text
stringlengths
270
8.19k
meta
dict
z(r). Let x(p) = p. Determine f(x(h)). 7*h Let g(z) be the third derivative of z**5/15 - 232*z**2. Let p(l) = 41*l - 3. Give g(p(s)). 6724*s**2 - 984*s + 36 Let f(g) = -127*g. Let b(n) = -4*n**2 + 13*n**2 - 4*n**2 - 7*n**2. Determine b(f(l)). -32258*l**2 Let j(z) = -z**2. Let w(t) = -13406*t. Calculate w(j(b)). 13406*b**2 Let n(u) = u. Let c(d) be the second derivative of -d + 1 - 1/12*d**4 + 0*d**3 + 19*d**2. Give n(c(f)). -f**2 + 38 Let k(c) = 51326*c**2 + c. Let p(l) = -l. What is k(p(d))? 51326*d**2 - d Let q(z) = 4*z - 951. Let j(b) = -3*b - 19. What is q(j(p))? -12*p - 1027 Let b = 13 + -8. Let p be (-2)/1*b/(-5). Let a(u) = -23*u**2 + u - u + 22*u**p. Let f(g) = -5*g. Give a(f(t)). -25*t**2 Let s(q) = q. Suppose -2*r - 8 = -3*i, -r - i + 4 = -2. Let p(x) = -2*x**r - 4*x**2 - 2*x + 2*x. Give p(s(y)). -6*y**2 Let n(r) be the second derivative of -5*r**3/2 - 4*r + 9. Let f(g) = 2*g**2. What is n(f(p))? -30*p**2 Let j(g) = 49*g - 6*g - 43*g + 2*g**2. Let t(d) = d**2 + 23. Determine j(t(i)). 2*i**4 + 92*i**2 + 1058 Let q(d) be the first derivative of 54*d - d**2 - 7 - 54*d. Let b(z) = 18*z. What is q(b(t))? -36*t Let w(m) = 16*m. Let x(z) = 239*z**2 + 2*z. Determine w(x(s)). 3824*s**2 + 32*s Let m(g) = -45*g. Let w = 59 - 57. Let u(h) = -12*h**w - 14*h**2 + 28*h**2. Calculate m(u(v)). -90*v**2 Let w(j) = 259 - 12*j - 130 - j - 129. Let t(m) = 17*m. Determine t(w(c)). -221*c Let r(j) be the second derivative of j**4/24 - 11*j**2/2 + 4*j. Let h(i) be the first derivative of r(i). Let x(m) = -m**2. Calculate x(h(c)). -c**2 Let y(u) = u**2 - 3*u - 2. Let f be y(4). Let h(t) = 7*t**2 - 8*t**2 + 3*t**f. Let c(d) = 4*d**2. Calculate c(h(k)). 16*k**4 Let g = -38 - -40. Let r(h) = 1283 + 2*h**g - 1283. Let i(u) = 20*u**2 - 17*u - 17. Let p(m) = 7*m**2 - 6*m - 6. Let t(k) = 6*i(k) - 17*p(k). What is t(r(c))? 4*c**4 Let x(p) = -5*p**2 + 0*p**2 + 4*p**2. Let b(i) = 32*i**2 - 1 - 26*i**2 + 1. Calculate x(b(f)). -36*f**4 Let w = 22 + -20. Let p(d) = 14*d - 14*d + d**w. Let t(k) = 6*k + 4. Let v(z) = -z - 1. Let j(a) = -t(a) - 4*v(a). Give p(j(s)). 4*s**2 Let u(s) = -43*s**2. Let p(d) = -672*d. Determine u(p(v)). -19418112*v**2 Let a(z) = -13*z. Let y(q) = -8*q**2 - 5. Let t(h) = -2 + h**2 - 3*h**2 - 2*h**2 + 0*h**2. Let n(k) = -5*t(k) + 2*y(k). Give a(n(c)). -52*c**2 Let q(g) = -g**2. Suppose 16 = -5*p - 5*x + 1, -3*p = -5*x + 9. Let k(j) = -2*j**2. Let n(f) = p*q(f) + k(f). Let z(l) = 4*l. Calculate n(z(t)). 16*t**2 Let l(w) = w**2. Let p(v) = 17*v**2 + 13*v**2 + 19*v**2 - 4*v**2. What is l(p(y))? 2025*y**4 Let k(f) = -6*f - 9. Let s(l) = 8 + 3*l - 3 + 2 - 3. Let m(g) = 4*k(g) + 9*s(g). Let p(i) = 8*i**2. What is p(m(h))? 72*h**2 Let c(i) be the first derivative of -10*i**3/3 + 95. Let m(j) = -33*j. Give c(m(p)). -10890*p**2 Let j(t) = 14141 - 2*t**2 - 14141. Let v = 0 + 2. Let n(l) = -l**2 + 2*l**v + l**2. Calculate n(j(k)). 8*k**4 Let w(o) = 2*o. Let v(q) = -4 - 3 + 1 + 7. Let i(l) = 7*l + 2. Let d(p) = -3*p - 1. Let g(s) = -5*d(s) - 2*i(s). Let h(a) = -3*g(a) + 3*v(a). Calculate w(h(k)). -6*k Let b(x) = 494*x - 2. Let g(f) be the second derivative of -f**4/12 + 715*f. Determine b(g(u)). -494*u**2 - 2 Let l(v) = -256*v. Let d(h) = -51*h + 11. Let a(q) = -28*q + 6. Let t(u) = 11*a(u) - 6*d(u). Give l(t(k)). 512*k Let i(z) = -3*z. Let w(y) = -y**2 - 5*y + 8. Let h be w(-6). Let u(a) = -5 + 3 + 12*a**h + 2. What is u(i(n))? 108*n**2 Let c(z) be the first derivative of 0*z - 1/2*z**2 + 0*z**4 + 0*z**3 - 1/20*z**5 - 8. Let j(x) be the second derivative of c(x). Let l(u) = -2*u. Give j(l(r)). -12*r**2 Let l(w) be the second derivative of -1/6*w**4 - 6*w + 0*w**2 + 0*w**3 + 0. Let t(d) = -10*d. What is t(l(v))? 20*v**2 Let d(k) = 1802*k. Let u(i) = 86*i**2. Give d(u(p)). 154972*p**2 Let c(r) = -3*r**2. Let k be 20/(-160) - (-553)/8. Let b be (-6)/4*(-8)/6. Let g(y) = -69*y - y**b + k*y. Calculate c(g(p)). -3*p**4 Let d(m) = -2*m**2. Let a(t) be the third derivative of -t**4/4 + 36*t**2. Determine d(a(w)). -72*w**2 Let b(q) = -14*q. Let w be (9/(-3))/(-1)*15/9. Let x(z) = -3*z**2 - 5*z. Let c(j) = 4*j**2 + 7*j. Let o(n) = w*c(n) + 7*x(n). What is o(b(i))? -196*i**2 Let o(x) = 12*x - 4761. Let w(c) = -c. Calculate w(o(a)). -12*a + 4761 Let r(f) be the second derivative of 341*f**4/6 - 402*f. Let h(v) = -2*v**2. Calculate r(h(a)). 2728*a**4 Let u = 11 - 6. Suppose 5 = -u*l + 15. Let h(d) = -d + 5*d - l*d + 3*d. Let n(o) = -2*o**2. Determine n(h(g)). -50*g**2 Let k(z) = -2*z**2. Let g(n) = -89937*n**2. Give g(k(o)). -359748*o**4 Suppose 2*z + 3 = 11. Let g(k) = k - 1. Let w(x) = -8*x + 9. Let d(u) = z*g(u) + w(u). Let a(p) = p**2. What is d(a(b))? -4*b**2 + 5 Let v(j) = 13*j**2. Let b(q) = 231*q - 449*q + 233*q. Calculate v(b(d)). 2925*d**2 Let m(u) be the third derivative of -u**5/30 + 167*u**2. Let r(g) = 279*g**2. Calculate m(r(p)). -155682*p**4 Let a(c) = -25 + 50 - 24 - 11*c. Let s(p) = -21*p + 3. Let b(j) = -11*a(j) + 6*s(j). Let x(r) = -r. Determine x(b(o)). 5*o - 7 Let h(m) = 75 - 75 + 7*m. Let y(c) be the third derivative of 0*c + 0 + 4*c**2 + 1/30*c**5 + 0*c**3 + 0*c**4. What is y(h(l))? 98*l**2 Let a(s) = -16*s + 1. Let f(o) = -5395*o. Determine f(a(r)). 86320*r - 5395 Let i(f) be the first derivative of 2*f**3/3 + 83. Let s(w) be the first derivative of 13*w**2/2 + 1. Give i(s(k)). 338*k**2 Let a(s) be the third derivative of 13*s**5/15 + s**2 - 16*s. Let x(o) = -2*o**2. Give a(x(u)). 208*u**4 Let z(m) be the second derivative of -m**3/6 - 3*m**2/2 - 11*m. Let n(j) = -2*j - 5. Let y(g) = -3*n(g) + 5*z(g). Let s(t) = 2 - 8*t**2 - 2. Calculate y(s(v)). -8*v**2 Let n = 359 - 356. Let z(c) be the first derivative of 0*c + 0*c**2 + n - 1/3*c**3. Let y(b) = 6*b. Calculate z(y(i)). -36*i**2 Let n(c) = 1882*c - 962*c - 938*c. Let s(r) = -23*r**2. Give s(n(u)). -7452*u**2 Let v(q) = 17*q - 976. Let p(c) = c - 2. Determine v(p(o)). 17*o - 1010 Let x(y) = 22*y**2 + 2*y. Let p(w) be the first derivative of -w**2 - 140. Determine p(x(q)). -44*q**2 - 4*q Let f(y) = -3*y**2 + 16*y**2 + y**2. Let b(z) = -16*z - 3. Let j(h) = 26*h + 5. Let c(o) = 5*b(o) + 3*j(o). Give c(f(t)). -28*t**2 Let q(y) = -17*y**2. Let o(g) = 120*g - 100. Let h(z) = -7*z + 6. Let x(b) = -50*h(b) - 3*o(b). Calculate x(q(p)). 170*p**2 Let d(s) be the first derivative of -2*s**3 - 1. Let z(g) be the third derivative of -g**4/4 - 2215*g**2. Give d(z(k)). -216*k**2 Let g(i) = -2*i**2 + 4*i + 4. Let k(f) = -2*f**2 + 6*f + 6. Let v(o) = 3*g(o) - 2*k(o). Let t(z) = 3*z + 79. Calculate v(t(j)). -18*j**2 - 948*j - 12482 Let o(w) = 21*w. Let z(m) = 22*m**2 + 32*m. Let j(p) = 4*p**2 + 6*p. Let y(h) = -16*j(h) + 3*z(h). Calculate o(y(t)). 42*t**2 Let y(z) = -z + z - z**2. Let n(h) = 12*h**2 + 42*h + 21. Let k(p) = p**2 + 4*p + 2. Let d(m) = -42*k(m) + 4*n(m). What is d(y(s))? 6*s**4 Let m(w) = -5*w**2. Let t(a) be the third derivative of a**5/15 - a**2. Calculate m(t(h)). -80*h**4 Let f(j) = 5*j. Let a(h) = -20*h**2 + 435. Determine a(f(w)). -500*w**2 + 435 Let g(n) = -4*n + 4. Let v(l) = -l + 3. Let k(z) = z - 1. Let t(o) = -2*k(o) - v(o). Let c(h) = g(h) + 4*t(h). Let i(b) = -3*b**2. Give i(c(d)). -192*d**2 Let n(y) = -56*y**2. Let l(w) = -216*w + 1. What is n(l(m))? -2612736*m**2 + 24192*m - 56 Let g(n) = -83*n + 248. Let f(o) = 2*o. Give f(g(l)). -166*l + 496 Let n(k) = -18*k. Let s(i) be the third derivative of -i**5/60 + 97*i**2. Give n(s(d)). 18*d**2 Let l(o) = -7*o**2 - 35*o + 35. Let x(q) = 22*q - 1 - 23*q + 2. Let j(n) = l(n) - 35*x(n). Let t(i) = 4*i**2. Give t(j(k)). 196*k**4 Let h(i) = 85*i**2 - 6*i - 6. Let a(g) = -71*g**2 + 5*g + 5. Let t(b) = -6*a(b) - 5*h(b). Let r(o) = 6*o + 44. What is r(t(n))? 6*n**2 + 44 Let n(k) = -k + 1. Let b = -3 - -2. Let i(r) be the third derivative of r**3/6 - 12*r**2. Let g(y) = b*i(y) + n(y). Let p(m) = -7*m**2. What is p(g(u))? -7*u**2 Let t(g) = -30*g**2 + 5*g + 83*g**2 - 31*g**2 - 30*g**2. Let x(a) = -a. What is t(x(m))? -8*m**2 - 5*m Let v(n) = 265*n. Let s(m) = -366 + m**2 + 734 - 368. Give v(s(j)). 265*j**2 Suppose -3*u - 12 - 6 = 0. Let p(s) = 8 + 5 + 198*s - 181*s. Let r(m) = 4*m + 3. Let i(n) = u*p(n) + 26*r(n). Let t(v) = -14*v**2. Determine t(i(k)). -56*k**2 Let k(s) = 2*s**2 - 60*s. Let q(x) be the third derivative of -x**4/8 - 8*x**2 + 6*x.
{ "pile_set_name": "DM Mathematics" }
*4 + 1038*n**3 - n**2 - 4*n**4 - 2 + 2*n - 3125*n**3 + 1032*n**3 in the form g*n**3 + q + l*n**2 + j*n + t*n**4 and give l. -1 Rearrange 3030*p + 3 + 5569*p + 486*p - 3 to k + q*p and give k. 0 Express -1 + 3*w**2 + 1 + (w - 2*w + 2*w)*(0*w - w + 0*w) + (-3*w + 2*w + 2*w)*(4*w - 4*w + 2*w) - 5*w**2 - 12*w + 12*w in the form z + m*w**2 + k*w and give m. -1 Express -4*s**3 - 15*s**3 + 10*s**2 - 10*s**3 + 61*s**3 - 19*s**3 in the form v*s**2 + m*s**3 + o + d*s and give m. 13 Express 0*i - 16*i**3 + 3*i**4 + 2386*i**2 + 2 + i - 2376*i**2 in the form t*i**2 + g*i**3 + q*i + d*i**4 + l and give q. 1 Rearrange -2*i**2 - i - 1070*i**4 + 1 + 11*i**2 + 531*i**4 + 520*i**4 to the form s*i + p + n*i**3 + o*i**2 + g*i**4 and give s. -1 Express (13*j**3 - 56*j + 56*j)*(-1 + 0 - 1 + (-5 + 1 + 1)*(2 + 1 - 1) + 0 - 1 - 1) in the form a*j + x*j**3 + o*j**2 + v and give x. -130 Rearrange (-p + p + 2*p**2)*(255*p + 321*p - 400*p) + (-2 + 3 + 1)*(2*p + p**3 + 2*p**3 - p) to the form k*p + i*p**3 + f + a*p**2 and give k. 2 Rearrange -37 + 3628*t**2 + 88*t - 3609*t**2 - 90*t to the form p + d*t + i*t**2 and give d. -2 Rearrange -2166*h + 2203*h + 63*h**4 + 3*h**3 - 7*h**3 + 3*h**3 to the form d*h**4 + i*h**3 + x*h**2 + f*h + b and give f. 37 Rearrange (-2*u + 29 + 8*u - 28)*(2*u**2 - 3*u**2 + 4*u**2)*(-913 + 185 - 654) to w + y*u**3 + g*u + t*u**2 and give y. -24876 Express 2 + q**3 + 3*q + 5*q - 38*q - 1014*q**2 + 1012*q**2 in the form k*q + u*q**2 + o*q**3 + b and give o. 1 Express 2*d**4 - 26*d**2 - 1 + 32*d**2 - 21*d**2 + 4*d as b*d**2 + g + r*d**3 + x*d**4 + h*d and give b. -15 Rearrange -367*c - 3151*c - 3359*c - 3903*c to v + h*c and give h. -10780 Rearrange -10 + 14*t + 6*t - 23*t + t - 9*t + 0*t + (-2 + 5 - 1)*(-5*t + 8*t + 2*t) to v*t + s and give v. -1 Rearrange (0*n + n - 2*n)*(-2 + 2 - 1) - 1 + 1 - 2*n + n - 4*n + n + (n - 3*n + 0*n)*(1 + 0 + 0) + (-3 - 2 + 0)*(14*n + 378*n + 115*n) to d*n + t and give d. -2540 Rearrange 22 - 2*d**3 - 27058*d**2 + 8*d**4 + 11*d + 27053*d**2 + 10*d - 20*d to the form u*d**3 + l + o*d**4 + i*d**2 + j*d and give l. 22 Express 31*o**2 - 58*o**2 - 154*o**2 + 6*o - 21*o**2 - 296*o**2 in the form v*o**2 + j + s*o and give v. -498 Express (-d + 1 - 1)*(63 - 60 + 103)*(25*d**2 - 43*d**2 + 25*d**2) as l*d**2 + u + g*d + p*d**3 and give p. -742 Rearrange -6*k**3 + 2 + 3*k**3 - 5*k**2 - 162*k - 231*k - 137*k + 402*k to d + z*k**2 + j*k**3 + b*k and give b. -128 Express 33 + 855*d - 2*d**2 + 30 - 73 + 31 - 24 in the form b + o*d**2 + f*d and give f. 855 Rearrange 46*g**4 + 2*g**3 - 34*g**3 + 12*g**3 + 7 - 8 + g**2 + 9*g**3 to the form n*g + p*g**4 + b + w*g**2 + k*g**3 and give p. 46 Rearrange -51942162*r + 6 + 51942162*r + r**3 - 35*r**2 to x + j*r**3 + u*r**2 + c*r and give x. 6 Express 5083*h + 16*h**3 - 2560*h - h**4 - 2550*h as n*h + i*h**2 + w + l*h**4 + p*h**3 and give p. 16 Rearrange 1870 - 955 - 2*z**3 - 956 to w*z + u + i*z**3 + a*z**2 and give i. -2 Rearrange (-5*i**2 - 2*i + 6*i**2 + 0*i)*(22738 - 12864 + 9129) to h*i**2 + o*i + q and give o. -38006 Rearrange (-4*p**2 + 4*p**2 + 4*p**3)*(-3*p - 4*p + 5*p) - 2 + 0*p**4 + 0 - 6*p**4 to the form y + h*p + a*p**3 + s*p**2 + q*p**4 and give q. -14 Rearrange 3*f + 12 + f**4 - 12689*f**2 - 12 + 12689*f**2 - 400*f**3 to z*f**2 + p + m*f**3 + u*f**4 + i*f and give m. -400 Express 3 - 9 + 7 - 1 + 1780*x**2 in the form a*x**2 + o*x + i and give a. 1780 Express 142*i + 140*i + 141*i + 155 + 2*i**2 - 427*i in the form t*i + l + y*i**2 and give y. 2 Rearrange -5*b**3 + 82 - 164 + 84 - 2*b - 5*b**2 to u*b**3 + v*b**2 + i*b + m and give i. -2 Rearrange 38*n**2 + 311*n + 0*n - 40*n**2 + 527*n to the form j*n**2 + y*n + x and give y. 838 Rearrange -9288 + 9288 - 2041*u to n*u + a and give n. -2041 Rearrange -1483*s - 1266*s - 1463*s + 3048*s to the form c*s + x and give c. -1164 Rearrange (-1 + 0 + 0)*(-1247 + x - 670 - x**2 - 1976) to y + t*x**2 + u*x and give t. 1 Rearrange 10*g**3 - 19*g**3 + 0*g**2 - 18*g**3 + 2 + 23*g**3 + g**2 + 132*g to the form q*g**2 + r + m*g + y*g**3 and give r. 2 Rearrange 1983*c + 6993*c + 10992*c + 829*c + 2885*c to the form o + n*c and give n. 23682 Rearrange 12 - 48 + 6 + 13 + 3*n**2 + n + 4*n**3 + 16 to w + x*n + v*n**3 + f*n**2 and give x. 1 Express 0*g**2 - 2*g**2 - 11 - 725*g**3 + 4*g + 724*g**3 as j*g + d + n*g**3 + m*g**2 and give d. -11 Rearrange (-4 + 7 + 0)*(-o - 12*o + 5*o)*(11 + 0 + 0) to g + a*o and give a. -264 Express (176*b**2 - 561*b**2 + 990*b**2)*(-2 + b + 2) in the form s + c*b**2 + q*b + z*b**3 and give z. 605 Express (-3*f + 4*f + 5*f)*(-3 - 1 + 3)*(-14 + 14 - 109*f)*(6 + 16 - 1) as n*f + o*f**2 + u and give o. 13734 Rearrange -185*r**4 + 0 - 10347*r + 2 + 5173*r - 3*r**2 - r**3 + 5172*r to m*r**3 + h*r**4 + i*r + n + s*r**2 and give h. -185 Express (4*j + 9*j + 9*j)*(38 - 12 + 1)*(j + j - 6*j) as c*j**2 + v*j + u and give c. -2376 Rearrange 6*y + 6*y - 24*y + 9*y + 0*y - 18 - 3*y**2 to the form z*y + w + n*y**2 and give n. -3 Express (-2*j**3 + j**4 + 2*j**3)*(-3 - 2 + 3) + 434*j**4 - 892*j**4 + 455*j**4 + 1352*j**3 as v*j**2 + a + f*j**4 + n*j**3 + u*j and give f. -5 Rearrange -4*x + x + x**2 + 3*x - 563 + 634 to v*x**2 + r + l*x and give r. 71 Rearrange 6*g + 3*g + g + (0*g + g - 9*g)*(232 + 186 - 247) + 1 - 1 - g to the form y*g + d and give y. -1359 Express (23*a - 21 + 21)*(-5 + 12 - a**3 + 2 - 7*a**2) in the form n*a**4 + m*a + s*a**3 + v + x*a**2 and give m. 207 Express 45*k**2 - 644*k - 3 - 47*k**2 + 643*k - 1242*k**4 as j*k**4 + u*k**3 + g*k + n*k**2 + x and give x. -3 Express -4*l**2 - 4683*l + 37*l**3 + 4683*l + (l**2 + 1 - 1)*(-l + 5*l - 2*l) as k + d*l**3 + w*l**2 + i*l and give d. 39 Express 6271*k**2 - 3129*k**2 + 2*k - 3126*k**2 in the form t + h*k + l*k**2 and give l. 16 Express 19*j - 17*j + 933539 - 936906 in the form o*j + l and give o. 2 Express -3396*o**2 + 28*o - 884*o**2 - 28*o as n + v*o**2 + s*o and give v. -4280 Express (-3*r**3 + 9*r**3 - r**3)*(-3 + 3 - 2) - 1640 + 257*r**3 + 1640 as x*r**3 + a*r + o*r**2 + j and give x. 247 Express 1 - 2*m - 1 + (66*m - 7 + 0 + 8)*(-3 - 4 + 0) in the form u + a*m and give a. -464 Rearrange -3*f**2 - 16481*f**3 - 2 + 3 + 17374*f**3 to the form y + z*f**2 + b*f**3 + n*f and give z. -3 Express -163*y**2 + y**4 - y**4 - y**4 - 2 - 61*y**2 + 28*y**2 - 3*y**3 in the form f*y**3 + l + s*y**4 + h*y**2 + t*y and give s. -1 Rearrange (4*t - 3*t - 4*t)*(-9 + 3 + 0 + (0 - 3 + 0)*(1 + 2 - 4))*(-1 + 1 - 1)*(5 - 20 + 14) to g + b*t and give b. 9 Express 190*g + 973*g + 318*g + 608*g + 1206*g in the form w*g + a and give w. 3295 Rearrange 117*p**3 - 2685 - 60*p**3 - 55*p**3 + 0*p - p + p**2 to h*p**2 + w + i*p**3 + x*p and give h. 1 Rearrange -131*f - 4 + 2 + 13 - 11 - 5 to v + c*f and give c. -131 Rearrange (-24 - 26 + 17)*(-3*p + p + 3*p) + 489*p - 543*p + 967*p + (2 - 4 + 1)*(1 - 1 + p) to the form f*p + u and give f. 879 Express (-1 + 2 + 1)*(-4*h + h - 5*h) - 2*h - 1 + 1 - 2 + 39*h - 12*h - 18*h as k*h + f and give f. -2 Express (-17 + 17 + 2*j**2)*(0*j + 3*j - 4*j + (2 - 2 - j)*(3 + 2 - 4) + j - 512 + 129 - 130) in the form m + s*j + v*j**3 + z*j**2 and give v. -2 Rearrange 11*v**4 - 11*v**2 + 2 + 11*v**4 - 30*v**4 + 4*v**4 + 3*v - v**4 to b*v**3 + c*v**4 + q*v**2 + y*v + l and give q. -11 Rearrange 821 + 634 - 2268 - 6*z + 5*z to the form g*z + h and give g. -1 Express -2*i**4 - 3*i**3 - 5 - 80*i**2 + 4*i**3 + 3 - 70*i + 46*i as d*i**2 + g*i + n*i**3 + z + v*i**4 and give n. 1 Rearrange -17787*g**4 - 2*g + 8894*g**4 + 8895*g**4 - 6192*g**2 to the form l*g**4 + x*g**3 + v*g + d*g**2 + q and give x. 0 Express (-224*w**4 - 219*w**4 + 75*w**3 + 6 + 441*w**4)*(2 + 3 + 1) in the form f*w**4 + l + t*w**3 + m*w + a*w**2 and give l. 36 Express -163*h - 16*h + 404*h + 234*h in the form x + l*h and give l. 459 Rearrange 9980*m + 4162*m - 1481*m to z*m + u and give z. 12661 Rearrange -19 + 23*p**3 + 16 - 14*p**3 + 129 + 134 to d*p**2 + c*p**3 + h*p + f and give c. 9 Rearrange k + 11 - 12*k**4 + 2*k**2 + 139*k**3 - 10 + 139*k**3 + 128*k**3 - 416*k**3 to the form w + n*k**2 + b*k**3 + o*k + y*k**4 and give o. 1 Rearrange (-117*h**2 + 36*h + 108*h**2 - 42*h)*(-475 - 36*h**2 + 475) to q*h + m + i*h**4 + p*h**2 + a*h**3 and give a. 216 Rearrange a - 8 - a**3 + 18 - 75*a**2 - 1 + 39 + 90*a**2
{ "pile_set_name": "DM Mathematics" }
71009 a prime number? False Is 14825333 a prime number? True Is 42443239 composite? False Is 6555833 prime? True Is 30588361 composite? True Is 338453603 prime? False Is 103921045 prime? False Is 2746069 a prime number? False Is 148217369 a prime number? True Is 5646149 prime? False Is 20240431 composite? False Is 1053233 a prime number? True Is 1915213 composite? False Is 74655157 prime? True Is 48287177 composite? True Is 391468949 a prime number? True Is 42137419 prime? True Is 210929 a composite number? False Is 238381001 prime? True Is 157945087 a prime number? True Is 302726771 a prime number? False Is 30562553 a prime number? False Is 22434977 composite? False Is 1520767 a composite number? True Is 2212433 composite? False Is 781271 prime? True Is 2547851 composite? True Is 7310189 a prime number? True Is 629214853 composite? False Is 280415117 composite? False Is 2640059 prime? True Is 9690407 a prime number? True Is 2432231 a composite number? True Is 380983 prime? True Is 14519 a prime number? True Is 22318466 composite? True Is 282021 prime? False Is 58171559 prime? False Is 330323 composite? True Is 7371797 a composite number? False Is 540222313 a composite number? True Is 1326131 prime? False Is 2094973 prime? True Is 7774631 a composite number? False Is 3414913 a composite number? False Is 216893513 composite? False Is 1517507 a composite number? False Is 307018009 composite? False Is 13397311 composite? False Is 3413899 a composite number? True Is 248557 prime? False Is 31184827 a prime number? False Is 16200601 a prime number? False Is 497588821 composite? True Is 41281 prime? True Is 58958399 a prime number? True Is 80765579 a composite number? False Is 6006683 prime? False Is 10483513 a prime number? False Is 1012967 prime? True Is 35725713 a composite number? True Is 4704641 prime? False Is 50398493 composite? True Is 521309 composite? False Is 664889 composite? True Is 52467451 a composite number? False Is 132109613 composite? False Is 8578694 composite? True Is 55370179 prime? False Is 913693 prime? False Is 74767051 prime? True Is 118068833 a prime number? False Is 47417569 composite? True Is 19607691 composite? True Is 2773789 a composite number? False Is 610839707 a prime number? True Is 22645309 composite? True Is 8152549 a prime number? True Is 82108003 a prime number? False Is 16051201 composite? False Is 38420587 composite? True Is 176334559 a prime number? True Is 110985583 composite? False Is 21893009 prime? True Is 725579 a prime number? True Is 80762771 composite? True Is 14585801 prime? False Is 130171 composite? False Is 2092669 a composite number? True Is 151914677 prime? True Is 29599763 composite? True Is 33377273 a prime number? False Is 20655367 composite? False Is 6391865 a prime number? False Is 13930789 composite? False Is 15496577 a prime number? True Is 851491 composite? False Is 204773389 composite? False Is 51708953 a prime number? False Is 79681031 a prime number? False Is 1887341 prime? True Is 3792077 a composite number? True Is 8093483 a composite number? False Is 21111485 composite? True Is 1826497 prime? False Is 836999 a composite number? True Is 93278063 a composite number? False Is 4345277 a prime number? True Is 279100343 a composite number? False Is 412409 a prime number? False Is 26702857 prime? True Is 240319 composite? False Is 5962837 a prime number? True Is 7138583 a prime number? False Is 945356829 composite? True Is 177107 a composite number? True Is 17802349 a prime number? False Is 15353095 a composite number? True Is 3411227 a composite number? True Is 48464527 a composite number? False Is 9026387 a composite number? True Is 562169 a composite number? False Is 949877 a prime number? False Is 5371969 composite? True Is 123271033 a composite number? False Is 693223 a composite number? False Is 3522901 a composite number? False Is 7095197 composite? False Is 3280391 a composite number? False Is 66559061 a composite number? False Is 2876443 composite? False Is 38782937 prime? False Is 98786651 prime? False Is 3091937 prime? False Is 17528059 a composite number? False Is 16493294 a prime number? False Is 487063 prime? False Is 76451351 composite? False Is 62454419 composite? False Is 1403009 composite? False Is 198811 prime? True Is 976177 a prime number? True Is 491585357 a prime number? True Is 22635659 a composite number? False Is 39072053 composite? True Is 6280367 composite? False Is 677929 composite? True Is 23657401 composite? True Is 85277579 a prime number? False Is 11421599 prime? False Is 4291673 a composite number? False Is 23983 composite? True Is 139169 prime? True Is 18352577 a composite number? True Is 56786683 composite? False Is 652319 composite? False Is 3074399 a composite number? True Is 164101601 a composite number? True Is 2604253 prime? True Is 176794279 composite? True Is 8714809 a composite number? True Is 1650323 composite? True Is 2796083 prime? True Is 5163293 a prime number? False Is 128927837 a composite number? False Is 13155719 a prime number? False Is 39430889 prime? False Is 1120073 a composite number? False Is 11705161 prime? False Is 43028563 a composite number? True Is 243151169 a prime number? True Is 2237743 prime? True Is 9889207 a prime number? True Is 2648744587 a composite number? False Is 69140287 a composite number? True Is 33722719 a prime number? True Is 4968719 a composite number? True Is 21698857 prime? False Is 8702101 composite? True Is 758030305 prime? False Is 692454649 prime? False Is 57060529 a composite number? False Is 18326534 a composite number? True Is 76223723 composite? True Is 25305097 a composite number? False Is 44398238 composite? True Is 75263869 a prime number? False Is 1694996501 prime? False Is 102037421 a prime number? True Is 46342265 a prime number? False Is 3453571 composite? True Is 7520459 prime? True Is 33837559 composite? True Is 836681 a composite number? True Is 502075619 a composite number? True Is 67132257 a prime number? False Is 22830079 a composite number? False Is 1983689 a composite number? False Is 339847213 a prime number? True Is 12671023 prime? True Is 259724287 a composite number? True Is 1518383 a prime number? True Is 195964907 prime? True Is 2556929 composite? True Is 2097451 a prime number? True Is 2405489 composite? True Is 1450903 a prime number? True Is 189810857 prime? True Is 25059523 a prime number? True Is 6153311 composite? False Is 8266889 a prime number? True Is 3199613 a prime number? True Is 26040629 composite? False Is 30954551 prime? True Is 252349 prime? False Is 14352913 prime? False Is 25123533 prime? False Is 114144509 a composite number? True Is 104159507 composite? False Is 311603 prime? True Is 2224231 composite? False Is 369522593 a prime number? False Is 2957753 a composite number? False Is 1017529 prime? False Is 41812009 prime? False Is 121505581 a prime number? True Is 10564159 composite? False Is 90042853 a composite number? False Is 120609757 a composite number? False Is 473502811 prime? True Is 1054255477 composite? True Is 44983417 prime? True Is 14824114 a composite number? True Is 41888929 prime? True Is 8869061 a composite number? False Is 1584133 prime? False Is 56499043 a composite number? False Is 1356427 a composite number? False Is 8160049 composite? True Is 32491 composite? False Is 507202 a prime number? False Is 52605802 prime? False Is 362851 composite? False Is 316117259 a composite number? False Is 8546477 composite? False Is 29644267 composite? True Is 119147111 a prime number? False Is 88976343 a composite number? True Is 3417923 prime? True Is 221849 composite? False Is 118251829 prime? True Is 17707 a composite number? False Is 12043067 prime? True Is 267769231 composite? True Is 309532933 a composite number? True Is 129859193 a prime number? True Is 5719145 a prime number? False Is 67546727 prime? False Is 33553447 composite? True Is 8463313 a composite number? False Is 156271231 a composite number? False Is 383981209 a composite number? False Is 472891 a prime number? False Is 2016961 prime? False Is 8380597 a composite number? False Is 505339 prime? True Is 43522877 composite? True Is 122854451 a prime number? True Is 73818683 a pr
{ "pile_set_name": "DM Mathematics" }
is the tens digit of 36456? 5 What is the units digit of 3841? 1 What is the units digit of 4207? 7 What is the hundreds digit of 2714? 7 What is the thousands digit of 7646? 7 What is the units digit of 13019? 9 What is the ten thousands digit of 137484? 3 What is the thousands digit of 8218? 8 What is the units digit of 5? 5 What is the hundreds digit of 1610? 6 What is the thousands digit of 3063? 3 What is the thousands digit of 7437? 7 What is the hundreds digit of 725? 7 What is the hundreds digit of 4925? 9 What is the tens digit of 2379? 7 What is the hundreds digit of 18616? 6 What is the hundreds digit of 2438? 4 What is the hundreds digit of 7768? 7 What is the tens digit of 1379? 7 What is the thousands digit of 2159? 2 What is the tens digit of 2333? 3 What is the tens digit of 4077? 7 What is the tens digit of 10862? 6 What is the units digit of 1626? 6 What is the ten thousands digit of 81526? 8 What is the ten thousands digit of 90368? 9 What is the thousands digit of 2320? 2 What is the hundreds digit of 2322? 3 What is the tens digit of 894? 9 What is the thousands digit of 1037? 1 What is the units digit of 237? 7 What is the tens digit of 8476? 7 What is the units digit of 119020? 0 What is the hundreds digit of 16123? 1 What is the tens digit of 86? 8 What is the units digit of 5054? 4 What is the hundreds digit of 2725? 7 What is the thousands digit of 3131? 3 What is the hundreds digit of 6680? 6 What is the tens digit of 301? 0 What is the units digit of 3652? 2 What is the tens digit of 526? 2 What is the units digit of 7211? 1 What is the tens digit of 6215? 1 What is the units digit of 1849? 9 What is the ten thousands digit of 24600? 2 What is the thousands digit of 1202? 1 What is the tens digit of 3990? 9 What is the tens digit of 13887? 8 What is the tens digit of 32283? 8 What is the thousands digit of 100541? 0 What is the hundreds digit of 3893? 8 What is the hundreds digit of 94330? 3 What is the thousands digit of 17406? 7 What is the units digit of 3399? 9 What is the ten thousands digit of 34986? 3 What is the tens digit of 7843? 4 What is the units digit of 16494? 4 What is the units digit of 17854? 4 What is the hundreds digit of 1445? 4 What is the tens digit of 1492? 9 What is the tens digit of 84095? 9 What is the thousands digit of 13298? 3 What is the thousands digit of 2414? 2 What is the hundreds digit of 7435? 4 What is the hundreds digit of 1294? 2 What is the hundreds digit of 9923? 9 What is the tens digit of 800? 0 What is the hundreds digit of 11366? 3 What is the ten thousands digit of 67630? 6 What is the ten thousands digit of 99855? 9 What is the tens digit of 8286? 8 What is the units digit of 770? 0 What is the tens digit of 2299? 9 What is the ten thousands digit of 32423? 3 What is the units digit of 24588? 8 What is the ten thousands digit of 43599? 4 What is the units digit of 4546? 6 What is the thousands digit of 155713? 5 What is the units digit of 85545? 5 What is the units digit of 33331? 1 What is the units digit of 393? 3 What is the thousands digit of 37034? 7 What is the hundreds digit of 1529? 5 What is the hundreds digit of 8601? 6 What is the tens digit of 39938? 3 What is the ten thousands digit of 24575? 2 What is the thousands digit of 13990? 3 What is the tens digit of 1866? 6 What is the hundreds digit of 19859? 8 What is the hundreds digit of 1031? 0 What is the tens digit of 31548? 4 What is the thousands digit of 14294? 4 What is the tens digit of 952? 5 What is the hundreds digit of 39336? 3 What is the tens digit of 2251? 5 What is the tens digit of 18620? 2 What is the tens digit of 17287? 8 What is the ten thousands digit of 67165? 6 What is the units digit of 6803? 3 What is the thousands digit of 89915? 9 What is the hundreds digit of 5748? 7 What is the tens digit of 3435? 3 What is the units digit of 19568? 8 What is the units digit of 26805? 5 What is the hundreds digit of 20515? 5 What is the hundreds digit of 199? 1 What is the hundreds digit of 30556? 5 What is the hundreds digit of 67271? 2 What is the units digit of 331? 1 What is the tens digit of 18747? 4 What is the ten thousands digit of 55383? 5 What is the hundreds digit of 13032? 0 What is the thousands digit of 27250? 7 What is the ten thousands digit of 183989? 8 What is the hundreds digit of 1822? 8 What is the ten thousands digit of 24674? 2 What is the hundreds digit of 2522? 5 What is the thousands digit of 54933? 4 What is the units digit of 664? 4 What is the tens digit of 1428? 2 What is the hundreds digit of 54353? 3 What is the thousands digit of 1996? 1 What is the thousands digit of 2152? 2 What is the hundreds digit of 1155? 1 What is the hundreds digit of 25088? 0 What is the units digit of 16743? 3 What is the units digit of 6168? 8 What is the hundreds digit of 906? 9 What is the tens digit of 51530? 3 What is the ten thousands digit of 29300? 2 What is the tens digit of 26675? 7 What is the thousands digit of 6563? 6 What is the units digit of 1220? 0 What is the ten thousands digit of 42165? 4 What is the units digit of 1264? 4 What is the hundreds digit of 63320? 3 What is the thousands digit of 7491? 7 What is the ten thousands digit of 11608? 1 What is the thousands digit of 2020? 2 What is the hundreds digit of 2756? 7 What is the thousands digit of 2384? 2 What is the tens digit of 364? 6 What is the hundreds digit of 1808? 8 What is the units digit of 2723? 3 What is the hundreds digit of 7298? 2 What is the hundreds digit of 9037? 0 What is the thousands digit of 1413? 1 What is the hundred thousands digit of 177326? 1 What is the units digit of 52913? 3 What is the thousands digit of 11241? 1 What is the units digit of 28013? 3 What is the tens digit of 26767? 6 What is the thousands digit of 101926? 1 What is the ten thousands digit of 138320? 3 What is the hundreds digit of 9773? 7 What is the tens digit of 15010? 1 What is the tens digit of 891? 9 What is the units digit of 33356? 6 What is the tens digit of 4252? 5 What is the units digit of 11119? 9 What is the hundreds digit of 162? 1 What is the tens digit of 96357? 5 What is the units digit of 5734? 4 What is the tens digit of 8611? 1 What is the tens digit of 79726? 2 What is the hundreds digit of 38816? 8 What is the tens digit of 252? 5 What is the tens digit of 185? 8 What is the thousands digit of 44358? 4 What is the tens digit of 11265? 6 What is the units digit of 4473? 3 What is the ten thousands digit of 112934? 1 What is the hundreds digit of 18711? 7 What is the tens digit of 279? 7 What is the thousands digit of 29911? 9 What is the units digit of 573? 3 What is the hundreds digit of 445? 4 What is the tens digit of 6383? 8 What is the units digit of 1415? 5 What is the thousands digit of 22609? 2 What is the hundreds digit of 14290? 2 What is the units digit of 4794? 4 What is the thousands digit of 33397? 3 What is the thousands digit of 7498? 7 What is the hundreds digit of 4093? 0 What is the hundreds digit of 125383? 3 What is the thousands digit of 33523? 3 What is the thousands digit of 21373? 1 What is the units digit of 2217? 7 What is the ten thousands digit of 190484? 9 What is the units digit of 3461? 1 What is the units digit of 1162? 2 What is the hundreds digit of 9270? 2 What is the units digit of 21716? 6 What is the tens digit of 874? 7 What is the units digit of 2948? 8 What is the tens digit of 160015? 1 What is the tens digit of 27279? 7 What is the units digit of 96828? 8 What is the tens digit of 1667? 6 What is the units digit of 497? 7 What is the hundreds digit of 8843? 8 What is the units digit of 51353? 3 What is the thousands digit of 4283? 4 What is the hundreds digit of 727? 7 What is the hundreds digit of 7787? 7 What is the hundreds digit of 8407? 4 What is the units digit of 32716? 6 What is the units digit of 575? 5 What is the thousands digit of 9238? 9 What is the tens digit of 7680? 8 What is the tens digit of 9776? 7 What is the ten thousands digit of 23954? 2 What is the hundreds digit of 283? 2 What is the tens digit of 17637? 3 What is the units digit of 1604? 4 What is the units digit of 15262? 2 What is the tens digit of 880? 8 What is the units
{ "pile_set_name": "DM Mathematics" }
for w. 4 Solve 2 = 5*m - 2*u, 4*m + 462*u = 461*u + 12 for m. 2 Solve 3*d + 2*k = 85, -375*d + 3*k = -379*d + 114 for d. 27 Solve -3*j + 380*q - 384*q - 14 = 0, -4*j = 99*q + 206 for j. -2 Solve 2*v - 2*a - 12 = 0, 79*v + 8 = 72*v - 3*a for v. 1 Solve 67*t = 63*t + 20, -11*r - 4*t = 35 for r. -5 Solve -20*v + 4*k - 60 = 0, 20*v - 5*k - 60 = 22*v for v. -5 Solve 4*h + 7*k = -31, -11*h + 12*h = -5*k - 11 for h. -6 Solve -3*m = 5*g - 70 + 27, 19 = -g + 4*m for g. 5 Solve -5*l - 53 = -p, 2451*l - 2*p = 2433*l - 194 for l. -11 Solve -15*r + 19*r + 3*p - 24 = 0, p = -4*r + 16 for r. 3 Solve 2*h - 5*c = 34, -3*c = -93*h + 96*h - 9 for h. 7 Solve 2*c = 3*x + 6, 78*x - 15 = 83*x - 5*c for x. 0 Solve 2*z + 18 = -b, 90 = -2*z + 25*b + 72 for z. -9 Solve -3*p - 39 = -g - 33, 0 = g - 2*p - 3 for g. -3 Solve 179 = -3*c - w + 167, -5*c - w - 20 = 0 for c. -4 Solve -4*n = -2*m + 12, 2*m - 85 + 77 = 2*n for m. 2 Solve 15*k - 14*k - 43 = 2*o, 2*o + 40 = 4*k for k. -1 Solve -61 = -g - f - 65, 11 = -2*g - 5*f for g. -3 Solve 3*n = 3*d + 27, -n - 39 + 76 = -5*d for d. -7 Solve -4*d = 3*h - 21, -129*d = -127*d + 12*h - 42 for d. 3 Solve -5*n + 14*w - 15*w = -16, -5*w - 40 = -5*n for n. 4 Solve -q + 32 = -2*r + 42, -5*r - q = -18 for r. 4 Solve 17*k - 12*k = 4*p - 3, 2*k + 11 = 3*p for k. 5 Solve -11*l = 3*w + 6496 - 6433, 4 = -2*w - l for w. 1 Solve -3*b - 5*d + 281 = 259, -2*b - 2*d = -8 for b. -1 Solve 4*a + 8 = 2*d + 24, 5*d = -2*a - 16 for d. -4 Solve -5*o + 2*t = -8, 5 = o + 13*t - 10*t for o. 2 Solve -12*m + m + 7*v + 50 = 0, 5*m + 17 = -2*v - 38 for m. -5 Solve 30*v - 4*s = 31*v - 10, v - 18 = 4*s for v. 14 Solve i = -2*w - 15, -1083*i = 3*w - 1085*i + 5 for w. -5 Solve -3*i = 4*c - 2, i - c = -6*c - 3 for i. 2 Solve 3*g + 3*a + 69 = 0, 14*g + 76*a = 71*a - 304 for g. -21 Solve 192*f = 13*g + 193*f + 140, -g = -3*f + 20 for g. -11 Solve 3*u - m + 10324 - 10340 = 0, 3*u + 4*m = 11 for u. 5 Solve 9*z = 4*z - 2*j - 15, -4*z + 7*j - 55 = 0 for z. -5 Solve -5*t - 143*f + 50 = -148*f, 0 = -2*t + 5*f + 32 for t. 6 Solve 5*p + 2*n - 29 = 0, -2*n + 7 = -n for p. 3 Solve 4*z + 7 = -n, n + 3824 = 5*z + 3844 for n. 5 Solve 6*j = c + c + 3*j + 4, 6*j = 2*j for c. -2 Solve 83*m - 3 = -5*d + 84*m, -3*d = m - 5 for d. 1 Solve 5*r = 4*x + 6*x - 5*x, -20 = -r - 3*x for r. 5 Solve 2*u + 2 = -6*c, 13*c - 12*c + u + 35 = 38 for c. -2 Solve -q - 2 = x, -4*x - 5*q = -6*q + 23 for x. -5 Solve -262*w + 261*w - 4*o = 17, 4*w + 2*o = 2 for w. 3 Solve 200*b = 200*b + 4*o - 20, -5*b + 7*o - 40 = 0 for b. -1 Solve 3*t = 3*n - 15, -6*t - 202 + 182 = 4*n for n. 1 Solve 5*i + 18 = -q - 0*i, 4*q = 4*i for q. -3 Solve 0 = -4*w + 2*s, -w - 3*s + 868 = 861 for w. 1 Solve 26*u = 159*q - 164*q - 151, -2*q = 4*u + 22 for u. -6 Solve -14 = 4*i + 2*k, k = 133*i - 132*i - 1 for i. -2 Solve 28*z = -5*w + 33*z - 10, 0 = -5*w + 2*z - 13 for w. -3 Solve -3*y - 8 = -2*n - 2*y, 36*n - 15*n - 69 = 3*y for n. 3 Solve 51*t - 39 = 3*v + 47*t, -v + 19 = 4*t for v. -5 Solve -8*q = 5*h + 41 - 87, 0 = -q + 4*h - 22 for q. 2 Solve -4*m + 5*j = -25, 5*m = 15*m + 5*j + 95 for m. -5 Solve 0 = 5*m - 5*h - 15, 2*m - 4*h - 21 + 13 = 0 for m. 2 Solve 0 = -5*i + 3*u + 9, 97*i + u + 3 = 100*i for i. 0 Solve 5*o - 6 = 2*a + 5, -5*o + 35 = -5*a for o. -1 Solve 9*h = 5*u - 83, 148*h - 2*u + 20 = 151*h for h. -2 Solve 0 = -h + 4, -15*p - 2*h = 14*p - 31*p - 20 for p. -6 Solve 1062*i + 28 = 1058*i - 4*z, i - 29 = 2*z for i. 5 Solve 4*u = -7*p, 29*p - 24*p + 2*u + 6 = 0 for p. -4 Solve 1443 - 1474 = -2*x - 11*k, -3*k = 2*x - 7 for x. -1 Solve 0 = -22*n - 22, -38*x = -34*x + n + 49 for x. -12 Solve 4*y = -5*t - 11, -414*t + y = -417*t - 8 for t. -3 Solve 4*v + 5*p - 3 = -17, -3*p = v for v. -6 Solve 3*v - 2*v = -7, -3*v - 16 = 5*f for f. 1 Solve 2*x - 289*i = -288*i + 3, 5*x + i = 25 for x. 4 Solve 5*f + 2*b + 7 = 6, -37 = 3*f - 4*b for f. -3 Solve -2*t = -2*o, -4*o + 9 = -42*t + 47*t for o. 1 Solve -3*w + 2*a - 24 = 0, 4*w - 85472 + 85499 = a for w. -6 Solve -5*l = 35*u - 38*u + 8, l - 4 = 2*u for u. -4 Solve -3*v - 61*m = -63*m - 6, 4*v - 4*m - 12 = 0 for v. 0 Solve 0 = -i + 2*o - 4, 22*i - 4*o - 28 = 2*i for i. 2 Solve -d - 3*a = 5, 299*a = -4*d + 295*a + 4 for d. 4 Solve -3*x + a - 20 = 0, 599*x = 595*x + 4*a - 56 for x. -3 Solve i - 5*l = -45, 511*i + 4*l = 508*i + 36 for i. 0 Solve 541*k - 544*k = 3*r + 18, 2*r = -4 for k. -4 Solve -4*w + 28 = -j, 2*w + 692*j - 14 = 695*j for w. 7 Solve 0 = 3*s + 3*b - 36, 0 = -s - 15*b + 8*b + 60 for s. 4 Solve -3*i = -12, 5*i + 760 = -3*n + 765 for n. -5 Solve 0 = 4*w + 8, -3*i - 28*w + 32 = -51*w + 28*w for i. 14 Solve 4 = -4*d, -3*w + 2*d - 17323 = -17331 for w. 2 Solve -q + 5*u - 49 = 0, 4*q + u - 114 = -100 for q. 1 Solve -3*s = 36*c - 37*c - 3, -16*s = 2*c - 38 for c. 3 Solve -5*w = -4*l - 29 - 19, 11*l + 38 = 2*w for w. 8 Solve 68 = -4*r - 8*a, -35*r = -31*r - a + 5 for r. -3 Solve -3*c - 2*q = -4, -16901*q - 4 = -5*c - 16905*q for c. 4 Solve -3*y = u + 4, -y + 5*u + 101 + 111 = 224 for y. -2 Solve 9 = 3*w + 2*d, -5*w + 25 = -d - 3 for w. 5 Solve 0 = -4*a - 2*f + 24, -99*a + 101*a - 18 = -4*f for a. 5 Solve 36 = 18*o - 16*o - 6*a, -5*a - 30 = 0 for o. 0 Solve -a + 4*a + 8*r = 1917 - 1988, -r = -2*a - 3 for a. -5 Solve -186*d + 189*d + 2*r = -22, -d = -4*r - 16 for d. -4 Solve -4*g = -5*r - 37, -5*g + 14*r + 62 = 13*r for g. 13 Solve -4*b = -3*o - 16, 123*o + 2*b = 120*o + 8 for o. 0 Solve -3*p - j = 34, 5*p + j - 48 + 82 = 0 for p. 0 Solve 4*t - 4*j + 24 = 0, 2466*j = 5*t + 2469*j - 18 for t. 0 Solve p + 178*s - 10 = 180*s, 0 = 4*s + 12 for p. 4 Solve 1368*j + 20 = 5*z + 1372*j, z = 4*j + 4 for z. 4 Solve -5*o + 2004*w - 2005*w = -23, -2*o - 5*w + 46 = 0 for o. 3 Solve 0 = 3*r + 107*v - 105*v + 78, 7*r + 213 = -15*v for r. -24 Solve 0 = 5*u, 21*x - 13*x + 4*u = 3*x for x. 0 Solve 0 = 2*a - 4, -74*v + 4*a = -79*v - 14*a + 21 for v. -3 Solve -174*i + 33 = 3*f - 176*i, -2*f + 3*i + 27 = 0 for f. 9 Solve 2090 = -4*z + y + 2069, -y = -3*z - 16 for z. -5 Solve -2400*w + 2404*w - 4*p + 72 = 0, 5*p = w + 70 for w. -5 Solve -2*n + 3*c = -689 + 657, -3*c = 7*n - 58 for n. 10 Solve 0 = -3*s + 3*i - 2*i + 6, -i = -4*s + 8 for s. 2 Solve -3*j - 5*m + 35 = 0, -m - 6 + 27 = 2*j for j. 10 Solve 0 = v + 5*w + 1, v + w + 2821 = 2820 for v. -1 Solve -89*y - 33 = -86*y, -3*y = 2*h + 43 for h. -5 Solve -2*q - f = 27, 14*f - 15*f = -2*q + 19 for q. -2 Solve -a = 4*m - 30, 7*a - 4*m = 5*a + 12 for a. 14 Solve 3*d + 3 = 3*c, -12*c = -14*c - 6 for d. -4 Solve 619*j - 5 = 616*j - 2*l, -5*l = -4*j - 24 for j. -1 Solve -5 = 5*v, -j + 6*j - 4*v - 58 = -69 for j. -3 Solve 20*o = 13*o - 3*y - 82, -4*o - 20 = -5*y for o. -10 Solve -16 = 4*p + 2*v, 5*v = p - 151 + 133 for p. -2 Solve -3*z - 5*f - 12 = 0, -4*z - 184 + 209 = -7*f for z. 1 Solve 3*y - 2*d + 6 = -7*y + 6*y, -3*d + 15 = 0 for y. 1 Solve -131*t - 4 = s - 133*t, 3*t + 36 = -9*s for s. -4 Solve -2*o = 3*y - 26, -o - 23 = 167*y - 170*y for y. 8 Solve -5*r - 6 = -2*w, -84*w - 5*r = -89*w + 15 for w. 3 Solve -18*b = -23*b + i + 17, 5*b - 26 = -2*i for b. 4 Solve -4*p - 23 = 3*d, 691*d = 694*d - 2*p - 7 for d. -1 Solve 3*g + 5 = -4*m - 48, 0 = 2*m + g + 25 for m. -11 Solve -g - 67 = -7*d, 5*d + 6205*g - 61 = 6209*g for d. 9 Solve -3*b + 55 = -z, -13*z + 15*z + 9*b - 190 = 0 for z. 5 Solve 156*v + 25*t - 420 = 161*v, 2*t - 30 = 4*v for v. 1 Solve -5*g + 72 = -u + 16, -2*u - 17*g = -212 for u. 4 Solve -20 = -5*y - 5*j, 2*j = 8*y - 7*y + 8 for y. 0 Solve 105*s - 20 = -5*b + 100*s, 20 = 2*b + 5*s for b. 0 Solve -4*o - 16*r + 19*r = 0, -11 = -3*o + 6*r - r for o. -3 Solve -v - 4*w = 21, 34*w - 60*w - 114 = 2*v for v. -5 Solve 5*p + 49 = -3*v, -4*v = -p - 237 + 264 for p. -5 Solve t = 2*c + 21, -c = -12*t + 99 - 54 for c. -9 Solve -961 = 4*a - 2*i - 897, 2*a - 3*i + 32 = 0 for a. -16 Solve 4*c - 4 = 0, -b - 13*c - 38 = -122*c + 33*c + 44*c for b. -6 Solve -618*v - 2 = q - 617*v, 4*q + 2*v + 6 = 0 for q. -1 Solve 0 = 15*g - 13*g + 4*v + 12, 4*g = -3*v - 9 for g. 0 Solve -5*s + 3*k - 2*k = 4, -3*s - 3*k = 6 for s. -1 Solve 0 = -5*h + 5*i, -i = 107*h - 104*h - 12 for h. 3 Solve -268*t = -273*t, 5*o + 2*t = o - 28 for o. -7 Solve -2*w = 6*d + 16, 3*w + 1329 = 3*d + 1353 for d. -4 Solve 3*k = 2*r + 18, -5*k - 20 = -9*r + 28*r - 14*r for r. -6 Solve 4*d + 2*v - 4308
