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ominator of (9/(-30))/((-4)/78) and (102/q)/((-4)/150). 260 Calculate the common denominator of (-21 - (-6534425)/311402) + (-2)/39 and 56/177. 2478 Let d(p) = -p**2 - 9*p + 39. Let a be d(-12). Suppose -4*u + 254 = -y, 3*u - 8*u + 326 = a*y. Let c = u - 44. Calculate the lowest common multiple of 100 and c. 100 Suppose 2*d = 6*d + 36. What is the common denominator of 18/(-81) - 151/(-72) and d/(-12)*1390/45? 24 What is the common denominator of 114/(-6) + 20 - (-82)/20 and (-584)/(-80)*(-4)/18? 90 Find the common denominator of (1/6)/((-7)/(-348)) and -101/5480. 38360 Let a = 755 + -738. Suppose 9*m + 5*y - a = 8*m, 3*m - 79 = -y. Calculate the least common multiple of m and 12. 108 Let y(q) = q**3 - 13*q**2 - 28*q + 408. What is the smallest common multiple of 18 and y(15)? 1314 Let i = 798 - 524. Let o = 281 - i. What is the least common multiple of o and 9? 63 Suppose 6*t + 14 - 44 = 0. Suppose 2712 = 13*i - t*i. Calculate the common denominator of i/60 + -1 - (-3 + 6) and 41/32. 160 Let w = 3432 - 3400. What is the lowest common multiple of 56 and w? 224 Suppose -2*r - 25 = -23. Calculate the common denominator of 8/(-76) - (r - (-2632)/13984) and 27/40. 920 Let s = 10/48651 - -4908431/25882332. Calculate the common denominator of -71/532 and s. 532 Find the common denominator of 32/2991 and ((-66)/27)/(204/(-153)). 5982 Suppose -4 = 4*z - 24, -4*o + 105 = -3*z. Suppose 4*l - 10*l + 72 = 0. Suppose t = l - 4. Calculate the least common multiple of t and o. 120 Find the common denominator of -133/220 and -15 + 25/(28600/17979). 440 Calculate the smallest common multiple of 3846 and (4/2 - 72/33) + (-13505)/(-407). 42306 Let t = 191 - 155. Suppose 0 = -6*h - t + 54. Calculate the least common multiple of 9 and h. 9 Let o = 2256/13175 - 5/62. Calculate the common denominator of -173/2550 and o. 2550 Let l = 1337 - 885. What is the lowest common multiple of 8 and l? 904 Let i be (-78)/(-4*3/6). Suppose -3*u + 26*u = 0. Suppose 55 = 4*c - u*j + 5*j, 0 = -3*c - 3*j + i. What is the lowest common multiple of 16 and c? 80 Suppose -4*d - 3*a + 2*a = -15, 0 = -4*d - 3*a + 5. Let g(b) = 3 + 6*b**2 - d*b**2 + 9*b + 7. Calculate the least common multiple of 9 and g(-9). 90 Let y be (20/(-25))/((-10)/(-75)). What is the least common multiple of 24 and (y/9)/((-5)/30)*22? 264 Let a be (-62 - -61) + -2 + 1. Find the common denominator of (a - 58/(-24))*(-1972)/(-238) and -49/33. 462 Let x = -8466 + 8474. Suppose 0 = -0*g + 2*g + 12. Let l = 15 + g. What is the lowest common multiple of l and x? 72 Let z = 667 - 32. Suppose -197 = -16*l + z. Calculate the lowest common multiple of 16 and l. 208 Let v be 6 + (-1)/3*3. Suppose 3*o = -5*d + 2*o + 5, 3*o = -5*d - v. Suppose 2 = d*z - 4. Calculate the lowest common multiple of z and 6. 6 Let t = 137 + -101. What is the common denominator of 1 - 6*(-16)/t and -41/42? 42 Suppose 202*n + 1047480 = 782*n. What is the lowest common multiple of n and 3? 1806 Calculate the common denominator of ((-11656)/(-720))/(-31)*(-12 + 10) and -47/225. 225 Suppose 0 = -k - 3*a + 7, -4*a = -4*k - 0*a + 28. Suppose m = 3*p - 79, -p + m + 12 = -15. Suppose -3*f + k = -p. What is the least common multiple of 8 and f? 88 Let z = -73225 - -1757545/24. Suppose -3*a + 12 + 72 = 0. What is the common denominator of z and 2/a*316/6? 168 Let u = 5583 + -5574. Suppose z = 6*z - 180. Calculate the lowest common multiple of u and z. 36 Let i = 11510 + -11477. Let k(q) = 3*q + 0*q + 2*q**2 - q**2 - 2*q. Calculate the least common multiple of i and k(5). 330 Let i(y) = 58*y + 4. Let r be i(-2). Let s = 124 + r. Calculate the lowest common multiple of 8 and s. 24 Calculate the common denominator of 9/27 + (-67)/(-27) and 268/45 + 10*110/99 + -11. 135 Suppose -3*y = 3*p - 1464, 14*p = 17*p - 12. Calculate the smallest common multiple of y and 176. 1936 Let c(f) = -f**3 + 14*f**2 + 10*f + 8. Let v be c(14). Suppose -299 = 4*r - 5*p, -4*p + v = -r - r. Calculate the common denominator of 2 + 189/r - 0 and -3/22. 836 Suppose -6*d = -16*d + 450. Let s(c) = c**3 + 44*c**2 - 26*c + 909. Calculate the lowest common multiple of d and s(-45). 270 Let t = -732589367/634392 - -102775/89. Calculate the common denominator of -63/4 and t. 7128 Suppose 2*s = -5*k + 3*s - 155, -121 = 3*k + 5*s. What is the least common multiple of 8 and k/(-18) - ((-282)/54 + 5)? 8 Let p = 63 - 65. What is the common denominator of 2*2*p/7 and 136/(-26) + (-15)/(-5)? 91 What is the lowest common multiple of (-81)/45 - (10728/(-30))/12 and 2 - (-4 + 10) - -5? 28 Suppose -5*q + 24 = -17*q. Calculate the least common multiple of 10 and ((-60)/(-18))/q*(0 + -114). 190 Suppose -4*g + m + 47 = 0, 5*g + 0*g = -5*m + 65. What is the smallest common multiple of 2 and g? 12 Let c = 595904232231338513/274716 - 2169164636324. Let g = 2/22893 + c. Find the common denominator of ((-1)/21)/(9/(-234)) and g. 252 Let t = 443 + 1459. What is the least common multiple of 9 and t? 5706 Let m = -136011363 + 4895882207/36. Let j = 14633 + m. Calculate the common denominator of j and -155/66. 396 Calculate the common denominator of (-672)/224 + (-3870)/(-1292) and 31/255. 9690 Suppose 3*l - 3*i = 30, 0*i = -5*l - 2*i + 64. Suppose 5*z - l*z = 588. Let u = z + 102. Calculate the smallest common multiple of 4 and u. 36 Let u = -285 + 411. Suppose -4*q = 4, -3*q - 72 - 183 = -2*x. Calculate the least common multiple of x and u. 126 Find the common denominator of ((-17444)/178)/(-10 - 0)*(-5)/(-6) and (-296)/(-22)*1/(-12). 66 Let s = -69283483/201 - -344695. Let m = s + -23423/5628. Calculate the common denominator of -103/44 and m. 308 Let r(j) = 3*j**2 - 37*j + 1604. What is the smallest common multiple of r(-57) and 48? 161520 Let g = 82 - 80. Suppose 0 = 3*z - 5*w - 702, z + g*w - 34 = 200. Calculate the least common multiple of z and 10. 1170 Let z be (-2)/(-5)*195*287/(-21). Suppose 0 = x - 6*x + 5300. Calculate the common denominator of 95/4 and z/x - -1 - (-3)/5. 212 Let k = 70/277 + -13956/13573. Let n = -480733/28 - -17173. Calculate the common denominator of n and k. 196 Suppose -2*g - 3*g = 25. Let n(f) = -3*f + 137. Let c be n(43). Calculate the common denominator of (g*(-138)/c)/(-9) and -3/34. 204 Suppose 3*o = -236 + 164. Let y = -541/64 + 21/64. What is the common denominator of (146/o - (-10 + 9)) + -1 and y? 24 Let k(x) = 2*x**2 + 59*x - 10. Let s be k(-28). Let c = s - -91. Let n = 15 + c. Calculate the lowest common multiple of n and 12. 12 Let p = 102119/20 - 5103. Let t = -98537/93930 - -65/62. Let l = -25739/24240 + t. Calculate the common denominator of p and l. 80 Suppose 10*r + 12 - 172 = 0. Find the common denominator of 13/3 and (-20)/366*r + (-9 - -10). 183 Let m = -182 - -181. What is the least common multiple of 14 and (-44)/(m/(1/2))? 154 Let t = -71269/4524 + 4/1131. Let s = 19819/23648 + -42/739. What is the common denominator of t and s? 32 Let n be 1 + (1 - 15*-9). Suppose 48 = -5*t - n. Let p = 39 + t. Calculate the lowest common multiple of 14 and p. 14 Let w be (-3 + (-75)/(-20))*1*4. Suppose 5*s - 4*k + 152 = 0, -2*k - w = -9. Calculate the common denominator of s/(-12)*(-19)/(-4) and -62/9. 36 Suppose 2*g - 4 = 0, g - 6*g = x - 13. What is the least common multiple of x and 675? 675 Calculate the common denominator of -49/10 and (0 + (-7)/(-1764))/(2/460). 630 Let h be (-4 - -2)/(4/42). Let c = 1/8366 - 56483/104575. What is the common denominator of (51/(-88))/(5*h/(-140)) and c? 550 Suppose -33*v + 32*v - 5 = 0, -2*f - 2*v + 262 = 0. What is the lowest common multiple of 64 and f? 1088 Let h be 5/(-5)*(1 - 1). Suppose h = 4*c - c + 3*j - 3, 2*c + 6 = 2*j. Find the common denominator of -1*c/(-3)*53 and 12/7. 21 Let l = -27 - -3. Let h be 6/l + 111/(-4). What is the common denominator of 12/h - (-1982)/84 and -23/2? 6 Suppose -365*m + 357*m - 64 = 0. Suppose 6 = w + 2*w. What is the smallest common multiple of w and ((-48)/156)/(m/52)? 2 Let w = 88 - 24. Suppose -w*u + 63*u = -9. Let j(v) = 7*v**3 - v**2 + v. What is the lowest common multiple of u and j(1)? 63 Suppose -2*d + 30357 = 5*h, 3554 = 4*h - 3*d - 20704. What is the lowest common multiple of 68 and h? 24276 Let v be ((-1)/(-2))/(2/72*6). Calculate the least common multiple of 4 - 3/(-9)*v and 50.
{ "pile_set_name": "DM Mathematics" }
(c) = 2*c**2. Give n(f(o)). 1544*o**4 Let l(s) = -1763*s**2 + 197*s - 197*s + 1745*s**2. Let m(w) = -4*w + 3. Determine l(m(c)). -288*c**2 + 432*c - 162 Let b(p) = p. Let x(a) = 1358237*a + 103. What is b(x(l))? 1358237*l + 103 Let a(f) = 345842*f + 2. Let i(o) = 81*o. Calculate i(a(m)). 28013202*m + 162 Let w(i) = 19*i - 8. Let h(b) = -74*b + 40. Let t(a) = 7*a - 4. Let f(p) = -h(p) - 10*t(p). Determine f(w(d)). 76*d - 32 Let p(j) = 12*j. Let u be 3483/21 + (-456)/(-56) + -8. Let b(l) = -84 - 36*l + u - 82 + 9*l. Determine p(b(a)). -324*a Let k(y) = -5641447*y. Let z(x) = -46*x. Give z(k(t)). 259506562*t Let q(p) = -p**2. Let b(n) = 3*n - 4. Let v(z) = z + 19 - 9 - 9*z. Let y(t) = -10*b(t) - 4*v(t). Give q(y(r)). -4*r**2 Let g(r) = -4*r**2. Let d be (-20)/(-6)*840/25. Let z = d - 105. Let q(u) = -6*u + z*u + 3*u. What is q(g(f))? -16*f**2 Let k(v) = -6*v - 534. Let l(d) = 13*d + 1247. Let y(j) = 14*k(j) + 6*l(j). Let t(q) = 5*q**2 - q**2 - 3*q**2. Calculate t(y(w)). 36*w**2 - 72*w + 36 Let p(y) = 19 + 40 + 170*y + 41 - 97. Let u(b) = -b**2. Calculate u(p(n)). -28900*n**2 - 1020*n - 9 Let v(p) = -179*p - 393*p + 571*p. Let o(r) = -6959*r**2. Calculate o(v(x)). -6959*x**2 Let w(f) be the first derivative of -13*f**3/3 + 1. Let d(v) = -v - 8*v + 14*v + 8*v + 3*v - 6*v. Give d(w(y)). -130*y**2 Let z(k) = -608*k - 601*k + 1200*k. Let b(x) = 41*x**2 + x. Give z(b(d)). -369*d**2 - 9*d Let l(a) = 6*a**2. Let x(b) = 9*b**2 - 8*b**2 - 5 + 5*b + 2*b**2 + 5*b**2. Let i(q) = -7*q**2 - 4*q + 4. Let r(y) = 5*i(y) + 4*x(y). What is r(l(t))? -108*t**4 Let k(h) = 40*h**2 - 1. Let w(n) = n**2 - 12*n + 30. Let f be w(11). Let o(z) = -20*z - f*z + 56*z - 15*z. Give k(o(p)). 160*p**2 - 1 Let c(n) = -9*n**2. Let r(v) = 4*v**2 - 21*v - 22. Suppose 42 = 10*t - 16*t. Let y(w) = w**2 - 6*w - 7. Let o(s) = t*y(s) + 2*r(s). Give o(c(a)). 81*a**4 + 5 Let d(s) = 127368418*s. Let v(i) = -i**2. What is v(d(y))? -16222713903822724*y**2 Let k(o) = 49*o. Let r(l) = 808914*l. What is k(r(m))? 39636786*m Let b be 11*(2 + (-16)/11). Suppose 4*y + 4 = b*y. Let p(l) = 28*l - 28*l - 6*l**2 - y*l**2. Let f(s) = 2*s**2. Calculate p(f(m)). -32*m**4 Let x be 18*(30/9 + -4). Let z(o) = -4*o - 5. Let l(c) = 10*c + 12. Let q(p) = x*z(p) - 5*l(p). Let a(k) = -k**2 - 2*k**2 + 2*k**2. Determine q(a(i)). 2*i**2 Let t(s) = -13*s**2. Let f(o) = 65*o**2 + 0*o**2 - 124*o**2 - 121*o**2. Give t(f(x)). -421200*x**4 Let d(x) = 3*x**2 - 2*x - 8. Let k(y) = 17*y**2 - 11*y - 44. Let q(p) = -22*d(p) + 4*k(p). Let m(g) = -113*g + 2 + 6*g - 2. What is q(m(h))? 22898*h**2 Let k(v) = 20*v + 2. Let d(s) = 4*s - 8957. What is d(k(y))? 80*y - 8949 Let c(j) = -4*j. Let s(h) = 175*h + 45. Let o(q) = 57*q + 14. Let f(d) = -13*o(d) + 4*s(d). What is c(f(b))? 164*b + 8 Let w(m) be the second derivative of -4*m**3 + 0 - 3*m - 11 + 3*m**3 + 8*m**3 - 5*m**3. Let o(l) = -7*l**2. What is w(o(b))? -84*b**2 Let v(g) = -24*g**2 - 3 + 3. Let l(w) = w**2 + 4 + 5*w - w**2 - 4 + 6*w**2. Let x(h) = 3*h**2 + 3*h. Let c(f) = -3*l(f) + 5*x(f). Calculate v(c(z)). -216*z**4 Let o(b) be the second derivative of 163*b**4/12 - b**2 + 1955*b + 1. Let k(f) = 6*f. What is k(o(c))? 978*c**2 - 12 Let w(f) = 5*f + 2. Let g(i) be the first derivative of -i**5/20 + i**3 + 25*i**2/2 + 139. Let p(m) be the third derivative of g(m). Calculate p(w(v)). -30*v - 12 Let x(i) = 2555448*i**2. Let s(l) = -22*l**2. Give s(x(k)). -143666918575488*k**4 Let z(c) be the second derivative of 91*c**4/6 + 2971*c. Let i(b) = -24*b**2. Determine i(z(y)). -794976*y**4 Let y(w) = -w. Suppose -7*l - 3 = 17*l - 3. Let p(n) be the third derivative of 1/24*n**4 + 0*n + 2*n**2 + l + 0*n**3. Determine p(y(j)). -j Suppose 6*w - 28 = 5*w + 2*o, 3*w + o - 84 = 0. Let j(p) = 25*p + 19*p - 70*p + w*p. Let s(d) be the second derivative of 3*d**4/2 + 16*d. Calculate j(s(i)). 36*i**2 Let j(i) be the third derivative of -i**4/8 - 4*i**3 + 2*i**2 + 278*i - 2. Let h(c) = 3*c + c**2 - 3*c. Give h(j(w)). 9*w**2 + 144*w + 576 Let s(p) = -60*p + 175. Let l(q) = -5*q + 15. Let z(r) = 35*l(r) - 3*s(r). Let g(b) = 4*b - 16. Give z(g(j)). 20*j - 80 Let i be ((-1)/5*-2)/((-7)/(-35)). Let y(v) = -4*v**2 + 3*v**i + 0*v**2. Let s(c) = 11*c + 6*c - 5*c. What is s(y(z))? -12*z**2 Let b(i) be the first derivative of -5*i**3/3 - 1837. Let d(s) = -2*s**2 + 0*s**2 + 0*s**2. Give d(b(z)). -50*z**4 Let s(i) = -53*i**2. Let l(j) = -j**3 - 13*j**2 + 11*j - 36. Let r be l(-14). Let p(u) = 2*u + 3*u - r*u - 2*u. What is s(p(g))? -477*g**2 Let s(p) = p + 1. Let r(i) = 4296*i - 1432*i - 1434*i + 41*i**2 - 1432*i. Calculate r(s(c)). 41*c**2 + 80*c + 39 Let v(i) = -756*i + 63. Let z(l) = -13*l + 1. Let h(t) = v(t) - 63*z(t). Let k(q) = 64*q. Determine h(k(j)). 4032*j Let a = -245 - -251. Let o(v) = a*v**2 - v**2 - 330*v + 330*v. Let u(h) = -5*h**2. Determine o(u(t)). 125*t**4 Let d(q) = -14237*q**2 + 253*q - 2783. Let t(u) = -113*u**2 + 2*u - 22. Let h(x) = -2*d(x) + 253*t(x). Let i(s) = 11*s. Give i(h(c)). -1265*c**2 Let j(p) = 44*p**2 - 3*p - 25. Let v(h) = -1801*h. Determine v(j(q)). -79244*q**2 + 5403*q + 45025 Let s(d) = -28980*d. Let r(h) = -23*h. What is r(s(j))? 666540*j Let b(d) = -18*d + 39*d + d**2 - 21*d. Let l(m) = -1613*m**2. Determine l(b(k)). -1613*k**4 Let u(g) = g**2 - 10*g - 2. Suppose -17*p - 72 = -21. Let t(f) = -2*f**2 + 9*f + 3. Let z(l) = p*u(l) - 2*t(l). Let r(m) = 2*m. Give z(r(s)). 4*s**2 + 24*s Let p(m) = -169427*m**2. Let h(g) = 19*g**2 - 5. Determine h(p(j)). 545404658251*j**4 - 5 Let w(r) be the first derivative of 0*r + 13 - 1/2*r**2. Let s(b) = -38 + 5*b**2 + 38. What is w(s(v))? -5*v**2 Let u(o) = o. Suppose r - 2*r + 1 = 0. Let v be 1 + r - (-26 - -7). Let d(y) = -v*y**2 + y - 2*y**2 - y. What is d(u(c))? -23*c**2 Let n(d) = 5*d. Let f(w) = -3*w - 9. Let g be f(-6). Suppose 1995 = -9*a + 2094. Let t(q) = -a*q + g*q + 4*q. Calculate n(t(y)). 10*y Let s(x) = 89*x**2 - 2*x - 692. Let g(j) = 8*j. Give g(s(v)). 712*v**2 - 16*v - 5536 Let p(h) = -32*h. Let u(s) be the third derivative of 0 - s - 1/24*s**4 + 0*s**3 + 21*s**2. What is u(p(v))? 32*v Let f(d) = -2*d**2. Let t(z) be the second derivative of -263*z**3 + 12*z + 73. Give f(t(u)). -4980168*u**2 Let v be 522/36 - 15/6. Let s(l) = v*l**2 + 22*l**2 + 19*l**2 - 69*l**2 + 12*l**2. Let m(p) be the second derivative of 7*p**4/12 + 2*p. Give s(m(w)). -196*w**4 Let l(u) = -4*u. Let s(w) be the third derivative of 0*w**4 - 9*w - 3*w**2 + 0*w**3 - 43/60*w**5 + 0. Calculate l(s(d)). 172*d**2 Let q(f) = 8*f. Let b(j) be the second derivative of 7*j**3/6 - 143*j**2/2 + 148*j + 21. Calculate q(b(d)). 56*d - 1144 Suppose 0 = -23*d - 982 + 1028. Let b(y) be the second derivative of 0*y**d - 2/3*y**3 + 0 + 12*y. Let h(u) = 2*u. What is h(b(r))? -8*r Let h(a) = -52*a**2. Let n(g) be the second derivative of 0*g**2 - 111*g - 1 - 1/3*g**3. Calculate h(n(x)). -208*x**2 Let m = 101 - 93. Let w = m - 2. Let o(z) = 10*z**2 + 40*z**2 - w*z**2. Let d(c) = -c. Determine d(o(u)). -44*u**2 Let h(r) = 30*r**2 + 9*r**2 - 95*r**2 + 33*r**2 + 41*r**2. Let y(c) = 29*c + 10*c**2 - 29*c. Determine y(h(a)). 3240*a**4 Let c(n) = n + 3749320. Let a(p) = 20*p**2. Calculate c(a(l)). 20*l**2 + 3749320 Let y = 18 + -15. Let z(d) be the first derivative of 199*d - 2*d**2 - 199*d + y. Let k(v) = -5*v**2. Give z(k(r)). 20*r**2 Let c(h) = -6*h + 19. Let p(m) = -22*m - 69. What is p(c(g))? 132*g - 487 Let z(g) = g. Let y(x) be the first derivative of 49 - 93*x - 1/2*x**2. Calculate y(z(a)). -a - 93 Let z(c) = -4*c. Let t(u) = -32*u - 2*u**2 + 23*u + 3 + 12*u - 2. Let a(n) = -n**2 + 4*n + 2. Let s(k) = -3*a(k) + 4*t(k). Calculate s(z(g)). -80*g**2 - 2 Let b(j) be the third derivative of 2555*j**4/12 + 7*j**2 - 124*j - 2. Let d(w) = w**2. Calculate d(b(q)). 26112100*q**2 Let l(d) = -29*d + 1. Let p(c) = 1369*c**2 - 3. Calculate l(p(i)). -39701*i**2 + 88 Let k(q) be the second derivative of 5*q**4/24 + 11*q**2/2 - 15*q + 3. Let x(a) be the first derivative of k(a). Let h(f) = -f**2. Calculate x(h(s)). -5*s**2 Let f(r) = 95413993*r**2. Let l(d) = 3*d**2. What is l(f(j))? 27311490180612147*j**4 Let u(v) = -47 + 51 - 4 - 19*v**2. Let i(f) = -50*f. Calculate u(i(n)). -47500*n**2 Let f(b) = 20*b - 29. Let k(l) = -156354*l + 156354*l - l**2. Calculate f(k(u)). -20*u**2 - 29 Let
{ "pile_set_name": "DM Mathematics" }
+ (2 - 1 + 1)*(0 + 5 - 3))*((0 - 1 - 1)*(2 - 2*c - 2) + 2*c - 5*c + 2*c). -6*c Expand (-2*m**4 + 2*m**4 - 2*m**4)*(1 + m - 1) + 5*m**5 - 3*m**5 + m**5 + (-3*m - m + 6*m)*(2 - 2 + 2*m**4). 5*m**5 Expand (-4 + 1 + 4)*(-j**3 - j**3 + 3*j**3)*(-5 - 2 + 3). -4*j**3 Expand (-15 + 23 + 20)*(-2*r - 3*r + 6*r). 28*r Expand (1 - 5 + 2)*(-p - p + 0*p)*(41 - 2 - 4). 140*p Expand 1 - p**4 - 1 + (0*p + p - 2*p)*(-2*p**3 + 4*p**3 + 0*p**3) - 2*p**3 + 2*p**3 + p**4. -2*p**4 Expand (1 - 5 + 2)*(-q**4 + 0*q**4 + 2*q**4)*(-600 + 605 + q + 9*q). -20*q**5 - 10*q**4 Expand -31*v + 31*v + 6 - 2*v**2 + 2*v**2 - 4 + 4 + (-3 + 2 + 0)*(-2*v**2 + v**2 - v**2). 2*v**2 + 6 Expand 0*r + 3*r - r + (0 - 2 + 4)*(0*r - r + 2*r) + (3 - 1 - 1)*(r - r + r). 5*r Expand (0*h**2 + h**2 + h**2)*(10*h**2 - 2*h**2 + 0*h**2) + 3*h**4 + 3*h**4 - 4*h**4. 18*h**4 Expand (3 + d - 3)*(2*d + 7 + 2*d**3 - 7). 2*d**4 + 2*d**2 Expand (0 + 0 + 2*q**2)*((2 - 2 + q)*(6 - 3 - 2) + 0 + q + 0 + 9*q - 11 + 11). 22*q**3 Expand (4*u**3 - 7*u**3 - 7*u**3)*(3*u**2 - 4*u**2 + 0*u**2 - 2). 10*u**5 + 20*u**3 Expand -13*c + 7*c + 2*c**2 - 7*c - c**2 + 2*c**2 - 2*c**2 + 4*c**2 + 3*c**2 - 6*c**2 + (c - 5*c + 3*c)*(-4*c + c + c) - 5 + 5 - c**2 - 2*c + c**2 + 2*c. 4*c**2 - 13*c Expand -4 + 4 - w**4 + (-2*w**3 + 2*w**2 - 2*w**2)*(w - 4*w + w) - 50*w**3 + 50*w**3 + w**4. 4*w**4 Expand (-5*u**2 + 5*u**2 + u**2)*(5 - 5 - 9*u**2)*((0*u + 2*u - 3*u)*(-3 - 3 - 1) - 4 + 4 - u). -54*u**5 Expand (-1 + 1 + 1)*(0*q + q + 2*q) - 2 + 3*q + 2 + q - 3*q + 3*q + (3*q - 3*q - q)*(2 - 3 - 1) - 4 + 4 + 2*q. 11*q Expand -7*w + 5*w**3 + 2*w**3 - 6*w**3 + (-w + 5*w - 3*w)*(3*w**2 - 3*w**2 + 2*w**2). 3*w**3 - 7*w Expand (5 + 6*z - 5 + (-3 - 2 + 4)*(4*z + 7*z - z) + (-z + 2*z - 2*z)*(-2 + 3 - 2) + 3*z + z - 2*z)*(0*z**2 + 0*z**2 - z**2). z**3 Expand (-1 - 6 + 6)*(5*q - 2*q - 5*q)*(-4 + 6 - 3) + q - 1 + 1 + 3*q - 5*q + 4*q + (5 - 5 + 2)*(q + q + 0*q). 5*q Expand (g + 5*g - 4*g)*(9*g**2 - 53*g**2 - 7*g**2). -102*g**3 Expand ((-4 - 3 + 5)*(3 - 3 - 2) - 1 - 2 + 1)*(9*j**4 + j**3 - j**3). 18*j**4 Expand (3*k - 2*k**2 - 3*k)*(-41*k - 2*k + 10*k). 66*k**3 Expand -3*p**4 + 0*p**4 + p**4 + 4 + (2*p**3 + 1 - 1)*(4 + 2*p - 4). 2*p**4 + 4 Expand (-y**2 + 6*y**2 - 3*y**2)*(-1 - y + 1)*(3 - y + 3*y - 3*y). 2*y**4 - 6*y**3 Expand (-4*n**2 + 0*n**2 - 3*n**2)*(4 - 2 + 1)*(3*n + 3*n - 2*n)*(0 + 1 + 0). -84*n**3 Expand 0*d**5 + 0*d**5 - d**5 + (-2*d**2 + 2*d**2 - 3*d**2)*(-2*d + 2*d + 2*d**3) + 2 + d**5 - 2. -6*d**5 Expand ((1 - 1 - 5)*(-4*f + f + f) - 2*f - f - 5 + 3)*(0 + 2*f + 0). 14*f**2 - 4*f Expand (-2*l - 2*l + 8*l)*(2 - 2 - l**2 + (3*l - 3*l - 2*l)*(3*l + 4*l - 6*l) - l**2 - 1 + 1 + l**2 - 4*l**2 + 2*l**2). -20*l**3 Expand (2 - 2 - 2*h**2)*(0*h**2 + h**2 + 0*h**2) - 2*h**4 - 2*h**4 + 0*h**4. -6*h**4 Expand (-6*r**3 + 0*r**3 - r**3)*(-1 + 4 - 1)*(-3 + 2*r + 3) + 3*r**4 + 0*r**4 - 2*r**4. -27*r**4 Expand (0 - 1 - 9)*(0 + 0 + j). -10*j Expand (-8*k + 44 - 44)*(2*k**2 + 2*k**2 - 2*k**2 + k - k - k**2 - 2*k + 2*k**2 + 2*k + (-2 - k + 2)*(-2*k + 2 - 2)). -40*k**3 Expand (-2 - 4*b - 3 + 3*b)*(5 + 1 + 8). -14*b - 70 Expand (29*z + 2*z**3 - 30*z + 4*z**3)*(0 - 1 + 3). 12*z**3 - 2*z Expand (-2*j + 5*j - j)*(17*j**2 + 13*j**2 + 23*j**2). 106*j**3 Expand -1 - 2*s + 1 + (3 + 4 - 6)*(0*s + 2*s - 4*s) - 2*s + s + 2*s + 3*s + 0*s - s. -s Expand (0*c**2 + 2*c**2 + 0*c**2)*(3 + 4 - 5)*(-4 + 4 - c**2)*(-2*c + 4 - 4). 8*c**5 Expand (-a**2 + a**2 + 3*a**2)*(-1 - 1 + 0) + (2 + 2*a**2 - 2)*(-3 - 1 + 3). -8*a**2 Expand (6*j**3 + 0*j**3 - 2*j**3)*(-1 - 1 - 1). -12*j**3 Expand (-135 + 135 + 20*y)*(2 + 1 - 1). 40*y Expand (-w**2 + 3 - 3)*(w**3 + 1 - 1) - w**5 - 8 - 4*w**2 - 12 + 19. -2*w**5 - 4*w**2 - 1 Expand 64*n**2 - 3 - 62*n**2 + 4 + (0 + 3 - 1)*(0*n**2 - 3*n**2 + 4*n**2). 4*n**2 + 1 Expand (4 - 4 - 2*w)*(-19*w**3 + 50*w**3 - 26*w**3 + 2*w**4) + 2*w**5 + 3*w - 3*w. -2*w**5 - 10*w**4 Expand -2*g**4 + g**4 - 4*g**4 + (-5*g**4 + 2*g**4 + g**4)*(0 - 4 + 3) + g**4 + g**4 + 0*g**4. -g**4 Expand -4*v**4 + 22*v**2 - 22*v**2 + (-2*v - 2*v + 2*v)*(-2*v**3 + 1 - 1) + 0*v**3 + 0*v**3 - v**4 + v**3 - v**4 - v**3. -2*v**4 Expand (-4*q**4 + 2 + 1 + 2*q**4 + (0*q**2 + 0*q**2 + 2*q**2)*(-2*q**2 + q**2 - q**2))*(3 - 3 + 2*q + (-3 + 1 - 5)*(q + q + 0*q)). 72*q**5 - 36*q Expand (-d**3 - 3 + 3)*(4*d + 0*d - 3*d) - 4*d**3 + 4*d**3 - 5*d**4 - 6*d**4 - 9*d**2 + 9*d**2. -12*d**4 Expand (5*y**2 - 2*y**2 - 5*y**2 + (y - 3*y + y)*(y - y - 2*y) + 2*y**2 - 3*y**2 + 2*y**2 + 3*y**2 + 0*y**2 + 0*y**2)*(2*y**2 - y - 1 + 1). 8*y**4 - 4*y**3 Expand (-7 + 0 - 2)*(5*p**3 - 2*p**3 - 5*p**3). 18*p**3 Expand (-2 + 4 + 1)*(h - 4 + 4)*(0 + 1 + 1). 6*h Expand (-2 + 3 + 1)*(0*j**3 - 3*j**4 + 0*j**3) - j**4 - 7 + 0*j**4 + 4. -7*j**4 - 3 Expand (7*b**2 - 3*b**2 - 3*b**2)*(3 - 1 + 0) + 1 - 2*b - 5*b + 13*b**2 + 6*b. 15*b**2 - b + 1 Expand -d**3 - 2*d**5 - 3*d**2 + d**3 + (-3*d + d + 3*d)*(3*d**4 - d**4 + d**4). d**5 - 3*d**2 Expand (0*c + 2*c - c)*(-2 + 5 - c - 1)*(3*c**3 - 3 + 3) + (-2*c**4 + 7*c**3 - 7*c**3)*(3*c + 0*c - 4*c). -c**5 + 6*c**4 Expand (-3 + 0 + 2)*(w + 4*w - 3*w)*(2*w + 0*w - 4*w). 4*w**2 Expand (3 - 2 + 0)*(2*o**3 + 0*o**3 - 3*o**5 + 2*o**5) + 4*o**5 - 7*o**5 - o**5. -5*o**5 + 2*o**3 Expand (1 + x - 1)*(2 - 1 + 1) - 3 + 3 - x + (1 + 0 - 2)*(1 - 3*x - 1). 4*x Expand (0 + 2*p + 0 - 1)*(0*p - 4*p + 5*p). 2*p**2 - p Expand (4*b + b - 3*b)*(1 + 2 - 2). 2*b Expand (3*c**2 - 3*c**2 - 2*c**2)*(-3*c - 3*c + c) - 4*c**2 + 4*c**2 - c**3. 9*c**3 Expand (-14 + 2 + 2)*(6 + z - 6). -10*z Expand (2*b + b**3 - 2*b)*(-2*b + 0*b + 4*b) + (-2*b + 2*b - 6*b**3)*(0*b + 4*b - 2*b) + (b**4 - 2*b**2 + 2*b**2)*(-3 + 0 + 5). -8*b**4 Expand (-2*k**2 + 2 - 2)*(8*k - 9*k**3 + 0*k**3 + 14*k**3). -10*k**5 - 16*k**3 Expand (-2*t - 2*t**2 + 2*t)*(-7*t - 25*t - 3*t). 70*t**3 Expand (3 + 2 - 6)*(-1 + 1 - 2*f) - 3*f + 9*f + 2*f. 10*f Expand (-3 + 4 + 1)*((5*o - 4*o + 0*o)*(o**2 + 2*o**2 - 5*o**2) + 5*o**3 + 0*o**3 - 2*o**3). 2*o**3 Expand -x**4 - x + x + (-2*x**3 + 0*x**3 + x**3)*(39*x - 579 + 579). -40*x**4 Expand (44 - 43 - 2*d + 18)*(d - 4*d + 4*d). -2*d**2 + 19*d Expand (-28 + 28 + 20*v**3)*(-1 + 4 - 5)*(4*v**2 + v**2 - 4*v**2). -40*v**5 Expand -4*d - 2 + 5*d + 3 + (1 - 1 + d)*(3 - 5 + 0). -d + 1 Expand (-1 - 2 + 1)*(-3*q - 5*q + 3*q). 10*q Expand (3 + 1 + 0 + (1 - 3 + 1)*(-3 + 1 + 1) - 1 + 1 + 1)*(2*g + 4*g - 4*g). 12*g Expand (3*r - 3*r + 2*r**3)*(-1 + 1 + 1)*(-1 + 6 - 7). -4*r**3 Expand (2*v**3 - 4 + 3 - 2*v**2 - 2)*(3 - 2 + 3). 8*v**3 - 8*v**2 - 12 Expand (4*a + 2*a - 4*a)*(a + 0*a - 3*a**2 + 2*a**2). -2*a**3 + 2*a**2 Expand (-3*n + 4*n + 0*n)*(15 + 4 - 8) + (-3*n - 3*n + 4*n)*(-4 + 3 + 2) - 3*n + n + 3*n. 10*n Expand 0*b**2 + 0*b**2 - 2*b**4 - 2*b**3 - 3*b**4 + 2*b**3 + (b**3 + b**3 - 4*b**3)*(b + 0 + 0). -7*b**4 Expand w + 3*w - 3*w + 0*w - w + 2*w + (-2*w - w + 5*w)*(1 + 2 - 1) + w - w + w. 7*w Expand (-52*p**3 + 2*p + 55*p**3 + 0*p)*(-5 + 5 + p). 3*p**4 + 2*p**2 Expand (-2*x**2 + 4*x**2 - x**2)*(-1 + x + 1) + (-3 + x + 3)*(-3*x**2 + 6*x**2 - 2*x**2). 2*x**3 Expand (-4*a + 3*a**3 + 4*a)*(-2 + 6 - 2) - 2*a**3 + 1 - 1. 4*a**3 Expand (m**3 + 4*m**3 - 4*m**3)*(0*m + 2*m**2 + 0*m) + (m + m + 0*m)*(2*m + 4*m + 0*m)*(3*m**3 + m**3 - 2*m**3). 26*m**5 Expand 2*i**4 + 3*i**4 - 4*i**4 + (3*i**2 - 4*i**2 + 2*i**2)*(i**2 + 3 - 3) + 2*i**4 + 4*i**4 - 4*i**4 + (-4 + 8*i**2 + 4)*(2*i**2 - 3*i + 3*i). 20*i**4 Expand (-2*d + 6*d - 2*d)*(d - 4*d + d) - d**2 + d - d + (-1 - 2 + 2)*(d**2 - 2*d**2 + 0*d**2) + 6*d**2 - 2*d**2 - 2*d**2. -2*d**2 Expand (0 + 0 + 1)*(-3*v + 5*v - 4*v) + 4 - 4 + v + (3 + 2 - 2)*(-v + v + 2*v). 5*v Expand -4*o**2 + o**2 + o**2 - o**2 - o**2 + 0*o**2 + (0 + 0 + 2*o)*(2*o + 0 + 0) + o + 2*o**2 - o + 20*o**2 - 15*o**2 - 31*o**2. -24*o**2 Expand c - c + 2*c + (c - 3*c + 4*c)*(-4 + 4 + 1) + (3 - 1 - 1)*(-3*c + 4*c + c). 6*c Expand -l - 2*l + l + l**3 + 6*l**3 + 5*l**3 - 3*l**3 + (0*l**2 - 3*l**2 + l**2)*(-3*l + 3*l + 2*l) + 2*l**3 - 5*l**3 - 5*l**3. -3*l**3 - 2*l Expand (-3 - 1 + 5)*(3 - 3 - 7)*(0*h + h - 3*h + (1 + 4 - 3)*(-h + 2*h - 2*h)). 28*h Expand (1 - 1 - 2*x)*(0 - 3 + 4) - 6*x + 10*x + 13*x + (-1 + x + 1)*(-4 - 1 + 4). 14*x Expand (-3*b + b + b)*(-b**2 + 2*b**3 + b**2) - b**4 + b - b + (-18*b + 18*b + 15*b**2)*(0*b - b + 5 - 1)*(-2 + b + 2). -18*b**4 + 60*b**3 Expand (-2 + 2 - 1)*(2 + 6 + 2)*(-7*x + 3*x + 0*x)*(3
{ "pile_set_name": "DM Mathematics" }
alse Let a(d) be the first derivative of -56*d**2 + 255*d - 13. Is a(-5) a composite number? True Suppose 80*j - 25*j - 344 - 426 = 0. Let w be (0 - 561)/((-1)/4). Is (j - 13)/(1 - w/2246) a composite number? False Let m = -39225 + 226798. Is m a composite number? False Let m = 162 - 508. Let z = m - -3835. Suppose -z = -11*i - 695. Is i composite? True Let x be (12 + -2 + 2)*(-4)/(-3). Let s be 11875/(-4) - 4/x. Let d = s + 4350. Is d a composite number? False Suppose 76*d = 81*d + 5*k - 7710705, 4*k = -d + 1542135. Is d a composite number? True Suppose -2*k = -5*k - 11652. Let w = -2233 - k. Is w a composite number? True Let v = -302011 + 650276. Is v composite? True Let i = 8858 + 6291. Suppose 0 = -2*u, 2*y + u + 1417 = i. Is y a composite number? True Let n be (-1 - 1/3)*-3. Suppose 4*j - 36 = -4*b, -3*b - b - n = -4*j. Suppose b*k = 10*k - 3894. Is k a composite number? True Suppose -34120 = -5*h + 2*y, 13*h + 5*y = 14*h - 6801. Is h - -14*(-4)/(-8) composite? False Suppose -4*g + 308 = 3*l, -3*g - l + 4*l = -252. Let b be (g/(-64))/(-2 - 14/(-8)). Suppose n = -4*x - 0*x + 465, -b*n + 2346 = -x. Is n a composite number? True Let l(u) = 31334*u + 5337. Is l(52) composite? True Let v = -626 - -720. Suppose -v*o + 168203 = -87*o. Is o a prime number? True Let z = 3730 - 2283. Suppose 3*g - 11084 = z. Is g prime? True Is (9/5)/(450/15548250) composite? True Let j = 10811 + 3856. Is j a composite number? True Let u be -3 + (-20)/(-8) + 33/6. Let b(c) = -4*c**3 - 22*c**3 + 3 + 11*c**2 - 10*c**2 - u*c - 8. Is b(-2) a composite number? True Let b(k) = -k - 31 - k**3 + 15 - 14*k**2 + 15*k. Let u be b(-15). Is 3/3*(u + 128) a composite number? False Let k(q) = -8*q**3 + 12*q**2 + 29*q - 16. Let c(w) = 4*w**3 - 6*w**2 - 15*w + 8. Let g(x) = -11*c(x) - 6*k(x). Suppose 11 = -16*i + 155. Is g(i) a prime number? True Suppose 0 = k + 2*k, 4*y + k - 140 = 0. Suppose 6*s = -s + y. Suppose s*n - 70 = 115. Is n composite? False Let g = -660 - -663. Is g + 7*(25090/35 - 0) a composite number? False Suppose -4*s - 4*z = -1700, -3*s + 1904 = -z + 629. Is (s/10 - -1)*2930/15 composite? True Suppose -3358498 = -5483*p + 5478*p + o, -3*o = 9. Is p a composite number? True Let n(a) = -51*a**3 + a**2 - 8*a + 17. Let v(l) = -3*l**2 + 13*l + 3. Let f be v(5). Let r be n(f). Suppose 4*w - r - 2029 = 0. Is w composite? True Suppose 3*g = 5*g - 2*v + 1536, -4*v = -2*g - 1538. Let p = 1174 + g. Is p composite? True Let v(b) = 66171*b - 4664. Is v(5) a prime number? False Let g be ((-108)/45)/((-1)/5). Is g/(-8)*(-13732)/6 composite? False Suppose 2*q = -5*q + 63. Let s be 24/16*(-12)/q. Let z(h) = -285*h + 1. Is z(s) a prime number? True Let a be -5*(-6)/75 + 1119/15. Let k = a + -70. Suppose 0 = k*s - 5732 + 337. Is s a prime number? False Suppose -c - 8061 = c + 5*r, r = -2*c - 8073. Is 4/(-3)*c + -1 a prime number? False Suppose -3*z - 2*h = 2*z + 309, -z = h + 63. Let s(a) = 2*a**3 - a + 7. Let n be s(5). Let m = z + n. Is m a prime number? True Suppose 118*r - 119*r = 0. Let w(m) = -2*m**2 - 7*m + 9029. Is w(r) prime? True Let i(b) = 15*b - 743. Let k be i(49). Let d(g) = -3 - 110*g - 1 + 1. Is d(k) prime? True Suppose 3*j - 16 = 5*j. Let t be 1007 - j/(-12)*3. Let m = t - 608. Is m prime? True Let g = 343959 + -83660. Is g composite? True Suppose 9*j - 6*j = -2*n + 11612, 0 = -4*j + 8. Let s = n - -238. Is s composite? True Let p(u) = u + 24. Let j be p(3). Is 10560/j + 17/(-153) prime? False Let p be (-10 - (5 - 9))*(-1766)/(-3). Suppose 4*z = -8240 + 38116. Let d = p + z. Is d composite? True Let w = -42 + 44. Is (w/8)/(20/200240) prime? True Suppose 4*o + 5*n - 354362 - 108561 = 0, 4*o - n = 462905. Is o prime? True Let l(d) = -1352*d**3 + 2*d**2 - 4*d - 1. Let u(z) = 1353*z**3 - z**2 + 4*z + 1. Let m(a) = -3*l(a) - 4*u(a). Is m(-2) a composite number? False Is (-708)/1593*(-702531)/4 a prime number? True Suppose 5*v - 16*f - 1561617 = -15*f, 0 = -10*f - 20. Is v prime? False Let q = 1627 + -1050. Suppose -5*w + 472 = -w - h, -5*w + q = 2*h. Let s = w - -394. Is s a prime number? False Let r(m) = -142*m - 11. Let q = 62 - 67. Let s be 36/q - 3 - 3/(-15). Is r(s) a composite number? False Let u be 2/(5 + -1)*(45 + -43). Is 4422 + (u + 0/4)/(-1) prime? True Let b = -283 + 288. Let t(r) be the first derivative of 11*r**4/4 - 2*r**3/3 - 11*r**2/2 + 3*r + 2. Is t(b) prime? False Suppose -16*p - 2*a = -15*p - 766837, -5*p + 2*a + 3834197 = 0. Is p a prime number? False Suppose -h - 4*i = -0 - 9, 0 = -4*h - 2*i - 20. Let w(n) be the first derivative of -n**4/4 + 8*n**3/3 - 16*n - 1324. Is w(h) composite? False Let g = 210787 + -130340. Is g a composite number? False Is ((-18397405)/(-105) + -2 + 144/63)*3 composite? False Is (-1*(-54)/45)/((-10)/(-593525)) a composite number? True Let j(x) = x**3 + 11*x**2 + 8*x - 12. Let i be j(-10). Let w be -2 + 5 + (-13 - i). Let k(z) = -26*z - 23. Is k(w) prime? False Let u = 252 - 293. Is (-67)/(206/u + 5) prime? False Suppose -j - 7*b + 456868 = 0, -4*j = -3*b - 607223 - 1220218. Is j prime? False Let u(a) = 88*a**3 - 3*a**2 + 4*a - 8. Let h be u(2). Is -4 + (-2)/(-2) - (-2 - h) prime? True Suppose 7646 = 7*l + 1969. Suppose s + 216 = 3*p, -s + 63 + 9 = p. Let d = l - p. Is d prime? True Let i = 59326 + 25903. Is i a prime number? True Let y(z) = 637*z - 87. Let f be y(18). Suppose -f - 25512 = -9*s. Is s prime? True Let u(w) = 9*w**2 + 4*w**2 - 12*w**2 + 1 - w. Let t(o) = -36*o**2 - 7*o + 12. Let b(s) = -t(s) - 5*u(s). Is b(6) composite? False Suppose 0 = -2*o + 9*o. Suppose 2*t = -3*f + 27887, 5*f + 2*t - 26229 - 20244 = o. Is f prime? True Suppose 28*g = -64*g + 425132. Is g composite? False Let y(z) = 1705*z**2 - 250*z - 308. Is y(-15) a prime number? False Suppose 4*v + i = 22649, 49*v - 53*v - 2*i + 22646 = 0. Is v prime? False Suppose -342*d + 341*d + 230 = 0. Is 18724/14 + (-7 - d/(-35)) composite? True Suppose p = -2911*u + 2909*u + 23145, -2*p - 46294 = -4*u. Is u prime? False Suppose -2*d = 4*b - 55112, 3*b = 5*d - 2*b - 137765. Is -6 + 9/(18/d) prime? False Let r(w) = 1365*w**3 + 28*w**2 - 294*w - 15. Is r(8) composite? True Suppose 4*q = -s + 178, 3*s = -3*q + 150 - 12. Suppose 0 = -q*w + 77533 - 16329. Is w prime? False Suppose -49*o + 8761228 = 16*o - 3970907. Is o prime? False Let q = -148270 - -281693. Is q a prime number? False Let m be ((-379)/3)/(264/(-54) - -5). Is (6 + -3 + 4)/((-3)/m) a composite number? True Let s(g) = 5*g**3 - 8*g**2 + g - 4. Let k be s(-4). Let n = 895 + k. Is (5 - 7)/((-2)/n) composite? False Suppose 16687378 = 126*s - 47552377 - 12582571. Is s a prime number? True Let q(z) = 3*z - 5*z - 2*z + 3*z + 2*z**2 + 98 - z**3. Let n be q(0). Suppose n + 151 = 3*s. Is s prime? True Suppose 3*s = 4*z - 402571, 2*z - 231515 = -2*s - 30247. Suppose 6*f + 5*f - z = 0. Is f composite? True Let y = 3 + 14. Let w(z) = 3*z - 10 + 5*z**2 + 7*z**2 + y*z**2 + 7*z. Is w(7) a prime number? True Suppose o - 24 = 2*c, c + 16 = 2*o + 5*c. Suppose 2*u + 2 = p - 2, u + 4*p = o. Suppose u = -3*r + 12*r - 117. Is r a composite number? False Is ((-565)/(-113))/((-15)/(-48381)) a composite number? False Suppose -2*h + 6*h - 11696 = 4*c, 0 = 5*c + 2*h + 14648. Let x = 1639 - c. Is x composite? False Let i(q) = 69*q**2 + 22*q + 34. Suppose 2*h + 5*s = 43, 4*h - 3*s = -6*s + 79. Is i(h) a prime number? False Let x = 518 + -513. Suppose 0 = x*u - u - 5036. Is u a composite number? False Let k be 0/(-2) - (-3)/1. Suppose -415 = -2*j - 5*v, -j + 0*v = k*v - 210. Let o = -106 + j. Is o prime? True Let i = 3584 - -15679. Is i composite? True Let v(f) = 2*f**2 - 4*f - 1. Let u be v(3). Suppose u*t = 8*t - 12. Suppose t*j + 0*j = 804. Is j prime? False Suppose 8*o - 11*o - 5462002 = -17*o. Is o a composite number? True Suppose 4*o - 239842 = -a - 0*a, 0 = -5*o - 4*a + 299819. Is o a composite number? True Let m = 2696 + -1798. Let o be ((22/(-4))/11)/((-2)/20). Suppose p + o*j - 278 = 0, -p + m = 2*p - j. Is p a prime number? False Suppose -5*d - 6*z + 2*z + 82 = 0, -4*d - z = -70. Suppose 4*x + 5*u = 68 + d, 82 = 4*x + 3*u. Is x prime? True Let a be (-30)/70 + 15487/7. Suppose 3*r - a = 2288. Suppose r = 2*u + 526. Is u prime? True Let l be (-45)/10*8/(-4). Suppose l*f + 22812 = 11*f. Suppose f = -42*r + 48*r. Is r a pr
{ "pile_set_name": "DM Mathematics" }
. Solve -t - c*t - 15 = 0 for t. -5 Suppose -16 = -2*n - 8. Solve -5*i + 11 = -n for i. 3 Let c(k) be the second derivative of -k**6/360 - k**4/4 - k. Let d(p) be the third derivative of c(p). Let g be d(-2). Solve 2*t - g = 4 for t. 4 Suppose 5 + 0 = d. Solve -2*o + 3*o + d = 0 for o. -5 Let f(m) = m**2 - 3*m + 3. Let a be ((-12)/2)/(3 + -5). Let u be f(a). Let o(p) = -p**2 + 3*p + 4. Let w be o(4). Solve w = -d - u + 1 for d. -2 Let p be (-6)/3 - (-3 + 1). Solve -3*c + 8*c + 5 = p for c. -1 Let u = 0 + 3. Suppose u*q + q - 24 = 0. Solve -f + q*f + 10 = 0 for f. -2 Let m(s) = s**2 - 2*s. Let z be m(3). Let h(j) = -j. Let l be h(-3). Solve z = l*i - 0*i for i. 1 Let v = 1 - 5. Let p = v + 6. Suppose -2*n - p = -2*z - 14, -z = 5*n - 6. Solve -f + n = f for f. 1 Let s = -11 - -15. Let a be 10/((s - 0) + -2). Let n be 34/3 + 2/3. Solve q = a*q + n for q. -3 Let s = 41 + -37. Let d be 2 + 2 + -3 + 2. Suppose 0 = t - d*t + 10. Solve 0 = -t*p - s - 6 for p. -2 Suppose 3*m + 5*u - 12 = 0, 2*u = -2*u. Let w be 2 + (2 - 2) + 2 + -3. Solve -m*k - w + 21 = 0 for k. 5 Let q(c) = c**3 - 4*c**2 - 4*c + 7. Suppose 0 = x - 4*x + 105. Suppose 5*j = -5*s + x, j = -5*s - 7 + 34. Let r be q(s). Solve -r = b - 4*b for b. 4 Let d be (-3)/4*(-4)/1. Suppose -3*j + 8*j - 2*c = -8, 2*j + 12 = 3*c. Solve j = -q + d*q + 2 for q. -1 Let d be (1 + 1 - -2) + -3 + 3. Solve d*w - 2 = 10 for w. 3 Suppose t - a - 3 = a, 2*a = -t + 3. Solve 0 = -t*w + 1 - 4 for w. -1 Let p = 82 - 80. Solve 0 = -v - p*v for v. 0 Suppose 2*q = 2 - 0. Solve -3 = -4*k + q for k. 1 Let w = -15 + 27. Let f(g) = g - 8. Let t be f(w). Let n(b) = 2*b - 7. Let d be n(7). Solve -t*x - d - 5 = 0 for x. -3 Let s(q) = q - 5. Let z be s(5). Let p be 13/(-4) - 1/(-4). Let b = z - p. Solve b*o = 4 + 8 for o. 4 Suppose 0 = 3*c + 2*c - 20. Suppose j + c*d = -11, -2*d = 5*j - 14 - 3. Solve j*z + 3 = -7 for z. -2 Let f(x) be the third derivative of -x**6/120 - 2*x**5/15 - x**4/4 + 7*x**3/6 - x**2. Let k be f(-7). Solve -5*r + 15 = -k*r for r. 3 Suppose 5 = -5*d - 0. Let p = d + 1. Suppose -86 + 6 = -16*w. Solve -4*q + 3*q + w = p for q. 5 Suppose -2*z + 13*i + 15 = 10*i, 0 = 3*z - i - 12. Solve -k = -0*k - z for k. 3 Let q = 19 - 18. Solve 3*n - q = 14 for n. 5 Suppose -2*n = -2*a - 14, 5*a = 4*n - 26 - 6. Let o = 8 - n. Solve o*k - 16 = k for k. 4 Let j(h) = -29*h**3 - 1. Let z be j(-1). Let b = 40 - z. Solve 2*f - 2 = -b for f. -5 Let j = 12 - 9. Solve 4*p = j*p for p. 0 Let j(a) = a**2 + a + 6. Let k be j(0). Let n(x) = 4*x + 3. Let l be n(0). Solve v - l*v = k for v. -3 Let d = 162 - 156. Solve 0 = 7*f - d*f + 2 for f. -2 Let y = 5 + -4. Let u(k) = -k + 1. Let v be u(y). Solve -2*a = -v*a - 4 for a. 2 Suppose -10 = -5*n + 5. Suppose -5*j + 5*q = -20, 0*q - 6 = n*q. Solve 0 = -w - 0 - j for w. -2 Let b be 1/(-1) + -4 + 8. Solve b*q - 20 = -q for q. 5 Let b(f) = -2*f**2 - 1. Let h be b(-1). Let g be 2/h - 3/9. Let x be (1 - g) + (-1 - 0). Solve -x - 8 = -3*l for l. 3 Suppose x - 4 + 13 = -4*s, 3*x = -s - 5. Let g be -3 + s*(-15)/6. Solve 2*c + g*c - 20 = 0 for c. 5 Suppose -16*v + 16 = -14*v. Solve -5*o + v = -12 for o. 4 Suppose 4*v = 2*s - 8, s - 4*v + 3 = -1. Let u be (-6)/(-9) + 40/s. Solve m = -m + u for m. 2 Let v(r) = r**2 + 6*r + 2. Let j be v(-5). Let d = j + 3. Let y be (-1)/(2/(-4)) + 4. Solve 3*b = -d*b - y for b. -2 Suppose i + b - 20 = -4*i, 0 = -2*i + 2*b - 4. Solve 5*j - 6 = i*j for j. 3 Let x = -6 - -9. Suppose 2 = 4*s - 9*s - 3*b, 4 = -4*s - x*b. Let a = -2 + s. Solve 8*h - 4*h = a for h. 0 Let o(i) = -i**2 - 2*i. Let y be o(-1). Let x be y/2 - (-12)/8. Solve -x*g - 2*g = 0 for g. 0 Suppose 8 = -0*v + 2*v. Suppose 0*q - 4*q = -40. Solve v*l + l = -q for l. -2 Suppose 0 = 3*x + 3 - 15. Let j(q) = 3*q**2 - 4*q**2 + 0*q + 2 - 7 + 7*q. Let h be j(x). Solve -h + 3 = 2*n for n. -2 Let b be (-2 - 6)/(-2)*1. Suppose q = 5*q - b*g - 32, g = 3*q - 14. Let p be (-6)/4*(-40)/6. Solve -q*v = -v + p for v. -5 Let h(x) = 4 + 0 + 2*x - 2 - 3. Let l be h(4). Solve 0 = l*r - 2*r - 10 for r. 2 Let a(d) = d**2 - 1. Let j be a(0). Let b = j - -4. Solve -b - 1 = -l for l. 4 Suppose y - 5*y - 4 = 0, -58 = -5*d - 2*y. Solve -16*o + d*o - 20 = 0 for o. -5 Let h(d) = d**2 - 10*d + 13. Let m be h(9). Solve -w = -m*w - 9 for w. -3 Let i(k) be the first derivative of -3 + 1/2*k**2 + 2*k. Let u be i(0). Solve -2 = -0*c - u*c for c. 1 Suppose 30 = 3*z - 2*z. Suppose y = -4*y - z. Let t be ((-3)/2)/(y/8). Solve -7*a - 20 = -t*a for a. -4 Suppose 5*s - 15 = -5*d, -d = -s - s - 3. Suppose s = -4*q - q - 3*a - 63, 0 = -3*q + 5*a - 65. Let h be 3/q + 2/10. Solve 2*u - 2 - 4 = h for u. 3 Let k(l) = 3*l - 17. Let h be k(6). Solve 2*a + 3 + h = 0 for a. -2 Suppose -3*b = -2*b + 2. Let w be b/(-4)*0/(-2). Let h(g) = -g**2 - 3*g + 1. Let t be h(-2). Solve t*j - 5*j - 6 = w for j. -3 Suppose 0 = 2*g + 2*g - 16. Suppose g*z + p - 8 = -1, 4*z - 9 = p. Solve a + 1 = z*a for a. 1 Let v(d) = -3*d**2 - 2*d + 9*d**2 - 2 - 5*d**2. Let s be v(4). Solve -s = 5*u + 4 for u. -2 Suppose -3*n - 11 = f, -f = -2*n - 2*f - 9. Let y be -3 - (-16 + (-6)/n). Solve 3*t - y = 5*t for t. -5 Suppose 5*f - 5*x - 5 = 0, f + 3*x - 7 = x. Solve f*g - 2 = 2*g for g. 2 Suppose -8*u + 4 = -12. Suppose 6*i - 52 = 5*c + 4*i, 0 = -c - 4*i - 6. Let q = -7 - c. Solve 1 = q*p - u for p. 1 Let g = -6 + 0. Let b = g - -10. Solve 0 = -u + b for u. 4 Let v(p) = p - 1. Let u be v(1). Suppose u = -r + 2*r - 9. Let s be (0 - 0)/(-2 - -3). Solve s = -r*g + 4*g for g. 0 Let j(g) = -g**3 - 3*g**2 + 8*g + 6. Suppose 2*a - 5*r = -20, -3*a = -2*r - 0*r + 19. Let w be j(a). Solve -4*n + w = -0*n for n. 4 Suppose 7*s = 5*s + 20. Solve q = -q + s for q. 5 Let y(w) = -w**3 + 10*w**2 + 12*w - 8. Let h be y(11). Solve -4*p + 9 = -h for p. 3 Let m(j) = 8*j - 2. Let g be m(2). Solve 5*o - g = -4 for o. 2 Suppose 0 = 4*f + 5*p - 68, -12 = -f - p + 4. Suppose -4*b = -2*k - 30, 4*b = -k - 19 + 46. Let q = b - 5. Solve q*h + 2*h + f = 0 for h. -3 Let c(h) = 2*h**2 + 9*h + 4. Let a be c(-4). Solve a = 4*d - 0*d + 16 for d. -4 Suppose 5*p - 12 = p. Let r = p + -5. Let j be -6*(-2 - (r - -1)). Solve q + j = 3*q for q. 3 Suppose -4*y + 8 = 4*r - 0*r, 2 = r - 3*y. Solve r*w - 1 = w for w. 1 Let w = 17 + -2. Solve -x = 2*x + w for x. -5 Let l = -10 + 12. Solve 0*z - z + l = 0 for z. 2 Let h = -33 + 37. Solve 3*v - 2 = h*v for v. -2 Let k be (-52)/(-12) - 6/(-9). Solve c = k*c - 8 for c. 2 Suppose -4*p = -2*g - 60, 6 - 21 = -p - 5*g. Solve -p = -4*q + 5 for q. 5 Suppose 0 = -3*y + 28 + 47. Suppose 20*o - y*o = 0. Solve o = 6*t - 2*t for t. 0 Suppose 2 + 18 = 5*s. Solve -l + s*l = -6 for l. -2 Suppose 2 = z - 1. Let j = z + 0. Solve -2*l - 5 + j = 0 for l. -1 Suppose 0 = 5*l + 3*w - 1 + 10, -3*l = w + 3. Let p be (-1 + 0)/(7/(-21)). Solve 0 = p*j - l*j for j. 0 Let p(l) = 4*l**3 - 3*l**2 + 5*l - 1. Let j(m) = -3*m**3 + 3*m**2 - 4*m + 2. Let c(x) = -3*j(x) - 2*p(x). Let n be c(4). Solve -i - 3*i = -n for i. 5 Let j(l) = l**3 + 6*l**2 + 5*l + 4. Let g = -11 + 6. Let d be j(g). Let w = 0 - 0. Solve 3*z - d*z = w for z. 0 Suppose -6*i + 78 - 66 = 0. Solve 0 = -i*m + 5*m for m. 0 Suppose 0 = 4*u - 69 + 13. Let i = 22 - u. Let t = i - 5. Solve m - t = -1 for m. 2 Let q be 2/(-10) + (-3)/(-15). Let l = 2 + q. Suppose -l*a + a = -4. Solve 2*j = 6*j + a for j. -1 Suppose -5*k - r + 100 = -6*r, 35 = 3*k + 2*r. Solve -k = -2*s - s for s. 5 Let y(g) = 3*g**3 - 4*g**3 + 3*g**3 + g**3 + g**2. Let v be y(1). Let k = v + 0. Solve 0 = -k*c - 3 + 7 for c. 1 Let n(d) = d - 7. Let s be n(17). Solve 3*i = 5*i - s for i. 5 Suppose 0 = 3*b - u + 2 - 1, 2*b = 5*u + 21. Let t be ((2 - 4) + 0)/(-1). Let y be (5 - t)/(-1 - b). Solve -x = -y*x for x. 0 Suppose 0 = -3*m + 5*m - 8. Suppose 4*j - 5*v = -m, j - v + 12 = 3*j. Solve -4*s + 0 = -j for s. 1 Suppose k + 3*k = 12. Suppose -j + 18 = k. Solve 3*v - 6*v - j = 0 for v. -5 Suppose -r - 4*r + 11 = p, -5*p = -5. Suppose 0 = -4*u + r*u - 46. Let y = -3 - u. Solve 4*i = -i + y for i. 4 Let q(d) = -2*d + 0 - 4*d**3 + 0*d**2 + d + d**2 - 1. Let b be q(-1). Solve h - 2*h = b for h. -5 Suppose -c - 4 = 3*c. Let u(z) = -2*z. Let f be u(c). Let m(n) = n**2 - 3*n + 8. Let k be m(4). Solve 5*o - f = -k for o. -2 Let g be 12/8 + (-2)/4. Suppose f + g = 2*f. Let k = 4 - f. Solve -2 - 4 = k*
{ "pile_set_name": "DM Mathematics" }
16 - -7) + 6/18. 3/11 What is ((-10920)/(-7280))/(41 + 0)? 3/82 Calculate ((-24332)/(-7900) - 2/25)*(-33)/(-9) + -33. -22 Calculate 4480/(-3360) - (-22)/(-24). -9/4 What is the value of (-95)/4 + (-13)/(-364)*-7 + 13? -11 Calculate (5 + 61)/6 + (38 - -1)/(804 - 801). 24 What is the value of (-12)/(-10) - ((-1097695)/9150 + (-12)/(-72))? 121 What is the value of (5/(-60) - 1/(-4)) + ((-19690)/(-2244) - 10)? -18/17 What is the value of 10/(-1) + (20 - 45) + -25? -60 What is the value of (-296)/12 - (-71708)/(-2364)? -55 What is the value of (375/39)/(30/(-455) - 356/(-2492))? 125 What is (84/(-312))/((-182)/(-169))? -1/4 (-45)/(((-12213)/(-590))/23) -50 What is the value of (-21)/((-13134)/198 + 66)? 63 208/12*(-9)/6 - (-13)/((-65)/(-5)) -25 (-172)/(-602)*5117/(-34) + 3 + (-2)/1 -42 What is (-6187)/(-345) + ((-2)/10)/(15 - 18)? 18 What is the value of 43160/(-129584)*-126 + 1 + -43? -3/89 Evaluate (528/465 + (-522)/(-8091))/(-1). -6/5 What is the value of ((28/(-18))/(4/(-24)) - (-252)/(-28))*333? 111 What is the value of 41331444/290206 - (-16)/(-38)? 142 Evaluate -2266 - -2253 - (0 - -54). -67 (-364)/210 + 2/5 - (32 - (-6020)/(-150)) 34/5 What is the value of (240/6)/(530/689)? 52 What is (-4147)/(-43732)*-116 - 12*-1? 1 ((-12)/(-110))/(2232/(-1116)) -3/55 What is -25 - (-603585)/22967 - ((-1440)/105 - -15)? -1/193 Calculate (-8)/12*558/(-10230). 2/55 Evaluate (5 - 267/21)/((-654)/(-6104)). -72 Calculate ((-2)/5 + (-21268)/(-2045))/(-1). -10 What is the value of 8/76 + (-344344)/19019? -18 (((-188)/(-705))/(3/(-10)))/((-96)/4752) + -1 43 What is the value of (-6)/57 + ((-10)/(-9))/((-1197)/297)? -8/21 Calculate 8868*(-39)/4212 + 85. 26/9 What is the value of (-35*23/(-322))/(5/9)? 9/2 4/(-3)*19*(-273)/452998 2/131 Evaluate 2740/3836*(4/((-176)/14) - 34/187). -5/14 ((-7560)/(-80) + -112)/((-2)/4) 35 Evaluate (-15)/(23 - (224/(-576) - -22)). -54/5 ((51985/74)/(-281))/(70/24) -6/7 What is the value of 11/((-67760)/(-7072)) + 60/(-1050)? 12/11 (-3)/(-10)*-2 - (-65)/((-1407575)/(-13703)) 2/61 Evaluate (-7)/(-15)*11475/6120. 7/8 What is ((-1155)/693)/(10/108)? -18 What is the value of -2 - (-17 + 0) - (-3103 - -3139)? -21 Calculate 4*(3825/18)/(-17). -50 What is 32/(-2) + (-119 + 215 - 59)? 21 What is the value of (-252)/((-210)/10) - (-4 - 340/(-51))? 28/3 Evaluate ((5 - 8 - 8) + (-3876)/(-342))/((-2)/12). -2 Evaluate 224/784*1/1*(-11 - 6696/(-603)). 2/67 What is the value of 27/(-24) + 1 + (-921298)/21488? -43 Evaluate (-26)/325*(268/(-92) + 5 + 24/(-276)). -4/25 Calculate (1387/73 - 33) + -2 + 111/15. -43/5 Evaluate 5 - 139 - 2030/(-870)*(9 - 0). -113 What is (8 + -21 + -4 - -12) + 225/33 + 0? 20/11 Evaluate ((7659/(-3105))/((-4)/12) + 22)*-5. -147 Calculate (7/3)/((-2669)/6594*-42 + 65/18). 6/53 (-2360)/(-4130) + ((-17376)/(-56))/(-4) -77 What is (2540/45720)/(44/(-54))? -3/44 What is 12/(-15)*20/40 + 2020/50? 40 Evaluate 69/897 + (-4630)/1040 + (-9)/(-24). -4 Calculate (-7616)/(-192) + (-16 - (-196)/12). 40 What is the value of (1320/(-198))/((-55)/627)? 76 Calculate (168/(-588))/(6/(-64)) - (-7)/(-147). 3 What is (-384)/810 - (5 - (-273)/(-70) - (-72)/(-48))? -2/27 What is ((-14)/(-4)*6156/(-3591))/((-1)/2)? 12 2/39 - (-130)/14196*49 1/2 What is -65 - 14/((-21518)/100011)? 2/29 What is the value of 100127/2761 - (-985 + 1021) - 1/(-11)*-3? -2/251 Calculate (-90)/((-3905)/110 + 40). -20 What is the value of (2*6/860)/((-22515)/(-75050))? 2/43 What is the value of (13*(-38)/1976*0)/(-2)? 0 Calculate ((-6)/(-9))/(6/63) + (4851/90 - 61). -1/10 What is (-951)/3487 - ((-64)/(-34) + -1)/11? -6/17 What is the value of (-51)/((-204)/(-40)) - 1*(3 + -1)? -12 Evaluate ((3 + -11)/(-1 - -3))/((-30)/(-195)). -26 Evaluate 1863165/(-116970) + (-31)/(-2). -3/7 What is the value of ((-1343)/42 - 174832/(-3568)) + 1/(-42)? 17 Calculate ((-188)/50760*45)/((-1)/(-414)). -69 Evaluate ((-12)/(-18))/((-2)/9)*(-24 + 1410/45). -22 Calculate 0*(-2 + 1)*(-6455)/83915. 0 Evaluate (-27)/15*(-245765)/102087. 13/3 Calculate -7 - -9 - 25*(-390)/(-750). -11 What is (2512/(-160) - -16)*(-641480)/(-1218)? 158 Evaluate (-200)/4 - 2146/(-58). -13 ((-10)/60)/((-9712)/3232 - -3) + 24/(-9) 31 What is (-340938)/93093 + 36/14? -12/11 (10*8/(-1440))/((-11)/22*(-9)/(-6)) 2/27 (1558/164*6/4)/(-5 - (-38)/8) -57 Calculate -41 + (-24 - -6) + 39. -20 Evaluate (138 - 34629/238)/(-1 - 17). 5/12 Calculate 51/(-1428)*63*12. -27 What is -3*15/54 + ((-11)/(-198)*-86)/(-2)? 14/9 What is (-35)/(-25) + 0 - (-10)/(30/(-7))? -14/15 Evaluate (-17 + -6 + -27)/(70 - 75). 10 Calculate 70/(-385) + ((-4788)/(-22))/9. 24 ((-12)/8 - -3)/(30/(-280)) + 316420/22620 -1/87 2/260*(-95925)/(-38370) 1/52 1496/(-3927) - 9/7 -5/3 Evaluate ((-5)/(-5) - 26/(-6)) + 0*(-7)/525. 16/3 What is ((11808/(-128))/(-41))/((-10)/(1120/6))? -42 What is (-51)/(-75) - -30*80/(-3000)? -3/25 What is ((-5)/(500/(-240)))/(-1 - (-5)/20)? -16/5 What is the value of (546/9)/(-65*(-18)/(-1755))? -91 Calculate 2613/273 + 312/(-546). 9 What is 644/12558 - (-6 - 100499/(-16653))? 1/61 Calculate (9 + 736/138 - 15)*((-221)/2 - 2). 75 1/4*(-56)/(-126)*15*276/10 46 What is the value of 209/76*11256/2211? 14 Calculate 5 - 2/2 - 26/10*19040/(-544). 95 What is 174 - 157 - 1392/84? 3/7 Evaluate (144226/(-159137)*-11 - -3*(-4)/138) + -10. -2/17 Evaluate ((88/11 - -7) + 21960/30)*(-2)/(-18). 83 Calculate 5/(-21) - 57620/(-5628). 10 Calculate -24 - 45*294/(-378). 11 What is the value of 5/((-120)/66)*(20/(-200))/(6/96)? 22/5 Evaluate (-44 + -1 - (0 + 1)) + (72 + 31 - 102). -45 Calculate (-250101)/63585 - (-141)/(-15). -40/3 Evaluate 78*3/96*((-70)/(-126))/(100/120). 13/8 -35 - ((-90045)/58)/45 -1/2 17 + (18 - 1 - 9282/408) + -3 33/4 What is the value of 22224/(-696) + (-3 - 170/(-58))? -32 245/(-1248) - (-4928)/48048 -3/32 ((-3263)/182 - -16 - (-6)/63) + (-23)/138 -2 Calculate (3 - 1)/(7/(-10) - 8/(-12)). -60 What is the value of (10125/1660)/(-9) + 342/(-570)*25/(-20)? 6/83 (10/1080)/((-144)/(-32)*(-11 - (-1841)/168)) -4/81 Evaluate (0 - (-90)/(-84))/(-14 + (-1232)/(-98)). 3/4 (-44)/33 - 10500/(-126) 82 Evaluate -58*(-65)/7540*-20. -10 What is the value of (9/88*210/(-315))/6? -1/88 What is the value of (-14)/4 - ((-12987)/78 + 93)? 70 What is the value of (340/(-120) - -3)/(44/(-1842)) - (-126)/18? 1/44 Evaluate ((-30)/(-27))/((-1120)/(-24192)). 24 (((-690)/207)/(-10))/((-3)/2) - (-781)/(-9) -87 What is (-3)/18*-112*((-297)/(-44) - 6)? 14 Calculate (559 - 4)*(142 - (-2844)/(-20)). -111 (-86)/(-5)*(126/(-28) - (-10 + 3)) 43 Evaluate ((-3)/27)/(384/(-148608)). 43 Calculate (2/230)/((462/9240)/(35/(-28))). -5/23 What is 6/61*((-2110)/30 - -70)? -2/61 (14 + -16)*(7 + 7) - 5 -33 What is 11210/8968 + -2 + (1269/(-12))/(-9)? 11 What is the value of -30 + -25 - (-5082)/154? -22 47608/(-1160445)*(-3)/4 2/65 Evaluate 13/1 + (9 - 1362/(-10)*(-3130)/19406). 1/31 What is the value of (30/(-27))/(6/9)*93058/(-27370)? 17/3 Calculate 29/(464/(-64)) - ((-6)/(-36) + 0). -25/6 What is the value of (-320425)/(-2240) - (-66)/(-1408)? 143 Calculate (-12)/32*168 - -33. -30 What is (66/9108)/(2/(-4))*3? -1/23 What is the value of 51798/(-979) - 42 - -94? -10/11 What is (77 - 45374/588)*468? -78 Calculate (-430)/((-119)/(-238) - 276/72). 129 Calculate (-199836)/103090 - 7/(-5). -7/13 Evaluate 44/24*91035/(-89012). -15/8 What is the value of (-12)/(-7)*(-64064)/20592? -16/3 What is (6292/665379)/(3 + 0 + 100/(-36))? 2/47 Calculate 562/(-40) - 0 - (12 - (-3692)/(-142)). -1/20 What is the value of 2*-5 - ((-73784)/(-828) - 102)? 26/9 (52/143)/(30/154 + 224/(-784)) -4 Calculate 1872/4212*(35/4 - -1). 13/3 What is (2210/(-2340) - 8/(-6))*126? 49 Calculate ((-183)/(-189) + -1)/((-182)/1638). 2/7 What is ((-5605)/177)/(13/(-897)*-23)? -95 What is the value of ((-5)/((-25)/196) - 11/55) + 14? 53 Evaluate 5/(-28)*(145 - (-304255)/(-2100)). -1/48 Calculate 766 + -771 + (2/4)/(1/(-20)) - -9. -6 Evaluate (-14)/161 + 14280/230 - 20. 42 What is (-126)/(-54)*4644/301? 36 What is (-37)/(3441/(-248)) - 3? -1/3 (440/77)/(5*(-7)/14) -16/7 What is (-30 - 48426/(-1617))/((120/(-14))/10)? 2/33 What is (3 - 2)/((-3)/2*(-24)/(-108))? -3 What is the value of (-409)/2863 - ((-10)/30 - (-1000)/(-42))? 24 What is the value of 1/(-11)*(-1062)/(-295)*150/135? -4/11 What is ((-38)/44)/(31 + 15778/(-506))?
{ "pile_set_name": "DM Mathematics" }
-7240000. Suppose -2*f = -f + 3*t + 1809997, -4*t = -4*f - r. Round f to the nearest one million. -2000000 Let x = 4.4 + -1.3. Let b = x + -3.073. Let d = b + -0.0270034. What is d rounded to six decimal places? -0.000003 Suppose -5*i = -5, -2*i - i + 33 = -2*k. Let c be 16298 + (k/(-20) - (-20)/16). Round c to the nearest one thousand. 16000 Let d = 11.83 + -12. Let t = -67.83 + d. Let i = -68.0028 - t. What is i rounded to 3 dps? -0.003 Let k = 0.25 - 10.65. Let s = k - -7.2. Let c = -3.200044 - s. Round c to 5 dps. -0.00004 Suppose 0 = 3*i - 6*y + 8*y - 198930, 5*i = -2*y + 331550. Suppose 128990 = -10*f - i. What is f rounded to the nearest 1000? -20000 Let k = -176 - -120. Let o = k - -58. Let a = -1.99999726 + o. What is a rounded to 7 decimal places? 0.0000027 Let x = 102208876.70000006 - 102208878. Let g = 23 + -21.7. Let b = g + x. What is b rounded to seven dps? 0.0000001 Let o = -38 + -1. Let h = 85 + o. Let f = h + -46.00002. What is f rounded to 4 dps? 0 Suppose -170*f + 1507020 = -169*f - 5*b, b + 2 = 0. Round f to the nearest ten thousand. 1510000 Let g = 370.70000123 + -370.7. Round g to 7 dps. 0.0000012 Suppose -4*f - 4*o + 256 + 424 = 0, -2*f + o = -349. Suppose 0 = -5*x - 4*v + 472042, -2*x + f*v = 168*v - 188830. What is x rounded to the nearest 10000? 90000 Suppose 3*m - 46233 = -3*g, 0 = 4*m - 5*g + 10*g - 61639. Suppose -m = -27*r + 3592. What is r rounded to the nearest 10? 700 Let n = 294238163.688996919 - 294238030.689. Let q = 133 - n. Round q to seven dps. 0.0000031 Let f = -946 + 590. Let y = f - 51. Let i = y - -406.9807. What is i rounded to 3 dps? -0.019 Suppose 3*z - 19 = -5*f + 5, 2*f = 5*z - 9. Let t = 242841 + -111837. Suppose -5*s + q = -t, s - 131012 = -4*s + z*q. Round s to the nearest one thousand. 26000 Let g(j) be the third derivative of -71*j**4/12 + 20*j**3/3 + 117*j**2. Let r be g(4). Round r to the nearest 10. -530 Suppose 11*a = -12483102 + 80628102. What is a rounded to the nearest 100000? 6200000 Let m = -103 + 96.85. Let i = 3.44 + m. What is i rounded to the nearest integer? -3 Let v = -0.031 - -0.782. Let h = -0.049 - v. Let b = h - 0.92. Round b to one decimal place. -1.7 Let k = -29439.99946823 - -29440. Round k to 6 dps. 0.000532 Let h = 120.7090028 + -120.685. Let n = h - 0.024. What is n rounded to six dps? 0.000003 Let n(l) = -253*l**2 - 8*l. Suppose -10*b + 36 = -16*b. Let z be n(b). Round z to the nearest 1000. -9000 Let c = -423.830497 + -54.142909. Let i = 478.576 + c. Let g = i + -0.602. Round g to 4 dps. 0.0006 Let j = 555.3 + -555.2999989657. What is j rounded to seven decimal places? 0.000001 Suppose -24*f = -28*f + 4728. Let t = -7386 + f. Let j = t - -3884. Round j to the nearest one thousand. -2000 Suppose 0 = c + 2*y - 106, -c + 4*y + 79 = 3. Let j = -91 + c. Suppose -5*a - 5000002 = 2*o - 4*o, j*a + 4*o + 4999996 = 0. Round a to the nearest one million. -1000000 Suppose -3*l = -13*l. Suppose 4*z + 0*z = -3*b - 6389996, -b - 4*z - 2129996 = l. What is b rounded to the nearest 100000? -2100000 Let q(y) = -54425*y. Let j be q(6). Let p be (j/63)/((-2)/(-12)). Round p to the nearest one thousand. -31000 Let v = 1702.466 + -1702.6205299. Let x = v - -0.0615585. Let l = x + 0.093. Round l to 6 decimal places. 0.000029 Let c = 12542 - 12539.6071. Let g = -2.24 - 0.16. Let l = g + c. What is l rounded to 3 dps? -0.007 Let g = -20788 + 20788.63412. Round g to 3 decimal places. 0.634 Suppose -4*o + 569202 - 137392 = 2*t, -2*t + 323860 = 3*o. Round o to the nearest 1000. 108000 Let n = -8938 + 8934.4999. Round n to 1 decimal place. -3.5 Let p(a) = -a**3 - 14*a**2 + 23*a - 2. Let m(g) = 4*g - 5. Let s be m(4). Let y be p(s). Let h = -5874 - y. Round h to the nearest one thousand. -3000 Let y = -41.681 - 53.915. Let k = -95.765 - 0.235. Let r = y - k. Round r to two decimal places. 0.4 Let k = -19120 - -19152.812. What is k rounded to 0 decimal places? 33 Let l = 4787722 + -4787747.999955. Let g = 109 + -83. Let u = g + l. What is u rounded to five decimal places? 0.00005 Let i = -194768 - -5326. Let t = 189383.99896 + i. Let q = t + 58. Round q to 4 dps. -0.001 Let k = -27045569810805 + 27045577680532.07699886. Let x = k - 7869727. Let r = x - 0.077. What is r rounded to seven dps? -0.0000011 Let p = -1668 + 1668.001062. What is p rounded to four decimal places? 0.0011 Let a = -93.6 - -110. Let x = 16.069 - a. Let b = 66.769 - x. What is b rounded to the nearest integer? 67 Let g = 0.066 + -15.566. Let l = 15.500627 + g. Round l to 5 decimal places. 0.00063 Let c = 17 - 14. Let b be (-345)/(c - (-1199)/(-400)). Round b to the nearest one hundred thousand. -100000 Let d(v) = 233580*v**2 + 8*v + 8. Let z be d(-4). Let s(c) = 7950*c**2 + 17*c - 5. Let m be s(-17). Let k = z - m. Round k to the nearest 100000. 1400000 Suppose -941771563 = -2*d - 5*g + 520128407, 0 = -10*g - 60. What is d rounded to the nearest one million? 731000000 Suppose -3*g + 69252 = 8910. Suppose g = -2*u + 6614. Round u to the nearest one thousand. -7000 Suppose 4*j = -4*w + 11200, -55*j + 50*j - w = -14016. What is j rounded to the nearest one thousand? 3000 Let x = -120 - -120.39. Let l = 0.44 - x. Round l to the nearest integer. 0 Suppose -45*q = -70*q - 1265500000. What is q rounded to the nearest one million? -51000000 Let s = 1672448 - 5292413. Let c be (s/(-20))/(2/8). Let p = c - 450993. Round p to the nearest 10000. 270000 Let a = -1279792290.300000578 + 1279792289. Let q = -1.3 - a. What is q rounded to 7 dps? 0.0000006 Let y = 408 - 614. Let c = y + 204.02. What is c rounded to one dp? -2 Let n = 585 + -591. Let j = 10.9284 - 16.9447. Let o = j - n. Round o to two dps. -0.02 Let x = 4982.78 - 4942. Let f = x - 41. Let n = f - -0.21725. Round n to 4 dps. -0.0028 Let g = 386.486 - 387. Let u = g + -0.012. What is u rounded to one decimal place? -0.5 Let v = -43878719503 + 43878720651.397813663. Let h = -2.602105437 - v. Let u = 1151 + h. What is u rounded to five decimal places? 0.00008 Let v = 277 + -276.9077. Let q = -0.09234108 + v. Round q to six dps. -0.000041 Let h = -0.569 + -2.121. Let q = h - -8.49. Round q to 0 decimal places. 6 Let r = -32341.47 - -32516. Round r to the nearest ten. 170 Let x = 9991.9995763 + -9992. What is x rounded to 5 decimal places? -0.00042 Let w = -108.1 - 3.9. Let g = -111.9585 - w. Let z = g - 0.05. What is z rounded to three dps? -0.009 Let n = 20.71 + -21.78. Round n to 2 dps. -1.07 Let b = -5608 + 5588.205. Round b to 1 dp. -19.8 Let p = -19.310972664 - -19.27097. Let t = p - -0.04. What is t rounded to 7 dps? -0.0000027 Let j = 4244 + -4243.9999998421. What is j rounded to seven dps? 0.0000002 Let q be ((-9)/(-15))/(7/76790). What is q rounded to the nearest one hundred? 6600 Let s = 10809 - 3674. Let w = 3903 - s. Let d be (-1)/10 - w/320. Round d to the nearest integer. 10 Suppose -130 = 163*a - 150*a. Let h be 8849880/(-150) + 8/a. What is h rounded to the nearest 100000? -100000 Let s = 0.12486 + -14.21086. What is s rounded to 1 decimal place? -14.1 Let m = -309.0147 + 0.0147. Let a = -308.99999245 - m. Round a to 6 dps. 0.000008 Let v = -0.143613 - -0.10261275. Let z = -0.419 - -0.378. Let s = z - v. What is s rounded to 7 decimal places? 0.0000003 Let b = -144999 - -211415. Let n = -66412.9937 + b. Let j = -3 + n. What is j rounded to three dps? 0.006 Let k = 5312 + 75418. Round k to the nearest 1000. 81000 Let h = -4372.765 + 0.765. Let t = 4363.891 + h. Let f = 7.59 + t. Round f to 2 decimal places. -0.52 Let r be (-200)/12*-1515*-4. Round r to the nearest one hundred thousand. -100000 Suppose d - 14112 + 15001884 = 3*o, 5*d + 74938880 = -5*o. Let f = 3677775 + d. What is f rounded to the nearest 1000000? -11000000 Let h be 19310374/30 + -1 + (-26)/195. Let b = -44678 + h. What is b rounded to the nearest 100000? 600000 Suppose -3*k + 5*h = -45 - 1982, h = k - 679. Round k to the nearest 1000. 1000 Let b = -0.054647 - -0.0546438053. Round b to seven decimal places. -0.0000032 Let c = 0.48 + -0.13. Let h = c + 19.65. Let z = h + -19.99954. Round z to 4 decimal places. 0.0005 Let g = 188.391 - 188. Let s = 7805781.90900291 + -7805782.3. Let u = g + s. What is u rounded to seven dps? 0.0000029 Suppose -x + 12 = -0*x + 5*v, -4*v - 12 = -x. Suppose -x*d = -
{ "pile_set_name": "DM Mathematics" }
s prob of sequence na? 2/9 Calculate prob of sequence xrx when three letters picked without replacement from {r: 2, x: 5}. 4/21 Calculate prob of sequence wc when two letters picked without replacement from {c: 2, u: 2, w: 1, x: 2, v: 1}. 1/28 Calculate prob of sequence vzv when three letters picked without replacement from {v: 9, z: 9}. 9/68 What is prob of sequence zzoz when four letters picked without replacement from ozzoozozozzz? 35/396 Two letters picked without replacement from whhhhwwthwwhwwt. What is prob of sequence wh? 1/5 Two letters picked without replacement from mmwbgb. What is prob of sequence mw? 1/15 What is prob of sequence owno when four letters picked without replacement from {s: 2, o: 5, w: 1, k: 3, n: 6}? 1/476 What is prob of sequence hfh when three letters picked without replacement from {f: 1, h: 11}? 1/12 Calculate prob of sequence fiix when four letters picked without replacement from iixiiixfixxxxixixfi. 4/323 Calculate prob of sequence fjmr when four letters picked without replacement from {f: 1, r: 1, m: 1, j: 1, o: 1}. 1/120 Two letters picked without replacement from {x: 1, o: 2, m: 4, f: 3, a: 2}. Give prob of sequence xf. 1/44 Calculate prob of sequence cnz when three letters picked without replacement from eetbbznc. 1/336 Three letters picked without replacement from {n: 1, j: 1, r: 1, c: 1, e: 1}. What is prob of sequence cnj? 1/60 What is prob of sequence qiw when three letters picked without replacement from wcccqiivuwwvi? 3/572 Three letters picked without replacement from {p: 1, k: 4, j: 2, h: 4}. Give prob of sequence jkp. 4/495 Two letters picked without replacement from pppxpwpuwupppxupwpw. What is prob of sequence uw? 2/57 Calculate prob of sequence rm when two letters picked without replacement from {r: 2, m: 2}. 1/3 What is prob of sequence ppu when three letters picked without replacement from uzlzzuzzzlzuuzuppzzu? 1/570 Three letters picked without replacement from oioookikokookkoo. Give prob of sequence iik. 1/336 What is prob of sequence xl when two letters picked without replacement from {i: 2, g: 1, q: 5, x: 3, l: 6}? 9/136 What is prob of sequence wwlp when four letters picked without replacement from llwwllwpwlp? 1/66 Three letters picked without replacement from lleeleeetteeeeetelt. Give prob of sequence ltt. 8/969 Calculate prob of sequence szz when three letters picked without replacement from {n: 1, t: 7, s: 2, a: 1, u: 2, z: 4}. 1/170 What is prob of sequence xoo when three letters picked without replacement from xmboonlb? 1/168 What is prob of sequence lu when two letters picked without replacement from dddudljjjluddjbll? 1/34 What is prob of sequence pz when two letters picked without replacement from {j: 2, m: 4, p: 2, f: 1, z: 6}? 2/35 What is prob of sequence eu when two letters picked without replacement from {e: 2, w: 5, u: 4}? 4/55 Two letters picked without replacement from abbbaaaababb. Give prob of sequence ab. 3/11 Four letters picked without replacement from {m: 2, z: 8, e: 5}. What is prob of sequence ezee? 4/273 Four letters picked without replacement from {v: 3, i: 2, m: 4, w: 1, x: 1, o: 4}. Give prob of sequence vwmm. 1/910 Two letters picked without replacement from {o: 3, m: 8, e: 1, c: 4, w: 1}. Give prob of sequence oo. 3/136 What is prob of sequence mgmg when four letters picked without replacement from ggmggmgm? 1/14 Two letters picked without replacement from {u: 6, d: 4}. Give prob of sequence dd. 2/15 Calculate prob of sequence ksc when three letters picked without replacement from {k: 4, s: 4, h: 3, c: 6}. 2/85 Three letters picked without replacement from {d: 1, n: 1, r: 3}. What is prob of sequence rnd? 1/20 Calculate prob of sequence wm when two letters picked without replacement from {x: 5, w: 4, m: 1, n: 6}. 1/60 Calculate prob of sequence tbg when three letters picked without replacement from {g: 1, o: 7, x: 5, z: 2, t: 2, b: 3}. 1/1140 Two letters picked without replacement from {w: 5, z: 1, k: 2, p: 2, g: 1, e: 5}. Give prob of sequence zp. 1/120 Three letters picked without replacement from orrrororrrorrorrrrr. What is prob of sequence oro? 140/2907 Two letters picked without replacement from qqqzzqqq. Give prob of sequence zq. 3/14 Calculate prob of sequence ls when two letters picked without replacement from lls. 1/3 Four letters picked without replacement from wwwuuuuuwuwuuu. Give prob of sequence uuwu. 15/143 Four letters picked without replacement from {x: 5, u: 5}. What is prob of sequence uuxx? 5/63 Calculate prob of sequence qb when two letters picked without replacement from pppnqqphnphhpbqphq. 2/153 Two letters picked without replacement from {l: 1, q: 1, m: 2, c: 1, y: 1, e: 2}. Give prob of sequence lm. 1/28 Four letters picked without replacement from {n: 1, g: 2, j: 1, e: 1, f: 2}. What is prob of sequence nfje? 1/420 Two letters picked without replacement from {a: 1, l: 1, k: 6, u: 1}. What is prob of sequence ak? 1/12 Two letters picked without replacement from vtqnntovjonjnov. What is prob of sequence vt? 1/35 Two letters picked without replacement from {z: 1, e: 2, h: 1, q: 1, y: 1, i: 1}. What is prob of sequence zh? 1/42 Three letters picked without replacement from aharh. Give prob of sequence arh. 1/15 Two letters picked without replacement from {u: 1, d: 6, g: 4, z: 4, x: 2, v: 1}. Give prob of sequence ud. 1/51 Two letters picked without replacement from {l: 4, h: 8, z: 3, v: 1, n: 3}. What is prob of sequence zl? 2/57 Three letters picked without replacement from tjtttttutwtutt. What is prob of sequence twj? 5/1092 Two letters picked without replacement from qmsmmsqmsqm. What is prob of sequence qq? 3/55 Three letters picked without replacement from aklvo. What is prob of sequence lva? 1/60 Calculate prob of sequence lfk when three letters picked without replacement from sbbksfbsblsbkbbk. 1/1120 Four letters picked without replacement from {t: 4, a: 3}. What is prob of sequence aatt? 3/35 Calculate prob of sequence btnp when four letters picked without replacement from {p: 2, d: 4, b: 6, n: 4, t: 1}. 1/1190 Calculate prob of sequence rriq when four letters picked without replacement from ririiirrrrriiqrrrr. 11/1224 What is prob of sequence wznz when four letters picked without replacement from {w: 2, s: 2, n: 8, z: 2, q: 1}? 4/4095 What is prob of sequence dt when two letters picked without replacement from zzbuutzoddtdzbt? 3/70 Three letters picked without replacement from {s: 1, u: 3, g: 3, q: 6, l: 2}. What is prob of sequence gsq? 3/455 Four letters picked without replacement from {y: 3, c: 1, e: 5}. What is prob of sequence eeye? 5/84 What is prob of sequence gg when two letters picked without replacement from gggoggoogggggg? 55/91 Four letters picked without replacement from {b: 1, q: 1, l: 2, i: 1, y: 5}. What is prob of sequence yyib? 1/252 What is prob of sequence vvvr when four letters picked without replacement from vvrvvr? 2/15 What is prob of sequence meem when four letters picked without replacement from meemem? 1/10 What is prob of sequence ar when two letters picked without replacement from raraaaaaeaer? 7/44 What is prob of sequence ffkk when four letters picked without replacement from kfkffffff? 1/36 Calculate prob of sequence cjc when three letters picked without replacement from ccjjjjcjcccc. 7/44 What is prob of sequence gssr when four letters picked without replacement from {z: 3, r: 7, g: 1, s: 2, f: 1}? 1/1716 Three letters picked without replacement from uuuuu. What is prob of sequence uuu? 1 Calculate prob of sequence qf when two letters picked without replacement from kkkkmqkfqkmnmk. 1/91 Two letters picked without replacement from yfyffwf. What is prob of sequence wf? 2/21 What is prob of sequence kcz when three letters picked without replacement from yzyzcccqyzqkqzczzaq? 4/969 Three letters picked without replacement from cmymmgcgcmggz. Give prob of sequence mmg. 4/143 Calculate prob of sequence umn when three letters picked without replacement from mauauauauauuauuunanu. 1/342 What is prob of sequence xnnx when four letters picked without replacement from {n: 2, i: 1, x: 2, v: 1, r: 1}? 1/210 Two letters picked without replacement from hxzxazhzzxhxhha. Give prob of sequence hh. 2/21 Calcul
{ "pile_set_name": "DM Mathematics" }
.099, -0.3 Put 0.023, 1, -5 in descending order. 1, 0.023, -5 Sort -61, -2, -3, 4, 5 in ascending order. -61, -3, -2, 4, 5 Sort -57, 1/3, -0.1 in decreasing order. 1/3, -0.1, -57 Put 1/4, -0.01, 2, 45 in ascending order. -0.01, 1/4, 2, 45 Put -3, 3, -4, -12 in descending order. 3, -3, -4, -12 Sort 22, -2/23, 2/7, 3/5. -2/23, 2/7, 3/5, 22 Put 1.06, 1, 0 in increasing order. 0, 1, 1.06 Sort -1, -24, 3/2. -24, -1, 3/2 Put 0.33, 0.1, -1/6 in ascending order. -1/6, 0.1, 0.33 Put -4, 3, 1, -11 in ascending order. -11, -4, 1, 3 Put 0, 0.5, -2, -4 in descending order. 0.5, 0, -2, -4 Sort 0, -23, 4, -5, -4 in decreasing order. 4, 0, -4, -5, -23 Put -9, -1, 1, 0.1 in descending order. 1, 0.1, -1, -9 Sort -4, -9, -0.1, 0.5, -405 in decreasing order. 0.5, -0.1, -4, -9, -405 Put -1654, 0, -1, 3 in ascending order. -1654, -1, 0, 3 Sort 1/3, -1, -375 in descending order. 1/3, -1, -375 Put -0.1, -0.5, 18 in decreasing order. 18, -0.1, -0.5 Put -3, 4/7, 377 in ascending order. -3, 4/7, 377 Sort 5, 0.2, 1077 in decreasing order. 1077, 5, 0.2 Sort -1, 74, -4 in decreasing order. 74, -1, -4 Put 4, 0, -5, -4, 137 in decreasing order. 137, 4, 0, -4, -5 Put -5, 22, 4, -80, -3 in decreasing order. 22, 4, -3, -5, -80 Put -9, -4, -13, -5 in ascending order. -13, -9, -5, -4 Put 3, 6, -10, 1 in descending order. 6, 3, 1, -10 Sort -5, 3, 1, -133. -133, -5, 1, 3 Put 0.5, -3, -0.13, 0.3 in descending order. 0.5, 0.3, -0.13, -3 Sort 3, -2, 5. -2, 3, 5 Sort 7, 8, 2 in decreasing order. 8, 7, 2 Sort -0.9, -2/7, -3, 2/3 in increasing order. -3, -0.9, -2/7, 2/3 Sort 0.4, 0.5, 0.79, 2, -2 in descending order. 2, 0.79, 0.5, 0.4, -2 Put 38, -3, 4 in ascending order. -3, 4, 38 Sort -11, -24, 0, 1, 2 in ascending order. -24, -11, 0, 1, 2 Put -1/27, 4, -10 in descending order. 4, -1/27, -10 Sort -4/15, -5, -0.4, -1/5, 0.2. -5, -0.4, -4/15, -1/5, 0.2 Put -3, 3, 6, 4, -75 in descending order. 6, 4, 3, -3, -75 Sort 5, -460, -14. -460, -14, 5 Sort 2, 48, 0, -3 in decreasing order. 48, 2, 0, -3 Sort 2, 2/23, -0.1, -0.3, 4 in descending order. 4, 2, 2/23, -0.1, -0.3 Sort 2, -2, 13, 21. -2, 2, 13, 21 Put 1, 0.3, -3/4, -21 in decreasing order. 1, 0.3, -3/4, -21 Sort -125, -0.2, 5, 5/3, -0.5 in decreasing order. 5, 5/3, -0.2, -0.5, -125 Sort -8, -1, 2, 4 in decreasing order. 4, 2, -1, -8 Put 0.2, 10/3, -3/4, -4, 14 in descending order. 14, 10/3, 0.2, -3/4, -4 Sort -4, -55, 1/5, -2/19 in increasing order. -55, -4, -2/19, 1/5 Put -17, -2.1, 5/3 in ascending order. -17, -2.1, 5/3 Put 0.5, -2, 18, -1 in increasing order. -2, -1, 0.5, 18 Sort 1/4, 102, -5, -0.2 in decreasing order. 102, 1/4, -0.2, -5 Put 4, -0.03, -3.1, 2 in increasing order. -3.1, -0.03, 2, 4 Put 2, -4, -3, 0, 10 in decreasing order. 10, 2, 0, -3, -4 Sort 39, -1, -11. -11, -1, 39 Put 0.5, -144, -0.5 in decreasing order. 0.5, -0.5, -144 Sort 0, -3, -2, 168, -1. -3, -2, -1, 0, 168 Sort -17, 4, -107 in increasing order. -107, -17, 4 Sort -18, 4, 3 in increasing order. -18, 3, 4 Put 0.2, -2, 1/4, -7 in increasing order. -7, -2, 0.2, 1/4 Sort -2, 0, 2, -6, -1 in descending order. 2, 0, -1, -2, -6 Sort 3/37, 1, 0.4 in increasing order. 3/37, 0.4, 1 Sort 19, 0, 1 in ascending order. 0, 1, 19 Put -0.16, 0.2, -4, -4/7 in decreasing order. 0.2, -0.16, -4/7, -4 Put 15, 2, 0, -11 in decreasing order. 15, 2, 0, -11 Sort 1/3, 0.5, -108, -0.5 in decreasing order. 0.5, 1/3, -0.5, -108 Sort 4, 5, -0.135, -3 in descending order. 5, 4, -0.135, -3 Sort -20/3, -28, 0.3 in descending order. 0.3, -20/3, -28 Put 3, -2/7, -0.5, 2 in descending order. 3, 2, -2/7, -0.5 Put -3, -2, -205 in ascending order. -205, -3, -2 Sort -3, -11/3, -1/6. -11/3, -3, -1/6 Sort 5, 3, -4, -1489 in decreasing order. 5, 3, -4, -1489 Sort 4, 516, -18 in decreasing order. 516, 4, -18 Put -2/63, 0.1, 3/26, -4, 0.09 in increasing order. -4, -2/63, 0.09, 0.1, 3/26 Put 6, 0.4, 2.7, -0.4 in ascending order. -0.4, 0.4, 2.7, 6 Put 3, -40, 0, 5, -3 in descending order. 5, 3, 0, -3, -40 Sort 47, 17, -1. -1, 17, 47 Sort 8, 5, -4, -11. -11, -4, 5, 8 Put 3, -3, 310 in descending order. 310, 3, -3 Sort -0.4, -3, 12, 1/2 in descending order. 12, 1/2, -0.4, -3 Put -2, 5, 2, -5 in descending order. 5, 2, -2, -5 Sort 13, -1/2, 9, 5 in descending order. 13, 9, 5, -1/2 Put -1/5, 4, -3, 1/4, -146 in ascending order. -146, -3, -1/5, 1/4, 4 Sort -0.5, 4, 0.5, 3/4. -0.5, 0.5, 3/4, 4 Put 2, -6, -20/7, -2 in ascending order. -6, -20/7, -2, 2 Put 12/11, -3, 2/3, -11 in descending order. 12/11, 2/3, -3, -11 Sort 2, -17, -69, -1, -3 in ascending order. -69, -17, -3, -1, 2 Sort 5, 34, -2, 3 in increasing order. -2, 3, 5, 34 Put -2/55, -4/27, -5/4 in descending order. -2/55, -4/27, -5/4 Sort 1/10, -2/11, -0.4, 24, 26. -0.4, -2/11, 1/10, 24, 26 Put 5, 1, -5, 17 in ascending order. -5, 1, 5, 17 Sort -0.1, 0.3, 0.5, -125, 0.2 in ascending order. -125, -0.1, 0.2, 0.3, 0.5 Sort -3, 3, 0, -52. -52, -3, 0, 3 Sort -1, 281, -2 in ascending order. -2, -1, 281 Sort 1, -10, -2, -0.2, -2/11. -10, -2, -0.2, -2/11, 1 Sort -8, 19, 5, -11. -11, -8, 5, 19 Sort -306, 3/5, -3, 2 in descending order. 2, 3/5, -3, -306 Put 24, -3, 7 in increasing order. -3, 7, 24 Put -5, 2, 5, 0 in decreasing order. 5, 2, 0, -5 Sort -5, 3/8, 2/3, 6 in increasing order. -5, 3/8, 2/3, 6 Sort -0.075, -0.5, -15 in descending order. -0.075, -0.5, -15 Sort 0, -0.01, -1 in decreasing order. 0, -0.01, -1 Put -2, -3, -4, -13 in decreasing order. -2, -3, -4, -13 Put 34, 2, 1/15 in decreasing order. 34, 2, 1/15 Put 136, 5, -3, -12 in descending order. 136, 5, -3, -12 Put 5, -4, -30 in descending order. 5, -4, -30 Put 0.3, 1/4, 3, -1/3 in ascending order. -1/3, 1/4, 0.3, 3 Sort -9, -20, -6 in decreasing order. -6, -9, -20 Put 2, 148, 5 in descending order. 148, 5, 2 Put 5, -1, 3, -11 in descending order. 5, 3, -1, -11 Put -2, 3, 34 in ascending order. -2, 3, 34 Put 3, -6/11, -0.86 in decreasing order. 3, -6/11, -0.86 Sort 4, -94/3, 3, -0.3 in descending order. 4, 3, -0.3, -94/3 Put 2/17, -3, 0.11, -5 in decreasing order. 2/17, 0.11, -3, -5 Put 2, 30, -78, 1 in descending order. 30, 2, 1, -78 Sort -5, 1/3, -0.2, 1626. -5, -0.2, 1/3, 1626 Sort 4, -2, -1407 in ascending order. -1407, -2, 4 Sort 44, 0, 1, -11, -5 in decreasing order. 44, 1, 0, -5, -11 Sort -3, -14, -2, 0, 4 in descending order. 4, 0, -2, -3, -14 Sort 11, 4, 337 in descending order. 337, 11, 4 Sort 8, -52, 5, -7 in descending order. 8, 5, -7, -52 Put -84, 2, -2, 9 in increasing order. -84, -2, 2, 9 Put 4, 2, 5, -120, -3 in descending order. 5, 4, 2, -3, -120 Sort -1, -0.6, -1/2, 1/7, -2/3 in descending order. 1/7, -1/2, -0.6, -2/3, -1 Put 0, 2, 5, 41 in decreasing order. 41, 5, 2, 0 Sort -1, 6, -2. -2, -1, 6 Sort 3, -3, 0 in decreasing order. 3, 0, -3 Put -1492, 4, -2, 3 in decreasing order. 4, 3, -2, -1492 Sort 1/14, 1, 10 in ascending order. 1/14, 1, 10 Sort 11, -3, -4, 10 in descending order. 11, 10, -3, -4 Sort -1, 32, -4, 0 in descending order. 32, 0, -1, -4 Sort 3, 24, -20. -20, 3, 24 Sort -3, 20/3, -47, -2 in ascending order. -47, -3, -2, 20/3 Sort -1/7, 9, -5, -0.5, 2/11 in decreasing order. 9, 2/11, -1/7, -0.5, -5 Put -1/15, 1/2, -1 in decreasing order. 1/2, -1/15, -1 Put 2, 77, 51 in descending order. 77, 51, 2 Put -7, -36, 1/3 in ascending order. -36, -7, 1/3 Sort -5, 6, 5 in ascending order. -5, 5, 6 Put -3, 0, -1, -88 in descending order. 0, -1, -3, -88 Sort -6, -5, -9 in increasing order. -9, -6, -5 Put -152, 2, 7 in descending order. 7, 2, -152 Put -3, 5, -72.4 in descending order. 5, -3, -72.4 Sort -1020, -3, -4, -10 in decreasing order. -3, -4, -10, -1020 Put 8, 2, 67, -2, -4 in ascending order. -4, -2, 2, 8, 67 Sort 4, -47, 7 in ascending order. -47, 4, 7 Put -2, -5, 3, -259 in decreasing order. 3, -2, -5, -259 Sort -2, -3, 3, 5, 2 in descending order. 5, 3, 2, -2, -3 Put -4, 5, -14 in ascending order. -14, -4, 5 Sort -4, -0.2, -0.81, 4 in increasing order. -4, -0.81, -0.2, 4 Sort -4, 4, -3, 31 in ascending order. -4, -3, 4, 31 Put -1, -7, 5 in increasing order. -7, -1, 5 Put -5, -13, 3, 9, 11 in ascending order. -13, -5, 3, 9, 11 Sort -1, -5, 0, -60. -60, -5, -1, 0 Sort -1, -2, -7, -4 in decreasing order. -1, -2, -4, -7 Sort 222, 1/2, -0.4, -14/11 in increasing order. -14/11, -0.4, 1/2, 222 Sort 24, -1, 0, 2 in ascending order. -1, 0, 2, 24 Sort -0.05, -5, 28 in increasing o
{ "pile_set_name": "DM Mathematics" }
lculate 7 + -9 + (0 + 147 - -1) - (-3383 + 3391). 138 Calculate -32 - (25 + 33 + -68) - -89. 67 What is 1 + 29 - (426 - 394)? -2 Evaluate 46 - 50 - (5 - (5 + -5 + -6)). -15 What is the value of 1 + (67 + -158 - -200)? 110 Evaluate (-96 - 18) + 55 - -92. 33 What is 6 - ((-29 - -36) + -2)? 1 What is -75 - (-1 - ((-1102 - -1111) + -2 + 0 + 1))? -66 What is the value of -2 - 13 - (-8 + 25 - 16)? -16 What is the value of -49 + -4 + 93 + -12? 28 97 + -50 - 71 - (-1 - -3) -26 What is 70 + -133 + -34 + 63? -34 Calculate (2 - 29 - (69 + (-37 - 41))) + 36. 18 What is 17 + -13 + (1 - -5) + 21 + -15? 16 (34 - 1) + -163 + -19 + 12 -137 Calculate -29 + (-31 - (-12 + -35)). -13 What is the value of -10 - (29 + (-52 - -29)) - 65? -81 Evaluate 1 - (281 + -262 + (95 - -1) + -21). -93 What is 2 + (-45 - -34) + -11? -20 Calculate -309 + 263 - (-83 + 9 + -14). 42 (-68 - -44) + (42 - -1) 19 (11 - -11) + (-6 - -10 - -8) 34 Evaluate 30 - (18 + -16 + 62). -34 Calculate 8 + 71 - (8 - ((9 - 5) + 1)). 76 What is the value of 35 - (-1 + -23 + (-671 - -856))? -126 What is the value of 4 + 42 + -9 + (1 - -1) + -4? 35 2370 + -2451 - (-154 - 2) 75 101 - (86 + -83 + -26 - (1 - 4)) 121 Evaluate 16 + -12 - -86 - (-20 + (1 - 6 - -13)). 102 What is the value of 24 + -31 + 37 + -115 + 18? -67 (-3 + 68 - (-24 + 36 - 22)) + 25 100 What is (-79 - (-34 - 82)) + 0 + (3 - 3 - 6)? 31 Calculate ((14 - 2) + (-160 - -161) - 8) + -126. -121 What is (6 - -26) + -12 + (-10 - -10)? 20 0 - (2 + -16) - ((17 - -1) + -52 + -6) 54 (10 - (-32 - -51)) + 41 + -1 31 What is -38 - (24 + 6 + -103 + -13)? 48 What is 33 + -22 + 42 + -1 + (-118 - -61) + 58? 53 Calculate -1 - (5 + -1 - 12) - (33 + 6). -32 Calculate (2 + -15 - ((32 - -28) + -74)) + 9. 10 What is (-514 - -425) + -10 + 77? -22 Evaluate 47 + -4 + (5 + -1 - 30). 17 What is the value of -12 + (-4 + 10 + 2 + -7 - -11)? 0 What is the value of 562 + -644 + -2 + 4? -80 What is 9 + -3 + 13 + 0 + -56 + 8? -29 Evaluate -1513 + 1548 - (42 - 0). -7 What is the value of -83 + 7 + 57 + -52? -71 What is (-2 - (8 + 2)) + (59 - -75 - 74)? 48 What is (82 - (-20 - -9 - -2)) + (-1 - (-2 + -13))? 105 What is (-15 - (-10 + 9)) + 61 + -1 + 8? 54 What is the value of 8 + (21 + -48 + -33 - (2 + -12))? -42 What is the value of 12 + (6 + -39 - -3 - -7) - 50? -61 What is the value of -3 - (-13 + 87 + 11 + -1 - 22)? -65 What is -21 + -17 + 50 + 15 + 22? 49 -29 + 16 + 25 + -11 + 14 + 3 18 75 + (1 - -1 - 1) + 1 - (-467 + 474) 70 Evaluate 35 + -13 + 32 + (-6 - -14) + 8. 70 What is (-2 - 40) + 24 - -26? 8 What is -34 + -18 + -7 + 47 + -17? -29 Calculate 2 + -16 + 22 + (6 - -5). 19 What is 423 + -431 + (0 - 0) + (-7 - -54)? 39 What is (-11 + 1 - (9 + -35 - -41)) + 6? -19 What is -282 + -51 + 365 - (-1 - 43)? 76 Calculate 51 - (-38 - -27 - -46) - 46. -30 What is the value of (31 - 24) + -3 + -2 - (7 + 6 + -16)? 5 Evaluate (98 - (-8 - -117)) + (100 - (3 + -3 + 3)). 86 -90 - (50 - 3 - 254) 117 13 + (147 - 67 - 55) 38 Evaluate (-19 + 8 + -31 - -27) + 34. 19 Calculate -7 + 1 + -2 + (-12 - (-13 - -2) - -2). -7 Calculate -1 + -23 + (-16 - -12) + 1 - (9 - 11). -25 Evaluate -53 + (1 - 12 - (17 - 59)). -22 What is 29 - ((-74 - -87) + 2 + -3 + -1)? 18 Evaluate (48 - 34 - (9 + -27)) + -32. 0 What is the value of (-5 - (10 - 28)) + -19 + -40 + -15? -61 What is the value of (8 - 7) + -9 + 0 + -29 + (16 - 7)? -28 Calculate (-11 - (-20 + (-6 - -30))) + 8. -7 What is 66 - (29 + -19 + -17 - -23)? 50 Evaluate -139 - (-72 - -47) - (-31 + 8). -91 What is 1 + (34 - -2) + -99 + 107 + 4? 49 Evaluate (7 - -60) + (1 - (16 + (-6 - -3))). 55 42 - (36 - (-7 - (-1 + -16))) 16 Evaluate 40 - ((-15 + -11 + 10 + 12 - -14) + 0). 30 (-9 - (20 - 21)) + 3 + -5 + -11 -21 What is the value of 0 - -53 - (-6380 + 6437)? -4 Evaluate -8 + -1 + 0 + -20 + (372 - 341). 2 What is the value of (-12 - -3 - ((-24 - 4) + 16)) + -1 + -37? -35 600 + -628 + 38 + 0 - -118 128 Evaluate 17 - ((-46 - -35) + (0 + 0 - 2)). 30 What is the value of (50 - 50) + 344 + -347? -3 3 - (-11 - -6) - ((2 - -1) + -5 - 52) 62 What is the value of (0 - 38) + -156 + 333 + -19? 120 Evaluate (8 + -6 + 9 - 4) + 14 + -7 + -25. -11 What is the value of 74 + 4 + -23 + 7 + -1? 61 -78 - ((7 - 14 - 15 - -15) + 5) -76 Calculate -2 - (-42 + -10 + 17 + -24). 57 Evaluate 73 + (-112 + -45 - -91). 7 What is -6 + 80 - (291 - 244)? 27 Calculate -2 + (25 - (9 - -7)). 7 What is (-81 - -60) + (-3 - (-1 + 6)) + -3? -32 What is the value of 91 + (-128 - 1) + (-8 - -1)? -45 20 - (-7 - (-15 + 10) - (-105 + 122)) 39 -129 + ((6 - -4) + -22 - (6 + 3 + -5)) -145 1 - (11 + -19 + 26 + 0) -17 (29 + 1 + 64 + -82 - 18) + (-42 - 0) -48 What is the value of -29 + 0 - (-8602 + 8636)? -63 Calculate 22 + -14 + -14 - -16 - 49. -39 Evaluate (1 - 0 - (-85 + 87)) + -53 + (-11 - 1). -66 Evaluate -17 + -17 - -9 - -23 - -58. 56 (-6 - (0 + -2 + 3 + 1)) + (-10448 - -10439) -17 What is the value of 30 + -9 - (15 + (-37 - -16))? 27 What is the value of 10 - (4 + -18 - (0 - 11)) - (22 + 119)? -128 -3123 + 3131 + 76 + (5 - (-1 + 4)) 86 Calculate -41 + (22 - -61 - 24). 18 1 - -1 - (2 - -3 - 0) - (-30 + 32) -5 Calculate 27 + -506 + 506 + (0 - -14). 41 Evaluate (-13 + 2 - -5 - 7) + -11 - 11. -35 Calculate 15 + (55 - (41 - 53)). 82 (251 - 167) + (25 - 22 - (-1 - -1)) 87 Evaluate -167 + -39 + (76 - -22). -108 Evaluate -74 + 81 + -13 + -31. -37 What is the value of -63 + 2 + 21 + -2 + 5 + (-8 - 8)? -53 What is the value of (-1 + -1 - -35) + (1273 - 1282) + -14? 10 -107 - (27 - (98 - 23)) -59 0 + 116 - (2 + -35 + 1433 + -1415) 131 Evaluate -8 - -18 - (11 + (82 - 29)). -54 Calculate (-82 - -33) + 1 + -7 - -17. -38 What is (9 + 3 - 11 - 2) + 1 + (6 - 11)? -5 What is the value of -3 - ((1 - (-20 + (11 - -5))) + 52)? -60 Evaluate (-74 - -437) + -323 + 1 + (1 - (-11 + 1)). 52 What is (-3 - -6 - -47) + (-2 - (1 + -12 + 12))? 47 Evaluate 6 + 111 + (-136 - -62). 43 What is the value of 779 + -732 + (96 - 3)? 140 Calculate 19 + -1 - 23 - (12 - 27). 10 What is 2 + (1 - -2) + -20389 + 20492? 108 1818 + -1704 - (-5 - 29) 148 What is the value of -5 + -24 + -3 - -11 - -16 - (13 - 1)? -17 Evaluate (3 - -31) + (-220 - -170) - -22. 6 What is the value of 77 + 3 + -21 + 37 + -26? 70 Calculate -33 + (6 - -14) + 1 + 69 + 11. 68 What is -2 + 23 + (168 - (152 + 96))? -59 Calculate 18 + 26 + -50 + 15. 9 Evaluate 2 + 48 + -2 + 35107 + -35280. -125 What is 18 + (0 + -11 - 10) + 12 - 49? -40 (-4 - 2) + 2 + 40 + (13 + -4 - 4) 41 What is 325 + -282 - (61 - -1)? -19 What is the value of (47 - 26) + (28 - (-7 - -17))? 39 Evaluate 7 + -6 + 11 + -4 + (6 + 0 - -60). 74 -17 + (6 - -1) + 4 - (-14 + 18) -10 What is the value of 3 - 31 - (3 - ((-68 - -59) + (-3 - -24)))? -19 Evaluate -13 - (-20 - (-18 - -9)) - -10 - 34. -26 Evaluate (1185 + -1187 - (12 - (1 - 0))) + 37. 24 Evaluate -9 + (9 + 2 + -7 - -1) + 34. 30 Calculate -76 + 6 + 93 - -45. 68 Evaluate 57 + (-5 - (17 + -14)) + 15 + -8. 56 -13 + -15 + 24 + -8 + -6 -18 Evaluate 101 + -78 + 57 - (3 + -2 + 3). 76 Calculate 29 + (16 - (30 + 6 - 3)). 12 -20 + -5 + 21 - ((26 - -1) + (7 - 7)) -31 Evaluate (-13 - -6 - 28 - -7) + -34. -62 What is the value of -41 - -10 - (-72 - -1)? 40 (-533 - -532) + (4 - (-4 - -34)) -27 What is the value of 79 - (-12 - (9 - 125))? -25 What is the value of (43 - 12) + -21 - 7 - -73? 76 -67 + (-67 - -140) - ((1 - 0) + (3 - -3)) -1 (0 - (2 + 46)) + (3 + -14 + 19 - 3) -43 What is (19 - 10) + 49 - ((-5 - -8) + 2 - 6)? 59 Calculate -4 + (-3 - (68 - (29 + 5))). -41 Evaluate -19 + -10 + 17 - (15 + -27). 0 What is 29 - (58 - (-66 - -90))? -5 Evaluate -130 + 83 + -76 + 190. 67 What is the value of -11 - ((124 - -1) + -37) - -40? -59 -12 - -15 - ((12 - -4 - 5) + 73) -81 1 + -89 + (-340 - -343) - (5 + -9 - 3) -78 What is -8973 + 8954 - (-53 - (2 - 0))? 36 Evaluate 95 + 54 + 4 + -65. 88 What is -266 + 213 - -146 - (-7 - (0 - 1))? 99 What is the value of -11 + 1 + 14 + (-33 - -23)? -6 What is (1 - 3) + 20 + 143 + -124? 37 What is the value of -1 - 32 - (-173 - -188) - (-16 - -4)? -36 -59 + 0 + -3 + -15 + 20 + 1 -56 What is -84 - (45 - (2 - -94))? -33 Calculate (37 - 38) + (-5 - -2 - -3 - 47). -48 -49 + (-40 + -3 - (51 + -23)) -120 What is the value of (-49 + -27 - -43) + 38 - -50? 55 Calculate (-71 + 65 - -7) + -82. -81 (7 - 0) + (118 - (58 + 23)) 44 ((-1 - 25) + 0 - -1) + (-25
{ "pile_set_name": "DM Mathematics" }
408 Simplify ((sqrt(28)/sqrt(4) + 3)**2 - sqrt(7)) + -4. 12 + 5*sqrt(7) Simplify sqrt(6)/sqrt(3) + 2 + -1 + sqrt(200) + ((sqrt(120)*1)/sqrt(5))/sqrt(12). 1 + 12*sqrt(2) Simplify (sqrt(832) + 2 + -2 + sqrt(832) - sqrt(832))**2. 832 Simplify sqrt(170)/(sqrt(10) + -5*sqrt(160)) + -1. -1 - sqrt(17)/19 Simplify -1 + (sqrt(17) + sqrt(68)*4 - (1 + sqrt(68)/sqrt(4))). -2 + 8*sqrt(17) Simplify (-1 + sqrt(468) + 2)**2. 12*sqrt(13) + 469 Simplify 4 + sqrt(3) + -2*sqrt(3) + 3 + (sqrt(3) - (sqrt(3) + -1)**2). 3 + 2*sqrt(3) Simplify -3*sqrt(500) + 0. -30*sqrt(5) Simplify (sqrt(7) + sqrt(28) + 4 + (sqrt(343) + 3*sqrt(343) - sqrt(343)))**2. 192*sqrt(7) + 4048 Simplify (sqrt(72) - ((sqrt(72)*-3 - sqrt(72)) + sqrt(72)))/sqrt(9). 8*sqrt(2) Simplify -3*-2*(-2 + sqrt(19)). -12 + 6*sqrt(19) Simplify sqrt(45)/((3*sqrt(63))/sqrt(7)). sqrt(5)/3 Simplify ((sqrt(2052)*1 - sqrt(57)) + sqrt(57))/(sqrt(432)*-1 - sqrt(432) - sqrt(432)) + -1. -1 - sqrt(19)/6 Simplify -3*-5*(3 + sqrt(1700) + 0). 45 + 150*sqrt(17) Simplify (sqrt(3) + (sqrt(3) - (0 + sqrt(3) + -2))**2 - (sqrt(24) + sqrt(216))/sqrt(8))*-3. -12 + 9*sqrt(3) Simplify 6*(sqrt(7) + (-2*sqrt(42))/sqrt(6)). -6*sqrt(7) Simplify sqrt(2268)/sqrt(9)*-3*6. -108*sqrt(7) Simplify -1*(sqrt(119)/(sqrt(7)*-1) - (-5 + -2*sqrt(17))). -5 - sqrt(17) Simplify sqrt(38)/((sqrt(12)/sqrt(6) - sqrt(2))*-5 + sqrt(2)) + -5. -5 + sqrt(19) Simplify 2 + 4*sqrt(2) + -5. -3 + 4*sqrt(2) Simplify -4 + (sqrt(228) + -5*(sqrt(228) + sqrt(228)*2 + sqrt(228) - sqrt(228)))/((sqrt(48) + 1*sqrt(48) + sqrt(48))/sqrt(4)). -14*sqrt(19)/3 - 4 Simplify 1 + sqrt(325) - 2*(3 + sqrt(13)). -5 + 3*sqrt(13) Simplify ((2*sqrt(56))/sqrt(4))/(sqrt(20)/(-2*sqrt(10) - sqrt(10))). -6*sqrt(7) Simplify ((sqrt(136) + 1*sqrt(136) + sqrt(136))*-1)/sqrt(8). -3*sqrt(17) Simplify 1 + sqrt(12) + sqrt(3) + 2*sqrt(3) + -1. 5*sqrt(3) Simplify (1*2*sqrt(175) + 3)**2. 60*sqrt(7) + 709 Simplify (5 + (sqrt(1700) + 1 - sqrt(1700)))**2. 36 Simplify 5*(5 + sqrt(7) + -1). 5*sqrt(7) + 20 Simplify (sqrt(2736) + sqrt(2736) + -1)**2 - (sqrt(19) - (sqrt(1900) - (sqrt(1900) + 5)))**2. -58*sqrt(19) + 10901 Simplify sqrt(931)*2*1. 14*sqrt(19) Simplify ((sqrt(91) - ((sqrt(91) - sqrt(91)*-1) + sqrt(91)))*6 + sqrt(91))/(4*sqrt(28)/sqrt(4)). -11*sqrt(13)/4 Simplify 3*sqrt(108) + 2 - (1*sqrt(108)*4)**2. -1726 + 18*sqrt(3) Simplify ((sqrt(77)/sqrt(343))**2 + -5)*3. -702/49 Simplify ((2*sqrt(128))**2 - sqrt(128)) + sqrt(50)*-1. -13*sqrt(2) + 512 Simplify (((2*sqrt(112) - sqrt(112))/sqrt(8))/(sqrt(4)/sqrt(8)) + 4)**2. 16*sqrt(7) + 44 Simplify -4*(sqrt(240)/sqrt(5) - sqrt(48)). 0 Simplify ((3 + sqrt(1539)*-1)*-3*-5)**2. -12150*sqrt(19) + 348300 Simplify (sqrt(5) - ((sqrt(5)*-2)**2 + sqrt(5) + -3 + sqrt(5)))*3. -51 - 3*sqrt(5) Simplify (sqrt(170) + (sqrt(170) - (5*2*sqrt(170) - sqrt(170))))/sqrt(10) + -2. -7*sqrt(17) - 2 Simplify (1 + -3*sqrt(245) + sqrt(245) + sqrt(245))**2. -14*sqrt(5) + 246 Simplify (-4*(sqrt(57)/sqrt(3) + 0))**2. 304 Simplify -6*(sqrt(17)*-2 + 4). -24 + 12*sqrt(17) Simplify sqrt(72) + 1 - (sqrt(2) + sqrt(2) + (sqrt(2) - sqrt(32)) + sqrt(2))**2*-6. 1 + 6*sqrt(2) Simplify (sqrt(30) + sqrt(90)/sqrt(3))/sqrt(6) - (4 + sqrt(20)). -4 Simplify ((0 + sqrt(432) + 0)*-5*-4)**2. 172800 Simplify ((sqrt(605) - 5*sqrt(605))/sqrt(11))/sqrt(11). -4*sqrt(5) Simplify sqrt(63) - ((sqrt(630)*-2 + sqrt(630))/sqrt(10))**2. -63 + 3*sqrt(7) Simplify sqrt(1539) + -1 + 2. 1 + 9*sqrt(19) Simplify (2*(sqrt(55)/(sqrt(22)/sqrt(2)) + sqrt(5))*-2*1)**2. 320 Simplify ((sqrt(60) - sqrt(60)*2)/sqrt(5))/(sqrt(12)/sqrt(2)*2 + sqrt(6)). -sqrt(2)/3 Simplify -5*-2*(0 + sqrt(2))*3. 30*sqrt(2) Simplify 6*(sqrt(1053) + sqrt(1053) + (-3*sqrt(1053))**2 + 2 + sqrt(1053)). 162*sqrt(13) + 56874 Simplify (-1 + sqrt(45) - (sqrt(125)*-1)**2) + ((sqrt(70)/sqrt(2) - sqrt(35))/sqrt(7) - sqrt(15)/(sqrt(3) - sqrt(27)))**2. -499/4 + 3*sqrt(5) Simplify (sqrt(119)/sqrt(7))**2 + -2 + 1. 16 Simplify -2*((sqrt(1300) - sqrt(1300)*1)**2 + sqrt(1300)) + -3*(sqrt(1300) - 2*sqrt(1300)). 10*sqrt(13) Simplify -2 + (sqrt(130)/(-3*sqrt(10)) - (sqrt(130)*-3)/sqrt(10)). -2 + 8*sqrt(13)/3 Simplify -2 + sqrt(19) + 0 - (sqrt(19) + -1)*5. -4*sqrt(19) + 3 Simplify (-1 + sqrt(98))*1*-4. -28*sqrt(2) + 4 Simplify (2*sqrt(5) - sqrt(5))*-5 - sqrt(60)/sqrt(3). -7*sqrt(5) Simplify (sqrt(52)*-2)**2 + -2. 206 Simplify (2*sqrt(396)*2*3*2)**2. 228096 Simplify ((sqrt(162) + -2)*-6 - (sqrt(162) + (sqrt(162) + 0 + sqrt(162))*1 + sqrt(162)))**2. -2160*sqrt(2) + 16344 Simplify (sqrt(396)*4)**2 - sqrt(891)*1. -9*sqrt(11) + 6336 Simplify (-5 + sqrt(99)/sqrt(144))*-1. -sqrt(11)/4 + 5 Simplify (6*((sqrt(136) - (sqrt(136) - -2*sqrt(136))) + sqrt(136) + sqrt(136) + sqrt(136) - sqrt(136)))/sqrt(8). 0 Simplify (sqrt(25) + (sqrt(100)*-3 + sqrt(100))/sqrt(4))/(sqrt(80)*-6). sqrt(5)/24 Simplify 4 + (2*sqrt(3087) - (sqrt(63) + -1*sqrt(63) + -4))**2. 336*sqrt(7) + 12368 Simplify sqrt(1300) - ((-2*sqrt(1300))**2 + -4). -5196 + 10*sqrt(13) Simplify 3*(1 + sqrt(13)) + (-1 + sqrt(1872) - sqrt(1872)). 2 + 3*sqrt(13) Simplify (3*-3*sqrt(1008))**2. 81648 Simplify 2 + (5 + 0 + sqrt(700))**2 + -3. 100*sqrt(7) + 724 Simplify ((sqrt(1216) - (-1 + sqrt(1216) + sqrt(1216)*-2))**2 + sqrt(1216))*-6. -29190 - 240*sqrt(19) Simplify (sqrt(114) - -3*1*sqrt(114))/(sqrt(6) - (sqrt(150)*1 + sqrt(150))). -4*sqrt(19)/9 Simplify (sqrt(270)/(1*sqrt(10)))**2 + sqrt(27). 3*sqrt(3) + 27 Simplify ((sqrt(132) - (sqrt(132) - 1*sqrt(132)))/sqrt(6))/((sqrt(84)/sqrt(6))/sqrt(7) + sqrt(2) + sqrt(2)). sqrt(11)/3 Simplify -1 + sqrt(20) + -1. -2 + 2*sqrt(5) Simplify (sqrt(20) - (0 + sqrt(20)))**2*-5. 0 Simplify (2*sqrt(33)/sqrt(3)*-1)**2. 44 Simplify (sqrt(20)/(sqrt(2) - sqrt(2)*-1) + sqrt(10))/sqrt(2). 3*sqrt(5)/2 Simplify 5*(1 + -2*sqrt(11) + sqrt(11) + (1 + sqrt(11))**2 + -2). 5*sqrt(11) + 55 Simplify -4*(sqrt(847) + -2). -44*sqrt(7) + 8 Simplify 0 + sqrt(114)/(sqrt(1728)/sqrt(8)). sqrt(19)/6 Simplify (sqrt(30)/(sqrt(30)/sqrt(3) - sqrt(10) - sqrt(10)))**2 - (sqrt(3) + 1 + sqrt(3))*-3. 6 + 6*sqrt(3) Simplify (sqrt(2) + 0 + 1 + -5)**2*-2. -36 + 16*sqrt(2) Simplify (sqrt(84)*1)/(-1*sqrt(175)). -2*sqrt(3)/5 Simplify -3 + 2 + sqrt(2) + (sqrt(2) - (0 + (sqrt(4)/sqrt(2))**2)). -3 + 2*sqrt(2) Simplify ((sqrt(704) + 1)*1 + 1*sqrt(704)*3)**2*6. 384*sqrt(11) + 67590 Simplify (-6*4*sqrt(891))**2. 513216 Simplify (-2 + (sqrt(180) + 1 - sqrt(180)))**2. 1 Simplify -1 + sqrt(1584) + (sqrt(176) + 1 + sqrt(176))**2. 28*sqrt(11) + 704 Simplify ((2*sqrt(21)*5 - sqrt(21))/(sqrt(243)*-1))**2. 7 Simplify ((-2 + sqrt(175))*-1)**2. -20*sqrt(7) + 179 Simplify ((sqrt(72) - (-1 + sqrt(72) + -1)) + (sqrt(72) - (sqrt(72) - (sqrt(72) + sqrt(72) + (-1*sqrt(72) + 5 - sqrt(72))))))**2. 49 Simplify 1 + -5 + sqrt(2) + (2*sqrt(288))**2. sqrt(2) + 1148 Simplify 5*(-4 + sqrt(605) + -2*sqrt(605))**2. 440*sqrt(5) + 3105 Simplify sqrt(42)/(sqrt(216)/sqrt(9)). sqrt(7)/2 Simplify ((-1*sqrt(133) + sqrt(133))/sqrt(7) + 5)**2 - (sqrt(19) + (sqrt(19) + sqrt(171) - sqrt(19)) + -5 + sqrt(19) + 0 + 5). -5*sqrt(19) + 25 Simplify ((sqrt(1872) - (sqrt(1872) + 3))*6)**2. 324 Simplify (sqrt(44)/sqrt(4)*-3 - 6*(sqrt(11) + 0))**2*-1. -891 Simplify (2*(sqrt(448)*-2 + -3 + 0))**2. 384*sqrt(7) + 7204 Simplify (0 + (sqrt(76) + 2 + sqrt(76))**2 + sqrt(76))*-1. -308 - 18*sqrt(19) Simplify (sqrt(63) - 1*sqrt(126)/sqrt(2))/(sqrt(27)/sqrt(48)). 0 Simplify -2*sqrt(13)*1*-6. 12*sqrt(13) Simplify -2*(0 + sqrt(242))**2*4. -1936 Simplify 0 + sqrt(425) - sqrt(153)/(sqrt(36) - sqrt(9)). 4*sqrt(17) Simplify 3 + (sqrt(891) + (sqrt(891) + (sqrt(891) - (0 + sqrt(891))) + -1)**2 - (sqrt(891)*2 + -2)). -27*sqrt(11) + 897 Simplify 4 + sqrt(180) + 5. 9 + 6*sqrt(5) Simplify ((1*(-2 + sqrt(5)))**2 - sqrt(5)) + sqrt(25)/sqrt(45) + -4. -14*sqrt(5)/3 + 5 Simplify sqrt(378)/sqrt(6) + -1. -1 + 3*sqrt(7) Simplify -4*(sqrt(91)/(sqrt(14)/(sqrt(32) + sqrt(2) + sqrt(2))) + 4). -24*sqrt(13) - 16 Simplify 2*(((sqrt(114)/sqrt(3))/sqrt(2) - sqrt(19)) + sqrt(38)/sqrt(2)*-3 + 4)**2. -48*sqrt(19) + 374 Simplify -5*(((-1*sqrt(228))/sqrt(12))**2 - -6*-1*sqrt(19)). -95 + 30*sqrt(19) Simplify (-3*(sqrt(200) - (0 + sqrt(200) + 2 - sqrt(200))))**2. -360*sqrt(2) + 1836 Simplify (sqrt(51)/sqrt(3))**2*-5*2*2. -340 Simplify (sqrt(931) + (sqrt(931) + -1 - sqrt(931) - sqrt(931)))*-5 + ((sqrt(76) + sqrt(76)*2)*6)**2. 24629 Simplify (s
{ "pile_set_name": "DM Mathematics" }
)*5 + sqrt(224)))/((2*sqrt(242) - sqrt(242) - sqrt(2))*-6*-2). 22*sqrt(7)/5 Simplify 6*(1 + sqrt(143)/(-4*sqrt(11)*-2) - (-4*sqrt(52)*-1 + -4))**2. -945*sqrt(13)/2 + 159591/32 Simplify (5 + (-2*sqrt(180)*3)**2)*-6 + (2 + 6*2*sqrt(90)/sqrt(2))**2. -32426 + 144*sqrt(5) Simplify 4*(2 + sqrt(3888) + sqrt(3888)*1 + 1 + ((sqrt(3888) + 2*sqrt(3888)*3)**2 - sqrt(3888))). 144*sqrt(3) + 762060 Simplify 4 + -6*-3*3*(sqrt(6)/(sqrt(2)*2) - ((sqrt(3) - sqrt(27)) + 3))**2*-1. -2989/2 + 810*sqrt(3) Simplify -4*(sqrt(153) + (1 + sqrt(153)*1 - sqrt(153)) + sqrt(153)) + -2 + (-3*(sqrt(136) - (sqrt(136) + -3*sqrt(136)) - sqrt(136)))/sqrt(8). -30*sqrt(17) - 6 Simplify -2*-6*(-3 + sqrt(1088) + -1 + -1 + (sqrt(1088) - sqrt(1088)*2)*6)**2. 4800*sqrt(17) + 326700 Simplify 1*sqrt(567)*4 + sqrt(567) + -1 + 1 + (sqrt(567)*2 + sqrt(567))**2*2 + -3. 45*sqrt(7) + 10203 Simplify 6*6*-6*-5*sqrt(204)/(sqrt(12)*-1)*-5*5. 27000*sqrt(17) Simplify -6*((1 + 1*sqrt(684) + sqrt(684) + sqrt(684) - -1*(2 + sqrt(684))) + 1 + 3 + 0). -144*sqrt(19) - 42 Simplify 6*(((sqrt(1900) - (2 + sqrt(1900)))*1*-1)**2 + -4 + ((-4 + sqrt(1900)*2)**2 - sqrt(1900)))*6. -6120*sqrt(19) + 274176 Simplify -3 + (-5*-3*(sqrt(405) + -3) - (sqrt(360)/(6*(sqrt(128) - sqrt(8))) + 4))**2. -39641*sqrt(5)/3 + 3358733/36 Simplify (sqrt(65) + (sqrt(65)*-1 - sqrt(65))*3 + -5*(2*sqrt(65) - sqrt(65)))/((sqrt(385)/(sqrt(11)*2))/sqrt(7)). -20*sqrt(13) Simplify (((sqrt(224) - 4*(sqrt(224) + sqrt(224)*2)) + sqrt(224))*-3)/((2*sqrt(32) - sqrt(8))*-3)*-3. 20*sqrt(7) Simplify ((-4 + sqrt(425) + -1 + sqrt(425) + sqrt(425)*-2 + sqrt(425) + 3)**2 - (-2 + -2*(sqrt(425) + -1 + -2)**2))*-5. -6495 + 400*sqrt(17) Simplify (1*sqrt(7)*2)**2*4 + -1*sqrt(567) + sqrt(567) + 5 + -5 + sqrt(28)/sqrt(4) + 1 + 1*(0 + sqrt(7)) + -1. 2*sqrt(7) + 112 Simplify ((-1*sqrt(1008) - (sqrt(1008) - -4*sqrt(1008)))/((sqrt(72)*-2)/sqrt(8) - 3*sqrt(576)))**2. 1008/169 Simplify ((sqrt(66) - (sqrt(66) + sqrt(66)*2))*5 - -6*(sqrt(66) + (sqrt(66) - sqrt(66)*-1)))/((-3*sqrt(2400))/(sqrt(144)*-3)). 24*sqrt(11)/5 Simplify 2*(-3*5*(sqrt(1216)*-1 + -3)*-1*-6)**2. 777600*sqrt(19) + 19845000 Simplify (2 + -5*(sqrt(363) + -1 - sqrt(363))*3 + -3 + 1)**2 + 0. 225 Simplify -3 + ((sqrt(3)*-5 + 5 - (sqrt(288)/sqrt(8))/sqrt(12))**2 - ((sqrt(432)/sqrt(9))**2 - (sqrt(3)*2 + sqrt(3))*2)). -54*sqrt(3) + 82 Simplify (2 + (1*sqrt(304) + 3 + 6*2*sqrt(304))**2)*-2*-3. 1872*sqrt(19) + 308322 Simplify (-4 + (sqrt(27)*-5 + sqrt(3) - sqrt(432)*1) + 2)**2 - 6*(-5*(sqrt(3)*3)**2 + (sqrt(3) - sqrt(15)/(sqrt(10)/sqrt(2)))). 104*sqrt(3) + 2842 Simplify 1*((-2*(-1*sqrt(152) + sqrt(152)) - (sqrt(152) + (1*sqrt(152)*3 - sqrt(152))))*1)/(((sqrt(64)*1 + sqrt(64))*-1)/(sqrt(56)/sqrt(63))). sqrt(19)/2 Simplify ((2 + sqrt(99) + 0 + 3)**2 + 3 + sqrt(99)*-1 + 3)*2*3. 162*sqrt(11) + 780 Simplify ((4 + sqrt(6)/sqrt(2) + 0 + 0 + sqrt(48))*-3 + (sqrt(108) + 1 - sqrt(108)) + sqrt(18)/sqrt(6) + -1 + -1)**2. 364*sqrt(3) + 757 Simplify (2*1*sqrt(16))/(-3*sqrt(200)) + (sqrt(500) + -1*sqrt(500) - sqrt(500))/((sqrt(100) - -3*sqrt(100) - sqrt(100))/sqrt(10)). -9*sqrt(2)/5 Simplify (4*(5 + (sqrt(833) + -2 + 5 + 3)*5))**2. 39200*sqrt(17) + 352800 Simplify (sqrt(114)*3*2 + sqrt(114) + sqrt(114))/((sqrt(6)*-1 - sqrt(6))*-6) + (-1*(-1 + 2*sqrt(171)*5 + sqrt(171)))**2. -196*sqrt(19)/3 + 20692 Simplify ((sqrt(121)*-2*5 - sqrt(121))*6)/(sqrt(704) + 5*(sqrt(704)*-5 + sqrt(704) + sqrt(704)) - sqrt(704) - sqrt(704)). 33*sqrt(11)/64 Simplify (-3*(sqrt(4356) + sqrt(4356) + -2*sqrt(4356) + sqrt(4356))*3)/((sqrt(108) - sqrt(108)*-2*-1)/(sqrt(1089)*-2 + sqrt(1089))). -1089*sqrt(3) Simplify (-4*(2 + sqrt(500)*1 + -5 + sqrt(500) - (0 + 2*sqrt(500))*-2)*5)**2. -144000*sqrt(5) + 7203600 Simplify 4 + (((sqrt(200) - (-2 + 1*sqrt(200))) + sqrt(200)*-2 + 2)**2 - (sqrt(198) - sqrt(198)*-2 - sqrt(22))/(1*sqrt(11)*4)). -162*sqrt(2) + 820 Simplify (((sqrt(5445)/sqrt(3) + sqrt(15) - sqrt(15))*-6)/(-3*sqrt(18)/((sqrt(6) + sqrt(6)*6 - sqrt(6)) + sqrt(6) + sqrt(6))))**2. 154880 Simplify (sqrt(468) - (-5*3*sqrt(468) + sqrt(468)))/(4*sqrt(225)) - (-6*sqrt(364)*-2)/(sqrt(448)*-1). 9*sqrt(13)/2 Simplify -1 + 3*(sqrt(128) + (sqrt(128)*-2 - sqrt(128))) + -2 + sqrt(96)/(sqrt(60)/sqrt(125))*-1. -58*sqrt(2) - 3 Simplify ((1*sqrt(1404))/(sqrt(27)*-1 - sqrt(3)))**2 + (-1 + (2 + sqrt(13) - sqrt(13)) + -2)**2*-4. 101/4 Simplify (5*-3*sqrt(2940)*2)/(4*(sqrt(432) + (sqrt(432)*2 - sqrt(432)) + sqrt(432)) + -6*(2*sqrt(432) + sqrt(432))). 35*sqrt(5)/6 Simplify -4*(6*sqrt(143)*4 + (sqrt(143) + 3*sqrt(143))*6)/((sqrt(99)*-1*1)/(sqrt(72)/sqrt(2))). 384*sqrt(13) Simplify 2*(sqrt(363)*2*6 + -3) + 5 + (sqrt(363) - ((1 + sqrt(363))**2 + 2) - 6*(sqrt(363) + 1)). -373 + 187*sqrt(3) Simplify 0 + (6*(sqrt(88) - (sqrt(88) + -3*sqrt(88)))*-4)/((sqrt(648) + sqrt(648)*2)*-4) + 2. 2 + 2*sqrt(11)/3 Simplify (sqrt(245) + sqrt(245)*1 + -5 - sqrt(245) - (sqrt(245) + 1*2*sqrt(245) + sqrt(245)))**2*1 - (-5*(2 + sqrt(245) + -3) + 0). 245*sqrt(5) + 2225 Simplify ((sqrt(720)*-2 - sqrt(720))*3)**2 + 4 + -4 + -5 + -2*sqrt(720)*6 + -4. -144*sqrt(5) + 58311 Simplify (0 + 2 + -1 + -1*(0 + -1*sqrt(2736) + -2 + sqrt(2736) + 1) + -1 + 5)**2. 36 Simplify -3 + (-6*sqrt(104)*1*4)/(((sqrt(56) + sqrt(168)/sqrt(3))*2)/sqrt(7))*-5. -3 + 30*sqrt(13) Simplify (-5*(-4 + sqrt(720) + 0 - sqrt(720) - sqrt(720) - ((sqrt(720) - (sqrt(720) + 1)) + 5) - (-5 + 1*sqrt(720))*-4))**2. -50400*sqrt(5) + 181600 Simplify -6*((sqrt(66)*-3 + sqrt(66))/sqrt(6) - (sqrt(66)/sqrt(6) + -3) - (2*sqrt(1980) - sqrt(55))/(sqrt(20)*1)). -18 + 51*sqrt(11) Simplify 5 + (-2*3*(2 + (1 + sqrt(162) + 4 - sqrt(162)) + -2))**2. 905 Simplify (2*(-6*sqrt(190)*-2 + 1*(2*sqrt(190) + sqrt(190))))/(((sqrt(720) + sqrt(720)*-1 - sqrt(720) - sqrt(720))/sqrt(12))/(sqrt(12)/(sqrt(10)/sqrt(5)))). -15*sqrt(19) Simplify 6*((sqrt(96)/((sqrt(968) - (1*sqrt(968) + sqrt(968))) + sqrt(8)))/(sqrt(24)/(sqrt(1050)/sqrt(7))))**2 + 4. 17/2 Simplify (4*((4 + sqrt(68) + 1 + sqrt(68) - (sqrt(68) - (sqrt(68) + -4 + sqrt(68) + 2)))*-4 + 3))**2. 6912*sqrt(17) + 157968 Simplify (3*(-1 + sqrt(17) + -3 + -3*sqrt(17) + -1 + 3*(sqrt(833) - sqrt(833)*1 - (sqrt(272) + 0 - sqrt(17)))))**2. 990*sqrt(17) + 18738 Simplify (((sqrt(324) + -3*(sqrt(324)*5 + sqrt(324)) + sqrt(324) + sqrt(324))/sqrt(9))/(sqrt(432)/(sqrt(81)/sqrt(9)))*-4)**2. 2700 Simplify (2 + sqrt(7) + sqrt(7))*-6 + sqrt(567) + 2 + sqrt(847) + sqrt(847)*-1 + 3 + sqrt(847) + -5 + sqrt(847)*1. -12 + 19*sqrt(7) Simplify (3*-6*(sqrt(187) + (sqrt(187) + -2*sqrt(187))*4))/((-2*sqrt(77)*-3)/(-4*sqrt(35)/sqrt(5))). -36*sqrt(17) Simplify 1 + ((sqrt(35)/sqrt(5) - sqrt(7)) + 2)**2 + -4 - ((sqrt(21)/sqrt(3)*4 - sqrt(7)) + sqrt(21)/sqrt(48) + 0). -13*sqrt(7)/4 + 1 Simplify sqrt(216)/sqrt(3) + sqrt(2)*-4 + -2 - (-4*(2 + (sqrt(2) + sqrt(6)/sqrt(3) - sqrt(2)) - sqrt(2)) + 5). 1 + 2*sqrt(2) Simplify 4 + 4*(-5*sqrt(80)/(sqrt(5) - (sqrt(5)*-1 + sqrt(5))))/(sqrt(72)/(-2*sqrt(144))). 4 + 160*sqrt(2) Simplify (3*(sqrt(100) + sqrt(100)*-1*4 + sqrt(100) - sqrt(100) - (-6*(sqrt(100) - 2*sqrt(100)) + sqrt(100))))/(-4*1*-3*(sqrt(5) + 1*sqrt(5))). -5*sqrt(5)/2 Simplify ((sqrt(242) - (-4*sqrt(242) + sqrt(242))*6 - sqrt(242)) + 1 + (sqrt(242) + -5 - sqrt(242)) - (1 + -3 + -1*(1 + sqrt(242))))**2. -418*sqrt(2) + 87363 Simplify 4*(1 + (3 + 1*(sqrt(320)*2*-3 + (1 + sqrt(320))*-5))**2). 1408*sqrt(5) + 154900 Simplify (-4*(((sqrt(405) - ((sqrt(405) - -4*(1 + sqrt(405))) + sqrt(405))) + sqrt(405))*-6 - 4*(sqrt(405)*2 + 3)) + 4)**2. 50688*sqrt(5) + 1660816 Simplify (sqrt(4) + (sqrt(20) - sqrt(40)/sqrt(2))/sqrt(5) - (sqrt(400)*-2 - sqrt(400)))/(-1*sqrt(128)*-2*-3). -31*sqrt(2)/48 Simplify (4*-5*sqrt(325)*1)**2 - (2*sqrt(91)*-2)/(1*sqrt(28)). 2*sqrt(13) + 130000 Simplify (-1 + ((sqrt(720)*2*2)**2 + 2 + -4)*-5*6)*1. -345541 Simplify (-6*(((-1*sqrt(108) + sqrt(108))*2 - sqrt(108) - 2*(sqrt(108) + 2)) + 2 + 0) + 0)**2. 2592*sqrt(3) + 35136 Simplify (sqrt(2736) + -2 + 3 + sqrt(2736) + 3)**2 + 2 + 1 + 1 + 2. 192*sqrt(19) + 10966 Simplify (sqrt(85) - 4*sqrt(85)*-1 - (sqrt(85) + 2*sqrt(85))*3)/(sqrt(405) - (sqrt(405) - sqrt(405)*5)*1 - sqrt(405))*4. -4*sqrt(17)/9 Simplify (4 + (2 + sqrt(1452))*1)**2*3 + 0. 792*sqrt(3) + 4464 Simplify (-2 + (sqrt(112) - -3*(sqrt(112) + 1))*-5 + (sqrt(84)*-2*-2)/sqrt(3) + -3)**2. 2880*sqrt(7) + 36688 Simplify -1 + (sqrt(3) - (
{ "pile_set_name": "DM Mathematics" }
