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denominator of (-4)/3*(-413)/(-140) and 369/(-165) + 4/(-10). 165 Let c = 2 - 2. Suppose 8 = 2*y - c*z + 2*z, 2*z - 20 = -5*y. Let i(o) = -3*o - 32. What is the lowest common multiple of y and i(-18)? 44 Let r = 4475/6732 - 10/99. Calculate the common denominator of 68/33 and r. 2244 Let u = -81 - -80. Calculate the common denominator of (5/(-180))/(u/49) and 47/18. 36 Let p(d) = 6*d**3 - 10*d**2 - 8*d. What is the smallest common multiple of p(4) and 72? 576 Find the common denominator of ((-7)/(-595))/(12/(-525)) and -51/28. 476 Let c = 39 + -27. Suppose -7*s = -11*s + c. Suppose s*p + 0*p = 36. What is the lowest common multiple of 8 and p? 24 Let q(g) = -g - 2. Suppose -2*c - 3 + 43 = 0. Suppose -4*x + c = -12. What is the smallest common multiple of x and q(-6)? 8 Let u = 3 + -1. Suppose -234 = -8*z - 5*z. Calculate the least common multiple of z and u. 18 Let h = -603601/8954 - -2480/37. What is the common denominator of h and 67/8? 968 Suppose -3*c - 5*z + 14 = 0, 4*c - 10*z = -13*z + 15. What is the least common multiple of 2 + 4 - (1 + -1) and c? 6 Suppose 19 - 7 = 3*a. Suppose 0 = -a*f - 6 + 38. Let b(u) = -u**3 - 10*u**2 - 13*u - 12. What is the least common multiple of f and b(-9)? 24 Let a(c) = -c - 4. Let l be a(-9). Suppose 0 = l*q - 5*i - 115, 5*i + 89 = -0*q + 4*q. Let s = 36 - q. Calculate the lowest common multiple of 11 and s. 110 Let z = 10 + -10. Suppose z*b - b - 355 = 0. Let t = 3200/9 + b. Find the common denominator of t and 31. 9 Let n = 3/32 + 109/32. Find the common denominator of 41/8 and n. 8 Let k = 370 + 100. Suppose -5*u = -3*r + 62 + 433, -2*r - k = 5*u. Calculate the common denominator of u/80*82/8 and 25/22. 110 What is the lowest common multiple of 39/(-65) + 53/5 and 3? 30 Suppose 36*j - 58*j = -20064. Calculate the smallest common multiple of 22 and j. 10032 Let d(z) = -z**2 - 9*z - 2. Suppose 0 = 4*i + k - 51, 2*k = 2*i + 4 - 22. Calculate the lowest common multiple of i and d(-7). 12 What is the common denominator of (-6487)/(-546) + 60/(-6) and -77/6? 42 Suppose -2*f = -2*h - 9 - 25, 0 = 2*f - 10. Let c = -386 - -683. What is the common denominator of c/h - (-2)/1 and -17/7? 28 Let h be ((-9)/(-6))/((-1)/2). Let a(y) = -17*y**2 - 3*y + 4. Let r be a(h). Calculate the common denominator of (-2 + 1)*(-235)/r and -41/14. 28 Let z = 43837/11 - 15945/4. What is the common denominator of z and -21/110? 220 Let i = 2/5031 + -48643/25155. Calculate the common denominator of 43/33 and i. 165 Suppose 74 + 106 = 3*m. What is the lowest common multiple of m and 36? 180 Let y = -63 - -31. Let t be ((-122)/36)/(y/19). Let p = t + -47/64. Find the common denominator of p and 1/16. 144 Let u = 29/2 - 115/6. Suppose -4*w + 5*s = -18920, 0 = 4*w - 6*w - 5*s + 9490. Let g = w - 47243/10. Find the common denominator of g and u. 30 Suppose 2 = m + 4*x, 5*x + 4 = x. Let o = -14 - -44. Calculate the least common multiple of o and m. 30 Let b = 294277/1368 + -4060/19. Find the common denominator of 77/180 and b. 360 Let k = -10 + 24. Let f = 39 - 111. Let w = -70 - f. Calculate the least common multiple of w and k. 14 Let o = 336 + -633. What is the common denominator of 2/(-7) + o/(-819) and 116/174 - (-86)/33? 143 Let a = 471 + -249. What is the least common multiple of a and 2? 222 Let b = -75/107 - -8411/856. Let f = 9367/1790 - -12/179. Calculate the common denominator of b and f. 40 Let g = 616237/185500 + -4/6625. What is the common denominator of 155/42 and g? 84 Let f = 134 - 102. What is the least common multiple of 4 and f? 32 Let p = 94 + -46. What is the common denominator of (p/(-72))/(140/222) and -53/9? 315 Let f = 47 - 15. Calculate the smallest common multiple of f and 80. 160 Let b = -1/1122 - 21689/3366. What is the common denominator of 23 + -23 + 18/14 and b? 63 Let p(w) = w**2 + 23*w + 111. Calculate the lowest common multiple of 81 and p(-17). 81 Suppose -13*z = 8*z - 9870. What is the smallest common multiple of z and 2? 470 Suppose -4 = 12*z - 13*z. Calculate the smallest common multiple of z and 6. 12 Calculate the least common multiple of (11 - 5)*(-1 + (-15)/(-6)) and 231. 693 Let z(u) = -7*u - 45. What is the lowest common multiple of 4 and z(-7)? 4 Let a = -76108 - -8219807/108. What is the common denominator of 10/27 and a? 108 Let s(r) = -r**3 - 4*r**2 - 2*r + 2. Calculate the lowest common multiple of 15 and s(-4). 30 Let p = 8445326741809326 - 4581860007885158094955/542532. Let l = 1/45211 - p. Let w = -3932 - l. Calculate the common denominator of w and 7/2. 12 Let j = -80 + 83. Find the common denominator of (-1)/2 + (-7)/5 and (185/50*4)/(6/j). 10 What is the common denominator of -3/8 and 1685*((-1207)/402 + 3) + 4? 1608 Suppose -50*y = -53*y + 72. Suppose -36*g + y = -32*g. What is the least common multiple of g and 3? 6 Let p(c) = c**3 - c**2 - 2*c + 90. What is the smallest common multiple of 45 and p(0)? 90 Find the common denominator of (-32)/360*-93 - 12 and 43/105. 105 Find the common denominator of 18/7 and (-6)/4*(-6958)/2058. 14 Let i(r) = 2*r**3 + r**2. Let b be i(1). Suppose 0 = -4*q + b*n - 3, -7 = -4*n + 13. What is the smallest common multiple of 4 and q? 12 Let h(f) = -11*f**2 + 51*f - 32. Let t(l) = -5*l**2 + 25*l - 16. Let g(k) = -6*h(k) + 13*t(k). Calculate the smallest common multiple of 1 and g(-20). 4 Let m = 22708747/689 + -32959. Let k = m + -58557/1378. Calculate the common denominator of k and 103/10. 10 Let b be -2 + 4/(384/314983). Let i = b - 15433595/4704. Let u = -1/294 - i. Calculate the common denominator of -9/10 and u. 40 Let a = 110937/16 - 6936. What is the common denominator of -29/16 and a? 16 Suppose 2*k - 2*c = -0*k + 56, 2*k - 52 = c. What is the lowest common multiple of k and 75? 600 Find the common denominator of 935/(-1530)*2/10 and ((-38)/(-27))/((-4)/(-24)). 90 Let i = -565 + 601. What is the least common multiple of 120 and i? 360 Let v = -1170 + 1215. Calculate the least common multiple of 95 and v. 855 Let v = 122 + -114. Calculate the smallest common multiple of v and 20. 40 What is the common denominator of 4815/18*7/(-175) and 55/294? 1470 Let p(n) = n**3 + 24*n**2 + 22*n - 21. Suppose -7*v + 5*v = 3*b + 5, -3*b = 5*v - 1. What is the lowest common multiple of v and p(-23)? 2 Let f = 433/16975 + 33/97. Calculate the common denominator of 29/7 and f. 175 Let s(i) = i**2 + 8*i - 1. Let q be s(-9). Calculate the common denominator of (-534)/(-28)*q/(-24) and -77/8. 56 Let p = -159095/3 - -823894/15. Let o(y) = y**3 + 19*y**2 + 47*y - 18. Let h be o(-21). Let r = h + p. Calculate the common denominator of 11/6 and r. 30 Let m = 1759 + -1754. What is the least common multiple of 57 and m? 285 Let o = 533102 - 147135529/276. Let j = -11/69 - o. Find the common denominator of -57/20 and j. 60 What is the common denominator of ((-290)/(-90) + -4)/(6/9) and -41/2580? 2580 Let h = 2646968/97 - 27288. What is the common denominator of 1/11 and h? 1067 Let t = 26979/8 - 3378. What is the common denominator of ((-20)/5 - 0)/(28/34) and t? 56 Let j = -11 + 4. Let b(y) = -19*y - 8. Let f be b(j). Suppose -37 = -3*w - i + 32, -f = -5*w - 5*i. Calculate the least common multiple of 12 and w. 132 Let h = 91 - 88. Find the common denominator of -63/4 and h + -6 + 3 + (-106)/42. 84 Let t = -29881/6 - -4965. Calculate the common denominator of t and (-61)/6 + 2/(-3). 6 Let i = -3923711061/321386 + -1108/12361. Let s = 12211 + i. Calculate the common denominator of 33/7 and s. 182 Let f = 10 - 13. What is the common denominator of 0 + -1 + 570/20 and (5/(-30))/(f/116)? 18 Let w be -8*((-7)/(-2) - 3) - 3032. Let d = -100204/33 - w. Calculate the common denominator of 53/54 and d. 594 Let x(i) = i**3 - 5*i**2 + 2. Let f(n) = -3*n**3 + 11*n**2 - 3. Let a(y) = 2*f(y) + 5*x(y). What is the lowest common multiple of a(-3) and 7? 28 Let x(a) = 175*a**3. Let n be x(-1). Let q = 190 - 205. Calculate the common denominator of n/(-110)*q/7 and -113/10. 110 Let k = -1639 + 1959. What is the least common multiple of k and 112? 2240 Suppose 4*i - 65 + 1193 = -c, -1410 = 5*i + 2*c. Let w be (i/(-24))/(13/(-4)). Let j = w + 527/117. What is the common denominator of j and 89/6? 18 Let q = 26 - 23. Calculate the common denominator of -23/5 and (1 - q)*342/420. 35 Su
{ "pile_set_name": "DM Mathematics" }
874000 rounded to the nearest 100000? -61900000 Round 0.0026143 to four dps. 0.0026 Round 145.33 to the nearest one hundred. 100 What is -2.62 rounded to 0 dps? -3 Round 2371000 to the nearest one million. 2000000 Round 1545000 to the nearest one million. 2000000 Round 69170 to the nearest one thousand. 69000 Round -0.0000080587 to 6 dps. -0.000008 What is 0.016185 rounded to three decimal places? 0.016 Round 112500 to the nearest 10000. 110000 What is -0.000172401 rounded to six dps? -0.000172 What is -0.9857 rounded to 1 decimal place? -1 What is -10.817 rounded to the nearest integer? -11 Round 19492 to the nearest one hundred. 19500 What is -0.04096 rounded to 2 decimal places? -0.04 What is -0.0000067252 rounded to 6 decimal places? -0.000007 Round 0.00000030531 to six dps. 0 Round 0.000039541 to five decimal places. 0.00004 What is -0.00001505 rounded to six dps? -0.000015 What is -0.000262717 rounded to 5 dps? -0.00026 Round 4.2687 to 1 decimal place. 4.3 What is 348.4 rounded to the nearest 10? 350 What is 62.75 rounded to 1 dp? 62.8 Round -267.449 to the nearest 10. -270 What is -48000000 rounded to the nearest 1000000? -48000000 Round -145560000 to the nearest 100000. -145600000 What is -15.754 rounded to zero dps? -16 Round 2369000 to the nearest one hundred thousand. 2400000 What is -0.000007227 rounded to seven dps? -0.0000072 What is 713.2 rounded to the nearest 100? 700 What is 2264.02 rounded to the nearest 100? 2300 Round -7636 to the nearest one thousand. -8000 What is 3220400 rounded to the nearest 10000? 3220000 What is 1845.7 rounded to the nearest one thousand? 2000 What is 16.352 rounded to 0 dps? 16 Round 0.00000584 to seven decimal places. 0.0000058 Round -980 to the nearest ten. -980 Round -482 to the nearest 1000. 0 What is -152.26 rounded to the nearest integer? -152 What is 11.345 rounded to the nearest integer? 11 What is 0.0000288 rounded to six dps? 0.000029 Round -0.813 to two decimal places. -0.81 Round -1411.69 to the nearest 100. -1400 What is -1.9939 rounded to two dps? -1.99 What is -21167000 rounded to the nearest 100000? -21200000 Round -11.171 to the nearest integer. -11 Round 9916 to the nearest one hundred. 9900 What is -6.412 rounded to the nearest integer? -6 Round 9062 to the nearest 1000. 9000 Round 4936 to the nearest one thousand. 5000 What is -415000 rounded to the nearest ten thousand? -420000 Round -0.3174 to 1 decimal place. -0.3 Round -273400 to the nearest 10000. -270000 Round -0.01754 to 3 dps. -0.018 What is 1023.5 rounded to the nearest 100? 1000 Round -881800 to the nearest ten thousand. -880000 Round 10628 to the nearest 1000. 11000 Round 4.07486 to 1 decimal place. 4.1 What is -1364 rounded to the nearest one thousand? -1000 Round -15.97 to the nearest integer. -16 Round 4417.2 to the nearest one thousand. 4000 Round 8.053 to one decimal place. 8.1 What is 42660 rounded to the nearest ten thousand? 40000 What is -6872 rounded to the nearest 1000? -7000 Round -0.15612 to 1 decimal place. -0.2 What is 150360000 rounded to the nearest 1000000? 150000000 What is -0.118143 rounded to two decimal places? -0.12 What is -0.0000035271 rounded to 7 decimal places? -0.0000035 What is 0.37834 rounded to one dp? 0.4 Round -0.006723 to 4 dps. -0.0067 What is -14.201 rounded to the nearest integer? -14 Round -5634000 to the nearest 100000. -5600000 Round -94280000 to the nearest one million. -94000000 Round -80320 to the nearest 1000. -80000 Round 12.23 to the nearest integer. 12 Round 5252000 to the nearest 100000. 5300000 What is -0.000022831 rounded to 7 decimal places? -0.0000228 What is -0.00001294 rounded to six decimal places? -0.000013 What is 0.000050026 rounded to six decimal places? 0.00005 What is -16632 rounded to the nearest 1000? -17000 Round -22489000 to the nearest 100000. -22500000 What is -0.00000816 rounded to 6 decimal places? -0.000008 What is 104790 rounded to the nearest 1000? 105000 What is 58.86 rounded to the nearest 10? 60 Round -0.0015651 to four dps. -0.0016 Round -0.0000050583 to 7 dps. -0.0000051 Round -0.06959 to 2 decimal places. -0.07 What is -84284 rounded to the nearest one hundred? -84300 Round -109.536 to the nearest ten. -110 Round 4440000 to the nearest 1000000. 4000000 What is 3144700 rounded to the nearest 1000000? 3000000 Round -14.26 to 0 dps. -14 What is -0.000000145 rounded to seven dps? -0.0000001 What is 0.0901 rounded to 1 decimal place? 0.1 Round 0.000102916 to 5 dps. 0.0001 Round -307230 to the nearest 1000. -307000 What is -0.0001859 rounded to five decimal places? -0.00019 Round 88.957 to the nearest 10. 90 Round -558.53 to the nearest 10. -560 Round -0.14225 to one dp. -0.1 Round 3.67 to 0 dps. 4 Round 0.000022633 to seven dps. 0.0000226 Round -7056.12 to the nearest 10. -7060 Round 30353.2 to the nearest one hundred. 30400 Round 11391000 to the nearest 1000000. 11000000 What is -0.001523 rounded to four decimal places? -0.0015 Round -0.002538 to four dps. -0.0025 What is -26.767 rounded to the nearest integer? -27 Round -0.00000049165 to 7 dps. -0.0000005 What is -3133000 rounded to the nearest 100000? -3100000 Round -150.2 to zero decimal places. -150 Round -0.0010266 to 5 dps. -0.00103 What is 0.0239855 rounded to 3 decimal places? 0.024 Round -9370 to the nearest 10000. -10000 What is 0.00007446 rounded to five decimal places? 0.00007 What is 2.81 rounded to the nearest integer? 3 What is -4374000 rounded to the nearest one hundred thousand? -4400000 What is -130.1 rounded to the nearest 100? -100 Round -0.000002637 to seven dps. -0.0000026 What is 1.009 rounded to 1 dp? 1 Round 0.003529 to 4 decimal places. 0.0035 What is -57791.6 rounded to the nearest 1000? -58000 Round -0.36717 to 2 decimal places. -0.37 Round -0.90743 to 2 decimal places. -0.91 Round -11110 to the nearest one thousand. -11000 What is -0.000044043 rounded to seven decimal places? -0.000044 Round 0.0048755 to 4 decimal places. 0.0049 What is -0.0000107188 rounded to 6 decimal places? -0.000011 What is -0.01155 rounded to three dps? -0.012 What is 31.984 rounded to one dp? 32 Round 74.15 to 0 dps. 74 Round 0.30927 to 3 dps. 0.309 Round -0.000003482 to six dps. -0.000003 What is 0.001169 rounded to 4 decimal places? 0.0012 What is -0.01915 rounded to three dps? -0.019 What is -0.010947 rounded to 3 decimal places? -0.011 Round 3.2491 to 1 dp. 3.2 What is 0.000002984 rounded to 6 dps? 0.000003 What is -0.009037 rounded to three dps? -0.009 What is -0.00458 rounded to 4 dps? -0.0046 What is 0.00000055506 rounded to 7 dps? 0.0000006 Round -29.498 to the nearest integer. -29 What is -1461.83 rounded to the nearest one hundred? -1500 Round -0.812 to two dps. -0.81 What is 7210000 rounded to the nearest one million? 7000000 What is -0.000003884 rounded to 7 decimal places? -0.0000039 Round 114800 to the nearest 10000. 110000 Round -0.276 to 1 dp. -0.3 Round 533.12 to the nearest 10. 530 What is 3894100 rounded to the nearest 10000? 3890000 What is 0.001351 rounded to four dps? 0.0014 What is 5380 rounded to the nearest 100? 5400 Round -5.92 to zero decimal places. -6 What is -670.4 rounded to the nearest one hundred? -700 What is 146.04 rounded to the nearest 10? 150 Round -837.49 to the nearest one hundred. -800 Round -137 to the nearest ten. -140 What is 164202 rounded to the nearest 10000? 160000 Round -0.009477 to 4 decimal places. -0.0095 Round -0.000001507 to six decimal places. -0.000002 Round -0.000003519 to 7 decimal places. -0.0000035 Round 12847000 to the nearest 1000000. 13000000 What is 525.8 rounded to the nearest ten? 530 What is 22.8 rounded to the nearest 10? 20 What is 62.73 rounded to the nearest 10? 60 Round 3326.5 to the nearest 10. 3330 Round -0.0634231 to 2 decimal places. -0.06 Round -0.0000296713 to seven dps. -0.0000297 Round -109.71 to the nearest integer. -110 What is 0.00000289 rounded to 7 decimal places? 0.0000029 Round -0.006132 to three dps. -0.006 Round -426.79 to the nearest one hundred. -400 Round 1007200 to the nearest 10000. 1010000 Round 8100000 to the nearest one million. 8000000 Round -44.02 to the nearest integer. -44 What is 0.005455 rounded to three decimal places? 0.005 What is 673.97 rounded to the nearest 100? 700 What is 14786
{ "pile_set_name": "DM Mathematics" }
the third derivative of l**6/60 - 11*l**5/60 - 11*l**4/24 + 15*l**2. Let n(g) = -g**3 + 5*g**2 + 5*g. Determine 9*n(x) + 4*z(x). -x**3 + x**2 + x Let i(z) = z**2 - z + 1. Let t(k) = 3*k**3 + 4*k**2 + 2. Determine 2*i(s) - t(s). -3*s**3 - 2*s**2 - 2*s Let m(k) = 3*k + 8. Let b(j) = j + 1. What is 5*b(u) - m(u)? 2*u - 3 Let j(h) = 4*h + 3*h - 6*h - 2*h. Let f(x) = x**3 + x + 1. Give -f(v) - 3*j(v). -v**3 + 2*v - 1 Let w(r) = 7*r. Let t(c) = -11*c. Let g be (10/(-8))/(4/(-16)). Give g*t(z) + 8*w(z). z Let i(h) = 6*h - 6. Let p(k) = 5*k - 70. Let q be p(15). Let l(t) = -4*t + 4. Let v = 5 - -2. Calculate q*i(z) + v*l(z). 2*z - 2 Let y(s) = 2*s**3 + 0*s**3 - 4*s - 3*s**3. Let x(z) = z**2 + 2*z + 3. Let a be x(-4). Let p(r) = -3*r**3 - 11*r. Let o = 2 + -6. Give a*y(q) + o*p(q). q**3 Let f(w) = -6*w**3 + 7*w**2 - 7*w + 6. Let v(z) be the first derivative of z**4/4 - z**3/3 + z**2/2 - z - 2. Let u = 45 + -59. What is u*v(m) - 2*f(m)? -2*m**3 + 2 Let z(t) = -3*t**2 + 2*t + 2. Let i(b) = -5*b**2 + 5*b + 5. Let a(f) = -f**2 - 5*f + 29. Let x be a(-8). What is x*z(j) - 2*i(j)? -5*j**2 Let g be (14/(-3))/(4/6). Let b = 10 + -4. Let f(x) = 6*x + 1. Let t(l) = 5*l + 1. Give b*f(k) + g*t(k). k - 1 Let c(a) = a**3 + 2*a**2 + 2*a. Let b(v) = 3*v**2 + 3*v. Calculate 2*b(p) - 3*c(p). -3*p**3 Let q(b) be the third derivative of -b**4/24 + b**3/2 - b**2. Let f(d) = 1. Suppose 0*k = -k + 2. Give k*q(c) - 5*f(c). -2*c + 1 Let n be -1 + 2 - 1 - -2. Let b be (0 + -1)*-1*n. Let c(k) = b - 7 - 1 - 4*k. Let a(p) = 3*p + 5. Give -5*a(s) - 4*c(s). s - 1 Let f(h) = 20*h + 6. Let x(m) = -7*m - 2. Suppose -3*l = -2*l + 17. What is l*x(k) - 6*f(k)? -k - 2 Let b(q) = -3*q**3 + 4*q. Let y = -1 + 0. Let s be 6 + y - 0/(-3). Let n(x) = 4*x - s*x**3 + 3*x + 0*x. Calculate 7*b(p) - 4*n(p). -p**3 Let v(b) = b**3 + b**2 + 2*b + 1. Let l be 12/(-10) - 2/(-10). Let y(k) = k**2 + 1. Let h be (1*-1)/(0 + -1). Calculate h*y(w) + l*v(w). -w**3 - 2*w Let i(v) = v**3 - v. Let d(j) = 7*j**3 - 6*j. Determine d(p) - 4*i(p). 3*p**3 - 2*p Let j(c) = -c + 1. Let v(f) = 32*f - 4. What is -2*j(m) - v(m)? -30*m + 2 Suppose 2*j - 33 = -5. Let h(m) = 3*m**2 - m**3 - 2*m**2 - 3 + m**2. Let n(y) = 4*y**3 - 7*y**2 + 10. Suppose -5*p = -4*p - 4. Give j*h(s) + p*n(s). 2*s**3 - 2 Let j(g) = 5*g**2 - 4*g + 8. Let o(z) = -z**2 + z - 1. Let d = 66 - 33. Let l be (-4)/(-22) + (-39)/d. Determine l*j(a) - 6*o(a). a**2 - 2*a - 2 Suppose 4*s = 6*s - 4. Let v be s/(-12) + 39/18. Let j(h) = -4 + 1 - 3*h**2 - h**3 - h**v. Let l(x) = -2*x**3 - 6*x**2 - 5. Give -8*j(q) + 5*l(q). -2*q**3 + 2*q**2 - 1 Let b(n) = n**2 + 7*n - 7. Let h(g) = -1. Calculate b(t) - 6*h(t). t**2 + 7*t - 1 Let r(m) = m**2 - m + 1. Let f(i) = -13*i**2 + 2*i - 2. Give -f(g) - 2*r(g). 11*g**2 Let h(f) = -f**3 - f**2 + f - 3. Let d(g) = -g**3 - g**2 + 1. Let j(c) = 3*c**3 + 3*c**2 + c - 10. Let v(t) = -5*d(t) - j(t). Calculate -5*h(b) - 3*v(b). -b**3 - b**2 - 2*b Let u(t) be the second derivative of -t**3 + 5*t**2/2 + t. Let h(o) = 2*o - 2. Let s(c) = -c + 1. Let x be s(5). Calculate x*u(d) - 11*h(d). 2*d + 2 Let v(u) = u. Let n(f) be the first derivative of -7*f - 7 + 1 + 8*f. Give 2*n(w) + 3*v(w). 3*w + 2 Let m(j) = -2. Let b(d) = -d - 10. Determine 2*b(l) - 11*m(l). -2*l + 2 Let k(b) = -b. Let r(t) = -4*t. Suppose 0*l - 4*l + 49 = -5*m, 4*l = -5*m - 1. Determine l*k(z) - r(z). -2*z Let i(w) = w**3 - 2*w**2 + 2*w. Let s be 12/9*(-3)/(-1). Suppose -2 - 8 = -3*z - s*j, 5*z - 5 = 5*j. Let k(o) = -o**3 + o**2 - o. Give z*k(d) + i(d). -d**3 Let i(d) be the third derivative of -3*d**2 + 0 - 5/6*d**3 - 1/24*d**4 + 0*d. Let u(v) = -2*v - 9. Determine 7*i(z) - 4*u(z). z + 1 Let o(r) = 18*r**3 + 3*r + 12. Let p(n) = 9*n**3 + 2*n + 6. Let i(c) = -4*o(c) + 9*p(c). Let b(t) = -t**3 - t - 1. What is 6*b(d) + i(d)? 3*d**3 Let w(u) = 3*u - 8*u + 17*u - 7*u. Let k(z) = -z. Give -6*k(g) - w(g). g Let p(a) = -5*a**2 - 2*a - 1. Let k(d) = -d**2. Suppose -3*r + 13 = 5*h, 4*h + 0 - 8 = 0. Calculate r*p(q) - 6*k(q). q**2 - 2*q - 1 Let k = 13 + -19. Let r(f) be the third derivative of f**4/24 + f**2. Let b(o) = -8*o. What is k*r(p) - b(p)? 2*p Let j(i) = 4*i**2 - i - 1. Suppose 3 = 4*v - 5. Let a(m) = -17*m**2 + 4*m + 4. Calculate v*a(u) + 9*j(u). 2*u**2 - u - 1 Let m(z) = 4*z**3 + 7*z + 7. Suppose -u + 4 = -0*u. Let r(q) = q**3 + 2*q + 2. Determine u*m(p) - 14*r(p). 2*p**3 Suppose 0 = -2*d + 4*d - 2. Let s(m) = -m + 1. Let k(y) = -5*y + 5*y + 1 - y. What is d*k(o) - 2*s(o)? o - 1 Let w(n) = 7*n - 7*n - 5 + 7*n**3 - 6*n**3. Let p(t) = 2*t**3 - 6. What is 5*p(m) - 6*w(m)? 4*m**3 Let j(c) = 2*c - 2. Let r(h) be the third derivative of h**4/24 - h**3/6 - h**2. Let i be r(0). Let f(g) = -2 + 0 + 3. Give i*j(s) - f(s). -2*s + 1 Suppose -3*m + 3*n + 6 = 0, 0 = 2*m + 3*n - 27 + 8. Let b(v) = 9*v + 2. Let a(p) = 13*p + 3. Determine m*a(d) - 7*b(d). 2*d + 1 Let n(t) = t**2 - t + 1. Let v(r) = 5*r**2 - 3*r. Give -4*n(i) + v(i). i**2 + i - 4 Let d = 17 - 14. Suppose -4 = y + d*y. Let t(p) = p. Let u(f) = f**2 + f - 1. Give y*u(k) + t(k). -k**2 + 1 Let k(b) = 135*b + 55. Let q(w) = -5*w - 2. Suppose 3 = -2*z + 7, -h = -3*z + 61. Determine h*q(t) - 2*k(t). 5*t Let o(p) = -24*p**2 + 6*p + 11. Let u(j) = 4*j**2 - j - 2. What is 6*o(m) + 34*u(m)? -8*m**2 + 2*m - 2 Let p(l) = -168*l. Let h(d) = 13*d. Calculate -77*h(t) - 6*p(t). 7*t Let d(o) be the first derivative of 3*o**4/4 - 5*o**3/3 + 5*o + 14. Let w(f) = -2*f**3 + 3*f**2 - 3. Give -3*d(r) - 5*w(r). r**3 Let m(d) = d**2 - 3*d - 2. Let v be m(6). Suppose 0 = -3*r - s - 19, -2*r - 3*s = s + v. Let w(p) = 7*p**2. Let f(q) = 15*q**2. Calculate r*f(g) + 13*w(g). g**2 Let v(i) be the third derivative of i**5/30 - 7*i**3/6 + 10*i**2. Let x(p) = -p**2 + 4 - 1 + 1. What is 3*v(n) + 5*x(n)? n**2 - 1 Let i(g) = -19*g - 10. Let o(p) = 37*p + 19. Calculate -11*i(b) - 6*o(b). -13*b - 4 Let f(v) = 20*v - 20. Let c(i) = 7*i - 7. Suppose -5*t = -4*n + 76, 6*n - 9*n + 26 = 4*t. Give n*c(u) - 5*f(u). -2*u + 2 Let z(a) = -63*a - 10. Let q(f) = -3434*f - 544. What is -5*q(s) + 272*z(s)? 34*s Let x(l) = 7*l + 5. Let t(d) = d + 4. Let f(j) = 2*j + 4. Let r(w) = 5*f(w) - 4*t(w). Determine 5*r(a) - 4*x(a). 2*a Let b(m) = 6*m + 0*m**2 - 9 - 2*m**2 + 3*m. Suppose -34 = 4*y + 2. Let n(f) = -f**2 + 4*f - 4. Give y*n(q) + 4*b(q). q**2 Suppose 3*q - 7*q + 3*l = 7, -5*q + 4*l = 10. Let z(s) = -4*s - 1 + s - 1. Let k(p) = -4 + 2 + 9 + 10*p. What is q*k(d) + 7*z(d)? -d Let l(b) = 1 - b + 0*b + 0. Let f be 10/2 + 0/4. Let v(h) = -h + h + 7 - 3*h - h. Give f*l(p) - v(p). -p - 2 Let l(t) = -4*t + 94. Let b(i) = 3*i - 94. Calculate 6*b(k) + 5*l(k). -2*k - 94 Let p(z) be the first derivative of 5*z**2/2 + z - 2. Let x(l) = -6*l - 1. Let o be -7 - -1*(-12)/(-4). Calculate o*x(f) - 5*p(f). -f - 1 Let j(v) = -5*v**3 + 5 - 5*v + 3*v**2 + v**3 - 8. Let s(u) be the first derivative of 3*u**4/4 - 2*u**3/3 + 2*u**2 + 2*u + 1. Give 2*j(o) + 3*s(o). o**3 + 2*o Let w(x) = -4*x - 8. Let s(t) = 2*t + 4. Give 7*s(g) + 4*w(g). -2*g - 4 Let g(v) = 112*v**2 + 5*v. Let j(n) = 280*n**2 + 12*n. Calculate 12*g(w) - 5*j(w). -56*w**2 Let j(b) = 5*b - 5. Let c(i) = 2*i - 2. Let t(f) = 7*c(f) - 3*j(f). Let z(g) = 3*g - 3. Let a be 64/(-6) - 1/3. Give a*t(l) - 4*z(l). -l + 1 Suppose 3 + 8 = b. Let w(r) = 5*r**3 + 10*r**2 + 11*r + 10. Let o(f) = -f**3 - 2*f**2 - 2*f - 2. Give b*o(p) + 2*w(p). -p**3 - 2*p**2 - 2 Let l(u) = u**3 + 3*u**2 - 2*u - 1. Let g(n) = n**3 + 2*n**2 - n. Suppose -5*z = f + 10, z + 0*f + f - 2 = 0. What is z*g(j) + 2*l(j)? -j**3 - j - 2 Let p(l) = 5*l - 7. Let o(i) = 3*i - 11. Let t(c) = c + 1. Let n(w) = o(w) + 3*t(w). What is -3*n(x) + 4*p(x)? 2*x - 4 Let u(r) = -22*r. Let a(q) = 9*q. Let v = 3 - -8. Let t = v - 16. Determine t*u(s) - 12*a(s). 2*s Let b(h) = 24*h**2 + 33. Let d(m) = 3*m**2 + 4. What is 4*b(i) - 33*d(i)? -3*i**2 Let z(o) = -4*o**2 - 6*o - 10. Let k(w) = w**2 + 2*w + 3. Let a = -20 - -25. Suppose 2 = a*l - 8. Determine l*z(y) + 7*k(y). -y**2 + 2*y + 1 Let a(n) = 7*n + 3. Let j(y) = 10*y + 1. Let f(p) = -10*p - 2. Let r(s) = -6*f(s) - 4*j(s). Suppose 0 = -4*k + 32 + 24. Give k*a(m) - 5*r(m). -2*m + 2 Let i(a) = 2*a + 5. Let d(u) = u**3 + u + 4. What is -5*d(y) + 4*i(y)? -5*y**3 + 3*y Let j(x) = x**3 - 4*x**2 - x - 1. Let v be j(2). Let n(g) = -5*g**2 + 5*g.
{ "pile_set_name": "DM Mathematics" }
Let y be -1 - (2/2 + -6). Suppose -5*k = 3*u - 10, -3*k - 2 = -y*k + u. Solve k*o = -3*o - 25 for o. -5 Let i(h) = -h**3 - 2*h**2 + h - 3. Let j be i(-3). Solve j*q - 4 = -q for q. 1 Let w = -10 + 15. Let g be 1/9 + 255/135. Solve g*m = w*m for m. 0 Let l be (-40)/(-8)*6/10. Solve -l*f - 3 + 9 = 0 for f. 2 Let x(n) = n**3 + 4*n**2 + 2*n + 4. Let v be x(-3). Suppose 5 = -4*b + 13. Let j(f) = 6*f - 3. Let a be j(b). Solve -a - v = 4*c for c. -4 Let v = -1 - -5. Let i be (-17)/(-4) - 7/28. Solve 8 = i*u - v for u. 3 Suppose 7*y = 3*y. Suppose 5*u + 8 = 73. Let f = u + -9. Solve y = -7*g + f*g - 6 for g. -2 Let r be ((-3)/(-6))/((-1)/(-10)). Solve -r*x = 12 + 8 for x. -4 Let h(i) = -i + 7. Let q be h(5). Let d(l) = -l**3 - 6*l**2 + 7*l + 3. Let s be d(-7). Let b(v) = v**2 + 5. Let t be b(0). Solve t = -q*k + s*k for k. 5 Suppose -b = 4*l - 10, -5*l - 2*b + 8 + 3 = 0. Let f be (15/2)/((-3)/(-6)). Solve -l*c - 2*c = f for c. -3 Let n = -23 + 27. Solve b = n*b - 9 for b. 3 Suppose -5*d + 3 = -22. Solve 0 = a + 3 - d for a. 2 Let t = -4 - -25. Let o = t + -21. Solve o*w + 2*w - 4 = 0 for w. 2 Suppose -2*j = 2*c, -3*c + 3*j = -8*c + 4. Solve -9 = c*s + 1 for s. -5 Suppose -l + 1 = 9. Let z(i) = -2*i - 6. Let q be z(l). Solve 5*p = -q - 5 for p. -3 Suppose 0 = 3*x - x - 8. Suppose -4*n = -n + 6, x*n = c - 9. Suppose m = -3*j - c, -1 = -5*m - 21. Solve -7 = -4*t + j for t. 2 Let a(k) = k**2 - 5*k - 36. Let l be a(9). Solve l - 3 = m for m. -3 Suppose -5 = 4*a - 13. Suppose -4*x + 10 = -a*x. Solve -1 = x*h + 4 for h. -1 Let b be 3850/182 + 4/(-26). Let v(u) = -u**3 - 4*u**2 + 2*u + 3. Let l be v(-3). Let m = b + l. Solve -3 = -4*y + m for y. 3 Let x(v) = -2*v - 3. Let w(h) = h**2 - 7*h + 3. Let k be w(6). Let d be x(k). Solve -d*y + y = 2 for y. -1 Let w = 3 + 2. Let g(t) = t**3 - 6*t**2 + 6*t - 1. Let a be g(5). Solve a = -o + w for o. 1 Suppose 0 = 5*v + 9*v - 28. Solve -3*r + 25 = v*r for r. 5 Suppose t - 3*t = -4. Let j = t + -2. Let k be (-3)/5*10/(-2). Solve -k*q + j = 3 for q. -1 Let z = -1 - -5. Suppose z*s - 4*k = -0*k - 4, -k = -1. Solve 7*f - 5*f + 6 = s for f. -3 Suppose -3*l - 1 = -10. Let x(v) be the first derivative of v**3/3 - v**2/2 + 6*v - 6. Let s be x(0). Solve 0*r = l*r - s for r. 2 Let h be (1 + 44/(-6))*-3. Let y(j) = -j**3 - 6*j**2 - 3*j - 5. Let z be y(-6). Let s = h - z. Solve -b + 4*b - s = 0 for b. 2 Let u be ((-3)/2)/(1/(-4)). Let t(b) = b**3 - 5*b**2 - 5*b - 4. Let a be t(u). Let c(d) = -d**2 + 5*d + 2. Let i be c(5). Solve -q + i*q = -a for q. -2 Suppose 5*j + t - 14 = 5*t, 3*j - 2*t = 10. Suppose -x + j = x. Let r be 2/((8/36)/(20/45)). Solve -p = -x*p - r for p. -2 Suppose 22 = 4*x + 6. Let m = 6 - 0. Let c be (5 - m) + 4 + 1. Solve x = -c*s - 16 for s. -5 Suppose -4*m + 5*k + 15 = 0, -m - 1 = -3*k - 3. Solve -m*b = -11 + 1 for b. 2 Let r(w) = -2*w**2 + 3*w + 2. Let a be r(3). Let p = a + 8. Solve n - 2 = -p for n. 1 Let h(l) = -l**3 - 6*l**2 - 6*l - 2. Suppose -5*k + 0*k - 4*n - 17 = 0, -3*n = k - 1. Let p be h(k). Solve p*d - 2*d = -3 for d. -3 Suppose 4*r - 4*p + 3*p = 22, -8 = 4*p. Solve r*f = f + 16 for f. 4 Let k(w) = -w**3 + w**2 + 4*w - 3. Let i be k(2). Let s = -1 + i. Suppose q + q = s. Solve 4*v = -q*v for v. 0 Suppose 5*t + 15 = -5*x, 4*t + 0*t = -5*x - 17. Solve 0 = -t*y + 6 - 14 for y. -4 Suppose -3*z = 4*s - 8*s - 19, -4*z + 5*s = -26. Suppose -z*i = -6*i. Let o = -5 - -11. Solve i = b - o*b + 20 for b. 4 Let y be (-146)/(-12) - 1/6. Let u be 1/((y/(-32))/(-3)). Solve -3*b + b + u = 0 for b. 4 Let w(v) = -5*v**3 + 6*v - 2. Let n(a) = -1 + 0*a**3 + a**3 - a**2 - a + 2*a**2. Let g(c) = 4*n(c) + w(c). Let t be g(4). Solve -t*p = -p for p. 0 Suppose -5*t = -4*s, 0*s = -s - t + 9. Solve 2 = l + s for l. -3 Let q = 106 + -104. Solve z = -z + q for z. 1 Let u = -47 - -23. Let b = -18 - u. Solve 5*i - 1 = -b for i. -1 Let y be (3 - 1)*(15 - 13). Let j be (0 - -1) + 4/1. Suppose -q - 19 = -2*a, 9*a - 60 = y*a + j*q. Solve 5*l + a = 2 for l. -1 Suppose -3*j + 22 = -0*j - n, 0 = 5*j + 3*n - 18. Let s(f) = f**2 - 7*f + 9. Let t be s(j). Solve 0 = 2*p + t*p + 15 for p. -3 Let q = 37 - 22. Suppose 3*d - 3*a + 6*a = -3, -3*a = 12. Suppose 19 = 4*w + s, 3*s - 2 = -17. Solve -d*c = -w*c + q for c. 5 Let r(w) = w**2 + w - 5. Let q be r(-4). Solve q*z - 2*z - 15 = 0 for z. 3 Let j(b) = -b**3 + 4*b**2 - 4. Let z be j(3). Suppose 0*v - 20 = -z*v. Suppose 4*w + 0 = v. Solve -19 - w = -5*p for p. 4 Suppose -q = -0*q + 3*g + 13, 87 = -5*q - 4*g. Let a be (q/57)/(1/(-9)). Solve 7*m = a*m for m. 0 Let h(n) be the first derivative of n**3 + 3*n**2/2 + 6. Let r be h(-2). Solve 3*i - 18 = -r for i. 4 Let y be -21*(-8)/12 - -1. Let t = y + -14. Solve 0 = 2*j - 5 + t for j. 2 Let s = -3 + 6. Let r be 3/(-6) - (-18)/4. Suppose 3*g + r - 7 = -s*a, 5*g - 35 = 5*a. Solve 4*q + g = 2*q for q. -2 Let a(k) = k**3 + 10*k**2 + 9*k. Let m be a(-9). Solve 3*o + 0 - 6 = m for o. 2 Suppose 0 = 2*g - 29 - 1. Solve w - g = -2*w for w. 5 Let t(l) = 6*l - 42. Let u be t(7). Solve u*b = 2*b for b. 0 Suppose 9*j - 7*j - 10 = 0. Solve j*o + 15 = -0*o for o. -3 Suppose -14*b + 25 = -9*b. Solve -3*z - b = 1 for z. -2 Suppose 2*p = 3*q - 20, q - 6 = 3*p + 10. Suppose -t - t + 4*d - 2 = 0, t - 17 = -q*d. Solve -t = -4*k - 1 for k. 1 Suppose u + 9 = 4*g, 0*u - 2*u = g. Let n be (2 - 4)/(4/(-22)). Suppose -4*l + n = 2*d + 3, 0 = -d - 3*l + 6. Solve d = 5*x - g*x + 6 for x. -2 Let x = 4 + 0. Suppose x*n + 2 = 18. Solve -g + n = 6 for g. -2 Let o(v) = -2*v**3 - 3*v**2 + v + 2. Let t be o(-2). Suppose -7*z + z = -18. Suppose 0 = -p - z + t. Solve -k = -p + 4 for k. -3 Suppose -g - g + 16 = 0. Solve 0*y - g = -4*y for y. 2 Let z be (5 - -9) + -2*(-2)/(-2). Solve 2*j = -j - z for j. -4 Suppose 5*i + 5*q - 10 = 0, 2*i - 9 - 9 = 5*q. Solve -m - i*m - 10 = 0 for m. -2 Let d(h) = -h**3 - h**2 + h - 1. Let t(p) = -3*p**3 + 3*p**2 + 9*p. Let a(n) = -2*d(n) + t(n). Let q be a(6). Let g = -1 + q. Solve -5*i = -3 - g for i. 2 Suppose -3*r + 8 = -2*r - 2*b, -r = 3*b + 2. Solve -2*z = -0*z + r for z. -2 Let o(k) = -k + 5. Let q be o(0). Suppose 0 = 5*v + q, 5*v = -2*y - 7 - 0. Let i = y + 4. Solve 0 = 2*g - i*g + 5 for g. 5 Suppose 0 = -3*d + 7 - 4. Let a be 5 + -2 - 1 - 1. Let g = a - d. Solve -t + g*t = 0 for t. 0 Let s be -3*-2*4/8. Solve -h = s*h + 4 for h. -1 Suppose 10 = 4*w + f, -3*f = 4*w - 7 - 7. Solve 9*a = 8*a + w for a. 2 Let t = -24 + 25. Solve s = 2 + t for s. 3 Let v be (-12)/(-8)*(-4)/3 - -4. Solve -5 = -3*b - v for b. 1 Let o(n) = -n**3 + 7*n**2 + 3*n - 15. Let t be o(7). Solve g + t = 1 for g. -5 Let n be (-3 + (-5)/(-2))*-20. Suppose 0 = -5*h - 5*r + 4*r + 5, h = -2*r + n. Solve 3*v - 5*v = h for v. 0 Let c be (4/3)/((-2)/6). Let w = c + 4. Let b be (1/(-3)*w)/(-1). Solve b = 5*k - 19 - 1 for k. 4 Suppose v + 0*v = -5, 3*u = -3*v - 6. Solve 3*o = 12 + u for o. 5 Suppose 4*i = -s + 3 + 5, -2*i = -3*s - 4. Suppose -5*p + 20 = -s*p. Let l = -1 - -1. Solve l*c + p = 4*c for c. 1 Let y(p) = -2*p**3 - 1 + 4*p**3 - 4*p**2 + 5*p**2. Let m be y(1). Suppose -m*x = -x. Solve r + x*r + 2 = 0 for r. -2 Suppose -7*u = -3*u. Suppose u*q + 8 = 2*q. Solve -q = o + o for o. -2 Let a(s) = -4*s + 2 + 2*s + 3*s. Let i be a(7). Solve -4*r - i = -r for r. -3 Let a(r) = r**3 + r**2 - r + 1. Let f = 0 + 1. Let z be a(f). Solve -z - 7 = 3*h for h. -3 Let a(t) = -t + 5. Let j be a(0). Suppose -63 = -5*o + 2*o + 3*n, 5*o = 4*n + 107. Suppose 0*y + 13 = 3*f - y, -f + 5*y = -o. Solve -2*c = -f*c + j for c. 5 Suppose 0 = 15*w - 24 - 36. Solve w*c = 9 + 11 for c. 5 Let y(s) = -s + 12. Suppose 0 = l - 1 - 8. Let w be y(l). Solve -12 + w = 3*v for v. -3 Let o = 0 + 0. Let x(v) = -v**3 + 14*v**2 + 2. Let h be x(14). Suppose h*f - 4 = 3*f, 5*f + 10 = -2*i. Solve -i = -o*z - 5*z for z. 1 Let q(a) be the third derivative of a**6/120 + a**5/15 + 2*a**3/3 - 4*a**2. Let m be q(-4). Solve r + m*r = 0 for r. 0 Let u(m) = 2*m**3 - 2*m**2 + m. Let g(t) = -t**3 - 4*t**2 - 2*t + 1. Let c be g(-4). Let z be 6/(-4)*(-6)/c. Let x be u(z). Solve -14 = -3*s + x for s. 5 Let g(j) = -j - 10. Let h be g(-15). Solve h*s = -0*s for s. 0 Let m be (1 - (-27)/3) + 4. Let z = -8 + m. Solve z*f = 2*f for f. 0 Suppose -3*b + 6*b + 3*m - 3 = 0, 3*m = -b + 9. Let o = 3 + b. Let z be (-1 - -4)/((-3)/(-4)). Solve o*v = v
{ "pile_set_name": "DM Mathematics" }
*n**2 + 10*n + 2. Let i be j(f). Differentiate -106*u + 50*u + 56*u - u**i + 23 wrt u. -2*u Let k(g) = g**3 + 20*g**2 + 19*g + 2. Let t be k(-19). What is the third derivative of -26*f + f**4 + 3*f**3 + 4*f**3 + 66*f**t + 26*f wrt f? 24*f + 42 Let j(a) = 226*a - 899. Let o be j(4). Suppose 5*n = -0*n + 25. Find the third derivative of -3*i**n - 9*i**o + 13*i**2 + 0*i**5 + 13*i**5 wrt i. 60*i**2 Let z(u) be the first derivative of 13507*u**2/2 + 144*u - 12720. Find the first derivative of z(t) wrt t. 13507 Let s(q) = -215*q**3 - 3*q**2 - 1178*q - 6. Let t(a) = 428*a**3 + 7*a**2 + 2357*a + 13. Let b(f) = -13*s(f) - 6*t(f). Find the second derivative of b(w) wrt w. 1362*w - 6 Find the first derivative of 193*s**2 + 7*s**2 + 512*s**2 - 2028 - 79*s**2 + 12*s**2 wrt s. 1290*s Let b(h) = 4*h - 3*h - 163 + 202 + h. Let x be b(-18). What is the derivative of 2 + 3 + 10*f - 8 - x wrt f? 10 Let u = -58 + 73. Let r be (u + -11)/((-2)/(-1)). Differentiate 4 - 3*v - r*v - 2*v + 6*v with respect to v. -1 What is the second derivative of 3998*w - 5174*w + 140*w**3 + 2*w**2 + 32*w**3 wrt w? 1032*w + 4 Let h(z) = 3*z - 5. Let t(f) = -6*f + 11. Let c(v) = 13*h(v) + 6*t(v). Let a be c(2). Differentiate 4 + a - 2 - 3 + 20*l**3 wrt l. 60*l**2 What is the third derivative of 213*s**3 + 698*s**2 + 2*s**4 - 4*s**4 + 214*s**2 - 30*s**3 wrt s? -48*s + 1098 What is the derivative of -129*x - 3676*x**4 - 507 + 186*x - 57*x wrt x? -14704*x**3 What is the third derivative of -327*a**3 - 129*a**2 + 528*a**3 + 814*a**3 - 921*a**2 wrt a? 6090 Let q be 40/6*(189/18)/7. Let x be -3*(q/(-6) - -3)*-4. What is the second derivative of 23*s**5 - 23 - x + 39 + 8*s wrt s? 460*s**3 Let d(x) be the second derivative of 71*x**6/30 + 11*x**2/2 - 897*x. What is the first derivative of d(r) wrt r? 284*r**3 Find the third derivative of b**5 + 87237*b**2 + 2*b**4 + 1290*b**3 - 2*b**4 - 83497*b**2 wrt b. 60*b**2 + 7740 Let w = 103/30 + -13/5. Let z(u) be the second derivative of 0*u**2 + 22*u + 0 - w*u**4 + 10/3*u**3. What is the second derivative of z(k) wrt k? -20 Let s(q) = -664*q**2 - 38*q + 11124. Let x(t) = 330*t**2 + 18*t - 5563. Let h(p) = -4*s(p) - 9*x(p). Find the first derivative of h(o) wrt o. -628*o - 10 Let s be ((-2)/6)/(1021/(-102) - -10). Find the first derivative of 4*n - s*n - 34*n + 56 - 37*n wrt n. -101 Suppose 93 = y + 91. What is the derivative of 34*o**y - 5*o**2 + 54 - 154 wrt o? 58*o Find the second derivative of 41 - 6*k**3 - 2*k**3 + 753*k**2 - 289*k**2 - 333*k**2 - 4*k wrt k. -48*k + 262 Find the second derivative of 54*b**2 + 794*b**2 + 450 - 450 + 25*b - 1541*b wrt b. 1696 Let z(b) be the second derivative of 54*b + 0 - 155/6*b**3 - 149/2*b**2. What is the first derivative of z(d) wrt d? -155 Let d(v) be the first derivative of 2711*v**6/2 - 4545*v**2/2 + v - 6586. What is the second derivative of d(y) wrt y? 162660*y**3 Let y(r) be the third derivative of 242*r**5/15 - r**4/8 + 65*r**3/6 - 207*r**2 + 2. Find the second derivative of y(g) wrt g. 1936 Let z(x) be the first derivative of 49*x**4/6 + 47*x**2 - 57*x - 16. Let y(f) be the first derivative of z(f). Find the first derivative of y(j) wrt j. 196*j Let s(l) = -119*l**3 + 148*l**2 + 4*l + 8. Let t(d) = 119*d**3 - 147*d**2 - 3*d - 6. Let k(z) = -3*s(z) - 4*t(z). What is the third derivative of k(i) wrt i? -714 Let g(i) = i**3 + i**2 - i - 2. Let b(m) = -308*m**4 - 2*m**3 - 6*m**2 + 246*m + 4. Let q(y) = b(y) + 2*g(y). Find the third derivative of q(f) wrt f. -7392*f Let h(q) be the first derivative of q**4/4 + 397*q**3/3 + 535*q**2/2 - 192. What is the second derivative of h(m) wrt m? 6*m + 794 Let k(o) be the third derivative of -5*o**8/168 + 4*o**7/105 + 97*o**5/30 - 1163*o**2. Find the third derivative of k(n) wrt n. -600*n**2 + 192*n Let h(m) = 356*m - 2070. Let n(u) = 339*u - 2072. Let s(k) = 3*h(k) - 4*n(k). Differentiate s(q) with respect to q. -288 Find the third derivative of -2908 - 691 - b**2 + 8273*b**4 + 1419 wrt b. 198552*b Let l(k) be the second derivative of -2 + 0*k**5 + 0*k**3 - 3*k + 11/2*k**2 + 0*k**4 - 37/30*k**6. Differentiate l(t) wrt t. -148*t**3 Let p be (-51)/17 - (-25 + 0). Suppose -50 = -4*u + 5*c, 0*c = 4*u + c - 62. What is the second derivative of -38*a + p*a**5 + 11*a + u*a wrt a? 440*a**3 Suppose -6*q = -4*q - 4. Let f be ((-8)/28)/(q/(-14)). Find the third derivative of -336*v**2 - 3 + 39*v**6 + 3 + 380*v**f wrt v. 4680*v**3 Let n(j) be the second derivative of 4229*j**6/10 - j**5/10 - 4027*j**4/12 + 32*j + 126. What is the third derivative of n(v) wrt v? 304488*v - 12 Let d(p) be the second derivative of 1196*p**6/15 - 11*p**4/12 + p**3/2 - 73*p**2/2 - 14737*p. What is the third derivative of d(z) wrt z? 57408*z Let l(c) = -c**2 + 27*c + 47. Let o be l(28). Suppose -2*i = -7 - o. Find the second derivative of -y + 49*y**2 + i + 3 - 14 + 14 wrt y. 98 Suppose 0 = 5*r + 5*c - 70, 6*r - 2*r = 4*c + 72. Find the first derivative of 234*o**3 + 70 + 2*o**2 - 119*o**3 - 108*o**3 - 2*o**2 - r*o**4 wrt o. -64*o**3 + 21*o**2 Differentiate 2591 + 94*w**2 + 280*w**4 - 138*w**4 - 95*w**2 - 19*w - 138*w**4 wrt w. 16*w**3 - 2*w - 19 Let t = 12529 - 12529. Let a(z) be the first derivative of 10/3*z**3 + 0*z**4 + 14/5*z**5 + 0*z**2 - 28 + t*z. What is the third derivative of a(p) wrt p? 336*p Suppose 8*m - 13*m + 20 = 0. Let b be 264/28 - m/(-7). What is the third derivative of -5*o + 3*o**4 + b*o**4 + 5*o - 7*o**2 wrt o? 312*o Let i(j) be the second derivative of 1/10*j**6 + 7*j**3 + 0 + 15*j + 0*j**2 - 13/6*j**4 + 0*j**5. What is the second derivative of i(u) wrt u? 36*u**2 - 52 Let u(j) be the second derivative of 2437*j**7/42 + 2243*j**4/6 + 3270*j. Find the third derivative of u(n) wrt n. 146220*n**2 What is the third derivative of -1851*c**3 - 70 + 9*c**2 - 11 + 4*c**2 + 703*c**3 - 3734*c**3 wrt c? -29292 Let i be 104/6 + (-5)/(75/(-10)). Let a be 4/i - (-102)/27. Find the second derivative of 21*c**a - 10*c**4 - 21*c + 3*c**2 - 3*c**2 wrt c. 132*c**2 Let f(o) = 9*o**2 + 5*o + 3. Let v be f(-4). Let i be 7/28*-10*(1 + -3). What is the third derivative of 127*p - 14*p**i + 15*p**2 - v*p wrt p? -840*p**2 Let c(p) be the third derivative of 307*p**5/6 - 235*p**3 + 45*p**2 - 2. Find the first derivative of c(y) wrt y. 6140*y Find the second derivative of -4*g**4 - 3*g**4 - 4*g**2 - 8888*g - 14*g**2 + 4*g**4 + 8363*g wrt g. -36*g**2 - 36 Let h(l) = -4*l - 22. Let v be h(-9). Let s(i) = 2*i. Let o be s(2). What is the derivative of -v + 31 - o*k + k wrt k? -3 What is the third derivative of 3*n - 4*n**4 - 2*n - 1806*n**2 + 849*n**3 - 880*n**3 wrt n? -96*n - 186 Let s(v) = 5446*v**3 + 2*v**2 + 37*v + 71. Let g(q) = 5447*q**3 + 3*q**2 + 37*q + 113. Let m(y) = 2*g(y) - 3*s(y). What is the second derivative of m(k) wrt k? -32664*k Let b = 195 - 193. Find the third derivative of -1 - 3917*v**3 + 3838*v**3 + 2 - b*v**4 - 5*v**2 wrt v. -48*v - 474 Let t(b) = -3*b**2 + b + 1. Let h(o) = 7*o**2 + 660*o - 292. Let v(x) = -h(x) - 3*t(x). Differentiate v(r) with respect to r. 4*r - 663 Let l(a) be the third derivative of -12*a**2 - 1/15*a**5 - 1/30*a**6 + 1/2*a**3 + 0*a - 2 - 5/12*a**4. Find the second derivative of l(b) wrt b. -24*b - 8 Let x(p) be the first derivative of 1563*p**4/4 + 3206*p + 2182. What is the derivative of x(d) wrt d? 4689*d**2 Let q(b) be the third derivative of 652*b**9/63 + b**7/105 - b**5/30 - 17*b**4/24 + 11*b**3/6 + 579*b**2 + b + 1. Find the third derivative of q(u) wrt u. 625920*u**3 + 48*u Let o(k) = -804*k + 75. Let f(y) = 804*y - 71. Let v(s) = -4*f(s) - 3*o(s). Differentiate v(h) wrt h. -804 Let g(v) be the first derivative of -43*v**4 - v**3/3 + 3*v**2/2 - 6876*v + 5435. Find the first derivative of g(w) wrt w. -516*w**2 - 2*w + 3 Let r(g) = 13*g**2 - 11. Let a(y) = -y**2. Let p = -50 + 44. Let z be p/((-35)/(-10) + -2). Let l(f) = z*a(f) - r(f). Differentiate l(v) with respect to v. -18*v Let j(f) = 790*f**3 + 38*f**2 - 8. Let g(t) = 264*t**3 + 13*t**2 - 3. Let v(x) = -14*g(x) + 4*j(x). Find the third derivative of v(c) wrt c. -3216 Let w = -57 - -63. Find the third derivative of -113 + 136 - 20*i**6 + 2*i**2 - 7*i**w wrt i. -3240*i**3 Suppose -4*d - 5*o = -2*d - 6, 0 = -o. Suppose 1 + 15 = -4*p - 4*j, 12 = -d*j. What is the derivative of -164 + 141 + 3*x**4 + p*x
{ "pile_set_name": "DM Mathematics" }
reds digit of 1337? 3 What is the units digit of 3621? 1 What is the units digit of 14735? 5 What is the tens digit of 36302? 0 What is the tens digit of 18530? 3 What is the tens digit of 2398? 9 What is the tens digit of 2757? 5 What is the hundreds digit of 3462? 4 What is the thousands digit of 83638? 3 What is the tens digit of 1241? 4 What is the tens digit of 8942? 4 What is the tens digit of 851? 5 What is the thousands digit of 2607? 2 What is the tens digit of 1101? 0 What is the units digit of 24969? 9 What is the ten thousands digit of 25727? 2 What is the thousands digit of 9541? 9 What is the thousands digit of 68141? 8 What is the hundred thousands digit of 176786? 1 What is the ten thousands digit of 21800? 2 What is the units digit of 899? 9 What is the tens digit of 71? 7 What is the hundreds digit of 4801? 8 What is the hundreds digit of 948? 9 What is the tens digit of 17? 1 What is the thousands digit of 6125? 6 What is the tens digit of 4221? 2 What is the hundreds digit of 2692? 6 What is the hundreds digit of 163? 1 What is the thousands digit of 2134? 2 What is the units digit of 1322? 2 What is the hundreds digit of 924? 9 What is the ten thousands digit of 13387? 1 What is the hundreds digit of 7965? 9 What is the thousands digit of 1021? 1 What is the units digit of 205? 5 What is the units digit of 13734? 4 What is the hundreds digit of 3548? 5 What is the hundreds digit of 2148? 1 What is the tens digit of 183441? 4 What is the tens digit of 231? 3 What is the thousands digit of 78135? 8 What is the thousands digit of 1208? 1 What is the ten thousands digit of 38276? 3 What is the ten thousands digit of 33034? 3 What is the thousands digit of 1350? 1 What is the tens digit of 1316? 1 What is the tens digit of 2261? 6 What is the tens digit of 11776? 7 What is the hundreds digit of 69993? 9 What is the hundreds digit of 19380? 3 What is the units digit of 1307? 7 What is the hundreds digit of 243? 2 What is the hundreds digit of 1623? 6 What is the thousands digit of 71048? 1 What is the tens digit of 2091? 9 What is the hundreds digit of 15962? 9 What is the tens digit of 1762? 6 What is the tens digit of 3768? 6 What is the tens digit of 447? 4 What is the thousands digit of 4024? 4 What is the tens digit of 994? 9 What is the tens digit of 2331? 3 What is the thousands digit of 1291? 1 What is the hundreds digit of 1603? 6 What is the tens digit of 4781? 8 What is the units digit of 13341? 1 What is the hundreds digit of 33096? 0 What is the units digit of 1282? 2 What is the units digit of 721? 1 What is the tens digit of 27580? 8 What is the thousands digit of 1407? 1 What is the tens digit of 23723? 2 What is the thousands digit of 93480? 3 What is the hundreds digit of 3475? 4 What is the thousands digit of 4604? 4 What is the hundreds digit of 738? 7 What is the thousands digit of 197799? 7 What is the thousands digit of 2155? 2 What is the ten thousands digit of 11155? 1 What is the tens digit of 912? 1 What is the ten thousands digit of 65313? 6 What is the hundreds digit of 17001? 0 What is the hundreds digit of 87101? 1 What is the units digit of 1502? 2 What is the tens digit of 15723? 2 What is the units digit of 36? 6 What is the tens digit of 1375? 7 What is the hundreds digit of 4264? 2 What is the units digit of 1504? 4 What is the hundreds digit of 7209? 2 What is the tens digit of 1048? 4 What is the tens digit of 5598? 9 What is the units digit of 5597? 7 What is the thousands digit of 140086? 0 What is the units digit of 5332? 2 What is the units digit of 92078? 8 What is the hundreds digit of 8242? 2 What is the thousands digit of 24705? 4 What is the hundreds digit of 2541? 5 What is the tens digit of 351? 5 What is the tens digit of 8684? 8 What is the units digit of 35657? 7 What is the units digit of 15213? 3 What is the thousands digit of 25630? 5 What is the tens digit of 1403? 0 What is the hundreds digit of 16122? 1 What is the hundreds digit of 3974? 9 What is the tens digit of 38? 3 What is the tens digit of 4975? 7 What is the tens digit of 10776? 7 What is the tens digit of 13688? 8 What is the thousands digit of 3151? 3 What is the tens digit of 158? 5 What is the tens digit of 212? 1 What is the ten thousands digit of 52992? 5 What is the thousands digit of 5004? 5 What is the units digit of 5334? 4 What is the tens digit of 1171? 7 What is the thousands digit of 20419? 0 What is the ten thousands digit of 40102? 4 What is the units digit of 2517? 7 What is the hundreds digit of 73441? 4 What is the tens digit of 701? 0 What is the units digit of 21211? 1 What is the units digit of 38691? 1 What is the ten thousands digit of 11290? 1 What is the tens digit of 20754? 5 What is the thousands digit of 5503? 5 What is the thousands digit of 5602? 5 What is the ten thousands digit of 123706? 2 What is the ten thousands digit of 57795? 5 What is the tens digit of 851? 5 What is the thousands digit of 59051? 9 What is the hundreds digit of 10839? 8 What is the hundreds digit of 526? 5 What is the hundreds digit of 28841? 8 What is the units digit of 572? 2 What is the tens digit of 741? 4 What is the units digit of 1089? 9 What is the tens digit of 527? 2 What is the hundreds digit of 82172? 1 What is the hundreds digit of 3266? 2 What is the hundreds digit of 10852? 8 What is the units digit of 2817? 7 What is the hundreds digit of 51595? 5 What is the tens digit of 1128? 2 What is the hundreds digit of 727? 7 What is the ten thousands digit of 31856? 3 What is the tens digit of 4776? 7 What is the units digit of 397? 7 What is the tens digit of 736? 3 What is the units digit of 1244? 4 What is the units digit of 611? 1 What is the thousands digit of 31831? 1 What is the tens digit of 11940? 4 What is the units digit of 51906? 6 What is the thousands digit of 4960? 4 What is the hundreds digit of 1133? 1 What is the thousands digit of 23351? 3 What is the hundreds digit of 187? 1 What is the thousands digit of 6394? 6 What is the ten thousands digit of 18860? 1 What is the units digit of 13776? 6 What is the hundreds digit of 2829? 8 What is the tens digit of 77322? 2 What is the tens digit of 1467? 6 What is the units digit of 823? 3 What is the hundreds digit of 6929? 9 What is the thousands digit of 34775? 4 What is the hundreds digit of 59419? 4 What is the units digit of 5412? 2 What is the thousands digit of 4877? 4 What is the hundreds digit of 740? 7 What is the thousands digit of 2134? 2 What is the tens digit of 1566? 6 What is the units digit of 29484? 4 What is the tens digit of 820? 2 What is the thousands digit of 101756? 1 What is the ten thousands digit of 11298? 1 What is the hundreds digit of 36423? 4 What is the units digit of 2245? 5 What is the thousands digit of 5931? 5 What is the hundreds digit of 732? 7 What is the tens digit of 102862? 6 What is the hundreds digit of 3817? 8 What is the thousands digit of 3126? 3 What is the hundreds digit of 2964? 9 What is the hundreds digit of 55482? 4 What is the hundreds digit of 503? 5 What is the tens digit of 1986? 8 What is the thousands digit of 4238? 4 What is the thousands digit of 10394? 0 What is the tens digit of 676? 7 What is the ten thousands digit of 57354? 5 What is the hundreds digit of 6316? 3 What is the units digit of 20212? 2 What is the thousands digit of 41020? 1 What is the hundreds digit of 2222? 2 What is the thousands digit of 4514? 4 What is the units digit of 1374? 4 What is the thousands digit of 20911? 0 What is the hundreds digit of 2567? 5 What is the thousands digit of 5119? 5 What is the units digit of 3860? 0 What is the tens digit of 16805? 0 What is the hundreds digit of 449? 4 What is the tens digit of 11181? 8 What is the hundreds digit of 616? 6 What is the units digit of 1253? 3 What is the ten thousands digit of 83746? 8 What is the thousands digit of 3125? 3 What is the ten thousands digit of 31377? 3 What is the tens digit of 4267? 6 What is the hundreds digit of 1978? 9 What is the hundreds digit of 3718? 7 What is the ten thousands digit of 24560? 2 What is the hundreds digit of 971? 9 What is the hundreds digit of 856? 8 What is the hundreds digit of 1291? 2 What is the
{ "pile_set_name": "DM Mathematics" }
t + 3*t - 4 = 0, 0 = -d + 3*t - 9. Calculate the smallest common multiple of d and 10. 30 Suppose -5 - 28 = -3*z. Let x = 10 - 4. What is the smallest common multiple of z and x? 66 Let k = -8172 - -77739/10. Let b = -403 - k. What is the common denominator of 103/6 and b? 30 Let i = 3 - 2. Find the common denominator of 39/10 and (1/14)/(i/(-17)). 70 Suppose 4*m - 5*m = 4*v - 142, 5*m = -10. Calculate the lowest common multiple of v and 40. 360 Let h be ((-5229)/(-19))/((-22)/(-6)). Let q = 758/11 - h. Let t = 141/19 + q. Calculate the common denominator of t and 11. 11 Suppose 30 = -n + 40. What is the smallest common multiple of n and 5? 10 Suppose -22*z + 19*z = -12. Let t = -8 - -19. What is the smallest common multiple of t and z? 44 Find the common denominator of (3/2)/((-42)/(-158)) and (-30)/(-24)*67/(-20). 112 Suppose 38 = 3*s + 5*l, -2*l = -0*s - 3*s + 52. Calculate the lowest common multiple of s and (-2)/6 + 37/3. 48 Suppose 16 = 3*k - 11. Let a = k - -48. Suppose 0 = 3*z + i + a, 6*z = 4*z + 2*i - 46. Calculate the common denominator of -41 and z. 1 Let w = -11 - -19. What is the lowest common multiple of 6 and w? 24 Let r be (1*-70)/((-6)/(-114)). Let t = 23929/18 + r. Let v = -2687 - -10839/4. Calculate the common denominator of v and t. 36 Calculate the lowest common multiple of 4*9/2 + (-6)/(-2) and 12. 84 Suppose 0*j + j - 16 = 0. Let f = 9 - 3. What is the least common multiple of f and j? 48 Let z = -46 + 177/4. Let q = 29/181 - -6117/3620. Let r = z + q. What is the common denominator of -13/8 and r? 40 Let d(t) = -t**3 + 4*t**2 + 5*t + 5. Let q be d(5). Let r = q - 0. Calculate the least common multiple of 2 and r. 10 Let p = 12 + 0. Suppose -4*b = j - 155, 2*b - 5*j = 48 + 57. Calculate the smallest common multiple of b and p. 120 Suppose 6 = -l + 3*y, 2*l + y - 6 = -2*y. Let v = 12 - l. Let q = -6 - -10. What is the smallest common multiple of q and v? 12 Suppose -c = c - 40. Let s = 160 + -88. Calculate the smallest common multiple of (-328)/(-18) - 16/s and c. 180 Let v = 2 - -1. Suppose 3*b - 5 = -2*b - v*k, 4*b + 4 = -4*k. Calculate the lowest common multiple of 20 and b. 20 Suppose 28 = 3*o - 5*n, -o + 10 = -3*n + n. What is the smallest common multiple of 5 and o? 30 Let b(n) = -n + 1. Let j be b(3). Let r = 9787/56 + -1345/8. What is the common denominator of 117/(-16) - (j + 1) and r? 112 Let q be 1*(0 + -1)*-2. Suppose q*i + 4*n - 40 = 0, 5*i = 2*i - 3*n + 63. Calculate the least common multiple of 2 and i. 22 Suppose 239 + 5 = 4*h. What is the lowest common multiple of 10 and h? 610 Let o(l) = -l**2 - l + 4. Let h be o(-3). Let w = 4 - h. What is the least common multiple of w and 4? 12 Suppose 0*f - f = -2*v + 63, 2*f - 2 = 0. What is the lowest common multiple of v and 40? 160 Suppose 0 = -5*w + 9*w. Suppose 0 = -p - 0*k + 5*k + 20, -3*p - 5*k + 20 = w. Let b = 6 - -3. Calculate the least common multiple of b and p. 90 Let c = -55741/6 - -9267. Let l = -1807/2 - -880. What is the common denominator of l and c? 6 Let v = 267393/20 + -13366. Let h be ((-994)/12)/(3/151). Let m = h + 4171. Find the common denominator of m and v. 180 Suppose 5*j + 5*i - 95 = 0, -3*j = i - 36 - 27. Calculate the least common multiple of j and 12. 132 Suppose 0 = -0*b - 3*b + 9. Suppose -w - 15 = -b*q, 0 = -4*w + 2*w. What is the smallest common multiple of 14 and ((-4)/q)/((-4)/110)? 154 Let x = -289/52 + 3/52. Suppose 0 = -y - 3 + 16. Suppose 4*s = -t - 12, -2*t - 44 = -3*s + y. What is the common denominator of x and t? 2 Suppose -116 + 43 = -5*m - 4*d, 4*d = -4*m + 56. What is the lowest common multiple of 8 and m + 0/2 + 3? 40 Suppose 4 = -2*q, 0*q - 13 = -5*d + 4*q. Suppose 0 = p - 11 - d. Let w(n) = -n + 12. What is the smallest common multiple of p and w(0)? 12 Let d = -16 - -10. What is the least common multiple of (1 - 2)/1 - d and 4/2 - (-3 + 2)? 15 Suppose 2*z - 5*i - 2926 = 0, i = -3*i. Let h = z - 3009/2. Find the common denominator of 113/14 and h. 14 Suppose 0*r - 4*r = -16. Suppose -4*d = -b + d + 35, -r*b + 71 = 3*d. Calculate the lowest common multiple of b and 20. 20 Let a(y) = 3*y. Let j(k) = -16*k + 1. Let m(t) = 11*a(t) + 2*j(t). Let x be m(-3). What is the common denominator of (-255)/24*(x + 0) and 44/7? 56 Suppose 0 = 2*m + 5*j - 34, -5*m + j + 2*j + 23 = 0. Suppose i + 10 = -0*i. Calculate the lowest common multiple of 1/2 - 25/i and m. 21 Calculate the common denominator of -63/16 and ((-536)/(-84))/((-8)/6). 112 Let y(a) = -2*a - 8. What is the lowest common multiple of y(-12) and -2*(-3 - (3 - -2))? 16 Let m(y) = -y**3 + y + 18. Let x be m(0). Suppose 3*r - 40 = -7. Let n = x - r. What is the least common multiple of n and 9? 63 Suppose y - 4*y = d + 778, -5*y - 3140 = 4*d. Let z = 8710/11 + d. What is the common denominator of z and -58/3? 33 Let a = -288106341433610873/184770 - -1559270127361. Let q = a - -1/10265. Calculate the common denominator of -51/20 and q. 180 Let j = -16670246/11 - -1516666. Suppose h = -5*o + 5939, 0 = 4*o - 0*h - 2*h - 4754. Let k = j - o. What is the common denominator of k and -91/2? 22 Let u = 6 - -5. Let d(q) = -q + 8. What is the lowest common multiple of d(4) and u? 44 Suppose -d = -19 - 3. Calculate the smallest common multiple of d and 10. 110 Let c(x) = 26*x - 6. What is the lowest common multiple of c(1) and 4? 20 Let f be (-1130)/128096*(-10628)/(-10). Let a = -2/4003 - f. Calculate the common denominator of a and (-12)/(-18)*(-38)/16. 24 Let p(o) = o**2 - 4*o + 3. Let k be p(6). Let l = -5 + k. Suppose -z = 1 - 11. Calculate the least common multiple of l and z. 10 Let m = 16 + -2. Suppose 6*k - k + 11 = 4*c, -4*k = 4*c - 20. Calculate the least common multiple of ((-2)/(-3))/(k/18) and m. 84 Let x = -176 + 353. Calculate the common denominator of -4/3 and 2 + x/(-30) + 2. 30 Suppose 0 = -5*v - 5*s + 14 + 1, 2*s + 2 = 0. Suppose v*m = 2*m + 20. Suppose -f - 3 = -b, 4 = 3*b + f + f. Calculate the lowest common multiple of b and m. 10 Suppose f + 14 = 2*b, 2*f - 1 = -2*b + 13. Let m = -62 - -67. Calculate the lowest common multiple of m and b. 35 Calculate the common denominator of ((-231)/88)/((-18)/(-28)) and -79/50. 300 Let u(r) = -5*r + 1. Calculate the least common multiple of 7 and u(-2). 77 Let i = 9260 - 92517/10. Let j = -2/333 + -8959/5328. Calculate the common denominator of i and j. 80 What is the least common multiple of (-1 - -2)/(-1)*(-2 + 0) and 4? 4 Suppose -2*s - 5*l + 19 = s, -4*s + 5*l = -37. What is the least common multiple of s and 7? 56 Let l = -27133/6174 - -2/343. Find the common denominator of -67/24 and l. 72 What is the common denominator of 151/36 and 155/(-10) + 2 - 3? 36 Let n(z) = 4*z - 1. Let a be n(-2). Let i = 2965/2 - 1531. What is the common denominator of 7/12 + a/12 and i? 6 Let y be -2 + (-3 + 3)/1. Let k = 72/19 - -454/171. Calculate the common denominator of y/(-3) - (-575)/30 and k. 18 Let r = 30341/10 - 3027. What is the common denominator of r and -53/4? 20 Let g be ((-4)/(-6))/(4/432). Calculate the common denominator of 17/20 and (-1)/(-3)*g/32. 20 Suppose 8 = i - 2*n, -4*i = i - 2*n - 32. Suppose b + 0 - i = 0. What is the smallest common multiple of (-1 + -5 + 2)*-2 and b? 24 Suppose 4*d + 3*i - 39 = 0, -d + 2*d - 2*i - 18 = 0. Calculate the lowest common multiple of 12 and d. 12 Let n = -6/101 - -3274/707. What is the common denominator of n and 59/9 - (-4 - -3)? 63 Let f = 18/209 + 8461/1254. Let v = 708 - 11323/16. Calculate the common denominator of f and v. 48 Let n = -56 - -335/6. Calculate the common denominator of n and -49/5. 30 Let y be (41 - 0/(-4)) + 1. Suppose l + 28 = 2*s, 5*l - s + 46 = -76. Let z = l + y. What is the lowest common multiple of z and 18? 18 Find the common denominator of (-3)/(-9) - 18/4 and 37/4. 12 Let u(b) = b**2 + 9*b + 25. Let t = -5 + 11. Calculate the smallest common multiple of u(-4) and t. 30 Suppose -4 = 3*w - 5*w. Calculate the smallest common multiple of w and 28. 28 Let x = -8 + 23. What is the smallest common multiple of x and 30? 30 Suppose 5*u + 102 = 22. Let w = 62/27 - 3379/378. Find the common denominator of w and 1/u*(1 - 15). 56 Let t(i) = i**3 + 9*i**2 + 20. What is the least common multiple of 30 and t(-9)? 60 Let t = 766639/32 + -23955. Let w = -2/11821
{ "pile_set_name": "DM Mathematics" }
7:36 AM and 2:48 PM? 432 How many minutes are there between 6:54 PM and 4:49 AM? 595 How many minutes are there between 7:23 PM and 8:11 PM? 48 How many minutes are there between 8:03 AM and 8:13 AM? 10 How many minutes are there between 10:39 AM and 10:12 PM? 693 What is 605 minutes before 11:10 PM? 1:05 PM How many minutes are there between 4:23 AM and 6:52 AM? 149 How many minutes are there between 1:57 AM and 9:16 AM? 439 What is 96 minutes before 10:59 AM? 9:23 AM What is 504 minutes before 5:46 AM? 9:22 PM How many minutes are there between 10:30 PM and 4:43 AM? 373 What is 628 minutes before 8:04 AM? 9:36 PM What is 398 minutes after 10:06 PM? 4:44 AM How many minutes are there between 12:54 AM and 5:03 AM? 249 What is 302 minutes after 4:05 PM? 9:07 PM What is 639 minutes before 9:00 AM? 10:21 PM How many minutes are there between 10:40 AM and 9:23 PM? 643 How many minutes are there between 5:51 AM and 2:39 PM? 528 How many minutes are there between 6:43 AM and 4:42 PM? 599 What is 491 minutes after 5:03 AM? 1:14 PM What is 139 minutes after 9:34 AM? 11:53 AM How many minutes are there between 9:49 PM and 6:26 AM? 517 How many minutes are there between 10:07 AM and 10:06 PM? 719 What is 414 minutes before 7:00 AM? 12:06 AM What is 236 minutes after 3:52 PM? 7:48 PM How many minutes are there between 10:51 AM and 7:54 PM? 543 How many minutes are there between 12:06 PM and 1:34 PM? 88 How many minutes are there between 5:31 PM and 2:29 AM? 538 How many minutes are there between 9:17 AM and 7:29 PM? 612 How many minutes are there between 8:45 AM and 5:29 PM? 524 How many minutes are there between 11:41 AM and 4:01 PM? 260 How many minutes are there between 1:08 AM and 12:50 PM? 702 What is 655 minutes before 1:05 AM? 2:10 PM What is 62 minutes before 1:26 AM? 12:24 AM What is 402 minutes after 3:02 PM? 9:44 PM How many minutes are there between 3:10 PM and 2:25 AM? 675 How many minutes are there between 9:00 AM and 9:53 AM? 53 What is 710 minutes before 12:17 AM? 12:27 PM How many minutes are there between 4:35 PM and 2:11 AM? 576 How many minutes are there between 12:25 PM and 3:00 PM? 155 How many minutes are there between 2:07 AM and 2:01 PM? 714 What is 304 minutes after 7:23 AM? 12:27 PM How many minutes are there between 6:15 PM and 5:43 AM? 688 How many minutes are there between 6:52 AM and 7:33 AM? 41 How many minutes are there between 6:42 AM and 12:05 PM? 323 What is 309 minutes before 12:23 PM? 7:14 AM How many minutes are there between 10:03 AM and 2:58 PM? 295 What is 315 minutes after 2:54 AM? 8:09 AM How many minutes are there between 3:38 PM and 2:09 AM? 631 What is 237 minutes after 5:06 PM? 9:03 PM What is 530 minutes before 12:16 AM? 3:26 PM How many minutes are there between 11:31 PM and 4:59 AM? 328 How many minutes are there between 9:34 AM and 10:30 AM? 56 How many minutes are there between 8:23 AM and 3:23 PM? 420 What is 197 minutes after 4:09 PM? 7:26 PM How many minutes are there between 4:23 AM and 6:13 AM? 110 What is 468 minutes before 1:45 PM? 5:57 AM What is 48 minutes after 6:09 PM? 6:57 PM What is 51 minutes before 10:28 AM? 9:37 AM How many minutes are there between 6:29 PM and 1:38 AM? 429 How many minutes are there between 8:44 PM and 10:56 PM? 132 What is 647 minutes after 1:35 PM? 12:22 AM What is 320 minutes before 7:05 PM? 1:45 PM What is 130 minutes after 7:24 PM? 9:34 PM What is 416 minutes before 5:15 PM? 10:19 AM How many minutes are there between 5:07 AM and 8:50 AM? 223 What is 709 minutes before 7:42 PM? 7:53 AM How many minutes are there between 1:10 PM and 6:35 PM? 325 What is 130 minutes before 1:10 AM? 11:00 PM How many minutes are there between 1:12 PM and 2:04 PM? 52 How many minutes are there between 11:21 AM and 4:43 PM? 322 How many minutes are there between 8:14 PM and 6:02 AM? 588 What is 96 minutes after 9:11 AM? 10:47 AM How many minutes are there between 11:09 AM and 1:15 PM? 126 What is 466 minutes before 10:09 PM? 2:23 PM How many minutes are there between 12:43 AM and 10:26 AM? 583 What is 652 minutes after 4:01 AM? 2:53 PM How many minutes are there between 11:57 AM and 2:52 PM? 175 What is 175 minutes after 1:02 AM? 3:57 AM What is 279 minutes before 2:51 PM? 10:12 AM What is 612 minutes before 5:17 AM? 7:05 PM What is 332 minutes before 12:54 AM? 7:22 PM How many minutes are there between 10:36 AM and 8:20 PM? 584 How many minutes are there between 4:39 AM and 10:20 AM? 341 What is 616 minutes before 5:23 PM? 7:07 AM How many minutes are there between 5:57 PM and 3:14 AM? 557 What is 159 minutes after 8:07 AM? 10:46 AM How many minutes are there between 9:18 AM and 11:40 AM? 142 What is 120 minutes after 9:15 AM? 11:15 AM What is 240 minutes after 4:18 PM? 8:18 PM What is 295 minutes after 2:27 AM? 7:22 AM How many minutes are there between 4:28 AM and 7:32 AM? 184 How many minutes are there between 6:48 PM and 11:52 PM? 304 What is 663 minutes after 1:16 AM? 12:19 PM How many minutes are there between 2:19 PM and 10:46 PM? 507 How many minutes are there between 6:12 PM and 1:45 AM? 453 What is 91 minutes before 1:01 PM? 11:30 AM How many minutes are there between 9:33 PM and 7:16 AM? 583 What is 581 minutes before 4:55 PM? 7:14 AM How many minutes are there between 11:09 PM and 11:13 PM? 4 How many minutes are there between 5:05 AM and 1:39 PM? 514 What is 583 minutes before 11:48 AM? 2:05 AM How many minutes are there between 8:01 AM and 8:37 AM? 36 How many minutes are there between 5:58 PM and 5:31 AM? 693 How many minutes are there between 7:26 AM and 10:37 AM? 191 How many minutes are there between 8:27 AM and 10:43 AM? 136 How many minutes are there between 6:57 AM and 3:07 PM? 490 What is 48 minutes after 12:21 PM? 1:09 PM How many minutes are there between 7:26 AM and 6:35 PM? 669 What is 670 minutes after 3:36 PM? 2:46 AM What is 493 minutes before 7:16 AM? 11:03 PM What is 599 minutes after 8:54 PM? 6:53 AM How many minutes are there between 1:51 PM and 4:30 PM? 159 How many minutes are there between 4:11 PM and 2:27 AM? 616 How many minutes are there between 1:54 AM and 1:44 PM? 710 How many minutes are there between 6:38 AM and 8:44 AM? 126 How many minutes are there between 10:50 PM and 11:31 PM? 41 What is 524 minutes before 8:46 PM? 12:02 PM What is 496 minutes after 8:07 PM? 4:23 AM What is 669 minutes before 8:36 AM? 9:27 PM How many minutes are there between 9:58 AM and 2:12 PM? 254 How many minutes are there between 11:41 PM and 6:20 AM? 399 How many minutes are there between 8:06 AM and 2:19 PM? 373 How many minutes are there between 5:16 PM and 6:57 PM? 101 What is 398 minutes after 12:28 PM? 7:06 PM What is 503 minutes before 4:18 PM? 7:55 AM How many minutes are there between 3:06 AM and 7:49 AM? 283 What is 89 minutes before 8:57 PM? 7:28 PM How many minutes are there between 7:38 PM and 2:46 AM? 428 What is 418 minutes after 3:58 PM? 10:56 PM What is 194 minutes after 2:05 PM? 5:19 PM How many minutes are there between 11:13 PM and 7:58 AM? 525 What is 355 minutes after 9:37 PM? 3:32 AM How many minutes are there between 5:53 PM and 6:49 PM? 56 What is 517 minutes before 12:20 PM? 3:43 AM What is 296 minutes before 1:35 PM? 8:39 AM How many minutes are there between 12:50 AM and 7:30 AM? 400 What is 12 minutes before 3:38 AM? 3:26 AM How many minutes are there between 5:06 AM and 9:31 AM? 265 What is 599 minutes before 6:21 PM? 8:22 AM What is 667 minutes before 8:43 PM? 9:36 AM How many minutes are there between 1:38 PM and 10:12 PM? 514 What is 48 minutes before 10:17 PM? 9:29 PM What is 676 minutes after 7:27 AM? 6:43 PM What is 367 minutes before 4:01 AM? 9:54 PM How many minutes are there between 12:21 AM and 5:10 AM? 289 What is 175 minutes before 4:47 PM? 1:52 PM How many minutes are there between 2:27 PM and 2:38 PM? 11 What is 708 minutes before 5:22 AM? 5:34 PM How many minutes are there between 2:14 PM and 6:14 PM? 240 What is 420 minutes before 12:07 AM? 5:07 PM How many minutes are there between 4:23 PM and 4:18 AM? 715 How many minutes are there between 3:03 AM and 7:17 AM? 254 What is 576 minutes before 10:58 PM? 1:22 PM How many minutes are there between 9:49 PM and 9:55 PM? 6 What is 317 minutes after 3:43 PM? 9:00 PM What
{ "pile_set_name": "DM Mathematics" }
1)/(81/(-190) - 22/(-55)) + 2359/337. 45 Calculate 136/((-1224)/(-99)) + (-49)/4. -5/4 Calculate (33/1540*7)/((-18)/(-166)) - (-1330)/(-15960). 13/10 Evaluate (-13370)/462 - ((-6461)/(-429) - 15). -29 Calculate 2/1*138/2112*-22 + 3. 1/8 Calculate 28/231*(-88)/(-48) + 7 + 2982/(-54). -48 What is -2 + (-6 + 46)*(-4 + (-15)/(-4))? -12 What is (558*(-8)/16)/(-9)? 31 4327118/240298 - (6/(-5))/(4/(-60)) 1/137 Evaluate 4116/(-3192) - (-7 + 6)*(-27)/(-18). 4/19 Calculate (64/(-9) + (-672)/756)*(-85)/612. 10/9 2/1 + (-209)/121 - (-17427)/(-1221) -14 What is the value of ((-42)/392)/((-13)/156)? 9/7 What is the value of (1/14)/(-28 - (-25691)/828 - 3)? 18/7 (144/(-480)*40)/((24/30)/(-1*1)) 15 What is 59/1 + 265430/(-4191)? -13/3 What is the value of 636/(-81) - ((-8)/7)/((-55)/(-385))? 4/27 What is the value of (8/(288/(-27)))/((-62)/((-1488)/(-531)))? 2/59 (-33 - -34)/2 - 399/1050 3/25 Calculate 352674/(-3732)*(-4)/(-27). -14 Calculate ((-56)/22)/((-44828)/(-563552)). -32 89 - (136/20)/(25/(125/2)) 72 13/(-6) - (-30)/(12600/886) -2/35 What is -38 + ((-11600)/(-29))/40 + -9? -37 Evaluate 60/75 + (-83)/(-65) + -2. 1/13 Calculate (-15)/375*5*2*105/56. -3/4 What is (-21 + 23)*(-10)/(-28) - 42066/62244? 1/26 Evaluate 2816/(-144) - 35/(-63) - 9 - -11. -17 What is the value of ((-12)/98)/(((-380)/3192)/(5/45))? 4/35 (1432/(-19690))/(4532/1210) -2/103 What is the value of 43/(-4) - ((-39 - -38)*9 - 3)? 5/4 (-7*(-20)/920)/((-14)/8) -2/23 Calculate (-35 + 352/44)/((12/(-8))/3). 54 What is -1 - 26722/558 - -48? -8/9 Evaluate ((-2)/(-1) - 0)*(63 - 324/8). 45 What is the value of 6/(-42)*55*273/(-3861)? 5/9 Calculate (-289)/((-156060)/27600) + -52. -8/9 Evaluate (-5 - 60)/(58*(-18)/(-1044)). -65 What is 5 - (8 - (-5 + (31 - (-27)/(30/(-10)))))? 14 Evaluate (90/44)/(1482/297 + -5 + (-20)/(-36)). 15/4 Evaluate 75/15 + (-13)/(3913/14)*(-426)/(-4). 2/43 (-5 - (-105)/18)/(2 + 7 + 700/(-60)) -5/16 What is ((-621)/(-567) - 1)*7/8? 1/12 What is the value of ((-8)/14)/(((-440)/180*3)/((-21)/9))? -2/11 What is (-1)/2*(120 + -118)*(4 - 45)? 41 What is the value of (-432)/(-48)*(-185)/(-28305)? 1/17 What is the value of (-34308)/(-324) + -28 + -3*3 + (-2)/(-18)? 69 Evaluate (-27 - (-3330)/120)*6. 9/2 Calculate (-31 + 0 + -3)/((-190)/(-152)*6/(-15)). 68 What is the value of 1390/(-556) + -212*(-24)/64? 77 What is (-2)/((-8)/28)*(-20498)/(-3878)? 37 What is the value of (((-24491)/1368 - -18) + (-10)/45)*16/(-14)? 1/7 Calculate 333/(-740)*5 + 1 + (-171)/(-108). 1/3 Evaluate 48950/1430 - 15/65 - (0 - -1). 33 What is 1864/21436 - (2305/1380 + -2)? 5/12 10 + 29 + -32 + 2/4 + 350/(-20) -10 What is (((-4)/5)/((-12)/10))/((-1252)/193434)? -103 What is (18/24)/((-25)/(-10) - 2)? 3/2 What is 14/(-44)*((-2704)/364 + 36/9)? 12/11 What is (-19)/2090*90/36? -1/44 (-5560)/(-2085)*11/(2860/(-15)) -2/13 What is (18/(-942))/((-3618)/(-2412))? -2/157 2 + 9 - -1769*(2 + (-3230)/1610) 2/161 Evaluate (-19344)/(-35464) - 5/((-275)/(-1405)). -25 What is (-116 - -101)*12/90? -2 (94 - 124 - (-585)/21) + 2 -1/7 Evaluate (-36464)/(-191065) + (-24)/140. 2/103 What is ((-30770)/25340)/((-68)/70)? 5/4 Calculate (-1716)/(-78)*(18 + (-10 - 0) + 14/(-2)). 22 Calculate 93/4 + (-214434)/9747. 5/4 What is (74/(-11))/(832779/5049 + -165)? 111 Evaluate 0 + (-8)/(-3)*(16146/(-92))/(-117). 4 What is the value of (15*352/(-3300))/(3/10)? -16/3 What is the value of (-7 - (-4 - 0)) + (-621)/(-230) - (-5559)/16830? 1/33 What is (-8 - (-10 + -7) - 8)/(2 - (-111)/(-54))? -18 Calculate 8/518*(-44268)/(-25296). 1/37 Calculate (4 - 19) + -901*90/(-5610). -6/11 65/100*(15 + -16 + 6) 13/4 What is 19/(-4) + (-55 - -60) - ((-60945)/(-3332) + -18)? -2/49 819/45*5 - 256/64 87 What is (14 - 32) + (-322623)/(-17955)? -3/95 What is (11 + -1 + 0)/(30/4*78/8658)? 148 65/(-18)*((-285236)/(-2379) - 120) 10/27 What is the value of (109 - (-43581)/(-398))/(-9*2/(-8))? -2/9 -8 + ((-609518)/612)/(-91) - (1 - 5/9) 5/2 What is the value of 3*1/21*49? 7 Calculate -5 + 4984/140 + 6*4/60. 31 ((-165)/(-365))/((-567)/(-35)) - (-9)/(-243) -2/219 Evaluate ((-405)/50 - -8)/((-360)/30 + 15). -1/30 30760/16918 - 105/88 5/8 What is the value of 79 + 1769390/(-23177) + 240/(-88)? -3/43 Calculate -130*8/10*(-393)/(-1572). -26 Evaluate -4 - 56/8 - (11 - (-4 - 45/9)). -31 What is the value of 4052/(-147898) - (-9411)/(-219)? -43 (-12)/(-27)*(-624)/416*-45 30 Evaluate (2431/10868*5/(-85))/(3/8). -2/57 Calculate 58 + 1781*1683/(-51714). 1/26 What is -266*(-55)/(-770) - 67? -86 What is (-92)/46 - (-203)/91 - (-120)/(-13)? -9 Calculate (-481 - -558) + 111/(-1). -34 Evaluate 1/(230/16008*58*3/(-145)). -58 (1 - -1)*(16 - (-19400)/(-1261)) 16/13 What is (-282)/47 + (212 - 140)? 66 Evaluate 22100/118490 + (-4)/(-82). 4/17 Calculate ((-744)/1674)/(10/15 + (-644)/(-63)). -2/49 Evaluate (1900/180)/(-19)*2/(-5). 2/9 Calculate 6/4*(-3116)/123*((-7230)/360 - -20). 19/6 What is the value of 10/(-4)*((-561)/605 - -1) + 0? -2/11 (-735)/145 + 9 - (6 - (-2640)/(-435)) 4 Calculate ((-11)/(-1) - 3)/(126/(-84))*3. -16 What is the value of 39/75 - (4 + 4 - (-4848)/(-600))? 3/5 What is 1710/18810 - ((-130)/22 - -1)? 5 What is the value of ((-30)/(-8) + 1)*365892/(-91473)? -19 Evaluate ((-1877)/342 - ((-400)/(-32) - 12)) + 6. 2/171 What is (10*12247/(-13320) - -9)*-27? 21/4 What is the value of 3 + 8/(-4) - (64/8 - 6)*4? -7 Calculate 18/27 - ((-16)/(-6))/((-132)/(-24)). 2/11 What is the value of ((-3 - (-81)/25)*5/3)/(69732/(-1490))? -1/117 (20698/(-474) - -42)*4/(-10) 2/3 Calculate 14/2*(46488/176267)/(2*1). 12/13 Calculate (4/(-7))/(1160235/(-8855) + 131). 22 What is the value of 4*((-2001)/(-306) + (-128)/3264)? 26 What is the value of (-10 - (-377)/26) + -387*(-1)/6? 69 What is -49*(-3)/(-27) - ((-42238)/(-2586))/(14/(-6))? 14/9 What is (-11)/(66/18) - (-278 - -305)? -30 ((-999)/90 - -11 - (-28)/(-20))/((-81)/(-5454)) -101 ((-6)/(-111))/(24/1924) 13/3 What is the value of (49/110 + 24/(-44))/(((-44)/(-72))/11)? -9/5 ((-2)/(-2))/(((-20)/8)/(-22 - (-32 + 48))) 76/5 What is ((-11051)/129 - -81)*(-261)/(-21)? -58 Evaluate (8679/(-11046))/(3/126). -33 What is the value of -10*(203721/37380)/((-2)/4)? 109 What is (35/(-28) + 1)/(((-3)/2)/(-343 - -154))? -63/2 What is ((-1008)/81)/((28/(-105))/(-5 - 62/(-10)))? 56 (20/(-240))/((-912)/(-288))*(1 - -9) -5/19 What is the value of (192/(-1728))/(348/(-1026) + 2/6)? 19 (340/(-51))/(356/2403) -45 What is ((-50)/16)/(193550/(-530880))? 60/7 (-689)/68 + 720288/70272 2/17 What is the value of (-5 + (-625)/(-100))*(-322)/115? -7/2 Calculate ((1643/(-217))/53 - 22/(-546))*(-6)/8. 1/13 Calculate (1 + 17/51)/((-5)/(190/(-8))). 19/3 Calculate 58/(-2) - 31564/2428. -42 What is (-672)/32 - -14 - 5/(180/(-246))? -1/6 Calculate -1480*92/(-736)*(-3 + (-51)/(-15)). 74 Calculate (-881)/(-35240) + (-201)/6120. -2/255 (-9)/4*(-98)/(-441)*(5 + 153) -79 Evaluate ((-36)/(-50) + 0/(-1))/(22020/(-300) + 73). -9/5 What is (22/165)/(196/35)*(-270)/(-60)? 3/28 Calculate (4 - 162/40)/((6/32)/(3870/(-18920))). 3/55 Evaluate ((-98)/1617)/(24/(-49104)). 124 6/((-1538)/(-476) + 3432/(-1092)) 68 Evaluate (-5 + 0)/((-1278)/42 + 24). 7/9 Calculate (-23392)/946 + 8/11 + 131. 107 What is ((78/468)/(2/(-464)))/((-12)/18)? 58 What is the value of 1296000/(-2513025) - (-18)/34? 1/73 Calculate -28*10/(-12) - (336/1152 - (-5)/120). 23 Calculate (-204 - -218)*(1/2 - -2). 35 What is the value of (17 + 1638/(-99) - 6348/(-19140)) + 8/(-10)? -2/145 Evaluate (132/(-10))/((-20)/(-75)) + (-23485)/6710. -53 What is the value of (94 + -95)/(6/10)*-69? 115 Calculate ((-6)/(-7))/((9 + -3)*15/114240*32). 34 Evaluate (119/((-13328)/(-64)))/(2992/(-119)). -1/44 Calculate 1/(-77)*103 + (-1188)/(-352) + 2943/(-1512). 1/11 Evaluate ((-375)/(-15))/(6 + -5). 25 What is (-585)/130*(-61 + 71)? -45 (13 - 2) + 2014/855*-5 - (-4)/(-18) -1 Calculate ((1 - 2)/(-5) - 880/(-4400))/(-15 - -13). -1/5 Evaluate 0 + 96 - (12930 - 12749). -85 What is the value of 668206/34712*12/7? 33 Calculate 682/23 + 11520/33120. 30 Calculate (-1140)/(-2016) + (14/(-42))/((-48)/(-54)). 4/21 What is (3/1 - (-56)/(-16))*68094/873? -39 What is the value of (4/(-161))/((-36)/63 + 19 + -12 + -9)? 2/207 Evaluate (44055/3382 - 13)*4*(-2)/(-1 - -3). -2/19 What is 264/836*57 - 13? 5 Evaluate (-129)/(-1075)*(120/420 - 101*(-2)/28). 9
{ "pile_set_name": "DM Mathematics" }
tes are there between 1:44 PM and 8:48 PM? 424 What is 355 minutes after 4:45 PM? 10:40 PM What is 543 minutes before 8:52 AM? 11:49 PM How many minutes are there between 8:57 PM and 2:51 AM? 354 What is 408 minutes before 5:57 AM? 11:09 PM What is 371 minutes before 6:24 PM? 12:13 PM How many minutes are there between 4:53 AM and 6:04 AM? 71 How many minutes are there between 6:58 AM and 8:00 AM? 62 What is 388 minutes before 4:03 AM? 9:35 PM How many minutes are there between 4:22 PM and 4:42 PM? 20 What is 41 minutes before 11:26 PM? 10:45 PM How many minutes are there between 8:24 AM and 2:24 PM? 360 What is 710 minutes before 5:21 AM? 5:31 PM What is 492 minutes before 8:29 PM? 12:17 PM What is 676 minutes after 11:03 AM? 10:19 PM How many minutes are there between 8:18 AM and 7:45 PM? 687 What is 689 minutes after 10:34 PM? 10:03 AM How many minutes are there between 7:31 PM and 11:45 PM? 254 How many minutes are there between 6:41 AM and 7:48 AM? 67 How many minutes are there between 8:14 PM and 9:31 PM? 77 How many minutes are there between 7:33 AM and 7:28 PM? 715 How many minutes are there between 2:57 AM and 5:13 AM? 136 What is 302 minutes after 1:03 AM? 6:05 AM How many minutes are there between 1:57 AM and 7:20 AM? 323 How many minutes are there between 11:49 PM and 9:32 AM? 583 How many minutes are there between 2:25 PM and 3:25 PM? 60 What is 490 minutes before 1:23 AM? 5:13 PM What is 625 minutes before 3:05 PM? 4:40 AM What is 564 minutes before 1:07 AM? 3:43 PM What is 295 minutes after 12:50 AM? 5:45 AM What is 373 minutes after 8:15 AM? 2:28 PM What is 204 minutes after 10:19 PM? 1:43 AM What is 399 minutes before 6:04 PM? 11:25 AM How many minutes are there between 10:58 PM and 3:49 AM? 291 What is 611 minutes before 5:58 PM? 7:47 AM What is 421 minutes after 7:23 AM? 2:24 PM What is 223 minutes before 11:40 PM? 7:57 PM How many minutes are there between 9:55 AM and 3:55 PM? 360 How many minutes are there between 2:22 PM and 9:50 PM? 448 How many minutes are there between 8:26 PM and 7:38 AM? 672 How many minutes are there between 4:43 AM and 5:31 AM? 48 How many minutes are there between 4:11 AM and 2:41 PM? 630 How many minutes are there between 10:54 PM and 12:10 AM? 76 How many minutes are there between 7:22 PM and 5:05 AM? 583 How many minutes are there between 3:38 PM and 5:14 PM? 96 What is 470 minutes before 10:50 AM? 3:00 AM What is 76 minutes after 7:25 PM? 8:41 PM How many minutes are there between 11:13 AM and 9:59 PM? 646 What is 706 minutes after 5:59 AM? 5:45 PM What is 517 minutes after 11:55 PM? 8:32 AM How many minutes are there between 11:08 AM and 10:23 PM? 675 What is 398 minutes after 10:33 PM? 5:11 AM How many minutes are there between 4:18 PM and 1:31 AM? 553 What is 697 minutes after 1:34 AM? 1:11 PM How many minutes are there between 1:58 PM and 12:41 AM? 643 How many minutes are there between 11:30 AM and 1:13 PM? 103 How many minutes are there between 6:51 AM and 5:25 PM? 634 How many minutes are there between 10:53 PM and 9:57 AM? 664 What is 289 minutes before 12:36 AM? 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{ "pile_set_name": "DM Mathematics" }
Let q = 4 - h. What is q*f(k) + 7*c(k)? k + 2 Let o(t) = 5*t - 6. Let a(y) = 4*y - 5. Suppose -4*q = -3*i - 0*q - 19, 5*q = -3*i - 64. Let f be 4/(-10) + i/5. Determine f*o(w) + 4*a(w). w - 2 Let t(b) = b**3 - 2*b**2 - 2*b + 4. Let i be t(3). Let l(q) = -13*q - 7*q**2 + 4 - 1 - 3*q**2. Let a(x) = -3*x**2 - 4*x + 1. What is i*a(h) - 2*l(h)? -h**2 - 2*h + 1 Let k(m) = 6*m**3 + 3*m**2 - 2*m + 4. Let g(a) = 4*a**2 - a**2 + 7*a**3 - 2*a + 0*a + a**2 + 5. Give -4*g(o) + 5*k(o). 2*o**3 - o**2 - 2*o Let s(c) = c**3 - c**2 - c + 1. Let q(t) = -6*t**3 + 4*t**2 + 3*t - 3. Suppose -17*a + 19*a + 6 = 0. Give a*s(k) - q(k). 3*k**3 - k**2 Let z(s) be the first derivative of 5*s**4/4 + s**3 - 3*s**2/2 - 2*s - 1. Let v = 4 - 11. Let i(d) = 11*d**3 + 7*d**2 - 7*d - 4. Calculate v*z(k) + 3*i(k). -2*k**3 + 2 Let l(i) = i**3 - 2*i**2 + 2*i - 2. Let v(z) = z**3 - z**2 + z - 1. What is -l(f) + 2*v(f)? f**3 Let a(u) = -3*u**2 - 2. Let g(b) = 1. Calculate -a(i) - 2*g(i). 3*i**2 Let p(i) = -2*i**2. Let v(x) = 2*x**2. Let h be 0/(3/(9/6)). Suppose -5*g - 5*k + k - 11 = h, -1 = 2*g + 5*k. Calculate g*v(a) - 2*p(a). -2*a**2 Let z(s) = -23*s**3. Let c(v) = -196*v**3. Determine -5*c(h) + 42*z(h). 14*h**3 Let n(u) = -14*u + 29. Let y(v) = 22*v - 44. Give -8*n(a) - 5*y(a). 2*a - 12 Suppose 5 = 4*g - 3. Let u be ((-3)/(9/(-12)))/g. Suppose 2 = -5*r + 2*r + u*i, 0 = r - i. Let h(b) = b - 1. Let q(n) = n**2 + n - 1. What is r*q(l) + 2*h(l)? -2*l**2 Let g(q) be the second derivative of -7*q**3/6 + q**2 - 4*q. Let m(b) = -20*b + 6. What is 14*g(u) - 5*m(u)? 2*u - 2 Let k(r) be the first derivative of -r**3/3 - r**2 + 3*r - 3. Let d(y) be the first derivative of k(y). Let u(o) = 3*o + 2. What is 4*d(x) + 3*u(x)? x - 2 Let w(s) = 1. Let c(v) = 2*v**2 - 2*v + 4. Suppose -q + 0 + 11 = 0. Let f = q - 10. Give f*c(u) - 4*w(u). 2*u**2 - 2*u Let u(w) = 2*w**3 - 3*w**2 + 2*w. Let g(s) = -4*s**3 + 7*s**2 - 5*s. What is -2*g(v) - 5*u(v)? -2*v**3 + v**2 Let w(l) = -3*l**3 - 13*l**2 - 3*l - 2. Let t(j) = 2*j**3 + 9*j**2 + 2*j + 1. Calculate 8*t(o) + 5*w(o). o**3 + 7*o**2 + o - 2 Suppose 3*a = -2*l - 1, -3*l + 1 + 2 = 3*a. Suppose 9*o = 11*o + 2. Let f(y) = -y + 2. Let n(u) = u - 1. Calculate a*n(i) + o*f(i). -2*i + 1 Let b(i) = -i**2 - 5. Let a(y) = -8 - y**2 - y + 12*y - 11*y. Determine -5*a(g) + 8*b(g). -3*g**2 Let q(g) = -5*g**2 + 2*g + 6. Let p be 7/((-7)/(-2)) + -4. Let s be (p - -3)*(4 + -3). Let z(b) = b**2 - 1. What is s*q(j) + 6*z(j)? j**2 + 2*j Let p(q) = -6*q - 2. Let w(u) = 17*u + 7. Give 7*p(v) + 2*w(v). -8*v Let t(q) = -q**2 + 2*q - 3. Let g(m) = -m + 1. What is -4*g(h) - 2*t(h)? 2*h**2 + 2 Let y(x) = -2*x**2 + 5*x. Let r be -6 + -4 - -2*1. Let k(l) = 3*l**2 - 8*l. Let o be -5*(-2 + 3 + 0). Calculate o*k(i) + r*y(i). i**2 Let q(z) = -z. Let d(h) = -2*h - 23. What is -2*d(v) + 2*q(v)? 2*v + 46 Let i(z) = -z**2 + z - 1. Let w(c) = 32*c**2 - 10*c + 10. Give 10*i(u) + w(u). 22*u**2 Let g(m) = -3*m**3 + 3*m**2 + 6*m + 6. Let z(f) = -3*f**3 + 2*f**2 + 5*f + 5. Determine 5*g(i) - 6*z(i). 3*i**3 + 3*i**2 Let f(r) = -r**3 + r**2 - r. Let y(u) = -u**3 + 2*u + 2. Determine -2*f(x) - y(x). 3*x**3 - 2*x**2 - 2 Let s(w) = 9*w - 8. Let x(h) = 1. Determine -s(i) - 6*x(i). -9*i + 2 Let b(r) be the first derivative of r**2 - 6*r - 5. Let a(y) = 1. Give 4*a(c) + b(c). 2*c - 2 Let u(q) = 3*q**2 - 5*q - 5. Let r(f) = 3*f**2 - 6*f - 6. Give 6*r(k) - 7*u(k). -3*k**2 - k - 1 Let g(y) = y. Let m(d) = -9*d. Let b(s) = -33*g(s) - 4*m(s). Let a be 2/4*(-4 - 0). Let x be 15/(-21) + a/7. Let q(o) = -o. Give x*q(u) - b(u). -2*u Let z(x) = x - 1. Let r(c) = 3*c**2 - 11*c + 11. Determine -2*r(u) - 22*z(u). -6*u**2 Let j(m) be the third derivative of -m**4/4 - 13*m**3/6 + 3*m**2. Let d(g) = 1. Let b(a) = 3*a + 11. Let v(w) = -b(w) + 5*d(w). Determine -6*j(h) + 13*v(h). -3*h Let l(g) = -g**2. Let n(k) = -10*k**2 + 2*k - 1. Let f(i) = 5*l(i) - n(i). Let z(c) = -16*c**2 + 7*c - 3. Give 7*f(r) + 2*z(r). 3*r**2 + 1 Let i(u) = 87*u**2 - 2*u - 2. Let l(h) = -88*h**2 + 2*h + 2. Determine 3*i(k) + 2*l(k). 85*k**2 - 2*k - 2 Let h(w) be the second derivative of -w**3/6 - w**2 - 3*w. Let f(i) = -i. Give -2*f(l) + h(l). l - 2 Let g(o) = 7*o**2 + o + 3. Let i(a) = -1. Calculate g(c) + i(c). 7*c**2 + c + 2 Let n(f) = f - 1. Let u(x) = x - 1. Let r = -50 - -46. Determine r*u(b) + 2*n(b). -2*b + 2 Let a(v) = -v**2 + v. Suppose 12*s - 15*s - 11 = 2*d, 0 = 4*s + 2*d + 12. Let r = -5 + 7. Let k(p) = 2. Calculate r*a(j) + s*k(j). -2*j**2 + 2*j - 2 Let i = -3 - -1. Let x be i - (-3 + -1)/2. Suppose x = 2*t - 4 - 0. Let k(u) = -u**3 - u**2 + u - 1. Let z(d) = -4*d**3 + 2*d - 3. Determine t*k(h) - z(h). 2*h**3 - 2*h**2 + 1 Let n(b) = -2*b - 3. Let i(d) be the second derivative of d**2/2 - d. Let f(z) = -z**2 - 7*z + 10. Let t be 2/3*(-1 + -11). Let u be f(t). Give u*i(o) + n(o). -2*o - 1 Let r(l) = l**3 + l**2 + 1. Let p be 3 - (1 - 1)/(-1). Let b(v) = 8*v**2 - p*v + 4*v**3 + 3*v + v + 6. Let d = -2 - -3. Determine d*b(g) - 6*r(g). -2*g**3 + 2*g**2 + g Let g(q) = -6*q**3 + 2*q**2 - 6*q + 7. Let a(m) = -5*m**3 + 2*m**2 - 7*m + 8. Give 6*a(r) - 7*g(r). 12*r**3 - 2*r**2 - 1 Let h(d) = -d**3 - 11*d**2 - 2*d - 3. Let v(x) = x**3 + x**2. Calculate h(j) + 3*v(j). 2*j**3 - 8*j**2 - 2*j - 3 Let t(l) = 64*l - 17. Let s(i) = 21*i - 6. What is -17*s(c) + 6*t(c)? 27*c Let h(z) = 2*z**2 - 2*z + 2. Let p(y) = y**2 + y - 1. Calculate -2*h(t) - 2*p(t). -6*t**2 + 2*t - 2 Let c(i) = i + 2. Let a be 2*(4 - 0)/2. Let l(r) = -1. Give a*l(n) + 2*c(n). 2*n Let p(c) = 2*c - 13. Let y(m) = -m + 1. Let k(u) = -5*u + 10. Let i(a) = k(a) - 4*y(a). What is -9*i(h) - 4*p(h)? h - 2 Let l(j) be the first derivative of -7*j**3/3 - 7*j**2/2 + j + 14. Let t(a) = a**2 + a. Calculate l(b) + 5*t(b). -2*b**2 - 2*b + 1 Let k(l) = -l**3 - 3*l**2 + 2*l + 2. Let b(t) = -t**3 - 4*t**2 + 2*t + 3. Determine -3*b(v) + 4*k(v). -v**3 + 2*v - 1 Let p(c) = 2*c - 6. Let l(n) = -7. Let q(h) = 20. Let r(t) = -17*l(t) - 6*q(t). Suppose -3*m - 4*k = 6, -4*m - 6*k - 12 = -2*k. Determine m*r(o) + p(o). 2*o Let z(w) = 4*w**3 - 4*w**2 - 2*w. Let v = -141 - -150. Let i(p) = -16*p**3 + 17*p**2 + 9*p. What is v*z(g) + 2*i(g)? 4*g**3 - 2*g**2 Let q(j) = -j**3 + 5*j**2 - 5*j - 6. Let f(i) = 2*i**3 - 4*i**2 + 4*i + 5. Determine -5*f(l) - 4*q(l). -6*l**3 - 1 Let f(t) = 4*t**3 - 16*t**2 + 3*t - 5. Let y(m) = -m**3 - m + 1. What is f(h) + 3*y(h)? h**3 - 16*h**2 - 2 Let t(y) = 3*y**2 - 9*y. Let w(k) = -4*k**2 + 3*k**2 + 6*k - k - k. Calculate -4*t(f) - 9*w(f). -3*f**2 Let t(g) = -77*g + 5. Let l(j) = -963*j + 63. Determine -5*l(n) + 63*t(n). -36*n Let g(b) = 6*b**2. Let a(v) be the first derivative of -v**4/4 + v**3/3 - 2. Let s be a(-1). Let r(c) = -4*c + s*c**2 + 4*c. Calculate -3*g(w) + 8*r(w). -2*w**2 Let m(t) = t**3 + t**2 + 1. Let v(g) = 2*g**2 + 11*g + 2. Determine 2*m(j) - v(j). 2*j**3 - 11*j Let t(p) = p**2 - 9*p + 7. Let r(x) = -2*x**2 + 19*x - 14. Determine 6*r(l) + 13*t(l). l**2 - 3*l + 7 Let d(x) = -45*x**2 + 55*x. Let j(w) = 5*w**2 - 6*w. Suppose -26*q + 28*q + 12 = 0. Calculate q*d(a) - 55*j(a). -5*a**2 Let j(h) = -h - 4. Let p(n) = 0*n - 3 + 3*n - 7*n + 3*n. Give -5*j(d) + 7*p(d). -2*d - 1 Let t(f) = -f**3 + f**2 + f. Let p(u) = -32*u**3 + 5*u**2 + 3*u. What is p(y) - 3*t(y)? -29*y**3 + 2*y**2 Let d = -51 + 54. Let q(z) = z**2 - z - 1. Let s(w) = -w**3 - w**2 + w + 1. Calculate d*s(g) + 3*q(g). -3*g**3 Let o(j) = 6*j**2 - 7. Suppose -2 = -3*p + 1. Let g(v) = -v**2 - v**2 + 7 + p - 6. Calculate -7*g(k) - 2*o(k). 2*k**2 Let q(n) = 0 + n**2 - 4*n**3 + 5 + 5*n**2 - 5*n. Let s(g) = 4*g**2 + g**2 + 8 - 3*g**3 - 4 - 4*g. Let x = -3 - 2. Determine x*s(j) + 4*q(j). -j**3 - j**2 Let d be 6/(-4)*(-2)/(-3). Let h(i) = 7*i + 6. Let w(v) = 13*v + 11. Let o(q) = 11*h(q) - 6*w(q). Let g(s) = 3*s. Calculate d*g(c) - 6*o(c). 3*c Suppose -7*l = -5*d - 2*l - 45, 3*d + 2*l + 12 = 0. Let u(p) = -8*p**2 - 11*p - 17. Let w(y) = 2*y + y + y + 3*y**2 + 6. What is d*u(q) - 17*w(q)? -3*q**2 - 2*q Let p(l) = -69*l**2 + 2*l + 2. Let b(k) = 35*k**2 - k - 1. Determine 5*b(r) + 3*p(r). -32*r**2 + r + 1 Let v(s) = 14*s**2 + 6*s - 4. Let j(i) = 29*i**2 + 11*i - 7. Calculate -4*j(l) + 7*v(l). -18*l**2 - 2*l Let j(n) = 109*n. Let h(a) = -54*a. Give 5*h(m) + 2*j(m). -52*m Suppose -13 = -2*v + v. Let z(h) = 11*h**2 + 13*h
{ "pile_set_name": "DM Mathematics" }
81*c - 97 for w. -20 Solve 5*l - 1 = -3*a + 38, 558 = -3*l - 13*a + 350 + 377 for l. 0 Solve -3*r = 17*u - 83, 0 = 428*r - 429*r - 3*u + 17 for r. 5 Solve 7*x - 21*h = 6*x + 46, -5*h + 4*h + 14 = 5*x + 2*h for x. 4 Solve 0 = -3*h + 201*u - 472 + 1162, 2*h + 0*u - 2*u - 2*u = 70 for h. 29 Solve -u = -132*g - 238*g + 1477, -7*g + 3 - 4 = g - 6*g - 3*u for g. 4 Solve -3*c + 3*y = -1707 + 1773, -22 = -138*c - y for c. 0 Solve d = -4*m + 17, -45*d = 3*m - 39*d - 186 for m. -4 Solve -w - 2*w - 2095 + 2090 = -t, -5*t = -w - 11 for t. 2 Solve 3*h + 38 = 3*t - 2*h + 6*h, 462*t - 3*h = 1299 for t. 3 Solve -v - 3*v = i, 10*i - 7*i - 3 - 67 = 2*v for v. -5 Solve -22*n - 5*z = 27, 3*n - 20*z + 36*z = 20*z + 1 for n. -1 Solve -567 = -2*v + 4*w - 559, 2*v = -w + 4*w + 6 - 2 for v. -4 Solve -24*q - 79 - 30 - 61 = k - 33, -41*k - 3*q + 248 = -3*k for k. 7 Solve -t - 143*a - 2 = 2*t - 139*a, 5*t - 5 = -15*a for t. -2 Solve 107*r + 0*v + 602 = v - 464, 208*r + 5*v = 212*r + 20 for r. -10 Solve 13431 - 13061 = 2*v + 46*h, -5*v = -2*h + 11 for v. 1 Solve 2*l - 18 = 9*l - 6*l - 2*w, 4*l + w = -36 for l. -10 Solve -14*q + j = 5*j + 60, -5*j - 864 = 8*q + 3*q - 776 for q. 2 Solve -2*m = -2*h + 10, -52*h + 52 - 21 = -m - 25 for h. 1 Solve -2*h = -3*b + 10, 2317*b + 3 + 9 = 2313*b + 3*h + 27 for b. 0 Solve 0 = -5*b + 20, -28*s + 83 - 40 = -21*s - 5*b for s. 9 Solve -m = 4*r + 21, m = -3*r - 61 + 37 + 6 for m. -9 Solve 0 = -549*k + 547*k - 3*t - 19, 0*k - t = -3*k - 23 for k. -8 Solve -7*r + 27 + 14 = r - 4*r - u, -232*r + 953 = -u for r. 4 Solve -5*z = 4*t - 493 + 469, -z = 4*t - 40 for t. 11 Solve -6036 = 4*u - 0*u + 3*w - 6114, -5*w = 4*u - 82 for u. 18 Solve 34*a - 11 = -3*j - 6*j + 7*j + 37*a, -2*j - 408 = 416*a for j. 4 Solve 0 = -4441*i + 4446*i - 2*p - 55, -4*i + 4*p + 80 = 0 for i. 5 Solve 4*s = -p + 115, 4*s - 84 = s + 123*p - 126*p for s. 29 Solve 7*y - 29 = r, -11*r - 12*r - 135 = 3*y - 20*r for y. -2 Solve -4*g - 2 = 3*a + 34, 8*g - a = -72 for g. -9 Solve -2*t + 32 = -13*y, 405*y = 391*y - 3*t - 19 for y. -2 Solve 473*s - 471*s + x + 67 = 0, -4*x = 5*s - 3*x + 91 + 84 for s. -36 Solve -d = 155559 - 155557, -2*d = -3*u - 26 for u. -10 Solve 4*h - 3*f - 83 = 0, 38432*h - 2*f - 38 = 38431*h - 7*f for h. 23 Solve 7*p - 5*p - 31 = -92*y + 99*y, -y - 3 = -p for y. -5 Solve 2*z + u = 13, 3*z + 16*u + 28*u + 168 = 80*u for z. 4 Solve -25 = 17270*q - 17269*q + 4*o, 57 = -8*q - 5*o - 34 - 55 for q. -17 Solve 2*q = 4*u + 6*q + 160, -160 = 4*u + 1444*q - 1441*q for u. -40 Solve 4 = -m - 2*z, -12934*m + 25868*m + 2*z - 8 = 12930*m for m. 4 Solve -3*t + 9*b = -25190 + 25406, 0 = 2*t - 4*b + 98 for t. -3 Solve 7*o - 2*o - 83 = -8*l, -4*l + 99 = 11*o - 6*o for l. -4 Solve 5*m + 24832*l - 20 = 24828*l, -3*m - l = 2 for m. -4 Solve 0 = 2*w - t + 1348374 - 1348426, -5*t = -3*w + 267 for w. -1 Solve -3*s - 1049 = 5*j + 5*j - 2*s, -4*j = 2*s + 141 + 277 for j. -105 Solve -14*t = -5*u - 66, -560*t = -557*t + 4*u + 3 - 7 for t. 4 Solve -5*j = -3*l + 51, 677*j = -10*l + 673*j + 232 for l. 22 Solve 34 = -202*y + 199*y + 5*a, a - 49 + 31 = 2*y for y. -8 Solve 10*v - v - 3*o + 237 = -15*o, v - 3*o + 25 = -5*o for v. -29 Solve 6*a = -5*z + 2*a - 29, 4*a - a + 63 = -12*z for z. -5 Solve -5*z = -f - 27, -3*f + 427 = 7*z + 398 for f. -2 Solve -134*r + 172 = -139*r - 4*p, -919*r - 3*p = -918*r + 129 for r. 0 Solve -125*c - a = -130*c - 4*a - 13, 5*c - 3*a = -9*a - 1 for c. -5 Solve -4011*i + 4013*i + 15 = -7*j, 6*j + 10*i = -46 for j. -1 Solve -2*i + 38 = 4*v, -85*i = v + 11121 - 12567 for v. 1 Solve -12 = -4*g + u, 0*u + 112 = 33*g - 7*u + 2*u for g. 4 Solve 5897*i - 175 = 2947*i + 2955*i - 23*q, -2*i = q + 70 for i. -35 Solve 0*a + 28 = a + 3*v - 9, -88755*v = -88754*v - 8 - 3 for a. 4 Solve 16*l + 311 - 223 = -2*j, 0 = 45*l - 2*j + 95 for l. -3 Solve 2*h + 0*i = -i + 4*i + 29, -14*i = -16*i - 18 for h. 1 Solve 0 = 4*q + 2*x + 32872 - 32846, 5*x = -15 for q. -5 Solve 9*p - 5*x + 10*x + 80 = 4*p, 0 = 2*x + 2 - 4 for p. -17 Solve -4*f + 44 = -3*u, 57229*u = -f + 57212*u - 93 - 38 for f. 5 Solve 0 = -32*z - 5*m - 61, -83164*z - 4*m + 16 = -83160*z for z. -3 Solve -2*h + q = 6*q + 31, 0 = -7*h - q + 9 - 2 for h. 2 Solve -4*t - 7 = 3*w, t - 920*w = -925*w - 40 for t. 5 Solve 2*a - 32*w - 88 = -29*w, 4*a + 3*w + 94 = 0 for a. -1 Solve -3*s - 9*s - 2122*n - 16 = -2121*n, -4 = n for s. -1 Solve -w - 2*q = -11, -15488*w + 2*q = -15490*w + 12 for w. 1 Solve -5*m - 9*x - 158 = 280, 8*m - 3*m - 3*x + 45 - 171 = 0 for m. -3 Solve -3*j + 5*x - 160 = 0, 2*j + 0*j - 3*x + 815 - 719 = 0 for j. 0 Solve 0 = -16*g - 0*k - k - 53, 608 = 5*g - 4*k + 305 + 298 for g. -3 Solve -8 = -3*r + 2*u, 12316 = 5*r + 5*u + 12286 for r. 4 Solve -14 = -467*d + 2*p, -d - 19*p + 14*p = 35 for d. 0 Solve 5*c = v + 175, 2*v = -5*c + 146062 - 145872 for c. 36 Solve 0 = -3*y - b + 3, 5*y + 16 = 122*b - 120*b - 12 for y. -2 Solve -1052238*q + 1052229*q - 52 = -v, 0 = q - v + 44 for q. -1 Solve 0 = 15*b + 4*x + 7, -3*x - x = 2*b - 5*x + 27 for b. -5 Solve -4476*h + 4473*h = 3*s - 15, -600*s - 4*h = -5384 for s. 9 Solve 5*o + 3*f = -41, 17319*f - 17324*f = -4*o + 19 for o. -4 Solve -9*z - 7*i + 3*i = -10 - 7, 4*i + 14 = -z - 9 for z. 5 Solve 4*d - 3 - 1 = 5*w, 2063*d - 3*w - 11 = 2052*d for d. 1 Solve 0 = -3*g + 81 + 24, 3466*g - 3462*g - 144 = -2*a for a. 2 Solve 5*x + 266595 - 266580 = -3*f, -5*x = f + 5 for x. 0 Solve i + 23*d - 12*d = 7*d - 10, -i = -i + 12*d + 36 for i. 2 Solve -5*i - 3*r = 3*r - 334, 0 = -i - 41*r + 226 for i. 62 Solve 4*v = -20, -o - 3*v + 285 = -8*o + 27*o for o. 15 Solve 366 = 4*x + 7*x - 7*u, -102*x + 2*u = -99*x - 105 for x. -3 Solve 5*l - 5 = -5*n, -79 - 10 = -3*l - 46*n for l. -1 Solve 215*o - 20*k + 1931 = -21*k, 76 = -4*o + 10*k for o. -9 Solve 0 = -5*l + 2570*z - 2577*z + 71, -z = -l + 7 for l. 10 Solve -2*g + 46*b - 49*b - 59 = 0, -1070*g + 1066*g + 4*b = 68 for g. -22 Solve w = -3*w - 2*m - 4, -40*m + 10 = -3*w - 52*m - 35 for w. 1 Solve -25*i = 3*n - 0*n - 27*i + 43, -697*i = -5*n - 693*i - 73 for n. -13 Solve -873*i + 8 = -879*i - 4*a, 0 = -5*a + 5 for i. -2 Solve 5*h + 51 = -4*l + 118, l = 3*h + 4 for h. 3 Solve -2*b = -4*u - 3*b + 14 - 33, b = -3*b + 20 for u. -6 Solve 732*x - 242*x - 244*x - 111 = 243*x + 3*w, -188 = -4*x + 5*w for x. -3 Solve 2*i - 217 + 67 = 16*m, -3*m = 2*i - 17*m - 132 for i. 3 Solve 778*n - 841*n = -3*s - 507, 2*s = n + 5*s - 5 for n. 8 Solve -20*q - 15*q = 3*g + 23*q + 1981, -g + 4*q + 133 = 0 for g. -3 Solve 4*j - 2 = j - 5*r - 0, 103*r - 14 = 2*j + 114*r for j. 4 Solve 3*k - 116 = 4*i, 0 = 594*i - 589*i - 4*k + 144 for i. -32 Solve -273*a = -552*a + 274*a + 13*b + 755, 0 = -4*a + 7*b + 400 for a. -5 Solve -2*p = 5*h - 45, 3*h + 1 + 7 = 2*p - 29 for p. 20 Solve 4*d - 96 = -4*p, -12245*d + 141 = 5*p - 12247*d for p. 27 Solve 2*a - 159 = -a + 14*x, -69 = 29355*a - 29348*a + 4*x for a. -3 Solve 283 = -4*w + u, -w + 70 - 92 - 75 = 5*u for w. -72 Solve 4*z + j - 55 = 0, -37829*z - 13 = -37827*z - 13*j for z. 13 Solve -4*u + 0*u + 121 = o + 71, 4*u + 3*o - 118 = 0 for u. 4 Solve 0*w - 4*w - 3*i - 3*i + 8 = -2*w - 4*i, 0*i = 3*i for w. 4 Solve -4*k = 8*k - 6*k - 11*k + 5*w - 25, w + 12 = -16*k for k. -1 Solve -3*a = -3*t, 8*t + 3*a = 4*t + 9*t - 4*t + 8*a + 18 for t. -3 Solve -4*r + 2*i = -58, -19*r + i - 7*i + 3*i = 37 for r. 2 Solve -2*h - 23 - 12 + 33 = -l, -3*l = -4*h + l for h. -2 Solve -423*y = -3*i - 420*y + 60, -4*i + 276 = 11*i + 9*y for i. 19 Solve 25*z + 12*z - 66*z - 4*u - 564 = -3*z, 0 = 2*z + 3*u + 38 for z. -22 Solve 3*j + 9*o = -108, 447*j + o = 446*j - 12 for j. 0 Solve 8 = 5*v - 4*a, 3*a - 6*a + 5 = -v for v. 4 Solve 4*x + 101 = -9*f, 4*x + 847 - 1730 = f - 854 for f. -13 Solve 42*l - 40*l - 4*v = -204 + 174, -5*l - 5*v = 0 for l. -5 Solve 2 = -3*x - 5*u - 100, -x - 34 = -u for x. -34 Solve -13 = 3*o + 2*h, -14 = -3*o + h + 6 - 18 for o. -1 Solve -5 = -z, 10*n + 12345 - 12830 = -5*z for n. 46 Solve 2*v - f = -3, 1484*f - 745*f - 738*f + 4 = 3*v + 5 for v. 2 Solve -4*n - 187 + 170 = -7*i, -13*n = -4*i - 1 - 0 for i. 3 Solve -4*q - 16 = -4*h, 316*h + 2 = 321*h + q for h. 1 Solve -12*i - 100 - 198 = -b + 107, -158 = -4*b + 5*i for b. -3 Solve -11*p - 357 = 3*c + 323, 4*c - 110 = 2*p for p. -61 Solve 0 = 13*l + 4*x + 116, -l - 35 + 12 = 4*x + x for l. -8
{ "pile_set_name": "DM Mathematics" }
p(d). Let s(t) = 3*t + 1. What is o*u(c) + 3*s(c)? -c + 3 Let g(l) = 30*l + 8. Let b(x) = -20*x - 5. Let n = -112 - -107. Calculate n*g(i) - 8*b(i). 10*i Let z(u) = -2. Suppose 6 = -4*y - 10, -7 = -k + 2*y. Let t = k - 1. Let d(f) = -f + 15*f + 5*f - 17*f - 3*f. Determine t*d(c) - z(c). 2*c + 2 Let q(j) = j**3 + 22*j**2 + 42*j + 11. Let x(g) = 4*g**2 + 9*g + 2. Give 2*q(b) - 11*x(b). 2*b**3 - 15*b Let h be (-3)/(-1*(-3)/(-8)). Let l(x) = x + 5. Let i(m) = 6. Let v(g) = -29. Let z(c) = 10*i(c) + 2*v(c). Give h*z(k) - 3*l(k). -3*k + 1 Suppose j - 3 = -2*r, r = -0*j - 4*j + 5. Let a(t) = -1. Let z(q) = -1. Let y(c) = 3*a(c) - 2*z(c). Let l(w) = 2*w + 14. Calculate r*l(o) + 12*y(o). 2*o + 2 Let z(y) = -308*y**2 - 30*y. Let l(m) = 134903*m**2 + 13146*m. Calculate -5*l(r) - 2191*z(r). 313*r**2 Let p(w) = -w - 24. Let y(z) = 5. Suppose 25*h - 4 = 46. What is h*p(k) + 11*y(k)? -2*k + 7 Let k(r) be the second derivative of -r**3/3 + r**2/2 - 24*r - 10. Let i(d) = d. Let g(z) = -4*z + 1. Let j(w) = -g(w) - 2*i(w). Determine 7*j(a) + 6*k(a). 2*a - 1 Let o(b) = -14*b**2 + 5*b + 8. Let f(u) = u - 3. Let z be f(-1). Let y be 10/z*160/(-50). Let j(l) = -2 + 2*l + 1 - 5*l**2 + 4. Determine y*j(r) - 3*o(r). 2*r**2 + r Let f(p) = 2*p + 3. Suppose 20*t + 100 = 15*t. Let u = -27 - t. Let v(q) = 3*q + 5. What is u*f(l) + 4*v(l)? -2*l - 1 Let u(t) = -2*t + 1. Let o(a) = a - 1. Calculate -3*o(p) - 4*u(p). 5*p - 1 Let t(u) = -63*u**3 - u**2 - 11*u. Let g(o) = o**3 + o. Calculate 22*g(r) + 2*t(r). -104*r**3 - 2*r**2 Let m(h) = -5*h + 8. Let r(n) = -26*n**2 - n + 1. Let s be r(1). Let x = 46 + s. Let a = -22 + x. Let p(o) = o - 2. Calculate a*m(t) - 9*p(t). t + 2 Let y(s) = -7*s**3 + s**2 - 7*s - 9. Let n(x) = 3*x**3 + 4*x + 4. Give -9*n(u) - 4*y(u). u**3 - 4*u**2 - 8*u Let x = -578 - -588. Let v(w) = 12*w**3 + 3*w**2 + 3*w - 3. Let g(q) = 36*q**3 + 10*q**2 + 10*q - 10. Give x*v(o) - 3*g(o). 12*o**3 Let y(o) be the first derivative of o**2/2 - 2*o + 328. Let l(c) = -c + 3. Determine 2*l(b) + 3*y(b). b Let m(l) = l + 3 + 5*l**2 - 19*l**2 + 8*l**2 - l**2. Let d(k) = -20*k**2 + 3*k + 8. Determine -3*d(n) + 8*m(n). 4*n**2 - n Let p(y) = -5*y**3 + 2*y**2 - 3*y - 2. Let w(q) = -6*q**3 + 2*q**2 - 4*q - 2. Suppose -16 = -6*z + 2. What is z*w(v) - 4*p(v)? 2*v**3 - 2*v**2 + 2 Let p(h) = 2*h - 3. Let d(v) = -1. Let l(t) = -2*d(t) + p(t). Suppose -3*x + 11 = -10. Let o(k) = -1 + 9 - 6*k - 5. Calculate x*l(w) + 2*o(w). 2*w - 1 Let n(c) = 23*c**2 - 2*c + 45. Let h(s) = -52*s**2 + 4*s - 92. Give -4*h(k) - 9*n(k). k**2 + 2*k - 37 Let z(h) = -7*h**3 + 6*h**2 - 4*h + 1. Let l(x) be the second derivative of x**5/20 - x**4/12 + x**3/6 + 131*x. What is 6*l(n) + z(n)? -n**3 + 2*n + 1 Let u(c) = -2*c + 2. Let g(b) = 63*b + 6. Calculate -3*g(n) + 9*u(n). -207*n Let v(d) = -103*d**2 + 2*d - 2. Let c(k) = 2783*k**2 - 55*k + 55. Determine -4*c(t) - 110*v(t). 198*t**2 Let y(l) = 7*l**2 + 5*l - 7. Let p = -31 + 26. Let h(a) = -a + 1. Give p*h(x) - y(x). -7*x**2 + 2 Let d(u) = -15*u - 21. Let y(q) = -q - 1. Let x(v) = -v**2 - 19*v - 17. Let c be x(-18). What is c*d(j) - 18*y(j)? 3*j - 3 Suppose 3*s - 20 = 7*s. Suppose 0 = -71*k + 1 - 72. Let t(m) = m**2 - m - 1. Let j(z) = -3*z**2 + 2*z + 4. What is k*j(y) + s*t(y)? -2*y**2 + 3*y + 1 Let d(h) = 5*h - 8. Suppose 350 = 4*b - 5*r, 5*r = -3*b - b + 330. Let j = b - 79. Let z(i) = i - 1. Give j*z(p) - d(p). p + 2 Let i(f) = 3*f**2 + 9*f - 5. Let z(r) = -4 + 17*r**2 + 3 - 15*r**2 - 2 + 5*r + 0. Calculate 4*i(v) - 7*z(v). -2*v**2 + v + 1 Let i(h) = 344 - 119 - 111 + h - 115. Let s(v) = -v**2 + 4*v - 3. Give 5*i(c) - s(c). c**2 + c - 2 Let h(r) = 2*r**3 - 12*r**2 + 2*r + 2. Let t(v) = v**2 + v + 1. Give -h(m) + 2*t(m). -2*m**3 + 14*m**2 Let d(g) = 3*g + 4. Let y(l) = 9*l + 11. Suppose 2*s - 5*q - 11 = 11, 5*q = 0. Give s*d(v) - 4*y(v). -3*v Let v(g) = 6*g**3 - g**2 + 2. Let t(p) = 38*p**3 + p**2 + 7*p + 18. Let m(h) = -37*h**3 - 6*h - 17. Let c(w) = -7*m(w) - 6*t(w). Determine -2*c(j) + 11*v(j). 4*j**3 + j**2 Let y(a) = -11*a**3 + 4*a**2 - 104*a - 9. Let x(n) = -5*n**3 + 2*n**2 - 52*n - 4. Determine -9*x(z) + 4*y(z). z**3 - 2*z**2 + 52*z Let w(d) = -d**3 - 2*d**2 + d. Let o(f) = 4*f**3 + 8*f**2 - 3*f - 1. What is o(p) + 3*w(p)? p**3 + 2*p**2 - 1 Let n(h) = -h + 1. Let g(d) = -d. Let c(q) = 6*q - 2. Let a(s) = -2*c(s) - 4*g(s). Let k be (-632)/79 + (-36)/(-3). Calculate k*n(m) - a(m). 4*m Let q(d) = 10720 - 5*d - 10720 - 9*d**3. Let f(k) = 77*k**3 + 42*k. Calculate 5*f(b) + 42*q(b). 7*b**3 Let c(r) = 267*r - 15. Let s(p) = -2669*p + 153. Give -51*c(h) - 5*s(h). -272*h Let f(o) = -5*o**2 + 5*o. Let x(q) be the third derivative of q**6/120 + q**5/60 - q**4/24 + 551*q**2. Determine -f(m) - 5*x(m). -5*m**3 Let i(p) = 25*p - 6. Let r(w) = -w**2 - 74*w + 17. Give 17*i(n) + 6*r(n). -6*n**2 - 19*n Let c(x) = -3*x - 17. Let k(r) = -2*r - 17. Give -5*c(w) + 6*k(w). 3*w - 17 Let z(m) = -30*m + 10. Let w(f) = -4*f + 1. Give -36*w(h) + 4*z(h). 24*h + 4 Let p(f) = f + 1. Let c be -5 + (-1 - -3) + -3. Let o(t) = -2*t - 9. Let y be o(c). Let l(g) = -5 + 36*g + y - 37*g. What is -l(v) - 3*p(v)? -2*v - 1 Suppose -h - 11*t - 9 = -15*t, 4*t = 3*h + 19. Let d(r) = 6*r + 3. Let y(q) = 12*q + 5. Determine h*d(b) + 3*y(b). 6*b Let q(i) = -6*i + 30. Let y(o) = -11*o + 60. Calculate -5*q(h) + 3*y(h). -3*h + 30 Let k(q) = 11*q**3 - 12*q - 5. Let h(r) = -2*r - 1. What is 6*h(f) - k(f)? -11*f**3 - 1 Let a(d) = 5*d**2 + 10*d. Suppose -3*g + 577 = 571. Let i be (-2 - -1 - 0) + 4. Suppose -m + 44 = i*m. Let q(l) = -l**2 - 2*l. What is g*a(z) + m*q(z)? -z**2 - 2*z Let r(c) = 7*c**2 - 2*c - 5. Let n(o) = 15*o**2 - 5*o - 12. What is -4*n(k) + 10*r(k)? 10*k**2 - 2 Let i(p) = p**2 + p - 1. Let c(u) = -11*u**3 - 8*u**2 - 7*u + 11. Determine c(s) + 6*i(s). -11*s**3 - 2*s**2 - s + 5 Let d(z) be the third derivative of -z**4/4 - 5*z**3/6 + 2*z**2. Let x be 53/(-11) - 32/176. Let s(q) = 7*q + 6. Give x*d(j) - 4*s(j). 2*j + 1 Let k(q) = -116*q + 1. Let t(i) = -350*i + 2. Calculate 11*k(l) - 4*t(l). 124*l + 3 Let n(f) be the third derivative of -f**4/12 - f**3/6 + f**2. Let g(x) be the second derivative of x**3/6 + 2*x - 7. Give -g(s) - n(s). s + 1 Let j(b) = 119*b - 10. Let g(d) = 58*d - 5. What is -5*g(m) + 2*j(m)? -52*m + 5 Let y(c) = -9*c**3 - 15*c**2 + 5*c. Let q(t) = 13*t**3 + 22*t**2 - 7*t. Let k = -2911 - -2918. What is k*y(o) + 5*q(o)? 2*o**3 + 5*o**2 Let m be 1/2*-20*(-6)/12. Let h(d) = 3*d**3 - 6*d**2 - 5*d - 3. Let x(j) = -j**3 + 3*j**2 + 2*j + 1. Give m*x(w) + 2*h(w). w**3 + 3*w**2 - 1 Let r(a) = -a**2 + 17*a - 44. Let i be r(3). Let j(g) = 3*g**3 - 2*g - 2. Let h(x) = -x**3 + x + 1. Calculate i*j(l) - 4*h(l). -2*l**3 Let i(v) = 31*v - 5. Let g be (7/(-21))/((-7)/273). Let u(d) = -78*d + 13. Calculate g*i(q) + 5*u(q). 13*q Let z(g) = -g - 1. Let b = -88 - -87. Let p(r) = -9*r - 8. Suppose 20 = -0*n - 5*n, -5*m + 2*n = -38. What is b*p(v) + m*z(v)? 3*v + 2 Let z(h) = -h. Suppose -4*v = -5*v - 1. Suppose 0 = -4*d - j + 55, 0 = 3*d - 5*j - 109 + 39. Let w = 14 - d. Let p(f) = -2*f**2 + 2. Calculate v*z(m) + w*p(m). 2*m**2 + m - 2 Let p be 2 + 1 + -23 - 1. Let z = -10 - p. Let s(n) = 13 - 2*n - 8*n**2 - z*n + 21*n**2 + 0. Let y(d) = -7*d**2 + 7*d - 7. Determine 6*s(v) + 11*y(v). v**2 - v + 1 Let u(m) = 3*m**3 + 6*m**2 + 5*m. Let p(n) = 3*n**3 + 5*n**2 + 4*n. Let o = 125 + -122. What is o*u(b) - 4*p(b)? -3*b**3 - 2*b**2 - b Let z(j) = -5*j - 17. Let u(g) = -4*g - 17. Give 4*u(a) - 3*z(a). -a - 17 Let z(v) = 40*v**3 + 27*v**2 + 34*v + 53. Let g(k) = 14*k**3 + 9*k**2 + 12*k + 18. Give 17*g(f) - 6*z(f). -2*f**3 - 9*f**2 - 12 Let i(l) = 75*l. Let z(r) = -378*r. Determine -22*i(p) - 4*z(p). -138*p Let n(j) = j**2 - 224*j + 1718. Let l be n(8). Let a(g) be the third derivative of g**5/60 + g**4/24 - g**2. Let y(m) = 16*m**2 + 10*m. Give l*a(r) + y(r). 6*r**2 Let b = -7535 + 7536. Let o(l) be the first derivative of -1/2*l**2 + 1/3*l**3 + l + 1. Let a(w) = -4*w**2 + 5*w - 5. Calculate b*a(p) + 6*o(p). 2*p**2 - p + 1 Let a(m) = -3*m + 3. Let w(b) = -7*b + 7. Suppose l - 24 = 2. Let g = l - 24. Determine g*w(h) - 5*a(h). h - 1 Let z(r) = 223*r**2 - 7*r. Let v(x) = 222*x**2 - 6*x. Calculate -6*v(j) + 5*z(j). -217*j**2 + j Let k(l) = -2*l**3 + 3*l**2 - 3*l - 3. Let g(n) = -5*n**3 + 7*n**2 - 7*n -
{ "pile_set_name": "DM Mathematics" }