{ "pile_set_name": "DM Mathematics" }
ommon denominator of k and l. 22 Suppose -4*x = 4*u - 8*x - 24, 0 = 5*u - x - 38. What is the least common multiple of u and 38? 152 Find the common denominator of 83/18 and ((-35)/70)/(3/(390/8)). 72 Suppose n - u = u + 15, -35 = -2*n + 5*u. Suppose -4*s + 6*s - 4 = 0. What is the least common multiple of s and n? 10 Let o = -7 - -23. What is the least common multiple of 11/(-11)*(-9 + -3) and o? 48 Let h = -3265/6 - -11341/21. What is the common denominator of -61/20 and h? 420 Let y = 32850 - 1478168/45. What is the common denominator of y and (-104)/(-50) + 1 + 33 + -36? 225 Calculate the lowest common multiple of 279/248 - (-2)/(-16) and 11. 11 What is the common denominator of -47/248 and 5/30*588/8? 248 Suppose 3*u - 4*u + 5*g = -27, -4*u - g = -45. Calculate the lowest common multiple of 9 and u. 36 Suppose 240*s - 676 = 227*s. What is the lowest common multiple of s and 46? 1196 Let m(j) = -3*j**2 + 67*j + 56. What is the lowest common multiple of 25 and m(23)? 50 Suppose -5*t + 84 = -61. Suppose t = 7*a - 34. Let f = 25 + -15. Calculate the lowest common multiple of a and f. 90 Let c = 2224 + -48981/22. What is the common denominator of c and -71/20? 220 Let f be 2/7*(-14309)/(-2). Let m = -2036 + f. Calculate the common denominator of m and (-64)/18*1/2. 63 Let w be (-120)/(-18) + 4/(-6). Suppose -4 = -7*i + w*i. Calculate the lowest common multiple of (-3)/(-4 - 5/(-2)) and i. 4 Suppose -4*u - 98 = -5*l, 2*l - 2*u + 19 = 57. Suppose -5*i = -0*y - 2*y - 56, 4*y - 8 = 0. What is the least common multiple of l and (14/4 - 2)*i? 198 Let q = -174 + 101. Calculate the common denominator of 2 + 0 + (-46)/9 and (q*(-4)/12)/3. 9 Let y(v) = 5*v**2 + 2. Let h be y(-2). Suppose -25 = -5*l, 3*l = p + 2*l - 5. Calculate the smallest common multiple of 44/10 - (h/5 + -4) and p. 20 What is the common denominator of -173/30 and 16/(-88) - 18822/(-44352)? 3360 Let x = -6 + 9. Suppose -x*s - 71 - 1 = 0. Let j = s - -26. What is the smallest common multiple of 3 and j? 6 Let u = 1322/11 - 211553/1760. Calculate the common denominator of -101/20 and u. 160 Let b = -4464 - -285703/64. Find the common denominator of 83/80 and b. 320 Let q = 73 + -73. Suppose -2*d + 10 = q, 15 = -5*r - 3*d + 140. Calculate the least common multiple of 10 and r. 110 Let a = 97/6 - 329/18. Find the common denominator of -52/771 and a. 2313 Let j(f) = -13*f - 64. Calculate the least common multiple of 55 and j(-8). 440 Let o(g) = g**3 + 6*g**2 - g - 14. Calculate the smallest common multiple of o(-5) and 90. 720 Let r = 176 - 174. Calculate the common denominator of -19/12 and (33/22)/(43/(-20) + r). 12 Suppose -6*t = -4*t - 16896. Let w = -185893/22 + t. Find the common denominator of w and -119/6. 66 Let x = 419073 - 3763642/9. Let s = 883 - x. What is the common denominator of s and -89/6? 18 Let s be (-121787)/(-458)*(-20)/1065. Let b = s + 44/687. Let k = -11523/710 - b. What is the common denominator of 101/4 and k? 20 Let l = 7067 - 777397/110. What is the common denominator of l and -45/88? 440 Suppose -4*z = -14*z + 10. Find the common denominator of 3 - ((-585)/(-80) + -1 + z) and -125/24. 48 Let w be -3 - (-18)/4 - 966393/486. Let j = 1985 + w. What is the common denominator of -7/15 and j? 135 Let i = 21/13 + -415/273. What is the common denominator of i and 38/9? 63 Let n be 16437/(-8) + -3 - 3. Let d = n + 2067. What is the common denominator of (-1)/(-12)*282/(-10) and d? 40 Let k(h) = 3*h**2 - 9*h + 10. What is the lowest common multiple of 88 and k(4)? 88 Let g = 10 + -7. Suppose 0*u + 51 = -4*u - g*v, v + 50 = -5*u. Let m = u - -15. Calculate the smallest common multiple of m and 9. 18 What is the common denominator of (-209)/(-60) - (-2)/(-24) and 44/35? 35 Let c = -25230638/177 - -20133746167/99120. Let r = c + -60579. Let q = 15427/1680 + r. Find the common denominator of q and 33/10. 30 Let j(y) = -2 + 6*y**2 + 0 - 9 + 3 + y**3 - 9*y. Let v be j(-7). Suppose v*m - 20 = m. What is the smallest common multiple of 14 and m? 28 Suppose 0 = -v - 3, 0*a - 5*v - 3 = 3*a. Let z = 23 - 7. Suppose 3*h - z = -h. Calculate the smallest common multiple of a and h. 4 What is the common denominator of 125/6 and 2 - (9/21 - (-4373)/2912)? 1248 Find the common denominator of -18/85 and -4*591/(-756) + (-20)/35. 765 Let v = 10 - 4. Suppose -3*s + 1 = -2*s. Calculate the lowest common multiple of v and s. 6 Let z = -483064 + 251193377/520. Find the common denominator of -71/24 and z. 1560 Let k = 414 - 715. Let u = k - -663. Find the common denominator of -62/5 and (-3)/4 + u/40. 10 Suppose -2*x + 10*x - 24 = 0. Suppose -j = h - 9, 0*j = -2*j - x*h + 23. Calculate the lowest common multiple of 16 and j. 16 Let o be (3722/(-6))/((-1)/(-3)). Let j = o - -29795/16. Find the common denominator of 143/6 and j. 48 Let v = -3431/18090 - -3/670. What is the common denominator of -2 + 133/(-147) + -1 and v? 189 Let o = -129 - -129. Let a(x) = x**2 - x + 33. What is the least common multiple of a(o) and 30? 330 Suppose 2852 = 4*d + 110*b - 115*b, -16 = 4*b. Calculate the least common multiple of 1 and d. 708 Find the common denominator of 99/56 and (-3)/((-108)/(-201)) - 0. 168 Let j = 142 + -88. Let s = j + -50. Calculate the smallest common multiple of 20 and s. 20 Let d = -3617 + 151891/42. Find the common denominator of d and ((-4)/(-14))/((-5632)/(-468) - 12). 42 Let s = 2 - -6. Let b(m) = 4 + 12*m + 0 - 11*m - 6. Calculate the least common multiple of s and b(12). 40 Suppose -2*f = -23 - 17. Calculate the lowest common multiple of 35 and f. 140 Let w = 76/7 + -339/28. Calculate the common denominator of 36/73 and w. 292 Let y = 36574/2331 + -550/37. What is the common denominator of y and 50/49? 441 Let h be 3/(((-45)/12)/5). Let l be ((-2)/h)/(2/64). What is the lowest common multiple of (3 + 10/(-4))*l and 20? 40 Let m = 3 + 11. Suppose 2*r + 877 = 3*h + 7463, 8787 = -4*h - 3*r. Find the common denominator of 2/3 + h/(-594) and m. 11 Let q = -609 + 1847/3. Let u(t) = -196*t + 35. Let l be u(20). Calculate the common denominator of l/392 - -2*(-2)/(-14) and q. 24 Suppose -14*r = -6*r - 160. What is the smallest common multiple of r and 30? 60 Suppose f = 3*o - 1, -5*f + 21 = -0*f - 2*o. Suppose 2*s + 88 = 5*q, 3*q + 18 = f*s + 67. Calculate the least common multiple of 22 and q. 198 Suppose 1518 = -38*d + 49*d. Calculate the smallest common multiple of d and 184. 552 Suppose 1274 = 19*h + 172. What is the smallest common multiple of 2 and h? 58 Let c = -249/2 - -99. What is the common denominator of c and 109/6? 6 Let k(y) = -y**3 + 5*y**2 - 5*y - 2. Let h be k(3). Calculate the smallest common multiple of 2 and -4 - ((h - 3) + -4). 2 Let g be ((-6513)/30)/(15/6 - 3). Let v = g + -432. Let d = -3/911 + 56497/4555. What is the common denominator of d and v? 5 What is the least common multiple of (-15 - -17)*37/2 - 2 and 28? 140 Find the common denominator of 5/8 and (-7 + 1580/224)*2*-3. 56 Suppose 0 = 28*k - 27*k + 3*s - 9, 0 = -2*s. Suppose 0 = 5*h + p - 36, -h + 4*h = -2*p + 16. What is the least common multiple of h and k? 72 Let q = 1356 - 1265. Calculate the least common multiple of 14 and q. 182 Let c = -1231 + 376711/306. Find the common denominator of c and 91/198. 3366 Suppose 0*z + 2*z - 4724 = 0. Let o = -28367/12 + z. What is the common denominator of o and 57/10? 60 Let p(b) = b - 3. Let y be p(-4). Let m(n) = -14*n**2 + 7*n + 9. Let k be m(y). What is the common denominator of (-1375)/k + (-4)/6 and 85/4? 44 Suppose -2*h - 3*h = -60. Let f(s) = -s**2 - 8*s - 13. Let a be f(-6). Find the common denominator of ((-50)/(-45))/(a/h) and -62/5. 15 Find the common denominator of 1 - 4/8 - 53/8 and 4 + 52/(-14) + 1419/2016. 96 Let o(m) = m**2 - 5*m - 4. Let f = 158 + -156. Calculate the least common multiple of o(6) and f. 2 Suppose -37 = -18*c - 1. What is the lowest common multiple of c and 8? 8 Let z(s) = s**3 + 5*s**2 + 4*s + 4. Let m be z(-4). Let v be m/(-10) - 714/(-35). Find the common denominator of 21/10 and ((-30)/(-160))/((-1)/v). 20 Suppose w + 18 = 2*m - 0*w, 5*m = 3*w + 46. Suppose 0 = -2*l + 25 + 9. Calculate the smallest common multiple of m and l. 136 Suppose 0 = 26*z - 3*z - 690. What is the smallest common multiple of z and 54? 270 Suppose 4 =
{ "pile_set_name": "DM Mathematics" }
t k(l) = -2*l**3 + 2*l**2 + l. Let d be k(-1). What is p(d)? -1 Suppose 4*h - 101 = 139. Suppose -v + 10 = 5*n, -4*v + 12 - h = -2*n. Let w(c) = -c + 1. Determine w(v). 11 Suppose 0 = 5*t - 0*t - 20. Suppose 0*o = 2*u + 5*o - 1, -u - 4*o = t. Let i(x) = -20*x**2 - x + 8*x**2 + u*x**2 - x**3. What is i(-3)? -6 Let a = -14 + 4. Let p = a + 5. Let n(z) be the third derivative of -z**6/120 - z**5/12 - z**4/12 - z**3/6 + 7620*z**2. Determine n(p). 9 Suppose 12 = 3*f - 3*m, -5*m - 4 - 16 = -f. Suppose 0 = j - f - 3. Let o(b) be the first derivative of -b**4/4 + b**3/3 + 2*b**2 - b - 8. What is o(j)? -7 Let r(n) be the third derivative of n**5/60 + n**4/24 - n**3/6 - 71*n**2. Give r(-3). 5 Let w be (-6)/39 - 2/(-13). Suppose w = 29*g - 32*g + 18. Let q(o) = -o**3 + 6*o**2 + o - 1. What is q(g)? 5 Let a(g) = g - 2. Let o be -2 - (1 + 1 + -1). Let t(p) = p**3 + 2*p**2 - p + 2. Let s be t(o). Let n = 12 + s. Give a(n). 6 Let v be 16/4*10/4. Let c = 12 - v. Let a(g) = 2*g - 14 - c*g**2 - 4*g + 14. What is a(2)? -12 Let j(q) = -12*q**2 - 4*q - 8. Let r(p) = 2*p**2 - p. Let c(k) = -j(k) - 7*r(k). What is c(9)? -55 Let a(l) = l + 2. Let x(s) = 2*s + 2. Let b(v) = 3*a(v) - 2*x(v). Let t(y) = 2*y**3 - y - 1. Let o be t(1). Calculate b(o). 2 Let a(p) be the first derivative of p**4/12 + 4*p**3/3 + 3*p**2/2 - 20*p - 9. Let t(r) be the first derivative of a(r). Give t(-7). -4 Let y(k) = -k - 3. Let f be 82/(-26) - -3 - 486/(-117). Calculate y(f). -7 Suppose 4*h + 3 = -4*k - 17, 5*h = -3*k - 23. Let f(g) = g**3 + 3*g**2 - 2*g + 4. Calculate f(h). -4 Let g(r) = -22*r. Suppose 0 = 40*m - 70*m - 30. Calculate g(m). 22 Let v(d) be the second derivative of -d**4/6 + d**3/6 - 35*d. Let b be v(0). Let o(r) = r**2 + 11. Determine o(b). 11 Let a(q) = q**2 + 4*q + 3. Let c be a(-4). Let x(d) = -3*d. Let z = -7 - 0. Let r(j) = -5*j - 1. Let n(b) = z*x(b) + 4*r(b). Determine n(c). -1 Let u(y) = y**3 - 10*y**2 + 15*y + 7. Let o be u(8). Let l(x) = -x**2 - x. Let n(w) = -9*w**3 - 3*w**2 - 3*w - 1. Let r(z) = o*n(z) + 3*l(z). Calculate r(-1). -8 Let o(q) = -q**3 + q**2 + 2*q + 2. Suppose -261 = -s - 258. Calculate o(s). -10 Let g(a) = 2*a**2 + 44*a + 6. Let c be g(-22). Let p(i) = -i**3 + 7*i**2 - 6*i + 1. Give p(c). 1 Let i(q) = 2*q**2 - 2. Let l(b) = -3*b**2 + 7*b - 8. Let p(c) = i(c) + l(c). Give p(6). -4 Let d(f) = 3*f**2 + 3*f - 13. Let t be d(2). Let z(s) = -2*s + 9. Determine z(t). -1 Suppose -10*o - 66 = -7*o. Let l be 6/66*-2 - (-106)/o. Let w(b) = b**3 + 4*b**2 - 6*b + 1. Determine w(l). 6 Suppose 45 = 5*m - 0*m. Let p(h) = 6*h - 3*h**2 - m + 2 - 12*h + 4*h**2. Calculate p(5). -12 Let n(a) = 2*a**2 - 2*a - 4. Let g(o) = -o**2 + o + 2. Let p = 12 - 5. Let k(j) = p*g(j) + 4*n(j). Determine k(3). 4 Let j(k) be the third derivative of -k**5/30 + k**4/24 + k**3/2 + 3*k**2 + 2. What is j(3)? -12 Let h(i) = i**2 + 6*i + 8. Let o be h(-5). Let j(y) = 2 + 1 + 2*y**2 + o*y + y**3 + 0*y**2 + 3*y**2. Calculate j(-4). 7 Let r(c) = -c**3 + 7*c**2 - 5*c - 3. Let l be ((-10)/40)/((-3)/516). Let u = l - 37. Give r(u). 3 Suppose 0 = 3*w + 12, 3*m + 24 + 15 = -3*w. Let q(g) = g**3 + 9*g**2 + g + 8. Determine q(m). -1 Let y(k) = -k + 15. Let p(w) = -6*w + 88. Let u(m) = -3*m + 44. Let o(t) = 4*p(t) - 7*u(t). Let x(l) = -4*o(l) + 11*y(l). Calculate x(8). -3 Let t = 109 - 111. Let i(f) = 6*f + 7. Determine i(t). -5 Let i(w) = w - 1. Let k = 268 - 270. Let z(h) be the third derivative of h**4/8 + h**3/6 - h**2. Let d(g) = k*i(g) + z(g). What is d(-5)? -2 Let d be (-7)/(-5) + ((-9)/(-15) - 1). Let s(o) = 5*o - 2. Let y be s(2). Let a(i) = -6 + 6 + y*i. Determine a(d). 8 Let m(y) = -2*y - 1. Suppose 0 = -4*k - x + 13, k - 6*k + 3*x = -12. Let q be (-70)/105 - 19/k. Calculate m(q). 13 Let c(w) = -12*w - 131. Let n be c(-11). Let d(v) be the first derivative of 2*v**3 - v**2/2 - 2. Determine d(n). 5 Let z(c) = -c**3 - 6*c**2 - 4*c + 17. Let s(d) = d**2 + d - 2. Let u(v) = 5*s(v) + z(v). Let h be 0*(1 + 1 + -1). Suppose 3*f - 4*f = h. Give u(f). 7 Let q(n) be the second derivative of n**5/60 - n**4/4 - 5*n**3/6 - 2*n**2 + 8*n. Let k(f) be the first derivative of q(f). What is k(5)? -10 Let j(f) = 5*f**3 - f**3 + 2*f - 3*f**2 - 3*f**3. Suppose -80 = -54*l + 14*l. Determine j(l). 0 Let q = 34 + -33. Let t(g) = -10*g + 2. Give t(q). -8 Let x(u) be the second derivative of u**5/20 + u**4/3 + 5*u**3/6 + 3*u**2/2 - 44*u. Give x(-3). -3 Let u(c) be the first derivative of 3*c**2/2 - 6*c + 28. What is u(6)? 12 Let j(k) = -90*k + 6 + 32*k + 27*k + k**3 - 4*k**2 + 25*k. Give j(5). 1 Let r(k) be the third derivative of -7/3*k**3 - 33*k**2 - 1/24*k**4 + 0 + 0*k. Give r(-6). -8 Let m(h) = -3*h + 7*h**3 - 1 - 5*h - 11. Let w(u) = -u**3 + u**2 + 1. Let a(q) = m(q) + 6*w(q). Suppose -4*o + 151 - 179 = 0. Calculate a(o). 1 Let j be 57/2 + -1 + (-3)/2. Let q = j + -22. Let r(a) = -2*a + 3. Determine r(q). -5 Let b(d) be the third derivative of d**4/12 - 23*d**3/6 - 575*d**2. What is b(9)? -5 Let y(j) = 54 - 4 - j - 57 + j**2. Suppose -5 = -4*q + 3*q. Calculate y(q). 13 Suppose -5*d - 3*j = 14, 5*d + 28 = -5*j + 8. Let w be (-1)/(-1*d/(-3)). Let o(l) = 2*l + w - 4 - 3. Calculate o(4). 4 Let z(t) = -9*t**3 + 5*t**2 - 11*t - 13. Let g(k) = -2*k**3 - k - 1. Let i(h) = -5*g(h) + z(h). What is i(-5)? 22 Suppose 3*h - 4*x - 22 = 0, -4*x = 5*h - 2*h - 14. Let c(n) = -5*n**2 + 38*n + 2. Let g(w) = 9*w**2 - 68*w - 3. Let o(r) = 7*c(r) + 4*g(r). Give o(h). 2 Let r be ((-4)/6)/((-2)/(-3)). Let z be (-4 - -3)/(r/(-3)). Let f(h) = -11*h**2 - h - 22. Let g(x) = -4*x**2 - 8. Let q(a) = -3*f(a) + 8*g(a). Give q(z). 2 Let t(f) be the first derivative of -4 - 2*f - 1/3*f**3 - 7/2*f**2. Determine t(-6). 4 Let p = -84 + 111. Suppose 9*y + 0 = p. Let a(m) be the first derivative of -2*m**2 - m + 1. Give a(y). -13 Let a(y) = 3*y**2 - 8*y - 5. Let c = -6 - -9. Determine a(c). -2 Let i(n) = 30*n + 1. Let j be (-6)/(-18)*(-9 - -6). What is i(j)? -29 Let q(h) be the third derivative of -h**4/24 + h**3/2 + h**2. Let n = 145 + -148. Let i be 0/n + (-4 - -7). Give q(i). 0 Let z(g) = -5*g**2 - 395*g**3 - 395*g**3 - 9*g + 791*g**3 + 7. Give z(6). -11 Suppose -9 = -6*g + 9*g. Let a be (-9 + 6)/(g/4). Let c(f) = f**3 - 3*f**2 - 5*f + 5. Let n be c(a). Let d(q) = 4*q - 1. What is d(n)? 3 Let x(g) = -75*g - 6 - 74*g + 1 + 150*g. Let q(k) = -k**3 - 2*k**2 - 2*k. Let h be q(-2). What is x(h)? -1 Let n be 1 - (-2 + (-9 - 1)). Suppose 6*u - n = -1. Let g(j) = -7*j**3 - 5*j + 6. Let s(t) = -t**3 - t + 1. Let o(c) = g(c) - 6*s(c). Calculate o(u). -6 Suppose 4*n + 34 = 5*y, -4*y + 4*n + 22 + 6 = 0. Let d(a) = -7*a + 3. What is d(y)? -39 Let k = -43 + 49. Let w be ((-16)/(-12))/((-4)/k). Let g(u) = -3*u - 3. What is g(w)? 3 Let u(r) = -r**3 + 3*r**2 - 2*r. Let f be u(3). Let y(i) = 5*i**2 + i + 5. Let g(a) = 0 + 3 + 4*a + 12 + 14*a**2. Let x(p) = -4*g(p) + 11*y(p). Calculate x(f). -11 Let g(v) = -88*v - 8. Let t(y) = 7*y + 1. Let n(j) = 2*g(j) + 18*t(j). Give n(-1). 52 Suppose -5*d = 20, 3*s + 4 = -3*d + 1. Let a(w) = 3*w + 4. Calculate a(s). 13 Let b(w) = -w**3 + w**2 - w + 13. Let o = -243 + 243. What is b(o)? 13 Suppose 5*g = 15, -2*g + 1 = -3*n + 7. Let h(i) = 2*i - 12. What is h(n)? -4 Let p(u) = 3*u**2 - 47*u + 38. Let q(w) = -w**2 + 17*w - 13. Let h(y) = -6*p(y) - 17*q(y). Let c(g) = g. Let d be c(-7). Calculate h(d). -7 Let d(m) = -m**3 - 2*m + 1. Let g be d(-2). Suppose g = 7*b - 1. Let l(w) = 4*w**3 - 3*w**3 - 8*w - 4*w**2 - 3*w**2 - 3 + 2*w**b. Calculate l(6). -15 Let q(o) = 4*o**3 - 8*o**2 + 7*o + 4. Let m(w) = -5*w**3 + 9*w**2 - 8*w - 4. Let b(i) = 5*m(i) + 6*q(i). Give b(-3). -2 Let r(k) = -3*k. Suppose -8 = 5*y - 18. Give r(y). -6 Let o(j) = 46*j - 39*j - 13*j - 3 - 1. Calculate o(-4). 20 Let h(b) be the third derivative of -b**6/360 + b**5/120 + b**4/24 + 11*b**3/3 - 27*b**2. Let d(q) be the first derivative of h(q). Give d(-2). -5 Suppose o + 2*z - 8 = z, -4*z = -12. Suppose -4*p + 5*p = 3*s + 11, -5*s - 23 = -4*p. Let d(t) = 4*t**2 - t**3 + 2*t - p*t + 5*t - 2 + 0. What is d(o)? -2 Let y = -205 - -208. Let w(f) be the third derivative of -1/12*f**5 + 0 + 1/6*f**y - 3*f**2 + 0*f + 1/12*f**4. Calculate w(-1). -6 Let n(j) = -j - 1. Let r be ((-14)/(-6) + -2)/(15/90). Let a = -7 - -11. Suppose -s + 7 = -r*o - o, -14 = s + a*o. What is n(
{ "pile_set_name": "DM Mathematics" }
652*z + 475*z) + (-2 - 1 + 2)*(3 - 3 + z**2). 7483*z**2 Expand (1 - 2*y - 1)*(-2 - 4 + 4) - 20*y + 18*y - 9*y + 294 + y - 57 + 146. -6*y + 383 Expand (-2 + 5 + 6)*(-2*o + 0*o - 2*o)*(-11 - 10 + 6)*(7*o**3 - 27 - 26 + 50). 3780*o**4 - 1620*o Expand (0*y**2 + 0*y**2 - y**2)*(-y**3 + 3*y**2 - 3*y**2) + 130*y**5 - 46126*y**2 + 46126*y**2 + 7*y**2 + 6*y**5 - 7*y**2. 137*y**5 Expand 6*i - i + 0*i + (-4 + 1 + 0)*(4*i + 9*i - 6*i) + 2 - 2 - 5*i. -21*i Expand (-3*g - 3 + 3 + (16 - 1 - 5)*(2*g + 0*g - 3*g))*(6*g + 14*g + 16*g)*(-3*g**2 - 2 + 2). 1404*g**4 Expand 5*x**2 + 0*x**2 - 4*x**2 + (-1 + 1 - x)*(2 - 2 - x) + 3 + 0*x**2 + 5 - 20 - 29*x**2. -27*x**2 - 12 Expand (-3*w**2 - w**3 + 3*w**2)*((1 + 2 - 1)*(2*w - 2 + 2) - 903 - 20*w + 446 + 486 + 4*w - w - w). 14*w**4 - 29*w**3 Expand -50*u - 14*u + 371*u + 1 + u - 3*u - 2*u + (1 + 2 - 5)*(-4*u + 0 + 0). 311*u + 1 Expand (2*c + 38307 - 11*c - 38057)*(-1 + 3*c + 0 - 2*c). -9*c**2 + 259*c - 250 Expand -6 - 1 - l**2 - 1 - 168*l**2 + 51*l**2 - 24*l**2 + (0*l - l - l)*(l - 2*l + 0*l) - 3 - l**2 + 3. -141*l**2 - 8 Expand (4*z - z - z)*(0*z - 2*z + 4*z) - 4*z**2 - 4*z**2 + 6*z**2 + (2 + 2*z - 2)*(4*z - z + 5*z). 18*z**2 Expand -170*d + 31*d - 145*d - 2*d + d + 0*d + 5*d - d + 0*d + 2 - d - 2 + (d + 4*d - 3*d)*(-3 + 5 + 0) + d - 4*d + 4*d + 2*d + d - 2*d. -276*d Expand 28*l**4 - 28*l**4 - 3*l**5 + (-548 + 548 + 259*l**4)*(0*l - 2*l + 0*l). -521*l**5 Expand 49 - 22*z - 49 + (-43 + 1 + 5)*(-3*z + 2*z + 4*z). -133*z Expand -8*s**2 + 0*s**2 - 6*s**2 + (-6*s + 4*s - s)*(s + 6 + 6 - 8) + (-2 - 1 - 1)*(-s**2 + 5*s**2 - 3*s**2). -21*s**2 - 12*s Expand -2*u**2 + 1 - 1 + (-227*u + 876*u + 182*u + (-1 - 2 + 2)*(0 + u + 0))*(3*u - 5*u + 0*u). -1662*u**2 Expand (385*h + 414*h + 78*h)*(-2*h**4 - 3*h**4 + 11*h**4). 5262*h**5 Expand (3*a**2 - 4*a**2 - 4*a**2)*((-18 + 18 + 11*a)*(a**2 + a**2 - a**2) + (-1 + 1 - 2)*(a**2 - a**2 + 16*a**3)). 105*a**5 Expand (-2*w**3 + 5*w**2 - 5*w**2)*(-113 + 113 + 32*w) + (5 + 1 - 3)*(2*w**4 + 5*w - 5*w) + w**4 + w**4 - 5*w**4. -61*w**4 Expand -3 - 2*q**3 + 3 + (-2*q**3 + 5*q**3 - 2*q**3)*(5 - 4 + 0) + 2*q**3 - 3*q + 224 - 226 - 107*q**2 + 108*q**2. q**3 + q**2 - 3*q - 2 Expand -3*f**2 + 14 - 14 + (1 + f - 1)*(-3*f + 4*f + 3*f) + 3*f**2 - 3*f**2 + 2*f**2 + (f - 3*f + 3*f)*(3*f - 2*f - 9*f). -5*f**2 Expand 6*g**3 + 2799*g**5 - 2679*g**5 + g**3 + (0 + 2*g**3 + 0)*(2*g - 2*g + g**2). 122*g**5 + 7*g**3 Expand (-o - 3*o - 2*o)*(1409*o - 7 - 1396*o + 5*o**2 - 6*o**2). 6*o**3 - 78*o**2 + 42*o Expand -m**5 + 2 - 2 + (2*m - 2*m + m**4)*(-2*m + 0*m + 3*m) + m**5 - m**5 + m**5 + 25654 + 14602*m**5 - 25654. 14603*m**5 Expand -469*o + 469*o - 282*o**2 - 2*o**2 + 3*o**2 - 2*o**2 + (-2*o + 5*o - o)*(-o - 3 + 3) + (2*o - 4*o + 3*o)*(-13 + 13 - 6*o). -291*o**2 Expand (14 - 11 - 2 - n)*(1 + 1 + 0) + (3*n - 2*n + n)*(-9 + 6 + 8). 8*n + 2 Expand (9 - 9*b**4 - 9)*(0*b - 2*b + 4*b) + 182 - 4*b**5 - 83 + 18*b - 95. -22*b**5 + 18*b + 4 Expand (3 - 5 + 1)*(40973 + 40973 - 122927 + 40978 + 543*y). -543*y + 3 Expand (0*k + 0*k + k)*(105883*k**2 - 3*k + 2137 + 2145 - 4282 + 3*k). 105883*k**3 Expand 1 - 1 + 2*q + (-3*q + 3*q - q)*(1 - 5 + 2) + 977*q - 101603 + 101603 + (-1 + 3 - 1)*(3*q - 3*q + q). 982*q Expand (181*k + 1 - 371*k + 176*k)*(27*k**3 + 6*k - 6*k) - k**4 + 2*k - 2*k. -379*k**4 + 27*k**3 Expand (a**2 + 3*a**2 - 2*a**2)*(6*a**3 + 4*a**3 - 4*a**3) + 2*a - 3*a**2 - 57 + 118 - 63 + a**5. 13*a**5 - 3*a**2 + 2*a - 2 Expand (z**4 - 2*z**5 - z**4)*(-4 + 1 + 1 + (4 + 0 + 1)*(-75 + 114 + 58)). -966*z**5 Expand z**4 + 2 + 2*z**3 - 5*z**4 + 2*z**4 - 3*z**4 + z**4 + 3*z**4 + (8*z**3 + z**3 - 2*z**3)*(-1161 + 96*z + 1161). 671*z**4 + 2*z**3 + 2 Expand (844*z - 1248*z + 2170*z)*(-2 + 3 - 3)*(1 + 1 - 1) + (-2*z + 4*z - 3*z)*(0 - 1 + 3). -3534*z Expand ((-2*a + a + 2*a)*(2*a**2 - 3*a + 3*a) + 4*a**3 - a**3 + a**3)*(-166825*a**2 - 46 + 166814*a**2 + 2). -66*a**5 - 264*a**3 Expand -a**2 - 4 + 4 + (-4*a + 5*a - 3*a)*(-a + 2*a - 3*a) + 0*a**2 + a**2 + a**2 + (1137*a + 1270 - 568*a - 567*a)*(0 - 8*a + 0). -11*a**2 - 10160*a Expand (-a**2 - 2*a**2 + 5*a**2)*(-276*a**3 - 387*a**3 + 77*a**3). -1172*a**5 Expand (-2*h**2 + 2*h**2 - 2*h**2)*(-4 + 2 + 0) + 15*h**2 + 17*h**2 - 12*h**2 + (3*h + 2*h - 3*h)*(h + 0 + 0). 26*h**2 Expand (39 - 61 - 65)*(7 - 7*t**4 - 7). 609*t**4 Expand (-6*o**4 - 2*o**3 + 2*o**3)*((-4 - 5 + 6)*(2 - 6 + 2) - 3 + 5 + 4)*(-10 - 11 - 7). 2016*o**4 Expand -12729*t + 12729*t + 6174*t**5 - 299*t**5 + 0*t**5 + 5*t**5 - 3*t**5 + (4*t**2 - t**2 - t**2)*(-3*t**3 + t**3 + 4*t**3). 5881*t**5 Expand (1 - 4 + 1)*(-2 - 3 + 2)*(280*q + 38*q - 69*q). 1494*q Expand (-20 + 3 - 12)*(-33*p**2 + 24*p**2 - 34*p**2). 1247*p**2 Expand (1956*u + 7279*u - 2 - 5231*u)*(-2 + 2 + 2). 8008*u - 4 Expand (3*t - 5*t + t)*(-6 + 3 + 1) - 7*t + 2*t + 254 - 20*t - 417. -23*t - 163 Expand (0*t - 12*t + 0*t + (4*t + 2*t - 5*t)*(-5 + 5 + 5))*(2*t**2 - 5*t**3 - 2*t**2)*(5 - 6 - 1)*(t + t - t). -70*t**5 Expand 0*k**4 - 2*k**4 + 0*k**4 + (-3 + 3 - k)*(3*k**2 - k**3 - 3*k**2) + (-5 + 11 + 23)*(-6*k**4 + 42 - 42). -175*k**4 Expand -4*u**4 + 261*u**2 - 261*u**2 + (2*u**2 + u**2 - 2*u**2)*(91 - 52*u**2 - 91) + 0*u**2 + 0*u**2 - u**4. -57*u**4 Expand (-3 + 2*z**2 + 3)*(2*z**2 - 2*z**2 + 2*z**3) - 2*z**3 + 2*z**3 + z**5 + (1873*z**2 - 1873*z**2 - 93*z**3)*(-5*z**2 + 4*z**2 - 4*z**2). 470*z**5 Expand (1 - 2 + 0)*(-q - 2*q + 0*q - q - 3*q + q - q + q + q + (2 - 5 + 1)*(7*q - 2*q - 3*q))*(-55 + 7 - 2). -450*q Expand (-758*h + 2528*h + 3211*h)*(-3*h + h + 4*h). 9962*h**2 Expand (-o - o + 4*o)*(1 - 3 + 0) + 2*o + 5*o + o - 9 + 9 + 8*o + (0 + 0 + o)*(3 - 1 - 1). 13*o Expand (-6 - 1 + 5)*(-1 - 1 + 3)*(3 - 309*b - 18*b - 59*b). 772*b - 6 Expand (2 - 1 + 0)*(1 - 2 + 2)*(245*r**2 - r**4 + 2*r**2 + 31*r**2). -r**4 + 278*r**2 Expand (-4 + 3 + 0)*(-1925*b + 358*b - 2241*b). 3808*b Expand (-8 - 4 + 1)*(y + 3*y - 2*y) + (2*y + 2*y - 5*y)*(8 + 0 + 0) + (-3*y + 0*y + 0*y)*(2 + 1 - 5) + 2*y + 5*y - 4*y. -21*y Expand (-2 - 1 + 5)*(-3*q**4 + 0*q**4 + 5*q**4) + (42*q + 7*q + 7*q)*(-2*q**2 + 0*q**2 + q**2)*(11*q + 2*q + q) + (2 - 2 - q**2)*(0*q - q**2 + 0*q). -779*q**4 Expand (564*l - 2 + 5 - 586*l)*(2 + 0 + 4)*(2*l - 5*l + 2*l). 132*l**2 - 18*l Expand -3*t**4 + 34*t**4 + 20*t**4 + (-1 + 0 + 0)*(t**4 + 1 - 1) + 0*t**4 - 4*t**4 + 3*t**4 + 8*t**2 - 3*t**4 + 6*t**2 - 6*t**2 + 1. 46*t**4 + 8*t**2 + 1 Expand (-86*g - 118 + 118 + (-4 + 3 + 0)*(-3*g + 3*g + 3*g) + 10*g - 12*g + 8*g)*(-3*g + 2*g + 0*g). 83*g**2 Expand (-3*c**3 + 5*c**3 - c**3)*(-5*c + 2*c + 2*c)*(-15 - 7 + 0)*(3 - 9 + 8). 44*c**4 Expand (-2*o + 2*o - o + (-1 + 0 + 2)*(o - 6*o - 6*o))*(-8*o**3 + 43*o**2 - 43*o**2 + 4*o). 96*o**4 - 48*o**2 Expand (75*g - 14*g - 35*g)*(3*g**2 - g**2 + 2*g**2) + 42*g**2 - 42*g**2 + 13*g**3. 117*g**3 Expand (-k**2 + 0*k + 0*k)*((1 + 3 - 3)*(-k + 3*k - k) - 4*k + 0*k + 2*k - 2*k - 2*k - 5*k - 2186 - 108*k + 2186). 118*k**3 Expand (157 + 1030 - 119)*(23*q**2 + 119*q - 119*q). 24564*q**2 Expand 1432 + 13*k - 2864 - k**2 + 1428 + (2*k - 3*k + 3*k)*(1 - 2*k - 1). -5*k**2 + 13*k - 4 Expand (-3*o**5 + o**3 - o**3)*(-22082 - 3779 + 3242 - 4328 - 16166). 129339*o**5 Expand (-2*s - 2*s + 2*s)*(47*s - 94*s + 44*s) + (1 - 4 - 1)*(3*s**2 - 2*s**2 - 2*s**2). 10*s**2 Expand (9 - 3*s - 9)*(-2 - 3 + 4)*(-4 - 1 + 2)*(-264 - 37 + 62). 2151*s Expand (-29 + 12 + 13)*(-4 + 1 - 1)*(-18*a**3 - 5*a**3 - 38*a**3). -976*a**3 Expand ((-164 + 21 - 300)*(3*c - 3*c - c) + (2*c + c - 4*c)*(3 - 4 + 2))*(-c**3 - c**3 + 0*c**3)*(-16*c + 12 - 12). 14144*c**5 Expand (2*z - 2*z - 2*z)*((2 - 1 - 2)*(5 - 1 - 2) + 2 + 2 - 3) - 2*z + 5*z - z. 4*z Expand (-2*a - 1 + 1)*(-2151 + a**2 + a**2 + 2080). -4*a**3 + 142*a Expand (-561*g - 600*g - 43*g)*(7*g + 8 - 8). -8428*g**2 Expand (t**5 + 0*t**5 + t**5)*(16 + 26 + 51 + (-2 + 6 - 3)*(1 - 6 + 3) + 3 - 4 + 0 - 1 + 1 - 2) - 2 + 2 - t**5. 175*t**5 Expand (0 + 0 + r**4)*(0 - 4 + 3) + (4*r + 4*r - 2*r)*(-r**3 + r**3 - r**3) + 5*r**4 + 16208*r + 0*r**3 - 16205*r - r**3. -2*r**4 - r**3 + 3*r Expand 0*d**3 - d**3 + 2*d**3 + (d**2 - 3*d**2 + 0*d**2)*(0*d + d - 3*d) - 3*d**3 - d**3 + 6*d**3 + (7*d**3 + 23*d - 23*d)*(-1 + 7 - 2). 35*d**3 Expand (-p + 4*p - 5*p)*((2 - 5 + 4)*(2 - 3 + 2) + 2 - 4 + 1 + 5 - 1 - 3)*(342 + 291 - 172). -922*p Expand 13*y + 8*y**3 - 13*y + (-4*y - y + 3*y)*(-5*y**2 + y**2 - y**2
{ "pile_set_name": "DM Mathematics" }
= 906*v**2 + 47*v. Let m(i) = i + 2. Give b(m(u)). 906*u**2 + 3671*u + 3718 Let a(u) = 123*u**2. Let j(n) = -35*n**2 - 22. Let z(h) = 16*h**2 + 10. Let r(s) = 5*j(s) + 11*z(s). Give a(r(t)). 123*t**4 Let z(x) = -6*x. Suppose -2*y + 32 = -5*b, 5*b + 27 = 5*y - 23. Suppose 31*t - y = 28*t. Let s(g) = 11*g**2 - 27*g**t + 17*g**2. Calculate z(s(m)). -6*m**2 Let u(x) = -24. Let n(q) = -2*q - 12. Let t(y) = 4*n(y) - 2*u(y). Let f be (-42)/(-8) - 1/4. Let s(k) = 2*k - 2*k + f*k. Calculate s(t(z)). -40*z Let b(q) = -469*q. Let r(k) = 4*k**2 + 5*k + 10. Let h(a) = 5*a**2 + 6*a + 12. Let w(s) = -5*h(s) + 6*r(s). What is w(b(n))? -219961*n**2 Let t(o) = -40*o. Let f(l) = 503852*l**2. Calculate f(t(z)). 806163200*z**2 Let q(g) = -22*g. Let z(y) = -3*y**2 - 245*y + 123. What is q(z(p))? 66*p**2 + 5390*p - 2706 Let z(q) = 3*q**2 + 8*q. Let t(o) be the second derivative of -1/3*o**3 - 31 + 3*o + 0*o**2. Give z(t(k)). 12*k**2 - 16*k Suppose 128 - 45 = y. Suppose -8 = -t + y. Let o(w) = 91*w + w**2 - t*w. Let m(g) = 8*g. Calculate o(m(k)). 64*k**2 Let p(x) = x**2. Let o(l) = 262924242*l. Give p(o(y)). 69129157031274564*y**2 Let x(q) = 79*q. Let k(p) = 125900*p. Calculate x(k(d)). 9946100*d Let r(b) = -2*b. Let u(p) be the third derivative of -75*p**4/8 + 7*p**3/6 + 24*p**2 + 3*p. Determine u(r(m)). 450*m + 7 Let n(u) = -2*u**2. Let h(y) = -2*y - 18635 + 36251 - 19021. Calculate h(n(t)). 4*t**2 - 1405 Let o be (2 + -1)*2 - (-17 - -12). Let m(s) = -s - s + o*s + s. Let b(u) = -3*u - 3*u - u + 4*u. What is m(b(r))? -18*r Let o(c) = c**2. Let s(z) = 31*z - 3. Let k be (4*1*-2)/((-18)/612). Let q(l) = -1400*l + 136. Let a(d) = k*s(d) + 6*q(d). Give o(a(j)). 1024*j**2 Let k(p) be the third derivative of -587*p**4/4 + 1398*p**2. Let x(o) = o**2. What is k(x(s))? -3522*s**2 Let d(l) be the first derivative of -31*l**3/3 + 17*l + 752. Let g(s) = s. Determine g(d(w)). -31*w**2 + 17 Let y(g) = -3*g + 2. Let s be 2*2*10/(-8). Suppose -2 + 6 = -2*u. Let v(w) = 7*w - 5. Let t(l) = s*y(l) + u*v(l). Let p(q) = 10*q. Give p(t(a)). 10*a Let j(n) = 37*n**2 + n. Let a(d) = -12006*d**2 - 11981*d**2 + 23965*d**2. Calculate j(a(s)). 17908*s**4 - 22*s**2 Let c(p) be the second derivative of -p**5/30 + p**3/2 + 13*p**2/2 + 86*p + 1. Let u(q) be the second derivative of c(q). Let k(l) = 6*l**2. Calculate k(u(m)). 96*m**2 Let u(z) = -3*z + 0*z + 16*z. Let k(p) = -146 + 146 - p**2. What is u(k(d))? -13*d**2 Let u(p) = -199*p**2. Let x(i) = i - 7577735 + 7577735. Calculate u(x(h)). -199*h**2 Let v(q) = 7*q**2 + 112*q + 13687. Let n(h) = 4*h**2. Determine v(n(g)). 112*g**4 + 448*g**2 + 13687 Let w(s) be the third derivative of 2041*s**4/24 + 15*s**2 + 9*s. Let v(n) = 2*n. Determine w(v(k)). 4082*k Let h(r) = 85*r**2. Let o(l) be the first derivative of 177*l**2/2 + 257. Calculate h(o(v)). 2662965*v**2 Let w(q) = 481177*q. Let r(n) = 19*n**2. Give r(w(g)). 4399094801251*g**2 Let h(z) = 77*z - 3. Let s(t) = 58902 - t**2 - 58902. Give s(h(b)). -5929*b**2 + 462*b - 9 Let z(x) = -20*x. Let c(b) = -7*b - 21*b + 43*b + 40 - 11*b. What is z(c(i))? -80*i - 800 Let d(f) = -2*f**2. Let c = 1989 + -1184. Let n(i) = c*i - 805*i - 32*i**2. Give d(n(z)). -2048*z**4 Let o(j) = 11*j**2 + 4*j - 43. Let g(i) = -i**2 - i - 2. Let p(y) = -4*g(y) - o(y). Let n(c) = 3*c. Determine p(n(t)). -63*t**2 + 51 Let i be -7 + 3 + -1*(-4 + 0). Suppose 123*w - 120*w - 81 = i. Let z(b) = 17*b - w*b + 13*b. Let j(o) = 3*o**2. Determine z(j(s)). 9*s**2 Let g(a) = -5*a. Let m(o) = 13*o**2 + 3079*o - 84. Determine g(m(j)). -65*j**2 - 15395*j + 420 Let j(s) = 7*s. Let q(k) be the first derivative of -k**6/72 - 5*k**3 + k**2/2 + 54. Let b(c) be the third derivative of q(c). Determine b(j(f)). -245*f**2 Let k(y) be the first derivative of y**2 - 22809. Let l(u) = u + 2*u + 25*u**2 - 4*u. Determine l(k(r)). 100*r**2 - 2*r Let z(s) = 5*s**2 - 6*s**2 + 4*s**2 + 35786*s - 35786*s. Let b(r) = -598*r. Give z(b(f)). 1072812*f**2 Let q(p) = -73*p + 2. Let r = 415 + -366. Let c(w) = w + 124 - 31 - 44 - r. Give q(c(u)). -73*u + 2 Let u(j) = 3*j**2 - 19. Let h = 160 + -124. Let l(n) = -45*n**2 + 125*n**2 - h*n**2 - 42*n**2. Determine l(u(d)). 18*d**4 - 228*d**2 + 722 Let t(d) = -d + 82*d - 44*d + 178*d + 62*d. Let j(a) = -18*a. Calculate j(t(g)). -4986*g Let g(t) = 1092*t. Let j(f) = 69 - 686*f - 69 + 684*f. Give g(j(m)). -2184*m Let p(s) be the first derivative of s**3 + s - 1. Let k(h) be the first derivative of p(h). Let f(a) = 3 - 8 - 516125*a**2 + 5 + 516124*a**2. What is k(f(w))? -6*w**2 Let g(l) be the first derivative of 7 + 0*l**2 + 3*l + 1/6*l**3. Let t(f) be the first derivative of g(f). Let q(s) = -11*s. Calculate q(t(a)). -11*a Let t(u) be the third derivative of -12*u + 1/15*u**5 + 0*u**3 + 0 + 0*u**4 + 2*u**2. Let x(c) = -19*c. What is t(x(q))? 1444*q**2 Let p be (-30)/(-9)*3/4*2. Let f(o) = 13*o + o + p*o - 3*o. Let b(m) be the second derivative of m**3/3 - 2*m. Determine f(b(t)). 32*t Let k(y) = -19868 - 73*y**2 + 19868. Let q(d) = -4*d. Calculate q(k(a)). 292*a**2 Let w(o) = -98595*o. Let u(r) = 2*r + 11. Determine w(u(s)). -197190*s - 1084545 Let d be (-1)/(130/(-25) + 5). Let b(o) = 5 - 17*o**2 - d + 16*o**2. Let k(a) = 90*a. What is k(b(p))? -90*p**2 Let k(c) = c**2 - 17*c. Suppose -11*q - 3*q = -8694. Let i(j) = 2*j + 621 - q. Determine i(k(x)). 2*x**2 - 34*x Let u(g) = 2*g. Let a(h) = -h**2 + 9*h + 25. Let k be a(18). Let m = k + 139. Let q(i) = -i - 2*i**m + 0*i + 33 + i. Give q(u(v)). -8*v**2 + 33 Let u(b) be the first derivative of 0*b + 0*b**2 + 5/3*b**3 + 63. Let q(k) = 13*k**2. What is q(u(s))? 325*s**4 Let a(m) = 4*m**2 + 12 - 12 + 6*m**2. Suppose 3*p - 20 = 4. Let h(c) = -16*c**2 + p*c**2 + 6*c**2. Determine h(a(d)). -200*d**4 Let t(y) = 4*y**2. Let w(v) be the first derivative of 9*v**3 + 20. Let k(n) = -36*t(n) + 5*w(n). Let f(b) = 0 - 28*b + 0 + 34*b. Determine k(f(p)). -324*p**2 Let w(o) = o**2. Let q(v) be the second derivative of -181*v**4/24 + 71*v**2 - v - 96. Let n(p) be the first derivative of q(p). Calculate w(n(g)). 32761*g**2 Let h(p) = -94*p**2. Let c(r) = 3096619*r. Calculate c(h(z)). -291082186*z**2 Let a(r) = -15*r**2 + 14*r + 49. Let m be (-238)/42 - (-2)/(-6) - 1. Let d(p) = 5*p**2 - 4*p - 17. Let z(u) = m*d(u) - 2*a(u). Let f(l) = 2*l. What is f(z(c))? -10*c**2 + 42 Let c(i) = i**2. Let a(z) be the first derivative of -5*z**4/12 - 61*z + 62. Let h(n) be the first derivative of a(n). Give c(h(x)). 25*x**4 Let w(g) = -401*g**2 + 355*g**2 + 47*g**2. Let o(l) = 915*l**2. What is o(w(v))? 915*v**4 Let p(u) = -2*u. Let n be (9/(-3) - 3/1) + 1. Let d(i) = 2*i**2 + 7*i + 12. Let o be d(n). Let x(h) = 1678 - 1678 - o*h**2. Calculate x(p(w)). -108*w**2 Suppose 7*l = -1 + 71. Let m(d) = l*d + 10*d - 18*d. Let r(i) = 3*i - 6. Give r(m(b)). 6*b - 6 Let x(l) = 9*l. Let y(w) be the third derivative of w**5/60 - w**4/8 + 2060*w**2. Determine x(y(p)). 9*p**2 - 27*p Let o(c) = 2*c - 22. Let w(d) = 807979*d. Calculate o(w(p)). 1615958*p - 22 Let b(n) = -32*n + 2. Let f(q) = -13*q**2 + 22055 - 44112 + 22057. What is f(b(r))? -13312*r**2 + 1664*r - 52 Let r(k) = 782*k**2. Let f(y) = -20040*y. What is f(r(x))? -15671280*x**2 Let g(c) = -78 + 64 - 5735*c + 14. Let m(b) = b. Determine m(g(k)). -5735*k Let h(c) = 91084*c. Let m(i) = -20*i**2 + 2. Determine m(h(p)). -165925901120*p**2 + 2 Let v(o) = -2*o**2. Suppose 4*h - 11 = -15. Let l = 3 + h. Let n(c) = 406*c + 36*c**2 - 406*c - 8*c**l. Give v(n(q)). -1568*q**4 Let d(v) be the second derivative of 19*v**7/360 - 19*v**4/3 - 32*v - 3. Let a(b) be the third derivative of d(b). Let x(m) = -m. Calculate a(x(k)). 133*k**2 Let g(m) be the second derivative of m**6/360 + m**4/12 - 9*m**2/2 + 127*m. Let r(a) be the third derivative of g(a). Let z(o) = -99*o. What is r(z(f))? -198*f Let i(c) = 686*c**2. Let j(y) = 2*y + 16. Let d(v) = 2*v + 12. Let z(b) = -4*d(b) + 3*j(b). What is z(i(t))? -1372*t**2 Let d(a) = -2*a**2. Let z(s) = -178. Let m(q) = 1135*q + 404060. Let f(x) = -m(x) - 2270*z(x). Determine f(d(b)). 2270*b**2 Let n(y) = -6*y - 4. Let s(h) = -141582*h. Determine s(n(z)). 849492*z + 566328 Let s be (-5)/15 - (-3 + (-6)/(-9)). Let b(v) = 7*v**2 - v**2 - 4*v**s - 4*v**2. Let t(d) = -11*d + 9*d + 2*d - d. Calculate t(b(a)). 2*a**2 Let b(k) = 616038*k**2. Let
{ "pile_set_name": "DM Mathematics" }
0.4938. 0.1938 Work out -0.596 + 5.09. 4.494 Work out -2.928 + -3. -5.928 Calculate -42 + -73125. -73167 What is 0.02 + -15.72? -15.7 What is -2.4 take away -626815? 626812.6 90.3 + 29 119.3 Subtract 9.4 from -0.1083. -9.5083 37291 - -0.12 37291.12 Total of -6 and 92. 86 Work out 4 - 4896. -4892 What is 0.15 + -153112? -153111.85 Calculate 6.9056 + 23. 29.9056 What is 120882 less than -14? -120896 What is -150 plus -0.89592? -150.89592 What is 0.2 less than -180.165? -180.365 What is -1.8 minus 292? -293.8 What is -0.1611 - -0.3? 0.1389 Add together 988 and -0.06. 987.94 Put together 0.01 and -15. -14.99 -5773 - -4 -5769 Subtract -6.3 from 114. 120.3 Work out -0.13 + 67.1. 66.97 Put together 4075622 and 0.5. 4075622.5 Add 1640 and 139. 1779 Subtract -20.3016 from 0.5. 20.8016 103 + -7.6 95.4 What is 0.1211 + -1.68? -1.5589 Work out -0.03989 + -0.0532. -0.09309 Subtract -1 from -9.998. -8.998 Put together -10454 and -0.5. -10454.5 What is the distance between 2 and 10152? 10150 6+1.35 7.35 Calculate -34713 - -0.05. -34712.95 What is 45.43 minus -0.1? 45.53 -0.05 - -951 950.95 What is 17 less than -199? -216 -0.4454 - -79.5 79.0546 Calculate -450 + 125. -325 Calculate 426 - 0. 426 3176.8 - 0.11 3176.69 -0.4 - 805 -805.4 What is -7134 take away 1? -7135 Calculate -0.2 - 464.264. -464.464 What is 6485.7 plus 1? 6486.7 Work out 0.9 + -2.391. -1.491 Add -0.21 and -181872. -181872.21 What is -0.267 minus -977? 976.733 Calculate -0.08 - 14303. -14303.08 What is 0.11 minus 15.0105? -14.9005 Add together 163803 and -0.5. 163802.5 Subtract 27.9 from -1.33. -29.23 What is -893 take away 6.7? -899.7 Put together -4180 and 0.05. -4179.95 What is the difference between 23 and 31? 8 149+-117 32 Put together -6.05 and -0.52. -6.57 What is 841.8 - -0.2? 842 What is 12.6622 plus 0? 12.6622 14832+-0.18 14831.82 Work out -439.7291 + -0.5. -440.2291 Work out -10.977 - -14. 3.023 Add -1.6 and -118.41. -120.01 What is -4740 minus -44? -4696 What is -11988 take away -6? -11982 Add together 0.3 and -31. -30.7 What is the difference between -4 and 5814? 5818 What is 0.3 minus -262507? 262507.3 What is the distance between -0.5 and 10586? 10586.5 What is -14732.99 + -3? -14735.99 -1+-5.75 -6.75 Put together 0.03 and 2.3462. 2.3762 What is 82 plus 2.1? 84.1 What is 0.001 minus 483? -482.999 -681973 + -0.5 -681973.5 What is 0.08945 less than 5? 4.91055 What is -0.2 plus 10902? 10901.8 Add -100.5 and -0.3. -100.8 Put together -8.1 and 2.1. -6 Put together 0.37 and -0.3. 0.07 Add together -15875 and -0.034. -15875.034 Total of -7 and 173. 166 What is 1.86 take away 35? -33.14 -5214 - 0.52 -5214.52 Put together -511466 and -0.1. -511466.1 -273 + 30.6 -242.4 Calculate 78 - -12.9. 90.9 What is -0.1289 plus -0.5? -0.6289 Work out 173144.8 + -0.1. 173144.7 Work out 23365.1 + -0.1. 23365 Add together -29.1 and 0.11. -28.99 What is 2.16 minus 10740? -10737.84 30.8 + -0.10951 30.69049 Add 5189353 and -0.1. 5189352.9 What is 4 take away -0.0595? 4.0595 Work out -1 - -1.8. 0.8 What is the distance between -0.04 and 243447? 243447.04 -4+192.7 188.7 Put together 4590 and -0.06. 4589.94 What is -0.047 + 111.05? 111.003 What is 1196 take away -3029? 4225 Add together -40 and -0.2. -40.2 -0.3+-268 -268.3 Subtract 3420 from 0. -3420 Sum -0.3785158 and 0.1. -0.2785158 What is 21780.76 + -0.3? 21780.46 -16.4 - 1.379 -17.779 What is -14 less than 13.02? 27.02 Sum 162 and -11.3. 150.7 Calculate 0.4 - -0.0735. 0.4735 What is -5487 - -0.2? -5486.8 Put together 4 and -28546.7. -28542.7 What is -0.0043 less than 0.3? 0.3043 45 - 0.095 44.905 -786394+-0.4 -786394.4 -1340.9 - -31 -1309.9 What is 0.3 + 2847654? 2847654.3 22.723+-3 19.723 Work out -18 - 6597. -6615 What is 3 less than -0.9878? -3.9878 Calculate -0.2392 - -0.0771. -0.1621 -3+-2317056 -2317059 Calculate -5 + -232. -237 What is -0.2 - -69700? 69699.8 What is the difference between 5.052 and -20.21? 25.262 Subtract 37.87 from 0.064. -37.806 What is 36 minus 10.36? 25.64 Calculate -0.4 - -2784. 2783.6 What is 49838 plus 3? 49841 What is 7 plus 0.3655? 7.3655 541.5 + 116 657.5 What is -3.36 less than 3.583? 6.943 What is the difference between -26.3 and -5.6? 20.7 32267 - 56 32211 Total of -2.2 and 922. 919.8 -107618 - 3 -107621 What is 577 + 777? 1354 What is 53.31 - 6? 47.31 Work out 2 - -15.3058. 17.3058 What is -84.1 take away 5? -89.1 5 - 3713 -3708 What is the distance between -0.09 and 1.38? 1.47 What is 1.9 take away 1040? -1038.1 What is the difference between 2 and 0.1517? 1.8483 What is the distance between 63555 and -3? 63558 Add -0.0393 and 0.1. 0.0607 What is -110.3097 plus -5? -115.3097 What is 0.3 plus 745? 745.3 Add 12.8 and -271. -258.2 Calculate 3690 + 0.3. 3690.3 -0.133448 - -41 40.866552 3 + 14009 14012 Put together -731144 and 4. -731140 2655201 - 0.5 2655200.5 0.213+-2.5 -2.287 Sum 11 and 11. 22 Put together 16.386 and 0.4. 16.786 What is 0.673 take away 60? -59.327 548 + -1.24 546.76 Calculate -0.114 - 0.3. -0.414 Work out -0.3 + 45396. 45395.7 What is 99644 less than -3? -99647 Add together -62904.95 and 5. -62899.95 What is the distance between 13 and -78? 91 Sum 14 and -59960. -59946 Calculate 0.14 - -67. 67.14 What is the difference between 8.9 and -0.08? 8.98 What is the distance between 0 and 1.08084? 1.08084 What is the difference between -52 and -0.67? 51.33 What is 287 + 4.3? 291.3 -15+-28 -43 What is 19 plus -92852? -92833 Work out -1085 - 0.893. -1085.893 Sum -20.7 and 6.26. -14.44 -0.16 - 42.56 -42.72 What is the distance between 0.03 and 65.13? 65.1 Put together -8 and -157. -165 -110 - 0.289 -110.289 Work out 2964 - 14. 2950 Calculate -524 - 973. -1497 What is the difference between 0.4 and 0.74? 0.34 What is 68 take away 55? 13 What is -0.0167 minus 8? -8.0167 What is -1 take away 10678? -10679 What is -0.01 less than 75236? 75236.01 What is 2 minus 122468? -122466 What is the difference between 1753 and 12? 1741 0.4 + -32.8 -32.4 What is -0.085761 less than -12? -11.914239 Work out 0.17 - 55. -54.83 -419+-1.4 -420.4 What is 78165 - 2? 78163 What is the difference between -6939 and -0.5? 6938.5 Sum 0.5 and -192150. -192149.5 What is -96 take away 343.7? -439.7 Calculate 3114 + -3. 3111 Work out -96.43 + -0.1. -96.53 What is -2.9 plus -250871? -250873.9 Calculate 28.82 - 5. 23.82 What is -1702 minus 0.02? -1702.02 What is the distance between 343.9 and 202? 141.9 Work out 3304 - 0.4094. 3303.5906 What is -9.467 less than -154? -144.533 Sum -3698 and 0.2. -3697.8 Put together 688116 and -0.1. 688115.9 Put together 18 and 256.4. 274.4 Total of -3 and -29196. -29199 What is the distance between -15.584 and -59? 43.416 -7+-1727 -1734 What is the distance between 518675 and -0.05? 518675.05 1.1 + 336.2 337.3 What is the difference between -66581 and 0.08? 66581.08 What is 11878.411 plus 0? 11878.411 Calculate -0.037 + -129968. -129968.037 2230.88+-1 2229.88 68.2 + 3316 3384.2 Sum 0.06 and -6.98. -6.92 Add together -3 and -1986. -1989 Subtract -0.1 from -0.1784. -0.0784 What is -0.925 less than -0.4? 0.525 Calculate -1 + -6228. -6229 -2.5 - -0.05 -2.45 What is 1 minus -1.271639? 2.271639 What is 16 minus -0.01147? 16.01147 Add -76 and -769. -845 -9 + 1805 1796 What is 12.1 + 577? 589.1 Add 0.0118 and -202.1. -202.0882 What is 706.93 less than -0.03? -706.96 Total of 4228.06 and -0.3. 4227.76 Add 1504 and 3. 1507 What is -0.236 less than 1.6? 1.836 Put together 0.4 and -3344. -3343.6 Calculate -5.43 + 25. 19.57 -0.2+-2.93 -3.13 Sum 3 and -319.607. -316.607 Calculate 136967 + -4. 136963 Add 395 and -0.1. 394.9 Subtract 0.1 from 188. 187.9 Calculate 7472 + 3. 7475 What is the difference between -682.1 and 8? 690.1 Total of 346.3 and 0.4. 346.7 What is -0.4 less than 0.0137? 0.4137 Sum -18395 and -16. -18411 Calculate 20223.8 + 1. 20224.8 Calculate 0.1824 - 5. -4.8176 Add -41 and -108. -149 What is -6 take away 19.1677? -25.1677 Total of -3036 and 2.7. -3033.3 -0.02314 + -27 -27.02314 Subtract 0 from 20420. 20420 What is the distance between 16168 and 18? 16150 Subtract -0.5 from 4.716948. 5.216948 Calculate 0.3 - 289.634. -289.334 Put together 1 and 498067. 498068 Add -5 and -2406.7. -2411.7 -0.3 + -5869.95 -5870.25 What is 0.037 + -61? -60.963 Add together 0.285804 and -3. -2.714196 Subtract -252230 from -5