ess 0*y + y - 6*y - 3*y as m*y + d and give m. -8 Express -u + 5*u**2 - 3*u**3 - 2 + 2*u**3 + 14*u**4 - 13*u**4 in the form s + q*u + h*u**2 + l*u**3 + n*u**4 and give h. 5 Rearrange (-5*y + y + 2*y)*(2*y + 3*y**3 - 2*y) + 3*y - 3*y - 7*y**4 to the form j + g*y + o*y**4 + s*y**2 + x*y**3 and give o. -13 Rearrange (-3 - 4 + 5)*(-2*h + h - 3*h)*(h**3 - 2*h**3 + 7*h**3) - 2*h**4 + h**2 - h**2 to the form w*h**3 + s*h**2 + b*h + g + f*h**4 and give f. 46 Rearrange -z**3 + 28 - 59 - 2*z**2 + 4*z**4 + 33 - 2*z to j*z + g*z**3 + m + r*z**4 + c*z**2 and give g. -1 Express -3*n**3 - 14*n + 14*n + n**2 in the form f*n + l*n**3 + g*n**2 + o and give g. 1 Express (-t + 1 - 2*t**2 + 0*t - 2)*(0*t + 58*t + 8*t) in the form l*t**2 + s + z*t + d*t**3 and give z. -66 Express -l**3 + 22*l + 2*l**2 - 22*l + l**3 + 0 + 0 + (-3*l**2 + 3*l**2 - 2*l**3)*(1 + 0 - 2) as q*l + c*l**3 + f + u*l**2 and give c. 2 Express 9*g - g - 3*g - g in the form d*g + v and give d. 4 Express 2*a - 17*a**3 - 8*a**3 - 5 - 2*a**2 - 11*a**3 + 32*a**3 in the form u + l*a**2 + i*a + w*a**3 and give u. -5 Rearrange (-3 - 1 + 0)*((y - 2*y - y)*(-2 + 2 - 2) - 3*y + 6*y - y)*(-y**2 + 3*y**2 - 4*y**2) to the form x*y + n*y**3 + i + l*y**2 and give n. 48 Express 3*l**4 + 8 + 22*l**3 + l**2 - 21*l**3 - 6 as a*l**3 + x*l**2 + g + y*l**4 + s*l and give x. 1 Express 2*l**3 + 12 - 12 - 5*l**3 - l**2 as r*l**2 + y*l**3 + z + k*l and give r. -1 Rearrange -2*i**2 + i**2 + 2 + 6 - 9 to the form j*i + r*i**2 + k and give r. -1 Express (-6 + 2 + 3)*(-1 + 2*h + 1 + h - 3*h + 4*h + (-h + 2*h - 2*h)*(-2 + 0 + 1) - 2*h - h + 5*h + 2 - 2 + 3*h) in the form x + n*h and give n. -10 Rearrange 4 + 8 + 24*n + 3 - 14 to the form g + b*n and give g. 1 Rearrange (-4*f**3 + 5*f**3 + 0*f**3)*(-2*f - 3*f + 3*f) + 16*f**4 - 11*f**4 + 18*f**4 to q*f**4 + a + b*f**3 + d*f**2 + n*f and give q. 21 Express (2*o**2 + 2 - o + o)*(9*o - 46*o**2 - 9*o) in the form c*o + p*o**4 + w*o**3 + v*o**2 + l and give l. 0 Rearrange (-13*g - 27*g + 84*g)*(2 + 3*g + 0*g - g) to r*g**2 + x + c*g and give x. 0 Rearrange -6*a - 4*a**2 + 6*a + (-6*a**2 + 5*a**2 + 3*a**2)*(-5 + 4 - 1) - 2*a**2 - a + a - 4*a**2 + 6*a**2 + 0*a**2 to the form p + o*a + f*a**2 and give f. -8 Express 3*b**3 - 2*b + 2*b**3 - 11*b**3 in the form r*b**2 + d*b + m + k*b**3 and give d. -2 Express (-3*l + 1 - 1 + (-l - 1 + 1)*(-1 + 0 - 1))*((-1 + 0 - 1)*(0 + 2 - 4) + 1 - 5 + 2)*(0 + 1 + 8) in the form z*l + n and give z. -18 Express (-59 + 59 + 8*h)*(-5*h**3 + h**2 + 3*h**3 + h**3) as l + w*h**3 + i*h + k*h**4 + j*h**2 and give i. 0 Rearrange -6*b - 645*b**3 + 645*b**3 - 2 - b**2 - b**4 + 1 to f*b + s + d*b**3 + x*b**2 + i*b**4 and give x. -1 Rearrange -589*p + 589*p - 2*p**2 + (-p - p + 3*p)*(-8 + 8 + 4*p) to x + f*p**2 + a*p and give f. 2 Rearrange ((g + 2*g + 2*g)*(5 - 2 - 5) + 2*g - 2 + 2)*(-5*g - 8*g + 11*g) to the form m*g + i + w*g**2 and give w. 16 Rearrange -c**2 + 14*c**2 - 2*c**2 + c**2 to the form x + r*c + f*c**2 and give f. 12 Rearrange 76 + m**2 - 3*m**2 - 74 to the form k*m + c + b*m**2 and give c. 2 Rearrange (-724*n**2 + 726*n**2 - n + n)*(n + 3 - 3) to a + o*n**2 + u*n + m*n**3 and give o. 0 Express 3*l**3 + 15 + 11890*l**2 + l - 11890*l**2 as n*l**2 + g*l + x*l**3 + a and give x. 3 Express -279*r**2 + 0*r + 139*r**2 - r + 4 + 138*r**2 as c*r**2 + z*r + g and give c. -2 Express -99*k - 7 + 102*k - 3 + 4*k + 0*k - 5*k - 5 + 5 + 2*k - k + 0 + 0 + (1 - 3 + 4)*(0*k + k + 0*k) in the form m*k + n and give m. 5 Express -4*q + q + 5*q - 35 + 12 in the form f + p*q and give p. 2 Express n**2 - 28 + 18 + 0*n + 0*n as l*n + m*n**2 + d and give d. -10 Rearrange -11*h - h**2 + 5*h - 3*h + 4*h to the form g*h + l + p*h**2 and give p. -1 Express -6 - 30*y + 6 as x + a*y and give a. -30 Express (8 - 4*f + 5 - 14)*(-3 - 3*f + 2*f + 2*f) as o + r*f + j*f**2 and give j. -4 Express 11*a - 11*a + 15*a in the form k*a + y and give k. 15 Rearrange (-3 - 3 + 3)*(-7 - 1 + 5)*(-32 + 2*n + 32) to the form h*n + z and give h. 18 Rearrange 6 + n**2 - n**2 - 3*n**2 to the form o*n**2 + m*n + s and give o. -3 Rearrange -o + 3*o + 0*o + (-1 + 1 - 2)*(1 + o - 1) - 2*o + 3*o + 2*o + (o - o + 2*o)*(2 + 2 - 2) to d*o + i and give d. 7 Rearrange (-1 - 2 + 4)*(-4*l - 4*l + 3*l + (-3 + 2*l + 3)*(1 + 2 - 2)) to c + m*l and give m. -3 Rearrange 360 + 2*c**3 - c - 360 - c**3 to the form h*c**2 + v*c + q*c**3 + a and give v. -1 Rearrange (-5*z + z + 5*z)*(2 - 3 + 2)*(-1 + 2*z + 1)*(10 + 2 + 11) to the form v*z**2 + d*z + n and give v. 46 Express 17*a - 14*a + 9*a as y + l*a and give l. 12 Rearrange 10*g + 4*g - 4*g to l*g + m and give l. 10 Express 18 - k - 2*k**3 + 473*k**2 - 473*k**2 as z*k**2 + b*k**3 + o*k + y and give o. -1 Rearrange 6 + 0 + 15*j - 2*j - 5 to the form h*j + b and give h. 13 Express (n - 2*n - 10 + 0)*(4 - 7 + 0)*(-2*n - n + 2*n) in the form k + l*n + t*n**2 and give k. 0 Express (5*l + 92 + 2*l**3 - 92)*(5*l - 5*l - l) as r*l**4 + u*l + k + g*l**2 + j*l**3 and give r. -2 Rearrange ((-1 + b + 1)*(4 - 1 - 2) + 4*b + 0*b + 2*b)*(-3 + 2 - 4) - 5*b + b + 3*b to the form l + c*b and give c. -36 Rearrange -2*w**2 - 11*w**2 + 5*w**2 + 0*w**2 to l*w + a*w**2 + z and give a. -8 Express 2*z - 4*z + 0*z - 27 as d + x*z and give d. -27 Rearrange (2 + 4 - 5)*(3*t + 15*t - 3*t) - 3*t - 3*t + 4*t to the form g*t + q and give g. 13 Rearrange (-j + 0*j + 2*j + (2 - 1 + 0)*(-2*j + 5*j - 5*j))*(j + 0*j**2 - j**2 - 3*j**2) to k*j**2 + n + u*j**3 + a*j and give k. -1 Express (1 + 5 - 3)*(4 - 4 - 2)*(6*m**3 - 3*m**4 - 6*m**3) in the form u*m**3 + l*m + d*m**2 + r*m**4 + x and give l. 0 Rearrange -d**2 + 470*d - 32*d**2 - 470*d to the form m*d + s*d**2 + z and give s. -33 Express -5 - 1 - 4*f + 0 + 14 as j*f + k and give j. -4 Express 2*k**3 + 1 - k**2 + 2*k**3 - 11 - 2*k**3 in the form f*k + j + r*k**2 + t*k**3 and give t. 2 Express 124 - 253 + 42*t + 129 in the form p + w*t and give w. 42 Express 6*u**2 - 3*u - 14 - u**4 + u + 3*u - 5*u**2 as v*u**3 + j*u**2 + p*u + g + x*u**4 and give x. -1 Express -2 + 0*j**2 - j**2 - 2 + 3*j**2 in the form a + v*j**2 + w*j and give w. 0 Rearrange 101*q - 3*q**2 - 104*q + q**4 + 2*q**2 to u + h*q + l*q**2 + p*q**4 + n*q**3 and give l. -1 Express (0*o + o + 0*o)*(3 - 1 + 0) - 2 + 2 - o + (-6 + 2 + 2)*(-1 + 2*o + 1) in the form k*o + j and give k. -3 Express (2 + 1 + 0)*(-11*b**2 - 4*b**2 + 6*b**2)*(-3 + 8 + 0) in the form d + n*b + c*b**2 and give c. -135 Express 3*z + z + z + 8*z as b*z + y and give b. 13 Express (-11 + 0 + 0)*(0 + 0 + 2*i**2) in the form a*i**2 + m*i + o and give a. -22 Express (q**3 + 4*q**3 - 3*q**3)*(27 - 1 + 2)*(-1 + 1 - q) + 4*q**4 + q**4 - 2*q**4 as r + b*q**3 + m*q**4 + n*q + p*q**2 and give m. -53 Express 2*i + 9*i - 3 + 3 in the form q*i + o and give q. 11 Express -23*n**2 + 124*n**2 - 24*n**2 + 2 as x*n + l + d*n**2 and give l. 2 Rearrange (-2 + 0 + 0)*(1472*o + 2*o**3 - 1472*o + 5 - 16*o**2) to d*o + m + k*o**3 + b*o**2 and give b. 32 Rearrange (0 + 4 - 2)*(-5 + 5 - 9*t**2) to b*t + p*t**2 + s and give p. -18 Rearrange (-x**2 + x**2 + 2*x**2)*(-7*x**2 + 0*x**2 + 4*x**2 - 2 + (0 + 2*x + 0)*(x + 5*x - 7*x)) to the form m*x**4 + q + y*x**3 + a*x**2 + c*x and give m. -10 Rearrange (3 - 7 + 3)*(0 + 11*f**3 + 2 - 7*f**3) to w*f**3 + z*f**2 + q*f + x and give x. -2 Express (8 - 3 + 0)*(0*c - 3*c**4 - 3*c**4 - 2*c) in the form y*c**4 + r + z*c**3 + l*c + o*c**2 and give l. -10 Express -2 - 3*a + 34*a + 2 as c + k*a and give k. 31 Rearrange (-2*b + 0*b + 3*b)*(b + 0*b - 3*b) + 2*b - 2*b - b**2 - 4*b + 66*b - 37*b - 3*b**2 to h*b**2 + v*b + o and give v. 25 Express (-1 + 1 - 6*m)*(-37*m**3 + 12*m**3 - 11*m**3) as t*m**3 + s*m**4 + z*m + p*m**2 + k and give s. 216 Rearrange (o**2 - 1 + 1)*(0*o + 0*o - o) + 0*o**3 - 3*o**3 + 5*o**3 + 8*o**3 + o**3 - 3*o**3 to f*o**2 + l + y*o + p*o**3 and give p. 7 Rearrange (2 + 5 - 3)*(-39 + 39 + 2*a) to the form f + r*a and give r. 8 Rearrange 3 + 9*z**2 - 40*z**2 - 6 to the form o*z**2 + w*z + c and give o. -31 Rearrange -1 + 2*y**2 - y**3 + 4*y**3 - 4*y**3 to the form z + m*y**3 + t*y**2 + x*y and give t. 2 Rearrange 2*k**2 - 6*k**3 - k**2 + k**2 to c + t*k + b*k**2 + o*k**3 and give o. -6 Rearrange 0*a**3 - 3*a + 2*a**3 - 2*a**2 + 2*a**2 to x*a**3 + q*a + t + c*a**2 and give x. 2 Rearrange n + 4 + 3*n
{ "pile_set_name": "DM Mathematics" }
3 - 2*f*x - 89*f - 5165*x**2 + 3*x wrt x. 261348306*f Find the first derivative of 431*q**3 - 140*q**2 - 32*q - 120513901 wrt q. 1293*q**2 - 280*q - 32 Differentiate 34951681*d - 55043066. 34951681 Find the third derivative of 3417663*f**4 + 102294*f**2 - 12 wrt f. 82023912*f Differentiate 990846910*j**2 + 1101836473 wrt j. 1981693820*j What is the third derivative of 118038328*t**4 - 28*t**2 + t - 16027? 2832919872*t Differentiate 60088075*i - 99058829 wrt i. 60088075 Find the third derivative of 135551*s**4 - 249*s**3 - 61195*s**2 + 107*s - 3. 3253224*s - 1494 What is the third derivative of 2*v**5 + 19724*v**4 + 178*v**3 - 14954*v**2 + 1879*v? 120*v**2 + 473376*v + 1068 Find the third derivative of -6*n**5 - 1027628*n**4 - n**3 + 63409106*n**2. -360*n**2 - 24663072*n - 6 Differentiate 24*f**2*r - 477994314*f**2 - 736305*r wrt r. 24*f**2 - 736305 Find the second derivative of 186*p**3*y - 3*p**3 - 5039*p**2*y - p*y + 131652701*p wrt p. 1116*p*y - 18*p - 10078*y What is the first derivative of 610*q**2*z**2 - 1962*q**2*z + 4914334*z**2 wrt q? 1220*q*z**2 - 3924*q*z What is the third derivative of -12*a**4 - 9624566*a**3 + 40497072*a**2? -288*a - 57747396 What is the third derivative of 197*n*x**3 + 265018*n*x**2 + 57*n - 1186*x**3 wrt x? 1182*n - 7116 Find the first derivative of 5*i**4 - 2201065*i**3 - 2*i**2 - 13229254. 20*i**3 - 6603195*i**2 - 4*i What is the second derivative of -7406720*x**3 + 3*x + 480609? -44440320*x What is the third derivative of i**3*u**2*z + 45*i**3*u**2 + 5232*i**3*z + 8164*i**2*u**2 + i**2 + 247*i*u*z - u**2*z wrt i? 6*u**2*z + 270*u**2 + 31392*z Find the third derivative of -7782727*a**5 + 6*a**2 + 3437*a + 8. -466963620*a**2 Find the third derivative of 3*r**5 - 67*r**4 + 3338*r**3 - 14825*r**2 - 2469*r. 180*r**2 - 1608*r + 20028 Differentiate -26279*v**3 - 1020*v**2 + v - 299315737 with respect to v. -78837*v**2 - 2040*v + 1 What is the third derivative of -9*k**4*o**2 + 16889838*k**3*o**3 - k**2*o**2 - 856708*k**2 - k*o**3 - 9*k*o - o**3 wrt k? -216*k*o**2 + 101339028*o**3 What is the third derivative of -11005288*s**2*v**3 + 55*s**2*v - 1254*s*v**2 + v**3 - v**2 wrt v? -66031728*s**2 + 6 Find the second derivative of -16344*z**3 - 3*z**2 - 6364935*z wrt z. -98064*z - 6 What is the first derivative of -811340*a*h**2 - 409*a*h*u + 435*h**2*u - 6*h**2 - h*u + 452*u - 1 wrt a? -811340*h**2 - 409*h*u Find the third derivative of -247216951*r**3 + 8047*r**2 + 2115 wrt r. -1483301706 Find the first derivative of -1222253947*i - 733880666 wrt i. -1222253947 Find the second derivative of -n**5*y - 18378718*n**3*y - n*y - 22*n - 15514*y - 5 wrt n. -20*n**3*y - 110272308*n*y Find the third derivative of -196*c**4 - 24778*c**3 + 13164012*c**2 wrt c. -4704*c - 148668 Find the second derivative of 3*n**3 + 991494*n**2 + 8000146*n wrt n. 18*n + 1982988 What is the first derivative of 84125587*b*j - 2*j - 4051488 wrt b? 84125587*j What is the first derivative of -c**2*l + 19709*c*l - 91*c + 8462*l + 110 wrt c? -2*c*l + 19709*l - 91 Differentiate 25447932*n**3*o*q + 21404*n**3*q**3 - n**3*q**2 + n**3*q - n**2*q - n*q - 122*n - o*q**3 wrt o. 25447932*n**3*q - q**3 Find the third derivative of -636463386*r**3 - 67012955*r**2 wrt r. -3818780316 Differentiate -2*r**2 - 2420362*r - 5767756. -4*r - 2420362 Find the third derivative of 11245*r**5 + 633*r**3 + 6480*r**2 - 2*r - 248 wrt r. 674700*r**2 + 3798 Find the second derivative of -26355295*i**4 - 180173*i - 25. -316263540*i**2 What is the third derivative of -78*w**5 + 256596*w**4 - 52902712*w**2 wrt w? -4680*w**2 + 6158304*w What is the derivative of -10946569*g**4 - 9398167 wrt g? -43786276*g**3 What is the derivative of -4134897*r**3 + 8133797 wrt r? -12404691*r**2 What is the third derivative of -82*d**5 + 11145*d**3 + 281*d**2 - 2190*d - 3? -4920*d**2 + 66870 Find the first derivative of -11*i**3 - 14*i**2 + 13340*i - 35636424. -33*i**2 - 28*i + 13340 Find the third derivative of 28461213*c*z**5 - 8*c*z**2 - 37*c*z + 1259*c wrt z. 1707672780*c*z**2 What is the first derivative of 9*j**3 + 5954*j**2 + 16*j - 134941381? 27*j**2 + 11908*j + 16 Find the third derivative of 283398*r**3*s**2 + 42510*r**2 - 373*r*s**2 wrt r. 1700388*s**2 Find the second derivative of -135820600*n**5 + 2*n**3 - 44616601*n wrt n. -2716412000*n**3 + 12*n What is the second derivative of -149176857*n*v**2 + 1166*n*v - 34*n + 129*v wrt v? -298353714*n What is the derivative of -6059452*a**2 + 3148459? -12118904*a What is the first derivative of -80*i**4 + 155*i**2 - 219*i - 188948146 wrt i? -320*i**3 + 310*i - 219 What is the first derivative of 35740596*z**2 + 8276835 wrt z? 71481192*z What is the second derivative of -2*k**2*x**2 - 609*k**2*x - 249*k*x**2 + 3*k - 96059*x**2 + 32024*x wrt x? -4*k**2 - 498*k - 192118 Find the second derivative of -2626927*c**3 - 29730735*c wrt c. -15761562*c What is the second derivative of -417297*n*o**3 - 387*n*o - 2*o**5 + 15*o**3 + 329*o wrt o? -2503782*n*o - 40*o**3 + 90*o Find the second derivative of -1157*m**4 + 4*m**3 + 3709*m**2 - 308829302*m wrt m. -13884*m**2 + 24*m + 7418 What is the third derivative of 15657*q**3*x**2*y + 268*q**3*y**2 + 23*q**2*x*y**2 + q*y**2 - 185906*x**2 wrt q? 93942*x**2*y + 1608*y**2 What is the third derivative of 11306923*m**2*v**5 - 590439415*m**2*v**2 + 5*v**5 wrt v? 678415380*m**2*v**2 + 300*v**2 What is the first derivative of 2*u**3 - 9*u**2 - 3021891*u - 175048478 wrt u? 6*u**2 - 18*u - 3021891 What is the second derivative of -10778853*t**2*w + 288772*t*w - t - 9*w wrt t? -21557706*w What is the second derivative of -3*l**4 + 814*l**3 + 3214*l**2 - 62733965*l wrt l? -36*l**2 + 4884*l + 6428 Find the first derivative of -6780318*y**2 - 3063905 wrt y. -13560636*y Find the third derivative of 68*a**4*q + 941076*a**3*q - 129*a**2*q + 27*a**2 - 776*a*q - 1 wrt a. 1632*a*q + 5646456*q Differentiate 109*m*r + 1099054*m + 29246*r wrt r. 109*m + 29246 What is the derivative of 4576942*t**3 + 6479314? 13730826*t**2 What is the third derivative of 9608*h**6 + 5*h**5 - 50*h**3 - 21356*h**2 + 41*h wrt h? 1152960*h**3 + 300*h**2 - 300 Find the second derivative of 641*a**2*s**3 + a**2*s - 5853*a**2 - 56380480*a*s**3 + a wrt a. 1282*s**3 + 2*s - 11706 What is the third derivative of 5823*o**2*x**3 + 6*o**2*x - 9*o + 453*x**3 + 31*x**2 - 3394 wrt x? 34938*o**2 + 2718 What is the derivative of 822*a**3 + 457*a**2 + 3*a + 17226709? 2466*a**2 + 914*a + 3 Find the third derivative of 43055056*n**5 - 3*n**2 + 527134*n + 13 wrt n. 2583303360*n**2 Differentiate 2051*m**4 - 14806*m - 3412545 with respect to m. 8204*m**3 - 14806 Find the second derivative of -10990017*j**2 - 3*j - 259889. -21980034 Find the third derivative of q**3*r + 14873855*q**3 - 1305269*q**2*r + 3*q**2 + 2*q*r + 2*q + 2*r wrt q. 6*r + 89243130 Find the third derivative of -6*n**3*o + 1505607*n**3 - 7*n**2*o - 44*n**2 - n*o - 83*n + 2*o + 8 wrt n. -36*o + 9033642 Find the second derivative of 45227*m**5 + 3*m**3 - 560*m**2 + 31874899*m + 4. 904540*m**3 + 18*m - 1120 Find the second derivative of 1030894669*j**2 - 2966*j + 399 wrt j. 2061789338 What is the derivative of 2*m**4 - 2054267*m**3 - 6*m + 14588921 wrt m? 8*m**3 - 6162801*m**2 - 6 Find the third derivative of -446*g**3*n*p**3 - 2*g**3*n*p - 5*g**2*n + 314822*g*n**2*p**3 + 1602*n**2*p + 9616*n*p**2 + p wrt p. -2676*g**3*n + 1888932*g*n**2 What is the derivative of 17336585*f**2*r - 14*f**2 - 17*f*r - 6*f - 559670 wrt r? 17336585*f**2 - 17*f What is the third derivative of -797*l**5 + 78*l**4 - 13*l**3 + 2*l**2 - 2885540 wrt l? -47820*l**2 + 1872*l - 78 What is the third derivative of -577*c**3*u*z - 16256*c**3*u - c**2*u*z + 1506*c**2 + 2*c - 3*u*z - 7*u + z wrt c? -3462*u*z - 97536*u Differentiate 118341*q**4 + 58*q**2 - 55942445 with respect to q. 473364*q**3 + 116*q What is the first derivative of 1140*a**4 - 2*a**3 + 50*a**2 + 3684040? 4560*a**3 - 6*a**2 + 100*a Find the second derivative of a**3 + 24572544*a**2 + 34274774*a. 6*a + 49145088 Find the third derivative of 161*g**4 - 4*g**3*t**3 + 1173*g**3*t**2 - 10672*g**2*t - 49*g*t**3 - 3*g wrt g. 3864*g - 24*t**3 + 7038*t**2 Find the third derivative of 854267*j**3*v**3 - 77*j**3*v**2 - 908*v**2 wrt v. 5125602*j**3 What is the third derivative of -32209785
{ "pile_set_name": "DM Mathematics" }
ller than u? True Suppose -z + 7 = -0*z. Suppose -5*d = q - 19, -8*q + 4*q + 3*d + z = 0. Let g = q + -6. Which is smaller: -1 or g? g Let s = 138 + -82. Let f be (-2)/(-6) - s/(-21). Let r = -2 - f. Are r and -5 non-equal? False Suppose 2*q + 0*q + 2 = 0. Let r = -117/224 - -3/32. Is r < q? False Let u(b) = b**2 - 5*b + 1. Let o be u(3). Which is bigger: o or -2/9? -2/9 Let v = -338869/9 - -37602. Let r = v - -50. Is r less than or equal to -1? False Let v = 45.9 - 43. Let d = -2.83 - 0.17. Let o = d + v. Which is smaller: 0 or o? o Let u = -3 - -7. Suppose -3*z - u - 5 = 0. Let y be z/(-12)*(-24)/10. Do y and 0 have different values? True Let w = -0.7 - -0.76. Let c = 0.83 - 0.57. Let u = w - c. Which is smaller: u or -0.1? u Let m = 1 + -2. Let l = -2.23 - -3.23. Is l at most as big as m? False Let h be (-1)/3 + 1612/(-186). Let z = 3 - 2.9. Is h bigger than z? False Suppose 182 = b + 4*b + 4*x, -68 = -2*b - 4*x. Which is greater: b or 39? 39 Let t(q) = -28*q - 3. Let p be t(3). Let i be 1/(-4) - p/12. Is 5 less than or equal to i? True Let x be (-56)/4*(-3 + 1). Do 30 and x have the same value? False Let z be 1/3*(-24)/(-2). Let n be (-2)/z - (-2)/(-4). Is -2 < n? True Suppose 0 = 2*n - 2, 0*n + 5*n + 30 = -5*x. Let w = x - -4. Which is greater: w or -0.1? -0.1 Let f be 1/2 + 3/(-6). Let n(q) = 2*q + 1. Let b(d) = -d**2 - d + 1. Let u be b(-2). Let p be n(u). Is f not equal to p? True Suppose 2*l + 3*w = -8, 0 = -4*w - 3 - 13. Let j(d) = -d - 18. Let m be j(-17). Which is smaller: l or m? m Suppose -2*y - 5*c + 21 = -4*y, -4*y = 5*c - 33. Let p(r) = 11 - r**2 + 2*r + 6*r - y. Let u be p(9). Is u smaller than 1/7? True Let l = 9.1 + -9. Which is greater: -11 or l? l Let w = 0.58 + -0.48. Is w equal to -3? False Let c be ((-26)/39)/(-3*2/(-9)). Do -2 and c have different values? True Let w(y) = -2*y + 16. Let j be w(9). Which is smaller: j or 17? j Let v = -140.9 + 141. Let a = -0.1 - -0.3. Do v and a have different values? True Suppose q - 6*q + 3*r = -75, 0 = -2*q - 2*r + 30. Suppose -q*c = -10*c - 65. Do c and 12 have the same value? False Let g = -8/49 + 244/2695. Are g and 1 equal? False Let i = -2 - 6. Which is smaller: i or -9? -9 Suppose 4 = -4*z + 3*d, 22 = 5*z + 2*d + d. Let t be 1*z*(-4 - -5). Let y be (t/(-4))/(3/9). Which is greater: -1 or y? -1 Let x be 36/28 - (0 + 1). Let n(q) = -q. Suppose -4*g + g = 0. Let a be n(g). Is x bigger than a? True Suppose -5*n + 2 - 20 = 2*j, 5*j - n = 9. Which is bigger: -24 or j? j Suppose -22 = 3*a + d, -5*a - d + 2*d = 50. Is -10 smaller than a? True Let g be 294/(-1530) - (-1)/5. Let w = 749/2040 + g. Which is smaller: w or 1? w Let z = 0.13 - 9.13. Let g = 5 + -6. Which is greater: g or z? g Let i be 5/9 + 6/(-27). Let q = -4 - -3. Let x = 2 + q. Is i at most x? True Let a be -5*(72/35 + -2). Suppose -6*g = -9*g - 9. Let q be -2 + g*4/(-12). Do a and q have the same value? False Let q be (224/(-6))/(6/8). Let d = q - -50. Let y = 18 + -17. Which is smaller: y or d? d Let r be 110595/66*622/6. Let n = 173732 - r. Let i = 119/6 - n. Which is smaller: -1 or i? -1 Let r = -0.07 + -0.09. Are r and -1 equal? False Let s be ((-5)/10)/(2/(-4)). Which is smaller: 1/2 or s? 1/2 Let b(m) = -m**2 + 6*m - 1. Let x be b(7). Let d = 3 + x. Suppose 3*h = 1 - 4. Are h and d equal? False Let j be 5/7 + -5 + 4. Which is smaller: -1 or j? -1 Let h = -1.9 - 0.1. Suppose -p = 39 - 9. Let r be (-18)/p - (-2)/5. Are r and h non-equal? True Let k = -25 + 25. Which is greater: k or 2/35? 2/35 Let p be 4/(-14) + 8/28. Suppose p = -12*s + 8*s. Do 2 and s have different values? True Suppose -22*o - 3 = -23*o. Suppose -5*r + 10 = o*a - 2, -r - 2*a + 8 = 0. Let f = 2477/14 - 177. Is f equal to r? False Suppose 3*r - r = -30. Are r and -14 unequal? True Let o be 4752/(-19) - (3 + -2). Let t = o - -251. Let d(a) = a + 4. Let p be d(-4). Is p != t? True Let z be 2/(-12) + (-204)/72. Let h be (z/12)/((-19)/(-4)). Which is greater: 0 or h? 0 Let q = 7.1 - 1.1. Let g = q + -5.8. Are -0.2 and g nonequal? True Let k = 13 + -7. Let c = k - 7. Which is smaller: c or -2/13? c Suppose -3*u = -6*u + 6. Let b be (-2)/(-38)*(-4)/u. Which is smaller: b or -1? -1 Let k(l) = -l**2 + 4*l. Let t be k(5). Let j = 8 + t. Suppose j*p - p + 4*b = 18, -21 = p - 4*b. Which is smaller: p or 0? p Let s(l) = 3*l**2 - 4*l + 3. Let t be s(1). Suppose -5*a + 5 = 10, 2*u - 7 = a. Suppose -j - u = -t. Does -1/4 = j? False Let u(a) = 25*a**3 - a. Let z be u(1). Let y be z/12*2/(-20). Are y and -5 nonequal? True Let i = 109 + -88. Is i smaller than -0.2? False Suppose 10*b + 96 + 24 = 0. Which is bigger: -25/2 or b? b Suppose 0 = -u - y - 2, 3*u - 5*y + 21 = -3*y. Which is greater: 0 or u? 0 Let o be (3 + -5 - -2)/1. Suppose o*t = -4*t. Is t < -1/3? False Suppose -2*g + 8 = -5*k + 23, 4*k = 2*g + 12. Let r be (-20)/(-6) - (-1)/(-3). Suppose -y = 4*t - 2, 3*y - 4*t + r*t - 6 = 0. Is k bigger than y? True Let i = 99 + -1981/20. Let s = i + 1/4. Which is smaller: 1 or s? s Let n = -14 - -4. Let q = n - -10.1. Which is smaller: -4/5 or q? -4/5 Let x be (4/10)/(2/10). Is x != 1/3? True Let i = -34738 - -3439010/99. Let d = 7/11 + i. Which is smaller: 1 or d? d Let i = -8 - -4. Let h be 49/(-14) - 2/i. Suppose -5*n + 19 = 2*j, 0*j + 5*n - 22 = -j. Is j at least h? True Let x = -25 - -18. Let b be (x/(-161))/(2/8). Is 0 at least b? False Let n(j) = 4*j**2 - 3*j - 4. Let b(i) = 7*i**2 - 5*i - 7. Let f(v) = 3*b(v) - 5*n(v). Let o be f(-1). Which is smaller: o or 2/29? o Let m be (0 + 2/(-6))/((-13)/39). Is m <= 3/5? False Let m be (4 - 10)/((-2)/2). Let y be 2/m + 5/120. Let d be -1*2 - -1*3. Are d and y nonequal? True Suppose 31*y + 14 = 29*y. Which is smaller: -6 or y? y Let j(b) = b**2 - 6*b - 1. Let c(f) = -f - 1. Let r(g) = 4*c(g) - j(g). Let v = 15 - 13. Let d be r(v). Is -2 greater than or equal to d? True Let u be 152/(-11) + (-66)/363. Is u smaller than -15? False Let j = 0 + -3. Suppose 3*z = 2*a - 1, 5*a + 3 = 2*z - 0. Which is smaller: a or j? j Let y be (-1 - -2)*8/6*-42. Which is smaller: y or 0.1? y Let i = -8 + 17. Is 9 not equal to i? False Let k be (-1)/(-2)*28/(-21). Is k at least as big as 0? False Let l = 1/11413 - -1529337/57065. Suppose v = -4*y + 104, -2*y + 2 = -2*v - 60. Let f = l - y. Is f <= -1? False Let h be (-3)/((-4)/((-20)/(-3))). Let u = 2 - h. Let y be 0/((-2)/(u/3)). Are y and -1/5 nonequal? True Suppose 0 = 2*a + 2*u - 96, u - 63 = -a - 3*u. Let z = 171/4 - a. Do 0.02 and z have the same value? False Suppose -36*d = -42*d - 24. Let f = -8 - -4. Are d and f equal? True Let u be (-25)/(-66) + 4/(-6). Let o = 142 + -3125/22. Let p = o + u. Is -1/4 at most as big as p? False Suppose -t + 0*t + 33 = 3*j, 5*t = -2*j + 9. Let x be ((-132)/(-160))/((-2)/j). Let k = 19/4 + x. Is 0 at least as big as k? True Let o be ((-3815410)/99)/(8/30). Let q = -144520 - o. Let y = q + -36/11. Is -1 at most as big as y? True Suppose 3 = -3*b + 39. Suppose v + b = -v. Is -6 not equal to v? False Suppose -3*s - 3 = 0, 0*d + 4*d = s + 49. Let j be 24/(-14) - d/42. Let c be j + (-24)/(-5) + -2. Is c less than 1? True Let c = -52 + 48. Suppose -m = 1 + 4. Is c < m? False Let k = -2.3 - -2. Is -2/9 < k? False Let b(f) = f**2 - 10*f + 11. Let l be b(9). Let y(c) = -c**2 + 2*c. Let s be y(l). Let h = 4 + -13/3. Is h greater than s? False Let c(y) = y - 1. Let n(z) = 3*z - 4. Let u(b) = -4*c(b) + n(b). Let m be u(-1). Let q = m + 1. Are q and 2 nonequal? False Let b = -33 - -38. Which is smaller: b or 2? 2 Let r(m) be the second derivative of -m**4/12 + m**3/6 - m**2/2 + 2*m. Let j be r(2). Which is greater: j or -7/2? j Let p = 0.13 - 0.23. Let f = 0.1 - 0. Let o = p + f. Is 2 less than o? False Let o(b) be the first derivative of -2*b**2 + 3*b - 1/3*b**3 - 3. Let l be o(-5). Are l and -2 non-equal? False Let b = 1.6 + -1.2. Let v = b + 0.6. Which is greater: v or -1/4? v Let u = 21 + -42. Which is bigger: u or 1/3? 1/3 Let d be 3 - (-1)/(-9)*31. Let a = 1 + -1. Is a less than d? False Let g = -1449227567/354 - -4093866. Let u = 1/59 + g. Let r = u + -7/2. Are r and 0.3 nonequal? True Let b be 4/22 + 0/14. Is -1 equal to b? False Suppose 0 = -4*r - r + 110. Suppose 3*s + 2 = -0*s + 5*z, 5*s - 2*z = r. Let p(n) = -n + 8. Let y be p(s). Does y = 1? False S
{ "pile_set_name": "DM Mathematics" }
t g = 34.96 - 38.96. Which is the closest to y? (a) g (b) -3/4 (c) -19 b Let m = 12854 - 12852. Which is the nearest to m? (a) 0 (b) 10.4 (c) -4/5 a Let p = 1002.1 - 963. Let i = p + -38.9. What is the closest to i in -1/8, 2/9, 0.3? 2/9 Let o = -5.13 - -0.13. Let j = -1342 - -1344. Suppose 0 = -f - u - 3, -6*u = -4*f - j*u + 4. What is the nearest to -0.2 in 0.2, f, o? 0.2 Let k = -11947 + 12041. What is the closest to -1 in k, -3, 0.4, -0.2? -0.2 Let p = 2702443/336270 + -1/6114. Let d = p - 84/11. Let m = 1.3 + -0.9. Which is the closest to d? (a) 5 (b) -0.5 (c) m c Let v be 3*-1 + (2 - (3 + -6)). Let r = 66.94 + -67. Let g = r + -0.04. What is the closest to 1/4 in -3/5, v, g? g Let v = -0.46 + 0.26. Which is the closest to v? (a) 0.5 (b) -0.01 (c) -2 (d) 0.3 b Let j = -20.3 + 20. Let b = 40 + -78. Let y = 38.2 + b. What is the nearest to 1/2 in y, -1, j? y Let t = 7386 - 7401. What is the nearest to 1 in 0.06, -3, t? 0.06 Let p = 50 + -50.0588. Let m = 0.2412 - p. Let l = 1 - -4. Which is the closest to -2/9? (a) m (b) l (c) -4 a Let y = 12 - 17. Suppose 3*o = -1460*z + 1465*z + 5, 13 = 3*z - 5*o. What is the closest to 1 in y, 1/16, 2, z? 1/16 Let c = -46.7 - -47. Let g be -1 + 7 - ((-6 - -1) + 3). Suppose -i = -s + 6, 6*i - 3*i = -2*s - g. What is the closest to s in -0.3, -1, c? c Let g = -529.6 + 530. Let n be 3/2 - (-1 + 2) - -1. What is the closest to n in -1/4, -0.3, g? g Let s = -2755 - -8267/3. What is the closest to 1/2 in -4, 1/4, s, 138? s Let m = -761 + 757. Let r = 18.2 + 2.8. Let w = 19 - r. Which is the nearest to w? (a) m (b) 3 (c) -0.1 c Let x = -33.8 + 34. Let u be ((-315)/(-75) + (-2)/10)/7. Let t = -10 - -9.9. What is the nearest to t in x, u, 4? x Let k = -1164 + 8146/7. What is the closest to k in 0.2, -261, 1/3, 2/11? 2/11 Let k(j) = 3*j. Let q be k(3). Let u = -3817 - -3818. Suppose 20 + 5 = -5*c. What is the nearest to u in c, q, -0.4? -0.4 Let n = 0.7 - 1.7. Let r = 5.1 + -0.1. Let g = -0.682 + 0.582. What is the nearest to n in 4, g, r? g Let s = 27426 - 27429. Let a be 2864/60 - (-4)/(-10). Let q = a - 47. What is the nearest to q in -0.6, -0.2, s? -0.2 Let i = -13461 + 13457. What is the nearest to 0 in i, 6, -2/13, 0.1? 0.1 Let u = 6.6 + 0.4. Let o = u - 3. Suppose 20*t = -6*t - 10*t - 36. Which is the nearest to -1? (a) 1/3 (b) o (c) t c Let h = -17.47 - -17.467. Which is the nearest to -0.1? (a) -3 (b) 8 (c) -5 (d) h d Let z = -4/1209 + -2398/6045. Which is the nearest to -10? (a) -5 (b) z (c) 1 (d) -2/13 a Suppose -2*t + 7 = 3*c, 0*t + 4 = 4*t + 4*c. Let m = -67.48 + 67.48. Suppose -18 = 4*y - y. What is the nearest to -0.3 in t, y, m? m Let i = -651.67 + 649. Let w = i - -2.56. Which is the closest to 0? (a) w (b) 3 (c) -0.4 a Suppose -5*i = 15 - 50. Let y = -33 + -256. Let b = y - -294. What is the nearest to 2 in i, b, -5/2? b Let h be 1/(-2) - 11/(-14). Let i = -0.2 + 1.2. Let g = 143698.5 + -143698. Which is the closest to i? (a) g (b) h (c) -1/6 a Let r = 0.2811 + 57.2189. Which is the nearest to r? (a) -1 (b) -2 (c) 4 (d) 0.2 c Let p = -207.7 + 221. Let h = p + -13.3. Which is the nearest to h? (a) -8 (b) -1 (c) 4 b Let i = 6360 - 6370. What is the nearest to -2/5 in 1/2, -9, i? 1/2 Let z be 184/(-16) - (-13 - -2). What is the closest to z in -0.2, -16, 0.1, 0.3? -0.2 Let a = -15843 - -15844. Let o be ((-20)/45)/(-1 + 4/3). Let z = 2.08 - 2. What is the nearest to z in a, o, 0.1? 0.1 Suppose 3 - 41 = -2*z - 3*t, -3*t - 76 = -4*z. Suppose 4*r + z = 3*k, -3*k - 6*r + 3*r + 12 = 0. Which is the closest to -10? (a) k (b) -1 (c) -0.5 b Let s = -376 + 372. Let t = 953/28 - 34. Let o = t - -3/14. Which is the nearest to o? (a) 0.01 (b) -1/7 (c) s a Let i = 717 - 740. Let n = -6798 + 34432/5. Let l = 89 - n. What is the nearest to i in 2/25, l, 0.4? 2/25 Let z = -3792 + 3796. What is the nearest to z in -2, -0.1, 2/17, -2/9? 2/17 Let g = -0.48941 - 0.01059. Let y = -7 + 3. What is the nearest to -1 in -2, g, y? g Let b = -4128 - -4128. Let x = -15 + 11. What is the nearest to b in -3/2, x, -10? -3/2 Suppose 3*f + 3 = -0. Let t = -5 - -5.2. Let s = 13250 - 13245. What is the closest to f in s, -1, t? -1 Let s = -0.08686 - 0.06314. Which is the closest to -1/3? (a) 5 (b) s (c) 2/13 (d) -0.1 b Suppose 25 = 3*n + 2*n. Let t = -8 + n. Let i(p) = 11*p - 197. Let u be i(18). Which is the nearest to u? (a) t (b) -0.5 (c) -0.1 c Suppose 2*b = -s + 10, -b - 5*s + 23 = -0*b. Let h = -360 + 3958/11. Let p be (-13)/(-104)*(-8)/(-5). What is the nearest to p in b, h, -0.5? h Let x = -3766 - -3765.9. Let r be (2 - 3) + -4 + 440/85. Which is the closest to x? (a) 2/13 (b) -3 (c) r a Let s = 32.7 + 15. Let m = 48 - s. What is the closest to 0 in m, -3, 1/9? 1/9 Let x be (2/10)/((-8)/(-10)). Let w be 2*((-51)/(-119))/(3/14*4). Which is the closest to 2/7? (a) -5 (b) x (c) w b Suppose -2*b + 20 = -6*b. Let o(y) = y + 1. Let s be o(b). Suppose 2*k = 3*t - 16, -144*t - 3*k - 2 = -143*t. What is the closest to 1 in s, 0.1, t? 0.1 Let n be ((-2)/(-4))/((-3)/6). Let m = 808.8 - 810. Let r = -1.566 - -1.366. What is the nearest to n in 0.3, m, r? m Let o(j) = -15*j - 14. Let l(m) = m**2 + 24*m - 26. Let s be l(-25). Let t be o(s). Let k = 10 - 71/7. Which is the nearest to t? (a) -3 (b) -12/11 (c) k c Let y = -103.12 + 108.42. Which is the nearest to y? (a) -3 (b) -1/2 (c) -1 (d) 5/3 d Let o be 1 + (-18)/10 + 1. Let u be (91/14 + -7)*-10. Let n be u - 0*(-3)/(-11 - 1). What is the closest to o in -3, 0.3, n? 0.3 Suppose -3450*o = -3454*o - 8. Which is the closest to -2/3? (a) o (b) -8 (c) -1 (d) 88 c Suppose 33*z + 165 = -4*z - 18*z. Let m = 0.35 - 2.35. What is the closest to m in 2, z, -4, -0.3? z Suppose -4*l + 3*q = -246, 5*l = -2*q + 6*q + 308. Suppose -l = 5*m + 40. Which is the nearest to 2? (a) -1 (b) -2/11 (c) m b Let j = -231 - -227. Let o = -54.3 + 54. Which is the closest to j? (a) -0.4 (b) 2 (c) o a Let l = 245 + -83. Suppose 32*r - 34 = -l. Suppose -4*b + 2*a - 5*a + 17 = 0, 3*b + 4*a = 18. What is the closest to b in -2, r, -0.2? -0.2 Let t = -5.3 - -5. Let r = -0.2 + 0.3. Let n = 31582/3 + -10528. Which is the nearest to r? (a) t (b) 2/7 (c) n b Let q be 2/(-3)*1 + (1213 - 1212). Which is the nearest to 2? (a) -0.12 (b) -1/77 (c) q c Let z be 3 - ((-128)/8)/(4/62). Suppose z - 541 = 10*f. What is the nearest to -1 in -0.5, f, 5/4? -0.5 Suppose 5*o - 3*o - 20 = -4*u, 0 = 3*u - 5*o - 2. Let g be (-7)/14*u/11. Let b = -7439/9 + 827. What is the nearest to 0.06 in b, g, 0? 0 Let w be (4 + -2)/((-3)/((-54)/12)). Let t be 5/15*-3 - w. Which is the nearest to 3? (a) 2 (b) -2 (c) t a Let o be (68/32 + -6)/(-3). Let r = 25/24 - o. Which is the closest to r? (a) 1 (b) -0.47 (c) -3 b Let h = 0 - -0.04. Let i be (46/(-92))/((-3)/2). Let y = -113 + 111. Which is the nearest to h? (a) i (b) -3 (c) y a Suppose 0 = -2*k + 2*n + 10, -31 = 17*k - 20*k + 5*n. Which is the nearest to 1/3? (a) 0.3 (b) k (c) -0.034 (d) -12 a Let n = 1.1307 + -0.1307. What is the nearest to 0.1 in -4/3, 4, n, -1.6? n Let z = -51158/51 - -1003. Let k = z - 4/17. Let c = 44 - 133/3. What is the closest to k in -9, c, 1? c Let h = -16 + 14. Let f be (-3)/h*(-10)/(-75). Let d = 3.9 + 0.1. Which is the nearest to d? (a) 0.4 (b) f (c) 0 a Let r = 2.22 + -3.22. What is the nearest to r in 0.3, -0.2, 3, 0.6? -0.2 Let i = 4700 + -4699.9786. Which is the nearest to 0? (a) i (b) 0.3 (c) -0.4 a Let t = 81.33 - 85.33. What is the nearest to -2 in -9, 3, t, 8? t Let l = -2 + 3. Let z = 0.1624 - 5.1624. What is the nearest to z in l, 5/3, 0.5? 0.5 Let a be 2/(-9) - (-24)/108. Let f be 25/(-35) + 1 + a. Let d(w) = -5*w + 42. Let x be d(9). What is the closest to 1/8 in 1/3, f, x? f Let z = 991/3 - 331. Let k = 591.74 + -597. Let n = k - -0.26. What is the closest to 0.1 in z, n, -1? z Let w be ((-283)/5660)/((-1)/10). What is the closest to -0.1 in -0.01, -1.1, w? -0.01 Let v = 1776.9 - 1773.9. Which is the nearest to v? (a) -0.21 (b) -4 (c) -0.7 (d) 0.2 d Let u = 2549 - 2548. What is the nearest to u in -12, 0.5, -15? 0.5 Let s = -3.966 - -2.966. Suppose -l = -2*x + 54, -2*x - 57 = l - 5*x. Let h = l + 337/7. Which is the nearest to s? (a) h (b) -3 (c) 3
{ "pile_set_name": "DM Mathematics" }
ousands digit of 161075695? 5 What is the units digit of 145531679? 9 What is the tens digit of 779763651? 5 What is the units digit of 536435093? 3 What is the hundreds digit of 156867297? 2 What is the units digit of 11745881? 1 What is the hundred millions digit of 3017018357? 0 What is the hundreds digit of 441260885? 8 What is the units digit of 348693536? 6 What is the units digit of 56309373? 3 What is the millions digit of 100186962? 0 What is the millions digit of 24939277? 4 What is the hundreds digit of 84351059? 0 What is the hundred thousands digit of 360076921? 0 What is the millions digit of 792412980? 2 What is the hundred thousands digit of 666607001? 6 What is the ten thousands digit of 90904470? 0 What is the hundreds digit of 1150552129? 1 What is the hundreds digit of 956943719? 7 What is the ten millions digit of 166635473? 6 What is the tens digit of 2155984943? 4 What is the tens digit of 26488120? 2 What is the hundred thousands digit of 93740539? 7 What is the ten thousands digit of 51758169? 5 What is the hundreds digit of 574512342? 3 What is the thousands digit of 96722846? 2 What is the ten thousands digit of 39354516? 5 What is the hundred thousands digit of 5089819456? 8 What is the ten thousands digit of 2179596744? 9 What is the tens digit of 2952152535? 3 What is the units digit of 383775010? 0 What is the hundreds digit of 4092504414? 4 What is the ten thousands digit of 3485482980? 8 What is the millions digit of 2412414607? 2 What is the thousands digit of 286337162? 7 What is the hundred thousands digit of 5369693384? 6 What is the hundred millions digit of 669700368? 6 What is the hundreds digit of 793093577? 5 What is the ten millions digit of 921227650? 2 What is the ten millions digit of 159369359? 5 What is the tens digit of 515758576? 7 What is the thousands digit of 46934795? 4 What is the thousands digit of 338947907? 7 What is the ten thousands digit of 51296652? 9 What is the thousands digit of 12725050? 5 What is the hundred thousands digit of 457372935? 3 What is the hundreds digit of 46700988? 9 What is the millions digit of 404872378? 4 What is the hundred thousands digit of 3400130363? 1 What is the units digit of 628606139? 9 What is the thousands digit of 1517872767? 2 What is the ten thousands digit of 57634632? 3 What is the hundreds digit of 110001317? 3 What is the thousands digit of 2214949015? 9 What is the thousands digit of 356738168? 8 What is the hundreds digit of 1058299352? 3 What is the hundreds digit of 4013836201? 2 What is the thousands digit of 7246317? 6 What is the thousands digit of 43215689? 5 What is the hundred thousands digit of 489770624? 7 What is the units digit of 4135467942? 2 What is the millions digit of 3049163088? 9 What is the thousands digit of 1897821416? 1 What is the thousands digit of 3654006573? 6 What is the ten thousands digit of 1718354585? 5 What is the hundred thousands digit of 163421041? 4 What is the millions digit of 65022412? 5 What is the ten millions digit of 1686909216? 8 What is the hundred millions digit of 365899207? 3 What is the ten thousands digit of 1761933131? 3 What is the hundred millions digit of 533963455? 5 What is the thousands digit of 391184517? 4 What is the hundreds digit of 2269080966? 9 What is the millions digit of 583225490? 3 What is the hundred thousands digit of 407132935? 1 What is the tens digit of 81732054? 5 What is the ten thousands digit of 393659689? 5 What is the thousands digit of 64174835? 4 What is the millions digit of 559413632? 9 What is the hundred thousands digit of 149548504? 5 What is the ten thousands digit of 171774778? 7 What is the hundreds digit of 33613215? 2 What is the billions digit of 2376686078? 2 What is the thousands digit of 77663427? 3 What is the millions digit of 54279956? 4 What is the ten millions digit of 140101397? 4 What is the units digit of 541653682? 2 What is the hundred thousands digit of 191924754? 9 What is the units digit of 3467169940? 0 What is the hundred thousands digit of 2866678688? 6 What is the hundred millions digit of 378469338? 3 What is the tens digit of 46120129? 2 What is the units digit of 2159223770? 0 What is the billions digit of 1610689078? 1 What is the hundreds digit of 102444340? 3 What is the hundred thousands digit of 180530? 1 What is the units digit of 249590383? 3 What is the millions digit of 56062962? 6 What is the thousands digit of 54407850? 7 What is the billions digit of 5131440772? 5 What is the ten thousands digit of 30660312? 6 What is the ten millions digit of 76335065? 7 What is the hundred thousands digit of 185153458? 1 What is the ten thousands digit of 3227446481? 4 What is the units digit of 5389573146? 6 What is the millions digit of 34304649? 4 What is the units digit of 25426514? 4 What is the millions digit of 59287881? 9 What is the hundred thousands digit of 4361837527? 8 What is the thousands digit of 230283515? 3 What is the tens digit of 1238885608? 0 What is the units digit of 5691077? 7 What is the hundred thousands digit of 169853390? 8 What is the ten thousands digit of 41870015? 7 What is the thousands digit of 6901683? 1 What is the hundred thousands digit of 65027093? 0 What is the hundred millions digit of 2289627999? 2 What is the ten thousands digit of 165992962? 9 What is the ten millions digit of 356136417? 5 What is the ten thousands digit of 532081949? 8 What is the hundred thousands digit of 848807057? 8 What is the hundred millions digit of 487387700? 4 What is the thousands digit of 96070280? 0 What is the thousands digit of 3656970287? 0 What is the hundred thousands digit of 152852863? 8 What is the ten thousands digit of 2158963302? 6 What is the hundreds digit of 505894625? 6 What is the hundred millions digit of 216107041? 2 What is the ten thousands digit of 1079628? 7 What is the tens digit of 3057837059? 5 What is the tens digit of 1142267343? 4 What is the ten thousands digit of 323981718? 8 What is the ten thousands digit of 161033561? 3 What is the hundreds digit of 322484188? 1 What is the thousands digit of 55898955? 8 What is the millions digit of 1768196613? 8 What is the hundreds digit of 6951991? 9 What is the ten millions digit of 219253266? 1 What is the millions digit of 1813130595? 3 What is the millions digit of 6097626941? 7 What is the billions digit of 3135949885? 3 What is the hundred thousands digit of 237376745? 3 What is the ten millions digit of 1260310100? 6 What is the ten thousands digit of 115327690? 2 What is the tens digit of 62209345? 4 What is the hundreds digit of 95385248? 2 What is the ten thousands digit of 132392561? 9 What is the ten millions digit of 63945442? 6 What is the thousands digit of 52014164? 4 What is the ten thousands digit of 5872991575? 9 What is the millions digit of 39454985? 9 What is the hundred thousands digit of 1089649426? 6 What is the ten millions digit of 4783655025? 8 What is the millions digit of 39239032? 9 What is the ten millions digit of 2103833013? 0 What is the units digit of 178694597? 7 What is the hundreds digit of 520939600? 6 What is the millions digit of 85004550? 5 What is the hundred millions digit of 218487819? 2 What is the hundreds digit of 15063699? 6 What is the thousands digit of 703568952? 8 What is the ten millions digit of 449421413? 4 What is the millions digit of 74184543? 4 What is the hundred millions digit of 1034122614? 0 What is the tens digit of 86439420? 2 What is the hundreds digit of 666064781? 7 What is the millions digit of 136194091? 6 What is the hundreds digit of 57992875? 8 What is the hundreds digit of 5323220627? 6 What is the units digit of 2438251809? 9 What is the hundred thousands digit of 38020739? 0 What is the millions digit of 767844999? 7 What is the hundreds digit of 2546622883? 8 What is the hundred thousands digit of 49629176? 6 What is the ten thousands digit of 2450287272? 8 What is the hundreds digit of 13590231? 2 What is the hundreds digit of 440712920? 9 What is the thousands digit of 283480165? 0 What is the hundreds digit of 69794903? 9 What is the hundred millions digit of 2119935283? 1 What is the thousands digit of 2937489? 7 What is the units digit of 208733
{ "pile_set_name": "DM Mathematics" }
7). Let p = j + 235031/30. Find the common denominator of 46/3 and p. 30 Find the common denominator of (-219)/292*218/90 and -109/624. 3120 Suppose 0 = -3*n + 3*p - 32 - 55, 0 = 3*p - 6. Let l(h) = -h**2 - 11*h - 10. Calculate the least common multiple of l(-9) and ((-2)/3)/(3/n). 24 Let q be (22/5)/((-2)/(-20)). Suppose q = v + 12. What is the smallest common multiple of 1 and v? 32 Calculate the common denominator of -321*(-5)/(-315) + 1 + 0 and 59/12. 84 Let x = 1942/3 + -623. Let d = 23 - x. Let c = -2592/5 - -512. Find the common denominator of d and c. 15 Let w(n) = -n**3 + 14*n**2 + 15*n + 4. Suppose -3*m = -60 - 30. Suppose y - 5 = -5*v, 2*y + 2*y + m = 5*v. What is the smallest common multiple of v and w(15)? 4 Let w = -1944 + 2024. What is the least common multiple of 10 and w? 80 Let n = -10267/6 - -1708. Calculate the common denominator of 5/29 and n. 174 Let j = 20/1457 + -104827/100533. What is the common denominator of j and -29/6? 138 Suppose 114 = -z + 4*z + 3*x, 0 = -4*z - 5*x + 148. Let f = -163 + 168. Calculate the lowest common multiple of f and z. 210 Let h(m) = -m**2 + 24*m - 105. Calculate the lowest common multiple of h(15) and 180. 180 Suppose 8*z = -5*s + 3*z - 90, -4*s + 4*z = 80. Let b = 23097160/201 + -114925. Let g = -6/67 - b. What is the common denominator of s and g? 3 Let n(p) = -9*p + 9. What is the least common multiple of 48 and n(-2)? 432 Find the common denominator of (39/(-6))/((-18)/16) and -64/87. 261 Find the common denominator of -9/22 and 105*4/528 - -1. 44 Let f(k) = -k**2 + 7*k - 2. Suppose -11*q + 25 = -6*q. Let j = 22 - 12. Calculate the smallest common multiple of f(q) and j. 40 Let c = 245 - 173. Suppose 5*u - b = c, -b = -5*u - 2*b + 68. What is the lowest common multiple of u and 50? 350 Let a = -562907/30 + 18769. Calculate the common denominator of a and 187/30. 30 Let n be 2/(-3)*(-441)/(-1). Let l = 94 - n. Calculate the least common multiple of l and 16. 1552 Calculate the common denominator of -26/77 and ((-61)/(-4))/((-105)/12). 385 Let i = -3373/8 - -419. Let j(p) = -6*p**2 + 2*p + 4. Let b be j(-3). What is the common denominator of b/96*(-71)/7 and i? 24 Suppose 6 + 109 = i. What is the lowest common multiple of i and 20? 460 Suppose -7*m = 43 - 267. Suppose -m - 4 = -4*g. What is the lowest common multiple of 5 and g? 45 Let c(t) = -21*t - 51. Calculate the lowest common multiple of 60 and c(-5). 540 Let u be (-1056)/10*(-345)/(-46). Let o = u + 4727/6. Find the common denominator of 19/90 and o. 90 Let v = 597 - 583. Suppose b + 3*b = 16. Suppose -b*w - 2*s = -22 - 16, 49 = 2*w - 5*s. What is the lowest common multiple of w and v? 84 Find the common denominator of 17 + (-58939)/3366 - (-1)/(-9) and 79/66. 66 Find the common denominator of -73/72 and (3584/(-42) + -14)*2/72. 216 Let p(a) = -4*a + 23. Let q be p(8). Find the common denominator of 89/4 and q/(4*35/65). 28 Let s = -215012 - -84069636/391. What is the common denominator of 31/11 and s? 4301 Let r(y) = y**3 - 9*y**2 + 3*y + 6. Let z be r(6). Calculate the common denominator of (-11)/(-77) - (-1293)/z and 7/8. 8 Let m(b) = 2*b**3 + 1. Let t be m(1). Suppose g + 2*i = -2*i + 20, 4 = 4*g - t*i. What is the smallest common multiple of 34 and g? 68 Let n(o) = 10*o**2. Suppose 38*v - 151 = 1. Calculate the least common multiple of n(-1) and v. 20 Let g = -543/20 - -27/5. What is the common denominator of 18/(-27)*(-207)/4 and g? 4 Let i be (1 - 13/1)*1256/(-9). Let k = i + -1651. Calculate the common denominator of -53/18 and k. 18 Let r(a) = a**2 - 5*a + 3. Let q be r(5). Find the common denominator of (116/(-3))/(q - 5) and (-1 - 55/(-45)) + 3. 9 Let r(s) = -126*s - 5. Let c be r(-5). What is the common denominator of -145/6 and ((-2)/(-4))/(((-315)/c)/7)? 18 Let d = 19244/7 - 2755. Let l be 2/7 - (-115)/(-35). Calculate the common denominator of l/(-9)*(-237)/(-2) and d. 14 Let g(t) = 30*t - 80. What is the lowest common multiple of 28 and g(3)? 140 Suppose -d = 4*d - 60. Calculate the lowest common multiple of (-14)/4*8556/(-651) and d. 276 Suppose 657 = -8*z - 351. Let m(b) = -b + 2. What is the lowest common multiple of 48/5 + (z/35 - -4) and m(-6)? 40 Let r = 1 + -2. Let k(h) = 8*h**2 - 2*h. Calculate the smallest common multiple of k(-2) and (-3 - -7)*(1 - r). 72 Let m = -1789/3 + 5291/9. What is the common denominator of m and 5/(-20)*(-73)/(-6)? 72 Let q(s) = -2*s + 20. Let u be q(13). What is the common denominator of 312/36*u/56 and -119/12? 84 Let j = 9503/6183 + 17/458. Let g(u) = u**3 - 2*u - 3. Let c be g(-3). Find the common denominator of j and ((-2)/c)/((-7)/1750). 54 Suppose 2*f = -4*c + 6 - 0, -2*f + 5*c - 3 = 0. What is the smallest common multiple of (-2*f)/(2/(-7)) and (3/((-12)/(-5)))/(6/48)? 70 Let f be (-2217819)/540 - (-2)/9. Let q = f - -4108. Let y = -2941 - -35401/12. What is the common denominator of y and q? 60 Let u(l) be the third derivative of -l**5/60 + 7*l**4/24 + l**3/3 + 8*l**2. What is the lowest common multiple of 12 and u(7)? 12 Let h = -113471/30 - -3782. Find the common denominator of -53/45 and h. 90 Let y = -7264 - -11257. Let g = -1516 + y. Let k = g - 7495/3. What is the common denominator of -11/8 and k? 24 Suppose -f = 5*d - 27, -d - 54 = -2*f + 3*d. Suppose 5*j = 61 + 89. What is the lowest common multiple of j and f? 270 Let n be (-21)/35 + (-263)/(-5). Let r = -34 + n. What is the least common multiple of r and 4? 36 Let c be (3/(-4) - -1)*(-6112)/5. Let o = 18991/60 + c. Calculate the common denominator of o and -1/6. 12 Let t be 1 - (-8)/(-2)*-1. Suppose 0*w = w - 4*k + 6, -6 = -t*w + 2*k. Suppose w*y - 22 - 22 = 0. Calculate the smallest common multiple of y and 16. 176 Suppose -2*q + 13 = -0*q - 5. Suppose 2*j + j + 60 = 3*k, -5*k + 70 = j. Calculate the lowest common multiple of k and q. 45 Find the common denominator of (-1 - 21) + ((-4)/(-3))/(-2) and 2/19. 57 Let g be 2/(0/2 - 2). Let a be (3 - (4 + -1))*g. Suppose -5*r - 30 = -5*i, a*r - 6 = -2*r. Calculate the lowest common multiple of i and 7. 63 Let q(r) = -155*r + 3. Let h = 58 - 59. Calculate the smallest common multiple of q(h) and 10. 790 Let l = -1818 + 2139. What is the smallest common multiple of 9 and l? 963 Let j = 29 - 41. Calculate the least common multiple of (-2 + 26/7)/(j/(-42)) and 11. 66 What is the common denominator of (486/(-10) + -3)*5/(-45) and (-363)/(-90) + (-2)/5? 30 Let w be 16/12*(-3)/(-2). Suppose 0 = -w*k + 7*k + 30. Let a = k - -8. Calculate the smallest common multiple of a and 3. 6 Calculate the lowest common multiple of (-23978)/(-266) + 1/(-7) and 90. 90 Let w(u) = -u**3 + 7*u**2 - 7*u + 8. Suppose 0 = 4*z - 3*a - 33, 31 = 3*z - 63*a + 62*a. What is the lowest common multiple of z and w(6)? 12 Calculate the lowest common multiple of 3*8/12 + (-5 - -11) and 9. 72 Suppose -4*i = 2*g - 128, 3*i - 396 = -5*g - 48. What is the lowest common multiple of g and 6? 72 Calculate the least common multiple of (12/10)/(((-306)/(-60))/17) and 73. 292 Let i = 123752/49 - 2526. Let k = i - 1679/735. What is the common denominator of k and 40/33? 165 Let s = 314715/26 - 12106. Calculate the common denominator of 1 + 1 + -2*(-126)/(-96) and s. 104 Let a(b) = -5*b**3 + 1. Let j be a(1). Find the common denominator of (-166)/(-84) + j/8 and 73/3. 21 Suppose -22*d + 1091 = -361. What is the lowest common multiple of d and 110? 330 Suppose 0*u = -5*u + 55. Calculate the smallest common multiple of u and 7. 77 Let x(q) = -2*q**3 - q**2 + 2*q - 1. Let i be x(-2). What is the common denominator of (i/(-3))/(20/6) and 296/740 + (149/40)/1? 40 Let s(w) = 17*w**3 + 3*w - 16*w**3 - 2*w**2 - 6 + 8*w**2. What is the smallest common multiple of 6 and s(-5)? 12 Find the common denominator of -3/50 and (-73)/(-30) - -2*(-6)/4. 150 Let n(v) = v**2 - 2*v. Let f be n(3). Suppose -f*x + 10 - 4 = 0. Calculate the smallest common multiple of x and 16. 16 Find the common denominator of 40/(-16)*-2 + 404/(-70) and 85/2. 70 Let g(n) = n**3 - 11*n**2 + 9*n + 8. Let q be g(10). Let t be ((-168)/16)/(3/(-4)). Let x = t - q. Calculate the lowest common multiple of x and 12. 48 Let h(q) = 12*q**2 - 8*q - 3. Calculate the smallest common multiple of 108 and h(3). 324 Let y be 4*1 + (-14 - -10). Suppose y*u - 24090 = 6*
{ "pile_set_name": "DM Mathematics" }
s are there between 4:28 PM and 1:26 AM? 538 How many minutes are there between 3:04 PM and 9:11 PM? 367 What is 59 minutes before 2:59 PM? 2:00 PM How many minutes are there between 12:37 PM and 7:25 PM? 408 What is 559 minutes before 5:27 AM? 8:08 PM How many minutes are there between 7:44 AM and 5:08 PM? 564 How many minutes are there between 8:25 AM and 1:35 PM? 310 How many minutes are there between 9:06 PM and 9:42 PM? 36 What is 277 minutes after 8:01 PM? 12:38 AM How many minutes are there between 8:51 PM and 12:54 AM? 243 What is 103 minutes before 7:21 AM? 5:38 AM What is 596 minutes after 9:03 AM? 6:59 PM What is 443 minutes after 7:03 AM? 2:26 PM What is 699 minutes after 3:14 PM? 2:53 AM How many minutes are there between 12:47 AM and 8:24 AM? 457 How many minutes are there between 4:51 AM and 7:25 AM? 154 What is 52 minutes before 9:19 AM? 8:27 AM What is 428 minutes after 4:19 PM? 11:27 PM How many minutes are there between 3:15 PM and 4:14 PM? 59 What is 685 minutes after 7:59 PM? 7:24 AM How many minutes are there between 6:07 PM and 6:46 PM? 39 How many minutes are there between 6:48 AM and 8:56 AM? 128 How many minutes are there between 7:22 AM and 7:06 PM? 704 What is 501 minutes after 7:34 AM? 3:55 PM What is 374 minutes after 12:59 PM? 7:13 PM How many minutes are there between 2:19 PM and 1:49 AM? 690 How many minutes are there between 3:28 AM and 11:05 AM? 457 What is 582 minutes before 1:31 PM? 3:49 AM How many minutes are there between 12:43 AM and 8:59 AM? 496 How many minutes are there between 5:42 PM and 5:37 AM? 715 How many minutes are there between 3:19 PM and 1:30 AM? 611 What is 371 minutes before 10:37 PM? 4:26 PM How many minutes are there between 6:10 PM and 5:02 AM? 652 How many minutes are there between 10:30 PM and 7:48 AM? 558 How many minutes are there between 3:15 AM and 8:37 AM? 322 What is 344 minutes after 12:30 PM? 6:14 PM How many minutes are there between 2:24 AM and 9:06 AM? 402 What is 325 minutes after 8:04 PM? 1:29 AM What is 33 minutes after 2:31 PM? 3:04 PM What is 231 minutes before 8:45 PM? 4:54 PM What is 517 minutes before 12:01 PM? 3:24 AM How many minutes are there between 7:08 AM and 1:33 PM? 385 What is 128 minutes after 6:06 PM? 8:14 PM How many minutes are there between 2:32 PM and 12:43 AM? 611 How many minutes are there between 12:20 PM and 10:48 PM? 628 What is 137 minutes before 9:41 AM? 7:24 AM What is 576 minutes before 5:01 PM? 7:25 AM How many minutes are there between 2:02 AM and 7:56 AM? 354 How many minutes are there between 12:08 PM and 1:55 PM? 107 What is 345 minutes after 7:14 PM? 12:59 AM How many minutes are there between 4:01 AM and 7:05 AM? 184 How many minutes are there between 8:28 PM and 3:02 AM? 394 What is 402 minutes before 11:54 AM? 5:12 AM What is 578 minutes after 3:20 AM? 12:58 PM What is 689 minutes before 11:07 AM? 11:38 PM What is 291 minutes after 5:40 AM? 10:31 AM How many minutes are there between 11:31 AM and 2:32 PM? 181 How many minutes are there between 4:19 PM and 1:55 AM? 576 What is 132 minutes before 2:09 PM? 11:57 AM How many minutes are there between 3:06 PM and 8:06 PM? 300 How many minutes are there between 2:29 PM and 2:35 PM? 6 How many minutes are there between 1:19 AM and 3:19 AM? 120 What is 41 minutes before 7:18 PM? 6:37 PM How many minutes are there between 2:55 AM and 12:31 PM? 576 What is 185 minutes before 12:02 AM? 8:57 PM What is 310 minutes after 7:17 AM? 12:27 PM What is 592 minutes after 12:16 AM? 10:08 AM How many minutes are there between 4:56 AM and 5:16 AM? 20 What is 41 minutes before 7:44 PM? 7:03 PM How many minutes are there between 10:28 AM and 9:32 PM? 664 How many minutes are there between 7:41 PM and 3:35 AM? 474 How many minutes are there between 11:34 PM and 8:14 AM? 520 What is 344 minutes after 6:50 AM? 12:34 PM How many minutes are there between 12:01 PM and 2:01 PM? 120 What is 19 minutes after 3:38 PM? 3:57 PM What is 678 minutes after 2:47 AM? 2:05 PM What is 260 minutes after 1:31 PM? 5:51 PM How many minutes are there between 9:46 PM and 10:48 PM? 62 How many minutes are there between 6:04 PM and 4:13 AM? 609 What is 418 minutes after 5:35 AM? 12:33 PM How many minutes are there between 9:21 AM and 7:26 PM? 605 How many minutes are there between 11:46 PM and 9:43 AM? 597 How many minutes are there between 1:42 PM and 1:07 AM? 685 How many minutes are there between 10:13 AM and 7:12 PM? 539 How many minutes are there between 7:25 AM and 6:54 PM? 689 How many minutes are there between 5:01 PM and 12:37 AM? 456 What is 584 minutes before 8:49 PM? 11:05 AM How many minutes are there between 3:35 AM and 11:25 AM? 470 How many minutes are there between 7:29 PM and 6:48 AM? 679 How many minutes are there between 6:55 PM and 5:57 AM? 662 What is 549 minutes after 4:56 AM? 2:05 PM What is 35 minutes before 2:38 PM? 2:03 PM What is 298 minutes before 4:13 PM? 11:15 AM What is 424 minutes before 3:27 PM? 8:23 AM How many minutes are there between 1:57 PM and 2:16 PM? 19 What is 448 minutes after 7:08 PM? 2:36 AM How many minutes are there between 2:07 AM and 11:06 AM? 539 How many minutes are there between 12:33 PM and 9:28 PM? 535 What is 617 minutes before 1:39 AM? 3:22 PM How many minutes are there between 4:09 PM and 4:29 PM? 20 What is 44 minutes after 5:37 PM? 6:21 PM How many minutes are there between 6:04 PM and 5:25 AM? 681 What is 470 minutes before 9:55 AM? 2:05 AM What is 320 minutes before 5:17 PM? 11:57 AM How many minutes are there between 9:31 AM and 2:44 PM? 313 How many minutes are there between 9:58 PM and 5:02 AM? 424 What is 176 minutes before 6:24 PM? 3:28 PM What is 428 minutes after 7:24 AM? 2:32 PM What is 322 minutes before 8:57 PM? 3:35 PM What is 492 minutes after 11:43 PM? 7:55 AM How many minutes are there between 1:57 PM and 11:42 PM? 585 How many minutes are there between 5:33 PM and 8:09 PM? 156 What is 42 minutes after 3:37 AM? 4:19 AM How many minutes are there between 6:51 AM and 5:55 PM? 664 What is 328 minutes after 6:17 AM? 11:45 AM How many minutes are there between 11:10 PM and 2:00 AM? 170 What is 456 minutes after 11:38 PM? 7:14 AM How many minutes are there between 5:16 PM and 10:48 PM? 332 What is 371 minutes before 11:02 PM? 4:51 PM How many minutes are there between 4:01 AM and 2:35 PM? 634 What is 623 minutes after 10:32 PM? 8:55 AM What is 595 minutes after 1:20 AM? 11:15 AM What is 331 minutes before 5:29 PM? 11:58 AM How many minutes are there between 1:44 AM and 11:36 AM? 592 How many minutes are there between 1:05 PM and 3:52 PM? 167 How many minutes are there between 1:15 AM and 12:02 PM? 647 How many minutes are there between 6:50 PM and 7:28 PM? 38 What is 341 minutes before 12:39 AM? 6:58 PM How many minutes are there between 5:22 AM and 9:34 AM? 252 How many minutes are there between 7:37 AM and 10:15 AM? 158 What is 386 minutes after 1:21 AM? 7:47 AM How many minutes are there between 8:31 AM and 5:43 PM? 552 How many minutes are there between 5:56 AM and 2:46 PM? 530 How many minutes are there between 9:09 AM and 2:36 PM? 327 How many minutes are there between 12:49 AM and 1:56 AM? 67 How many minutes are there between 7:13 PM and 1:40 AM? 387 What is 44 minutes before 11:14 PM? 10:30 PM What is 470 minutes after 12:45 PM? 8:35 PM What is 185 minutes after 1:27 AM? 4:32 AM How many minutes are there between 6:52 AM and 9:42 AM? 170 What is 194 minutes before 4:44 AM? 1:30 AM What is 667 minutes before 8:51 PM? 9:44 AM What is 488 minutes before 7:23 PM? 11:15 AM What is 127 minutes after 5:46 AM? 7:53 AM How many minutes are there between 12:35 AM and 2:41 AM? 126 How many minutes are there between 7:03 PM and 6:23 AM? 680 What is 238 minutes after 3:40 AM? 7:38 AM What is 597 minutes before 8:13 AM? 10:16 PM What is 386 minutes before 12:54 PM? 6:28 AM How many minutes are there between 7:58 PM and 11:41 PM? 223 What is 231 minutes before 12:55 PM? 9:04 AM How many minutes are there between 8:27 AM and 4:51 PM? 504 What is 634 minutes before 2:24 PM? 3:50 AM How many minutes are there between 8:39 PM and 3:23 AM? 404 How many minutes are there between 6:00 AM and 11:20 AM? 320 What is 474 minutes after 5:40 PM? 1:34 AM What is 610 minutes aft
{ "pile_set_name": "DM Mathematics" }
8520803, 18520813? 10*b + 18520773 What is the c'th term of 60616244, 60616246, 60616250, 60616256, 60616264, 60616274? c**2 - c + 60616244 What is the n'th term of -364321, -728577, -1092833, -1457089, -1821345? -364256*n - 65 What is the m'th term of 8332, 16757, 25252, 33823, 42476? m**3 + 29*m**2 + 8331*m - 29 What is the g'th term of 483458, 966781, 1450104, 1933427, 2416750? 483323*g + 135 What is the l'th term of 22019, 88087, 198203, 352367, 550579? 22024*l**2 - 4*l - 1 What is the d'th term of 2295, 4593, 6883, 9171, 11463, 13765? d**3 - 10*d**2 + 2321*d - 17 What is the n'th term of 3284308, 3284305, 3284302, 3284299, 3284296, 3284293? -3*n + 3284311 What is the x'th term of -73728, -294924, -663600, -1179762, -1843416, -2654568, -3613224, -4719390? -x**3 - 73734*x**2 + 13*x - 6 What is the z'th term of 707111, 707048, 706985? -63*z + 707174 What is the t'th term of -894185, -894202, -894219, -894236? -17*t - 894168 What is the d'th term of 59336, 60311, 61288, 62267, 63248, 64231? d**2 + 972*d + 58363 What is the i'th term of -3069275, -3069276, -3069277, -3069278? -i - 3069274 What is the a'th term of 78660, 314685, 708062, 1258791? 78676*a**2 - 3*a - 13 What is the w'th term of 8318391, 16636802, 24955211, 33273618, 41592023? -w**2 + 8318414*w - 22 What is the r'th term of -1302, 3441, 11348, 22425, 36678, 54113? r**3 + 1576*r**2 + 8*r - 2887 What is the g'th term of -21345, -42721, -64093, -85461, -106825, -128185, -149541? 2*g**2 - 21382*g + 35 What is the h'th term of 1306185, 2612440, 3918693, 5224944, 6531193, 7837440? -h**2 + 1306258*h - 72 What is the b'th term of 1246071, 2492150, 3738229? 1246079*b - 8 What is the v'th term of -19991, -45052, -70113, -95174? -25061*v + 5070 What is the v'th term of 1018016, 2036034, 3054048, 4072058, 5090064, 6108066, 7126064? -2*v**2 + 1018024*v - 6 What is the j'th term of 128950321, 257900638, 386850955, 515801272, 644751589? 128950317*j + 4 What is the o'th term of -14422, -29292, -44162? -14870*o + 448 What is the y'th term of 317057, 2536838, 8561953, 20295068, 39638849, 68495962? 317111*y**3 + y**2 + y - 56 What is the w'th term of -31352, -125277, -281784, -500873? -31291*w**2 - 52*w - 9 What is the j'th term of -111758, -107671, -103584, -99497, -95410, -91323? 4087*j - 115845 What is the g'th term of 24495998, 24495995, 24495990, 24495983? -g**2 + 24495999 What is the q'th term of 405754275, 405754274, 405754273, 405754272, 405754271, 405754270? -q + 405754276 What is the p'th term of -1471112, -1471171, -1471230, -1471289? -59*p - 1471053 What is the b'th term of -81601000, -163202004, -244803010, -326404018, -408005028, -489606040? -b**2 - 81601001*b + 2 What is the t'th term of 196863, 197032, 197475, 198330, 199735? 23*t**3 - t**2 + 11*t + 196830 What is the r'th term of 23866, 95305, 214368, 381055, 595366? 23812*r**2 + 3*r + 51 What is the o'th term of 1038682, 2077404, 3116142, 4154902, 5193690? o**3 + 2*o**2 + 1038709*o - 30 What is the w'th term of -226463085, -452926172, -679389259, -905852346, -1132315433, -1358778520? -226463087*w + 2 What is the s'th term of -250832, -252969, -255106, -257243? -2137*s - 248695 What is the r'th term of 49609, 99386, 149163, 198940? 49777*r - 168 What is the y'th term of -120301, -120476, -120649, -120820, -120989, -121156? y**2 - 178*y - 120124 What is the k'th term of 2582426, 2582431, 2582436, 2582441? 5*k + 2582421 What is the n'th term of 6912, 6935, 6974, 7035, 7124, 7247, 7410, 7619? n**3 + 2*n**2 + 10*n + 6899 What is the v'th term of 43405, 87134, 130859, 174580, 218297, 262010, 305719? -2*v**2 + 43735*v - 328 What is the b'th term of -9570, -19365, -29352, -39531, -49902? -96*b**2 - 9507*b + 33 What is the f'th term of 7840, 7947, 8130, 8389, 8724? 38*f**2 - 7*f + 7809 What is the w'th term of 769, 1566, 2329, 3046, 3705? -2*w**3 - 5*w**2 + 826*w - 50 What is the x'th term of -20448776, -40897549, -61346322? -20448773*x - 3 What is the f'th term of -1037, -992, -907, -782? 20*f**2 - 15*f - 1042 What is the r'th term of -10568499, -10568472, -10568445, -10568418, -10568391? 27*r - 10568526 What is the k'th term of 476, 3587, 11838, 27731, 53768, 92451, 146282, 217763? 417*k**3 + 68*k**2 - 12*k + 3 What is the r'th term of 30014016, 60028032, 90042048? 30014016*r What is the s'th term of -204, -1861, -6450, -15465, -30400, -52749? -249*s**3 + 28*s**2 + 2*s + 15 What is the b'th term of 24887558, 24887623, 24887690, 24887759, 24887830, 24887903? b**2 + 62*b + 24887495 What is the s'th term of -35286149, -35286147, -35286145, -35286143, -35286141, -35286139? 2*s - 35286151 What is the v'th term of 7924, 5313, 958, -5141, -12984, -22571? -872*v**2 + 5*v + 8791 What is the f'th term of 40192, 80358, 120500, 160624, 200736, 240842, 280948? f**3 - 18*f**2 + 40213*f - 4 What is the d'th term of -917, -1869, -2887, -3971, -5121? -33*d**2 - 853*d - 31 What is the x'th term of 102540, 210312, 318084, 425856, 533628? 107772*x - 5232 What is the t'th term of -56206, -449481, -1516942, -3595681, -7022790, -12135361? -56182*t**3 - t**2 + 2*t - 25 What is the g'th term of -42546, -85379, -128212? -42833*g + 287 What is the k'th term of 49377, 98370, 147361, 196350? -k**2 + 48996*k + 382 What is the i'th term of -481166, -481345, -481520, -481691, -481858, -482021, -482180? 2*i**2 - 185*i - 480983 What is the a'th term of 417408, 1669596, 3756578, 6678354, 10434924? 417397*a**2 - 3*a + 14 What is the l'th term of -3230135, -12920523, -29071159, -51682037, -80753151, -116284495? l**3 - 3230130*l**2 - 5*l - 1 What is the o'th term of -23140, -92572, -208336, -370432, -578860? -23166*o**2 + 66*o - 40 What is the z'th term of -275850, -551707, -827574, -1103451, -1379338, -1655235, -1931142? -5*z**2 - 275842*z - 3 What is the b'th term of -6436, -11366, -16298, -21232, -26168, -31106, -36046? -b**2 - 4927*b - 1508 What is the n'th term of -18042207, -36084419, -54126631, -72168843? -18042212*n + 5 What is the d'th term of -79876, -79842, -79804, -79762, -79716, -79666, -79612? 2*d**2 + 28*d - 79906 What is the t'th term of -33050836, -33050833, -33050830? 3*t - 33050839 What is the d'th term of -8333, -32216, -72011, -127712, -199313, -286808, -390191, -509456? d**3 - 7962*d**2 - 4*d - 368 What is the m'th term of -773267, -773280, -773293, -773306? -13*m - 773254 What is the u'th term of 33260416, 33260403, 33260382, 33260353, 33260316, 33260271, 33260218? -4*u**2 - u + 33260421 What is the h'th term of 3766973, 15067847, 33902635, 60271337, 94173953? 3766957*h**2 + 3*h + 13 What is the b'th term of -1976, -1711, -1278, -683, 68, 969, 2014? -b**3 + 90*b**2 + 2*b - 2067 What is the o'th term of -62435, -56606, -50777, -44948, -39119? 5829*o - 68264 What is the b'th term of -34871, -139622, -314201, -558602, -872819, -1256846, -1710677, -2234306? b**3 - 34920*b**2 + 2*b + 46 What is the s'th term of 14056, 28084, 42174, 56356, 70660, 85116, 99754, 114604? 5*s**3 + s**2 + 13990*s + 60 What is the i'th term of -83365, -83406, -83481, -83596, -83757, -83970? -i**3 - 11*i**2 - i - 83352 What is the o'th term of 9554, 8002, 6448, 4892? -o**2 - 1549*o + 11104 What is the c'th term of 51965, 103916, 155867? 51951*c + 14 What is the q'th term of 496701, 496731, 496761, 496791, 496821? 30*q + 496671 What is the m'th term of 7113, 11322, 12631, 11040, 6549, -842? -1450*m**2 + 8559*m + 4 What is the t'th term of -339129, -678159, -1017175, -1356177, -1695165, -2034139? 7*t**2 - 339051*t - 85 What is the k'th term of 10178, 16955, 23732, 30509, 37286? 6777*k + 3401 What is the d'th term of -1331, -845, 457, 2983, 7141, 13339? 68*d**3 + 10*d - 1409 What is the z'th term of -3816629, -3816630, -3816631, -3816632, -3816633, -3816634? -z - 3816628 What is the k'th term of -16447, -33765, -51083, -68401? -17318*k + 871 What is the a'th term of 204798, 819181, 1843150, 3276705, 5119846, 7372573, 10034886? 204793*a**2 + 4*a + 1 What is the z'th term of 12644773, 12644771, 12644769, 12644767, 12644765? -2*z + 12644775 What is the o'th term of -4434537, -4434535, -4434533? 2*o - 4434539 What is the w'th term of -2965, -4860, -6737, -8590, -10413? w**3 + 3*w**2 - 1911*w - 1058 What is the w'th term of 11933, 24015, 36141, 48317, 60549, 72843, 85205, 97641? w**3 +
{ "pile_set_name": "DM Mathematics" }
0 = t - g + 8 + o for t. -5 Let p = -101 + 107. Solve 0 = -3*w + 2*z + p, -z = -3*w + 3*z for w. 4 Suppose -9 = -4*a + 3. Solve -10 = -3*y + 4*v - 3, 2*y - a = v for y. 1 Let c = 2 - 3. Let h = 1 - c. Solve -5*t - j = 10 + 13, -h*j = -4 for t. -5 Suppose -3*o - i + 40 = -o, 0 = 3*o - i - 60. Solve -4*k - 8 = -2*l - 6*k, 0 = -4*l - 5*k + o for l. 0 Let v be (-2)/(-4 + 2) + 69. Suppose o - 37 - 33 = -5*z, -5*o = -3*z + v. Solve -5*c + 15 = 3*f, 0*f + 5*c - z = -2*f for f. 0 Let u = -2 - 8. Let b be u/(-35) + 4/(-14). Let n = b - 0. Solve -3*v - 5*r + 1 = 0, 15 = 5*v - n*v - 5*r for v. 2 Suppose n = -s - 0 + 2, 0 = 3*n - 2*s - 16. Solve -3*a + n*o + 4 - 3 = 0, -5*a - 3*o + 21 = 0 for a. 3 Let q = 88 + -84. Solve -z + s + q = 10, z - 2*s = -9 for z. -3 Suppose -10*d + 6 = -44. Solve -d*i = -4*t - 20 - 1, -18 = 4*t - 2*i for t. -4 Let h be (-3 + -4)/(-2 - -1). Suppose h*v - 5 = 2*v. Let z = 2 + v. Solve -2*u = -4, -z*t = -0*t - 2*u + 1 for t. 1 Let k(r) = r**2 - 3*r - 1. Let w be k(4). Let d be w*(-1 - (-3 + 1)). Suppose 0 = -d*t + 5*t - 80. Solve -4*f + 3*j + j = -t, 4*f + j - 15 = 0 for f. 5 Let s(k) = k**3 - 2*k**2 - 3*k + 4. Let t = 4 + -1. Let o be s(t). Solve -o*q + 5*a = 23, -2*q = -4*a + 3*a + 7 for q. -2 Let q be 4/18 + 34/9. Let a be -3 + -8*((-60)/32)/5. Solve 0 = v - q, -4*v = -a*f + 5*f - 1 for f. -3 Let p be (-1 - -1) + 32*3. Let u be (-4)/10 - p/(-15). Suppose -5*b + 4 = -u. Solve 2*i - y - 1 = 0, y - 2*y = i - b for i. 1 Let x(k) = k**3 - 6*k**2 + 5*k. Let y be x(5). Solve l - 1 = b - 6, y = -b - 2*l + 5 for b. 5 Suppose 9*j - 54 = 27. Solve 5*t + j = t + 5*v, -t + 2*v - 6 = 0 for t. 4 Let w = 44 + -42. Solve 3*m + 22 = -w*m - 4*c, 0 = -2*m + 3*c + 5 for m. -2 Suppose -33 - 1 = -2*v. Suppose v - 63 = -4*h + u, 7 = h + 2*u. Solve q = -r - 0*r + 9, 0 = -3*q + r + h for q. 5 Let b be (-85)/(-10)*2 + -6. Solve -2*s = -5*r + b, 0 = -3*r + s + 6 - 0 for r. 1 Let a = 71 - 69. Solve 3*u = -b + 1, -b = -5*b + a*u - 10 for b. -2 Let m = -29 - -15. Let c(x) = -6*x**3 + 15*x - 11*x**2 - 8*x**3 + 13*x**3 - 2*x**2 + 20. Let h be c(m). Solve -9 = -3*k - 2*s, 2*s + 0*s = h for k. 1 Let w be (-6)/(-15)*40/16. Solve 5 = 3*b - 3*h - w, -3*h = 2*b + 21 for b. -3 Let v = -1 + 3. Suppose -5*g + x = -18, -g - v*x = 3*x + 12. Solve 0 = 5*q + 15, -6*a = -a + g*q + 19 for a. -2 Suppose 6*l - 9*l = -9. Solve 3*b - 3*i = l - 9, 3*b = i - 4 for b. -1 Let l(r) = 3*r - 1. Let p be l(2). Solve 5*n = n + 5*v + 13, -3*v = -p*n for n. -3 Let s(l) = -l - 9. Let r be s(-8). Suppose 0*x - 102 = -5*x - c, -x = c - 22. Let m = x - r. Solve -6*z + 3*z = -15, 4*d + z - m = 0 for d. 4 Let r = -3 - -1. Let o be (4 + -2)/r - -21. Solve -2*n - 3 = 2*c - n, 4*n + o = 0 for c. 1 Let c(u) = -5*u + 1. Let m(n) = -11*n + 1. Let i(f) = 13*c(f) - 6*m(f). Let d be i(-5). Solve 0 = 3*h + 5*t + 25, -13 = 4*h + d*t - 3 for h. 0 Let b(n) = -2*n**2 + 22*n + 29. Let f be b(12). Solve -1 = j - p, -5*j + j + 5*p = f for j. 0 Let v be 0 + (4/12*0)/(-2). Solve b - q = -1, -4*b + 5 = -v*b + 5*q for b. 0 Suppose 0*o = 3*o + 2*r - 36, 0 = 5*r. Suppose 0 = -3*m - 3*s + s + o, 3 = m + s. Solve y - 5*c = 6, -2*y + 4*c = -m - 0 for y. 1 Let m = 1 + -1. Let x be 0 - (m/(-2) - -2). Let c be ((-12)/x)/(-3) - -4. Solve 0 = -c*l - 3*k - 1, 7 = l + 8*k - 4*k for l. -5 Suppose 0*o - 2*k - 27 = -3*o, -3*k = 2*o - 18. Suppose -3 - o = -4*l. Solve 0 = l*v + 6, y = -4*y + 3*v + 21 for y. 3 Let j(d) = d**2 + 4*d - 4. Let g be j(-6). Let y(r) = -r - 5. Let b be y(-9). Solve 0 = -b*m - f + g, -5*f - 26 = -m - m for m. 3 Let x be (8/(-14))/((-2)/7). Solve 0*b + x*b = -4*i - 22, 0 = 3*b - i - 2 for b. -1 Let t(k) be the second derivative of -k**4/12 + k**3/6 - k**2/2 - 3*k. Let v be t(-2). Let x = v - -9. Solve -y + 13 = 4*z, x*z - 3*y = 3*z - 6 for z. 3 Suppose -20 = -4*o - 0. Let x be (-3)/(3*3/(-84)). Let l be x/15 + (-6)/(-45). Solve -o*u = -3*h + 15 + l, -5*u - 21 = h for u. -4 Let k = -91 - -95. Solve 2*d - 5*g + 29 = 7, -k*d + 12 = 4*g for d. -1 Suppose 0 = 5*l - 3*g - 9, 3*l - 9 = -4*g + 8. Solve 3*x + 2*j + l*j = 12, 5*j = 5*x + 20 for x. -1 Suppose 3 = -h + 26. Suppose g + 3*g = -5*m + h, 0 = 5*m + 3*g - 21. Solve -m*v - 2*v = -5*q - 40, -4*v = -5*q - 37 for q. -5 Suppose 3*y = 7 - 4. Suppose -5*p - y = -s, p + 3*s + 3 = 6. Suppose -48 = -p*u - 3*u. Solve -f - 4*v - 19 = v, f + 4*v = -u for f. -4 Let l(z) = -z**2 + 7*z + 12. Let c be l(8). Solve 5*q = u - 2 - 2, -5 = q + c*u for q. -1 Let h = 9 + -4. Suppose -2*k + h*y + 0*y = -95, 0 = 3*k - 3*y - 120. Suppose 5*a = 2*w + 20, 5*a + w - k = -0*a. Solve -3*o = -15, -o - a = 2*g - 3 for g. -4 Let q = -3 - -18. Suppose -5*i = 4*h - q + 1, -h = -4*i + 7. Solve 5 = 4*z - 3*a + 29, z + i*a - 5 = 0 for z. -3 Let j(m) = 6*m**2 + 6*m - 5. Let c be j(1). Solve -3 - 7 = -2*q - 2*z, 2*q - c = z for q. 4 Let w be (-9)/18*12/(-2). Suppose -w*p = -9, -4*x - x + 3*p + 41 = 0. Solve -5 = -q - 4*h + 3, -q - 5*h = -x for q. 0 Let l(b) = b - 2. Let s be l(6). Solve -18 = -s*g - 4*c - 6, -c = -3*g + 5 for g. 2 Let g = 9 + -3. Let b be -3*(-2 + 2/3). Suppose 2*d + b = 3*d. Solve 0 = -d*p + 5*i + 16, 3*p + i + g = p for p. -1 Let u = 6 - 4. Suppose 4*z - 4*s = -5*s + 15, 3 = 3*z - u*s. Let c = z + 1. Solve c*t + 9 - 25 = -5*h, -2*h + 4*t = 16 for h. 0 Let n be 2*(4 + (-11)/2). Let p be n*1 - (10 - 14). Solve -g - p + 3 = 3*q, -3*g = 3*q for g. -1 Suppose 0 = 3*y - 1 - 2. Suppose 3*r + y - 13 = 0. Solve r*s - 20 = 0, 0 = 3*l - s - 1 + 18 for l. -4 Let o(y) = -y + 3. Let u be o(-6). Let r(j) = -j**2 - 13*j + 34. Let v be r(-15). Solve 2*t + 2*k = 5*k - 17, -k = -v*t - u for t. -1 Let s be 12/(-20) + 13/5. Suppose -s*d = -6*d. Solve d = -4*o + 4*j + 16, -2*j + 6 + 1 = 3*o for o. 3 Let w be 1 + (3 + -5 - -5). Solve 12 = 3*a + 3*y, w*a = 3*a - 2*y + 3 for a. 5 Suppose 2*l = -1 + 5. Suppose -2*s + l = -8. Let t = 0 + 1. Solve 2*u + 23 = 3*j, -3*j + s*u + 36 = t for j. 5 Let b be 6/8 - (-5)/4. Let q = 1 - -1. Solve -w - 4*z = -q, 3*z = -w - 0*z + b for w. 2 Let u be 8/2 - (9 + -5). Solve u*d - d + 11 = -3*p, 2*d - 7 = 3*p for p. -5 Suppose 0 = -3*y - 2*d + 6, 5*d + 35 = 3*y + 2*y. Let g(q) = -2*q - 11. Let s be g(-9). Suppose s = u - 5. Solve -2*n = -0*h + 4*h + u, y*h + 8 = 0 for n. -2 Let x be 1*2*8/(-4). Let j be (-1 - -3)/(x/(-10)). Let u = -3 + j. Solve -i - 3*i - u*f - 6 = 0, -3*i = 2*f + 3 for i. -3 Suppose -5*u + 4*u + 17 = c, 2*c - 5*u = 41. Suppose 0*m = 3*m - 5*r - c, -5*r = 0. Solve 0 = q + 3*z - m, q - 8 = -q - 4*z for q. 0 Suppose -2*i - i = 5*b, 0 = -5*i + 2*b - 31. Let d be (3 + -4)/1 - i. Solve 5*n - z = -8, -2*z - d = -0 for n. -2 Suppose 12 = 4*u - 12. Suppose 16 = -2*w + u*w. Suppose 6*h = w*h + 6. Solve -3*y + 3 = 3*x, -3*x = -h*y + x + 17 for y. 3 Let w(f) = 2*f**2 - 8*f + 3. Let b be w(4). Solve -16 = -4*s - y - 0*y, -24 = -4*s - b*y for s. 3 Let r(w) = w**2 + 2*w + 3. Let u be r(-2). Suppose 0 = -5*g + 2*g - u. Let j be 10*-2*g/4. Solve -j*s + y + 11 + 10 = 0, -5*s + 29 = y for s. 5 Suppose -4*k + 25 = x, 5*x = -3*k + 2*x + 30. Let a = 2 - k. Let h be 3/(-4)*12/a. Solve -p = 3*p + 5*v - 5, 5 = h*p + 4*v for p. -5 Suppose 6*h + h = 21. Solve -h*r + 3*c + 6 = 0, 2*r - 6 = -r + 2*c for r. 2 Let i be -3 - (1 + -3 + -3). Solve -s = -d - i, d + d = s for d. 2 Let x be (-11 + -1)/(14/(-7)). Solve k + 3*v + 10 = 2*k, -3*v - x = 0 for k. 4 Let x be 0 + 9*2/6. Solve 4*q + x*h = -17, 14 = -q - 2*h - 2*h for q. -2 Suppose 4*g = -o - 0*o + 3, -4*g = -5*o - 33. Solve 3*u = -2*m + 7*m - 14, -g*u - 2*m = 4 for u. -3 Suppose 5*g = -3*j - 2, -g + 14 = j - 3*g. Suppose -12 = -j*t + 3*t. Solve -m = o + 3, 3*m + t = -2*o - m for o. -4 Let j be 1 + (-2 - 1) + 8. Let z be 6 + (-1 - 3) + 0. Suppose -z*v + j = -2. Solve 3*y + 8 = -v*k - 11, -y - 5*k = 10 for y. -5 Suppose -2*c = 3*c - 85. Suppose 3*i - 10 - 2 = 0. Let j be 12 + 1*(2 - 2). Solve -3*x - j = n, x - c = 2*x - i*n for x. -5 Let a = -11 + 14. Suppose 0 = -q - 3*l - 0 - 6, -10 = a*q + 5*l. Solve 2*o - 16 = -5*m - q, -5*m + 12 = 4*o for m. 4 Suppose 16 + 8 = 8*r. Solve i = 2*t + 4, -2*i - 4 = -r*i - 3*t for i. 4 Let a be (-3)/(-3 - (2 + -4)). Suppose 0 = -q + a*q - 8. Suppose 1 = -q*d - 3*r + 13, -5*d - 2*r + 22 = 0. Solve 3 = -z - 2*m, -d*z + 4*m - 12 = -2*z for z. -3 Let k = -41 - -45. Solve -w + 4 = -k*d - 2, 2*d = 2*w for
{ "pile_set_name": "DM Mathematics" }
- -9. Calculate h(f). 2 Let l(v) be the third derivative of v**5/30 - 5*v**4/24 - 6*v**2. Give l(4). 12 Let r = 2 - 4. Let l = r - 1. Let f(u) be the first derivative of u**2 + 4*u - 2. Calculate f(l). -2 Let p(i) = -2*i - 6 - 16 + 25. Suppose 0*t + t = 2. Calculate p(t). -1 Let s(n) be the first derivative of 2*n**3/3 - 3*n**2/2 + 4*n + 3. Determine s(3). 13 Let q(h) = 5*h - 5. Suppose -3*c - 2 = -4*c. Let r be q(c). Let a(u) = -2*u - 10. Let p(s) = -3*s - 20. Let j(n) = 5*a(n) - 3*p(n). Determine j(r). 5 Let k(i) be the third derivative of -i**6/120 - i**5/12 + i**4/24 + 3*i**2 + 3*i. Give k(-4). -20 Let t be (-4 + 7)*4/6. Let c be 2 + -2 + t + -1. Let v(j) be the third derivative of -j**6/24 - j**5/60 - j**2. What is v(c)? -6 Let a(p) be the first derivative of 11*p**2/2 - p + 3. Let b(g) = -11*g + 1. Let m(v) = -7*a(v) - 6*b(v). Determine m(1). -10 Let o be 5/10*(0 + -24). Let k = 4 + o. Let s = -5 - k. Let a(t) = t**3 - 2*t**2 - 2*t - 3. Give a(s). 0 Let o(f) = 0*f**2 - 6 + 5 - 29*f + 22*f + 2*f**2. Determine o(5). 14 Let a(m) be the first derivative of m**4/4 + 5*m**3/3 + m**2 + 2*m + 1. Suppose 0 = 2*q + i - 3*i + 32, -5*q - 68 = i. Let t be q/21*(-3)/(-1). Calculate a(t). 10 Let t = -18 - -19. Let r(o) = -4*o. Calculate r(t). -4 Let b(v) be the first derivative of 1 - 1/4*v**4 + 0*v**2 + v**3 + 4*v. Give b(3). 4 Let w(n) = -n**2 - 3*n + 1. Let h = 6 - 0. Let a = 3 - h. Calculate w(a). 1 Let n = -16 + 6. Let f be 10/4*8/n. Let t = -2 + f. Let p(o) = -o**3 - 5*o**2 - 4*o - 1. What is p(t)? -1 Suppose -2*j = 8, -2*k - 2*k = 3*j + 4. Let c be k + (2 - -1) + -1. Let i(u) = -2*u + c*u + u**2 + 3*u + 3. Give i(-4). -1 Suppose -5*l + 10 = -0*l. Let k(h) = h**3 + 3 - 4*h + 1 + l - 3*h**2. Give k(4). 6 Let b be -4 - (-1 - (2 + -3)). Let t(l) be the third derivative of -1/120*l**6 + 0 - 1/12*l**5 - l**2 - 1/6*l**3 + 0*l - 1/6*l**4. Calculate t(b). -1 Let z(p) = p**2 + 1. Let g(m) = 2*m**2 + 7*m - 5. Let q(f) = -f**2 - 4*f + 3. Let s(i) = -4*g(i) - 7*q(i). Let b(c) = -2*s(c) - z(c). What is b(-3)? 10 Let o(q) be the third derivative of q**7/2520 - 7*q**5/120 + q**4/24 + q**2. Let l(g) be the second derivative of o(g). Suppose 2*c = -2*c. Calculate l(c). -7 Let m be (-1 - 14/(-18)) + 56/9. Let c(w) = w**3 - 5*w**2 - 7*w + 4. Give c(m). -2 Let g be 1/(-2)*-3*2. Let d(p) = -6*p + 3. What is d(g)? -15 Let c(l) be the second derivative of l**3/6 + 7*l**2/2 + 19*l. Give c(-4). 3 Let w(a) = -7*a + 1. Let b = 0 + 3. Suppose 2 = -b*c + 5*c. Calculate w(c). -6 Let x be 12/21 + (-20)/(-14). Let s(v) = 2*v + 7 + 0*v - x*v + 3*v. Give s(-5). -8 Suppose 0*d + 3*d - 15 = 0. Let r(u) = d - 2 + u - 2. Let a(p) = p**3 - p**2 - 3*p + 2. Let f be a(2). Give r(f). 1 Let g = 0 - 0. Suppose -4*i + 4 = -q + 1, 3*i - 2*q = 1. Let k(t) = 5 - i + 0*t + t. What is k(g)? 4 Let o(s) = s**2 - s. Let t(u) = 5*u**2 - 7*u - 4. Let q(m) = -6*o(m) + t(m). Give q(-3). -10 Let f(s) = -s**3 + 3*s**2 - 3*s + 3. Let c be (12/(-8))/((-6)/8). Let x = c + 0. Determine f(x). 1 Let v = 21 + -17. Let x(h) be the first derivative of 0*h**2 + 1/4*h**v + 1 + 2*h + 5/3*h**3. Give x(-5). 2 Let v(f) = f**3 - 6*f**2 + 5*f + 4. Suppose i + 0*i + 3*q + 19 = 0, 5*i - q = -15. Let m = 9 + i. Calculate v(m). 4 Suppose 2*v - 4*v - 6 = 0. Let l = v - -5. Let f(y) = y**l + 0*y + 1 + 6*y + 1. Determine f(-3). -7 Let x(w) = -2*w - 1. Suppose -5*v + 7 = 22. Calculate x(v). 5 Let w be 1/2 - (-5)/(-2). Let y = 2 + w. Let m be (0 - -3)*(y + 1). Let c(x) = x**3 - 5*x**2 + 3*x + 4. Give c(m). -5 Suppose -u = -2*p + 6 + 1, 0 = -2*p + 10. Let t(j) = 3*j + 4. Determine t(u). 13 Suppose 0*w - 9 = -3*w. Suppose -w*x + 6*x = 0. Let c(b) = -b - 4. Give c(x). -4 Let z(d) = -6 + 2 - 5*d + 2. Let g(c) = 4*c + 1. Let x(b) = -3*g(b) - 2*z(b). What is x(1)? -1 Let p be (-4 - -10)*(2 + -1). Let j(u) = u**3 + 2 + 5*u - 1 + 0*u**3 - p*u**2. Suppose 5*t = 10 + 15. Determine j(t). 1 Suppose -18 = -p - 23. Let q(u) = 4*u + 4. Determine q(p). -16 Let w = 5 + -1. Let i(l) = -2*l + 3. Suppose 4*r = 27 + 17. Let t(j) = 10*j - 16. Let n(z) = r*i(z) + 2*t(z). Determine n(w). -7 Let t(y) = y**3 - y**2 - 5*y + 3. Suppose -34 + 9 = -5*w. Let a = w + 0. Suppose -5 = -i + o, 2*i = i + a*o + 13. Give t(i). 6 Let n = 12 - 14. Let m(v) = -3*v - 5*v**2 + 0 + 3*v**2 + 6*v**3 - 2 - 5*v**3. Calculate m(n). -12 Let f(i) = -4 - 3*i + i**3 - 6*i**2 + i**2 + 4*i + 0*i. Give f(5). 1 Let u(p) be the first derivative of -p**4/4 + p**3/3 + p - 28. Let m be -1 - -1 - (-15)/5. Suppose 2*d - 11 = -4*y + m*d, 0 = 3*y + 4*d + 6. Calculate u(y). -3 Suppose z + 7 = 2. Let t(l) = 2 - l**3 - 3 - 4 - 6*l**2 - 5*l. Determine t(z). -5 Let u(w) = -w**2 + 3*w + 1. Let p be (-2 + 1)*(6 + 1). Let g = -5 - p. Suppose -2*s + g = -4. Give u(s). 1 Let j(u) = -u**3 + 4*u**2 + 4*u - 5. Let w = -3 - -7. Let v be 1/w - (-2)/(-8). Suppose v = 3*z - 3*f - 30, z + 30 = 6*z - f. Determine j(z). -10 Let y(d) = -d**3 - 4*d**2 + 7*d - 2. Suppose -5*c + 2 = 27. Calculate y(c). -12 Let a(s) = -2 + 1 + 19*s - 17*s. Determine a(2). 3 Let g(l) be the second derivative of -l**8/6720 + l**7/504 - l**5/20 - 5*l**4/12 - 3*l. Let o(m) be the third derivative of g(m). Determine o(5). -6 Let t be -6 + (-48)/(-9) + (-19)/3. Let l(c) = -c**2 - 4*c + 3. Calculate l(t). -18 Let d(g) = -g**3 + 3*g**2 + 2*g - 1. Suppose -2 + 18 = 8*f. Give d(f). 7 Let s(h) be the second derivative of h**3 + h**2 + 14*h. Give s(2). 14 Let j = -17 - -22. Let h(x) = x + 3. Calculate h(j). 8 Let h(m) = -10*m**3 - m. Let q be h(-1). Suppose -4*x = -4 - 4. Suppose x*i = 3*o + q + 4, 5*i = 2*o + 10. Let j(y) = -y + 3. What is j(i)? 3 Let n(s) = -s**3 - 5*s**2 + s + 3. Suppose 10 = 2*r - 4*r. Calculate n(r). -2 Let z(v) be the first derivative of v**3/3 - 7*v**2/2 + 4*v - 48. Let f(b) = 2*b - 7. Let a be f(6). What is z(a)? -6 Let i(p) = -3*p - 4. Let a(t) = 10*t + 12. Let b(n) = -5*a(n) - 16*i(n). What is b(-4)? 12 Let f(t) be the third derivative of t**4/12 + t**3/3 - 8*t**2. Determine f(-2). -2 Let d(c) = 3*c**3 + 8*c**2 - 4*c. Let h(q) = 8*q**3 + 25*q**2 - 11*q. Let b(m) = 11*d(m) - 4*h(m). What is b(12)? 0 Let h(n) = 2 + 2*n**2 - 1 - 2 + 3*n**3 - 9*n**3. What is h(1)? -5 Suppose 5*o = -3*p - 13, p = 2*o - 0*o - 8. Let g(h) = -1 - 6*h**2 - 8*h - h**3 + h - h**2 + 0*h. Determine g(p). 5 Let c = -14 - -20. Let t(h) = -h + 2. Let o(l) = -4*l + 7. Let m(i) = c*o(i) - 21*t(i). Give m(-1). 3 Let k(r) = r - 8. Suppose 15 = 3*s - 0*s + 2*m, 5*m - 15 = 0. Suppose 3*n - 8 = 4*g + s, -n = -g - 3. Let f = n + 3. Calculate k(f). -4 Let z(q) be the first derivative of q**3/3 + 3*q**2/2 - q - 1. Let j be 8/(-28) - 132/(-21). Let h = -9 + j. Determine z(h). -1 Let w(m) = -6*m + 0*m + 5*m. Determine w(3). -3 Let q(r) = -2*r + 15. Let y(d) = d - 7. Let j(p) = 2*q(p) + 5*y(p). Calculate j(5). 0 Let u(p) = 5*p**3 - 17*p**2 - 5*p - 5. Let z(q) = -2*q**3 + 6*q**2 + 2*q + 2. Let i(l) = 3*u(l) + 8*z(l). Suppose 11 = -4*r - 1. What is i(r)? -2 Let p(y) = -4 - 3 - 2*y + y + 0*y. Suppose 0*j - 8*j - 40 = 0. What is p(j)? -2 Let y(a) = 2*a + 26. Let p(d) = -d - 13. Let l(z) = -9*p(z) - 4*y(z). Let q = 23 + -30. Give l(q). 6 Let v(x) = -x**3 - x**2 + 3*x - 3. Let b(c) = -c - 1. Let h be b(-1). Suppose -m = -a + 2, -5*m + 0*m + 2*a - 13 = 0. Let f be (1 + h)/(m/9). What is v(f)? 6 Let c(t) = -t**2 - 6*t + 10. Let i be c(-7). Suppose -2*m - 2*l - 18 = -7*l, -i*l = 4*m + 10. Let d(p) = p**3 + 3*p**2 - 6*p - 6. What is d(m)? 2 Let x(o) be the second derivative of o**4/12 + 7*o**3/6 + 3*o**2/2 + 7*o. Give x(-7). 3 Let t(q) = -6*q**2 - 4*q + 4. Let g(i) = -5*i**2 - 4*i + 4. Let y(o) = 7*g(o) - 6*t(o). What is y(3)? 1 Suppose -6*h = -2*h - 20. Let p = h + 0. Let q(a) = -9*a + 1 + p*a - 5*a. What is q(1)? -8 Let s(b) = -b**3 - 4*b**2 - 2*b + 2. Suppose -7*j + 6 = -10*j. Determine s(j). -2 Suppose 0 = -7*y - 6*y - 65. Let o(z) = -z**2 - 5*z + 5. Determine o(y). 5 Let w be (-3)/(1 - 4) - -2. Let b(z) = z**2 + z. Let k(x) = -4*x**2 - 2*x + 5. Let j(m) = w*b(m) + k(m). Give j(4). -7 Let o = -26 - -16. Let x(m) = -m**2 - 9*m + 11. Let w be x(o). Let k(j) = 5*j**3. Give k(w). 5 Suppose 2*z = 4*d + 20, 5*d + 40 = -z - 4*z. Let k(n) = n**2 + 6*n - 8. Give k(d). -8 Let k(h) = -h**2 + 6*h + 5. Let u be 0 - (-148)/28 - (-6)/(-21). Calculate k(u). 10 Let p(w) = w - 18. L
{ "pile_set_name": "DM Mathematics" }
(c) 4 b Suppose 2*j - 6 + 4 = 0. Let r be (-8)/12*j/(-2). Let l be (-6)/5*(-2)/4. Which is the nearest to 0.1? (a) 4/3 (b) r (c) l b Suppose 0 = 2*n - 2*w - 0 - 10, 5*w = -2*n + 17. Let d be (n/15)/((-6)/(-9)). Let q = -2.8 - 0.2. Which is the nearest to q? (a) 0.1 (b) -0.4 (c) d b Suppose 2*y - 14 = -2*w - 0*w, -4*w + 19 = y. Let l be (12/(-3))/4 + 9/6. What is the nearest to -0.1 in l, w, -3? l Let v = -0.1 - -0.3. Let r = -2/55 - -63/220. What is the closest to -1/3 in r, -0.3, v? -0.3 Let f = -0.022 - -0.022. What is the nearest to f in -0.4, -4, 9? -0.4 Let m(f) = f**2 - 12*f + 10. Let j be m(12). Let g be 42/j + 5/(-25). Which is the nearest to 1/3? (a) 0.3 (b) g (c) 2 a Let b = 376/9 - 42. What is the nearest to 1 in b, 4, -1? b Let j = -499529963/1773 - -281743. Let k = -2/197 - j. Let i be (-13)/20 - (-2)/5. Which is the nearest to i? (a) 1/5 (b) k (c) 3 b Let r(v) = v**3 - 12*v**2 - 12*v - 11. Let b be r(13). What is the nearest to b in 0.1, 0.4, -4? 0.4 Let g = 13/55 + -7/11. Let h = -3 - -4. Let d = h + -0.8. Which is the closest to 0? (a) g (b) 5 (c) d c Let s = -0.3 + 0.31. Let t = s + -2.01. Let o = 2.21 + -0.21. What is the nearest to t in 0.4, -0.3, o? -0.3 Let s = -3 + 4. Let n = -1.1 + 0.8. What is the closest to -2 in 2, s, n? n Let z = -0.048 + -2.852. Let k = z + 3. What is the closest to -2 in 4, -4, k? -4 Let b(q) be the third derivative of -q**5/60 + q**4/6 + 7*q**3/6 + q**2. Let f be b(5). Let m be (2 + -1)/((-14)/f). What is the closest to -0.1 in 0.2, m, 2/7? m Let p = -0.018 + 0.018. Which is the closest to p? (a) -3/2 (b) 1/2 (c) -1/3 c Suppose -3*s = s - 796. Let u = 2191/11 - s. Let o(g) = -g**2 - 8*g - 6. Let n be o(-7). What is the nearest to n in -1, 0.4, u? 0.4 Let k = -0.047 + -0.453. Which is the closest to -0.1? (a) 3/8 (b) 2/17 (c) k b Suppose -3*g + 5*l = -22, -4*g + 8 = -7*g - l. What is the nearest to -0.2 in -7, 0.2, g? 0.2 Let h = -3.7 + 3.9. What is the nearest to 1 in 0.3, h, 0? 0.3 Let q = -0.37 + 0.07. Which is the closest to 1? (a) -2/3 (b) q (c) -0.1 c Let q = 0.1 - 0.07. Let s = 1.03 - q. What is the nearest to s in -0.4, -2, -4? -0.4 Let t be 4/9*6/(-4). What is the nearest to t in 2, -4, -2/19? -2/19 Let l(r) = r. Let t be l(1). Suppose 0 = -2*x - 0*x + 32. Let n = -13 + x. Which is the nearest to t? (a) -4 (b) n (c) 5 b Let x = 6.3 + -1.3. Let w = -1.5 - -1.6. Suppose 1 = o - 0. What is the nearest to w in 1/2, o, x? 1/2 Let u = 67 - 66.8. What is the nearest to -0.1 in u, -1/4, 8? -1/4 Let g = -10.8 + 10. Let r = g + 0.8. Which is the nearest to -2/5? (a) 4 (b) -4 (c) r c Let j = -0.2 - 0.8. Let p = j + 0.9. Let o = 0.24 - -0.06. What is the closest to p in -3/4, 0, o? 0 Suppose x + p = 3 - 0, 0 = -x - 5*p - 5. Which is the nearest to -0.1? (a) 0.1 (b) x (c) -1/6 c Let q be (6/10)/(3/(-2)). Let h = -25 - -21. What is the closest to q in 1/5, 0.3, h? 1/5 Let x = -0.4 + 3.4. Let k = 0.3 + -0.23. Let s = k - -0.03. What is the closest to s in x, -1/2, 0.4? 0.4 Suppose -2*z - 9 = z. Let w = -1 - -1. Which is the nearest to z? (a) 0.4 (b) -3 (c) w b Let z = -1/51 + -11/17. Let j = 4.6 + -5. What is the closest to -1/4 in z, -3, j? j Let d be -2 + 3 + (-2 - (-32)/28). Let g = 802/9 + -89. Let x = 2 + -3. Which is the nearest to 0.1? (a) d (b) x (c) g c Let k be (-2)/(-10) - 19/(-5). Let r be k/(-10) - (-1)/15. Let v be ((-6)/(-4))/(12/(-16)). Which is the nearest to r? (a) v (b) -0.2 (c) 3 b Let g = 16.3 - 20.3. Which is the nearest to 1? (a) g (b) 0.3 (c) 5 b Let v = -3 + 2. Let g = -1.04 - -0.04. Which is the nearest to v? (a) 1 (b) g (c) 5 b Let z = 4 - 3. Let g = -1.6 + z. Let n = g + 0.4. What is the nearest to 1 in -1, 5, n? n Let q = 5.8 + -5.3. What is the closest to -1 in -2, q, 2? -2 Let m = 0.25 + -0.15. What is the closest to m in 4, 0, 15? 0 Let f = -1.028 + 0.028. Which is the closest to f? (a) -2 (b) -0.5 (c) 2 b Let h = 1.76 - -0.24. What is the nearest to -0.3 in 3, -1, h? -1 Let q = -7.5 + 7.4. Which is the closest to -0.1? (a) q (b) 8 (c) 0.4 a Let l = 101/2 + -53. Let s = 2 + l. Let y = 2 + -2. Which is the closest to y? (a) s (b) 4 (c) -1/4 c Let h be ((-19)/15 - -1)*-3. Let t = -0.2 - -0.2. Which is the nearest to t? (a) h (b) 5 (c) 3/5 c Let g = 0.7 - 0. Let z = g - 0.9. Let x = 1.1 + -6.1. Which is the closest to -1? (a) z (b) 0 (c) x a Let c be (-18)/(-12)*(-20)/75. What is the nearest to -4/7 in -1/6, c, -3? c Let l = 2/76985 + 27406462/7621515. Let z = -34/9 + l. Which is the closest to 0.1? (a) 4 (b) z (c) 0 c Suppose 3*x + x - 41 = 3*v, -12 = 4*v. Let g = 5 - x. Let w = -4 - g. Which is the nearest to w? (a) 2/9 (b) 3 (c) 0.4 a Let u be 10/(-28)*2 + 1. Let f = 10 + -6. Let y = 0.329 + -0.029. Which is the closest to 2/7? (a) f (b) u (c) y b Let d be (11/3)/((-18)/27). Let a = d + 21/4. What is the closest to a in -2, -4, 5/2? -2 Let t = 15.5 + -15. What is the closest to 1/4 in -2, -3/4, t? t Let j = 25 - 18. Let v be -3 + 4 + (-9)/j. Which is the closest to -0.1? (a) -0.1 (b) v (c) -0.5 a Let b = -107 + 747/7. Let l = 0.7 + -1. Let g = l + 0.2. What is the closest to g in 0.3, 5, b? b Let f = -15.1 + 15. Suppose p + 4*x - 10 = -p, -3*x = 2*p - 8. Let o = 0 + p. Which is the closest to o? (a) f (b) 3/2 (c) -1 b Let c = 0 - 2. Let q be -3*(-2)/(-6)*c. Let n be 1/(-3) + q/6. What is the nearest to 1 in 0.4, n, -1/8? 0.4 Let r = -0.2 + -0.3. Let u = -61 - -60. What is the nearest to 1 in 5, r, u? r Let u be 4/16*2*-2. Which is the closest to 0? (a) u (b) -0.2 (c) -14 b Let l = -63.6 + 64. What is the closest to 2 in 3, l, -2/5? 3 Let m = -61/35 - -8/7. Let l = -0.06 - 3.94. Let h = l + 3.6. Which is the closest to 1? (a) h (b) 1/3 (c) m b Suppose k - 4*m = 16, 0 = 3*k - 3*m - 0*m - 12. Let g = -0.12 - -2.22. Let o = g + -1.1. Which is the nearest to k? (a) 0.1 (b) o (c) -3 a Let l = 46.3 + -46. What is the closest to 1/3 in -1, 2/3, l? l Let z = -536 - -539. Let v = 0.8 + -1. Which is the closest to v? (a) 5 (b) z (c) 1/7 c Let x = -5 + 4.6. Let f = 3.9 - 4. Let m = 7 + -12. Which is the closest to f? (a) x (b) 3 (c) m a Let o be -2 - -3 - 66/78. Let v = 6 - 5.7. Let l = -0.7 - v. Which is the closest to l? (a) 1/2 (b) o (c) 0.1 c Let q = 22 - 26. What is the closest to -1/4 in q, 1, 0.4? 0.4 Let f = -1.48 + 1.58. Let t be (-1)/(2/(1 - -1)). Let r = t + 4. Which is the closest to f? (a) r (b) -3 (c) 1/2 c Let r be (-6)/(((-16)/2)/(-4)). Let c be (1/(-5))/((-1)/3). Let f be (2/(-20))/((-4)/(-10)). What is the nearest to -2/3 in r, f, c? f Let d = -2.939 - 0.011. Let p = -0.05 + d. Let z = -34/3 - -11. Which is the nearest to -2? (a) -1/4 (b) p (c) z b Let t = -17 - -18. Which is the closest to t? (a) 0.1 (b) -0.5 (c) 4 a Let c be 2/90 + (-1)/(-9). What is the nearest to -1/4 in -1, 0.3, c? c Let q = -0.1 + 0.3. Let i be 3/(-7)*2/3. What is the closest to q in -2, i, -0.5? i Let k = -238 - -2616/11. What is the nearest to 0 in k, -2, -6? k Let z be (-1)/6 - (-2 + 2). Suppose -2*q + 3*d + 8 = 7*d, 5*q + 3*d - 6 = 0. Which is the nearest to 0? (a) 0.2 (b) z (c) q c Let b = -0.2 + 0.2. Let m = -141/40 - -17/5. What is the nearest to 1 in m, b, -0.2? b Let r = -18 + 17. Let o = -3 + 3. Let p = 3 - o. Which is the nearest to -1/2? (a) -0.5 (b) r (c) p a Let g be ((-30)/(-4))/(-3)*(-4)/(-40). Let i = -0.8 - 0.2. Let o = i + -2. What is the closest to -1 in o, g, -0.3? -0.3 Let n = 2 - 1.9. Let v = 51 + -54. Which is the nearest to -0.2? (a) -4 (b) n (c) v b Let q = 2.8 - 3.2. Which is the closest to 0? (a) 11 (b) q (c) 3 b Let p be -3 + 8/12 - -2. Which is the nearest to -1? (a) 1/2 (b) p (c) 2/5 b Let a = 1.05 - 0.05. Let t be (2/(-8))/(4/(-8)). What is the closest to a in t, 3, 2/7? t Suppose -5*z - 2*y - 16 = 2*y, -20 = -5*z + 5*y. Let p = 0.77 + -0.07. Let x = 0.4 - p. What is the closest to z in x, -1/2, 2/9? 2/9 Let m be (1 - 0) + 10/(-6). What is the nearest to 1 in -1.5, -0.4, m? -0.4 Let l be 7*((-124)/(-7) + 2). Let x = l + -555/4. Let u(m) = -m**2 + 7*m - 8. Let n be u(6). Which is the closest to -1/3? (a) x (b) -3 (c) n a Let g = 1/165 - -1153/330. Let h = g + -25/6. Let z = 2 + -1.5. Which is the nearest to 0.2? (a) z (b) -0.5 (c) h a
{ "pile_set_name": "DM Mathematics" }
e Suppose 0 = 3*y + 3*j - 15, 2*y - 2*j = 13 + 13. Does 9 divide y? True Let b(q) = 4*q**2 + 4*q + q**3 + q**3 + 2 - 2*q. Let u be b(-3). Let j = u - -54. Does 16 divide j? True Let r(p) = p**2 - 4*p - 8. Let i be r(6). Suppose 0 = -n - i*n + 75. Does 15 divide n? True Is 18 a factor of ((-54)/4)/((-2)/((-16)/(-3)))? True Let z = 26 - 24. Suppose 87 = z*w + w. Is w a multiple of 11? False Let s(w) = w + 3. Let l be s(5). Let j(v) = -v**2 - 6*v - 4. Let f be j(-4). Suppose f = g - l. Does 9 divide g? False Let s(z) = 2*z + 4. Let y be s(4). Does 10 divide 5/30 - (-346)/y? False Let j(y) = y**3 + 7*y**2 + 4*y - 7. Let u be j(-6). Suppose -2*o - 1 + u = 0. Suppose -3*c + o*c + 4*d + 28 = 0, -5*c + d + 102 = 0. Is 7 a factor of c? False Suppose 4*v + 4 = -4. Let y be v/4 + (-18)/(-12). Is (16/12)/(y/12) a multiple of 7? False Let h(s) = 21*s - 3. Let b(o) = -20*o + 2. Let u(m) = -4*b(m) - 3*h(m). Let p(w) = -2*w - 1. Let y be p(-1). Is 11 a factor of u(y)? False Let a(g) = -29*g**3 + g**2. Suppose 4*i = 2*d + 6, 4*i - d = 3*d + 8. Let f be (0 + i)*(-6 - -5). Does 11 divide a(f)? False Let z(r) = r + 3. Let u be z(9). Is 3/(((-21)/u)/(-7)) a multiple of 9? False Let o(x) be the first derivative of -15*x**2/2 - 3*x + 2. Let p be o(-2). Is 129/p + (-2)/(-9) a multiple of 5? True Let j = 4 - -2. Let r be 0*(9/j - 2). Suppose r = 3*y - y - 38. Is y a multiple of 10? False Let g(k) = -42*k - 3. Let o be g(-2). Suppose 9 - o = 4*d. Let i = 0 - d. Does 7 divide i? False Suppose 2*d - 277 = -3*k, 2*k = 5*d - 431 - 271. Does 10 divide d? True Let s be (-294)/63*(-3)/2. Let u(b) = -b**2 + 10*b + 16. Does 37 divide u(s)? True Let j(n) = -9*n. Let k(q) = 10*q. Let m(d) = -d**2 - 4*d - 1. Let p be m(-5). Let z(y) = p*k(y) - 7*j(y). Is 6 a factor of z(2)? True Let o(r) = -29*r - 3. Let b(i) = 15*i + 1. Let x(k) = 9*b(k) + 4*o(k). Suppose -5*m = 2*t - 16, -3*m - 2*t + 14 = m. Does 14 divide x(m)? False Let k be (2/(-2))/((-2)/(-14)). Is 3 a factor of k/(-2)*(1 - -1)? False Let l = 56 + -30. Does 6 divide l? False Let y = 2 - 0. Suppose 0*h + 4*h = -2*l, -3*l + y*h = -16. Suppose 2 + l = f. Is 3 a factor of f? True Let u(a) = -a**2 + a - 1. Let h(d) = -d**3 - d**2 - 11*d + 7. Let l be (-1 - -1) + 2 - 8. Let n(c) = l*u(c) - h(c). Is 3 a factor of n(-6)? False Let j = 464 + -996. Let w = j + 767. Suppose -2*g + w = 3*g. Does 12 divide g? False Let p(q) = q**2 - 153. Let x be p(0). Is (x/(-3))/(0 + 1) a multiple of 16? False Let m(s) = -2*s + 35. Let g be m(0). Does 15 divide 4/14 - (-1215)/g? False Suppose 6 = v + v. Suppose 0 = 2*w - v*m - 59, 4*w = 2*w - 2*m + 34. Is 8 a factor of w? False Is 36 a factor of (63/7)/(0 + (-2)/(-32))? True Let o be (122/(-4))/((-2)/4). Let c = o - 43. Is 9 a factor of c? True Let j(a) = 0 + 3*a - 4*a**2 + 7*a**2 - 4. Is j(-4) a multiple of 16? True Let p(r) = -28*r - 34. Is 10 a factor of p(-3)? True Let d be (-1 + -1)*196/8. Let g = 115 + d. Is g a multiple of 22? True Let v = 15 - 81. Let j = v - -114. Does 14 divide j? False Suppose -4*m = 5*v - 71 + 27, 0 = 2*m - 3*v. Suppose -m*b = -b - 25. Suppose -6 = -b*w + 24. Is 4 a factor of w? False Let u(a) = a - 8. Let k be u(4). Let w(n) = -3*n + 4. Does 4 divide w(k)? True Suppose 3*h = 4*d + 398, 5*d - 36 = -h + 122. Is 32 a factor of h? False Let y(q) = -q**3 - 9*q**2 + q + 9. Let f be y(-9). Is 11 a factor of (f - -2*11)/2? True Suppose -3*w + 12 = 3*u, 2*w + 3*u = -3*w + 14. Suppose -w = d - 0. Does 10 divide (d + 1 - 1)*-19? False Suppose -3*w = -3*f - 195, -w - 75 = -2*w - f. Is w a multiple of 35? True Let z(g) = -91*g - 2. Is 22 a factor of z(-1)? False Let i = 3 - 28. Let o = i - -46. Is o a multiple of 7? True Let v = -471 + 709. Suppose -b + 4 = 5*n - 62, 2*n = -5*b + v. Suppose 4*k - 3*k = b. Is k a multiple of 23? True Suppose 4*j = 3*q - q + 20, q - 4*j = -14. Is 18 a factor of 12/(-18) + (-112)/q? True Suppose 0 = -2*a - 27 + 9. Is 6 a factor of (-6)/(-27) + (-106)/a? True Suppose 13 = b - 20. Is b a multiple of 4? False Let n = 5 - 3. Suppose -291 = -5*b + 4*t - 5*t, -n*t = 8. Is b a multiple of 24? False Suppose 0 = 16*j - 13*j - 135. Is 15 a factor of j? True Let o = -6 + 10. Let x be 6 - ((2 - 5) + 0). Suppose -o*s + s = -x. Is s a multiple of 2? False Suppose 0 = 6*z - 18*z + 4920. Does 29 divide z? False Let u(z) = z**3 + 2*z**2 - 3*z + 2. Let p be u(-3). Let j = p + 4. Does 6 divide j? True Suppose 0*v + 2*v - 56 = 0. Let t = -20 + 61. Let z = t - v. Does 11 divide z? False Suppose 4*s - 90 = 2*s. Does 5 divide s? True Suppose t - 4*q - 44 = 0, -3*t + q = -4*t + 24. Is 14 a factor of t? True Suppose -3*a + 5*o = -18, 0 = -2*a - 4*o + 39 - 5. Let q = a + 22. Is 14 a factor of q? False Suppose h - 33 = 3*h + 5*d, 2*h + 4*d + 30 = 0. Let g(t) = t**2 + 4*t + 9. Is 27 a factor of g(h)? True Is 21 a factor of 4/10*300/2? False Let a be (0 - 1)/(4/(-20)). Suppose -p + 16 = -4*g, -3*p - 2 = a*g + 1. Does 10 divide (1/g)/((-2)/66)? False Let w(d) be the third derivative of d**4/24 - d**3 + 11*d**2. Is w(11) even? False Let m = -2 - -6. Suppose -31 = -p - 0*p + m*a, -35 = -p + 2*a. Suppose 2*x = 1 + p. Does 14 divide x? False Let a = 6 - -17. Let p = a - 16. Let j = 5 + p. Is j a multiple of 6? True Let y = 14 + -6. Let v be ((-12)/y)/((-2)/196). Suppose -3*g = -7*g - 12, v = 3*t - g. Does 13 divide t? False Let x(k) = 2*k - 12. Let a be x(8). Suppose 3*d + 44 = z + z, -a*d = 0. Is 11 a factor of z? True Let u be (-26)/117 + (-58)/(-18). Suppose -5*s + 50 = 3*t - s, u*s = 5*t - 93. Is 11 a factor of t? False Let l be 4*(1 + -2 - -2). Suppose -l*u = -69 - 19. Does 18 divide u? False Suppose 5 = 2*v - 1. Let s be 18/5 - v/5. Suppose 0 = s*t - t - 14. Does 7 divide t? True Let b(t) = 3*t - 4*t - 14*t**2 - 8 + 8. Let d be b(-1). Let w = d + 30. Is 17 a factor of w? True Let q be 3/(-6) + (-524)/(-8). Let f = -41 + q. Is f a multiple of 12? True Is 10 a factor of 1 + -2 + (-81)/(-1)? True Let a = -78 - -166. Is a a multiple of 19? False Let s(z) = -z**3 - 3*z**2 - 4*z - 2. Let y be s(-2). Let q be ((-37)/y)/(4/(-8)). Let f = 81 - q. Is 16 a factor of f? False Suppose 3 = f - 0. Suppose -f*p + 17 = g - 0*g, g - 2*p = -3. Suppose g*q - 7*q = -16. Is q a multiple of 8? True Let f(n) = -34*n**2 - 5*n + 4. Let s be 2/4 + 21/(-6). Let r(o) = o - 1. Let i(h) = s*r(h) - f(h). Does 13 divide i(1)? False Suppose -3*v + 2*v = 54. Let s = v + 91. Is 10 a factor of s? False Let n = 4 + -3. Let k be -9*n*8/(-3). Is (-4)/k - (-170)/12 a multiple of 7? True Let p = 106 + -58. Does 12 divide p? True Is 27 a factor of (-4)/(-18) + 2330/45? False Suppose 3*i + 2*i = 15. Is 2 a factor of i? False Let s(q) = q**3 - 5*q**2 + 3*q + 2. Let b be s(4). Let y(l) = l + 2. Let i be y(b). Suppose 0*z - 3*z + g + 89 = i, -91 = -3*z + 2*g. Is 16 a factor of z? False Let u = -96 + 128. Does 32 divide u? True Suppose 24 = -4*g - 0*g. Is (g/(-4))/(3/32) a multiple of 16? True Suppose 5*m + 0*r - 1900 = -5*r, m - 4*r = 355. Is m a multiple of 15? True Suppose 3*l - 84 = 12. Is l a multiple of 32? True Let x be (3/2)/((-2)/4). Let k be ((-46)/3)/(1/x). Suppose -2*i - 2*w - 4 = -k, i + 5*w - 33 = 0. Does 18 divide i? True Suppose 62 + 40 = j. Suppose 4*t = -5*c + 303, -344 = -4*c - 3*t - j. Is c a multiple of 21? False Suppose 3*c + c = 244. Let h = -40 + c. Is h a multiple of 15? False Suppose -2*x - 5*x + 21 = 0. Is x a multiple of 2? False Suppose -3*d - 2*t + 170 = 0, -t + 6*t + 85 = d. Is d a multiple of 10? True Let l = -59 - -209. Does 30 divide l? True Let f = -207 - -375. Is 42 a factor of f? True Suppose -l - 2*l = -123. Let x = l - 8. Suppose -6*f + 3*f = -x. Is f a multiple of 11? True Let a(j) = 3*j. Let f(r) = -r + 1. Let c(k) = -3*a(k) - 6*f(k). Does 6 divide c(-5)? False Let f be 4/(2/(-4)*-4). Suppose f*w - 25 = 23. Is w a multiple of 8? True Let w = 9 - 4. Suppose -4*t + 2*t = 0. Suppose t = 4*y + l - 25, 2*l - 50 = -w*y - 15. Is 5 a factor of y? True Let l(x) = x**3 - 3*x**2 + 5*x. Let j be 1*(16/(-1))/(-4). Is l(j) a multiple of 10? False Suppose -4*h + 147 = 5*o - 201, 0 = -2*o + 2*h + 132. Is 17 a factor of o? True Let n(j) = j**3 - 3*j**2 + 2*j. Is 12 a factor of n(5)? True Suppose w + 3*f - 530 = 7*f, 0 = -4*w - 5*f + 2183. Let j be (-2)/(-7) - w/(-14). Suppose -h - 2*h + j = 0. Is 13 a
{ "pile_set_name": "DM Mathematics" }