0000 Round 4057.909 to 0 decimal places. 4058 What is 14715 rounded to the nearest one hundred thousand? 0 Round 0.01843203 to two decimal places. 0.02 What is 28383777 rounded to the nearest 1000000? 28000000 What is 276031.2 rounded to the nearest 100? 276000 What is -2515.4322 rounded to the nearest 1000? -3000 Round 5438547.6 to the nearest one hundred thousand. 5400000 Round -147.18803 to the nearest ten. -150 Round 7868.03 to the nearest 1000. 8000 Round 0.046925 to one decimal place. 0 Round 1.164364 to 2 decimal places. 1.16 Round 363379600 to the nearest 100000. 363400000 Round 1.1996587 to one dp. 1.2 What is 83.388974 rounded to the nearest 10? 80 Round -0.0054153 to two dps. -0.01 What is 406.3636 rounded to zero decimal places? 406 Round 0.00003896475 to 5 dps. 0.00004 Round 3734240 to the nearest 1000000. 4000000 Round -421.259 to zero decimal places. -421 Round 0.0693094 to 3 decimal places. 0.069 What is -0.0013690429 rounded to four dps? -0.0014 What is 11318.21 rounded to the nearest 100? 11300 What is -522160 rounded to the nearest 10000? -520000 What is 2711950 rounded to the nearest 1000000? 3000000 Round -0.01142818 to four dps. -0.0114 Round -0.0000123452 to five dps. -0.00001 What is -0.00004780551 rounded to 6 dps? -0.000048 Round -135.8681 to 1 decimal place. -135.9 Round 0.000017938356 to 7 dps. 0.0000179 What is -2607999900 rounded to the nearest 1000000? -2608000000 Round -5091573 to the nearest one hundred thousand. -5100000 What is -351.5703 rounded to the nearest 100? -400 What is -0.000682484 rounded to 6 dps? -0.000682 Round -0.000011596 to 7 dps. -0.0000116 Round -10628.442 to the nearest ten. -10630 What is -13236400 rounded to the nearest 1000000? -13000000 What is 1745.889 rounded to the nearest ten? 1750 Round -0.18472798 to four decimal places. -0.1847 What is 2.27871 rounded to three dps? 2.279 What is -0.0000030253372 rounded to 6 decimal places? -0.000003 What is -961.9702 rounded to the nearest one hundred? -1000 What is 0.598692 rounded to 3 dps? 0.599 What is 766.0458 rounded to the nearest ten? 770 Round -189.703 to 0 dps. -190 What is -0.1888676 rounded to three decimal places? -0.189 Round -42852000 to the nearest 1000000. -43000000 Round 1078404120 to the nearest 100000. 1078400000 What is -0.00000012545 rounded to 7 dps? -0.0000001 Round 16.178122 to one dp. 16.2 What is 30.7763 rounded to one dp? 30.8 What is -1026.326 rounded to the nearest 10? -1030 What is -4689660 rounded to the nearest 100000? -4700000 What is -0.0002429149 rounded to 5 decimal places? -0.00024 What is 104259 rounded to the nearest one hundred thousand? 100000 Round 0.0002095 to 2 decimal places. 0 Round 150.9126 to one decimal place. 150.9 Round 23008870 to the nearest 10000. 23010000 What is 415.9175 rounded to the nearest integer? 416 What is -1542.751 rounded to the nearest 10? -1540 What is 1.08593 rounded to three decimal places? 1.086 What is 0.10975 rounded to two decimal places? 0.11 Round 6382400 to the nearest 10000. 6380000 Round -23220000 to the nearest 1000000. -23000000 What is -226.7397 rounded to the nearest 10? -230 Round 115039392 to the nearest ten thousand. 115040000 What is 0.4813472 rounded to 2 dps? 0.48 What is -0.000123475 rounded to 5 decimal places? -0.00012 Round 6795.76 to the nearest 100. 6800 What is -161854110 rounded to the nearest 100000? -161900000 What is 0.000000347949 rounded to 7 decimal places? 0.0000003 Round -164458200 to the nearest one million. -164000000 Round -15340.1 to the nearest one hundred. -15300 What is -46.389 rounded to 1 dp? -46.4 What is 11613184 rounded to the nearest 10000? 11610000 Round 2733.926 to 0 dps. 2734 What is -0.000003391056 rounded to 7 decimal places? -0.0000034 Round -0.0005219804 to six dps. -0.000522 Round -6576.05 to the nearest ten thousand. -10000 Round -51451093 to the nearest 10000. -51450000 What is 4448.44 rounded to the nearest 10? 4450 What is -89286 rounded to the nearest 100000? -100000 What is -0.0000910457 rounded to six decimal places? -0.000091 Round -0.0001332588 to 5 decimal places. -0.00013 Round 28.22376 to the nearest integer. 28 What is -2190119.6 rounded to the nearest 10000? -2190000 What is -9519860 rounded to the nearest ten thousand? -9520000 What is 2446000 rounded to the nearest one hundred thousand? 2400000 What is -0.003805262 rounded to six decimal places? -0.003805 Round 0.0000094094 to seven dps. 0.0000094 Round -0.00009045 to five dps. -0.00009 What is 297229700 rounded to the nearest 1000000? 297000000 Round 0.0003258566 to 4 dps. 0.0003 What is 64681.2 rounded to the nearest 1000? 65000 Round 34885.2 to the nearest 1000. 35000 What is -1.8258875 rounded to one dp? -1.8 What is -0.241116 rounded to 3 decimal places? -0.241 What is 49511090 rounded to the nearest one hundred thousand? 49500000 Round 0.0000241391 to 6 dps. 0.000024 Round 1320435.4 to the nearest one thousand. 1320000 What is 425272 rounded to the nearest 10000? 430000 What is -397.4382 rounded to the nearest 10? -400 Round -0.0568966 to 3 dps. -0.057 What is -58450.4 rounded to the nearest 10000? -60000 Round 0.0001817543 to 4 dps. 0.0002 Round -201.57 to the nearest 100. -200 Round 1054666.6 to the nearest 1000. 1055000 What is -1003.2702 rounded to 0 decimal places? -1003 Round 14.374479 to 2 dps. 14.37 Round -16.0457 to 1 dp. -16 What is 2.629958 rounded to two dps? 2.63 What is -85330.41 rounded to the nearest ten thousand? -90000 What is -0.00061454 rounded to three decimal places? -0.001 What is -2.19203 rounded to the nearest integer? -2 Round -0.000095294 to six dps. -0.000095 Round 4507.03 to the nearest 100. 4500 What is 0.00013204825 rounded to 6 dps? 0.000132 What is 0.000141239 rounded to 5 decimal places? 0.00014 Round -221.549 to the nearest ten. -220 Round -0.000554491 to 4 dps. -0.0006 What is -0.042090047 rounded to 3 decimal places? -0.042 Round -35672210 to the nearest 1000000. -36000000 What is 1346630 rounded to the nearest one thousand? 1347000 Round -0.000409203 to 5 dps. -0.00041 Round 728785.6 to the nearest ten thousand. 730000 What is 25.65015 rounded to the nearest integer? 26 What is 0.0047776 rounded to 3 decimal places? 0.005 Round -3.56192 to 2 decimal places. -3.56 Round -0.05227199 to 4 decimal places. -0.0523 Round 0.000005613944 to 7 dps. 0.0000056 What is -8820.97 rounded to the nearest ten? -8820 Round 17269.51 to the nearest one hundred. 17300 Round 13685.055 to the nearest one thousand. 14000 What is 25.3129 rounded to 1 decimal place? 25.3 Round 54913.799 to the nearest one hundred. 54900 What is -0.097717 rounded to 3 decimal places? -0.098 Round -16595007 to the nearest 1000000. -17000000 What is -53632.78 rounded to the nearest one hundred? -53600 What is 7628.4 rounded to the nearest one hundred? 7600 What is 126847.3 rounded to the nearest 100? 126800 What is -0.06714747 rounded to 4 dps? -0.0671 Round -21357.322 to zero decimal places. -21357 What is 0.00003512185 rounded to 6 decimal places? 0.000035 Round -0.000194845 to 6 dps. -0.000195 What is 282.8416 rounded to the nearest one hundred? 300 What is -0.000069767798 rounded to seven dps? -0.0000698 Round -17.86644 to 1 decimal place. -17.9 Round -10.8108 to the nearest integer. -11 Round 0.002541886 to five dps. 0.00254 Round -0.007581804 to six decimal places. -0.007582 What is 0.193662 rounded to 2 decimal places? 0.19 Round -10.9893 to the nearest ten. -10 What is -4337110 rounded to the nearest one hundred thousand? -4300000 Round 0.297646 to three decimal places. 0.298 What is -790820.5 rounded to the nearest 100000? -800000 What is 179160400 rounded to the nearest 100000? 179200000 What is 0.03217528 rounded to 2 dps? 0.03 What is 0.0338144 rounded to 3 dps? 0.034 What is -0.00000086876 rounded to seven decimal places? -0.0000009 What is 72213662 rounded to the nearest one million? 72000000 Round -0.0000053938861 to six decimal places. -0.000005 Round -0.0005815942 to five decimal places. -0.00058 What is -7255.528 rounded to the nearest 1000? -7000 Round -1868029000 to the nearest 1000000. -1868000000 What is 0.0503762 rounded to two decimal places? 0.05 Round -0.000000629764 to seven decimal places. -0.0000006 Round 540.564 to zero de
{ "pile_set_name": "DM Mathematics" }
lue in -21/8, -0.3, -5/7, -1/2, 2/21? 2/21 Which is the second smallest value? (a) 32.3 (b) 1 (c) 1/4 b Which is the second biggest value? (a) 0.3 (b) -1/2 (c) 1/4 (d) 1/39 c What is the second biggest value in -2/131, -2/9, -102? -2/9 What is the smallest value in 1/6, 0.15, -15, 2, -0.4? -15 What is the fifth smallest value in 18, 1/3, -5, 0.02, -0.041? 18 Which is the biggest value? (a) 2 (b) -99 (c) -1/7 (d) -3 a Which is the smallest value? (a) -10 (b) 8 (c) 1 (d) 4 (e) 0 a Which is the smallest value? (a) -3 (b) -0.2 (c) -5 (d) 1.567 (e) -1/8 c Which is the second smallest value? (a) -2.6 (b) -7/5 (c) -1/9 (d) 0.01 (e) 2 b Which is the fourth biggest value? (a) 0.2 (b) 8 (c) 2 (d) -2 (e) -3.7 d What is the third smallest value in 0.06, 0, -25, 0.05, 60? 0.05 What is the third biggest value in 2/3, 0.2, -13, 930? 0.2 What is the sixth biggest value in 0.47, -47/5, -4, 2/17, 5, 2? -47/5 Which is the second smallest value? (a) -2/3 (b) -2/185 (c) 5 (d) 2/9 (e) -1 a What is the third biggest value in -0.2, 30/7, -11794? -11794 What is the third biggest value in -19, -5907, -2? -5907 What is the biggest value in -2, -0.77, -1/11, 0.0592? 0.0592 What is the third biggest value in -5, -4, -2/9, 7, -31, 10? -2/9 What is the third smallest value in 2, 0.04, 1312? 1312 What is the fourth smallest value in 4, 5, -0.4, -2, 182/3, 1? 4 Which is the fifth biggest value? (a) 20266 (b) -2/5 (c) 1/2 (d) -5 (e) -1 d Which is the fourth biggest value? (a) 6376 (b) -13 (c) -3 (d) -0.3 (e) 1 c What is the third smallest value in 2/17, -364, -38? 2/17 Which is the biggest value? (a) -18 (b) 6 (c) 1 b What is the second smallest value in -35080, 4, 1/3? 1/3 Which is the fifth biggest value? (a) 0.6 (b) 1 (c) -36.6 (d) -5 (e) 3 (f) -4 d Which is the fourth smallest value? (a) 2 (b) -2 (c) 0.2 (d) -0.2 (e) -33 (f) -5/4 d What is the third biggest value in 1/2, 0.2, -1/7244, 6/29? 0.2 What is the biggest value in 2/5, 0.9, -3/5, -2/11, 1, 45? 45 What is the smallest value in 0.02, 1.5, -26, -5, -3/2? -26 Which is the fourth smallest value? (a) 0.07 (b) -1/22 (c) -4 (d) -5 a What is the smallest value in -4617, -3, -1/7? -4617 Which is the smallest value? (a) 36 (b) 5 (c) -2 (d) -5 (e) -4 d Which is the fourth biggest value? (a) 4 (b) 0.05 (c) 3024 (d) 0.3 b What is the fourth biggest value in 4/15, 0.01, -2/7, 4, -3? -2/7 What is the third smallest value in 153, 0.051, 9? 153 Which is the third biggest value? (a) -3 (b) 3 (c) 1.1461 a Which is the second biggest value? (a) -3/2 (b) -5 (c) -0.5 (d) 5 (e) 2 (f) 0.3 e What is the fourth smallest value in -0.3, -9, -58/3, -1/8, -4? -0.3 Which is the third smallest value? (a) 0.1 (b) -77 (c) -1/9 (d) 28 (e) 4 (f) 3/4 a Which is the third biggest value? (a) 7/10 (b) 2/3 (c) 113 b Which is the third smallest value? (a) -4 (b) -0.5 (c) 2.8 (d) 165 c Which is the third biggest value? (a) -4 (b) -3 (c) 2/11 (d) -1/33 (e) -5 (f) 0 d Which is the fourth biggest value? (a) -0.4 (b) -3/5 (c) 5 (d) 4/9 (e) 1 a Which is the smallest value? (a) -5 (b) -5/3 (c) -38.7 (d) 12 c What is the second biggest value in -19, -1/4, 2, 6, -7? 2 Which is the third smallest value? (a) 4 (b) 692 (c) -4 (d) 11 (e) 0.3 (f) 1 f What is the second biggest value in -4, -1/6, -7/6, 0.2545? -1/6 Which is the fourth biggest value? (a) -2/13 (b) -2 (c) -2/3 (d) 2/3 (e) 9 c What is the second biggest value in 3, 8, 0.7, 631? 8 What is the third biggest value in -10, -4/5, 45, -2, 3/7? -4/5 What is the fifth biggest value in -0.5, -5, -85, -1/7, -42? -85 Which is the second smallest value? (a) -4 (b) 32 (c) 1/788 (d) -5 a Which is the second biggest value? (a) -8 (b) -5 (c) 31 (d) -574 b What is the fourth smallest value in 0.4, 2, -0.2, 59, -5/4? 2 Which is the biggest value? (a) -1/4 (b) -127 (c) 0.046 c Which is the second smallest value? (a) -1280 (b) 2 (c) -35 (d) 5 c Which is the biggest value? (a) -2.5 (b) -12 (c) 2156 c Which is the biggest value? (a) 2 (b) 1/12121 (c) 1 a What is the biggest value in -0.5, 4, 10, -5, 1/9? 10 Which is the third biggest value? (a) -41/9 (b) -0.4 (c) 3 (d) -2/55 b Which is the biggest value? (a) 4/13 (b) -95 (c) 4 c What is the third smallest value in 3, 409, -2? 409 Which is the second smallest value? (a) -0.5 (b) 0.6 (c) -1/3 (d) 1/5 (e) 105/11 c What is the second smallest value in 0.5, 3/4, -0.034, 5, 1/15, 2? 1/15 Which is the fourth biggest value? (a) 3 (b) -1 (c) -190 (d) -5 (e) -23 e Which is the third smallest value? (a) -49 (b) -2/7 (c) -655 (d) -0.2 b Which is the fifth biggest value? (a) -10 (b) 2056 (c) -1/9 (d) -3 (e) 5 (f) -1 d Which is the third biggest value? (a) 0.5 (b) 452 (c) 4 (d) 10 c What is the sixth smallest value in 25/6, -3/11, -0.1, 1, 1/7, 3? 25/6 What is the second biggest value in -2/7, -2151, 1.3? -2/7 What is the fifth smallest value in 1/2, -2/5, -2241, 5, 2? 5 What is the fifth smallest value in 3, -3/4, -0.07, -2/25, 1/10? 3 What is the second smallest value in 0, -0.06, -0.02, -2/19, -4/11? -2/19 Which is the biggest value? (a) -793 (b) 14 (c) 2 (d) 5 b Which is the biggest value? (a) -277 (b) -4 (c) -1 c Which is the second smallest value? (a) 9 (b) -143 (c) -5 (d) -4 c What is the second biggest value in 2/13, 2, 5, 2.132? 2.132 What is the third biggest value in 6, 8/7, -7? -7 Which is the biggest value? (a) 2.3 (b) 4 (c) -2 (d) -2233/2 b Which is the third biggest value? (a) -3 (b) -1101 (c) 4 (d) 131 a What is the fourth biggest value in -670, 28/3, -9, 3/8? -670 Which is the smallest value? (a) 4 (b) 1/3 (c) -14 (d) 4/9 (e) 5 (f) -5/18 c Which is the fourth biggest value? (a) -0.87 (b) -227 (c) -0.1 (d) 0.06 b Which is the fifth biggest value? (a) -2/25 (b) -6 (c) 1/9 (d) -438 (e) -0.5 d Which is the third biggest value? (a) 32530/11 (b) -2/7 (c) -3/7 c What is the fourth smallest value in -0.3, -1, -0.4, 169/5? 169/5 Which is the biggest value? (a) -2/11 (b) 1/2 (c) -2/31 (d) -1.1 b Which is the second biggest value? (a) -2/11 (b) 120 (c) -9.8 a What is the second biggest value in 1/5, -7, 0.4, 0, -154? 1/5 What is the second smallest value in 2, -0.6985, 26? 2 What is the fourth biggest value in 0.08, 4, -161, -0.2? -161 What is the fifth smallest value in 2, 0.018, 1, 5, -38/7? 5 Which is the third smallest value? (a) 10 (b) 0.01 (c) -3 (d) 1 (e) -7/5 b What is the smallest value in -52, -4/17, 4, -17? -52 What is the fourth smallest value in 1/5, 3, -0.07, -4? 3 What is the third smallest value in 3.7, -2, 1222? 1222 Which is the third smallest value? (a) 2/9 (b) -63 (c) -0.7919 a What is the fourth smallest value in 5, -2, -3/11, 2/49, 4, -41/3? 2/49 Which is the fourth smallest value? (a) 1 (b) 0.4 (c) 10 (d) 0.2 (e) -1/3 a What is the biggest value in -2/17, -2, -68, -14, 0.8? 0.8 What is the smallest value in -705, -15, 1? -705 Which is the second biggest value? (a) 2/5 (b) -10 (c) 14/55 (d) 0.2 c What is the third biggest value in -2/83, 0, 1/631? -2/83 What is the second biggest value in 5, -0.1, -1890.7? -0.1 What is the third smallest value in -7/4, 346/5, 2/15? 346/5 What is the third biggest value in -3/5, -0.3, 2/199, -11, 9? -0.3 Which is the third biggest value? (a) 0.4 (b) -0.3 (c) -14.2 (d) 4/7 (e) -1/4 e What is the fifth smallest value in -1/2, 1/8, 4/3, 5, -19/42, -2/5? 4/3 What is the second biggest value in 46, 1, -2/13, 4, 3? 4 Which is the third biggest value? (a) -27 (b) -36 (c) 1/6 b Which is the smallest value? (a) -1.4 (b) 0.2 (c) 5 (d) 2/25 (e) 3 a Which is the fourth biggest value? (a) -3 (b) 3 (c) -309 (d) -4 (e) -0.5 (f) 0.8 a What is the third smallest value in 0.4, 4, 1657, -2, 0.2? 0.4 What is the third biggest value in -37007, 2/3, 2/9? -37007 Which is the third biggest value? (a) 2 (b) -4 (c) 59326 b What is the fourth smallest value in 1/9, -1, 181, -10? 181 What is the third smallest value in -4, -7, 666, 4? 4 Which is the fourth biggest value? (a) -4/7 (b) -0.2 (c) 0.5 (d) 419 (e) -0.4 e Which is the biggest value? (a) -4 (b) 72 (c) 98 c Which is the second biggest va
{ "pile_set_name": "DM Mathematics" }
rt -16031554 (base 7) to base 9. -2802654 What is -4679a (base 11) in base 16? -107b2 What is -10223113 (base 4) in base 15? -5a24 Convert -470468 (base 14) to base 3. -11120000002210 Convert -b249c (base 14) to base 7. -3434455 Convert -689cc1 (base 14) to base 8. -15454021 Convert -2bb82 (base 14) to base 11. -75121 -44b8d (base 15) to base 14 -5994c Convert -33481 (base 9) to base 5. -1203032 Convert -55607b (base 12) to base 5. -321431203 Convert a6392 (base 12) to base 6. 4402302 What is -25264340 (base 7) in base 4? -20231311202 What is -2570367 (base 8) in base 6? -23211355 Convert -10101010100011110011 (base 2) to base 6. -22550151 Convert 211212200002 (base 3) to base 15. 8d63b What is -52a14 (base 16) in base 11? -211314 -23950 (base 11) to base 15 -a2e9 Convert 3666a (base 11) to base 10. 52711 What is -41534050 (base 7) in base 5? -1344120331 -66168 (base 10) to base 5 -4104133 -39390a (base 13) to base 9 -2531627 Convert 11111011000 (base 3) to base 5. 10311232 Convert 13e49b (base 15) to base 8. 3522072 What is 19c31a (base 13) in base 16? 9ff84 16d56b (base 14) to base 7 6562064 Convert 1051114204 (base 6) to base 15. 102c764 What is 204320214 (base 7) in base 15? 10d2020 What is 11100101001101100001000 (base 2) in base 14? dd7252 363105 (base 10) to base 7 3041421 3b7bd (base 16) to base 11 157066 Convert 34313 (base 8) to base 4. 3203023 Convert 235361 (base 7) to base 9. 64538 -2667819 (base 10) to base 6 -133103003 Convert -21121321 (base 5) to base 8. -530515 -1212331120 (base 4) to base 15 -84e4a -74d90 (base 16) to base 2 -1110100110110010000 Convert 6c05e (base 15) to base 13. c0968 What is -33834 (base 12) in base 5? -4143314 What is -22932 (base 10) in base 15? -6bdc a4252c (base 16) to base 9 22215358 What is 10100001100001001 (base 2) in base 16? 14309 3b44a3 (base 13) to base 4 11132333033 3211e6 (base 15) to base 5 1102230231 20040050 (base 6) to base 5 121040321 Convert -100111010111110001011011 (base 2) to base 4. -213113301123 What is -532a5b (base 13) in base 7? -22363125 -232143413 (base 5) to base 4 -10001010313 -216767a (base 11) to base 10 -3802149 Convert -424404324 (base 5) to base 14. -349cb1 What is a3c62 (base 13) in base 16? 47da5 Convert -2ca8a (base 14) to base 13. -3bba3 What is 603519 (base 10) in base 16? 9357f What is -27433 (base 13) in base 2? -10001111000000011 What is 4604c6 (base 16) in base 6? 242204102 Convert 327317 (base 9) to base 16. 2fc2f Convert 5313505 (base 6) to base 9. 433825 What is -1231224020 (base 5) in base 9? -5560702 -1b7bb (base 15) to base 7 -521636 Convert 11010101110110100100111 (base 2) to base 12. 241b347 103072 (base 13) to base 7 3132655 -54220525 (base 7) to base 14 -886315 2102111122 (base 3) to base 4 23222021 Convert 145622 (base 8) to base 6. 1041134 Convert 1205277 (base 8) to base 5. 41033211 -1011001011110101100 (base 2) to base 15 -738dd -145720 (base 9) to base 7 -522000 Convert 5abd8 (base 15) to base 7. 2314115 1033310211 (base 4) to base 13 b5a7c 502365 (base 10) to base 13 147876 2000021010211 (base 3) to base 12 436134 What is 20122120112 (base 3) in base 10? 130910 Convert -6178680 (base 10) to base 7. -103342434 What is 325080 (base 10) in base 8? 1172730 What is -62908 (base 13) in base 14? -48877 Convert -1020210102022 (base 3) to base 4. -2202121001 What is 319032 (base 13) in base 2? 100011011110000001110 Convert 110111110201 (base 3) to base 14. 65928 Convert 3b440 (base 14) to base 3. 21102122111 -1000000100101010001000 (base 2) to base 4 -20010222020 152915 (base 10) to base 13 547a9 Convert -2345 (base 15) to base 9. -11242 3042022 (base 6) to base 10 145598 Convert 1001101100001100001 (base 2) to base 16. 4d861 230503 (base 6) to base 12 b433 What is 9a5c1 (base 14) in base 7? 3116231 Convert -8d37a6 (base 15) to base 5. -3211314411 Convert -1002511 (base 6) to base 12. -23437 -4676320 (base 9) to base 13 -6a7b11 -6bb0 (base 16) to base 14 -a092 Convert -13112214024 (base 5) to base 8. -75424445 What is 10012020101012 (base 3) in base 5? 413304022 What is 112211212120 (base 3) in base 9? 484776 a26051 (base 16) to base 9 22018336 Convert 35110504 (base 6) to base 14. 202624 What is -84a02 (base 13) in base 15? -4ac13 What is -42121203 (base 5) in base 12? -149693 -36a47 (base 11) to base 13 -1b280 What is 14044370 (base 9) in base 8? 32357127 Convert -870a93 (base 11) to base 13. -3998bb Convert 911106 (base 10) to base 13. 25b921 -24100425 (base 7) to base 5 -1021302304 620783 (base 9) to base 3 200200212210 Convert -1602522 (base 7) to base 11. -13a95a -7462487 (base 9) to base 14 -760b66 -15321001 (base 6) to base 13 -15b659 Convert -84086 (base 14) to base 5. -40142142 What is -d10a87 (base 15) in base 3? -200200020101001 Convert 20442304 (base 5) to base 14. 46759 1b502 (base 12) to base 10 40466 331320 (base 9) to base 15 3d930 142182 (base 9) to base 12 42362 Convert -265613 (base 7) to base 9. -75568 What is 7355227 (base 9) in base 3? 21101212020221 -87b586 (base 12) to base 6 -114111450 -20313033 (base 5) to base 12 -8052b -94915 (base 11) to base 7 -1113624 413302124 (base 5) to base 13 475651 What is 5315230 (base 6) in base 3? 111011101100 Convert 117570 (base 11) to base 12. 8b563 What is -34121 (base 16) in base 14? -57a25 Convert -1002020022 (base 4) to base 5. -32131413 Convert 211220201 (base 4) to base 7. 1211255 Convert -6012a15 (base 11) to base 6. -1020115451 6998d4 (base 14) to base 10 3599138 Convert 20331223100 (base 4) to base 14. 452492 251003315 (base 6) to base 14 8d1819 Convert -347eb (base 15) to base 9. -274275 -141989 (base 12) to base 2 -1010001110000111001 Convert -574751 (base 8) to base 6. -4103001 223851 (base 9) to base 3 20210221201 Convert 8013ca (base 13) to base 9. 5531431 -1682188 (base 9) to base 8 -3453502 4b0748 (base 14) to base 2 1001110100101111001100 -527322 (base 9) to base 14 -82497 What is 764477 (base 9) in base 3? 212011112121 What is 11032103300 (base 4) in base 9? 2516325 Convert 772a (base 14) to base 5. 1124433 What is 309132 (base 10) in base 12? 12aa90 -1334413 (base 8) to base 5 -44000201 Convert -1011100122011 (base 3) to base 9. -1140564 Convert 152787 (base 9) to base 8. 267406 Convert 368068 (base 16) to base 9. 6643544 What is 4e8011 (base 15) in base 3? 21002200221121 Convert 110001101001110100111 (base 2) to base 5. 404031142 Convert 12051775 (base 8) to base 9. 4867381 Convert -2464054 (base 8) to base 12. -28a838 1070b85 (base 12) to base 4 23330312111 2513325 (base 7) to base 6 10531013 What is 10101121221112 (base 3) in base 2? 110111000010011110010 Convert -11110000001111110101 (base 2) to base 9. -1758772 What is -b321 (base 15) in base 7? -215203 Convert 113461 (base 8) to base 5. 2214310 -234814 (base 11) to base 7 -3110342 Convert -39a46 (base 11) to base 13. -20031 Convert 1efbe (base 16) to base 14. 34370 What is -10000011110101101111 (base 2) in base 9? -1012676 What is -316132 (base 8) in base 4? -121301122 Convert -b003 (base 14) to base 6. -351431 What is -137040 (base 8) in base 7? -261621 What is 334441131 (base 5) in base 12? 5b68b8 What is -10011101000110110 (base 2) in base 6? -1420222 Convert -562061 (base 9) to base 3. -122002002001 -853238 (base 9) to base 6 -14513525 -10341020 (base 6) to base 16 -4b5c4 40648 (base 13) to base 12 5689a 77565 (base 8) to base 16 7f75 What is -1100011000011100 (base 2) in base 13? -1a113 What is -102110010 (base 4) in base 14? -1d4a0 Convert -324eb5 (base 15) to base 13. -65b889 What is -1115277 (base 9) in base 13? -1806a3 What is -3715816 (base 9) in base 13? -5589cc 1904455 (base 10) to base 4 13100331013 What is -6695055 (base 10) in base 12? -22aa553 What is 2a9e16 (base 16) in base 15? 3a283c 250331 (base 7) to base 15 d878 Convert -2064026 (base 7) to base 2. -111101010011011000 Convert 7765150 (base 8) to base 12. 84a520 Convert -103065 (base 11) to base 6. -3312231 234130 (base 7) to base 10 42259 -37365 (base 11) to base 12 -2708a What is 1093856 (base 11) in base 14? 37966c 4328b (base 14) to base 9 266706 Convert 21115500 (base 7) to base 4. 12310000233 Convert 15f15f (base 16) to base 6. 50453343 Convert 353704 (base 8) to base 6. 2331044 What is 56318 (base 11) in base 3? 11010220020 Convert -100
{ "pile_set_name": "DM Mathematics" }
f a(h)? 2, 5 Suppose -7*a + 2*a - 64 = -b, 0 = -b + 3*a + 62. Let u = -38 + b. What are the prime factors of u? 3, 7 Let b = -692 - -1559. List the prime factors of b. 3, 17 Suppose -3*h + 5*y + 3475 = 0, -3*h - 4*y + 3511 = -0*y. Suppose h - 377 = 5*r - 4*q, -655 = -4*r - 5*q. What are the prime factors of r? 2, 5 Suppose 27*p = 42818 + 39289. What are the prime factors of p? 3041 Suppose 4*t + 16 = 0, -3*n + 2*t - 11 = t. Let d be ((-2)/n)/(18/(-45)). What are the prime factors of d - 0/(-5) - -14? 13 Let u(n) = n**3 - 11*n**2 + n - 7. Let s be u(11). Suppose 477 = 3*w - 5*v, 819 = 5*w + s*v - 13. What are the prime factors of w? 2, 41 Suppose 3*h - 5*k = -9, -4*k + 4 = -5*h + 2. Suppose 0 + 42 = h*i. List the prime factors of i. 3, 7 Let x(b) = 5*b**2 - 14*b - 71. List the prime factors of x(14). 23, 31 Let k = 1 - -1. Let t = -199 + 237. Suppose 2*n - w - 38 = k*w, -2*w = 2*n - t. What are the prime factors of n? 19 Let n(b) = 3*b**2 - 9*b + 38. What are the prime factors of n(9)? 2, 5 Let j = -537 - -2557. What are the prime factors of j? 2, 5, 101 What are the prime factors of -8*1/2 + 769? 3, 5, 17 Let n be ((-8)/(-5))/(20/50). Let o be 40/(-6)*18/(-4). What are the prime factors of (18/n)/(o/200)? 2, 3, 5 Let r(n) = -9*n - 1. Suppose h - 12 = -0. Let i be (-6)/4*h/9. What are the prime factors of r(i)? 17 Suppose 0 = 2*b + 2*b + 12. What are the prime factors of 90/(-3 - -2 - b)? 3, 5 Let i(y) = y**2 + y. Let b(j) = -36*j**2 - 16*j - 6. Let p(k) = -b(k) - 10*i(k). List the prime factors of p(-3). 2, 3, 37 Suppose 2*r + 32 = 4*r - 4*k, -4*k - 44 = -4*r. Suppose d - 3*w = -r*w + 62, -2*d = -2*w - 116. Let v = d + 19. List the prime factors of v. 2, 3, 13 Suppose 0 = -2*z + 7*z - 170. Suppose 3*q + 47 = -5*x + 163, -q - 4*x + z = 0. List the prime factors of q. 2, 3, 7 List the prime factors of (-11590)/(-22) - (-28)/154. 17, 31 Suppose -g + 3*u = -428 - 413, 3*g - 5*u = 2503. List the prime factors of g. 2, 7, 59 Suppose 2*y = -4*s - 70, 5*y - 15 + 40 = 0. What are the prime factors of ((-6)/4)/(3/(-6)) - s? 2, 3 Let v = 12 - 10. Suppose 4*q - 11 - 5 = 2*w, v*w + 2*q = 14. Suppose 4 = -2*s, i + 4*s + w = -2. List the prime factors of i. 2 Let x = -587 - -1228. List the prime factors of x. 641 Suppose -5*u + 0*u = 2*r - 25, 5*u + r = 20. Let v(h) be the third derivative of 3*h**4/8 + 2*h**3/3 + 6*h**2. What are the prime factors of v(u)? 31 Suppose 0 = 3*d + d - 16, 4*y = 3*d + 8. What are the prime factors of y? 5 Let w(l) = l + 13. Let i be w(-17). List the prime factors of (-4 - i - -47)*1. 47 Let f be ((-1)/(-3))/(1/(-9)). List the prime factors of (-213)/(4 - (f + 10)). 71 Let a be ((-3)/(-2))/(27/(-72)). Let d be (-3 - a)/(0 + 1). What are the prime factors of 19 - (d + -4 - 1)? 23 Suppose v = -2*g + 3816, -4*g - 17*v + 7604 = -22*v. What are the prime factors of g? 2, 953 Let p = -4865 + 6970. List the prime factors of p. 5, 421 Let f(y) = -6*y**2 - 10*y - 2. Let c(z) = 5*z**2 + 9*z + 1. Let v(d) = -7*c(d) - 6*f(d). List the prime factors of v(-5). 3, 5 Suppose 5*s + 93 = 2*r, 2*r - 240 = -3*r + 5*s. Let g = r + -36. List the prime factors of g. 13 Let j = 90 + -118. Let u be -3 + 2 + (0 - 0). Let z = u - j. What are the prime factors of z? 3 Let h(q) = q**2 - 2*q - 9. Let t be h(-5). Suppose n + 2*m = 6, 0 = -m + 3*m - 2. Suppose 4*o - 40 = 2*a, -6*o + t = -4*o - n*a. List the prime factors of o. 3 Suppose 7*n = 5*n - 3*s - 111, -3*n - 174 = -3*s. Let c = 246 + n. List the prime factors of c. 3, 7 Let o = -9 - -184. List the prime factors of o. 5, 7 Let a(h) = -3*h - 1. Let v be a(-1). List the prime factors of (-13)/(((-30)/20)/(v*6)). 2, 13 Let l(v) = v**3 + 37*v**2 - 4 - 17*v**2 - 24*v**2. List the prime factors of l(7). 11, 13 Suppose 0 = -3*g + 5*g - 60. Let l be (-642)/g - 2/(-5). List the prime factors of 22*(l/6)/(-7). 11 Suppose 0 = -2*r - 3*j - 32, -5*j + j - 73 = 5*r. Let z = -8 - r. Suppose -z*l = -l - 8. What are the prime factors of l? 2 Let y be (12/4 - 4)*-3. Let t(s) = 22*s - 6. List the prime factors of t(y). 2, 3, 5 Let w(u) = 6*u**3 + 8*u**2 + 4*u - 71. What are the prime factors of w(5)? 29, 31 Let c(u) = 6*u + u**2 + 0*u + 2*u - 17. Let m be c(-12). Let v = m - 20. List the prime factors of v. 11 Let r = -422 + 745. List the prime factors of r. 17, 19 Let s(a) = 3*a + 162. List the prime factors of s(8). 2, 3, 31 Suppose 2*m + 2 = 0, 3*h - 275 = -0*m + 2*m. Let r = -75 + h. What are the prime factors of r? 2 Suppose -5*d = k - 413, 67*k - 69*k = -3*d + 253. List the prime factors of d. 83 Suppose -5*i = -u - 7, -2*i + 0 + 19 = 5*u. Suppose -j - j = 6, 4*t = i*j + 150. Suppose 5*q = 9*q - t. List the prime factors of q. 3 List the prime factors of 37 + 3716 - (-1 - -1) - -3. 2, 3, 313 Let u(z) = -z**3 - 25*z**2 - 29*z + 11. What are the prime factors of u(-24)? 131 Let r(m) be the second derivative of -3*m**5/20 - m**4/6 - m**3/2 - m**2 - 4*m + 1. Let g be (-2)/8 - 12/16. What are the prime factors of r(g)? 2 Suppose -3*p + 4*p = -2*k + 398, 784 = 4*k + 5*p. List the prime factors of k. 3, 67 Suppose 4*g + 12 = -3*p, -5*p = g - 0*p - 14. What are the prime factors of (0 + g)/(-3*(-2)/(-123))? 3, 41 Let r(s) = 6*s - 9. Let l(c) = -38*c + 52. Let f(n) = -19*n + 26. Let x(v) = -7*f(v) + 3*l(v). Let j(w) = -17*r(w) + 6*x(w). List the prime factors of j(4). 3, 5 Suppose 20 = 5*g - u, 22 = 2*g - 4*u - 4. Suppose 0 = -5*f + 3*v + 27, g = 4*f - 5*v - 29. Suppose f*j - 42 = -0. List the prime factors of j. 2, 7 Let n be 4/(3 + 7/(-2)). Let i be (n/12)/((-2)/21). Let s = i - 3. List the prime factors of s. 2 Suppose 3*c + 4*r = -0*c + 1928, 3*c - 5*r - 1910 = 0. What are the prime factors of c? 2, 5 Let j = 4774 + -1652. What are the prime factors of j? 2, 7, 223 Let p(s) = -s**2 + 6*s + 20. Let k be p(-12). Let o = -101 - k. What are the prime factors of o? 5, 19 Suppose 0 = 23*q - 23989 - 12650. List the prime factors of q. 3, 59 Let s be 4/(-2) - (6 - -4). Let k(x) = -4*x - 31. Let u(g) = -6*g - 47. Let n(f) = -7*k(f) + 5*u(f). What are the prime factors of n(s)? 2, 3 Suppose 0 = 3*q + 74 - 2. Let r be 32/q*6/(-4). Let y = r - 0. What are the prime factors of y? 2 Suppose -4*y - 40 = y. Let z(x) = x**2 + 7*x + 9. Let c be z(y). Let l = 23 - c. What are the prime factors of l? 2, 3 What are the prime factors of 2658 + ((-594)/(-88) - 1/(-4))? 5, 13, 41 Suppose w + 1405 = 2*g, 4 = 2*w + 6. What are the prime factors of g? 2, 3, 13 Suppose -9*s = -7*s - c - 1124, 0 = -3*s + 4*c + 1696. List the prime factors of s. 2, 5, 7 Let c(k) be the second derivative of -k**5/20 - k**4/3 + 2*k**3/3 - 2*k**2 - 8*k. List the prime factors of c(-6). 2, 11 Let b = -68 + 34. What are the prime factors of (b + 4 - -4)*-1? 2, 13 List the prime factors of 2206 + (-3 - 2 - -12). 2213 Let z = -18 - -34. Suppose 2*h + 8 = -2*d + 6*d, 0 = 4*h + z. Let w(m) = m**2 + m + 46. List the prime factors of w(d). 2, 23 Suppose 0 = 2*i + 5*r - 4, 5*r - 8 = 2. What are the prime factors of (52/(-8))/((i + 0)/66)? 11, 13 Let q = 144 - 34. Suppose 4*g = -5*i - 88, -5*i + 0*i + q = -5*g. Let c = g + 35. List the prime factors of c. 13 Let h(q) = 2*q**3 + 9*q**2 - 5*q + 3. Let v be h(-5). Suppose -2*x = -v*x. Suppose -5*o + 30 = -x*o. What are the prime factors of o? 2, 3 Suppose -406 = -3*d + 2*k, 0 = -k - 5 - 0. Let c = 106 - 35. Let v = d - c. What are the prime factors of v? 61 Let a(c) = -3*c - 8. Let k be a(-4). Suppose -2*z + k*m + 148 = 0, 3*z = -z + 5*m + 281. What are the prime factors of z? 2 Let h(p) = -p**2 - 11*p + 13*p - 4 + 17*p. What are the prime factors of h(18)? 2, 7 Suppose b + 527 = 3*c - 540, -5*b + 1429 = 4*c. What are the prime factors of c/18 - (-32)/144? 2, 5 Let g = 1333 - 793. List the prime factors of g. 2, 3, 5 Let i(h) = -46*h. Let f = 57 - 59. What are the prime factors of i(f)? 2, 23 Suppose -5*c = 3*b - 7 - 28, -2*c + 13 = b. Let a(p) = p**3 + 4*p**2 - 7*p - 7. Let g be a(-5). Suppose -40 = g*d - b*d. List the prime factors of d. 2, 5 Let b be -3 + 1 - (16 + -29). Suppose -b*k = 1785 - 4535. What are the prime factors of k? 2, 5 Let y be 2*3 + (-10)/5. Suppose 19 = y*h + 3*t, 0 = 4*h + h - 2*t - 18. Suppose h*z - 83 = -v, -v + 0*v - 43 = -2*z. List the prime factors of z. 3, 7 Let m(k) = -k**3 + 4*k**2 + 2. Let s be m(
{ "pile_set_name": "DM Mathematics" }
- 1/8*k**4 - 1/120*k**6. Calculate j(6). -6 Let i be (-30)/(-70) - 3224/(-7). Let z(h) = -457 - i + 915 + h**3 + 5*h**2 + h. What is z(-4)? 9 Let j be 8/(-84) + (-774)/(-189). Let k(p) = -25 + 7 + 8 + 7 - 2*p + j. Let c be (1/(1/2))/2. What is k(c)? -1 Let j(x) = x**3 - 4*x**2 + 3. Let s(w) = 4*w - 63. Let y be s(15). Suppose -2*m - 3 = -h, 0 = -4*m + m + 3*h - 12. Let b = m - y. Calculate j(b). 3 Suppose 1 - 5 = -4*a. Let p(h) = -732*h + 2 + 724*h + h**2 + a. Determine p(6). -9 Let x = -12 + 17. Suppose 13 = -2*h + 3*q, -x*q + 3 = -22. Let m(g) be the first derivative of -g**2 - 507. Give m(h). -2 Suppose 2*d - 4*d + 10 = 0, 32 = -3*p + 4*d. Let o(b) = -7*b**2 + 7*b - 2. Let a(m) = -5*m**2 + 6*m - 3. Let i(y) = 4*a(y) - 3*o(y). Give i(p). -2 Let z(w) = 172*w + 115. Let h(o) = -47*o - 29. Let k(c) = -22*h(c) - 6*z(c). Determine k(32). 12 Let f be 5*(-2 + 0)/2. Let r(h) = -h + 7. Let b(g) be the first derivative of g - 24. Let m(i) = -4*b(i) + r(i). What is m(f)? 8 Let s = -9189 - -9170. Let m(f) = -f**2 - 19*f - 40. Give m(s). -40 Let p(t) = t**3 + 20*t**2 + 72*t - 52. Let w be p(-15). Let q(m) = m**3 + 8*m**2 + 7*m - 3. Give q(w). -3 Let g = 34 + -39. Let m(h) be the first derivative of -2*h + 1/3*h**3 - 30 + h**2. Determine m(g). 13 Let u(j) = -9*j + 6. Let f(i) = 6*i - 5. Let n(g) = g + 4. Let q be n(3). Let p(d) = q*f(d) + 5*u(d). Determine p(-5). 10 Let r(j) be the third derivative of -j**5/120 - j**4/24 - 5*j**3/6 - 12*j**2. Let x(p) be the first derivative of r(p). Let i be (-12)/(-8)*(2 - -2). Give x(i). -7 Suppose 295 = -2*j + 7*j + 3*g, 0 = -j - 3*g + 59. Let x(b) = b - 55 - j + 105. Let u = -11 - -18. Determine x(u). -2 Let h(q) = -62*q**2 + 61*q - 109. Let j(s) = -23*s**2 + 20*s - 36. Let r(i) = -3*h(i) + 8*j(i). What is r(10)? 9 Let r(w) = 3*w - 32. Suppose -28*d - 9*d = -19*d - 270. Give r(d). 13 Let b be 11 + (-35)/(-15) + 49/(-3). Let w(s) = 2*s**3 + 2*s**2 - 8*s + 4. Give w(b). -8 Let d be (-2 + (-2)/6)*(-17 + 23). Let a(u) = -13*u - 180. What is a(d)? 2 Suppose 15 = 3*y + 3. Suppose -y*u + 57 = -5*t, 0*u = u + 2*t - 11. Let o(x) = -11 + x + 42 - 14 - u. Calculate o(-7). -3 Suppose 0 = -3*w + w + 6. Suppose y - w*y + 12 = 0. Let d(p) be the third derivative of -p**4/24 - p**3/3 - 1149*p**2 - p - 5. Determine d(y). -8 Let p(o) = 28*o - 72*o + 8*o**2 - 1 + 41*o + o**3. Determine p(-9). -55 Let l(b) = b**3 - 17*b**2 + 32*b - 35. Suppose 6*q + 146 - 461 = -15*q. Determine l(q). -5 Let j(m) = m**3 - 12*m - 15*m**2 + 2*m - 4*m - 22. Suppose h - 2668 = -4*w - 2628, -5*h + 74 = -w. Determine j(h). 10 Suppose 47*v - 20 = 43*v. Let p(c) = 6*c**2 - 14*c**2 + c**2 + 6*c**2 + 8*c - v. Suppose 8 = f - 4*z, f - z = -4*z + 8. Determine p(f). -5 Let f(d) = 155*d - 17. Let o(a) = 133*a - 15. Let l(u) = 6*f(u) - 7*o(u). Calculate l(10). -7 Suppose -d - 22 = 5*a + 2*d, 0 = -3*d + 3. Let s be 50 + (3/4)/(a/(-20)). Let k(w) = s*w - 19*w + 3 + w**2 - 11*w - 16*w. Give k(-7). 3 Suppose -211*i = -70*i + 423. Let y = 21 + -19. Let q(s) = s**2 - 108*s + 0*s**2 + y + 111*s. Calculate q(i). 2 Let r(v) = 26*v - 266. Suppose 176 + 1374 = 74*c + 81*c. Give r(c). -6 Let n(c) = 4*c - 3. Let a(t) = t**2 + 23*t - 30. Let s(l) = a(l) - 3*n(l). Determine s(-10). -31 Let l(q) = 21*q - 83. Let z(h) = -84*h + 331. Let y(x) = -9*l(x) - 2*z(x). Calculate y(4). 1 Suppose -3*r - 34330 = -4*c - 34336, 0 = -3*r + 2*c. Let a(p) be the first derivative of p**2/2 - 2*p + 2. What is a(r)? -4 Let o(h) = 9191 + h**2 - 2*h + 2*h - 9163 - 8*h. Calculate o(5). 13 Let v(s) = -s**2 - 4. Let q(k) = -k**2 - 1. Let x(p) = -2*q(p) + v(p). Let u be (16 + -2 + -2)/1. Let f = -15 + u. Give x(f). 7 Let j(k) be the first derivative of 3/2*k**2 - 10 - k. Let r = -38 - -40. Give j(r). 5 Let y(a) = a - 3. Let f(q) = 5*q + 8 + 2*q + q**2 + 5. Suppose 0 = 8*z + 77 - 61. Let w be f(z). Calculate y(w). 0 Suppose -6*i - 2 = 5*h, 3*h - 145*i + 4 = -150*i. Let j(b) be the first derivative of -7 + 1/4*b**4 + 3*b**h + b - 7/3*b**3. Calculate j(5). -19 Let r(i) be the third derivative of -i**5/60 + i**4/3 - i**3/3 + 54*i**2. Let o be (-92)/(-22) - 44/242. Determine r(o). 14 Let d(a) = 2*a - 20. Let h be d(11). Let l(j) = -h*j**2 - 3 + 6 - 4 + 2. Let n(t) = -t**3 + 4*t**2 + 10*t + 14. Let y be n(6). Calculate l(y). -7 Suppose -12*o - 15*o = -26*o - 9. Let m(l) = l**2 + 2*l - 89. Determine m(o). 10 Suppose -o = 6*o - 98. Suppose -2*c = 3*y - 4*c - 14, -o = -4*y + 5*c. Let u(h) = -h**3 + 6*h**2 - 10. Give u(y). -10 Let o(a) = -7*a - 178. Let n(q) = -q**2 - 24*q + 672. Let w be n(17). Determine o(w). -3 Let h(f) = 16 + 2 + 53*f**2 - 14*f**2 - 40*f**2. What is h(-5)? -7 Let v(z) = -12*z - 4. Let o(n) = -7*n - 5. Let s(w) = -3*o(w) + 2*v(w). Calculate s(5). -8 Let q(i) = -i**2 + 40*i + 80. Let r be (4/(-3) + 2)/((-6)/18). Let y be q(r). Let g(v) be the second derivative of 2*v**3/3 - 3*v**2/2 - v. Give g(y). -19 Let u(o) = 242*o - 4 - 238*o + 3 + 3. Suppose 0*f - 2*f - 2*q + 4 = 0, q = -2*f + 6. Suppose -f*x + x - 18 = -3*r, 3*r = -x + 10. Determine u(x). -6 Let u(z) = -4*z - 4 - z**3 + 3*z + 2*z**2 + 2*z**3 - 3*z. Let q = -3325 - -3322. What is u(q)? -1 Let p(w) = -w**2 + 18*w - 62. Let v be p(4). Let j(o) = -7*o + 7. Let i(k) = -20*k + 19. Let t(y) = v*i(y) + 17*j(y). Calculate t(-5). 0 Let b = -12609 - -12641. Let o(a) = -2*a**2 + 63*a + 23. Give o(b). -9 Let k be -7*-1*(1 + 0). Let d(v) = -v**3 - 30*v**2 - 76*v + 18. Let n be d(-3). Suppose -11 = -n*h + k. Let r(z) = -z**3 + 5*z**2 + 8*z - 7. Calculate r(h). 5 Let o be (-16)/(-8) - (-13 + 14). Let l(d) = 51*d**3. What is l(o)? 51 Let d(r) = r**3 + 5*r**2 + r + 2. Let b = -165 - -216. Suppose 25 = -56*p + b*p. What is d(p)? -3 Let g(n) = -2*n**3 + 25*n**2 - 36*n + 33. Let p be g(11). Let q(b) = -4*b + 44. Give q(p). 44 Suppose 13*j = 16*j + 45. Let x = j - -11. Let q(z) = -z**2 - 3*z + 4. What is q(x)? 0 Let c(o) = o**2 - o + 3. Let n be (-1)/((3 + (-15)/6)/(-2)). Suppose -n*f + 2 = 10. Let l(z) = -z + 3. Let w be l(f). Determine c(w). 23 Let f(d) = 3*d + 2. Suppose 7*z - 11 = 24. Let w(c) = 2*c - 2. Let r be w(11). Suppose -o + z*o = r. What is f(o)? 17 Let n = -27 + -2. Let x = -32 - n. Let u(t) be the second derivative of -t**5/20 - t**4/4 + t**3/2 + t**2/2 + 4*t. Give u(x). -8 Let o(r) be the third derivative of 0 + 1/120*r**6 + 1/24*r**4 - 98*r**2 + 0*r + 1/12*r**5 + 0*r**3. Determine o(-4). 12 Let t(d) = -2*d + 65. Let h be t(20). Suppose 16*m = 9*m. Suppose -h*w + 21*w - 4 = m. Let l(r) = 20*r + 1. Determine l(w). -19 Let j(r) = 5*r + 12. Suppose -8*l - 3*l + 66 = 0. Let n(d) = -11*d - 26. Let m(y) = l*n(y) + 13*j(y). Give m(5). -5 Let s(h) = -h - 1. Suppose -177 = 39*r + 525. Let q(a) = 8*a + 9. Let w be (-12)/7 + 6/(-21). Let v(d) = r*s(d) + w*q(d). Determine v(-2). -4 Let p(r) = -r**3 - 10*r**2 - 4*r + 2. Let j(g) = -3*g**2 - 10*g**2 - 7*g + 5 - 6*g**2 - 2*g**3. Let d = -148 + 152. Let z(y) = d*j(y) - 7*p(y). Calculate z(-6). 6 Let j(m) = m - 4. Let x be (-8)/3*(-33)/22 + -4. Suppose x*v = -3*a + 4*v + 11, a - 3 = 2*v. Determine j(a). 1 Let g(v) = 39 + 8*v**2 - 42 - 5800*v**3 + 4*v + 5801*v**3. Suppose -3*t - 35 = 2*t. Determine g(t). 18 Let w be (4/(-16)*-6)/(6/32). Suppose w*m = -5*m - 13. Let n(v) = -20*v**3 - v - 1. Determine n(m). 20 Let o(t) = -13*t + 1. Suppose -n + 130 = 4*n. Suppose -n*g + 31*g = -25. Let y be -4 + 8 - (0 - g). Give o(y). 14 Let g(m) = 4*m - 3. Let r(f) = 5*f + 1. Let k be r(2). Let d(b) = 12*b - 8. Let j(w) = k*g(w) - 4*d(w). Let h = -10602 + 10603. What is j(h)? -5 Let g(q) be the second derivative of q**5/10 + 11*q**4/12 + 11*q**3/6 + 3*q**2 - 2*q - 686. Determine g(-4). 10 Let d(z) = -z**3 - 1 - 25*z + 377104*z**2 - 377067*z**2 - 10*z. Determine d(36). 35 Let t(u) = u**3 - u**2 + u + 1. Let z(f) = -3*f**3 + 2*f + 0*f**3 - 3*f - 2*f**2. Let o(a) = t(a) - z(a). Suppose -21*g - 38 + 29 = 12. Determine o(g). -4 Let f(x) be the third derivative of -x**4/24 + 2*x**2. Let v be f(6). Let w(p) be the second derivative of -p**3/2 - 9*p**2/2 + 1681*p. What is w(v)? 9 Let q(v) = v**3 + 5*v**2 - v - 4. Let m be q(-5). Let t(u) = -8*u + 20. Let d(z) = 11*z - 33. Let g(b) = -3*d(b) - 5*t(b). What is g(m)? 6 Let g(t) = 6*t - t**2 - 33 + 69 - 42. Suppose -2*m + 5*m = 12. What is g(m)? 2 Let s(v) be the first derivative of -v**3/3
{ "pile_set_name": "DM Mathematics" }
8691? 7, 19813 List the prime factors of 21735. 3, 5, 7, 23 What are the prime factors of 6231? 3, 31, 67 List the prime factors of 6103. 17, 359 What are the prime factors of 191? 191 What are the prime factors of 35591? 35591 List the prime factors of 10225. 5, 409 List the prime factors of 1327. 1327 List the prime factors of 63281. 63281 List the prime factors of 31046. 2, 19, 43 What are the prime factors of 4464? 2, 3, 31 List the prime factors of 54307. 11, 4937 List the prime factors of 70587. 3, 11, 23, 31 What are the prime factors of 1299? 3, 433 List the prime factors of 73821. 3, 11, 2237 List the prime factors of 1501. 19, 79 What are the prime factors of 89520? 2, 3, 5, 373 What are the prime factors of 31890? 2, 3, 5, 1063 List the prime factors of 90562. 2, 45281 List the prime factors of 3266. 2, 23, 71 List the prime factors of 11624. 2, 1453 List the prime factors of 2364. 2, 3, 197 What are the prime factors of 121625? 5, 7, 139 List the prime factors of 25944. 2, 3, 23, 47 List the prime factors of 29567. 29567 List the prime factors of 42427. 7, 11, 19, 29 List the prime factors of 33574. 2, 16787 What are the prime factors of 69610? 2, 5, 6961 List the prime factors of 59869. 19, 23, 137 List the prime factors of 10076. 2, 11, 229 List the prime factors of 1287. 3, 11, 13 List the prime factors of 10341. 3, 383 What are the prime factors of 5775? 3, 5, 7, 11 What are the prime factors of 7938? 2, 3, 7 List the prime factors of 6073. 6073 List the prime factors of 2734. 2, 1367 List the prime factors of 165338. 2, 19, 229 What are the prime factors of 37421? 23, 1627 What are the prime factors of 9134? 2, 4567 What are the prime factors of 80833? 80833 What are the prime factors of 838? 2, 419 List the prime factors of 2359. 7, 337 List the prime factors of 78759. 3, 2917 List the prime factors of 86184. 2, 3, 7, 19 List the prime factors of 3496. 2, 19, 23 What are the prime factors of 8487? 3, 23, 41 List the prime factors of 932. 2, 233 List the prime factors of 67833. 3, 7537 What are the prime factors of 5886? 2, 3, 109 List the prime factors of 1276. 2, 11, 29 What are the prime factors of 65987? 19, 23, 151 List the prime factors of 159. 3, 53 List the prime factors of 577. 577 List the prime factors of 10222. 2, 19, 269 What are the prime factors of 9907? 9907 List the prime factors of 8252. 2, 2063 What are the prime factors of 978? 2, 3, 163 List the prime factors of 28709. 19, 1511 List the prime factors of 6335. 5, 7, 181 What are the prime factors of 153877? 153877 What are the prime factors of 674? 2, 337 List the prime factors of 9753. 3, 3251 List the prime factors of 542. 2, 271 What are the prime factors of 50635? 5, 13, 19, 41 List the prime factors of 852. 2, 3, 71 List the prime factors of 77146. 2, 17, 2269 What are the prime factors of 185? 5, 37 What are the prime factors of 749? 7, 107 List the prime factors of 916. 2, 229 List the prime factors of 33033. 3, 7, 11, 13 What are the prime factors of 7979? 79, 101 List the prime factors of 33826. 2, 13, 1301 What are the prime factors of 7315? 5, 7, 11, 19 List the prime factors of 261. 3, 29 List the prime factors of 684. 2, 3, 19 List the prime factors of 933. 3, 311 What are the prime factors of 34637? 19, 1823 List the prime factors of 50113. 7, 7159 What are the prime factors of 66790? 2, 5, 6679 What are the prime factors of 100758? 2, 3, 7, 2399 What are the prime factors of 38197? 38197 List the prime factors of 1640. 2, 5, 41 List the prime factors of 81833. 19, 59, 73 List the prime factors of 770. 2, 5, 7, 11 List the prime factors of 70877. 70877 List the prime factors of 16287. 3, 61, 89 List the prime factors of 274. 2, 137 What are the prime factors of 1714? 2, 857 What are the prime factors of 66050? 2, 5, 1321 What are the prime factors of 940? 2, 5, 47 What are the prime factors of 3037? 3037 What are the prime factors of 53630? 2, 5, 31, 173 What are the prime factors of 24333? 3, 8111 What are the prime factors of 5771? 29, 199 What are the prime factors of 2408? 2, 7, 43 What are the prime factors of 43956? 2, 3, 11, 37 List the prime factors of 2100. 2, 3, 5, 7 What are the prime factors of 2416? 2, 151 List the prime factors of 20. 2, 5 What are the prime factors of 13158? 2, 3, 17, 43 List the prime factors of 2748. 2, 3, 229 What are the prime factors of 2627? 37, 71 List the prime factors of 7305. 3, 5, 487 What are the prime factors of 1376? 2, 43 List the prime factors of 6090. 2, 3, 5, 7, 29 What are the prime factors of 4852? 2, 1213 What are the prime factors of 1191? 3, 397 List the prime factors of 22488. 2, 3, 937 List the prime factors of 70790. 2, 5, 7079 List the prime factors of 548. 2, 137 List the prime factors of 80475. 3, 5, 29, 37 What are the prime factors of 22461? 3, 7487 What are the prime factors of 495? 3, 5, 11 List the prime factors of 44588. 2, 71, 157 What are the prime factors of 1398? 2, 3, 233 What are the prime factors of 18069? 3, 19, 317 What are the prime factors of 24952? 2, 3119 List the prime factors of 1726. 2, 863 What are the prime factors of 15297? 3, 5099 What are the prime factors of 5674? 2, 2837 What are the prime factors of 5106? 2, 3, 23, 37 List the prime factors of 31906. 2, 7, 43, 53 What are the prime factors of 2554? 2, 1277 List the prime factors of 20785. 5, 4157 List the prime factors of 5674. 2, 2837 List the prime factors of 10417. 11, 947 List the prime factors of 11970. 2, 3, 5, 7, 19 List the prime factors of 2549. 2549 What are the prime factors of 131? 131 List the prime factors of 3221. 3221 List the prime factors of 99225. 3, 5, 7 List the prime factors of 1603. 7, 229 List the prime factors of 4539. 3, 17, 89 List the prime factors of 64371. 3, 43, 499 List the prime factors of 45327. 3, 29, 521 List the prime factors of 10217. 17, 601 What are the prime factors of 81898? 2, 40949 What are the prime factors of 1586? 2, 13, 61 List the prime factors of 1564. 2, 17, 23 List the prime factors of 1253. 7, 179 List the prime factors of 3282. 2, 3, 547 List the prime factors of 402. 2, 3, 67 What are the prime factors of 80220? 2, 3, 5, 7, 191 What are the prime factors of 2707? 2707 List the prime factors of 9132. 2, 3, 761 What are the prime factors of 9082? 2, 19, 239 What are the prime factors of 1034? 2, 11, 47 What are the prime factors of 9773? 29, 337 List the prime factors of 2388. 2, 3, 199 List the prime factors of 2256. 2, 3, 47 What are the prime factors of 912? 2, 3, 19 List the prime factors of 2126. 2, 1063 What are the prime factors of 21729? 3, 7243 What are the prime factors of 66931? 66931 List the prime factors of 169. 13 What are the prime factors of 971? 971 List the prime factors of 550. 2, 5, 11 List the prime factors of 22848. 2, 3, 7, 17 What are the prime factors of 5522? 2, 11, 251 List the prime factors of 1665. 3, 5, 37 What are the prime factors of 502? 2, 251 List the prime factors of 128077. 211, 607 List the prime factors of 78002. 2, 43, 907 What are the prime factors of 590? 2, 5, 59 List the prime factors of 13941. 3, 1549 What are the prime factors of 1582? 2, 7, 113 What are the prime factors of 33290? 2, 5, 3329 What are the prime factors of 638? 2, 11, 29 List the prime factors of 3043. 17, 179 What are the prime factors of 12364? 2, 11, 281 What are the prime factors of 20800? 2, 5, 13 What are the prime factors of 39281? 11, 3571 What are the prime factors of 115042? 2, 97, 593 What are the prime factors of 28785? 3, 5, 19, 101 What are the prime factors of 6780? 2, 3, 5, 113 What are the prime factors of 1274? 2, 7, 13 What are the prime factors of 33503? 33503 What are the prime factors of 3393? 3, 13, 29 List the prime factors of 1617. 3, 7, 11 What are the prime factors of 934? 2, 467 List the prime factors of 33077. 11, 31, 97 What are the prime factors of 7621? 7621 List the prime factors of 2281. 2281 What are the prime factors of 45642? 2, 3, 7607 What are the prime factors of 36680? 2, 5, 7, 131 List the prime factors of 66466. 2, 167, 199 What are the prime factors of 691? 691 What are the prime factors of 70701? 3, 23567 What are the prime factors of 11034? 2, 3, 613 List the prime factors of 5015. 5, 17, 5
{ "pile_set_name": "DM Mathematics" }
Let s(x) = 0. What is x? -1, 1 Let w(a) be the first derivative of -a**6/9 + 4*a**5/15 - 4*a**3/9 + a**2/3 + 4. Suppose w(o) = 0. What is o? -1, 0, 1 Let z(p) be the third derivative of 0 + 1/240*p**6 + 1/840*p**7 - 4*p**2 + 0*p - 1/96*p**4 - 1/120*p**5 + 1/24*p**3 - 1/1344*p**8. Factor z(g). -(g - 1)**3*(g + 1)**2/4 Suppose 4*w**2 + 0*w**4 - 1/2*w**5 + 0 + 3/2*w + 3*w**3 = 0. Calculate w. -1, 0, 3 Suppose 0 = -2*n - 2, -n = -3*m - 101. Let g be (-8)/2 - m/8. Suppose g*z**2 + 1/2 + 3/4*z = 0. Calculate z. -2, -1 Let l(r) = 7*r**2 - 7*r. Let f(d) = -4*d**2 + 4*d. Let u(t) = -11*f(t) - 6*l(t). Let u(w) = 0. Calculate w. 0, 1 Let o(g) = -12*g**5 + 15*g**4 - 12*g**3 + 9*g**2. Let z(l) = 3*l**5 - 4*l**4 + 3*l**3 - 2*l**2. Let r(m) = 2*o(m) + 9*z(m). Solve r(h) = 0. 0, 1 Let u(y) be the second derivative of 1/20*y**5 - 2/45*y**6 + 1/9*y**4 + 1/126*y**7 + 0*y**2 - 2/9*y**3 + 0 - 5*y. Factor u(k). k*(k - 2)**2*(k - 1)*(k + 1)/3 Suppose -2*z + 7 = 4*k - k, 4*z - 2*k - 6 = 0. Suppose -2*t - 2*x + 4 = -z, 3*t = 2*x + 4. Determine d, given that 0 + 1/2*d - 1/2*d**3 + 0*d**t = 0. -1, 0, 1 Let c(u) be the second derivative of u**7/2520 - u**5/120 + u**4/4 + 2*u. Let h(n) be the third derivative of c(n). Factor h(a). (a - 1)*(a + 1) Suppose 0 = -4*h - 4*h + 40. Suppose -q - 4*i = h + 3, 10 = -5*i. Factor -1/4*v**2 + 1/2*v + q. -v*(v - 2)/4 Let y = 95 - 473/5. Let s(h) be the first derivative of -y*h**2 + 3/5*h**4 - 2/15*h**3 + 0*h + 1. Solve s(w) = 0 for w. -1/2, 0, 2/3 Let t(f) be the second derivative of -f**4/20 - 3*f**3/10 - 3*f**2/5 - 3*f. Factor t(d). -3*(d + 1)*(d + 2)/5 Let v(g) be the first derivative of g**8/560 + g**7/280 - 8*g**3/3 + 8. Let o(h) be the third derivative of v(h). What is p in o(p) = 0? -1, 0 Suppose 12 = 2*s - 4*o, 5*o + 15 = -7*s + 3*s. Determine h so that h**2 + s*h - 4/3 + 1/3*h**3 = 0. -2, 1 Let m(x) be the second derivative of 5*x**9/1008 + 3*x**8/224 + 3*x**7/280 - x**4/2 + 7*x. Let h(j) be the third derivative of m(j). Solve h(i) = 0 for i. -3/5, 0 Let k = -13 + 17. Let v(b) be the third derivative of 1/180*b**5 + 0*b + 0*b**3 - 1/360*b**6 + 1/72*b**4 - k*b**2 - 1/630*b**7 + 0. What is n in v(n) = 0? -1, 0, 1 Let w(l) be the first derivative of -l**5/5 + 3*l**4 - 22*l**3/3 - 42*l**2 - 49*l - 44. Factor w(a). -(a - 7)**2*(a + 1)**2 Let d(y) = 3*y**2 - 3. Let j(r) = -r**3 - 2*r**2 + r + 2. Let b(q) = -4*d(q) - 3*j(q). Solve b(h) = 0 for h. -1, 1, 2 Let l(n) be the first derivative of -n**2 + n + 0*n**3 - 1/5*n**5 + 1 + 1/2*n**4. Factor l(a). -(a - 1)**3*(a + 1) Let l(b) be the first derivative of -b**4/8 + b**3/3 + 17. What is g in l(g) = 0? 0, 2 Let d be (46 - -3)*3/6. Factor 2 + 10*f + d*f**4 - 3/2*f**2 - 35*f**3. (f - 1)**2*(7*f + 2)**2/2 Let q(t) be the first derivative of t**7/3360 - t**6/1440 - t**5/240 - t**3/3 - 2. Let s(o) be the third derivative of q(o). Factor s(k). k*(k - 2)*(k + 1)/4 Let f(y) be the first derivative of 0*y + 5 + 0*y**2 + 1/9*y**3 + 1/5*y**5 - 1/4*y**4 - 1/18*y**6. Factor f(x). -x**2*(x - 1)**3/3 Let 4 + 2 + 39*v + 22*v**3 + 11*v**3 + 10*v**5 + 69*v**2 - 22*v**5 - 15*v**4 = 0. What is v? -1, -1/4, 2 Let g(n) = n**3 - 7*n**2 - 7*n - 6. Let i = 21 - 13. Let s be g(i). Factor 6/7*d**s - 2/7*d - 4/7*d**3 + 0. -2*d*(d - 1)*(2*d - 1)/7 Let q(d) = 2*d**2 - 16 + 0*d**2 + 7*d**2 - 4*d**2. Let y(w) = -w**2 + 3. Let m(f) = -2*q(f) - 11*y(f). Suppose m(b) = 0. What is b? -1, 1 Let q(g) = g - 1. Let z be q(1). Suppose z = 5*h + 4*k + k, -2*h + 2*k = 0. Find y, given that -4/3*y + 14/3*y**3 + 10/3*y**2 + h = 0. -1, 0, 2/7 Let p(i) be the third derivative of -i**6/480 - i**5/240 + 2*i**2. Factor p(h). -h**2*(h + 1)/4 Let l(h) = 4*h**2 + 18*h - 18. Let g(a) = 14 - 14 - a**2 - 2*a + a. Let b(k) = 6*g(k) + l(k). Determine m so that b(m) = 0. 3 Factor 0 - 12*v**3 + v - 2*v**2 + 11*v**3 + 2. -(v - 1)*(v + 1)*(v + 2) Suppose -5*k = -3*p + p, -4*p + 14 = -3*k. Let j = 53/84 - -1/28. Solve -2/3*h**4 - j*h**3 - 2/9*h**p + 0*h - 2/9*h**2 + 0 = 0. -1, 0 Let x(c) = -c**3 + 3*c**2 - 2. Let h be x(2). Suppose -h*v = 4*r - 6 + 2, v = -4*r + 6. Factor -1/4*q**r - 1 + q. -(q - 2)**2/4 Let p(l) be the third derivative of 1/30*l**4 - 1/30*l**3 - 1/150*l**6 + 1/300*l**5 + 0*l + 0 + 4*l**2. Suppose p(b) = 0. What is b? -1, 1/4, 1 Let k(f) be the third derivative of 0 - 7/12*f**4 - 3*f**2 + 1/6*f**5 + 2/3*f**3 + 0*f. Factor k(a). 2*(a - 1)*(5*a - 2) Suppose 4*k - 2*k = 14. Suppose i**3 - i**2 + 3*i + k*i**2 - 3*i**2 - i = 0. What is i? -2, -1, 0 Let j(m) = 3*m**2 - 12 + m**2 + 2*m**2 - 12*m**3 + 4*m - 10*m**4. Let w(f) = -f**4 - f**3 + f**2 - 1. Let y(v) = j(v) - 12*w(v). Let y(u) = 0. Calculate u. -2, 0, 1 Let s = 163 + -160. Solve 2/7 - 2/7*p**2 + 2/7*p - 2/7*p**s = 0 for p. -1, 1 Let n(p) = -p. Let z(r) = r**2 - 8*r - 4. Let q(o) = 24*n(o) - 3*z(o). Factor q(d). -3*(d - 2)*(d + 2) Let 100*x**2 - 12722*x**4 + 12757*x**4 - 4 + 20*x + 115*x**3 + 4 = 0. Calculate x. -2, -1, -2/7, 0 Let d(f) = -3*f**2 + 12*f - 9. Let q be d(3). Factor q*p**3 + 0 + 3*p**2 - 3/2*p - 3*p**4 + 3/2*p**5. 3*p*(p - 1)**3*(p + 1)/2 Factor 5*w**2 - 4416 + 15*w + 4416. 5*w*(w + 3) Let r(c) be the first derivative of -13/10*c**4 - 7/5*c**2 - 2*c**3 - 2/5*c - 8/25*c**5 - 2. Factor r(f). -2*(f + 1)**3*(4*f + 1)/5 Suppose -2 = 3*q - 3*g - 32, 4*q - 2*g = 36. Solve -1/2*n**2 - q + 4*n = 0. 4 Let s be 1 + 20 - (-4)/(-4). Factor s*k**3 - 26*k**3 - 2*k**2 + 5*k**5 - 12*k**4 + 15*k**3. k**2*(k - 1)**2*(5*k - 2) Let l(r) be the second derivative of 6*r**5/5 - 27*r**3/4 - 81*r**2/8 - 38*r. Find y, given that l(y) = 0. -3/4, 3/2 Let s(l) be the first derivative of 3*l**4/4 + 3*l**3 + 9*l**2/2 + 3*l - 3. What is t in s(t) = 0? -1 Factor 2*r + 2 - 12*r**3 - r + 17*r**3 - 8*r**2. (r - 1)**2*(5*r + 2) Determine m, given that 0*m - 1/3*m**2 + 4/3 = 0. -2, 2 Let x(m) = m**2 - m. Let k(w) = -9*w**2 + 9*w. Let f = 10 - 9. Let b(z) = f*k(z) + 12*x(z). Factor b(u). 3*u*(u - 1) Let a(b) = 9*b**2 + 54*b + 98. Let y(d) = 14*d + 33 + 5*d - 3*d + 3*d**2 + 2*d. Let o(q) = -6*a(q) + 17*y(q). Determine c, given that o(c) = 0. -3 Let l(s) be the second derivative of s**5/50 + s**4/15 - 11*s. Find b, given that l(b) = 0. -2, 0 Let a(t) be the second derivative of -1/90*t**5 - 5/27*t**4 + 4/135*t**6 + 4/27*t**3 + 0 - 1/189*t**7 + 8/9*t**2 + 4*t. Factor a(x). -2*(x - 2)**3*(x + 1)**2/9 Suppose 11*u - 14*u = -6. Let i(t) be the third derivative of -1/150*t**5 + t**u - 2/15*t**3 + 0 + 0*t + 1/20*t**4. Let i(q) = 0. Calculate q. 1, 2 Let v(b) be the third derivative of 1/32*b**4 + 0*b + b**2 - 1/40*b**5 + 1/160*b**6 + 0 + 0*b**3. Find l, given that v(l) = 0. 0, 1 Let f(h) be the first derivative of -2*h**5 - 9*h**4 - 16*h**3 - 14*h**2 - 6*h - 7. Let f(p) = 0. Calculate p. -1, -3/5 Let p(j) be the third derivative of -j**8/84 + 4*j**7/105 + j**6/15 - 4*j**5/15 - j**4/6 + 4*j**3/3 - 15*j**2. Find t such that p(t) = 0. -1, 1, 2 Let m(x) be the first derivative of -x**4/78 - 4*x**3/39 - 4*x**2/13 + x + 1. Let l(k) be the first derivative of m(k). Let l(s) = 0. What is s? -2 Let s(x) be the second derivative of x**8/2240 - x**6/240 - x**4/12 + x. Let b(p) be the third derivative of s(p). Factor b(k). 3*k*(k - 1)*(k + 1) Suppose 4*u = -2*w + 16, 0 = -4*u - u + w + 20. Factor 1/3*r - 1/3*r**3 + 0 + 1/3*r**2 - 1/3*r**u. -r*(r - 1)*(r + 1)**2/3 Let i be (-99)/(-70) - 225/(-750). Suppose -10/7*q**2 - 8/7 - 24/7*q + i*q**3 = 0. What is q? -2/3, -1/2, 2 Let d(z) = z**2 + 8*z - 29. Let p be d(-11). Let h be ((-3)/3)/(1 - 4). Let -l**3 + l - 1/3 + 2/3*l**p - h*l**2 = 0. Calculate l. -1, 1/2, 1 Find n such that -375/4*n**2 + 75/4*n**3 + 625/4*n - 5/4*n**4 + 0 = 0. 0, 5 Let n(s) be the second derivative of s**7/2520 - s**6/360 + s**4/3 + 2*s. Let z(c) be the third derivative of n(c). Factor z(m). m*(m - 2) Let l be (6/9*3)/(-1). Let b be l/9 + 30/54. Determine z, given that -1/3*z**3 + 0*z**2 + 0*z - b*z**4 + 0 = 0. -1, 0 Suppose -2*b - 2*b = g + 12, 2*b = 4*g - 24. Suppose g*t + 0*t = 0. Factor 4/11*m**2 + 0 + 2/11*m**3 + t*m. 2*m**2*(m + 2)/11 Factor -5*v**2 - 748*v**3 + 5 + 747*v**3 + v + 0*v. -(v - 1)*(v + 1)*(v + 5) Let s be 2*(-2)/(-4 + -10). Let -2/7*q + 0 + 2/7*q**4 + 2/7*q**3 - s*q**2 = 0. What is q? -1, 0, 1 Let t(k) be the third derivative of -k**2 - 1/6*k**3 - 1/240*k**5 + 0 + 1/24*k**4 + 0*k. Let
{ "pile_set_name": "DM Mathematics" }
*2 - (-4 + -1*sqrt(1200)). -1896 + 270*sqrt(3) Simplify (-5*sqrt(30)*-1)/(sqrt(48)/(sqrt(32)/sqrt(4))). 5*sqrt(5) Simplify ((-1*sqrt(1872))/sqrt(4))**2 - (0 + sqrt(468) + 2)**2. -24*sqrt(13) - 4 Simplify ((sqrt(162)/(2*sqrt(1296) + sqrt(9)) + 5)*-1)**2*3. 18*sqrt(2)/5 + 46929/625 Simplify (sqrt(704) + sqrt(704)*-4 + -5 + sqrt(704))**2 - -2*(sqrt(704) + sqrt(704) + 0). 192*sqrt(11) + 2841 Simplify -3*((-1*sqrt(77))/sqrt(11) - (5 + (sqrt(112) - sqrt(7))))*-6. -72*sqrt(7) - 90 Simplify ((3 + sqrt(448))*-6 + sqrt(448) - sqrt(448) - (sqrt(448) - (sqrt(448) + (sqrt(448) - sqrt(448)*3)))*-4)**2. -576*sqrt(7) + 2116 Simplify (sqrt(50) + 1*sqrt(450))/(sqrt(40)*-5) + (-2*sqrt(1225))/(-6*(sqrt(5) - (sqrt(45) + sqrt(5)))). -53*sqrt(5)/45 Simplify 5*(-4*1*sqrt(5) + -1 - (3 + -4 + sqrt(45)))**2. 1225 Simplify -5 + ((sqrt(612) + sqrt(612) + -1)*-1*-3)**2*-5. -110210 + 1080*sqrt(17) Simplify (sqrt(5) + sqrt(5)*-1 + 4 + -3 - (sqrt(5) + 2 + sqrt(5) + sqrt(5) + 0 + sqrt(5) + sqrt(5) + sqrt(720) + sqrt(720)*-2)**2) + 5. -243 + 28*sqrt(5) Simplify (4*(-2*sqrt(156) - sqrt(156)) + sqrt(156)*-2*-2)/(sqrt(84)/(-5*sqrt(28))). 80*sqrt(13) Simplify -3 + ((-3*sqrt(605) - sqrt(605)) + -5 - sqrt(605)) + 2. -55*sqrt(5) - 6 Simplify sqrt(20)/(sqrt(12)/sqrt(3)*2) + 0 + 5. sqrt(5)/2 + 5 Simplify ((sqrt(33)/sqrt(3) + -3 + 4 + sqrt(11) + -1 - (-2*sqrt(176) + -3))*-1)**2. 60*sqrt(11) + 1109 Simplify ((-1 + sqrt(448))*-6*-1 - (-4*(sqrt(448) + sqrt(448)*-1) + 1*sqrt(448)*2))**2. -384*sqrt(7) + 7204 Simplify (-2*(sqrt(448) + -1) + ((sqrt(847) + -2)*-6 - sqrt(847)))**2. -2604*sqrt(7) + 60739 Simplify (sqrt(25)/sqrt(5)*1 + 0)**2 - (sqrt(45)*5 + (sqrt(500)*-1)**2). -495 - 15*sqrt(5) Simplify (-1 + 4*5*(sqrt(320) + sqrt(320) + 2))**2. 24960*sqrt(5) + 513521 Simplify -5*((sqrt(567)*-1)**2 + 0 + -5 + -1*sqrt(343)). -2810 + 35*sqrt(7) Simplify ((sqrt(70) + (sqrt(70) + sqrt(70)*1 + sqrt(70) - sqrt(70))*6)/(sqrt(10) + (sqrt(10) - (sqrt(240)/sqrt(4))/sqrt(6)) + sqrt(10) - sqrt(10))*4)**2. 18928 Simplify -5 + -3*(-4*(-4 + (sqrt(931) - -2*sqrt(931)))*3)**2. -3626645 + 72576*sqrt(19) Simplify 2*((-3 + sqrt(75) + sqrt(75))*-5)**2*2. -6000*sqrt(3) + 30900 Simplify (4*(-5*(sqrt(85) - (sqrt(85) - (sqrt(85) - (sqrt(85) + (sqrt(85) + sqrt(85)*1 - sqrt(85)))))) + sqrt(85) + sqrt(85)))/(4*sqrt(245)*1). sqrt(17) Simplify (-2*(sqrt(847) + -2 + -5) - (2*(sqrt(847) + 1) + sqrt(847) - ((sqrt(847)*2 - sqrt(847)) + 0)))**2. -1056*sqrt(7) + 13696 Simplify (5*((-2 + sqrt(5))*1 - sqrt(35)/sqrt(112))*1)**2. -75*sqrt(5) + 2725/16 Simplify 6*(5*sqrt(1100))**2 + (sqrt(66) - (sqrt(66) - (5*sqrt(66) + sqrt(66))))/sqrt(6) + 2. 6*sqrt(11) + 165002 Simplify 3*(-5 + -3*sqrt(833)) + 4. -63*sqrt(17) - 11 Simplify 2*((-3*(sqrt(5) + -1 + 3))**2 - ((-2*(sqrt(180) - sqrt(45)))/sqrt(9))**2). 122 + 72*sqrt(5) Simplify ((sqrt(1176) + 1*sqrt(1176) - sqrt(1176) - sqrt(1176)) + sqrt(24))/(3*sqrt(72)/sqrt(6)). sqrt(2)/3 Simplify 2*(sqrt(1280)*-5)/(sqrt(250)*-1). 16*sqrt(2) Simplify 1*((2*sqrt(432)*-6)**2 - (0 + sqrt(432) + 0 - sqrt(432))**2) + -3. 62205 Simplify (1 + 2*sqrt(304) + 0)**2 + 3*(sqrt(684)*1 - sqrt(684)) + sqrt(684)*-1 + -3. 10*sqrt(19) + 1214 Simplify (sqrt(833) + sqrt(833)*-2*-2)*-1 + (0 + (1 + sqrt(833))*-3)**2. 91*sqrt(17) + 7506 Simplify -5*(sqrt(4) + sqrt(36))/sqrt(2) + (2 + sqrt(10)/sqrt(5))*-5. -25*sqrt(2) - 10 Simplify ((sqrt(304) + 4 + sqrt(304) + -5)*-1*-6)**2. -576*sqrt(19) + 43812 Simplify (sqrt(637) + -2 + 5 + sqrt(637) + (sqrt(637) - (sqrt(637) + sqrt(637) + 1)*-4))**2 + 3. 1078*sqrt(13) + 77129 Simplify (-3 + (sqrt(3) + (sqrt(3) + 1 - sqrt(3)))*1 - (sqrt(252)/sqrt(192))/sqrt(7)) + -3. -5 + 3*sqrt(3)/4 Simplify ((sqrt(128)*2)**2*-2 + 2)*5. -5110 Simplify (-5*(3*(sqrt(204) + (sqrt(204)*-1 + sqrt(204) - sqrt(204))) - sqrt(204)))/(6*2*sqrt(1200) + sqrt(1200)). sqrt(17)/26 Simplify ((sqrt(121) - -5*(sqrt(121) - (2*sqrt(121) + sqrt(121)))) + -6*sqrt(121)*-1)/(2*(-1*sqrt(1584) - sqrt(1584) - sqrt(1584) - sqrt(1584) - sqrt(1584))). sqrt(11)/40 Simplify ((sqrt(165) - sqrt(165)*-2)/sqrt(11)*4)/(sqrt(15)/sqrt(5)*1 - sqrt(30)/(sqrt(10)*2)). 24*sqrt(5) Simplify -1*(1 + (2*sqrt(153) + 5)*-2). 9 + 12*sqrt(17) Simplify (-1*(sqrt(112) + (sqrt(112) + -5 + 3 + sqrt(112) - sqrt(112))))**2 + ((sqrt(112)*2)**2*6 - (sqrt(112) - sqrt(112)*1*-3)). -48*sqrt(7) + 3140 Simplify (3 + sqrt(13) + -3 + sqrt(13) - (sqrt(13)*-3 + -1))*5. 5 + 25*sqrt(13) Simplify 5 + -6*((3*(-1 + sqrt(1377)))**2 + (sqrt(1377)*-3 + 3)**2). -148819 + 1944*sqrt(17) Simplify (2 + (sqrt(2299) + 1 - sqrt(2299)))**2 - (2 + sqrt(2299) + (sqrt(2299)*-2)**2). -9189 - 11*sqrt(19) Simplify (0 + (sqrt(180) + 0 + sqrt(180) + 1 - (0 + 2*sqrt(180))))**2. 1 Simplify (sqrt(2057) - (sqrt(2057) + sqrt(2057)*-1))**2 + (-1 + sqrt(153))**2 + 5 + (sqrt(272))**2 + 0. -6*sqrt(17) + 2488 Simplify (5*(sqrt(4212) + 0)*-5)**2. 2632500 Simplify -6*-4*(sqrt(5) - (sqrt(5) + 0)) - (2 + sqrt(5))*-6*-6. -36*sqrt(5) - 72 Simplify (sqrt(30)*-5*1*-4)/(sqrt(90)/(sqrt(243)/sqrt(3))). 60*sqrt(3) Simplify ((-2*sqrt(160))/sqrt(4)*3)/((sqrt(8) - (sqrt(8) - ((sqrt(1152) - (sqrt(1152) + sqrt(1152) + (sqrt(1152)*1 - sqrt(1152)))) + sqrt(8)))) + -5*sqrt(72)). 3*sqrt(5)/13 Simplify -3*(4 + (-4*(sqrt(175) + sqrt(175)*-1 + sqrt(175)) + 0)**2)*6. -50472 Simplify (2 + ((sqrt(11) + (sqrt(11) - sqrt(33)/sqrt(3)))*4 + (sqrt(11) - sqrt(99)*1))*4)**2. 32*sqrt(11) + 708 Simplify -1*-5*((sqrt(5) - (sqrt(5) + 1 + -3)) + sqrt(5) + sqrt(55)/(sqrt(11) + 2*sqrt(11)) + sqrt(5))**2. 140*sqrt(5)/3 + 1405/9 Simplify (sqrt(243) + 3 + -3 + sqrt(243))*5 - sqrt(243)*-3*-1*4. -18*sqrt(3) Simplify (2*(-3 + -1 + sqrt(5) + sqrt(500) + sqrt(500)*-2))**2. 288*sqrt(5) + 1684 Simplify -3 + (5 + sqrt(15)/(6*(sqrt(3) + sqrt(15)/sqrt(5))))**2*2. 5*sqrt(5)/3 + 3389/72 Simplify ((3*(sqrt(78) - (sqrt(78) - sqrt(78)*-1)) - sqrt(78)) + sqrt(78) + sqrt(78))/(sqrt(726)*-5 - sqrt(726)). sqrt(13)/33 Simplify ((sqrt(99)/sqrt(3))/sqrt(3) + -2)*6 - 6*(2*-2*sqrt(176))**2. -16908 + 6*sqrt(11) Simplify (2 + -5 + sqrt(162) + 1)**2 - ((sqrt(162) - (sqrt(162) + 1)) + -1 - (1 + sqrt(162) + -1)**2). -36*sqrt(2) + 330 Simplify ((6*(sqrt(80)*-2 - sqrt(80)))/sqrt(2))/(2*sqrt(288)*4). -3*sqrt(5)/8 Simplify (sqrt(392)*1*-2)**2 + (sqrt(392) + (sqrt(392)*-4 + sqrt(392))*5 + sqrt(392))**2. 67816 Simplify (0 + -6*(-4 + sqrt(405) + 1)**2)*-5*-6. -74520 + 9720*sqrt(5) Simplify ((1*sqrt(325) + -5)*1 + -6*(-2*sqrt(325) + 1))**2. -1430*sqrt(13) + 55046 Simplify ((sqrt(95) - sqrt(95)*-1*4) + -2*sqrt(95)*1)/(sqrt(35)/((sqrt(7) + sqrt(28))*2)) + 3. 3 + 18*sqrt(19) Simplify (0 + sqrt(800) + 3 - (1 + sqrt(800) + 2))**2. 0 Simplify 1 + sqrt(832) + 4 + 2 + sqrt(832) + ((2 + -2*sqrt(832))*4)**2. -1008*sqrt(13) + 53319 Simplify (4*(sqrt(475) - (-1 + sqrt(475)*1)) + 3)*6. 42 Simplify -1 + (5 + (sqrt(11) + -1*sqrt(891) - sqrt(11)))**2 + sqrt(891) + (5 + sqrt(891) + (sqrt(891) + 0 - sqrt(891)) + sqrt(891))**2 + sqrt(891). 108*sqrt(11) + 4504 Simplify (-3*(sqrt(91) + sqrt(91) + sqrt(91)*-3 + sqrt(91) + sqrt(91))*4)/((-2*sqrt(63))/sqrt(9) - -2*sqrt(343)). -sqrt(13) Simplify -1 + (((sqrt(102) - -6*1*sqrt(102)) + sqrt(102) - sqrt(102))*4)/(sqrt(6) - sqrt(24)*-3 - sqrt(18)/sqrt(3)*5). -1 + 14*sqrt(17) Simplify (-6*3*-3*sqrt(102))/(sqrt(24)/(sqrt(12)/sqrt(3)) + sqrt(6) + sqrt(24)*-6). -27*sqrt(17)/5 Simplify (-5 + -4 + sqrt(75) + -1 + -2*sqrt(75) + 2)*-4 + 0. 32 + 20*sqrt(3) Simplify -3 + (-4*3*(sqrt(448) + 0))**2 + 5 + -2. 64512 Simplify 4 + (sqrt(891) + 0 + -1 + 1 + sqrt(891) + -1)**2*-4 + 4. -14252 + 144*sqrt(11) Simplify ((sqrt(320) - -1*sqrt(320)) + 3 - sqrt(320))**2 - sqrt(135)/sqrt(3)*2. 42*sqrt(5) + 329 Simplify 3*(sqrt(380)/sqrt(10)*-2)/((sqrt(2) - (sqrt(200) + sqrt(200)*-5)) + sqrt(2)). -sqrt(19)/7 Simplify ((sqrt(78)*-1*-4)/(sqrt(1200)/sqrt(8)) + 2)**2 + -1. 283/25 + 16*sqrt(13)/5 Simplify -3*(-3 + 1*(2 + sqrt(1300)))**2 + 4. -3899 + 60*sqrt(13) Simplify (5 + (6*(sqrt(396) + (sqrt(396) - (1 + sqrt(396)*-3)) - sqrt(396)))**2)*-2. -456274 + 3456*sqrt(11) Simplify -5 + (((sqrt(242) + sqrt(242) + 0)*6 + sqrt(242) - (sqrt(242) + -1)*-6) + 4 + (sqrt(242) - (2*sqrt(242) + 5)))**2. -2772*sqrt(2) + 78452 Simplify ((-3*(sqrt(84) - sqrt(84)*1) + sqrt(84)*-2*-6)/(sqrt(84)/(-2*sqrt(7))*-2))**2. 1008 Simplify (-4*(2 + sqrt(13) + sqrt(13) + (sqrt(65) + -5*sqrt(65))/sqrt(5) + -3 + sqrt(39)/sqrt
{ "pile_set_name": "DM Mathematics" }
? (a) v (b) o (c) -1 (d) -4 d Let i = 1.67 + 1.33. Let v = -5.2951 - -0.2951. Which is the fourth biggest value? (a) 2/17 (b) -3 (c) v (d) i c Let w = -19.511 - 1.489. Which is the second biggest value? (a) w (b) 5/6 (c) -1/6 (d) 2 (e) 4 d Let q = -3220.99 + 3221. What is the second biggest value in -1/4, q, -0.4? -1/4 Let c be (148/222)/(2 - -2). Let t = -17 - -37. What is the third biggest value in t, 2, c? c Let s = -1.9836 - -16.9836. What is the fourth smallest value in 3, -31, 0.5, -3/5, s? 3 Let x(j) = j + 12. Let y be x(-8). Suppose 0 = -y*k + 107 + 1. Let d = k + -19. Which is the third smallest value? (a) 1 (b) d (c) 3/2 b Let i(y) = -y**3 + 11*y**2 + 146*y + 83. Let m be i(19). What is the fourth smallest value in m, 0.4, 4, 1, 0.1? 1 Suppose 0 = h - 1, -105*t - 3*h = -108*t + 39. Let u be (4 - t)*(-6)/(-30). What is the third smallest value in 15, 2, 3, u? 3 Let p = 3.66 - 3.46. What is the smallest value in -49, p, 2? -49 Let q = -14/13 - -125/104. Suppose -2*i - 5*m = -19, 5*m - 2*m = -21. What is the second smallest value in i, q, -0.4? q Let u = 511 + -519.31. Let z = -3.31 - u. Which is the biggest value? (a) 1/7 (b) 2/11 (c) z (d) 2/5 c Let g = 20777/6 + -3463. What is the third biggest value in 4, 0.3, -52, g? g Let h = -1 - -1.3. Let n = 1 - 81. Let j = -80.3 - n. What is the third smallest value in 7, j, h? 7 Let b = -320 - -320. Suppose 0 = 3*f + 3*l + 3, -7*f + 3*f - 5*l = b. What is the third smallest value in f, 1/4, -10? 1/4 Let r = -65662/35 - -1876. Let m(u) = u - 2. Let k be m(7). What is the second biggest value in k, -2/11, r? r Let p = 8.8 + -9. Let t be (-1440)/(-1120) - (-1)/(-1). What is the third biggest value in 1, 3/5, t, p? t Let t be (-45)/(-24)*8/18. Suppose -89*f + 11031 = -14*f - 2394. Which is the third smallest value? (a) t (b) -3 (c) f c Let y = -119/316 - -10/79. Which is the third biggest value? (a) -3 (b) -2 (c) y a Let a be (-2)/17 - ((-20999)/(-4012) - 3). Let j = a + 6/59. What is the second biggest value in j, -1/17, -1/10? -1/10 Let f be ((-39)/(-1196))/((-15)/40). Which is the biggest value? (a) -0.4 (b) 3/8 (c) 1/2 (d) f (e) 2/5 c Let w = 1.22 - -0.78. Let i = 82 - 87. Which is the second smallest value? (a) -1.1 (b) 5 (c) i (d) w a Let l = 140 + -166. Which is the second smallest value? (a) 0.2 (b) 10 (c) l a Let o = -1842 + 1850. Which is the third smallest value? (a) -0.3 (b) o (c) -35 b Let x = -63229/6 + 10538. What is the fourth biggest value in 3/13, -5, x, 2/5, -1? -1 Let c = -530.4 + 530.1. What is the third biggest value in 1/6, -3757, c? -3757 Let r(s) = -s**2 - 7*s - 2. Let o be r(-6). Let m = 30.47 - 0.47. Let j = m + -29.8. What is the second smallest value in o, j, 1? 1 Let d = -260 + 261. Let a be (-15)/360 - d/3. Let g be 6/(-5) + 2/1. What is the third biggest value in g, -5, a? -5 Let a = -318 + 177. Let g = -140.9 - a. Let x = -0.3 + 0.25. What is the biggest value in g, 1, x? 1 Let i be (-23)/1 + -1 + 4. Let u be ((-2)/i)/((-6)/(-24)). Let s be (-22 + 2)/(-4) + -3. What is the third smallest value in u, -0.1, s? s Suppose 97*q = -24*q. What is the smallest value in -4, 4, q, -3, 0.07? -4 Let m = -3374 + 3341. What is the third biggest value in 0.5, 0, m? m Suppose 0 = 5*j - 159*t + 161*t + 38, -46 = 5*j + 4*t. What is the biggest value in -0.5, 0, -3, -5, j? 0 Let b = 29685 + -29681. Let t = 2 - -1. Let p = -3.5 + t. What is the smallest value in -3, -2/19, b, p? -3 Let j(v) = -7*v**3 + v - 8. Let x be j(-3). Let a = x + -172. What is the second biggest value in a, -3, 0? 0 Let i = 24572.3 - 24567. What is the third biggest value in i, -2, -1/4, 4? -1/4 Let l = 745 - 341. Let c = -404.2 + l. Suppose 3*b - 9 = 4*t - 2, -4 = 4*b - 2*t. What is the biggest value in b, 2/7, c? 2/7 Let y = 5 + 0. Let l = y - 4.6. What is the third biggest value in l, -1, -1/3? -1 Let j = 908 + -485. Let z = 422.7 - j. Which is the biggest value? (a) z (b) -5/3 (c) -42 a Let p = 4 - 4. Let j = 19.038 - 36.038. Which is the smallest value? (a) j (b) 2 (c) p a Let k = 2 - 4. Let f(i) = -10*i**2 + 3*i + 7. Let v be f(-1). Let x be v/51 - (-1656)/204. Which is the biggest value? (a) x (b) -5 (c) k a Let j = -2544 - -2540. Which is the second smallest value? (a) 0.3 (b) -0.041 (c) j (d) -2/3 d Let j = -1531/2535 + 2/507. Let u = 1.1 - 1.1. Which is the second biggest value? (a) u (b) j (c) 4 (d) 3 d Let m = -16 + 12. Let a(z) = -11*z + 19. Let b be a(-10). Let l = b + -1159/9. What is the biggest value in l, m, 4, 1? 4 Let l = -31.039 + 0.039. Let p = 35 + l. Let a = -4.1 + p. What is the second biggest value in a, -4, -0.4? -0.4 Let b(q) = q**2 - 4*q + 10. Let l be b(5). Suppose l*k - 10 = 10*k. Suppose k + 22 = c. What is the second smallest value in 0.5, c, -0.4? 0.5 Let w = -15465.6 + 15466. What is the second biggest value in 23, w, 5? 5 Let z = -1/45 + 19/45. Let x = 10083.8691 + -10078.8. Let q = x + -0.0691. What is the second smallest value in q, -0.4, z, -3/2? -0.4 Let g = -2028/875 + 4/125. What is the second biggest value in g, 6/5, -1.2? -1.2 Suppose 3*w - 15 = -4*m, 2*m - 8 = -3*w + 13. Suppose 30*o = 28*o + 6. Which is the second smallest value? (a) w (b) o (c) 4 c Let d = 5.3648 - 0.3648. Which is the third biggest value? (a) d (b) 63.3 (c) 0.1 c Let f = -416.8 + -26.2. Let p = f - -442.647. Let t = p + 0.053. Which is the third biggest value? (a) t (b) 2 (c) -1/3 c Let d = 3/5 + -31/10. Let o be (-2400)/(-270) - (-5)/45. What is the second biggest value in -3, 1/10, d, o? 1/10 Let r be (-2)/5 + 66/15. Suppose -6 = 3*o - y, 2*o - r*o - 5 = -y. Which is the third biggest value? (a) o (b) -4 (c) -2/15 (d) 0.1 a Let v = -175.827 - -175.727. Let h = 2 + -1.5. Let u = h + -1.5. What is the second biggest value in u, v, 4? v Suppose 5*t + 4*c = -165, c + 17 + 15 = -t. Let p be -1 - -5 - (t + 42). What is the third smallest value in -0.1, -36, p? -0.1 Let c = 20.899 - 20.8. Let o = c - -2.001. Let p = -1.1 + o. What is the third biggest value in p, 0.5, 3, 4? p Let j = 4.42 - 0.22. Let u = -2455 - -2451. Let i = j + u. Which is the fourth smallest value? (a) -3 (b) 0 (c) i (d) -5 c Suppose 0 = 4*g - 4*r - 20, -6*g + 15 = -g + 5*r. Let o = -13 - -12.8. What is the fourth smallest value in -0.3, o, 2/63, g? g Let w = 760.8 - 756. Let y be 30/(-9)*3/4. What is the biggest value in w, -0.3, y? w Let x = -29017 - -29014. What is the third smallest value in 307, x, 0, -4, -0.1? -0.1 Let y = -2785 + 2771. Which is the third biggest value? (a) -2/5 (b) y (c) -1/2 b Let h = -271.192 - -271. Let y = -0.492 - h. What is the smallest value in 5, y, 1/10? y Let v = 325/6 - 54. Let f = -201 - -201. Which is the smallest value? (a) v (b) f (c) 3 b Let f = 4718 + -4735. What is the second biggest value in -2/5, -0.6, f, 1? -2/5 Let x be 4/12 + 20/(-30). Let k = 9 - 10. Which is the third smallest value? (a) 1 (b) 0.4 (c) k (d) x b Let j = 18688 + -18701. Which is the fourth smallest value? (a) 14 (b) -1/2 (c) -2 (d) j a Let c = 0.3206 - 0.329. Let b = -1.0084 - c. Let d = -1/3 - -5/6. What is the second smallest value in 5, b, 0, d? 0 Suppose 2*h = -562 - 54. Let l = -611/2 - h. What is the smallest value in 7, l, -0.4, -2/9? -0.4 Let g = 28539 - 28434. Which is the second smallest value? (a) -0.13 (b) g (c) -3/5 a Let g = 0.038 + -0.032. Let v = -27.006 + g. Let o = -25 - v. What is the third smallest value in -0.5, 1, o, 0? 1 Let n be (0 + -1)/((-1)/(-21)). Let w be (-11)/(-5) - (2 + 0). Let o = 6.624 + -6.524. Which is the third smallest value? (a) n (b) 3 (c) w (d) o c Let l = 66 + -460/7. Let t = -0.1252 + -0.0748. What is the smallest value in t, l, 21, -3? -3 Let p = 2595.99 - 2596. Which is the fifth smallest value? (a) 0.2 (b) -2 (c) p (d) -4 (e) -41 a Let c = 16.199 - 16.281. What is the third biggest value in 13, -1, c? -1 Let k = -33.025 - -33. Let v = 40 - 39.525. Let l = k - v. Which is the third smallest value? (a) -0.4 (b) l (c) -3 (d) 2.7 a Let q = -16.8901 - 0.1099. Let z = 16.3 - -0.7. Let y = z + q. Which is the smallest value? (a) y (b) -2/23 (c) 2 (d) -4 d Let y = -523/99 - -50/9. Let h be (-28)/(-3)*(8 + -40 + 11). Let v = h + 1374/7. Which is the fourth smallest valu
{ "pile_set_name": "DM Mathematics" }
**4/24 + 7*i**3/6 + 2*i**2. Let w be b(-7). Suppose o = -w*o + 33. Is 13 a factor of o? False Suppose 2 = -3*f + 8. Suppose 6*u = f*u + 32. Is u a multiple of 2? True Let m(u) = -u - 17. Let w be m(0). Let o = -6 - w. Is 5 a factor of o? False Is 2 a factor of (((-9)/5)/3*5)/(-1)? False Let d(b) = 4*b**3 + 15*b**2 - 9*b + 9. Let r(o) = o**3 + o**2. Let q(g) = d(g) - 5*r(g). Suppose -4*a + 0*i - 4*i + 36 = 0, 0 = 5*i. Is q(a) a multiple of 9? True Let o = 31 + -26. Does 3 divide o? False Let w = 26 + 13. Suppose -2*u - 41 = 3*v, 5*v + w = 2*u - 8. Let x = v + 37. Is x a multiple of 9? False Let b(n) be the second derivative of n**5/20 - 5*n**4/12 + 2*n**3/3 + 2*n**2 - 2*n. Is 6 a factor of b(5)? True Suppose -2*r - 2*a - 32 = 0, -4*a - 19 + 59 = -4*r. Let t = r - -30. Is t a multiple of 9? False Let c be 1/(-2) - (-15)/(-6). Is (4/10)/(c/(-30)) even? True Suppose 0 = -0*o - o + 5*d + 17, 3*o - 2*d = 12. Is o - -14*10/4 a multiple of 13? False Let c = -15 - -7. Let x = 8 + -7. Let r = x - c. Is r a multiple of 6? False Let j = -95 + 294. Is j a multiple of 9? False Let q(s) = -s + 5 - 6 + 10. Let m be q(5). Suppose -m*d + d = -114. Is 19 a factor of d? True Let z be -2 - -1*(1 - -6). Suppose -z*n - 8 = -c, 2*c - 18 = 2*n - 2. Is 8 a factor of c? True Let o = -7 + 6. Let s be ((-26)/(-8))/(o/(-8)). Suppose -j = -0*j - s. Is 13 a factor of j? True Let c(b) = -b**2 - 13*b - 6. Let w(f) = -2 + f - 2 + 3. Let l be w(-5). Is c(l) a multiple of 18? True Suppose -5*p = -5*d + 355, -d + 2*p = -6*d + 320. Suppose -d = -5*z + 29. Is z a multiple of 12? False Let h(x) = x**2 - 8*x + 6. Let n be h(8). Let o(k) = 11*k - 6. Let g be o(n). Suppose z = 4*z - g. Is 6 a factor of z? False Does 16 divide (-4372)/(-14) + -1 + (-120)/420? False Let y(i) = 16*i**2 + 3*i + 3. Is y(3) a multiple of 13? True Let j = 92 - 36. Does 28 divide j? True Let t = 1 - 19. Does 4 divide 1860/108 + 4/t? False Let u(p) = -p**3 + 10*p**2 - 8*p + 9. Suppose 5*w = 3*y - 7 - 10, 0 = 5*y + w - 47. Is u(y) a multiple of 9? True Let x(i) = -5*i**2 + 3 + i**3 + 3*i**2 - 6 - i - 1. Let l be x(3). Suppose 8*d - 6 = -l*r + 4*d, -d + 29 = 3*r. Is 11 a factor of r? True Suppose 0 = 5*g - 4*g - 1. Suppose -6*v + v = -5*s + 60, -g = -v. Is s a multiple of 4? False Suppose -f - 3*f + 533 = y, -y + 5*f + 515 = 0. Suppose 0 = -x - 0*x - y. Is 15 a factor of x/14*(-8)/10? True Let h(m) = 6*m**2 + m + 2. Suppose p = 2*p - 3. Let r(c) = c**3 - 4*c**2 + 5*c - 4. Let s be r(p). Is 10 a factor of h(s)? False Suppose m = -c - 5 + 22, -2*m - 8 = 0. Is 3 a factor of c? True Let b(o) = o**3 - o**2 - 3*o + 1. Let n be (-33)/(-7) - 8/(-28). Suppose -n*v + m = -2 - 10, 2*v + m - 9 = 0. Is 10 a factor of b(v)? True Let q be -12 - -2 - (2 + 0). Suppose 0 = -3*w + 4*w + 4*i + 9, 9 = -2*w - 5*i. Is 159/4 - w/q a multiple of 11? False Let q(b) = 12*b**3 + b - 1. Suppose -7*t = -3*t - 5*o - 9, 3*o = -4*t + 1. Is 6 a factor of q(t)? True Let u be (-5)/20 + (-2)/(-8). Let j = 2 - u. Is 2 a factor of j? True Suppose 3*v - 8 - 10 = 0. Let c = -2 + v. Is c a multiple of 2? True Let y = 48 - 5. Suppose 0*h = h + 3*k - y, -66 = -2*h + 4*k. Is 2/(-8) + h/4 a multiple of 9? True Let h(y) = -y**3 - y**2 + 2*y + 3. Let m be h(-2). Is 7 a factor of 1*9 + (-6)/m? True Suppose -2*q = 3*q - 25. Is q a multiple of 5? True Suppose 3*n + 1065 = 3*m, 1810 = 5*m - 2*n + 4*n. Does 12 divide m? True Let p(d) = 2*d**2 - 6*d + 2. Let r(t) = 2*t - 5. Let s be r(5). Does 20 divide p(s)? False Let s = 16 - -50. Is 22 a factor of s? True Let a(z) = -3*z**3 + z**2 - 1. Let j be a(-1). Let s = 36 + 16. Suppose 2*r + 3*r = 3*n + 130, 0 = -2*r - j*n + s. Is 13 a factor of r? True Let t be 4/10 + 44/(-10). Let a = t - -9. Suppose -4*x - 15 - 35 = -3*k, -a*x = 3*k - 86. Is 11 a factor of k? True Let u be (-7 - -6)/(2/(-10)). Suppose 3*r - 3*s = 45, 7*s - u = -3*r + 2*s. Does 4 divide r? False Let z(i) = -8*i**2 + 8 + 3*i**3 - 3*i - 4*i**3 + 6*i. Is 26 a factor of z(-9)? False Suppose 5*o = 3*o. Suppose -4*n + o*n - 64 = -4*z, -5*z = -3*n - 72. Is z a multiple of 3? True Does 7 divide -3 + 2*45/2? True Let r = -1 - -3. Suppose 10 = r*b - b. Is b a multiple of 5? True Let w(b) = b**3 + b - 1. Let h(l) = 7*l**3 + 3*l**2 - 2*l - 9. Let t(r) = -h(r) + 6*w(r). Is t(-5) a multiple of 13? True Suppose -3*z + 4*z = -1. Let w be -4 - -11 - z*2. Suppose -10 = 2*d, l + 2*d - d - w = 0. Is 12 a factor of l? False Suppose 2*w + 14 = -0*w. Let g(o) = -o**2 - 7*o + 6. Is g(w) a multiple of 3? True Suppose -r + 4 + 16 = 0. Let s be 14/5 - (-4)/r. Suppose -25 + 6 = -s*t + g, -22 = -2*t - 4*g. Is t a multiple of 7? True Let p(j) = j**3 + 3*j**2 - 2*j - 3. Let c = -3 + 7. Suppose -3*y + 1 - 2 = 5*d, -c*d + y = 11. Does 3 divide p(d)? False Let b = 3 + 14. Suppose 0 = x - b + 7. Does 5 divide (-3)/(-24)*x*8? True Let f(p) = p**3 + 14*p**2 - 4*p - 3*p - 7*p**2 + 4 - p. Suppose -3*c = -0*c + 24. Is f(c) even? True Let o(c) = 7*c**2 - 2*c. Is o(2) a multiple of 14? False Let d(h) = 2*h**2 + 12*h - 22. Is 52 a factor of d(-16)? False Let k(j) = 2*j**2 - 6*j - 7. Let q be k(5). Suppose 2*y + 4*u = -16, -2*y + 5*u - q = y. Does 10 divide (-214)/y + (-4)/6? False Let s(v) = -v**3 - 11*v**2 - 12*v + 8. Suppose 3*g - 2*g = -10. Is s(g) a multiple of 13? False Let q = -4 + 3. Is (2/(-6))/(q/81) a multiple of 9? True Let n = 112 + -186. Let l = -52 - n. Is (l - 0)*(-2 + 3) a multiple of 8? False Let r = 18 + -16. Suppose q = r*q + 5*j - 93, 2*q - 186 = j. Is q a multiple of 19? False Let d(n) = 5*n**2 - 7*n + 5. Let g = 7 - 3. Let u be d(g). Suppose u = 2*r + 3. Is 11 a factor of r? False Let h = 55 + -34. Is h a multiple of 6? False Let a be (-506)/(-7) + (-2)/7. Let u = -40 + a. Is 15 a factor of u? False Suppose -8 = 3*f - 32. Suppose 0*h = h + f. Is 42*(h/(-3) - 2) a multiple of 13? False Let u = 76 + 33. Suppose -4*v = -u - 59. Is 21 a factor of v? True Suppose 4*f + 74 = d + 9, d - 55 = 2*f. Let g = 111 - d. Suppose 3*l = g + 33. Is l a multiple of 12? False Let x(b) = -b**3 - 5*b**2 - 4*b + 4. Let q be x(-4). Suppose q*i + 2*h = -2*h + 72, -4*i + 45 = -5*h. Suppose 2*j = 41 - i. Does 6 divide j? False Let i = 1 - -13. Let o = i + -1. Is 9 a factor of o? False Suppose 31 = -5*g - 79. Suppose x - 12 = -3*x. Is 10 a factor of -3*2/x - g? True Let u = -134 - -188. Does 7 divide u? False Let k(x) = 3*x - 3 + x**3 - x - 1 + 9*x**2. Let n(q) = -q**3 - 5*q**2 + 3*q + 7. Let u be n(-5). Is 19 a factor of k(u)? False Let b(l) = 2*l**2 + 6*l + 7. Does 15 divide b(-4)? True Let x(i) = -i**3 + 4*i**2 - 2. Is x(3) a multiple of 2? False Let w(o) = -o + 8. Let p be w(5). Suppose 4*f - 2*f = 5*q - 1098, 1099 = 5*q - f. Suppose -2*v + 182 = p*z, -3*z - z + q = -3*v. Is 18 a factor of z? False Suppose 89 = 3*v - 127. Does 29 divide v? False Let w = -2 - -7. Suppose q - 2 = k, -w*q + 26 = -0*k + 3*k. Suppose k*l - 94 = -4. Is l a multiple of 19? False Let l(q) = 3 + q - 3*q + 0 - 6. Does 7 divide l(-10)? False Let f(w) = w**3 - w**2 + 3*w + 1. Let t be f(3). Suppose 0 = -3*h + h + t. Is 9 a factor of h? False Suppose -5*t = -4*l + 501, -5*l + 2*t = -10*l + 618. Does 31 divide l? True Let b(i) = 34*i**2 + 4*i + 2. Is b(-2) a multiple of 13? True Let d(v) = -v**2 - 8*v + 6. Let y be d(-8). Let h(c) = -c**3 + 5*c**2 + 8*c - 5. Is 4 a factor of h(y)? False Suppose -5*s - 2*l = -46, 3*l = -s + 2 + 2. Suppose -5*q = -p - 28 - s, -11 = -2*q - p. Is q a multiple of 4? False Let f be 40/7 - (-2)/7. Suppose 0 = -2*x + 24 - f. Is 9 a factor of x? True Let s = 52 + -15. Does 3 divide s? False Let p(g) = g**2 + 4*g + 1. Is 5 a factor of p(-6)? False Let a(r) = -r**2 + 13*r + 6. Is a(10) a multiple of 12? True Let q be -2*(1 + -2) - 1. Let o be q - (1 + -16 - 1). Is (2 + -1 - 2) + o a multiple of 8? True Let f(q) = 80*q**2 - 4*q + 5. Is f(1) a multiple of 15? False Let r(s) = -s + 1. Let x(k) = -5*k + 9. Let o(a) = -4*r(a) + x(a). Suppose -6 - 6 = -4*c - 4*u, 0 = 4*c - 5*u + 15. Is o(c) a multiple of 2? False Let d = 0 + 4. Is 15 a factor of (-7 - 3)/((-2)/d)? False Suppose -4*f = -56 - 136. Is 13 a factor of f? False Let s(j) = -j**3 + 4*j**2 + 2. Let q be s(4). Suppose -2*o = 4, -2*o + 10 = q*r - r. Is r a multiple of 14? True Let s(a) be the second derivative of a**4/12 - a**3/3 - a**2 + 2*a. Does 11
{ "pile_set_name": "DM Mathematics" }
2*r**3 + 0 - 1/160*r**6 + 3/80*r**5. Determine a, given that o(a) = 0. -1, 2 Factor 0*r**2 - 210*r + 245*r + 5*r**2 + 30. 5*(r + 1)*(r + 6) Suppose -42*k - 4 = -44*k. Solve -1/5*v - 2/5*v**4 + 2/5*v**k + 1/5*v**5 + 0*v**3 + 0 = 0 for v. -1, 0, 1 Let u(h) = -h**2 + h + 5. Let m be u(0). Suppose s - 15 = m. Solve 0*t**3 + 9*t**2 + t**3 + 27*t + 7 + s = 0. -3 Let q(g) be the third derivative of 1/105*g**7 + 1/60*g**4 - 1/100*g**6 - 1/150*g**5 + 0*g + 0*g**3 - 1/420*g**8 - 2*g**2 + 0. Factor q(a). -2*a*(a - 1)**3*(2*a + 1)/5 Suppose -6*t + 10 = 2*s - 3*t, -5*s + 16 = 3*t. Suppose -s = l - 6. Determine f, given that -6/7*f**3 + 2/7*f**l + 6/7*f**2 + 0 - 2/7*f = 0. 0, 1 Let u(c) be the second derivative of -c**5/10 - 19*c**4/18 - 11*c**3/3 - 3*c**2 + 13*c. Factor u(v). -2*(v + 3)**2*(3*v + 1)/3 Let z(p) = 3*p**2 - 2*p + 2. Let i be z(1). Let f(s) be the second derivative of 0 + 1/6*s**i + 2*s + 0*s**2 - 1/12*s**4. Factor f(c). -c*(c - 1) Let f(r) be the third derivative of r**7/245 - r**5/70 + 33*r**2. Factor f(x). 6*x**2*(x - 1)*(x + 1)/7 Let p be 1 + 4 + 4*-1 + 1. Factor 1/3*x**3 + x**p + x + 1/3. (x + 1)**3/3 Let u(g) = g**5 + g**4 + g**3 - g**2 - g - 1. Let q(j) = 4*j**5 - j**4 - 6*j**3 + j**2 + j + 1. Let i(h) = -q(h) - u(h). Determine b so that i(b) = 0. -1, 0, 1 Let c be (-5 + 66/12)/((-6)/(-20)). Factor -4/3*y**2 - c*y - 1/3. -(y + 1)*(4*y + 1)/3 Suppose -2*q + 30 = q. Let r(f) = -f**3 + 3*f**2 - 2*f + 3. Let k(j) = 4*j**3 - 10*j**2 + 6*j - 10. Let s = 2 - -1. Let l(t) = q*r(t) + s*k(t). Factor l(a). 2*a*(a - 1)*(a + 1) Suppose 5*b - 18 = 12. Let z be 122/b*(1 - -5). Factor 22*m**4 - 27*m**5 - 171*m**3 - 12*m**2 - 8 - 74*m**4 - z*m**2 - 56*m**4 - 52*m. -(m + 1)**2*(3*m + 2)**3 Let z(x) = x + 1. Let d be ((-22)/8 - -3)*4. Let i be z(d). Factor 1/3*y**3 - 1/3*y - 1/3*y**4 + 0 + 1/3*y**i. -y*(y - 1)**2*(y + 1)/3 Suppose 1 = n + 4. Let m = n - -5. Suppose 0*l - 3*l + 1 + 0*l + 3*l**m - l**3 = 0. Calculate l. 1 Suppose 4*n - 3*n = 2. Determine i, given that 0*i**3 + 0*i + 6*i**4 + 3*i**3 - 3*i - 3*i**4 - 9*i**n + 6 = 0. -2, -1, 1 Let u = -140/9 - -148/9. Let y(p) be the first derivative of -1/3*p**2 - u*p**3 - p**4 - 1/9*p**6 + 1 - 8/15*p**5 + 0*p. Factor y(c). -2*c*(c + 1)**4/3 Let 4/11*r + 0 + 2/11*r**2 = 0. Calculate r. -2, 0 Let l(i) be the first derivative of 2*i**5/35 - i**4/14 - 10*i**3/21 - 3*i**2/7 - 2. Solve l(a) = 0. -1, 0, 3 Let d(v) be the second derivative of -v**6/360 - v**2 + v. Let r(z) be the first derivative of d(z). Let r(m) = 0. Calculate m. 0 Let o(u) be the first derivative of -4*u**3/15 + 2*u**2/5 + 6. Determine n, given that o(n) = 0. 0, 1 Let u(k) be the third derivative of -k**9/30240 - k**8/2520 - k**7/504 - k**6/180 + k**5/60 + 3*k**2. Let x(t) be the third derivative of u(t). Factor x(o). -2*(o + 1)**2*(o + 2) Let v(c) be the first derivative of c**6/15 + 2*c**5/25 - c**4/5 + 14. Let v(h) = 0. What is h? -2, 0, 1 Let f(a) = -a**4 + a**2 - a. Let l(b) = 2*b**4 + 21*b**3 - 59*b**2 + 65*b - 24. Let o(h) = 5*f(h) + l(h). Factor o(c). -3*(c - 2)**3*(c - 1) Factor -5/4 + 1/4*z**2 - z. (z - 5)*(z + 1)/4 Suppose -2*c - 2*x + x = -11, -5*c = -3*x - 33. Let y be ((-4)/c)/((-4)/12). Factor -b**3 + 3*b + b + 4 - 3*b**y + 0*b - b**3 + b**4. (b - 2)**2*(b + 1)**2 Find n such that 6/5*n**2 + 4/5 + 1/5*n**3 + 9/5*n = 0. -4, -1 Let o = 24 + -17. Suppose -3*t + o = 1. Factor 1/3*k**4 + 0 + 1/3*k**3 + 0*k**t + 0*k. k**3*(k + 1)/3 Let g = -3 - -4. Let z = g - -3. Let 3*n**2 + n + n**3 + n**z + n**3 + n**3 = 0. What is n? -1, 0 Let i(u) be the second derivative of -2*u + 0 + 1/10*u**4 + 2/15*u**3 + 1/150*u**6 + 1/25*u**5 + 1/10*u**2. Factor i(o). (o + 1)**4/5 Let g(y) be the third derivative of y**5/20 - 4*y**4 + 128*y**3 + 24*y**2. Factor g(v). 3*(v - 16)**2 Let l = -275/2 - -138. Let 1/2*s**2 + 0 + l*s = 0. Calculate s. -1, 0 Let k(o) = 11*o**2 + 21*o + 1. Let m(n) = -3*n**2 - 5*n. Let f(v) = -v. Let s be f(7). Let r be 0/(-1) - (s - 2). Let z(h) = r*m(h) + 2*k(h). Factor z(c). -(c + 1)*(5*c - 2) Suppose 2*d = -2*d - 2*a + 16, -5*d + 20 = -4*a. Suppose -2*b + i - 2 + 4 = 0, 0 = b - 3*i + 4. What is u in -1 + b*u - 4 + 3*u**2 - d*u**2 + 4 = 0? 1 Suppose -4*k + 7*k = 0. Suppose -3*n - n + 2*j + 20 = 0, -5*j - 20 = k. Factor -5*u**4 + 2*u**4 + 2*u**2 - 4*u**5 + 3*u**5 + 3*u - 2*u**n + 0*u**5 + 1. -(u - 1)*(u + 1)**4 Suppose 2*q = 4 + 4. Suppose 4 = -3*x + q*x. Solve 0*w**x - w**5 + 2 + 2*w**4 + 2*w**3 - 3*w**2 - w**2 - 3*w + 2*w = 0. -1, 1, 2 Let u be (-14)/(-11) - 0/3. Factor 16/11*i**3 - u*i**4 - 4/11*i - 4/11*i**2 + 4/11*i**5 + 2/11. 2*(i - 1)**4*(2*i + 1)/11 Let a(l) = l**2. Let n(i) = -3*i**3 - 18*i**2 + 3*i + 6. Let z(f) = -12*a(f) - n(f). Factor z(b). 3*(b - 1)*(b + 1)*(b + 2) Let s = -210/31 + 3489/62. Find m such that s*m**3 - 75/4*m**5 + 15/4*m**4 + 0 + 33*m**2 + 6*m = 0. -1, -2/5, 0, 2 Let v = 22 + -16. Let k(h) = 7*h**2 + 5. Let t(d) = -4 + 1 - 3*d**2 - d**2. Let u(q) = v*k(q) + 10*t(q). Determine i so that u(i) = 0. 0 Let i(l) be the first derivative of -l**6/120 - l**5/20 - l**4/12 + l**2 - 2. Let q(c) be the second derivative of i(c). Suppose q(n) = 0. What is n? -2, -1, 0 Let k(z) be the first derivative of z**4/28 + 5*z**3/21 - z**2/14 - 5*z/7 - 55. Suppose k(x) = 0. Calculate x. -5, -1, 1 Let q = -482/3 + 162. Let h(p) be the first derivative of -4/5*p**5 + 0*p + q*p**3 + p**2 + 0*p**4 - 1/3*p**6 - 1. Find b such that h(b) = 0. -1, 0, 1 Let l(p) be the third derivative of -5*p**8/336 + p**6/24 - p**2. Factor l(g). -5*g**3*(g - 1)*(g + 1) Let t(p) = -3*p + 1. Let w be t(-1). Factor 2*j**3 - 2*j**w + 2*j**3 - 2*j**2 + 0*j**2. -2*j**2*(j - 1)**2 Let t be -2*((-21)/(-6) - 3). Let s be 1 + 2 + 2 + t. Factor m**2 + m**2 - 2*m**5 + m**3 + 3*m**5 - 2*m**s - 2*m**3. m**2*(m - 2)*(m - 1)*(m + 1) Let f(m) be the second derivative of -11/2*m**4 - 4*m**2 + 0 - 2*m + 9/5*m**5 + 20/3*m**3. Find z, given that f(z) = 0. 1/2, 2/3 Let k(l) be the second derivative of -l**6/900 + l**5/75 - l**4/15 - 5*l**3/3 - 3*l. Let a(u) be the second derivative of k(u). What is f in a(f) = 0? 2 Suppose 2*s + 9 = 5*s. Let q(g) = g + 1. Let l be q(s). Factor -o**5 - 4*o**4 - o**4 + 3*o**l + o**4. -o**4*(o + 1) Let c(f) = -8*f**3 + 64*f**2 - 119*f + 9. Let q(u) = -2*u**3 + 16*u**2 - 30*u + 2. Let k(p) = 4*c(p) - 18*q(p). Factor k(y). 4*y*(y - 4)**2 Find p, given that 9*p**3 - 3*p - 40*p**4 + 13*p**4 - 9*p - 8*p**2 + 32*p**2 = 0. -1, 0, 2/3 Suppose 4*y = 5*y - 3. Determine o so that y*o - 4*o**2 + 7 - 2 - 10*o**3 - 1 + 7*o = 0. -1, -2/5, 1 Let z(h) be the second derivative of h**5/210 - h**3/21 - 3*h**2/2 + 8*h. Let d(a) be the first derivative of z(a). What is u in d(u) = 0? -1, 1 Suppose -15 = 19*j - 53. Solve 24/7*h**5 + 8/7 + 264/7*h**3 + 218/7*h**j + 134/7*h**4 + 72/7*h = 0 for h. -2, -1, -1/3, -1/4 Let h(a) be the first derivative of -2*a**3/27 - 2*a**2/3 - 16*a/9 - 28. Factor h(g). -2*(g + 2)*(g + 4)/9 Let m(z) be the first derivative of -3 + 1/2*z**2 + 0*z - 1/30*z**4 + 1/150*z**5 + 0*z**3. Let t(y) be the second derivative of m(y). Solve t(f) = 0 for f. 0, 2 Let t be 3*((-14)/6 + -1). Let g = t + 12. Factor -l - 1/2*l**g - 1/2. -(l + 1)**2/2 Let x = -1 + 5. Factor 4*s**3 - x*s**2 - 2*s**3 - 5*s**2 - 5*s**3. -3*s**2*(s + 3) Suppose 0 = -t + 5*t - 12. Let w = 4 - -2. Determine x so that t*x**2 - 4*x**3 - 4*x**2 - w*x**4 + 3*x**2 = 0. -1, 0, 1/3 Let w(c) be the third derivative of -c**7/315 - c**6/54 + 5*c**4/54 + c**3/9 - 4*c**2. Determine t, given that w(t) = 0. -3, -1, -1/3, 1 Let z = -6 - -13. Suppose 4*a + 29 = 5*j, 2*j = z*j + 5*a - 20. Factor -2*i**3 + 2*i**4 - 3*i**4 + 3*i**5 + i**2 - i**j. i**2*(i - 1)*(i + 1)*(2*i - 1) Let o = 20 + -11. Let m(z) = z**3 - 5*z**2 - 6*z + 2. Let t(g) = -3*g**3 + 21*g**2 + 24*g - 9. Let f(k) = o*m(k) + 2*t(k). Determine x so that f(x) = 0. -1, 0, 2 Let d(h) be the third derivative of 0*h + 3/40*h**5 + 3*h**2 + 3/448*h**8 - 1/3*h**3 - 23/480*h**6 - 1/70*h**7 + 0 + 1/8*h**4. Suppose d(n) = 0. What is n? -1, 2/3, 2 Solve 66*t**3 - 14*t**3 + 210*t**2 - 705*t**4 + 3*t**3 + 710*t**4 + 200 + 340*t = 0 for t. -5, -2 Let o(x) = x**3 - 4*x**2 + 3*x + 2. Let y be o(3). Let 0 + 0*z - 2/3*z**y - 2/3*z**3 = 0. What is z? -1, 0 Let z be 9/18 - (-10 - 3). Determine o so that 27/2*o + 9/2*o**2 + 1/2*o**3 + z = 0. -3 Let h(r
{ "pile_set_name": "DM Mathematics" }
**2 + l*o*y**2 + 22*l*y - o**4*y**2 + 11*o**3 wrt o. 42*l*y**2 - 24*o*y**2 + 66 Find the third derivative of -2*n**3*r**3 + 16*n**3*r - 2*n**2*r**3 - 95*n**2*r + n**2 wrt n. -12*r**3 + 96*r Differentiate 43*c*i*l**2 - 2*c*i*l + 560*c*l**2 + c*l + 4*i*l**2 + i*l + l wrt i. 43*c*l**2 - 2*c*l + 4*l**2 + l Find the second derivative of 18*v**5 - 50*v**3 - 15*v - 10 wrt v. 360*v**3 - 300*v What is the third derivative of -6129*l*p**3 - 2*l*p**2 + 55*l*p - p**2 + 2*p wrt p? -36774*l Find the third derivative of 5*g*n**6 + g*n**5 + 8*g*n**3 - 406*g*n**2 wrt n. 600*g*n**3 + 60*g*n**2 + 48*g What is the first derivative of -d**3*x**3 + 264*d*x**3 - 5*d*x - 7774*x**3 wrt d? -3*d**2*x**3 + 264*x**3 - 5*x Find the third derivative of 396*a**2*d**4 - 2*a**2*d**3 - 50*a**2*d**2 + 2*a**2*d - 2*d**2 wrt d. 9504*a**2*d - 12*a**2 What is the second derivative of -6*c**3*n**2 - 5*c**3*n - 14*c**3 - 11*c**2*n**5 wrt n? -12*c**3 - 220*c**2*n**3 Differentiate -8*n**3 + 734*n**2 + 11542 wrt n. -24*n**2 + 1468*n What is the third derivative of -1080*h**4 - 2*h**2 + 188 wrt h? -25920*h Find the second derivative of 1995*s**4 + 2*s**3 + 2243*s wrt s. 23940*s**2 + 12*s What is the third derivative of 3*c**4*l - c**3*l**3 + 18*c**3*l + 5*c**2*l**3 + 6*c**2 - 2*c wrt c? 72*c*l - 6*l**3 + 108*l Find the second derivative of -254*w**3 - 115*w wrt w. -1524*w Find the second derivative of -o**4*t + 5*o**4 - 5*o**2*t**2 - 5*o*t**2 + 2*o*t - 23*o wrt o. -12*o**2*t + 60*o**2 - 10*t**2 What is the derivative of 4*b*x**2 - b + 55*x**3 - x**2 + 45 wrt x? 8*b*x + 165*x**2 - 2*x Find the second derivative of 244*a**3 - 1076*a. 1464*a What is the second derivative of 71*m**5 - 2*m**4 - 61*m? 1420*m**3 - 24*m**2 What is the derivative of 390*a - 349 wrt a? 390 What is the third derivative of d**3*s**4 - 69*d**3*s**2 + 2*d**3 - 11*d**2*s**5 wrt s? 24*d**3*s - 660*d**2*s**2 What is the second derivative of b*t**2 - 29*b*t - 72*t**2 - 1 wrt t? 2*b - 144 Find the second derivative of a**5*k + 2*a**5 - 41*a**2 + 478*a*k wrt a. 20*a**3*k + 40*a**3 - 82 What is the third derivative of o**4 + 111*o**3 + 24*o**2 + 6*o? 24*o + 666 What is the derivative of -1430*k**3 + 4396? -4290*k**2 What is the third derivative of -20*d*g**3 - 82*d*g**2 + 4*d*g - g wrt g? -120*d What is the third derivative of -1485*q**3 + 84*q**2? -8910 What is the derivative of 431*m + 4853? 431 Find the third derivative of -82*k**3*u**2 + 2*k**3 + k**2*u**2 + 85*k**2*u wrt k. -492*u**2 + 12 Find the third derivative of h**2*s*x**4 + 78*h**2*x + 4184*h*x**4 + 24*s*x**2 wrt x. 24*h**2*s*x + 100416*h*x Find the second derivative of -9567*r**4 + 9485*r. -114804*r**2 Find the third derivative of 18*y**4*z + 5*y**3*z**2 - 359*y**2*z**2 wrt y. 432*y*z + 30*z**2 Differentiate i**2*u + 104*i**2*v + 2*i*u*v**2 - 3*i*v**2 + 31*u*v**2 wrt u. i**2 + 2*i*v**2 + 31*v**2 Find the third derivative of -70*r**2*u**4 + 4*r**2*u**2 + r*u**4 - 3*u**2 wrt u. -1680*r**2*u + 24*r*u What is the second derivative of 65*a**4 + 2*a**2 - a - 453 wrt a? 780*a**2 + 4 Find the third derivative of 340*a**3 - 2*a**2 - 1002*a wrt a. 2040 Find the third derivative of 590*q**3*u**3 - 286*q**2*u + 2*q*u**3 wrt q. 3540*u**3 Find the second derivative of 53*n*q**2 - 2*n*q - n + 16*q**2 - 27*q wrt q. 106*n + 32 Find the second derivative of -c**3 - 2*c**2*s**2*z - 119*c**2*s*w**2 - 3*c*s**2*w - c*s*w**2*z + 9*c*w + 4*s**2 wrt c. -6*c - 4*s**2*z - 238*s*w**2 Find the second derivative of 3*g*n**2*u - 5*g*n**2 + g*n - n**2*u - 6*n*u + 4*u wrt n. 6*g*u - 10*g - 2*u What is the second derivative of 2*f*h**2*i*n - 2*f*h**2*i - 252*f*i**3*n - 199*f*i + 3*f*n + 25*h**2*i**2 - h**2*i*n + 2*h**2*n - i**2 wrt i? -1512*f*i*n + 50*h**2 - 2 Find the first derivative of d**3 + 14*d**2*p + 2*d*w**2 - 12*p + w**2 - 2 wrt d. 3*d**2 + 28*d*p + 2*w**2 Find the second derivative of 7*m**2*x + 7*m**2 + m*x - 180*m - 2*x wrt m. 14*x + 14 Find the first derivative of 208*b**4 + 146. 832*b**3 What is the derivative of -2*b**4 + 47*b**2 + b*j + 225*j wrt b? -8*b**3 + 94*b + j Differentiate 293*k**2 + 1790. 586*k Find the second derivative of 293*f**2*l*t + 5*f*l*t + 6*l wrt f. 586*l*t Find the second derivative of -2*q**5 + 240*q**3 + 362*q wrt q. -40*q**3 + 1440*q Differentiate -1064*b**3 + 493. -3192*b**2 What is the derivative of 2*j**4*k - 2*j**2*k**3 - 24*j*k**2 + 5*k**3 - 16*k wrt j? 8*j**3*k - 4*j*k**3 - 24*k**2 Find the third derivative of -45*h**6*x + 3*h**5*x**2 - 2*h**2*x**2 + 2*h**2*x + 77*h wrt h. -5400*h**3*x + 180*h**2*x**2 Find the second derivative of 26*g**3 - 6*g**2 + 20*g - 26. 156*g - 12 Find the second derivative of -7717*i**4 + 166*i. -92604*i**2 What is the derivative of 2765*w - 1037 wrt w? 2765 What is the derivative of 3456*c**3 + 674 wrt c? 10368*c**2 Find the third derivative of 15*f**2*h**4 + 143*f**2*h + 11*h**6 + h**2 wrt h. 360*f**2*h + 1320*h**3 What is the third derivative of 22*l**3 + 5*l**2 + 16*l? 132 What is the third derivative of -190*c**3*k**6*m - c**3*k**3*m - 2*c**3*k**2 + 253*c**3*k + c**2*k*m wrt k? -22800*c**3*k**3*m - 6*c**3*m Find the first derivative of -v**4 + 4607*v**2 - 8560. -4*v**3 + 9214*v What is the third derivative of 337*t**6 + 366*t**2? 40440*t**3 Find the third derivative of 1703*d*h**3*p**3 - d*h**3 - d*h**2*p**3 - d*h*p**2 - 16*h**2*p**2 + 2*h*p**2 + p**4 + 13*p wrt p. 10218*d*h**3 - 6*d*h**2 + 24*p Differentiate 7*l**3*v + 17*l**3 - l**2 + 707*v wrt l. 21*l**2*v + 51*l**2 - 2*l What is the second derivative of 8*r**2*t**3 - 17*r**2*t + 54*r*t**3 - 2*r*t**2 wrt r? 16*t**3 - 34*t What is the third derivative of q**4 + 516*q**3 + 9*q**2 - q - 23 wrt q? 24*q + 3096 Differentiate 7662*d**4 + 4211 wrt d. 30648*d**3 What is the third derivative of -2*u**4 + 504*u**3 + 2*u**2 - 7*u + 257? -48*u + 3024 What is the second derivative of 3190*o**4 - 2*o**3 + 3899*o wrt o? 38280*o**2 - 12*o What is the derivative of 218*s**4 - 304? 872*s**3 What is the derivative of 4150*n**2 - 7802? 8300*n What is the derivative of -46*h**2*j**3*k**3 - h**2*j - 549*h*j**3 - 3*j**2*k wrt k? -138*h**2*j**3*k**2 - 3*j**2 What is the derivative of -79*n - 483 wrt n? -79 What is the first derivative of 125*k*z**2 - 36*z**2 wrt k? 125*z**2 What is the third derivative of -f**3*m**2 + 2*f**2*m**2 - 33*m**2 wrt f? -6*m**2 Differentiate -1020*l**2*u + 8009*l**2 + 3*u**3 wrt u. -1020*l**2 + 9*u**2 What is the derivative of 27*k**2*r*x**2 + 1564*k**2*r + 2*k**2 - 4*r*x**2 + 2*x**3 wrt x? 54*k**2*r*x - 8*r*x + 6*x**2 What is the third derivative of -12607*n**4 - 968*n**2 + 6 wrt n? -302568*n What is the second derivative of -9*f**3 - 17*f**2 + 14*f + 39? -54*f - 34 What is the derivative of -928*z**4 - 624 wrt z? -3712*z**3 What is the first derivative of 3*c**4 + 2*c**2*z - 4*c*z + 41*z + 1 wrt c? 12*c**3 + 4*c*z - 4*z Differentiate c*d**2*n**2 + c*d**2 - 108*c*d*n**2 - 2*d**2*n + 2*d - 202*n**2 wrt c. d**2*n**2 + d**2 - 108*d*n**2 Find the third derivative of -244*j**4 + 3*j**3 - 1740*j**2. -5856*j + 18 What is the derivative of -2*j**4 - 753*j**2 + 1284? -8*j**3 - 1506*j What is the first derivative of -1006*c*f**2 - 4*c + 4326*f**2 wrt c? -1006*f**2 - 4 Find the second derivative of -8716*a**2 - 42*a - 49 wrt a. -17432 Differentiate 35*m**4 + 1439 with respect to m. 140*m**3 What is the first derivative of -13*d*s*v**3 - 2*d*s*v - 10*d - 23*s*v**3 - 3*s + v**3 wrt d? -13*s*v**3 - 2*s*v - 10 Find the third derivative of -34*p**2*u**3*w**3 - 3*p**2*u**3*w + 3*p**2*w**3 - 4723*p**2*w**2 - 27*w**3 wrt w. -204*p**2*u**3 + 18*p**2 - 162 What is the first derivative of -977*n**3*u - 38*u wrt n? -2931*n**2*u Find the third derivative of -3*g**4*y**2 + 143*g**3*y**2 - g**3*y - 28*g**2*y**2 + g**2 + 8*y**2 + 4 wrt g. -72*g*y**2 + 858*y**2 - 6*y What is the second derivative of 10*y**5 - 5*y**2 - 2*y + 15 wrt y? 200*y**3 - 10 Find the second derivative of 4506*p**2*u**3 - 12*p*u**3 + 3*p*u**2 + p*u - 15*u**3 wrt p. 9012*u**3 What is the third derivative of -1001*i**4*q**2 - 2*i**3*q**3 - 2241*i**2*q**3 wrt i? -24024*i*q**2 - 12*q**3 Find the first derivative of -5820*k**3 - 1312. -17460*k**2 Find the third derivative of -247*r**3 + 6*r**2 + 2. -1482 What is the second derivative of -459*a**5 - 20*a + 7 wrt a? -9180*a**3 Find the first derivative of 124*q + 272. 124 F
{ "pile_set_name": "DM Mathematics" }
/7*d**3 + 0*d + n. d**2*(d - 3)/7 Let d(m) be the third derivative of 0*m + 137*m**2 + 17/48*m**4 + 0*m**3 - 1/240*m**5 + 0. Determine a so that d(a) = 0. 0, 34 Let r(p) = 8*p**3 + 93*p**2 - 101*p - 13. Let l(t) = 4*t**3 + 46*t**2 - 50*t - 6. Suppose 18*g + 152 = 386. Let d(x) = g*l(x) - 6*r(x). Factor d(o). 4*o*(o - 1)*(o + 11) Let h(a) = -4*a**2 + 689*a + 4282. Let b be h(-6). Factor 0 + 1/4*l**b + 45/4*l**2 - 25/2*l - 3*l**3. l*(l - 5)**2*(l - 2)/4 Let a(u) be the third derivative of -u**5/210 - 233*u**4/84 - 232*u**3/21 - 2618*u**2. Factor a(j). -2*(j + 1)*(j + 232)/7 Suppose -3*l - i = -15, 9*l + 1 = 10*l - i. Let j(y) be the third derivative of 1/40*y**6 + 0 + 0*y + 0*y**l + 0*y**3 + 0*y**5 + 8*y**2. Factor j(g). 3*g**3 Let b = -2161/94 + 4369/188. Factor 7/4*o**4 - 11/4*o + 5/2*o**3 - 5/4 + b*o**5 - 1/2*o**2. (o - 1)*(o + 1)**3*(o + 5)/4 Find y such that 165/4 - 3/8*y**2 + 51/8*y = 0. -5, 22 Find u, given that 1683/2*u**4 + 546*u - 429*u**3 - 54*u**5 - 1377/2*u**2 - 90 = 0. -1, 1/4, 2/3, 15 Let s = 3122 + -3118. Let b(h) be the second derivative of 0 + 13/4*h**5 - h**6 + 35/6*h**s + 5/2*h**3 - 23*h + 0*h**2. Suppose b(r) = 0. Calculate r. -1/2, -1/3, 0, 3 Let h(c) be the second derivative of -c**5/15 + 11*c**4 - 726*c**3 - 109*c**2 + 44*c. Let s(d) be the first derivative of h(d). Factor s(z). -4*(z - 33)**2 Determine o so that 36*o**3 - 2/3*o**2 + 0 - 36*o + 2/3*o**4 = 0. -54, -1, 0, 1 Let p(j) be the second derivative of -j**5/190 - 22*j**4/57 - 41*j**3/57 + 86*j**2/19 + j + 175. Solve p(t) = 0 for t. -43, -2, 1 Let h = 128 + -125. Determine f, given that -12*f**4 + f + 4*f**4 - 6*f**h + 5*f + 0*f**3 - 2 + 10*f**2 = 0. -1, 1/4, 1 Let c(y) be the second derivative of -y**3 + 7/6*y**4 - 22*y + 1/15*y**6 + 4 + 0*y**2 - 1/2*y**5. Factor c(i). 2*i*(i - 3)*(i - 1)**2 Let q(x) be the first derivative of -26/11*x**2 - 37/44*x**4 - 1/66*x**6 - 16/11*x - 2/11*x**5 + 26 - 64/33*x**3. Find b, given that q(b) = 0. -4, -2, -1 Find z, given that 35/4*z**3 - 37/4*z**2 + 9 + 1/4*z**4 - 35/4*z = 0. -36, -1, 1 Let w(m) be the first derivative of -1/2*m**4 - 26 - m - 1/10*m**5 + 3*m**3 - 5*m**2. Let i(c) be the first derivative of w(c). Factor i(r). -2*(r - 1)**2*(r + 5) Let i(x) = -3*x + 106. Let t be i(34). Let w be -4*6/t*4/(-66). Solve 0 - 6/11*c**2 + w*c - 24/11*c**3 - 14/11*c**4 = 0. -1, 0, 2/7 Let x(r) be the second derivative of 841*r**7/294 - 377*r**6/30 - 1031*r**5/20 - 3173*r**4/84 + 272*r**3/21 - 10*r**2/7 + 2929*r + 1. Find t such that x(t) = 0. -1, 2/29, 5 Let a(l) be the second derivative of 2*l - 1/60*l**6 + 1/168*l**7 + 1 + 0*l**2 + 0*l**3 + 1/80*l**5 + 0*l**4. Solve a(n) = 0 for n. 0, 1 Suppose -2*f = f + 4*l + 14, 5*f - 2*l = 20. Factor 3 + 2*o**f + 1 - 8*o**4 - 5 + 7*o**4. -(o - 1)**2*(o + 1)**2 Find g such that 5/2 - 11/2*g - 1/2*g**3 + 7/2*g**2 = 0. 1, 5 Let z(u) = u**2 + 926*u + 12774. Let t be z(-14). Factor -t + 3/2*g**3 - 21/2*g - 3*g**2. 3*(g - 4)*(g + 1)**2/2 Suppose -129*q - 132*q + 4698 = 0. Let f(l) be the second derivative of 0 + q*l - 4*l**3 - 1/3*l**4 - 18*l**2. Factor f(y). -4*(y + 3)**2 Let o(w) be the first derivative of 8/35*w**5 + 0*w - 4/7*w**2 - 8/21*w**3 + 3/14*w**4 + 46 + 1/21*w**6. Solve o(t) = 0 for t. -2, -1, 0, 1 Let r(f) = -67*f**3 - 2*f**2 - 4*f + 1. Let m be r(-2). Factor -24 + 25*g**3 - 5*g**5 + 5*g**4 + 532*g**2 - m*g**2 + 4 - 40*g. -5*(g - 2)**2*(g + 1)**3 Suppose 3*r - a - 14 = 0, -5*a = -5*r + 36 + 4. Suppose -8*v = -r*v - 10. Solve 0*q - 13*q + 5*q + v*q - q**2 = 0. -6, 0 Let w = 12 + -6. Let p(i) be the first derivative of -7*i**4 + 2*i**2 - 8 + w*i**4 + 0*i**4. Factor p(o). -4*o*(o - 1)*(o + 1) Factor -1/2*o - 24864*o**3 + 0 + 445/2*o**2 + 24642*o**4. o*(o - 1)*(222*o - 1)**2/2 Let p(m) be the second derivative of 0*m**3 + 6*m - 4 + 0*m**2 - 3/4*m**5 + 5/6*m**4. Let p(y) = 0. What is y? 0, 2/3 Suppose -198/5 + 3/5*s**2 - 57/5*s = 0. What is s? -3, 22 Let a be -10*(14 - (17 - 7)). Let z = a + 42. Let -1/2*w**z + 0 + w = 0. What is w? 0, 2 Let i(f) be the first derivative of -f**5 - 30*f**4 + 1317. Suppose i(u) = 0. Calculate u. -24, 0 Let p(f) be the first derivative of f**3/3 - 39*f**2/2 - 172*f - 883. Factor p(y). (y - 43)*(y + 4) Suppose -2/7*j**5 - 74/7*j**4 - 156/7*j + 74/7*j**2 + 158/7*j**3 + 0 = 0. Calculate j. -39, -1, 0, 1, 2 Let l(c) = -31*c - 459. Let k be l(-15). Let y(s) be the first derivative of 3/4*s**4 - 1/10*s**k + 0*s**2 + 0*s + 3/5*s**3 + 3/25*s**5 - 10. Factor y(b). -3*b**2*(b - 3)*(b + 1)**2/5 Factor 4/9*j**4 + 0 - 199/9*j**3 + 0*j - 50/9*j**2. j**2*(j - 50)*(4*j + 1)/9 Let t be -6*(69/(-90) + 188/705). Factor 2/5*u + 0 + 2/5*u**t + 4/5*u**2. 2*u*(u + 1)**2/5 Let s(p) be the second derivative of p**7/4620 - p**6/396 - p**5/110 - 125*p**3/6 + 32*p. Let g(q) be the second derivative of s(q). What is k in g(k) = 0? -1, 0, 6 Suppose 0 = o + 3*y - 903, -5*y = -5*o + 6*o - 893. Factor -b**2 - 46 - o - 803 - 90*b - 106 - 152. -(b + 45)**2 Let x(i) be the second derivative of 161*i + 0 - 1/4*i**4 + 3/2*i**2 - 1/24*i**3 + 1/80*i**5. Factor x(w). (w - 12)*(w - 1)*(w + 1)/4 Let q(b) = -b**2 - 28*b - 177. Let d be q(-21). Let a be (-77)/(-21) - 10/d. Factor 16/3*o**2 + 0*o + 0 - 50/3*o**5 + 140/3*o**a - 88/3*o**3. -2*o**2*(o - 2)*(5*o - 2)**2/3 Suppose -7*r + 9*r = 4. Suppose 425*o - 1405 = 420*o. Factor -o*u + 20 - 92*u**2 + 21*u - 26*u**r + 963*u**2. 5*(13*u - 2)**2 Let m(t) = 7*t**4 + 21*t**3 + 48*t**2 - 14*t - 282. Let j(h) = h**4 + h**3 - h**2 + 3*h + 1. Let v(r) = 6*j(r) - m(r). Factor v(q). -(q - 2)*(q + 4)**2*(q + 9) Find j such that -536/9*j**2 + 0 + 10/9*j**3 - 24*j = 0. -2/5, 0, 54 Let j(q) be the first derivative of q**7/420 + 11*q**6/180 - 13*q**5/30 + 13*q**3 - 2*q - 199. Let p(a) be the third derivative of j(a). Factor p(o). 2*o*(o - 2)*(o + 13) Suppose -369 - 206 = -499*w + 423. Factor 56/3*z**3 - 100/3*z + 2*z**4 + 0 + 110/3*z**w. 2*z*(z + 5)**2*(3*z - 2)/3 Let j(y) = -y**5 - 2*y**4 + 19*y**2 + y. Let l(a) = 3*a**5 - 150*a**4 + 604*a**3 - 638*a**2 - 2*a. Let o(i) = -6*j(i) - 3*l(i). Suppose o(g) = 0. What is g? 0, 2, 150 Suppose 0 = -b + 2*p - 28, 3*p = -5*b + 44 - 197. Let s = -28 - b. Suppose 3*z**2 + 2*z**2 - 3*z - 3*z**s - 5*z + 8 = 0. What is z? 2 Let n = 57 + -52. Let m(c) = -10*c**4 + 10*c**3 + 5*c**2. Let o(d) = -d**4 - d**3 + d**2. Let r(s) = n*o(s) - m(s). Let r(v) = 0. What is v? 0, 3 Let o be 2/7 + 1192/140. Let g = 235273/588220 + 3/117644. Find a, given that -o*a - g*a**2 - 242/5 = 0. -11 Suppose -2196*m = -2208*m + 24. Let y(o) be the first derivative of -4/3*o**3 + 9 + 0*o + m*o**2. Suppose y(j) = 0. Calculate j. 0, 1 Let z be (-5 + (-216)/(-44))/((-99)/363). Suppose -1/3*t**3 - z*t + 2 - 4/3*t**2 = 0. Calculate t. -3, -2, 1 Let i be (4/3)/((-28)/(-63)). What is o in 49*o**3 - 36*o**5 + 26*o**i - 35*o**4 - 343*o + 339*o = 0? -2, -2/9, 0, 1/4, 1 Let v(z) be the first derivative of z**6/3060 - z**5/170 + 2*z**4/51 - 308*z**3/3 + 236. Let m(o) be the third derivative of v(o). Factor m(r). 2*(r - 4)*(r - 2)/17 Let p = 798 + -791. Let s(x) = -2*x**3 + 14*x**2 + 8*x - 54. Let v be s(p). Let -4/5 + 6/5*g + 2/5*g**v - 6/5*g**3 + 2/5*g**4 = 0. What is g? -1, 1, 2 Let l(x) = -179*x - 47. Let f be l(-12). Let h = -14683/7 + f. Solve 21*y**3 - 42*y**2 - 12/7*y + h = 0 for y. -2/7, 2/7, 2 Let j(t) = -3*t**3 + 14*t**2 - 5*t - 14. Let z(o) = 4*o**3 - 16*o**2 + 4*o + 12. Let l(h) = -3*j(h) - 2*z(h). Let l(a) = 0. Calculate a. -1, 2, 9 Let h(d) be the first derivative of d**4/8 - 41*d**3/6 + 79*d**2/4 - 39*d/2 + 6672. Factor h(p). (p - 39)*(p - 1)**2/2 Factor -15/2*k**2 + 0 - 1/6*k**3 + 0*k. -k**2*(k + 45)/6 Factor -99*k**2 - 3*k**3 - 2585*k - 378*k**2 + 5535*k - 2470*k. -3*k*(k - 1)*(k + 160) Suppose -113*g + 450 = -23*g. Factor 3/2*j**2 - 2 + g*j + 5/4*j**4 - 17/4*j**3. (j - 2)**2*(j + 1)*(5*j - 2)/4 Factor 154/9 - 2/9*p**3 - 190/9*p + 38/9*p**2. -2*(p - 11)*(p - 7)*(p - 1)/9 Suppose 5*h = 5*k - 35, 4*h - 15 = -4*k - 19. Let p(o) be the second derivative of 0 + 0*o**k - 1/3*o**4 + 2*o**2 + 4*o. Determine v so that p(v) = 0. -1, 1 Suppose -7607*f + 90*f**3 - 35*f**4 + 34*f**5 - 100*f**2 - 29*f**5 + 7647*f = 0. What is f? 0, 1, 2 Let u(s) be the second derivative of -s**7/280 + 11*s**6/40 - 49*s**3/3 - 2*s - 24. Let o(p) be the second derivative of u(p). Suppose o(w)