{ "pile_set_name": "DM Mathematics" }
440 + 4440 - 1182)*(-18*q**2 + 2*q**2 + 11*q**2) to h + n*q + y*q**2 and give y. -48490 Rearrange 13178305*o**2 - 5 - 3*o + 5*o + 4 - 13178332*o**2 - 4*o**3 to the form q*o**2 + k + l*o + n*o**3 and give l. 2 Rearrange -b**4 + 2 - 8*b**2 + b**3 - 6*b + 24*b - 8*b**2 + 15*b**2 - 3*b**2 to the form j*b + w + q*b**4 + s*b**2 + f*b**3 and give s. -4 Rearrange -2*y**2 - 23*y - 177 + 19*y + 146 + y**3 to t*y**2 + l*y**3 + w + c*y and give l. 1 Rearrange -1564*l**2 + 122*l + 781*l**2 + 2*l**3 + 779*l**2 - l**4 + 1 to k*l**2 + d*l + g + t*l**4 + m*l**3 and give k. -4 Rearrange (2*l**3 + l**3 - l**3)*(-2*l + 2 - 2) + 1641*l**4 - 24150*l**4 - 2860*l**4 - 1486*l**4 to the form g*l**4 + h + c*l**3 + j*l + x*l**2 and give h. 0 Rearrange 921 + 2*x + 42*x**2 - 4*x**3 - 916 - x**4 - 4*x - x**3 - 46*x**2 to p + d*x**3 + v*x + f*x**2 + n*x**4 and give d. -5 Rearrange -279*b + 16240*b**3 + 286*b - 168 - 16239*b**3 to m*b**2 + j*b**3 + g + f*b and give g. -168 Rearrange -23*v + 1005*v**2 + 989*v**2 + 985*v**2 - 2920*v**2 - 1 - v**3 to h*v**2 + y*v + i*v**3 + k and give h. 59 Express (3*a**2 + 26*a**2 + 18*a**2 + (-2*a + 0 + 0)*(0*a - a + 3*a))*(-186 + 186 + 161*a) in the form w + m*a**3 + h*a + q*a**2 and give m. 6923 Rearrange 1 - 678*c + 678*c + 5*c**3 + (-c**2 - 3*c**2 + 2*c**2)*(-9*c - c + 4*c) + c**3 + 4*c**3 - 38*c**3 to u + p*c**3 + k*c + z*c**2 and give p. -16 Express -480 - 1955 - 28*m + 64*m - 35*m in the form q*m + s and give s. -2435 Express 90*n + 3*n**3 - 3*n**3 - 79*n - 4*n**3 + 112*n**2 + 6*n**3 as p*n**3 + x*n + t*n**2 + z and give x. 11 Express 6387 - 1699*g**2 - 2*g - 6387 in the form c*g**2 + z + f*g and give c. -1699 Express 9*o + 5*o**3 - 18*o + 257369 - 257375 + 13*o**2 in the form y*o**2 + r*o + d + p*o**3 and give r. -9 Express (-3*d + 5*d + d)*(d**3 - 2*d**3 + 3*d**3) + 400 - 2809*d**4 - 400 in the form v*d + c*d**4 + g + p*d**3 + r*d**2 and give c. -2803 Express 31*u + 30*u + 37*u - 247 - 132*u + 39*u as d*u + f and give f. -247 Express -2730 - 4*g - 252 - 8 - 1001 as w*g + v and give w. -4 Express (-176*s + 2656*s**2 - 947*s**2 + 176*s)*(-3 - 3 + 3) in the form n*s**2 + k + p*s and give n. -5127 Express 63 - 148*u - 252*u - 32 - 29 + 75*u in the form m + p*u and give p. -325 Rearrange -6692 + 5*i - 3*i - 8541 - 8433 + 6708 to the form j + h*i and give h. 2 Express -75*j**2 - 217*j**2 - 241*j**2 + (4*j**2 + j**2 - 15*j**2)*(-1 + 0 + 2) in the form k*j**2 + r*j + f and give k. -543 Rearrange 6 + 6153991*s - 6148506*s - 6 to k + w*s and give w. 5485 Rearrange -768*q**2 - 60*q**3 + 35*q**3 + 27*q**3 + 2423*q**2 to n*q + k*q**3 + h*q**2 + z and give k. 2 Rearrange (7651*v**3 - 4901*v**3 + 9140*v**3 + 1376*v**3)*(0 + 2 - 1)*(4 - 1 - 4) to l + y*v**3 + r*v**2 + m*v and give y. -13266 Express 13*u + 2*u**3 - 5*u**2 - 34 + 35 - 7*u + 2*u**4 + 4*u - 5*u in the form o*u + t*u**4 + z*u**3 + d + s*u**2 and give o. 5 Express 8 + 118*h**2 - 25*h**2 + 31*h**2 + 54*h**2 + 9 as n + f*h + t*h**2 and give t. 178 Express (-5 - 2 + 2)*(-12 + 6 - 28)*(-2*l + 10*l + 36*l) as f*l + b and give f. 7480 Rearrange (-11*h - 16*h + 3*h)*(-3 - 229*h + 3) to g*h**2 + v*h + m and give g. 5496 Rearrange -1253*o + 4 + 250*o - 271*o - 470*o to r*o + w and give w. 4 Express (-1 - 3 + 3)*(-2*m**2 + 0*m**2 + 0*m**2)*(0 + 2 - 1)*(114*m**2 + 552*m**2 + 219*m**2) as u*m**4 + b*m**2 + f + l*m + p*m**3 and give u. 1770 Express -t + 39*t**3 + 0*t**2 + 120*t**4 - 2*t**2 + t**2 + 3 - 123*t**4 - 6 as m*t**4 + f*t**3 + q*t**2 + s + k*t and give k. -1 Express (3 - 3 - 2*x**2)*(5*x - 3*x - 3*x) + (-6*x + 1 - 1)*(-3 + 4*x**2 + 146733*x + 2 - 146798*x) in the form f + l*x + a*x**2 + w*x**3 and give l. 6 Rearrange (4*k**3 + 10*k**3 + 42*k**3)*(98*k - 196*k - 164 + 100*k) to the form u*k**2 + v*k**3 + s*k**4 + y + n*k and give u. 0 Rearrange -97*n**2 - 168 + 8*n**2 + 96*n**2 to k*n**2 + a*n + r and give r. -168 Express (137*h + 1890*h**3 + 133*h - 270*h - 41470*h**3)*(3 - 1 - 1) as u + m*h + a*h**3 + l*h**2 and give a. -39580 Rearrange 605 + 2*l - l + 533 - 372 + 182 to the form n*l + r and give n. 1 Express (-2 + o**2 - 2*o + 2)*(57*o - 71*o + 404*o) + (0*o + 2*o - 3*o)*(2 - 2*o - 2)*(2*o - o - 3*o) as y*o**3 + x*o**2 + l*o + f and give y. 386 Rearrange -29*k**2 + 704 - 25*k**2 - 36*k**2 - 28*k**2 + 117*k**2 to v*k**2 + q*k + p and give v. -1 Rearrange (2*w - 2*w + 3*w**2)*(-3*w**2 + 3 - 3) + 52543*w**2 - 52543*w**2 + 8336*w**4 to v*w**4 + k*w**3 + x + d*w**2 + z*w and give v. 8327 Rearrange -15094909 + 15094909 + 70*g to the form l*g + o and give l. 70 Rearrange (-3*u + 0*u + 2*u)*(292 + 1249 + 296) to the form z + l*u and give z. 0 Rearrange -12 + 62951*s**2 + 236 - 2*s - 62953*s**2 to t*s + p + b*s**2 and give p. 224 Express 17 - 17 - 7*n + (16*n + 0*n - 5*n)*(0 - 6 + 0) + 0*n + 14*n - 4*n in the form k*n + c and give k. -63 Express -2*k**4 - 212*k + 102*k + 102*k + 32*k**2 + 6*k**2 - 1 as l*k**4 + p*k**2 + n*k + f + u*k**3 and give n. -8 Express 119*j**4 - 2 - 80*j**2 + 6*j**3 + 44*j**4 - 2*j**3 + 82*j**2 - j in the form a + p*j + d*j**3 + t*j**4 + v*j**2 and give v. 2 Express -7436 + 3641 + 4149 - 5*s as h*s + o and give h. -5 Express (3*d - 4*d + 2*d)*(5*d + 0*d + 0*d)*(-6 - 17*d + 6) + 23*d**3 + d**3 + 24*d**3 in the form w*d + m*d**3 + l + q*d**2 and give m. -37 Express -300*u + 97*u + 109*u + 30 + 449 + 93*u in the form i + r*u and give i. 479 Rearrange 6583*m - 6767*m - 5586*m to w*m + l and give w. -5770 Rearrange -90 - 65 + 78 - 14401*f + 77 to the form z + b*f and give b. -14401 Express 614*q**4 + 551 - 551 + 2 - 4*q**4 - 2 + 3*q**4 - 3*q**4 + q**4 + (2 + q**3 - 2)*(1 - 1 + 2*q) in the form j*q**4 + u*q + b + w*q**2 + f*q**3 and give j. 613 Rearrange -z**3 - 18*z**2 + 11 + 9*z**2 - 30 + 56*z - 14*z + 10*z**2 to the form w + o*z**3 + f*z**2 + l*z and give w. -19 Rearrange 3 + o**3 + 1328*o - 358*o + 2 - 7 + 0 to the form g + l*o + m*o**3 + h*o**2 and give g. -2 Express (4 - x + 4*x - 2)*(4*x - 3*x - 2*x)*(-2*x**2 - 5*x + 5*x) - 581*x**2 + 581*x**2 + 43*x**4 as h + s*x**2 + c*x**3 + d*x**4 + i*x and give d. 49 Express -6 + 2*u - 9*u**2 - 21 + 117*u**2 + u**3 + 22 + u**3 in the form f*u**2 + a*u**3 + o + m*u and give f. 108 Rearrange -78*k**2 - k**4 - 21*k**3 + 23*k**3 - 297*k**2 + 13 + 60*k + 0*k - 59*k to the form i*k**3 + f*k + t*k**2 + q + p*k**4 and give p. -1 Express -108*k - k**2 - 125*k - k**3 - 35*k**4 - k**2 + 234*k as n*k**3 + m*k**2 + i*k + g*k**4 + f and give i. 1 Rearrange (r**4 + 4*r**4 - 6*r**4)*(-1 - 2 + 5) + 6074*r**4 - 67180 - 67172 + 134352 - r**3 + r**3 - r**4 to u*r + q*r**3 + d + i*r**4 + o*r**2 and give i. 6071 Rearrange (-4*o**3 + 4*o**3 - 2*o**3)*(0 - 5 + 3)*(451 + 55 + 1341) to the form u*o**3 + d*o**2 + z*o + l and give u. 7388 Express (-49 + 164 - 113 - 739*h)*(3 - 11 - 2) in the form w + f*h and give f. 7390 Express -3286*d + 1506*d + 10010*d as t + u*d and give t. 0 Rearrange 1457 - 284*l**2 - 2932 + 5*l + 1475 to z*l + m*l**2 + t and give z. 5 Rearrange (3*q - q - 4*q)*(-1736*q**3 - 2*q**2 - 491*q**3 - 2256*q**3) to the form b + k*q**2 + j*q**3 + r*q**4 + a*q and give r. 8966 Express -223*t**3 - 227*t**3 + 15*t**4 + 2*t + 0*t**2 - 219*t**3 + 5*t**2 + 671*t**3 as m*t + j*t**2 + x + y*t**3 + z*t**4 and give m. 2 Express (s + 536 + s - 447)*(7*s + 0 + 0)*(0*s - 2*s - s) as f*s**3 + y*s**2 + z + w*s and give f. -42 Express (-4*r**2 + 4*r**2 - 2*r**2 - 9*r)*(-27 - 8 + 1)*(-4*r + 1 - 1) in the form y*r**3 + h + a*r + f*r**2 and give y. -272 Express 13*u**4 - 295521*u - 2*u**2 - 51*u**4 + 2*u**3 + 295532*u in the form i*u**4 + n*u + h + v*u**2 + x*u**3 and give v. -2 Rearrange -246*a - 245*a - 267 - 243*a + 736*a - 206 to the form t*a + m and give m. -473 Rearrange -1433*d - 8017*d**2 + 1433*d + (3 + 2*d - 3)*(-2 + 4 - d + 0) to the form i*d**2 + u*d + j and give i. -8019 Express -6*h**2 - 21*h**3 + h + 118*h**3 - 84 - 97*h**3 + h**4 in the form n + u*h**2 + q*h + a*h**4 + b*h**3 and give u. -6 Rearrange 2*i**2 - 4*i**2 + 0*i**2 + (-15266*i - 15499*i + 32142*i)*(-2*i + 4*i - 3*i) + 3*i - 3*i + i**2 to the form s*i + a + q*i**2 and give q. -1378 Rearrange -2*x**4 - 10 + x - 221837*x**2 + x - 13*x**3 + 221837*x**2 - 5*x to u*x**2 + d + s*x**3 + m*x**4 + k*x and give d. -10 Rearrange 80003*i**3 - 160002*i**3 - i**4 - 10*i - 70 + 80000*i**3 - i**2 to o +
{ "pile_set_name": "DM Mathematics" }
the highest common factor of 64 and 647133568. 64 Calculate the greatest common divisor of 37404864 and 1536. 192 Calculate the greatest common divisor of 66196 and 2561. 13 What is the highest common divisor of 7638 and 45543? 57 What is the highest common factor of 1982610 and 4320? 270 What is the highest common divisor of 298210 and 150? 10 Calculate the greatest common factor of 1129836 and 6216. 12 Calculate the greatest common factor of 22 and 259316926. 22 Calculate the greatest common factor of 448 and 22054648. 56 Calculate the highest common divisor of 153 and 135167. 17 What is the greatest common divisor of 1241121882 and 12012? 6006 What is the greatest common factor of 360 and 1146648? 24 What is the highest common factor of 51940917 and 4095? 63 Calculate the highest common factor of 1751150 and 650. 50 What is the highest common divisor of 14910805 and 35? 35 What is the highest common divisor of 90161676 and 153? 153 What is the highest common divisor of 24588 and 582599? 683 What is the greatest common divisor of 11513 and 471337? 29 Calculate the greatest common divisor of 8905432 and 298. 298 What is the highest common factor of 35080 and 47269423? 877 Calculate the greatest common factor of 465 and 45442218. 93 Calculate the greatest common divisor of 816390 and 320670. 90 What is the greatest common factor of 2313252 and 7101? 27 What is the greatest common divisor of 581853 and 15? 3 What is the greatest common divisor of 54 and 179511? 3 What is the highest common divisor of 8888 and 199634984? 808 Calculate the highest common divisor of 112 and 23022128. 16 Calculate the highest common divisor of 13328 and 114986144. 784 What is the greatest common factor of 15560201 and 4? 1 Calculate the greatest common divisor of 1798300 and 5425. 175 What is the greatest common factor of 5073 and 932292? 57 What is the greatest common divisor of 234 and 6054633? 117 Calculate the greatest common divisor of 14525 and 11001235. 2905 What is the greatest common divisor of 1416663 and 4899? 213 Calculate the greatest common factor of 117 and 4507451. 13 What is the greatest common divisor of 19754480 and 1160? 40 What is the greatest common factor of 221022 and 13842? 18 What is the greatest common factor of 5158484 and 4? 4 Calculate the highest common divisor of 798834 and 4. 2 Calculate the highest common factor of 584034 and 18. 6 What is the greatest common divisor of 415 and 246657325? 415 What is the highest common divisor of 355386 and 123317? 971 What is the highest common factor of 14829633 and 532? 133 Calculate the highest common divisor of 938809844 and 24444. 2716 Calculate the greatest common divisor of 115 and 2682467. 23 Calculate the highest common divisor of 5063536 and 4. 4 Calculate the highest common divisor of 1548 and 3294789. 129 What is the greatest common divisor of 329549412 and 12? 12 What is the highest common factor of 346446230 and 13? 13 Calculate the highest common factor of 3782 and 1072746. 122 Calculate the greatest common factor of 3725022676 and 13964. 13964 Calculate the greatest common divisor of 196 and 821779. 49 What is the highest common divisor of 1222257 and 1647? 183 Calculate the greatest common factor of 68742 and 351. 27 What is the greatest common divisor of 63 and 507033? 9 What is the greatest common divisor of 17 and 339203329? 17 Calculate the highest common factor of 11616179 and 101498. 2671 Calculate the highest common factor of 19734266 and 24. 2 Calculate the highest common divisor of 336 and 120728496. 336 Calculate the greatest common factor of 2356 and 36310083. 589 What is the highest common factor of 10324 and 182272? 356 Calculate the greatest common factor of 274 and 7462390. 274 What is the greatest common factor of 1749401 and 3376? 211 Calculate the greatest common divisor of 10445800 and 65250. 1450 What is the highest common factor of 13 and 1897212005? 13 What is the greatest common divisor of 126 and 49330848? 42 What is the highest common factor of 20 and 6052510? 10 What is the greatest common factor of 75193890 and 376? 94 What is the greatest common factor of 1386 and 15046614? 198 Calculate the highest common factor of 27746448 and 111. 111 Calculate the greatest common factor of 7222073 and 261. 29 What is the greatest common factor of 143404821 and 3528? 441 Calculate the greatest common factor of 45171 and 3661. 7 Calculate the highest common divisor of 63396 and 101952. 108 Calculate the highest common factor of 19992 and 4179144. 408 What is the greatest common divisor of 120947862 and 147? 21 Calculate the greatest common divisor of 201409185 and 30. 15 What is the highest common divisor of 8004 and 3366648? 276 Calculate the highest common divisor of 219806597 and 681. 227 What is the greatest common factor of 3490227 and 575? 23 What is the highest common factor of 292 and 196298533? 73 Calculate the highest common divisor of 21516 and 9300324. 132 Calculate the highest common factor of 272525749 and 2141. 2141 What is the greatest common divisor of 8950 and 50034080? 1790 Calculate the highest common factor of 8274925 and 25. 25 Calculate the greatest common factor of 84 and 7999173. 21 What is the highest common factor of 1506558 and 28950? 1158 Calculate the greatest common divisor of 9750 and 1681170. 30 What is the highest common factor of 10 and 60744170? 10 Calculate the greatest common divisor of 7128 and 10056204. 108 Calculate the highest common divisor of 375 and 3601375. 125 Calculate the highest common factor of 1752507 and 243. 9 What is the highest common factor of 854823 and 5730776? 2663 What is the greatest common factor of 14661 and 44040015? 1629 Calculate the greatest common factor of 82852053 and 3411. 1137 Calculate the highest common factor of 57130 and 27260. 290 What is the greatest common divisor of 858116 and 1876? 28 Calculate the greatest common factor of 8797 and 2227541. 19 What is the greatest common factor of 1172 and 7167659? 293 Calculate the greatest common divisor of 14473833 and 1221. 33 Calculate the greatest common divisor of 42588 and 27651. 39 What is the highest common divisor of 6461532 and 2916? 324 Calculate the greatest common divisor of 7051 and 1115642. 11 What is the highest common divisor of 16266512 and 12416? 1552 What is the highest common divisor of 188976 and 2664968? 1016 Calculate the greatest common divisor of 23193 and 4293. 27 Calculate the greatest common factor of 36 and 16630767. 9 What is the highest common divisor of 33159160 and 1230? 410 What is the highest common divisor of 33150459 and 969? 969 What is the highest common factor of 11257986 and 3? 3 What is the greatest common divisor of 50433808 and 3424? 1712 Calculate the highest common divisor of 51726 and 11766. 222 What is the highest common factor of 12754110 and 7464? 1866 Calculate the greatest common divisor of 9139004 and 828. 92 What is the highest common factor of 1988 and 27091? 1 Calculate the highest common factor of 42 and 220639956. 6 Calculate the highest common factor of 29999154 and 2428. 1214 What is the highest common divisor of 32635 and 826789? 107 What is the greatest common divisor of 881604 and 4050324? 972 Calculate the highest common factor of 27961053 and 1432. 179 Calculate the highest common factor of 400 and 6714440. 40 Calculate the highest common factor of 11173806 and 36. 18 What is the greatest common divisor of 1941498 and 403? 13 Calculate the greatest common factor of 1449 and 1598661. 207 Calculate the highest common divisor of 140 and 97118. 14 Calculate the greatest common divisor of 2690553635 and 385. 385 Calculate the highest common factor of 779 and 65187062. 19 What is the highest common divisor of 1041 and 569006783? 347 Calculate the highest common divisor of 3246581 and 91. 13 Calculate the highest common factor of 110632360 and 4150. 830 What is the highest common divisor of 3 and 16068229? 1 Calculate the greatest common divisor of 5828 and 13609. 31 What is the highest common factor of 7205393 and 20436? 1703 Calculate the highest common factor of 610987685 and 7. 7 What is the greatest common factor of 9080 and 31769104? 1816 Calculate the greatest common factor of 42 a
{ "pile_set_name": "DM Mathematics" }
j be a(4). Give j*i(v) + 2*b(v). 8*v - 2 Let d(s) = 3*s**3 - 5*s**2 - 8*s + 5. Let j(f) be the second derivative of -3*f**5/4 + 2*f**4 + 13*f**3/2 - 12*f**2 + 2542*f. What is 24*d(r) + 5*j(r)? -3*r**3 + 3*r Let h(c) = -c**3 - c**2 - c. Let y(x) = 2*x**3 + x + 9. Let q(n) = -n**3 + 9*n**2 + 9*n - 163. Let u be q(6). Calculate u*h(s) - y(s). -s**3 + s**2 - 9 Let c(i) = -i. Let w = 3 - 2. Let m = -33 - -39. Suppose 22*y = 21*y + m. Let l(j) = 4*j. What is w*l(v) + y*c(v)? -2*v Let o(c) = -4155*c + 17. Let v(a) = 4156*a - 14. Determine 4*o(x) + 5*v(x). 4160*x - 2 Let q(h) = 32*h**2 + 13*h - 2. Suppose 5*d + 5 = 0, -85*r - 64 = -79*r - 2*d. Let k(v) = 16*v**2 + 7*v - 1. Calculate r*k(g) + 6*q(g). 16*g**2 + g - 1 Let c(b) = 7*b + 1. Let j(v) = -v**2 + 8*v - 5. Calculate 2*c(y) + j(y). -y**2 + 22*y - 3 Let d(c) = -c**3 + 10*c**2 - 41*c - 38. Let a(w) = -2*w**2 + 10*w. Calculate -4*a(u) - d(u). u**3 - 2*u**2 + u + 38 Let k(o) = 7*o**3 - 3*o**2 - 2*o + 6. Let i(c) be the first derivative of 3*c**4/2 - c**3 - c**2/2 + 5*c - 649. Give -6*i(y) + 5*k(y). -y**3 + 3*y**2 - 4*y Let j be 321/105 - (-102)/(-1785). Let d(n) = -3*n**3 - 3*n**2 - 4. Let a(k) = 7*k**3 + 5*k**2 + 7. Determine j*a(w) + 5*d(w). 6*w**3 + 1 Let v(m) = 85*m**3 - 5*m**2 - 2*m + 12. Let a(j) = 21*j**3 - j**2 + 3. Give 9*a(p) - 2*v(p). 19*p**3 + p**2 + 4*p + 3 Suppose 3*s = -26 + 11. Let h(n) be the second derivative of -n**3 + 0 - 5/2*n**2 + 39*n. Let z(p) = 4*p + 3. Give s*h(q) - 8*z(q). -2*q + 1 Let y(b) = 2 + 1 - 5*b**2 - 8*b + 4. Let i(r) = r**2 + r - 1. Let k(p) = -283*p - 16711. Let a be k(-59). What is a*i(h) - 2*y(h)? -4*h**2 + 2*h Let b(z) = -159*z**2 + 2*z + 20. Let i(w) = -153*w**2 + 3*w + 16. Give 4*b(k) - 5*i(k). 129*k**2 - 7*k Let y(n) = 344*n**3 - 24*n - 24. Let l = -29814 - -29790. Let t(h) = 69*h**3 - 5*h - 5. Calculate l*t(p) + 5*y(p). 64*p**3 Let d(f) be the third derivative of -f**4/24 - 1291*f**2. Let t(z) = -24*z. Give -54*d(l) + 2*t(l). 6*l Let d(n) = -121*n + 56. Let o(v) = -243*v + 127. Calculate 9*d(x) - 4*o(x). -117*x - 4 Let s(h) = 11*h - 44. Let o(d) = 6*d - 22. Let a(m) = 5*o(m) - 3*s(m). Let k be a(7). Let q(t) = -3*t + 1. Let n(r) = r + 4 - 4. Give k*n(c) + q(c). -2*c + 1 Let d(l) = -2*l**2 - 18*l. Let z be 12/7 - 2/(-7). Suppose -35*u + 39*u - 88 = -2*y, 5*y = 5*u + 160. Let n(a) = -2*a + 3*a + 0*a. Calculate y*n(j) + z*d(j). -4*j**2 Let o(d) = 6*d - 7. Let h(c) be the second derivative of -c**3 + 4*c**2 - 2449*c. Calculate -4*h(r) - 5*o(r). -6*r + 3 Let q(r) = -36*r**3 - 8*r**2 - 8*r - 8. Let d(f) = f**3 + f**2 + f + 1. Suppose -756*z = -760*z + 4. Give z*q(m) + 8*d(m). -28*m**3 Let p(x) = 107*x + 84. Let c(s) = 232*s + 169. Calculate 6*c(a) - 13*p(a). a - 78 Let d(h) = -h**2 - 6*h - 4. Let x(a) = -a**3 - 5*a - 3. Let o(l) = l**2 + 198*l + 3237. Let k be o(-18). Calculate k*d(q) + 4*x(q). -4*q**3 + 3*q**2 - 2*q Let b(r) be the first derivative of -r - 7116. Let i(z) = -2*z**2 - 6*z + 1. Determine -b(d) + i(d). -2*d**2 - 6*d + 2 Let y(f) = -15*f**2 + 36*f + 6. Let q(j) = j + 2. What is 3*q(n) - y(n)? 15*n**2 - 33*n Let m(w) = w - 6. Suppose -4 = 3*t + 5. Let d(c) = -3*c + 17. Let y be -16 + 16/112*56. Give t*d(k) + y*m(k). k - 3 Let s(b) = -7*b**2 + 2*b**3 + 3*b - 11*b**2 - 3 + 23*b**2 - 4*b**2. Let c = 315 - 312. Let m(v) = 5*v**3 + 2*v**2 + 6*v - 7. Give c*m(h) - 7*s(h). h**3 - h**2 - 3*h Let u(o) = 4*o**3 + 50*o - 1. Let y(m) = 4*m**3 + 49*m - 1. Calculate -3*u(x) + 4*y(x). 4*x**3 + 46*x - 1 Let k(m) = -7*m + 5. Suppose -3*n + n + 5*o - 3 = 0, -o = -2*n + 17. Let g(t) = -11 + 3*t - n + 20. Suppose y = 4 + 5. Give y*g(r) + 4*k(r). -r + 2 Let s(k) = -k**3 - 14*k**2 + 14*k - 21. Let n be s(-15). Let j be 3*12/n + 7. Let i(d) = 2*d - 9. Let x(z) = -z + 1. Give j*i(a) + 3*x(a). -a - 6 Let w(n) = 0 - 2 + 2*n - n. Let b(s) = -s + 1. Let h(x) = 20*x + 81 - 42*x + 14*x + x**2 + 21*x + 6*x. Let v be h(-7). Determine v*w(p) - 5*b(p). 2*p + 1 Let p(i) = -24696280*i - 55297. Let f(r) = -19647*r - 44. What is 5027*f(s) - 4*p(s)? 19651*s Let x(i) = 28*i - 73. Let u(h) = 26*h - 69. What is 3*u(w) - 2*x(w)? 22*w - 61 Let j(q) = 13*q**2 - 5*q - 2. Let w(x) = 25*x**2 - 11*x - 5. Let g be (10/(-15))/(3/(-36)) - (-15)/(-15). Calculate g*j(u) - 3*w(u). 16*u**2 - 2*u + 1 Let x(z) = 5*z**2 + 8*z - 148. Let t(d) = 6*d**2 + 10*d - 151. Determine -4*t(w) + 5*x(w). w**2 - 136 Let z(p) = p + 1. Let w(h) be the second derivative of -h**4/3 + 5*h**3/6 + 3*h**2 - 2*h + 2338. Give w(f) - 5*z(f). -4*f**2 + 1 Let l(c) = -c**2 + 5*c - 4. Let d = 1107 + -1102. Let t(y) = -6*y + 5. Let n = -503 + 507. What is d*l(x) + n*t(x)? -5*x**2 + x Let v(l) = -5*l**2 - 1. Let x(u) = 33*u**2 - 399. Determine -6*v(q) - x(q). -3*q**2 + 405 Let t(p) = 24*p - 6356. Let f(s) = 19*s - 5085. Determine 14*f(a) - 11*t(a). 2*a - 1274 Let u(x) be the first derivative of x**4/4 + 1205. Let v(t) = 16*t**3 + t. Determine -6*u(l) + v(l). 10*l**3 + l Let z(i) = -i**2 - 11*i - 7. Let t be z(-10). Let a(r) = r - 3 + t*r**2 + 5*r + 5*r - 9*r. Let v(p) = 7*p**2 + 4*p - 7. Determine -5*a(b) + 2*v(b). -b**2 - 2*b + 1 Let m(l) = -7*l**3 - 6*l**2 + l - 1. Let n(o) = -o**3 - o**2. Suppose 8*y - 15 = 25. Suppose -4*h - 3*u = -h, 5*u = -y. What is h*m(v) - 6*n(v)? -v**3 + v - 1 Let d(l) = -43*l - 14. Let m(w) = -8085*w - 1 - 8086*w + 16185*w + 6. What is 3*d(y) + 8*m(y)? -17*y - 2 Let n(x) = 22*x + 18. Let q(a) = 7*a + 6. Suppose 23 = 6*j - 7. Determine j*n(g) - 16*q(g). -2*g - 6 Let c(j) = -7*j**2 + 1. Let p be (-126)/168 - (-3)/(-12). Let x(b) = -b**2 - b + 1. Calculate p*c(k) + 3*x(k). 4*k**2 - 3*k + 2 Let v(r) = -21*r**3 + 9*r**2 - 5*r + 9. Let l(q) = 2*q**2 + 478 - 130 - q - 5*q**3 - 346. Give -9*l(j) + 2*v(j). 3*j**3 - j Let g(j) = 3*j + 4. Let z(u) = 81*u - 30*u - 9 - 27*u - 30*u. Let d be (-1)/(4 - 3) - 8. What is d*g(n) - 4*z(n)? -3*n Let f(v) = -410*v - 35. Let o(s) = -14*s - 2. Give f(a) - 20*o(a). -130*a + 5 Let k(r) = -11*r**2 - 11. Let b(c) = -6*c**2 - 5. Let y be -3 + 0 + 3 - (-4 - 1). Calculate y*k(o) - 11*b(o). 11*o**2 Let o(d) = 6*d**2 + 15*d + 30. Let m(n) = -n**2 - 2*n - 4. Let f(b) = 15*m(b) + 2*o(b). Let j(q) = 8*q**2 + q**2 - 4*q**2. Calculate 9*f(k) + 4*j(k). -7*k**2 Let a(g) = 1. Let l(j) = -127*j + 1. Let r(k) = -94*k + 2. Let s(n) = 3*l(n) - 4*r(n). Suppose -4*w = -2*w - 3*z - 22, 3*z - 13 = -5*w. Calculate w*a(q) + s(q). -5*q Let u(s) = -6*s**2 + 4*s + 4. Let m(w) = 18*w**2 - 11*w - 11. Let n = -161 + 162. Let i be n/((-4)/(-12)*(-3)/(-11)). What is i*u(y) + 4*m(y)? 6*y**2 Let h(r) = -3*r**3 + 3*r**2 - 6*r + 9. Suppose -4*q = 17*y - 22*y - 8, -3*q = -6*y + 3. Let v(o) = 3*o**3 - 3*o**2 + 5*o - 8. Determine q*v(m) + 6*h(m). 3*m**3 - 3*m**2 - m - 2 Let l(j) = 160 + 217 - 380 + 11*j. Let t(f) = -21*f + 7. Give -9*l(z) - 4*t(z). -15*z - 1 Let a(x) = -32*x**2 + 12*x + 12. Let q(t) = 5*t + 2. Let r be q(2). Let o(i) = 535 + 522 + 13*i**2 - 5*i - 1062. Let g = -37 - -42. Determine g*a(z) + r*o(z). -4*z**2 Let j(v) = -20*v - 336. Let n be j(-17). Let q(t) = -n - 10404*t + 10399*t + 1. Let m(g) = 3*g + 1. Determine -7*m(h) - 4*q(h). -h + 5 Let r(s) = s**3 - s**2 - s. Suppose -2*v - 4 = 2*h, -5*v = 106 - 101. Let u(l) = -7*l**3 + 3*l**2 + 9*l. Give h*u(x) - 4*r(x). 3*x**3 + x**2 - 5*x Let v(y) = -37*y**3 - 210*y - 210*y + 642*y - 216*y. Let g(d) = d. What is -6*g(x) + v(x)? -37*x**3 Let t(c) = 1779*c - 90. Let i(s) = 317552*s - 16056. Calculate 5*i(f) - 892*t(f). 892*f Let q(k) = -395*k + 33. Let t(h) = -791*h + 71. Determine -13*q(i) + 6*t(i). 389*i - 3 Let p(g) = -10*g**2 - 3*g + 3. Let d(n) = 59*n**2 + 17*n - 17. Let l(s) = -s**3 + 34*s**2 - 46*s + 1598. Let f be l(34). What is f*p(h) + 6*d(h)? 14*h**2 Let q(m) = -51*m - 302. Let r(j) = 51*j + 357. Calculate 7*q(t) + 6*r(t). -51*t + 28 Let h(a) = -208*a. Let c(t) = -20*t + 1. Determine -5*c(w) + h(w). -108*w - 5 Let r(s) be the third derivative of 5*s**4/24 - s**3/3 + 6344*s**2. Let c(b) = -4*b + 1. What is 4*c(f) + 3*r(f)? -f - 2 Let i(g) = -23*g**3 + g**2 + 114*g - 19. Let u(r) = -7*r**3 + 36*r - 6. Determine -6*i(j) + 19*u(j). 5*j**3 - 6*j**2 Let j(g) = g**2 + 18*g - 3. Let a(o) = -2*o**2 - 54*o + 8. Suppose 0 = 2*z + 2*l + 8, 29 + 21 = 5*z - 5*l. Give z*a(h) + 8*j(h). 2*h**2 - 18*h Let o(r) = 61*r**2 + r - 2. Let v(c) = -123*c**2 + 7*c + 5. Calculate
{ "pile_set_name": "DM Mathematics" }
15.6 + 0.4. Let z = -14 + p. Let y = 20491/35 - 4101/7. What is the second biggest value in 0.3, z, y? 0.3 Let n = 11653 + -11656. Which is the third smallest value? (a) -0.1 (b) n (c) -186 (d) 7/4 a Let r = -25.604 + 12.604. Which is the third smallest value? (a) 0.15 (b) r (c) 0.3 c Let z be 655*6*(-2)/(-36). Let k = 218 - z. Which is the third biggest value? (a) 0.4 (b) 0.1 (c) k c Let j = 93.2557 + -0.2557. Let z(l) = -2*l - 13. Let d be z(-8). What is the second biggest value in j, d, 1/5? d Suppose -5*h - 5*u - 10 = 0, h - 3*u - 2 + 0 = 0. Suppose -3*i - 6 = -i. Let p be (i/30)/((-1)/4). What is the biggest value in p, -0.3, h? p Let w be (2628/78)/6 + 3 + -8. What is the smallest value in -2/21, w, -2/9, -1? -1 Let p = -12 - -57. Let f = p - 63. Let n = -18.3 - f. Which is the third biggest value? (a) 0.5 (b) 1/13 (c) n c Let q = -7.25 - -11.99. Let d = 2.74 - q. What is the second biggest value in d, 4, -6/7, -5/2? -6/7 Let d(f) = f**2 - 5*f - 234. Let m be d(18). What is the smallest value in -4/5, 0.2, -4, m, 3? -4 Let s = -3389 + 6781/2. What is the fourth smallest value in -1/3, -0.3, -12, s, -0.2? -0.2 Let t be (-3)/((-105)/(-14))*(-48)/(-32). What is the third biggest value in 0.3, 5, 0.4, t, 2/13? 0.3 Let a = -15358 + 15377.0496. Let z = a - 0.0496. What is the third smallest value in z, 1/4, 0? z Let h be (848/(-24) - -34)/((-2)/1). What is the biggest value in 507.6, h, -0.5? 507.6 Suppose 0 = -1032*j + 722*j - 5270. What is the fifth smallest value in j, 3/7, 2/9, -0.1, 1.8? 1.8 Let i = -53 + 360. Let u = i - 305. Which is the third smallest value? (a) 45 (b) u (c) -5 a Let j be ((-61)/366)/(51/(-36)). Let q be (9/(-30))/((-2)/(-4)). What is the second biggest value in q, 0.5, -4, j? j Suppose -3*t + 2*y = -9, -2*t + 4*t = -2*y + 6. Let u = 11316 + -11319. What is the second biggest value in t, u, 9? t Let v = -33556 + 33561. Let m = -4.3 + 4. Which is the third smallest value? (a) 1 (b) v (c) m b Let p = -8081 - -8083. What is the second biggest value in -0.4, 306, -2, p? p Let p = -5.09 - -0.09. Let k = -3.8 + 4. Let q = -23178/5 - -4635. Which is the fourth biggest value? (a) -0.4 (b) p (c) k (d) q b Let v = -53.1 + 82.1. Let t = 28 - v. What is the third biggest value in t, 1/2, 3/8, 14? 3/8 Let q(g) = 2*g**2 - g - 1. Let n be q(1). What is the third biggest value in 0.2, n, -1/3, -4/11? -1/3 Let f = -0.2 - -0.7. Let y = 5637 + -5125.4. Let n = y + -512. What is the second smallest value in n, f, 5? f Let j be ((-3)/2)/(6*27/24). What is the smallest value in -608, 2/3, j? -608 Let f = -0.1 - -0.6. Let u = -111 - -110.886. Let v = -10.114 - u. Which is the second biggest value? (a) -1/3 (b) f (c) v a Let n = -448 + 2687/6. Let z = -4.019 + 0.019. What is the third biggest value in 2, n, z? z Let v = -21.0675 - -0.0675. What is the smallest value in -2, v, -0.9? v Let k = -0.45588 + 0.05588. What is the third smallest value in -1/12, k, -3/2, 27? -1/12 Let a = -0.00916 - 0.29084. What is the fourth smallest value in 3, 0.2, a, -274? 3 Let n = 7326 - 7319. Which is the biggest value? (a) -6/5 (b) n (c) 4 b Let i be 1/7*(3 - 2). Let b = -765 + 701. Let c = 53 + b. What is the smallest value in c, 3, i? c Let q be (-5316)/330 - (-1216)/76 - (-1)/5. Let h = -1.5 + -5.5. Let f = 10 + h. What is the second biggest value in q, 4, f, 1/3? f Let q = 15150 + -15147. Which is the smallest value? (a) 4832 (b) 1/2 (c) 5 (d) q b Let n = 0.0502 + -53.9902. Let q = -54 - n. Which is the second biggest value? (a) q (b) -2/13 (c) 2/17 a Let y = -11393 + 11398. What is the second biggest value in -27, 0.5, 2.1, y? 2.1 Let w be (-15)/(-6)*(-27)/200. Let v = -15/16 - w. Let m = 109/4 - 541/20. Which is the third biggest value? (a) 3 (b) m (c) v (d) 2/15 d Let h = -1.564 + -0.436. Which is the third smallest value? (a) h (b) -0.06 (c) -1.7 b Let x be 9 + 6714/12 - 2. Let u = x - 566. Let d = -11 - -8. What is the second smallest value in 0.3, 5, u, d? 0.3 Let s = 0.39 + -0.18. Let k = s + -0.22. Which is the second biggest value? (a) -1 (b) k (c) 1 (d) 5 c Let o = 0.093 - 0.393. Let q = o + 5.3. What is the smallest value in q, -0.3, 1/3, -3? -3 Suppose -8*h + 5*h = 0. Let g = 0.38 + -1.53. Let v = g + 0.95. What is the third smallest value in 1, v, h? 1 Let a = 561.1 - 539. Let f = -26.1 + a. What is the fourth smallest value in 0.1, f, 7/4, -0.2? 7/4 Let u(i) = -7*i + 215. Let c be u(30). Suppose -c*y = -s - 362, 5*y - 3*s - 222 = 2*y. What is the smallest value in 1, y, 1/10? 1/10 Let h = 167.63 - 164.63. Which is the second smallest value? (a) h (b) -5/4 (c) 20 (d) -1/8 d Let m be (2 - 2) + -2 + 2. Suppose 199*o + 264 = -134. Suppose -3 + 0 = k. What is the second smallest value in m, o, k, 8? o Let i = 14.22 - 17.479. Let h = -0.041 + i. Let v = h - -0.3. Which is the smallest value? (a) 0.1 (b) v (c) -1/4 b Let m = 7 + -2. Let z = -756 + 723. Let n = 34 + z. What is the third biggest value in m, 1/2, n? 1/2 Let b = -0.6467 + 0.0207. Let d = -0.374 + b. What is the second biggest value in d, 4, 2, 4/3? 2 Let x = 0.05 - 0.11. Let j = -0.1184 + -175.6816. Let s = 175.8 + j. What is the third smallest value in 8, x, s? 8 Let r = 13540 + -13537. Let y = 0.07 + -4.07. Let u = -3 + y. Which is the smallest value? (a) r (b) -1/6 (c) 0.3 (d) u d Let x = 3480 + -4019. Which is the third biggest value? (a) x (b) -3/5 (c) -0.1 a Let h = -2.1 - -2. Let v(l) = -312*l + 6860. Let z be v(22). What is the third biggest value in h, 8/9, z? z Let i = -124 + 83. Let d = i + 40.967. Let p = -0.077 + d. What is the third biggest value in p, 1/4, 2/9? p Let u = -2.95 - -28.35. Let y = u + -19.4. What is the third smallest value in y, 2/13, -2? y Let i be (-185)/(-37)*(4/(-8) - (-3)/5). Let l(u) = -1 + 2 + 2 - u. Let r be l(0). What is the fourth biggest value in i, -2, -0.4, r? -2 Let k = 0.023 - 5.023. Let j = -1131/7 - -161. Which is the fourth smallest value? (a) j (b) k (c) -1/6 (d) -0.2 c Let g = -4.3879 + 4.3379. Which is the second biggest value? (a) g (b) -1 (c) 5 (d) 3/7 (e) -2/5 d Let b = 30.92 + -2.52. Let w = b - -8.6. What is the third smallest value in w, -2, -1/7, -0.3? -1/7 Let a be 3/24*-7*6/(-21). Let b be 6/(-18) - 1/(-12). What is the second biggest value in b, a, -1/2, -1? b Suppose -6*w + 23*w + 16 - 84 = 0. What is the smallest value in 12, -5, -8, w? -8 Let g = -69.2068 + -0.2432. Let o = g - -68. Let u = o - 58.55. Which is the smallest value? (a) u (b) 0.4 (c) -1 (d) 1 a Let n = 585.1 - 617.1. Which is the third smallest value? (a) 20 (b) 1 (c) n a Let m = 1833 - 1846. Which is the second smallest value? (a) -1/6 (b) 5 (c) m (d) -0.1 (e) 2/9 a Let r = 32 + -28. Let c = -813 - -813.5. What is the second smallest value in 0, c, r, -5? 0 Let c be (-357)/(-2992) - 3/(-48). What is the second biggest value in c, -97/2, 5? c Let x(u) = 8*u**2 + 13*u + 22. Let m be x(-2). Let p be m/(-616)*(-1 + 5). Which is the third smallest value? (a) -2 (b) p (c) 2/3 (d) -0.5 b Let z = 73.268 + -1.268. Which is the second smallest value? (a) 2/7 (b) z (c) -3/4 (d) -4 (e) -3 e Let n = 74.129 - 0.129. Let t = n - 69. Let y = -9.89 - 2.11. What is the third biggest value in 0.5, t, y? y Let m(u) = -u**3 + 35*u**2 - 67*u + 4. Let x be m(2). Which is the fourth smallest value? (a) -5 (b) 0.5 (c) x (d) -1 (e) -166 b Let f(h) = -h**3 + 11*h + 4. Suppose 23 = 16*d + 23. Let y be f(d). Let m = -40/9 + 169/36. Which is the smallest value? (a) m (b) y (c) -0.9 c Let f be (-10*3/(-40))/((-12)/(-16)). Suppose 0 = 6*o - o - 10. What is the fourth smallest value in f, -0.2, -0.3, o? o Let i be -10*17/7140*3. Which is the third smallest value? (a) 0.6 (b) i (c) 0.4 a Let d = -41/2 + 21. Let q be 53/(-212)*2*6. Let k = -132 + 134. Which is the third smallest value? (a) d (b) q (c) k c Let o = -0.215612 + -4.784388. Let t be ((-1)/(-4))/(1/102). What is the third biggest value in 1/2, t, -1/2, o? -1/2 Let f = -164 + 160. Suppose -2*y = -0*y + 5*o + 6, 5*y - 18 = 4*o. Let v = -8/27 + 5/27. What is the fourth biggest value in 2/13, y, v, f? f Let o = -460.9 - -468. Which is the biggest value? (a) -0.2 (b) -4 (c) 2 (d) o d Let q = -141.703 - 0.297. Let k = -137 -
{ "pile_set_name": "DM Mathematics" }
13, -3018, -3161? -3348 What comes next: 3398, 6798, 10198? 13598 What comes next: 249, 336, 423, 510, 597, 684? 771 What comes next: -29130, -58261, -87390, -116517, -145642, -174765? -203886 What is next in 1776, 1779, 1782, 1785, 1788? 1791 What is next in 176, 350, 524, 698, 872? 1046 What comes next: -240, -454, -666, -876? -1084 What is next in -84, -155, -242, -351, -488? -659 What comes next: -2, -31, -108, -257, -502, -867? -1376 What is the next term in -106, -216, -328, -442? -558 What is the next term in 119, 119, 105, 71, 11, -81? -211 What is the next term in -196, -386, -572, -754? -932 What comes next: -1756, -1746, -1730, -1708, -1680, -1646? -1606 What comes next: 469, 938, 1407, 1876, 2345, 2814? 3283 What comes next: -14, 7, 36, 79, 142, 231? 352 What comes next: -30, -36, -46, -60, -78, -100? -126 What is the next term in -2595, -2593, -2591, -2589, -2587, -2585? -2583 What is the next term in -1329, -2656, -3983? -5310 What comes next: -47, -103, -159, -215? -271 What is the next term in 64, 131, 200, 271, 344? 419 What is the next term in 249, 229, 193, 135, 49, -71, -231? -437 What is next in 129, 161, 193, 219, 233, 229? 201 What is next in 84, 96, 108, 120, 132? 144 What is the next term in 218, 215, 212, 209, 206? 203 What is next in 175, 727, 1655, 2965, 4663, 6755, 9247? 12145 What comes next: 14, 17, 10, -13, -58, -131, -238, -385? -578 What comes next: 956, 956, 954, 950, 944? 936 What is the next term in -133, -266, -399, -532, -665? -798 What comes next: 143, 333, 525, 719, 915? 1113 What is the next term in 154, 269, 382, 493, 602, 709? 814 What is the next term in 261, 262, 263, 264, 265, 266? 267 What is the next term in 12, 23, 48, 93, 164, 267? 408 What is next in -53, -182, -383, -650, -977, -1358, -1787, -2258? -2765 What is the next term in 48, 101, 154? 207 What is next in 957, 965, 973, 981, 989, 997? 1005 What is next in 148, 294, 440, 586, 732? 878 What is next in 79, 129, 179? 229 What is next in 82, 97, 112, 127, 142? 157 What is next in -3, -57, -157, -303, -495, -733, -1017? -1347 What is next in -10, -23, -52, -103, -182, -295? -448 What is the next term in -59, 19, 149, 331, 565, 851? 1189 What comes next: 2517, 2518, 2519? 2520 What comes next: -582, -585, -588, -591, -594, -597? -600 What comes next: 14, 29, 36, 29, 2, -51, -136, -259? -426 What is next in -33, 27, 195, 525, 1071, 1887, 3027, 4545? 6495 What is next in -1604, -3204, -4802, -6398, -7992, -9584? -11174 What comes next: -68, -70, -72? -74 What comes next: 4, 26, 50, 76, 104, 134, 166? 200 What comes next: 64, 114, 164, 214, 264, 314? 364 What comes next: -478, -479, -480? -481 What is the next term in 218, 449, 688, 935? 1190 What comes next: 162, 135, 100, 63, 30? 7 What comes next: 21, 81, 191, 357, 585, 881, 1251? 1701 What is the next term in -19, -65, -143, -253, -395, -569? -775 What is next in -1223, -1229, -1235, -1241? -1247 What is the next term in 144, 259, 376, 495? 616 What comes next: 993, 989, 983, 975, 965? 953 What comes next: -1, -34, -121, -286, -553? -946 What is the next term in -9, -26, -57, -108, -185? -294 What is the next term in 36, 171, 396, 711? 1116 What is next in -411, -815, -1219? -1623 What comes next: -45, -41, -35, -27, -17, -5? 9 What comes next: 109, 225, 351, 493, 657, 849, 1075, 1341? 1653 What is the next term in -11, -33, -47, -41, -3? 79 What comes next: -15, -5, 11, 33, 61, 95, 135? 181 What comes next: -7, -17, -41, -85, -155, -257? -397 What is the next term in -39, -33, -27, -21, -15? -9 What comes next: -262, -524, -786? -1048 What is next in -4328, -8657, -12986, -17315? -21644 What is next in -44, -48, -52? -56 What comes next: 119, 335, 921, 2063, 3947? 6759 What comes next: 108, 109, 102, 81, 40, -27? -126 What is the next term in -775, -740, -689, -628, -563, -500, -445? -404 What is the next term in -157, -290, -423? -556 What is the next term in 63, 192, 397, 678? 1035 What is the next term in -379, -1522, -3429, -6100, -9535, -13734, -18697? -24424 What is the next term in 321, 318, 315, 312, 309, 306? 303 What is next in -214, -207, -202, -199, -198, -199? -202 What is the next term in 357, 712, 1067? 1422 What is the next term in 63, 64, 65, 66, 67, 68? 69 What is next in 141, 568, 1287, 2304, 3625, 5256, 7203, 9472? 12069 What comes next: 117, 117, 119, 123, 129? 137 What comes next: 146, 307, 468, 629? 790 What is next in 12, 11, 20, 45, 92, 167, 276? 425 What is next in -3972, -3968, -3962, -3954, -3944, -3932, -3918? -3902 What is the next term in 359, 365, 387, 431, 503, 609, 755? 947 What is the next term in 21, 67, 187, 417, 793, 1351, 2127? 3157 What is the next term in 446, 881, 1330, 1799, 2294, 2821, 3386? 3995 What comes next: 18, 34, 64, 114, 190, 298, 444? 634 What is next in 175, 340, 505? 670 What is the next term in 98, 109, 122, 137, 154, 173, 194? 217 What is next in 5, 35, 93, 185, 317, 495? 725 What is the next term in -56, -94, -106, -80, -4, 134, 346, 644? 1040 What is next in -648, -653, -658, -663, -668, -673? -678 What is the next term in -26, -36, -56, -92, -150? -236 What is next in -401, -1613, -3639, -6479, -10133? -14601 What is next in 32, 62, 92, 122, 152? 182 What is next in 122, 111, 86, 41, -30, -133? -274 What is next in 1, 26, 51, 76, 101? 126 What is the next term in 412, 815, 1218, 1621, 2024? 2427 What comes next: 84, 76, 62, 42, 16? -16 What is next in 1743, 1739, 1743, 1761, 1799, 1863? 1959 What is next in 33, 35, 37, 39, 41, 43? 45 What is the next term in -50, -140, -264, -422, -614? -840 What comes next: -1039, -1050, -1061, -1072, -1083, -1094? -1105 What comes next: 1193, 2389, 3585, 4781, 5977, 7173? 8369 What comes next: -126, -131, -140, -153? -170 What comes next: -772, -773, -774, -775, -776, -777? -778 What is the next term in -26900, -26913, -26940, -26987, -27060, -27165, -27308? -27495 What is the next term in 7783, 7784, 7785, 7786, 7787? 7788 What is next in 25951, 25952, 25953, 25954, 25955? 25956 What comes next: 55, 95, 89, 13, -157, -445, -875? -1471 What is the next term in 6, 46, 108, 192, 298, 426? 576 What comes next: 161, 325, 501, 695, 913, 1161? 1445 What comes next: 579, 576, 573? 570 What is next in -10, -36, -86, -166, -282, -440? -646 What is the next term in -112, -229, -344, -457, -568? -677 What comes next: -2553, -2555, -2567, -2595, -2645, -2723? -2835 What is next in 28, 231, 790, 1885, 3696, 6403, 10186, 15225? 21700 What is next in 8, 9, 10, 11, 12? 13 What is the next term in 630, 626, 612, 582, 530, 450, 336? 182 What comes next: -1319, -1320, -1321? -1322 What comes next: -38, -82, -124, -164? -202 What is next in 7516, 7513, 7510, 7507? 7504 What is the next term in -40, -62, -108, -190, -320, -510, -772, -1118? -1560 What is the next term in 101, 122, 153, 194, 245? 306 What is the next term in 22, 12, 2, -8? -18 What is next in -42, -97, -158, -225, -298, -377? -462 What is next in 460, 460, 458, 454, 448? 440 What comes next: -94, -91, -88, -85? -82 What is next in -981, -1962, -2943, -3924, -4905, -5886? -6867 What comes next: 818, 1640, 2464, 3290, 4118, 4948? 5780 What comes next: -197, -360, -523, -686, -849, -1012? -1175 What is the next term in 839, 1678, 2517, 3356, 4195? 5034 What comes next: 35, 32, 23, 2, -37, -100, -193, -322? -493 What comes next: 321, 323, 325, 327? 329 What comes next: 7, 18, 37, 64? 99 What is the next term in 67, 53, 35, 13, -13, -43, -77? -115 What is the next term in -85, -166, -247, -328, -409? -490 What comes next: -3, 25, 83, 171, 289, 437, 615? 823 What comes next: 849, 886, 921, 954, 985, 1014, 1041? 1066 What is next in -524, -526, -538, -566, -616, -694? -806 What is next in -220, -429, -628, -817? -996 What is the next term in -541, -2186, -4933, -8782, -13733, -19786? -26941 What is the next term in 109, 202, 289, 370, 445, 514? 577 What is next in -2704, -2700, -2694, -2686, -2676, -2664, -2650? -2634 What is the next term in -15204, -15202, -15190, -15162, -15112, -15034, -14922, -14770? -14572 What is next in -59, -70, -95, -140, -211, -314? -455 What is the next term in 25, 24, 23, 22? 21 What is next in -291, -307, -327, -351, -379, -411, -447? -487 What comes next: -178, -351, -524, -697, -870? -1043 What is next in 22, 38, 64, 1
