1. Let y = -2 - -3. Let o(a) = y*d(a) - 4*w(a). Find r such that o(r) = 0. 0 Let g(j) be the second derivative of j**6/360 + j**5/40 + j**3/3 + 5*j. Let x(v) be the second derivative of g(v). Suppose x(s) = 0. Calculate s. -3, 0 Let k(d) = -6*d**3 + 41*d**2 + 6*d + 7. Let c be k(7). Solve 1/3*a**2 - a + c = 0. 0, 3 Let o(a) be the third derivative of 0*a + 0*a**3 + 0 - 1/30*a**6 + 2*a**2 - 1/30*a**5 + 1/6*a**4 + 1/105*a**7. Suppose o(i) = 0. What is i? -1, 0, 1, 2 Factor 10/7*w**2 - 18/7 + 6/7*w + 2/7*w**3. 2*(w - 1)*(w + 3)**2/7 Let w(p) = 2*p - 4. Let s be w(4). Let t = 8 - s. Factor 0 + 0*k - 2/5*k**t - 4/5*k**3 - 2/5*k**2. -2*k**2*(k + 1)**2/5 Let h(d) = d**2 + 3*d - 2. Let n(r) = -4*r**2 - 9*r + 6. Let s(g) = -7*h(g) - 2*n(g). Factor s(u). (u - 2)*(u - 1) Let n(t) be the third derivative of -t**7/1260 + t**6/180 - t**5/60 + t**4/24 - 4*t**2. Let a(i) be the second derivative of n(i). Factor a(w). -2*(w - 1)**2 Suppose 18*j - 44 - 28 = 0. Factor -3/4*f**j + 0*f - 5/4*f**5 + 0 + 1/2*f**3 + 0*f**2. -f**3*(f + 1)*(5*f - 2)/4 Let u(q) be the first derivative of q**4/24 - q**3/12 - q**2/2 - 3*q - 1. Let o(n) be the first derivative of u(n). Find w such that o(w) = 0. -1, 2 Let v(d) = d**3 - d - 1. Let c(r) = -9*r**3 + 4*r**2 + 15*r - 9. Let n(u) = 2*c(u) + 14*v(u). Find j such that n(j) = 0. -2, 2 Let u(m) be the second derivative of 7*m**6/540 + m**5/54 - m**4/54 + 3*m**2/2 - 7*m. Let h(k) be the first derivative of u(k). Solve h(t) = 0. -1, 0, 2/7 Let r(s) be the third derivative of 1/20*s**5 - 5*s**2 + 0 - 1/2*s**3 + 0*s**4 + 0*s. What is k in r(k) = 0? -1, 1 Let 10*x**2 + 0*x**2 - 5*x**2 + 15*x = 0. What is x? -3, 0 Factor 7/5*n**3 - 7/5*n - 2/5*n**2 + 2/5. (n - 1)*(n + 1)*(7*n - 2)/5 Let p(g) = -5*g**2 - 7*g + 5. Let q(s) = -2*s**2 - 3*s + 2. Let w = -7 - -1. Let h(n) = w*p(n) + 14*q(n). Factor h(b). 2*(b - 1)*(b + 1) Let g(b) be the third derivative of b**6/720 - b**5/120 + b**4/48 - b**3/2 - 2*b**2. Let q(u) be the first derivative of g(u). Factor q(w). (w - 1)**2/2 Let x(q) be the first derivative of -7*q**6/120 + 4*q**5/15 - q**4/6 - q**2/2 - 1. Let f(c) be the second derivative of x(c). Let f(r) = 0. What is r? 0, 2/7, 2 Let b(q) = q**2 - 11*q + 3. Let i(s) = s**2. Let l(r) = -2*b(r) + 10*i(r). Solve l(z) = 0. -3, 1/4 Let w(r) be the third derivative of r**8/20160 - r**7/5040 - r**6/360 - r**5/20 + 4*r**2. Let u(v) be the third derivative of w(v). What is f in u(f) = 0? -1, 2 Let n(o) = -2*o**2 + 16*o + 32. Let a(j) = j**2 - 5*j - 11. Let g be (-44)/6 - 4/6. Let t(b) = g*a(b) - 3*n(b). Factor t(y). -2*(y + 2)**2 Let b(u) = -2*u**2 - 3*u. Let f(g) = 3*g**2 + 4*g. Let d(r) = 4*b(r) + 3*f(r). Solve d(n) = 0. 0 Let r be (4 - 2) + (4 + 0 - 2). Factor -z**3 + z - 1/2*z**2 + 1/2*z**r + 0. z*(z - 2)*(z - 1)*(z + 1)/2 Let h = -245/176 + 16/11. Let p(d) be the first derivative of 0*d - h*d**4 + 1/8*d**2 - 1 - 1/12*d**3 + 1/20*d**5. Factor p(a). a*(a - 1)**2*(a + 1)/4 Let y be 6/42 - 125/(-105). Factor -2/3 - 2/3*k**2 + y*k. -2*(k - 1)**2/3 Let i(b) be the second derivative of -1/9*b**3 - 1/3*b**2 + 1/30*b**5 + 0 + 3*b + 1/18*b**4. Factor i(t). 2*(t - 1)*(t + 1)**2/3 Suppose 20 = -k + 6*k. Let r(g) be the third derivative of 0*g**3 + 0*g + 0 - 3*g**2 + 0*g**k + 0*g**5 + 0*g**6 + 1/105*g**7. Find m such that r(m) = 0. 0 Factor 4/3*m**4 + 4/3*m**2 + 2*m**3 + 0 + 1/3*m + 1/3*m**5. m*(m + 1)**4/3 Suppose 5*g - 10 = -5*l, -3*l - 4*g + 1 = -3. Let y(q) be the second derivative of -1/12*q**l + 0*q**2 + 0 - 1/6*q**3 + 2*q. Find r such that y(r) = 0. -1, 0 Let g(y) = -y + 2. Let w be g(-3). Suppose w*q = 13 + 12. Factor 0 + 0*r**3 + 0*r**2 - 1/4*r**4 + 0*r + 1/4*r**q. r**4*(r - 1)/4 Let f(g) be the third derivative of 0*g + 0 + 1/12*g**4 + 1/60*g**5 - 2*g**2 + 0*g**3. Let f(b) = 0. What is b? -2, 0 Let h = -33/61 + 5267/10187. Let p = h - -378/1837. What is t in -p*t**5 - 8/11 - 32/11*t - 14/11*t**4 - 38/11*t**3 - 50/11*t**2 = 0? -2, -1 Let j be 0 + (8 - 3 - 3). Let 0 + 2/9*f**j - 2/9*f + 2/9*f**3 - 2/9*f**4 = 0. What is f? -1, 0, 1 Let g(w) be the third derivative of 27*w**8/28 + 6*w**7/7 - 97*w**6/15 + 76*w**5/15 - 4*w**4/3 + 20*w**2. Find o, given that g(o) = 0. -2, 0, 2/9, 1 Let c(r) be the first derivative of -r**8/3360 - 4*r**3/3 - 3. Let t(g) be the third derivative of c(g). Factor t(f). -f**4/2 Let w = 5/8 + -3/56. Suppose 0 - w*b + 2/7*b**2 = 0. What is b? 0, 2 Let 1/4*n**2 + 5/2*n + 9/4 = 0. Calculate n. -9, -1 Let k = 17 + -12. Suppose 0 = -q - 2*s - 4, -k*q + 7 - 3 = -2*s. Factor 0 + q*o - 1/2*o**2. -o**2/2 Let g(x) = 4*x**5 + 5*x**4 + 4*x**3 + 7*x**2 + 2*x - 7. Let n(c) = c**5 + c**4 + c**2 + c - 1. Let m(q) = -4*g(q) + 20*n(q). Let m(o) = 0. What is o? -1, 1, 2 Let o(h) = 2*h**4 + 5*h**3 - 3*h**2 - 5*h + 4. Let b(f) = f**3 - f**2 - 3*f**4 - 2*f**4 + 6*f**4 - f + 1. Let q(g) = -3*b(g) + o(g). Let q(d) = 0. Calculate d. -1, 1 Let c(w) be the second derivative of -w**5/30 + w**4/5 - 4*w**3/15 + 5*w**2/2 + 3*w. Let g(u) be the first derivative of c(u). Suppose g(d) = 0. Calculate d. 2/5, 2 Let r(m) be the second derivative of m**6/30 - m**5/10 - m**4/4 + 4*m**3/3 - 2*m**2 + 19*m. Factor r(j). (j - 2)*(j - 1)**2*(j + 2) Let n(f) be the first derivative of f**2 - 6 + 0*f**3 - 3/8*f**4 + 0*f + 1/10*f**5. Suppose n(q) = 0. What is q? -1, 0, 2 Let n(r) be the second derivative of -r**5/15 - 5*r**4/9 - 14*r**3/9 - 2*r**2 - 4*r - 1. Factor n(o). -4*(o + 1)**2*(o + 3)/3 Let d(s) be the first derivative of s**6/8 - 3*s**5/2 + 15*s**4/2 - 20*s**3 + 30*s**2 - 24*s - 1. Factor d(n). 