{ "pile_set_name": "DM Mathematics" }
+ 3*l. What is the lowest common multiple of 8 and l? 8 Find the common denominator of 17/2 and (-4)/14 - 1983/336. 16 Suppose 5*b - 3*p = p + 22, -4*p - 12 = 0. Suppose -w - 2*m - b = 0, 5*w - 3*m + 0 = 16. Suppose n + w*n = 30. What is the least common multiple of n and 22? 110 Suppose 2*f + 9 = -f. What is the common denominator of (64/76)/((-2)/f) and -95/2? 38 Find the common denominator of 18/27 + (-58)/48 and 87/2. 24 Suppose v - 7 - 3 = -5*w, -5*w + 50 = -3*v. Let l(y) = 7 + 14 - 13*y + 14*y. What is the smallest common multiple of 10 and l(v)? 110 Let k be (-1)/(((-15)/36)/5). Suppose -12*q + k = -9*q. Suppose -2*o + 10 = -o. Calculate the lowest common multiple of o and q. 20 Suppose 9 = -2*w + 5*w. Suppose -24 = -11*p + 6*p - 3*i, -5*p - 4*i + 22 = 0. Calculate the smallest common multiple of w and p. 6 Suppose 5*d = -5 + 15. Suppose 0 = j + d - 4. Calculate the common denominator of (-57)/(-6) - j/(-2) and 49/16. 16 Calculate the common denominator of -62/5 and (23/8)/((-2)/(-2)). 40 Suppose 2*b + 94 = 4*c, 0*b - b = -5*c + 113. Calculate the lowest common multiple of c and 16. 176 Calculate the common denominator of ((-12)/168)/(2/(-220)) and 19/9. 63 Let a = -5 + 2. Let i(y) = y**3 + 5*y**2 + 3*y - 1. Let h be i(a). Suppose h = 2*x, 5*v + 5*x = 35 - 10. What is the lowest common multiple of v and 1? 1 Let t = -570/11 - -52. What is the common denominator of 358/(-42) + 10/15 and t? 77 Suppose -2*o - 10 = -0*o. Let b = -3 - o. What is the lowest common multiple of 20 and b? 20 Calculate the common denominator of (-4 + (-28)/(-6))/(5 + -2) and -3/10. 90 Suppose 4*a + r = 2 - 7, 5*a - 3*r = -2. Calculate the common denominator of (-6)/8 - (-402)/(-56) and a/(16/122) - 2. 56 Find the common denominator of 36/9 - 158/84 and 29/2. 42 Let r be 301506/(-301430) + (0 - -1). Let q = 464358691/22908680 + r. Let t = q - 188/19. What is the common denominator of 34/7 and t? 56 Let d = -1/168 + -8311/840. Find the common denominator of ((-10)/(-36))/(1/(-57)) and d. 30 Let l be (10/25)/(2/10). Let q be (-2 + 0)*l/4. What is the smallest common multiple of 22 and 2 + q/((-3)/54)? 220 Suppose 5*r - v - 416 = 2*v, -5*r + 2*v + 414 = 0. What is the lowest common multiple of r and 2? 82 Let q(b) = 3*b - 3. Let y be q(11). What is the common denominator of 47/10 and 33*(-1 + 33/y)? 10 Suppose 0 = 5*l + 10 + 140. Find the common denominator of 342/l - (-1 + -1) and (-68)/(-6)*(-6)/32. 40 Suppose -3*h = -u - 28, -h = 3*u - 6*h + 76. Let o = -13 - u. Calculate the lowest common multiple of o and 6/21 + 24/14. 18 Let z = 12 - 5. Let h(x) = -x**3 + 9*x**2 - 9*x - 9. Let u be h(z). Suppose -j - 11 = u. Find the common denominator of j and -2/11. 11 Let h(j) = -j**3 + 8. Calculate the least common multiple of 9 and h(0). 72 Let f = 2188 - 39497/18. What is the common denominator of (26/(-8) + 0)/2 and f? 72 Suppose 0 = 3*w - 627 + 93. Let t = w + -563. Calculate the common denominator of 1 + -2 + t/10 and -49/16. 16 Let c be 1/8 - 637/104. Let v be (2*1)/(1/2). Calculate the common denominator of 10/c*44/v and -9/7. 21 Let x(o) = o - 1. Let c be x(5). What is the common denominator of c/14 - (-3135)/126 and 79/16? 48 Let o = -72 - -104. What is the lowest common multiple of o and 32? 32 Let d = -12 + 24. Calculate the common denominator of 34/d - 4/(-6) and 58/9. 18 Let j(z) = 523630*z**2 - z + 1. Let f be j(1). Let a be (-4)/80*f/(-4). Let q = 6533 - a. Calculate the common denominator of 53/7 and q. 56 Let x = 10 + -9. Calculate the lowest common multiple of 15 and x. 15 Let y = -153871/20 - -7699. What is the common denominator of 121/50 and y? 100 Calculate the least common multiple of ((-1998)/(-24))/9 - 1/4 and 9. 9 Let o(p) = p + 5. Suppose 0*n = -5*n + 50. What is the least common multiple of o(6) and n? 110 Calculate the common denominator of 73/16 and 1 + (2178/(-40))/9. 80 Find the common denominator of 2/8 + 95/80 and -99/8. 16 Let d = 46 + -140. Let l = -51 - d. Suppose -37 = -4*v + l. Calculate the least common multiple of 18 and v. 180 Suppose 5*b - 4*b + 4 = 0. Let f = -119 + -71. Calculate the common denominator of 57/4 and (b/(-32))/((-1)/f). 4 Suppose -2*y + y + 3*z = -2, 2*z = -2*y + 4. Let h be (-86)/(-10) + 2/5. Let j = h + -6. What is the least common multiple of j and y? 6 Suppose -7*x - 4 = -8*x. What is the smallest common multiple of x and 4? 4 Let z be 3/(-2)*537/(-1). Let c = 821 - z. Let s = -14/285 + 3377/285. Find the common denominator of s and c. 10 Calculate the common denominator of 87/4 and 5/(-3)*27/(-99). 44 What is the smallest common multiple of 2 and (-1 + 1/5)/((-9)/90)? 8 Suppose 4*g - 4*r = 4, -2*g = -3*r - 0*r - 1. Suppose 3*m = -2*m + 5. What is the least common multiple of g and m? 2 Let q = -2392/341 + 116/31. Find the common denominator of q and 54/13. 143 Calculate the common denominator of -65/12 and 126/(-60)*(-65)/12. 24 Let u = -129/53 + -4303/954. Calculate the common denominator of 63/80 and u. 720 Suppose -3*h - 4*u = 86, 3*h + 5*u - 2*u + 84 = 0. Let y = 109/3 + -27. Find the common denominator of y and (-2)/(((-72)/h)/2). 9 Let u(p) = 16*p + 10. Let v be u(8). Calculate the common denominator of 1/(-32)*1*v and 47/20. 80 Let s = 3948 + -23591/6. Find the common denominator of 143/6 and s. 6 Suppose 0 = 27*h + 12*h - 156. Suppose 6 = 2*y + 4*g, 4*y - 77 + 17 = 4*g. What is the lowest common multiple of h and y? 44 Let g = 2/3393 - -46357/23751. Calculate the common denominator of g and -67/8. 168 Let l(c) = -2*c + 3 + 3*c + c - c. What is the least common multiple of 11 and l(0)? 33 Suppose -82 - 116 = -6*c. Calculate the lowest common multiple of 27 and c. 297 Let p = -38207/22 - -1738. What is the common denominator of -121/36 and p? 396 Let k(p) = 2*p**2 - 4*p - 4. What is the smallest common multiple of 3 and k(4)? 12 Let i = -1 - -2. Let a(m) = 8*m**2 + 2*m - 1. What is the smallest common multiple of a(i) and 2? 18 Let y = -3/128 - -147/128. Find the common denominator of 49/10 and y. 40 Let b = -1125 - -8931/8. Calculate the common denominator of b and 34/11. 88 Find the common denominator of -87/10 and 153/(-30) + 3 - -2. 10 Let g(w) = -w - 8. Let r be g(-7). Find the common denominator of r - ((-255)/54)/1 and (258/27)/(8/(-6)). 18 Let r(q) = -9*q**2 - 3*q - 2. Let z be r(-7). Let o = z + 598. Find the common denominator of -15/7 and (-1)/4 + (-84)/o. 77 Let h be 0/(4 - (0 - -2)). Suppose -5*w + 2*v + 64 = -w, 3*w - 3*v - 48 = h. Calculate the least common multiple of 2/(1/3*3) and w. 16 Let o = 2 + -2. Suppose o = h + 2 - 4. What is the common denominator of -63/8 and -3 - -2 - (h + 15)? 8 Suppose -1 - 3 = n. Let a be (-93482)/(-11)*n/16. Let v = -2122 - a. What is the common denominator of 101/6 and v? 66 Let t(l) = -l**3 + 6*l**2 - 6*l + 7. Suppose -9 = -x - 2*x. Suppose -2 = -i + n, x*n - 34 = i - 6*i. What is the smallest common multiple of 16 and t(i)? 16 Let l = 112339/18896 + -9/1181. Calculate the common denominator of l and 97/18. 144 Suppose -3*w + 5*s = -9 + 151, 4*w = -5*s - 236. Calculate the common denominator of 87/8 and 0 + 0 - w/21. 56 Let h = 58/15 - 529/45. Calculate the common denominator of h and -58/9. 9 Suppose 121 = -5*b - 104. Find the common denominator of ((-2)/4)/(b/(-685)) and (-11)/(-2)*14/(-4). 36 Let i = 3947 - 43452/11. Calculate the common denominator of i and -33/7. 77 Let x(h) be the second derivative of h**4/12 + h**2/2 + h. Let r be x(-3). Find the common denominator of 2/r + 93/30 and 33/10. 10 Let y(x) = x**2 + 2*x + 3. Let l be y(3). Suppose -4*k + k + l = -4*f, f + 3 = 0. Suppose -2 = -k*m - 0. What is the smallest common multiple of m and 8? 8 Let k(g) = g - 1. Let l be k(6). Suppose 5 = 2*b + 3, 18 = l*q + 3*b. What is the lowest common multiple of q and 1? 3 Let u(r) = -r + 3. Let q be u(3). Suppose -m + q*m = -20. Suppose x + 3*c + 1 - m = 0, -5 = x - 3*c. Calculate the lowest common multiple of x and 9. 63 Let p = 1/457 + 1819/4113. Find the common denominator of p and 97/2. 18 Suppose -9 = -6*f + 3*f. Find the common denominator of f/(-4) - 9/(-60) and -8/3. 15 Let o = 3 - 3. Calculate the least common multiple of 14 and o + 6/(-2) + 7. 28 Let l(s) = s**2 - 6*s + 2. Let k be l(4). Let i = -4/469 - -8013/4690. Find the common denominato
{ "pile_set_name": "DM Mathematics" }
7.2 not equal to 0.1? True Is -2672 smaller than -2672? False Is -1 bigger than 9/3290? False Which is bigger: -10 or 6? 6 Does 129 = 0.07? False Which is smaller: -2/7 or -4/29? -2/7 Is -161 bigger than 35? False Is 1 at most 49/5? True Is 943/16 smaller than 60? True Are 4 and 78/25 non-equal? True Is 2 at least -4/127? True Is 0 at most as big as -1/5343? False Which is greater: 5/2 or -0.04? 5/2 Which is smaller: 453/2 or 226? 226 Are -2415 and -2415 equal? True Is -3/14134 less than or equal to -1? False Which is bigger: -1326 or -3976/3? -3976/3 Which is smaller: 31.4 or 2/7? 2/7 Is -0.2051 smaller than -0.1? True Is 5639 < 5639? False Are 0.14 and 325 unequal? True Which is smaller: 190 or 191? 190 Which is greater: 32284 or 32283? 32284 Is 5 at least as big as 18? False Is -404/43 at least as big as -9? False Is 801 < 5598/7? False Which is smaller: -17/3 or -6? -6 Is -1837 smaller than -1838? False Are -0.1503 and -1/6 equal? False Is 0.01 equal to -23.06? False Is 291 > 291? False Which is smaller: -11 or -142/13? -11 Are -1 and -2/43 nonequal? True Which is smaller: -5/992 or 0? -5/992 Which is greater: 1 or -17/90? 1 Are -1/16819 and 1 non-equal? True Which is bigger: 40 or 2.4? 40 Is -5/824 < -1? False Are 0 and -11.7 unequal? True Which is smaller: -2/771 or 0? -2/771 Which is bigger: 6/739 or 0? 6/739 Are 61 and 49 non-equal? True Which is greater: 3 or 58? 58 Does -1.26 = -2? False Is -1 at most as big as 1560? True Which is bigger: -113 or -104? -104 Is -841 bigger than -843? True Which is smaller: 177 or 176? 176 Which is smaller: 30 or -27? -27 Is -378 >= -380? True Which is smaller: -5144 or -5143? -5144 Is 3092 not equal to 9280/3? True Which is bigger: -34 or -19? -19 Which is greater: -24 or -145/6? -24 Which is greater: 0 or -8? 0 Are 1 and -1/433 unequal? True Which is greater: 65 or 129/2? 65 Is -4 smaller than -0.193? True Which is smaller: 15 or 4? 4 Which is greater: 1165/3 or 389? 389 Which is bigger: 1/7139 or 1? 1 Is -278 greater than -279? True Which is bigger: 0 or -10262/5? 0 Are 2/5 and 434 equal? False Which is bigger: -55 or -41? -41 Is -0.096 <= -16? False Is -12332 > -12332? False Which is greater: -3/3796 or 0? 0 Is -14 < -138/11? True Which is greater: -297 or 8? 8 Is 37 greater than or equal to 36? True Are 120 and 1082/9 equal? False Which is bigger: -4219 or -12655/3? -12655/3 Do -9 and 0.4 have the same value? False Which is greater: 0 or -180? 0 Which is bigger: 61 or 10? 61 Which is greater: -53 or -62? -53 Which is greater: 2/117 or 0? 2/117 Is -395/7 smaller than -55? True Which is smaller: 11886 or 11883? 11883 Which is smaller: 0 or -345? -345 Is -307 smaller than -307? False Is -1/2777 >= 3? False Is 368 greater than 369? False Is 183 at most 1287/7? True Are 27 and 2 nonequal? True Do 5 and 113/28 have the same value? False Is 76.2 smaller than -1? False Are 0 and 15/46 non-equal? True Is -0.1 at most as big as 2506? True Is -276 at least -238? False Which is greater: -1/107835 or 0? 0 Is -8/21 at most as big as 1? True Is 108/1205 bigger than 1? False Which is smaller: -0.05 or -7? -7 Is -243 less than or equal to -245? False Which is smaller: -22/239 or 0? -22/239 Which is smaller: -202 or -200? -202 Which is bigger: 346 or 342? 346 Is -90 greater than -91? True Is 449 less than 2243/5? False Which is smaller: 1 or -2/23? -2/23 Is 7/6 <= 13? True Which is greater: -4 or 33? 33 Which is smaller: -46 or -4? -46 Are 2554/11 and 232 unequal? True Which is greater: 2828/5 or 567? 567 Which is smaller: -110 or -111? -111 Does 50/9 = 7? False Which is smaller: -18 or -125/7? -18 Which is smaller: 1 or -454/3? -454/3 Which is smaller: -1 or 2/901? -1 Which is smaller: 1 or -75? -75 Do -16535 and -16535 have different values? False Are 783 and -1/5 nonequal? True Are -2/3 and -2 equal? False Which is greater: 355 or 354? 355 Which is smaller: 238 or 201? 201 Which is smaller: 5 or -89? -89 Does -1 = -8/2707? False Is 13 less than or equal to 10? False Are 1888 and 1889 non-equal? True Is 1 < 1/1102? False Which is greater: -0.489 or -0.01? -0.01 Is -61 at least as big as -5? False Which is bigger: -455 or -453? -453 Which is smaller: 81/47 or 3? 81/47 Is 136 < 136? False Which is greater: -877/16 or -56? -877/16 Which is smaller: 313/52 or 6? 6 Is 1/13 equal to -0.971? False Do 0 and -50/161 have the same value? False Is -7/834 greater than or equal to 0? False Which is bigger: -0.05 or -471? -0.05 Is -588 at most -587? True Which is greater: 133 or 134? 134 Which is smaller: 20 or 25? 20 Which is greater: 21/200 or 1? 1 Is -0.2 equal to 970? False Is -10 less than -43? False Which is smaller: -0.4 or 59/14? -0.4 Which is smaller: -18 or -8? -18 Is -7 at least 18? False Which is smaller: -203 or -205? -205 Is 39 greater than -5? True Is -6 != -21? True Which is smaller: 91 or 89? 89 Is 122/5 smaller than 1/5? False Are 4414/5 and 882 equal? False Which is greater: 0.1 or 521? 521 Which is greater: -6.7 or 13? 13 Which is greater: 0 or 1/361? 1/361 Is 1.031 smaller than 9? True Is 0 >= -1/63? True Are 9557 and 9556 unequal? True Is 42 greater than or equal to 35? True Which is smaller: 4 or 57? 4 Which is smaller: -2/2305 or 1? -2/2305 Is -270 greater than or equal to -283? True Are 388 and 387 equal? False Which is bigger: -1 or -1/350? -1/350 Is -28/23 less than or equal to -2? False Which is bigger: 0.0478 or -2/15? 0.0478 Which is greater: -2469/16 or -153? -153 Is 56 at most as big as 55? False Which is greater: 3544 or 3552? 3552 Is -1 not equal to 1/1185? True Does 0 = -2/1061? False Which is smaller: -30/17 or -3? -3 Is -8 < -3/274? True Which is smaller: -45 or -49? -49 Which is smaller: -0.1 or -28/29? -28/29 Is -4 greater than 3? False Which is greater: 0 or -38? 0 Which is greater: -4765 or -1/2? -1/2 Which is smaller: -415 or -412? -415 Which is greater: -15 or 0.9? 0.9 Which is smaller: 945 or 0? 0 Which is greater: -309 or -312? -309 Which is smaller: 174 or 170? 170 Does -385 = 2/5? False Is -11896 < -11898? False Which is bigger: 739 or 741? 741 Do 3/527 and -1 have the same value? False Is 2.29 less than -42? False Which is smaller: 378 or 379? 378 Is 2/987 less than or equal to 0? False Which is smaller: 1 or 1/2436? 1/2436 Does -58 = -625/11? False Which is smaller: -20 or 2? -20 Do 55 and 131 have the same value? False Which is bigger: -183 or -5? -5 Which is smaller: 0 or -2/31? -2/31 Which is smaller: 9686 or 9687? 9686 Which is bigger: 92 or 33? 92 Which is bigger: 5615 or 5614? 5615 Which is greater: -5/18 or -2/9? -2/9 Which is smaller: -1465/33 or -44? -1465/33 Which is greater: -57/4 or -15? -57/4 Is 436 at least as big as 1/16? True Is 6 at least as big as 42.8? False Is -29 at least -19? False Is 0.2 < -811? False Is -583 != -4076/7? True Is 101 greater than or equal to 104? False Is 120 at least 364/3? False Is -143 equal to -0.1? False Which is smaller: 0.37 or 6? 0.37 Are -406 and -811/2 nonequal? True Which is smaller: 799 or 1595/2? 1595/2 Which is greater: 1 or -545? 1 Is -6 equal to 8? False Which is greater: 4 or 42/13? 4 Are 27 and -4 non-equal? True Which is greater: 223 or 224? 224 Is -0.8 bigger than 74? False Is 1/782 equal to 1? False Which is bigger: 1241 or 1243? 1243 Is 1 bigger than -1/1471? True Which is smaller: -1 or -16/311? -1 Is 0 at least 13/17? False Which is bigger: 8125 or 8124? 8125 Are -87 and -90 nonequal? True Which is smaller: -174 or -3291/19? -174 Which is bigger: 150 or 0? 150 Do -3/985 and 1 have the same value? False Is -19 less than or equal to -40? False Which is greater: -1543/7 or -220? -220 Is 8/7 bigger than 0? True Is -156/5 smaller than -30? True Is -302 at least as big as -300? False Which is smaller: -15 or -19? -19 Which is greater: -2569 or -2568? -2568 Is -108 less than -106? True Do 55 and 62 have different values? True Which is smaller: 155/87 or 1? 1 Is 9 less than or equal to 17? True Which is bigger: 13 or 6? 13 Is 201.9 > -2? True Which is smaller: -8 or -24? -24 Is -0.3 >= -462? True Which is greater: 52657/2 or 26330? 26330 Which is smaller: 1 or 2/36035? 2/36035 Do 1 and 3/13 have the same value? False Which is smaller: -3627 or -3629? -3629 Does -86 = -70? False Which is greater: 345 or 3810/11? 3810/11
{ "pile_set_name": "DM Mathematics" }
0.000000000000820161 What is 29/2 of a millimeter in micrometers? 14500 How many millennia are there in 265900.26 months? 22.158355 How many tonnes are there in 0.314507kg? 0.000314507 What is 8739.635ml in litres? 8.739635 How many millilitres are there in one fifth of a litre? 200 Convert 0.19973g to nanograms. 199730000 What is 562478.9cm in millimeters? 5624789 What is 0.9855167l in millilitres? 985.5167 How many nanograms are there in 2/125 of a milligram? 16000 What is 7109.308 centuries in decades? 71093.08 What is 1511.230959ms in weeks? 0.0000024987284375 How many microseconds are there in 8/25 of a millisecond? 320 Convert 77774.67 micrometers to meters. 0.07777467 How many centimeters are there in 635.982 millimeters? 63.5982 How many meters are there in 6/25 of a kilometer? 240 What is 436.8721 micrometers in millimeters? 0.4368721 What is 35352.5 kilometers in millimeters? 35352500000 Convert 0.8636099ml to litres. 0.0008636099 How many millilitres are there in 8/25 of a litre? 320 How many years are there in 1/10 of a decade? 1 Convert 6004.646 millennia to months. 72055752 How many litres are there in 0.0994586ml? 0.0000994586 Convert 0.9232535 litres to millilitres. 923.2535 What is 59/4 of a millennium in years? 14750 What is 45304.85l in millilitres? 45304850 How many millimeters are there in twenty-one halves of a centimeter? 105 What is one twentieth of a microsecond in nanoseconds? 50 What is 2.362592mm in micrometers? 2362.592 Convert 0.2625105 decades to centuries. 0.02625105 What is 2129.805 meters in micrometers? 2129805000 Convert 675027.5 decades to millennia. 6750.275 How many milliseconds are there in sixteen fifteenths of a minute? 64000 What is 126552.12 months in millennia? 10.54601 What is 3/8 of a millimeter in micrometers? 375 How many meters are there in 92249.41 millimeters? 92.24941 What is eleven halves of a meter in millimeters? 5500 How many millilitres are there in 38.30364 litres? 38303.64 What is 45/8 of a gram in milligrams? 5625 How many months are there in 15/4 of a millennium? 45000 How many millilitres are there in 1/4 of a litre? 250 How many hours are there in 1/6 of a week? 28 How many centimeters are there in 84581.56um? 8.458156 How many centimeters are there in 51762.91m? 5176291 How many years are there in 15/4 of a millennium? 3750 What is 398.077cm in meters? 3.98077 What is 7.668647mm in kilometers? 0.000007668647 How many litres are there in 116.9594ml? 0.1169594 Convert 95277.08 millennia to years. 95277080 How many seconds are there in two fifteenths of a minute? 8 How many millilitres are there in 22412.13l? 22412130 How many litres are there in 85322.1ml? 85.3221 What is 37/2 of a litre in millilitres? 18500 Convert 0.0588899 years to centuries. 0.000588899 What is one twentieth of a day in minutes? 72 What is fifteen quarters of a tonne in kilograms? 3750 What is thirteen fifths of a kilogram in grams? 2600 How many milligrams are there in one twentieth of a gram? 50 How many seconds are there in five eighths of a hour? 2250 How many months are there in seven eighths of a decade? 105 What is 815417.9 centuries in millennia? 81541.79 How many meters are there in 6/25 of a kilometer? 240 How many seconds are there in twenty-seven fifths of a minute? 324 How many hours are there in 8636.0778 milliseconds? 0.0023989105 How many grams are there in 712.091ug? 0.000712091 How many micrograms are there in 5.0093mg? 5009.3 What is 3/25 of a microgram in nanograms? 120 How many micrometers are there in 0.1912046 nanometers? 0.0001912046 How many millilitres are there in 99994.44l? 99994440 How many seconds are there in 22/15 of a hour? 5280 What is seventy-three quarters of a milligram in micrograms? 18250 What is three tenths of a millennium in months? 3600 How many millilitres are there in 48/5 of a litre? 9600 What is 1.859717 years in months? 22.316604 What is 8/3 of a week in minutes? 26880 What is six fifths of a litre in millilitres? 1200 What is three tenths of a minute in milliseconds? 18000 Convert 697.4848 kilometers to meters. 697484.8 What is 1.979431km in millimeters? 1979431 What is fourty-three quarters of a meter in centimeters? 1075 How many seconds are there in fourty-nine quarters of a minute? 735 What is thirty-three tenths of a centimeter in millimeters? 33 What is thirty-three fifths of a second in milliseconds? 6600 How many millilitres are there in 35.75394 litres? 35753.94 Convert 24.13284um to nanometers. 24132.84 How many millilitres are there in sixty-one quarters of a litre? 15250 How many micrograms are there in nineteen quarters of a milligram? 4750 How many months are there in 14.09147 centuries? 16909.764 What is 1/15 of a decade in months? 8 What is 5/4 of a litre in millilitres? 1250 What is 0.8002306 centuries in decades? 8.002306 What is four sevenths of a week in days? 4 How many millimeters are there in 31/2 of a meter? 15500 How many millennia are there in 0.6195888 centuries? 0.06195888 How many kilometers are there in 2.046489cm? 0.00002046489 How many micrograms are there in 81.02359 grams? 81023590 What is 3160.036 minutes in milliseconds? 189602160 How many kilograms are there in 44/5 of a tonne? 8800 How many millilitres are there in 3/5 of a litre? 600 What is 5497.016 decades in centuries? 549.7016 Convert 0.1484474 milligrams to nanograms. 148447.4 How many litres are there in 8.125 millilitres? 0.008125 How many seconds are there in 1/24 of a hour? 150 What is 0.3822007l in millilitres? 382.2007 Convert 33112.89ml to litres. 33.11289 How many milligrams are there in twenty-seven quarters of a gram? 6750 How many millimeters are there in 0.7408847 meters? 740.8847 How many grams are there in 6/5 of a kilogram? 1200 What is 19.223418 months in centuries? 0.016019515 Convert 900.4903 centuries to millennia. 90.04903 Convert 355302.9ml to litres. 355.3029 How many seconds are there in 3/5 of a minute? 36 How many litres are there in 8877.339ml? 8.877339 Convert 886595.976us to weeks. 0.0000014659325 Convert 3847.889t to grams. 3847889000 How many millilitres are there in 27/2 of a litre? 13500 How many minutes are there in 13/5 of a week? 26208 How many millilitres are there in 16.29243 litres? 16292.43 How many hours are there in 10/3 of a week? 560 Convert 880976.7 millilitres to litres. 880.9767 What is 27/2 of a litre in millilitres? 13500 How many decades are there in 7/2 of a century? 35 How many decades are there in 7.834183 millennia? 783.4183 What is 47/4 of a microgram in nanograms? 11750 What is three eighths of a week in hours? 63 What is sixty-nine halves of a millisecond in microseconds? 34500 How many years are there in 0.7560057 millennia? 756.0057 How many micrograms are there in 8424.908 tonnes? 8424908000000000 Convert 11489.71 millennia to centuries. 114897.1 How many years are there in thirty-two fifths of a century? 640 What is fifty-nine fifths of a litre in millilitres? 11800 How many litres are there in 0.2928734 millilitres? 0.0002928734 How many years are there in 37/5 of a decade? 74 What is 1.6537593 months in millennia? 0.000137813275 How many centimeters are there in fourty-three quarters of a meter? 1075 What is 21/4 of a millennium in years? 5250 Convert 6110.923ml to litres. 6.110923 How many centimeters are there in fifty-one halves of a meter? 2550 How many nanograms are there in 7/4 of a microgram? 1750 How many months are there in 5/8 of a century? 750 How many grams are there in 28.36954 tonnes? 28369540 What is seventeen quarters of a hour in seconds? 15300 What is 51/4 of a day in hours? 306 What is five quarters of a litre in millilitres? 1250 What is 505127.5 days in minutes? 727383600 What is 5/4 of a gram in milligrams? 1250 How many litres are there in 0.8865919ml? 0.0008865919 What is 35546.02 years in millennia? 35.54602 What is 0.0652441km in centimeters? 6524.41 How many grams are there in seventy-four fifths of a kilogram? 14800 What is 224967.2 litres in millilitres? 224967200 What is 3/8 of a millennium in months? 4500 How many millilitres are there in 0.6162193 litres? 616.2193 Convert 281.34198 hours to days. 11.7225825 What is 13/8 of a kilometer in meters? 1625 How many micrometers
{ "pile_set_name": "DM Mathematics" }
-2 + (t/1 - -2). Solve -x = -4*m + a, -2*x - 23 = -0*x - g*m for x. 1 Let t(r) = -27*r**2 - r - 2. Let o be t(-1). Let w = o - -31. Solve 2*q + 5*i - 14 = 0, 5*i - 6 = -w*q + 5*q for q. 2 Suppose 2 = -2*f + 4*f, 0 = 4*t + 4*f - 20. Suppose 2*n = -m - 2*n + t, 3*m + n - 12 = 0. Suppose 8 - 4 = m*c. Solve 2*l + 5*d = -5, l + 0*d + d = -c for l. 0 Let r(s) = s**3 - 11*s**2 - 13*s + 22. Let d be r(12). Suppose d = h + 6. Solve -12 = 4*k + 4*q, 0 = -h*k - q - 4 - 5 for k. -2 Let k(d) = d + 16. Let r be k(-12). Let c be (-6)/(-2) + (-11 + r)/(-7). Solve 5*g = -5*i + 25, -c*i + 10 = -g + 3*g for i. 0 Suppose -3*g - 17 = -3*i - 4*g, 4*i - 5*g + 9 = 0. Suppose i*f - v = 75, -v + 2*v + 57 = 3*f. Solve -c - l = -4*c + f, -2*c - 2 = 4*l for c. 5 Let c be 48/2 + -4 + 3. Let s = -23 + c. Suppose 6*w + n - 40 = w, -2*n = s. Solve 2*m + 5*j = -m - w, -m = 3*j + 8 for m. 4 Suppose -13 = f - 3. Let t be 0/(-1)*f/30. Let z be 19 - (3 + (-2 - 1)). Solve v + 4*d = -z, -d = -5*v - t*d + 10 for v. 1 Suppose -16 = 4*t - 140. Suppose -16*p + 123 = -12*p - 3*r, r + 5 = 0. Let b = t - p. Solve b*w = -5*h - 22, 5*h = h - 3*w - 17 for h. -2 Suppose 6*r - 9*r + 12 = 0. Suppose r*x + 18 = 10*x. Solve 0 = x*l - 4*h + 2 + 13, 0 = -l - h + 2 for l. -1 Let b(q) = -q**2 - 2*q + 28. Let a be b(-6). Solve -a*i + 4*z + 12 = 0, 3 = z + 2*z for i. 4 Let f = -94 + 92. Let d be (6/4)/(f/(-4)). Solve -5*u + 5*z = -5, -3*u + d*z = 7*z + 11 for u. -1 Let a = 1031 - 1031. Solve k = -4*u + 15, 2*k + 5*u - 15 = -a*k for k. -5 Let w be (-2 - -3)*-1 - 13. Let p be (-8)/w + 12/(-21). Solve -k - 24 = -6*k - 2*y, p = k - y - 2 for k. 4 Let j = 264 - 259. Solve -5*r - 20 = -j*k, -1 = 2*k - r - 5 for k. 0 Let a = 608 - 608. Solve a = 5*s - 5*v + 4*v - 15, -5*v = 5*s - 45 for s. 4 Suppose -i + f = -2*i, 2*i + 3*f = 3. Let g be 98/8 + -3*i/(-36). Solve o + 2 + 2 = -3*d, 5*d - 3*o = g for d. 0 Let v(k) = 2 + k - 6 + 5*k**2 + 5. Let f be v(5). Suppose 0 = 4*o + 3 + 1, 5*z - o - f = 0. Solve -5*b + 2*p - 10 = -0*b, z = -4*b - 2*p for b. -4 Let t(f) = -f**3 + f**2. Let a(m) = -7*m**3 + 6*m + 34. Let d(o) = -a(o) + 6*t(o). Let v be d(-6). Solve 3 = h + v*r, 0 = 3*h - 2*r + 24 - 9 for h. -3 Suppose 4*s - 3*s = -4*w + 7, -3*s + 3*w + 36 = 0. Solve 4*q - 2*v = -29 + 3, -4*q - v - s = 0 for q. -4 Let f be ((-1)/2)/(2/(-92)). Let h = f + -13. Suppose -s + 35 = 4*s - 5*c, 3*s - 13 = c. Solve s*v - 1 - h = -2*u, v + 5*u + 5 = 0 for v. 5 Suppose 8*u - 25 = 15. Solve -3 = -u*t - 5*l + 2, 2*l = -5*t + 11 for t. 3 Let k be (8/20)/(1/25). Suppose k = -q - 5*t, -3*t - 2 = 2*q + 4. Suppose 3*n - 6 = -q. Solve -n*y - 2 = 2, 0 = -2*s - 2*y - 4 for s. 0 Let q(k) = k + 15. Let u be q(-12). Suppose -3*a + u*d + 3 = -0*d, -5*a - 4*d = -41. Solve 4*t = 4*v, 6*t = 7*t - a*v for t. 0 Suppose 8*g - 5 = 5*o + 13*g, -32 = -3*o + 4*g. Solve o*k + 5*l - 7 = 34, k + 21 = 5*l for k. 4 Let f be (-40)/(-16) + 1/4*-2. Suppose 21 = 2*t - 5*m, 0 = 5*t + f*m - 5*m - 24. Solve 0 = t*w - l + 15, -w - 3*l + 3 = -2 for w. -4 Suppose -18*b - 10 = 98. Let j(s) = -8*s - 33. Let y(a) = 9*a + 34. Let o(r) = 4*j(r) + 3*y(r). Let v be o(b). Solve -3*k + 6 = -4*n - v, -n + 6 = 3*k for k. 2 Let v be (-4 - (-3 - 1))/(-1). Suppose v*o + 18 = 3*o. Suppose -2*t - 16 = -o*t. Solve -x + 3*x = -5*h - 15, -t*x + 40 = -4*h for x. 5 Let p(n) = -n**2 + 26*n + 458. Let a be p(38). Solve -g + b - a = 0, -g - 2*b - 7 = 2*b for g. -3 Suppose -5*g = -3 + 8. Let d(u) = -875*u**2 + u. Let h be d(g). Let c be (-4)/(-30) + h/(-180). Solve l + f - 2 = -l, -c*l + 7 = 3*f for l. -1 Let z be (0/2)/(13 - 10). Suppose z = -3*g + 9. Suppose -28 = -g*p + 20. Solve n = -2*j + 5*j - p, j = 2*n + 7 for n. -1 Suppose -4*b + i + 59 = 2*i, 0 = -i + 3. Suppose -55 = -5*u + d, 0 = 4*u - 3*d - 48 + 4. Let z = b - u. Solve -5*y - 5 = z*w + 2*w, -2*w = -4*y + 20 for w. -4 Let t(g) = 2*g**2 - 15*g + 4. Let q be t(7). Let p(m) = -m - 1. Let a be p(q). Solve a*b + 4 = 4*c + 10, 4*c + 3 = b for b. 3 Let m(g) = 2*g - 13. Let w be m(9). Solve w*z - 3*l + 12 = 2, 2*z = l - 4 for z. -2 Let z(f) = 12*f + 2. Let q be z(1). Let n = q + -14. Suppose n = -h + 8 - 4. Solve -m - 5*a = -15, -2*a = -a - h for m. -5 Let x be 5 + 1 - -1*(-5 - -4). Solve 0 = -x*z + 5*l - 15 - 15, 26 = -5*z + l for z. -5 Suppose 4*a + 2*h - 32 = -12, -2*a + 4*h = 0. Solve 2*v + 8 = -r + 5*r, -v - 2*r = -a for v. 0 Suppose -5*c = -0*c - 25. Suppose 2*o + 4*l = 18 + 8, c = -3*o + 5*l. Suppose o = 2*u + 1. Solve -7 + 1 = 3*d + u*n, -d + 9 = -3*n for d. 0 Let x be 5/((20/8)/1). Suppose -13 = -2*j - x*j + r, 3*j = -2*r + 18. Suppose 3*c + 15 = 0, 5*a + j*c - c = 20. Solve -6*l - a = 3*t - 2*l, t = -5*l + 5 for t. -5 Suppose 3*t - 103 = -4*b, -4*t = -7 + 3. Let k be 130/35 - 4 - 208/7. Let c be (-24)/(-9) - (-5)/(k/4). Solve -3*f = f + n + b, -n - 15 = c*f for f. -5 Let x = -8 + 8. Suppose -2*c + 5*f + 30 = x, -2*c = -0*f + 2*f - 2. Suppose -65 = -c*b + 3*w, -b - w + 65 = 4*b. Solve -4*u + 7 = 4*k + u, -5*k = 2*u - b for k. 3 Let p be 66/((-30)/(-5)) - 7. Suppose -r + 7 = 2*h - 9, 5*r = 2*h + 20. Solve -q - a + r = 4, 0 = q + 3*a - p for q. 1 Suppose -103*z = -115*z + 24. Solve t - 3*f + 7 = -7, -12 = z*t - 2*f for t. -2 Let a(z) = -483*z + 8715. Let q be a(18). Let y = -13 - -18. Suppose 0 = y*j - 5. Solve -5*t = i + q, 2*t + j = 5*i - 2 for t. -4 Suppose 5*w = -0*w. Suppose 2*t + 3*h - 4 = 0, 6*t - 2*t + h - 8 = 0. Let x be t/4*w/7. Solve -5*g + 2*u = -27, x*u = 5*g - u - 26 for g. 5 Suppose -2*c - 5*z - 5 = 0, 2*c = 3*z + 11 + 8. Solve 2*j + j - 2*n = 0, -2*j = c*n for j. 0 Let b be -3 + 1 - (0 - 5 - -1). Solve 3*d - 1 = g, -2*d = b*g - 3*d + 7 for g. -4 Suppose -5*d - 4*c = -27, 4*d = 243*c - 245*c + 18. Solve -y + 17 = 3*t, -2*t + 4*y - d*y = -3 for t. 4 Let d be (0/(-2) - 0) + 4. Suppose -l + 4 - d = 0. Solve l = -4*j + 4*k + 16 + 4, -4*j + 15 = k for j. 4 Let q be ((-2)/(-9))/(-1) - (-632)/9. Suppose 10*j + 4*j - q = 0. Solve -j*k + 29 - 3 = d, -3*d = k - 8 for k. 5 Suppose -13*b + 2*s + 32 = -9*b, -3*s - 34 = -4*b. Solve 5*i - 13 = -3*l, -i - b + 4 = -5*l for l. 1 Let p = -35 - -12. Let y = 31 + p. Suppose 2*g = 6*g - c - 17, 2*g = -4*c + 4. Solve g*b + y = -3*x - 12, 0 = 2*b - 5*x - 16 for b. -2 Let m = 13 - 9. Suppose 8*z + 16 = m*z. Let o be (3 + z + 1)/1. Solve -2*c = -t + c - 3, -5*t + c + 13 = o for t. 3 Let y(x) = 4 - 4*x**2 - 110*x + 109*x - 4*x**3 + x**3 - 6. Let u be y(-2). Solve 3*q - g + u = -0*g, -4*q - 2*g = 24 for q. -4 Suppose -43 = -15*m - 13. Solve 3*b - m*b - x - 5 = 0, 0 = 3*b - 2*x - 11 for b. 1 Let x(h) = h**2 + 18*h + 78. Let o be x(-6). Solve -d = -2*q + 2*d - 10, -q + 2*d = o for q. -2 Suppose 124 = 21*v - 443. Solve 0 = 4*p - 4, -3*l + 23*p - v*p + 13 = 0 for l. 3 Let f(a) = 3*a - 15. Let c be f(6). Let n(l) = -5*l + 16. Let u be n(c). Solve 4*j + 3 = -2*g + u, 5*j = -5*g for g. 1 Let h = -36 + 40. Suppose h*w = 2*b + b - 4, -4*w = -2*b. Solve w*d = -3*d + i + 21, 2*i = -d + 2 for d. 4 Suppose d - v - 7 = -3*d, 0 = -4*d + 2*v + 2. Solve 0 = -4*t - 2*g - 16, 2 - d = -3*t + 5*g for t. -3 Let k = -235 + 237. Solve p + 5 = -k*g + 2, 0 = -p + 4*g + 15 for p. 3 Let k be ((-20)/(-50))/((-2)/180). Let q = k + 41. Solve -5*s + b = 2, -8 = -q*b + b for s. 0 Suppose 34*u + 48 - 1238 = 0. Suppose -q + 1 + 1 = 0. Solve -2*p + q*r = 2, -3*r = 3*p + u - 14 for p. -4 Suppose -2*n + 6 = -10. Let d be (-1)/(-4) - (-38)/n. Let s = -3 + d. Solve -2*w + 0*m = m + 9, s*m + 9 = -w for w. -3 Suppose 0 = -p + 3. Let w = -5 + 5. Suppose w = -4*y + 8 - 4, -2*a + 4*y = 2. Solve s - 2*c = -p, -5*c - 4 = a for s. -5 Let d be (-8)/(-2 + 0/8). Solve 5*n = 3*n + d*h + 12, -4*n = 5*h + 41 for n. -4 Let m(b) = -b**2 - 10*b - 13. Let v be m(-7). Solve -2*u + 2*n = -14, 5*n + v = n for u. 5 Suppose 0 = 10*f - 8*f - 12. Solve -2*k - 2*k = 12, 0 = -3*x + 2*k + f for x. 0 Let b = -50 - -53. Suppose -2*l = b*x + 5, -17 = -4*l + 4*x + 23. Solve 5 = -2*z - l*h, -4*z + 9 = 3*h - 2 for z. 5 Let l(p) = p**2 - 2*p + 7. Let h be l(4). Let n be h/(-25) + 78/5. Suppose -3*r = r + y - n, 2*r - 3*y = 11. Solve -x - 3 = -g - 0*x, -4*g - 12 = r*x for g. 0 Let k = 30 + -30. Suppose 3*x - 11 + 5 = k. Let g be ((0/(-2))/4)/x. Solve -2*v + 4*c + 8 = g, -v = -5*c - 4 - 6 for v. 0 Let p be (17 + -14)*(-5 - -6). Solve 3*n = -3*y + 6, -4*y - p*n + n = -6 f
{ "pile_set_name": "DM Mathematics" }
etermine o, given that -1/3*o - 1/3*o**2 + a = 0. -1, 0 Let p(j) = -j**3 - 5*j**2 - j - 3. Let a be p(-5). Solve 4*r**3 - a*r**5 - 26*r**4 + 26*r**4 - 2*r = 0. -1, 0, 1 Suppose y - 28 = -3*y + 5*g, 20 = -5*g. Factor 1/4 + 1/4*p - 1/4*p**y - 1/4*p**3. -(p - 1)*(p + 1)**2/4 Factor 16*b - 289/4*b**3 - 221/4*b**2 - 1. -(b + 1)*(17*b - 2)**2/4 Let f(p) be the third derivative of -p**8/13440 + p**7/840 - p**6/120 + p**5/30 - p**4/24 + 3*p**2. Let m(z) be the second derivative of f(z). Factor m(j). -(j - 2)**3/2 Solve 59 - 203 + 6*a**3 + 132*a - 2*a**3 - 40*a**2 = 0. 3, 4 Let q(m) be the first derivative of m**4/24 + m**3/4 - 8*m + 7. Let z(x) be the first derivative of q(x). Determine c, given that z(c) = 0. -3, 0 Let m = 2 - -8. Suppose 0 = -m*u + 6*u. Find z, given that 0*z + 1/6*z**3 + 1/6*z**2 + u = 0. -1, 0 Factor -31 + 162 + 44*o**2 + 49 + 156*o + 4*o**3. 4*(o + 3)**2*(o + 5) Let v(b) = 3*b**2 - 12*b - 13. Let w(g) = 4*g**2 - 18*g - 20. Let l(h) = -7*v(h) + 5*w(h). Determine r so that l(r) = 0. -3 Let u = -159/5 - -32. Let s(a) be the first derivative of -2/5*a - u*a**2 + 1/10*a**4 + 1 + 2/15*a**3. Let s(k) = 0. Calculate k. -1, 1 Factor 2/9*o - 2/9*o**3 + 2/9*o**2 - 2/9. -2*(o - 1)**2*(o + 1)/9 Let q(m) = m**2 + 3*m + 4. Let k be q(-6). Let t be 4/(-22) - (-8)/k. Factor 0*f + 0 - t*f**4 + 2/11*f**3 + 0*f**2. -2*f**3*(f - 1)/11 Let u(q) be the third derivative of q**6/360 - q**4/24 + q**3/6 - 5*q**2. Let i(m) be the first derivative of u(m). Solve i(c) = 0. -1, 1 Let c(z) = -z + 1. Let a be c(-1). Let f(g) be the first derivative of 1/4*g**4 - g**3 + 3/5*g**5 + a - g**2 + 1/6*g**6 + 0*g. Factor f(w). w*(w - 1)*(w + 1)**2*(w + 2) Suppose -2*l = 4*z + 5 - 1, -z + l + 2 = 0. Factor 2/3*m**5 + 0*m**4 + 0 + 0*m**2 - 2/3*m**3 + z*m. 2*m**3*(m - 1)*(m + 1)/3 Let g(z) be the first derivative of 2*z**3/21 + 3*z**2/7 + 4*z/7 + 5. Determine c, given that g(c) = 0. -2, -1 Let i be (4/4)/((-2)/(-54)). Let d = i - 80/3. Suppose -4/3 - d*u**2 + 4/3*u = 0. What is u? 2 Let o(w) = -4*w**4 + 15*w**3 - 8*w**2 + 3. Let p(i) = 4*i**4 - 14*i**3 + 8*i**2 - 2. Let m(z) = -2*o(z) - 3*p(z). Let m(r) = 0. What is r? 0, 1, 2 Let s(u) = u. Let c be s(4). Let g = 7 - 2. What is d in -4*d - 2*d**3 - 2*d**2 + g*d + 5 + d**4 - c + d**5 = 0? -1, 1 Suppose 0 = 2*n - l + 1, 5 = -3*n + 5*l - 0. Suppose 0 = -3*a - n*a. Factor a + 1/5*m - 1/5*m**2. -m*(m - 1)/5 Suppose 22 = 3*h - 2*f, 4*h = 2*h + f + 14. Let c be (h/81)/(4/12). Find v such that -2/9*v**5 + c*v**2 + 2/3*v**4 + 0 - 2/3*v**3 + 0*v = 0. 0, 1 Let z(o) be the second derivative of -o**6/75 - o**5/50 + o**4/30 + o**3/15 - o. What is a in z(a) = 0? -1, 0, 1 Let o(t) be the second derivative of -3*t**5/20 - 3*t**4/4 - 3*t**3/2 - 3*t**2/2 + 10*t. What is r in o(r) = 0? -1 Let n = -6/47 - -230/329. Let -2/7*l - 2/7*l**3 + n*l**2 + 0 = 0. Calculate l. 0, 1 Let m(c) be the third derivative of c**7/1050 + c**6/600 + 7*c**2. Factor m(k). k**3*(k + 1)/5 Let q(u) be the third derivative of u**8/1120 - u**7/1260 - u**6/180 - 5*u**4/24 + 4*u**2. Let i(x) be the second derivative of q(x). Factor i(t). 2*t*(t - 1)*(3*t + 2) Let w(j) be the first derivative of j**8/5880 + j**7/980 + j**6/420 + j**5/420 - j**3 - 2. Let v(d) be the third derivative of w(d). Factor v(h). 2*h*(h + 1)**3/7 Let i = -8 - -13. Let p(o) = -8*o**2 - o + i*o + 1 + 12. Let y(z) = -z**2 + 1. Let m(r) = -2*p(r) + 18*y(r). Determine q, given that m(q) = 0. -2 Let x(l) be the third derivative of -l**6/420 + l**5/210 - 11*l**2. Suppose x(q) = 0. Calculate q. 0, 1 Let w(v) = v**3 + 4*v**2 - 6*v. Let i be w(-5). Let k be ((-2)/(-7))/(i - 4). Factor 2/7*h**5 + 4/7*h**2 - k*h**4 + 2/7*h - 4/7*h**3 - 2/7. 2*(h - 1)**3*(h + 1)**2/7 Suppose 4*u + a = -3, -13 = 4*u + 5*a + 2. Let g(o) = o**3 + 14*o**2 + 21*o - 36. Let r be g(-12). Factor 0*s**2 + 4/5*s**3 - 2/5*s + u*s**4 - 2/5*s**5 + r. -2*s*(s - 1)**2*(s + 1)**2/5 Let t(h) be the third derivative of -h**8/2184 - h**7/1365 + h**6/260 + h**5/78 + h**4/78 - 6*h**2. Factor t(c). -2*c*(c - 2)*(c + 1)**3/13 Let g(v) be the third derivative of v**7/70 + v**6/20 - 2*v**5/5 - 9*v**4/4 - 9*v**3/2 - 3*v**2. Determine p, given that g(p) = 0. -3, -1, 3 Let y be (0 - (-4)/(-10))*135/(-216). Let -1/4*j**5 - y*j**2 + 1/4*j**4 + 0 + 1/4*j**3 + 0*j = 0. Calculate j. -1, 0, 1 Find t such that -17*t**2 - 48*t**3 - 8*t + 22*t**5 + 61*t**2 - 6*t**5 - 4*t**4 = 0. -2, 0, 1/4, 1 Let v(h) be the second derivative of -2*h + 0*h**4 - 1/6*h**3 + 0 - h**2 + 1/60*h**5. Let x(i) be the first derivative of v(i). Factor x(w). (w - 1)*(w + 1) Factor 1/5*z**3 + 0 + 0*z - 1/5*z**2. z**2*(z - 1)/5 Let j be 6/(-8)*(14 - (-4960)/(-336)). Factor 6/7*m**4 - j*m**3 + 0*m + 0 + 0*m**2 - 2/7*m**5. -2*m**3*(m - 2)*(m - 1)/7 Let r = -2 + 4. Let z = 71 + -141/2. Find f, given that 1/2*f**r - z + 0*f = 0. -1, 1 Let h(o) = 19*o - 112. Let s be h(6). Let 0 + 0*d + 0*d**4 + 0*d**s + 1/3*d**5 - 1/3*d**3 = 0. Calculate d. -1, 0, 1 Let a(p) = 3*p**2 + p. Let r be a(-1). Let 2*y**3 + 6*y**4 - r*y + 0*y**2 + 0*y - y**2 - 5*y**4 = 0. Calculate y. -2, -1, 0, 1 Let 1/2*n + 1/2*n**4 + 0 - 1/2*n**3 - 1/2*n**2 = 0. Calculate n. -1, 0, 1 Factor -7/2*d**3 - 1/2*d**5 - 3/2*d**2 + 0*d - 5/2*d**4 + 0. -d**2*(d + 1)**2*(d + 3)/2 Let w = -38 + 42. Find b such that 8/5*b + 8/5*b**3 - 2/5*b**w - 2/5 - 12/5*b**2 = 0. 1 Let i(m) be the third derivative of -1/150*m**5 + 1/120*m**4 - 1/600*m**6 - m**2 + 0 + 1/525*m**7 + 0*m + 0*m**3. Solve i(q) = 0 for q. -1, 0, 1/2, 1 Let q(i) = 4*i**4 + 16*i**3 + 19*i**2 + 11*i + 4. Let x(d) = -4*d**4 - 16*d**3 - 20*d**2 - 12*d - 4. Let w(k) = 4*q(k) + 5*x(k). Suppose w(g) = 0. Calculate g. -1 Let c(h) = -15*h**2 + 30*h - 20. Let a(q) = -7*q**2 + 15*q - 10. Let k(t) = -5*a(t) + 2*c(t). Suppose k(b) = 0. What is b? 1, 2 Factor -1/3*c**2 - 1/3*c + 0. -c*(c + 1)/3 Suppose -g - 8 = -5*g. Suppose 2*p = -g*u + 5*p + 9, -3*p - 9 = -5*u. Find a, given that -a**3 + u - 1/2*a**4 + 0*a - 1/2*a**2 = 0. -1, 0 Let d(v) be the third derivative of v**7/35 + v**6/12 - v**5/6 - 5*v**4/12 + 2*v**3/3 + 3*v**2. Determine i, given that d(i) = 0. -2, -1, 1/3, 1 Let x be (-3)/15*(2 + -3). Let g(a) be the second derivative of 0 + a - 1/30*a**4 - 2/15*a**3 - x*a**2. Suppose g(c) = 0. Calculate c. -1 Let o(h) be the first derivative of 1 + 0*h**2 + 0*h - 1/2*h**4 - 4/3*h**3. Factor o(p). -2*p**2*(p + 2) Determine p, given that 4/19*p + 14/19*p**4 + 0 + 32/19*p**3 + 22/19*p**2 = 0. -1, -2/7, 0 Factor 12/7 + 2487/7*h**2 - 4050/7*h**3 - 324/7*h + 1875/7*h**4. 3*(h - 1)**2*(25*h - 2)**2/7 Let p be (-1 - -1)/(0 + -1). Let c be (-51)/(-15) - (-2)/(-5). Factor 1/4*m**2 - 1/4*m**c + 0 + p*m. -m**2*(m - 1)/4 Let f(n) be the first derivative of n**8/1680 - n**6/180 + n**4/24 + n**3/3 + 3. Let v(g) be the third derivative of f(g). Suppose v(s) = 0. Calculate s. -1, 1 Let i(v) be the third derivative of v**5/12 - 5*v**4/24 - 5*v**3/3 + 4*v**2. Factor i(k). 5*(k - 2)*(k + 1) Let n(z) = -2*z - 2. Let q be n(-2). Let c be (-4)/35 - q/(-5). Factor -2/7*f - c*f**3 + 0 + 4/7*f**2. -2*f*(f - 1)**2/7 Let x(p) be the third derivative of p**5/300 - p**4/40 - 44*p**2. Find d such that x(d) = 0. 0, 3 Let c(m) be the second derivative of m**6/105 - m**5/70 - m**4/42 + m**3/21 - 22*m. Suppose c(l) = 0. What is l? -1, 0, 1 Factor 3/2*q**2 + 0 + q + 1/2*q**3. q*(q + 1)*(q + 2)/2 Factor 0 + 38/7*d**4 + 4/7*d - 2*d**5 - 30/7*d**3 + 2/7*d**2. -2*d*(d - 1)**3*(7*d + 2)/7 Let d(s) be the first derivative of -s**6/600 + s**4/40 - 4*s**3/3 - 2. Let y(v) be the third derivative of d(v). What is b in y(b) = 0? -1, 1 Suppose 0*q + 0*q = -q. Let l(a) be the second derivative of a**2 + 7/6*a**3 - a + 3/20*a**5 + 2/3*a**4 + q. Factor l(r). (r + 1)**2*(3*r + 2) Suppose -6*v = -7*v + 18. Let a be 0 + -1 + v/15. Factor 3/5*z - a*z**2 - 2/5. -(z - 2)*(z - 1)/5 Let y(j) be the first derivative of 1/7*j**2 + 0*j**3 + 0*j - 1/14*j**4 - 9. Factor y(b). -2*b*(b - 1)*(b + 1)/7 Let -4*h + 7*h + 5*h - 2*h + 3*h**2 = 0. What is h? -2, 0 Let a(l) be the first derivative of 1/3*l**3 - 1/4*l**4 + 1/4*l**2 - 1/10*l**5 - 1 - 1/2*l + 1/12*l**6. Let a(n) = 0. Calculate n. -1, 1 Let i(g) be the first derivative of g**4/4 - 3*g**3 + g**2/2 - 11*g - 2. Let q(h) = 2*h**2 + 2. Suppose -2 = 5*t + 8. Let w(f) = t*i(f) - 11*q(f). Factor w(p). -2*p*(p + 1)
{ "pile_set_name": "DM Mathematics" }
(base 9) to base 4. 113033 125 (base 10) to base 6 325 What is 702 (base 13) in base 15? 540 -2f1 (base 16) to base 15 -353 Convert 2b1 (base 12) to base 2. 110100101 Convert -2212434 (base 5) to base 14. -10058 -5a6 (base 15) to base 11 -a65 10303 (base 7) to base 13 1213 What is -1c0 (base 15) in base 8? -625 Convert -16a1a (base 14) to base 6. -1115132 Convert -12120121 (base 3) to base 6. -30454 What is -2013214 (base 5) in base 11? -22302 106 (base 10) to base 6 254 -10024432 (base 5) to base 12 -3a360 Convert 243332 (base 5) to base 10. 9217 What is -324 (base 5) in base 4? -1121 What is 32a (base 12) in base 14? 254 What is 3010 (base 8) in base 9? 2105 What is -33022131 (base 4) in base 16? -f29d -4b22 (base 14) to base 16 -336a -10101000010 (base 2) to base 13 -7c7 8002 (base 14) to base 12 10856 Convert 10100011110100 (base 2) to base 7. 42365 -10013130 (base 4) to base 8 -40734 What is 42304 (base 5) in base 8? 5415 -325030 (base 6) to base 16 -698a 21120 (base 3) to base 11 176 What is -101303 (base 7) in base 13? -7b4a Convert 420130 (base 5) to base 10. 13790 Convert -21011020 (base 4) to base 2. -1001000101001000 -256 (base 15) to base 3 -201200 -54 (base 7) to base 6 -103 -2260 (base 9) to base 8 -3212 Convert 111 (base 9) to base 7. 160 Convert -22123 (base 12) to base 7. -245325 Convert -805 (base 9) to base 10. -653 -10100011011011 (base 2) to base 5 -313314 What is -229 (base 11) in base 7? -540 10010100110000 (base 2) to base 6 112024 What is -1013014 (base 5) in base 6? -205002 What is 221410 (base 6) in base 12? a866 What is 6437 (base 13) in base 11? a4a0 Convert 543 (base 8) to base 4. 11203 What is -14154 (base 7) in base 4? -330111 What is 1110110010110 (base 2) in base 15? 239e 540 (base 12) to base 13 471 Convert -11011102212 (base 3) to base 7. -460655 -1288 (base 13) to base 10 -2647 What is 97a1 (base 11) in base 3? 122202011 -2988 (base 11) to base 9 -5244 -101011110100001 (base 2) to base 4 -11132201 What is -200012111 (base 3) in base 10? -13270 What is 2202020102 (base 3) in base 15? 1107e What is 3421 (base 5) in base 12? 346 13750 (base 11) to base 14 7196 Convert 503 (base 7) to base 13. 161 Convert -2d4d (base 15) to base 4. -2120110 What is -61231 (base 9) in base 3? -2001021001 22012 (base 4) to base 9 787 Convert -bed (base 15) to base 3. -10200221 What is 34253 (base 6) in base 13? 2298 What is -65710 (base 8) in base 2? -110101111001000 What is -345305 (base 6) in base 15? -8c05 What is -31222 (base 5) in base 16? -80e 152 (base 14) to base 13 178 What is 79a (base 12) in base 14? 5a6 Convert -565 (base 11) to base 14. -364 -77ee (base 15) to base 2 -110001101010000 3120 (base 5) to base 2 110011010 Convert 71 (base 10) to base 11. 65 What is -39 (base 12) in base 15? -30 529 (base 11) to base 7 1566 Convert 250 (base 8) to base 13. cc -110111000 (base 2) to base 5 -3230 Convert -410 (base 10) to base 9. -505 Convert -20022021 (base 3) to base 13. -2128 71284 (base 10) to base 2 10001011001110100 What is -106427 (base 9) in base 10? -63772 Convert -74c7 (base 13) to base 12. -9476 What is 500 (base 14) in base 4? 33110 What is -1010101000 (base 2) in base 16? -2a8 2522 (base 8) to base 3 1212110 404 (base 5) to base 3 10212 Convert bdc (base 15) to base 9. 3610 What is -1383 (base 9) in base 10? -1047 What is 1702 (base 8) in base 15? 442 -3002 (base 14) to base 16 -202a 1633 (base 7) to base 5 10121 Convert -3132 (base 9) to base 6. -14345 Convert 100010110000 (base 2) to base 5. 32344 -226302 (base 7) to base 8 -117257 110011010 (base 2) to base 8 632 What is 220 (base 16) in base 3? 202011 What is 77 (base 16) in base 11? a9 What is -2b06 (base 16) in base 8? -25406 -20b9 (base 14) to base 15 -1a1b -1000111010 (base 2) to base 5 -4240 What is -c32 (base 15) in base 5? -41442 Convert -25762 (base 10) to base 3. -1022100011 Convert -1011111011101 (base 2) to base 14. -2325 What is -26a3 (base 16) in base 8? -23243 6466 (base 11) to base 14 3182 What is 424 (base 11) in base 15? 240 -3a6b (base 12) to base 10 -6707 What is -30695 (base 10) in base 12? -1591b Convert 194aa (base 11) to base 16. 6a58 What is -1132 (base 7) in base 15? -1ca -1acb (base 16) to base 14 -26dd Convert -c3b (base 15) to base 11. -2086 Convert 5254 (base 6) to base 8. 2242 Convert -59c (base 14) to base 12. -792 Convert 3136 (base 7) to base 11. 915 What is -402 (base 9) in base 8? -506 What is 21010200 (base 3) in base 8? 12122 What is -24414 (base 6) in base 11? -2792 45420 (base 6) to base 12 3870 -505 (base 10) to base 13 -2cb 984 (base 10) to base 6 4320 Convert 1431 (base 5) to base 4. 3301 Convert 112112 (base 4) to base 15. 655 126 (base 11) to base 3 12112 Convert -33453 (base 6) to base 15. -15e3 -2bc7 (base 15) to base 11 -7087 What is b7 (base 12) in base 2? 10001011 What is -442 (base 7) in base 8? -342 What is -200222212 (base 3) in base 12? -801b Convert 1aa (base 14) to base 11. 295 What is 24387 (base 9) in base 5? 1010420 Convert 312101 (base 4) to base 9. 4678 What is 1403 (base 7) in base 10? 542 -100011111000011 (base 2) to base 10 -18371 What is 1031 (base 8) in base 5? 4122 Convert 143 (base 10) to base 7. 263 Convert 2112310 (base 4) to base 8. 22664 Convert -1a5 (base 11) to base 5. -1421 21233 (base 5) to base 10 1443 576 (base 13) to base 11 787 Convert -10d60 (base 14) to base 4. -22001120 67466 (base 8) to base 6 335450 What is -210112 (base 3) in base 10? -581 What is 421 (base 16) in base 15? 4a7 What is -1022202 (base 3) in base 16? -3c5 -10111100 (base 2) to base 5 -1223 What is 1b0 (base 16) in base 6? 2000 -9da6 (base 14) to base 7 -142566 Convert 52073 (base 9) to base 16. 8619 1312301 (base 4) to base 9 11375 What is 100100100001001 (base 2) in base 15? 5817 13143 (base 5) to base 11 873 -16b (base 16) to base 14 -1bd Convert -2150 (base 6) to base 2. -111110010 What is -10210020 (base 3) in base 2? -101011001000 332424 (base 5) to base 11 87a9 Convert -5531 (base 6) to base 9. -1671 1110101010010100 (base 2) to base 7 340036 What is 4289 (base 12) in base 9? 11016 What is -1154 (base 7) in base 5? -3211 What is 46 (base 8) in base 11? 35 -115b (base 14) to base 8 -5715 -10210033 (base 4) to base 12 -a9a7 Convert 444 (base 15) to base 6. 4244 22121 (base 3) to base 10 232 Convert 334141 (base 5) to base 8. 27024 What is -1465 (base 14) in base 15? -1112 Convert -22421 (base 5) to base 8. -3113 What is 134433 (base 5) in base 13? 2732 Convert -1200222120 (base 3) to base 12. -17496 What is 2030022 (base 5) in base 12? 17215 Convert 4542 (base 7) to base 14. 859 What is -1a152 (base 13) in base 3? -2120122021 Convert -1044010 (base 5) to base 3. -221120000 Convert 150 (base 6) to base 11. 60 -120 (base 6) to base 16 -30 -258 (base 10) to base 6 -1110 2015 (base 8) to base 9 1372 What is 161440 (base 8) in base 10? 58144 -41247 (base 8) to base 2 -100001010100111 What is -211223 (base 4) in base 3? -10022022 Convert 1c685 (base 13) to base 15. 11918 Convert -113542 (base 6) to base 13. -4697 12232 (base 4) to base 10 430 What is -234 (base 12) in base 3? -110011 Convert 55441 (base 7) to base 12. 80a1 Convert 8cc (base 13) to base 4. 113300 Convert -18538 (base 9) to base 6. -135225 What is 121111010 (base 3) in base 10? 12018 26221 (base 12) to base 13 1a97a 5c8 (base 15) to base 9 1718 -317 (base 8) to base 5 -1312 Convert 324 (base 16) to base 6. 3420 What is -1c8 (base 16) in base 10? -456 What is 34726 (base 9) in base 4? 11222112 48211 (base 10) to base 15 e441 Convert 2020020 (base 3) to base 15. 736 -815 (base 9) to base 5 -10122 What is 65c (base 13) in base 8? 2103 Convert -131105 (base 7) to base 16. -5f57 -688 (base 15) to base 9 -2022 What is 2f8f (base 16) in base 2? 10111110001111 What is -7cd (base 14) in base 5? -22203 What is 165 (base 16) in base 2? 101100101 -7023 (base 8) to base 7 -13335 -762 (base 13) to base 5 -20023 2c8 (base 15) to base 4 21332 What is 101244 (base 5) in base 4? 303330 What is 2062 (base 9) in base 4? 113222 What is 110111002 (base 3) in base 7? 35351 Convert -20027 (base 8) to base 5. -230330 Convert 7657 (base 9) to base 5. 140031 Convert 11342 (base 9) to base 3. 101101102 Convert 2315 (base 6) to base 13. 335 -61276 (base 8) to base 16 -62b
{ "pile_set_name": "DM Mathematics" }
+ 47*r - 89. Let i be g(2). Put i, p, f in decreasing order. p, i, f Let l(a) = a**2 - 13*a + 36. Let j be l(8). Let p be -4 - (j - (-3 + 1 + 0)). Let d(o) = -2*o - 8. Let z be d(-6). Put -5, z, p, -4 in decreasing order. z, p, -4, -5 Let j = -2/4665 - 1724/331215. Let o = -692/3195 + j. Sort 5, o, -0.7 in decreasing order. 5, o, -0.7 Let s = 509.19 + -509.2. Sort -4, -2, -3, 4, s in descending order. 4, s, -2, -3, -4 Suppose -4 = 3*p - 10. Let b be 3 - (3 + 6) - -5. Put p, b, 26 in descending order. 26, p, b Suppose -x = -4*r - 163, x - 199 + 52 = -4*r. Suppose b + 2 = y - 39, b = 4*y - x. Let t = 36 - y. Sort 7, -1, t in ascending order. t, -1, 7 Suppose f - 3 - 2 = 0. Suppose -u + f*p = -8, -9 = -2*u + p + 2*p. Let l be (-8 - (-636)/84) + 25/(-7). Sort l, u, 5, -2 in increasing order. l, -2, u, 5 Let x = 14537 + -14528. Sort -2, -5, 50, x in descending order. 50, x, -2, -5 Let a = 23009 - 23010. Put 0.17, a, 3/2, -2/9, -37 in ascending order. -37, a, -2/9, 0.17, 3/2 Let q be (-34)/120 + (-1)/(-3). Let x = 14192 + -14194. Put 0.3, q, x, -5 in descending order. 0.3, q, x, -5 Suppose 185261 + 194740 = -655*l - 764284. Sort 5, -4, l, -5. l, -5, -4, 5 Let u(y) = -y**3 - 25*y**2 - 50*y - 79. Let o be u(-23). Sort o, 2, 6, 0. 0, 2, 6, o Let x = -0.753 - -0.093. Let q = x + 0.26. Let o = 47/3 - 233/15. Sort o, q, 0.5 in ascending order. q, o, 0.5 Suppose 5*i = 5, -4*i - 127 + 116 = -5*f. Sort -2, 0, 35, f, 1 in descending order. 35, f, 1, 0, -2 Let w = 383 - 834. Let g = w + 452. Sort 0.02, g, -1/11, 1/3 in decreasing order. g, 1/3, 0.02, -1/11 Let o be ((-119)/(-9) - 13) + 152/(-198). Put o, -0.037, 4/7, 1, 0.4 in increasing order. o, -0.037, 0.4, 4/7, 1 Let c be (2/(-7))/(50/175). Sort c, 28, 1, -4. -4, c, 1, 28 Let h = 5 + -10. Let v = -22812 - -22808. Sort v, h, -2/25 in increasing order. h, v, -2/25 Let m = 26782 - 187475/7. Sort m, -160, 5 in descending order. 5, m, -160 Let h(f) = f**2 - 94*f + 7. Let p be h(94). Sort p, 1, 19 in descending order. 19, p, 1 Let y be ((-18)/84*7)/((-12)/32). Sort 8, -14, y. -14, y, 8 Suppose 45 = -9*o - 0. Let c be 13 + 1 + (8 - 12). Put 0, c, -1, o in decreasing order. c, 0, -1, o Suppose 17 = -r - 2*r - 2*v, -4*r + 3*v - 17 = 0. Let d be (44/(8 + 3))/((-9)/(-16 - -7)). Put r, -3, d, 3 in decreasing order. d, 3, -3, r Let t(i) = -i**3 + 36*i**2 + 36*i + 8. Let o be t(37). Put -4, -5, -14, o in ascending order. o, -14, -5, -4 Let a = 217019/1295 + -1173/7. Let y = 1291/370 + a. Let h = 17.2 - 17. Put h, y, 3 in ascending order. h, 3, y Let w = -7066 - -7067. Put -2, 2, 10, -10, w in ascending order. -10, -2, w, 2, 10 Suppose 422 + 118 = -5*b. Let i = -192 - b. Let t be 4 + 0 - (-384)/i. Put 9, t, -1 in increasing order. -1, t, 9 Let g(z) = -19*z - 1874. Let v be g(-98). Sort v, 105, 1 in descending order. 105, 1, v Let s(o) = -18*o - 196. Let h be s(-11). Put h, -68, -3, 4 in descending order. 4, h, -3, -68 Suppose -7*r - 51*r + 5*r - 16907 = 0. Put -4, -1, -5, r in decreasing order. -1, -4, -5, r Suppose 14*v - 20*v = 39 - 21. Let o = -15 - -11. Sort 17, o, v, -1 in decreasing order. 17, -1, v, o Let o(s) be the first derivative of -2*s**2 + 70*s - 18. Let z be o(17). Sort -1, z, 0, 5 in decreasing order. 5, z, 0, -1 Let n = 48.41 + -60.41. Sort n, 0, -2/7, -1/2 in descending order. 0, -2/7, -1/2, n Let c(q) = q**3 + 16*q**2 + 30*q + 28. Let b be c(-14). Suppose b*d - 5 = d. Sort -3, -1.05, d in descending order. -1.05, -3, d Let h be (-9 - 530/(-50))*2/4. Sort -3/4, h, -2/9, 2/17, -1/3 in descending order. h, 2/17, -2/9, -1/3, -3/4 Let h be 10/(-20)*(114/15 + (-16)/(-40)). Put h, 12/11, -0.4 in ascending order. h, -0.4, 12/11 Let w = 0.1932 + -0.2932. Sort 147, w, 3/10. w, 3/10, 147 Let g = -0.11 + 11.11. Sort g, -1/3, 0 in ascending order. -1/3, 0, g Let d(v) = -v**3 - 3*v**2 - 2*v - 3. Let x be d(-3). Suppose -39 = -482*o + 521*o. Sort -5, -4, o, x in ascending order. -5, -4, o, x Let q = 1 + -1. Let n = -105 + 103. Let i be 10/2*n*15/50. Sort -2, q, i. i, -2, q Let q be 0 - (1 + (-2)/3). Let k be (-100)/(-3432)*8 + (-2)/39. Let w = -4.01 + 0.01. Sort k, w, q in descending order. k, q, w Let x be 0 + (-3)/(3/(-2)). Let k = -31278.6 - -31277.6. Sort -3, x, 3/7, k in ascending order. -3, k, 3/7, x Let c = 5 - 5.4. Let f = -130.98 + 129. Let p = -6.98 - f. Sort 1/2, c, 0.03, p. p, c, 0.03, 1/2 Suppose -4*g + 16 = -16. Suppose -g*f = -13*f + 5. Suppose 5*h - 39*u = -42*u + 108, -5 = -5*u. Sort 3, f, h in decreasing order. h, 3, f Suppose 2234*h = 2236*h + 8. Suppose -4*m + 26 = -2*t, m = -5*t - 2*m. Sort h, -6, -5, t. -6, -5, h, t Let w = -8 + 6.8. Suppose 35*y = -25 + 200. Put -2, w, y in increasing order. -2, w, y Let c(h) = h**3 + 11*h**2 + 21*h + 25. Let s(y) = -2*y**3 + 3*y**2 - 9. Let d be s(0). Let k be c(d). Put k, 37, 5 in increasing order. k, 5, 37 Let r = 647.57 + -426.66. Let d = r + -221. Suppose -2*u = 6 - 4. Sort 4, d, u in descending order. 4, d, u Let a be 2*(-2)/110*5/13. Sort a, -2, 3/14 in decreasing order. 3/14, a, -2 Let r = 8238.9 + -8239. Put 0, 1/9, r, -2/5, -2 in increasing order. -2, -2/5, r, 0, 1/9 Suppose -3*w + 91 = 82. Suppose -w*n + 20 = -8*n + 5*x, 2*n + 3*x = -3. Let i be (14/(-4))/(n/6). Sort -1, -4, i in decreasing order. i, -1, -4 Let v be -3 + 5 - (272/204)/((-28)/(-39)). Put 1, -15, v, 6 in ascending order. -15, v, 1, 6 Let w be 21 - 0 - (-3)/1. Suppose -2*k - w = 4. Suppose -3*v + 3*x = -6, 75*v + x = 71*v + 8. Sort k, v, -1 in descending order. v, -1, k Let z = 0.05153 + -0.05153. Sort 0.2, z, -35/9, -1. -35/9, -1, z, 0.2 Suppose -16 + 276 = 4*h. Let q be -5*(8 + (-185)/25). Put h, -5, q in increasing order. -5, q, h Let t = 2/27 - 13/54. Let p(f) = -8*f + 158. Let i be p(20). Sort 2/15, t, i. i, t, 2/15 Let z(l) = -6 + 4*l + 6 - 7 - l + l**2. Let x be z(-5). Suppose b - 3*c = 16, 0 = 6*b - 2*c + 149 - 165. Put 0, x, 5, b in descending order. 5, x, b, 0 Let i be (24/14)/((-30)/(-105)). Let f be (-5)/(3*(-2)/i). Put 3, 0, -4, f in descending order. f, 3, 0, -4 Let x = 130 - 132.26. Let t = x + 2.2. Sort -3, t, -0.4 in ascending order. -3, -0.4, t Suppose -2*f = -2*t - 8, -2 = -4*f + 5*t + 13. Let c be 28*(-1)/(-2)*52/(-182). Put f, 47, c in descending order. 47, f, c Let i = -2858 + 2860. Let o = 70 + -39. Put -2, o, i in increasing order. -2, i, o Let n be 100*((-18)/12 - -2). Suppose 0 = 9*t + 77 - n. Sort -6, -17, t. -17, -6, t Let p(f) = -f**2 - 8*f + 157. Let i be p(9). Put -3/314, 0.3, i in decreasing order. i, 0.3, -3/314 Let m be ((-1)/(-3))/(1/(-3)). Suppose -500*b = -5*i - 498*b - 43, 0 = i + 5*b - 40. Sort 6, 2, i, m in ascending order. i, m, 2, 6 Suppose 40*d + 439 = -241. Sort -1, -7, 1, d in increasing order. d, -7, -1, 1 Let n be (-10*(-1)/(-5))/2. Sort 5, n, -10 in increasing order. -10, n, 5 Suppose -285 = -234*u + 320*u + 59. Put 5, u, -5, 0 in increasing order. -5, u, 0, 5 Let z be 2 + -4 + (-13)/(-8). Suppose 0 = 4*a + x + 7, 0 = 5*a + 2*x - 4 + 12. Sort 4, z, a, 5. a, z, 4, 5 Suppose 4*z - 14 = 34. Let s be 26/6 - (60/9)/(-10). Put s, -1, z, 2 in increasing order. -1, 2, s, z Suppose 107 = 9*m - 217. Let c be 1326/252 + 6/m. Put 0.3, 1/4, c in increasing order. 1/4, 0.3, c Let b = 2892 + -2892. Put 0.9, b, 2/19 in descending order. 0.9, 2/19, b Let a(o) = -o**3 - 7*o**2 + o + 6. Let q be a(-7). Let k = -118818 - -118808. Sort 5, k, q. k, q, 5 Let v = -182/75 - -3802/825. Sort 3/2, 2, v in descending order. v, 2, 3/2 Let q = -3 - -4. Let b(l) = 23*l + 72. Let w be b(-6). Let i = w + 63. Put q, 2, 3/2, i in ascending order. i, q, 3/2, 2 Suppose 25*b - 21988 = -21863. Let z be -10*(-2)/5*1. Sort 2, b, 10, z in increasing order. 2, z, b, 10 Let p = -455 - -454. Let b be 3 + 2 + 104/(-20). Sort p, b, -3 in ascending order. -3, p, b Suppose 4*x + 13 = -3. Suppose -j = 3*w - 63, 8 = -5*w + 2*j + 102. Suppose 3*v + 18*g = w*g - 29, 0 = -2*v - 5*g - 13. Sort -3, x, v, 3 in ascending order. v, x, -3, 3 Let t = -23.15 + 22.95. Sort -0.5, t, 47/8 in decreasing order. 47/8, t, -0.5 Let w = -0.1607 - -0.4607. Sort -5/3, 3/7, 5, -4, w in decreasing order. 5, 3/7, w, -5/3, -4 Let o = 112494/17 + -224903/34. Let t = -2.5 + 3. Put t, 9, o in decreasing order. 9, o, t Suppose 218*n = 367 + 69. Sort n, -20, -5, 11 in descending order. 11, n, -5, -20 Let w = -1084
{ "pile_set_name": "DM Mathematics" }
= 4*z - 7*c + 3*c - 36. Calculate the greatest common divisor of 72 and z. 9 Suppose -5*p = -16 + 6. Let i be 141 - 2/p*2. Suppose 4*y - 5*y = -5*z - 35, -2*z = 3*y - i. What is the greatest common divisor of y and 5? 5 Suppose -7 = -g - 2. What is the highest common factor of g and 45? 5 Let w(d) = d**3 + 4*d**2 + 4*d - 1. Let y be w(-3). Let z(a) = a**2 - 5. Let c be z(y). Calculate the greatest common divisor of c and 11. 11 Let h be 20*(-4 - 27/(-6)). Calculate the highest common factor of h and 80. 10 Let f be (-83 - (-1 + 2))*(-2)/4. What is the greatest common factor of 105 and f? 21 Suppose 4*u = -4*t - 12, 5*u + 13 + 16 = 2*t. Calculate the highest common factor of 8 and t. 2 Suppose 0 = -3*t + 6*t - 48. Let c = 239 + -337. Let q = c - -138. What is the highest common factor of t and q? 8 Let u be -4 + 3 + -1 + 10. Suppose -145 = -3*s - 2*s. Let x = s - -19. What is the greatest common factor of x and u? 8 Suppose 0 = -3*n + 25 + 11. Let t = 24 - n. Suppose j + j - 5*u = 70, 0 = 4*j + u - 118. Calculate the greatest common divisor of t and j. 6 Suppose 2*i = 4*i - 6. Suppose -5*w + 6 = i*z - 29, 70 = 4*z + 2*w. Let x(a) = -3*a - 95. Let d be x(-33). Calculate the highest common divisor of d and z. 4 Suppose 4*l = -l. Let r(x) = x**2 - x + 18. Let g be r(l). Calculate the greatest common divisor of 45 and g. 9 Let b be (7 + -1)*(3 + -2). Suppose 3*j - 4*u + 108 - 345 = 0, -2*u + 338 = 4*j. Let h = -35 + j. Calculate the greatest common divisor of h and b. 6 Suppose -10*c - 110 = -20*c. What is the greatest common divisor of 88 and c? 11 Suppose -2*c + 70 = -2*x, 0 = 3*c + 2*x - 53 - 37. Calculate the highest common divisor of c and 8. 8 Let u be ((-40)/6)/(1/(-3)). Suppose 5*d = -2*m + 38, 5*d - 20 = -3*m + 37. Let y = m + -11. What is the greatest common factor of u and y? 4 Suppose j - 85 = -4*j. Let d = 2368 + -1569. Suppose 5*h = -204 + d. What is the highest common factor of h and j? 17 Let t(i) = -i**3 + 5*i**2 + 5. Let w be t(5). Suppose -w*p = -3*p - 6. Calculate the highest common divisor of 1 and p. 1 Let f = 132 - 84. Calculate the greatest common divisor of f and 6. 6 Suppose 5*s - 4*u + 8 = 0, 6 = -s - 2*u + 5*u. Suppose 22 = -s*p + p. What is the highest common divisor of 154 and p? 22 Let z = -340 - -580. What is the greatest common divisor of z and 30? 30 Let s be 16/10 + (-8)/(-20). Suppose -u + 4*u + 3 = 0. Let k be u/(-2) + 7/s. What is the highest common divisor of k and 4? 4 Let v = -6 + 8. Suppose -3*w = -w - 4. Let p = v + w. What is the highest common divisor of 20 and p? 4 Suppose -4*b = b - 45. Let k(c) = -c**3 - c - 1. Let y be k(-1). Let q be (3 - 1)*y/2. What is the highest common factor of q and b? 1 Let s(j) = j + 1. Let p be s(12). What is the highest common divisor of 13 and p? 13 Suppose 0*j - 3*j + 15 = 0. Suppose j*l = l. Suppose t = l, -t = -4*d + 4 + 56. What is the greatest common factor of 10 and d? 5 Let y(w) = 2*w**2 - 10*w**2 - 8*w - 4 + w**3 + 2*w - 2*w. Let f be y(9). Let p = -33 + 48. Calculate the highest common factor of p and f. 5 Let v be 0 + (50 - (-2 + 0)). Let y be (-6)/(-9) + v/3. Calculate the greatest common factor of 6 and y. 6 Let c = 1 + 21. Let s = 38 - c. What is the greatest common divisor of s and 2? 2 Let z = -9 + 13. Let n be (-2 + z)*154/4. Suppose 66 = -6*u + 12*u. What is the highest common divisor of n and u? 11 Let c = 0 - -8. Let h(v) = -v**2 + 14*v - 18. Let y be h(12). Let f be (80/12)/(2/y). Calculate the greatest common factor of c and f. 4 Let q be (-12)/54 - (-11)/9. Let d be (10/3)/(q/6). What is the greatest common divisor of d and 180? 20 Let c be ((-3)/(-2))/((-2)/(-4)). Suppose l + 2 = c*l. Suppose -r = -7 - l. Calculate the highest common factor of r and 1. 1 Suppose 3*m - 2*s + 6*s = -3, -5*m + 3*s + 24 = 0. Let j = -114 + 117. Calculate the greatest common divisor of m and j. 3 Let w be -1*-18*8/12. What is the highest common factor of 228 and w? 12 Let o = -3 + 2. Let c be 8 + (-3 - o) + -1. Suppose 2*g - 55 = -3*u, c*u - 48 = 4*g + 29. What is the greatest common divisor of u and 187? 17 Let a = -46 + 72. Calculate the greatest common factor of 39 and a. 13 Let o be 7 - 8/(-4) - 0. Suppose 5*l + j = -5, 0*j + 4*j = -5*l - 20. Let a(b) = -b + 3. Let z be a(l). What is the highest common factor of z and o? 3 Let u = 38 - 5. Suppose -6*p + u = -3*p. Let a be ((-22)/6)/(1/(-3)). Calculate the greatest common factor of a and p. 11 Let r = 11 + -6. Calculate the greatest common divisor of r and 115. 5 Let l be ((-1 - 0)*-10)/(-1). Let x be 1/(-4)*14*l. Let m = 9 + -4. Calculate the highest common factor of x and m. 5 Suppose b + 4*b = -3*u + 87, 56 = 4*b - u. Suppose 5*x = -5*n + 45, 6*n + b = 5*x + n. Suppose -29 + 161 = 2*i. Calculate the highest common factor of x and i. 6 Let d(b) = -4*b + 41. Let z be d(7). What is the greatest common divisor of 13 and z? 13 Suppose -n - 145 = -6*n. Calculate the greatest common divisor of n and 87. 29 Let o(g) = g**2 - 7*g - 5. Let i be o(8). What is the greatest common factor of 33 and i? 3 Suppose -3*u = -0*u - 36. What is the greatest common divisor of u and 18? 6 Let g(d) = 12*d - 2. Let c be g(-2). Let p = c - -37. Calculate the greatest common divisor of 11 and p. 11 Let c(t) = 74*t - 2. Let h be c(3). Let i = h - 31. What is the greatest common divisor of i and 21? 21 Suppose 5*q = 3*n - 26, -2*q = 4*n - 1 - 25. Suppose n = g - 10. What is the greatest common factor of 17 and g? 17 Let q(k) = -95*k + 2. Let r be q(-2). What is the greatest common divisor of 24 and r? 24 Let i = 20 + -25. Let w(u) = u**2 + 7 + 0*u**2 - 2 + 2*u. Let a be w(i). What is the highest common factor of a and 5? 5 Let u = 63 + -47. Calculate the highest common factor of 16 and u. 16 Let f = 3 - 0. Suppose 21 = -2*j - 5*y, f*y + 0*y = 2*j - 3. Let a(s) = -s**2 - 7*s - 3. Let m be a(j). Calculate the highest common divisor of 9 and m. 9 Let u be 5/(10/132)*1. Suppose v + u = 4*v. What is the highest common divisor of 55 and v? 11 Let h = -4 - -15. What is the highest common factor of h and 22? 11 Let c(j) = 13*j + 3. Let l be c(4). Suppose -m - 2*u - 94 = -5*m, 2*m - 2*u - 50 = 0. Calculate the highest common divisor of l and m. 11 Let g be (15/6 - 2)*12. Suppose -g*y = -0*y - 1980. What is the highest common factor of y and 30? 30 Suppose 50 - 14 = 3*g. Suppose 4*o - 106 = -o + a, -3*o = 4*a - 59. Suppose 2*b - o = 3. What is the greatest common divisor of b and g? 12 Let v be 2/5 + (-790)/(-25). What is the greatest common divisor of v and 112? 16 Let g = -168 + 108. Let w be 1/((-1)/g + 0). What is the highest common factor of w and 12? 12 Let b = -1 - -3. Suppose 0 = -n + b*n - 14. Calculate the greatest common factor of n and 35. 7 Let l(d) = 4*d**3 + 2*d**2 - 3*d. Let k be l(3). What is the greatest common divisor of k and 13? 13 Let n be 2384/(-36) - 2/(-9). Suppose o - 3*d - 58 = 31, o + 2*d = 104. Let h = o + n. What is the greatest common factor of 4 and h? 4 Suppose -4*z + 35 - 3 = 0. Suppose 0 = -5*d + z + 2. Calculate the greatest common factor of d and 4. 2 Let n(h) = h**2 + 0*h**2 + 0*h**2 + 56. Let w be n(0). Suppose -32 = -2*a - f, -14 - 32 = -3*a - f. Calculate the highest common divisor of a and w. 14 Suppose 3*c = -69 + 234. Let x = 0 + 4. Suppose -x*q = 2*t - t - 49, 2*t = 2*q - 12. Calculate the greatest common factor of q and c. 11 Suppose 1 = -4*j + k + 2, k + 2 = 5*j. Suppose 86 = f - 4*c + 2*c, -c + j = 0. What is the highest common divisor of f and 8? 8 Let p = 133 + -45. Suppose 12*r + p = 13*r. What is the highest common divisor of 11 and r? 11 Let m = -19 + 14. Let n be 1 - (4 + m + -6). Calculate the highest common factor of n and 4. 4 Let k(y) = -y**3 + 5*y**2 + 7*y - 7. Let h be k(6). Let b = h - -4. Let f = -2 + b. What is the greatest common divisor of 5 and f? 1 Suppose -40*u + 28 = -36*u. Calculate the greatest common factor of u and 35. 7 Let y = -5 + 15. Calculate the highest common factor of y and 110. 10 Suppose 1 = 2*j - 15. What is the greatest common divisor of 64 and j? 8 Suppose 0 = -l - 5*z - 19, 0 = 5*l + 5*z - 2 - 3. Calculate the greatest common factor of l and 2. 2 Suppose 0 = n + 25 - 77. Suppose 0 = -a - 0*a + 2. Suppose a*p + 2*p - 52 = 0. What is the highest common factor of n a
{ "pile_set_name": "DM Mathematics" }
Which is smaller: t or g? t Let t be (3/5)/((-2)/(-20)). Let g be (2/(-6))/(t/45). Which is bigger: g or -2? -2 Let s = -3 - -6. Let p = s + -3.1. Do p and 0.3 have different values? True Let n = -1/19 - 93/38. Does 2/7 = n? False Let v be ((-4)/294)/(0 + (-9)/(-27)). Do v and -4 have different values? True Let k be (1*2)/(2 + 0). Let j = -7.544 + -0.156. Let g = j - -8. Is g less than k? True Let m be (-32)/(-240)*6/(-56). Is -1 smaller than m? True Suppose -7*c = -6*c. Which is smaller: c or 2/607? c Let v be 15 + 0 + -3 + 1. Let u = -12 - -11. Which is smaller: u or v? u Let p = -44/711 - -252715/73944. Let f = p + -42/13. Let n = 35 - 35. Which is greater: f or n? f Let u = 99 - 101. Which is greater: 0 or u? 0 Suppose l + 16 = -58. Is -73 less than l? False Suppose -28 + 127 = 11*k. Which is smaller: k or 1/7? 1/7 Let q = -2.07 + 0.07. Do q and 0.03 have the same value? False Let y = -3 - 1. Suppose 10 = 4*z - 22. Let j be z/y + (-1 - -2). Is 1/4 > j? True Let v = -2.77 - -2.67. Let j be (6/20)/(6/(-5)). Which is greater: v or j? v Let a be 4*11/16 + -3. Which is greater: a or 1? 1 Let r = 4 - 28. Are r and -24 non-equal? False Let d = 225 - 14629/65. Which is greater: d or 0? 0 Let d(z) = z**2 - 4*z + 4. Let t be d(4). Let n(o) = o + 4. Let a be n(t). Let s be 2/a + (-7)/28. Is s <= -1/5? False Let f = -0.9 - -1. Let k = -34 + 59. Let z = -101/4 + k. Which is smaller: z or f? z Let f be (-32)/14 + (-2)/(-7). Let z be 2/(-3)*(-6)/f. Let w(q) = -q + 2. Let k be w(5). Is z at least k? True Let v be 4/2 + (-16)/(-40). Is v smaller than 1? False Let z = 97/12 - 1075/132. Is z <= 1? True Let z = -0.9 + 1. Is z >= 13? False Suppose h + 0 = -4, 4*v + h = 244. Which is smaller: 61 or v? 61 Let c = 39 - 36. Are 1/5 and c equal? False Let g = -6.1 + 0.1. Let a = 5 + g. Which is bigger: 2 or a? 2 Let u be (-32)/(-30)*(-6)/4. Are -3 and u equal? False Suppose -3*q - 3 = -a - 2, -3*q + 1 = a. Is 3/26 at most q? False Let t = -101 - -100. Is 1 < t? False Suppose 0 = 5*t + 10, -5*v - 5*t + 4 = -2*t. Suppose 3*n + v - 8 = 0. Suppose -n*a = -0*a. Which is smaller: a or -2? -2 Let u be 1/(3 + (-624)/207). Let p be 10/35 + u/168. Which is greater: p or -2? p Let s = -115 - -116. Is 5/8 greater than or equal to s? False Let z(f) = -f**2 - 14*f - 13. Let u(y) = -y - 1. Let o(n) = -6*u(n) + z(n). Let p be o(-7). Let d be 2 + -2 + (-2)/9. Which is bigger: p or d? p Let s be 1 - 3/(-1*3). Let u be (2/(-28))/(s/3820). Let p = -137 - u. Is p less than or equal to 2/7? True Let d(m) be the first derivative of m**3/3 - 3*m**2/2 + 2*m - 3. Let v be d(2). Which is smaller: 1/12 or v? v Let n = -17 - -32. Let l = n - 16. Which is greater: l or 4? 4 Let q = -12 + 16. Suppose -7 = s - q. Let n be 2/5 + 24/(-10). Is n >= s? True Suppose -3*u + 192 = 5*u. Is u equal to 24? True Let n(h) = -h**3 + 2*h**2 - h. Let l = 5 - 3. Let w be n(l). Let d be (1/(-2))/(2/4). Which is smaller: w or d? w Suppose f + 4 + 3 = 0. Let w be 2/f + 20/21. Let v = 0.07 + -1.07. Which is smaller: w or v? v Let o = -33.4 + 33. Is o smaller than -2/3? False Let u(s) = -s**3 - 3*s**2 + 5*s + 4. Let m be u(-4). Is 1 at most m? False Let w(t) = -t - 7. Let y(v) = -1. Let n(h) = 2*w(h) - 2*y(h). Let f be n(-5). Is f greater than or equal to -4? True Let p be (4 + -2 + 0)*-1. Let h(i) = i + 1. Let x be h(p). Suppose 15 = 5*b - 5*w, 2*b - 53*w = -55*w - 14. Is b != x? True Let c = -5 - -4. Let p = 0.6 - 0.7. Which is smaller: c or p? c Suppose l = -0*l. Is 3/5 > l? True Let r be 2/(-7) - 18/(-63). Which is smaller: r or -1/18? -1/18 Let h be ((-27)/774)/(10/284) + 1. Is 0.1 greater than or equal to h? True Let s be (-12 + 6)*2/3. Let j be -3 - (-2)/s*-6. Is -2 greater than j? False Let w = 32 + -33. Are w and 0.2 nonequal? True Let o(j) = -j**3 - 3*j**2 - 4*j - 3. Let d be o(-2). Suppose 5*m = 46 - 6. Let w = m - 6. Which is smaller: d or w? d Let v = -316/5 - -63. Let z(i) = 2*i + 7. Let s(r) = -r. Let p(d) = -3*s(d) - z(d). Let q be p(6). Which is bigger: q or v? v Suppose 2*c - 2*r = 6, 4*c - 3*r = -6 + 14. Which is greater: c or -6/47? -6/47 Let v = -501967025/105183 - -147949/31. Let a = v + -2/377. Suppose 0 = -5*m - 5 - 0. Is m less than a? True Let k = -10 + 12. Let z be 1/((-30)/3)*k. Is 1 greater than z? True Let a = 2/27251 + -626853/1090040. Let b = -869/8 + 109. Let f = b + a. Is 1 <= f? False Let y be 1/(1 + 0) - 1. Let z be (22/(-4) + 4)/(-6) + 0. Is y less than or equal to z? True Suppose -4 = 2*g, g = 2*s + 2*g + 18. Is s equal to 0? False Let y = 11 + -10. Let m be 56/90 + (-2)/5. Does m = y? False Let r = 6 + -7. Let a = 2 - r. Let w be 3*(-1)/((-2)/2). Is a <= w? True Let y be (-32)/(-48)*(638/4 + 1). Which is bigger: 108 or y? 108 Let v be (-4)/3*(-15)/10. Suppose 0 = z + 5*d + 36, z + v*z + 32 = 4*d. Let w be ((-2)/8)/(6/z). Which is smaller: w or 2? w Let d = -1 + 2. Let u be ((-12)/(-8)*-47)/9. Let t = u + 145/18. Which is greater: t or d? d Let c = 9 - 4. Let r = c - 0. Suppose -1 = -3*g + r*g - z, -g = 3*z + 11. Is -2 < g? False Let m = 53 + -59. Which is greater: 6 or m? 6 Suppose -4*y = 2 + 6. Suppose -4*a + 2*l + 0 = 4, 3*a = 2*l - 3. Which is smaller: a or y? y Let j(d) be the first derivative of -d**4/4 - 2*d**3/3 + 3*d**2/2 - d - 4. Let g be j(-3). Which is bigger: -2/7 or g? -2/7 Let v be (-2)/(-3)*3/(-2). Let y = v + 3. Which is smaller: 1 or y? 1 Let s = -125.4 + 122. Which is greater: s or 1/2? 1/2 Let w(o) = o**2 + 11*o - 9. Let u be w(-11). Does 2/7 = u? False Suppose -5*o = 2*y + 22, -5*y + 2*o - 6*o - 21 = 0. Let p = 0.22 - 0.02. Is y greater than or equal to p? False Let m = -453143463 + 72049453982/159. Let l = 2243 + m. Let t = l + 296/1749. Which is smaller: t or -1? -1 Suppose 1 = q, 4*g + 4*q - 211 = g. Is 68 less than or equal to g? True Suppose -2*l - i - 2 = -6*i, 0 = -5*i. Let d be l/(2 - 3) - 7. Let b be 2/d - 25/(-30). Is b >= 1? False Let d be 63/(-28) - (-2 - 0). Is -0.2 at least d? True Let f = 3.028 - 0.028. Suppose -x - 9 = -2*m, -2*m - 5*x - 7 - 2 = 0. Is m less than or equal to f? True Let g = 78 - 85. Which is smaller: -8 or g? -8 Suppose 0 = -p - 3*p + 12. Suppose h - 3*h + p*r = -5, -5*r + 5 = 0. Let n be (-12)/(-21) + h/(-14). Is -1 < n? True Let u = 1 + 4. Suppose 7*s - u*s = 0. Is s greater than or equal to -1? True Let h = 10 + 0. Let b(d) = d**2 - 11*d + 9. Let f be b(h). Which is smaller: f or 2/19? f Let f = 149608/7 - 21415. Let v = 43 + f. Which is bigger: 1 or v? 1 Suppose 0*l = -6*l. Let h = -3 - -4. Which is smaller: h or l? l Let q = 2555657/36 + -70986. Let m = q - 17/4. Let k be 6/18 - (-1)/(-3). Which is smaller: m or k? k Let u = -18/5 - -1268/355. Which is greater: 0 or u? 0 Let j = -46 - -45.5. Which is smaller: j or 0.3? j Let z = 0.3 + -0.2. Let x = -0.7 - -0.8. Is z >= x? True Let b = 30 + -30. Which is smaller: b or 2? b Let n = 3.4 - 3.61. Let s = n - 0.79. Is s greater than 9? False Suppose 2*m - 4 = 5*w - 0, -4*m = 5*w - 8. Which is bigger: 8/17 or w? 8/17 Suppose g + g - 4*n + 8 = 0, 2*n + 14 = 4*g. Suppose -t = -3*q - g, -4*q + 2*q + 3*t - 4 = 0. Is q greater than -2? False Let y be ((-15)/3)/(1/2). Let v(g) = g**2 - 27*g + 41. Let p be v(25). Is p less than y? False Let r be 2 - 0 - (4 + 1). Let a(m) = -2*m - 3. Let x be a(0). Is r not equal to x? False Suppose 0 = r - 1 - 3. Let i = -4 - -9. Suppose -l - r*s + 20 = -5*l, i = -4*l - s. Is -3 greater than l? False Suppose -f - 4*f + 157 = -4*s, f - 23 = -2*s. Which is smaller: f or 30? f Let l = -537 - -1099/2. Let f = l - 179/14. Do f and -0.3 have the same value? False Let b = -40 - -36. Is b at most as big as -23/5? False Let n(i) = i**2 - 3*i - 2. Let w be n(4). Let t be (144/(-33))/2 + w. Let s = 1 - 2. Are s and t nonequal? True Suppose -3*s + 5*i + 1 + 26 = 0, 4*s - 2*i - 36 = 0. Let v(d) = d**3 - 8*d**2 - 10*d + 10. Let x be v(s). Let o be (-19)/(-35) - 2/5. Is x less than o? False Let v = 25 + -43. Let t = -18 - v. Is t at least as big as 2/29? False Suppose -g - 4 = -0*g. Which is bigger: g or -5? g Let w be 6/(-9)*6/4. Which is smaller: w or 6? w Let l be (-2 + 6/3)*-1. Suppose 4 + 2 = -3*m. Let p(h) = -h**3 - 2*h**2 - h - 2. Let q be p(m). Is l equal to q? True Let j be ((-192)/(-112))/(1/7*-1). Let n = -8 - 3. Is j equal to n? False Let h(a) = -a*
{ "pile_set_name": "DM Mathematics" }
Let q be 6834/15 + (-4)/(-10). Let i be q/45 + (-2)/15. Let w = i + 4. List the prime factors of w. 2, 7 Let w(d) = d**2 - 41*d - 65. What are the prime factors of w(69)? 1867 Let s(p) = p**2 - 2. Let g be 7/(7/2)*1. Let k be s(g). Suppose 4*l - k*l = 14. List the prime factors of l. 7 Suppose 19*o - 45 = 14*o. Suppose -10*v = -o*v - 1. Let q = v - -8. List the prime factors of q. 3 Let f(p) = -14*p + 8*p - 16*p - 3*p. Let r be f(1). List the prime factors of r*(2/(-1))/2. 5 Let u(o) = 414*o - 699. List the prime factors of u(9). 3, 1009 Suppose 4*b - 4 - 16 = 0. Suppose 215 = b*v - 5*s, 3*v + 2*s - 126 = 4*s. List the prime factors of v. 2, 5 Let w be 87/9*(-1 + 4). Let b = 81 - 92. Let g = b + w. List the prime factors of g. 2, 3 Let w(b) = 68*b - 43. List the prime factors of w(8). 3, 167 Let k(h) = -h**3 - 8*h**2 + 8*h. Let b(z) = -3*z**3 - z**2 + z - 1. Let p be b(-2). Let o = p + -26. List the prime factors of k(o). 3 Suppose k = 12 - 7. Suppose -k*d + 52 = -4*j, 4*j + 2 = 4*d - 42. List the prime factors of d. 2 Let u(b) = 13*b**2 - 4*b + 7. Let j be u(7). Suppose -4*w = -11*w + j. What are the prime factors of w? 2, 11 List the prime factors of (-1)/((-2)/3 - 3644/(-5484)). 457 Let v be 4/(-6) - 568/(-24). Let q = v + 8. Let b = q + 6. List the prime factors of b. 37 Let s(n) = 12*n**2 + 11*n - 28. List the prime factors of s(8). 2, 3, 23 Let c(l) = 7*l**2 - 13*l + 9. Let o(w) = -15*w**2 + 24*w - 17. Let x(a) = 7*c(a) + 3*o(a). What are the prime factors of x(10)? 2, 3, 37 Let z(i) = -i**2 - 6*i + 3. Let q be z(-6). Let r = q + 22. List the prime factors of r. 5 Let s(n) = -3*n - 2. Let z be s(0). What are the prime factors of (-99)/(-18) - z/(-4)? 5 Suppose 0 = 3*m - 161 + 35. Let b = 11 - m. Let k = b - -53. What are the prime factors of k? 2, 11 Let b = 10 - 5. Suppose -5*d = -t - 26, -b*d = -4*t - 3*d - 32. What are the prime factors of ((-9)/t)/((-2)/(-20))? 3, 5 Suppose 0 + 40 = -4*r. Let i be r/3*63/(-35). List the prime factors of ((-11)/(-4))/(i/24). 11 Let n = -18 + 18. Let b(i) = -4 - 5*i - 5 + n*i + 3*i. What are the prime factors of b(-12)? 3, 5 Suppose 1277 = 5*l + 3*h, -4*h + 4 = -3*h. List the prime factors of l. 11, 23 Let d(c) = 5*c**3 - 6*c**2 + 5*c - 7. Let x be 0 + 4/(4/3). What are the prime factors of d(x)? 89 Let c(s) = -9*s - 42. Suppose -42 = 3*p + 3*h, -p - h = 3*p + 47. What are the prime factors of c(p)? 3, 19 Let q(m) = -38*m**2 + 4*m + 5. Let w(l) = -l**2 + 1. Let p(f) = -q(f) + 2*w(f). What are the prime factors of p(-1)? 37 Let l(f) = 118*f**2 + 1. Let c be l(-1). Let b = -57 + c. List the prime factors of b. 2, 31 Let d = -45 - -25. Let l be (-16)/(-2) - (d + 23). Suppose p - 288 = -3*p + l*r, -p - 4*r + 93 = 0. List the prime factors of p. 7, 11 Let r(x) = -2*x**2 + 16*x - 17. Let n be r(7). List the prime factors of (1*n/(-2))/((-25)/(-1250)). 3, 5 Let z(j) = -7*j**3 + 3*j + 3. Let w be z(-1). Suppose 0 = -6*u + w*u - 57. What are the prime factors of u? 3, 19 Suppose 0 = -3*y + 9, -x + 3*y + 3 = 3*x. List the prime factors of 350/x + (-8)/12. 2, 29 Let h(v) = -v + 11. Let g be h(9). Suppose g*r = 8 - 0. Suppose 3*x - 98 = -r*f, 4*x - 128 = -3*f - f. List the prime factors of x. 2, 3, 5 Let d = -2467 + 3782. List the prime factors of d. 5, 263 Let o(x) be the third derivative of x**5/60 + 5*x**4/12 - 7*x**3/6 - 2*x**2. Let h be -7*-2*12/(-14). What are the prime factors of o(h)? 17 Suppose 7*l - 6*l = -2*d + 203, 406 = 2*l - 5*d. What are the prime factors of l? 7, 29 Let h = 6890 - 1929. What are the prime factors of h? 11, 41 Let v = -2375 + 7389. What are the prime factors of v? 2, 23, 109 What are the prime factors of -16*((-74)/(-12))/((-2)/6)? 2, 37 Let r(b) = b**3 + 22*b**2 - 34*b + 6. What are the prime factors of r(-23)? 7, 37 Suppose 0 = 5*c - 5*h - 0*h - 2285, -1366 = -3*c + 4*h. What are the prime factors of c? 2, 3, 7, 11 Let q be 8/((-2)/(3 - 2)). Let u(z) = 9*z**2 + 9*z + 19. What are the prime factors of u(q)? 127 Let y(p) = 29*p**3 + 3*p**2 - 13. List the prime factors of y(4). 31, 61 Suppose 15 = 5*l - 5. Suppose -4*z + l*d = d + 7, 21 = 3*z + 3*d. Suppose 2*y - 123 = -3*c, -3*c = y - z*y - 114. List the prime factors of c. 3, 13 Suppose 2*g + z - 37 = -4*z, 0 = -2*g - 3*z + 27. Let l(m) = 2*m + 20 - 4*m + m. List the prime factors of l(g). 2, 7 Let h be (6/(-15))/((-1)/5). Let i be (-170)/(-45) + h/9. List the prime factors of -9*(i/4 - 3). 2, 3 List the prime factors of (1426/115)/((-4)/(-10)). 31 Suppose 0 = 2*s + 105 + 143. Let k = -35 - s. List the prime factors of k. 89 Let f(l) be the third derivative of -l**6/120 + 3*l**5/20 + l**4/12 - 13*l**3/6 + 19*l**2. List the prime factors of f(7). 3, 11 Suppose -65 = -u - 2*p, 0 = u + 3*u - 4*p - 320. Let m = -17 + u. Suppose -2*h - f = -m, -h + 0*f + f = -29. List the prime factors of h. 29 Let z = -61 + 63. Suppose -3*f - 3*o - 2*o + 414 = 0, 3*f + z*o - 405 = 0. What are the prime factors of f? 7, 19 Suppose -w + 568 = 59. Suppose 6*f - w + 101 = 0. What are the prime factors of f? 2, 17 Suppose -68 = 22*l - 18*l. Let n = 63 + l. List the prime factors of n. 2, 23 Suppose -4*c + 18 = 2*o, o - 3 = 3*c - 2*c. Suppose 57 + 69 = c*z. List the prime factors of z. 3, 7 Suppose 15*t - 7*t = 12480. What are the prime factors of t? 2, 3, 5, 13 What are the prime factors of ((-1464)/20)/((-6)/15)? 3, 61 Suppose 5*u = 2*f + 4, 2*f - 4 = -u + 4. Suppose -3*d = -3*l + 906, -f*d + 5*d = l - 305. What are the prime factors of l? 13, 23 Suppose 22*c = 245 + 2109. What are the prime factors of c? 107 Let i(g) = g**3 + 10*g**2 - 13*g + 12. Let c be i(-11). Suppose -b + 3 = 6, -k + 5*b + c = 0. What are the prime factors of k? 19 Let f be (-155)/(-2)*28/(-35). Let p be f/(5 - (6 + -3)). Let w = -16 - p. List the prime factors of w. 3, 5 What are the prime factors of (2 + -1067)/((54/15)/(-18))? 3, 5, 71 Let x be (24/(-14))/((-7)/((-7791)/(-6))). Suppose x = 3*d - 276. List the prime factors of d. 2, 3, 11 List the prime factors of (4 + -9)/((-11)/2937). 3, 5, 89 Let q = -16 + 14. Let y be (5 - 2) + 6/q. Let x = y - -30. What are the prime factors of x? 2, 3, 5 Let y be 673/2 - (-2)/4. Suppose 2*q - 156 = -z + 3*z, y = 4*q + z. What are the prime factors of q? 83 Let k be -1 - ((-4)/(-16) + 33/(-4)). Let q = k + 89. List the prime factors of q. 2, 3 Let r be (-13)/(-26)*(0 - -344). Suppose -4*j = -0*j - r. What are the prime factors of j? 43 Let t be (-4)/7*(154/4)/(-11). Suppose -4*z - y + 358 = -209, t*y = -4*z + 562. What are the prime factors of z? 11, 13 Let f = 53 + -30. Let y = 96 - f. List the prime factors of y. 73 Let m be 0 - ((-93 - -2) + -1). Suppose -164*v = -160*v + 216. Let u = m + v. List the prime factors of u. 2, 19 Let w(y) = -2*y + 5. Let g(h) be the third derivative of h**4/24 - h**3/3 - 3*h**2. Let i(s) = 11*g(s) + 6*w(s). List the prime factors of i(-6). 2, 7 Suppose 19*l - 18*l = 54. What are the prime factors of l? 2, 3 Suppose -10 = -2*g, -j - j - 5*g + 467 = 0. What are the prime factors of j? 13, 17 Let k = 9 - 7. Let y = 26 - 21. Suppose k*p + y*t = 51, 2*p + p - 71 = -2*t. List the prime factors of p. 23 Let d = -872 - -3130. List the prime factors of d. 2, 1129 Let d = 17 + 17. Let v = d - -16. What are the prime factors of v? 2, 5 Let q(p) = -76*p**3 - 2*p**2 - 2*p - 1. Let w be 2 + (1 - (-8)/(-2)). Let t be q(w). Suppose 3*o = -2*o + t. List the prime factors of o. 3, 5 Let h(t) = -5*t - 5. Let p be (12/(-14))/(3/21). Let r be p/(-4) - (-147)/(-14). List the prime factors of h(r). 2, 5 Suppose 12*p + 12270 = 15*p - b, -12282 = -3*p + 5*b. What are the prime factors of p? 3, 29, 47 Suppose -y = -14 - 121. Let d = -78 + y. What are the prime factors of d? 3, 19 Let v be (-2 - (3 + -2)) + 3. Let g be v - (0 + 1 - 4). What are the prime factors of (-127)/(-2) - g/6? 3, 7 Suppose -5*l - 16 = -l. Let g = l - -3. List the prime factors of (-7)/(7/33)*g. 3, 11 Suppose 0 = 3*k - 5*o - 101 + 1, -k + 2*o + 35 = 0. Suppose k = 2*h - 199. What are the prime factors of h? 2, 7 Suppose -4*o + 2*o = -5*r + 48, r + o = 4. Suppose 0 = 13*t - r*t - 35. What are the prime factors of t? 7 Let t(b) be the second derivative of 13*b**3/6 + b**2/2 - 3*b. Let r be t(-1). List the prime factors of (-2 - r/9)*-6. 2 Suppose -2*n = -4*o - n
{ "pile_set_name": "DM Mathematics" }
0.07 Round -69198084.5 to the nearest ten thousand. -69200000 Round -1.0851876718 to 3 decimal places. -1.085 What is -5100363260 rounded to the nearest 100000? -5100400000 What is -0.011802456588 rounded to five dps? -0.0118 Round -137.14076 to the nearest 10. -140 What is 81577.0059 rounded to the nearest 100? 81600 What is 0.70224986 rounded to 4 dps? 0.7022 What is 327810495 rounded to the nearest one million? 328000000 What is -0.000053631129 rounded to five dps? -0.00005 Round 0.0073747827 to four decimal places. 0.0074 Round -9674.018035 to the nearest integer. -9674 Round 0.0141284158 to three dps. 0.014 What is -0.000009360519 rounded to 7 decimal places? -0.0000094 Round -23591290.9 to the nearest one million. -24000000 What is 0.0208256257 rounded to 5 dps? 0.02083 Round 0.2403666691 to 1 dp. 0.2 Round -0.11587454595 to 6 decimal places. -0.115875 What is 0.0000284793149 rounded to 6 decimal places? 0.000028 What is -0.0071710389 rounded to 5 dps? -0.00717 What is 57125.1091 rounded to the nearest 100? 57100 What is 42575.89817 rounded to the nearest 10? 42580 What is 39042256.3 rounded to the nearest one million? 39000000 What is -4.703176082 rounded to four dps? -4.7032 What is 140.301364 rounded to the nearest integer? 140 Round 0.00030481179 to 4 decimal places. 0.0003 Round -0.1151400902 to 2 decimal places. -0.12 Round 5.70130985 to 0 dps. 6 Round 951.466983 to the nearest ten. 950 Round -131761.84 to the nearest 10000. -130000 Round 0.0134483698 to two dps. 0.01 What is 0.0323537841 rounded to 3 dps? 0.032 What is -0.001930145484 rounded to six dps? -0.00193 What is -1778163.55 rounded to the nearest 10000? -1780000 Round -33.28747391 to three dps. -33.287 What is -3895542.496 rounded to the nearest 1000000? -4000000 What is 0.001157426206 rounded to 4 dps? 0.0012 What is -0.0000125972119 rounded to six dps? -0.000013 Round 88.0982899 to two dps. 88.1 What is 28381210.4 rounded to the nearest 100000? 28400000 Round 254795192 to the nearest one hundred thousand. 254800000 Round 0.0000214684105 to 7 decimal places. 0.0000215 What is -0.0000516655422 rounded to 5 decimal places? -0.00005 Round 4113.40416 to the nearest one thousand. 4000 Round 1192.348981 to one dp. 1192.3 What is 0.00022502616 rounded to 5 decimal places? 0.00023 Round 7.879313 to 3 decimal places. 7.879 Round -3909.9081 to 0 decimal places. -3910 What is 0.00235273133 rounded to five decimal places? 0.00235 What is -101262.4353 rounded to the nearest ten thousand? -100000 What is 152642.96388 rounded to the nearest 100? 152600 Round 1081630.8594 to the nearest one hundred thousand. 1100000 What is -4874099700 rounded to the nearest one million? -4874000000 What is -173448471 rounded to the nearest ten thousand? -173450000 What is 535.574226 rounded to the nearest ten? 540 Round 5520.1965 to the nearest 100. 5500 What is -18624364.5 rounded to the nearest 100000? -18600000 What is -41516.4668 rounded to the nearest 100? -41500 Round -9404031.2 to the nearest 1000000. -9000000 What is -0.0059726193 rounded to four dps? -0.006 What is 3031453470 rounded to the nearest one million? 3031000000 What is 0.000100584498 rounded to five decimal places? 0.0001 What is -11381.66726 rounded to the nearest one thousand? -11000 What is 17676074.8 rounded to the nearest one million? 18000000 What is 11.2736989 rounded to three decimal places? 11.274 Round -0.001367273654 to 6 decimal places. -0.001367 What is -0.000053004477 rounded to 5 dps? -0.00005 What is -0.07050857892 rounded to 2 decimal places? -0.07 Round 0.0005351652296 to 6 dps. 0.000535 Round -91.8039311 to the nearest 10. -90 What is 498.37761 rounded to 1 dp? 498.4 Round 3433399.425 to the nearest 10000. 3430000 Round 205.640247 to one dp. 205.6 What is 0.00007803304 rounded to 5 decimal places? 0.00008 What is -1.2687403 rounded to one dp? -1.3 Round -55.8909813 to two decimal places. -55.89 Round -0.320961419 to 2 dps. -0.32 Round -58473.4139 to the nearest one hundred. -58500 What is 36407.9671 rounded to the nearest 10000? 40000 What is 726.357024 rounded to the nearest ten? 730 Round -0.00012113970424 to 6 decimal places. -0.000121 Round -1073733.711 to the nearest 10000. -1070000 What is -0.0005573267672 rounded to 6 dps? -0.000557 Round -0.144786482 to five dps. -0.14479 What is 0.0131050686 rounded to five decimal places? 0.01311 What is -327.9938028 rounded to 2 dps? -327.99 What is 327.5416783 rounded to two dps? 327.54 What is -7.63124528 rounded to one dp? -7.6 What is -0.000002511695678 rounded to seven dps? -0.0000025 What is 14323890.38 rounded to the nearest 1000? 14324000 What is -2466804.6 rounded to the nearest 10000? -2470000 What is 0.020032563 rounded to six dps? 0.020033 Round 364033.4056 to the nearest 10. 364030 Round 0.00206089569 to 5 decimal places. 0.00206 What is -326.028371 rounded to the nearest 100? -300 What is -534838.581 rounded to the nearest one hundred? -534800 What is -0.134598909 rounded to 2 dps? -0.13 Round -392803.55 to the nearest one hundred. -392800 What is -1152411.332 rounded to the nearest one thousand? -1152000 What is -15482792.06 rounded to the nearest 1000000? -15000000 What is 0.0000003375658 rounded to 5 dps? 0 Round 0.0534277619 to 5 dps. 0.05343 What is -0.00036807415 rounded to 7 decimal places? -0.0003681 Round -88373038 to the nearest one hundred thousand. -88400000 What is -225921.68 rounded to the nearest ten thousand? -230000 What is -0.00607518 rounded to 5 decimal places? -0.00608 Round 759594.04 to the nearest one thousand. 760000 Round -110279.19549 to the nearest one hundred. -110300 Round 546.876305 to 1 decimal place. 546.9 Round 0.02548640122 to 3 dps. 0.025 Round -0.605512094 to 2 dps. -0.61 What is 51227092 rounded to the nearest ten thousand? 51230000 Round -0.0006517111 to 4 dps. -0.0007 Round 4518027.012 to the nearest 100. 4518000 What is 2.6935711 rounded to 4 dps? 2.6936 Round 1523167.472 to the nearest 100. 1523200 What is 0.00088811249 rounded to four dps? 0.0009 What is 0.0117239208 rounded to 4 dps? 0.0117 What is 0.0059167451 rounded to 3 dps? 0.006 Round -1257420.7828 to the nearest ten thousand. -1260000 Round 715437.943 to the nearest one hundred thousand. 700000 Round 0.000619997007 to 5 dps. 0.00062 What is 0.162075473 rounded to 2 dps? 0.16 Round -3.44960748 to three dps. -3.45 What is -1206.449104 rounded to zero decimal places? -1206 What is -1.220809778 rounded to three dps? -1.221 What is 87977064.5 rounded to the nearest 10000? 87980000 What is -0.001049195469 rounded to four decimal places? -0.001 Round 186927.1788 to the nearest 10. 186930 Round -123.829164 to 1 dp. -123.8 What is 0.04680833409 rounded to three dps? 0.047 Round 727.9669 to the nearest integer. 728 What is -28023168.2 rounded to the nearest one thousand? -28023000 Round 0.000897897664 to four decimal places. 0.0009 What is 2880131009 rounded to the nearest 1000000? 2880000000 What is 558683.255 rounded to the nearest one hundred? 558700 Round 0.0025055444 to seven dps. 0.0025055 Round 0.00028158309 to 6 dps. 0.000282 Round -348.350919 to 1 decimal place. -348.4 What is -2.3442788 rounded to two dps? -2.34 What is 65808.077 rounded to the nearest 10? 65810 What is -5.715350122 rounded to the nearest integer? -6 Round 5772423.7 to the nearest one hundred thousand. 5800000 Round -0.00711771161 to three dps. -0.007 What is 732.24247 rounded to 1 dp? 732.2 What is -350274.104 rounded to the nearest 100000? -400000 What is 9409.28748 rounded to the nearest 1000? 9000 Round -77871.857 to the nearest 1000. -78000 Round 95.02775254 to 3 dps. 95.028 What is 0.85313513 rounded to 1 dp? 0.9 What is 0.267567114 rounded to five decimal places? 0.26757 Round -8395722.1 to the nearest 1000000. -8000000 Round -6.601778731 to four decimal places. -6.6018 Round 11394.4752 to 0 dps. 11394 Round 0.000154417394 to five dps. 0.00015 What is 1.93599565 rounded to four decimal places? 1.936 What is -895.007733 rounded to the nearest 100? -900 What is 1.058056605 rounded to 1 decimal place? 1.1 What is 702573.608 rounded to the nearest 1000? 703000 What is 894613.3969 rounded to the nearest 100000? 900000 What is 116155637 rounded to the nearest ten thousand? 116160000 W
{ "pile_set_name": "DM Mathematics" }
on denominator of y(-15) and k. 9 Let c = 9 + 86. Let j = c - 67. Suppose -5*m + 67 = -33. What is the lowest common multiple of j and m? 140 Suppose -5 - 85 = -5*v. Calculate the lowest common multiple of (10/(-3) + 0)/((-2)/42) and v. 630 Let c(i) = 2*i**3 - 31*i**2 - 17*i + 21. What is the smallest common multiple of 29 and c(16)? 145 Find the common denominator of (-555)/40*(8 - (-174)/(-21)) and (-526)/(-48) - 4/12. 56 Let a = -6461638463/11750570 + 2/1175057. Let h = -551 - a. Let i = 2/743 - -55717/2972. Find the common denominator of h and i. 20 Let n = 690 - 672. Calculate the lowest common multiple of n and 58. 522 Let k = -20 - -40. Suppose m + 16 = 3*m. Let i(y) = y**2 - 5*y - 8. What is the least common multiple of k and i(m)? 80 Suppose -3*g + 0*g - 3*c + 21 = 0, 5*c - 25 = -4*g. Let u = -138 - -140. Calculate the smallest common multiple of u and g. 10 Let p = -17 - -80. Let o be 18/p + (-131)/(-7). Let f = 27 - o. Calculate the smallest common multiple of f and 10. 40 What is the lowest common multiple of 36 and (-1 + 2/(-6))/(6/(-108))? 72 Let r be (-424498)/(-37680) + 6/18. Let p = r - -1/1256. Calculate the common denominator of p and -3 + -1*44/20. 5 Let t = -110 - -122. Calculate the lowest common multiple of t and 32. 96 Suppose 0 = w + 6*w + 119. Let m(n) = -n**2 - 16*n + 22. Let c be m(w). Suppose f - c + 2 = 0. What is the smallest common multiple of 10 and f? 30 Find the common denominator of (36 - 42)*((-69)/(-81) + 0) and 3/79. 711 Let f = -398189 - -109102273/274. Let a = 3/137 + f. Find the common denominator of a and 47/12. 12 Suppose 3*r - 7 + 1 = 0. Let m be (r/6)/(8/48). Suppose -12 = -z - m*a, 3*z + a = -z + 76. What is the smallest common multiple of 14 and z? 140 Let o(d) = d + 14. What is the lowest common multiple of 2/(2/(-28)*(0 + -1)) and o(-8)? 84 What is the least common multiple of (-38790)/(-990) + -1 + 9/11 and 66? 858 Suppose -11*f = -27 - 39. Calculate the least common multiple of f and (-36)/(-10)*(3 - -2). 18 Let s be 62786 - (3 - -2 - 10). Let q = 3767359/60 - s. Let y = 3345/284 + -2/71. Calculate the common denominator of q and y. 60 Let x be 3/((-9)/(-5))*226/(-45). Let a = x - -6679/756. Calculate the common denominator of -97/12 and a. 84 Let g(z) be the first derivative of z**3/3 + 9*z**2/2 - 6*z + 38. What is the lowest common multiple of 3 and g(-12)? 30 Let p(o) = 2*o**2 + 27. What is the least common multiple of p(0) and 33? 297 Suppose -3*p = -7*p - 3*k + 243, 2*p - 123 = -k. Calculate the common denominator of (-3)/27 + (-194)/p and 282/(-140) - 2/7. 210 What is the common denominator of -71/60 and (-1327)/3366 - (11 + 1107/(-99))? 3060 Let x = 3319 + -2908. Calculate the least common multiple of x and 8. 3288 Suppose 3 = -12*w + 15*w. Let s(d) = 8*d**2 - 7*d + 8. What is the smallest common multiple of 8 and s(w)? 72 Let a = 2806 - 8492/3. Let p = -450575 - -4045736/9. Let n = p + 1056. What is the common denominator of n and a? 9 Let v be 24/(-612)*1/(-53). Let q = v + 116221/10812. Calculate the common denominator of -23/5 and q. 20 Let s(a) = 75*a**3 + 2*a**2 - 1. Let c be s(-1). Let g = 237/2 + c. Calculate the common denominator of g and ((-402)/(-8))/(9/(-6)). 2 Suppose -105 = -5*r - 3*x, 2*x + 87 = 3*r - x. Find the common denominator of 51/2 and (-9)/60*r*2. 10 What is the common denominator of (-139)/(-24)*-1 + 45/36 and -121/12? 24 Let u be 3*1 + 780432/163072. Let x = -1/10192 + u. Find the common denominator of x and 97/38. 266 Let r = -25409/18974 + 390/179. What is the common denominator of -27/2 and r? 106 Let w = -316/23 - -32434/2277. Find the common denominator of 40/11 and w. 99 Let d = 21 - 25. Calculate the common denominator of (-3 + (-99)/(-6))/(-21) and d/30 - (-6111)/270. 14 Let t = 815/238 - -39/34. What is the common denominator of t and 143/6? 42 Suppose -3*p - 84 = -0*p. What is the common denominator of 34/11 and (-676)/(-210) - (-8)/p? 165 Suppose 137*h + 270 = 142*h. What is the lowest common multiple of 60 and h? 540 Let j = 1501 - 1212. Calculate the smallest common multiple of 4 and j. 1156 Let r(y) = -y**2 - 12*y - 23. Let i be r(-9). What is the lowest common multiple of i/(-5) + (-1778)/(-35) and 6? 150 Suppose 4*z - 14 - 74 = 0. Let x(p) = p**2 - 19*p + 78. Calculate the least common multiple of z and x(5). 88 Let t = -703 - -704. Let v(w) = w - 4. Let l be v(4). Let q = l + 1. What is the lowest common multiple of t and q? 1 Suppose -c = -163 + 74. Let y be 3*((-39)/(-9) - 1). Find the common denominator of c/y + 3 - 0 and -67/6. 30 Let u(k) = -k**2 - 34*k - 17. Calculate the least common multiple of 182 - (0 - 1 - -1) and u(-33). 1456 Let z be 1 + (3 - (-1640)/1015). Let f = 36/29 + z. Find the common denominator of 5/11 and f. 77 Suppose 0 = -2*m + 5*a - 451, 0 = 5*m - a - 2*a + 1137. Calculate the common denominator of -3/4 and (9/m)/((-6)/356) + 0. 76 Suppose -3*v + 192 = -v. Calculate the common denominator of (2044/v)/(-7) + -1 and 119/18. 72 Let l = 10/751 + -29869/2299562. Let w = -208219/9186 + l. Find the common denominator of 49 and w. 3 Let m = -895961/108 - -8296. What is the common denominator of 101/132 and m? 1188 Let g(t) = -t**3 - 9*t**2 - 4*t + 6. What is the lowest common multiple of 60 and g(-9)? 420 Suppose h + 1 = s, 3*s = 5*h - s. Suppose -4*w - h = -5*w. Find the common denominator of (-18)/(-12) + 11/w and 41/14. 28 Let g(t) = -14*t**2 - 1 + 7 + 12*t + 15*t**2. Let k be g(-12). Suppose -12 = -o - k. Calculate the least common multiple of 10 and o. 30 Let q = 44315 + -2924935/66. Find the common denominator of -11/3 and q. 66 Let s be (-4337)/(-4) + -2 + 1. Let y = -1767 + 675. Let v = s + y. What is the common denominator of v and -35/3? 12 Suppose -g = 3*g + 24. Let j = -3 - g. Suppose 0 = -4*c + 5*d - d + 28, -d - 19 = -j*c. What is the least common multiple of c and 1? 6 Let l be (16/(-28))/(10/35). Let p be 280/15*(-1 + l). Calculate the common denominator of (-270)/p - 17/(-68) and 59/4. 28 Let f(q) = q + 17. Let a be f(-14). Suppose -3*g + a + 33 = 0. Let v = 1 - -9. Calculate the lowest common multiple of g and v. 60 Let s(a) = a**3 + 9*a**2 + 10*a + 2. What is the lowest common multiple of 3 and s(-7)? 30 Let n(v) = 19*v + 21. Calculate the lowest common multiple of 30 and n(6). 270 Calculate the smallest common multiple of (-5)/12*-4 + (-3)/(-9) and (0 - (0 - -1))*-10. 10 Suppose 7*c + 13 = 55. Calculate the smallest common multiple of 1 and c. 6 Suppose -2*p - k = -50, 0 = -2*p + 4*k + 49 - 19. Calculate the lowest common multiple of p and 23. 23 Calculate the common denominator of (-10281)/184*(-8)/18 and 9/38. 114 Suppose 0 = -2*y + 5*y - 6. Let n be -2*(-24)/64 + 327/(-4). Let j = 91 + n. Calculate the smallest common multiple of y and j. 10 Let f(g) = -g**3 - 6*g**2 - 7*g - 2. What is the lowest common multiple of f(-5) and 13/5 + 32/80? 24 Let f = 6571/810 + -1/810. Find the common denominator of -35/4 and f. 36 What is the smallest common multiple of -1*(-3 + 1 + -1) and 0 - 2 - 39/(-3)? 33 Find the common denominator of 11/(5852/2872) - (-2 - -7) and 10/133. 133 Suppose -4*g + 3*s + 37 = 0, -3*g - 2*s = -4*s - 29. Suppose -g*f + 16*f - 27 = 0. Calculate the least common multiple of 19 and f. 171 Let t be 121886/(-2) + (1 - -1). Let s = t - -87464. Let v = -477281/18 + s. Find the common denominator of -37/20 and v. 180 Let j = -93 - -280. Find the common denominator of -37/16 and 10/((-10)/3) - j/(-18). 144 Let r = 19/471 + 30083/13188. Calculate the common denominator of r and -37/84. 84 Let o be (-4 - (-72)/20) + (-28)/5. Find the common denominator of -137/18 and ((-1)/o)/(5/(-335)). 18 Suppose -s + 8*l = 3*l - 31, -5*l = 25. Suppose 0 = -i + n + 6, 4*i - 18 = -3*n + s. What is the lowest common multiple of 4 and i? 12 Let c = 22 - 14. Suppose i - 5*k - 26 = 0, c*k = 4*k - 12. What is the smallest common multiple of i and 9? 99 Let y be (3145/10)/(7 - 0). Let i = 13231/280 - y. Find the common denominator of i and -43/50. 200 Let q(t) = 2*t**3 - 22*t**2 + 3*t - 23. What is the smallest common multiple of q(11) and 5? 10 Suppose w + 4 - 5 = 0. Suppose s = w + 5. Suppose 2*y + 0 = 22. What is the least common multiple of y and s? 66 Calculate the common denominator of 2/11 and ((-24)/(-210))/
{ "pile_set_name": "DM Mathematics" }
he tens digit of 586038? 3 What is the hundred thousands digit of 21114546? 1 What is the tens digit of 592110? 1 What is the ten thousands digit of 173915? 7 What is the ten thousands digit of 560117? 6 What is the tens digit of 544929? 2 What is the thousands digit of 874421? 4 What is the ten thousands digit of 113747? 1 What is the units digit of 2084326? 6 What is the ten thousands digit of 23703482? 0 What is the units digit of 1031304? 4 What is the units digit of 1723218? 8 What is the ten thousands digit of 27047? 2 What is the hundreds digit of 129211? 2 What is the hundreds digit of 8958688? 6 What is the tens digit of 6812775? 7 What is the ten millions digit of 11101240? 1 What is the ten thousands digit of 170682? 7 What is the thousands digit of 85191? 5 What is the ten thousands digit of 2750997? 5 What is the thousands digit of 3205063? 5 What is the tens digit of 3060253? 5 What is the tens digit of 909850? 5 What is the hundred thousands digit of 664884? 6 What is the tens digit of 648871? 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{ "pile_set_name": "DM Mathematics" }