{ "pile_set_name": "DM Mathematics" }
lculate the common denominator of -59/9240 and 23/24360. 267960 What is the least common multiple of 123048 and 15381? 123048 Calculate the common denominator of 87/39880 and -187/480. 478560 What is the common denominator of -79/16 and 57/567344? 567344 Calculate the common denominator of -73/8 and -55/81778. 327112 Calculate the common denominator of -75/424 and 68/25917. 207336 Find the common denominator of -49/11552 and -49/34656. 34656 What is the least common multiple of 2 and 88851? 177702 What is the smallest common multiple of 14498 and 144980? 144980 Calculate the common denominator of 22/7 and 37/16982. 16982 Find the common denominator of -87/470 and -76/7191. 71910 Calculate the lowest common multiple of 173176 and 20. 865880 Calculate the smallest common multiple of 656 and 235832. 471664 What is the least common multiple of 5330 and 650? 26650 What is the lowest common multiple of 17584 and 175840? 175840 What is the smallest common multiple of 992 and 992? 992 What is the common denominator of -20/921 and -70/36951? 11343957 Calculate the least common multiple of 2259 and 5271. 15813 What is the common denominator of -93/23390 and -13/2133168? 10665840 What is the smallest common multiple of 158514 and 27? 1426626 Find the common denominator of -121/1362480 and -97/40. 1362480 What is the common denominator of -53/22 and 97/68232? 750552 Find the common denominator of -2/1785 and -73/1065. 126735 What is the least common multiple of 180 and 26064? 130320 Calculate the least common multiple of 554 and 6274. 1737898 What is the common denominator of 1/12 and 77/9690? 19380 What is the smallest common multiple of 28700 and 700? 28700 What is the lowest common multiple of 18 and 1057896? 1057896 Calculate the least common multiple of 5895 and 153. 100215 What is the lowest common multiple of 16640 and 130? 16640 What is the lowest common multiple of 1019445 and 855? 3058335 Find the common denominator of 137/72 and -73/513486. 2053944 What is the smallest common multiple of 20016 and 6394? 460368 Calculate the smallest common multiple of 78387 and 21. 548709 What is the smallest common multiple of 492 and 36408? 36408 What is the smallest common multiple of 15154 and 10? 75770 Find the common denominator of 103/91884 and 82/252681. 1010724 Calculate the smallest common multiple of 2540 and 41656. 208280 Find the common denominator of -53/624621 and 4/3. 624621 What is the least common multiple of 480 and 3660? 29280 What is the smallest common multiple of 30483 and 369? 1249803 What is the common denominator of -13/12380 and -43/55? 136180 Find the common denominator of 51/82780 and -11/62085. 248340 Calculate the smallest common multiple of 199864 and 172. 199864 Calculate the lowest common multiple of 11470 and 217. 80290 What is the smallest common multiple of 1610 and 1050? 24150 What is the common denominator of 17/54 and 35/34197? 615546 Calculate the common denominator of -19/18148 and -46/31759. 127036 What is the smallest common multiple of 117378 and 247798? 2230182 Calculate the common denominator of -49/13749 and -61/9. 41247 Calculate the common denominator of 71/373808 and -37/6128. 373808 Calculate the common denominator of 47/19890 and 85/18. 19890 Find the common denominator of -9/34 and 48/2125. 4250 Find the common denominator of 31/27 and 49/2904. 26136 Calculate the smallest common multiple of 30 and 85932. 429660 What is the least common multiple of 4662 and 2331? 4662 What is the common denominator of 7/11334 and 103/48? 90672 Find the common denominator of -127/606 and -115/1494. 150894 What is the smallest common multiple of 11220 and 50490? 100980 Calculate the smallest common multiple of 158 and 13258. 1047382 Calculate the common denominator of -139/8172 and -145/389532. 1168596 Calculate the common denominator of -67/12976 and -17/25952. 25952 Find the common denominator of 63/460 and -35/1066372. 5331860 Calculate the common denominator of -43/300 and -11/494. 74100 Find the common denominator of -109/1520 and 131/494120. 18776560 Find the common denominator of -63/442600 and 81/442600. 442600 Find the common denominator of 121/10 and 51/1162. 5810 What is the least common multiple of 132 and 28578? 57156 Calculate the common denominator of 77/246 and -41/87. 7134 Calculate the common denominator of 73/74 and 28/317053. 634106 What is the lowest common multiple of 15736 and 255710? 1022840 What is the lowest common multiple of 663624 and 553020? 3318120 What is the lowest common multiple of 14280 and 5950? 71400 Find the common denominator of -38/441 and 23/245. 2205 Calculate the common denominator of -41/35904 and -39/1760. 179520 Calculate the common denominator of -15/11 and 37/1314052. 14454572 Calculate the common denominator of 73/6 and 57/92. 276 Calculate the common denominator of -37/54372 and 67/116427. 10711284 Find the common denominator of -49/46609 and -44/127. 46609 Calculate the smallest common multiple of 327 and 24089. 72267 Calculate the lowest common multiple of 17238 and 8874. 1499706 Calculate the least common multiple of 3311 and 187781. 1314467 Find the common denominator of 64/4745 and -49/80. 75920 Calculate the lowest common multiple of 25942 and 85. 129710 What is the smallest common multiple of 10248 and 12? 10248 What is the smallest common multiple of 17068 and 12? 51204 Calculate the lowest common multiple of 8 and 486818. 1947272 What is the lowest common multiple of 6 and 44217? 88434 What is the smallest common multiple of 105 and 4095? 4095 What is the smallest common multiple of 20944 and 10? 104720 Calculate the common denominator of -31/26820 and -83/596. 26820 Calculate the least common multiple of 26313 and 30072. 210504 What is the common denominator of 62/12975 and -103/77850? 77850 Calculate the common denominator of -17/203 and -71/148915. 1042405 What is the smallest common multiple of 25 and 15015? 75075 Calculate the lowest common multiple of 2412 and 804. 2412 Calculate the smallest common multiple of 255 and 114. 9690 Calculate the common denominator of 17/2771415 and 59/450. 27714150 Calculate the common denominator of 77/306 and 103/42468. 2165868 Find the common denominator of 31/33770 and 81/50. 168850 What is the lowest common multiple of 230220 and 36? 230220 What is the common denominator of 35/162 and -81/2068? 167508 What is the common denominator of 83/360 and -187/58590? 234360 Calculate the common denominator of -13/371016 and -43/515300. 9275400 What is the common denominator of 11/4830 and -83/54740? 164220 Calculate the common denominator of -48/155965 and 57/40. 1247720 What is the least common multiple of 49284 and 4? 49284 What is the lowest common multiple of 166435 and 55? 1830785 Find the common denominator of 51/16 and -169/17520. 17520 What is the lowest common multiple of 19040 and 357? 57120 Calculate the common denominator of -83/6480 and -93/80. 6480 Find the common denominator of -64/984599 and 11/2237725. 24614975 Calculate the least common multiple of 412 and 1568. 161504 Calculate the least common multiple of 9 and 17523. 17523 Find the common denominator of 55/93936 and -91/8. 93936 Calculate the lowest common multiple of 156 and 834. 21684 What is the common denominator of 77/336816 and -49/74848? 673632 What is the smallest common multiple of 789525 and 430650? 4737150 Find the common denominator of -179/156240 and -125/62496. 312480 What is the common denominator of -9/7192 and -43/124? 7192 Calculate the least common multiple of 757760 and 757760. 757760 What is the common denominator of 25/1551 and 25/12408? 12408 Find the common denominator of -101/814 and -77/241536. 2656896 What is the common denominator of 89/774 and -43/8298? 356814 What is the lowest common multiple of 11528 and 143? 149864 Calculate the common denominator of -73/30912 and -119/528. 340032 Calculate the smallest common multiple of 3453 and 468. 538668 Calculate the common denominator of -81/3674 and -89/638608. 7024688 What is the common denominator of -43/2 and -15/12133? 24266 Find the common denominator of -93/4100 and 43/1640. 8200 What is the common denominator of 57/61490 and -57/12298? 61490 What is the lowest common multiple of 1
{ "pile_set_name": "DM Mathematics" }
-17.35 - -17.85. Let t = 0.1 + -0.2. What is the nearest to t in 2/19, -0.1, k? -0.1 Let z = -5 + 4.87. Let s = -178 - -178.87. Let o = s - z. Which is the nearest to 2? (a) -2/13 (b) o (c) -0.4 b Let v = 551 + -1654/3. What is the nearest to v in 3, 0, -0.1, 0.4? -0.1 Let d = -55 + 166/3. Which is the closest to d? (a) 2 (b) -2 (c) -0.08 c Let s = -158.1 - -158.3. Which is the nearest to s? (a) -1 (b) 1 (c) -2 (d) -1.94 b Let j = 1651.85 + -1652. Which is the closest to j? (a) 2 (b) 0.01 (c) 0.3 b Let g be ((-33)/44)/(-2 - 26/(-16)). Suppose -6 = 3*r - l, 4*r + 5*l + 8 = g*l. Which is the closest to r? (a) 0 (b) 6 (c) 4/9 a Let y = -2.64 + 2.94. Let l be (-8)/(-20) - 19/10. Which is the closest to -2/3? (a) y (b) 1 (c) l c Let n = -392/3 - -132. Let i be -1*(-1)/(-4) + 17/4. Let s be (i - 2)/10*5/3. What is the closest to -0.1 in n, s, -2? s Let n = 2.58 + 1.42. Which is the closest to 10? (a) -5 (b) n (c) 2 b Let p = -4.15 - -3.15. What is the closest to p in 5, -2/5, 1/4, 3/4? -2/5 Let h = 246.8 + -241.8. What is the nearest to -5 in -26, h, -5? -5 Let t = -4.887 + -0.113. What is the closest to 2 in t, 0.5, 2/5? 0.5 Suppose 4 = 8*q - 4. Let a be (q - 0)*(7 - (6 + 0)). What is the closest to a in 2/23, -2/17, -5? 2/23 Suppose 18*p = 22*p - 4. Let r = -13 + 19. What is the closest to p in r, -0.2, -0.3? -0.2 Let l be (-4 - (-8 + 3))*(0 - 0). What is the nearest to l in 4, 3, 2/5? 2/5 Let k be 9 - 1 - 342/54. Which is the nearest to 0.1? (a) -3 (b) -9 (c) -2 (d) k d Let y = -0.116 + -1.884. What is the closest to 2/7 in -1, -29, y? -1 Let g = -104 - -39. Which is the closest to 0? (a) g (b) 1 (c) 0.2 c Let m be (-1 - -2) + 52/(-48)*1. Let p = -38 + 23. Let h = 15.1 + p. Which is the closest to 0.3? (a) m (b) -1/5 (c) h c Let w = -0.35 + 0.65. Let o = 1 + 0. What is the nearest to 1 in 3, w, o? o Let r = 5.0847 - 0.0847. Which is the nearest to 4? (a) r (b) -0.3 (c) 2/5 a Let u = -6/25723 + 47613321/205784. Let p = -231 + u. What is the nearest to 5 in -2/5, -3, p? p Let j = -1.02 - -0.02. Let y = -313 - -314. What is the closest to j in -2, y, 0.1? -2 Let g = -4 + 2. Let i = 100063 - 898391/9. Let f = i - 242. What is the closest to -1 in 4, g, f? f Let h be ((-5)/(-10) + (-12)/(-8))/(-3). Let l = 143/370 - -1/74. Which is the closest to h? (a) 2/13 (b) 3/5 (c) l a Let o = 0.5 - 0.6. Let i be 2*1/(-21)*3/3. What is the nearest to -0.1 in o, -2/11, i? o Let v = -0.749 - -0.68. Let n = -0.931 + v. Which is the nearest to 0.1? (a) n (b) 0.2 (c) 0.5 b Let k = -0.15 + 18.15. Let r = -323 - -340. Let f = k - r. What is the nearest to f in 5, -2, 2? 2 Let m be (3/(-2))/(8/(-16)). What is the nearest to 0 in -2/5, -3/7, -11, m? -2/5 Let y = -2.8 + 3. Let w = 432.7 + -411. Let n = w - 22. What is the closest to y in 0.1, -3, n? 0.1 Let a(s) = -25*s + 177. Let l be a(7). What is the closest to 0 in 5, l, -4/7, -4? -4/7 Let n be (-12)/(-16) + -1 - 78/(-24). What is the nearest to -1/3 in 0.4, -0.5, 0.5, n? -0.5 Let v = -460 + 459.9. Let j be (2 - 9/15) + -2. What is the closest to 0.2 in v, 4/7, j? v Let k = 614 - 613. Which is the nearest to 2? (a) -1 (b) 4 (c) k c Let t(n) = n**3 + 4*n**2 + 2*n + 1. Let x = -29 - -26. Let j be t(x). Let m be (-4)/(j/1)*-1. Which is the closest to m? (a) 1 (b) 3 (c) -1/5 a Let t = 2305.7 + -2306. Which is the closest to -2.29? (a) -2/7 (b) -2/9 (c) t c Let i be ((-2)/(-12))/((-315)/420). Let s = 0 + 3. Which is the closest to i? (a) s (b) -2/5 (c) 0 b Let n = -0.9 + 0.4. Let g = -595.6 - -596. Let v = -67/96 + 1/32. Which is the nearest to v? (a) g (b) -3 (c) n c Let m be (-168)/(-180) - 2/(-5). Let f be 12/(-18)*66/4. Let l be 1/(-3) + f/12. What is the nearest to -0.1 in m, l, -2? l Let o = 0.613 + -0.523. Let w be 2 - (-24)/(-9) - 0. Which is the closest to o? (a) -3 (b) w (c) 1 b Let t = -0.9261 - 0.0149. Let d = t - 0.059. Which is the nearest to 9? (a) 2 (b) d (c) -0.5 a Let h = -82.9 - -83. Which is the closest to h? (a) -2 (b) -4 (c) -3/4 c Let u = 1276 - 3827/3. What is the nearest to u in 1/2, 11, 5, 0.1? 1/2 Let n = -4 + 2. Suppose 10 - 7 = -3*a. Suppose 3*v = 2*v - 4*d + 13, 2*d - 4 = 0. What is the nearest to 1 in a, n, v? a Let m = 23.138 + -0.138. Let n = -28 + m. What is the nearest to n in 5, -1, -7? -7 Let y = -277 - -281. What is the nearest to 0.1 in 10/9, y, 0.3? 0.3 Let q = 17/56 + -1/56. Which is the closest to -6? (a) q (b) -0.2 (c) 3 b Let g = -9.6 + 9.6. Let y = 11 - 5. What is the nearest to g in y, -1, -2/13? -2/13 Let h = -1.7 + -0.3. Let p = -2 + h. Let s = -7/41 + 62/123. What is the closest to 0 in 2/5, s, p? s Let y = 0.261 + 4.739. Let x = 1.3 - 0.3. Which is the closest to x? (a) -1 (b) 1/4 (c) y b Let o = -0.1 - -0.3. Let r = 0.6046 - 0.2046. What is the nearest to 0.1 in 15, r, o? o Let d be ((-28)/(-3))/((-3)/((-54)/(-2))). Let u = d + 88. What is the nearest to -3 in u, -4, 0.4? -4 Let d be 12/(-4) + 22/8. Let y = 0.58 + -0.88. What is the nearest to 0.1 in -0.4, y, d? d Let c = 1004.4 + -1001. What is the nearest to -1 in -0.1, c, 0, 1/3? -0.1 Let v = 1152.8 - 1153. Let m = -3 - -2.6. Let l = m + 0.6. Which is the nearest to -0.13? (a) l (b) 1 (c) v c Let g = -32 + 31.45. Let v = -0.25 - g. Which is the nearest to v? (a) 0.2 (b) -0.1 (c) 2 a Let o = -1254/7 - -179. What is the nearest to 2 in o, -0.1, -2.7? -0.1 Let q = -2.66 - -2.76. Let w = -11/2 + 5. Which is the closest to 0? (a) 2 (b) w (c) q c Let g be (0 + -3)*2/4. Let w be (-18 - (-195)/90) + 16. What is the closest to 5/3 in w, 2/9, g? 2/9 Let p = 66 - 65.899. Let k = p - 0.001. What is the nearest to k in -5, 2/27, -3/5? 2/27 Suppose -6*v + v = 0. Let x = 2.9895 + 0.0105. What is the closest to x in -5, -3, v? v Let k = -17 - -18. Suppose 0 = -2*l - 0*l - s + 9, -l + 3*s = 13. Let v = 73 + -69. What is the nearest to k in -4, v, l? l Let d be 8/(-8704)*8 - (-2)/16. Which is the nearest to 2/3? (a) 0 (b) d (c) -3 b Suppose 4 = -t + 5. Let m = -97 + 583/6. Let u = 7 + -5. Which is the closest to 2? (a) u (b) t (c) m a Let b = -8 - -4. Let q = 1.1 + -6.1. Let p be (3 - (-4 - -5)) + (-15)/9. What is the nearest to p in -0.1, q, b? -0.1 Let b = -39.909 - 0.091. Let a = b + 47. What is the closest to -0.1 in -1, a, 2? -1 Let j(k) = -k**3 + 3*k**2 - 4*k + 2. Let a be j(2). Let g be -4*a/(-4) + 1. Let q be (-9)/16*(-4)/6. What is the nearest to g in -5, -3, q? q Let j be ((-70)/(-56))/(2/8). Suppose 3*w + 2*w - 35 = 0. Let k = w + -8. Which is the nearest to -1? (a) 2/9 (b) k (c) j b Let k = -0.1 + -0.1. Let q = 315 + -320. Let c be (-15)/42 - (-2)/4. What is the closest to c in k, 0.3, q? 0.3 Let a = -500 - -505. What is the closest to 1/4 in 4, a, 2, -0.06? -0.06 Let t = -0.03 - 0.06. Let n = -1.341 + 1.241. What is the nearest to -2 in n, t, -2? -2 Let v = -2.5 + 2.9. Suppose 3*u = 2*i + 21, 0 = -5*i - 0*u + u - 20. Which is the nearest to 0? (a) v (b) -2 (c) i a Let u = 23.8 + -6.8. Let f = 0.3 - 17.6. Let s = u + f. What is the closest to -2/7 in -3/5, s, 0? s Let x = -160 + 155. Let t be x/(-2)*(-4)/20. Let q be 8/(-6)*(-3)/10. What is the closest to -1 in q, 5, t? t Let p = 0.526 - -0.144. Let l = 0.57 - p. Let u be (4/(-8))/(1/10). Which is the closest to -1/2? (a) -2 (b) l (c) u b Let q be 1417/156 + -9 + (-106)/120. Which is the nearest to q? (a) 3/7 (b) -0.06 (c) 3 b Let l(v) = v**3 - 13*v**2 - 3*v + 36. Let p be l(13). Which is the nearest to 1? (a) p (b) -18 (c) -1.3 c Let u be 903/(-45)*4/658. Let k = -12/47 - u. Let h = 0.39 - 0.39. Which is the closest to h? (a) -4/3 (b) k (c) 0.5 b Let s = -604 - -607. Suppose m + 8 = -3*d, -15 = 3*m + 3*d - 3. Which is the nearest to m? (a) 0 (b) 0.1 (c) s a Let o(u) = 8*u**3 - u**2 + 1. Let y be o(1). Let j be (18/y - 2)/((-6)/(-8)). Which is the nearest to 1/13? (a) j (b) -3/7 (c) 3/8 a Let t be (136/340)/((-6)/(-5)). Which is the nearest to -2/3? (a) 24 (b) t (c) 2 (d) 1 b Let x = -0.9 - 0.1. Let h be ((-2)/(-8))/(5*30/75). Which is the nearest to x? (a) 1 (b) 0.1 (c) h b Suppose 16 + 44 = -4*g - 2*u, -3*u - 6 = 0. Let o be (-4)/g + (-6)/42. What is the closest to 0 in 0.1, -2/17, o? 0.1 Let s = -1/53 + 58/265. Let w = 89 + -150. Let o = -184/3 - w. What
{ "pile_set_name": "DM Mathematics" }
079926 -1382 * 0.01 -13.82 What is 0.1 times -0.40851? -0.040851 -1 * 428148 -428148 -46 * 0.0923 -4.2458 Work out 10919 * 0.14. 1528.66 -0.321 * 17878 -5738.838 Multiply 2 and -27853.9. -55707.8 -552 times 56.5 -31188 What is the product of -1754 and 0.2? -350.8 What is -3 times -37.01? 111.03 -0.6 * 527.1 -316.26 0.75 times -0.041 -0.03075 1.1 * 64780 71258 187 * 0.06645 12.42615 Product of -2 and -677. 1354 What is -0.08 times -332698? 26615.84 Calculate 4168.1*-0.3. -1250.43 What is 316.3 times 13? 4111.9 Multiply 784 and -3. -2352 55 * 12948 712140 Work out -12 * -0.2498. 2.9976 Product of -12610 and 0.008. -100.88 What is the product of 0.07 and 41294? 2890.58 Calculate -0.0269*-1093. 29.4017 2*33676 67352 0.4 times 2627.8 1051.12 What is the product of -24321.5 and -3? 72964.5 What is 3 times 0.291574? 0.874722 0.0207 times 1.565 0.0323955 -0.674368 times 4 -2.697472 Product of 22.9 and 2054. 47036.6 -0.15 times 129 -19.35 Work out -379 * 70. -26530 What is 0.02 times 0.3267? 0.006534 Multiply 0.00394 and -41.8. -0.164692 -1.62 * -2323 3763.26 -1.24*-853 1057.72 Multiply -2.749693 and 0. 0 Calculate 4*-1031216. -4124864 Calculate -704*104. -73216 What is the product of 0.01 and -3367? -33.67 -0.066 times 0.021 -0.001386 Product of 0.0649 and -0.053. -0.0034397 Work out 1.1 * 523. 575.3 What is the product of -0.262 and 5335? -1397.77 What is -81 times -12688? 1027728 1 times 1504053 1504053 What is 340.95 times -0.1? -34.095 Work out 446662 * -1. -446662 What is the product of 8.95 and 0.122? 1.0919 What is the product of 488 and -107.8? -52606.4 Work out 0.04445 * -162.5. -7.223125 Product of -655 and -123. 80565 Calculate -179.66*-0.094. 16.88804 Product of 1.9 and 14.8. 28.12 Product of 0.043 and 0.0884. 0.0038012 1.9015*17 32.3255 Work out -0.4584 * -0.09. 0.041256 Calculate -68.5*0.216. -14.796 What is 88493 times 1.4? 123890.2 0.0676 times -2928 -197.9328 Work out -28298 * 0.043. -1216.814 -379 * -976 369904 -28.409 times 6 -170.454 What is -107071 times 0.05? -5353.55 0.02 * 686703 13734.06 0.4*89060 35624 -38 * -8.77 333.26 Calculate -0.05*-0.311. 0.01555 Product of -997 and 0.055. -54.835 Calculate 3493*-0.05. -174.65 Product of 1.537263 and 1. 1.537263 Multiply -31329 and 0. 0 Calculate 272814*-8. -2182512 1 * 0.31397 0.31397 Work out 0.2 * -509.09. -101.818 -198*-98 19404 Multiply 0.1 and -341182. -34118.2 -0.0124*107 -1.3268 Multiply -0.051 and -0.03. 0.00153 What is the product of 2878 and -93? -267654 What is 4 times -19.69? -78.76 Work out -0.1 * -0.5404. 0.05404 Product of -0.02 and -8.1689. 0.163378 -17991.708 times 0.3 -5397.5124 What is -2522 times 0.28? -706.16 Product of 65.4 and 198. 12949.2 What is 65 times -1453? -94445 Work out -60148 * 0.49. -29472.52 Calculate -2*13065. -26130 Calculate 39*-142.09. -5541.51 Calculate -256*-0.127. 32.512 402.29 times -10 -4022.9 Work out 32778 * 0.3. 9833.4 0 times 350323 0 Multiply 0 and -18348. 0 Calculate -1*-58001. 58001 1050 * -0.05444 -57.162 -51*-50.8 2590.8 -0.148 * -3981 589.188 Multiply 142.0184 and -3. -426.0552 What is the product of -2711 and -1? 2711 Work out -0.4 * 2.5156. -1.00624 What is 308651 times -0.03? -9259.53 Product of 1 and 68.67. 68.67 0.5 * 381 190.5 -0.14 times -0.32386 0.0453404 -10.5 times -1047 10993.5 Calculate -0.04*-501626. 20065.04 3 times 21986 65958 What is -0.04685 times -9.2? 0.43102 Calculate -3*0.01477. -0.04431 Work out -787 * -698. 549326 What is the product of 0.3 and -0.10171? -0.030513 Multiply -30275 and 11. -333025 0.04745 * -6 -0.2847 What is the product of 26779 and 2.6? 69625.4 What is 0.49222 times 0.06? 0.0295332 -0.1 times 2.52986 -0.252986 Work out -3 * -5.8471. 17.5413 Work out 795825 * 2. 1591650 Product of 110 and -0.096. -10.56 Multiply -1561864 and -5. 7809320 Calculate 0.3*641293. 192387.9 Calculate -0.1*-36220. 3622 What is the product of 6 and -3974? -23844 Product of -282.48 and 0.4. -112.992 What is -6310 times 0.11? -694.1 Product of 8 and -0.113. -0.904 0.018732 * -3 -0.056196 What is the product of 93029 and 0.2? 18605.8 1652 times -796 -1314992 Work out 62275 * 1. 62275 Calculate -0.1*165. -16.5 What is the product of 5 and 0.0478164? 0.239082 -7184*477 -3426768 -3586085*0.3 -1075825.5 0.453 * 0.197 0.089241 -7 times 54466 -381262 -1.4112 * -0.18 0.254016 What is the product of -2774 and 4? -11096 -3 * -1031.3 3093.9 -0.101*-71 7.171 Product of -207 and 5797. -1199979 Product of -36 and -0.66477. 23.93172 What is -1071 times -32? 34272 -6 * -13099 78594 What is 721 times -0.004? -2.884 Product of 634 and 5. 3170 0.9212 times -0.05 -0.04606 22*564 12408 -0.4 times 25883 -10353.2 Product of 0.09 and 1.007. 0.09063 Multiply -12077 and 208. -2512016 0.3 times -101.913 -30.5739 196.1*2.2 431.42 Multiply -13268 and -38. 504184 Calculate 1.01968*-0.4. -0.407872 Product of -535.2 and 2. -1070.4 87.356 * 1 87.356 2.6594 times 0.2 0.53188 3295.5 times 0.1 329.55 -35 times -13316 466060 Product of 0.02 and 31238. 624.76 Work out -7 * 0.0350619. -0.2454333 Work out -0.02 * -17.82. 0.3564 What is the product of -3187 and -0.03? 95.61 What is the product of -1.62 and 452? -732.24 What is the product of -1 and 6961.9? -6961.9 0.411382*0.2 0.0822764 Product of 253287 and 0.5. 126643.5 -41.39 * 6.4 -264.896 0.073 times 436 31.828 -0.1*108938 -10893.8 Multiply -133.2 and -544. 72460.8 10063*-30 -301890 Multiply 640 and 11.9. 7616 -0.4*-0.11808 0.047232 -0.0077 times 11 -0.0847 Multiply 124.1 and 2.6. 322.66 What is 804.5 times 0.0326? 26.2267 Multiply -34909 and 5. -174545 0.1*2.5037 0.25037 Calculate -76*-0.03119. 2.37044 What is the product of -34.2 and 1.44? -49.248 Work out 0.4 * 0.04107. 0.016428 88886 * 3 266658 Work out 0.2 * -2806. -561.2 What is 0.25 times -0.0736? -0.0184 -4*19452 -77808 -0.1326 times 6043 -801.3018 Multiply -517 and -16. 8272 50*-15.746 -787.3 Product of -0.04947 and -16. 0.79152 What is -0.3 times 0.97069? -0.291207 -32704 times -0.3 9811.2 213 times -19.45 -4142.85 Product of 62 and 858. 53196 Calculate 14.63*-11.8. -172.634 What is 163 times 6? 978 Calculate 0.1*-23.283. -2.3283 Multiply -0.07072 and 6. -0.42432 Multiply -0.173 and 0.0999. -0.0172827 -0.5 * -139628 69814 559.7 times -0.5 -279.85 What is the product of 3 and -0.0271669? -0.0815007 Calculate 234*849. 198666 Work out -558 * 503. -280674 Calculate 0.544433*-0.4. -0.2177732 Calculate -0.04*101.5. -4.06 Calculate 37.1*-108. -4006.8 Multiply -1270758 and -1. 1270758 Calculate 692.2*37. 25611.4 Product of -0.75 and -3939. 2954.25 What is 3625 times -0.3? -1087.5 Calculate -0.0536*345.2. -18.50272 -0.2*0.008619 -0.0017238 592 * 59 34928 -67 times -23950 1604650 Product of -295 and 2.9. -855.5 -5.7*0.000826 -0.0047082 0.837*-1.652 -1.382724 What is the product of 4 and 3605? 14420 Product of 220128 and -3. -660384 -0.5323 * 8 -4.2584 Work out 14.3 * -1.5. -21.45 What is the product of 177.6 and -0.18? -31.968 -3.59*-0.679 2.43761 Product of -99731 and 0.1. -9973.1 422180 times -1 -422180 Multiply -17106 and -0.3. 5131.8 -801 times -137 109737 845 * -85 -71825 Multiply 716 and -316. -226256 What is -0.2 times 1.343? -0.2686 35014 times 0.3 10504.2 -8.76419 times -5 43.82095 Multiply 0.0556802 and -2. -0.1113604 Work out -0.3 * 1.1438. -0.34314 Multiply 355.8 and -3. -1067.4 What is the product of -0.02611 and 80? -2.0888 -2992*-1254 3751968 Multiply -0.02688 and 187. -5.02656 -1 * -13820 13820 What is -3.17 times 7.2? -22.824 Multiply 11296371 and 0.3. 3388911.3 -3559 times -0.096 341.664 -11.82*-0.2 2.364 -474.4 * 0 0 -0.019 times 6.2492 -0.1187348 Multiply -6302 and -12. 75624 1255*0.33 414.15 -1.90463 * 0 0 What is 92.61 times 15? 1389.15 What is 0.3 times -125895? -37768.5 Work out -0.0636364 * -0.5. 0.0318182 Product of -0.12 and 150.6. -18.072 Multiply -19978 and 27. -539406 Work out 0 * -121.54. 0 Product of 12.82 and 0.221. 2.83322 Multiply 1557 and 0.089. 138.573 Product of -837.2 and -6. 5023.2 Calculate -34.42*-0.09. 3.0978 Work out 1.802 * 34. 61.268 Calculate -1.479*-33. 48.807 Product of 2.03 and -0.066. -0.13398 What is the product of 0.1 and -5812? -581.2 What is the product of -0.1 and 1552? -155.2 -0.490856 * -2 0.981712 Product of -1.9 and -0.3272. 0.62168 Multiply -0.09 and -7705. 693.45 Work out -2 * -174.1. 348.2
{ "pile_set_name": "DM Mathematics" }
i, 1, -0.1 in descending order. 1, -0.1, i Let r = -6 + 4. Let w be 0/2 - -2 - 5. Put 7, r, w in descending order. 7, r, w Suppose 12*r + 10 = 14*r. Sort r, 2, 0. 0, 2, r Let a(s) = s - 2. Let q be a(6). Suppose -q*h + h = 12. Sort h, -1, 1 in ascending order. h, -1, 1 Let f be -1 - (-1 + 1 + 0). Let m be f/(1/(-3)) - 12. Let z = m + 9. Put z, 3, 1 in decreasing order. 3, 1, z Let d = 21397/5 + -4262. Let u = d + -17. Put -1, u, -3/5 in descending order. u, -3/5, -1 Let m = 22 - 20. Put -1/2, 0.3, m in decreasing order. m, 0.3, -1/2 Let m = -14 - -18. Put -5, m, 6 in descending order. 6, m, -5 Let w(q) = q - 5. Let z be w(4). Let d be z + -2 - -1 - -5. Let u be 2*d/(-42)*-2. Put u, 1/3, 0.1 in ascending order. 0.1, u, 1/3 Suppose -2*b - 5 = -7*b. Put 3, -3, b in descending order. 3, b, -3 Let a = 3 - 1. Sort -4/5, a, -2 in ascending order. -2, -4/5, a Suppose 0 = -l - 2*l - 21. Let a(r) = r**2 + 8*r + 8. Let b be a(l). Sort 0, -4, b. -4, 0, b Let b be 5/1*1 - (-10 - -7). Sort b, 3, 5, -5. -5, 3, 5, b Let v = -52 - -48. Sort v, -3, 1, 17 in descending order. 17, 1, -3, v Let q = 1 - -1. Let z(c) = -2*c**3 - 5*c**2 + 2. Let v be z(-2). Put 4, q, v in decreasing order. 4, q, v Let k = 5.76 + 0.24. Put 0.1, -2/5, k in descending order. k, 0.1, -2/5 Suppose -5*b = -1 + 16. Let o = 6 - 4. Let z(j) = -j**2 - 6*j - 2. Let t be z(-6). Put b, t, o in descending order. o, t, b Let k be -4*(34/(-8) - -3). Let v = k + -5. Sort -4, 5, v in decreasing order. 5, v, -4 Let x be (-81)/7 + 48/84. Sort -2, x, 4 in descending order. 4, -2, x Let d be (-46)/10 - (-4)/(-10). Sort 2, -1, d. d, -1, 2 Let v be (13/2)/(2/4). Let m = v + 17. Suppose -5*j = b + b + m, -j + 11 = -3*b. Sort -2/17, j, -3/7 in ascending order. j, -3/7, -2/17 Let k be -1*(-5)/(10/(-8)). Sort 1, -0.4, 0.1, k. k, -0.4, 0.1, 1 Let x(u) = u**2 + 13*u + 8. Let k be x(-12). Put 16, k, 2 in descending order. 16, 2, k Let x = -9 + 12. Let g = -592/9 + 66. Sort x, g, -2/3 in descending order. x, g, -2/3 Let l(u) = u**2 - 2*u + 2. Let b be l(1). Put b, 10, 3, -3 in descending order. 10, 3, b, -3 Suppose 0 = g + 7 - 3. Let w = -5 - -10. Sort -2, w, g in increasing order. g, -2, w Let g be (-2)/(-6) - (-8)/3. Let z(l) = -l + 8. Let o be z(12). Sort o, g, -2 in decreasing order. g, -2, o Let v = -5 + 10. Sort -1, v, 1 in ascending order. -1, 1, v Let b = 17 - 18.6. Let a = b + -3.4. Put a, -2/11, 2/5 in decreasing order. 2/5, -2/11, a Let l = 147 - 155. Let y be (2 - 11/5)/(-1). Put l, -0.1, y in ascending order. l, -0.1, y Let y(g) = -g + 4. Suppose 0 = -11*z + 6*z + 30. Let t be y(z). Sort 4, 0, t in decreasing order. 4, 0, t Suppose -12*p = -11*p - 3. Sort 1/3, p, -0.3 in increasing order. -0.3, 1/3, p Let t = 0 + -0.1. Let k = -49 + 52. Sort t, k, -2/17. -2/17, t, k Suppose 13 - 1 = -4*i. Put -4, -15, i in ascending order. -15, -4, i Suppose -5*l + 5 = -0. Sort -2, l, -1, 5. -2, -1, l, 5 Let p be (-253)/(-111) - (5 + -2). Let j = p - -2/37. Sort j, -2/7, -3 in descending order. -2/7, j, -3 Let b(k) = k**2 - 7*k + 13. Let a be b(7). Suppose -a = 6*i + 5. Suppose -2*g + 11 = 5*c, 3*g = -4*c - 4 + 17. Put i, g, -2 in decreasing order. g, -2, i Suppose 115 = 4*f + 107. Put 28, 4, f in descending order. 28, 4, f Let c be (-2 - 32/(-14)) + (-170)/(-140). Put 0, 3, -5, c in descending order. 3, c, 0, -5 Let p(g) = g**3 + 4*g**2 + 4*g + 4. Let o be p(-3). Let y be 1/4 + (0 - o). Let v(z) = z**2 + 5*z - 3. Let k be v(-6). Put 0.3, y, k in decreasing order. k, 0.3, y Suppose -5*d = -3*o + 21, -3*o = -d + 3*d. Suppose -2 = -5*q + 3. Put -2, o, q in increasing order. -2, q, o Let g(o) = 2*o + 5. Let c be g(-4). Let u = 19 + -13. Let p be (-9)/u*-2 + -3. Sort c, -1, p in descending order. p, -1, c Suppose 11 = 6*f - 7. Sort -3, 0, f, -4. -4, -3, 0, f Let l = -40.17 + 30.3. Let q = l - -0.37. Let k = q + 9. Sort -0.4, k, 1 in ascending order. k, -0.4, 1 Let b(x) = -x**3 - 9*x**2 + 9*x - 11. Let c be b(-10). Put 2, c, 0 in increasing order. c, 0, 2 Let s(d) = 2*d**2 + 7*d. Let l be s(-5). Suppose -2*a + l = 3*a. Put 0, 5, a in decreasing order. 5, a, 0 Suppose f - 3*f = 4. Let i = 46 - 45. Put 3, i, f in ascending order. f, i, 3 Let a be 2/(-5)*-2 + 0. Sort -1/3, 1/5, a in ascending order. -1/3, 1/5, a Let o = 0.7 + -0.2. Put 0.1, o, 5, 0 in increasing order. 0, 0.1, o, 5 Let m be -2 + (115/25 - 3). Put 0.4, m, 4 in decreasing order. 4, 0.4, m Let o be ((-4)/(-8)*0)/2. Sort -5, o, -1. -5, -1, o Let f = 487 - 256. Let c = f - 2543/11. Sort c, -2, 0 in ascending order. -2, c, 0 Let q = 132 + -128. Put 6, q, 2 in ascending order. 2, q, 6 Let n = -167 + 163. Put n, -2/11, -1, 0.3 in descending order. 0.3, -2/11, -1, n Let l = 7.9 - -2.1. Let i = l - 6. Let o be -2*-1*(-2)/26. Put i, -4, o in descending order. i, o, -4 Let d = 7 - 22/3. Sort d, -3/4, 0.5 in descending order. 0.5, d, -3/4 Let g = 45 - 47. Let q = -6 + 8. Put q, g, 1/2 in decreasing order. q, 1/2, g Suppose -15 = -8*c - 39. Put -4, c, 5 in descending order. 5, c, -4 Let i = 0 + 3. Suppose -z = -i*z. Let x = 467/9 - 52. Put x, z, -1/5 in ascending order. -1/5, x, z Let j = -54 + 56. Sort -7, -5, j. -7, -5, j Let w(z) = z**3 - 6*z**2 + 6*z - 2. Let k be w(5). Sort -4, k, -10, -3 in increasing order. -10, -4, -3, k Let s(q) = q**2 - 8*q - 5. Let p be s(8). Sort 0, 2, p in decreasing order. 2, 0, p Suppose -6*b + 14 = -4*b + 4*c, -7 = 4*b + c. Suppose -174 = 3*k - 180. Sort b, k, -1 in decreasing order. k, -1, b Let l(a) = 3*a**2 - 29*a + 13. Let q(d) = -d**2 + 10*d - 4. Let f(v) = 3*l(v) + 8*q(v). Let i be f(6). Put 5, i, -3 in descending order. 5, i, -3 Let w = -16 + 17. Let o(q) = q**3 + 4*q**2 - 6*q - 7. Let h be o(-5). Sort w, 2, h in decreasing order. 2, w, h Suppose 2*w = 1 + 1. Suppose -36 + 16 = -4*o. Sort w, -5, o in decreasing order. o, w, -5 Let p = -6 + 3. Let x = 38 + -23. Let w = x + -12. Put -2/11, p, w in descending order. w, -2/11, p Let x = 15 - 15.9. Let k = x - 0.1. Let y be ((-7)/(-42))/((-2)/(-4)). Sort y, -0.5, k in decreasing order. y, -0.5, k Let f = 2 + 0. Let r be ((-6)/(-4))/(f/4). Sort 1, r, -5 in decreasing order. r, 1, -5 Let q(l) = -3*l**2 - l. Let s be q(-1). Sort -5, 11, s. -5, s, 11 Let b = 0.3 + -0.3. Let d = -3 - -6. Let r = 0.14 - 0.64. Put b, r, d in decreasing order. d, b, r Let x = -52.3 - -57.3. Let b be 1/(-3) + (-2)/(-24). Put x, b, -2 in decreasing order. x, b, -2 Let u be 51/15 + (-8 - -4). Suppose 0*c + 2*c - 4*r = -6, 0 = 3*r. Sort u, c, 0.4 in decreasing order. 0.4, u, c Let o = -0.29 - -4.29. Put -1/15, 5, o in ascending order. -1/15, o, 5 Let m = 0.5 + -0.3. Let n = -7.3 - m. Let t = 7 + n. Sort 0.5, -0.3, t in ascending order. t, -0.3, 0.5 Suppose 70 = 19*f - 14*f. Let a be 40/(-35) + 2/f. Sort 6, -3, a in descending order. 6, a, -3 Let o be (-2)/1 - (-4 + 2). Let q be (-1*o/1)/(-1). Suppose 0 = 4*k + 1 - 17. Put q, k, -4 in descending order. k, q, -4 Suppose 5*n - 30 = -3*a, -3*a + n + 1 = -11. Put -3, 1, a in descending order. a, 1, -3 Let m = 0.2 - 0. Let u(p) = -p - 5. Let q be u(-5). Put q, 4/5, m in increasing order. q, m, 4/5 Let p = -0.4 - -0.32. Let g = p + 0.08. Let r = g - -2. Sort r, 0, 3/7 in increasing order. 0, 3/7, r Let l be (7 - 2)*4/(-5). Put l, 6, -2 in descending order. 6, -2, l Suppose 3*x + 4*m - 8 = 0, 4*x - 5*m = x - 37. Suppose 3*u + 4 = -2*p, -5*u - 4*p = -3*u + 8. Let r = x - u. Sort 1/4, r, -3 in descending order. 1/4, -3, r Let h be (10/6)/((-6)/(-18)). Put -5, 4, -4, h in increasing order. -5, -4, 4, h Suppose 0 = 4*z - 26 + 18. Sort z, 4, 1, -1 in ascending order. -1, 1, z, 4 Let q be 2/(-6)*(-6 - 9). Let u be 2 + q/((-180)/76). Let z = -11 + 15. Put -3/5, z, u in descending order. z, u, -3/5 Let z(p) = 2*p - 3. Let d be z(2). Let t(s) = 5*s**3 + 2*s**2 - 1. Let v be t(-1). Put v, d, 3 in increasing order. v, d, 3 Suppose 0*a + 9 = 3*a. Suppose -10 = -a*z - 5*u, 3*u = -z + 6 - 0. Let l(d) = d**3 + 5*d**2 - 6*d + 3. Let c be l(-6). Sort z, -5, c in ascending order. -5, z, c Let n be -5 + (-2)/((-6)/(-9)) - -4. Let y = -2 - -4. Sort n, y, 1 in ascending order. n, 1, y Suppose -2*v - 7 = -2*d - 1, -9 = -2*d + 5*v. Suppose -2*m - 11 = -w + d*m, 2*m = -4. Sort -1, 2, w in ascending order. -1, 2, w Let t = -28 - -30. Sort 4, t, -2, -8. -8, -2, t, 4 Let q = 61/2 - 31. Sort 3, q,
{ "pile_set_name": "DM Mathematics" }
term of 101666, 101895, 102114, 102317, 102498, 102651? -v**3 + v**2 + 233*v + 101433 What is the f'th term of -118710, -474838, -1068384, -1899348, -2967730, -4273530, -5816748? -118709*f**2 - f What is the r'th term of 109227, 218377, 327527? 109150*r + 77 What is the s'th term of 135668, 135740, 135812, 135884? 72*s + 135596 What is the r'th term of -28825, -28831, -28969, -29305, -29905, -30835, -32161? -11*r**3 + 71*r - 28885 What is the j'th term of 2263, 5170, 9133, 14152, 20227, 27358? 528*j**2 + 1323*j + 412 What is the j'th term of 10426, 9188, 7950, 6712, 5474? -1238*j + 11664 What is the m'th term of 3527, 4745, 5965, 7187, 8411, 9637, 10865? m**2 + 1215*m + 2311 What is the s'th term of -24847, -24808, -24723, -24580, -24367, -24072, -23683, -23188? 2*s**3 + 11*s**2 - 8*s - 24852 What is the u'th term of -846, -1738, -2752, -3888, -5146, -6526? -61*u**2 - 709*u - 76 What is the g'th term of -8345062, -16690026, -25034992, -33379960? -g**2 - 8344961*g - 100 What is the z'th term of 31755, 45067, 58379? 13312*z + 18443 What is the j'th term of -362, -154, 360, 1318, 2858, 5118, 8236? 23*j**3 + 15*j**2 + 2*j - 402 What is the f'th term of 63936, 127034, 189310, 250764, 311396, 371206? -411*f**2 + 64331*f + 16 What is the x'th term of -1751956, -3504104, -5256252? -1752148*x + 192 What is the q'th term of 34598436, 69196877, 103795318? 34598441*q - 5 What is the i'th term of 63494, 254039, 571638, 1016291, 1587998, 2286759, 3112574? 63527*i**2 - 36*i + 3 What is the z'th term of -7839, -31057, -69655, -123633, -192991, -277729, -377847? -7690*z**2 - 148*z - 1 What is the a'th term of 19204325, 19204326, 19204327, 19204328? a + 19204324 What is the w'th term of 233702, 467425, 701160, 934907, 1168666, 1402437? 6*w**2 + 233705*w - 9 What is the t'th term of -11, -687, -2703, -6785, -13659? -121*t**3 + 56*t**2 + 3*t + 51 What is the u'th term of -419255, -838619, -1257983, -1677347, -2096711, -2516075? -419364*u + 109 What is the u'th term of -13220, -13023, -12824, -12623, -12420? u**2 + 194*u - 13415 What is the k'th term of 2056501, 4113023, 6169545? 2056522*k - 21 What is the b'th term of 1379169549, 2758339099, 4137508647, 5516678193, 6895847737? -b**2 + 1379169553*b - 3 What is the q'th term of 20076, 21046, 22016? 970*q + 19106 What is the u'th term of -560082, -1120163, -1680244, -2240325, -2800406? -560081*u - 1 What is the d'th term of 3672730, 7345458, 11018174, 14690872, 18363546, 22036190, 25708798? -d**3 + 3672735*d - 4 What is the g'th term of 64295725, 128591452, 192887179, 257182906, 321478633, 385774360? 64295727*g - 2 What is the h'th term of 115168, 228685, 342198, 455707, 569212? -2*h**2 + 113523*h + 1647 What is the w'th term of 95, 160, 105, -70, -365? -60*w**2 + 245*w - 90 What is the h'th term of 48903, 49006, 49109, 49212? 103*h + 48800 What is the y'th term of -51373161, -102746328, -154119499, -205492674, -256865853, -308239036? -2*y**2 - 51373161*y + 2 What is the m'th term of -3334181, -6668335, -10002463, -13336565, -16670641? 13*m**2 - 3334193*m - 1 What is the y'th term of 12436338, 12436339, 12436340, 12436341, 12436342, 12436343? y + 12436337 What is the k'th term of -48662791, -97325581, -145988371, -194651161? -48662790*k - 1 What is the v'th term of -15852, -59778, -131778, -231852, -360000, -516222? -14037*v**2 - 1815*v What is the c'th term of 51458, 51487, 51518, 51551? c**2 + 26*c + 51431 What is the u'th term of -3652640, -7305303, -10957966, -14610629, -18263292? -3652663*u + 23 What is the x'th term of -18109936, -18109932, -18109918, -18109888, -18109836? x**3 - x**2 - 18109936 What is the h'th term of 140539, 140546, 140561, 140584, 140615, 140654? 4*h**2 - 5*h + 140540 What is the y'th term of -658862, -1317709, -1976518, -2635271, -3293950, -3952537, -4611014, -5269363? 3*y**3 + y**2 - 658871*y + 5 What is the p'th term of 158594, 317179, 475764, 634349, 792934? 158585*p + 9 What is the w'th term of 15973, 16771, 17579, 18403, 19249, 20123, 21031, 21979? w**3 - w**2 + 794*w + 15179 What is the p'th term of -34112, -68180, -102206, -136190, -170132, -204032, -237890? 21*p**2 - 34131*p - 2 What is the p'th term of 33248, 45994, 58740, 71486? 12746*p + 20502 What is the r'th term of 885074, 1770037, 2655000, 3539963, 4424926? 884963*r + 111 What is the t'th term of 1705, 9203, 22493, 41575, 66449? 2896*t**2 - 1190*t - 1 What is the w'th term of -520, -114, 808, 2246, 4200, 6670, 9656? 258*w**2 - 368*w - 410 What is the p'th term of 13230972, 26461943, 39692914, 52923885, 66154856, 79385827? 13230971*p + 1 What is the v'th term of 699961, 1399790, 2099619, 2799448? 699829*v + 132 What is the x'th term of 94, -765, -2186, -4169, -6714, -9821? -281*x**2 - 16*x + 391 What is the n'th term of 220829, 220817, 220807, 220799? n**2 - 15*n + 220843 What is the l'th term of 37850, 38361, 39212, 40403, 41934, 43805? 170*l**2 + l + 37679 What is the c'th term of -3455381, -3455383, -3455385, -3455387, -3455389? -2*c - 3455379 What is the i'th term of 5389, 5442, 5527, 5644? 16*i**2 + 5*i + 5368 What is the a'th term of -7416, -7411, -7388, -7347, -7288, -7211? 9*a**2 - 22*a - 7403 What is the v'th term of -4043, -16075, -36135, -64223? -4014*v**2 + 10*v - 39 What is the f'th term of 316856, 633722, 950598, 1267490, 1584404? f**3 - f**2 + 316862*f - 6 What is the j'th term of -843686033, -1687372057, -2531058067, -3374744057, -4218430021, -5062115953, -5905801847? j**3 + j**2 - 843686034*j - 1 What is the h'th term of -32422, -64604, -96786, -128968, -161150, -193332? -32182*h - 240 What is the o'th term of -9549, -9479, -9409? 70*o - 9619 What is the o'th term of 25511829, 51023660, 76535491, 102047322, 127559153? 25511831*o - 2 What is the w'th term of -872962, -873129, -873296, -873463? -167*w - 872795 What is the c'th term of 26552, 106206, 238960, 424808, 663744, 955762, 1300856? -c**3 + 26556*c**2 - 7*c + 4 What is the u'th term of 5976, 13296, 20616, 27936? 7320*u - 1344 What is the x'th term of 67574, 136318, 205062, 273806, 342550, 411294? 68744*x - 1170 What is the u'th term of 16176, 32601, 49028, 65457, 81888? u**2 + 16422*u - 247 What is the t'th term of 104320, 104304, 104278, 104242, 104196? -5*t**2 - t + 104326 What is the v'th term of 27441, 30087, 32731, 35373, 38013, 40651? -v**2 + 2649*v + 24793 What is the n'th term of -3645317, -3645322, -3645327, -3645332? -5*n - 3645312 What is the l'th term of -2050634, -2051119, -2051606, -2052095, -2052586, -2053079, -2053574? -l**2 - 482*l - 2050151 What is the r'th term of -381383, -1526061, -3433859, -6104777, -9538815? -381560*r**2 + 2*r + 175 What is the u'th term of -220221, -440428, -660635, -880842? -220207*u - 14 What is the v'th term of -117708, -117789, -117870? -81*v - 117627 What is the s'th term of 11, 126, 199, 212, 147, -14, -289, -696? -3*s**3 - 3*s**2 + 145*s - 128 What is the t'th term of -14048, -28028, -41996, -55946, -69872, -83768, -97628, -111446? t**3 - 13987*t - 62 What is the w'th term of 48674, 194760, 438228, 779072, 1217286, 1752864, 2385800, 3116088? -w**3 + 48697*w**2 + 2*w - 24 What is the k'th term of 12792736, 102342065, 345404526, 818736685, 1599095108? 12792761*k**3 + 2*k - 27 What is the q'th term of 185859, 1487034, 5018779, 11896374, 23235099, 40150234? 185880*q**3 + 5*q**2 - 26 What is the z'th term of 7796687, 15593378, 23390077, 31186784, 38983499, 46780222? 4*z**2 + 7796679*z + 4 What is the n'th term of 80633, 80660, 80697, 80744, 80801? 5*n**2 + 12*n + 80616 What is the u'th term of -4615, -5770, -6925, -8080, -9235, -10390? -1155*u - 3460 What is the x'th term of -13293, -53195, -119703, -212805, -332489? 2*x**3 - 13315*x**2 + 29*x - 9 What is the z'th term of 187199653, 187199655, 187199657, 187199659, 187199661? 2*z + 187199651 What is the s'th term of 1753, 7926, 18517, 33526, 52953, 76798? 2209*s**2 - 454*s - 2 What is the p'th term of 15994, 15917, 15856, 15817, 15806, 15829, 15892? p**3 + 2*p**2 - 90*p + 16081 What is the z'th term of -1283, -3077, -5373, -8171, -11471? -251*z**2 - 1041*z + 9 What is the r'th term of -127643, -510733, -1149231, -2043137, -3192451, -4597173? -127704*r**2 + 22*r + 39 What is the n'th term of -123227, -120943, -118659, -116375, -114091, -111807? 2284*n - 125