3*(n - 2)**5/4 Let s(t) be the second derivative of -t**4/6 - 2*t**3/3 - t**2 + 8*t. Factor s(h). -2*(h + 1)**2 Let s(a) be the second derivative of 1/9*a**4 + 1/30*a**5 + 0*a**2 + 0 - a + 0*a**3. Find x such that s(x) = 0. -2, 0 Let y(w) be the third derivative of w**7/10080 - w**6/1440 + w**5/480 + w**4/8 + 2*w**2. Let a(f) be the second derivative of y(f). Factor a(x). (x - 1)**2/4 Let r(v) = 6*v**3 - v**2 + 3*v. Let p(c) = 7*c**3 + 2*c. Let h(s) = -3*p(s) + 2*r(s). Determine l, given that h(l) = 0. -2/9, 0 Let a(p) be the second derivative of -p**4/48 + 5*p**3/24 + 16*p. Factor a(n). -n*(n - 5)/4 Let s be ((-3)/40)/((-81)/12). Let n(v) be the second derivative of v + 1/6*v**2 - 1/18*v**4 + 0*v**5 + s*v**6 + 0*v**3 + 0. Suppose n(m) = 0. What is m? -1, 1 Let s(u) be the third derivative of 1/120*u**5 + 1/720*u**6 + 1/36*u**3 + 0 - 3*u**2 + 0*u + 1/48*u**4. Solve s(q) = 0 for q. -1 Let w be 3/(-21) + (-44)/(-14). Find j, given that -j**2 + 6*j**2 - 2*j**2 + 6*j - w*j = 0. -1, 0 Let o(n) = -10*n**2 - 12*n - 2. Let r(i) = 7*i**2 + 8*i + 1. Let q(s) = 5*o(s) + 8*r(s). Factor q(z). 2*(z + 1)*(3*z - 1) Let x be 5/4*(-260)/(-5). Suppose 2*j = x - 5. Suppose -1 + 12*k**4 + 1 + 16*k - j*k**3 + 7*k**2 - 4 - k**3 = 0. What is k? -2/3, 1/4, 1, 2 Let d(v) be the second derivative of 1/6*v**4 + 2/7*v**2 + 3/7*v**3 + 2*v + 0. Suppose d(r) = 0. What is r? -1, -2/7 Suppose 0 = -0*s - 5*s + 20. Let v(x) be the first derivative of 0*x**2 + 1/4*x**s - 2 - 1/5*x**5 + 0*x + 0*x**3. Solve v(k) = 0. 0, 1 Let l be 40/18 + -2 - (-48)/27. Let n(p) be the first derivative of 1 + 0*p - 1/7*p**l - 1/14*p**4 - 4/21*p**3. Solve n(j) = 0. -1, 0 Let t(w) be the first derivative of 7 + 0*w + 0*w**2 - 2/11*w**5 - 4/33*w**3 - 7/22*w**4. Factor t(c). -2*c**2*(c + 1)*(5*c + 2)/11 Let x(j) be the second derivative of -j**7/42 + j**6/15 + j**5/20 - j**4/6 + 4*j. Suppose x(b) = 0. Calculate b. -1, 0, 1, 2 Let u(x) be the second derivative of x**9/6048 - x**8/1680 - x**7/1680 + x**6/360 - x**3/6 + x. Let l(n) be the second derivative of u(n). Factor l(v). v**2*(v - 2)*(v - 1)*(v + 1)/2 Let k(o) be the second derivative of -6*o - 1/10
{ "pile_set_name": "DM Mathematics" }
+ 3*t)*(34*t**2 - 4 + 4) - 438*t - t**2 - 15*t**3 + 438*t. 53*t**3 - t**2 Expand (20*h**2 - 175*h + 175*h)*(-7 + 31 - 73). -980*h**2 Expand (z**2 + 3*z**2 - 2*z**2)*(4307 + 607 + 455). 10738*z**2 Expand -77*p + 0*p**4 - 38*p + 6*p + 2*p**4 + (-2 + 2 + p**3)*(-5*p - 17*p + 4*p). -16*p**4 - 109*p Expand (-12*w - 10*w + 6*w - 16*w)*(233 + 149*w**3 - 233). -4768*w**4 Expand -3 + 7 - 4*u**5 - 2 + (-5*u**5 + 5*u**5 - 13*u**5)*(-2 + 3 + 1) + 23*u**4 + 74*u**5 - 23*u**4. 44*u**5 + 2 Expand (33*q**2 + 14*q**2 - 12*q**2)*(-109*q + 234*q - 162*q) + q**3 - 2*q**3 + 3*q**3 - q**3 - 3*q**3 + 2*q**3. -1295*q**3 Expand -2*w - w - 2*w - 610 + 610 + 160*w + 0*w + w + 0*w + (-3*w + 6*w - 2*w)*(0 + 0 + 2). 158*w Expand 2*d**2 - 145 + 145 + (-368*d**2 - 23*d**2 - 135*d**2)*(1 - 3 - 1 + 2). 528*d**2 Expand (10 + d**2 - 7 - 5 + 3*d)*((-5*d + 2*d + d)*(0*d - d + 2*d) - 3*d**2 + 2*d**2 - 2*d**2). -5*d**4 - 15*d**3 + 10*d**2 Expand (-23149*z - 2 + 23149*z - 1471*z**2)*(3*z**2 + z**2 - 2*z**2). -2942*z**4 - 4*z**2 Expand (-5 - 2 + 5)*(3*u + 3*u - 5*u)*(-219 + 118 + 99 - 1143*u)*(4*u**3 + 4*u**3 - 7*u**3). 2286*u**5 + 4*u**4 Expand (3 + 0 - 2)*(-400 + 784 - 384 + 7067*u)*(1 - 1 + 1). 7067*u Expand (428*z - 109*z - 547 + 547)*(-37 + 37 + 19*z). 6061*z**2 Expand 6 - 2*q - 3 - 2 + (1 - 2*q - 1)*(3 - 2 + 1) + q - 3*q - 2*q + 4*q - 6*q + 4*q. -8*q + 1 Expand (-50 + 705 + 400)*(4*a**5 - 4*a**5 + 2*a**5 + (-1 - 4*a**3 + 1)*(4*a**2 - 3*a**2 - 2*a**2)). 6330*a**5 Expand (-6 + 6 + l**2)*(3*l - 3*l - 6*l)*(1 - 6 - 8). 78*l**3 Expand 6*y**5 + 3*y - 8*y**5 + 3*y**5 + (28*y - 28*y + 17*y**2)*(y**3 + 0*y**3 + y**3). 35*y**5 + 3*y Expand -1450*y**3 + 2090*y**3 + 2503*y**3 + (-2 + 1 + 2)*(-2*y**3 - y**3 + 2*y**3) + 2*y**3 - y**3 + y**3. 3144*y**3 Expand 65*u**5 - 52*u**5 + 55*u**5 + 2*u**5 - 4*u**5 + u**5 + (-3*u**3 - 3*u**3 + 7*u**3)*(578*u - 10*u**2 - 578*u). 57*u**5 Expand (-2*x + 3*x + 3*x)*(133 - 133 + 3*x)*(-1 + 1 - 1)*(2 - 6 + 2)*(3 - 3 - x + (-x + x + 3*x)*(1 + 2 - 5))*(4*x + x - 2*x). -504*x**4 Expand -2*z**4 + 456*z**5 + 4*z**2 - 452*z**5 - 1 - 3*z**2 + (-8*z - 5*z + 4*z)*(2*z**4 + 2*z**4 - 2*z**4). -14*z**5 - 2*z**4 + z**2 - 1 Expand 9*s**2 - 9*s**2 + 2*s**3 + (2*s**2 - s**2 - 3*s**2)*(2*s - 5*s + s) + 3*s - 3*s - 3*s**3 - 513*s**2 + 21*s**3 + 511*s**2 + 25*s**3. 49*s**3 - 2*s**2 Expand -8*i**3 - 23*i**3 + 8*i**3 + (3*i**2 + 16*i**2 - 49*i**2)*(0*i + i - 3*i). 37*i**3 Expand (3*a**4 - 2 + 2)*(78385*a + 12 - 78399*a + 1). -42*a**5 + 39*a**4 Expand (-4*h + 2*h + 5*h)*(2 - 3*h**2 - 2) + 177*h**3 + 332*h**3 - 123*h**3. 