+ 6*q + 3 = 0. Determine h, given that -3/4*h**4 + 0*h + 3/4*h**2 - 3/4*h**5 + 3/4*h**3 + j = 0. -1, 0, 1 Let m = 8165 - 24493/3. Factor -2*v**2 - m*v**3 + 8/3*v + 0. -2*v*(v - 1)*(v + 4)/3 Let x be 14 + (-7 - -10) + -8. Let k(a) be the second derivative of a**2 - 2/3*a**4 - x*a - a**3 + 0. Factor k(p). -2*(p + 1)*(4*p - 1) Let m = 76 + -74. Let -28*b**2 + 35*b**2 - 16*b**m - 2*b**3 - 2 - 3 - 12*b = 0. Calculate b. -5/2, -1 Let t = 4821 + -4818. Factor 0*g + t - 3/4*g**3 - 9/4*g**2. -3*(g - 1)*(g + 2)**2/4 Let k be 466/12 - 3/(-18). Factor -4 + 18*j**3 + 6 + 6*j**4 + k*j**2 - 3*j**4 + 36*j + 10. 3*(j + 1)**2*(j + 2)**2 Suppose -s + 19 = -2*s. Let t = 73 + s. Factor 1 - 2*j - 2*j**3 + t*j**2 - 58*j**2 - 1. -2*j*(j + 1)**2 Let 35/2*s**3 + 47*s**2 + 4 + 26*s = 0. What is s? -2, -2/5, -2/7 Let z = 16 - 16. Let o = -17/3 - -7. Suppose 4/3*u**5 - 10/3*u**2 + z*u**3 + 0 - o*u + 10/3*u**4 = 0. What is u? -2, -1, -1/2, 0, 1 Let t(b) = 25*b**4 - 150*b**3 + 230*b**2 + 150*b - 5. Let z(s) = 13*s**4 - 75*s**3 + 116*s**2 + 75*s - 3. Let w(l) = 3*t(l) - 5*z(l). Factor w(p). 5*p*(p - 5)*(p - 3)*(2*p + 1) Let y(u) be the second derivative of u**4/12 + 15*u. Let c(q) = -2*q**3 - 8*q**2 - 4*q - 1. Let z(i) = -c(i) - 3*y(i). Find t such that z(t) = 0. -1, -1/2 Let h(z) be the first derivative of -z**4/28 + 133. Factor h(s). -s**3/7 Suppose m + t + 10 + 16 = 0, -t + 46 = -2*m. Let n be (-4)/(m/9)*(-7)/(-3). Let 0*c + c**4 + n*c**5 - 7/2*c**3 - c**2 + 0 = 0. Calculate c. -1, -2/7, 0, 1 Suppose -5*v + v = 5*k + 5, -2*k - 2 = -3*v. Let h(y) = -y**2 - 10*y - 9. Let c be h(-1). Factor -2/3*n**4 + v*n**2 + 0*n + 0 + c*n**3. -2*n**4/3 Factor -4*y**3 - 2/9*y**5 + 0*y + 0*y**2 - 22/9*y**4 + 0. -2*y**3*(y + 2)*(y + 9)/9 Let f(h) be the second derivative of -h**6/360 + h**5/30 - h**4/6 + 7*h**3/6 + 8*h. Let d(a) be the second derivative of f(a). Find o, given that d(o) = 0. 2 Let f be (-245)/(-147)*(-9)/(-35). Find z, given that -24/7*z**2 - f*z**4 + 12/7*z + 0 + 15/7*z**3 = 0. 0, 1, 2 Let u = 1/8258 + 668893/41290. Factor u*r**2 + 6/5 - 9*r. 3*(3*r - 1)*(9*r - 2)/5 Let j(d) be the third derivative of -11*d**6/4 + 233*d**5/20 + 101*d**4/8 + 5*d**3 - 19*d**2. Determine m so that j(m) = 0. -1/5, -2/11, 5/2 Solve 1/6*x**3 + 0 + 59/6*x**2 + 0*x = 0. -59, 0 Let v(z) = 80*z**3 - 35*z**2 - 125*z - 120. Let m(c) = 3*c**3 - c**2 - c. Let f(x) = -25*m(x) + v(x). Suppose f(d) = 0. Calculate d. -2, 6 Let q(m) be the first derivative of -2 + 1/7*m**2 + 2/21*m**3 - 4/7*m. Let q(d) = 0. What is d? -2, 1 Let f(k) be the second derivative of k**6/90 + k**5/15 - 11*k**3/6 - k. Let q(n) be the second derivative of f(n). Let q(o) = 0. Calculate o. -2, 0 Let l = -1389 - -1391. Factor 0*i**l - 3/2*i**3 + 0*i + 3/2*i**5 + 0 + 0*i**4. 3*i**3*(i - 1)*(i + 1)/2 Let y be (-8)/(64/(-84)) - 2. Let a = 55/6 - y. Solve 2*c**3 + 4/3*c**2 - a*c + 0 = 0. -1, 0, 1/3 Suppose 9*j = 30*j - 63. Let x(v) be the third derivative of 5*v**2 - 1/12*v**5 - 10/3*v**j - 5/6*v**4 + 0 + 0*v. Factor x(p). -5*(p + 2)**2 Let o(m) be the first derivative of 5*m**6/6 - 5*m**4 + 10*m**3/3 + 15*m**2/2 - 10*m - 343. Factor o(b). 5*(b - 1)**3*(b + 1)*(b + 2) Let i = -1223 - -1227. Suppose -2/3*x**2 + 3*x**3 - i*x**4 + 5/3*x**5 + 0 + 0*x = 0. What is x? 0, 2/5, 1 Let t(w) be the first derivative of w**3/4 - 33*w**2/8 + 15*w/2 + 492. Suppose t(b) = 0. What is b? 1, 10 Suppose 2/11*v**4 + 6/11*v**2 - 48/11 + 12/11*v**3 - 52/11*v = 0. Calculate v. -4, -3, -1, 2 Let r(o) be the first derivative of -2/33*o**3 - 23 + 0*o**2 + 0*o. Solve r(n) = 0 for n. 0 Let 1/3*s**2 + 11*s - 70/3 = 0. Calculate s. -35, 2 Let n(p) be the second derivative of 3*p**4/8 + p**3/6 + p - 4. Factor n(r). r*(9*r + 2)/2 Let d be 2 + (-2)/6*0. Suppose 0 = 2*o - 3*p - 16, 5*p = -5*o + d*o - 14. Factor -7*l**o + 0*l**5 + 15*l**3 + 3*l**5 - 12*l**4 + l**2. 3*l**2*(l - 2)*(l - 1)**2 Let c be -3*(-4)/36*45. Suppose -3*k + c = -3*f, -k = -2*f - 2 - 5. Suppose -3*n**2 + 6*n - k*n**3 + 29 - 29 = 0. Calculate n. -2, 0, 1 Suppose 65 = f - 2*f. Let s be 0 + -1 + 1 - f/39. Factor -1/3*v**3 - s*v**2 - 4/3 - 8/3*v. -(v + 1)*(v + 2)**2/3 Let z be (-2334)/(-30) - 5/(-2)*(-12)/(-15). Find y such that -3/5*y**5 - 6*y**3 - 318/5*y**2 - z*y - 147/5 + 33/5*y**4 = 0. -1, 7 Suppose 48/5*f**3 - 324 - 1539/5*f + 6*f**4 - 378/5*f**2 + 3/5*f**5 = 0. Calculate f. -5, -3, 4 Let f(d) be the third derivative of -17*d**2 - 1/4*d**3 + 0 + 1/448*d**8 + 1/40*d**5 + 0*d + 0*d**7 - 1/40*d**6 + 3/32*d**4. Factor f(n). 3*(n - 1)**3*(n + 1)*(n + 2)/4 Let f(j) = j**2 + 3*j. Let x(h) = 2*h - 24. Let s(o) = -4*f(o) - 2*x(o). Factor s(m). -4*(m - 2)*(m + 6) Find a, given that 32/3*a**3 - 8/3*a - 6*a**2 + 0 + 14*a**4 = 0. -1, -1/3, 0, 4/7 Factor -3/7*p**4 - 21 - 36*p + 36/7*p**3 - 66/7*p**2. -3*(p - 7)**2*(p + 1)**2/7 Let w(i) be the third derivative of 0*i**3 + 0*i**4 - 1/105*i**7 + 5*i**2 - 1/15*i**6 + 0 + 0*i + 1/168*i**8 + 2/15*i**5. Find q, given that w(q) = 0. -2, 0, 1, 2 Let 66*k**2 + 2 - 261*k**3 - 2 - 840*k**4 + 1092*k**4 + 12*k**5 = 0. Calculate k. -22, 0, 1/2 Let z(v) = -v**4 - v**3 - v**2 + 2. Let i(d) = 11*d**4 - 74*d**3 + 101*d**2 - 50*d + 8. Let m(q) = -i(q) + 4*z(q). Factor m(t). -5*t*(t - 2)*(t - 1)*(3*t - 5) Let b(n) be the first derivative of n**3/6 - 25*n**2 + 1250*n + 26. Factor b(i). (i - 50)**2/2 Factor -2*z**2 + 59*z - 6 + 14 - 65*z. -2*(z - 1)*(z + 4) Let u(c) be the second derivative of 0*c**2 - 5/12*c**4 + 1/6*c**6 + 0 + 0*c**5 - 15*c + 0*c**3. Factor u(n). 5*n**2*(n - 1)*(n + 1) Factor 396*i**2 - 281*i**2 - 34*i + 144*i + 5*i**3. 5*i*(i + 1)*(i + 22) Suppose 85*i = -75 + 330. Find o such that -8/5*o**2 + 2/5*o**i + 8/5 - 2/5*o = 0. -1, 1, 4 Let k(a) be the first derivative of 1/3*a**5 + 5/36*a**6 - 5/12*a**2 - 5/9*a**3 + 0*a + 0*a**4 + 20. What is p in k(p) = 0? -1, 0, 1 Let z be 0/3 + 3 + -1. Let x = 11/510 - -53/170. What is k in x*k**z + 0*k + 0 + k**3 = 0? -1/3, 0 Let m = 7664 + -53388/7. Let k = m - 36. Let -8/7 + k*a - 2/7*a**2 = 0. What is a? 2 Let q = 1/30 + 2/15. Let i(v) be the second derivative of 0*v**2 - 1/15*v**6 + 0*v**3 - q*v**4 + 3*v + 0 + 1/5*v**5. Factor i(f). -2*f**2*(f - 1)**2 Suppose -4*j - 1 + 37 = 0. Let o(n) be the first derivative of -4 + 2 + 6 - j - n**3 - 75*n - 15*n**2. Factor o(u). -3*(u + 5)**2 Let q(l) be the third derivative of 0 + 0*l + 1/300*l**6 + 0*l**3 + 1/15*l**4 - 10*l**2 - 2/75*l**5. Factor q(y). 2*y*(y - 2)**2/5 Let y = -856 + 861. Let a(r) be the first derivative of 1/9*r**3 + 4/3*r**2 + y + 16/3*r. Factor a(x). (x + 4)**2/3 Let a(l) be the first derivative of -121*l**3/3 - 11*l**2/2 - l/4 - 2. Solve a(p) = 0 for p. -1/22 Let g be -3 + ((-6274)/(-9))/(-2). Let q = g + 352. Factor 2/9*k**2 + q*k**3 + 0 + 0*k + 2/9*k**4. 2*k**2*(k + 1)**2/9 Suppose 8 = -4*s + 16. Let i(m) be the first derivative of 0*m - 1/15*m**3 + 0*m**2 + 1/25*m**5 + s + 0*m**4. Factor i(p). p**2*(p - 1)*(p + 1)/5 Let t be -3*2/(-21)*784/168. Let x(l) be the second derivative of -t*l**4 - 1/2*l**2 + 5*l + 4/3*l**3 + 0. Let x(o) = 0. What is o? 1/4 Suppose -9*l = 12*l - 126. Let b be -1 - (4/(-4) - 15/l). Factor -b*a**3 + 0*a + 3/2*a**4 + 0 + a**2. a**2*(a - 1)*(3*a - 2)/2 Factor -h**2 - 4/5*h + 0 - 1/5*h**3. -h*(h + 1)*(h + 4)/5 Let v(z) be the first derivative of z**4/30 + z**3/15 - 6*z**2/5 + z + 4. Let o(f) be the first derivative of v(f). Determine q so that o(q) = 0. -3, 2 Let t = -13421 - -53685/4. Determine z, given that 1/2 + 5/4*z**3 + 7/4*z + t*z**4 + 9/4*z**2 = 0. -2, -1 Factor 43*n**3 + 2*n**2 - 81*n**3 - n**5 + 41*n**3. -n**2*(n - 2)*(n + 1)**2 Let u(c) be the second derivative of c**7/2520 - c**6/180 + c**5/40 - c**4/6 + 10*c. Let o(r) be the third derivative of u(r). Let o(b) = 0. What is b? 1, 3 Let l be 378/77 + 1/33*3. Let w(f) be the second derivative of -1/2*f**2 - 1/5*f**l - 5/6*f**3 + 0 + 3*f - 2/3*f**4. Suppose w(b) = 0. What is b? -1, -1/2 Let s(k) be the third derivative of 2/21*k**3 + 4*k**2 + 1/12*k**4 - 1/105*k**6 - 1/42*k**5 + 0*k + 0. Solve s(y) = 0. -2, -1/4, 1 Let p be -3 + -4 + 3 - -4. Determine x, given that -176*x**2 - 49*x + 156*x**2 - 2*x**3 - x + p*x**3 = 0. -5, 0 Let q(g) be the third derivative of 0*g**4 + 1/100*g**6 + 0*g**3 + 0*g + 0 - 3/50*g**5 - 11*g**2. Factor q(f). 6*f**2*(f - 3)/5 Let x(d) be the second derivative of 5*
{ "pile_set_name": "DM Mathematics" }
*z - r, f*z + 3*o + 23 - 1 = 0 for z. -4 Let s be 6/(-3) - 120/(-24). Let j(k) = -k + 5. Let a be j(5). Suppose q + q - 10 = a. Solve s*b - 9 = p, -2*p = -b - p + q for b. 2 Let d be (6/10)/(1/(-5)). Let t = d - -9. Suppose t*j - 3*j - 12 = 0. Solve -2*f = -j*c - 10, 3*c - 2*f = 5*c + 8 for c. -3 Let x = 39 - 27. Solve -4*t - 17 = f, -5*t + 4*f = 4 + x for t. -4 Let n be 6/(1*(-6)/(-4)). Solve 3*r - 3 = n*r + i, -3*r - i = 13 for r. -5 Let k(x) = x**3 + 2*x**2 - x - 2. Let t be k(-2). Solve -4*h - 2*c + 6 = t, h + 4*c + 19 = 3 for h. 4 Let p be (-18)/12*(-24)/(-9). Let u = p + 6. Solve -g + u*h = 0, 2*h - 8 = -6*g + 3*g for g. 2 Let h = 58 - 133. Let t be (8/10)/((-10)/h). Suppose 0 = -2*y - y + t. Solve 2*l = -l + 3*z + 12, -12 = y*l + 2*z for l. -1 Suppose -3*y = 2*r + 6, -r = 4*r + y - 11. Suppose -3*h + r*l = 9, -l = 4*h - h - 11. Solve -4*d - 4 = -5*v, -h*d + 3*d = 3*v - 1 for v. 0 Let g = 0 - -4. Solve 3*u - g*u + 5*t = 12, -18 = -3*u - 3*t for u. 3 Let w(h) = 2*h**2 + 3*h. Let b be w(-2). Let t(m) = -m**3 - 2*m**2 - 2*m + 3. Let k be t(-3). Solve b*y - 4 = -4*u + y, -u = -4*y - k for u. 2 Suppose -k - 9 = -4*k. Suppose 0 = -2*h - k*h. Solve 9*x - o + 10 = 4*x, -5*x - 2*o + 5 = h for x. -1 Suppose -d - 5*a - 3 = 30, 0 = 3*d + 3*a + 51. Let s be 2/d + 2/13. Solve 8 = -j + 5*c, s = -0*j - 2*j + 5*c - 6 for j. 2 Let w = 5 + -4. Let x be 2 + 4 + (-2)/w. Solve 0 = -5*f + k - 11, -22 = 2*f - 0*k + x*k for f. -3 Suppose -2*z = -z - 4. Suppose -c + 20 = z*c. Solve 6*o + 23 = 3*o - c*s, 5*o + 25 = -4*s for o. -1 Suppose -4*x - 6 + 10 = 0. Let f(y) = 5*y**3 - y**2 + 1. Let w be f(x). Solve 6*n - 4*n = w*m - 16, -5*m = 5*n - 30 for n. 2 Let u(m) = m**3 - 6*m**2 + 5*m + 3. Let f = -7 - -12. Let s be u(f). Solve -2*a - s*w = 21, 4*a - 7*w + 2*w = 13 for a. -3 Let q(d) = 2*d**2 - 2*d + 2. Let c be (2 - 0)*(2 + -1). Let p be q(c). Solve -2*n + 2*g = -4, p*n + 2*g + 13 = 5*n for n. -3 Let q = -12 - -20. Suppose -5*p = 2*w - q, -3*w - 3*p + 8 = -4. Solve r - 1 = 2*r + 3*j, -3*r - w*j - 3 = 0 for r. -1 Let k be (-19 + 21)*(1 - 2/(-4)). Solve 2*z + 0*z + 3 = -3*f, -3*z - 3*f = k for z. 0 Suppose -u = 1 - 3. Let j(q) = -7*q**2 + 0*q**u + 5 + q**2 - q**3. Let d be j(-6). Solve -3*r = k + 9, r = -d*k + 2*r + 19 for k. 3 Let j(f) = -f**3 + 8*f**2 + f - 3. Let s be j(8). Suppose k = 8 + s. Solve 4*z + a + 2*a = k, -a = 1 for z. 4 Let o = 11 + -11. Solve 3*y - 2*y = 3*w - 4, 4*y - 3*w - 11 = o for y. 5 Let h be (-2 + 0)/((-6)/9). Solve -h*i - 10 = i - 2*d, 5*i - 3*d = -10 for i. -5 Let t(w) = w + 4. Suppose 2*u + 3*u = -20. Let b be t(u). Suppose -4*g + 5*h + 35 = b, -3*g - h = 4*h. Solve -3*d + g + 4 = 0, -3*d = -v - 5 for v. 4 Let p(u) = 2*u + 5. Let h be p(5). Let o be h/6 - 2/(-4). Suppose -48 = -3*a - o*c, 2*c = -7*a + 3*a + 56. Solve a = -3*k, 0*l = l + 4*k + 21 for l. -5 Let p = -7 + 12. Suppose -31 = -p*u + 9. Solve -4*q = 5*v - 15 - 1, -u = -2*q for v. 0 Suppose -v + 11 = -4. Solve -5*y - v = 7*z - 2*z, 9 = -3*z - y for z. -3 Let d be (-3 + 1)*(-1 - -5). Let u = -6 - d. Solve 4*b - 2*l - 2 = -0, 5*b = u*l + 3 for b. 1 Let r = -121 - -122. Solve -j + 4*b - 8 = -0*b, -4*j = -5*b - r for j. 4 Let y(x) = -x**2 + 19*x - 18. Let k be y(17). Solve -2*s = -5*a - 0*s + 20, -4*a + k = 2*s for a. 4 Let y be (4 - (3 - 1)) + -1. Let a be (9 + 0 + 1)*y. Solve 5*o + 5*u = -a, -16 = 3*o + 3*u + 2*u for o. 3 Let o = -1 + 3. Solve 4*r - 3*s - 4 = o*r, 0 = r - 2*s - 4 for r. -4 Let t(c) be the first derivative of 2*c**3/3 - c**2/2 - c + 3. Let g be t(-1). Solve 0 = -3*f + 3*l, -2*f + 0*l + 3*l - g = 0 for f. 2 Suppose -c = c - 8. Suppose -1 - 27 = -c*p. Solve f - 2*k = p, 5*f = -0*f - 2*k - 25 for f. -3 Let v(n) = -4*n + 44. Let u be v(10). Solve -3 = 4*i + 3*g - 7, -2*i - 20 = -u*g for i. -2 Let j(l) = l**2 + 15*l + 19. Let q be j(-14). Solve 5*b = -3*x + 20, q*x + b = -b + 27 for x. 5 Let f = -6 - -2. Let m = -4 - f. Suppose -s - p = -m*s - 10, -5*p = -25. Solve -s*b = -4*h + 10, -5*b + b + 33 = 5*h for b. 2 Suppose -4*f + 3*z + 11 = 0, -3*f + 8 = -0*f - 2*z. Solve 0 = -f*c - 3*a + 1, -c = -2*a + 9 + 1 for c. -4 Let z(r) = r**3 - 3*r**2 - r - 4. Let f be z(4). Solve 4*m - 2*i + 16 = 0, 4*m + 2*i - f = -32 for m. -5 Let m be 8 - 1/1*3. Suppose -4*r = 3*k + 3, 0*k + 35 = -4*k + 5*r. Let z(u) = -u**3 - 4*u**2 + 3*u - 6. Let q be z(k). Solve -5*x = -4*x, q*x + 15 = m*v for v. 3 Let u(r) = r**2 - 6*r - 5. Let b be u(7). Solve b*w - 25 = -5*p, 3*w + w + 4*p = 20 for w. 0 Suppose -o - o = -4*t + 18, 0 = -3*t - 2*o + 10. Let x = 16 - 5. Let m be 1/t - x/(-4). Solve m*q = -2*u - 2*q + 4, -5*u - 2*q = 11 for u. -3 Suppose -4*h = -q + 18, 3*q - 4*h = 5 + 17. Solve 4*x + m = 5*m + 4, -6 = -q*m for x. 4 Let g = -28 - -46. Solve 3*x - g = -f, 3*f - 4*f + 23 = 4*x for x. 5 Let b(c) = -7*c - 4*c**2 + 5 + 10*c**3 + c - 9*c**3. Let r be b(5). Solve 2*x - 4*a - 22 = r, 0 = x - 5*x - 4*a - 4 for x. 3 Suppose -5*k + 4*s - 56 = 0, 0 = k - 2*k - 3*s + 4. Let c = k - -14. Let p be c/(-2)*4/(-6). Solve n = -5*a + 2, 3*a + 5*n = -p*a - 10 for a. 1 Suppose -2*x - 2 = -o, 8 + 7 = 4*o - x. Solve 9*f + y = o*f + 13, 0 = 5*f + 4*y - 7 for f. 3 Suppose 4*v + n - 2 = -3, -2*v + n = -1. Suppose v = -7*r + 4*r. Solve -3*s - q + 18 = r, s + 5*q = 2 + 18 for s. 5 Suppose 3*k - 8*k = -20. Suppose -4*r = k - 48. Let x be r + -3 - 0/1. Solve 0 = -2*o - h + 1, 3*o - 5*h = x*o + 5 for o. 2 Suppose 6*t = 6 + 12. Solve 3*m + 21 = -5*u, -4*u + t*m = -m + 4 for u. -3 Suppose 4 + 1 = s. Let k be 0*1/3*3. Suppose k = 3*f + 1 - 7. Solve m = -3*j + s, j - f = -j for m. 2 Suppose -9 = 2*j - 13. Solve 4*n + 2*i - 2 = 0, -8 = -n - 4*i + j*i for n. -2 Suppose c - 11 = 4*x, c = 2*c - 2*x - 7. Solve 5*q + t = -c, 2*q = -2*q - 2*t for q. -1 Let f(g) = 6*g + 27. Let b be f(-4). Solve 30 = a - 5*y, y - b*y - 5 = a for a. 5 Let u(v) = v**3 + 8*v**2 + v + 11. Let x = -21 - -13. Let w be u(x). Solve 4*q = w*f + 7, 3*f = -4*q - 0*q + 25 for f. 3 Let n(l) = -l**2 - 17*l + 11. Let j be n(-17). Solve -5*y + 4*v + 16 = -15, -5*y + j = v for y. 3 Let q = 46 + -25. Let n be ((-14)/q)/(2/(-18)). Suppose k + 2*k - n = 0. Solve 5*t + v - 9 = 0, -5*t + 1 = -k*t + 5*v for t. 2 Let k = 667 + -367. Suppose 3*f + f - k = 0. Suppose 0 = 3*z + 4*b - b - f, -2*z = -b - 44. Solve -3*t = -4*y + 2*y + z, 2*y = 8 for t. -5 Let y be (-1)/(-1*(-1)/(-3)). Suppose 0*t + 4 = 3*t + 2*j, -4 = j. Suppose 4*l - 8 = t*p + 20, l + 5*p = -11. Solve 3*q + y*h = 0, l - 2 = h for q. -2 Suppose 48 = 8*t - 4*t. Solve -3*b - t = 3*i, 4 = -4*i + 2*b - 0*b for i. -2 Suppose 14 = 5*b + 4*u - 16, -2*b + 4*u - 16 = 0. Solve 0*i - h = -i, 5*h - 6 = b*i for i. 2 Suppose -11*z = -0*z - 66. Suppose 4 = t, -4*t = 5*k - 2*t + 22. Let i = 10 + k. Solve -5*d + 13 = i*c, 3*d = 5*d + 2*c - z for d. 1 Let m be 3 - (4 + 0 - -2) - -18. Solve 3*r = r - 3*f - 13, -m = 3*f for r. 1 Suppose -4*x = -0*v - 2*v + 16, 10 = 4*v + 3*x. Let c = v + -6. Let t be 4*c/(-20)*10. Solve -4*l = o + 1 + 15, -t*l = 2*o + 12 for l. -5 Let l be (-294)/(-36) + 1/(-6). Solve k - 3*k + 19 = -3*a, -l = -4*k for a. -5 Let i(d) = -d**3 - 2*d**2 + 3*d. Let z be i(-3). Let s = z + 4. Solve 4 = -s*u - 2*f, 3*u + 5*f - 7 = -24 for u. 1 Let f = 8 - 3. Suppose 0 = -2*c + 2*y + 26, f*y - 12 = -2*c - 0*y. Solve 3*a - l = -7, -4*l - 3 + c = -2*a for a. -2 Let r(x) = x**2. Let v = -2 + 0. Let p be r(v). Solve 2*i - 18 = -3*f, 0 = p*f + 4*i - i - 25 for f. 4 Let a be 0/((-1)/(-1) + 3). Solve -f = a, -s = -4*s - 3*f - 3 for s. -1 Let h be -4 + 2 + 4 + 0. Suppose 20 + 0 = 5*k. Suppose -10 = -k*w + 30. Solve -2*l - h*u - w = l, 4*l + 11 = -5*u for l. -4 Let g = -14 + 17. Solve 5*k + 5*o = -5, -g*o - 1 = 4*k + 1 for k. 1 Let u be (2/(-2))/((-5)/95). Let h be u - (-2)/(-2 - -3). Solve 5*a + 2*y = -0*y - h, 2*y = 5*a + 9 for a. -3 Let f(u) = 4*u - 21. Let t be f(6). Solve 0 = 4*i - 4*a, 2*a - t = 2*i + a for i. -3 Let b = -6 - -7. Solve b = -4*y + 5*w + 16, -3*y - 2*w = -17 for y. 5 Let z = -8 - -12. Solve j = -3*d + 5*j + 18, 22 = 5*d - z*j for d. 2 Let w(j) = -4*j. Let f be w(-1). Suppose -3*y = -4*y + f. Let l be (-1)/(-4) + 59/y. Solve -3*i = -o + 20, -2*o = i - 4*o + l for i. -5 Let x = 8 - 8. Suppose y - 1 - 1 = x. Solve 0 = -y*p - 0*t + 3*t - 9, -5*t + 15 = 2*p for p. 0 Let v = 56 + -50. Solve 2*o = -v*s + 2*s + 2, 5*s
{ "pile_set_name": "DM Mathematics" }
test common divisor of 266340 and 1184248. 772 Calculate the greatest common factor of 292 and 7072970. 146 Calculate the greatest common divisor of 37989 and 115101. 567 Calculate the greatest common factor of 525374 and 4321. 149 Calculate the highest common factor of 1194155 and 599555. 4955 Calculate the greatest common factor of 417427160 and 2320. 1160 What is the highest common factor of 882 and 13248? 18 Calculate the highest common divisor of 501052 and 1343432. 2188 Calculate the greatest common factor of 178 and 17739747. 89 Calculate the greatest common factor of 20768 and 118228. 44 What is the greatest common factor of 2928848 and 3640? 104 Calculate the greatest common divisor of 9 and 5011812. 9 What is the highest common divisor of 5224 and 23816? 8 Calculate the highest common divisor of 38546486 and 726. 242 Calculate the highest common divisor of 5402 and 25455319. 73 Calculate the highest common factor of 4722 and 107551420. 1574 Calculate the highest common factor of 12 and 1183428858. 6 Calculate the highest common factor of 20952726 and 192. 6 What is the greatest common factor of 18674857 and 1462? 731 Calculate the greatest common factor of 16558278 and 744. 186 Calculate the greatest common factor of 1056906 and 1278. 1278 Calculate the highest common divisor of 644505 and 105. 15 What is the greatest common divisor of 6680 and 13448510? 1670 Calculate the greatest common divisor of 2425220 and 945. 35 What is the greatest common divisor of 3039 and 2302549? 1013 Calculate the highest common divisor of 241449 and 273. 39 What is the highest common factor of 5004651 and 249? 249 Calculate the highest common divisor of 10565 and 210195. 5 Calculate the highest common factor of 616 and 4814964. 308 Calculate the highest common divisor of 99028 and 950. 38 Calculate the highest common factor of 2806 and 1979389. 61 What is the greatest common divisor of 4348 and 3053693882? 2174 What is the greatest common factor of 8 and 444936? 8 Calculate the greatest common factor of 3710864 and 176. 16 Calculate the greatest common divisor of 7371 and 1627911. 27 Calculate the greatest common divisor of 2547 and 710802. 9 Calculate the highest common divisor of 1308 and 3788949. 327 Calculate the greatest common divisor of 2907 and 16643. 17 Calculate the highest common factor of 264 and 1774592. 8 Calculate the greatest common factor of 989 and 2834947. 43 What is the highest common factor of 355 and 22886992? 71 Calculate the greatest common factor of 716454 and 27666. 954 What is the greatest common factor of 3783984 and 117552? 1488 What is the greatest common divisor of 189587620 and 460? 460 Calculate the greatest common divisor of 1953031310 and 740. 370 Calculate the greatest common divisor of 231 and 8894886. 231 Calculate the greatest common factor of 28355 and 993. 1 What is the greatest common divisor of 2394361 and 228? 19 What is the highest common factor of 5502 and 125664? 42 Calculate the highest common divisor of 4256 and 21133. 7 What is the highest common factor of 15588558 and 408? 102 What is the highest common divisor of 1116839 and 1075? 43 What is the highest common factor of 1284174 and 135? 27 Calculate the greatest common factor of 13726 and 11647. 1 What is the greatest common factor of 23556 and 519324? 156 What is the highest common factor of 732 and 1140564? 12 What is the highest common divisor of 5277634 and 265? 53 What is the greatest common divisor of 418 and 5573194? 418 What is the greatest common divisor of 2309817 and 267? 267 What is the highest common divisor of 177000 and 1161120? 7080 Calculate the greatest common factor of 37680371 and 6275. 251 What is the greatest common divisor of 33179601 and 169? 169 Calculate the highest common divisor of 136687677 and 21. 21 What is the highest common divisor of 18121545 and 455? 65 Calculate the highest common factor of 4680627 and 1148707. 833 Calculate the highest common factor of 18 and 1704650. 2 What is the greatest common divisor of 1056 and 35673864? 24 Calculate the greatest common factor of 2268 and 1912020. 12 What is the greatest common divisor of 14 and 285509? 7 Calculate the highest common factor of 42370124 and 6. 2 Calculate the highest common factor of 5771 and 912746. 29 Calculate the greatest common divisor of 2749635 and 223815. 645 Calculate the highest common divisor of 7616 and 373063096. 952 What is the greatest common factor of 2147 and 394144? 113 What is the highest common factor of 3782 and 139690? 122 What is the greatest common factor of 4031 and 655226? 29 What is the greatest common factor of 182250 and 4445250? 750 Calculate the greatest common divisor of 2327881 and 13579. 367 Calculate the greatest common factor of 3296 and 67380128. 3296 What is the greatest common factor of 5282 and 101205761? 2641 Calculate the greatest common factor of 41981820 and 60. 60 Calculate the greatest common factor of 535 and 107795. 5 Calculate the highest common factor of 28644 and 451. 11 What is the highest common factor of 379052 and 1452132? 772 Calculate the highest common factor of 1028137 and 169279. 121 Calculate the highest common factor of 132622579 and 94. 47 Calculate the greatest common factor of 500 and 15728300. 100 Calculate the greatest common divisor of 247921 and 1339. 103 Calculate the highest common divisor of 25374408 and 856. 856 What is the highest common divisor of 15689 and 836386? 541 Calculate the greatest common divisor of 1258 and 102615689. 629 What is the highest common factor of 139409291 and 35? 7 What is the highest common factor of 156859669 and 537? 179 What is the greatest common factor of 131360 and 762960? 80 What is the greatest common divisor of 161 and 69978949? 23 Calculate the highest common divisor of 179756586 and 18. 18 Calculate the highest common factor of 47449227 and 255. 51 Calculate the greatest common divisor of 346 and 12041319. 173 What is the greatest common divisor of 98 and 2428402? 2 What is the greatest common factor of 1335 and 96330930? 1335 What is the greatest common divisor of 60777181 and 57? 19 What is the greatest common factor of 627 and 31552939? 209 Calculate the greatest common divisor of 1613377 and 21583. 191 What is the greatest common factor of 7097202 and 11844? 126 Calculate the greatest common divisor of 1837989 and 41123. 697 Calculate the highest common factor of 1835904 and 35328. 384 What is the greatest common divisor of 278350332 and 1248? 156 Calculate the highest common divisor of 3250100 and 8680. 140 Calculate the highest common divisor of 19267314 and 11847. 33 Calculate the greatest common divisor of 2849 and 5189657. 407 What is the highest common divisor of 184496 and 6032? 208 Calculate the highest common factor of 1176756 and 1148. 28 Calculate the highest common divisor of 1825 and 1347872. 73 Calculate the greatest common divisor of 3460 and 22612. 4 What is the greatest common factor of 1008 and 197770608? 1008 Calculate the highest common factor of 3950 and 195908150. 3950 Calculate the highest common divisor of 62266 and 111166. 326 Calculate the highest common factor of 7562370 and 120. 30 Calculate the greatest common factor of 416 and 122896. 16 What is the highest common divisor of 208288 and 1533824? 736 Calculate the greatest common divisor of 1185 and 475005. 15 Calculate the greatest common divisor of 643658 and 2. 2 What is the greatest common factor of 18599368 and 8? 8 What is the highest common divisor of 3384 and 198317628? 1692 Calculate the greatest common divisor of 450 and 695200. 50 Calculate the highest common divisor of 351043460 and 1284. 428 Calculate the greatest common divisor of 236 and 188134126. 118 Calculate the greatest common factor of 1830715124 and 14. 14 Calculate the greatest common factor of 3508 and 260. 4 What is the highest common divisor of 12321 and 68191? 37 What is the greatest common divisor of 2268 and 12116790? 1134 Calculate the greatest common divisor of 9758810 and 180. 10 Calculate the highest common divisor of 113082 and 423. 141 What is the highest common factor of 1775877675 and 18150? 9075 Calculate the highest common factor of 120272268 and 48. 12 Calculate the highest co
{ "pile_set_name": "DM Mathematics" }
et n(t) = -8*t**2 - 10*t - 8*t + 27*t + 9*t**3 - 6*t. Let d(a) = -8*a**3 + 7*a**2 - 2*a. Give -7*d(z) - 6*n(z). 2*z**3 - z**2 - 4*z Let h(o) = -2*o**2 + 6*o. Let b(w) = 4*w**2 - 12*w. Give -2*b(z) - 5*h(z). 2*z**2 - 6*z Let w(o) = -70*o**3 - 60*o**2 + 60*o + 60. Let k(a) = a**3 + 5*a**2 - 2. Let g(z) = 4*z**2 + z - 1. Let s(d) = g(d) - k(d). Calculate -60*s(f) + w(f). -10*f**3 Let f = -14 + 10. Let z(w) = 4*w**3 - 3*w + 5. Let c(x) = -5*x**3 + 4*x - 5. Let g be 540/(-162) + 2/6. Calculate f*z(b) + g*c(b). -b**3 - 5 Let h(u) = 9*u - 3. Let i(s) = -4*s + 2. Let v be (-9)/(54/22) - 2/(-3). Calculate v*h(x) - 7*i(x). x - 5 Let q(n) = -5*n**3 + 5*n**2 + 13. Let l(j) = -2*j**3 + 2*j**2 + 6. Suppose -22*g - 98 = -8*g. Give g*l(h) + 3*q(h). -h**3 + h**2 - 3 Let l(h) be the first derivative of -h**4 - h**3 + h**2/2 + 2*h - 9. Let t(i) = 7*i**3 + 5*i**2 - 2*i - 4. Determine -5*l(c) - 3*t(c). -c**3 + c + 2 Let h(w) = -6*w**2 + 784*w - 2. Let m(l) = -2*l**2 + 261*l - 1. What is 3*h(j) - 8*m(j)? -2*j**2 + 264*j + 2 Let j(i) = -65*i - 9. Let a(d) = -66*d - 11. What is 4*a(o) - 5*j(o)? 61*o + 1 Let x(i) = 6*i - 68. Let b(n) = 2*n + 1. Calculate 2*b(t) - x(t). -2*t + 70 Let k(n) = -2*n**3 + 2*n**2 - 6*n - 3. Suppose 62 = -39*f + 23. Let b(x) = x**3 + x + 1. Calculate f*k(p) - 3*b(p). -p**3 - 2*p**2 + 3*p Let b(d) = d**2 + 3*d. Let n be -2*2 - 1*66/(-11). Let t(u) = -4*u**2 - 14*u. Determine n*t(h) + 11*b(h). 3*h**2 + 5*h Let g(y) = -168*y - 20. Let t(z) = 3*z + 1. Determine -2*g(r) - 44*t(r). 204*r - 4 Let t(g) = -128*g. Let w(c) = 386*c. Determine 16*t(u) + 5*w(u). -118*u Let n(u) = -5*u**2 - 2*u - 3. Let x(c) = -14*c**2 - 5*c - 9. Let h(j) = -11*n(j) + 4*x(j). Let t(m) = -m**2 - m - 1. What is -h(g) + 2*t(g)? -g**2 - 4*g + 1 Let h(v) = -3*v**2 - v - 4. Let o(k) = -15*k**2 - k - 19. Let b(t) = -16*t**2 - 20. Let y(m) = -2*b(m) + 3*o(m). What is 9*h(r) - 2*y(r)? -r**2 - 3*r - 2 Suppose 4*i = -13 - 3. Let a(v) be the first derivative of -4*v**3/3 + 2*v**2 + 1276. Let t(b) = -4*b**2 + 5*b. Determine i*t(g) + 5*a(g). -4*g**2 Let n(c) = -17*c**2 - 4*c. Let h(u) = -8*u**2 - 2*u. Let x(b) = b**2 - 9*b. Let q be x(8). Let o = 5 - q. What is o*h(v) - 6*n(v)? -2*v**2 - 2*v Let f(v) = v**2 - 3*v + 12. Let u(p) = p**3 + p**2 - 2*p - 1. Give f(g) - u(g). -g**3 - g + 13 Let u(n) = 1127*n - 35. Let m(o) = 565*o - 19. Give -11*m(c) + 6*u(c). 547*c - 1 Let x(i) = -i**3 - i + 1. Let g be x(0). Let a(j) = j**2 - j. Let f be 32/832*13*-4. Let q(s) = -2*s**2 - 2*s + 0*s**2 - 1 + 3*s**2. Calculate f*a(l) + g*q(l). -l**2 - 1 Let v(z) = 2 + 2 + 1. Let o(f) = f - 4. Let y be (-6 + 22)*5/20. Calculate y*v(a) + 5*o(a). 5*a Let q(n) = 2*n**2 - 4*n - 11. Let t(y) = 5*y**2 - 9*y - 25. Give -14*q(f) + 6*t(f). 2*f**2 + 2*f + 4 Let g(i) = 2*i - 7. Let p(w) = w**2 - 9*w - 3. Let q be p(9). Let c(t) be the second derivative of 9*t + 0 - 1/6*t**3 + 2*t**2. Determine q*g(u) - 5*c(u). -u + 1 Let y(d) = d**2 + d. Let v(j) be the third derivative of j**5/60 + j**4/12 - j**3/2 - 58*j**2 + 1. Give -v(a) + 2*y(a). a**2 + 3 Let h(g) = 30*g**3 - 17*g**2 - 17*g - 59. Let k(b) = 10*b**3 - 6*b**2 - 6*b - 20. Determine -6*h(j) + 17*k(j). -10*j**3 + 14 Let h(s) = -2*s**2 - 7*s + 3. Let v(q) = -q**2 - 2*q + 1. Let c(r) = -3*r + 14. Let f be c(4). Let o(j) = 8*j**3 + 1. Let d be o(-1). Determine d*v(y) + f*h(y). 3*y**2 - 1 Let b = -34 - -49. Let x be ((-8)/(-10))/(3/b). Let i(q) = q - 1. Let f(r) = 5*r - 6. What is x*f(h) - 22*i(h)? -2*h - 2 Let t(z) = -21*z + 27. Let d = 4 + -8. Let o be (-2 + -2)*4/d. Let r(u) = 3*u - 4. What is o*t(x) + 27*r(x)? -3*x Let g(x) = 63*x**3 - 7*x**2 + 7*x + 7. Let k(l) = -29*l**3 - 5 - 13*l**3 - 1344*l**2 + 1349*l**2 - 5*l. What is 5*g(t) + 7*k(t)? 21*t**3 Let p(h) = -12*h + 186. Let l(o) = 3*o - 46. Determine 9*l(c) + 2*p(c). 3*c - 42 Let i(t) = 22*t**3 - 17*t**2 - 17*t + 9. Let d(o) = 7*o**3 - 6*o**2 - 6*o + 3. Calculate -17*d(m) + 6*i(m). 13*m**3 + 3 Let l(g) = g**2 - g. Let k(j) be the first derivative of 3*j**2/2 + 41*j - 16. Let b be k(-14). Let n(m) = 6*m**2 - 3*m. What is b*n(a) + 4*l(a)? -2*a**2 - a Let i(j) = j**2 + 17*j + 32. Let r(a) = -a**2 - 19*a - 32. What is -7*i(l) - 6*r(l)? -l**2 - 5*l - 32 Let s(i) = 33*i**2 - 14*i - 7. Let l(v) = 22*v**2 - 10*v - 5. What is 7*l(z) - 5*s(z)? -11*z**2 Let y(t) = t**3 + 4*t**2 - 3*t + 3. Let x(f) = 4*f**2 - 5*f - 6. Let r(v) = v**2 - v - 1. Let i(c) = -5*r(c) + x(c). Let z = 32 - 29. Give z*i(d) + y(d). d**3 + d**2 - 3*d Let v(l) = 3*l**3 - l**2 - 3*l + 27. Let a(q) = q - 1. Calculate 3*a(g) + v(g). 3*g**3 - g**2 + 24 Let u(i) = -3*i**2 + 4*i + 5. Suppose 0 = -16*t + 22 - 6. Suppose -4*c - b + 15 = 0, 7*b - 2*b = 2*c - 35. Let w(r) = r**2 - r - 1. What is c*w(f) + t*u(f)? 2*f**2 - f Let a(o) = -o**3 + o**2 - 1. Suppose -5*t = -3*m - 125, 3*m = -3*t + t - 160. Let h = m + 49. Let k(l) = 2*l**3 + l**2 - 2. Calculate h*a(f) - k(f). -f**3 - 2*f**2 + 3 Let y(f) = -f**2 + 5*f - 5. Let a(s) = -5 - 2*s**2 + s**2 - 84*s + 3 - 2 + 88*s. Let o(g) = 2*g + 5. Let r be o(-5). Calculate r*a(l) + 4*y(l). l**2 Let x(b) = -14*b**3 + 16*b**2 - 34. Let w(y) = -5*y**3 + 5*y**2 - 11. Calculate -16*w(a) + 5*x(a). 10*a**3 + 6 Let o be 5*(1 - 0)*-1. Let h(m) = 3 + 0 + 3 - 3 + 5*m**2 - 5*m. Let f(t) = -9*t**2 + 9*t - 5. What is o*h(v) - 3*f(v)? 2*v**2 - 2*v Let a(d) = -14*d - 17. Let r(x) = 15*x + 14. Give 4*a(m) + 5*r(m). 19*m + 2 Let x(s) = 15*s + 5. Let l(y) = -5*y - 2. Suppose -3*h + 2*r = 6*r + 12, 5*h + 20 = -5*r. Give h*x(q) - 11*l(q). -5*q + 2 Suppose -2 - 10 = c - 5*a, -2*c - 5*a + 6 = 0. Let s(t) be the second derivative of -t**3/2 + 5*t**2/2 + 35*t. Let m(l) = -l + 1. Calculate c*m(g) + s(g). -g + 3 Let v(l) = 21*l**3 - 9*l**2 - 1. Let c(x) = -5*x**3 + 2*x**2. Let o(z) = 2*z**3 + 29*z**2 + 21*z + 89. Let b be o(-14). What is b*c(r) - 2*v(r)? 3*r**3 + 2 Let d(t) = -2*t**2 + 2*t**2 - t + t**2 + 0 + 1. Let i(o) = -o**3 - 12*o**2 + 11*o - 10. Let z be 1/(-2) - (-5)/2. What is z*i(v) + 22*d(v)? -2*v**3 - 2*v**2 + 2 Let x(m) = m**2 + 9*m - 273. Let p(h) = 2*h**2 + 20*h - 545. What is 6*p(d) - 13*x(d)? -d**2 + 3*d + 279 Let s(t) = 2*t**3 + t**2 - t - 2. Let k(m) = -7*m**3 - 3*m**2 + 2*m + 6. Give 3*k(i) + 8*s(i). -5*i**3 - i**2 - 2*i + 2 Let x(m) = 2*m**3 - 7*m**2 - 8*m - 23*m**3 - 7 + 8*m. Let w(j) = -10*j**3 - 3*j**2 - 3. What is 7*w(u) - 3*x(u)? -7*u**3 Suppose -3 = 5*c - 23. Let m = -246 + 237. Let k(j) = j**3 - j**2. Let o(q) = 2*q**3 - 3*q**2. Determine c*o(x) + m*k(x). -x**3 - 3*x**2 Let k(f) = 56*f**2 + 7*f - 10. Let i(y) = y**2 + y - 2. What is 6*i(l) - k(l)? -50*l**2 - l - 2 Let r(v) = -2 + 4*v - 3*v - 3*v - 2 + 10*v**2 - 19*v**2. Suppose 0 = -7*j + j + 66. Let z(g) = -17*g**2 - 4*g - 7. Calculate j*r(y) - 6*z(y). 3*y**2 + 2*y - 2 Let m(g) = 2*g + 15. Let h(y) = 3*y + 23. Calculate 5*h(t) - 8*m(t). -t - 5 Let m(d) = d**2 - 3*d + 4. Let t(f) = 4*f - 5. Let j be 65/20 - (-15)/20. What is j*m(u) + 3*t(u)? 4*u**2 + 1 Let r(k) = 4*k**2 + 2*k + 1. Let l be (-34 + 1)/3 - -3. Let d be (-4)/(-6) - l/6. Let t(c) = 0*c**d - 1 + 0*c - c - c**2. Calculate r(q) + 2*t(q). 2*q**2 - 1 Let d(c) = -c**3 + c**2 - 1. Let m(p) = p**3 - 6*p**2 - 6*p. Let q(v) = 6*d(v) + m(v). Let w(y) = -y - 1. Determine -q(r) + 6*w(r). 5*r**3 Let j = -628 + 624. Let f(c) = -c + 1. Let m(n) = -7*n + 6. Determine j*f(s) + m(s). -3*s + 2 Let l(z) = -5*z**2 - 2*z + 4. Let a(g) = -77*g**2 - 20*g + 67. Let t(h) = 15*h**2 + 4*h - 13. Let j(v) = -2*a(v) - 11*t(v). Determine 4*j(d) - 9*l(d). d**2 + 2*d Let v(d) = 3. Let n = 182 - 183. Let r(s) = s + 1. Calculate n*v(h) + 2*r(h). 2*h - 1 Suppose -21*x + 14*x = -35. Let o(j) = 5*j**2 + 7*j - 4. Let k(m) = 5*m**2 + 6*m - 3. Give x*o(z) - 6*k(z). -5*z**2 - z - 2 Let z(o) = 2*o**2 + 11*o - 4. Let v(k) = -k**2 + 5 - 20 - 6*k + 17. What is 7*v(f) + 4*z(f)? f**2 + 2*f - 2 Suppose -2*z = -8*z - 102. Let j(v) = 2*v + 5. Let s(b) = 963 - b - 949 + 7*b. Determine z*j(n) + 6*s(n). 2*n - 1 Let b(h) = h**2 - 6*h + 1. Suppose -4*g - 4*u = 16, -3*g - 105*u = -110*u + 12. Let x(j) = -2*j**2 + 7*j - 1. Calculate g*x(z) - 5*b(z). 3*z**2 + 2*z - 1 Let b(c) = c**2 - 2*c - 2. Let z(y) = 6 + 0*y**2 + y**2 - 9*y**2 + 8*y - 2*y + 5*y**2. Calculate 8*b(t) + 3*z(t). -t**2 + 2*t + 2 Let j(t) = 2*t + 11. Let s(o) = 2*o + 12. Let c(u) = 7*j(u) - 6*s(u). Let g(i)
{ "pile_set_name": "DM Mathematics" }
et y = 129/119 + -33/17. Put y, b, -1 in increasing order. b, -1, y Let c = -1.7 + 0.9. Let z = c + -0.1. Sort -0.2, z, 2 in ascending order. z, -0.2, 2 Let v = 36 - 22. Let c be (-2)/v*4/2. Let t be 2 - (2/(-5) - -3). Sort c, -4, t in decreasing order. c, t, -4 Suppose -5*m = c - 0*c, 5*c = m - 26. Put 2, 5, m in decreasing order. 5, 2, m Let q = -94 + 373/4. Let j = 6 - 5.92. Let s = 2.08 - j. Put q, s, 0.1 in decreasing order. s, 0.1, q Let d = 12/5 + -41/15. Let z = -45 + 43. Put -2/13, z, d in descending order. -2/13, d, z Let m = 725/6 - 120. Put m, 3/4, -0.5 in ascending order. -0.5, 3/4, m Suppose 3 - 20 = -p - 3*u, 0 = -4*u + 12. Sort -1, -4, p in ascending order. -4, -1, p Let i be (-2 - -17)/(-3)*5/5. Sort 2, -4, i, 4 in decreasing order. 4, 2, -4, i Let c(u) = u**3. Let s be c(-1). Let a be (1 - -1)*(2 + (-28)/8). Suppose p = -3*p + 5*t + 11, 3*p - 7 = 5*t. Put s, a, p in descending order. p, s, a Let r = 12248862509/1164 + -10523077. Let p = 119575/3783 + -411/13. Let j = p + r. Sort -2/5, j, 0.2 in decreasing order. j, 0.2, -2/5 Let f(l) be the first derivative of l**2/2 + 5*l - 7. Let x be f(-5). Sort -3, x, -1 in increasing order. -3, -1, x Let c = 0.27 + -0.07. Sort 0, c, 1. 0, c, 1 Let b = -1/63 + -113/819. Let j = 1 + 2. Let x = j + 2. Sort -0.5, b, x. -0.5, b, x Let x = 7 - 3. Let v(k) = -k**2 - 12*k - 8. Let c be v(-11). Let m = 0 - c. Sort -3/8, x, m in decreasing order. x, -3/8, m Let w be 10/7 + (-27)/63. Sort w, 2/3, 0 in descending order. w, 2/3, 0 Let o(t) = t + 4. Let w be o(0). Let a be -1*20 + w/2. Let f be (-1)/((-5)/(20/a)). Put f, -3, -0.5 in increasing order. -3, -0.5, f Let k(v) = -v**3 - 4*v**2 + 5*v - 9. Let n be k(-5). Put -5, 2, n in descending order. 2, -5, n Let m = 0.08 - 0.08. Suppose 0 = 3*w - 0*w - 3. Put -1, m, w in decreasing order. w, m, -1 Let v be 6/(-12) - (-3)/2. Put -4, 3, v in ascending order. -4, v, 3 Let m = -1.93 - -24.33. Let v = -23 + m. Sort v, -1/4, 1/7 in descending order. 1/7, -1/4, v Suppose 4 = 4*d, 2*c + 29 = -3*c + 4*d. Let v = -8 - -20. Suppose 2*f + f = v. Sort -4, f, c in descending order. f, -4, c Let n = 0 - 0. Let z be (-110)/(-16) + (-3)/(-24). Sort -4, z, n in ascending order. -4, n, z Let q = -0.6 + -0.4. Let j = q + 1. Let p = 0.1 + j. Put 0.5, 0.2, p in decreasing order. 0.5, 0.2, p Let a = -0.64 - -0.34. Put a, -5, -3 in increasing order. -5, -3, a Let a = -6 + 14. Let y be a/20 + (-48)/70. Put 1/2, -0.4, y in increasing order. -0.4, y, 1/2 Let v = 129 + -129. Sort -6, v, -0.3. -6, -0.3, v Suppose d = 74 - 77. Let l = 0 - 0. Put d, l, -1 in decreasing order. l, -1, d Suppose y - i = 7, 4*y + 2*i - 1 = 3*y. Put -3, y, 4 in descending order. y, 4, -3 Let d be (-1)/2 - 56/(-16). Sort d, 0, 5 in descending order. 5, d, 0 Let b = 0 + 3. Let r be (-1)/b - (0 - 1). Sort r, -0.2, -0.3. -0.3, -0.2, r Let m = 0.49 + -0.09. Let x(f) = -f. Let t be x(3). Sort m, -3/8, t in decreasing order. m, -3/8, t Suppose 10 = -5*o - g + 6*g, 0 = 3*o + g + 18. Put -4, 1, o in ascending order. o, -4, 1 Let u(z) = -z**2 - 4*z - 1. Let s be u(-4). Let i = 3 + -6. Let t be s/(-1) - (i - -2). Put t, -4, -2 in increasing order. -4, -2, t Let h = -17 + 12. Sort -0.4, h, -3. h, -3, -0.4 Let j = -4 + 4. Suppose u = 4*n + n + 19, 2*n = -4*u - 12. Put j, 1, u in descending order. 1, j, u Let p = -11 + 20. Let z = -4 + p. Put z, -3, 0.5 in decreasing order. z, 0.5, -3 Let h = 0.06 + 2.94. Let d be (1/(-2))/(0 - (-9)/(-18)). Put 2, h, d in increasing order. d, 2, h Let d be 10/125*60/(-16). Sort d, 0.5, 5/3 in ascending order. d, 0.5, 5/3 Let g = 4.67 - -0.33. Sort -2/9, g, -2 in ascending order. -2, -2/9, g Let k = 0.188 + -0.088. Sort -8, k, 2/11 in descending order. 2/11, k, -8 Let p = 12.5 - 8. Let r = 0.5 - p. Let v = 0.01 + -0.31. Sort r, 3, v in increasing order. r, v, 3 Let w = 782 + -786.87. Let j = w - 0.13. Put 2, j, -3 in decreasing order. 2, -3, j Let x = 16 - 16. Let a = -2 - x. Put 1, a, 5 in descending order. 5, 1, a Let s be 5 - ((-546)/(-15))/7. Put s, -2, 0.03 in decreasing order. 0.03, s, -2 Suppose t = -3*t + 8. Let w = 5 + -5.2. Let i = w + 4.2. Put i, 1/7, t in decreasing order. i, t, 1/7 Let x = -2 - -2.4. Let a = 397/45 + -43/5. Sort x, a, 1 in descending order. 1, x, a Let o be (-2)/6 - 37/(-3). Let m = o - 17. Let w be 3/(-8)*12/(-27). Put m, w, -0.2 in increasing order. m, -0.2, w Let a(u) = -u**3 + 7*u**2 - 5*u - 1. Let r be a(6). Let j = -10 + r. Sort 1, j, 0 in ascending order. j, 0, 1 Let n be -1*((-2)/2 - -1). Let r be 3 + (-21)/3 + 3. Let j = 7 + -11. Sort r, j, n in increasing order. j, r, n Let u = 3.4 + -3. Let l be 48/60 + 7/(-5). Sort -4, l, u. -4, l, u Let g = 136 + -1770/13. Let w(x) = -x**2 + 8*x - 8. Let q be w(7). Sort 0.5, q, g in decreasing order. 0.5, g, q Suppose i + 12 = 5*y, -y + i - 18 = -6*y. Let m = -18 + 13. Sort y, m, -2/7. m, -2/7, y Let r = 23.8 - 24. Let o = 0.4 - 0.1. Let n = r - o. Put n, 0.3, -1 in descending order. 0.3, n, -1 Let x = 15 - 4. Let j = x - 11.5. Sort j, 1, 0. j, 0, 1 Let i = -2 - -2. Suppose i = 2*d - 2 - 2. Suppose 0*l = -2*l + d. Sort l, -3, 0.1. -3, 0.1, l Let b = 0.1 - -0.1. Suppose 0 = -74*i + 73*i - 5. Sort -3/7, i, b. i, -3/7, b Let f(r) = -3*r - 2. Let s be f(-2). Suppose 4*h - 2 = -2. Put 1, s, h in decreasing order. s, 1, h Let z be (0 - 4/(-6))*-6. Let t(o) = -3*o**2 - 29*o + 1. Let p(d) = d**2 + 10*d. Let x(j) = 8*p(j) + 3*t(j). Let c be x(-8). Sort c, 0, z in increasing order. c, z, 0 Let v = 49 + -50. Sort v, -4, -5 in decreasing order. v, -4, -5 Suppose -4*d + 14 = 5*c, -c + 16 = 3*d - 0. Let o = -19 + 13. Let v be (d/22)/((-9)/o). Sort v, -0.5, -1/5. -0.5, -1/5, v Let l = -62 + 41. Let p = l + 23. Let w = -0.2 - -0.3. Put p, -0.3, w in increasing order. -0.3, w, p Suppose -5*b = -4 - 6. Suppose 0 = -5*m + 4*w + 10 + 8, 4*w = -5*m + b. Sort m, 4, 0 in decreasing order. 4, m, 0 Let y(b) = -b**3 - 6*b**2 + 7*b + 3. Let o be y(-7). Let g = 2 - 2. Suppose m + 5 - 6 = g. Sort o, m, 2. m, 2, o Let x = -4 + 4.2. Suppose a - 45 = 6*a. Let s be 1/(0 + (a - 0)). Put s, x, -1/4 in decreasing order. x, s, -1/4 Let j = -747/7 + 107. Let y(b) = -b**2 + 7*b - 5. Let u be y(4). Suppose -3*f + 12 = -u*f. Sort j, f, -1 in increasing order. f, -1, j Suppose 3*a = -0*a + 150. Suppose -s = 4*s - a. Let k = s + -7. Put k, -5, 2 in ascending order. -5, 2, k Let m = 0 + -3. Suppose 4*o - 2*o = -2*k + 92, 2*k + o = 97. Let u be (3 + k/(-15))/(-1). Sort m, u, 2 in descending order. 2, u, m Let q be 6/2 - 3 - -2. Suppose 5*p = -q*v + 13, -4*v + 4 = -4*p - 2*v. Put p, 2, -3 in ascending order. -3, p, 2 Let l = -16 + 13. Let s(m) = m**3 + 7*m**2 + 7*m + 8. Let b be s(-6). Sort l, 0, b. l, 0, b Let a be 3 - (19 + -3 + -1). Let l = a + 7. Let o be 0*(1 + 1/(-2)). Sort l, 3, o. l, o, 3 Let c be (-3)/6 - 496/(-6). Let t = 82 - c. Put 0.2, t, 1/4 in increasing order. t, 0.2, 1/4 Suppose -o + 4*q = 16, -q = -5 - 0. Sort -4, o, 0.3 in increasing order. -4, 0.3, o Let w = -8 + 6. Put -1, -4, w in descending order. -1, w, -4 Let g = -34 - -36. Put g, -2, -3, 1 in decreasing order. g, 1, -2, -3 Let x = -0.05 - 0.05. Sort 4, 3/29, x in decreasing order. 4, 3/29, x Let j = 18 + -18. Sort 8, j, 5 in decreasing order. 8, 5, j Suppose 0 = -6*v + 7*v + 3. Sort 1, -2, -4, v in descending order. 1, -2, v, -4 Let r = -90 - -363/4. Sort r, -4/7, -1 in ascending order. -1, -4/7, r Let g be (-2)/4 + (-135)/10. Let m = -10 - g. Suppose -2*w = -6*w + 4*y + 4, 3*w = -2*y + 3. Sort 5, w, m in descending order. 5, m, w Suppose -4*x + 2*g + 8 = 6*g, -5*g = x - 22. Let t = 70 + -69.8. Sort t, x, -4 in descending order. t, x, -4 Let d(o) = -2*o**2 - 14 + 13 + 0*o**2. Let a be d(1). Sort a, -4, -2 in decreasing order. -2, a, -4 Let q = 69 + -69. Sort 4, q, 3 in descending order. 4, 3, q Suppose 3*x - 3*b + 61 = -5*b, 3*x = -5*b - 67. Sort -5, -3, x in increasing order. x, -5, -3 Let j be 0*(-2 + 3) + -4. Let v(m) = -3*m**2 - 8*m - 2. Let i be v(-3). Sort i, j, 2. i, j, 2 Let a be 2 - (11/(-3))/(35/(-15)). Sort 0.2, -10, a in descending order. a, 0.2, -10 Let p(y) = -y + 6. Let s be p(7). Let v be 0/((-9)/(s - 2)). Sort -3, -4, v in decreasing order. v, -3, -4 Let l = -14 - -24. Sort l, -5, 4. -5, 4, l Let b be (-1)/((-1)/((-8)/20) - 3). Sort -5, b, -0.2, 1. -5, -0.2,
{ "pile_set_name": "DM Mathematics" }
.08. Let n be (-143)/88 - (-1 + -1). Which is the closest to -1/3? (a) t (b) n (c) 3 b Let k = 0.6132 + -0.1132. What is the closest to 2/5 in k, 1/5, 6, 0.1? k Let n = -412 - -80. Which is the closest to n? (a) -5 (b) -3/4 (c) -0.5 a Let c = 2657.3 + -2657. Let w = -15/7 - -37/14. What is the nearest to w in -4, -3/5, c? c Let i = -131.7 - -138.7. Which is the nearest to i? (a) -1/7 (b) 4 (c) 0 (d) 0.1 b Let b be ((0 - 0)/(-2))/1. Let m be (1 - b)/(-6 + 9). What is the closest to m in 5, 8, -0.5? -0.5 Let k = 57 - 39. Let n = -20 + k. Which is the closest to -0.2? (a) n (b) -2/9 (c) -5 b Let l = 4 + -4.4. Which is the nearest to -1/4? (a) 2/5 (b) -0.08 (c) l c Let h = 25.6 + -32. Let v = 2.3375 - -0.0625. Let f = h + v. What is the nearest to 2/7 in -1/2, f, 1/4? 1/4 Let u be 1/(-1)*(-1)/7. Let q = -5 + 0. Let z = 2 - 2.1. What is the nearest to z in q, 5, u? u Let c = -0.2 + 0.1. Let x = -25 + 23.6. Let z = x - -2.4. What is the nearest to z in -0.2, c, 1/5? 1/5 Let b = -102 + 25. Let h = b - -78. What is the nearest to h in 2/19, 2, 0.1? 2/19 Let j = 7662 + -7658. Let z = 20 - 5. Let u = z + -14.3. What is the nearest to u in 0.1, -5, j? 0.1 Let i(p) = p - 8. Let y be i(6). Let r = -3.933 + -0.067. Which is the closest to y? (a) 4 (b) 1 (c) r c Let b = 3 + -2.8. Let a = 7870.2 + -7870. What is the closest to a in -2/7, b, 3? b Let u = -0.36 + -0.04. Let t(l) = 2*l**3 - l**2 + 2*l + 2. Let p be t(2). Let b be 22/p + (-3 - -2). What is the nearest to b in 0.4, u, 0.2? 0.2 Let d be (-3)/(((-6)/(-4))/(-1)). Let v = -0.4 + 0. Let f = 234.1 - 234.4. Which is the nearest to 0? (a) d (b) f (c) v b Let t = 866/9 - 96. What is the nearest to t in -2/3, -3, -5/6? -2/3 Let d = 2021709 + -816892. Let i = 969877434/805 - d. Let j = i - -3/115. Which is the closest to -0.1? (a) j (b) 4 (c) 0 c Suppose -9 - 11 = 4*h. Let r = 31.7 - 29.7. Which is the closest to -1? (a) -0.2 (b) r (c) h a Let z = -0.191 - -0.001. Let f(w) = w**3 + 7*w**2 + 5*w - 8. Let y be f(-6). Which is the nearest to y? (a) 4 (b) -4 (c) z c Let q = -121 + 85. Let r = 35 + q. What is the closest to r in -0.18, -3, -0.1? -0.18 Suppose -4*x + 314 + 46 = 0. Let t be (8/x)/(10/(-25)). Which is the nearest to 0? (a) -3 (b) 4 (c) t c Let i = 0.6222 - 0.1222. Which is the closest to 1? (a) i (b) -5 (c) -45 (d) 0 a Let l = -2.06 + 1.06. What is the closest to 0.2 in l, 35/4, 2/15? 2/15 Let r = 15 - 6. Let w(t) = -2*t + 8. Let p be w(r). What is the nearest to 2 in -0.5, 1/2, p? 1/2 Let f = 327.08 + -327. Which is the closest to -1/4? (a) 3/2 (b) 0 (c) f b Suppose 2*y + j - 22 = 3*j, -26 = -3*y - 4*j. Let k be ((-15)/y)/(-2 + 8). Which is the closest to 0.1? (a) k (b) 1/8 (c) 4 b Let r = -28 - -23. Let f be (-2)/9 - 112/63. Let j be (f/(-6))/(44/24). Which is the nearest to r? (a) j (b) 4 (c) -0.1 c Let w = -14.1 - -10.1. Let s = 2/15 + -1/3. What is the closest to 0 in 0.3, s, w? s Let z = 0.6 - 0.9. Let o = 252 + -157. Let s = o + -100. Which is the nearest to -0.4? (a) s (b) z (c) 0 b Let q = 0.981 - -0.019. Let p = -4 + 5. Let m = 7.2 + -7. What is the nearest to p in q, -1, m? q Suppose 5*x - 4*j + 0*j - 12 = 0, 3*j + 9 = 3*x. Let h = -1.1 + 0.1. Let y = h - -2. What is the closest to 0.1 in -1, y, x? x Let i be (1/(-5))/((-2)/(-5)). Let d(g) = g**3 - 4*g**2 - 4*g + 2. Let k be d(5). Let q = -25/4 + k. Which is the closest to i? (a) q (b) -5/2 (c) 3 a Let p be 2/(-4) - (1/(-2) + 0). What is the nearest to p in -3, 2/13, -1/4, -0.5? 2/13 Suppose -2 = -2*y + 6. Let b be y/6 + (-4)/6. Let l = -3.9 - -0.9. What is the closest to -0.1 in -0.3, l, b? b Let z be (-23)/(-5) - 18/30. Let k be 0*1/((-7)/(14/z)). Which is the nearest to -1? (a) k (b) -1/6 (c) -8 b Suppose 2*l - 7*l = 0. Let t be (-238 + 2)*(-1 - 0). Let y = t + -1421/6. What is the closest to l in -3, y, 0? 0 Let w = -5.7 - -6. Let v = -0.33 + 4.33. What is the closest to 0 in -2/7, w, v? -2/7 Let a = 24.4 + -31. Let g = 5.6 + a. What is the closest to g in 4, 2/9, -1? -1 Let b be (-2)/6 - (-2 - -2). Let m = 129 + -128.6. What is the nearest to b in m, 1/8, 0.5? 1/8 Let m(o) = -o**2 + 4*o. Let s be m(2). Let u = 4316 + -4316.1. Which is the closest to u? (a) 2 (b) 0.2 (c) s b Let d = -191 - -192. Which is the nearest to -0.1? (a) d (b) 4/5 (c) -3/4 c Let j be 1/(23/((-230)/(-20))). What is the nearest to 0.1 in -6, 1, j, 0.1? 0.1 Let p = -37 - 13.05. Let u = -50 - p. What is the nearest to -1 in -4, u, -0.3? -0.3 Let a be (-1 - 28/(-16))/(21/(-8)). Let n = -1.1 - -1.1. What is the nearest to a in -4, n, 7? n Let s = -154 - -157. What is the closest to 0.1 in s, 0, 3/8? 0 Let y(j) = j**3 - 3*j**2 - 9*j - 1. Let r be y(4). Let g be ((-1)/r)/((-12)/36). Let i = -1/20 + -1/5. Which is the nearest to 2/3? (a) 3 (b) g (c) i b Let k = 723.6 + -649. Let d = k + -75. Which is the nearest to 2? (a) 0.1 (b) d (c) -0.5 a Let g = 25 - 76/3. Let n = 528/7 + -1511/14. Let j = n + 31. Which is the nearest to -0.1? (a) 4/7 (b) g (c) j b Let z(w) = 254*w + 1. Let v be z(-1). Let x = 1007/4 + v. Let t = 15.3 - 10.3. What is the nearest to -0.1 in 1/6, t, x? 1/6 Let r = 5/2 + -31/14. Let k(l) = l**3 + 4*l**2 - l - 8. Let o be k(-4). Suppose -2*p = -p. Which is the nearest to p? (a) r (b) o (c) -1 a Let u be (5/2)/((-5)/(-170)). Let w be (-2)/(-6)*(-102)/u. Let p = -115/327 + 2/109. Which is the nearest to w? (a) -5 (b) p (c) 1/5 b Let x be 2/50*(-17 + 22). Let v(u) = -u + 1. Let y be v(2). Let p be -1 - (y - (-10)/2). Which is the nearest to x? (a) -3/8 (b) 1/4 (c) p b Let i be (-4)/((-1)/1) + 0. Let f be ((-10)/(-75))/(i/(-6)). Let h = -111 + 1001/9. What is the nearest to h in 0, f, 0.3? 0.3 Let z = -645 - -644.7. Let f be (0 + 1)/(35/10). Which is the closest to 1? (a) f (b) -0.2 (c) z a Let n = -1 + -1. Let l = -60 - -63.975. Let v = 0.025 + l. What is the closest to n in v, 0.5, -2? -2 Let l = -0.294 - -0.088. Let x = l + -4.794. Let s = 0.02 - -1.98. Which is the closest to -2? (a) x (b) 0 (c) s b Let x = 1375/8 - 172. Let t = -0.27 - 0.03. Suppose -l - 5*w = l - 25, -4*w = -2*l - 20. What is the nearest to l in 1, x, t? x Let u = 44/105 + -2/15. Let n = -96 - -101. What is the nearest to 1 in u, n, 0.4? 0.4 Let v = -42.25 + 42. Let l = 0.1 - 0.05. Let b = l + v. What is the closest to b in 5, 2, -2/15? -2/15 Let r be (3/(-7) + 18/42)/2. Let g = -2 + 2. Let u = g + -0.1. Which is the closest to u? (a) -4 (b) r (c) -1 b Let j = 36 - 58.5. Let f = j - -12.4. Let o = -10 - f. Which is the closest to o? (a) 4 (b) -2 (c) 0.4 c Suppose 0 = 2*j + 6 - 56. Suppose j = -77*h + 82*h. Which is the nearest to 2? (a) h (b) 1/5 (c) -4 b Let m(p) = 2*p + 7. Let h be m(-5). Let x be 1 + 9/12*154/(-99). What is the nearest to h in x, -1, 2/7? -1 Let q = -0.1 - 1.2. Let s = -1 - q. Let j = 0.3 - s. Which is the nearest to j? (a) 4 (b) 3 (c) 0.2 c Let t = -15.4 - -15. Let u(p) = 2*p + 12. Let y be u(-8). Let z be y/(-7)*(-21)/(-30). Which is the nearest to -1? (a) t (b) z (c) -0.1 a Let v = -7.8 - -9.8. Let n = 5 - 0. Which is the closest to v? (a) 1/5 (b) 4 (c) n a Let l = 1.307 + -0.307. What is the nearest to 3 in 0, -0.4, l? l Let f(b) = 2*b**2 + 23*b - 23. Let u be f(-20). Let p = -4119/13 + u. What is the closest to -1/4 in -2, -6, p? p Let k = -3574/665 - -22/95. What is the closest to -2/5 in k, 0.4, -0.2? -0.2 Let l be 17/30 - 4/10. Let z = 666 - 591.8. Let o = z + -74. Which is the closest to o? (a) 0.4 (b) l (c) -4 b Let y = 17 + -10. Let k = -7.5 + y. Let n = 0.03 + -0.33. Which is the closest to 1? (a) 2/13 (b) k (c) n a Let o = 2483/3 - 829. Which is the nearest to 29? (a) -1 (b) -3 (c) o a Let j = 23.6 - 23.7. What is the closest to j in 12, 3/8, -0.5, -1/6? -1/6 Suppose 5*x - 2*x - 6 = 0. Suppose -2 = -o + x*o. Which is the nearest to o? (a) -0.2 (b) -4/3 (c) 5 b Suppose -3*h + 131 = 5*a - a, 2*h = 4*a - 126. Let k = -19 + a. Let z = k + -12. What is the closest to 1 in 0.3, z, 3? z Let z = 4.473 + 0.527. What is the closest to z in 3, 4, -2/11? 4 Let g = -2 + -2. Let w = 7 + g. Let q = 9/8 - 11/8. Which is the closest to q? (a) 1/3 (b) -3/2 (c) w a Suppose 0*p = -2*p + 5*n - 5, 3 = -3*n. Let j be (-2)/(244/(-64) + 4). Let y = j -
{ "pile_set_name": "DM Mathematics" }
2*d. Give u(o(i)). -12*i**2 - 5712*i - 48 Let a = -20 + 23. Let o(u) = -30*u**2 - 3*u + 2. Let y(m) = -30*m**2 - 2*m + 2. Let k(f) = a*y(f) - 2*o(f). Let t(x) = 2*x. What is k(t(r))? -120*r**2 + 2 Let m(i) = -1100*i**2. Let t(z) = 10*z. Give m(t(y)). -110000*y**2 Let b(g) be the second derivative of -g**3/2 + g. Let v(z) be the second derivative of -z**3/6 - 2*z + 6. Calculate v(b(x)). 3*x Let l(i) be the second derivative of -i**3/3 - 69*i. Let u(b) = 30*b. Determine u(l(s)). -60*s Let y(s) = 2*s**2. Let o(d) = -4*d - 2. Let z(h) = -99*h - 51. Suppose 0*x = 8*x + 48. Let w(t) = x*z(t) + 153*o(t). Calculate y(w(v)). 648*v**2 Let w(q) = -95*q + 95*q + 4*q**2. Let m(z) = z**2 + 21. Determine m(w(v)). 16*v**4 + 21 Let f(r) = 6*r**2. Let c(o) = -o**2 - 36617. Give c(f(v)). -36*v**4 - 36617 Let n(f) = -2*f**2. Let j(y) be the first derivative of -3*y**4/8 - 9*y**2 + 11. Let z(p) be the second derivative of j(p). What is z(n(m))? 18*m**2 Let q(m) = 3*m**2 - 2*m + 12. Let i(f) = -80*f**2 + 55*f - 325. Let p(s) = -2*i(s) - 55*q(s). Let r(z) = 2*z**2. What is p(r(l))? -20*l**4 - 10 Let j(m) = 0 + 7*m**2 + 0. Let u(x) be the second derivative of -x**3/6 - 9*x - 3. What is j(u(g))? 7*g**2 Let d(b) = 3*b. Let o(w) = 22*w + 6. Let c(q) = -154*q - 44. Let s(h) = 6*c(h) + 44*o(h). Determine s(d(i)). 132*i Let v(h) = 18*h. Let k(c) = 21*c**2 + 16*c**2 - 36*c**2. Give k(v(r)). 324*r**2 Let c(t) = 55*t. Let p(x) = 993*x**2 - 3. Determine p(c(h)). 3003825*h**2 - 3 Let n(b) = -861*b - 20. Let m(c) = 5*c**2. Determine n(m(a)). -4305*a**2 - 20 Let i(d) = 5*d**2 - 2. Let b(r) = -37818*r - 3. Give b(i(v)). -189090*v**2 + 75633 Let a(s) = -s + 0*s + 3*s. Let c(p) = -5*p**2 - 7*p - 7. Let z(d) = -d**2 - d - 1. Suppose 4 = 7*n - 10. Let f(i) = n*c(i) - 14*z(i). What is a(f(v))? 8*v**2 Let t(v) be the third derivative of v**5/10 - 11*v**3/6 - 21*v**2. Let p(d) = 2*d. What is p(t(z))? 12*z**2 - 22 Let d = 1 + 6. Let y(w) = 2*w - 11*w + d*w. Let b(m) = -25*m. Give y(b(c)). 50*c Let r(x) = -2471137*x. Let t(u) = -2*u**2. Determine t(r(b)). -12213036145538*b**2 Let l(b) = -6*b. Let q(i) be the first derivative of -17*i**2/2 + 7. Calculate q(l(k)). 102*k Let n(m) = 138*m. Let p(z) = 631*z. Calculate p(n(l)). 87078*l Let q(t) = 13*t - 848. Let m(v) = 6*v. Calculate m(q(j)). 78*j - 5088 Let d(r) = 0 - 8*r + 0. Let m(x) be the third derivative of -34*x**2 + 0 + 1/60*x**5 + 0*x**4 + 0*x + 0*x**3. Calculate m(d(l)). 64*l**2 Let v(j) = j**3 - 6*j**2 + 8*j + 12. Let n be v(5). Let g(x) = 7*x + 6*x + 5*x - n*x. Let c(y) = 3*y. Give c(g(a)). -27*a Let m(u) = -u**2 + 10*u + 9. Let h be m(11). Let w(p) = -21*p + 2. Let k(c) = -106*c + 10. Let j(d) = h*k(d) + 11*w(d). Let t(y) = y. Give j(t(b)). -19*b + 2 Let i(d) = 2*d + 60996. Let g(t) = t**2. Calculate i(g(f)). 2*f**2 + 60996 Let x(f) = 2*f**2. Let j(u) be the second derivative of -u**3/6 - 133*u**2/2 + 23*u - 10. Give x(j(b)). 2*b**2 + 532*b + 35378 Let o(w) = -250 + 250 + 5*w. Let z(r) = r**2. Give z(o(t)). 25*t**2 Let h(t) be the second derivative of -t**4/6 + 324*t. Let a(d) be the third derivative of 3*d**4/8 - d**2. Determine h(a(j)). -162*j**2 Let g(b) = 6748*b + 3. Let o(t) = -t. Determine o(g(u)). -6748*u - 3 Let s(w) = 2*w**2. Let j(g) = -28*g. Suppose 8*m - 79 = -15. Let x(h) = h. Let v(r) = m*x(r) - 2*j(r). Calculate v(s(t)). 128*t**2 Let c(l) = 35*l - 39*l - 11*l. Let t(z) = -21*z. What is t(c(j))? 315*j Let m(i) = 2*i**2 - 41*i. Let k(t) be the first derivative of -t**3/3 - 149. Give m(k(s)). 2*s**4 + 41*s**2 Let a(u) = -20*u. Let t(m) be the third derivative of -m**4/3 + 414*m**2. What is a(t(c))? 160*c Let f(m) = 259*m - 56. Let b(y) = -23*y + 5. Let x(l) = 56*b(l) + 5*f(l). Let z(d) = 3*d - 1. Calculate x(z(p)). 21*p - 7 Let s(z) = -z. Let k(r) = 7 - 101*r**2 - 3 - 6 + 2. What is s(k(t))? 101*t**2 Let p(u) = 2*u. Let b(w) = 3*w + 3. Let l(x) = 1. Let j = -18 - -24. Let c(f) = j*l(f) - 2*b(f). Give c(p(o)). -12*o Let m(j) = 3*j. Let o(l) = 4934*l. What is m(o(i))? 14802*i Let k(f) = -5*f**2. Let r(q) = -21320*q. Give r(k(s)). 106600*s**2 Let x(n) = -7*n. Let u be ((-24)/(-20))/((-4)/(-10)). Let l(r) be the first derivative of 11 + 52*r - 25*r - 27*r - r**u. What is x(l(c))? 21*c**2 Let j(p) = -1. Let y(l) = 2*l - 6. Let f(z) = -6*j(z) + y(z). Let q(k) = -k**3 + 4*k**2 + 7*k - 4. Let v be q(5). Let g(a) = -2 + v + 10*a - 4. What is g(f(i))? 20*i Let h(l) be the first derivative of 2*l**2 - 15. Let w(a) = 3*a + 7. Determine h(w(k)). 12*k + 28 Let u(y) be the third derivative of -y**4/8 + 314*y**2. Let n(l) be the third derivative of -3*l**4/8 - l**2. Calculate u(n(t)). 27*t Let r be 22/4 - (-9)/18. Let o(x) = -17*x**2 - 26*x**2 - 2*x**2 + r*x**2. Let q(i) = i. Calculate q(o(s)). -39*s**2 Suppose 0 = 7*l - 5*l - 426. Let k(b) = -5*b - 2*b + 213 - l. Let h(t) = 3*t. Determine k(h(o)). -21*o Let u(v) be the second derivative of -13*v**3/6 - 3*v**2/2 - 2178*v. Let p(c) = -c - 3 + 3. What is u(p(q))? 13*q - 3 Let b(u) = 3 - 2 + 4 - u**2. Let j(d) = -29 + 14 + 14. Let p(a) = -b(a) - 5*j(a). Let y(q) = 9*q. Give y(p(s)). 9*s**2 Suppose 0 = -4*y + 7*y - 69. Let s(q) = -44*q**2 + 23*q**2 + y*q**2. Let c(a) = 4*a**2. Calculate c(s(l)). 16*l**4 Let k(q) = 18*q. Let n(a) = -586*a. Determine n(k(r)). -10548*r Let j(m) be the third derivative of m**5/60 - 7*m**2. Let p be -1 - ((-4)/(-10) - 17/5). Let a(z) = 6*z - p*z + 0*z. What is j(a(f))? 16*f**2 Let t(p) be the first derivative of 0*p + 0*p**2 - 1/3*p**3 - 7. Let b(x) be the third derivative of x**4/8 + 2*x**2. What is t(b(u))? -9*u**2 Let g(k) = 7727*k - 2. Let v(u) = 2*u. Calculate g(v(r)). 15454*r - 2 Let c(z) = 2*z**2. Let w(j) = -j + 3. Let p(y) = -3*y + 8. Let g(b) = -3*p(b) + 8*w(b). Calculate g(c(f)). 2*f**2 Let y = -4 - -16. Let n(i) = -6*i**2 + 17*i**2 - y*i**2. Let p(l) = l - 5. Let x(m) = -1. Let k(r) = -p(r) + 5*x(r). Give k(n(v)). v**2 Let w(d) = -5*d**2. Let f(b) = -45*b + 47. Let t be f(1). Let n(a) be the second derivative of -9*a - 1/2*a**3 + 0 + 0*a**t. What is n(w(j))? 15*j**2 Let o(q) be the third derivative of 5*q**4/24 + q**2 + 603*q. Let f(g) = -172*g**2. Give f(o(n)). -4300*n**2 Let m(w) = 2*w**2 - 22*w. Let x(y) = 25 - 11 - 14 + 21*y - 18*y. Give x(m(g)). 6*g**2 - 66*g Let m(u) = -13*u**2. Let p(b) = -24*b**2 - 11*b**2 + 56*b**2. Give m(p(n)). -5733*n**4 Let b(f) = 7*f - 21. Let q be b(10). Let c(v) = -q*v**2 + 94*v**2 - 47*v**2. Let g(r) = -2*r. Give g(c(w)). 4*w**2 Let l(t) = -32*t. Let a be 1/3 - 47/(-3). Suppose -4*p + a = -0*g - 2*g, 0 = -4*p + 20. Let n(d) = -3*d**g + d**2 + 4*d**2 + 0*d**2. What is n(l(i))? 2048*i**2 Let z(d) be the first derivative of -d**6/45 - d**3 + 7. Let f(s) be the third derivative of z(s). Let m(g) = -g**2 + 4*g - 4*g. Give f(m(u)). -8*u**4 Let y(v) = v**2 + 87. Let w(c) = 7*c. Let j(g) = 64*g. Let z(t) = 3*j(t) - 28*w(t). Give z(y(x)). -4*x**2 - 348 Let i(w) = -2*w**2. Suppose -8 = -3*l - 11. Let o(b) = b**2 - 1. Let q(r) = 9*r**2 - 2*r - 2. Let c(v) = l*q(v) + 2*o(v). Determine c(i(y)). -28*y**4 - 4*y**2 Let f(h) = -37*h + 11. Let i(d) = -13*d + 4. Let l(n) = 4*f(n) - 11*i(n). Let g(m) = -7*m**2. Give g(l(j)). -175*j**2 Let s(u) = -9*u**2. Let q(m) = 53*m**2 + 9*m + 15. Determine q(s(l)). 4293*l**4 - 81*l**2 + 15 Let l(a) = -6*a**2 + 13*a**2 - 7*a**2 + 2*a**2. Let z(g) = -18*g**2. Determine z(l(f)). -72*f**4 Let z(d) = d**2. Let s(p) = -318*p**2 + 2*p - 20. Calculate s(z(h)). -318*h**4 + 2*h**2 - 20 Let j(d) = -3*d**2 + 108. Let c(a) = 2*a**2 - 333*a. Determine c(j(v)). 18*v**4 - 297*v**2 - 12636 Let o(w) be the second derivative of -w**3/3 + 826*w - 1. Let t(x) = 17*x**2 - 5*x**2 + 7*x**2. Give o(t(z)). -38*z**2 Let g(k) = -19*k**2 + 8*k. Let j(x) = 6*x**2 - 3*x. Let i(v) = 3*g(v) + 8*j(v). Let u(a) = -80*a - 80*a + 159*a. What is u(i(d))? 9*d**2 Let t(n) = -10*n + 128. Let f(g) = -3*g. Give t(f(c)). 30*c + 128 Let j(p) be the first derivative of p**5/40 - 2*p**3 - 10. Let o(b) be the third derivative of j(b). Let n(l) = -7 - 2*l - 4*l + 7. Give o(n(k)). -18*k Let g(w) = 3*w. Suppose -3*h - t + 0*t = 0, -2*t = -2*h. Let m(c) = -3 + 17*c**2 + h + 3. Determine g(m(s)). 51*s**2 Let t(j) be the second derivative of 17*j**3/6 - 8*j. Let v(i) be the second derivative of i**3/6 - 47*i. Give v(t(s)). 17*s Let n(d) = -6*d -
{ "pile_set_name": "DM Mathematics" }
Sort g, 1/7, d in descending order. d, 1/7, g Let o be ((-102)/9)/((-6)/9). Suppose -o*h = -13*h + 12. Let y = 0.7 - -0.3. Sort -1/2, h, y. h, -1/2, y Let c = 4 - 5. Let a be (1 + -5)*(-47)/(-94). Sort c, a, -4. -4, a, c Let t = 2 + -1. Let a(j) = 2*j + t + 1 + 4 - 3*j. Let p be a(6). Sort 0.5, p, -2/3 in decreasing order. 0.5, p, -2/3 Suppose 17 = 8*j - 7. Let b(o) = 5*o**3 + o**2 + 2*o + 1. Let s be b(-1). Put s, j, -1 in ascending order. s, -1, j Let z = 8 - 6. Let m be 4*(-1)/3*57/(-418). Sort m, 4, z in decreasing order. 4, z, m Let u(h) = 3*h - 19. Let j be u(8). Suppose 5*r = -3*y - 23, j*r + 21 = 1. Sort 2, y, 4 in decreasing order. 4, 2, y Let m be 73/(0 + 7/(-14)). Sort -2, m, -3. m, -3, -2 Suppose -3*u - 2*u = 3*y + 6, -5*u - 9 = 2*y. Suppose 15 = 2*x + 5. Suppose k - x*w - 19 = 0, 2*k + w = -w - 10. Sort k, -2, y in decreasing order. y, k, -2 Let z = 0.001 + -23.501. Let k = -24 - z. Sort k, -4/3, -3. -3, -4/3, k Suppose 0 = 13*r - 46 + 20. Suppose 1 = 4*y - 3. Put 11, r, y in decreasing order. 11, r, y Let z = -3 - 21.5. Let x = z - -24. Put -3, x, -5 in increasing order. -5, -3, x Suppose 0 = 56*s - 58*s + 4. Put s, -3, 72 in decreasing order. 72, s, -3 Suppose -11*s = -2*s - 18. Put -4, -5, s in decreasing order. s, -4, -5 Let w(d) = d**2 - 5*d + 3. Let s(y) = y**2 + y + 5. Let i be s(0). Let u be w(i). Let j(c) = 131*c + 4845. Let a be j(-37). Sort 2, a, u. a, 2, u Let c = 100727 + -212812. Let h = c - -3698293/33. Let u = -46/3 - h. Put u, 1, 3 in ascending order. u, 1, 3 Let k(x) = 7*x**3 - 5*x**2 + 33*x + 76. Let a be k(-2). Sort -3, 4, a. a, -3, 4 Let v = -101 - -106. Sort 4, v, 27 in decreasing order. 27, v, 4 Let b = -15 - -16. Suppose -3*s + 3*q = -12, -23 = -s + 4*q - 7. Sort 4, -13, s, b in descending order. 4, b, s, -13 Let w = 149 - 154. Let z(f) = f**2 + 7*f + 11. Let y be z(-5). Sort 0, y, w in descending order. y, 0, w Let t(m) = m**2 + 39. Let c be t(0). Suppose c = -5*l - 231. Let k = l - -217/4. Put -1/8, -5, k in increasing order. -5, -1/8, k Let r = -4 + 4. Suppose 2*k = -5*t + 18, -9 = 2*t - 4*k + 3. Suppose 0 = t*i + 3*c + 5, -5*i + 4*c - 3*c = 21. Sort i, -3, r. i, -3, r Let y be (-1*3/1)/(414/276). Put 22, 4, y, -4 in ascending order. -4, y, 4, 22 Suppose 11*m - 8 = 9*m. Sort -3, m, -0.32, -1 in descending order. m, -0.32, -1, -3 Let l = 24 - 18. Let v = -1 + l. Let j be 4 + -5 + 1 - 3. Sort 2, j, v. j, 2, v Suppose 5*x + 3*r - 9 = 4*x, -2*x + 2*r = -2. Let m be 5 - 22/x - (-1)/3. Let a = 304/9 + -34. Sort a, m, 0.2 in decreasing order. 0.2, a, m Let x = 36 - -60. Let w = x - 91. Let i = -1.7 - -2. Sort i, w, -1 in decreasing order. w, i, -1 Let g = 1.9 + 0.1. Let a = -5 + 7.8. Let b = 0.8 - a. Sort g, b, 0.4 in descending order. g, 0.4, b Suppose 0 = -4*g - 2 - 18. Let l = -6 - -2. Suppose 236*q - t + 9 = 233*q, -q = -3*t + 3. Sort l, q, g. g, l, q Suppose -4*r - 4*f + 6 = -f, -r - 10 = -5*f. Suppose 11 = -2*t + 4*t - 5*a, -2*a - 2 = 0. Suppose t*q - 6 = q. Sort 4, r, q. r, q, 4 Let r = 535 - 535. Put -51, r, 1 in increasing order. -51, r, 1 Let t = 0.8 - 0.5. Let l = -0.8 + t. Let a = -412/3 - -137. Put a, -5, l in decreasing order. a, l, -5 Let n(m) = -13*m + 639. Let k be n(49). Sort k, 120, -5 in decreasing order. 120, k, -5 Let y(v) = 14*v - 747. Let z be y(54). Sort z, 24, 5 in decreasing order. 24, z, 5 Let l = 0.06 + -0.12. Let d = 2 + 3. Let s = 3913/4 + -11743/12. Sort d, l, s. s, l, d Suppose -4*w + z + 16 = 0, 41*z = 2*w + 40*z - 6. Sort 3, w, -51 in ascending order. -51, 3, w Let q = -146 - -145. Let x = 0.05 + 0.02. Let w = -0.13 + x. Put -2, q, w in decreasing order. w, q, -2 Let o = 45.019 + -0.019. Let g = -70 - -111. Let i = g - o. Put 0.1, -3, i in increasing order. i, -3, 0.1 Let y = 0.61 + 0.26. Let j = y + -0.07. Let n = -0.6 + j. Sort 5/3, 9, n in descending order. 9, 5/3, n Suppose 0 = 19*c - 23*c. Sort 5, 51, c in ascending order. c, 5, 51 Let y be 178/(-8) - (-2)/2. Let q = -21 - y. Let o = 133.72 - 134.12. Sort q, o, 1 in increasing order. o, q, 1 Let w = 0.73 + -0.42. Let f = 3.31 - w. Put 2/11, f, 1 in decreasing order. f, 1, 2/11 Let y = -11 - -10. Suppose -62 - 33 = 5*t. Let g be 20/190 + (-93)/t. Sort y, g, -2/9 in increasing order. y, -2/9, g Let r = -20530 - -20505.982. Let f = -0.018 - r. Let u = f - 24.05. Put 1, 0.2, u in ascending order. u, 0.2, 1 Let m be 1*(1 + 1/(-1)). Suppose 3*l + m = h - 2, 2*l + 12 = -2*h. Suppose 2*g - 15 = -g. Put 1, l, g in increasing order. l, 1, g Let k(c) = -c + 16. Let r be k(6). Suppose 15 = -5*j + r. Sort -0.1, j, 0.02 in descending order. 0.02, -0.1, j Let g(n) = n**2 + 14*n + 15. Let y be g(-13). Let j be (-1 - (5 - (8 + 1))) + 0. Sort -3, j, y, 1 in decreasing order. j, y, 1, -3 Let r = -41.8 - -42. Sort r, -110, 2/15. -110, 2/15, r Let u = 0.022 + -0.122. Let n = 17 + -13. Let c = 7 - n. Put 5, u, c in ascending order. u, c, 5 Let c(z) = 2*z - 7. Let b be c(5). Suppose 3*k = 21 - 6. Suppose -b*u = -5*v + 3, -u - 2*u = k*v - 27. Sort 5, -4, v. -4, v, 5 Let d be (-28)/(-10)*(-35)/14 + 11. Let h = -2 + 0. Sort h, 5, d, 1 in ascending order. h, 1, d, 5 Let w be (8/(-30))/((-8)/12). Let x(b) = b**3 + 8*b**2 + 9*b + 6. Let s be x(-6). Suppose j = -3*p + 8*p + s, 3*j = 12. Sort -2/9, p, w in decreasing order. w, -2/9, p Let o = 83 + -80. Suppose o*s - 46 = -4*r, 0*r - 4*r + 64 = 4*s. Sort -0.1, s, 0 in increasing order. -0.1, 0, s Let s(o) = o**3 + o**2 - 90*o + 4. Let m be s(-10). Sort 8, m, 1, -3 in descending order. 8, m, 1, -3 Let a = 48 + -86. Let c = 118/3 + a. Put c, -3, 2 in increasing order. -3, c, 2 Let t = -0.075 + -0.025. Sort 4, t, 2. t, 2, 4 Suppose -6*s - 3*s - 18 = 0. Let g be (s + 1)/(-3 + 2). Sort 4, g, -3 in ascending order. -3, g, 4 Suppose 0*m = -2*m - 5*x - 9, 0 = -2*m + 2*x - 2. Suppose 197*f + 78 = 171*f. Sort f, -5, m, 9 in ascending order. -5, f, m, 9 Let y = -10141/21 - -483. Suppose -x - 2*j = j + 2, -5*j + 10 = -x. Put 4, x, -0.2, y in decreasing order. 4, y, -0.2, x Let q = -51 - -75. Let p = q - 19. Sort 4, p, 0.4 in increasing order. 0.4, 4, p Suppose 5*i + 5 - 65 = 0. Suppose -8*d + 2*d = -i. Sort -4, 0, d. -4, 0, d Suppose -3*w = 5*i + 25, 2*i = -3*w - 2*i - 23. Put -2, 5, w in increasing order. w, -2, 5 Let y(z) = -z + 13. Let u be y(5). Suppose -u*x = -4*x - 20. Let p = -5 + 8. Put x, 2/25, p in decreasing order. x, p, 2/25 Let p = 13 - 14.4. Let r = 1 + p. Let i be 12/(-14)*3*(-28)/18. Sort i, 0.2, r in decreasing order. i, 0.2, r Suppose 0 = 3*d + 12 + 39. Let y = -3 - 9. Let h = d - y. Sort -3, h, 1. h, -3, 1 Let z = 0.8 + -0.6. Let v = -14.3 + 27.3. Sort -2, z, v, -0.1 in increasing order. -2, -0.1, z, v Suppose -5*d - 17 = -m, -21*d + 2*m + 10 = -22*d. Put 24, d, 2, 10 in increasing order. d, 2, 10, 24 Suppose -4*m - 25 = -17. Let s(y) = -2*y**2 - 3*y + 3. Let b be s(m). Sort 5, b, -4, -5. -5, -4, b, 5 Let v be (52 + -42)/(10/4). Put 3, v, 0, -10 in decreasing order. v, 3, 0, -10 Let t = 5.1 + -2.3. Let x = t + -3. Let p = -0.2 - 4.8. Put 2, p, x in decreasing order. 2, x, p Let a be (-2)/3*((-200)/(-30) + -6). Sort -0.1, a, -5, 7.2 in descending order. 7.2, -0.1, a, -5 Suppose 16 = 5*n - 9. Suppose -n*z = -s + 33, z + 0*s + 11 = -2*s. Let t = -0.17 - 0.03. Sort t, 1, z in decreasing order. 1, t, z Let j(z) = -60*z - 235. Let t be j(-4). Sort 1, 2, t, 4 in descending order. t, 4, 2, 1 Let o be (6*(-28)/8)/1. Let a = -3 + 9. Let y be ((-2)/a)/((-7)/o). Sort 5, y, 2/3 in decreasing order. 5, 2/3, y Let t = 6 - 1. Suppose -7*l + 3*l = -5*r - 43, 5*r - 42 = -l. Suppose 20 = d + l. Sort d, t, -2 in descending order. t, d, -2 Let v be 17 + (-20 - -3) + (1 - 1). Put -8, v, -5, 6 in increasing order. -8, -5, v, 6 Let s(o) = 2*o**3 - 8*o**2 + o - 3. Let f be s(4). Sort -1, f, -2, -4. -4, -2, -1, f Let o be 6/(5 - 6)*(-14)/21. Put -2, 6, o, -0.5 in increasing order. -2, -0.5, o, 6 Suppose 0 = -10*t + 13*t + 3*s + 6, -t - 4*s + 1 = 0. Sort 0, 1, 2, t in increasing order. t, 0, 1, 2 Let o be ((-2)/8)/(0 + 1). Let h be (-2)/5 - (-10)/(140600/5964). Let w = h - -3/37. Sort w, 0.2, o in ascending order. o, w, 0.2 Let f = 0.02 + -0.32. Let u = -9.5 - 3. Let y = u - -13. Put f, y, -0.4 in decreasing order. y, f, -0.4 Let l be 4/((-48)/(-20))*3. Suppose 2*k - k = -l. Sort k, 0, 1 in ascending order. k, 0, 1 Su
{ "pile_set_name": "DM Mathematics" }
/3)*m/(m**(-2/23)/m*m))**(1/8) assuming m is positive. m**(13/138) Simplify l**5/(l**(-2/23)/l) assuming l is positive. l**(140/23) Simplify (d*d/(d*d**7))**17 assuming d is positive. d**(-102) Simplify (v**(-4/5)/v)**(-47) assuming v is positive. v**(423/5) Simplify (p/(p/((p**4/p)/p*p)))/(p**(-1/4)/p)*(p/p**(-1))/p**(-4/5) assuming p is positive. p**(141/20) Simplify (a**4/a**0)**35 assuming a is positive. a**140 Simplify p*(p**(-15)*p)/p*p*p**(-8/5) assuming p is positive. p**(-73/5) Simplify h/h**4*h*h*h*h**(-5)*(h*(h**(-4)/h)/h*h)/(h**(1/2)*h) assuming h is positive. h**(-21/2) Simplify (w/((w/(w/(w/w**(4/11)*w)))/w))/w**(1/7) assuming w is positive. w**(17/77) Simplify (n*n**1/n)/((n/((n*n**9)/n)*n*n)/n*n*n)*(n/(n*n**(-1/8)*n))/(n*n**(-9)*n) assuming n is positive. n**(97/8) Simplify c**(3/17)/(c**28*c) assuming c is positive. c**(-490/17) Simplify (b**1/b)**(-8/9)*b/(b**(3/10)/b)*b*b/(b/(b/b**(-2/5)))*b assuming b is positive. b**(51/10) Simplify r**(14/3)/((((r**(-27)*r)/r)/r)/r) assuming r is positive. r**(101/3) Simplify (h**(-29))**47 assuming h is positive. h**(-1363) Simplify (m**(-2/11)/((m/(m/((m/(m*m**(-3/2)))/m)*m))/m))/(m**(-8)*m**(-5)) assuming m is positive. m**(315/22) Simplify r**(2/17)*r*r*r/(r*r*r*r**5) assuming r is positive. r**(-83/17) Simplify (c**(-8)/c**(-5/2))/((c/(((c**(-1/12)*c)/c)/c*c*c*c))/c*c**(1/5)) assuming c is positive. c**(-227/60) Simplify (h/(h**(-1/2)*h))**(-3/4)/(h/h**(1/4))**(18/7) assuming h is positive. h**(-129/56) Simplify f**3/f*f*f**(-2/19)*f*f*f/f**1*f/(f**8*f) assuming f is positive. f**(-59/19) Simplify (v/(v/v**(-2/13))*(v/(v/v**5))/v)**9 assuming v is positive. v**(450/13) Simplify ((y**(-2/17)*y)/y)/y*y**(-2/15)*y*(y/(y**(-10)/y))/y*y*y**(4/5) assuming y is positive. y**(640/51) Simplify b/b**(3/7)*(b**(2/27)*b)/b*(b*(b/(b/(((b/(b*b*b**(2/7)))/b)/b)))/b)/(b/(b*((((b/(b**(1/5)*b))/b)/b*b)/b*b)/b)) assuming b is positive. b**(-4574/945) Simplify (f/f**0*f*f**(1/5))/(f/(f**9/f*f)*f*f**3*f) assuming f is positive. f**(26/5) Simplify (c*c**(2/7)/c*c)**3*(c*c**(-2/3)*c)**34 assuming c is positive. c**(1033/21) Simplify (k**(-1/13)/k)/(k**(-3/14)/k) assuming k is positive. k**(25/182) Simplify (w*w**0)**4*w**3/(w**(-3/2)/w) assuming w is positive. w**(19/2) Simplify ((t*t**0)/t)**(2/43)*t**5*t**3 assuming t is positive. t**8 Simplify (m**(1/11)*m)/m**(-3/5) assuming m is positive. m**(93/55) Simplify (t**(-1/4)*t**(-3/8)/t)/(t/(t/((t/t**(-2/5))/t)))**35 assuming t is positive. t**(-125/8) Simplify (o*o*o**(-1/4)/o*o*o)/((o*o**(-6)*o)/o)*(o/o**(1/5))/o**3 assuming o is positive. o**(111/20) Simplify ((t**(-2)*t)/(t/t**(-2/25)))**41 assuming t is positive. t**(-2132/25) Simplify s/s**(-38)*s**(-4/7)/s assuming s is positive. s**(262/7) Simplify l**2*l**(-5/6)*l*l*l/l**(-3/7)*l*l*l**(1/4) assuming l is positive. l**(575/84) Simplify ((((j**(-6/11)*j*j)/j)/j)/((j**(-4)/j*j)/j))/(j/(j/(j**0*j))*j)**(-8) assuming j is positive. j**(225/11) Simplify ((h*h*h**(-8)*h)/h*h)/(h**(-1/6)/h)*(h/((h/(h*h*h**0*h))/h))**(-5/6) assuming h is positive. h**(-43/6) Simplify ((m*m*m*m*m**(-2)*m)/((m/m**3*m)/m))**25 assuming m is positive. m**125 Simplify (q/(q*q/(q/q**(-1)*q)))/q*q**(-21) assuming q is positive. q**(-20) Simplify (b**1*b/b**(-1/9))/((b**(2/9)*b)/b**(-4)) assuming b is positive. b**(-28/9) Simplify (s/(((s/(s/((s/((s/s**(-1/3))/s))/s)*s))/s)/s)*s)**20/(s**(-7)/((s/(s/s**(1/11)))/s*s)) assuming s is positive. s**(3754/33) Simplify (((b**0/b)/b)/b*b**(3/7)/b)/(b/(b*b**10)*b**(1/8)) assuming b is positive. b**(353/56) Simplify (y/(y**(1/2)/y)*y**(1/3))**(-12) assuming y is positive. y**(-22) Simplify (g/(g/(g/g**(-2))))**24/(((g**(5/7)/g)/g)/((g*g**(-3/5))/g)) assuming g is positive. g**(2544/35) Simplify j**(-2/19)*j*(j*j**4*j)/j*j**(-1/4)/j**(-6) assuming j is positive. j**(885/76) Simplify (x*x**(-6))/(x/x**(9/5)) assuming x is positive. x**(-21/5) Simplify (b**33)**(-1/63) assuming b is positive. b**(-11/21) Simplify (k/(k**(1/3)*k*k))**(9/7) assuming k is positive. k**(-12/7) Simplify (y**(2/49)/y)/y*y*y*y/((y**(-1/12)*y)/y) assuming y is positive. y**(661/588) Simplify (j**(1/2)/(j**7/j*j*j))/(j*j/((j/(j*j/(j*j/j**(-2))*j))/j))**(8/7) assuming j is positive. j**(-121/14) Simplify ((o/o**(-3))/o**(-1/2))/(o**(1/2)/o**(-1/5)) assuming o is positive. o**(19/5) Simplify (m**(-1/4)*m**(-7/6))**(-4) assuming m is positive. m**(17/3) Simplify w**8/((w/w**(-13)*w)/w) assuming w is positive. w**(-6) Simplify p**(7/3)*p**(-16) assuming p is positive. p**(-41/3) Simplify h**(-11)*(h/(h**(5/4)/h*h*h)*h*h)/h*h assuming h is positive. h**(-41/4) Simplify (x/((x/(x**(-8)*x))/x)*x)**(-38) assuming x is positive. x**190 Simplify (b/b**(-4/7))**(-16) assuming b is positive. b**(-176/7) Simplify (h**(-1))**(-10/17) assuming h is positive. h**(10/17) Simplify (s/(s**(1/21)*s)*s**(-2/13))**8 assuming s is positive. s**(-440/273) Simplify ((g*g**(-7/5))/g)/g**(5/4) assuming g is positive. g**(-53/20) Simplify ((g/g**(23/5))/g*g)/g*g/(g*g/g**10) assuming g is positive. g**(22/5) Simplify n**(-14/9)*(n**(-5/6)/n*n*n)/n assuming n is positive. n**(-43/18) Simplify (m/(m*m/(m/(m*m*m**(-1)/m))*m))**(-48)*m**(-7/2)/(m/((m**(1/3)*m)/m)) assuming m is positive. m**(263/6) Simplify (w*w*w*w/(w**(-10)/w))/(w*w**(1/2)*w) assuming w is positive. w**(25/2) Simplify ((v/v**6)/((v/v**(-3/5))/v))**42 assuming v is positive. v**(-1176/5) Simplify (j/(j/(j*j*j*j/j**(-2/125))))/(j*j/(((j*j**(-14))/j)/j)*j) assuming j is positive. j**(-1748/125) Simplify (l**2*l/l**(-1/7))/(l**1)**(-8/7) assuming l is positive. l**(30/7) Simplify (j/(j/j**4)*j*(j*j*j**(1/2))/j)**7 assuming j is positive. j**(91/2) Simplify ((u*u**8/u)/u**8)/(u**8*u*(u**(-3)*u*u)/u) assuming u is positive. u**(-7) Simplify p**3/p*p/(p*p**(-24)*p*p)*p assuming p is positive. p**25 Simplify (a*a*a**(-2/29)*a)/a**21 assuming a is positive. a**(-524/29) Simplify ((k/((((k/(k/k**(-1)))/k)/k)/k))**23)**49 assuming k is positive. k**5635 Simplify (z**(-1))**(-5/3)/(z*z**(1/2))**(-2/57) assuming z is positive. z**(98/57) Simplify ((c*c**(-1/2))**(1/5))**34 assuming c is positive. c**(17/5) Simplify r**20/r*r**(-2/13)/r assuming r is positive. r**(232/13) Simplify (a*a/(a*a**8))/a**(-13) assuming a is positive. a**6 Simplify (t**1)**5/(t**4/t**(6/11)) assuming t is positive. t**(17/11) Simplify ((q/(q*q**18))/q*q*q)/((((q/(q*q**(-1/10)*q))/q)/q)/q) assuming q is positive. q**(-131/10) Simplify (((i*i/(i/((((i*(i/(i**(-2/5)*i))/i)/i*i)/i)/i))*i)/i)**(-1/24))**(2/17) assuming i is positive. i**(1/340) Simplify (k**(1/2)*k*k)**(-39)*(k/k**(1/2))**18 assuming k is positive. k**(-177/2) Simplify x**(17/2)*(x*x*x**(-3/4)*x)/x assuming x is positive. x**(39/4) Simplify l**0*l**(-7)*l**(-2/11)*l*l**(-7) assuming l is positive. l**(-145/11) Simplify v**(-1)*v/v**(-4/3)*v*(v**0/v)**(18/11) assuming v is positive. v**(23/33) Simplify (v/(v*v/(v**(-1/4)/v)*v)*v/((v*v**12*v)/v)*v)**(-8/3) assuming v is positive. v**38 Simplify ((i**(-30/11)/i*i)/i)/(i*i*i**5*i*i) assuming i is positive. i**(-140/11) Simplify (((n*n**(-4)*n)/n)**(-11))**8 assuming n is positive. n**264 Simplify (f**(5/6)/f)/(f*f**9*f*f*f) assuming f is positive. f**(-79/6) Simplify (f**(-2)/f)/f*f**(-2/3)*f**4*(f**(-3)/f)/f assuming f is positive. f**(-17/3) Simplify (n**(-2)*n*n*n*n/(n**(-1/2)/n)*n*n)/((n**(-2/15)*n)/n**(-2)) assuming n is positive. n**(79/30) Simplify w**2*w/((w*w**(-1/12))/w)*(w**(1/4)*w)**(4/39) assuming w is positive. w**(167/52) Simplify ((x**(-2)/x*x)**(9/4))**(2/23) assuming x is positive. x**(-9/23) Simplify (c**(3/2)*c)**17 assuming c is positive. c**(85/2) Simplify n*n**27*(n/(n**(-10)/n*n))/n assuming n is positive. n**38 Simplify (d**(-1/8)*d)**(1/78) assuming d is positive. d**(7/624) Simplify (q**(2/3)/q*(q**(2/9)*q)/q)/((q**(-2/7)*q)/(((q/q**(-8))/q)/q)) assuming q is positive. q**(389/63) Simplify (x**0)**(1/3)*(x*((x**(1/4)/x)/x)/x)**(10/13) assuming x is positive. x**(-35/26) Simplify ((u*u*u**(-1/14)*u*u)/(u*u**(-9)))**34 assuming u is positive. u**(2839/7) Simplify (w**(-3/5)/w)/(w*w**(-2/7))*(w/w**(2/11))/w**2 assuming w is positive. w**(-1346/385) Simplify i**(2/5)*i**(-2/15)*i*i*((i*i*i**(2/5))/i)**19 assuming i is positive. i**(433/15) Simplify h/h**(-4/5)*h*h*(h*h**(-2)*h)/h*h*h*(
{ "pile_set_name": "DM Mathematics" }
10101 In base 4, what is 3 - 103? -100 In base 14, what is -2c37 + 3? -2c34 In base 2, what is -100101 - 10? -100111 In base 7, what is 31252 + 5? 31260 In base 11, what is -33 + 316? 293 In base 14, what is -2 - 4a? -4c In base 8, what is -1453 - -2? -1451 In base 10, what is -23 + -51? -74 In base 15, what is 18 + 10? 28 In base 9, what is -4 + 2386? 2382 In base 3, what is -1001 + 1100? 22 In base 7, what is -15 - -13? -2 In base 12, what is aa8 - 3? aa5 In base 7, what is 44 - 26? 15 In base 7, what is 25 + 2562? 2620 In base 12, what is -2 + 2a? 28 In base 10, what is 7 + 562? 569 In base 5, what is 0 + 10102? 10102 In base 13, what is -5 - -7? 2 In base 5, what is 10244 - -2? 10301 In base 15, what is -2 - -6a? 68 In base 8, what is 367 + -7? 360 In base 3, what is 1020 + -11? 1002 In base 16, what is -8 - -33? 2b In base 16, what is -3 - -28? 25 In base 3, what is -1022 + 1? -1021 In base 13, what is 5 - -35b? 363 In base 3, what is -101212 - 11? -102000 In base 14, what is -9 + 31? 26 In base 15, what is -3 - -18? 15 In base 14, what is -530a - 1? -530b In base 7, what is 5510 - 1? 5506 In base 3, what is 11 - -20022? 20110 In base 2, what is 10010011110 - -10? 10010100000 In base 6, what is 332 + 10? 342 In base 11, what is -9 + 38? 2a In base 11, what is 5 - -436? 440 In base 3, what is 1022 - -10? 1102 In base 12, what is 1370 - -5? 1375 In base 9, what is 8 + 101? 110 In base 9, what is -361 - -2? -358 In base 12, what is -72 + 4? -6a In base 12, what is 3 - -4668? 466b In base 10, what is 8 - 370? -362 In base 4, what is 3 + -30? -21 In base 13, what is 32 + 0? 32 In base 11, what is a2 + 0? a2 In base 2, what is 0 + 10111101? 10111101 In base 2, what is 10 + -1000110010110? -1000110010100 In base 10, what is 128 + 57? 185 In base 10, what is 3 - -9? 12 In base 7, what is -605 - 6? -614 In base 3, what is 11 + -2010? -1222 In base 5, what is -4 + 1420? 1411 In base 2, what is -100 - 1111? -10011 In base 15, what is -1 - caa? -cab In base 11, what is 3 - -893? 896 In base 8, what is -2 - 25? -27 In base 4, what is 3 + -2113? -2110 In base 2, what is -100 - 10100? -11000 In base 14, what is d + -1d? -10 In base 15, what is -3bc - 3? -3c0 In base 5, what is -10 - 10340? -10400 In base 9, what is 30 + -1? 28 In base 16, what is b - -21f? 22a In base 2, what is -10000100100 - 100? -10000101000 In base 7, what is -3 + -4115? -4121 In base 4, what is -1021 + 0? -1021 In base 13, what is -12 + -13? -25 In base 8, what is 266 + 3? 271 In base 12, what is 1 - 3817? -3816 In base 16, what is -17 - fa? -111 In base 11, what is 3 + -292? -28a In base 10, what is -13 + 22? 9 In base 11, what is 145 + -13? 132 In base 15, what is -8 - -a? 2 In base 10, what is 0 + -910? -910 In base 15, what is 0 - 99? -99 In base 11, what is -1 + 590? 58a In base 14, what is 5 + -29? -24 In base 7, what is -50 - -25? -22 In base 16, what is -5 + 6f? 6a In base 11, what is 0 - -1001? 1001 In base 10, what is 2 + 400? 402 In base 8, what is -3 - 12230? -12233 In base 3, what is -10110 - -12? -10021 In base 6, what is 245432 - -5? 245441 In base 9, what is 6871 + -5? 6865 In base 14, what is 4 + -22? -1c In base 4, what is -202000 + -11? -202011 In base 3, what is 2 + -122221? -122212 In base 13, what is -8 + 40? 35 In base 4, what is 1 - -200200? 200201 In base 7, what is 156 - 0? 156 In base 3, what is -21 + 2221001? 2220210 In base 8, what is -32 + 0? -32 In base 6, what is -524 - 2? -530 In base 3, what is 21120220 + 2? 21120222 In base 8, what is 164 + -1? 163 In base 10, what is -26431 + 2? -26429 In base 16, what is 19 - 3? 16 In base 16, what is 795 + 2? 797 In base 11, what is -30 - 3? -33 In base 2, what is 100101000 + -1000? 100100000 In base 9, what is -17 - 20? -37 In base 5, what is -1331 - 12? -1343 In base 10, what is -333 - -1? -332 In base 3, what is -100 - 111021? -111121 In base 8, what is 3 - -107? 112 In base 7, what is -563 + 5? -555 In base 2, what is 1100000 - -100110001? 110010001 In base 7, what is -1 + -345? -346 In base 2, what is -101010 - 10010? -111100 In base 12, what is -4 - 473? -477 In base 15, what is -9c + 36? -66 In base 12, what is -102 + 5? -b9 In base 12, what is -10 - 12? -22 In base 6, what is -52 + 13? -35 In base 6, what is 25 + 10124? 10153 In base 9, what is 258 - -16? 275 In base 2, what is 0 - 1101001101011? -1101001101011 In base 11, what is 6 + 881? 887 In base 9, what is 3 - 114? -111 In base 6, what is -334 - -30? -304 In base 14, what is 44 + -6? 3c In base 9, what is 0 + -34? -34 In base 5, what is 2422 + 4? 2431 In base 3, what is -11 - 222? -1010 In base 2, what is -100 + 0? -100 In base 12, what is 17 - -48? 63 In base 14, what is 95 - -6? 9b In base 10, what is 59 - -7? 66 In base 2, what is 1 + 110110? 110111 In base 10, what is 2 + -62? -60 In base 3, what is 11 - -210? 221 In base 9, what is 1408 + 3? 1412 In base 7, what is -4210 - 4? -4214 In base 8, what is -21321 + -4? -21325 In base 11, what is 1220 + 8? 1228 In base 15, what is 29 - 2? 27 In base 15, what is a - a? 0 In base 6, what is 4 - -241? 245 In base 10, what is -6312 + -1? -6313 In base 14, what is ac0 - 3? abb In base 5, what is -222112 - 0? -222112 In base 2, what is -110 - 100001? -100111 In base 9, what is -1 + 7788? 7787 In base 16, what is -a1 - 8? -a9 In base 3, what is 2 - 2001012? -2001010 In base 2, what is 111011010 + -1? 111011001 In base 14, what is 3bb7 - -4? 3bbb In base 16, what is -1 + 60? 5f In base 3, what is -112 - -202011? 201122 In base 12, what is 6274 + -5? 626b In base 5, what is 3301 - -3? 3304 In base 3, what is 12 + 21001? 21020 In base 13, what is 333 + -c? 324 In base 15, what is 1 + 9? a In base 2, what is -101 + -11001110011? -11001111000 In base 15, what is 1c2 + 7? 1c9 In base 13, what is -20 - -91? 71 In base 6, what is -1 + -21044? -21045 In base 12, what is -34 - 4? -38 In base 6, what is 11 - 334? -323 In base 2, what is -101111 + -100? -110011 In base 10, what is -54 - -5? -49 In base 4, what is 13 - 2230? -2211 In base 9, what is -5 + 186? 181 In base 3, what is 22212 + 120? 100102 In base 14, what is -248 + 2? -246 In base 5, what is -1 - -140? 134 In base 6, what is -11 + 3400? 3345 In base 12, what is -1a8 + -21? -209 In base 16, what is -6 - -69? 63 In base 3, what is -20 - 1010? -1100 In base 11, what is -5 + -24a? -254 In base 2, what is 11 + 1000001111111? 1000010000010 In base 7, what is -2 - 25263? -25265 In base 7, what is 2101 - -2? 2103 In base 11, what is 39 - 3? 36 In base 7, what is -1 - 3514? -3515 In base 11, what is 3275 - -2? 3277 In base 15, what is 18 + 12? 2a In base 16, what is -3 + -432? -435 In base 3, what is -10 + -11200? -11210 In base 3, what is 2112 - 10? 2102 In base 9, what is -2374 + -5? -2380 In base 16, what is 3 + 26? 29 In base 2, what is 1100 + 11010? 100110 In base 15, what is 3 - -436? 439 In base 5, what is -10 - -411? 401 In base 10, what is -3 - 298? -301 In base 10, what is -25 - -113? 88 In base 3, what is -101020200 + -1? -101020201 In base 4, what is 11 - 110123? -110112 In base 10, what is -5 + 827? 822 In base 6, what is 14023 + -1? 14022 In base 14, what is 5427 - 5? 5422 In base 14, what is -1 - 1a2? -1a3 In base 16, what is 5 - 3cf? -3ca In base 4, what is 311030 + 11? 311101 In base 11, what is 2 + -69? -67 In base 3, what is -1212220 - -1? -1212212 In base 5, what is -2 - -21? 14 In base 12, what is 2 + 82? 84 In base 3, what is 1010 - 10? 1000 In base 12, what is a3 + -5? 9a In base 14, what is -2a - -49? 1d In base 16, what is f - 20c? -1fd In base 13, what is -6ba - -4? -6b6 In base 9, what is -741 + 0? -741 In base 2, what is 1010010 - -1011? 1011101 In base 9, what is 1 + -1601? -1600 In base 4, what is 1 - 123? -122 In base 9, what is 4 + -552? -547 In base 4, what is 1021 - -1? 1022 In base 16, what is c41 + -3? c3e In base 4, what is 10 - -230? 300 In base 13, what is 5 - 31? -29 In base 6, what is 200 - -101? 301 In base 3, what is 22001 + -12? 21212 In base 3, what is -1 + -201? -202 In base 3, what is -12 + 211? 122 In base 12, what is 4 + 3026? 302a In base 11, what is 336 - -5? 340 In base 3, what is -100 - 1210101? -1210201 In base 11, what is 6 + 28? 33 In base 7, what is -460 - -16? -441 In base 12, what is -890 - -5? -887 In
{ "pile_set_name": "DM Mathematics" }
: 2, z: 1}. Give prob of sequence sn. 1/56 What is prob of sequence rf when two letters picked without replacement from {f: 2, z: 1, g: 1, r: 1}? 1/10 What is prob of sequence ww when two letters picked without replacement from {w: 6, t: 4, p: 5}? 1/7 Four letters picked without replacement from {n: 1, s: 1, e: 1, q: 1, f: 2, c: 1}. What is prob of sequence nsef? 1/420 Calculate prob of sequence wwp when three letters picked without replacement from ffffwffpffwfffpfw. 1/340 Calculate prob of sequence eeee when four letters picked without replacement from {a: 1, q: 1, e: 14}. 11/20 Calculate prob of sequence ui when two letters picked without replacement from ppippuipu. 1/18 What is prob of sequence vh when two letters picked without replacement from yyvhtivw? 1/28 Three letters picked without replacement from {j: 8, d: 3, z: 2, e: 6}. What is prob of sequence ejd? 8/323 Three letters picked without replacement from {s: 1, e: 2, q: 3, j: 3, v: 1, w: 3}. Give prob of sequence vsq. 1/572 Calculate prob of sequence da when two letters picked without replacement from {d: 7, a: 6}. 7/26 What is prob of sequence jq when two letters picked without replacement from {q: 8, j: 5, n: 5, s: 1, a: 1}? 2/19 Two letters picked without replacement from pccppccycccwpayc. What is prob of sequence cy? 1/15 What is prob of sequence oood when four letters picked without replacement from {d: 7, j: 1, o: 3, v: 2, c: 3, m: 1}? 1/1360 What is prob of sequence wpww when four letters picked without replacement from {p: 1, w: 7}? 1/8 Two letters picked without replacement from ywwrwllsrryessy. What is prob of sequence lr? 1/35 Calculate prob of sequence igr when three letters picked without replacement from xkxkgigekxrk. 1/660 Calculate prob of sequence xxmx when four letters picked without replacement from mxxmxxx. 1/7 What is prob of sequence xk when two letters picked without replacement from {p: 6, x: 3, i: 3, k: 1, y: 1, z: 3}? 3/272 What is prob of sequence fcgr when four letters picked without replacement from cfrfrfrrcgcfcgcgrcr? 3/646 Four letters picked without replacement from zrrbrrirzbzjbzbrr. What is prob of sequence rrjr? 1/272 Three letters picked without replacement from xixmixxxhmxm. Give prob of sequence xxh. 1/44 What is prob of sequence wz when two letters picked without replacement from wzz? 1/3 Two letters picked without replacement from {c: 1, o: 19}. Give prob of sequence oc. 1/20 Calculate prob of sequence zn when two letters picked without replacement from frydfznn. 1/28 What is prob of sequence zv when two letters picked without replacement from {z: 3, d: 6, v: 8}? 3/34 Four letters picked without replacement from ppcrqeppeeeeeqq. Give prob of sequence qeqq. 1/910 Three letters picked without replacement from leeecec. What is prob of sequence cee? 4/35 What is prob of sequence lz when two letters picked without replacement from {l: 6, z: 1, b: 5, a: 1, u: 2}? 1/35 Four letters picked without replacement from uuyuqulz. What is prob of sequence uuql? 1/140 Calculate prob of sequence iui when three letters picked without replacement from {i: 7, e: 1, u: 1}. 1/12 What is prob of sequence too when three letters picked without replacement from {t: 3, o: 4}? 6/35 Four letters picked without replacement from fwwqqqggqfgwgqg. Give prob of sequence gqgg. 5/546 Three letters picked without replacement from {e: 4, v: 5, s: 10}. Give prob of sequence sss. 40/323 What is prob of sequence jnn when three letters picked without replacement from {n: 3, j: 1}? 1/4 Calculate prob of sequence uw when two letters picked without replacement from {e: 2, u: 1, w: 2}. 1/10 What is prob of sequence zzj when three letters picked without replacement from zzzjzzzjzj? 7/40 What is prob of sequence oaa when three letters picked without replacement from bjbooapjjbppapjaooo? 5/969 Calculate prob of sequence spsq when four letters picked without replacement from {s: 3, p: 4, q: 1}. 1/70 Two letters picked without replacement from {r: 3, i: 3}. What is prob of sequence ii? 1/5 Calculate prob of sequence rg when two letters picked without replacement from grrggrrrrgy. 12/55 Two letters picked without replacement from pkppkszpomsz. What is prob of sequence pp? 1/11 What is prob of sequence yea when three letters picked without replacement from {y: 7, e: 5, a: 7}? 245/5814 Calculate prob of sequence ue when two letters picked without replacement from {e: 1, h: 3, u: 1}. 1/20 Three letters picked without replacement from nmkik. What is prob of sequence kni? 1/30 Three letters picked without replacement from {z: 1, v: 1, d: 14}. Give prob of sequence zdd. 13/240 Two letters picked without replacement from {m: 1, c: 4, u: 2, e: 2}. What is prob of sequence uc? 1/9 Calculate prob of sequence kkd when three letters picked without replacement from {d: 2, k: 6}. 5/28 Three letters picked without replacement from ssvsb. Give prob of sequence svs. 1/10 Four letters picked without replacement from {h: 4, z: 6}. Give prob of sequence zzhz. 2/21 Two letters picked without replacement from {c: 4, t: 6, f: 2, u: 1, b: 1, a: 1}. What is prob of sequence fa? 1/105 What is prob of sequence ss when two letters picked without replacement from {s: 9}? 1 Four letters picked without replacement from {u: 7, q: 6}. What is prob of sequence uuqu? 21/286 Two letters picked without replacement from {h: 2, d: 4, c: 2, t: 3, n: 3, a: 1}. Give prob of sequence nh. 1/35 What is prob of sequence nn when two letters picked without replacement from {r: 6, n: 10, x: 4}? 9/38 Calculate prob of sequence uru when three letters picked without replacement from {u: 7, r: 3}. 7/40 What is prob of sequence fuww when four letters picked without replacement from uwuuwwfjeuue? 1/396 Calculate prob of sequence qm when two letters picked without replacement from kskqkqqsqkqqmqqn. 1/30 Four letters picked without replacement from {v: 3, u: 1, h: 3, c: 6, a: 1}. Give prob of sequence vvcv. 3/2002 Four letters picked without replacement from {w: 2, c: 8}. Give prob of sequence cccw. 2/15 Two letters picked without replacement from {w: 1, i: 4, j: 3, e: 6, l: 1}. What is prob of sequence lw? 1/210 What is prob of sequence cc when two letters picked without replacement from {l: 3, c: 7}? 7/15 Three letters picked without replacement from {p: 3, t: 2}. Give prob of sequence ttp. 1/10 What is prob of sequence yqlj when four letters picked without replacement from qqdjydle? 1/840 Calculate prob of sequence my when two letters picked without replacement from aamyyyy. 2/21 Three letters picked without replacement from {d: 7, j: 3, h: 5, o: 1}. What is prob of sequence hjj? 1/112 Calculate prob of sequence bab when three letters picked without replacement from aaabkkkab. 1/63 Four letters picked without replacement from apqqqxqqpccccacpc. Give prob of sequence pcpa. 3/2380 What is prob of sequence onon when four letters picked without replacement from {n: 5, o: 8}? 28/429 Four letters picked without replacement from {v: 2, t: 2, e: 6, j: 8}. Give prob of sequence vjet. 2/765 Two letters picked without replacement from {s: 5, y: 8, f: 3}. Give prob of sequence ss. 1/12 What is prob of sequence mmm when three letters picked without replacement from {m: 5}? 1 Calculate prob of sequence evt when three letters picked without replacement from tevtttttttttt. 1/156 Four letters picked without replacement from mmlmllmmlmmmmllllml. Give prob of sequence mmlm. 45/646 Two letters picked without replacement from klsskckckhhshlhhhhc. What is prob of sequence ss? 1/57 Two letters picked without replacement from tszzc. What is prob of sequence ct? 1/20 What is prob of sequence ftk when three letters picked without replacement from {t: 1, v: 1, f: 1, k: 1, w: 2, s: 1}? 1/210 Two letters picked without replacement from yyybvvvvbv. What is prob of sequence by? 1/15 Two letters picked without replacement from eaaea. What is prob of sequence ae? 3/10 Four letters picked without replacement from knkknkwkwkwnk. What is prob of sequence wwwn? 3/2860 What is prob of sequence sssp when four letters picked without replacement from spssvpsssvss? 28/495 Three letters picked without replacement from {l: 5, n: 5, t: 4}. Give prob of sequence lll. 5/182 Two letters p
{ "pile_set_name": "DM Mathematics" }
t o be (1 + -1)/(-2) + 3. Suppose -5*w = -2*h - 17, -4*w - h = -o*h - 14. Is 3 a factor of w? True Let i(t) = 5*t + 2. Let g be i(3). Suppose -2*r + 5*r = -27. Let f = r + g. Does 8 divide f? True Let w = 20 + -8. Is (-7)/(-42) - (-166)/w a multiple of 6? False Let n(w) = -13*w**3 + 2*w**2 + w + 4. Does 12 divide n(-2)? False Let i(d) = d**2 - 7*d + 12. Is i(9) a multiple of 15? True Suppose -5*d + q + 81 = 3*q, -3*q = 2*d - 39. Suppose -43 = -4*u + 9. Let z = u + d. Does 14 divide z? True Suppose 4*k = -3*k + 98. Is k a multiple of 9? False Let r(o) = -33*o - 5. Let m be r(-4). Suppose 5*a + 3*d = 197, -3*a + m = -d + 5*d. Let u = a + 9. Is u a multiple of 14? False Let o(u) = -2*u**3 - 4*u**2 + 2. Suppose 5*p - 4*k + 31 = 0, -p = p - k + 10. Let b be o(p). Does 10 divide -1 + 3 - (2 - b)? True Let q(a) = -14*a + 2. Is q(-5) a multiple of 24? True Let s = 16 - -11. Suppose s = 4*r + 11. Is 4 a factor of r? True Let b(z) = -z**2 + 8*z + 8. Let s(r) = -r**2 - 6*r + 3. Let q be s(-6). Suppose -q*h - h = -28. Is b(h) a multiple of 15? True Suppose 5*m - 4*g + 20 = -0*m, 15 = -m + 3*g. Suppose u = -m + 2. Suppose u*p = 5*p - 42. Is 14 a factor of p? True Suppose -h = -2*h - 5, z - 50 = -2*h. Let r be (-1)/((-3)/z) - 1. Does 11 divide r - (-1)/2*-2? False Suppose -5*k + 0*k - g = 17, 2*g = 6. Is 25 a factor of (-872)/(-14) + k/14? False Let z = 84 - 43. Is 22 a factor of z? False Let k(f) = -39*f + 9. Does 27 divide k(-1)? False Suppose 53*h - 47*h - 702 = 0. Is h a multiple of 22? False Let t = 1 + 6. Suppose -8 = -5*x + t. Is 3 a factor of x? True Suppose 0*t - 2*t = -4*d - 10, -3*t = -2*d - 11. Let i be (-39)/(-4) + d/(-4). Is 238/i + 1/5 a multiple of 10? False Let x = -3 + -38. Let l = 10 - x. Does 31 divide l? False Suppose -24 = 2*q - 3*y, 0 = q - 6*q - 3*y - 60. Let i = -7 - q. Does 5 divide i? True Is 20/(-15)*(-3)/2 a multiple of 2? True Let m = -5 - -7. Suppose -g = m*r + 1 + 2, 5*g - 9 = -2*r. Suppose 6*f - 39 = g*f. Does 13 divide f? True Suppose -5*z + p + 30 = -148, -4*p = 4*z - 128. Is z a multiple of 20? False Let x = -52 + 81. Is x a multiple of 15? False Suppose 6 + 6 = -3*o. Let v(s) be the second derivative of -s**5/20 - s**4/6 - s**3/2 - 5*s**2/2 + 10*s. Is v(o) a multiple of 24? False Suppose -w - 3*w = 80. Is 6 a factor of (w/(-3))/((-8)/(-12))? False Suppose -5*q + 100 + 275 = 0. Is q a multiple of 49? False Suppose 0 = -4*y + 14 - 2. Let b = -5 + y. Does 12 divide -2*1*19/b? False Suppose -3*y - 5*i - 9 - 1 = 0, 10 = -2*i. Suppose 204 = y*z - z. Is z a multiple of 18? False Let c(g) = 5*g**2 + 7*g - 7. Let n be c(-6). Suppose -t - 3*t + n = -i, 0 = 4*i + 12. Does 16 divide t? True Let a = -1 - 5. Let y(j) = j**3 + 8*j**2 + 6*j - 5. Is 15 a factor of y(a)? False Let t = 16 - 12. Suppose 2*o - t*o + 18 = 0. Is o a multiple of 9? True Let y(k) = -k**3 + 2*k**2 + 5*k + 1. Let m be y(4). Suppose -5*a - 236 + 77 = -2*p, 4*p - 132 = 4*a. Let h = m - a. Does 16 divide h? False Suppose -2*t - 4*a + 7*a + 132 = 0, -2*t = a - 116. Is 30 a factor of t? True Let k be (4/(-8))/(2/(-16)). Suppose 0 = d - 3*d - 4*l - k, 2*l + 10 = d. Suppose d*f = 45 + 15. Does 8 divide f? False Suppose -16 = -5*t + 4*t. Suppose 2*a + 2*a - t = 0. Suppose 3*f + 0*f = -3*y + 48, 2*y + a*f = 34. Is 7 a factor of y? False Let l(m) = 8*m**2 + 1 - 3*m - 1 + m**3 - 6 + 0*m**2. Let y be l(-4). Suppose -20 - y = -5*r. Does 8 divide r? False Let k = -17 - -18. Suppose -2*y + k = -11. Is y a multiple of 5? False Let h(a) be the third derivative of -7*a**4/24 + 7*a**3/6 + a**2. Is 21 a factor of h(-5)? True Suppose 4*q = -0*q - 20. Let h be (-20)/6*12/q. Suppose 4*g - h = 2*g. Does 4 divide g? True Let j(h) = -h**3 - h + 4. Let v be j(0). Suppose v*o + 27 - 119 = 0. Is o a multiple of 16? False Let c(k) = -3*k + 4. Let d(f) = f**3 - 2*f**2 + f. Let w be d(1). Is 4 a factor of c(w)? True Let k = -106 - -137. Is k a multiple of 31? True Let d(l) = -36*l + 39. Let u(h) = -7*h + 8. Let b(c) = 5*d(c) - 24*u(c). Is 13 a factor of b(-4)? False Let c be (-1 + 87/3)/2. Does 11 divide (8/(-3))/(c/(-231))? True Let f = -7 + 2. Let q(g) = 2*g + 0*g + 4 + g**2 + g. Does 4 divide q(f)? False Let y(b) = -7*b**3 - 15*b**2 + 28*b - 41. Let n(r) = -3*r**3 - 8*r**2 + 14*r - 20. Let d(p) = 9*n(p) - 4*y(p). Is d(11) a multiple of 17? True Let x = -1 - -3. Suppose 0 = -g + x*g. Suppose g = -5*a + o + 61 - 15, -o = -4. Is a a multiple of 6? False Let b(a) = a**2 - 5*a - 2. Does 4 divide b(7)? True Let q(b) = 23*b**2 + 3*b + 3. Let l be q(-2). Suppose 0 = 5*j - l - 41. Is 13 a factor of j? True Suppose 7*u - 3*u = 4*a + 124, u = 2*a + 33. Let j be -4*1 - (-5 - -1). Suppose j*r = r - u. Is r a multiple of 11? False Suppose -3*q + c = -41 - 34, -q - 5*c + 9 = 0. Is 12 a factor of q? True Let j = 2 - 0. Suppose 1 = j*m + 3*s, 2 = m + 2*m + 4*s. Suppose m = f - 14. Does 8 divide f? True Let a = 5 - 1. Suppose 2*j - 3*j = -a. Does 3 divide j? False Suppose -93 = -21*s + 18*s. Is 15 a factor of s? False Suppose 0*f = 4*f - 40. Let w(p) = -p**2 + 12*p + 12. Is 12 a factor of w(f)? False Suppose 8*d = 3*d + 140. Is d a multiple of 7? True Let n(b) = -3*b**3 - 3*b**2 + 3*b. Is n(-3) a multiple of 9? True Let p(w) be the third derivative of w**5/60 + w**4/3 + 3*w**3/2 + 2*w**2. Is 6 a factor of p(-9)? True Let b(h) = h**2 - 6*h + 12. Let c be b(5). Let q = c - -20. Is 9 a factor of q? True Let s = -30 - -42. Does 12 divide s? True Let b(s) = 3*s - 19. Does 8 divide b(17)? True Let o be 0 + (-1 - 23)/4. Let d = o + 10. Is d even? True Suppose 3*d - 4*t = 10, 5*t - t = 5*d - 14. Suppose -2*u + u + 5 = 3*l, 0 = -2*u + 4*l. Suppose f = -d*h + 24, 7*h + 4*f = u*h + 54. Does 12 divide h? False Suppose 0 = c + s + 18, -2*c + 5*s = c + 70. Let z = -14 - c. Does 3 divide z? True Suppose 3*k - 180 = -3*a, a + a - 2*k - 136 = 0. Is a a multiple of 9? False Let q(f) = -12*f**2 + 5*f - 4. Let r be q(3). Let v = -68 - r. Is v a multiple of 15? False Let z(r) = -148*r + 1. Is z(-1) a multiple of 29? False Let z = -30 - -58. Suppose 3*h - z = h. Does 14 divide h? True Let h(a) = a - 1. Let r be h(3). Suppose 0 = 4*y + 3*b + 55, r*y + 2*b - 1 + 29 = 0. Let g = y + 50. Does 16 divide g? False Suppose -197 = -3*q - 2*o, -4*q + 44 + 217 = o. Is q a multiple of 12? False Let v(n) = -n**2 + 14*n + 2. Does 5 divide v(13)? True Does 7 divide 54/4*140/30? True Suppose -31 = -3*d + 11. Let s(p) = -2*p**3 + 13*p**2 + 7*p + 2. Let x be s(7). Is 7 a factor of (d/(-4))/(x/(-4))? True Let p(s) = s**3 + 11*s**2 + 9*s - 8. Suppose -5*j - 19 = 31. Let i be p(j). Suppose 80 = 2*g + i*g. Is 10 a factor of g? True Let c be ((-6)/(-10))/((-4)/20). Let t(i) = i**3 + 4*i**2 - i - 1. Does 11 divide t(c)? True Suppose 0 = 5*j + 50 + 5. Let t = j + 7. Is (42/t)/(6/(-24)) a multiple of 14? True Suppose z - 3 = -m, 0*z = -m - 5*z - 5. Suppose 167 - 62 = -m*c. Is 8 a factor of c*1*6/(-9)? False Let k be 2 + 0 - 24/3. Let v be k/(-4 - (-2 - 0)). Let t(f) = 3*f - 3. Is t(v) a multiple of 3? True Suppose 3*o = 2*o + p + 29, -26 = -o - 2*p. Suppose 2*g = d + 877, -7*g + 5*d = -3*g - 1745. Is 16 a factor of (-2)/(-7) + g/o? True Let g be ((-36)/24)/((-6)/104). Let z(m) = -3*m**3 - m**2 - m. Let k be z(-1). Suppose 2*u + g = k*u. Does 20 divide u? False Let g(b) = -b**3 + 17*b**2 - 22*b + 16. Is 17 a factor of g(15)? True Let z(x) = -120*x**3 - x. Is 11 a factor of z(-1)? True Suppose 17*l = 11*l + 252. Does 7 divide l? True Suppose -v + 2*v = 2*w - 43, 5*v = -4*w + 79. Let i = w - 14. Does 4 divide i? False Suppose -7*a + 25 = -2*a. Is 3 a factor of a? False Is (-6)/(-57) - 4269/(-57) a multiple of 25? True Suppose -3*q + 241 = -j + 2*j, -8 = -2*j. Let v = -43 + q. Is 18 a factor of v? True Let b(m) = 6*m**2. Let j be b(1). Does 15 divide (-10)/(((-10)/j)/5)? True Suppose 0 = -2*s + 5*f + 20, -s + f + 13 = -3*f. Let x(v) = 5*v - 3*v + v + s*v**2. Is x(-3) a multiple of 18? True Is 22 a factor of 74 + 4/8*4? False Suppose -6*m + 262 - 10 = 0. Does 10 divide m? False Suppose -4*l + 8 = 3*v, -1 - 1 = -l - 2*v. Suppose -l*x = -3*x + 46. Suppose 5*i + 8 + 7 = 0, 2*i = 5*n - x. Does 4 divide n? True Let r(v) = -15*v - 8. Let s(k) = k - 2 - 2 - 8*k. Let x(t) = 6*r(t) - 13*s(t). Is x(7) a multiple of 4? False Let w(o) be the first derivative of -o**4/4
{ "pile_set_name": "DM Mathematics" }