{ "pile_set_name": "DM Mathematics" }
s -1 + (6 - 4) - (1 - 1)? 1 Calculate 10 + -11 + 5 - 9. -5 What is 6 + -1 - (-3 + 0) - 9? -1 What is the value of -2 + (4 - (-2 - -3))? 1 Evaluate -8 + -3 + 10 + -3. -4 Calculate -9 - ((1 - 0) + 0 - 5). -5 What is the value of (-1 - (6 - (3 + 1))) + 8? 5 What is the value of 7 + 1 + (1 - 6)? 3 What is 4 + -1 + 14 + 7 + -14? 10 Calculate -5 + 7 + (-4 - -9) + -4. 3 Evaluate 1 + 0 + (3 - -5) - 4. 5 What is 0 + 3 + (-2 + -5 - 0)? -4 What is -1 + 2 - (0 + 0)? 1 What is the value of (8 - 1) + -10 + 1? -2 What is the value of 5 - (4 - 4) - 3? 2 Calculate 0 + -9 + (4 - (2 + -2)). -5 Evaluate (-2 - (4 + -10)) + -7. -3 -8 + (-4 - 2 - -6) -8 Evaluate -7 - (-2 + -7) - 4. -2 What is the value of -2 - -2 - (-4 - -10)? -6 -8 + (-4 - (0 - (9 - 1))) -4 What is the value of (-4 - (-11 - -3)) + -3 + 2? 3 Calculate (1 + 3 + 12 - 2) + -6. 8 Calculate (-7 - (-3 - 4)) + -2. -2 What is the value of -1 - 3 - (3 - 6 - 1)? 0 What is 2 - 10 - (2 + -5 - 0)? -5 What is 9 + -17 + 10 - (-3 - 1)? 6 Evaluate (6 + -4 - -2) + -1 + 1. 4 What is (0 - (4 + -4)) + 3? 3 What is 2 - (5 + -4 + -2 - 4)? 7 Calculate -1 + (4 - 1) + -6. -4 What is the value of 1 + 1 - (11 + (-14 - 2))? 7 What is the value of -6 - 0 - (12 - 14)? -4 Calculate 22 + 7 + -15 + -6. 8 Evaluate -3 - (-3 - (0 - 5)). -5 (2 - 2) + -21 + 17 -4 What is -1 - ((-4 - -5) + -5)? 3 Evaluate (4 - (1 + 10 + 0)) + 2. -5 What is the value of -7 - (1 + -4) - 4 - 1? -9 Evaluate -7 - 0 - (1 + (6 - 10)). -4 Calculate 2 + 1 - (4 + (-7 - -1)). 5 Calculate (2 - 2) + (9 - 6). 3 What is -1 + -5 - ((17 - 11) + -5)? -7 -7 + (3 - (-4 + 3)) - 0 -3 What is 4 + (-1 - -2) - (41 - 44)? 8 What is (-4 - (-1 - -3)) + 21 + -24? -9 What is 14 - 14 - (-2 + (-2 - 0))? 4 What is the value of 137 - 124 - (-1 - -10)? 4 What is the value of 23 - -11 - 14 - 9? 11 What is 0 + (-1 - 0) + (-16 - -20)? 3 What is the value of (-1 - (-5 + 2)) + 3 + -1? 4 3 + (1 - (7 + -2)) + 3 2 (-7 - (-12 + 8)) + -5 -8 Evaluate 14 + -7 + 0 + -7. 0 2 + -2 + 0 + -1 -1 What is -4 + (3 - 0) + (3 - 1)? 1 -8 + 4 + (9 - 4) 1 (-8 - -11) + -9 + 1 + 0 -5 What is -5 + (-1 - -2) + -14 + 18? 0 What is the value of 14 + (-8 - -1 - 11)? -4 -10 + (11 - 3) - -4 2 1 + -7 + -18 + (-6 - -22) -8 Evaluate 1 + 2 - 0 - (2 + -1). 2 Evaluate 0 - (0 + 7) - -7. 0 Calculate (-5 - -7) + -3 - -3. 2 What is 10 + -1 + -9 + 7? 7 -2 + 1 - (-4 - 2) 5 Calculate (-8 + -6 - -10) + 5 + -8. -7 What is (3 - 0) + 2 - 3? 2 What is (29 - 26) + (-1 + -7 - -2)? -3 What is 0 - (3 - 0) - (38 - 43)? 2 What is the value of (-6 - (-5 + 0)) + 0? -1 3 - ((1 - -2) + 2 + 1) -3 Evaluate -2 + -1 + 2 + 0 + 1. 0 What is 3 + 2 - (35 - 31)? 1 -5 - 1 - (-9 + 3) 0 Evaluate -4 + 0 + (6 - (-8 - -15)). -5 What is the value of -5 + (-11 - -17) + (-3 - -1)? -1 What is the value of 7 - (7 - -3) - (3 - 0)? -6 Evaluate (-1 + 14 - 11) + -10. -8 Evaluate (-14 - (-11 + 1)) + 8. 4 What is -4 - (-2 + (1 - 1) + 2)? -4 Evaluate 0 - -6 - (152 + -156). 10 What is the value of -3 - ((-9 - -2) + 4) - 1? -1 Calculate -6 - ((0 - 3) + 3). -6 What is 17 + -32 + 21 + 1 + 2? 9 What is -3 + (4 - 3) - -5? 3 Evaluate (-1 - (-1 - (-1 + -1))) + 1. -1 Calculate 15 + (-23 - -11) + -3 + 7. 7 Calculate -4 - -3 - -1 - 3 - 0. -3 -46 + 23 - -33 - (-1 - -3) 8 (4 - 12) + 7 + -2 -3 Evaluate 1 - -2 - (-40 - -51). -8 Calculate (-8 - -10) + (0 - -1). 3 (-2 - -4) + (-7 - (-2 - 8)) 5 What is the value of 3 + 4 - 2 - (-1 + 3)? 3 What is 4 + -3 - 2 - -6? 5 What is the value of 9 + -10 + -1 + -2 - -3? -1 1 + (-3 - (1 + -6) - 1) 2 Evaluate -1 + -4 - (-6 - -3). -2 What is (2 - 2) + -4 + (-9 - -13)? 0 What is (4 - 1) + (10 - 7)? 6 (1 - 2) + 0 + 6 - 2 3 Evaluate (-8 - 2) + 10 + -6 + 9. 3 What is -8 + 2 - ((5 - -1) + -7)? -5 What is the value of 3 + (4 + -6 - 0)? 1 Calculate 5 + -4 + -5 + -4 + 2. -6 What is the value of 0 + 0 + 5 - (6 + -1)? 0 Calculate 1 + 3 - (9 - 2 - -1). -4 Evaluate -4 + -3 + 3 - -4. 0 Evaluate -3 + -2 + 9 + (-3 - -1). 2 29 - 32 - (0 + (-1 - -2)) -4 Evaluate -2 - 2 - ((-3 - 1) + 3). -3 What is -5 + (-3 - 2) + 8 + 1? -1 Evaluate 6 - 4 - (8 - (-1 + 4)). -3 6 + (-10 - (5 - 5)) -4 What is the value of 17 + -14 + (-9 - -2)? -4 (3 - (10 + -5)) + 4 2 What is 6 + -13 - (-11 - 0)? 4 What is the value of 11 - (10 + -4 + 6)? -1 -1 + (4 - (5 + -3 - 1)) 2 What is the value of 2 - 8 - -10 - 0? 4 What is 7 + -5 + -4 + -5? -7 Evaluate (36 - 36) + 2 + 0 + -1. 1 What is 6 + (-3 - (-8 - -7))? 4 Calculate 6 - (3 + 5 + -4 + 3). -1 What is the value of (1 - (0 - -3)) + -102 + 105? 1 Evaluate 7 - (9 - (-1 + 8)). 5 What is the value of 0 - (5 - 3 - 1)? -1 Calculate 109 - 108 - (0 - (-1 - -2)). 2 Evaluate -3 - (-10 + 3 + 0). 4 0 - 0 - (3 - (5 - 2)) 0 4 + -5 + (-4 - (-2 + -2)) -1 -3 - (-1 + 1 - 5) 2 What is 2 + 3 + -12 + 10? 3 What is the value of (-1 - (6 + -4)) + 7? 4 (-7 - (7 + -9 - 6)) + 1 2 (1 - -5) + 8 + -12 + -7 -5 What is the value of 13 - ((-13 - -17) + 3)? 6 -5 + (7 + -2 - -4) 4 What is -7 + 11 + -3 + -4? -3 2 + 12 + (0 - 7) - 5 2 What is the value of (-2 - 5) + (28 - 20)? 1 Evaluate 0 + (8 - 14 - 0). -6 -7 + (0 - (-14 + 14)) -7 Calculate 0 - 0 - (-2 - 4 - -2). 4 What is the value of -6 + (5 - 2) - -4? 1 What is the value of -7 - (-12 - -3 - (3 - 3))? 2 Calculate 4 + (-2 - (-2 - 3)). 7 What is (-2 + 4 - 5) + 1? -2 Evaluate 31 + -36 - (1 - 10). 4 What is the value of 13 + 1 + (-5 - 9)? 0 Calculate 1 - (-1 + (3 - 2 - 2)). 3 What is 13 - (29 + -13) - -2? -1 What is the value of -2 + (9 - 4 - 9) - 0? -6 Calculate 4 + -1 - 0 - -1. 4 Calculate -39 + 41 + (3 - 2). 3 Calculate -7 + 11 + 1 + -3. 2 Evaluate -3 + (0 + 3 - (8 + -3)). -5 Evaluate 2 + -6 + 3 + -3 + 9. 5 6 + (3 - 2 - 5) 2 What is the value of (-1 - -1 - 7) + (7 - 1)? -1 Evaluate 0 - 1 - ((-25 - -18) + 8). -2 -2 - ((-1 - -1 - -3) + -3) -2 Evaluate -1 + 3 + (0 + 6 - 3). 5 What is -15 + 12 + -1 + 8 - 4? 0 What is the value of 11 - (0 - -5) - (1 - 0)? 5 Evaluate 2 - (-2 + (5 - 2)). 1 Evaluate 5 - (11 + (-5 - 2)) - -4. 5 What is (15 - 6) + -5 - (1 - -6)? -3 What is 2 + (1 - -2) + -2 + 0? 3 -1 + 6 + -3 + -8 + 7 1 5 - 7 - (-2 + 7 - 2) -5 What is the value of (14 + -9 - 7) + (4 - 1)? 1 -4 + 3 + -6 + 0 + 3 -4 What is 15 - (12 - (13 + -8))? 8 What is the value of 0 - (-5 + 0 + 0 + 5)? 0 Evaluate -2 + 4 + 11 + -14. -1 Evaluate -2 + (7 - (-1 - -6)). 0 Evaluate -1 - (2 - -4 - 5). -2 What is the value of -7 + (9 - (-7 - -11))? -2 What is the value of -17 - 8 - -7 - -8? -10 Evaluate 2 - (0 + -3 + 3). 2 Evaluate 5 + (-3 - -12) + -13. 1 Evaluate (2 - 2) + -4 + 8. 4 What is -4 - -1 - -8 - (1 + 4)? 0 What is -5 + 9 - (-2 - (2 - 8))? 0 What is the value of -11 - (-10 + -11 + 15)? -5 Calculate 7 - 1 - (15 - 9 - 0). 0 Evaluate (3 - (16 + -4)) + 2. -7 Calculate 5 + 1 + -5 + (-11 - -2). -8 Calculate -1 + 12 + (9 - 20) + 6. 6 What is (-4 - (-1 + 2)) + (-10 - -13)? -2 What is 6 - (12 - 5) - (0 + -3)? 2 What is 16 + -6 + -6 + 0 + 1? 5 Calculate 1 - 2 - (-20 - -13). 6 Evaluate -2 + 12 + -5 + 2. 7 What is 1 - -2 - (4 - 3)? 2 Calculate (-2 - 3) + (-5 - -7). -3 Evaluate 1 + -11 + -24 + 39. 5 1 - 0 - (16 + -11) - 5 -9 6 + 5 + -10 + (-5 - -1) -3 What is 0 - (-2 + 6) - -1? -3 5 + (-2 - 3) + 1 1 -3 + 13 + -3 + -3 4 Evaluate 2 + ((-1 - -4) + -12 - -3). -4 (-3 - 2) + -1 + 4 + 3 1 What is the value of -1 - (0 + 0 + -4 + 2)? 1 -3 + (-1 - (5 + -11)) + -11 -9 Calculate -7 + 4 + 3 + -4. -4 2 + (-7 - -5) + (5 - 5) 0 What is the value of -24 + 8 + 22 + (-3 - 0)? 3 Calculate -6 - (-7 + -1 + 15) - -8. -5 Evaluate 2 + (-5 + 2 - -2) + -7. -6 What is -12 + -8 + 9 + 9? -2 0 + (4 - 3) + -4 + 10 7 What is -2 - (0 + 2) - (36 + -42)? 2 What is 1 - (-2 - (-4 + 0 + 2))? 1 (-1 + (6 - 4) - -1) + -1 1 Evaluate -5 - -6 - (3 + 0). -2 What is -7 - (-8 - 2 - -1)? 2 Calculate 0 - -2 - ((0 - 0) + 1). 1 Evaluate -2 - -1 - 2 - (2 + -7). 2 Calculate -4 - (-3 - 1 - (-5 + 10)). 5 Calculate -17 - 0 - (2 - 10). -9 What is the value of -2 + 0 + (8 - 7)? -1 What is the value of (-6 - 0) + (12 - 3) + -12? -9 Calculate -1 + -2 + 4 + (-2 - -2). 1 -1 - -11 - (-58 - -69) -1 What is -2 - (-2 + (2 + -9 - -3))? 4 What is 5 - 4 - (-5 + 4)? 2 -45 - -55 - (7 + -1) 4 What is the value of (-4 - -7) + -6 + 0? -3 What is the value of (-8 - 4 - -9) + -4? -7 What is the value of -9 + (1 - 5) + 8? -5 What is the value of -2 + (0 - 4 - (-3 - 4))? 1 What is the value of (4 - 0) + -4 + 0? 0 What is 11 - (8 + -1 + -3 + 2)? 5
{ "pile_set_name": "DM Mathematics" }
h*q**2 + i*q**4 + d*q and give i. 1 Express 39*a**2 - 10*a**2 + a - 216*a**2 - 4*a as y*a + b + h*a**2 and give y. -3 Rearrange -2*f + 0*f**3 + 12 + 9*f**3 - f**2 - 3*f**4 + 9 + 0*f**2 - 19 to the form j*f**2 + k*f**4 + z*f**3 + i*f + y and give y. 2 Rearrange (-2*c**3 + 3*c - 3*c)*(c + 1 - 1) + 19*c**4 + 0*c**2 - 53030*c**3 + 3*c**2 - 2 + 53051*c**3 to a*c + m*c**2 + h + y*c**3 + p*c**4 and give m. 3 Express -13 - 17 + 539*g**2 - 15 + 60 - 16 as j + v*g + f*g**2 and give j. -1 Express -2133 + 1064 - 209*g + 1070 in the form f + m*g and give f. 1 Express (1 + 2 - 1 + 1 - 3 + 0 - 4 + 1 + 4 + (1 - 2 + 2)*(-2 + 1 - 1))*(1 + 169493*k - 169409*k - 6) as v*k + h and give h. 5 Express (0*q**2 + 2*q**2 - 3*q**2)*(0 - 4 - 90*q + 4) in the form i*q**3 + g*q + o*q**2 + l and give i. 90 Rearrange (-7 + 3 + 6)*(-37*z - 61*z + 21*z) to c*z + n and give c. -154 Express y + y + 0*y + (49 + 5 - 2)*(-5*y + 2*y + 4*y - 19) as n + v*y and give n. -988 Rearrange (1 + 0 - 4 + 3 - 4 - 7 + (2 + 0 + 0)*(3 - 3 - 2))*(320 - 320 + 28*d) to b*d + r and give b. -420 Rearrange 52*p + 160 - 52*p - 5*p**2 + 3*p**2 to n + l*p + k*p**2 and give k. -2 Rearrange (2*p + 0*p - 94 + 54)*(-3 + 3 + 2) to the form k + n*p and give n. 4 Rearrange -6*t - 2*t**2 + 200 + 183 - 383 + 5*t**4 to h*t**2 + o + k*t + j*t**3 + c*t**4 and give h. -2 Rearrange -5*i**2 - 18*i**3 + 55*i**3 + 7*i**2 + 188*i**3 to the form o*i + s + c*i**2 + h*i**3 and give h. 225 Rearrange 0 + 0 - 2*b**2 + (2 - 4 + 4)*(0 - 2*b**2 + 153642*b - 153542*b + 1) to the form r*b + n + m*b**2 and give m. -6 Rearrange (215 - 215 + 51*v)*((1 - 2 + 3)*(-4*v + 5*v + 0*v) + 2*v - 2 + 2) to k + n*v + f*v**2 and give f. 204 Express -1 - 5*z**2 - 5*z**3 + 3*z**3 + 4*z**3 + 88015*z**4 - 87997*z**4 in the form g*z**3 + u*z + t*z**2 + k + r*z**4 and give g. 2 Express 14*u - 60*u - 13*u - 51*u in the form c*u + q and give c. -110 Express (5*h + 8*h - 12*h)*(13*h**2 - 9*h**2 - 10*h**2) + h - 5*h**3 + 8*h**3 + h in the form g*h**2 + a + u*h**3 + q*h and give u. -3 Rearrange 2 - i - 2 + (6 + 3 - 2)*((2 - i - 2)*(-2 + 0 + 1) - 5*i - 2*i - 2*i) to the form y*i + o and give y. -57 Rearrange (-535*a + 129*a - 864*a)*(1 - 2*a - 1) to the form z*a**2 + q + r*a and give z. 2540 Rearrange 75*w + 102*w - w**2 - 144*w + 393*w to the form o*w**2 + r*w + m and give o. -1 Express 2 - h**4 - 3*h**3 + 7 - 2*h - 11 + 33*h**2 + 3*h**3 as s*h**2 + m*h**4 + n + i*h + f*h**3 and give i. -2 Rearrange (-x + 0 + 0)*((-1 - 1 + 0)*(-x**2 - 2*x**2 + 7*x**2) + 7*x**2 + 11*x**2 - 7*x**2) to the form y + j*x**2 + n*x**3 + s*x and give n. -3 Rearrange -1 + 0 + 37*n - 120*n + 2 to i + c*n and give c. -83 Rearrange 2025*b - 4043*b + 2025*b - 126 to h*b + k and give k. -126 Express 324*s - s + 123*s + 160*s in the form w + o*s and give o. 606 Express (-r + 0 + 0)*(-316 + 244 - 79 - 787) in the form u*r + x and give u. 938 Rearrange -119*i**2 + 399*i**2 + 517*i**2 + 62*i**2 + 374*i**2 to the form q*i + k + s*i**2 and give s. 1233 Rearrange 8*d**2 + 45 - 45 + 2*d to m*d**2 + k*d + j and give m. 8 Rearrange (-3 + 2 + 2)*(105*y + 175 - 175) to b + x*y and give x. 105 Rearrange 3*w**3 - w**3 + 55*w + 8*w - 4*w + 26*w**2 + 2 - 24*w**2 to a*w**2 + u*w**3 + s + q*w and give q. 59 Rearrange 2 - 2 + w + 2 - 2 + w + (4*w + 2*w + 5*w)*(-2 + 4 - 3) to the form v + u*w and give u. -9 Rearrange -5*i**4 + 7*i**4 + 9*i**3 - 3*i - 6*i**2 + 5*i**2 to z*i**2 + c*i**3 + t*i + g + s*i**4 and give g. 0 Rearrange (7*b + 4*b**2 - 7*b)*(-5*b + 2*b + 2*b)*(4 + 1 + 5) - 2*b**3 - 2*b**2 + 2*b**2 to x*b**2 + a + p*b**3 + w*b and give p. -42 Express -8*b**3 - 5*b**3 + 2*b**3 - 8*b**2 - b**3 - 4 in the form p*b**2 + u + a*b**3 + c*b and give p. -8 Rearrange ((0 + 0 + g)*(4 - 4 + 2) + 0 + 0 + g + 9*g - 7*g + 5*g)*(-6*g**2 + g**2 + 4*g**2) to the form b*g**3 + d*g**2 + v + m*g and give b. -10 Express 2 - 9*g**3 + 31*g - 30*g - 7 - 10 in the form t*g**3 + n*g**2 + r + w*g and give r. -15 Rearrange 177*b + 0*b**2 - b**2 - b**2 - 180*b**3 - 176*b to o*b**3 + j + d*b**2 + u*b and give o. -180 Express -60*g**4 - 21*g**4 + 8*g + 2*g**2 + g**3 + 24*g**4 in the form q + l*g**4 + x*g + s*g**3 + f*g**2 and give l. -57 Rearrange (-5*z - 9*z + z)*(13*z**2 + 5*z**2 + 2*z**2) to t*z**2 + x + u*z + i*z**3 and give i. -260 Express -7*k**3 - 5*k**3 + k**3 + (k + k - 4*k)*(-2*k + k + 0*k)*(-2 + 3 - 3*k + 0) in the form c + z*k**2 + l*k + r*k**3 and give z. 2 Rearrange 2*y**4 - 7*y - y**3 - 342*y**2 + 8*y + 351*y**2 to the form o*y**2 + b*y + w*y**3 + u + n*y**4 and give b. 1 Express (-3*u + 3*u + 45*u**2)*(4 - 4 + 3*u**2) + (0 - 3 - 1)*(u - u - u**4) as w*u**3 + k*u**4 + b + a*u + i*u**2 and give k. 139 Rearrange (-2*o + 2*o - o)*(2*o**3 - 4*o**3 + 3*o**3) + 68 - 80 + 2*o**4 + o**4 to s*o**2 + z*o**3 + p + i*o + a*o**4 and give a. 2 Express 445*r + 28 - 13 - 15 in the form y*r + d and give y. 445 Rearrange 55*h**3 - 1 + 40*h**2 - 30*h**2 - 17*h**2 to the form r*h**2 + z + i*h**3 + y*h and give i. 55 Express 3*i - 3*i**4 + 20*i**3 + 22 - 31*i**3 + 11*i**3 as r*i**2 + h*i + q*i**4 + d*i**3 + k and give h. 3 Express 106*y**4 + 5*y**3 + 3*y**2 + 1876 - 2*y - y**2 - 1876 as q*y**2 + b + v*y + o*y**4 + j*y**3 and give b. 0 Rearrange -165*f**2 - 98*f**2 - 111*f**2 - 24*f**2 + 102*f**2 to s*f**2 + i + o*f and give s. -296 Express g**3 - 315 + 195*g**4 - 5*g**3 + 4*g**3 + g**2 - 194*g**4 in the form p*g + q*g**3 + h*g**4 + s*g**2 + c and give s. 1 Express -5875 + 195*g + 5875 as l*g + v and give l. 195 Express (-68 + 68 - 24*x)*(-1 + 2 + 0)*(0*x + 4*x + 0*x) in the form t*x + c + w*x**2 and give c. 0 Express n**3 + 4*n + 62625*n**2 - 2*n - 62587*n**2 as w + c*n + z*n**2 + m*n**3 and give z. 38 Rearrange -3080*y**2 + 3082*y**2 - 3*y - y**3 - 9*y**4 + 3*y - 1 to p*y + w*y**4 + i*y**2 + s*y**3 + v and give w. -9 Express 569*s**2 - 1139*s**2 + s**3 + 3 + 3*s + 572*s**2 in the form q*s**3 + g*s + x*s**2 + z and give g. 3 Express -2*q**4 + 5*q**4 - q**4 + (3 - 3 + 5*q)*(-21*q**2 - 64*q**2 + 34*q**2 - 2*q**3) as s + i*q + c*q**2 + t*q**3 + u*q**4 and give t. -255 Rearrange 3*d**4 + d**4 - 6*d**4 + (5 - d**3 - 5)*(-3 + 2 - 9)*(-1 - 1 - 1)*(-16*d + 6*d + 2*d) to j*d + g + f*d**4 + i*d**3 + k*d**2 and give k. 0 Rearrange -s**3 + 9*s - 5*s**3 + 7*s**3 - 61*s to o*s**2 + h*s + b*s**3 + x and give b. 1 Express (-1 + 5 + 1 + 0)*(0 + 3 + 1)*(-272*a - 100*a + 86*a) in the form q*a + v and give q. -5720 Express (1 - 2 + 7 + (1 - 4 + 2)*(0 - 67 + 28))*(4*s - 2*s + s) as g*s + b and give g. 135 Rearrange (-4*h + 3*h + 2*h)*(-140*h - 62*h + 73*h - 111*h) to o*h + n + a*h**2 and give a. -240 Rearrange (-3*u + u - 2*u)*(4 - 18*u**2 - 4 + (-5*u**2 + 3*u**2 + 0*u**2)*(1 - 3 + 4)) to g*u + m*u**2 + r + c*u**3 and give c. 88 Rearrange (1 + 7 - 4)*(450 + 417*q**3 - 450) to the form z*q**3 + v*q**2 + j*q + p and give z. 1668 Express -2 - 147*i**3 + 74*i**3 + 70*i**3 - 31*i**2 as d + b*i**2 + y*i + p*i**3 and give b. -31 Rearrange -267326 + 267326 + 421*a to the form s + i*a and give i. 421 Rearrange 3*b**3 + 2211*b + 0*b**3 - 12*b**2 - 2210*b - b**4 to the form o + m*b**4 + r*b**3 + a*b**2 + z*b and give z. 1 Rearrange (4*c**2 + 0*c**2 - 3*c**2)*(4*c - 4*c + 4*c**2 + (4 - 2 + 3)*(8*c**2 + 6*c**2 - 7*c**2)) to the form q*c + f*c**4 + r*c**2 + n + s*c**3 and give f. 39 Express -32366*u - 1 - 56 - 6 + 32364*u as g + f*u and give g. -63 Express 3688 - 216*k - 3688 in the form r*k + i and give r. -216 Express (0 - 2 - 1)*(2 - 2 - 1)*(-4*d**2 + 3*d**2 - d**2) - 32 + 29*d**2 + 32 in the form p + y*d + s*d**2 and give s. 23 Express (117*p - 12*p**2 - 117*p)*(2*p + 2 - 2) - 4*p**3 + p**3 + 4*p**3 + (-p**3 - p**3 + 0*p**3)*(3 - 2 + 1) as k*p + f*p**3 + x + d*p**2 and give f. -27 Express -6*p**2 + 0*p + 3*p**2 + 4*p as g + s*p**2 + b*p and give s. -3 Express -2*i + 1 - 10*i**3 + 18*i**3 - 4*i**3 - 3 - i**4 as o*i**4 + w*i**2 + c*i**3 + d + p*i and give p. -2 Rearrange (-699*a**2 - 50*a**2 + 41*a**2)*(-a + 3*a + 0*a) to o*a**3 + b + v*a**2 + u*a and give u. 0 Express (1 - 2*i - i + 4*i)*(174 - 174 + 8*i) as t*i + g + v*i**2 and give t. 8 Express -26 + 0*z**2 - 2*z**2 + 3 as t*z + k + m*z**2 and give k. -23 Express -w + 2*w**2 + 3*w**2 - 3*w**3 - w - 21*w**2 + 7*w**2 + 1 in the form r*w**2 + t*w + v + z*w**3 and give t. -2 Express 5*q**3 + 0*q**3 - 4 - 11*q**4 + 1 - 4
{ "pile_set_name": "DM Mathematics" }
/3)/(-2)? -2/19 Evaluate (1/(54/90))/((-580)/24). -2/29 What is the value of (7*48/(-168))/(3*17)? -2/51 What is the value of ((-17)/816*18)/(6/(-16))? 1 Calculate (-15*4/8)/(540/1296). -18 Calculate (((-2304)/624)/24)/((-8)/(-26)). -1/2 What is -1*((24/8)/(-6))/((-2)/28)? -7 Evaluate ((-11)/(132/(-84)))/(1/4*2). 14 What is the value of -1*(11*(-1)/(-4))/((-9)/(-36))? -11 What is the value of (410/(-1435))/((-2)/(-35))? -5 (-1*(-6)/(-2))/(((-3672)/374)/36) 11 What is the value of (46/2)/(33*17/561)? 23 What is the value of (-54)/(-2)*14/378*20/22? 10/11 What is the value of ((-2)/3)/(-2)*900/60? 5 What is the value of (60/(-24))/(46/(-368))? 20 48/30*195/39 8 What is the value of (-6)/2*(-2342)/129981? 2/37 What is (-37)/(-37)*(-1)/(-12)*-4? -1/3 Evaluate -12*(-7)/672*12/5. 3/10 What is (7/98)/(5*6/60)*-2? -2/7 Calculate 16*(-15)/(-1200)*35. 7 (-2*(-2)/(-8))/(10*16/1280) -4 Calculate (-3)/(-2)*(1936/990)/22. 2/15 What is 357/(-340)*(-16)/(-56)? -3/10 (6/156)/(((-40)/4)/60) -3/13 What is 2/(-84)*3/2*(-14)/(-12)? -1/24 What is the value of (-10*2/(-80))/(5/(-256)*-4)? 16/5 (252/945)/(7/(-21)) -4/5 Calculate (4902/2262273)/((-1)/13). -2/71 (-49)/((-2401)/84)*((-21)/2)/(-3) 6 What is (69/3933)/(((-3)/3)/(-12))? 4/19 Calculate (-2361)/3148*((-48)/(-10))/(-3). 6/5 What is (1/(-2))/(((-612)/(-765))/((-14)/5))? 7/4 What is the value of (-8)/(-9)*(-22)/(19712/(-96))? 2/21 Calculate (70/(-36))/((8/72)/(7/(-105))). 7/6 What is the value of (-20)/36*-7*(-96)/16240? -2/87 Evaluate 4/(-55)*(474/2528)/(6/(-20)). 1/22 Evaluate 45/36*(-61)/122*(-12)/(-2). -15/4 Calculate 18/(-15)*9*70/189. -4 What is ((-4)/(-10))/((3630/(-2200))/((-6)/32))? 1/22 Evaluate 50/(-8)*2249/(-22490). 5/8 What is the value of (14942/(-3615))/(10/(-75))? 31 Evaluate (-1)/((-3)/(-1))*1512/(-18). 28 (-2)/((-35)/(-1225)*10) -7 What is 765/170*-2*3/9*7? -21 Calculate (6/(-54))/(50/100). -2/9 ((-10765)/51672)/(5*4/(-6)) 1/16 What is (15/(-5))/((-81)/(-297))? -11 ((-8)/(-3))/((-24)/(-18)) 2 Calculate ((-16)/56)/(18*4/56). -2/9 What is 40/(-180)*12/(15/5)? -8/9 What is 10/(-2760)*-6*(-4)/(16/(-4))? 1/46 What is (42/(-49))/(-6*5/350)? 10 What is (24/(-9))/(70/15)*350/(-25)? 8 What is the value of ((255/405)/(-17))/(-4*10/240)? 2/9 Evaluate ((171/(-114))/((-30)/16))/(20/55). 11/5 Evaluate ((5/(-19))/((-495)/198))/2. 1/19 -1*(-4)/85*(6300/56)/(-15) -6/17 What is the value of 5*(-12)/(-40)*((-16)/(-12))/(-1)? -2 6/((4/24)/(10/(-15))) -24 Calculate (-728)/(-21)*57/152. 13 (2737/10948)/((-11)/12) -3/11 (0/(7/21*15))/(12/(-12)) 0 Evaluate (-1*-4*1/6)/((-572)/234). -3/11 Evaluate ((-144)/(-8))/((135/(-10))/9). -12 What is ((42/10)/(20/50))/(69/(-92))? -14 Calculate ((-324)/360)/((-4)/40). 9 Calculate (-2)/(26/4563*27). -13 Evaluate (10/(-4))/(-1*315/(-140)). -10/9 Evaluate ((-3)/(-45))/(2/6)*20/52. 1/13 What is the value of (10/(-114))/((-495)/297)? 1/19 What is the value of (-1*3*(-1)/10)/((-930)/(-1240))? 2/5 Evaluate (390/(-455))/((-6)/(-168)*-4). 6 What is 4/56*(-748)/(-187)? 2/7 Calculate (-53)/(3180/(-864))*1*(-5)/(-3). 24 What is the value of (-48*(-14)/8064)/(4/6)? 1/8 What is 8*70/(-160)*-4? 14 (-15)/(-36)*(24/(-80))/((-5)/30) 3/4 Evaluate (-1480)/(-74)*4/10. 8 Calculate 3/(86/688*-16*2/(-4)). 3 What is the value of ((-2)/(-6))/(436/(-11772))? -9 Evaluate (6/(-9))/((-16)/(-12))*0. 0 Evaluate (-6)/(-4)*(-20)/80*(-80)/165. 2/11 What is -11*49/(-7)*4/((-140)/(-5))? 11 Evaluate (24/22)/(-3)*(-3850)/(-1925). -8/11 Evaluate 1/(-3)*(2/(-8))/(69/92). 1/9 Calculate (18/(-80)*(-252)/63)/(-1*3). -3/10 Calculate -2*(-11)/(-44)*-4. 2 Evaluate 4*2/40*(-15)/33. -1/11 Evaluate (145/(-1740)*(-28)/(-2))/(1/(-12)). 14 Calculate (47/(-658))/(((-2)/16)/(1/(-14))). -2/49 What is the value of (7/((-238)/51))/((-6)/(-76))? -19 Calculate ((-1)/(-1)*75/(-25))/(5/5). -3 Calculate (-3*(-2)/(-88))/((-441)/1176). 2/11 (((-5)/(-10))/1)/(35/(-10)) -1/7 Evaluate 5/(-1)*90/(-30375)*15. 2/9 Calculate ((-9)/(-81)*-3)/(4*7/(-504)). 6 17/(-3)*75/(-25) 17 Calculate 92/138*2*(-18)/336. -1/14 -2*(2/(-8))/(250/(-100)) -1/5 What is the value of (-4)/6*288/3648*1/(-1)? 1/19 (-47)/((-564)/(-288))*(-10)/(-20) -12 Evaluate ((-23)/((-1840)/(-120)))/3. -1/2 What is 175/(-20)*10/(-1050)*14? 7/6 Evaluate 1/((12/24)/1)*(-2)/26. -2/13 What is the value of (10/140)/((-45)/(-210)*8/6)? 1/4 (-95)/38*88/55 -4 What is (1/18*-3)/(5/990*-3)? 11 (-1)/(-2)*1492/9325 2/25 What is (-4)/12*(-6)/4*54/45? 3/5 What is (1*-5*30/375)/((-8)/(-160))? -8 Calculate (-21)/(-6)*(-4)/(-133). 2/19 Evaluate ((-7340)/(-13212)*(-3)/10)/(2/(-84)). 7 What is (21/((-168)/(-80)))/(-6)*-3? 5 (-1)/5*-1*5 1 Evaluate (8/(-22))/((-19089)/46662). 8/9 Evaluate (153/(-18))/(((-176)/32)/(-11)). -17 What is the value of ((-45)/(-30))/((-40)/240)? -9 What is the value of 3*(-11)/66*-1*14? 7 What is (-45)/(-198)*11*(-6)/(-45)? 1/3 13/((-624)/(-144))*(-8)/11 -24/11 What is -28*(-27)/(-108)*4? -28 (880/168)/(-11)*(-5)/(125/30) 4/7 Evaluate 3/(4/((72/42)/(12/56))). 6 What is 24/(-60)*(-20)/16*1/(-2)? -1/4 (63/(-6))/1*12/(-18) 7 -14*(-29)/(-11368)*16 -4/7 What is 15*(-58)/3045*-56? 16 Calculate ((-8400)/10500)/((-1)/(-15)). -12 What is (-964)/482*(-12)/10*5/1? 12 Evaluate ((60/21)/2)/(51/(-408)*16). -5/7 What is the value of (3*(-8)/10)/(-44*(-435)/63800)? -8 1115/223*((-24)/15)/2 -4 What is (9*(-30)/(-3375))/(3/30)? 4/5 Evaluate -2*(((-525)/(-7))/15)/(2/(-2)). 10 What is the value of (-648)/189*315/60? -18 Calculate -22*(-20)/(-330)*1*(-6)/104. 1/13 Evaluate 25/(11600/203)*12/14. 3/8 What is 7175/(-205)*(-3)/(-15)? -7 What is (-8)/(-322)*(490/28)/(-5)? -2/23 Calculate ((-43)/((-1290)/36))/((-33)/15). -6/11 What is 10120/(-22770)*(-2)/(-8)? -1/9 What is the value of -4*(-76)/95*-5? -16 Calculate (3/2)/((-647)/647*(-3)/(-28)). -14 Evaluate (((-275)/66)/25)/(9/((-540)/(-8))). -5/4 What is ((-4)/(-10))/(65/50*27/(-27))? -4/13 (-5)/10*(-23)/(1725/(-60)) -2/5 What is (40/(-180)*9)/(4/10)? -5 Calculate (-33)/11*1702/(-138). 37 What is -6*(792/(-4224))/(18/4)? 1/4 68*9/6*28/(-168)*-1 17 What is the value of (12/10)/((-1599)/34645)? -26 ((-18)/30)/(202/(-7070)) 21 Evaluate ((-7)/(-2))/((-10)/(-1080)*27). 14 Calculate ((-8)/12)/(17/((-1530)/(-160))). -3/8 Calculate ((-1239)/9912)/((-2)/240). 15 Evaluate 11*42/231*276/(-24). -23 Evaluate ((-210)/(-45))/(15/(-45)). -14 Calculate 2165/(-12124)*3/5. -3/28 Calculate (9/6)/((-335)/(-134)). 3/5 Calculate ((-78)/4)/((-231)/154). 13 (-2)/1*-7*(-1262)/10096 -7/4 Evaluate ((-4)/56*4)/((-20)/(-630)*6). -3/2 Calculate ((-20)/8*16/10)/(-3*1). 4/3 What is 98/(-84)*(-15)/5*2? 7 What is 5/14*(-147)/(-42)? 5/4 What is the value of (67/201)/((-3)/(-36))? 4 What is (-42)/4*((-2)/(-18))/(144/1728)? -14 ((-122)/1037)/(54/5049) -11 Evaluate (-1)/((9/108*3*-6)/2). 4/3 Calculate ((-680)/(-100))/((-2)/(-5)). 17 Evaluate ((-12)/(-104))/(594/(-429)). -1/12 What is (-3)/42*20*-14? 20 Evaluate (-55)/((-715)/(-39))*((-52)/(-6))/(-2). 13 What is (-60)/52*(-68)/170? 6/13 Evaluate (3/(-12))/(25/(-70)*-21). -1/30 What is the value of (-3)/(195/104*6)? -4/15 What is the value of ((-10)/(-40)*-2)/((6/(-6))/46)? 23 What is the value of (20/(-6))/((2226/126)/(-53))? 10 Calculate (12/40*-2)/((-8)/(-180)*-6). 9/4 What is ((20/6)/(-1))/((3096/(-54))/43)? 5/2 What is (21/(-18))/(40*15/2700)? -21/4 What is (-2*2/28)/((-333)/777)? 1/3 4/1*(-438)/1168 -3/2 What is (2/2)/(1742/(-64454))? -37 Calculate ((-2324)/747)/(8*(-1)/3). 7/6 What is 186*1*((-3)/(-5))/(1386/385)? 31 Calculate (16/54*6/8)/((-168)/(-108)). 1/7 What is (-4)/(-24)*12/(16/(-4))? -1/2 (-2)/3*(30/150)/((-4)/(-540)) -18 Evaluate (30/18)/((-1140)/23256). -34 Calculate 15/(((-320)/18)/32). -27 Evaluate (((-3)/(-6))/(35/21))/(2/4). 3/5 Evaluate ((-70)/(-490))/((-2)/((-56)/34)). 2/17 What is the value of (169/(-26))/((-23)/(-92))? -26 What is the value of 42/(-189)*(-108)/4? 6 What is -8*-9*(-50)/360? -10 What is ((-4256)/(-3040))/(2/30)? 21 Evaluate 3/13*12/(-18). -2/13 Evaluate 1211/692*(-16)/(-266). 2/19 Calculate ((735/(-6))/35)/14. -1/4 What is ((-12)/(-66))/((-17)/4488*-12)? 4 Calculate (-1)/(-26)*(-468)/(-72). 1/4 What is the value of ((-2)/3)/((-74)/(-111)*(-2)/(-28))? -14 Evaluate (21/(-105)*25/35)/(3/1). -1/21 What is the value of ((-23)/69)/(-4*5/1080*-1)? -18 (-2)/((6/(-15))/(2/(-10)))*9 -9 Evaluate -20*(75/(-45))/(-5)
{ "pile_set_name": "DM Mathematics" }
AM and 6:04 PM? 568 How many minutes are there between 1:46 PM and 7:03 PM? 317 What is 690 minutes before 5:01 PM? 5:31 AM How many minutes are there between 3:08 AM and 5:09 AM? 121 What is 300 minutes after 11:19 AM? 4:19 PM What is 386 minutes before 2:47 AM? 8:21 PM What is 289 minutes after 4:47 AM? 9:36 AM What is 142 minutes before 12:08 AM? 9:46 PM What is 120 minutes before 10:46 PM? 8:46 PM How many minutes are there between 6:36 PM and 2:23 AM? 467 What is 643 minutes before 9:40 PM? 10:57 AM How many minutes are there between 2:25 AM and 1:11 PM? 646 How many minutes are there between 4:24 AM and 3:21 PM? 657 What is 669 minutes before 7:02 AM? 7:53 PM What is 564 minutes before 9:12 AM? 11:48 PM How many minutes are there between 2:00 PM and 7:32 PM? 332 How many minutes are there between 8:48 PM and 9:30 PM? 42 What is 50 minutes before 8:24 PM? 7:34 PM What is 104 minutes after 7:59 PM? 9:43 PM How many minutes are there between 6:57 PM and 8:34 PM? 97 What is 493 minutes before 1:39 AM? 5:26 PM What is 592 minutes before 4:24 AM? 6:32 PM How many minutes are there between 12:36 PM and 11:22 PM? 646 How many minutes are there between 1:34 AM and 3:58 AM? 144 What is 367 minutes before 5:54 AM? 11:47 PM What is 246 minutes before 11:29 AM? 7:23 AM How many minutes are there between 1:52 AM and 3:09 AM? 77 What is 404 minutes after 11:00 AM? 5:44 PM How many minutes are there between 5:50 AM and 3:06 PM? 556 What is 672 minutes before 10:00 AM? 10:48 PM How many minutes are there between 3:57 PM and 11:45 PM? 468 What is 40 minutes after 6:45 PM? 7:25 PM What is 360 minutes after 9:38 PM? 3:38 AM What is 315 minutes before 3:44 PM? 10:29 AM What is 38 minutes after 10:25 PM? 11:03 PM What is 672 minutes after 6:41 PM? 5:53 AM What is 42 minutes after 7:13 PM? 7:55 PM What is 675 minutes after 10:35 PM? 9:50 AM How many minutes are there between 4:49 PM and 10:17 PM? 328 What is 690 minutes after 2:32 PM? 2:02 AM What is 144 minutes before 2:06 PM? 11:42 AM What is 89 minutes after 8:13 PM? 9:42 PM What is 488 minutes after 8:47 PM? 4:55 AM How many minutes are there between 6:57 AM and 5:33 PM? 636 What is 420 minutes after 1:50 AM? 8:50 AM What is 591 minutes before 2:18 PM? 4:27 AM What is 634 minutes before 9:35 AM? 11:01 PM How many minutes are there between 4:08 AM and 1:20 PM? 552 What is 430 minutes after 1:43 AM? 8:53 AM What is 492 minutes before 9:31 PM? 1:19 PM How many minutes are there between 6:35 PM and 11:56 PM? 321 How many minutes are there between 2:55 AM and 9:07 AM? 372 How many minutes are there between 5:48 AM and 6:27 AM? 39 What is 35 minutes after 11:24 PM? 11:59 PM How many minutes are there between 3:46 PM and 8:29 PM? 283 What is 719 minutes after 11:08 AM? 11:07 PM What is 664 minutes before 10:47 AM? 11:43 PM How many minutes are there between 6:26 PM and 1:38 AM? 432 What is 376 minutes before 12:10 PM? 5:54 AM What is 325 minutes after 4:42 AM? 10:07 AM What is 76 minutes before 12:44 PM? 11:28 AM How many minutes are there between 10:42 AM and 6:10 PM? 448 How many minutes are there between 5:19 PM and 4:21 AM? 662 How many minutes are there between 2:48 AM and 2:06 PM? 678 What is 283 minutes after 7:20 AM? 12:03 PM What is 508 minutes after 4:55 PM? 1:23 AM How many minutes are there between 4:46 PM and 9:11 PM? 265 What is 526 minutes before 6:57 PM? 10:11 AM How many minutes are there between 6:24 PM and 1:14 AM? 410 What is 401 minutes before 11:13 PM? 4:32 PM What is 609 minutes before 10:28 AM? 12:19 AM What is 318 minutes after 9:35 AM? 2:53 PM What is 586 minutes after 1:37 AM? 11:23 AM What is 420 minutes before 2:27 PM? 7:27 AM How many minutes are there between 5:32 AM and 2:38 PM? 546 How many minutes are there between 1:02 PM and 1:06 PM? 4 How many minutes are there between 8:45 AM and 3:16 PM? 391 How many minutes are there between 4:32 AM and 11:14 AM? 402 What is 710 minutes before 8:59 AM? 9:09 PM How many minutes are there between 9:06 PM and 5:28 AM? 502 What is 421 minutes before 6:51 PM? 11:50 AM How many minutes are there between 11:55 AM and 9:15 PM? 560 What is 170 minutes after 10:57 AM? 1:47 PM What is 467 minutes before 9:42 AM? 1:55 AM How many minutes are there between 5:02 PM and 8:16 PM? 194 What is 155 minutes after 5:06 PM? 7:41 PM How many minutes are there between 1:50 PM and 7:34 PM? 344 What is 49 minutes after 8:37 AM? 9:26 AM How many minutes are there between 9:44 PM and 1:35 AM? 231 How many minutes are there between 8:37 PM and 10:07 PM? 90 How many minutes are there between 6:45 PM and 6:16 AM? 691 What is 38 minutes after 10:08 PM? 10:46 PM How many minutes are there between 7:50 AM and 11:04 AM? 194 How many minutes are there between 1:56 PM and 1:40 AM? 704 How many minutes are there between 10:03 AM and 8:47 PM? 644 What is 98 minutes after 7:28 AM? 9:06 AM How many minutes are there between 1:31 PM and 1:56 PM? 25 What is 130 minutes after 5:59 PM? 8:09 PM How many minutes are there between 4:22 PM and 6:09 PM? 107 What is 480 minutes after 2:20 AM? 10:20 AM How many minutes are there between 10:58 AM and 11:09 AM? 11 How many minutes are there between 1:24 PM and 8:36 PM? 432 What is 421 minutes after 9:09 AM? 4:10 PM What is 141 minutes after 9:39 AM? 12:00 PM How many minutes are there between 8:32 PM and 10:16 PM? 104 How many minutes are there between 6:41 AM and 10:41 AM? 240 What is 628 minutes before 5:08 AM? 6:40 PM How many minutes are there between 11:53 AM and 11:18 PM? 685 How many minutes are there between 8:33 AM and 8:13 PM? 700 How many minutes are there between 7:11 AM and 10:42 AM? 211 How many minutes are there between 7:17 PM and 12:58 AM? 341 How many minutes are there between 6:46 PM and 7:30 PM? 44 How many minutes are there between 11:54 PM and 12:19 AM? 25 How many minutes are there between 8:33 PM and 7:55 AM? 682 How many minutes are there between 1:28 AM and 3:43 AM? 135 What is 644 minutes before 11:16 AM? 12:32 AM What is 583 minutes before 9:40 AM? 11:57 PM What is 454 minutes after 11:36 AM? 7:10 PM What is 568 minutes after 12:30 PM? 9:58 PM What is 97 minutes after 11:54 AM? 1:31 PM What is 304 minutes after 3:19 PM? 8:23 PM How many minutes are there between 5:14 PM and 9:20 PM? 246 What is 40 minutes after 4:09 AM? 4:49 AM What is 141 minutes after 9:27 AM? 11:48 AM How many minutes are there between 4:06 PM and 11:10 PM? 424 How many minutes are there between 9:56 PM and 8:03 AM? 607 What is 341 minutes after 2:56 AM? 8:37 AM How many minutes are there between 12:45 PM and 11:37 PM? 652 How many minutes are there between 9:58 PM and 3:51 AM? 353 How many minutes are there between 4:08 AM and 6:54 AM? 166 What is 52 minutes after 7:44 PM? 8:36 PM What is 710 minutes before 8:35 AM? 8:45 PM What is 207 minutes before 11:03 AM? 7:36 AM What is 135 minutes before 12:29 PM? 10:14 AM How many minutes are there between 1:46 PM and 11:04 PM? 558 What is 67 minutes after 6:02 AM? 7:09 AM What is 639 minutes after 11:41 AM? 10:20 PM How many minutes are there between 3:50 AM and 11:51 AM? 481 How many minutes are there between 2:37 PM and 10:48 PM? 491 What is 432 minutes after 11:31 PM? 6:43 AM How many minutes are there between 9:19 AM and 10:18 AM? 59 What is 132 minutes after 10:44 AM? 12:56 PM How many minutes are there between 11:53 AM and 11:32 PM? 699 What is 304 minutes after 5:32 AM? 10:36 AM What is 443 minutes before 5:58 AM? 10:35 PM How many minutes are there between 10:36 AM and 11:18 AM? 42 How many minutes are there between 10:58 AM and 7:57 PM? 539 What is 675 minutes after 6:33 PM? 5:48 AM How many minutes are there between 7:59 AM and 6:30 PM? 631 What is 11 minutes before 5:56 PM? 5:45 PM How many minutes are there between 2:22 PM and 9:20 PM? 418 How many minutes are there between 1:46 PM and 12:48 AM? 662 What is 265 minutes before 2:33 AM? 10:08 PM How many minutes are there between 10:39 AM and 10:07 PM? 688 How many minutes are there between 5:16 AM and 7:31 AM? 135 What is 612 minutes after 2:41 AM? 12:53 PM How many minutes are there between 3:58 AM and 10:38 AM? 400 What is 313 minutes after 2:00 PM? 7:13 PM What is 423 minutes after 8:44 PM? 3:47 AM How many minutes are there between 9
{ "pile_set_name": "DM Mathematics" }
100? 4600 Round -33015.5 to the nearest 10000. -30000 Round -0.00004935768 to seven dps. -0.0000494 Round 0.009139555 to 5 dps. 0.00914 What is 73.23531 rounded to 0 dps? 73 What is -0.0001212406 rounded to 7 decimal places? -0.0001212 What is -0.006962454 rounded to 6 decimal places? -0.006962 Round 2180400 to the nearest 100000. 2200000 Round -0.00004723 to 5 decimal places. -0.00005 Round -3558761.9 to the nearest one hundred thousand. -3600000 Round -100.96248 to zero decimal places. -101 Round -0.000052908 to six decimal places. -0.000053 What is -187393030 rounded to the nearest 100000? -187400000 Round -30.58412 to the nearest integer. -31 What is 0.0255237 rounded to four dps? 0.0255 What is -381182.7 rounded to the nearest ten thousand? -380000 Round -0.01373853 to three decimal places. -0.014 Round 0.00590051 to five decimal places. 0.0059 What is 0.001093487 rounded to four dps? 0.0011 What is -0.728456 rounded to 2 decimal places? -0.73 What is -25224 rounded to the nearest 10? -25220 Round -0.0001059489 to five decimal places. -0.00011 What is -0.000891439 rounded to 4 decimal places? -0.0009 What is -10953 rounded to the nearest 1000? -11000 What is -448.076 rounded to the nearest 10? -450 Round 2100.3789 to the nearest 10. 2100 What is -1.096018 rounded to 1 dp? -1.1 Round -208.909 to zero dps. -209 Round 7.3944902 to 1 decimal place. 7.4 What is -574.1986 rounded to the nearest 10? -570 Round -4218274 to the nearest 100000. -4200000 What is -0.1551313 rounded to three decimal places? -0.155 Round 2402.44 to the nearest 100. 2400 Round -5.67214 to 1 decimal place. -5.7 Round 188198210 to the nearest one million. 188000000 What is -4.860187 rounded to two decimal places? -4.86 Round 0.00001787381 to 6 decimal places. 0.000018 Round 2225.61 to the nearest ten. 2230 What is 676731.7 rounded to the nearest 100000? 700000 Round -3.0268 to one decimal place. -3 What is -25888.51 rounded to the nearest 1000? -26000 What is 0.000009646 rounded to 4 dps? 0 Round -534790300 to the nearest 1000000. -535000000 Round 117.80097 to zero decimal places. 118 What is 43218.17 rounded to the nearest 10000? 40000 Round 515.2663 to one dp. 515.3 Round 4322039.4 to the nearest 10000. 4320000 Round -1655114 to the nearest 10000. -1660000 What is -10493 rounded to the nearest 1000? -10000 What is -1663153 rounded to the nearest 1000? -1663000 Round -47674 to the nearest one thousand. -48000 What is -1154471000 rounded to the nearest 1000000? -1154000000 What is 12004.045 rounded to the nearest 100? 12000 What is 159.70574 rounded to one dp? 159.7 Round 19570040 to the nearest 1000000. 20000000 What is -11511.37 rounded to the nearest 1000? -12000 Round 8123.848 to the nearest one thousand. 8000 Round 891883.1 to the nearest ten thousand. 890000 Round -0.00001933726 to 5 decimal places. -0.00002 Round -0.0163233 to five dps. -0.01632 Round 1.771326 to one dp. 1.8 Round 0.001440487 to four dps. 0.0014 What is 52424.98 rounded to the nearest ten? 52420 What is -71547.3 rounded to the nearest 1000? -72000 Round 136075.4 to the nearest ten thousand. 140000 What is 0.0000293312 rounded to 7 dps? 0.0000293 What is 123.678 rounded to the nearest one hundred? 100 What is -711.199 rounded to the nearest 100? -700 What is 2.8503657 rounded to one decimal place? 2.9 Round -3349.5561 to the nearest 10. -3350 What is -173336.1 rounded to the nearest 1000? -173000 Round -1.004429 to 1 dp. -1 What is -0.001205232 rounded to five decimal places? -0.00121 What is -0.06115 rounded to 3 decimal places? -0.061 What is 22118.466 rounded to the nearest ten? 22120 Round 0.0111013 to three decimal places. 0.011 Round -187.2834 to 0 decimal places. -187 What is 20780.505 rounded to the nearest 100? 20800 Round -0.0001746491 to 5 dps. -0.00017 Round -4330.34 to the nearest one hundred. -4300 Round 0.000480802 to 6 decimal places. 0.000481 Round -463.7883 to 1 dp. -463.8 What is -1238.5437 rounded to the nearest 100? -1200 Round 98.4749 to the nearest 100. 100 What is -5382930 rounded to the nearest ten thousand? -5380000 Round -15876.71 to the nearest one hundred. -15900 What is 7746.5 rounded to the nearest one hundred? 7700 What is 11.355988 rounded to two dps? 11.36 What is 0.00536311 rounded to 5 decimal places? 0.00536 Round 37534.2 to the nearest 10000. 40000 Round 72665.1 to the nearest 100. 72700 What is -0.000001376 rounded to six dps? -0.000001 What is -0.10283742 rounded to three decimal places? -0.103 What is -275136000 rounded to the nearest one million? -275000000 Round 11620.2 to the nearest 10. 11620 What is 0.0004500373 rounded to five dps? 0.00045 What is 0.004063923 rounded to five dps? 0.00406 Round 0.00000867086 to seven decimal places. 0.0000087 What is -0.021246808 rounded to four decimal places? -0.0212 What is 123314.1 rounded to the nearest 1000? 123000 What is -1344400 rounded to the nearest ten thousand? -1340000 Round -0.0000039441359 to 7 decimal places. -0.0000039 What is 3053.05 rounded to 0 dps? 3053 What is -50519000 rounded to the nearest 1000000? -51000000 Round -0.00074634 to 4 dps. -0.0007 What is 0.0000273838 rounded to 5 decimal places? 0.00003 What is -1824136 rounded to the nearest ten thousand? -1820000 Round 1146077000 to the nearest one million. 1146000000 Round -0.00021354817 to five decimal places. -0.00021 What is 77144.1 rounded to the nearest one thousand? 77000 What is 0.59137807 rounded to 3 decimal places? 0.591 Round -13.12256 to two dps. -13.12 Round 89.60209 to the nearest ten. 90 Round -0.01017623 to three dps. -0.01 Round 1981.9839 to the nearest ten. 1980 Round 5192400 to the nearest one million. 5000000 Round -0.000014439431 to seven decimal places. -0.0000144 What is -91968831 rounded to the nearest one million? -92000000 Round 62.10805 to one decimal place. 62.1 What is -4554.793 rounded to the nearest 1000? -5000 Round -0.0012598787 to 4 decimal places. -0.0013 What is 11462.61 rounded to the nearest ten? 11460 What is 1059.494 rounded to the nearest ten? 1060 Round -0.26100218 to four dps. -0.261 Round 281.9558 to the nearest ten. 280 Round 5.582047 to two dps. 5.58 Round -0.2118698 to three decimal places. -0.212 What is -10.508895 rounded to 2 dps? -10.51 Round 0.005876959 to three decimal places. 0.006 What is 3.4429752 rounded to one decimal place? 3.4 What is 2330840 rounded to the nearest one million? 2000000 Round -0.001401872 to 3 decimal places. -0.001 What is -0.01699807 rounded to five decimal places? -0.017 What is -581737130 rounded to the nearest one hundred thousand? -581700000 What is 0.000312435 rounded to five decimal places? 0.00031 Round 0.00022341763 to five dps. 0.00022 What is 4442540 rounded to the nearest 10000? 4440000 What is -480.1302 rounded to the nearest one hundred? -500 What is 0.00003137076 rounded to 6 dps? 0.000031 What is 0.000915099 rounded to five dps? 0.00092 What is 30598.403 rounded to the nearest 10? 30600 What is -14147760 rounded to the nearest 10000? -14150000 What is 0.053016 rounded to two decimal places? 0.05 Round 927.798 to zero decimal places. 928 Round 697298.1 to the nearest 100000. 700000 Round 0.00004726168 to seven dps. 0.0000473 Round 0.104438 to three dps. 0.104 Round -0.0949244 to two dps. -0.09 What is 2.0849 rounded to zero dps? 2 Round 4544.55 to the nearest one thousand. 5000 What is 15794150 rounded to the nearest 100000? 15800000 What is -54940.13 rounded to the nearest one thousand? -55000 Round -9647000 to the nearest 10000. -9650000 Round 496520 to the nearest one hundred thousand. 500000 Round -0.002094087 to 6 dps. -0.002094 Round 0.00009692567 to six decimal places. 0.000097 Round 9.57653 to 0 dps. 10 Round -0.07368579 to two decimal places. -0.07 Round 1.6417126 to 1 dp. 1.6 Round 2591.8313 to the nearest one hundred. 2600 Round 0.023440186 to three dps. 0.023 Round 142.0581 to the nearest 10. 140 Round 648.513 to the nearest 100. 600 What is 0.0006483488 rounded to six dps? 0.000648 Round 0.0005289433 to five dps. 0.00053 What is 0.0013239936 rounded to seven decimal places? 0.001324 Round -0.00002102398 to seven decimal places. -0.000021 Round -0.0036711392 to six dps. -0.003671 Round -0.383673 to 1 decimal place. -0.4 Round -0.734505 to