377*h**3 Expand (5*v**3 - 13*v**3 + 7*v**3 + (3 - 3 + 2*v)*(3*v**2 - 5*v**2 + v**2))*(152 + 648 - 72). -2184*v**3 Expand (2*j - 7*j + j)*(-16*j + 31*j - 20 - 16*j). 4*j**2 + 80*j Expand (0*x - x + 0*x)*(-2 + 4*x + 2)*(2*x**2 + 2*x**2 - 2*x**2) + (160 + 19 + 30)*(2*x**4 + x**4 - x**4). 410*x**4 Expand (80*q**2 + 2309*q**2 - 15*q**2)*(0*q**2 + q**2 + q**3 + 2*q**3). 7122*q**5 + 2374*q**4 Expand (2 - 1 - 2 + 0 + 1 - 2 + (3 - 1 - 3)*(3 + 0 - 2) + 3 + 3 - 4 + 2 + 1 - 2 - 1 + 1 + 2)*(1104*o - 554*o - 549*o + 226). 2*o + 452 Expand ((j - 110 + 110)*(-5 + 3 + 3) + 2*j + j - 2*j + 3*j - 7*j + 3*j + (0 + 2 + 0)*(-3*j - 4*j + 5*j) + 5*j - 5*j + j)*(13 - 19 + 29). -46*j Expand 1164 + 58*z - 1164 - 3*z - z + 7*z + (1 + 3 - 3)*(5*z - 3*z + 0*z) - 2*z + 3*z + z + z - 2 + 2 + 4*z - 2*z - z. 67*z Expand i - i - 3*i**4 + (-i**4 - i**4 + 0*i**4)*(1 + 1 - 1) + 66*i**4 - 49*i**4 + 71*i**4 + (3*i - i - 3*i)*(2*i**3 - i**3 + 2*i**3) + 0*i**3 + 0*i**3 + i**4. 81*i**4 Expand (-q + 3*q - 3*q)*(3 - 4 + 2)*(344 - 159 - 52). -133*q Expand (-9*b + 3*b - 18 + 11)*(b - b + 14*b**2). -84*b**3 - 98*b**2 Expand (147700 - 500*n - 147700 + (-n + n - 2*n)*(4 - 3 + 0))*(0*n**2 - 2*n**2 + 0*n**2). 1004*n**3 Expand (-1384*v + 8151*v + 4010*v + 5433*v - 1233*v + 5772*v)*(-5*v**2 - v + v). -103745*v**3 Expand (1 - 2*m**4 - 1)*(4*m + 0*m - 2*m) + 4*m - 2447*m**4 + 986*m**5 + 1341*m**4 + 1104*m**4. 982*m**5 - 2*m**4 + 4*m Expand 149*d**5 - 4993*d**4 + 4993*d**4 + (-27*d**2 - 20*d**4 + 27*d**2)*(3*d - 3*d + d). 129*d**5 Expand -3*i**4 + 4*i**4 - 4*i**4 + (-2*i + i + 3*i)*(2*i**3 + 3 - 3) - i**4 + 0*i**4 - 2*i**4 - 36*i + 36*i**2 - i**4 + 37*i - 4*i**2. -3*i**4 + 32*i**2 + i Expand (338 - 338 - 474*r)*(-7*r**2 + 7*r**2 - 7*r**2). 3318*r**3 Expand 29*u**3 - 576*u + 576*u + (-3 + 5 - 4)*(u**3 - 2*u**3 + 2*u**3). 27*u**3 Expand -48 + 48 - 2*t + t + 3*t - 2*t + (2 - t - 2)*(-1 + 0 - 1) + 8963 - 152*t - 8963. -150*t Expand (-14 + 46*y**2 - 4*y - 51*y**2 + 19)*(-3*y + 4*y + 3 - 5). -5*y**3 + 6*y**2 + 13*y - 10 Expand (621 - 621 - 3*n)*(-53*n - 56*n - 1 + 109*n + 94*n**2). -282*n**3 + 3*n Expand (8 - 4 + 9)*(1 - 1 - 2)*(2 - 2 - 2)*(-3*l**5 + l**5 + 126*l**4 - 458*l**4). -104*l**5 - 17264*l**4 Expand 2*k - 3*k - 4*k + 4 - 4 + 2*k + (-2 + 2 + 1)*(4*k + 3*k - 6*k) + 46244 - 920*k - 46244. -922*k Expand ((-1 - 2*c + 1)*(7 - 77 - 6) - 49 + 49 + 15*c)*(-6*c**2 + 3*c**2 - 2*c**2). -835*c**3 Expand (157*j - 158*j - 38 + 2)*(-22 + 26 - 88). 84*j + 3024 Expand ((5*a - 2*a - 2*a)*(-5*a - 9*a**2 + 5*a) - 6 + 3 - a + 4 + a**3 + (7*a - 6*a**2 - 7*a)*(0 + 0 - 2*a))*(2 + a - 2). 4*a**4 - a**2 + a Expand (-x**3 - 27*x**3 - 6*x**3)*(-3 - 1 + 6) + ((2 - 6 + 3)*(4 + 2 - 4) - 2 - 2 + 3)*(-x**3 + 2*x**3 + x**3). -74*x**3 Expand (-2 + 2*l + 2)*(3*l**3 + l**3 - 3*l**3 + 0*l**3 - 2*l**3 + 3*l**3 + (l**2 + 0*l**2 - 3*l**2)*(-2*l + 0*l + l) + l**3 + 4 - 4 - 51*l**3 + 36*l - 36*l). -92*l**4 Expand (4 - 2 + 0)*(-7*n + 2*n - 4*n)*(-263*n - 2*n**2 - 2 + 162*n + 257*n). 36*n**3 - 2808*n**2 + 36*n Expand 126*k**3 - 12*k**2 - 126*k**3 + 2*k**5 + 0*k**4 + 0*k**4 + 3*k**5 + 0*k**5 - 2*k**5 + k**5 + (1 - 4 + 0)*(-10 + 10 - 4*k**5). 16*k**5 - 12*k**2 Expand 101*s**4 + 59*s**4 - 44*s**4 + (13*s**2 - 19*s + 34*s - 16*s)*(0*s**2 + s**2 + 0*s**2) + (s**2 + 2*s**2 - 5*s**2)*(-5*s**2 + 2*s**2 + 2*s**2). 131*s**4 - s**3 Expand (2 + 3 - 3)*(y + 0 + 0)*(2 - 27 + 0 + (2 - 7 + 3)*(5 - 2 - 1)). -58*y Expand 1 - 1 + b**2 + (5*b - 2*b - 2*b)*(3 - 2*b - 3) + 3*b - 3*b - 2*b**2 - 2*b**2 - 14880*b + 14883*b + 13*b**2 - 8. 8*b**2 + 3*b - 8 Expand (-f**4 + 3*f**4 + 0*f**4)*(-3*f - 7*f - f) + (0*f + 2*f + f)*(0*f**4 + 3*f**4 - 5*f**4). -28*f**5 Expand (3*v**3 - v**3 - v**3)*(-235 + 235 - 152*v**2) + (-v**2 - 2*v**2 + 4*v**2)*(-5*v**3 + 3*v**3 + 0*v**3). -154*v**5 Expand (0*n + 5*n - 2*n)*(4*n**2 - 6*n**2 - 2*n**2) + 10*n - 26*n**3 - 7*n + 6*n**3. -32*n**3 + 3*n Expand -24 - 19 - 2*c + 46 + (-4 + 1 - 1)*(-172*c - 11698 + 11698). 686*c + 3 Expand (68 - 6 + 2)*(2 + 3 - 3)*(-1 - 3 + 3)*(b - 4*b + 4*b). -128*b Expand (1623 - 370 + 826)*(2*b - 3 + 3)*(5 + 2 - 3)*(-2 + 2 + 1). 16632*b Expand -u**2 - 2*u**2 + 2*u**2 + 6*u**2 + 0 + 0 + (9*u + 9*u - 15*u)*(-u + 2*u + u) + 0*u**2 + 3*u**2 - u**2. 13*u**2 Expand -z**3 + 2*z**5 + z**3 + 2*z**5 - z**5 - 3*z**5 + (0 - 2*z**2 + 0)*(-6*z**3 + z**3 + 3*z**3) - 387*z**5 - 9358 + 9358 - 2*z. -383*z**5 - 2*z Expand (42*b + 242*b - 17*b)*(35 - 35 + 44*b**2). 11748*b**3 Expand -3*g - 7*g + 12*g + 6*g**2 + (g + g + 2*g)*(g - 4*g + g). -2*g**2 + 2*g Expand (3 - 1 - 1)*(-34*x - 18*x + 25*x + x - x + x + (2 + 0 - 3)*(0*x + x - 2*x) + 0*x - 2*x + 3*x - 5*x + 3*x - 5*x). -31*x Expand ((1 - 3 + 1)*(-7 - 1 - 6) + (-3 + 5 - 3)*(1 - 3 + 1))*(4*c - 3*c + 2*c + (c - 3 + 3)*(4 - 1 - 1))*(-1 + 6 - 4). 75*c Expand (2*m**2 + 5*m**2 - 2*m**2)*((0 + 3 + 5)*(-1 + 3 - 3) + 1 - 1 + 1 - 13 + 164 - 513). -1845*m**2 Expand (0*x - 3*x + 4*x + (-12 - 12 + 10)*(-2*x + 2 - 2) + x + 2*x - x)*(-4*x**4 + x**4 + 2*x**4 - 2*x) + 6 - 34*x**3 - x**5 + 34*x**3. -32*x**5 - 62*x**2 + 6 Expand (4 + 15 + 1)*(r + 0*r + r)*(-2 - 1 + 0 + 1 - 1 + 2 + (-4 + 3 + 3)*(-1 + 0 + 3) - 4 + 4 + 2 - 4 - 4 - 3 - 2 + 3 + 1). -160*r Expand (1 - 1 + 2*v)*(0*v + 2*v + 6*v)*(-143*v**2 - 105*v**2 - 59*v**2). -4912*v**4 Expand (3*m + 535 - 365 - 300)*(12 + 4 + 7). 69*m - 2990 Expand (0*n + 0*n - 2*n**2)*(4 - 3 - 2) + 5*n**2 - 4*n**2 + 0*n**2 + (-1 + 1 + n)*(3 - 3*n - 3) + 5*n**2 + 9*n**2 + 31*n**2. 45*n**2 Expand (10*d - 27 + 27)*(-52*d**2 + 96*d**2 - 51*d**2). -70*d**3 Expand (-9*h**3 - 11*h**3 + 6*h**3 - 2*h**3 - h**3 + 2*h**3 - h + h + h**3 + (-2*h**2 + 1 - 1)*(0*h + h - 3*h))*(-3*h**2 + 1021*h - 1021*h). 30*h**5 Expand (4*c - 4*c - 3*c)*(3 - 1 - 1)*(-5*c + 3*c + 5*c - 18 + 18 - 5*c + 6 - 6 + 10*c + (