Suppose 0*g + 12 = u*g. Solve -g*s - 3*w - 11 = -3*s, 5*w + 24 = -4*s for s. -1 Let j(m) = -m**2 - 11*m + 3. Let k = -70 - -59. Let x be j(k). Solve p = -q - 4, x*q - p + 3*p + 7 = 0 for q. 1 Let c = -524 - -527. Suppose -18*f = -20*f - c*w, -22 = -4*f + 5*w. Solve -x = -3*s + 10, -f = -s - 0*s for x. -1 Suppose -b = -0*g + 5*g - 11, -4*b = -7*g + 10. Solve 3*m + g = 2*u, 2*m - 81 = 3*u - 89 for m. 2 Let n(z) = z**2 + 3*z - 4. Let y be n(1). Let j = -7 - y. Let d be (-24)/j - (-3)/42*-6. Solve 5*s - 15 = -p, -3*s + 2*s + d*p + 3 = 0 for s. 3 Let h = -143 + 152. Let k(i) = -i**3 + 9*i**2 - 3*i + 31. Let m be k(h). Solve m*p = -10*d + 5*d - 37, 0 = -2*d - 10 for p. -3 Let c = -21224 - -21227. Solve -5*b = -w - 14, 0 = -c*b + 11*w - 15*w - 10 for b. 2 Let u be 125 + (7 + -1)*(35/(-30) - -1). Solve -3*k + 5*x + 30 = 0, k - 119*x + 10 = -u*x for k. 5 Let r(i) = -2*i**2 - 12*i - 1. Suppose 4*h = 2*h - 4*v + 2, -4*h - 11 = 3*v. Let x be r(h). Solve 0*y - 4*y = -3*p + 1, 3*p - x = 0 for y. 2 Let a be -2 - (-14*3/(-3))/(-1). Suppose 0 = -2*v - 2*b + 4, -a = -5*v - 4*b + 1. Solve -m + 5*m = 4, -2*m + 22 = -v*y for y. -4 Let p = -105180 - -105180. Let b = -10 - -16. Solve 4*s + 4*k - 32 = p, b*s - 3*s - k - 12 = 0 for s. 5 Suppose m + 2*m - 12 = -2*s, 4*m - 5*s + 7 = 0. Suppose m = -2*k + 6. Suppose 50 = 57*a - 47*a. Solve -a*o - 3 = k*r + 2, 0 = -4*o + 5*r + 29 for o. 1 Suppose 689816*s - 689897*s + 486 = 0. Let l be (-12)/(-7) - 4/(-14). Solve -3*k + 11 = 4*o + 42, l*k - s = 4*o for o. -4 Suppose 2054*h + 73 = 2061*h - 151. Solve -3*p - 2 = 5*t, 30*t - h*t = 2*p for p. 1 Suppose 4*u = -5*h - 6 + 1, -7*u + 25 = 2*h. Solve y + 4*i = 5*y - 4, u*y + 11 = i for y. -3 Let s be 17 + 1 + (0/(-1))/1. Suppose -2*q - 2 = -s. Suppose 0 = -4*a + 17 + 3. Solve -a*w - 17 = 5*g + q, 0 = w - 2*g - 7 for w. -1 Let z(p) = -2*p**2 - 140*p - 1093. Let x be z(-61). Solve x*m + 22 = 3*n, 2*m - 4*n = -9*n - 15 for m. -5 Let i = -158 - -152. Let x be 4/i*(11 - 17). Solve -5*o + 5 = -x*l, 3*o = -3*l - 0 + 3 for l. 0 Let z(h) = -2*h**2 + 9*h + 7. Let k be z(5). Suppose 6*d = 5*s + 7*d, 0 = k*s + 2*d. Suppose 3*w = -s*w + 12. Solve n + 5*l + 5 = w*n, 3*n = 3*l - 3 for n. -5 Let f = 6348 + -6343. Solve -4 = f*t + 3*c + 1, 0 = 4*c for t. -1 Suppose 92*r - 60 = 87*r. Let z(v) = 26*v. Let n be z(1). Let k be n/8 + r/16. Solve -6*l = -2*l + y + 14, 4 = -3*l - k*y for l. -4 Let z be (-28)/42 + 44/57 - (-324)/171. Solve 9 = -5*x - c - 1, 4*c = -z*x + 14 for x. -3 Suppose f - 3 = 2. Let r be 2/(-7) + 810/42 + -8. Let u be (5 - 0) + (9 - r). Solve 0 = -4*p + 4*o + 28, 17 = f*p + 4*o - u*o for p. 4 Let v = -189 + 185. Let o be v - (-14 + 12)*(5 - -2). Solve 4*k - 25 = -6*p + p, 3*k = -2*p + o for k. 0 Let v = 39868 - 39739. Solve v*o + 25 = 124*o - 5*r, 3*o - r = -15 for o. -5 Let h(r) = r**3 - 7*r**2 + 9*r - 1. Let p be h(6). Let f be (47 - 61) + -5 + 24. Let l = -11 + 16. Solve -f*w + q = -4, 3*w = 3*q + p - l for w. 0 Let b(m) = m**3 - 11*m**2 + 7*m + 14. Let t be b(10). Let y be ((-2)/(-2))/(t/(-720)). Let x = 50 - y. Solve 8 = x*j + n, -4 = -4*j - 3*n - 2 for j. 2 Let b be 1515/35 - (-6)/(-21). Suppose -b*t - 8 = -45*t. Solve -5 = q + 3*x, 5*q - x = t*q - 1 for q. -2 Suppose 3*z + 5*n = -z + 37, 5*z - 36 = 4*n. Let i be 56/6*(-486)/(-1134). Solve -3*r + 7*r = i*y - z, 3*r = -4*y + 15 for y. 3 Let t = -15445 - -15456. Solve -3*j = -5*v - 9, t*v - 10*v = -3*j + 9 for j. 3 Suppose 0 = -16*a + 21*a - 20, -2*h = -5*a + 16. Solve -5*v + 2*m - 4 + h = 0, 1 = m for v. 0 Suppose 12*x - 1165 = 251. Suppose 0 = 4*f + 38 - x. Let j be 2*(-9)/((-45)/f). Solve -b + 4*n = 29 - 9, -b - j = -n for b. -4 Let r = 9999 + -9987. Solve -2*g - 2 = -5*d, 7*d - r*d = g - 14 for g. 4 Let u = -8 - -10. Let y(v) = v**3 - 62*v**2 - 1441*v + 83. Let c be y(80). Solve -u*n - t = n + 2, c*t = -3*n for n. -1 Let f(t) = 7*t**3 + 1. Let a be f(-1). Let k be 1 - a/(1 - -2). Suppose -11*d + d + 40 = 0. Solve 4*g = -k*m, 24 = -d*g + 4*m - 4 for g. -3 Let f be ((-35)/(-21))/(1/3). Let t be 432/96*(-2)/(-3). Suppose -f*q + t*q = -10. Solve 0*x = -q*s - 4*x - 37, -21 = 3*s + 2*x for s. -5 Let c = -4 + 9. Suppose 2*k + c*s = 5, -2*k + 3*s + s = 4. Solve 3*n - 3*t + 6 = k, -4 = 2*n + t + t for n. -2 Let w = -2057 - -2060. Solve 3*y - 2*s - 36 + 18 = 0, -s - w = 0 for y. 4 Let g be (-54)/(-297) - (-3362)/22 - 2. Suppose 162*l - 22 = g*l. Solve 2 = -5*b - 2*h - l, -2*b = 3*h + 6 for b. 0 Let r(k) = k**2 - 55*k + 752. Let a be r(30). Solve s = -10*m - 44, -5*s - 18 = -a*m - 6 for s. -4 Suppose -2*v + v = -3*y, 0 = v. Let g(n) = 299*n - 877. Let h be g(3). Suppose 0 = -3*x + x. Solve m = x, y*q + 3*m = -5*q - h for q. -4 Let z be (14 + -4)*(-54)/(-135). Solve o = -5*q - 2*o - 2, -z*q - 1 = 3*o for q. -1 Suppose -281 = -167*j + 53. Solve 0 = -j*f - 6, 3*f = -0*l + 3*l - 18 for l. 3 Suppose 2*h + 14 = 4*h. Let r = h - 4. Let o be 18/11 + (-56)/(-154). Solve -k - r = 0, o*w + 3*k = -5 - 4 for w. 0 Let o = 178 - 180. Let u be ((-7)/o - 3)/(4/32). Solve t + 4*i = -i + 7, -u*t - 18 = -3*i for t. -3 Suppose -z - 1 + 3 = 0. Let f be 81240/38589 - (112/342 + (-4)/18). Solve 0 = -3*t + 12, -z*x - f*t = -7*t + 18 for x. 1 Suppose 0*j - 20 = -10*j. Let z(b) = 2*b - 4 - b - b**3 + 15 - 8*b**j. Let a be z(-8). Solve d = -l - 0*l + 2, -l + a*d - 2 = 0 for l. 1 Suppose 0 = 3*r - 9, -215 = -4*m + 4*r - 23. Let v = m + -43. Let s be (-594)/(-88) + (-6)/v. Solve 0 = -x + s*x - 15, x + 5 = -4*l for l. -2 Let o(s) = s**3 + 10*s**2 - 8*s + 38. Let g be o(-11). Suppose 3*h + 10 = -5*m, -2*h + 4*m = -g*h - 8. Solve 5*z - 8 = -4*u + z, h = -3*u + z + 10 for u. 3 Suppose 0 = 73*w - 80*w + 210. Suppose 7*j - w - 5 = 0. Solve 6*m = m + 5*u - 5, j*m + 3*u = -21 for m. -3 Suppose -2*q + 31*q = -435. Let f be (6 - -1)/(-10 + (-155)/q). Solve 5*j = g + f, 0 = g - 4*g - 3 for j. 4 Let s(l) = 4*l**2 - 24*l - 230. Let o be s(-6). Solve -32 = 5*f + 3*m, 4*f + 2*m + o = 34 for f. -4 Let y(a) be the third derivative of 4*a + 0 + 23/2*a**3 + a**2 - 1/6*a**4. Let z be y(16). Solve c = -z*w + 12, -2*w + 16 = 3*w + 3*c for w. 2 Let u be -4 + (1 - 7) + 14. Suppose 12 = 3*n, -f + u = -4*n + 19. Solve 7 = 4*j - g - f, 5*j - 25 = 5*g for j. 1 Suppose 5*h + 1435 = -5*p, 2*p - 5*h = -2*p - 1193. Let n = -288 - p. Solve -u + 4*u = -n*x, -3*u - x = -9 for u. 4 Suppose -5*o - 76 = l, -2*o - 76 = -2*l + 3*l. Let x = l - -98. Solve 2*g + 4*c - x = 0, -2*c + 16 = 2*c for g. 3 Let i(a) = -24*a**2 - 5*a - 14. Let p be i(-2). Let f = p - -128. Solve -4*o + 2*s - f = 0, 3*s = 3*o - 0*s + 27 for o. -5 Let m(o) = o**2 + 154*o - 930. Let v be m(-160). Solve 32*k - v*k + 2 = 5*l, 1 = l - k for l. 0 Suppose 0 = 10*o - 11*o + 3*q - 7, 4*q = -2*o + 16. Solve -o*x = -7*x + 4*y + 17, -5*y = -2*x for x. 5 Let q = 1668 - 1664. Solve -o + q*y + 19 = 0, o + 3*y = 33 - 42 for o. 3 Let h(r) = r**3 + 14*r**2 - 33*r + 11. Let i be h(-16). Suppose 6*g + i = 15*g. Solve -5*f = 5*y, -g*f + 3*y = 4*y for f. 0 Let i(s) be the third derivative of s**6/120 + s**5/6 - s**4/12 - 47*s**3/3 - s**2 + 82*s. Let y be i(-9). Solve 2*h = 2*f + 6, -y*f = -3*h - f + 8 for h. 4 Let i = -3755 + 3758. Solve -17*x + y - 4 = -16*x, -4 = -i*x - y for x. 0 Let c be (9 + (-450)/(-40))/(5/(160/12)). Solve k + 16 = -4*q, q - k - c = -58 for q. -4 Let q(p) = 2*p**2 - 2*p + 78. Let i be q(7). Suppose 0 = 37*s - 10*s - i. Solve s*z - 3*z - 8 = -5*v, -5*v = 5*z for z. -4 Suppose -430*c = -431*c + 279. Let u = -279 + c. Solve u = 3*m - 5*v + 25, 2*m - v + 6*v = 0 for m. -5 Let w(b) = 70*b - 5. Let s be w(1). Suppose 0 = 3*q - 4*q - 60. Let t = q + s. Solve 5*z + 5*c - 15 = 0, t*c + 25 = 5*z - 0*c for z. 4 Let k be 4*(20/16)/(-1). Let m be k/2*-4*138/60. Let a be -4 + (m - (4 + -1)). Solve -5*h = -3*u - 12, 0 = 6*h - h + u - a for h. 3 Suppose 0*b + 3*b = 27. Suppose -b*q - 24 = -13*q. Suppose 2*i - q = -0. Solve 0 = i*t - m - m + 11, 0 = 2*t + 5*m + 20 for t. -5 Suppose -35*h - 4 = -55 - 19. Solve -4*x - t = -4, 3*x - 5*t = h*x - 20 for x. 0 Let t = 99 + -58. Let n = t + -36. Solve 4*c = n*i - 1, 0 = i - 4*c - 0 - 13 for i. -3 Suppose 61*z - 23*z = 14*z + 12*z. Solve z = 5*m + 4*o + 25 - 38, 6 = 3*o for m. 1 Suppose 79*m - 728 = -108*m + 394. Solve m*c = 4*s + 8*c + 18, -5*s = 5*c + 15 for s. -6 Suppose 4*k = 3*q - 2, 5*q + 8*k = 9
{ "pile_set_name": "DM Mathematics" }
hen 16 is divided by y. 4 Suppose -4*j - 2 = 10. Let d(q) = -q**2 + 8*q - 4. Let x be d(5). Let a = j + x. Calculate the remainder when a is divided by 3. 2 Let f(r) = -22*r + 2. Let m(b) = -2*b. Let c(x) = -2*f(x) + 28*m(x). Calculate the remainder when c(-4) is divided by 2639/175 + 6/(-75). 14 Suppose -2 = c - 5*i, 4*i = -4*c - i + 17. What is the remainder when 11 is divided by c? 2 Let x(d) = d - 2. Let s be (-2 - 5/(-3))*-3. Let u be x(s). Calculate the remainder when 52/2 - (u - -4) is divided by 13. 10 Suppose 10*h - 40 = 6*h. Suppose -h*c = 23 - 303. Suppose p + 3*s - 13 = 0, 4*s + 28 = 3*p + 2*s. Calculate the remainder when c is divided by p. 8 Let f(d) = d**2 + 1. Let l be f(-1). Suppose -l*o + 176 = 4*y - y, -5*y - 2*o + 288 = 0. What is the remainder when y is divided by 19? 18 Suppose -5*f + 0*f - 60 = 4*r, 0 = 5*r + 2*f + 58. Let u(y) = 7*y - 1. Let v be u(4). Let g = v + r. Calculate the remainder when g is divided by 5. 2 Suppose 54 = -3*a + a. Let t be 6/a - (-29)/9. Let k = t - -8. Calculate the remainder when k is divided by 6. 5 Let p = 33 - 14. Let x(n) = 7*n**2 + n + 4. Let t be x(3). Let j = t - p. What is the remainder when j is divided by 18? 15 Let a(x) = -x + 18. What is the remainder when a(0) is divided by 8/(-52) + 264/26? 8 Let w be (0 - (1 + -2)) + 44. Let o = w - 32. Suppose 3*q - 10 - 5 = 0. Calculate the remainder when o is divided by q. 3 Let v(q) = q**2 - 11*q + 28. What is the remainder when v(12) is divided by 15? 10 Let u(b) = b. Let d be u(2). Suppose 5*t - 2*s - 60 = 0, -d*t - s - 15 = -3*t. Suppose -5*c = -t*c + 185. What is the remainder when c is divided by 13? 11 Suppose -4 = -2*v + 2. Suppose 0 = v*z + 2*z - 170. Calculate the remainder when z is divided by 9. 7 Let j(r) = r**3 - 18*r**2 + 5*r - 19. What is the remainder when j(18) is divided by 18? 17 Let n(h) = -h + 4. Suppose 2*q + 5*z + 37 = 0, -5*q + z - 64 = 4*z. Let j(r) = r**2 + 10*r. What is the remainder when j(q) is divided by n(0)? 3 Suppose 2*g = 4*g - 36. What is the remainder when 89 is divided by g? 17 Let l(p) = 14*p**3 + p**2 + 6*p**3 - 1 - 4*p**3 + 3*p**3. Calculate the remainder when l(1) is divided by 7. 5 Suppose 0 = -g + 3*g - 64. Calculate the remainder when g is divided by 17. 15 Suppose b = -0*b - 7. Let o be 297/63 + (-2)/b. Suppose o*h - 12 = 78. Calculate the remainder when 35 is divided by h. 17 Let j = -8 - -10. Let n(k) = -2 + 2*k - 5*k + k**2 - 2*k**j - 2*k. What is the remainder when 3 is divided by n(-4)? 1 Suppose -12*s + 91 = -5*s. What is the remainder when 23 is divided by s? 10 Let w(u) = 2*u**2 + 13*u + 9. What is the remainder when 6 is divided by w(-6)? 0 Let c(g) = g**3 - g**2 + 2*g**2 + 7*g**2 + 4*g. What is the remainder when c(-7) is divided by 8? 5 Let p = 10 - 5. What is the remainder when 16 is divided by p? 1 Suppose 3*i - 35 = -2*i. Let w = -133 - -137. What is the remainder when i is divided by w? 3 Suppose 3*g + i = -4*i + 33, g = -3*i + 15. Suppose 0 = -g*m + 2*m + 4. Suppose -2*u + 53 = m. Calculate the remainder when u is divided by 9. 8 Suppose -4*r - 43 + 95 = 0. Suppose -t + 38 = 2. What is the remainder when t is divided by r? 10 Suppose 0*r + 3*r + 27 = 5*p, 0 = -p + 3. Let z(l) = -l**3 + 8*l**2 - 5*l - 3. What is the remainder when z(7) is divided by 35/20*r/(-1)? 4 Suppose -5*k + 128 = -k. Calculate the remainder when k is divided by 7. 4 Suppose 3 + 1 = 2*v. Let m = 1 + v. Suppose 0 = -0*w - m*w + 3*p + 18, 4*p - 21 = -5*w. Calculate the remainder when 14 is divided by w. 4 Suppose -3*j - 5*t + 26 = 0, -j - 2*j = 3*t - 18. Suppose -5*a = -2*a + 3*m - 39, j*a - 3*m = 21. What is the remainder when 33 is divided by a? 9 Let l = -16 + 25. Suppose 8*f - 11*f + l = 0. Calculate the remainder when f is divided by 3. 0 Suppose -3*u + 2*n - 5*n = -108, -2*u - 4*n + 72 = 0. Calculate the remainder when u is divided by 13. 10 Let w = 146 - 132. Suppose -7*i + 3*i = -216. What is the remainder when i is divided by w? 12 Suppose 0 = -4*u + 20, 4*u = 5*a - a + 44. Let n be (-2 + (-14)/a)*9. Calculate the remainder when n*2 + (-4)/(-2) is divided by 3. 2 Suppose 3*j = -3*z - 42, -2*j + 4*j = -5*z - 16. What is the remainder when (-3)/(-12) - 748/(-16) is divided by 10/45 + (-284)/j? 15 Let o(u) be the third derivative of u**5/60 + u**4/8 - 5*u**3/3 - u**2. What is the remainder when 70 is divided by o(-7)? 16 Let a = -23 + 43. What is the remainder when a is divided by 12? 8 Suppose -u + 14 + 105 = 0. What is the remainder when u is divided by 40? 39 Let i = -14 + 18. Calculate the remainder when 99/6*4/6 is divided by i. 3 Let a = 176 + -83. What is the remainder when a is divided by 19? 17 Suppose -5*s + 0*y = -y - 29, -9 = -5*s - 4*y. Suppose s*i + 5*m + 5 = 0, -3*m = -m + 6. What is the remainder when i is divided by 2? 0 Suppose -c - 3 = 2*c. Let p be 14 + c - 0/(-2). Suppose p + 17 = 3*v. Calculate the remainder when v is divided by 6. 4 Let y = 133 + -79. What is the remainder when y is divided by 14? 12 Suppose 0 = 3*j + 3*f + 57, -3*j = -4*f + 9 + 62. Suppose 0*g + 3*g - 87 = 0. Let c = g + j. What is the remainder when 14 is divided by c? 6 Let q = 6 + 8. Calculate the remainder when 54 is divided by q. 12 Suppose -41 = -6*c + 4*c - 5*o, 3*o - 131 = -5*c. Calculate the remainder when 82 is divided by c. 26 Suppose -2 = -5*o - 3*t - 3, -5 = -2*o - 3*t. Let x = 9 + 1. Let v = x + o. Calculate the remainder when 23 is divided by v. 7 Let p = -21 - -39. Let u = 61 - 27. What is the remainder when u is divided by p? 16 Suppose 6*c = -40 + 118. What is the remainder when c is divided by 13? 0 Suppose 2 = 10*k - 9*k. Calculate the remainder when 14 is divided by k. 0 Let u(t) = 2*t - 1. Let f be u(2). Let m(s) = -11*s**3 + s**2 + 2*s. Let o be m(-1). Suppose h - f*h + o = 0. What is the remainder when 19 is divided by h? 4 Let m be (10/(-4))/1*6. Let g be ((-3)/(-3))/((-1)/m). Suppose 0*q - q + g = 0. Calculate the remainder when 43 is divided by q. 13 Let c = 8 - -12. What is the remainder when 57 is divided by c? 17 Suppose 3*a = a + 28. Let p = 0 + 0. Suppose -h = -p*h - 26. Calculate the remainder when h is divided by a. 12 Let p = -5 + 7. Calculate the remainder when 8 is divided by p. 0 Let x(o) = 6*o + 7. Let h(b) = -2*b - 21. What is the remainder when x(7) is divided by h(-17)? 10 Let x = -114 + 166. What is the remainder when x is divided by 6? 4 Let u(i) = -i**2 + 5*i + 34. What is the remainder when u(0) is divided by 9? 7 Suppose 0 = -5*q + q + 20. Suppose 4*y = 4*h + 36 - 0, 3*h = 0. Calculate the remainder when y is divided by q. 4 Let q(x) be the third derivative of -3*x**6/20 - x**4/24 - x**2. Let l = 32 - 33. What is the remainder when q(l) is divided by 5? 4 Let y(b) = b - 3. What is the remainder when 23 is divided by y(9)? 5 Suppose -4*x + 0*x + j + 12 = 0, 3*j = -5*x - 2. Suppose -232 = -x*v - 2*v. Suppose 0*k = 2*k - v. Calculate the remainder when k is divided by 8. 5 Let m be (-2)/(2*(1 - 0)). What is the remainder when 2*9 + 2/m is divided by 9? 7 Suppose 2*x = -x + 4*o + 107, -5*o = -4*x + 144. What is the remainder when x is divided by 11? 8 Suppose 2*t + 3*f + 0*f - 71 = 0, 92 = 4*t - 4*f. What is the remainder when t is divided by 10? 8 Let t(g) = 7*g**2 + g + 6. What is the remainder when t(3) is divided by 38? 34 Let n(u) = u**2 - 5*u + 6. Let t be n(5). Let j = t + -1. Let f(m) = -10*m - 6. Calculate the remainder when f(-2) is divided by j. 4 Suppose 0 = 3*s - 4 - 2. Let f be 82/(-6)*6/s. Let d = 59 + f. Calculate the remainder when d is divided by 10. 8 Suppose -4*f = 2*h - 20, -3*f + 32 = 2*f - h. Calculate the remainder when 9 is divided by f. 3 Suppose 3*w = -2*w + 35. Suppose 0 = l - 12 + w. Calculate the remainder when 18 is divided by l. 3 Suppose -31 = -4*q + 33. Let l = -29 - -74. Calculate the remainder when l is divided by q. 13 Suppose 0*a = 2*a - 142. What is the remainder when a is divided by 18? 17 Suppose -3*l + 3 = -3. Let g be (-19)/(-1) - (-9 + 6). Let o = g + -18. What is the remainder when o is divided by l? 0 Suppose 3*x = -0*x + h + 27, -4*h = 4*x - 20. Calculate the remainder when 21 is divided by x. 5 Suppose -4*p - f = -3 - 0, -2*p - 4*f - 16 = 0. What is the remainder when 40 is divided by (-2)/2*(-28)/p? 12 Let w(k) = -3*k. Wh
{ "pile_set_name": "DM Mathematics" }
3796. What is the units digit of x/(-21) - 3*(-2)/(-21)? 6 Let l be (0/(-1) - 10)*7/(-14). Suppose -5*v + 281 = b, -l*b + v + 1425 = -84. What is the units digit of b? 1 Suppose 0 = 15*u - 29*u + 9030. What is the hundreds digit of u? 6 Suppose -5*d + 6 + 1 = 3*b, -d = 2*b. Let x be -5 - -4 - d - -6. Suppose -x*l - 3*i = 2*l - 395, -395 = -5*l + 5*i. What is the tens digit of l? 7 Suppose -2*o + 4*p - 8 = 0, 5 - 1 = -o - 5*p. Let x = 12 + -13. What is the hundreds digit of 514/4 + (6/o - x)? 1 Let n(y) = -5*y - 2. Let w be n(-6). Let t(a) = a**3 + 29*a**2 + a. Let g be t(0). Suppose g = 6*q - 5*q - w. What is the units digit of q? 8 Let i(x) = -2157*x - 192. Let l be i(8). What is the hundreds digit of 8/6*l/(-32)? 7 Let x(d) = d**3 - 13*d**2 + 2*d - 19. Let i be x(13). Let j(b) = 4*b**2 + 15*b + 9. Let u be j(-10). Suppose 0 = i*r + 35 - u. What is the tens digit of r? 3 Suppose 0*h - 2*h - 234 = o, -5*o - 1155 = -5*h. Let p = -409 + 287. Let n = p - o. What is the hundreds digit of n? 1 Let o(y) be the second derivative of y**6/60 + 3*y**5/40 + y**4/2 - 9*y**3/2 + y. Let s(d) be the second derivative of o(d). What is the tens digit of s(-5)? 1 Suppose c = -b + 397 + 5440, 17499 = 3*c + 5*b. What is the units digit of c? 3 Suppose -232*h + 227*h + 13960 = 0. Let v = h + -1434. What is the thousands digit of v? 1 Suppose -5*a - 71455 = -5*c + 52665, -2*a = c - 24839. What is the thousands digit of c? 4 Let g = -424 - -4548. What is the tens digit of g? 2 Let y(o) = -4*o - 58. Let n be y(-14). Let t be (-1*4)/8*n*0. Suppose t*g + 3*g - 168 = 0. What is the tens digit of g? 5 Let d(b) be the second derivative of -b**4/12 + 4*b**3 - 10*b**2 + 22*b. Let f be d(12). Suppose f = 3*x + 25. What is the tens digit of x? 3 Let j = -6808 - -8357. What is the thousands digit of j? 1 Let u(f) = -f**3 - 8*f**2 + 3*f + 20. Let y be u(-8). What is the tens digit of 0 - (-581 - -1) - (6 + y)? 7 Suppose -r - 4*y = 9, -2*y - 3 - 3 = 0. Let a be (r/(-6))/(5/10). Let v(n) = 132*n**2 + 3*n + 1. What is the tens digit of v(a)? 3 Let m(f) = -48*f**2 + 16*f**2 - 15*f + 33*f - 2 - 14*f. Let x be m(1). What is the tens digit of (-1545)/(-6)*x/(-25)? 0 Let o(r) = -r**3 - 5*r**2 + 2*r + 1. Let w be o(-6). Let p(d) = 49 - 1905*d**2 + 1904*d**2 + w*d + 13. What is the tens digit of p(19)? 7 Suppose 90 = 423*j - 425*j. Suppose 0 = -12*v + 7*v - 1125. What is the units digit of (-6)/j - (-5)/(v/(-3549))? 9 Suppose 0 = -5*g + 4*h + 23, 2*h = 2*g - 3*g - 1. Suppose g*v = 3*m + 831, 0*v + 1106 = 4*v - 5*m. Suppose -8*a + v = -329. What is the tens digit of a? 7 Suppose -5*k = -5*o + 43160, -3*o + 21831 + 4077 = 3*k. What is the tens digit of o? 3 Suppose 118142 = 4*r - 2*f, 111971 = 7*r - 3*f - 94780. What is the ten thousands digit of r? 2 Suppose -810*t + 760*t = -305300. What is the hundreds digit of t? 1 Let c(u) = u**2 - 35*u + 7188. What is the hundreds digit of c(0)? 1 Let f = -13998 - -55903. What is the tens digit of f? 0 Let m be ((-91)/2)/(-7)*(104 + 0). Let g = -347 + m. What is the hundreds digit of g? 3 Let m = -17 + 29. Suppose 0 = 5*n + 3*k - 17, -n - 3*n + m = 2*k. What is the units digit of 44 - -2 - (n - -4)? 1 Suppose 179*s = 181*s - 8. Suppose 4*w = -3*l + 1788, 7*w - 1784 = 3*w - s*l. What is the units digit of w? 0 Let q(f) = -f**3 - 434*f + 19428. What is the hundreds digit of q(0)? 4 What is the ten thousands digit of (12 - 1644372/(-24)) + 4 - (-3)/(-2)? 6 Suppose 0*g + 4*r - 66 = g, -5*r = -25. Let z = g - -48. What is the units digit of 34 - (-4)/6*(1 + z)? 6 Let g = 82 + -77. Suppose 4975 = g*z + n, 2*n + 1978 = -2*z + 4*z. What is the units digit of z? 4 Suppose -5*m - 123642 = -4*d, -46397 = -5*d + m + 108166. What is the units digit of d? 3 Let v = 143 + -141. Suppose 4*r - 310 = v*q + 516, -5*q = 4*r - 805. What is the units digit of r? 5 Let q = -215 + 221. What is the tens digit of 9/q*(-8980)/(-30)? 4 Let b(v) be the third derivative of 263*v**5/12 + v**4/6 - 5*v**3/6 - 20*v**2. What is the thousands digit of b(1)? 1 Let d be (-9 - -8)*(0 - 1). Let q be -44 + 40 - (d - 4)/1. Let c = q + 144. What is the hundreds digit of c? 1 Suppose 1488*f = 1478*f + 72590. What is the units digit of f? 9 Let y = 1290 + -645. Suppose -5*h - 14 = -4*j - 5, 3*h = 4*j - 15. Suppose d - j*d = -y. What is the tens digit of d? 2 What is the thousands digit of (-48465206)/(-1073) - (-22)/407? 5 Let r = -428 + 610. Let v be r/(-39)*72/(-14). Suppose o - v = -2*h + 36, h = 4*o + 30. What is the tens digit of h? 3 Suppose -239*g + 121*g + 103*g = -843630. What is the tens digit of g? 4 What is the hundreds digit of (3 + (-9)/(-27))/(6/7389)? 1 Suppose 45*n = 2406838 - 466933. What is the thousands digit of n? 3 Let d(t) = t**2 - 2*t - 15. Let p be d(5). Let j = 60 - 56. Suppose -100 = -v - 3*v + 4*y, p = j*v - 2*y - 100. What is the units digit of v? 5 Let y(m) = -m**2 + 14*m - 14. Let k be y(14). Let c = -10 - k. What is the tens digit of (-22)/c*(-1 + -1)? 1 Let o = 138 + -117. Suppose -10*b + o = -9*b. Suppose -5*y - 2976 = -b*y. What is the hundreds digit of y? 1 Suppose -9*h - 493 = -2122. Suppose -h*d + 178*d + 864 = 0. What is the tens digit of d? 8 Let m = -32298 - -58087. What is the hundreds digit of m? 7 Let f = 95 + -101. Let j be f/8 - (-6909)/28. Suppose -9*t - j = -11*t. What is the units digit of t? 3 Suppose -24*t + 31*t = -5558. Let f = -263 - t. What is the units digit of f? 1 What is the tens digit of (-2)/18 - (-16)/(-720)*-461165? 4 Let m(w) = w**2 - 2*w - 1. Let d(f) = -7*f**2 - 6*f - 42. Let n(l) = -d(l) + 6*m(l). What is the units digit of n(-6)? 0 Let n(o) = o**2 - 9*o - 6. Let v be n(0). What is the tens digit of v - (-2112 + 24/6)? 0 Let p be 50/(-20)*1126/(-5) - -3. Let i = -92 + p. Suppose -4*g - 94 = -i. What is the units digit of g? 5 Let x = 2908 - 1660. Let s = -502 + x. What is the units digit of s? 6 Let s(r) = -r - 15. Let n be s(4). Let i = n - -70. Suppose 4*a - 104 = -4*v, 2*a - 2*v - 21 = i. What is the tens digit of a? 3 Suppose 9*z + 11 = 2. Let x(p) = 48*p + 4. Let g be x(z). Let u = 100 + g. What is the tens digit of u? 5 Let c be 0/((-12)/(-20) - (-2)/5). Suppose 11*j - 13*j - 8 = c. What is the units digit of (-187)/(-3) - (32/12)/j? 3 What is the hundreds digit of 702 + 77 + 2*(-7 - -4)? 7 Suppose -s + 12282 = -y - 0*y, -24558 = -2*s + 4*y. What is the hundreds digit of s? 2 Let t(a) = -281*a**2 - 10*a + 18. Let q be t(4). Let l = q - -11670. What is the tens digit of 2/(-10) - (l/20)/(-3)? 1 What is the ten thousands digit of (-30)/50 + ((-576)/18)/((-10)/15728)? 5 What is the thousands digit of 3 + -7 + 4931 + -14? 4 Let o(j) = 0 - 3*j**2 - 3*j + 0*j**3 - j**3 - 5. Suppose -46 = -2*i - 56. What is the units digit of o(i)? 0 Let u(x) = 6*x**3 - 11*x**2 - 5*x + 7. Let l(q) = -5*q**3 + 10*q**2 + 5*q - 7. Let o(r) = 5*l(r) + 4*u(r). What is the units digit of o(3)? 5 Let b = 6925 - -7143. What is the hundreds digit of b? 0 Let r = 252 + -106. Let p(h) = 2*h**2 - h + 1. Let b be p(1). Suppose 5*j + b*u - 375 = 0, -3*j - 4*u = -r - 79. What is the tens digit of j? 7 Let a be (22/(-3))/((-30)/540). Let b = a - -935. What is the units digit of b? 7 Let s = 2156 + -4474. What is the tens digit of (-42)/(-28)*s/(-3)? 5 Let a(l) = 83*l**2 - 8*l + 3. Suppose -o - 2 + 19 = 3*s, 2*o + 2*s = 14. What is the tens digit of a(o)? 1 Let b = 425 - 397. Suppose b*c - 6944 = 3192. What is the tens digit of c? 6 Let q(r) = 10*r**3 + 4*r**2 - 5*r - 8. What is the thousands digit of q(8)? 5 Let b(c) = 13*c - 28. Let h(f) = -f - 2. Let a(z) = -b(z) - 2*h(z). Suppose -29 = 6*n + 61. What is the hundreds digit of a(n)? 1 Let g(n) = 105*n**3 + 5*n - 10. Let h be g(2). Suppose 4*a + 2*t = 1682, 420 = 3*a + 3*t - h. What is the units digit of a? 1 What is the tens digit of 0 - 11/(110/(-20)) - -8632? 3 Let j(s) = -38*s - 1. Let a(l) = -10*l**2 + 179*l + 10. Let b(n) = -a(n) - 5*j(n). Let r = 6 + -1. What is the hundreds digit of b(r)? 3 What is the hundreds digit of 2/(-5 - 317289/(-126910)*2)? 0 Suppose 2696 + 3240 = -8*u. Let z = -561 - u. What is the tens digit of z? 8 Let c(b) = 21*b**2 - 1016*b + 187. What is the hundreds digit of c(55)? 8 Let p be (1/(2/6) - 0) + 1. Suppose 0 = -p*r - 18 - 2. What is the units digit of 206/4*1*(r + 7)? 3 W
{ "pile_set_name": "DM Mathematics" }
nded to one decimal place? -2284.1 What is -0.00127161806 rounded to 4 dps? -0.0013 What is 536.045038 rounded to two decimal places? 536.05 Round 118329092.5 to the nearest 10000. 118330000 Round -0.00039847116 to six dps. -0.000398 What is 6.100027579 rounded to 0 dps? 6 What is -1097.12885 rounded to the nearest one hundred? -1100 What is 2.14185863 rounded to three decimal places? 2.142 What is 160.25005 rounded to the nearest 10? 160 What is -0.00545869518 rounded to six dps? -0.005459 Round 604.450505 to the nearest ten. 600 What is 56397.927 rounded to the nearest ten thousand? 60000 Round -3.418470533 to one dp. -3.4 Round 1454690784 to the nearest one million. 1455000000 What is -627793.48 rounded to the nearest 100000? -600000 What is 262249.15 rounded to the nearest one hundred thousand? 300000 What is 0.000002393262328 rounded to 7 decimal places? 0.0000024 Round 1.426449203 to one decimal place. 1.4 Round 0.0515924031 to 5 dps. 0.05159 What is -0.00034772664 rounded to 4 dps? -0.0003 Round 0.0447201 to three decimal places. 0.045 What is 0.724476557 rounded to five dps? 0.72448 Round -31.51708543 to 2 decimal places. -31.52 Round -103421470 to the nearest one hundred thousand. -103400000 What is -0.00004076778282 rounded to five dps? -0.00004 What is -8892.013538 rounded to the nearest 10? -8890 What is 7071372010 rounded to the nearest 1000000? 7071000000 Round 0.001395712081 to 5 dps. 0.0014 What is 0.0051412602 rounded to 3 dps? 0.005 What is 137909942 rounded to the nearest 10000? 137910000 Round -183.1405405 to 2 dps. -183.14 What is 55254.45243 rounded to the nearest 100? 55300 Round 66.204787 to the nearest ten. 70 What is -14335019.7 rounded to the nearest 100000? -14300000 What is 0.010820415 rounded to 3 dps? 0.011 Round -17366.40148 to the nearest one hundred. -17400 Round 0.00000618572978 to six decimal places. 0.000006 Round -0.00043710475 to five decimal places. -0.00044 What is 10.91773336 rounded to two decimal places? 10.92 What is -45558.0558 rounded to the nearest 10? -45560 What is -1796.1183 rounded to the nearest 100? -1800 Round -44.45450656 to the nearest integer. -44 Round -101618520 to the nearest 1000000. -102000000 What is -0.02333829099 rounded to 3 decimal places? -0.023 What is 5408.39696 rounded to 1 decimal place? 5408.4 What is -20402.736812 rounded to the nearest one thousand? -20000 What is 0.01676898551 rounded to five decimal places? 0.01677 What is 687408063 rounded to the nearest ten thousand? 687410000 Round 31.4185384 to two dps. 31.42 What is -0.0151645296 rounded to 4 decimal places? -0.0152 What is 8977209.244 rounded to the nearest one million? 9000000 Round -217781.95 to the nearest 1000. -218000 Round -2.11515272 to one decimal place. -2.1 What is 4471409636 rounded to the nearest 1000000? 4471000000 What is -290322.15 rounded to the nearest 10000? -290000 Round 0.0000353375475 to five dps. 0.00004 What is 2742656.39 rounded to the nearest ten thousand? 2740000 Round -13952.7149 to the nearest integer. -13953 What is 0.09324237958 rounded to six decimal places? 0.093242 Round 2904800 to the nearest one hundred thousand. 2900000 Round 0.00001137179 to six decimal places. 0.000011 Round -726034.567 to the nearest 10000. -730000 Round 0.007277232649 to three decimal places. 0.007 What is 1217.63532 rounded to 1 dp? 1217.6 Round 2944719.62 to the nearest one thousand. 2945000 What is 0.02763407541 rounded to two decimal places? 0.03 What is 8.053811583 rounded to the nearest integer? 8 Round 4939.847723 to the nearest integer. 4940 What is -63.625898 rounded to two decimal places? -63.63 Round -0.00000035772123 to six dps. 0 What is -0.010768423 rounded to five decimal places? -0.01077 Round 13.5410085 to 2 decimal places. 13.54 Round 168858.686 to the nearest ten. 168860 What is -3055020.242 rounded to the nearest 1000000? -3000000 Round -0.00007676245603 to 5 dps. -0.00008 What is -261.2068709 rounded to the nearest integer? -261 What is -73120.06019 rounded to the nearest ten? -73120 Round -3342014.33 to the nearest ten thousand. -3340000 What is 345416.471 rounded to the nearest 100000? 300000 What is 0.05711516048 rounded to 5 dps? 0.05712 Round 3186683494 to the nearest one million. 3187000000 Round -178.421622 to zero dps. -178 What is 396.6163916 rounded to two dps? 396.62 Round 1.028661888 to the nearest integer. 1 Round -5203620.07 to the nearest 1000000. -5000000 What is 24.72628236 rounded to the nearest ten? 20 Round -1186.43012 to the nearest one hundred. -1200 Round 829792.902 to the nearest 1000. 830000 What is -0.1527633 rounded to 2 decimal places? -0.15 Round -29728179100 to the nearest one million. -29728000000 What is 7128623.91 rounded to the nearest 10000? 7130000 What is 0.003950684964 rounded to four decimal places? 0.004 Round -0.00141089346 to five decimal places. -0.00141 Round -1269454.03 to the nearest one hundred thousand. -1300000 What is -0.00719428902 rounded to 6 decimal places? -0.007194 Round -0.0000069636521 to 7 decimal places. -0.000007 Round -3.70872533 to four dps. -3.7087 Round 385.32034 to 1 decimal place. 385.3 What is 1.44614846 rounded to one decimal place? 1.4 What is 795.669818 rounded to one decimal place? 795.7 What is -25904483.54 rounded to the nearest ten thousand? -25900000 Round 15.93894944 to three dps. 15.939 What is -257049.886 rounded to the nearest 100? -257000 Round -1043899.5299 to the nearest 100000. -1000000 What is 1359.86754 rounded to the nearest integer? 1360 What is -4262971400 rounded to the nearest one million? -4263000000 What is 22.5233621 rounded to two dps? 22.52 What is -1522.8981 rounded to the nearest integer? -1523 Round 228726.18 to the nearest 1000. 229000 Round -30.0615244 to the nearest 10. -30 What is 102178.145 rounded to the nearest ten thousand? 100000 What is 0.1118490128 rounded to 2 decimal places? 0.11 Round 2931684.868 to the nearest one hundred. 2931700 Round 19779624.2 to the nearest one hundred thousand. 19800000 Round 107981289 to the nearest one million. 108000000 What is 11.442370294 rounded to three dps? 11.442 Round 0.000000070149956 to 7 decimal places. 0.0000001 What is -6075956.574 rounded to the nearest 100000? -6100000 What is -330969.03 rounded to the nearest 1000? -331000 What is -8.44929329 rounded to three dps? -8.449 Round 23392.32786 to 0 decimal places. 23392 What is 339565410 rounded to the nearest 100000? 339600000 What is 453248410 rounded to the nearest 1000000? 453000000 What is 0.073189499 rounded to 2 dps? 0.07 Round 587671.1522 to the nearest one hundred thousand. 600000 Round -0.160589198 to three dps. -0.161 What is -105.0077184 rounded to 0 decimal places? -105 Round -100685.8307 to the nearest integer. -100686 What is 86.1175454 rounded to one decimal place? 86.1 What is 151.56341 rounded to 1 dp? 151.6 What is -0.1907499566 rounded to 3 dps? -0.191 Round 237126.8668 to the nearest 100. 237100 Round -0.0002018590972 to 6 decimal places. -0.000202 What is -0.002188565549 rounded to seven decimal places? -0.0021886 Round 441172090 to the nearest one million. 441000000 What is 0.000001134378889 rounded to seven decimal places? 0.0000011 What is -0.807955637 rounded to five decimal places? -0.80796 Round 981.5116 to the nearest one hundred. 1000 What is 7055.328 rounded to the nearest 10000? 10000 What is -1.875532351 rounded to three decimal places? -1.876 What is 0.0080558309 rounded to three dps? 0.008 Round 64832592.5 to the nearest one million. 65000000 Round -699019.95 to the nearest 100. -699000 Round 16245095.31 to the nearest 1000. 16245000 Round -202985.38 to the nearest one thousand. -203000 What is 243.7893 rounded to the nearest 1000? 0 What is 28795.1279 rounded to the nearest one thousand? 29000 Round -2356419.54 to the nearest 1000. -2356000 What is -2772.87439 rounded to the nearest ten? -2770 What is -11676210 rounded to the nearest one million? -12000000 Round -0.0002226054457 to four dps. -0.0002 What is -21356705.7 rounded to the nearest 100000? -21400000 What is -3803925.89 rounded to the nearest ten thousand? -3800000 What is -0.0161778461 rounded to 6 decimal places? -0.016178 What is 0.00000349720092 rounded to six decimal places? 0.000003
{ "pile_set_name": "DM Mathematics" }
What is the units digit of a? 6 Suppose 2*v - v - 3*t = -73, 2*t - 70 = v. Let p = v - -94. Suppose 0 = -5*q - 10 + p. What is the units digit of q? 4 Let i(q) = q**2 - 3*q + 2. Let n be i(3). Suppose -3*x = -4*x + n. Suppose -x*u = -6*u + 8. What is the units digit of u? 2 Let d(b) = -3*b - 10. Suppose 3*x - 16 + 52 = 0. What is the tens digit of d(x)? 2 Let i = -4 - -3. Let x be 2 + (-1)/i*3. Suppose -2*y - 15 = -x*y. What is the units digit of y? 5 Suppose -18 = -4*o + 3*l - 5*l, 20 = 5*o + 2*l. Suppose v = 2*c + 10, 8*v = 3*v + 5*c + 45. Suppose -o*j - 2*j = -v. What is the units digit of j? 2 Suppose 5*v = -1 + 16. Suppose -2*j - 70 = -5*y, 2*y + 14 = v*y - 4*j. Suppose -7 = -3*r + y. What is the units digit of r? 7 Let h be (-21)/6*4/(-7). Suppose -2*q + 4*q - h = -2*c, 12 = 4*c + 2*q. What is the units digit of c? 5 Let b(o) = 2*o - 2 + 15 + 2*o - 3*o. What is the units digit of b(-11)? 2 Suppose 0 = 3*a - 1 - 5. Let j(o) = -16 - 5*o**2 - 7*o + 6*o**a + 3 + 0*o. What is the units digit of j(9)? 5 Let o(j) = 21*j - 15. What is the units digit of o(4)? 9 What is the tens digit of (1 + -130)/(3/12*-4)? 2 What is the tens digit of (0 + 13/3)/(1/6)? 2 Let d(h) = -h**3 - h. Let t(o) = 0*o - o - 5*o**2 + 2*o**2. Let y be t(-1). What is the tens digit of d(y)? 1 Let g(n) be the second derivative of n**5/20 - n**4 + 11*n**3/6 + 7*n**2/2 - 3*n. What is the units digit of g(11)? 7 Let s be 1 + (-3)/3 + 5. Let t(c) = c**2 - 6*c + 6. What is the units digit of t(s)? 1 Suppose 3*b + 14 = i, -5*i - 5*b = 7 + 3. Let l = -33 - -51. Suppose 0 = -i*m + l - 0. What is the units digit of m? 9 Suppose 4*z - 9 = -3*f, z - 3*z + 5*f = -11. Suppose -15 = z*n + 4*r - r, n - 3*r = -1. Let k = n + 6. What is the units digit of k? 2 Let f(h) = -h**2 + 13*h + 9. Suppose 3*y - 6 = -2*q + 27, -3*y - 3 = -2*q. What is the tens digit of f(q)? 4 Suppose 4*g - 49 + 164 = x, 3*x + 4*g = 409. What is the units digit of x? 1 Let j(g) = -28*g - 4. What is the units digit of j(-2)? 2 Suppose -2*d - 3*d - 60 = 0. What is the units digit of (22/4)/((-6)/d)? 1 Suppose 5*f - 10 = -0*f. Let k be 6/f - 0/(-9). Suppose -k*x + x + 20 = 0. What is the units digit of x? 0 Let v(z) = -6*z**3 - 3*z**2 + z + 3. What is the tens digit of v(-2)? 3 Let m(h) = -2*h**3 - 7*h**2 - 11*h - 3. What is the units digit of m(-4)? 7 Let d(t) = 4*t**2 - 4*t - 3. Suppose o = -3*o - 8. What is the tens digit of d(o)? 2 What is the tens digit of (-17 - 6)/((-1)/3)? 6 Let o(j) = -113*j + 1. What is the units digit of o(-1)? 4 Let k = -55 + 75. Suppose 5*p = 3*z + 17 - 62, -24 = -3*z - 2*p. Let y = k - z. What is the tens digit of y? 1 Suppose 2*m = 2 - 16. What is the units digit of 29 - (-3 + (-1 - m))? 6 Let k be 3/(-2)*(-3 - -1). Let z be (8/10)/(1/5). Suppose z*f = -j - 0 - k, 4*f = -4*j. What is the units digit of j? 1 Let a be 1*(2/2 + 1). Suppose 5*c + 2*p = 281, 6*c = c + 5*p + 295. Suppose 3*y = 3*w - 0*y - 27, -c = -5*w + a*y. What is the tens digit of w? 1 Let r be (4/10)/(2/10). Suppose -r*b - b = 0. Suppose 3 = -2*l - m + 6*m, l - 4*m + 9 = b. What is the tens digit of l? 1 Suppose 3*h - 7 - 5 = 0. Let d(n) = -n**3 + 4*n**2 + 3*n + 1. What is the units digit of d(h)? 3 Suppose -4*k + 4 + 8 = 0. Suppose 0 = -k*j + 5*o + 30, 1 = -4*j - o + 41. What is the units digit of j? 0 Suppose 0 = 5*f - f + 28. Let v = 11 + f. Let q(g) = -g**3 + 4*g**2 + 3*g - 6. What is the units digit of q(v)? 6 Suppose 2*h - 25 - 23 = 0. Suppose -4*z = 6*c - 2*c - h, 3*c + 17 = 4*z. What is the units digit of c? 1 Suppose 5*i - 350 = b + b, b - 5 = 0. What is the units digit of i? 2 Suppose -6*i - 518 - 76 = 0. What is the units digit of (14/21)/((-2)/i)? 3 Let f be (1 - 0) + 3 + 0. Suppose 2*u - f = 6. What is the units digit of u? 5 Let t = -2 + 9. Suppose -t - 9 = -2*g. What is the units digit of g - (2 - 4) - 1? 9 Let c(l) = l**3 - 7*l**2 + 3. Let x be c(7). Suppose 3*f = -5*z + 84, 0*z + 78 = 4*z - x*f. What is the units digit of z? 8 What is the tens digit of (-3)/(2/((-136)/12))? 1 Let v(y) = -3*y - 1. Let d be v(7). Let u = d + 33. Suppose 4*h - u = -5*r, -4*r + 3 + 13 = 5*h. What is the units digit of h? 4 Let n(h) = h**3 - 8*h**2 + 2*h + 9. Let y be n(7). Let d be (-1)/2 - y/4. Suppose -2*r + d = -0*r. What is the units digit of r? 3 Let b(c) = -c**2 + c + 6. Let x(z) = -z + 1. Let g(s) = b(s) - 6*x(s). Let q be g(7). Let n = 3 + q. What is the units digit of n? 3 Let j(o) = 30*o - 18. What is the units digit of j(6)? 2 Suppose 4*t - 12 + 28 = 0. What is the units digit of 3*((13 - t) + -2)? 5 Let q(b) = 7*b**3 + 11*b**2 - 3*b - 6. Let d(c) = -c**3 - c**2 + 1. Let f(m) = -6*d(m) - q(m). What is the tens digit of f(-6)? 1 Suppose -2*s - 340 = -0*t - 2*t, 5*t + 5*s - 810 = 0. What is the tens digit of t? 6 Suppose 4*n = 344 + 740. What is the hundreds digit of n? 2 Suppose 11 = 3*f - 1. Let l(m) = -m**2 + 1. Let n(a) = -a**3 + 5*a**2 - a + 4. Let i(q) = f*l(q) + n(q). What is the units digit of i(0)? 8 Let m = 19 - -47. What is the tens digit of m? 6 Suppose -2 = -4*h + 2. What is the tens digit of h - (-5*7 + -3)? 3 Let h(k) = k**3 - 8*k**2 + 7*k + 3. Let u be h(7). What is the units digit of -1 + (24/u - 2)? 5 Let s(l) = l**3 + 5*l**2 - 4*l + 2. What is the tens digit of s(-5)? 2 Let c(p) = 3 + 8*p**2 + 5*p - p**3 - 7*p + 4. Let n be c(8). Let o = -1 - n. What is the units digit of o? 8 What is the tens digit of (0/3 - 2) + 86? 8 Let g(d) = 20*d - 12. What is the hundreds digit of g(7)? 1 Suppose 4*t = 77 + 183. Suppose 2*o = -11 + t. What is the units digit of o? 7 Suppose 7 = c - 20. Let x = -16 + c. What is the tens digit of x? 1 Suppose 7*t = 4*t + 15. What is the tens digit of -4 + -3 + t - -44? 4 Suppose 0 = 2*w - 5*w + 300. What is the tens digit of w? 0 Let z(j) = 3*j**2 - 2*j - 4. What is the units digit of z(3)? 7 Let x = -10 + 249. What is the hundreds digit of x? 2 What is the tens digit of 7 - 9 - (-2)/((-4)/(-70))? 3 Suppose -5*k + 10*k + 2*q - 32 = 0, -k - 3*q = -9. Suppose k*s - 9*s + 138 = 0. What is the tens digit of s? 4 Let l(h) = 0*h**2 + 2*h**2 + 1 - 2*h + 3*h**2 - h**3. Suppose -10 = w - 6*w. What is the units digit of l(w)? 9 Let h = -58 - -33. Let l = h - -44. Suppose -3*p = -4 + l, 0 = -d + 4*p + 36. What is the units digit of d? 6 Suppose 3*r - 2 - 1 = 0. What is the tens digit of -4 + r - (-15 + -4)? 1 Suppose 0 = 4*g - 3*k - 47, 2*k + 25 = 5*g + 5*k. Let l = 1 + g. What is the units digit of l? 9 Suppose 0 = 4*a - 3*c - 1329, -a - 1328 = -5*a + 4*c. What is the tens digit of a? 3 Let x be 20/(-6) + (-1)/(-3). What is the units digit of (26/(-6))/(1/x)? 3 Let s(m) = m**3 + 2*m - 3. Suppose 4*w + 5*l + 17 = -0*l, 3*l = 5*w - 25. What is the units digit of s(w)? 9 Let b be 3/(-3 + 14/4). Suppose -2 = -2*v + b. What is the units digit of v? 4 Let f = -75 - -147. Let o be (f/(-16))/((-3)/(-8)). Let d = -4 - o. What is the units digit of d? 8 What is the units digit of (8/(-20))/((-1)/5)? 2 Suppose o + 29 = 3*t - 3*o, 2*t - 5*o = 17. Suppose 0 = -5*b + t + 9. Suppose 0 = -b*x + 2*x + 20. What is the tens digit of x? 1 Suppose -x + 13 = 3*d, -2*d - 5 = -3*x + 1. Suppose 15 = 5*q, -6*h - 2*q + 33 = -d*h. What is the units digit of h? 9 Suppose 7*y = 11*y + 172. Let d = -27 - y. What is the tens digit of d? 1 Suppose 10 = -2*w, -13 = -2*q - 3*w + 4*w. Let h = q - -4. What is the units digit of h? 8 Let f = 4 - -22. Let l = -16 + f. What is the units digit of l? 0 Let s = 63 + -36. What is the units digit of s? 7 Suppose -15*f - 172 = -19*f. What is the tens digit of f? 4 Let y(n) = 6*n**2 - 7. What is the tens digit of y(-3)? 4 Suppose 2*h = -4*w + 62, 5*w - 3*h = -14 + 97. Suppose w = -2*y - 0*y. Let z = 17 + y. What is the units digit of z? 9 Suppose 42 = 5*x - 53. What is the units digit of x? 9 Let t(n) = n**3 + 5*n**2 - n - 2. What is the tens digit of t(-4)? 1 Let q(r) = r**2 + 3*r. What is the units digit of q(4)? 8 Let l(i) = -3*i - 2 + 3*i - i - i. What is the units digit of l(-3)? 4 Let d(i) = i + 3. Let z be d(-3). Suppose -4*l + 24 = -z*l. What is the units digit of l? 6 Let o = 16 + -31. Let c be (1/(-2))/((-1)/(-20)). Let j = c - o. What is the units digit of j? 5 Suppose 4*c - 162 = 130. What is the units digit of c? 3 Suppose -226 = -7*h + 68. What is the units digit of
{ "pile_set_name": "DM Mathematics" }
s? 1/10 Three letters picked without replacement from aspsasppgcmc. Give prob of picking 1 m and 2 s. 3/220 Four letters picked without replacement from {g: 6, k: 3, c: 2, o: 2, w: 1, m: 5}. What is prob of picking 1 k, 2 c, and 1 g? 3/646 Three letters picked without replacement from gpppgggggggggggppgp. What is prob of picking 2 g and 1 p? 156/323 What is prob of picking 1 f and 2 q when three letters picked without replacement from {q: 2, w: 2, f: 8, o: 1}? 4/143 What is prob of picking 1 s and 1 d when two letters picked without replacement from {i: 4, z: 2, s: 3, d: 6}? 6/35 Two letters picked without replacement from {f: 12, w: 3}. What is prob of picking 1 w and 1 f? 12/35 Two letters picked without replacement from zpsspspppppszp. What is prob of picking 1 s and 1 p? 32/91 What is prob of picking 3 m and 1 o when four letters picked without replacement from moomommmmooccommom? 49/255 Three letters picked without replacement from {f: 8, u: 3}. What is prob of picking 3 u? 1/165 What is prob of picking 1 w and 1 b when two letters picked without replacement from bbbbbbbwbbbb? 1/6 Calculate prob of picking 2 n when two letters picked without replacement from {t: 4, n: 4, z: 1, d: 3, y: 2}. 6/91 What is prob of picking 1 x and 1 y when two letters picked without replacement from xkxxhakyayxhzhkyxkx? 2/19 What is prob of picking 1 n and 2 o when three letters picked without replacement from {o: 11, n: 3, b: 4}? 55/272 Calculate prob of picking 1 x and 1 m when two letters picked without replacement from xqmxmmmmx. 5/12 Three letters picked without replacement from glgglgggggggggggggg. Give prob of picking 1 g and 2 l. 1/57 Three letters picked without replacement from pfppqefppfppfrfrpppr. Give prob of picking 1 e, 1 f, and 1 p. 5/114 Two letters picked without replacement from {m: 5, o: 3, w: 4, l: 7}. What is prob of picking 2 l? 7/57 What is prob of picking 4 o when four letters picked without replacement from {v: 2, o: 18}? 12/19 Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, j: 7, o: 6}. 1/105 Three letters picked without replacement from {c: 1, q: 2, m: 1, n: 1, j: 1, z: 2}. What is prob of picking 1 m, 1 j, and 1 q? 1/28 What is prob of picking 3 l and 1 m when four letters picked without replacement from {l: 12, m: 3}? 44/91 Three letters picked without replacement from {o: 1, i: 4, k: 6}. What is prob of picking 2 i and 1 o? 2/55 What is prob of picking 1 r and 2 c when three letters picked without replacement from crrcrrrcrcr? 14/55 What is prob of picking 1 c and 1 j when two letters picked without replacement from {c: 3, i: 4, j: 1, n: 2, b: 2, k: 3}? 1/35 Calculate prob of picking 3 z when three letters picked without replacement from {z: 7, h: 5}. 7/44 What is prob of picking 3 a and 1 n when four letters picked without replacement from aattntsaaans? 4/99 Calculate prob of picking 3 j when three letters picked without replacement from jjjujjjjjjjjjjjjjjj. 16/19 Two letters picked without replacement from {w: 1, k: 2, x: 1, o: 2, t: 2, z: 4}. Give prob of picking 1 x and 1 k. 1/33 Two letters picked without replacement from {x: 1, g: 2}. Give prob of picking 1 x and 1 g. 2/3 What is prob of picking 2 a when two letters picked without replacement from {q: 1, m: 5, a: 3}? 1/12 Three letters picked without replacement from {a: 1, q: 12}. Give prob of picking 3 q. 10/13 Three letters picked without replacement from {a: 2, k: 1, b: 2, d: 1, z: 4}. What is prob of picking 1 k, 1 z, and 1 a? 1/15 Two letters picked without replacement from {b: 3, e: 3, p: 1, o: 1, w: 1, g: 2}. Give prob of picking 1 e and 1 o. 3/55 Three letters picked without replacement from ebsfvlsbf. What is prob of picking 1 l, 1 e, and 1 f? 1/42 What is prob of picking 3 n and 1 q when four letters picked without replacement from {n: 3, q: 2}? 2/5 Calculate prob of picking 4 b when four letters picked without replacement from hbbbbh. 1/15 Calculate prob of picking 3 i when three letters picked without replacement from ddippiid. 1/56 What is prob of picking 2 v when two letters picked without replacement from {v: 5, s: 6, b: 2}? 5/39 Two letters picked without replacement from chhchh. Give prob of picking 2 c. 1/15 What is prob of picking 2 i when two letters picked without replacement from {i: 2, b: 9}? 1/55 Two letters picked without replacement from {r: 3, w: 1}. Give prob of picking 2 r. 1/2 What is prob of picking 2 m and 1 p when three letters picked without replacement from {f: 3, p: 3, m: 2}? 3/56 What is prob of picking 4 x when four letters picked without replacement from {x: 10, a: 10}? 14/323 Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {q: 4, d: 5, r: 1, a: 1}. 4/55 Calculate prob of picking 1 t and 2 x when three letters picked without replacement from txuxxxxuxxxtx. 36/143 Four letters picked without replacement from {f: 8, n: 5}. What is prob of picking 3 n and 1 f? 16/143 Calculate prob of picking 1 a and 2 e when three letters picked without replacement from {a: 10, e: 9}. 120/323 Two letters picked without replacement from {g: 2, q: 3, t: 1, o: 6, c: 1}. What is prob of picking 1 g and 1 t? 1/39 Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {i: 3, t: 3, k: 4, e: 2, h: 2, w: 1}. 4/105 Three letters picked without replacement from wwwwwwwbwwwww. What is prob of picking 2 w and 1 b? 3/13 Calculate prob of picking 1 m, 1 j, and 1 p when three letters picked without replacement from mmjpg. 1/5 What is prob of picking 2 v when two letters picked without replacement from svv? 1/3 What is prob of picking 1 w and 3 v when four letters picked without replacement from vvivjvjjjjwjiwiivj? 1/153 Two letters picked without replacement from {o: 3, r: 7}. What is prob of picking 1 r and 1 o? 7/15 Two letters picked without replacement from {l: 3, e: 1}. What is prob of picking 2 l? 1/2 Three letters picked without replacement from {b: 3}. Give prob of picking 3 b. 1 Calculate prob of picking 3 u and 1 r when four letters picked without replacement from uiuiruiri. 1/63 Two letters picked without replacement from igniv. What is prob of picking 1 n and 1 v? 1/10 Four letters picked without replacement from {q: 7, o: 1, a: 2}. What is prob of picking 4 a? 0 What is prob of picking 2 k and 1 t when three letters picked without replacement from kktkkttkktqqt? 75/286 Calculate prob of picking 1 c and 1 i when two letters picked without replacement from uoiocuiw. 1/14 Two letters picked without replacement from ikkiwkkwiwkky. What is prob of picking 1 w and 1 i? 3/26 Four letters picked without replacement from {n: 1, m: 7, b: 1}. What is prob of picking 1 b and 3 m? 5/18 What is prob of picking 2 p when two letters picked without replacement from {p: 3, e: 2}? 3/10 Two letters picked without replacement from {y: 1, g: 3, p: 4, n: 6}. What is prob of picking 2 n? 15/91 Two letters picked without replacement from {a: 1, l: 4, z: 11, b: 1}. Give prob of picking 2 z. 55/136 Four letters picked without replacement from {q: 2, j: 1, v: 6, a: 4, f: 3}. Give prob of picking 1 a and 3 v. 4/91 Two letters picked without replacement from {r: 2, t: 4}. Give prob of picking 1 r and 1 t. 8/15 Calculate prob of picking 1 m and 1 f when two letters picked without replacement from mfmmmfmmmmfmmf. 40/91 Two letters picked without replacement from {l: 1, x: 1, s: 1}. Give prob of picking 1 s and 1 l. 1/3 Two letters picked without replacement from {l: 4, p: 7}. What is prob of picking 2 l? 6/55 Three letters picked without replacement from {y: 2, c: 9}. What is prob of picking 1 y and 2 c? 24/55 What is prob of picking 2 d when two letters picked without replacement from {z: 3, d: 3}? 1/5 Four letters picked without replacement from {g: 12, z: 6}. What is prob of picking 4 z? 1/204 Two letters picked without replacement from {v: 1, p: 10, o: 7, k: 1, z: 1}. What is prob of picking 1 o and 1 k? 7/190 What is prob of picking 2 j when two letters picked without replacement from gajjdgjaaujggaagjaa? 10/171 Three letters picked without replacement from {w: 6, p: 1, u: 3, g: 7}. What is prob of picking 1 p and 2 g? 21/680 What is prob of picking 1 o and 2 w when thre
{ "pile_set_name": "DM Mathematics" }
mainder when 124055062 is divided by 1363242. 40 What is the remainder when 39110189 is divided by 1582? 1567 What is the remainder when 22852 is divided by 452? 252 What is the remainder when 1760441 is divided by 53? 46 Calculate the remainder when 6591 is divided by 2730. 1131 Calculate the remainder when 149872 is divided by 36383. 4340 Calculate the remainder when 1897377 is divided by 21. 6 Calculate the remainder when 79751 is divided by 19222. 2863 Calculate the remainder when 15565780 is divided by 75197. 1 What is the remainder when 881419 is divided by 1169? 1162 Calculate the remainder when 22790 is divided by 546. 404 Calculate the remainder when 3178543 is divided by 5. 3 Calculate the remainder when 3489432 is divided by 1744712. 8 Calculate the remainder when 1020017 is divided by 510006. 5 What is the remainder when 2281391 is divided by 760459? 14 Calculate the remainder when 4523550 is divided by 6453. 6450 Calculate the remainder when 5049757 is divided by 296. 293 Calculate the remainder when 1364915 is divided by 534. 11 What is the remainder when 1093105 is divided by 765? 685 What is the remainder when 37531 is divided by 12292? 655 Calculate the remainder when 11922531 is divided by 1551. 1545 What is the remainder when 218190429 is divided by 10? 9 Calculate the remainder when 326233 is divided by 46243. 2532 What is the remainder when 1421136 is divided by 556? 0 What is the remainder when 540975 is divided by 180300? 75 Calculate the remainder when 8294598 is divided by 436557. 15 Calculate the remainder when 19182461 is divided by 9187. 5 Calculate the remainder when 55189 is divided by 2088. 901 What is the remainder when 140072082 is divided by 1635? 1632 Calculate the remainder when 309944 is divided by 5383. 3113 What is the remainder when 890265 is divided by 1006? 961 Calculate the remainder when 364205 is divided by 45456. 557 What is the remainder when 9589213 is divided by 911? 27 Calculate the remainder when 1075899 is divided by 30. 9 What is the remainder when 1685959 is divided by 39195? 574 What is the remainder when 63906 is divided by 50033? 13873 What is the remainder when 2181892 is divided by 849? 811 What is the remainder when 736148 is divided by 183872? 660 What is the remainder when 49700050 is divided by 4970003? 20 What is the remainder when 349645558 is divided by 74? 72 Calculate the remainder when 1152899 is divided by 68. 27 Calculate the remainder when 1021419 is divided by 8346. 3207 What is the remainder when 12826289 is divided by 457? 127 Calculate the remainder when 5093513 is divided by 1697827. 32 Calculate the remainder when 1126999 is divided by 3248. 3191 Calculate the remainder when 112812 is divided by 4932. 4308 Calculate the remainder when 139793 is divided by 9178. 2123 What is the remainder when 5577099 is divided by 498? 495 Calculate the remainder when 2303961 is divided by 38. 21 What is the remainder when 1058551 is divided by 352835? 46 What is the remainder when 10118051 is divided by 1633? 1616 What is the remainder when 100778 is divided by 204? 2 Calculate the remainder when 504532 is divided by 2416. 2004 What is the remainder when 2625107 is divided by 46? 25 What is the remainder when 258129 is divided by 371? 284 What is the remainder when 157091724 is divided by 243? 0 What is the remainder when 99044 is divided by 2100? 344 What is the remainder when 19773773 is divided by 3295628? 5 Calculate the remainder when 190477 is divided by 3052. 1253 Calculate the remainder when 9185123 is divided by 92777. 200 Calculate the remainder when 17703 is divided by 3509. 158 Calculate the remainder when 8261027 is divided by 152. 131 Calculate the remainder when 3249522 is divided by 799. 788 Calculate the remainder when 6452950 is divided by 901. 889 What is the remainder when 5754 is divided by 3495? 2259 Calculate the remainder when 265722 is divided by 17711. 57 Calculate the remainder when 18539 is divided by 9119. 301 Calculate the remainder when 1747379 is divided by 140. 39 What is the remainder when 1910469 is divided by 485? 54 What is the remainder when 7789365 is divided by 3122? 3097 What is the remainder when 2814478 is divided by 1941? 28 Calculate the remainder when 2905286 is divided by 6529. 6410 What is the remainder when 847883 is divided by 244? 227 What is the remainder when 97211 is divided by 1448? 195 Calculate the remainder when 186391 is divided by 155. 81 What is the remainder when 32712993 is divided by 2936? 81 What is the remainder when 14925597 is divided by 691? 688 What is the remainder when 22061 is divided by 148? 9 What is the remainder when 69391077 is divided by 1080? 1077 Calculate the remainder when 39615949 is divided by 13205315. 4 What is the remainder when 30404311 is divided by 1048424? 15 What is the remainder when 8649359 is divided by 2? 1 Calculate the remainder when 518272991 is divided by 432. 431 Calculate the remainder when 281174 is divided by 1199. 608 Calculate the remainder when 3561317 is divided by 201. 200 What is the remainder when 6428588 is divided by 641? 640 What is the remainder when 21548551 is divided by 2009? 17 Calculate the remainder when 143899 is divided by 647. 265 Calculate the remainder when 80504777 is divided by 23. 16 Calculate the remainder when 717563 is divided by 975. 938 What is the remainder when 185153 is divided by 333? 5 What is the remainder when 33230724 is divided by 54? 42 What is the remainder when 163862 is divided by 54374? 740 What is the remainder when 1404243870 is divided by 8? 6 What is the remainder when 1932606 is divided by 23284? 34 What is the remainder when 7463605 is divided by 1205? 1040 What is the remainder when 903083 is divided by 212? 175 What is the remainder when 659674 is divided by 5409? 5185 Calculate the remainder when 41965250 is divided by 3837. 3818 Calculate the remainder when 5869973 is divided by 6479. 6478 Calculate the remainder when 31050083 is divided by 9302. 7 Calculate the remainder when 60716 is divided by 57853. 2863 Calculate the remainder when 51462949 is divided by 77. 76 What is the remainder when 1524939 is divided by 480? 459 Calculate the remainder when 1248208 is divided by 6241. 8 What is the remainder when 2276068 is divided by 94832? 100 Calculate the remainder when 65006530 is divided by 2766. 2764 Calculate the remainder when 233556 is divided by 292. 248 Calculate the remainder when 309360 is divided by 309143. 217 What is the remainder when 712506 is divided by 917? 914 Calculate the remainder when 192613 is divided by 8025. 13 What is the remainder when 3925144 is divided by 245? 244 Calculate the remainder when 683050 is divided by 4465. 4370 What is the remainder when 5761 is divided by 5049? 712 What is the remainder when 125968496 is divided by 1075? 1071 What is the remainder when 56563 is divided by 13904? 947 What is the remainder when 544962 is divided by 416? 2 Calculate the remainder when 1149204 is divided by 78. 30 Calculate the remainder when 29601063 is divided by 229465. 78 Calculate the remainder when 287048 is divided by 143522. 4 Calculate the remainder when 178612 is divided by 11140. 372 What is the remainder when 2639904 is divided by 203031? 501 Calculate the remainder when 47481680 is divided by 1450. 1430 Calculate the remainder when 9853 is divided by 3197. 262 Calculate the remainder when 19631507 is divided by 4126. 4125 Calculate the remainder when 300597507 is divided by 139. 138 What is the remainder when 66421 is divided by 2702? 1573 What is the remainder when 100749 is divided by 25030? 629 Calculate the remainder when 1204280 is divided by 657. 656 What is the remainder when 94701 is divided by 1050? 201 What is the remainder when 6951979 is divided by 67? 59 What is the remainder when 228582 is divided by 5311? 209 Calculate the remainder when 25661 is divided by 124. 117 Calculate the remainder when 10894874 is divided by 636. 194 What is the remainder when 25544670 is divided by 9859? 1 What is the remainder when 134693279 is divided by 12? 11 Calculate the remainder when 307617867 is divided by 443. 439 Calculate the remainder when 368744 is divided by 6246. 230 What is the rem
{ "pile_set_name": "DM Mathematics" }
mooomhyyol. Give prob of picking 1 h and 1 o. 9/68 Calculate prob of picking 2 e when two letters picked without replacement from {j: 1, p: 2, c: 5, m: 5, i: 6, e: 1}. 0 What is prob of picking 4 j when four letters picked without replacement from {j: 7}? 1 Three letters picked without replacement from {s: 3, d: 1, z: 1, b: 3, v: 4, x: 3}. What is prob of picking 1 v, 1 d, and 1 s? 12/455 Four letters picked without replacement from {h: 1, d: 3, u: 1, f: 1, j: 1}. Give prob of picking 3 d and 1 h. 1/35 What is prob of picking 1 x and 1 s when two letters picked without replacement from {s: 1, x: 2}? 2/3 Calculate prob of picking 2 y when two letters picked without replacement from {m: 3, y: 2, b: 1, k: 1}. 1/21 Calculate prob of picking 1 v, 1 x, and 1 w when three letters picked without replacement from {r: 2, w: 1, v: 2, d: 2, x: 1, t: 1}. 1/42 Three letters picked without replacement from ptaao. What is prob of picking 1 a, 1 t, and 1 o? 1/5 Three letters picked without replacement from {u: 4, f: 14}. What is prob of picking 2 u and 1 f? 7/68 What is prob of picking 3 z when three letters picked without replacement from bcubuzzucbbuubzuc? 1/680 What is prob of picking 1 f and 3 q when four letters picked without replacement from qfqqfqffffqqffqfqqf? 70/323 Two letters picked without replacement from wwwbwwwbww. What is prob of picking 2 b? 1/45 Two letters picked without replacement from yuuyuruuqyum. What is prob of picking 1 u and 1 y? 3/11 Four letters picked without replacement from cycccyccccccccccccc. What is prob of picking 1 y and 3 c? 20/57 Four letters picked without replacement from lbhlhldlcblslhlsbh. What is prob of picking 1 s, 2 d, and 1 h? 0 What is prob of picking 2 y and 1 s when three letters picked without replacement from hyfyfsfuyfyphpufy? 1/68 Three letters picked without replacement from hzfgjgpffhfzgfg. Give prob of picking 2 f and 1 g. 8/91 Three letters picked without replacement from veevewwwgetevegewlv. What is prob of picking 2 e and 1 t? 7/323 Three letters picked without replacement from {h: 2, v: 18}. What is prob of picking 2 v and 1 h? 51/190 Two letters picked without replacement from spssssllpvssll. Give prob of picking 2 s. 3/13 Calculate prob of picking 1 l and 1 f when two letters picked without replacement from gmliggf. 1/21 Four letters picked without replacement from oeseesioisiii. Give prob of picking 2 o, 1 e, and 1 i. 3/143 Calculate prob of picking 2 g when two letters picked without replacement from {x: 10, w: 1, g: 4, o: 2}. 3/68 Calculate prob of picking 1 w and 2 t when three letters picked without replacement from {t: 15, w: 5}. 35/76 Two letters picked without replacement from {c: 5, p: 1, q: 1, m: 13}. What is prob of picking 1 p and 1 m? 13/190 Three letters picked without replacement from {v: 5, t: 1, x: 2, m: 8}. Give prob of picking 2 x and 1 v. 1/112 Two letters picked without replacement from {v: 4, h: 3}. Give prob of picking 2 h. 1/7 Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {t: 5, i: 3}. 15/28 Calculate prob of picking 2 q when two letters picked without replacement from rrrqqrrrrqqq. 5/33 What is prob of picking 2 c when two letters picked without replacement from {c: 9}? 1 Two letters picked without replacement from {b: 1, m: 4, r: 3}. What is prob of picking 1 m and 1 r? 3/7 Calculate prob of picking 1 o, 1 q, and 2 k when four letters picked without replacement from {h: 2, o: 1, c: 1, q: 2, k: 6}. 2/33 Calculate prob of picking 1 a and 2 c when three letters picked without replacement from hhhhhhhchcahhh. 1/364 Calculate prob of picking 1 x and 1 c when two letters picked without replacement from cccqccccccqxcccq. 1/10 Four letters picked without replacement from {o: 11, b: 2}. What is prob of picking 4 o? 6/13 Four letters picked without replacement from {t: 9}. Give prob of picking 4 t. 1 Calculate prob of picking 4 w when four letters picked without replacement from wrwwrrrrwrrrwrqrr. 1/476 Two letters picked without replacement from {a: 1, n: 1, p: 2, o: 1}. Give prob of picking 1 n and 1 o. 1/10 Two letters picked without replacement from {k: 4, h: 1, f: 6, x: 3, u: 2, i: 2}. What is prob of picking 2 f? 5/51 Three letters picked without replacement from iaaaiaiiiirr. What is prob of picking 1 a, 1 i, and 1 r? 12/55 Calculate prob of picking 1 u and 3 b when four letters picked without replacement from bppboybybpcuby. 10/1001 Three letters picked without replacement from bkcckksbbbkkkkkbsb. What is prob of picking 2 k and 1 c? 7/102 What is prob of picking 2 w and 1 n when three letters picked without replacement from awaaawpapapnwajaapwj? 1/190 What is prob of picking 1 h, 1 j, and 1 p when three letters picked without replacement from {g: 1, h: 1, p: 1, d: 1, i: 2, j: 1}? 1/35 Two letters picked without replacement from {j: 1, u: 2, l: 3, e: 1, r: 10, c: 1}. Give prob of picking 1 r and 1 e. 10/153 Calculate prob of picking 2 o when two letters picked without replacement from xxxxxxoooxxxxxxpp. 3/136 Three letters picked without replacement from orgulaaagug. Give prob of picking 1 u and 2 g. 2/55 Calculate prob of picking 3 g when three letters picked without replacement from {g: 1, j: 3, l: 1, u: 2, h: 6}. 0 What is prob of picking 1 l and 2 g when three letters picked without replacement from gzggzggggzzlzlppgg? 3/34 Two letters picked without replacement from yyuywyu. What is prob of picking 1 u and 1 w? 2/21 Two letters picked without replacement from {w: 1, a: 6, q: 4}. Give prob of picking 1 w and 1 a. 6/55 Three letters picked without replacement from iioiiiiioimmimi. What is prob of picking 2 o and 1 i? 2/91 Four letters picked without replacement from yoooyyyyooyoo. What is prob of picking 3 o and 1 y? 42/143 What is prob of picking 1 y and 1 c when two letters picked without replacement from aassyyaacassaaaa? 1/60 Three letters picked without replacement from {u: 5, z: 1, r: 8, e: 2, s: 2}. What is prob of picking 1 r and 2 s? 1/102 Calculate prob of picking 3 u when three letters picked without replacement from owuuuwooouwwwoww. 1/140 Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {r: 1, m: 2, u: 1, o: 1, f: 1, d: 1}. 1/21 Two letters picked without replacement from wzuuuzubzjw. Give prob of picking 1 u and 1 b. 4/55 Calculate prob of picking 1 t and 1 b when two letters picked without replacement from iiiiitfiiiistbiifizs. 1/95 Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {x: 11, o: 9}. 99/190 What is prob of picking 1 s and 1 f when two letters picked without replacement from shsfsttsxthsttxxttss? 7/190 Calculate prob of picking 3 e and 1 b when four letters picked without replacement from {s: 5, b: 3, e: 5}. 6/143 Calculate prob of picking 3 z when three letters picked without replacement from {z: 5}. 1 Three letters picked without replacement from lmskmfn. Give prob of picking 1 n, 1 k, and 1 f. 1/35 What is prob of picking 1 j, 1 w, and 1 c when three letters picked without replacement from {c: 7, v: 7, j: 3, w: 3}? 21/380 Four letters picked without replacement from pnppnnppppp. Give prob of picking 2 p and 2 n. 14/55 Calculate prob of picking 4 t when four letters picked without replacement from ttttttt. 1 Four letters picked without replacement from bhnbbnnnrrnrjnfbnf. Give prob of picking 1 n, 1 h, 1 f, and 1 r. 7/510 Three letters picked without replacement from {e: 2, b: 2}. What is prob of picking 3 e? 0 Calculate prob of picking 1 b and 2 z when three letters picked without replacement from zbyyzpzxyzpbxzpbnyyz. 3/76 Three letters picked without replacement from {y: 14, v: 1}. What is prob of picking 3 y? 4/5 Three letters picked without replacement from {q: 1, u: 2, z: 1, c: 1}. What is prob of picking 1 z, 1 c, and 1 u? 1/5 Two letters picked without replacement from vcwcyyccrviccccry. Give prob of picking 2 v. 1/136 What is prob of picking 2 e when two letters picked without replacement from hephppnhpe? 1/45 Two letters picked without replacement from rrara. Give prob of picking 2 a. 1/10 Three letters picked without replacement from mjqqvmtqavv. Give prob of picking 1 a and 2 v. 1/55 Calculate prob of picking 1
{ "pile_set_name": "DM Mathematics" }
2 = 16763 for t. -32 Solve 43*r + 6*r = 7*r + 10*r - 1280 for r. -40 Solve -22539295*r = -22539152*r + 2574 for r. -18 Solve 898 - 777 = 109*j + 867 + 889 for j. -15 Solve 123277*n - 5082 = 123200*n for n. 66 Solve -65417 = 3499*f - 235501 - 109836 for f. 80 Solve -35*l - 220 = 4*l - 1529 - 2045 for l. 86 Solve 0 = 343*m + 7467 - 15356 for m. 23 Solve 1814*o - 21353 - 11037 = -9569 + 6203 for o. 16 Solve 0 = -17640*q + 17158*q + 54948 for q. 114 Solve -119*q = 54*q - 168*q + 175 for q. -35 Solve -4609*x + 1238*x = -168550 for x. 50 Solve -112798 = -255*c - 4848*c + 424*c + 238127 for c. 75 Solve -19*n + 28 + 59 - 581 = 0 for n. -26 Solve 1126*q + 380 = 1088*q for q. -10 Solve -60194 = -4996*o + 74578 + 289021 + 115775 for o. 108 Solve -8*p + 2720 - 4843 = -117*p + 4853 for p. 64 Solve -10021 - 8216 - 7635 = 616*a for a. -42 Solve 132*p - 2047 = -271 + 6936 for p. 66 Solve 0 = 1528*s + 334165 - 181365 for s. -100 Solve -184*s - 1886 + 6121 = -6089 - 13596 for s. 130 Solve 35*q = -167*q - 1285*q - 4461 for q. -3 Solve 25979*x + 11502 = 12809*x + 12957*x for x. -54 Solve -64602 - 67386 = 1294*r for r. -102 Solve -3*t - 141*t + 3642 = 2778 for t. 6 Solve 443*a - 69419 = 1233*a + 687*a for a. -47 Solve 1099*x = 292*x + 903 - 10928 - 3694 for x. -17 Solve -722*r + 91*r - 60076 = 22*r for r. -92 Solve 29860*l - 28530*l = -134330 for l. -101 Solve 921*d = -509*d - 219*d + 1649 for d. 1 Solve 15201*h + 217429 + 25787 = 0 for h. -16 Solve 311*i = 673*i - 279*i - 2490 for i. 30 Solve -1522*c = 42*c + 7833 + 34395 for c. -27 Solve -314*c - 475 - 1827 - 6819 - 1555 = 0 for c. -34 Solve -48022*h + 47377*h - 1935 = 0 for h. -3 Solve -158306 + 79878 - 319882 = -5610*f for f. 71 Solve -3671*s - 2566*s + 1122*s + 633330 = 1695*s for s. 93 Solve 421*l = -924*l + 251*l - 55794 for l. -51 Solve 1127*h = -2126*h - 1221*h - 46799 + 431563 for h. 86 Solve -1117*r - 16604 = 69*r for r. -14 Solve 302*z = -130 - 2866 - 930 for z. -13 Solve 711*t - 5421 - 3487 = 302 + 27762 for t. 52 Solve 1149*o = 915*o + 10998 for o. 47 Solve 7407 = -336*u + 1184 + 1582 - 10143 for u. -44 Solve 1187*x - 16617 = 9355 + 26256 for x. 44 Solve 0 = -285*s - 78464 + 111239 for s. 115 Solve 68*t = 1268565 - 1271217 for t. -39 Solve -8686 = -899*q + 697*q for q. 43 Solve 0 = -28*y + 117 + 259 + 1472 for y. 66 Solve -10*v - 4421 + 16740 = -472*v - 22331 for v. -75 Solve -55*i + 1177 = 3267 for i. -38 Solve 125396 = -206*p + 134254 for p. 43 Solve -1632 = -548*h + 599*h for h. -32 Solve 362*s + 445*s + 23060 = -346*s for s. -20 Solve 8676*d - 96236 - 578851 = -630*d + 2047*d for d. 93 Solve -111942 - 125062 - 84189 = 10823*z + 100904 for z. -39 Solve 11857*s - 23795*s + 11905*s = -3432 for s. 104 Solve -61*j - 42 + 76 = 21 - 48 for j. 1 Solve 1588*v - 15104 = -628*v + 31432 for v. 21 Solve 1114*m = -5013*m + 220572 for m. 36 Solve -9527*q - 700325 = 319*q + 136585 for q. -85 Solve 0 = -96611*o + 96609*o - 156 for o. -78 Solve 2427*h = 7665 - 2811 for h. 2 Solve 19276*a - 19345*a = 2001 for a. -29 Solve 63*o + 432 = -275*o - 9032 for o. -28 Solve -60684*a = -60709*a - 215 - 910 for a. -45 Solve -11*p + 5*p = 21*p - 306 + 765 for p. -17 Solve 0 = -692*n - 408*n - 29343 + 7343 for n. -20 Solve 186*h + 18619 = -247*h for h. -43 Solve -65182 + 221874 = -1822*o for o. -86 Solve -79*l - 6610 = 139*l + 6470 for l. -60 Solve 163*t + 18*t + 1500 = -3749 for t. -29 Solve 49410 = -186156*l + 185607*l for l. -90 Solve 1235*s - 4270*s - 5268*s + 523089 = 0 for s. 63 Solve 315*r + 19751 = 1481 for r. -58 Solve 128*j - 34*j = 47*j - 4*j + 4488 for j. 88 Solve -794 - 3516 - 1690 = -300*c for c. 20 Solve -12586 = 4525*y - 50092 - 30369 for y. 15 Solve 3865*p - 7738*p = -3867*p + 300 for p. -50 Solve 7157*m = 252956 - 739632 for m. -68 Solve -40949 = 2171*n - 37857 + 52364 + 55265 for n. -51 Solve 276*o + 8497 = 769 for o. -28 Solve 2*c + 26*c = -100*c + 7148 - 2668 for c. 35 Solve 575*z - 863*z - 616*z = 479*z + 78831 for z. -57 Solve -17470 = -91*s - 7636 - 8287 for s. 17 Solve 166*d - 1678 = -113*d - 497 + 493 for d. 6 Solve -1089820 - 543840 + 46664 = 911*j - 14592*j for j. 116 Solve -714727 + 148499 = 15436*i + 1270656 for i. -119 Solve -6388 - 3753 - 12350 = 44*m - 233*m for m. 119 Solve 294*q + 40096 = -325*q - 97*q for q. -56 Solve -5042 = -950*s + 53858 for s. 62 Solve 54*k + 581204 + 23512 = 1591*k + 5662*k for k. 84 Solve -2065897 + 2065736 = -23*p for p. 7 Solve -65*q - 16*q = 838*q + 2142*q + 211209 for q. -69 Solve -803*v - 17329 = -3454*v - 107463 for v. -34 Solve -141*o + 1689 + 5182 - 4114 = -5562 for o. 59 Solve 11809 = 624*y - 21263 for y. 53 Solve 22403*c - 2014 - 4322 = 22211*c for c. 33 Solve -8186145*w = -8186045*w + 5100 for w. -51 Solve 314*c + 3937 = 123*c - 74 for c. -21 Solve -156137*s + 441 = -156088*s for s. 9 Solve 9*n - 335 + 165 = 163 for n. 37 Solve 2375*a = 865*a - 1717*a + 80675 for a. 25 Solve -37*s - 762 = 118*s + 2028 for s. -18 Solve 3485*i + 1910*i - 239384 = 1303*i - 1112*i for i. 46 Solve 93*r + 34400 = -1283*r for r. -25 Solve 81*n = -10156 + 6754 for n. -42 Solve -16*i + 127872 = 127808 for i. 4 Solve -390013*o = -389999*o - 336 for o. 24 Solve 0 = -1739*j + 1768*j + 1363 for j. -47 Solve -697*c - 1488*c = 78660 for c. -36 Solve -273*a - 1568*a + 158236 + 5613 = 0 for a. 89 Solve -60458 + 57416 = 1014*h for h. -3 Solve -284*w + 481*w - 4264 = 301*w for w. -41 Solve -75*f + 54*f - 10878 = 107*f + 131*f for f. -42 Solve 227008*l - 227022*l + 504 = 0 for l. 36 Solve -8184*n = 11032*n - 230592 for n. 12 Solve 35*m - 12725496 = -12726791 for m. -37 Solve -1239 = -502*f - 390*f - 347*f for f. 1 Solve -20*m + 8*m - 8*m + 390 + 110 = 0 for m. 25 Solve 600729*m - 601804*m - 45150 = 0 for m. -42 Solve 23111*l - 25367*l - 155664 = 0 for l. -69 Solve 8051 - 53406 = -965*r for r. 47 Solve 4371*y - 3978 + 43317 + 240405 = 0 for y. -64 Solve 148 - 133 = 9*x + 229 + 209 for x. -47 Solve 693*q + 2958 = 200*q for q. -6 Solve 1021*g - 3500 = 771*g for g. 14 Solve 5*s + 22*s + 2*s + 792 = -37*s for s. -12 Solve -48 + 32 - 28 = 16*l + 36 for l. -5 Solve 47424 + 73746 = -2885*p for p. -42 Solve 283*a + 39*a + 88*a - 21912 = -88*a for a. 44 Solve 22*f + 4*f = 5*f - 33*f + 5292 for f. 98 Solve -150*u = -2*u + 28*u - 352 for u. 2 Solve 1299*n + 3368 = -988*n + 662*n - 14507 for n. -11 Solve -331594 = -24767*h - 540021 - 853673 - 522988 for h. -64 Solve 10460*l = 552500 - 1577580 for l. -98 Solve 149*a + 58637 = -49*a + 39431 for a. -97 Solve -116*k + 17867 = 18563 for k. -6 Solve 7745*u + 726875 = -154762 + 45177 for u. -108 Solve -10*v - 97*v - 119*v + 323*v + 3395 = 0 for v. -35 Solve 1154130 - 1152544 = -26*p for p. -61 Solve 338*m + 281*m + 6760 = 20455 + 14779 for m. 46 Solve 0 = -4370*d + 2185*d + 2173*d + 204 for d. 17 Solve -507 = 96*s - 108 - 1263 for s. 9 Solve 18*x + 28284 = 27492 for x. -44 Solve 279*k + 4757 = -118*k + 464*k for k. 71 Solve -839*u = -822*u - 52 - 118 for u. 10 Solve 0 = -828*z + 684 + 10480 + 2084 for z. 16 Solve 503*v + 505*v - 2378 = 1443*v - 493*v for v. 41 Solve 2447 + 5384 = -148*d + 2207 for d. -38 Solve -2467*l = 713*l - 9612 - 3108 for l. 4 Solve 0 = 233994*k - 234048*k + 3510 for k. 65 Solve 0 = -273*m + 47584 - 42124 for m. 20 Solve 0 = 30*g - 21*g + 45 + 72 for g. -13 Solve -17605*j - 1180 = -17563*j + 2810 for j. -95 Solve 0 = -235*r - 2133 - 1530 - 97 for r. -16 Solve 0 = 3598287*c - 3598228*c for c. 0 Solve -233*q - 11766 = -164*q + 249*q for q. -37 Solve -7829 - 2055 = 2471*q for q. -4 Solve -5322 + 9 = 198*j + 55*j for j. -21 Solve 68*j + 123360 = 563*j + 393*j + 397*j for j. 96 Solve -135060*p = -134441*p + 17332 for p. -28 Solve 27954*m + 9822 - 3762 = 27894*m for m. -101 Solve 1512*j + 560*j + 80622 = -31266 for j. -54 Solve 23*l = 134 + 1280 - 103 for l. 57 Solve 269*p = -258*p + 120*p - 30118 for p. -74 Solve -4358*n - 5474*n + 68695 = -322*n + 4229*n for n. 5 Solve -37*y + 39*y - 1887 = 70*y + 43*y for y. -17 Solve -6226 + 11725 - 6488 = -23*h for h. 43 Solve -169*g = 3*g - 78*g + 3290 for g. -35 Solve -44*j + 3480 = 20*j + 52*j for j. 30 Solve -3*i + 17 - 72 = 11 for i. -22 Solve -303*v + 230*v - 710 - 604 = 0 for v. -18 Solve -1464*p + 195*p = 10077 + 16572 for p. -21 Solve 306*i = -145 - 8117 for i. -27 Solve 272*x + 222*x - 38624 = -1
{ "pile_set_name": "DM Mathematics" }
00. -1300 Let v = 215038 - 215392.14424. Let k = 0.04424 + v. Let p = -337 - k. What is p rounded to the nearest integer? 17 Let o(m) = -2*m**2 - 99*m + 13. Let x be o(-42). Suppose -6*k - x + 3121 = 0. What is k rounded to the nearest one hundred? 400 Let a = 1972.54 + -1971.390605. Let l = -44.85 - -46. Let z = l - a. What is z rounded to four decimal places? 0.0006 Let t = 3325.73 + -3299. Let r = 26 - t. Let c = r + 0.73132. What is c rounded to four decimal places? 0.0013 Let u(a) = -27*a**3 - 57*a**2 - 26*a. Let n be u(50). Round n to the nearest one million. -4000000 Let y be ((-27)/12 - (-3 + 1))*-12. Suppose 0*z - y*p = -3*z - 101691, -2*p - 101706 = 3*z. What is z rounded to the nearest one thousand? -34000 Let z = 79.160276465 - -1.839726835. Let b = 81.163 - 0.163. Let o = z - b. What is o rounded to six decimal places? 0.000003 Suppose 4*q + 8492 = 6*q. Suppose 4*s - 19242 = -q. Suppose -753 = -h - 3*b, -5*h + b + s = -0*b. Round h to the nearest 100. 800 Let p = -13.36 - 1.54. Let t = 14.89904 + p. Round t to three dps. -0.001 Let f(w) = -w**3 - 5*w**2 + 2. Let h be f(-5). Suppose -55370000 = h*p + 5*p. Round p to the nearest one hundred thousand. -7900000 Let x = 553666.80001 - 553672. Let j = 61 - 55.8. Let k = x + j. What is k rounded to four decimal places? 0 Let x(b) = b + 12. Let r be x(-14). Let j be (-238 - (-8)/r) + 4/2. What is j rounded to the nearest 1000? 0 Suppose 3*y = -12, -b - 16 = 16*y - 12*y. Suppose b = 10*l - 248351 - 1016649. What is l rounded to the nearest ten thousand? 130000 Let h = 31.9862793 - 35.956278375. Let p = -3.97 - h. What is p rounded to seven dps? -0.0000009 Let r(i) be the first derivative of -563323*i**2/2 + 31*i - 49. Let v be r(-3). Round v to the nearest 1000000. 2000000 Let h = 9102 + -9101.77075. What is h rounded to 1 dp? 0.2 Suppose -2*h + 529 = -7*u + 6*u, 5*u - 4*h + 2657 = 0. Let a = u + 344. What is a rounded to the nearest one hundred? -200 Let s = 736 + -732. Suppose 2276 = 2*i - 5*c - 10584, 4*c = -s*i + 25720. What is i rounded to the nearest 1000? 6000 Let y = 29024236652 - 84484384956. Let j = -55460148072.00000143 - y. Let z = -232 + j. Round z to 6 dps. -0.000001 Let g = -7521 - -11904. Let q be 2*(114516/(-27) + (-2)/12). Let m = q + g. Round m to the nearest 1000. -4000 Let x = 7800 + -7799.98351. Round x to 3 decimal places. 0.016 Let m be (-2)/(9 + (-12 - -5)). Let j be (m - 1074)/(8/((-6080)/(-10))). Round j to the nearest one thousand. -82000 Let f = -800.69 - -803. Let o = -2.309999479 + f. Round o to 7 decimal places. 0.0000005 Let d = -3.9593 + 917.8593. Round d to the nearest ten. 910 Let g = 1 - 0.97. Let b = 2671 + -2671.0294. Let y = b + g. Round y to three decimal places. 0.001 Let t = -176556.738 - 80.262. Let c = t - -176077.369. Let j = c + 559. Round j to one decimal place. -0.6 Suppose -4*s - 5*h + 461388 = -2*h, -h = -4. Suppose -3*i + 10230006 = -3*j, -i + 5*j + 3294666 = -s. Round i to the nearest 1000000. 3000000 Let p = -531.6999929189 - -531.7. What is p rounded to six dps? 0.000007 Let m = 1852.815 - 2186.8706. Let v = 334 + m. What is v rounded to three dps? -0.056 Suppose 5*a - 3*o = 5847054 + 4528440, 6*a - 12450598 = o. What is a rounded to the nearest 1000000? 2000000 Let t be (-6)/15 - (-75326)/(-10). Suppose 25*z + 43299 = 28*z. Let h = t + z. Round h to the nearest one thousand. 7000 Let s = -0.078 + 93.078. Let h = 4912621 + -4912714.00004. Let m = h + s. Round m to 5 decimal places. -0.00004 Let z be 1/(-2 - 7/(-4)) + (-28944)/(-1). Round z to the nearest 1000. 29000 Let i = 4304.466 - 4301. Round i to the nearest integer. 3 Let k = -11056 + 11055.999998925. What is k rounded to seven dps? -0.0000011 Let s = 17500.000000337 + -17500. What is s rounded to six dps? 0 Let h = 4898.000007351 - 4898. What is h rounded to six decimal places? 0.000007 Let m = -8.148 - -7.908. What is m rounded to the nearest 100? 0 Let s = 2538.4 - 1803. Round s to the nearest ten. 740 Let m(z) be the first derivative of -z**4/4 - 28*z**3/3 - 5*z**2/2 + 14*z - 126. Let w be m(-29). What is w rounded to the nearest one hundred thousand? 0 Let g = 0.403 + -0.41019. What is g rounded to 3 dps? -0.007 Let t = -88255.4479657 + 88254.69. Let j = 0.758 + t. What is j rounded to 6 dps? 0.000034 Let h = -0.146 + -468.854. Let v = 468.9999272 + h. What is v rounded to five dps? -0.00007 Suppose 2*f + 10874 = -5*m - 79867, -2*f + 14 = 0. Round m to the nearest one thousand. -18000 Let d be 91/(-52) - 2/8. Let a(m) = 9*m**2 + 5*m + 12. Let l be a(d). Let x be 8436*(-2 - l/6). What is x rounded to the nearest 10000? -70000 Let t = 340.98184118 - 339.74184. Let h = 8001 - 8002.24. Let j = t + h. Round j to seven decimal places. 0.0000012 Let w = -19885 - -19885.000029159. Round w to five dps. 0.00003 Let f = 1406.4 - 1437. What is f rounded to 0 dps? -31 Let m = -261468643.998092 - -261469786. Let v = m + -1142. What is v rounded to four decimal places? 0.0019 Let w = -35.2653 - 0.2147. Let p = w - -68.1. Let u = -34 + p. What is u rounded to 1 decimal place? -1.4 Let m = -41312.5397577 - -40605.539758599. Let b = m + 707. What is b rounded to seven dps? 0.0000009 Let y = 4763820551.800000722 - 4763819951.8. Let m = y - 600. Round m to 7 decimal places. 0.0000007 Let p = 6.550152 + 83195.386848. Let k = 83357 - p. Let t = 155 - k. What is t rounded to 2 dps? -0.06 Let h = -298.638 - -299. Let f = 3.059 - h. What is f rounded to 1 dp? 2.7 Let a(v) = -67689*v**2 - 3*v - 20. Suppose 2*f + 6*u = 3*u - 36, -3*f = 4*u + 53. Let w be a(f). What is w rounded to the nearest one million? -15000000 Let j = 304061367.9999905 + -304061459. Let w = 149 + -58. Let h = w + j. Round h to six decimal places. -0.00001 Suppose -d - 1 = -3*l + 6, -3*d - 10 = 2*l. Let q be 22*(3 - 2)/(d/(-6)). Suppose -30 = t - q. What is t rounded to the nearest integer? 3 Let x = 27.283969582 + -27.284. Round x to six dps. -0.00003 Let o be 10 + -6 - (42 + -2)/(-2). Suppose -23*w = -o*w + 2. Suppose 2*s + 8 = 0, -3*j + s - w*s = -35096. What is j rounded to the nearest 1000? 12000 Let n be (3/(-5))/(1/(-5)). Let c(d) = -3*d + 9. Let g be c(n). Suppose -t = -g*j - 3*j + 43800002, t = -4*j + 58399998. Round j to the nearest 1000000. 15000000 Let d be -12 + (9 - -12203997) + 1*6. Round d to the nearest one hundred thousand. 12200000 Let w be (-68)/(-16) + 2/(-8). Let j(c) be the second derivative of -27499*c**3/3 - 4*c**2 - c + 3. Let f be j(w). Round f to the nearest ten thousand. -220000 Let a = 526.510626372 - -4.489374858. Let l = a + -531. What is l rounded to 7 dps? 0.0000012 Let p = 93.00002135 - 93. What is p rounded to five decimal places? 0.00002 Let a = 68847351.99109 + -68848151. Let n = a + 799. What is n rounded to three decimal places? -0.009 Suppose i = -2*x - 1118798, -4*i = 4*x + 2566074 - 328482. What is x rounded to the nearest 10000? -560000 Let s = -1076 - -688. Let n = s + 644. Let f = 255.99999849 - n. Round f to seven decimal places. -0.0000015 Let q = -17014482 + 17014482.7699947. Let o = 0.77 - q. Round o to 6 dps. 0.000005 Let l = 4.058 - 4.05800666. What is l rounded to six dps? -0.000007 Let i = 9621 - -25644. Let u = -102735 - i. What is u rounded to the nearest 10000? -140000 Let g = 364145.999852127 + -364146. Round g to 6 decimal places. -0.000148 Let g = 6420462 + -6420266.00055. Let n = 196 - g. Round n to four dps. 0.0006 Let p = 0.92 + -1.12. Let m = -0.199268 - p. What is m rounded to 4 dps? 0.0007 Let v = 203 - -763. Let x = 965.9999985 - v. What is x rounded to five dps? 0 Let q = 0.546 + 0.216. Let d = q - 0.761998748. Round d to 7 decimal places. 0.0000013 Let x = -21781 + 51722. Suppose 5*r + 2*q + 2551 = x, -4*r + 21895 = 5*q. Round r to the nearest 100. 5500 Let k be (-124596359)/(-161) - (-15)/(-35). What is k rounded to the nearest ten thousand? 770000 Let v = -180.2 - -174. Let u = v + 6.1999778. What is u rounded to five dps? -0.00002 Let v = -4619.45 + 4652. Round v to 1 decimal place. 32.6 Let u = -227963.61 + 227014. What is u rounded to the nearest 100? -900 Let r = -18911.967102 - -18912. What is r rounded to four dps? 0.0329 Let q = -39924.2 - -43778. Round q to the nearest 10. 3850 Let a(l) = -l**3 - 74*l**2 + 216*l - 153. Let t be a(77). What is t rou
{ "pile_set_name": "DM Mathematics" }
be n(-12). Round y to the nearest 10000. -20000 Let v = -44 - -43.956. Let y = v - 0.146. Let m = -0.1900097 - y. What is m rounded to six dps? -0.00001 Let n = 72 + -72. Suppose -20*y - 396130 - 2231870 = n. What is y rounded to the nearest 10000? -130000 Let t = -1899214 + 1899187.91834. Let i = 0.08616 + t. Let o = i - -26. What is o rounded to three decimal places? 0.005 Let p = 0.09 + -0.31. Let x = p - -0.37. Let h = -0.05 + x. What is h rounded to 1 dp? 0.1 Let j be (-4)/(-14) + (-24)/84. Suppose 5*g + 4*x - 56 = j, 0*x = -2*g + 4*x. Let l be (15520/(-1))/(g/(-100)). What is l rounded to the nearest ten thousand? 190000 Suppose 60*d = -3*d + 4*d - 926359. Round d to the nearest one thousand. -16000 Let c = 23.2 - 1.2. Let q = -67 + c. Let b = q - -45.00000057. What is b rounded to seven dps? 0.0000006 Let u = -23108.00076525 + 23108. Round u to four decimal places. -0.0008 Let x = -33.2 + -95.3. Let k = -119 - x. Round k to the nearest integer. 10 Let p = -23022 + 22032.3. What is p rounded to the nearest 10? -990 Let u(z) = -9653*z**2 + 10*z + 7. Let l be u(-1). Let g = 894 - l. What is g rounded to the nearest 1000? 11000 Let d(s) be the second derivative of 7647*s**3/2 + 16*s**2 - 23*s. Let n be d(16). Let i = n + 3442912. What is i rounded to the nearest 1000000? 4000000 Let f = -0.0804 - -0.0800541. What is f rounded to 4 decimal places? -0.0003 Let u = 1770.3727 + -0.3727. Let w = 1729.62 - u. What is w rounded to the nearest integer? -40 Let m be (-1 - 3/(-15)) + (-23046)/30. Round m to the nearest one thousand. -1000 Let g = -2475.8751 + 2476. Round g to two dps. 0.12 Let d = 13506.4668 + -13503. Round d to the nearest integer. 3 Let i = -79750375.59798591 + 79750373. Let s = -2.598 - i. What is s rounded to six dps? -0.000014 Let q be (-1334699825)/(-15) + 11 + (-2)/(-3). Suppose -67*x - q = -73*x. What is x rounded to the nearest one million? 15000000 Let o = 0.38 + 7.62. Let b = o + 82. Let z = b + -90.43. What is z rounded to one dp? -0.4 Let x = -16.08 + 16.7. Let r = 0.727 - x. What is r rounded to two decimal places? 0.11 Let y = 26.15 - 1.95. Let t = 26 - y. Let q = -1.8000011 + t. What is q rounded to 7 dps? -0.0000011 Let u = -1855399 + 1855400.939951. Let i = 1.94 - u. What is i rounded to 6 dps? 0.000049 Let y = -0.0394 - 531.9606. Let a = y + 532.000002555. Round a to 7 decimal places. 0.0000026 Let j = -109.0922 - -0.7522. Let o = 1.34 + j. Let t = -106.999799 - o. What is t rounded to five decimal places? 0.0002 Suppose 21*f - r - 45760796 = 29*f, 0 = 2*r - 8. What is f rounded to the nearest 1000000? -6000000 Let v = -33052.964469 + 33053. What is v rounded to 3 dps? 0.036 Let z = -0.071 - 1.289. Let k = 1.35816 + z. Round k to 3 decimal places. -0.002 Suppose 3*l + 0*l = -413394. Suppose 5*d - 118626 = -5*n + 365369, -4*d = -3*n - 387189. Let y = d + l. What is y rounded to the nearest 10000? -40000 Let q = -58970 + 59024.742. Let g = -55.2 + q. Round g to two decimal places. -0.46 Let p = -306.8 - -40. Let v = p - -243. Round v to the nearest integer. -24 Let v = 122852569 - -251597431. Round v to the nearest 1000000. 374000000 Let z = -0.3845 - -19.3845. Let k = 63.973 + -45.604. Let p = k - z. What is p rounded to two dps? -0.63 Let a = -199 - -377. Let f = -141.4 + a. Round f to the nearest ten. 40 Let r = -304 - -303.9964. Let i = -0.00359871 - r. What is i rounded to six dps? 0.000001 Let g = 141.95 - 1.95. Let h = g - 140.00364. What is h rounded to four decimal places? -0.0036 Let t = 2796 + -2795.997671. Round t to three decimal places. 0.002 Let w = -101 - -1299. Let y = w - 1197.999998491. Round y to seven decimal places. 0.0000015 Let h = -2608 + 2607.9997377. Round h to five dps. -0.00026 Let n = 0.012313 + -0.0076409. What is n rounded to 5 decimal places? 0.00467 Suppose -12*p = -16*p + 76. Suppose -p*t + 1712904 + 504396 = 0. What is t rounded to the nearest 10000? 120000 Let u = -105.8 - 32.2. Let b = -138.00000446 - u. What is b rounded to 6 dps? -0.000004 Let t = 10180 + -10177.6579. What is t rounded to 2 dps? 2.34 Let d = 89 + -84. Suppose 3*y + y + 3352 = 4*a, -4202 = d*y - a. Round y to the nearest 100. -800 Let j be (64/48)/(4/5904) - (3 + 0). Round j to the nearest 100. 2000 Let v be (-10)/2*(-9)/15. Suppose 8*h - v*h + 43 = 3*t, -5*h - 31 = -t. Suppose -78 = 2*s - 3*r, -177 = -s + t*s - 3*r. What is s rounded to the nearest 10? -30 Let y = 23095 + -23094.997568. Round y to five decimal places. 0.00243 Let h = -0.0314 - 204.9686. Let i = 204.825 + h. Round i to 2 decimal places. -0.18 Let q = 0.032 - -0.4255. Let x = q - 0.452. What is x rounded to three decimal places? 0.006 Let w = 33040 + -33039.99918242. Round w to four dps. 0.0008 Let y = 19709755042 + -19709755949.3914733. Let l = 0.0255267 - y. Let o = 907 - l. Round o to 1 decimal place. -0.4 Let u(m) = 26*m**3 + 14*m**2 - 6*m + 16. Suppose 7*l + 40 = 12. Let w(o) = -8*o - 16. Let k be w(l). Let x be u(k). What is x rounded to the nearest 100000? 100000 Let k = -243.72711261445 - 0.27288864055. Let a = k + 244. What is a rounded to 7 dps? -0.0000013 Let n = -254642.234663 - -254643.7. Let v = n + -1.466. Round v to 5 dps. -0.00066 Let j be (-11736)/(-815) - 1*(-4)/(-10). Let k(b) = -119*b + 234. Let o be k(j). What is o rounded to the nearest 100? -1400 Let z = -4621 + 4638.588. What is z rounded to the nearest integer? 18 Let m = 3062.97135 - 3063. What is m rounded to 3 decimal places? -0.029 Let y = -4341.4 + 4341.19163. Let b = y - -0.2198. What is b rounded to 3 decimal places? 0.011 Suppose 9 + 3 = 3*c, -5*u = -3*c - 100894443. Let x = u - 39748891. Round x to the nearest 1000000. -20000000 Let n = 254838 + -150578. Round n to the nearest 1000. 104000 Let b = 26477 + -26477.01968. What is b rounded to two dps? -0.02 Suppose 33*k = -65*k - 992740000. What is k rounded to the nearest 1000000? -10000000 Suppose 0 = -5*g - 3*u - 431349985, -33*g + u - 258810005 = -30*g. What is g rounded to the nearest 1000000? -86000000 Let l = 3779.000010897 - 3779. What is l rounded to 6 decimal places? 0.000011 Let n be (-60)/(8 + -3) - (-5 + 5). Let v be ((-18075)/6*-2)/(3/n). Round v to the nearest 1000. -24000 Suppose 39*d = 292235416 - 65645416. Round d to the nearest 100000. 5800000 Let x = 2964906.10017 + -2964930. Let f = 23.9 + x. Round f to three dps. 0 Let d = -39691 - -39700.0395. Round d to 2 dps. 9.04 Let l = 903 + -1499. Let y = l + 595.579. Let s = -0.047 - y. Round s to 1 dp. 0.4 Let f = -1778179 + 358569. What is f rounded to the nearest one hundred thousand? -1400000 Let n = -19216 - -15578.6. Round n to the nearest 1000. -4000 Let q = 45 + -41. Suppose 0 = 4*g + 4*y - 2240012, y + 1784141 = q*g - 455856. Suppose -8*v + 4*v = -g. What is v rounded to the nearest one hundred thousand? 100000 Suppose 3*a + 3 = 33. Suppose 0 = 5*j + 10 - a. Let k be (2 - j) + -34303 + (-4 - -5). What is k rounded to the nearest one thousand? -34000 Let v(d) = d**3 - 51*d**2 - 65*d + 591. Let g be v(53). What is g rounded to the nearest 1000? 3000 Let r = 31852.337125 - 31356.24. Let b = -507.127125953 + r. Let c = b + 11.03. Round c to 7 decimal places. -0.000001 Let b = 558 - 1271. Let i = b - -713.0136. What is i rounded to two decimal places? 0.01 Suppose -4*k + 1186591 = 5*b + 7398329, b = -4*k - 6211730. Let l = k - -2352932. What is l rounded to the nearest one hundred thousand? 800000 Let m = -17312.8595813 + 17517.859581117. Let j = -205 + m. What is j rounded to seven decimal places? -0.0000002 Let z = -38804.00019207 - -38804. Round z to 6 dps. -0.000192 Let d = 444.00022108 - 444. Round d to 6 dps. 0.000221 Let p = 34 - -764. Let a = p - 1445. Let n = a + 647.0323. What is n rounded to three decimal places? 0.032 Let m(k) = 78 - 210 + 933*k + 91. Let c be m(-23). Round c to the nearest 10000. -20000 Let k be 1/4*(896/8)/7. Suppose 10040000 = k*o + 2*m, -13*m + 12550000 = 5*o - 9*m. What is o rounded to the nearest one hundred thousand? 2500000 Let g = -13561511 - -15506802.2. Let n = g + -1945329.200222. Let v = n - -38. What is v rounded to 5 dps? -0.00022 Suppose j - 5*v + 48565929 = 0, -3*v + v = -4*j - 194263698. Let s = j - -23865924. What is s rounded to the nearest one million? -25000000 Let g = 0.05933 - 0.07027. What
{ "pile_set_name": "DM Mathematics" }
s digit of 19042200? 9 What is the tens digit of 380370? 7 What is the hundreds digit of 1580866? 8 What is the millions digit of 1806942? 1 What is the thousands digit of 1367919? 7 What is the thousands digit of 5491455? 1 What is the thousands digit of 5635764? 5 What is the hundreds digit of 225500? 5 What is the tens digit of 4641686? 8 What is the millions digit of 1119053? 1 What is the thousands digit of 6833321? 3 What is the units digit of 1141545? 5 What is the hundreds digit of 935222? 2 What is the hundreds digit of 1280469? 4 What is the hundred thousands digit of 3305644? 3 What is the tens digit of 563942? 4 What is the units digit of 11669? 9 What is the tens digit of 79328? 2 What is the thousands digit of 2981208? 1 What is the tens digit of 3605? 0 What is the hundreds digit of 229911? 9 What is the thousands digit of 805341? 5 What is the units digit of 25027? 7 What is the tens digit of 172549? 4 What is the hundreds digit of 6313456? 4 What is the tens digit of 120419? 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{ "pile_set_name": "DM Mathematics" }
y**4 + 2*y**3 - 5*y**2 + 5. Let g(l) = -3*a(l) + 5*x(l). Factor g(q). q**3*(q - 1)*(q + 1) Let x(s) be the second derivative of -7*s**6/30 + 4*s**5/5 - 11*s**4/12 + s**3/3 - 6*s. Factor x(d). -d*(d - 1)**2*(7*d - 2) Let t(l) be the third derivative of 0*l - 1/20*l**5 + 1/2*l**3 + 0 + 3*l**2 - 1/40*l**6 + 1/8*l**4. Factor t(j). -3*(j - 1)*(j + 1)**2 Let c(i) be the second derivative of -5*i**4/3 - 5*i**3/2 + 5*i**2/2 - 27*i. Factor c(z). -5*(z + 1)*(4*z - 1) Let s(r) be the first derivative of 2/3*r**4 - 4/3*r**3 - 2/3*r - 2/15*r**5 + 4/3*r**2 - 3. Determine y, given that s(y) = 0. 1 Let h(d) = d**5 - 6*d**4 + 9*d**3 + 4*d**2 - 3*d. Let w(p) = -p**5 + p**4 + p**3 + p**2 - p. Let s(y) = -4*h(y) - 12*w(y). Suppose s(l) = 0. What is l? -3, -1, 0, 1/2, 2 Let k(f) be the second derivative of f**8/33600 + f**7/12600 - f**4/4 - 6*f. Let u(d) be the third derivative of k(d). Factor u(q). q**2*(q + 1)/5 Let v(c) be the second derivative of -c**4/16 + c**3/2 - 6*c + 2. Determine p so that v(p) = 0. 0, 4 Let q(s) be the first derivative of 0*s**2 - 1/40*s**5 - 1 + 0*s**4 + 3*s + 1/12*s**3. Let z(r) be the first derivative of q(r). Factor z(u). -u*(u - 1)*(u + 1)/2 Let g(p) be the third derivative of p**7/840 + p**6/360 - p**3/3 + 2*p**2. Let m(b) be the first derivative of g(b). Factor m(i). i**2*(i + 1) Let a be (52/455)/(1/5). Factor -a*v - 2/7 - 2/7*v**2. -2*(v + 1)**2/7 Let i(h) be the first derivative of 2*h**5 + 13*h**4/2 + 6*h**3 - h**2 - 4*h - 9. Factor i(t). 2*(t + 1)**3*(5*t - 2) Let a be 3 + (49/3)/(-7). Factor 0 - 2/3*j - a*j**2. -2*j*(j + 1)/3 Suppose 15 = 6*b - 3*b. Suppose 4*f - 14 = -3*p + b*p, 0 = -3*f + 15. Solve 5*m**p + 2*m**2 - m**2 - 4*m**3 = 0 for m. -1, 0 Let z(g) be the second derivative of 1/4*g**4 + 0*g**2 - 4*g - 1/2*g**3 + 0. Factor z(c). 3*c*(c - 1) Let i(l) be the third derivative of l**5/240 - l**4/48 + 3*l**2. Factor i(f). f*(f - 2)/4 Suppose -12 = -m - 3*m. Suppose -6*l - m*l**4 - 2*l**3 + 9*l**2 + 6*l**4 + 3*l**5 + 5*l**3 - 12*l**4 = 0. Calculate l. -1, 0, 1, 2 Let v be 8/12 + (-26)/(-6). Suppose -4*u - 12 = -4*x, 2*x - u = -v*u. Suppose 6*n - 6*n**3 - 13 - 2*n**2 + 0*n**x + 10 + 5*n**2 = 0. Calculate n. -1, 1/2, 1 Suppose 1/3*j**3 + 0*j**2 + 0 + 0*j - 1/3*j**4 - 2/3*j**5 = 0. What is j? -1, 0, 1/2 Factor 3/5*z**2 + 9/5 + 12/5*z. 3*(z + 1)*(z + 3)/5 Suppose 2*d = -m - 3*m - 28, 2*m + 2*d + 18 = 0. Let j = 10 + m. Factor -j*b - 8*b**2 + 2*b + 294*b**5 - 266*b**4 + 80*b**3 + 3*b. 2*b**2*(3*b - 1)*(7*b - 2)**2 Let i be (-12)/8*(-42)/9. Suppose -i*o - 8 = -9*o. Factor 0*m - 2/5*m**2 + 0 + 4/5*m**3 - 2/5*m**o. -2*m**2*(m - 1)**2/5 Suppose 0 = -0*j + 2*j + 14. Let b = -3 - j. Factor 15*o**2 - 2*o + 7*o**4 - b*o**2 - 16*o**3 + 0*o. o*(o - 1)**2*(7*o - 2) Let u(r) be the second derivative of -r**4/72 - r**3/36 + 9*r. Suppose u(i) = 0. What is i? -1, 0 Suppose l + 1 - 41 = 4*s, 0 = 2*l - 2*s - 50. Suppose 4 - 6*k + l*k - 10*k + k**2 = 0. What is k? -2 Let -35*g**3 - g**5 + 48*g**3 + 18*g**4 + 39*g**3 - 72*g**2 + 16*g - 13*g**5 = 0. Calculate g. -2, 0, 2/7, 1, 2 Let w = -156 + 161. Solve -2/5*q**3 + 2/5*q**w + 0*q**4 + 0*q**2 + 0*q + 0 = 0. -1, 0, 1 Factor 32*a**5 + 13*a**2 + 84*a**4 + 28*a**4 + 4 + 152*a**3 + 87*a**2 + 32*a. 4*(a + 1)**2*(2*a + 1)**3 Suppose 5*x - 2*z - 2 = 0, -z - 4*z = -20. Let t be x/(-11) - (-96)/44. Let 5*s**4 + 15*s**3 - 3*s**3 + t*s + 9*s**2 + 0*s**3 = 0. What is s? -1, -2/5, 0 Let q(m) = m**3 + 6*m**2 + 5*m - 2. Let i be q(-5). Let l be 5 - (2 + (i - -1)). Factor 3*a - a**2 - l*a + 0*a**2. -a*(a + 1) Suppose -b + 7 + b**3 + 0 - 2*b**2 - 3 - 2 = 0. Calculate b. -1, 1, 2 Let b(n) be the first derivative of n**5/105 - n**4/84 - n**3/21 + 3*n**2/2 + 4. Let u(g) be the second derivative of b(g). Factor u(h). 2*(h - 1)*(2*h + 1)/7 Let x be -3 - 10*(-3)/6. Suppose 3*j - x*m = 10, -2*j + m + 3 = -3. Suppose 1/4*f + 0 + 1/4*f**j = 0. Calculate f. -1, 0 Let y be (4 + -4)/(-2) + -33. Let j be 16/y - 8/(-12). Suppose -2/11*o**2 + 2/11 + 2/11*o**3 - j*o = 0. What is o? -1, 1 Let l be -3 + 10*(-2)/(-4). Factor 0*n + 5*n**2 + 4*n + n**l + 4*n**2. 2*n*(5*n + 2) Let t be 3/(1 - (-31)/(-34)). Let m be 2/(-9) + t/72. Let -m*y**2 + y - 1 = 0. Calculate y. 2 Let n(a) be the first derivative of -a**6/57 - 8. Factor n(r). -2*r**5/19 Suppose 2*x - 3 = 3. Suppose -p + 2*i + 6 = 0, x*i + 2 = 5*p + 7*i. Solve -2/7 + 0*f - 2/7*f**4 + 4/7*f**p + 0*f**3 = 0. -1, 1 Let d be 3/(-3)*(-1 - -4)/(-1). Factor -2/9*y**2 + 2/9*y**5 + 0*y + 2/9*y**4 - 2/9*y**d + 0. 2*y**2*(y - 1)*(y + 1)**2/9 Let t(m) be the first derivative of m**8/112 - 2*m**7/35 + 3*m**6/20 - m**5/5 + m**4/8 + 3*m**2 + 8. Let w(r) be the second derivative of t(r). Factor w(z). 3*z*(z - 1)**4 Let v(l) = -l**3 + l. Let g(i) = -6*i**3 + 6*i. Let c(h) = -g(h) + 4*v(h). Factor c(u). 2*u*(u - 1)*(u + 1) Let v(c) be the second derivative of c**6/225 - 11*c**5/150 + 4*c**4/15 + 4*c**3/5 - 22*c. What is y in v(y) = 0? -1, 0, 6 Suppose j - 5*j = 8. Let y = 0 - j. Let -25/2*q**4 - y*q + 8*q**2 - 5/2*q**3 + 0 = 0. What is q? -1, 0, 2/5 Let i be (-4)/(-8) + (-5)/(-2). Factor -8*j**5 + i*j**5 + 2*j**5 + 3*j**4. -3*j**4*(j - 1) Let r(u) be the second derivative of u**6/10 + 3*u**5/10 + u**4/4 - 4*u. Suppose r(a) = 0. Calculate a. -1, 0 Let b(x) be the first derivative of x**6/10 + 3*x**5/10 + x**4/4 + x + 6. Let i(q) be the first derivative of b(q). Find g such that i(g) = 0. -1, 0 Let s(l) = -l**2 + l - 1. Let h(m) = 20*m**2 + 32*m - 3. Let d(x) = 4*h(x) - 20*s(x). Factor d(a). 4*(a + 1)*(25*a + 2) Let r(j) be the third derivative of -j**5/360 - 5*j**4/144 - j**3/9 + 8*j**2. Let r(n) = 0. What is n? -4, -1 Let f(l) = 58*l**2 - 190*l - 72. Let n(w) = 23*w**2 - 76*w - 29. Let r(b) = -5*f(b) + 12*n(b). What is u in r(u) = 0? -2/7, 3 Let i be 36/16 - 12/6. Determine r, given that -i*r**2 + 1/4*r + 0 = 0. 0, 1 Let c = -61 + 309/5. Factor -c + 2/5*n + 2/5*n**2. 2*(n - 1)*(n + 2)/5 Suppose -5*k = 5*x - 80, 2*x + 59 = 2*k + 3*k. Factor -4*w - w**2 + k*w**2 - 6*w**3 + 13*w**3. w*(w + 2)*(7*w - 2) Let b(z) be the second derivative of z**6/1620 + z**5/270 - 2*z**3/3 - 4*z. Let t(l) be the second derivative of b(l). Factor t(x). 2*x*(x + 2)/9 Factor 6/5*r**3 - 6/5*r**4 + 0*r + 0 - 2/5*r**2 + 2/5*r**5. 2*r**2*(r - 1)**3/5 Let i(v) be the third derivative of -v**5/60 + v**4/8 + v**3/3 + 3*v**2. Let x be i(3). Suppose x + 4*j - 3 - 6*j - j**2 = 0. Calculate j. -1 Factor y - 2*y**3 + 2*y - 3*y - 2 + 2*y + 2*y**2. -2*(y - 1)**2*(y + 1) Let w be ((-9)/48)/(147/(-28) + 5). Factor 3/4*j - w*j**3 - 3/4*j**4 + 3/4*j**2 + 0. -3*j*(j - 1)*(j + 1)**2/4 Suppose -5*x = -14 - 6. Let -w**3 + 3*w**5 - w**x + w**4 - 2*w**5 = 0. Calculate w. -1, 0, 1 Let a(l) = -l**2 + l. Let s(r) = 2*r**2 - 4*r. Let h(p) = -a(p) - s(p). Suppose h(j) = 0. Calculate j. 0, 3 Let d = 150337/108 - 1392. Let u(w) be the third derivative of d*w**4 + 2*w**2 + 0*w**3 + 0 + 0*w - 1/135*w**5 + 1/540*w**6. Factor u(x). 2*x*(x - 1)**2/9 Let n = -2 - -5. Factor -1 + 0*l**4 - 7*l + 2*l**n + 5*l + l**4. (l - 1)*(l + 1)**3 Let h be 105/91 + 2/(-13). Factor 0 - h - 2*y**3 + 6*y - 3. -2*(y - 1)**2*(y + 2) Let w(q) be the second derivative of 0*q**3 + 0*q**2 + 0 - 1/24*q**4 + 2*q. What is o in w(o) = 0? 0 Let x(t) = 8*t - 48. Let q be x(6). Let g(v) be the third derivative of 1/40*v**5 + q - 1/280*v**7 + v**2 - 1/8*v**3 + 0*v + 0*v**6 + 0*v**4. Factor g(y). -3*(y - 1)**2*(y + 1)**2/4 Let x(h) = h**2 - 5*h + 2. Let u(n) = 12*n**2 - 66*n + 27. Let q(t) = -2*u(t) + 27*x(t). Factor q(z). 3*z*(z - 1) Let j be 4*2/(-4) + -30. Let b be j/(-10) + 4/(-20). Find x such that 2/5*x**4 + 4/5*x**b + 2/5*x**2 + 0*x + 0 = 0. -1, 0 Find s such that -4/3*s**2 - 4*s + 16/3 = 0. -4, 1 Let p be (-76)/(-16) + (-9)/12. Let q be 102/108 + (-2)/p. Factor q*g**4 + 0*g**3 - 2/9*g**5 + 2/9*g - 4/9*g**2 + 0. -2*g*(g - 1)**3*(g + 1)/9 Suppose 5*x = f - 0*f - 22, 2*f = -x. Suppose -5*d + 2*a + 2 + 3 = 0, -16 = -f*d - 2*a. Factor -2/3*b + 1/3*b**2 + 0 + 1/3*b**d. b*(b - 1)*(b + 2)/3 Let c(r) be the first derivative of -1/12*r**2 + 1 + 1/18*r**3 + 0*r. Factor c(s). s*(s - 1)/6 Let f(o) be the second derivative of 1/21*o**4 - 8/105*o**6 + 3*o + 1/70*o**5 + 0*o**2 + 0*o**3 + 0 + 5/147*o**7. Factor f(k). 2*k**2*(k - 1)**2*(5*k + 2)/7 Let g(p) = p - 4. Let z be g(4). Let f be ((-16)/(-6
{ "pile_set_name": "DM Mathematics" }
t z be (-26)/(-45) + (-68)/153. Put -0.5, x, -0.1, z in ascending order. -0.5, -0.1, z, x Let b = 0.5 + 36.5. Let o = -42 + b. Put -4, -1, o in descending order. -1, -4, o Let z(h) = -h**3 - 15*h**2 - 30*h - 225. Let b be z(-14). Sort b, -5, 411 in ascending order. -5, b, 411 Let f be (-2)/(-10) - (11732/(-1085) - -11). Sort -2/9, -2, f. -2, -2/9, f Suppose 0 = 5*b + 16 - 6. Let s(i) = -i**3 + 13*i**2 + 8. Let k be s(13). Put -3, k, 3, b in increasing order. -3, b, 3, k Suppose 2*a + 250 = -4*c, -a + 354 = -5*c + 38. Let p = -64 - c. Sort p, 21, 3, -4. -4, p, 3, 21 Let p = -311.2 - -311. Let n = -5 + 1. Sort -3, -4/9, n, p in descending order. p, -4/9, -3, n Let g(m) = -2*m**2 + 6*m + 40. Let q be g(6). Let s(v) = v**2 + 2*v - 5. Let p be s(-4). Suppose 3 + p = -3*l. Sort q, 1, l. l, 1, q Let b be 36/(-24)*4/(-9). Let s(c) = c**3 + 4*c**2 - c + 1. Let y be s(-4). Let m = -82 + 413/5. Sort y, m, b. m, b, y Let l be 0 + 0 + 0/3. Let q(o) = 6*o - 21. Let g be q(3). Sort g, l, -4, 4 in increasing order. -4, g, l, 4 Let m = 136 - 142. Let q be (9/(-45))/(m/20*-4). Sort 4, 2/5, q in increasing order. q, 2/5, 4 Let u(m) = -m**2 - 34*m + 105. Let i be u(-37). Sort i, -5, 11 in descending order. 11, -5, i Suppose 7*m - 2*m = -2*w - 4, -w + 3 = 0. Put m, 4, -5, -1 in increasing order. -5, m, -1, 4 Let b = -198 - -197.5. Sort -3/7, -11, 2, b in descending order. 2, -3/7, b, -11 Let f(r) = 9*r + 21. Let y(k) = 5*k + 10. Let u(l) = -3*f(l) + 5*y(l). Let w be u(-6). Sort w, 2/15, 1. w, 2/15, 1 Let z = 2/2265 + -757/2265. Put z, 3, -3, 11 in increasing order. -3, z, 3, 11 Let g be 8 + (-6)/(-9)*(-8 - -5). Suppose a - 9 = -3*f, -2*a + 2*f = 4*f - g. Sort a, -5, 2 in ascending order. -5, a, 2 Suppose -5*s + 12 = 3*g, 8 = 58*g - 54*g + 4*s. Sort 2, 24, -5, g in decreasing order. 24, 2, g, -5 Let b = -699 - -6289/9. Sort -0.3, b, -1/3 in ascending order. -1/3, -0.3, b Suppose 0 = 6*j - 6 - 12. Let t = 4 - 8. Suppose 0*h + 4 = 2*h. Sort t, j, h in descending order. j, h, t Let j be (6 - 8)*(-8)/((-48)/9). Let t(q) = q**2 - 6*q + 2. Let k be t(6). Suppose d + 2*o = -12, k*o = d + o - 3. Sort j, d, -1 in ascending order. j, d, -1 Let b = 1457 + -1462. Put 4, b, -0.3, -19 in descending order. 4, -0.3, b, -19 Suppose -z + 2*g = -6, -17*g - 21 = -5*z - 16*g. Put 0, z, -1 in decreasing order. z, 0, -1 Suppose 17*v = -5*v + 5*v. Put 6, 9, v in increasing order. v, 6, 9 Suppose 3*n - 12 = -6. Suppose -n*z = -0*z + 4. Sort -1, -0.4, z in descending order. -0.4, -1, z Suppose -z - 10 = 5*b, 4*b - 5*z - 35 + 14 = 0. Sort b, 4, -2. -2, b, 4 Let t = -168 + 168. Sort t, 4, -7.2 in increasing order. -7.2, t, 4 Let o be (-3 + 2)*(-25 + 24). Sort 5, o, 11, -26. -26, o, 5, 11 Suppose 0 = -3*y + 2*m + 10, 10 + 16 = y + 5*m. Let b be y/4*12/(-18). Let g be b*(-2 + 21/9). Sort -5, g, 0.1. -5, g, 0.1 Let b = -1 + -3. Suppose -10*v = -7*v + p, -20 = 5*v - 5*p. Sort b, v, -2 in descending order. v, -2, b Let u = 0.1763 - 2.1763. Put u, -1.7, 37 in increasing order. u, -1.7, 37 Let r = -568 - -577. Sort 5/2, 0, r, 2 in ascending order. 0, 2, 5/2, r Let u = 1470 + -1479. Sort -5, -2, u, -4. u, -5, -4, -2 Let z = 10 - -13. Suppose 6*d - j + z = d, -5*j = -3*d - 5. Put -4, -1, 5, d in ascending order. d, -4, -1, 5 Let w(p) = p**3 + 15*p**2 - 2*p - 20. Let v be w(-15). Let d(c) = 2*c - 23. Let u be d(v). Sort 3, 5, u. u, 3, 5 Let f = 102 - 97. Put -1/3, 13/4, f in increasing order. -1/3, 13/4, f Let g(w) = -186*w - 1297. Let x be g(-7). Suppose 5*d - 366 + 151 = 0. Sort d, -3, x in ascending order. -3, x, d Let r = -5.54 - -1.54. Put -0.4, -0.2, r, -5 in descending order. -0.2, -0.4, r, -5 Let h be 8/(-10)*(-90)/(-4). Let w = h + 10. Let d be (-26)/w - 5/20. Sort -1, d, 1. -1, 1, d Let v(m) = -m**3 + 18*m**2 + 18*m + 28. Let k be v(19). Suppose -6*s - 42 = -k*s. Sort -0.5, -0.2, s in increasing order. -0.5, -0.2, s Let g(b) = 12*b + 103. Let i be g(-6). Sort 2, 4, 1, i in descending order. i, 4, 2, 1 Suppose 0 = -14*v + 16*v + 6. Put 2, 9, -2, v in increasing order. v, -2, 2, 9 Let c be 658/8 - ((-285)/(-20) - 16). Sort 3, c, -2/11 in ascending order. -2/11, 3, c Let v = 40 - 36. Put v, -2, 2, 9 in increasing order. -2, 2, v, 9 Let l = 1.4 + 0.6. Let d = 3998.942 + -4004. Let x = -0.058 - d. Put 0.05, x, l in decreasing order. x, l, 0.05 Suppose 20 = -2*w + 5*t, 4*t = 13 + 3. Let a(s) = -3*s + 14. Let y be a(10). Put w, y, -3 in increasing order. y, -3, w Suppose -5*x - 50 = 5*w, -4*x - 7 + 2 = -3*w. Let g be 5 + (-36)/(-6) + -13. Sort 1, w, 4, g. w, g, 1, 4 Suppose 27 = -7*k + 16*k. Sort 1, 4, 2, k. 1, 2, k, 4 Let a(x) = x**2 + 19*x + 35. Let z be a(-17). Let c = -1 - -4. Suppose -c*y = -4*b + 10, -y - 16 = y - 5*b. Sort 0, z, y in ascending order. 0, z, y Let b = 32 - 31. Let s = -27.2 - -27. Sort s, b, -0.1, -2/9 in ascending order. -2/9, s, -0.1, b Let f(k) = 22*k**2 - 1. Let t be f(1). Let n = 12 - t. Let q be (-108)/(-378)*14/(-4). Put q, -5, n in ascending order. n, -5, q Suppose 3*w + 4 = 16, -5*l + 2*w = -7. Put 28, l, 5, 1 in ascending order. 1, l, 5, 28 Let y = 0.113 + -0.813. Let a = -12 + 6. Let k = a + 5.5. Put 3, y, k in decreasing order. 3, k, y Suppose 0 = 26*t - 17 - 35. Sort t, 76, 4. t, 4, 76 Let w be 2/(-7) + (-120)/70. Sort -9, w, -4, -5. -9, -5, -4, w Let p = 15.88 + -24.7. Let u = 0.18 - p. Let x = -9.1 + u. Put x, -0.4, 6 in descending order. 6, x, -0.4 Let k(y) = y**3 - 12*y**2 - 11*y + 2. Let s be k(13). Let t be 1*((-8)/(-10))/(s/10). Sort 0.4, t, -0.1 in descending order. 0.4, t, -0.1 Let p = -28.9 - -28.921. Sort p, 2/15, -1 in decreasing order. 2/15, p, -1 Suppose 23*f + 23 - 23 = 0. Sort -0.1, f, -0.092, -3 in ascending order. -3, -0.1, -0.092, f Let g(z) = -6*z - 262. Let y be g(-43). Suppose -5*u - 16 = 9. Sort u, y, 3, -3 in ascending order. u, y, -3, 3 Suppose 440*h - 448*h = -8. Let q = 4.5 - -0.1. Let g = 5 - q. Put -8, g, h in decreasing order. h, g, -8 Let r = -0.2 - 0.3. Let q = 25 + 31. Let u = q - 62. Put r, -3, u in descending order. r, -3, u Let z = 2.343 - 2.46. Let j = z + 1.997. Let q = -0.12 - j. Sort 2, -0.4, q. q, -0.4, 2 Let m = 11 + -7. Let f = -4.985 + 0.97. Let l = f - -0.015. Put l, -2, m in decreasing order. m, -2, l Let l(g) = g**2 + 22*g - 20. Let n be l(-23). Suppose 0 = o - 5*s + 20 - 7, 0 = 4*o + s + 10. Sort 27, o, n in descending order. 27, n, o Let v be (27/(-6) + 6)/(1/(-2)). Let g = 15 - 11. Sort g, -1, -2, v. v, -2, -1, g Let u = 76 + -73. Let p = -2 - 0. Sort u, -0.5, p. p, -0.5, u Let g = 16.05 + -0.05. Let w = g + -16. Let a = w - 3. Sort -1/5, a, -0.4 in increasing order. a, -0.4, -1/5 Let f = -3.83 + 8.83. Put -5, f, 4, 0.06 in decreasing order. f, 4, 0.06, -5 Let o = 19.4 - 20. Let y = o - -0.7. Let b = 28 - 30. Sort y, b, 1/2 in increasing order. b, y, 1/2 Let i(t) = 8*t + 9. Let g be i(0). Let z(o) = -o**3 + 10*o**2 - 12*o + 26. Let f be z(g). Put 4, f, 8 in decreasing order. 8, 4, f Let g = -211 - -211.4. Put 5, 0.1, g, 1.8 in descending order. 5, 1.8, g, 0.1 Let v = 475 - 447. Put v, -1, 4 in increasing order. -1, 4, v Let s = 685 - 688. Put s, -2/5, 88, -4 in decreasing order. 88, -2/5, s, -4 Let r(g) = g**3 + 8*g**2 + 12*g + 7. Let k be r(-6). Sort 0, -1, 2, k in decreasing order. k, 2, 0, -1 Suppose 2*s = -2*s + 3*g + 35, s + 4*g - 23 = 0. Let h be (s/22)/((-1)/(-2)). Let d be -1*(-3 - 1/1). Put d, -0.3, h in decreasing order. d, h, -0.3 Let g be 117/182*(-574)/(-12). Let q = 30 - g. Put q, -0.1, 4/7, -4 in decreasing order. 4/7, -0.1, q, -4 Let n(f) = -f**2 + 16*f + 1. Let p be n(0). Sort 6, 2, p in decreasing order. 6, 2, p Let k be 2*(3 - (-81)/(-18)). Sort -4, k, 0, -10 in decreasing order. 0, k, -4, -10 Let p(d) = 2*d**3 + 27*d**2 - 4*d + 136. Let x be p(-14). Suppose 2*j + 4*r + 8 = 0, 2*r + 3*r = 2*j - 19. Sort j, 4, -3, x in ascending order. x, -3, j, 4 Let r be (-15 - -6)*(-1)/3. Suppose -r*k = 4*k. Put 4, k, 2 in descending order. 4, 2, k Let n = 350 + -349. Sort 4, 2, 0, n in decreasing order. 4, 2, n, 0 Let i be 0/(-1) + (1 - -1). Let d(h) = h**3 + 9*h**2 - h + 90. Let m be d(-10). Put m, -4, i in decreasing order. i, m, -4 Let y = -11 + 14. Let c = -3.11 - -2.11. Sort y, c, 7, -5 in ascending order. -5, c, y, 7 Let s = -290 - -286. Sort -1, s, -5, -11. -11, -5, s, -1 Let s = 298 - 299. Sort -0.