{ "pile_set_name": "DM Mathematics" }
ond biggest value? (a) 2 (b) -4 (c) 9/2 a What is the third biggest value in 6, -0.2, 3? -0.2 Which is the fourth biggest value? (a) -4 (b) 0.05 (c) -2/7 (d) 0.4 a What is the second smallest value in -5, -2, -2/45, 8/11? -2 Which is the smallest value? (a) 3/2 (b) -6 (c) 0.4 b What is the biggest value in 5, 1, -1, 0.021? 5 Which is the third smallest value? (a) 0.09 (b) 0.1 (c) -0.7 b Which is the fifth smallest value? (a) -4 (b) 13/2 (c) -3 (d) -13 (e) -0.3 b What is the biggest value in -2/11, 0.5, -11? 0.5 What is the third smallest value in -7.1, 4, 20, -4, -1/7? -1/7 Which is the smallest value? (a) 0.1 (b) -3/5 (c) 83 (d) -1/3 (e) 3 b Which is the fifth smallest value? (a) -2 (b) -2/37 (c) -2/7 (d) -19 (e) -0.2 b What is the fourth biggest value in -0.25, 3, 0.2, 5, -2? -0.25 Which is the third smallest value? (a) -0.0338 (b) -1/3 (c) -3 a What is the second biggest value in -2/13, -5, 0.2, 7? 0.2 What is the second smallest value in 4/9, 1, -7, -0.06, -0.1? -0.1 What is the biggest value in 5/3, -0.5, 2, 5/2? 5/2 What is the fourth biggest value in -0.067, -5, 4, 1/2, -1/4? -1/4 What is the third biggest value in -50, 0, 0.4? -50 Which is the third smallest value? (a) -21/13 (b) 1/4 (c) -1/2 (d) -5 (e) -2 a Which is the fifth biggest value? (a) -3 (b) 0.2 (c) 17 (d) -9 (e) -0.4 d What is the smallest value in -0.2, 1/7, -0.03, -5? -5 Which is the third smallest value? (a) -37.1 (b) -2/3 (c) 1/2 c What is the third biggest value in -4, 0.05, -3? -4 Which is the smallest value? (a) -2/15 (b) -4/9 (c) 0.3152 b What is the smallest value in 0.3, -26, 7? -26 What is the fourth biggest value in -13, -2/5, 0.2, 0? -13 What is the second biggest value in 0, 3/7, 762? 3/7 Which is the biggest value? (a) 5/3 (b) -0.1 (c) -2/3 a What is the third smallest value in 4, 266, 0.4, -2/21? 4 Which is the biggest value? (a) -4.05 (b) 0.4 (c) 5 (d) -4 c What is the biggest value in -5, 196, 3, 1/4? 196 What is the second biggest value in 1/6, -11/13, -2/3? -2/3 What is the third biggest value in -1/56, 2, 0.1? -1/56 Which is the smallest value? (a) -2 (b) 7 (c) -1/4 (d) -7 d Which is the second biggest value? (a) 3/2 (b) 2 (c) -2 (d) 4 (e) 2/35 b Which is the third smallest value? (a) -5 (b) -0.4 (c) 52 c Which is the fifth smallest value? (a) -3 (b) 0.4 (c) 0.437 (d) 0.1 (e) 0 c Which is the smallest value? (a) 1/7 (b) -1 (c) 0.5 (d) 2/3 b What is the second biggest value in 0.05, -0.3, 10/3? 0.05 What is the second smallest value in -2, 0.1, 21? 0.1 What is the second smallest value in 79, 1/2, -1.1? 1/2 Which is the fifth biggest value? (a) -1/2 (b) -812 (c) 1 (d) -4/3 (e) -5 b Which is the second smallest value? (a) 38/3 (b) -0.01 (c) -5 b Which is the third biggest value? (a) 0.5 (b) -0.1 (c) -12 (d) 2/15 (e) -0.5 b What is the second biggest value in -6, 1/26, 3/7? 1/26 Which is the smallest value? (a) -0.08 (b) -3 (c) 0.3 (d) -0.1 b What is the fourth biggest value in 1/4, -4, -0.4, 0.5, -0.08? -0.4 Which is the biggest value? (a) 0.5 (b) 1 (c) 2/69 (d) -5 b What is the biggest value in 10, -0.4, 13? 13 Which is the second biggest value? (a) -3/4 (b) 12/19 (c) 1 b Which is the fourth biggest value? (a) 5 (b) -7/5 (c) -1/2 (d) 6 b What is the biggest value in 0.1, -17/4, 2? 2 Which is the smallest value? (a) 0.41 (b) -0.2 (c) -2/9 (d) 0.3 c Which is the third smallest value? (a) -4 (b) 0.2 (c) -3 b Which is the third smallest value? (a) -0.0012 (b) 0.4 (c) -3 b What is the third biggest value in 35, 0.1, -4, 1, -0.2? 0.1 Which is the third biggest value? (a) -6/5 (b) -0.06 (c) -3 (d) -0.07 a Which is the smallest value? (a) 4 (b) -4 (c) 1/6 (d) 0.4 (e) -0.6 b What is the second smallest value in -0.89, 0, -0.08, 0.4, 0.5? -0.08 Which is the third biggest value? (a) -2 (b) 0.3 (c) 1/6 a What is the smallest value in 3/5, 4, 27, -3/2, 9? -3/2 What is the third biggest value in 3, 6, -3, 408? 3 What is the third biggest value in -0.4, 2/11, -0.6? -0.6 Which is the second biggest value? (a) 1 (b) 2/7 (c) 2/5 (d) 0.066 c What is the second biggest value in 0.4, 3/5, -0.297? 0.4 Which is the second smallest value? (a) 19 (b) 2 (c) -1/3 (d) -3 c Which is the second smallest value? (a) 5/2 (b) -0.06 (c) 0.5 (d) -2 (e) 0.4 b Which is the third smallest value? (a) 3 (b) 0.4 (c) 1/5 (d) -4 (e) -98 c Which is the smallest value? (a) 3 (b) 0.04 (c) -5 (d) 4 c Which is the third smallest value? (a) 21 (b) -3 (c) 0.4 (d) -2 c What is the smallest value in 0, -2/9, -3/11, -1? -1 Which is the third biggest value? (a) 2.9 (b) -0.1 (c) -5 (d) 10 b What is the smallest value in 0.4, -5, 2, 2178? -5 What is the fifth smallest value in 3, 12, -9, 5, -2? 12 Which is the third smallest value? (a) 11 (b) -4 (c) 2/29 a Which is the second biggest value? (a) 0.08 (b) 36 (c) -3/5 (d) -6 a Which is the second biggest value? (a) 2/7 (b) 2 (c) -19 (d) 0.3 d What is the fifth biggest value in 0.3, -4, 1/4, 2, -5/6? -4 What is the smallest value in 5/2, -0.3, -0.5, -8? -8 Which is the second smallest value? (a) 1 (b) -0.01 (c) -0.13 b What is the third smallest value in -0.12, 0.04, 4? 4 Which is the biggest value? (a) 0.19 (b) -2/5 (c) 5 (d) 0.5 c What is the fourth biggest value in 1/30, 0, -0.05, 0.3? -0.05 Which is the smallest value? (a) -78 (b) -2 (c) 3 (d) -0.12 a What is the third biggest value in -14/5, -0.5, 1/5? -14/5 What is the third smallest value in 2, -2/3, 33, -3? 2 What is the second smallest value in 2/77, 52/3, 1? 1 What is the fourth smallest value in 2/9, -0.2, 3, -2, 2/79? 2/9 What is the second smallest value in 1.5, 2, -0.16? 1.5 What is the third smallest value in 4, 1/8, 3/4? 4 What is the third biggest value in -15.73, 5/3, 2, 5? 5/3 Which is the biggest value? (a) -3/8 (b) 6 (c) -3 b What is the fourth biggest value in 2/9, -0.2, -2/15, -27? -27 What is the third smallest value in -151, 2/11, 4, -0.1, -3? -0.1 What is the second smallest value in 4.9, -11, -0.2? -0.2 Which is the second smallest value? (a) -57 (b) -3 (c) 1/4 (d) 1/9 (e) 0.5 b Which is the third smallest value? (a) 0.3 (b) -1 (c) 0 (d) -3/4 (e) 0.04 c What is the fourth smallest value in 0.4, -0.4, -11, 4? 4 Which is the second biggest value? (a) 1/2 (b) 3 (c) -0.4 (d) 2 d What is the biggest value in 5, 0.5, 1, 3? 5 Which is the third biggest value? (a) 3/4 (b) 5 (c) -1/383 c Which is the third smallest value? (a) 8 (b) 4/7 (c) -27 (d) 4 d Which is the third biggest value? (a) 1 (b) -0.1 (c) -2 (d) -26.1 c Which is the biggest value? (a) 0.2 (b) 2/11 (c) -2/5 a What is the biggest value in 2, -4, -83.97? 2 What is the biggest value in 96, -0.5, -1? 96 What is the third smallest value in -9, -2/5, -4, 1? -2/5 What is the second biggest value in 1.63, 3, 0.1? 1.63 Which is the fifth biggest value? (a) -1 (b) 4 (c) -64 (d) 0.4 (e) 0 c Which is the fourth smallest value? (a) -68 (b) 3 (c) 0 (d) 0.1 b Which is the biggest value? (a) -2 (b) -92 (c) -1 c What is the third biggest value in 26, -51, 4? -51 Which is the second smallest value? (a) 1 (b) -40 (c) -32 c What is the fourth smallest value in 5, 0, -30, 4? 5 Which is the third biggest value? (a) -0.5 (b) 4 (c) 34 a What is the smallest value in -1.6, -0.3, -0.63, 2? -1.6 What is the biggest value in 511, 0.1, -2, 5? 511 What is the third smallest value in -1/2, 49, 5/4? 49 What is the biggest value in -5, 20/3, 2, 0.3? 20/3 What is the smallest value in -0.04, 3, 5, -46? -46 Which is the biggest value? (a) 0.08 (b) -1 (c) 0.4 (d) 1.1 d What is the fourth smallest value in -2/7, -5/2, -1, 13/5, 16? 13/5 Which is the third smallest value? (a) 4 (b) -0.1 (c) 5 (d) -32 a What is the smallest value in 2.99, 3, 2? 2 Which is the fourth biggest value? (a) 1 (b) 1/5 (c) -6/5 (d) 1/2 c What is the smallest value in -0.01, 2, -5, 0? -5 Which is the fourth smallest value? (a) 0 (b) -1/3 (c) 0.074 (d) -2 c Which is the fourth biggest value? (a) 6 (b) 5 (c) 4 (d) -1/2 (e) 7 c What is the second biggest value in -32.2, -3, 1? -3 What is the biggest value in 2/7, -0.2, -2, 4? 4 Which is the third small
{ "pile_set_name": "DM Mathematics" }
ivided by 4383. 1170 What is the remainder when 31853540 is divided by 29? 27 Calculate the remainder when 462467 is divided by 20106. 29 What is the remainder when 2291146 is divided by 7? 4 What is the remainder when 268288054 is divided by 73? 60 Calculate the remainder when 108136109 is divided by 312532. 37 What is the remainder when 11970 is divided by 8716? 3254 What is the remainder when 52419804 is divided by 6846? 6828 Calculate the remainder when 5347726 is divided by 411363. 7 What is the remainder when 541213 is divided by 403? 387 Calculate the remainder when 46978569 is divided by 4270774. 55 Calculate the remainder when 295789 is divided by 1070. 469 What is the remainder when 17705 is divided by 1203? 863 Calculate the remainder when 62209271 is divided by 29. 8 What is the remainder when 61701 is divided by 2031? 771 Calculate the remainder when 304749053 is divided by 76187262. 5 What is the remainder when 38279 is divided by 30855? 7424 Calculate the remainder when 53032596 is divided by 71. 69 What is the remainder when 1933616 is divided by 2180? 2136 What is the remainder when 148737 is divided by 2318? 385 Calculate the remainder when 3160489 is divided by 327. 34 What is the remainder when 2547859 is divided by 636962? 11 Calculate the remainder when 139702905 is divided by 735. 720 Calculate the remainder when 944226 is divided by 9257. 12 Calculate the remainder when 5607530 is divided by 2803746. 38 Calculate the remainder when 27199237 is divided by 121. 10 What is the remainder when 252647323 is divided by 51? 4 Calculate the remainder when 16914716 is divided by 801. 800 What is the remainder when 414998 is divided by 745? 33 Calculate the remainder when 4187118 is divided by 4109. 47 Calculate the remainder when 54125 is divided by 5214. 1985 Calculate the remainder when 175020 is divided by 723. 54 What is the remainder when 5186405 is divided by 2350? 2305 Calculate the remainder when 637255 is divided by 3834. 811 What is the remainder when 2186807 is divided by 344? 343 What is the remainder when 40078705 is divided by 3272? 3249 What is the remainder when 6896265 is divided by 75? 15 Calculate the remainder when 19922034 is divided by 40328. 2 Calculate the remainder when 139751089 is divided by 148. 17 Calculate the remainder when 1263590 is divided by 3652. 3650 Calculate the remainder when 106727498 is divided by 53363742. 14 What is the remainder when 33141088 is divided by 7? 1 What is the remainder when 212958 is divided by 869? 53 What is the remainder when 300698 is divided by 508? 470 Calculate the remainder when 37990 is divided by 931. 750 Calculate the remainder when 509240 is divided by 692. 620 Calculate the remainder when 40928513 is divided by 1266. 1265 Calculate the remainder when 5141496 is divided by 584. 544 What is the remainder when 490902 is divided by 525? 27 What is the remainder when 146909 is divided by 80? 29 What is the remainder when 930820 is divided by 149? 17 What is the remainder when 72684611 is divided by 132? 131 Calculate the remainder when 36453 is divided by 45. 3 What is the remainder when 253978657 is divided by 260? 257 Calculate the remainder when 2020385 is divided by 72. 65 Calculate the remainder when 6332093 is divided by 6331982. 111 What is the remainder when 26174 is divided by 1108? 690 What is the remainder when 185568 is divided by 37081? 163 What is the remainder when 11428976 is divided by 5714439? 98 Calculate the remainder when 8175 is divided by 1580. 275 Calculate the remainder when 19517304 is divided by 21. 9 What is the remainder when 2720694 is divided by 122? 94 Calculate the remainder when 373234558 is divided by 16. 14 Calculate the remainder when 5423701 is divided by 602626. 67 Calculate the remainder when 4456479 is divided by 41. 25 Calculate the remainder when 16092 is divided by 16080. 12 What is the remainder when 65534 is divided by 1150? 1134 Calculate the remainder when 8426945 is divided by 595. 555 What is the remainder when 63990 is divided by 12797? 5 Calculate the remainder when 8140775 is divided by 7503. 20 Calculate the remainder when 499074 is divided by 124695. 294 Calculate the remainder when 17001574 is divided by 770. 744 Calculate the remainder when 38524592 is divided by 98. 8 What is the remainder when 3214829 is divided by 232? 5 Calculate the remainder when 106193 is divided by 5173. 2733 What is the remainder when 2698115 is divided by 454? 447 What is the remainder when 764258 is divided by 254750? 8 Calculate the remainder when 389408 is divided by 389361. 47 Calculate the remainder when 1112760 is divided by 222533. 95 What is the remainder when 93019 is divided by 46403? 213 What is the remainder when 623769 is divided by 36668? 413 What is the remainder when 173938783 is divided by 23? 18 Calculate the remainder when 2184055 is divided by 435980. 4155 What is the remainder when 6678552 is divided by 6678536? 16 What is the remainder when 198131 is divided by 9895? 231 What is the remainder when 24948 is divided by 130? 118 What is the remainder when 43060973 is divided by 936108? 5 What is the remainder when 218884 is divided by 108445? 1994 What is the remainder when 43757 is divided by 4368? 77 Calculate the remainder when 64536 is divided by 6381. 726 What is the remainder when 17505397 is divided by 17? 4 What is the remainder when 4395743 is divided by 879139? 48 Calculate the remainder when 221518 is divided by 8515. 128 What is the remainder when 149499 is divided by 14937? 129 Calculate the remainder when 976540 is divided by 9039. 328 What is the remainder when 27879395 is divided by 1267244? 27 Calculate the remainder when 66695 is divided by 33124. 447 What is the remainder when 13964918 is divided by 195? 188 Calculate the remainder when 6773698 is divided by 1247. 1241 What is the remainder when 8189024 is divided by 1364831? 38 What is the remainder when 108557 is divided by 18068? 149 Calculate the remainder when 7571663 is divided by 8805. 8168 What is the remainder when 150035 is divided by 2464? 2195 What is the remainder when 90112742 is divided by 116? 114 What is the remainder when 476944 is divided by 476894? 50 Calculate the remainder when 89080367 is divided by 149. 121 Calculate the remainder when 104060 is divided by 6098. 394 What is the remainder when 116517 is divided by 5066? 5065 What is the remainder when 65140 is divided by 3967? 1668 Calculate the remainder when 1664744 is divided by 39. 29 Calculate the remainder when 94753184 is divided by 12925. 9 What is the remainder when 2845145 is divided by 474189? 11 What is the remainder when 7555969 is divided by 30? 19 What is the remainder when 100715 is divided by 1973? 92 What is the remainder when 147439 is divided by 9213? 31 Calculate the remainder when 20458995 is divided by 1076789. 4 What is the remainder when 474405 is divided by 33? 30 What is the remainder when 142221 is divided by 795? 711 Calculate the remainder when 2349350 is divided by 83. 35 Calculate the remainder when 419849 is divided by 91. 66 What is the remainder when 2408 is divided by 775? 83 What is the remainder when 107572 is divided by 342? 184 Calculate the remainder when 571779 is divided by 942. 927 Calculate the remainder when 104700 is divided by 34789. 333 Calculate the remainder when 36751 is divided by 171. 157 What is the remainder when 13247138 is divided by 11332? 30 Calculate the remainder when 3104094 is divided by 222. 90 What is the remainder when 19861 is divided by 18324? 1537 What is the remainder when 3358400 is divided by 124385? 5 Calculate the remainder when 45119721 is divided by 2272. 73 Calculate the remainder when 168440253 is divided by 211. 8 Calculate the remainder when 239553 is divided by 7216. 1425 Calculate the remainder when 88965 is divided by 1869. 1122 What is the remainder when 44892 is divided by 96? 60 Calculate the remainder when 2148 is divided by 891. 366 What is the remainder when 3710332 is divided by 38? 12 What is the remainder when 940361 is divided by 32426? 7 Calculate the remainder when 327204982 is divided by 23. 13 Calculate the remainder when 1282408 is divided by 18060. 148 What is the rema
{ "pile_set_name": "DM Mathematics" }
437 - 7157? 206260 In base 2, what is 111011001001011 + -1010000110110? 110001000010101 In base 14, what is 514c + -c2? 506a In base 7, what is 6065260506 - -2? 6065260511 In base 12, what is -1b73b0bb - -b? -1b73b0b0 In base 4, what is 2 + -13131111111? -13131111103 In base 8, what is -64053217 - -23? -64053174 In base 7, what is -1053524402 - 3? -1053524405 In base 16, what is -20 + -1e32c0? -1e32e0 In base 5, what is -20234032113 + 1? -20234032112 In base 8, what is 607402 - -23? 607425 In base 16, what is -460bd9 - -19? -460bc0 In base 6, what is 13221 - -541110? 554331 In base 6, what is -5503551 + 204? -5503343 In base 13, what is -cc + -133067? -133166 In base 15, what is 34c - 3951? -3604 In base 3, what is 112222011111212 - 0? 112222011111212 In base 14, what is 20970 + 12b? 20a9b In base 6, what is -2411 + 52053? 45242 In base 15, what is 0 + 42de39? 42de39 In base 7, what is 1341544 + 11116? 1352663 In base 4, what is -10132000123 + -31? -10132000220 In base 15, what is 2472971 + 2? 2472973 In base 4, what is 2033320310 + 313? 2033321223 In base 4, what is -10001321010 + -301? -10001321311 In base 10, what is -6321184 + -10? -6321194 In base 9, what is -40 - -14643083? 14643043 In base 6, what is 2524 - 10311454? -10304530 In base 7, what is 1352504 + 61? 1352565 In base 15, what is -1 - -1969d08? 1969d07 In base 7, what is -1 - 1026044106? -1026044110 In base 16, what is 4207 + 140? 4347 In base 10, what is 3357 - 441? 2916 In base 3, what is -10 - -12011200120101210? 12011200120101200 In base 10, what is -92713 + -78? -92791 In base 14, what is 2b7a934 - -5a? 2b7a990 In base 4, what is 33200331 + -2222? 33132103 In base 7, what is 21305 - 11462? 6513 In base 5, what is -2142403 - -4130? -2133223 In base 13, what is 296a - 437? 2533 In base 13, what is 144b - 87b9? -736b In base 14, what is -6b + 36945? 368b8 In base 3, what is 21021000200021122 - 0? 21021000200021122 In base 11, what is -748025 - -183? -747952 In base 16, what is 2 + 8e237? 8e239 In base 7, what is 10310466 - -10? 10310506 In base 12, what is -1b9544b + -13? -1b95462 In base 11, what is 11932 - 764? 11179 In base 13, what is -1837288 - 3? -183728b In base 12, what is -74b2 + 90? -7422 In base 12, what is 108 - 154712? -154606 In base 10, what is 808 + 180? 988 In base 13, what is -1601352 + 16? -1601339 In base 2, what is 101011011111111110 + 101110? 101011100000101100 In base 15, what is -367 + 1bb2? 184a In base 16, what is 6 - 69ea87? -69ea81 In base 5, what is -221130 - 41311? -312441 In base 7, what is -5 - -1362322251? 1362322243 In base 16, what is 1ecdf - 250? 1ea8f In base 13, what is 3 - 932b2c? -932b29 In base 13, what is 5 + -6426382? -642637a In base 14, what is 282 - 76d2? -7450 In base 8, what is -11137 + 5432? -3505 In base 13, what is -772806 + 107? -7726cc In base 4, what is 10 + -3202000311? -3202000301 In base 13, what is -a + c88b8? c88ab In base 9, what is 0 + 50277285? 50277285 In base 12, what is 2b80 + -b4? 2a88 In base 12, what is -23 - -263a3? 26380 In base 12, what is 13a4 + -142130? -140948 In base 8, what is -127501464 + 5? -127501457 In base 9, what is -72 - -24315? 24233 In base 8, what is -10000144 + 474? -7777450 In base 3, what is -11010 - 122111112112? -122111200122 In base 16, what is -207c0f - -39? -207bd6 In base 4, what is -303111010210 - -1? -303111010203 In base 7, what is -43 + 5211116? 5211043 In base 9, what is 4 - 4714260? -4714255 In base 6, what is 1421555352 - 2? 1421555350 In base 5, what is -110130 + 423022? 312342 In base 11, what is 5 - 3811? -3807 In base 10, what is -3 + 1386407? 1386404 In base 2, what is -100111100010110100000001 + -11? -100111100010110100000100 In base 2, what is -111000000011000000 - 100011110? -111000000111011110 In base 11, what is -6 + 6a289707? 6a289701 In base 11, what is 783a206 - 13? 783a1a3 In base 9, what is 11364400 + -3? 11364386 In base 13, what is 4 - -15611757? 1561175b In base 9, what is -3 + 6147600? 6147586 In base 16, what is -1a8 - -3d8a? 3be2 In base 15, what is 1 + -10d4a09? -10d4a08 In base 5, what is 4224011 - -403? 4224414 In base 2, what is -11 + 11110101000101101011110? 11110101000101101011011 In base 2, what is 1100100100011001111 - 1001101? 1100100100010000010 In base 15, what is -33eec + -472? -3446e In base 8, what is -2011 + 15705? 13674 In base 8, what is -1702536014 - 3? -1702536017 In base 10, what is 323766 + -6? 323760 In base 8, what is -52147716 + -4? -52147722 In base 10, what is -1516480 - -7? -1516473 In base 14, what is 32484b6b - -1? 32484b6c In base 8, what is -42 - 452331? -452373 In base 6, what is -44404 - -1522? -42442 In base 16, what is a01 - -a4b1? aeb2 In base 6, what is -23125115 + 500? -23124215 In base 9, what is 371 + 1051471? 1051852 In base 9, what is -812 + -44744? -45656 In base 10, what is 157557201 - -1? 157557202 In base 4, what is -100300 + -313100? -1020000 In base 2, what is -11111000011101110 - -101010? -11111000011000100 In base 9, what is -2744122852 + -4? -2744122856 In base 8, what is 32023537 + -23? 32023514 In base 15, what is -2 + -5ae27? -5ae29 In base 16, what is 4147a7e - -2? 4147a80 In base 8, what is 0 + 2170360707? 2170360707 In base 12, what is -15 + -110a447? -110a460 In base 7, what is -2511 - 36605? -42416 In base 4, what is 231 - 2122032322? -2122032031 In base 10, what is 8 - 9834321? -9834313 In base 13, what is 742c34b6 - -1? 742c34b7 In base 9, what is 367700 - -363? 368163 In base 14, what is 23385a - -9? 233865 In base 4, what is -232013011 - 122? -232013133 In base 13, what is -68a9a3aa + 5? -68a9a3a5 In base 2, what is 101 - -1010010000100101101101? 1010010000100101110010 In base 11, what is 2 + 1020258? 102025a In base 11, what is 4 + 7a381652? 7a381656 In base 4, what is 13320313311 + 2? 13320313313 In base 14, what is 530d + -91c? 47d1 In base 2, what is 111111 + -1010111000111001101110? -1010111000111000101111 In base 15, what is 384 - -db8e? e023 In base 9, what is 187130 - 3273? 183746 In base 9, what is -8 + -13664638? -13664647 In base 12, what is 37067 - -716? 37781 In base 16, what is -3a - 33b62? -33b9c In base 6, what is 404252520 + -103? 404252413 In base 14, what is 4b4 - d7? 3bb In base 2, what is 1011100 + 10111111110010110? 10111111111110010 In base 8, what is 32 - -32563712? 32563744 In base 10, what is 507 + -681503? -680996 In base 14, what is -3ba - -3350? 2d74 In base 9, what is -113 + 15522? 15408 In base 2, what is -10100110001110 - -10110010101? -10001111111001 In base 7, what is -2044353 + 354? -2043666 In base 16, what is 458 - 4d43? -48eb In base 9, what is -24 + -2543012? -2543036 In base 9, what is -115680222 - 1? -115680223 In base 15, what is -3a73e + 13e? -3a600 In base 12, what is -4 + -877503? -877507 In base 11, what is -96a - 491313? -492182 In base 7, what is 14054 - -166232? 213316 In base 4, what is -1312 - 1303302? -1311220 In base 4, what is -111031322311 + -1200? -111031330111 In base 12, what is 10b + 4a874? 4a983 In base 14, what is -1b0a9 - -b2? -1add7 In base 6, what is 1052435 + 312? 1053151 In base 10, what is 85611 - 86? 85525 In base 16, what is 148ad - 392? 1451b In base 5, what is 2 - 14234442401? -14234442344 In base 15, what is 6 + c674755? c67475b In base 11, what is 1690 + 3926a? 3a94a In base 7, what is -3221 - -3255? 34 In base 6, what is 120102510 + 1? 120102511 In base 6, what is -5 + -32452201050? -32452201055 In base 10, what is 271 + 116513? 116784 In base 6, what is -1455202202 + -3? -1455202205 In base 9, what is 148627 + -77? 148540 In base 3, what is 100 - -22010112102212? 22010112110012 In base 8, what is -102174701 - 2? -102174703 In base 7, what is 236 - -23652? 24221 In base 8, what is 25043 - -30330? 55373 In base 2, what is 1010110000110110001110100 - -10? 1010110000110110001110110 In base 11, what is 292207775 + 4? 292207779 In base 14, what is -329d115 + c? -329d107 In base 5, what is 4441013344 + -1? 4441013343 In base 12, what is -894348 + 8? -894340 In base 10, what is 2753 - 30904? -28151 In base 16, what is -1dd645 + -c? -1dd651 In base 4, what is -11 + 3030130130032? 3030130130021 In base 5, what is -13013033 - -21? -13013012 In base 11, what is 2 - -6a9707? 6a9709 In base 16, what is 5c + 3d913? 3d96f In base 5,
{ "pile_set_name": "DM Mathematics" }
u*w + 3*y, -6*y + 16 = w - 2*y. What is the units digit of w? 6 Suppose 3*w - 2*w + 2*p - 42 = 0, -4*p - 96 = -3*w. Suppose w = -2*g - 0*g. What is the units digit of 4/g*-6*3? 4 Suppose 96 = -2*u + 8*u. What is the units digit of u? 6 Let j(w) = -w**2 + 7*w - 8. Let r be j(6). What is the tens digit of ((-19)/r)/(2/4)? 1 Let l be ((8 - 0) + -3)/1. Suppose -d - 4 = -l. What is the units digit of d? 1 Suppose t = -3*t + 5*m - 64, 5*t + 109 = -m. Let d = t - -32. What is the tens digit of d? 1 Suppose 2*o = -5*r + 72, 3*r + r - 3*o - 53 = 0. What is the units digit of r? 4 Suppose -r = -4*s + 12, s + 0*r = 5*r - 16. Suppose 6*y - 18 = s*y. What is the units digit of y? 9 Let d(z) be the first derivative of -z**4/4 + z**3 + z**2 + 6. Let r(s) = s**2 + 4*s + 2. Let j be r(-4). What is the units digit of d(j)? 8 Let n(h) = 2*h**2 - h - 3. What is the tens digit of n(3)? 1 Suppose -7*d + 2*d = -40. Suppose 0 = s - 0*s - d. Suppose -a + s = -5. What is the units digit of a? 3 Let m(q) = 21*q + 3. Let a be m(5). Suppose -a = -4*z + z. Suppose -h + i = -4, -4*h + 2*i + z = 3*i. What is the units digit of h? 8 Let f(t) = -t**3 - 7*t**2 - 5*t - 1. What is the units digit of f(-7)? 4 Suppose -4*l - u - u + 126 = 0, -2*u - 2 = 0. Let w = l + -9. What is the tens digit of (-1 - w)*(-6)/8? 1 What is the units digit of (4/(-1))/(1/(-8))? 2 Suppose -3*h + 4*u + 18 = 2*h, u = 3. Let q be (7/3 + -3)*h. What is the units digit of (q - -3)/(-2)*14? 7 Suppose -5*z + 429 = -4*p, 6*p = 4*z + 4*p - 342. What is the units digit of z? 5 Let k(x) = 2*x**2 + 2*x. Suppose g = 4*g - 6. Let u be k(g). Suppose -4*f - 5*l + 34 = 0, 2*f + u = 5*l + 44. What is the units digit of f? 1 Suppose 4*f = 2*r + 22, 3*f - 2 + 3 = -2*r. What is the units digit of f? 3 Let z(k) = -228*k**3 - k**2 + 1. What is the units digit of z(-1)? 8 Let l(b) = -3*b + 2. Let a be l(-2). Suppose 0*m + 3 = m - p, 0 = 4*p + a. What is the units digit of m? 1 Let g(t) = t**3 + 2*t**2 - 4*t + 1. What is the hundreds digit of g(5)? 1 Suppose -56 = 2*x - 4*x. Let d = x + -18. What is the tens digit of d? 1 Suppose 43 = 5*g + p + 17, -2*p + 7 = g. Let s = g + -4. What is the units digit of s? 1 Let a be 32/(-6) + (-3)/(-9). Let l = a - -17. What is the tens digit of l? 1 Let m(f) = f**3 - 2*f**2 - 4. Let g be m(3). Suppose 0 = -g*c + 39 + 16. Let b = c - 4. What is the units digit of b? 7 Let s be 3 + (0 - (-4 + 2)). Suppose s*w + 26 = 96. What is the tens digit of w? 1 Suppose -7 + 9 = p. Suppose -188 = p*k - 6*k. What is the units digit of k? 7 Suppose 17 = 4*a - 3. Suppose 0 = 3*g - 0*y + 2*y - 20, -3*g - a*y + 23 = 0. What is the units digit of g? 6 Let f(z) = z**3 - 6*z**2 + 2*z + 6. Let w be ((-6)/(-9) - -1)*3. Let v be f(w). Let o = v + 21. What is the tens digit of o? 1 Let l(t) = -t**3 - 6*t**2 + 8*t + 7. Let a be l(-7). Suppose a = 3*r - 4*v - 40, 4*r = -v + 4*v + 51. Let y = r - 7. What is the units digit of y? 5 Let o = 46 - 25. Suppose 5*p - 106 = -o. What is the tens digit of p? 1 Let o(s) = s**3 - 6*s**2 + 5*s + 4. Let v be o(5). Suppose 139 = -0*h - 3*h + 2*k, v*k - 106 = 2*h. Let q = 62 + h. What is the units digit of q? 9 Let k(g) be the first derivative of -g**4/4 + 2*g**3 + 7*g**2/2 + 5*g + 1. Let t be (-3)/(6/4) - -9. What is the units digit of k(t)? 5 Let y(q) = 3*q + 5. Suppose g - 4 = -0. What is the tens digit of y(g)? 1 Let a(t) = 3*t**2 + 3*t - 1. Let i(v) = 7*v**2 + 6*v - 2. Let u(q) = 5*a(q) - 2*i(q). What is the tens digit of u(-7)? 2 Let i(f) = -f**2 - 9*f + 2. Let y be i(-9). Suppose 0 = 3*c + y*c - 125. What is the units digit of c? 5 What is the tens digit of -1 - -1 - 57*-1? 5 Let v = 5 - 2. Suppose 0 = x + v*x - 80. What is the units digit of x? 0 Let s = 16 - 13. Suppose -s*u + 50 = 2*u. What is the units digit of u? 0 Let f be -9 - 1 - 1*-2. Let i = 3 - f. What is the units digit of i? 1 Let m(n) = 8*n - 43. What is the units digit of m(19)? 9 Let q(y) = 2*y**2 + 4*y - 4. Let l(b) = -3*b**2 - 3*b + 4. Let a(n) = 3*l(n) + 4*q(n). Let v be a(6). Suppose -v*j + 4 = -j. What is the units digit of j? 4 Let y be ((-8)/16)/((-1)/(-16)). Let w = 21 + y. What is the units digit of w? 3 Let h be (-2)/3 - 1506/9. What is the tens digit of (h/36)/((-2)/6)? 1 Let p be 166/18 + 12/(-54). Suppose -p*d = -10*d + 39. What is the tens digit of d? 3 Let k(m) = -4*m + 1. Let n be k(1). What is the units digit of n - (3 - 25)/2? 8 Suppose 0 = -a - 4, 4*m - a - 18 = 3*m. What is the units digit of m? 4 Let v(r) = -2*r**2 - 17*r + 3. Let l be v(3). Let b be (-22)/(-6) + (-2)/3. What is the units digit of (1/(-2))/(b/l)? 1 Let y = 47 + -27. Let v = 29 - y. What is the units digit of v? 9 What is the units digit of (-32)/(-48) + (-164)/(-6)? 8 What is the tens digit of 3/6*-10*1332/(-30)? 2 Let o be 5*((-4)/(-5) - 0). Let a(g) = -2*g. Let n(b) = b. Let k(x) = -a(x) - n(x). What is the units digit of k(o)? 4 Let p = -203 - -285. Suppose 3*l = 2*r + 5*l + p, 2*r + 61 = 5*l. What is the tens digit of r/4*(3 - 5)? 1 Let v = 8 - 4. Suppose v*k + j = -4, 5*k + 2*j + 3 - 1 = 0. Let c = 3 + k. What is the units digit of c? 1 Suppose 3*p = -3*b, -3*b = -0*p - p + 8. Suppose -4*o + p + 18 = 0. Let q = o + 0. What is the units digit of q? 5 Let q(p) = p + 6. Let i be q(-6). Let o be (i - 1)/((-1)/4). Suppose 0 = o*v - 0*v - 2*y - 22, 60 = 5*v + 4*y. What is the units digit of v? 8 Let u = 5 + -2. Suppose 2*f + 3*s - 37 = 0, u*s + 69 - 22 = 4*f. What is the tens digit of f? 1 Let f be (-24)/(-9) + (-1)/(-3). Suppose -25 = -2*g - f*g. What is the units digit of g? 5 Suppose 0*t + 55 = -5*t. Let b = t - -25. What is the tens digit of b? 1 Suppose -3*h = -2*g + 7 + 89, 5*h = g - 34. Let v = g - 27. Suppose 0 = 5*k + 4*c - 29 - v, c = k - 4. What is the units digit of k? 8 Suppose -5*k - o = -7 + 16, 2*k + 5*o - 1 = 0. Let n be k/(-10) + 453/(-15). What is the units digit of 1 - -2 - n/6? 8 Suppose -5 = -0*w - w + b, 2*w = 5*b + 25. Suppose u + 4*u + 10 = w. Let n = 1 - u. What is the units digit of n? 3 Let o(k) = k - 2. Let i be o(-9). Let h = i + 24. Let d = 18 - h. What is the units digit of d? 5 Let c(d) = d**2 - 2*d - 5. Let y be c(5). Let s = y + -1. What is the units digit of s? 9 Let v(l) = -l**3 + 5*l**2 + 7*l - 2. Let s be v(6). Let f = 2 + s. Suppose f = 3*g - 0*r - 3*r, -3*g + 6 = 3*r. What is the units digit of g? 2 Let v = 7 - -2. What is the units digit of v? 9 Let h(q) = -q**2 - q + 2. Let o be h(-2). Suppose -a - a = o. What is the tens digit of (a + -2)*(-11)/2? 1 Let o(r) = -r + 12 - 8 + 12. What is the units digit of o(10)? 6 Let t = 2 + -3. Let y be 0 + 0 - t*1. Suppose -4*c = 5*i - 23, -2*i + y = -i + 2*c. What is the units digit of i? 7 Suppose 0 = 3*z - 5*g - 221, -155 - 121 = -4*z + 2*g. Suppose 0 = 4*r - 2*t - 106, 4*r - r - z = -t. What is the units digit of r? 4 Let m(r) = 8*r**2 - r + 1. What is the tens digit of m(-2)? 3 Suppose -3*u = -i - 4*u + 1, 37 = 5*i - 3*u. Suppose i*l = 47 + 113. What is the units digit of l? 2 Suppose -3*m + 38 = 3*p + p, 36 = 5*p - 2*m. What is the units digit of p? 8 Let u = 2 + 0. Let c be 111/4 + u/8. Suppose 2*p = -5*w - p + 32, -3*w - 4*p + c = 0. What is the units digit of w? 4 Let z = -1 + -4. Let k = 18 - z. Let o = k + -16. What is the units digit of o? 7 Let k be (-2)/(-7) - (-4)/(-14). Suppose -s + 12 = 3*a - a, s - 5*a + 23 = k. What is the units digit of s? 2 Let v(n) = 4*n + 4. Let k be v(-4). Let x = 28 + k. Suppose -t - t = -x. What is the units digit of t? 8 What is the units digit of 172/(-10)*15/(-6)? 3 Suppose -j - 3*y + y = -51, 5*y - 15 = 0. What is the tens digit of j? 4 Let d(c) = c**2 - 5*c - 4. Let m be d(6). What is the tens digit of ((-69)/m)/3*-2? 2 Let h = 103 - 61. What is the tens digit of h? 4 Suppose 0 = -0*h - h + 20. Suppose -h = 2*l - 6*l. Suppose 0 = -j + 2*j - d, 12 = -j + l*d. What is the units digit of j? 3 Let c be 10/(-5) - (-4 - 1). Suppose -k + c*k = -8. Let j(r) = -3*r - 5. What is the units digit of j(k)? 7 Let p(s) = 15*s**2 + s - 3. What is the units digit of p(-2)? 5 Let t = -32 + 70. What is the tens digit of t? 3 What is the units digit of (6 + 114)*(-9)/(-6)? 0 Suppose -7*w + 5*w = -64. Suppose 0 = l - 3*f - 18, 3*f = -5*l + 130 + w. What is the units digit of l? 0 Suppose -4*b - 2*k = -844, 0 = 2
{ "pile_set_name": "DM Mathematics" }
c*j(x) - 8*s(x). 11*x**3 Let l(w) = 2*w - 4. Let b(o) = -14*o + 15. Determine -3*b(k) - 15*l(k). 12*k + 15 Let a(v) = 7*v**2 + 33*v + 1. Let d(s) = 6*s**2 + 35*s + 1. Determine 5*a(j) - 6*d(j). -j**2 - 45*j - 1 Let d(x) = 75*x**2 - 8*x + 4. Let p(t) = -215*t**2 + 23*t - 11. Determine -17*d(a) - 6*p(a). 15*a**2 - 2*a - 2 Suppose -2*q = -g - 7, -4*g = -14*q + 16*q + 18. Let h(z) = z - 1. Let v(n) = -2*n**2 + 5. Determine g*h(r) - v(r). 2*r**2 - 5*r Let t(y) = -75*y + 7. Let u(r) = -149*r + 16. What is -7*t(x) + 3*u(x)? 78*x - 1 Let s(q) = q**3. Let i be 3*(-2 - (-3 + 0)). Let y be ((-4)/8)/(i/24). Let x be 3/y + 5/(-20). Let k(d) = 5*d**3 - 2*d**2. Calculate x*k(u) + 3*s(u). -2*u**3 + 2*u**2 Let m(f) = -7*f**3 + 835*f**2 - 15*f - 3. Let q(b) = 4*b**3 - 418*b**2 + 9*b + 2. What is -3*m(v) - 5*q(v)? v**3 - 415*v**2 - 1 Let n(r) = -274021*r**3 + 2552*r**2 + 2552*r + 5104. Let y(h) = 322*h**3 - 3*h**2 - 3*h - 6. Determine -3*n(l) - 2552*y(l). 319*l**3 Let z(u) = -4*u**2 - u. Let y(a) be the third derivative of 3*a**5/20 + a**4/8 + a**3/6 - 4*a**2 + 15. What is -2*y(q) - 5*z(q)? 2*q**2 - q - 2 Let k(j) = 3*j + 3 - 3 - 9*j**2 - 3. Let g(n) = 8*n + 53*n**2 - 2 - 58*n**2 - 6*n. Calculate 5*g(m) - 3*k(m). 2*m**2 + m - 1 Let i(r) = -15*r**2 + 10*r + 1. Let o(u) = 76*u**2 - 55*u - 6. Give -11*i(v) - 2*o(v). 13*v**2 + 1 Suppose 2*r + 5*a + 3 = -r, 0 = -r + 4*a - 18. Let n(h) = 4*h + 5. Let b(g) = 63*g - 56*g + 11 - 2. Give r*b(q) + 11*n(q). 2*q + 1 Let d(b) = 10*b**2 + b - 14. Let z(k) = -2*k**2 - 2*k**2 + 2*k**2 + 55 - 52. Give 2*d(m) + 11*z(m). -2*m**2 + 2*m + 5 Let m(y) = -y**2. Let t(v) = 7*v**2 + v - 2. Let h = 107 - 102. What is h*m(b) + t(b)? 2*b**2 + b - 2 Let t(s) = 12*s - 2083. Let d(u) = -5*u + 1041. Give -7*d(l) - 3*t(l). -l - 1038 Let n(j) = j. Let q(l) = -8*l - 1. Let c be q(1). Let u(d) be the second derivative of -2*d**3 + 3*d**2/2 - 2*d - 553. Determine c*n(o) - u(o). 3*o - 3 Let y(n) = 25*n + 3. Let a(l) = 75*l + 9. Calculate 2*a(u) - 7*y(u). -25*u - 3 Let n(k) = 3*k + 3. Let a be n(-7). Let r(o) = -10*o + 10. Let f = -10 - -21. Let t = -9 + f. Let y(i) = -i + 1. What is a*y(z) + t*r(z)? -2*z + 2 Let q(a) = -11*a**3 - 5*a**2 + 5*a + 58. Let b(y) = 5*y**3 + 2*y**2 - 2*y - 29. What is -5*b(f) - 2*q(f)? -3*f**3 + 29 Let h(g) be the first derivative of -g**4/4 + g**2/2 - 3*g + 2062. Let q(f) be the first derivative of -f + 1. Let d = -2 - -5. Give d*q(r) - h(r). r**3 - r Let y(c) = 3*c**2 + c. Let m(s) = 4*s**2 + s. Let o = -255 + 249. Calculate o*y(a) + 4*m(a). -2*a**2 - 2*a Suppose -7*x - 3 = -66. Let w(p) = p**2 - 5*p + 2. Let s(i) = 9*i**2 - 17*i + 13. Let f(b) = b**2 + b + 1. Let t(d) = 4*f(d) - s(d). Calculate x*w(z) + 2*t(z). -z**2 - 3*z Let z(x) = -x**3 + x**2 + x + 3. Let j(l) = -5*l**3 + 8*l**2 - 22*l + 9. What is j(m) - 3*z(m)? -2*m**3 + 5*m**2 - 25*m Let c(n) = -2*n**2 - 18. Let w(b) = 2. Let q(g) = c(g) + 8*w(g). Let m(h) = 3*h**2 + 3. Give 3*m(v) + 4*q(v). v**2 + 1 Let f(v) = -13*v**3 + 2*v**2 - 11*v - 5. Let b(x) = 12*x**3 - 4*x**2 + 14*x + 6. What is 2*b(a) + 3*f(a)? -15*a**3 - 2*a**2 - 5*a - 3 Let z(o) = -7*o**3 - 24*o**2 - 8*o - 5. Let a(i) = 4*i**3 + 13*i**2 + 4*i + 3. Give -11*a(p) - 6*z(p). -2*p**3 + p**2 + 4*p - 3 Let a(m) = 14*m**3 + 24*m**2 + 56*m - 24. Let i(l) = 5*l**3 + 8*l**2 + 19*l - 8. Let v(b) = -3*a(b) + 8*i(b). Let u(n) = -n**2 - n + 1. What is -8*u(x) + v(x)? -2*x**3 - 8*x Let f(s) = 327*s - 2. Let m(i) = -165*i + 1. What is 3*f(g) + 5*m(g)? 156*g - 1 Let d(n) = 22*n**3 - 14*n - 6. Let o(u) = 7*u**3 - 4*u - 2. Calculate -2*d(i) + 7*o(i). 5*i**3 - 2 Let r(y) = y**2 + 3*y - 52. Let m be r(6). Let o(l) = -4*l - 3. Let g(h) = -5*h - 2. Give m*o(c) - 3*g(c). 7*c Let y(p) = -10*p + 1. Let t(s) = 20*s - 1. Give -4*t(j) - 7*y(j). -10*j - 3 Suppose -t = -0*t + 4*o - 38, -o - 67 = -4*t. Let g be 3 + (-86)/t - 2/9. Let y(k) = 4*k - 7. Let l(a) = a - 2. What is g*y(w) + 7*l(w)? -w Let k(z) = 4*z + 3. Let j be (-2)/(-6) - (-5)/3. Let l(n) = 9*n + 13. Let o(p) = 2*p - 2. Let q(y) = l(y) + 2*o(y). Calculate j*q(t) - 7*k(t). -2*t - 3 Let b(t) = 5 - 2 - 4. Let i(g) = g**3 + g**2 - 5. Let j = -747 - -743. Give j*b(z) + i(z). z**3 + z**2 - 1 Let b(w) = 67*w**3 - 2*w**2 - w - 7. Let a(p) = -134*p**3 + 4*p**2 + p + 13. What is 3*a(s) + 5*b(s)? -67*s**3 + 2*s**2 - 2*s + 4 Let i(z) = 2*z**3 - 3*z**2 + 3*z + 3. Suppose 9*v - 10*v = 3. Let a(k) = -6*k**3 + 8*k**2 - 8*k - 8. What is v*a(u) - 8*i(u)? 2*u**3 Let g(h) = -11*h + 11. Let d(i) = 6*i - 6. What is -5*d(z) - 3*g(z)? 3*z - 3 Let r(p) = -4*p**2 + 2*p + 3. Let b(i) = 7*i**2 - 5*i - 7. Let w(a) = -3*b(a) - 7*r(a). Let m(c) = -4*c**2 - c. Calculate 10*m(g) + 6*w(g). 2*g**2 - 4*g Let a(o) = -o**3 + 1. Let t(q) = 226*q**3 - q**2 - 4. What is 4*a(y) + t(y)? 222*y**3 - y**2 Let b(g) = -6*g**3 - 349*g**2 - 10*g - 5. Let a(o) = 3*o**3 + 175*o**2 + 6*o + 3. What is -5*a(y) - 3*b(y)? 3*y**3 + 172*y**2 Let l(o) = -2*o**2 - o. Let c(x) = 11074*x**2 + 6328*x. Determine -c(h) - 6328*l(h). 1582*h**2 Let m(n) = n. Let c(i) = -13*i - 4. Let f(v) = -12 + 0 - 39*v + v. Let q(s) = 8*c(s) - 3*f(s). Determine -12*m(j) + q(j). -2*j + 4 Suppose -235 - 25 = -5*c. Let t = -47 + c. Let h(m) = 7*m**2 - 8*m - 4. Let z(x) = 6*x**2 - 7*x - 3. Calculate t*h(b) - 6*z(b). -b**2 + 2*b - 2 Let y(t) = 119*t**3 + 357*t**2. Let k(l) = -l**2. What is 714*k(n) + 2*y(n)? 238*n**3 Suppose 5*i + 5 + 5 = 0. Let r(l) = 2*l**2 - 1. Let k(z) = 195 - 379 + 183. What is i*k(y) + 2*r(y)? 4*y**2 Let f(r) = 124*r**2 + 5. Let k(s) = -495*s**2 - 21. What is 21*f(g) + 5*k(g)? 129*g**2 Let u(s) = s**3 + s**2. Let b(v) = 10*v**3 + 12*v**2. Let j(p) = -p**3 - 5*p**2 + 40*p + 38. Let a be j(-9). Give a*b(f) - 22*u(f). -2*f**3 + 2*f**2 Let g(d) = 10*d + 212. Let c(t) = 16*t + 423. What is 3*c(h) - 5*g(h)? -2*h + 209 Let u(w) = -7*w**3 - 5*w - 3. Let g(j) be the third derivative of -j**6/15 - j**4/4 - 2*j**3/3 + 2*j**2 - 18. Give 5*g(z) - 6*u(z). 2*z**3 - 2 Let k(t) = 7*t - 1. Let g(o) = -5*o + 1 - 2*o - 11*o - 2*o + 2. Give 4*g(b) + 11*k(b). -3*b + 1 Let k(g) be the second derivative of 16*g + 1/2*g**3 + 0 + 3/2*g**2. Let o(a) = -6*a - 7. Calculate 7*k(r) + 3*o(r). 3*r Let v(r) = -r**2 + 3 + 2*r**3 - 7*r**2 + 0*r**2 + 13*r**2 + 2. Let s(p) be the first derivative of p**4/4 + p**3/3 + p - 1. What is -5*s(q) + v(q)? -3*q**3 Let v(j) = 2*j + 18. Let s = -420 + 423. Let r(y) = y + 9. Give s*v(b) - 5*r(b). b + 9 Let u(a) be the first derivative of 3*a**4 + 16*a**3/3 - 8*a**2 + 158. Let m = -29 - -13. Let k(d) = d**3 + d**2 - d. Determine m*k(s) + u(s). -4*s**3 Let f(u) be the third derivative of u**4/24 - u**3/6 - 7*u**2. Let n(r) = r - 1. Suppose -5*o = -4*q - 0*q - 28, -q - 3*o + 10 = 0. Calculate q*n(g) + 4*f(g). 2*g - 2 Suppose 0 = -5*g - 5*i - 50, -i = -0*g - 2*g - 8. Let f(w) be the third derivative of 7*w**4/24 + w**3/3 + w**2. Let m(o) = -8*o - 2. What is g*m(y) - 7*f(y)? -y - 2 Let p(q) = q + 6. Let o(r) = 2. Let h(i) = -3*o(i) + p(i). Let u(n) = -8*n. Calculate -2*h(w) - u(w). 6*w Let u(o) = -o**3 + 1. Let k(w) = -5*w**3 - 2*w + 5. Let r be (425/(-35) + 13)*28/(-6). Determine r*u(l) + k(l). -l**3 - 2*l + 1 Let m(g) = -2*g**3 - 5*g - 2. Let r(z) = -2*z**3 + 4*z**2 - 6*z - 11. Let s(p) = p**2 - 2. Let x(w) = r(w) - 4*s(w). Determine 3*m(i) - 2*x(i). -2*i**3 - 3*i Let f(a) = -2*a - 1. Let u(j) = -4*j - 1. Give 9*f(l) - 4*u(l). -2*l - 5 Let y(t) = -71*t**2 + 8*t + 11. Let k(g) = -25*g**2 + 3*g + 4. Let d(o) = 11*k(o) - 4*y(o). Let x(w) = 18*w**2 + 2*w. Determine 7*d(i) - 3*x(i). 9*i**2 + i Let s(x) be the third derivative of x**4/3 + x**3/3 - x**2. Let t(h) = -9*h - 3. Calculate 7*s(b) + 6*t(b). 2*b - 4 Let p = -32 + 31. Let x(w) = 9*w**2 + 5*w - 5. Let o(s) = -s**2 - s - 17. Let y(d) = 2*d**2 + 2*d + 31. Let f(z) = 11*o(z) + 6*y(z). Give p*x(b) + 5*f(b). -4*b**2 Let k(t) = -27*t**2 + 2*t + 2. Let m(f) = 10*f**2 - f - 1. What is -4*k(a) - 11*m(a)? -2*a**2 + 3*a + 3 Let d be ((-1)/(-5))/(42/630). Let k(b) = 11*b**3 - 4*b**2 - 7*b. Let y(t) = -6*t**3 + 2*t**2 + 3*t. What is d*k(r) + 7*y(r)? -9*r**3 + 2*r**2 Suppose 0 = 2*h - 4 + 12. Let k(p) = -3*p - 9. Let y(c) = c + 4. Suppose 20 = -v - 3*r + 8, -5*v = r + 46. What is h*k(g) + v*y(g)? 3*g Let n(f) = f - 2. Let v(w) = 7*w - 20. Determine -5*n(g) + v(g). 2*g - 10 Let i(q) = -2*q**2 - 8*