{ "pile_set_name": "DM Mathematics" }
q**2 - 20/9*q**3 - 2/9*q**4 = 0. What is q? -7, -1 Let w(i) = -i**2 - 8*i - 12. Let a be w(-6). Let n(r) be the first derivative of 4 + 1/3*r**3 + a*r**2 + 0*r. Factor n(x). x**2 Let h(k) be the first derivative of -1 + 0*k**2 + 1/120*k**6 + 1/12*k**3 - 1/40*k**5 - 2*k - 1/48*k**4. Let q(n) be the first derivative of h(n). Factor q(o). o*(o - 2)*(o - 1)*(o + 1)/4 Let z(x) be the second derivative of -x**4/48 - x**3/4 - 5*x**2/8 + 19*x. Factor z(d). -(d + 1)*(d + 5)/4 Let a be 14/6 - ((-4)/6 - -1). Factor 0*i + 2/5*i**4 + 1/5*i**3 + 1/5*i**5 + 0*i**a + 0. i**3*(i + 1)**2/5 Let f be (1 - 5) + (-1 - -8). Let h = 119/69 + -9/23. Factor 0*i + h*i**2 + 10/3*i**f + 0. 2*i**2*(5*i + 2)/3 Let h(u) be the third derivative of -u**7/70 + u**6/10 - 2*u**4 + 8*u**3 + 15*u**2. Factor h(r). -3*(r - 2)**3*(r + 2) Suppose 4*i = 8*i - 8. What is m in 0*m - 21/5*m**3 + 0 + 24/5*m**4 + 3/5*m**i + 48/5*m**5 = 0? -1, 0, 1/4 Let y(f) be the third derivative of f**8/100800 + f**7/12600 + f**6/3600 - 2*f**5/15 + f**2. Let n(j) be the third derivative of y(j). Factor n(g). (g + 1)**2/5 Let h be 4*(18/8)/(-9). Let n be -2*((-16)/14 - h). Factor -2/7*d**2 + 0 + n*d. -2*d*(d - 1)/7 Factor -2/15*g**4 - 16/15*g - 4/5*g**3 + 0 - 8/5*g**2. -2*g*(g + 2)**3/15 Factor 0 + 3/4*d**4 + 0*d**2 - 1/2*d**3 + 0*d - 1/4*d**5. -d**3*(d - 2)*(d - 1)/4 Let s(w) = -329*w**3 - 180*w**2 + 133*w - 11. Let a(x) = -164*x**3 - 90*x**2 + 66*x - 6. Let q(c) = 10*a(c) - 4*s(c). Solve q(v) = 0 for v. -1, 2/9 Let f(h) be the first derivative of 3/4*h**2 - 2/3*h**3 + 5 + 1/2*h. Factor f(s). -(s - 1)*(4*s + 1)/2 Let m(n) be the first derivative of -n**8/840 - n**7/210 + n**5/30 + n**4/12 - 2*n**3/3 + 1. Let z(d) be the third derivative of m(d). Factor z(y). -2*(y - 1)*(y + 1)**3 Let -4/11*s + 0 + 2/11*s**2 = 0. What is s? 0, 2 Suppose -28*r = -32*r. Factor r*p - 2/15*p**3 + 0 + 0*p**2. -2*p**3/15 Let y(z) be the second derivative of -z**6/225 + z**5/50 - z**4/30 + z**3/2 - 4*z. Let p(d) be the second derivative of y(d). Factor p(f). -4*(f - 1)*(2*f - 1)/5 Let q be 15/(-20) + 30/8. Factor -1 + 3*f**4 + 1 - 2*f**3 - 3*f**2 + 3*f - f**q. 3*f*(f - 1)**2*(f + 1) Find k such that 7/3*k + 1/3*k**4 + 2 - k**3 - k**2 = 0. -1, 2, 3 Let d be (0/(-2) + 2)/2. Factor -6*w + 1 + 0*w - d + 3*w**2. 3*w*(w - 2) Let n = -16/3 - -35/6. Let r be 4/14 + 19/7. Factor 9/2*l**r + 3*l**2 + n*l + 0. l*(3*l + 1)**2/2 Let y be 5/(-3) + 2/(-6). Let g be y/(-2 - -4) - -3. Factor -4/3*m + g*m**2 + 0. 2*m*(3*m - 2)/3 Suppose -2*t + 4*j - 14 = 0, -4*t + 6*j - 3*j - 3 = 0. Factor t*i**3 + 2 - 4*i + 4*i**3 + 3*i**4 - 5*i**4 - 3*i**3. -2*(i - 1)**3*(i + 1) Let n(p) be the first derivative of -p**5/5 - 5*p**4/4 - 3*p**3 - 7*p**2/2 - 2*p + 2. Factor n(y). -(y + 1)**3*(y + 2) Let g(l) = 7*l**2 - 5*l + 3. Let a(c) = 10 - 6*c + 1 - 7 + 8*c**2. Let z(j) = 5*a(j) - 6*g(j). Factor z(d). -2*(d - 1)*(d + 1) Let v = 29 + -25. Let p(m) be the third derivative of -3*m**2 + 1/150*m**5 + 1/600*m**6 + 0*m**3 + 0 + 0*m + 1/120*m**v. Suppose p(a) = 0. What is a? -1, 0 Factor 1/5*m**3 + 0 - 1/5*m**5 + 0*m**2 + 0*m**4 + 0*m. -m**3*(m - 1)*(m + 1)/5 Let l(q) be the first derivative of -1 + 0*q**3 + 1/7*q**4 + 2/35*q**5 - 2/7*q**2 - 2/7*q. What is w in l(w) = 0? -1, 1 Suppose -w + 4*w = 0. Let m be -2 + 13/((-195)/(-36)). Factor 2/5*n**3 - m*n + 0 + w*n**2. 2*n*(n - 1)*(n + 1)/5 Let f(i) be the second derivative of -i**4/30 - 11*i**3/15 + 12*i**2/5 + 14*i. Let f(t) = 0. Calculate t. -12, 1 Let o(g) be the third derivative of -g**7/315 - g**6/90 + g**4/18 + g**3/9 - 3*g**2. Factor o(r). -2*(r - 1)*(r + 1)**3/3 Let z be (-3 - (-66)/21)/(4/14). Factor -d + 1/2*d**2 + z. (d - 1)**2/2 Let o(c) = 7*c**3 - 3*c**2 - 6*c + 6. Let z(l) = -6*l**3 + 3*l**2 + 5*l - 5. Let h(w) = 5*o(w) + 6*z(w). Factor h(r). -r**2*(r - 3) Suppose 5*o**3 - 13*o**3 + 3*o**3 - 20*o**2 - 15*o = 0. Calculate o. -3, -1, 0 Determine b, given that 2/3*b**5 - 8/3 + 14/3*b**3 - 2/3*b**2 + 10/3*b**4 - 16/3*b = 0. -2, -1, 1 Let f(y) be the first derivative of -3 + 3/8*y**2 - 1/4*y**3 - 1/4*y + 1/16*y**4. Factor f(j). (j - 1)**3/4 Suppose -r = 4*f - 5*r - 20, 4*f - 20 = -4*r. Suppose f*n + 15 = 5*h, 2*n = -2*h - 0*n + 2. Determine d, given that -4*d**h + d + 3*d**2 + d**3 - d**2 = 0. 