est to 2 in 1, 20, -37.9, -3? 1 Which is the closest to -2/3? (a) -5 (b) -5/3 (c) -6/11 (d) 0.14 (e) 1/31 (f) -8 c Which is the nearest to 220? (a) 1/3 (b) 1 (c) -14 b Which is the nearest to -196? (a) 1/15 (b) -0.5 (c) 2.04 (d) -5 (e) 0.3 (f) 1/4 d Which is the nearest to 2/7? (a) -2/17 (b) 4 (c) -0.1 (d) -4 (e) 0.5 (f) 143191 e Which is the closest to -86? (a) -0.4 (b) 97 (c) 2/19 a What is the nearest to 3 in -1, 145354, 1/2, 0.3? 1/2 Which is the closest to -15? (a) 5 (b) 36 (c) 7/6 (d) -0.5 (e) -5 e What is the nearest to 0 in 0.36943, 1, 2/3, 1/6, 4/5? 1/6 What is the closest to 2/15 in -2/7, -1, -2, 10, -0.16111? -0.16111 Which is the nearest to -0.3? (a) -0.2 (b) -6/11 (c) 20/137 (d) -4 (e) 2/3 a Which is the closest to -2/131? (a) 5/3 (b) -0.4 (c) 0.047 c What is the nearest to 0.16 in -3, 2/5, 12, 18/5, -0.1? 2/5 What is the nearest to -1 in -3.9, 826, -4, 0.06? 0.06 Which is the closest to -1? (a) 19 (b) -0.9 (c) 371 (d) -0.5 b Which is the closest to -1/2? (a) -38/29 (b) 3/2 (c) -71 a What is the closest to -0.02 in -5, -0.6, 20/141? 20/141 What is the closest to -0.06 in -7, 3/4, 3, 28, -2, 2? 3/4 What is the closest to 0.1 in -21/11, -49, -2/7, -1.7, -2? -2/7 Which is the closest to -12.93? (a) 1/48 (b) -2/9 (c) -4 (d) 2/7 (e) -0.1 (f) -0.07 c What is the nearest to -1/2 in 6, -0.4, 0.5, -144397? -0.4 Which is the nearest to -1/4? (a) -2.4 (b) 5/3 (c) -1/6378678 c What is the nearest to -23 in -137, -0.4, -15.91? -15.91 What is the closest to 5 in -5, 1/5, 0.5, 2/1303, 9? 9 What is the closest to -2/3 in -0.1213, 4, 2/5, 301/4, 1/4? -0.1213 Which is the closest to 0.32? (a) 8 (b) -2/3 (c) 4 (d) 91/41 (e) 3 b Which is the closest to 0.18? (a) -0.2 (b) 7 (c) 177 (d) 3 (e) -4 a What is the nearest to -0.017 in -0.2, -3, -475, -7? -0.2 Which is the closest to 68? (a) 0 (b) 1399/7 (c) -10/3 a What is the nearest to 1 in 0.031, 118, -155, -6? 0.031 Which is the closest to -4? (a) -3 (b) 2 (c) -7 (d) 107 (e) -1/45 (f) 4/5 a What is the closest to 53 in 2, -0.16, 14/5, -0.2, -1, 1? 14/5 What is the closest to -2/5 in 3, -108/29, 0.1, -5, 0.3? 0.1 Which is the closest to -1? (a) 5 (b) -152171 (c) -32 a Which is the nearest to -151? (a) 3/5 (b) 126 (c) -0.74 c Which is the nearest to -8? (a) -8/83 (b) -2 (c) 2/9 (d) -2/5 b What is the closest to 0.1 in -6.1, -5, 3/4, -3, -0.12? -0.12 Which is the nearest to 23017? (a) 0 (b) -707 (c) 0.1 c What is the closest to -1 in -1/10, -9/16, -0.98, 73, -0.08? -0.98 What is the closest to 1 in 4.17, 4, -93, 0, 0.2? 0.2 Which is the closest to 29? (a) -2/7 (b) -4/5 (c) 9 (d) -2/13 (e) 1/21 (f) 3 c What is the closest to 0 in 155, -3/4, -29, 1041, -5/3? -3/4 Which is the nearest to 0.424? (a) 1/12 (b) 0.488 (c) 0.3 (d) 4 (e) 1/2 b What is the closest to 1 in 7, 3, -5/6, 0, 27.9? 0 What is the nearest to -1/7 in 57, 35, 5, -3/1136? -3/1136 What is the closest to 3 in -1/8, -1135/3, 5, -1, 36.7? 5 What is the closest to -0.024 in -3, -9/7, 2/11, 0.127, -2/7? 0.127 Which is the closest to 26/3? (a) 1/9 (b) 2 (c) 3 (d) 628 c What is the closest to -1 in -2/5, 0, -4, 41, 250? -2/5 Which is the closest to 3? (a) 3/7 (b) -61974 (c) 0 (d) -0.1 (e) 2 e Which is the closest to 0.2? (a) -320 (b) -0.5 (c) 0.0198 (d) -0.1 (e) -2/7 (f) -2/5 c What is the nearest to 0.05812975 in 0.5, -2/19, -2? -2/19 Which is the closest to 69888? (a) 0.14 (b) 7/3 (c) 3 (d) -0.1 (e) 0.5 c Which is the closest to -0.1? (a) -25 (b) -1/6 (c) -1/3 (d) -5 b What is the closest to -11/17 in 0.1, -9, 1, 2/29, -3/5? -3/5 What is the nearest to -2.1 in -5, 0.3, -0.23908? -0.23908 What is the nearest to -56 in -359, 4, 55? 4 Which is the closest to -2/7? (a) 2 (b) 0 (c) 2/1207 (d) -0.5 (e) -1.1 (f) 67 d Which is the nearest to 1/6? (a) -3 (b) 3/8 (c) 265 (d) -4 (e) 5 (f) 0.5 b What is the nearest to -3/5 in 10, 2/15, 173/9, -1? -1 Which is the closest to -2.3? (a) -5895 (b) 0.3 (c) 3/4 (d) -4 d Which is the nearest to 2? (a) 176054 (b) 3 (c) 2 (d) 0.06 c What is the nearest to -0.6 in -84/5, -9, 0.05? 0.05 What is the closest to -5/7 in -0.034, 1/4, 62, 4, -2? -0.034 What is the closest to 1 in -0.1, -263.868, 6? -0.1 Which is the nearest to -11706? (a) 1056 (b) -1/8 (c) 8 b Which is the nearest to -1/337? (a) 0.22727 (b) 0.3 (c) 5 a Which is the closest to -6? (a) 16/1215 (b) 0.02 (c) 2/11 a What is the closest to -17 in 0, 3/5, -1/3, -3856, -1/2? -1/2 What is the nearest to 132/43 in 1/13, -6, 0, 0.5? 0.5 Which is the closest to 1/25? (a) -12 (b) 2/37 (c) 5 (d) -157/4 b What is the closest to -17 in 1036, -21/5, 0? -21/5 Which is the closest to 153? (a) -5 (b) -12 (c) 2/3 (d) 2 d Which is the closest to -0.034? (a) -42 (b) 1/5 (c) -0.4 (d) 839 b What is the nearest to 125 in -0.5, -1.19, 0.2, 1/6, 0, -2/17? 0.2 Which is the closest to 15/7? (a) -10 (b) -16 (c) 0.5 (d) -2/3 c Which is the closest to 1/6? (a) -0.23 (b) 5 (c) -2 (d) 2 (e) -1413 (f) -4 a What is the closest to 0.3 in -121, 501/7, -2/3, 97/6? -2/3 Which is the nearest to 6? (a) -5/3 (b) 2/15 (c) 0 (d) -41 (e) 41 b Which is the nearest to 14/57? (a) 74 (b) 4 (c) 8/3 (d) -0.2 d What is the nearest to 0 in 0.5, 2/3, -615, 2/19, -4? 2/19 Which is the closest to -0.09? (a) 0.06 (b) 10601 (c) 0.2 (d) -7 (e) 0.5 (f) 1 a What is the nearest to -1/1211 in -4/3, -9, -8, 4/9, -4? 4/9 What is the nearest to -4/23 in -2, -17/5, 51/16? -2 What is the nearest to 1 in -0.5, 2.04, -1/4, -5, 0.0452? 0.0452 What is the nearest to -2915/2 in -5, 3/14, -1/12, -3? -5 Which is the closest to -1? (a) 10/19 (b) -4 (c) 5 (d) -59 (e) -8 (f) 0.4 f Which is the closest to 41.2? (a) 4 (b) -3.1 (c) 17 (d) -9 c What is the closest to -1/2 in -2, -493, -3, 204/11? -2 What is the nearest to -3 in -4, -58, 14960? -4 What is the nearest to 260 in -1.3, 2/11, 1, 355, -5? 355 Which is the closest to 0? (a) -28 (b) 117 (c) -5 (d) -73 c Which is the nearest to -1/11? (a) -0.3 (b) 3/7 (c) -2/19 (d) -162 c Which is the closest to -2/35? (a) -27 (b) -1204 (c) 0.4 c Which is the nearest to 1? (a) -3 (b) 2630 (c) -27 (d) 39 a What is the nearest to 0 in 18, -0.3, -7/38, -0.6, 1/7? 1/7 Which is the closest to 1/58? (a) -4 (b) 0.3 (c) -2420 b Which is the nearest to 1/5? (a) 0 (b) -16159 (c) 0.3 (d) -3/8 (e) -6 c Which is the closest to 172? (a) -3/80 (b) -41 (c) -3 (d) 2/3 d What is the closest to -2/9 in -3/11, -0.112, -0.034, -0.2, -2/13? -0.2 Which is the closest to 0.2? (a) -1/5 (b) 1.0134 (c) -2 (d) 8 a Which is the closest to -17.7? (a) -4/3 (b) -369 (c) -4 c Which is the closest to 2/23? (a) 3 (b) 2 (c) -78 (d) -6 b Which is the closest to 348? (a) 0.2 (b) -29 (c) 6/49 a Which is the nearest to -2/29? (a) 2399 (b) 816 (c) -1 (d) -2 (e) -4 c Which is the closest to 0.5? (a) 6 (b) 317/7 (c) -15 (d) 2 d Which is the closest to 84? (a) -41 (b) 0.3 (c) 2675 b What is the nearest to -125 in 3, -0.2, -0.9705? -0.9705 Which is the nearest to 0.05? (a) -3 (b) -0.5 (c) -2/67 (d) 0.5 (e) -2 c Which is the nearest to 0.006? (a) -0.5 (b) 232/9 (c) -0.2 (d) 0.1 d What is the closest to -1 in 4/3, -3/4, 0.055, -726? -3/4 What is the closest to -12 in -2, -3.6, -6.63, 0.4, -39? -6.63 Which is the closest to -1? (a) -1/37 (b) 64.411 (c) 4 a Which is the closest to -0.3? (a) 260.074 (b) -2 (c) -0.3 (d) -0.2 c What is the closest to 1/4 in 30/11, -33, 7/17, -3? 7/17 Which is the closest to 0.2? (a) -0.3 (b) 589/65 (c) 4 (d) 3 (e) -2 a Which is the closest to 0.2? (a) 0.02 (b) -0.307 (c) -0.7 (d) -3 a Which is the nearest to -0.1? (a) -0.5 (b) 85.07 (c) -3 (d) 1/37 d Which is the closest to -46? (a) 0.4 (b) 0.01 (c) -0.095 c Which is the nearest to 0? (a) 4 (b) 0.014 (c) 4/9205 c Which is the closest to 0.03? (a) -1.39 (b) 0 (c) -1 (d) 2/79 d What is the nearest to 85 in 0.5, 0.3, 0.0893? 0.5 What is the nearest to -18.4 in 84, 24, -2? -2 Which is the nearest to 0.17? (a) 3 (b) 230.3 (c) 14 (d) 4 a Which is the nearest to -2/7? (a) -14 (b) -3 (c) 3 (d) -4951 (e) -1/2 (f) 0 e What is the closest to -8 in -196, -0.1, 1/9, -1? -1 What is the c
{ "pile_set_name": "DM Mathematics" }
2)*2. Let g = -0.05 + -0.35. Which is the smallest value? (a) g (b) n (c) v a Let z be 20/(-8)*42/(-15). Suppose -z = 3*v + 2. Let l = 0.05 + 3.95. Which is the third smallest value? (a) v (b) -2/9 (c) l c Let h be (-1 + 2*4)/4. Let m = -2229 - -2225. What is the smallest value in -0.3, h, m, -0.2? m Let b(s) = s. Let k be b(-4). Suppose 0*o = -2*o - 10. What is the second smallest value in k, o, 4/3? k Let x = -422.9 - -423. What is the smallest value in 0, x, 1, 25/3? 0 Let u = -41 - -41. Suppose 0 = o + k - 5, -3*k = o - u*k - 7. Which is the biggest value? (a) 0.7 (b) 3/2 (c) o c Let f = 6.4 - 6. Let v = -76 + 44. Let x = -32 - v. What is the second smallest value in -5, f, x? x Let k = -518 - -530. What is the third biggest value in k, -2/3, 3, -0.2? -0.2 Let o be ((-1240)/(-88) - 14) + 56/(-11). What is the second biggest value in 9, o, -2/5, -0.3? -0.3 Suppose 2*j = -3*r + 7*j + 737, -r + 259 = -5*j. Let b = r + -64. Let s = 1923/11 - b. What is the third biggest value in s, -5, 0.2? -5 Let h = 120.4 - 121. Let w be 42/18 + 0 - (1 + 2). Which is the second smallest value? (a) -0.3 (b) -2/15 (c) h (d) w c Let k = 0.3 - 0.4. Let f = -0.2 - k. Suppose 26*h = -4*h - 30. Which is the third smallest value? (a) h (b) f (c) -3/2 b Let l = -5970 - -5969. Let s = 0.2 - -2.8. Which is the smallest value? (a) 0.5 (b) l (c) 2.5 (d) s b Let n = -2764.3 - -2764. Let a = 5 - 5.4. What is the second biggest value in n, a, -4, 0.2? n Let r = -0.05 + -0.25. Let h = 13.8639 - -0.1361. What is the third biggest value in h, r, 0? r Suppose 42 = 2*o - 8*o. What is the biggest value in o, -2, 1/3? 1/3 Let l = 67 - 53. Which is the third smallest value? (a) l (b) 4 (c) 0.5 (d) 3/5 b Let s be (3 + (-3)/9)/(1 - -1). What is the second biggest value in 5, 3/5, s? s Let r = -102 - -115. Which is the second biggest value? (a) -3 (b) r (c) 0.2 c Suppose 3 - 8 = 5*n, 5 = 3*u + 4*n. Let k be ((-1)/u)/(3/((-36)/(-16))). Which is the second biggest value? (a) -0.05 (b) k (c) 3 a Let j = 0.2 - 0.1. Let t = j - 0.6. Let v = 86 - 86.1. What is the second smallest value in t, v, -2/3? t Let v = 98 + -90. Suppose v = -2*x - 2*p, -2*x - 1 = -3*p - 2*p. What is the second biggest value in x, 6, -1/6? -1/6 Let n = 0.3 + -0.1. Let u = n - 0.24. Let i = -1002 - -1002.3. Which is the second biggest value? (a) -0.2 (b) u (c) i b Let h be (8/6)/((-75)/360*8). Which is the smallest value? (a) 0.4 (b) h (c) -1/5 b Suppose 0 = -2*b - 3*b + 20. Suppose -5*j = 20, 18 = b*p + 5*j - 26. Let h = p - 17. What is the third biggest value in 5, h, 0? h Suppose -5*r = 37 - 17. Which is the biggest value? (a) -3 (b) r (c) 1 c Let y = 166 - 2824/17. Suppose 42 - 72 = -10*i - 40. Which is the smallest value? (a) y (b) i (c) -2 (d) -0.2 c Let f be (-24)/14*6/(-12). What is the biggest value in f, 2/43, 3? 3 Suppose 3*z - 6 = 0, 3*p - 2*z - 229 = -z. Let v = p - 384/5. Which is the smallest value? (a) -4 (b) v (c) 2/11 a Let r = -10.69 - -7. Let u = 0.31 - r. Which is the second biggest value? (a) u (b) -5/4 (c) -1/3 c Let o = 0.047 + 0.353. Which is the biggest value? (a) o (b) 3 (c) 4 c Let p = -971 - -971.2. Let h = -1095/7 - -157. What is the smallest value in h, -1/3, p? -1/3 Let z = 0.13 + 9.87. Let l = z - 11.4. Suppose -4*m - 12 = 5*x, -2 + 0 = 5*m + 3*x. What is the third smallest value in l, m, 0? m Let t = -827 + 828. Let q be (-2)/7 + 20/84. What is the biggest value in q, t, -3/4? t Let p = -5.016 + -0.084. Let i = p - -5. Let j = -16 - -16.1. Which is the third biggest value? (a) i (b) 3/2 (c) j a Suppose -9 = 4*f - 3*r, 2*f + 3*r - 15 = -2*r. What is the third smallest value in -10/13, -0.01, f? f Let l be 4*-1 + (-3 - -4). Let m be ((-2)/(-10))/((-64)/40). Let v be 4/1*(-2)/(-12). Which is the third smallest value? (a) v (b) l (c) m a Let v = 1/42 + 1/7. Let h = -38 + 40. Which is the third biggest value? (a) v (b) 1 (c) h a Let l = 6 - 0. Let g be (-4)/18*l/(-4). Let i = -202 - -201.9. What is the smallest value in i, -4, g? -4 Let v be (-98)/21*(-6)/4. Let g = -6 - -11. What is the biggest value in g, 2/19, v? v Let v = 1 + -1. Let h = -338 + 337.9. What is the biggest value in -3, v, h? v Suppose n = 3*j - 22, 0 = 2*j - n + 2*n - 8. Let i = -15 - -35. Let v be i/j*12/10. What is the biggest value in -5, -0.5, v? v Let a = 34 - 34. Let t be 1 + 2/(-36)*22. What is the biggest value in t, 1, a? 1 Let z(r) = -2*r + 3. Let o be z(2). Let i = -66 - -72. What is the second smallest value in 2/7, o, i? 2/7 Let w = 12.15 + -12. Let d = w + 2.85. Which is the third smallest value? (a) -0.3 (b) -2/17 (c) d c Let d = -0.383 + 1.383. What is the biggest value in -6, d, 5? 5 Let y be 9 - ((-5481)/70)/(-9). What is the second biggest value in y, 0.09, 3, 2/5? 2/5 Let o = 0.1661 + 1.8339. What is the second biggest value in 4, 0.5, -1.8, o? o Let q = -1 - -0.6. Let l = -11.46 + 5.69. Let f = -0.77 - l. Which is the biggest value? (a) q (b) f (c) -4 b Let n = 0.34 - 3.94. Let b = 0.4 - n. What is the third smallest value in 1/3, -4, 7/2, b? 7/2 Let z = 56.956 + -57. What is the second biggest value in z, 2/3, 1? 2/3 Let s = 85 - 509/6. Let x = 21 + -13. Suppose 4*v = -0*v + x. Which is the third biggest value? (a) s (b) -0.5 (c) v b Let z = -3.9 + 8.9. Let f = -10 + 7. Which is the fourth smallest value? (a) f (b) 0 (c) z (d) -10 c Let m = -48 + 381/8. Let t be (-24)/588*4/(-4). What is the second smallest value in m, 1/3, t? t Let f = -27 + 27. Let x be (1 - 0)*11/(-33). What is the second biggest value in 1, f, x? f Let p = 4.4 - -0.6. Let v = -59/20 + 16/5. Let w = 0.3 - 0.1. What is the second smallest value in w, p, v? v Let f = -85.7 + 56.7. Which is the smallest value? (a) -2 (b) 0.3 (c) f (d) 1 c Let u = 3558 - 32024/9. Let x = 1 + -1. Which is the second smallest value? (a) -0.4 (b) u (c) x (d) -0.1 b Let l(y) = y - 1. Let o(m) = -8*m + 7. Let n(f) = -4*l(f) - o(f). Let s be n(2). Suppose -36 + 16 = -s*w. Which is the smallest value? (a) w (b) -4/5 (c) 3 b Let c = 215.97 - 216. What is the second biggest value in 5, 0.1, c? 0.1 Let v = -2399/8 - -300. Which is the second biggest value? (a) 9 (b) 5 (c) v b Let r = -0.342 + 0.742. Let y = 3 - 3.1. What is the second biggest value in y, r, 3? r Let s = 3.9 - -0.1. Let i be 6 + (1570/(-275) - (-4)/(-20)). Which is the third biggest value? (a) 5 (b) 0.3 (c) s (d) i b Suppose 2*m - 1 = 5*y, -16*y + 4 = 3*m - 21*y. What is the third biggest value in -0.4, 2/3, 92, m? 2/3 Let o = -584 - -588. Let q = 24 + -9. Suppose 25 + q = -4*p. Which is the smallest value? (a) p (b) -0.5 (c) o a Let i = -172 + 525. Let h = i - 4587/13. Let r = -7 + 2. Which is the smallest value? (a) h (b) -2/7 (c) r c Let l = -34.878 - 0.122. What is the second biggest value in l, 5, -2/9? -2/9 Let r(g) = -30*g - 35. Let i be r(-1). Which is the smallest value? (a) 244 (b) -1 (c) i c Let u = 0.34 - 0.14. Let g = -6 - 23. Let i = 34 + g. Which is the smallest value? (a) 1 (b) i (c) u c Let y be 437/(-114) + 2/(-12). Which is the third biggest value? (a) 0.1 (b) y (c) 1 (d) -28 b Suppose 3*l - u = -14, l + 0*l = -u - 2. Let r = -5431 + 16292/3. Let m = 1 + 2. Which is the smallest value? (a) r (b) m (c) l c Let j = 574.5 + -574. Let p = 4.4 - 4. Let n = p + -0.7. Which is the second biggest value? (a) j (b) -2/11 (c) n b Let x = 21 - 5. Let r = x - 15. Which is the second biggest value? (a) -9 (b) -0.1 (c) r b Suppose -3*g - x + 44 = 0, -24 = 4*g + 4*x - 80. Suppose -5*o = -h - 10 - 5, -3*h + g = 0. Which is the biggest value? (a) 5 (b) -2/3 (c) o a Let x = 23/21 + -10/7. Let k = -14.33 + 14.43. Which is the third biggest value? (a) x (b) -1 (c) -4 (d) k b Let m(h) = -h**3 - 11*h**2 + 2. Let o be m(-11). Suppose 36 = -o*y + 12. Let f be -1*(y/3 - 1). Which is the second smallest value? (a) 4 (b) f (c) 1/5 a Let h = -0.2671 - -0.3271. Which is the third smallest value? (a) h (b) 3/2 (c) 0.2 (d) -4.1 c Let z be 1/(6 - (12 + -5)). What is the fourth smallest value in 1/2, 0.2, 1, z? 1 Let b(u) = -u**2 - 14*u + 32. Let r be b(-16). Suppose -3*w + 3 = -8*w + t, 0 = -w + t + 1. What is the third biggest value in 2, w, r? w Let i = -0.7 + -2.3. Let x
{ "pile_set_name": "DM Mathematics" }
46882 -937.64 What is 0.077624 times -2.629? -0.204073496 Work out 2.9 * -2887.31. -8373.199 Multiply -345868.94 and 28. -9684330.32 Multiply -0.439 and 8793. -3860.127 What is -3504.7 times 58? -203272.6 What is -9 times 16804819? -151243371 0.4 times -5010.17 -2004.068 -10864052.8*-0.5 5432026.4 -0.36479918 times 3 -1.09439754 Calculate 117*-0.137688. -16.109496 What is the product of 1.6 and 47841? 76545.6 9958 times 0.24 2389.92 Calculate -77*-0.1274. 9.8098 68.8 * -39138 -2692694.4 What is the product of 3997.3 and -73? -291802.9 Work out 554 * -8959. -4963286 -213.0329*-5 1065.1645 Product of -311.25212 and 52. -16185.11024 -10 * 20.237836 -202.37836 -188490*0.067 -12628.83 Calculate -0.110632*-4.41. 0.48788712 Multiply -53 and 1452794. -76998082 -253.9*-14.92 3788.188 What is the product of -287 and 27135? -7787745 Work out 13419235 * -5.2. -69780022 1 * 724.7 724.7 Work out -1.1707 * -1911. 2237.2077 Work out 115255.6 * -5. -576278 What is -18 times 2.269476? -40.850568 2574*-104.33 -268545.42 What is the product of 1.5 and 463819.3? 695728.95 What is -5604517 times -0.24? 1345084.08 What is the product of 1065547 and 0.22? 234420.34 -1063783 times 0.03 -31913.49 Multiply -10440214 and 0.2. -2088042.8 45045.6653*0.2 9009.13306 What is 34536.023 times -5? -172680.115 -0.18 times -665117 119721.06 What is the product of -0.43928261 and 4? -1.75713044 Multiply -0.2 and 170982.6. -34196.52 Multiply 0.0401652 and -0.585. -0.023496642 What is the product of 0 and -49994349? 0 Work out 6.377032 * 0.05. 0.3188516 Product of -15536777 and -2. 31073554 Multiply 45214 and -95.9. -4336022.6 4732.2 * 197 932243.4 What is the product of -2 and 9439447? -18878894 Calculate 90.78*-372. -33770.16 2679.02 times 2771 7423564.42 What is 945991 times 27? 25541757 What is 110387632 times -11? -1214263952 What is the product of -20.4 and -43065? 878526 What is 0.1858462 times -5? -0.929231 -3 * -4632353 13897059 Calculate -38615*-4.5. 173767.5 4139.3 * 409.4 1694629.42 Multiply -43880 and -1394. 61168720 -310565989 times 1 -310565989 -0.82 times 2447740 -2007146.8 1.1 times 681670 749837 2386499 times 14 33410986 Work out -0.5945 * -156. 92.742 Multiply 17311 and -0.139. -2406.229 Multiply 11313.6 and 3. 33940.8 2 times 9995123 19990246 Work out -0.3039192 * 1.1. -0.33431112 -74934885 * 2 -149869770 What is 0.12989 times 10.7? 1.389823 What is 0.169 times 77671? 13126.399 Calculate -0.622*5293. -3292.246 2950*-10585 -31225750 0.0343376 * 11 0.3777136 -268.3703 * 2 -536.7406 Product of 654 and 35229. 23039766 What is 21 times 861919? 18100299 346356 * 2094 725269464 What is -11721 times -8819? 103367499 Work out -119228 * -0.446. 53175.688 Multiply 9280.28 and 115. 1067232.2 Multiply -27.321 and 8. -218.568 What is 4560 times 124.1? 565896 0.001*-54893.28 -54.89328 -7294*23.55 -171773.7 What is -0.11067 times -0.07478? 0.0082759026 -762855.3 times 2.4 -1830852.72 Product of 162.695 and -17.4. -2830.893 46563 times 0.296 13782.648 What is the product of -5 and 59019613? -295098065 Multiply 149 and -0.2424958. -36.1318742 What is 78449784 times 4? 313799136 Multiply 75.31168 and -0.3. -22.593504 What is the product of 35 and 2905500? 101692500 -15.5 * 13.3891 -207.53105 What is the product of 0.45 and 7.73011? 3.4785495 0*45868949 0 -10300*0.01831 -188.593 What is -1098 times -3790.16? 4161595.68 Product of 4 and 10.44344. 41.77376 Product of -65.721194 and -14. 920.096716 0.2249*0.08009 0.018012241 What is -2600566 times -4? 10402264 45 * -771063 -34697835 What is the product of -65 and 1984834? -129014210 Calculate -4*-16.531207. 66.124828 What is the product of -81 and 0.530866? -43.000146 -1981*8.9161 -17662.7941 Product of -0.3183 and 820. -261.006 Multiply -0.3722625 and 1. -0.3722625 What is the product of -43.22 and -12.69? 548.4618 Multiply -1132 and -0.14973. 169.49436 -1 times 273739.34 -273739.34 Product of -579 and -428.83. 248292.57 Product of -5 and -137412. 687060 What is -495 times -68134.8? 33726726 Multiply 7.9 and 1305232. 10311332.8 What is the product of 3 and -130789588? -392368764 What is the product of -0.2 and -452712.14? 90542.428 -2132.2086 times -2 4264.4172 Product of 109 and 211005. 22999545 Product of -2 and -59151.2. 118302.4 What is the product of 0.31194 and 305? 95.1417 -0.03458 times -747 25.83126 What is the product of 1 and 12217583? 12217583 0.002 * 453119 906.238 Calculate 0.064*775069. 49604.416 Multiply -70.093102 and 0.07. -4.90651714 What is the product of 19079.2 and 0.632? 12058.0544 3 * -0.2534668 -0.7604004 -216510395*3 -649531185 -1086836 * -0.15 163025.4 Work out -0.4 * 904716.2. -361886.48 Work out -0.02439 * -10692. 260.77788 What is the product of -1.658783 and -0.01? 0.01658783 -208043 times 629 -130859047 Multiply 828545 and 28. 23199260 18900609 * -4 -75602436 Product of 1.4 and -0.37722. -0.528108 -1328989 * 3.4 -4518562.6 Calculate 0.3*8294802. 2488440.6 Multiply 5270 and -375.05. -1976513.5 Multiply -90 and -18150. 1633500 Multiply 9056 and -5.783. -52370.848 Calculate 0.3525*-35.3. -12.44325 Multiply 3447016 and 4. 13788064 -0.0345*1.70167 -0.058707615 Work out -817.64 * -0.08. 65.4112 -2689039 * -128 344196992 Multiply -13546.3 and -89. 1205620.7 Multiply -1.438588598 and 0.1. -0.1438588598 -12090.8 times 11 -132998.8 What is 1317105.022 times 0.1? 131710.5022 0.04*-4.28496 -0.1713984 Multiply 22.8609 and -7.2. -164.59848 21.323849 * 8 170.590792 Product of -0.3081563 and -0.1. 0.03081563 What is 6306994 times 0.5? 3153497 What is 3012 times -3.47? -10451.64 Multiply 4 and 8502157. 34008628 3022 times -0.019394 -58.608668 What is -0.032524 times 1974? -64.202376 Multiply -469923.2 and -0.5. 234961.6 Work out 19 * 108520. 2061880 Work out 0.05 * -3223965. -161198.25 -9.0439*4.3 -38.88877 What is -0.8 times -385.513? 308.4104 Calculate -21084*91.2. -1922860.8 Product of -0.3 and -14528866. 4358659.8 750.403*-0.002 -1.500806 What is the product of 2 and 2717887? 5435774 What is -0.1 times 2476253? -247625.3 Calculate 89840272*8. 718722176 Multiply -708141 and 83. -58775703 Multiply 571590 and -0.5. -285795 Multiply -0.4 and 0.011232406. -0.0044929624 What is the product of -3283.51 and 10? -32835.1 26 * 7312726 190130876 Multiply 17651619 and 0.3. 5295485.7 Calculate 0.04598*78.97. 3.6310406 Work out -205785.87 * 31. -6379361.97 What is the product of 7067040 and 3.2? 22614528 41 times 0.18203 7.46323 148979639 * -0.4 -59591855.6 Multiply -2273649 and -0.3. 682094.7 163417*-1.43 -233686.31 Work out -241 * -818592. 197280672 Multiply -11024835 and -5. 55124175 What is 0 times -3397.91? 0 Multiply 0.2706 and -2.55. -0.69003 Multiply 6.24 and 10.78. 67.2672 Product of 20.2535 and 0.4. 8.1014 What is -2 times 14051.935? -28103.87 Work out 250.102 * 0.049. 12.254998 Work out -14 * -1599.8. 22397.2 Work out 106.8 * -1280. -136704 Work out 27.5 * -30.4. -836 1.3 * -6694998.3 -8703497.79 What is the product of -29249 and 135.1? -3951539.9 Product of -3 and 126.15498. -378.46494 -26.366*-2.001 52.758366 Calculate 381895679*3. 1145687037 What is -2 times 78137170? -156274340 1178832 * -1 -1178832 Work out -296.1267 * 0. 0 Multiply 0.2 and 2378246.7. 475649.34 Calculate 0.15*2949264. 442389.6 What is the product of 3537623 and 0.3? 1061286.9 19770829 times -8 -158166632 Calculate -37*-15.3987. 569.7519 Work out 357.3 * 23.035. 8230.4055 What is 3 times 7846661? 23539983 Work out -5189043 * 4. -20756172 What is the product of -0.0144286 and -9.7? 0.13995742 156549 times -0.021 -3287.529 Product of 4250836 and 0.01. 42508.36 0 times -4160292 0 -82562 * -0.33 27245.46 -16617*90.69 -1506995.73 Work out -1096 * -43915. 48130840 What is 0.05 times -49644706? -2482235.3 What is -10260266 times 0.03? -307807.98 16 * -4618283 -73892528 Work out 89.971442 * -2. -179.942884 What is -0.1 times -956852? 95685.2 -53447*-0.8 42757.6 Calculate -8*-5629361.9. 45034895.2 Multiply 2 and -0.9797903. -1.9595806 Calculate 0.1*-3908.6835. -390.86835 Product of -4 and 13.019796. -52.079184 Multiply 1213.3881 and -4. -4853.5524 Calculate 96.54*-15.48. -1494.4392 -15.6903341*-0.03 0.470710023 1097243 times -5 -5486215 6 times 6985110 41910660 What is the product of 43.1 and -66439.6? -2863546.76 -116705.34*-30 3501160.2 Calculate -242
{ "pile_set_name": "DM Mathematics" }
be 1/2 + (-3)/(-6). Differentiate -3*i**4 + a - 1 + 0 - 2 with respect to i. -12*i**3 Find the second derivative of 0 - 22*r**2 + 10*r + 27*r**2 + 0 wrt r. 10 Let j(l) be the second derivative of 1/4*l**4 + 0*l**2 + 0*l**3 + 0 + 4*l - 3/20*l**5. Find the third derivative of j(y) wrt y. -18 Let y(m) = 4*m**2 - 2*m + 16. Let h(s) = -8*s**2 + 5*s - 33. Let n(g) = 2*h(g) + 5*y(g). Find the first derivative of n(f) wrt f. 8*f Let q(v) be the third derivative of -13*v**8/336 + v**4/8 + 7*v**2. Find the second derivative of q(k) wrt k. -260*k**3 Let k(t) = 11*t**4 - 8*t**2 - 3*t - 3. Let m(d) = 56*d**4 - 40*d**2 - 14*d - 14. Let l(h) = 14*k(h) - 3*m(h). What is the third derivative of l(x) wrt x? -336*x Suppose w = -3 + 6. Suppose -5*i - 1 = -11. What is the second derivative of 27*t**i - 27*t**2 + w*t + 4*t**4 wrt t? 48*t**2 Let t(b) be the first derivative of 7*b**4/4 + b**2/2 - 2. What is the second derivative of t(i) wrt i? 42*i Suppose 3*b - 8 = 7. Find the third derivative of -3*u - 4*u**3 + 0*u + 3*u + b*u**2 wrt u. -24 Let o(b) be the first derivative of b**7/280 + b**4/4 - b**3/3 - 1. Let y(i) be the third derivative of o(i). Differentiate y(s) wrt s. 9*s**2 Let l(r) = -r**5 - r**4 + r**2 + r + 1. Let a(i) = 49*i**5 - 5*i**4 + 5*i**2 - 58*i + 5. Let j(o) = a(o) - 5*l(o). Find the second derivative of j(f) wrt f. 1080*f**3 Suppose 0 = -4*z + 16, -2*k = -3*k + 3*z - 6. Find the third derivative of 11*p**2 + 5*p**2 - 5*p**2 + 5*p**k wrt p. 600*p**3 Suppose -5*n = -22 + 67. Let c be n/(-6)*-2*-1. What is the second derivative of 3*i**4 + 3*i**3 - 3*i**c - i - 2*i wrt i? 36*i**2 Let b(y) = -y**3 - y**2 + y - 1. Let t(h) = -11*h**3 - 5*h**2 - 12*h - 5. Let i(w) = -5*b(w) + t(w). What is the second derivative of i(j) wrt j? -36*j Let t(r) = 4*r**2 - 3*r - 4. Let s(a) = 8*a**2 - 7*a - 9. Let o(w) = 4*s(w) - 9*t(w). What is the second derivative of o(m) wrt m? -8 What is the derivative of -2 + 2*l**2 + l**2 + 5*l**2 - 3*l**2 wrt l? 10*l Let w be (-18)/(-8) + (-7)/28. Find the first derivative of 5 + 0*r**w - r**3 + 0*r**2 - 3 wrt r. -3*r**2 Find the second derivative of 17*i + 136*i**4 - i**5 - 136*i**4 wrt i. -20*i**3 Let b(n) be the second derivative of -n**6/30 + 5*n**3/6 + 4*n. What is the second derivative of b(g) wrt g? -12*g**2 Suppose 9*v = 4*v. What is the third derivative of -2*r**2 - 10*r**5 + v*r**2 + 4*r**5 - r**5 wrt r? -420*r**2 Suppose 14 = -5*d + 39. Suppose 4*k - 13 = 5*m + 7, -d*k + 25 = 4*m. What is the third derivative of -5*g**2 + m*g**2 + 4*g**2 - 2*g**3 wrt g? -12 Let t = 28 + -24. What is the first derivative of 3 + 6 + 3*a**3 - 3*a**3 + t*a**3 wrt a? 12*a**2 Let x(y) be the third derivative of 13*y**4/24 - 17*y**3/6 - 6*y**2. Differentiate x(a) wrt a. 13 Let q(t) = t**3 + t**2 - t + 1. Let c(o) = -14*o**3 - 6*o**2 - 4*o - 6. Let b(i) = -c(i) - 6*q(i). What is the second derivative of b(l) wrt l? 48*l Let h(c) = -c**3 - 7*c**2 - 5*c + 8. Suppose 0 = 8*r - 3*r + 30. Let f be h(r). What is the third derivative of -2*z**f + 2*z**4 - 2*z**4 + z**4 wrt z? 24*z Let j(n) = 3*n**3 - 5*n**2 + 5*n + 7. Let a(q) = -6*q**2 - 8 + 1 - 4*q**3 + 12*q**2 - 6*q. Let t(b) = 5*a(b) + 6*j(b). What is the derivative of t(l) wrt l? -6*l**2 Let t(c) be the first derivative of 48*c**5/5 - 61*c - 66. Find the first derivative of t(k) wrt k. 192*k**3 Find the third derivative of -324*k**6 - k**2 + 295*k**6 - 26*k**2 wrt k. -3480*k**3 Suppose 6*f = f + 10. Suppose 0 = 5*h + 2*d - 12, 4*d - 7 = -f*h + d. What is the third derivative of -2*l**2 + 3*l**h + 2*l**5 + l**2 wrt l? 120*l**2 Let q(h) be the third derivative of -5*h**8/336 - 5*h**4/24 + 17*h**2. Find the second derivative of q(w) wrt w. -100*w**3 Let j(i) = i**2 - 11*i + 20. Let r be j(9). Let w(l) be the second derivative of r*l + 0 - 1/6*l**3 + 1/2*l**2. Find the first derivative of w(q) wrt q. -1 Find the third derivative of 23*j**3 - 12*j + 9*j**3 + 28*j**3 + 11*j + 13*j**2 wrt j. 360 Let g(k) be the third derivative of 0*k + 0*k**5 + 0*k**4 + 0 + 3*k**2 - 2/3*k**3 + 1/60*k**6. What is the first derivative of g(v) wrt v? 6*v**2 Let b = 9 + -9. What is the second derivative of a**3 + b*a + 3*a + 2*a - 4*a wrt a? 6*a Let o(c) = 1 - 1 + 3 + 7*c - 6 - 2*c**2. Suppose -5*a + 7 = -3. Let i(t) = -t**2 + 2*t - 1. Let s(x) = a*o(x) - 7*i(x). Differentiate s(r) wrt r. 6*r Let v = -6 + 13. What is the third derivative of v*z - 3*z - 4*z + z**2 - 2*z**4 wrt z? -48*z What is the first derivative of 2 + 4 - 11*d - 8 wrt d? -11 Find the third derivative of 11*n**3 - 11*n**2 - 10*n**5 - 11*n**3 - 11*n**2 wrt n. -600*n**2 Let v(y) = 3*y - 4. Let o(g) = -17 - 7*g + 7*g + 12*g. Let m(j) = -2*o(j) + 9*v(j). Find the first derivative of m(d) wrt d. 3 Suppose 5*n - 15 + 5 = 0. Suppose 3*u = 0, -h + 6*u + 18 = u. Find the third derivative of -18*j**4 + j**2 + h*j**4 + n*j**5 wrt j. 120*j**2 Let u(a) be the second derivative of -43*a**7/42 - 7*a**4/6 - 31*a. Find the third derivative of u(g) wrt g. -2580*g**2 Let w(b) = 5*b - 2 - 4 + 0 - 5. Let l(u) = -2*u + 5. Let c(y) = 9*l(y) + 4*w(y). What is the derivative of c(x) wrt x? 2 What is the second derivative of -25 + 16*n**3 + 6*n + 0*n + 25 wrt n? 96*n Let d(l) = -13*l**2 + 2*l - 14. Let k(s) = s**2 - s + 1. Let g(q) = d(q) + 2*k(q). What is the derivative of g(y) wrt y? -22*y Let k be (-11 + 10)*(0 + 0). What is the derivative of x - 2 - 2 + 4*x + k wrt x? 5 Suppose 0 = 5*n + 5*q - 40, n - 2*n + 16 = -q. Let t be 40/n*6/4. Find the second derivative of -t*f**2 + 0*f**2 + 3*f**2 - 3*f wrt f. -4 Let k(p) be the third derivative of 5*p**2 - 1/12*p**5 + 0*p + 1/336*p**8 + 0*p**3 + 0*p**6 + 0*p**7 + 0*p**4 + 0. What is the third derivative of k(h) wrt h? 60*h**2 Let v(t) be the second derivative of t**7/3 - 10*t**3/3 - 4*t. Find the second derivative of v(d) wrt d. 280*d**3 Suppose -1 = 4*r - 13. Let f(d) = d**2 - 3*d + 2. Let m be f(r). What is the third derivative of -2*l**m + 0*l**2 + l**4 + 0*l**4 wrt l? 24*l Let o(c) = c**3 - c**2 - 4*c - 1. Let t be (-3*(-1 - -2))/(-1). Let y be o(t). What is the third derivative of -2*p**2 + 0*p**5 + y*p**5 - 3*p**5 wrt p? 120*p**2 Let l be 166/7 - (-4)/14. Let d be 1/(-4) - (-54)/l. Differentiate -2*p**2 + p**2 - 2 + 3*p**d wrt p. 4*p Find the second derivative of 0*c**2 - 6*c + 0*c**2 + 2*c**2 wrt c. 4 Suppose -3*m + 4*l - 13 = 0, -7*l = -5*l - 8. Let k = 5 - m. What is the second derivative of 4*y - k*y**2 - 5*y + 4*y**2 + 2*y**2 wrt y? 4 Let l(j) = -j**3 - 9*j**2 - 8*j + 2. Suppose 8*i - 3*i + 40 = 0. Let p be l(i). What is the first derivative of 0 + p*d**4 - 1 + 2 wrt d? 8*d**3 What is the third derivative of 5*b**4 + 32 - 32 + 8*b**2 wrt b? 120*b Let y(t) = t**3 - 8*t**2 + 12*t + 2. Let w be y(6). What is the third derivative of 2*x**4 - 9*x**4 + 6*x**w - 9*x**2 wrt x? -168*x Let v(w) = -7*w**3 - 1. Let p(x) = -1. Let u(c) = 3*p(c) - v(c). Differentiate u(j) with respect to j. 21*j**2 Let u(j) be the first derivative of 13*j**4/4 + 3*j**2/2 + 8. What is the second derivative of u(p) wrt p? 78*p Let f(u) = u**3 - u**2 + u. Let g be f(1). Let y(p) = -4*p - 4. Let q(c) = c. Let j(k) = g*y(k) + 8*q(k). Find the first derivative of j(r) wrt r. 4 Let z be -2 + (-1 - 3)/(-4). Let x(t) = 7*t**2 + t + 8. Let p(w) = w**2 + w. Let f(g) = z*x(g) + p(g). Differentiate f(b) with respect to b. -12*b Suppose 8 = 5*s - 3*z - 32, -4*s + 5 = 3*z. Suppose s*v - 14 = -4. Differentiate -3*j**4 + 0*j**2 + 1 + 0*j**v with respect to j. -12*j**3 Let q = 21 - 17. What is the third derivative of 4*c**4 - 5*c**5 - q*c**4 + 2*c**2 - 7*c**2 wrt c? -300*c**2 Let p(x) be the third derivative of -x**5/60 - 7*x**4/24 + 25*x**3/6 + 26*x**2. Differentiate p(u) wrt u. -2*u - 7 Suppose 3 - 12 = -i. Let h = -7 + i. What is the first derivative of -h*w**3 + 8*w**3 + 3 - 2*w**3 wrt w? 12*w**2 Let x(l) be the second derivative of -1/3*l**3 + 4*l + 0*l**4 + 0*l**2 + 0*l**6 + 2/21*l**7 + 0*l**5 + 0. What is the second derivative of x(n) wrt n? 80*n**3 Suppose 5*w = m - 5, 0*w + 3*w + 4*m - 20 = 0. What is the second derivative of 2*r + 2*r**2 - 3*r + w*r - 5*r**2 wrt r? -6 What is the second derivative of -18*w**4 + 3*w + 2*w - 13*w wrt w? -216*w**2 What is the derivative of 5 - 7*a + 3 + 2*a + 0*a wrt a? -5 What is the second derivative of -52*s**4 - 844 + 16
{ "pile_set_name": "DM Mathematics" }
t v = -4.9 - -0.9. Let g = -12.1 + 12. Sort g, v, 0 in ascending order. v, g, 0 Let l(c) = c**3 + 6*c**2 + 7*c + 8. Let u be l(-5). Sort 4, u, -5. -5, u, 4 Suppose -1 = 2*k + 3*c, 5*k = 6*c - c - 40. Let q = 3.018 + -0.018. Put -4/5, q, k in ascending order. k, -4/5, q Let l(p) = -p - 5 + 3 + 2 - 6. Let h be l(-8). Let k(x) = -x**3 + x**2 - 1. Let y be k(0). Sort h, 1, y. y, 1, h Let s = -2/13 + 88/65. Sort -0.5, 3, s in increasing order. -0.5, s, 3 Suppose 18 = -6*w - 3*w. Sort 1, 3, w, -5 in descending order. 3, 1, w, -5 Suppose -3*t = 5*z - 36, z = -0*z - 5*t + 16. Let r = -3 + z. Suppose 5 = -4*n - 15. Put r, n, 0 in descending order. r, 0, n Suppose 6 + 3 = 3*o. Put -1/3, o, 4 in increasing order. -1/3, o, 4 Let p be (-21)/(-27) - (-2)/9. Let z = 30 + -28. Put p, z, -3 in ascending order. -3, p, z Suppose 5*n - 7 = -27. Suppose s + 20 = 3*d, -d + 10 = d. Suppose j = -4 + 5. Sort n, s, j. s, n, j Let u = 0.39 + -0.09. Put u, -0.5, 0 in decreasing order. u, 0, -0.5 Let v(y) = y**3 - 3*y**2 - y - 4. Let a be v(4). Suppose -w + a = 3*w. Suppose 6 + 9 = -5*n. Sort n, -4, w in decreasing order. w, n, -4 Let q be (0 - -157) + 3 + -2. Let z = q + -629/4. Sort z, -3/4, -0.1. -3/4, -0.1, z Suppose 4*w = 4*n - 0*n, -5*n - 10 = 0. Sort -5, w, -1 in decreasing order. -1, w, -5 Let b = 0.14 - -3.86. Put 1, 2/7, b in ascending order. 2/7, 1, b Let g be 11/(33/(-12)) + -1. Let y = -1.8 + 2. Sort -2, g, y. g, -2, y Let j = 2/33 + -80/231. Put -1, -1/4, j, -0.1 in ascending order. -1, j, -1/4, -0.1 Let b = -5.8 - -5.1. Let x be 4/(-6) - (-2 - -1). Put b, x, -1/2 in descending order. x, -1/2, b Suppose -4*o = k + 17, -2*k - 2*o = -0 + 10. Sort k, 1, -6 in ascending order. -6, k, 1 Let l(k) = 23*k**3 + 2*k**2 + k. Let o be l(-1). Let j be 2/(0 - (-4)/o). Let r = j - -11. Sort 0.1, r, 0.3. r, 0.1, 0.3 Suppose 5*h - 3 = 7. Sort 5, h, -2 in decreasing order. 5, h, -2 Let a = -26 + 23. Put 5, -0.4, a in ascending order. a, -0.4, 5 Suppose -2*x = x - c - 17, 0 = -2*x + 3*c + 9. Put -5, -4, x in ascending order. -5, -4, x Suppose 5*c + 11 = -3*m, 7*c - 2*c = 4*m - 32. Let t be 1/(-4) + 15/c. Suppose -3*d + 4 = 2*n - 0*d, -18 = -4*n - d. Put n, 3, t in increasing order. t, 3, n Suppose 3*a = -15, -3*a = 4*v - 6*a - 7. Let u(h) = -4*h + 1. Let w be u(1). Put v, w, 3 in ascending order. w, v, 3 Let i(y) = -y + 3. Let l be i(4). Sort -1/2, -0.4, l in decreasing order. -0.4, -1/2, l Let h be 30/(-4)*(-32)/(-40). Let r = -1.98 - 0.02. Put h, 5/6, r in decreasing order. 5/6, r, h Let b = -0.017 - -0.217. Sort b, -0.2, -3 in descending order. b, -0.2, -3 Let z = 6 + -7. Let y = 2.4 - 0.4. Sort -2, z, y. -2, z, y Suppose -5*t + 8 = -2. Let p be ((-2)/(-6))/(t/102). Suppose -p = 4*q - 5*n, 3*q + 3*n = 17 + 4. Sort q, 1, 0 in decreasing order. q, 1, 0 Suppose -4 = -3*s + 5. Let t be -14*s*(-2)/(-54). Let d = -4/3 - t. Put d, 1/3, -0.3 in descending order. 1/3, d, -0.3 Let w be (-6)/(10 - 4) + 3. Sort w, -6, 0, 1 in increasing order. -6, 0, 1, w Suppose 5*t = 4*k - 13 + 3, -20 = -2*k - 5*t. Suppose 0 = -s + k*h + 10, -s + 0*s = -2*h - 4. Put s, -1, 2 in increasing order. -1, s, 2 Suppose -2*l = -0*t - 3*t + 28, l = -2*t + 14. Suppose -5*f - 2 = -22. Suppose f*a = 8*a - t. Sort -3, 4, a in ascending order. -3, a, 4 Let w = -4 + 3.6. Let u = 2 - 2.3. Sort 5, u, w in decreasing order. 5, u, w Suppose -12 = -2*r - 3*l - 5, 3*r = 3*l - 12. Suppose 10 = 100*d - 105*d. Let p be -1 - -4 - (-1)/1. Sort d, r, p. d, r, p Suppose 0*q + 3*h = 2*q, 0 = -5*q - 5*h + 25. Put q, -2, -9 in increasing order. -9, -2, q Let u = -0.3 - -0.8. Sort -0.4, -1/18, u. -0.4, -1/18, u Let w = 18 + -4. Put w, 0.2, 2 in descending order. w, 2, 0.2 Let a be (3 - 35/15) + 22/(-6). Sort -1, a, 2, 4 in ascending order. a, -1, 2, 4 Let p be (-1 + 4)/((-6)/4). Let c be (2/20)/(p/8). Sort c, 0.4, -4 in increasing order. -4, c, 0.4 Let u = -87 - -86. Sort -2, 4, u, -5 in decreasing order. 4, u, -2, -5 Suppose -5*l - 25 = 0, 5*x - 2*l + 10 = -0. Put -5, x, 5 in descending order. 5, x, -5 Let p = -1.1 + 0.1. Let h(v) = -v**2 - 17*v - 18. Let q be h(-16). Let t = -2126/19 + 112. Sort p, q, t in decreasing order. t, p, q Let i = 21 - 14. Let v = -7 + i. Let k(g) = g**3 - 4. Let a be k(0). Put -3, v, a in ascending order. a, -3, v Let c = -3 - -3. Let i = 2 - c. Let m = -1 - -6. Sort m, -2/11, i in decreasing order. m, i, -2/11 Let n(p) be the first derivative of p**3/3 + p**2 - 5*p + 3. Let b be n(-4). Put 1, 2, b in descending order. b, 2, 1 Suppose 20 = -4*l - 8. Put -2, l, -4 in decreasing order. -2, -4, l Let k = 7 - 7.3. Let x = 27 - 24. Sort x, k, 0.4 in increasing order. k, 0.4, x Let b = 1 - 11. Suppose 2*y = 6*y + 20. Sort y, 4, b in ascending order. b, y, 4 Let h = 0.2 + -0.1. Put -1/3, -2/25, h in increasing order. -1/3, -2/25, h Let c = -0.052 + 0.332. Sort -0.5, c, -4 in increasing order. -4, -0.5, c Let j(o) be the first derivative of o**4/4 - o**3/3 + 4*o + 3. Let d be j(0). Put -5, -2, d in decreasing order. d, -2, -5 Let q(s) = -s**3 + 6*s**2 - 2*s + 14. Let y be q(6). Put y, -1, -3 in descending order. y, -1, -3 Let m be 0/(1/(-1 + 0)). Let v(w) = w - 7. Let d be v(3). Let l = 278 + -1943/7. Put m, d, l in ascending order. d, m, l Let l(j) be the first derivative of -j**3/3 + 3*j**2 + 4*j + 1. Let k be l(6). Sort -1, -3, k in decreasing order. k, -1, -3 Let c = 3 + 0. Let r = -21 + 8. Let a = 9 + r. Put 5, a, c in descending order. 5, c, a Let y = -0.3 + 3.3. Let w = 0.5 - 1. Sort y, -5, w. -5, w, y Let r(c) = c**3 - 5*c**2 + 4. Let t be r(5). Sort -6, t, 5 in ascending order. -6, t, 5 Let b = 8 - 5. Let t be (-6 + b)*(2 - 3). Sort 5, -1, t. -1, t, 5 Suppose 0 = -3*k + k + 4. Sort k, -2, -6 in descending order. k, -2, -6 Let a = 0 + 0.2. Put -1/4, 4, a in decreasing order. 4, a, -1/4 Let q(g) = -g**3 + 8*g**2 + 9*g + 11. Let t be q(9). Suppose 12*d - t*d = -5. Sort 1, d, 5 in ascending order. d, 1, 5 Suppose -4*p + 2*s - 14 = 0, -s = -p + 5*p + 5. Let o(t) = t**3 + 6*t**2 - 7*t - 4. Let z be o(-7). Sort 0, p, z in descending order. 0, p, z Suppose 2*x + 32 = 7*q - 3*q, -3*q + 2*x + 25 = 0. Suppose -2 = -3*h + q. Let s = 21 + -26. Sort h, s, 0.4 in descending order. h, 0.4, s Let v = -8 - -1. Let x be 0 + 4/(-1) + -1. Sort v, -3, x in increasing order. v, x, -3 Let a = 55 - 59. Sort -2/13, a, 5. a, -2/13, 5 Let l = -2 + 1. Let b = -2.43 + -10.47. Let h = b + 13. Put l, 4/5, h in descending order. 4/5, h, l Suppose 8 = -2*s - 2. Sort 2, 5, s, 4 in ascending order. s, 2, 4, 5 Suppose -3 = -2*a + 5*j, -j = -6*j - 5. Let k be (a - (2 + -6)) + 0. Put k, 1, 5 in decreasing order. 5, k, 1 Suppose -4*j - 36 = 2*j. Suppose 5*v = -19 - 6. Sort v, j, -3 in decreasing order. -3, v, j Suppose 0 = -4*k - 16, -2*k = -3*h + h. Let q = 14/11 - 23/44. Sort q, h, -5 in decreasing order. q, h, -5 Suppose 34 - 9 = 5*b. Let l = 0.46 - -0.04. Put -0.4, b, l in increasing order. -0.4, l, b Suppose -f = 2*x - 5, -7 = -5*x - 0*x + 3*f. Sort x, 1, 4 in increasing order. 1, x, 4 Let v(z) = -z**3 + z**2 - z - 1. Let a be v(2). Let c be ((-2)/a)/((-4)/6). Put 3/7, c, -1 in descending order. 3/7, c, -1 Let g = 1 + 0. Let j = -3 + g. Let l = -42 + 44. Sort l, j, 1 in descending order. l, 1, j Let j = 0.1 + 0.4. Let p = j - 0.53. Let y = p + -4.97. Sort 0.4, -0.2, y in descending order. 0.4, -0.2, y Let p(l) = -1 - 4*l**2 + 3*l**2 + 11*l - 3*l - 2. Let z be p(8). Put -2, z, 2 in descending order. 2, -2, z Let j = -63 - -62. Put 2/11, j, 18 in increasing order. j, 2/11, 18 Suppose o + 4 + 3 = 0. Let z = o - -8. Put z, -1, 5 in decreasing order. 5, z, -1 Suppose -5*f = -2 - 13. Let b = -7 - 1. Let u = b - -6. Put u, f, -1 in descending order. f, -1, u Let m = 1 - 1.3. Let n be (-4)/6*159 - 2. Let f be (-3 - n/21) + -2. Sort 1, m, f in decreasing order. 1, f, m Let u = -3.5 + 3.4. Sort u, -3/4, -0.17 in decreasing order. u, -0.17, -3/4 Let n = -17.5 - -17. Sort n, 0, -4 in descending order. 0, n, -4 Suppose b = -2 + 1. Let z be (-59)/15*43*b. Let q = 169 - z. Put -3, -1/4, q in descending order. q, -1/4, -3 Suppose 43*n - 44*n - 5 = 0. Sort 0, 1, n. n, 0, 1 Let n = -0.04 - -0.44. Let a = n + -1.4. Put 1, 1/8, a in ascending order. a, 1/8, 1 Let y = -0.15 - 2.85. Let g(q) be the third derivative of q**5/60 + q**4/4 - 2*q**3/3 - q**2.
{ "pile_set_name": "DM Mathematics" }
or s. -14 Solve -4*j + 6 = 18*j - 390 for j. 18 Solve 931*d - 344 = 3926 - 546 for d. 4 Solve 417*s = 201*s + 189*s + 27 for s. 1 Solve 331*a - 1209*a - 18438 = 0 for a. -21 Solve 428 = -573*l + 595*l + 164 for l. 12 Solve -26*g + 165 = 28*g + g for g. 3 Solve 162*n - 1176 = -1014 for n. 1 Solve 10757 + 1965 = -789*l - 1480 for l. -18 Solve 4*l = 2718 - 2706 for l. 3 Solve 17*q + 239 = -5*q + 41 for q. -9 Solve 0 = 572*w - 617*w + 540 for w. 12 Solve 412*t - 168*t + 9540 = -551*t for t. -12 Solve 3270 = -591*d + 15681 for d. 21 Solve 4*x + 2211 = 104*x + 111 for x. 21 Solve 27*b + 17 = -37*b + 65*b for b. 17 Solve -341 = -53*k + 2 + 293 for k. 12 Solve -1171*h = -971*h + 3000 for h. -15 Solve 4*r + 13*r = 204 for r. 12 Solve 53 - 25 = 14*l for l. 2 Solve 595*f - 572*f - 25 = -94 for f. -3 Solve -133*u + 20*u - 1404 = -35*u for u. -18 Solve 62*d + 2922 = -106*d - 942 for d. -23 Solve 6701 = 2*u + 6721 for u. -10 Solve -67*x - 46*x - 113 = 0 for x. -1 Solve 309*m - 1 + 1 = -54*m for m. 0 Solve 19178*m - 19139*m = -819 for m. -21 Solve 656*z - 126 = 614*z for z. 3 Solve -186*n - 1964 = 125*n + 2390 for n. -14 Solve 70*l = 133*l + 92*l - 1395 for l. 9 Solve 13*m - 307 = -50*m + 197 for m. 8 Solve -2073*b + 2064*b - 117 = 0 for b. -13 Solve 20*r + 48 = -112 for r. -8 Solve 4*u - 2*u + 91 = -5*u for u. -13 Solve 0 = -14*k - 4152 + 3956 for k. -14 Solve 3*t + 25*t - 448 = 0 for t. 16 Solve -1054*o - 154 = -1065*o for o. 14 Solve 112 = 468*s + 472*s - 948*s for s. -14 Solve -41 = 58*m + 307 for m. -6 Solve -391*v + 88 + 253 = -50 for v. 1 Solve 5*b = 11*b + 7*b + 260 for b. -20 Solve -173 - 1347 = -211*u + 116*u for u. 16 Solve 0 = 48*y - 58*y + 140 for y. 14 Solve 18*l + 425 + 418 = 897 for l. 3 Solve 0 = 46*h - 20*h + 75 + 497 for h. -22 Solve 250*l + 258*l = -5588 for l. -11 Solve -90 = 17*r + 13 + 67 for r. -10 Solve -704 = -75*s + 711 - 515 for s. 12 Solve -6676 = 859*a + 542*a - 1072 for a. -4 Solve -1891*v = -1976*v + 510 for v. 6 Solve -1455 = -105*d - 118 + 28 for d. 13 Solve -7*i + 14*i - 22*i + 120 = 0 for i. 8 Solve 0 = -513*x + 449*x + 10 - 202 for x. -3 Solve -55*v - 10 = -450 for v. 8 Solve 352*f + 510 + 1954 = 0 for f. -7 Solve 6*z = -55*z - 36*z - 194 for z. -2 Solve 0 = -129*h + 65*h + 57*h + 91 for h. 13 Solve 25*q - 11757 = -11782 for q. -1 Solve 0 = 26*d + 10*d + 144 for d. -4 Solve -12*s + 8713 = 8629 for s. 7 Solve 90*a - 81 = -96*a + 177*a for a. 9 Solve 159*y - 171*y = -13 - 143 for y. 13 Solve 486*c = -8853 - 1353 for c. -21 Solve -3210*u + 663 = -3159*u for u. 13 Solve -55*s - 42 + 12 - 25 = 0 for s. -1 Solve 5537 - 1585 = 223*p - 15*p for p. 19 Solve 0 = 46*y + 68*y + 412*y + 526 for y. -1 Solve -5844 = 38*i - 5084 for i. -20 Solve 27*b - 28 + 1 + 0 = 0 for b. 1 Solve 12*p - 64 = -20 - 224 for p. -15 Solve 129*a - 804 = 357 for a. 9 Solve 296*v = 279*v + 255 for v. 15 Solve -111 - 54 = 32*h + 91 for h. -8 Solve 0 = 63*h - 1294 + 569 - 535 for h. 20 Solve -628*c + 4816 = 60*c for c. 7 Solve -190*t + 79*t = -555 for t. 5 Solve -671 = -97*c - 1738 for c. -11 Solve -26 = 2*x + 30 - 58 for x. 1 Solve -169*o + 1018 - 173 = 0 for o. 5 Solve 1554*y - 161*y = -30646 for y. -22 Solve 715 = -62*n + 13*n - 1245 for n. -40 Solve 850 = -25*c + 91*c + 19*c for c. 10 Solve 23*a + 7193 = 6825 for a. -16 Solve 185*y + 0 = 195*y - 30 for y. 3 Solve 23 = -11*d - 142 for d. -15 Solve 8722*b = 8526*b - 2352 for b. -12 Solve 2012 - 2156 = -5*y - y for y. 24 Solve 34*v + 83066 = 82726 for v. -10 Solve 95*q - 2084 = -89 for q. 21 Solve -3*m + 37 = 4 for m. 11 Solve 26425 = -312*k - 963*k + 218*k for k. -25 Solve -24*c = -189 + 525 for c. -14 Solve 187 + 90 = 31*z + 91 for z. 6 Solve -149*j = -86*j - 1071 for j. 17 Solve 229 + 446 = -419*x - 256*x for x. -1 Solve -293*j + 178*j = 1265 for j. -11 Solve 4*a + 82 = -24*a - 58 for a. -5 Solve -855*b + 30 = -870*b for b. -2 Solve 99 = -5*k - 4*k + 72 for k. -3 Solve 0 = -341*v + 185*v + 178*v - 110 for v. 5 Solve 171 = 11*z + 29 - 23 for z. 15 Solve -2237 = -76*p - 945 for p. 17 Solve -d + 30 = 53 - 32 for d. 9 Solve 0 = -7*f + 191316 - 191176 for f. 20 Solve 27 = -18*z - 28 - 251 for z. -17 Solve 21*k + 35*k + 105 = 41*k for k. -7 Solve 141*o - 1614 = -128*o for o. 6 Solve 256*o + 266*o + 2088 = 0 for o. -4 Solve 11*x - 14 = 37 + 15 for x. 6 Solve 8*v - 33*v = 5*v - 120 for v. 4 Solve -149*g - 177*g = 33*g + 6103 for g. -17 Solve 18 - 943 = -45*l + 20 for l. 21 Solve -162*p - 156*p + 10465 = 137*p for p. 23 Solve 20*w + 98 = -205 - 77 for w. -19 Solve -38*t + 349 = -297 for t. 17 Solve -t - 24 = t + 2*t for t. -6 Solve 0 = 202*z + 1435 - 2041 for z. 3 Solve -1505 - 313 = 101*y for y. -18 Solve 480*r = 2799 - 16719 for r. -29 Solve -154584*q + 1920 = -154464*q for q. 16 Solve -188*x + 155*x - 231 = 0 for x. -7 Solve -8 = -223*b + 225*b for b. -4 Solve -4088 = -875*u + 16037 for u. 23 Solve 51 = -12*y - 13 + 4 for y. -5 Solve 171 = 23*f + 5 - 18 for f. 8 Solve -98*m - 462 = 56*m for m. -3 Solve -438*x - 577*x + 11980 - 2845 = 0 for x. 9 Solve 745*j + 565*j = -36680 for j. -28 Solve -131*m - 133 = -62*m - 62*m for m. -19 Solve -36*a - 44*a + 82*a - 30 = 0 for a. 15 Solve 21*a - 15*a + 20*a - 260 = 0 for a. 10 Solve -337 = -148*s - 33 - 2524 for s. -15 Solve 51*q - 24*q - 18*q = -252 for q. -28 Solve 48*z - 10*z + 38 = 0 for z. -1 Solve -1961*u + 1999*u = -228 for u. -6 Solve 165*c + 200 + 324 = 34*c for c. -4 Solve -88*n - 207 = -234*n + 231 for n. 3 Solve 113*d + 174 = 55*d for d. -3 Solve -43*t - 187 = 148 + 353 for t. -16 Solve -390 = -69*w - 1056 - 369 for w. -15 Solve 2376 = -571*k + 1842 - 4605 for k. -9 Solve -x = -6705 + 6697 for x. 8 Solve -42*q + 75*q = 264 for q. 8 Solve -238*b - 4988 = -35*b - 1334 for b. -18 Solve -41*s = 64 - 392 for s. 8 Solve -68*r = -69*r - 84*r + 2975 for r. 35 Solve 119*t - 242*t + 3690 = 0 for t. 30 Solve 701 = -114*l + 1955 for l. 11 Solve 1976 = -203*m + 279*m for m. 26 Solve 13229 + 4083 + 8635 = -961*x for x. -27 Solve 1988*u + 936*u + 26316 = 0 for u. -9 Solve 758*p - 1936*p - 31806 = 0 for p. -27 Solve 16*y + 1717 = -67*y - 18*y for y. -17 Solve 135*n - 369 - 27 = 9 for n. 3 Solve 54 - 46 = -39*s + 125 for s. 3 Solve -137*a - 1155 = 1248 - 74 for a. -17 Solve 83*n = -19*n - 306 for n. -3 Solve 28*r = -11*r - 351 for r. -9 Solve 159*u - 1281*u + 26841 = 45*u for u. 23 Solve -582*a = -30*a - 3864 for a. 7 Solve h + 0*h - 104 = -108 for h. -4 Solve 34*x + 3335 = 2655 for x. -20 Solve -2518 - 16 = -215*v + 396*v for v. -14 Solve -466 = -43*z - 79 for z. 9 Solve -125*k + 1230 = -43*k for k. 15 Solve -128*j + 1989 = -2236 + 769 for j. 27 Solve -397*g + 411*g + 30 = -82 for g. -8 Solve 0 = 8653*m - 8370*m + 7075 for m. -25 Solve -24*j + 198*j = -522 for j. -3 Solve 84*y + 33*y = 351 for y. 3 Solve 0 = 633*o - 652*o for o. 0 Solve -34*x + 76*x - 448 = 10*x for x. 14 Solve -4835*c = -4199*c - 16536 for c. 26 Solve -3*c - 100 = -16*c - 113 for c. -1 Solve -159*j = 160*j - 405 + 3595 for j. -10 Solve 18*c - 3329 = -444*c + 5911 for c. 20 Solve 511 = -53*r + 617 for r. 2 Solve -10*q + 25 + 27 - 2 = 0 for q. 5 Solve 16*v + 29 = -71 - 12 for v. -7 Solve 3290*q - 3294*q = -72 for q. 18 Solve -2121 - 1857 = -153*y for y. 26 Solve 0 = -35*i + 122 - 78 + 131 for i. 5 Solve -68 = 6*l - 26 for l. -7 Solve -5868 = 130*g - 7298 for g. 11 Solve -105368*p + 105348*p + 120 = 0 for p. 6 Solve 30*d - 22*d = 48 for d. 6 Solve 9*f + 240 = 27*f - 2*f for f. 15 Solve 0 = -718*r + 1902 + 2342 - 654 for r. 5 Solve -50*f = 82 + 868 for f. -19 Solve 46*h = 4*h + 42 for h. 1 Solve -1210 = -435*p - 10345 for p. -21 Solve -27 = -106*v - 133 for v. -1 Solve -5 = 32*i - 18 + 13 for i. 0 Solve 2*y + 140 = -36*y + 18*y for y. -7 Solve 0 = -19*g - 166 - 195 for g. -19 Solve -9437 = 943*h + 27340 for h. -39 Solve -77*b - 698 = -1055*b + 2236 for b. 3 Solve -3312 = 60*k + 74*k + 10*k for k. -23 Solve 13*j - 56*j = -473 for j. 11 Solve -234*o = -656*o - 5064 for o. -12 Solve -503 = -26*y - 217 for y. 11 Solve 46 = 3*t - 49*t for t. -1 Solve 7646*d = 7737*d + 637 for d. -7 Solve -64*a = 37 + 70 + 85 for a. -3 Solve -240 = -14*f + 13*f + 41*f for f. -6 Solve 22*n - 110*n - 1848 = 0 for n. -21 Solve -20901*y - 250 = -20926*y for y. 10 Solve 191 = -40*x + 1031 for x. 21 Solve 282*t = 24*t + 21*t - 1896 for t
{ "pile_set_name": "DM Mathematics" }
nd 2:56 PM? 547 How many minutes are there between 3:40 AM and 6:19 AM? 159 What is 454 minutes before 9:31 AM? 1:57 AM How many minutes are there between 3:43 PM and 10:08 PM? 385 How many minutes are there between 9:07 PM and 7:12 AM? 605 How many minutes are there between 11:05 AM and 4:07 PM? 302 What is 337 minutes after 9:34 AM? 3:11 PM What is 171 minutes before 5:37 AM? 2:46 AM What is 355 minutes after 1:42 AM? 7:37 AM What is 27 minutes before 6:10 PM? 5:43 PM What is 474 minutes before 9:56 PM? 2:02 PM What is 488 minutes after 11:18 PM? 7:26 AM How many minutes are there between 1:52 PM and 6:03 PM? 251 What is 92 minutes after 3:16 AM? 4:48 AM How many minutes are there between 5:56 AM and 9:10 AM? 194 What is 320 minutes after 10:58 AM? 4:18 PM What is 595 minutes after 5:26 PM? 3:21 AM How many minutes are there between 11:07 AM and 1:02 PM? 115 What is 474 minutes before 1:48 AM? 5:54 PM How many minutes are there between 10:20 PM and 12:53 AM? 153 What is 482 minutes before 2:40 AM? 6:38 PM How many minutes are there between 2:21 PM and 2:10 AM? 709 What is 372 minutes before 12:22 AM? 6:10 PM How many minutes are there between 9:03 PM and 2:05 AM? 302 How many minutes are there between 4:05 AM and 2:22 PM? 617 How many minutes are there between 10:28 PM and 6:55 AM? 507 How many minutes are there between 8:09 AM and 2:23 PM? 374 What is 620 minutes after 1:37 PM? 11:57 PM What is 12 minutes before 4:21 AM? 4:09 AM How many minutes are there between 2:00 AM and 7:45 AM? 345 What is 677 minutes after 5:33 PM? 4:50 AM How many minutes are there between 5:50 AM and 5:37 PM? 707 What is 699 minutes before 1:42 AM? 2:03 PM How many minutes are there between 4:48 AM and 10:06 AM? 318 What is 597 minutes after 7:28 PM? 5:25 AM How many minutes are there between 5:43 AM and 11:14 AM? 331 How many minutes are there between 7:05 AM and 3:51 PM? 526 What is 406 minutes before 3:17 PM? 8:31 AM What is 137 minutes before 7:13 AM? 4:56 AM How many minutes are there between 9:27 AM and 4:12 PM? 405 What is 209 minutes before 7:32 PM? 4:03 PM How many minutes are there between 7:56 AM and 5:43 PM? 587 How many minutes are there between 1:03 PM and 8:15 PM? 432 How many minutes are there between 12:58 AM and 1:23 AM? 25 What is 342 minutes after 6:56 PM? 12:38 AM How many minutes are there between 8:08 PM and 6:24 AM? 616 What is 54 minutes after 2:09 PM? 3:03 PM What is 616 minutes after 2:36 AM? 12:52 PM How many minutes are there between 9:47 PM and 11:37 PM? 110 How many minutes are there between 9:22 PM and 8:08 AM? 646 How many minutes are there between 5:29 PM and 3:10 AM? 581 How many minutes are there between 5:36 AM and 7:18 AM? 102 How many minutes are there between 11:52 PM and 2:37 AM? 165 How many minutes are there between 3:00 AM and 8:23 AM? 323 How many minutes are there between 11:24 AM and 6:32 PM? 428 What is 328 minutes before 8:53 AM? 3:25 AM How many minutes are there between 7:01 AM and 4:44 PM? 583 What is 265 minutes before 10:37 AM? 6:12 AM What is 430 minutes before 12:12 AM? 5:02 PM How many minutes are there between 10:45 AM and 6:27 PM? 462 How many minutes are there between 2:37 PM and 10:02 PM? 445 What is 142 minutes before 2:56 AM? 12:34 AM How many minutes are there between 3:52 PM and 4:46 PM? 54 What is 620 minutes after 5:39 AM? 3:59 PM How many minutes are there between 1:57 AM and 8:47 AM? 410 How many minutes are there between 11:18 PM and 12:07 AM? 49 How many minutes are there between 1:32 PM and 10:20 PM? 528 What is 672 minutes before 11:38 PM? 12:26 PM What is 699 minutes after 11:56 PM? 11:35 AM What is 54 minutes after 10:13 PM? 11:07 PM How many minutes are there between 1:46 PM and 1:17 AM? 691 How many minutes are there between 12:58 AM and 12:41 PM? 703 How many minutes are there between 3:10 PM and 8:12 PM? 302 What is 692 minutes after 10:50 PM? 10:22 AM How many minutes are there between 11:31 PM and 1:32 AM? 121 What is 420 minutes after 3:20 AM? 10:20 AM What is 505 minutes before 4:48 AM? 8:23 PM What is 115 minutes after 9:43 PM? 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342 What is 670 minutes before 9:32 PM? 10:22 AM How many minutes are there between 8:33 AM and 8:17 PM? 704 How many minutes are there between 6:00 PM and 1:01 AM? 421 What is 430 minutes after 5:21 AM? 12:31 PM How many minutes are there between 9:22 PM and 2:26 AM? 304 What is 313 minutes before 10:14 PM? 5:01 PM What is 482 minutes before 1:16 PM? 5:14 AM How many minutes are there between 8:35 PM and 1:56 AM? 321 How many minutes are there between 3:40 AM and 2:21 PM? 641 What is 524 minutes after 5:24 AM? 2:08 PM How many minutes are there between 2:14 AM and 10:15 AM? 481 What is 40 minutes after 9:42 AM? 10:22 AM How many minutes are there between 6:18 AM and 4:07 PM? 589 What is 355 minutes after 9:41 AM? 3:36 PM How many minutes are there between 8:11 AM and 10:45 AM? 154 What is 388 minutes before 12:58 AM? 6:30 PM What is 39 minutes after 12:31 PM? 1:10 PM What is 429 minutes before 1:23 AM? 6:14 PM How many minutes are there between 10:26 AM and 3:03 PM? 277 What is 584 minutes after 1:09 AM? 10:53 AM How many minutes are there between 8:01 AM and 5:25 PM? 564 What is 103 minutes before 3:19 PM? 1:36 PM What is 625 minutes after 1:18 AM? 11:43 AM How many minutes are there between 9:21 AM and 1:55 PM? 274 How many minutes are there between 3:46 AM and 4:26 AM? 40 How many minutes are there between 4:40 PM and 5:47 PM? 67 What is 472 minutes before 1:36 AM? 5:44 PM What is 158 minutes before 5:55 PM? 3:17 PM What is 689 minutes before 9:08 PM? 9:39 AM What is 394 minutes after 3:37 AM? 10:11 AM How many minutes are there between 5:48 PM and 12:33 AM? 405 How many minutes are there between 10:15 AM and 2:06 PM? 231 How many minutes are there between 7:58 PM and 7:01 AM? 663 What is 676 minutes after 12:27 AM? 11:43 AM How many minutes are there between 2:13 PM and 10:00 PM? 467 What is 453 minutes after 3:01 PM? 10:34 PM What is 634 minutes after 2:19 PM? 12:53 AM What is 373 minutes after 4:38 AM? 10:51 AM How many minutes are there between 10:55 AM and 3:59 PM? 304 How many minutes are there between 11:56 AM and 1:05 PM? 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706 How many minutes are there between 8:55
{ "pile_set_name": "DM Mathematics" }
*c**3)*(4 - 4 + c**2). -5*c**5 - c**2 Expand (-m - 2*m + 0*m)*(2 + 3 - 3)*(-m**2 - m + m) + 28 - 8*m**3 - 28. -2*m**3 Expand (-3*p + 4*p + 0*p)*((-4 - p + 4)*(3*p + 2*p - 4*p) - 2*p**2 - 1 + 1 + 4*p**2 - 4*p**2 - 2*p**2 - 2*p - p**2 + 2*p + 85*p + 9*p**2 - 85*p). 3*p**3 Expand -3*v**4 + 6*v**4 - 2*v**4 + (-2*v**3 - 2*v**3 + 6*v**3)*(2*v + 4 - 4) - 4*v**4 + 0*v**4 + 6*v**4 + v**4 + 0*v**4 + 3*v**4. 11*v**4 Expand 0*t**2 + 2*t**5 + 0*t**2 + (-3*t**4 + 3*t**4 - 2*t**5)*(3 + 10 - 1). -22*t**5 Expand -2*c**4 + 0 + 0 + c**2 - c**2 + 2*c**4 + (3*c - 3*c + 2*c**3)*(0 + 0 + c) + 2*c**4 - c**4 + 0*c**4 - 35*c**4 - 10*c + 10*c. -32*c**4 Expand (3*x + 7*x - 2*x)*(-4 + 5 + 2)*(5 - 3 + 0)*(0 + 2 + 1). 144*x Expand (-3*l**5 - 2*l**4 + 2*l**4)*(4 - 11 - 5) - 2*l**3 + 2*l**3 - 2*l**5. 34*l**5 Expand (2*t**4 + 2*t**4 - 3*t**4)*(2*t + t - 2*t) + (3*t**2 + 2*t**2 - 4*t**2)*(t**3 - 3*t**3 + t**3) + 2*t**5 - 2*t**5 - 10*t**5. -10*t**5 Expand -34 + 34 + 20*j**2 + (0*j**2 - j**2 + 2*j**2)*(5 - 3 - 3). 19*j**2 Expand (7*y**3 - y**3 + 7*y**3)*(0*y + y + y - 1). 26*y**4 - 13*y**3 Expand (13 - 9 + 15)*(-2*u + 1 - 1)*(-3 + 1 + 0). 76*u Expand (y - y - y)*(0 - 1 + 37*y - 38*y). y**2 + y Expand -6 - i + 5 - i + (1 - 2 + 0)*(5*i - 3*i + i) + 3*i + 2*i - 3*i. -3*i - 1 Expand (-3*a + 5*a - 3*a)*(-a - 5*a + 2*a) - 2*a**2 + 0*a**2 + 3*a**2. 5*a**2 Expand (2*a - 3*a + 5*a)*(1 - a - 1 + (a + 3*a - 3*a)*(0 - 3 + 1) + a - 4*a + 0*a - a + 4*a - 2*a). -20*a**2 Expand 17*a - 22*a - 19*a + (3*a - 2*a + 0*a)*(-2 + 3 + 0). -23*a Expand (-k - k + 4*k)*(-7 - 6 + 16)*(3 - 5 + 1). -6*k Expand (3*c**2 - 3*c**2 + 3*c**3)*(-c**2 - 2*c + 2*c) - 2*c**5 - 2*c**5 + 2*c**5. -5*c**5 Expand -148*t + 148*t - 16*t**2 - 2 + 2*t**2 + 2 + (-t - 2 + 2)*(0 + 0 - 2*t) + t**2 + 3 - 3 + (-4*t + 4*t - 2*t)*(-2 + t + 2) - 2*t**2 + 2 + 0*t + 0*t. -15*t**2 + 2 Expand (2*j**3 - j**3 + 0*j**3)*(-9 + 3 + 1)*(1 - 1 + 2*j). -10*j**4 Expand (q + 0*q + 0*q + (-3 - 1 + 2)*(-q - q + q))*(-2*q**2 + 5*q**2 - q**2). 6*q**3 Expand 3 - 3 - 3*f + (-3 + 3 - 2)*(f + 2*f - 4*f)*(2 - 2 - 1). -5*f Expand -4*j**5 + 0 + 0 + (-6*j**3 - 5*j**5 + 6*j**3)*(5 - 3 + 0)*(3 - 1 - 3). 6*j**5 Expand -13 + w**2 + 13 + (4 - 2 - 1)*(3*w**2 - w**2 + 0*w**2). 3*w**2 Expand ((-2*k - k + 2*k)*(-1 + 2 + 1) + 2*k - k - 2*k + 0*k - 5*k + 3*k)*(0 - 1 - 5). 30*k Expand (2*v**2 - 3*v**2 - 3*v + v)*(22*v**2 + 564*v - 564*v) - 2*v**2 - 2*v**4 + 2*v**2. -24*v**4 - 44*v**3 Expand (2*i**3 - 2*i + 2*i)*(2*i - 3*i - 4*i)*((2*i - 6*i + i)*(-2 + 0 + 3) + (i + 2 - 2)*(-3 + 3 - 1) - 2*i - 2*i + 3*i). 50*i**5 Expand (-3 - 2*q**2 + 3)*(-9 + 1 + 2)*(-4 + 4 + 2). 24*q**2 Expand -4*j**3 - 2*j**2 + 2*j**2 + (-j + j**2 + j)*(j - j - 5*j). -9*j**3 Expand (-2 - 1 + 5)*(5*z - 5*z + z) + 23*z - z + 0*z + 5 + 2*z - 5. 26*z Expand -4*x**2 + x**2 + 0*x**2 + (-3*x - 4*x + 4*x)*(-4*x + 4*x - 2*x) - 2*x + 2*x + 3*x**2. 6*x**2 Expand ((-6 + 2 + 2)*(0 + 0 + j) + 3*j - 4*j - 2*j)*(-8*j + 28*j - 6*j). -70*j**2 Expand (2*i - 4 + 4)*(3*i**2 - 4*i**2 - 2*i**2 + (2 - 4 + 0)*(-3*i**2 + 2*i**2 + 0*i**2) + i**2 + i**2 + 3*i**2). 8*i**3 Expand (-3*j**2 + 2*j**2 - 2*j**2)*(3 - 3 - 1) + (-4*j + 3*j - 2*j)*(-3*j - 4*j + 4*j). 12*j**2 Expand (0*j**2 - 2*j**2 + j**2)*(2*j + 2*j - 2*j) + (-j**2 - 2*j + 2*j)*(-23*j + 48 - 48). 21*j**3 Expand (f - 4*f - 5*f)*(2*f**4 - 1 + 2*f**4 - 2*f**4). -16*f**5 + 8*f Expand (-2 + 2 - a)*(-2 + 7 - 3)*(-5*a**3 + 8*a**3 + 5*a**3). -16*a**4 Expand (-13 - 9*o + 13)*(2*o - 5*o + o) + (0*o + o + o)*(-2*o + 3 - 3) - 3*o + 3*o - 4*o**2. 10*o**2 Expand (3*i**2 - 3*i**2 - 4*i**3)*(3*i - 4*i + 0*i) + i**4 - 3*i**4 + 0*i**4. 2*i**4 Expand -2*n**2 - n**2 - 2*n**2 + (-2*n + n + 2*n)*(0*n + 4*n - 6*n). -7*n**2 Expand (0*a**2 - 4*a**2 + 3*a**2)*(-3*a**2 + a**2 + a**2) + (-6*a**2 + a**2 + 2*a**2)*(-a**2 - a + a). 4*a**4 Expand (-7 - 17 + 12)*(a + 2*a - a)*(-3*a + 3*a + 2*a). -48*a**2 Expand -6*z + 4*z - 11*z - 2*z + 0*z + 3*z - 3*z + z + 0*z + (2*z + 2 - 2)*(2 + 3 - 3). -10*z Expand (12*j + 29*j + 3*j)*(3 - 2 - 2)*(2 - 4*j - 2). 176*j**2 Expand (-31 + 11 + 12)*(-3*l - 3*l + 4*l) + (6 - 3 - 2)*(2*l + 0*l - 4*l). 14*l Expand 2*j**2 + j**2 - j**2 + (3 + 0 - 2)*(-j**2 + j**2 + 2*j**2) + 2*j**2 - 3*j**2 + 3*j**2 + 4*j**2 - 2*j**2 - 7*j**2. j**2 Expand -4*y**2 + 2*y**2 + 0*y**2 + (2 + 3*y**2 - 2)*(-4 + 2 + 3) - 3*y**2 + 3*y**2 - 6*y**2 + 0 + y**2 + 0 - y**2 + 3*y**2 - 3*y**2 - 2. -5*y**2 - 2 Expand (2*g - g + 5 - 4*g)*(-1 + 2 + 1). -6*g + 10 Expand (-3 + 3 - 4*o)*(0 + 4 - 3). -4*o Expand (5*z**2 - 5*z**2 - 3*z**3)*(-2*z + 2*z + z). -3*z**4 Expand (1 + 1 - 1)*(x**2 - 3*x**2 + 0*x**2) + 4*x**2 + 0*x**2 + x**2. 3*x**2 Expand (2 + 1 - 6)*(-3*k**3 + 2*k**3 + 3*k**3) - 7*k**3 - 10 + 10. -13*k**3 Expand (9 + 7 - 6)*(4*z - 3*z + 0*z)*(-6 + 3 - 3). -60*z Expand (-y**2 + 4*y**2 - y**2)*(-3*y - 4*y + 4*y) + 0*y**2 + 0*y**2 + y**3. -5*y**3 Expand 2*h**3 - h**2 + h**2 + (-10*h - 7 + 7)*(3*h**2 + 0*h**2 - 2*h**2). -8*h**3 Expand (78 + 85 - 317*p**2 + 315*p**2)*(-2*p**2 + p**2 + 3*p**2). -4*p**4 + 326*p**2 Expand (2*j**2 + 0*j + 0*j)*(1 + 1 - 1) - j + 290*j**2 - 294*j**2 - 1 + 2*j. -2*j**2 + j - 1 Expand (2*b**3 + b**3 + 2*b**3 + (3 + b - 3)*(-3 + 2*b**2 + 3))*(2 - 4 + 0). -14*b**3 Expand (0*g**4 - 2*g**4 + g**4)*(-2*g + g - g) + 3*g**5 + 2*g**3 - 3*g**3 - 15*g**3. 5*g**5 - 16*g**3 Expand -2*y**4 + 2*y**4 + 3*y**4 + (-5*y**2 + 3*y**2 + 0*y**2)*(6*y**2 + 0*y**2 - 4*y**2) - 13*y**3 + 8*y**4 + 13*y**3. 7*y**4 Expand -r - 2*r + 4*r + (1 - 7 + 2)*(r + 4*r - 4*r). -3*r Expand (-w**3 + 3*w**3 + 0*w**3)*(0 + 0 - 1)*(4*w + 2 - 2). -8*w**4 Expand (0*k - 4*k + 6*k)*(-3 - 1 + 5)*(-8*k + 15*k + 10*k). 34*k**2 Expand (-1 - 5 - 2)*(x - 1 + 1) + (5 - 6 + 2)*(-3*x + x + 0*x) - 3 + x + 3. -9*x Expand (6*h - h - 3*h)*(-6*h - 3*h + 2*h). -14*h**2 Expand 5*s**3 - 2*s**3 - 2*s**3 + (s + 0 + 0)*(-8*s**2 + 3*s**2 + 2*s**2) + 0*s**3 - s**3 + 5*s**3. 2*s**3 Expand o - o + o + (-4*o + 4*o + 2*o)*(-13 + 8 + 20). 31*o Expand 3*o + 7*o + 0*o + (o - o - o)*(-1 + 4 - 2) - o + 3*o + 0*o. 11*o Expand -2*n**2 - n**2 + 4*n**2 + (n - n - 6*n)*(0*n - n + 4*n) - 5*n**2 + 0*n**2 + 3*n**2. -19*n**2 Expand (3 - 5 + 1)*(-1 - 52*a - 49*a + 82*a). 19*a + 1 Expand -2*x**4 - 2*x**4 + x**4 + (0 + 1 - 2)*(-1 + 1 + 3*x**4). -6*x**4 Expand (0*k**2 + 0*k**2 - 2*k**2)*(-3*k**2 - 2*k**2 - 6*k**2)*(0*k + 2*k - k). 22*k**5 Expand 2*x**3 - 1 + 1 + (0*x - 3*x + 5*x)*(-x**2 + 0*x**2 + 2*x**2) + (-2*x**2 - 5*x + 5*x + 1)*(-3*x + x + x). 6*x**3 - x Expand (-2 + 5 - 1 + 5 - 3 - 1 + (-1 - 1 + 3)*(-1 - 1 + 4) - 5 + 2 + 5 + 6 - 1 - 4)*(2*a + 7*a - 2*a). 56*a Expand (3 - 2 + 3)*(-1 + 3 - 3)*(-i**2 + 2*i**2 + 0*i**2). -4*i**2 Expand -2*j**2 - 2*j**2 + 2*j**2 + (0*j**2 - 2*j**2 + 0*j**2)*(1 - 3 + 0) - 3*j + j**2 + j**2 - j**2. 3*j**2 - 3*j Expand ((3*h - h - 4*h)*(3*h + 2*h - h) + 3*h + h**2 - 3*h)*(1 + 3 - 3). -7*h**2 Expand (-z**3 + 219*z + 11*z**2 - 219*z)*(-2 + z - z + 2*z). -2*z**4 + 24*z**3 - 22*z**2 Expand (0*w + 0*w - w**2 + (5*w + w - 4*w)*(-3*w + 0*w + 5*w) - 64*w**2 + 36*w**2 + 36*w**2)*(-1 + 1 + w). 11*w**3 Expand ((y + 0*y - 3*y)*(4*y - y - 4*y) + y**2 + 4*y - 4*y - 5*y**2 + 4*y**2 + 0*y**2)*(2 - 2 + y**3 + (-3 + 2 + 3)*(2*y**3 + y**2 - y**2)). 10*y**5 Expand (-u + 2 + 3 - 7)*(3*u - 2 + 2) + (-1 + 0 + 3)*(-3*u**2 + 4*u**2 - 2*u**2). -5*u**2 - 6*u Expand -k**3 - 11*k**3 - 5*k**3 + (4*k - 5*k + 3*k)*(1 + 2*k**2 - 1). -13*k**3 Expand (-m + m - 2*m)*(-3*m**4 + 2*m**4 + 2*m**4) - m + m + m**5 + m**4 - 2*m**5 - m**4 - 11 + 17 + 5*m**5 - 9. 2*m**5 - 3 Expand (-3 - 2 + 4)*(2 - 2*z + 4*z + z). -3*z - 2 Expand (x + 2*x**2 + 0*x + 0*x**2)*(-4*x + 2*x + x + (3*x - x - 4*x)*(-1 + 0 + 3)). -10*x**3 - 5*x**2 Expand -2*j**3 + 6*j**3 - 3*j**3 + (11*j**2 - 5*j**2 - 5*j**2)*(5*j - 3*j + j). 4*j**3 Expand (-6 + 0 + 1)*(-2*g + g + 2*g)*(2 - 5 - 1). 20*g Expand (-3*h**2 - h**2 + 2*h**2)*(h**2 + 3*h**2 - h**2)*(-1 + 1 + 1)*(6 + 3 - 2). -42*h**4 Expand (0*f - 2*f + 0*f)*(0*f - f - f) + 3 - 3 - f**2 - 4*f - 20*f**2 + 4*f. -17*f**2 Expand -2*b**3 + b - 2*b + 5*b**3 + (b - 4*b + 4*b)*(1 - 1 - b**2). 2*b**3 - b Expand (-5*t + 6*t**2 + 2*t + 5*t)*(t**2 + 0*t + 0*t). 6*t**4 + 2*t**3 Expand (0*u + u - 3*u)*(19*u + 25*u**2 - 19*u). -50*u**3 Expand (4 - 5 + 2)*(-3 + w**3 + w**3 + w**3). 3*w**3 - 3 Expand (3 - 3 - 3*p**3)*(2*p**2 - 3*p**2 + 5*p**2). -12*p**5 Expand (-1 + 1 + k**2)*(-2*k - 2
{ "pile_set_name": "DM Mathematics" }
= 4*d, -d = 2*f + 2 for f. -1 Let o be 6/6*(2 - -1). Solve m + 4*m + 10 = -5*v, -10 = 5*v - o*m for v. -2 Suppose -45 = -11*l - 1. Solve 10 = -4*x - 2*a, 0 = 5*x - 2*a + l + 22 for x. -4 Let i = 11 + -6. Solve -4*q - 5 = -5*j, 3*j = i*j + 5*q - 35 for j. 5 Let p = -49 - -58. Solve 0*n - p = -2*z - 5*n, -2*n = 3*z + 3 for z. -3 Suppose -5 = -4*x + 3*k + 2*k, 0 = k + 5. Let h(j) = j**3 + 4*j**2 - 6*j - 3. Let d be h(x). Solve 0 = 5*p + d*v + 1 + 1, 0 = -2*v + 8 for p. -2 Let z be (-6)/(-2) - (-1)/1. Suppose z*x = 2*x + 6. Solve 2*v = 5*b - 2, 20 = -x*v + 8*v for b. 2 Suppose -2*i + 15 = 3*i. Suppose 3*n = 9 - i. Solve q - n*u + 2 = 0, -3*q - 2*u + 26 = 2*q for q. 4 Let o(y) = -y**3 - 11*y**2 + 15*y + 38. Let g be o(-12). Solve -g*t - 2*t + 4 = -5*b, 0 = 4*t + 5*b - 4 for t. 1 Let k = 23 - 16. Suppose o = 2*w - k, -5*o + 16 + 4 = w. Let y be -5*(-2)/4*2. Solve -4*v - 3 - 9 = 4*l, 0 = -5*l + y*v - w for l. -2 Suppose 5 = -s + 5*x - 2*x, -5*x = -2*s - 5. Let h be ((-4)/s)/(2/(-20)). Solve 0 = h*j + 4*z, 2*j + 0 - 9 = -5*z for j. -3 Let b be (-152)/(-12) + (-1)/(-3). Suppose b = -2*j + 6*j + 5*n, -n + 1 = 0. Solve 0 = 3*k - 8*k, 10 = -j*m - 3*k for m. -5 Let q(o) = 2*o**2 + 4*o + 2. Let v(f) = f. Let u(g) = q(g) - 4*v(g). Let d be u(3). Suppose 0 = -4*p - p + d. Solve x + 2*j + 6 = 0, p*x + 0*j + 4 = -4*j for x. 4 Suppose -12*i + 11*i + 2 = 0. Solve -5*z - i*a - 11 = -34, 3*z - 3*a = 18 for z. 5 Let d be (-4)/(-24) + 57/(-18). Let j be d/5 - (-299)/65. Solve 4*s = j*y - 5 - 7, -y + 8 = 4*s for s. 1 Let v be (-28)/3 + 4/(-6). Let s = 13 + v. Solve -10 = -5*f + f + o, s*f = -3*o + 15 for f. 3 Let v(x) = -6*x - 10. Let r be v(-11). Let l be r/6*15/10. Solve -b + 3*q - 1 = -l, b - 7 = q for b. 4 Suppose -29 = -4*o - x, 5 = 2*o + 3*x - 22. Solve -q - 2 = 5*b - o, 0 = -q - 2*b + 1 for q. -1 Let m = -6 + 9. Solve -4*w + 9*y = 4*y - 25, -m*w + 5*y + 25 = 0 for w. 0 Suppose 7 = 5*o + 2. Let d = o - -2. Solve -5*q - 5*i = 40 - 0, -d*i = 4*q + 28 for q. -4 Suppose -4*z + z - 2 = -r, 2*r - 5 = 5*z. Suppose r = 2*f - f. Solve 0 = -f*u + 5*s - 10, -2*u - 2*s = 8 for u. -3 Suppose 0*u - 30 = 2*u. Let z(s) = -s**3 - 14*s**2 + 14*s - 13. Let f be z(u). Solve f*h = -h + 15, -4*m - 4*h = -36 for m. 4 Suppose 33 = 5*o - 4*y, 5*y - 4*y + 17 = 3*o. Solve 2*c - 3*l = 11, 3*c + l - o*l = 16 for c. 4 Suppose 22 = 2*h + 4*n, 5*h - 40 = -2*n - 3*n. Suppose 3*t - 6*t = 0. Solve t = j + 4, -4*c - h = -j - 29 for c. 5 Let p(a) = -3*a**3 + 2*a**2 + 2*a + 1. Let b be p(-1). Suppose b*o = -o + 15. Suppose 31 = -13*x + 70. Solve 12 = 4*s - 0, -5*s = o*u - x for u. -4 Let p = -5 + 9. Solve -4*m = -3*g + g + 16, -g = m + p for g. 0 Let i = 36 + -23. Suppose -i - 2 = -5*t. Solve 5*m - n = 5, t - 1 = 2*m - n for m. 1 Suppose 3*c - 2*u + 2 = -c, -4*c - u + 13 = 0. Solve -2 = -2*x + c*o - 8, 2 = 2*x + 2*o for x. -1 Suppose -5*x + 2*x = -12. Let l(i) = -i**2 - 7*i + 11. Let n be l(-8). Let k be ((-16)/4)/(-4) - (-10)/10. Solve -x*o - 20 = d + k*d, n*o = d - 15 for d. 0 Let w be (-8)/((-32)/11) + 6/(-8). Solve -11 = 3*u + 2*p, -4*p - w = 3*u + 5 for u. -5 Suppose 2*c = -4*i + 52, 3*i + 2 + 76 = 5*c. Let d = c + -16. Let h be -1 - (2 + -6 + 0). Solve 2*a - 17 = -h*a + v, 13 = 3*a - d*v for a. 3 Let k = 6 - 0. Let w(x) = -2*x + 1 - k + 3. Let j be w(-3). Solve -d + 0*d - 4 = 0, j*d = 2*h - 22 for h. 3 Let y(h) = h**2 - 5*h + 8. Let a be y(3). Solve -4*x = 4*r - 3*x - 4, -a*x = -3*r + 14 for r. 2 Let z(s) = -s**3 + 9*s**2 + 2. Let d be z(9). Suppose -3 - 1 = -d*n. Let u = 10 + -6. Solve -5*b + 3*r - n - 2 = 0, 0 = -u*b + 4*r for b. -2 Suppose 3*z = m - 16, 0 = z - 5*m + 1 + 23. Let r = z - -6. Solve 2*x - 4 = -3*b, 4*b - 3*x - r = -8 for b. 0 Let k(n) = -4*n**2 + 3*n - 5 - 5*n**3 + 5*n - 5*n + 4*n**3. Let t be k(-5). Solve 6 = -4*s + 2*s - 4*o, 0 = -4*s - t*o - 12 for s. -3 Let z(n) = -n**2 - 3*n + 7. Let f be z(-4). Solve -2*x = 2*c + 4, -4*c - 5 = f*x + 1 for c. 0 Let f = 13 - 8. Suppose 12*h = 10*h + 2. Solve -4*s + h + 23 = -4*m, 0 = 4*m + f*s - 21 for m. -1 Let j(w) = -3*w - 6. Let m be j(-4). Let n = -2 + m. Suppose 2*c + 17 = -o + 4*o, 5*c = n*o - 25. Solve -3*t + 2*p + 5 = 0, 3*t + o*p + 10 = -13 for t. -1 Let p be 16/(-20)*(-70)/4. Suppose -3*t - p = -u, 4*t + 0 = -4. Solve s + 4*w - u = 0, 5*s - 3*w = -4*w - 21 for s. -5 Let v(u) be the second derivative of u**5/20 + u**4/3 + 2*u**3/3 + 3*u**2/2 + 2*u. Let n be v(-3). Solve n - 5 = 5*y - 5*o, 4*y + 14 = -o for y. -3 Let u be (-2 - (-7)/3)*15. Let a = -9 - -17. Solve -4*x - a = 3*h - 22, -u*x = h - 23 for x. 5 Let w(t) = t**2 + 10*t + 9. Let p be w(-9). Suppose a + 3*s - 4*s - 1 = p, 4*a + 4*s - 36 = 0. Solve 5*j - 15 = -a*l, 3*l - 4*j - 13 = -8*j for l. -1 Suppose 2*f - 3 - 5 = 0. Let j = 16 + 2. Let z be 1/(-3) + 48/9. Solve 2*t = -z*d, -2*t = -4*t + f*d - j for t. -5 Suppose -4*g - 13 = -21. Let m = 0 - 0. Solve -4*p = m, -20 = v + 4*v + g*p for v. -4 Let n(s) = 9*s**2 + s - 2. Let q be n(1). Solve 9*x = 4*x - 5*w - 20, 2*x - 3*w = -q for x. -4 Let b(l) = 3*l**2 + 5 - 1 + l**3 + 1 + 6*l**2. Let j be b(-9). Solve -5*g - s + 3*s + 35 = 0, g = -j*s - 20 for g. 5 Let m(w) = -w + 7. Let q be m(11). Let n = q - -9. Solve 3*k - 4 - n = 5*r, 3*k - 4*r = 9 for k. 3 Suppose 0 = u - 2*u. Suppose 5*b - 4*t - 37 = -0*b, t = -5*b + 22. Solve -x + 3*o + 2 = u, -4*x + b*o - 5 = -20 for x. 5 Suppose -y = 2*y - 6. Suppose 14 = -y*j - n, -2*j + 5*n + 1 = 3. Let z = 10 + j. Solve z*u = -4*o + 12, 0 = 3*u - 0*u - 4*o - 2 for u. 2 Let v be -16 - (-3)/((-6)/(-4)). Let t be (-4)/v - 6/21. Solve -y - y + 8 = 3*a, t = -3*y + 4*a - 22 for y. -2 Let k(b) = b + 2. Let m be k(2). Let a be -1 + 21/(m + -1). Solve 4*d - 16 = -2*v + a*v, 4*d = 2*v + 14 for v. -1 Let a(f) = f**2 + f + 2. Let u be a(0). Let l(q) = 7 - 2*q**u - 5*q + 0*q**2 - 2*q**2 + 3*q**2. Let x be l(-6). Solve 6 = -2*i - 2*w, x = -3*w + 4 for i. -4 Let v be -2 - (-10 - -2) - 3. Let b be (-1)/2*-2*v. Solve p - b = -4*g, -4*g + 4*p + 5 + 3 = 0 for g. 1 Let p = -14 + 7. Let w = -5 - p. Suppose -3*t + 6*t + 10 = w*s, s = -3*t + 5. Solve -5*v + g + 16 = -0*v, 0 = -2*v - s*g + 28 for v. 4 Suppose 0 = y + 4*w - 22, y = -4*y + 3*w - 5. Suppose 2*g = -y*g. Let o = 3 + -1. Solve 2 + 2 = o*x, 2*s - 5*x = g for s. 5 Suppose 2*z + 2*s - 14 = 0, 4*z = z - s + 13. Suppose -26 = -z*b - 4*w + 31, 2*b - 3*w - 38 = 0. Solve 0 = 2*u - 3*i + 4, -4*u - b = -u + 2*i for u. -5 Suppose r - 3*o - 19 + 8 = 0, 4*r = -3*o + 14. Solve -2 = 5*z + 4*l, r*z + l = -0 + 7 for z. 2 Let n(g) = -g**3 + 8*g**2 - g. Let r be n(8). Let d = -3 - r. Suppose k + 0*k + 11 = 4*y, -d*k + 55 = 2*y. Solve -3*f + 4*q = 3 + 8, -2*f + 3*q = k for f. 3 Let g(i) = -5*i**3 - 1 + 0*i**3 + 8*i**3. Let w be g(1). Solve -w*c - 5*b = 8, -c - 16 = 3*c - b for c. -4 Suppose 0 = 5*z + 4*o - 4, 2*z = -0*z - 2*o. Solve 5*t + 9 = z*j + 4*t, -2*j = 3*t + 13 for j. 1 Suppose -15 = -5*j - 0*j. Let k = 10 + -5. Solve -k*b + 8 = -4*m, 2*m - 4*b = -j*b + 2 for m. 3 Suppose 0 = -3*s - 6, -6 = -3*i + 3*s + 6. Suppose -52 = -5*l - 4*k, l = -2*l + i*k + 40. Suppose 0 = -3*g + 12. Solve 2*x + c = 0, -l = -g*x - 4*c + 5*c for x. 2 Suppose 4*u + 5*p = -4 + 2, -u + 5*p + 12 = 0. Suppose -j - 18 = u*j. Let x = j + 15. Solve -l = 2*h + x, -5*l - 9 = -l - h for l. -3 Suppose -c - 4*c = -5*m, 3*c = -m + 16. Solve 0 = m*w - 3*p + 19, -w - w + 3*p = 11 for w. -4 Let f = -2 - -4. Suppose -3*y = f*y - 20. Solve -4*w + 0*w - 3*k + 8 = 0, w + y*k = 15 for w. -1 Let c(s) = s + 26. Let i be c(-22). Solve 1 = 2*t + 3*d - 4, i*d - 10 = -2*t for t. -5 Suppose -2*u + h + 3*h + 30 = 0, -2*u + 2*h + 30 = 0. Suppose -k = 4*k + u. Let z be 0 + (1 - 66/k). Solve -7 = -2*x - 3*t - z, -3*x = -4*t + 7 for x. -5 Let a(l) = 4*l**2 + 7*l. Let i be a(-2). Solve -4*n = g - 5, 2*g - i - 8 = n for g. 5 Let y be (-24)/36 + (-50)/(-3). Solve 0*n - u - y = 3*n, u - 14 = 3*n for n. -5 Let u be 4/(-18) + 21/(-27). Let a be u/(-1 - (-15)/18). Let y be (18/12)/(a/20). Solve -2*p = y*i - 3*p + 4, 4 = p for i. 0 Let t(m) = m**2 - 4*m - 1. Let p be t(5). Suppose 0 = 8*f + 6 - 78. Solve 3*q + 12 = p*b - q, b = -5*q + f for b. 4 Let y be (-2)/(-6) - 10/(-6). Let x(s) = -s - 4. Let g be x(-8). Suppose 3*k - 24 = -2*v, -2*k = -y*v + g + 20. Solve -3*p + z + 20 = -3*z, 2*p - v = 2*z for p. 4 Let k(r) = -r**2 - 11*
{ "pile_set_name": "DM Mathematics" }
) = 3*l(h) + 7*z(h). Give m(1). 8 Let a(v) = -3*v + 5. Let f(y) = y - 11. Let j = -739 + 755. Let n be f(j). Give a(n). -10 Let y = -4 - -4. Suppose -3*t = -280 - 986. Let r(s) = t*s**2 - 3 + 8 - s**3 - s - 423*s**2. Determine r(y). 5 Suppose 5*f - 284 + 269 = 0. Let n(j) = -15*j + 8. Calculate n(f). -37 Let m(y) = -27363 - y - 23*y + 3*y**2 + 27374. Determine m(6). -25 Let p be ((-216)/40)/27*5. Let l(q) = -28*q - 7. What is l(p)? 21 Let n = 435 - 426. Let x(c) be the second derivative of c**5/20 - 2*c**4/3 - 2*c**3 + 11*c**2/2 + 45*c. Give x(n). -16 Suppose -2*s + 3103 = 5*f + 3145, -4*s - 24 = 0. Let l(p) = 2*p**3 + 11*p**2 - 4*p - 13. Give l(f). -25 Let i(y) = y**2 + 7*y. Let g be (-168)/10 + -3 + (-2)/10. Let t be g/6 - 12/18. Let q be t/(-18) + (-3)/(27/65). Give i(q). 0 Suppose 2*p = 3*p - 6. Let r(i) be the second derivative of i**4/12 - 7*i**3/6 + 3*i**2/2 - 10*i. Let x be r(p). Let j(l) = l + 1. Determine j(x). -2 Let k be -2 + 2 - 6*1/((-3)/(-2)). Let z(f) = -5*f + 9. Let y(d) = d - 1. Let q(v) = 4*y(v) + z(v). Determine q(k). 9 Suppose b - 3*w = 14, 3*w - 54 + 56 = -5*b. Let i(z) = -3*z + b*z - 1156 + 1141. Calculate i(-9). -6 Let c(o) be the first derivative of -4*o**3/3 + 2*o + 12. Let s be 5/(-10) - (-10)/4. Determine c(s). -14 Let y(r) = 114*r**2 + 66903 - 113*r**2 - 66897 + 5*r. Let o = 5 - 5. Let w be -1 + (o + 2 - 5). Calculate y(w). 2 Let x(d) = -2 + 3*d + 13*d + 1 - 17*d + 6*d. Let z(a) = -a**2 + 7. Let t be z(0). Determine x(t). 34 Let i = -230 + 233. Let m(u) = -u**i + 210*u**2 - 203*u**2 + 7 - 1. Give m(7). 6 Let h(y) = -y**2 - 23*y - 30. Let s = -21 + 3. Let j be h(s). Suppose 0 = 6*i + j - 0. Let a(r) = r + 6. Determine a(i). -4 Let n(u) = -9 - 8*u**2 - 30000*u + u**3 + 29999*u + 5. What is n(8)? -12 Let w be (-1)/(-4) + 11/4. Let a(f) = 10*f**2 - 4*f + 3. Let b be a(1). Let r(m) = -4*m + 22*m - 8*m - b*m + 2. Calculate r(w). 5 Let t(m) = -51*m**2 + 5*m + 5. Let k = -3177 - -3176. Give t(k). -51 Suppose 6*b + 2*b = -5*b. Let n(q) = q**2 + 2*q + 15. Give n(b). 15 Let z(c) = 41*c**3 - 6*c**2 + 11*c - 20. Let w(h) = -8*h**3 - 2*h**2 + h + 1. Let f(n) = 5*w(n) + z(n). Calculate f(15). 0 Let v(h) = 54*h + 1. Let q = -16553 + 16556. Determine v(q). 163 Let i(s) = -s**2 - 13*s + 20. Let g(q) = -q**2 - 8*q + 18. Let p(y) = 4*g(y) - 3*i(y). Give p(12). -48 Let x be -1*((-346)/(-14) - 6/(-21)). Let u = -43 - x. Let l = 23 + u. Let r(g) = -g**2 + 7*g - 3. Give r(l). 7 Let p(w) = -8*w + 6 - 20*w + 27*w. Let v = -33 - -14. Let f = v - -27. Determine p(f). -2 Let u = 4309 + -4304. Let d(b) = 2*b**2 - 14*b + 12. What is d(u)? -8 Suppose -a + 5*k - 18 = 1, 3*k = -a + 21. Let v(m) be the third derivative of 0*m + 1/120*m**6 + 10*m**2 + 1/3*m**4 - 5/6*m**3 - 1 - 7/60*m**5. Determine v(a). 7 Let f(l) be the first derivative of 4*l**2 - 1/3*l**3 + 313 - 8*l. Let x(u) = u**2 + u. Let b be x(2). What is f(b)? 4 Let k = -19325 - -19323. Let r(j) = 7*j**3 + 4*j**2 + 5*j + 3. Determine r(k). -47 Suppose 2*u - 12 - 16 = 0. Let f be ((-21)/u + 1)*(23 + 1). Let j(r) = r**2 + 13*r + 16. Calculate j(f). 4 Let b(p) be the second derivative of 9*p**3/2 - 372*p - 2. Calculate b(-1). -27 Suppose 7755 = 14*t + 7741. Let m(b) be the third derivative of -3*b**2 + 0 + 1/4*b**4 + 0*b**3 + 0*b. What is m(t)? 6 Let c(n) = 2*n - 8. Suppose -4*u + 200 = -5*g + g, -u = -4. Let m = 44 + g. Let z be (1/m)/((-1)/12). Give c(z). 4 Let j(x) = -45*x - 26. Let h be j(-1). Suppose -16*a + h*a + 12 = 0. Let g(m) = -m + 1. Give g(a). 5 Let v = -1989 - -1983. Let g(i) = -i**3 - 2*i**2 + 4*i - 25. Give g(v). 95 Suppose 4*z = 24, -2*f - 4*z - 384 + 426 = 0. Let j(m) = 48*m - 430. What is j(f)? 2 Let o(c) = c**3 + 8*c**2 + 3*c + 8. Let l be o(-8). Let u = l + 18. Suppose d + 4*p = 2*p + 13, -u*d = -4*p + 14. Let g(f) = f**2 - f - 2. Calculate g(d). 4 Let m(d) = 7*d - 15. Let v(n) = -7*n + 15. Let k(i) = -6*m(i) - 7*v(i). What is k(9)? 48 Let c(o) = -10 - 25*o + 1 + 14*o + 12*o. Calculate c(-2). -11 Let a(c) = 12 + 12 + 14 - 28 - 3*c - 3*c. Let x(s) = -12*s + 25. Let b(k) = -5*a(k) + 2*x(k). Give b(3). 18 Suppose -122*k = -109*k - 312. Let m be ((-644)/k)/7 + (-3)/18. Let r(x) = x**3 + 4*x**2 + 5 - x + 8*x + x**2. Calculate r(m). -7 Let q = 72 + -76. Let m = -30 + q. Let o = m - -31. Let a(c) = -c**2 - 2*c + 3. Give a(o). 0 Let s(c) = -3*c**2 + 5*c - 1. Let k be (1/2)/(4/(160/(-4))). Let j(a) = -4*a**2 + 5*a. Let g(v) = k*s(v) + 4*j(v). Calculate g(-5). 5 Let m be (5 - 10) + 4/2. Let q(o) = 14*o + 9. Let r be q(m). Let g = r - -41. Let s(d) = d**3 - 7*d**2 - 10*d + 9. Calculate s(g). -7 Suppose -95*k - 498 = -344*k. Let h(a) = a**3 - 3*a**2 + 8*a - 7. Determine h(k). 5 Suppose 52*j - 57*j = -60. Let y(d) = -2*d**2 + 25*d - 5. What is y(j)? 7 Let v(y) be the second derivative of -2*y - 5/2*y**2 + 1/20*y**5 - 7/6*y**3 + 1/4*y**4 + 26. Determine v(-4). 7 Let k(u) = -7*u**2 - 3*u - 4. Let w be (1/2)/((198/12)/(-33)). Give k(w). -8 Suppose 0 = 2*b + 2, b = -3*q - 6 + 11. Suppose -8*n = q*n - 60. Suppose n*l + 19 = -5. Let j(h) = h**2 + 4*h - 2. Calculate j(l). -2 Suppose 0*u + 3*u + 416 = 5*n, -4*u - 3*n - 603 = 0. Let h = 148 + u. Let d(q) = 5*q**2 - q. Calculate d(h). 4 Let w(g) = 5*g**2 - 28*g - 7. Suppose 1128 = 151*c - c + 38*c. Calculate w(c). 5 Suppose -6*o = 4*o - 20. Suppose 4 - o = -d + f, 5*d + 38 = -2*f. Let n be d/(-2*(-1)/3) + -2. Let s(i) = i**2 + 10*i - 13. Give s(n). -2 Let j(l) be the third derivative of -9*l**6/40 + l**4/24 - l**3/6 - 1028*l**2. Give j(1). -27 Let i(k) be the third derivative of -k**4/8 - 37*k**3/3 - 1292*k**2. Calculate i(-25). 1 Let s(a) = 244*a - 283. Let k be s(1). Let n(b) = b**3 + 41*b**2 + 78*b + 10. Give n(k). 10 Let f(w) = -53*w - 5077. Let y be f(-96). Let u(j) = j**2 - 9*j + 5. What is u(y)? 27 Let q(b) = b**3 + 18*b**2 - 21*b + 2. Suppose 51*n + 294 + 675 = 0. Determine q(n). 40 Let u(w) = -w - 1. Let n(x) = 24*x + 24*x - 3 - 53*x. Let k be n(-1). Let t be (-12)/k - 1/(3/(-9)). What is u(t)? 2 Suppose -15 = 9*i - 87. Suppose -r + 3*r = i. Let u(h) = -h**2 - h + 1. Let c(t) = t**3 + 2*t**2 + 5*t - 3. Let d(w) = c(w) + 6*u(w). Determine d(r). -1 Let z(s) = -3*s + 6. Let d(o) = -4*o - 10. Let m be ((-6)/9*-3)/((-2)/4). Let w be d(m). Let q(y) = 4*y - 7. Let a(r) = w*z(r) + 5*q(r). Give a(-3). -5 Suppose 0*j + 108 = 6*j. Suppose 4*k = 10 - j. Let l(t) = 3*t**3 - t**2 + 4. Let p(n) = -13*n**3 + 4*n**2 - n - 17. Let d(w) = k*p(w) - 9*l(w). Determine d(2). -2 Suppose 64 = 11*v + 5*v. Let h(d) = 4*d - 2 + 5 + 0 - d**2. Give h(v). 3 Let q(m) be the third derivative of -m**6/120 + 2*m**5/15 - m**4/3 - 2*m**3 - 276*m**2 + 1. Give q(6). 12 Let z(n) = 3*n**3 - n**2 - n + 5. Let u(q) = -2*q**3 + q**2 + q - 9. Let w(c) = u(c) + z(c). Let j = -41 - -41. Determine w(j). -4 Let h(q) = q + 4. Let b(s) = -s**2 - 6. Let v = -338 - -341. Let x(m) = v*h(m) + 2*b(m). Let k(l) = -l**2 + l + 2. Let w be k(0). What is x(w)? -2 Let r(c) = -11*c - 5 - 16 + 6*c**2 + 3 + c**3 + 6*c**2. Let d be r(-9). Let y(m) = 322*m**2 - d*m**2 + 3*m**3 - 3*m + 2*m. What is y(-1)? -4 Let v(b) be the second derivative of 165*b + 0*b**3 - 1/3*b**4 - 1/20*b**5 + 0 + 1/2*b**2. Determine v(-5). 26 Let g(v) be the first derivative of v**3/3 - 27*v**2/2 - 125*v + 2357. Determine g(31). -1 Let x(w) = -4*w**2 + 7*w + 1. Let l(t) be the second derivative of 7/12*t**4 + 0 - 11*t - 1/2*t**2 - 13/6*t**3. Let v(u) = 3*l(u) + 5*x(u). What is v(5)? 7 Let x(t) be the second derivative of -t**5/20 - 5*t**4/12 - t**3 - t**2/2 + 4*t. Suppose 164*i - 159*i + 30 = 0, -g + 2 = -i. Determine x(g). 7 Let x be (-40)/(-19) - 14/133. Suppose -3*h + x = -3*m + 11, -2*m = -h - 7. Let y(a) be the second derivative of -a**4/12 + 2*a**3/3 + a**2/2 + a. Give y(m). 1 Let j(l) = 3484 - 6823 - 5*l + 3373 + 2*l. Determine j(-14). 76 Let m(u) = -12*u - 2. Let a = -352 - -75. Let x = -276 - a. Determine m(x). -14 Let a(j) = 32*j + 1264. Let v be a(-39). Let r(i) = i**3 - 15*i**2 - 14*i + 3. Determine r(v). 35 Let q(u) = -12*u**3 + 2 + 11*u**3 + 28*u**2 - 11*u - 20*u**2 - 1. Let g be 1 - 1 - (-29 - -23). What is q(g)? 7 Let f(n) = n**3 - 7*n**2 - 32*n + 16. Suppose 1036 = -112*m - 167*m + 3826. Calculate f(m). -4 Let r(x) = 3*x**2 + 5*x + 18. Let a(b) = -2*b**2 - 5*b - 17. Let q(t) = -4*a(t) - 3*r(t). Give q(8). -
{ "pile_set_name": "DM Mathematics" }
s 1028114677 composite? True Is 1745520391 prime? False Is 6989010727 prime? True Is 136181431 a prime number? False Is 3374396297 a composite number? True Is 3277038211 composite? False Is 387696353 a prime number? False Is 21242500991 prime? True Is 5700641159 a composite number? True Is 17866760411 prime? False Is 70971442667 prime? True Is 621405563 prime? True Is 2174669981 a prime number? False Is 2243054023 prime? False Is 25390950539 a composite number? False Is 7293052433 a composite number? True Is 1564329971 composite? False Is 3183619411 a composite number? True Is 1198950737 a prime number? False Is 190437601 a composite number? False Is 4446129991 a composite number? True Is 4483601039 prime? False Is 5388888611 a composite number? False Is 524670163 prime? False Is 1936192357 composite? True Is 1396864717 composite? False Is 1333270999 a prime number? True Is 95221883 composite? True Is 1439428153 a prime number? False Is 586122949 composite? 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False Is 6933415789 a prime number? True Is 3493510253 a composite number? False Is 81439725671 a prime number? True Is 2357049103 a prime number? True Is 35719730539 a prime number? True Is 381095537 a prime number? True Is 1173873527 prime? True Is 57418182589 a composite number? False Is 13953123161 prime? True Is 42372796789 prime? False Is 10431051713 a prime number? False Is 72097879 prime? False Is 782264177 a composite number? True Is 6694921171 a prime number? True Is 16595655113 prime? False Is 5546060627 prime? True Is 20668155827 composite? True Is 912791663 composite? True Is 4808878699 prime? False Is 426442754 prime? False Is 5641591871 a prime number? True Is 3867631693 prime? True Is 1552890533 a prime number? False Is 11557631 prime? False Is 43789488965 a composite number? True Is 517736381 a composite number? False Is 103182728807 a composite number? False Is 135851717 a prime number? False Is 117506747 a prime number? False Is 194299961 prime? False Is 1283919137 a prime number? True Is 465056633 a composite number? False Is 7017751607 a composite number? False Is 840288731 prime? True Is 5234125861 a prime number? True Is 14085759689 prime? True Is 9771275617 a composite number? True Is 25189106263 a composite number? False Is 1518087931 composite? False Is 28232449877 a prime number? True Is 5040705289 a composite number? False Is 33968303 a prime number? False Is 971954014 a prime number? False Is 316563173 a prime number? False Is 136228934327 a prime number? False Is 520606417 a composite number? False Is 971999299 composite? True Is 734393053 a prime number? True Is 19045329977 a composite number? True Is 135943130981 a composite number? True Is 5963756957 a prime number? True Is 1956489317 a composite number? False Is 2274017287 composite? False Is 3582517097 composite? False Is 70300370141 a composite number? False Is 1225767434 a prime number? False Is 1332499309 composite? True Is 177268001 composite? False Is 4108793683 prime? True Is 27727029791 composite? False Is 221383997047 a composite number? False Is 2274966131 a composite number? False Is 13830779633 prime? False Is 185060121 a composite number? True Is 998041306 a prime number? False Is 69620745599 a composite number? False Is 2800404757 a composite number? True Is 2725265113 a composite number? True Is 2193670819 a composite number? False Is 4110291851 a prime number? True Is 76204093001 prime? True Is 148534233307 composite? False Is 518810977 a prime number? False Is 819142063 prime? True Is 106401346901 composite? True Is 15281544497 composite? False Is 1580547797 prime? True Is 1235049613 prime? False Is 1400710187 prime? False Is 333981343 a prime number? True Is 119782577 prime? False Is 20966513081 a prime number? False Is 1831341917 prime? False Is 8046508453 prime? False Is 7427660803 prime? False Is 194358850891 a composite number? False Is 1152160763 composite? True Is 31711829979 a prime number? False Is 13967724629 a composite number? True Is 3277140281 a prime number? True Is 43774251205 prime? False Is 1510258951 composite? False Is 100271910853 composite? True Is 6226197809 a composite number? True Is 3613837681 composite? True Is 26173820983 a composite number? True Is 3727263767 prime? True Is 20399395253 a prime number? True
{ "pile_set_name": "DM Mathematics" }
t k = p + -117. Is c at most k? True Let n = 956/17 - 1963/34. Let r be (-2)/7 - (-104)/(-126). Let v = r + 41/45. Are n and v nonequal? True Let w = -31155 + 16157. Let s = 4694378/313 + w. Is s equal to 1? False Let s = 6.1 - 6. Let c = 1537.23 - 1544. Let d = -1.33 + c. Is s smaller than d? False Let m = -18/7703 - 429406/839627. Which is greater: -1 or m? m Suppose 2999 - 3102 = -103*r. Do r and 236/109 have different values? True Let g = -20458 + 20458. Which is greater: -66/623 or g? g Let g be (-1*255/25 - 2)/((-13)/(-65)). Suppose 4*p = -4*m - 260, 251 = -0*p - 4*p - m. Which is greater: p or g? g Let a = 98/55 + -2/11. Let u(c) = -c**3 + 7*c**2 - 7*c + 7. Let r be u(6). Suppose -5 = -2*d + r. Which is greater: d or a? d Suppose 7*p - 9*p + 17 = m, 3*p = 2*m + 29. Is -24/3523 greater than m? True Let h(i) = -i**3 + 4*i**2 + 5*i - 1. Let o be h(5). Let t(l) = -6*l - 138. Let w be t(-33). Let m be w/(-48)*(-8)/(-19). Is m at least as big as o? True Let u = -3342 + 83562/25. Suppose -344 = -8*b - 88. Let c = 32 - b. Is c equal to u? False Let x = 122 + -54. Let p be (x/6)/((-7)/3). Are p and -6 equal? False Let g(p) = 35*p**2 - 35*p - 703. Let v be g(-14). Do 6647 and v have the same value? True Suppose -4*p - 20 = 0, -5*d + p + 4*p = 1095. Suppose -67*v - 10557 = 4518. Which is greater: d or v? d Let z = 2060 - 2213. Is -2 > z? True Let s = 232/15 + -114/5. Let a(h) = -h**3 - 4*h**2 + 12*h - 8. Let q be a(-6). Which is smaller: s or q? q Let c = -26.17 - -26. Let h = c + 0.37. Let q(r) = -6*r**3 - 25. Let w be q(0). Which is smaller: w or h? w Let v be (-15974)/35860 + ((-23)/(-22) - 1). Is v bigger than -28/201? False Let g = -142 - -390. Let l = 123 - g. Let r = -123.3 - l. Is -1/3 at most r? True Let p = -70 + 80. Let t be ((-10)/4)/(-5)*p. Suppose -t = c + 3. Are c and -2 unequal? True Let j be 4455/18*(-4)/(-5). Let p be 11/(j/(-12)) + 5/12. Let g = -0.9 - -0.9. Is g greater than p? True Let i be (-4 - 92/(-24))/((-3)/(-4)). Let u = i + -1/36. Which is bigger: -0.63 or u? u Let h = 5961/26 - 61110/13. Which is smaller: -4471 or h? h Let g(f) = f**3 + 91*f**2 - 484*f - 383. Let j be g(-96). Let a be (15/(-4))/(2/8). Which is bigger: j or a? j Let s = 57255 - 169074011/2953. Which is smaller: 1 or s? s Let z(i) = 4*i - 30. Let x be z(1). Let f = -35 - -67. Suppose 5*w + 155 = -5*y, y + 4*w = 3*y + f. Is x less than or equal to y? True Let b be (0 - (-25794)/(-4)) + (-9)/6. Let h be -1*3/(-6) - (-3351)/b. Let x = h - -6/43. Which is smaller: x or -1? -1 Let m(z) = -z**3 - 6*z**2 + 11*z - 1. Suppose -2*v + v = 7. Let b be m(v). Is b bigger than -32? True Let r = 37.71 + -38. Let d = -551 + 546.71. Let z = r - d. Which is smaller: z or -0.3? -0.3 Let j be 14/42*(5 - 14). Which is smaller: 1/512 or j? j Let q = 124179 - 92016625/741. Which is greater: q or -1? q Let s(u) = 3*u**2 - 22*u + 23. Let j be s(1). Suppose 0 = 4*z - 3*k - 12, 0*k - j = -5*z + k. Which is smaller: -77 or z? -77 Suppose c - 18 = -3*w, 2*c + 130 = 124. Is w <= -13? False Let c be (-72406)/(-6) - (-16 + 1175/75). Which is smaller: 12067 or c? 12067 Let j be (0 + -2 - -1) + (5 - 10). Let q(i) be the first derivative of i**3/3 + 4*i**2 + 12*i + 11. Let v be q(j). Which is smaller: 3/10 or v? v Let h be (-26)/(-12) - (1 - -5)/36. Suppose 0 = 4*m + 4, 5*v - h = 2*m + 5. Which is bigger: 95 or v? 95 Let i = -5133 + 5127. Which is greater: -517 or i? i Suppose 2*k + 5*g - 408 = g, 0 = k + 4*g - 202. Let a = k - 205. Is -2 at most as big as a? True Suppose -5*i = 3*i + 12*i. Which is bigger: i or -91/102? i Let m = -2/5 + 1/15. Suppose 31*j - 18*j - 52 = 0. Let h be 2*(18/j + -5). Which is smaller: m or h? h Let t be ((-116)/924 - (-8)/84)/34. Let a = -9007/34782 - t. Which is smaller: a or 0? a Let u = -2494/477 - -47/9. Which is bigger: u or 1? 1 Let b be 2/(-4)*7/(7/(-20)). Suppose -b*o = -9 - 1. Let k be (-28)/30 + 1/1. Which is bigger: k or o? o Suppose -2*b = -2*j - 14 - 2, 5*b - 20 = -5*j. Let n be -5 + (b - 6) + 14. Which is bigger: n or 26/3? n Suppose h = p - 24, -4*p + 6*p + 2*h = 40. Let c(k) = 2*k**3 - 43*k**2 - 23*k + 16. Let u be c(p). Which is smaller: -17 or u? -17 Let q(n) = -n**3 - 98*n**2 - 192*n. Let c be q(-96). Which is greater: -106/211 or c? c Let n be (-2)/8*230/(-15). Which is smaller: -0.4 or n? -0.4 Let b be 3 + -1 + -3 + (-1033)/192. Let k = b + 3/64. Is -5 >= k? True Let h be 57041434/(-53070) + 2/(-15). Let x = h - -1075. Is 1 at least x? True Suppose -i = 5*i + 210. Let d = i + 42. Let c be (-108)/16 + d - 17/36. Which is smaller: c or 0.3? c Suppose -5*w - 5*v = 0, 0 = -4*w + 4*v + 27 + 5. Suppose -u = w*l + 139, -2*u = -2*l + 286 - 38. Which is smaller: -128 or u? -128 Suppose j + 5*p = 692, -14*j - 2*p = -9*j - 3368. Suppose -299*f = -292*f - j. Which is greater: 97 or f? 97 Let v = 114 - 61. Let h = 64 - v. Let u be (18/132)/(h/(-6) - -2). Which is bigger: u or 0.2? u Suppose 2*k = -2*g - 16, -30*g + 35*g - 2*k = 9. Let c be (-10)/15 - 67/3. Let r be (-8)/(-24) - c/(-78). Which is greater: g or r? r Let t be (-20)/(-730)*(-2)/(-6). Let h be (-1)/((-4)/(-164))*(-3 + 1). Let z = h - 81. Is z at least as big as t? True Let c be (-2)/(-4)*0/(-2). Let s(x) = -x**2 + 291*x + 2418. Let n be s(-8). Which is smaller: n or c? c Let b(s) = -2*s - 9. Let d be b(-13). Let i be d/204 + 4030/24. Are 167 and i unequal? True Let r = -0.24888 - -1725.24888. Which is bigger: r or -3? r Suppose 5*c + 4558 + 11252 = 0. Which is smaller: c or -3163? -3163 Let j(z) = -z**3 - 49*z**2 - 190*z - 451. Let l be j(-45). Let a be ((-3)/19)/(-3)*-23. Which is greater: a or l? l Suppose 2*a = a + 4*s - 8, -3*s = -3*a + 21. Let p be (a/36)/((1 - 3)/6). Is 4/45 less than p? False Let o be 21/(-196)*8*-7*(-1)/2. Is o greater than or equal to -97/53? False Let g be (141752/(-7480))/29 - 6/(-10). Is -1 greater than or equal to g? False Let v = 25827/5 - 5166. Which is bigger: v or -12.5? v Let o = -4163/7 - -596. Suppose 5*i = -5*w - 10, -6*i - 3*w - 6 = -7*i. Which is greater: o or i? o Let h(d) = -101*d**3 - 19*d**2 - 15*d + 3. Let m be h(-1). Which is greater: 102 or m? 102 Let g = 0.085 - 0.385. Which is smaller: -2.1 or g? -2.1 Suppose 6*l + 4*q - 14746 = 0, -16*l + 13*l + 5*q + 7387 = 0. Which is bigger: l or 2458? l Let q be (2376/522)/((-427)/(-6)). Let x = q + -3/203. Is x >= 0? True Let u be ((-2)/(-14))/((-2)/678). Suppose -42*i + 35*i = 343. Let s = i - u. Which is smaller: s or 0? s Let t = -283.606 + 283.7. Which is greater: 9 or t? 9 Let i = -258283/43530 + 1/8706. Is -7 <= i? True Let x = 29171/7 + -4167. Does x = 49.96? False Let u be 8/(48/(-10))*(-51)/85. Is -2/1181 less than or equal to u? True Let m = 11.898 + -4.9. Let f = m + -7. Is f less than -6? False Let j = -58354/67149 + 4/829. Is 0 <= j? False Let u = -0.8 - -1. Let l = 36.52 + 27.5. Let b = -64.2 + l. Are b and u non-equal? True Let y = -592.9 + 558. Let n = 45.9 + y. Which is bigger: n or 2? n Suppose -304*a + 300*a + 1500 = 0. Let z = a + -745/2. Does z = 30? False Let l be 200/160 - 622/(-20). Let i = l + -103/4. Let f = -0.2 - -0.3. Which is smaller: i or f? f Let z(j) be the first derivative of j**2 + 4*j + 1. Let p be z(-9). Let i be 200/(-16) - (-3)/6. Which is greater: i or p? i Let b = -471 - -4234/9. Let x = 195 - 194. Suppose 0 = -23*j + x - 47. Is j != b? True Let h(i) = -6*i**3 + 14*i**2 + 3*i - 25. Let v be h(6). Is v greater than -800? True Suppose -25*x + 723 = -28*x. Let v = -224 - x. Is v at most as big as 17? True Let l be (2 - 4)*201/6. Suppose 0*j - 16 = 4*j, 0 = 3*z - 5*j - 83. Let h be ((-18)/z)/(-3) - (-471)/(-7). Is l <= h? True Let z(q) = q**2 - 30*q + 142. Let d be z(6). Which is bigger: d or -11/18? -11/18 Let o(y) be the third derivative of y**5/60 - 23*y**4/24 + y**3/2 + 16*y**2 + 1. Let u be o(20). Suppose -4*m - 229 = -1. Is m greater than or equal to u? True Let f(b) = -4*b**2 + 26*b - 38. Let p be f(4). Do p and -1008 have different values? True Let v be 4569*(-6)/(-18)*9. Is v != 13706? True Suppose -250*t = 16*t + 193882 + 1251030. Which is smaller: t or 0? t Let y = 46 - 31. Let c = 32 - y. Let b = c + 21. Which is bigger: b or 1? b Let t(w) = 6*w + 346. Let p be t(-50). Which is smaller: 514/11 or p? p Let g = -59.8 - -67.51. Let k = -5.71 + g. Let u
{ "pile_set_name": "DM Mathematics" }
-6) - 2/(-4). Let m be (-6)/(-24) + (-49)/a*-22. What is the greatest common factor of m and 54? 27 Let f(u) = -u - 23. Let i be f(-20). Let p be (-1)/(124/(-40) - i). What is the greatest common divisor of 50 and p? 10 Suppose 118*u = 80*u + 34200. What is the greatest common divisor of 120 and u? 60 Let k be -5 - (4 - -15) - -6. Let h be (-93)/k - 5 - 195/(-18). Suppose 17 - 94 = -c. Calculate the highest common divisor of c and h. 11 Let o = 514 + -492. Let c = o + 243. Suppose 4*k - 106 = 3*k. What is the greatest common divisor of k and c? 53 Suppose -5*g + c = -7, 2231*g - 5*c + 40 = 2231*g. Let k(l) = l**3 - l**2 + 2*l - 3. Let p be k(3). Calculate the highest common divisor of g and p. 3 Let k(h) = 3857*h**2 - 42*h + 5. Let c be k(-2). What is the highest common factor of 1052 and c? 263 Suppose -4*y = -3*f - 5, -4*y + f + 18 = 3. Suppose -23 = h - 2*h - y*z, 3*h + z = 27. What is the highest common divisor of h and 10? 2 Let u = 25 - 23. Suppose -u*i = -7*i + 75. Suppose 0 = -5*a - 2*s + 965, 2*a - 370 = 164*s - 168*s. What is the greatest common factor of a and i? 15 Suppose u + b = 14, 25 = -u - 2*b + 43. What is the greatest common divisor of 30980 and u? 10 Suppose -7*b + 16 = -15*b. Let s be (63/(-27))/(b/6). Let d = 52 - s. What is the greatest common divisor of d and 15? 15 Let r = -664 + 1467. What is the greatest common divisor of r and 121? 11 Let j = -304 - -455. Let y = 154 - j. What is the greatest common factor of y and 6? 3 Let c be (-4)/(-6) + (-176)/(-33). Let m be ((-3)/c)/((-4)/24). Suppose n + 137 = 2*b + 3*b, -b = -5*n - 37. What is the greatest common factor of b and m? 3 Let h = 4008 + -4005. Calculate the greatest common divisor of 1029 and h. 3 Suppose -2*k + k = v - 66, 2*k = -v + 68. Suppose -5 - 3 = -4*i. Suppose -z = -i*g - 12, z + z + 3*g = 38. Calculate the greatest common divisor of z and v. 16 Let h(d) = 6*d**3 + 7*d**2 - 8*d - 5. Let f be h(4). Let p be (4 - (-26)/(-3) - -5)*153. What is the highest common factor of f and p? 51 Let c(z) = 188*z + 12110. Let a be c(-64). Calculate the greatest common factor of 20514 and a. 78 Let l be 3/(-168)*-8 - (-2)/(-14). Let j(r) = -r**2 - 15*r + 976. Let k be j(l). Calculate the highest common factor of 61 and k. 61 Let q = -2 + -6. Let v be q/10*90/(-4). Let b(d) = 5*d**2 - 241623*d + 1208116. Let a be b(5). Calculate the highest common factor of a and v. 18 Suppose -5*p - 13 + 68 = 0. Let s be (65 + 0)/5*p. Suppose -5*b - 24 = -89. What is the greatest common divisor of s and b? 13 Let r = -28 - -37. Let u be -4 + 2 + (-845)/(-13). What is the highest common factor of u and r? 9 Let b(w) = 71*w**2 - 15*w + 486. Let y be b(14). What is the highest common factor of y and 16? 16 Let v = 49 - -221. Let z(q) = 15*q**2 + 62*q + 18. Let c be z(-4). Calculate the highest common divisor of c and v. 10 Let g = 778 - 602. Suppose -399 = -g*p + 173*p. Calculate the greatest common factor of 7 and p. 7 Suppose -5*s = -4*b - 262, -218*b = s - 222*b - 46. What is the highest common divisor of 64314 and s? 54 Let a(r) = -3*r**2 + 7*r + 13. Let d be a(-6). Let n = -101 - d. What is the highest common divisor of 48 and n? 12 Suppose -46 + 5 = -42*u + 127. What is the greatest common divisor of 4288 and u? 4 Let t(r) = 21*r**2 - 11*r + 109. Let z be t(5). Calculate the greatest common factor of z and 15. 3 Let i = -560 + 608. Suppose -i*d + 15582 = -2082. Calculate the greatest common divisor of 16 and d. 16 Suppose 196*z - 197*z = -q + 417, 0 = 4*q - z - 1677. Calculate the greatest common divisor of q and 252. 84 Suppose -93 + 89 = -2*a. Suppose 0 = 3*j - a - 16. Calculate the greatest common divisor of 9 and j. 3 Let g be (-6342)/(-16) + (-147)/392. Suppose -g = -30*j - 6. Calculate the highest common divisor of 143 and j. 13 Let u = -32 + 63. Suppose 0 = -32*w - 3922 - 6382. Let d = w + 353. What is the greatest common factor of d and u? 31 Suppose -a = -4*o + 4422, -154*o + 158*o - 2*a - 4420 = 0. Calculate the greatest common factor of 238 and o. 14 Let h be (-131860)/(-80) - (-4)/(-16). Calculate the highest common factor of 2678 and h. 206 Let k(i) = i**3 - 2*i**2 - 5*i + 22. Let r be k(5). Let n be 58 - ((-200)/r - (-2)/(-9)). Calculate the greatest common factor of 305 and n. 61 Let v(b) = -b + 1. Let u(s) = 9*s + 22. Let w(t) = 2*u(t) - 4*v(t). Let k be w(8). Calculate the greatest common divisor of 18 and k. 18 Suppose 5*v - 5 = -3*b, 20 - 2 = 4*b + v. Let a = 317 + -277. Calculate the highest common divisor of a and b. 5 Suppose 5*b + 3*k + 20 = 8*k, 0 = 4*b + 4*k - 16. Suppose 6*o - 4 = 4*o. Let y be (b + 4)/o*4. Calculate the highest common divisor of 20 and y. 4 Suppose -2*u - 3*u = 50. Let c be -4 + 6 + 0/(-3 - -4). Let k be -1 - c*(u + 3). Calculate the greatest common factor of 39 and k. 13 Suppose 24*a - 310533 = -39405. Calculate the highest common factor of a and 143. 143 Let p = -2684 + 2838. Calculate the greatest common divisor of p and 42. 14 Suppose -19 = 13*s - 97. Suppose s*k + 10*k = 160. Suppose y + y = 360. What is the greatest common factor of k and y? 10 Suppose 24 = 58*x - 57*x. Let v be (x/16 + -1)/((-1)/(-36)). Calculate the greatest common factor of v and 306. 18 Let v = 170 - 502. Let p = -123 - v. What is the highest common factor of 57 and p? 19 Suppose 503 + 1287 = 25*z + 190. What is the highest common divisor of 524 and z? 4 Let w be 21/(-7) + -2 + 11. Suppose -w*t + 33 = 5*t. Let d be 1/(-2) + (-100)/(-8). What is the highest common divisor of t and d? 3 Let g be (-18 - 10)*4/(-7). Let t be (-52)/(-2)*7/(-7). Let b = 102 - t. Calculate the greatest common divisor of g and b. 16 Let w(y) = -4*y - 29. Let p(j) = 6*j + 9. Let d be p(-3). Let c be w(d). Let q = -12 - -47. Calculate the highest common factor of q and c. 7 Let f(d) = 2*d**3 - 66*d**2 - 64*d - 91. Let r be f(34). Suppose 900 = -0*v + 4*v. What is the greatest common factor of r and v? 45 Suppose 2*v = 2, -6*s + 2729 = v + 4*v. Calculate the highest common divisor of s and 2. 2 Suppose 4*q - 140 = -4*x, 205*x = 202*x + 9. What is the greatest common factor of q and 4160? 32 Suppose 133 = 714*r - 712*r + 5*i, 4*r + 4*i - 248 = 0. Calculate the greatest common factor of r and 17287. 59 Let j = 264 + -152. Suppose 32 = 5*k + 2*c - 122, 0 = k + c - 29. What is the highest common divisor of k and j? 16 Let k be 1150/35 - (-24)/21. Let v be ((-306)/(-8))/(4/32). What is the greatest common divisor of v and k? 34 Let n(d) = 96*d - 5 - 904*d**2 - 94*d + 907*d**2. Suppose w = -3*w + 16. Let a be n(w). Calculate the highest common factor of a and 34. 17 Let j be 24*6/(84/35). Suppose -6 = -4*c - 2*g + 152, -77 = -2*c - 3*g. What is the highest common divisor of j and c? 20 Let r be -3 + (-35)/7*(-14 - 0). Let n = -46 + r. Let z(t) = 2*t**2 + 1. Let m be z(1). What is the greatest common divisor of n and m? 3 Suppose 39*c + 67780 - 68950 = 0. Suppose -5*l - 7*w + 355 = -2*w, 2*w - 292 = -4*l. What is the greatest common factor of c and l? 15 Suppose -168960 = 5*g + 44*g - 82*g. What is the greatest common factor of 400 and g? 80 Suppose -14*m + 3 = -9*m - 4*d, -4*d + 9 = -m. Suppose -m*n + 43 = z + 2*n, -4*n = 4*z - 252. Let v = -53 + z. Calculate the highest common factor of 15 and v. 15 Suppose 5*h + 268 + 117 = 0. Let k = -38 - h. Suppose -145 - 167 = -8*s. What is the highest common factor of k and s? 39 Let p = 467 + -339. Let y = 9 + -7. Suppose -y*d = -3*g + 58, 7*g + 5*d = 3*g + 39. What is the greatest common factor of p and g? 16 Suppose 31*f - 30587 = -39*f - 977. What is the greatest common divisor of 144 and f? 9 Suppose 4*n - 5*b - 118 - 353 = 0, -2*n + 3*b = -235. Let g = 65 - n. Let w be ((-15)/(-9) - 2)*g. Calculate the highest common factor of 90 and w. 18 Suppose -33 = -r + 3*m - 27, 3*m - 24 = 0. What is the greatest common divisor of 2630 and r? 10 Let l = -143 + 64. Let v = -46 - l. Suppose 31*z = v*z - 462. Calculate the greatest common factor of 21 and z. 21 Let r = -19 + 36. Let m(s) = -s**2 + 19*s - 6. Let f be m(r). Suppose -c = -f - 5. Calculate the highest common divisor of c and 44. 11 Suppose 1 = -o + 32. Let u be (15/(-25))/(2/(-20))*2. Let r be (52/12 - 4) + 1112/u. Calculate the highest common factor of r and o. 31 Let c = 9669 + -9645. What is the