{ "pile_set_name": "DM Mathematics" }
6*v + 8. Let y(z) = l*b(z) - 3*d(z). Determine y(5). 0 Let d(u) = -u**2 + 7*u + 7. Let b be d(7). Suppose -g + 3*q = b, -3*g = g + 2*q - 14. Let w(n) = 4*n + 1 - 6*n + n**2 + 0 + 2. Calculate w(g). 3 Let t = -2/3 + 1. Let u(r) be the second derivative of 0 + 3*r - t*r**3 - 2*r**2 + 1/12*r**4. Give u(4). 4 Let c = 1 - -3. Let f be 30/(-7) + c/14. Let i(z) = -6*z + 3. Let p(m) = -7*m + 3. Let d(r) = f*p(r) + 5*i(r). Determine d(3). -3 Let n(m) = -2*m - 3. Let d = -22 - -34. Let f = d - 17. What is n(f)? 7 Let c(o) = -o**2 + 3*o - 1. Let h(n) = 18*n + 2. Let b be h(-1). Let y = 19 + b. Determine c(y). -1 Let t(f) = -f**2 + 10. Let z be t(0). Suppose -z = -4*i + i - w, 0 = -4*i + 2*w. Suppose -k = i*k. Let s(h) = -h**2 + h + 3. Give s(k). 3 Let x be ((-2)/5)/((-2)/20). Let v(r) be the first derivative of -3 + 3 + r - 3 - r**2 - 1. What is v(x)? -7 Let n(m) = -5. Let u(a) = a - 21. Let c(f) = -9*n(f) + 2*u(f). Let v = -22 + 9. Let d = v - -16. What is c(d)? 9 Let v(x) = -x + 7. Let n = 2 - 3. Let h(f) = 5*f**2 - 1 - 4*f**2 - 6*f**3 - f**2. Let j be h(n). What is v(j)? 2 Let l(b) = -b**2 + b + 2. Let t(u) = u**2 - 2*u + 1. Let z be t(5). Suppose 0*h - 4*h + z = 0. Suppose -h*n = -n + 6. What is l(n)? -4 Let b(m) be the second derivative of 7*m**5/20 + m**4/12 + m**3/3 + m**2/2 + 2*m. Let c be (-7)/5 + (-14)/(-35). What is b(c)? -7 Let g(a) = 1 - 1 + 3 - a**2 - 4*a. Suppose -2*p - 2 = 3*i, 2*i - 6*i - 5*p - 5 = 0. Suppose -z - 5 + 1 = i. Determine g(z). 3 Let r(t) = 5*t**3 - 5*t**2 - 5*t + 5. Let k(s) = -14*s**3 + 14*s**2 + 14*s - 15. Let z(x) = 4*k(x) + 11*r(x). What is z(0)? -5 Let t be (-3 + 5)*(2 + -3). Let k be ((t - -2) + 1)*5. Let r(y) be the first derivative of y**2/2 - 12*y + 1. Determine r(k). -7 Let k(d) = 9*d**3 + 4*d**2 + 19*d + 7. Let f(y) = -4*y**3 - 2*y**2 - 9*y - 3. Let i(x) = -13*f(x) - 6*k(x). Determine i(2). -5 Suppose -2*k - j = 4*j - 12, 5*k - 30 = 4*j. Let y(z) = -27*z + 29*z - z**2 + z**3 - 4 + k*z**2. Let i be 2/5 - 51/15. Give y(i). 8 Let o(f) = -4*f**2 - 1 + 5*f**2 - 9 - 7*f. Calculate o(7). -10 Let j(f) = -3*f + 2. Suppose 0 = 4*d + 10 + 2. Let a = d - -5. What is j(a)? -4 Suppose 0 = -7*s + 9*s - 40. Suppose j - f - 24 = 4*f, 0 = 5*j - 5*f - s. Let u(d) = -8*d**3 - 2*d**2 - 2*d - 1. What is u(j)? 7 Let q be (-1)/(2 + (-33)/15). Let h(x) = -x**2 + 4*x + 7. Give h(q). 2 Let i = -4 + 7. Let s(v) be the second derivative of 1/6*v**i - v + 0 - 3/2*v**2. Determine s(5). 2 Let x be -1 - (2 - (-4)/(-4) - 2). Let b(u) = -2*u**2 + 4*u + 4. Let z(k) = -5*k**2 + 11*k + 11. Let s(w) = -8*b(w) + 3*z(w). Calculate s(x). 1 Suppose -i - 3*o + 25 = 0, -3*o + o + 54 = 3*i. Let s be (-8 + 2)*(-10)/(-6). Let n = i + s. Let q(c) = c**2 - 7*c + 7. Calculate q(n). 1 Let d(f) = 5*f - f**3 + 0*f - 2*f + 3*f**2 + 4. Let i be d(4). Let x(a) = a**3 + a**2 + a - 2. What is x(i)? -2 Let o(p) be the first derivative of 11 + 3/2*p**2 - 2*p + 1/3*p**3. Determine o(3). 16 Let u(p) be the third derivative of p**6/120 + p**5/15 + p**4/12 - p**3/2 - 15*p**2. What is u(-3)? 0 Let f(j) be the first derivative of 7/2*j**2 + 1 + 3*j + 1/3*j**3. What is f(-6)? -3 Let p(z) = z**3 - 7*z**2 + 5*z - 3. Let k(b) = -b**2 - 9*b + 11. Let r be k(-10). Let q be 8*1 - (3 - r). What is p(q)? -9 Let x(h) be the first derivative of h**3/3 - 7*h**2/2 + 9*h + 7. Give x(7). 9 Let s(p) = 2*p**2 + 3*p + 1. Let u(z) = z**2 + 3*z. Let t(l) = 2*s(l) - 3*u(l). What is t(3)? 2 Let h(a) be the first derivative of -a**4/4 + a**2/2 - 2*a - 6. Let c(z) = -z + 6. Let j be c(6). Calculate h(j). -2 Let b(g) = -10*g**3 - g**2 + g + 1. Let a(o) = -o**2 + 5*o - 2. Let h be a(4). Suppose 0 = h*s + 1 + 1. Give b(s). 9 Let c(n) = n - 2. Let j(t) be the third derivative of t**6/120 - t**4/24 - t**3/3 - t**2. Let h be ((-9)/(-3))/((-9)/(-6)). Let m be j(h). Give c(m). 2 Let g(u) = -2*u - 3. Suppose -4*n = -5*p + 4, -4*n - p - p + 24 = 0. Suppose 0 = -f + n*f - 15. Suppose -f*l - 6 = 9. Give g(l). 3 Let t(k) = 5*k**3 + k**2. Let m be t(1). Let s(w) = 7*w**2 - 6*w - 7. Let z(a) = 7*a**2 - 5*a - 6. Let v(d) = m*z(d) - 5*s(d). What is v(1)? 6 Let o(d) = 2*d**2 + 9*d + 1. Let z be (4/(-6)*9)/1. Give o(z). 19 Let a(i) = -3*i + 1. Let k(p) = -p + 1. Let x(c) = -2*a(c) + 5*k(c). Determine x(0). 3 Let h(q) = q + 7. Let w be (-6)/8 - (-1)/(-4). Let y(v) = 1. Let t(m) = w*h(m) + 3*y(m). Calculate t(0). -4 Let w(c) = -c**2 - 1. Let q(a) = 5*a**2 + a. Let s(t) = q(t) + 4*w(t). Let d be s(-3). Let y(o) = -2*o**2 + 2*o. What is y(d)? -4 Let k be (-1)/(6/4 - 2). Let r(a) = -a**2 + a - 2. Give r(k). -4 Let p(d) = d**2 + 11*d + 12. Suppose 2*b - 26 = 5*b + 2*z, 3*z - 29 = 4*b. Determine p(b). -12 Let k(h) = 3*h**2 + 1 - h**2 - 3*h**2 - 2*h**3. Let d(q) = q + 7. Let x be d(-6). What is k(x)? -2 Let u(z) = -3*z - 3 - 2*z**3 + 3*z**3 - z. Suppose f - 4*b = 6, -5*f - 2*b = 7 + 7. Determine u(f). -3 Let o(l) be the third derivative of -l**6/120 + 2*l**5/15 - 3*l**4/8 + l**3 + 11*l**2. Determine o(7). -8 Let w(p) = p**3 - 5*p**2 + 3*p + 1. Suppose 0 = 2*s - 0*s - 16. Suppose -15 = -s*o + 3*o. Let h = o - -1. Give w(h). -3 Suppose 0*g + 100 = -5*i - g, -47 = 3*i - 2*g. Let c = i - -22. Let t(b) = -2*b**3 + 3*b**2 + 3*b + 3. Calculate t(c). -15 Let c(v) = -v**2 - 9*v + 3. Let s be c(-9). Let n = s - 5. Let u(q) = q**2 + 4*q. Calculate u(n). -4 Let i(p) = -8*p - 4*p**2 - 5 + 3*p**3 - 2*p**3 + 4*p + 3. Calculate i(5). 3 Suppose 0 = j + 5*p - 10 - 2, 0 = j - 4*p + 6. Let l(k) = -k + 0*k + 3*k**2 - 2*k. Determine l(j). 6 Let k(t) be the first derivative of -5*t**2/2 + 23. Let j = 2 + -2. Suppose c - 1 = -j. What is k(c)? -5 Let q(l) = l**2 - l - 6. Suppose 0*x = -5*x. Give q(x). -6 Let z(l) be the second derivative of -l**5/20 + l**4/4 + l**3/6 - l**2 + 40*l. Determine z(2). 4 Let b = 5 - 4. Let w(o) = -b + 9*o + 3 - 1. What is w(-1)? -8 Let r(l) = -3*l - 4. Suppose 3*q + 35 = -5*i, 5*i - 2*q - 2 = -12. Let t(m) = 6*m - 3. Let g(h) = h - 1. Let d(x) = -10*g(x) + 2*t(x). Let u be d(i). Give r(u). 8 Let l(z) be the third derivative of 0 + 1/12*z**5 + 1/3*z**4 - 1/120*z**6 + 0*z + 0*z**3 + 3*z**2. Determine l(6). 12 Let h be (3/6)/(3/(-60)). Let q = h + 11. Let u(w) = 7*w**3. Calculate u(q). 7 Suppose -4*y - 5 = y + 5*w, -2*w - 8 = -4*y. Let o(a) = -14*a - 1. Calculate o(y). -15 Suppose 4*l = 27 - 7. Suppose -g = -2*g + 5. Let v(f) = -f + 4 - g - 5 + 2*f. Determine v(l). -1 Let p(v) = 0 + 0 - 6*v - 1 - 2*v**2 + 2*v. Let n(o) = o**2 + 5*o + 1. Let t(k) = -3*n(k) - 2*p(k). Calculate t(7). -1 Let t(m) = m**3 + 7*m**2 + 8*m + 5. Let g be (-14)/2 - (-2)/2. What is t(g)? -7 Let m(p) = -p + 2. Let t(w) = -w**3 + 2*w**2 - 5*w + 4. Let z be t(1). Give m(z). 2 Let l(b) = -b**2 - 2*b. Let r be 4/8*6*-1. Calculate l(r). -3 Let n(l) = l**3 - l**2 - 5*l + 1. Let v(h) be the first derivative of 0*h**3 + 0*h + 3 + 2*h**2 - 1/4*h**4. Let x(b) = -2*n(b) - 3*v(b). Calculate x(-3). -5 Let t(f) = -5*f**2 - 1. Let l(d) = d**3 + 8*d**2 - 8*d + 8. Let i be l(-9). Calculate t(i). -6 Let h(m) = m**2 + 5*m - 5. Let d be h(-6). Let z(s) = -9*s + 1. Determine z(d). -8 Let b(j) = 2*j**2 - 3 - j**3 - 2 + 3 + 6*j - 2. Let q(x) = -2*x**3 + 3*x**2 + 11*x - 9. Let o(d) = -7*b(d) + 3*q(d). Calculate o(6). -17 Suppose 31 = -8*y + 7. Let z(g) be the first derivative of -g**4/4 - g**3/3 + g**2 - 2*g + 2. What is z(y)? 10 Suppose -2*w - 6 = w. Let y = 5 + w. Let q(a) = 13*a**2 + 4*a - 6. Let u(s) = -5*s**2 - 2*s + 3. Let i(b) = -2*q(b) - 5*u(b). Give i(y). -6 Let g(y) = -3*y**3 - 8*y**2 - 5*y - 13. Let r(q) = -2*q**3 - 4*q**2 - 2*q - 7. Let f(o) = 3*g(o) - 5*r(o). What is f(5)? -4 Let b(t) = 4*t**2 - t**2 + 3*t - 2*t**2 + 3. Let h be ((-1)/(-3))/((-4)/36). Let s be 1/((-2)/h + -1). Determine b(s). 3 Let b(y) = 3*y**2 - 4. Let a(z) = 7*z**2 + z - 8. Let r(x) = 4*a(x) - 9*b(x). Suppose -5*l + 2 = 22, 3*n - 4*l = 4. What is r(n)? 4 Let w(q) = -2*q + 17. Let s(j) = j - 8. Let b(o) = -9*s(o) - 4*w(o). Suppose 5*u - 8 = -23. What is b(u)? 7 Let i = 3 - -2. Suppose 5*g - g + 28 = 0. Let x(a) = -3*a**2 + 2*a - 7. Let y(f) = -4*f**2 + 3*f - 10. Let b(p) = g*x(p) + i*y(p). Give b(1). 1 Let r(z) = z + 5. Let u = -1 - -5. Suppose -u - 8 = 3*g. What is r(g)? 1 Let k = 11 + -8. Suppose 0 = 2*p + k*p - 5. Let u(z) = -4*z**3 - z**2 - z + 1. Determine u(p). -5 Let a(m) = -3*m**2 + 5*
{ "pile_set_name": "DM Mathematics" }
412*s Collect the terms in 70827*c**2 - 35221*c**2 - 35617*c**2. -11*c**2 Collect the terms in -42*l**3 - 30*l - 1 + 3 - 2. -42*l**3 - 30*l Collect the terms in 1154*d + 2*d**3 - 1154*d - 5*d**3 + 355*d**2. -3*d**3 + 355*d**2 Collect the terms in 13*h - 8*h - 9*h - 52*h + 18*h. -38*h Collect the terms in -78*t**3 - 66*t**3 - 14*t**3 - 63*t**3 + 343*t**3. 122*t**3 Collect the terms in -57*l**2 + 124*l**3 + 29*l**2 - 243*l**3 + 31*l**2 + 120*l**3. l**3 + 3*l**2 Collect the terms in 3275 - 13119 + 3*q + 3281 + 3283 + 3280. 3*q Collect the terms in -2*h - 745*h**3 + 11*h**2 + 6*h**2 - 6*h**2. -745*h**3 + 11*h**2 - 2*h Collect the terms in -7 + 35 - 89*z + 27*z. -62*z + 28 Collect the terms in 45*s + 43*s - 132*s + 60*s. 16*s Collect the terms in -20*y**3 + 26*y**3 + 128*y - 20*y**3. -14*y**3 + 128*y Collect the terms in -5829*i + 14*i**2 + 5829*i + 2*i**3. 2*i**3 + 14*i**2 Collect the terms in -121*p**2 - 111*p**2 + 230*p**2. -2*p**2 Collect the terms in 2250*y - 6737*y + 2241*y + 2249*y. 3*y Collect the terms in 255*s - 65*s - 63*s - 68*s - 69*s. -10*s Collect the terms in -272*c**2 + 137*c**2 - 266*c**2. -401*c**2 Collect the terms in 353*j**2 + 3 - 709*j**2 + 348*j**2 - 3. -8*j**2 Collect the terms in -64*u - 13*u - 186*u. -263*u Collect the terms in -920*w + 462*w - 18 + 444*w + 12. -14*w - 6 Collect the terms in 7414*x**2 - 18028*x**2 - 7636*x**2. -18250*x**2 Collect the terms in 14*d**2 + 10 - 10 + 23*d**2. 37*d**2 Collect the terms in -3342*x**2 - 2*x + 7*x - 5*x. -3342*x**2 Collect the terms in 87*g - 41*g - 44*g + 1106. 2*g + 1106 Collect the terms in -4 + 4 - 19*t**2 - 7391166*t + 7391166*t. -19*t**2 Collect the terms in -s**3 - 1002 + 2*s**3 - 2*s - 2*s**3 - 839. -s**3 - 2*s - 1841 Collect the terms in -11049 + 22100 - 11051 + c**2. c**2 Collect the terms in -13*x**3 + 3*x**3 - 4*x**3 - 55*x**2 + 55*x**2 - 9*x**3. -23*x**3 Collect the terms in 20 - 20 + 45*g**3 - 49*g**3 - 145*g**3. -149*g**3 Collect the terms in -4304*o**2 - 4300*o**2 - 4305*o**2 + 12907*o**2. -2*o**2 Collect the terms in 232*s**3 + 294*s**3 - 580*s**3. -54*s**3 Collect the terms in 1639179*f**2 - 819584*f**2 - 819594*f**2. f**2 Collect the terms in 545*n**3 - 707*n**3 + 5*n**2 - 3*n**2. -162*n**3 + 2*n**2 Collect the terms in -501*x**2 + 525*x - 265*x - 260*x. -501*x**2 Collect the terms in 205237 - 1313*q - 205237. -1313*q Collect the terms in 756*l**2 + 3 + 2 - 3. 756*l**2 + 2 Collect the terms in 120*g**2 + 195*g**2 - 508*g**2 + 197*g**2 + 2 - 2. 4*g**2 Collect the terms in -6*q**2 - 7*q**3 + 22*q + 0*q**2 + 6*q**2. -7*q**3 + 22*q Collect the terms in 553 - 15*m**2 - m - 25*m**2 - 15*m**2 + 54*m**2. -m**2 - m + 553 Collect the terms in 383*h**3 - 276*h**3 + 655*h**3. 762*h**3 Collect the terms in -3342 - 5*f**2 + 3342 - 9*f**2 + f. -14*f**2 + f Collect the terms in 14*g + 29*g + 15*g**3 - 43*g. 15*g**3 Collect the terms in 248 + 259 + 4*p**2 - 728 + 258 + 4*p**2. 8*p**2 + 37 Collect the terms in -6*l + 27*l**2 + 1 + 0 + 5*l - 20. 27*l**2 - l - 19 Collect the terms in 94*n - 287*n - 8 + 91*n + 99*n. -3*n - 8 Collect the terms in 50813*n**3 - 25394*n**3 - 25406*n**3. 13*n**3 Collect the terms in -58*f - 10 + 55*f - 2 + 12. -3*f Collect the terms in -73*f - 3 + 0 - 26 + 29. -73*f Collect the terms in 0*v - 987*v**3 + 0*v + 911*v**3. -76*v**3 Collect the terms in -2677 + 2677 - 2*h**3 - 29*h. -2*h**3 - 29*h Collect the terms in 3 - 2*r**2 - 23*r + 31*r**2 + 3 - 5. 29*r**2 - 23*r + 1 Collect the terms in -t**2 + 10201*t**3 + 2*t**2 - 799*t**3 - t**2. 9402*t**3 Collect the terms in -304 + 77*x**3 + 304 + 12*x**3. 89*x**3 Collect the terms in -465 + 1415 - 477 - 473 - 18*o**3 - 2*o**2. -18*o**3 - 2*o**2 Collect the terms in -15660*l + 3187*l - 3163*l - 4903*l. -20539*l Collect the terms in -13 + 477*v - 279*v + 13. 198*v Collect the terms in -49 + 49 - 6*r**2 + 5338*r. -6*r**2 + 5338*r Collect the terms in 2739*j + 11660*j - 1557*j. 12842*j Collect the terms in 545*d + 395*d - 935*d. 5*d Collect the terms in -16*g**2 - 12*g + 2*g + 12*g. -16*g**2 + 2*g Collect the terms in -57*g - 127*g + 181*g. -3*g Collect the terms in 5477295 - 5477295 - 28*u. -28*u Collect the terms in 1 - 4 + 5*g**2 + 2058*g - 2058*g. 5*g**2 - 3 Collect the terms in 1925*v**2 + 0*v - 8*v + 19*v. 1925*v**2 + 11*v Collect the terms in -4*g**2 + 41*g - 125*g + 35*g - 10 + 40*g + 23. -4*g**2 - 9*g + 13 Collect the terms in -363*m + 220*m + 158*m. 15*m Collect the terms in 46*k**2 + 85*k**2 - 281*k**2 + 51*k**2 + 45*k**2 + 52*k**2. -2*k**2 Collect the terms in 9*h**3 - 3*h**3 - h**3 - 1328105*h**2 + 1328105*h**2. 5*h**3 Collect the terms in -2306*w**3 + 83*w**2 + 2301*w**3 - 83*w**2. -5*w**3 Collect the terms in 705*f**3 - 265*f**3 - 425*f**3. 15*f**3 Collect the terms in -257*w**3 + 897*w**3 - 316*w**3 - 329*w**3. -5*w**3 Collect the terms in 1984 + 9*w**3 - 1003 - 981. 9*w**3 Collect the terms in 92*a - 92*a - 3983*a**2. -3983*a**2 Collect the terms in -473*v - 464*v - 442*v - 472*v - 467*v + 2315*v. -3*v Collect the terms in 33 + 102 - 10 - r**3 - 9. -r**3 + 116 Collect the terms in 352*p**2 - 182*p**2 - 181*p**2 - 13*p. -11*p**2 - 13*p Collect the terms in -f - 2650 + 0*f - 63773. -f - 66423 Collect the terms in -6242*t**2 + 3122*t**2 + 3118*t**2 + 43. -2*t**2 + 43 Collect the terms in r**3 - 30*r**3 + 2149211*r - 2149211*r. -29*r**3 Collect the terms in n - n + 632*n**3 - 235*n**3. 397*n**3 Collect the terms in 2562*j - 4 - 2562*j + 2*j**3. 2*j**3 - 4 Collect the terms in -33*s**2 - 104*s**2 - 380*s**2. -517*s**2 Collect the terms in -23*i**2 + 86*i**2 - 38*i**2 - 39*i**2. -14*i**2 Collect the terms in 4 - 1336*l**2 + 1 + 1338*l**2. 2*l**2 + 5 Collect the terms in -1419*d**3 - 126*d**3 - 526*d**3 - 738*d**3. -2809*d**3 Collect the terms in 1646*i**3 - 843*i**3 - 742*i**3. 61*i**3 Collect the terms in -1075 + 2128 - 293*x**2 - 1055. -293*x**2 - 2 Collect the terms in -39 + 2*y**3 - 14 + 47. 2*y**3 - 6 Collect the terms in x + 1 - 4 + 3 - 5. x - 5 Collect the terms in -t**3 + 2*t**3 + 4*t**3 - 13*t. 5*t**3 - 13*t Collect the terms in 151*o - 7*o + 152*o - 67*o + 196*o. 425*o Collect the terms in 62*m + 50 + 39 + 42 - 131. 62*m Collect the terms in 38*v**3 - 90*v**3 - 1 + 1 + 26*v**3. -26*v**3 Collect the terms in 7*d**2 - 5*d**2 - 35*d**2 + 16*d**2. -17*d**2 Collect the terms in -18 - 406*h - 30 + 70 - 22. -406*h Collect the terms in 112*j**2 - 131*j**2 + 68*j**2. 49*j**2 Collect the terms in 2 - 77*s**2 - 14 + 19 - 7. -77*s**2 Collect the terms in 0*b + 21923*b**3 + 18231*b**3 + 0*b - 40151*b**3. 3*b**3 Collect the terms in -130*h + 482*h - 356 + 356. 352*h Collect the terms in 316*o - 77*o - 80*o - 153*o. 6*o Collect the terms in 163*v**2 + 37*v**2 + 45*v**2 - 247*v**2. -2*v**2 Collect the terms in -2*k + 388*k**2 + 2*k + 26*k**2. 414*k**2 Collect the terms in -2*m**2 + 611*m - 832*m + 5765*m. -2*m**2 + 5544*m Collect the terms in 3*w - 3*w - 56824*w**2. -56824*w**2 Collect the terms in 2*d + 0*d + 43999 - 43999. 2*d Collect the terms in -46*h**2 - 38*h**2 - 37*h**2 + 125*h**2. 4*h**2 Collect the terms in -314*q**2 + 25*q - 58*q + 33*q - 69*q**2. -383*q**2 Collect the terms in 341*j - 23*j**3 - 341*j - 50*j**3. -73*j**3 Collect the terms in -3654922*p**3 + 0*p**2 + 0*p**2 + 0*p**2 + 3654943*p**3. 21*p**3 Collect the terms in -1348*m**2 - m - 1303*m**2 + m + 2661*m**2. 10*m**2 Collect the terms in -1492*r - 5 - 8658*r - 4900*r. -15050*r - 5 Collect the terms in -7*c**3 + 38849*c**2 - 38867*c**2 + 5*c**3. -2*c**3 - 18*c**2 Collect the terms in -38 - 18*w**2 + 38 + 222*w**2. 204*w**2 Collect the terms in 806 + 787*t - 806. 787*t Collect the terms in 168407*c - 336796*c + 168391*c. 2*c Collect the terms in -78*m - 71*m + 250*m - 117*m. -16*m Collect the terms in 44*w**3 + 134*w - 253*w + 123*w. 44*w**3 + 4*w Collect the terms in -1195*l - 1183*l + 5 + 2377*l. -l + 5 Collect the terms in 37*j + 50*j + 44*j - 217*j + 88*j. 2*j Collect the terms in -35 - 4*q - 86 + 5*q. q - 121 Collect the terms in -1832 - 11*p + 11*p - 2*p**2. -2*p**2 - 1832 Collect the terms in i - 3*i + 553 - 98*i**2 + 3*i. -98*i**2 + i + 553 Collect the terms in -465 + 236 - 2*c + 229 + 13*c**2. 13*c**2 - 2*c Collect the terms in 57*i + 76*i - 17*i**3 - 176*i + 43*i. -17*i**3 Collect the terms in 0*x**3 + 53*x**3 - 32*x**3 - 16*x**
{ "pile_set_name": "DM Mathematics" }
e (-42)/(-12) + l/(-2). Solve -4*g - 2*d - 3*d + 16 = 0, -d - 12 = -q*g for g. 4 Suppose -5*q - p - p + 25 = 0, -5*q = -4*p + 5. Solve 0 = 4*a - 5*k - 6, -q*k = 3*a - a + 8 for a. -1 Let p be (2 + (2 - 4))/1. Suppose -2*a - 10 = -2*w, 2*w - 10 = -p*a - a. Solve 2*g = 5*t + 7, a*g + 3*g = -2*t + 1 for g. 1 Let a be (-1)/(1/(17/1)). Suppose 0*h - h = -39. Let f = a + h. Solve -d - f = -5*g - 3*d, 5*g - 5*d - 15 = 0 for g. 4 Let s be -3 + 4/((-12)/(-9)) - -2. Solve s*u = 3*z + 22, 2*u - 33 = 2*z - 3*u for z. -4 Let d(n) = -2*n - 5 + 4 + n - 1. Let r be d(-13). Solve 0 = 4*x + 3*k - r, k = 2*x + 2*k - 5 for x. 2 Let m(h) = h**2 - 7*h. Let w be m(8). Suppose -6*s + 4*s - k = -w, 3*s + k = 14. Solve 0 = b - n + s, n - 2 + 0 = 0 for b. -4 Suppose 5*n + 38 = 2*a + 3*n, 5*n - 57 = -3*a. Suppose 2*s + 1 = -m - 0*m, -3*s = 5*m + a. Let l = 1 + s. Solve -l*p + 3*d = -15, -3*p + 7 = -4*d + 5*d for p. 3 Suppose 34 = 5*g - 3*p - 0*p, 3*g - 2*p - 21 = 0. Solve 0*n = g*l + n + 20, 25 = -5*n for l. -3 Let q = 33 + -22. Suppose -5*m + 19 = -q. Solve 0 = 5*j - 2*d + 27, -2*j + m*j + 3*d + 17 = 0 for j. -5 Suppose -12 = -d - 8. Let p(i) = -i + 3. Let k be p(3). Solve 4*x = -d*q - k - 12, -5 = -q + 3*x for q. -1 Let f(k) = 21*k**3 - 2*k**2 + 3*k - 2. Let t be f(1). Let q = -5 - -9. Solve 16 = 4*p - 0*x - x, q*x + t = 5*p for p. 4 Suppose 0 = q - 5*x + 23, -2*x - x = -5*q - 5. Solve -5*l + 4*l - 3*j = -15, -q*j = -3*l - 10 for l. 0 Let x(m) = -m**2 - 12*m + 5. Let i be x(-12). Solve 5*g + 3 = -i*w + 28, -5*w - g = -9 for w. 1 Let p(i) = i**3 - 5*i**2 + 9*i - 7. Let w be p(3). Solve -w*f - 5*z + 4*z - 2 = 0, 0 = 2*f + 3*z - 2 for f. -2 Let t be (-8)/(-28) - (-178)/14. Let u = 5 - 2. Solve 9 = s + p - u*p, p - t = -3*s for s. 5 Let s = 2 + -2. Suppose 0 = -4*y - 2*u, 0 = -s*y - y + 5*u. Suppose -4*t = t - 15. Solve -r - 7 = -t*r - h, r + 2*h + 1 = y for r. 5 Suppose 11*b = b + 20. Solve 0 = b*n + 5*m - 10, -4*n + 20 = -0*m - 3*m for n. 5 Let p(f) = -f**3 - 3*f**2 + f - 5. Let h be p(-4). Suppose -h*g + 8*g = 0. Let a = g + 7. Solve -3*m + a = -5*t, -5*m = -t + 3 - 0 for t. -2 Let m(h) = -2*h**2 - 16*h - 14. Let r be m(-7). Let a(l) = l + 5. Let p be a(0). Let c be (1 - 0)/(1/p). Solve r*o + 2*u - 14 = -o, -u + c = 0 for o. 4 Let h(s) = 3*s**2 + 1. Let d be h(1). Solve 0 = 2*i + 3*i + d*q - 21, -2*q + 9 = i for i. 1 Suppose q = 3*q. Let w = q - -3. Suppose 3*k = -2*k - 2*r + 84, 0 = r + w. Solve b - 3*b = 2*j - 2, 2*b - 2*j = -k for b. -4 Let i(d) = -d**3 + 2*d**2 + d - 1. Let j be i(3). Let n = -5 - j. Solve -2*u - q = -n, 8 = 4*u + 2*q - q for u. 3 Let c = 0 - -4. Suppose -2*t + c*b = -6, 23 + 6 = 5*t + 4*b. Solve -t*k - 40 = 5*m, 3*k + 3*m + 18 = 2*k for k. -3 Suppose 0 = -7*f + 4*f + 168. Suppose -100 = 5*y + 2*o, -4*y - f = -o + 37. Let v be (-4)/y - 42/(-11). Solve -3*s - 4 - 15 = v*i, 2*i - 4*s + 4 = 0 for i. -4 Let i(d) = 3*d + 1. Let m be i(2). Solve -20 = -l - 3*q, q = 6*l - m*l + 10 for l. 5 Suppose 5 = 5*f - 5*z, 0 = -2*f - 0*f + 4*z - 2. Solve 6 = -5*u + f*p - 7, -2*p = -2 for u. -2 Suppose 13*n - 9*n = 40. Solve -2*s - 20 = 5*b, 2*b - 7*b = -4*s - n for b. -2 Suppose 6 = 3*s - s. Suppose -s*w = w + 2*o - 44, 6 = 3*o. Let x = -11 - -15. Solve 5*c = -3*r + 6, -2*c - w + 2 = -x*r for r. 2 Suppose 3*a + 0*a = 3*p + 33, 4*p + 4*a = -36. Let z be (-2)/5 - (-46)/p. Let t = z + 8. Solve 2 = -2*v - t*b, 5*v + 0*b - b = -22 for v. -4 Let w(s) = 2*s. Let c = -13 - -14. Let m be w(c). Solve q = 5*b - m, 0*b - 4*b + 4*q - 8 = 0 for b. 1 Let z be 0 - (-3)/(-2)*-2. Suppose -2*w = 5*h - 29, 2*w - z*h = -h - 6. Suppose -w*d - 3 = -7. Solve 0 = 5*y - 3*c + 13, -d*y + 2 = c + 5 for y. -2 Let p(j) = -j**3 + 12*j**2 + 14*j + 2. Let x be p(13). Let t = x - 10. Let a(y) = -3*y**3 - 1. Let c be a(-1). Solve t*z = -s + z, -c*s = -4*z + 12 for s. -4 Let d = 4 - 2. Let k = d + -2. Suppose 0*a + a = 0. Solve 3*f + f - 3*v + 15 = k, -4*f + 5*v - 25 = a for f. 0 Suppose -10*y - 11 = -41. Solve -s + j + 8 = -j, y*s = 2*j + 4 for s. -2 Suppose -5*w = -b - 3*w + 10, 5*b = 4*w + 26. Solve 5*l = b*q - 25, -q = -4*l - 2*q - 7 for l. -3 Suppose -13 = -6*f - 1. Solve 0 = -2*q + 8, 4*w = f*q - 3*q - 16 for w. -5 Suppose -3*m = -3, -2*f + 3*m = 3*f - 22. Suppose 0 = -2*i + 2*w, f*w - 9 = 2*w. Let k = 16 + -8. Solve -3*z - r = -2 + 4, 0 = 2*z + i*r - k for z. -2 Let r = -13 - -17. Suppose u + z + 24 = 6*u, 3*z + 12 = 3*u. Solve 4*y - r = -16, 0 = -5*m - u*y for m. 3 Let t(v) = v**2 + 5*v + 2. Let q be t(-5). Suppose 10 + 2 = 4*p. Suppose 2*w + 6 = -2*x, 0 = -w - 4*w + x + p. Solve -q*c - 3*m = 10, -4*c - 10 + w = m for c. -2 Let n(f) = -3*f + 25. Let t be n(5). Solve -q + 6 = -3*h - 4*q, 5*q = 3*h - t for h. 0 Let c(m) = 2*m. Let d be c(2). Let g = -1 - -1. Let a be (g + -4)*-1*1. Solve -2 = q + a*y + y, -d*q = 3*y - 9 for q. 3 Suppose 3*a + 7*a = 30. Suppose 5*o - 24 = -4. Let g(x) = -x**2 + 6*x - 3. Let j be g(o). Solve a*q + 3 = 0, -j*p - 5*q + 8 = -2 for p. 3 Suppose -3*v = 2*l + 4, -l - 4*v = -7*v - 16. Solve 1 + 15 = l*j + 5*x, -3*j - 3*x = -9 for j. -1 Let r = 47 - 25. Suppose -2*z - 2*s + 4 = -s, -5*s = -4*z + r. Suppose k - 20 = -z*k. Solve 17 = -3*h - d + 3*d, 20 = k*d for h. -3 Let a(h) be the third derivative of -h**4/24 - 2*h**3/3 - h**2. Let p be a(-6). Solve -5*j - 24 = p*m, 4*j = -5*m - 11 - 15 for j. -4 Let o = -23 + 28. Solve l + 6 = -2*h, -o*l + 3*h - 13 + 48 = 0 for l. 4 Suppose -28 = -5*m - 3*z, 5*m + 4*z = 2*m + 19. Solve -2*v - 2 + 1 = -l, -m*v - 4 = -4*l for l. 1 Let z be (-26)/(-4) + 9/(-6). Solve 0 = z*i - 3*j - 9, 0*j - 15 = -2*i + 5*j for i. 0 Let d = 2 - -5. Solve -5*v - 2*n = -d, -3*n - 1 = -4 for v. 1 Let u be (12/15)/(1/5). Solve 0 = l - 4*x - u, 2*x + 16 = -0*l - 3*l for l. -4 Let i be (-2 + -6)*1/2. Let n = i + 17. Let h be (n/(-2) - -2)*-2. Solve 2*r = r - 3, 3*d + r + h = 0 for d. -2 Suppose 9*v = 11*v - 6. Solve 2*g - 12 = v*c + c, -5*g = -5*c - 15 for c. -3 Let i be (-3 - -7) + -1 + 2. Solve 0 = 5*l - 5*k + 3*k + 21, -i = -l + 5*k for l. -5 Suppose 2*h = 3*h. Suppose h = -5*q - 13 + 73. Solve -2*g - 4*t + 28 = q, -g + 2*t = 12 for g. -2 Suppose -4*p + 11 = -1. Let x = 6 - p. Suppose -u + 7 = 5*b, -5*b - 5 = x*u + 2*u. Solve 0 = 2*t + 2*j - 4*j, -b*t = -3*j + 2 for t. 2 Suppose -2 = -2*g + 2. Let l(r) = 5*r - 10. Let b be l(4). Solve 2*t + b = -v, -g*v + 6*v - 4*t - 8 = 0 for v. -2 Let f be (-1 - -2) + 0 - -3. Let y(x) = -x**2 - 4*x - 1. Let s be y(-4). Let v be s/(-2) + (-1)/(-2). Solve 2*k - 13 = 3*j, 1 = 2*j + f*k - v for j. -3 Let b = 8 - 5. Suppose -4*f = -b*f - 2. Solve -z = f*a + z - 20, 0 = -5*a - 2*z + 35 for a. 5 Let s(b) = -b**3 + 1. Let d be s(-1). Suppose 0 = d*q + 4, 3*q + 2*q + 8 = -c. Solve -c*j + 13 = o, -j = -4*j + 5*o for j. 5 Let g(m) = -2*m + 7. Let f be g(7). Suppose -35 = -k - 4*k. Let s = k + f. Solve 4*d - w + 4 = s, -d + 3*d = -3*w - 2 for d. -1 Let f be 1 + -1 + (9 - 9). Suppose 3*z + 0 - 3 = f, -z - 14 = -3*y. Solve -25 = y*w - 3*v, -9 = 2*w - v + 1 for w. -5 Let d = -16 + 6. Let a be (3 + (-28)/8)*d. Let s be (-2)/3*18/(-4). Solve 5*c = -s*g, -a*c + 0 + 5 = 2*g for c. 3 Suppose 5*i = -3*x - 10, -x = -5*x + i + 2. Suppose -t - 4*o + 39 - 14 = x, 30 = t + 5*o. Solve -3*v - t*c = -6*v - 5, -3 = -3*c for v. 0 Suppose i = -0 + 4. Suppose 0*y = y. Suppose y = -4*r + 6*r. Solve a = -4*w - r*w + 9, 4*w - 24 = i*a for w. 3 Let u = -48 + 68. Solve -o - o - 15 = -g, -u = o - 3*g for o. -5 Suppose -3*c + 44 = 4*q, 3*c - q = 4 + 30. Let s = 31 - 20. Suppose 5*t = 3*j + 14 + s, 0 = -j. Solve 3*v + c = 3*y, -2*v + 0*v - t = y for y. 1 Let o be (-22)/(-8) - 1/(-4). Solve -13 = -0*r + o*r - p, 0 = -5*p - 10 for r. -5 Let c = 7 - 4. Suppose c*a - 9 = -0*a. Suppose 0 = -l + a*l - 32. Solve l = -4*r - 5*j, -j + 5 - 4 = 5*r for r. 1 Suppose -a = -5*a - 16. Let z = 1 - a. Let u = -3 + 6. Solve 0 = -u*h + 3*l - 2*l + 2, -z*h = 5*l + 10 for h. 0 Let m = 9 - 7. Suppose -3*t - 3*w + 10 = -m, -2*t = -2*w - 4. Solve -9 = 5*r - t*q + 1, 2*r - 5*q = -23 for r. 1 Let r(q) = -q**3 + 6*q**2 - 4*q - 1. Let c be r(5). Suppose 0 = -4*j - s + 11, 2*j + 4*s - c = 6*j. Solve j*d = d - 4*w + 14, -2*d = -3*w + 5 for d. 2 Let i be (-72)/(-16)*(-2)/(-3). Suppose -2*m + i = -17. Solve 5*n + 5*l - m = 0, -4*n + 10 = n + l for n. 2 Suppose 0 = -6*v + 7*v - 8. Solve 3*c =
{ "pile_set_name": "DM Mathematics" }
-5*j*(j - 30)*(j - 2) Let b(h) be the first derivative of -h**5/5 + 4*h**4/3 + 10*h**3/3 - 98*h - 77. Let o(d) be the first derivative of b(d). Factor o(c). -4*c*(c - 5)*(c + 1) Factor -2/5*z**2 + 92/5*z - 208. -2*(z - 26)*(z - 20)/5 Suppose -395 = -4*v + 5*o - 38, -3*v - 3*o + 261 = 0. Factor -8*l - 4 - v*l**2 + 48*l**2 + 36*l**2. -4*(l + 1)**2 Let z(l) be the second derivative of -3*l**5/20 + l**4/2 + l**3/2 - 3*l**2 - 120*l + 1. Find t, given that z(t) = 0. -1, 1, 2 Suppose 2*p - 37 = -31. Factor 1 + 25*a**4 - 24*a**4 - 16*a**p + 16*a**3 - 2*a**2. (a - 1)**2*(a + 1)**2 Let f(j) be the first derivative of j**6 + 4*j**5/5 - 9*j**4 + 8*j**3 + 7*j**2 - 12*j - 3758. Factor f(m). 2*(m - 1)**3*(m + 3)*(3*m + 2) Let t(d) be the first derivative of -d**5/20 + 7*d**4/12 - 5*d**3/2 + 9*d**2/2 - 33*d - 50. Let m(a) be the first derivative of t(a). What is y in m(y) = 0? 1, 3 Factor 187272 + 1/2*z**2 - 612*z. (z - 612)**2/2 Let s(p) = 135*p - 15. Let a be s(2). Factor -5*h**2 - 57*h - 13*h - a + 10. -5*(h + 7)**2 Let t = 97407/35 - 2783. Let z(k) be the first derivative of 0*k + 1/21*k**6 - 2/21*k**3 + 5 - 1/14*k**4 + 0*k**2 + t*k**5. Factor z(i). 2*i**2*(i - 1)*(i + 1)**2/7 Let 9580/9*z**3 + 103040/9*z + 1/9*z**5 + 53000/9*z**2 + 190/9*z**4 + 67712/9 = 0. Calculate z. -92, -2 Let g = -70158/5 + 141021/10. Let 8 + g*x**2 - 40*x + 49/4*x**4 - 203/4*x**3 = 0. Calculate x. 4/7, 1, 2 Suppose 11*g**3 - 150*g**2 - 15*g**3 - 11232 - 2304*g + 31*g**3 - 16*g**3 - 14*g**3 = 0. What is g? -26, -12 Let s(p) be the second derivative of p**6/195 + 129*p**5/130 - 87*p**4/26 + 131*p**3/39 + 3531*p. Suppose s(r) = 0. Calculate r. -131, 0, 1 Suppose a - 4*a = -114. Suppose 0 = -a*o + 37 + 39. Factor -6*i + 3*i**3 - 3/2*i**4 - 6 + 9/2*i**o. -3*(i - 2)**2*(i + 1)**2/2 Let q be (11730/(-1564))/((-15)/6). Factor 31250/3*j**q - 10750*j**2 + 336*j - 8/3. 2*(j - 1)*(125*j - 2)**2/3 Let m(b) be the third derivative of 119*b**5/40 - 179*b**4/4 + 3*b**3 + 3194*b**2. Let m(r) = 0. Calculate r. 2/119, 6 Let i be (-1)/(-9) - (-32)/(-288). Let y be -1 - i - (-91)/(-140)*-4. Let -4*q**2 - y*q + 12/5 = 0. Calculate q. -1, 3/5 Factor 136 + 2/9*u**3 - 1216/9*u + 298/9*u**2. 2*(u - 2)**2*(u + 153)/9 Suppose -4 - 25 = -r - 9*u, -7*u + 6*u = -3. Solve 27/5*c**r + 56/5*c - 1/5*c**4 - 2/5*c**3 - 16 = 0 for c. -4, 1, 5 Let n be 2/5 - (-936)/5460. Let f be -7 + (1 + 13)/2. Factor n*j**2 + f - 4/7*j**3 + 0*j. -4*j**2*(j - 1)/7 What is q in 16/3*q + 17*q**3 + 0 + 19/3*q**4 + 1/3*q**5 + 49/3*q**2 = 0? -16, -1, 0 Let c(i) be the first derivative of 2*i**3/21 - 6*i**2 + 874*i/7 - 2203. What is n in c(n) = 0? 19, 23 Let r(t) = -234*t + 1408. Let k be r(6). Factor -2/7*h**2 + k*h - 14. -2*(h - 7)**2/7 Let y(l) be the second derivative of -9*l**5/25 - 61*l**4/5 + 259*l**3/6 - 55*l**2 + 941*l. Let y(w) = 0. What is w? -22, 5/6 Let l(u) be the first derivative of 2*u**5/35 + 3*u**4 + 320*u**3/7 + 2150*u**2/7 + 6750*u/7 + 958. Find o such that l(o) = 0. -27, -5 Factor 15/8*c**2 + 3/2 - 23/2*c. (c - 6)*(15*c - 2)/8 Suppose -12*c + 17 = -26 - 5. Let y(s) be the first derivative of -15/14*s**2 + 3/28*s**c + 9/7*s + 1/7*s**3 + 18. Factor y(o). 3*(o - 1)**2*(o + 3)/7 Let q = 11/4614 - 7834627/23070. Let r = 340 + q. Factor -r + 1/5*x + 1/5*x**2. (x - 1)*(x + 2)/5 Let k(x) = -29*x**3 + 1564*x**2 + 106*x + 111. Let a be k(54). Factor -1/2*y + 1/2*y**4 + 1 - 3/2*y**2 + 1/2*y**a. (y - 1)**2*(y + 1)*(y + 2)/2 Let m(g) be the first derivative of -g**5 - 320*g + 174 - 360*g**2 - 45/2*g**4 - 485/3*g**3. Factor m(t). -5*(t + 1)**2*(t + 8)**2 Suppose 3 - 457/2*l - 590*l**2 = 0. Calculate l. -2/5, 3/236 Let p(k) be the first derivative of -k**6/18 + 8*k**5/15 - k**4/2 - 40*k**3/9 - 25*k**2/6 - 1144. Factor p(b). -b*(b - 5)**2*(b + 1)**2/3 Let p(x) = 3*x**2 + 24*x - 25. Let m(v) = -v**3 + 3*v**2 + 2*v + 3. Let t be m(4). Let d(w) = 4*w**2 + 26*w - 26. Let y(q) = t*d(q) + 6*p(q). Factor y(f). -2*(f - 5)*(f - 2) Factor -2/3*w**4 + 0 - 130/3*w**3 + 0*w + 268/3*w**2. -2*w**2*(w - 2)*(w + 67)/3 Suppose -4*b + 9885 - 9865 = b. Let x(q) be the second derivative of 0*q**2 - q + 1/9*q**3 + 0 - 1/18*q**b. Solve x(a) = 0 for a. 0, 1 Let i(j) = 30*j**4 - 27*j**3 - j**2 + 2*j. Let a(n) = -61*n**4 + 53*n**3 + 2*n**2 - 4*n. Suppose 6*o + 128 = 158. Let c(y) = o*i(y) + 2*a(y). Factor c(f). f*(f - 1)*(4*f + 1)*(7*f - 2) Let v(m) be the third derivative of -m**7/1575 - m**6/100 - 7*m**5/150 - 19*m**4/180 - 2*m**3/15 + 2274*m**2. Factor v(s). -2*(s + 1)**3*(s + 6)/15 Suppose -6*c - 123 = -111. Let s be c/4 - 0 - (-99)/90. Factor 0 + s*r + 3/5*r**2. 3*r*(r + 1)/5 Solve -6*t**5 + 5167*t**3 + 1 - 5183*t**3 - 5*t**4 + 28*t**2 + 20*t**5 - 15*t**4 + 2*t - 9 = 0 for t. -1, -4/7, 1 Let k(v) = 3*v**4 - 86*v**3 + 223*v**2 + 2*v + 2. Let g(m) = m**4 - 2*m**3 + m**2 - m - 1. Let l(r) = 2*g(r) + k(r). Find a, given that l(a) = 0. 0, 3, 15 Let q(v) = -6*v**3 + 18*v**2 - 23*v + 6. Let a(g) be the first derivative of -8 - 17*g**2 + 9*g**3 + 9*g - 9/4*g**4. Let t(z) = 5*a(z) - 7*q(z). Factor t(n). -3*(n - 1)**3 Let y = 807 + -727. Suppose -93*a + 101*a = y. Factor -4*p + a + 2/5*p**2. 2*(p - 5)**2/5 Let q(w) be the second derivative of 0*w**2 - 16*w + 7/3*w**3 + 0 + 1/270*w**6 - 1/90*w**5 + 0*w**4. Let s(y) be the second derivative of q(y). Factor s(z). 4*z*(z - 1)/3 Factor g**2 - 2633/2*g + 658. (g - 1316)*(2*g - 1)/2 Suppose 4831 = -4*q - 5*v, -2*q = -v + 1632 + 787. Let w be q/(-930) + (-1)/(-5). Determine s, given that 1/3 + 3/2*s**2 + w*s = 0. -2/3, -1/3 Find m, given that -293*m**4 - 8*m**5 + 13*m**2 + 3*m**2 - 124*m**3 - 286*m**4 + 647*m**4 - m + 49*m = 0. -1/2, 0, 1, 2, 6 Let u be -5 - -23 - (54 - 39). Let j(p) be the first derivative of u*p**5 - 25/4*p**4 + 0*p - 5 + 10*p**2 - 20/3*p**3. Determine r, given that j(r) = 0. -1, 0, 2/3, 2 Let a(o) = -13187*o + 131870. Let h be a(10). Factor 48/11*b + h + 34596/11*b**3 + 2232/11*b**2 + 178746/11*b**4. 6*b*(31*b + 2)**3/11 Let h = -4580 + 7621. Determine m so that h + 36*m**3 + 72*m - 8*m - 96*m**2 - 4*m**4 - 3041 = 0. 0, 1, 4 Let s(r) be the third derivative of 13/180*r**5 - 1/6*r**4 - 21*r**2 - 1/60*r**6 + 1/630*r**7 + 0*r + 2/9*r**3 + 0. Factor s(x). (x - 2)**2*(x - 1)**2/3 Let j(o) be the second derivative of -o**6/150 + 13*o**5/50 - 157*o**4/60 + 8*o**3 - 54*o**2/5 + 9*o + 142. Find z, given that j(z) = 0. 1, 6, 18 Solve -176/3 - 442/3*j - 1/3*j**4 - 119*j**2 - 92/3*j**3 = 0. -88, -2, -1 Let i(o) = o**2 - 3*o - 7. Let l be i(5). Suppose 2*x - 2*z + 6 = 0, -l*x + 2*x + 3*z = 13. Factor -3/2 + 5/2*n + n**x. (n + 3)*(2*n - 1)/2 Let d(x) be the second derivative of -x**4/4 - 7*x**3/2 + 21*x**2 - 5*x. Let l(j) = 2*j**2 + 11*j - 22. Let y(s) = -3*d(s) - 5*l(s). Factor y(k). -(k - 4)**2 Let r(m) = -3*m**2 + 15*m - 9. Let v = 22 + -20. Let l(w) = 4*w - 2 + 5*w**2 + 6*w**2 + 2*w**v - 14*w**2. Let c(p) = -9*l(p) + 2*r(p). Factor c(b). 3*b*(b - 2) Let l(h) be the third derivative of -4*h**2 + 5 + 1/80*h**6 - 1/840*h**7 + 0*h + 0*h**3 - 1/12*h**4 + 1/60*h**5 - 1/1344*h**8. Determine k, given that l(k) = 0. -2, 0, 1, 2 Let -153/2*a + 345 + 3/2*a**2 = 0. Calculate a. 5, 46 Factor -3/7*m**3 - 162/7 - 117/7*m + 6*m**2. -3*(m - 9)*(m - 6)*(m + 1)/7 Let w(u) be the second derivative of -u**5/4 + 1295*u**4/12 - 2575*u**3/6 + 1285*u**2/2 - 153*u - 1. Factor w(q). -5*(q - 257)*(q - 1)**2 Let n = 69609/35 - 16782/7. Let l = n + 411. Factor l*o + 3/5*o**2 + 12/5. 3*(o + 2)**2/5 Find z, given that 4/7*z**2 + 0 + 0*z - 118/7*z**3 + 114/7*z**4 = 0. 0, 2/57, 1 Solve -87/4*n - 297/2 - 3/4*n**2 = 0 for n. -18, -11 Let -4/3*s**5 + 2248/3*s**2 - 1148*s + 28*s**4 - 216*s**3 + 588 = 0. Calculate s. 1, 3, 7 Let s(r) be the second derivative of r**5/4 - 185*r**4/12 - 5*r**3/6 + 185*r**2/2 - 3*r - 1557. Let s(u) = 0. What is u? -1, 1, 37 Let l(d) = d**2 + 40*d + 4. Let z be l(-40). Suppose 5*x = 3*x + z*x. Suppose -3/7*q**4 - 6/7*q + x*q**2 + 6/7*q**3 + 3/7 = 0. Calculate q. -1, 1 Let o(d) be the first derivative of d**6/50 + d**5/100 - 17*d**4/60 + 19*d**3/30 - 3*d**2/5 + 22*d - 54. Let i(b) be the first derivative of o(b). Factor i(u). (u - 1)**2*(u + 3)*(3*u - 2)/5 Let t = 41 - -15. Let b = t + -54. Determine u, given that -8 + 2*u**2 - 8 - 6*u**b - 18*u + 2*u**2 = 0. -8, -1 Let s be (-9)/2*(-7 - (-133)/21). Let b(u) = -u**3 -
{ "pile_set_name": "DM Mathematics" }
0 for s. 4 Solve 1 = v + 1 for v. 0 Solve 1 = 4*k + 5 for k. -1 Solve 0 = -13*t + 2*t for t. 0 Solve 37*z + 315 = -26*z for z. -5 Solve 2 = 9*f - 10*f for f. -2 Solve -2*c = 2*c - 12*c for c. 0 Solve -4*m + 16 = 8 for m. 2 Solve 200 = -525*a + 575*a for a. 4 Solve -31*j + 328 = 10*j for j. 8 Solve 8 = -7*n - 6 for n. -2 Solve -7*h = -4*h - 3 for h. 1 Solve -41 - 15 = 14*j for j. -4 Solve 2*w + 5 = 11 for w. 3 Solve -31*u + 15*u + 13*u = 0 for u. 0 Solve -89*q = -96*q + 56 for q. 8 Solve 2*s - 5 = -11 for s. -3 Solve -7*i = 3*i + 10 for i. -1 Solve -6*b + 39*b = 231 for b. 7 Solve 8*p - 4 + 28 = 0 for p. -3 Solve 215*s = 220*s + 15 for s. -3 Solve 13 + 2 = -3*g for g. -5 Solve 0 = -10*q - 85 + 115 for q. 3 Solve 12 = 30*b - 34*b for b. -3 Solve -2*x - 5 = -7 for x. 1 Solve 372 = 75*q + 297 for q. 1 Solve -31 = 5*q - 21 for q. -2 Solve -s = 4*s - 20 for s. 4 Solve 8 = 276*j - 280*j for j. -2 Solve -759*v = -754*v + 15 for v. -3 Solve 9*k + 9*k = 72 for k. 4 Solve 0 = 4*m - 9*m + 15 for m. 3 Solve 0 = -96*w + 61*w - 210 for w. -6 Solve 3*s + 1 + 11 = 0 for s. -4 Solve -8*v = -13*v - 10 for v. -2 Solve -8*d + 35 = -5 for d. 5 Solve -101*m = -103*m + 12 for m. 6 Solve -101 = 16*g + 43 for g. -9 Solve 5*p = 6*p + 1 for p. -1 Solve w = 6*w - 10 for w. 2 Solve 17*v + 28 = -6 for v. -2 Solve -w + 1 = 5 for w. -4 Solve -7*v + 29*v + 22 = 0 for v. -1 Solve 103 = -6*b + 115 for b. 2 Solve 284*r + 18 = 293*r for r. 2 Solve -169*f - 25 = -174*f for f. 5 Solve 0 = -12*p + 4*p + 16 for p. 2 Solve 0 = 22*v - 74 - 58 for v. 6 Solve 128*g - 123*g + 50 = 0 for g. -10 Solve 15 - 3 = 6*o for o. 2 Solve -64*t = -60*t for t. 0 Solve 0 = 3*n - 13*n + 50 for n. 5 Solve -124 = 39*t - 8*t for t. -4 Solve -6*g - 8 + 32 = 0 for g. 4 Solve 8*z - 5*z - 6 = 0 for z. 2 Solve 16*w - 21 = 23*w for w. -3 Solve 0 = 3*l - 3 for l. 1 Solve 0 = 46*c - 110 - 28 for c. 3 Solve -715*i + 48 = -707*i for i. 6 Solve -185 = 37*t - 0*t for t. -5 Solve -11*p = -10*p + 5 for p. -5 Solve 25*j = 10*j + 8*j for j. 0 Solve -41*w - 123 = -0 for w. -3 Solve 13*k + 53 - 1 = 0 for k. -4 Solve -4*v = -11 - 1 for v. 3 Solve 27*q + 8 = 25*q for q. -4 Solve -10*n + 14*n - 32 = 0 for n. 8 Solve -57*u = -21*u - 36 for u. 1 Solve -5 = -h + 6*h for h. -1 Solve -36 = 11*k + k for k. -3 Solve -1404*x + 1411*x = -21 for x. -3 Solve 243*i - 268*i + 100 = 0 for i. 4 Solve 9*j = 5*j + 12 for j. 3 Solve -551 + 615 = 16*k for k. 4 Solve -1181*v = -1176*v - 45 for v. 9 Solve -15 = -18*p + 21 for p. 2 Solve -31*j + 34*j = -9 for j. -3 Solve -567 = 7*d - 623 for d. 8 Solve 0 = -22*u - 50 + 116 for u. 3 Solve -6*m - 15 = 15 for m. -5 Solve -121 = 80*k + 279 for k. -5 Solve 3*l - 2*l + 3 = 0 for l. -3 Solve 13*t + 4 = 9*t for t. -1 Solve 27 = -4*a + 7 for a. -5 Solve 3*v + 7 = 7 for v. 0 Solve 15*p - 162 + 222 = 0 for p. -4 Solve 14*i = 65 - 9 for i. 4 Solve 19*k = 20*k for k. 0 Solve -615*k + 619*k = 12 for k. 3 Solve 103 - 55 = 12*h for h. 4 Solve 0 = -z - 2*z + 6 for z. 2 Solve -7*m - 15 = -50 for m. 5 Solve 11*p - 84 = 25*p for p. -6 Solve 60*w - 178 = -58 for w. 2 Solve 110*c = 94*c + 16 for c. 1 Solve 325*t - 343*t + 36 = 0 for t. 2 Solve -1532*v + 7 = -1525*v for v. 1 Solve 99*p - 6 = 97*p for p. 3 Solve 5*j + 5*j - 40 = 0 for j. 4 Solve 0 = 92*r - 94*r + 10 for r. 5 Solve 44*x = -131 - 45 for x. -4 Solve 4 = 4*a - 6*a for a. -2 Solve 0 = 2*a - 3*a - 2 for a. -2 Solve 15*j + 34 = 4 for j. -2 Solve -14*u + 24 = -8*u for u. 4 Solve -12*o = -14 - 34 for o. 4 Solve 3 - 3 = -45*m for m. 0 Solve 16 = -4*p + 28 for p. 3 Solve -4*c + 1 - 29 = 0 for c. -7 Solve -m = 2*m - 9 for m. 3 Solve -4*v = 4 - 12 for v. 2 Solve 0 = -19*r + 3 + 73 for r. 4 Solve 0 = -0*l + 5*l - 25 for l. 5 Solve 18 = -2*l + 20 for l. 1 Solve 20*t = 11*t for t. 0 Solve -383*f + 394*f + 11 = 0 for f. -1 Solve -6 = 8*i - 5*i for i. -2 Solve -9*u + 9 - 54 = 0 for u. -5 Solve 0 = 7*t - 20 + 27 for t. -1 Solve -35 = -17*z - 1 for z. 2 Solve 3 - 1 = -2*d for d. -1 Solve -106*y = -110*y + 12 for y. 3 Solve -14 = 19*q - 12*q for q. -2 Solve 6*o - 19 = -43 for o. -4 Solve 0 = 17*l - 14*l for l. 0 Solve -43*w + 10*w + 99 = 0 for w. 3 Solve -k + 13 = 12*k for k. 1 Solve -5*t + 74 = 89 for t. -3 Solve -24 = -179*n + 175*n for n. 6 Solve 0 = -6*u - 5 + 65 for u. 10 Solve 0 = -12*z + 9*z - 9 for z. -3 Solve 14 = -14*x - 0*x for x. -1 Solve 0 = -39*d + 314 + 37 for d. 9 Solve 24 = 4*m + 4*m for m. 3 Solve -2*k = -8*k + 6 for k. 1 Solve 0 = -37*d + 23 + 14 for d. 1 Solve 55 = 19*o - 59 for o. 6 Solve 0 = 65*a - 19*a + 138 for a. -3 Solve 23*r - 120 = 11*r for r. 10 Solve -16*d - 36 = -12*d for d. -9 Solve -2*f + 7*f = 25 for f. 5 Solve -157*v + 179*v - 22 = 0 for v. 1 Solve 18 + 102 = 24*a for a. 5 Solve j - 3 = -2*j for j. 1 Solve 3*d - 203 = -197 for d. 2 Solve -9 + 6 = -3*s for s. 1 Solve 0 = 7054*p - 7035*p - 57 for p. 3 Solve 0 = 106*v - 102*v + 4 for v. -1 Solve -11 + 65 = -9*l for l. -6 Solve -15 - 5 = 4*q for q. -5 Solve 15*m - 20 = -5*m for m. 1 Solve 3*o + 36 = 33 for o. -1 Solve 0*h + 8 = 8*h for h. 1 Solve 17 = 20*o - 63 for o. 4 Solve 0 = 2*h + 29 - 27 for h. -1 Solve -2*k = -4*k + 8 for k. 4 Solve -11 = -11*g - 0 for g. 1 Solve r + 16 = 17 for r. 1 Solve -381*t + 12 = -377*t for t. 3 Solve 0 = 28*v - 4*v + 24 for v. -1 Solve 29*q + 13*q = -126 for q. -3 Solve 0 = -141*l + 107 + 316 for l. 3 Solve -12*q + 25 = -11 for q. 3 Solve 0 = d - 2 - 2 for d. 4 Solve 0 = -k - 85 + 95 for k. 10 Solve -5*p + 667 - 647 = 0 for p. 4 Solve 22 = 30*n - 41*n for n. -2 Solve 6 + 7 = -13*x for x. -1 Solve -3*h - 16 + 31 = 0 for h. 5 Solve -7*f = -23 - 5 for f. 4 Solve 0 = q + 5 - 8 for q. 3 Solve 513 = -14*q + 555 for q. 3 Solve -8*t - 36 = -4 for t. -4 Solve 103*k + 111 = 66*k for k. -3 Solve 17*w + 15 - 15 = 0 for w. 0 Solve -96*o + 90*o = 0 for o. 0 Solve -10*b - 105 = -45*b for b. 3 Solve 11*n + 45 = 23 for n. -2 Solve 67*m - 330 - 206 = 0 for m. 8 Solve 21*h - 25 = 16*h for h. 5 Solve 0 = 355*k - 345*k - 70 for k. 7 Solve -53*o - 40*o = -651 for o. 7 Solve 32 = -10*d + 2*d for d. -4 Solve k + 596 - 594 = 0 for k. -2 Solve 14 = -0*c + 7*c for c. 2 Solve 3*q - 2 = 1 for q. 1 Solve -6*g - 18 - 18 = 0 for g. -6 Solve 0 = 12*w + 3*w + 45 for w. -3 Solve 0 = 7*m - 22*m - 30 for m. -2 Solve 36 = -36*r - 0 for r. -1 Solve -800 + 692 = -27*j for j. 4 Solve -21 = 34*r - 89 for r. 2 Solve -92*q = -3*q + 267 for q. -3 Solve -18*g + 110 = -34 for g. 8 Solve 231 = 56*s + 7 for s. 4 Solve -143*r - 145 = -1289 for r. 8 Solve 1578 = -v + 1580 for v. 2 Solve -2 = d - 0*d for d. -2 Solve 0 = 1054*u - 1053*u - 9 for u. 9 Solve -1625 = 17*b - 1591 for b. -2 Solve -35*r = -16*r - 57 for r. 3 Solve 1 = -7*c + 8 for c. 1 Solve 0 = -10*b + 11 + 29 for b. 4 Solve 0 = -10*b - 0*b + 10 for b. 1 Solve -30*q + 16 = -26*q for q. 4 Solve 199*i - 214*i = -90 for i. 6 Solve 20*y + 48*y = -340 for y. -5 Solve 13*i + 2 = 14*i for i. 2 Solve -5*p + 6*p = -2 for p. -2 Solve 23 = -t + 28 for t. 5 Solve 23*t - 90 = 48 for t. 6 Solve -7 = -5*g - 12 for g. -1 Solve 153*g + 98 = 167*g for g. 7 Solve 24*d - 2133 = -2133 for d. 0 Solve 132*h - 355 - 701 = 0 for h. 8 Solve 217*c + 136 = 234*c for c. 8 Solve 36*x - 215 = 79*x for x. -5 Solve -11*p + 8*p - 3 = 0 for p. -1 Solve -83 = 8*d - 67 for d. -2 Solve 0 = -78*x + 76*x + 6 for x. 3 Solve 71 + 29 = 20*q for q. 5 Solve 0 = -174*o + 179*o - 5 for o. 1 Solve -55*y + 120 + 155 = 0 for y. 5 Solve -1 + 25 = -4*r for r. -6 Solve -14*j = -8*j - 24 for j. 4 Solve 2*u = -3*u - 10 for u. -2 Solve 18 = 2*b + 24 for b. -3 Solve 35 - 32 = m for m. 3 Solve -7*n = 59 - 24 for n. -5 Solve -160 = 199*i - 179*i for i. -8 Solve 25 = 5*w + 50 for w. -5 Solve -40*g + 27 + 133 = 0 for g. 4 Solve 10 = -41*y + 43*y for y. 5 Solve 35*n = 40*n + 30 for n. -6 Solve -249*v - 12 = -255*v for v. 2 Solve 5*o = -33 + 53 for o. 4 Solve 0 = 20*d + 7*d - 54 for d. 2 Solve 20*g - 51 - 29 = 0 for g. 4 Solve -32*n = -39*n + 7 for n. 1 Solve 82*w + 32 = 90*w for w. 4 Solve 12 = 102*u - 98*u for u. 3 Solve 49*g = -7*g + 336 for g. 6 Solve 865*b = 859*b + 36 for b. 6 Solve -16*r = -17*r - 7 for r. -7 Solve -27*z = -685 + 712 for z. -1 Solve -5*k - 126 = -111 for k. -3 Solve -18*h - 887 = -869 for h. -1 Solve -172 = 33*u - 40 for u. -4 Solve 0*x + 42 = -6*x for x. -7 Solve 1374*l = 1363*l - 44 for
{ "pile_set_name": "DM Mathematics" }
s smaller: -422 or t? -422 Suppose -7*c = -22*c - 2*c + 68. Suppose 0 = -3*x - l + 55, x = -4*x - 2*l + 92. Is x at least as big as c? True Let q be (-1 - -8) + -1369 + 2 + -1. Which is smaller: q or -1359? q Suppose 46*l + 7 = 39*l. Let v be (9 - 8/6)/(l/3). Are v and -23 non-equal? False Let j = -1451 + 1450. Is j not equal to -1/1664? True Let l be ((-14)/231 + 1504/(-1320))*(-20)/3. Suppose 3*c = -0*c + 306. Suppose 0 = l*q + c + 210. Is q smaller than -39? False Let o = -130 - -118.6. Let w = -2.4 - o. Let m = -3.9 - -4. Which is bigger: m or w? w Let q = -10 + 24. Let j = q - 320/23. Let r = -6 + 5. Which is smaller: r or j? r Suppose 0 = -127*f + 126*f + 3462. Suppose -59*g + f + 963 = 0. Let a(c) = -2*c**3 - c**2 - c - 1. Let k be a(-1). Which is bigger: g or k? g Let h(a) = -8*a - 41. Suppose 36 + 42 = -13*t. Let j be h(t). Are 8 and j unequal? True Suppose -2192 = 6*y - 2180. Is y greater than 41? False Let z = 10324 + -11543. Is -1216 less than or equal to z? False Let h = -451 - -1803/4. Suppose p + 386 = -p. Is p less than h? True Let i = -245.6 + 73.4. Let y = i + 172. Does y = -44? False Let d = -4670 + 182074/39. Let p = -114/13 - d. Which is smaller: 2/9 or p? p Let r = -0.4 - 10.6. Let c = -1055 - -1031. Let m be 112/c + 5 - (-4)/6. Is r > m? False Let s(c) = c**2 - 167*c + 6929. Let w be s(90). Which is greater: 48/127 or w? 48/127 Suppose 3*z - 3 = -3*k + 6, -k + 3 = 2*z. Let m = 3798 - 3787. Suppose -f = -m*f - k*f. Which is smaller: f or 2/53? f Suppose 504 = 4*k + 144. Let w be (11 - 10)*k/(-2). Let c = 9 - 53. Which is greater: w or c? c Let v = -660805/32 - -20657. Which is smaller: v or 7? v Let f(d) = -d**3 + 15*d**2 + 14*d + 30. Let b(o) = o**3 + 5*o**2 + 6*o + 24. Let w be b(-4). Let c be f(w). Are c and 2/9 equal? False Let t = -1033 - -751. Let w be (-7)/35*5 - (t - -3). Which is smaller: 1 or w? 1 Let x(k) be the first derivative of -11*k**2 + 43*k - 2. Let l be x(2). Which is greater: 4/271 or l? 4/271 Let w be 2/7*(-266)/(-35625). Is w bigger than -1? True Let q(d) = 26*d + 58. Let m be q(-9). Let u = 151 + m. Are u and -25 equal? True Let l be (-689)/(-4)*384/(-72). Which is smaller: l or -918? l Let y = -19365/5852 + -35/418. Let m = 51/14 + y. Is 267 > m? True Let n(a) = -a**2 - 9*a - 7. Let u be n(-8). Let x = 9/1388 - 20287/131860. Which is smaller: u or x? x Let a be 50/15 + 3/9. Let m = 422 + -423. Which is greater: m or a? a Let z = -10/61 - -411/2135. Suppose -9*c + 17*c = 5*c. Suppose 11*b + 3*b = c. Which is greater: b or z? z Suppose 5*a = -4*s + 1559, -a - 187 = 2*s - 506. Which is smaller: a or 1/3? 1/3 Suppose 0 = -6*b - 97 + 133. Suppose 0 = -5*f + 3*m + 39, 2*f - b*f + 4*m = -28. Is 9 greater than or equal to f? True Suppose 34 = -5*a + t - 2*t, -3*a - 3*t - 18 = 0. Let q be (10944/(-5016))/((-9)/(-30)). Do a and q have the same value? False Let a be (-12)/(-10)*(34/3 - 8). Let n be 39/60 + 88/(-20) + a. Is -2/9 != n? True Let t be (4 - (-6)/(-48)*-2)*(77 + -5). Which is bigger: 307 or t? 307 Let r = 6130 + -6222. Is r equal to -94? False Let v = 3 + -1. Let w = -2.48 + 2.58. Let h = w + -0.4. Which is smaller: v or h? h Let k = -15297 - -15974. Which is smaller: 668 or k? 668 Suppose 21 = -5*u + 16. Suppose -46 = 2*y - 5*x, -6 = -y - 4*x - 55. Let i be (-6)/y - (1 - 1). Which is bigger: u or i? i Let v(c) = 3*c**2 + 165*c - 929. Let y be v(-51). Which is smaller: -1549 or y? -1549 Suppose -4*z = -0*z - 4*p + 176, 0 = -2*z + p - 93. Let s(r) = -r**2 + 70*r + 576. Let j be s(78). Is z >= j? False Let t(h) = 2*h**3 - 2*h + 2. Let f be t(2). Suppose 17*x - 12 = f*x. Suppose x*a = a + 297. Which is smaller: 98 or a? 98 Suppose 4*q - y - 3 = 3, 2*y = 2*q. Let m be (6*(-2)/(-24))/(q/16). Let c = 3.8 - 0.8. Are c and m equal? False Let u(y) = y**3 + 61*y**2 + 124*y + 314. Let f be u(-59). Which is greater: -39 or f? -39 Let k be (26/5)/((-3)/15*1). Let d = 24 + k. Let g be 4*d*(3 - (-5)/(-2)). Is g >= -4? True Let t = -1837 - -2779. Let q = 368 - t. Is -573 not equal to q? True Let f = 166 - 166.54. Let h = f - 0.26. Which is smaller: -17 or h? -17 Let g = 503 + 458. Let v = -1032.1 + g. Let a = v - -71. Is a <= -0.12? False Let h(o) = -3009*o**3 - 8*o**2 - 27*o - 19. Let a be h(-1). Which is smaller: a or 3011? a Suppose 13*g - 10515 = 25105. Are 2740 and g nonequal? False Let o be 0 + (-4)/(-2) - (-70)/(-24). Let v(a) = 6*a - 13. Let l be v(2). Is o < l? False Let f = 9 - -46. Let k be (336/(-44))/((-84)/616). Is k smaller than f? False Let y = -19393.9 - -19394. Are y and 7737 nonequal? True Let k = -5835 + 683. Let h = k - -87528/17. Let v = -1137/340 - h. Is v at least as big as 1? False Suppose 224 = 43*r + 13*r. Which is greater: 128/45 or r? r Suppose 0 = -2*y, 0*y + 21 = -3*x - 2*y. Let a(q) = -4*q**2 - 84*q - 3. Let r be a(0). Which is greater: x or r? r Let g(m) = m**2 - 8*m + 5. Let y be g(7). Let b be (-460)/(-138)*(-72)/340. Which is greater: y or b? b Suppose 3*x + 2*n = -198, -6*x + 3*x - 240 = -5*n. Which is smaller: x or -50? x Let s(d) = -17*d**2 - 60*d + 1946. Let j be s(31). Is -16250 < j? False Let z = -39/190 - 18/95. Are z and 0 non-equal? True Let p be 4*2/(-3)*(-285)/20. Let v be (p/3648)/(-1 + (-5)/(-3)). Suppose -j - f = 3, -4*f - 2 - 11 = 3*j. Is v greater than or equal to j? False Suppose -240 = -3*v - v. Suppose 0 = -4*i - g - 64, -4*i - 5*g = -3*g + v. Let b = 52 - 72. Is i greater than or equal to b? True Let p = -2.222 + -1050.778. Do p and -1 have different values? True Let g = 304 - 258. Let p = 74 - 30. Let q = g - p. Is q at least 30/11? False Let i be -4*(-7)/(-112) - 1/(-4). Suppose a - 6 = -i*a. Which is smaller: a or -2? -2 Let s = 2257/4 + -564. Which is smaller: 1.57 or s? s Let p = 31 + -64. Let q = 41 - p. Let y = -35 + q. Do 38 and y have different values? True Let u(b) be the first derivative of b**4/4 + 11*b**3/3 - 7*b**2 + 4*b - 110. Let t be u(-10). Which is bigger: t or 245? 245 Let n be 4/16 - (-4 - 522/24). Suppose -21*i + 47*i - n = 0. Is 2/329 less than i? True Let b = 290 - 1963/7. Let o = -4791 + 4801. Which is smaller: b or o? b Let f(u) be the second derivative of u**5/10 - u**4/4 + u**3/6 + 3*u**2/2 + 150*u. Let x be f(1). Let b = -499/3 + 170. Is x smaller than b? True Let o be ((-14)/(-4) + -3)/(1 + 791/(-784)). Do o and -46 have the same value? False Suppose 53 - 51 = 2*m. Which is smaller: m or -2/18649? -2/18649 Let s(t) = -t**2 + 30*t + 21. Let x be s(30). Suppose -69 = -x*k + 57. Which is smaller: 68/11 or k? k Let j = 2746 - 2744. Is 26/51 < j? True Let t = -44847 - -1210717/27. Let h = t - -23882/4239. Which is bigger: -1 or h? h Let w be (5/(-2) - 6/(-2))*0. Suppose w = -15*x + 32*x - 323. Is x smaller than 19? False Suppose g + 70 = 5*l - 2*g, -3*g + 18 = 3*l. Let m be 2*(-2 + (-5)/(-10)). Let x be 11 + -1 - 0*m/6. Which is smaller: l or x? x Suppose -r - 10 = -14. Suppose r*m + 2*f = -6, 5*f + 14 = -1. Is m > -3/173? True Let p(k) = -k**3 - 2*k**2 + 12*k + 3. Let a be p(3). Let z = -72 - -61. Which is smaller: z or a? z Suppose 0 = 33*y - 31*y - 8. Let g(z) = -y*z**2 + 2*z**2 + 2*z + 3*z**2 - 5*z. Let h be g(1). Do h and -7/8 have the same value? False Let f = -1302375/509014 + -3/14971. Which is bigger: -3 or f? f Let y = -20.5 + 185.4. Let z = -176 + y. Let b = -11.5 - z. Is b smaller than 3/11? True Let q(r) = -3 + 4 + 6586*r**3 - 21*r**2 + 4*r - 6582*r**3. Let j be q(5). Are j and -2 unequal? True Suppose -k - 4*w = -4, 634*w + 70 = 4*k + 632*w. Is 22 less than k? False Let n = -0.067 - 0.133. Let y = 5874/85 - -1824/17. Let q = 177 - y. Is n greater than q? False Let n = 11.082 - 0.082. Let x = n + -55. Let b = 30 + x. Is 2 greater than b? True Let h be ((-6)/63 - 120/210)/(-70). Which is bigger: h or 1? 1 Suppose -122 - 148 = 5*q. Let m be q/(-170) + (-2)/10. Let u be 4/20 + ((-144)/(-30) - 1) - 4. Are u and m non-equal? True Suppose 0 = -3*k + 15, 15 = r + 2*k - 0. Suppose -5*c + 4*i = -19 - 15, 25 = 5*c + r*i. Let n be (c/8)/((-35)/20). Which is greater: n or 2/3? 2/3 Let a = 77798.2 + -77798. Let i = 44.7178 + -0.4878. Let g = -44 + i. Which is greater: g or a? g Let k be ((-8)/(-2))/(-2) - (-330 + -34). Let x be ((-6)/(-2) - 2)*(9 + k). Do x and 370 have the same value? False Let y be (6/(-12))/((-1)/528). Let x =
{ "pile_set_name": "DM Mathematics" }
r? 7 Let f(n) be the third derivative of -n**4/24 + 7*n**3/6 - 3*n**2. What is the units digit of f(5)? 2 Let v = 9 - 7. Suppose x - 2 = -v*x + 2*o, 2*o = 2*x. Suppose 3*m = x + 10. What is the units digit of m? 4 Let o = 4 + -1. Suppose 0 = -o*u + 37 - 10. What is the units digit of u? 9 Let k = 3 - 4. Let j(u) = u**2 - u - 1. What is the units digit of j(k)? 1 Let o be (-1)/(1/(1 + -17)). Suppose -4*h = 2*s - 60, 2*h = s - 54 + o. Suppose -2*q + i = q - 27, -s = -4*q + 2*i. What is the units digit of q? 0 Let j(b) = b**2 + b + 5. Let u(t) = 3*t**2 + 2*t + 16. Let p(n) = 7*j(n) - 2*u(n). What is the units digit of p(-5)? 3 Let s be (2 - -2)/8 + (-33)/(-6). Let i = 8 - 5. Suppose -s = -i*m - 0*m. What is the units digit of m? 2 Let r be ((-120)/(-32))/((-3)/(-8)). Let d = -7 + r. What is the units digit of d? 3 Suppose j - 2*k + 2 = -3, -5*j - 2*k + 23 = 0. Let f(d) = -d**3 - 4*d**2 - 2*d - 6. Let w be f(-4). What is the units digit of j*w*(-11)/(-6)? 1 Let n = 11 - 7. Suppose v - 22 = n*f - 134, -3*f = 4*v - 84. What is the tens digit of f? 2 Let q(g) = -2*g - 4. Suppose 12 = -3*j - 0*j. Let s be q(j). Let b = s + 1. What is the units digit of b? 5 Suppose 0 = -k + 3*k + 6. Let u = k - -4. What is the units digit of u? 1 Let h(c) = c - 11. Let n be h(9). Let p be (n/5)/((-2)/30). What is the units digit of 3/(-3) + p + 2? 7 Let t be -2*(-1 - 1)/2. Let x be -17 + 0*t/6. Let n = -10 - x. What is the units digit of n? 7 Suppose -4*x - 27 = -5*x. Let k = -19 + x. What is the units digit of k? 8 What is the tens digit of (-62)/(-2) - (-5 + 4)? 3 Suppose 4*v - 2 = 5*p + 3, p = 4*v + 15. Let j be (-84)/(-15) + (-2)/v. What is the units digit of (30/(-9))/((-4)/j)? 5 Let v = 5 - 5. Suppose v*k + 4 = k. Suppose k = c - 0*c. What is the units digit of c? 4 Let b be 21/(-3 + (-27)/(-6)). Suppose 3*y - 2*l + b = -2, -8 = 3*y + 2*l. What is the tens digit of y/(-10) + (-372)/(-20)? 1 Let x(k) = -k**2 + 2*k + 2. Let b be x(3). What is the units digit of ((-1)/b)/(2/6)? 3 Let f = 7 + -7. Suppose f = 4*x - 4*a - 88, 2*a - 3 = -x + 22. What is the units digit of x? 3 Let r = 11 - 9. Suppose 32 = -r*x + 5*x - 5*y, 0 = -5*x - 3*y + 42. What is the units digit of x? 9 Suppose -5*d = -2*r - 717, -246 = -5*d + 5*r + 474. What is the tens digit of d? 4 Let w be (-4)/(-2) + 14/(-7). Suppose h + w = 25. What is the units digit of h? 5 Suppose 2*u - 4 = -2*a - 0, 3*u - 6 = -4*a. Let g be 1/2*(-2 + u). Suppose j - 8 + g = 0. What is the units digit of j? 8 Let x(u) = -u**3 - 4*u**2 + 4. Let b be x(-4). Suppose -3*m = 4*o - 34, b*m + 3*o - 8 = 7*o. What is the units digit of m? 6 Let g be ((-15)/6)/(1/(-2)). Suppose -4*s + 3*d = -289 + 62, 3*s = g*d + 173. Suppose 2*y - s = -5*i, 2*i + 1 = 3*i - 3*y. What is the units digit of i? 0 Suppose 390 = 4*h + 42. Let g = h - 61. What is the tens digit of g? 2 Let f = 45 - 35. What is the tens digit of f? 1 Let m(z) = -z + 0*z + 0*z + 7*z**2. Let v be m(1). Suppose -v = -5*n + 29. What is the units digit of n? 7 Suppose r + 115 = -4*r. Let f = 32 + r. What is the units digit of f? 9 Let v = 89 - 25. What is the units digit of v? 4 Let k = 4 - 6. Let x = k + 0. Let d = x + 6. What is the units digit of d? 4 Let h(i) = -i**2 - i + 5. Let y be h(0). Suppose 4*x - c - 13 = 17, 4*x + y*c = 42. What is the units digit of x? 8 Let i = -7 - -12. What is the units digit of i? 5 Let b(n) = -n + 17. Let c be b(12). Suppose c*o + 5*f - 5 = 0, -2*o = -7*f + 3*f - 8. Suppose -2*q - o*i = -16, -4 - 8 = 3*i. What is the units digit of q? 2 Let x be ((-2)/4)/(1/(-4)). Suppose 0 = -5*i - 25, 0 = -4*r + x*i + 7 + 15. What is the units digit of r? 3 Let l(i) = -1 + 4*i - 3*i + 0*i. Let x be l(-3). What is the units digit of -2*1/x*16? 8 Let y be (-12 + 6)*8/(-6). Suppose -j + y = 35. Let v = -7 - j. What is the tens digit of v? 2 Let u = 7 - 2. Suppose 3*d + 2 = u*x, -4*x + 17 = d - 5. What is the units digit of d? 6 Suppose -4*d - 68 = -4*w, -3*d - 28 = -w - 7. What is the units digit of w? 5 Let a = 30 - 10. What is the tens digit of a? 2 Let s(o) = o**3 + 5*o**2 - 8*o - 7. Let n be ((-1)/2)/(4/16). Let j be 1/(n*(-1)/(-12)). What is the units digit of s(j)? 5 Suppose -w = -5*i - 24, 3*w - 1 - 1 = i. What is the tens digit of i/(-10) - (-63)/2? 3 Let g(n) = -n**3 + 7*n**2 + 5*n + 4. Let v(w) = -3*w**3 + 20*w**2 + 14*w + 11. Let h(p) = -11*g(p) + 4*v(p). What is the units digit of h(2)? 6 Let r = -17 + 32. Suppose -3*c - 4*j - 14 = 6, -2*c - 3*j - r = 0. Let a(h) = -h + 2. What is the units digit of a(c)? 2 Let n = -4 - -7. Let g be 1*(-4)/(-2) + -1. Suppose 2*w = -5*k + 7, k + w = n*k - g. What is the units digit of k? 1 What is the tens digit of (-3)/(-6)*0 - -10? 1 Suppose -12*l + 9*l = 3. Let h(v) = -v**2 + v**2 + v**2. What is the units digit of h(l)? 1 Let m = 220 - 117. Suppose -m = -5*c + 97. Suppose 4*j + j - c = 0. What is the units digit of j? 8 Suppose -z = -0 - 3. Suppose 2*m - 3*n = 6*m - 66, -69 = -5*m + z*n. What is the tens digit of m? 1 Let a(w) = -w - 5. Let z be a(-3). Let x(r) = -2 + 1 + 3 - 6*r - 3. What is the units digit of x(z)? 1 Let q(d) = 0*d**3 + 4 + 2*d**2 + 3*d**2 + 6*d + d**3. Let l be q(-4). Let m(t) = t**2 + 5*t + 6. What is the units digit of m(l)? 2 Let o(a) = a**2 + 5*a - 1. Suppose -2*r - 6 = 3*k, -2*k - 24 = 5*r + 2. Let l be o(r). Let s(m) = 2*m + 1. What is the units digit of s(l)? 1 What is the tens digit of (1/2)/(6/948)? 7 Let t(s) = -s**2 + 7*s + 3. What is the units digit of t(4)? 5 Let v(t) = t**2 + 9*t - 10. Let o be v(-10). What is the units digit of (o - 0) + 3 + 5? 8 Let t(c) = -c**2 + 8*c - 6. Let n be t(5). Let q(a) = a**2 - 2*a - 1. Let w be q(-2). Suppose -g + n = -w. What is the tens digit of g? 1 Let f(i) = 9*i + 13. What is the units digit of f(3)? 0 What is the tens digit of ((-4)/3)/(9/(-270))? 4 Suppose z - 1 = -2*z - 4*n, -3*z + 17 = -4*n. Suppose -3*u = m - 4, 0 = -5*u - z*m + 8*m. What is the units digit of u? 1 Suppose -3*c - 147 = -0*c. Let y = 104 + c. What is the units digit of y? 5 Let q(h) = 3*h - 3. Let j be q(2). Suppose 5*g - 15 = 0, -3*z = -8*z + j*g - 4. Let o = 2 + z. What is the units digit of o? 3 Suppose -l - s = -1, -4*s = 9 + 7. What is the units digit of (l/(-2))/(2/(-4))? 5 Let o = -1 - 5. Let q = o + 17. What is the units digit of q? 1 Let y = -53 + 25. Let o = -19 - y. What is the units digit of o? 9 Suppose -h + 3*g = -8, -6*h + 2*h + 5*g = -11. Let a = h + 2. What is the units digit of a? 1 Let q(b) be the second derivative of b**3/6 + 5*b**2/2 - b. What is the units digit of q(10)? 5 Let h(r) = 3*r - 2. Let m be h(5). Suppose -2*z + m = -15. What is the units digit of z? 4 Let k(i) = i**3 - 7*i**2 - 7*i - 6. Let h be k(8). Let u = 2 - h. Suppose -3*m - 3 - 3 = u, m + 8 = 2*g. What is the units digit of g? 3 Let f = -7 - -9. Suppose -9 = -f*j - 3. What is the units digit of 4*(3 + -2) - j? 1 Let h = 6 - 10. Let l(a) = a**3 + 4*a**2 - 4*a + 2. What is the tens digit of l(h)? 1 Let l(x) be the first derivative of x**2/2 + 8*x + 2. Let o be l(-8). Suppose 4*n - 4*t = 44, 29 = 3*n + t - o*t. What is the tens digit of n? 1 Let n(j) = j. Let g be n(-1). Let i = g + 4. Let v(w) = w**2 - 2*w + 2. What is the units digit of v(i)? 5 What is the hundreds digit of (-8)/2 - -4 - -192? 1 Suppose 0 = -2*b + 6*b - 192. Let g = b + -26. Suppose 9*o = 7*o + g. What is the tens digit of o? 1 Let k(m) = -m**2 - 7*m - 5. Let r(a) = a**2 + 9*a + 9. Let v be r(-7). What is the units digit of k(v)? 5 Let s(g) = 2*g**3 - g**3 + 11 + 9*g**2 - 8*g - 3*g**3 + g**3. What is the tens digit of s(8)? 1 What is the units digit of (-718)/3*12/(-16)*2? 9 Let p(f) = f + 5. Let g(c) = -c**3 + 4*c**2 - 2*c + 5. Let v be g(4). Let d be p(v). Suppose a - 18 = -d*a. What is the units digit of a? 6 Let q(c) = 10*c**2 - 2*c - 11. What is the units digit of q(-5)? 9 Let u(n) = -4*n + 4. Let k be u(4). Let q = 25 + k. What is the tens digit of q? 1 Let y = 39 - 6. What is the tens digit of y? 3 Suppose -4*m - 30 = 2*c, -5*c = -0*c + m + 75. Let i = 22 + c. What is the units digit of i? 7 Let l(s) = 10*s - 5. What is the tens digit of l(4)? 3 What is the tens digit of 8*(90/4)/5? 3 Suppose -3 = -4*z + 65. What is the units digit of z? 7 Let t(o) = -5*o - 5. What is the units digit of t(-5)? 0 What is t
{ "pile_set_name": "DM Mathematics" }
2. Let g = x + 4. Sort 3, g, -4 in decreasing order. 3, g, -4 Let k(v) = v**3 - 5*v**2 - 5*v + 1. Let y be k(6). Let t = -11 + y. Sort t, 5, -1 in descending order. 5, -1, t Let j be 3/1 + (0 - 0). Let u(g) = 2 - 3 - 2*g**3 - g**j. Let d be u(1). Sort -5, 4, d in decreasing order. 4, d, -5 Let f be (8/6 - 0)*(-6 + 9). Put -1, -3, f, -30 in descending order. f, -1, -3, -30 Suppose s + 9 = 2*b - 8, -5*s - 3*b = 33. Put s, -2, -3 in decreasing order. -2, -3, s Let d = 97/2 - 49. Sort -3, d, -0.4, -4. -4, -3, d, -0.4 Let o = 87 - 92. Let v = 6 + -3. Suppose -4*l - v = 9. Sort 5, l, o in decreasing order. 5, l, o Suppose -6*f + 9 = -3*f. Let k = 1 - 1. Let o = -5.09 - -0.09. Sort k, o, f in ascending order. o, k, f Let x be ((-30)/(-4))/5 + -2. Let q = 0 + x. Let i = -0.3 - 0. Sort -0.1, q, i in ascending order. q, i, -0.1 Let q = 40.4 - 48. Let p = q - -0.6. Let h = 6.7 + p. Sort 0.1, 0.4, h. h, 0.1, 0.4 Let x = -0.4 + 0.3. Suppose -2*h = 10 + 2. Sort x, -0.3, h. h, -0.3, x Let o(d) = d**2 - 8*d + 9. Let w be o(6). Suppose 0 = -2*a + 2, 2*k + 3 = 3*k + 2*a. Let f be k + 3/(-1) - -5. Sort w, -2, f in ascending order. w, -2, f Let a be 3 + 21/(-15) + -2. Put a, 4, -3 in decreasing order. 4, a, -3 Let s = 9.1 - 9. Sort s, 2, 3 in decreasing order. 3, 2, s Let y be 3 - (3 + 4 + -6). Let o be 3 - 1 - (3 - 2). Sort -5, y, o. -5, o, y Let o be (3/20)/((-2)/(-8)). Suppose d + 2 = 2*c, -4*d - 1 = 4*c + 19. Sort o, 7/5, d in descending order. 7/5, o, d Let o be -3*4/(12/(-7)). Let b = o - 3. Sort 2, -2, b in increasing order. -2, 2, b Let u = 29 - 33. Put u, -2/9, -1/7 in ascending order. u, -2/9, -1/7 Let n(l) = l**2 - l - 1. Let o(s) = -s**2 + 5*s - 2. Let j(m) = 2*n(m) + o(m). Let p be j(-4). Put 1, p, -5 in decreasing order. 1, p, -5 Suppose -16 - 20 = 9*j. Put 33, 5, j, 2 in decreasing order. 33, 5, 2, j Let f = 1/568 + 507/34648. Let y = f - 68/427. Sort -1, 5, y in ascending order. -1, y, 5 Let s(o) = -o - 3. Let v be s(-1). Let t be (-7)/(-28) - v/24. Let j = 0.98 + -1. Sort -2/7, j, t in ascending order. -2/7, j, t Let a be (-6)/(-7)*(-105 + 1). Let w = -89 - a. Suppose 47 = 5*u - 5*o + 17, -2*u - 5*o - 2 = 0. Sort w, u, -1/5 in ascending order. -1/5, w, u Let v = -56 - -56. Put v, -4, 3 in decreasing order. 3, v, -4 Suppose -2*s + 1 = -5. Put 6, s, 0 in descending order. 6, s, 0 Let c = 34 + -32.6. Put 2, c, 0.1 in ascending order. 0.1, c, 2 Let g(b) = b**2 + 2*b - 3. Let l be g(-4). Let r be 2/9 + (-87)/27. Sort r, 1, l in ascending order. r, 1, l Let z = -927/5 - -186. Put 4, -2/17, z in increasing order. -2/17, z, 4 Suppose 0 = -2*v - a - 0 - 1, 3 = -a. Put 5, -4, v in increasing order. -4, v, 5 Suppose -2*l - 5*m - 2 = 0, 5 = -3*l + m + 19. Put l, -4, 1 in ascending order. -4, 1, l Let j = -2 + 0. Suppose 12 = -4*a, w - 6 = 3*w + 4*a. Suppose w*v + 6 = 5*d + 29, 2*v + 4*d = -14. Put v, -4, j in decreasing order. v, j, -4 Suppose 0 = -4*j - 3*v - 24, -4 = 2*j - v - 2. Put 0, 3, j in decreasing order. 3, 0, j Let k = -286 - -2006/7. Suppose 8*x = 3*x + j - 8, 4 = -2*j. Put 1/3, x, k in increasing order. x, 1/3, k Let u = 19.4 - 19. Put -0.4, -14, u in decreasing order. u, -0.4, -14 Let s be -3 + 2 + 2*1. Suppose 2*f = -39 + 35. Sort s, f, -3 in descending order. s, f, -3 Let f be (8/3 + -3)*15. Sort f, -2, 4 in ascending order. f, -2, 4 Let s be (-2)/(-13) - 123/546. Sort -3, -0.5, s, 3 in ascending order. -3, -0.5, s, 3 Let u = 18 - 14. Let t = 1 - 0. Sort u, -2/11, t in descending order. u, t, -2/11 Let x = 0.46 - 0.4. Let r = -0.24 - x. Sort 2/11, r, 0.2 in descending order. 0.2, 2/11, r Let r = 47.3 - 47. Put r, 0.5, 2/3 in increasing order. r, 0.5, 2/3 Suppose -4*y + 20 - 8 = 0. Let o = 7 - y. Let k(d) = -d**2 + 5*d - 2. Let c be k(o). Put -2, c, 5 in descending order. 5, c, -2 Let h be 1 + -4 - (-6)/3. Let q = -5 + 14/3. Let p = q + 5/6. Sort 5, h, p in decreasing order. 5, p, h Suppose 0 = 3*f - 4*f + 2. Suppose 0 = 4*r + 4*p + 4, -f*r - 2*p = 3*r + 14. Put r, 5, 1 in ascending order. r, 1, 5 Let h = 1 + -1. Let r = 32 + -31. Put r, -2, h in ascending order. -2, h, r Let f be 3513/(-28) + (-12)/42. Let x = 125 + f. Put -0.1, x, -0.3 in increasing order. x, -0.3, -0.1 Let o(i) = -i**2 + 5*i + 16. Let w be o(7). Suppose x = -w*x - 3. Sort -2, x, -5 in decreasing order. x, -2, -5 Suppose 3*h - 2*b - 16 = 0, -4*b = 5*h - 7 - 5. Let o = 35/12 + 307/12. Let v = o + -27. Sort -0.2, h, v in increasing order. -0.2, v, h Let h be (1 + 0)/((-2)/(-2)). Suppose 5*f + 25 = -0*f. Sort f, h, 5. f, h, 5 Let a(y) = -y**2 - 3*y + 2. Let d be a(3). Let n be ((-4)/d)/((-1)/6). Suppose -f - 8 = f. Put n, f, -0.1 in increasing order. f, n, -0.1 Let l be -2*-6*3/(-9). Let t be 33/63 - l/(-6). Put 2, -2/7, t in increasing order. -2/7, t, 2 Suppose -5*o + 3*w + 5 = -7*o, w = -3. Let c = -0.4 + 0.5. Let s = c - 0.6. Sort s, -3, o. -3, s, o Let p(o) = -2*o + 4. Let y be p(4). Let w be (y/14 + 0)/1. Let i = -111 - -1109/10. Put i, 5, w in increasing order. w, i, 5 Let a be 5*(-3)/((-45)/3). Sort -4, a, 4 in ascending order. -4, a, 4 Let w = -41 + 59. Suppose 4*d + 6 = w. Let k = -5 + 1. Put 2, d, k in descending order. d, 2, k Let y(o) = -o**3 + 2*o**2 + 15*o - 2. Let g be y(5). Let f = -5 + 2. Suppose -4 = w + 3*q, -4*w - 2*q + 14 = -0*q. Put f, g, w in increasing order. f, g, w Suppose -6 = -3*m - 0*m. Suppose -m*b + 0*b - 6 = 0. Let j(q) = -q**2 - 7*q - 3. Let v be j(-6). Sort b, v, 2 in ascending order. b, 2, v Let b = 4.23 + -0.23. Put -5, 0.1, b in ascending order. -5, 0.1, b Let m be 18/63 - (-52)/14. Let p(c) = c - 8. Let n be p(9). Suppose -2*s - 2*s - o = -19, 24 = 4*s - 4*o. Sort m, s, n. n, m, s Suppose 4*m - 1 = -5*r + 6, 0 = -r + 5*m + 13. Suppose 0 = 5*c, c = -4*v + 2*c + 12. Suppose -4*o + 1 = v*u, 18 + 2 = -4*u. Sort r, o, -5 in descending order. o, r, -5 Let d = -4 - -4.6. Let i = -0.2 + d. Let b = -10 - -39/4. Put i, -5, b in descending order. i, b, -5 Let z be ((-6)/8)/((-3)/(-12)). Let f be (8/10)/((-3)/(-15)). Sort z, f, -7 in ascending order. -7, z, f Let d = -3.1 + 3.1. Let i = -0.7 + -0.3. Let s = 10 + -14. Sort d, i, s in increasing order. s, i, d Let g = 2405/264 - -5/88. Let c = g + -19/2. Put 1/6, 2, c in ascending order. c, 1/6, 2 Let l = -7 - -5.7. Sort l, -3, 3/7 in increasing order. -3, l, 3/7 Let l be 2 - (-1)/((-2)/14). Let j = 97 + -99. Put -3, l, j in descending order. j, -3, l Let l be (1/1)/(2*35/42). Sort 2/15, l, -4 in ascending order. -4, 2/15, l Suppose -7 = 4*p + 9. Sort 2, p, 4, -5 in ascending order. -5, p, 2, 4 Suppose 4*a = -k - 3, a + 7 = 4*k + 19. Suppose 4*h = 0, a*n + 2*h - 25 = -5*n. Suppose -3*p + 6*p = 2*o, 3*o = -2*p. Sort 3, p, n in increasing order. p, 3, n Let a be 1 - 1/(-1)*6. Sort a, 1, -1 in ascending order. -1, 1, a Let v be (-4)/(-14) + (-10)/(-14). Let x = 1.3 - 1. Let d = -53/4 - -14. Sort v, d, x in descending order. v, d, x Let v(r) = -r**2 + 11*r - 10. Let t be v(9). Suppose t*k - 5*k = -12. Sort -2, -3, k. k, -3, -2 Suppose 2 = -v - 2, -r - 9 = 5*v. Let z = r - 8. Let l be ((-4)/(-3))/((-1)/3). Put l, z, 5 in increasing order. l, z, 5 Let g = -15.8 - -5.3. Let d = 11 + g. Let v be 0 - (15/(-21) - -1). Put v, d, -5 in increasing order. -5, v, d Let n = -100 + 107. Sort -5, n, 4 in ascending order. -5, 4, n Let i = 2 + -2. Suppose i = -2*c - 4*a - 8, 32 = 4*c + 3*a - 7*a. Sort c, -2, 0 in decreasing order. c, 0, -2 Let w = 0.14 - 0.04. Let i = 3 - 3.5. Sort 0.2, i, w in descending order. 0.2, w, i Let p be ((-15)/(-10))/((-1)/(-2)). Suppose -n = p*n. Let z be 2/5 + 22/(-5). Put n, 1, z in descending order. 1, n, z Suppose -4*v = -4 + 32. Let m be (-78)/(-21) - 2/v. Let h be (4/m)/((-11)/(-2)). Put h, -4, -0.4 in descending order. h, -0.4, -4 Let s be 21/15 + (-2)/5. Suppose -3 = 2*a + 1. Let m = s - a. Sort -1, m, 4. -1, m, 4 Let a be ((-63)/(-28))/(1/(-4)). Let p be (-13)/(-3) + 3/a. Let c be (-3)/(-6) - (-5)/2. Put p, 1, c in ascending order. 1, c, p Let m be 0 + (-8)/(2 - 4). Sort -4, m, -2 in descending order. m, -2, -4 Suppose 0*x = 2*x - 22. Let m be 2 - -3*x/(-15). Sort -1, -0.06, m in ascending order. -1, m, -0.06 Let n = -0.17 + -0.53. Let m = 2.3 - n. Put -2, -0.3, m in decreasing order. m, -0.3, -2 Let a(s) = -s - 2. Let u be a(-8). Let k = u + -3. Sort 1, k, -1 in descending order.
{ "pile_set_name": "DM Mathematics" }
he greatest common divisor of 15 and t. 15 Suppose 13 = -2*i - r + 51, 5*i + 2*r = 94. Let o = i - 6. What is the greatest common factor of o and 4? 4 Let y(n) = -n**3 - n**2 + n + 2. Let z be y(-2). Suppose 7 + 5 = -z*f, 0 = 4*a - 4*f - 228. Calculate the highest common factor of 36 and a. 18 Suppose -3*x + 133 = -0*p - p, 3*p - 231 = -5*x. What is the greatest common factor of x and 15? 15 Let g(u) = -14*u - 66. Let s be g(-5). Calculate the greatest common divisor of 8 and s. 4 Let q = -4 - -1. Let m be -2 - (-4)/(q/(-3)). What is the highest common factor of m and 10? 2 Let q(m) = 3*m**2 - 3*m - 3. Let v be q(3). Suppose -2*o = -6, 3*g + 0*g = -o + 18. What is the greatest common divisor of v and g? 5 Let x be ((-3)/9)/(2/1002). Let i = 293 + x. Calculate the highest common factor of 18 and i. 18 Suppose 0 = 2*h + 10, -4*q + 284 = -4*h + 96. What is the highest common factor of q and 3? 3 Let u be (-55)/(-15) - 2/3. Suppose -4*m + 0*m + 71 = -u*g, -3*m + 22 = 4*g. Calculate the greatest common factor of 7 and m. 7 Let l(d) = -2*d**2 - 3*d - 1. Let w be l(-2). Let q(b) = 3*b**2 + 4*b + 3. Let j be q(w). What is the greatest common factor of j and 6? 6 Let b(i) = 8*i + 204. Let d be b(-25). Let v(h) = h**3 + 6*h**2 + 3*h + 6. Let c be v(-5). What is the highest common divisor of d and c? 4 Suppose -5*t + 53 = -67. Calculate the greatest common factor of 6 and t. 6 Suppose 30*o - 250 = 25*o. What is the highest common divisor of 20 and o? 10 Let z = 51 - 15. What is the greatest common factor of z and 12? 12 Let o(s) = 2*s + 1. Let u be o(4). Let x = u + -7. Let n(q) = 3*q + 1. Let y be n(3). What is the greatest common factor of x and y? 2 Suppose -585 = -5*r - 0*r. Let w = r + -27. What is the highest common divisor of w and 10? 10 Let q = 1339 + -859. Suppose -2*c - c = -q. What is the greatest common factor of 16 and c? 16 Let m = 21 + -11. Suppose -4*b + 258 = 3*t + 52, 4 = -4*b. What is the greatest common factor of t and m? 10 Let k = -3 - -6. Suppose 287 = k*j - 28. Calculate the highest common divisor of 15 and j. 15 Suppose 4*j + 5*t - 6*t - 173 = 0, 0 = -j - 4*t + 39. Suppose -j = -2*l + 1. Calculate the greatest common divisor of l and 2. 2 Let j(u) = 3*u**2 - 2*u - 1. Suppose -t + 9 = 2*t. Let c be j(t). Let v = 17 - 9. What is the highest common factor of c and v? 4 Suppose 5*n = u - 15, u - 4*n = -0*u + 16. What is the highest common factor of u and 5? 5 Let q(o) = -o**3 + 6*o**2 + 10*o - 2. Let y = 19 + -12. Let n be q(y). Calculate the highest common divisor of n and 19. 19 Suppose -2*k + 46 = -434. Suppose -o + 3*o = k. Suppose 4*l = -0*x - x + 15, 5*x + 5*l = o. Calculate the greatest common divisor of 3 and x. 3 Let x = 3 - 1. Suppose -x*b - 10 = -7*b. Suppose -b*z + 3 = -19. What is the greatest common factor of 44 and z? 11 Let a be (-3)/(-4 + 308/80). Calculate the highest common factor of 30 and a. 10 Let i(l) = -25*l**3 - l + 1. Let m be i(1). Let q = m + 37. Calculate the highest common factor of q and 36. 12 Let i = -30 + 2. Let x = 50 + i. Calculate the greatest common divisor of x and 11. 11 Suppose 4*b - 21 = 3*b. Let t(f) = -2*f - 2. Let i be t(-6). Let j = 31 - i. What is the greatest common factor of b and j? 21 Suppose 2*n - 1 - 1 = 0. Let v = n + 11. Calculate the highest common factor of v and 12. 12 Suppose 0*c = -4*c - 4. Let o be 2/((-18)/14 - c). Let r = o + 16. Calculate the highest common factor of r and 6. 3 Let m = 39 - 35. Calculate the greatest common divisor of 4 and m. 4 Suppose -p - 5*d + 13 = 0, 2*p - 4 = -5*d + 17. Suppose -4*n + 134 = -90. What is the highest common factor of n and p? 8 Suppose -120 = -4*x + 60. Let s be 837/x - 4/(-10). What is the greatest common factor of 19 and s? 19 Suppose 3*u - 5*o + 10 = u, -5*u + 17 = -2*o. Let q be (-2 + 2)/(-1) + 25. Calculate the highest common factor of u and q. 5 Let f(t) = t**3 - t**2 - 2*t + 30. Let c be f(0). Let j(o) = -o. Let m be j(0). Let h be 1 + (m - -19) - 0. Calculate the greatest common divisor of c and h. 10 Let c(y) = -y**3 + y**2 - 3*y + 18. Let l be c(0). What is the highest common divisor of l and 45? 9 Let t be 3/(-1 + -2) + 24. Let u = -11 + t. Calculate the highest common divisor of u and 96. 12 Let a be 3/(-18) - 8452/(-24). Calculate the highest common divisor of 32 and a. 32 Let y be 2/6*(9 - 3). Suppose 5*w + 2 + 8 = 2*n, -y*n - 3*w + 10 = 0. Calculate the highest common divisor of 35 and n. 5 Let a(v) = -v + 2. Let r be a(6). Let i be r/(-18) + (-2696)/(-18). Calculate the highest common factor of 25 and i. 25 Let o = 11 - 6. Suppose o*h = -85 + 1170. Let d = h - -14. What is the greatest common divisor of 21 and d? 21 Let j(r) = 6*r - 9. Let k be j(7). Suppose 2*l - 56 + 6 = 0. Let f = 36 - l. What is the greatest common divisor of f and k? 11 Let h be 3/(-9) + 52/(-6). Let q = -6 - h. Suppose -5*p - 2*t + 3*t + 162 = 0, 4*t = -q*p + 111. What is the greatest common factor of p and 22? 11 Let h(t) = -15*t**3 - 2*t**2 + 2*t + 3. Let w be h(-1). What is the greatest common factor of 112 and w? 14 Let x(n) = 2*n**2 - 11*n - 2. Let c be x(7). Calculate the greatest common divisor of c and 57. 19 Let p(r) = -r + 30. Let y be p(8). Calculate the highest common divisor of y and 2. 2 Suppose 0 = 3*q + 5 - 38. Let u = 2 + 5. Let p(b) = b**3 - 8*b**2 + 9*b + 8. Let o be p(u). What is the highest common factor of q and o? 11 Let d(a) = a + 187. Let u be d(0). Suppose p = -5*j + 20, 2 + 18 = 2*j - 2*p. Let k = 22 - j. Calculate the highest common factor of u and k. 17 Suppose 5*u + 248 = 388. What is the greatest common factor of 14 and u? 14 Let g = 26 - -7. Let c = g - -3. Suppose 46 = 4*s + 2*r, 3*r + 27 = 4*s + 6. Calculate the greatest common factor of s and c. 9 Let g = 404 + -134. Suppose 4*c - g = c. What is the greatest common factor of c and 10? 10 Let r(z) = -48*z. Let f be r(-3). Calculate the greatest common factor of f and 36. 36 Let j(b) = -21*b + 6. Let l be j(-4). Let o = -16 + 26. What is the highest common factor of o and l? 10 Let z(h) = -h**2 + 9*h - 3. Let c(o) = o + 2. Let y be c(6). Let u be z(y). What is the greatest common factor of 45 and u? 5 Suppose -t = -0*n + 2*n - 15, n - 15 = -2*t. Suppose -4*u = -5*l - t, -u - 4*u + 2*l = -19. Let g = u - -15. What is the greatest common divisor of g and 4? 4 Suppose -5*i - 31 = -1. Let c = i + 17. Let t(y) = 12*y - 11. Let h be t(11). Calculate the highest common factor of h and c. 11 Suppose 3*g - 3 = -0. Suppose -3*a - 18 = -3*z, -5 = -2*a + 7*a. Suppose 5*j + z = 25. What is the highest common divisor of j and g? 1 Suppose -39 = -f - 9. Let v be ((-8)/(-16))/(2/20). Suppose v*y - 53 = 47. Calculate the greatest common divisor of y and f. 10 Let k = 78 - 72. What is the greatest common divisor of 4 and k? 2 Let h(f) = f - 5. Let j be h(-6). Let l be 6/33 - 603/j. Let o = -24 + 46. What is the greatest common factor of l and o? 11 Let h = 28 - 16. Calculate the highest common divisor of h and 8. 4 Let j(u) = 4*u**2 + 2*u. Let y(o) = 3*o**3 - o. Let x be y(-1). Let h be j(x). What is the highest common divisor of h and 30? 6 Let q(c) = c + 1. Let z(k) = -18*k**2 - 2*k - 3. Let p(j) = 3*q(j) + z(j). Let i be p(3). Let h = i - -222. What is the greatest common divisor of h and 21? 21 Suppose 16 + 54 = 5*l. Let t = 2 + 0. Suppose t*u - 126 = u. Calculate the greatest common divisor of u and l. 14 Let d be 242/15 - (-12)/(-90). Suppose d = v - 5*y, v - y + 6*y - 16 = 0. Calculate the highest common factor of 128 and v. 16 Suppose -4*d + 97 = -47. Let x(t) = t**2 + 18*t + 9. Let j be x(-18). What is the greatest common divisor of d and j? 9 Suppose g - 59 = 39. What is the greatest common factor of g and 28? 14 Suppose 15 = k + 4. Suppose 198 = -6*s + 12*s. What is the greatest common factor of k and s? 11 Suppose 2*j + j = -9. Let b(n) = -13*n + 6. Let s(w) = -6*w + 3. Let h(u) = -4*b(u) + 9*s(u). Let f be h(j). Calculate the greatest common factor of f and 36. 9 Suppose 22*c = 13*c + 1080. What is the highest common divisor of 15 and c? 15 Suppose -4*j + 124 = 2*l, -2*j = 2*l - j - 121. Calculate the greatest common divisor of l and 24. 12 Let b = -5 + 4. Let z = 2 - b. Suppose -2*x + 24 = 4*n, 4*x - 2*n = -n + 3. What is the greatest common divisor of x and z?