0, 1 Suppose 0 = -4*n + 4*i + 40, 0 = -n + 2*n - 5*i - 30. Let h = n - 1. Suppose 1/3*r - 2/3*r**3 + 0*r**2 + 1/3*r**5 + 0 + 0*r**h = 0. What is r? -1, 0, 1 Let k(c) be the first derivative of 2 + 0*c + 2/9*c**3 - 2/45*c**5 - 2/9*c**2 + 0*c**4. Factor k(l). -2*l*(l - 1)**2*(l + 2)/9 Let b be 12 + 3/(-3 + 2). Let k be (-365)/(-225) - 2/b. Suppose k*c**2 + 2/5 - 9/5*c = 0. Calculate c. 2/7, 1 Suppose -4*w - d + 10 = w, w + 2*d - 2 = 0. Factor -1 - 1 - 2*a + 3 + a**w. (a - 1)**2 Determine p, given that -4*p**3 - 19*p + 7*p**3 - 6 + 10*p = 0. -1, 2 Solve -19/10*b**3 - 1/10*b**5 - 8/5*b - 7/10*b**4 - 5/2*b**2 - 2/5 = 0. -2, -1 Let i(s) be the second derivative of -s**5/5 - s**2/2 - s. Let d be i(-1). Factor -4*p + d*p - 4*p**2 + 5*p**2 + 3*p. p*(p + 2) Let q(i) be the third derivative of i**5/12 - 5*i**3/6 - 9*i**2. Find r such that q(r) = 0. -1, 1 Suppose -y + 5 = -2*t, t = -4*t - 5. Let g(n) be the first derivative of -n**y - 1 + 0*n**2 + 0*n - 3/4*n**4. Factor g(d). -3*d**2*(d + 1) Suppose -12/5 - 18/5*g + 0*g**4 + 12/5*g**2 + 24/5*g**3 - 6/5*g**5 = 0. Calculate g. -1, 1, 2 Let s(l) be the third derivative of -l**8/672 + l**7/210 + l**6/120 - l**5/15 + 7*l**4/48 - l**3/6 - 16*l**2 + 2*l. Factor s(v). -(v - 1)**4*(v + 2)/2 Let x = 8 - 5. Factor 3/2*t**x - 1/2 - 1/4*t + 7/4*t**2. (t + 1)*(2*t - 1)*(3*t + 2)/4 Let f(u) = 7*u**5 + 161*u**4 + 378*u**3 + 162*u**2 - 313*u. Let n(g) = -3*g**5 - 81*g**4 - 189*g**3 - 81*g**2 + 156*g. Let l(m) = 6*f(m) + 11*n(m). Factor l(c). 3*c*(c + 3)**3*(3*c - 2) Let b(f) = -55*f**2 + 85*f - 70. Let q(g) = 8*g**2 - 12*g + 10. Let i(s) = -3*b(s) - 20*q(s). Factor i(k). 5*(k - 2)*(k - 1) Let a = 1244/4403 + 2/629. Factor 0 + 2/7*t**5 - a*t**3 - 2/7*t**2 + 0*t + 2/7*t**4. 2*t**2*(t - 1)*(t + 1)**2/7 Let b(k) be the first derivative of 2*k**3/63 + 21. Determine h, given that b(h) = 0. 0 Let g(t) be the first derivative of -t**6/9 - 4*t**5/15 - t**4/6 - 3. What is n in g(n) = 0? -1, 0 Let h be (-3)/(-18)*(2 - (2 + -2)). Let -x**5 + h*x**2 + 0 + 0*x - 1/3*x**3 - 5/3*x**4 = 0. Calculate x. -1, 0, 1/3 Let j(d) = -d - 5*d + 7*d. Let b be j(3). Factor 1/5*m**b + 0 + 2/5*m**2 + 1/5*m. m*(m + 1)**2/5 Let a(t) be the first derivative of -t**3/21 - t**2/7 - 4. Factor a(g). -g*(g + 2)/7 Suppose -4*f**3 + f**2 - 3*f**2 - 2*f**2 = 0. What is f? -1, 0 Let z(c) = -c**2 + 4*c. Suppose 5*b + 2*y - 23 = 0, -5*y + 8 = -3*b - b. Let f be z(b). Factor v**2 - 3*v**4 + v**5 + 5*v**4 + 0*v**4 - f*v**4 - v**3. v**2*(v - 1)**2*(v + 1) Let w(y) be the third derivative of -y**9/151200 - y**8/8400 - y**7/1050 - y**6/225 - y**5/30 + 2*y**2. Let x(n) be the third derivative of w(n). Factor x(o). -2*(o + 2)**3/5 Let q(y) be the second derivative of 0*y**2 - 1/6*y**3 + y + 0 + 1/12*y**4. Find w such that q(w) = 0. 0, 1 Find v, given that 2/7*v**4 + 2/7*v**5 - 6/7*v**3 - 2/7*v**2 + 0 + 4/7*v = 0. -2, -1, 0, 1 Let h(s) be the first derivative of s**6/75 - s**5/50 - s**4/10 + s**3/3 - 2*s**2/5 - 4*s - 2. Let v(a) be the first derivative of h(a). Factor v(c). 2*(c - 1)**3*(c + 2)/5 Suppose -h - 1 + 6 = 0. Let l(q) be the second derivative of -1/2*q**2 + 1/20*q**h - 1/4*q**4 + 0 + 1/2*q**3 - q. Factor l(b). (b - 1)**3 Let r(g) = -g**2 + 0*g**2 - 10*g + 0*g**2 + 13*g. Let m(x) = 1. Let k(n) = -6*m(n) + 3*r(n). Let k(u) = 0. Calculate u. 1, 2 Let r(i) be the first derivative of -4/5*i - 2 - 1/5*i**2 + 2/15*i**3. Factor r(j). 2*(j - 2)*(j + 1)/5 Let o(i) be the first derivative of -9*i**4/8 - 7*i**3/6 + i**2/2 - 36. Factor o(d). -d*(d + 1)*(9*d - 2)/2 Let j = 1559/86340 - 2/1439. Let d(n) be the second derivative of -1/150*n**6 + n + 0*n**5 + 0*n**2 + j*n**4 + 0 + 0*n**3. Determine u so that d(u) = 0. -1, 0, 1 Suppose s + 42 = -s. Let b be (1/(-6))/(7/s). Factor -1/2*g**2 - b*g + 0. -g*(g + 1)/2 Let h(n) = 2*n**2 - 4*n + 4. Let u be h(1). Let q(d) be the second derivative of -1/15*d**3 + 0 + 0*d**u - 1/60*d**4 + 2*d. Let q(s) = 0. Calculate s. -2, 0 Let y(d) be the second derivative of 3*d**5/5 + d**4/4 - 4*d. Factor y(f). 3*f**2*(4*f + 1)
{ "pile_set_name": "DM Mathematics" }
8. Determine a(-128). -8 Let t(h) = -121*h**2 - 705*h + 162. Determine t(-6). 36 Let j(q) = 878*q + 12989. Calculate j(-11). 3331 Let b(z) = z**3 - 272*z**2 + 16185*z + 419. Give b(184). -869 Let t(i) = i**3 - 12*i**2 - 271*i - 185. Calculate t(-11). 13 Let a(t) = -3*t**3 - 40*t**2 - 123*t - 88. Determine a(-2). 22 Let a(w) = -37*w**2 + 286*w + 1017. Calculate a(-2). 297 Let g(m) = 266588*m + 799791. Calculate g(-3). 27 Let k(n) = -94*n - 16824. Determine k(-186). 660 Let q(c) = 5588*c + 5766828. Give q(-1032). 12 Let u(g) = -21*g**3 + 181*g**2 - 97*g - 83. Determine u(8). -27 Let r(y) = -1498*y - 127427. What is r(-85)? -97 Let n(r) = r**2 - 815*r - 801209. Determine n(-576). 7 Let t(o) = 8*o**2 - 56*o - 184. Determine t(-7). 600 Let u(p) = -11766*p + 1341330. What is u(114)? 6 Let w(p) = 2*p**2 - 394*p + 4116. What is w(11)? 24 Let t(l) = 371*l**3 - 1500*l**2 + 11*l + 9. What is t(4)? -203 Let z(q) = -q**3 + 80*q**2 - 1479*q - 1. Give z(29). -1 Let y(i) = -i**3 - 65*i**2 - 165*i + 1422. Calculate y(-62). 120 Let a(g) = -58854*g + 2648421. Give a(45). -9 Let m(n) = -2*n**3 - 114*n**2 + 217*n + 12293. Give m(-57). -76 Let g(y) = 2*y**2 - 348*y - 77312. Calculate g(302). 0 Let s(k) = -14878*k + 193433. What is s(13)? 