{ "pile_set_name": "DM Mathematics" }
e of 32? False Let p be (-13 - -11)*1/(-2). Is 26 a factor of (9/p - 5)/((-4)/(-130))? True Suppose 3*k - 46 = 719. Is k a multiple of 85? True Let k = -25 - -31. Does 18 divide (-1692)/(-24) - k/(-4)? True Let p(u) = -u**3 + 23*u**2 - 21*u + 26. Let z = 65 + -43. Is 4 a factor of p(z)? True Suppose -4*k + 5*h + 1212 = 0, -6*h + 5*h = -3*k + 920. Does 11 divide k? True Let w(s) = 2*s + 17. Let o be w(-8). Let c be o*1/(-2)*0. Suppose m + c*m = 15. Does 5 divide m? True Let t = 213 - 45. Does 8 divide t? True Suppose 2*m - 9 + 37 = 0. Let j(g) = -g - 12. Let r be j(m). Is 17 a factor of ((-374)/55)/(r/(-5))? True Let v(f) = -22*f + 10. Let a be v(5). Let o = a - -167. Does 36 divide o? False Suppose 3*p + 7 = -2. Let m be (p - 24/(-9))*-6. Suppose m*l + 16 = 3*l. Does 6 divide l? False Let x = -23 - -26. Suppose 0 = 3*i - 5*o - 96 - 78, 4*i - 243 = x*o. Is 7 a factor of i? True Is 14 a factor of (-48)/9*49560/(-80)? True Let c(o) be the second derivative of -o**7/2520 + 11*o**6/720 - o**5/20 - o**4/3 + 6*o. Let l(f) be the third derivative of c(f). Is 5 a factor of l(8)? False Does 43 divide 695 - (20/4 - (-4 - -3))? False Suppose 2106 = 8*j - 5574. Does 96 divide j? True Let z = -210 - -223. Is z a multiple of 3? False Suppose i + i - 1513 = -k, 3*i = -5*k + 7565. Is k a multiple of 17? True Let c be (18/(-12))/(-6*3/1992). Let z = c - 119. Is 6 a factor of z? False Does 4 divide (90/(-60))/((10/268)/(-5))? False Let j be (18/(-4))/((-21)/28). Suppose 4*z - 13 = -5*w, 3*w + z = -2*z + j. Suppose 0 = -3*y + 4*g - 9*g + 40, 5*g - 70 = -w*y. Does 15 divide y? True Suppose -4*f + 3*f - 4 = 0. Let m(u) = u + 9. Let b be m(f). Suppose -5*h - 35 = -x, h + h = -b*x + 229. Does 17 divide x? False Let k(t) = t**2 + 2*t - 6. Let a(l) = -2*l**2 - 2*l + 7. Let g(z) = -4*a(z) - 5*k(z). Let j = -1063 - -1065. Is 5 a factor of g(j)? True Suppose 0 = 2*t + 3*d - 415 + 36, t - 191 = -d. Does 12 divide t? False Let x be (-3 - -2)*-2 - -1. Suppose -2 = -u - 0*u. Suppose -u - 19 = -x*i. Is i a multiple of 3? False Let v(d) = 3*d - 1. Let k be v(1). Let c be (k/(-6))/((-9)/108). Suppose c*h - 32 = -0*h. Is h a multiple of 4? True Suppose 2*a + 15 = -4*k - 29, -4*k + 4*a = 20. Let h = k - -9. Suppose h = -l + 32 - 4. Is l a multiple of 14? True Let g(l) = 4*l + 81. Let y = 47 + -58. Does 10 divide g(y)? False Let d(i) = 3*i**2 - i + 18. Does 132 divide d(21)? True Let b(h) = -h**2 + 6*h - 1. Suppose 3*z + 3 = 24. Let f be b(z). Let v = 14 + f. Is v a multiple of 4? False Let j be 1715/28 + 2/(-8). Suppose -d - 6*n = -3*n - j, -2*d + 2*n + 90 = 0. Is 10 a factor of d? False Let o = 302 - 364. Let c(a) = 23*a**2 + 2*a. Let m be c(2). Let n = o + m. Is 10 a factor of n? False Let s(k) = -k**3 + 2*k**2 + 5*k + 270. Does 27 divide s(0)? True Let y = -46 + 106. Does 18 divide y/(-24) + 154/4? True Let w be (-20)/(-130) - 698/(-26). Let y = 88 - w. Suppose 4*x - 100 = -2*f, 4*f = -3*x - f + y. Is x a multiple of 5? False Suppose -11*h - 2112 = -15*h. Does 8 divide h? True Suppose -p = 8*p + 306. Let j = p - -42. Is 8 a factor of j? True Suppose -2*u - 814 = 3*i, u + 1052 = -4*i + 5*u. Let j = -190 - i. Suppose -6*p + 3*p + j = 0. Does 4 divide p? False Let r(t) = 21*t**2 - 4. Let p be r(-2). Let q = p - 41. Suppose d = 12 + q. Is 11 a factor of d? False Let o(j) = -3*j - 1. Let v(k) = -16*k - 6. Let y(c) = -14*o(c) + 3*v(c). Let u be y(-6). Suppose -5*i = -i - u. Is i a multiple of 4? True Let j(k) = -2*k**3 - 5*k**2 + 13*k + 5. Let r be j(-5). Let m = 185 - r. Is m a multiple of 40? True Let k(c) = -c**2 - 12*c - 6. Let j be k(-11). Suppose -12 = -j*b - 2. Suppose 0 = 2*v + b - 16. Is v a multiple of 4? False Let d be (-4 - 1)*6/15*-1. Suppose -4*v = 3*r - 151, d*r - 5*r = 2*v - 161. Does 9 divide r? False Suppose 43344 = 14*i + 29*i. Does 4 divide i? True Suppose 0 = c - 2*c + 64. Suppose 6*u = -2*y + u + 64, c = 2*y - 2*u. Does 4 divide y? True Let t be 3/2 - (-3)/2. Suppose 102 - 10 = 4*c. Suppose -4*h + c = t. Is h a multiple of 5? True Suppose j - 3*w = 0, 3*w = -4*j + 6*w + 36. Let u = 15 - j. Suppose u = 4*c - 89. Does 13 divide c? False Let y(d) = d**3 + 2*d**2 - 2*d + 3. Let k be y(-3). Let r be (6 + k)*(3 + -2). Does 3 divide (0 + 3/2)*r? True Does 29 divide (6 - 4) + (-8)/12*-1050? False Let d = -2353 + 2785. Is 24 a factor of d? True Suppose -4*l + 0*l + 2*s = 2966, 3*s = l + 734. Let m = -445 - l. Let k = m + -175. Is 41 a factor of k? True Let d = 10 + 3. Let a = d + -12. Suppose h - 8 = a. Does 9 divide h? True Suppose 11*k - 6330 = 5682. Does 42 divide k? True Suppose -4*f + 1 = -2*c + 3, 5*c + 25 = 0. Let p be -2 - (f - 4) - 1. Suppose -y - 153 = -p*y. Is 22 a factor of y? False Let z(s) = s**3 - 3*s**2 + 5*s - 4. Let w(g) be the third derivative of g**4/24 + 5*g**3/3 + 4*g**2. Let c be w(-7). Is 11 a factor of z(c)? True Let n = -68 + 65. Does 2 divide 4/(-54)*n + (-520)/(-90)? True Let z be 5/(140/72)*7. Suppose 2*t = 4*t + z. Let f = 10 - t. Does 19 divide f? True Does 6 divide 387 + (0 - (-27)/(-9))? True Is 37 a factor of ((-5)/10 + -2)*148/(-2)? True Suppose -398 = -3*v - 5*c - 71, -c - 117 = -v. Is v a multiple of 12? False Suppose 9*j + 3*j - 9588 = 0. Is 47 a factor of j? True Let p(b) = 9*b + 4. Suppose -3*s + 18 + 0 = 0. Does 49 divide p(s)? False Suppose 4 = 5*g + 4*i, -3*g - 2*g + 2*i = -28. Suppose g = -4*w + 292. Does 12 divide w? True Suppose -3*v + 341 = 128. Does 19 divide v? False Suppose -32*w - 68 = -36*w. Suppose w*x = 22*x - 590. Does 25 divide x? False Let k = 784 + -373. Suppose -k = -9*a + 300. Is a a multiple of 15? False Let h be (-4)/4*(3 - 8). Let m be 15/h + (-14 - 4). Is ((-32)/(-5))/((-3)/m) a multiple of 16? True Suppose 3*g - 50 = 34. Let i be (-4)/1*77/g. Let x(p) = p**2 + 8*p - 9. Does 6 divide x(i)? True Suppose -4*f + 2*t - 9 = -f, -4*f - 5 = -5*t. Let p(d) be the third derivative of d**5/30 + d**4/6 - d**3 + 2*d**2. Is 14 a factor of p(f)? False Suppose 3*n - f = -3, n - 5*n + 2*f - 6 = 0. Let x = 103 + n. Is 16 a factor of x? False Let p be (-32)/7 + 45/(-105). Let a = 3 - p. Is 8 a factor of a? True Suppose 0 = -6*o + o + 135. Suppose -4*b = -b - o. Does 19 divide (b - 11) + -1 + 73? False Let a(n) = 9*n - 9. Does 6 divide a(19)? True Let f(p) = p**3 - 24*p**2 - 11*p - 34. Does 58 divide f(25)? False Let w(y) = 8*y - 10. Let d be w(2). Let f = -5 - -29. Let u = f - d. Is 9 a factor of u? True Suppose -2*v - 2*m = -10, 5*v + 3*m - 4*m = 7. Suppose 3*x = 0, 2*o - v*x + 84 = 4*o. Is 36 a factor of 6062/o - (-1)/(-3)? True Suppose 2*w - 4*w + 466 = 4*n, 4*n + 3*w - 471 = 0. Is 50 a factor of n? False Suppose -5*o - 3*m + 122 = 0, -77 = -3*o - 0*m + 2*m. Let g = -4 - -5. Suppose g = -4*s + o. Is 3 a factor of s? True Suppose -2*h + 3*f + 237 + 1644 = 0, -2*f + 3770 = 4*h. Is 19 a factor of h? False Is 15 a factor of 7161/9 + (-2)/3? True Let r(y) = 2*y**2 - 3*y - 3. Let n be r(-1). Suppose -3*h + 0*h + f + 412 = 0, n*h + 4*f - 256 = 0. Is 28 a factor of h? False Let b(o) = 9 + 7*o - 4*o + 4*o. Let m(t) = 2*t**2 + 36*t - 26. Let d be m(-19). Does 31 divide b(d)? True Let s(v) = 4*v**2 + 46*v + 361. Does 11 divide s(-16)? True Let f = -30 + 35. Suppose 3*r + 3 = 3*c, -f*c = 5*r - 2*r - 21. Suppose -2*z = -3*k + 26 + 9, c*z = -2*k + 32. Is k a multiple of 13? True Suppose -5*m = -0*m - 15. Does 11 divide 19 - (m + -1 + -5)? True Let k be ((-18)/(-15))/(1/300). Suppose -3*o + 4*s = -150 - 120, k = 4*o - s. Is 30 a factor of o? True Let t = 63 + -77. Is 16 a factor of (-7)/t*(-74 + 1)*-2? False Suppose 0 = -z + 3 - 1. Let n(p) = 7 - p**3 - 3*p + 0*p - 3*p + 4*p + 9*p**z. Is n(8) a multiple of 12? False Suppose 0 = -2*a, -2*l = 3*l - 4*a. Suppose l = 5*t - 228 + 63. Suppose -3*q + t = -21. Is q a multiple of 6? True Suppose -102*h + 65107 = -224063. Does 81 divide h? True Let z(p) be the third derivative of 3*p**4/8 + p**3/6 - 7*p**2. Let q be z(1). Suppose 45 = -5*r + q*r. Does 3 divide r? True Let g(i) = i**2 - 4*i - 10. Let r be g(-3). Let a be 1*-132*r/2. Is 3 a factor of (1/(-3))/(11/a)? False Suppose i = z - 52, -110 - 70 = -4*z - 3*i. Is z a multiple of 3? True Suppose -3*o + 15 = 6. Suppose -o*s = -6 - 9. Suppose -3*m = -2*v - 43 + 16, 2*v = m - s. Does 3 divide m? False Let u(g) = 71*g**2 - 1. Let n be u(-1). L
{ "pile_set_name": "DM Mathematics" }
y 4. -4132 Calculate 1009 divided by 24. 1009/24 What is 672 divided by -6? -112 4 divided by 3976 1/994 151 divided by 1 151 Calculate 3808 divided by 4. 952 Calculate 1072 divided by 4. 268 What is -1 divided by -27? 1/27 What is -83 divided by 1? -83 Divide -48 by 2. -24 Divide -3196 by 94. -34 Divide -217 by -7. 31 Divide -14928 by -3732. 4 11 divided by 5 11/5 Divide 14 by -26. -7/13 What is 5 divided by 320? 1/64 Calculate 10 divided by 1197. 10/1197 Divide 13 by 4. 13/4 Divide -7683 by 13. -591 Calculate -1 divided by -251. 1/251 292 divided by 146 2 What is 40 divided by 8? 5 Divide -168 by 14. -12 1 divided by 107 1/107 45 divided by 38 45/38 Divide -9278 by -4. 4639/2 Divide -99 by 4. -99/4 -197 divided by -1 197 Divide -5780 by -6. 2890/3 Calculate -4893 divided by -7. 699 30 divided by 5 6 What is -225 divided by -3? 75 Divide -252 by -9. 28 Calculate -2 divided by -930. 1/465 What is 1488 divided by 4? 372 Calculate -41 divided by 6. -41/6 What is 16 divided by -5? -16/5 What is -482 divided by -2? 241 -5 divided by 10 -1/2 Calculate -73 divided by -12. 73/12 790 divided by -395 -2 Calculate 0 divided by 56. 0 85 divided by -17 -5 Calculate -843 divided by 281. -3 What is 0 divided by 118? 0 Divide 225 by -9. -25 Divide -6975 by 93. -75 Divide -43593 by 3. -14531 Divide 2494 by -3. -2494/3 2 divided by -52 -1/26 Calculate -81 divided by -27. 3 Divide 4180 by 836. 5 Divide 1865 by 373. 5 Divide 10 by -4. -5/2 Calculate 2376 divided by -1188. -2 What is 4974 divided by 2487? 2 Divide 2385 by -795. -3 11331 divided by -3777 -3 What is -7 divided by 40? -7/40 Calculate -13 divided by 554. -13/554 14335 divided by -3 -14335/3 What is -4 divided by -18? 2/9 Calculate -2844 divided by -6. 474 Calculate 3 divided by -3361. -3/3361 Divide -1586 by -2. 793 What is -190 divided by 5? -38 Divide 243 by 81. 3 Divide 2 by 20. 1/10 Divide -10263 by 4. -10263/4 Divide 6 by 29. 6/29 Calculate -4128 divided by 1032. -4 Divide 280 by -56. -5 Calculate -1136 divided by 4. -284 Divide 5 by -885. -1/177 What is 220 divided by 44? 5 Divide -156 by 1. -156 -1400 divided by 100 -14 -1 divided by 40 -1/40 Divide -510 by 34. -15 Calculate 306 divided by 102. 3 What is 980 divided by -4? -245 Divide 2744 by 98. 28 Divide 3 by 68. 3/68 What is 4 divided by -4085? -4/4085 -46 divided by 75 -46/75 Calculate -255 divided by -4. 255/4 Calculate 212 divided by -21. -212/21 What is 103 divided by 2? 103/2 -18 divided by 61 -18/61 Calculate -54579 divided by 3. -18193 Calculate 24252 divided by 4. 6063 Divide 9910 by -1. -9910 Calculate 7998 divided by 6. 1333 What is -6108 divided by 3? -2036 Divide 64 by -8. -8 Divide 3234 by -33. -98 Divide 30 by 144. 5/24 What is -774 divided by -129? 6 20289 divided by -3 -6763 -1440 divided by 180 -8 Calculate 2 divided by 4126. 1/2063 Calculate -7 divided by 9. -7/9 Divide -1920 by 6. -320 What is -6510 divided by -6? 1085 Calculate 1 divided by 14. 1/14 Calculate 7513 divided by -2. -7513/2 Divide 276 by -69. -4 Calculate -44524 divided by -4. 11131 Calculate 51006 divided by -6. -8501 34 divided by -6 -17/3 Divide -2485 by 497. -5 597 divided by -199 -3 Calculate 6 divided by -33. -2/11 What is -255 divided by 3? -85 -14 divided by -73 14/73 Calculate 11 divided by 73. 11/73 -1 divided by 232 -1/232 What is 420 divided by 84? 5 Calculate 10540 divided by -62. -170 Divide -102 by 6. -17 Calculate -22064 divided by -3152. 7 What is 34 divided by 2? 17 -1020 divided by -4 255 Divide 9 by 121. 9/121 -3570 divided by 238 -15 -110 divided by -2 55 What is 1 divided by -44? -1/44 -507 divided by 7 -507/7 Divide 4 by -17. -4/17 Divide -332 by 1. -332 Divide 160 by 20. 8 Calculate 84 divided by 21. 4 Calculate -593 divided by -593. 1 -735 divided by -3 245 Divide -3 by -2677. 3/2677 25 divided by 5 5 1682 divided by 841 2 Calculate -14377 divided by -5. 14377/5 Divide 942 by -6. -157 What is 2 divided by 33? 2/33 What is 13385 divided by 5? 2677 Divide 81 by 27. 3 What is 2504 divided by -2? -1252 266 divided by 2 133 321 divided by -2 -321/2 592 divided by 3 592/3 -13 divided by 37 -13/37 What is -10 divided by 421? -10/421 What is -1899 divided by 9? -211 Divide -1210 by 55. -22 What is 3412 divided by 853? 4 What is -1094 divided by 6? -547/3 Calculate -180 divided by 3. -60 What is 1 divided by -2927? -1/2927 What is -5 divided by 504? -5/504 -6 divided by 57 -2/19 Divide 9981 by -9. -1109 858 divided by -286 -3 Calculate 1315 divided by 6. 1315/6 Divide -30420 by 1. -30420 930 divided by 5 186 Divide 133437 by 3. 44479 What is 1481 divided by -4? -1481/4 What is -261 divided by 1? -261 Divide 31304 by 344. 91 10 divided by -1153 -10/1153 -16644 divided by -3 5548 Divide 65652 by -6. -10942 4053 divided by 3 1351 Divide -500 by -5. 100 What is 164 divided by 82? 2 Calculate -4428 divided by 18. -246 -300 divided by 100 -3 Divide 672 by 42. 16 Calculate 0 divided by 36. 0 Divide -8 by -1716. 2/429 What is -4 divided by -254? 2/127 -12 divided by -2 6 Calculate 3 divided by 625. 3/625 What is -380 divided by 95? -4 Calculate -68 divided by 17. -4 What is -692 divided by -2? 346 Calculate 12 divided by -1318. -6/659 What is -42 divided by -191? 42/191 Divide -3234 by -33. 98 Calculate -3 divided by 559. -3/559 -1 divided by 465 -1/465 What is 2780 divided by 1? 2780 36 divided by 47 36/47 Calculate 4 divided by 943. 4/943 Divide 550 by -110. -5 115 divided by -3 -115/3 Calculate 889 divided by 1. 889 Divide -2898 by 138. -21 Calculate -36 divided by 56. -9/14 13566 divided by 3 4522 What is 5916 divided by 986? 6 Calculate -728 divided by 104. -7 159 divided by -53 -3 Calculate 1 divided by -443. -1/443 -683 divided by -4 683/4 Divide 213 by 4. 213/4 What is -908 divided by -4? 227 Calculate 120 divided by 6. 20 Divide 10443 by 4. 10443/4 Divide -7819 by 1117. -7 Calculate 4 divided by -83. -4/83 Divide 187 by 4. 187/4 What is -75 divided by -5? 15 What is -4 divided by -78? 2/39 What is -412 divided by 103? -4 Calculate -180 divided by 5. -36 Divide -18629 by -1. 18629 What is 5 divided by -1? -5 Divide -2 by 1233. -2/1233 Divide -2670 by 1. -2670 Calculate -1652 divided by -1652. 1 What is 40 divided by -3? -40/3 -2130 divided by 6 -355 What is -120 divided by -40? 3 299 divided by -23 -13 What is -9460 divided by -5? 1892 What is 152 divided by -14? -76/7 33 divided by -3 -11 Calculate 20 divided by 51. 20/51 2452 divided by -6 -1226/3 Calculate -34 divided by 1. -34 What is -5 divided by 92? -5/92 What is 1904 divided by 238? 8 Divide 16086 by 21. 766 Divide -1071 by -17. 63 What is 347 divided by 32? 347/32 Calculate -12 divided by 21. -4/7 Divide -1680 by -280. 6 -558 divided by -9 62 -216 divided by 12 -18 What is -5000 divided by 5000? -1 What is 2 divided by 7515? 2/7515 Divide 41 by 2. 41/2 Divide -1 by 50. -1/50 1722 divided by -574 -3 Calculate 1710 divided by -6. -285 What is 201 divided by 5? 201/5 What is -164 divided by -41? 4 2 divided by 410 1/205 Calculate -5292 divided by 3. -1764 What is 678 divided by -4? -339/2 -2 divided by -147 2/147 What is 1198 divided by 2? 599 2156 divided by 2 1078 Divide 1722 by -7. -246 What is 28940 divided by 4? 7235 Divide -336 by 16. -21 What is -84 divided by -12? 7 Calculate 18014 divided by -5. -18014/5 Divide 150 by 30. 5 What is 11 divided by 31? 11/31 What is -446 divided by -2? 223 4 divided by -114 -2/57 8704 divided by 34 256 Divide -2017 by -3. 2017/3 Calculate -204 divided by -17. 12 Divide 105 by 21. 5 Calculate 7 divided by 29. 7/29 1705 divided by -5 -341 Calculate 621 divided by 3. 207 2844 divided by -4 -711 48 divided by -24 -2 Calculate -1040 divided by 13. -80 180 divided by -3 -60 1105 divided by 221 5 Calculate 56 divided by -8. -7 Calculate -2028 divided by -2028. 1 1330 divided by 2 665 Divide 2 by 79. 2/79 Divide -1 by -71. 1/71 What is -136 divided by -8? 17 Calculate -170 divided by 170. -1 What is 0 divided by -2320? 0 Calculate 0 divided by -29. 0 Calculate 12042 divided by 3. 4014 Divide -3 by 185. -3/185 Calculate 3495 divided by -15. -233 Calculate 766 divided by -4. -383/2 Calculate -5 divided by -43. 5/43 Divide 8080 by -1616. -5 Divide 7755 by 705. 11 4 divided by -68 -1/17 What is 1 divided by 365? 1/365 8469 divided by -2823 -3 Divide 792
{ "pile_set_name": "DM Mathematics" }
le of 6? True Let j(f) = -2*f**3 + 10 + 3*f**3 - 2*f + f - f**2. Let g be 3 + (-9 - (-13 - -7)). Is j(g) a multiple of 7? False Let f be 4 + 1/(-1) + 2. Let j(y) = -y + 5 + 3*y - 1. Does 7 divide j(f)? True Let h(d) be the third derivative of d**4/12 - d**3/3 - 6*d**2. Let k be h(5). Let i = k - -44. Does 13 divide i? True Let y(a) = 9 + 0*a - 5*a - 4 + 5. Is y(-9) a multiple of 11? True Suppose -10*u = -6*u - i - 4753, -2*i + 5951 = 5*u. Is 17 a factor of u? False Let b(j) = 7 - 3*j**2 - 5 - 3*j + 0*j**2 + j**3 + 8*j**2. Suppose 0 = -5*i - r - 30, 4 + 11 = -2*i - r. Is 8 a factor of b(i)? False Let w(o) = o**2 - 18*o + 9. Let q be w(18). Suppose q*l = 13*l - 160. Is l a multiple of 10? True Let b(h) = 81*h + 1. Let l(y) = 406*y + 4. Let q(f) = 16*b(f) - 3*l(f). Is q(2) a multiple of 40? True Let h(a) = -a**3 - a**2 - a - 11. Let d be (-3 - 5) + 3 + 1 + 0. Does 35 divide h(d)? False Suppose -1 = q - 0*q. Let u(y) = -34*y**3 - y**2 + 2*y + 2. Does 11 divide u(q)? True Let j(h) = -5*h + 6. Let q(a) = 9*a - 11. Let s(d) = -d**2 + 8*d - 3. Let f be s(7). Let n(k) = f*q(k) + 7*j(k). Does 3 divide n(5)? True Suppose 0 = -d + 5*m - 110, 0 = 2*m + 4. Let b be (4/10)/((-3)/d). Suppose c + 2*t = -t + b, 50 = 4*c - 2*t. Is c a multiple of 4? False Let v(p) = 692*p + 281. Is v(2) a multiple of 11? False Let c be (0 + -1)*4*(-1 + -12). Suppose c - 58 = -2*d. Is 3 a factor of d? True Let m be 4/(-1 - -1 - -2). Suppose 0 = c - 3*t - 4, -2*t = c + m*t - 4. Suppose 76 = c*p - b, 4*p + b - 23 - 45 = 0. Is p a multiple of 6? True Let x = 1551 - 563. Does 4 divide x? True Suppose 38 = -3*s - 0*o + 5*o, 3*o - 18 = s. Let k be 35 + s*8/(-12). Suppose -k + 287 = 4*b. Is 18 a factor of b? False Suppose 0 = 2*i - 3*c - 1682, -4*c - 12 = -c. Does 26 divide i? False Let c = -8 - -11. Suppose 7 = c*k - 2. Is 10 a factor of -2 + 22 + -1 + k? False Let n(h) = h**2 + 14*h + 34. Let t be n(-10). Let j(m) = -3*m - 14. Is j(t) even? True Let v(n) = -25*n**2 - n - 2. Let r(l) = 49*l**2 + 2*l + 3. Let t(y) = 3*r(y) + 5*v(y). Is t(1) a multiple of 6? False Let k(u) = -u**3 + 13*u**2 + 15*u + 18. Let o be k(14). Let g = 17 - o. Is (-1)/2*1350/g a multiple of 15? True Suppose i - 2*k + 15 = 0, 0 = -2*k + 7 - 1. Is 2 a factor of -26*(36/8)/i? False Suppose -6*l + 3*a = -11*l + 10215, l = -5*a + 2021. Is l a multiple of 62? True Let l(u) = -u - 5. Let m be l(-2). Does 9 divide m/(-9) - 538/(-6)? True Is 6 a factor of (6 - 6/(-2))*88/6? True Let q(i) = -19*i + 9*i - 12*i - 30. Does 16 divide q(-4)? False Let t(y) = y**2 + 3*y + 12. Suppose -86 = -u - u. Suppose 5*z - 3 = -u. Is t(z) a multiple of 29? False Let m(k) = k**2 - 14*k + 9. Is 10 a factor of m(-13)? True Let d be (-15)/3 + -8 + 5. Is 9 a factor of 1/2 + (-108)/d? False Suppose 0 = 7*w - 8*w - 2. Let j(a) = 19*a**2 + a - 1. Let t be j(w). Let u = 105 - t. Is 8 a factor of u? True Let g(s) = -s - 6. Let x be g(6). Let o(d) = -d**3 - 14*d**2 - 28*d + 8. Is o(x) a multiple of 14? True Let t(a) = 4*a**2 + 57*a + 22. Is t(-20) a multiple of 15? False Let t(l) = 0*l**2 - 1 + l**2 - l + 3 + 4*l**3. Let d be 416/195 + 1 + 68/(-60). Does 18 divide t(d)? True Let y(v) = 3*v + 29. Let q be y(-9). Suppose -358 = -q*o - 4*d, -4*o - 3*d + 731 = -0*o. Is o a multiple of 37? True Let d = -2013 + 3188. Is d a multiple of 126? False Let t = 224 + -100. Does 31 divide t? True Let k = 2403 - 911. Is k a multiple of 39? False Let w = 19 - -16. Suppose 15 = 2*p - w. Is p a multiple of 5? True Let d(x) be the second derivative of x**5/20 - x**4/12 - x**3/3 + 5*x**2 - 15*x. Is d(0) a multiple of 10? True Suppose 21*m - 17*m = 816. Suppose 2*c - 98 = -0*c + o, -4*c + m = 2*o. Does 25 divide c? True Let x(n) = 26*n - 313. Does 2 divide x(15)? False Let s(f) = 2*f**2 + 5*f + 4. Let o(n) = 5*n**2 + 15*n + 13. Let m(d) = -3*o(d) + 8*s(d). Is 2 a factor of m(-3)? False Let z = 5 + -5. Suppose z = 2*x + x - 6. Suppose 0 = 4*v + 3*d - 93, v - 5*d = -x*v + 48. Is v a multiple of 7? True Let v(a) = -16*a - 62. Let b be (4 + 92/(-16))/((-2)/(-8)). Is v(b) a multiple of 25? True Is ((-233792)/728)/(2/(-7)) a multiple of 44? False Suppose -3*v = -4*y - 86, 3*y - 98 = -6*v + 2*v. Suppose -54 = v*s - 23*s. Is 0 + 3 - (s - -9) a multiple of 2? True Let b = 1470 + -838. Is b a multiple of 37? False Suppose -3*l = 17*z - 22*z - 1677, 5*z = -l + 559. Does 14 divide l? False Let b be (2 + -3 + 3 - 3)*5. Is 34 a factor of (-1 - -176) + (b - (5 - 7))? False Let c(m) = -5*m**2 - 13*m - 10. Let b(x) = 9*x**2 + 27*x + 20. Let y(i) = -4*b(i) - 7*c(i). Is y(-10) a multiple of 30? True Suppose w + 965 = 3*q - 1435, 2*w = q - 800. Is 8 a factor of q? True Let w(v) = -v + 11. Let k be w(9). Suppose -3*o + 226 = y - k*y, -4*y = -o + 57. Is 13 a factor of o? False Is 3*(-7)/21*(-39 - -3) a multiple of 11? False Suppose 4*n - 2*n + 32 = 2*m, -2*n = m - 13. Suppose -s + m = 4*g - g, 10 = 5*s + 2*g. Suppose 4*w = 2*r + 2*w, 4*w - 16 = s. Does 2 divide r? True Suppose -3*t + 0*t + 16 = -q, q = -4. Let h(v) = 2*v**2 - 7*v + 13. Is h(t) a multiple of 17? True Suppose 44 = -n + 6. Let v = -102 - -175. Let q = n + v. Does 27 divide q? False Let t(o) = 2*o**2 + 39*o - 45. Is 9 a factor of t(-21)? True Let u(p) = -p**3 - 28*p**2 + 66. Is u(-28) even? True Does 71 divide 110 - (-4)/12*(0 - 0)? False Let w(l) = -l**2 - 7*l + 8. Let s be w(-6). Suppose -b + s = 2*i - 4*i, -3*b = -5*i - 46. Does 13 divide b? False Let z = -287 - -315. Does 7 divide z? True Suppose 3*q - 3*p = 0, 12 + 0 = 5*q + p. Suppose 2*u - s - 36 = 3*s, 5*u = -q*s + 66. Suppose -u = -a + 24. Is a a multiple of 26? False Let g(z) = z**3 + 2*z**2 - 5*z - 17. Let j be g(-6). Let u = -106 - j. Does 9 divide u? False Let o = -3462 + 6122. Does 28 divide o? True Let w be 0 - -2 - (-3 + 5). Suppose w = 5*p + 4*g - 843, -p + 4*g + 180 = g. Is 27 a factor of p? False Let w(z) = z**3 + 18*z**2 + z + 18. Let b be w(-18). Suppose b*d = 2*d - 14. Is 7 a factor of d? True Let m be (-10)/(-35) - (-1788)/14. Suppose 4*z - m = 228. Is z a multiple of 13? False Suppose -6 = -2*b + 2. Suppose -3*t + 5 + 22 = -b*z, 4*t = -4*z + 8. Let w(v) = 2*v**2 - 4*v - 3. Is 9 a factor of w(t)? True Let c(q) = 4*q**2 - 133*q + 196. Does 44 divide c(40)? True Let g = -4 + 6. Let j be 2*7 - (g + -1). Let m = j - 5. Is m a multiple of 4? True Let d(o) = 3*o**2 - o - 2. Let f be d(-2). Let n be (366/f)/(2/20). Suppose -n = q - 6*q. Is q a multiple of 18? False Let j be 10325/14*8/(-10). Does 12 divide (2/10)/((-2)/j)? False Let o = -2 + 1. Let b be ((-238)/(-35))/(o/(-5)). Suppose 0 = -0*l - l + b. Is l a multiple of 17? True Let k be 0/(10/(-15)*(-3)/(-2)). Suppose -74 = -2*q - k*q. Is 7 a factor of q? False Let x = 554 - 445. Is 17 a factor of x? False Let j = 2010 + -985. Is 15 a factor of j? False Let n be 710/((6/(-4))/(-3)). Suppose 4*w - 3*w + 2*j - 26 = 0, -5*w + 136 = 4*j. Is n/w - 8/(-28) a multiple of 16? False Let x(r) = -6 - 5 - 6*r - 2 + 1. Is x(-7) a multiple of 12? False Let c = 49 - 87. Let j = c + 57. Is j a multiple of 19? True Let q(i) = 2*i**2 - 2*i - 2. Let n = -17 + 19. Let t be q(n). Suppose -t*d - 4*v - v + 27 = 0, 3*v - 33 = -2*d. Does 21 divide d? True Suppose -336 = 4*w + 3*w. Let y = w - -92. Is y a multiple of 12? False Let m = 15 + -24. Let p = m - -14. Is p a multiple of 2? False Let a(h) = 5*h**3 + h**2 - 2*h + 1. Let k be a(1). Suppose 3*l - 274 + 38 = -5*i, -k*i + 242 = l. Suppose -63 = -4*s + i. Is 15 a factor of s? False Is 18 a factor of (6/9)/(-4 + (-10136)/(-2532))? False Let w = -114 + 415. Suppose -4*f + u + 297 = -0*u, -4*f = -5*u - w. Is f a multiple of 16? False Suppose 8*s = 9*s + 2*j - 449, 0 = -5*j - 10. Is 4 a factor of s? False Suppose -3*x - 15 = 4*i, 9 + 4 = -5*i + 2*x. Is 4*i/(-20)*55 a multiple of 11? True Suppose -5*b - l + 13 = 3*l, 2*b - 4 = -2*l. Suppose -b*v = 0, 4*v + 55 = x - 39. Does 27 divide x? False Let z(j) = -j**3 - 17*j**2 - 18*j - 120. Is z(-18) a multiple of 4? True Let o be -10*226/4 - -3. Let g = -355 - o. Does 27 divide g/(-2)*(-6)/9? False Suppose 0 = 3*v - 2*y - 448, -2*v - 2*y + 588 = 2*v. Is 13 a factor of v/16*4 - (-1 - 1)? True Let g = 27 - 27. Suppose 0*c - 6*c + 216 = g. Does 12 divide c? True Let g(w) = -2*w**2 - 7*w + 6. Let m be g(-6). Let l = 69 + -18. Let v = l + m. Does
{ "pile_set_name": "DM Mathematics" }
are the prime factors of (176/12 + n)*3? 2 Let k(z) = -3*z + 7. Let l be k(3). What are the prime factors of (-115)/l*(-7)/(105/(-12))? 2, 23 Let n be (-1)/(3/12*4). Let p(w) = -13*w. Let h be p(n). Suppose 4*o = 4*a + 40, -9*a = 2*o - 4*a - h. List the prime factors of o. 3 Suppose -5*k + 45 = 3*l + 4, -l - k + 13 = 0. Let q(x) = 12*x - l*x - 3*x**2 - 5*x**3. List the prime factors of q(-2). 2, 7 Let b = -14 - -126. Suppose 4*i = d + 2*i - 25, 3*i = -5*d + b. List the prime factors of d. 23 Let w = -864 + 1395. What are the prime factors of w? 3, 59 Suppose 11*p - 300 = 6*p. Suppose 9*h - 4*h = p. What are the prime factors of h? 2, 3 List the prime factors of ((508 - 9) + -9)*3. 2, 3, 5, 7 Let g be -1*(-2)/(2 + -4). Let c = 0 - g. Suppose -i - 3*l + c + 35 = 0, -5*l = -i + 28. What are the prime factors of i? 3, 11 Suppose 2*w = 6*w + 28. Let m = w - -10. List the prime factors of m. 3 List the prime factors of 3170 + 23 + -1 + -11. 3181 Let v = 225 + -336. List the prime factors of (-4 + 2 + 0)*v. 2, 3, 37 Let c(f) = 11*f**2 - 73*f - 9. List the prime factors of c(24). 3, 5, 61 Let n = -60 - -63. Suppose n*b + 1100 = 13*b. List the prime factors of b. 2, 5, 11 Suppose -4*l + 29 = -55. Let p be (l/(-6) + 3)*0. Suppose p = -t - 4*t + 5, 0 = -4*y + 3*t + 85. List the prime factors of y. 2, 11 Suppose -2*a + 6 = -126. List the prime factors of -1 + (-12)/24 + a/4. 3, 5 Let b(s) = 2*s - 11. Suppose 4*n - 11 - 17 = -4*v, 2*n - 8 = -4*v. List the prime factors of b(n). 3 Suppose -4*i - 2*p - 20 = 0, -8 = 2*i + i - 2*p. Let c be (0 - 2) + i + -1. Let n = 1 - c. What are the prime factors of n? 2 Suppose -3*k + 7*k - 1924 = 0. Suppose 887 = 12*z - k. What are the prime factors of z? 2, 3, 19 Let n = 608 - -746. What are the prime factors of n? 2, 677 Let t(o) = 51*o. Let d be -2*((-21)/(-6) + -4). What are the prime factors of t(d)? 3, 17 Let n(o) = 6*o**2 - 56*o + 66. What are the prime factors of n(15)? 2, 3 Let y(f) = 8*f**2 + 4*f - f - 25 + f - 6*f + f**3. List the prime factors of y(-7). 2, 19 Suppose 0 = 4*d - 2*q + 2 - 20, d - 2*q - 12 = 0. Let p be (30/12)/(d/12). Let s = -5 + p. What are the prime factors of s? 2, 5 Suppose 5*d = 61 - 21. Suppose d*h - 802 = 502. List the prime factors of h. 163 Let f be (-1)/2 + (-114)/(-12). Suppose 0 = -4*u - 5*s + f - 0, 0 = 5*s - 5. Suppose k - u = 13. List the prime factors of k. 2, 7 Suppose 3*z - 23 - 61 = 0. Suppose -2 = v - z. List the prime factors of v. 2, 13 Let c(q) = q + 7. Let u be c(-6). Let k be -1*u/(4/(-136)). Let j = 52 - k. What are the prime factors of j? 2, 3 Suppose -2 = -l - 5*m + 2, 3*l - 12 = -3*m. List the prime factors of (1 - 7) + l + 37*3. 109 Let o(t) be the third derivative of -t**4/24 + 13*t**3/6 + 7*t**2. What are the prime factors of o(0)? 13 Let b(c) = 4*c - 14. Let w be b(11). Let h be 6/(-4)*(-8)/(-3). Let d = h + w. What are the prime factors of d? 2, 13 Suppose 1035 = 3*r - 537. List the prime factors of r. 2, 131 Suppose -4*z = -2*h - 4, 0*h - h + 2 = 0. Suppose 0 = -4*y + 8, 0*y + 56 = n - z*y. What are the prime factors of n? 2, 3, 5 Suppose -47*y = -22*y - 36675. List the prime factors of y. 3, 163 What are the prime factors of (-2)/((-7 + -5)/20304)? 2, 3, 47 What are the prime factors of ((-78)/9 - -6)*453/(-4)? 2, 151 Suppose 8*u + 3 = 9*u. Let b(j) = -4 + 7*j - j**2 + u - 7. What are the prime factors of b(4)? 2 What are the prime factors of 0 - (-1)/(-3) - 2355/(-45)? 2, 13 Suppose 0*k - 5*k = -10. Suppose k*b = -4*h - h + 175, -b - 5*h = -85. Suppose -3*n = 12 - b. List the prime factors of n. 2, 13 Let a(s) = 81*s - 3. List the prime factors of a(2). 3, 53 Let m(a) = -a**3 + 4*a**2 - 2*a - 1. Let r be m(2). Suppose 218 = 5*z + 4*k, -r*z + z + k + 82 = 0. List the prime factors of z. 2, 3, 7 Let q(k) = -13*k**3 - k**2 + 7*k + 10. What are the prime factors of q(-2)? 2, 3 Let n = 4 + 0. Let u(p) = -2 + p + 4 + 2 - p**3 + 5*p**2 + 1. List the prime factors of u(n). 5 Suppose -9*r + 18 = -18. Suppose p = 0, -r*i + 5*i - 49 = 4*p. List the prime factors of i. 7 Let v(z) = z**2 + 8*z + 10. Suppose 4*j - 2*w + 4*w + 62 = 0, 2*j - 2*w + 22 = 0. List the prime factors of v(j). 2, 47 List the prime factors of (26/4 - 5)/(3/134). 67 Let g = 28 + -25. Suppose -2*s = -5*j + 50, 0 = -5*j + j + g*s + 47. List the prime factors of j. 2 Suppose -a + 6*a - 110 = 0. Suppose a - 70 = -3*w. Let f(q) = 3*q - 13. What are the prime factors of f(w)? 5, 7 Let v be (-1)/6 - 355/30. What are the prime factors of (447/v)/(6/(-24))? 149 Suppose -3*l + l + 2435 = -5*v, -4*l + 4865 = -5*v. What are the prime factors of l? 3, 5 Let i = -15 - -13. Let w be (2/i)/(5/(-15)). Suppose -22 = -w*h + 2. List the prime factors of h. 2 Let c(h) = -h**3 + h**2 - h + 1. Let b(d) = -6 + 22*d - 10*d - 3 + 0*d**3 + 4*d**3. Let m(l) = -b(l) - 5*c(l). List the prime factors of m(7). 53 Let b(l) = 3*l**3 + 5*l**2 + 3*l + 4. Let r be b(-3). Let m = r - -149. What are the prime factors of m? 2, 3 Suppose 0 = 5*b - 9238 - 1282. What are the prime factors of b? 2, 263 Suppose -4*x - 151 - 89 = 0. Let v = 263 + x. Suppose 4*a + 2*o - 199 = a, -v = -3*a - 4*o. What are the prime factors of a? 5, 13 Let y = 88 - 40. Suppose 2*v + y = 6*v. Let c = 17 - v. What are the prime factors of c? 5 Let i be (-1456)/21*3/2. Suppose -5 = -j - 78. Let r = j - i. List the prime factors of r. 31 Let j(c) = -33*c**3 - c**2 + 6*c + 11. Let z be j(-2). Suppose -4*h + 479 = -t, 0 = -3*h - 5*t + 129 + z. List the prime factors of h. 11 Suppose 13*l + 575 = 3136. Let n(a) = -6*a**3 + 3*a**2 - 2*a + 3. Let k be n(3). Let r = k + l. What are the prime factors of r? 59 Let o = 48 + -36. Suppose -7*f - 505 = -o*f. What are the prime factors of f? 101 Let j = -12 - -48. Let m(v) = -18*v - 6 + v**2 + j - 20. What are the prime factors of m(19)? 29 Let m(s) = -2*s. Let n(a) = a. Let v(h) = -3*m(h) - 7*n(h). Let r = 4 + -17. What are the prime factors of v(r)? 13 Suppose -45*u - 81*u = -605934. List the prime factors of u. 3, 7, 229 Let x(y) = -4*y**2 + 9*y**2 + 3 - 2*y**3 + 2*y - 3*y - 5. Let v be x(3). List the prime factors of 4/v + 510/21. 2, 3 List the prime factors of 14/((-1078)/(-33)) + 9258/7. 3, 7 Let y(g) = -11*g + 3 + 6*g + 6*g + 0*g. Let u be y(5). What are the prime factors of (-286)/(-8) - (-2)/u? 2, 3 Suppose 4*r = -6*r - 400. Suppose -2*y = 9 - 175. Let c = r + y. What are the prime factors of c? 43 Let y(o) = 4*o**3 - 7*o**2 + 5*o + 16. List the prime factors of y(7). 2, 3, 5 Let a = 18 + 229. List the prime factors of a. 13, 19 Suppose 3*b = 2*h + 1204, 699 = 2*b + 5*h - 110. Let j = b - 174. List the prime factors of j. 2, 3, 19 Let c be 12/(-3)*5/(-4). Suppose -c*a + 38 = -4*u, 3*a + a + u - 22 = 0. Suppose -29 = -a*h + 61. List the prime factors of h. 3, 5 Let r(y) = y**3 - 6*y**2 + 2*y + 9. Let i(c) = -c**2 + 1. Let b(p) = -6*i(p) + r(p). List the prime factors of b(3). 2, 3 Suppose 43*c = 42*c + 1135. List the prime factors of c. 5, 227 Let f = 12 + -7. Suppose -f*w - 2*o = 170, -5*w + 2*o + 2*o = 200. Let p = 54 + w. What are the prime factors of p? 2, 3 Let x(c) = -5*c - 1 - 9*c - 3*c**2 + 2*c**2 + 4*c**2. Let s be x(6). Let b = s + -7. What are the prime factors of b? 2 Let n = -1 + 7. Let p be n/(-33) + (-52)/(-44). List the prime factors of ((-2)/(-6) + p)*3. 2 Suppose -2*v = v + 3*j + 93, j = 5*v + 167. List the prime factors of ((-3)/(-2))/(v/(-88)). 2 Let b(n) = 37*n + 355. List the prime factors of b(11). 2, 3, 127 Let b(x) = 49*x + 73. What are the prime factors of b(8)? 3, 5, 31 Let l be (-22)/(-55)*(-10)/(-2). Suppose -l - 46 = -4*v. What are the prime factors of v? 2, 3 Let s(p) = 13*p**2 + 8*p - 1. What are the prime factors of s(-10)? 23, 53 Suppose -d = 2*d + 3, -2*c + 3*d + 9 = 0. Suppose 0 = 4*n + 12, n - 126 = -c*y + 2*n. Let f = 14 + y. What are the prime factors of f? 5, 11 Let y(w) = 41*w - 5. Let q(j) = -j**3 - 6*j**2 - 4*j + 7. Let v be q(-5). List the prime factors of y(v). 7, 11 Let s = -73 + 139. List the prime factors of s. 2, 3, 11 Let w be ((-2)/(-1))/((-3)/(-318)*4). Let n = w + -42. What are the prime factors of n? 11 Suppose -2*j = 10, 4*s = 3*s + 3*j + 29. Let y be (-4)/s - (-102)/14. List the prime factors of y/(70/(-8))*-30. 2, 3 Suppose 9*v - 13911 = 7248. What are the prim
{ "pile_set_name": "DM Mathematics" }
is the cube root of 45554 to the nearest integer? 36 What is the square root of 1422 to the nearest integer? 38 What is 398 to the power of 1/9, to the nearest integer? 2 What is 31981 to the power of 1/9, to the nearest integer? 3 What is the third root of 21169 to the nearest integer? 28 What is 4429 to the power of 1/2, to the nearest integer? 67 What is the cube root of 499 to the nearest integer? 8 What is the ninth root of 13113 to the nearest integer? 3 What is the third root of 63374 to the nearest integer? 40 What is the third root of 3013 to the nearest integer? 14 What is the third root of 828 to the nearest integer? 9 What is 7712 to the power of 1/7, to the nearest integer? 4 What is the eighth root of 943 to the nearest integer? 2 What is 62802 to the power of 1/7, to the nearest integer? 5 What is the square root of 19922 to the nearest integer? 141 What is 6649 to the power of 1/10, to the nearest integer? 2 What is the square root of 131841 to the nearest integer? 363 What is 798 to the power of 1/2, to the nearest integer? 28 What is the eighth root of 923 to the nearest integer? 2 What is 6555 to the power of 1/6, to the nearest integer? 4 What is 82603 to the power of 1/10, to the nearest integer? 3 What is 4007 to the power of 1/3, to the nearest integer? 16 What is 317 to the power of 1/7, to the nearest integer? 2 What is 33016 to the power of 1/3, to the nearest integer? 32 What is the square root of 12498 to the nearest integer? 112 What is 874 to the power of 1/5, to the nearest integer? 4 What is 53448 to the power of 1/5, to the nearest integer? 9 What is the fourth root of 17394 to the nearest integer? 11 What is 891 to the power of 1/3, to the nearest integer? 10 What is 4205 to the power of 1/6, to the nearest integer? 4 What is 2078 to the power of 1/7, to the nearest integer? 3 What is 15209 to the power of 1/2, to the nearest integer? 123 What is 2516 to the power of 1/8, to the nearest integer? 3 What is 7343 to the power of 1/2, to the nearest integer? 86 What is the eighth root of 1072 to the nearest integer? 2 What is the fourth root of 143640 to the nearest integer? 19 What is the square root of 23855 to the nearest integer? 154 What is 3288 to the power of 1/6, to the nearest integer? 4 What is the seventh root of 49819 to the nearest integer? 5 What is the cube root of 5530 to the nearest integer? 18 What is 12516 to the power of 1/5, to the nearest integer? 7 What is the cube root of 845 to the nearest integer? 9 What is the seventh root of 15642 to the nearest integer? 4 What is 11494 to the power of 1/2, to the nearest integer? 107 What is the fifth root of 6578 to the nearest integer? 6 What is the eighth root of 8668 to the nearest integer? 3 What is the third root of 1605 to the nearest integer? 12 What is 24698 to the power of 1/2, to the nearest integer? 157 What is 867 to the power of 1/2, to the nearest integer? 29 What is the fourth root of 5271 to the nearest integer? 9 What is the square root of 79915 to the nearest integer? 283 What is the ninth root of 620 to the nearest integer? 2 What is 24890 to the power of 1/6, to the nearest integer? 5 What is the third root of 45717 to the nearest integer? 36 What is the cube root of 5843 to the nearest integer? 18 What is 817 to the power of 1/4, to the nearest integer? 5 What is 10240 to the power of 1/9, to the nearest integer? 3 What is 2394 to the power of 1/2, to the nearest integer? 49 What is 1145 to the power of 1/3, to the nearest integer? 10 What is 3848 to the power of 1/3, to the nearest integer? 16 What is 9653 to the power of 1/3, to the nearest integer? 21 What is 10928 to the power of 1/3, to the nearest integer? 22 What is the cube root of 876 to the nearest integer? 10 What is 36697 to the power of 1/3, to the nearest integer? 33 What is 610 to the power of 1/2, to the nearest integer? 25 What is the square root of 9744 to the nearest integer? 99 What is the square root of 252 to the nearest integer? 16 What is 2567 to the power of 1/2, to the nearest integer? 51 What is 1087 to the power of 1/2, to the nearest integer? 33 What is 31547 to the power of 1/3, to the nearest integer? 32 What is the third root of 110197 to the nearest integer? 48 What is the cube root of 7848 to the nearest integer? 20 What is the sixth root of 17180 to the nearest integer? 5 What is the square root of 1025 to the nearest integer? 32 What is the cube root of 851 to the nearest integer? 9 What is the square root of 73 to the nearest integer? 9 What is the square root of 1527 to the nearest integer? 39 What is the square root of 88129 to the nearest integer? 297 What is 354 to the power of 1/10, to the nearest integer? 2 What is 80377 to the power of 1/4, to the nearest integer? 17 What is 1473 to the power of 1/6, to the nearest integer? 3 What is 29501 to the power of 1/5, to the nearest integer? 8 What is 6804 to the power of 1/2, to the nearest integer? 82 What is the third root of 56666 to the nearest integer? 38 What is the seventh root of 70095 to the nearest integer? 5 What is 11352 to the power of 1/3, to the nearest integer? 22 What is 2825 to the power of 1/7, to the nearest integer? 3 What is the third root of 617 to the nearest integer? 9 What is the square root of 10357 to the nearest integer? 102 What is the cube root of 52675 to the nearest integer? 37 What is the seventh root of 4947 to the nearest integer? 3 What is the fourth root of 92881 to the nearest integer? 17 What is the fifth root of 2039 to the nearest integer? 5 What is 906 to the power of 1/10, to the nearest integer? 2 What is the square root of 1030 to the nearest integer? 32 What is the cube root of 1288 to the nearest integer? 11 What is the square root of 3740 to the nearest integer? 61 What is the third root of 1186 to the nearest integer? 11 What is 7542 to the power of 1/2, to the nearest integer? 87 What is the third root of 64301 to the nearest integer? 40 What is the eighth root of 5584 to the nearest integer? 3 What is 905 to the power of 1/10, to the nearest integer? 2 What is the fourth root of 5260 to the nearest integer? 9 What is 2049 to the power of 1/2, to the nearest integer? 45 What is the third root of 4574 to the nearest integer? 17 What is the fourth root of 11409 to the nearest integer? 10 What is the fifth root of 2951 to the nearest integer? 5 What is 22905 to the power of 1/9, to the nearest integer? 3 What is the ninth root of 422 to the nearest integer? 2 What is the square root of 1400 to the nearest integer? 37 What is 8698 to the power of 1/8, to the nearest integer? 3 What is the cube root of 20249 to the nearest integer? 27 What is the third root of 1082 to the nearest integer? 10 What is 6388 to the power of 1/9, to the nearest integer? 3 What is the sixth root of 6788 to the nearest integer? 4 What is the eighth root of 144 to the nearest integer? 2 What is the seventh root of 3448 to the nearest integer? 3 What is the third root of 2434 to the nearest integer? 13 What is the square root of 28736 to the nearest integer? 170 What is the square root of 257 to the nearest integer? 16 What is the square root of 472 to the nearest integer? 22 What is 353 to the power of 1/10, to the nearest integer? 2 What is the ninth root of 2326 to the nearest integer? 2 What is the fifth root of 2054 to the nearest integer? 5 What is the sixth root of 749 to the nearest integer? 3 What is the sixth root of 1361 to the nearest integer? 3 What is 152 to the power of 1/9, to the nearest integer? 2 What is 641 to the power of 1/10, to the nearest integer? 2 What is 3801 to the power of 1/3, to the nearest integer? 16 What is the cube root of 6262 to the nearest integer? 18 What is the ninth root of 3153 to the nearest integer? 2 What is 846 to the power of 1/5, to the nearest integer? 4 What is the third root of 387 to the nearest integer? 7 What is the cube root of 1361 to the nearest integer? 11 What is 30752 to the power of 1/4, to the nearest integer? 13 What is the seventh root of 58820 to the nearest integer? 5 What is the eighth root of 150616 to the nearest integer? 4 What is the square root of 5858 to the nearest integer? 77 What is the ninth r
{ "pile_set_name": "DM Mathematics" }
-4*i**2 - 316*i - 312 = 0. Calculate i. -78, -1 Solve 21*v**5 - 1560*v**4 + 29172*v**3 - 6654*v**2 - 29193*v + 8214 = 0 for v. -1, 2/7, 1, 37 Determine h, given that 9*h**5 + 21*h**4 - 27*h**3 - 21*h**2 + 18*h = 0. -3, -1, 0, 2/3, 1 Factor -12*u**3 - 312*u**2 - 303*u - 75. -3*(u + 25)*(2*u + 1)**2 Factor 2*c**3/15 + 14*c**2 + 1802*c/5 - 5618/15. 2*(c - 1)*(c + 53)**2/15 What is a in -4*a**4/3 + 32*a**3/3 + 292*a**2/3 + 592*a/3 + 112 = 0? -3, -2, -1, 14 Determine u, given that -2*u**3 + 62*u**2 - 356*u + 480 = 0. 2, 5, 24 Determine v so that 3*v**5 + 9*v**4 - 3*v**3 - 9*v**2 = 0. -3, -1, 0, 1 Factor -2*h**3/21 - 16*h**2/21 + 242*h/21 - 32/3. -2*(h - 7)*(h - 1)*(h + 16)/21 What is q in 52*q**5/7 - 44*q**4/7 - 16*q**3 - 16*q**2/7 = 0? -1, -2/13, 0, 2 Factor -3*c**3/4 - 243*c**2/2 - 5985*c - 93138. -3*(c + 38)**2*(c + 86)/4 Find c such that 98*c**5 + 3486*c**4 + 5104*c**3 - 4592*c**2 - 3552*c - 544 = 0. -34, -2, -2/7, 1 Factor -2*k**2/3 - 1676*k/3 + 1120. -2*(k - 2)*(k + 840)/3 Solve 75*m**5 + 615*m**4 + 1482*m**3 + 1554*m**2 + 747*m + 135 = 0. -5, -1, -3/5 Factor y**5/4 + 13*y**4/4 + 15*y**3/2. y**3*(y + 3)*(y + 10)/4 Factor 3*y**2 + 198*y + 3267. 3*(y + 33)**2 Solve -4*y**5/5 - 8*y**4/5 + 28*y**3/5 + 32*y**2/5 - 48*y/5 = 0. -3, -2, 0, 1, 2 Factor -u**3 + 15*u**2. -u**2*(u - 15) Factor -2*b**3/5 - 6*b**2 + 32*b/5. -2*b*(b - 1)*(b + 16)/5 Determine c, given that -4*c**2 - 204*c + 1888 = 0. -59, 8 Determine m so that -4*m**3/7 - 11632*m**2/7 - 8479680*m/7 - 33732864/7 = 0. -1452, -4 Determine a so that -28*a**4 - 456*a**3 - 1920*a**2 - 512*a = 0. -8, -2/7, 0 Factor 4*h**2/7 + 36*h/7 + 80/7. 4*(h + 4)*(h + 5)/7 Find m, given that m**3/5 - 118*m**2/5 - 869*m/5 - 150 = 0. -6, -1, 125 Find a such that -2*a**3 + 22*a**2 - 38*a + 18 = 0. 1, 9 Factor -4*j**3 - 120*j**2 - 432*j + 7776. -4*(j - 6)*(j + 18)**2 Find m such that 3*m**4 - 21*m**3 + 51*m**2 - 51*m + 18 = 0. 1, 2, 3 Factor 5*f**3 + 1365*f**2 + 124215*f + 3767855. 5*(f + 91)**3 Solve -2*p**3/5 + 2124*p**2/5 - 751896*p/5 + 88723728/5 = 0 for p. 354 Determine u so that 2*u**2/15 + 10432*u/15 + 13603328/15 = 0. -2608 Factor 4*w**4 - 28*w**3 + 32*w**2 + 64*w. 4*w*(w - 4)**2*(w + 1) Determine r so that -5*r**3 - 14*r**2 + 3*r = 0. -3, 0, 1/5 Find n such that -10*n**5/7 + 44*n**4/7 - 108*n**2/7 - 54*n/7 = 0. -1, -3/5, 0, 3 Factor -b**4 - 38*b**3 - 312*b**2. -b**2*(b + 12)*(b + 26) Factor 2*x**2 + 92*x. 2*x*(x + 46) Determine z, given that -2*z**4/9 + 14*z**3/3 + 10*z**2 + 46*z/9 = 0. -1, 0, 23 Factor 64*l**3 - 1328*l**2 - 335*l - 21. (l - 21)*(8*l + 1)**2 Solve 2*p**4 + 70*p**3 + 300*p**2 = 0 for p. -30, -5, 0 Determine h, given that -h**5 - 12*h**4 + 22*h**3 + 108*h**2 - 117*h = 0. -13, -3, 0, 1, 3 Factor -3*a**3 - 291*a**2 - 7200*a - 6912. -3*(a + 1)*(a + 48)**2 Factor 2*j**4/7 - 150*j**3/7 - 306*j**2/7 - 22*j. 2*j*(j - 77)*(j + 1)**2/7 Suppose 3*m**3/7 - 9*m**2/7 - 75*m/7 + 225/7 = 0. Calculate m. -5, 3, 5 Factor -6*c**3/5 + 46*c**2/5 + 16*c - 72/5. -2*(c - 9)*(c + 2)*(3*c - 2)/5 Find n, given that 3*n**5/7 + 33*n**4/7 + 102*n**3/7 + 72*n**2/7 = 0. -6, -4, -1, 0 Solve 3*t**5 - 15*t**4 - 150*t**3 + 270*t**2 + 2835*t + 3969 = 0. -3, 7 Let -4*z**3 + 236*z**2 - 3596*z + 3364 = 0. Calculate z. 1, 29 Find j, given that -3*j**2 + 111*j - 936 = 0. 13, 24 Factor -5*n**4 + 355*n**3 + 725*n**2 + 365*n. -5*n*(n - 73)*(n + 1)**2 Suppose -2*s**5/7 + 18*s**4/7 + 4*s**3/7 - 36*s**2/7 - 2*s/7 + 18/7 = 0. What is s? -1, 1, 9 Factor 4*t**2 + 1992*t + 248004. 4*(t + 249)**2 Factor -3*q**3 + 84*q**2 + 48*q - 1344. -3*(q - 28)*(q - 4)*(q + 4) Factor 2*w**4/5 - 96*w**3/5 + 828*w**2/5 + 7776*w/5 + 13122/5. 2*(w - 27)**2*(w + 3)**2/5 Find a such that -15*a**4 + 244*a**3 - 780*a**2 + 128*a + 192 = 0. -2/5, 2/3, 4, 12 Let 3*j**4 - 1221*j**3 - 12435*j**2 - 31275*j = 0. What is j? -5, 0, 417 Factor -10*k**4 + 6*k**3 + 24*k**2 + 8*k. -2*k*(k - 2)*(k + 1)*(5*k + 2) Let -j**2 + 2*j - 1 = 0. Calculate j. 1 What is d in 3*d**4/4 - 123*d**3/4 - 435*d**2/4 + 42891*d/4 = 0? -17, 0, 29 Let -3*x**3/7 - 72*x**2/7 - 384*x/7 = 0. What is x? -16, -8, 0 Factor -u**3/5 + 4*u**2/5 + 7*u/5 - 2. -(u - 5)*(u - 1)*(u + 2)/5 Determine p so that -6*p**3/5 - 86*p**2/5 + 156*p/5 - 64/5 = 0. -16, 2/3, 1 What is c in 3*c**4/8 + 57*c**3/2 + 1791*c**2/4 - 7257*c/2 + 25215/8 = 0? -41, 1, 5 Let -36*h**2 + 101980*h + 22664 = 0. Calculate h. -2/9, 2833 Find k such that k**5 - 11*k**3 + 18*k**2 - 8*k = 0. -4, 0, 1, 2 Find f, given that -3*f**3/4 - 19*f**2/4 + 21*f/2 + 4 = 0. -8, -1/3, 2 Suppose -t**2/3 - t + 4/3 = 0. What is t? -4, 1 Factor 5*g**2 - 105*g + 100. 5*(g - 20)*(g - 1) Determine k, given that -51*k**2/5 - 147*k/5 + 18/5 = 0. -3, 2/17 Factor 27*h**3 + 285*h**2 + 138*h - 120. 3*(h + 1)*(h + 10)*(9*h - 4) Factor 5*q**2 - 8230*q + 3386645. 5*(q - 823)**2 Find c such that -2*c**2 + 508*c - 32258 = 0. 127 Solve r**4/3 + 10*r**3/3 + 3*r**2 - 36*r - 36 = 0 for r. -6, -1, 3 Factor -2*s**2/7 - 146*s/7 + 88. -2*(s - 4)*(s + 77)/7 Factor -2*c**4 - 58*c**3 - 466*c**2 - 1310*c - 900. -2*(c + 1)*(c + 5)**2*(c + 18) Factor -3*b**3/5 - 12*b**2/5. -3*b**2*(b + 4)/5 Factor 2*w**3/3 + 8*w**2/3 - 40*w. 2*w*(w - 6)*(w + 10)/3 Factor 3*r**4 - 174*r**3 - 6156*r**2 - 59778*r - 185895. 3*(r - 85)*(r + 9)**3 Factor 2*d**4/7 - 6*d**3 - 90*d**2/7 - 46*d/7. 2*d*(d - 23)*(d + 1)**2/7 Determine f, given that -4*f**5/5 - 1072*f**4/5 + 8736*f**3/5 - 26368*f**2/5 + 35264*f/5 - 17664/5 = 0. -276, 2 Find l, given that -4*l**3 + 56*l**2 - 256*l + 384 = 0. 4, 6 Suppose -x**4/3 - x**3/3 + x**2 + x/3 - 2/3 = 0. What is x? -2, -1, 1 Solve -u**3/6 - 110*u**2/3 - 437*u/6 - 109/3 = 0. -218, -1 Determine r so that -3*r**3 - 837*r**2 - 1665*r - 831 = 0. -277, -1 Factor 4*i**2 - 268*i - 5312. 4*(i - 83)*(i + 16) Factor 3*i**4 + 2829*i**3 + 662661*i**2 - 2024913*i - 2684748. 3*(i - 4)*(i + 1)*(i + 473)**2 Factor 3*r**2 - 1476*r - 2964. 3*(r - 494)*(r + 2) Determine v so that -v**2/8 + v/2 + 5/8 = 0. -1, 5 Factor 2*l**2 + 104*l + 1352. 2*(l + 26)**2 Solve 2*s**2/7 + 34*s/7 + 144/7 = 0 for s. -9, -8 Factor o**5 - 10*o**4 + 34*o**3 - 36*o**2 - 27*o + 54. (o - 3)**3*(o - 2)*(o + 1) Factor -a**5 - 18*a**4 + 82*a**3 - 128*a**2 + 87*a - 22. -(a - 1)**4*(a + 22) Factor u**3 + 6*u**2 - 96*u - 640. (u - 10)*(u + 8)**2 Determine q so that 2*q**3 - 11230*q**2 + 15758496*q + 15769728 = 0. -1, 2808 Factor 3*d**2 - 483*d/4 + 30. 3*(d - 40)*(4*d - 1)/4 Let 6*f**2/11 + 5700*f/11 = 0. Calculate f. -950, 0 Factor n**4 - 17*n**3 + 15*n**2 + 17*n - 16. (n - 16)*(n - 1)**2*(n + 1) Factor q**2 - 9*q + 18. (q - 6)*(q - 3) Factor 3*b**3/4 - 219*b**2/2 + 15987*b/4. 3*b*(b - 73)**2/4 What is n in -3*n**4 - 75*n**3 - 342*n**2 + 1596*n - 1176 = 0? -14, 1, 2 What is g in 3*g**3/2 - 147*g**2/2 + 285*g/2 - 141/2 = 0? 1, 47 Determine w, given that 2*w**2/7 - 958*w/7 - 960/7 = 0. -1, 480 Let 3*f**4/8 - 15*f**3/4 + 9*f**2/2 + 15*f - 24 = 0. Calculate f. -2, 2, 8 Factor -3*t**4 - 444*t**3 - 17658*t**2 - 87756*t + 105861. -3*(t - 1)*(t + 7)*(t + 71)**2 Factor -u**3 - 18*u**2 + 19*u. -u*(u - 1)*(u + 19) Determine k so that -6*k**4/5 - 3367*k**3/5 - 3911*k**2/5 + 5038*k/5 - 224 = 0. -560, -2, 1/3, 1/2 Suppose -2*p**5/11 + 28*p**4/11 - 156*p**3/11 + 432*p**2/11 - 54*p + 324/11 = 0. Calculate p. 2, 3 What is r in -r**3/3 - 95*r**2/3 + 193*r/3 - 97/3 = 0? -97, 1 Let -3*p**2 + 1419*p + 2850 = 0. What is p? -2, 475 Suppose -2*a**3 + 60*a**2 - 54*a - 116 = 0. What is a? -1, 2, 29 Find i such that 5*i**3 - 35*i**2 + 50*i = 0. 0, 2, 5 Determine c, given that 5*c**4 + 25*c**3 + 25*c**2 - 25*c - 30 = 0. -3, -2, -1, 1 Factor 2*r**3/3 - 14*r**2/3 - 20*r/3 + 32/3. 2*(r - 8)*(r - 1)*(r + 2)/3 Solve -10*l**3/11 + 56*l**2/11 + 424*l/11 + 160/11 = 0. -4, -2/5, 10 Factor -v**4/2 - 4*v**3 - 10*v**2 - 8*v. -v*(v + 2)**2*(v + 4)/2 Suppose -4*i**4 - 112*i**3 - 884*i**2 - 1352*i = 0. What is i? -13, -2, 0 Suppose -w**2 - 18376*w - 84419344 = 0. What is w? -9188 Factor -8*j**3/5 - 78*j**2/5 - 36*j + 10. -2*(j + 5)**2*(4*j - 1)/5 Factor 5*d**3 + 235*d**2 - 240*d. 5*d*(d - 1)*(d + 48) What is i in -255*i**2 + 96*i - 9 = 0? 3/17, 1/5 Suppose -2*m**2 + 6*m + 80 = 0. Calculate m. -5, 8 Solve -45*v**5/4 - 2395*v**4/4 - 695*v**3 + 1045*v**2 + 260*v = 0. -52, -2, -2/9, 0, 1 Factor t**4 + 88*t**3. t**3*(t + 88) Factor -4*o**3/3 + 55*o**2/3 - 38*o/3 - 13/3. -(o - 1
{ "pile_set_name": "DM Mathematics" }
cked without replacement from {t: 3, l: 8}. What is prob of sequence lttl? 7/165 Two letters picked without replacement from {r: 1, s: 3, p: 1, q: 1, w: 3, f: 2}. Give prob of sequence qf. 1/55 Four letters picked without replacement from {h: 2, c: 4, x: 3}. What is prob of sequence xhch? 1/126 What is prob of sequence ww when two letters picked without replacement from {n: 2, w: 3}? 3/10 What is prob of sequence sj when two letters picked without replacement from jjjsjjsjssjjsjjjjj? 65/306 Three letters picked without replacement from bulul. What is prob of sequence ubl? 1/15 What is prob of sequence dt when two letters picked without replacement from {s: 2, a: 14, t: 1, m: 1, d: 2}? 1/190 Calculate prob of sequence kx when two letters picked without replacement from {q: 1, k: 4, x: 3}. 3/14 Three letters picked without replacement from {d: 3, e: 1, a: 4, q: 4, s: 1, x: 4}. Give prob of sequence asa. 1/340 Calculate prob of sequence iu when two letters picked without replacement from {t: 1, u: 2, f: 1, i: 1}. 1/10 What is prob of sequence na when two letters picked without replacement from rsrxrxaxsnrrr? 1/156 Three letters picked without replacement from {c: 13, o: 2, b: 1, q: 1, t: 2, n: 1}. Give prob of sequence bnt. 1/3420 What is prob of sequence uyau when four letters picked without replacement from muuyommamuomovm? 1/5460 What is prob of sequence vl when two letters picked without replacement from {v: 12, l: 3, t: 2, h: 3}? 9/95 Four letters picked without replacement from {d: 6}. What is prob of sequence dddd? 1 What is prob of sequence cffc when four letters picked without replacement from ycyfyycyyyfyyyyfyy? 1/6120 Calculate prob of sequence ipm when three letters picked without replacement from uuiupmmhu. 1/252 Two letters picked without replacement from {d: 3, u: 2}. Give prob of sequence uu. 1/10 Calculate prob of sequence dn when two letters picked without replacement from {n: 4, d: 2}. 4/15 What is prob of sequence xff when three letters picked without replacement from mxfmfftf? 1/28 What is prob of sequence yjay when four letters picked without replacement from {j: 3, x: 1, h: 3, r: 3, a: 5, y: 3}? 1/816 Calculate prob of sequence hp when two letters picked without replacement from oloohlp. 1/42 Calculate prob of sequence trtt when four letters picked without replacement from {k: 1, t: 3, r: 12}. 3/1820 Four letters picked without replacement from {w: 2, g: 8, n: 6, t: 1, h: 1}. What is prob of sequence whtn? 1/6120 Calculate prob of sequence pppp when four letters picked without replacement from pjppjppjjjppp. 14/143 Calculate prob of sequence pk when two letters picked without replacement from {l: 6, k: 2, s: 4, p: 1}. 1/78 Calculate prob of sequence xxh when three letters picked without replacement from {x: 5, h: 2}. 4/21 Calculate prob of sequence pwrw when four letters picked without replacement from {l: 2, p: 5, d: 6, w: 2, r: 1}. 1/4368 Four letters picked without replacement from rjjpnrjjrpnrprrryrj. What is prob of sequence yrrp? 7/3876 Two letters picked without replacement from ynuoavo. What is prob of sequence oy? 1/21 What is prob of sequence uh when two letters picked without replacement from uumuummhmmumuhuuu? 9/136 What is prob of sequence kkmk when four letters picked without replacement from bmbbmmbmbkbbbbkbbzmk? 1/3876 Calculate prob of sequence yky when three letters picked without replacement from nnnnnjaajakkknkyk. 0 Two letters picked without replacement from {v: 1, l: 1, i: 1}. What is prob of sequence vi? 1/6 Two letters picked without replacement from hhhhkkkh. What is prob of sequence hk? 15/56 Four letters picked without replacement from nfnwpnnnpp. Give prob of sequence fnnw. 1/252 Calculate prob of sequence mdmm when four letters picked without replacement from ttmtbmdtmmm. 1/132 Calculate prob of sequence tk when two letters picked without replacement from aaatbakbkbhaa. 1/78 Three letters picked without replacement from nnsyfnnsffnssygeyn. Give prob of sequence eng. 1/816 Calculate prob of sequence wfyf when four letters picked without replacement from ffcccfffjccwwywww. 5/2856 What is prob of sequence wg when two letters picked without replacement from whhhhwhhfgg? 2/55 Two letters picked without replacement from rrwtrrhwztwwwztrw. Give prob of sequence wz. 3/68 Calculate prob of sequence oroo when four letters picked without replacement from {r: 3, o: 8}. 7/55 Four letters picked without replacement from {o: 4, k: 3}. Give prob of sequence koko. 3/35 What is prob of sequence jknk when four letters picked without replacement from {m: 3, x: 4, c: 2, n: 3, j: 4, k: 1}? 0 Three letters picked without replacement from wbbcmbbmwbwbwcbmw. What is prob of sequence cwb? 7/408 Calculate prob of sequence rrx when three letters picked without replacement from xvxqrr. 1/30 Calculate prob of sequence id when two letters picked without replacement from {i: 11, d: 3}. 33/182 Three letters picked without replacement from bbbabcdl. What is prob of sequence bdb? 1/28 What is prob of sequence mm when two letters picked without replacement from fgfrfffmkmfkm? 1/26 Calculate prob of sequence gg when two letters picked without replacement from ggzzzzz. 1/21 Three letters picked without replacement from uuiiuizuziziiuiuuuu. What is prob of sequence zui? 21/646 What is prob of sequence nnn when three letters picked without replacement from {n: 4, g: 6}? 1/30 Calculate prob of sequence mw when two letters picked without replacement from hwmpvkk. 1/42 Two letters picked without replacement from {x: 1, e: 1, w: 1, o: 1, n: 1}. Give prob of sequence en. 1/20 What is prob of sequence er when two letters picked without replacement from reee? 1/4 Calculate prob of sequence hhh when three letters picked without replacement from {h: 4, k: 10}. 1/91 What is prob of sequence tzv when three letters picked without replacement from {v: 1, h: 1, z: 1, t: 1, l: 1}? 1/60 What is prob of sequence gcgi when four letters picked without replacement from zzgggzzicziccgpz? 3/1820 Four letters picked without replacement from wwwsswsswwssswswssww. Give prob of sequence wssw. 45/646 Calculate prob of sequence zrz when three letters picked without replacement from rzzrrzzrzzrr. 3/22 Four letters picked without replacement from {q: 1, k: 1, b: 2, f: 1}. Give prob of sequence bqkf. 1/60 Three letters picked without replacement from hhdhhhdhdh. Give prob of sequence hhd. 7/40 Four letters picked without replacement from {z: 4, a: 5, v: 6}. What is prob of sequence zzav? 1/91 Calculate prob of sequence ttst when four letters picked without replacement from {s: 15, t: 3}. 1/816 What is prob of sequence mmmx when four letters picked without replacement from mxmmmmmmmmmmmmm? 1/15 Four letters picked without replacement from lhlhshhs. What is prob of sequence slsh? 1/105 Calculate prob of sequence xxx when three letters picked without replacement from {p: 7, x: 1, k: 4, e: 2}. 0 Four letters picked without replacement from ffif. What is prob of sequence ffif? 1/4 Calculate prob of sequence yp when two letters picked without replacement from pyppyypypppyyippyppp. 21/95 Calculate prob of sequence ll when two letters picked without replacement from lllllllll. 1 What is prob of sequence pg when two letters picked without replacement from kpngnpngpnppppnpnnnp? 9/190 Two letters picked without replacement from wcuubbybiiyw. What is prob of sequence uy? 1/33 Two letters picked without replacement from {u: 3, k: 5, w: 3, h: 7, j: 1}. Give prob of sequence hh. 7/57 Four letters picked without replacement from wwwwwwwwwwwwtwtt. Give prob of sequence ttwt. 1/560 Two letters picked without replacement from bbbbbbbbb. Give prob of sequence bb. 1 What is prob of sequence xx when two letters picked without replacement from oossnoohsxoox? 1/78 What is prob of sequence wyvb when four letters picked without replacement from wbyywtwbvcwwbwww? 1/910 Two letters picked without replacement from uuhfmghf. What is prob of sequence mu? 1/28 What is prob of sequence nyyy when four letters picked without replacement from {y: 16, n: 4}? 112/969 Calculate prob of sequence uqu when three letters picked without replacement from uuuuqqquuuuquu. 15/91 Three letters picked without
{ "pile_set_name": "DM Mathematics" }
number? False Let w(v) = v**2 - v - 53. Let x be w(30). Let a = x + 840. Is a prime? True Let t(q) = -216*q + 13. Let v be t(-7). Suppose 0 = -5*i + v + 690. Is i a composite number? False Is (8 + -3 + 10310664/(-30))*-5 composite? True Suppose w = -3*x + 925, 3*x - 4*w + 145 = 1095. Suppose u - 7595 = -3*p - x, 4*p - 9718 = u. Is p a composite number? True Let i(s) = s + 53. Let m be i(-5). Let l be (-2 - m/(-22)) + (-527)/(-187). Suppose 0 = -l*o + 6*o + 3*b - 6612, 2*o - 4*b - 4402 = 0. Is o a prime number? True Let n(r) = -985*r - 12. Let g be n(-6). Suppose -g + 2 = -z - 4*f, -5*f + 11801 = 2*z. Suppose 368 = -4*w + z. Is w a prime number? False Suppose 8 = -4*t, 4*i - 5*t - 70434 = -6*t. Is i a composite number? False Is (271/(-4) + 0)/((-69)/22908) prime? False Is 251884 - (25/9 - ((-329)/63 + 5)) a composite number? True Let d = 87542 - 38301. Suppose 4*t - 86711 = -3*x - 21061, -4*x + d = 3*t. Is t a composite number? False Let c(f) = 711*f. Let o be c(1). Suppose 2*p - 4*a - 393 = o, -5*a + 2835 = 5*p. Suppose 2271 + p = l. Is l prime? True Let v be -2 + 2 - 3 - -7. Suppose -2346 = -v*a - 2*y, 2*y + 1763 = -0*a + 3*a. Is a a prime number? True Suppose 3*u - 3*a = 188895, 23*u + 314853 = 28*u + 2*a. Is u a composite number? False Let u(a) = 110*a + 28. Let h be u(-20). Let p = -1055 - h. Is p a composite number? False Let v be (14*(-8)/(-140))/(-4*(-7)/140). Let z(n) = -n**3 - 2*n**2 + 2*n + 3. Let o be z(-2). Is (-19533)/(-68) + o/v composite? True Suppose -5*v = -159 - 106. Suppose v*d = -352618 + 1219751. Is d prime? True Is (-25698102)/(-24) - 0 - (-5 + 200/32) composite? False Let m be 108/8*(-10)/(-15). Suppose 0 = 2*b + b - 3*n - 9, m = 3*b - 4*n. Suppose -165 = -b*c + 282. Is c a composite number? False Let k(r) = 87*r**2 + 82*r + 5. Let m(b) = -b**2 + 12*b - 8. Let p be m(10). Is k(p) a composite number? True Let t(s) = 164*s**3 - 7*s**2 + 9*s - 9. Let j be t(6). Let h be ((-1)/(-2))/(7 - 45/6). Is (j/12 - -4) + h/(-4) a prime number? True Suppose 7*w + 83 = -974. Let x be -2 + (-4 - -1) - w. Let l = 303 - x. Is l prime? True Let y be (-12)/(-21) - (-11)/(-7). Is 2949/27 - (21/(-27) - y) prime? True Let h(a) = 2*a**2 + 380. Let y be h(0). Suppose -9*u = -5*u - y. Is u prime? False Suppose 5 = 3*f + x - 7, 0 = -3*f + 5*x + 12. Suppose -2483 - 2441 = -f*p. Is p prime? True Let n(z) be the third derivative of 3*z**4/4 - 37*z**3/6 + 65*z**2. Is n(16) prime? True Suppose 0 = -0*b + 4*b - 44. Suppose 5342 = -b*t + 29311. Is t composite? False Suppose 8*q + 5*q + 11310 = 0. Is q/(-45)*(-66)/(-4) a prime number? False Let g(v) = 400*v - 99. Let u be g(11). Let s = u + 1284. Is s composite? True Suppose 3*t = 10*t + 242*t - 83621919. Is t a prime number? False Let h = -1290 + 1294. Suppose -l = 5*m - 2277, 3*m - 11406 = -5*l - m. Suppose 2*d = -h*y + 2306, -4*y = -3*d + d + l. Is d composite? True Let z = 87 + -87. Suppose 5*x - 3*r - 4207 = -6*r, z = 4*r - 16. Is x composite? False Suppose 2*n = 5*g - n + 16, 3*g - 2*n + 10 = 0. Let r be (1 - (-1)/g*6) + 150. Suppose 26*s - 22*s = r. Is s a prime number? True Let o be (7 - 1732) + (-2 - 2/(-2)). Let s = 3063 + o. Is s a composite number? True Is (-25121919)/(-4552) - (7/8 + -1) composite? False Suppose m - 5*i = 738306, 0 = 34*i - 30*i - 20. Is m composite? True Let a(x) = -143*x + 42. Let t be (-6)/(-4)*20/(-6). Let k(m) = 215*m - 63. Let s(w) = t*k(w) - 7*a(w). Is s(-5) composite? True Suppose 0 = -13*x - 5*x - 40323 + 254289. Is x a prime number? True Let v(x) = -x**2 + 27*x - 94. Let c be v(17). Suppose 0 = -64*m + c*m - 38652. Is m a prime number? True Let j(x) = -18*x - 3. Let o be j(-3). Let d = -24 + o. Is ((-134)/(-3))/(-4 - (-114)/d) a prime number? False Let t be 3378/42 - (-9)/(-21). Let y be 32/t - (-7)/(-5). Let j(g) = 810*g**2 - g. Is j(y) a composite number? False Let k(q) be the second derivative of q**4/12 - 14*q**3/3 - 8*q**2 - 3*q. Let x be k(-19). Suppose 10 = 5*t, -5*t + x = -0*d + 3*d. Is d a composite number? True Let j = -49 - -48. Let w be (20/16)/((-3)/12*j). Suppose 4*f + 4*p = p + 451, -570 = -5*f - w*p. Is f a composite number? False Suppose -4*q - 2968 = -4*m, -6*q = -4*q - m + 1485. Let a = q + -76. Is -1 - a - (-7)/(35/(-15)) a composite number? True Suppose 4*a - 300*u = -305*u + 668582, 334294 = 2*a + 2*u. Is a composite? True Let b(h) = 11*h**2 - 9*h - 13. Let f = -71 - -74. Is b(f) a composite number? False Suppose 0 = a + 1, 4*o - 3*a - 2687 = -0*o. Suppose -2524 = -d - o. Is d a composite number? True Let p(v) = -v**3 - 15*v**2 + 17*v - 8. Let g be p(-16). Let s(z) = -13*z + 65. Is s(g) a composite number? True Suppose -83*l + 25160 = -91*l. Let j = -1152 - l. Is j a composite number? False Let v(l) = 319*l + 76. Let a be v(7). Let f = -1638 + a. Is f a composite number? True Suppose 120*s - 122*s + 23020 = 0. Suppose -4*g = 6*g - s. Is g a prime number? True Let o(m) be the second derivative of -m**3/3 + 57*m**2/2 + 4*m. Let f = 3 - 3. Is o(f) a prime number? False Let w(m) = m**3 + 21*m**2 - 21*m - 7. Let a be w(-17). Is -5*(-2)/(20/a) composite? True Let c(f) = -80*f + 7. Let z be 1*6/(-6) + 0. Is c(z) a composite number? True Is (-1)/((-3)/(-4816119)*-7) a composite number? True Suppose -4*d = 7*d - 44. Suppose -4*w + d*o + 83136 = 0, 2*w + 3*o = 6*w - 83135. Is w composite? True Let r = 98459 + 94192. Is r a prime number? False Suppose 0 = 2*z - 24 + 4. Suppose 7*r - 18 = z*r. Is r/8 + (-18137)/(-28) a composite number? False Let x be (-1623)/(-2) - (-3)/(-6). Suppose 6855 = 5*z + 3*c, -3*c = 2*c - 25. Let v = z - x. Is v a composite number? False Let d(v) = 10*v**2 - 31*v + 83. Let y be d(-19). Let b = 6381 - y. Is b prime? True Let i = 6526 - 3367. Suppose -i = -6*z + 4959. Suppose -4*a - z = -3*o, -2255 = -4*o - o - a. Is o composite? True Let d be (-24)/(-32)*-4 + 1*8. Is 11/((-66)/15468)*d/(-2) a prime number? False Suppose x + 2968 = 4*o, 14 - 2 = 3*x. Is o a prime number? True Suppose 137*a + 58 = 139*a. Suppose a*v = 48553 + 55818. Is v prime? False Let d = -859 - -1205. Suppose -10*l = -514 - d. Is l a composite number? True Suppose -3*m = -40 + 22. Suppose 2*o = 4*g - 28248, -g - 35301 = -m*g - 2*o. Is g a prime number? False Let w = -5 + 20. Let i be 3 + (-246)/w*(4 - -1). Let b = i - -132. Is b a composite number? False Suppose -143 = -3*t + 82. Suppose -3*y + 6*y - t = 0. Is (-6692)/(-10) + -1 + 20/y composite? True Is (16/15 - (-6)/(-15))/((-84)/(-17743446)) prime? False Suppose 0 = 6*g + 57077 - 13745. Let y = g + 18946. Suppose -6*c = -18*c + y. Is c a prime number? True Suppose 2*s - 145182 = -5*f, f + 92380 = -4*s + 382708. Is s composite? True Suppose -10 = -2*p - 12. Let f be ((-6)/(-4) + p)/(19/152). Suppose 3*y = 5*d + y - 8467, 2*d - f*y - 3390 = 0. Is d prime? True Let n be (-32)/(-8) + (-16)/8. Suppose -k + 4011 + 16309 = q, 0 = -n*q + 5*k + 40661. Is q a prime number? True Suppose -2*r + 728671 = 3*l, 4*l + 19*r - 18*r - 971553 = 0. Is l composite? False Suppose 5*a - 136 = -2221. Suppose 0 = -z - 24*f + 20*f, -3*f = -5*z. Is 1*(z - (a + (-8)/4)) a prime number? True Let q(u) = -584*u**3 - u - 1. Let a be q(-1). Suppose -4*g - 85*d - 862 = -83*d, 2*g - 3*d + 411 = 0. Let l = a + g. Is l a composite number? True Let i be 1*(4/6)/(14/(-51261)). Let z = -822 - i. Is z prime? True Suppose -5*f - 6 = -2*z - 7*f, -4 = -2*f. Let y(v) = 2860*v**3 - 4*v**2 + 5*v. Is y(z) a composite number? False Suppose -129555 = 7*i - 10*i. Suppose 4*f + 8652 = -m, -f - i = 5*m + 4*f. Is (-6)/18 + m/(-12) prime? True Suppose 0 = -2*j - 3*j. Suppose j = -3*v - 6374 + 18275. Is v composite? False Let z = 5108 + 5530. Let g = -857 + z. Is g prime? True Let p(s) = 15*s**2 + 19*s + 517. Is p(78) a composite number? True Let i(u) = -u**3 + 2*u**2 + 4*u. Let y(c) = c + 13. Let g be y(-10). Let v be i(g). Suppose -v*j = -10*h + 5*h + 2467, 0 = 4*j + 16. Is h a prime number? True Let t(g) be the second derivative of 25*g**4/6 - 13*g**3/6 - 7*g**2 - 31*g. Is t(-4) a composite number? True Let z = -2911 + 17074. Is z composite? True Let s(h) = 5*h**3 + 6*h**2 + h + 29. Let d be s(10). Let r = d - -5558. Is r a composite number? False Let n be (190/(-57))/((-3)/8136). Let o = 32781 - n. Is o a composite number? False Let x(f) = 8961*f**2 - 41*f
{ "pile_set_name": "DM Mathematics" }
97, -131197? 2*z**2 - 22*z - 131137 What is the j'th term of -17151958, -17151916, -17151874? 42*j - 17152000 What is the z'th term of -41613, -166494, -374641, -666060, -1040757, -1498738, -2040009, -2664576? -z**3 - 41627*z**2 + 7*z + 8 What is the v'th term of 15523, 15797, 16059, 16303, 16523, 16713, 16867? -v**3 + 281*v + 15243 What is the o'th term of -1970, -5754, -9538, -13322? -3784*o + 1814 What is the w'th term of -921, -5131, -16545, -38763, -75385, -130011, -206241, -307675? -600*w**3 - 2*w**2 - 4*w - 315 What is the p'th term of -8829, -16982, -25129, -33270? 3*p**2 - 8162*p - 670 What is the b'th term of -228391, -456123, -683855? -227732*b - 659 What is the x'th term of -31343, -31313, -31265, -31199, -31115, -31013? 9*x**2 + 3*x - 31355 What is the v'th term of 572589, 572457, 572095, 571389, 570225, 568489? -19*v**3 - v**2 + 4*v + 572605 What is the n'th term of -5619, -9357, -13121, -16923, -20775, -24689? -2*n**3 - n**2 - 3721*n - 1895 What is the x'th term of -3168342, -3168346, -3168350? -4*x - 3168338 What is the b'th term of 896958, 3587919, 8072848, 14351739, 22424586, 32291383, 43952124, 57406803? -b**3 + 896990*b**2 - 2*b - 29 What is the d'th term of 291028, 1164046, 2619076, 4656118, 7275172? 291006*d**2 + 22 What is the u'th term of -44260, -45293, -46990, -49351, -52376, -56065, -60418? -332*u**2 - 37*u - 43891 What is the b'th term of -28785, -29546, -30307, -31068, -31829? -761*b - 28024 What is the m'th term of 34392076, 34392075, 34392074, 34392073? -m + 34392077 What is the o'th term of 437566, 1750223, 3937986, 7000855, 10938830, 15751911, 21440098? 437553*o**2 - 2*o + 15 What is the r'th term of -28788, -57456, -86124, -114792? -28668*r - 120 What is the v'th term of 12255922, 12255945, 12256016, 12256159, 12256398, 12256757, 12257260, 12257931? 4*v**3 - 5*v + 12255923 What is the q'th term of -5395, -57387, -198513, -473341, -926439, -1602375? -7428*q**3 + q**2 + q + 2031 What is the l'th term of 14815101, 29630226, 44445353, 59260482, 74075613, 88890746? l**2 + 14815122*l - 22 What is the j'th term of -142447, -569362, -1280887, -2277022, -3557767? -142305*j**2 - 142 What is the u'th term of 2432, 2629, 2830, 3035, 3244? 2*u**2 + 191*u + 2239 What is the m'th term of 4433, 4458, 4557, 4778, 5169? 8*m**3 - 11*m**2 + 2*m + 4434 What is the f'th term of -998, -4258, -10156, -19070, -31378, -47458? -63*f**3 - 941*f**2 + 4*f + 2 What is the d'th term of 1599, 3212, 4813, 6390, 7931, 9424, 10857, 12218? -2*d**3 + 6*d**2 + 1609*d - 14 What is the f'th term of -8578, -17042, -25390, -33622, -41738, -49738? 58*f**2 - 8638*f + 2 What is the b'th term of -32656, -65330, -98024, -130744, -163496, -196286, -229120, -262004? -b**3 - 4*b**2 - 32655*b + 4 What is the p'th term of -3092275, -3092299, -3092323, -3092347? -24*p - 3092251 What is the g'th term of -81279, -96343, -111407, -126471, -141535? -15064*g - 66215 What is the p'th term of -157, -45, 161, 479, 927, 1523, 2285, 3231? 3*p**3 + 29*p**2 + 4*p - 193 What is the u'th term of 10452, 12165, 13878, 15591? 1713*u + 8739 What is the i'th term of -37686330, -75372661, -113058992? -37686331*i + 1 What is the i'th term of -2356, -17902, -59176, -138748, -269188? -2095*i**3 - 294*i**2 + i + 32 What is the m'th term of -2032371, -2031959, -2031547, -2031135? 412*m - 2032783 What is the n'th term of 5975, 11870, 17769, 23672, 29579, 35490? 2*n**2 + 5889*n + 84 What is the y'th term of 8815113, 8815117, 8815123, 8815131, 8815141, 8815153, 8815167? y**2 + y + 8815111 What is the i'th term of 26023, 34164, 42291, 50398, 58479? -i**3 - i**2 + 8151*i + 17874 What is the i'th term of -389637, -779340, -1169043, -1558746, -1948449, -2338152? -389703*i + 66 What is the d'th term of -2675, -21749, -73789, -175361, -343031? -2761*d**3 + 83*d**2 + 4*d - 1 What is the q'th term of -3954087, -3953643, -3953199, -3952755, -3952311? 444*q - 3954531 What is the f'th term of 1926, 7975, 18050, 32151? 2013*f**2 + 10*f - 97 What is the t'th term of -226303, -452495, -678671, -904825, -1130951, -1357043? t**3 + 2*t**2 - 226205*t - 101 What is the a'th term of -48651665, -48651663, -48651661, -48651659? 2*a - 48651667 What is the j'th term of -719172, -1438358, -2157544? -719186*j + 14 What is the b'th term of -8676858, -17353718, -26030578? -8676860*b + 2 What is the a'th term of 8257289, 16514574, 24771873, 33029192, 41286537? a**3 + a**2 + 8257275*a + 12 What is the h'th term of 322465, 1289834, 2902117, 5159314, 8061425? 322457*h**2 - 2*h + 10 What is the l'th term of -41635, -40970, -40309, -39652, -38999, -38350, -37705? -2*l**2 + 671*l - 42304 What is the l'th term of -812828, -1625659, -2438492, -3251327, -4064164, -4877003, -5689844? -l**2 - 812828*l + 1 What is the d'th term of -2631371, -2631601, -2631831, -2632061, -2632291? -230*d - 2631141 What is the x'th term of 2192176, 2192459, 2192756, 2193073, 2193416? x**3 + x**2 + 273*x + 2191901 What is the r'th term of -171881, -172037, -172297, -172661, -173129, -173701? -52*r**2 - 171829 What is the h'th term of -666759, -666776, -666793, -666810, -666827, -666844? -17*h - 666742 What is the u'th term of -15846, -15515, -15184? 331*u - 16177 What is the f'th term of 12760, 9815, 6870, 3925, 980, -1965? -2945*f + 15705 What is the j'th term of 3772331, 3772330, 3772329, 3772328, 3772327? -j + 3772332 What is the m'th term of 375, 253, 27, -321, -809? -3*m**3 - 34*m**2 + m + 411 What is the m'th term of -4832, -6985, -10572, -15593? -717*m**2 - 2*m - 4113 What is the c'th term of -4565, -17839, -39969, -70961, -110821, -159555, -217169, -283669? -c**3 - 4422*c**2 - c - 141 What is the w'th term of -11413083, -11413122, -11413163, -11413206, -11413251? -w**2 - 36*w - 11413046 What is the g'th term of -8367, -15276, -22185, -29094? -6909*g - 1458 What is the v'th term of -128, -999, -3378, -8021, -15684, -27123, -43094, -64353? -126*v**3 + 2*v**2 + 5*v - 9 What is the a'th term of -34595, -69593, -104593, -139595? -a**2 - 34995*a + 401 What is the j'th term of -8841, -17758, -26767, -35862, -45037, -54286, -63603, -72982? j**3 - 52*j**2 - 8768*j - 22 What is the p'th term of -4594, -8846, -13070, -17266? 14*p**2 - 4294*p - 314 What is the w'th term of -23637, -94964, -213843, -380274, -594257, -855792, -1164879? -23776*w**2 + w + 138 What is the g'th term of 38506345, 38506360, 38506373, 38506384, 38506393? -g**2 + 18*g + 38506328 What is the d'th term of -60747447, -60747464, -60747481, -60747498, -60747515, -60747532? -17*d - 60747430 What is the d'th term of 18304, 96420, 308446, 721336, 1402044, 2417524, 3834730? 11159*d**3 + d**2 + 7144 What is the d'th term of 294791, 1178938, 2652507, 4715492, 7367887, 10609686, 14440883? -d**3 + 294717*d**2 + 3*d + 72 What is the f'th term of -807, -669, -513, -333, -123, 123, 411, 747? f**3 + 3*f**2 + 122*f - 933 What is the p'th term of -13062632, -13062639, -13062646, -13062653, -13062660? -7*p - 13062625 What is the w'th term of 900, 1672, 2442, 3204, 3952, 4680? -w**3 + 5*w**2 + 764*w + 132 What is the z'th term of 455, -832, -5287, -14494, -30037, -53500, -86467? -264*z**3 + 561*z + 158 What is the v'th term of -2658, -3981, -6192, -9291, -13278? -444*v**2 + 9*v - 2223 What is the q'th term of 115, 315, 717, 1423, 2535, 4155, 6385, 9327? 17*q**3 - q**2 + 84*q + 15 What is the l'th term of 13401, 24528, 35653, 46776, 57897, 69016, 80133? -l**2 + 11130*l + 2272 What is the d'th term of -4991081, -9982191, -14973301, -19964411, -24955521? -4991110*d + 29 What is the q'th term of -54985, -56915, -58845? -1930*q - 53055 What is the j'th term of 45834, 42575, 39316, 36057? -3259*j + 49093 What is the x'th term of -105299, -210789, -316463, -422321? -92*x**2 - 105214*x + 7 What is the f'th term of -167555246, -167555247, -167555248, -167555249, -167555250? -f - 167555245 What is the r'th term of 2291, 2064, 1709, 1226, 615, -124? -64*r**2 - 35*r + 2390 What is the b'th term of -25048, -24489, -23942, -23413, -22908, -22433? -b**3 + 566*b - 25613 What is the l'th term of 17661395, 35322789, 52984183, 70645577? 17661394*l + 1 What is the y'th term of 10915, 23449, 35993, 48547, 61111? 5*y**2 + 12519*y - 1609 What is the l'th term of 5931, 5730, 5401, 4944? -64*l**2 - 9*l + 6004 What is the
{ "pile_set_name": "DM Mathematics" }
tor of a? True Suppose -2*p - 4*y = -100, -5*y - 194 = -5*p - y. Let l be (-7 - (-330)/p)/((-2)/(-7)). Suppose 2 = -5*h - l, 0 = i + 3*h - 165. Is i a multiple of 14? True Suppose 299 = -10*k - 561. Let j = 208 + k. Is j a multiple of 4? False Let j = -2 - 1. Let n(k) be the third derivative of -11*k**4/12 - k**3/6 - 322*k**2. Is 5 a factor of n(j)? True Let c(w) = 26*w + 167. Let a be c(-6). Suppose 15*s = a*s + h + 179, 0 = -s - 2*h + 38. Is s a multiple of 24? False Suppose -12 = 4*n - 0*n, -18 = -3*y - 3*n. Suppose 201 - 1077 = -4*d. Is 11 a factor of ((-6)/y)/((-1)/d)? False Let b(s) = -s**2 - 10*s - 19. Let l be b(-7). Suppose l*i = -52 - 24. Is 15 a factor of (4 + -5 - 0)*i? False Let j be (-3 - (-115)/35) + 19/7. Suppose -i = j*i. Suppose 9*v = -i*v + 180. Is 12 a factor of v? False Let p = -285 + 12. Let n = -144 - p. Does 43 divide n? True Let r be 24/9 + -2 - (-4)/12. Is 1*((r - -2) + 2415/21) a multiple of 6? False Let m be -8 - 11/(66/510). Let d = m - -322. Is 79 a factor of d? False Suppose 2*d - 301 = -273. Does 61 divide (3/2)/(d/5124)? True Let n(g) = g**2 - 6*g + 15. Let w be n(3). Let y(k) = 13*k**2 - 10*k + 2. Does 46 divide y(w)? False Does 122 divide (4 - (6 + 3288/(-42)))/(7/637)? False Suppose -o = y - 2373, 4*o = 5*y - 16630 + 4738. Suppose 4*u = 4*x + y, -3*x + 1160 = 2*u + 2*x. Is u a multiple of 17? False Suppose 24*u + 52844 = 1346516. Is u a multiple of 266? False Let q = -4208 - -16036. Does 55 divide q? False Let o(g) be the second derivative of 43*g**4/24 + 7*g**3 - 13*g**2/2 - 2*g - 2. Let c(w) be the first derivative of o(w). Does 32 divide c(6)? False Let t = -20 + -25. Let z be -4*(t/20)/((-6)/(-10)). Suppose 39 = 2*s + z. Is s a multiple of 6? True Suppose -98*h + 17307 = -17973. Does 2 divide h? True Let o(q) = q**3 + 11*q**2 - 12*q + 7. Let k be o(-12). Let f(c) = c**2 + 2*c + 5. Let n be f(k). Is n/((2 - -2)/4) + -1 a multiple of 5? False Let k(b) = 4 - 5*b**2 + 5*b**2 - b**2 - 13*b - 2. Let p be k(-13). Suppose -p*w - 11 = -297. Is 16 a factor of w? False Let r(l) = -l - 12. Let z(s) = 3*s + 25. Let v(f) = -5*r(f) - 2*z(f). Let d be v(7). Suppose d*u = 6*u + 3*j - 108, 182 = 5*u + 4*j. Does 11 divide u? False Let l be 3/5 + -1 - (-534)/10. Let i = -50 + l. Suppose 2*m = -i*m + 90. Is 13 a factor of m? False Suppose -711 = -r + 4*a, 5 + 4 = -3*a. Suppose 0 = -18*z + r - 195. Does 14 divide z? True Let w(o) = 255*o**2 - 334*o - 2338. Is w(-7) a multiple of 5? True Let j(g) = 5*g - 9. Let h be j(3). Suppose -s - h*y = -5*y - 208, 5*s = -3*y + 1046. Does 19 divide s? False Let p(v) = 20*v**2 - 74*v - 50. Is p(-15) a multiple of 96? False Does 11 divide ((-300)/7)/(72/(-1512))? False Let y(n) = -n**2 - 10*n + 1188. Suppose 0 = -l + 2*l. Is y(l) a multiple of 27? True Let z = 51 - 58. Let b = -114 + z. Let a = b - -271. Is a a multiple of 25? True Let p(j) = -j**3 + 12*j**2 - 11*j + 1. Suppose -a - 1 = 0, -10 = -5*i + a + 91. Suppose -i = 4*m - 60. Does 13 divide p(m)? True Let u(d) = d**2 - 24*d - 22. Let f be u(25). Suppose 4*w - 919 = f*r, -r - 3*r - 1150 = -5*w. Is 10 a factor of w? False Let v(h) = 3*h**2 + 4*h + 4. Let k(y) = 13*y**2 + 15*y + 17. Let x(g) = -2*k(g) + 9*v(g). Let p be x(-4). Is 16 - (p - -3)/1 a multiple of 9? False Let j = 2050 + -1104. Does 2 divide j? True Let b(y) = y**3 - 2*y**2 + 112*y - 835. Is 5 a factor of b(24)? True Suppose 0*h - 2*h = z - 45, -3*h = z - 66. Suppose -5*k - h = -241. Suppose 39*u - k*u = -780. Is 26 a factor of u? True Suppose -26*n = -30*n + 3*h + 2142, 3*n - 3*h - 1602 = 0. Is n a multiple of 45? True Suppose 0 = -4*t + 2*a - 2 + 34, 5*a = 4*t - 26. Let l = 4 - -320. Suppose t*v + 0*v - l = 0. Is v a multiple of 18? True Let w(a) = a**3 - 4*a**2 + 2*a + 32. Let f be w(7). Suppose -40*i - 2*o + f = -39*i, 820 = 4*i - 4*o. Is 36 a factor of i? False Let n = 5797 - 2180. Is n a multiple of 11? False Let l = 466 - 295. Suppose -v = -1, 0 = 4*f - 2*v - l - 67. Does 8 divide f? False Is 30 a factor of 15 - ((-132)/(-12) + -7036)? False Suppose -2*q - 3*g + 24 = 0, q + 3*g - 6*g = 3. Suppose q*d = 190 + 1322. Is d a multiple of 24? True Is (-7792)/(9 - 1)*-1 a multiple of 11? False Let i = -28 + 12. Let m(a) = -15*a - 48. Does 6 divide m(i)? True Is 11 a factor of ((-15)/45)/((-3 - 69628/(-13926)) + -2)? True Suppose -265 = -2*q + 2*d + 9, 3*d - 669 = -5*q. Suppose 131*n - q*n + 52 = 0. Is 2 a factor of n? False Suppose 34*y + 1530 = -4*v + 31*y, y - 1903 = 5*v. Let g be 8/(-20) + (-1646)/10. Let k = g - v. Is 18 a factor of k? True Suppose 4*d - 15997 + 6457 = 0. Suppose d = 4*s + l + 442, 5*s + 5*l - 2425 = 0. Is s a multiple of 54? True Let o(z) = -834*z - 2708. Does 10 divide o(-7)? True Let b(p) be the third derivative of 7*p**5/120 - 5*p**4/2 - 5*p**3/3 - 25*p**2. Let l(n) be the first derivative of b(n). Is l(14) a multiple of 19? True Let p be 2 + (6100/225 - (-1)/(-9)). Suppose -y - 2*u + 651 = 0, 0 = -p*y + 34*y + u - 3264. Is 14 a factor of y? False Suppose 8430 = 58*y - 73*y. Let k = 1726 + y. Is k a multiple of 53? False Suppose 228253 + 418326 = 171*q + 25165. Is q a multiple of 7? False Suppose -12*r = -9*r. Is 26 a factor of (-8)/((r + -5)/600)? False Suppose 0 = -4*w + 9*w - 15, -4*w - 26 = -2*r. Let b = 12 - r. Let j(d) = d + 27. Is j(b) a multiple of 15? False Let u = -20 - -22. Suppose -u*n = 6*n - 144. Suppose 2*r = -n + 64. Is r a multiple of 23? True Suppose -976 - 408 - 236 = -15*k. Does 2 divide k? True Let z be (-3)/(-1) + 375*(-10)/3. Let y = z - -2022. Is 25 a factor of y? True Let z = -734 - -4515. Is z a multiple of 24? False Let d(y) = -y**2 - 21*y + 57. Let o be d(-24). Let c = -21 - o. Is 31 a factor of (3/c + -2)/((-4)/296)? False Let k(q) = 3*q**2 + 34*q + 623. Is k(-29) a multiple of 19? False Let o be (55/(-15) + 5)*171/12. Let c = -12 + 125. Suppose 2*j - o = c. Does 22 divide j? True Let p(o) = 4*o**2 - 2473. Does 90 divide p(-57)? False Let s(t) = 3*t + 16. Let r be s(-4). Suppose -r*z + 3*d = -453, -d = -0*d - 5. Is z a multiple of 9? True Suppose 340117 + 311005 = 208*k - 116398. Is 15 a factor of k? True Let u(f) = f**3 - 5*f**2 - 3*f + 3. Let h be u(7). Suppose 4*n + 3*k - 2*k + h = 0, 4*k = -n - 20. Is 6 a factor of (52/n)/((-1)/5)? False Suppose -55*r + 248880 = 66*r - 104*r. Is 24 a factor of r? True Suppose u - 280 = -288. Let w = u - -151. Does 13 divide w? True Let q(d) be the first derivative of d**3/3 - d**2/2 + 68*d - 55. Is 15 a factor of q(-20)? False Let j be 5/10 - ((-123)/6)/(-1). Let q = 148 + j. Does 4 divide q? True Let s(l) = -l**3 - 13*l**2 - 4*l + 16. Let z be s(-13). Suppose -3*m - 13 = -5*r - 4*m, -m + 7 = 2*r. Suppose -3*f + 0 = 6, 0 = -r*n + 4*f + z. Does 3 divide n? True Does 12 divide 2827 + (194/(-22) - 70/385)? False Is 36 a factor of 8/12*(-5 + 21119)? True Suppose k = -4*r - 84, 5*k + 347 = r - 73. Let b be (-4)/6 - k/(-9). Let s(m) = -m**2 - 16*m - 19. Does 8 divide s(b)? False Suppose -16*k = -3*k + 39. Let l(j) = 83*j + 13. Let a be l(k). Let v = -128 - a. Does 6 divide v? True Let r(j) = 27*j**2 + 4. Suppose -g = 5*i - 691, -255 = -5*i + 2*g + 433. Let z = i - 140. Is r(z) a multiple of 14? True Let l(k) = 46*k**2 - 85*k + 10. Is 21 a factor of l(11)? True Suppose 26941*b - 1446856 = 26902*b + 574085. Is 69 a factor of b? True Let v(c) = -943*c - 325. Is 61 a factor of v(-6)? False Let w(c) = -5*c**3 - 59*c - 176. Is w(-11) a multiple of 36? True Let w(f) = 2*f + 43. Let p be w(-20). Suppose -5*n = -n, -r = -p*n - 353. Suppose 5*o = 537 + r. Is o a multiple of 23? False Let k(r) = r**2 + 2*r + 3. Let y be k(-3). Suppose y*o + 2*o - 408 = 0. Suppose 5*z - 60 = -5*x, -z - o = -4*x - 4*z. Is 15 a factor of x? True Let a = 2681 - 1259. Suppose 0 = 12*c - a - 486. Is c a multiple of 2? False Suppose -201*u - 6944 + 79394 = -183*u. Is u a multiple of 3? False Is 296 a factor of (32/10)/(222/246420)? True Suppose -4*f = -31*f + 437853 + 660075. Is f a multiple of 68? True Let m(s) = -7*s**2 - 41*s + 90. Let t(i) = 3*i**2 + 20*i - 44. Let y(q) = -2*m(q) - 5*t(q). Is 17 a factor of y(-15)? True Let k(w) = -w**3 - 20*w**2 - 7*w + 32. Let c be k(-21). Suppose -414 - c = -11*x. Does 7 divide x? False Let d(m) = 249*m - 3180. Is 9 a factor of d(26)? True Let p = -121 - -131. Let i(f) = -4*f**2 +
{ "pile_set_name": "DM Mathematics" }
True Let u = 67 + -66.69. Let o = u + -0.11. Let i = 0.2 - o. Is -1/4 at least as big as i? False Let a = 23.7 - 24.05. Let r = -0.25 - a. Which is bigger: r or -97? r Let i = 196.04 + -179.1. Let z = i - 17. Let k = 17.51 - 22.51. Which is smaller: z or k? k Let p = -5683 + 108057/19. Suppose -676 = 891*s - 1060*s. Which is bigger: s or p? p Suppose -4*y = -m + 4, 0 = 3*m + 6*y - 2*y + 4. Let r be ((-52)/22)/(15*27/6). Let q = r - -2/135. Which is smaller: q or m? q Let h = -14101/119 + 827/7. Let w = 3 + 0. Suppose -w = 5*o + 2. Which is smaller: o or h? o Let o(r) = 8*r**2 - 2*r - 2336. Let s be o(0). Is -2336 at most as big as s? True Let w = -4 - -3. Let y = -27/2362 + 8207/304698. Which is bigger: w or y? y Let p = -3.5 + 4.49. Let c = p + -15.49. Which is bigger: c or 3? 3 Let w = -98 - -95. Let v = 2.97 + w. Is 2/13 greater than or equal to v? True Suppose -94 = 3*l + 2*s - 0*s, -5*l = s + 159. Let f be (-31 - l)*4/(-7). Is -2 greater than or equal to f? False Let i(x) = x**3 - 122*x**2 + 691*x + 30. Let f be i(6). Which is bigger: -409 or f? f Let v = -436 + 437. Let d be ((-2 - v) + 2)*5. Suppose 13 = -3*g + 3*u + 1, 0 = -5*g + 3*u - 20. Is d greater than g? False Let o(h) = 6*h**3 + 3*h**2 + h + 2. Let t be o(-2). Let c be 3/t*72/112. Is -1 smaller than c? True Let x = 2849/5694 - 1/2847. Are -28 and x nonequal? True Suppose 21*a - 6*a = 4*a - 5027. Is -457 less than a? False Let h be (12/22)/(-3) + (-992)/(-2552). Do -37 and h have the same value? False Suppose 0 = -2*g + 7*g - 4*h - 285, -2*g = 5*h - 114. Let r = g - 49. Is r less than 7? False Let h = -1/670 - -40223/15410. Let q = h + -5/46. Is q at least -0.1? True Let a be (-4674)/(-228) - (1 - 8). Let u(o) = -3*o - 34. Let i be u(-21). Is a bigger than i? False Suppose -2*y = 2*a - 422, -4*a = -58*y + 57*y - 869. Suppose v - d = 2*d + 229, 2*v + 2*d - 426 = 0. Is a <= v? True Let z be 192/(-80) + 6/15 + 1. Let u be (1/(-2) - z)*(46 - 36). Is 68/19 at least u? False Let a = 1795.29 + -1795.224. Let t = 2.01 - 0.01. Which is smaller: a or t? a Suppose 38 = 3*o - 2*s + 267, -239 = 3*o - 4*s. Which is smaller: -64 or o? o Suppose -30*v + 33*v = 2*l + 1002, 1331 = 4*v - l. Is v at most 328? False Suppose 54 = 2*p + 42*g - 44*g, 60 = 2*p + 4*g. Suppose -198 = -53*y + 44*y. Which is greater: p or y? p Let b(y) = y**2 + 20*y + 96. Let c be b(-12). Which is smaller: c or -1/4173? -1/4173 Let n be (2/(-796))/((-2)/(-8)). Let y be (1 - 1)*(-22)/(-1518)*23. Is y < n? False Let j = -10608 + 10307. Let f be (599 - 0)*6/(-12). Is f != j? True Let m = 19014.9 + -19015. Is 0.06731 at most as big as m? False Let o = -7 - -6. Let n = -802.38 + 800.3. Is n bigger than o? False Let w = -357 + 666. Let t = -308 + w. Are t and 14 nonequal? True Let u be 10*5/(550/6369). Is 579 at least as big as u? True Let n(p) = -p**3 - 6*p**2 + 6*p + 10. Let b be n(-9). Suppose b + 225 = 4*q - 5*j, 4*q = 4*j + 424. Let m be (-1)/(-2) - q/(-12). Which is greater: m or 10? 10 Let p be 3/(0 + (-2 - (-358)/178)). Let i = 98 - p. Is -169 smaller than i? False Let p be (105/10)/(-7) - 66/(-4). Let h be (-807)/24 - p/40. Is h <= -35? False Let b = 21581/13 - 1661. Let k be 1/2*(2 - -4 - -2). Let u = k - 6. Is u < b? True Let i be -81*(-3 - ((-1089)/(-27))/(-11)). Is -107 > i? False Let d = -101 - -115.9. Let f = 15 - d. Let y = -75.15 - -75. Are f and y unequal? True Suppose -2*v = -4*q - 5712, 2*q + 4*v - 1201 = -4037. Is -1425 at least q? True Let o(r) be the second derivative of r**4/12 - 3*r**3 + 15*r**2 - 73*r. Let x be o(19). Are 50 and x non-equal? True Let o be (-3)/12*-36 + (-2601)/288. Which is greater: o or -31? o Let i = 66 + -15. Let u = -41 + -16. Let h = u + i. Which is bigger: h or 0? 0 Let n(g) = -11*g**2 - 121*g - 524. Let j be n(-17). Is -1645 < j? False Let a = -1.76715 + -0.23285. Which is smaller: -1109.9 or a? -1109.9 Suppose -17*d - 5744 = 291. Suppose -11*w + 280 - 4174 = 0. Which is greater: d or w? w Let y(p) = -98*p - 1469. Let f be y(-15). Let b be (-2)/(10 - -2)*1. Which is greater: b or f? f Let u = -61 - -63. Let l be (u/8)/(4 + (-858)/16). Which is smaller: 0 or l? l Suppose -5*r + 2545 = -5*w, 21*r - 2035 = 17*r + 3*w. Is r greater than 509? False Let u = -3813/4 + 974. Let n = -142 + 164. Does u = n? False Let b = 74 + -80. Let p = b - -2. Let n be (3 - p/8)/(6/12). Is 28/5 at most as big as n? True Let r = 1 + -2. Let f = -16478/25 + 2257686/3425. Which is smaller: f or r? r Let n be 3*(-6 - (-100)/15). Let m be -2 - 2/n - 15/(-13). Which is bigger: m or -1? -1 Let o = 0.031 + -1.331. Let p = -30.3 - o. Let u = p + 32. Which is greater: u or 2/3? u Let s be 1376/6286 + (-236)/826. Which is bigger: -1 or s? s Let y = -644 - -644. Which is smaller: y or -44/27? -44/27 Suppose 5*d = u + 16, -2*u - u = -5*d + 18. Suppose -5*i = 4*v + 52, -3*i + 5*v - 18 = d*v. Let s be i/95 + 7/(-70)*-4. Which is smaller: s or 1? s Let d be 20*(-4 - ((-6)/2 + -2)). Let o be d/(-15)*48/2. Which is smaller: o or -286/9? o Suppose -1510 + 1415 = -95*r. Is 2/689 at most as big as r? True Let a be 1*13 + (-1106028)/85082. Is 0 at most as big as a? True Let c be (-9770)/(-40) - (138/(-24) + 5). Is 1963/8 at least as big as c? True Let w(t) = -6*t**2 + 5*t - 4*t**2 - 4*t + 30 + 9*t**2. Let s be w(5). Let n = s - 22. Is -8 >= n? True Let s = 0.7 + -1.7. Let z = -169.8 + -46.2. Let c = z + 236. Are s and c nonequal? True Let a = -251 + 138. Let y = 0.042688 - 0.142688. Is y greater than a? True Let d = 0.222 - -193.778. Let v = d + -192. Is v > -1/12? True Let d = 99 - 54. Let t = 33 - d. Let l(u) = -u**3 - 5*u**2 + 6*u + 1. Let q be l(-6). Which is bigger: q or t? q Let n be 625/(-8) - 316/(-2528). Do -12 and n have the same value? False Suppose 5*i + 2*n = 22, -4 = 2*i - 4*i + 4*n. Let h be 43 - (i + 12/9*-3). Is 43 greater than or equal to h? True Suppose 5*v = -31*t + 34*t + 10, -25 = 5*v + 4*t. Which is smaller: v or 10/149? v Suppose 3*f + 50 = -2*u + 7*u, 0 = 4*f. Let p be (-56)/168*u/(-9). Which is bigger: 1 or p? 1 Let x be (0/59)/(-10 - 3). Do x and 2/4663 have the same value? False Let n(w) = -25*w + 924. Let i be n(36). Is -59 < i? True Let f = -53 - -51. Let z be ((-435)/(-55) + -8)*24. Which is smaller: f or z? z Let z be 5568/(-3045) - (48/30)/(-4). Let t = -2 - 0. Which is bigger: t or z? z Let g(n) = -2*n + 42. Let k = 76 - 54. Let h be g(k). Which is greater: -5/3 or h? -5/3 Suppose 0 = -5*j - 2*s + 1, -2*s = 3*j + 2*s + 5. Suppose -2*r + 5*k = 154, -3*k + 222 + 100 = -4*r. Is j at most r? False Suppose i + i + 1003 = 849. Are -68 and i non-equal? True Let b be (-7)/(-5) + (-2)/5. Suppose -3*x - b = -2*x. Let w = 113/2 - 169/3. Are x and w equal? False Let k be 1*(6 - (-5124)/(-852)). Let r = -121 - -121. Is r not equal to k? True Let g = -0.016 + -2.784. Let u = g - -2.49. Let v = u - -0.11. Which is bigger: -9 or v? v Suppose 5*r + 38 = -4*v + 4, -3*r = 5*v + 23. Which is bigger: -1/298 or v? -1/298 Let f = 74546 + -74417. Suppose -5*l = 2*b - 654, -4*l + 3*b = -b - 512. Is f greater than l? False Let y be 1 - ((-80)/(-48) + (-285)/9). Let h = 1 + 0. Let b be 32 + h - (0 - -2). Are b and y nonequal? False Let w be (-1 + 3)/2 - -262. Suppose -9*p - 659 = -w. Suppose 0 = 5*a - 51 + 266. Do a and p have the same value? False Let b = -23477.12 - -22901. Let v = b - -576. Which is smaller: v or 3? v Let z(h) = -h**3 - 14*h**2 + 18*h - 12. Let t be z(-16). Let r = t - 263. Is r != -52? True Let k = -0.0784 - -51.1784. Let r = 133.1 - k. Which is bigger: 3 or r? r Let u = 64 - -28. Let o = u + -153. Let a = 64 + o. Which is smaller: a or 1/4? 1/4 Let g = 55.12 + -54.467. Which is smaller: -1 or g? -1 Suppose -2*h + 88 = 2*l, l + 2*h + 6 = 50. Let y = -41 + l. Suppose 5 = y*f + 11. Is -9/8 < f? False Let i = 451 - 1073. Let c be (-12)/(-7) - 279424/448. Is i greater than c? False Let c = 463.9 + -463. Which is smaller: 17 or c? c Suppose v + 100 = 2*k - 239, 2*k + 2*v = 324. Suppose 2*u - 2*i = 62, -5*i = 5*u - k - 18. Is u != 34? False Let n = -615 + 619. Suppose 4*j - 404 = -4*t, -169 = -n*j + 5*t + 253. Which is greater: 104 or j? 104 Let g = 61885 + -738473703/11933. Which is smaller: -1 or g? -1 Let j = -9 + -5. Let l = -14 - j. Let b be 0 + l + 2/(-6). Is b at least 2? False Let b = 803 + -
{ "pile_set_name": "DM Mathematics" }
ands digit of 1266? 1 What is the units digit of 7? 7 What is the units digit of 2160? 0 What is the thousands digit of 8402? 8 What is the hundreds digit of 1691? 6 What is the hundreds digit of 231? 2 What is the units digit of 1653? 3 What is the thousands digit of 7905? 7 What is the tens digit of 5515? 1 What is the hundreds digit of 2408? 4 What is the thousands digit of 89659? 9 What is the units digit of 31427? 7 What is the hundreds digit of 3464? 4 What is the hundreds digit of 492? 4 What is the units digit of 16087? 7 What is the tens digit of 1189? 8 What is the hundreds digit of 41342? 3 What is the hundreds digit of 963? 9 What is the thousands digit of 82892? 2 What is the units digit of 11087? 7 What is the hundreds digit of 3321? 3 What is the units digit of 7912? 2 What is the units digit of 8603? 3 What is the thousands digit of 2224? 2 What is the tens digit of 4063? 6 What is the units digit of 192979? 9 What is the hundreds digit of 14101? 1 What is the units digit of 22541? 1 What is the hundreds digit of 12683? 6 What is the ten thousands digit of 13414? 1 What is the tens digit of 12829? 2 What is the thousands digit of 13617? 3 What is the ten thousands digit of 47455? 4 What is the units digit of 913? 3 What is the units digit of 142? 2 What is the thousands digit of 59077? 9 What is the tens digit of 68768? 6 What is the tens digit of 9933? 3 What is the units digit of 45547? 7 What is the thousands digit of 3459? 3 What is the tens digit of 3447? 4 What is the hundreds digit of 6800? 8 What is the tens digit of 1407? 0 What is the units digit of 42584? 4 What is the units digit of 4779? 9 What is the units digit of 2573? 3 What is the units digit of 316? 6 What is the tens digit of 17112? 1 What is the units digit of 314? 4 What is the hundreds digit of 5893? 8 What is the hundreds digit of 3125? 1 What is the units digit of 330? 0 What is the hundreds digit of 282? 2 What is the tens digit of 41580? 8 What is the tens digit of 309? 0 What is the thousands digit of 4162? 4 What is the units digit of 37591? 1 What is the units digit of 2999? 9 What is the tens digit of 437? 3 What is the hundreds digit of 538? 5 What is the hundred thousands digit of 108122? 1 What is the tens digit of 1036? 3 What is the tens digit of 15111? 1 What is the tens digit of 963? 6 What is the ten thousands digit of 56019? 5 What is the thousands digit of 3477? 3 What is the tens digit of 11179? 7 What is the hundreds digit of 74786? 7 What is the units digit of 12241? 1 What is the units digit of 3031? 1 What is the thousands digit of 59563? 9 What is the units digit of 1319? 9 What is the hundreds digit of 16100? 1 What is the units digit of 1675? 5 What is the tens digit of 86129? 2 What is the tens digit of 76245? 4 What is the tens digit of 3757? 5 What is the ten thousands digit of 33236? 3 What is the units digit of 29930? 0 What is the units digit of 3289? 9 What is the tens digit of 1241? 4 What is the hundred thousands digit of 112851? 1 What is the tens digit of 75768? 6 What is the thousands digit of 1407? 1 What is the units digit of 1192? 2 What is the thousands digit of 61535? 1 What is the tens digit of 10602? 0 What is the thousands digit of 2617? 2 What is the hundreds digit of 6218? 2 What is the hundreds digit of 276? 2 What is the units digit of 162? 2 What is the ten thousands digit of 16708? 1 What is the tens digit of 16373? 7 What is the tens digit of 503? 0 What is the tens digit of 2474? 7 What is the units digit of 2514? 4 What is the hundreds digit of 6435? 4 What is the hundreds digit of 629? 6 What is the units digit of 4130? 0 What is the tens digit of 20407? 0 What is the hundreds digit of 19529? 5 What is the tens digit of 7532? 3 What is the hundreds digit of 4112? 1 What is the units digit of 24501? 1 What is the hundreds digit of 9782? 7 What is the hundreds digit of 119152? 1 What is the tens digit of 143359? 5 What is the units digit of 18608? 8 What is the units digit of 24833? 3 What is the units digit of 14154? 4 What is the hundreds digit of 20742? 7 What is the hundreds digit of 17553? 5 What is the hundreds digit of 2048? 0 What is the units digit of 352? 2 What is the thousands digit of 6663? 6 What is the hundreds digit of 72244? 2 What is the thousands digit of 4528? 4 What is the units digit of 18856? 6 What is the ten thousands digit of 47327? 4 What is the ten thousands digit of 131282? 3 What is the hundreds digit of 5726? 7 What is the tens digit of 8110? 1 What is the hundreds digit of 68202? 2 What is the ten thousands digit of 11273? 1 What is the units digit of 68038? 8 What is the ten thousands digit of 77312? 7 What is the units digit of 11893? 3 What is the units digit of 6734? 4 What is the hundreds digit of 441? 4 What is the thousands digit of 64914? 4 What is the units digit of 3606? 6 What is the units digit of 12100? 0 What is the tens digit of 150674? 7 What is the thousands digit of 1964? 1 What is the units digit of 4919? 9 What is the units digit of 1334? 4 What is the tens digit of 8474? 7 What is the thousands digit of 2045? 2 What is the thousands digit of 2530? 2 What is the hundreds digit of 1712? 7 What is the tens digit of 12317? 1 What is the tens digit of 38? 3 What is the thousands digit of 2671? 2 What is the tens digit of 248? 4 What is the ten thousands digit of 115138? 1 What is the tens digit of 3056? 5 What is the hundreds digit of 3481? 4 What is the thousands digit of 8712? 8 What is the tens digit of 1472? 7 What is the units digit of 104496? 6 What is the ten thousands digit of 13360? 1 What is the thousands digit of 37663? 7 What is the ten thousands digit of 53753? 5 What is the hundreds digit of 7085? 0 What is the units digit of 450? 0 What is the units digit of 8712? 2 What is the tens digit of 594? 9 What is the tens digit of 1151? 5 What is the hundreds digit of 92413? 4 What is the units digit of 1755? 5 What is the units digit of 5033? 3 What is the hundreds digit of 44951? 9 What is the tens digit of 41823? 2 What is the tens digit of 11974? 7 What is the tens digit of 653? 5 What is the hundreds digit of 33612? 6 What is the thousands digit of 6137? 6 What is the hundreds digit of 8274? 2 What is the tens digit of 2434? 3 What is the units digit of 13621? 1 What is the units digit of 4192? 2 What is the thousands digit of 38326? 8 What is the tens digit of 21984? 8 What is the hundreds digit of 28678? 6 What is the tens digit of 27869? 6 What is the units digit of 1133? 3 What is the units digit of 979? 9 What is the units digit of 4933? 3 What is the hundred thousands digit of 121315? 1 What is the units digit of 1103? 3 What is the tens digit of 13685? 8 What is the units digit of 22776? 6 What is the thousands digit of 3134? 3 What is the tens digit of 744? 4 What is the units digit of 397? 7 What is the thousands digit of 1534? 1 What is the hundreds digit of 709? 7 What is the hundreds digit of 521? 5 What is the hundred thousands digit of 124023? 1 What is the ten thousands digit of 38197? 3 What is the units digit of 1832? 2 What is the thousands digit of 12119? 2 What is the units digit of 4593? 3 What is the units digit of 2972? 2 What is the hundreds digit of 5877? 8 What is the units digit of 2860? 0 What is the units digit of 2763? 3 What is the ten thousands digit of 80006? 8 What is the ten thousands digit of 88390? 8 What is the hundreds digit of 2172? 1 What is the thousands digit of 5763? 5 What is the hundreds digit of 268? 2 What is the tens digit of 3260? 6 What is the thousands digit of 4681? 4 What is the tens digit of 994? 9 What is the thousands digit of 58081? 8 What is the tens digit of 4633? 3 What is the hundreds digit of 840? 8 What is the hundreds digit of 1588? 5 What is the tens digit of 703? 0 What is the ten thousands digit of 34761? 3 What is the tens digit of 199? 9 What is the thousands digit of 1384? 1 What is the hundreds digit of 21577? 5 What is the tens digit of 78794? 9 What is the tens digit of 988? 8 What is the thousands digit of 47189? 7 What is the thousands digit of 2030? 2 What is the hundreds digit of 5678? 6 What is the tens digit of 941? 4 What is the hundreds digit of 25928? 9 Wh