{ "pile_set_name": "DM Mathematics" }
) + x(m). 3*m + 2 Let h(w) = 2*w + 1. Let u = -875 + 868. Let m(o) = 3*o + 2. Determine u*h(c) + 5*m(c). c + 3 Let l(t) = t**3 + 5*t**2 - 2*t - 4. Let g(n) be the third derivative of n**6/60 + 11*n**5/60 - n**4/6 - 4*n**3/3 - 2*n**2 - 1604. What is 4*g(z) - 9*l(z)? -z**3 - z**2 + 2*z + 4 Let c(o) = 4767*o**2 - 78*o. Let j(k) = 2383*k**2 - 36*k. Determine 6*c(r) - 13*j(r). -2377*r**2 Let a(s) = 30*s**3 - 5*s**2 - 5*s. Let j(g) = 12*g + 12*g**2 + 8091*g**3 - 2720*g**3 - 2698*g**3 - 2748*g**3. Determine 12*a(w) + 5*j(w). -15*w**3 Let a(s) = 10*s + 8. Suppose 2*t - 428 = -13*g + 10*g, -4*t + 840 = 2*g. Suppose -11*i + 56 = -t. Let q(f) = -f - 1. Determine i*q(l) + 3*a(l). 6*l Let o(p) = 13*p + 40 - 11*p - 48. Let r(i) = -2 + 4 - 1. Let n be 22/(-6) - 1224/(-459). Calculate n*o(b) - 6*r(b). -2*b + 2 Let t(a) = -a + 1. Suppose -5*r + 61 + 4 = 0. Suppose -n - 30 = -2*l, 3*n + 18 = 3*l - 27. Let d(m) = 33 - 3*m - r - l. Calculate 3*d(q) - 15*t(q). 6*q Let o(f) = f**3 + 2*f + 12. Suppose 0 = 306*k + 149 - 1985. Let s(t) = -1. What is k*s(v) + o(v)? v**3 + 2*v + 6 Let l(g) = 13*g**2 - 175*g - 32. Let s(d) = 2*d**2 + 2*d - 3. Determine l(c) - 6*s(c). c**2 - 187*c - 14 Let d(w) = -9286*w**2 - 1 - w - 9277*w**2 + 18562*w**2. Let n(y) = 2*y**2 + 5*y + 7. Calculate -5*d(o) - n(o). 3*o**2 - 2 Let o(y) = -1056*y**2 + 4 - 1055*y**2 + 2111*y**2 + 23*y**3. Let x(d) = -d**3 - 1. Calculate -o(p) - 4*x(p). -19*p**3 Let r(i) = -i**2 + 2*i - 1. Let w(s) = -559*s**2 + 4*s - 3. What is 2*r(a) - w(a)? 557*a**2 + 1 Let o(z) = z. Let i(w) = 6*w - 1. Let u = 18333 + -18334. Determine u*i(n) - o(n). -7*n + 1 Let r(u) = -5*u**2 - 7*u + 35. Let m(n) = n**2 + 2*n. Calculate -6*m(g) - r(g). -g**2 - 5*g - 35 Let d(v) = 3*v**3 + 2*v**2 + 2*v. Let h(j) = -21998*j**3 - 15528*j**2 - 15528*j. Give -7764*d(i) - h(i). -1294*i**3 Let z(i) = 4*i**3 - 3. Let g(x) = -4*x**3 + 2. Suppose -290*k + 284*k + 36 = 0. Determine k*g(u) + 4*z(u). -8*u**3 Let a(k) = -4 - 1 - 9*k + 0. Suppose -5*j + 0*j - 72 = w, -4*j = 2*w + 54. Let q be ((j/4)/(-5))/((-1)/4). Let p(h) = -4*h - 2. Calculate q*a(o) + 7*p(o). -o + 1 Let v = 1567 - 1570. Let z(d) = -d**2 + 4. Let t(n) = n**2 - 5. Let x = 24 + -28. Calculate v*t(q) + x*z(q). q**2 - 1 Let s(b) = 5*b + 1086. Let c(v) = -7*v - 1079. Calculate -2*c(i) - 3*s(i). -i - 1100 Let b(r) = -34*r - 24. Let l(u) = -33*u**2 - 7*u**3 + 20*u**2 - 27 + 20*u**2 + 11*u + 6*u**3. Let q be l(8). Let h(w) = 7*w + 5. Give q*b(z) - 14*h(z). 4*z + 2 Let g be (0 + -18*1)*8/8. Let j be (-3 + 4)/(g/(-108)). Let p(n) = 10*n + 2. Let b(z) = 9*z + 2. What is j*b(x) - 5*p(x)? 4*x + 2 Let m(l) = -94*l**2 - 1788*l - 41. Let v be m(-19). Let x(b) = 22*b**2 + 7*b. Let c(u) = 11*u**2 + 3*u. Give v*x(q) + 7*c(q). 11*q**2 Let m(z) = -3*z**3 - 65*z**2 - 8*z - 8. Let b(f) = -5*f**3 + 3*f + 4518*f**2 - 4496*f**2 + 4 - 1 + 6*f**3. Determine 8*b(u) + 3*m(u). -u**3 - 19*u**2 Let o(h) = 17*h**2 + h + 4. Let n = 332 + -323. Let z(q) = -4*q**2 - 1. Determine n*z(f) + 2*o(f). -2*f**2 + 2*f - 1 Let h(y) = 116*y**2 + 23*y + 79. Let m(a) = -20*a**2 - 4*a - 13. What is -6*h(r) - 34*m(r)? -16*r**2 - 2*r - 32 Let a(j) = -274*j + 1642. Let g be a(6). Let p(v) = -v**2 - 2*v + 4. Let t(n) = -n**2 - 3*n + 3. Give g*t(c) + 3*p(c). -c**2 + 6 Let z(t) = 16*t**2 - 6*t - 76. Let u(l) = 5*l**2 - 2*l - 24. Determine 19*u(d) - 6*z(d). -d**2 - 2*d Let s(n) = -114*n - 210. Let i(w) = 56*w + 99. Determine -21*i(z) - 10*s(z). -36*z + 21 Let f(t) = -966*t + 42. Let m(u) = 97*u - 4. Calculate 2*f(a) + 21*m(a). 105*a Let b(w) = -3*w**3 - 53*w**2 - 11*w + 4. Let x(d) = -2*d**3 - 53*d**2 - 15*d + 6. Calculate -4*b(n) + 3*x(n). 6*n**3 + 53*n**2 - n + 2 Let p(k) = 31*k - 177. Let w(b) = -11*b + 58. Give -6*p(h) - 17*w(h). h + 76 Let k(h) = 865*h**2 - 8*h - 12. Let n(i) = -863*i**2 + 7*i + 10. Give 5*k(r) + 6*n(r). -853*r**2 + 2*r Let n be 8 + -1 + -3 + -3. Let s(w) = -6*w + 2. Let r(v) = -1. Let y be ((1 - -4) + 1292/(-266))/((-8)/(-56)). What is n*s(z) + y*r(z)? -6*z + 1 Let u(j) = -36*j - 6. Let r(n) = 35*n + 5. Suppose 85 = -2*t - 12*t + 1. Determine t*r(i) - 5*u(i). -30*i Let p(g) be the first derivative of 2*g**2 - 4*g + 9. Suppose 4*v = -k - 13, 2*k + 2*v - 49 = -45. Let s(r) = 2*r - 4*r + 0*r + 2. Give k*s(x) + 4*p(x). 2*x - 2 Let l(x) = -16*x**2 + 6*x - 348. Let k(f) = -71*f**2 + 26*f - 1392. Calculate -2*k(g) + 9*l(g). -2*g**2 + 2*g - 348 Let u(a) = a**3 + 4*a**2 + 6*a. Let b(s) be the second derivative of -s**4/12 - s**3/3 - 827*s. Give 8*b(c) + 3*u(c). 3*c**3 + 4*c**2 + 2*c Let u(n) = n**3 + 4*n**2 - 32*n - 11. Let y be u(-8). Let k(m) = -6*m**2 + 4*m - 15. Let w(p) = 17*p**2 - 11*p + 45. Give y*k(o) - 4*w(o). -2*o**2 - 15 Suppose -7*i = -2*i + 4*o - 28, o = 2. Let s(q) be the third derivative of -q**6/120 + q**4/12 - 2*q**2. Let z(b) = -b**3 + b. Determine i*z(f) - s(f). -3*f**3 + 2*f Let s(h) = -12*h**2 + h + 2. Let u(z) = -z - 1. Let k = -37345 - -37344. What is k*s(t) - 2*u(t)? 12*t**2 + t Let u(y) = y - 15. Let t(i) = 1. Suppose -11*m = -1400 + 651 + 683. Determine m*t(o) - u(o). -o + 21 Let w(p) = 5*p**2 - 14*p + 5. Let c be w(3). Let v(i) = 5*i**2 + 111. Let z(f) = 2*f**2 + 37. Calculate c*z(q) - 3*v(q). q**2 - 37 Let y(i) = i - 1. Let x(n) = -6*n + 11. Suppose -z - 12 + 20 = 3*l, 4*l = 4*z - 16. Let r be -3 + l*(11 - 7). Determine r*x(m) + 4*y(m). -2*m + 7 Let w(n) = -6*n. Let c = -1 + -4. Let z be -11 + c/25*0. Let f(y) be the third derivative of y**4/24 + 5*y**2. What is z*f(m) - 2*w(m)? m Let i(l) = -2*l**3 + 4*l**2 - 2*l - 5. Let m(k) = -70993 - k**2 - 3*k + 4*k + 70994. Determine i(o) + 5*m(o). -2*o**3 - o**2 + 3*o Let r(i) = -5804*i**3 - 14*i**2 - 21*i. Let l(m) = -2902*m**3 - 8*m**2 - 12*m. Calculate 7*l(u) - 4*r(u). 2902*u**3 Let u(k) = -1177*k + 15. Let j(y) = -292*y + 3. Calculate -18*j(f) + 4*u(f). 548*f + 6 Let n(u) = 7*u**3 + 13*u - 14. Suppose 113*f = 941 - 263. Let s(h) = 4*h**3 + 7*h - 7. Calculate f*n(z) - 11*s(z). -2*z**3 + z - 7 Let n(w) = 34*w**2 - 4*w. Let u(r) = r. Suppose -6*x = -i - 11, 5*x + 0 = 10. Calculate i*n(s) + 4*u(s). 34*s**2 Let v(g) = 16*g**3 - 3*g**2 + 23*g + 253. Let u(i) = 6*i**3 - i**2 + 9*i + 84. Give -11*u(n) + 4*v(n). -2*n**3 - n**2 - 7*n + 88 Let s(b) = b**2 - 1865*b + 8. Let u(n) = -n**2 + 1864*n - 6. Calculate -3*s(y) - 4*u(y). y**2 - 1861*y Let z(u) = u**2 + 6. Suppose 2*y - 71 = 5*k, -17 - 61 = -3*y - 2*k. Let p = -831 + 833. Let h(i) = y + 41 + 10 + 10*i**p - 24. Determine -6*h(l) + 55*z(l). -5*l**2 Let n = 88 - 115. Let l = 32 + n. Let y(d) = -9 + 0*d + 13 + 2*d - l*d**2 + 1. Let k(m) = 6*m**2 - 2*m - 6. Determine -4*k(w) - 5*y(w). w**2 - 2*w - 1 Suppose 21*z = 31*z + 23*z + 99. Let a(q) = q**2 + 1. Let w(g) = 3*g**2 - g + 3. Calculate z*w(m) + 8*a(m). -m**2 + 3*m - 1 Let g(t) = 143*t**2 + 12. Let s(d) = -142*d**2 - 13. What is -6*g(p) - 5*s(p)? -148*p**2 - 7 Let k(p) = -p - 1. Let z(q) = 4*q + 1. Suppose 0 = -3*b + 6, -25*t + 21*t = 2*b + 4. Calculate t*k(m) - z(m). -2*m + 1 Let w = -53 - -57. Let b be (-5 + -1 + w)/((-2)/5). Let z(t) = 7*t**2 - 5*t. Let d(x) = 7*x**2 - 4*x. Give b*d(a) - 4*z(a). 7*a**2 Let k(y) = -2*y - 3. Let i(j) = 2626*j**2 - 18382*j - 27573. What is -4*i(x) + 36764*k(x)? -10504*x**2 Let m(r) = -211*r - 1050. Let h be m(-5). Let u(k) = 3*k**3 - 5*k**2 - 5*k - 1. Let v(d) = -2*d**3 + 3*d**2 + 3*d. Calculate h*v(j) + 3*u(j). -j**3 - 3 Let u be ((-12)/(-3))/(-2 - -1). Let d(b) = -3*b**3 - 5*b**2 + 4. Let o(k) = -6*k**2 + 46 - 89 + 2*k**3 + 3*k**2 + 6*k**3 + 32 + 17*k**2. Give u*o(y) - 11*d(y). y**3 - y**2 Let a(r) = -31*r**3 - 5*r**2 + 30*r + 27. Let m(i) = -7*i**3 - i**2 + 6*i + 5. Calculate 2*a(f) - 11*m(f). 15*f**3 + f**2 - 6*f - 1 Let f(z) = 6*z**2 - 8*z + 7. Let p(l) = 8*l + 4*l + 108 + 104 - 9*l**2 - 222. What is -7*f(d) - 5*p(d)? 3*d**2 - 4*d + 1 Let j(l) = 4*l - 4*l + l + 2. Let n(p) be the third derivative of 1/24*p**4 + 2*p + 1/6*p**3 + 0 + 52*p**2. Give -3*j(a) + 6*n(a). 3*a Let w(a) = 4*a**2 + 5*a - 1. Let g(b) = -b - 1. Give -2*g(q) + w(q). 4*q**2 + 7*q + 1 Let r(z) = -2*z**2 + z. Let w = 115 - 168. Let d = w + 55. Let o(i) = -552*i - i**2 - 4*i**d + 555*i. What is 3*o(n) - 8*r(n)? n**2 + n Let b(z) = -36*z - 6. Let c(x) = 7*x + 1. Let k = -5386 + 5397. Give k*c(o) + 2*b(o). 5*o - 1 Let m(v) be the first derivative of 3*v**3 + v
{ "pile_set_name": "DM Mathematics" }
2/31, 0.3, -0.03? 0.3 Which is the smallest value? (a) 2/19 (b) 588 (c) 0 c What is the smallest value in -1.4, 0, -18? -18 What is the third smallest value in 2/1543, -0.07, -1/7? 2/1543 What is the third biggest value in -1/3, 3, 2/7, -2/7? -2/7 Which is the smallest value? (a) 0.3 (b) -1/7 (c) 2040 b What is the second biggest value in -0.1, -0.38, -11? -0.38 What is the third biggest value in 1, -2/3, 3, -60, -0.3? -0.3 What is the biggest value in -5, -110, -0.2, -20? -0.2 Which is the second smallest value? (a) -2/5 (b) 2 (c) 6/17 (d) 1 (e) 0.4 c What is the second biggest value in 0.91, -1/5, 2/3, 4? 0.91 Which is the second smallest value? (a) 4 (b) 26/17 (c) -1/4 b What is the second biggest value in -119, 0.05, 0.1, 3? 0.1 Which is the smallest value? (a) -1/5 (b) 0.52 (c) 5 (d) -2/3 d What is the third smallest value in 4, 144, 4/3? 144 What is the smallest value in 3, 2/15, 5, 4, 110? 2/15 What is the second smallest value in 1, 9, -2, -3/8? -3/8 Which is the third biggest value? (a) -2/3 (b) -2.8 (c) -1/2 b What is the second biggest value in 0.5, 5, 609/26? 5 Which is the fourth smallest value? (a) -3 (b) -1/31 (c) -19 (d) -0.1 (e) -1/2 d Which is the biggest value? (a) -6 (b) 0.4 (c) -3/2 (d) 0.04 b Which is the second smallest value? (a) -3 (b) 2 (c) 247 b What is the third smallest value in -0.5, -0.027, 1? 1 Which is the second smallest value? (a) 0.08 (b) 5 (c) -5 (d) -24 c Which is the second biggest value? (a) -3.6 (b) -1/3 (c) 0.13 b What is the second smallest value in -93, -1, -10? -10 Which is the biggest value? (a) 4 (b) -34 (c) -2/7 (d) -1 a Which is the third smallest value? (a) -1 (b) 5 (c) 0.04 (d) -31 c Which is the second biggest value? (a) -0.05 (b) -1/7 (c) 0 (d) -0.1 a Which is the second biggest value? (a) -2/3 (b) 1/6 (c) 3/10 (d) -0.3 b Which is the fourth biggest value? (a) -0.46 (b) 2/15 (c) 5 (d) -0.1 a What is the smallest value in -0.4, 6/7, -4, -0.9? -4 What is the smallest value in -2, -0.2, -3, 2, -11? -11 Which is the third biggest value? (a) 3/5 (b) 0.126 (c) 1/7 b What is the second biggest value in 1, -3, 2, 107? 2 Which is the fifth biggest value? (a) -0.3 (b) -0.4 (c) 2/7 (d) 2/21 (e) 0.9 b Which is the second biggest value? (a) -4 (b) -27 (c) 9 a What is the third biggest value in -0.02, -3, 2/3? -3 Which is the second biggest value? (a) 0.036 (b) -1/2 (c) -2 (d) 3 a What is the second smallest value in -1, -82, 0.1? -1 Which is the fourth smallest value? (a) 1/5 (b) -0.09 (c) -2/5 (d) 1/2 d Which is the smallest value? (a) -5 (b) 165 (c) 0.4 a What is the smallest value in -2/13, -1, -95? -95 What is the fourth smallest value in -4/7, 4/7, 3, 2/5, 27? 3 Which is the smallest value? (a) -70 (b) -0.4 (c) 5 (d) -2 (e) -4 a What is the biggest value in -4, 0.5, -3, 8? 8 What is the second biggest value in 2, -1, 5, 2/15? 2 What is the third biggest value in 2/13, 4, -0.18? -0.18 Which is the second biggest value? (a) 3 (b) -1/18 (c) 0.3 (d) -0.4 (e) 5 a Which is the second biggest value? (a) 0.013 (b) 1 (c) 3 b Which is the biggest value? (a) -0.4 (b) 37 (c) -0.34 b Which is the smallest value? (a) 6 (b) 1/15 (c) 2/5 (d) 0.2 (e) 5 b Which is the smallest value? (a) 2/5 (b) 2/11 (c) 1/2 (d) 1 b Which is the smallest value? (a) -8 (b) -3 (c) -0.4 (d) 0.27 a Which is the smallest value? (a) -4 (b) 3820 (c) 3 a Which is the smallest value? (a) 2 (b) -5/6 (c) -0.3 (d) -167/5 (e) -5 d What is the fourth biggest value in 3, -1.9, -10, 2? -10 What is the biggest value in 2/3, 1/10, -5, -6/5, -0.3? 2/3 What is the biggest value in 5, 1.8, -0.05? 5 Which is the fourth smallest value? (a) -0.4 (b) -0.151 (c) 2 (d) 3 d What is the third smallest value in 1.2, 0.1, -0.274? 1.2 Which is the biggest value? (a) -5 (b) -316 (c) 3/8 (d) 0 c What is the second biggest value in -2054, -0.1, -0.3? -0.3 What is the second biggest value in 5, 2/7, -0.2, 26? 5 Which is the third smallest value? (a) -0.5 (b) -0.6 (c) 0.1 (d) 1.6 c Which is the smallest value? (a) -11 (b) 0 (c) 0.08 (d) -5 (e) -0.1 a Which is the fourth biggest value? (a) 22 (b) 4/5 (c) 0.4 (d) 1 c What is the third smallest value in -2/3, 2/9, -0.8, 0.1? 0.1 What is the fourth smallest value in 0.2, 3/5, 3, 10? 10 Which is the third smallest value? (a) 176 (b) -4 (c) 0 a Which is the fourth smallest value? (a) 1/3 (b) 0 (c) -2/15 (d) 9 d Which is the smallest value? (a) -3 (b) 2 (c) -0.1 (d) -8 (e) 0.24 d Which is the fourth smallest value? (a) -0.09 (b) 2 (c) 52 (d) -1 c Which is the third smallest value? (a) 2 (b) -2.8 (c) -1.08 a What is the fourth smallest value in 2, 4, 8, 10, 0? 8 What is the second biggest value in 4, -557, 3? 3 Which is the third smallest value? (a) -1.7 (b) -0.6 (c) -1/40 c Which is the fifth smallest value? (a) 0 (b) 1/11 (c) -3 (d) -0.101 (e) 0.1 e Which is the second smallest value? (a) -0.11 (b) -0.5 (c) 0.01 (d) 5 a Which is the fourth biggest value? (a) 0.05 (b) 4 (c) 2/7 (d) -3 (e) -24/7 d Which is the third smallest value? (a) -21 (b) -2 (c) 3/7 (d) 0.5 c Which is the second smallest value? (a) -65/9 (b) 4 (c) -3 c What is the smallest value in -2/9, 0.04, 4/7? -2/9 What is the smallest value in 0.3, -2/5, 0.2, -0.1, 7? -2/5 What is the third biggest value in -18/13, 0.36, 0.3? -18/13 What is the fourth biggest value in 46, 0, 0.06, 5, -0.1? 0 Which is the smallest value? (a) -0.4 (b) -0.027 (c) -0.3 a What is the third smallest value in 2/69, 2, 7, 0.4? 2 Which is the second smallest value? (a) -16 (b) 1/2 (c) -10 c What is the biggest value in -43, -2/9, -1/4, 2/61? 2/61 What is the third biggest value in -5, -3/2, 2/7, 0? -3/2 Which is the second biggest value? (a) -42 (b) -183 (c) 3 a What is the third smallest value in 4, -0.2, -2/17, 283/2? 4 What is the smallest value in 0.6, 0.4, -9? -9 What is the third biggest value in 1, -2/7, -33, -1, -5? -1 Which is the biggest value? (a) 2/13 (b) 0.1 (c) -1/2 (d) -2/17 (e) -0.2 a Which is the second smallest value? (a) -29 (b) 4 (c) 0.3 c What is the third biggest value in -444, -4, -2/11? -444 Which is the third biggest value? (a) -0.2 (b) -0.8 (c) 5 b What is the second smallest value in -0.6, 3, -42/13, -0.5? -0.6 What is the third biggest value in 435, -0.1, -2/7? -2/7 What is the fourth biggest value in 1, 2, 18539, -2/3? -2/3 What is the biggest value in -1, 4/5, -2/13, 4, -2? 4 Which is the second smallest value? (a) -4 (b) 0 (c) -81 a Which is the biggest value? (a) 4/9 (b) -4 (c) -18 (d) 31 (e) 0.1 d Which is the third biggest value? (a) 0.2 (b) -2/9 (c) 0.4 (d) 0.153 d What is the fourth biggest value in 10, -0.5, -5, -1/53? -5 What is the fourth biggest value in 6/5, -4, -0.09, -2? -4 What is the second biggest value in -0.5, 1/38, 3? 1/38 What is the fifth biggest value in 2/9, 4, -6.08, 3/5, -2? -6.08 What is the third biggest value in -2, -0.6, 0.5, 3? -0.6 What is the biggest value in -18, -3, 0? 0 Which is the third smallest value? (a) 2 (b) -7 (c) -151 a What is the smallest value in -6, 2.2, 0.1, -0.3? -6 Which is the smallest value? (a) 2/33 (b) 1/6 (c) -1/4 c What is the second biggest value in -0.4, -0.02, 1, 0.05? 0.05 What is the smallest value in -14, -0.09, -0.2? -14 What is the biggest value in -2, -6, -3/5, -0.03? -0.03 What is the third smallest value in 1/6, -3, -4, -5? -3 Which is the third biggest value? (a) -24/41 (b) 4 (c) 0.5 a What is the third biggest value in 1/3, 67, 4/7, 4/5, 2? 4/5 Which is the biggest value? (a) 1 (b) 4 (c) -10 b Which is the second biggest value? (a) 31 (b) -1 (c) 0.9 c What is the fourth smallest value in 0.2, 6, -0.1, -7? 6 Which is the smallest value? (a) -1/7 (b) -9 (c) -2/5 b Which is the third smallest value? (a) 7/11 (b) -0.5 (c) 5 c What is the smallest value in 1, -0.066, -3? -3 Which is the third smallest value? (a) 1/5 (b) 2/43 (c) 1 (d) -1 a Which is the third smallest value? (a) 3/64 (b) 4 (c) 1 (d) -5 c Which is the second biggest value? (a) -0.4 (b) 1/3 (c) 1860 b What is the smallest value in -4/7, 0.4, 2? -4/7 Which is the third smallest value? (a)
{ "pile_set_name": "DM Mathematics" }
ivide -1814 by 3. -1814/3 Divide -37928 by -862. 44 -8228 divided by 34 -242 What is 4005517 divided by 5? 4005517/5 Calculate 0 divided by -140100. 0 Divide 21990 by 7. 21990/7 Calculate 207550 divided by 4. 103775/2 Calculate 2679600 divided by -6. -446600 Divide -10866 by -10866. 1 19482 divided by 9741 2 What is 40262 divided by -20131? -2 Calculate 0 divided by -21476. 0 Calculate 140452 divided by -1924. -73 396 divided by -43 -396/43 327837 divided by -1 -327837 Calculate 15015 divided by -17. -15015/17 -3190056 divided by 4 -797514 -9027 divided by 21 -3009/7 Calculate -5340260 divided by -2. 2670130 Divide 347475 by -13899. -25 Divide -124 by 10. -62/5 What is -16857 divided by 6? -5619/2 What is -28 divided by -1553? 28/1553 What is 23 divided by 2554? 23/2554 Calculate -1431 divided by -44. 1431/44 What is -49206 divided by 10? -24603/5 Divide -13013 by 13013. -1 Calculate -39 divided by -6. 13/2 0 divided by 6065 0 Calculate -41755 divided by -1. 41755 What is -75530 divided by 2158? -35 Divide -46 by -836. 23/418 Divide -882 by -534. 147/89 What is 72288 divided by -288? -251 What is 23328 divided by 729? 32 -116996 divided by 6 -58498/3 What is 5763354 divided by 489? 11786 Calculate -132362 divided by 34. -3893 Divide -648440 by 145. -4472 Divide -481680 by -120420. 4 Calculate -4480 divided by 16. -280 -198 divided by 3688 -99/1844 Calculate 254175 divided by -50835. -5 What is -1 divided by 19330? -1/19330 Calculate 157 divided by 1. 157 152 divided by -4149 -152/4149 -18674 divided by -12 9337/6 What is 5 divided by -18987? -5/18987 What is -520 divided by 70? -52/7 Calculate -12537 divided by 12. -4179/4 Divide -284960 by 142480. -2 Calculate 17 divided by -344304. -17/344304 Calculate -2514 divided by -266. 1257/133 -22 divided by 2612 -11/1306 Divide -111190 by 2. -55595 What is 182344 divided by 4? 45586 75864 divided by 4 18966 What is 1658390 divided by -866? -1915 Calculate 2 divided by -833262. -1/416631 Divide -2846659 by -1. 2846659 3808 divided by 8 476 Divide 1 by -185579. -1/185579 Divide -13988 by -26. 538 Calculate 4 divided by -9358. -2/4679 Divide 20108 by -11. -1828 Divide -520701 by -14073. 37 Calculate 305508 divided by 10911. 28 0 divided by 21734 0 Divide -1033 by 1. -1033 Calculate -3356 divided by 107. -3356/107 Divide 5 by 261369. 5/261369 Calculate -549057 divided by -5. 549057/5 Calculate -88 divided by -1704. 11/213 21282 divided by -3 -7094 -1784328 divided by -114 15652 What is -152 divided by -40? 19/5 -24084 divided by 36 -669 -19443 divided by 2 -19443/2 -2956006 divided by 1478003 -2 What is 2 divided by -13686? -1/6843 What is -23763 divided by 267? -89 Divide 6004 by 1501. 4 Calculate 385 divided by -355. -77/71 Calculate -79792 divided by 19948. -4 Divide -435860 by 4. -108965 759 divided by -106 -759/106 Calculate 1237496 divided by -618748. -2 Calculate -344544 divided by -3. 114848 1097492 divided by 274373 4 Divide 144419 by -5. -144419/5 2306 divided by 881 2306/881 1608880 divided by -22984 -70 Calculate -6938 divided by -23. 6938/23 14 divided by 41816 7/20908 What is 631 divided by -16? -631/16 -15611 divided by -3 15611/3 Divide 109160 by -4. -27290 Divide -264796 by 18914. -14 Calculate 20 divided by 2425. 4/485 What is -53 divided by 36345? -53/36345 Calculate 43806 divided by 5. 43806/5 Divide 1 by -1116427. -1/1116427 Calculate 851 divided by 87. 851/87 885 divided by -5 -177 Calculate -5 divided by 15780. -1/3156 What is -342000 divided by -85500? 4 What is -5 divided by 358751? -5/358751 -1360680 divided by -4 340170 Calculate 6 divided by -987105. -2/329035 What is -71 divided by -6? 71/6 What is 2 divided by 4182? 1/2091 -1 divided by 18570 -1/18570 Calculate 396762 divided by -3. -132254 65023 divided by -49 -1327 Divide -18970 by 3. -18970/3 Calculate 13500 divided by -2. -6750 What is -74173 divided by -11? 6743 -1519455 divided by -87 17465 What is 120 divided by -19305? -8/1287 231856 divided by -16 -14491 Calculate 157845 divided by 255. 619 Divide -58682 by -1586. 37 -8548 divided by 4274 -2 1509 divided by -8 -1509/8 3063 divided by 3 1021 Divide -53 by -2953. 53/2953 What is 42 divided by 1427? 42/1427 Calculate 27597 divided by -1. -27597 -2937945 divided by -3 979315 -634095 divided by 211365 -3 1931868 divided by 6 321978 Divide 33008 by 70. 16504/35 Calculate 39147 divided by 1. 39147 Calculate 103054 divided by 2. 51527 3 divided by -66924 -1/22308 -18475 divided by -1 18475 -5 divided by -201261 5/201261 What is 458232 divided by 2? 229116 Calculate -132300 divided by -294. 450 31 divided by -8328 -31/8328 Divide -428550 by -2. 214275 Calculate 82044 divided by 6. 13674 Divide -23655 by -83. 285 Calculate -91330 divided by 2. -45665 What is -96 divided by 16? -6 0 divided by 905210 0 Divide -64168 by -3. 64168/3 Calculate -5 divided by -3368. 5/3368 Divide -2 by 911175. -2/911175 Calculate -36013 divided by -17. 36013/17 Calculate 210 divided by -978. -35/163 Divide -568575 by 1805. -315 1031042 divided by -13933 -74 Calculate 12 divided by -5698. -6/2849 -6888 divided by -12 574 What is 1067808 divided by -44492? -24 Divide 88 by -2438. -44/1219 Calculate 388975 divided by 77795. 5 Divide -735 by 751. -735/751 What is -1 divided by 20406? -1/20406 Divide 3 by -82778. -3/82778 -405048 divided by -135016 3 Divide 2772 by -28. -99 -2912 divided by -16 182 -540320 divided by -1228 440 Divide 121114 by -121114. -1 Calculate -214449 divided by -7. 214449/7 Calculate 4 divided by -85481. -4/85481 What is -115368 divided by 4807? -24 What is -344 divided by -228? 86/57 Divide -131940 by 15. -8796 Divide -1783754 by -206. 8659 Calculate -3795075 divided by 1265025. -3 877 divided by -1241 -877/1241 4 divided by -70186 -2/35093 What is -256 divided by -1092? 64/273 Calculate 662476 divided by 165619. 4 Calculate 3604601 divided by 277. 13013 Divide -567 by -21. 27 What is 2930 divided by 147? 2930/147 What is 7 divided by 603? 7/603 -1 divided by 61141 -1/61141 165546 divided by 55182 3 -675824 divided by 1 -675824 What is -6240 divided by 8? -780 Divide -18 by 18926. -9/9463 Calculate 792056 divided by 1094. 724 Calculate 20 divided by -2567. -20/2567 Divide -354432 by -71. 4992 Calculate -167824 divided by 5. -167824/5 What is -221 divided by -898? 221/898 4926 divided by 104 2463/52 Divide 4057881 by 1352627. 3 Calculate -2311858 divided by 4. -1155929/2 Calculate -5 divided by -29923. 5/29923 Calculate 194870 divided by -4. -97435/2 What is -3614 divided by 13? -278 Divide 25 by 12668. 25/12668 -2 divided by 178047 -2/178047 Divide 17 by 18079. 17/18079 What is -307589 divided by -3? 307589/3 Calculate -890905 divided by 5. -178181 What is 96 divided by 187? 96/187 Divide 63216 by -3. -21072 -6767052 divided by -3 2255684 Divide -12116 by 41. -12116/41 121032 divided by -1 -121032 Calculate -3284352 divided by -3. 1094784 What is 2140104 divided by -23262? -92 What is -27070 divided by 14? -13535/7 Calculate 232978 divided by 5. 232978/5 What is -541898 divided by -6? 270949/3 Divide 46652 by 56. 11663/14 Divide 2875 by -23. -125 Calculate 0 divided by -273969. 0 What is 10260 divided by 95? 108 Divide 328480 by 5. 65696 What is -64215 divided by -1427? 45 What is 2723214 divided by 209478? 13 Divide -37750 by -5. 7550 Divide -133155 by -5. 26631 Calculate -58541 divided by 5. -58541/5 What is 9166 divided by -3? -9166/3 Divide 33 by 4678. 33/4678 What is -47192 divided by -1? 47192 Calculate 67204 divided by 16801. 4 What is -10 divided by 12494? -5/6247 Calculate 2 divided by 311940. 1/155970 -331208 divided by -152 2179 Divide -435892 by 1847. -236 Divide -1402 by 701. -2 What is -1298814 divided by -2? 649407 Calculate -4767532 divided by 1346. -3542 Divide -36829 by -13. 2833 876 divided by -4 -219 Calculate 8 divided by 189193. 8/189193 What is -1754 divided by -1? 1754 Divide 441269 by 3. 441269/3 What is 19 divided by -5101? -19/5101 Calculate 4 divided by -5815. -4/5815 Divide -654 by -218. 3 Divide 7 by -26573. -7/26573 Calculate -1094568 divided by 8. -136821 Calculate 62 divided by 1849. 62/1849 Divide -12784 by 158. -6392/79 -24882 divided by -20 12441/10 Calculate 2 divided by -700966. -1/350483 Divide -11135 by -5. 2227 Divide 3 by 65463. 1/21
{ "pile_set_name": "DM Mathematics" }
+ 89/30*j**6 - 191/2*j**2 - 149*j + 0*j**5 - 1/6*j**4 + 0*j**3. Differentiate r(s) with respect to s. 356*s**3 - 4*s Suppose -268 = -3*s - 2*t + 189, 0 = -4*s + 4*t + 616. Find the third derivative of -99*a**3 - s*a**3 - 36*a**2 + 218*a**3 wrt a. -204 Let l be 4*((-54)/12 - -5). Find the second derivative of h - 9*h**3 + l*h - 4*h + 81*h**3 wrt h. 432*h Let j be (3/6)/(-1 - (-436)/432). What is the second derivative of -28*c - j*c + 34*c**3 + 27*c wrt c? 204*c Find the third derivative of -6 - 6*n - 11*n**3 + 0*n - 4*n - 6138*n**2 - 27*n**3 + 6136*n**2 + 41*n**5 wrt n. 2460*n**2 - 228 Differentiate -71*y**2 - 98*y**2 + 26*y**3 + 179*y**2 - 2*y + 10376 - 29*y**3 wrt y. -9*y**2 + 20*y - 2 Let s(a) be the second derivative of -1505*a**4/6 + 587*a**2/2 + 7*a - 23. Differentiate s(k) wrt k. -6020*k Let f(a) = -3*a**3. Let d(r) = 7*r**4 - 182*r**3 + 1047. Let t(z) = -d(z) + 2*f(z). What is the derivative of t(u) wrt u? -28*u**3 + 528*u**2 Let a(l) be the second derivative of -13747*l**4/12 + 6794*l**2 - 4*l - 773. What is the first derivative of a(n) wrt n? -27494*n What is the third derivative of 3*p**5 + 203*p**6 + 0*p**5 + 17764*p**2 - 17386*p**2 wrt p? 24360*p**3 + 180*p**2 Suppose -z = 1, -8*z = -5*g - 3*z + 310. What is the derivative of -3*h + 62*h**2 - 70 + h - g*h**2 wrt h? 2*h - 2 Suppose 2*m = -8, -2*m - 3*m = 2*k - 20. Let h = -16 + k. What is the first derivative of -2 - 11*t**3 - 6 - h wrt t? -33*t**2 Let k(y) be the second derivative of 3*y**8/56 + 377*y**6/30 + y**4/6 - 44*y**3/3 + 3*y**2/2 + 3886*y. Find the third derivative of k(p) wrt p. 360*p**3 + 9048*p Let m(q) be the second derivative of 0*q**4 - 21/2*q**3 + 0*q**2 + 5*q + 31/10*q**5 - 4. What is the second derivative of m(r) wrt r? 372*r Let w(u) be the third derivative of -3307*u**7/210 + 2615*u**3/6 + 7*u**2 - 22. Differentiate w(o) with respect to o. -13228*o**3 Let l(d) be the second derivative of -1 + 89/12*d**4 + 41/42*d**7 + 0*d**3 + 0*d**6 - 17*d + 0*d**5 + 0*d**2. Find the third derivative of l(p) wrt p. 2460*p**2 Let w(k) = 21*k**2 + 15*k - 2. Let j be w(-1). What is the third derivative of 1450*g**4 + 75*g**2 - 1474*g**j - 3 - g**5 + 3 wrt g? -60*g**2 - 576*g Let i(n) be the second derivative of -1417*n**3/6 - 1287*n**2/2 - 5*n + 61. What is the derivative of i(t) wrt t? -1417 Let f(l) be the third derivative of 13*l**5/10 + 191*l**4/6 - l**3/6 + 144*l**2 + l. Find the second derivative of f(s) wrt s. 156 Let z(b) be the third derivative of 6*b + 0 - 1/24*b**4 - 23/6*b**3 - 8/5*b**5 + 5*b**2. What is the second derivative of z(i) wrt i? -192 Let j(d) be the first derivative of 142*d**6/3 + d**5/5 + 1159*d**3/3 + 277. What is the third derivative of j(g) wrt g? 17040*g**2 + 24*g Let a(u) be the third derivative of -91*u**7/30 - 189*u**3/2 - 878*u**2 + u. What is the derivative of a(j) wrt j? -2548*j**3 Let t(g) be the first derivative of 2/3*g**3 + 26*g - 30 - 17/4*g**4 + 0*g**2. What is the third derivative of t(x) wrt x? -102 Suppose -5*k + 71 = 3*f, 10*f - 5*f - 139 = 2*k. What is the second derivative of 5*q + 13*q**4 - f*q - 74*q wrt q? 156*q**2 Suppose 0 = 8*v - 3*v, -2*n - v = -30. Find the first derivative of -39*t - n - 33 - 120 wrt t. -39 Suppose -3*k + 624 + 444 = 0. What is the derivative of -48*r + 399 - k - 26*r wrt r? -74 Suppose w = -5*y + 57, -5*y + w - 1 = -64. Find the third derivative of 47*i + 0*i**2 - 5*i**2 + 6*i**2 + 0*i**2 - 2*i**3 + y*i**5 wrt i. 720*i**2 - 12 Let q = 45/2 + -15. Let m(x) be the first derivative of 0*x + 0*x**3 - 22/3*x**6 + 0*x**5 + 0*x**4 + q*x**2 + 6. Find the second derivative of m(d) wrt d. -880*d**3 Let f be (-7)/(-14)*-2 + 3. What is the second derivative of -63*t**2 + 125*t**f - 131*t + 80*t**2 wrt t? 284 Let h(w) = w + 3. Let o(c) = -1698*c + 1388. Let m(f) = -6*h(f) + o(f). Find the first derivative of m(s) wrt s. -1704 Let k(g) be the first derivative of -61*g**5/20 + 3*g**4 + 35*g + 27. Let a(y) be the first derivative of k(y). What is the third derivative of a(h) wrt h? -366 Let h(t) be the first derivative of 2357*t**3/3 + t**2 + 687*t + 503. What is the second derivative of h(j) wrt j? 4714 Suppose 75 = 74*z - 69*z. What is the third derivative of 7*l**2 + 17*l**2 - 7*l**3 - 26*l**2 + z*l + l wrt l? -42 Suppose -2*o + b + 74 = 0, o - 2*b = -2 + 33. What is the second derivative of 69*z + o*z - 80*z - 54*z**2 wrt z? -108 Let o = 6 - -4. Let m be 66/o - (-72)/(-120). Find the second derivative of d**2 - 9*d - 5*d + m*d**2 wrt d. 14 Let s(f) be the first derivative of 1076*f**5/5 + 86*f + 680. What is the derivative of s(b) wrt b? 4304*b**3 Let v(o) be the first derivative of -6*o**7/7 + 7*o**5 - 496*o**3 + 627. Find the third derivative of v(s) wrt s. -720*s**3 + 840*s Suppose 4*t - 4 = 2*r, -1 - 11 = -2*r - 4*t. What is the third derivative of -38*u**4 + 43*u**r - 11*u**4 + u**2 wrt u? -1176*u Suppose 3*h + 3 = 5*b, 4*b - 20*h - 1 = -19*h. What is the third derivative of -145 + 156 - 198*o**3 + 3*o**2 + b*o**2 + 0*o**2 wrt o? -1188 Let v(o) be the second derivative of 116*o**6/15 + 1792*o**2 + o - 552. What is the first derivative of v(u) wrt u? 928*u**3 Suppose 7*n = 9*n - 15802. What is the second derivative of 2*t**3 - 18*t**4 + 7946*t - 2*t**3 - n*t wrt t? -216*t**2 Let z(f) be the second derivative of 1239*f**5/20 + 4*f**3/3 + 15*f**2 + 205*f + 2. Find the second derivative of z(s) wrt s. 7434*s Let q(j) be the first derivative of -8401*j**5/5 - 6920*j - 1420. Find the first derivative of q(v) wrt v. -33604*v**3 Let h(w) = -w**2 - w - 1. Let s be h(4). Let l = s + 24. What is the third derivative of -9*j**2 - 544 + 544 - 22*j**l wrt j? -132 What is the first derivative of 64293*o - 4042 + 250*o**2 + 422 - 71*o**2 - 64302*o wrt o? 358*o - 9 Suppose -2*c = -727 - 91. Let u = c + 142. What is the first derivative of -u*i + 551*i + 20*i**2 + 22 wrt i? 40*i Let s(b) be the third derivative of -1/70*b**7 + 0*b**6 + 0 + 3*b + 0*b**3 + 1/60*b**5 + 14*b**2 - 7/3*b**4. What is the second derivative of s(c) wrt c? -36*c**2 + 2 Let o(p) be the first derivative of 0*p**5 - 22/3*p**3 + 0*p**2 + 0*p - 52 + 1/3*p**6 + 3*p**4. What is the third derivative of o(z) wrt z? 120*z**2 + 72 Let v(l) be the first derivative of l**4/4 - 155*l**3 + 3*l**2/2 - 32*l + 2183. What is the second derivative of v(s) wrt s? 6*s - 930 Suppose -j + 119 = -5*h, -10*j = -7*j - h - 343. What is the first derivative of -j + 78 - 2*k**2 + 47 + 40 + 4*k**4 wrt k? 16*k**3 - 4*k Let q = 55585 + -25084. Find the third derivative of 30501*a - 28*a**2 - q*a + 173*a**3 wrt a. 1038 Let r = -15 - -19. What is the third derivative of 388*g**3 - 70*g**2 - 388*g**3 + 8*g**r + 4*g**6 wrt g? 480*g**3 + 192*g Let h = 135 + -127. Differentiate -56 - 23*l**2 + h + 218 wrt l. -46*l Let i(c) = 6*c**4 - 2*c**3 + c**2 - c. Let m(j) = 29*j**4 + 117*j**3 + 6983*j**2 - 4*j. Let o(x) = -4*i(x) + m(x). What is the third derivative of o(l) wrt l? 120*l + 750 Let i = -41 - -48. Differentiate -54 + 66*d + 3 + 111 + i wrt d. 66 What is the derivative of -160*p**2 + 4600 + 161*p**2 + 68*p**3 + 11*p**3 - 28*p**3 + p wrt p? 153*p**2 + 2*p + 1 Let i(g) be the first derivative of 1286*g**3/3 - 1611*g + 1360. Differentiate i(s) wrt s. 2572*s Let m(s) be the third derivative of -1909*s**7/210 - s**5/60 - 235*s**3/6 + 2194*s**2. What is the third derivative of m(c) wrt c? -45816*c Let v be (-2)/17 + (-728)/(-119). What is the third derivative of 551*n**6 - 549*n**v + 54*n**3 - 2*n**2 + 25*n**2 wrt n? 240*n**3 + 324 Let z = 43 - 67. Let a = z + 48. Find the third derivative of -a*o**2 + 2*o**2 + 14*o**3 - 13 + 13 wrt o. 84 Find the first derivative of 4*m + 9301 - 3*m - 14810 + 3141*m**2 - m wrt m. 6282*m Let j be (2 - 3)/(4 - 315/78). Let a = 2 - -1. Find the second derivative of -j*s**a + 85*s**3 - 28*s**3 - 29*s**3 + 20*s wrt s. 12*s Let l(d) = d**2 + 11*d - 71. Let c be l(5). What is the second derivative of 89*u**3 - c*u**2 - 85*u**3 + 51 - u + 87 wrt u? 24*u - 18 Find the first derivative of -9102*m - 9882*m - 5221 + 15688 - 452*m + 5805*m wrt m. -13631 Let s(t) be the second derivative of -647*t**8/28 + 1717*t**4/6 + 7*t + 66. What is the third derivative of s(l) wrt l? -155280*l**3 Let x be 4/6 + (-6)/9. Let u be 0/((-6)/(-3)) - (-3 - x). Find the first derivative of -59
{ "pile_set_name": "DM Mathematics" }
-145 and 0.691? 145.691 What is -5 take away -0.039698? -4.960302 What is -56 - 2? -58 What is 29399 less than -0.4? -29399.4 -0.1 - 24040 -24040.1 What is 2 less than -69482? -69484 What is -15 less than -284743? -284728 What is the difference between -49 and -2.7882? 46.2118 What is 26.1 - 6? 20.1 Add 48647 and 0.029. 48647.029 What is the difference between -197 and 0.05? 197.05 What is -40093 - 12? -40105 Work out 6 + -0.517. 5.483 Put together -0.38 and -1290. -1290.38 Subtract 8611 from -0.81. -8611.81 What is the distance between 3 and 185.74? 182.74 -0.21754 - -267 266.78246 Work out 0.4 - 1092.1. -1091.7 Calculate 27.8 - 44. -16.2 Add together 0.0564 and 4. 4.0564 Put together 0.075384 and -0.1. -0.024616 Subtract -1591 from -0.7. 1590.3 What is -93.3065 less than 0.5? 93.8065 Calculate -3 + 10.04673. 7.04673 0.097+-18 -17.903 What is 1056 - -18? 1074 Add 2 and 838439. 838441 -593 + -60 -653 Subtract -672 from -0.5. 671.5 What is 14 minus 12425? -12411 Put together 0.91 and -16. -15.09 -4805 + 0.11 -4804.89 Work out -0.4 - -0.0403678. -0.3596322 What is 5009 minus -27.2? 5036.2 What is -63 + -576? -639 0.05 - -440407 440407.05 What is 121 take away 43.4? 77.6 Subtract 1129561 from 0. -1129561 Calculate 2397 + -1.3. 2395.7 Sum -173 and 319.65. 146.65 What is 8 less than 1.7? -6.3 What is -903 - -0.089? -902.911 Total of 6 and 950. 956 Add 0.586 and 181. 181.586 Work out 79.381 - 0.4. 78.981 What is 3 + -1991.5? -1988.5 Put together -10 and 18.3. 8.3 Total of 293 and -33. 260 What is 14 less than -0.18? -14.18 Add 25 and 223596. 223621 What is -0.8 plus -0.62982? -1.42982 What is 1364864 minus 0.5? 1364863.5 -0.05836 - 5 -5.05836 What is 28 less than -0.385? -28.385 Add together 8 and 847. 855 -166.5 - -3 -163.5 Work out 0.2 - 164214. -164213.8 Work out 0.114356 + -0.51. -0.395644 Calculate -0.036 + -357.7. -357.736 Add together -248 and 0.2. -247.8 What is -0.2635 - 0.22? -0.4835 What is -4 plus 2.3? -1.7 What is -51.8 take away -0.0199? -51.7801 Sum -1.48 and -383. -384.48 What is 0.325 + -82? -81.675 Sum -355859 and -2. -355861 What is 0.5 minus 19921.6? -19921.1 Calculate -0.000682 + -4. -4.000682 Add together -7.0994 and -5. -12.0994 -0.0877+-0.7 -0.7877 Total of -197066 and 1. -197065 Add together 13.07 and 335. 348.07 Work out 0.5 - 1546325. -1546324.5 What is -168045 take away 0? -168045 Add 2.01 and -3. -0.99 Subtract 0.11409 from -0.4. -0.51409 Work out 13.209 - -0.0341. 13.2431 Work out -0.4 + 11.9. 11.5 2 - -0.729 2.729 Add 5 and 266. 271 What is -141 minus -3.7? -137.3 Sum 0.0672 and -0.51. -0.4428 Calculate 0.2 - 0.941. -0.741 Add together -2 and 56952. 56950 What is 3 - 1061? -1058 What is 101.8 less than 0.14? -101.66 What is 0.1 minus 294147? -294146.9 What is 47 + -19.997? 27.003 What is 246 minus -10? 256 Calculate -1.6 + -318. -319.6 What is the difference between -36.128 and -0.1? 36.028 Calculate -0.05 - -129.205. 129.155 Put together -1 and -190. -191 -172+-0.5 -172.5 Sum 0 and 0.02714. 0.02714 What is 0.053 less than -3578? -3578.053 Work out 0.4 - 7399.8. -7399.4 Subtract 202 from 5.1323. -196.8677 What is -6654 + -0.1? -6654.1 What is 3 minus 241? -238 Total of -18.1 and 650.7. 632.6 Put together -0.38 and 0.0309. -0.3491 -1 - -0.594 -0.406 Work out 5 - 19821. -19816 Calculate 87.69 - -0.03. 87.72 -3.62+-0.19 -3.81 -0.4+-16612 -16612.4 1.3 + -17 -15.7 What is -0.65961 take away -0.1? -0.55961 Subtract 225 from -0.6. -225.6 Work out -96 + -1. -97 Work out 29 - 1776. -1747 Sum 5355 and -84. 5271 Calculate 4 - 11211. -11207 What is 1 + -382996? -382995 0.736 + 0.01724 0.75324 What is the difference between -0.4 and 7589.7? 7590.1 What is -19 - -0.831? -18.169 Sum 12 and -244058. -244046 What is -0.69 plus -308.55? -309.24 What is the difference between -36 and -69.95? 33.95 Total of -157 and 37. -120 Calculate -173.7 + 172. -1.7 What is 85.6 plus 8? 93.6 0.5765+4 4.5765 -0.074 + 0.12706 0.05306 Total of -659864 and -1. -659865 Put together -0.05 and 11.5. 11.45 What is -107989 take away -21? -107968 What is -1315 less than -0.1? 1314.9 Add -12 and 9514. 9502 Work out 22 + 1.9. 23.9 What is -36 - 0.19599? -36.19599 -64824 + -17 -64841 What is the distance between 16.73327 and 0? 16.73327 -13+3243.4 3230.4 Subtract 355 from -2753. -3108 Sum 6 and 49.5. 55.5 Sum -11.2 and 46757. 46745.8 Calculate -1605.8 + -4. -1609.8 Put together -0.9 and -586.51. -587.41 6.01 - 0.3 5.71 What is -1104 less than 0.3? 1104.3 What is the distance between -593 and -0.2? 592.8 Add together -2095084 and 0.5. -2095083.5 What is 120.962 + -0.5? 120.462 Add -16 and -279337. -279353 Sum -15.651 and -1. -16.651 Add -3.489 and -3668. -3671.489 Calculate -31912.8 + 3.4. -31909.4 Sum -1194.6 and -4. -1198.6 Subtract -178.4 from -0.0001. 178.3999 Sum -103348 and 0.1. -103347.9 Total of -0.8766 and -11. -11.8766 What is the distance between 0.3 and 231.78? 231.48 11 - 0.057 10.943 Add together -5 and 756062. 756057 Total of -0.9 and 552.587. 551.687 0.9197 - -0.2 1.1197 Put together -5.1 and 919. 913.9 -1.1+1.651 0.551 0.5+-0.0493 0.4507 -24+2.135 -21.865 Put together 62 and -30.96. 31.04 What is the distance between -1.92 and 0.081? 2.001 Subtract 5682 from -0.4. -5682.4 Sum -15 and 201. 186 426+-285 141 -0.5 + 385300 385299.5 Add 2.20485 and 1. 3.20485 What is 2224 - 142? 2082 What is -4 minus 11.54? -15.54 Calculate 5 - 24.4. -19.4 Work out -205.8 - -0.02. -205.78 Calculate -0.5 + 20026. 20025.5 Calculate 2 + -324. -322 Sum 4 and -28.08. -24.08 Put together -39.7 and 27. -12.7 What is -1 less than -33037? -33036 What is -6997 take away -4? -6993 Add -0.0882 and 104. 103.9118 What is -20654 less than 4.3? 20658.3 Subtract 1147 from -5. -1152 Add 0.3 and 688. 688.3 Work out -1.37 - 2.7806. -4.1506 What is 0.5 + -525? -524.5 What is -545 less than 301? 846 What is the distance between -0.3 and 213.2954? 213.5954 Add -56.2 and 0.5. -55.7 What is 6.722 less than -4? -10.722 What is 296 plus 1.1? 297.1 Work out 55359 - 0.61. 55358.39 Subtract 0.08 from -2039.64. -2039.72 Sum 420.9 and 15. 435.9 Put together -0.2 and 53.96. 53.76 Add 4 and 4.49339. 8.49339 Put together -5 and -0.18. -5.18 -1 + 292 291 What is 0.3 less than -200370? -200370.3 Calculate 1 - -2058003. 2058004 What is 31 less than -20? -51 Work out -0.5 - -1358. 1357.5 2631+-10 2621 Subtract -126 from 56791. 56917 Add 1.374293 and -0.4. 0.974293 Put together 4 and -5.23. -1.23 Add together 8382 and 0.4. 8382.4 Sum -4 and -814082. -814086 What is 1029 minus 0? 1029 Calculate 39074 - -5.2. 39079.2 Subtract 17.654 from -0.76. -18.414 35 - -2.872 37.872 -55+0.122 -54.878 What is the distance between -98937 and -1? 98936 13+-7.52 5.48 -0.0524123 + 2 1.9475877 39 - 0.4721 38.5279 What is -10.89 minus 0.86? -11.75 What is 9.2 plus -153? -143.8 Work out -863 + 0.5. -862.5 What is the distance between 22 and -277? 299 What is 8401 take away 1.2? 8399.8 47042 - -0.7 47042.7 1.821+-107 -105.179 Total of -6.96 and -2. -8.96 What is -16957.6 less than 0.01? 16957.61 What is 1397 plus -0.284? 1396.716 40484 - -25 40509 Sum -15 and 0.1299. -14.8701 What is 12 minus 9361? -9349 Put together 0.4 and 1477. 1477.4 What is 49.02 plus -0.128? 48.892 Put together 17.1 and 0.05. 17.15 What is 284.1 + -5? 279.1 What is 0 take away -899? 899 What is 3 - -892? 895 Put together -1321.5 and -0.3. -1321.8 Subtract 133.066 from 0.1. -132.966 0.1+1227 1227.1 Calculate -0.3 + -0.1648. -0.4648 Add -968 and -0.4. -968.4 What is 16191 minus 0.8? 16190.2 0.5 + 1185 1185.5 What is the difference between 132 and 8? 124 Put together -12 and 80. 68 Work out 5.384 + -7.1. -1.716 What is -2537 minus -67? -2470 What is 4 take away 47690? -47686 What is 0.1 less than -217? -217.1 Work out 1.859 - 19. -17.141 What is 226.5 + -0.14? 226.36 Work out -1.5 + 786. 784.5 What is -4 plus -123694? -123698 What is -2995 take away -55? -2940 Work out -4 - 155081. -155085 Calculate -263 + 1.62. -261.38 Subtract 16.3 from -0.5. -16.8 What is 2317 less than 3? -2314 What is -0.5 less than 3.53153? 4.03153 Add -0.321 and 0.55. 0.229 Subtract 0.4 from 31.2981. 30.8981 What is -0.9 less than -6173? -6172.1 What is 0.00242 plus 1? 1.00242 Work out 5.2 + 0.26272. 5.46272 What is -126371 less than -0.03? 126370.97 Put together -3.4 and -989. -992.
{ "pile_set_name": "DM Mathematics" }
0, -593, -1200, -1927, -2780? -3765 What is the next term in 899, 1925, 3619, 5987, 9035, 12769, 17195, 22319? 28147 What comes next: 106542, 213136, 319782, 426486, 533254? 640092 What comes next: 4667, 37250, 125645, 297764, 581519, 1004822, 1595585? 2381720 What comes next: -10581, -18329, -26077, -33825, -41573, -49321? -57069 What is next in 13190, 26026, 38862? 51698 What is next in -4779, -38434, -129833, -307848, -601351, -1039214, -1650309, -2463508? -3507683 What comes next: 2895, 7923, 15077, 24357, 35763, 49295, 64953? 82737 What comes next: -79014, -79057, -79096, -79131, -79162, -79189, -79212? -79231 What comes next: -2850742, -5701485, -8552228, -11402971, -14253714, -17104457? -19955200 What is next in 49, 159, 321, 529, 777, 1059, 1369? 1701 What is the next term in -17781, -17651, -17437, -17139, -16757? -16291 What comes next: 41046324, 82092649, 123138974? 164185299 What is next in -147930, -295810, -443630, -591390, -739090, -886730, -1034310? -1181830 What comes next: -494, -1047, -1692, -2459, -3378, -4479, -5792, -7347? -9174 What comes next: 98182, 196288, 294394, 392500? 490606 What is next in -8011609, -8011610, -8011611, -8011612? -8011613 What is next in -7435, -14835, -22219, -29587, -36939? -44275 What is next in 511985, 2047930, 4607839, 8191712? 12799549 What is the next term in 1736314, 1736316, 1736318, 1736320, 1736322? 1736324 What is next in 5503657, 5503661, 5503665, 5503669, 5503673, 5503677? 5503681 What is the next term in 18818220, 37636442, 56454664, 75272886, 94091108? 112909330 What comes next: 953, 2325, 4525, 7967, 13065, 20233? 29885 What comes next: -969126, -1938518, -2907910, -3877302, -4846694, -5816086? -6785478 What is next in -12688907, -12688911, -12688915, -12688919, -12688923, -12688927? -12688931 What is next in 17176, 27523, 37870, 48217? 58564 What is next in -439692, -439907, -440266, -440769, -441416? -442207 What is next in 226167, 452334, 678503, 904674, 1130847? 1357022 What is next in -77357656, -154715308, -232072960, -309430612, -386788264, -464145916? -541503568 What is the next term in -98503, -98668, -99111, -99970, -101383, -103488, -106423, -110326? -115335 What is next in -18849, -151006, -509773, -1208454, -2360353, -4078774? -6477021 What comes next: -1348, -7284, -23380, -54712, -106356? -183388 What is the next term in 1573823, 1573828, 1573837, 1573850, 1573867? 1573888 What is the next term in 16248, 33268, 50288? 67308 What is the next term in 45332, 45653, 45976, 46301, 46628? 46957 What is the next term in 76453, 305871, 688241, 1223563, 1911837, 2753063, 3747241? 4894371 What is next in -40380, -161357, -362954, -645171? -1008008 What is the next term in -91932067, -91932070, -91932083, -91932112, -91932163, -91932242, -91932355? -91932508 What is next in 66, 4590, 9114, 13638? 18162 What is next in 2833, 2594, 2343, 2074, 1781? 1458 What is the next term in 425346, 425207, 425068? 424929 What is next in -16420, -32931, -49442, -65953, -82464? -98975 What comes next: -302, -801, -1338, -1919, -2550, -3237? -3986 What comes next: -253398, -506801, -760204, -1013607, -1267010? -1520413 What comes next: -489237, -489252, -489267, -489282? -489297 What comes next: 22887, 25574, 28261, 30948? 33635 What comes next: -1008, -8786, -30032, -71466, -139808? -241778 What is the next term in -180137323, -180137327, -180137335, -180137347? -180137363 What is next in 74060, 148265, 222474, 296687, 370904, 445125? 519350 What is next in 30, -1389, -3778, -7137, -11466? -16765 What comes next: 221603, 443172, 664689, 886142, 1107519, 1328808? 1549997 What comes next: -35039, -34391, -33743? -33095 What is next in -35339, -70672, -106005, -141338, -176671, -212004? -247337 What comes next: 22088, 22246, 22470, 22754, 23092, 23478, 23906? 24370 What is next in -209535, -420742, -631953, -843168, -1054387, -1265610, -1476837? -1688068 What is the next term in 1547078, 1547075, 1547072? 1547069 What is the next term in 57515049, 115030095, 172545141, 230060187, 287575233? 345090279 What comes next: -83383, -83332, -83281, -83230? -83179 What is the next term in -25, -294, -715, -1294, -2037, -2950, -4039? -5310 What is next in -1020, -775, -300, 411, 1364, 2565? 4020 What is the next term in -25023, -49821, -74619? -99417 What is next in -15131, -31890, -48655, -65432, -82227? -99046 What is the next term in -16625, -33216, -49773, -66290, -82761, -99180, -115541, -131838? -148065 What is the next term in -312, -1648, -5284, -12372, -24064? -41512 What comes next: 98170, 98151, 98132, 98113, 98094, 98075? 98056 What comes next: -381349, -381287, -381231, -381181, -381137? -381099 What is next in 4046996, 4046971, 4046946, 4046921, 4046896, 4046871? 4046846 What is the next term in -17906, -19374, -20830, -22268, -23682, -25066? -26414 What is the next term in 605, 2694, 6609, 12698, 21309, 32790, 47489? 65754 What is the next term in -12085, -23528, -34963, -46384, -57785, -69160, -80503? -91808 What is next in -243477, -243368, -243187, -242934, -242609, -242212? -241743 What comes next: 985567, 1970657, 2955747, 3940837, 4925927, 5911017? 6896107 What is the next term in -4528, -8461, -12406, -16363, -20332, -24313? -28306 What is next in 199923, 399693, 599463, 799233, 999003? 1198773 What comes next: -7404204, -14808407, -22212610? -29616813 What comes next: -51993, -52043, -52165, -52395, -52769, -53323? -54093 What comes next: -417, -1303, -2793, -4893, -7609, -10947? -14913 What is next in -1439, -3652, -6609, -10310? -14755 What is next in 139081, 138958, 138753, 138466? 138097 What is next in 528, 1027, 1520, 2013, 2512, 3023, 3552, 4105? 4688 What is next in -661, 79, 2271, 6701, 14155, 25419, 41279? 62521 What is next in 294675, 294686, 294699, 294714? 294731 What is the next term in 804118, 804085, 804052, 804019? 803986 What is next in -1005231, -2010550, -3015871, -4021194? -5026519 What comes next: -164067, -655000, -1473223, -2618736? -4091539 What comes next: 123488, 247861, 372248, 496655, 621088, 745553, 870056? 994603 What is next in 244697, 489387, 734075, 978761, 1223445, 1468127? 1712807 What is the next term in 46, 200, 430, 748, 1166? 1696 What comes next: 145, -153, -635, -1313, -2199, -3305, -4643, -6225? -8063 What is the next term in -836, -949, -1126, -1367, -1672? -2041 What comes next: -16018, -36824, -57630? -78436 What comes next: 719736, 719738, 719740, 719742, 719744? 719746 What comes next: 27776, 27732, 27688, 27644, 27600, 27556? 27512 What is the next term in 8649, 17034, 25419, 33804? 42189 What is the next term in 2844, 1411, -22, -1455, -2888? -4321 What is the next term in 108, 1291, 4350, 10221, 19840, 34143? 54066 What is the next term in -30726, -29056, -27384, -25710, -24034, -22356, -20676? -18994 What is next in 20577692, 20577697, 20577706, 20577719, 20577736, 20577757? 20577782 What is next in 4363, 9072, 13781, 18490, 23199? 27908 What is next in 22597265, 45194538, 67791811, 90389084? 112986357 What is the next term in -2061292, -4122573, -6183818, -8245009, -10306128? -12367157 What is next in 196597, 393288, 589979? 786670 What comes next: 2164, 4977, 7792, 10609, 13428, 16249? 19072 What is next in -176330, -702934, -1580600, -2809322, -4389094, -6319910, -8601764, -11234650? -14218562 What is the next term in 1961673, 1961708, 1961803, 1961988, 1962293? 1962748 What comes next: -121407, -242792, -364177? -485562 What comes next: 70607, 141116, 211625? 282134 What is next in -1783343, -7133306, -16049913, -28533164, -44583059? -64199598 What is the next term in 19219, 19591, 19963, 20335, 20707? 21079 What is the next term in -277, -678, -1267, -2140, -3393, -5122, -7423? -10392 What is next in -3857, -4042, -4233, -4430? -4633 What is the next term in 34937788, 34937786, 34937784? 34937782 What is next in 5597, 21390, 47377, 83558, 129933, 186502, 253265? 330222 What is next in 2375, 6935, 13817, 23015, 34523, 48335, 64445, 82847? 103535 What is the next term in -2226945, -2226954, -2226973, -2227008, -2227065, -2227150? -2227269 What is the next term in -35048249, -35048248, -35048247, -35048246? -35048245 What comes next: 3002, 4277, 3824, 1643, -2266? -7903 What is next in -25702, -25229, -24756? -24283 What com
{ "pile_set_name": "DM Mathematics" }
+ 4*c + 7. Let p(h) = 4*g(h) - 14*i(h). Let a be p(-2). Let r(l) = -l**2 - 9*l - 1. What is r(a)? -11 Let h(d) = -d + 1. Let g(a) = -25*a**2 - 5*a - 6. Let k be g(-1). Let i = 28 + k. Give h(i). -1 Let h(a) = 5*a + 1. Suppose -k + 5 = 9. Let c(f) = 3*f + 1. Let d(q) = k*h(q) + 7*c(q). What is d(-6)? -3 Let i be (-4)/(-26) + (-1280)/208. Let j(l) = l**3 + 8*l**2 + 10*l - 7. Determine j(i). 5 Let s(t) be the second derivative of t**4/12 - 2*t**3/3 - t**2/2 - 1419*t. Let a = 0 + 2. Suppose 0 = 2*g - a + 10, -r + 26 = -5*g. Give s(r). 11 Let p(t) = -9*t**2 + 75*t + 65. Let n(o) = 2*o**2 - 18*o - 16. Let h(s) = 13*n(s) + 3*p(s). What is h(-9)? -13 Let s(t) = -t**2 - t + 8. Let f(p) = -22*p + 765. Let y be f(35). Calculate s(y). -12 Let x be ((-18)/(-10))/(-4 + (-129)/(-30)). Suppose -i - 15 = -x*i. Let g(v) = -v + 4. What is g(i)? 1 Let f(l) = -9*l + 1 + 23*l - 3 - 5*l - l. Determine f(3). 22 Let q(k) = k**2 - 10*k - 17. Let c = 516 - 504. What is q(c)? 7 Let z(c) be the third derivative of -c**6/120 + c**5/20 + 5*c**4/24 + c**3/6 + 21*c**2. Let j be (0/2 - -1) + 3. Give z(j). 5 Let l = 27 - 16. Suppose -2*f = -3*t + l, -2*t - 4*f + 6 = -12. Suppose -4 + t = -w. Let h(o) = 2*o**3 - o**2 + 1. Determine h(w). -2 Let n(h) = -2*h**2 - 1. Let t(c) be the first derivative of -6*c + 1/2*c**2 + 11. Let v be t(7). Determine n(v). -3 Let h(a) be the third derivative of a**4/8 - 2*a**3/3 - 18*a**2. Let t be (2 - 2/4)*4. Let z(b) = 3*b - 5. Let g(u) = t*z(u) - 7*h(u). Determine g(5). -17 Let t(d) be the first derivative of 3*d**2 - 3*d + 46. Give t(2). 9 Let z(y) = -2*y**2 - 3*y - 1. Let q(v) = -v**3 - 2*v**2 + 39*v + 24. Let k be q(-7). Calculate z(k). -21 Let c(y) = -2 - y**2 - y + 25 + 5 + 11 - 7. Determine c(-6). 2 Let n(i) = 219 + 219 - 652 + i**2 + 212 - 2*i. Suppose -z + 4*z = -9, 3*b = -3*z + 3. Give n(b). 6 Let y be -3 + 6*(0 - -1). Suppose -y = -18*j + 19*j. Let q(s) = 2*s**3 + 5*s**2 + 2*s - 1. Give q(j). -16 Let z(g) = 6*g + 11. Let o(r) = -7*r - 13. Let n(a) = -5*o(a) - 6*z(a). Calculate n(-7). 6 Let b(a) = 1 - 4*a - a**2 - 9*a + 15*a. Let s be 32/(-14) + (-8)/(-28). Calculate b(s). -7 Let u(v) be the third derivative of -v**4/24 + 5*v**3/6 - v**2. Let q(f) = -f**3 - 108*f**2 + 222*f + 225. Let p be q(-110). Calculate u(p). 0 Let u(r) = r - 4. Suppose -4*a = -57*i + 52*i - 15, -a + 9 = -2*i. Determine u(i). -11 Suppose 4*i - 14 = -2. Suppose i*y = -4*r - 0*r + 9, 3*r = 0. Let w(u) = u - y*u + 4 - 3*u + 2*u. Determine w(3). -5 Suppose 5*p - 3*p = 0. Let z = 6 + -5. Let a(h) = -h**3 + h - 1. Let s(n) = 7*n**3 + n**2 - 7*n + 9. Let l(c) = z*s(c) + 6*a(c). Determine l(p). 3 Let z be -6*8/(-12)*(-3 + 2). Let h(o) be the third derivative of -o**5/30 - 5*o**4/24 - o**3/3 + o**2. Determine h(z). -14 Let m(c) be the third derivative of c**4/8 - 5*c**3/3 - 135*c**2. Give m(4). 2 Suppose b = -9*b + 30. Let u(r) = -32 + 61 + b*r - 29. Determine u(1). 3 Let r(o) be the second derivative of -4*o**3/3 + 5*o**2 + 161*o. What is r(2)? -6 Let y(k) = k**2 + 10*k + 10. Let r = -69 + 60. Give y(r). 1 Let d be 1*-3 - (7 + -14). Suppose 2*m = 5*h - 11, 6*h - 3*m = d*h. Let f(q) = -5*q**2 - q**2 + 2 - h. Determine f(-1). -7 Let g = 3 + -8. Let y(o) = 3 - 2 + 0 - 4*o + 4*o**2 - 5*o**2. What is y(g)? -4 Let j(y) be the first derivative of 2*y**3/3 - 4*y**2 - 26*y - 42. Determine j(6). -2 Let l(v) = -v**2 - 9*v + 7. Suppose z - 4*z - 4*p + 34 = 0, -10 = -3*z + 2*p. Determine l(z). -83 Let y(o) = 3*o**2 + 9*o. Let g(p) = 5*p**2 + 8*p. Let v(q) = -2*g(q) + 3*y(q). Give v(8). 24 Let b(l) = 2*l**3 - 8*l**2 + 3*l + 3. Let v(m) = m**2 + 1. Let n(x) = -b(x) - v(x). Calculate n(4). -32 Let u be -8*(-1 + 2) - 0. Let k(n) = 3*n + 35. Let z(f) = f + 12. Let j(c) = u*z(c) + 3*k(c). Let h be ((-110)/33)/((-2)/6*-2). What is j(h)? 4 Let n(u) = 1 + 2 - 4*u - 4 + 10 - u**3 + 12*u**2 - 10*u. What is n(11)? -24 Let n(j) = 4*j**2 - 5*j + 1. Let c(h) = 4*h**2 - 7*h + 2. Let q(k) = 3*c(k) - 4*n(k). Give q(2). -16 Let b(x) = 2*x**2 + 10*x + 8. Suppose 4*n - 20 = 2*a, 2*n + 1 = -4*a - 19. Give b(a). 20 Let k(x) = 2*x - 16. Suppose 84 = -21*l + 33*l. Calculate k(l). -2 Let z(q) = 2*q**2 + 4*q - 4. Suppose 6*g = 30 - 18. Give z(g). 12 Let c(x) be the second derivative of x**6/120 - x**5/60 + x**3/6 - 13*x**2 - 41*x. Let o(r) be the first derivative of c(r). Give o(1). 1 Let t(u) = u**2 - 4*u - 2. Let d(y) = 5*y - 15*y + 16 + 9*y**2 - 10*y**2. Let r be d(-11). Determine t(r). 3 Suppose -12*l + 16*l - 20 = -5*w, -25 = -5*l - 4*w. Let u(h) = -h + 9. Determine u(l). 4 Let r(g) be the second derivative of 2*g**3/3 - 7*g**2/2 - 2*g - 31. Let z be (6/14)/((-2)/(-14)). Let c = 3 + z. Give r(c). 17 Let b = 59 - 56. Suppose -t - 2 = -b. Let c(l) = -7*l**3 + l. Give c(t). -6 Let w(j) = j**3 - 5*j**2 - 7*j + 7. Let c(m) be the second derivative of m**5/20 - m**4/12 + m**3/6 + 3*m**2 + 13*m - 1. Let p be c(0). Give w(p). 1 Let b(y) = -11*y**3 + 5 + 7*y**2 + 9*y + 19*y**3 - 3*y**2 - 9*y**3. Give b(6). -13 Let y be 39/(-7) - (-12)/21. Let i(w) = -5*w - 9. Determine i(y). 16 Let t(m) = m + 5. Suppose -2 = h + 2, 40 = -5*d - 5*h. Give t(d). 1 Let h(g) = -g - 10. Let a(f) = -3*f - 39. Let y(x) = -2*a(x) + 9*h(x). Calculate y(9). -39 Let y(q) = -7*q**2 - 9*q - 1. Let j(b) = -40*b**2 - 55*b - 8. Let t(k) = -j(k) + 6*y(k). Let i(n) = n**2 + 2. Let a be i(0). What is t(a)? -4 Let d(n) = -2*n**3 - 3*n**2 - 11*n - 15. Let s(r) = -r**3 - r**2 - 5*r - 7. Let v(c) = 4*d(c) - 9*s(c). Suppose 0 = -0*f + 4*f - 12. Calculate v(f). 6 Suppose 5*y - 396 = -61*y. Let j(w) = 8*w - 17. Calculate j(y). 31 Let v(s) = s**3 - 2*s**2 - 4*s - 4. Let l(a) = 2*a**3 + 4 - a**2 + a - 2*a - a**3. Suppose -3*p + 4*d - 4 = 4, p + 2 = d. Let z be l(p). Determine v(z). 12 Let w(k) = 8*k. Suppose n - 14 = 3*m + 2*m, 5*n + m + 8 = 0. Give w(n). -8 Let u(r) be the third derivative of 17*r**4/24 - r**3/6 + 199*r**2. Let x(j) = -j**3 + 7*j**2 - j + 8. Let c be x(7). Calculate u(c). 16 Let y(i) = -i**2 - 6*i - 6. Let a be y(-2). Let d(r) = 4*r - 2*r**2 + r**2 + 7 + 3*r**2 - r**a. Give d(-6). 19 Let j be (-102)/(-15) + (-2)/(-10). Let h(q) be the first derivative of -3*q**2/2 - 3*q + 4. Give h(j). -24 Let f(k) = -k + 1 + 18 - 3 + 0*k. Determine f(6). 10 Let d(j) be the first derivative of j**6/120 - j**5/60 + j**3 - j**2/2 - 4. Let r(x) be the second derivative of d(x). Let b = 5 - 5. Give r(b). 6 Let q = 1213 - 1242. Let f(s) = -s**2 - 27*s + 62. Give f(q). 4 Let p(y) = -3*y - 4. Let g be (-200)/15 - (-4)/(-6). Let a = -16 - g. Let c(v) = -7*v - 8. Let o(k) = a*c(k) + 5*p(k). Determine o(6). -10 Let z(x) = -x + 4. Let j(t) = 5*t - 23. Let k(v) = -6*j(v) - 34*z(v). Let c(u) = -u**2 + 17*u - 10. Let i be c(15). Suppose i = -2*q - 3*q. Calculate k(q). -14 Let d(a) be the third derivative of a**5/60 - 5*a**4/8 + 31*a**3/6 + 150*a**2. Determine d(14). 17 Let s(z) = -746*z + 375*z - 3 + 364*z - z**2. Determine s(-7). -3 Let m(a) = a + 11*a + 165*a**2 - 1 - 164*a**2. Calculate m(-12). -1 Let k(t) = -3*t + 9. Let o(b) = -17*b + 46. Let f(h) = 11*k(h) - 2*o(h). Calculate f(-4). 3 Let c(k) = 29*k + 5*k - 42*k. Let l(t) = -t**2 + 5*t + 1. Let p be l(5). Give c(p). -8 Let u(a) = 5*a**3 + 1 - 4*a**3 - 4*a - 4*a**2 + 2. Suppose 0*v + 3*v + 1 = d, 5*v - 2*d + 3 = 0. Suppose -2*b + 4*z = -v - 21, 21 = 3*b - 2*z. Determine u(b). 8 Let w(u) = -3*u**3 + 11*u**3 + 3*u**2 - 7*u**3 - 5*u - 6 + 1. Let g be (-4)/10 - (-4)/10. Suppose b + 4 + g = 0. Determine w(b). -1 Let y(w) = -103*w + 40*w - 8 + 33*w + 34*w. Determine y(-3). -20 Let k(s) = 11*s + 60. Let u be 448/(-72) - 2/(-9). Give k(u). -6 Let q(m) = 4*m**3 + 2*m**2 - 9*m + 1. Let t(l) = 2*l**3 + l**2 - 4*l + 1. Let f(u) = -2*q(u) + 5*t(u). Let o = 144 - 142. Give f(o). 19 Suppose -4*o + 11 - 3 = 0. Suppose s - 5 + 3 = o*i, 4*s + i = 17. Let r(q) = q - 4 - s + 2 + 4. Calculate r(6). 4 Let q(u) = -u**3 - 3*u**2 + 5*u - 3. Suppose 100 = -15*k - 5*k. Give q(k). 22 Let d = 8 + -5. Suppose 5*x - 20 = f, f + 9 + 1 = 3*x. Let u(n) = 10*n + 4. Let s(z) = -z - 1. Let h(i) = x*s(i) + u(i). What is h(d)? 14 Let g(x) be the third derivative of 0*x + 0 - 44*x**2 - 13/6*x**3 - 1/24*x**4. What is g(-9)? -4 Let f(y) = 8*y + 112. Let g be f(-14). Let a(u) = u + 4. What is a(g)? 4 Let s(d) be the second derivative of -d**4/12 - 4*d**3/3
{ "pile_set_name": "DM Mathematics" }
9*t**2/2 + 6*t + 8. Let p be x(9). Suppose p*c = 737 + 229. Is c a prime number? False Let a(l) = 8*l**2 + 15*l - 29. Let p = -136 + 160. Is a(p) prime? False Suppose -4*k - 34 = -6*k. Let c = k + -12. Suppose 2558 = c*p + 323. Is p a prime number? False Let j be ((-126)/15)/((-483)/(-240) + -2). Let p = j - -1655. Is p a prime number? True Let v(b) = b**3 - 16*b**2 - 3*b - 7. Let p be v(17). Let m = 218 + p. Is m a prime number? True Let a(o) = 64*o - 43. Let b be a(8). Suppose -r + 4*y + b = 0, -5*y - 2285 = -6*r + r. Is r a prime number? False Suppose -4*n = 21 - 97. Suppose n*q + 4179 - 16510 = 0. Is q a composite number? True Let c(q) = -94*q**3 + 3*q**2 + q - 11. Let z(l) = 95*l**3 - 2*l**2 - 2*l + 10. Let g be 4/(-6) - 120/(-18). Let v(n) = g*z(n) + 5*c(n). Is v(2) composite? True Let d = -547122 + 804105. Is d a prime number? False Let o(z) = 44*z + 56. Let w be o(-5). Let x = w - -655. Is x a composite number? False Is (22/(-2) - 33/(-11)) + 58051 a composite number? False Suppose 2*m = h + 10, 0*h + 5*h = 3*m - 22. Suppose -2*j - 3*d + 437 = 0, d = -0*j - m*j + 849. Is j composite? False Let p(y) = 16*y - 35. Let w be p(27). Let r(k) = -6*k**2 + 5*k + 1. Let s be r(-5). Let d = w + s. Is d a prime number? True Suppose 0 = 4*o - 5*l - 3630569, -2*o - 26*l = -35*l - 1815239. Is o a composite number? False Let g(k) = 32*k**3 + 32*k**2 - 43*k + 25. Is g(14) a prime number? True Let z(s) = 12*s**2 + 858*s + 19. Is z(40) prime? False Let z(j) = -j**2 + 12070. Let u be z(0). Suppose -12070 = -5*p - 2*h - 2*h, 5*p - u = 3*h. Suppose -3*w + 2406 = 2*w - 2*v, 5*w - p = -2*v. Is w a prime number? False Suppose 14*w - 15256 + 96680 = 0. Let q = w + 23903. Is q composite? True Suppose -2*z - 31 = -37. Suppose -4*l = -3*k - 11268, 5616 = l + l + z*k. Suppose -2*i + 8*i - l = 0. Is i composite? True Suppose -8*v + 3*v = -15. Suppose v*g - 8 = -0*b + b, b + 10 = 4*g. Suppose -3*s + 5*m - 2969 = -5*s, g*s + 2*m - 2960 = 0. Is s a composite number? True Suppose -23*d - 30 = -33*d. Suppose 12*x - 13305 = -d*x. Is x a composite number? False Let v = -18310 - -28395. Is v a prime number? False Let z be -5 - 5/((-5)/2). Is ((-11095)/(-20))/(z/(-12)) composite? True Suppose 34 = q + q + 5*v, -2*v = -5*q + 56. Suppose q = -3*t + 33. Suppose 6*n - t*n = -158. Is n a composite number? True Suppose 0 = 5*b + 3 - 78. Let r(f) = -4 + 33 + b*f + 0*f + 0*f. Is r(10) a prime number? True Let q(p) = -p**3 + 11*p**2 - 11*p + 18. Let d be q(10). Suppose -3*w + 20 = d. Suppose w*i - i - 381 = 0. Is i a composite number? False Let t be (11/11)/((-1)/17). Let y = t + 32. Is (1*398)/(-13 + y) a composite number? False Let s = -1055534 + 2339581. Is s composite? False Let k = 46218 + -151699. Let z = k - -177818. Is z a prime number? True Suppose 0 = 320*s - 318*s - 865426. Is s composite? False Let z(m) = m + 20. Let c(d) = d**2 - 6*d - 23. Let w be c(7). Let u be z(w). Suppose 6938 = u*g + 2*b, 0*g + 4*b = -g + 1745. Is g a composite number? False Suppose -69*f + 80*f - 407 = 0. Suppose -71*b + 656234 = -f*b. Is b composite? False Suppose -100176772 - 36066178 = -72*x + 6234178. Is x prime? True Let q(a) = -2 - a**3 + 2 - 11*a**2 - 7*a**2 + 19*a - 1. Let h be q(-19). Is (-33 + h)/(22/(-253)) a prime number? False Let z = -853 + 842. Is (-2 + 4)/(z + (-948783)/(-86251)) prime? True Is (4572/(-24))/((-6)/508) composite? True Let b(d) = -d**2 - 5*d + 11. Let g be b(-6). Suppose -s = 2, g*i - s = 2*i + 17009. Is i composite? False Let z(v) = 3*v**2 - 3*v + 5. Let k be z(5). Let d(w) = k*w + 151*w - 5 + 83*w - 30. Is d(6) composite? False Let q(f) = 58*f - 5. Let z be q(12). Suppose 0 = y, -y - 5417 - z = -4*j. Is j a prime number? False Let d(t) = 2*t**2 - 3*t - 6. Let o be d(3). Let f(j) = 20*j - 40*j**o - 45*j**3 + 84*j**3 - 29 + 11*j**2. Is f(12) prime? True Suppose -15597 = -7*w + 1980. Let b = -3071 - -1615. Let u = b + w. Is u a prime number? False Let w be (411292/(-37))/(0 + -1). Let b = 20207 - w. Is b a composite number? False Let f = 178011 - 126818. Is f prime? True Let z(l) = 5*l**3 + 17*l**2 + 51*l - 287. Is z(44) a prime number? False Suppose -715*b = -759*b + 32555996. Is b composite? False Let k(d) be the first derivative of 17 - 29/2*d**2 + 4*d. Is k(-6) prime? False Let n = -2277307 - -3366210. Is n a composite number? False Let i = 56 + -57. Let x be i/(-1) + (-4 - 21/(-3)). Is 1997 + -8*x/8 prime? True Suppose -5446 = -9*u + 1493. Suppose -994 = 2*x - 0*x. Let d = u + x. Is d prime? False Let w(y) = -4356*y**2 - 7*y + 49. Let s be w(4). Let x = -11780 - s. Is x composite? True Let l = 300 + -295. Suppose 5*f = c + 11857, 768 = -4*f - l*c + 10242. Is f a prime number? True Suppose -5*u + 5*a = -1851870, 4*a = -u + 3*a + 370384. Is u a prime number? False Suppose 0 = 2*y - 0*y + 3*q + 9, 15 = -5*q. Let r be 1 - (-12)/4 - (y - -6). Is (-4)/(-6)*(4 + (-541)/r) prime? False Suppose 148*a - 35433054 - 181708405 = -51244263. Is a a composite number? True Let b(l) = 202232*l**2 - 138*l + 281. Is b(2) a prime number? False Suppose -5*a + 1449690 + 1361265 = 4*l, 4*a - l = 2248743. Is a a composite number? True Let l(m) = -20*m + 88. Let o be l(10). Let d = o + 291. Is d composite? False Let o be ((-144)/63 - (-2)/7) + 4. Suppose -3*y - 6*j = -3*j - 3123, j - 2077 = -o*y. Suppose -2*s + 493 = 3*v - 6*v, -y = -4*s - 4*v. Is s prime? False Suppose -10*m + 291 + 499 = 0. Let t = m + -20. Let z = 1176 - t. Is z composite? False Let i = -182028 - -272005. Is i a prime number? True Suppose -5*z + 179039 = -t, 0 = -3*t - 16 + 4. Is z prime? False Let y be 5/(-10)*8/(-2). Let m be y/(-4) + (-5052)/(-8). Suppose 2*u = 3*u - m. Is u composite? False Let g be (-5)/4 + (-4487)/(-28). Suppose g = 6*z - 39. Suppose 32*k = z*k - 127. Is k prime? True Suppose 2*s - 3*m = -34625, 4*s + 5*m - 22193 = -91454. Let u = -8625 - s. Is u prime? True Suppose 7*s + 10*s + 102 = 0. Let z(x) = 9*x**2 - 5*x - 23. Is z(s) composite? False Let j(a) = 2*a**2 - 12*a - 27. Let x be j(8). Is (x - (-18)/8)*23*4 composite? True Let k = -114759 + 162736. Is k prime? True Let x = -4602 - -2685. Let f = x - -4819. Is f a prime number? False Suppose 38 + 4 = 7*t. Suppose t*r - 2*r = 10652. Suppose -f - r = -4*a, -2*a + 2*f - 5*f + 1349 = 0. Is a composite? True Suppose -158732 = -0*i - 28*i. Suppose n = -3*c + i, 0 = -17*c + 12*c - 4*n + 9453. Is c composite? False Let u be (-55)/(-44) - (-4499)/4. Suppose b - u + 39 = 0. Is b composite? False Suppose -3 = -3*t + 3, -5*p + 2*t + 16 = 0. Let o(b) = -b - 3. Let q be o(-7). Suppose -716 = -p*v - q. Is v a prime number? False Let r(k) = 57*k**3 + 3*k**2 - 16*k + 6. Let l be r(7). Let u = l - 8358. Let h = -5797 + u. Is h composite? False Suppose 2*o = 4*h + 70, -4*o + 2*h = -2*o - 60. Let c(p) = p**3 + 3*p**2 - 63*p + 44. Is c(o) composite? True Let l(v) = v**2 + 4*v + 5. Let p be l(-2). Let b be -4 - 597/((-3)/p). Suppose r - 934 = -b. Is r a composite number? False Let x = 146 + -61. Suppose s - 19 - 7 = 0. Let d = x + s. Is d prime? False Let k = 147 - 144. Suppose 2*s + 2921 = k*l, -3*s = -5*l + 1514 + 3356. Is l a composite number? False Is (0 - 2554/(-3))*9/12*134 a composite number? True Let b(x) = 109*x**2 + 3*x - 18. Let s(j) = -27*j**2 - j + 5. Let c(a) = -2*b(a) - 9*s(a). Is c(-4) a composite number? False Let q = 21 + -21. Let b be 3 - q - (48548/4 + 2). Is b/(-10) + 3/(-5) prime? True Let c = -23842 - -76085. Is c a prime number? False Suppose 21*y = 31*y - 21460. Suppose 1429 = 2*a + x, 0*a + x = -3*a + y. Is a a composite number? True Let o = 256 - 128. Suppose -o = -2*h + 78. Let m = -65 + h. Is m a composite number? True Let t = 46 + -31. Suppose 4144 = 11*b - t*b. Is (-2)/((8/b)/1) composite? True Suppose -6*y + 5 = 65. Let w(g) = -179*g - 68. Let b be w(y). Let r = b - 779. Is r a composite number? True Let u(l) = -l**3 + 6*l**2 - 2*l + 4. Let i be u(4). Let f = -28 + i. Suppose -q + f*q = -753. Is q a prime number? False Suppose -133*k - 75368858 = -855*k. Is k a composite number? True Let l(b) = -28*b + 10*b + 29 + 6*b + 10*b. Let o be l(12). Suppose -2*d - 879 = -3*t, -3*t - o*d + 900 = -0*t. Is t a prime number? False Let m(w) = 5*w**2 - 14. Let z = 5 - 11. Let q be m(z). Suppose -c = c - q. Is c a prime number? True Let t = -57
{ "pile_set_name": "DM Mathematics" }
smallest value? (a) 0.3 (b) n (c) v a Let q = 1.1 - 1.2. Let r be ((-2)/(-3))/((-35)/(-15)). What is the second biggest value in q, r, -2? q Suppose 13*d + 36 = -68. What is the second smallest value in d, 3/4, 5, 2? 3/4 Let n = -35.08 + 37. Let y = n + 0.08. What is the third smallest value in 4, y, 11? 11 Let x = -517/78 + 84/13. Which is the third biggest value? (a) -2 (b) x (c) -5 (d) 0 a Let i = -7/37 + -2/185. Which is the biggest value? (a) -1 (b) i (c) -0.9 b Let x = 4.8993 + 0.1007. Which is the smallest value? (a) -0.07 (b) x (c) -4 (d) 1 c Let i = -6 + 6.4. Let y = 220 + -219.9. What is the second smallest value in 4, y, i? i Let x = -3.6 - -4. Let v be (-1776)/(-7)*11/(-33). Let i = v + 84. Which is the biggest value? (a) 1/4 (b) i (c) x c Let p = -2 + 1. Let q be (-27)/(-54)*(-32)/20. Suppose -3*y = -y - 4. What is the third smallest value in y, p, q? y Let p = 19/14 + -1/42. Let i = -5 - -3. Let h be ((-2)/(-18))/(-14*(-14)/441). Which is the third biggest value? (a) h (b) p (c) i c Let n = 199 - 199. What is the fourth smallest value in -0.5, -3/5, 1/11, n? 1/11 Let h = -3.7 + 0.7. Let g = -5.34 + 0.34. Let f(d) = 4*d - 17. Let j be f(5). Which is the smallest value? (a) g (b) h (c) j a Suppose 5*d = -3*a + 4, 6 = 4*d - 2. Let n be ((-54)/(-33))/2 - (a + 3). What is the third biggest value in -4, 1, n, 0.5? n Suppose -i = 3*i. Suppose -2*d = 3*g, i*d + 10 = 2*g - 2*d. Let c be (g/(-16))/(21/28). What is the third biggest value in -2/19, -0.3, c? -0.3 Let o = 1.762 + 0.238. Let f = -2099/1263 + -2/421. Which is the third smallest value? (a) 2/7 (b) -5 (c) o (d) f a Let p = 2.181 - 0.181. Which is the fourth smallest value? (a) -9 (b) -2/5 (c) p (d) -0.3 c Let y = 34 + -42. Let h = y + 10. Let q = -0.8 - -1.1. What is the second smallest value in -0.5, q, h? q Let w = -3.86 - -3.96. Which is the biggest value? (a) w (b) 0.06 (c) -15/8 a Let q = -352 - -351. What is the second smallest value in -3, q, -0.4, 6? q Suppose -5*z = -4*k + 56 - 22, 2*z - 2*k + 14 = 0. Let x(u) = -u**2 - 12*u + 33. Let a be x(-14). Let o = z + a. What is the biggest value in -3/5, o, -0.2? -0.2 Let s = -627 + 573. Which is the smallest value? (a) s (b) 4/5 (c) 3/7 a Let p = 650 + -649. Which is the second smallest value? (a) 3 (b) 20 (c) p a Suppose -20 = 8*x - 52. Let a = -2 - -1.9. What is the biggest value in -4, a, x, 6? 6 Suppose -j = -3*v + 11, 14 = 2*v + j - 3*j. Suppose -2*p - v = -0. Let h be (-36)/60*10/8. Which is the second biggest value? (a) -19 (b) h (c) p c Let h = 2597 - 10385/4. Which is the second biggest value? (a) h (b) -14 (c) 0.4 c Let v = -0.224 + 5.224. What is the third biggest value in -2, 28, v? -2 Let m = 998 + -3118/3. Suppose 2*j + 4*c + 38 = -36, 5*c - 10 = 0. Let t = j - m. What is the third biggest value in 0, 0.5, t? 0 Let q = -13 - -29. Let w = 59 + -40. Let o = w - 19.3. Which is the smallest value? (a) o (b) -1/8 (c) q a Let v be ((-3)/8*-4)/((-3)/(-4)). Let j = 7.4 + -7. What is the second biggest value in v, j, -1? j Let m be (-555)/(-55) - 2 - 2/11. Let q = m + -8. What is the third smallest value in 1/4, q, 3? 3 Let l be (-14)/9*18/63. Let c = 29.58 - -0.42. What is the biggest value in c, l, 1? c Let h = 30 - 11. Let k = -14 + h. Which is the biggest value? (a) k (b) -2 (c) 0.5 a Suppose q - 32 = -5*i + 83, 4*q = 4*i + 460. Let x be (q/(-10))/((-2)/(-4)). Let r = x - -25. Which is the biggest value? (a) 2/11 (b) -1 (c) r c Let f = 136 - 135.9. Let y be (1 + 1)/(-2) + 0. Which is the smallest value? (a) y (b) -2/11 (c) f a Let o = -3.869 + -0.131. What is the fourth smallest value in -3, 0.59, 3, o? 3 Let n = -101 - -96. What is the smallest value in 1, 8, n, 5? n Let j = 56.4 - 59.4. Which is the second biggest value? (a) j (b) -0.4 (c) -1 (d) -0.2 b Let n(j) = -7*j - 7. Let f be n(2). Let r = 16 + f. What is the smallest value in r, 1/15, 2/5? r Let n = 988 - 979. Which is the third biggest value? (a) n (b) 0.1 (c) -2/13 c Let w = 95.4 + -151.3. Let n = w + 56. What is the smallest value in -1, -3/8, -5, n? -5 Let k = 254 + -253.9. Let h = 0 - -1. Let o = 2 - h. What is the second biggest value in k, 4, o? o Suppose 6*t = 18 + 6. Let i = 5.82 - -0.18. Which is the third smallest value? (a) t (b) 2 (c) i c Let w = -63.3 + 59. Let u = -4 - w. Let q = u + -0.6. Which is the biggest value? (a) -8 (b) 0.5 (c) q b Let b be (-10)/25 - (-46)/90. What is the second biggest value in -2/5, b, 0, -1/6? 0 Let u = -0.102 - -11.302. Let r = -11 + u. Which is the second biggest value? (a) r (b) -1 (c) 8 a Let t = -3.65 + 4.05. Which is the third biggest value? (a) -0.2 (b) t (c) -5/2 (d) 8 a Let i = -195 - -195.5. Let o = 5 - 2. What is the biggest value in -5, i, o? o Let q = -2.0314 - -0.0314. Which is the third biggest value? (a) q (b) 3 (c) -466/7 c Let z = 1.07 - 0.968. Let o = 0.198 + z. What is the second smallest value in 0.8, o, -1/3, -0.2? -0.2 Let s = -10.07 - 0.23. Let l = s + 10. Which is the third smallest value? (a) 3 (b) -1 (c) l a Let o = -6.04 + -1.66. Let r = o + 8. What is the smallest value in 2, r, 13? r Let t = -1.6 - -26.6. Let z = t - 24.9. Which is the smallest value? (a) 2/7 (b) 0 (c) z b Let k = 667 + -6002/9. What is the second biggest value in 0.048, 1/3, 4/3, k? 1/3 Let k = -0.29 - -0.259. Let s = -3.031 - k. What is the second biggest value in 0.1, -0.5, s? -0.5 Let n = -30 - -30.1. Let h = -6.7 + 4.8. Let v = n - h. What is the third biggest value in v, -1, 3? -1 Let i = 15622.14 + -16071. Let p = i - -454. Let x = p - 0.14. Which is the smallest value? (a) 1 (b) 0.2 (c) x b Suppose -3*q + 20 = r, -q = 3*r - 7*r + 15. What is the biggest value in 2, -6, 4, q? q Let o = 5.6 - 5.4. Which is the biggest value? (a) o (b) 0.156 (c) 0 a Let v = -1132 - -1139. Let d = 0 + -0.5. What is the fourth smallest value in -1/4, d, 5, v? v Let c = -0.344 + -0.156. What is the third smallest value in -2/7, -6, c? -2/7 Let x = 0.3 - 0.4. Let v = 113 - 340/3. Which is the fourth smallest value? (a) 0.1 (b) v (c) x (d) -4 a Let j = -102 - -106. Which is the third smallest value? (a) j (b) 5 (c) -1 b Let z = -116 + 231. Let i = z + -27. Let r be ((-1)/(-2))/(i/16). Which is the third biggest value? (a) 0 (b) r (c) -1/2 c Let v = 4 + 18. Let w = v + -24. What is the biggest value in -8, w, 4/5? 4/5 Let y = 3.93 - -0.07. Let z be (-4)/18 + 31/((-1116)/64). What is the second smallest value in 2, y, z? 2 Let z = -8.05 + 7.65. Which is the fourth biggest value? (a) z (b) 1 (c) 0.08 (d) 5 a Let u = -0.9 - -0.7. Let i = -1669/12 - -139. Let w = i + 3/4. Which is the third biggest value? (a) 5 (b) u (c) w b Let a = -190 - -196.8. What is the third biggest value in a, 1/11, 0.3? 1/11 Let w = -967.3 + 967. Let q = -0.2 - -0.5. What is the third smallest value in w, 2, q? 2 Let n = -11259/8 - -1407. Which is the smallest value? (a) n (b) 6 (c) -0.38 c Let a(b) = 6*b**2 - b - 2. Let r(t) = -t**2 - t - 1. Let z(g) = -a(g) - r(g). Let o be z(-1). What is the third smallest value in o, -0.4, 2, -2/55? -2/55 Let v(o) = -o**2 - 11*o. Let c be v(-11). Suppose -2*p + 0*p + 8 = c. What is the third smallest value in p, -1/7, 2, 4/3? 2 Suppose 2*j - 18 + 8 = 0. Which is the third biggest value? (a) j (b) -2 (c) -10/7 b Let f = -30 - -27.8. Let v = -2.7 - f. Which is the smallest value? (a) v (b) 5 (c) 4 a Let w = 8 - 2. Let b be 2/3 - (-2)/w. Suppose v - b = 2. What is the third biggest value in 2, 0.2, v? 0.2 Let z = 462 - 787. Let m be 0 - -5*10/z. What is the second smallest value in 0.4, m, 6? 0.4 Let l = -0.205 - -0.115. What is the second biggest value in l, 0.1, 18, -4/7? 0.1 Let g = 0.03 - 4.03. What is the second smallest value in -0.1, g, 1? -0.1 Let c = 7.22 - 7.2. What is the fourth smallest value in c, 0, 0.3, -3/5? 0.3 Let q = 0.123 + -0.223. Let t = 14 + -13.1. Let r = t + -0.5. What is the third biggest value in 5, r, q? q Let z be (-6)/((-4)/(32/(-3))). Let n = 14 + z. What is the second smallest value in -1, n, 0.12? -1 Let h = 217 + -217. Which is the second smallest value? (a) 2/13 (b) 3/52 (c) 3 (d) h b Let y = -0.033 - -0.033. Let v(x) = x**2 + 5*x + 4. Let w be v(-3). Let i = -22 - -21.6.
{ "pile_set_name": "DM Mathematics" }
on denominator of -163/91440 and -25/82296. 822960 What is the least common multiple of 18390 and 95015? 570090 Find the common denominator of -13/48222 and -157/144666. 144666 Calculate the least common multiple of 35 and 39885. 279195 Calculate the common denominator of -73/10 and 89/2597948. 12989740 What is the common denominator of -41/55449 and -73/1072014? 3216042 Calculate the smallest common multiple of 4424 and 1264. 8848 Calculate the lowest common multiple of 7050 and 47940. 239700 What is the common denominator of 101/14598 and 79/48? 116784 Calculate the least common multiple of 24 and 30591. 244728 What is the least common multiple of 47824 and 854? 47824 Calculate the smallest common multiple of 7988 and 36. 71892 What is the least common multiple of 2471752 and 8? 2471752 Calculate the least common multiple of 545 and 28340. 28340 Calculate the common denominator of -89/287518 and -109/82148. 575036 Calculate the common denominator of -47/1890 and -10/243. 17010 What is the least common multiple of 12234 and 24? 48936 Calculate the smallest common multiple of 33 and 68202. 750222 Find the common denominator of -31/23506 and -63/368. 188048 What is the least common multiple of 160265 and 5? 160265 What is the common denominator of -169/90 and 103/18636? 279540 Calculate the common denominator of 12/1715615 and 43/467895. 5146845 What is the common denominator of 101/147152 and 99/2108? 4561712 What is the least common multiple of 21 and 76087? 1597827 What is the lowest common multiple of 98040 and 24510? 98040 What is the lowest common multiple of 133320 and 26664? 133320 Calculate the smallest common multiple of 1322508 and 50095. 6612540 Calculate the smallest common multiple of 11361 and 194760. 1363320 Calculate the common denominator of 8/1377 and -81/1564. 126684 Calculate the common denominator of 50/49 and -54/17059. 119413 What is the common denominator of 3/237112 and 111/14? 1659784 Calculate the common denominator of -53/24 and 51/28048. 84144 What is the least common multiple of 15100 and 150? 45300 Calculate the common denominator of 131/60588 and -55/68. 60588 Calculate the common denominator of -57/1856 and -109/31552. 31552 What is the common denominator of -1/15570 and 1/28545? 171270 What is the least common multiple of 1026 and 324? 6156 Calculate the least common multiple of 20 and 53880. 53880 What is the least common multiple of 26145 and 7? 26145 Find the common denominator of 47/100 and -149/24840. 124200 Find the common denominator of -47/2834 and -99/28. 39676 Calculate the common denominator of 97/652 and 7/237. 154524 Find the common denominator of -2/295707 and -1/6. 591414 Calculate the common denominator of -9/12580 and 2/1445. 213860 Calculate the smallest common multiple of 105 and 48885. 342195 Find the common denominator of 79/13740 and -121/13740. 13740 What is the common denominator of 7/3809450 and -31/35? 26666150 What is the common denominator of 66/85 and -46/818329? 4091645 Calculate the lowest common multiple of 10 and 16670. 16670 Find the common denominator of -68/3435 and 21/95035. 285105 Calculate the smallest common multiple of 1107 and 27183. 244647 What is the least common multiple of 270 and 81108? 405540 Calculate the least common multiple of 99060 and 33020. 99060 Calculate the lowest common multiple of 1408 and 11968. 23936 Calculate the common denominator of -57/2590 and -79/20720. 20720 Calculate the common denominator of -1/58628 and -8/161227. 644908 Calculate the common denominator of -157/390 and -93/2132. 31980 What is the common denominator of 23/2321376 and 123/80? 11606880 Calculate the lowest common multiple of 946 and 172. 1892 Calculate the least common multiple of 12771 and 9288. 102168 Calculate the lowest common multiple of 46030 and 36824. 184120 What is the common denominator of 89/27972 and -59/84? 27972 What is the smallest common multiple of 1509963 and 49779? 4529889 Find the common denominator of 101/52114 and -52/59. 3074726 What is the smallest common multiple of 471788 and 948? 1415364 What is the smallest common multiple of 228 and 28196? 84588 What is the least common multiple of 10164 and 484? 10164 Calculate the smallest common multiple of 1012 and 1357. 59708 What is the common denominator of 35/41478 and -31/20? 414780 Calculate the common denominator of 111/476 and 53/16632. 282744 What is the common denominator of -16 and -3/320? 320 What is the common denominator of 87/14 and -37/486? 3402 Calculate the smallest common multiple of 180 and 102384. 511920 Find the common denominator of 49/648 and 19/61848. 556632 Find the common denominator of 169/3090 and -31/323214. 1616070 What is the common denominator of -38/4425 and 173/5670? 1672650 Calculate the common denominator of -97/18 and 67/3710. 33390 What is the common denominator of 53/459 and -25/59211? 59211 What is the smallest common multiple of 1 and 12342? 12342 Calculate the least common multiple of 91527 and 5. 457635 Calculate the least common multiple of 9198 and 9198. 9198 Find the common denominator of -47/10659 and 65/627. 10659 Calculate the lowest common multiple of 60345 and 81. 60345 What is the least common multiple of 460 and 89240? 89240 Calculate the common denominator of -73/16 and -47/8429. 134864 What is the smallest common multiple of 1056 and 5632? 16896 Find the common denominator of 155/50274 and -95/82. 2061234 Calculate the lowest common multiple of 2412 and 8308. 74772 Find the common denominator of 65/4046 and -47/3332. 56644 Calculate the lowest common multiple of 23475 and 1575. 492975 Find the common denominator of -41/82376 and 43/11768. 82376 Calculate the smallest common multiple of 822 and 35483. 212898 Calculate the common denominator of 4/1819 and -167/6420. 109140 What is the lowest common multiple of 32292 and 780? 161460 Calculate the common denominator of 21/64 and 61/2752. 2752 What is the least common multiple of 79002 and 28728? 316008 What is the common denominator of -23/485 and -71/63050? 63050 Calculate the lowest common multiple of 51195 and 3. 51195 What is the least common multiple of 2 and 2853? 5706 Find the common denominator of 121/30 and 157/107910. 107910 Find the common denominator of 127/504 and -95/434808. 3043656 Calculate the smallest common multiple of 31456 and 88. 346016 Calculate the lowest common multiple of 104 and 8918. 35672 What is the smallest common multiple of 553 and 763? 60277 Calculate the common denominator of -167/638790 and 103/1194. 638790 What is the least common multiple of 25025 and 18200? 200200 Find the common denominator of -131/17270 and -21/359216. 1796080 What is the common denominator of -40/3 and 67/12986? 38958 Calculate the smallest common multiple of 7 and 4073. 28511 Find the common denominator of -91/183020 and -77/12. 549060 What is the common denominator of -3/40592 and -81/116702? 933616 What is the smallest common multiple of 32 and 333136? 666272 Calculate the least common multiple of 1470 and 1236. 302820 Calculate the smallest common multiple of 18 and 161217. 322434 Calculate the least common multiple of 66 and 5124. 56364 What is the common denominator of 99/47816 and 87/155402? 621608 Calculate the common denominator of -13/10 and 53/226352. 1131760 What is the smallest common multiple of 53075 and 400475? 4405225 Find the common denominator of 20/40863 and 8/9. 122589 Find the common denominator of -1/90 and 19/1735320. 5205960 Calculate the least common multiple of 388752 and 222144. 1555008 What is the least common multiple of 11460 and 168080? 504240 Calculate the smallest common multiple of 188344 and 16. 376688 What is the common denominator of -51/596332 and 97/54212? 596332 What is the smallest common multiple of 3074 and 1131? 119886 Calculate the common denominator of 13/158876 and 13/1429884. 1429884 Calculate the least common multiple of 1736 and 528. 114576 Calculate the least common multiple of 16 and 18512. 18512 What is the least common multiple of 37629 and 801? 3348981 What is the common denominator of 8/9 and 64/17439? 52317 Find the common denominator of 75/46672 and -49/23336. 46672 What is the lowest common multiple of 3842 and 9? 34578 What is the small
{ "pile_set_name": "DM Mathematics" }
er of 1/9, to the nearest integer? 3 What is the third root of 159215 to the nearest integer? 54 What is the eighth root of 159396 to the nearest integer? 4 What is 307383 to the power of 1/6, to the nearest integer? 8 What is the square root of 913274 to the nearest integer? 956 What is the fifth root of 5923781 to the nearest integer? 23 What is 122586 to the power of 1/3, to the nearest integer? 50 What is 12278778 to the power of 1/2, to the nearest integer? 3504 What is 844597 to the power of 1/9, to the nearest integer? 5 What is 1966778 to the power of 1/7, to the nearest integer? 8 What is the square root of 584042 to the nearest integer? 764 What is 328058 to the power of 1/2, to the nearest integer? 573 What is the square root of 2169953 to the nearest integer? 1473 What is 409968 to the power of 1/9, to the nearest integer? 4 What is 164367 to the power of 1/2, to the nearest integer? 405 What is the square root of 9788026 to the nearest integer? 3129 What is 151168 to the power of 1/2, to the nearest integer? 389 What is 2922978 to the power of 1/5, to the nearest integer? 20 What is the square root of 5932824 to the nearest integer? 2436 What is the cube root of 16171859 to the nearest integer? 253 What is 22568655 to the power of 1/7, to the nearest integer? 11 What is the fifth root of 4411212 to the nearest integer? 21 What is the square root of 4695136 to the nearest integer? 2167 What is the square root of 136672 to the nearest integer? 370 What is 580822 to the power of 1/3, to the nearest integer? 83 What is the cube root of 1929889 to the nearest integer? 125 What is 19032486 to the power of 1/3, to the nearest integer? 267 What is the third root of 491243 to the nearest integer? 79 What is 1404051 to the power of 1/9, to the nearest integer? 5 What is 752189 to the power of 1/2, to the nearest integer? 867 What is 26743076 to the power of 1/6, to the nearest integer? 17 What is the square root of 451426 to the nearest integer? 672 What is 246397 to the power of 1/2, to the nearest integer? 496 What is 3922097 to the power of 1/10, to the nearest integer? 5 What is the tenth root of 903460 to the nearest integer? 4 What is 1047977 to the power of 1/9, to the nearest integer? 5 What is 14410537 to the power of 1/2, to the nearest integer? 3796 What is the third root of 148146 to the nearest integer? 53 What is 1484617 to the power of 1/8, to the nearest integer? 6 What is 22901047 to the power of 1/2, to the nearest integer? 4786 What is the ninth root of 5230515 to the nearest integer? 6 What is 75165 to the power of 1/8, to the nearest integer? 4 What is the cube root of 2528060 to the nearest integer? 136 What is 11801557 to the power of 1/10, to the nearest integer? 5 What is the square root of 130418 to the nearest integer? 361 What is 4237350 to the power of 1/2, to the nearest integer? 2058 What is the cube root of 148276 to the nearest integer? 53 What is the square root of 8211242 to the nearest integer? 2866 What is the third root of 96712 to the nearest integer? 46 What is the square root of 16781203 to the nearest integer? 4096 What is 233191 to the power of 1/3, to the nearest integer? 62 What is 432284 to the power of 1/9, to the nearest integer? 4 What is 221807 to the power of 1/3, to the nearest integer? 61 What is 2210569 to the power of 1/8, to the nearest integer? 6 What is 24738162 to the power of 1/7, to the nearest integer? 11 What is 4521458 to the power of 1/3, to the nearest integer? 165 What is 3662105 to the power of 1/3, to the nearest integer? 154 What is 1349433 to the power of 1/8, to the nearest integer? 6 What is 41318 to the power of 1/2, to the nearest integer? 203 What is 471309 to the power of 1/3, to the nearest integer? 78 What is the ninth root of 202871 to the nearest integer? 4 What is 90391 to the power of 1/2, to the nearest integer? 301 What is the third root of 173512 to the nearest integer? 56 What is the seventh root of 2726640 to the nearest integer? 8 What is 743933 to the power of 1/2, to the nearest integer? 863 What is the fourth root of 2697068 to the nearest integer? 41 What is the third root of 199861 to the nearest integer? 58 What is the cube root of 7193755 to the nearest integer? 193 What is the ninth root of 3971613 to the nearest integer? 5 What is the square root of 3018440 to the nearest integer? 1737 What is the cube root of 30226106 to the nearest integer? 312 What is the third root of 546051 to the nearest integer? 82 What is the cube root of 721741 to the nearest integer? 90 What is the square root of 2559641 to the nearest integer? 1600 What is 12425967 to the power of 1/2, to the nearest integer? 3525 What is the third root of 3522868 to the nearest integer? 152 What is 1165785 to the power of 1/6, to the nearest integer? 10 What is 1002133 to the power of 1/7, to the nearest integer? 7 What is 1189061 to the power of 1/2, to the nearest integer? 1090 What is the sixth root of 300826 to the nearest integer? 8 What is the square root of 26501618 to the nearest integer? 5148 What is 5269541 to the power of 1/3, to the nearest integer? 174 What is the square root of 1075644 to the nearest integer? 1037 What is 1634678 to the power of 1/2, to the nearest integer? 1279 What is 10552399 to the power of 1/2, to the nearest integer? 3248 What is 61328 to the power of 1/2, to the nearest integer? 248 What is the square root of 17426568 to the nearest integer? 4175 What is the square root of 1306909 to the nearest integer? 1143 What is 1679748 to the power of 1/8, to the nearest integer? 6 What is the eighth root of 7731402 to the nearest integer? 7 What is the square root of 4559224 to the nearest integer? 2135 What is 18434 to the power of 1/2, to the nearest integer? 136 What is the fourth root of 5700429 to the nearest integer? 49 What is 181450 to the power of 1/2, to the nearest integer? 426 What is 983174 to the power of 1/9, to the nearest integer? 5 What is the tenth root of 441501 to the nearest integer? 4 What is 1449080 to the power of 1/3, to the nearest integer? 113 What is 1401985 to the power of 1/10, to the nearest integer? 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24 What is the square root of 153010 to the nearest integer? 391 What is 241549 to the power of 1/3, to the nearest integer? 62 What is the tenth root of 2234218 to the nearest integer? 4 What is 30991231 to the power of 1/10, to the nearest integer? 6 What is the third root of 1799474 to the nearest integer? 122 What is 369642 to the power of 1/5, to the nearest integer? 13 What is the fifth root of 1126134 to the nearest integer? 16 What is 1329675 to the power of 1/3, to the nearest integer? 110 What is the square root of 151022 to the nearest integer? 389 What is the third root of 1284947 to the nearest integer? 109 What is the fourth root of 5436470 to the nearest integer? 48 What is 7273287 to the power of 1/2, to the nearest integer? 2697 What is 2342525 to the power of 1/6, to the nearest integer? 12 What is the square root of 1305321 to the nearest integer? 1143 What is 24683112 to the power of 1/8, to the nearest integer? 8 What is 2193111 to the power of 1/8, to the nearest integer? 6 What is the third root of 19563296 to the
{ "pile_set_name": "DM Mathematics" }
+ 2. Give m*v(d) + r*b(d). -d**2 - 2*d + 2 Let i(v) = 39*v**2 + 2*v + 1. Let l(h) = 78*h**2 + 3*h + 2. Calculate 5*i(c) - 3*l(c). -39*c**2 + c - 1 Let z = -6 + 15. Let o(j) = -5*j - 2. Let y(r) = -1 + 0*r + 2 + 2*r + 0*r. Let n(q) = -q**3 - 2*q**2 - 3*q - 2. Let u be n(-2). Calculate u*o(w) + z*y(w). -2*w + 1 Let f(b) = 2*b**3 - 3*b**2 + 3*b. Let o(z) = -3*z + 15. Let w be o(7). Let l(a) = -8*a**3 + 13*a**2 - 13*a. What is w*l(t) - 26*f(t)? -4*t**3 Let n(g) be the third derivative of 0*g - 1/6*g**4 - 5/6*g**3 - 3*g**2 + 0. Let i(s) = -s - 1. What is -6*i(k) + n(k)? 2*k + 1 Let w(m) = 5*m - 1. Let d(z) = -6*z + 1. Let v(f) = -f + 4. Let k be v(4). Let b be (2 - (k + 3))*5. What is b*w(g) - 4*d(g)? -g + 1 Let r(l) = -l**3 + l + 1. Let i(t) = 5*t**3 - 7*t - 8. Give i(n) + 6*r(n). -n**3 - n - 2 Let s(p) = -9*p**2 + 11*p + 4. Let f(u) = -5*u**2 + 6*u + 2. What is 11*f(i) - 6*s(i)? -i**2 - 2 Let u(i) = 3*i**3 + 7. Let p(x) = 54*x**2 - 15*x - 39*x**2 - x**3 + 5 + 4. Let r be p(14). Let z(a) = -4*a**3 - 10. Calculate r*z(w) - 7*u(w). -w**3 + 1 Let a(v) = 2*v - 5. Let p(x) = 1. Let m(w) = -3*a(w) - 21*p(w). Let b(g) = g**3 - 13*g - 13. Calculate 6*b(q) - 13*m(q). 6*q**3 Let p(z) = 4*z - 6. Let l(u) = 4*u + 1 + 6*u - 11*u. Let j(n) = 5*l(n) + p(n). Let i(f) = -f - 2. What is -2*i(x) + 3*j(x)? -x + 1 Let w(a) = -3*a**2 - 3. Let h(v) = -4*v**2 - 4*v**2 + 3*v**2 + 2*v**2 - 4. What is 3*h(b) - 4*w(b)? 3*b**2 Let s(h) be the first derivative of h**4/24 - 2*h**2 + 2. Let u(d) be the second derivative of s(d). Let p(x) = -1 + 1 - 4*x. Calculate 3*p(a) + 14*u(a). 2*a Let v(o) = o**2 + 3*o + 4. Let f(q) = 4*q**2 + 13*q + 17. Give 2*f(z) - 9*v(z). -z**2 - z - 2 Let n(q) = 4*q + 1. Let v(t) = -6*t - 1. Give -7*n(y) - 5*v(y). 2*y - 2 Let w(j) = -3 + 5 - 6*j - 1. Let n(c) = c. Suppose -i + 5 - 10 = 0. Determine i*n(d) - w(d). d - 1 Let k(m) = -14*m - 4. Let o(g) = -29*g - 7. Calculate -5*k(s) + 3*o(s). -17*s - 1 Let b(z) = 0 + 0 + 3*z + 6*z**2. Let o(a) = -7*a**2 - 4*a. Calculate -4*b(m) - 3*o(m). -3*m**2 Suppose 17 + 2 = 5*d + 3*g, -2*d - 5*g + 19 = 0. Let j(n) = 3*n**2 - 3*n + 1. Let m(a) = -a**2 + a. What is d*m(c) + j(c)? c**2 - c + 1 Let n be (-2)/(-11) - (-18)/22. Let q(w) = -w**2 - w. Let l be 5*-4*2/(-8). Let a(h) = h**3 + 7*h**2 + 5*h. Give l*q(k) + n*a(k). k**3 + 2*k**2 Let s(k) be the first derivative of 13*k**4/4 - 7*k**3/3 - 7*k**2/2 - 153. Let b(h) = 2*h**3 + 4*h**3 - 3*h**2 + 0*h**2 - 3*h. Calculate -7*b(q) + 3*s(q). -3*q**3 Let q(b) = -9*b**3 + 6*b**2 - 6*b. Let c(z) be the third derivative of z**6/15 - z**5/12 + 5*z**4/24 - z**2. Suppose -24 = t - 30. Calculate t*c(v) + 5*q(v). 3*v**3 Let o(z) = -8*z**3 + 0*z**3 - z**3 + 109 - 3*z**2 + 7*z - 114. Let w(c) = -5*c**3 - 2*c**2 + 4*c - 3. Determine 4*o(u) - 7*w(u). -u**3 + 2*u**2 + 1 Let f(b) = 3*b - 3. Suppose 2 = -2*w + 10. Let u(g) = 8*g + 1 - w*g - 5*g. Determine -f(m) - 2*u(m). -m + 1 Let a(g) = 4 + g**2 + 1758*g - 1755*g + 2*g**2 + 4*g**3. Let l(h) = -h**3 - h**2 - h - 1. Determine -2*a(c) - 6*l(c). -2*c**3 - 2 Let k be (2 + 2/(-4))/(3/4). Let l(w) = -2*w + 2. Let i(s) be the first derivative of s**2/2 - s + 2. Determine k*l(z) + 3*i(z). -z + 1 Let p(z) = -z. Let m(v) = -4*v**2 - v. Determine -m(y) + 3*p(y). 4*y**2 - 2*y Let v(a) = -a**2 - 2*a - 1. Let c(j) = -j**2 - 3*j - 1. Determine 2*c(b) - 3*v(b). b**2 + 1 Let x(o) = -6*o**3 + 5*o**2 - 5*o. Suppose -7*u = 5 - 40. Let l(s) = -3*s**3 + 3*s**2 - 3*s. Give u*l(m) - 3*x(m). 3*m**3 Let y be 6 + 0*(-2)/(-4). Let f(a) = 6*a - 3. Let l(j) be the second derivative of j**3/3 - j**2/2 + 7*j. Determine y*f(h) - 17*l(h). 2*h - 1 Let n(t) = -t**2 + 6*t. Let h = 2 - 2. Suppose 3*u - 7*u + 16 = h. Suppose u*l + 39 = 3*m, -3*m + 15 = -0*m. Let p(k) = 2*k**2 - 11*k. What is l*p(z) - 11*n(z)? -z**2 Let w(a) = -2*a**2 + 3*a + 4. Let s be (-5)/(-3) - (-1)/3. Let b(c) = 2*c + 5 + 0*c + s*c - 2*c**2. Suppose 3*m = 9 - 24. Calculate m*w(u) + 4*b(u). 2*u**2 + u Let x(g) = 2*g**2 + 5. Let k(c) = -c**2 - 2. Suppose -9*f = -8*f - 5. Give f*k(n) + 2*x(n). -n**2 Let w(c) = c + 7. Let n(x) = 14 - 8 + 7. Let l(z) = z - 26. Let v(y) = -2*l(y) - 5*n(y). Let h be (-51)/9 + (-2)/6. Determine h*v(o) - 11*w(o). o + 1 Let y(z) = -1. Let m(h) be the third derivative of -h**4/24 - 2*h**3/3 - 6*h**2. Give -m(c) + 5*y(c). c - 1 Let w(s) = -s. Let n(v) = 5*v + 8. Let g(z) = -n(z) + 6*w(z). Let f(u) be the second derivative of -2*u**3/3 - 3*u**2/2 + u. Give -8*f(o) + 3*g(o). -o Let k(h) = 3*h - 2. Let u(t) = 4*t - 3. Let g(y) = 7*k(y) - 5*u(y). Let w(v) be the first derivative of 2*v**2 + 7*v - 1. What is -6*g(j) + w(j)? -2*j + 1 Let l(c) = -3*c + 7. Let r(d) = d - 2. Let y(a) = -2*l(a) - 7*r(a). Let s(u) = -2*u - 1. Give s(j) - y(j). -j - 1 Let z(h) = -3*h - 3. Let d(q) = -q - 1. Calculate -15*d(a) + 4*z(a). 3*a + 3 Let t(x) = 13*x - 11. Let m(d) = 6*d - 5. Determine -9*m(r) + 4*t(r). -2*r + 1 Suppose 0 = -3*j + 15, -3 = 5*i - 4*j + 67. Let c(k) = -2*k**3 - 3*k**2 - 3*k. Let r(s) = 5*s**3 + 10*s**2 + 10*s. Give i*c(l) - 3*r(l). 5*l**3 Let k(p) = p + 2. Let b(f) be the first derivative of 3*f**2/2 + 7*f - 3. Suppose 0 = 2*r + 29 - 1. Calculate r*k(c) + 4*b(c). -2*c Suppose 2 = 3*z - 1. Let n(l) be the second derivative of -l**3/6 + l**2/2 - 9*l. Let b(w) = 3*w - 1. Give z*n(x) + b(x). 2*x Let a(v) = v - 7. Let l(d) = 2*d**2 - 50*d + 6. Let p be l(25). Let i(h) be the second derivative of h**3/2 - 10*h**2 - h. Give p*i(x) - 17*a(x). x - 1 Let t(a) = -5*a**3 + 23*a**2 + 4*a. Let n(h) = -2*h**3 + 11*h**2 + 2*h. What is 13*n(c) - 6*t(c)? 4*c**3 + 5*c**2 + 2*c Let m(n) = n**3 - n. Let z(k) = 10*k**3 - 5*k + 2. What is -5*m(i) + z(i)? 5*i**3 + 2 Let w(x) = -14*x**3 + 2*x**2 - 8*x - 11. Let t(b) = 9*b**3 - b**2 + 5*b + 7. Let o(a) = -2*a**2 - 37*a - 13. Let q be o(-18). Calculate q*w(v) + 8*t(v). 2*v**3 + 2*v**2 + 1 Let z(b) = 10*b**2 + 6*b - 6. Let k(g) = -21*g**2 - 13*g + 13. Determine 4*k(p) + 9*z(p). 6*p**2 + 2*p - 2 Let d be 1 + 4/((-8)/(-10)). Let m(i) = -d*i + 4 + 2*i - 1. Let t(s) be the third derivative of -s**4/24 + s**3/6 + 5*s**2. Calculate m(q) - 3*t(q). -q Let o(j) = -j**2 - 6*j. Let a(z) = -z**2 + 4*z + 10. Let k be a(5). Let h(n) = n**2 + 5*n. Let m(t) = t - 2. Let r be m(6). Give k*h(v) + r*o(v). v**2 + v Let f(c) = 3*c**3 + 4*c**2 - 3*c. Let d(x) = 9*x**3 - 444*x + 8*x**2 + 434*x + 5*x**2. Determine 2*d(u) - 7*f(u). -3*u**3 - 2*u**2 + u Let y(f) = 2*f**2 - 3*f - 3. Let q be y(3). Let h(a) = -q*a - 3 - 2*a - a + 3*a. Let p(j) = -j + 2 - 1 - 2. What is -h(l) + 5*p(l)? l - 2 Suppose 21 = 5*p - 14. Let m = 16 - 9. Let u = m - 3. Let h(d) = 5*d - 2. Let y(l) = -9*l + 3. Give p*h(r) + u*y(r). -r - 2 Let d(q) = 4*q**3 + 2*q**2 - 4*q + 3. Let n(f) = 17*f**3 + 9*f**2 - 17*f + 13. Suppose -3 + 5 = k. Suppose -6 = -c - k*c. Calculate c*n(z) - 9*d(z). -2*z**3 + 2*z - 1 Let w(p) = -2*p**3 - 7*p**2 - 6*p. Let r(g) = g**3 + g**2 + g. Give 6*r(l) + w(l). 4*l**3 - l**2 Let q(o) = 6*o + 7. Let f(j) = -j - 1. Let g(u) = -15*u**2 - 2*u - 1. Let b be g(-1). Calculate b*f(d) - 2*q(d). 2*d Let f(h) = -h**3 + 3*h - 3 - 5*h + 0*h**3. Let b(g) = g**2 + 5*g - 1. Let j be b(-4). Let c(a) = 3*a**3 + a**2 + 5*a + 7. Give j*f(v) - 2*c(v). -v**3 - 2*v**2 + 1 Let b(o) = -2*o + 0*o - 15*o**2 + 17 + 0*o. Let k(h) = -7*h**2 - h + 8. Suppose -2*i - 76 = 16. Let w = -33 - i. What is w*k(m) - 6*b(m)? -m**2 - m + 2 Let m(p) = -7*p**2 - 4*p - 6. Let o(d) = 19*d**2 + 13*d + 10. Let y(c) = 10*c**2 + 7*c + 5. Let h(f) = 4*o(f) - 7*y(f). Determine -6*h(t) - 5*m(t). -t**2 + 2*t Let t(u) = 10*u + 16. Let r = 7 - -9. Let n(x) = 2*x + 3. Give r*n(q) - 3*t(q). 2*q Let z(u) = 2*u + 1. Let f(r) = r**3 - 5*r**2 - 5*r - 6. Let v be f(6). Suppose -2*g = -v - 22. Let j(o) = 10*o + 6. Calculate g*z(m) - 2*j(m). 2*m - 1 Let b = 7 + -4. Let i = b + -1. Let t(w) = -6 - 2*w**2 + 1 - 2*w**i + 2*w. Let x(o) = 7*o**2 - 4*o + 9. What is -11*t(n) - 6*x(n)? 2*n**2 + 2*n + 1 Let t(b) = b + 6. Let w(q) = q - 1. Let j(m) = t(m) + 5*w(m). Let s(p) = p + 1. Give j(n) - 3*s(n). 3*n - 2 Let a(m) = 4*m - 7. Let h(c) = 8*c - 15. Calculate -7*a(p) + 3*h(p). -4*p + 4 Let g(w) = -55*w**3 - 44*w**2 + 44*w - 44. Let h(d) = 6*d**3 + 5*d**2 - 5*d + 5. Calculate -5*g(l) - 44*h(l). 11*l**3 Let w(t) = 6*t**2 + 5. Let f(d) = 77*d**2 + 66. Calculate -5*f(m)