19 Let t(n) = -2396*n + 397742. Calculate t(166). 6 Let f(x) = -x**2 - 13*x + 6463. Give f(-86). 185 Let y(t) = -29*t**2 - 187*t + 773. Give y(4). -439 Let l(r) = -r**3 - 121*r**2 - 330*r + 51. Calculate l(-3). -21 Let p(x) = -2*x**3 + 613*x**2 - 32422*x - 943. Calculate p(68). 9 Let t(q) = -64*q**2 + 718*q - 141. Determine t(12). -741 Let o(r) = 96594*r - 12943593. What is o(134)? 3 Let j(z) = -2*z**2 - 147*z - 1937. Give j(-63). -614 Let x(g) = 285*g + 2509. Determine x(-5). 1084 Let w(y) = -2070*y + 6897. Calculate w(5). -3453 Let t(h) = 68*h**2 - 1039*h + 3172. What is t(11)? -29 Let q(n) = -1699*n**2 - 27185*n - 10. Calculate q(-16). 6 Let g(l) = 23146*l - 92575. Calculate g(4). 9 Let s(w) = -23*w - 232. Calculate s(-10). -2 Let o(b) = 2*b**2 + 2668*b + 103807. Determine o(-39). 2797 Let m(o) = 3*o**2 - 1051*o - 67808. Give m(406). -6 Let o(c) = 44029*c + 176086. What is o(-4)? -30 Let b(g) = -g**3 - 70*g**2 - 333*g - 526. What is b(-65)? -6 Let g(w) = 140432*w + 6319415. Determine g(-45). -25 Let n(u) = 3*u**3 + 31*u**2 - 74*u - 749. Determine n(-10). 91 Let y(p) = 27*p**3 + 223*p**2 + 26*p + 5. Give y(-8). 245 Let r(o) = o**3 + 89*o**2 - 2470*o - 129. Calculate r(22). -745 Let l(b) = -5437*b + 5439. Calculate l(1). 2 Let b(a) = a**3 - 100*a**2 - 32833*a + 1522. What is b(-138)? 4 Let n(w) = 90*w**2 - 4921*w + 3297. What is n(54)? 3 Let d(g) = 88*g - 2928. Give d(17). -1432 Let f(m) = -47*m**3 - 5*m**2 + 28*m - 15. What is f(2)? -355 Let a(x) = x**3 - 7*x**2 + 141*x - 825. Determine a(5). -170 Let h(s) = -s**2 - 2843*s + 1228346. What is h(381)? 2 Let h(j) = -j**2 + 1210*j - 354877. What is h(711)? -88 Let h(u) = -31*u**3 - 4741*u**2 + 305*u - 211. Calculate h(-153). -58 Let u(r) = 20*r**2 + 1302*r - 1215. Calculate u(-66). -27 Let t(s) = -s**3 + 78*s**2 - 6106. Give t(77). -177 Let j(s) = 5*s**3 + 96*s**2 - 74*s - 109. What is j(-20)? -229 Let r(a) = a**3 - 53*a**2 - 938*a + 39. Give r(67). 39 Let p(t) = t**3 - 184*t**2 - 788*t + 3831. Give p(-7). -12 Let q(k) = k**3 + 7*k**2 - 1449*k - 24533. Give q(-27). 10 Let c(z) = 16*z + 3197. What is c(-165)? 557 Let r(n) = 428*n**2 + 49349*n + 14851. What is r(-115)? 16 Let r(l) = 6*l**2 + 1164*l + 13157. Give r(-11). 1079 Let u(f) = -f**3 - 77*f**2 + 118*f - 3850. What is u(-79)? -690 Let d(o) = -147*o - 27365. Determine d(-195). 1300 Let l(h) = -53*h**2 - 2125*h + 1970. Determine l(-41). 2 Let z(g) = -g**3 - 230*g**2 - 413*g + 9758. Calculate z(-228). -46 Let g(p) = -128*p**2 + 19383*p + 11093. What is g(152)? -3 Let a(g) = 86672*g - 15600966. Give a(180). -6 Let q(l) = 3295*l + 2579977. What is q(-783)? -8 Let j(i) = -i**3 + 388*i**2 + 1218*i + 137124. Calculate j(392). -76 Let i(x) = -348*x**2 + 3433*x + 488. What is i(10)? 18 Let s(o) = -3*o**3 + 68*o**2 + 95*o + 85. What is s(24)? 61 Let r(s) = s**3 - 85*s**2 + 963*s - 1943. What is r(72)? 1 Let a(j) = -6*j**2 - 162*j - 295. What is a(-15)? 785 Let h(g) = -10*g**2 + 119*g + 70. What is h(10)? 260 Let d(l) = l**2 - 346*l + 3806. Give d(12). -202 Let o(w) = 1253*w + 235564. What is o(-188)? 0 Let y(s) = 4*s**2 - 55351*s - 55350. What is y(-1)? 5 Let m(i) = 7746*i + 317753. What is m(-41)? 167 Let i(h) = -h**3 - 76*h**2 + 1122*h - 10. What is i(13)? -465 Let f(v) = -36*v**2 + 269*v - 17. Give f(8). -169 Let c(g) = -13*g**2 + 2927*g + 2614. Give c(226). 128 Let j(y) = -2*y**3 - y**2 + 72*y - 82. What is j(5)? 3 Let z(l) = 4*l**3 - 186*l**2 + 70*l + 9. Determine z(46). -1003 Let d(n) = 37*n**2 - 9448*n + 28324. Calculate d(3). 313 Let a(w) = -124*w**2 - 63*w + 183. Determine a(1). -4 Let c(r) = -11981*r - 131841. Determine c(-11). -50 Let t(p) = -290*p + 694. What is t(2)? 114 Let q(n) = -18083*n - 108. Determine q(0). -108 Let r(s) = 44*s**2 + 1632*s + 11980. Calculate r(-27). -8 Let g(y) = -3*y**2 - 686*y - 37971. Give g(-93). -120 Let p(j) = -5*j**3 + 238*j**2 + 334*j + 424. Calculate p(49). -17 Let p(g) = -219*g + 15065. Give p(71). -484 Let t(m) = -m**3 - 159*m**2 - 315*m - 265. Give t(-157). -108 Let u(b) = b**2 + 112447*b + 3035341. Give u(-27). 1 Let v(i) = -84*i + 4563. Calculate v(51). 279 Let b(f) = -2038*f + 46482. What is b(23)? -392 Let t(h) = h**2 - 23*h - 257. Determine t(-16). 367 Let y(n) = -n**2 + 3*n + 14219. Give y(122). -299 Let i(x) = 6*x**3 - 3*x**2 + 783*x + 4. Determine i(0). 4 Let x(a) = -7*a**2 - 624*a + 4288. What is x(7)? -423 Let j(n) = -n**3 + 180*n**2 + 5846*n - 428. Determine j(-28). -1044 Let v(y) = 33*y**2 + 5*y + 118. Determine v(-5). 918 Let h(k) = 8*k**2 + 694*k + 9380. Give h(-70). 0 Let q(i) = i**2 + 50*i - 273953. Determine q(499). -2 Let x(q) = -94*q**2 - 5696*q + 14187. Calculate x(-63). -51 Let n(v) = 21*v**2 - 175*v - 1821. What is n(-10)? 2029 Let c(y) = 1975*y + 11831. What is c(-6)? -19 Let y(z) = 4*z**3 - 7*z**2 + 720*z - 1444. What is y(2)? 0 Let o(a) = -2*a**3 + 17*a**2 + 369*a - 2998. Determine o(8). 18 Let a(p) = 173*p - 7319. What is a(42)? -53 Let m(y) = 6269*y - 181254. Calculate m(29). 547 Let a(o) = -9803*o - 6. What is a(0)? -6 Let r(j) = j**3 + 3*j**2 - 533*j - 3585. Determine r(-7). -50 Let n(a) = -22*a**2 + 310*a - 34. Calculate n(13). 