{ "pile_set_name": "DM Mathematics" }
t to c in -2/13, 0.3, q? -2/13 Let f = 8.2 - 8. Let s = -0.3 - f. Which is the nearest to -2/3? (a) s (b) 0.4 (c) 0.2 a Let p be ((-2)/6 - -1) + 0. Suppose -3*r - r = 0. Which is the nearest to r? (a) 2 (b) 1/6 (c) p b Let d = 5 + -13. Let t = d + 7.7. Which is the closest to 0.04? (a) -0.1 (b) t (c) -0.5 a Let m be (-2)/4*(-2)/3. Let d = -109 - -112. What is the closest to -2 in m, d, 5? m Let h = -8.7 - -9. Let j = 0.4 + h. What is the nearest to 1 in 1, j, 5? 1 Let v(g) = -g - 4. Let c(h) = h**3 + h**2 - h - 1. Let k be c(-2). Let j be v(k). What is the nearest to j in 1, -3/2, -0.1? -3/2 Let p be 578/8 - (-5)/(-20). Let i = 361/5 - p. Let o be (-5 + -3)*3/(-24). Which is the nearest to i? (a) o (b) -2 (c) -2/3 a Let v = 0.08 + -0.34. Which is the nearest to 0? (a) 4/5 (b) v (c) 2/15 c Let i = 1 - 38. Let t = -223/6 - i. Let g = -1/8 - 1/8. Which is the nearest to g? (a) t (b) 0.3 (c) -0.5 a Let k = 0.3 + -0.3. Let v = 188/3 + -63. Which is the nearest to k? (a) 0 (b) v (c) -4 a Let n = -0.1 - -0.6. Suppose -2*l = 3*s + s - 16, 0 = -l + 4*s + 2. Let k be (-3)/l + 14/20. Which is the nearest to 1? (a) k (b) n (c) 2/17 b Let x = -23/5 - -59/15. Let u = 56 + -58. Which is the nearest to x? (a) 0.3 (b) u (c) -0.1 c Let x = -6 + 7. Let d = 6 - x. Which is the closest to 0.1? (a) 2 (b) d (c) -2/7 c Let k = 0.34 - 4.54. Let b = -4 - k. What is the closest to 2/5 in b, 2, 2/3? b Let u(o) = -2*o**3 + 3*o + 3. Let d be u(-1). Which is the closest to -0.1? (a) d (b) 1/4 (c) 2/9 c Let p = 13 - 14. Let v = -4/77 + 26/77. Which is the nearest to 1? (a) v (b) -5 (c) p a Let c = -821/13 + 63. Let h = -9.7 + 9.2. What is the nearest to 2 in c, h, 2/5? 2/5 Let s = 44/5 - 9. Suppose 94 = 5*y + 3*n, 2*y - 10 = y - 5*n. Let k be y/(-28)*(-6)/10. Which is the closest to -0.1? (a) s (b) 2 (c) k a Let g be 177/15 - 2/(-10). Let v = g - 20. Let m be 4/(-16) + (-10)/v. What is the nearest to m in 0, -2/5, -3? 0 Let f be -2*-1*2/(-16). What is the nearest to -2/5 in -2, f, 0.4? f Let c = 0.3 - -0.2. Let y(q) = 14*q - 326. Let t be y(23). What is the closest to -1/4 in t, -2, c? c Let h = 21 - 16. Which is the nearest to 0? (a) -0.2 (b) h (c) 2/3 a Let t = 6 - 6.4. Suppose 0 = -g + 6*s - s + 16, 0 = 3*s + 6. Which is the closest to -0.1? (a) 0.3 (b) t (c) g b Let q = 2 + -4. Let z = -0.1 - -3.1. Let h = q + z. Which is the nearest to h? (a) 3 (b) -3 (c) 1 c Let j be (-3738)/(-3742) - (1 - 0). Let k = -7426/54259 + j. Let n = 94/261 + k. Which is the closest to 2? (a) 1 (b) n (c) 4 a Let u be (-12)/126 - (-16)/6. Which is the nearest to -2? (a) 0.1 (b) u (c) 1/9 a Let f = -10.71 - 0.99. Let r = 2.3 - f. Let y = -10 + r. Which is the closest to 1? (a) -2/17 (b) 0.5 (c) y b Let y = -6 - -3. Let w be (-12)/105 - 8/28. Which is the closest to w? (a) y (b) 5 (c) 3 a Let d be 4/(-6) + (-310)/(-24). Let y = 237/20 - d. Let w be (-2)/4*(-4)/8. What is the closest to w in 1, y, 2/5? 2/5 Let a = 0.3 - 0.3. Let b = -8 - -12. What is the closest to 0 in -2, b, a? a Let l(r) = -r**3 - 7*r**2 + 7*r - 3. Let h be l(-8). Suppose 0*d + 4*d = 0. What is the nearest to d in 0.5, 3, h? 0.5 Let w = 176/365 + -6/73. Let z = 0.3 - 0.7. Which is the nearest to w? (a) -6 (b) z (c) 5 b Let f = -4 - -4. What is the nearest to 1/3 in 1/7, -3/5, f? 1/7 Let h = 24.42 + 0.58. Let k = -36 + h. Let q = k - -8. What is the closest to -0.1 in -1/3, q, -2/7? -2/7 Let s = -2.1 - -2.1. What is the closest to 2/3 in -2/3, -5, s? s Let s = -20 + 30. What is the nearest to 1 in s, -0.4, -4? -0.4 Let m = -0.04 - 0.06. Let n = -17/14 - 2/7. Which is the closest to m? (a) n (b) 1 (c) -2/9 c Let r = -2/17 + 21/34. Let p be -4*(-2)/(24/(-2)). What is the closest to p in 5, r, -0.3? -0.3 Let l = -177 - -182. Let o = 0 - 0.1. What is the closest to o in 2/3, -3/5, l? -3/5 Let u = -15 + 13. Let t be (u/2)/(2 + 2). Which is the closest to 2/7? (a) -0.04 (b) t (c) 4 a Let c = -0.3 - 0.2. Let g = -0.2 - -0.2. Let l = -14 - -15. What is the nearest to l in -4, c, g? g Let i = 4.85 + 0.15. Let d = 1.6 - 2. Let k = -3.4 - d. Which is the closest to -1/3? (a) i (b) 0.1 (c) k b Let p = 41.3 + -41. Which is the nearest to 4/3? (a) -5 (b) 4/7 (c) p b Let r = -8.7 + 9. Let l = -0.7 + r. Let i = -2.4 - -0.4. What is the closest to 1 in -0.1, l, i? -0.1 Let d = -3 + 2.7. Let a be 60/(-40)*1*2. Let o = -1.5 - -1. What is the closest to 2 in a, o, d? d Let g = 31 + -32. Which is the closest to -1/2? (a) -3 (b) 5 (c) g c Let s be 7/(-12) - 7/28. What is the closest to s in -0.1, -2, -3? -0.1 Let l = 12 - 7. What is the nearest to 1 in -2/9, l, 4? -2/9 Let y = -3/10 + 19/30. Which is the closest to y? (a) -4 (b) 3 (c) 0.1 c Let g = -109.9 + 115. Let d = g + -5. Which is the closest to -3/5? (a) -4 (b) d (c) -0.3 c Let c = -1 + -1. Let d = c + 1.7. Suppose -6 = 3*r, -3*o + 4 = -o - 4*r. What is the nearest to 1 in o, 2/3, d? 2/3 Let u = -156 - -155.29. Let d = 0.23 + u. Let y = -0.08 - d. What is the closest to 2/7 in y, -2, -0.2? y Let k = -33 + 37. Which is the closest to 1? (a) k (b) -0.3 (c) -0.4 b Let m = 0.06 - 4.06. Let u(c) = c**3 - 7*c**2 - 8*c + 4. Let y be u(8). What is the closest to -2 in y, m, 0.2? m Let f = -22 - -21. Let d = -0.1 + -0.4. What is the nearest to f in d, -0.1, 2/5? d Let f be 5/6 + 6/(-9). What is the closest to -1/2 in f, -3/7, 4/7? -3/7 Let g = 5.58 - 0.58. What is the closest to 7/5 in 0.2, -0.2, g? 0.2 Let o be (-16)/(-120) + 4/(-255). Which is the nearest to -0.1? (a) -3 (b) 4 (c) o c Let h = -1.4 - -1.1. Let n be (-2)/3 + (-4)/(-5). Which is the nearest to 1? (a) h (b) -4 (c) n c Let h = -11 - -7. Let w be (-24)/180*10/6. Let d = -6.5 - -7. Which is the nearest to w? (a) d (b) h (c) 1/3 c Suppose p = -0*p - 2. What is the nearest to 2 in p, -0.3, 5? -0.3 Let h = 0.065 + 0.935. Let w = 7 + -4. Let a = 3.4 - w. What is the nearest to 0.1 in -1, h, a? a Let u = 0 + 0.4. What is the closest to 1/4 in u, -2/3, 1? u Let n be (-6)/(-12) - 1/10. Which is the nearest to 0? (a) n (b) -4/5 (c) 4 a Suppose 1 = 3*k + 4. Let g be 1/((3 + k)/(-2)). What is the closest to -1 in -0.5, 0.3, g? g Let t = 0.05 + -0.05. Let u = 0.2 - 0.4. Let v = -49/2 - -25. Which is the closest to v? (a) t (b) 0.5 (c) u b Let k be (-56)/90 - (-4)/18. Let q(j) = j**3 - 2*j**2 - 3*j - 3. Let r be q(3). What is the closest to k in -4, -2, r? -2 Let z = -1 + 0. Suppose 4 = -4*i - 4. Let y be (-16)/42 - 10/(-15). Which is the closest to i? (a) 0.1 (b) y (c) z c Let q = -5 - -5.7. Let s = -0.2 + q. Let l = 3 - 4. What is the nearest to -2/5 in -4, l, s? l Let g = 30 + -29.6. What is the nearest to 2/3 in g, -2/7, 0.1? g Let w = 8.6 - 9.6. Which is the closest to 0? (a) -0.03 (b) -0.1 (c) w a Let x(h) = -3*h + 3. Let q be x(5). Let r be (-3)/(-5)*q/18. What is the closest to r in 5, -1/4, -4/5? -1/4 Let b be 6/(-48)*-34 + -4. What is the closest to 3 in b, 10, -0.3? b Suppose 3*v + 3 = -3*x, -2*x + v = 3*x - 1. Let p = -6.4 - -6. Which is the closest to x? (a) p (b) 5 (c) 0.3 c Let l = -1.9 - -1.7. Which is the closest to l? (a) 5 (b) -0.3 (c) -3 b Let v = 9 + -6. Let j be (-2)/8 + 228/336. Which is the nearest to j? (a) 2 (b) -1/7 (c) v b Let g = -5 - -7. Which is the closest to 0.1? (a) -3 (b) -5 (c) g c Let j = -136.3 + 136. Which is the closest to j? (a) 3 (b) -5 (c) -1 c Let y = -1 + 1. Let t be 4/(-12)*(0 + 1). Let p = -1.1 + 0.1. What is the nearest to p in y, t, -1? -1 Let q = -0.041 - 4.959. Which is the nearest to 0.1? (a) q (b) 1/3 (c) -0.01 c Let n be 51/342 - (-12)/8. Let w = 6/19 - n. Which is the closest to 1? (a) 3 (b) w (c) -0.3 c Let l = 0.15 + 0.23. Let h = l - -0.02. Let u = -0.3 + h. What is the closest to u in 1/4, 0.5, 5? 1/4 Let t = 0.75 - 0.15. Let w = 0.7 - t. What is the nearest to w in -0.2, -2/7, -2/11? -2/11 Let r = -0.2 + 0.3. Let w = -0.1 - r. Suppose 4*k + 25 = -k, -c - 2*k - 11 = 0. What is the closest to c in w, 2/3, 1/5? w Let y be 13/4*1 + (-1)/4. Which is the closest to 0? (a) y (b) -0.7 (c) 5 b Let n = -8 - -12. Let r = 2.01 - 2.1. Let y = 0.49 + r. What is the closest to -1 in n, -2/7, y? -2/7 Suppose 4*w = p - 8, -2*p + 4 = 3*w - 5*w. What is the nearest to p in 4, -
{ "pile_set_name": "DM Mathematics" }
+ l. Determine m(t). -1 Suppose 0 + 16 = h + 3*p, 2*h - 2 = 4*p. Let g(v) = -3*v + 1. What is g(h)? -20 Let j(s) = 3*s - 3. Let l be 0 - (4 - -1) - 4. Let i be 6/(-4) - (315/10)/l. Determine j(i). 3 Let b = 3 - -1. Suppose -b = 5*g - 4*g. Let d(x) = -6*x - 6*x**2 - x**3 - 90 + 172 - 86. Determine d(g). -12 Let t = -984 + 1969/2. Let w(n) be the second derivative of 1/12*n**4 - 1/6*n**3 - t*n**2 + 0 - 1/20*n**5 - 13*n. Determine w(-2). 13 Suppose z + 4*f - 18 = 0, z + 3*f = 1 + 14. Let x(d) = -820*d**2 + 0 - 10*d + z + 819*d**2. Determine x(-9). 15 Let q(f) = -f**3 + 6*f**2 - 2*f. Suppose -2*o = -3*l + 222, -4*o + 5*l = -o + 335. Let h be 4*(o/(-4))/(-7). Let c be (h/6)/((-6)/12). Determine q(c). 15 Let s(t) = -2*t**2 - 3*t - 1. Let m(o) = 2*o - 11. Let k(a) = 3*a - 22. Let j(p) = 3*k(p) - 5*m(p). Let b be j(-9). Calculate s(b). -3 Let q(y) = 9*y**2 - 24*y + 96. Let k(p) = 7*p**2 - 19*p + 72. Let d(i) = -13*k(i) + 10*q(i). Give d(10). -6 Suppose -y - 2 = -2*y. Let x(g) = -2 - 15*g - g + 5*g + 12*g. Determine x(y). 0 Let j(h) = -h**3 + 4*h**2 + 4*h + 5. Let b = 573 - 568. Determine j(b). 0 Suppose n - 4*r = 21 + 3, -r = -2*n + 13. Let b be 10/n - 3/6. Let g(z) = 2*z + 2. What is g(b)? 6 Let j(s) = -s**2 - 5*s + 4. Let x be (-6)/((-12)/4)*1. Let i(n) = 6 + 2 - x*n - 6 - 3*n**2. Let c be i(-2). Determine j(c). -2 Let d(g) = -5 + 5*g**2 - 4*g + 28*g**3 - 35*g**3 - 6 + 0. Let a(t) = t**3 - t**2 + t + 2. Let u(l) = 6*a(l) + d(l). Calculate u(-2). 1 Suppose 0 = 5*n - 2*j + 43 + 23, -42 = 3*n - 2*j. Let l be 2 + -3*4/n. Let p(f) = -f**l + 3*f**2 + 27 + 2*f - 29 + 2*f. What is p(4)? -2 Let x(p) = -14*p - 130. Let l(q) = -30*q - 303. Let k(a) = -3*l(a) + 7*x(a). Let t = 1 + -3. Determine k(t). 15 Let a(l) = -l + 1. Let q be 9/(-6)*(-7 + 5). Let c be (-21)/(q - 0) - -4. Let j(v) = v. Let y(n) = c*a(n) - 7*j(n). Determine y(-2). 5 Let v(q) = -q**3 - q**2 - 11. Let h be 1/(-7) - 29/(-203). Determine v(h). -11 Let r be (-1 + 0 + 6)/(-1). Let w(x) be the third derivative of -x**6/120 - x**5/10 - x**4/6 + x**3 + 6*x**2. Determine w(r). 1 Let j be -2 - (4 - 5)*4. Let h(i) = i + 2*i + j + 4 - i. Give h(-6). -6 Let z(w) = -w - 7. Let t(f) = -2*f**2 - 34*f. Let c be t(-17). Suppose c = -8*n + n - 63. What is z(n)? 2 Let k(n) be the third derivative of -n**6/24 + n**5/30 - n**4/24 + 2*n**2 + 15. Let z(c) = 2*c**2 - 1. Let v be z(1). Determine k(v). -4 Let y(o) = -3*o**3 + 2*o**2 - 2*o + 1. Let b(f) = -3*f. Let v be b(16). Let w = -47 - v. Determine y(w). -2 Suppose 0 = -2*m + 5*m. Suppose m = -u - u. Let j(a) = 5 + u*a + 3*a - 4*a. Determine j(8). -3 Let u(j) = -398*j - j**2 + 17 - 14 + 403*j. Let r = -4 - -8. Suppose 0 = r*m - 4*z - 32, 0*m + 28 = 3*m - 5*z. Give u(m). -3 Let m(u) = 3*u - 2. Suppose 5*g - 3*o = -0*o + 45, 9 = 4*g + 3*o. Determine m(g). 16 Let u(z) be the first derivative of -6*z**3 + z + 11. Suppose 4*p - 3*p = -1. Calculate u(p). -17 Suppose -22 = 2*j - 26. Let u(y) = 7*y + 6. Let g(p) be the second derivative of 7*p**3/6 + 5*p**2/2 + p. Let v(t) = j*u(t) - 3*g(t). What is v(-2)? 11 Suppose -2*g = 18 - 40. Let b(d) = d**3 - 11*d**2 + 2*d - 18. Let r be b(g). Let j(z) = -3*z. Calculate j(r). -12 Let u(c) be the first derivative of 5*c**3/6 - 3*c**2/2 + 7*c + 8. Let y(x) be the first derivative of u(x). Calculate y(5). 22 Let t = -15 + 64. Let l(q) = -t*q**2 + 3*q + 3*q + 48*q**2. Calculate l(6). 0 Suppose -5*p = r, -29 = 5*r - 4*p - 0*p. Let a(y) be the third derivative of 0 + 0*y - 5/24*y**4 - 4*y**2 - 1/60*y**5 - 7/6*y**3. Determine a(r). -7 Let h(i) = -10*i - 108. Let k be h(-10). Let t(v) = -v**2 - 8*v + 2. Determine t(k). 2 Let n(s) = -4 + 5 - 3 + s**2 + 2*s. Let p be n(-4). Let w(f) = -f**2 + 6*f + 7. Give w(p). 7 Let s(c) = -5*c**3 + c**2 - 17*c. Let n(f) = 11*f**3 - 3*f**2 + 39*f. Let m(r) = 4*n(r) + 9*s(r). Let k = -1 - -3. Suppose k*x + 1 = -7. Determine m(x). 4 Let q(g) be the third derivative of g**6/120 + 3*g**5/20 - g**4 - 11*g**3/3 + 269*g**2. Give q(-11). 0 Let j(f) be the first derivative of -f**4/4 + f**3/3 - f**2/2 + 14. Let u(s) = -5*s**3 - 2*s**2 + s + 3. Let k(x) = 6*j(x) - u(x). Give k(7). -3 Let i(f) = -3*f + 93. Let h(p) = -18*p + 528. Let w(u) = 6*h(u) - 34*i(u). Determine w(-5). 36 Let l(h) = -142*h**3 + 312*h**3 - 163*h**3. What is l(1)? 7 Let o(z) = -z**2 + 9*z + 4. Let m(h) = h + 1. Let r be m(7). Determine o(r). 12 Suppose -s - 5 = -3*d + 6, -17 = -d + 3*s. Let k(c) = 8 - c**d - 4 - 23*c + 17*c. Let m(o) = -4*o**2 - 1. Let x be m(-1). Determine k(x). 9 Let r(g) = -g**3 - 7*g**2 + 8*g + 5. Let p(k) = 4*k**3 + 28*k**2 - 33*k - 19. Let z(a) = 2*p(a) + 9*r(a). Give z(-8). 23 Let x(a) = -14*a - 105. Let f be x(-7). Let b(n) = n**2 + 7*n - 6. Determine b(f). -6 Let k(h) = 4*h + 25. Let m(x) = 2*x + 13. Let p(c) = 6*k(c) - 11*m(c). Determine p(4). 15 Let b(h) = -4*h**2 - 11*h**3 + 15*h**3 - 4*h + 5*h - 3*h**3 - 3. Let z = -7 - -8. Suppose -2*m = -3*q + 14, -2*q - z = -m - 10. What is b(q)? 1 Let x be -8*(-1 + 2)*-1. Let d be (5/(-2))/((-4)/x). Let k(r) = r - 1 + d + 0. Give k(-4). 0 Suppose 0 = -r - r. Let g(x) = -4*x - 5*x**2 + 7 - x**3 + r*x**2 - 6 - 4. Let w(c) = c - 9. Let t be w(6). Calculate g(t). -9 Let q(j) = -j**2 + 9*j - 1. Let m = 195 + -188. What is q(m)? 13 Suppose 0 = -m - 0 + 1. Let s be -5 + 2/(-10) + (-24)/(-20). Let n(y) = -y. Let f(b) = 5*b - 1. Let u(p) = s*n(p) - f(p). What is u(m)? 0 Let s(n) = -n**2 - 11*n + 14. Let p be (13/(-1))/((-2)/(-2)). Calculate s(p). -12 Suppose 0*f + 6 = 3*f. Let c(k) = 2 - 2 + 2*k**f + 0 - 1 - 3*k**3. Suppose i - 4 = 3*o + 10, 5*i - 15 = 4*o. Determine c(i). 4 Let a(l) = -2*l + 2. Let v be 4/(-6)*(0 - 60). Let z = v - 37. What is a(z)? -4 Let m(h) = h**3 - 4. Let c be (-8)/6 + (-112)/(-84). Determine m(c). -4 Let a be 6*(-1)/14 + (-34)/(-14). Let k(t) = -a*t + 13 + t - 8. Calculate k(4). 1 Let c = -3 - -5. Let v(m) be the second derivative of m**5/120 - m**4/6 + m**3/3 - m**2 + 37*m. Let s(f) be the second derivative of v(f). Give s(c). -2 Let j(h) = -2*h**2 + 13*h - 4. Let u(n) = -n**2 + 6*n - 2. Let g(s) = 2*j(s) - 5*u(s). Suppose 7 = 4*a + v, -4*a + 2*v + 2*v = -32. Determine g(a). -1 Let z(s) = s**2 - 4*s + 5. Suppose 0 = l - 0*l - 306. Let b be l/15 + (-4)/10. Suppose 6*a = a + b. Give z(a). 5 Suppose 3*f = -5*b + 6*f - 5, -5*b = 4*f + 5. Let c be (-4)/6 + 5/15*41. Let p(l) = -13*l**2 - 12 + 0*l - l + 24 - c. Calculate p(b). -13 Suppose 33 = -148*z + 151*z. Let k(v) = 3*v - 36. What is k(z)? -3 Let p be (-4)/14 + 60/14. Suppose -b = -4, 0 = -2*m - 2*m - 3*b - p. Let x(a) = -a**3 - 5*a**2 - 5*a - 3. What is x(m)? 1 Let s(p) = -3*p**3 + 35*p**2 - 10*p + 16. Let a(t) = -t**3 + 12*t**2 - 3*t + 5. Let c(h) = -7*a(h) + 2*s(h). Give c(14). 11 Let d(a) = -a**3 + 2*a**2 - a + 1. Let b = -4 - -61. Let y be (19/b)/((-1)/(-3)). Give d(y). 1 Let v = -14 + 8. Let f = v + 11. Let j(r) = r**3 + 11*r**2 + 7*r - 4. Let k(n) = -n**3 - 10*n**2 - 6*n + 3. Let w(b) = f*j(b) + 6*k(b). Determine w(-5). 3 Let f(x) = x**3 - 8*x**2 - 5. Let o be f(8). Let i(h) = 3*h**3 + 14*h**2 - 6*h + 1. Let d be i(o). Let r(m) = -m**3 + 6*m**2 - m + 8. What is r(d)? 2 Let m(o) be the second derivative of -o**3/6 - 12*o**2 - 146*o - 2. What is m(0)? -24 Let g(k) be the third derivative of k**8/20160 + k**7/1008 - k**6/240 - 23*k**5/60 + 23*k**2. Let x(r) be the third derivative of g(r). Give x(-6). 3 Let m(q) be the first derivative of -6*q - 37 - 9/2*q**2 + 1/3*q**3. Calculate m(9). -6 Let a be 2/3 - (-95)/15. Suppose 0 = z + 4 - a. Let p(d) = -z*d - 4 + 6*d - 2*d. Determine p(6). 2 Let r(x) = 0*x**2 - 3*x**2 + 4*x**2 - x + 0*x**2. Let d(p) = -p**2 - 3*p + 4. Let a be d(-3). Suppose 4*j - 8 = -a*h + 2*j, 6 = -2*h + 4*j. What is r(h)? 0 Let m(i) = i**2 + 5*i + 14. Let h be m(-5). Let k(o) = o**2 + 4*o - h*o + 9*o. What is k(1)? 0 Let q = -600 + 607. Let v(d) = -d + 5. Determine v(q). -2 Suppose 12 = s - 0*s. Let v be (-3 + s/2)/1. Let d(c) = c + 6*c**2 - v + 1 + 2. Give d(1). 7 Suppose 0*m - 15 = -3*m + 3*a, -43 = -3*m - 4*a. Let b(n) = -2 - 28*n + 13*n + m*n - n**2. Determine b(-6). -2 Suppose 2*f - 4*m = 20, -3 + 21 = 3*f - 2*m. Suppose 6 = f*r + 3*u - 66, 0 = -r + u + 11. Suppose 6*c - 9*c = -r. Let b(d) = d**2 - 8*d + 4. Calculate b(c). -11 Let n(t) = -10*t + 10. Let h be n(1). Let b(k) = k**3 - k**2
{ "pile_set_name": "DM Mathematics" }
7*n - 110 = 5*n. Suppose n = -5*h + 60. Sort -3/5, -4, h in decreasing order. h, -3/5, -4 Let y = -42192 - -42191. Suppose 4*w + 15 + 1 = 0. Sort -0.4, 2/5, y, w in decreasing order. 2/5, -0.4, y, w Let d = 0.260084 + 0.039916. Let v be (-2*4/(-6))/(-2). Put v, d, 2/5 in descending order. 2/5, d, v Let z = -10670 + 10672. Sort -1/4, -1/5, z, 0.2 in ascending order. -1/4, -1/5, 0.2, z Let l(m) = m**3 + m**2 + m - 29. Let g be l(0). Let f = 33 + g. Let p(c) = c**3 - 2*c**2 - 5*c - 12. Let w be p(4). Sort f, -5, w in decreasing order. f, w, -5 Let u be (15/30)/(-1)*-2. Sort 238, 4, 3, u in increasing order. u, 3, 4, 238 Suppose -5*i - 15 = -5*s, 3*s + s - i - 18 = 0. Let n(w) = -w**2 + 4*w + 7. Let h be n(s). Suppose 20*o - 26*o = 24. Sort o, h, -1 in decreasing order. h, -1, o Let d be 7*8/(-14) - (2 - 10). Sort d, 199, -4, 5. -4, d, 5, 199 Let g = 2091 - 2083. Let w be (6/(-3))/(-3 - -1). Let q(z) = -z**3 - 5*z**2 - 2*z + 3. Let r be q(-4). Put w, g, r in descending order. g, w, r Let i = -8.8 - -8.5. Let b(s) = s + 2. Let r(j) = -j**2 + 5*j + 9. Let z(q) = 9*b(q) - 2*r(q). Let w be z(-1). Put w, -3/2, 0.2, i in ascending order. -3/2, i, 0.2, w Let w = -5.2 - -5. Let i = -0.94 - -1.057. Let g = i - 0.217. Sort g, 2/11, w in decreasing order. 2/11, g, w Let g = -289 - -285. Let c(p) = 2*p + 38. Let v be c(-11). Sort 5, -0.1, v, g in decreasing order. v, 5, -0.1, g Let s be (1565/2)/((-14)/4). Let n = -224 - s. Let k(j) = -j**2 + 21*j - 4. Let p be k(21). Put p, n, 3/4, -6 in increasing order. -6, p, n, 3/4 Suppose -28 + 123 = -19*i. Let s = 2122/8481 - 2/257. Let x = s + 10/231. Put x, -0.4, i, -1/5 in ascending order. i, -0.4, -1/5, x Let p be (-1)/(((-84)/(-18))/(-14)). Put p, 2/373, -3/2 in ascending order. -3/2, 2/373, p Let y = 647 + -644.13. Let p = y + -0.87. Let h = 2 - 3. Sort p, 1/3, 5, h. h, 1/3, p, 5 Let o(g) = 511*g + 2048. Let c be o(-4). Put 8, -3, c in ascending order. -3, c, 8 Let p = -2 - -2. Suppose 55 = l + 4*l + 5*h, -5*l = -3*h - 23. Suppose -4 = -l*t - 95. Sort t, 1, p in decreasing order. 1, p, t Let h(s) = s**2 - 2*s - 9. Let v be h(4). Suppose 2*l + 60*t - 62*t + 8 = 0, -7 = l - 4*t. Sort 2, v, l in descending order. 2, v, l Let m = 0.1 + -0.1. Let k be 364/(-78) + (-2 - (-6 + 9 + -8)). Sort k, m, 6, 1 in decreasing order. 6, 1, m, k Let m(j) = -3*j**3 + 2*j**2 - j. Let b be m(1). Let a = 10 + -14. Let f = -12217.5 - -12218. Sort b, 0, f, a in ascending order. a, b, 0, f Let w = -4066.945 - -4067. Sort 2/9, w, 2/65 in increasing order. 2/65, w, 2/9 Suppose 131 = 2*u - 175. Suppose -u*t + 161*t = 1448. Put t, -2, -1 in increasing order. -2, -1, t Let v = 4455/15568 + -1/2224. Sort 0.5, -4, v in ascending order. -4, v, 0.5 Let g = 68 + -62. Suppose 4*v + g = -2*v. Let n be (51/(-15) + 3)*(v - 0). Put n, -2/5, -0.07 in descending order. n, -0.07, -2/5 Let w = -4039 - -4040. Sort -31, 0.1, w, 4/7 in descending order. w, 4/7, 0.1, -31 Let r(k) = 3*k**2 - 3*k + 8. Let c be r(-5). Let q(a) = 2*a**3 - 6*a**2 - a - 1. Let l be q(-3). Let p = l + c. Put 2/11, -2/9, 0.2, p in increasing order. p, -2/9, 2/11, 0.2 Let r = 3330 - 3270.08. Let g = r - 61. Let p = g - -0.8. Sort -5, 2/13, p in descending order. 2/13, p, -5 Let g(r) = r - 2. Let v be g(-2). Suppose 35*t - 259 + 39 = -9*t. Let m = 0 - -3. Sort t, m, v, -2 in ascending order. v, -2, m, t Suppose -2*x - 894 = -5*x. Let l = -298 + x. Let a = -5 + 8. Sort a, 5, l, -1. -1, l, a, 5 Let z(k) = -k**3 + 6*k**2 - 6*k + 3. Let n be z(5). Let d = -201 - -200. Let i be 5 - ((d - -2)*-2 - -3). Put n, i, 6 in decreasing order. 6, i, n Let g = 1282 + -662. Let f = 619 - g. Sort 25, 5, f. f, 5, 25 Suppose 0 = 139*d + 375 - 97. Put 19, 4, d, -1 in decreasing order. 19, 4, -1, d Let n = 0.967 - 1.167. Suppose -3*z + 2*z = -6. Suppose 3*p - 15 = 0, -z*q + 4*q + 20 = 4*p. Sort n, q, -0.3, 0.12. -0.3, n, q, 0.12 Let j = 21 + 6. Let q = -26 + j. Let k = -127 - -142. Put 5, k, q in descending order. k, 5, q Let j = 271.722 + -268.7. Let z = 810.022 - 810. Let b = j - z. Put b, -0.4, -3 in decreasing order. b, -0.4, -3 Let p = 0.014732 - 4.014732. Let z = -2.5 + -0.5. Put 2, -0.8, p, z in decreasing order. 2, -0.8, z, p Let k = -1 + 0. Suppose 1 + 19 = -2*n - d, 0 = -n - 5*d - 28. Let o be 3*(11 + n - (-4)/(-3)). Sort k, -3, o in ascending order. -3, k, o Let h be (-2)/(-12) - (-35)/6. Suppose -c + 5 = -h. Suppose 18 + 20 = 38*q. Put q, 5, c in decreasing order. c, 5, q Let s = 2673 + -2672. Put s, 3, 56, -1 in descending order. 56, 3, s, -1 Suppose 34*c + 53*c = -755 - 202. Sort -0.3, c, 5, -15. -15, c, -0.3, 5 Let y be 102 + 1 - 9/27*-6. Suppose 0 = 14*v + 49 + y. Put -5, 5, v in decreasing order. 5, -5, v Let g(a) = -a**2 - 62*a - 62. Let z be g(-1). Sort z, 3, 58, 0 in decreasing order. 58, 3, 0, z Let z = 112 - 46. Suppose -z*a = -59*a + 7. Suppose 5*y + k + 4*k = 10, 0 = -2*y + 5*k - 24. Put a, y, 0, 2 in ascending order. y, a, 0, 2 Let s = -0.0382208 - 0.0617792. Let p = 8543/182 - 626/13. Let y = p - -12/7. Sort y, 1/3, s in decreasing order. y, 1/3, s Let b = -24 + 10. Let q = 9 + b. Suppose -4379 = 102*m - 4787. Put q, 0, -1, m in decreasing order. m, 0, -1, q Let i(a) = 2*a**2 + 143*a - 1628. Let l be i(10). Let j = 0.1 - 0. Suppose 0 = -0*u + 3*u - 45. Sort -5, u, l, j in decreasing order. u, l, j, -5 Suppose 0 = -d - d - 4. Let s = -213 + -57. Let o = 271 + s. Sort -8, o, d in increasing order. -8, d, o Let b = -3523 + 10567/3. Sort -71/4, b, -3/5, -0.5 in descending order. -0.5, -3/5, b, -71/4 Let y = -33 - -28. Let u be (4 + y)*42/(-2). Suppose 5*b - u = -71. Put b, -1, 5 in decreasing order. 5, -1, b Let h be ((-4)/102)/(2/(-6)). Let j = -694 + 390. Let s = -322 - j. Sort s, h, -3. s, -3, h Let v be (-30)/4*20/(-25). Let f = 11 - v. Let h be (-38)/7 - -2 - (-45)/105. Sort f, h, -11 in ascending order. -11, h, f Let j(r) = r**3 + 10*r**2 + 28*r + 101. Let h be j(-8). Put h, -2.8, 15 in decreasing order. 15, h, -2.8 Suppose -o = 3*l - 235, 6*o - 4*o + 399 = 5*l. Let a = l + -75. Sort 0, a, 5, -1 in decreasing order. 5, a, 0, -1 Let a be (-62)/(-12) + 2/(-12). Let z(b) = 14*b - 1. Let m be z(a). Suppose m*g = 64*g - 5. Put -4, g, -9 in ascending order. -9, -4, g Suppose -3*o - 26 = -5*p, -o - 30 = 3*o - 2*p. Let s = -5 - -7. Let d be s*((-20)/(-8))/1. Put d, o, 1 in ascending order. o, 1, d Suppose -4*f + 44 = 16. Suppose -3*r + 2*b - 3*b - f = 0, -3*r = -4*b + 17. Let j = -71 + 76. Sort -5, r, j, 0 in decreasing order. j, 0, r, -5 Let i = 1956 + -1000. Let r = i + -4788/5. Sort r, -0.2, 2/7, -2/17 in ascending order. r, -0.2, -2/17, 2/7 Let k(i) = 13*i + 641. Let c be k(-10). Put -1, -2, c in increasing order. -2, -1, c Let w = 8463 - 8503. Put -1, w, -2/33, 1, 0 in descending order. 1, 0, -2/33, -1, w Let k = -1 + 5. Suppose d - 686 = -685. Sort k, 3, d, -3 in decreasing order. k, 3, d, -3 Let f = -44 + 34. Let h be 2068/924 - f/(-6). Put h, 65, 4 in ascending order. h, 4, 65 Suppose 227*o = 57*o - 5270. Sort -15, -5, o, 4 in increasing order. o, -15, -5, 4 Suppose 2*m + 3*t = 5*t + 16, -3*t - 6 = 0. Suppose -2*d - 13 + 29 = 2*i, -5*d + 22 = -i. Sort -3, m, i in decreasing order. m, i, -3 Let t be ((110/35)/1 - 5/35)/(-1). Put 4, t, 5, 6, 0 in increasing order. t, 0, 4, 5, 6 Let u be 3/15 - (-3)/(-15). Suppose 2*t + b = 7, t - b - 3*b + 1 = u. Let f(k) = k**2 - 8*k - 7. Let z be f(9). Sort t, -4, z in decreasing order. t, z, -4 Let z = -40.66 - -40.36. Put 27, -4.2, z in increasing order. -4.2, z, 27 Let n = 3 - 3. Let b = -1814 - -1809. Sort n, b, 13, -2. b, -2, n, 13 Let k = -68 + 134. Let v = -1610 - -1545. Let h = k + v. Sort h, -5, 2. -5, h, 2 Let c = 33 - 23. Suppose 0 = c*m - 13*m - 9. Let q be (m/(-5))/(204/40). Sort q, 1, 4. q, 1, 4 Let z = 19/21 + -251/231. Suppose -18*s - 30 - 60 = 0. Sort z, s, 2 in descending order. 2, z, s Let s = 14 - 23. Let u = -6 - s. Let p(m) = -m**3 - 5*m**2 + 7*m + 42. Let c be p(-4). Put u, -4, -29, c in descending order. u, c, -4, -29 Let o = -45.336 + 46.336. Let v be ((-2)/12)/((-1)/(-2)). Sort o, v, 0.05, 4 in decreasing order. 4, o, 0.05, v Let p = 0.3412 + -0.2412. Sort p, 1, -0.3, -9 in increasing order. -9, -0.3, p, 1 Let o = -157.8 + 157.6. Let n = 68.1 + -64. Put 0, n, o, -5 in ascending order. -5, o, 0, n Let p be 5/(14 + 1521
{ "pile_set_name": "DM Mathematics" }
How many kilograms are there in 1/20 of a tonne? 50 How many milligrams are there in thirty-seven halves of a gram? 18500 Convert 30.12508 litres to millilitres. 30125.08 How many seconds are there in seven halves of a hour? 12600 What is thirty-seven halves of a second in milliseconds? 18500 What is seventy-one fifths of a kilogram in grams? 14200 What is 43/4 of a meter in millimeters? 10750 How many millilitres are there in 279.1648l? 279164.8 How many millilitres are there in three tenths of a litre? 300 How many tonnes are there in 0.8811084ug? 0.0000000000008811084 How many micrograms are there in 51/2 of a milligram? 25500 Convert 47600.72 grams to tonnes. 0.04760072 What is 3/5 of a century in months? 720 How many seconds are there in 18353.88 weeks? 11100426624 Convert 287.3707 minutes to nanoseconds. 17242242000000 What is 7.446397 decades in millennia? 0.07446397 How many milligrams are there in fourty-one halves of a gram? 20500 What is 1/20 of a microgram in nanograms? 50 How many millilitres are there in fifty-seven fifths of a litre? 11400 Convert 19582.7604 hours to weeks. 116.56405 How many decades are there in 44/5 of a millennium? 880 How many milligrams are there in 6/5 of a gram? 1200 What is one sixteenth of a century in months? 75 How many micrograms are there in 4.251788 tonnes? 4251788000000 What is 33/5 of a millimeter in micrometers? 6600 Convert 408.1072 years to centuries. 4.081072 How many litres are there in 31.40911 millilitres? 0.03140911 What is 11/2 of a litre in millilitres? 5500 Convert 2.278021um to centimeters. 0.0002278021 What is 77.15965 weeks in nanoseconds? 46666156320000000 How many years are there in one quarter of a century? 25 Convert 7.278432ms to microseconds. 7278.432 What is 3/8 of a litre in millilitres? 375 How many minutes are there in 1/6 of a hour? 10 How many millilitres are there in 3/8 of a litre? 375 Convert 7617.17 weeks to minutes. 76781073.6 How many millimeters are there in 7/2 of a centimeter? 35 Convert 5.329293 litres to millilitres. 5329.293 What is one tenth of a tonne in grams? 100000 How many centimeters are there in 53/5 of a meter? 1060 Convert 3226.066g to milligrams. 3226066 How many millilitres are there in 1/10 of a litre? 100 What is eleven quarters of a kilogram in grams? 2750 Convert 49223.34 years to months. 590680.08 How many millilitres are there in 6/25 of a litre? 240 What is 9/10 of a meter in centimeters? 90 What is 0.36285 milliseconds in minutes? 0.0000060475 How many millilitres are there in 130.8886l? 130888.6 How many grams are there in 3.131375ug? 0.000003131375 Convert 931.7104 micrometers to kilometers. 0.0000009317104 How many millilitres are there in 5/4 of a litre? 1250 How many litres are there in 42.51324 millilitres? 0.04251324 What is 1/4 of a litre in millilitres? 250 What is three tenths of a litre in millilitres? 300 What is six fifths of a meter in centimeters? 120 Convert 788715.7 microseconds to seconds. 0.7887157 What is 5/24 of a century in months? 250 How many millilitres are there in 9972.335 litres? 9972335 How many nanometers are there in twenty-nine fifths of a micrometer? 5800 What is nineteen quarters of a milligram in micrograms? 4750 How many years are there in twenty-seven halves of a decade? 135 What is 6/25 of a microgram in nanograms? 240 How many millilitres are there in 3/40 of a litre? 75 What is twenty-five halves of a hour in minutes? 750 Convert 799115.5 hours to nanoseconds. 2876815800000000000 What is 850357.4l in millilitres? 850357400 What is 2934.649cm in meters? 29.34649 What is twenty-five eighths of a millimeter in micrometers? 3125 How many kilometers are there in 0.9090195nm? 0.0000000000009090195 What is 0.2354494ng in grams? 0.0000000002354494 Convert 5.406108l to millilitres. 5406.108 What is 675.0604ug in kilograms? 0.0000006750604 Convert 80.31563 nanometers to kilometers. 0.00000000008031563 Convert 7955.182l to millilitres. 7955182 How many millennia are there in 0.4260706 centuries? 0.04260706 How many millilitres are there in 1/5 of a litre? 200 How many decades are there in twenty-nine halves of a century? 145 What is thirteen fifths of a centimeter in micrometers? 26000 Convert 2008.509ml to litres. 2.008509 What is 3/10 of a microsecond in nanoseconds? 300 Convert 433606.5 litres to millilitres. 433606500 Convert 0.6616152 meters to millimeters. 661.6152 What is 6/5 of a gram in milligrams? 1200 How many millilitres are there in 34/5 of a litre? 6800 What is seventy-one quarters of a week in hours? 2982 How many millilitres are there in 1/4 of a litre? 250 What is 9622.768nm in millimeters? 0.009622768 How many micrometers are there in thirty-one fifths of a centimeter? 62000 What is five quarters of a millennium in years? 1250 What is 0.8077313 years in millennia? 0.0008077313 What is 676.3352 hours in microseconds? 2434806720000 What is 2/45 of a week in minutes? 448 How many months are there in 62190.91 centuries? 74629092 What is 9/10 of a gram in milligrams? 900 How many millimeters are there in seventeen halves of a centimeter? 85 What is one fifth of a millennium in years? 200 What is 3/40 of a meter in micrometers? 75000 Convert 26.48063 kilometers to nanometers. 26480630000000 How many kilometers are there in 0.9283498 millimeters? 0.0000009283498 Convert 8040.81 years to months. 96489.72 What is 0.8185852ml in litres? 0.0008185852 Convert 23.05002g to milligrams. 23050.02 What is 3/50 of a gram in milligrams? 60 How many centuries are there in thirty-four fifths of a millennium? 68 Convert 763.6272 meters to micrometers. 763627200 What is twenty-one quarters of a kilometer in meters? 5250 What is 29/5 of a day in minutes? 8352 What is 3/50 of a day in seconds? 5184 What is three fifths of a millennium in years? 600 What is seventeen halves of a century in decades? 85 How many micrograms are there in 94.15085 nanograms? 0.09415085 What is thirty-seven halves of a kilogram in grams? 18500 How many decades are there in seventeen halves of a century? 85 How many litres are there in 7.816676 millilitres? 0.007816676 What is 7/6 of a decade in months? 140 What is 1/5 of a centimeter in millimeters? 2 How many millilitres are there in 1/4 of a litre? 250 What is 6/5 of a litre in millilitres? 1200 How many hours are there in 697679.1s? 193.79975 Convert 45430.09 centuries to months. 54516108 What is 27.7404l in millilitres? 27740.4 What is 5/4 of a litre in millilitres? 1250 What is 37/2 of a century in decades? 185 What is 85545.93t in micrograms? 85545930000000000 How many tonnes are there in 718430.5g? 0.7184305 Convert 82398.18 hours to milliseconds. 296633448000 Convert 88892.29 nanometers to centimeters. 0.008889229 What is 23/3 of a week in hours? 1288 How many millilitres are there in 423988.5 litres? 423988500 How many grams are there in 157599.5kg? 157599500 How many nanograms are there in 1/4 of a microgram? 250 What is 818681.9ml in litres? 818.6819 What is thirty-seven halves of a meter in millimeters? 18500 What is 40.873959 days in weeks? 5.839137 Convert 0.7676421 meters to centimeters. 76.76421 What is 0.8107516 litres in millilitres? 810.7516 How many kilograms are there in twenty-six fifths of a tonne? 5200 What is fifty-seven halves of a meter in millimeters? 28500 How many millilitres are there in 34018.26l? 34018260 Convert 43465.64 decades to months. 5215876.8 Convert 160761.6 seconds to hours. 44.656 How many centimeters are there in 347.1032 micrometers? 0.03471032 How many micrograms are there in five quarters of a milligram? 1250 How many millilitres are there in 27/2 of a litre? 13500 What is 18/5 of a litre in millilitres? 3600 What is 941500.4 tonnes in micrograms? 941500400000000000 What is 43/4 of a litre in millilitres? 10750 What is 600.8669mm in nanometers? 600866900 How many millimeters are there in one fifth of a meter? 200 What is 5.469309 years in months? 65.631708 What is 71/5 of a litre in millilitres? 14200 How many centimeters are there in twenty-one halves of a meter? 1050 What is 3/5 of a day in minutes? 864 What is 23/3 of a century in months? 9200 How many grams are there in 0.083942 milligrams? 0.000083942 How many milliseconds are there
{ "pile_set_name": "DM Mathematics" }
11349997 List the prime factors of 24424441. 24424441 What are the prime factors of 77882506? 2, 13, 2995481 List the prime factors of 124131333. 3, 569, 72719 List the prime factors of 280477324. 2, 347, 397, 509 List the prime factors of 126545988. 2, 3, 113, 93323 What are the prime factors of 147173268? 2, 3, 11, 101359 List the prime factors of 3439088638. 2, 17107, 100517 List the prime factors of 899205035. 5, 43, 97, 43117 What are the prime factors of 937023929? 937023929 What are the prime factors of 26785828? 2, 181, 36997 What are the prime factors of 46174471? 7, 73, 109, 829 List the prime factors of 72848146. 2, 7, 5203439 What are the prime factors of 2550176726? 2, 53, 24058271 List the prime factors of 3717976049. 57271, 64919 What are the prime factors of 1680774839? 37, 45426347 What are the prime factors of 928556875? 5, 157, 9463 What are the prime factors of 313787589? 3, 347, 301429 List the prime factors of 7613291431. 19, 2693, 148793 List the prime factors of 538327982. 2, 67, 479, 8387 List the prime factors of 885875293. 43, 103, 200017 What are the prime factors of 1459208? 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2, 5, 61, 89, 6271 List the prime factors of 1286291891. 10781, 119311 List the prime factors of 334073408. 2, 5219897 What are the prime factors of 265327723? 19, 13964617 What are the prime factors of 71899507? 71899507 What are the prime factors of 50952857? 50952857 List the prime factors of 181238418. 2, 3, 3356267 List the prime factors of 43357839. 3, 7, 73, 28283 List the prime factors of 1455260766. 2, 3, 242543461 What are the prime factors of 2146621187? 227, 9456481 What are the prime factors of 60778009? 17, 127, 28151 What are the prime factors of 221779673? 31, 7154183 What are the prime factors of 154180924? 2, 37, 59, 17657 List the prime factors of 40701625. 5, 359, 907 List the prime factors of 65347744. 2, 7, 11, 2411 List the prime factors of 38788341. 3, 29, 211, 2113 List the prime factors of 60590210. 2, 5, 17, 41, 8693 What are the prime factors of 876682? 2, 438341 What are the prime factors of 204504304? 2, 1471, 8689 List the prime factors of 872181398. 2, 11, 1949, 20341 List the prime factors of 199037173. 17, 11708069 List the prime factors of 83850790. 2, 5, 1907, 4397 List the prime factors of 10686987. 3, 19, 62497 List the prime factors of 806745918. 2, 3, 11, 2659, 4597 What are the prime factors of 986556035? 5, 10357, 19051 List the prime factors of 2175045168. 2, 3, 45313441 List the prime factors of 5182976303. 17, 304880959 List the prime factors of 963478986. 2, 3, 160579831 What are the prime factors of 1519076031? 3, 11, 46032607 List the prime factors of 321329422. 2, 1019, 157669 List the prime factors of 218021115. 3, 5, 13, 137, 8161 What are the prime factors of 96759846? 2, 3, 139, 4297 What are the prime factors of 69626881? 47, 829, 1787 List the prime factors of 234362247. 3, 7, 1594301 List the prime factors of 39986198. 2, 7, 347, 8231 List the prime factors of 124654865. 5, 24930973 List the prime factors of 1064752419. 3, 19, 2621, 7127 What are the prime factors of 168787224? 2, 3, 2344267 What are the prime factors of 40373430? 2, 3, 5, 1345781 List the prime factors of 122186584. 2, 13, 181, 6491 What are the prime factors of 55730686? 2, 11, 19, 133327 What are the prime factors of 446960079? 3, 107, 131, 1181 List the prime factors of 1599333529. 43, 37193803 List the prime factors of 474977527. 43, 11045989 What are the prime factors of 273543779? 19, 2099 What are the prime factors of 1265805049? 1265805049 List the prime factors of 86712302. 2, 43356151 What are the prime factors of 19969417? 13, 67, 101, 227 What are the prime factors of 19323807? 3, 6441269 What are the prime factors of 50338978? 2, 31, 811919 What are the prime factors of 4956869364? 2, 3, 413072447 List the prime factors of 298874486. 2, 4099, 36457 What are the prime factors of 353403017? 11, 367, 87541 What are the prime factors of 24435866? 2, 7, 13, 134263 List the prime factors of 5834691. 3, 19, 149, 229 What are the prime factors of 200877598? 2, 4127, 24337 List the prime factors of 9403249555. 5, 7, 103, 181, 14411 List the prime factors of 4260092658. 2, 3, 10067, 70529 What are the prime factors of 110389958? 2, 7, 41, 192317 List the prime factors of 258412407. 3, 11, 19, 367, 1123 What are the prime factors of 312997066? 2, 67, 409, 5711 What are the prime factors of 2601744198? 2, 3, 2063, 210191 What are the prime factors of 3376790? 2, 5, 43, 7853 List the prime factors of 46158257. 5417, 8521 What are the prime factors of 27111395? 5, 419, 12941 What are the prime factors of 85664351? 23, 3724537 List the prime factors of 127951280. 2, 5, 193, 8287 List the prime factors of 1600927803. 3, 29, 37, 165779 What are the prime factors of 32645851? 7, 29, 160817 List the prime factors of 56535164. 2, 7, 2019113 List the prime factors of 589994769. 3, 7, 13, 457, 4729 List the prime factors of 114926598. 2, 3, 6384811 List the prime factors of 384359842. 2, 271, 709151 List the prime factors of 37553073. 3, 12517691 List the prime factors of 225634275. 3, 5, 31, 41, 263 List the prime factors of 2231991798. 2, 3, 43, 541, 15991 List the prime factors of 550253424. 2, 3, 7, 29, 149, 379 List the prime factors of 974117. 17, 57301 What are the prime factors of 3924648341? 19, 7369, 28031 What are the prime factors of 17024252? 2, 7, 103, 5903 What are the prime factors of 2606217273? 3, 11, 26325427 List the prime factors of 26647474. 2, 7, 37, 7349 List the prime factors of 3271962360. 2, 3, 5, 41, 431, 1543 What are the prime factors of 213699412? 2, 47, 1136699 List the prime factors of 116813040. 2, 3, 5, 486721 List the prime factors of 676228030. 2, 5, 67622803 List the prime factors of 38955367. 11, 3541397 List the prime factors of 3656690. 2, 5, 365669 List the prime factors of 423655673. 7, 19, 67, 47543 List the prime factors of 34663061. 34663061 What are the prime factors of 1251830560? 2, 5, 1123, 6967 List the prime factors of 187778540. 2, 5, 359, 26153 List the prime factors of 103376323. 173, 597551 What are the prime factors of 4019032534? 2, 11, 182683297 List the prime factors of 14688543. 3, 4896181 List the prime factors of 568974587. 467, 761, 1601 What are the prime factors of 2334151? 17, 137303 List the prime factors of 1527495584. 2, 263, 181499 List the prime factors of 871046622. 2, 3, 1792277 What are the prime factors of 699147532? 2, 174786883 What are the prime factors of 175513322? 2, 23, 47, 81181 List the prime factors of 304997419. 304997419 List the prime factors of 33051759. 3, 13, 23, 36847 List the prime factors of 131649710. 2, 5, 1433, 9187 What are the prime factors of 80896284? 2, 3, 7, 321017 What are the prime factors of 68273085? 3, 5, 23, 197893 What are the prime factors of 45009782? 2, 22504891 What are the prime factors of 2186594079? 3, 97, 193, 38933 List the prime factors of 205067779. 7, 19, 1541863 List the prime factors of 229990659. 3, 76663553 What are the prime factors of 14285655? 3, 5, 317459 List the prime factors of 93171559. 13, 551311 What are the prime factors of 61349844? 2, 3, 5112487 What are the prime factors of 12268440
{ "pile_set_name": "DM Mathematics" }
1/60 Four letters picked without replacement from iixqiiririqqxqr. What is prob of sequence iixi? 2/273 Calculate prob of sequence yxzy when four letters picked without replacement from gyoyzxgxooyxgygcgyy. 5/5168 Calculate prob of sequence qd when two letters picked without replacement from {q: 3, d: 3}. 3/10 What is prob of sequence ek when two letters picked without replacement from kwwekyvkk? 1/18 Four letters picked without replacement from {v: 1, t: 1, y: 1, a: 6, g: 1, s: 1}. Give prob of sequence tgav. 1/1320 Three letters picked without replacement from ddtddjtddfffddj. What is prob of sequence dfd? 4/65 Four letters picked without replacement from mmmlzmmmmmsmlllmmzm. What is prob of sequence mlsm? 11/1938 Two letters picked without replacement from {j: 1, k: 1, p: 1, m: 1, n: 3}. What is prob of sequence pj? 1/42 Calculate prob of sequence kk when two letters picked without replacement from ffkfkufuuuufff. 1/91 Calculate prob of sequence xxxm when four letters picked without replacement from {x: 4, m: 3, b: 2, e: 1}. 1/70 What is prob of sequence pppd when four letters picked without replacement from cmdcdps? 0 Three letters picked without replacement from vvvvvvvvvvivivvvvvvv. Give prob of sequence ivi. 1/190 Two letters picked without replacement from qssossysssoy. What is prob of sequence sq? 7/132 Two letters picked without replacement from {r: 2, q: 1, a: 3, k: 3, l: 2, m: 1}. Give prob of sequence rq. 1/66 What is prob of sequence grbx when four letters picked without replacement from {b: 1, r: 1, x: 2, p: 1, g: 2}? 1/210 Two letters picked without replacement from {j: 1, f: 2, t: 2, h: 2, r: 1}. Give prob of sequence tf. 1/14 Two letters picked without replacement from sgs. Give prob of sequence ss. 1/3 Calculate prob of sequence xoo when three letters picked without replacement from {x: 4, s: 6, o: 9}. 16/323 Calculate prob of sequence cca when three letters picked without replacement from hcblcbaccbb. 2/165 What is prob of sequence mlly when four letters picked without replacement from {y: 1, m: 1, l: 2}? 1/12 Four letters picked without replacement from yqytt. Give prob of sequence qtyy. 1/30 Two letters picked without replacement from {x: 3, v: 7}. Give prob of sequence xx. 1/15 Two letters picked without replacement from uuhhuuuuuuh. What is prob of sequence hh? 3/55 Three letters picked without replacement from iigiiaiiiigaagigii. Give prob of sequence iii. 55/272 Two letters picked without replacement from apabnugng. Give prob of sequence bn. 1/36 Calculate prob of sequence ye when two letters picked without replacement from fyyffeyyyfyef. 1/13 Two letters picked without replacement from ydpffayadtpd. Give prob of sequence ft. 1/66 Four letters picked without replacement from {q: 1, s: 6, o: 10}. Give prob of sequence ooss. 45/952 Calculate prob of sequence sl when two letters picked without replacement from vhvls. 1/20 Calculate prob of sequence cu when two letters picked without replacement from ucuuclccclccuulcquc. 3/19 Four letters picked without replacement from {q: 2, f: 1, y: 1, a: 1, i: 1, m: 2}. What is prob of sequence mqqm? 1/420 What is prob of sequence dn when two letters picked without replacement from dppinppddppx? 1/44 Calculate prob of sequence qqbb when four letters picked without replacement from {b: 9, q: 2}. 1/55 Four letters picked without replacement from {z: 1, u: 2, j: 4, v: 1, f: 1, a: 3}. What is prob of sequence vfja? 1/990 Calculate prob of sequence sxzp when four letters picked without replacement from sccccxhzhchhhp. 1/24024 Three letters picked without replacement from adiilaa. Give prob of sequence ili. 1/105 Calculate prob of sequence vr when two letters picked without replacement from {l: 4, r: 1, i: 6, v: 3}. 3/182 Four letters picked without replacement from ehnejshnhenjenjheeg. Give prob of sequence ehsn. 1/969 What is prob of sequence ss when two letters picked without replacement from {y: 5, o: 2, s: 2}? 1/36 Calculate prob of sequence wb when two letters picked without replacement from jwjjjjjejwejjwbj. 1/80 Two letters picked without replacement from pptptpttptppt. Give prob of sequence tt. 5/26 Four letters picked without replacement from jjcjjjcgcjccjgj. Give prob of sequence cgjc. 8/819 What is prob of sequence fgfq when four letters picked without replacement from {f: 7, q: 3, c: 2, t: 1, g: 4}? 3/340 Three letters picked without replacement from vyyvyvyvvjy. Give prob of sequence yvj. 5/198 Two letters picked without replacement from zxzzzzzz. Give prob of sequence zz. 3/4 Calculate prob of sequence gxe when three letters picked without replacement from {x: 2, g: 1, p: 1, o: 2, e: 2, n: 1}. 1/126 Three letters picked without replacement from qjnuujujwjunjundu. What is prob of sequence jwq? 1/816 Four letters picked without replacement from sgpnsn. What is prob of sequence gpns? 1/90 Calculate prob of sequence ae when two letters picked without replacement from {n: 3, d: 3, c: 10, e: 1, a: 2}. 1/171 Two letters picked without replacement from {s: 3, j: 2, z: 3, l: 12}. Give prob of sequence sz. 9/380 What is prob of sequence zksb when four letters picked without replacement from {s: 1, k: 1, z: 3, b: 1, l: 8, h: 2}? 1/14560 Three letters picked without replacement from ztravvvrv. Give prob of sequence vrv. 1/21 Two letters picked without replacement from {s: 1, u: 1, w: 1, h: 6, l: 1, d: 1}. Give prob of sequence sh. 3/55 Calculate prob of sequence dxt when three letters picked without replacement from {z: 3, x: 3, d: 2, t: 2, g: 1, u: 3}. 1/182 Calculate prob of sequence orr when three letters picked without replacement from {r: 7, o: 1, b: 5}. 7/286 Three letters picked without replacement from {v: 5, k: 8}. What is prob of sequence vkk? 70/429 Calculate prob of sequence kdd when three letters picked without replacement from {d: 14, k: 5}. 455/2907 Two letters picked without replacement from {b: 11, q: 3}. Give prob of sequence bb. 55/91 Two letters picked without replacement from {n: 1, g: 1, s: 1, r: 4, e: 1}. What is prob of sequence sg? 1/56 Two letters picked without replacement from vvvnvnvvvvvvv. Give prob of sequence nv. 11/78 Three letters picked without replacement from aaaaaa. What is prob of sequence aaa? 1 Four letters picked without replacement from {m: 2, i: 1, e: 4, h: 3}. What is prob of sequence mmei? 1/630 Calculate prob of sequence qdd when three letters picked without replacement from {i: 1, w: 1, q: 5, g: 1, d: 2}. 1/72 Two letters picked without replacement from kdwbymdm. Give prob of sequence kd. 1/28 Two letters picked without replacement from {w: 4, m: 1, k: 3, d: 6, u: 1}. What is prob of sequence kk? 1/35 What is prob of sequence ek when two letters picked without replacement from {e: 9, k: 10}? 5/19 Two letters picked without replacement from {e: 1, j: 3, p: 1, v: 1, x: 1}. What is prob of sequence ve? 1/42 Four letters picked without replacement from cnnnncnnccn. What is prob of sequence ccnc? 7/330 Three letters picked without replacement from wdwddvdvuvdywcvwvvv. What is prob of sequence uyd? 5/5814 What is prob of sequence sses when four letters picked without replacement from sesssseesse? 7/66 Two letters picked without replacement from {h: 5, g: 2, z: 1, i: 3, o: 1}. Give prob of sequence zg. 1/66 What is prob of sequence yrs when three letters picked without replacement from jsfysxr? 1/105 Three letters picked without replacement from {c: 3, e: 7, n: 3, b: 5, l: 2}. Give prob of sequence lle. 7/3420 Two letters picked without replacement from {o: 9, g: 5, n: 1, k: 1}. Give prob of sequence kn. 1/240 What is prob of sequence zjjz when four letters picked without replacement from tzkjklbzzltljl? 1/2002 What is prob of sequence dppt when four letters picked without replacement from ddrwtwddppaa? 1/1485 Two letters picked without replacement from peeepypeeep. What is prob of sequence ye? 3/55 Calculate prob of sequence ao when two letters picked without replacement from aawnaanaoanbwobwoa. 7/102 Three letters picked without replacement from {q: 2, p: 4, d: 9, s: 3}. Give prob of sequence dds. 3/68 Calculate prob of sequence mfw when three letters picked without replacement from sbwffmf. 1/70 Three letters picked without replacement fro
{ "pile_set_name": "DM Mathematics" }
114? z**3 - z**2 + 3*z - 1 What is the b'th term of -62, -290, -670, -1202, -1886, -2722, -3710? -76*b**2 + 14 What is the w'th term of -8, -2, 14, 46, 100? w**3 - w**2 + 2*w - 10 What is the f'th term of -79, -171, -277, -403, -555, -739, -961? -f**3 - f**2 - 82*f + 5 What is the i'th term of 46, 91, 136, 181, 226, 271? 45*i + 1 What is the k'th term of -18, -22, -40, -78, -142, -238, -372, -550? -k**3 - k**2 + 6*k - 22 What is the p'th term of 930, 931, 932, 933, 934, 935? p + 929 What is the b'th term of 303, 607, 911, 1215? 304*b - 1 What is the n'th term of -146, -234, -308, -362, -390, -386? n**3 + n**2 - 98*n - 50 What is the i'th term of 127, 134, 151, 184, 239, 322, 439? i**3 - i**2 + 3*i + 124 What is the f'th term of -6, -25, -44, -63, -82, -101? -19*f + 13 What is the r'th term of -3, -32, -71, -114, -155, -188, -207? r**3 - 11*r**2 - 3*r + 10 What is the n'th term of -69, -65, -59, -51, -41? n**2 + n - 71 What is the w'th term of 259, 508, 757, 1006, 1255, 1504? 249*w + 10 What is the y'th term of 584, 577, 566, 551, 532, 509? -2*y**2 - y + 587 What is the r'th term of 34, 134, 302, 538? 34*r**2 - 2*r + 2 What is the a'th term of 4, -8, -50, -140, -296? -3*a**3 + 3*a**2 + 4 What is the d'th term of -20, -30, -38, -38, -24, 10, 70, 162? d**3 - 5*d**2 - 2*d - 14 What is the q'th term of 275, 289, 303, 311, 307, 285, 239? -q**3 + 6*q**2 + 3*q + 267 What is the f'th term of 22, -60, -194, -380, -618, -908, -1250? -26*f**2 - 4*f + 52 What is the r'th term of -341396, -341401, -341418, -341453, -341512, -341601? -r**3 + 2*r - 341397 What is the x'th term of -7, 15, 51, 101? 7*x**2 + x - 15 What is the r'th term of -50, -10, 56, 148, 266, 410, 580? 13*r**2 + r - 64 What is the p'th term of -3398, -3403, -3420, -3455, -3514? -p**3 + 2*p - 3399 What is the l'th term of -461, -466, -473, -482, -493? -l**2 - 2*l - 458 What is the t'th term of -19, -9, 23, 89, 201, 371, 611? 2*t**3 - t**2 - t - 19 What is the l'th term of 1034, 1104, 1228, 1412, 1662, 1984? l**3 + 21*l**2 + 1012 What is the n'th term of -68, -177, -476, -1061, -2028, -3473, -5492? -16*n**3 + n**2 - 53 What is the g'th term of -32, -112, -248, -440, -688, -992, -1352? -28*g**2 + 4*g - 8 What is the l'th term of 102, 97, 92, 87, 82? -5*l + 107 What is the r'th term of 9, 15, 21, 27? 6*r + 3 What is the r'th term of 199, 205, 225, 265, 331, 429? r**3 + r**2 - 4*r + 201 What is the d'th term of -302, -608, -914, -1220, -1526? -306*d + 4 What is the n'th term of 46, 57, 92, 163, 282? 2*n**3 - 3*n + 47 What is the b'th term of -200, -787, -1766, -3137, -4900? -196*b**2 + b - 5 What is the i'th term of 25, 215, 739, 1765, 3461? 28*i**3 - i**2 - 3*i + 1 What is the i'th term of 23, 7, -33, -109, -233, -417, -673? -2*i**3 - 2*i + 27 What is the v'th term of 82, 178, 262, 328, 370, 382? -v**3 + 103*v - 20 What is the v'th term of -149, -130, -111, -92, -73? 19*v - 168 What is the g'th term of -592, -2363, -5316, -9451, -14768, -21267? -591*g**2 + 2*g - 3 What is the b'th term of -94, -86, -72, -52? 3*b**2 - b - 96 What is the y'th term of 173, 163, 155, 149? y**2 - 13*y + 185 What is the g'th term of -8, -13, -28, -59, -112, -193, -308? -g**3 + g**2 - g - 7 What is the g'th term of 39194, 39189, 39182, 39173? -g**2 - 2*g + 39197 What is the h'th term of 213, 316, 435, 576, 745, 948, 1191? h**3 + 2*h**2 + 90*h + 120 What is the i'th term of -318, -313, -312, -321, -346, -393? -i**3 + 4*i**2 - 321 What is the t'th term of 855, 1706, 2557, 3408, 4259, 5110? 851*t + 4 What is the m'th term of 1035, 1025, 1001, 957, 887, 785? -m**3 - m**2 + 1037 What is the u'th term of -30, 10, 50? 40*u - 70 What is the k'th term of -697, -1396, -2095, -2794, -3493, -4192? -699*k + 2 What is the w'th term of -434, -868, -1302, -1736? -434*w What is the f'th term of 1, -89, -357, -893, -1787? -15*f**3 + f**2 + 12*f + 3 What is the d'th term of 81, 67, 53, 39, 25, 11? -14*d + 95 What is the o'th term of 2887, 5774, 8661, 11548? 2887*o What is the t'th term of 26, 54, 84, 116, 150? t**2 + 25*t What is the i'th term of -46, -56, -54, -34, 10, 84, 194? i**3 - 17*i - 30 What is the k'th term of -100, -185, -270, -355, -440, -525? -85*k - 15 What is the c'th term of 85, 8, -69? -77*c + 162 What is the d'th term of 101, 378, 1125, 2576, 4965? 39*d**3 + d**2 + d + 60 What is the k'th term of -22, -26, -30, -34? -4*k - 18 What is the h'th term of 26, 188, 640, 1526, 2990? 24*h**3 + h**2 - 9*h + 10 What is the q'th term of -3334, -6670, -10016, -13378, -16762, -20174, -23620? -q**3 + q**2 - 3332*q - 2 What is the h'th term of -62, -64, -66, -68? -2*h - 60 What is the o'th term of 120, 122, 124, 126? 2*o + 118 What is the u'th term of -38, -35, -32, -29, -26? 3*u - 41 What is the j'th term of 9, -23, -67, -117, -167, -211, -243? j**3 - 12*j**2 - 3*j + 23 What is the v'th term of 2140, 2142, 2144, 2146? 2*v + 2138 What is the j'th term of 22, 55, 102, 157, 214, 267, 310? -j**3 + 13*j**2 + j + 9 What is the p'th term of 660, 654, 644, 630, 612, 590? -2*p**2 + 662 What is the s'th term of 594, 596, 598, 600? 2*s + 592 What is the a'th term of -68, -125, -174, -215, -248? 4*a**2 - 69*a - 3 What is the j'th term of -110, -219, -328, -437, -546? -109*j - 1 What is the t'th term of -2479, -2463, -2413, -2311, -2139? 3*t**3 - t**2 - 2*t - 2479 What is the q'th term of -12, -67, -156, -273, -412, -567, -732? q**3 - 23*q**2 + 7*q + 3 What is the k'th term of -42, -85, -108, -99, -46? 2*k**3 - 2*k**2 - 51*k + 9 What is the x'th term of 495, 991, 1487, 1983, 2479, 2975? 496*x - 1 What is the d'th term of -4, 113, 432, 1055, 2084? 17*d**3 - d**2 + d - 21 What is the g'th term of -98, -91, -84, -77, -70? 7*g - 105 What is the m'th term of -581, -583, -585? -2*m - 579 What is the s'th term of 13, 7, -3, -17, -35? -2*s**2 + 15 What is the d'th term of -154, -314, -478, -646, -818, -994, -1174? -2*d**2 - 154*d + 2 What is the f'th term of -25, -37, -45, -49, -49, -45? 2*f**2 - 18*f - 9 What is the f'th term of 242, 242, 234, 212, 170, 102? -f**3 + 2*f**2 + f + 240 What is the z'th term of 145, 148, 151? 3*z + 142 What is the r'th term of 1, -120, -361, -722? -60*r**2 + 59*r + 2 What is the d'th term of 980, 988, 1002, 1022, 1048, 1080, 1118? 3*d**2 - d + 978 What is the k'th term of 165, 180, 205, 240, 285, 340? 5*k**2 + 160 What is the x'th term of -188, -371, -552, -731, -908? x**2 - 186*x - 3 What is the h'th term of -45, -54, -69, -90, -117, -150? -3*h**2 - 42 What is the t'th term of -121, -242, -363? -121*t What is the m'th term of 5, 6, 5, 2, -3, -10, -19? -m**2 + 4*m + 2 What is the b'th term of -157, -312, -467? -155*b - 2 What is the z'th term of -255, -502, -753, -1008, -1267, -1530? -2*z**2 - 241*z - 12 What is the q'th term of -358, -343, -312, -259, -178, -63? q**3 + 2*q**2 + 2*q - 363 What is the p'th term of 11, 5, 5, 17, 47, 101? p**3 - 3*p**2 - 4*p + 17 What is the j'th term of -56, -58, -60, -62? -2*j - 54 What is the c'th term of -244, -251, -272, -313, -380? -c**3 - c**2 + 3*c - 245 What is the r'th term of 23, 12, 1, -4, 3, 28, 77, 156? r**3 - 6*r**2 + 28 What is the i'th term of -12, 2, 32, 84, 164, 278, 432, 632? i**3 + 2*i**2 + i - 16 What is the i'th term of -19, -38, -57, -70, -71? i**3 - 6*i**2 - 8*i - 6 What is the j'th term of -176, -346, -516, -686, -856? -170*j - 6 What is the v'th term of 119, 500, 1135, 2024, 3167, 4564? 127*v**2 - 8 What is the i'th term of -76, -580, -1954, -4636, -9064, -15676, -24910? -73*i**3 + 3*i**2 - 2*i - 4 What is the q'th term of -344, -685, -1026? -341*q - 3 What is the m'th term of 27, -31, -187, -489, -985, -1723, -2751, -4117? -8*m**3 - m**2 + m + 35 What is the o'th term of -32, -45, -60, -77? -o**2 - 10*o - 21 What is the j'th term of -4, -14, -30, -52, -80? -3*j**2 - j What is the g'th term of 228, 237, 252, 273, 300, 333? 3*g**2 + 225 What is the i'th term of -9, -24, -47, -78, -117? -4*i**2 - 3*i - 2 What is the q'th term of 534, 1066, 1598, 2130, 2662, 3194? 532*q + 2 What is the d'th term of 692, 688, 682, 674, 664? -d**2 - d + 694 What is the x'th term of -14, -37, -96, -209, -394, -669, -1052? -3*x**3 - 2*x - 9 What is the b'th term of 4644, 4642, 4640, 4638, 4636? -2*b + 4646 What is the g'th term of 8478, 16959, 25440, 33921, 42402, 50883? 8481*g - 3 Wha
{ "pile_set_name": "DM Mathematics" }
number? True Is 7136131 a prime number? True Is 778823 prime? False Is 285198377 a composite number? False Is 6105437 a prime number? False Is 991241 a composite number? True Is 1517627 composite? False Is 3411599 a prime number? True Is 15727 a composite number? False Is 14346723 a composite number? True Is 5169893 composite? False Is 351535955 a composite number? True Is 5325601 prime? False Is 4373207 prime? True Is 762804359 composite? False Is 26094889 composite? True Is 3738209 a composite number? False Is 23759239 prime? False Is 3613847 prime? True Is 2080577 a prime number? True Is 16289807 a prime number? True Is 57280807 composite? False Is 8785913 prime? True Is 499937 a prime number? False Is 23949379 composite? True Is 16480469 composite? True Is 138868417 composite? True Is 91663193 a composite number? False Is 91083893 a prime number? False Is 6490871 prime? True Is 3302909 a composite number? True Is 123471983 a prime number? True Is 900689 a prime number? True Is 1890211 composite? False Is 10579301 prime? True Is 99056423 a prime number? False Is 1025191 a composite number? True Is 121730923 prime? True Is 31940747 a composite number? False Is 195982789 prime? True Is 10541759 prime? True Is 55809433 prime? True Is 247256479 a composite number? False Is 889579 a prime number? True Is 15527767 a composite number? True Is 4979789 composite? False Is 3213437 composite? True Is 6884147 a composite number? False Is 5443051 composite? False Is 5039903 a composite number? True Is 14588933 a composite number? True Is 119713829 a composite number? True Is 3843583 composite? True Is 816211 composite? True Is 9798499 a prime number? True Is 865333 a composite number? True Is 33473399 prime? False Is 12469907 composite? False Is 249948019 a prime number? False Is 594964807 a composite number? True Is 1713043 prime? True Is 6326171 a composite number? True Is 3436789 a composite number? True Is 2945591 composite? True Is 2415079 prime? True Is 5505121 a composite number? False Is 1822729 a composite number? True Is 607573 a composite number? False Is 139019674 a composite number? True Is 38570639 a prime number? True Is 3513899 prime? False Is 14665769 a prime number? True Is 557239 a composite number? True Is 200219 composite? True Is 53500593 composite? True Is 3467029 prime? False Is 149855347 a prime number? False Is 64678399 a composite number? True Is 35630551 prime? False Is 13992629 a composite number? True Is 443090779 a prime number? True Is 35583701 prime? True Is 585797 a composite number? True Is 409177549 composite? True Is 599749 prime? False Is 5924939 composite? False Is 179313301 composite? False Is 379835753 a prime number? False Is 1485593 a prime number? False Is 79880287 a prime number? True Is 50881539 composite? True Is 73985369 prime? False Is 33161867 composite? False Is 167261 composite? False Is 3879101 composite? False Is 261391 a composite number? True Is 4642265 a prime number? False Is 35960291 a prime number? True Is 50751463 prime? False Is 252761483 composite? True Is 421783 a prime number? True Is 3447019 a composite number? False Is 14838497 a composite number? True Is 630493 composite? False Is 18440231 a composite number? False Is 2915351 prime? True Is 692751569 a prime number? True Is 1481071 a prime number? True Is 3782407 a composite number? False Is 2112217 a prime number? True Is 92260019 a prime number? True Is 65573 composite? True Is 534119 a composite number? True Is 24997627 composite? False Is 24840569 a prime number? False Is 1055867 a prime number? True Is 742823 a composite number? True Is 119777303 prime? False Is 567601403 a prime number? True Is 26729107 prime? True Is 1373321 a prime number? True Is 3005713 a composite number? True Is 44765081 a composite number? True Is 103174079 composite? True Is 500898179 a composite number? True Is 676243 a composite number? True Is 39808831 a prime number? True Is 1231567 composite? True Is 715199413 prime? True Is 1549019 composite? True Is 106173017 composite? True Is 818834851 a prime number? True Is 31349293 a prime number? False Is 73329107 composite? False Is 460351 a composite number? True Is 776327 a prime number? True Is 103120873 a prime number? True Is 273053863 prime? True Is 3089651 a composite number? True Is 9847121 prime? False Is 1494733 composite? True Is 13800571 composite? True Is 27231233 composite? False Is 7828307 a composite number? True Is 4271495 composite? True Is 1999139 a composite number? True Is 2709233 a composite number? False Is 21118109 a prime number? False Is 6196933 a composite number? False Is 141144121 a prime number? False Is 3229057 a composite number? True Is 1522427 composite? False Is 164698 a composite number? True Is 480929 a composite number? False Is 52398977 a prime number? True Is 31467061 prime? False Is 823478077 a prime number? True Is 4804697 a prime number? True Is 26391671 composite? False Is 121776451 composite? False Is 1848109 prime? False Is 13806967 a prime number? False Is 42925871 composite? False Is 455623 a composite number? True Is 10466539 prime? False Is 21685 a prime number? False Is 1721221 a prime number? False Is 100202363 a composite number? False Is 48816687 a prime number? False Is 93412043 a prime number? False Is 319113367 prime? True Is 12086317 a prime number? True Is 8382977 a prime number? True Is 139922219 prime? True Is 3072211 a prime number? True Is 245128453 prime? False Is 2297951 a composite number? False Is 105325655 a prime number? False Is 5961031 a prime number? False Is 216829 a prime number? True Is 401111 prime? False Is 87382777 a prime number? True Is 10060783 composite? False Is 2200997 a prime number? True Is 244220531 composite? True Is 5532433 prime? True Is 79607 composite? True Is 53219071 composite? False Is 316323211 a composite number? True Is 808444903 a composite number? True Is 597293 a prime number? False Is 16800891 a prime number? False Is 693701 prime? True Is 34754683 prime? True Is 100959577 a composite number? False Is 71757607 prime? True Is 91540649 a composite number? False Is 23505301 composite? False Is 2083553 a prime number? True Is 70617437 a composite number? True Is 418981 a prime number? True Is 250343 a composite number? False Is 2622007 a prime number? False Is 675299 prime? True Is 131442367 prime? False Is 106211 prime? False Is 386219 a composite number? False Is 4919227 prime? False Is 3529703 a composite number? False Is 1297717 prime? False Is 75287 composite? True Is 100407247 a prime number? False Is 231458639 a prime number? True Is 319247189 composite? True Is 11875603 prime? True Is 822473 a prime number? False Is 103096453 composite? True Is 233731 a prime number? False Is 2168009 composite? False Is 436547 composite? False Is 5534989 prime? False Is 1635583 a prime number? True Is 6998309 a composite number? True Is 146579 composite? True Is 10625611 composite? False Is 11166529 a prime number? False Is 22434977 composite? False Is 1081277 prime? True Is 1636246 a prime number? False Is 30282469 composite? True Is 40265761 prime? False Is 151871 composite? False Is 22400633 composite? True Is 9581633 prime? True Is 4859107 a composite number? True Is 1867839 a prime number? False Is 1547057 a composite number? True Is 27053377 composite? True Is 32220341 composite? False Is 30477511 prime? True Is 51504179 a composite number? False Is 1838807 composite? False Is 68134641 composite? True Is 10051298 prime? False Is 237361 a prime number? True Is 80378477 prime? False Is 64476211 prime? False Is 275021 composite? True Is 1296547 composite? True Is 66245629 prime? True Is 45446539 composite? True Is 988155607 composite? True Is 11715038 a composite number? True Is 23939249 prime? True Is 59992577 composite? True Is 20990721 prime? False Is 17775973 a prime number? True Is 5791213 prime? False Is 33808673 composite? True Is 2465279 composite? False Is 1760689 a composite number? True Is 62230409 prime? True Is 74760529 composite? True Is 4282103 a composite number? True Is 1782205 composite? True Is 32335249 prime? False Is 96091 composite? True Is 19675571 composite? False Is 175598081 prime? True I
{ "pile_set_name": "DM Mathematics" }
+ 82 + -44? 10 What is (10 - 0) + (130 - (83 + 20))? 37 Evaluate (-91 - 3) + (15 - -3 - (0 + 20 - -2)). -98 60 - (-3 + 7 + 43) - (0 - 42) 55 What is the value of -91 + (9 - (15 + -4)) + (-62 - -75)? -80 What is the value of 10 - 3 - -1 - 0 - ((-6 - -21) + -24)? 17 What is the value of (-16 + 2 - (238 + -230)) + 4 + -8 + 0? -26 What is -25 - (81 + (-149 - -40))? 3 Calculate 2 + -2 + -8 + 2 - (-42 + 36). 0 What is the value of (40 - (16 + 24 + -13)) + -6? 7 What is 0 + 14 - (-148 + 163 - (-3 + -34))? -38 What is 1857 - 1875 - (1 + -7 - (-62 + -3))? -77 48 + 7 - (43 + 13 + -66) 65 What is (48 - -37) + 25 + -31? 79 -7 + 1 + 45 + 5 + -56 + 10 + -3 -5 What is (-80 - -57) + -11 + 47 + 7? 20 What is (157 - -122) + (-25 - 121)? 133 What is the value of 5 + -21 + (21 - 2) + -20 + 121? 104 What is the value of (31 - -55) + -47 - 80? -41 2 - -103 - (3414 + -3390) 81 Evaluate 35 + 45 + (-41 - 41). -2 0 + 27 + (96 - (95 + -13)) 41 What is (17 + -150 - -110) + (28 - -1)? 6 What is the value of 2 + 14 + -120 + -138 + 150? -92 -53 - (-84 + 24) - -20 27 (-5 + 50 - 62) + (-14 - -2) -29 Evaluate (199 - (404 - 194)) + 1 + 12. 2 What is 69 - (-2 + 24 + -3)? 50 Evaluate -70 - (-63 - (71 + -28)). 36 What is 0 + -74 + (175 - 99 - 71)? -69 What is the value of 1 + 12 + -1 - (-17 - 67) - 4? 92 What is the value of -21 + (93 + -82 - (-5 - (-7 - 2)))? -14 Evaluate -8 - (46 - (-53 + 119)). 12 Evaluate 61 + -48 - (64 - 0 - (-8 - -5)). -54 What is the value of -51 - -50 - (1 - (-7 + 0)) - (-8 - 57)? 56 Evaluate 59 + (-164 + 225 - (-6 + 50)). 76 (-41 - (1 - -1)) + (-40 - -18) + 21 - -6 -38 Evaluate -3 + 3 + (9 - (-6 + 8 + 5) - 12). -10 (7 - 53) + 30 + -26 -42 Evaluate 13 - (-6 + -40 + 35) - -32. 56 What is the value of 3 - (-1 + 15 + (38 + -43 - -6))? -12 22 - (13 + 4) - -37 - (3 + 1 + -10) 48 (-2 - (6 - -5) - -6) + (7 - -41) 41 (-140 - -175) + 56 + -212 -121 -33 + 17 + -73 + -15 + 15 -89 (-9 + 9 - -28) + -185 + 156 -1 -280 - -47 - -76 - -97 -60 24 + (55 - 106) - -48 21 What is the value of 77 - (31 + -31 - -44)? 33 What is 21 - (-50 - -70 - -27)? -26 What is the value of 36 - ((84 - 23) + -15) - (52 - -1)? -63 104 - 0 - (-2 + 6 - ((-2 - -12) + -13)) 97 Evaluate 23 + 34 + -22 + 1 + -1 + 6 + -9. 32 What is 39 + 18 + 13 - 22? 48 Calculate -41 + -1 - (-125 + -91 + 260). -86 Evaluate (1 - (2 - 1)) + (208 - (139 - 17)). 86 What is -67 - (31 + (-2 - -12)) - 10? -118 What is -53 + 49 + (0 - (-4 - -5) - 6 - -32)? 21 What is the value of 44 + -33 + 39 + -29? 21 Calculate -60 + 108 + -89 - -33. -8 Evaluate -10 - ((-100 - 1 - -3) + (67 - 59) - 10). 90 Calculate 7 - (10 + (4 - (-5 + (29 - -3))) + -1). 21 What is -4 + -32 + 37 + -47 + 33 + -1 + -46? -60 Evaluate 78 - 72 - (-110 + (4 + 1 + -4 - -5)). 110 What is the value of -27 + 95 + (-84 - -41)? 25 What is the value of (16 - 2 - 1) + (-37 + 126 - 53)? 49 Evaluate -11 + 9 - (96 + -164). 66 Calculate 3 + -18 - (12 - 0 - 4) - 12. -35 What is -99 - (-160 + (88 - 26))? -1 -55 - (-31 - -13 - -27 - 34) -30 Evaluate -11 + -18 - 14 - (-5 + 5 + -2). -41 19 - (138 - (-5 - -152)) 28 25 + (-10 - -20) - (-13 + (16 - 0)) 32 Calculate 37 + (-6 - (-11 - (-15 + 15) - -15)). 27 Evaluate (360 - 342) + (1 - 5) + -1 + -12. 1 Evaluate (10 - (-25 + 42)) + -87 + -11. -105 What is -7 + (-8 - (19 + -93 + (3 - 2)))? 58 What is (9 - -29) + (374 - 474)? -62 Evaluate (-85 - (51 + -110)) + 77. 51 Evaluate -1644 - -1730 - (0 - -42). 44 What is 2 + 51 + (4 - (-14 + 16 - (-3 - 8)))? 44 Calculate -10 - ((61 - 40) + -62 + 8). 23 What is the value of 1 + 12 + 0 - (-29253 - -29209)? 57 What is (-31 - ((36 - 20) + -28)) + 21? 2 (-4 + 1 - 8) + 28 + 14 + 23 - -9 63 What is the value of (-5 - -2) + 1 + -1 - (-173 - (-69 - 55))? 46 Calculate -9 - (1 - 4) - (7 - (22 - 8)). 1 Calculate 33 + (2 - 10 - -42) + -29. 38 What is the value of -22 - (-16 + 56 + -15 + 3)? -50 Calculate 87 - (-43 - -65 - -15). 50 (19 + -15 - 3 - 35) + 18 -16 Evaluate -113 + 181 + -57 - -92. 103 -11472 + 11458 + 0 + (0 - 1) + 1 -14 What is the value of 8 + -31 - -11 - (10 - 4 - 6)? -12 -32 + -32 + 51 + (7 - (30 + 6)) -42 What is the value of (-10 + 18 - -8) + -21 - (-6 + 63)? -62 Calculate (40 + 2 - 5) + 30 - 13. 54 Calculate (-81 - 0) + (-36 + 21 - (14 + -10)) + 30. -70 What is 72 - (122 + -61) - 0? 11 Evaluate -20 + (25 - 5) - (5 - -1 - 1). -5 What is the value of 20 - (-23 - -1 - -26) - -25? 41 What is the value of -6 - (6 - 45 - (-24 - (-11 - 6)))? 26 What is the value of (-272 - -242) + 3 + -4 + 101? 70 19 - (-3 - (-4 + (11 - 5)) - (35 - 46)) 13 What is the value of 24 - 146 - (-23 - 21)? -78 What is 3 + -14 + 10 - (-1 - -26)? -26 13 + -20 + 33 + (-144 - -115) -3 What is 1153 + -1152 - ((49 - 2 - (4 + -4)) + -1)? -45 What is the value of 0 + -23 - (67 + -42 + 42)? -90 What is the value of -21 + 651 + -661 + 7 + 1? -23 What is the value of -34 - ((-54 - (41 - 73)) + (11 - 0))? -23 What is the value of (47 - 39) + 8 + -5 + -23? -12 What is (0 + -6 + -4 - -2) + (-35 - (57 + -18))? -82 Evaluate (0 - (16 + -13 + -1)) + -2 - 32. -36 What is 50 - ((53 - 68) + 21)? 44 What is the value of 13 + -26 + -29 - -3? -39 What is 130 - 122 - 34 - -102? 76 119 - 243 - -107 - (0 - 58) 41 Evaluate (-26 - -10 - -23) + (64 - 82). -11 Calculate -7 + (21 - 16) + -15. -17 What is the value of (-57 - 4) + (-25 - (-60 + 22))? -48 -47 + 15 + 13 - (125 + (-26 - -15)) -133 (11 + -6 - 1) + -11 + (48 - 5 - 5) 31 What is the value of 0 + -7 + 5 + (17 + (-2 - -11) - 3)? 21 -3 + 20 - (29 - ((-18 - -7) + -73)) -96 What is (3 - -2) + (1190 - 1196)? -1 (-55 - -64) + 1 + 45 55 What is the value of 1 + (-3 - -2) + -15 + (3 - -1)? -11 Calculate -133 - -12 - -5 - (80 - 54). -142 Evaluate (12 - ((-4 + 7 - (10 - 21)) + 4)) + 45. 39 What is -15 - (-12 - -41) - 13 - -9? -48 Evaluate (-3 - 3) + 25 + -18 + -56. -55 Evaluate (30 - 58) + 24 + -35. -39 What is the value of -134 - (-104 + -25) - 105? -110 32 + 14 + (-4 - (-20 + 32)) + 4 + 3 37 What is 28 - (-38 - -61) - (50 - (-5 + 2))? -48 -164 + 100 + (10 - -45) -9 -7 + (-12 - (-6 + 2 + -14)) + 35 34 What is -72 - (40 + -84) - -93? 65 Calculate 2 + -1 + -2 - 91 - (-20 + (128 - 120)). -80 What is the value of 179 + -1 + -149 - (-19 + -1)? 49 Calculate (-3 - (10 + -12)) + -10 + 56 + 13. 58 Calculate 130 + (127 - 214) - 51. -8 Calculate (-5 - (10 - -38)) + (3 - (4 - 1)). -53 What is -41 + (11 - 106 - -70)? -66 Evaluate -3 + -4 + (-64 - -9) - (-88 + 77). -51 What is -9450 - -9416 - (-2 - -2 - 57)? 23 Calculate 46 + -14 + -28 - (5 + 17). -18 What is 80 + (7 - (17 - -1) - -18) - -9? 96 Evaluate -4 + 61 + -2 + -65. -10 What is -26 - (6 + (-13 - -5)) - (8 - -5)? -37 Calculate (17 - 40) + 31 - (0 + -8 + 86). -70 Calculate (11 - 12) + -3 + 12 + -6 - (3 - 74). 73 Evaluate -14 + 6 + -47 + (2 + 0 + -2 - -9). -46 Calculate 85 - 71 - ((-18 - -8) + 27). -3 What is 0 - (8 - 39 - (-17 + 1))? 15 Evaluate (40 - (-112 + 153)) + (0 - (-1 + 1 + 63)). -64 136 - 175 - (-17 - -18) -40 What is -13 + 5 + -18 + 23 + 1 - -42? 40 What is 4 - ((-7 - (0 + 10 + -5)) + 8 - -56)? -48 What is 1 + 0 + 2 - 0 - (73 - (25 - 6))? -51 What is the value of (57 - -1) + 4991 + -5009? 40 -54 - (-1672 + 1688 + (-2 - -3 - 12)) -59 Calculate (15 + -20 - -151) + -277. -131 What is 4 + (1 - 3 - 0) - (2190 - 2184)? -4 Evaluate -62 + -60 + 28 + 49. -45 4 + (4 + 0 - (120 + -115)) + 63 66 What is the value of 0 - 11 - ((1 - -26) + (760 - 696)) - -13? -89 What is (7 - (54 - -10)) + 13 - (14 + -8)? -50 -9 - 122 - 8 - (-141 + 133) -131 What is -2049 - -1994 - (-24 + -2)? -29 What is the value of 3 + (24 - 22) + 19? 24 Evaluate 2 + 3 - (14 + -2 - ((-1 - 12) + 14)). -6 Calculate -5 + 3 + 1 - (0 + 4 + 0 - -27). -32 Evaluate -79 + 40 + 19 + 9. -11 What is 5 + 1 + -2 - (39 - (51 - -6))? 22 What is the value of 43 + -29 + -60 + 52? 6 -4 + 22 + (29 - 32) - -44 59 What is the value of -32 - (195 - (13 - -144))? -70 What is the value of -41 - (-79 - (-15 - -15))? 38 Calculate (-2 - (67 + -19)) + 4 + 20. -26 Evaluate (9 + -6 - -7) + (-1 - 9). 0 Evaluate (11 + -4 - -18) + 3 - 24. 4 Calculate 56 + -21 - (-3 - -17). 21 15 + -4 + (-62 - (3 + -1)) + 7 -46 Calculate 27 - 16 - (3 + (-5 - -6)) - (-5 - -82). -70 What is 1295 - 1281 - (-4 - (-3 + -66) - -2)? -53 What is the value of (1 + 1 - (-29 + 43 + -46)) + 1? 35 What is -25 + (24 - (-2 - (72 + 14)))? 87 Evaluate 13 - -90
{ "pile_set_name": "DM Mathematics" }
-a(u) - 5*d(u). 3*u**3 - 11*u**2 - 3 Let s(c) = -2*c + 2 + 3 + 4*c - 3. Let p = 31 + -38. Let w(v) = -5*v - 5. Calculate p*s(f) - 3*w(f). f + 1 Let o(i) = 37*i + 2. Let v(r) = 34*r + 1. Determine 2*o(d) - 3*v(d). -28*d + 1 Let d(p) = p**3 - p - 1. Let i(a) be the second derivative of -10*a**3/3 - 10*a**2 - 559*a. Calculate -20*d(q) + i(q). -20*q**3 Let c(n) = n**2 - 1. Let d = -8 + 9. Let i(x) = 22 + 2*x**2 - 24 + 3*x - x. What is d*i(u) - 4*c(u)? -2*u**2 + 2*u + 2 Let s(n) = -n**3. Suppose -4*r + 80 = -r - 4*l, -l + 4 = 0. Let t be 4/r - 27/24. Let i(q) = -2*q**3. Determine t*i(c) - 3*s(c). 5*c**3 Let h(g) = -10*g**2 - 2*g - 5. Let j(n) = n**2 - 2*n. Let u(i) = 16*i**2 - 8*i + 6. Let b(k) = -5*j(k) + u(k). What is 5*b(x) + 6*h(x)? -5*x**2 - 2*x Let i(a) = -6*a**2 - 21*a - 3. Let r(h) = 11*h**2 + 42*h + 7. What is 5*i(o) + 2*r(o)? -8*o**2 - 21*o - 1 Let u(d) = 2*d**3 - 3*d**2 + 4. Let g(i) = -5*i**3 + 7*i**2 + i - 9. Let p be -3*(-8 + (1 - -6)). Calculate p*g(w) + 7*u(w). -w**3 + 3*w + 1 Let s(t) = -t**2 - 5*t - 4. Let c(y) = -2*y**2 - 9*y - 7. What is 4*c(g) - 7*s(g)? -g**2 - g Let b(z) be the first derivative of z**2/2 - 3*z + 8. Let f(h) = -2*h + 13. Let n(k) = k - 6. Let g(t) = 2*f(t) + 5*n(t). Calculate 6*b(r) - 4*g(r). 2*r - 2 Let b(n) = 224*n - 6. Let x(d) = 5*d - 1. What is -b(y) + 5*x(y)? -199*y + 1 Let i(t) be the second derivative of -t**3/6 - t**2/2 - 69*t. Let z(s) = -2*s - 3. Calculate 12*i(b) - 4*z(b). -4*b Suppose -4*x - 3 = -11. Let v(g) = -3 - 2*g - 3*g + 0*g + 3*g**2 - x. Let q(i) = 4*i**2 - 6*i - 6. Suppose -3 = 2*u + 7. Calculate u*q(o) + 6*v(o). -2*o**2 Let z(u) = -9*u + 9. Let b(l) = -8*l + 11. Calculate 6*b(a) - 7*z(a). 15*a + 3 Let t(l) = 5*l. Let y(u) = 4*u. Let o(r) = 5*r. Let h(c) = -5*o(c) + 6*y(c). Give 33*h(i) + 6*t(i). -3*i Let t(h) = 7*h**3 - 5*h**2 - 5*h + 51. Let f(c) = -6*c**3 + 4*c**2 + 4*c - 51. What is -5*f(y) - 4*t(y)? 2*y**3 + 51 Let k(z) = -100*z + 30. Let v(x) = 1. Calculate -k(m) + 30*v(m). 100*m Let a(c) = 6 + 3*c**3 + c**3 - 3*c - 3. Suppose 1993 - 1981 = 4*t. Let p(g) = 20*g**3 - 14*g + 14. What is t*p(r) - 14*a(r)? 4*r**3 Let t(k) = 2*k**2 - 30*k. Let s be t(15). Let j(a) = s*a + 0*a + 2 - 2*a + 0*a. Let f(w) = 1. Determine 2*f(p) - j(p). 2*p Let m(f) = -4*f - 447. Let d(p) = -3*p - 451. What is -3*d(l) + 2*m(l)? l + 459 Let m(x) = 9*x + 10. Let v(d) = -18*d - 25. Give 7*m(u) + 3*v(u). 9*u - 5 Let n(s) = 10. Let q(t) = -7. Let p(c) = -2*n(c) - 3*q(c). Let b(d) = -d**2 - d + 7. Give b(o) - 6*p(o). -o**2 - o + 1 Let a = -3677 - -3674. Let p(t) = 0 + 1 - 3 - 5*t**2. Let o(j) be the first derivative of -2*j**3 - 2*j - 1. What is a*o(z) + 4*p(z)? -2*z**2 - 2 Let m(h) = -2*h**3 - 2*h - 114. Let u(p) = 2*p**3 + p + 115. Calculate -2*m(w) - 3*u(w). -2*w**3 + w - 117 Let m = 6 + -2. Let u be 20/(-45) - (-46)/54*-3. Let z(v) = -v + 2*v + 0*v - 2. Let y(h) = 2*h - 2. What is m*z(b) + u*y(b)? -2*b - 2 Let y(r) = -2*r**3 - 2*r. Let w(h) = -4*h**3 + h**2 - 5*h + 1. Suppose 2*n - 3 = n, -4*v - 21 = -3*n. Let b be 1 + 4 + v + 0. What is b*w(z) - 5*y(z)? 2*z**3 + 2*z**2 + 2 Let y(t) = 1 - t + 3*t + 1 - 3*t**3. Let v(j) be the second derivative of 7 + 3*j - 11/2*j**2 + 3/4*j**5 - 11/6*j**3 + 0*j**4. What is -2*v(l) - 11*y(l)? 3*l**3 Let m(h) = -219*h - 13. Let p(t) = -t - 2. What is m(y) - 6*p(y)? -213*y - 1 Let w(c) = 5*c**2 + 2*c + 6. Let h(n) = 4*n**2 + 3*n + 5. Let d be -10 - (-8 + 8/2). Give d*h(a) + 5*w(a). a**2 - 8*a Suppose 17*x - 200 = -3*x. Let o(m) = 3*m + 7. Let k(c) = -2*c - 4. Calculate x*k(i) + 6*o(i). -2*i + 2 Let j(l) = 2*l**2 - 2*l - 1. Suppose 2*z - 7*z + 10 = 0. Let d(h) = -1. Suppose -13 = 3*g + 5*t, -2*t + 2 = -3*t. Give g*j(y) + z*d(y). -2*y**2 + 2*y - 1 Let m(x) = -3*x - 17. Let s(z) = -2*z - 9. Let l(w) = w**3 - 6*w**2 - 12*w + 28. Let p be l(7). Give p*s(y) + 4*m(y). 2*y - 5 Let m(w) = 4*w + 17. Let q(z) = -z - 3. Let x be q(3). Let k(o) = 2*o + 8. Let c(t) = x*m(t) + 13*k(t). Let p(b) = 5*b + 2*b - 5*b + 3. Give -3*c(v) + 2*p(v). -2*v Let z(y) = y**2 + 2*y. Let s be z(-3). Let v(l) = -5*l**2 - 2*l. Let u(n) be the second derivative of -n**4/12 - n**3/6 + 42*n + 1. What is s*u(p) - v(p)? 2*p**2 - p Let g(c) = 8*c - 117. Let m(t) = -t**2 + 6*t - 116. Calculate 3*g(d) - 4*m(d). 4*d**2 + 113 Let l(k) = k**2 - 15*k - 29. Let u be l(17). Let w(t) = -8*t**3 + 6*t**2 + 3*t + 6. Let z(n) = -7*n**3 + 5*n**2 + 4*n + 5. What is u*w(b) - 6*z(b)? 2*b**3 - 9*b Let m(f) = -5*f**3 - 7*f**2 + 3*f - 7. Let a(v) = -4*v**3 - 7*v**2 + 2*v - 6. Determine 7*a(t) - 6*m(t). 2*t**3 - 7*t**2 - 4*t Let l(y) = -y + 2. Let r = 817 + -822. Let m(o) = 2*o - 4. Calculate r*l(j) - 3*m(j). -j + 2 Let d(y) = y + 42. Let p(i) = 3*i + 115. Determine 11*d(b) - 4*p(b). -b + 2 Let v(w) = -w + 212. Let u(b) = b + 1. Calculate u(l) - v(l). 2*l - 211 Let w(o) = -2*o**2 - 2*o - 8. Let t(v) = 3*v**2 + 3*v + 8. Determine -3*t(s) - 4*w(s). -s**2 - s + 8 Let t(v) = 3*v**2 + 8*v + 4. Let c(l) be the first derivative of 9/2*l**2 - 21 + 4/3*l**3 + 5*l. Give 4*c(h) - 5*t(h). h**2 - 4*h Let m(v) = -v**3 + v**2 - 6*v + 4. Let t(c) = -c**3 + c**2 - 5*c + 4. What is -4*m(f) + 5*t(f)? -f**3 + f**2 - f + 4 Suppose 8 = -30*h + 32*h. Let o(p) = 11*p - 4. Let s(x) = -175*x + 63. What is h*s(m) + 63*o(m)? -7*m Let q(t) = t**2 + 13*t + 5. Let v(c) = c**2 + 16*c + 6. Let p(u) = 5*q(u) - 4*v(u). Let z(n) = 2*n. What is 2*p(g) - z(g)? 2*g**2 + 2 Let s(v) = -v**2 - 40*v - 1. Let k(m) = -5*m**2 - 159*m - 3. What is 2*k(y) - 9*s(y)? -y**2 + 42*y + 3 Let m(z) = 1 + 936*z**3 - 945*z**3 - 7 - 6*z**2 - 6*z. Let i(t) = -t**3 - t - t**2 - 5 + 2 + 2. Let l(u) = u - 6. Let k be l(0). Calculate k*i(s) + m(s). -3*s**3 Let l(o) be the third derivative of 1/24*o**4 + 12*o**2 + 0 - 1/3*o**3 + 0*o. Let w(d) = d - 1. Determine l(b) - 2*w(b). -b Let y(x) = -233*x**3 - 233. Let n(g) = 1. Determine 233*n(s) + y(s). -233*s**3 Let q(l) = -3*l**3 + 2*l + 4. Let t(a) = 7 - 18*a - a**2 + 6*a + 16*a - 5*a**3. Give -7*q(b) + 4*t(b). b**3 - 4*b**2 + 2*b Let o(c) = -106*c**2 + 4*c + 1. Let z(a) = 317*a**2 - 12*a - 3. What is -11*o(u) - 4*z(u)? -102*u**2 + 4*u + 1 Let z(l) = 1. Let p(r) be the second derivative of r**3/2 - 3*r**2 + 4*r - 6. What is -p(q) - 4*z(q)? -3*q + 2 Let x(q) = 5*q**2 + 7*q - 7. Let b(s) = -2*s**2 - 2*s + 2. Let n(r) = -r**2 + r - 2. Let o be n(2). Determine o*x(h) - 14*b(h). 8*h**2 Let c(z) = -5*z**3 - 9*z**2 - 5. Let l(u) = u**2 + 1. Let a(o) = -c(o) - 4*l(o). Let m(f) = 10*f**3 + 9*f**2 + 2. Determine 5*a(i) - 3*m(i). -5*i**3 - 2*i**2 - 1 Let b = -954 + 957. Let d(h) = -9*h**3 + 3*h**2 + h + 3. Let c(a) = -9*a**3 + 2*a**2 + a + 2. What is b*c(p) - 2*d(p)? -9*p**3 + p Let p(n) = -3*n**3 - 62*n**2 + 14*n - 7. Let c(j) = 2*j**3 + 41*j**2 - 10*j + 5. What is -7*c(q) - 5*p(q)? q**3 + 23*q**2 Let s = 20 + -12. Let r(x) be the second derivative of -x**5/20 + 5*x**4/12 - 5*x**3/6 + 25*x. Let d(l) = l**3 - 8*l**2 + 8*l. What is s*r(m) + 5*d(m)? -3*m**3 Let r(k) = -k**2 - k. Let x = 5 - 11. Let d = x + 4. Let i(v) be the second derivative of v**4/6 + v**3/2 + v. What is d*i(l) - 6*r(l)? 2*l**2 Let t(x) = 6*x**3 + 5*x**2 + x - 7. Suppose -d = -28 + 26. Let g(f) = 3*f**3 + 2*f**2 - 3. What is d*t(b) - 5*g(b)? -3*b**3 + 2*b + 1 Let v = 15 + -17. Let k(a) = 2*a + 3. Let h(c) be the third derivative of c**4/12 + c**3/3 + 12*c**2. What is v*k(q) + 3*h(q)? 2*q Let h(d) = -6*d**2 - 8*d + 8. Let v = -88 - -83. Let w be 2/(-4*v/(-70)). Let g(t) = 5*t**2 + 7*t - 7. Give w*g(r) - 6*h(r). r**2 - r + 1 Let l be (1 + 0)*15*(-10)/50. Let h(a) = 12*a - 10. Let x(t) = -t + 1. Give l*h(f) - 30*x(f). -6*f Suppose 2*a + 136 = 5*a + 2*i, 4*a + 5*i - 193 = 0. Let k(y) = y**2 + y. Let h(c) = -7*c**3 + 42*c**2 + 42*c. What is a*k(t) - h(t)? 7*t**3 Let d(g) = -2*g**3 - g. Let p(a) = 16*a**3 + 7*a + 282. Determine 7*d(v) + p(v). 2*v**3 + 282 Let f = 3702 - 3709. Let m(k) = 7*k + 3. Let a(v) = -v + 1. Let x(r) = -4*r - 10. Let c(q) = -6*a(q) - x(q). What is f*m(h) + 5*c(h)? h - 1 Let y(z) = -z - 7*z**2 - 8 - 2*z**2 + z**2. Let k(i) be the third derivative of 36*i**2 + 0*i**4 + 0 + 0*i - 1/6*i**3 - 1/60*i**5. Determine -6*k(w) + y(w). -2*w**2 - w - 2 Let c(o) = -5*o - 112. Let g(q) = -12*q - 223. Give 10*c(k) - 4*g(k). -2*k - 228 Let n(h) = -h**2 + h. Let w(u) = 8*u**2 - 14*u - 16. Let j(s) =
{ "pile_set_name": "DM Mathematics" }
ing 1 c and 1 i? 1/3 Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {r: 3, q: 5, j: 3}. 9/55 Two letters picked without replacement from {u: 2, g: 1, y: 6, n: 3, v: 3}. Give prob of picking 1 g and 1 y. 2/35 What is prob of picking 1 r and 1 v when two letters picked without replacement from kvkkrrrrrwwkr? 1/13 Two letters picked without replacement from bybbgyynbyugbu. What is prob of picking 1 y and 1 u? 8/91 Calculate prob of picking 1 n and 3 e when four letters picked without replacement from {e: 3, n: 8}. 4/165 Calculate prob of picking 2 m and 1 y when three letters picked without replacement from {m: 6, y: 4, z: 1}. 4/11 Three letters picked without replacement from {r: 3, s: 7, o: 4}. Give prob of picking 1 r, 1 o, and 1 s. 3/13 Four letters picked without replacement from {z: 3, k: 5, p: 4, r: 1, b: 1}. Give prob of picking 1 b, 1 p, 1 k, and 1 r. 20/1001 Calculate prob of picking 3 k and 1 o when four letters picked without replacement from okoookokoookookokkkk. 308/1615 Calculate prob of picking 2 p and 1 l when three letters picked without replacement from {p: 4, l: 1, d: 7, v: 6}. 1/136 Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {t: 2, i: 2, h: 1, v: 1}. 2/15 Two letters picked without replacement from {j: 4, s: 2, b: 1, f: 1, q: 2, p: 2}. What is prob of picking 1 p and 1 j? 4/33 Calculate prob of picking 4 u when four letters picked without replacement from ddudddudududdddddddd. 1/4845 Three letters picked without replacement from {m: 5, w: 2, c: 3, r: 5, h: 1}. What is prob of picking 1 c, 1 m, and 1 r? 15/112 Two letters picked without replacement from {a: 3, m: 3, g: 1}. What is prob of picking 1 m and 1 g? 1/7 What is prob of picking 4 i when four letters picked without replacement from iciiici? 1/7 Four letters picked without replacement from {e: 1, i: 4, h: 2}. Give prob of picking 1 h and 3 i. 8/35 Two letters picked without replacement from mwmteehsshhtssssw. Give prob of picking 2 t. 1/136 Three letters picked without replacement from jqpqppp. Give prob of picking 3 p. 4/35 Three letters picked without replacement from {t: 2, g: 5, j: 2, n: 11}. What is prob of picking 2 t and 1 n? 11/1140 What is prob of picking 2 j when two letters picked without replacement from {j: 2, a: 5, x: 5}? 1/66 Calculate prob of picking 1 b and 3 i when four letters picked without replacement from {n: 2, b: 1, p: 4, i: 10}. 6/119 Two letters picked without replacement from iriiiuouoquiuruu. What is prob of picking 1 i and 1 u? 1/4 Calculate prob of picking 2 m and 1 d when three letters picked without replacement from ddddddmdmddmmddddd. 7/68 Four letters picked without replacement from ooaooaaoaaooaaaaaooo. Give prob of picking 2 o and 2 a. 135/323 Calculate prob of picking 2 n and 1 e when three letters picked without replacement from eeneineeniieniinnnne. 49/285 Calculate prob of picking 1 w and 1 x when two letters picked without replacement from mwfccixm. 1/28 What is prob of picking 1 o and 1 i when two letters picked without replacement from {k: 1, m: 1, o: 1, q: 1, i: 1, v: 2}? 1/21 Four letters picked without replacement from idippdpii. Give prob of picking 1 d, 2 p, and 1 i. 4/21 Three letters picked without replacement from zbbbzbbbb. Give prob of picking 2 z and 1 b. 1/12 Calculate prob of picking 2 x and 2 t when four letters picked without replacement from {x: 2, t: 5, u: 1, m: 1}. 5/63 Two letters picked without replacement from gghgbhh. What is prob of picking 1 b and 1 h? 1/7 Calculate prob of picking 2 z and 1 e when three letters picked without replacement from rerzzzrrzz. 1/12 Calculate prob of picking 1 p and 2 u when three letters picked without replacement from upupuuuwuwupp. 42/143 What is prob of picking 3 e when three letters picked without replacement from {c: 1, e: 4, m: 3, d: 2}? 1/30 What is prob of picking 1 a and 1 d when two letters picked without replacement from {j: 8, f: 2, a: 3, d: 4}? 3/34 Calculate prob of picking 1 m and 1 o when two letters picked without replacement from vaobmzz. 1/21 Calculate prob of picking 3 b and 1 x when four letters picked without replacement from blbbbblbbxbblllbxbbb. 572/4845 Four letters picked without replacement from {t: 1, h: 4, y: 3, c: 10, w: 1}. Give prob of picking 4 c. 35/646 Four letters picked without replacement from cccocccc. What is prob of picking 4 c? 1/2 Three letters picked without replacement from yyyyyppyypypppypyypp. Give prob of picking 3 p. 7/95 What is prob of picking 1 v, 2 w, and 1 n when four letters picked without replacement from neawaavaageeww? 3/1001 What is prob of picking 1 y and 1 u when two letters picked without replacement from {d: 1, y: 1, u: 1, e: 1, k: 1}? 1/10 Two letters picked without replacement from {z: 2, x: 4, j: 3, p: 2, o: 2}. What is prob of picking 1 p and 1 x? 4/39 Four letters picked without replacement from {y: 13, v: 2, i: 3}. What is prob of picking 4 y? 143/612 Two letters picked without replacement from {h: 1, a: 1, j: 1}. What is prob of picking 1 j and 1 h? 1/3 Four letters picked without replacement from {k: 2, x: 10}. Give prob of picking 2 k and 2 x. 1/11 Four letters picked without replacement from wlbslwshssw. What is prob of picking 1 l and 3 s? 4/165 Calculate prob of picking 1 t and 3 f when four letters picked without replacement from {f: 8, t: 3}. 28/55 Three letters picked without replacement from {c: 4, z: 6, n: 1, i: 1, e: 3, y: 3}. What is prob of picking 1 y and 2 z? 15/272 Three letters picked without replacement from zyyopzwps. What is prob of picking 1 o and 2 y? 1/84 Three letters picked without replacement from {h: 2, v: 1, t: 3, p: 1, o: 1, y: 3}. Give prob of picking 1 v, 1 o, and 1 t. 1/55 What is prob of picking 1 k and 1 v when two letters picked without replacement from kkv? 2/3 Four letters picked without replacement from lalalaaaalaaaala. Give prob of picking 3 a and 1 l. 165/364 Four letters picked without replacement from {e: 11, l: 5}. Give prob of picking 3 e and 1 l. 165/364 Four letters picked without replacement from {n: 3, i: 5}. Give prob of picking 3 i and 1 n. 3/7 Two letters picked without replacement from {c: 3, s: 3, l: 9, j: 2}. What is prob of picking 1 c and 1 s? 9/136 Two letters picked without replacement from dqdsdddkd. Give prob of picking 1 d and 1 s. 1/6 What is prob of picking 1 k, 1 x, and 2 j when four letters picked without replacement from nnjjxjnnkjjjjjjjnjx? 55/1938 What is prob of picking 1 r and 1 f when two letters picked without replacement from {f: 2, v: 8, q: 3, r: 3}? 1/20 Three letters picked without replacement from {n: 6, y: 1, p: 2, i: 1, w: 2}. Give prob of picking 2 n and 1 i. 3/44 Calculate prob of picking 1 h and 2 a when three letters picked without replacement from {a: 11, h: 2, m: 2}. 22/91 Two letters picked without replacement from igiigi. Give prob of picking 1 i and 1 g. 8/15 Calculate prob of picking 1 x and 3 o when four letters picked without replacement from {o: 6, x: 7}. 28/143 What is prob of picking 1 a and 1 b when two letters picked without replacement from jjubqaj? 1/21 What is prob of picking 4 g when four letters picked without replacement from bgbbbgbggggggggggg? 143/612 Calculate prob of picking 2 t and 1 q when three letters picked without replacement from uqtttbqttbbbq. 15/143 What is prob of picking 1 f and 1 o when two letters picked without replacement from owofwoofoowoooow? 1/6 Calculate prob of picking 1 c, 1 h, and 2 e when four letters picked without replacement from {v: 2, c: 1, e: 9, h: 4, u: 4}. 48/1615 Three letters picked without replacement from nggh. Give prob of picking 1 h and 2 g. 1/4 Two letters picked without replacement from {w: 1, u: 1, y: 1, j: 2, l: 5, x: 5}. What is prob of picking 1 w and 1 u? 1/105 What is prob of picking 1 v, 1 p, and 1 j when three letters picked without replacement from dzopvjvjz? 1/21 Two letters picked without replacement from mimlxfxfmxxxllj. Give prob of picking 1 j and 1 f. 2/105 Four letters picked without replacement from {x: 1, m: 3, o: 1, g: 2, q: 3}. What is prob of picking 2 q and 2 m? 3/70 Two letters picked without replacement from tohuhxet. What is prob of picking 1 o and 1
{ "pile_set_name": "DM Mathematics" }
et k = i + 1.3. Round k to two dps. -0.03 Suppose -2*j = -4*l - 505547 - 2974433, -4*l - 5219980 = -3*j. Round j to the nearest 100000. 1700000 Suppose -m + a + 5 = 0, 3*m + 3*a - 15 = 2*a. Suppose -w + 3*o = 0, m*w - 26 = w - o. Suppose w*n - n - 420000 = 0. Round n to the nearest ten thousand. 80000 Let p(u) = -160*u - 14. Let g(y) = 159*y + 13. Let o(d) = 7*g(d) + 6*p(d). Let l be o(-9). What is l rounded to the nearest one hundred? -1400 Let r = 19.502 - 0.102. What is r rounded to the nearest integer? 19 Let t = 24.944 + 0.056. Let f = 2509.164 - 2534. Let x = t + f. Round x to 2 decimal places. 0.16 Let k(n) = -1114*n**3 - 2*n**2 - 4. Let x be k(-2). What is x rounded to the nearest 1000? 9000 Let v be (-15)/(-8) - 1/(-8). Let z be (-2 - (-19 + -2))*v. Round z to the nearest ten. 40 Suppose -z = -5*z, -3*o - 3*z + 747 = 0. Suppose -5*g + 1 = -5*n - o, 0 = -g - n + 44. Round g to the nearest 10. 50 Let f = -40 - -39.904. What is f rounded to 2 decimal places? -0.1 Let f = -5258204.499937 - -5258209. Let d = f + -4.5. What is d rounded to five dps? 0.00006 Let w = -36 + 35.99999823. What is w rounded to 7 decimal places? -0.0000018 Let s = -0.147612 - 1.852328. Let o = 2 + s. Round o to four decimal places. 0.0001 Let m be -400*(4/((-32)/126) + 0). Round m to the nearest 1000. 6000 Let d = 3903.834502 + -46907.434482. Let v = 43003 + d. Let j = v + 0.6. What is j rounded to five decimal places? 0.00002 Let z = 18 + -12.5. Let q = z - 5.04. Let k = 0.46 + q. Round k to one decimal place. 0.9 Let m = -1.0469401794 + -104418.9529998206. Let j = m + 104419. Let x = j - -1. What is x rounded to four decimal places? 0.0001 Let k = -1960.725 - -1985. Let h = 27.2 - k. Let g = h - 3. Round g to 2 decimal places. -0.08 Let u(b) = -b - 14. Let g be u(-17). Suppose -1971 = g*t - 201. Round t to the nearest one hundred. -600 Let i = 118 - 118.51. Round i to one dp. -0.5 Suppose -n + 0*n - 149 = 4*g, g + 21 = 3*n. Let l be (-15)/(-2) - 3/(-6). Let q be (-73804)/18 - l/g. Round q to the nearest 1000. -4000 Let r = 136 + -126.1. Let w = 11.13 + -0.13. Let u = w - r. Round u to 1 dp. 1.1 Let o(d) = 18946*d**3 + 7*d**2 + 13*d + 8. Let i be o(-8). Round i to the nearest one million. -10000000 Let n(b) = 19*b**2 - 4*b. Let k be n(4). Suppose 754 = 2*u + k. Suppose -z = -577 - u. Round z to the nearest one hundred. 800 Suppose 4*z + 101120 = 3*r + 16432, 4*z = -4*r - 84716. Let w = z - -5375. Round w to the nearest 1000. -16000 Let l(a) = 2*a + 2. Let h be l(-2). Let m be (-1)/h*0*-1. Suppose -4*d + 300 = -m*d. Round d to the nearest ten. 80 Let w = 608.23002 - 608. Let l = w + -0.23. Round l to 4 decimal places. 0 Let t = 1.76 - 1.677. Let w = -0.347 - t. Round w to one dp. -0.4 Suppose 5*j - 2*j - 16500000 = a, 5*a = 3*j - 16500000. What is j rounded to the nearest one million? 6000000 Let q(k) = -k**3 + 7*k**2 - 6*k + 2. Suppose -30 = 2*g - 7*g. Let w be q(g). Suppose -w*y + 235 = -7*y. What is y rounded to the nearest 10? -50 Let a(l) = -l + 4. Let p(x) = -x + 5. Let s(r) = 4*a(r) - 3*p(r). Let j be s(-5). What is j rounded to the nearest ten? 10 Suppose -2*b - 2915 = -7*b. Suppose m - 252 + 72 = 3*c, 0 = -2*m + 4*c + 362. Let l = m - b. Round l to the nearest 100. -400 Let z = -19 - -10. Let x(g) be the second derivative of 15061*g**4/12 - 7*g**3/6 - 2*g**2 - 3*g. Let i be x(z). Round i to the nearest one hundred thousand. 1200000 Let b(r) = 380*r**3 - 2*r**2 - 2*r. Let c be b(-1). What is c rounded to the nearest one thousand? 0 Let h = 20701596 + 12998404. What is h rounded to the nearest 1000000? 34000000 Let k = -0.308838455 + 0.35525. Let n = 23.953594955 + k. Let w = n - 24. Round w to six dps. 0.000007 Let z = 1.32 + -1.3199925. What is z rounded to 6 dps? 0.000008 Suppose 3*n + 1348413 = -8*n. Suppose 2*f - 77166 = 4*f. Let w = f - n. Round w to the nearest 10000. 80000 Let u(m) be the first derivative of 4134*m**3 + 9*m**2/2 - 5*m - 6. Let t be u(-5). Round t to the nearest 100000. 300000 Let w = 205438.00999955 + -205438. Let k = w + -0.01. What is k rounded to seven decimal places? -0.0000005 Let x = 71.9999968 - 72. What is x rounded to 6 dps? -0.000003 Let d(v) = v**3 - 9*v**2 + 11*v - 1. Let o be d(5). Round o to the nearest 10. -50 Suppose 4*g = -3*y + y - 2, 7 = g - y. Suppose -g*j = -2*l - 116, -5*j - 4*l + 340 = l. What is j rounded to the nearest 10? 60 Let a = -3.002 - -3.07155. Let x = -15.93 - -16. Let s = a - x. What is s rounded to four decimal places? -0.0005 Let p = 4 - 2. Suppose -5*x = -4*r + 49, 6*r - 4 = p*r - 4*x. Suppose r*k = 3*k - 1890. What is k rounded to the nearest 100? -600 Let f(k) = -259*k**2 - 2*k + 2. Let v(w) = -4*w**3 + w**2 + w. Let b be v(-1). Suppose -g = g + b. Let a be f(g). What is a rounded to the nearest one hundred? -1000 Let c = 11997.03399974 + -11997.164. Let u = 7.87 + -8. Let d = c - u. What is d rounded to 7 dps? -0.0000003 Suppose f + 3 - 5 = 0. Let b be (-1)/(-2)*f*-310. Round b to the nearest one hundred. -300 Let l = 2891877 + -1351877. Round l to the nearest 100000. 1500000 Let q = -137890 - -53890. What is q rounded to the nearest 10000? -80000 Suppose -5*v + v + 5*r = 654, v = -2*r - 157. Round v to the nearest 10. -160 Let d = -67 - -131. Let b = 63.9999969 - d. What is b rounded to 6 decimal places? -0.000003 Suppose 4*h = -3*j + 1604, -5*j + 5*h = -1739 - 946. What is j rounded to the nearest 10? 540 Let d = 3.6836 - 3.7. Round d to three decimal places. -0.016 Let k = 4 + -10. Let b = -16.9 - -13. Let l = k - b. Round l to the nearest integer. -2 Let s be ((-1)/2)/(5/90). Let v be s/(1*1/(-127)). Let c be (-2 + -1 + v)*1. Round c to the nearest 100. 1100 Let u = -3.5 - 0.5. Let y = u - -8. Let b = -3.997 + y. What is b rounded to two dps? 0 Let l = -4094050.00017 + 4094072. Let j = l - 22. What is j rounded to four decimal places? -0.0002 Let b = 14.4 - 13. Let p = 1.46 - b. Round p to 1 dp. 0.1 Let a = 0.3 + -11.3. Let m = 64319.9951 - 64331. Let h = m - a. What is h rounded to three decimal places? -0.005 Let j = 16.0016 - 16. What is j rounded to three dps? 0.002 Suppose 0 = y - 1 + 2. Let b be -115393*(y - 0)*1. Let g = b - 227393. Round g to the nearest 10000. -110000 Suppose 2*c = -0*c + 36799960. Suppose 0 = -i + 3*i - 3*n - 9200015, 4*i = -4*n + c. What is i rounded to the nearest one million? 5000000 Suppose 4*v = v. Suppose -l = m - 5799, l + v*l + 1 = 0. What is m rounded to the nearest 1000? 6000 Let u = -0.169 - -0.899. Let d = u - 0.6. Let f = 0.130026 - d. What is f rounded to five decimal places? 0.00003 Let d = 0.031519 - -0.078386. Let m = -0.11 + d. What is m rounded to five dps? -0.0001 Let g = -5396 + -6797. Let o = -5122 - g. Let s = o - -12929. What is s rounded to the nearest one hundred thousand? 0 Let p = 119.999973 - 120. Round p to four dps. 0 Let h be ((-7)/(-3))/(1/(-3)). Let a(u) = -u**3 - 8*u**2 - 8*u - 10. Let f be a(h). Let x be 3/f*110/2. Round x to the nearest ten. -60 Suppose 621 = -3*x - 180. Let f be 2 - (-5618)/3*x. What is f rounded to the nearest 1000000? -1000000 Suppose 5*j = 0, -5*u + 3*j - 2900 = 6*j. Round u to the nearest 100. -600 Let x = 1.1 - 7.1. Let g = x - -6.000033. Round g to 5 decimal places. 0.00003 Suppose -11812238 + 39412238 = 4*v. What is v rounded to the nearest one million? 7000000 Let l = 7.099858 + -7.1. What is l rounded to 5 decimal places? -0.00014 Let w = -158 - -158.0111. Round w to three decimal places. 0.011 Suppose -4*q + 2 = -3*q. Suppose g + q*g - 12300 = 0. Round g to the nearest one thousand. 4000 Let p = -7.05 - -7. Let z = 305 + -305.0516. Let l = z - p. Round l to 3 dps. -0.002 Let t = 0.63 - -255.37. Let l = t - 256.123. Let g = 0.1230122 + l. What is g rounded to six dps? 0.000012 Let g = 0.192 - -0.024. Round g to two decimal places. 0.22 Suppose 0 = -4*w - 2*v + 2176006, 4*v = 9*v - 15. Round w to the nearest one hundred thousand. 500000 Let w = 95909 - 95915.3943. Let i = -29.4 + 23. Let n = w - i. Round n to three decimal places. 0.006 Let w = -96.9991 - -97. Round w to four dps. 0.0009 Let f = 2151.1113 + -2151. Let v = f + -0.107. Round v to 3 decimal places. 0.004 Let m = 280 - 418. Round m to the nearest 10. -140 Let o = -5.4 - -5.3942. Round o to 3 dps. -0.006 Let z be 2/(-13) + 222/(-78).