{ "pile_set_name": "DM Mathematics" }
-0*o + o. Suppose g + 1 = v, o*g + v = -0*g + 11. Let l = 5 + g. Is l a prime number? True Suppose -3*w - 1871 - 682 = 0. Let m = -441 - w. Let n = -147 + m. Is n composite? False Let l = 10 + -1. Suppose 2*h = 3*y + l, -y + 39 = 4*h - 0*y. Suppose -4*n - 95 = -h*n. Is n a prime number? True Let t be 724/(-1)*(0 - 1). Suppose t = u + 3*u - 4*y, y + 921 = 5*u. Let m = u - -258. Is m prime? True Suppose 9*t - 5*t - 24 = 2*j, -16 = -t - 2*j. Let x = t - 5. Suppose 5*u = -y + 4*y - 8, x*u - 70 = -5*y. Is y composite? False Let y = -12 + 20. Suppose 4*z + 7 = 3*a - z, 3*a = 4*z + y. Suppose -3*q + 244 = -2*f - a, 3*q - 245 = -f. Is q a composite number? True Suppose -8 = 2*k - 4*t, -k - t = -0*k - 5. Suppose 173 = k*n + 4*f - 255, 4*n - 4*f - 892 = 0. Suppose 5*i = i + n. Is i composite? True Suppose 42*h = 40*h. Let l(w) = 2*w + w - w**2 + 21 - 4*w. Is l(h) composite? True Let w be (66/8)/(1/4). Suppose 2*v + 8 = 0, -3*b - 2*v + v + 134 = 0. Let a = b - w. Is a a prime number? True Let n(b) = -14*b - 4. Let h be n(-4). Is (h/(-6))/((-2)/3) a prime number? True Suppose 0*u = -2*u + 58. Suppose 5*q + 79 - u = 0. Is (-506)/q - 4/(-10) prime? False Suppose 0*s = v - 4*s - 55, -5*v = -s - 351. Is v a prime number? True Let d = 3 - -2. Suppose -2464 = -4*t + 2*g + 248, -t + 687 = -d*g. Is t composite? False Let f = -35 - -181. Let s = f - 75. Is s a composite number? False Suppose d - 3*d + 3*g + 1054 = 0, -2148 = -4*d - 4*g. Is d prime? False Let s = 1 - 1. Let j(x) = -x**2 + 3. Let i be j(0). Suppose 2*t - 5*q - 49 - 26 = s, 0 = i*t - 4*q - 109. Is t a prime number? False Let h(j) = 12*j**2 + 9*j - 8. Is h(3) composite? False Let h(n) = 2*n**2 - 2*n + 14. Let b(c) = -c**2 + 3*c - 13. Let f(p) = 3*b(p) + 2*h(p). Suppose 3 + 6 = -k. Is f(k) a prime number? False Suppose x = -5*i + 1672, 0 = -2*x + 1 - 7. Is i prime? False Suppose 41*n - 38*n = 2949. Is n a prime number? True Let j(k) = -36*k - 5. Let h be j(-5). Let r = h + -56. Let w = r - 72. Is w a composite number? False Let y = 126 + -35. Is y prime? False Let l = 1 + -2. Let w = 16 + l. Suppose 2*h + h = -5*n + w, 4*h - 10 = -5*n. Is n a composite number? True Suppose -4*o + k + 50 = -k, -o + 11 = -2*k. Is o prime? True Let x(s) be the first derivative of -s**5/60 + s**4/2 - 11*s**3/6 + s**2 + 2. Let v(y) be the second derivative of x(y). Is v(8) a prime number? False Let i = -13 - -4. Let h(m) = 12*m**2 - 2. Let l be h(2). Let a = l + i. Is a a composite number? False Let p = 39 + -9. Suppose -2*v - 3*w = -3166, w + p = -v + 1615. Is v prime? False Suppose m - 4*p = -0*p - 1, -4*m - 3*p + 15 = 0. Suppose m*l + 2*l - 10 = 0. Suppose l*z - 1081 = -z - 4*h, -2*z + 714 = h. Is z a prime number? False Let x be 5 + (0 - -3) + -4. Suppose 0 = -x*n + 246 + 230. Is n a prime number? False Suppose -z + 5*z = 0. Suppose 59 = 4*s + 5*y - 93, z = s - 2*y - 51. Is s a composite number? False Let o = -2 + 5. Is 7 - (-3 + o)/(-2) prime? True Suppose 0*q + 5*q = 95. Is q composite? False Suppose 0 = -3*m - m - 12. Let x(g) = -g - 5. Let l be x(m). Is (l + -2)/((-4)/6) prime? False Let v be 8*33 - 2 - 1. Suppose 0 = 5*m - w - v, -203 - 1 = -4*m + 2*w. Is m composite? False Let r(i) = i**3 + 5*i**2 + 3*i - 4. Let t be r(-4). Let w(l) = -l**2 + 103. Is w(t) prime? True Let d(i) = 61*i + 2. Let t be d(2). Let c be -3 - (-9 + 2/1). Suppose 0*x - t = -c*x. Is x a composite number? False Let v be 207/6*(-2)/(-3). Let r = v + -8. Is (-2)/(-6)*7*r prime? False Let t(b) = 372*b - 4. Let y be t(5). Suppose -994 = -5*f + y. Suppose 2*d + f = 4*j, 4*j - 161 - 444 = -5*d. Is j a composite number? True Let g(k) = 5*k**3. Let l(m) = m - 2. Let y be l(3). Let n be g(y). Suppose -88 = x - n*x. Is x composite? True Let w(r) = -r - 5. Let i be w(-4). Let l(y) = 15*y**2 + y + 1. Is l(i) a prime number? False Let t(j) = 114*j**2 - 6*j - 1. Is t(5) composite? False Is 3/(-15) - 3156/(-5) prime? True Suppose -568 + 1420 = 4*v. Is v a composite number? True Let r(v) = 4*v**2 - 14*v + 7. Is r(10) a prime number? False Suppose 0*o = -2*b + 2*o + 894, b = 3*o + 455. Is b a composite number? False Suppose -4*k + 586 = 3*t - 118, 16 = -4*t. Is k a composite number? False Let c = -120 - -3. Let f = c + 169. Suppose -3*u - f = -157. Is u composite? True Suppose 4*a + 0*a = 0. Suppose g = 4*u - 153, a*u = -3*u - g + 106. Is u prime? True Suppose -14 = -5*y + 1. Is ((-204)/9)/(-2)*y a composite number? True Let k = -1148 - -665. Let v = k - -952. Is v composite? True Let c(j) = -j**3 - 11*j**2 + 10*j + 13. Is c(-12) prime? True Suppose -5*v = 4*v - 3519. Is v a prime number? False Let f = -9 + 48. Is f composite? True Let y(f) = -f**2. Let k be y(-1). Is ((-131)/(1 - 0))/k a composite number? False Suppose -3*f + f = 8. Let z(m) = -m**2 - 4*m. Let b be z(f). Suppose b = -t + 9 + 17. Is t composite? True Suppose 4*w - 69521 = -15*w. Is w a composite number? False Suppose -3*g + 6*g - 11449 = -2*k, 19080 = 5*g + 5*k. Is g prime? False Is 0 + -4 + -1 + 151 composite? True Suppose -3*m + 336 = -762. Let q(k) = -3*k**2 - 15*k - 5. Let i be q(-11). Let n = m + i. Is n prime? True Let d be 2/(-9) - 252416/72. Is d/(-6) + (-8)/6 a composite number? True Suppose -3*c - 429 = -4*c. Suppose 2*d + f - 427 = -3*d, -2*f = 5*d - c. Is d prime? False Suppose -5*q + q + 260 = 0. Is q composite? True Let n(i) = 260*i**2 + 22*i - 1. Is n(-5) prime? True Let j(x) = -307*x**3 + x + 1. Is j(-1) composite? False Let j(o) be the third derivative of -25*o**4/12 - o**3/6 - 5*o**2. Is j(-1) a prime number? False Let n = -1 - -4. Suppose 0 = -4*k - 5*u + 475, -5*k = -0*k + n*u - 584. Is k a composite number? True Suppose -21 - 3 = -3*i. Is i - 6/(-1 + -1) a prime number? True Let q(i) be the third derivative of 0 + 0*i + 4/3*i**3 + 41/24*i**4 - i**2. Is q(7) a prime number? False Suppose 0*w = -3*w - 6. Is 22*15/(-12)*w prime? False Suppose 266 - 43 = d. Is d a prime number? True Let g be (1 - 1)/(-3 - -5). Suppose g = -4*d + 12, -8*n + 4*n - 4*d = -100. Is n a prime number? False Let v be (-1317)/(-4) + (-4)/16. Suppose -4*o = -1259 - v. Is o a prime number? True Suppose 8 = 2*h + 2*h. Suppose -h*b - 2*b + 492 = 0. Is b composite? True Suppose -8 = 2*o + 3*g, 7 = 3*o - 5*g - 0. Is -1*(-319 - (-1 - o)) a composite number? True Suppose -1223 = -3*s - z, 1227 = s + 2*s + 3*z. Is s a composite number? True Let b(g) = -54*g**2 - g - 2. Let v be b(2). Let s = v - -525. Is s a composite number? True Suppose 4*t - 9 = 15. Suppose -2*r = r - t. Suppose -2*f - r*f = -36. Is f a composite number? True Let f be (-5640)/(-13) + 2/13. Suppose 4*a = -5*i + f, -105 = -a - 0*a - 3*i. Is a composite? True Let z(b) = b - 5 - b**3 + 2*b**2 - 8*b - 10*b**2. Is z(-10) prime? False Let n(t) = 37*t**3 + t**2 + t - 1. Let i be n(1). Suppose 32 = 3*l + l. Let y = l + i. Is y a composite number? True Suppose -4*c + 575 = -2477. Suppose 0*y + 3*y - 552 = -3*d, -4*y = -5*d - c. Is y composite? True Let t(n) = 3*n**3 + 5*n**2 + 4*n + 3. Is t(5) prime? True Let i(c) = -34*c - 1. Suppose -3*p + 4 - 1 = 0. Suppose p = -g - 0*g. Is i(g) a composite number? True Let h(g) = 23*g**2 + 2*g + 1. Suppose 0 = l + 5 - 6. Suppose v = -4*z + 14, 0 = 3*v - 3*z - l + 4. Is h(v) prime? True Let u = -20 - -12. Let y = u - -44. Suppose -2*i - l = -y, -3*i + 3*l + 82 = i. Is i a composite number? False Let m = -2 - -5. Suppose 2*s - m*a = s + 67, 2*s = -a + 99. Suppose 2*x - s = -4*q, 3*x - 63 = -0*q - 5*q. Is q a prime number? False Let o be 17*(51 - 0) - -2. Let k = -393 + o. Suppose 5*f - k = f. Is f composite? True Let u(i) = 10*i**2 - 6*i - 17. Is u(-4) composite? False Let a(f) = 163*f**3 + f**2 - 2*f + 1. Is a(1) composite? False Let l be 114/8*(2 - 14). Let m = 290 + l. Is m prime? False Let c be 32/(-10) - (-9)/45. Is (-19 + c)/(2/(-7)) prime? False Let i = 8 - 5. Suppose 3 = i*m, -p + m = p - 175. Let t = -21 + p. Is t composite? False Suppose 10 = 5*t, -2*i - 2*i - t + 6 = 0. Let x(m) = -15*m - 2 - i + 5*m. Is x(-4) a composite number? False Suppose 3*u = -0*v - 4*v + 26671, -3*u + v = -26651. Is u a prime number? False Let f = 5 - -108. Is f composite? False Suppose -5*r = -5*p, -16 = -p - 5*r + 2*r. Suppose -p*o = -o. Suppose o = 5*u + 1 - 21. Is u a composite number? True Let c be (-10 + -1)*(0 - -1). L
{ "pile_set_name": "DM Mathematics" }
. 1895608 Convert 59208a (base 11) to base 3. 1202202010211 What is -1312550 (base 7) in base 16? -29dad What is -75ade (base 15) in base 9? -628562 -64c58 (base 14) to base 8 -734276 What is 218075 (base 9) in base 6? 2444235 What is -1444677 (base 10) in base 12? -598059 What is 56410154 (base 7) in base 14? 9153d4 Convert -5233124 (base 11) to base 16. -8ccec2 What is -ccb17 (base 15) in base 10? -650497 -39c4b (base 15) to base 6 -3544325 1146524 (base 11) to base 14 3a0b05 What is 1443444 (base 6) in base 5? 10140024 Convert 734055 (base 8) to base 16. 3b82d What is -78678 (base 9) in base 4? -30301130 138a9a (base 11) to base 15 4442b What is -341303155 (base 6) in base 14? -b82219 Convert -1311215 (base 6) to base 16. -1179b What is 150105 (base 8) in base 15? 10be7 31304770 (base 8) to base 6 354343400 -85b2b (base 12) to base 7 -1332356 What is -1993043 (base 10) in base 5? -1002234133 4b9766 (base 12) to base 14 243cbc cb94 (base 13) to base 4 12322320 -8a69a (base 13) to base 12 -101727 Convert -16614432 (base 7) to base 6. -55010023 What is 5364644 (base 8) in base 5? 331423233 What is -230000110 (base 4) in base 7? -1350331 Convert -210031232303 (base 4) to base 10. -9493427 Convert 4548a9 (base 11) to base 3. 1100202220011 Convert -1a6b4e (base 16) to base 10. -1731406 What is 480741 (base 9) in base 8? 1065010 -4313260 (base 7) to base 13 -154a0b What is 10210120202111 (base 3) in base 12? 8145aa Convert -13bb8 (base 12) to base 5. -1341034 Convert -2527054 (base 8) to base 2. -10101010111000101100 What is 141a2 (base 13) in base 11? 26318 Convert -1010111011010001001 (base 2) to base 15. -71135 Convert 22022210220112 (base 3) to base 2. 10000111000010100000011 -100001220220011 (base 3) to base 8 -22307500 Convert -3225500 (base 6) to base 4. -212322030 What is 20202620 (base 8) in base 7? 51135340 4141976 (base 10) to base 6 224435452 What is -132333101313 (base 4) in base 7? -126022464 10134535 (base 6) to base 9 485415 11200245 (base 6) to base 11 214152 b078 (base 13) to base 11 17260 What is 546312 (base 7) in base 8? 273155 What is c7e54 (base 16) in base 6? 25314340 Convert -233220001 (base 4) to base 9. -326527 Convert -16b9c (base 16) to base 13. -334a4 -1127723 (base 8) to base 14 -7dd19 -182668 (base 14) to base 6 -30132004 What is 438c9 (base 14) in base 6? 3301333 What is 2382736 (base 9) in base 10? 1294575 Convert 17261 (base 14) to base 12. 29759 What is 120002000112 (base 3) in base 2? 1001000011100001101 What is -48438 (base 9) in base 7? -163364 What is -15355213 (base 7) in base 9? -2688661 268232 (base 9) to base 14 43819 2704284 (base 9) to base 16 1692d3 133741 (base 8) to base 4 23133201 Convert 2614156 (base 8) to base 7. 6115654 What is -584b13 (base 12) in base 5? -330343214 Convert 35623425 (base 7) to base 4. 30010321002 Convert 10110100011000110011011 (base 2) to base 13. 12bc5c8 What is 80818 (base 11) in base 12? 5842b Convert -2350313 (base 6) to base 3. -20021001100 Convert 8e9c (base 16) to base 9. 55064 Convert 3300013001 (base 5) to base 9. 14207382 Convert -130202033212 (base 4) to base 8. -34421746 -59576e (base 16) to base 2 -10110010101011101101110 What is 110103142 (base 5) in base 7? 4004650 Convert -2bbbe5 (base 15) to base 11. -12153a8 -6913b (base 13) to base 15 -3ba73 What is 44115140 (base 6) in base 2? 101000001011011100100 What is -15b8b0 (base 13) in base 2? -10000011110001110000 What is 10577875 (base 11) in base 2? 1001101110101110000100000 Convert -12bd35 (base 15) to base 9. -1622505 -12031210 (base 5) to base 14 -2c874 -16861 (base 11) to base 10 -23662 54416 (base 11) to base 7 446260 Convert 1100010011011100 (base 2) to base 15. edeb Convert -3706a (base 13) to base 8. -305436 What is 1111103 (base 6) in base 10? 55983 What is 1100010001101110000000 (base 2) in base 13? 888b2b Convert -32100223 (base 7) to base 15. -38bb84 Convert 1060044 (base 7) to base 9. 221163 Convert -521280 (base 9) to base 4. -1023201102 What is 341402333 (base 5) in base 15? 1ed3b3 2167a08 (base 11) to base 14 70dab0 What is -21043434 (base 5) in base 14? -47a29 -12372 (base 12) to base 4 -12002012 1213836 (base 11) to base 5 1020111204 What is -213272 (base 13) in base 4? -2331332321 19d1a (base 15) to base 8 243756 1215035 (base 7) to base 11 a6838 Convert -1432002143 (base 5) to base 10. -3781548 Convert -41504513 (base 6) to base 8. -4464075 Convert 4e35ef (base 16) to base 10. 5125615 945333 (base 10) to base 16 e6cb5 What is 2400222440 (base 5) in base 8? 24710414 -1130443 (base 7) to base 15 -2c091 Convert 3130213203 (base 4) to base 11. 567a21 133512 (base 8) to base 3 2101100212 What is -10223310232 (base 4) in base 9? -2271541 Convert 1426404 (base 7) to base 8. 566701 What is 47229 (base 12) in base 4? 113102001 Convert -11100011101010110010 (base 2) to base 16. -e3ab2 100110113 (base 4) to base 13 24566 Convert 14a84 (base 13) to base 16. 98eb Convert 63435555 (base 7) to base 9. 11085113 Convert 2374325 (base 11) to base 16. 3f164c Convert -10ab6b (base 12) to base 2. -1000001011000000011 -101012221201201 (base 3) to base 14 -a15622 What is 460478 (base 10) in base 13? 131795 Convert 19085b (base 16) to base 8. 6204133 What is 11111001100100000111001 (base 2) in base 8? 37144071 4d2242 (base 14) to base 10 2656642 61889 (base 14) to base 10 234929 -50c035 (base 14) to base 4 -22120210233 What is -19ab43 (base 15) in base 6? -42453000 Convert 12310101203 (base 4) to base 3. 10100210021102 Convert -167504 (base 12) to base 11. -244071 11501352 (base 7) to base 11 640734 801919 (base 11) to base 8 4731140 What is 151846a (base 11) in base 15? 366260 -24840 (base 9) to base 8 -40522 What is -67246 (base 12) in base 11? -93903 What is -1001110001010100111011 (base 2) in base 3? -11211010111102 Convert -25411455 (base 7) to base 3. -11100010121100 9724028 (base 10) to base 14 1411a56 11001010101000011011000 (base 2) to base 4 121111003120 35c16 (base 15) to base 10 171471 Convert 6a60 (base 13) to base 2. 11101001100110 What is -10024010 (base 5) in base 13? -2a488 -1329132 (base 12) to base 8 -16351566 What is -261608 (base 12) in base 5? -124442210 Convert -3235552 (base 6) to base 4. -213032330 18b9524 (base 12) to base 7 62243452 What is -528377 (base 11) in base 2? -11001110011101000000 What is 133054310 (base 6) in base 10? 2666850 Convert 1001001011111011011111 (base 2) to base 5. 1104030114 10111111111010011001010 (base 2) to base 8 27772312 What is -227105 (base 8) in base 7? -441413 Convert -1212064 (base 9) to base 12. -278694 Convert 11110111001011111100 (base 2) to base 10. 1012476 What is 3485 (base 14) in base 7? 35425 Convert 253939 (base 10) to base 14. 68787 1016732 (base 13) to base 4 102210322100 1010111010100010 (base 2) to base 4 22322202 15483 (base 12) to base 15 8d86 What is -38165 (base 13) in base 2? -11001010001010111 32f940 (base 16) to base 9 6251406 Convert -152143543 (base 6) to base 16. -309ef7 What is -10112221001221 (base 3) in base 5? -440410122 What is -31414550 (base 7) in base 6? -133000435 What is 203655 (base 10) in base 5? 23004110 Convert 666452 (base 10) to base 16. a2b54 44300042 (base 6) to base 16 144a3a 88171 (base 12) to base 7 1346416 Convert -31103135 (base 6) to base 10. -894947 -250168 (base 10) to base 6 -5210104 Convert -1001101110100111010 (base 2) to base 11. -1a8559 What is a30be1 (base 15) in base 7? 122600554 Convert -243182 (base 9) to base 2. -100011110011111100 What is -40171 (base 9) in base 10? -26389 Convert 1f8ff (base 16) to base 15. 28489 Convert 3a22819 (base 11) to base 2. 11010100010110000101101 -237b75 (base 12) to base 5 -121324031 Convert -2871922 (base 10) to base 12. -b65baa Convert -1555330 (base 6) to base 3. -11201212200 What is 534225 (base 6) in base 13? 16b92 Convert 247660 (base 16) to base 4. 21013121200 Convert -4297d (base 14) to base 15. -32aa2 Convert -58cc3 (base 15) to base 6. -10022120 Convert 320775 (base 8) to base 14. 2add3 312330213 (base 4) to base 14 5c03d -1006055 (base 8) to base 4 -1000300231 -42120312 (base 5) to base 8 -1250057 What is 1064387 (base 10) in base 14? 1d9c79 Convert -312de (base 15) to base 7. -1216355 -835189 (base 12) to base 3 -10212202012020 Convert -357638 (base 10
{ "pile_set_name": "DM Mathematics" }
- o**5/90 - 5*o**4/6 + 24*o**2. Let d(w) be the second derivative of u(w). Factor d(y). -2*(y + 1)**2*(y + 2)/3 Let d(n) be the first derivative of 29 - 1/6*n**3 + 1/12*n**6 + 0*n**2 - 1/8*n**4 + 0*n + 1/10*n**5. Suppose d(s) = 0. Calculate s. -1, 0, 1 Let t(s) be the first derivative of -10/3*s**2 + 40/9*s**3 + 1/3*s**5 + 0*s - 8 - 25/12*s**4. Suppose t(m) = 0. What is m? 0, 1, 2 Let b(c) be the third derivative of -c**8/672 + 11*c**7/210 - c**6/6 - c**5/60 + 41*c**4/48 - 5*c**3/3 + c**2 + 46*c. Solve b(g) = 0 for g. -1, 1, 20 Let u(w) be the first derivative of w**3/3 - 20*w**2 + 161. What is c in u(c) = 0? 0, 40 Let d(a) be the third derivative of -a**7/5040 - a**6/360 - a**5/80 + a**4/8 - 3*a**2. Let t(k) be the second derivative of d(k). Factor t(m). -(m + 1)*(m + 3)/2 Suppose 2*p - 3*x + 23 = 38, -3*p = -5*x - 25. Factor -8/7*i**2 + p + 4/7*i**5 - 4/7*i + 0*i**3 + 8/7*i**4. 4*i*(i - 1)*(i + 1)**3/7 Let f(w) be the third derivative of 1/21*w**3 + 0*w**5 + 1/210*w**6 + 0*w + 19*w**2 - 1/735*w**7 - 1/42*w**4 + 0. Factor f(z). -2*(z - 1)**3*(z + 1)/7 Let x be (9/(-4))/(246/(-328)). Let r = 13/2 + -5. Suppose n**2 - 1/4*n**5 - r*n**x + 0 + n**4 - 1/4*n = 0. What is n? 0, 1 Let h(w) = -w**2 - 3. Let o(k) = -k**2 - 1. Let d = -31 + 33. Let z(i) = d*h(i) - 4*o(i). Factor z(b). 2*(b - 1)*(b + 1) Let 4 - 152/3*d**2 - 20/3*d - 72*d**3 - 20/3*d**5 - 116/3*d**4 = 0. What is d? -3, -1, 1/5 Let l(m) be the third derivative of 0 + 0*m + 1/450*m**5 + 11*m**2 + 0*m**3 + 1/36*m**4. Determine n so that l(n) = 0. -5, 0 Let y(u) be the third derivative of -u**6/180 + u**4/9 - 290*u**2. Factor y(h). -2*h*(h - 2)*(h + 2)/3 Suppose -3*w - 5*q = -70, w + q + 6 = 28. Let i be (30/(-25))/((-6)/w). Factor 6*l**3 + l**i - 1 + 1 + 4*l**2 - 2*l**3. l**2*(l + 2)**2 Let g = 61 + -2. Let i = -57 + g. Factor 2/9*x**i + 2 - 4/3*x. 2*(x - 3)**2/9 Let h be -6 - (-728)/119 - 66/(-17). Factor 759*j**2 + j**3 + 3*j**3 - 755*j**2 - 4*j - 4*j**h. -4*j*(j - 1)**2*(j + 1) Let h be (2*-1 - 20/(-12))*0. Let x(n) be the first derivative of h*n**2 + 1/4*n**4 - 2 + 1/10*n**5 + 0*n + 1/6*n**3. Suppose x(b) = 0. What is b? -1, 0 Let g(u) be the first derivative of 2/5*u**2 - 19 - 2/5*u - 1/5*u**4 + 0*u**3 + 2/25*u**5. Factor g(w). 2*(w - 1)**3*(w + 1)/5 Let j(o) be the third derivative of o**8/13440 - o**7/7560 - o**6/1440 + o**5/360 - 7*o**4/24 - 4*o**2. Let z(h) be the second derivative of j(h). Factor z(d). (d - 1)*(d + 1)*(3*d - 2)/6 Let 1/3*n**2 - n - 10/3 = 0. Calculate n. -2, 5 Let p(b) = b**3 + 10*b**2 + 10*b + 13. Let x be p(-9). Find v, given that 13*v**4 - 7*v**2 - 4*v - 30*v**x + v**2 + 19*v**4 = 0. -1, 0, 2 Let r(y) be the second derivative of -y**6/30 + 7*y**5/40 - y**4/8 - 86*y. Factor r(m). -m**2*(m - 3)*(2*m - 1)/2 Let r(t) be the third derivative of t**6/135 + 4*t**5/135 - 11*t**4/108 + t**3/9 + 12*t**2 - 1. Factor r(w). 2*(w + 3)*(2*w - 1)**2/9 Let x(p) = p**3 + 5*p**2 - 4*p + 16. Let h be x(-6). Suppose -9*m = -10*m + h. Factor 0*y + 4/7*y**2 + 0*y**3 - 2/7*y**m - 2/7. -2*(y - 1)**2*(y + 1)**2/7 Let o + 1/2*o**4 - 3/2*o**2 + 0*o**3 + 0 = 0. Calculate o. -2, 0, 1 Let p(k) be the third derivative of -k**8/1008 + k**6/36 + k**5/9 + 5*k**4/24 + 2*k**3/9 + 21*k**2 + 2. Factor p(d). -(d - 4)*(d + 1)**4/3 Suppose 0 = -41*h - 117 + 117. Let -c**3 - 2*c**2 + h*c + 1/2 + c**5 + 3/2*c**4 = 0. Calculate c. -1, 1/2, 1 Factor -f - 1327*f**2 + 2 + 1326*f**2 + 10. -(f - 3)*(f + 4) Let p(j) be the third derivative of j**6/120 - j**5/60 + j**4/24 - j**3/6 + 5*j**2. Let m(z) = -z**3 + 6*z**2 - 6*z + 6. Let c(a) = m(a) + 6*p(a). Factor c(y). 5*y**3 Let d(r) be the third derivative of r**4 + 2*r**3 + 1/40*r**6 - 9*r**2 + 0*r + 0 + 1/4*r**5. Factor d(u). 3*(u + 1)*(u + 2)**2 Let a be (-342)/(-19) + 14 + -32. What is b in a*b**3 - 16/5*b**2 + 0 + 4/5*b**4 + 0*b = 0? -2, 0, 2 Let u(m) be the third derivative of 1/42*m**7 - 25/96*m**4 + 1/24*m**6 - 5/12*m**3 - 28*m**2 - 1/24*m**5 + 0*m + 5/1344*m**8 + 0. Let u(y) = 0. Calculate y. -2, -1, 1 Let f be 7 - 17 - (-2 - 8). Let m(c) be the second derivative of 0 - 1/36*c**4 + 1/6*c**2 - 6*c + f*c**3. Solve m(g) = 0. -1, 1 Let u(v) be the third derivative of -v**8/1680 + 71*v**7/1050 - 51*v**6/25 - 108*v**5/25 + 280*v**2 - 2. Factor u(o). -o**2*(o - 36)**2*(o + 1)/5 Let q = 60/73 + -201/511. Solve q*d**2 + 0*d + 3/7*d**3 + 0 = 0 for d. -1, 0 Let j(v) be the third derivative of -5*v**2 + 0 + 1/9*v**5 - 13/18*v**4 + 0*v - 4/3*v**3. Factor j(i). 4*(i - 3)*(5*i + 2)/3 Let p(k) be the third derivative of 1/15*k**6 - 2/105*k**7 + 0*k**4 + 0*k**5 + 0*k + 0*k**3 + 7*k**2 + 0. Find r such that p(r) = 0. 0, 2 Let i(c) be the second derivative of -5/3*c**4 + 24*c + 20/3*c**3 + 0*c**2 + 1/6*c**6 + 0 - 1/2*c**5. What is s in i(s) = 0? -2, 0, 2 Let k(r) = -5*r + 42. Let y be k(6). Let z(t) be the first derivative of -5 - 36*t**2 - 45*t**3 - y*t - 75/4*t**4. Solve z(p) = 0 for p. -1, -2/5 Let f(t) be the first derivative of -t**5/25 - 4*t**4/5 - 46*t**3/15 + 72*t**2/5 - 81*t/5 + 300. Solve f(a) = 0. -9, 1 Suppose 5*d - 2 - 3 = 0. Let j(c) = c**2 - c + 1. Let w(t) be the first derivative of -4*t**3/3 + 3*t**2/2 - 5*t + 3. Let k(g) = d*w(g) + 5*j(g). Factor k(v). v*(v - 2) Let w(m) be the first derivative of -m**6/15 + 3*m**5/10 - m**4/6 - m**3 + 2*m**2 - 12*m - 15. Let u(t) be the first derivative of w(t). Factor u(n). -2*(n - 2)*(n - 1)**2*(n + 1) Let v(t) = t**3 + 5*t**2 + 8*t + 2. Let j(u) = u + 1. Let f(c) = -5*j(c) + v(c). Let r be f(-4). Solve r - 4*p**2 - 8*p + 1 + 2 + 8*p**2 = 0 for p. 1 Let f(t) be the second derivative of t**6/45 - 2*t**5/3 + 3*t**4 - 52*t**3/9 + 17*t**2/3 - 38*t + 1. Suppose f(a) = 0. Calculate a. 1, 17 Suppose 5*u - 3 = 4*m - 13, 5*u = m - 10. Suppose m*i + 3*i - 9 = 0. Factor 0*l**2 + i*l**2 - 47*l + 35*l + 12. 3*(l - 2)**2 Let n(t) = -t**2 + 8*t + 15. Let r be n(8). Suppose r*q - 3*q = 36. Factor 0*c**q + 2/15 + 0*c + 2/15*c**4 - 4/15*c**2. 2*(c - 1)**2*(c + 1)**2/15 Let j be (2 + -3)/(-3 + 10/4). Suppose -45*c**3 + 5*c**4 - 32*c + 91*c**2 + 132*c - 16*c**j + 25*c = 0. What is c? -1, 0, 5 Let y be 18/10 + (-17 - -17). Let d = 256/5 - 51. Factor d*b**3 + y*b + 6/5*b**2 + 0. b*(b + 3)**2/5 Let y(p) be the first derivative of -5*p**3 + 55*p**2/2 - 30*p + 147. Factor y(s). -5*(s - 3)*(3*s - 2) Let x(w) = -w**3 - 28*w**2 - w - 24. Let l be x(-28). Let p(k) be the first derivative of 0*k + 0*k**2 + 5 + 3/5*k**5 - 3*k**4 + l*k**3. Factor p(s). 3*s**2*(s - 2)**2 Let h(m) be the first derivative of -1/25*m**5 + 6/5*m**3 + 11 - 1/5*m**4 + 7/5*m - 2*m**2. Find z, given that h(z) = 0. -7, 1 Let h(x) be the third derivative of -5*x**8/336 + 23*x**7/210 + x**6/12 + 73*x**2 + 1. Factor h(b). -b**3*(b - 5)*(5*b + 2) Let i(q) be the second derivative of 5*q**7/378 - 11*q**6/216 - 14*q**5/135 - q**4/18 + 11*q**2/2 - 6*q. Let h(a) be the first derivative of i(a). Factor h(p). p*(p - 3)*(5*p + 2)**2/9 Let i be (-3)/(-4 - -3) - 7. Let v be 0 + 4 + 8 + i. Determine q, given that 0*q**2 + v*q**4 + 0 - 7/2*q**5 + 0*q - 2*q**3 = 0. 0, 2/7, 2 Let d(k) be the second derivative of -k**7/210 + k**5/20 - k**4/12 + k**2 + 5*k. Let m(p) be the first derivative of d(p). Let m(l) = 0. What is l? -2, 0, 1 Suppose 0 = 5*d - 3*y - 30, -2*d - 3*d - y + 10 = 0. Suppose 3*r**4 + 3*r**3 - 6*r**5 - 7*r**2 + r + 4*r**2 + 12*r**d - 10*r = 0. Calculate r. -1, 0, 1, 3/2 Let p = -710 + 710. Let i(k) be the first derivative of 5*k**3 + 3*k**2 + 3*k**4 + 3/5*k**5 + 7 + p*k. Let i(h) = 0. What is h? -2, -1, 0 Let c(t) = -10*t - 58. Let h = 114 - 120. Let i be c(h). Suppose 1/3*k**i - 1/3*k**4 + 1/3*k - 1/3*k**3 + 0 = 0. Calculate k. -1, 0, 1 Let y = -57/109 + 845/1199. Let r = 6384/11 - 580. Factor 6/11*t - y*t**3 + r + 0*t**2. -2*(t - 2)*(t + 1)**2/11 Let u(b) be the second derivative of 0*b**2 + 0 - 7*b - 5/48*b**4 + 5/12*b**3. Factor u(q). -5*q*(q - 2)/4 Let o(p) be the third derivative of -p**7/630 - p**6/45 + 43*p**5/180 - 29*p**4/36 + 4*p**3/3 + 293*p**2. Find x such that o(x) = 0. -12, 1, 2 Factor -130*q + 11*q**2 + 44 - 4 - 46*q**2. -5*(q + 4)*(7*q - 2) Let p = 1481 - 48877/33. Let n = p + 107/66. Solve n*j**2 - 3*j - 9/2 = 0. -1, 3 Let z(x) be the second derivative of -2*x**7/105 + 7*x**6/75 - x**5/25 - 11*x**4/30 + 4*x**3/15 + 4*x**2/5 - 4*x - 1. Let z(o) = 0. Calculate
{ "pile_set_name": "DM Mathematics" }
1440*x**2 + 768*x = 0. What is x? -16, 0, 1 Let -2*k**5/19 + 172*k**4/19 - 662*k**3/19 + 484*k**2/19 + 664*k/19 - 656/19 = 0. Calculate k. -1, 1, 2, 82 Factor f**3/4 + 5*f**2/2 + 29*f/4 + 5. (f + 1)*(f + 4)*(f + 5)/4 Suppose -3*p**2 - 24*p + 1404 = 0. What is p? -26, 18 Factor h**5/4 + 1061*h**4/4 - 2125*h**3/4 + 1063*h**2/4. h**2*(h - 1)**2*(h + 1063)/4 Factor -8*l**2/7 + l + 1/7. -(l - 1)*(8*l + 1)/7 What is z in 3*z**3/5 - 102*z**2/5 + 93*z/5 + 198/5 = 0? -1, 2, 33 Solve -4*w**5 - 64*w**4 - 156*w**3 + 16*w**2 + 208*w = 0. -13, -2, 0, 1 Factor p**2/2 + 59*p + 116. (p + 2)*(p + 116)/2 Determine j, given that j**2 - 215*j - 216 = 0. -1, 216 Find s, given that -3*s**4/5 - 21*s**3/5 + 24*s**2 - 132*s/5 = 0. -11, 0, 2 Find k, given that -3*k**2/5 - 42*k + 213/5 = 0. -71, 1 Determine o, given that o**3/6 - 265*o**2/2 + 26532*o - 78408 = 0. 3, 396 Factor -3*u**2 - 84*u + 999. -3*(u - 9)*(u + 37) Factor p**4/8 - 21*p**3/8 + 7*p**2 - 9*p/2. p*(p - 18)*(p - 2)*(p - 1)/8 Factor -9*n**3 + 120*n**2 - 237*n + 66. -3*(n - 11)*(n - 2)*(3*n - 1) Find u, given that -27*u**5/2 + 2367*u**4/2 + 807*u**3/2 - 1323*u**2/2 + 132*u = 0. -1, 0, 1/3, 88 Factor -3*f**4 + 24*f**3 - 54*f**2 + 48*f - 15. -3*(f - 5)*(f - 1)**3 Factor -2*l**3/15 - 14*l**2/3 - 80*l/3 + 800/3. -2*(l - 5)*(l + 20)**2/15 Factor -81*y**4 - 1584*y**3 + 10841*y**2 - 4580*y + 500. -(y - 5)*(y + 25)*(9*y - 2)**2 Suppose -s**5/4 - 39*s**4/4 - 99*s**3/4 + 319*s**2/4 - 45*s = 0. Calculate s. -36, -5, 0, 1 Determine c so that -108*c**5 + 228*c**4 + 272*c**3 + 48*c**2 = 0. -2/3, -2/9, 0, 3 Let -b**2 + 57*b = 0. What is b? 0, 57 Suppose w**5/3 + 86*w**4/3 + 169*w**3/3 + 28*w**2 = 0. What is w? -84, -1, 0 Factor 4*g**3 - 312*g**2 - 11088*g - 83104. 4*(g - 106)*(g + 14)**2 What is z in -z**2/3 - 154*z - 17787 = 0? -231 Factor h**3 - 831*h**2 + 172224*h + 173056. (h - 416)**2*(h + 1) Solve -5*r**4 - 1650*r**3 - 3275*r**2 + 1650*r + 3280 = 0. -328, -2, -1, 1 Find k, given that 14*k**3/9 - 100*k**2/9 + 98*k/9 - 4/3 = 0. 1/7, 1, 6 Suppose 50*x**2 + 504*x + 40 = 0. What is x? -10, -2/25 Let -4*y**2 - 12*y = 0. What is y? -3, 0 Factor 529*n**3/4 + 575*n**2/2 + 47*n + 2. (n + 2)*(23*n + 2)**2/4 Factor 8*n**3 - 42*n**2 + 70*n - 36. 2*(n - 2)*(n - 1)*(4*n - 9) Find g such that -g**5 + 68*g**4 + 9*g**3 - 612*g**2 = 0. -3, 0, 3, 68 Find s, given that -25*s**3 - 610*s**2 - 1340*s - 440 = 0. -22, -2, -2/5 Let -5*f**2 + 50*f - 105 = 0. What is f? 3, 7 Find w, given that -162*w**5 + 738*w**4 - 296*w**3 - 248*w**2 - 32*w = 0. -2/9, 0, 1, 4 Factor 3*h**4 - 99*h**3 + 189*h**2 - 93*h. 3*h*(h - 31)*(h - 1)**2 Suppose 7*c**5 - 100*c**4 + 119*c**3 - 26*c**2 = 0. What is c? 0, 2/7, 1, 13 Determine m so that -15*m**5 + 129*m**4 + 234*m**3 - 228*m**2 - 120*m = 0. -2, -2/5, 0, 1, 10 Suppose 2*o**2/11 + 64*o/11 + 174/11 = 0. What is o? -29, -3 Solve -5*l**4 - 30*l**3 + 85*l**2 + 30*l - 80 = 0. -8, -1, 1, 2 Let 245*k**5 - 4795*k**4 - 3690*k**3 + 32660*k**2 - 17320*k + 2400 = 0. What is k? -3, 2/7, 2, 20 Factor -o**2/2 - 93*o + 188. -(o - 2)*(o + 188)/2 Factor -15*j**3 - 125*j**2 + 420*j - 220. -5*(j - 2)*(j + 11)*(3*j - 2) Solve -2*w**3/21 - 2*w**2/3 + 292*w/21 - 272/7 = 0 for w. -17, 4, 6 Factor -96*h**3 - 1052*h**2 - 916*h + 40. -4*(h + 1)*(h + 10)*(24*h - 1) Determine v so that v**2/7 - 89*v + 622/7 = 0. 1, 622 Factor 5*j**3 - 5915*j**2 + 1746400*j + 1752320. 5*(j - 592)**2*(j + 1) Suppose -90*g**3 - 86*g**2 + 4*g = 0. Calculate g. -1, 0, 2/45 Factor 2*d**5/13 + 6*d**4/13 + 4*d**3/13. 2*d**3*(d + 1)*(d + 2)/13 Find j such that 2*j**4/11 - 4*j**3/11 - 6*j**2/11 + 16*j/11 - 8/11 = 0. -2, 1, 2 Factor -5*q**3/3 + 40*q**2/3 + 55*q/3 - 30. -5*(q - 9)*(q - 1)*(q + 2)/3 Determine m, given that 2*m**3 + 4666*m**2 - 9338*m + 4670 = 0. -2335, 1 Factor -6*l**5 + 34*l**4/3 - 14*l**3/3 - 2*l**2/3. -2*l**2*(l - 1)**2*(9*l + 1)/3 Factor 36*p**3 - 128328*p**2 + 85540*p - 14256. 4*(p - 3564)*(3*p - 1)**2 Factor 3*j**2 + 114*j + 495. 3*(j + 5)*(j + 33) What is a in 2*a**2 + 424*a + 22472 = 0? -106 Let k**5 - 26*k**4 + 141*k**3 + 364*k**2 + 196*k = 0. What is k? -1, 0, 14 Solve -15*b**3 - 344*b**2 + 25*b + 46 = 0 for b. -23, -1/3, 2/5 Factor x**2 + 6*x - 27. (x - 3)*(x + 9) Factor 4*q**3/7 - 100*q**2/7 + 48*q. 4*q*(q - 21)*(q - 4)/7 Find b such that -4*b**5/7 + 40*b**4/7 - 12*b**3/7 - 216*b**2/7 = 0. -2, 0, 3, 9 Suppose -h**2/4 + 25*h/4 - 6 = 0. Calculate h. 1, 24 Determine y so that y**3 + 121*y**2 - 122*y = 0. -122, 0, 1 Factor 23*y**3/7 + 20*y**2/7 - 3*y/7. y*(y + 1)*(23*y - 3)/7 Find m, given that 6*m**4/5 - m**3 - 7*m**2/5 + m + 1/5 = 0. -1, -1/6, 1 Factor -2*x**5 - 4*x**4 + 52*x**3 - 112*x**2 + 94*x - 28. -2*(x - 2)*(x - 1)**3*(x + 7) Determine o so that 2*o**5/5 + 4*o**4/5 - 4*o**3/5 - 8*o**2/5 + 2*o/5 + 4/5 = 0. -2, -1, 1 Factor -5*k**4 - 465*k**3 - 11910*k**2 - 51040*k - 58080. -5*(k + 2)*(k + 3)*(k + 44)**2 Factor 18*k**3 + 372*k**2 + 2546*k + 5776. 2*(k + 8)*(3*k + 19)**2 Determine q so that -4*q**3 + 188*q**2 - 1680*q = 0. 0, 12, 35 Find b, given that b**4/6 - 253*b**3/3 - 1018*b**2/3 - 340*b = 0. -2, 0, 510 Suppose 75*g**4 - 690*g**3 + 987*g**2 + 1140*g + 252 = 0. Calculate g. -2/5, 3, 7 Suppose -p**4 - 44*p**3 - 391*p**2 - 924*p = 0. What is p? -33, -7, -4, 0 Solve 2*a**4/7 + 12*a**3/7 + 16*a**2/7 - 12*a/7 - 18/7 = 0 for a. -3, -1, 1 Find i, given that -96*i**3/7 + 264*i**2/7 - 192*i/7 + 6 = 0. 1/2, 7/4 Determine y so that -y**5 - 68*y**4 - 66*y**3 + 68*y**2 + 67*y = 0. -67, -1, 0, 1 Factor z**3/5 + 42*z**2/5 + 371*z/5 + 186. (z + 5)*(z + 6)*(z + 31)/5 Factor -4*u**3 - 596*u**2 - 21900*u + 22500. -4*(u - 1)*(u + 75)**2 Factor 234*g**2 + 237*g + 3. 3*(g + 1)*(78*g + 1) Factor 2*c**4 + 21*c**3/2 + 37*c**2/2 + 12*c + 2. (c + 1)*(c + 2)**2*(4*c + 1)/2 Determine m, given that -m**5 + 12*m**4 + 117*m**3 - 148*m**2 - 252*m = 0. -7, -1, 0, 2, 18 Let -2*u**5/7 - 150*u**4/7 - 3592*u**3/7 - 3328*u**2 + 97344*u/7 - 70304/7 = 0. What is u? -26, 1, 2 Solve -24*i**2 + 316*i - 336 = 0. 7/6, 12 Factor i**2/4 + 5*i/2 + 21/4. (i + 3)*(i + 7)/4 Solve m**4/2 - 13*m**3/2 + 20*m**2 - 18*m = 0 for m. 0, 2, 9 Find u such that -3*u**2 + 993*u - 990 = 0. 1, 330 Let -f**5/4 - f**4 + 27*f**3/4 - 19*f**2/2 + 4*f = 0. What is f? -8, 0, 1, 2 Find t such that -4*t**3 - 78*t**2 - 36*t + 38 = 0. -19, -1, 1/2 Factor -5*f**2 + 140*f + 2400. -5*(f - 40)*(f + 12) Let -3*n**2/2 + 1257*n/2 - 2490 = 0. What is n? 4, 415 Solve v**2 - 4*v + 4 = 0. 2 Factor -5*f**3 - 100*f**2 - 185*f - 90. -5*(f + 1)**2*(f + 18) Factor 4*u**4 - 88*u**3 - 624*u**2 - 1312*u - 896. 4*(u - 28)*(u + 2)**3 Factor -q**5/4 + q**4 - 3*q**3/4. -q**3*(q - 3)*(q - 1)/4 Factor -2*f**4 + 122*f**3 + 378*f**2 + 382*f + 128. -2*(f - 64)*(f + 1)**3 Factor -v**3/10 + 577*v**2/5 - 165886*v/5 - 334084/5. -(v - 578)**2*(v + 2)/10 Find n, given that 10*n**2 - 85*n - 45 = 0. -1/2, 9 Find w, given that 5*w**3 + 275*w**2 + 1180*w - 3500 = 0. -50, -7, 2 Determine s so that -s**4/2 - 31*s**3/2 + 16*s**2 = 0. -32, 0, 1 Factor 4*w**2 + 132*w + 464. 4*(w + 4)*(w + 29) Suppose r**2/3 - 41*r/3 - 14 = 0. What is r? -1, 42 Factor a**2 + 29*a - 30. (a - 1)*(a + 30) Factor a**3 - 50*a**2 + 96*a. a*(a - 48)*(a - 2) What is m in -3*m**5 - 138*m**4 - 2070*m**3 - 11220*m**2 - 10527*m + 23958 = 0? -22, -11, -3, 1 Suppose 2*g**3/3 + 864*g**2 - 2594*g/3 = 0. What is g? -1297, 0, 1 Suppose 2*o**5/15 - 4*o**4/3 + 2*o**3/3 + 16*o**2/3 - 24*o/5 = 0. What is o? -2, 0, 1, 2, 9 Solve -4*u**4 - 508*u**3 + 1112*u**2 + 10416*u + 12384 = 0. -129, -2, 6 Let 2*v**4 + 224*v**3 - 690*v**2 + 8*v + 920 = 0. Calculate v. -115, -1, 2 Factor -t**3/6 - 11*t**2/3 - 51*t/2 - 54. -(t + 4)*(t + 9)**2/6 What is f in 3*f**5 + 27*f**4 + 69*f**3 + 33*f**2 - 72*f - 60 = 0? -5, -2, -1, 1 Factor -28*k**5 - 2372*k**4 + 680*k**3. -4*k**3*(k + 85)*(7*k - 2) What is i in -2*i**2 + 10716*i - 14354082 = 0? 2679 Factor -3*f**4 - 18*f**3 + 162*f + 243. -3*(f - 3)*(f + 3)**3 Factor -3*g**3 - 51*g**2 - 213*g - 165. -3*(g + 1)*(g + 5)*(g + 11) Factor -2*u**2/3 - 46*u + 284/3. -2*(u - 2)*(u + 71)/3 Let f**4 - 11*f**3 + 26*f**2 + 44*f - 120 = 0. What is f? -2, 2, 5, 6 Factor -w**2/4 - 1903*w/4 + 476. -(w - 1)*(w + 1904)/4 Factor v**4/11 + 365*v**3/11 + 33123*v**2/11 - 33489*v/11. v*(v - 1)*(v + 183)**2/11 What is h in -h**5/5 - 9*h**4/5 + 62*h**3/5 - 108*h**2/5 + 56*h/5 = 0? -14, 0
{ "pile_set_name": "DM Mathematics" }
-p - 1. Let u(r) = -i(r) + 5*t(r). Give k(u(v)). -9*v Let g(s) = 2*s + 2*s - 2*s. Let y(r) = -r**2 + 1. Let v(w) = -w**2 + 4. Let h(f) = -v(f) + 4*y(f). Calculate h(g(b)). -12*b**2 Let x(c) = 113*c**2 + 41. Let l(t) = -t**2. Give x(l(i)). 113*i**4 + 41 Let l(g) = -165*g**2. Let d(o) = 5*o**2. Calculate l(d(b)). -4125*b**4 Let l(h) be the third derivative of 0*h**3 - 1/20*h**5 + 0*h + 0*h**4 + 0 - 5*h**2. Let q(y) = y**2. Give l(q(r)). -3*r**4 Let z(u) be the first derivative of -6*u**2 + 15. Let x(h) = 2*h**2. Calculate z(x(j)). -24*j**2 Let v(s) = 2*s. Suppose 0 = -t, -z + 5*z + 4 = 5*t. Let f = 4 + z. Let d(q) = 2*q**2 - 2 + f - 1. What is v(d(r))? 4*r**2 Let q(o) = 2*o. Let t(u) = 56504*u**2. Determine q(t(d)). 113008*d**2 Let q(a) = 2*a. Let z(j) = 5*j - 6. Let n(l) = -17*l - 65 + 8*l + 28*l + 36*l. Let d(p) = -6*n(p) + 65*z(p). What is d(q(u))? -10*u Let c(h) = -6*h. Let b(l) = 20*l - 1. Determine c(b(v)). -120*v + 6 Let u(x) = 36*x. Let k(f) = 2*f**2. Determine k(u(z)). 2592*z**2 Let s(j) be the third derivative of j**5/60 + 13*j**2. Let h(t) = -2*t. Give s(h(o)). 4*o**2 Let o(x) = 305*x. Let r(j) = 4*j. Give o(r(m)). 1220*m Let n(j) = j**3 + 17*j**2 + 30*j + 3. Let w be n(-15). Let o(y) be the second derivative of y + 0*y**2 + 0*y**w + 1/3*y**4 + 0. Let i(l) = -3*l. Give i(o(p)). -12*p**2 Let x(v) = -2*v. Let o(a) be the second derivative of -a**3 + 12*a. Give o(x(u)). 12*u Let u(j) be the second derivative of j + 0*j**3 - 1/4*j**4 + 0*j**2 + 0. Let z(h) be the first derivative of h**2 + 14. What is u(z(i))? -12*i**2 Let l(o) = -6*o. Let p(g) be the third derivative of -g**4/6 + 27*g**2. Give l(p(a)). 24*a Let f(s) be the second derivative of s**3/6 - 11*s. Let z(n) = -2*n. Give z(f(d)). -2*d Let z(g) = -2528*g + 2. Let l(w) = 2*w. Give l(z(y)). -5056*y + 4 Let c(y) = -y. Let q(j) = 482*j**2. Calculate q(c(a)). 482*a**2 Let w(o) = -145*o**2 - 3*o. Let q(z) = z. What is w(q(h))? -145*h**2 - 3*h Let k(r) = 4*r**2. Let b be (-12)/30 - (-27)/5. Let c(s) = b - 5 - 2*s**2. Give c(k(y)). -32*y**4 Let v(b) = 63*b. Let m(u) = 156*u**2. Calculate m(v(n)). 619164*n**2 Let h(u) be the first derivative of -u**3/3 - 1. Let z(s) = -s + 4. Let d be z(-2). Let p(x) = d*x**2 - 33*x + 33*x. What is p(h(g))? 6*g**4 Let r(b) = 5*b**2. Let h(g) be the second derivative of g**3/3 - 2*g. Give h(r(j)). 10*j**2 Let z(m) = 28*m**2. Let y(i) = 27*i. Calculate z(y(c)). 20412*c**2 Let m(z) = 2*z - 7. Let o be m(5). Let d(i) = o*i + 0*i - i. Let a(v) be the second derivative of -v**4/12 - 47*v. Give d(a(t)). -2*t**2 Let n(o) = -o. Let g(j) be the third derivative of 0*j**3 - j**2 + 0*j - 1/12*j**4 + 0. Calculate n(g(i)). 2*i Let b(t) = -7*t. Let o(u) = 3*u + 69. Determine b(o(m)). -21*m - 483 Let d(k) = -3*k. Let n(r) = r. Let a(b) = 2*b**2 - 12*b. Let s = 12 + -24. Let x(y) = s*n(y) - a(y). Calculate x(d(i)). -18*i**2 Let v(w) = -w**2. Let s = -5 - -7. Let f(q) = 0*q**2 + 2*q**2 - s*q**2 + 4*q**2. What is f(v(h))? 4*h**4 Let o(c) = -144*c**2. Let h(d) = 6*d. Determine h(o(g)). -864*g**2 Let z(k) = -19*k. Let t(h) = -2*h + 6*h + 2*h - 5*h. Give t(z(v)). -19*v Suppose -4*z + 12 = -0*z. Let p(s) = s**2 - z*s**2 + 0*s**2. Let w(c) = -c**2 + 2*c. Let l(j) = -j**2 - j. Let b(n) = -2*l(n) - w(n). Determine b(p(m)). 12*m**4 Let q(h) = -88*h**2. Let d(i) = -i**2. What is d(q(g))? -7744*g**4 Let w be (-6)/51 - (243/102 - 3). Let s(i) be the first derivative of -2 + 0*i - w*i**2. Let u(p) = -p**2. What is u(s(a))? -a**2 Let i(u) = 2*u**2. Let o(k) = -3*k**2. Let c(v) = 0*v**2 - v**2 + 3*v**2. Let h(s) = 5*c(s) + 3*o(s). Give i(h(d)). 2*d**4 Let b = -9 + 14. Let w(n) = 3*n - 5. Let d(o) = -6*o + 10. Let q be d(4). Let z(s) = 8*s - 14. Let g(i) = b*z(i) + q*w(i). Let k(l) = 3*l**2. Determine g(k(v)). -6*v**2 Let u(b) = -6*b. Let l(x) = 19*x - 1. Calculate l(u(v)). -114*v - 1 Let h(p) = 2*p. Let f(n) be the second derivative of 4*n**3/3 - 40*n. Calculate h(f(t)). 16*t Let h(u) = -3*u**2 + 3*u + 3. Let d(o) = -o - 1. Let g(c) = 3*d(c) + h(c). Let p(x) = 3*x. Calculate g(p(v)). -27*v**2 Let w(q) = -107*q**2. Let x(g) = -54*g**2. Calculate x(w(d)). -618246*d**4 Let k(l) = l - 2. Let r(d) = 12*d. Calculate r(k(o)). 12*o - 24 Suppose 3*j = -2*s + 57, 5*j - s - 95 = -0*s. Let z be j/7 + (-4)/(-14). Let k(d) = z - 3 - 2*d - 2*d. Let r(o) = 2*o**2. What is r(k(h))? 32*h**2 Let x(z) be the second derivative of 0*z**2 - 1/6*z**3 - 4*z + 0. Let v(g) = 4*g. Give v(x(c)). -4*c Let b(l) = 11*l**2. Let q(u) = 13*u. Calculate q(b(w)). 143*w**2 Let l(y) be the first derivative of 0*y**2 - 4/3*y**3 + 0*y + 8. Let x(h) = h. Give l(x(u)). -4*u**2 Let n(z) be the first derivative of -11*z**4/12 - 5*z - 7. Let t(i) be the first derivative of n(i). Let a(s) = -s**2. Give t(a(v)). -11*v**4 Let y(d) = 567 - 279 + d**2 - 288. Let w(s) = -132*s**2. Determine w(y(p)). -132*p**4 Let b(k) = -4*k**2 - 2. Let g(l) = -2*l**2 - 1. Let a(v) = -6*b(v) + 13*g(v). Let c(o) be the first derivative of a(o). Let d(n) = 2*n**2. Calculate c(d(s)). -8*s**2 Let m(d) = 3*d**2 - 17*d. Let f(g) = g**2. Determine m(f(x)). 3*x**4 - 17*x**2 Let b(y) = 0*y - y**2 + 0*y. Let x(k) be the second derivative of -k**4/12 + 2*k**2 - k. Let o(s) be the first derivative of x(s). What is b(o(m))? -4*m**2 Let g(f) be the third derivative of f**4/4 + f**3 + 13*f**2. Let o(c) = 2*c**2. Calculate g(o(t)). 12*t**2 + 6 Let k(r) = -6*r - 14. Let t(u) = -22*u**2 + u. Calculate k(t(f)). 132*f**2 - 6*f - 14 Let t = 6 + -4. Let l(q) = 0*q**2 + q**2 + q**t - q**2. Let a(i) = 12*i + 4*i**2 - 12*i. Give l(a(g)). 16*g**4 Let s(b) = 4*b + 3. Let j(u) = -11*u - 8. Let m(k) = -3*j(k) - 8*s(k). Let x(n) be the third derivative of 5*n**4/24 - 2*n**2. Determine m(x(o)). 5*o Let b(x) = -27*x - 2. Let p(v) = -3*v + 15. What is p(b(c))? 81*c + 21 Let t(u) = -4*u**2. Let o(n) = 5*n**2 - 9*n - 9. Let v(q) = -q**2 + 2*q + 2. Let h(m) = 2*o(m) + 9*v(m). Calculate t(h(x)). -4*x**4 Let u(l) be the third derivative of -l**4/24 - 2*l**2. Let m(v) be the first derivative of 1/2*v**2 + 2 + 0*v. Give u(m(p)). -p Let o(d) be the third derivative of d**4/6 - 14*d**2. Let s(p) = -p**2. Calculate s(o(w)). -16*w**2 Let u(q) = 2*q**2. Let l be 9/4 + 2/(-8). Let c(p) = -p**2 + 0*p**l - p**2 - 2*p**2. What is c(u(b))? -16*b**4 Let m(l) be the third derivative of l**4/24 - 4*l**2. Let g(k) be the third derivative of k**4/12 - k**2. Calculate m(g(y)). 2*y Let n(j) = 2*j. Let g = 56 - 38. Let c(l) = 14 - 11 - g*l**2 - 3. Calculate c(n(p)). -72*p**2 Let b(q) = -q**2. Let a(g) be the second derivative of g**5/10 + 2*g**2 - 5*g. Let p(s) be the first derivative of a(s). Give b(p(n)). -36*n**4 Let c(l) = -l**2. Let w = -17 - -35. Let t(r) = -w - 2*r + 6*r + 18. What is t(c(f))? -4*f**2 Let w(k) = 2*k. Let f(u) = -11*u**2 - 6*u - 12. Let b(d) = -d**2 - d - 1. Let q(g) = -6*b(g) + f(g). What is q(w(j))? -20*j**2 - 6 Let l be ((-5)/(-10))/(2/12). Let c(i) = -i. Let r(b) = -2*b. Let h(p) = l*c(p) - r(p). Let f(y) = -5*y**2. What is f(h(j))? -5*j**2 Let t(f) = 3*f**2 - 12*f. Let l(g) = -4*g**2. Determine l(t(q)). -36*q**4 + 288*q**3 - 576*q**2 Let p(s) be the second derivative of -s**7/1260 + s**4/12 - 6*s. Let g(u) be the third derivative of p(u). Let z(h) = -2*h + 8*h + 0*h. Calculate z(g(o)). -12*o**2 Let l(o) be the second derivative of -5*o**4/12 - 5*o. Let f(x) = 4*x. What is f(l(z))? -20*z**2 Let m(x) = -2*x. Let h(j) be the third derivative of 19*j**4/24 + 2*j**2. Determine m(h(z)). -38*z Let s(k) = k - 17 + 11 + 6. Let c(u) = -u**2. Calculate c(s(b)). -b**2 Let z(o) be the first derivative of -3/2*o**2 - 4 + 0*o. Let g(n) = 3 - 3 - 3*n**2. Give z(g(r)). 9*r**2 Let l(s) be the first derivative of 3*s**2/2 + 20. Let f(b) = 21*b. What is l(f(o))? 63*o Let q(a) = -a**2 - 2*a - 105. Let g(k) = 3*k. What is g(q(h))? -3*h**2 - 6*h - 315 Let k(l) = -l. Let i(p) be the third derivative of -3*p**5/10 - 15*p**2. Determine k(i(a)). 18*a**2 Let u(f) = 24*f**2. Let b(i) be the third derivative of -i**4/24 + i**2. What is u(b(j))? 24*j**2 Let m(p) = -p - 1. Suppose -3 = 3*t - 15. Let y(s) = 3*s + 2. Let w(a) = t*m(a) + 2*y(a). Let q(i) = 3*i + 0*i - i. Determine w(q(k)). 4*k Let r be (1 + 2)*(-8)/(-12). Let n(o) = o**r - 2*o + 2*o. Let m(g) be the third derivative of -g**4/12 + 2*g**2. What is