278 Let z(u) = 1295*u + 28507. Calculate z(-22). 17 Let n(p) = -18*p**2 + 1322*p + 10495. What is n(-8)? -1233 Let r(a) = -2*a**3 - 29*a**2 - 687*a - 5271. Determine r(-9). 21 Let o(n) = 105*n + 22951. Give o(-204). 1531 Let i(d) = 376*d - 63880. Determine i(170). 40 Let y(s) = -91*s**3 + 361*s**2 + 12*s + 26. Give y(4). 26 Let c(t) = -t**3 + 15*t**2 + 2288*t - 32088. Determine c(14). 140 Let l(b) = -b**3 - 2470*b**2 - 29511*b - 93. What is l(-12)? 87 Let n(w) = 3641*w - 182130. Give n(50). -80 Let f(r) = r**3 - 216*r**2 - 1118*r + 1946. Determine f(221). -927 Let b(z) = -3380*z + 446161. Calculate b(132). 1 Let m(h) = -169*h - 6706. Give m(-41). 223 Let z(q) = 2*q**3 + 21*q**2 + 136*q + 286. Calculate z(-3). 13 Let t(n) = n**3 - 11*n**2 - 989*n + 4070. Give t(4). 2 Let x(v) = 1396*v**2 - 118694*v + 2885. What is x(85)? -5 Let r(m) = 209*m + 5824. What is r(-22)? 1226 Let i(m) = 2*m**2 - 762*m + 70463. Determine i(223). -5 Let n(d) = 728*d - 19728. What is n(28)? 656 Let w(j) = 22*j**2 + 370*j - 47. What is w(-17)? 21 Let i(m) = -47*m**2 - 2053*m + 639. Give i(-44). -21 Let c(u) = -4*u**3 - 720*u**2 - 8*u - 1169. Determine c(-180). 271 Let i(w) = 2*w**2 - 72*w + 341. What is i(-20)? 2581 Let a(u) = 184*u + 1998. What is a(-11)? -26 Let m(a) = -12*a**2 - 8297*a - 3491. Give m(-691). -36 Let i(l) = 5*l**2 + 47*l - 4790. Give i(-36). -2 Let c(q) = -5*q**2 + 91*q + 126. Determine c(21). -168 Let j(f) = 14934*f - 44737. What is j(3)? 65 Let f(h) = -6*h**2 + 1165*h + 114657. Give f(266). 11 Let f(h) = -4113*h - 2434906. Give f(-592). -10 Let l(a) = a**3 - 64*a**2 + 1041*a - 137. Determine l(30). 493 Let t(v) = -28*v + 2186. Calculate t(78). 2 Let x(m) = m**3 + 130*m**2 + 2751*m - 37720. What is x(-98)? 10 Let d(p) = -5440*p**2 + 190399*p + 46. Determine d(35). 11 Let s(x) = x**3 - 14*x**2 + 15*x + 143. Calculate s(10). -107 Let a(q) = -1530
{ "pile_set_name": "DM Mathematics" }
= 7*p(z) - 4*t(z). What is the first derivative of i(k) wrt k? 18*k - 10 Let m(p) = p**4 + 2*p**3 - p**2 + p. Let v(k) = -171*k**4 + 2*k**3 - 10*k. Let n(j) = -m(j) + v(j). Find the third derivative of n(u) wrt u. -4128*u Let i(q) = -37*q**2 + 2*q + 157. Let m(w) = -41*w**2 + 3*w + 158. Let c(v) = 3*i(v) - 2*m(v). What is the first derivative of c(a) wrt a? -58*a What is the third derivative of c**2 + 11*c**2 - 1161*c**4 + 1149*c**4 wrt c? -288*c Suppose -4 - 5 = -j. Suppose -10 = -j*c + 4*c. What is the second derivative of -2*t**5 + 9*t**5 + 4*t - c*t**5 wrt t? 100*t**3 Let y(i) = i**3 + 7*i**2 - 2. Let h be y(-6). Suppose -5*j - 4*r = -r - h, 2*j - 5*r + 5 = 0. What is the second derivative of c - 5*c**j + c**5 + 3*c wrt c? -80*c**3 Let l(y) = 7*y**4 + 4*y**3 - 3*y**2 - 65. Let i(v) = -v**4 + v**2 - 1. Let m(f) = -3*i(f) - l(f). Find the first derivative of m(u) wrt u. -16*u**3 - 12*u**2 Find the third derivative of 15 + 47*t**2 - 31 + 7*t**6 - 9*t**2 - 4*t**5 + 18 wrt t. 840*t**3 - 240*t**2 Let q(m) be the second derivative of 10*m - 5/2*m**2 + 0*m**5 - 2 - 7/10*m**6 - 1/3*m**3 + 0*m**4. What is the second derivative of q(r) wrt r? -252*r**2 Let j = 1137 + -27283/24. Let o(s) be the third derivative of 5/3*s**3 - j*s**4 + 0*s - 5*s**2 + 0. What is the derivative of o(i) wrt i? -5 Let c(w) be the second derivative of 0*w**4 - 7/4*w**5 + 36*w + 9*w**2 + 0 + 0*w**3. What is the first derivative of c(n) wrt n? -105*n**2 Suppose 3*i = 2*s + 31, 2*i - s + 43 = 7*i. What is the third derivative of 23*c**4 - 4*c**2 - i*c**2 - 18*c**4 wrt c? 120*c Let i(c) be the first derivative of 31*c**6/120 + c**5/3 - 17*c**2/2 + 10. Let n(t) be the second derivative of i(t). Find the third derivative of n(w) wrt w. 186 Let x(v) = -v**5 - v**4 - v**2. Let i(n) = -32*n**5 - n**4 - n**2 + 25*n. Let s = -92 + 91. Let u(o) = s*x(o) + i(o). Find the second derivative of u(j) wrt j. -620*j**3 Let i(z) be the second derivative of -24*z**5/5 - z**4/12 + 7*z**3/2 + 3*z**2/2 - 310*z. Find the second derivative of i(s) wrt s. -576*s - 2 Let n(q) be the second derivative of -q**8/56 + q**5/12 - 3*q**2 - 8*q. Let z(c) be the first derivative of n(c). What is the third derivative of z(o) wrt o? -360*o**2 Let g(m) be the third derivative of -m**10/50400 - 11*m**6/720 - m**5/10 - 10*m**2. Let t(q) be the third derivative of g(q). Differentiate t(z) wrt z. -12*z**3 Let x(b) = -b**4 - b**2 - b + 1. Let q(o) = 2*o**4 - 8*o**2 - 8*o - 8. Let l be -1 - ((-1)/(-3))/(5/105). Let j(g) = l*x(g) + q(g). Differentiate j(p) wrt p. 40*p**3 Let z(d) = 3*d - 21. Let c be z(9). Differentiate 3*t**2 - 14*t**2 + 9 - 4 + c wrt t. -22*t Let q(y) be the first derivative of 53*y**5/5 - 125*y**2/2 - 194. Find the second derivative of q(s) wrt s. 636*s**2 Find the third derivative of -384*g**3 + 1 + 149*g**2 + 84*g + 1153*g**3 - 84*g wrt g. 4614 Let v(k) be the second derivative of 3/5*k**5 + 12*k - 7/3*k**4 + 0 + 0*k**2 + 0*k**3. What is the third derivative of v(a) wrt a? 72 Let a(t) be the third derivative of -11*t**6/360 - t**4/6 + 4*t**3 + 25*t**2. Let g(b) be the first derivative of a(b). Differentiate g(y) with respect to y. -22*y Let i = -431 + 431. Let