{ "pile_set_name": "DM Mathematics" }
wrt y? -457154022*y + 10 What is the second derivative of 619165*c**5 - 156*c**2 + 424792102*c? 12383300*c**3 - 312 What is the third derivative of -188244776*h**3*w + 6*h**2*w - 3*h**2 + 4110*w wrt h? -1129468656*w What is the third derivative of -6974378*j*r**2*s**3 + 71*j*r**2 - 36*j*s - 6*s**2 - 18 wrt s? -41846268*j*r**2 Find the first derivative of 103365181*b + 461346579 wrt b. 103365181 Find the second derivative of -2*n**3 + 14971030*n**2 + 342391*n - 21 wrt n. -12*n + 29942060 Find the second derivative of 2662*a*d**3 - a*d + 52*d**3 + 416008*d + 3 wrt d. 15972*a*d + 312*d Differentiate 1429245*m*s + 2*s + 1023443 with respect to m. 1429245*s What is the third derivative of -173615*c**4 + 12*c**3 - 24251058*c**2 - 2*c + 2? -4166760*c + 72 What is the third derivative of -23714063*r**4 - 3983*r**2 + 1924? -569137512*r What is the derivative of -404210*q*s**2 - 1534129*q - 3*s**2 wrt s? -808420*q*s - 6*s What is the second derivative of 101391*f**2*g*o**2 - 15*f**2*g*o - f**2 - 129*f*g*o**2 + 29*f*g*o + 1005*g*o wrt o? 202782*f**2*g - 258*f*g What is the derivative of -2*n**2 - 29*n*r**2 - 207*n*r + 4949*n - 681737613*r**2 wrt n? -4*n - 29*r**2 - 207*r + 4949 What is the second derivative of -41*c**3*h**2 - 4612*c**3*h - 2*c**2*h**2 + 5*c**2*h - 61673*h**2 + 143*h wrt h? -82*c**3 - 4*c**2 - 123346 What is the second derivative of 4*f**2*s**3 - 15753666*f**2*s - 132092*f*s**4 wrt s? 24*f**2*s - 1585104*f*s**2 Find the second derivative of 818136119*g**2 + 1048862338*g. 1636272238 Find the third derivative of 23*m**6 - 3*m**5 - 904551*m**3 + 139326*m**2 - 30*m - 2 wrt m. 2760*m**3 - 180*m**2 - 5427306 Find the third derivative of -354006531*f**3 + 7013*f**2 - 4*f + 33 wrt f. -2124039186 Differentiate 30483944*d*p + 6*d + 376201 with respect to p. 30483944*d What is the derivative of 2663*s*u - 25*s - 36357224*u wrt s? 2663*u - 25 Find the second derivative of -43416517*g*i**2 - 17*g*i + 8439*g + 2*i + 25 wrt i. -86833034*g What is the third derivative of 23347852*s**4 + 29795*s**2 + 2*s - 15 wrt s? 560348448*s Find the second derivative of 10230192*p**4 + 6927518*p. 122762304*p**2 What is the third derivative of 15*h**6 - 175865*h**4 - 16*h**3 - 129*h**2 - 2*h - 20319? 1800*h**3 - 4220760*h - 96 Find the second derivative of -123564152*q**5 - q - 131070375. -2471283040*q**3 Differentiate 99*g**4 - 554*g**3 - 105*g**2 - 173673770 with respect to g. 396*g**3 - 1662*g**2 - 210*g Find the second derivative of -35042*i**2*o**2 - 25*i**2*o + i**2 + 8*i*o**3 - 13*i*o + 104*i + 7*o**3 - 4*o + 2 wrt o. -70084*i**2 + 48*i*o + 42*o Find the second derivative of 437*c**3*f**2 + 767*c**2*f**2 - c*f - c - 23*f**2 + 22*f + 17 wrt c. 2622*c*f**2 + 1534*f**2 Find the third derivative of 5*u**5 - 79025*u**4 - 8*u**3 - 3570*u**2 - 1239*u wrt u. 300*u**2 - 1896600*u - 48 What is the derivative of -1598*h*p - 78490*h - 330110373*p wrt h? -1598*p - 78490 What is the second derivative of 149401*w**5 + 151*w**2 - 13*w + 324365 wrt w? 2988020*w**3 + 302 What is the second derivative of -q**4 + 5689744*q**2 + 3348*q - 46 wrt q? -12*q**2 + 11379488 What is the third derivative of -1538*k*s**4 + 6*k*s**2 + 6*k*s + 2*k - 14527*s**5 - s**2 - 26694*s + 8 wrt s? -36912*k*s - 871620*s**2 What is the second derivative of -146687309*g**2 + 172942541*g wrt g? -293374618 Differentiate -16*h*n + h + 94812*n - 5141256 wrt n. -16*h + 94812 What is the derivative of -14*j**3*t**3 + 27030281*j**3 - 286144*t**4 wrt t? -42*j**3*t**2 - 1144576*t**3 Find the second derivative of -5873*h**4 - 71*h**2 - 6544170*h. -70476*h**2 - 142 What is the third derivative of 186231656*j**5*t - 65*j**2*t + 24*j**2 + 22*j*t - j + 3*t + 1 wrt j? 11173899360*j**2*t Find the first derivative of -5*n*t + 114004*n + 9471*t - 1380 wrt n. -5*t + 114004 Find the third derivative of -15025212*n**5 - 3754314*n**2 wrt n. -901512720*n**2 Find the first derivative of 234*x**2*z**2 + 1102*x**2 + 36*x - 14170*z**2 + 1264*z + 3 wrt x. 468*x*z**2 + 2204*x + 36 What is the third derivative of 447495*q**3 + 2583213*q**2? 2684970 What is the second derivative of 642*q**3 + 2573*q**2 + 12526775*q wrt q? 3852*q + 5146 What is the third derivative of -27273033*t**5 + 165*t**2 - 7*t + 323? -1636381980*t**2 What is the first derivative of -295834910*c**4 + 143168694 wrt c? -1183339640*c**3 What is the second derivative of 578094696*s**2 + 1100389904*s? 1156189392 Differentiate -377574005*k**2*y - 724224436*k**2 wrt y. -377574005*k**2 Find the first derivative of -37005926*n**3*q - 176*n**3 + 78213*n wrt q. -37005926*n**3 What is the second derivative of 199*p**3 - 13138*p**2 + 20724926*p? 1194*p - 26276 Find the second derivative of -3*c*q**3*z**2 + 2*c*q**3 - 1488197*c*z**2 - 2*c + 412628*q**3*z wrt z. -6*c*q**3 - 2976394*c What is the derivative of -12172272*a*u**2 + 497*a - 2*u**2 + 154981 wrt u? -24344544*a*u - 4*u Find the second derivative of 33830585*t**2 + 126367*t - 83. 67661170 Differentiate 494223612*x**3 - 524118312. 1482670836*x**2 What is the first derivative of -29262979*b - 31013688? -29262979 Find the first derivative of 3142*u**3 - 5924*u**2 - 2*u + 87111829. 9426*u**2 - 11848*u - 2 Find the third derivative of -901340983*s**5 - 879185714*s**2. -54080458980*s**2 Find the third derivative of -21327333*p**4 + 2*p**2 - 21710552 wrt p. -511855992*p Find the second derivative of 10795*i**3*l**3 + 18*i**3*l - 200*i**2*l + 219*i**2 + 2172*i*l**5 - 2*i*l + 2*i wrt l. 64770*i**3*l + 43440*i*l**3 Find the second derivative of 12*d**4 + 7021*d**3 - 8*d**2 - 23528242*d wrt d. 144*d**2 + 42126*d - 16 Find the third derivative of 614*c**2*n**3 - 5*c**2*n**2 + c**2*n + 3339*n**6 + 230*n wrt n. 3684*c**2 + 400680*n**3 What is the second derivative of 92346*a**3*g**2*s - 51*a**3*g**2 + a**3*g*s + a**2 - 14*a*g*s - 10*a + 12*g*s + 3 wrt g? 184692*a**3*s - 102*a**3 Find the third derivative of 218993028*c**3 + 2*c**2 - 62344336 wrt c. 1313958168 What is the third derivative of -3*d**3*r + 3572440*d**3 + 17439*d**2*r + 16*d**2 + 24*d wrt d? -18*r + 21434640 Differentiate -12977534*o**2*y - 14273074*o**2 wrt y. -12977534*o**2 What is the second derivative of -178331415*n**3*r**2 + 5*n**3 + 1432*n**2*r - 2*n**2 + 4*n*r - r - 5 wrt r? -356662830*n**3 Find the second derivative of 272811807*y**3 - 259921546*y - 2 wrt y. 1636870842*y Find the third derivative of -2720678*r**5 + 123*r**3 - 16720387*r**2 + 13 wrt r. -163240680*r**2 + 738 What is the second derivative of 1102834*r**3 - 96*r**2 + 69509634*r - 1? 6617004*r - 192 Find the second derivative of 41487*b**3 - 250*b**2 - 333*b - 53232. 248922*b - 500 What is the second derivative of -36439000*d**2 - 3639*d + 1126? -72878000 Find the second derivative of 174811749*u**3 - 7038813*u. 1048870494*u Find the second derivative of 364961114*h*r**3 + 2*h*r + 53195*r - 333 wrt r. 2189766684*h*r What is the first derivative of 1507*t**3 - 43303*t**2 - 79092438 wrt t? 4521*t**2 - 86606*t Find the second derivative of 1617106*y**2 + y + 1233125 wrt y. 3234212 Find the third derivative of 43966840*n**3 - 96284128*n**2 wrt n. 263801040 Find the first derivative of 6631898*g*l**3 - 2*g*l - 21863868*l**3 wrt g. 6631898*l**3 - 2*l Find the second derivative of 10*r**5 + 15*r**4 + 6035*r**2 + 33877494*r wrt r. 200*r**3 + 180*r**2 + 12070 What is the first derivative of -12695375*a + 27807544 wrt a? -12695375 What is the second derivative of 28*z**3 + 7411*z**2 - 5267*z + 366? 168*z + 14822 What is the third derivative of 141552167*o**4 - 36*o**2 - 168174 wrt o? 3397252008*o Find the third derivative of -11*l**3*o**2 - 10988*l**3*o + 72*l**3 - 108*l**2*o - 6*o**2 - 38352 wrt l. -66*o**2 - 65928*o + 432 Find the second derivative of -50*a**5 + 44586*a**2*z**2 + 2*a*z**2 + 15*a*z - 209164*z**2 - z + 2 wrt a. -1000*a**3 + 89172*z**2 What is the second derivative of -620*b**3 + 29469*b**2 - 12978743*b wrt b? -3720*b + 58938 What is the third derivative of 8610701*t**3*v**3 + t**3 - 168*t**2*v**3 + 2*t**2*v**2 - 3*v**3 + 95*v wrt t? 51664206*v**3 + 6 Find the first derivative of 1239*p*v**2 - p*v + 49340957*p + 1387*v wrt v. 2478*p*v - p + 1387 What is the third derivative of 620090*c**3*s**3*v**2 - 16*c**3*s*v**2 + 2*c**2*s**3*v - 2*c**2*s**3 - 57*c**2*s*v**2 + c*s*v**2 + 246*s**3*v + 13*s*v
{ "pile_set_name": "DM Mathematics" }
be (-8)/(-12) + (-2)/(-6). Suppose -c + 3*c = -5*b + 1750, b - 1742 = -2*c. List the prime factors of k/(-4) - c/(-24). 2, 3 Let l = 13 + -25. Let u = -13 - l. List the prime factors of u - (-3)/((-12)/(-88)). 3, 7 Suppose 4*l + 4633 = 4*j + 1089, 3*j - l - 2652 = 0. List the prime factors of j. 883 Suppose 2*j - 138 = -44. What are the prime factors of j? 47 Let y(i) = i**2 + 6*i - 11. Let c be y(-8). Suppose 1 = c*v + 16. Let x = 26 + v. List the prime factors of x. 23 Let m(r) = -3*r. Let d be m(-1). Suppose -1 = -2*c + 21. Suppose 4*x - 9 = 4*j + c, -39 = -3*x - d*j. What are the prime factors of x? 3 Let a(s) = -14*s - 2. Let l be a(2). Let p(c) = -c**3 - 29*c**2 + 31*c + 35. What are the prime factors of p(l)? 5 Let b be 2/(-4)*6 + 63. Suppose -3*v = -5*i - v, 16 = 3*i + 2*v. Suppose b = i*f - 28. What are the prime factors of f? 2, 11 What are the prime factors of -7 + 35/5 + 1271 + -1? 2, 5, 127 Let s(m) be the second derivative of 0 - 5*m + 1/6*m**4 + 7/6*m**3 + 3*m**2. List the prime factors of s(-5). 3, 7 What are the prime factors of (-1425)/38*168/(-9)? 2, 5, 7 Suppose 93 = -2*i + 3*i - 5*l, 5*i - 553 = 3*l. Let s = i + -36. List the prime factors of s. 7, 11 Suppose 1632 + 28 = 5*c - 3*i, -4*i + 332 = c. What are the prime factors of c? 2, 83 Let p(u) = 53*u**2 - 5*u - 40. What are the prime factors of p(-5)? 2, 5, 131 Suppose 679*j - 683*j + 5520 = 0. List the prime factors of j. 2, 3, 5, 23 Let j be (-93)/(-2)*8/(-6). Let f = 29 - j. What are the prime factors of (-1)/(-1)*f/7? 13 Suppose 5*m - 348 = -13. Let d = -54 + m. List the prime factors of d. 13 Let o be 2*(138/(-4) + 1). Let w be 4 + -3 + -1 + -2. List the prime factors of 2*(o/w + -1). 5, 13 Suppose 42 = 13*w - 15*w. What are the prime factors of (-2)/(-6) + (-1211)/w? 2, 29 Let y = -63 + 163. Let m = -8 + y. What are the prime factors of m? 2, 23 Let u = 1084 + -608. What are the prime factors of u? 2, 7, 17 Let d(a) = a**3 - 2*a**2 + 2*a + 685. What are the prime factors of d(0)? 5, 137 What are the prime factors of (15/(-6)*-2 + -4)*669? 3, 223 Let z(v) = 12*v**2 + 4. Let n be z(3). Let t = -71 + n. Suppose 2*w - 5*c + t = 4*w, 3*c - 51 = -2*w. List the prime factors of w. 3, 11 Suppose 3*g - 180 = -2*g. Let z be (-6)/21 + (-4408)/203. Let b = z + g. List the prime factors of b. 2, 7 Suppose 24*t - 21098 = 2*t. What are the prime factors of t? 7, 137 Let t = 987 - 422. Suppose 0 = 4*q - p - t, 3*q + 2*p - 428 = 7*p. List the prime factors of q. 3, 47 Let j(l) = -15*l**2 + 2*l + 4447. What are the prime factors of j(0)? 4447 Suppose 8 = -0*p + 4*p. Suppose -5*k = 4*j + 17, -15 + 45 = -3*j + p*k. List the prime factors of ((-318)/24)/(2/j). 53 Let w = -202 + 252. List the prime factors of w. 2, 5 Let a(o) be the third derivative of 0*o + 0 - 1/6*o**5 + 5*o**2 + 7/3*o**3 - 1/2*o**4 + 1/120*o**6. List the prime factors of a(11). 3 Let o(x) = 115*x**2 + 3*x - 2. Let r be o(-1). List the prime factors of 12914/r - (1 - (-6)/(-10)). 3, 13 Let q = 3 - 1. Suppose 4*g + 5*z + 74 = 0, 0*g - 5*g - 74 = -3*z. List the prime factors of (-87)/q*g/24. 29 Let n(d) = -2*d - 4. Let j be n(-7). Let q = j + -6. What are the prime factors of (19/q)/(5/40)? 2, 19 Let x(t) = -t**3 - 3*t**2 + 2*t - 2. Let z be x(-4). Suppose 4 = -y + z. Suppose 2*a + 0*h - 38 = -h, 0 = 5*a + y*h - 95. List the prime factors of a. 19 Let j(b) = -b - 4*b**2 + 1 - 2 + 3*b + 3*b**2 + 7*b**3. Suppose 4*f - u + 3*u + 4 = 0, 5*u = -f - 19. What are the prime factors of j(f)? 7 Suppose -2*y - 3*y - 1610 = -4*w, 5*y + 10 = 0. What are the prime factors of w? 2, 5 Let r(u) = -2354*u**3 + 3*u**2 + 15*u + 14. What are the prime factors of r(-1)? 2, 19, 31 Let d(w) = 106*w + 60. What are the prime factors of d(23)? 2, 1249 Let i(k) = -k**3 + 11*k**2 - 14*k - 11. Let b be i(10). Let d = b - -158. What are the prime factors of d? 107 List the prime factors of (-41)/(123/(-14706)) + 0. 2, 3, 19, 43 Let t(c) = 10*c**2 - c - 3. Let z be t(2). Let n = z - 33. Suppose -7*q + n*q + 35 = 0. What are the prime factors of q? 7 Suppose -4*j - 316 = -f, -5*f = -f - 2*j - 1194. Suppose 4*v = -2*k + 130, k + 3*k = v + f. What are the prime factors of k? 73 Let v(p) = p**3 + 10*p**2 + 13*p - 7. Let j be v(-7). Let m = j - 5. What are the prime factors of m? 2, 11 Let o be 6*1/2 - 33. Let m be 3/((o/4)/(-5)). Suppose d - 2*d + 4 = 0, m*d - 398 = -5*g. What are the prime factors of g? 2, 3, 13 Let u(n) = 10*n**2 + 24*n + 25. List the prime factors of u(-15). 5, 383 Suppose -4*j = -2*j - q - 470, 3*j - 719 = 5*q. List the prime factors of j. 233 Suppose -6*l + 7*l = -4. Let t be -4*-2*l/8. Let u = t + 61. List the prime factors of u. 3, 19 Suppose -9*u + 1727 = 242. Suppose -u = -p + f, -2*p + 0*f + f + 330 = 0. List the prime factors of p. 3, 5, 11 Let o(q) = 5*q + 2. Suppose -5*c + 3*l = -l - 55, -5*l = -3*c + 46. Let u be o(c). Suppose -8 + u = 3*y + 4*r, 5*y + 2*r = 67. List the prime factors of y. 3, 5 Suppose -w - r + 852 = 0, -4*w + 4*r = 124 - 3548. List the prime factors of w. 2, 7, 61 Suppose -n - f - 22 = 0, -n - 10 = -4*f - 3. Let l = -6 - n. What are the prime factors of l + (4 + 8)/3? 17 Let n(d) = -2*d**3 + 5*d**2 - d + 3. Let i be n(-4). Suppose 4*o - 53 = i. List the prime factors of o. 67 Let g(u) = 30*u**2 + 9*u - 13. List the prime factors of g(4). 503 Suppose 5*c = 3*d + 9 - 40, c = d - 7. Let w(f) = 8*f**3 + 5*f**2 - 4*f - 1. What are the prime factors of w(d)? 3, 5 Suppose -3*l = 7*r - 2*r - 903, -r + 181 = l. Suppose 300 + r = 6*b. List the prime factors of b. 2, 5 Suppose 22 = -5*k - 23. Let x = k + 8. What are the prime factors of 24 - -13 - 0/x? 37 Suppose 7*g = 12*g + 15. Let n be (g/2)/((-6)/(-156)). Let l = 91 + n. What are the prime factors of l? 2, 13 Let g be 1*((2 - 12) + 2). Let t(f) = 7*f - 1. Let l(x) = -6*x. Let w(z) = 4*l(z) + 3*t(z). What are the prime factors of w(g)? 3, 7 Suppose 4*i = -4*q + 17236, 3*i = 38*q - 43*q + 12937. What are the prime factors of i? 2, 269 Let k(w) = -w**2 - 13*w - 24. Let y be k(-11). Let n(v) = -4*v**3 - 2*v**2 + v + 2. What are the prime factors of n(y)? 2, 3 Let u be 8 + -2 - 3 - -1. Suppose -b = -5*t - 4, -3*t = u*b - 0*b - 16. Suppose t*c = -5*c + 155. List the prime factors of c. 31 Let b = 116 + -117. What are the prime factors of (-92)/((b + 2)/(4 + -5))? 2, 23 Let s = -197 - -131. Let k = 46 + s. List the prime factors of k/(-8)*(-56)/(-10). 2, 7 Suppose -404 = -2*c + 256. List the prime factors of c. 2, 3, 5, 11 Let k = 984 + -91. List the prime factors of k. 19, 47 Suppose -5*d - 4*x + 100 = 0, 0*d = 5*d - 2*x - 100. Suppose 5*g - 1 + 19 = 3*n, 0 = 2*g + 2*n + d. List the prime factors of g*(3 + (-27)/3). 2, 3 Let h(v) be the third derivative of v**5/4 + v**4/6 + v**3/6 - v**2 + 4. What are the prime factors of h(-4)? 3, 5 What are the prime factors of (2 - -29)/((-18)/(-234))? 13, 31 Let x(c) = -6*c**2 + 6*c - 21. Let p(t) = -3*t**2 + 3*t - 11. Let i(v) = 5*p(v) - 3*x(v). Let s be i(6). Let n = s + -36. What are the prime factors of n? 2, 31 Let a(h) = h**2 + 26*h + 43. What are the prime factors of a(-48)? 7, 157 Suppose 453 + 691 = 2*c. List the prime factors of c. 2, 11, 13 Let i(m) = -m**3 + 5*m**2 - 3*m + 3. Let u be i(5). Let x be (u/27)/((-6)/27). Suppose x*n - 5*v + 2 - 45 = 0, 0 = -2*v + 10. What are the prime factors of n? 2, 17 Suppose j = 5*v + 2*j - 154, -4*v + 4*j = -104. Suppose 0 = 3*i - 8*i + 105. Let b = v - i. List the prime factors of b. 3 Suppose -i + 0 = -3*t + 1, 4 = 2*t + i. Let j be (1 - t)*3/6. What are the prime factors of j + (-2 - -2) + 5? 5 Let m(n) be the third derivative of n**6/120 - 7*n**5/60 + 5*n**4/12 - 3*n**3/2 - 8*n**2. Let s be m(6). Suppose -s + 199 = 4*k. List the prime factors of k. 2, 23 Suppose 0 = 4*w - 3*x + 54, w - 3*w + x - 26 = 0. Let d be 92/15 + w/90. Suppose d*a - 2*a - 144 = 0. What are the prime factors of a? 2, 3 Suppose 5149 = 16*c - 115. Let u = -196 + c. What are the prime factors of u? 7, 19 Suppose -2*b - 4*i = 42, 0 = 3*b - 4*b + i - 21. Let g be (-2)/(12/b)*2. Suppose 0 = -p + 12 + g. What are the prime factors of p? 19 Let m(b) = b**3 + 8*b**2 + 3*b - 1. Let h be (2/(-16)*6)/(3/24). List the prime factors of m(h). 53 Let l = 473 + -299. Let p = l - 99. What are the prime factors of p? 3, 5
{ "pile_set_name": "DM Mathematics" }
2. What is n in y(n) = 0? -3 Let l(n) be the third derivative of -n**6/20 + n**5/20 + n**4/8 + 16*n**2. Let l(b) = 0. Calculate b. -1/2, 0, 1 Let v be 3 + (-1)/((-4)/12). Factor -v*r + 6*r**2 + 3*r**3 - 4*r**3 - 2*r**3 + 3*r. -3*r*(r - 1)**2 Let o(c) be the second derivative of 3*c**5/10 + c**4/6 - 8*c**3/3 + 4*c**2 + c. Let o(j) = 0. Calculate j. -2, 2/3, 1 Find k, given that 6*k**2 + 7*k**3 - 15*k**2 + 12 + 8*k**3 - 12*k**3 = 0. -1, 2 Let l(m) be the first derivative of m**5/15 - m**4/12 - m**3/9 + m**2/6 + 5. Determine d so that l(d) = 0. -1, 0, 1 Factor 0 - 2/9*s - 2/9*s**2. -2*s*(s + 1)/9 Let o be -1 - (-2 + (21/(-7) - -1)). Find g, given that 0 - 1/2*g + 7/4*g**o + 3/4*g**2 - 5/4*g**5 - 3/4*g**4 = 0. -1, 0, 2/5, 1 Let v(j) be the third derivative of -j**7/6300 + j**6/3600 + j**5/600 + j**4/12 + 3*j**2. Let l(i) be the second derivative of v(i). Factor l(x). -(x - 1)*(2*x + 1)/5 Let r(f) be the first derivative of -5*f**4 + 92*f**3/3 - 40*f**2 - 48*f - 28. Find q such that r(q) = 0. -2/5, 2, 3 Suppose -18 = -12*p + 54. Let j(l) be the second derivative of 1/20*l**5 - 7/60*l**p + 2*l + 0 - 1/6*l**3 + 7/24*l**4 + 0*l**2. Factor j(q). -q*(q - 1)*(q + 1)*(7*q - 2)/2 Let q(j) be the third derivative of j**6/720 + j**5/72 + j**4/18 + j**3/9 + 14*j**2. Factor q(u). (u + 1)*(u + 2)**2/6 Let y(c) be the second derivative of -c**6/150 + c**4/30 - c**2/10 + 12*c. Factor y(v). -(v - 1)**2*(v + 1)**2/5 Let c be (-1)/5 - (-19)/(-5) - -6. Let t(f) be the first derivative of 0*f + 0*f**3 + 1/2*f**c - 1/2*f**4 + 3 + 0*f**5 + 1/6*f**6. Solve t(y) = 0. -1, 0, 1 Factor -6/7*j**3 + 0 + 2/7*j**4 + 0*j - 8/7*j**2. 2*j**2*(j - 4)*(j + 1)/7 Let f be (2 + -1)/(2/8). Factor -2*v**4 + v + 3*v**f - v**5 - v**2 + v**3 - v. -v**2*(v - 1)**2*(v + 1) Let k = 83/164 - 1/164. Factor 2*g + k*g**2 + 2. (g + 2)**2/2 Let j(m) be the first derivative of -231/25*m**5 + 51/20*m**4 + 12/5*m + 48/5*m**2 - 49/10*m**6 - 4 + 73/5*m**3. Let j(k) = 0. Calculate k. -1, -2/7, 1 Let v(j) be the first derivative of 9*j**5/25 - 21*j**4/10 + 52*j**3/15 - 11*j**2/5 + 3*j/5 + 17. Solve v(x) = 0. 1/3, 1, 3 Let v(d) = -d**3 - 7*d**2 - d - 6. Let g be v(-5). Let f be 2/(-13) - g/78. What is j in -3/2*j - 1/2*j**4 + 1 + 3/2*j**3 - f*j**2 = 0? -1, 1, 2 Let n(h) be the first derivative of h**5/10 + h**4/8 - h**3 - h**2 + 4*h - 3. Let n(r) = 0. What is r? -2, 1, 2 Let x(p) = 4*p + 9. Let i be x(5). Factor -29*l + 0*l**4 - 15*l**3 + 3*l**2 + i*l + 12*l**4. 3*l**2*(l - 1)*(4*l - 1) Let h(d) = 5*d**2 - 1 - 3*d + 8*d - 1. Suppose 5*c - 2*y = 5 + 14, -5*y - 19 = -3*c. Let r(n) = 6*n**2 + 6*n - 3. Let o(u) = c*h(u) - 2*r(u). Factor o(f). 3*f*(f + 1) Let m(f) be the second derivative of -1/50*f**6 - 4*f - 4/5*f**3 + 0 - 1/70*f**7 + 1/20*f**4 + 6/5*f**2 + 3/20*f**5. Factor m(a). -3*(a - 1)**3*(a + 2)**2/5 Let h(d) be the first derivative of -1/18*d**3 - 1/6*d**2 - 1/6*d + 4. Suppose h(p) = 0. What is p? -1 Suppose 4*l = l + 9. What is f in -8*f**4 + 6*f**5 + 10*f**5 - 4*f**l + 5*f**5 = 0? -2/7, 0, 2/3 Let k(f) = -2*f - 2. Let a be k(-2). Determine m so that -5*m**3 - m**2 + 4*m**2 - 5*m**a = 0. -2/5, 0 Let s(d) be the first derivative of -1/2*d**4 - 4/9*d + d**2 + 4/27*d**3 + 5. Factor s(k). -2*(k - 1)*(k + 1)*(9*k - 2)/9 Let o(g) be the first derivative of g**6/120 - g**5/20 + g**4/8 - g**3/6 - g**2 + 3. Let z(r) be the second derivative of o(r). Factor z(q). (q - 1)**3 Let m be (-8)/2 - (-4964)/1095. Let -m*c + 2/5 - 2/15*c**4 - 4/15*c**2 + 8/15*c**3 = 0. Calculate c. -1, 1, 3 Let b(q) be the first derivative of 1/6*q**2 + 1/18*q**3 + 1 + 0*q. Factor b(h). h*(h + 2)/6 Factor -4/7*h**3 + 4/7 + 12/7*h**2 - 12/7*h. -4*(h - 1)**3/7 Let s = 4/19 - -56/95. Factor s - 2/5*v**3 + 2/5*v - 4/5*v**2. -2*(v - 1)*(v + 1)*(v + 2)/5 Let w(h) be the third derivative of -1/15*h**5 - 2/105*h**7 - 1/20*h**6 + 0 + 2*h**2 - 1/24*h**4 - 1/336*h**8 + 0*h**3 + 0*h. Factor w(x). -x*(x + 1)**4 Let u(w) = -2*w**2 - 8*w + 2. Let d be u(-4). Suppose -4*l = -34 - 6. Let l*b**5 + 0 - 12*b**4 + 8/5*b - 22/5*b**3 + 24/5*b**d = 0. Calculate b. -2/5, 0, 1 Let u be 2*((-1)/(-6) - 0). Factor -t**2 - 1/3*t**4 - u*t + 0 - t**3. -t*(t + 1)**3/3 Let v(s) = -5*s - 7. Let n be v(-7). Determine q, given that 20*q**5 - 10*q + 2*q + n*q**4 - 45*q**2 + 17*q**2 - 12*q**3 = 0. -1, -2/5, 0, 1 Let g(i) be the second derivative of -i**7/5880 - i**6/504 - i**5/105 - i**4/42 - 7*i**3/6 - i. Let l(n) be the second derivative of g(n). Factor l(c). -(c + 1)*(c + 2)**2/7 Let s be 1/((-2)/(-4))*1. Factor 1/4 - 1/4*f**s + 0*f. -(f - 1)*(f + 1)/4 Let z(v) be the third derivative of v**6/360 - v**5/180 - 5*v**4/72 - v**3/6 + 5*v**2 - v. Solve z(d) = 0. -1, 3 Find w, given that -8/5*w**3 + 4/5 - 2/5*w**5 + 2*w - 8/5*w**4 + 4/5*w**2 = 0. -2, -1, 1 Let m(q) be the second derivative of 1/30*q**4 + 0 + q - 2/5*q**2 + 1/15*q**3. Factor m(u). 2*(u - 1)*(u + 2)/5 Let z(a) be the first derivative of -a**5/20 + a**4/4 - a**3/3 - 25. Suppose z(h) = 0. What is h? 0, 2 Factor 0*f**2 + 2/17*f**3 - 14/17*f - 12/17. 2*(f - 3)*(f + 1)*(f + 2)/17 Let o(t) be the third derivative of -t**2 + 0*t**3 + 0 + 1/24*t**4 + 0*t - 1/120*t**5. Suppose o(w) = 0. Calculate w. 0, 2 Let o be 9 + -2 + 3 + -3. Determine f so that -10*f - 7 + o - 2*f**2 + 4*f = 0. -3, 0 Let r(u) be the third derivative of 0*u + 7/36*u**4 + 0 - 23/180*u**6 - 7/90*u**5 + 4*u**2 - 1/9*u**3 + 8/315*u**7 + 2/63*u**8. Suppose r(w) = 0. What is w? -1, 1/4, 1 Factor 8/9*r**2 - 2/9*r**3 - 2/3*r + 0. -2*r*(r - 3)*(r - 1)/9 Let a = 8 + -8. Let u(x) be the second derivative of a + 2*x - 1/60*x**5 + 0*x**2 + 0*x**4 + 0*x**6 + 0*x**3 + 1/126*x**7. Let u(y) = 0. Calculate y. -1, 0, 1 Let b be ((-6)/(-4))/(5/(-10)). Let u = 7 + b. Factor 0*s**2 + 2*s**3 + u*s**2 - 2*s**2. 2*s**2*(s + 1) Let b(j) be the first derivative of 2/3*j**3 + 3*j**2 + 4 + 0*j. Solve b(l) = 0. -3, 0 Let x(a) be the second derivative of -a**4/6 + 2*a**3/3 - a**2 + 23*a. Factor x(v). -2*(v - 1)**2 Let z be 0/(1 - (1 + 1)). Suppose z*y = -5*y. Factor 2/3*i + 0 + 1/3*i**4 - i**2 + y*i**3. i*(i - 1)**2*(i + 2)/3 Let y(c) = -2*c**3 + 6*c**2 + 7*c - 15. Let w be (-3 + 4)/(1/(-6)). Let n(k) = 2*k**3 - 6*k**2 - 6*k + 14. Let x(v) = w*y(v) - 7*n(v). Factor x(o). -2*(o - 2)**2*(o + 1) Let g be 341/(-93) + 1*4. Factor -1/3*z**2 + g*z**4 + 0 - 1/3*z**3 + 1/3*z. z*(z - 1)**2*(z + 1)/3 Let o be 52/16 + 2/(-8). Find r such that 4/3*r**2 - 2/3*r + 0 - 2/3*r**o = 0. 0, 1 Suppose -24*f + 8 = 8. Factor f*s**3 + 1/3*s**4 + 1/3 + 0*s - 2/3*s**2. (s - 1)**2*(s + 1)**2/3 Let x(f) be the second derivative of -f**5/4 + 5*f**4/12 - f. Suppose x(m) = 0. Calculate m. 0, 1 Let w(h) be the first derivative of h**4/12 - h**3/3 + h**2/2 + 3*h - 3. Let g(m) be the first derivative of w(m). Suppose g(k) = 0. Calculate k. 1 Let d be (-3)/((18/(-4))/3). Factor -3*t**3 + 8*t**2 - 10*t**d + 2*t - 2*t**3 + 3*t**3 + 2. -2*(t - 1)*(t + 1)**2 Let v be 5 + -3*(-6)/(-9). Let 30*k**v + 4*k - 4*k - 15*k**3 + 9*k**4 + 6*k**2 = 0. What is k? -1, -2/3, 0 Let z(i) = i - 3. Let b be z(8). Suppose 0 = h - b*h. Suppose 1/2*l**2 + h*l - 1/2 = 0. Calculate l. -1, 1 Factor g**2 + 6 + 4*g - 2*g - 5. (g + 1)**2 Let t be (-2)/4*-2 - 1. Let v(d) be the third derivative of 0*d**4 + 1/420*d**7 + 1/120*d**5 + 0*d**3 + 0 + t*d + 1/120*d**6 - 2*d**2. Factor v(u). u**2*(u + 1)**2/2 Let s(f) be the third derivative of -f**8/840 + f**7/210 - f**6/180 - f**3/2 + 3*f**2. Let g(c) be the first derivative of s(c). Factor g(m). -2*m**2*(m - 1)**2 Let a(g) be the third derivative of g**7/630 - g**5/180 + 6*g**2. Suppose a(s) = 0. Calculate s. -1, 0, 1 Let l(r) be the first derivative of -1 + 0*r - 1/12*r**6 - 1/8*r**4 - 1/5*r**5 + 0*r**3 + 0*r**2. Factor l(q). -q**3*(q + 1)**2/2 Let u(q) be the first derivative of -q**9/3024 + q**7/840 - 2*q**3/3 + 3. Let h(a) be the third derivative of u(a). Find o, given that h(o) = 0. -1, 0, 1 Let m(o) be the third derivative of 1/60*o**5 + 0 - 2/9*o**3 - 1/360*o**6 + 0*o + 0*o**4 + 3*o**2. Factor m(w). -(w - 2)**2*(w + 1)/3 Let j(r) = -r**4 + r**2 + 2*r - 2. Let n(q) = -3*q**4 + 2*q**2 + 6*q - 7. Let i(y) = 14*j(y) - 4*n(y). Factor i(a). -2*a*(a - 2)*(a + 1)**2 Let r = 12 + -6. Suppose -r = -0*m - 3*m. Factor -w**2 - 1 + 0*w**2 + 3*w**m - w**4. -(w - 1)**2*(w + 1)**2 Let k(t) = -t**2 + 14*t + 10
{ "pile_set_name": "DM Mathematics" }
picking 2 d when two letters picked without replacement from {e: 1, o: 4, n: 3, d: 1, b: 5, q: 1}? 0 What is prob of picking 4 o when four letters picked without replacement from ttoeoptoypeooatatat? 5/3876 What is prob of picking 3 i when three letters picked without replacement from ssiicisjssisuqiq? 1/56 Calculate prob of picking 2 a when two letters picked without replacement from {n: 6, h: 7, z: 1, q: 2, a: 4}. 3/95 What is prob of picking 1 d and 1 p when two letters picked without replacement from {b: 1, d: 1, a: 3, x: 5, p: 1, z: 3}? 1/91 Two letters picked without replacement from jjjxxqxxxoxxoxq. What is prob of picking 2 x? 4/15 Two letters picked without replacement from {m: 11, x: 3, p: 1, h: 4}. What is prob of picking 1 m and 1 p? 11/171 Calculate prob of picking 1 n, 1 a, and 1 u when three letters picked without replacement from {w: 4, u: 2, n: 1, a: 1}. 1/28 Calculate prob of picking 1 z and 1 d when two letters picked without replacement from ztydkddtzz. 1/5 What is prob of picking 3 f and 1 j when four letters picked without replacement from {j: 3, f: 15}? 91/204 Four letters picked without replacement from {x: 2, o: 1, w: 3, t: 1, d: 13}. Give prob of picking 1 o, 2 d, and 1 t. 26/1615 Three letters picked without replacement from {o: 2, b: 10}. Give prob of picking 1 b and 2 o. 1/22 Two letters picked without replacement from {g: 17, d: 1, f: 1}. What is prob of picking 1 g and 1 d? 17/171 Two letters picked without replacement from {w: 1, s: 1, c: 1, l: 3, a: 4, x: 2}. Give prob of picking 1 s and 1 a. 2/33 Three letters picked without replacement from sswsyywiywssjyywwyw. Give prob of picking 3 s. 10/969 Four letters picked without replacement from {n: 3, g: 4, s: 7, c: 2, d: 1, p: 1}. What is prob of picking 1 n, 1 c, 1 s, and 1 g? 14/255 Calculate prob of picking 1 x, 1 s, and 1 j when three letters picked without replacement from tsxjs. 1/5 Three letters picked without replacement from {u: 1, v: 5, t: 7, d: 1}. Give prob of picking 3 v. 5/182 Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {p: 4, f: 1, d: 2, a: 2, x: 1}. 2/45 Two letters picked without replacement from {o: 2, r: 7}. What is prob of picking 2 o? 1/36 Three letters picked without replacement from {k: 7, h: 4}. What is prob of picking 3 k? 7/33 Calculate prob of picking 1 u and 1 y when two letters picked without replacement from uttuyuruy. 2/9 What is prob of picking 1 d and 2 v when three letters picked without replacement from ddddddvv? 3/28 Calculate prob of picking 1 x, 1 c, and 1 o when three letters picked without replacement from xyxxxofc. 1/14 Four letters picked without replacement from {g: 4, t: 15}. Give prob of picking 4 g. 1/3876 Two letters picked without replacement from {l: 6, p: 3, s: 6}. What is prob of picking 2 p? 1/35 Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {z: 4, e: 4, q: 1, y: 1, a: 1, c: 1}. 2/33 Three letters picked without replacement from anan. What is prob of picking 2 n and 1 a? 1/2 Three letters picked without replacement from ekeeoeeokeke. What is prob of picking 3 e? 7/44 Three letters picked without replacement from {k: 1, r: 3, w: 10, q: 1, t: 2}. What is prob of picking 1 q and 2 t? 1/680 Two letters picked without replacement from dafgmgf. Give prob of picking 1 m and 1 f. 2/21 Calculate prob of picking 2 w when two letters picked without replacement from swwwvpnssrvss. 1/26 Three letters picked without replacement from {k: 2, e: 1, b: 3, s: 1}. What is prob of picking 1 b, 1 s, and 1 k? 6/35 Two letters picked without replacement from {x: 6, d: 2, o: 2, z: 1}. Give prob of picking 2 x. 3/11 What is prob of picking 2 v when two letters picked without replacement from ttttttvttttvt? 1/78 Two letters picked without replacement from {t: 1, z: 8, w: 5, d: 4}. What is prob of picking 1 w and 1 z? 40/153 What is prob of picking 1 z and 1 v when two letters picked without replacement from {v: 2, x: 6, z: 1, o: 2}? 2/55 What is prob of picking 1 l, 1 p, and 1 s when three letters picked without replacement from xlspplxpnx? 1/20 Two letters picked without replacement from {v: 2, b: 2, i: 1}. What is prob of picking 1 i and 1 v? 1/5 Two letters picked without replacement from {j: 4, s: 1, e: 2, z: 12}. Give prob of picking 1 j and 1 s. 4/171 Three letters picked without replacement from {r: 2, c: 7}. Give prob of picking 3 c. 5/12 What is prob of picking 1 y and 1 z when two letters picked without replacement from {g: 2, u: 2, z: 2, y: 6}? 2/11 What is prob of picking 1 l and 1 p when two letters picked without replacement from plpl? 2/3 Two letters picked without replacement from {i: 5, k: 2, x: 1, g: 1}. Give prob of picking 2 k. 1/36 Three letters picked without replacement from hozpuzonoznzoop. Give prob of picking 1 o and 2 z. 6/91 Three letters picked without replacement from {u: 8, l: 7, c: 3, i: 2}. Give prob of picking 3 u. 14/285 Calculate prob of picking 1 a and 2 c when three letters picked without replacement from iuxuicuuuuafaciua. 3/680 Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {h: 1, q: 2, n: 1, k: 2, a: 1, z: 2}. 1/9 Three letters picked without replacement from {p: 5, l: 10, s: 3, a: 2}. What is prob of picking 3 l? 2/19 Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, f: 5}. 1/21 What is prob of picking 1 r and 1 a when two letters picked without replacement from {h: 1, a: 1, d: 2, u: 1, k: 2, r: 1}? 1/28 What is prob of picking 1 l and 1 g when two letters picked without replacement from llkg? 1/3 Four letters picked without replacement from kyyyyyyyky. What is prob of picking 2 k and 2 y? 2/15 Calculate prob of picking 1 l and 1 x when two letters picked without replacement from nillollinnnxionni. 1/34 Two letters picked without replacement from cckfczrurcfzrrc. What is prob of picking 1 c and 1 r? 4/21 Two letters picked without replacement from {o: 1, x: 3, h: 5, l: 1}. What is prob of picking 1 x and 1 l? 1/15 Calculate prob of picking 1 f and 1 z when two letters picked without replacement from vfzsaft. 2/21 Calculate prob of picking 3 j and 1 y when four letters picked without replacement from {x: 1, y: 1, j: 4, l: 2}. 2/35 Two letters picked without replacement from nnjjzisxnnxnnjxxnnnj. What is prob of picking 2 x? 3/95 Two letters picked without replacement from xpppppxppppxpppp. What is prob of picking 2 p? 13/20 What is prob of picking 1 w and 3 a when four letters picked without replacement from xwaawxaafawfxaafawxa? 112/1615 Two letters picked without replacement from {k: 4, f: 5, a: 4, v: 1, t: 2, m: 4}. Give prob of picking 1 m and 1 t. 4/95 Two letters picked without replacement from {h: 6, q: 4, e: 4, v: 1, o: 1}. Give prob of picking 2 e. 1/20 Three letters picked without replacement from {s: 3, v: 5, l: 1, a: 3, f: 1, y: 2}. Give prob of picking 1 a, 1 l, and 1 y. 6/455 Three letters picked without replacement from flwtffgfffflffttffk. What is prob of picking 1 k, 1 l, and 1 w? 2/969 Three letters picked without replacement from {f: 2, h: 3}. Give prob of picking 2 h and 1 f. 3/5 Four letters picked without replacement from {t: 1, h: 4, a: 2, r: 1, c: 2}. Give prob of picking 2 a and 2 h. 1/35 Two letters picked without replacement from umwyxulmyxuu. What is prob of picking 1 u and 1 l? 2/33 Three letters picked without replacement from uuruuuuu. What is prob of picking 3 u? 5/8 What is prob of picking 1 j and 3 l when four letters picked without replacement from {j: 4, l: 6}? 8/21 Calculate prob of picking 1 i and 1 y when two letters picked without replacement from tyglibg. 1/21 Three letters picked without replacement from tpdzp. Give prob of picking 2 p and 1 t. 1/10 Four letters picked without replacement from wwfffww. What is prob of picking 2 f and 2 w? 18/35 What is prob of picking 1 t, 2 c, and 1 o when four letters picked without replacement from {y: 3, h: 3, c: 2, t: 4, o: 3, b: 1}? 3/455 Calculate prob of picking 2 h and 2 r when four letters picked without replacement from hiuhuauhuihrhduararr. 4/323 Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {y: 2, z: 2, r: 1,
{ "pile_set_name": "DM Mathematics" }
(-1))/2. Let s = -0.3 + -7.7. Let j = s - -7.7. What is the nearest to -2/7 in j, l, -2/9? j Let w = 2.1 + 2.6. Let c = 5 - w. Let v = -0.734 - -0.234. What is the nearest to -2/5 in 0, c, v? v Let q = -17.86 - -18. Let m = 1.86 + q. What is the closest to 0.1 in 4, -0.3, m? -0.3 Let q = -1.4 + 1.7. Let u = -0.31 + -4.69. Which is the nearest to 1? (a) -0.1 (b) q (c) u b Let g = 39 - 39. Let x be 5/((-50)/4) + 0. Which is the closest to x? (a) -4 (b) g (c) -0.4 c Let r = 0.04 + 0.06. Let m be ((-2)/6*-2)/((-10)/(-6)). What is the closest to r in 0, m, 1/2? 0 Let h = -0.04 - 0.06. Suppose -5*u = -2*c + 23, -3*u = -0*c + 3*c - 3. What is the closest to h in 0.5, -5, u? 0.5 Suppose -x + 2 = -2*x. Let z = x + 5/2. Let b = -5/69 + 61/207. What is the nearest to -1 in z, b, 2? b Suppose 4*r = -5*f - 1, -3*f + 5*r = -2*f + 6. Let y = -116 - -578/5. Let t = -3.4 + -0.6. Which is the nearest to f? (a) -5 (b) y (c) t b Let b = -364 + 364. Let z = 3 + -2. What is the nearest to z in 1/2, -0.5, b? 1/2 Let u = 0.074 - 52.074. Let s = -48.9 - u. Let z = s + -0.1. What is the nearest to 2/3 in -2, z, -1? -1 Suppose 3*f = 2*f + 3. Let s = -0.08 - -0.14. Let w = 0.04 + s. Which is the closest to w? (a) 1/3 (b) f (c) 2/11 c Let f = 4.2 + -4.1. Let o be 0 + 0 - 3/(-4). Let u = 3.2 - 0.2. What is the nearest to f in 0.2, u, o? 0.2 Let n = 5 - 3. Let j = -3 - -2. Which is the nearest to 2? (a) j (b) n (c) -2/5 b Let p = 17/275 + 3/25. Which is the closest to -0.3? (a) p (b) -3 (c) -6 a Let w(b) = b**2 + 8*b - 15. Let f be w(-10). Let c(g) = -22*g + 1. Let o be c(1). Let q be (6/4)/(o/4). What is the nearest to q in 2/17, -2, f? 2/17 Let q = 0.3 - -0.3. Let b = q + -0.5. What is the nearest to -0.2 in -1/6, 1, b? -1/6 Let g = 11 - 10. Let t = g + 0. What is the nearest to t in 0.2, -1, -0.1? 0.2 Let n = -1 + 0. Let d = -132 + 132. Which is the nearest to 1/2? (a) n (b) d (c) 2/5 c Let q = 6 + -8. What is the closest to q in 1, -3, -0.1? -3 Let a(w) = w**2 + w + 4. Let l be a(0). Let c be ((-2)/l)/((-1)/(-4)). Let b = 7 - 8. What is the closest to b in -3, c, 1/6? c Suppose -3*s - 12 + 0 = 0. Suppose -j - l = -0*j - 1, 0 = -4*l. Let k be 0/j + -9 + 9. Which is the nearest to 1? (a) s (b) k (c) -5 b Let r = 35 - 32. Which is the nearest to -2? (a) 0 (b) r (c) 0.4 a Let i be 6/21 + 64/(-126). Let o = -0.014 - -5.014. Let m = 132 - 657/5. Which is the nearest to 2/5? (a) i (b) o (c) m c Let v = -4/27 + 82/189. Which is the nearest to -2? (a) 5 (b) -5 (c) v c Let y = 73.2 - 73. Which is the nearest to -2? (a) 0.5 (b) -4 (c) y b Let l be -1 - (-1)/(-4) - (-1 - 0). Let u = -0.2 + -0.3. What is the closest to 2/7 in l, -3/2, u? l Let k = 20.5 - 21. Let z = 5.4 + -5. What is the closest to z in -2/5, 0, k? 0 Let u = 6 + 13. Let q = 14 - u. Which is the nearest to -0.1? (a) 0.4 (b) 5 (c) q a Let q be (-1 + 1)/((-4)/2). Let m be (-3)/(-18)*(0 + 3/4). Which is the closest to -1/2? (a) m (b) 1 (c) q c Let f = -82 - -736/9. Let l be -2 + 1*-2*1. What is the closest to f in -2, l, 0.5? 0.5 Let x = 72 + -69. Let d = 5.4 - 5. Which is the nearest to 0? (a) d (b) 1/10 (c) x b Let q = -6.5 + 3.5. What is the nearest to -1 in 14, 0.2, q? 0.2 Let w = -10 - -9.6. Let n = 3694/13 + -284. Which is the closest to 0? (a) -0.2 (b) n (c) w b Let c be 100/45 + (-1 - 1). What is the closest to 1/4 in c, 2, 2/13? c Let f = 0.6 + -0.1. Let r = -2.067 - -0.067. Let q = 0.1 - 0.1. What is the closest to -0.1 in f, q, r? q Let u = -26.5 - -26. Which is the nearest to u? (a) -0.5 (b) 5 (c) 1 a Let l = 0.01 - 4.01. Let z = -0.13 - 0.87. Which is the closest to z? (a) -1 (b) -2/9 (c) l a Let z = -2.4 - -1.4. What is the closest to 1/4 in 3, 1/9, z? 1/9 Let o(v) = 2*v + 7. Let u be o(-5). Suppose 3*p + 15 = 0, 4*h + 2*p + 10 = -0*h. Which is the closest to 1/4? (a) 0.2 (b) u (c) h a Let q(x) = 3*x - 1. Let p be q(1). Which is the nearest to -2/5? (a) p (b) -2 (c) 0.2 c Let t be 1/(-3) - 3/(-6). Let g = 1.12 + -2.12. Which is the nearest to 1/4? (a) 1 (b) t (c) g b Let m = -2.4 + 3.4. Let s be 1 - (-16)/(-12)*3. What is the closest to m in 4, s, 0.5? 0.5 Suppose 3*u = 2 + 1. Let t = 20.2 + -20. Which is the closest to u? (a) 1/2 (b) 0.1 (c) t a Let o = -1.973 - 0.027. Which is the nearest to -6? (a) -4 (b) 0.2 (c) o a Suppose -18 = -3*q - 6, 0 = 2*d + q - 24. What is the closest to 1 in d, -4, 4/7? 4/7 Let t(n) = n - 14. Let u be t(13). Let r be (0 - -1) + (1 - 1). Let h = 14 + -13.9. What is the nearest to u in 0.3, r, h? h Suppose 3*h + 3 = 4*r + 2, 3 = 3*r. Let s = -5.02 + 0.02. Let g = s + 1. Which is the closest to -1? (a) g (b) -2/11 (c) h b Let q = 0.8 - 1.1. Let z = -23 + 22. What is the closest to z in q, 3/4, 0? q Let w = -0.46 + 0.26. Which is the closest to -0.04? (a) 2/5 (b) w (c) -4 b Let g = 68 + -73.9. Let v = -6 - g. Let u = 17 - 35/2. What is the closest to u in v, -4, 1? v Suppose 0 = 3*f + x - 77, -4*f = -0*f - 4*x - 76. Suppose 5*w - 3*i = 24, -w = 2*w + 3*i - f. Suppose -4*l + w + 14 = 0. What is the closest to 1 in -5, l, 0? 0 Let y(v) = 8*v - 53. Let a be y(7). What is the nearest to -0.2 in a, -0.1, -3? -0.1 Let w(i) = -2*i**2 + 3*i - 3. Let y(m) = m**2 + m + 1. Let d(u) = -w(u) - y(u). Let o be d(3). Let s = 0.4 - 0.2. What is the closest to 1 in o, 2, s? s Let j = 8.6 + -12. Let i = -2.4 - j. What is the closest to i in 0.5, -1, -4? 0.5 Let k(s) = -s**2 + 2*s + 6. Let h be k(-2). What is the nearest to h in 0, -0.4, -0.5? -0.5 Let t(r) = -r**3 - r**2 - r + 1. Let h(p) = p**3. Let z(j) = 2*h(j) + t(j). Let a be z(0). Let w = 2.5 - 2. What is the closest to a in 4, -3, w? w Let w = 2.51 + 0.49. Let u = -2 - -4. What is the closest to -2/3 in 0, w, u? 0 Let p = -0.03 - -0.09. Let w = -0.06 + p. Which is the nearest to -2/5? (a) w (b) -3 (c) 2/19 a Let w = 10 + -5. Let q be (2 - -1)*(-9)/27. What is the nearest to q in w, 1/5, -0.5? -0.5 Suppose 3*k + k - m = 48, -k + 31 = -5*m. Let l be k/(-4) - (10 + -13). Let n = -0.2 + -0.8. Which is the nearest to n? (a) l (b) 3/2 (c) 1/2 a Let u = 9 + -10. Which is the closest to u? (a) -2 (b) -0.5 (c) -5 b Let s = 2 + -2. Let f = s + -0.3. Let o(n) = n - 10. Let d be o(7). Which is the closest to 0? (a) f (b) -2/15 (c) d b Suppose -3*f = -5*f - 56. Let u = f - -46. Let w be ((-7)/(-42))/(2/u). What is the closest to -1 in -2/5, 2, w? -2/5 Suppose 3*l + 2*s = 2 + 8, 3*l - 5*s = 17. Suppose 2*o + 30 = 2*b, 5*b + 5*o + 0 - 25 = 0. Let p be (l/b)/(12/(-15)). What is the nearest to p in 5, -0.5, 3? -0.5 Let s = 0.176 + 0.124. Which is the nearest to 0.2? (a) s (b) -0.5 (c) -1/36 a Let z = 2 + 1. Let s be (3/9*z)/(-1). Let o = -10 - -52/5. Which is the nearest to s? (a) 1 (b) o (c) 4 b Let i be ((-2 - -2) + -2)*-1. Which is the closest to -1? (a) i (b) 1 (c) -0.5 c Let u = -13.3 + 8.3. Which is the closest to 1? (a) 1/5 (b) u (c) 0.5 c Let z = -0.46 + -5.54. What is the closest to z in -1, 0.4, -2/9? -1 Let q(h) = 2*h + 4. Let l be q(-2). Suppose 1 = d - 5*g, -d - 4*g - 8 + 0 = l. Which is the closest to 3? (a) 2/5 (b) d (c) 5 c Let l = 1754/7 + -251. Which is the closest to -0.1? (a) -9 (b) 3 (c) l c Let q = -1.1 + 1. Let r = 24.7 - 24.2. What is the nearest to q in r, 3, -2? r Let k = 2.04 - 0.04. Let l = 0.95 - 0.54. Let m = -0.01 + l. What is the closest to -2 in k, -2/5, m? -2/5 Let p be 3/12 - (2 + (-3)/2). What is the closest to 1 in -1, -1/9, p? -1/9 Let v = -19 - -19.4. What is the nearest to 1 in 2/9, 2/3, v? 2/3 Let d be (5/20)/((-2)/(-4)). Let n = 6 - 4. Let y = 13/30 - 1/10. What is the nearest to d in y, 2/15, n? y Suppose 5*t = 5*g + 10, -2 + 12 = -5*t - 5*g. Let p = -0.6 + 0.4. Which is the nearest to -3? (a) t (b) -3 (c) p b Suppose -2 = -g - 0. Suppose -g*d - 4 = 2*t - 0, 25 = -5*t. Which is the nearest to -1? (a) 2/7 (b) 0.5 (c) d a Let l = 6.1 - 6. Which is the closest to -1/2? (a) 1 (b) -1 (c) l b Suppose 0 = -2*h + 3*h - 2. Which is the closest to h? (a) 1/4 (b) 2 (c) 0.4 b Let j = -0.34 + 32.34. Let o = j - 27.7. Let t = -4 + o. Which is the closest to -1/3? (a) 0 (b) t (c) -0.2 c Let q = -25/62 - 3/31. Which is the closest to -2? (a) -6 (b) -0.1 (c) q c Let l be -1*(40/(-18) + 2). Which is the clos
{ "pile_set_name": "DM Mathematics" }
ut replacement from onnoqp. What is prob of sequence npon? 1/90 Three letters picked without replacement from llllllhhlhll. Give prob of sequence lll. 21/55 Four letters picked without replacement from kkkkkknnknkkkgkk. What is prob of sequence gnnk? 3/1820 Four letters picked without replacement from iglgigpppiigggig. What is prob of sequence plgp? 1/1040 Calculate prob of sequence dgg when three letters picked without replacement from dddddggddgddddgddd. 7/204 What is prob of sequence orrm when four letters picked without replacement from omromrmom? 1/126 What is prob of sequence xx when two letters picked without replacement from uxuxxquuxqxxq? 5/26 Three letters picked without replacement from cwyxydxbw. What is prob of sequence xdw? 1/126 Two letters picked without replacement from pibbbllbrlbbr. Give prob of sequence rb. 1/13 Two letters picked without replacement from wlwwwqwlqqqlq. What is prob of sequence qw? 25/156 Calculate prob of sequence hs when two letters picked without replacement from {h: 1, j: 2, a: 1, s: 1, z: 1, w: 1}. 1/42 Calculate prob of sequence nnsn when four letters picked without replacement from nnnnannsnnno. 7/165 Two letters picked without replacement from {t: 2, j: 1, r: 1, k: 4, i: 1}. Give prob of sequence rj. 1/72 What is prob of sequence peh when three letters picked without replacement from ephh? 1/12 What is prob of sequence vvvz when four letters picked without replacement from zzzpvvvv? 3/70 Two letters picked without replacement from {c: 2, n: 1, t: 1, z: 1, u: 1, p: 1}. What is prob of sequence cc? 1/21 Calculate prob of sequence rof when three letters picked without replacement from {f: 2, g: 1, r: 5, l: 1, o: 1}. 1/72 Calculate prob of sequence pjpe when four letters picked without replacement from {p: 2, q: 5, k: 2, y: 1, e: 4, j: 1}. 1/4095 What is prob of sequence gggg when four letters picked without replacement from ggggg? 1 What is prob of sequence tth when three letters picked without replacement from zhzhzzhzztthhhhthz? 1/102 Four letters picked without replacement from {h: 2, o: 5, l: 4, y: 4}. What is prob of sequence ooyo? 2/273 Two letters picked without replacement from {q: 2, e: 2, s: 1, v: 1, n: 2, a: 4}. What is prob of sequence qa? 2/33 Four letters picked without replacement from xddxddxddd. Give prob of sequence dxxd. 1/20 Four letters picked without replacement from {c: 3, s: 8, v: 2, g: 2, i: 5}. Give prob of sequence gsgs. 14/14535 Calculate prob of sequence ix when two letters picked without replacement from {d: 1, p: 6, i: 2, x: 4, e: 3}. 1/30 Calculate prob of sequence gq when two letters picked without replacement from {i: 1, r: 1, g: 9, q: 1}. 3/44 Calculate prob of sequence wqw when three letters picked without replacement from {q: 4, d: 2, w: 2, p: 2}. 1/90 What is prob of sequence zz when two letters picked without replacement from zvvzzavzvvavfauva? 3/68 Calculate prob of sequence hp when two letters picked without replacement from {w: 4, h: 5, p: 2}. 1/11 Two letters picked without replacement from {b: 1, q: 4, d: 3}. Give prob of sequence bq. 1/14 Two letters picked without replacement from bqbmvzmmqm. What is prob of sequence vq? 1/45 Calculate prob of sequence abaa when four letters picked without replacement from ababaabbbabbb. 4/143 Three letters picked without replacement from {b: 4, c: 10}. Give prob of sequence bbb. 1/91 Calculate prob of sequence rbar when four letters picked without replacement from abrrbbabarrbrrbrbr. 49/3060 Three letters picked without replacement from xzs. Give prob of sequence xzs. 1/6 What is prob of sequence hhhh when four letters picked without replacement from hhhhhhhhhh? 1 What is prob of sequence yxy when three letters picked without replacement from {t: 2, x: 2, s: 7, a: 2, y: 2, l: 1}? 1/840 What is prob of sequence hww when three letters picked without replacement from {a: 1, h: 3, d: 4, w: 3}? 1/55 Four letters picked without replacement from yixviiiiixivyxviv. What is prob of sequence yvyi? 2/1785 Calculate prob of sequence tqsq when four letters picked without replacement from {t: 1, q: 9, s: 1}. 1/110 Three letters picked without replacement from xvavaveatxvevxvxvx. What is prob of sequence xav? 35/1632 Three letters picked without replacement from {t: 1, l: 1, a: 1, u: 1, x: 1}. Give prob of sequence alt. 1/60 Two letters picked without replacement from {g: 3, t: 4}. What is prob of sequence gg? 1/7 Three letters picked without replacement from {r: 5, v: 2, f: 3}. Give prob of sequence rrv. 1/18 Two letters picked without replacement from {l: 1, z: 3, e: 1, x: 1, a: 1}. Give prob of sequence az. 1/14 Calculate prob of sequence ei when two letters picked without replacement from {i: 1, t: 1, e: 1}. 1/6 Calculate prob of sequence zgv when three letters picked without replacement from zolglzlvlzsszlzz. 1/560 Four letters picked without replacement from qjqqqqqqqqjqjjqqqqq. What is prob of sequence qjjq? 35/1292 Calculate prob of sequence ylr when three letters picked without replacement from {y: 1, q: 4, r: 6, j: 2, x: 1, l: 4}. 1/204 What is prob of sequence vle when three letters picked without replacement from gqeqegeevfqfqgeegfl? 1/969 What is prob of sequence uoo when three letters picked without replacement from oooooooujouujouo? 3/28 What is prob of sequence vv when two letters picked without replacement from mvmmvvmvvmmm? 5/33 Two letters picked without replacement from {o: 4, w: 2, t: 1, j: 1, u: 2}. Give prob of sequence wo. 4/45 Two letters picked without replacement from snnnnnsnsnnnnnssuns. What is prob of sequence ss? 5/57 Four letters picked without replacement from zjhjvhzv. Give prob of sequence zhzj. 1/210 What is prob of sequence tt when two letters picked without replacement from tttttnlttttln? 6/13 Calculate prob of sequence up when two letters picked without replacement from fpu. 1/6 Two letters picked without replacement from {g: 5, p: 2, a: 8}. What is prob of sequence pg? 1/21 What is prob of sequence ya when two letters picked without replacement from {a: 4, d: 3, p: 3, g: 6, y: 1, v: 1}? 2/153 Three letters picked without replacement from ammaaaaaamaaaaay. What is prob of sequence aya? 11/280 Two letters picked without replacement from {a: 1, p: 7, e: 2, y: 2, s: 1, x: 2}. Give prob of sequence yy. 1/105 Two letters picked without replacement from sssssnniissnnsnnsnss. Give prob of sequence sn. 77/380 Calculate prob of sequence ppp when three letters picked without replacement from ppp. 1 What is prob of sequence fpp when three letters picked without replacement from {p: 14, f: 4}? 91/612 What is prob of sequence ze when two letters picked without replacement from {x: 3, s: 2, e: 5, j: 1, l: 8, z: 1}? 1/76 What is prob of sequence cwc when three letters picked without replacement from ccccccccwcxccwccc? 91/1020 Three letters picked without replacement from {h: 3, j: 12}. Give prob of sequence jhh. 12/455 What is prob of sequence gg when two letters picked without replacement from {q: 1, g: 1, m: 1, e: 1, n: 3}? 0 What is prob of sequence fb when two letters picked without replacement from {z: 1, m: 3, r: 2, w: 1, f: 1, b: 3}? 3/110 Three letters picked without replacement from {s: 4}. Give prob of sequence sss. 1 What is prob of sequence xjx when three letters picked without replacement from jxjxx? 1/5 Two letters picked without replacement from {p: 17, w: 3}. Give prob of sequence pw. 51/380 Three letters picked without replacement from {m: 2, n: 1, c: 2, b: 4, y: 1, r: 2}. What is prob of sequence rym? 1/330 Four letters picked without replacement from kwmrknwmrrmmnq. Give prob of sequence qwkw. 1/6006 Two letters picked without replacement from {b: 1, p: 1, i: 2, f: 1, j: 1, x: 2}. What is prob of sequence jp? 1/56 What is prob of sequence ppmp when four letters picked without replacement from {w: 6, m: 3, p: 4, v: 4}? 3/2380 Three letters picked without replacement from {h: 1, o: 1, g: 2, m: 3, u: 7, k: 4}. What is prob of sequence hgk? 1/612 Calculate prob of sequence ff when two letters picked without replacement from {f: 2, b: 6, d: 11}. 1/171 Three letters picked without replacement from {p: 3, w: 7, q: 4, a: 2, u: 1, v: 1}. Give prob of sequence uap. 1/816 Calculate prob of sequence ao
{ "pile_set_name": "DM Mathematics" }
49680 = -30*r. Is r a multiple of 30? False Suppose 1009*k - 5744 = 1005*k. Is 9 a factor of k? False Let f be (-2)/(10/25 - 0). Let i(m) = 2*m**2 + 5*m + 17. Let j be i(f). Suppose j - 7 = r. Is 7 a factor of r? True Suppose -3*l = -3*b + 843, -1448 = -4*b - 2*l - 330. Is 10 a factor of b? True Suppose 4*k + k - 1534 = -2*j, -5*k - 4*j + 1538 = 0. Is k a multiple of 32? False Suppose -f - 4*j = 12, 4*f - j = 6*f + 38. Is 4 a factor of (90/(-25))/(1 + 22/f)? True Let f(o) = -4*o**3 - 16*o**2 - o - 9. Let y(s) = s**3 + s**2 + s - 1. Let g(c) = -f(c) - 3*y(c). Does 10 divide g(-13)? False Let d(l) = -l**2 - l + 5. Let p be d(0). Suppose -u + 3*y = -3*u - 1, 5*u - 35 = p*y. Suppose o = -4*n + 28, 4*o + 5 + 3 = u*n. Is 2 a factor of n? True Let n = -3821 + 5837. Is 28 a factor of n? True Suppose -11*x + 2354 = -0*x. Is 107 a factor of x? True Suppose -17*k + 1368 = 2*k. Is k a multiple of 36? True Let a = -26 + 132. Is a a multiple of 6? False Suppose -22*v = -19*v + 5*z - 97, 4*z = -v + 44. Does 8 divide v? True Suppose 35*b - 40*b = -1140. Is b a multiple of 21? False Is 13 a factor of (-4089)/(-45) + (22/15)/11? True Let u(f) = -f**3 + 6*f**2 - 3*f - 5. Let o be u(5). Suppose -r + o*r = 36. Let a(c) = c**3 - 9*c**2 - c + 11. Does 2 divide a(r)? True Let m(a) = -2*a**2 - 3*a + 10 - 8*a + 4*a + 6*a**2. Let u be m(-7). Suppose 8*q - u = 3*q. Is q a multiple of 18? False Suppose 51*b + 5*k = 46*b + 650, 2*k - 526 = -4*b. Does 19 divide b? True Let d(z) = z**3 + 16*z**2 - z - 8. Let h be d(-16). Let s(i) = i + 6. Is 14 a factor of s(h)? True Suppose -5*j = 3*k - 26 - 99, -j + 12 = -2*k. Suppose -j = 10*c - 12*c. Suppose 12*g = c*g + 32. Does 6 divide g? False Let y(w) = -w + 131. Does 8 divide y(24)? False Suppose -18*n + 20510 + 16264 = 0. Is n a multiple of 33? False Suppose -25*c - 1560 = -26*c. Is c a multiple of 104? True Is 68 a factor of 5 - 0 - (-131)/1? True Let b = 45 - 21. Let c = b + 88. Is c a multiple of 28? True Let m(c) = -c**3 + 6*c**2 - 2*c. Let s be m(3). Let h be (-28)/7 + -4*s. Let x = -31 - h. Does 19 divide x? True Let r(u) = -u + 1. Let b = 19 - 3. Suppose -2*v = h + 15, 0 = -3*h + 2*v + 3 - b. Does 8 divide r(h)? True Is 36/6*(-105)/(-10) even? False Suppose 2*w = 4*b + 2, -b + 3 = 1. Suppose 700 = 3*i - x, 3*i + w*x + 915 = 7*i. Is i a multiple of 13? False Suppose -2*n = 3*n - 765. Is 17 a factor of n? True Suppose 2*x - 132 = 108. Is 40 a factor of x? True Let b be (10 + -5 + -16)/(-1). Let w(r) = 3*r**2 + 16*r - 17. Let z(d) = -2*d**2 - 8*d + 9. Let f(u) = -3*w(u) - 5*z(u). Is f(b) a multiple of 13? True Suppose 19*n - 35 - 22 = 0. Suppose 2*u = -2*u - 4. Is 16 a factor of (n - (u + 1)) + 37? False Let v(h) = h**2 + h + 2. Let o(n) = -13*n**3 + 2*n + 1. Let l be o(-1). Let c be (-46)/8 - 3/l. Is 16 a factor of v(c)? True Let y(c) = 2*c**2 - 5*c + 4. Suppose 3*t - 5*i = -4*i + 7, 2*i = 3*t - 8. Let b be y(t). Is (37/2)/(1/b) a multiple of 11? False Let x(y) = -y**3 + 4*y**2 + 3*y + 4. Let h be x(5). Let g = h + 16. Is g a multiple of 3? False Let o(c) = c**2 - 21*c - 424. Is 2 a factor of o(39)? True Let f(c) = -c**3 + 2*c**3 + 4*c**3 - c - 6*c**3 + 3 + 6*c**2. Is 8 a factor of f(5)? False Let a be 4*(5 + -1)*-7. Let o = 157 + a. Suppose -k + 5 = -2*b + 10, -4*k = 5*b - o. Does 3 divide b? False Let v(z) = -z**3 + 6*z**2 - 3*z - 3. Let b be v(5). Suppose -b*d = -6*d - 28. Does 4 divide d? True Let m be -2 - 4/(-6) - 28/(-3). Suppose -m*j = -5*j - 60. Does 5 divide j? True Is 28 a factor of -144*-3*((-156)/(-54) + -2)? False Does 24 divide 6897/165 + 2/10? False Let v(z) = z. Let a(b) = 2*b**2 + 20*b + 27. Let c(t) = a(t) - 4*v(t). Is 16 a factor of c(-12)? False Let s(g) be the second derivative of 11*g**3/3 + g**2 + 2*g. Let f be s(-2). Does 3 divide f/8*(-24)/9? False Suppose -3*z + 10 - 4 = 0. Suppose 0 = -4*p + 5*i - 1 - 1, 10 = z*p + 3*i. Is (5 + 1)*(5 - p) a multiple of 5? False Suppose -r - 8*t + 4143 = -9*t, -2 = -2*t. Does 37 divide r? True Suppose 4*f = 3*f + 1. Let d be -1*(f - -8)*-3. Let o = 41 - d. Does 5 divide o? False Suppose 0 = -3*o + 2*o + 24. Suppose -2*w = 2*b - 7*b + o, -3*w = -3*b + 18. Is 6 + b + (-6)/2 a multiple of 2? False Let q = 74 + 97. Suppose -2*z + q = 3*o, -3*z - o = -364 + 97. Is z a multiple of 23? False Let y = -7 - -11. Suppose -y*l = -8*l + 40. Does 10 divide l? True Let d(m) = -240*m + 5. Is 15 a factor of d(-3)? False Suppose 3*m + c - 2 = 0, -m = -6*m - 5*c + 10. Suppose 5*w - 5*x + 3 + 2 = 0, -5*x + 25 = m. Suppose -5 + 3 = 2*h, -5*r + w*h = -39. Is r a multiple of 3? False Let z(m) = m**3 - 10*m**2 + 4*m - 1. Suppose 4*p - 3*p = 9. Suppose p = s - 1. Is z(s) a multiple of 13? True Let r(t) = -t**3 - 6*t**2 - 4*t + 10. Let u be r(-5). Suppose -4*l - u*a = -256, 4*a + 248 = 5*l - 72. Is l a multiple of 32? True Suppose 5*u + 2*j = 5*j + 5635, 0 = -4*u - 5*j + 4508. Does 19 divide u? False Let u = 67 - -32. Let z be (21/3)/(1/(-9)). Let s = u + z. Is s a multiple of 9? True Let g(z) = -10*z - 199. Let w(t) = t. Let v(k) = -g(k) - 4*w(k). Is 11 a factor of v(0)? False Suppose -67 = -4*l + 133. Suppose -l - 100 = 5*u. Let i = -7 - u. Is 5 a factor of i? False Is 29 a factor of 6/(-2) + (474 - -2)/4? True Let a = -36 + 38. Suppose -v - f = -74, 4*f - 115 = -a*v + 33. Does 16 divide v? False Suppose -2*n = -n. Suppose -2*i - i + 96 = n. Is i a multiple of 7? False Suppose x - 764 = -z, z - 5*x - 704 = 30. Does 23 divide z? True Let k = -20 + 16. Let p(u) = -2*u**3 + 5*u**2 + 11*u + 3. Is 43 a factor of p(k)? False Let x be -36*(0 - 2/4). Let y(h) = h - h - h + x. Is y(12) even? True Suppose -4*q + 3654 = 1306. Is 57 a factor of q? False Let q = -87 + 159. Is 35 a factor of q + -1 - (-1)/(1 + -2)? True Let x(o) = 10*o - 18. Let f(u) = -1. Let b(d) = -6*f(d) + x(d). Let z be b(16). Suppose -7*a + z = -5*a. Is a a multiple of 17? False Suppose -3*m - 33 = 3*r, r + 3*r = -16. Let w be 5 + m + 0 + 0. Let f(y) = 5*y**2 - 2*y - 2. Is 11 a factor of f(w)? True Suppose -2*t - l = -1324, 7*l - 11*l + 2656 = 4*t. Does 44 divide t? True Let h(v) = -120*v + 407. Is 11 a factor of h(-28)? False Does 49 divide 99 + (-1)/(5 + (-16)/4)? True Let i(b) = 73*b - 146. Is 18 a factor of i(12)? False Suppose 0 = 2*i - 4, 3*l - 6*l - 2*i = -64. Suppose l = -4*p, 2*v + 15 = 3*p - 8*p. Is v even? False Let m(d) = d**3 - 2*d**2 + d - 1. Let u be m(-2). Let p = -12 - u. Suppose 0*k = p*k - 112. Is 16 a factor of k? True Let c be 56/(-28) - 4/(-2). Does 9 divide (c + 8 + -2)*3? True Let c(t) = -58*t - 228. Does 6 divide c(-6)? True Suppose 4*z = 11*i - 16*i + 164, -91 = -3*i + 5*z. Is i a multiple of 3? False Suppose 0 = 2*q + 2*q + 5*g + 127, -44 = 2*q - 4*g. Let z be 2/(-3) + q/21. Let w(x) = 8*x**2 + x - 2. Does 10 divide w(z)? False Let r = -51 + 270. Suppose 3*a = -27 + r. Is a a multiple of 34? False Let p(k) = 4*k**2 + 2*k + 10. Suppose -14 - 4 = 6*y. Is p(y) a multiple of 8? True Let o be (-4128)/(-44) - 2/(-11). Suppose 2*f - 3*s - o = 0, 9*f - 188 = 5*f + 4*s. Does 6 divide f? False Suppose 8*x - 24 = 4*x. Let f(y) = y**2 - 6*y - 15. Let c be f(x). Let h = 56 + c. Is 23 a factor of h? False Let q(w) = -21*w + 10. Let o(k) = -43*k + 19. Let z(t) = -4*o(t) + 7*q(t). Let y be z(2). Suppose -2*u = 2*r - 6*u - y, -2*r + 29 = -u. Is r a multiple of 3? True Suppose -4*g - 870 = 2*g. Is 12 a factor of 1*g/(-10)*2? False Let a = 2031 - -3006. Does 27 divide a? False Suppose -2*f = -6 + 2. Suppose -24 = -f*w + 5*y, 0*w - 3*w + 3*y = -18. Suppose 2*p - 22 = -w*a, 4*a - 28 = 3*p - 6*p. Does 8 divide p? True Let f = 7 - 5. Let k(v) = 2*v - 1 + 5*v + 7*v**f - 5*v. Is k(-2) a multiple of 7? False Suppose -3 = k - 50. Let l = k + -11. Is 4 a factor of l? True Let d = 4350 + -2742. Does 24 divide d? True Suppose 1 + 17 = -6*y. Let a be -2 + 3 - (0 - 116). Is 32 a factor of a - -8*y/(-6)? False Let s(j) be the second derivative of j**4/12 + 2*j**3/3 - 9*j**2/2 - 6*j. Let y be s(-7). Let d = 8 + y. Is 10 a factor of d? True Let o = 18 - -53. Let g = o - 56. Is 7 a factor of g? False Let i = 320 + 196. Suppose 6*u - 2*u - i = 0. Does 43 divide u? True Suppose -10*u + 13*u - 294 = 0. Is 14 a factor of u? True Let j = 9 - 5. Suppose n - 3*d = 0, -9 = -2*n + d + 6. Does 39 divide (3/n)/(j/744)? False Let z(q) = -20 - 6*q
{ "pile_set_name": "DM Mathematics" }
o be f(t). Let p(u) = -u**3 + 4*u**2 + u - 2. Determine p(o). 2 Let x(q) be the second derivative of -q**6/360 - q**5/120 - q**4/24 - 25*q**3/2 + 2*q + 19. Let l(c) be the second derivative of x(c). What is l(-5)? -21 Let q(y) = 15*y + 28. Let d(z) = -5*z - 9. Let k(c) = -7*d(c) - 2*q(c). Suppose 5*r = -8*t - 42, -4*r + 2*t - 5*t - 20 = 0. Calculate k(r). -3 Suppose -3*a + 3*w - 9 + 15 = 0, 6*a - 14 = 5*w. Let g(t) = 4*t - 19. Calculate g(a). -3 Let x(c) = -2*c**2 - 3*c + 6. Let j = -27167 + 27164. What is x(j)? -3 Let z(n) = -7*n - 11. Let t(o) = -7*o - 9. Let j(b) = -4*t(b) + 3*z(b). Determine j(2). 17 Let i(g) = -g**3 - 6*g**2 - 6*g + 3. Suppose -154 = 7*t - 14*t. Suppose -t*f - 2 = -23*f. Let w be f*2*5*3/(-12). What is i(w)? 8 Let p be 3 - 1 - (7 + 1). Let w(b) be the first derivative of -b**3/3 - 3*b**2/2 + 7*b - 1556. Determine w(p). -11 Let t(u) = -14*u**3 - u**2 + 1. Let p(o) = -43*o**3 - 6*o**2 - 6*o + 1. Let j(a) = p(a) - 3*t(a). What is j(-2)? 6 Let y(j) = -j**3 + j - 2. Suppose 0 = 32*p + 68 - 4. Give y(p). 4 Let m(f) = -44*f - 100. Let w(a) = -18*a - 49. Let y(o) = 2*m(o) - 5*w(o). Give y(-22). 1 Let u(g) = -5*g + 7. Suppose 0 = -5*y - 2*z - 11 + 35, z - 1 = 3*y. Calculate u(y). -3 Let n(k) be the third derivative of -k**7/840 - k**6/24 - k**4/12 + 61*k**3/6 + 126*k**2. Let o(m) be the first derivative of n(m). Determine o(-15). -2 Let v(m) = 7*m - 23. Let x(i) = -i. Let r(b) = -v(b) - 6*x(b). Suppose -70*o = 32*o. Calculate r(o). 23 Let g(n) = 2*n - 1. Suppose 494*y = 490*y + 32. Suppose -2*v + y = 4. Calculate g(v). 3 Let x(y) be the second derivative of y**7/840 + y**6/60 + y**5/120 - 7*y**4/24 + 74*y**3/3 + 19*y - 1. Let w(l) be the second derivative of x(l). Give w(-6). -13 Let r(d) = 11*d**3 - 3*d**2 - 2*d. Let a be -3*(-4)/8*4/(-6). Give r(a). -12 Let x(z) = -z**3 + 10*z**2 - 9*z - 8. Suppose 0 = -56*t + 65*t - 9. Let i be ((-9)/27)/(t/(-27)). Determine x(i). -8 Let a(n) be the second derivative of -n**7/2520 - n**6/80 - 11*n**5/120 - 11*n**4/4 + 5*n. Let s(x) be the third derivative of a(x). Calculate s(-8). -3 Let h = 6 + -4. Let u(w) be the first derivative of 2*w + 1/2*w**2 - 10. Determine u(h). 4 Let g = -22 - -24. Let r(h) = 0*h**2 + 99*h**3 - 100*h**3 + 10 - h**g. Suppose 0*m = -8*m. Determine r(m). 10 Let d(q) = -48*q + 19 + 11*q**2 + 0*q**3 + 101*q - 64*q + q**3. What is d(-12)? 7 Let w be 34/(-68)*88/4 - -10. Let r(c) = c**2 - 5*c. Let b(k) = -k**2 + 5*k - 1. Let p(q) = -4*b(q) - 5*r(q). What is p(w)? -2 Let t(m) = -15*m**2 + m. Let k(v) = -4*v + 2. Let f be k(-1). Let d(n) = 0*n + 5*n + 5 - 6*n + 0*n. Let g be d(f). Calculate t(g). -16 Let y(h) = -h**3 - 2*h**2 + 2*h - 9. Suppose 2*r - 4 = 0, 94*r = -4*u + 93*r - 14. Give y(u). 15 Suppose 6*o = 4*o + 34. Let y(i) = -i**3 + 18*i**2 - 21*i + 69. Let r be y(o). Let n(g) = -8*g. Determine n(r). -8 Let v(f) be the second derivative of -f**4/12 + f**3 - 17*f**2/2 + 1437*f. What is v(6)? -17 Let s(l) = 66 - 112 - 4*l**2 + 21 - 3*l + 24 - 2*l**3. Suppose -n = -3*n - 4. Determine s(n). 5 Let h be (2/(-28))/((-53)/12614). Let n(r) = -r**2 + 20*r - 39. Give n(h). 12 Let j be (12 + -3)*(4/(-3))/(-2). Let y(w) = -7*w**3 + 2*w**2 + 2*w - 24. Let n(d) = -8*d**3 + 3*d**2 + 2*d - 27. Let r(x) = -8*n(x) + 9*y(x). What is r(j)? 12 Suppose 0 = 2*k + 2*p - 5*p - 7, 0 = -4*k - 4*p + 4. Suppose 1 - 19 = k*j. Let o(f) = -f**2 - 9*f + 11. Calculate o(j). 11 Let u(o) = -4*o + 10. Suppose 295*p + 53 = 2708. Determine u(p). -26 Let s(n) = 2*n**2 - 4*n - 3. Let q be s(3). Let r(d) = d**2 - q*d**2 - d - 11 - d**2 + 4*d**2. Let h be (-2)/4 - (5/2 + -3). What is r(h)? -11 Let k(n) = 7907*n - 7907*n - n**2 - 60. Give k(0). -60 Suppose 25*k - 22*k = -6. Let b(t) = t - 21*t**2 + t**3 - 9*t**3 + 22*t**2 + 10*t**3. Determine b(k). -14 Let k = 2439 + -2434. Let s(g) = 3*g**2 - 5*g + 2. Determine s(k). 52 Let f(x) = 40 + 5*x - 40. Let m(d) = 14*d - 207. Let p be m(15). Calculate f(p). 15 Let k(o) = 10*o**3 + 61*o**2 - 33*o + 58. Let p(n) = -2*n**3 - 12*n**2 + 6*n - 12. Let d(i) = 2*k(i) + 11*p(i). What is d(-5)? -16 Let q(o) = 14*o**2 - 6*o + 168. Let a(d) = 5*d**2 - 2*d + 58. Let u(j) = -17*a(j) + 6*q(j). Give u(-6). -2 Let h be (-24)/18*(189/12)/(-7). Suppose h*b + 11 = 29. Let m(s) = 2*s - 2. What is m(b)? 10 Let w(z) be the second derivative of z**5/20 - z**4/12 - z**3/2 - 25*z**2 + 5*z - 439. Determine w(0). -50 Let i be (3 - (75/18)/1)*-6. Let s(w) = w**3 - 7*w**2 - 10*w + 12. Give s(i). -58 Let o = 353 + -282. Let p(k) = 6*k**2 + k**3 + 0*k + o + k + 0*k**2 - 66 + k. Give p(-5). 20 Suppose 2*t - 5900 + 5872 = -3*j, -j = -t - 6. Let x(l) = 8*l**2 + 3. Let u(v) = -7*v**2 - 2. Let w(i) = -7*u(i) - 6*x(i). What is w(t)? 0 Let x(h) = -5*h + 27. Let l be x(5). Let q(b) be the third derivative of 0*b + 0 + 1/4*b**4 - l*b**2 - 1/6*b**3 - 1/60*b**5. Calculate q(6). -1 Let k(w) = w**2 - 4*w + 4. Suppose 9*a + 562 = 4*v + 4*a, -v = 5*a - 128. Let d = -134 + v. Determine k(d). 4 Let t(x) be the second derivative of x**4/6 - 23*x**3/6 - 19*x**2/2 + 4555*x. Determine t(15). 86 Let j(w) = -w**3 + 6*w**2 - 5*w + 3. Let u = 304 - 284. Let c be -11 + u - ((-2)/(-1) - -2). Give j(c). 3 Let b(k) = 39*k + 21 - 44*k + 4 + 4 + 6*k. Calculate b(0). 29 Let z(x) = -4 - 12*x**2 - 17*x**2 + 30*x**2 + x. Let m(n) = -n**2 + 6*n + 3. Let o be m(5). Let j = -8 + o. Calculate z(j). -4 Let j(b) = -4*b - 7. Suppose 3280*a + 230 = 3234*a. Calculate j(a). 13 Let l(m) = 2*m**2 - 7*m - 7. Suppose -4*c + 2*p = -2, 4*p = -7*c + 2*p - 24. Calculate l(c). 15 Let t = 206 - 187. Let b(h) = -t + 19 + 7*h**2 - 5*h**2 + h. What is b(-3)? 15 Let m(u) = u - 74. Suppose -2*d - h + 1 = 0, 993*d - h + 1 = 994*d. What is m(d)? -74 Let g be -24 - (-2 + -8 + -11). Let i(l) = 7*l - 12. Calculate i(g). -33 Suppose -137 = -17*i - 3*r, 6*r - 10*r = -3*i - 3. Let u(h) = -3*h**3 + 0*h**2 - 4*h + 4*h**3 - 6*h**2. Determine u(i). 21 Let z(n) = n**2 + 2*n + 3. Let o(k) = k**2 + k + 2. Let j(b) = -4*o(b) + 3*z(b). Suppose -4*x + 5*c + 10 = 23, -4*x = -c - 7. Determine j(x). -2 Let d(n) = -2*n**2 + 4*n - 5. Let h(r) = -r**3 + 9*r**2 - 14*r - 11. Let y be h(7). Let z(o) = -6*o**2 + 12*o - 15. Let w(l) = y*d(l) + 4*z(l). Calculate w(2). -5 Let w(q) = 199*q - 3 - 195*q - 6. Let a(g) = g. Let f(l) = -2*a(l) + w(l). Give f(7). 5 Let z(q) = -4*q**2 + 49*q - 5. Suppose -177*x + 1557 = 521 - 1088. Calculate z(x). 7 Suppose 5*z - 7 = -5*f + 3, -2*z + 1 = -f. Let j(s) = 64*s. Let g(c) = 21*c. Suppose 0 = w - 0 + 5. Let v(h) = w*j(h) + 16*g(h). Determine v(f). 16 Let g(r) be the first derivative of 21*r - 12 + 0*r**2 - 1/3*r**3. Determine g(0). 21 Let s(g) = -66*g**2 + g**3 + 59*g**2 - 6 + 1851*g - 1847*g. Suppose x - 24 = -x. Suppose -x = a - 3*a. Give s(a). -18 Let c(o) = 2*o + 4. Let m(h) = 1. Suppose -76 = -2*v + 4*g, 0 = -v - 0*v - 5*g + 45. Suppose v = 3*x + 5*x. Let q(l) = x*m(l) - c(l). Calculate q(-3). 7 Let t(d) = -d**2 + 9*d - 7. Let o be t(2). Let j be (1/(-4))/(7/(-308)). Let u(l) = -8 + 2*l - 3*l**3 - 7*l**3 + j*l**3 - 7*l**2. Give u(o). 6 Let h(m) = -m**3 + 8*m**2 - 4*m - 1. Let l be h(8). Let v = l + 37. Suppose -47 = -v*u - 11. Let t(x) = -x**3 + 10*x**2 - 9*x - 3. Calculate t(u). -3 Let k(l) = 2*l**3 + 46*l**2 + 3*l + 13. Let n(p) = p**3 + 21*p**2 + p + 6. Let m(q) = 6*k(q) - 13*n(q). Suppose 4*z + 10 = f - 6, 4*z - 4 = -4*f. Give m(f). 4 Suppose -14 = 3*i + 4. Let p(g) be the second derivative of 0 + 11*g + 1/12*g**4 + 3/2*g**2 + 5/6*g**3. What is p(i)? 9 Let j(h) = -4*h + 3*h + 0*h**3 + 3*h**3. Let m be (-1)/3 + (-1125)/(-135). Suppose t - 3*q - q + 13 = 0, m = -5*t + q. Calculate j(t). -2 Suppose -11 = -5*p + 14. Let x(u) = -7 + 0 - 7*u + 6 + 5*u. Let q(r) = -9*r - 7. Let y(k) = q(k) - 4*x(k). What is y(p)? -8 Let g(y) = -y**2 + 14*y - 11. Let p = 19093 - 19080. What is g(p)? 2 Suppose 0 = o - 1 - 2. Let q(f) = -f**3 + 3*f**2 + 5*f + 1. Let t(s) = s + 1. Let n(c) = o*t(c) - q(c). Let j = -850 - -853. Calculate n(j). -4 Suppose -124*k - 6018 = -141*k. Let o(n) = 11*n - 4*n - k + 176 + 4*n + 179. Determine o(4). 45 Let d(q) be the third derivative of 3*q**6/40 - q**5/30 + q**4/24 - q**3/6 + 2*q**2 - 136*q + 7. What is d(1)? 7 Let b(i) = i**2 - 32*i - 31. Let g be b(33). Let v(j) be the third derivative of 0*j - 4*j**g + 1/24*j**4 + 7/6*j**3 + 0.
{ "pile_set_name": "DM Mathematics" }
t is the product of 5983051 and -0.08? -478644.08 What is 5 times -78.634728? -393.17364 Work out 2211046 * -1.86. -4112545.56 3277 times 146 478442 What is the product of -15339.5 and 0.1614? -2475.7953 Calculate -41603*-1635. 68020905 -1.705 * 1.19699 -2.04086795 Work out -0.3 * -262.6854. 78.80562 What is the product of -0.26 and -0.644193? 0.16749018 -4 * -39385807 157543228 13357895*0.1 1335789.5 Multiply 1.15007 and -45. -51.75315 What is 81106.383 times -0.3? -24331.9149 Multiply -5 and -25702.905. 128514.525 572 * 792 453024 What is -0.4 times -131822? 52728.8 What is -200.42 times -0.605? 121.2541 409*816.5 333948.5 Multiply -0.4 and 0.2846795. -0.1138718 Work out 5.6 * -10.3959. -58.21704 Product of -0.6 and -3062821. 1837692.6 Product of 0.4 and 158.086485. 63.234594 Calculate -0.450232*162. -72.937584 What is the product of -278 and 0.8049? -223.7622 -31844 times 8750 -278635000 What is the product of 160 and 87510? 14001600 Calculate 0.4*-55.44946. -22.179784 20 times 6648.7 132974 Multiply 582.6 and -156896. -91407609.6 Work out -29685988 * -5. 148429940 Product of 0.15 and 903837. 135575.55 Multiply 15213 and -17.201. -261678.813 Multiply -0.3 and 3.32776. -0.998328 17.0965635*-0.4 -6.8386254 Product of -2554 and -1.574. 4019.996 Calculate -6.01133*316. -1899.58028 What is -220286 times 0.034? -7489.724 Calculate -161757*-0.14. 22645.98 What is -1923.98 times -522? 1004317.56 Multiply 0.8 and -527.3387. -421.87096 Calculate -388467.93*-0.03. 11654.0379 What is -272325 times -15? 4084875 10083.98003*0.3 3025.194009 Calculate -396.9362*-5. 1984.681 Multiply 0.2 and -1090501. -218100.2 -0.5 times -60973422 30486711 Work out -0.012 * -0.0359546. 0.0004314552 What is 0.4747006 times 0.4? 0.18988024 -23261.836 * -0.2 4652.3672 Work out -9030.33 * -1.1. 9933.363 What is 174100.56 times 0.4? 69640.224 Product of 129.045 and -406. -52392.27 Product of 19.28 and 1.10829. 21.3678312 Product of -0.3 and -1154737. 346421.1 Product of 5 and 41364.52. 206822.6 12147221 times 5 60736105 What is the product of -0.9671 and 9.36? -9.052056 0.3*2686802 806040.6 27.3 times 442554 12081724.2 23 times 937761 21568503 Work out -0.01036 * 2.335. -0.0241906 -1.7201201 * -2 3.4402402 0.01124417*-2 -0.02248834 -0.084 * 21425 -1799.7 Multiply -35 and -2305497. 80692395 Product of 6.49 and 15.214. 98.73886 -1.65*1478.416 -2439.3864 Multiply -0.2 and -1361245.6. 272249.12 -199 * -0.60869 121.12931 911176 * -5 -4555880 Work out -0.27604535 * 0.15. -0.0414068025 -0.6 * -3307422 1984453.2 -24287255*11 -267159805 -0.049 * 22.9329 -1.1237121 Calculate 3*-8055711. -24167133 Product of -36453 and -23.55. 858468.15 Multiply -1 and -591164.9. 591164.9 -0.653607757 * -0.5 0.3268038785 What is -44 times -191431? 8422964 What is -4.37 times 7993? -34929.41 Product of 0.3 and 8979.6956. 2693.90868 2 times 28197828 56395656 -7.5*-15797 118477.5 Calculate 84*-0.4156158. -34.9117272 Multiply 17 and -9016245. -153276165 Calculate -5072.85*-0.01. 50.7285 -2.55*673173 -1716591.15 -4 times -11.016813 44.067252 What is 47189 times 597? 28171833 1970200 times 8.8 17337760 -3.7*1964318 -7267976.6 8.288 times -0.1475 -1.22248 -8.21429 * -50 410.7145 What is 100980 times 6.6? 666468 Calculate -24272*-7.08. 171845.76 Calculate -270799*0.0003. -81.2397 -0.1 * -108571146 10857114.6 -5 * -5170936 25854680 0.9424187 * -7 -6.5969309 15718280 times -0.1 -1571828 1.0405 times 0.9304 0.9680812 Calculate -3390846*-1.2. 4069015.2 -35993*25.6 -921420.8 What is -0.382 times -4578? 1748.796 Work out 0 * 27061.33. 0 Work out -0.563 * -0.091621. 0.051582623 Product of -0.2 and 8798573.8. -1759714.76 -5.8223 times -0.6 3.49338 What is -0.3 times 7055652? -2116695.6 Product of 96.11407 and 0.3. 28.834221 Work out 7573 * 1.5353. 11626.8269 Work out -2.1 * 503725. -1057822.5 854002 times 6.4 5465612.8 Multiply -0.428732 and 1.2. -0.5144784 Work out 5730.393 * -0.3. -1719.1179 What is the product of -0.4 and -295293130? 118117252 Multiply 6 and -24953268. -149719608 -5 times -3252.049 16260.245 Product of -0.2306676 and -0.7. 0.16146732 Calculate 228*3.3965. 774.402 4742 * -799 -3788858 What is -1.2 times 1367103? -1640523.6 Calculate -1651*36306. -59941206 Work out -3 * -67.058678. 201.176034 Product of -37234968 and -3. 111704904 Product of -5 and -154.94996. 774.7498 What is -2.095 times -240.5? 503.8475 5.3 * 58115.55 308012.415 Multiply 72 and 2.75823. 198.59256 What is -0.897 times 1698? -1523.106 Multiply -77153.456 and 5. -385767.28 Work out 14.8 * 87253. 1291344.4 What is 0.07 times -0.797541? -0.05582787 Product of 135 and 3572. 482220 5 * 52177984 260889920 0.2*55106.028 11021.2056 What is 351915 times 1? 351915 -14.908 times -8827 131592.916 Calculate -25.9*0.0122606. -0.31754954 -1195829*-10 11958290 -7 * 78313 -548191 -49*-3995147 195762203 What is -0.157 times -0.054746? 0.008595122 0.467 times -192979 -90121.193 Work out 0.368 * 10.8291. 3.9851088 Product of 11624334 and 5. 58121670 What is the product of -11647 and -4114? 47915758 What is -2.3722 times 364? -863.4808 0.14587857 * -0.5 -0.072939285 -10.575 times -55.79 589.97925 Work out -5 * -22542460. 112712300 -279.56 * -1950 545142 Multiply -1.666 and -120.49. 200.73634 What is the product of 144127 and 16.9? 2435746.3 Calculate 6132*-12224. -74957568 What is 0.3 times 22383307? 6714992.1 -0.05*-143.13444 7.156722 2 * 0.54603 1.09206 Work out 0.345789 * 0.082. 0.028354698 -0.5*18391366 -9195683 What is the product of -23493.25 and 3? -70479.75 What is the product of 118.9 and -3481.65? -413968.185 Calculate -0.4*8557.8469. -3423.13876 Multiply -94117.743 and 0.1. -9411.7743 -28875.62*11 -317631.82 Multiply -625 and 2978. -1861250 -2 * 274584237 -549168474 Calculate -0.1*-0.027717823. 0.0027717823 What is 8179 times -2.347? -19196.113 What is the product of 1803 and 52? 93756 Calculate 442*-8.94637. -3954.29554 What is the product of -0.5 and 405067.4? -202533.7 85 * -3842492 -326611820 Work out 0.245699 * 0.26. 0.06388174 Multiply 3098298 and 4. 12393192 What is the product of -186.8993 and 3? -560.6979 Work out 0.025 * -2.83751. -0.07093775 -4*2252838 -9011352 Calculate 2078591*12. 24943092 Calculate 1.563*-20.994. -32.813622 Product of 241.38 and -2.19. -528.6222 Product of 0 and 1065.1288. 0 What is 2995398 times -2.1? -6290335.8 What is the product of 382 and -32.17103? -12289.33346 3265*55724 181938860 Product of -56737.66 and 0.8. -45390.128 -818*-124961 102218098 -55228477 * 1 -55228477 Multiply 2098986 and -0.1. -209898.6 -54.22 * 0.1 -5.422 Multiply -489652315 and -0.3. 146895694.5 What is -669178 times -0.38? 254287.64 Product of -0.581 and -62814. 36494.934 -10558 times -17 179486 -0.3*-882.822 264.8466 What is the product of 6011 and -4.594? -27614.534 3.34*13885 46375.9 Multiply 23 and 1583.5312. 36421.2176 Product of 46.717 and -228. -10651.476 Work out 72.513 * -489. -35458.857 -9.048*0.954 -8.631792 What is the product of -9386 and 250.18? -2348189.48 -510*-7849 4002990 Calculate -2.43970124*-0.4. 0.975880496 13 * -45356946 -589640298 -22.9 times -2720 62288 Product of -0.2 and 10061556. -2012311.2 -0.1571913*-0.04 0.006287652 What is the product of -0.03474334 and 0.4? -0.013897336 -1264 times 7.8474 -9919.1136 0 times 51100.04 0 Calculate 34970077*0.4. 13988030.8 Product of 305.435 and -0.28. -85.5218 Calculate -35.079*-55.8. 1957.4082 -3*-16.81251 50.43753 Calculate -0.01*-124224. 1242.24 Calculate -0.4678*3.8. -1.77764 Calculate 227633.3*52. 11836931.6 What is -2 times 0.32794054? -0.65588108 5 times 211.9204 1059.602 Calculate -53*-132845. 7040785 0.02 times -10.979986 -0.21959972 Multiply 1373859 and 7. 9617013 -263777*-3.9 1028730.3 -0.1 * 87353945 -8735394.5 What is -0.5 times -0.50206273? 0.251031365 Calculate -1.9*-402789. 765299.1 Multiply -1.5018 and -333.9. 501.45102 Work out -10 * 108672.38. -1086723.8 -5177 times 32935 -170504495 2*22811443 45622886 What is 3 times 6040968? 18122904 0.064952384 times 2 0.129904768 Calculate -0.44722*-0.204. 0.09123288 -480557*-0.0784 37675.6688 -94.4627 * 0.054 -5.1009858 53*12099771 641287863 Product of 0.0367 and 1887.5. 69.27125 Calculate 13.4*-0.264606. -3.5457204 Multiply -21 and 77.1668. -1620.5028 What is the product of 19607 and -0.0634? -1243.0838 What is t
{ "pile_set_name": "DM Mathematics" }
order. q, 2/17, n Let o be 4/18 + 0/(-2). Let c = -84 - -304. Let k = 1544/7 - c. Put k, o, 0.3 in descending order. k, 0.3, o Suppose 6*p - 5*p - 8 = 4*b, 2*p - 11 = 3*b. Sort 5, 6, p, 3. 3, p, 5, 6 Suppose 0 = -3*j - g - 191, -2 = -5*g + 3. Put j, -1, -0.4 in descending order. -0.4, -1, j Let y = 29 - 31.2. Let a = y - 0.8. Let j = a - -3.2. Sort 1/6, j, -0.2 in descending order. j, 1/6, -0.2 Suppose 8*s + 309 - 893 = 0. Sort -3, s, 2, -1 in ascending order. -3, -1, 2, s Let o(z) = z**3 + 10*z**2 - 10*z + 14. Let c be o(-11). Suppose 4 = -c*s + 4*d, -s - d = 2*s + 14. Sort s, 5, -11. -11, s, 5 Let u = -0.4 + 0.76. Let f = -0.06 + u. Let g = -0.418 + 0.218. Sort f, 3/7, g in ascending order. g, f, 3/7 Let u = -2309 - -2313. Sort 16, u, 0.1. 0.1, u, 16 Suppose 2*p + 3*u = 5*u, p - 10 = -4*u. Suppose -5*z + 0*z + 7 = -j, 0 = p*j + 2*z + 2. Sort j, -4, 2. -4, j, 2 Suppose -2*c + 48 = -4*b, 0*c - 3*b = -2*c + 43. Let x(q) = q**3 + 6*q**2 - 5*q + 10. Let z be x(-7). Sort 2, z, c in descending order. c, 2, z Let n = -45 + 47. Suppose 0 = -5*o - 5*r - 10, n*o + r = -3*o - 10. Sort 1, o, -4. -4, o, 1 Let t(l) = l**3 - 5. Let b be t(0). Let z(r) = r**2 - 45*r + 502. Let m be z(21). Sort 2, 4, b, m. b, m, 2, 4 Let j = 9 + -1. Let g = j - 7.8. Sort 3, -2, g in ascending order. -2, g, 3 Let l = -0.038 - 2.102. Let z = l + 0.14. Let d be (3/2)/1 + -1. Sort -0.1, d, z in decreasing order. d, -0.1, z Suppose -3*y - 53 = -98. Put 2, -2, y, -3 in decreasing order. y, 2, -2, -3 Let h = -27/4 - -7. Let i = -162 + 160. Put -1/6, h, i in descending order. h, -1/6, i Let k be (0 - 18)*(-19)/3. Let l be ((-64)/k)/((-52)/(-54)). Let y = l - -14/19. Sort 0, y, -2 in descending order. y, 0, -2 Let f be 3/5 - 8/(-20). Suppose 0 = -2*v + f + 7. Suppose v = q - 0*q. Sort -4, q, 1. -4, 1, q Let j be -1*0*7/(-56). Suppose -4*l + 3 = -1. Sort -3, l, j in ascending order. -3, j, l Let v(x) = -3*x + 1. Let o be ((-6)/9)/((-4)/(-6)). Let k be v(o). Suppose 0 = k*c - 11 - 9. Put -1, 1, c in descending order. c, 1, -1 Suppose 2*m - 30 = -5*d - 3*m, 0 = 2*m + 2. Put d, 6, 3 in descending order. d, 6, 3 Suppose 4*f + 12 = -h - 3*h, 3*h = -4*f - 9. Suppose 16 = -4*l - f*l. Let u = -10 + 7. Sort u, -5, l in decreasing order. u, l, -5 Let g = -21 - -13. Let p = 3 - 3.4. Sort -1, g, p. g, -1, p Let b(v) = -8*v + 103. Let j be b(14). Let m = -7 - -4. Put m, j, 1, -5 in decreasing order. 1, m, -5, j Let f = -3 - -5. Let g(k) = -k**3 + 44*k**2 - 42*k - 43. Let n be g(43). Put f, -3, 5, n in ascending order. -3, n, f, 5 Let h = 12.1179 + 0.0121. Let c = h + -0.13. Let q = c + -13. Put q, -5, 0 in descending order. 0, q, -5 Let y be (-10)/55 - (-24)/11. Suppose 0 = 3*h - 0*h + 108. Let f be (-27)/(-45) - h/(-10). Sort f, -7, y in ascending order. -7, f, y Let d be (-6)/9*3*-1. Let r be 1*-3 + (-1 - 1) + 8. Suppose -2*i = -5*a + r*a - 8, 3*i = -2*a - 13. Sort 1, d, i in descending order. d, 1, i Let n = -54 - -63. Let u be 3/(-2)*((-15)/n - -1). Suppose l - 20 = -0*l - 5*d, -4*l - 35 = -3*d. Sort u, -2, l. l, -2, u Let c(p) = -5*p - 15. Let h be c(-6). Let m(b) = 4*b**2 - 3 + 6*b**2 + b**3 - h*b**2. Let g be m(5). Put 5, g, 2 in descending order. 5, 2, g Let l = -20323/555 + -9/185. Let k = 36 + l. Sort 4, k, 0.4 in ascending order. k, 0.4, 4 Let o(t) = 6*t - 1. Let g be o(1). Let n(c) = -c**3 - 16*c**2 - 11*c + 57. Let d be n(-15). Sort g, d, 3, 0 in ascending order. d, 0, 3, g Let t = -250 + 173. Let u = -82 - t. Sort -0.4, 1/3, u, 5. u, -0.4, 1/3, 5 Let a = 0.094 - -2.906. Sort -0.4, a, -5, 1/3. -5, -0.4, 1/3, a Let a be (-608)/228*((-1)/(-12) - 0). Put 5, a, 2 in decreasing order. 5, 2, a Let m = -6 - -10. Suppose 0 = 4*h + 8, m*u - 24 = 2*h - 8. Let i = -744 - -744. Sort -2, i, u. -2, i, u Let v be 26/78 - 1/((-9)/6). Sort 6, -1, v in descending order. 6, v, -1 Let t = 9198 - 9202. Suppose 0*r - 3*r = -z + 3, 0 = z + 2*r - 3. Put 4, t, -3, z in decreasing order. 4, z, -3, t Let l = 30.1065 - 0.1065. Sort 3, 0.5, 0.3, l in descending order. l, 3, 0.5, 0.3 Let q = -66.2 - -70.2. Suppose -3*t = -4*o + 15, -10 = 2*t - 4*o - 0*o. Sort q, 2, t in descending order. q, 2, t Let d = 32 - 27.8. Let i = d - 4. Let v = -2.8 - i. Put 2, v, 4 in decreasing order. 4, 2, v Let q(o) = o + 14. Let y be q(-10). Suppose y - 16 = -3*t. Put 1, -2, t in increasing order. -2, 1, t Suppose -9*b + 6*b - 12 = -a, -4*a - 12 = 0. Sort -763, 3, b in increasing order. -763, b, 3 Suppose -10*l + 20*l = 100. Let z be 6/l + 222/(-270). Sort -1, -7/2, z. -7/2, -1, z Let n = 2038 - 2038.3. Sort 42, -2, n. -2, n, 42 Let k be ((-2)/(-6))/(3/(-18))*6. Let s be (k/8)/((-6)/(-16))*1. Sort 6, s, 3 in increasing order. s, 3, 6 Let u = -1.01 - -1. Let l = -15 - -16. Let x = 585 + -586. Put x, l, u in descending order. l, u, x Let c = -1.0078 - -0.0078. Sort 2, c, 119 in increasing order. c, 2, 119 Let x be (-2)/16 + 82/(-112). Let v = -1 - x. Sort -0.12, v, 5 in increasing order. v, -0.12, 5 Let p = -17.2 + 17.1. Sort 0, p, 3, 8. p, 0, 3, 8 Suppose 6*p - 3*p + 15 = 0. Let z(n) = n**2 + 7*n + 9. Let c be z(p). Let b be (8/6)/((-2)/(-3)). Sort c, 0, b in decreasing order. b, 0, c Let x = 167 - 166.93. Let f = 12 - 12.4. Sort f, -5, x, -0.2. -5, f, -0.2, x Let w = 9 + 6. Suppose -4*n + w = n. Suppose 12 = -5*x - 3. Put n, -4, x in descending order. n, x, -4 Let c be 1*-5 - 2387/(-462). Sort 11, -10, 1, c. -10, c, 1, 11 Let m(a) = -a**2 - 8*a - 1. Let o be m(-8). Let s = 8 - o. Sort 3, 0, s. 0, 3, s Suppose -11*k = -6*k - 20. Suppose -3*d + o + 12 = 0, k*d - 5*o - 15 = -4*o. Put d, -13, 5 in ascending order. -13, d, 5 Let t = 68 - 68. Suppose -8 = 2*h, 67 - 7 = 5*y - 5*h. Sort 1, t, y, -3 in decreasing order. y, 1, t, -3 Suppose 29*p - n = 27*p - 9, 2*p + n + 3 = 0. Put p, 4, -1, 49 in increasing order. p, -1, 4, 49 Let u = -18 - -27. Let a = u - 7. Suppose 3*v = -a - 4. Sort 3, -5, v. -5, v, 3 Let p = 1432 - 1427. Sort 15, p, -2, -4. -4, -2, p, 15 Let m be 1 - (1 + -2) - -2. Let c(y) = y**3 - 4*y**2 + y - 2. Let x be c(m). Suppose -18 = p - 3*t, -2*p = 3*t + 92 - 101. Sort p, -1, x in descending order. x, -1, p Let a be -4*1/(-2)*1. Let l be (-13)/(-4) + (-3)/12. Suppose -3*t + 0 - 6 = a*g, l = 3*t - g. Put 2, t, -3 in increasing order. -3, t, 2 Suppose 0 = -199*d + 201*d - 42. Let k = 39 - 37. Put d, 1/7, k in decreasing order. d, k, 1/7 Suppose -9 + 2 = w + 4*v, -w + 20 = -5*v. Let y = w + -16. Let f be 4/8 - y/(-2). Put f, 3, -2 in decreasing order. 3, -2, f Let x be ((-12)/4 + 7 - 3) + -4. Let u = 3 + -8. Sort 3, u, x in descending order. 3, x, u Let s = -32 - -30. Let o = 23.6 + -24. Put 6/5, o, s in descending order. 6/5, o, s Suppose 4*l + 8 = 0, 2*l = 2*o - 3*l. Let j = 2361 + -2364. Sort 4, j, 0, o in descending order. 4, 0, j, o Let m(h) = h**2 + 8*h + 7. Let a be m(-6). Sort 2, a, 14 in increasing order. a, 2, 14 Let a = 4 - 1. Let w = -4 + a. Let o be (w + 1 - -1)/1. Sort o, -17, -3 in decreasing order. o, -3, -17 Suppose 0 = -2*b + 5*h + 16, h - 5 = -3*b - h. Suppose 2*j - 17 = -b*w, -14 = -3*j + j - 2*w. Let d be -1 - (1 - j)/3. Sort d, 4, 1. d, 1, 4 Let s be ((-597)/(-303))/(-3 + 0). Let n = s + -1/101. Let i be ((-3)/4)/(9/15). Sort n, i, -1 in descending order. n, -1, i Let w = -0.0226 + 1.0226. Let d = 15 + -46/3. Sort w, d, -6. -6, d, w Let x(i) = -4*i**3 + i**2 + 14*i - 16. Let v be x(1). Let a(f) = 4*f**2 + f - 1. Let b be a(1). Put 2, v, -3, b in descending order. b, 2, -3, v Let u = 8 - -5. Let h = -16 + u. Let m = -0.541 + 0.041. Put h, 0.2, m in increasing order. h, m, 0.2 Let k be (-5)/(-20) - (-30)/(-56). Let b be (10 + -96)*(-14)/10. Let j = 121 - b. Put k, -2, j in descending order. j, k, -2 Suppose -302*j + 303*j - 4 = 0, 3*g = -5*j + 11. Suppose 3*x - 5 = -47. Sort x, g, -2 in ascending order. x, g, -2 Let n = -16.9 - -16.9. Sort -1.3, 1/4, n, 4 in increasing order. -1.3, n, 1/4, 4 Suppose 4*m = y - 1, 3*y + 18 = 7*y - 2*m. Sort 8, -3, y, 2 in increasing order. -3, 2, y, 8 Let l be (4/3)/(6/9). Let r(b) = -b - 3 + 11 + l*b. Let a be r(-7). Sort a, -4, -1 in decreasing order. a, -1, -4 Let a = -0.5 - -1.2. Let h = a + -11.7. Let k = h - -11.3. Sort k, 4/9, 0.1 in increasing order. 0.1, k, 4/9 Let n = -91 - -89. Sort 7, 4/9, n in decreasing order. 7, 4/9, n Suppose 4*l - k = -101, k - 39 = 5*l + 87
{ "pile_set_name": "DM Mathematics" }
(b) + 4*r(b). Give y(u(k)). 19*k**2 Let u(h) = -5*h**2. Let k(d) = 2*d**2. Let x(z) = -8*k(z) - 3*u(z). Let v(o) = 17*o - 7*o - 4*o - 7*o. Give v(x(f)). f**2 Let b(c) be the first derivative of -c**2 - 25. Let w(l) = -33*l. Determine w(b(y)). 66*y Let a(i) = 3*i**2. Let k(w) = 101*w. What is a(k(q))? 30603*q**2 Let g be 2/2 - (4 + -5). Let u(x) = -x**2 - g*x**2 + 3*x**2 + 3*x**2. Let z(o) = o. What is u(z(l))? 3*l**2 Suppose 34 = 2*k + 3*k - 3*t, 4*t - 16 = -k. Suppose -5*w + k = -u + 2*u, 3*w - 4 = -u. Let p(n) = -n + w*n + 0*n. Let a(j) = -2*j. What is p(a(l))? -2*l Let s(u) = u. Suppose -2 = -j - 0. Let z(f) be the second derivative of -f + 1/3*f**3 + 0*f**j + 0. What is z(s(b))? 2*b Let b(g) = 1 - 1 - 2*g. Let s(u) be the third derivative of 0*u + 1/30*u**5 + 0*u**3 + 0 + 0*u**4 - 2*u**2. What is b(s(l))? -4*l**2 Let q(v) = -18*v**2. Let a(x) = 24*x**2. Calculate a(q(i)). 7776*i**4 Let f(w) be the second derivative of -w**6/180 - w**3/2 - w. Let n(x) be the second derivative of f(x). Let r(k) = k. Determine n(r(d)). -2*d**2 Let q(m) = 11*m**2. Let s(k) be the third derivative of -k**6/720 + k**4/8 - 8*k**2. Let r(d) be the second derivative of s(d). Calculate r(q(g)). -11*g**2 Let s(i) = 2*i**2. Let o be (2/(-4))/((-4)/(-64)). Let j be 6/4*o/(-3). Let v(f) = -f**2 - 4*f + j*f. What is s(v(t))? 2*t**4 Let r(t) = 12*t + 5. Let k(h) be the second derivative of 4*h + 0 - 1/2*h**2 - 1/6*h**3. Let z(y) = -5*k(y) - r(y). Let q(j) = -2*j. Calculate z(q(v)). 14*v Let c(f) = 5*f**2 - 6*f. Let u(i) = -11*i**2 + 11*i. Let g(t) = 11*c(t) + 6*u(t). Let x(n) = 2*n. Give x(g(z)). -22*z**2 Let x be (-9 - -9)*(-1)/(-2). Let a(j) = 4 + x - 2*j - 4. Let n(t) be the second derivative of t**3/6 + 2*t. Calculate n(a(y)). -2*y Let i(w) be the first derivative of 0*w**2 + 1/3*w**3 - 5 + 0*w. Let g(r) = -9*r**2 - 5. Let j(t) = -5*t**2 - 3. Let u(p) = 3*g(p) - 5*j(p). Determine i(u(y)). 4*y**4 Let i(t) = -248*t. Let l(v) = -3*v. What is i(l(r))? 744*r Let b(d) = 3*d**2. Let l(t) = -7*t - 261. Determine l(b(c)). -21*c**2 - 261 Let n = 10 + -10. Let a(d) = 0 - 25*d + 30*d + n. Let s(p) = -p. Determine a(s(r)). -5*r Let m(c) = c. Let a(h) = -5*h**2 + 24*h**2 - 4*h**2 + 20*h**2. What is m(a(l))? 35*l**2 Let u(p) = 2*p**2 + 1 - 1. Let v(l) = l**3 - l**2 + 6. Let k be v(0). Let s(w) = 6 - k + w**2. Determine s(u(y)). 4*y**4 Let w(z) be the third derivative of z**4 + 16*z**2. Let o(b) = -2*b**2. Determine o(w(h)). -1152*h**2 Let q(b) be the third derivative of b**5/10 - 12*b**2. Let r(p) = 2*p**2. Determine r(q(j)). 72*j**4 Let h(y) = -y**2. Let p be -33*((-14)/3)/7. Let r(a) = -a**2. Let s(w) = -14*w**2. Let x(l) = p*r(l) - 2*s(l). Calculate x(h(g)). 6*g**4 Let v(w) = w. Let d(z) = 76*z - 25. Calculate d(v(s)). 76*s - 25 Let a(l) = l**2 + 15*l + 16. Let k be a(-14). Let i(r) = -74*r**k + 71*r**2 + 1 - 1. Let j(f) = f**2. Determine j(i(x)). 9*x**4 Let p(u) be the second derivative of -u**5/24 - 3*u**3/2 + 5*u. Let d(a) be the second derivative of p(a). Let g(i) = 4*i**2. Give g(d(y)). 100*y**2 Let r(d) be the second derivative of -1/6*d**4 + 0*d**2 + 0*d**3 + 0 - 4*d. Let y(v) be the second derivative of v**4/2 - 4*v. Calculate y(r(h)). 24*h**4 Let x(k) = 114*k. Let h(o) = 101*o. Give x(h(f)). 11514*f Let w(x) = x. Let f(b) = 4744*b. Give w(f(s)). 4744*s Let y(l) = 475*l**2. Let x(d) = -2*d. What is x(y(c))? -950*c**2 Let p(u) = 131*u**2. Let c(b) = 2*b**2. Calculate p(c(w)). 524*w**4 Let m(b) = -3*b. Suppose 3*z - 3*p + 17 = 5*z, -5*p = 5*z - 35. Let i(k) = 40 - z*k**2 - 40. Give i(m(f)). -36*f**2 Let m(o) = -1 + 1 - o**2. Let v(i) be the second derivative of -i**3/3 + 8*i + 8. What is m(v(h))? -4*h**2 Let r(f) = 2*f**2. Let o(m) be the second derivative of -m**6/30 - m**3 + 5*m. Let l(h) be the second derivative of o(h). Give l(r(q)). -48*q**4 Let a(p) be the second derivative of -5*p**4/12 - p. Let k(x) = -23*x + 49*x - 27*x. What is a(k(z))? -5*z**2 Let i(c) = 6*c. Let j(w) be the second derivative of w**4/12 - 14*w. Determine i(j(v)). 6*v**2 Let q(f) = 3*f - 2. Let y(s) = -8*s**2. Calculate q(y(m)). -24*m**2 - 2 Let m(v) = 3*v**2 + 203. Let n(a) = 2*a**2. Give m(n(z)). 12*z**4 + 203 Let q(i) = 129*i. Let l(p) = -p**2. What is q(l(a))? -129*a**2 Let s(a) = -5*a + 8*a - a + 0*a. Let c(j) = 5*j. Determine c(s(u)). 10*u Let v(o) be the second derivative of o**4/4 + 10*o. Let x(u) = 4*u. Calculate v(x(p)). 48*p**2 Let p(n) = 12*n**2. Let i(o) = 5*o**2 + 4*o. Let f(j) = -14*j**2 - 11*j. Let b(y) = 4*f(y) + 11*i(y). Calculate p(b(h)). 12*h**4 Let u(s) = 3*s. Suppose 0 = 2*w - 3*w + 5. Let l(j) = -w - 2*j + 5. Calculate l(u(i)). -6*i Let i(w) = -2*w**2. Let o(r) = 325*r**2 + 8. Determine o(i(h)). 1300*h**4 + 8 Let j(h) = h. Let u(i) = -4*i. Let r(n) = 3*j(n) + u(n). Let k(c) = c**2. Let m(a) = 3*a**2. Let g(z) = -21*k(z) + 6*m(z). Calculate r(g(s)). 3*s**2 Suppose 5*a - 10 = -5*u, -4*u = 2*a - u - 4. Let l(o) be the first derivative of o**2 - 2 - a + 2. Let n(c) = -5*c. Give l(n(t)). -10*t Let b(p) = 4 - p**2 + 1 - 5. Let z be 2/3 - (-32)/24. Let d(f) = -z*f - 3*f - f. Calculate b(d(x)). -36*x**2 Let f(i) = 5*i**2. Let h(c) = -c**2 + 99*c. Determine h(f(a)). -25*a**4 + 495*a**2 Let p(l) = -l**2. Let y(u) = -110 - u**2 + 110. Let c(v) = 8*v**2. Let z = 7 - 5. Let x(m) = z*c(m) + 18*y(m). Calculate p(x(k)). -4*k**4 Let x(u) be the second derivative of u**4/6 + 18*u. Let q(c) = 4*c - 16. Give q(x(t)). 8*t**2 - 16 Let b(h) = -h. Let k(a) be the third derivative of -a**5/20 - 11*a**2. Determine k(b(w)). -3*w**2 Let m(l) = -8*l. Suppose -2*n - 2*d - 13 = -65, d - 116 = -4*n. Let j(k) = -32*k**2 + n*k**2 - 2 + 2. Calculate m(j(a)). 16*a**2 Let k(l) = -4*l**2. Let x = 50/99 - 1/198. Let s(g) be the first derivative of -x*g**2 + 0*g + 2. Calculate k(s(d)). -4*d**2 Let g(q) = q. Let u(f) = 5*f**2 - 3*f + 3. Let z(r) = r**2 - r + 1. Let p = -19 - -22. Suppose 3*a + 1 = 2*a. Let m(n) = a*u(n) + p*z(n). Determine m(g(v)). -2*v**2 Let y(w) = -2*w**2. Let x(c) = 4. Let o(j) = -j + 3. Let v(f) = 4*o(f) - 3*x(f). Calculate y(v(n)). -32*n**2 Let u(n) = -4445*n**2. Let p(l) = -5*l**2. Calculate u(p(q)). -111125*q**4 Let z(n) = 77*n. Let y(j) = -j. Determine y(z(l)). -77*l Let l(t) = -12*t**2. Let r(w) = 7*w. What is l(r(x))? -588*x**2 Let o(g) = 3*g**2. Let j(p) = -4 - 8*p**2 + 3 + 8*p + p**3 - 5. Let r be j(7). Let v(b) = 2*b**2 + 1 - r. Give o(v(q)). 12*q**4 Let v(x) = 2*x**2. Let b(u) = 2*u - 3*u - 119*u**2 + 131*u**2. Calculate v(b(a)). 288*a**4 - 48*a**3 + 2*a**2 Let g(l) = -l + 4. Let x(j) = 2*j - 5. Let k(s) = -5*g(s) - 4*x(s). Let d(r) be the third derivative of -r**4/8 + 3*r**2. Calculate k(d(p)). 9*p Let p(g) be the second derivative of g**4/6 + 4*g. Let u(s) = s - 2 + 3 - 2. Let h(n) = -5*n**2 + 6*n - 6. Let r(a) = h(a) - 6*u(a). Determine r(p(j)). -20*j**4 Let u(x) = 9*x + 7. Let q(y) = 8*y + 6. Let s = -749 - -1069. Let n be (-4)/(-14) - s/(-56). Let c(i) = n*u(i) - 7*q(i). Let m(b) = 5*b. What is m(c(t))? -10*t Let i(p) = 17*p**2. Let s(a) be the second derivative of a**3/6 + a. Determine s(i(u)). 17*u**2 Let l be 5 - (3/3)/1. Let j(q) = -l*q + 5*q + 2*q - 2*q. Let f(u) = 0*u**2 - 3*u**2 - 2*u**2. What is f(j(m))? -5*m**2 Let d(m) be the second derivative of -m**4/4 + m. Let s(g) be the second derivative of g**4/4 - 3*g. Calculate s(d(n)). 27*n**4 Let k(c) = -437*c - 1. Let d(l) = -l. What is k(d(h))? 437*h - 1 Let k(m) = 6*m. Let a(d) = 23*d. Let c(l) = 8*l. Let s(u) = -6*a(u) + 17*c(u). What is s(k(h))? -12*h Let j(a) = 2*a. Let m be (5 - 2)*(-2)/(-3). Let o(u) = -u + 5*u**2 - 4*u**m + u. What is j(o(k))? 2*k**2 Let f(a) = 2*a + 28. Let l(q) = -q**2. Calculate l(f(z)). -4*z**2 - 112*z - 784 Let d(r) = 337*r - 337*r + r**2. Let a(m) = -2*m**2 - 7. Determine d(a(u)). 4*u**4 + 28*u**2 + 49 Let i(f) = -f - 4 + 4. Let p(d) = 2*d**2 + 3*d + 3. Let q(h) = -2*h**2 - 2*h - 2. Let w(l) = -2*p(l) - 3*q(l). Give w(i(n)). 2*n**2 Let g(h) = -10*h. Let b(m) = 14 - 14 + 8*m + m. Give g(b(v)). -90*v Let n(g) = 182*g**2. Let d(u) = -2*u. What is d(n(y))? -364*y**2 Let m(q) = q**2. Let l(o) be the second derivative of 3*o**3/2 - 32*o. Calculate l(m(i)). 9*i**2 Let c(r) = -2 + 2 - 3*r. Let g(v) be the second derivative of v**3/2 - v. Determine c(g(i)). -9*i Let v(u) = -20*u**2. Let x(n) = 8*n.
{ "pile_set_name": "DM Mathematics" }
*z**4 Expand (-1 + 1 + 1)*(-2*k - 4*k + 4*k) + (-18 - 1 + 0)*(-k + 5*k - 2*k). -40*k Expand (l - 2*l**2 - l)*(7 - 3 + 0) - 4*l**2 + 6*l**2 + l**2 + (0 + 6 - 2)*(-3 - 2*l**2 + 3). -13*l**2 Expand (a**3 + 1 - 1)*(3 - 5 + 4)*(0*a + a - 3*a)*(6*a - 9*a + 8*a + (2 - 2 - 1)*(-2*a - 4*a + 3*a)). -32*a**5 Expand (1 - 1 - w**4)*(-2 - 1 + 2) + 4*w**4 - 92*w**4 + w**2 - 361*w**4. -448*w**4 + w**2 Expand (461 + 44 + 799 - 215 + 534)*(-2*z**2 + 3*z**2 - 3*z**2). -3246*z**2 Expand 0*k**2 - k**2 + 3*k**2 + (-k - 2*k + 2*k)*(3*k + k - 3*k) + 4*k**2 - 3*k**2 + 0*k**2 + 53*k**2 - 185*k**2 - 339*k**2. -469*k**2 Expand ((2*x - x + x)*(3 - 6 + 1) - 2*x - 2*x + 2*x)*(135 - 619 + 161 + 49). 1644*x Expand (2*d**3 - d**3 + d**3)*(64*d + 129*d - 106*d). 174*d**4 Expand (-y**5 - 6*y**5 - 10*y**5)*(1 - 3 + 3) + y**4 - y**4 + 2*y**5. -15*y**5 Expand (367*k**4 - 348*k**2 - 1 + 348*k**2 - 4*k**4)*(0*k + k + k). 726*k**5 - 2*k Expand -53*n + 28*n + 12*n + n - n + 2*n + 3*n - 4*n + 3*n + (0*n - 5*n + 3*n)*(-1 + 2 + 4). -19*n Expand ((-1 + 1 + 2)*(-2 - 1 + 1) - 4 + 1 - 1)*(4 + 1 + 1)*(-4 + 2 + 4)*(-n + n - n)*(-4*n**2 + 6*n**2 - 4*n**2). -192*n**3 Expand (0*l + 0*l - 4*l)*(-1 + 1 - 2*l) - 5 + 5 + l**2 - 2 - 58*l - l**2 + 0 + 47*l. 8*l**2 - 11*l - 2 Expand (3 + 12*o + 0 - 4)*(-3 - 3 + 4). -24*o + 2 Expand (0*h + 5*h - 3*h)*((0*h - 3*h + h)*(2 - 1 + 0) - 79 + 79 + 8*h). 12*h**2 Expand (2*h - 3*h - 3*h)*(-6 - h + 6)*(-3 - 4 - 2). -36*h**2 Expand (6292*v + 95*v**3 + 284*v**3 + 7*v**3 - 6292*v)*(-v**2 + 7*v**2 - 4*v**2). 772*v**5 Expand (72*q + 177*q + 924*q - 78*q + 648*q)*(-q**3 - 2*q**3 + q**3). -3486*q**4 Expand -2*n**5 - 4*n**5 + 2*n**5 + ((-6*n**2 + 2*n**2 + 2*n**2)*(0 + 0 + 3) + 0*n**2 + 3*n**2 - n**2)*(-2*n**3 + 2*n**3 + n**3). -8*n**5 Expand -94381 + 94381 + 146*g**3 + (g**2 + 1 - 1)*(-4*g + 4*g + g). 147*g**3 Expand (-2*d**3 + 6*d**4 + 2*d**3)*(0 + d + 0) + (-2*d**4 - 3*d**4 + 3*d**4)*(d + d - d). 4*d**5 Expand (2 - s - 2 + (4 - 3 - 2)*(-1 + 1 - 2*s) + 3*s - 4*s + 2*s)*(-13543*s**2 + 124*s**4 + 13543*s**2). 248*s**5 Expand (-2*t + 0*t + 0*t)*(0*t**2 + 3*t**2 - 4*t**2) + 21 - 18*t**3 - 14*t - 22 + 17*t**3. t**3 - 14*t - 1 Expand (5*c**3 - 4*c**3 + 0*c**3)*(17*c**2 - 4*c + 1139 - 1139). 17*c**5 - 4*c**4 Expand (-2 - 7*w + 2)*((1 + 1 - 1)*(-4 + 6 - 4) + (1 + 2 + 4)*(5 - 1 - 2) + (3 - 5 + 0)*(-1 + 3 + 0)*(1 + 0 - 5)). -196*w Expand (-3*o**5 - 5*o**5 - o**5)*(-13 - 25 - 3)*(5 - 2 - 5). -738*o**5 Expand 3*v - 3*v + 4*v**2 + (4*v - 4*v + v**2)*(-4 + 1 + 1) + 4*v**2 - 5*v**2 + 2*v**2 - 21*v - 24*v + 16*v**2 + 46*v. 19*v**2 + v Expand 44 - q**2 + 0*q**2 - 42 + (-1 - 2*q + 1)*(q - 3*q + 0*q) + 3*q**2 + 3*q**2 - 4*q**2 + 3*q**2 + 3*q**2 + 22*q**2 + q**2 - 2*q**2 - q**2. 31*q**2 + 2 Expand (-q + 5*q - 2*q)*(2 - 1 - 3) - 3*q + 0*q + 2*q + (-2*q + 9*q + 5*q)*(2 + 0 + 1). 31*q Expand (-2*q + q + 0*q + (-1 + 0 + 0)*(q - q + 2*q) + 2*q - q + 0*q + 3 + q - 3 - 33*q - 47*q + 25*q)*(1 + 1 - 3)*(-3 + 4 - 7). -336*q Expand (-7 - 4*q + 7)*(0 + 6 - 3) + (1 + 1 + 2 + (0 - 2 + 0)*(-2 + 0 + 1) - 6 + 2 + 3)*(1 - q - 1). -17*q Expand (2*u - 3*u + 3*u)*(26*u + 28*u - 897*u**2 + 33*u - 87*u). -1794*u**3 Expand 13734 + 2*l**5 - 13734 - 947*l**3 + (-l**5 - 2*l**3 + 2*l**3)*(0 + 5 - 4) + l**5 + 2 - 2. 2*l**5 - 947*l**3 Expand (-3*m + 3*m - m - m + 0*m - m + (m - 3*m + 0*m)*(4 + 3 - 5) + 2*m - 2*m - m + 3 - 3 + 3*m)*(7 - 1 - 7*m + 3*m). 20*m**2 - 30*m Expand (3 - d + 0 - 2)*(-498 + 498 - 39*d). 39*d**2 - 39*d Expand (5*b**2 - b**2 - b**2)*(-3*b**2 + 2*b**2 + 2*b**2 + 1 + b**2 - 1 + (-3 + 1 + 0)*(-b + b + 2*b**2) + 0*b + 0*b - 3*b**2). -15*b**4 Expand l - 2*l**2 - l + (-21*l + 6*l - 21*l)*(-l + 5*l - 2*l) + (3*l**2 - 2*l**2 + l**2)*(2 + 3 - 7). -78*l**2 Expand (0*a - 2*a**3 + 0*a)*(28*a**2 + 94*a**2 + 0*a**2) + 0*a**5 + 0*a**5 - 2*a**5 + (4 + 2*a**2 - 4)*(-2*a**3 + 0*a**3 + 0*a**3). -250*a**5 Expand (-356*x + 260*x - 1 - 160*x - 320*x)*(-2 + 2 - 3*x**4). 1728*x**5 + 3*x**4 Expand (24 + 18*a**2 - 24)*(-4*a**3 + 0*a**3 + 2*a**3) + a**4 + a**5 + a**4 - 2*a**5 + 56*a**4 - 5*a**5 - 56*a**4. -42*a**5 + 2*a**4 Expand (-4*r**2 + r**2 + 2*r**2)*(101*r**2 - 4248 + 4248) + 0*r**4 - 2*r**4 + 3*r**4 + (0*r - 2*r**4 + 0*r)*(3 + 2 - 4) - r**4 - 4*r**3 + 4*r**3. -103*r**4 Expand (-1 - 2*l + 1)*(-2 - 3 + 3)*(-107 + 107 - 25*l) + 2*l**2 - 3*l**2 - l**2 - 6*l**2 + 2*l**2 + 2*l**2 + (3*l + 2*l - 4*l)*(l + 1 - 1). -103*l**2 Expand -42*b**2 + 1452*b - 1452*b + 1 - 1 - 2*b**2 + b**2 - 5*b**2 + 2*b**2 + (-2*b - 3*b + 3*b)*(b + 2*b - 2*b). -48*b**2 Expand 0*p**2 + 3*p**3 + 0*p**2 + (p**3 - 6*p**3 - p**3)*((-3 + 1 + 0)*(-1 + 1 + 1) + 3 + 5 + 1). -39*p**3 Expand -5 - 23*q - 2*q + 2 + (2*q - q + 0*q)*(-1 - 2 + 5). -23*q - 3 Expand (0 + 0 - 4*c**2)*(-2 + 1 + 3) + 19*c**2 - 17*c**2 + 0 + 4. -6*c**2 + 4 Expand 0 + 0 - 2*w + (0*w + w - 2*w)*(-2 + 3 - 2) - 7*w - 54 + 54 - 2*w - w + 0*w + 4*w - 2*w + 2*w. -7*w Expand 3*y**5 + 3 + 1 - 2 + y**5 - 3*y**5 + 0*y**5 + (3*y**3 - 2*y**3 - 2*y**3)*(-2*y**2 - y + y) + 0*y**5 - y**5 + 0*y**5. 2*y**5 + 2 Expand (-2*p**3 + 4*p**3 - p**3)*(3 - 6 + 2 - 3 + 1 + 1 + (4 - 6 + 3)*(-1 + 4 - 5) + 10 - 5 + 1). 2*p**3 Expand (-7*z**3 + 2*z**3 + 35*z**3)*(-3 - 2 + 4) + 0*z**3 + 2*z**3 + 0*z**3. -28*z**3 Expand (0 + 1 + 1 + (4 - 4 + 2)*(0 + 0 + 1) + 1 + 0 - 3 + 3 - 3 - 2 + 4 - 3 - 3)*(-2*a + 0*a + 4*a). -4*a Expand (0*f + f + 0*f)*(20 - 20 - 12*f + (0 + 2 + 0)*(2*f - 1 + 1) + f - 3*f + 3*f) - 47 - 11*f**2 + 47. -18*f**2 Expand -f**5 - 2*f**5 + f**5 + (3*f - f + 0*f)*(4*f**4 + 2*f**4 - 4*f**4) + 224*f - 105*f**5 - 224*f. -103*f**5 Expand (-936*r + 936*r - 37*r**3)*(-r**2 - 5*r**2 + r**2). 185*r**5 Expand (0*b - 3*b + b)*(-190 + 132*b**4 + 190). -264*b**5 Expand (-7 - 4*n**5 + 7)*(-2 + 0 - 8 + 1 + 1 + 0 + (-5 - 1 + 5)*(-2 + 6 - 3) + 3 - 6 + 1 - 3 + 4 + 0)*(1 - 5 + 0). -160*n**5 Expand (5 + 3 - 2)*(-1 + 5 - 2)*(2*v + 29 - 60 + 32). 24*v + 12 Expand (-h - h**2 + h)*(6*h**3 - h**3 + 0*h**3) + (h**5 - 3*h + 3*h)*(8 - 1 + 0). 2*h**5 Expand (u + 3*u - 6*u)*(-2 + 1 + 2)*(-2*u + 0*u - 5*u). 14*u**2 Expand (-54121*m + 54121*m + 69 - 3*m**2)*(-m**3 + 4 - 4). 3*m**5 - 69*m**3 Expand (-217*z - 26 - 2 + 220*z)*(0*z**2 + 5*z**2 - 4*z**2). 3*z**3 - 28*z**2 Expand -2*f**2 + 2*f**2 + f**2 + (-f + 0*f + 2*f)*(f + 2*f - 9*f) - 5*f - 3*f**2 + 5*f. -8*f**2 Expand 6*u**4 - 3*u**4 - 4*u**4 + 0*u**2 + 5*u**4 + 0*u**2 + (2*u**3 - 2*u**3 + 2*u**4)*(2 + 2 - 2) + u**4 + 12 - 12 + (3*u + 0*u - u)*(0*u**3 + u**3 - 3*u**3). 5*u**4 Expand 2*w**4 + w**4 - 2*w**4 + w**4 + 0*w**4 + w**4 + (-w - w + w)*(-w + w - 2*w**3) + 4*w**2 + 53*w**4 - 40*w**2 - 42*w**4. 16*w**4 - 36*w**2 Expand -201 + 39*k**2 + 14*k - 12*k + 200 + (k - 4*k + 4*k)*(-k + 0*k + 0*k). 38*k**2 + 2*k - 1 Expand (2744 + 6314*f - 5482 + 2738)*(-5*f + 4*f + 0*f). -6314*f**2 Expand (3 - 3 - w)*(-48*w**3 + 16*w**2 + 47*w**3 - 2 + w**2). w**4 - 17*w**3 + 2*w Expand -6*t**2 + 8*t**2 - 5*t**2 - 3 + t - t**2 - t + (-5 + 5 + 1)*(0*t + 5*t**2 + 0*t). t**2 - 3 Expand (1 - 1 - u**2 + (u + 5*u - 4*u)*(-3 + 3 + 2*u) + 4*u**2 + 0*u**2 - 2*u**2)*(-82 + 82 - 14*u**3). -70*u**5 Expand c - 2*c + 2*c + (2 + 3 - 2)*(-2*c + 5*c - c) + 26*c + 3 - 11*c - 16*c. 6*c + 3 Expand 0*b**2 + 0*b**2 + 2*b**2 + (-2 - 4 + 4)*(-3*b**2 + b**2 - 7*b**2 + (0*b - b + 2*b)*(4*b - b - 4*b) - 5*b**2 + 6*b**2 + 4*b**2). 12*b**2 Expand (2*g**2 + 7407*g - 3671*g - 3695*g)*(2*g**3 - 3*g**3 - g**3 + (0 + 0 - 2*g**3)*(-5 + 4 + 2)). -8*g**5 - 164*g**4 Expand (-d**2 + d**2 - d**2)*(0 - 5 + 3)*(-75 + 75 - 19*d). -38*d**3 Expand (-6 + 7 - 11 + t)*(3*t**2 - 3*t**2 + t**2)*(7*t**2 - 7*t**2 - 12*t**2). -12*t**5 + 120*t**4 Expand (-2 + 2*s + 2)*(-56 - 81*s + 155*s - 75*s). -2*s**2 - 112*s Expand 8*l**2 + 0*l**2 - 3*l**2 + 0*l**2 - l**2 - l**2 + (0 - l + 0)*(1 - 1 + l) + 6*l**2 - 4*l**2 + 2*l**2. 6*l**2 Expand -2*s**4 - 4 + 4 + (0*s**3 + 3*s**3 - s**3)*(-4 - s + 4) + 57432*s - 290*s**4 - 57432*s. -294*s**4 Expand 2*o**5 - 3*o**5 + 4 - o**5 + (-2*o - 2*o + 2*o)*(4*o**4 + 0*o**4 - 3*o**4). -4*o**5 + 4 Expand 3*x - 6 + 13 - x + (-4 + 14 - 4)*(-3 - 2*x + 3). -10*x + 7 Expand (2*l**4 - 2*l**4 + l**4)*(9 - l - 9) - 7*l**5 - 18*l**5 + 7*l**5. -19*l**5 Expand ((-p + 2 - 2)*(-5*p + 4*p + 0*p) + 3*p**2 - 2*p**2 + p**2)*(8*p**2 - 258 + 128 + 132 + 2*p). 24*p**4 + 6*p**3 + 6*p**2 Expand (-3*m - 2*m**4 + 3*m)*(0 + 0 - 2) + 2*m**3 - 2*m**3 + 9*m**4 + (
{ "pile_set_name": "DM Mathematics" }
se 11? -1 171 (base 12) to base 13 148 Convert -15 (base 12) to base 11. -16 -130 (base 4) to base 16 -1c Convert -21 (base 8) to base 2. -10001 Convert 17 (base 14) to base 16. 15 2 (base 6) to base 15 2 What is 128 (base 11) in base 9? 177 What is -1 (base 3) in base 10? -1 What is 5 (base 6) in base 7? 5 Convert b1 (base 14) to base 11. 131 25 (base 10) to base 3 221 Convert 6 (base 16) to base 7. 6 What is -11 (base 3) in base 14? -4 What is -25 (base 7) in base 8? -23 Convert 1303 (base 5) to base 10. 203 -2a (base 16) to base 2 -101010 30 (base 16) to base 10 48 3 (base 15) to base 9 3 -2 (base 7) to base 4 -2 Convert 0 (base 15) to base 2. 0 -4 (base 8) to base 10 -4 What is -12 (base 9) in base 13? -b -1 (base 6) to base 11 -1 Convert -113 (base 4) to base 15. -18 Convert 0 (base 16) to base 8. 0 Convert 5 (base 16) to base 5. 10 161 (base 10) to base 12 115 What is 2 (base 11) in base 3? 2 Convert -5 (base 11) to base 14. -5 Convert 17 (base 12) to base 2. 10011 What is -21 (base 9) in base 8? -23 Convert 1001000 (base 2) to base 7. 132 100 (base 6) to base 13 2a 3 (base 5) to base 15 3 -60 (base 16) to base 10 -96 What is -4 (base 10) in base 13? -4 Convert 6 (base 15) to base 10. 6 4 (base 5) to base 4 10 14 (base 7) to base 5 21 What is -2 (base 8) in base 6? -2 What is 2 (base 8) in base 5? 2 Convert -3 (base 10) to base 7. -3 What is -11c (base 14) in base 4? -3132 Convert 1054 (base 6) to base 9. 307 10 (base 12) to base 6 20 1 (base 3) to base 10 1 Convert 2 (base 7) to base 9. 2 Convert -30 (base 11) to base 5. -113 Convert -100 (base 2) to base 7. -4 Convert -49 (base 11) to base 15. -38 Convert -161 (base 9) to base 13. -a6 Convert 75 (base 8) to base 12. 51 Convert 0 (base 8) to base 3. 0 140 (base 5) to base 13 36 -8 (base 10) to base 7 -11 2 (base 3) to base 7 2 What is -563 (base 7) in base 11? -244 -4 (base 5) to base 10 -4 What is -25 (base 6) in base 5? -32 222 (base 6) to base 2 1010110 What is -2101 (base 4) in base 9? -171 1 (base 13) to base 9 1 -2 (base 6) to base 2 -10 What is 146 (base 12) in base 3? 21100 Convert 41 (base 7) to base 15. 1e -220 (base 3) to base 6 -40 Convert -10000 (base 2) to base 10. -16 What is 43 (base 8) in base 7? 50 -1004 (base 5) to base 8 -201 Convert 19 (base 16) to base 8. 31 Convert -3 (base 9) to base 4. -3 10011101 (base 2) to base 13 c1 Convert -6b (base 14) to base 8. -137 What is 26 (base 15) in base 5? 121 What is 6 (base 11) in base 9? 6 -4 (base 16) to base 10 -4 What is -4 (base 13) in base 5? -4 What is -8 (base 16) in base 3? -22 What is -7 (base 15) in base 12? -7 7 (base 12) to base 4 13 Convert -1 (base 2) to base 12. -1 -5 (base 11) to base 2 -101 What is 1000110 (base 2) in base 8? 106 13 (base 6) to base 4 21 What is -110 (base 3) in base 7? -15 1100 (base 2) to base 6 20 -253 (base 6) to base 11 -96 Convert 10111 (base 3) to base 16. 5e What is -112 (base 3) in base 7? -20 What is 5 (base 7) in base 14? 5 Convert -1 (base 9) to base 4. -1 -22 (base 6) to base 8 -16 What is -1100 (base 2) in base 11? -11 Convert 1215 (base 6) to base 8. 453 -224 (base 8) to base 13 -b5 Convert -31 (base 9) to base 14. -20 What is -7 (base 14) in base 12? -7 -404 (base 6) to base 12 -104 What is 1020 (base 5) in base 2? 10000111 Convert -3 (base 10) to base 6. -3 Convert 10211 (base 3) to base 2. 1100111 Convert 110 (base 2) to base 4. 12 a (base 14) to base 9 11 What is 19 (base 14) in base 4? 113 What is 1 (base 9) in base 2? 1 11 (base 10) to base 9 12 What is 1 (base 7) in base 12? 1 Convert 26 (base 9) to base 7. 33 What is -110 (base 2) in base 15? -6 Convert 8 (base 13) to base 12. 8 Convert 18 (base 11) to base 8. 23 3 (base 16) to base 14 3 Convert -165 (base 10) to base 4. -2211 What is 4b (base 15) in base 2? 1000111 Convert 5 (base 9) to base 13. 5 What is -4 (base 10) in base 14? -4 Convert a6 (base 11) to base 16. 74 Convert 2d (base 14) to base 8. 51 Convert 5 (base 12) to base 10. 5 -12 (base 11) to base 16 -d What is -101 (base 7) in base 6? -122 What is 1 (base 8) in base 4? 1 What is 152 (base 8) in base 9? 127 What is 7 (base 11) in base 14? 7 Convert 2200 (base 3) to base 2. 1001000 21 (base 5) to base 9 12 Convert 1 (base 3) to base 9. 1 Convert 1 (base 14) to base 12. 1 90 (base 12) to base 14 7a What is 0 (base 2) in base 15? 0 Convert 18 (base 13) to base 12. 19 What is 11 (base 5) in base 3? 20 Convert 323 (base 6) to base 2. 1111011 -29 (base 11) to base 8 -37 Convert 1d (base 15) to base 11. 26 5 (base 12) to base 8 5 Convert 1 (base 8) to base 3. 1 Convert -34 (base 5) to base 6. -31 Convert 20 (base 16) to base 7. 44 Convert -2 (base 16) to base 2. -10 Convert 7 (base 10) to base 11. 7 -133 (base 7) to base 4 -1021 0 (base 10) to base 16 0 -29 (base 10) to base 8 -35 Convert 38 (base 10) to base 13. 2c What is -323 (base 5) in base 10? -88 -3 (base 15) to base 9 -3 What is 34 (base 7) in base 9? 27 Convert -200 (base 4) to base 14. -24 Convert -4 (base 16) to base 11. -4 Convert 0 (base 12) to base 8. 0 Convert 3 (base 16) to base 11. 3 Convert -6 (base 10) to base 13. -6 Convert -22 (base 4) to base 13. -a What is -16 (base 7) in base 13? -10 -3 (base 5) to base 13 -3 -22 (base 4) to base 14 -a 192 (base 14) to base 3 110000 -1 (base 6) to base 16 -1 64 (base 13) to base 14 5c What is 0 (base 3) in base 5? 0 Convert -3 (base 12) to base 16. -3 Convert -2 (base 10) to base 16. -2 Convert 27 (base 10) to base 5. 102 -4 (base 5) to base 6 -4 Convert -1 (base 7) to base 12. -1 -1001 (base 2) to base 3 -100 What is 28 (base 16) in base 11? 37 -1 (base 4) to base 6 -1 -3 (base 9) to base 11 -3 What is -1201 (base 4) in base 3? -10121 Convert -1200 (base 5) to base 11. -14a 0 (base 7) to base 15 0 1121 (base 3) to base 11 3a -2 (base 4) to base 5 -2 What is -31 (base 10) in base 8? -37 -24 (base 10) to base 6 -40 -212 (base 7) to base 3 -10222 What is 11 (base 3) in base 16? 4 Convert 23 (base 14) to base 15. 21 Convert -20 (base 4) to base 5. -13 Convert 1 (base 13) to base 16. 1 -1103 (base 4) to base 5 -313 33 (base 4) to base 7 21 What is -5 (base 13) in base 3? -12 a (base 12) to base 3 101 What is -10 (base 3) in base 6? -3 0 (base 5) to base 11 0 84 (base 13) to base 12 90 Convert 0 (base 6) to base 16. 0 Convert 26 (base 8) to base 9. 24 48 (base 14) to base 11 59 Convert 4 (base 7) to base 9. 4 What is 62 (base 9) in base 11? 51 4 (base 10) to base 12 4 Convert 48 (base 9) to base 6. 112 Convert 1000 (base 2) to base 7. 11 -101 (base 6) to base 10 -37 Convert 366 (base 7) to base 5. 1240 8 (base 12) to base 3 22 Convert 213 (base 4) to base 7. 54 What is 1 (base 6) in base 16? 1 -118 (base 9) to base 7 -200 What is 3e (base 15) in base 11? 54 3 (base 16) to base 12 3 -110 (base 2) to base 15 -6 Convert 44 (base 12) to base 8. 64 Convert 34 (base 5) to base 12. 17 What is -110 (base 3) in base 10? -12 -117 (base 16) to base 2 -100010111 What is 4 (base 11) in base 14? 4 1 (base 14) to base 7 1 Convert 0 (base 9) to base 14. 0 -204 (base 7) to base 11 -93 -21 (base 3) to base 12 -7 What is 100110000 (base 2) in base 15? 154 0 (base 15) to base 4 0 41 (base 13) to base 12 45 What is 5 (base 7) in base 13? 5 10 (base 14) to base 5 24 -35 (base 7) to base 15 -1b What is -3 (base 14) in base 10? -3 What is -7 (base 14) in base 4? -13 0 (base 4) to base 6 0 Convert 142 (base 11) to base 3. 20012 What is 224 (base 5) in base 11? 59 Convert 301 (base 5) to base 13. 5b 20 (base 5) to base 15 a What is 1 (base 12) in base 9? 1 What is 20 (base 7) in base 11? 13 Convert -2a (base 13) to base 5. -121 Convert 33 (base 14) to base 6. 113 Convert 1010 (base 2) to base 5. 20 What is -1 (base 10) in base 7? -1 7 (base 11) to base 5 12 Convert -5 (base 10) to base 2. -101 -10111111 (base 2) to base 14 -d9 Convert 102 (base 4) to base 16. 12 Convert -3 (base 6) to base 5. -3 Convert -1 (base 7) to base 2. -1 -13 (base 5) to base 7 -11 166 (base 10) to base 4 2212 42 (base 6) to base 15 1b Convert 321 (base 4) to base 12. 49 -110100 (base 2) to base 11 -48 What is -2 (base 12) in base 9? -2 Convert -12 (base 5) to base 3. -21 What is 8 (base 12) in base 14? 8 -10021 (base 3) to base 5 -323 Convert 1 (base 2) to base 3. 1 Convert 1 (base 6) to base 16. 1 What is -120
{ "pile_set_name": "DM Mathematics" }
4*m + 26*m + 11856. Let p be m/130 - (-5 + -2). What is the closest to -1 in 0.2, p, 1.8? p Let p = -449.18 + -0.82. Let w = p - -451. Which is the closest to w? (a) 2 (b) -3 (c) -3/2 a Let p = 1754.95 - 1755. Let x be 0 + ((-441)/60 - 3). Let j = -48/5 - x. What is the nearest to -1 in j, -5, p? p Let v be 33/45 - (-6)/(-15). Suppose 12*l = 5*l - 3*l + 50. Which is the nearest to v? (a) 2/15 (b) -2/13 (c) l a Let s = -4805 + 4812. Let j = -27/28 + 5/7. Which is the closest to s? (a) j (b) 3 (c) -4 b Let o = -817 + 820.39. Let u = o + -3.75. Which is the nearest to -1? (a) -1 (b) 0.2 (c) u a Let t = 52.07 - 52.47. Which is the nearest to 2/3? (a) 0.09 (b) t (c) 1.5 a Let g be ((-2)/(-20))/(76/(-64) + 2). Let j = 950/13 - 73. Let v = j + g. What is the closest to v in 0.5, 3, -1/2? 0.5 Suppose n - 4 = -x, -118 = -4*x - n - 120. What is the nearest to -2 in x, -0.006, -0.2? x Let m = -3 + 0. Let w = -20.48 - -20.6415. Let l = w + -0.0615. Which is the nearest to l? (a) 0.5 (b) 1/6 (c) m b Suppose 27*o + 31 = -2*w + 32*o, 0 = 5*w - 2*o + 109. What is the nearest to -1 in -1/85, w, 2? -1/85 Let v = -5423 - -5422.9. Which is the nearest to 2/57? (a) -3/7 (b) 0.07 (c) v b Let u = -0.0415 + -0.0585. Let x = 167 - 166.986. What is the nearest to u in 2/23, x, -0.2? -0.2 Suppose -t - 4 = -8*o + 13*o, -6*o + 16 = -4*t. Which is the nearest to -1/4? (a) 12/19 (b) 4 (c) t a Let t be ((-2)/12 - 546/1260)*(-4)/6. Let j = 0 - -3. Let a = -0.19 + 0.2. What is the closest to t in -4, a, j? a Let i = -9392 - -9394. What is the nearest to 2/45 in i, -3, -2/3, -1/4? -1/4 Let g = -2087 - -2170.7. Let z = g + -84. Which is the closest to -13/4? (a) z (b) -4/3 (c) -0.4 b Suppose 38 = -4*d - 2*a, 0 = 25*d - 26*d + 4*a - 5. What is the nearest to 1 in d, 35, 5? 5 Let n be (272/1020)/((-5 - -1) + (-192)/(-54)). Which is the closest to -12? (a) n (b) -7 (c) -1/3 (d) -1/2 b Let d be (-1)/(-3)*(-18)/4. Let k = -872277/8 + 109035. Let t be ((-1)/(-2))/(2*-1). Which is the nearest to 1? (a) d (b) k (c) t b Let w = 17/18 + -107/126. Let g = -14 + 21.2. Let r = 7 - g. Which is the closest to w? (a) r (b) -1/3 (c) 0.4 a Let w = -54.33 + 50.33. What is the closest to -0.1 in 7/26, 0.5, w? 7/26 Let n = 373 + -376. Let h be 12/(-96) + (n/(-8) - 0). Let k = -4 + 3.7. What is the closest to h in -7, 2/13, k? 2/13 Let q = -25 - -30. Let s = -2.48 + 2.88. Which is the closest to -8/15? (a) q (b) -1/3 (c) s b Let y = 1.7 - 2. Let o = -70591/2 + 35296. Which is the nearest to -0.8? (a) y (b) -2 (c) o a Let p = -3160 - -3159. What is the closest to 56 in -4, p, 5? 5 Let m be (125/10)/5*(48/15 + -2). Which is the nearest to -1? (a) -6 (b) 2/11 (c) -1 (d) m c Suppose 2*a = 5*a - 117. Let p be (-4 + (a/9)/1)*3. Let i be (-273)/(-28)*p*(-8)/3. What is the nearest to 2/7 in i, -0.4, 1/5? 1/5 Let y = -1.3 - -0.3. Let h be ((-2)/(-10))/(1/(-2)). Let g be 2/6 + (-7684)/6780. Which is the closest to -0.1? (a) y (b) g (c) h c Let f = 23 + -19.3. Let o = 3.65 - f. What is the closest to o in 1/3, 1/8, 0.2? 1/8 Let c be 2/17*1 - (-26 - 55468/(-2142)). What is the nearest to c in 0.5, 4, 0.29? 0.29 Let x = 2.9308 - -0.0692. What is the nearest to x in -0.12, 0, -1? 0 Let j = -0.214 + -69.786. Let q = j + 68. What is the nearest to 2/5 in q, 2/3, -3.9? 2/3 Let u be 1 + 2/15*-3. Let s = -15694 + 15688. What is the nearest to u in s, -2/3, 2/5? 2/5 Let x = -0.07 + -0.53. Let z = x - -0.6. Let t be (-153)/(-1530)*(-30)/(-8)*(-4)/3. What is the nearest to t in 1/6, z, 1? z Suppose -2287 = -5*f + 4*g, 0 = f + 4*g + 76 - 543. Let o = f - 3671/8. What is the closest to -1 in -3, 7/2, o? o Let q(y) = -24*y + 859. Let k be q(36). Which is the closest to 0? (a) -0.3 (b) k (c) 4/21 c Suppose 47*j + 3*z - 20 = 42*j, 5*j = -5*z + 30. Which is the nearest to -1/5? (a) j (b) -400 (c) -1/6 c Let s = -302 + 338. Let z be s/(-36)*(-1)/(-5). What is the closest to -2 in -0.3, 0, z? -0.3 Let a = -7 + 2. Let k = -52013 + 52015. What is the closest to 3/35 in 5, k, a? k Let q = -8.7 + 3.5. Let w = q + 7. Let i = 1.7 - w. Which is the closest to i? (a) -1/3 (b) 5 (c) -4 a Let t(u) = 16*u**2 + 14*u. Let v(k) = -9*k - 64. Let y be v(-7). Let x be t(y). Which is the closest to x? (a) -0.3 (b) 3/2 (c) 0.5 (d) 13 b Let r = -130 - -129.53. Let l = 1.53 - r. Which is the nearest to 2? (a) -1 (b) l (c) 3 b Let s = -0.76 + 75.66. Let i = -74.8 + s. What is the nearest to i in -5/7, 0.12, -1/6? 0.12 Let t = -2014.1 - -2014. Let v be (1 - -1)*((-124)/12 + 10). What is the nearest to -0.1 in t, 1.5, 1/6, v? t Suppose -2*j - 2*j = 7*j. Let f be ((-44)/77)/(j - 1). Which is the nearest to -1/7? (a) f (b) -3 (c) -2/15 (d) 0.1 c Let d be 1236/(-9270) + (-38)/(-510). What is the closest to 1/3 in 1/3, d, -0.6? 1/3 Suppose 3*r - 2053667 = -2*o, -r + 2053663 = 2*r - 2*o. Let i = r + -8894767/13. Let a = i + -342. What is the closest to 1 in -2, a, 3/4? 3/4 Let n = 136 - 135.6. Let h = 10.9 - 12.9. Which is the closest to 4? (a) n (b) 3/7 (c) h b Let o = 52 - 56. Let d = -43 - -74. Let j = -30.9 + d. Which is the nearest to j? (a) -2 (b) o (c) -0.4 c Let b(u) = -162*u + 981. Let f be b(6). What is the nearest to 0 in -4, f, -56? -4 Let i = -3902 + 3579. What is the closest to -2/7 in i, -1/3, 3, 0.5? -1/3 Let n be 3/5*1 + -1. Let u be (80/(-132))/((-3)/18*-2) + 2. Let p(m) = m**2 - 4*m + 5. Let h be p(2). Which is the closest to -0.1? (a) n (b) u (c) h b Suppose 22*i + 2521 - 2499 = 0. What is the nearest to i in -2/3, -4, -0.3, 18? -2/3 Let q be (-85)/(-1683) + (-3)/11. Which is the nearest to q? (a) -0.9 (b) 2/5 (c) -8 b Let v = 7/8 + -65/56. Which is the closest to -0.5? (a) -0.3 (b) v (c) 0.2 a Let f = -36 + 36.122. Let n = 0.178 + f. Which is the nearest to 1? (a) 0 (b) n (c) -1 b Let p = 0.2164 - 0.1264. Let f = -226 + 228. Which is the nearest to f? (a) p (b) -2/9 (c) -1/4 a Let m(t) = 2*t**3 + 12*t**2 - 13*t + 7. Let g be m(-7). Let b be ((-64)/(-48))/(g/(-1) + -2). What is the nearest to b in -45, -2, -0.3? -0.3 Suppose -4*i = -2*p - 0*i + 1038, 0 = -3*p - 4*i + 1557. Let y = p + -3121/6. What is the closest to 1 in 5, -0.4, y? -0.4 Let n be 14/(-84) - -1*10/12. Let s(o) = o + 4. Let y be s(-3). Let l be (y/(-2))/(6/96). Which is the nearest to -0.1? (a) 2/7 (b) n (c) l a Let o = 179 + -538/3. Let i = 7 - 13/2. Suppose 16*s - 74*s = 174. What is the closest to -3 in i, o, s? s Let g = -83.98 - -84.08. Let f = -0.1 + 0.09. Let n = 3 + -4. What is the nearest to g in n, 3, f? f Let t = 41 + -29. Let u = 9 - t. Let w = u + 2.9. What is the closest to w in -8/5, -0.3, 2? -0.3 Let q be (-13)/65*25/(-15)*(-3)/(-23). What is the nearest to 2/3 in 4, 0.2, -5, q? 0.2 Let m be ((-1 + 1)/2)/2. Suppose 4*v - 15 + 55 = m. Let j be (5/v)/(-1) - 0. Which is the closest to -4? (a) j (b) -0.2 (c) 2/3 b Let f be (190 - 191)*(0 + 1)*-1. Which is the closest to f? (a) 75 (b) -0.06 (c) -2/9 b Let z be (-1)/(1 - 5 - -5). Let m be 1/(-15)*(-1290)/172. Which is the nearest to -2/7? (a) z (b) m (c) -3 a Let y(r) = -2*r**3 - 2*r**2 - r. Let v be y(-1). Suppose -13 + v = 6*p. Let c be p - -3*(-1)/(-3). What is the nearest to 0 in 4, c, 0? 0 Let w = -1129 - -308. Let k = 823 + w. Suppose -y = u - 7, -3*u + 27 = 5*y - 0*y. Which is the nearest to k? (a) u (b) 0.3 (c) -9 b Suppose -18*c + 103 = 157. What is the nearest to -0.04 in 0.4, c, 14? 0.4 Let q = -152.907 - 0.093. Let w = q - -152.9. Which is the nearest to 1/4? (a) w (b) 1 (c) 3 a Let q = -385.2 + 385.1. Which is the closest to -2/7? (a) 101 (b) -5/3 (c) q (d) 3 c Let t = 166 + -165.9. Which is the closest to -15? (a) t (b) -1 (c) 49 b Let q = 272 + -271.81. Let o = q + -0.09. Which is the closest to o? (a) 2 (b) -0.2 (c) -0.5 b Let s = -1494 + 1497. Which is the nearest to 0.1? (a) 15 (b) -1/4 (c) s (d) 2 b Let s = -47 + 47. Let m be (6 - 3) + s - 141/3. Let g = m + 87/2. Which is the closest to g? (a) 3/2 (b) -1.4 (c) 2/13 c Let h = -268.1 - -268. Let z(l) = -l**3 - l**2 - 36. Let g be z(0). Let x = g - -178/5. Which is the closest to x? (a) -5 (b) h (c) 1 b Let j be (0 - (-4)/(-22))/(-1). Let u = -0.1 - 0. Let i = -807557.1 + 807557. What is the nearest to u in 4, j, i?