{ "pile_set_name": "DM Mathematics" }
14 Solve 91*q + 7440 = -374*q for q. -16 Solve -16*b + 352 = 675 + 93 for b. -26 Solve 0 = -5174*h + 5164*h + 180 for h. 18 Solve 7 - 20 = 2*i - 21 for i. 4 Solve -182 = -26*n - 23*n + 63*n for n. -13 Solve 384*q - 283 = -1051 for q. -2 Solve -144 = 199*g + 73 + 1176 for g. -7 Solve 125 = -23*j + 424 for j. 13 Solve 28*x + 102*x = 783 + 777 for x. 12 Solve 0 = -176*f - 162*f + 6760 for f. 20 Solve -127*t - 873 = -68*t - 156*t for t. 9 Solve -2487*w + 2194*w + 2051 = 0 for w. 7 Solve -16671 = 517*j - 2195 for j. -28 Solve 1435*w - 1592 = -217*w - 4896 for w. -2 Solve -12 + 103 - 42 = 7*v for v. 7 Solve -138*v = 240*v + 9450 for v. -25 Solve 144*x = 44*x + 99*x - 19 for x. -19 Solve -51*b - 433 = 33 - 109 for b. -7 Solve -47*k + 6285 = 99*k + 273*k for k. 15 Solve 16*g + 51 - 50 = -143 for g. -9 Solve 0 = -7*f + 58*f - 561 for f. 11 Solve -54 = 3586*b - 3568*b for b. -3 Solve 0 = -9818*u + 9816*u - 32 for u. -16 Solve 29*z + 63*z + 826 = 33*z for z. -14 Solve -224 = -72*k + 320 - 40 for k. 7 Solve -5 = -35*q - 8*q - 134 for q. -3 Solve -266 - 408 - 990 = 208*q for q. -8 Solve 76 - 840 - 5790 = 226*f for f. -29 Solve -148*a = -270*a + 156*a + 408 for a. -12 Solve -540*a - 3339 = -381*a for a. -21 Solve -43*i - 4569 = -4655 for i. 2 Solve -13*q + 1564 = 1681 for q. -9 Solve -95*n - 338 + 104 = 241 for n. -5 Solve 22*r - 20 + 172 + 2 = 0 for r. -7 Solve -8*w + 51*w + 6 + 252 = 0 for w. -6 Solve -44*y = -60 - 512 for y. 13 Solve 15*x + 47 = 302 for x. 17 Solve -4018 = 9*q - 4108 for q. 10 Solve 322 = -12*n - 32*n + 102 for n. -5 Solve 54*u + 59 - 221 = 0 for u. 3 Solve 0 = 26*f + 9*f - 30*f - 35 for f. 7 Solve -2383 = -245*x + 1047 for x. 14 Solve 0 = -12192*z + 12145*z + 658 for z. 14 Solve 97*f + 911 = 1008 for f. 1 Solve -23*k - 55*k = -9*k + 483 for k. -7 Solve -398 = -46*y + 246 for y. 14 Solve -8808*i + 738 = -8726*i for i. 9 Solve 0 = 720*s - 1430*s + 4970 for s. 7 Solve -21*p - 3*p = -38*p - 224 for p. -16 Solve 1271 = 685486*m - 685527*m for m. -31 Solve -151*q + 934*q - 5688 = 72*q for q. 8 Solve 169*l - 327*l - 1580 = 0 for l. -10 Solve 4*o + 12*o + 10*o + 104 = 0 for o. -4 Solve 60*b - 106 + 64 = 39*b for b. 2 Solve -377*q + 364*q - 505 = -89 for q. -32 Solve 320*t + 1223 - 5383 = 0 for t. 13 Solve -6155*f - 10 = -6165*f for f. 1 Solve 42*h - 362 = -32*h + 378 for h. 10 Solve 23*a - 528 = -2*a - 8*a for a. 16 Solve 6*f + 110*f = 232 for f. 2 Solve -4*u = -63 + 95 for u. -8 Solve 107*b + 571*b - 16272 = 0 for b. 24 Solve -181*n + 336 - 2 = -28 for n. 2 Solve -55*h - 267 = -597 for h. 6 Solve -481*g - 446*g = -1017*g + 2250 for g. 25 Solve -81*m = -2083 + 625 for m. 18 Solve -306*d + 42 = -292*d for d. 3 Solve -101*m + 649 - 1384 = 174 for m. -9 Solve 110458*d + 806 = 110520*d for d. 13 Solve -327*i - 89*i - 12612 + 1796 = 0 for i. -26 Solve -494*m + 495*m = 0 for m. 0 Solve 203*i - 650 - 1006 = 374 for i. 10 Solve 0 = 50*o + 38 + 88 + 24 for o. -3 Solve -2*c - 23*c = 18 + 132 for c. -6 Solve 256 - 750 = 561*v - 314*v for v. -2 Solve 270*n + 182*n - 1976 = 6612 for n. 19 Solve -40277*v - 1190 = -40242*v for v. -34 Solve 185*v + 1995 = 80*v for v. -19 Solve 16 - 85 = 51*j + 33 for j. -2 Solve -3*q + 229 - 119 = 119 for q. -3 Solve -378*n = -948*n + 8550 for n. 15 Solve 222 + 762 = 492*p for p. 2 Solve 143*d + 446 = 2240 + 65 for d. 13 Solve -75*g = 304 - 754 for g. 6 Solve -478*u - 287 - 273 = -518*u for u. 14 Solve -2*k + 5 = -22*k + 225 for k. 11 Solve 691*j = 1404*j - 695*j for j. 0 Solve -69*x + 1740 = -377*x - 108 for x. -6 Solve -80*m + 159*m + 948 = 0 for m. -12 Solve -35*y + 123 - 209 = 474 for y. -16 Solve 85*f - 19*f = 40*f - 286 for f. -11 Solve 732 - 68 = -118*x - 988 for x. -14 Solve -62 = -93*g + 31*g for g. 1 Solve 168*b - 1056 = -243*b + 477*b for b. -16 Solve -98*w = -194*w + 100*w for w. 0 Solve -20*k - 34 = -35 + 121 for k. -6 Solve -154 = 309*y - 298*y for y. -14 Solve 36*s + 48 + 32 = -4*s for s. -2 Solve -216*r + 1476 = 30*r for r. 6 Solve -322 = -396876*x + 396853*x for x. 14 Solve -60*f - 24*f = 1512 for f. -18 Solve -126*z + 121*z + 710 = -360*z for z. -2 Solve 151 = -14*g - 34 + 17 for g. -12 Solve 2*j + 20*j + 11*j = -231 for j. -7 Solve 60*n = 1237 - 1957 for n. -12 Solve 16*l + 8610 = 8082 for l. -33 Solve -796*l = -391*l - 387*l + 234 for l. -13 Solve -629*g + 644*g - 285 = 0 for g. 19 Solve 0 = 282*i - 2080 + 388 for i. 6 Solve -398 + 294 = -13*h for h. 8 Solve 0 = -33*b + 74*b - 35*b - 12 for b. 2 Solve -9*r - 813 + 513 = 16*r for r. -12 Solve 22224 = -24*g + 148*g + 21232 for g. 8 Solve -14485 = -16*n - 14357 for n. 8 Solve 11*m - 28 + 176 = -17 for m. -15 Solve 82*c = 1051 + 261 for c. 16 Solve -134*m = 2468 - 994 for m. -11 Solve -92*g + 1116 = -25*g + 212*g for g. 4 Solve -121 = 252*s - 241*s for s. -11 Solve -140083 + 140479 = -33*j for j. -12 Solve 130 = 221*h - 231*h for h. -13 Solve -1215 = -249*t + 789 + 1980 for t. 16 Solve -9*i + 13*i - 160 = -6*i for i. 16 Solve -79*f + 444 = -468 + 280 for f. 8 Solve 76*c - 481*c - 16224 = 219*c for c. -26 Solve -2*r - 19 + 20 = 41 for r. -20 Solve -37*k + 27 + 154 = -226 for k. 11 Solve -13801 - 203 = -590*y - 434 for y. 23 Solve -34*t + t - 38 = -434 for t. 12 Solve -2799 = 390*x + 3051 for x. -15 Solve 34*j + 344 - 1496 = -110*j for j. 8 Solve 407*p - 392*p = -90 for p. -6 Solve -12*t - 40 = -197*t + 1625 for t. 9 Solve -5 - 28 + 17 = -16*c for c. 1 Solve 403*x - 407*x + 28 = 0 for x. 7 Solve 3899 = -645*a - 1468 - 2373 for a. -12 Solve -3083*k = -3120*k + 888 for k. 24 Solve -61*v + 27*v = 374 for v. -11 Solve 0 = -1327*n - 41406 + 9558 for n. -24 Solve -42*a + 9*a + 183*a - 2250 = 0 for a. 15 Solve -62*i + 774 = -16 + 108 for i. 11 Solve 47*q - 358 = -9*q - 134 for q. 4 Solve -849814*l = -849815*l - 1 for l. -1 Solve 1146*x = 523*x - 6230 for x. -10 Solve 192*g + 1009 + 143 = 0 for g. -6 Solve -914*q + 5340 = 4754 - 8554 for q. 10 Solve 132*h + 96 = 37*h - 664 for h. -8 Solve -81*u + 55*u + 43*u - 595 = 0 for u. 35 Solve -48*r + 55 - 5 = 2 for r. 1 Solve 12*u - 4*u = 23*u + 120 for u. -8 Solve -8695*d + 480 = -8711*d for d. -30 Solve c + 27*c = 11*c - 221 for c. -13 Solve 101*s = -226*s + 36*s - 582 for s. -2 Solve -3516 = 144*n + 149*n for n. -12 Solve 6084*y - 6037*y = -282 for y. -6 Solve 16*z - 3 = -89 + 6 for z. -5 Solve -46*o + 373 + 612 = -533 for o. 33 Solve -135*k = -37*k - 3724 for k. 38 Solve -25013*n = -25025*n - 60 for n. -5 Solve 814 - 1964 + 622 = -48*h for h. 11 Solve -499*r + 3090 + 1558 = 165*r for r. 7 Solve 166*i + 7606 = -721*i - 19891 for i. -31 Solve -188*p + 2381 = 1817 for p. 3 Solve -2070*p + 2047*p - 253 = 0 for p. -11 Solve 0 = 101*i + 137*i - 238 for i. 1 Solve -17 = 5*i - 10 + 13 for i. -4 Solve 16*j + 32 = 23*j - 9*j for j. -16 Solve -14*b - 84 + 2 - 198 = 0 for b. -20 Solve 0 = -22*u - 50*u - 0*u + 1728 for u. 24 Solve 0 = -125*h + 31*h - 112 + 206 for h. 1 Solve -475 + 4017 = 322*k for k. 11 Solve 197*b - 535*b - 7952 = 230*b for b. -14 Solve 158*d = -3243 - 549 for d. -24 Solve -22 - 253 = -41*k + 94 for k. 9 Solve 57*s + 107 = -121 for s. -4 Solve 0 = 141*g + 17*g - 1357 - 65 for g. 9 Solve -516*t = -572*t - 392 for t. -7 Solve -65*p + 32*p + 66 = 0 for p. 2 Solve 185*x + 1011 + 3059 = 0 for x. -22 Solve 6*m - 217 = -145 for m. 12 Solve 581*h = 1286 + 1619 for h. 5 Solve 133*w - 7*w - 882 = 0 for w. 7 Solve -4 + 61 = -57*t for t. -1 Solve 2636*q - 2641*q + 37 + 8 = 0 for q. 9 Solve -128*n = 585 - 1737 for n. 9 Solve 161 = 42*k + 4*k - 69 for k. 5 Solve 0 = -605*k + 78*k - 6673 - 178 for k. -13 Solve -64*c = 37*c + 114*c - 2365 for c. 11 Solve 2097 + 873 = 165*c for c. 18 Solve -35 = -40*i + 205 for i. 6 Solve 200*s - 179*s - 189 = 0 for s. 9 Solve 74*i = -133*i + 1287 + 2025 for i. 16 Solve -742 = 34*n - 300 for n. -13 Solve -24 - 10476 = 375*o for o. -28 Solve 26*a + 53*a + 197 - 434 = 0 for a. 3 Solve -24*t + 177 + 375 = 0 for t. 23 Solve 528*h - 5032 = 1304 for h. 12 Solve 0 = -14*l + 43*l + 29 for l. -1 Solve -5*x + 15326 - 15391 = 0 for x. -13 Solve 20*t + 7*t - 749 + 398 = 0 for t. 13 Solve 13537*t = 13579*t - 714 for t. 17 Solve -3572*w + 3602*w - 660 = 0 for w. 22 Solve 71*f + 169 = -115 for f. -4 Solve -119 + 217 + 2 = 10*k for k. 10 Solve 118*h = 146*h - 112 for h. 4 Solve 3*z + 136 = 118 for z. -6 Solve -21
{ "pile_set_name": "DM Mathematics" }
or -1? -1 Let y(z) = 37*z - 6. Let q be y(1). Suppose 37*b - 105 = 34*b. Suppose b*c = q*c - 128. Is -31 greater than or equal to c? True Let q be ((-79625)/(-84))/13 + (52/48 - 1). Is q greater than 82? False Let y = -10180 - -28979. Is y != 18800? True Let p be (0 - -186)*((-8)/(-6) + -2). Let o be 1/1*(-379)/(-3). Let z = p + o. Are 1 and z nonequal? True Let a = -2544 + 2510. Which is bigger: a or 28? 28 Let y be (-7)/((-7)/(-2))*(-3)/3. Suppose 2*g - y = -4*q, 5*q - 20 = -5*g + 10*q. Let c be 2 - -2 - (-12)/(-4). Which is smaller: g or c? c Let m = 151 - 43. Suppose 4*w - 56 = m. Let v = 35 - w. Is 0 <= v? False Let k(d) = d**3 - 11*d**2 - 20*d - 77. Let j be k(13). Suppose -4 = o - 2*r + 2, 0 = o + 5*r - 8. Let f be o + 0 + 2 + 6. Do f and j have the same value? False Let t be 40/(130/13)*(-6)/(-4). Let u be (t/(-2))/((-12)/344). Suppose -5*h = -3*h - 172. Is h >= u? True Suppose q - 19 = -z + 18, 0 = -q + z + 43. Suppose q = g + 1. Suppose -51 = 5*u + 4*l, -3*u - 4*l + 10 = g. Which is bigger: -13 or u? u Let x(a) = a**2 - a. Let s be x(2). Suppose s*c = 2 - 4. Let v be (0 - 1)*(-1 + c + 3). Do 2/21 and v have the same value? False Let l(i) = -i**2 - 7*i - 4. Let b be l(-5). Suppose -y - 15 = -b*y. Suppose -1 = -y*h + 4*h - g, -5*g = -10. Do h and 1/8 have the same value? False Let s = -198 + 97. Let l = -111 + 11. Does s = l? False Let y = 11575/4 - 2445. Is y smaller than 448? False Let v be (-3 - (4 - 2))*-1. Suppose 5*l - 3*l - v*a + 35 = 0, -3*l = 2*a + 24. Let y be 15/(-48)*l - 3. Which is smaller: -1 or y? -1 Let f(u) = -3*u**2 + 24*u - 5. Let s(d) = -7*d + 20. Let y be s(2). Let t be f(y). Does t = 28? False Let k = 32 - -53. Let m(i) = i**3 - 6*i**2 + 169*i - 1231. Let x be m(7). Is x equal to k? False Let s = -5 - -12. Suppose -3*g + s = 16. Suppose 18 = -5*k - 2*a, -727 + 737 = k - 3*a. Is g < k? True Suppose -5*s + 1061 = -4*c + 8, -2*c = -5*s + 529. Let g be 18/27 + -2 + c/(-196). Is 0 >= g? False Let c = -118 - -114. Let j be (-1*1/c)/(35/(-40)). Are j and 2/7 non-equal? True Let m = -55 - -25. Let u be m/9*(-6)/(-4). Let v be (22/(-3))/((-188)/(-36) + u). Is v < -33? False Let l = -14.4 + 13. Let f = 35.4 + -33.4. Let y = f + l. Is y less than 2? True Let s = -8.9 + 9.9. Let m be 1*3 + 6/(-3). Suppose 0 = -2*l - 0*l + i + 155, m = -i. Is s <= l? True Suppose -4*q + 50 = -5*f - 0*q, 0 = -5*f - q - 50. Let o be (-1 - 102/(-30))/((-94)/f). Is o != 1? True Let h = 4.1 - 0.5. Let i = 1.903 - 5.303. Let r = h - i. Is r > 3/2? True Let q = 137.906 - 126.86. Let m = q - 11. Let v = m + 1.054. Does v = 0.2? False Let p(n) be the second derivative of n**5/20 + 5*n**4/4 - 6*n**3 - 35*n**2/2 + 13*n - 2. Let v be p(-17). Which is smaller: -10/11 or v? v Let g be 493/(22/18 + (-12)/54). Which is bigger: 497 or g? 497 Let a be ((-1)/2)/(1/2). Suppose 0 = -3*r + 4*b + 29, -5*r = 4*b - 40 + 45. Let n be 38 - 3/r - (-2 - a). Are n and 37 nonequal? True Let f = 19834 - 257662/13. Let n = -904/39 + f. Are n and -10 non-equal? True Let t be ((-18)/9 + -30)/(-2). Let p be ((-6)/(-357))/(9 - t). Is p at least as big as -1? True Let t = -629753717/12276 - -4869847/124. Let r = 110200/9 + t. Let m = r - 218. Is -0.1 greater than or equal to m? True Let m = 393.7 + -393.8. Is m greater than or equal to -83.3? True Let m = -81654 + 4245603/52. Do -7 and m have different values? True Let s = -54899/31 - -1771. Let k be 0*1/2*-2. Which is smaller: s or k? k Let g be 200688/54 - 64/144. Is g at most as big as 26014/7? True Suppose 13*v + 2106 + 1059 = 825. Is -177 greater than v? True Let c(f) = 4747*f. Let b be c(-1). Let j = -7475 - b. Let a be (1 - 3)*22/j. Are 1 and a equal? False Let v be ((-34)/(-8))/(((-11)/(-132))/((-5)/(-15))). Suppose -2*x - 99 = -7*x + 2*c, 4*c = 5*x - 103. Do v and x have the same value? False Let v be (198/(-110))/(6/(-670)). Let i = -143 + v. Is 57 <= i? True Let m = 4 + -4.7. Let p = -6.6 - -6.668. Let j = -0.012 - p. Which is bigger: j or m? j Let c be 41/14 + 1/14. Are c and -0.2 non-equal? True Let y = 73.6 + -0.6. Let a = -60 + y. Let w = a + 2. Is 1 <= w? True Let s = -371 + 539. Let f = 171 - s. Is f > -1.4? True Let p = 3.36 + -95.36. Let r = 91.9 + p. Is r < 0.95? True Suppose 3*y + 4*c - 88 = -c, -16 = 4*c. Let h(b) = -b**3 - 3*b**2 - 9*b - 19. Let i be h(-4). Which is smaller: i or y? i Let c = -37.21 - -2.21. Let u = c - -33. Which is smaller: u or 125? u Suppose -238*z = -146*z + 1252856. Is -13618 at most z? True Let o = 43 - 35. Let z = o + -4. Let v be 2/(-2) + 168/(-52) + z. Is v not equal to 0? True Let d = 0.27 - -66.73. Is d not equal to 33? True Let b = 0 + 34. Let f be (b/8)/((-24)/(-96)). Which is bigger: 16 or f? f Suppose -132*j + 8865 = -189267. Which is bigger: 1500 or j? j Let p = -63 - -263. Let z be 190*48/p*10/4. Is z at most 453/4? False Let c = 128.6 - 127.6. Let w = 104.2 - 2.2. Which is bigger: c or w? w Let c(p) = -2*p + 27. Let u be c(15). Let m be (8/(-60)*u)/((-2)/(-5)). Is m not equal to 3/22? True Let y(g) = 15*g - 30. Let c be y(4). Suppose 0 = -2*o - c + 24. Which is smaller: -17/4 or o? -17/4 Let f be (-402)/(-20) - (-8)/20. Suppose 0 = 4*i + 6 - 14. Suppose 2*u = 10, -5*c = -i*u - u - 90. Are f and c equal? False Let m(w) = -5*w**3 - 4*w**2 - 3*w. Let l be m(-1). Suppose -l*t = -3*x - 159, -5*t + 40 + 164 = -2*x. Are 41 and t equal? False Suppose 0 = 12*i - 925 - 575. Is 880/7 smaller than i? False Let h be ((-1)/1)/(45/(-2490)*36/78). Which is bigger: 119 or h? h Suppose -7 = -4*b - 3*x + 8, 3*x = b. Let t be ((-1)/2)/(b/24). Let q be (t/(-108)*6)/(14/(-6)). Are 1 and q nonequal? True Let x = -1817 - -176259/97. Let i = x + -6336/63341. Is i less than or equal to 0? False Suppose -7*n + 0 + 14 = 0. Let z = -1475 + 1462.33. Let p = -12.4 - z. Is n not equal to p? True Let a(x) = -x**2 - 6*x - 3. Let y be a(-5). Let t = 2852/3 + -65536/69. Which is smaller: t or y? t Let d = 3448 - 11728. Let h be 1/(-4) - 2934/d. Which is greater: -1 or h? h Let c be (-12)/440*5/(45/21). Suppose 49*y + 26 + 23 = 0. Which is greater: c or y? c Let z = 57/12175 - 2736329/389600. Let b = -287/32 - z. Which is greater: b or -3? b Let v = 2.22 + 0.48. Let r = v - 0.2. Let d = 297 - 297. Is r equal to d? False Let x = 6158 + -6156. Is -1167 less than x? True Suppose b + 5*z = -0*b + 27, 4*z - 10 = 5*b. Suppose -2*l + 38 = -b*k + 142, -4*l = -3*k + 210. Is l at most as big as -54? True Let d = -384 + 381.96. Let w = 2.24 + d. Is w not equal to -103? True Let z = -127588/3 + 42530. Is -34/39 bigger than z? False Let i = -186 - -188. Let o = -11483/11 + 1045. Which is bigger: o or i? i Let c = -138 + 207. Suppose 10*f = -231 - c. Is -30 <= f? True Let k = -7 + 1. Let h = k - -12. Let d be (h/(-96))/((-4)/8). Is d bigger than -1? True Let f be (-132)/((12/(-33))/((-30)/55)). Let z = 198 + f. Which is bigger: z or -3/35? z Suppose 33*c = 20*c - 130. Let t be 1425/(-21) - c/(-70). Which is greater: -65 or t? -65 Let k be -9 - ((-12)/20)/((-10)/(-150)). Is 2/109 bigger than k? True Suppose -2*x - 8 = -3*f, -3*x - 1 = 11. Let u be 12/(-8) + 351*(-1)/(-2). Let w = u - 6441/37. Does f = w? False Let c be 6/(-36) - (-13730)/12. Let q be 13/((-650)/(-30)) - c/(-10). Is 115 bigger than q? False Suppose 274314 = -137*a + 1416483. Which is greater: 8338 or a? 8338 Let o = 7 + -15. Let y be 2/((5 + -9)/24). Let a = o - y. Is a equal to 4? True Let r(v) = v - 1. Let j(s) = -18*s + 4. Let k(l) = j(l) + 5*r(l). Let q be k(-3). Let p = -36 + q. Which is smaller: p or 12/11? 12/11 Let s = -5553 + 5510. Which is smaller: s or 32? s Let v = -187 + 183. Let a be (-26)/(-4) + (v - 2). Which is smaller: -0.1 or a? -0.1 Suppose 0 = 25*v + 3*v - 34272. Suppose -3*p = v - 387. Is -279 less than p? False Let u = -2.118 + 4.118. Which is greater: -1/428 or u? u Suppose s = 2 - 0. Let n = -1174 + 1170. Let b be n + 3 + s - -5. Is b greater than or equal to 13/2? False Let i be (-1)/(0 + (-2)/46). Let v be 7 - (-12)/10*5. Let y(l) = 5*l - 42. Let u be y(v). Do u and i have different values? False Let i(h) = -h**3 - 9*h**2 - 13*h + 10. Let f be i(-7). Suppose -3*v + f = -2*v. Suppose -18 = b - 5*p, -4*b - p = -v*b - 6. Does 2 = b? True Let b be (((-3)/(-9))/1)/(1 + 9 + -8). Is 1/13 smaller than b? True Let i = 22510 - 22982. Ar
{ "pile_set_name": "DM Mathematics" }
uppose 8*j + 9 = g + 10*j, 2*g = 5*j. Solve g*b = 26 - 31 for b. -1 Let q(l) = -l**3 - l**2 + 2*l + 4. Let h be q(-1). Solve -2*w - h*w + 4 = 0 for w. 1 Suppose -5*c - 44 = -2*y, -5*y + 48 = -2*c - 20. Solve y = -9*m + 21 for m. 1 Let b = 11 - -5. Let x be 89/7 - b/(-56). Solve -5*n - x = 2 for n. -3 Let d(g) = 9*g**2 - 5. Let t be d(2). Let s = t + -23. Solve -s*j = -5*j - 3 for j. 1 Let n be 2910/388*8/30. Solve n = -8*s + 18 for s. 2 Suppose -4*b + 1 = -3. Let c = -6 - b. Let m = c + 10. Solve -m*l = -0*l + 3 for l. -1 Suppose 5*r + v = -3*v + 39, 0 = 2*r - 4*v - 38. Solve 21 + r = 8*a for a. 4 Let y = -5 - -5. Suppose -3*t + p = y, t + 0*p = -p. Solve -5*m = -t*m + 20 for m. -4 Let v be (-6)/(-33) + (-237)/33 + 3. Let l be ((-64)/v + -1)*2/6. Solve l = 4*q + 1 for q. 1 Let j(z) = -z**2 + 10*z + 6. Let x be j(10). Solve -5*o + 2*o = -x for o. 2 Let c be (-1794)/45 - 8/60. Let a be 0/((-10)/c + (-5)/4). Solve 0 = g - a*g for g. 0 Let w = -499 - -512. Solve -48 = -w*o + 17 for o. 5 Let v(z) = z**2 - 14*z + 35. Let y be v(11). Suppose 0 = 3*o + 4*a - 5, 4*a + y = o - 5. Solve 4 = o*k - 7*k for k. -1 Let b = 7 - -11. Let z = b - 19. Let l be 2*(z + 3) - 4. Solve 2*t - 1 - 1 = l for t. 1 Suppose z - 26 = -5*q, 0*q - q - 10 = 4*z. Suppose -10 = 2*l + 2*d - 0*d, -l + 10 = -2*d. Solve j - q*j = l for j. 0 Suppose v = 1, 213 = u + 4*v - 87. Solve u*x - 4 = 295*x for x. 4 Let q = -38 - -38. Suppose 0*r - 3*r = q. Solve -5*l - 8 + 3 = r for l. -1 Suppose -2*t + 0*m + 506 = -4*m, 0 = -4*t + 3*m + 992. Let u be (-2)/(-12) + t/42. Let i be (-2)/u - 39/(-9). Solve -i = -v - 0*v for v. 4 Suppose 57 = -44*f + 47*f. Solve -8*w = -27*w - f for w. -1 Suppose -24 = -17*x + 14*x. Let m be x/16 - 9/(-6). Solve -3*a + 1 = -m for a. 1 Let n(w) = 2*w**3 - 17*w**2 + 10*w - 12. Let p be n(8). Let c be (2 + 0 - p) + (-15)/(-3). Solve 2 = 5*s - c for s. 1 Let q(l) = -4*l + 33. Let w be q(7). Let u(t) = -3*t**3 + 2*t**2 + 4*t + 2. Let k be u(-2). Solve -k = w*i - 1 for i. -5 Let t(u) = u**3 - 12*u**2 - 12*u - 9. Let o be 1/4 - 816/(-64). Let g be t(o). Solve 8 + 4 = -g*l for l. -3 Suppose 4 = -2*i, 2*d - 2*i = 6*d - 24. Suppose d*c = 5*c + 4. Solve -c - 1 = o for o. -3 Let n be (-162)/30 - 4/(-10). Let w = n + 7. Suppose 4*q = -4, v + 2*q + q = 1. Solve w*j = v*j for j. 0 Let s be (486/(-270))/((-2)/10). Solve s*i - 24 = 21*i for i. -2 Let n = -4 + 5. Let o be (n + -2*(-4)/16)*2. Solve -5*f - o = -28 for f. 5 Suppose 0 = -3*z, 6*p - 3*z = 2*p + 8. Solve -9 = -p*x - 1 for x. 4 Suppose -55 = -8*m - 23. Suppose 0 = m*w + b - 19, 3*w = 2*b + 7 - 1. Solve 5 - 1 = w*l for l. 1 Let c = -21 + 21. Suppose -3*z + z + 18 = c. Solve -z - 6 = 3*x for x. -5 Let f = 15 + -10. Suppose -f*x + 10 = -2*a, x + 15 = -3*x - 3*a. Solve x = 3*t - 7 - 8 for t. 5 Suppose -3*f = 4*b + 5, 0 = 5*f + 81*b - 76*b. Suppose -5*k = 3*r + 2*r - 75, 0 = -3*k + r + 57. Solve -k = f*l - 3 for l. -3 Suppose 1 = -2*k + 139. Solve 6 = -k*m + 67*m for m. -3 Suppose 2*y = y. Suppose -n + 2*v + 3 = -7, -4*n - 2*v = 0. Solve w = -y + n for w. 2 Suppose 0 = 7*n - 13 - 15. Suppose -4 = 4*i - 16, i + 13 = n*y. Solve -y*r + 6 = -7*r for r. -2 Suppose -4 = 3*p + 5*n, 21 + 4 = 5*p + 2*n. Solve -p*x = -3*x for x. 0 Let d be (2 + -1)/(4/24). Solve 5 = -r + d*r for r. 1 Let u(b) = -b. Let a be u(-2). Let n = -599 - -601. Solve n = -v - a for v. -4 Suppose -u - 1 - 9 = 0. Let l = u - -9. Let p be 2 + (1 - (-1 - l)). Solve -p*y + 5 = -10 for y. 5 Let z(y) = -2 + 3 - 8*y - 1 - 2. Let t be z(1). Let r = t - -17. Solve 2*h - 1 = r for h. 4 Suppose 3*z + 5*p = -82 - 69, -p + 209 = -4*z. Let t = z - -54. Solve 5*h = t*h for h. 0 Suppose -2 = -3*s + 4. Let z be (-1)/((s/(-13))/2). Suppose -4*w = m - 4*m - z, 4*w - 20 = -4*m. Solve 3*k - w*k = 4 for k. -4 Suppose -4*c + 6*p + 24 = p, -5 = -c + p. Solve 4 = h - c for h. 5 Let j be ((-129)/(-9) - 3) + 80/30. Solve -j*r - 2 = -2 for r. 0 Suppose 5*r - 4 = 4*r. Suppose -26 = -3*s + r*y, -4*s + 10 = 2*y - 10. Solve 4*d = d + s for d. 2 Let z = 0 + 5. Let k = 17 - 48. Let a = k - -35. Solve a*j + j = z for j. 1 Suppose -355 - 131 = 6*s. Let i = s - -83. Solve -z - i*z = 12 for z. -4 Suppose -x = -2*a + 4, 0 = -3*a - 2*x - 9 + 1. Solve a = 2*g + 4*g for g. 0 Let q(g) = -45*g + 14 + 44*g + 3. Let r be q(12). Solve 0 = 2*l - r*l for l. 0 Let s = 17 + -17. Let i = s + 2. Suppose -g + m - 3*m = -4, -g = -4*m + i. Solve 4 = -2*t - g for t. -3 Let p(l) = -7*l**2 + 3*l - 8. Let j be p(8). Let h be 12/21 + j/(-28). Solve -4 - h = -5*q for q. 4 Suppose -11 = 5*u + 4*z, 0 = -u - 2*z - 0*z - 7. Let w be 64/(-24)*-3*u. Solve n = -3 + w for n. 5 Suppose 4*f = 19 + 9. Suppose -f - 53 = -5*j. Solve -k = 2*k + j for k. -4 Let a be (5/(35/4))/((-18)/(-189)). Solve k = -7 + a for k. -1 Let s(t) = 2*t**2 - 19. Let o be s(7). Suppose 3*c + 25 = o. Solve c = -5*l + 43 for l. 5 Suppose -b + 5*b = 0. Suppose -3*j - 112 + 7 = 0. Let l = -32 - j. Solve b = -6*x + l*x - 15 for x. -5 Suppose 5*w - 878 + 828 = 0. Solve -p + w*p - 36 = 0 for p. 4 Let n(d) = -d**3 + 9*d**2 + 3*d + 16. Let y be n(7). Let b = -131 + y. Solve b = -2*p - 0 for p. -2 Let s = -114 - -116. Solve 1 + 3 = s*r for r. 2 Suppose 2*n = h + 29 - 4, -3 = -h. Suppose 4*t + x = 2*x + n, 23 = 5*t - 4*x. Solve 5*d = t*d for d. 0 Suppose 5*j - 3*g + 1 + 3 = 0, -2*g + 7 = j. Suppose -3 = 3*m, 2*v + 3*m = -2*m - j. Solve q + 3 = v for q. -1 Suppose -649 = -5*m + 3*w, 5*w = 5*m + 7*w - 634. Solve m*o - 127*o = 5 for o. 5 Let r = -117 - -132. Solve -40 + r = -5*k for k. 5 Suppose -7 = 3*w - 2*w. Let d be (-2)/(w/((-21)/6)). Let g be (d/(-3))/((-1)/(-6)). Solve -6 = g*v + v for v. -2 Let m(i) = -i**3 + 16*i**2 + 17*i + 2. Let y be m(17). Suppose 2*o + 2*x - 7 = -x, -5*o - 5*x + 15 = 0. Suppose -3*t + o = -t. Solve w = t + y for w. 3 Let y(n) = 3*n**2 + 26*n - 2. Let h be y(-9). Suppose -w = u - h, 0*u - 4*u + 7 = -3*w. Solve -l + 1 - w = 0 for l. -2 Suppose -11*k + 42 = -25*k. Let h be 4/(-10) - (-1 + k/(-5)). Solve h = -2*y - 0*y - 8 for y. -4 Let g(s) = s**3 - s**2 + s + 2. Let t be g(3). Let m be 261/15 - (-2)/(-5). Let x = t - m. Solve -5*z - x = 19 for z. -5 Suppose 5 = -4*w + 9*w. Suppose 0 = 10*l - 6*l - 16. Suppose -10 = -5*a - 5*q, -a + l*a - 2*q = 11. Solve -o + a = -w for o. 4 Let c = -1459 - -1475. Solve c = 17*w - 35 for w. 3 Suppose -5 = -d - 2. Let k = 62 - 46. Suppose -7 = 4*l + 3*o, 4*l - k = o - d. Solve l = -2*j - 4 for j. -3 Suppose 7*c - 2*c + 4*a = 0, 3*c + 3*a = 0. Let r be c - 0 - 0/(-2). Suppose -15*p + 83*p = 136. Solve p*z + 3*z = r for z. 0 Let q(v) = -v**2 - 13*v - 23. Let b be q(-10). Suppose 0 = -2*p, 3*p + 13 = 3*u - 2. Solve b*w - 2*w = -u for w. -1 Let k be 1 + 13 + -2 - 4. Let z be 2/4*(-5)/((-10)/k). Solve 7 = 3*y - z for y. 3 Suppose 10*u + 12*u = 0. Solve u = -2*j + 5*j - 12 for j. 4 Suppose 3*n - 2 = 1. Let p be (0 + 1)*(5 - 1). Solve -p*w - 19 = n for w. -5 Let a(i) = -10*i + 12. Let m be a(0). Solve -m*c - 3 = -11*c for c. -3 Let i = -72 - -76. Suppose -7*s = -i*s - 6. Solve 0 = s*k - k for k. 0 Suppose -440 + 300 = -14*o. Solve o*b = 11*b for b. 0 Suppose 5*b = -0*f - 4*f + 28, 2*b + f = 10. Let i be (0 + 33)*b/(-12). Let a = 13 + i. Solve 0 = -2*y - a*y - 8 for y. -2 Let z(a) = 9*a + 8. Let v be z(-6). Let i = -30 - v. Let x(l) = -l**3 - 11*l**2 - 9*l + 12. Let t be x(-10). Solve t*g - 6*g = -i for g. 4 Suppose -45 = 2*j - 3*g, 5*j - 4*g + 154 = 45. Let d = j - -22. Solve -q = -0 + d for q. -1 Suppose -i - 317 = -326. Solve -15*t = i*t + 96 for t. -4 Let u = -97 + 129. Solve u - 4 = 7*l for l. 4 Let a be -1*((-6)/(-2))/(-3). Let y be (-3)/((a/8)/(-1)). Suppose 2*x = 5*o - 30, -3*o + 5*x = o - y. Solve o = 5*u - 9 for u. 3 Let h be (530/212)/((-1)/(-2)). Let x = 0 + 4. Solve 3*z + h = x*z for z. 5 Let q(m) = -6*m - 10. Let s be q(-2). Let l be 3 + -6 + 5 + -2 + s. Solve -w - l*w = 6 for w. -2 Let v = 56 + -50. Suppose 0 = q - 10 + v. Solve j = 2*j + q for j. -4 Let d(i) = -7*i**2 - i - 1. Let c be d(-1). Suppose 0 = -3*j + 9*j - 42. Let r = j + c. Solve 8 = -r*g + 4*g for g. 2 Let k(o) be the third derivative of -o**4/12 + 4*o**3 - 20*o**2. Let s be k(6). Solve 4*u - u - s = 0 for u. 4 Suppose u - 5*d = -u + 44, -4*u + 5*d + 68 = 0. Let z be (u/10)/((-2)/(-5)). Solve 0 = -z*n + 4*n - 1 for n. 1 Let w(c) = -c**2 -
{ "pile_set_name": "DM Mathematics" }
(900))*6). -sqrt(7)/62 Simplify (-1 + sqrt(68) + 0 + sqrt(68) + 4 - (sqrt(68)*-2 + 1 - (-5 + sqrt(68) + 1 + sqrt(68))))**2*-3. -7356 + 144*sqrt(17) Simplify (1*sqrt(1331) - 6*(sqrt(11) + sqrt(1100) + sqrt(11))**2)*-5. -55*sqrt(11) + 47520 Simplify (1 + 6*((-3 + -1*sqrt(396))*-5 + -3))**2. 26280*sqrt(11) + 361729 Simplify (sqrt(432) + sqrt(432) + 1)*5 + sqrt(27)/sqrt(36) + sqrt(363) + -1. 4 + 263*sqrt(3)/2 Simplify ((1*(sqrt(204) + (sqrt(204) - sqrt(204)*1)) + (6*(sqrt(204)*-1 - sqrt(204)) - sqrt(204)))/((sqrt(972)*-2 + sqrt(972))*-2))**2. 68/9 Simplify -2*(-4*(sqrt(243) - (sqrt(243) - 2*sqrt(243))*1))**2*-2. 62208 Simplify (1*sqrt(304) + ((sqrt(228) - -2*sqrt(228) - sqrt(228))/sqrt(12) - sqrt(19))**2)*4. 16*sqrt(19) + 76 Simplify ((4*((sqrt(133) - sqrt(133)*-2) + sqrt(133) - sqrt(133)))/(sqrt(84)/(sqrt(12)*2)))**2*-5. -54720 Simplify ((-3 + 4 + (2*sqrt(153) - sqrt(153)) + 3 + 0)*-1)**2. 24*sqrt(17) + 169 Simplify 3*((sqrt(240) + (sqrt(240) - sqrt(240)*-1) - sqrt(15))*3)/(sqrt(147) - 2*sqrt(147)*1). -99*sqrt(5)/7 Simplify 4 + -3 + ((-4 + sqrt(847) + -2 + sqrt(847) - (sqrt(847) - (sqrt(847) + 2*sqrt(847)*2)))*-1)**2. -792*sqrt(7) + 30529 Simplify ((sqrt(104)*2 - sqrt(104)) + sqrt(104))/(sqrt(2) + sqrt(2) + sqrt(16)/sqrt(200)). 20*sqrt(13)/11 Simplify (sqrt(550)/(sqrt(10) - sqrt(160)) - (sqrt(385)*1)/sqrt(7))/(5*(sqrt(176)*-2 + sqrt(176))). sqrt(5)/15 Simplify 4 + (sqrt(396) - (0 + (sqrt(396) + -1 - sqrt(396))) - (sqrt(396) + -2)*3). -12*sqrt(11) + 11 Simplify ((sqrt(28)/sqrt(4))**2 + 2)*-1 - (sqrt(7) + 4 + sqrt(28)/sqrt(4) + sqrt(35)/(sqrt(5)*-2)). -13 - 3*sqrt(7)/2 Simplify (1 + 4 + sqrt(171)*-2)**2*4. -240*sqrt(19) + 2836 Simplify (6*(sqrt(5) - sqrt(40)/sqrt(8)) + 5 + sqrt(5) + -2 + 1)**2. 8*sqrt(5) + 21 Simplify 2 + (sqrt(20) + sqrt(20) + sqrt(20)*-3 + 5 + -2)**2. -12*sqrt(5) + 31 Simplify (sqrt(30)/((sqrt(48) - sqrt(768))/sqrt(8)) - (1 + sqrt(5) + 5 + -3))**2*-2. -322/9 - 16*sqrt(5) Simplify ((sqrt(38)/sqrt(2) + 3)*-6 + (sqrt(76)/sqrt(36) - (-4 + sqrt(76))))**2. 644*sqrt(19)/3 + 11815/9 Simplify 5 + (3 + sqrt(175)*-1 + -5*(3 + sqrt(175)) + 1)**2. 660*sqrt(7) + 6426 Simplify (6*sqrt(3)*-2 - sqrt(3)) + sqrt(3) + (sqrt(3) + sqrt(48))**2*1 + 3*sqrt(108)*4. 75 + 60*sqrt(3) Simplify (-3*(sqrt(175) + sqrt(175) + sqrt(175) + sqrt(175)*-1 + 4 - -1*(3 + sqrt(175)))*-4)**2. 30240*sqrt(7) + 233856 Simplify ((sqrt(20) - (sqrt(20) + (sqrt(320) - 3*sqrt(320)))) + sqrt(20))/(-4*sqrt(484)). -9*sqrt(5)/44 Simplify (sqrt(275)*-1 + 4 + sqrt(44) - -6*(sqrt(11) + 0)*-4)**2 + 0. -216*sqrt(11) + 8035 Simplify 6*(4 + (3*3*sqrt(325))**2). 157974 Simplify -4 + 6*(-3*(sqrt(19) - (sqrt(19) + -4 - sqrt(19))))**2 + 2. 432*sqrt(19) + 1888 Simplify 4*((sqrt(700) - -2*sqrt(700)) + sqrt(700) + sqrt(28))/(-1*sqrt(324)). -28*sqrt(7)/3 Simplify (2 + sqrt(17)*-2*3 + -5*-1*sqrt(17))**2. -4*sqrt(17) + 21 Simplify (-4*(sqrt(1377) - (sqrt(1377) + 0) - (1 + sqrt(68) - sqrt(17)))*-2)**2*-4. -4608 - 512*sqrt(17) Simplify 2*((sqrt(102)*1 - sqrt(102))*4 + (sqrt(102) - (sqrt(102) - (-2*sqrt(102)*-3 + sqrt(102)) - sqrt(102))))/((sqrt(72)*1*-5)/sqrt(12)). -16*sqrt(17)/5 Simplify (-6*(sqrt(468)*-2 + 5 + -3) + 3)**2. -1296*sqrt(13) + 67473 Simplify -1 + sqrt(300) + 6*(sqrt(300)*1)**2 + sqrt(300) + -2*(0 + sqrt(300) + 1) + 4. 1801 Simplify (sqrt(637) + (sqrt(637) - (2 + (sqrt(637) - (-1 + sqrt(637))))**2) - (5 + sqrt(637)*2)**2) + sqrt(637) + ((sqrt(637) + 1)*2)**2 + -5*(sqrt(637) + 1). -98*sqrt(13) - 35 Simplify (4*(sqrt(3)*-2*-3 + sqrt(189)/sqrt(7)))**2. 3888 Simplify 3 + (3*(sqrt(72) + -3*(sqrt(72) - (-3 + sqrt(72) - sqrt(72))))*-6)**2. 69984*sqrt(2) + 119559 Simplify (sqrt(102) - 4*sqrt(102)*-3)/(-5*sqrt(600)). -13*sqrt(17)/50 Simplify (-4*(sqrt(66) - sqrt(66)*-1))/sqrt(6) + (sqrt(132) - -2*sqrt(132)*-2 - sqrt(132))/sqrt(12). -12*sqrt(11) Simplify 3 + -4 + 2*((5*(-1 + sqrt(720)))**2 - (5 + sqrt(720)*1 + sqrt(720))). -1248*sqrt(5) + 36039 Simplify 3*(6*(sqrt(280) + (sqrt(280) - 2*sqrt(280))) + sqrt(280))/(-3*(-2*sqrt(10) - sqrt(10)) - sqrt(10)). 3*sqrt(7)/4 Simplify ((sqrt(110) + (-2*sqrt(110) - sqrt(110) - sqrt(110)))*-4)/sqrt(10) - (sqrt(1100) + (sqrt(1100) + 0)**2 - ((-2*sqrt(275))**2 - sqrt(275))). -3*sqrt(11) Simplify 0 + 4 + 4*(((-1 + sqrt(11))*3)**2 - sqrt(11))*4 + -3. -304*sqrt(11) + 1729 Simplify (4*(sqrt(396) + sqrt(396) + sqrt(396) + -2) + -2*sqrt(396)*-1)**2*5. -6720*sqrt(11) + 388400 Simplify (-6*(-1*sqrt(133) - sqrt(133)))/((3*sqrt(28))/sqrt(4))*-2. -8*sqrt(19) Simplify ((3 + sqrt(700))**2 + 5 - (4 + (3*sqrt(700))**2)) + 1 + -4. -5593 + 60*sqrt(7) Simplify ((sqrt(1225)*1*6)/(sqrt(40)/(-2*sqrt(40)/sqrt(5))))**2. 35280 Simplify (sqrt(304)/sqrt(8)*-3)/((sqrt(18) + sqrt(18)*2 + sqrt(18))/sqrt(9) + sqrt(2)). -3*sqrt(19)/5 Simplify -1*(5 + sqrt(425) + -2 - (sqrt(425) - (sqrt(425)*-2)**2)*1)*-5. 8515 Simplify -6*(2 + -3 + ((sqrt(70) + (-2*sqrt(70) - sqrt(70)))/sqrt(7))/sqrt(2)). 6 + 12*sqrt(5) Simplify (sqrt(7260) + -3*sqrt(7260) - sqrt(60))/((sqrt(168)/sqrt(7))/sqrt(2)). -23*sqrt(5) Simplify -5*(((sqrt(304) + -1 + -5)**2 - sqrt(304)) + -1 + (sqrt(19) - (sqrt(19) - (sqrt(19) + 2))) + sqrt(19) + sqrt(19) + sqrt(1900) + -2). -1695 + 195*sqrt(19) Simplify ((sqrt(875)*-1 - sqrt(875))*-3 - sqrt(875))/((sqrt(270)/sqrt(144))/sqrt(6)). 100*sqrt(7) Simplify sqrt(22)/(sqrt(33)/sqrt(3)*6) + (sqrt(162)*-2 + -4)**2. 865*sqrt(2)/6 + 664 Simplify (-4 + sqrt(176)*2 - ((sqrt(176)*2 - sqrt(176))*-2 - sqrt(176)))**2. -160*sqrt(11) + 4416 Simplify (5*2*(1 + sqrt(1216) + 0 + (sqrt(1216) - (sqrt(1216) + -2*sqrt(1216) - sqrt(1216)))*4)*6)**2. 748800*sqrt(19) + 739818000 Simplify (sqrt(480)/((sqrt(96)*-1)/sqrt(8)))/(sqrt(56)/(sqrt(28)*3)). -6*sqrt(5) Simplify ((sqrt(132) + sqrt(132)*2 + sqrt(132))*-5)/(sqrt(36)/sqrt(48)). -80*sqrt(11) Simplify (sqrt(384)/sqrt(8) + -1*sqrt(48) + -2)**2. 4 Simplify ((sqrt(6)/sqrt(2) + 0 + 5)*5 + 5 + -2)**2. 280*sqrt(3) + 859 Simplify (sqrt(156)*4)/(-6*sqrt(3)*-2) + 1 + (0 + sqrt(1053) + -1)**2. -52*sqrt(13)/3 + 1055 Simplify 0 + ((sqrt(768)*2)/(sqrt(16)*3))**2. 64/3 Simplify ((-2*sqrt(66)*6)/sqrt(6))**2 - (sqrt(1584) + sqrt(1584) + -1 + sqrt(1584))*3. -108*sqrt(11) + 1587 Simplify 4 + sqrt(2299) + (sqrt(2299) - sqrt(2299)*2)*6 + sqrt(2299) + (-3 + sqrt(2299) + -3*sqrt(2299) + sqrt(2299))**2 + sqrt(2299). 33*sqrt(19) + 2312 Simplify (sqrt(16)/(sqrt(32)/sqrt(4)) + sqrt(32) + sqrt(1152) + sqrt(32) + ((sqrt(16)/sqrt(4))/sqrt(2) - (sqrt(2) - (sqrt(32) + 1*sqrt(32))))*-3)**2. 162 Simplify (-5 + ((sqrt(132)*-2)/sqrt(12))**2)*-1 - (((sqrt(1584) - -2*(0 + sqrt(1584))) + sqrt(1584))*-6)**2. -912423 Simplify (((sqrt(72) - (sqrt(72) - 3*sqrt(72)))/sqrt(6))/(sqrt(24)/(sqrt(4)*1 + sqrt(4))))**2 + -5. 67 Simplify (6*(-4 + (sqrt(18) - -1*sqrt(288))/sqrt(6) + -1))**2. -1800*sqrt(3) + 3600 Simplify (2*(5 + -3*(3 + -6*sqrt(2)*-2*1)))**2. 1152*sqrt(2) + 10432 Simplify 3*3*sqrt(187)/(sqrt(704) - -1*sqrt(704))*-3. -27*sqrt(17)/16 Simplify (((sqrt(68)*2 - sqrt(68) - sqrt(68))*-6*3)/((sqrt(2800)*-1)/sqrt(7)))**2. 0 Simplify (sqrt(128)/(5*sqrt(72)))/(sqrt(24)/((-1*sqrt(33))/sqrt(11))) + -4. -4 - sqrt(2)/15 Simplify 4*(sqrt(80) + 1) - sqrt(10)/(sqrt(8)/sqrt(4)*6). 4 + 95*sqrt(5)/6 Simplify (4 + 1*sqrt(11) + sqrt(11) - (0 + sqrt(891)))**2 + (sqrt(704) - (1 + sqrt(704))) + sqrt(11) + -5*(sqrt(11) + (sqrt(11)*2)**2 - sqrt(11)). -55*sqrt(11) + 334 Simplify -2*(sqrt(25)/sqrt(5) + 3 + -2 + (1*sqrt(180) - sqrt(180) - (sqrt(20)/sqrt(4) + -1))). -4 Simplify (-5*(sqrt(2448) + sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 1)) + 0)*-3)**2 + 1. -10800*sqrt(17) + 2203426 Simplify 6*((sqrt(891) - (5 + sqrt(891)*-1))**2 + 4 + sqrt(891)*1)*5. -5130*sqrt(11) + 107790 Simplify (4*3*sqrt(225) + sqrt(225))/(sqrt(50)/sqrt(90) - 1*(sqrt(20) - sqrt(5))). -117*sqrt(5)/2 Simplify 6*((sqrt(68) + -3 + sqrt(68) + -3)**2 + -1 + sqrt(68) + 0). -276*sqrt(17) + 1842 Simplify 3*(sqrt(1872) + -3 + -1 + sqrt(1872) + (sqrt(1872) + (sqrt(1872) + 1 - sqrt(1872)))*5)**2. 504*sqrt(13) + 275187 Simplify (sqrt(28) - 3*sqrt(1372) - 1*sqrt(112)/sqrt(4))**2*-4. -49392 Simplify 1*(3*sqrt(539))**2 + (sqrt(88) + (sqrt(88) - (-4*((sqrt(88) - sqrt(88)*4) + sqrt(88)) - sqrt(88))))/sqrt(8). -5*sqrt(11) + 4851 Simplify ((sqrt(170) + 5*(sqrt(170) - (sqrt(170) - ((sqrt(170) - (sqrt(170) - (sqrt(170) - sqrt(170)*-1))) + sqrt(170)))))*-2)/((-1*sqrt(80))/sqrt(
{ "pile_set_name": "DM Mathematics" }
030 and 25462. 58 What is the highest common divisor of 57 and 4228545? 57 Calculate the highest common factor of 2 and 1416398. 2 Calculate the greatest common factor of 532 and 5196. 4 What is the highest common factor of 844116 and 42? 42 Calculate the greatest common divisor of 964 and 62901. 241 What is the highest common divisor of 765 and 1635? 15 Calculate the greatest common divisor of 11664 and 42. 6 Calculate the highest common divisor of 642 and 115146. 6 Calculate the highest common factor of 1068 and 397652. 356 What is the greatest common divisor of 92626 and 348? 58 Calculate the greatest common factor of 4538210 and 116. 58 Calculate the highest common factor of 142 and 13604. 2 Calculate the greatest common factor of 3591 and 59859. 27 Calculate the greatest common divisor of 1088 and 127976. 136 What is the highest common factor of 2112401 and 2774? 1387 What is the greatest common factor of 5585191 and 239? 239 What is the highest common factor of 6555 and 1235? 95 Calculate the highest common divisor of 50560 and 432. 16 Calculate the greatest common factor of 83610 and 60. 30 What is the highest common factor of 3168 and 5346? 198 Calculate the highest common divisor of 988 and 17860. 76 Calculate the highest common divisor of 3365143 and 31. 31 What is the highest common divisor of 1225 and 21805? 245 What is the greatest common factor of 10776 and 120? 24 Calculate the greatest common divisor of 132 and 187242. 66 What is the highest common factor of 221880 and 300? 60 What is the greatest common factor of 65920 and 4224? 128 Calculate the highest common factor of 351 and 5811. 39 Calculate the highest common divisor of 182 and 25207. 91 Calculate the highest common factor of 71680 and 2016. 224 What is the highest common factor of 244 and 351238? 122 Calculate the highest common factor of 1012 and 319. 11 Calculate the greatest common divisor of 45 and 414135. 45 What is the highest common factor of 31205 and 2? 1 Calculate the greatest common factor of 203325 and 225. 75 Calculate the highest common divisor of 924 and 1823514. 462 What is the greatest common divisor of 24900 and 36? 12 Calculate the highest common factor of 2215696 and 84. 28 What is the highest common factor of 2651187 and 1449? 483 What is the highest common divisor of 183 and 42639? 183 What is the highest common divisor of 9 and 4546683? 9 What is the highest common factor of 1068838 and 25162? 1094 Calculate the highest common factor of 486 and 332667. 243 Calculate the greatest common divisor of 1023 and 5549. 31 What is the greatest common divisor of 136 and 304402? 34 Calculate the highest common factor of 251110 and 60. 10 Calculate the greatest common divisor of 38835 and 180. 45 What is the highest common factor of 708308 and 92? 92 Calculate the greatest common factor of 4 and 286372. 4 Calculate the highest common divisor of 267812 and 426. 142 What is the highest common divisor of 355557 and 897? 69 Calculate the highest common divisor of 5 and 3072655. 5 What is the greatest common divisor of 72 and 924? 12 Calculate the highest common divisor of 22999 and 6431. 109 Calculate the highest common factor of 22 and 461714. 22 What is the greatest common factor of 3857 and 725319? 203 What is the highest common factor of 1860 and 510? 30 Calculate the highest common divisor of 150 and 299550. 150 What is the highest common factor of 567 and 3031? 7 What is the greatest common factor of 338 and 2191254? 338 What is the greatest common divisor of 235039 and 350? 7 What is the highest common divisor of 1 and 15707? 1 What is the greatest common factor of 201664 and 828? 92 What is the highest common divisor of 80 and 65725? 5 Calculate the highest common divisor of 48 and 234792. 24 Calculate the greatest common factor of 1728207 and 13. 13 Calculate the highest common divisor of 13344 and 1548. 12 What is the greatest common factor of 146 and 30514? 146 Calculate the greatest common factor of 13 and 421811. 13 Calculate the greatest common factor of 53843 and 1541. 23 What is the highest common factor of 24 and 138396? 12 Calculate the highest common factor of 102 and 84894. 6 Calculate the greatest common divisor of 17381 and 377. 13 Calculate the highest common divisor of 60 and 63860. 20 What is the highest common factor of 13213 and 1267? 181 What is the highest common factor of 1287518 and 517? 47 What is the highest common divisor of 40 and 170540? 20 Calculate the greatest common divisor of 1278 and 3692. 142 What is the highest common factor of 384 and 6348? 12 What is the highest common factor of 264 and 92334? 66 Calculate the greatest common divisor of 15533 and 2156. 49 What is the greatest common factor of 695 and 255? 5 What is the greatest common divisor of 5045 and 5? 5 Calculate the greatest common divisor of 3 and 2969. 1 What is the highest common divisor of 1728 and 509976? 216 What is the greatest common divisor of 69871 and 90767? 653 Calculate the highest common factor of 67446 and 2700. 54 What is the highest common divisor of 59816 and 184? 8 What is the greatest common factor of 5760 and 6030? 90 What is the highest common factor of 936 and 3048? 24 Calculate the greatest common factor of 197 and 276194. 197 Calculate the greatest common factor of 11 and 115511. 11 Calculate the greatest common divisor of 1036 and 93388. 148 What is the highest common factor of 56 and 498918? 14 Calculate the greatest common factor of 264 and 2794. 22 What is the greatest common factor of 119 and 434367? 17 What is the highest common divisor of 940730 and 16198? 1246 Calculate the highest common factor of 2005065 and 2295. 765 Calculate the greatest common factor of 4485 and 858. 39 What is the highest common factor of 902 and 1138? 2 What is the greatest common divisor of 53029 and 1520? 19 Calculate the greatest common divisor of 21 and 169456. 7 What is the highest common factor of 15330 and 42486? 438 Calculate the highest common divisor of 1820 and 4277. 91 What is the highest common factor of 1230 and 498? 6 Calculate the highest common factor of 343 and 930657. 49 What is the greatest common divisor of 140 and 237335? 35 Calculate the highest common divisor of 2154 and 90. 6 What is the highest common divisor of 360 and 14650? 10 Calculate the highest common factor of 630 and 56910. 210 What is the greatest common factor of 7215 and 390? 195 Calculate the highest common divisor of 398931 and 1378. 689 What is the highest common factor of 389145 and 15? 15 What is the greatest common factor of 34888 and 246568? 392 Calculate the greatest common divisor of 5137 and 101806. 467 Calculate the highest common divisor of 50373 and 7527. 579 What is the greatest common factor of 21120 and 31872? 384 What is the greatest common factor of 2508 and 12749? 209 Calculate the greatest common divisor of 25694 and 2146. 58 What is the greatest common divisor of 1638 and 7826? 182 What is the greatest common factor of 29790 and 360? 90 Calculate the highest common factor of 385 and 767515. 35 What is the greatest common factor of 25424 and 46308? 908 What is the greatest common factor of 2448 and 2571624? 1224 What is the highest common divisor of 137959 and 3699? 137 Calculate the highest common divisor of 455 and 1539720. 455 What is the greatest common divisor of 83997 and 536922? 1647 Calculate the greatest common divisor of 139812 and 15738. 366 What is the greatest common factor of 5888 and 18944? 256 Calculate the highest common divisor of 92979 and 441. 9 What is the greatest common divisor of 258243 and 354? 177 What is the greatest common divisor of 1450 and 39350? 50 Calculate the greatest common divisor of 696 and 131592. 24 Calculate the greatest common factor of 122 and 1478. 2 What is the highest common factor of 1440 and 23535? 45 Calculate the highest common factor of 16020 and 68. 4 Calculate the highest common divisor of 6200 and 7936. 248 What is the greatest common divisor of 101 and 15391289? 101 Calculate the greatest common divisor of 12 and 1772. 4 Calculate the highest common divisor of 12788 and 6716. 92 Calculate the highest common factor of 122655 and 11951. 629 What is the greatest common divisor of 6157 and 3
{ "pile_set_name": "DM Mathematics" }
e the lowest common multiple of 218822 and 7. 1531754 Find the common denominator of -9/1664 and -121/5856. 304512 What is the common denominator of 20/38883 and -35/174? 2255214 What is the common denominator of -15/212 and -149/1950? 206700 Calculate the lowest common multiple of 4944 and 181280. 543840 Calculate the least common multiple of 1 and 50707. 50707 Find the common denominator of 55/6741 and 48/27713. 249417 Calculate the common denominator of -121/120 and -119/32040. 32040 Calculate the common denominator of 121/3864 and -103/26145. 4810680 Calculate the least common multiple of 1262023 and 5. 6310115 Find the common denominator of -71/552 and 17/56856. 56856 Calculate the common denominator of -71/14784 and -149/10752. 118272 What is the least common multiple of 18 and 90294? 270882 What is the least common multiple of 5 and 12749? 63745 Find the common denominator of -61/112686 and 4/169029. 338058 What is the lowest common multiple of 7931 and 1442? 15862 Calculate the common denominator of -97/38114 and -53/1190. 1333990 Calculate the lowest common multiple of 2425 and 8730. 43650 Find the common denominator of -13/283668 and 76/70917. 283668 Find the common denominator of -47/15 and 67/4430. 13290 Calculate the common denominator of 149/42 and -125/19362. 19362 What is the smallest common multiple of 141527 and 11973? 5519553 What is the lowest common multiple of 333 and 1720389? 5161167 What is the common denominator of -101/152 and -139/19380? 38760 What is the least common multiple of 350560 and 666064? 6660640 What is the smallest common multiple of 120 and 10600? 31800 Find the common denominator of 59/3672 and -89/308448. 308448 Calculate the least common multiple of 326536 and 18. 2938824 What is the common denominator of 22/110035 and -31/4103? 1210385 Find the common denominator of -101/3480 and -169/9744. 48720 Calculate the smallest common multiple of 864 and 54. 864 Calculate the smallest common multiple of 178457 and 4. 713828 What is the smallest common multiple of 43248 and 4590? 1946160 Calculate the common denominator of 18/155 and -17/71052. 355260 Find the common denominator of 119/552 and -85/74928. 1723344 Calculate the common denominator of 61/1190 and -19/279650. 279650 What is the lowest common multiple of 149715 and 50? 1497150 What is the least common multiple of 192 and 483? 30912 Find the common denominator of -19/40 and 13/103100. 206200 Calculate the lowest common multiple of 134864 and 128. 1078912 Find the common denominator of -22/283 and 61/22945. 6493435 Calculate the least common multiple of 120055 and 11. 1320605 Calculate the common denominator of -109/11142 and -95/16. 89136 What is the smallest common multiple of 66164 and 21406? 727804 Calculate the lowest common multiple of 80 and 2300. 9200 What is the least common multiple of 9267 and 34? 315078 Calculate the lowest common multiple of 362 and 339737. 679474 Find the common denominator of -8/223377 and 35/26109. 2010393 Calculate the least common multiple of 354116 and 8. 708232 What is the common denominator of -139/96 and -73/6864? 13728 Calculate the common denominator of 79/20 and 71/29398. 293980 What is the least common multiple of 84 and 74122? 3113124 Calculate the smallest common multiple of 89298 and 248050. 2232450 Calculate the least common multiple of 219114 and 48692. 438228 Calculate the common denominator of 37/2115 and -37/39. 27495 What is the common denominator of -45/49 and -29/17591? 17591 Calculate the smallest common multiple of 119983 and 10. 1199830 Calculate the smallest common multiple of 1360 and 680. 1360 Find the common denominator of -52/11023 and -27/1241. 187391 Calculate the least common multiple of 99827 and 3291. 299481 What is the common denominator of 73/16 and -95/133506? 1068048 What is the common denominator of 19/286200 and -191/79500? 1431000 What is the lowest common multiple of 9372 and 6300? 4920300 Calculate the lowest common multiple of 24 and 19332. 38664 Calculate the smallest common multiple of 39923 and 279461. 279461 Calculate the common denominator of 169/60 and -89/427570. 2565420 What is the common denominator of 7/3384 and 31/88830? 355320 Find the common denominator of 149/9996 and -64/15. 49980 Find the common denominator of -25/1936 and 161/11616. 11616 What is the lowest common multiple of 585438 and 5? 2927190 Calculate the lowest common multiple of 5028 and 30168. 30168 What is the lowest common multiple of 7182 and 60? 71820 What is the lowest common multiple of 2394 and 3192? 9576 What is the lowest common multiple of 3684 and 1028? 946788 What is the smallest common multiple of 684 and 209304? 209304 What is the common denominator of 101/198 and 59/43296? 129888 Calculate the smallest common multiple of 2651 and 1320. 318120 What is the lowest common multiple of 28 and 748? 5236 Find the common denominator of 37/1614 and -59/34970. 104910 What is the smallest common multiple of 43017 and 42? 602238 Find the common denominator of -143/11970 and -137/2394. 11970 Calculate the common denominator of -151/4872 and -125/752304. 21816816 What is the least common multiple of 6861 and 1191? 2723817 Calculate the smallest common multiple of 512934 and 318. 512934 Calculate the common denominator of 159/72380 and -39/658. 72380 Calculate the common denominator of 65/835426 and -35/18. 7518834 What is the smallest common multiple of 14145 and 2760? 113160 What is the common denominator of 21/3200 and 47/5600? 22400 What is the common denominator of -73/3 and -9/12919? 38757 What is the least common multiple of 17582 and 38? 334058 Find the common denominator of -15/968 and 149/23232. 23232 What is the smallest common multiple of 5 and 115134? 575670 What is the lowest common multiple of 28998 and 12888? 115992 What is the least common multiple of 20571 and 18? 123426 Calculate the common denominator of 5/21 and -53/2193. 15351 What is the smallest common multiple of 4897 and 191? 935327 Find the common denominator of -179/90 and -101/2040. 6120 Calculate the common denominator of -173/750 and -71/17280. 432000 Calculate the common denominator of -25/1300892 and -67/8. 2601784 Find the common denominator of -101/1062 and 31/3672. 216648 Calculate the least common multiple of 32452 and 166896. 1168272 What is the least common multiple of 2650 and 29? 76850 What is the common denominator of -41/429066 and -23/429066? 429066 Find the common denominator of -41/10 and 27/5870. 5870 Calculate the common denominator of -10/57201 and -58/171603. 171603 Find the common denominator of -9/1351 and -93/8836. 11937436 Calculate the least common multiple of 37988 and 18. 341892 What is the common denominator of 77/72 and 85/136184? 1225656 Calculate the lowest common multiple of 488520 and 24840. 1465560 Calculate the least common multiple of 452078 and 6. 1356234 Calculate the least common multiple of 1177 and 715. 76505 Calculate the smallest common multiple of 20600 and 103000. 103000 What is the smallest common multiple of 70 and 11430? 80010 Calculate the least common multiple of 753710 and 3390. 2261130 Calculate the lowest common multiple of 63350 and 126700. 126700 Calculate the lowest common multiple of 748 and 14. 5236 Find the common denominator of -52/73 and -44/7189. 524797 Find the common denominator of 73/290122 and -83/1196. 7543172 Find the common denominator of -57/222052 and 47/516. 666156 What is the common denominator of -121/5600 and 39/668800? 4681600 Calculate the least common multiple of 1887 and 18870. 18870 Calculate the common denominator of 71/1449 and 86/8625. 181125 Calculate the smallest common multiple of 22918 and 62206. 435442 Calculate the smallest common multiple of 177210 and 2310. 1240470 Find the common denominator of 137/6 and -63/21746. 65238 Calculate the common denominator of -22/777 and -127/252. 9324 Calculate the common denominator of 83/666 and -97/28860. 86580 Find the common denominator of -57/28 and 157/5390. 10780 What is the lowest common multiple of 13524 and 828? 40572 What is the lowest common multiple of 213 and 65541? 4653411 Calculate the least common multiple of 84 and 14091. 56364 What is the common denominator of 11/492 and -109
{ "pile_set_name": "DM Mathematics" }
1)*(0 - 4 + 2) + 5*i**3 + 0*i**3 + 2*i**3. 11*i**3 Expand (-4*l**3 + 2*l**3 + 10*l**3)*(l + l + 3*l). 40*l**4 Expand -10*t**5 + 10*t**5 + 14*t**5 + (0*t - 2*t + 0*t)*(-4*t**4 - t**4 + 3*t**4) + 2*t**5 + 3 - 3. 20*t**5 Expand (1 - 1 + 1 - 2*u**3)*(-3*u**2 - 6*u**2 + 3*u**2) + (u + 0 + 0)*(-u**4 + u**4 + 2*u**4). 14*u**5 - 6*u**2 Expand (-3*k + 2*k + 0*k)*(-4*k**4 + k**4 + 2*k**4) - 1 + 1 + k**5 + 3*k**5 - 5*k**5 + 3*k**5. 3*k**5 Expand -2*t**3 - 6*t**3 + 15*t**3 + 0*t + 0*t - t**3 + (2 - t - 2)*(-4*t**2 + t**2 + 4*t**2). 5*t**3 Expand -7*g**4 - 279*g**3 + 279*g**3 + (g**2 - g**2 + g**4)*(-5 + 1 + 2). -9*g**4 Expand (-10 - 2*l - l + 8)*(0*l - l + 0*l). 3*l**2 + 2*l Expand (-62 + 11*i + 62)*(-i**4 + 2 - 2)*(0 + 2 - 4). 22*i**5 Expand k**5 - k + k + (-3 + 3 + 2*k**5)*(1 - 3 + 0) - 2*k**5 + 3*k**5 - 22*k + 8*k. -2*k**5 - 14*k Expand (-9 + 6 - 2)*(3*y - y - y)*(2 - 2 - 2*y). 10*y**2 Expand (1 - 2 - 2)*(-6*f**2 + 11*f**2 - 12*f**2). 21*f**2 Expand -26*o - 10*o + 21*o + (1 + 1 - 1)*(2*o - o + 0*o). -14*o Expand 0*l**4 - l**4 + 2*l**4 + (2*l**2 - 2*l**2 + l**2)*(l**2 - l**2 - 2*l**2) + (1 - 3 + 0)*(-12*l**4 - l**4 + 3*l**4). 19*l**4 Expand (-7 + 0 + 1)*(2*q**2 - 2*q + 2*q + q**4). -6*q**4 - 12*q**2 Expand (-3*r**3 + 2*r**3 - r**3)*(1 - 3 + 0 - 1 + 2 - 3 + (1 + 0 + 0)*(-1 + 5 - 2) + 5 - 4 - 5). 12*r**3 Expand -5*h**5 - 2*h**5 + 5*h**5 + (2*h**4 + 2*h**4 - 2*h**4)*(-h + 2*h + h) + h**5 - h**5 + 4*h**5 - h**2 + h**2 + 2*h**5. 8*h**5 Expand (0 + 0 + 1)*(5 + 0 - 3)*(-1 + 1 - y - 2). -2*y - 4 Expand (-8*m**3 + 19*m**3 - 9*m**3)*(-m - 26 + 26). -2*m**4 Expand (y**3 + 0*y**3 + 0*y**3)*(-2*y**2 + 5*y**2 - 4*y**2) - y**5 + y**5 - 8*y**5. -9*y**5 Expand (3 + b - 3)*(b - b + 2*b) + 2*b**2 - 3*b**2 + 3*b**2 + 2*b**2 + 4*b - 4*b + (1 - 6 + 3)*(-2*b**2 + 3*b**2 - 2*b**2) - 2*b**2 - 4 + 4. 6*b**2 Expand (0*x**3 + 0*x**3 - 2*x**3 + (1 - 4 + 5)*(-2*x**3 + 0*x**3 + 0*x**3) + 0*x**3 - 3*x**3 + x**3 + 6*x**3 - 12*x**3 - 8*x**3)*(-3*x**2 - 4*x**2 + 4*x**2). 66*x**5 Expand (2*g - g + g)*(2*g + 4 - 4) + (-2 - 6 + 2)*(2*g**2 - g**2 - 2*g**2) + 3*g**2 - g**2 - 3*g**2. 9*g**2 Expand -2*l**3 + 0*l**3 - l**3 + l**3 + l**3 - 4*l**3 + (-3 + 3 + l)*(-3*l**2 - 2*l**2 + 3*l**2) + (l**2 - l**2 - 5*l**2)*(-l + 3*l + 0*l). -17*l**3 Expand (v - 2*v + 3*v)*(-3*v + 6*v + 2*v). 10*v**2 Expand (-2 + 5 - 4)*(3*i**2 - 4*i + i**2 - i**2). -3*i**2 + 4*i Expand (-2*n + 8*n + 6*n)*(-1 - 3 + 3). -12*n Expand -y**5 - 3*y**5 + 2*y**5 + 48*y + 11*y**5 - 48*y + (-4 + 4 + 2)*(5*y**5 - 4*y**5 + 0*y**5). 11*y**5 Expand (c + 2*c + 0*c + 2*c**3)*(-c + 3 - 3). -2*c**4 - 3*c**2 Expand (-3*o - o**2 + 3*o)*(-1 - o**2 + 1) - 25 - 6*o**4 + 25. -5*o**4 Expand (1 - 2 + 7)*(-4*c - c + c). -24*c Expand (5*h - 2*h + h)*(4*h - 5*h + 2*h + (-3 + 5 - 4)*(h + 0*h + 0*h) - 4*h + 2*h + 4*h + 2*h + 2 - 2 + (6 + 1 - 5)*(-3*h + h + h)). 4*h**2 Expand 3*a**5 + 2 - 2 + (-3 + 3 - 1)*(-63*a**5 - 59*a**5 + 98*a**5). 27*a**5 Expand (-6 + 0 + 4)*(-3*a + 0*a + 0*a) + 4*a - 4*a + 3*a. 9*a Expand (-5*f**2 + 0*f**2 + 4*f**2)*(2 - 5 + 1)*(-5*f + 5*f - 2*f**2). -4*f**4 Expand (-5 + 1 + 2)*(-3*w + 3*w + 2*w)*(29*w - 34*w + 45*w). -160*w**2 Expand (-16*o**2 - 20*o + 20*o)*(-2*o**3 + 2*o**3 + o**3). -16*o**5 Expand (5 + 2 - 4)*(-3 - 5*l**2 + 3). -15*l**2 Expand (-1 - 2 + 8)*(0 - r**2 + 0)*(r**3 + 2*r**3 + 0*r**3). -15*r**5 Expand (3 + 2*p - 3)*(0 + 2*p**2 + 0) + 2*p**3 - 2*p**3 + p**3 - 2*p**3 + p**3 + 0*p**3 + 140*p**3 - 26*p**3 - 4*p**3. 114*p**3 Expand (5*b - 3*b - 3*b)*(-3*b**2 + 2*b + 8 - 8 + (-3*b + 4*b - 2*b)*(3*b + 0*b - 2*b) + 0*b**2 - 2*b**2 + 0*b**2). 6*b**3 - 2*b**2 Expand -3*k - 3*k + 5*k + 0*k - 2*k + 3*k + (k - 3*k + k)*(-1 + 2 - 3) + k - 3*k + k - 1 + 1 + 2*k + (5 - 7 - 8)*(k + 3*k - 3*k). -7*k Expand -2*y - 2*y + 6*y + (-2*y + 3*y - 2*y)*(-2 + 3 + 0) - 1 + 1 - 2*y + 0*y + 3*y - 5*y - 2*y - 1 + 1. -5*y Expand a**2 - 2*a**2 + 2*a**2 + (3*a + 2*a - 3*a)*(-a + 3 - 3) - 2*a**2 + 0*a**2 + 0*a**2 + 9*a**2 + 0 + 0. 6*a**2 Expand (1 - 5*d + 4*d + 3*d)*(-2*d - 4*d + 4*d). -4*d**2 - 2*d Expand (u - u - u)*(1 + 3 - 1) - 8*u - 4*u + u. -14*u Expand -q**2 + q**2 + 2*q**2 + (-q**2 - 3 + 3)*(-2 + 3 - 2) - q**2 + q**2 + q**2. 4*q**2 Expand ((2 + 2 - 2)*(0 + 2 - 3) - 7 + 2 - 4)*(0*n + n + n). -22*n Expand (0*r**4 + 2*r**4 - 3*r**4)*(3*r + 0*r - 4*r) + 2*r**5 + 2*r**5 - 3*r**5 + (-2*r**3 - 3*r**3 + 3*r**3)*(-2 + 2 - 2*r**2) + r**5 + 2*r**5 - r**5. 8*r**5 Expand (t + 3*t + 4*t)*(4*t + t - t - t - 2*t + 2*t + (-2 - 2 + 5)*(3*t + t - 5*t)). 16*t**2 Expand (-5*o**3 - 7*o + 7*o)*(3 - o - 3) + 2*o**4 + o**4 - 2*o**4. 6*o**4 Expand (-n**2 + 2*n**2 + 0*n**2)*((0 - 3 + 6)*(-2*n + n + 0*n) - 101*n + 45*n + 31*n). -28*n**3 Expand (b + 5*b + 2*b**4 - 2*b)*(2*b + 6*b - 5*b). 6*b**5 + 12*b**2 Expand 2*p**4 + 4*p**4 - 4*p**4 + (0 - 29 + 3)*(5*p**4 - 3*p**4 - 2*p**2 + p**2). -50*p**4 + 26*p**2 Expand 1 - 1 - 7*f**3 + 0*f + 2*f**3 + 0*f + (f - 4*f + f)*(-3*f**2 - f**2 + 3*f**2) + 0*f**3 + 0*f**3 + 2*f**3 + 4*f**3 - 2*f**3 + 0*f**3 - 2*f**2. f**3 - 2*f**2 Expand (2*b**3 - 2*b**3 - 2*b**3)*(-b**2 + 3*b**2 + 0*b**2) + b**5 + 0*b**5 + b**5 + (-1 + b**5 + 1)*(-3 + 0 - 1). -6*b**5 Expand (15 - 15 - 4*f)*(3 + 5 - 4). -16*f Expand -q**3 - 3*q**3 + 2*q**3 - 15*q**2 + 5*q**3 + 15*q**2 + (q**2 - 3*q**2 - q**2)*(-2*q - 3*q + 3*q) + 0*q**3 + 3*q**3 - 4*q**3 - q**3 + 4*q**3 - 2*q**3. 9*q**3 Expand (1 + 2 + 1)*(2 + 8*o - 4 - 13*o). -20*o - 8 Expand (k - 2*k - k)*(5*k - 2*k - 2*k) + (3*k + 0*k - 2*k)*(7*k + 3*k - 4*k) - k**2 - k**2 + k**2. 3*k**2 Expand 2*s + 2*s**2 - 2*s + ((-2 + 2 - 2*s)*(-4 - 1 + 4) - s + 2 - 2)*(-4*s + 5*s + s). 4*s**2 Expand (5 - 3 + 1)*(g - g - 7*g) + (-4 + 3 - 1)*(0 - 2*g + 0). -17*g Expand (9 + 5 + 1)*(r + 3 - 3) - 2*r - 5*r + 4*r. 12*r Expand q + 1 - 1 + (0 + 2 + 0)*(3*q - 2*q - 2*q) - q - 2*q + 0*q + (1 + 3 + 1)*(-q + q - q). -9*q Expand (0*o**3 + 0*o**3 + 2*o**3)*(o**2 + 17*o**2 - o**2). 34*o**5 Expand (1 - 2 + 2)*(2 - 7 + 6)*(-4 + 3 + 2)*(u - 2 + 2). u Expand -4 + 4 + 2*a**2 - 5*a**2 + 2*a**2 + a**2 + 5*a**2 - 3*a**2 + 0*a**2 + (0*a - 2*a + 4*a)*(-a + 3*a - a) + 2*a**2 - 2*a + 2*a + a**2 - 4*a**2 + 7*a**2. 10*a**2 Expand (2*s**2 - 2*s**2 + 3*s**3)*(6 - 3 - 2)*((-1 - 2 + 2)*(s - 1 + 1) + 0*s - s + 0*s + 8*s - 2*s + 0*s). 12*s**4 Expand (3*z**3 - 4*z**3 - z**3)*(-2*z**2 + 5*z**2 - 2*z**2) + z**5 + z**5 - 3*z**5 - 2*z**5 - 2*z**5 + 2*z**5 + 2*z**5 - 5*z**2 - 4*z**2 + 0*z**5. -3*z**5 - 9*z**2 Expand (12 - u - 5 + 2*u)*(0 + 1 + 0) + (2 - 2 + 1)*(-1 - 2*u + 1) + 0 + 0 - 2*u. -3*u + 7 Expand (25 + 30 - 45)*(-r**3 + 2*r**3 - 2*r**3). -10*r**3 Expand (-3*a**2 + 0*a**2 - a**2)*(2 + 3*a**2 - 2 + 2*a)*(5*a - 4*a + 2*a). -36*a**5 - 24*a**4 Expand (-6 + 2 + 3)*(-2 - 3 + 3)*(5*q**3 + 2*q**5 - 5*q**3). 4*q**5 Expand z - 4*z**5 + z + 7*z**5 + 3*z**3 + 3*z**5 - 3*z**3 - 3*z**5 + 3*z**5 + 2*z**5 + (-3*z**5 + 4*z**5 + z**5)*(1 - 3 + 3) - 2*z**4 + 2*z**4 - 2*z**5. 8*z**5 + 2*z Expand (0 + 0 - 1)*(-4 + 2*t + 4) - t - t + 3*t + 1 - 1 + t + (0 + t + 0)*(2 + 3 - 7). -2*t Expand -2*a + 3 - 3 + 0 + 0 - a + (-4 + a + 4)*(-4 + 4 - 2) + 588 + 42*a - 588. 37*a Expand (-5*p**2 + 47 + 3*p**2 + 0*p**2 + 2*p)*(4*p - 4*p + 2*p). -4*p**3 + 4*p**2 + 94*p Expand 2*b**3 - 2*b**3 + b**3 + (3 + 1 + 0)*(0 + 1 - 2)*(0*b**3 + b**3 - 2*b**3). 5*b**3 Expand (-5*t + 3*t + t)*(770 - 770 + 46*t**3). -46*t**4 Expand (1 + 1 - 1)*(-125*k + 4 - 5 + 114*k). -11*k - 1 Expand 2*d**5 - 2*d**5 + 3*d**5 + (4 - 4 + 2*d)*(2*d**4 - 2*d**4 + d**4) + 0*d**4 + 0*d**4 - 4*d**5. d**5 Expand (3*b - 2*b + 0*b)*(3*b - 31*b - 2*b)*(0 - 3 + 2 - 2 + 0 + 3 + (-3 + 1 + 4)*(0 - 5 + 4) - 6 + 3 + 4 - 4 + 2 + 4 + (-3 + 3 - 2)*(-1 + 4 - 1)). 90*b**2 Expand (4 - 4 + 2*z)*(-4*z - 4*z + 17*z) + (4 - 4 - 2*z)*(-2*z + 3*z - 2*z) - 3*z**2 + 5*z**2 + z**2. 23*z**2 Expand (n**2 - 2*n**2 + 0*n**2)*(7*n + 4*n - 8*n). -3*n**3 Expand (3*f**2 + 0*f**2 - 5*f**2)*(-2*f + 4*f - f)*(4 - 4 - 6*f). 12*f**4 Expand q + 2*q**4 - q + 4*q**4 + 0*q**4 - 3*q**4 + (q + 2*q**2 - q)*(q**2 + q**2 - q**2) + 17*q**4 - 12*q**4 + 10*q**4 + (4 - 4 - 2*q)*(-q**3 - 4*q + 4*q). 22*q**4 Expand (3*d**3 - 2*d**3 + 0*d**3)*((4 + 1 - 3)*(0 + 0 + 2) - 5 + 3 + 1 + 4 - 2 - 3). 2*d**3 Expand -j**3 + j**4 + j**3 + (0*j**3 - 3*j**3 - j**3)*(2*j - 2 + 2). -7*j**4 Expand (0 + o**2 + 0)*(-o + 2*o + 0*o) - 26*o**2 + 26*o**2 - 6*o**3. -5*o**3 Expand (-z**4 + 5*z**4 - 5*z**4)*(
{ "pile_set_name": "DM Mathematics" }
68 Suppose -3*o - z + 1 = 2, -z = 2*o + 2. Suppose -12*q + 1188 = 54*q. Calculate the smallest common multiple of q and -2 + 23 + (0 - o). 180 Calculate the common denominator of (-1935)/1512 - (70/49 - 1) and -44/7. 168 Suppose -276*c - 2304 = -260*c. Calculate the lowest common multiple of 30 and (c/21)/(((-10)/7)/5). 120 Suppose 95949 = 5*b - 6*u - 98499, -4*u = 12. What is the lowest common multiple of 11 and b? 427746 Calculate the common denominator of -99/130 and -9 - (-18 + 5758/624). 1560 Let g = 32071/18 - 10741/6. Calculate the common denominator of 1/9*(-188)/(-44) and g. 99 Let s be ((-6861)/(-12))/(108351/167430). Let g = 2/36117 + s. Let p = g + -839. What is the common denominator of 1/10 and p? 10 Let o = 29536 + -7183. Calculate the lowest common multiple of 11 and o. 245883 Suppose 0 = -7*h - 5*h + 240. Suppose 3*z - 54 = -4*a, 4*a + z = 78 - h. What is the least common multiple of 8 and a? 120 Suppose -2*i - 2*w = -136, 0 = -5*i - 3*w + 431 - 101. Suppose -f + i = 4*p, 4*p + 17 = -4*f + 77. What is the smallest common multiple of p and 10? 80 Let w = 6891/49 - 981/7. Let j = -2/3377 + -138345/189112. Calculate the common denominator of j and w. 392 Find the common denominator of 11/(-44)*-32 + -2*870/96 and -25/873. 6984 Let s(t) = 5*t + 117. Let h be s(-12). Calculate the common denominator of ((-19)/h)/((-18)/21) and (2/14)/(4/(-62)). 126 Let v = -4173093/402232 - -1420/137. Calculate the common denominator of v and 25/88. 32296 Suppose -4 = 3*z - 1. Let v(d) = 8*d**2. Let a be v(z). Suppose 0 = -i - 0*i + a. What is the smallest common multiple of i and 12? 24 Suppose -4*x = -5*z - 1073, 25*z + 4*x = 26*z + 221. Let f = -183 - z. Calculate the least common multiple of 15 and f. 30 Let d be (-5)/(-30) - 8621/66. Let c = d + 18891/154. Calculate the common denominator of c and (-146)/(-16)*1 - -2. 56 Suppose -z - 12 - 10 = -4*y, y - z = 10. Calculate the least common multiple of 15/(-10)*(-244)/6 and y. 244 Suppose -89 = -3*q + 4*u, u + 177 = 5*q + 40. Calculate the smallest common multiple of q and 429. 3861 Find the common denominator of 65/2284 and (-334740)/52920 - (-1)/(18/2). 15988 Let y(q) = -3*q**3 + 18*q**2 - q + 8. Let l be y(8). What is the least common multiple of 104 and 1/(-3) - 6272/l? 208 Suppose 244 = j - 4*x, 3*j - 3*x + 6*x - 762 = 0. Suppose -63 = -7*a + j. Calculate the smallest common multiple of 72 and a. 360 Let h(t) = 4*t**3 - t**2. Let c be h(-1). Calculate the common denominator of 69/58 and c - ((-7)/(-42))/(3/(-411)). 174 Let p = -570 - -571. Calculate the common denominator of 9/1078 and 1/(0 - p) + (-3355)/220. 2156 Let y = 226183/12 - 18856. Let a = -2/4573 - 2254469/45730. Let d = a + 2783/60. Find the common denominator of y and d. 12 Let m = -123 - -117. What is the common denominator of -2 + 5 - (-50)/m and -40/391? 1173 What is the common denominator of 6 + 23/966*(-5508)/20 and -95/112? 560 Let j = -2688 - -3117. What is the least common multiple of 78 and j? 858 Suppose 0 = 33*a - 131 - 34. Calculate the common denominator of (-340)/(-504) + a/45 and ((-3)/(-216))/(2/(-532)). 252 Let i = 335 + -173. Let k = -56251 + 56256. Calculate the lowest common multiple of k and i. 810 Let y = 12228 + -244509/20. What is the common denominator of -89/1880 and y? 1880 Suppose 4*s - 43 = -v + 6*v, 0 = -4*s - 5*v + 13. Calculate the lowest common multiple of (-281)/(-843)*3*37 and s. 259 Let g(j) = -j + 9. Let x be g(5). Suppose h + 2 - x = 0. Calculate the common denominator of (h/(-18))/(20/678) + 3 and -25/21. 210 Let b = 3978 - 107378/27. Find the common denominator of b and 41/5 - (-15)/((-25)/(-5)). 135 Calculate the least common multiple of 114072/168 - (-2)/(-4)*-14 and 2450. 17150 Find the common denominator of -65/6 and 17 + (26858894/(-83145))/19. 7230 Calculate the common denominator of 67/184 and (-10 - (3 + -3)) + (-5766468)/(-578496). 48208 Let k = 458571581/73830 - 142858/23. What is the common denominator of -109/6 and k? 3210 Let h(q) = -275*q + 10. Let o be h(-6). Suppose -9*g + 4*g + o = 0. What is the lowest common multiple of 16 and g? 1328 Let g = 14 + 1. What is the least common multiple of g and ((-22)/(-330)*-5)/(502/126 + -4)? 105 Let b be 29/108*(-3)/(-28654)*-2. Let k = -94122200011/12894300 + b. Let g = -7301 - k. Find the common denominator of 45/7 and g. 175 What is the common denominator of 17/4680 and (-1148)/(-1080)*11/(1848/(-36))? 4680 Let x = -8789/43020 - 3/2390. Calculate the common denominator of 47/774 and x. 7740 Let a(w) = -2*w**3 - 11*w**2 + 4*w + 33. What is the smallest common multiple of 24/40 + 177/5 and a(-6)? 180 Let c be (9/(9/(-4)))/(4/(-10)). What is the common denominator of 79/12 and (-365)/6*c/100? 12 What is the smallest common multiple of (4095/(-520))/((-4)/32) and 1407? 4221 Let v = -5/1207 + 37462/10863. Find the common denominator of v and 103/204. 612 Let y be (-1640)/(-15) + (-10)/(-15). Let z = 143 - y. What is the smallest common multiple of 3 and z? 33 Let s = -70501/12980 + -12/649. Let w = -21089/1212 + -106/303. Find the common denominator of s and w. 20 Let y(w) = -2*w**2 + 48*w + 7. Let r be y(25). Let o = r + 53. Let b = 64 + -56. Calculate the smallest common multiple of o and b. 40 Let h = 68 + -66. Suppose -3*i + q + 5 = -q, 2*q = -h. Suppose 0 = 4*z, -5*g - i + 6 = 5*z. What is the lowest common multiple of g and 14? 14 Let f = 157 - 381/2. Calculate the common denominator of f and ((-9)/15 - (-8277)/(-1602)) + 8 + 1. 30 Suppose -147 = -5*y + 4*h - 5*h, -2*h + 54 = 2*y. Let n = -2132 - -2110. Let c = n + y. What is the lowest common multiple of c and 9? 72 Let q = 532 - 768. Let p = -205 - q. What is the lowest common multiple of p and 5? 155 Let g = 238/1927 + 164439/431648. Find the common denominator of 87/32 and g. 224 Let j = 919 - 917. What is the common denominator of (j/(-5))/((-528)/45) and -17/88? 88 Let l = 540 - 554. Calculate the common denominator of 115/126 and 219/(-72)*(5 - (-66)/l). 252 Let m = 40163 - 17795. Let c be (-4)/(-10) + m/80. Calculate the least common multiple of (-116)/(-7) - 160/c and 20. 80 Suppose -4*k - 2*c + 124 = 0, -4*c = k - 2*k + 22. Let w be (-11)/(-3) + -3 + 16567/k. Let t = w + -552. What is the common denominator of 63/50 and t? 50 Let h = 8414 + -8384. What is the least common multiple of 1152 and h? 5760 Let u = 933 + -885. Calculate the lowest common multiple of u and 30. 240 Let r = 9604284/259 - 37082. What is the common denominator of r and -13/7? 259 Let g(f) = 19*f - 9. Let u(q) = -1. Let k(v) = -g(v) + 4*u(v). Let n(w) = -w**2 + 10*w - 10. Let t be n(9). What is the lowest common multiple of k(t) and 18? 72 Let g(z) = z**3 + 12*z**2 - 13*z - 29 + 19 - 15*z. Let a be g(-14). What is the least common multiple of (-176)/20*a/4 and 10? 110 Suppose -2 = 4*r + 4*l - 10, 0 = -r - 2*l - 3. Suppose -52*v + 80*v - 980 = 0. Calculate the least common multiple of r/v + (1 - (-27)/15) and 9. 9 Let h = -292 + 180. Find the common denominator of 13/44 and 20/70 - (-1026)/h. 88 Suppose 0 = -p + 33 - 4. What is the common denominator of (2042/(-252))/(-1) - (-3)/27 and p? 14 Let h be (6 - 5)*3*4. Let v = -37/8 - -3/8. Find the common denominator of v and (-3)/h*11/3. 12 Suppose 0 = -70*i + 80*i + 4050. Calculate the common denominator of -39/22 and ((-8)/(-66))/(18/i). 22 Suppose 7*l = -15 + 36. What is the common denominator of l + 4/72*-68 + 2 and -35/6? 18 Suppose -21*c + 19*c = 4*y - 84, 5*y - 105 = -3*c. Calculate the lowest common multiple of (0 + -22)/((-16)/24) and y. 231 Let d = -1460 - 3141. Let h = d + 78271/17. Find the common denominator of (-1)/(-6) - 0 - (-209)/66 and h. 51 Suppose 4*y = -3*v - 7, -39*v + 5*y = -34*v - 70. What is the lowest common multiple of v and 267? 1869 Let q be ((-41865876)/(-4653))/(-12) - (-12)/2. Let i = 8190/11 + q. Find the common denominator of -26/9 and i. 423 Suppose -15*b - 2255 = -10*b. Let k = b - -463. What is the least common multiple of k and 34? 204 Suppose -41*d - 50 = -51*d. Suppose 0*j = t + d*j - 103, -5*j = 4*t - 337. Calculate the lowest common multiple of t and 2. 78 Let o = 3834 + -3068. Calculate the lowest common multiple of 16 and o. 6128 Let b be (186/(-28))/(7/(2464/(-12))). Let w = b + -13367/70. Calculate the comm
{ "pile_set_name": "DM Mathematics" }
012 What is the smallest common multiple of 27837 and 5? 139185 Calculate the common denominator of 8/387 and 151/261096. 783288 What is the common denominator of -31/2740 and 33? 2740 What is the common denominator of -139/6 and -25/5931? 11862 Find the common denominator of -101/119948 and 25/191. 119948 Calculate the smallest common multiple of 172 and 4985. 857420 Calculate the lowest common multiple of 442381 and 3. 1327143 What is the common denominator of 19/71100 and 31/135090? 1350900 Calculate the least common multiple of 22750 and 2177. 7075250 What is the smallest common multiple of 588 and 1029? 4116 Find the common denominator of -55/2 and 97/9148. 9148 Find the common denominator of -19/6 and 7/16472. 49416 Calculate the smallest common multiple of 152992 and 43712. 305984 Calculate the least common multiple of 201005 and 804020. 804020 What is the common denominator of 181/1200 and -19/25? 1200 Calculate the lowest common multiple of 4 and 127263. 509052 Calculate the least common multiple of 2 and 105464. 105464 Calculate the least common multiple of 84 and 38505. 1078140 What is the common denominator of -7/27 and 56/31905? 95715 Calculate the least common multiple of 66472 and 504. 598248 What is the smallest common multiple of 1290 and 1140? 49020 Find the common denominator of -38/112115 and 97/179384. 896920 What is the smallest common multiple of 1205552 and 20? 6027760 Calculate the lowest common multiple of 22 and 149240. 1641640 Find the common denominator of 5/147 and 50/153. 7497 What is the lowest common multiple of 6 and 78516? 78516 Calculate the common denominator of -23/2498 and 29/138. 172362 What is the common denominator of -151/8970 and 29/14352? 71760 What is the common denominator of -143/2040 and -99/4760? 14280 Calculate the common denominator of 83/3500 and -137/9100. 45500 Calculate the common denominator of 7/319302 and -45/8. 1277208 Find the common denominator of 23/104 and -5/405498. 21085896 Calculate the common denominator of 46/95165 and -11/8. 761320 Calculate the lowest common multiple of 1523 and 4569. 4569 Calculate the common denominator of -119/20 and -131/75276. 376380 Find the common denominator of -133/14850 and -39/44. 29700 Calculate the common denominator of 9/16 and 23/125868. 503472 What is the least common multiple of 450 and 1553175? 3106350 What is the common denominator of 67/940320 and -38/75? 4701600 Calculate the lowest common multiple of 336 and 1932. 7728 What is the common denominator of -67/202640 and 123/50? 1013200 Calculate the common denominator of 13/4548 and 85/96. 36384 Calculate the least common multiple of 18486 and 117. 18486 Find the common denominator of -40/7 and -34/1109. 7763 Find the common denominator of 179/870 and 131/12660. 367140 What is the smallest common multiple of 1756464 and 71484? 12295248 What is the lowest common multiple of 6810 and 15? 6810 Calculate the smallest common multiple of 86 and 1848. 79464 Find the common denominator of 5/154343 and -69/476. 617372 Calculate the common denominator of 28/8747 and -73/12. 104964 What is the smallest common multiple of 11451 and 57? 217569 Calculate the smallest common multiple of 2328 and 64. 18624 What is the least common multiple of 9880 and 50? 49400 Calculate the smallest common multiple of 11020 and 638. 121220 Calculate the least common multiple of 16 and 62516. 250064 What is the smallest common multiple of 16 and 60732? 242928 Calculate the common denominator of -7/108 and -99/10244. 276588 What is the smallest common multiple of 6762 and 735? 33810 What is the common denominator of -35/21223 and 62/30159? 573021 Calculate the common denominator of -103/26700 and -25/3916. 293700 Calculate the smallest common multiple of 17946 and 1602. 1597194 What is the common denominator of -35/24414 and -61/52? 48828 What is the lowest common multiple of 504 and 2466? 69048 What is the common denominator of 33/721 and -2/515? 3605 Find the common denominator of 83/184 and -9/5488. 126224 Find the common denominator of -37/13275 and 117/590. 26550 Calculate the common denominator of 47/13242 and -38/63. 278082 What is the least common multiple of 18202 and 57? 54606 What is the lowest common multiple of 16 and 5936? 5936 What is the lowest common multiple of 3000 and 1520? 114000 What is the smallest common multiple of 14175 and 378? 28350 Find the common denominator of -127/49504 and 59/144. 445536 Find the common denominator of -31/153378 and -95/2. 153378 Calculate the common denominator of -43/81 and -73/1221804. 1221804 What is the common denominator of -49/1796962 and -97/2? 1796962 Find the common denominator of -107/1428 and 64/51. 1428 Calculate the lowest common multiple of 42 and 45615. 638610 Calculate the common denominator of 61/7482 and 40/61103. 366618 What is the common denominator of -33/49 and 41/16100? 112700 Calculate the common denominator of 103/30 and -155/9834. 49170 What is the common denominator of -5/2457 and 55/16107? 144963 Find the common denominator of 149/43056 and 95/864. 258336 What is the common denominator of -121/30930 and -83/68046? 340230 Calculate the smallest common multiple of 3126 and 5. 15630 Calculate the smallest common multiple of 20498 and 12. 122988 What is the common denominator of 73/1302 and 59/1596? 49476 Find the common denominator of 41/1906 and 1/102924. 102924 Find the common denominator of 93/81938 and -28/5. 409690 Calculate the lowest common multiple of 4725 and 175. 4725 Find the common denominator of -81/7030 and -119/21090. 21090 What is the common denominator of 109/312 and -149/9768? 126984 Find the common denominator of 109/23660 and 77/1950. 354900 What is the smallest common multiple of 6552 and 3192? 124488 What is the common denominator of 5/51 and 79/67413? 1146021 Calculate the least common multiple of 28 and 270548. 1893836 What is the common denominator of -71/473472 and -74/18495? 2367360 What is the common denominator of 47/9 and -47/25452? 25452 Calculate the smallest common multiple of 29241 and 22743. 204687 Calculate the lowest common multiple of 19 and 10164. 193116 Find the common denominator of 50/2409 and 40/657. 7227 Find the common denominator of -35/143126 and 31/24. 1717512 What is the least common multiple of 309720 and 12? 309720 What is the least common multiple of 12690 and 540? 25380 Calculate the smallest common multiple of 1557 and 9. 1557 What is the smallest common multiple of 4 and 1317124? 1317124 Find the common denominator of -64/20271 and -37/174. 40542 What is the smallest common multiple of 243606 and 155022? 1705242 Find the common denominator of 43/18 and 107/126630. 126630 What is the common denominator of 61/2 and -139/12220? 12220 Calculate the smallest common multiple of 134480 and 11. 1479280 Calculate the common denominator of -79/3770658 and 8/7. 26394606 What is the common denominator of -73/14 and -5/329581? 659162 What is the least common multiple of 14004 and 126036? 126036 What is the smallest common multiple of 80 and 98760? 197520 Calculate the least common multiple of 36 and 56. 504 What is the least common multiple of 69 and 1794? 1794 Find the common denominator of 5/53034 and -35/53034. 53034 What is the common denominator of 12/30307 and 29/11? 333377 Calculate the common denominator of 101/3045 and -69/290. 6090 Calculate the lowest common multiple of 19 and 5176. 98344 What is the common denominator of 56/65 and 52/242615? 3153995 What is the common denominator of -7/1800 and -103/252? 12600 Calculate the lowest common multiple of 55 and 30921. 154605 Find the common denominator of 75/476 and -15/13. 6188 What is the lowest common multiple of 941114 and 12? 5646684 Calculate the common denominator of -97/4 and 67/2032782. 4065564 Calculate the common denominator of 17/6825 and 73/12600. 163800 What is the common denominator of -109/96544 and 67/4310? 482720 Calculate the common denominator of -149/5329830 and 53/26. 69287790 Calculate the smallest common multiple of 2744 and 3612. 353976 What is the lowest common multiple of 57856 and 40? 289280 What is the lowest common multiple of 200 and 2200? 2200 What is the least common multiple of 14080 and 8960? 98560 What is the
{ "pile_set_name": "DM Mathematics" }
n divisor of 1598 and 11526. 34 What is the highest common factor of 539 and 11221? 49 What is the greatest common divisor of 117 and 29523? 39 What is the highest common divisor of 21027 and 129? 129 What is the highest common divisor of 4482 and 16102? 166 Calculate the greatest common divisor of 56574 and 28. 14 Calculate the greatest common factor of 7075 and 225. 25 Calculate the highest common divisor of 84 and 146244. 84 Calculate the greatest common divisor of 971 and 2504209. 971 Calculate the greatest common factor of 4 and 612428. 4 What is the highest common divisor of 64 and 23568? 16 What is the highest common divisor of 1052750 and 1250? 250 Calculate the highest common factor of 9676 and 36900. 164 What is the greatest common factor of 1062 and 230218? 118 What is the highest common factor of 105 and 172060? 35 What is the greatest common factor of 352 and 18384? 16 What is the highest common factor of 12042 and 24? 6 Calculate the highest common factor of 43 and 512689. 43 What is the greatest common divisor of 4122 and 6480? 18 What is the highest common divisor of 1897234 and 574? 82 Calculate the greatest common factor of 1614393 and 23. 23 Calculate the greatest common factor of 1039470 and 30. 30 Calculate the greatest common factor of 847 and 51359. 77 What is the highest common divisor of 2870 and 97006? 574 What is the greatest common factor of 4 and 4998? 2 Calculate the greatest common divisor of 400 and 470960. 80 Calculate the highest common factor of 376317 and 9. 9 What is the greatest common factor of 140096 and 20696? 1592 Calculate the greatest common divisor of 842215 and 110. 55 What is the greatest common divisor of 343 and 9653? 49 What is the greatest common divisor of 24047 and 1211? 173 What is the greatest common divisor of 917 and 3016275? 131 What is the highest common factor of 7820 and 20060? 340 What is the highest common factor of 257460 and 1680? 420 Calculate the greatest common factor of 202 and 153722. 202 Calculate the greatest common divisor of 4740 and 3240. 60 Calculate the highest common divisor of 1384 and 945964. 692 What is the highest common factor of 36 and 50103? 9 What is the highest common factor of 95023 and 334? 167 What is the highest common divisor of 248 and 29791? 31 Calculate the greatest common divisor of 44592 and 48. 48 Calculate the highest common factor of 10580 and 19780. 460 Calculate the greatest common divisor of 16882 and 138. 46 What is the highest common factor of 24817 and 368? 23 What is the greatest common factor of 144 and 7749? 9 What is the highest common divisor of 965 and 75077? 193 Calculate the greatest common divisor of 2220 and 24060. 60 What is the highest common divisor of 1298 and 34397? 649 Calculate the highest common divisor of 4411630 and 230. 230 What is the highest common divisor of 5562 and 1728? 54 What is the highest common divisor of 60 and 9795? 15 What is the greatest common factor of 10956 and 34716? 132 What is the greatest common factor of 13893 and 231? 33 Calculate the highest common divisor of 330 and 1632807. 33 Calculate the highest common divisor of 1173 and 16677. 51 What is the highest common factor of 217 and 42377? 31 Calculate the highest common divisor of 306656 and 8. 8 What is the highest common factor of 32704 and 494064? 1168 What is the highest common factor of 1059950 and 2175? 725 Calculate the greatest common divisor of 26 and 59813. 13 Calculate the greatest common factor of 8136 and 814617. 1017 Calculate the highest common factor of 812 and 686. 14 What is the highest common factor of 326235 and 717? 717 Calculate the greatest common factor of 92 and 2207011. 23 Calculate the highest common divisor of 248066 and 15886. 1222 What is the greatest common factor of 12947 and 11737? 121 Calculate the greatest common factor of 954918 and 4. 2 What is the greatest common factor of 606 and 19796? 202 Calculate the highest common factor of 14862 and 6. 6 What is the greatest common factor of 28 and 1057658? 14 What is the highest common factor of 16870 and 106522? 482 What is the highest common divisor of 578 and 26299? 289 What is the highest common divisor of 146793 and 6153? 879 What is the highest common factor of 1037046 and 614? 614 What is the greatest common divisor of 752 and 166576? 16 Calculate the highest common factor of 15810 and 186. 186 Calculate the greatest common divisor of 2209586 and 19. 19 What is the greatest common factor of 116 and 1508? 116 Calculate the greatest common factor of 3724 and 37316. 76 What is the greatest common divisor of 1275948 and 552? 276 Calculate the greatest common factor of 44 and 196. 4 What is the greatest common divisor of 605961 and 243? 81 What is the greatest common divisor of 24495 and 6785? 115 Calculate the highest common divisor of 77610 and 12350. 130 What is the greatest common divisor of 109123 and 2352? 49 Calculate the greatest common divisor of 22 and 49214. 22 Calculate the highest common divisor of 1336 and 104. 8 What is the highest common divisor of 632 and 1607966? 158 Calculate the greatest common factor of 28 and 37562. 14 Calculate the greatest common factor of 323074 and 536. 134 Calculate the highest common divisor of 2635 and 45152. 17 Calculate the highest common divisor of 548646 and 91. 7 What is the greatest common divisor of 14 and 247338? 14 What is the highest common factor of 858 and 22152? 78 Calculate the greatest common divisor of 22862 and 5152. 322 What is the greatest common divisor of 7952 and 2576? 112 What is the greatest common factor of 4945 and 2580? 215 What is the greatest common divisor of 390065 and 13? 13 Calculate the greatest common factor of 189 and 75789. 189 What is the greatest common divisor of 1645 and 105515? 235 What is the greatest common divisor of 370532 and 68? 68 What is the greatest common factor of 725 and 121000? 25 What is the greatest common factor of 150 and 5346? 6 Calculate the greatest common factor of 240329 and 469. 67 Calculate the greatest common factor of 1074610 and 738. 82 What is the highest common factor of 812508 and 36? 12 Calculate the highest common divisor of 350 and 6075. 25 What is the greatest common factor of 2558301 and 11697? 1671 What is the highest common factor of 43524 and 8370? 1674 What is the highest common divisor of 32889 and 4959? 57 What is the greatest common divisor of 232644 and 108? 12 What is the greatest common divisor of 52215 and 120? 15 What is the greatest common divisor of 270996 and 516? 12 Calculate the highest common divisor of 4047 and 164223. 213 What is the highest common divisor of 2618 and 68915? 77 What is the greatest common divisor of 1038345 and 434? 217 What is the greatest common divisor of 62898 and 132? 66 What is the greatest common factor of 1723587 and 3? 3 Calculate the greatest common factor of 8 and 126744. 8 What is the greatest common factor of 14 and 90139? 7 Calculate the greatest common factor of 105 and 148855. 35 Calculate the greatest common divisor of 34104 and 4008. 24 Calculate the greatest common factor of 375 and 87375. 375 Calculate the greatest common factor of 117800 and 380. 380 Calculate the greatest common factor of 71449 and 1652. 413 Calculate the highest common factor of 6 and 40128. 6 What is the highest common factor of 180 and 301880? 20 What is the greatest common factor of 12712 and 16408? 56 Calculate the greatest common divisor of 66126 and 824. 206 Calculate the highest common factor of 1240 and 146785. 155 What is the greatest common divisor of 52 and 402168? 52 What is the highest common factor of 162 and 1888407? 27 Calculate the highest common factor of 138 and 902474. 46 What is the highest common factor of 555 and 17385? 15 What is the highest common divisor of 45428 and 12? 4 What is the greatest common factor of 6956 and 17834? 74 Calculate the highest common factor of 159487 and 1333. 43 Calculate the greatest common factor of 6818 and 742. 14 What is the highest common factor of 12152 and 9800? 392 Calculate the greatest common factor of 4644 and 731. 43 What is the greatest common factor of 52485 and 330? 15 Calculate the highest common divisor of 35 and 596890. 35 What is the highest co
{ "pile_set_name": "DM Mathematics" }
337 List the prime factors of 3198102268. 2, 19, 3643, 11551 What are the prime factors of 19179550? 2, 5, 13, 19, 1553 What are the prime factors of 4581534766? 2, 2290767383 List the prime factors of 83252215. 5, 16650443 What are the prime factors of 285574937? 285574937 What are the prime factors of 6932033687? 23, 521, 578489 What are the prime factors of 38471100? 2, 3, 5, 128237 List the prime factors of 400415554. 2, 7, 11, 37, 10039 What are the prime factors of 6647918071? 101, 65820971 List the prime factors of 350624669. 59, 103, 57697 What are the prime factors of 70858570? 2, 5, 101, 70157 List the prime factors of 97796381. 29, 101, 173, 193 What are the prime factors of 305700258? 2, 3, 5857, 8699 What are the prime factors of 1683268591? 1683268591 What are the prime factors of 58220276? 2, 14555069 List the prime factors of 202928824. 2, 7, 3623729 What are the prime factors of 188703547? 188703547 List the prime factors of 56821803. 3, 17, 911, 1223 What are the prime factors of 34416666? 2, 3, 79, 24203 What are the prime factors of 21869591? 769, 28439 What are the prime factors of 41852970? 2, 3, 5, 379, 409 What are the prime factors of 48354181? 48354181 What are the prime factors of 892070093? 67, 751, 17729 List the prime factors of 427518167. 427518167 What are the prime factors of 503231706? 2, 3, 149, 187633 What are the prime factors of 65383825? 5, 13, 23, 8747 What are the prime factors of 38697525? 3, 5, 17, 67, 151 List the prime factors of 356122406. 2, 557, 319679 List the prime factors of 115851097. 1993, 58129 What are the prime factors of 925361? 17, 29, 1877 What are the prime factors of 688443750? 2, 3, 5, 12239 What are the prime factors of 1927099729? 1927099729 List the prime factors of 38166870. 2, 3, 5, 7, 17, 10691 What are the prime factors of 112543555? 5, 19, 62351 What are the prime factors of 288508608? 2, 3, 199, 839 List the prime factors of 800531299. 3671, 218069 What are the prime factors of 71342551? 7, 1013, 10061 What are the prime factors of 2146173483? 3, 17, 139, 302747 What are the prime factors of 2814174182? 2, 79, 4073, 4373 What are the prime factors of 1429465193? 13, 269, 408769 List the prime factors of 1566158814. 2, 3, 11, 43, 757 List the prime factors of 495930424. 2, 11, 41, 137453 What are the prime factors of 4409155668? 2, 3, 31, 59, 200891 What are the prime factors of 1146145953? 3, 382048651 What are the prime factors of 691580464? 2, 53, 815543 List the prime factors of 373073976. 2, 3, 11, 17, 229 List the prime factors of 2423627725. 5, 53, 131, 13963 What are the prime factors of 58308372? 2, 3, 1619677 What are the prime factors of 9368060072? 2, 7, 167286787 What are the prime factors of 1120478? 2, 560239 What are the prime factors of 111661661? 17, 101, 65033 What are the prime factors of 692874769? 31, 22350799 What are the prime factors of 691212585? 3, 5, 7, 251, 26227 List the prime factors of 1779365850. 2, 3, 5, 11862439 What are the prime factors of 37134014? 2, 37, 317, 1583 List the prime factors of 56988152. 2, 13, 61, 691 What are the prime factors of 4309458111? 3, 7, 373, 183389 What are the prime factors of 1430471? 7, 204353 What are the prime factors of 170706917? 353, 461, 1049 List the prime factors of 63042209. 19, 3318011 What are the prime factors of 686333220? 2, 3, 5, 11438887 What are the prime factors of 2126776492? 2, 137, 433, 8963 List the prime factors of 4770147083. 13, 113, 3247207 What are the prime factors of 1610257851? 3, 43, 83, 50131 List the prime factors of 84601799. 1663, 50873 List the prime factors of 600399334. 2, 300199667 List the prime factors of 278268181. 3691, 75391 What are the prime factors of 5396665939? 7, 770952277 List the prime factors of 311455431. 3, 7, 4943737 List the prime factors of 106278657. 3, 4567, 7757 List the prime factors of 43693145. 5, 17, 113, 4549 List the prime factors of 17016237. 3, 7, 30011 List the prime factors of 104318054. 2, 127, 410701 What are the prime factors of 35483808? 2, 3, 113, 3271 What are the prime factors of 6907733? 7, 986819 What are the prime factors of 4427365938? 2, 3, 599, 1231877 List the prime factors of 336696607. 13, 25899739 What are the prime factors of 3119873817? 3, 13381, 77719 What are the prime factors of 6971092097? 17, 149, 2752109 What are the prime factors of 235880684? 2, 13, 4536167 What are the prime factors of 14823876? 2, 3, 19, 79, 823 What are the prime factors of 1107216938? 2, 449, 1232981 List the prime factors of 15271048. 2, 13, 146837 List the prime factors of 2331575232. 2, 3, 7, 247829 What are the prime factors of 1987352221? 1987352221 What are the prime factors of 3421870660? 2, 5, 13, 29, 41, 11069 What are the prime factors of 187098884? 2, 7, 6682103 What are the prime factors of 14701845? 3, 5, 167, 5869 What are the prime factors of 3194797? 3194797 What are the prime factors of 244300795? 5, 17, 107, 26861 What are the prime factors of 106286143? 1753, 60631 List the prime factors of 242346160. 2, 5, 7, 211, 293 What are the prime factors of 77400604? 2, 19, 1018429 List the prime factors of 12045573. 3, 1338397 List the prime factors of 2698336125. 3, 5, 799507 List the prime factors of 66568481. 7, 17, 73, 79, 97 What are the prime factors of 793660268? 2, 6761, 29347 List the prime factors of 501037450. 2, 5, 10020749 List the prime factors of 320313072. 2, 3, 677, 9857 List the prime factors of 851281200. 2, 3, 5, 7, 11, 37, 83 List the prime factors of 266299674. 2, 3, 41, 67, 107, 151 What are the prime factors of 1397098046? 2, 17, 3347, 12277 What are the prime factors of 596361128? 2, 11, 563, 12037 What are the prime factors of 371535176? 2, 46441897 What are the prime factors of 378177919? 7, 19, 1471, 1933 List the prime factors of 47201336. 2, 7, 13, 23, 2819 What are the prime factors of 3128912393? 3128912393 List the prime factors of 109581124. 2, 37, 797, 929 What are the prime factors of 30085335? 3, 5, 7, 149, 641 List the prime factors of 162733701. 3, 13, 83, 50273 What are the prime factors of 338350285? 5, 7, 13, 79, 9413 What are the prime factors of 461999705? 5, 92399941 What are the prime factors of 624271085? 5, 191, 653687 List the prime factors of 141759217. 853, 166189 List the prime factors of 514487907. 3, 53, 89, 12119 What are the prime factors of 26743138? 2, 13371569 What are the prime factors of 50213133? 3, 127, 197, 223 List the prime factors of 120641685. 3, 5, 8042779 List the prime factors of 22111895. 5, 13, 340183 What are the prime factors of 27093800? 2, 5, 135469 List the prime factors of 278732850. 2, 3, 5, 11, 17, 19, 523 What are the prime factors of 89767619? 131, 685249 List the prime factors of 2064508402. 2, 11, 93841291 What are the prime factors of 42797071? 41, 1043831 What are the prime factors of 429344943? 3, 143114981 What are the prime factors of 39106855? 5, 7821371 List the prime factors of 64162116. 2, 3, 1782281 List the prime factors of 47505168. 2, 3, 19, 97, 179 What are the prime factors of 71031903? 3, 23677301 What are the prime factors of 185756970? 2, 3, 5, 7, 23, 38459 List the prime factors of 2951674103. 7, 2953, 20399 What are the prime factors of 76298301? 3, 2825863 What are the prime factors of 259884315? 3, 5, 31, 62099 List the prime factors of 619993872. 2, 3, 1435171 List the prime factors of 458897467. 7, 179, 366239 List the prime factors of 832185668. 2, 61, 3410597 What are the prime factors of 73713299? 11, 167, 40127 What are the prime factors of 3924555701? 11, 31, 37, 73, 4261 List the prime factors of 3979949290. 2, 5, 1523, 261323 What are the prime factors of 2706206434? 2, 1353103217 List the prime factors of 281930634. 2, 3, 29, 71, 7607 List the prime factors of 100401679. 7, 14343097 What are the prime factors of 233960965? 5, 7, 19, 41, 8581 List the prime factors of 100285002. 2, 3, 19, 97, 3023 What are the prime factors of 47640086? 2, 13, 17, 8291 What are the prime factors of 795001565? 5, 67, 2373139 List the prime factors of 362741748. 2, 3, 30228479 What are the prime factors of 109393878? 2, 3, 11, 17, 97499 What are the prime factors of 228682992? 2, 3, 4764229 What are the prime factors of 1260778841?