b(g) be the first derivative of i*g**2 - 8/3*g**3 - 3*g + 6. Differentiate b(y) with respect to y. -16*y Let g(r) be the second derivative of -37*r**8/14 - r**7/21 - 205*r**4/4 - 157*r. Find the third derivative of g(b) wrt b. -17760*b**3 - 120*b**2 What is the second derivative of 470*m**4 - 1926*m + 6 - 4 + 1872*m - 2 wrt m? 5640*m**2 Let f(d) = -64*d + 39*d**2 - 6 + 64*d. Let q(g) = 8*g**2 - 1. Let j(y) = 5*f(y) - 24*q(y). Differentiate j(c) with respect to c. 6*c Let h = -3/94 + 53/188. Let i(z) be the first derivative of 0*z**2 - h*z**4 + 0*z - 10/3*z**3 + 10. What is the third derivative of i(k) wrt k? -6 Let n(d) be the second derivative of 8/3*d**4 + 1/14*d**8 + 0*d**7 + 0*d**5 + 0*d**6 + 0 + 0*d**2 - 23*d + 0*d**3. What is the third derivative of n(h) wrt h? 480*h**3 Let m(h) = -133*h**3 + 91*h**2 - 4*h - 16. Let x(o) = -o**3 + o**2 + o + 4. Let n(v) = m(v) + 4*x(v). Find the third derivative of n(p) wrt p. -822 Let z(p) be the first derivative of 263*p**4/2 + p**3/3 + 380*p + 342. Find the third derivative of z(b) wrt b. 3156 Let o be (3/(-6))/(((-28)/32)/7). Find the third derivative of 90*u**2 - 125*u**2 - 34*u**4 - u**o wrt u. -840*u Find the second derivative of 10 + 3*a**2 + 484*a - 44*a**3 - 480*a + 5 wrt a. -264*a + 6 Let y(r) be the first derivative of 29*r**7/42 - 29*r**3/6 - 39*r - 39. Let w(u) be the first derivative of y(u). Find the second derivative of w(x) wrt x. 580*x**3 Let z be 10/(-45) - 20/(-9). Let w(q) = -9*q - 11. Let u(o) = 1. Let f(p) = z*u(p) - w(p). Differentiate f(s) wrt s. 9 Suppose 0*m + 2*m = 8. Suppose 5*h - 4*k + 8 = 0, -k + m = h + k. Find the second derivative of -4*n + n + h*n**2 + 4*n**2 wrt n. 8 Let o(q) be the first derivative of 0*q**2 + 13*q + 24 + 22/3*q**3. Find the first derivative of o(n) wrt n. 44*n Let p(q) be the first derivative of q**8/210 + 13*q**5/60 + 4*q**3/3 + 25. Let s(o) be the third derivative of p(o). Find the second derivative of s(u) wrt u. 96*u**2 Let b = 122 - 119. Find the second derivative of b*u - 12*u**3 + 0*u + 34 - 34 wrt u. -72*u Let n(z) be the second derivative of 3*z**5/20 + 5*z**4/12 + 37*z**3/6 + 10*z - 1. What is the second derivative of n(k) wrt k? 18*k + 10 Let l(m) be the third derivative of -3*m**2 + 0*m**4 + 0 + 0*m**6 - 2/35*m**7 + 0*m**5 - 1/3*m**3 + 0*m. What is the first derivative of l(d) wrt d? -48*d**3 Let k be -1*(10 - 7) - (-14)/4. Let c(m) be the second derivative of k*m**2 + 0*m**3 - m - 3/20*m**5 + 0*m**4 + 0. Differentiate c(p) wrt p. -9*p**2 Let l(u) be the third derivative of u**4/24 + 4*u**3/3 + 5*u**2. Let m be l(-6). Find the third derivative of -2*k**5 + 0*k**m - 3*k**2 - 2*k**5 - k**5 wrt k. -300*k**2 Let w(d) be the first derivative of -352*d**3/3 + 223*d**2/2 + 384. What is the second derivative of w(l) wrt l? -704 What is the second derivative of 20 + 10*l - 149*l**3 - 34*l + 25*l wrt l? -894*l Let r(t) be the second derivative of 17*t + 0*t**2 - 11/3*t**3 + 0 + 0*t**4 + 0*t**5 - 5/6*t**6. What is the second derivative of r(c) wrt c? -300*c**2 Let h = -11 - -9. Let p be 1/(-2) - 5/h. Differentiate r**2 - 1 + p + 0*r**2 + 0 wrt r. 2*r What is the third derivative of 225*a**4 - 224*a**4 + 96*a**6 + 107 + 38*a**6 - 2*a**2 wrt a? 16080*a**3 + 24*a What is the second derivative of 23*h**2 + 339*h - 9*h**2 + 388*h**3 - 14*h**2 wrt h? 2328*h Let m(n) be the first derivative of 19*n**7/840 - n**5/120 + 2*n**3 - 4. Let w(g) be the third derivative of m(g). Find the second derivative of w(o) wrt o. 114*o Let t(f) = f**2 + 11*f + 15. Let z be t(-13). Find the first derivative of 4 - 38*q**4 + z*q**4 + 14 wrt q. 12*q**3 Let h(a) be the second derivative of a**8/56 + 51*a**5/10 - 29*a**4/12 - 9*a - 3. Find the third derivative of h(m) wrt m. 120*m**3 + 612 Let i(k) be the first derivative of 110*k**3/3 + 37*k - 20. Differentiate i(x) wrt x. 220*x Let d(m) = m**4 + m**3 + m**2 + 1. Let v(x) = 3*x**3 + 2*x**2 - x**3 + 0*x**3 + 14. Let b(j) = -2*d(j) + v(j). What is the first derivative of b(i) wrt i? -8*i**3 Suppose -3*n - n = 68. Let p = n + 20. Find the third derivative of -4*v**4 - 247*v**p - 8*v**2 + 247*v**3 wrt v. -96*v Suppose 0 = -l - 2*l + 12. Find the second derivative of 20*n**4 - 2*n**4 + 15*n + 0*n**l wrt n. 216*n**2 What is the third derivative of -24*u + 14*u + 6*u - 4*u**2 - 64*u**3 wrt u? -384 Suppose 13 = 3*p - 14. Let d = 11 - p. Find the second derivative of -d*w**2 + 0*w**2 + 3*w**2 + 5*w + 8*w**2 wrt w. 18 Let z(t) = 2760*t**4 - 52*t**3 + 52*t + 10896. Let s(b) = -480*b**4 + 9*b**3 - 9*b - 1895. Let p(i) = -52*s(i) - 9*z(i). Differentiate p(k) with respect to k. 480*k**3 Let i(o) be the first derivative of -o**4/6 + 4*o**3/3 + 5*o - 10. Let t(g) be the first derivative of i(g). What is the second derivative of t(n) wrt n? -4 Suppose -2*o = -2 - 4. Find the first derivative of -12 - 4 + o + 1 - p**3 wrt p. -3*p**2 Find the third derivative of 281*i**2 + 223*i**3 - 124*i + 60*i + 64*i - 7*i**2 wrt i. 1338 Let j be (-18)/(-27) + 47/(-3). Let p be ((-21)/j)/(2/10). Find the second derivative of -2*s - 2*s - p*s - 11*s**3 +
{ "pile_set_name": "DM Mathematics" }