{ "pile_set_name": "DM Mathematics" }
4*g - 4*f - 6. Factor -3/4*t**g + 0*t + 3/4. -3*(t - 1)*(t + 1)/4 Suppose 5*m + 200 = 50. Let j be (-3)/(-5) - (-6)/m. Factor 4/5 - j*n - 2/5*n**2. -2*(n - 1)*(n + 2)/5 Let s(x) be the first derivative of 7*x**5/25 + 3*x**4/5 + x**3/5 - x**2/5 + 42. Factor s(y). y*(y + 1)**2*(7*y - 2)/5 Let f(x) be the second derivative of -21/4*x**4 - x - 3*x**2 + 0 + 13/2*x**3. Let f(l) = 0. What is l? 2/7, 1/3 Let w(t) be the third derivative of 5*t**8/336 - t**7/21 + t**6/24 - 4*t**2. Find b, given that w(b) = 0. 0, 1 Factor -2/3*b**2 + 2/3*b + 4/3. -2*(b - 2)*(b + 1)/3 Let p = 35/2 - 17. Determine g, given that 1/4 + p*g + 1/4*g**2 = 0. -1 Let r(s) be the first derivative of -1/20*s**4 + 2/5*s - 2 - 2/15*s**3 + 1/10*s**2. Factor r(x). -(x - 1)*(x + 1)*(x + 2)/5 Let i(h) be the first derivative of 3 + 0*h + 2/3*h**3 + 14/25*h**5 - 1/5*h**2 - 9/10*h**4 - 2/15*h**6. Suppose i(g) = 0. What is g? 0, 1/2, 1 Let z be (-93)/(-7) - 2/7. Solve -18*f**4 - z*f**5 - f**3 - 3*f**3 - f**5 = 0. -1, -2/7, 0 Suppose -1 = -4*n + 7. Determine i so that -i**3 + 4*i**4 - 17*i**n + 17*i**2 - 2*i**5 - i**5 = 0. 0, 1/3, 1 Let b(u) be the second derivative of -u**7/735 + u**6/420 + u**5/210 - u**4/84 - u**2/2 + 2*u. Let i(t) be the first derivative of b(t). Factor i(s). -2*s*(s - 1)**2*(s + 1)/7 Let k(a) be the second derivative of a**5/5 + 2*a**4/3 - 8*a**3/3 - 16*a**2 - 11*a. Determine g, given that k(g) = 0. -2, 2 Let d(z) = 4*z**4 + 8*z**3 - z**2 + 2*z + 7. Let j(c) = c**4 + c**3 + c + 1. Suppose -3*s - a = -4*s + 3, -4*a + 8 = 0. Let r(h) = s*j(h) - d(h). Factor r(o). (o - 2)*(o - 1)**2*(o + 1) Let w(b) = -b**2 - 9*b + 12. Let s be w(-10). Factor c**2 + 0*c**s + c - c**2 + c**2. c*(c + 1) Let i(y) = -5*y**2 - 2*y + 3. Let u be i(2). Let j = -11 - u. Factor 4*x**4 - j*x**3 - x**5 + 10*x**2 - 4*x + x**4 + 1 - x. -(x - 1)**5 Let q(n) be the third derivative of 1/315*n**7 - 5*n**2 + 0*n**3 + 0*n**5 + 0*n + 0 + 1/180*n**6 + 0*n**4. Factor q(w). 2*w**3*(w + 1)/3 Let r(n) = 7*n**4 - 9*n**3 - 5*n**2 - 5. Let k(p) = -p**4 + 1. Let o(x) = -5*k(x) - r(x). Solve o(z) = 0. -1/2, 0, 5 Let f(v) = v**3 + 8*v**2 + 3. Let t be (-7)/((-63)/24)*-3. Let n be f(t). Factor -4/5*h**2 - 2/5*h - 2/5*h**n + 0. -2*h*(h + 1)**2/5 Let v(y) be the third derivative of -y**7/525 + y**6/75 - 2*y**5/75 + 3*y**2 + 2. Let v(u) = 0. Calculate u. 0, 2 Let p(s) be the third derivative of 1/108*s**4 + 0*s - 2*s**2 + 0*s**3 + 1/135*s**5 + 1/540*s**6 + 0. Let p(c) = 0. What is c? -1, 0 Let o(a) be the second derivative of -a**5/100 + a**4/15 - a**3/6 + a**2/5 + 37*a. Factor o(f). -(f - 2)*(f - 1)**2/5 Determine k so that -8/3 - 4/3*k**2 - 4*k = 0. -2, -1 Suppose 3*s - s - 4 = 0. Let y(t) = 1. Let g(w) = 14*w**2 - 32*w + 10. Let x(p) = s*y(p) - g(p). Factor x(d). -2*(d - 2)*(7*d - 2) Let a = -4 + 4. Let q(h) be the third derivative of -2*h**2 - 1/240*h**6 + a + 0*h + 1/48*h**4 - 1/12*h**3 + 1/120*h**5. Let q(r) = 0. What is r? -1, 1 Let v = -19 + 25. Solve -2 + 4*g**5 + 4 + 6 + v*g**4 - 19*g**3 - 26*g**2 + 3*g**3 = 0. -2, -1, 1/2, 2 Let p(u) = -8*u - 40. Let a be p(-5). Let w(j) be the second derivative of 4/105*j**6 + 9/70*j**5 + 0 - 3*j + 1/7*j**4 + 1/21*j**3 + a*j**2. Factor w(c). 2*c*(c + 1)**2*(4*c + 1)/7 Let f(b) = 10*b**5 + b**4 + 2*b**3 - b**2. Let j(k) = -19*k**5 - 3*k**4 - 4*k**3 + 2*k**2. Let m(n) = -11*f(n) - 6*j(n). Factor m(y). y**2*(y + 1)**2*(4*y - 1) Let t be (3 + -9)/((-3)/(-3)). Let n be (t/2)/(84/(-32)). Factor 10/7*w + 2/7*w**3 + n*w**2 + 4/7. 2*(w + 1)**2*(w + 2)/7 Let v(k) be the first derivative of k**6/10 - 3*k**5/10 + k**3 - 3*k**2/2 - k - 4. Let l(w) be the first derivative of v(w). Factor l(i). 3*(i - 1)**3*(i + 1) Let j(u) be the first derivative of -4*u**5/45 + u**4/3 + 8*u**3/9 - 56*u**2/9 + 32*u/3 - 61. Determine z, given that j(z) = 0. -3, 2 Let w be ((-36)/280 - 3/(-15))*8. Solve -2/7*m**2 - 2/7 + w*m = 0. 1 Let t(d) be the second derivative of -d**6/120 - d**5/20 - d**4/12 - 2*d**2 + 3*d. Let u(c) be the first derivative of t(c). Suppose u(q) = 0. What is q? -2, -1, 0 Let l(v) be the third derivative of -v**7/2520 + v**5/120 - v**4/12 + 4*v**2. Let x(r) be the second derivative of l(r). Solve x(b) = 0. -1, 1 Factor 2/7*k**2 - 4/21*k + 0. 2*k*(3*k - 2)/21 Let v(r) be the first derivative of -19*r**4/22 - 80*r**3/33 - 23*r**2/11 - 4*r/11 + 42. Determine x so that v(x) = 0. -1, -2/19 Suppose -4*f + 20 = 2*q, -3*f + 15 = -4*q - q. Factor j**4 + 3*j**5 + 3*j**3 - 7*j**4 - j**5 + j**f. 3*j**3*(j - 1)**2 Suppose -2*g = 2*g. Let p be (0 + (-1)/(-2))*g. Factor -k**2 + k + p*k**2 + 2*k**2. k*(k + 1) Let m(d) = -d**3 + 7*d**2 - 4*d. Let p(h) = h**3 - 6*h**2 + 3*h. Let x(b) = 5*m(b) + 6*p(b). Determine k, given that x(k) = 0. -1, 0, 2 Let a(i) = 4*i - 9. Let w be a(6). Suppose -2*k = -115 + w. Factor 34*v**2 + k*v**5 + 8*v + 138*v**3 - 35*v**2 - 140*v**4 - 55*v**2. 2*v*(v - 1)**2*(5*v - 2)**2 Suppose -4*h - 4 = -5*m, 3*h - m = 2*m. Factor 6*p - 4 - 6*p**3 + p**2 + p**2 + 2*p**h + 0. 2*(p - 2)*(p - 1)**2*(p + 1) Suppose 24/5*b**4 - 3/5*b - 3*b**2 + 3/5*b**3 + 12/5*b**5 + 3/5 = 0. Calculate b. -1, 1/2 Let s(c) be the third derivative of c**6/300 - 2*c**5/25 + 4*c**4/5 - 64*c**3/15 + 3*c**2. Factor s(a). 2*(a - 4)**3/5 Let c(f) = -5*f**3 + f**2 - 1. Let o be c(-1). Solve r - 2 + 0*r - o*r - 2*r**2 = 0. -1 Factor 151*n + 50*n**3 - 22*n - 94 - 5*n**4 - 180*n**2 + 141*n - 41. -5*(n - 3)**3*(n - 1) Let n(z) be the third derivative of z**7/525 + z**6/100 + z**5/75 + 11*z**2. Solve n(r) = 0 for r. -2, -1, 0 Let u(k) = 20*k**3 - 60*k - 40. Let f(b) = 4*b**3 - 12*b - 8. Let v(q) = -16*f(q) + 3*u(q). Let v(m) = 0. What is m? -1, 2 Let n = 9 - 6. Let 4 + 8*v**2 - n + 2*v + 3 - 20*v = 0. What is v? 1/4, 2 Let d(i) be the third derivative of i**5/60 - i**4/12 - 4*i**3/3 - 21*i**2. Determine t, given that d(t) = 0. -2, 4 Let n(t) be the third derivative of -7*t**6/30 + 2*t**5 - 6*t**4 + 16*t**3/3 - 9*t**2. Solve n(w) = 0. 2/7, 2 Let v(z) be the second derivative of z**3/6 - z**2 + 2*z. Let j be v(4). What is i in -2*i**3 + 7*i**4 - 2*i**4 - 2*i**j + 2*i**5 - 3*i**4 = 0? -1, 0, 1 Let k be (-10)/((2 - 2) + -2). Factor 8*s**4 - 2*s**4 - 35*s**2 - 3*s**k + 29*s**2 + 3*s. -3*s*(s - 1)**3*(s + 1) Let z(s) be the third derivative of -s**8/35280 - s**7/7056 - s**6/5040 - s**5/10 - 5*s**2. Let u(k) be the third derivative of z(k). Factor u(b). -(b + 1)*(4*b + 1)/7 Factor 4/9*s**3 + 0 - 14/9*s**2 + 2/3*s. 2*s*(s - 3)*(2*s - 1)/9 Suppose -5*r + v = -6*r, 6 = -3*v. Let u(s) be the second derivative of s**3 - 1/4*s**4 + 0*s**2 + r*s + 0 - 3/20*s**5. Find m such that u(m) = 0. -2, 0, 1 Let g(f) be the second derivative of f**5/60 + f**4/24 - f**3/3 - f**2/2 - f. Let r(t) be the first derivative of g(t). Factor r(d). (d - 1)*(d + 2) Let s(j) = 17*j**3 + 21*j**2 + 6*j + 2. Let o(i) = 35*i**3 + 42*i**2 + 12*i + 5. Let u(y) = -2*o(y) + 5*s(y). Factor u(l). 3*l*(l + 1)*(5*l + 2) Let s be (0/(-2 - -4))/(-3). Let p(h) be the third derivative of 0*h**4 - 2*h**2 + 1/180*h**5 + 0 + 1/120*h**6 + s*h + 0*h**3. Factor p(j). j**2*(3*j + 1)/3 Let k(l) be the second derivative of 2*l**7/231 + l**6/33 + 3*l**5/110 - l**4/66 - l**3/33 + 18*l. What is w in k(w) = 0? -1, 0, 1/2 Suppose -4*c = 5*g - 70, c + 6 = -2*g + 25. Let x be -5 - -7 - 27/c. Find i, given that -x*i**2 + 0 - 1/5*i = 0. -1, 0 Let p(f) be the second derivative of f**6/40 - 9*f**5/80 - f**4/16 + 3*f**3/8 - 14*f. What is l in p(l) = 0? -1, 0, 1, 3 Let i(l) = -l + 1. Let o be i(-2). Let v = o - -2. Factor 5 + 2*y**3 - v. 2*y**3 Let s(c) be the third derivative of 0*c - 1/135*c**6 - 1/18*c**4 - 1/20*c**5 + 1/6*c**3 - 3*c**2 + 0. Let y(h) be the first derivative of s(h). Factor y(w). -2*(w + 2)*(4*w + 1)/3 Let y be 2/7 - (-38)/14. Let x be y + -3 + 1*2. Determine w so that -2*w**2 - 4 - 2*w + 2 - x*w = 0. -1 Suppose 0*j**2 + 0*j + 0 + 2/9*j**3 - 2/9*j**4 = 0. Calculate j. 0, 1 Suppose 0 = -5*h - 5*q, -q - 17 + 5 = -3*h. Find v, given that 22/9*v**h + 0 - 10/9*v**4 + 2/9*v - 14/9*v**2 = 0. 0, 1/5, 1 Suppose -5*s + 119 = 37*o - 34*o, -5*o - 4*s = -220. Suppose 456/5*i**4 - 84/5*i**2 + o*i**5 + 159/5*i**3 + 6/5 - 21/5*i = 0. Calculate i. -1, -2/5, 1/4 Let g(p) = -p + 1 - 1. Let w be g(-3). Solve -f - f**2 + f**3 + w + 2*f**2 - 4 = 0 for f. -1, 1 Let s(n) = 4*n - 24. Let i(c) = 7*c
{ "pile_set_name": "DM Mathematics" }
727067577600000000 How many minutes are there in fifty-five quarters of a day? 19800 How many millimeters are there in one tenth of a meter? 100 How many millilitres are there in 11/10 of a litre? 1100 Convert 5173.089 microseconds to minutes. 0.00008621815 What is 3/16 of a centimeter in micrometers? 1875 How many milligrams are there in 6731.927 micrograms? 6.731927 What is 5/8 of a litre in millilitres? 625 What is 23/6 of a week in hours? 644 How many seconds are there in 32/5 of a minute? 384 How many centimeters are there in 615.6438 meters? 61564.38 Convert 6.998076 milligrams to tonnes. 0.000000006998076 How many days are there in 492840.9 hours? 20535.0375 What is 951.3117 minutes in microseconds? 57078702000 How many millilitres are there in 6/5 of a litre? 1200 How many millilitres are there in 9.508166 litres? 9508.166 How many meters are there in 44.8304 nanometers? 0.0000000448304 What is 787087.3 litres in millilitres? 787087300 What is 25788.87l in millilitres? 25788870 What is thirteen quarters of a litre in millilitres? 3250 Convert 977.4013 millilitres to litres. 0.9774013 What is 15365.89l in millilitres? 15365890 How many milligrams are there in 0.3847985 tonnes? 384798500 Convert 8.70386 kilograms to tonnes. 0.00870386 How many millimeters are there in 151.4929 meters? 151492.9 What is 3/5 of a kilometer in centimeters? 60000 How many litres are there in 901.8138ml? 0.9018138 What is 267.1505 micrograms in tonnes? 0.0000000002671505 What is 444486.7g in nanograms? 444486700000000 What is 591.248cm in kilometers? 0.00591248 How many meters are there in 0.9452212mm? 0.0009452212 What is 0.1260501 decades in centuries? 0.01260501 Convert 9298.32 centuries to months. 11157984 How many years are there in 3.401734 decades? 34.01734 How many milliseconds are there in five quarters of a second? 1250 How many millilitres are there in 49780.04 litres? 49780040 What is 1/20 of a meter in millimeters? 50 How many tonnes are there in 3143.853 micrograms? 0.000000003143853 How many nanograms are there in five quarters of a microgram? 1250 Convert 7.714515 tonnes to grams. 7714515 How many millilitres are there in sixty-four fifths of a litre? 12800 Convert 8032.419 meters to nanometers. 8032419000000 Convert 96366.72 centuries to months. 115640064 How many days are there in 10.8525258s? 0.0001256079375 What is seventy-one quarters of a microgram in nanograms? 17750 Convert 4.453559l to millilitres. 4453.559 Convert 94587.55 litres to millilitres. 94587550 How many millilitres are there in three tenths of a litre? 300 How many months are there in 13/4 of a millennium? 39000 What is 5727.781 millennia in months? 68733372 Convert 1.38092 micrograms to nanograms. 1380.92 How many months are there in thirty-seven fifths of a century? 8880 What is seven sixths of a decade in months? 140 Convert 1127010.402us to weeks. 0.000001863443125 What is 45/8 of a microsecond in nanoseconds? 5625 How many milligrams are there in 2.497564g? 2497.564 What is 0.3001255 tonnes in milligrams? 300125500 How many micrometers are there in three fifths of a millimeter? 600 How many months are there in 1/6 of a decade? 20 What is 3/8 of a century in months? 450 What is 1.2221544s in minutes? 0.02036924 What is 7/4 of a microgram in nanograms? 1750 What is 857.6573 litres in millilitres? 857657.3 Convert 89.07414ml to litres. 0.08907414 How many hours are there in 293563.98s? 81.54555 How many millilitres are there in 1/4 of a litre? 250 What is 51.9683 millilitres in litres? 0.0519683 How many microseconds are there in 1/5 of a millisecond? 200 How many months are there in 4434.476 centuries? 5321371.2 What is thirty-two fifths of a litre in millilitres? 6400 What is 3/5 of a kilogram in grams? 600 How many nanograms are there in eleven quarters of a microgram? 2750 What is 9.687559 minutes in microseconds? 581253540 What is 46/5 of a litre in millilitres? 9200 How many millilitres are there in 9.347565l? 9347.565 What is 5691.3 centuries in millennia? 569.13 How many meters are there in 17.44853 millimeters? 0.01744853 What is 5688.427kg in grams? 5688427 What is 67.23508 decades in centuries? 6.723508 Convert 3.61862 nanometers to centimeters. 0.000000361862 What is fourty-three halves of a meter in millimeters? 21500 What is 0.1763578 millennia in decades? 17.63578 How many decades are there in 24439.164 months? 203.6597 What is 1/5 of a second in milliseconds? 200 How many litres are there in 46771.9ml? 46.7719 What is 369.1245ng in micrograms? 0.3691245 How many years are there in 974819.7 decades? 9748197 How many millilitres are there in 51/4 of a litre? 12750 What is twenty-nine fifths of a tonne in kilograms? 5800 What is 1775.45 hours in nanoseconds? 6391620000000000 What is 27/5 of a millimeter in micrometers? 5400 Convert 1203.232 litres to millilitres. 1203232 How many months are there in 17/6 of a millennium? 34000 How many months are there in 320846.3 decades? 38501556 What is 0.3002333 decades in millennia? 0.003002333 How many micrometers are there in 9699.154cm? 96991540 How many micrometers are there in 1/10 of a millimeter? 100 What is 3/5 of a kilometer in centimeters? 60000 What is 5/8 of a kilometer in meters? 625 What is 141.8151861 microseconds in weeks? 0.00000000023448278125 How many nanometers are there in 27/5 of a micrometer? 5400 How many months are there in 26/5 of a millennium? 62400 What is six fifths of a week in minutes? 12096 How many milligrams are there in 0.9073538ng? 0.0000009073538 What is fifty-four fifths of a decade in years? 108 What is 41/2 of a meter in millimeters? 20500 How many minutes are there in 25.90626us? 0.000000431771 How many centuries are there in 998.2792 millennia? 9982.792 What is twenty-seven quarters of a tonne in kilograms? 6750 How many minutes are there in four fifteenths of a day? 384 Convert 572366.5 litres to millilitres. 572366500 What is seven eighths of a hour in seconds? 3150 How many minutes are there in eleven halves of a hour? 330 How many millimeters are there in 21/4 of a meter? 5250 How many nanometers are there in 27/5 of a micrometer? 5400 How many litres are there in 599784.1 millilitres? 599.7841 What is 15/4 of a meter in centimeters? 375 How many millimeters are there in 3/50 of a meter? 60 What is 1028886.6 months in millennia? 85.74055 What is 588043.5ms in nanoseconds? 588043500000 How many months are there in 1/20 of a millennium? 600 How many milligrams are there in three fifths of a gram? 600 How many grams are there in 7.158174mg? 0.007158174 Convert 762444.6 years to millennia. 762.4446 Convert 366.9825 hours to seconds. 1321137 What is five quarters of a microgram in nanograms? 1250 What is 25.56206 years in centuries? 0.2556206 What is 0.017181 millimeters in meters? 0.000017181 What is 21/8 of a tonne in kilograms? 2625 What is 1/5 of a milligram in micrograms? 200 How many minutes are there in 28/9 of a day? 4480 What is 7/2 of a kilogram in grams? 3500 How many kilograms are there in thirty-three tenths of a tonne? 3300 Convert 5216.888m to micrometers. 5216888000 How many millimeters are there in fifty-three fifths of a meter? 10600 How many grams are there in 19423.15ng? 0.00001942315 What is 3/10 of a century in years? 30 What is thirty-four fifths of a second in milliseconds? 6800 Convert 660.6572 kilograms to milligrams. 660657200 What is 3/8 of a litre in millilitres? 375 What is 27842.29ng in grams? 0.00002784229 Convert 52.7769ng to milligrams. 0.0000527769 How many micrograms are there in 47.8377 grams? 47837700 What is 996.0007l in millilitres? 996000.7 How many litres are there in 91498.06ml? 91.49806 Convert 2652.984 centuries to decades. 26529.84 How many nanograms are there in 3/25 of a microgram? 120 How many micrograms are there in 344.7393 kilograms? 344739300000 What is 918.28053 nanoseconds in days? 0.000000000010628246875 How many seconds are there in 16/15 of a day? 92160 How many hours are there in 18460.107s? 5.1278075 How many months are there in two fifteenths of a millennium? 1600 How many grams are there in twenty-seven fifths of a kilogram? 5400 How many milliseconds are there in 745.2419 weeks? 450722301120 How many days are there
{ "pile_set_name": "DM Mathematics" }
e of 1/120*h**6 + 0*h + 0*h**4 + 0 - 1/3*h**k + 6*h**2 + 0*h**5. Find the first derivative of d(r) wrt r. 3*r**2 Let k(c) be the third derivative of c**9/168 - 2*c**7/105 + 2*c**5 - 875*c**2. Find the third derivative of k(q) wrt q. 360*q**3 - 96*q Let k(q) be the third derivative of -23*q**6/60 + q**5/3 - 7*q**4/24 - 155*q**2. What is the third derivative of k(s) wrt s? -276 Suppose -6 = -3*g + 12. What is the third derivative of 4*h**2 + g*h**6 + 2*h**6 + 7*h**2 wrt h? 960*h**3 Find the second derivative of 43*n**3 + 2*n + 75*n - 20*n**3 + 41*n**3 wrt n. 384*n Find the third derivative of 0*u**4 + 3*u**4 - 17*u**3 + 68*u - 4*u**4 - 75*u**2 - 68*u wrt u. -24*u - 102 Let p be (-238)/(-70) + 4/(-10). Find the first derivative of -7 - 19 + 13 - 15*k**p wrt k. -45*k**2 Suppose t = 4*q - 4 + 1, -3*q + t + 1 = 0. Differentiate 4*k - 23*k**q - 2 - 22 - 4*k wrt k. -46*k Let y = 143 + -141. Find the third derivative of -t**2 - 5*t**6 + y*t**2 - 5*t**2 + 10*t**6 wrt t. 600*t**3 Let a(m) = m**2 + m - 18. Let r be a(0). Let j be 1/3 + r/(-27). Differentiate 4*b**3 + 4 - b**3 - j wrt b. 9*b**2 Let s(z) be the second derivative of -191*z**6/15 + 201*z**2/2 + 2*z - 35. Differentiate s(v) wrt v. -1528*v**3 Let t(m) be the second derivative of 0*m**3 + 14/15*m**6 + 0*m**2 + 29/12*m**4 + 36*m + 0*m**5 + 0. What is the third derivative of t(j) wrt j? 672*j Let z = 19 - 15. Suppose 2 - 14 = -z*d. What is the third derivative of 20 - 5*v**2 - 20 - 2*v**d wrt v? -12 Find the first derivative of 26*g - 208*g**4 + 28*g - 79*g + 127 + 25*g wrt g. -832*g**3 Let x(y) = 561*y**3 + 9*y**2 + 57*y - 23. Let a(n) = -281*n**3 - 5*n**2 - 30*n + 12. Let o(d) = -11*a(d) - 6*x(d). Find the second derivative of o(h) wrt h. -1650*h + 2 Let c(g) be the first derivative of 11*g**7/210 - g**5/20 + 6*g**2 - 12. Let k(y) be the second derivative of c(y). What is the third derivative of k(o) wrt o? 264*o Let x(g) be the first derivative of 2*g**6/15 - 31*g**2/2 + 14*g - 26. Let z(k) be the first derivative of x(k). Differentiate z(w) wrt w. 16*w**3 Let f(i) = -i**4 + 2*i**2 + i - 1. Let k(r) = -479*r**4 + 12*r**2 + 277*r - 6. Let b(s) = 6*f(s) - k(s). Find the second derivative of b(o) wrt o. 5676*o**2 Let s(g) be the first derivative of 0*g + 10 + 0*g**2 + 13/3*g**3 - 5/6*g**6 + 0*g**5 + 0*g**4. Find the third derivative of s(t) wrt t. -300*t**2 Find the third derivative of -2*w**4 + 92*w**5 + 3*w + w**2 + 2*w**2 - 102*w**5 wrt w. -600*w**2 - 48*w Let s(t) = 118*t - 155. Let y(i) = -6*i**3 - i**2 + 1. Let k be y(1). Let w(b) = -39*b + 52. Let a(d) = k*s(d) - 17*w(d). What is the derivative of a(n) wrt n? -45 Find the third derivative of 479*i**5 - 3229*i**3 + 91*i**2 + 3229*i**3 wrt i. 28740*i**2 Let j(d) = d - 10. Let a be j(9). Let c be (-6)/(1 - 3) + a. What is the second derivative of -3*p + 5*p**4 + 24*p**2 - 24*p**c wrt p? 60*p**2 Let i(r) be the first derivative of -r**6/2 - 2*r**4 - 59*r**2 - r - 195. What is the second derivative of i(o) wrt o? -60*o**3 - 48*o Let c = 27 + -21. Find the third derivative of -s**6 - 6*s**c + 2*s**2 + 28*s**2 wrt s. -840*s**3 Let n(j) be the second derivative of -23*j + 13/30*j**6 + 0 + 0*j**4 + 4/3*j**3 + 0*j**2 + 0*j**5. What is the second derivative of n(m) wrt m? 156*m**2 Find the first derivative of -17*c + 26*c + 175 - 9*c - 55*c**2 wrt c. -110*c Let f(v) = -748*v**2 - 4*v - 411. Let a(q) = -499*q**2 - 3*q - 274. Let g(m) = 7*a(m) - 5*f(m). Find the first derivative of g(n) wrt n. 494*n - 1 Suppose 11*z - 19 = 58. Let p(k) = -k**2 - k + 4. Let w be p(0). What is the derivative of -1 + 2 + z*s**2 + w wrt s? 14*s Suppose 7*o - 7 = 7. What is the second derivative of -4 + 46*g - 38*g + 4 + 11*g**o wrt g? 22 Suppose 7 - 27 = -5*t. Let w(c) be the second derivative of 3/2*c**2 + 1/12*c**t + 0 - 7*c + 0*c**3. What is the first derivative of w(a) wrt a? 2*a Let f(s) be the third derivative of -s**8/168 - 143*s**6/120 - s**5/30 - 109*s**4/12 - 120*s**2. Find the third derivative of f(c) wrt c. -120*c**2 - 858 Let x be 2/11 - (-322)/(-77). Let f = -4 - x. Find the third derivative of f*u**6 - 4*u**2 + 3*u**2 + 3*u**2 + 3*u**6 wrt u. 360*u**3 What is the second derivative of -54*u - 360*u**3 + 2 + 360*u**3 + 40*u**4 wrt u? 480*u**2 Let x(n) be the third derivative of 179*n**4/12 - 259*n**3/6 + 2*n**2 - 125. What is the derivative of x(j) wrt j? 358 Let w(t) = -t**3 - 9*t**2 - t - 6. Let f be w(-9). Suppose 0 = f*g + v + 2, 5*v + 8 = -4*g + v. Find the first derivative of g + 1 + a**4 + 3 - 7 wrt a. 4*a**3 Let j(m) be the third derivative of -7/24*m**4 + 0*m + 4*m**2 + 0 + 1/3*m**3. What is the first derivative of j(r) wrt r? -7 Let y(n) be the third derivative of 41*n**6/60 + 19*n**5/30 - 14*n**2 + 2. Find the third derivative of y(c) wrt c. 492 Let v(r) = 5*r - 26. Let d be v(6). Differentiate -8*l**4 + 3*l**d - 2*l**4 - 8 + 4 wrt l. -28*l**3 Let f = 36 + -21. Let c = -12 + f. What is the second derivative of 4*i**c + i**3 - 3*i + 0*i**3 wrt i? 30*i Let i(d) be the third derivative of -62*d**7/105 + 109*d**4/24 + d**2 + 10*d. Find the second derivative of i(q) wrt q. -1488*q**2 Let a(f) be the second derivative of 73*f**8/28 + 29*f**4/12 - f**3/2 - 2*f - 114. Find the third derivative of a(c) wrt c. 17520*c**3 Suppose -11*w - 6 = -14*w. What is the third derivative of -5*n**w + 9*n**3 - 1 + n**3 + 1 wrt n? 60 Suppose a = 5*g - 37, -3*a + 13 = 3*g - 20. Suppose -607*p = -605*p - 4. Differentiate -33*f - f**2 + 33*f - f**p + g wrt f. -4*f Let i(w) be the second derivative of -7*w**4/8 + 17*w**3/6 - 11*w**2/2 + 35*w. Let g(z) be the first derivative of i(z). Differentiate g(u) with respect to u. -21 Let r be -254*(-14)/105 - (-4)/30. Find the third derivative of 0*x**2 - r*x**3 - 3*x**2 + 13*x**2 + 6*x**2 wrt x. -204 Suppose -2*p + 24 = p. Suppose -3*g - 2*k = -1, 2*g - k - 22 = 3*k. Differentiate -3*c**3 + p + 2*c**g - 2 with respect to c. -3*c**2 Let v(y) be the first derivative of -2*y**6 + 8*y**3/3 + 190*y**2 + 125. Find the second derivative of v(q) wrt q. -240*q**3 + 16 Let o(j) be the first derivative of 351*j**4/4 - j**2 + 210*j - 52. Find the second derivative of o(h) wrt h. 2106*h What is the second derivative of -9*a + 1 - 290*a**2 - 2 + 31*a + 29*a + 13*a wrt a? -580 Let l = -56 - -65. What is the derivative of 7 + 19*m**3 - l*m**3 + 11 wrt m? 30*m**2 Suppose -39 = -3*l - 0*l. Find the first derivative of -44 - 29*n**2 - 39*n**2 + 15*n**2 + l*n**2 wrt n. -80*n Let b be (-16)/(-12)*(-18)/4. Let v(i) = -26*i**4 + 13*i + 7. Let d(y) = -13*y**4 + 6*y + 4. Let z(w) = b*v(w) + 13*d(w). What is the derivative of z(n) wrt n? -52*n**3 Let z be (-35)/(-5)*6/14. Find the second derivative of -z*g + 76 - 10*g**3 - 76 wrt g. -60*g Let b be 1 + (-2)/(2/11). Let w be (-15)/b*(-2)/(-3). What is the first derivative of -q**2 + 4 + 5 - w wrt q? -2*q Let u(n) be the first derivative of -15*n**4/4 + 5*n**3/2 - 34*n - 18. Let h(b) be the first derivative of u(b). What is the second derivative of h(v) wrt v? -90 Suppose 4*k = 8*k - 844. Let h be 210/49 + (-4)/14. Differentiate -k*c**2 - 8 - 5*c**h + 211*c**2 with respect to c. -20*c**3 What is the second derivative of -715*d**4 + d**2 + 1 + 0*d**2 + 8*d - 1025*d**4 + 2000*d**4 wrt d? 3120*d**2 + 2 Let w(m) be the first derivative of -m**6/6 + 77*m**4/2 - 26*m**3/3 - 125. What is the third derivative of w(p) wrt p? -60*p**2 + 924 Let c(u) = -95*u**3 + 11*u + 20. Let o(g) = -96*g**3 + 9*g + 19. Let b(f) = -4*c(f) + 5*o(f). What is the second derivative of b(i) wrt i? -600*i Let j(i) be the first derivative of -76*i**3/3 + i**2 - 159. Find the second derivative of j(p) wrt p. -152 Let n(s) = 35*s**2 - 9*s + 340. Let l(q) = 70*q**2 - 15*q + 678. Let f(h) = 3*l(h) - 5*n(h). What is the derivative of f(j) wrt j? 70*j Suppose 4*r = -5*m + 64, 3*m - 21 = -3*r + 6*m. Find the third derivative of -1311 + 1311 + 15*u**2 - r*u**3 wrt u. -66 Let b(x) be the first derivative of 2*x**5 - 3*x**4/2 + 8*x**3 + x**2 - 125. What is the third derivative of b(v) wrt v? 240*v - 36 Find the first derivative of 5 - 213*c - 8 + 0 + 6 wrt c. -213 Let w(s) = -5*s**2 + 16*s. Let i(h) = 6*h**2 - 16*h. Let u = -47 + 50. Let k(f) = u*w(f) + 4*i(f). Find the second derivative of k(p) wrt p. 18 Suppose 5 + 27 = 5*i - 3*p, 4*i - 5*p = 36. Su
{ "pile_set_name": "DM Mathematics" }
*2 - 12*q. Let v(r) = -3*r**3 + 7*r**2 - 11*r - 1. Let t(k) = -4*h(k) + 5*v(k). Give t(b). 7 Let s = -219 + 230. Let j(y) = y**2 - 10*y - 11. What is j(s)? 0 Let o(f) = -f - 1. Let y be o(3). Let v(c) be the first derivative of c**4/4 + 5*c**3/3 + 3*c**2 + 2*c - 256. Determine v(y). -6 Let t(b) = -b**3 - 4*b**2 - 4. Let r(m) = m**3 + 14*m**2 + 12*m - 5. Let d be r(-13). Let u be ((-4)/d)/(2*2/32). What is t(u)? -4 Let d(p) = p**2 + p - 1. Let b(o) = -2*o**2 + 9*o - 15. Let n be b(2). Calculate d(n). 19 Let q(b) = b - 11. Let t(z) = -z**2 + 10. Let k be t(0). Let f be q(k). Let d(x) = -3*x**3 - x**2 + x + 1. What is d(f)? 2 Suppose 259 = 33*j - 632. Let d(p) = -p**3 + 28*p**2 - 28*p + 29. Calculate d(j). 2 Let q(r) be the second derivative of r**3/6 + 2*r**2 - 24*r. Determine q(8). 12 Let x = -14 + 14. Let i(l) = l**3 - l**2 + 8. Let o be i(x). Let t be (-294)/(-48) - 1/o. Let f(w) = 3*w - 9. Determine f(t). 9 Let z(g) = -g - 1. Let v be 3/(66/(-4)) + (-8)/(-44). Let u = -1 - -5. Let x = u - v. Give z(x). -5 Let f(o) = 42 - 12*o + 19*o - 4*o - o. Determine f(-20). 2 Let l(r) = -2*r**2 + 2*r + 3. Suppose 2*k - 38 = -10. Let y = 12 - k. What is l(y)? -9 Let q(x) = x**3 - 4*x**2 - 4*x. Let v be q(5). Suppose 2*j = v*j - 6. Let d(m) = -4*m**2 + 6*m**2 - 2 + j*m - 3*m**2 - m. What is d(2)? -4 Let c(w) = -w - 1. Let z = 523 + -522. Determine c(z). -2 Let t(g) = -g**3 - 4*g**2 + 9*g + 6. Let w(p) = -p**3 - 7*p**2 - 3*p + 3. Let c be w(-7). Suppose c*y + 90 = 9*y. What is t(y)? 24 Let t(y) = -y**3 + 12*y**2 - 11*y - 1. Let d = 36 + -32. Suppose -41 = -3*z - n + 5*n, -d*z + 50 = -3*n. What is t(z)? -1 Let d(j) be the third derivative of j**6/180 - j**5/60 + j**4/12 + 5*j**3/3 - 8*j**2. Let y(g) be the first derivative of d(g). Give y(2). 6 Let y(p) = -p - 24. Suppose -12*m - 184 - 56 = 0. Calculate y(m). -4 Let u(b) = -b**3 - 9*b**2 - b - 6. Let t = 305 - 314. What is u(t)? 3 Suppose 14*a - 21 = 17*a. Let d(n) = n**2 + 5*n - 7. Give d(a). 7 Let w(f) = -f**2 + 6*f + 2. Let a be 368/36 - 6/27. Let j(v) = -v**3 + 11*v**2 - 9*v - 5. Let z be j(a). What is w(z)? 7 Let f = 2 - 1. Let x(c) = -c**2 - c. Let j(u) be the second derivative of -u**5/20 + u**4/12 + u**3/2 + u**2/2 - 5*u. Let a(w) = f*j(w) + 5*x(w). What is a(-2)? -3 Let a(f) be the second derivative of -5*f**3/2 - 3*f**2/2 - 12*f. Suppose 2*u + 44 = -2*u. Let s(d) = -8*d - 1. Let w(k) = u*s(k) + 6*a(k). Determine w(-5). 3 Let k = 8 + -9. Let z(j) = -21*j - 3. Let b(d) = 11*d + 3. Let p(v) = 1. Let c(i) = b(i) - 2*p(i). Let q(o) = -5*c(o) - 2*z(o). What is q(k)? 14 Let l(v) = 10*v - 1. Let c = 5 + -6. Calculate l(c). -11 Suppose -4 = -4*x + 8. Suppose x = t - 0. Let o(a) = -t + 5 - 1 + 3*a. Calculate o(-1). -2 Let i(x) = -x**3 + 6*x**2 - 3*x + 16. Let m be i(6). Let u(a) = -3*a - 4. Give u(m). 2 Let n(k) = k**2 + 3*k - 3. Let u(v) = -v**2 + 2*v + 6. Let s be u(3). Let d(b) = 15*b + 3*b - 8*b - s + b**2. Let c be d(-10). Calculate n(c). -3 Let l(o) be the first derivative of -25*o**4/4 - 2*o**3/3 + o**2/2 + 36. Give l(1). -26 Let t(s) = -2*s**2 - s + 3*s - 101 - 3*s + 103 + s**3 + 0*s**3. Determine t(3). 8 Let b(y) be the first derivative of -y**4/4 - y**3/3 + 6*y - 2. Let c(r) = -r - 4. Let g = 10 - 14. Let j be c(g). What is b(j)? 6 Let j(o) = -o - 5. Let i = -17 + 17. Let v(p) = p**3 - 3*p**2 - p - 7. Let l be v(i). What is j(l)? 2 Let q be -4*(-2)/((-40)/(-365)). Let m = -77 + q. Let y(t) = -t**2 - 4*t - 3. What is y(m)? -3 Let j be ((-13)/(-260)*25)/((-10)/(-16)). Let b(s) be the second derivative of 0 - j*s**2 - 1/2*s**3 + 6*s - 1/12*s**4 + 1/20*s**5. Calculate b(3). 5 Let f(w) = -2*w**2 - w + 1. Suppose -345 = 5*o - 5*j, 5*o + 370 = 4*j + 24. Let c = 68 + o. Determine f(c). -5 Let o(j) = -j**3 + 6*j**2 + 6*j + 8. Suppose -39 = -9*z + 24. Let s be -5*(-8)/(-140) - (-51)/z. Calculate o(s). 1 Suppose -2*m + 5*s - 70 = 0, -s - 3*s = -m - 35. Let q = 36 + m. Let a(l) = 8*l + 1. What is a(q)? 9 Let t(s) = 10*s**3 - 14*s**2 + 16*s - 72. Let n(i) = -7*i**3 + 9*i**2 - 11*i + 48. Let k(g) = 7*n(g) + 5*t(g). Calculate k(7). -3 Let q(y) = -y - 3. Let j be 0 + 0 - (-6)/1. Suppose j*l - 4*l = 40. Suppose 3*s + 4*t = 7*s + 16, 0 = 4*s - 2*t + l. Determine q(s). 3 Let f be (-225)/(-63) + 6/14. Let q(v) be the third derivative of -3*v**2 + 0*v + 1/3*v**3 + 1/24*v**f - 1/30*v**5 + 0. Determine q(2). -4 Let m(f) = -f**3 + 10*f**2 + 19*f + 61. Let p be m(12). Let y(t) = -5*t + 1. Calculate y(p). -4 Suppose 15*c = 11*c + 212. Let g = -50 + c. Let z(s) = -s**2 + 4*s - 3. Calculate z(g). 0 Let i(m) = -38*m + 9. Let p(j) = -6*j + 1. Let l(h) = -i(h) + 6*p(h). What is l(13)? 23 Let l(n) = -4*n**2 - 24*n - 33. Let y be l(-4). Let g(h) = -16*h. What is g(y)? 16 Let i be (5/(-3))/(28/(-6) + 5). Let m(q) = -q**3 - 4*q**2 + 7*q + 2. Calculate m(i). -8 Let t(n) = -2*n**3 + n**2 + 4*n + 3. Let s(w) = w**2 + 11*w + 18. Let k be s(-11). Let h be 3 - (-60)/k*3/(-2). Determine t(h). 15 Let a(k) = -k**3 - k**2 - 4. Let q be a(-2). Let h(d) be the first derivative of -d**4/4 - d**3/3 - d**2/2 - 6*d - 17. Calculate h(q). -6 Let q(u) = -3*u**2 - 12444*u - 3 - 3*u**3 + u**3 + 12447*u. What is q(2)? -25 Let m(x) = -20*x - 1. Suppose -4*n - 5*z - 6 = 0, -10*n + 12*n - 6 = 2*z. Give m(n). -21 Let a(k) be the third derivative of k**4/4 + k**2. Let l(p) = 125*p - 501. Let h be l(4). Give a(h). -6 Let q(d) = d - 3. Let f be q(5). Suppose -o - f = -2*o. Let x(b) = b. Let c(i) = -12*i. Let n(g) = 4*c(g) + 44*x(g). Calculate n(o). -8 Let j(c) = -3*c + 4. Let q(z) = -8*z + 7. Let a(d) = -9*j(d) + 4*q(d). Calculate a(-9). 37 Let b(i) = -i**3 - 3*i**2 + 2*i + 5. Let l = -482 + 479. Calculate b(l). -1 Let u(j) = 1 + 9*j + 11 + 2034*j**3 - 12*j**2 - 2033*j**3. Give u(11). -10 Suppose 5*q + 40 = 5*j, -2*j + 3*q - 1 = -22. Let t(u) be the second derivative of -1/4*u**4 + 0 + 1/20*u**5 - 3*u - 1/3*u**j + 2*u**2. Determine t(3). -2 Suppose 32*s - 212 = -21*s. Let v(l) = -l**2 + 2*l - 13. Give v(s). -21 Let y(d) be the first derivative of 13*d**3/3 - d**2 + 13*d + 10. Let b(c) = 9*c**2 - c + 9. Let g(f) = -7*b(f) + 5*y(f). What is g(2)? 4 Suppose 5*a - 2*a + 3 = 0. Let f(g) = 15*g - 3. Let z(s) = -15*s + 4. Let h(y) = -5*f(y) - 4*z(y). Calculate h(a). 14 Let l(w) be the first derivative of -2*w**2 + 7*w + 737. What is l(3)? -5 Let d be (-24)/(-4) - (-1 + 1). Let i(h) = 2*h + 12 + 0*h - d. Calculate i(-4). -2 Let i(y) = 9*y**3 - y. Let g(h) = h**2 + 6*h - 12. Let r be g(-8). Let t be -1 - r/(-4) - 1. Let n be 2 - t - 18/9. Calculate i(n). 8 Let s(q) = -q + 2. Let g(m) = -2*m + 4. Let i = 37 + -50. Let z(b) = i*s(b) + 6*g(b). Determine z(-3). -5 Let o(i) = i**3 - 17*i**2 - 26*i + 9. Let z(m) = -m**3 + 18*m**2 + 26*m - 12. Let l(v) = -7*o(v) - 6*z(v). Determine l(13). 9 Let m(g) = -2*g + 17. Let z be m(-8). Let x = 30 - z. Let s(t) = -t**2 + 3*t + 2. Give s(x). -16 Let d(m) = -3*m + 20. Let j be d(6). Let v(z) = -6*z**2 - j*z**2 + 0*z**2 - 5 + 11*z - z**3 - 2*z**2. What is v(-11)? -5 Let g(p) = 2*p**3 + 3*p**2 - 6*p - 8. Let u(q) = q**3 + q**2 - 2*q - 2. Let d(o) = 2*g(o) - 7*u(o). What is d(1)? -4 Let n(h) be the third derivative of 1/120*h**6 - 1/10*h**5 - 2*h**2 + 0*h + 0 + 1/2*h**3 + 1/4*h**4. Calculate n(5). 8 Let d(v) = v**2 - 2*v - v - v + 1. Let f = -130 + 132. Suppose -4*i + f*a = -8, 2*i = -3*i + 4*a + 10. Give d(i). -3 Let n = 0 - 8. Let d(j) = j**2 + 9*j + 7. Determine d(n). -1 Let c(a) = -2*a**3 + a**2 + a. Let d be c(1). Let s(j) = -j**2 - j + 17. Calculate s(d). 17 Suppose 446 + 225 = -11*p. Let f = p + 57. Let o(j) = j**2 + 6*j + 5. Calculate o(f). -3 Let j(z) = -z**3 - 3*z**2. Suppose 3*l + 18 - 3 = 0. Let o be (-3)/(-2 - 1) - l. Let t be 6/18 + (-20)/o. Give j(t). 0 Let h(g) = -g**3 - 9*g**2 - 17*g - 15. Let o be h(-7). Let c(q) = 2*q + 7. Calculate c(o). 19 Let y(g) be the third derivative of -g**5/60 + 7*g**4/24 - 2*g**3/3 - 164*g**2. What is y(3)? 8 Let j = -33 + 24. Let i(w) = -w**3 - 8*w**2 + 7*w - 12. Let t be i(j). Suppose t = -p - 3*a - 3, 5*p - 2*a = 6. Let x(z) = z + 3. Give x(p). 3 Suppose -15 = 5*u, 3 = 3*z + 2*u - 3. Let r(f) = 1 - z*f - 2 + 0*f. Let m(h) = -h**3 - 5*h**2 + 3. Let j be m(0). Give r(j). -13 Suppose 6 = 5*l - 19. Let c(w) = -w**2 + 5*w - 1. Let g(f) = -5. Let p(o) = -1. Let d(z) = g(z) - 6*p(z). Let t(m) =
{ "pile_set_name": "DM Mathematics" }
rs of a? 2, 3, 31 Suppose -394*f + 390*f - 4*h = -122424, -5*f + 153014 = -3*h. What are the prime factors of f? 2, 7, 1093 Suppose 4*m + 0 - 20 = 2*k, 5*m - 25 = k. Suppose 2*j = -m*h + 91, -2*j - 61 = h - 4*h. Suppose h*w = 15*w + 600. What are the prime factors of w? 2, 3, 5 Let n = -389 - -389. Suppose n = 18*g - 3463 - 5357. What are the prime factors of g? 2, 5, 7 Let j = -598 - -1130. Let u = -70 + j. What are the prime factors of u? 2, 3, 7, 11 Let z be 5/(-1)*6/(-10). Suppose -z*r - r = -64. Suppose r*d - 20*d + 80 = 0. List the prime factors of d. 2, 5 Let w = -4692 - -7530. What are the prime factors of w? 2, 3, 11, 43 Suppose 11*h = 7*h + 220. Let k = 55 - h. Suppose k = 7*b - 5*b - 196. What are the prime factors of b? 2, 7 Let l = -17 + 72. Suppose 189 = 3*m + 3*r, -14*m - l = -15*m - 3*r. Let g = 146 - m. List the prime factors of g. 79 List the prime factors of ((-17534)/(-33) + -6)/(((-42)/(-9))/7). 2, 197 List the prime factors of -9*(-3978 - -21)*2/9. 2, 3, 1319 Suppose -4*p - 8 = 0, 7*p - 8*p = -5*w + 4617. Suppose -a + w = 252. What are the prime factors of a? 11, 61 Suppose 2*q = -4*p + 540, -46*q + 43*q - 4*p + 802 = 0. List the prime factors of q. 2, 131 Let i be 10*2/(-25)*10/4. Let s(r) = -13*r**3 + 4*r**2 + 7*r + 7. What are the prime factors of s(i)? 113 Let b(u) = 2*u**3 + 5*u**2 - 9*u + 3. Let j be b(3). Suppose 21*a - 16*a = j. Suppose 4*s = 9*s - a, -5*n + 2*s + 714 = 0. List the prime factors of n. 2, 3 Let i = 438 - 430. Suppose 0*v - 5520 = -i*v. What are the prime factors of v? 2, 3, 5, 23 Let y = -74 - -88. Suppose 11 = -y*f - 31. List the prime factors of -1 + 12/f - -105. 2, 5 What are the prime factors of -13924*-3*2/12? 2, 59 Let z(w) be the first derivative of 11 - 19*w - 10*w**2 - 1/3*w**3. What are the prime factors of z(-14)? 5, 13 Let o be (4 - 196/8)/(2/(-36)). Suppose 9*y - 8*y = o. What are the prime factors of y? 3, 41 Let b = 273 - 406. List the prime factors of 3/2 + 4/8 - b. 3, 5 Suppose 33*l - 7505 = 28*l. Suppose -3*z - 616 = -l. Suppose -3*q - 2*q + z = 0. List the prime factors of q. 59 List the prime factors of 48*(-5)/(-20) + 45308 + -3. 45317 Let w = 1648 - 1100. Let a = w + -355. What are the prime factors of a? 193 Let l(o) = o**3 + 25*o**2 - 27*o - 23. Let t be l(-26). Suppose 5*y - 5*s = y + 3431, t*s - 15 = 0. List the prime factors of y. 2, 3 Suppose -g - 3780 = -16*g. What are the prime factors of 104524/g - 2/(-9)? 5, 83 Let n = -571 - -647. Suppose -4*b + 4*l + 7656 = 0, n = 2*b - 5*l - 3755. List the prime factors of b. 1913 Let u be (-489 - -2)*(-3)/3. Let t = u + 520. What are the prime factors of t? 19, 53 Suppose 21*b - 17884 - 19706 = 0. Suppose 0 = -4*y + 5118 - b. List the prime factors of y. 2, 13 Let m(q) = -46*q + 1. Let k be m(5). Let b = 678 + k. What are the prime factors of b? 449 Suppose -5*f = -2*w + 1006, -2*f + w - 806 = 2*f. Let n = 600 + f. List the prime factors of n. 2, 199 Suppose 4*d + 80 = 112. Suppose -5*w - 4*x = -6332, 4*w + 4*x - 5044 = d*x. What are the prime factors of w? 2, 79 Suppose 516463 - 104326 = 69*p. What are the prime factors of p? 3, 11, 181 Let r = 11040 - 5408. What are the prime factors of r? 2, 11 Suppose -6 = z - 3*a - 1, 4*z - 45 = -a. Let h(y) = y**3 - 9*y**2 - 7*y + 7. List the prime factors of h(z). 37 Let g be ((-24)/(-14))/(6/(-42)). Let r be g/(58/56 + (-22)/77). Let j(d) = -d**2 - 25*d + 36. List the prime factors of j(r). 2, 3, 5 Let b = -4165 - -8562. What are the prime factors of b? 4397 Let b = 22531 - 4460. List the prime factors of b. 17, 1063 Let i be (-1 - (-14 - 3))/(0 + -2). What are the prime factors of (-408056)/(-264) + i/(-6)? 7, 13, 17 Suppose 16*o = 13*o + 45. Suppose 0*y = 5*y - o. Suppose 3*i - 215 = 2*g - 7*g, 0 = 2*g + y*i - 86. List the prime factors of g. 43 Suppose 143 = -5*p + 2*b, -115 = 2*p + 3*p + 5*b. Let q = p + 81. Suppose v - q = 3*k + 79, 2*k = 2. List the prime factors of v. 2, 17 Suppose 15*w - 14*w = 0. Suppose 4*n + 4*t - 5*t - 427 = w, -t - 533 = -5*n. List the prime factors of n. 2, 53 Let v(n) = 6*n + 68. Let t be v(-11). Suppose -5*h - 5*f = -875, t*h - 3*f = -2*h + 700. Let a = h + -120. List the prime factors of a. 5, 11 Let l(i) = -i**3 - i**2 + i + 1. Let b be l(-1). Suppose 6*z - 3*z - 9 = b. Suppose 0*w - 4*w - 4*p = -804, 0 = -z*w - 2*p + 599. List the prime factors of w. 197 Let c(y) = 71*y**2 + 1. Let f be c(-1). What are the prime factors of (f/(-5))/(52/(-1040))? 2, 3 Suppose 5*y + 3 = 4*g, -1 = -3*y + g - 0*g. Let j be 27/(-72)*(-8)/y. Suppose j*h + 0*o - 40 = -4*o, -h - 5*o = -28. List the prime factors of h. 2 Let x = 253 + -249. Suppose 14*z - 10*z - x = 0, -b + 5*z = -1102. What are the prime factors of b? 3, 41 Let o = 839 + -595. Suppose 4*b = w - o, -41 = -4*w - b + 1020. Let g = w + -49. What are the prime factors of g? 5, 43 Let b be 4*(-5)/(-30) - 230/(-6). Let m(x) = 27 - x + 2*x**2 - b + 28. What are the prime factors of m(-5)? 71 Suppose 0 = 3*m - 4*m - 52. Let v = 37 + m. What are the prime factors of v*(-20)/12 - 4? 3, 7 Let g be 60/11 + (-6)/(-11). Suppose -459 = -3*z + 2*n - g*n, 3*z - 459 = -n. List the prime factors of z. 3, 17 Let r(v) = 23*v - 327. Let f be r(11). Let z be 169 + (-1 - -1) + 1. Let t = z + f. What are the prime factors of t? 2, 3 List the prime factors of (-534345)/(-30)*(-2)/(-7). 7, 727 Let s = -670 - -665. Let n(j) = -157*j - 293. List the prime factors of n(s). 2, 3, 41 Let a be (-2)/(-6) + -11 + (-276)/(-36). Let z(s) = -17*s**3 + 2*s**2 + 7*s + 24. List the prime factors of z(a). 2, 3, 5 List the prime factors of (362/1448)/(-1 - (-36965)/36964). 9241 Let a be (5/3)/((-24)/720). List the prime factors of (-3 + 7)*(a/(-4) + 3). 2, 31 Suppose -7*d + 3*d + 19304 = 0. Suppose -7*h + 704 + d = 0. Suppose 0 = 3*y, y - 2*y = -5*a + h. List the prime factors of a. 2, 79 Let x(p) = -6*p + 0*p + 4*p - 2 - 85*p**3 + 6*p - 2*p**2. Let j be x(1). Let r = -20 - j. List the prime factors of r. 5, 13 Suppose g - j = 520, -3*g + 1044 = -g - j. Let r = g + -252. List the prime factors of r. 2, 17 Suppose 5*z - v - 16511 = 0, 104*v - 6572 = -2*z + 99*v. What are the prime factors of z? 3301 Let y = -2499 - 27. What are the prime factors of (-49)/(-98) - (-1 + y/4)? 3, 211 Suppose -9*t + 5020 = -20477. Let i = t - 2023. What are the prime factors of i? 2, 3, 5 Let z(m) = 7*m**2 + 4*m - 6. Let h be z(1). What are the prime factors of (h - 0 - -13)/(4/130)? 3, 5, 13 Suppose 0 = -s + 131 + 699. Suppose -5*k = 5*k - s. Suppose -2*m - 5*d = -k + 17, 2*d - 54 = -2*m. What are the prime factors of m? 23 Let y(q) = q**3 + 64*q**2 + 382*q + 225. List the prime factors of y(-56). 3, 1307 Suppose -6*w - 2950 = -14*w + 4930. List the prime factors of w. 5, 197 Suppose 4*s = -23*s + 72765 + 21357. List the prime factors of s. 2, 3, 7, 83 What are the prime factors of 1/(-4)*(63/18 - 68190/4)? 4261 Let s be 2/8*-2 - 44121/42. List the prime factors of s/((-4 - -2) + 1). 1051 Suppose -9*o + 225 = -24*o. List the prime factors of 5*((-9)/o + (-702)/(-15)). 3, 79 Let c be -4*1/((-8)/6). Suppose 3*o - 4 = x + 1, -4*o - c*x = -24. List the prime factors of 1/(2/6)*(o + -2). 3 Let d(g) = -267*g - 20. What are the prime factors of d(-5)? 5, 263 Suppose -3*k = 3*f + 54, 9*k - 7*k = -f - 33. What are the prime factors of (7 - 2466/k)*5? 857 Suppose 4*h - j = -227, -127 = 5*h - 2*j + 153. Let s = 61 + h. Suppose 3*t = s*z - 300, -3*z + 2*t + 389 - 85 = 0. What are the prime factors of z? 2, 13 Suppose 336*a - 337*a - 238 = 0. What are the prime factors of 28/a + 5578/17? 2, 41 Let t(i) = 8*i - 2 - 2 - 81 - 6 + 20*i**2 + i**3. What are the prime factors of t(-17)? 2, 5 Let p(y) = -3*y**3 - 12*y**2 + 5*y - 9. Let a be (-1)/(4/8) - -2. Suppose 4*d = -a*d - 24. What are the prime factors of p(d)? 3, 59 What are the prime factors of 1*(-14102)/3*((-378)/28 + 12)? 11, 641 Let w = -73431 - -107566. What are the prime factors of w? 5, 6827 Suppose 5*z - 4*y = 4*z + 222, 0 = 3*z + 5*y - 666. Suppose 6*f = z + 156. What are the prime factors of f? 3, 7 Suppose 12*l - 6*l = 24. Suppose g - l*g = -96. Let y = 201 - g. What are the prime factors of y? 13 Let y = -4120 + 6732. Suppose 2*j - 6*j = -y. What are the prime factors of j? 653 Suppose c - 3*y = 50, -2*c = c + 2*y - 139.
{ "pile_set_name": "DM Mathematics" }
be ((-60)/25 - -2)*5. Let y = 259 - 259.5. What is the second biggest value in v, y, -6/11? -6/11 Let v = 19811 - 19811.1. Which is the second smallest value? (a) 0.3 (b) 38/7 (c) v (d) -0.5 (e) -3 d Let t = 3.038 - -4.962. Which is the second smallest value? (a) 0 (b) -1 (c) t (d) -3 b Let q = -911/3 + 3641/12. Let p = 19/51 - 12/17. Let n = 8.06 + -0.06. Which is the second smallest value? (a) p (b) n (c) q (d) 2 c Let i be 36/(-10) + 3 + 0/(9 - 16). Which is the third biggest value? (a) i (b) 4 (c) -5 (d) -0.107 a Let x = 1.1 + -1. Let h = -0.6 + x. Let q = 123252.7 - 123253. Which is the second smallest value? (a) -0.1 (b) h (c) q c Let u = -54500/3 - -18164. Which is the biggest value? (a) -3 (b) 5 (c) -2 (d) u b Let m be ((-3)/15)/(74/(-555))*-2. What is the second biggest value in m, -0.1, 326, -2/7? -0.1 Let m = 8887 + -8882. Which is the smallest value? (a) -377 (b) m (c) -2 a Let y(h) = 4*h - 26. Let k be y(14). Suppose 23 = 7*i + k. What is the second smallest value in i, 1/5, -6/7? -6/7 Let m be (6/(-11835))/((-7)/35). Let d = 2357/3945 + m. Let v = 3 + 0. Which is the third biggest value? (a) d (b) v (c) -0.9 c Let v = -726 + 727. Let n = 2.2 + 1.7. Which is the third biggest value? (a) v (b) -0.1 (c) n b Let t = -0.7 - 4.3. Let l = -1111 - -945. Let f = l + 832/5. What is the third biggest value in f, -3, t, -4? -4 Let d = 133 - 135. Let o = -0.2 - 0.8. Let c = 101.2 + -97.2. What is the third biggest value in d, c, o, -0.4? o Let v = 272.18 + -272.48. Which is the biggest value? (a) 247 (b) v (c) -5 (d) -2/7 (e) 4 a Let a be (9/(-10))/(240/(-400)). What is the fifth biggest value in a, 1, -1, 55, -4/5? -1 Let j be 2/11*231/147*(1 - 2). Let w = -3.8 + -0.2. Let f = -7 - w. Which is the smallest value? (a) f (b) -1/2 (c) j a Let o(t) = -t**2 + 11*t + 12. Let j be o(7). Let v be 4*(2/7)/(j/(-70)). What is the fourth biggest value in -8, 0.4, 2/3, v? -8 Let y = 1/172 - 65/86. Let u = 0.0513 - 37.6513. Let j = 39.6 + u. What is the third biggest value in y, 1/5, -1, j? y Suppose 3*v + 3*b = 363, -614 = -5*v - 0*v - 2*b. Suppose 0 = 2*k - 6*k + v. Let d = 34 - k. What is the third smallest value in -8, 0.1, d? d Let f = -9304 - -9307. What is the second smallest value in 2/10095, f, -0.2? 2/10095 Let x be 1/(-4) - 40/(-64). Let p = -454 + 439. What is the third biggest value in 3, p, x? p Let t = 57.31 - 62.31. Which is the third biggest value? (a) 19/4 (b) t (c) 0 b Let x = 669 - 669.12. Suppose -66 = 10*k - 86. What is the third smallest value in x, -1, k? k Let f = 3 - 4. Let p = 124.3 + -124. Suppose s = -18 + 19. Which is the smallest value? (a) p (b) s (c) f c Suppose -20*i + 24*i = 2*k + 164, -3*k = i - 69. Which is the third smallest value? (a) -1 (b) -0.4 (c) 1/4 (d) i c Let f = -3223.4 - -3223. Which is the biggest value? (a) 1/2 (b) -1.6 (c) f (d) -2/21 a Let d be (28/385)/((-4)/(-10)). Let l = 22 + 59. Let z = l + -82. Which is the third smallest value? (a) 9 (b) d (c) z a Let u(s) = 2*s**3 - 110*s**2 + 66*s + 2265. Let m be u(54). Which is the fourth biggest value? (a) 107 (b) -5 (c) -0.6 (d) m b Let c = 550 + -644.2. Let q = c + -7.8. Let a = q - -100. What is the second smallest value in a, 4, 1/5, -3? a Let v(y) = -4*y**3 + 3*y**2 + 2*y. Let s be v(-1). Suppose -s*f - 147 = -17. What is the second biggest value in -4, 1/2, f, 2? 1/2 Suppose 0 = 4*r - 8 - 0. Let s be r/(-12) + 3/(-6). Let y = -1899 + 1900. Which is the third biggest value? (a) s (b) y (c) -0.02 a Let n = 3.31 + -55.41. Let i = n - -52. Which is the biggest value? (a) 2 (b) i (c) -1 a Let c = 44 + -39. Suppose -5*n - c*q + 60 = 0, -4*n - n + 44 = -3*q. Let y = n + -14. What is the smallest value in 1/9, -1.3, 0.4, y? y Let m be (2 - 2)*-1 + (14 - (15 - 0)). Which is the smallest value? (a) -71/5 (b) m (c) -2 (d) 0.3 a Let k = -1.803 + -0.197. Let s = 66 - 108. Let d = s - -47. Which is the smallest value? (a) 7 (b) k (c) d b Let c = 627 - 633. Suppose -n = -2*n - 3. Let b = -1/1946 + -1459/973. What is the fourth biggest value in b, n, c, 0? c Let d be ((-36)/8 - -5)*148/(-6). Which is the third smallest value? (a) 1 (b) -2/9 (c) d a Let q = 369.4 + -368.9. Let d = -4 + 3. Let s(j) = j**2 + 13*j - 1. Let k be s(-11). Which is the third biggest value? (a) k (b) q (c) d a Let r(u) = -8*u**2 + 28*u + 43. Let z be r(11). Let m = -617 - z. Which is the biggest value? (a) 51 (b) m (c) 5 a Let g = 99 + -97.906. Let h = 0.094 - g. What is the third biggest value in h, -4, 95? -4 Let b = 1.9984 - 0.9984. What is the fourth smallest value in b, -0.1, 6, 0.3, 21? 6 Let u = 64.7 + -68. Let f = 3.408 - -0.892. Let t = f + u. Which is the third smallest value? (a) 0 (b) t (c) 0.11 b Let k be 4*3*28/48. Let l be (-47)/(-24) + (-49)/21. What is the fourth smallest value in 3, k, l, 2? k Let n = -1769 - -1768.902. Which is the biggest value? (a) 0.3 (b) n (c) -0.3 (d) -4 a Let r be (-22)/14*525/(-385). What is the third biggest value in r, -2/17, -7? -7 Let h = 6050 - 6058. What is the second smallest value in -2/23, h, -270? h Let g = 15.1 + 79. Let f = g + -12.4. Let t = f + -82. Which is the second smallest value? (a) -0.2 (b) t (c) 2/3 a Let n = 156/737 + -2/67. Let t = -55997/102 + 549. Let y = t + -28/255. Which is the second smallest value? (a) n (b) y (c) -4 b Let h = -2/5 - -11/15. Let g = -678315 - -678312. Which is the third smallest value? (a) g (b) 0.07 (c) -3/4 (d) h b Suppose 3*z = 4*j - 30, 4*j + z - 28 = 5*z. Let s be (-24)/11 - (j + (-21 - -10)). Let f = 3 - 7. Which is the second smallest value? (a) s (b) 5 (c) f a Let i = 2/2329 - 4676/20961. Which is the second smallest value? (a) i (b) 0.1 (c) 108 b Let x = -0.8 + 0.7. Let f = 1223 - 7339/6. What is the biggest value in -2/3, -26, x, f? x Let x(f) = f**2 - 3*f - 20. Let u be x(-3). Let i(v) = -35*v + 1. Let g be i(u). What is the second smallest value in -1/8, g, 0.1? 0.1 Let p be ((-330)/(-50) - -1) + -5 + -3. Which is the second biggest value? (a) -0.3 (b) 0.13 (c) 18 (d) 7/2 (e) p d Suppose 4*d = 5*d + 3. Let n be (-1 - d)/(-1) - -6. Let x = 2644 - 2643.6. Which is the third biggest value? (a) x (b) n (c) -1/6 c Let n = 4496 - 4499. Suppose 5 = 2*g - 1. What is the biggest value in 173, -2, n, g? 173 Let a = 4 - -1. Let x = -6462.4 + 6462. What is the second biggest value in -0.3, x, a, -3/7? -0.3 Let t be (128/(-84) + 2)*84/140. Which is the second smallest value? (a) 3 (b) -5 (c) 14 (d) t (e) 2/11 e Let g = -7022 - -7024. What is the biggest value in -7, g, -0.1, 2/5, 0.5? g Let s = 1136 - 1136.2. What is the second biggest value in 0.3, s, 12, 1/3? 1/3 Let o(s) = -5*s**2 + 99*s + 241. Let h be o(22). What is the smallest value in 0.001, 0.1, 5, h, -0.4? h Let o = 316 + -316.4. Which is the second biggest value? (a) -4 (b) -9 (c) 0.1 (d) o d Let c(z) = -115*z - 4484. Let f be c(-39). Let g = -3/5 + 14/15. What is the smallest value in 5, f, g? g Let w be (-220)/(-192) + (-8)/6. Let f = 129.2 - -15.8. Let g = 146 - f. Which is the second smallest value? (a) w (b) 1/4 (c) g b Let q be (5/(-6) - 0) + (-29)/(-6). Which is the fourth biggest value? (a) q (b) 13 (c) -5 (d) -2 c Let j = -11.68 + 0.68. Let i = j - -8.1. Let z = -2.9 - i. Which is the second smallest value? (a) z (b) 1/3 (c) -3 (d) 5 a Let i = -11214 + 11218. Which is the fourth biggest value? (a) 0 (b) 0.1 (c) -0.015 (d) -0.4 (e) i c Let v = -11775 + 11770. Which is the fourth smallest value? (a) -2 (b) v (c) 1/4 (d) -16 c Let g = -29005/3 - -9668. Which is the fifth biggest value? (a) 0 (b) 73 (c) 3 (d) g (e) -5 e Let w = -1/14 + 9/28. Which is the second smallest value? (a) 3 (b) -4/7 (c) 2 (d) -1/5 (e) w d Let f be (-160)/280 - (-23)/28. Which is the third biggest value? (a) -0.1 (b) f (c) 231/19 a Let z be 56/154*22/(-12). What is the smallest value in z, -22, 2? -22 Let h = -3828/5 - -7661/10. Which is the biggest value? (a) -0.664 (b) -5 (c) h (d) 0.3 c Let a be (-5 - -8)*((-40)/(-175) + (-2)/(-10)). What is the biggest value in 1, a, -3/7? a Let l = 27257 + -81772/3. Let w be -2 - (-2 + (-12)/62). Which is the biggest value? (a) w (b) 0 (c) l a Let v = -4288 + 3
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 21 What is 672195 to the power of 1/9, to the nearest integer? 4 What is the cube root of 143551 to the nearest integer? 52 What is the third root of 5322791 to the nearest integer? 175 What is 531297 to the power of 1/6, to the nearest integer? 9 What is the square root of 32215325 to the nearest integer? 5676 What is 3988772 to the power of 1/2, to the nearest integer? 1997 What is 82241 to the power of 1/4, to the nearest integer? 17 What is the eighth root of 72495 to the nearest integer? 4 What is 15704918 to the power of 1/2, to the nearest integer? 3963 What is 3802955 to the power of 1/10, to the nearest integer? 5 What is the seventh root of 18640903 to the nearest integer? 11 What is the third root of 9339120 to the nearest integer? 211 What is 2061091 to the power of 1/4, to the nearest integer? 38 What is the tenth root of 1995071 to the nearest integer? 4 What is 2784709 to the power of 1/2, to the nearest integer? 1669 What is 1228615 to the power of 1/6, to the nearest integer? 10 What is 24628541 to the power of 1/4, to the nearest integer? 70 What is 516073 to the power of 1/5, to the nearest integer? 14 What is the cube root of 141679 to the nearest integer? 52 What is the square root of 10151471 to the nearest integer? 3186 What is the fourth root of 1204268 to the nearest integer? 33 What is the square root of 3373287 to the nearest integer? 1837 What is the eighth root of 209634 to the nearest integer? 5 What is the fourth root of 22241843 to the nearest integer? 69 What is the sixth root of 27781328 to the nearest integer? 17 What is the eighth root of 2882493 to the nearest integer? 6 What is 113647 to the power of 1/3, to the nearest integer? 48 What is 14686211 to the power of 1/10, to the nearest integer? 5 What is 4243752 to the power of 1/3, to the nearest integer? 162 What is the square root of 414516 to the nearest integer? 644 What is 296295 to the power of 1/7, to the nearest integer? 6 What is 281669 to the power of 1/7, to the nearest integer? 6 What is 143583 to the power of 1/3, to the nearest integer? 52 What is the cube root of 1380256 to the nearest integer? 111 What is the third root of 31607 to the nearest integer? 32 What is the square root of 1088031 to the nearest integer? 1043 What is the cube root of 7886760 to the nearest integer? 199 What is the square root of 242620 to the nearest integer? 493 What is the third root of 917539 to the nearest integer? 97 What is the square root of 10300069 to the nearest integer? 3209 What is 522104 to the power of 1/3, to the nearest integer? 81 What is the fourth root of 403552 to the nearest integer? 25 What is 436641 to the power of 1/6, to the nearest integer? 9 What is 2976778 to the power of 1/8, to the nearest integer? 6 What is 11833094 to the power of 1/2, to the nearest integer? 3440 What is the third root of 301731 to the nearest integer? 67 What is 519292 to the power of 1/2, to the nearest integer? 721 What is the fourth root of 8930603 to the nearest integer? 55 What is the third root of 2711410 to the nearest integer? 139 What is the third root of 441236 to the nearest integer? 76 What is 2476812 to the power of 1/2, to the nearest integer? 1574 What is the cube root of 151035 to the nearest integer? 53 What is the fifth root of 1544713 to the nearest integer? 17 What is the third root of 709648 to the nearest integer? 89 What is the third root of 64774 to the nearest integer? 40 What is the third root of 6391302 to the nearest integer? 186 What is 4753863 to the power of 1/2, to the nearest integer? 2180 What is 149862 to the power of 1/2, to the nearest integer? 387 What is the cube root of 28793 to the nearest integer? 31 What is the third root of 687720 to the nearest integer? 88 What is the cube root of 2332504 to the nearest integer? 133 What is the square root of 288712 to the nearest integer? 537 What is 1400489 to the power of 1/2, to the nearest integer? 1183 What is the square root of 5485042 to the nearest integer? 2342 What is 1085506 to the power of 1/3, to the nearest integer? 103 What is the square root of 94466 to the nearest integer? 307 What is the square root of 420137 to the nearest integer? 648 What is 80180 to the power of 1/2, to the nearest integer? 283 What is the cube root of 1589408 to the nearest integer? 117 What is the square root of 9147891 to the nearest integer? 3025 What is 463829 to the power of 1/8, to the nearest integer? 5 What is the eighth root of 6899054 to the nearest integer? 7 What is 175884 to the power of 1/2, to the nearest integer? 419 What is the square root of 48703 to the nearest integer? 221 What is 170982 to the power of 1/3, to the nearest integer? 56 What is the cube root of 263017 to the nearest integer? 64 What is the tenth root of 5185764 to the nearest integer? 5 What is the cube root of 94901 to the nearest integer? 46 What is the third root of 838398 to the nearest integer? 94 What is the ninth root of 1476504 to the nearest integer? 5 What is 272226 to the power of 1/2, to the nearest integer? 522 What is 14918892 to the power of 1/7, to the nearest integer? 11 What is the third root of 215195 to the nearest integer? 60 What is 14207454 to the power of 1/6, to the nearest integer? 16 What is 220371 to the power of 1/3, to the nearest integer? 60 What is 496325 to the power of 1/5, to the nearest integer? 14 What is the ninth root of 3739514 to the nearest integer? 5 What is the third root of 1170055 to the nearest integer? 105 What is the fifth root of 17022973 to the nearest integer? 28 What is the third root of 1592340 to the nearest integer? 117 What is 11763 to the power of 1/9, to the nearest integer? 3 What is 619554 to the power of 1/6, to the nearest integer? 9 What is the eighth root of 2195107 to the nearest integer? 6 What is the square root of 171803 to the nearest integer? 414 What is 105885 to the power of 1/2, to the nearest integer? 325 What is 17966903 to the power of 1/3, to the nearest integer? 262 What is the square root of 9058468 to the nearest integer? 3010 What is 724164 to the power of 1/2, to the nearest integer? 851 What is 10313691 to the power of 1/8, to the nearest integer? 8 What is the third root of 1748378 to the nearest integer? 120 What is the cube root of 391166 to the nearest integer? 73 What is the third root of 281571 to the nearest integer? 66 What is the fifth root of 4781 to the nearest integer? 5 What is the cube root of 71194 to the nearest integer? 41 What is the square root of 4696634 to the nearest integer? 2167 What is 4689840 to the power of 1/10, to the nearest integer? 5 What is the tenth root of 9499080 to the nearest integer? 5 What is the fourth root of 971388 to the nearest integer? 31 What is 1174212 to the power of 1/2, to the nearest integer? 1084 What is the cube root of 12374155 to the nearest integer? 231 What is 51190 to the power of 1/2, to the nearest integer? 226 What is 4400399 to the power of 1/6, to the nearest integer? 13 What is the third root of 418269 to the nearest integer? 75 What is 282309 to the power of 1/2, to the nearest integer? 531 What is 1595326 to the power of 1/2, to the nearest integer? 1263 What is the fifth root of 2921901 to the nearest integer? 20 What is the tenth root of 1639132 to the nearest integer? 4 What is the tenth root of 7167488 to the nearest integer? 5 What is the square root of 7804245 to the nearest integer? 2794 What is 14273022 to the power of 1/4, to the nearest integer? 61 What is the third root of 177066 to the nearest integer? 56 What is 266780 to the power of 1/10, to the nearest integer? 3 What is 106368 to the power of 1/6, to the nearest integer? 7 What is 376431 to the power of 1/3, to the nearest integer? 72 What is 9397279 to the power of 1/4, to the nearest integer? 55 What is the third root of 2471520 to the nearest integer? 135 What is the fifth root of 172328 to the nearest integer? 11 What is the cube root of 5427260 to the nearest integer? 176 What is the third root of 6870316 to the nearest integer? 190 What is 299957 to the power of 1/3, to the nearest integer? 67 What is the third root of 5491753 to the nearest integer? 176 What is
{ "pile_set_name": "DM Mathematics" }
hat is the greatest common factor of 303360 and 237? 237 What is the highest common divisor of 90 and 372270? 30 Calculate the highest common divisor of 301806 and 828. 414 Calculate the greatest common factor of 64 and 78688. 32 What is the highest common factor of 65879 and 56551? 583 Calculate the greatest common divisor of 92043 and 189. 189 Calculate the greatest common factor of 924 and 3182564. 308 Calculate the highest common divisor of 119 and 350. 7 What is the highest common divisor of 28 and 191324? 28 What is the highest common divisor of 333308 and 1236? 412 Calculate the highest common divisor of 2071 and 80660. 109 Calculate the greatest common divisor of 7125 and 114. 57 What is the greatest common factor of 11 and 549527? 11 Calculate the greatest common factor of 272 and 15096. 136 What is the greatest common divisor of 651 and 14154? 21 What is the highest common divisor of 2814 and 875958? 402 What is the greatest common factor of 13810 and 11730? 10 What is the highest common divisor of 707 and 11599? 7 What is the greatest common divisor of 105 and 231960? 15 Calculate the highest common divisor of 9 and 36561. 3 Calculate the highest common factor of 168 and 29316. 84 Calculate the greatest common divisor of 68 and 3131468. 68 Calculate the greatest common factor of 498865 and 510. 85 Calculate the greatest common factor of 206048 and 4136. 376 What is the highest common divisor of 328 and 115702? 82 Calculate the greatest common factor of 1057126 and 92. 46 What is the highest common divisor of 86724 and 264? 132 Calculate the highest common factor of 207 and 7013229. 69 What is the highest common divisor of 22 and 2306? 2 What is the highest common divisor of 4670 and 8170? 10 Calculate the greatest common divisor of 5553 and 2678397. 1851 What is the greatest common factor of 111954 and 1974? 282 Calculate the highest common divisor of 120 and 636645. 15 Calculate the highest common divisor of 1109 and 3. 1 Calculate the greatest common divisor of 397888 and 352. 32 What is the greatest common divisor of 148 and 444703? 37 What is the greatest common divisor of 257800 and 2200? 200 What is the highest common factor of 5819 and 58443? 253 What is the greatest common factor of 1 and 729? 1 Calculate the highest common factor of 3249 and 1653. 57 What is the greatest common factor of 2349103 and 19? 19 What is the greatest common divisor of 10116 and 1035? 9 What is the greatest common factor of 6109 and 205? 41 Calculate the greatest common factor of 176 and 1012264. 88 What is the greatest common factor of 167758 and 74? 74 Calculate the greatest common divisor of 33046 and 29419. 403 What is the greatest common divisor of 143 and 128491? 11 Calculate the greatest common divisor of 7000 and 36120. 280 What is the greatest common divisor of 342 and 42541? 19 What is the highest common divisor of 3470 and 230? 10 What is the greatest common factor of 272300 and 175? 175 Calculate the highest common factor of 2134 and 17557. 97 Calculate the highest common divisor of 64323 and 63. 63 Calculate the highest common factor of 13 and 151268. 13 Calculate the greatest common factor of 1867411 and 637. 91 What is the highest common factor of 458347 and 134? 67 What is the highest common divisor of 18271 and 54209? 151 Calculate the highest common divisor of 1288 and 190. 2 What is the greatest common divisor of 798 and 66633? 399 What is the highest common factor of 147 and 203133? 21 What is the greatest common factor of 390 and 7320? 30 Calculate the greatest common factor of 36294 and 276. 138 What is the greatest common factor of 22887 and 1323? 9 Calculate the highest common divisor of 2295 and 6102. 27 What is the greatest common factor of 3263442 and 973? 973 What is the highest common factor of 2076 and 64875? 519 What is the greatest common factor of 528200 and 55100? 1900 What is the highest common divisor of 6909 and 1410? 141 What is the highest common divisor of 11361 and 336? 21 Calculate the greatest common divisor of 391 and 3451. 17 Calculate the highest common factor of 189 and 137907. 63 What is the greatest common divisor of 8721 and 179010? 459 What is the highest common divisor of 1870 and 14? 2 What is the highest common divisor of 6655 and 388652? 1331 What is the highest common divisor of 1531895 and 3020? 755 What is the highest common divisor of 5382 and 11214? 18 Calculate the greatest common divisor of 120 and 258. 6 What is the highest common divisor of 1859 and 18018? 143 Calculate the greatest common factor of 2527 and 1729. 133 Calculate the greatest common factor of 80 and 189580. 20 Calculate the greatest common divisor of 100 and 194080. 20 Calculate the greatest common divisor of 72 and 1936. 8 Calculate the greatest common factor of 860985 and 225. 45 What is the highest common divisor of 4544 and 128? 64 What is the greatest common factor of 51 and 1761? 3 Calculate the highest common divisor of 22 and 158. 2 What is the highest common factor of 6146 and 93946? 878 What is the highest common factor of 6278 and 1095? 73 Calculate the greatest common factor of 561 and 231. 33 What is the highest common divisor of 162 and 74? 2 What is the greatest common divisor of 282992 and 552? 184 Calculate the greatest common factor of 50 and 102075. 25 What is the highest common divisor of 65 and 3789071? 13 Calculate the greatest common divisor of 66 and 8601934. 22 What is the greatest common factor of 185 and 233433? 37 What is the greatest common divisor of 2256812 and 43? 43 What is the greatest common divisor of 1566 and 19662? 174 Calculate the highest common factor of 12863 and 551. 19 What is the greatest common divisor of 237 and 488299? 79 Calculate the greatest common divisor of 303950 and 50. 50 What is the greatest common factor of 486 and 29322? 162 Calculate the greatest common divisor of 114226 and 21238. 574 Calculate the greatest common factor of 2069033 and 961. 961 Calculate the highest common divisor of 12 and 3797634. 6 What is the greatest common divisor of 5983 and 217? 31 What is the highest common factor of 337070 and 925? 185 Calculate the highest common factor of 6120 and 37080. 360 Calculate the highest common divisor of 1134 and 16254. 378 What is the greatest common divisor of 552844 and 164? 164 What is the highest common divisor of 210 and 196518? 42 What is the highest common factor of 368 and 234600? 184 Calculate the highest common divisor of 3616 and 695176. 904 What is the highest common divisor of 284 and 584? 4 What is the greatest common factor of 210 and 77560? 70 What is the highest common factor of 800254 and 13? 13 Calculate the greatest common divisor of 340 and 21460. 20 Calculate the highest common factor of 15 and 1262545. 5 Calculate the highest common factor of 1024980 and 1260. 60 Calculate the greatest common factor of 21707 and 10241. 49 What is the highest common divisor of 5933 and 38739? 349 Calculate the highest common factor of 30534 and 9072. 42 What is the greatest common divisor of 756 and 28056? 84 What is the greatest common factor of 13604 and 6080? 76 What is the greatest common factor of 118 and 40? 2 Calculate the highest common divisor of 243 and 9099. 27 Calculate the highest common divisor of 22015 and 10965. 85 Calculate the greatest common divisor of 87768 and 4664. 424 What is the highest common factor of 601034 and 147? 49 Calculate the greatest common factor of 2210 and 10200. 170 What is the highest common divisor of 83050 and 55? 55 Calculate the greatest common divisor of 760 and 2090. 190 Calculate the greatest common divisor of 565021 and 1804. 41 Calculate the greatest common factor of 2332407 and 42. 21 Calculate the greatest common factor of 9879 and 2492. 89 What is the greatest common divisor of 1156491 and 2436? 609 Calculate the highest common factor of 489 and 95029. 163 Calculate the greatest common divisor of 10266 and 180786. 174 What is the greatest common divisor of 93988 and 21? 1 Calculate the greatest common factor of 70892 and 37. 37 What is the highest common divisor of 122430 and 420? 210 What is the greatest common divisor of 99727 and 62? 31 What is the greatest common divisor of 1818430 and 1314
{ "pile_set_name": "DM Mathematics" }
itres. 55.33931 What is 7/8 of a day in seconds? 75600 Convert 8728.25l to millilitres. 8728250 What is 1/27 of a week in seconds? 22400 How many millilitres are there in 8.866552 litres? 8866.552 Convert 1284.855l to millilitres. 1284855 How many seconds are there in twenty-three sixths of a hour? 13800 How many nanograms are there in fourty-three halves of a microgram? 21500 Convert 0.6547955 millilitres to litres. 0.0006547955 How many litres are there in 38.75837ml? 0.03875837 What is 13/5 of a litre in millilitres? 2600 Convert 779311.1t to kilograms. 779311100 What is 27/4 of a day in hours? 162 Convert 603412.2 micrometers to millimeters. 603.4122 What is 43/4 of a litre in millilitres? 10750 What is 51101.73 decades in months? 6132207.6 Convert 89.74994cm to kilometers. 0.0008974994 Convert 49.03746t to grams. 49037460 What is 3/10 of a micrometer in nanometers? 300 What is six fifths of a litre in millilitres? 1200 Convert 1927.982cm to micrometers. 19279820 What is 2365.81 millimeters in nanometers? 2365810000 How many millilitres are there in 63195.24 litres? 63195240 How many millilitres are there in 18/5 of a litre? 3600 What is 1.133487kg in milligrams? 1133487 How many centimeters are there in 7291.185mm? 729.1185 How many milliseconds are there in thirteen quarters of a second? 3250 How many milligrams are there in fourty-two fifths of a gram? 8400 What is 5134.868 micrograms in kilograms? 0.000005134868 What is 18/7 of a week in days? 18 What is 485.107 litres in millilitres? 485107 How many micrograms are there in 50.53292kg? 50532920000 How many seconds are there in 6.355266ms? 0.006355266 How many litres are there in 3.83876ml? 0.00383876 How many years are there in 3.001465 decades? 30.01465 Convert 59042.22 kilometers to nanometers. 59042220000000000 How many months are there in 8.803316 centuries? 10563.9792 What is 7/15 of a hour in seconds? 1680 What is 771453.8l in millilitres? 771453800 What is 81.07498 millennia in years? 81074.98 How many minutes are there in 6/5 of a hour? 72 How many meters are there in twenty-one fifths of a kilometer? 4200 What is 7684.745kg in micrograms? 7684745000000 What is 88.57936 litres in millilitres? 88579.36 How many litres are there in 9.023688ml? 0.009023688 What is thirteen eighths of a day in hours? 39 How many grams are there in seventeen halves of a kilogram? 8500 What is ninety-one quarters of a kilogram in grams? 22750 How many millimeters are there in fourty-nine quarters of a meter? 12250 What is 13/4 of a centimeter in micrometers? 32500 Convert 8538.067 centimeters to nanometers. 85380670000 How many years are there in 24.13903 millennia? 24139.03 How many nanograms are there in 1/5 of a microgram? 200 How many hours are there in 3/8 of a week? 63 Convert 36419.09l to millilitres. 36419090 How many minutes are there in one twentieth of a day? 72 How many hours are there in 49/4 of a day? 294 How many grams are there in twenty-seven fifths of a kilogram? 5400 How many hours are there in 4/3 of a week? 224 Convert 175.7265 kilometers to nanometers. 175726500000000 How many grams are there in one fifth of a kilogram? 200 What is 3/25 of a kilometer in meters? 120 What is 21/2 of a second in milliseconds? 10500 How many kilograms are there in 6.173783 nanograms? 0.000000000006173783 Convert 647.7558 nanometers to meters. 0.0000006477558 How many nanograms are there in 5/4 of a microgram? 1250 Convert 0.1530319 days to weeks. 0.0218617 How many millilitres are there in 17/10 of a litre? 1700 Convert 9036.828 millennia to decades. 903682.8 Convert 8.188284l to millilitres. 8188.284 Convert 2.5555716 nanoseconds to minutes. 0.00000000004259286 What is fourty-three quarters of a gram in milligrams? 10750 What is 17/2 of a kilogram in grams? 8500 What is seven sixths of a day in hours? 28 What is 117.11322 hours in days? 4.8797175 Convert 259.0586 meters to kilometers. 0.2590586 How many weeks are there in 60194.5092 minutes? 5.9716775 What is 7970.43l in millilitres? 7970430 What is 63309.25 centuries in decades? 633092.5 How many nanoseconds are there in 3/32 of a millisecond? 93750 What is 174.0961l in millilitres? 174096.1 How many kilometers are there in 7.612934mm? 0.000007612934 How many millennia are there in 512735.5 decades? 5127.355 How many kilograms are there in 57/5 of a tonne? 11400 How many centuries are there in 59/5 of a millennium? 118 How many millennia are there in 13900.608 months? 1.158384 How many years are there in nine tenths of a century? 90 How many millilitres are there in eighty-seven quarters of a litre? 21750 How many nanograms are there in 463296.2 micrograms? 463296200 How many milliseconds are there in 1/4 of a minute? 15000 Convert 66.01667 nanometers to kilometers. 0.00000000006601667 How many grams are there in seven quarters of a kilogram? 1750 Convert 999.74 centuries to months. 1199688 What is 21/2 of a kilogram in grams? 10500 How many millilitres are there in 6/5 of a litre? 1200 Convert 0.0115549g to micrograms. 11554.9 What is 6.610126 millilitres in litres? 0.006610126 Convert 41181.66 months to decades. 343.1805 How many hours are there in 33.372243ns? 0.0000000000092700675 How many months are there in 852485.8 centuries? 1022982960 How many centimeters are there in 18.44169m? 1844.169 What is 9.674361 tonnes in micrograms? 9674361000000 What is 591.3302um in millimeters? 0.5913302 How many millilitres are there in 11/2 of a litre? 5500 What is 19/4 of a second in milliseconds? 4750 What is 21/2 of a milligram in micrograms? 10500 How many milligrams are there in 9085.582 micrograms? 9.085582 How many millilitres are there in 45/2 of a litre? 22500 Convert 19259.856 hours to days. 802.494 What is 564304.4 millilitres in litres? 564.3044 What is five quarters of a gram in milligrams? 1250 How many meters are there in 26/5 of a kilometer? 5200 Convert 23.55571 millilitres to litres. 0.02355571 What is fourty-eight fifths of a litre in millilitres? 9600 How many grams are there in 3/5 of a kilogram? 600 What is 3.577907mg in kilograms? 0.000003577907 How many millimeters are there in three fifths of a meter? 600 Convert 3054.863 milligrams to kilograms. 0.003054863 Convert 75.21923 years to millennia. 0.07521923 What is 91/4 of a litre in millilitres? 22750 How many millimeters are there in 32/5 of a meter? 6400 What is 0.9813682 days in hours? 23.5528368 What is 93359.48 years in millennia? 93.35948 What is 848.2398kg in grams? 848239.8 How many millilitres are there in 1/5 of a litre? 200 How many minutes are there in 0.4047354 hours? 24.284124 How many hours are there in one sixth of a week? 28 Convert 46.7567 decades to millennia. 0.467567 What is five quarters of a second in milliseconds? 1250 What is 0.5900064nm in centimeters? 0.00000005900064 Convert 6073.142 grams to kilograms. 6.073142 What is 1438.475m in millimeters? 1438475 Convert 610383.9km to micrometers. 610383900000000 What is 846.7947 millilitres in litres? 0.8467947 What is 6/5 of a milligram in micrograms? 1200 What is 8.824688 tonnes in milligrams? 8824688000 What is 6/25 of a gram in milligrams? 240 What is 3/50 of a litre in millilitres? 60 Convert 0.836909l to millilitres. 836.909 What is twenty-three thirds of a minute in seconds? 460 How many litres are there in 6.594773 millilitres? 0.006594773 What is 68.89581 nanoseconds in minutes? 0.0000000011482635 What is 43/4 of a decade in months? 1290 What is 91656.69l in millilitres? 91656690 Convert 24.544926 months to centuries. 0.020454105 What is one tenth of a gram in milligrams? 100 Convert 0.0153727 milligrams to kilograms. 0.0000000153727 What is 409.3547 litres in millilitres? 409354.7 What is fifty-one quarters of a millennium in decades? 1275 How many nanometers are there in 13/5 of a micrometer? 2600 Convert 3609.957 milligrams to tonnes. 0.000003609957 Convert 221.59044 minutes to hours. 3.693174 What is 72.70644 millilitres in litres? 0.07270644 What is 3/10 of a kilogram in grams? 300 Convert 8.59631 hours to nanoseconds. 30946716000000 What is one fifth of a kilogram in grams? 200 How many meters are there in twenty-nine halves of a kilometer? 14500 How many minutes are there in 7/4 of a week? 176
{ "pile_set_name": "DM Mathematics" }
mplify (3 + sqrt(2736) + 0 + sqrt(2736) + 2 + sqrt(2736) + sqrt(2736) + (sqrt(2736) - (2 + -2*sqrt(2736))) + -4)**2. -168*sqrt(19) + 134065 Simplify (-5 + sqrt(425) + sqrt(425) + 0)**2 - -4*(sqrt(136)/(sqrt(40)/sqrt(5)) - sqrt(17)). -100*sqrt(17) + 1725 Simplify -5 + ((-3*sqrt(275) + sqrt(275) + -2)**2 - (2*sqrt(275) + 2)**2). -5 Simplify (-5 + sqrt(17)*1 + 4)*2*6*6. -72 + 72*sqrt(17) Simplify (-4*(sqrt(156) + -2*sqrt(156)) - -6*-1*sqrt(156))/((-2*sqrt(972) - sqrt(972))*-6 + sqrt(972)). -2*sqrt(13)/171 Simplify (5 + (sqrt(19) - 6*(sqrt(19)*-4 + sqrt(19) - sqrt(19))) - (5 + sqrt(304) - (sqrt(304) + -1 - sqrt(304))))**2. -42*sqrt(19) + 8380 Simplify (1 + sqrt(252) + -2 + 3 + (5 + sqrt(252) + -3 + sqrt(252))*6)**2. 2184*sqrt(7) + 42784 Simplify (2*sqrt(60) + sqrt(15) + sqrt(240)*2)/((sqrt(75)*-3 + sqrt(3))*-3). 13*sqrt(5)/42 Simplify (3 + 1*(-1*sqrt(1900) + sqrt(1900) + -4))**2 + 4 + -2. 3 Simplify (-4*(-5 + 3 + -1*sqrt(98) + 5 + sqrt(98)*1)*-6)**2. 5184 Simplify (1*2*sqrt(209) - 3*sqrt(209)*-2)/(sqrt(1100)*-1 + sqrt(1331)*2). 2*sqrt(19)/3 Simplify ((4 + (sqrt(171)*-1 - sqrt(171) - sqrt(171)) + -2 + 5)*4)**2 + 4. -2016*sqrt(19) + 25412 Simplify (4*(-1 + sqrt(720)) + 6*(sqrt(15)/sqrt(3) - sqrt(5)) + 3)**2. -96*sqrt(5) + 11521 Simplify ((sqrt(80)/(sqrt(2) + sqrt(242)*1 + sqrt(242)))/(1*(sqrt(800) + -1*sqrt(800) - sqrt(800))))**2. 1/10580 Simplify (-4*5*(sqrt(85)*3 - sqrt(85)))/(-3*sqrt(720)*-4). -5*sqrt(17)/18 Simplify 0 + (-4*sqrt(165)/sqrt(5))/((sqrt(77) - sqrt(77)*-1)/sqrt(7)). -2*sqrt(3) Simplify sqrt(684)*-1*-5 + -5*(-2 + sqrt(1900)). -20*sqrt(19) + 10 Simplify ((sqrt(76) - (4*-2*sqrt(76) - sqrt(76))) + sqrt(76))/sqrt(4) + (sqrt(152)/sqrt(2) - (sqrt(931)*2 - sqrt(19))). 0 Simplify -3*(-5 + ((-2 + sqrt(3))**2 - sqrt(3)) + sqrt(192) + -5). -9*sqrt(3) + 9 Simplify (6*1*sqrt(128) - sqrt(128)) + -2 + -2*sqrt(128) + sqrt(128). -2 + 32*sqrt(2) Simplify (6*sqrt(224)/sqrt(288))/(1*sqrt(144)*3 - sqrt(144)). sqrt(7)/12 Simplify (-6*-1*sqrt(66) - sqrt(66) - (-2*sqrt(66)*-2 - sqrt(66)))/(6*(6*(sqrt(24) - sqrt(6)) + sqrt(6))). sqrt(11)/21 Simplify (3*(-3 + (sqrt(931) - (-3*sqrt(931) + sqrt(931))*4)))**2. -3402*sqrt(19) + 678780 Simplify sqrt(1539) + sqrt(1539)*-1 + sqrt(1539) + -4 + 1 + 1 + sqrt(1539). -2 + 18*sqrt(19) Simplify (-1 + 0 + ((sqrt(448) + 1 - sqrt(448)) + 2 - 6*-1*sqrt(448)))**2. 192*sqrt(7) + 16132 Simplify ((1 + sqrt(1900))**2 - sqrt(19)) + ((-2 + sqrt(76))**2 - sqrt(76)) + ((sqrt(1900)*1)**2 - (4 + (sqrt(19) - sqrt(38)/sqrt(2))**2)). 9*sqrt(19) + 3877 Simplify (((sqrt(204)*1)/sqrt(12))**2 - sqrt(850)/sqrt(2))*1. -5*sqrt(17) + 17 Simplify (2*3*2*-3*(0 + sqrt(11) + -5) + -3)**2. -12744*sqrt(11) + 45585 Simplify ((sqrt(4617) - (sqrt(4617) - (sqrt(4617) + -1*sqrt(4617))))*-2)/(2*sqrt(300)*1)*5. 0 Simplify sqrt(84)/(sqrt(48)/sqrt(4))*2 - -6*sqrt(35)/(sqrt(25)/sqrt(5)). 8*sqrt(7) Simplify (-4*3*4*(0 + sqrt(1900))*1)**2. 4377600 Simplify (-1*(sqrt(1584) + (sqrt(1584) - (0 + sqrt(1584)*-2)) + sqrt(1584)) + -2 + -5 + sqrt(1584) + -1 + sqrt(1584))**2. 576*sqrt(11) + 14320 Simplify (2*sqrt(147)*2)**2 + (-1*sqrt(147)*4)**2 - ((-2 + sqrt(147) + -2)*1)**2. 56*sqrt(3) + 4541 Simplify (2*sqrt(324)*4)/(2*4*sqrt(50)). 9*sqrt(2)/5 Simplify (5*-2*sqrt(104)*2)/(-4*sqrt(72)*4 - sqrt(72)). 20*sqrt(13)/51 Simplify (2 + 1*sqrt(76))**2 + -4 - (-4*((sqrt(76) + -2)*1 - sqrt(76) - sqrt(76)))**2. -1204 - 120*sqrt(19) Simplify sqrt(28) + sqrt(28) + sqrt(56)/sqrt(2) + (sqrt(70)/sqrt(5))/sqrt(2) + -1*sqrt(7)*5*-1. 12*sqrt(7) Simplify (2*(sqrt(88) - (sqrt(88)*1 - sqrt(88) - sqrt(88))*-5))/(1*(2*sqrt(8) + sqrt(8))*2). -4*sqrt(11)/3 Simplify ((sqrt(180) - (-5 + sqrt(180) + 3))*2*6)**2. 576 Simplify ((2*sqrt(3520) - sqrt(3520)) + sqrt(165)/sqrt(3)*-2)/(-2*sqrt(245) + sqrt(245) - (sqrt(55)/(sqrt(44)/sqrt(4)) + sqrt(5))). -2*sqrt(11)/3 Simplify (2 + sqrt(252) + 2 + (sqrt(252) - (sqrt(252) + 0 + 4)))**2. 252 Simplify 4*((sqrt(567) + sqrt(567)*1*5)**2 + -1 + (-1*(sqrt(7) + sqrt(7) + 3 - sqrt(7)))**2). 24*sqrt(7) + 81708 Simplify ((2*sqrt(108) + sqrt(108))*-2 + sqrt(108))/(4*1*sqrt(864)). -5*sqrt(2)/16 Simplify (-1 + sqrt(27)/(sqrt(18)/sqrt(2)) - sqrt(24)/(sqrt(8) + -2*sqrt(200)))**2*-3. -127/9 + 20*sqrt(3)/3 Simplify (3*sqrt(68)*1 - sqrt(68)*-2*-6)/(sqrt(16)/(sqrt(100) - sqrt(4)) + 2*sqrt(4)*-1). 36*sqrt(17)/7 Simplify -5 + (-4 + (-1*sqrt(170) - sqrt(170))/sqrt(10) + sqrt(17) + sqrt(170)/(sqrt(60)/sqrt(6)))**2. 11 Simplify (-2 + -3*(3 + sqrt(176)*1) + 4)**2 + 0. 168*sqrt(11) + 1633 Simplify 3 + 1 + ((2 + sqrt(605))*4*-1)**2. 704*sqrt(5) + 9748 Simplify -3*((sqrt(2299) + 2 + sqrt(2299) + 0)**2 - (0 + sqrt(2299) + -5)**2). -20628 - 594*sqrt(19) Simplify ((sqrt(88) + sqrt(88) + 3*sqrt(88))*-2)/(sqrt(968) + sqrt(968) + -4*sqrt(968)). 5*sqrt(11)/11 Simplify ((sqrt(130) - sqrt(130)*-2)*-3 - sqrt(130)*-1*-6)/(sqrt(360)*-1 + sqrt(90) + sqrt(90)*-2 + sqrt(90)). 5*sqrt(13)/2 Simplify -5*-1*(2*sqrt(363))**2 + sqrt(363)*-1 + 5 + 2 + (0 + sqrt(363))**2. -11*sqrt(3) + 7630 Simplify 2*((sqrt(304) + 0)*4 + 4*(sqrt(171)*2 + sqrt(171))/sqrt(9))**2*-3. -89376 Simplify (-4*-4*(sqrt(243) + 1 + 0 - sqrt(243) - sqrt(243) - sqrt(243)) + 2)**2. -10368*sqrt(3) + 249156 Simplify ((6*(-1*(sqrt(2736) + 3) + 0) + 5)*4)**2. 29952*sqrt(19) + 1578640 Simplify (sqrt(33)/(sqrt(11) - (sqrt(891) + 2*sqrt(891))) + -1*(4 + sqrt(3) + sqrt(12)/sqrt(4)))**2. 212*sqrt(3)/13 + 19243/676 Simplify (6*(-5 + sqrt(128) + sqrt(128) + -1 + -3) + -5)*5. -295 + 480*sqrt(2) Simplify 2*(((sqrt(243)*4)**2 - sqrt(243) - sqrt(243)) + 0 + -2 + sqrt(243) + (-4*sqrt(243))**2) + 2. -18*sqrt(3) + 15550 Simplify (-3*(sqrt(308) - (-4*sqrt(308) + sqrt(308) - sqrt(308))))/sqrt(11)*4. -120*sqrt(7) Simplify 5*sqrt(24)/(sqrt(40)/sqrt(5)) - (1 + sqrt(48) + 5). -6 + sqrt(3) Simplify -3*(-3 + (sqrt(55)/(sqrt(11) - (sqrt(11)*2 + sqrt(11))) - sqrt(55)/(-2*sqrt(11)))**2 + 1). 6 Simplify 2*((sqrt(612) - (-2 + sqrt(612)) - sqrt(187)/(sqrt(11) - (sqrt(11) + sqrt(176))))*6 + -1). 3*sqrt(17) + 22 Simplify 4 + sqrt(72) + sqrt(72) + sqrt(72) + (sqrt(72) + -1)**2 + sqrt(72) - (sqrt(72) + sqrt(72) + -1)**2*5 - (-4*(sqrt(72)*2 + 5))**2. -6376 - 1788*sqrt(2) Simplify 3 + -1 + sqrt(17) + (sqrt(68) - -1*sqrt(68))/sqrt(4) - -1*(sqrt(17) + 6*sqrt(17)*3). 2 + 22*sqrt(17) Simplify (sqrt(28) - sqrt(224)/(sqrt(40)/sqrt(5)) - -6*(sqrt(28) - sqrt(140)/sqrt(5)))/(-2*sqrt(44)/(-4*sqrt(11))). 0 Simplify (sqrt(209)*2*-4 + (sqrt(209) + (sqrt(209) - 1*sqrt(209)))*-5)/((sqrt(88) - (5*(sqrt(88) - (sqrt(88) - sqrt(88)*-1) - sqrt(88)) + sqrt(88)))/sqrt(8)). -13*sqrt(19)/10 Simplify 2 + -1*((sqrt(13) + -1*sqrt(13) + -5 - (1 + sqrt(13)*-2))*4*1)**2. -1406 + 384*sqrt(13) Simplify (5 + ((sqrt(2057)*-1 - sqrt(2057)) + -1 - (sqrt(2057) + (-5 + 2*sqrt(2057) - sqrt(2057)))) + 5)**2. -1232*sqrt(17) + 33108 Simplify (sqrt(1377)*3*-5 + 3 + sqrt(1377)*2)*4 + 2. -468*sqrt(17) + 14 Simplify (sqrt(320) + 5 + sqrt(320) + 1)*-3 + sqrt(320)*1 + -4 + ((1 + sqrt(320) - sqrt(320)) + sqrt(320))**2*-6. -1948 - 136*sqrt(5) Simplify (-4 + sqrt(2) + 1 - (sqrt(18) + -1)**2) + 4 - (3 + (sqrt(128) - (sqrt(128)*1)**2) + -3). -sqrt(2) + 110 Simplify (-6*(2 + sqrt(19) + -3))**2 - ((-2*sqrt(608))/sqrt(2))**2. -496 - 72*sqrt(19) Simplify -6*6*(((1 + sqrt(288) + sqrt(288) + -5 - sqrt(288) - sqrt(288))*5)**2 + -1). -14364 Simplify 2 + (sqrt(605)*-5 - (sqrt(5) + sqrt(10)/sqrt(2)*2)). -58*sqrt(5) + 2 Simplify ((sqrt(975) + sqrt(975)*4 + sqrt(975) + sqrt(975) + sqrt(975) + sqrt(39) + sqrt(39))/(sqrt(15)/(sqrt(55)/sqrt(11))))**2 + -2. 22930 Simplify (3*(-1*(-1 + sqrt(108)) + (sqrt(108) + (0 + sqrt(108))*-2 - sqrt(108))) + 3)**2. -648*sqrt(3) + 8784 Simplify (2 + -2*sqrt(1584) - sqrt(1584)*1*-5) + 5 + 3. 10 + 36*sqrt(11) Simplify (-6*sqrt(44)*4)/(sqrt(1280)/sqrt(5)) + 2. -3*sqrt(11) + 2 Simplify -4 + (-3*(4 + sqrt(475)*3*4))**2. 4320*sqrt(19) + 615740 Simplify ((sqrt(65)*2 - sqrt(65))*-2)/(sqrt(180)*-1) - (2 + (3*sqrt(13)*1 - (1*sqrt(13) + 4)))**2. -56 + 25*sqrt(13)/3 Simplify (5*(((-3*sqrt(605) + sqrt(605))*2 - sqrt(605)) + -5)*2)**2*1. 55000*sqrt(5) + 1515000 Simplify ((-1*sqrt(1331)*1)**2 + -1 + sqrt(1331) + 4 + 1)*-5. -6675 - 55*sqrt(11) Simplify (2 + 1 + sqrt(1216) - (3*sqrt(171) + 3))**2. 19 Simplify sqrt(176) + 4 + -1 + -1 - -6*(sqrt(1584)*2 - sqrt(1584))*5. 2 + 364*sqrt(11) Simplify ((sqrt(171) - (-1 + sqrt(171) +
{ "pile_set_name": "DM Mathematics" }
8 + 5*h + 31 - 7*h**2. Let r(z) = 4*d(z) + 5*s(z). Differentiate r(o) wrt o. -14*o + 9 Let t = 480 - 478. What is the third derivative of -573*n**t + 749*n**2 + 2*n**4 - 114*n**5 - 2*n**4 wrt n? -6840*n**2 Let a(u) be the third derivative of 146*u**2 - 47/24*u**4 + 0*u - 20*u**3 - 1/30*u**5 + 0. What is the first derivative of a(x) wrt x? -4*x - 47 Let t(a) be the second derivative of -25*a**7/14 + 17*a**6/30 + 3*a**4/4 + 81*a**2/2 + 51*a + 14. Find the third derivative of t(k) wrt k. -4500*k**2 + 408*k Suppose -2*p + 6 = -4*q, -7 = -4*q - 2*p + 7. What is the second derivative of 9*u**2 + 8 + q - 7*u - 2*u + 4*u wrt u? 18 Let s(t) be the second derivative of -281*t**6/30 - 296*t**3/3 - t - 112. Find the second derivative of s(b) wrt b. -3372*b**2 Let b = -293 - -298. What is the third derivative of -20 - 3*d**6 - 75*d**5 - 19 + 25*d**b + 53 - 8 + 14*d**2 wrt d? -360*d**3 - 3000*d**2 Let r(v) be the second derivative of 11*v**7/42 + 7*v**5/10 - v**4/3 - 16*v**3/3 - 20*v - 156. Find the third derivative of r(j) wrt j. 660*j**2 + 84 Let f(i) be the first derivative of -741*i**4 - 3254*i**3/3 + 5918. What is the third derivative of f(g) wrt g? -17784 Suppose -9 = -5*v - o, -v + 2*v - 5 = 3*o. Let q be v/4 + 3/2 + 0. What is the third derivative of 2113 + 12*c**q - 18*c**4 - 2113 wrt c? -432*c Let b(u) be the third derivative of -u**6/12 - 29*u**5/60 - 2237*u**4/24 - u**2 - 729*u. Find the second derivative of b(h) wrt h. -60*h - 58 Let q(b) = -885*b + 1491. Let o(h) = -883*h + 1484. Let p(u) = -4*o(u) + 3*q(u). Differentiate p(v) wrt v. 877 Let l(x) = 0 + 20 + 2*x + 21. Let u be l(-18). Find the second derivative of 24*m + 19*m**3 - 22*m**3 - u*m**3 wrt m. -48*m Suppose -16*h = -25*h + 171. Suppose 4*f - 13 + 5 = 0. Differentiate 11*j**2 + 8*j**2 + 0*j**f + h + 18 with respect to j. 38*j What is the third derivative of 14560*q**2 - 5669*q**2 - 189*q**3 - 5406*q**2 - 6003*q**2 wrt q? -1134 Let w(n) = -3149*n - 760. Let x(c) = -3155*c - 763. Let j(i) = -4*w(i) + 3*x(i). Find the first derivative of j(u) wrt u. 3131 Let r(j) be the third derivative of 5/3*j**3 + 0*j**6 + 0*j**4 + 5*j + 0*j**5 + 1/5*j**7 + 0 + 2*j**2. What is the first derivative of r(c) wrt c? 168*c**3 Find the second derivative of -13128*l**2 - 1130 - l + 1792 + 14412*l**2 wrt l. 2568 Let v be 2/(-1*(2 - 3)). What is the third derivative of 20*g**6 - 30*g**6 + 49*g - 32*g**6 - 51*g - 20*g**v wrt g? -5040*g**3 What is the third derivative of 17*a**4 - 9*a**4 - 1569*a**2 + 1767*a**6 + 2156*a**6 - 8*a**4 wrt a? 470760*a**3 Let f(q) = 5*q**2 + 29*q + 4. Let o be f(-6). Let r(w) be the first derivative of -2/5*w**5 + o - 16*w + 0*w**4 + 0*w**3 + 0*w**2. Differentiate r(m) wrt m. -8*m**3 Differentiate -1045*s**3 + 28*s - 28*s - 4359 + 858*s**3 - s**2 - 1661*s**3 wrt s. -5544*s**2 - 2*s Let o(a) = -a + 9 + 5*a + 5*a + 3*a + a**2. Let w be o(-12). Differentiate -w*g + 6*g - 13*g - 1 wrt g. -16 What is the second derivative of 34*s**2 + 70*s + 10*s**2 + 9*s - s**4 + 0*s + 36*s wrt s? -12*s**2 + 88 Let t(z) be the second derivative of -z**5/10 + 65*z**4/2 + 682*z**3/3 + 1295*z + 2. Find the second derivative of t(y) wrt y. -12*y + 780 Let z(o) = 28*o**3 - o**2 - 40*o + 13362. Let w(f) = -f**3 - 15*f - 2. Let n(k) = 3*w(k) - z(k). What is the first derivative of n(q) wrt q? -93*q**2 + 2*q - 5 Let b(j) = 166*j**3 - 70*j**2 - 12*j + 12237. Let a(o) = 66*o**3 - 28*o**2 - 5*o + 4895. Let l(q) = 12*a(q) - 5*b(q). Differentiate l(g) with respect to g. -114*g**2 + 28*g Let x(q) = -6 + 18 - 2*q - 4 + 12. Let y be x(7). What is the second derivative of 23*n**5 - 16*n**2 - 5*n + y*n**2 + 10*n**2 wrt n? 460*n**3 Let b(h) = 7*h - 3*h + 2*h - 7*h. Let z(w) = 13*w**3 + 7*w**2 + 4*w. Let a = -94 - -95. Let d(o) = a*z(o) + 4*b(o). What is the third derivative of d(f) wrt f? 78 Let y(g) be the third derivative of -3*g**8/2 + 709*g**5/60 - 56*g**2 - 2*g. Find the third derivative of y(z) wrt z. -30240*z**2 Let u(i) be the third derivative of 0*i - 72*i**2 + 0 - 71/60*i**5 + 13/24*i**4 - 1/6*i**3. Find the second derivative of u(b) wrt b. -142 Let g(o) = -o**2 - 2*o + 3. Let j be g(0). Let f be ((-8)/(-10))/((-2)/(-5)). Find the third derivative of 11*b**2 + 11*b**f - 14*b**2 - 32*b**j wrt b. -192 Let h(z) = 24*z**3 - 3*z**2 - 16*z - 2382. Let g(f) = -25*f**3 - f**2 + 12*f + 2383. Let l(x) = 4*g(x) + 3*h(x). Differentiate l(d) wrt d. -84*d**2 - 26*d Let g(a) be the second derivative of 1309*a**6/30 - 454*a**3/3 + 3*a**2/2 - 725*a. Find the second derivative of g(n) wrt n. 15708*n**2 Let b = -550 - -555. What is the third derivative of -4*h**2 - 29 + 2487*h - 2487*h - 172*h**b wrt h? -10320*h**2 Let h(o) = o**2 + 6*o - 58. Let s be h(6). Find the first derivative of 201 - 7*p**2 - 81 - s + p wrt p. -14*p + 1 Let l(z) = -z + 8. Suppose -m = 2*m - 2*j + 29, m = -5*j - 4. Let p be l(m). What is the third derivative of p*f**2 + 12*f**6 + 1686*f**5 - 1686*f**5 wrt f? 1440*f**3 Let u(j) = -j**2 + 8*j - 9. Suppose 7*x + a = 2*x + 27, 2*x = -2*a + 14. Let h be u(x). What is the first derivative of h - 15 + 18*z + 34 - 44*z wrt z? -26 Let o = -347 + 348. Let r(d) = -64*d**2 + 20*d - 52. Let b(a) = -a**2 + 4*a. Let c(x) = o*r(x) - 5*b(x). Find the first derivative of c(j) wrt j. -118*j Find the second derivative of 32704*s**2 - 32425*s**2 - 3*s**3 - 4*s**3 - 10566*s wrt s. -42*s + 558 What is the derivative of 949*p - 399 - 7*p**2 - 8*p**2 + p**2 + 16*p**2 + 147 wrt p? 4*p + 949 Suppose -87 + 23 = -16*y. Let q(g) = -49*g + 254. Let p(m) = -49*m + 255. Let v(f) = y*p(f) - 3*q(f). Find the first derivative of v(h) wrt h. -49 Let w = -17 + 19. Let a = -126 + 128. What is the third derivative of -w*l**4 - 14*l**2 - 6*l**2 + a - 2 wrt l? -48*l Suppose -q + 3*f = -106 + 118, 0 = -q - f + 4. Let u(h) be the first derivative of q*h**2 + 0*h**3 - 15*h + 29/4*h**4 + 3. Differentiate u(d) wrt d. 87*d**2 Let k = -43 + 96. Let t = k + -48. What is the second derivative of 2*n**5 - 51*n**4 + 51*n**4 - 14*n - 5*n**t wrt n? -60*n**3 Let b(v) = 2*v - 22. Let h(p) = p**3 + 12*p**2 + 13*p + 34. Let w be h(-11). Let n be b(w). What is the first derivative of 12 - n*c + 2*c - 25 + 2*c wrt c? 2 What is the second derivative of 11*r**3 + 8*r**2 + 1563*r + 142*r**5 - 11*r**3 + 133*r**5 - 274*r**5 + 2*r**4 wrt r? 20*r**3 + 24*r**2 + 16 Suppose 279 = 17*t - 8*t. Find the third derivative of -36*j**2 - t*j**2 + 9*j**3 + 23*j**2 wrt j. 54 Let d(b) be the third derivative of 0*b - 1/24*b**4 - 18*b**3 + 2*b**2 + 49. Find the first derivative of d(p) wrt p. -1 Let a(v) be the third derivative of -823*v**5/10 + 5*v**3/2 + 86*v**2 + 3*v + 4. Find the first derivative of a(w) wrt w. -9876*w Find the third derivative of -2*d**6 - 1131830 - 248*d**3 + 1131830 - 491*d**2 wrt d. -240*d**3 - 1488 Let b(h) = -3*h - 22. Let s be b(-8). Suppose 5*q = s*t + 17, 0*q - 4*t - 16 = -4*q. What is the second derivative of -q*v**4 - 2*v - 3*v**4 - 6*v**4 + v wrt v? -144*v**2 Suppose -9 - 15 = -5*m - 4*z, -7 = -3*m + 5*z. What is the second derivative of -3*j**m - 3*j**5 - 8*j - 2*j**4 + 36*j + 28*j - 1 + 2*j**5 wrt j? -20*j**3 - 60*j**2 What is the derivative of -2013 + 162*k**2 - k + 3563 + 5160 - 3*k - 14073*k**3 + 14070*k**3 wrt k? -9*k**2 + 324*k - 4 Let k(t) be the second derivative of 1001*t**4/6 - 1651*t**2/2 - 126*t. Differentiate k(p) wrt p. 4004*p Find the second derivative of 413*b**5 - 96*b**5 - 91*b**5 - 1476*b - 88*b**5 - b**2 - 94*b**5 wrt b. 880*b**3 - 2 Let h(s) be the third derivative of 139*s**5/5 + s**4/24 - 1775*s**3/6 + 3*s**2 + 1368. Find the second derivative of h(i) wrt i. 3336 Suppose 0*q + 4*t = 2*q - 16, q - 4 = 4*t. Suppose -10*l + q = -6*l. Find the third derivative of w**2 + 3*w**3 - 2*w**l + w**3 + 3*w**3 wrt w. 30 Let u(p) = -p**2 - 9*p - 12. Let c be u(-2). Find the second derivative of 35*g - 2 + 1 - 24*g + c*g**4 - 4*g**3 + 38*g wrt g. 24*g**2 - 24*g Let d(v) = 24*v**4 + 11*v**3 + 3*v + 1343. Let w(j) = 24*j**4 + 12*j**3 + 4*j + 1341. Let n(l) = -4*d(l) + 3*w(l). Find the first derivative of n(s) wrt s. -96*s**3 - 24*s**2 Let c(f) = 8348*f**4 - 12*f**2 - 8535. Let k(u) = 66783*u**4 - 94*u**2 - 68279. Let a(l) = 47*c(l) - 6*k(l). What is the derivative of a(t) wrt t? -33368*t**3 Find the third derivative of 380*a**2 - 459*a**6 + 21
{ "pile_set_name": "DM Mathematics" }
aa when four letters picked without replacement from aaahaaaahhahh? 28/429 Calculate prob of sequence neaa when four letters picked without replacement from anaaanaaaaaaaanaaeaa. 2/323 What is prob of sequence vq when two letters picked without replacement from vqv? 1/3 Calculate prob of sequence od when two letters picked without replacement from {d: 1, z: 1, f: 1, o: 1, i: 1}. 1/20 What is prob of sequence vm when two letters picked without replacement from ovmvq? 1/10 Calculate prob of sequence ilil when four letters picked without replacement from {i: 3, l: 4}. 3/35 What is prob of sequence rrzr when four letters picked without replacement from rrzrrz? 2/15 Calculate prob of sequence cbj when three letters picked without replacement from qyjjcbqqypypqqy. 1/1365 Four letters picked without replacement from usaqqsuauuqqqauulq. Give prob of sequence qqas. 1/408 Calculate prob of sequence wm when two letters picked without replacement from {l: 1, g: 6, m: 1, c: 3, w: 1, o: 3}. 1/210 Four letters picked without replacement from scmwwccdmwmsccwmpc. Give prob of sequence mmwm. 1/765 Four letters picked without replacement from {e: 7, s: 4}. What is prob of sequence sses? 7/330 What is prob of sequence zji when three letters picked without replacement from jjjjziizjzjiji? 1/26 Calculate prob of sequence nuu when three letters picked without replacement from ununnun. 4/35 Three letters picked without replacement from losoaollojjsmso. What is prob of sequence amo? 1/546 Four letters picked without replacement from {j: 1, q: 3, r: 6, k: 3, e: 1}. What is prob of sequence jerr? 5/4004 What is prob of sequence ddd when three letters picked without replacement from {d: 3}? 1 Calculate prob of sequence aa when two letters picked without replacement from {a: 5, f: 3}. 5/14 What is prob of sequence lpbd when four letters picked without replacement from {l: 4, p: 1, b: 6, d: 2}? 2/715 Two letters picked without replacement from {l: 5, r: 2, c: 4, w: 4, h: 1}. Give prob of sequence rr. 1/120 What is prob of sequence txx when three letters picked without replacement from {x: 3, t: 2}? 1/5 What is prob of sequence vddq when four letters picked without replacement from qfdquddfvdvdfqddvqd? 7/969 Calculate prob of sequence oi when two letters picked without replacement from {m: 1, o: 1, i: 1, y: 1, l: 2, p: 1}. 1/42 What is prob of sequence of when two letters picked without replacement from rfkorrkfdmk? 1/55 Two letters picked without replacement from hrrrk. Give prob of sequence hk. 1/20 Three letters picked without replacement from heaeeoh. What is prob of sequence aee? 1/35 What is prob of sequence bbff when four letters picked without replacement from {f: 7, b: 4}? 7/110 What is prob of sequence ggaa when four letters picked without replacement from {g: 9, a: 2}? 1/55 What is prob of sequence nngn when four letters picked without replacement from {g: 2, n: 3}? 1/10 Three letters picked without replacement from {a: 10, p: 2, v: 2, y: 4, l: 1}. Give prob of sequence aap. 10/323 Four letters picked without replacement from xqqqipkpqqqqqxqqxkqq. Give prob of sequence ippx. 1/19380 Three letters picked without replacement from {f: 3, z: 1, w: 2, k: 3, s: 1, n: 1}. Give prob of sequence nks. 1/330 Three letters picked without replacement from jzejddejjd. What is prob of sequence edz? 1/120 Calculate prob of sequence hhmq when four letters picked without replacement from rrqrqhhtmq. 1/840 What is prob of sequence xuc when three letters picked without replacement from xrurucrrrrxrrco? 4/1365 Calculate prob of sequence yyf when three letters picked without replacement from ykkfyyyk. 1/28 Three letters picked without replacement from tofetyfeyyeeeteey. What is prob of sequence fye? 7/510 Calculate prob of sequence ll when two letters picked without replacement from {b: 9, l: 2}. 1/55 Calculate prob of sequence qyl when three letters picked without replacement from {d: 1, y: 1, l: 1, q: 1, z: 1}. 1/60 Calculate prob of sequence dm when two letters picked without replacement from {c: 4, h: 7, d: 1, m: 1, o: 5, l: 2}. 1/380 Calculate prob of sequence hrrh when four letters picked without replacement from hrqqqrahcccrrhrhqhq. 25/5814 Three letters picked without replacement from {r: 1, j: 4, p: 2}. What is prob of sequence jpp? 4/105 Four letters picked without replacement from {m: 2, t: 4, r: 1, w: 2, f: 1, c: 7}. Give prob of sequence twfw. 1/7140 Calculate prob of sequence ecm when three letters picked without replacement from {c: 2, e: 1, m: 1}. 1/12 Two letters picked without replacement from {z: 3, h: 13}. Give prob of sequence zz. 1/40 Three letters picked without replacement from {y: 1, a: 3, x: 1, p: 3, v: 1, c: 6}. Give prob of sequence ppx. 1/455 Two letters picked without replacement from zgzmlgzvpgzlgzl. Give prob of sequence gm. 2/105 What is prob of sequence tr when two letters picked without replacement from tthtfrrffrhrr? 5/52 Four letters picked without replacement from beeeeebebtfebt. What is prob of sequence etbb? 1/143 What is prob of sequence asn when three letters picked without replacement from {x: 2, h: 4, a: 3, s: 2, n: 2}? 1/143 Calculate prob of sequence nnn when three letters picked without replacement from {k: 1, d: 8, i: 5, n: 5}. 10/969 Four letters picked without replacement from rtvvaratvpvtvarartta. What is prob of sequence pvvt? 5/5814 What is prob of sequence bhhh when four letters picked without replacement from {b: 10, h: 10}? 20/323 What is prob of sequence kh when two letters picked without replacement from {k: 1, h: 1, b: 1, j: 2, p: 1, z: 1}? 1/42 Three letters picked without replacement from gkkkkkkkgkgkgg. Give prob of sequence kgg. 15/182 Three letters picked without replacement from npmmphhhnhhhmphmphnn. What is prob of sequence hpn? 16/855 What is prob of sequence ulz when three letters picked without replacement from {z: 1, l: 3, n: 1, i: 1, u: 1}? 1/70 Calculate prob of sequence rrrr when four letters picked without replacement from rrrrrrr. 1 Three letters picked without replacement from slggslcsgggilsllb. Give prob of sequence gcb. 1/816 Three letters picked without replacement from {y: 1, m: 1, g: 1}. What is prob of sequence ygm? 1/6 What is prob of sequence mdmm when four letters picked without replacement from dddmdmdmdddddd? 1/364 Calculate prob of sequence lmm when three letters picked without replacement from lmmllkkkmlnmkmkkmkmk. 7/285 Three letters picked without replacement from {b: 2, l: 2, w: 4}. Give prob of sequence bbl. 1/84 Calculate prob of sequence nc when two letters picked without replacement from ceueeekpunnp. 1/66 What is prob of sequence fclf when four letters picked without replacement from {m: 7, l: 2, d: 2, f: 4, c: 2}? 1/1190 Calculate prob of sequence wan when three letters picked without replacement from {k: 6, t: 1, w: 2, z: 4, a: 1, n: 4}. 1/612 What is prob of sequence hh when two letters picked without replacement from {v: 2, t: 1, h: 4}? 2/7 What is prob of sequence cpjf when four letters picked without replacement from {p: 1, c: 1, f: 3, n: 1, j: 1}? 1/280 Two letters picked without replacement from llll. What is prob of sequence ll? 1 Two letters picked without replacement from rvrjrhjjjjlharrj. Give prob of sequence vl. 1/240 What is prob of sequence udm when three letters picked without replacement from mygdomu? 1/105 Three letters picked without replacement from edeeebebebebbmed. What is prob of sequence eem? 1/60 Two letters picked without replacement from {q: 3, z: 1, c: 7, f: 1, i: 4}. What is prob of sequence cf? 7/240 Four letters picked without replacement from jjjjjjjjffjjfj. What is prob of sequence ffjj? 5/182 What is prob of sequence jsys when four letters picked without replacement from {s: 3, j: 5, y: 3}? 1/88 Two letters picked without replacement from gbbbbgbbgbgbbbbg. What is prob of sequence gb? 11/48 What is prob of sequence ss when two letters picked without replacement from {s: 7, p: 3}? 7/15 Two letters picked without replacement from pddeoe. What is prob of sequence dp? 1/15 Two letters picked without replacement from {e: 10, g: 4}. What is prob of sequence ee? 45/91 What is prob of sequence ppe when three letters picked without replacement from {v: 1, e:
{ "pile_set_name": "DM Mathematics" }
- v)*(1204 - 1204 + 1674*v) + (v - 2*v + 3*v)*(1 + 2*v - 1) - 3*v**2 + 3*v**2 + v**2. 1679*v**2 Expand ((0*s + 0*s + 4*s)*(-5*s**2 + 10 - 10) + (2 + 0 + 0)*(-4*s**3 + s**3 - s**3))*(-5*s + s + 2*s). 56*s**4 Expand (-h - 4*h + 3*h)*(12 - 62 - 18) - 6*h + 4*h + 6*h + 0*h - h - 2*h. 137*h Expand (35 - 2*t - 35)*(-3 + 8 + 1) + (2 + 0 + 0)*(-1 - 1 + 0)*(0 - 3 + 2)*(-3*t - 9 + 4 + 3). -24*t - 8 Expand 8*f**2 + 4*f**5 - 8*f**2 + (2 - 2 + f)*(-4*f**4 - f**4 + 6*f**4) + 5429*f**4 + 2*f**5 - 3*f + 1 - 5429*f**4. 7*f**5 - 3*f + 1 Expand (-56 - 68 + 183*g + 125)*(-5*g**2 + 11*g**2 - 9*g**2). -549*g**3 - 3*g**2 Expand (-2 + 89*a - 179*a + 92*a - 229*a**2)*(-34 + 34 - 9*a**3). 2061*a**5 - 18*a**4 + 18*a**3 Expand (-3 + 15 + 6)*(10 + 8 - 7)*(-1 - 3 + 2)*(4*l + l - 3*l). -792*l Expand (-7*r + 3*r - 2*r)*(-r**2 + 4*r - 4*r) + (3 - 9 - 3)*(r + 0*r + 1 - 3*r)*(4*r**2 - 6*r**2 - 2*r**2). -66*r**3 + 36*r**2 Expand (-8*y - 67*y - 37*y)*(2 - 1 - 4)*(-2*y**3 - 3*y**3 + 12*y**3). 2352*y**4 Expand (0*g + 4*g - 2*g)*(-3*g**3 + g**3 + 0*g**3) + 21539*g - 412*g**4 - 21539*g. -416*g**4 Expand (-f**3 + f**3 - 2*f**4)*(-240 - 56 - 29). 650*f**4 Expand 2*i + 0*i - i - 18753 - 746*i + 18753 + 0*i + 2*i + 0*i - 3*i + i + 4*i + 1 - 2*i - 1 + (0*i + 2*i - 3*i)*(-5 + 1 + 5). -744*i Expand (-3*b - 1 + b + 2)*(-5 + 0 + 2)*(6 + 0 + 11). 102*b - 51 Expand (17*u - 2*u - 12*u)*(17*u + 354 - 354). 51*u**2 Expand -v**2 - v**2 + v**2 + (0 - 5 - 9)*(-25*v**2 + 46*v**2 + 6*v**2) - 2 + 4*v + 48*v**2 + 1 - 46*v**2. -377*v**2 + 4*v - 1 Expand (-1158 + 612 + 13647 + 1976 + 13052)*(0*f**4 + 0*f**4 + f**4). 28129*f**4 Expand -2 + 2 + z**2 + 2*z**2 - 2 + 2 + (-2*z + 0*z + z)*(0 + 0 - z) + (1 + 2 - 15)*(-1 + 3 + 0)*(-137*z + 137*z - 10*z**2). 244*z**2 Expand (22*n**3 + 8*n**2 - 8*n**2)*(-154 - 21 - 2) + 4*n**3 - 3*n**3 + 0*n**3. -3893*n**3 Expand -36*d - 948 + 948 + (-1 - 4 + 12)*(2*d - 4*d + d + (-5 + 2 + 1)*(5*d - d - 2*d) - 8 - 3*d + 8). -92*d Expand -5*p**2 - 5*p**2 + p**2 - p**2 - 5*p + 5*p + (2*p + 0*p + 0*p)*(3*p - 4*p - p) + 45 + 979*p - 2*p**2 - 979*p. -16*p**2 + 45 Expand -6*s + 3 - 3 + (-2*s + 5*s - s)*(351 + 45 + 80) + (0*s - s + 2*s)*(0 - 1 + 4). 949*s Expand (0*x - 3*x + x)*(-2*x**3 + 2*x**3 - 2*x**3) + x**4 - 5*x**4 + 2*x**4 + 2*x**3 - 2*x**3 + 2*x**4 + 158*x**4 + 1895*x**4 - 632*x**4 - 2 - x**4 + 2. 1424*x**4 Expand (6 + 3*i**2 - 6)*(-4 - 3*i**2 + 4) - 2*i + 75*i**4 - 1059*i**3 + 9*i**4 + 1059*i**3. 75*i**4 - 2*i Expand -u**4 + 0*u**4 + 0*u**4 + (1970 + 14*u**3 - 1970)*(32 + 36 + 9*u - 66). 125*u**4 + 28*u**3 Expand (-4*m + m + 2*m)*(1 + 2 - 4)*(-1 + 1 + 2)*(1019*m - 409*m + 1334*m). 3888*m**2 Expand (0*o**3 + 0*o**3 - 2*o**3)*(-o + o - 2*o) - 6*o**4 + 124*o**3 + 131*o**3 - 257*o**3 + o. -2*o**4 - 2*o**3 + o Expand (-2*z + 2*z - 5*z)*((-2*z + 2 - 2)*(-2 - 3 + 3) - 210 + 210 + 39*z)*((-2*z**2 - z + z)*(-6 + 3 + 2) + 4*z**2 + 2*z**2 - z**2). -1505*z**4 Expand (33*f + 33*f**2 - 33*f)*(42*f**2 - 77*f**2 + 39*f**2 + 2*f**2 - f**2 - 2*f**2 + (-f - 4*f + 3*f)*(0 + f + 0)). 33*f**4 Expand ((-7 + 2 + 0)*(1 + t - 1) + 4*t - 9*t - 3*t)*(6*t - 4*t + 3*t). -65*t**2 Expand -16 + 16 - 2*g**3 + (-5*g**2 - 7*g**2 + 4*g**2)*(58 - 21*g - 58). 166*g**3 Expand (4 + 0 - 3 + 2 + 2 - 2 + (3 - 1 - 3)*(3 - 4 - 1) - 6 + 0 + 4 + 1 + 3 - 5 + 0 + 2 - 1 - 4 - 2 + 5 - 339 - 53 + 42 - 199)*(9*q**4 - 24*q**4 - 17*q**4). 17504*q**4 Expand (34*h - 120*h + 27*h)*(-2*h - h + 4 - 5). 177*h**2 + 59*h Expand 28317*q - 1816*q + 49409*q + 17888*q + 25634*q + 2*q - q + q + (3*q + 2*q - 3*q)*(5 + 0 - 4). 119436*q Expand (-f + f + f)*(-1 + 33653*f**2 - 30882*f**2 + 0). 2771*f**3 - f Expand (18 - 18 - 6*p)*(-12473*p + 5 + 6186*p + 6234*p). 318*p**2 - 30*p Expand (17*s + s - s)*(3*s**3 + 0*s**3 - 2*s**3) - 17695*s**2 - 13 - 2*s**4 + 17695*s**2. 15*s**4 - 13 Expand -54202 - 1752*t**4 + 54202 + t**4 + t**4 - 3*t**4 + 0 + 2*t**4 + 0 + 0*t**3 - t**4 + 0*t**3 + (2*t**4 - 4*t + 4*t)*(2 - 2 - 2). -1756*t**4 Expand (-3*h + 0*h + h)*(3*h - 5*h + h) + (-1 + 0 - 1)*(2*h - h**2 - 2*h) + 10*h**2 - 61*h - 51*h + 140*h. 14*h**2 + 28*h Expand 2*i**3 - 1 + 1 + (-i + 1 - 1)*(-3*i + i**2 + 3*i) + (i**3 - 9*i - 7*i + 9*i)*(-401 - 432 - 280). -1112*i**3 + 7791*i Expand (-l + 2 - 2)*(10*l**2 + 32 - 32) + 4 - 15*l**3 - 6 + 20*l**3. -5*l**3 - 2 Expand (9 - 2 + 1)*(2*q + q + 3*q) - 9*q + q + 3*q. 43*q Expand (0*n**2 + 0*n**2 + n**2)*(13 + 11 + 156). 180*n**2 Expand ((69*w**2 - 77*w**2 + 80*w**2)*(-2*w - 2*w - w) + 0*w**3 + w**3 + 0*w**3)*(-2*w**2 - w**2 + 2*w**2). 359*w**5 Expand 165*u - 5398 + 5396 - 692*u + (3 - 4 + 3)*(2 - 2 - u) + 3 - 3 - u. -530*u - 2 Expand (-4 + 4 + 3*n)*(-109*n + 2 + 0 - 28*n). -411*n**2 + 6*n Expand 0*x**4 + 17*x**4 - 7*x**4 + (88*x**3 - 14*x**3 + 20*x**3)*(2 - 2 + x). 104*x**4 Expand (7*v**3 + 2860*v - 2860*v)*(2593*v - 2593*v - 1 + 59*v**2). 413*v**5 - 7*v**3 Expand (-1 + k + 1)*(38*k**3 - 30597164*k**2 - 43*k + 30597164*k**2) + (4*k**2 - 2*k**3 - 4*k**2)*(2*k - 2*k - 2*k). 42*k**4 - 43*k**2 Expand 91*m**2 + 49*m**2 + 0*m**2 + (2*m + 0*m - m)*(4*m + 0*m - 5*m) + 0*m**2 + 3*m**2 - 4*m**2 + (-1 + 1 + 3*m)*(-2*m + 5*m - 5*m). 132*m**2 Expand (32 - 11 + 12 - 1 + 3 + 30 + (0 - 2 + 1)*(-2 - 1 + 4))*(-3*q**4 + 2*q**4 + 0*q**4). -64*q**4 Expand (l**3 + 620934 + 20*l**2 + 0*l - 3*l - 620936)*(-4 + 2 + 3). l**3 + 20*l**2 - 3*l - 2 Expand (38 - 104 - 47)*(0*p - 2*p + 0*p)*(-3*p**2 + 6*p**2 - 2*p**2)*(-2*p**2 + 12*p**2 + 16*p**2). 5876*p**5 Expand (-3*k + 0*k - 3*k)*(-93*k**4 - 231*k**4 - 801*k**4). 6750*k**5 Expand (2*j + 2*j - 2*j)*(22 - 84 - 9)*(-3 - 1 + 5 + (6 + 1 - 5)*(5 - 4 + 1))*(-10*j**3 + 7*j**3 - 3*j**3). 4260*j**4 Expand (19*j + 22*j - 67*j**2 - 29*j**2 - 42*j)*(4 + 33 - 5). -3072*j**2 - 32*j Expand 3*s**3 + 3*s**3 - 5*s**3 + (-13 + 6 + 9)*(-3*s + 0*s + 2*s)*(51*s**2 + 10*s**2 + 14*s**2). -149*s**3 Expand (-5 + 4 + 6)*(-11 + 29 + 37)*(-58 - 51 + 2*g - 51 + 158). 550*g - 550 Expand -4*s - 2*s**3 + 7*s + 52*s**3 + (-3*s**2 + 4*s**2 + s**2)*(s + 3*s - 5*s) - 297*s + 41*s**3 + 297*s. 89*s**3 + 3*s Expand 2*h**4 - 55*h - 49*h + 100*h - 2*h**2 + (5*h - 4 + 4)*(16 + 4 - 8)*(-2*h**3 + 2*h**3 - 2*h**3). -118*h**4 - 2*h**2 - 4*h Expand (-765 - 350*t + 765)*(11*t + 7*t**4 - 11*t)*(2 - 3 - 1 + (3 - 1 - 1)*(-1 + 2 - 3) + 2 + 3 - 8). 17150*t**5 Expand (-2725 - 474 - 1183)*(-2 + 2 + o)*(1 + 3 - 2). -8764*o Expand -4 - 8*q**3 + 14*q + 5 + 11*q**3 + (-5 + 5 + q)*(1 - 1 + 2*q**2) + 5 - 5 + 3*q**3 + 2*q**3 + 0*q**3 - 4*q**3. 6*q**3 + 14*q + 1 Expand (-3 - 1 + 5)*(-5*g + 10*g + 9*g) - 95*g + 28*g + 16*g. -37*g Expand 1 - 5*z - 1 + (0*z - 6*z + 4*z)*(-1 - 2 + 1) - 33 + 33 + 5*z. 4*z Expand ((0*j + j - 2*j)*(-2 - 1 + 1) + (0*j + 2*j - 3*j)*(3 - 4 + 0) - 6*j + 54 - 54)*(-15 + 5 - 41). 153*j Expand ((3*f - f + f)*(-4 + 0 + 2) + (1 + 1 + 0)*(9 - 9 - 9*f) - 2*f + 0 + 0)*(1 - 4*f**2 - 1). 104*f**3 Expand (4*f - 4*f - 2*f)*(-3 + 11 + 0)*(-68*f + 20*f - 6*f) + 0 + 7 - f**2 - 4. 863*f**2 + 3 Expand (20*f + 3*f**3 + 1377 - 1377)*((f + 3*f - 3*f)*(-2*f - 4*f + 2*f) + 2*f**2 + 2*f**2 - 2*f**2 - 4*f**2 + 3*f**2 + 0*f**2). -9*f**5 - 60*f**3 Expand (-4 - 3*m + 4 + m + 0 + 0 + (-2 + 1 + 0)*(2*m - 2*m - m) + 2*m - 3*m + 2*m - m + 2*m - 3*m)*(727 + 2*m - 727 - 93*m). 182*m**2 Expand (-4 + 3 + 3)*(2 + 1 - 1)*(321 + 141 - 126)*(4*g - 5 + 5). 5376*g Expand (4*f**2 - 4*f**2 - f**2)*(-4*f**2 + 3*f**2 - f**2) + f**4 + f**2 - f**2 + (-832003 + 832003 + 24590*f**3)*((0 - 2*f + 0)*(-5 + 0 + 4) - 2*f + 5*f - 2*f). 73773*f**4 Expand (q - 4*q - 7*q)*(-5*q**3 + 4*q**3 + 0*q**3) - 19*q**4 + 20*q**4 - 19*q**4. -8*q**4 Expand (31185*r**2 + 2*r**3 - 48 - 31185*r**2)*(-4*r + 4*r - r) + (r**2 - r**2 + 2*r**2)*(-4*r + r + r)*(6*r + r + r). -34*r**4 + 48*r Expand (63*b + 19*b**2 - 63*b)*(474 - 768 + 140 + 493)*(-2 + 2 - 2). -12882*b**2 Expand (756*p**2 + 624*p**2 - 474*p**2)*(2*p**3 - 2 + 2) + (0 + 0 + 2*p**3)*(2 - 3*p**2 - 2). 1806*p**5 Expand (-5 + 5 + 2*y**2)*(y**2 + 4*y**2 - 3*y**2) + (10*y - 15*y - 19*y)*(-52*y**3 - 29*y**3 - 29*y**3). 2644*y**4 Expand (-3*n + 5*n + 0*n + (-1 - 1 + 3)*(5*n - n - 2*n) + 0*n - n + 0*n)*(-3*n + 3*n - 2*n)*(-342*n**2 - 423 + 423). 2052*n**4 Expand -6 + h + 6 + (-2 + 4 + 0)*(h + 2*h - 2*h) + (0 + 2 - 3)*(-131*h + 11*h + 56*h). 67*h Expand (-6 - 2*c**2 + 6 - 5)*(-17 + 17 + 4*c + c + 5*c - 4*c + (1 + 1 - 3)*(-2*c + 1 - 1) - 2*c - 2 + 2 + (-2*c + 3*c
{ "pile_set_name": "DM Mathematics" }