{ "pile_set_name": "DM Mathematics" }
s 410 minutes after 10:20 PM? 5:10 AM What is 231 minutes before 5:52 PM? 2:01 PM What is 254 minutes before 11:13 AM? 6:59 AM What is 170 minutes before 3:47 AM? 12:57 AM What is 630 minutes before 1:04 AM? 2:34 PM How many minutes are there between 10:29 AM and 6:05 PM? 456 What is 505 minutes after 6:23 AM? 2:48 PM What is 41 minutes after 12:23 PM? 1:04 PM What is 345 minutes before 5:28 PM? 11:43 AM What is 456 minutes after 8:42 PM? 4:18 AM What is 255 minutes before 1:11 AM? 8:56 PM What is 115 minutes before 8:33 PM? 6:38 PM How many minutes are there between 9:47 AM and 2:00 PM? 253 What is 532 minutes after 7:27 AM? 4:19 PM What is 616 minutes after 6:29 PM? 4:45 AM What is 546 minutes after 4:52 PM? 1:58 AM How many minutes are there between 3:21 PM and 9:59 PM? 398 How many minutes are there between 2:30 AM and 8:29 AM? 359 What is 56 minutes after 6:24 AM? 7:20 AM What is 628 minutes after 7:51 AM? 6:19 PM What is 588 minutes before 1:13 AM? 3:25 PM How many minutes are there between 8:18 AM and 8:38 AM? 20 What is 309 minutes before 6:01 PM? 12:52 PM What is 11 minutes before 1:37 PM? 1:26 PM How many minutes are there between 7:20 AM and 1:48 PM? 388 What is 445 minutes before 9:27 AM? 2:02 AM What is 54 minutes before 7:07 AM? 6:13 AM What is 172 minutes after 11:05 AM? 1:57 PM What is 96 minutes before 9:30 AM? 7:54 AM How many minutes are there between 10:45 AM and 1:13 PM? 148 What is 235 minutes before 2:14 AM? 10:19 PM How many minutes are there between 6:31 PM and 6:01 AM? 690 How many minutes are there between 12:06 AM and 6:12 AM? 366 What is 144 minutes before 7:34 AM? 5:10 AM How many minutes are there between 8:30 AM and 6:18 PM? 588 What is 652 minutes after 12:43 AM? 11:35 AM What is 181 minutes before 5:41 AM? 2:40 AM What is 145 minutes before 5:18 AM? 2:53 AM How many minutes are there between 2:18 PM and 3:25 PM? 67 How many minutes are there between 4:43 PM and 7:48 PM? 185 What is 480 minutes after 9:15 AM? 5:15 PM How many minutes are there between 4:07 AM and 8:31 AM? 264 What is 665 minutes before 6:44 PM? 7:39 AM How many minutes are there between 2:18 AM and 1:40 PM? 682 What is 25 minutes after 10:15 AM? 10:40 AM What is 59 minutes after 3:29 AM? 4:28 AM What is 328 minutes after 4:36 PM? 10:04 PM How many minutes are there between 11:59 AM and 3:42 PM? 223 What is 582 minutes after 6:57 AM? 4:39 PM What is 332 minutes after 2:16 PM? 7:48 PM What is 639 minutes after 4:14 AM? 2:53 PM How many minutes are there between 3:04 AM and 12:48 PM? 584 How many minutes are there between 3:28 AM and 6:55 AM? 207 What is 611 minutes before 11:20 PM? 1:09 PM How many minutes are there between 8:55 AM and 10:45 AM? 110 What is 315 minutes after 10:54 PM? 4:09 AM What is 693 minutes before 8:54 PM? 9:21 AM How many minutes are there between 8:07 AM and 7:25 PM? 678 How many minutes are there between 12:49 AM and 3:17 AM? 148 How many minutes are there between 12:28 PM and 5:56 PM? 328 How many minutes are there between 4:49 PM and 11:58 PM? 429 How many minutes are there between 9:27 AM and 1:31 PM? 244 How many minutes are there between 11:42 AM and 2:18 PM? 156 What is 82 minutes after 3:53 AM? 5:15 AM What is 376 minutes after 8:12 PM? 2:28 AM How many minutes are there between 7:40 AM and 9:23 AM? 103 What is 532 minutes after 11:53 PM? 8:45 AM What is 559 minutes after 1:14 PM? 10:33 PM How many minutes are there between 8:35 PM and 5:33 AM? 538 What is 25 minutes after 3:43 PM? 4:08 PM What is 36 minutes after 9:55 PM? 10:31 PM What is 197 minutes after 2:05 AM? 5:22 AM What is 19 minutes before 6:13 AM? 5:54 AM How many minutes are there between 5:41 AM and 5:09 PM? 688 What is 376 minutes before 7:43 AM? 1:27 AM What is 628 minutes after 5:11 AM? 3:39 PM How many minutes are there between 8:06 AM and 10:23 AM? 137 How many minutes are there between 2:38 PM and 6:51 PM? 253 What is 344 minutes before 9:52 AM? 4:08 AM What is 457 minutes after 2:34 AM? 10:11 AM How many minutes are there between 5:03 PM and 3:00 AM? 597 How many minutes are there between 11:38 AM and 1:29 PM? 111 How many minutes are there between 2:11 AM and 10:56 AM? 525 What is 101 minutes before 7:17 AM? 5:36 AM How many minutes are there between 3:56 AM and 11:29 AM? 453 What is 166 minutes after 1:07 AM? 3:53 AM What is 618 minutes after 8:12 PM? 6:30 AM What is 11 minutes after 11:47 PM? 11:58 PM What is 680 minutes after 1:36 PM? 12:56 AM What is 454 minutes after 6:36 PM? 2:10 AM How many minutes are there between 3:12 AM and 4:48 AM? 96 How many minutes are there between 11:47 PM and 4:51 AM? 304 What is 528 minutes before 3:11 PM? 6:23 AM What is 404 minutes before 2:59 AM? 8:15 PM What is 692 minutes after 1:10 PM? 12:42 AM How many minutes are there between 8:53 PM and 9:03 PM? 10 How many minutes are there between 1:18 PM and 12:46 AM? 688 How many minutes are there between 12:56 PM and 10:44 PM? 588 What is 250 minutes after 8:19 AM? 12:29 PM How many minutes are there between 10:55 AM and 10:35 PM? 700 How many minutes are there between 4:09 AM and 10:15 AM? 366 How many minutes are there between 9:37 PM and 10:40 PM? 63 How many minutes are there between 11:24 PM and 12:02 AM? 38 What is 277 minutes before 5:17 PM? 12:40 PM What is 463 minutes after 8:46 PM? 4:29 AM How many minutes are there between 11:19 PM and 2:46 AM? 207 How many minutes are there between 6:21 PM and 4:37 AM? 616 How many minutes are there between 6:31 AM and 9:55 AM? 204 How many minutes are there between 5:32 PM and 4:16 AM? 644 How many minutes are there between 5:59 PM and 6:55 PM? 56 What is 203 minutes after 10:41 PM? 2:04 AM How many minutes are there between 3:37 PM and 10:41 PM? 424 What is 310 minutes before 2:40 AM? 9:30 PM How many minutes are there between 10:54 AM and 6:44 PM? 470 What is 474 minutes before 2:37 AM? 6:43 PM How many minutes are there between 6:18 AM and 6:51 AM? 33 What is 714 minutes after 4:28 PM? 4:22 AM What is 439 minutes before 11:50 PM? 4:31 PM How many minutes are there between 2:06 AM and 2:39 AM? 33 What is 641 minutes after 7:25 PM? 6:06 AM How many minutes are there between 10:00 PM and 9:18 AM? 678 What is 611 minutes before 6:53 PM? 8:42 AM How many minutes are there between 8:14 PM and 10:15 PM? 121 How many minutes are there between 3:03 AM and 2:12 PM? 669 How many minutes are there between 6:45 PM and 7:25 PM? 40 What is 298 minutes after 10:06 AM? 3:04 PM What is 429 minutes before 9:30 AM? 2:21 AM What is 207 minutes after 10:24 PM? 1:51 AM How many minutes are there between 1:06 AM and 7:33 AM? 387 How many minutes are there between 7:15 PM and 3:36 AM? 501 What is 576 minutes before 12:22 AM? 2:46 PM How many minutes are there between 8:19 PM and 11:04 PM? 165 How many minutes are there between 4:08 PM and 9:45 PM? 337 What is 470 minutes after 10:31 PM? 6:21 AM What is 39 minutes after 11:16 PM? 11:55 PM How many minutes are there between 5:10 PM and 12:19 AM? 429 What is 265 minutes before 11:09 AM? 6:44 AM What is 20 minutes after 4:57 PM? 5:17 PM How many minutes are there between 2:04 PM and 11:42 PM? 578 How many minutes are there between 11:13 PM and 1:47 AM? 154 What is 167 minutes before 1:57 PM? 11:10 AM How many minutes are there between 1:24 AM and 12:56 PM? 692 How many minutes are there between 12:40 AM and 3:14 AM? 154 What is 444 minutes after 9:25 PM? 4:49 AM How many minutes are there between 11:31 PM and 7:59 AM? 508 What is 690 minutes before 12:05 PM? 12:35 AM What is 387 minutes before 3:37 AM? 9:10 PM How many minutes are there between 10:55 PM and 1:27 AM? 152 How many minutes are there between 4:52 PM and 9:16 PM? 264 What is 153 minutes after 5:41 PM? 8:14 PM What is 636 minutes before 2:40 PM? 4:04 AM How many minutes are there between 7:34 PM and 2:22 AM? 408 How many minutes are there between 8:27 PM and 2:52 AM? 385 What is 63 minutes before 2:52 PM? 1:49 PM How many minutes are there between 7:56 AM and 1:00 PM? 304 What is 564 minutes after 9:39 AM? 7:03 PM What is 610 minutes after 4:17 AM? 2:27 PM What is 423 minutes after 10:20 PM? 5:23 AM What is 42 minutes after 10:53 AM? 11:35 AM How many minutes are there between 11:37 PM and 6:16 AM? 399 How many minutes are t
{ "pile_set_name": "DM Mathematics" }
s. 15475.76 How many millimeters are there in 0.9772377um? 0.0009772377 What is 90555.47 centuries in millennia? 9055.547 What is 11/2 of a millimeter in micrometers? 5500 How many months are there in 8426.005 millennia? 101112060 How many months are there in 3/25 of a millennium? 1440 Convert 14.70755nm to millimeters. 0.00001470755 What is one tenth of a decade in months? 12 What is 0.1315682 millimeters in centimeters? 0.01315682 How many centimeters are there in 3/40 of a kilometer? 7500 Convert 840713.5 micrograms to kilograms. 0.0008407135 What is three eighths of a tonne in kilograms? 375 How many millilitres are there in 395.9644l? 395964.4 What is one fifth of a millennium in years? 200 How many litres are there in 828.9289 millilitres? 0.8289289 What is seven eighths of a centimeter in micrometers? 8750 How many decades are there in 10201.91 years? 1020.191 How many millilitres are there in 0.0676115l? 67.6115 How many centuries are there in 11/2 of a millennium? 55 How many litres are there in 96601.24 millilitres? 96.60124 How many months are there in 4/15 of a millennium? 3200 What is 11/2 of a century in years? 550 What is 0.0023831 centuries in months? 2.85972 What is 9668.568 minutes in hours? 161.1428 What is 1/6 of a hour in minutes? 10 What is 3/5 of a kilogram in grams? 600 What is fifty-four fifths of a microgram in nanograms? 10800 How many grams are there in 3/50 of a tonne? 60000 How many months are there in 26/5 of a millennium? 62400 How many minutes are there in twenty-two ninths of a day? 3520 How many microseconds are there in 0.5766764 seconds? 576676.4 How many milligrams are there in 67/5 of a gram? 13400 How many litres are there in 3699.802 millilitres? 3.699802 How many millilitres are there in 3/40 of a litre? 75 What is 0.7336793um in kilometers? 0.0000000007336793 How many centuries are there in fourty-four fifths of a millennium? 88 What is 7/2 of a litre in millilitres? 3500 What is one tenth of a centimeter in micrometers? 1000 What is twenty-one eighths of a litre in millilitres? 2625 What is 142800.4 micrometers in nanometers? 142800400 What is 7932.215 micrograms in nanograms? 7932215 What is seventy-five eighths of a litre in millilitres? 9375 How many months are there in 7/3 of a century? 2800 Convert 0.1442734t to nanograms. 144273400000000 How many millilitres are there in 12/25 of a litre? 480 How many decades are there in 3/10 of a century? 3 What is 2456.738 milligrams in micrograms? 2456738 Convert 32.20686 days to minutes. 46377.8784 Convert 692.7169mm to centimeters. 69.27169 How many seconds are there in 54.4993ms? 0.0544993 How many micrometers are there in 67786.82 meters? 67786820000 What is 173.1263um in centimeters? 0.01731263 How many years are there in 18/5 of a decade? 36 What is 0.9987637 micrometers in nanometers? 998.7637 What is 7157511.9 minutes in days? 4970.494375 What is one tenth of a tonne in grams? 100000 How many months are there in 4/3 of a decade? 160 How many millilitres are there in 15/4 of a litre? 3750 How many millilitres are there in eleven eighths of a litre? 1375 What is 86.7009 microseconds in milliseconds? 0.0867009 What is 361573.2cm in nanometers? 3615732000000 Convert 54.95716 litres to millilitres. 54957.16 How many centuries are there in 74106.6 months? 61.7555 How many meters are there in 139566.3um? 0.1395663 What is fourty-five quarters of a kilogram in grams? 11250 How many milliseconds are there in eighteen fifths of a second? 3600 How many millilitres are there in 53543.32l? 53543320 How many millennia are there in 8.719449 centuries? 0.8719449 What is one quarter of a year in months? 3 How many nanograms are there in 23.16517g? 23165170000 How many decades are there in 29/2 of a century? 145 How many kilograms are there in 0.0206318 tonnes? 20.6318 What is 17/4 of a meter in centimeters? 425 What is 7832556.9 hours in weeks? 46622.3625 What is 8/15 of a century in months? 640 What is 752441.1 decades in centuries? 75244.11 What is five quarters of a millennium in decades? 125 What is three fifths of a millennium in years? 600 What is 1/16 of a millisecond in nanoseconds? 62500 How many nanoseconds are there in 0.8463287 minutes? 50779722000 What is thirteen quarters of a gram in milligrams? 3250 How many seconds are there in thirteen fifths of a hour? 9360 What is five quarters of a week in minutes? 12600 Convert 0.575535 milligrams to micrograms. 575.535 What is 2.540889 grams in micrograms? 2540889 How many nanograms are there in sixty-one quarters of a microgram? 15250 How many years are there in seventy-four fifths of a decade? 148 How many micrograms are there in 3/25 of a milligram? 120 What is 47879.5t in grams? 47879500000 Convert 89462.43 days to nanoseconds. 7729553952000000000 What is 0.2211396 micrometers in kilometers? 0.0000000002211396 Convert 9.560489 decades to years. 95.60489 How many micrograms are there in 93118.32mg? 93118320 How many millilitres are there in seventeen halves of a litre? 8500 What is 13/4 of a litre in millilitres? 3250 What is 0.5381488 centimeters in nanometers? 5381488 How many nanoseconds are there in eleven quarters of a microsecond? 2750 How many months are there in 11/4 of a decade? 330 How many months are there in 17/4 of a decade? 510 What is twenty-five quarters of a kilogram in grams? 6250 What is fifty-one fifths of a microgram in nanograms? 10200 How many minutes are there in 22915.113us? 0.00038191855 How many micrograms are there in one quarter of a milligram? 250 What is 670.9217g in nanograms? 670921700000 How many months are there in eighteen fifths of a millennium? 43200 How many millilitres are there in five quarters of a litre? 1250 What is 11/8 of a day in hours? 33 What is one sixth of a minute in milliseconds? 10000 What is twenty-one fifths of a microgram in nanograms? 4200 What is 202130.4 millilitres in litres? 202.1304 Convert 5713.57ml to litres. 5.71357 What is 5/4 of a millimeter in micrometers? 1250 Convert 5010.847kg to milligrams. 5010847000 What is 47.04059 millimeters in nanometers? 47040590 What is 0.6751548 minutes in milliseconds? 40509.288 What is 51/5 of a century in months? 12240 What is 6264.288 nanometers in kilometers? 0.000000006264288 How many weeks are there in 9539552.4 hours? 56783.05 How many milligrams are there in 300.0126 grams? 300012.6 What is 9.478241 decades in centuries? 0.9478241 How many months are there in 1/16 of a century? 75 How many litres are there in 0.1986765ml? 0.0001986765 What is 46/5 of a litre in millilitres? 9200 How many microseconds are there in 18/5 of a millisecond? 3600 How many millilitres are there in 13/5 of a litre? 2600 What is 1/10 of a kilogram in milligrams? 100000 How many nanograms are there in 51/2 of a microgram? 25500 How many milligrams are there in 1/4 of a gram? 250 How many millilitres are there in seventy-five quarters of a litre? 18750 How many tonnes are there in 0.2581937 micrograms? 0.0000000000002581937 What is nine tenths of a microsecond in nanoseconds? 900 What is 5/4 of a millimeter in micrometers? 1250 How many millimeters are there in 0.0459344 centimeters? 0.459344 What is 6/25 of a centimeter in micrometers? 2400 What is three eighths of a kilometer in meters? 375 Convert 0.4276045 tonnes to grams. 427604.5 How many micrograms are there in twenty-five quarters of a milligram? 6250 What is seventy-two fifths of a millennium in decades? 1440 How many millimeters are there in thirteen fifths of a centimeter? 26 How many microseconds are there in fifteen quarters of a millisecond? 3750 Convert 12.7533798 hours to weeks. 0.075912975 Convert 0.9814394 kilometers to meters. 981.4394 How many micrometers are there in 21/4 of a millimeter? 5250 What is 18/5 of a millimeter in micrometers? 3600 How many decades are there in twenty-nine halves of a century? 145 How many micrograms are there in fifteen quarters of a milligram? 3750 Convert 710571.8 years to centuries. 7105.718 How many millimeters are there in 33615.97 micrometers? 33.61597 What is 81/4 of a year in months? 243 How many hours are there in 2500.7193ms? 0.00069464425 How many millilitres are there in 3/25 of a litre? 120 How many months are t
{ "pile_set_name": "DM Mathematics" }
*y - 4*m + 1025 = -5*m. Let l(p) = 6*p**2 - 6*p - 13. Let j be l(-7). Let r = j - y. Is r prime? False Let b(n) = 10*n**2 + 15*n - 4. Let i(t) = -30*t**2 - 44*t + 12. Let v(z) = -11*b(z) - 4*i(z). Is v(-9) a composite number? True Let y be 35/5 + 1 + -3. Suppose 6*t - 93995 = -y*t. Suppose -29*m - t = -34*m. Is m a prime number? True Let d = 394 - 1. Let w = 1013 + d. Suppose -6*v + w - 68 = 0. Is v composite? False Let k = 4028 - 9239. Let l = k + 10480. Is l prime? False Suppose -143*f + 146*f - 200884 = -4*p, 2*f - 251105 = -5*p. Is p prime? True Let w(j) = -j**3 + 34*j**2 + 27*j - 49. Let i be w(31). Let o = i - 1609. Is o composite? True Let u(d) be the third derivative of -d**6/120 - 11*d**5/30 - 17*d**4/12 - 11*d**3/6 - 76*d**2. Is u(-22) composite? True Let k be (1 + 5/2)*(-14626)/(-497). Suppose -k*f + 89*f + 6286 = 0. Is f composite? False Suppose 19*n - 107388 = -10545. Is n composite? True Suppose -o + 2*g - 5 = -11, -3*g = 9. Suppose -r + v + 5621 = 0, -r + o*v - 5*v = -5633. Is r prime? True Let v(m) = 3*m**2 - 5 + 3 - m**2 - 557*m**3. Let b be 3/12*24/(-6). Is v(b) composite? False Let a be (9380/80)/(((-3)/4)/3). Let c = a - -720. Is c a prime number? True Let o = 1975 + 9578. Is o composite? True Let h be (-454)/(255/(-84) + 3). Suppose h = 2*m + v + 138, -12574 = -2*m - 2*v. Is m a composite number? False Suppose 0 = 8*f + 33 + 167. Let o = f + 154. Is o prime? False Suppose 0 = 9*l - 13*l + 44. Suppose l = 2*k + 7. Suppose -k*n + 84 = -14. Is n composite? True Let c(h) = 2*h**3 + 95*h**2 - 31*h - 378. Let x be c(-46). Let w(n) = -77*n**3 + n**2 - n - 1. Let d be w(-3). Suppose -x = -14*z - d. Is z a composite number? False Is (491631/4)/3 - (-2)/(-8) a prime number? False Suppose -38*o - 11*o = -4438763. Is o a composite number? True Suppose -2*x + 1 - 5 = 0. Let j(k) = -2*k - 1. Let l be j(x). Is 1922/1 + (4 - l) composite? True Let v(z) = -5*z**2 - 23*z - 39. Let j(q) = 4*q**2 + 22*q + 39. Let a(l) = 6*j(l) + 5*v(l). Let n be a(19). Is n*(0 + (-974)/(-2)) a prime number? True Let n(d) = d**2 + 2. Let c be n(-2). Suppose c*b = 12 + 36. Is (-499)/4*(0 - b) prime? False Is 4/(-1) + (-1978119)/(221/(-17)) prime? False Let o(y) = -9*y + 9. Let p be o(4). Let n(f) = f**2 + 25*f - 54. Let i be n(p). Suppose -17*b = -i*b - 3723. Is b a composite number? True Let p(w) = w + 5. Let x be p(20). Suppose 991 = x*k - 24*k. Is k a prime number? True Let l(g) = g**3 + 6*g**2 + 7*g - 12. Let o(w) = 2*w**3 + 11*w**2 + 15*w - 23. Suppose 11 = 3*k - 10. Let z(a) = k*l(a) - 3*o(a). Is z(7) a prime number? True Is (-2)/15*-10 - (-1304771)/39 prime? True Suppose 1997719 + 4102596 = 24*f + 941059. Is f prime? False Let v(i) = -3*i**2 + 6*i + 2. Let b be v(7). Let o = -98 - b. Suppose 2*g + 4*x - 154 = 0, 3*x = o*g - x - 441. Is g prime? False Let n(x) = 0*x**2 - 2*x**2 + 2*x**2 + 12 + 5*x - x**2. Let w be n(6). Suppose 3479 = 2*b - w*u + 3*u, 2*b - 5*u = 3485. Is b a prime number? False Let n be (-3 - (1 - 3))*(1 - 1). Suppose n = -58*g + 63*g - 15. Suppose 0 = 14*q - g*q - 6083. Is q composite? True Let v(o) = -21*o + 3. Let h be v(-15). Let b = -64 + h. Is b prime? False Suppose 122 = 3*t - 5*v, -5*t = 5*v + 3 - 153. Is ((-218)/(-6) - t/(-51)) + -2 prime? False Let y(k) be the third derivative of k**5/60 + k**4 - 25*k**3/3 - 4*k**2. Suppose 3*a = 5*x - 115, -a - 69 = -6*x + 3*x. Is y(x) prime? True Suppose 3*q - 808534 = -5*l, -10*l = -5*l + 5. Is q composite? False Suppose -15*k = -3*k - 2813268. Is k prime? False Suppose -176945 = -19*r + 14*r - 5*z, -106171 = -3*r - 5*z. Is r composite? True Is ((-14)/4 - (-3)/2)*158890236/(-456) composite? False Let c(t) = -t - 4. Let g be c(10). Let u(v) = -v**2 - 26*v - 89. Is u(g) a prime number? True Suppose -604*z = -610*z - 78. Let d(a) = -11*a + 18. Let v(r) = 44*r - 72. Let o(f) = 9*d(f) + 2*v(f). Is o(z) prime? False Let s = 6 - 3. Let z = 2815 + -405. Suppose 4*n - 3*a + 451 - z = 0, -n = s*a - 486. Is n composite? True Let w = 367 - 358. Is 2/(-4)*(-2*151911)/w a prime number? True Suppose 2*q - 4 = 8. Let p(s) = 17*s**3 - 2*s**2 + 17*s - 59. Is p(q) prime? True Suppose 2*t - 4*c = 63296, 5*c - 4*c = -4. Suppose -5*v = 3435 - t. Suppose v = 6*j - 6929. Is j prime? False Let j = 122018 + -85867. Is j prime? True Suppose 172524253 = 134*i + 34030295. Is i a composite number? False Let l(y) = 3*y**3 - 1750 - 134 + 3*y - 4*y**3. Let w be l(0). Is ((-10)/(-6))/((-4)/w) - -2 a prime number? True Let a be (-36)/(-15) + 3/5. Is a/(54/(-12)) - (-1349)/3 composite? False Let n(w) = -268*w + 225. Let q be n(-12). Let o = -1544 + q. Is o composite? True Let l = 104 - 104. Suppose -2*h - 5*i + 1577 = l, -5*i - 934 = -h - 123. Suppose 5*p - h = p. Is p a prime number? True Suppose 0 = -4*u - 4*z + 115 + 21, 0 = -2*z - 8. Is 157428/57 - (-4)/u a composite number? True Suppose -116954 - 714981 = -13*g. Is g prime? False Suppose 9*x + 0*x = -279. Let o = 26 + x. Is (-1)/4 + o*(-339)/12 composite? True Let c = 43 + -260. Let r = 2790 - c. Is r a prime number? False Let k(v) = 2*v + 0*v + 15 - 3*v. Suppose 10 = 139*g - 137*g. Is k(g) a composite number? True Let m(w) = 2895*w**3 - 6*w**2 + 761*w - 3025. Is m(4) a prime number? False Suppose 6 + 2 = 2*h. Suppose 2 = -4*r + i + 17, 0 = -h*r - 3*i + 35. Suppose -r*d = y - 746, 2*y + 63 = 2*d - 233. Is d composite? False Let t = 296 + -302. Is (44886/18 - t)/(1/3) a prime number? True Let g be 15/35 + 16137/(-21). Suppose -7*i + 3*i + 4748 = 0. Let w = i + g. Is w a prime number? True Suppose -5*z = 4*m + 758, -m + z - 118 = 67. Let a = 495 + m. Suppose p - a = -3*p. Is p a composite number? True Let s(x) = 102*x**2 - 58*x + 367. Is s(14) a prime number? False Suppose 66969 + 481875 = 4*w. Is w composite? True Is (-58)/(-116)*(-2 - -77080) a composite number? True Suppose 121*z + 45 = 130*z. Suppose 2*d + 4*s = 7826, -z*s + 5 + 10 = 0. Is d a composite number? False Let u = 25 - 22. Suppose 5*k = -4*s + 2 - 5, u*s = 9. Is 3*-67*(-4 - k) composite? True Let p = 245920 - -72651. Is p a composite number? True Let m = -203755 - -302162. Is m composite? False Let k = 718349 + -384451. Is k a prime number? False Is 225/(-120) + 2 + (-1238094)/(-16) a prime number? False Suppose 552728 = 23*l - 1270122 - 2480933. Is l a composite number? True Let w = -17392 - -133864. Is 10/(-50) + (w/15)/4 a prime number? False Suppose -s = 2*s + s. Suppose s = 7*h - 2*h + 20. Is h*1/4*1819*-1 a composite number? True Suppose -431*s - 459 = -440*s. Suppose 34*w - s*w = -70873. Is w a prime number? False Suppose 16*z - 15*z = 0. Let t(a) = a**3 + a**2 - 2*a - 1011. Let x be t(z). Is 1/(-5 + (-5058)/x) composite? False Is 5 + (-129*2)/((-15)/178155) a composite number? True Suppose -2*f = -a - 24057, -14*a - 24037 = -2*f - 9*a. Is f a composite number? True Suppose 0 = w - 3*o, 3*o = 5*w + 5*o - 51. Suppose w*y = -6*y + 180. Suppose 0 = 8*i - y*i + 2804. Is i a prime number? True Let z be (-112)/84*(816/2)/(-2). Suppose -z*a + 271*a + 114997 = 0. Is a a composite number? False Let w(d) = -348*d - 5. Let m(t) = -346*t - 5. Let n(a) = 6*m(a) - 5*w(a). Is n(-2) prime? False Let h(r) = 9*r**2 - 78*r + 1427. Is h(54) prime? True Suppose -2*g + s + 6 = 0, 11 = 2*g - 3*s + 1. Suppose -g*a = -16 - 0. Suppose -5*j - a = -3*m, -4*m = -4*j - 6 - 18. Is m composite? False Let g(a) = a**3 + 45*a**2 - 8*a - 166. Let n be g(-45). Suppose 179*o = n*o - 5385. Is o a prime number? True Let f(m) = 185*m**2 - 24*m - 10. Suppose 15 = -7*u - 48. Is f(u) a composite number? True Let w(v) = 2*v**3 - 14*v**2 + 26*v - 16. Let l be w(9). Let r = 835 - l. Is r composite? False Suppose -2 = v - 5. Suppose 2*k - 11 = -v. Suppose -f = -k*l + 6*l - 530, -2*l + 546 = 5*f. Is l composite? False Suppose -22*a = -8*a - 5040. Let d = a - -1405. Is d prime? False Is ((-10)/8 + 2)*(-232)/(-87) - -35631 prime? False Let m = 2918 + -1526. Let a(d) = 1524*d - 97. Let h be a(2). Let x = h - m. Is x composite? False Let z(s) = 10*s**2 + 16*s + 29. Let y = 157 + -173. Is z(y) a prime number? True Suppose 2*i + 21 = 21. Suppose g + 3*g = 5*p, i = 2*p - 3*g. Suppose p = -5*s + 5*l + 6762 + 2448, -2*s - 4*l + 3714 = 0. Is s a composite number? False Let r(s) = -s**3 - 3*s**2 + 6*s + 7. Let a be r(-5). Let d = a - 18. Suppose -d*l + 137
{ "pile_set_name": "DM Mathematics" }
e Which is smaller: -122 or -123? -123 Which is smaller: -4/887 or 0? -4/887 Which is smaller: 15 or -3? -3 Is -0.8 greater than 11/6? False Which is greater: -8 or -0.55? -0.55 Which is greater: 3 or -3507? 3 Is -3/21085 greater than or equal to 0? False Which is greater: 12 or 14? 14 Is 1.27 bigger than 0? True Which is smaller: -0.1 or -784? -784 Is -835 >= -2? False Are 0 and 1/16713 nonequal? True Is -6 bigger than -352/63? False Which is greater: 2/34127 or 1? 1 Is -7 equal to -54/7? False Which is bigger: 540/13 or 41? 540/13 Which is bigger: 1 or -4/153? 1 Are 180 and 164 equal? False Are 0.76 and 0.7 equal? False Is 5 equal to 213/38? False Do -13 and 1/34 have different values? True Which is greater: -1/4 or 12/29? 12/29 Which is bigger: 88 or 106? 106 Does 1 = -65.4? False Is 20/393 <= 0? False Which is greater: 634 or -2/3? 634 Is 3811 at most 3809? False Are -1/3 and 10/93 non-equal? True Is 1 equal to 69? False Are 20/83 and 0 equal? False Which is smaller: 9/1325 or -1? -1 Which is bigger: 1015 or 1014? 1015 Which is smaller: 237 or 223? 223 Is -0.3 <= 2/19? True Which is smaller: -3 or 1/32? -3 Which is smaller: 2/7 or 1? 2/7 Which is bigger: 9 or 6? 9 Is 778 greater than 1? True Which is greater: -4/5 or 41/5? 41/5 Is 413 greater than or equal to 413? True Do 19 and -2 have the same value? False Which is greater: 1/2009 or 1? 1 Is 0 less than or equal to -1/831? False Which is smaller: 8206 or 8204? 8204 Is 30 less than -1/121? False Is 541/3 at least 180? True Which is smaller: -3 or -94/31? -94/31 Is -15/427 bigger than -1? True Is 0.1 at most -8/29? False Which is smaller: -35 or -273/8? -35 Are 561/257 and 3 non-equal? True Which is smaller: -4.2 or 1.9? -4.2 Is 4/485 <= -1? False Which is smaller: 1 or 7/2334? 7/2334 Which is greater: 129/185 or 0? 129/185 Is 17 less than -11? False Are 1/3519 and -1 equal? False Are 17 and -48 nonequal? True Does 4 = -1? False Which is greater: -4/23 or -115? -4/23 Which is smaller: 1/5 or -1306? -1306 Is 941 at most as big as 2827/3? True Which is greater: 4 or 170? 170 Is -3/4 bigger than -214/5? True Which is greater: 128/5 or 1? 128/5 Which is smaller: 14.7 or -3? -3 Is -1 != -4/249? True Is -110 at least -110? True Is 296 > -5? True Is 1 at least -2/48257? True Which is smaller: -1/16812 or 0? -1/16812 Which is greater: -1 or -2/789? -2/789 Which is smaller: -192/59 or 2? -192/59 Is 0 not equal to -35/678? True Are 1 and 1/1382 unequal? True Is 3 at most 16/7? False Which is smaller: 0 or -1/23525? -1/23525 Which is greater: -1 or -366/5? -1 Which is smaller: -4/85 or 1? -4/85 Is -185/4 smaller than -45? True Is 0 greater than or equal to -65/187? True Is -86 < -1015/12? True Are -2131 and -2130 unequal? True Are 65 and 72 equal? False Which is greater: 3/8 or -2/5? 3/8 Is -30/11 <= -6/11? True Are -13 and -616/43 equal? False Which is greater: -13643/6 or -2273? -2273 Which is smaller: -4 or -10? -10 Which is smaller: 3083 or 3075? 3075 Which is greater: 1477 or -0.5? 1477 Are 43/10 and 5 unequal? True Is 1 at most as big as -10/1793? False Which is smaller: 2886 or 2889? 2886 Does -0.65 = 2? False Is -3056 less than or equal to -3056? True Which is bigger: -24.7 or -3/8? -3/8 Is -4675 less than -4675? False Which is bigger: -251 or -252? -251 Which is bigger: 1.3 or -13? 1.3 Does -1/9 = -3/2? False Which is smaller: 6/7 or 0.42? 0.42 Which is greater: 139 or 0? 139 Is 0 less than or equal to 3/2215? True Which is smaller: -2 or 123? -2 Is -6497 less than or equal to -6493? True Which is bigger: 0.1 or 2/625? 0.1 Which is smaller: -1/2 or -198/43? -198/43 Which is smaller: 233 or 235? 233 Which is bigger: 355 or 8174/23? 8174/23 Is 162 at least as big as 119? True Which is smaller: 3/9109 or 0? 0 Which is bigger: -93 or -735/8? -735/8 Is -2/5 smaller than 487? True Which is smaller: 117 or 116? 116 Which is bigger: 3/52 or 1? 1 Is -48 bigger than -3/2? False Do -330 and -4964/15 have different values? True Which is smaller: -24 or 6? -24 Is 134 at most 130? False Which is bigger: 224 or 225? 225 Is 119 at least 114? True Is 3/7 equal to 0.273? False Which is smaller: 1814/7 or 259? 259 Is 1 bigger than -25/71? True Which is bigger: -1 or -1/41424? -1/41424 Is 0 equal to -2/6625? False Which is smaller: 113/6 or 20? 113/6 Is -3/667 != 0.1? True Is 161/38 less than or equal to 2? False Is -0.2 at most as big as -1/4974? True Is 523 equal to 523? True Is -309 greater than -310? True Which is smaller: -121 or -107? -121 Which is greater: 41 or 11? 41 Is 95 at most as big as 98? True Which is smaller: -24292 or -24293? -24293 Which is greater: 1/45 or 0? 1/45 Do 10 and -39 have the same value? False Which is greater: 7/144 or -1? 7/144 Which is greater: -7/17 or -4? -7/17 Which is bigger: -1044 or -1015? -1015 Is -670 at most -667? True Is -14 greater than -91? True Which is bigger: 700 or 2? 700 Which is bigger: 63/11 or 5? 63/11 Is -27/214 smaller than -0.2? False Is -1167 less than or equal to -1168? False Is 9087 less than 9087? False Is 1724 < 1725? True Which is smaller: -59 or 12? -59 Is 0 <= -1/702? False Which is smaller: 845 or 842? 842 Are 0 and 320 nonequal? True Which is bigger: -183 or -3? -3 Which is bigger: 0.1 or -0.379? 0.1 Which is smaller: 5 or 0.0144? 0.0144 Which is greater: -9070 or -9072? -9070 Are -30688 and -30687 equal? False Is -65 < -70? False Which is smaller: -1/538 or 0? -1/538 Which is bigger: -4437 or -4435? -4435 Which is greater: -254/79 or -4? -254/79 Which is smaller: 0 or -0.065? -0.065 Are 0 and 9/986 non-equal? True Is 167 at least 111? True Is -0.27 > -1/73? False Is -2434 at least -2437? True Is -510/83 greater than -5? False Which is smaller: -1/400 or -1? -1 Which is smaller: -88/113 or 0? -88/113 Is -5118/31 less than -166? False Is -1 > -122? True Which is smaller: -87/490 or 1? -87/490 Is -1 at most -18/79? True Is 1454 at least 1454? True Which is smaller: 17664 or 17662? 17662 Which is greater: 0.05206 or 1/4? 1/4 Is 32 at least as big as -1/4? True Do -2/19 and -7/4 have the same value? False Which is smaller: -25/3 or -1/12? -25/3 Is 4 smaller than -10? False Which is greater: 0.0049 or 1? 1 Is 0.061 <= -0.4? False Which is greater: 3 or -4.34? 3 Which is smaller: 170/167 or 2? 170/167 Which is bigger: -2/5 or 0.00367? 0.00367 Is 0 >= 3/1136? False Is 3 < 35/13? False Is 23/3 at most as big as 9? True Which is smaller: -14020 or -14018? -14020 Which is smaller: -387 or -391? -391 Are 0.169 and 2 unequal? True Is 69 > 59? True Which is greater: -448/13 or -33? -33 Is -1 at most as big as 3/8555? True Is -1 smaller than -0.0628? True Is 0 smaller than -55? False Is 7034 bigger than 0? True Is 251 smaller than 252? True Is 0.088 less than 2/27? False Which is greater: 25 or 6? 25 Is 15.3 <= 0.3? False Which is greater: 0 or 3/217? 3/217 Is -1291 bigger than -1292? True Which is smaller: 2/2287 or -1? -1 Which is greater: 12 or 110? 110 Which is smaller: -67/322 or 1? -67/322 Are 7/59 and 1 equal? False Which is smaller: 0.2 or -362? -362 Which is bigger: -5/314 or 1? 1 Is 669 smaller than 693? True Which is greater: -1827 or 6? 6 Which is greater: 2/107 or -1? 2/107 Which is bigger: -71 or -1? -1 Does 2/5 = -9.6? False Which is bigger: -4.9 or 14/11? 14/11 Which is greater: 0.1 or -3135? 0.1 Is 1899 at most 1899? True Is -1 at least as big as 1/1642? False Which is bigger: 0 or -1/3014? 0 Which is greater: 3101 or 3102? 3102 Which is bigger: 622/15 or 42? 42 Is -1/4 greater than -2150? True Which is smaller: -128/9 or -15? -15 Which is greater: -3873 or -3872? -3872 Which is smaller: -523 or -524? -524 Are -1 and -35/23 non-equal? True Is -764 >= -764? True Are 1443 and 5/4 unequal? True Do -36556 and -36558 have the same value? False Is -76 smaller than -76? False Are 3/250 and 0 non-equal? True Is -0.22 >= -0.2? False Is -40578 < -40578? False Which is smaller: -3 or -58/15? -58/15 Which is bigger: -1 or 5/39? 5/39 Is 131 > 261/2? True Which is smaller: -0.17 or -88? -88 Which is smaller: -0.05 or 4.42? -0.05 Is 144 equal to 147? False Is -2904 less than or equal to 0.2? True Is 1 smaller than -2/98073? False Is -41 smaller than -38? True Which is smaller: -1/2 or -2232? -2232 Are 0.795 and -0.1 nonequal? True Are -1/79 and 0 non-e
{ "pile_set_name": "DM Mathematics" }
-1 Calculate 0 - 8 - (-2 - 1 - 1). -4 0 - (2 + 1 + 5 + -6) -2 What is 2 + -1 - 1 - (0 - 4)? 4 What is the value of -10 + 6 + -1 - (4 + -3)? -6 What is the value of 8 + (-21 - (-3 - 2) - -4)? -4 Calculate 7 + 3 + 0 + -6 + 2. 6 Calculate -5 + 7 + 5 - 6. 1 What is -1 + 1 + 7 - 2? 5 (8 - 11 - -2) + 0 -1 What is (-4 - -4) + 5 + -2? 3 What is the value of 0 + (-4 - (-4 - -2)) + 7? 5 What is 1 + (-1 - -9 - (-4 - -8))? 5 What is -27 + 24 + 0 + -1? -4 What is -1 + (2 + 5 - 6)? 0 (-1 - 0) + -7 + -11 + 17 -2 What is the value of -4 - (-2 + 0) - (-8 + 5)? 1 -12 - (-18 - -4 - -6) -4 (-7 - -2) + -2 + 7 + -3 -3 What is 12 - 13 - ((-7 - -1) + 5)? 0 Evaluate -10 + 2 - -5 - -3. 0 0 + 2 + (-1 - 3) + 1 -1 Evaluate (-5 - 4) + -2 - -5. -6 Evaluate (0 - (3 + -3)) + 2. 2 Evaluate 2 + 0 + 2 - 2. 2 What is -2 + 6 + -3 + -2 - -1? 0 What is the value of -4 - (2 - 1 - (4 + -3))? -4 What is the value of 3 - (0 - 4 - -6)? 1 -16 - -11 - (-4 - 2) 1 What is the value of -1 + (8 - 10) + -2? -5 What is (-3 - -1) + 6 + -2? 2 Calculate 2 + 1 + (6 - 4). 5 What is 1 - (3 + 5) - -10? 3 Calculate -9 + 4 - (-10 - -9). -4 What is the value of -1 + -2 + (-58 - -57)? -4 What is the value of -1 + 4 + (-3 - 4)? -4 Calculate (15 - 23) + (-1 - (-2 + 0)). -7 Evaluate 3 - (-2 - (-7 + 4)) - 3. -1 Evaluate -2 + (3 - ((-4 - -3) + 5)). -3 (2 - -1) + (0 - -2) 5 What is the value of 7 + (7 - 16) + 5? 3 Calculate (29 - 32) + (0 + -2 - -1). -4 What is (0 - 0) + (-3 - -4) - 0? 1 Evaluate -12 + 2 + 75 + -65. 0 2 + (-1 - -8) + -1 + -14 -6 Calculate 7 + (-5 - -9) + (-5 - 1). 5 Evaluate 1 + (-2 - (5 + -3 + -3)). 0 What is the value of ((2 - 0) + -3 - -1) + 3? 3 Evaluate -39 + 26 + (8 - 1). -6 Calculate 5 + 0 + 1 + -1. 5 What is 0 + 0 + -5 - (-308 - -299)? 4 What is the value of 4 - (23 + -15 + (-1 - -1))? -4 What is the value of -10 + 12 + -10 + 4? -4 Evaluate 7 + (-6 - -6) + -9. -2 What is the value of -7 + (-6 - 0) + 8? -5 -5 - (4 - (5 - -5) - -7) -6 Evaluate 6 + -8 - (10 + -5 - 9). 2 14 + (9 - 12) - 7 4 Evaluate (5 - 12 - -15) + -9. -1 (4 - 5 - -1) + 4 + 1 5 Evaluate 6 + (-3 - (-3 - (3 + -5))). 4 What is -4 - (-2 - -3) - -2? -3 Evaluate 6 - (-2 - (-5 - 7)). -4 4 + 0 - 4 - 3 -3 Evaluate -1 - -2 - (8 - (3 - 3)). -7 What is -3 + -1 - (-23 - -20) - -5? 4 Evaluate -1 + -3 + (0 - -1) + -2. -5 4 - 3 - 4 - 1 -4 Calculate (1 - (-1 + 0)) + 3. 5 Evaluate 0 - (4 + -1) - -8. 5 Calculate -5 + 0 - (-11 + (10 - 6)). 2 What is 0 + 3 + 6 + -11 + 5? 3 What is the value of -1 + (-13 - -8 - (-10 + 1))? 3 Calculate (-1 - 0) + -2 + -2. -5 What is the value of 1 - -2 - (27 - 29)? 5 Calculate 28 - 27 - (0 + -2). 3 Calculate 19 + -23 - (1 + 0). -5 What is the value of -2 + 2 - (-26 - -19)? 7 Evaluate (-3 - 3) + 0 + 4. -2 What is 12 + (-14 - (2 - 1))? -3 What is the value of -2 + 2 + (-5 - (-8 + 10))? -7 What is the value of -10 - -1 - (51 + -54)? -6 Calculate (4 - 2) + (-5 - (2 + 0)). -5 Evaluate -15 - (-9 - -8) - (-7 + 1). -8 Calculate 0 + -1 + 7 + (6 - 15). -3 Evaluate (-6 - -12) + (1 - 1). 6 What is the value of -5 - (0 - -4 - (0 + 3))? -6 What is 2 - (3 - -1 - 4)? 2 -4 - (8 + 0 + -8 + -6) 2 What is the value of (-4 - 1) + 2 + -1? -4 Calculate 2 + 2 + 2 + -4 + 0. 2 Calculate (0 - 2) + -1 - -3. 0 What is the value of 0 - 0 - (-7 + 16 + -10)? 1 Calculate (-5 - -5) + -2 + 4. 2 What is the value of 6 + (-8 - (3 + (3 - 9)))? 1 What is 14 + (-11 - 4 - -1)? 0 Evaluate (-17 - -9) + (-3 - -9). -2 What is the value of -2 + -1 + 1 + (-437 - -442)? 3 Calculate -11 + (9 - 2) + 4 + -6. -6 Evaluate -5 + 1 - (-7 - -8 - 4). -1 -2 - -5 - (1 - 0) 2 Evaluate -8 + 13 + (1 - 5) - -1. 2 Evaluate 8 - 3 - (2 - (-10 + 7)). 0 What is 1 + -8 + 13 + (0 - 1)? 5 Calculate (10 - (4 - 2)) + -4. 4 What is 0 - (0 - -2 - -3) - -5? 0 (10 - 20) + 15 + -1 4 What is the value of 4 + (4 - 5) + -2? 1 Calculate 4 + 1 - (28 - 16) - -5. -2 What is -11 - (-1 - (11 + -3))? -2 What is 1 - -4 - 0 - (-8 + 8)? 5 What is -1 + (7 + -1 - 5) - -3? 3 Evaluate -6 + 4 + -2 - (1 - 3). -2 What is 1 + (5 - 8) + 6? 4 Evaluate -24 - -18 - (-3 - 4 - -4). -3 Calculate 2 - (6 - 10) - 1 - 6. -1 What is (-2 - 0) + -11 + 11? -2 What is the value of -6 + (-7 - (-6 - -1))? -8 -9 + 2 + 1 - -9 3 What is 1 - (5 + 0 + -1) - 3? -6 Calculate -5 + (-7 - -5 - -5). -2 0 - (-4 - (4 - 8) - -2) -2 What is (7 - (-10 + 12)) + -2? 3 What is -2 + 4 + -9 - -7? 0 Evaluate (18 + -15 - (1 - -1)) + 2. 3 Evaluate -8 - -7 - 3 - (0 + 1). -5 What is the value of -2 + (0 - -5) - (-24 - -26)? 1 Evaluate (-1 + 12 - 6) + 0. 5 4 - (1 + -6 - (-5 - 2)) 2 Evaluate (3 + -1 + -1 - 0) + -3. -2 What is -14 + (2 - (-15 + 8))? -5 (-2 - -6) + (6 - (13 - 12)) 9 Calculate (-2 - (-1 - -1)) + -23 + 22. -3 Calculate (-5 - -5) + (-13 - -24) - 2. 9 2 + 0 - (11 - 1 - 6) -2 0 + -4 + (3 - 2) -3 Calculate 2 + (5 + -7 - (1 - -3)). -4 Calculate (2 - -8 - -4) + -8. 6 What is the value of 7 + (-9 - -6) + 1? 5 -2 + -4 - (0 - 6) 0 Calculate 4 + 1 + (1 - 1). 5 What is the value of 4 + (-6 - (2 - 1))? -3 Calculate 4 + (-6 - -1) + -2. -3 What is 0 - (9 - ((1 - -3) + 0))? -5 -4 + (-3 - (-4 + 0)) -3 What is the value of 1 + 1 + (-2 - (3 + -8))? 5 What is -1 + -1 - (4 + 1) - 0? -7 What is -8 + (-4 - -5) + 3 + 10? 6 Calculate 2 + (17 + -8 - 7). 4 Calculate (-4 - (6 - 13)) + 1 + -2. 2 2 + 1 + (-5 - (-3 + 3)) -2 What is -1 - -1 - -1 - (-22 + 19)? 4 Evaluate 4 - 5 - -6 - 11. -6 Evaluate (1 - 1) + -1 - (-41 - -40). 0 What is the value of -5 - -4 - (-5 - 1)? 5 Calculate 17 + -22 + 12 + 0. 7 What is the value of (2 + 1 - 10) + 4 + 3? 0 What is the value of (-31 - -36) + 1 + -7? -1 Evaluate -5 - (-15 - (-1 + (-4 - -1))). 6 Calculate -2 + 2 + 22 + -18. 4 -8 + (2 - 4) - -6 -4 What is the value of -4 + (-1 - -7) + (-7 - -8)? 3 What is the value of 2 - (1 - (-8 - (-7 + 1)))? -1 Evaluate (0 - -6 - 1 - 10) + -1. -6 Evaluate -1 + (72 - 71 - (-1 + 0)). 1 -4 - (3 - 3) - -3 -1 Calculate 11 + -4 + -4 + 1 + 0. 4 Calculate 2 + 5 + (-11 - -10) - 2. 4 -10 - (3 + (-1 - 4) - 1) -7 What is the value of 4 - (10 + (5 - 3) + -7)? -1 What is the value of -7 + 0 + 13 + 1 + 0? 7 Calculate 12 - (28 + -4) - -3. -9 What is the value of (2 - -1 - 2 - 4) + 4? 1 -8 - -1 - -4 - -9 6 Calculate -10 + 11 + 4 + (-3 - -2). 4 Calculate 1 + (3 + -9 - 2). -7 Evaluate 2 - (-2 + 12 + -4). -4 What is the value of 24 + -18 + 2 + -1 + 0? 7 Evaluate 12 + -3 + -1 + -4. 4 Calculate 8 + 4 + (-3 - 1 - 4). 4 Calculate (10 + -3 + -4 - 2) + 2. 3 What is the value of 4 - (4 - (4 + -2)) - -1? 3 What is the value of -3 + (1 - 2) + 9? 5 What is the value of 44 + -38 + 2 + -9? -1 Calculate -6 + (4 - 4) - -5. -1 -54 - -44 - (-4 - -1) - -18 11 What is the value of 6 + -7 + 5 + 1 + -4? 1 Evaluate (19 - 19) + (1 - 3). -2 What is -4 + 10 - 4 - (-5 + -2)? 9 Calculate 1 + -2 - (0 + -2) - 3. -2 What is -1 + -1 - ((-3 - -1) + 0)? 0 Calculate 1 - (-2 - 0 - (13 - 12)). 4 -4 - -2 - (0 - -2 - 2) -2 0 - (-3 + -3) - 6 0 14 - 2 - 14 - (0 - -1) -3 What is the value of 1 + (5 - 2 - -1) + -3? 2 -17 + 21 - (8 - 0) -4 Calculate 2 + -8 + (1 - -1). -4 What is the value of -8 - -9 - (-2 + 0) - 0? 3 Calculate 56 + -60 - (-6 - 1). 3 -1 - (-2 - -12) - (89 + -96) -4 Calculate -5 - (3 - 19 - -6). 5 What is the value of (13 - (5 + 1)) + (11 - 13)? 5 What is 4 + (6 - (5 - -5))? 0 -9 + 9 - (2 - -1 - 8) 5 What is -2 + (-4 - (5 - 4)) - -1? -6 Evaluate (5 + 6 - 3) + -7. 1 Calculate -7 + 2 + 2 + 4. 1 1 + 3 - (-19 + 24) - 3 -4 What is -4 - (-5 - (-11 - -7))? -3 18 - (-2 - -11) - 13 -4 12 - (1 + 12) - -9 8 What is 22 + -5 + -12 + -13? -8 -4 - 0 - (5 + -9 - 0) 0 What is the value of -1 + 0 + 1 - (5 + -6)? 1 Calculate -14 - -7 - (-5 + (3 - 7)). 2 What is (7 - (4 - 5)) + -16? -8 Calculate 6 - ((0 + -4 - -5) + 3). 2 Calculate (11 - 3) + (-5 - -8 - 6). 5 Calculate 2 + -9 - -4 - (1 - 0). -4 Calculate (8 - (0 - -5)) + 2 + -5. 0 Evaluate (7 + -8 - 3) + -2 - -7. 1 -9 + 5 - 6 - -7 - 2 -5 -4 + (2 - 8) + 6 + 5 1 What is the value of 6 + (-5 + 11 - 14)? -2 -1 + 2 + (-2 - (7 + -3)) -5 Calculate (0 - 2) + 2 - 1. -1 (-12 - (-7 + -2)) + -4 -7 Evaluate 1 + 16 + 7 + -10 + -5. 9 Evaluate -7 + 11 - (-1 - 0). 5 What is -5 - (-11 - (-4 - -5 - 0))? 7 (4 - 2) + (3 - 7) + 1 -1 Evaluate -7 + 1 - (14 + -8 + -7). -5 What is 2 - 1 - (7 + -3) - -3? 0 What is (-6 - 0) + (-2 + 19 - 16)? -5 Evaluate (-7 - (7 - 10)) + 1 + 2. -1 Evaluate -4 - ((-1 - 5) + -4 + 5). 1 What is 0 + (-10 - -6)
{ "pile_set_name": "DM Mathematics" }
e Is 499 a multiple of 16? False Is 48 a factor of 768? True Does 12 divide 441? False Is 128 a factor of 26679? False Is 26277 a multiple of 12? False Does 6 divide 786? True Is 22 a factor of 14696? True Is 11 a factor of 1941? False Does 7 divide 90? False Does 49 divide 8134? True Does 96 divide 3836? False Is 24 a factor of 11301? False Does 3 divide 292? False Is 19529 a multiple of 183? False Does 100 divide 19902? False Does 15 divide 614? False Does 8 divide 134? False Does 18 divide 11559? False Is 136390 a multiple of 10? True Is 8238 a multiple of 19? False Does 13 divide 377? True Is 41 a factor of 414? False Is 574 a multiple of 29? False Does 66 divide 38016? True Is 34 a factor of 18326? True Is 17150 a multiple of 115? False Is 151935 a multiple of 15? True Is 28 a factor of 952? True Is 8 a factor of 204? False Is 3560 a multiple of 4? True Does 10 divide 3906? False Is 39 a factor of 21036? False Does 9 divide 879? False Does 20 divide 4936? False Is 132 a multiple of 11? True Does 6 divide 5922? True Is 33 a factor of 1980? True Is 110 a factor of 14740? True Is 118 a factor of 1845? False Does 8 divide 352? True Is 29308 a multiple of 244? False Is 225 a multiple of 15? True Does 64 divide 2624? True Is 43 a factor of 1548? True Does 8 divide 14756? False Is 14 a factor of 8335? False Is 156 a multiple of 12? True Is 7 a factor of 910? True Is 21 a factor of 1092? True Is 7970 a multiple of 18? False Does 99 divide 41382? True Is 7 a factor of 1829? False Is 2 a factor of 2628? True Is 50 a factor of 67150? True Is 14 a factor of 5139? False Does 42 divide 2688? True Is 130 a factor of 32760? True Does 97 divide 2075? False Is 50 a multiple of 22? False Is 18 a factor of 3978? True Is 1690 a multiple of 13? True Is 6 a factor of 2288? False Does 8 divide 1116? False Is 44 a factor of 26224? True Does 122 divide 5663? False Is 2401 a multiple of 7? True Is 8457 a multiple of 10? False Is 695 a multiple of 5? True Does 14 divide 11987? False Is 3 a factor of 84? True Is 950 a multiple of 50? True Does 73 divide 5847? False Does 42 divide 2100? True Does 149 divide 3661? False Is 738 a multiple of 6? True Does 23 divide 6724? False Does 53 divide 3021? True Does 40 divide 49000? True Is 12472 a multiple of 10? False Does 5 divide 714? False Does 80 divide 985? False Does 11 divide 2057? True Is 693 a multiple of 35? False Does 156 divide 1092? True Does 121 divide 17866? False Does 113 divide 4452? False Does 5 divide 40? True Does 18 divide 4759? False Is 54 a factor of 702? True Is 54 a factor of 1858? False Is 26 a factor of 780? True Is 18486 a multiple of 39? True Is 1906 a multiple of 16? False Is 938 a multiple of 34? False Is 708 a multiple of 6? True Does 3 divide 287? False Is 2024 a multiple of 22? True Does 13 divide 2825? False Does 17 divide 833? True Is 48 a factor of 22128? True Is 1153 a multiple of 13? False Is 4626 a multiple of 2? True Is 82 a factor of 6805? False Does 110 divide 11347? False Does 3 divide 1133? False Is 7 a factor of 24764? False Does 216 divide 12960? True Is 48238 a multiple of 52? False Is 4830 a multiple of 23? True Does 11 divide 517? True Is 138 a factor of 15180? True Is 882 a multiple of 42? True Is 55 a multiple of 5? True Is 15 a factor of 1770? True Is 68191 a multiple of 233? False Does 23 divide 2645? True Is 34 a factor of 22918? False Is 3054 a multiple of 6? True Does 5 divide 373? False Does 15 divide 11641? False Is 1749 a multiple of 53? True Is 7776 a multiple of 54? True Is 1060 a multiple of 17? False Is 17071 a multiple of 21? False Is 959 a multiple of 19? False Is 24 a factor of 744? True Is 1140 a multiple of 20? True Is 15075 a multiple of 15? True Is 19018 a multiple of 4? False Is 9 a factor of 81? True Is 248 a multiple of 14? False Is 73 a factor of 2190? True Is 2 a factor of 2608? True Is 3468 a multiple of 23? False Does 19 divide 5897? False Does 14 divide 127? False Does 170 divide 4848? False Is 30 a factor of 11802? False Is 9 a factor of 585? True Does 13 divide 273? True Does 10 divide 618? False Does 12 divide 1551? False Is 7 a factor of 557? False Is 17 a factor of 3077? True Is 15 a factor of 690? True Does 7 divide 1379? True Is 26128 a multiple of 142? True Does 9 divide 6471? True Does 23 divide 41207? False Does 49 divide 1033? False Does 10 divide 23830? True Is 37 a factor of 12876? True Does 5 divide 13674? False Does 5 divide 6620? True Is 78 a factor of 13104? True Is 1056 a multiple of 12? True Is 3228 even? True Does 10 divide 950? True Does 7 divide 459? False Is 170 a factor of 37627? False Is 18 a factor of 59099? False Is 10 a factor of 11690? True Is 390 a multiple of 13? True Does 17 divide 4892? False Is 27 a factor of 6777? True Is 115 a multiple of 4? False Is 213 a factor of 20022? True Does 18 divide 405? False Is 35743 a multiple of 14? False Does 25 divide 7459? False Does 32 divide 13468? False Is 12 a factor of 908? False Does 26 divide 19656? True Does 11 divide 89? False Is 9 a factor of 510? False Is 120 a factor of 3480? True Does 17 divide 832? False Is 5 a factor of 2435? True Is 40 a factor of 2320? True Is 668 a multiple of 44? False Is 20171 a multiple of 6? False Does 19 divide 822? False Is 145 a multiple of 18? False Does 68 divide 21173? False Does 8 divide 1808? True Is 7568 a multiple of 8? True Does 35 divide 13092? False Is 46853 a multiple of 25? False Does 27 divide 13356? False Is 179 a factor of 29744? False Is 26 a factor of 88694? False Is 6 a factor of 5249? False Does 25 divide 1800? True Does 3 divide 1337? False Is 3780 a multiple of 6? True Is 742 a multiple of 53? True Is 498 a multiple of 46? False Is 11 a factor of 42977? True Is 3 a factor of 37719? True Does 36 divide 16611? False Does 31 divide 40735? False Does 89 divide 15139? False Is 20 a factor of 1513? False Does 35 divide 3367? False Is 59859 a multiple of 81? True Is 1311 a multiple of 23? True Does 9 divide 29348? False Is 1300 a multiple of 100? True Is 73 a factor of 4935? False Does 20 divide 1320? True Does 10 divide 49800? True Does 9 divide 1066? False Does 66 divide 3195? False Is 19 a factor of 1265? False Does 11 divide 1492? False Does 12 divide 1272? True Is 26 a factor of 15444? True Does 15 divide 945? True Is 19 a factor of 442? False Does 16 divide 6432? True Is 924 a multiple of 42? True Is 126 a multiple of 5? False Does 11 divide 11145? False Does 82 divide 3409? False Is 4 a factor of 103? False Is 282 a factor of 33850? False Does 4 divide 11204? True Is 53 a factor of 6861? False Does 12 divide 168? True Is 86 a factor of 2580? True Is 236 a factor of 92014? False Is 251 a multiple of 7? False Does 23 divide 1339? False Does 8 divide 936? True Is 36610 a multiple of 5? True Is 48416 a multiple of 232? False Does 26 divide 2886? True Is 21220 a multiple of 90? False Is 4393 a multiple of 6? False Does 26 divide 11256? False Is 8 a factor of 3256? True Is 127 a multiple of 10? False Is 7568 a multiple of 12? False Does 4 divide 220? True Is 4956 a multiple of 40? False Is 62 a factor of 19282? True Does 25 divide 17250? True Is 2434 a multiple of 25? False Is 11 a factor of 44? True Is 65 a factor of 8840? True Is 14 a factor of 3281? False Is 6 a factor of 660? True Is 77 a factor of 1924? False Is 2996 a multiple of 28? True Does 40 divide 280? True Is 42658 a multiple of 77? True Is 52 a factor of 1942? False Does 7 divide 1147? False Does 49 divide 4716? False Is 1311 a multiple of 19? True Is 1138 a multiple of 83? False Does 38 divide 2850? True Does 33 divide 528? True Is 57 a factor of 791? False Is 27 a factor of 351? True Is 41 a factor of 68240? False Is 7 a factor of 895? False Does 38 divide 3686? True Does 12 divide 12534? False Is 28 a factor of 420? True Does 20 divide 620? True Is 668 a multiple of 11? False Is 1071 a multiple of 52? False Does 15 divide 13963? False Does 8 divide 35737? False Is 9 a factor of 801? True Is 140 a multiple of 7? True Is 24008 a multiple of 10? False Does 14 divide 702? False Is 1163 a multiple of 26? False Is 3640 a multiple of 104? True Is 15 a factor of 450? True Is 7 a factor of 951? False Does 31 divide 117211? True Is 80 a factor of 93383? False Is 3
{ "pile_set_name": "DM Mathematics" }
+ 2. Let g(t) = 4*a(t) - m(t). Let g(x) = 0. What is x? -1, 1, 3, 6 Let -442/11*m - 10/11*m**2 + 360/11 = 0. Calculate m. -45, 4/5 Let h(d) = d**2 - 2. Let j(u) = -5*u**2 + 7*u + 8. Let b be -2*(-1 + 3)*-1. Let k(w) = b*h(w) + j(w). Suppose k(x) = 0. What is x? 0, 7 Let h = 127123/296457 + -10/42351. Find t, given that 10443/7 + h*t**2 - 354/7*t = 0. 59 Let f(j) be the second derivative of -j**4/60 + 1492*j**3/15 - 1113032*j**2/5 - 8703*j. Determine n, given that f(n) = 0. 1492 Factor 557 + 893 + 292 + 264*d**2 + 179*d + 3*d**3 + 1324*d + 472. 3*(d + 3)**2*(d + 82) Let j(s) be the second derivative of s**5/30 + 23*s**4/9 - 47*s**3/9 + 284*s. Find b, given that j(b) = 0. -47, 0, 1 Let j be (1/24*-2)/(-97 - -27). Let p(w) be the third derivative of 0*w + 1/210*w**5 + 0 + 0*w**3 - j*w**6 + 10*w**2 + 0*w**4. Determine d so that p(d) = 0. 0, 2 Let h(d) = -7*d**3 + d**2 + 4. Let u(m) = -114*m**3 - 127*m**2 - 87*m + 10. Let x(j) = 35*h(j) - 5*u(j). Factor x(z). 5*(z + 1)*(5*z + 3)*(13*z + 6) Factor -1/10*z**2 - 422/5 - 43/2*z. -(z + 4)*(z + 211)/10 Let x(c) be the second derivative of c**7/1680 - c**6/45 + c**5/16 - 92*c**3/3 - c + 30. Let t(d) be the second derivative of x(d). Factor t(m). m*(m - 15)*(m - 1)/2 Let t(a) = 3*a**3 + a**2 + 3. Let j(v) = v**4 + 101*v**3 + 616*v**2 + 660*v - 8658. Let q(b) = j(b) - 18*t(b). Let q(p) = 0. Calculate p. -22, -6, 3 Let s = 769 - 746. Let d(y) = y**2 - 8*y - 343. Let g be d(s). Factor 1/4 + 3/8*m + 1/8*m**g. (m + 1)*(m + 2)/8 Let j be (-65754)/(-12339) - (1 - -5). Let q = -2/457 - j. Factor 4/3*y + q*y**2 + 0. 2*y*(y + 2)/3 Let x(h) = -11*h**4 + 39*h**3 - 360*h**2 + 706*h - 480. Let p(v) = -21*v**4 + 84*v**3 - 720*v**2 + 1411*v - 960. Let n(y) = 6*p(y) - 11*x(y). Factor n(q). -5*(q - 8)*(q - 3)*(q - 2)**2 Let g be ((-90)/24)/(-5)*(2 - -2). Factor 36*t + 85*t**2 + 24*t**3 + 4*t**4 - 25*t**2 + 4*t**g. 4*t*(t + 1)*(t + 3)**2 Suppose -495*d = 641*d - 91*d. Factor 0*j - 5/3*j**4 + 5*j**3 + 20/3*j**2 + d. -5*j**2*(j - 4)*(j + 1)/3 Suppose -2*y = -7*y. Let k be -1 - ((-9)/3 - y). Factor -31*i**2 - 5*i**3 + 9*i**2 - 180*i - 28*i**2 - 10*i**k. -5*i*(i + 6)**2 Let r(c) be the third derivative of 0 + 1/180*c**5 - 4*c - 5/3*c**3 + 29/72*c**4 - 3*c**2. Suppose r(k) = 0. Calculate k. -30, 1 Let l(k) be the third derivative of -k**8/2520 - 11*k**7/1575 - k**6/45 + 16*k**5/225 + 5*k**2 + 44. Find a such that l(a) = 0. -8, -4, 0, 1 Let k(x) = 88*x**2 + 1938*x + 392. Let g(w) = -25*w**2 - 554*w - 112. Let i(b) = 18*g(b) + 5*k(b). Factor i(s). -2*(s + 28)*(5*s + 1) Let p(q) be the second derivative of -q**6/40 - 33*q**5/80 - 35*q**4/16 - 25*q**3/8 - q - 460. Factor p(d). -3*d*(d + 1)*(d + 5)**2/4 Let n = -7158 - -7160. Let q(a) be the first derivative of a**4 - a**2 - n*a - 2 - 2/5*a**5 - 1/3*a**6 + 4/3*a**3. Find t, given that q(t) = 0. -1, 1 Let r be -1 + 4 - (-231)/7. Suppose -r = -12*k - 12. Factor -t**2 - 2*t**2 - 25*t - t**k + 30 + 9*t**2. 5*(t - 3)*(t - 2) Let c be ((-110)/3)/((-102)/918). Let x be (-198)/c*(-1 - 0). Factor -12/5*j**3 + 3/5 + 18/5*j**2 - 12/5*j + x*j**4. 3*(j - 1)**4/5 Suppose -14 = -20*f + 4*f + 34. Let k = 374 + -1864/5. Suppose -3/5*p**f - 9/5*p**2 - k*p + 0 = 0. Calculate p. -2, -1, 0 Let l(q) = q**4 - 36*q**3 - 60*q**2 - 50*q - 9. Let i = 1 - -5. Let v(k) = -2*k**4 + 107*k**3 + 180*k**2 + 150*k + 28. Let m(b) = i*v(b) + 17*l(b). Factor m(c). 5*(c + 1)**3*(c + 3) Let c = -464 + 443. Let o be (532/190)/(c/(-15)). Find f such that -27/5*f**3 + 27/5*f**o + 6/5*f**4 + 3/5*f - 9/5 = 0. -1/2, 1, 3 Let r(o) be the third derivative of o**7/180 - o**6/108 - o**5/90 + 4*o**3/3 + 13*o**2 - 3. Let d(m) be the first derivative of r(m). Factor d(i). 2*i*(i - 1)*(7*i + 2)/3 Factor 148/9*x - 1/9*x**3 - 145/9*x**2 + 292/9. -(x - 2)*(x + 1)*(x + 146)/9 Suppose o = 231*x - 232*x + 9, -3*o - 4*x + 32 = 0. Let t(r) be the first derivative of 0*r + o*r**4 + 20/3*r**3 + 29 + 4*r**2 + 4/5*r**5. Factor t(m). 4*m*(m + 1)**2*(m + 2) Let -55/2*z**2 + 113/4*z**3 - 3/4*z + 0 = 0. Calculate z. -3/113, 0, 1 Let x(l) = l**2 + 23*l + 102. Let h be x(-13). Let q be 34/(-119) + (-29)/h. What is g in 3/2*g**2 + q*g**3 + 3/4*g + 0 = 0? -1, 0 Let h be (8 + -5 - -4) + 0 + 0. Suppose -25 = -2*z - 4*b - h, 0 = -2*z - b + 9. Find m such that 0*m**z + 123*m + 9*m**4 - 4*m**4 - 5*m**2 + 5*m**3 - 128*m = 0. -1, 0, 1 Let b = 9692 + -106378/11. Let u = 1192/55 - b. Factor u*c**4 - 2*c**3 - 8/5 - 2/5*c**2 + 2/5*c**5 + 16/5*c. 2*(c - 1)**3*(c + 2)**2/5 Let v(g) be the third derivative of -1/5*g**5 - 32/3*g**3 + 13/3*g**4 + 0 + 0*g - 117*g**2. Factor v(l). -4*(l - 8)*(3*l - 2) Let l be (-72)/96 - 131*(-2)/152. Let r = 48/19 + l. What is q in -q - 5/2*q**5 + 3/2*q**2 + r*q**3 + 0 - 3/2*q**4 = 0? -1, 0, 2/5, 1 Let r(d) = 24*d**2 - 12*d + 14. Let k(j) = 37*j**2 - 12*j + 14. Let v(f) = -2*k(f) + 3*r(f). Factor v(h). -2*(h - 1)*(h + 7) Let p(x) be the first derivative of 5*x**6/6 - 6*x**5 + 5*x**4 + 10*x**3 - 25*x**2/2 + 1326. Let p(q) = 0. What is q? -1, 0, 1, 5 Let 56*q**3 - 56*q - 989*q**4 - 993*q**4 - 92*q**2 + 1978*q**4 + 96 = 0. What is q? -1, 1, 2, 12 Factor -273*j + 33*j**4 + 1673*j**3 - 1691*j**3 + 207*j**5 - 99 - 222*j**2 - 204*j**5. 3*(j - 3)*(j + 1)**3*(j + 11) Let r = 278064 - 278059. Determine d so that 2/3*d**r - 2/3 - 1/6*d**4 - 10/3*d**3 + 8/3*d + 5/6*d**2 = 0. -2, -1, 1/4, 1, 2 Let s be 1027/316 + 2/(-8). Factor 19*t + 14*t + 10*t + 8*t**2 - 50*t + 11*t - 12*t**s. -4*t*(t - 1)*(3*t + 1) Let o(b) be the third derivative of 23*b**5/60 - 11*b**4/12 - b**3/6 - 40*b**2 + 68*b. Factor o(c). (c - 1)*(23*c + 1) Let i be (52/18 + -4)*3474/(-965). Solve -14/3*z**3 - 4/3*z**2 + 0*z**i + 8*z + 2/3*z**5 + 16/3 = 0. -2, -1, 2 Factor 135/2*n**2 + 25*n**3 + 85/4 + 5/4*n**4 + 65*n. 5*(n + 1)**3*(n + 17)/4 Let w(v) be the first derivative of -v**5/20 + 75*v**4/8 - 6577*v**3/12 + 8925*v**2 - 56644*v - 2926. Solve w(x) = 0. 7, 68 Suppose -853 = -155*r - 543. Find q such that 2/3 - 2/3*q + 1/6*q**3 - 1/6*q**r = 0. -2, 1, 2 Let f = -60296 - -60300. Factor 4*u**2 - 7/2*u**3 + 1/2*u**f + 8*u + 0. u*(u - 4)**2*(u + 1)/2 Factor 1388/5*r + 4/5*r**2 + 1384/5. 4*(r + 1)*(r + 346)/5 Factor 294*p - 163*p - 212*p**2 - 243*p - 4*p**3 + 816 + 72*p**2. -4*(p - 2)*(p + 3)*(p + 34) Let g be 12/32 + 48/(-128). Let u(v) be the third derivative of -125/3*v**3 - 325/24*v**4 + 0 + 29/24*v**5 + g*v - 16*v**2 - 1/32*v**6. Let u(o) = 0. What is o? -2/3, 10 What is s in -8/7*s + 0 - 96/7*s**2 - 18*s**3 = 0? -2/3, -2/21, 0 Let r(c) = 2*c - 1. Let d be r(3). Suppose 6 = 8*n - d*n. Solve s**2 - 4 + 6*s**n - 3*s**2 = 0. -1, 1 Suppose -20 = 3*h - 5. Let p(o) = 14*o**2 + 22*o + 86. Let r(u) = 12*u**2 + 23*u + 88. Let y(l) = h*p(l) + 6*r(l). Determine b so that y(b) = 0. -7 Suppose 1150/13*x + 4/13 - 1154/13*x**2 = 0. Calculate x. -2/577, 1 Factor -3/5*g**3 - 81/5*g**2 - 144*g - 420. -3*(g + 7)*(g + 10)**2/5 Let -300 - 54*i**2 - 87*i + 195*i**2 - 78*i**2 - 66*i**2 = 0. What is i? -25, -4 Let x(p) be the third derivative of -p**5/20 - 2*p**4 + 17*p**3/2 - 6253*p**2. Factor x(y). -3*(y - 1)*(y + 17) Let f(l) be the third derivative of -5*l**8/672 + 55*l**7/42 - 215*l**6/24 + 80*l**5/3 - 2125*l**4/48 + 265*l**3/6 - 582*l**2. Find z, given that f(z) = 0. 1, 106 Let r be (-16063424)/(-1008) + ((-12)/(-27))/(-2). Let a = -15900 + r. Factor a*c**3 - 300/7*c**2 + 120/7*c - 16/7. 2*(5*c - 2)**3/7 Let l = 13 + -9. Suppose -19*y = -l*y - 180. Factor 40 + g**2 + 58*g**3 - 63*g**3 + g**2 + 20*g - y*g**2. -5*(g - 2)*(g + 2)**2 Find d such that -286/3 - 96*d - 2/3*d**2 = 0. -143, -1 Let v(q) = -10*q - 3. Let k be v(-1). Suppose -k*j = j - 16. Find i such that -13 - 16 + 52*i + 16*i**4 - 52*i**3 - 4*i**j + 17 = 0. -1, 1/4, 1, 3 Let z(c) = -13*c - 40. Let g be z(-6). Suppose -3*d + g = o, d + 2*o = 12 - 1. What is p in -27*p**2 - d*p**2 - 35*p**2 + 21*p**4 - 18*p - 36*p**3 = 0? -1, -2/7, 0, 3 Let d = 677232 + -6095062/9. Factor 1/9*k + 0 + 3*k**2 + d*k**3. k*(k + 1)*(26*k + 1)/9 Let m be (-597)/(-210) - (6/(-20) + 62/140). Let c(j) be the second derivative of -2*j - m*j**4 + 0 - 4/5*j**2 - 12/5*j**3. Solve c(g) = 0. -2/9 Let p(z) = -z**2 + 17*z - 70. Let w be p(8). Let -6/5*n - 2/5*n**w + 0 = 0. Calculate n. -3, 0 Let d = 9865 - 769469/78. Let q(w) be the second derivative of 2/39*w**3 + 0 + 16*w + 0
{ "pile_set_name": "DM Mathematics" }
- -1) + (-8 - -23)? 9 Calculate (1 - (4 - (-6 - -4))) + 2. -3 Calculate -3 - (-11 - -5 - (-4 + -7)). -8 Calculate (2 - 5) + 1 - (-8 - -1). 5 What is the value of 0 + (-2 - -11) + -6 + 1? 4 -5 + 17 - 6 - 3 3 Evaluate -1 + (0 - -3) - 2. 0 -6 + (8 - -5) - (17 + 0) -10 Calculate -3 + 18 + -9 + (-7 - -1). 0 Evaluate 0 + (-3 - -3 - -3) + -2. 1 -1 + 8 + -11 + 4 0 Evaluate -7 + -1 + -4 + 5. -7 (1 - (-5 - -1)) + -44 + 42 3 Evaluate 6 + -10 + 6 + -4 - -7. 5 What is -3 + -2 - (-2 - -4 - 2)? -5 Evaluate 4 + -7 + 4 + 3 + 1. 5 What is the value of 10 - (-2 + (-3 - (5 - 14)))? 6 2 + (4 - (-2 + 7 - 0)) 1 Evaluate (-2 - -5) + (-2 - 3) + 0. -2 Calculate (-9 - -11) + -4 + 1. -1 Evaluate (3 + 0 - 0) + 0 + 2. 5 What is the value of 37 - 36 - (-1 + 7)? -5 What is the value of 0 + -3 - (2 - (5 - 5))? -5 What is the value of 0 + 3 + -14 + 14? 3 -1 + -1 + 5 + -16 + 9 -4 What is the value of -2 + 6 + -8 - 5? -9 What is (-4 + 8 - 10) + 6? 0 What is (7 - 13 - 0) + 6? 0 What is the value of 0 - (3 + (-3 - -2))? -2 2 + 2 - 4 - -3 - -2 5 Evaluate -13 - -18 - (2 - -1). 2 Evaluate 6 + -7 - (2 + 1). -4 Evaluate -18 + (18 - 7) + 2. -5 What is the value of -1 + 0 - (8 + -10 - -3)? -2 (1 - -2) + (-5 - (-7 + 4)) 1 -3 - (4 + -11) - (3 + -1) 2 Calculate 0 - (-3 + 3 - -4). -4 What is the value of 5 - (3 - (-4 + 3))? 1 Evaluate (-5 - (3 + -7)) + 5. 4 -1 - (-2 - (-3 + 4 - -2)) 4 What is -4 + 3 + -1 + 7? 5 Evaluate 20 + -4 - (5 - -2) - -1. 10 What is -1 - 6 - (-2 - 2 - -6)? -9 Evaluate -1 + 8 + -2 + -5. 0 What is 1 - -7 - (-1 - -8)? 1 8 - (-1 + -6 + 13) 2 Evaluate -4 - 2 - (2 + -3). -5 -3 + (11 - (1 - -7)) 0 What is the value of 6 + (-4 - -5) + -2? 5 What is 0 + 0 + -5 + (25 - 11)? 9 What is the value of -2 - 2 - -2 - (0 - -1)? -3 Calculate (1 - 0) + -8 + 5. -2 -1 + -2 - (3 - (-5 - -11)) 0 Calculate -8 - (7 - -2 - 19). 2 0 + 0 - (25 + -22) -3 Calculate 1 + (0 - -3) + 7 + -13. -2 Evaluate 2 - (-5 - (-8 - 2)). -3 -3 + 1 + 21 + -17 - 1 1 7 + -1 + (-6 - 0) 0 Calculate 2 - 4 - (1 - 1) - 0. -2 Evaluate 0 + 1 + 2 - (-9 + 8). 4 What is (18 - 14) + -1 + 2 + 0? 5 9 + (6 - 1) + -11 3 What is (-1 - 4) + -16 + (15 - 2)? -8 What is the value of 3 + 0 + 1 + 0? 4 Evaluate 2 + -4 + 1 - -3. 2 What is the value of -7 + 4 + -2 + 7 + -1? 1 -6 + (-9 - -9 - 0) -6 Evaluate 0 + 0 + (-8 - (-7 - 10)). 9 What is 1 + 0 + (1 + 0 - 2)? 0 -3 + (5 - 6 - -3 - 3) -4 What is the value of -9 + 0 - (17 + -29)? 3 What is the value of 8 + -7 + 1 + 5? 7 What is the value of 2 - (1 + 2 + -5)? 4 (-4 - -7) + 8 + -13 -2 -2 + (5 - 2) + (2 - 7) -4 What is 8 + -2 + -2 + -9? -5 What is (-2 - 2) + (-3 - -6)? -1 Evaluate -5 + -1 - -7 - 5. -4 Calculate -5 + -3 + -4 + 12. 0 What is 17 - 10 - (-5 + 9 + 8)? -5 Evaluate 6 - (-3 + 10 - -4). -5 What is the value of (-4 - -5 - (3 - 0)) + 2? 0 17 + -14 + 2 + 0 5 -5 + 3 + 4 + -6 -4 -2 + 1 + -7 + 0 + 17 9 Calculate 8 + (-18 - -5 - -6) - -4. 5 Evaluate (7 - (1 + 3 + 1)) + -3. -1 -3 + (2 - 6) - -8 1 What is the value of (7 - 3 - 2) + -1? 1 What is the value of 3 - 0 - 3 - 0? 0 What is -6 + 7 + (-9 - -1)? -7 Calculate -1 + 2 + (7 - 7). 1 -282 - -289 - (15 - (2 + -1)) -7 Calculate -3 - ((-1 - 2) + 0). 0 What is -2 + (3 - 5) - 0? -4 What is 1 + 3 + -4 - (-1 - 2)? 3 What is 3 + (-3 + -3 - -4 - -3)? 4 What is the value of (-10 - -24) + (-8 - 0)? 6 -4 + 8 - -2 - 4 2 (37 - 42) + (2 - 3) -6 What is the value of -3 + (-1 - (6 - 2))? -8 (-8 - -9) + (-6 - -1) -4 Evaluate 68 + -67 + -4 + (3 - 2). -2 -5 - -13 - (8 - 6) 6 What is 6 - -2 - (10 - 6)? 4 What is the value of (6 - 0) + (-3 - 4) - 1? -2 Evaluate -4 + 1 - (-13 + (18 - 10)). 2 What is (2 - -1) + 2 + (1 - 0)? 6 What is (-47 - -47) + (1 - 2 - 1)? -2 4 + 1 + (9 - 3) + -4 7 What is the value of 5 - (7 - (8 + (0 - 3)))? 3 What is the value of 1 + (4 - 4) - (0 - 0)? 1 Evaluate 9 + -7 + 4 + -1. 5 Calculate (2 - 0) + 15 - 10. 7 What is the value of (-5 + -4 - -1) + 4? -4 What is (0 - (-2 + 15)) + (26 - 21)? -8 What is (-1 - 1) + (15 + -1 - 7)? 5 Calculate -4 - (6 + (-2 - -9) + -8). -9 Calculate -1 - 3 - (-3 + (-2 - -3)). -2 What is the value of (5 - (-1 - (-3 - -2))) + -4? 1 Evaluate -3 - (3 - 5 - -1). -2 -3 + (0 - 6) + 10 1 Evaluate (-7 - (-14 + 7)) + (1 - 3). -2 What is the value of 0 + (-10 - -9) - (-5 + 1)? 3 What is -6 - -2 - (2 + -4 + 1)? -3 What is the value of 1 - -6 - 4 - 8? -5 What is the value of (64 - 61) + (5 + -1 - -2)? 9 Calculate 0 - (-4 - 1 - (-19 - -16)). 2 What is (-58 - -65) + (1 - (6 - 0))? 2 Calculate 16 + (-4 - 9) + 4. 7 Calculate (4 - (1 + 1)) + (-19 - -18). 1 Calculate 3 + 5 + (-11 - -7). 4 Evaluate 8 + -2 + -19 + 9. -4 (-2 - -3) + 4 - 3 - 5 -3 (-3 - 1 - -3) + 0 -1 What is the value of -3 + (-5 - -10 - 1) + 4? 5 What is (-11 - -4) + 24 + -8? 9 Calculate -3 - -12 - 2 - 13. -6 What is the value of 11 + 10 + -23 + 7? 5 Evaluate 3 - (0 + (-4 - -2)). 5 What is the value of (1 - 1 - (5 + -9)) + -1? 3 Evaluate 0 + 8 + -2 - (4 - 0). 2 -2 + (-13 - -13) + -1 + 2 -1 Evaluate (6 - (-18 + 9)) + -12. 3 1 + -5 + (0 - 1) -5 (-1 - 0) + 4 - 6 -3 Calculate -5 + 14 + (-12 - -6). 3 What is 9 + -15 + (3 - 2) + 5? 0 What is the value of 23 - 26 - (0 - 2)? -1 Evaluate (2 - (-4 - -6)) + 2. 2 What is the value of -2 + (0 - -5 - 4)? -1 What is the value of 6 - (42 - 46 - (0 - 14))? -4 Calculate (12 - (3 - -3)) + -11. -5 What is the value of 3 - (-4 + 6) - (-4 - -1)? 4 Calculate -9 + (-2 - -1) + 5. -5 (-1 - 4) + 103 + -107 -9 What is the value of (-2 - -6) + -3 - 4? -3 -2 - ((-1 - -2) + -8) 5 What is the value of (-2 - 0) + (-12 - -11) + 3? 0 Calculate 11 + 0 - (4 + -10 + 9). 8 Evaluate 0 + -2 + 11 + -3. 6 Calculate (-6 - 1) + (-103 - -106). -4 -10 - (-4 - (-1 + 3 + -3)) -7 Calculate (6 - (-8 - -15)) + 8. 7 What is the value of (0 - -2) + (0 - 2) - -2? 2 Evaluate 12 + (-15 - (0 - 6)). 3 Calculate 5 + 3 + -2 + -10 + 2. -2 What is 1 + -8 + (1 - 4 - -6)? -4 8 + (5 + -3 - 4) + -1 5 What is the value of -1 + 0 + -12 + 9? -4 Calculate 8 + (1 + -5 - (1 - 1)). 4 1 - (0 - 0) - (1 + -4) 4 What is the value of -1 + 0 + (4 - 4)? -1 Calculate 22 + -26 - (4 - -1). -9 Evaluate -111 + 106 - (0 + (-2 - 2)). -1 What is the value of 5 - (3 + -2 + -6) - 2? 8 What is the value of (2 - 5) + (2 - (0 - 4))? 3 Calculate -1 - ((-3 + 9 - 4) + 0). -3 Calculate 39 - 42 - (7 + -4). -6 What is -7 + 1 + 8 + 0 + 0? 2 What is 4 + (-9 - -2) + (-1 - -9)? 5 -2 - ((-6 - -2) + 1) 1 Evaluate (10 - 15) + 10 + -1 + -3. 1 What is 3 + -9 + -11 + 8 + 11? 2 Calculate 0 - (-7 + 11 - 10). 6 What is (1 + 1 - (6 - 6)) + -7? -5 Evaluate (-1 - 4) + (-39 - -45). 1 Calculate (-8 - 0) + (2 - -5). -1 -18 + 27 + (-10 - -3) 2 Calculate 0 + (16 - 11) + 2 + -3. 4 4 - (4 + (0 - 7 - -1)) 6 What is the value of -2 + -5 + 13 + -3? 3 (0 - (2 + -3 + 0)) + -2 -1 (-9 - (-9 - 5)) + -5 0 Calculate 2 + 4 - (-8 - -17). -3 Evaluate -4 + (-4 - -2) + 5. -1 What is the value of (32 - 29) + (-9 - 3)? -9 What is the value of -4 - -3 - (9 + -4 + -11)? 5 What is 2 - (-3 + 8 + 2) - -9? 4 Evaluate (14 - 14) + -3 + 0. -3 What is the value of (5 - (6 + -4)) + -7? -4 -1 - 7 - (21 + -27) -2 What is 7 + (-7 + 0 - (-2 - 2))? 4 Calculate -2 + (4 - (3 - 2)). 1 -2 + (8 + -8 + 5 - 7) -4 What is the value of 12 + 3 + -1 + -4 + -7? 3 What is -1 + 4 - (-21 - -25)? -1 Calculate 2 - (2 + (3 - 5)). 2 (-2 - (6 - 4) - 0) + 9 5 What is the value of (-7 - (12 - 9)) + 3? -7 6 + 9 - (-20 + 27) 8 What is the value of 4 + -2 + 6 - (3 - -1)? 4 What is the value of -5 - -4 - (1 - -3)? -5 Calculate (-2 - -1) + -9 + 9 + -2. -3 -4 - ((5 - -1) + -7) -3 What is -1 + 3 + -4 - (0 + -4)? 2 Calculate 0 - (1 - -2) - (48 - 50). -1 What is the value of 1 - (-5 - (-6 - -2))? 2 What is -3 + 2 + (0 - (2 - 1))? -2 What is the value of -4 + 0 + (-8 - -15 - -6)? 9 (0 - 1 - 2) + (-3 - 0) -6 What is (-3 + 0 - 1) + (-37 - -38)? -3 Calculate (3 - (1 + 0)) + 338 + -341. -1 What is -13 + 1 + 2 + -6 + 11? -5 What is the value of -45 - -41 - (0 + (-2 - 0))? -2 What is the value of (-4 - 0) + (-48 - -55)? 3 What is (-9 - -23) + -8 - 0? 6 What is the value of -6 + (11 - 2) + -12? -9 What is (-3 - -5) + -5 + 3 + 2? 2 Evaluate -5 - (-13 - -8) - (-2 - 1). 3 Calculate 1 + -3 + 1 + 5. 4 Calculate (-9 - -8) + 1 + -2. -2 What is the value of 7 + -6 + -4 + 4? 1 What is -2 + 1 - ((3 - 6) + 4)? -2 Evaluate (2 - -1) + -2 + (4 - 1). 4 Evaluate (-6 - -3) + 7 + -11. -7 What is -7 + 1 + 0 + -3? -9 Evaluate
{ "pile_set_name": "DM Mathematics" }
*2 - 44162981*y**2. 52*y**2 Collect the terms in -25*g**2 - 95*g**2 - 41*g**2 - 40*g**2 - 24*g**2 + 9*g**2. -216*g**2 Collect the terms in -29425*z - 22028*z + 8321*z + 9948*z - 21582*z. -54766*z Collect the terms in 357 - 9*v + 352 - 709 - 82*v + 41*v + 40*v. -10*v Collect the terms in 19 - 1239559*k + 13 - 32. -1239559*k Collect the terms in -1103*p + 0 + 0 + 676*p + 567*p. 140*p Collect the terms in -21*q**2 + 68*q**3 - 71*q**3 + 118*q**3 + 14*q**2 + 7*q**2. 115*q**3 Collect the terms in 9901429*o - 9901416*o - 425575 + 425575. 13*o Collect the terms in -1311*d + 220*d - 1583*d + 464*d + 68. -2210*d + 68 Collect the terms in -6255104*n**2 + 9125105*n**2 + 10508753*n**2. 13378754*n**2 Collect the terms in -930 + 36*k**2 + 441 + 489. 36*k**2 Collect the terms in 8*o - 346*o**2 - 32*o + 86*o + 348*o**2. 2*o**2 + 62*o Collect the terms in 5872*m - 34 + 5883*m - 11735*m + 34. 20*m Collect the terms in 815*c + 277 - 2298*c + 822*c - 38 + 660*c + 173. -c + 412 Collect the terms in 48202 + 92618 - 16457 + 5*u. 5*u + 124363 Collect the terms in -4875*w + 1608*w - 7365*w. -10632*w Collect the terms in -33823*t + 35150*t - 38102*t - 86719*t. -123494*t Collect the terms in 50*x + 53*x + 103 + 10*x + 47*x + 49*x - 210*x. -x + 103 Collect the terms in 2*c**3 + 21264504735 - 21264504735. 2*c**3 Collect the terms in -422*c**2 + 135*c**2 - 304*c**2. -591*c**2 Collect the terms in 64303*w - 128665*w + 64364*w. 2*w Collect the terms in 76*j + 87*j - 46*j**3 - 163*j + 93*j**3 - 34*j**3. 13*j**3 Collect the terms in 212066*l**3 + 3*l - 3*l + 0*l - 212050*l**3. 16*l**3 Collect the terms in 1028*p**2 - 3151*p**2 + 1077*p**2 - 306*p**3 + 1046*p**2. -306*p**3 Collect the terms in -146*w**2 - 48*w**2 + 555*w**2 + 38*w**2. 399*w**2 Collect the terms in 6*z - 3*z**2 + 22394 + 23*z**3 - 21*z**3 - 2*z. 2*z**3 - 3*z**2 + 4*z + 22394 Collect the terms in 64 - 35 - 43 + 14 - 120*q**2. -120*q**2 Collect the terms in -1261179*f + 2522372*f - 48*f**2 - 1261192*f. -48*f**2 + f Collect the terms in -155 + 5*f - 4 - 6 + 173 - 8. 5*f Collect the terms in -44158*z + 23034*z + 22860*z. 1736*z Collect the terms in -2*t + 2*t + 323 + 200 - 2*t**2 + 342 - 865. -2*t**2 Collect the terms in 27 + 48 + 75 - 147 + 8*h**2. 8*h**2 + 3 Collect the terms in -31244899 - 3*a + 93734698 - 31244896 - 31244903. -3*a Collect the terms in x - 285*x**3 - 80*x**3 + 2*x**2 - 310 + 796 + 63*x**3. -302*x**3 + 2*x**2 + x + 486 Collect the terms in 12*x - 62 + 12*x - 23*x - 3*x**2. -3*x**2 + x - 62 Collect the terms in 879*i + 11456*i + 877*i - 13211*i. i Collect the terms in -1346*p + 455*p + 520*p + 367*p. -4*p Collect the terms in -1518413*m + 1518413*m + 189749*m**3. 189749*m**3 Collect the terms in -1 - 161771702*p - 13*p**2 + 161771702*p. -13*p**2 - 1 Collect the terms in -9543*n + 315*n + 17887*n. 8659*n Collect the terms in 4533 + 2*b**2 - 4038 - b**2. b**2 + 495 Collect the terms in -4*d - 24*d - 154*d + 43 - 6*d**2 + 4*d**2 - 54*d. -2*d**2 - 236*d + 43 Collect the terms in -16*q + 269*q**3 - 274*q**3 - 179 + 179 - 3*q**2. -5*q**3 - 3*q**2 - 16*q Collect the terms in 95*q - 331*q + 85*q + 79*q - 168*q**3 + 72*q. -168*q**3 Collect the terms in 6094*x + 12 - 24628*x + 6090*x + 6092*x + 6357*x - 12. 5*x Collect the terms in -146*v**2 + 11*v**2 + 8*v**2 - 3 - 296*v**2 - 65*v**2. -488*v**2 - 3 Collect the terms in -1 - 795*g**3 - 2148*g**3 + 575*g**3 + 1. -2368*g**3 Collect the terms in 324574*l + 45837*l + 185766*l. 556177*l Collect the terms in 117 + 1872*t**3 - 316*t**3 + 3971*t**3. 5527*t**3 + 117 Collect the terms in -5*u**3 + 4*u**3 - 19908346397693*u + 19908346397693*u. -u**3 Collect the terms in -282080521*g**3 - 2*g + 94026840*g**3 + 94026842*g**3 + 94026841*g**3 + 2*g. 2*g**3 Collect the terms in 1 - 2 - 377*y**2 - 1138*y + 4 - 5. -377*y**2 - 1138*y - 2 Collect the terms in -256*y + 1 + 113*y - 1 + 182*y. 39*y Collect the terms in -857*h**3 - 3661*h**3 + 11748*h**3 + 10680*h**3. 17910*h**3 Collect the terms in 7562073*a**2 - 3781030*a**2 - 3781014*a**2 - 1. 29*a**2 - 1 Collect the terms in -9*q - 444*q**2 + 24*q - 12*q + 4*q - 7*q. -444*q**2 Collect the terms in -262034*p + 131016*p + 131005*p + 1. -13*p + 1 Collect the terms in -5 - 6579*v**2 + 13300*v**2 + 3 + 2 + 0 - 6722*v**2. -v**2 Collect the terms in 54 + 30*y**3 - 13*y**3 + 17*y**2 - 25*y + 58 - 19*y**2. 17*y**3 - 2*y**2 - 25*y + 112 Collect the terms in 73594*q + 43914*q - 11924*q - 8749*q + 310*q. 97145*q Collect the terms in 96*k**2 - 6*k**3 + 10*k**2 + 7*k**3 + 13. k**3 + 106*k**2 + 13 Collect the terms in -36*c - 42*c + 259766 + 76*c - 259813. -2*c - 47 Collect the terms in 93074632 - 41*t**3 - 93074632. -41*t**3 Collect the terms in -3 - 192*n**2 - 34*n**2 + 5 - 3. -226*n**2 - 1 Collect the terms in -2*b**3 + 3*b**3 - 102 + 102 - 20468*b. b**3 - 20468*b Collect the terms in 2*p + 173 + 194 - 367 + 296*p**2 - 1648*p**2. -1352*p**2 + 2*p Collect the terms in -143*s - 1 - 141*s + 284*s - 3780403*s**3 + 3780410*s**3 + 1. 7*s**3 Collect the terms in 471*p**2 - 426*p**2 + 743*p**2 + 238*p**2. 1026*p**2 Collect the terms in 59*r - 59*r + 129879*r**2 + 3*r**3 - 129416*r**2. 3*r**3 + 463*r**2 Collect the terms in -16*l**3 - 97032*l**2 + 18*l**3 - 105409*l**2. 2*l**3 - 202441*l**2 Collect the terms in -259*o**2 + 4*o + 282*o**2 + 404 - 9*o. 23*o**2 - 5*o + 404 Collect the terms in -61*d + 18268*d**2 + 25*d - d. 18268*d**2 - 37*d Collect the terms in 359*i + 13*i**2 + 534*i - 17 + 16. 13*i**2 + 893*i - 1 Collect the terms in -237306*u - 237310*u + 711893*u - 237307*u. -30*u Collect the terms in -305*n - 248*n + 130*n + 132*n - 429*n. -720*n Collect the terms in -64*z**3 + 512*z**3 - 45*z**2 - 444*z**3. 4*z**3 - 45*z**2 Collect the terms in -12*u - 14*u + 38*u - 1057 + 1055 - 5*u. 7*u - 2 Collect the terms in 524*x**2 + 80 + 26 - 262*x**2 - 283*x**2 + 4*x**3. 4*x**3 - 21*x**2 + 106 Collect the terms in -542 + 2151 + 880 + 0*l - 2*l. -2*l + 2489 Collect the terms in -484*v**3 + 174*v**3 + 131*v**3 + 180*v**3 + 660 - 660. v**3 Collect the terms in -118510*x**2 + 39503*x**2 + 39507*x**2 - 10*x**3 + 39500*x**2. -10*x**3 Collect the terms in -63*u**2 + 7*u**3 - 60*u**2 - 65*u**2 - 63*u**2 + 279*u**2 - 26*u**2. 7*u**3 + 2*u**2 Collect the terms in 4572*r - 1180*r - 1183*r - 3*r**2 - 1033*r - 15*r**2 - 1176*r. -18*r**2 Collect the terms in -935528*o**2 + 467794*o**2 + 467749*o**2. 15*o**2 Collect the terms in 59892*u + 212197*u + 365798*u. 637887*u Collect the terms in 21763*x + 21760*x - 65287*x + 21762*x + 117*x**2. 117*x**2 - 2*x Collect the terms in -5*a**3 + 92*a**2 + 17855 - 2*a + 2*a - 17853. -5*a**3 + 92*a**2 + 2 Collect the terms in -14*d + 20*d + 7*d - 23 - 164. 13*d - 187 Collect the terms in -2893534*x**3 - 2893422*x**3 + 5786959*x**3. 3*x**3 Collect the terms in -236218*s**3 - 67 - 49269*s**3 - 55 + 122. -285487*s**3 Collect the terms in -59633230*t + 377*t**3 + 59633230*t. 377*t**3 Collect the terms in -23496 - 9*l**2 + 11771 + 11784. -9*l**2 + 59 Collect the terms in 85*q + 85*q + 99*q + 1 + 85*q - 369*q. -15*q + 1 Collect the terms in 21670 - 5135 + 33808 - 10*h**2. -10*h**2 + 50343 Collect the terms in 4*h**3 + 8*h**3 - 49 - 13*h**3 + 54 + 3792*h. -h**3 + 3792*h + 5 Collect the terms in 152589*v - 76640*v - 75951*v. -2*v Collect the terms in -3743123*s**3 + 1871581*s**3 + 1871554*s**3. 12*s**3 Collect the terms in 6*w**2 + w**3 + 250*w + 18 + 241*w - 15 - 192*w. w**3 + 6*w**2 + 299*w + 3 Collect the terms in 7640 - 1908 - 1908 - 17*s - 1911 - 1913. -17*s Collect the terms in -46776*u**2 + 93836*u**2 - 78317*u**2. -31257*u**2 Collect the terms in -987 - 7*o + 2*o - 793 + 1773. -5*o - 7 Collect the terms in -998*l**3 + 2*l + 22620*l**2 - 22620*l**2. -998*l**3 + 2*l Collect the terms in 364 + 350 - 714 + 32466*s. 32466*s Collect the terms in -4151 + 4000 + 10923 + q**3 - 2*q. q**3 - 2*q + 10772 Collect the terms in -979*j**2 - 150*j**2 - 67*j**2 + 0*j**2. -1196*j**2 Collect the terms in 220*g + 184*g - 213*g + 358*g + 259*g - 16*g. 792*g Collect the terms in 22625*o**2 + 746*o**2 + 9442*o**2 - 565*o**2. 32248*o**2 Collect the terms in -8 - 5 - 7 + 32*i - 14 + 34. 32*i Collect the terms in 357*y - 181*y + 474*y**3 - 176*y - 503*y**3. -29*y**3 Collect the terms in 5*v - 9*v + 8*v + 8*v - 2*v + 61 + v. 11*v + 61 Collect the terms in
{ "pile_set_name": "DM Mathematics" }
eplacement from {u: 2, i: 10, t: 4}? 3/28 Four letters picked without replacement from lleeellwweelwle. Give prob of picking 1 e and 3 l. 8/91 Four letters picked without replacement from kmkikiki. Give prob of picking 3 k and 1 m. 2/35 Three letters picked without replacement from papprpplpaaprappppl. What is prob of picking 3 p? 55/323 What is prob of picking 1 n and 1 y when two letters picked without replacement from {n: 4, q: 1, e: 1, p: 3, y: 4}? 8/39 What is prob of picking 3 u and 1 n when four letters picked without replacement from unlunuuuuul? 7/33 Calculate prob of picking 1 r, 1 k, and 1 q when three letters picked without replacement from {k: 2, q: 8, r: 5, m: 1, i: 1}. 2/17 Three letters picked without replacement from rmmyymmmyymryrmmr. Give prob of picking 1 m and 2 r. 6/85 What is prob of picking 2 l and 2 t when four letters picked without replacement from {t: 13, l: 6}? 195/646 Calculate prob of picking 2 p, 1 a, and 1 q when four letters picked without replacement from {p: 2, b: 1, a: 4, q: 1}. 2/35 Two letters picked without replacement from {f: 18, x: 2}. Give prob of picking 1 x and 1 f. 18/95 Two letters picked without replacement from ksztsz. What is prob of picking 2 t? 0 Two letters picked without replacement from {y: 10, i: 4}. What is prob of picking 1 i and 1 y? 40/91 Two letters picked without replacement from {v: 1, t: 2, a: 2, w: 1, i: 4, n: 5}. Give prob of picking 1 i and 1 t. 8/105 Two letters picked without replacement from piwappip. Give prob of picking 1 p and 1 a. 1/7 Calculate prob of picking 2 f when two letters picked without replacement from {h: 7, f: 9}. 3/10 Four letters picked without replacement from gcgcc. What is prob of picking 2 c and 2 g? 3/5 Four letters picked without replacement from {g: 1, i: 3, u: 3, d: 3, m: 4, f: 2}. What is prob of picking 1 i, 1 d, and 2 f? 9/1820 Two letters picked without replacement from {f: 5}. Give prob of picking 2 f. 1 Two letters picked without replacement from tttpawzrwtpa. What is prob of picking 1 a and 1 t? 4/33 What is prob of picking 2 d, 1 x, and 1 r when four letters picked without replacement from rdxknkdxkjjn? 2/495 What is prob of picking 2 u and 2 w when four letters picked without replacement from {u: 3, w: 3, l: 2}? 9/70 Two letters picked without replacement from {y: 8, o: 2, s: 1, e: 4}. Give prob of picking 1 o and 1 s. 2/105 What is prob of picking 3 f when three letters picked without replacement from {m: 2, f: 4}? 1/5 Two letters picked without replacement from fubvlbsf. What is prob of picking 1 l and 1 v? 1/28 Calculate prob of picking 1 n and 1 r when two letters picked without replacement from rrorrownrobr. 1/11 Three letters picked without replacement from iiipippmmmpippmmpp. Give prob of picking 2 i and 1 m. 25/408 Three letters picked without replacement from liiiiififlilli. Give prob of picking 1 i and 2 f. 2/91 Calculate prob of picking 2 o when two letters picked without replacement from tottksokokotkkt. 2/35 What is prob of picking 3 e when three letters picked without replacement from eeieeeeeieeeie? 165/364 Calculate prob of picking 1 t, 1 u, and 1 k when three letters picked without replacement from {t: 5, k: 3, u: 5}. 75/286 Calculate prob of picking 2 j when two letters picked without replacement from {j: 5, a: 11, i: 1}. 5/68 Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {p: 3, t: 1}. 1/2 Calculate prob of picking 1 j, 1 n, and 2 f when four letters picked without replacement from {j: 2, f: 4, n: 1, v: 7}. 12/1001 Three letters picked without replacement from {b: 5, v: 7}. Give prob of picking 2 b and 1 v. 7/22 Four letters picked without replacement from {e: 3, t: 4, i: 4}. Give prob of picking 3 t and 1 e. 2/55 What is prob of picking 1 r and 2 x when three letters picked without replacement from {g: 1, y: 4, x: 4, r: 2}? 4/55 Calculate prob of picking 3 p and 1 u when four letters picked without replacement from ppupppuppppuuupppppp. 455/969 Four letters picked without replacement from uuuuuuupppupuu. Give prob of picking 3 p and 1 u. 40/1001 Two letters picked without replacement from rrooaiiaiwowrrwi. What is prob of picking 2 w? 1/40 Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {j: 5, w: 2, c: 1, v: 4, k: 2}. 8/91 Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {e: 1, z: 12, w: 7}. 7/190 Two letters picked without replacement from {w: 1, r: 10, p: 4, i: 2}. Give prob of picking 2 i. 1/136 Four letters picked without replacement from agamjccciiac. What is prob of picking 2 i, 1 a, and 1 m? 1/165 What is prob of picking 1 y and 1 r when two letters picked without replacement from jlylbrj? 1/21 Calculate prob of picking 2 a and 1 k when three letters picked without replacement from {a: 2, l: 2, k: 3, g: 2}. 1/28 Three letters picked without replacement from {g: 2, v: 2}. What is prob of picking 1 v and 2 g? 1/2 Three letters picked without replacement from bbdqffqqqfffffbffbqz. What is prob of picking 2 f and 1 b? 12/95 What is prob of picking 1 g and 1 c when two letters picked without replacement from cggffcctggcbcb? 20/91 Two letters picked without replacement from fiiriircd. Give prob of picking 1 d and 1 i. 1/9 Calculate prob of picking 1 r and 1 h when two letters picked without replacement from {h: 2, a: 10, u: 6, r: 2}. 2/95 Calculate prob of picking 1 w and 1 b when two letters picked without replacement from ddzjjppzdpwbbj. 2/91 Two letters picked without replacement from cccaafac. What is prob of picking 2 a? 3/28 Calculate prob of picking 1 a and 1 c when two letters picked without replacement from aacaaaaaaaaacaaaaaa. 34/171 What is prob of picking 4 a when four letters picked without replacement from tataaaaaataaaa? 30/91 Two letters picked without replacement from ukabkkqakhkkuaq. What is prob of picking 1 q and 1 b? 2/105 Two letters picked without replacement from ijkkttuf. Give prob of picking 1 u and 1 f. 1/28 What is prob of picking 1 s and 2 y when three letters picked without replacement from btbyssytb? 1/42 Calculate prob of picking 1 n, 1 v, and 1 d when three letters picked without replacement from {m: 1, d: 5, v: 3, q: 1, n: 1}. 1/11 Four letters picked without replacement from {f: 6, y: 4, n: 3}. Give prob of picking 3 f and 1 n. 12/143 Calculate prob of picking 2 i and 1 t when three letters picked without replacement from itttptbtittiitt. 54/455 Calculate prob of picking 1 g and 1 a when two letters picked without replacement from njaxxgh. 1/21 Four letters picked without replacement from {u: 6, k: 6}. What is prob of picking 4 u? 1/33 Four letters picked without replacement from {i: 1, z: 2, m: 2, c: 1}. What is prob of picking 1 i, 2 m, and 1 z? 2/15 What is prob of picking 1 h and 3 d when four letters picked without replacement from {d: 11, p: 1, j: 1, r: 3, h: 1, c: 2}? 55/1292 What is prob of picking 3 y when three letters picked without replacement from {l: 4, f: 2, y: 4, g: 1}? 4/165 Four letters picked without replacement from ffaffafaxffx. Give prob of picking 1 f and 3 a. 7/495 What is prob of picking 1 g and 1 r when two letters picked without replacement from {i: 6, g: 5, v: 1, r: 6}? 10/51 Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {o: 3, x: 2, t: 5}. 2/9 Four letters picked without replacement from {s: 9, e: 4, b: 3}. Give prob of picking 2 e, 1 b, and 1 s. 81/910 What is prob of picking 1 v and 1 f when two letters picked without replacement from fvfv? 2/3 Calculate prob of picking 1 b and 1 u when two letters picked without replacement from kboksbu. 2/21 Two letters picked without replacement from {m: 1, i: 3, f: 4, z: 1, j: 2}. Give prob of picking 1 m and 1 i. 3/55 Two letters picked without replacement from {o: 1, f: 3}. What is prob of picking 1 f and 1 o? 1/2 Calculate prob of picking 1 q and 1 r when two letters picked without replacement from rsrrssqrrqqsssr. 6/35 Three letters picked without replacement from oqqqqqtmqtqmqq. Give prob of picking 2 q and 1 o. 9/91 Four letters picked without replacement from kekekekwwee. What is prob of picking 1 w and 3 e? 2/33 Three letters picked without replacem
{ "pile_set_name": "DM Mathematics" }
pose 27 = a*b + 4*h, 0 = 2*b + 5*h + 13 - 38. Suppose -100 = -b*w + 5. Is 16 a factor of w? False Let x = -564 + 1176. Does 28 divide x? False Suppose x + 728 = 2*x. Suppose -4*j + 4*n - 256 + x = 0, 2*j - 4*n = 234. Does 17 divide j? True Let t(y) = -169*y - 103. Is 12 a factor of t(-2)? False Suppose 6*t = -5*t + 4345. Suppose -4*d + 573 = -t. Does 22 divide d? True Suppose 0*f + 7*f + 532 = 0. Let m = f + 118. Is m a multiple of 6? True Suppose 43*t - 22*t - 52479 = 0. Is t a multiple of 49? True Suppose 21 = p + 2*p. Suppose -9*x = -p*x + 2. Let l(u) = 77*u**2 + 2*u + 2. Is l(x) a multiple of 21? False Let j be -7*(-11)/(77/12). Let h be (-1 + -5)*(-4)/j. Suppose 4*z + 34 = h*t + 3*z, -3 = -t + 4*z. Does 5 divide t? False Suppose -4*i + 261 + 411 = -4*r, 5*i + 5*r = 850. Is 7 a factor of i? False Let n(b) = -b**2 + 9*b + 263. Is 17 a factor of n(20)? False Let i = 12 + -21. Let u be ((-2)/(-3))/(1/i). Let b(h) = h**2 - 2. Does 10 divide b(u)? False Suppose 0 = 4*x + 14*x - 738. Is x even? False Does 33 divide (66/(-12) + 6)*(-10990)/(-5)? False Let f be (-3)/(-12)*-2*-20. Let b be 2/f + (-28)/(-10). Suppose i + b*g - 37 = 5*g, 15 = -3*g. Is i a multiple of 9? True Suppose 9*c - 4*c - 26 = 2*i, -2*c - 3*i = -18. Suppose c*w - 260 = -4*w. Does 6 divide w? False Suppose 3*s - 3*y + 27 + 126 = 0, 2*s = -5*y - 102. Let a = -36 - s. Let x = 44 - a. Does 9 divide x? False Does 5 divide 16/(-40) - 527/(-5)? True Let w be 3 + -2 + 4/2. Let o(p) = -2*p + 2 + 14 + 0 + p**2 + w*p. Is o(-7) a multiple of 23? False Suppose 0 = -0*c + 3*c - 9. Suppose -c*h = -g + 20, 0*g - 4*h = 5*g - 100. Is 10 a factor of g? True Suppose 2*t = 4*q + 88, 0*q - 5*q = -t + 35. Is t a multiple of 10? True Suppose 0 = -3*r - 12, 5*h - r + 3*r - 307 = 0. Is 2 a factor of h? False Let r(b) = b**2 - 14*b - 113. Is r(37) a multiple of 31? False Let w = 387 + -19. Is w a multiple of 78? False Let j(r) = -10*r - r**2 + 2*r**2 - 7*r + 29 - 4*r. Is 8 a factor of j(21)? False Suppose 4*n - 364 = 6*n + 4*b, -582 = 3*n - 3*b. Let l = n - -267. Is l a multiple of 11? True Suppose 0 = 8*o + 1738 - 10202. Is 46 a factor of o? True Does 16 divide (-112)/6*(-204)/119? True Suppose 3*m = m - 2*u + 216, -2*m + 3*u + 191 = 0. Suppose 0 = 2*j - 331 + m. Is j a multiple of 19? True Does 37 divide 0/(16/(-4)) - -188? False Let w(s) be the third derivative of s**5/60 + s**4/4 + 5*s**3/6 + 9*s**2. Suppose -7 = v - 0. Does 6 divide w(v)? True Let k = -124 + 367. Is 12 a factor of k? False Suppose 94*t = 95*t - 362. Is t + (8/5 - 2/(-5)) a multiple of 14? True Let u = 90 + -90. Suppose u = 5*k - 11*k + 246. Does 41 divide k? True Suppose 3*f = -2*f - 50. Let n(g) = -g**3 - 11*g**2 - 11*g + 8. Let u be n(f). Let t = -15 + u. Does 3 divide t? True Let l(o) = 11*o**2 - 35*o + 9. Let i(h) = 5*h**2 - 17*h + 4. Let d(j) = -9*i(j) + 4*l(j). Let a be 7*-4*(-2)/14. Is 7 a factor of d(a)? False Let k = 525 - 355. Does 34 divide k? True Let d(c) = c**3 - 3*c**2 + 5*c - 4. Let r = -5 - -9. Suppose -r*a = -14 - 2. Is d(a) a multiple of 32? True Let o = -8 - -21. Let a(r) = -r**3 + 14*r**2 - 11*r - 28. Let g be a(o). Let f(d) = -44*d - 5. Is f(g) a multiple of 10? False Suppose 2*j = 2*w + 492, -j - 3*w + 6*w + 246 = 0. Is 6 a factor of j? True Let t(p) = p**2 + 7*p - 12. Does 18 divide t(-15)? True Suppose -z + 4 - 2 = 0. Suppose -z*m = -3*c - 35, 3*m + 5*c - 99 = -18. Is m a multiple of 11? True Let h(z) = 51*z**2 - 3*z + 2. Let g = 22 + -20. Let f be h(g). Suppose -v + f = 4*v. Is 11 a factor of v? False Suppose c = 2*c - 5, 2*c - 2 = z. Suppose -3*n = -2*n - z. Is 18 a factor of (n/6)/((-1)/(-39))? False Let j = -13 + 53. Suppose -6*h = -2*h + j. Let z(d) = d**3 + 10*d**2 - 6*d - 11. Is z(h) a multiple of 20? False Suppose 78*x - 575 = 77*x. Is 115 a factor of x? True Let i(t) = 43*t + 149. Is 18 a factor of i(14)? False Suppose 0 = -3*k + 5*k - 106. Suppose -4*d = -0*d + w + 43, -5*d - 2*w - k = 0. Is 15 + d + 36/1 a multiple of 10? True Is (-22)/(-6)*(-43)/((-688)/1824) a multiple of 22? True Suppose d + 3*d - v - 556 = 0, 0 = 2*d + 5*v - 300. Suppose -2*s = 5*s - d. Is 3 a factor of s? False Suppose p - 3*p + 235 = 5*g, -230 = -2*p - 4*g. Is p a multiple of 15? True Let p(k) = -38*k + 248. Does 44 divide p(-27)? False Suppose 2*j + 3 = m - 3, -4*m - 3*j + 2 = 0. Suppose -m*l = 4*y - 104, 0*l = 3*l. Is 12 a factor of y? False Let i(m) be the second derivative of 169*m**4/6 + m**3/6 - m**2/2 + 38*m. Does 42 divide i(-1)? True Suppose 4*v - 22 = 2*n, 0*v = v + 5*n + 22. Suppose 0 = -c - 3*c - a + 20, -2*a - 4 = -v*c. Suppose 2*u - 20 = -2*t, 1 - 54 = -5*u - c*t. Is 10 a factor of u? False Let t = -9 - -9. Let b be ((-6)/9)/(1/(-6)). Suppose -3*s + 37 = -2*d + 3*d, 3*d - b*s - 124 = t. Is 10 a factor of d? True Let h(i) = 19*i**2 + 8 - 28*i**2 - i**3 - 12*i + 19*i**2. Is 10 a factor of h(8)? True Does 5 divide -339*(-2)/3*(-9)/(-18)? False Let z(s) = 37*s**2 + 3*s - 4. Is z(-6) a multiple of 90? False Let d be ((-255)/20 - -3) + 3/(-12). Let m(v) = 2*v**2 + 12*v - 10. Does 21 divide m(d)? False Let n = -558 - -1482. Does 21 divide n? True Is 4 a factor of (-6)/10 + (11 - 2698/(-5))? False Let d(t) be the first derivative of 11*t**2/2 - 14*t + 26. Is 5 a factor of d(4)? True Suppose -6*o + 10 = 4. Is 6 a factor of o/3 + (-2156)/(-21)? False Suppose -2*g = 4*b + 108 - 554, 5*g + 341 = 3*b. Is 14 a factor of b? True Suppose 2*y = 15 - 5. Does 4 divide (-16)/4*y/(-5)? True Suppose y - 2 = 5*p, 4 + 16 = -5*p - 5*y. Suppose x + z - 7 = 6, x - 13 = 3*z. Let g = p + x. Is g a multiple of 4? True Let a be -1*6/(-4)*(2 + 0). Does 4 divide (12/4)/a - -32? False Suppose 3*o = -2*q + 9, 4*q = -0*o + 4*o - 12. Suppose -k = -x + 8, -12 = o*k + k. Suppose -x*y + 0*m = -5*m - 340, 0 = -2*y - 4*m + 166. Is 13 a factor of y? False Suppose 2890 = 11*x - 3083. Is 25 a factor of x? False Let w be (38/4)/((78/(-60))/(-13)). Suppose -2*t = 5*l - w, -2*t - 5*l + 2*l + 97 = 0. Does 19 divide t? False Let g be 66/14 - (-12)/42. Suppose -s = 3*m + s - 15, s = -g*m + 25. Suppose -258 = -m*l + 237. Is 28 a factor of l? False Does 20 divide ((-12)/15)/(10/25) - -217? False Let p = 841 + -591. Let n be (p/15)/(4/6). Let t = 37 - n. Is t a multiple of 4? True Let i = 76 + -74. Suppose -i*w + 10*w - 648 = 0. Does 9 divide w? True Let w = 239 + -143. Suppose 74 + w = 10*q. Is q a multiple of 17? True Let j be (-22)/(-4) + 1/(-2). Suppose j*w - 477 = n, -2*w + 3*n + 386 = 2*w. Let y = w - 68. Is y a multiple of 9? True Let o = 10232 + -6922. Is 8 a factor of o? False Does 81 divide (-4)/56 - 5/((-350)/84635)? False Suppose 5*v - 17 = -4*t, -3 = v + 4*t - 0*t. Suppose -3*z - 32 = -v*z. Is 17 a factor of z/(-104) + (-444)/(-13)? True Let h = 599 + -442. Is h a multiple of 97? False Let j(c) be the second derivative of c**3/6 + 3*c**2 - 4*c. Let h be j(-3). Let q = h - -18. Is q a multiple of 6? False Suppose -3*m + 10 = 1. Suppose -2*k - 3*j - 265 = -3*k, -m*j + 289 = k. Is 37 a factor of k? False Let h = -63 + 63. Suppose 0*r + r - 4*b - 24 = 0, -5*r - 5*b + 45 = h. Does 12 divide r? True Let b = 3 - -1. Let v(d) = -25*d**3 + 2*d**2 + d - 1. Let y be v(-1). Let s = y + b. Is 6 a factor of s? False Let d be (-5055)/(-12) - 1/4. Let f = -282 + d. Suppose -5*a + f = -146. Does 24 divide a? False Let j(z) = 2*z**2 - 4*z. Let a(l) = 3*l**2 - 7*l. Let v(s) = -3*a(s) + 5*j(s). Suppose -12 = 3*h - 3. Is 6 a factor of v(h)? True Is 5901/24 - (-3)/24 a multiple of 5? False Suppose -2*p + 4*z + 3 = -113, -5*z - 223 = -4*p. Does 9 divide p? False Suppose 84 = 3*j - 0*j. Let h = j - -8. Is 12 a factor of h? True Let q = -3 + -1. Is -26*(-1)/2 - q a multiple of 17? True Suppose -3 = w - 4. Suppose 2*i + w = -3. Is 7 a factor of 1/i*(-16 + -6)? False Does 10 divide (-1672)/(-57)*(-3)/(-2)? False Let v(d) = 8*d**3 - 3*d**2 + 4*d - 9. Does 28 divide v(4)? False Let q(p) = 97*p - 4. Let b be q(4). Let c = b + -192. Is 8 a factor of c? True Let o = 5 + -5. Suppose 3*b = u - o*u + 6, 4*b = 4*u - 16. Is u even? False Let r(a) = -2*a - 7. Let s(f) = f**2 + 14*f - 16. Let x be s(-15). Let t(d) = d. Let p(i) = x*t(i) + r(i). Is 3 a factor of p(-5)? False Is 36 a factor of 45/75 + (-714)/(-10)? True Let c be -2*(-1)/4*(2 - 2). Suppose 6*n - 120 + 6 = c. Is 19 a fact
{ "pile_set_name": "DM Mathematics" }
s smaller: x or 7? 7 Let p be (-1*(-1 - -2))/76. Let c = p + -73/228. Which is greater: -8.9 or c? c Let b(m) = 5*m**3 + 110*m**2 + 84*m - 221. Let u(s) = s**3 + 22*s**2 + 17*s - 44. Let f(i) = 2*b(i) - 11*u(i). Let h be f(-21). Is -2/65 smaller than h? True Let n be -2 + 2 - (5 - (-16690)/(-3220)). Let q = -5/161 - n. Is q < -1? False Let x = -326 + 330.64. Let l = x - 4.385. Which is smaller: l or 1/2? l Suppose 5*o - 14 = -2*o. Let h = -522 + 4720/9. Is o at most h? True Suppose 1493 + 411 = 34*q. Suppose -n + 67 = 5*s - 0*s, 0 = -3*n + 4*s + 163. Which is smaller: q or n? q Let z be 0 + 374122/37408 + (-2 - 8). Which is smaller: z or 1? z Suppose 29*r + 13*r - 31 = 11. Let p = 9724700/119847 - -4/17121. Let f = p - 81. Which is smaller: r or f? f Let b(s) = 49*s**2 + 4. Let r be b(2). Suppose -6*n = 4*n + r. Which is smaller: -135/7 or n? n Let c be (-2)/9 - (-15 - (-22463)/(-1575)). Which is smaller: c or 29? 29 Let k = -114 + 112. Let d(z) = -z**3 + 11*z**2 - 23*z + 66. Let h be d(4). Which is smaller: k or h? k Let j(z) = z + 14. Suppose 105*n - 112*n - 98 = 0. Let l be j(n). Let c(k) = -6*k**3. Let t be c(-1). Is t less than l? False Let i = 4.58 - 0.28. Let o = -0.2603 + 0.1603. Is o smaller than i? True Let b be (-2)/7 - 3396/(-28). Let m be (1 + -2*1)/((-131)/(-1063458)*-66). Which is smaller: b or m? b Let i(t) = t**3 + 4*t**2 + 6*t + 2. Let j be i(-1). Which is smaller: j or -1/32? j Let z = -67/20 + 18/5. Let h = -0.23125 + -45.76875. Which is bigger: h or z? z Let c be (-4)/(-14) + 25/35. Let a = 1284 + -451969/352. Which is greater: c or a? c Let h = -177 + 3719/21. Which is greater: h or 42? 42 Let m be (28/4)/70 - 2638*4/(-80). Which is smaller: m or 3? 3 Let h = -988 + 1879. Which is greater: 1/3 or h? h Let i(h) = -165*h**3 + h**2 + h - 1. Let b be i(1). Let y be (b/205)/(1*(-2)/30). Let o be y/102 + 22/102. Is o smaller than -0.1? False Let q be -55 - (24/(-10) - 16/(-40)). Let r = 0.2 - -0.8. Which is smaller: q or r? q Suppose -9*n + 357 = 11*n + 2877. Which is smaller: -128 or n? -128 Suppose -7*n - o - 7965 = -4*n, n = 4*o - 2668. Which is bigger: n or -2655? -2655 Let a = -1426.7 - -1433.7. Which is greater: -1/129 or a? a Let l = -3 + 2. Let i = -262 - 1316. Let j = i + 1587. Which is smaller: j or l? l Let t be 5*1 - ((-2)/(-3) + (-43739)/687). Is 466/7 at most as big as t? True Let y(p) = -30*p - 41. Let a be y(-6). Let v = 156 - a. Let k = 11 + 8. Do v and k have different values? True Let m(b) = -b**2 - 18*b - 6. Let k be m(-18). Let p be k + (-8)/(-2) - -1. Which is greater: p or 2/179? 2/179 Suppose 5*r - 175 = -5*h, 2*r + h - 23 = 47. Suppose -3*t - 2 + 8 = 0, -b = 2*t - 40. Which is smaller: b or r? r Let r(l) = -6*l - 102. Let w be r(-17). Which is bigger: -2/229 or w? w Let j = -177 - -127. Which is smaller: j or -1/6? j Let u(f) be the first derivative of -52*f**3/3 - 5*f**2/2 + 5*f + 32. Let y be u(2). Let c = 134 + y. Which is greater: -78 or c? -78 Let h be 2/1722*(0 - -2). Let m = h + 736/861. Let g = 29/42 - m. Which is smaller: -1 or g? -1 Let i(c) = c**3 + 7*c**2 - 24*c - 162. Let u be i(-7). Suppose 2*o + o - 3 = 0. Let k be o/(u/4) - (-26)/(-30). Which is smaller: 1 or k? k Let w(r) = r**2 + 5*r - 171. Let y be w(11). Suppose 0 = -y*b + 5*n + 195, n = 3*b + 4*n - 117. Is b at least 32? True Let t = -6516584/249 - -26171. Are t and 2/13 unequal? True Let a = 1117.2 + -1117. Which is smaller: a or -2450? -2450 Let s = 98019674/3243 - 30225. Let u be 794665/(-421590) + 81/(-18) + 5. Let z = u - s. Is -2 bigger than z? False Let v = -179.1 + 175.1. Let r = -22 - -23.5. Which is smaller: v or r? v Let i = 23530 + -23531. Which is smaller: i or -45/28? -45/28 Suppose 3*v + 14 = -2*n, 4*n + 18 = v - 2*v. Let u be 1/1 + (-2)/v. Let w(s) = -8*s - 2. Let l be w(0). Is l less than u? True Let l = 761 + -761. Suppose l = -4*c - b + 4 - 26, -2*b = 4. Suppose 2*g = 7*g + 10. Which is bigger: c or g? g Let m be (160976/(-26828) - -9) + -3. Is 0 != m? True Let i = -1549 - -1593. Let u = -5 + 48. Is i smaller than u? False Suppose -5*b - 3*x + 7 = -7*x, -b + 5*x = -14. Let i = -1.524 + 0.777. Let m = i + 0.7. Is b < m? True Let b be 2/(-6) + (-2)/(-6). Suppose -3*a + 5*a - 3*j - 48 = b, -24 = -a + j. Let f be a/(-9)*27/(-156). Is 1 less than f? False Let j be -1*(-4)/(-2) + 0. Suppose -11*w - 79*w = -720. Suppose -7*m - 3*c - 44 = 0, -c = -m - 2*c - w. Is m at most as big as j? True Suppose -4*o - 23 = -31. Suppose 41 = o*u + 6*q - 11*q, 4*u = q + 37. Let s be 7/(252/u) + (-337)/18. Is -18 smaller than s? False Let q = 226 - 46. Let j = q - 179.9. Which is greater: j or -49? j Suppose -16 = 6*p - 4. Let q be 16*(6/4 + p). Which is bigger: q or -10? q Let p = -134/141 - -2927/3525. Let m(g) = -g + 9. Let a be m(9). Is a at most p? False Let q = 12 - 10. Suppose 0*a - 5 = -q*i + a, 3*i - 40 = -5*a. Is -1 < i? True Let a = -32044 - -15668. Is a > -16376? False Suppose 26*y + 18 = 20*y, s - 4*y = -2474. Is -2487 at least as big as s? False Let s = 845 + -582. Let h = s - 258. Are h and 8 non-equal? True Let p = 19 - 18.8. Let i = 397.944 - 398. Which is smaller: p or i? i Suppose 5*l + 89 = 9*l - 3*q, 0 = 3*l - 5*q - 53. Suppose 4*b - n = 6, -l*b + 30*b = -2*n. Which is bigger: b or 10/99? b Let l be (-188)/(-6) + 44/66. Suppose -h - l = -3*p, -16 = -2*p - h - h. Let o(s) = 3*s**2 + 14*s + 5. Let c be o(-5). Is c < p? False Let m(d) = 208*d - 5810. Let a be m(27). Which is smaller: -192 or a? a Let z be 0 - 10*1/(-85). Is z < 3.5? True Let k = -10.03 - -1576.03. Let d = -1577.33 + k. Let f = 0.33 + d. Which is smaller: f or -2/7? f Let l(r) = -35*r + 578. Let p be l(44). Do p and -964 have the same value? False Let t = 7 - 10. Let m be -2 - -5 - ((-18)/t + -3). Let q be 1*((1 - m) + 6/(-3)). Which is bigger: -1/15 or q? -1/15 Let i = 140.196 + -140. Let q = 0.096 - i. Which is greater: q or 197? 197 Let k = -1.691 - -1.471. Is -0.1 bigger than k? True Let z be 0 - (0 - (0 + 2)). Suppose 0 = 2*x + j - 10 - 3, z*j + 2 = 0. Is x > 23/4? True Let x = 1 + -1. Let u = -44321287 - -306171451551/6908. Let c = -11/157 + u. Is c < x? False Suppose 7*r = 13*r - 48. Let m be r/40 + (-305)/25. Is 0 greater than or equal to m? True Let o = 5152.4 + -4770. Let h = o + -385. Which is greater: -7/2 or h? h Let l = -5/2 + 7/3. Let b = 1.29863 + 0.30137. Is b at least l? True Let k = 37.6 - 41. Let f = -2.4 - k. Let t be 6 - (-4 + 2/(-2)). Is t <= f? False Let c = 4915 - 9829/2. Suppose -12 = f - 5*f. Suppose -f*a + 2*r - 3 = -0*a, -2*a - 2*r + 8 = 0. Is c < a? True Suppose 3*v + 197 - 100 = 103. Let d be (2/1 + -2)/1. Which is smaller: v or d? d Let x = 24026.1 + -24027. Which is smaller: x or -94? -94 Let f = 53219 - 1916057/36. Let g = 79/45 + f. Let m = -11/4 - g. Which is smaller: 1 or m? m Suppose 24 + 27 = -3*i + 54. Let u be (-43)/(-70) - 4/8. Let s = 31/140 - u. Which is smaller: s or i? s Let q = 1.68 - 3.88. Let v = -1.2 - q. Does -1/18 = v? False Let u = -126364 - -375188/3. Which is smaller: -1302 or u? -1302 Let u be (-1)/(-5) - 1636/(-20). Let t = -83 + u. Are 7/17 and t non-equal? True Let v(a) = 25*a + 1054. Let p be v(-44). Is 0.3 smaller than p? False Let q be ((-4)/(-6))/(9/81*6). Is -104 at least q? False Let t = -0.0882642 + 121.1588642. Let u = t - 0.0706. Which is smaller: u or -2/7? -2/7 Let u(n) = 130*n - 64. Let i be u(2). Let z be 6/(-24) - -1*i/16. Do z and 12 have different values? False Let f = -1.815 + -0.575. Let m = -2.09 - f. Is m <= 2/7? False Let h = -1163/3180 - -37/106. Is 17 < h? False Let n be (-1)/(-5)*-4 + (-72009)/(-405). Let k = -155 + n. Are k and 25 non-equal? True Suppose -2*f - 2*a = 74 + 36, 2*f + 112 = -a. Let b be -1*3 - (3 + f + 6). Let r be (-3)/4 + 561/12. Which is greater: b or r? r Let z(y) = -y**2 - 19*y - 29. Let l be z(-17). Suppose -l*a - 55 = 30. Let v be (-8)/(-3)*(7 + a/2). Is -5 not equal to v? True Let k = 911 - 1933. Which is smaller: 0 or k? k Suppose 4*v + t - 96 = 0, 2*v - 6*t + 10*t - 48 = 0. Let x be v*(9/6)/(-3). Suppose -3*o + 5*i - 1 = 43, i = 4. Is o > x? True Let m be (-100)/(-90) + 2036/(-2016). Is m greater than 0? True Let o = 221002 - 220988. Suppose -2*x + 2*d + 9 + 7 = 0, -28 = -5*x - d. Which is greater: x or o? o Let i be ((-6)/(-15))/(1/(-5)). Let
{ "pile_set_name": "DM Mathematics" }
n**2 + 3*n - 3. Let k be y(2). Let i = k + u. Does 10 divide i? False Suppose -3*l = 2*i + 16, 3*i + 24 = 4*l - 0*l. Let b = 14 + i. Is 6 a factor of b? True Let p(r) be the first derivative of r**4/4 + 7*r**3/3 + r**2 - 2*r - 6. Does 6 divide p(-6)? False Let c be -1 + 3 + (2 - -1). Suppose 4*t + 0*l - 2*l - 34 = 0, -c*t + l + 44 = 0. Does 8 divide t? False Suppose 10 + 31 = r. Is r a multiple of 13? False Let p be 4/(-14) + (-426)/(-21). Suppose -m - 1 + 6 = -s, -2*s + p = m. Is m a multiple of 5? True Suppose 494 - 3686 = -21*b. Is b a multiple of 38? True Suppose 0*g - 3*g = 5*p - 39, -5*p + 24 = -2*g. Let y = p - 1. Is y a multiple of 5? True Suppose 5*o - 13 = 12. Suppose -2*r + 6 = -4*n, -24 = -o*r + 4*n + 21. Is 13 a factor of r? True Suppose -14*y + 10*y + 352 = 0. Is 19 a factor of y? False Let c = 202 + 1. Let g = 398 - c. Does 7 divide (g/(-10))/((-3)/4)? False Let j(r) = r**3 - 3*r**2 + 5*r - 2. Let w be j(4). Let z = w - 24. Is 8 a factor of z? False Let d(o) = o**3 + 4*o**2 - 6*o - 3. Is d(3) a multiple of 21? True Let d(z) = -8*z**3 - 2*z**2 - 12*z - 6. Does 55 divide d(-3)? False Does 12 divide ((-24)/(-7))/(1/14)? True Let h(i) be the first derivative of -i**7/840 + i**6/60 - i**5/40 - i**4/8 + 2*i**3/3 + 1. Let f(u) be the third derivative of h(u). Does 7 divide f(5)? True Suppose 0 = v - 2*r - 0*r - 12, -5*v + 2*r + 92 = 0. Suppose -5*m + 20 = -v. Is 6 a factor of m? False Let q(z) = -z + 6. Let b be q(-6). Suppose 2*c - 3 = -u, -b - 2 = -5*c + 4*u. Suppose -39 = -s + c. Is s a multiple of 17? False Let w be (-8)/36 + (-40)/(-18). Suppose 0 = -w*l + 10 + 10. Is 5 a factor of l? True Let c(n) = n**3 - 19*n**2 + 2*n - 18. Does 2 divide c(19)? True Suppose 3*j + 51 = 3*m, -47 + 6 = -2*m - 5*j. Let k = m + -11. Does 7 divide k? True Let y(t) = t + 23. Let q be y(-10). Let u = q + 19. Does 19 divide u? False Let r = -20 + 40. Suppose 16 = -4*w - r. Is 12 a factor of (w/(-4))/(2/40)? False Suppose 0 = -3*l + 4*q + 170, q - 4*q + 260 = 4*l. Is 20 a factor of l? False Let a = 0 + 65. Is a a multiple of 6? False Suppose 10*k = 8*k + 242. Does 11 divide k? True Let z = -4 - -8. Suppose 2*u = -4*r + z*u + 42, -3*r + 9 = 3*u. Is r a multiple of 4? True Suppose -4*s + 9*s - b = 91, -22 = -s + 4*b. Suppose -z = -3*z - s. Does 7 divide (-30)/z*(-24)/(-10)? False Suppose -4*c - 5*g + 20 = 0, -4*g + 2*g = 0. Suppose c*n - 10 = -0*n. Suppose -i + 4*s - 21 = -n*i, 0 = 4*s - 4. Is 10 a factor of i? False Suppose c = 8*m - 4*m + 9, 4*m = -c - 15. Let z(x) = 0*x - 5*x + 153 - 2*x**3 - 156 - 4*x**2. Is 10 a factor of z(m)? True Suppose 31 - 11 = 5*a. Suppose -a - 47 = -3*u. Is u a multiple of 5? False Let v(k) = k**3 + 6*k**2 - 5*k - 3. Let f(s) = -2*s**3 - 12*s**2 + 10*s + 7. Let a(m) = 3*f(m) + 7*v(m). Does 14 divide a(-6)? False Let b(v) = 3*v**2 - 1. Let x be b(-1). Suppose -x*d = d - 15. Suppose u - d = 20. Does 10 divide u? False Let y be 22/((-4)/8*-4). Suppose y + 124 = 5*o. Is o a multiple of 15? False Let w be ((-6)/(-5))/(24/60). Suppose -w*p + 5*p = 40. Is 14 a factor of p? False Let q = 3 + -11. Let o = 26 + q. Let a = 28 + o. Does 16 divide a? False Let v(g) = g**3 - 3*g**2 - 2*g + 2. Let o be v(4). Suppose -4*b = -o - 6. Is 2 a factor of b? True Let b(w) = 17*w - 6. Does 8 divide b(3)? False Let o be 28*21/6 + -4. Suppose -o = -5*a + 76. Is a a multiple of 14? False Suppose 0 = -g - 3*g + 48. Is g a multiple of 3? True Suppose 0*i = -5*i - 10. Let z = 2 + i. Let k = z - -11. Is k a multiple of 9? False Let a = 6 - -6. Does 6 divide 498/21 - a/(-42)? True Let j(p) = -p**3 + 9*p**2 + 11*p - 4. Let s(v) = -v**3 - 8*v**2 + 9*v + 10. Let r be s(-9). Does 5 divide j(r)? False Let w be (-3)/(-3) + -1 + 2. Suppose -k = -w*k. Let s(z) = -z**2 + z + 45. Is s(k) a multiple of 13? False Let a = 102 + 192. Is 14 a factor of a? True Let r = 3 + -4. Let b be (-2 - (5 + 1)) + r. Let v(h) = -h**3 - 10*h**2 - 10*h + 3. Does 12 divide v(b)? True Suppose 0 = 4*s - 3*b - 20, -s - 19 = 5*b - 1. Let k(u) = 4 + 3*u**2 - u**2 + 2*u + 0*u**s + 0*u**2. Is 16 a factor of k(-3)? True Suppose 5*j = -13 + 3. Let w be 2/(-2)*(j + 1). Suppose 4*l - 35 = w. Is 5 a factor of l? False Is (1 - 3 - -32)*(-18)/(-12) a multiple of 17? False Let y = 167 - 134. Is 18 a factor of y? False Let s be (-21)/7 + 1 + 5. Suppose 2*z + 155 - 1028 = s*t, 429 = z + t. Is 11 a factor of z/20 - 4/(-10)? True Let b(l) = -l**3 - 6*l**2 + 12*l + 25. Is b(-10) a multiple of 14? False Let i(p) be the first derivative of p**4/4 - 4*p**3/3 - 9*p**2/2 + 9*p + 1. Does 9 divide i(6)? True Is (5 - -32)*5 + 2 a multiple of 17? True Let x = -1 + 3. Suppose 16 = -2*c - x*u, -3*c - 2*u = -3*u + 16. Does 11 divide ((-22)/(-3))/(c/(-9))? True Let a(v) = -3*v - 8. Let p be -5 + -5 - 1*-1. Is 6 a factor of a(p)? False Let v(s) = s**2 + 6*s + 2. Is v(-11) a multiple of 19? True Let y = 4 + -18. Let o be (-2)/(((-16)/y)/(-4)). Suppose -c + 4*x = -7, 3*c - 4*c = -x - o. Is c a multiple of 7? True Suppose 2*p + 0*p + 4 = 0. Let s be (1 - p)/((-3)/10). Let u = 17 + s. Is 7 a factor of u? True Suppose 3*m + 2*z + 0 = 1, 0 = -4*m - z + 3. Let r be (60/14)/(m/7). Is r + -2*3/3 a multiple of 14? True Suppose 69 + 71 = 4*u. Is u a multiple of 6? False Let u(k) = 3*k**2 - 4*k + 11. Does 9 divide u(9)? False Let x = -19 - -33. Is 9 a factor of x? False Let t(w) = w**2 - w + 2. Let u be t(2). Is (u/(-10))/(2/(-110)) a multiple of 11? True Let c be -3 + 1 - (-2 - 86). Let i = -26 + c. Is i a multiple of 13? False Suppose 0 = -2*k + 4*h + 108, 0 = 2*k - 8*h + 3*h - 104. Let o = k - 30. Does 32 divide o? True Let u(d) = d**2 - 8*d - 6. Let q be u(-6). Suppose -2 = -5*h + q. Does 8 divide h? True Suppose 8*d + 12 = 132. Does 3 divide d? True Suppose 5*v = 559 + 491. Is v a multiple of 21? True Suppose 140 = -15*o + 2840. Is 20 a factor of o? True Suppose 2*j + 43 = 4*y + 3*j, y + 4*j + 8 = 0. Does 5 divide (-435)/(-12) + (-3)/y? False Let r be (0 - 1)*(1 - 5). Is 2 a factor of r + (-12)/(-4) + 0? False Let q = 756 + -516. Suppose -q = -3*g - 0*g. Is g a multiple of 28? False Let h = -5 - -9. Suppose -12 = 5*x + 8, 47 = y + h*x. Is 30 a factor of y? False Is (5/(-4))/(8/(-32)) even? False Let y(q) = -q**2 - 9*q - 1. Let m be y(-8). Let s(f) = -f + 15. Does 4 divide s(m)? True Let q = 17 + -6. Let l = q + 10. Is 12 a factor of l? False Let n(m) be the second derivative of 7*m**6/360 - m**5/40 - m**4/12 + m. Let k(q) be the third derivative of n(q). Does 16 divide k(3)? False Let x = -29 - -39. Does 10 divide x? True Let y = 11 - 3. Is y a multiple of 8? True Suppose 0 = -3*c + 2*v + 4, 2*c + 6 = -c - 3*v. Is 34 a factor of (c/(-3) - 4) + 137? False Let y(r) = 7*r**2 + 2*r - 2. Let q be y(3). Let i = -35 + q. Is 10 a factor of i? False Let m be -12*(2 - 2 - -1). Let w = m - -25. Is 13 a factor of w? True Let o = 0 - -29. Is 8 a factor of o? False Let t(u) = -u**3 + 11*u**2 - 10*u + 11. Let c be t(11). Let g = 214 + c. Suppose -3*o - 54 = -3*h, 4*o + 35 = -4*h + g. Is 15 a factor of h? False Let g(f) be the first derivative of -f**3/3 - 5*f**2 + 6*f + 4. Is g(-10) a multiple of 3? True Let w(i) = 6*i**2 - 13. Let n(g) = 3*g**2 - 6. Let b(k) = -5*n(k) + 2*w(k). Let h be b(-3). Let u = h - -53. Is u a multiple of 15? True Let a(n) = 4*n**2 - 1. Let s be a(1). Suppose -2*q + 2 = -2*j, 0*q = q - s. Does 13 divide (52/8)/(1/j)? True Let d = 157 + 37. Is d a multiple of 31? False Let g(l) = -l**3 + 4*l**2 + 7*l - 7. Let k be g(5). Let w be (-3)/(-9)*k - -44. Suppose 5*a - w = 2*a. Is 8 a factor of a? False Let h(x) = -x**3 + 3*x**2 + 6*x - 6. Let g be h(4). Suppose -p + 5*b - 4 = g*b, 3*b + 40 = 5*p. Let r = p - -6. Is 17 a factor of r? True Let w = 310 - 123. Is w a multiple of 12? False Let v(c) be the third derivative of -2/3*c**3 + 0*c - 7/24*c**4 - c**2 + 0. Is 17 a factor of v(-4)? False Let u = 2 - 6. Let g = -2 - -3. Does 10 divide (-3 + -1)*u + g? False Suppose 5*h + 4*u - 964 - 364 = 0, -2*h = -5*u - 518. Is h a multiple of 33? True Let q = -22 + 96. Let w be (-3)/(-15) - q/(-5). Let s = 21 - w. Is s a multiple of 3? True Suppose -3*n - l + 448 = 0, 0 = -3*n + n - 3*l + 308. Is n a multiple of 37? True Let o(s) = 108*s**3. Let d be o(1). Let y = d + -54. Does 8 divide 1686/y + (-4)/18? False Suppose 406 = -4*g + 11
{ "pile_set_name": "DM Mathematics" }
((-49)/(-24) + 714/(-1904)). -2/113 What is the value of 20/(-6)*81*69/(-483)*(-35)/(-195)? 90/13 Evaluate -32*(-39)/2912 + 60/105*-31*2. -35 Calculate (24 + -16)*(-26 + 25). -8 What is (-580)/(-58)*(-6)/20 + (-1484)/(-492)? 2/123 Calculate (23*-1 - -2)/(-158 + (-39269)/(-214)). -14/17 What is the value of -15*(-10 - (-1836)/180)? -3 Evaluate (1155/50 - (18 + 5)) + 1395/50. 28 What is the value of (29 - 30)*((-4)/(-6))/(-4 + (-990)/(-255))? 17/3 What is (-1 + 25/15)/(46*(-344)/774)? -3/92 What is the value of 474/156 + 36*(-9)/108? 1/26 What is the value of ((12/90)/(24/(-180)))/((-2)/(-2 - 48))? -25 What is 16074/123234 + (-2079)/69? -30 Calculate 55/5*14835/(-3795). -43 Calculate (480/36 - 1)/((-102)/306). -37 Evaluate (1441/393)/(6/(-18)) + 21. 10 Calculate 6/(((-21)/15 - -1)/(21/(-1785))). 3/17 Calculate (-2)/13 + 53/(6890/12448) + 69/(-115). 95 83/5 - 3/15*70 13/5 12/(-3)*((-189)/(-14) + -10) -14 What is 728738/(-417468) + (-6)/(-76)? -5/3 What is (-20 + 4600/207)*9/(-2) - -17? 7 (-85)/((-16830)/(-44))*(-209 + (1 - -1)) 46 (-6 - 127/((-6545707)/306978)) + (-4)/(-74) 2/199 Evaluate 48399/306 - 58 - 97. 19/6 Calculate (-5 + 616/110)/(((-108)/(-48))/(6/(-4))). -2/5 What is 4*(-6)/(-24) + (-820)/(-90) + (0 - 10)? 1/9 Calculate (80 - (-63503)/(-502))*(-2)/(-3). -31 What is ((-79240)/27168)/(40/12)? -7/8 Calculate 42/(-9)*-6 + 7 + (-20)/2. 25 Evaluate (-174)/21 + 235/(-188)*-8. 12/7 What is 42 + 3458/(-78) + (-35)/(-21)? -2/3 What is the value of (-372)/(-66) - (320/(-608))/(4/(-38))? 7/11 (1683/28050*20/1)/((99/(-150))/11) -20 What is 7*-2 - (768/960)/((-32)/(-920))? -37 Evaluate 16/36 - 36/(-126)*-1*830/(-45). 40/7 What is (-1 - 5)*((-38896)/(-816) - 59)? 68 Calculate ((-498)/(-2))/(174 + (-37524)/212). -83 What is (0/(-5) - (-90)/126)*10/325? 2/91 What is the value of 1 + -2 + ((-2376)/(-330))/((-16)/5 - -3)? -37 What is the value of (36 + 10 + -43)*-4*3? -36 Calculate (-20)/(((-1 - -2) + 0/163)/1). -20 ((-2)/(-35))/((-9)/693)*1/((-2)/(-5)) -11 Calculate (-336)/9*55530/21595. -96 What is the value of -13 + (-120)/(-8) + (22 - 4)? 20 Calculate -3*(13858/(-624) + 22 + 2 + (-6)/4). -7/8 Calculate (-5*(-20)/(-7))/((-26)/91*(1 + -2)). -50 Evaluate -94*(9 + 2492/(-280)) + (-24)/15. -11 Evaluate (-10)/((-80)/(-12))*104/1638. -2/21 1/(1955/245 + -8) -49 What is (-1 - 71/(-5)) + (-685 - -672)? 1/5 What is (-1)/1494*-3*(-153)/((-28917)/(-756))? -2/249 What is the value of 154/(-70)*3925/(-751245)? 1/87 Evaluate (-2)/18*(-7704)/5580 - (-10)/(-155). 4/45 Evaluate (12/8 + (-33)/30)*65930/(-694). -38 Evaluate (52/520)/((-51)/(-765)). 3/2 Calculate (-22824)/951*((-6)/(-21))/(8*(-3)/(-280)). -80 (15 - 35) + 69 + ((-2)/4)/(13/(-312)) 61 Evaluate (-5240)/110 + -36 + 10976/308. -48 Evaluate ((-106)/2385)/(-1 - (-4 + (8 - 6))). -2/45 ((-532)/(-228))/((119/(-17238)*-13)/((-2)/(-4))) 13 Calculate 9/(-1) - ((-6 - -7)/19)/((-1340)/229676). 2/95 What is the value of 2183/118 + 1227/(-66)? -1/11 ((-2)/(-19) + (-8125)/(-247))/(-3) -11 (12*(-31)/186 - (-64)/(-10))/(32/160) -42 What is the value of (14/(-294))/((-2)/182*(-14 - -16))? 13/6 Calculate (63 + -1)/(2673/648) - 15. 1/33 What is -28 + 47/(-47) + -4? -33 What is the value of (-126)/9450*75*(46/(-8))/(1/(-12))? -69 Calculate ((-441)/(-98))/(6/108). 81 What is 2 + -4 - (-32*(-52)/(-580) - 40/(-50))? 2/29 Calculate (2 + 9)/(-66 - -65) + 56/(-4). -25 What is the value of ((-28)/(-25) - 1)*((-9)/1 - 100776/(-11628))? -1/25 What is the value of ((-81)/12)/(63/(-84) - (-90)/80)? -18 Evaluate (432/(-90))/(27/9 - -4*(-342)/480). -32 Calculate (7/(-2)*1044/(-16443))/((-7)/(-9)). 2/7 Calculate (1 - (-57)/(-63))*756/168. 3/7 What is 16 - ((-280782)/(-19152) + (-6)/16)? 12/7 Calculate ((27/54)/(18/72))/(-15 + 53). 1/19 (-1)/(7/(-3)) - 180/4680*-130 38/7 ((-7)/(364/40))/((-589)/(-403) - 2) 10/7 What is ((-4)/8)/(2*6 - (-5685)/(-474)) + 5? -74 Evaluate -16 + 57 + 135/(-27). 36 What is the value of ((-5)/((-950)/6))/((-1166)/(-5830))? 3/19 Evaluate -30*36/64800*(-18)/(-9)*3/20. -1/200 -3*(((-4)/(-7))/((-12)/(-154)) - (100 - 93)) -1 Calculate (-296)/962 + 641/13. 49 What is (-697 - -683)/(12/(-2))? 7/3 What is the value of (-41 + -120)/((-364)/104)? 46 Calculate (690/(-7))/2 - (17 - 0)*624/(-37128). -49 What is the value of 852/(-24) - ((-3)/(-6))/(22/110)? -38 Calculate (-20)/(-16)*(720/(-75))/6 + 15. 13 What is the value of ((23 - 9)*-1 - -17)/((-9)/4)? -4/3 41 + -34 + -11 + (-46)/(-2) 19 Calculate (-38 + (-105050)/(-2700))*18/1. 49/3 What is the value of (1149/(-19150))/(2 + 2/5)? -1/40 Calculate (-1020)/357*(-7)/2 - -3. 13 43/(-3) + (56 - -1 - 48) + (-452)/(-15) 124/5 Calculate 184*(18 + (-2002)/112) + -63 - 22. -62 621/(-34155)*(-6)/(-3 - 0) -2/55 Evaluate ((-10)/56*12 - -14) + -13. -8/7 (-22)/((-153010)/(-1261)) - 1/(-5) 2/107 ((3/45)/(79/1185))/(172/(-16)) -4/43 What is (4/(98/(-25) + 4))/(395/474)? 60 What is the value of (-414)/135 + 3 + 14637/(-1845) - (-330)/41? 2/41 What is (-324)/135*(-5)/4 + 1/((-123)/360)? 3/41 1568/3584*(4 - -44) 21 What is the value of 11/(-22)*72/(-60)*100? 60 Calculate 3/(((-63)/(-693))/((-14)/29) + (-1)/(-7)). -66 Calculate 4 + -2 - ((-7674)/(-3627) + (864/837)/(-16)). -2/39 Evaluate -4*(-2)/(536/3953). 59 Calculate (-2)/104 + (-4496520)/66144. -68 (118/21)/(15*84/13230) 59 -82*(-16)/(-56) + -97 + 117 -24/7 What is the value of (-24)/294*-7 + ((-333)/28)/9 + 8? 29/4 Calculate (-3501)/(-1556)*(3 + 981/(-27)). -75 (((-282)/329)/(15/(-14)))/((-1024)/(-17920)) 14 What is the value of 37 + -60 - 7185/(-315)? -4/21 Evaluate (-2 - 0)*(56 - (10 - -50)) - 1142/143. 2/143 What is ((-1144)/224 - (-3680)/1288)/((-5)/4)? 9/5 What is ((-2)/(-6))/((8 - -2)/(54/12*-1))? -3/20 What is 26*((-32)/(-112)*3/(-3) + 68/(-56))? -39 Evaluate 518700/28500 + 0 + -2 + -5. 56/5 Calculate (-8 - 7358/(-897)) + 4/(-18)*(-168)/(-112). -3/23 What is 6240/728 + (-15745)/469? -25 Evaluate 3*401/903 - (8162/98 - 82). 2/43 (-38)/(2/(-4 + 5)*(-14 + 12)) 19/2 -89 + -643*459/(-3315) 2/65 What is (-1995)/(-1596) - (-37089)/4236 - (-30)/(-3)? 2/353 Evaluate (30*(-44)/560)/((-14)/49). 33/4 What is (5 - 4) + (-327)/(-90) + (8 - 1330/105)? -1/30 What is (112/2016)/(8/7920)? 55 Calculate 324/(-702) - (-626)/(-52). -25/2 What is 18 + (-113 - -106 - (31 - -8))? -28 Calculate (13268/(-856))/((-3100)/15). 3/40 ((1 - 2)*(-440)/(-40) + -29)*55/(-44) 50 (-186)/(-6378 - -54) + -1 + (-1549)/(-1666) -2/49 3/10*(2703/102 - 29) - (-1305)/(-20) -66 16/28 - ((-1566664)/59031 + (-29)/(-1)) -17/9 What is the value of 3901/166*(-2)/(-3) - 17? -4/3 Evaluate 462/1302 + (76/285)/(-2) - (-1)/(-5). 2/93 Calculate (-38624)/(-11360) - (658/120 - 2). -1/12 What is the value of (-8 - (-7 - 13) - (-4 + 2))*2? 28 What is -2*7 + -26*(-204)/(-1938)*38/8? -27 Evaluate (616/(-28))/((-36)/(-54)). -33 -15 - 79*((-2)/16)/((-9)/(-72)) 64 Evaluate ((-122636)/(-21328))/(1/(-12)). -69 What is the value of 873/27 - 15 - (20 + -1)? -5/3 What is the value of (-17)/2*(8726312/242403 + -36)? 2/291 What is (65/(-81 - 504))/(4/72*16)? -1/8 (5 + 115/(-25))/(2 - (-1344)/(-600)) -5/3 Calculate 195/5*((-5)/(105/434) + 20). -26 What is (-2 + -16 + (-2376)/(-270) + 9)*-115? 23 Calculate 9945/221*(38/(-27))/((-16)/24). 95 2/11*(-21 + -6 + 28) + 590/22 27 What is 21/12*((209/(-462))/19)/(11/99)? -3/8 What is (36/84 + (-287)/98)/(61/1586)? -65 What is ((-9)/(-6))/((-124964)/(-1736) + -72)? -93 What is the value of ((-5)/(350/63))/((-9072)/1058400)? 105 Calculate (-5950)/350 + -4 + (54 - -1). 34 Evaluate (61 - (-15178512)/(-248976)) + 4*(-4)/312. -2/133 Calculate 360/(-180)*20/((-520)/(-741)). -57 Calculate (-51 + 7)/(-21 - (-48 - -31)). 11 Calculate ((-69)/368*4)/(882/112). -2/21 Calculate (((-22152)/32)/13 + 96/128)*-2. 105 What is (-17695)/3539 + (-6*76/(-84) - (2 + -1))? -4/7 Evaluate (3/(-14)*-2)/(3767/7534) + 16/(-14). -2/7 Evaluate 15/28 - (-1127)/(-4508). 2/7 Evaluate 2135 + -2163 + 154/6. -7/3 What is (37 - 33)*((-14)/21 + 1)? 4/3 Calculate (-1024)/(-120) + (-6)/5 - 1/3. 7 Evaluate ((-10)/(-18))/((340/(-40) - -6)/1). -2/9 Calculate (-168)/(-21)*9/48 + 282/(-172). -6/43 What is 21 + 2/(-68) + (-31119)/(-15334)? 23 Evaluate -13*((-4)/14 + 3420/798) + 4 + 7. -41 Calculate (79 - 2) + (-110209)/1398. -11/6 What is 17/(-7)*-2 - 1750230/2041935? 4 What is (-10)/3*((-11495)/242 + 67)? -6
{ "pile_set_name": "DM Mathematics" }
Solve 12 = -4*j + 3*u, 131*j - 133*j = 3*u + 24 for j. -6 Solve i - 605 + 606 = 3*g, 0 = -3*i - 4*g + 10 for i. 2 Solve 0 = 16*c - 10*c + 2*g - 42, 2*c - 2*g + 2 = 0 for c. 5 Solve -5*b = n - 5, -3*n + 10*n = 5*b + 35 for b. 0 Solve 13*u = -39, 126*q + 5*u = 131*q - 45 for q. 6 Solve 34 = 4*i - 2*t, 3*t - 6 = -15 for i. 7 Solve 0 = 2*a + 2*v - 4, -30*a - 1 = -31*a - 2*v for a. 3 Solve 667*j + 2*x = 662*j - 27, 5*x - 20 = 5*j for j. -5 Solve -216 = -2*b - 3*g - 212, 2*g = -b + 1 for b. 5 Solve -6*n + 5*n - 2 = -2*i, -i - 35 = -5*n for n. 8 Solve 3*z = 5*x - 22, -3*z = -x - 6 + 20 for x. 2 Solve 2 = -3*o + 17, -2*q + 23 = 5*o for q. -1 Solve -3*l - 5*p = 27, 5*l - 27*p + 45 = -32*p for l. -9 Solve -5*s + 7 = -3*w, 0 = -142*s + 146*s + 2*w + 12 for s. -1 Solve -3*i + 5*g = 19, -485*i = -487*i + 3*g - 12 for i. -3 Solve 2*c - 5*x + 24 = 0, 100*c - 105*c - 14 = -x for c. -2 Solve f + 12 = 4*a + 1 - 8, 7*a = 42 for f. 5 Solve -2*l - 2*j + 9 + 11 = 0, 3*l - 65 = -10*j for l. 5 Solve 2*s = 8*d + 50, 4*d - 85*s + 10 = -87*s for d. -5 Solve -5*y - 4*c - 859 + 805 = 0, c + 21 = -2*y for y. -10 Solve 7*l + 5*n = -1612 + 1628, 5*l = 2*n + 17 for l. 3 Solve -m - 28 = -3*b, -11*m + 4*b = -14*m + 59 for m. 5 Solve -3*j - 4*x = 25, -289*j + 290*j - x - 1 = 0 for j. -3 Solve 2*r + 2 = 2*h, 1390*h = 1396*h for r. -1 Solve -2*s = -2, -851*f + 856*f = 3*s + 7 for f. 2 Solve s = 2*z + 9, -270*s = -275*s - 5 for z. -5 Solve 0 = 4*i + 3*g + 2, 4*i + 215*g = 210*g + 2 for i. -2 Solve 17 = -219*b + 216*b + 2*z, -4*b = -3*z + 24 for b. -3 Solve 3*o - 5*o - 88 = -7*i, -7*i + 5*o = -73 for i. 14 Solve 0 = -372*s + 373*s + 5, i - s - 4 = 0 for i. -1 Solve 7*t - n = 4*t + 10, 0 = -t - 5*n + 14 for t. 4 Solve y - 4052*a = -4051*a - 11, 5*a - 53 = 4*y for y. -2 Solve 0 = -38*z + 39*z - 3*m + 1, 4*z - 8*m - 4 = 0 for z. 5 Solve -5*g - 3*w = -27, -223*g + 226*g + 3*w = 27 for g. 0 Solve f + 3*y + 2 = 0, 12*y = -5*f + 15*y + 26 for f. 4 Solve 5*q + 37 = 4*j, -3*j - 14*q + 12*q = 24 for j. -2 Solve 0 = -4*h - 5*f - 20, -12*f + 16*f = 4*h + 20 for h. -5 Solve 45*u - 4*y = 40*u - 85, 0 = -3*u + 2*y - 43 for u. -1 Solve 4*f - 33 + 46 = -w, 4*w = 15*f + 10 for f. -2 Solve 5*r - 3357*o + 15 = -3361*o, -3*r + 3*o + 18 = 0 for r. 1 Solve a + 26 = -10*o, 1606*a - 1609*a + 9 = o for a. 4 Solve -7*z - n + 2 = -8*z, -2*z - 4*n = 22 for z. -5 Solve 3*s = -5*h - 713 + 723, -5*s - 3*h + 22 = 0 for s. 5 Solve -5*a + 45 = -4*k, -6*k - 57 = 125*a - 122*a for k. -10 Solve -3*f + 21 = 5*i, -4*f - 72 = -10*i - 0 for f. -3 Solve -3*b + 5*n - 272 + 294 = 0, -4*b = 8*n + 44 for b. -1 Solve 19*o - 5*m + 524 = 628, -4*o - 2*m = -28 for o. 6 Solve 4*y + 5*c - 52 = 0, -3*y - 6*c - 1330 + 1378 = 0 for y. 8 Solve -y - 6 = -0*l + l, l - 2*y + 19 = 28 for l. -1 Solve 0 = -2*t - y - 9, -6*y + 908 = -t + 897 for t. -5 Solve -34 = w - 3*h, -627 + 665 = -2*w + 3*h for w. -4 Solve -5*r + 46 = -3*v + 56, -2*r = -4*v + 4 for r. -2 Solve 281*t - 2*m - 1 = 286*t, -2*m = 16 for t. 3 Solve 5*w + 3*h - 2 = 0, -7*h = -43 + 50 for w. 1 Solve -3*d + 62 = 4*g + 18, -2*d + 31 = 3*g for d. 8 Solve 0 = p + 3*a - 7, -p - 1085*a = -1080*a - 17 for p. -8 Solve 0 = 2*l + t + 7, 286*l - 283*l + 3*t + 15 = 0 for l. -2 Solve -3*i - 6*h = -i + 5*h, -5*i - 5*h = -11*h for i. 0 Solve -5*x + 3*o = 12695 - 12716, 3*o - 6 = -4*x for x. 3 Solve -15*i - g + 31 = -0*g, 3*i - 9 = -3*g for i. 2 Solve 2*x + 800 = -r + 804, x = r - 4 for r. 4 Solve l + 4*l = 3*s, 4*l + 0*l + 5*s = -0*s - 37 for l. -3 Solve 0 = -5*t + 2*p - 1, 2*t + 292 = 4*p + 282 for t. 1 Solve 0 = 7*v + 7, -v - 7*v + 4*v = -4*m for m. -1 Solve -19786 = -12*o - 19798, 4*h - 7*o - 15 = 0 for h. 2 Solve 3*g + 5*f - 21 = -3, 0 = -3*f + 9 for g. 1 Solve 0 = -g + 8, i + 32*g - 14 = 4*i + 254 for i. -4 Solve -184*y + 14 = -179*y + z, 2*y - 4*z + 12 = 0 for y. 2 Solve 0 = -5*i + 5*d + 5, -2*i + 31*d - 10 = 35*d for i. -1 Solve -4*y - 3*j = 7 - 20, -2*j = 5*y - 11 for y. 1 Solve 4*i - 2*n = -14, 0 = i - 88*n + 86*n + 5 for i. -3 Solve -449*n + 446*n - 3*y + 12 = 0, -y - 26 = -5*n for n. 5 Solve r + 3122 - 3119 = 0, u = -3*r - 6 for u. 3 Solve 127*k - 5 = 122*k, -4*s = 5*k - 29 for s. 6 Solve -16 = 2*p + y, -15*y - 8 = -17*y for p. -10 Solve 1 = -s, 37*s - 39*s = l for l. 2 Solve -j = -t - 7, -j - 22 - 1 = 5*t for j. 2 Solve -d + 23 = 5*g, 78*d - 81*d = -12*g + 66 for g. 5 Solve 52*o - 54*o + 5*x + 43 = 0, 0 = 5*o + 3*x - 30 for o. 9 Solve 3*j - 19 = -2*d, 3*j - 11532*d = -11535*d + 21 for j. 5 Solve 0 = 5*x - o - 13, 4*x + 4*o = 1429 - 1433 for x. 2 Solve 2*f - 12 = 5*c, f - 6 = 838*c - 835*c for f. 6 Solve 158*q - 153*q = -6*m - 24, 0 = 4*q - 2*m - 8 for q. 0 Solve 2*t - 14 = 4*r, r + 1601 - 1599 = -t for r. -3 Solve 4*i + 16 = 0, -5*u + 8*u + i - 189 = -196 for u. -1 Solve -18 = 30*l - 26*l + 2*f, 5*f + 25 = 0 for l. -2 Solve -4750*l + 3*h - 117 = -4755*l, 3*h = 5*l - 93 for l. 21 Solve -5*d + 8 = k, 683*k + d = 680*k - 4 for k. -2 Solve 0 = 2*v - 4*x + 2, 5*x - 128 + 125 = 2*v for v. 1 Solve 2*s = 2*m + 8, 0 = s - 5*m - 2344 + 2332 for s. 2 Solve 6 = -400*l + 402*l, -3*g - 30 = 4*l for g. -14 Solve 229*s + 10 = 3*v + 228*s, -5*v - s + 6 = 0 for v. 2 Solve c + 20 = 2*r, -5*r + 50 = 2*c - 0*c for c. 0 Solve 5*g + 14433*r - 14432*r - 5 = 0, -2*g - 3*r = -2 for g. 1 Solve -4*k - 5*c = -20, -2*k + 10 = -19*c + 21*c for k. 5 Solve 34 = -5*h - 2*u, -h - 4*u + 112 = -0*h + 108 for h. -8 Solve 1123*l = 5*r + 1122*l - 25, 4*r = -5*l - 9 for r. 4 Solve 0 = -5*v - 0*v + 20, -3*i + v + 18 = 41 - 22 for i. 1 Solve -2095*q + 4*j = -2095*q, 5*q + 10 = 4*j - 5 for q. -3 Solve -374*l = -190*l - 180*l + 4*a + 4, a = -3*l - 7 for l. -3 Solve 2*q + 13 = 4*d + 17, -2*d = -5*q + 26 for q. 6 Solve 91522*h + 1 = t + 91526*h, 0 = 2*t - 15*h - 2 for t. 1 Solve -14*l - 16 = -4*z - 18*l, -17 = -3*z - 4*l for z. -1 Solve 3*u + 5*r = -12, -4*u = 50*r - 54*r + 16 for u. -4 Solve r + 5*a = 15, 47*r - 48*r + 12 = 4*a for r. 0 Solve -2*y + 34*l + 7 = 31*l, 0 = 3*l + 3 for y. 2 Solve -2*t + 14 = 4*p, 20*t + 12 = -3*p + 23*t for p. 1 Solve -15*w + 4*d = -101, d = 738*w - 743*w + 36 for w. 7 Solve 5*n = z + 143, -97 = 126*n - 130*n - 5*z for n. 28 Solve -k + 58 = 5*j + 84, 0 = 3*k + 4*j + 23 for k. -1 Solve 4*l - 4*l + 9 = -3*l, 0*l = 2*h + 10*l + 32 for h. -1 Solve -5*f - w = 11, 504*f - 500*f + 34 = 2*w for f. -4 Solve 7*t + 31 - 158 = 4*w, 2*w + 2*t - 30 = 0 for w. -2 Solve 14*i + s + 7608 = 7511, -5*i - 5*s - 30 = 0 for i. -7 Solve 4*g = 3*y + 35 - 98 - 30, 20 = -4*y for g. -27 Solve 92 = 729*w - 733*w + 13*i, 2*i - 28 = 2*w for w. -10 Solve 3*r + 4*b - 24 = -47, 27 = -3*r - 3*b for r. -13 Solve -v + 10 = 5*q, 4*q + 13*v - 21 = 16*v + 6 for q. 3 Solve -3*m - 3*k = -0*m - 42, 34*k = 32*k + 10 for m. 9 Solve -j = a + 1, 1643*j - 1639*j - 4 = 4*a for a. -1 Solve 3*d = 15*x - 13*x + 36, x - 47 = -5*d for x. -3 Solve 2*k + 27 = -3*s, -k + 4*s = -157 + 154 for k. -9 Solve 4*b = 5*k - 17, 4*b = -277*k + 556*k - 283*k + 28 for b. 2 Solve 2*v + 6 = -9*w, -5*w + 6 = -2*v - 2*w for v. -3 Solve -4*o + 4*q + 2 = 38, -4*o - 11 = q for o. -4 Solve 5*l - r = 203 - 189, 0 = 5*l + 2*r - 17 for l. 3 Solve 12 = -226*k + 224*k + 4*f, -4*k + 4*f - 20 = 0 for k. -4 Solve -102*o - 1 = -99*o + 5*d, 0 = 2*o + 3*d + 1 for o. -2 Solve -16 = -t - 36 + 20, -24 = 4*b - 2*t for b. -6 Solve 5*u + 20*o - 55 = 16*o, 5*o - 47 = u for u. 3 Solve p - 7 = -3*t, 4*p + 35 = 4*t + 15 for t. 3 Solve 0 = -2*h - h + 4*x - 11, 8*x = -h - 71 + 30 for h. -9 Solve 0 = -6*i + 3*l - 33, i + 876 = 8*l + 848 for i. -4 Solve -17*p + 19*p = 2*s + 12, 0 = p - 5*s - 14 for p. 4 Solve 6*k - k = -b - 19, -2*b = -k - 6 for k. -4 Solve -2*z + m = -8, -825*z = -832*z + 2*m + 31 for z. 5 Solve 5*p + 302*v - 292*v = -10, -5*p + 2*v - 22 = 0 for p. -4 Solve 4*w - 23 = 3*g, -7884*g + 7882*g + 2*w - 10 = 0 for g. 3 Solve 5*g + 12*r = 26, 0 = 3*g - r - 19 + 28 for g. -2 Solve 0 = -d + 5*k + 27 - 5, 0 = 288*d - k + 859 for d. -3 Solve -162*y = -2*z - 159*y + 12, -5*z + y + 17 = 0 for z. 3 Solve 41*c - 37*c = -4*u + 84, -3*c - 4*u + 68 = 0 for c. 16 Solve 0 = 2*u - 5*k - 24, 3*k - 12 = -2*u + 5*k for u. 2 Solve -26 - 13 = -5*s - 4*v, 2*s + 5*v = 36 for s. 3 Solve 5*r = -5, -21*r = -d - 19*r + 2 for d. 0 Solve 2*p - 3*s = -2, 2*s = -5*p - 519 + 552 for p. 5 Solve 0 = 35*c - 30*c - a
{ "pile_set_name": "DM Mathematics" }