{ "pile_set_name": "DM Mathematics" }
erivative of -102884630*k**5 + 28455097*k**2. -6173077800*k**2 What is the first derivative of -475368*f**2 + f + 52343798 wrt f? -950736*f + 1 Find the third derivative of 6509*u**4 + 8873*u**3 + 122888616*u**2. 156216*u + 53238 Find the first derivative of 264*h**4 - 4882*h**2 - 68064379 wrt h. 1056*h**3 - 9764*h Find the third derivative of 18656558*n**4 + 14*n**2 - 177*n - 58. 447757392*n What is the first derivative of 110874503*s**4*u**2 - 175276273*u**2 wrt s? 443498012*s**3*u**2 What is the second derivative of -517235088*w**2 + 9641*w + 20607 wrt w? -1034470176 What is the third derivative of -4*f*p*w + 363*f*p + 2*f*w**4 + 23*f - 578*p*w**3 - p*w**2 - 668*w**6 wrt w? 48*f*w - 3468*p - 80160*w**3 Find the third derivative of -6566*v**2*w**3 - 530*v**2 + v*w**2 - 605*v + 727*w**3 + 5 wrt w. -39396*v**2 + 4362 Find the second derivative of -u**2*x**2 - 73975082*u**2*x + 1657*u*x**2 + 4864*x**2 - x wrt x. -2*u**2 + 3314*u + 9728 Find the first derivative of 117782479*i*r + 107795909*i + 2 wrt r. 117782479*i Differentiate -4176048*j**4*y + 2*j**2*y**3 + y**3 - 1659600*y wrt j. -16704192*j**3*y + 4*j*y**3 Differentiate -23371225*g**2 - 697952493. -46742450*g What is the third derivative of -77816*i**3*o**3 + 67*i**3*q*w**2 - 1892*i**2*o**3*w**2 - i**2*w - 86*o**2*q*w**2 - 4*q*w wrt i? -466896*o**3 + 402*q*w**2 What is the derivative of 31504714*y**4 + 3*y**3 - 28542317? 126018856*y**3 + 9*y**2 What is the derivative of 3*j**4 + 18*j**3 + 650*j**2 - 4*j - 25887680 wrt j? 12*j**3 + 54*j**2 + 1300*j - 4 Differentiate 60171316*f**2 + 30179929 with respect to f. 120342632*f What is the third derivative of -8017336*k**3 - 1609766*k**2 wrt k? -48104016 Find the first derivative of 12296454*b*y + 12423959*b wrt y. 12296454*b Find the second derivative of 2396578*a**2*m - 2*a**2 - 207*a*m + 7249*m - 2 wrt a. 4793156*m - 4 What is the second derivative of -107790069*b**2 - b + 31305131 wrt b? -215580138 Differentiate 585953409*b**2 + 449816576 wrt b. 1171906818*b What is the first derivative of -j**4 - 2*j**3 + 25146*j + 28468348? -4*j**3 - 6*j**2 + 25146 Differentiate 20358897*p**3 + 4795808 wrt p. 61076691*p**2 What is the first derivative of k**2*r - 261*k**2 + k*r**2 - 19*k*r - 18440151*r**2 wrt k? 2*k*r - 522*k + r**2 - 19*r Find the third derivative of 1276*c**2*d**3 + 2*c**2*d**2 + c**2 + 917*c*d**6 + 106*c*d**2 + 10*d**2 + 6 wrt d. 7656*c**2 + 110040*c*d**3 Find the second derivative of 140*p**2*r**2 + 3*p**2*r + 66761*p*r**2 - 438849*p*r + r**2 wrt r. 280*p**2 + 133522*p + 2 Find the second derivative of 2*h**2*r**3 - 2*h**2*r**2 - 11871968*h**2*r - 12*h*r**3 + 32463*h*r**2 + h*r - 6*r**3 - 12 wrt h. 4*r**3 - 4*r**2 - 23743936*r What is the derivative of -25920386*g + 11267245? -25920386 What is the derivative of -500431*g*s**3*y + 5*g*s - 3*s**3 - 324*s**2*y - 6*s*y + 18*s wrt g? -500431*s**3*y + 5*s Find the first derivative of 1322715*k**3 + k**2 - 16818493. 3968145*k**2 + 2*k What is the derivative of -210180560*f - 74790175 wrt f? -210180560 Find the third derivative of 7856610*f**4 + 2*f**3 + 2*f**2 + 3*f + 20150. 188558640*f + 12 Find the second derivative of 238*i**3*k**2*v**2 - 158393*i**3*k - 6408*i*k**2*v**2 + 7*i*k**2*v - 100*i*k*v**2 wrt i. 1428*i*k**2*v**2 - 950358*i*k Find the second derivative of -5965*u**5 + 294*u**2 + 11281714*u. -119300*u**3 + 588 Differentiate -3*t**4 - 16897031*t**3 - 43117825. -12*t**3 - 50691093*t**2 What is the first derivative of -156129*f*v - 24941999*f + 273*v wrt v? -156129*f + 273 Find the first derivative of -56935*s**2 + 388*s - 4225030. -113870*s + 388 What is the second derivative of 107187292*c**2*k - 4646*c*k + 1060*c - 2*k - 1 wrt c? 214374584*k Find the first derivative of 385200*l - 15008835. 385200 Find the second derivative of 11*d**3*g**2 - 62796*d**3*g - 4273231*d**2*g**2 - 8*d**2 - 44 wrt g. 22*d**3 - 8546462*d**2 What is the derivative of 139*z**3 + 5048*z + 9585465? 417*z**2 + 5048 What is the first derivative of 79*c**4*x**3 + 29190*c*x**3 + x**3 + 102779*x**2 + 12*x - 2 wrt c? 316*c**3*x**3 + 29190*x**3 Find the third derivative of 8623*a**3*b**3 + a**3*b**2*v - 13*a**2*b**2 + 157*a*b**3*v**2 - 7*a*b**2*v - a*v**2 + 38*b**2*v**2 - 2*v**2 wrt b. 51738*a**3 + 942*a*v**2 What is the first derivative of 544983157*j**3 + 548660231 wrt j? 1634949471*j**2 Find the first derivative of -37886058*q - 415852458. -37886058 Find the third derivative of 1189080756*z**4 + 1475*z**2 + 3426*z + 1. 28537938144*z What is the second derivative of 800033303*d**3 + 491259056*d wrt d? 4800199818*d What is the derivative of 60710060*q**4 - 102790751? 242840240*q**3 What is the third derivative of 260*g**5 + g**4 + 178618*g**3 + 19400405*g**2 + g + 7? 15600*g**2 + 24*g + 1071708 Find the second derivative of -44*x**5 - 22*x**4 - 663*x**3 - 99415*x - 13. -880*x**3 - 264*x**2 - 3978*x Find the second derivative of 13077296*j**3 + 137*j + 25453 wrt j. 78463776*j What is the first derivative of -23346106*d**4 - 6486369 wrt d? -93384424*d**3 What is the second derivative of 1264378984*i**2 - 989830255*i wrt i? 2528757968 What is the derivative of -1183543302*c - 645281778 wrt c? -1183543302 Find the second derivative of -97838629*j**2 + 123640295*j wrt j. -195677258 What is the second derivative of -110126104*v**3 - 605330600*v? -660756624*v Find the third derivative of -40161859*h**4 - 151*h**2 - h - 1146 wrt h. -963884616*h What is the third derivative of -300*c**2*f**3 - 1708*c**2*f**2 - 3*c**2*f - 4*c**2 - 4817*c*f**3 + 10*f**2 wrt f? -1800*c**2 - 28902*c What is the second derivative of -21527*f**4 - 630*f**3 - f**2 + 8618*f + 4098 wrt f? -258324*f**2 - 3780*f - 2 What is the third derivative of -151243829*r**5 - 598929239*r**2? -9074629740*r**2 What is the second derivative of 2*d**3*o**5 + 7276996*d**3 - 1579342*d*o**5 + 2*d*o wrt o? 40*d**3*o**3 - 31586840*d*o**3 What is the second derivative of 182344646*h**3*x**2 + 32*h**3*x - 792*h**3 + x wrt x? 364689292*h**3 What is the third derivative of 56*g**5 + 252*g**4 - 92*g**3 + 42382848*g**2 wrt g? 3360*g**2 + 6048*g - 552 What is the third derivative of 279*f**3*p**2 - 72*f**3*p + 69*f**3 + 2*f**2*p - 11708045*f*p**2 wrt f? 1674*p**2 - 432*p + 414 Find the second derivative of -19447384*b**4 - 9305517*b wrt b. -233368608*b**2 What is the second derivative of 124559*d**3*j**3 + 123*d**3*j**2 - 90935600*d*j**3 wrt d? 747354*d*j**3 + 738*d*j**2 Find the second derivative of 1698231*c**5*h**2 + c**2*h**3 + 159*c*h**3 + 21*c*h + 2*h**3 + 2*h**2 - 4*h wrt c. 33964620*c**3*h**2 + 2*h**3 What is the second derivative of 770765*u**3 + 231*u**2 - 475416425*u? 4624590*u + 462 What is the derivative of -3142768*f**4 + 9317590 wrt f? -12571072*f**3 Differentiate 3*a**3*i*t + 2*a**3*t + a*t**2 - 5455691*i*t**2 + t**2 + 23*t - 1513 with respect to i. 3*a**3*t - 5455691*t**2 What is the second derivative of -8794116*q**2 - 301256*q - 19 wrt q? -17588232 Find the first derivative of -108*k**2 + 10329*k + 169262216 wrt k. -216*k + 10329 What is the third derivative of -4242855*c*s**3 - 4104830*c*s**2 wrt s? -25457130*c Find the third derivative of 29*g**4 + 1418879*g**3*o**3 - 2*g**2*o**3 + 2*g*o**3 - 52*g + 210*o**3 - 2*o - 2 wrt g. 696*g + 8513274*o**3 Find the third derivative of -23490034*f**6 - 22940*f**2 + 111. -2818804080*f**3 What is the third derivative of -436695898*s**4 + 73165647*s**2 - 2? -10480701552*s Find the second derivative of -7735155*w**3 + 14182088*w. -46410930*w Differentiate -9626060*u**2 + 11695360. -19252120*u Find the third derivative of -28*n**5 - 279978*n**3 - 24051461*n**2. -1680*n**2 - 1679868 Differentiate -18232849*s**2 - 22581234 with respect to s. -36465698*s Find the third derivative of -2*q**4*y - 3*q**4 - 2*q**3*y - 21663*q**3 - 43*q**2 - 21*q*y - q - 302*y - 3 wrt q. -48*q*y - 72*q - 12*y - 129978 What is the third derivative of -447*q*s**3*y**2 - 2*q*s**2 + 4*q*s*y**2 + 13*q*s + 2*q*y**2 - 8240*q*y - 397561*s**3*y - 2*y**2 + 4 wrt s? -2682*q*y**2 - 2385366*y What is the second derivative of -3*d**3*j + 1352578*d**3 + 3*d**2*j + 14*d*j + 78*d + 205*j - 23 wrt d? -18*d*j + 8115468*d + 6*j Differentiate 5*z**3 + 871646*z**2 + 20983436 wrt z. 15*z**2 + 1743292*z Find the first derivative of 5*i**2 - 7746*i - 829856 wrt i. 10*i -
{ "pile_set_name": "DM Mathematics" }
nd 2? 1 Calculate the greatest common divisor of 9 and 144. 9 What is the highest common factor of 87 and 203? 29 What is the greatest common divisor of 8 and 64? 8 What is the greatest common divisor of 200 and 31500? 100 What is the greatest common factor of 33 and 44? 11 What is the greatest common divisor of 450 and 400? 50 What is the greatest common factor of 53 and 2014? 53 What is the greatest common divisor of 620 and 220? 20 What is the highest common factor of 190 and 38? 38 Calculate the greatest common factor of 36 and 81. 9 Calculate the greatest common factor of 17533 and 394. 197 What is the greatest common divisor of 138 and 10? 2 What is the highest common factor of 3575 and 22? 11 Calculate the highest common divisor of 171 and 63. 9 Calculate the highest common divisor of 165 and 187. 11 What is the highest common factor of 183 and 122? 61 Calculate the highest common divisor of 351 and 52. 13 Calculate the greatest common divisor of 78 and 117. 39 What is the greatest common factor of 14 and 322? 14 What is the greatest common factor of 81 and 837? 27 Calculate the greatest common factor of 30 and 840. 30 What is the highest common divisor of 224 and 14? 14 Calculate the highest common divisor of 138 and 6. 6 Calculate the highest common divisor of 6355 and 248. 31 Calculate the greatest common divisor of 76 and 19. 19 What is the greatest common factor of 207 and 72? 9 What is the highest common divisor of 40 and 8? 8 What is the highest common divisor of 8 and 37? 1 Calculate the highest common factor of 96 and 168. 24 Calculate the highest common divisor of 16 and 130. 2 Calculate the greatest common factor of 1257 and 63. 3 Calculate the greatest common divisor of 9 and 1179. 9 Calculate the greatest common factor of 184 and 2254. 46 Calculate the greatest common factor of 20 and 390. 10 What is the highest common factor of 67 and 14137? 67 What is the greatest common factor of 837 and 62? 31 What is the highest common divisor of 14 and 889? 7 Calculate the highest common divisor of 15588 and 36. 36 What is the highest common factor of 75 and 321? 3 Calculate the greatest common factor of 2842 and 2. 2 What is the highest common factor of 114 and 402? 6 What is the greatest common factor of 49 and 4067? 49 What is the highest common factor of 9 and 1251? 9 What is the highest common factor of 245 and 25? 5 What is the greatest common factor of 102 and 68? 34 Calculate the highest common factor of 234 and 18. 18 What is the highest common factor of 442 and 104? 26 What is the greatest common factor of 3180 and 159? 159 Calculate the highest common divisor of 21 and 616. 7 Calculate the highest common factor of 119 and 14. 7 Calculate the greatest common divisor of 2600 and 24. 8 Calculate the highest common factor of 427 and 63. 7 What is the greatest common divisor of 10 and 1030? 10 What is the highest common factor of 54 and 34? 2 What is the highest common divisor of 145 and 10? 5 What is the highest common factor of 23 and 437? 23 Calculate the greatest common factor of 801 and 5429. 89 Calculate the highest common divisor of 312 and 472. 8 What is the greatest common divisor of 252 and 27? 9 What is the greatest common divisor of 135 and 108? 27 Calculate the highest common factor of 33 and 528. 33 What is the greatest common factor of 20 and 1220? 20 What is the greatest common divisor of 33 and 165? 33 What is the highest common factor of 26 and 221? 13 Calculate the highest common divisor of 560 and 17584. 112 What is the highest common factor of 56200 and 8? 8 What is the highest common divisor of 319 and 348? 29 Calculate the highest common divisor of 133 and 21. 7 What is the greatest common factor of 1610 and 70? 70 Calculate the highest common divisor of 129 and 1376. 43 Calculate the greatest common factor of 165 and 2640. 165 What is the greatest common factor of 78 and 26? 26 What is the greatest common divisor of 6 and 768? 6 What is the greatest common factor of 56 and 119? 7 Calculate the greatest common factor of 407 and 22. 11 Calculate the highest common factor of 460 and 1220. 20 What is the highest common factor of 100 and 1900? 100 Calculate the greatest common divisor of 36 and 11916. 36 Calculate the greatest common divisor of 612 and 7140. 204 What is the greatest common divisor of 99 and 1221? 33 Calculate the highest common divisor of 36 and 654. 6 Calculate the greatest common divisor of 11 and 10109. 11 Calculate the greatest common divisor of 15 and 170. 5 What is the greatest common divisor of 143 and 59917? 143 What is the highest common divisor of 180 and 12330? 90 What is the greatest common divisor of 224 and 32? 32 Calculate the greatest common factor of 168 and 287. 7 What is the greatest common divisor of 8 and 22664? 8 Calculate the highest common factor of 119 and 17. 17 What is the greatest common divisor of 5 and 313? 1 What is the greatest common divisor of 3240 and 15? 15 Calculate the greatest common divisor of 12 and 402. 6 What is the highest common divisor of 36 and 12348? 36 Calculate the greatest common divisor of 424 and 272. 8 Calculate the greatest common factor of 34 and 221. 17 What is the highest common factor of 38 and 589? 19 Calculate the highest common factor of 38 and 12046. 38 Calculate the greatest common divisor of 4 and 26. 2 Calculate the highest common factor of 18 and 18. 18 What is the greatest common factor of 57 and 399? 57 What is the highest common divisor of 756 and 216? 108 What is the highest common factor of 123 and 2501? 41 Calculate the greatest common divisor of 228 and 336. 12 What is the greatest common factor of 11 and 979? 11 Calculate the highest common factor of 1500 and 60. 60 What is the greatest common divisor of 1127 and 874? 23 Calculate the greatest common factor of 704 and 2156. 44 Calculate the greatest common divisor of 1062 and 236. 118 What is the greatest common factor of 13 and 3874? 13 What is the highest common factor of 1128 and 96? 24 What is the greatest common divisor of 72 and 13050? 18 Calculate the greatest common factor of 27 and 174. 3 Calculate the highest common divisor of 6727 and 217. 217 What is the greatest common divisor of 70 and 350? 70 Calculate the highest common factor of 210 and 770. 70 Calculate the highest common factor of 24224 and 64. 32 What is the highest common divisor of 78 and 42? 6 What is the greatest common factor of 440 and 22? 22 What is the highest common divisor of 11061 and 9? 9 What is the greatest common factor of 99 and 5148? 99 What is the greatest common divisor of 660 and 264? 132 What is the highest common divisor of 2015 and 65? 65 What is the highest common factor of 57 and 2451? 57 Calculate the greatest common divisor of 10387 and 47. 47 What is the greatest common divisor of 405 and 10? 5 What is the greatest common factor of 23 and 9568? 23 What is the highest common divisor of 472 and 24? 8 What is the greatest common factor of 32 and 2016? 32 What is the highest common factor of 133 and 76? 19 What is the highest common divisor of 92 and 3818? 46 What is the highest common divisor of 380 and 2508? 76 Calculate the highest common divisor of 36 and 7164. 36 Calculate the highest common divisor of 28 and 6244. 28 What is the highest common divisor of 18 and 3834? 18 Calculate the greatest common divisor of 9 and 12753. 9 What is the highest common divisor of 645 and 860? 215 What is the highest common divisor of 54 and 1242? 54 What is the greatest common factor of 50 and 5325? 25 Calculate the greatest common divisor of 1 and 239. 1 Calculate the highest common factor of 486 and 162. 162 What is the greatest common divisor of 3692 and 52? 52 What is the greatest common factor of 25 and 45? 5 What is the highest common divisor of 258 and 6? 6 Calculate the highest common factor of 63 and 5607. 63 What is the greatest common divisor of 3066 and 1134? 42 Calculate the highest common factor of 6 and 12. 6 What is the highest common factor of 231 and 287? 7 What is the highest common factor of 90 and 24? 6 Calculate the greatest common factor of 375 and 3600. 75 What is the highest common divisor of 448 and 4? 4 Calculate the greatest common factor of 16 and 424. 8
{ "pile_set_name": "DM Mathematics" }
24*k Let j(y) be the second derivative of 5*y**3/6 - 2*y**2 + y. Differentiate j(i) wrt i. 5 Let q(b) = -14*b**4 - 5*b**3 - 14*b. Let h(c) = -238*c**4 - 84*c**3 - 238*c. Let g(v) = -5*h(v) + 84*q(v). What is the second derivative of g(p) wrt p? 168*p**2 What is the second derivative of 9*o**2 + 17*o**2 + 38*o - 81*o wrt o? 52 Differentiate -8 + 1 + 5*c - 9*c wrt c. -4 Find the second derivative of -6*c + 111*c**4 - 59*c**4 - 14*c - 66*c**4 wrt c. -168*c**2 Let k(f) = f. Let r(y) = 19*y - 11. Let n(v) = -6*k(v) - r(v). Differentiate n(s) with respect to s. -25 Let q(l) be the second derivative of 0*l**4 + 0 + 0*l**5 + 1/10*l**6 - 1/2*l**3 + 0*l**2 + l. Find the second derivative of q(a) wrt a. 36*a**2 Let g be 50/15 + (-2)/6. Let j(s) = -1. Let n(o) = 6*o**2 + 3*o - 3. Let a(x) = g*j(x) - n(x). What is the second derivative of a(i) wrt i? -12 Let t(m) = 14*m**3 - 3*m**2 + 2. Let j(c) = 13*c**3 - 2*c**2 + 3. Let v(q) = 3*j(q) - 2*t(q). What is the first derivative of v(l) wrt l? 33*l**2 What is the second derivative of -185*x**2 - 10*x - 11*x**3 + 185*x**2 wrt x? -66*x Let m(y) be the first derivative of -1 + 0*y**3 + 3/2*y**2 + 0*y**4 + 0*y - y**5. Find the second derivative of m(x) wrt x. -60*x**2 Differentiate -6 - 144*f**3 + 278*f**3 - 150*f**3 with respect to f. -48*f**2 Let s(g) be the second derivative of -g**6/15 - 5*g**2/2 + 22*g. Differentiate s(u) wrt u. -8*u**3 Suppose 0 = 3*w - 2*i - 16 + 4, 4*i = -2*w + 8. Find the second derivative of -g**w + 24 - 24 + 2*g wrt g. -12*g**2 Let w(s) = 13*s**3 - 7*s + 30. Let m(j) = 4*j**3 - 2*j + 10. Let n(x) = -7*m(x) + 2*w(x). What is the derivative of n(q) wrt q? -6*q**2 Let s(d) = -d**2 + 12*d + 6. Let a be s(12). What is the derivative of 3 - a + 4 - 2*v wrt v? -2 Let t be (-3 + 1)/(1/(-16)). Let u be 4/18 - t/(-18). What is the first derivative of 0 + 2*g**2 - 1 - u wrt g? 4*g Let q(p) = p**2 + 3*p + 4. Let k be q(-3). Differentiate -4*g**k + 6*g**4 - 3 - 3*g**4 wrt g. -4*g**3 Let j(x) be the first derivative of x**9/252 - x**5/20 - 7*x**2/2 + 2. Let b(o) be the second derivative of j(o). What is the third derivative of b(g) wrt g? 240*g**3 Let z(c) be the first derivative of 13*c**6/6 - 2*c**5/5 - c**2/2 + 12*c - 1. Find the second derivative of z(s) wrt s. 260*s**3 - 24*s**2 Find the third derivative of -9*y**2 - 4*y**4 + 4*y**4 - y**4 + 4*y**4 wrt y. 72*y Let w(s) be the third derivative of 2*s**2 + 1/60*s**5 + 0*s + 0*s**3 + 0*s**6 + 0*s**4 + 0 + 1/70*s**7. What is the third derivative of w(u) wrt u? 72*u Let y(m) be the second derivative of 1/21*m**7 + 0 + 0*m**2 - 5*m - 5/6*m**3 + 0*m**6 + 0*m**4 + 0*m**5. Find the second derivative of y(f) wrt f. 40*f**3 What is the second derivative of -12*a**4 + a**4 + 4*a + 6*a wrt a? -132*a**2 Let p = 6 + -4. What is the second derivative of p*r - 7*r + 3*r**5 + 0*r wrt r? 60*r**3 Suppose -4*v + 2*v + 12 = 0. Suppose 0 = 3*s - v*s. What is the second derivative of 0*z + 2*z - 2*z**4 + s*z + 0*z**4 wrt z? -24*z**2 Let u(o) be the second derivative of 0 + 7/6*o**3 + 1/10*o**5 - 5*o + 0*o**4 + 0*o**2. What is the second derivative of u(y) wrt y? 12*y Suppose -22 = -a - 4*w, a + 3 = w - 0*w. Suppose -5*q + a*p = -12, 0 = 5*q + 7*p - 2*p - 5. What is the third derivative of -m**4 + 2*m**q - 3*m + 3*m wrt m? -24*m Let z(f) = 1. Let a(c) be the third derivative of c**4/12 + 13*c**3/6 - 6*c**2. Let w(p) = -a(p) + 6*z(p). Find the first derivative of w(d) wrt d. -2 Let b(o) be the third derivative of 1/70*o**7 - 2*o**2 + 0*o**3 + 0 - 7/60*o**5 + 0*o**6 + 0*o**4 + 0*o. What is the third derivative of b(n) wrt n? 72*n What is the derivative of -2 + 4 + 8*k + 5 - 1 wrt k? 8 Suppose -3 - 13 = -4*p. Suppose p*j + 5*i = 18, -4*j + 2 = -5*j + 2*i. What is the second derivative of 3*r**2 - 2*r**j - 3*r**3 - r**2 - 3*r wrt r? -18*r Find the second derivative of 9*z - 5*z**3 - 3*z**2 + 20*z + 3 - 46*z wrt z. -30*z - 6 Suppose -5*q + 12 = 2. Let p = 13 - 9. What is the third derivative of 0*h**4 + h**p + 2*h**q + 0*h**4 wrt h? 24*h Suppose -2*m - 10 = -7*m. Let s(d) = -d**3 - 5*d**2 - d - 1. Let p be s(-5). Find the third derivative of -4 - p*z**6 + 4 + z**6 - 2*z**m wrt z. -360*z**3 Let r = 12 + 1. What is the second derivative of 4*j**5 - 11*j**5 + 9*j - r*j wrt j? -140*j**3 Let t(n) = n**4 + n**3 - n**2 + n. Let a(f) = 26*f**4 - 5*f**3 + 5*f**2 - 5*f - 4. Let u(x) = -a(x) - 5*t(x). What is the first derivative of u(h) wrt h? -124*h**3 Let u(x) be the third derivative of -11*x**5/60 - 11*x**4/24 + 4*x**2. Find the second derivative of u(a) wrt a. -22 Let z(t) = 1. Let a(s) = -s - 7. Let b(g) = -a(g) - 2*z(g). Let v be b(0). Find the third derivative of 2*j**2 + 0*j**2 - v*j**4 + 4*j**4 wrt j. -24*j Let n(a) be the second derivative of 11*a**5/20 + 3*a**2 + 12*a. What is the first derivative of n(j) wrt j? 33*j**2 Suppose 6*j = 4*j. Let o(z) be the first derivative of j*z**2 + 2 + 1/3*z**3 + 0*z + 1/2*z**4. What is the third derivative of o(l) wrt l? 12 Suppose -5 = -3*a - 2*a. Let b(x) be the first derivative of -a + 0*x**3 + 0*x + x**2 - 1/4*x**4. What is the second derivative of b(h) wrt h? -6*h Let y(j) be the second derivative of 5*j**3 + 6*j**2 + 29*j. Differentiate y(m) with respect to m. 30 Find the second derivative of 7*q - q + 11*q**4 - 17*q wrt q. 132*q**2 Let n(d) = d - 1. Let h(t) = -5*t**2 - 15*t + 25. Let p(b) = -2*h(b) - 50*n(b). Find the second derivative of p(f) wrt f. 20 Let h(n) = -5*n**3 - 4*n**2 - 4*n - 10. Let b(p) = -5*p**3 - 5*p**2 - 5*p - 10. Let x(l) = 4*b(l) - 5*h(l). Differentiate x(z) wrt z. 15*z**2 What is the derivative of 0 - 1 - 6*r**2 + 2 wrt r? -12*r Find the third derivative of -26*x**2 - 10*x**3 - 5*x**4 + 10*x**3 - 27*x**4 wrt x. -768*x What is the third derivative of -2*y**4 - 10*y**4 + 6*y**4 - 31*y**2 - 17*y**4 wrt y? -552*y Let s(d) = -d**2 + d + 1. Let y(k) = -2*k**2 + 5*k + 3. Let a(c) = -5*s(c) + y(c). Differentiate a(x) with respect to x. 6*x Let z(s) = 5*s + 9. Let v(h) = 8*h + 32*h + 26*h + 117. Let j(q) = -2*v(q) + 27*z(q). What is the derivative of j(x) wrt x? 3 Let o = 1 - 4. Let m(l) = l**2 + l - 1. Let y(b) = 4*b**2 + 2*b - 3. Let f(w) = o*m(w) + y(w). What is the second derivative of f(x) wrt x? 2 Let m be -1*12*(-2)/8. Find the first derivative of 2 + 2 + 0 + m*c**3 wrt c. 9*c**2 Let t(x) = x**3 - 2*x - 5. Let m(f) = 2*f**3 - 3*f - 7. Let y(p) = 5*m(p) - 7*t(p). What is the second derivative of y(j) wrt j? 18*j What is the first derivative of -78 + 162 - 43*f - 75 wrt f? -43 Find the third derivative of -15*x**2 - 22*x**5 + 15*x**5 + 5*x - 5*x wrt x. -420*x**2 Let i(v) be the first derivative of 6*v**5/5 - v**3/3 + 8. What is the third derivative of i(f) wrt f? 144*f What is the third derivative of 9 + 8 + 3*v**2 - 4*v**6 - 17 wrt v? -480*v**3 Let o(x) be the third derivative of -2*x**7/105 - 7*x**3/6 - 9*x**2. What is the first derivative of o(v) wrt v? -16*v**3 Let v(g) be the first derivative of -g**6 + 9*g**2 - 25. Find the second derivative of v(x) wrt x. -120*x**3 Let q(t) = t**3 + 2*t**2 - 1. Let y be q(-1). Let l = 0 + y. What is the first derivative of -1 + 2*x**2 + l*x**2 + 2 wrt x? 4*x Let k(n) = 2*n**3 - 4*n - 5. Let w(j) = j**3 - j - 1. Let b be 4/(-6)*(-2 - 4). Let u(q) = b*w(q) - k(q). What is the derivative of u(r) wrt r? 6*r**2 Suppose -l + 2*a - 3 = -4*l, 3*a = 3*l - 18. What is the second derivative of 5*m - 5*m**3 - l + 3 - 3*m wrt m? -30*m Let b = -36 + 63. Suppose -5*h + b - 2 = 0. What is the third derivative of -w**5 + 3*w**h + 2*w**2 + 0*w**2 - 4*w**5 wrt w? -120*w**2 Find the second derivative of -9*s**2 - 7*s - s**2 - 3*s**4 + 10*s**2 wrt s. -36*s**2 Let j be (2/24)/((-1)/(-2)). Let v(r) be the third derivative of -2*r**2 + 0*r + 0*r**4 - j*r**3 + 0 - 1/30*r**5. What is the derivative of v(z) wrt z? -4*z Let w(z) be the third derivative of z**8/210 + 3*z**4/8 - 2*z**3/3 + 6*z**2. Let l(o) be the first derivative of w(o). Differentiate l(i) wrt i. 32*i**3 Let j(i) be the first derivative of 0*i**4 + 0*i - 2/3*i**3 + 0*i**5 + 0*i**2 + 5 + 1/3*i**6. What is the third derivative of j(t) wrt t? 120*t**2 Let p(y) be the third derivative of 23*y**6/120 + y**4 - 29*y**2. What is the second derivative of p(i) wrt i? 138*i Let h = 5 - 1. Differentiate 3 - 5*i**4 + 4*i**4 - 4 + 4*i**h wrt i
{ "pile_set_name": "DM Mathematics" }
2066? 2 What is the ten thousands digit of 15868? 1 What is the units digit of 265? 5 What is the hundreds digit of 1995? 9 What is the tens digit of 4344? 4 What is the thousands digit of 2892? 2 What is the ten thousands digit of 148166? 4 What is the hundreds digit of 4926? 9 What is the tens digit of 609? 0 What is the units digit of 54802? 2 What is the units digit of 29381? 1 What is the ten thousands digit of 13739? 1 What is the tens digit of 4748? 4 What is the ten thousands digit of 88917? 8 What is the thousands digit of 1326? 1 What is the tens digit of 9018? 1 What is the units digit of 1481? 1 What is the thousands digit of 2739? 2 What is the tens digit of 1708? 0 What is the units digit of 12884? 4 What is the hundreds digit of 2468? 4 What is the hundreds digit of 50594? 5 What is the units digit of 280? 0 What is the units digit of 45444? 4 What is the ten thousands digit of 17551? 1 What is the hundreds digit of 17271? 2 What is the hundreds digit of 1494? 4 What is the tens digit of 1188? 8 What is the hundreds digit of 169204? 2 What is the units digit of 1805? 5 What is the tens digit of 8711? 1 What is the tens digit of 3170? 7 What is the thousands digit of 1943? 1 What is the tens digit of 2938? 3 What is the units digit of 69820? 0 What is the units digit of 4780? 0 What is the tens digit of 12536? 3 What is the units digit of 17634? 4 What is the units digit of 27390? 0 What is the units digit of 6281? 1 What is the hundreds digit of 2552? 5 What is the units digit of 1994? 4 What is the thousands digit of 27941? 7 What is the hundreds digit of 3852? 8 What is the thousands digit of 10120? 0 What is the thousands digit of 38359? 8 What is the ten thousands digit of 26139? 2 What is the units digit of 39553? 3 What is the hundreds digit of 178381? 3 What is the tens digit of 5467? 6 What is the units digit of 2737? 7 What is the ten thousands digit of 44124? 4 What is the units digit of 649? 9 What is the hundreds digit of 5618? 6 What is the tens digit of 4325? 2 What is the units digit of 21789? 9 What is the units digit of 7046? 6 What is the units digit of 17891? 1 What is the tens digit of 1066? 6 What is the hundreds digit of 2453? 4 What is the hundreds digit of 1350? 3 What is the thousands digit of 23407? 3 What is the units digit of 7612? 2 What is the tens digit of 101? 0 What is the ten thousands digit of 20187? 2 What is the units digit of 15670? 0 What is the hundreds digit of 3728? 7 What is the hundreds digit of 22636? 6 What is the tens digit of 2199? 9 What is the tens digit of 147? 4 What is the units digit of 6550? 0 What is the hundreds digit of 3474? 4 What is the hundreds digit of 433? 4 What is the thousands digit of 13801? 3 What is the tens digit of 15006? 0 What is the thousands digit of 2032? 2 What is the hundreds digit of 3213? 2 What is the units digit of 15084? 4 What is the units digit of 5562? 2 What is the thousands digit of 27756? 7 What is the hundreds digit of 162? 1 What is the ten thousands digit of 73949? 7 What is the hundreds digit of 907? 9 What is the units digit of 1837? 7 What is the units digit of 1837? 7 What is the thousands digit of 1396? 1 What is the hundreds digit of 1834? 8 What is the hundreds digit of 96894? 8 What is the hundreds digit of 972? 9 What is the tens digit of 864? 6 What is the tens digit of 4746? 4 What is the hundreds digit of 6588? 5 What is the tens digit of 39590? 9 What is the tens digit of 1456? 5 What is the units digit of 7286? 6 What is the units digit of 5023? 3 What is the units digit of 382? 2 What is the tens digit of 989? 8 What is the thousands digit of 104169? 4 What is the hundreds digit of 12678? 6 What is the tens digit of 33225? 2 What is the hundred thousands digit of 123817? 1 What is the thousands digit of 3233? 3 What is the units digit of 71908? 8 What is the tens digit of 1543? 4 What is the thousands digit of 5075? 5 What is the ten thousands digit of 39341? 3 What is the tens digit of 7553? 5 What is the hundreds digit of 133492? 4 What is the hundreds digit of 4216? 2 What is the thousands digit of 3857? 3 What is the units digit of 8323? 3 What is the tens digit of 591? 9 What is the units digit of 1080? 0 What is the tens digit of 55737? 3 What is the ten thousands digit of 36592? 3 What is the tens digit of 1444? 4 What is the units digit of 22151? 1 What is the units digit of 2723? 3 What is the units digit of 12994? 4 What is the tens digit of 93760? 6 What is the hundreds digit of 1238? 2 What is the tens digit of 470? 7 What is the units digit of 3271? 1 What is the tens digit of 389? 8 What is the hundreds digit of 1071? 0 What is the units digit of 9781? 1 What is the hundreds digit of 2604? 6 What is the units digit of 21988? 8 What is the tens digit of 61917? 1 What is the hundreds digit of 22908? 9 What is the thousands digit of 57074? 7 What is the hundreds digit of 15635? 6 What is the tens digit of 160982? 8 What is the tens digit of 5925? 2 What is the thousands digit of 1392? 1 What is the hundreds digit of 4188? 1 What is the hundreds digit of 24335? 3 What is the thousands digit of 83231? 3 What is the hundreds digit of 3992? 9 What is the units digit of 114? 4 What is the tens digit of 79633? 3 What is the units digit of 594? 4 What is the hundreds digit of 12177? 1 What is the units digit of 45698? 8 What is the tens digit of 178? 7 What is the tens digit of 10292? 9 What is the units digit of 6243? 3 What is the tens digit of 137? 3 What is the units digit of 152396? 6 What is the tens digit of 5085? 8 What is the tens digit of 174? 7 What is the hundreds digit of 573? 5 What is the ten thousands digit of 29287? 2 What is the tens digit of 712? 1 What is the units digit of 2608? 8 What is the units digit of 1594? 4 What is the units digit of 14707? 7 What is the tens digit of 9402? 0 What is the hundreds digit of 7570? 5 What is the hundreds digit of 116? 1 What is the ten thousands digit of 99628? 9 What is the tens digit of 1191? 9 What is the thousands digit of 5898? 5 What is the tens digit of 12779? 7 What is the thousands digit of 11001? 1 What is the hundreds digit of 9964? 9 What is the hundreds digit of 345? 3 What is the units digit of 13592? 2 What is the thousands digit of 5908? 5 What is the thousands digit of 177822? 7 What is the thousands digit of 2158? 2 What is the thousands digit of 5327? 5 What is the units digit of 2199? 9 What is the tens digit of 376? 7 What is the units digit of 769? 9 What is the tens digit of 27328? 2 What is the tens digit of 322? 2 What is the ten thousands digit of 12363? 1 What is the tens digit of 18878? 7 What is the tens digit of 2344? 4 What is the thousands digit of 3256? 3 What is the tens digit of 520? 2 What is the thousands digit of 33700? 3 What is the tens digit of 7346? 4 What is the hundreds digit of 30521? 5 What is the ten thousands digit of 90896? 9 What is the tens digit of 301? 0 What is the tens digit of 1996? 9 What is the hundreds digit of 7165? 1 What is the units digit of 39906? 6 What is the tens digit of 148? 4 What is the units digit of 1195? 5 What is the hundreds digit of 32466? 4 What is the tens digit of 4404? 0 What is the hundred thousands digit of 136573? 1 What is the thousands digit of 6775? 6 What is the thousands digit of 1422? 1 What is the thousands digit of 4088? 4 What is the tens digit of 1175? 7 What is the tens digit of 1805? 0 What is the tens digit of 1620? 2 What is the ten thousands digit of 15473? 1 What is the units digit of 5078? 8 What is the hundreds digit of 2330? 3 What is the hundreds digit of 983? 9 What is the hundreds digit of 1011? 0 What is the thousands digit of 10214? 0 What is the units digit of 20802? 2 What is the ten thousands digit of 21180? 2 What is the units digit of 361? 1 What is the hundreds digit of 1233? 2 What is the tens digit of 6402? 0 What is the tens digit of 7967? 6 What is the units digit of 859? 9 What is the units digit of 3229? 9 What is the hundreds digit of 5677? 6 What is the tens digit of 2045? 4 What is the hundreds digit of 3584? 5 What is the units digit of 378? 8 What is the thousands digit of 11988? 1 What is the units digit of 960? 0 What is the hundre
{ "pile_set_name": "DM Mathematics" }
-2*i + 39, -f*p + 14 = 2*i. Let q(z) = -z + 8 - z + 6 - i. Give q(4). -6 Let o(q) = -1123*q + 1160*q + 8 + 32. Give o(-1). 3 Let k be ((-742)/848)/(2/16). Let l(d) = 2*d**2 + 20*d + 35. Determine l(k). -7 Suppose 5 - 1 = 4*l. Let u be l/(-3) - 19/(-3). Let g(b) = b**3 + b**2 - 2*b - 1. Let c(i) = -5*i**3 + 2*i**2 + 9*i + 5. Let s(d) = -c(d) - 4*g(d). Give s(u). -7 Let l = 1 + 2. Suppose 7*a - 12*a + 220 = 0. Let i(s) = 22 + 25 - s - a. Calculate i(l). 0 Let l(f) = 6*f. Let x(z) = -z**3 - 7*z**2 - 4*z - 5. Let i be ((-2)/6)/(-7 - (-148)/21). Let h be x(i). Suppose 26 = -3*k + h. What is l(k)? -6 Let i = 4394 - 4382. Let q(s) = -8*s + 16. Calculate q(i). -80 Let d = -4014 - -4025. Let x(j) = j**2 - 13*j - 10. Give x(d). -32 Suppose 83*g = 149*g - 73 - 389. Let s(w) = 3*w**2 + 11*w - 6. Let l = 3 - 8. Let m(o) = 4*o**2 + 12*o - 5. Let z(x) = l*s(x) + 4*m(x). Calculate z(g). 10 Let z(u) = 4*u - 17. Let p = 44 + -40. Suppose -40 = -p*a - 4*a. Let t(s) = s - 1. Let o(g) = a*t(g) - z(g). Calculate o(0). 12 Let m(v) be the first derivative of -3*v**2/2 + 4*v - 3649. Suppose 3*x + 0 - 24 = 0. Let r = 5 - x. Give m(r). 13 Let z(x) = 5*x - 216 + 272 + 0*x. What is z(-11)? 1 Let t(k) = -134*k + 11. Let z be t(3). Let p = 385 + z. Let o(c) be the first derivative of c**4/4 + 7*c**3/3 + 4*c**2 + 6*c - 1. What is o(p)? -6 Let p(r) = -4*r**2 - 67*r + 225. Let b(d) = -2*d**2 - 33*d + 110. Let m(u) = 9*b(u) - 5*p(u). What is m(-22)? -3 Let a(s) = -5*s**3 + 4*s**2 + 33*s - 53. Let h(n) = -9*n**3 + 8*n**2 + 66*n - 94. Let b(f) = 7*a(f) - 4*h(f). Give b(8). -3 Let x(d) = 2*d**2 - 8*d + 6. Let z(o) = -o**3 + 3*o**2 + 4*o - 1. Let n(b) = -b**3 - b. Let w(k) = -5*n(k) - z(k). Let s be w(1). What is x(s)? 16 Let f = -5/411 - -79/2740. Let b(v) be the third derivative of 1/6*v**4 + 0 + 1/2*v**3 + f*v**5 + 0*v + 10*v**2. Calculate b(-4). 3 Let w(c) = -c**3 + 21*c**2 - 38*c + 2. Let i be w(19). Let h(v) = -3 + 10*v**2 + 2*v - 13*v**i - 6*v + 4*v**2. What is h(3)? -6 Let m(q) = -14*q**2 - 20*q + 25. Let p(o) = 3*o**2 - 4. Let k(a) = m(a) + 5*p(a). Give k(21). 26 Let d(p) be the first derivative of -p**5/60 - 7*p**4/24 - 3*p**3/2 - 66*p**2 + 197. Let z(s) be the second derivative of d(s). What is z(-6)? -3 Let v(z) = 30*z**2 + 3*z - 7 - 31*z**2 + z + 10. Let y(c) be the first derivative of -2*c**3/3 + 13*c**2/2 - 8*c + 19. Let h be y(6). Give v(h). -9 Suppose 0 = -4*p - 2*k + 4 + 146, -171 = -5*p + 3*k. Suppose -12 = p*a - 38*a. Let o(r) = -r**3 + 5*r**2 + 8*r. Calculate o(a). 12 Let o(u) = -17*u**3 + 16*u**2 - 10*u + 15. Let f(c) = -3*c**3 + 4*c**2 - 3*c + 1. Let y(l) = 6*f(l) - o(l). Give y(5). 26 Let v(j) be the second derivative of -11*j**3/2 - 87*j**2 - 2548*j. What is v(-5)? -9 Let g(n) = -6*n + 1. Suppose 0 = 4*m - 2 - 2. Suppose -x + 5 = -2*o + 3*o, -24 = -4*x - 2*o. Suppose x*y = 8*y - m. What is g(y)? -5 Let h(k) = k**2 + 5*k - 159. Let n(s) = s**2 + 7*s - 157. Let x(r) = -5*h(r) + 4*n(r). Calculate x(14). 13 Let c(t) = t**3 - 14*t + 4. Suppose 0 = y - 5, -3*s - s + y - 29 = 0. Let r(p) = -p**2 - p + 2. Let i(d) = s*r(d) + c(d). What is i(-7)? -1 Let c(w) = -25*w + 2. Let g(z) = 37*z + 46. Let k(y) = -2*c(y) - 2*g(y). Determine k(-5). 24 Let v(f) = f**2 + 3*f - 18. Let z(x) = 99*x + 1197. Let y be z(-12). Calculate v(y). 90 Let m = 130 + -200. Let i = 66 + m. Let u(p) be the third derivative of p**5/60 - p**3/6 - 6*p**2. What is u(i)? 15 Let g(z) = 13*z**2 - 33*z + 16. Let r(c) = -23*c**2 + 60*c - 32. Let h(j) = 7*g(j) + 4*r(j). Give h(9). -16 Let j(c) = 5*c - 27. Let o(p) = 2*p - 14. Let k(r) = 6*j(r) - 14*o(r). Determine k(-15). 4 Let o(z) be the first derivative of 1/2*z**2 - 1/3*z**3 + 87 + 7*z. Calculate o(0). 7 Let a(j) = 3*j - 29. Suppose 10*t - v + 21 = 12*t, v = 5*t - 35. What is a(t)? -5 Let u(y) = y - 8. Suppose 5*k - 2*k + f = 31, 38 = 2*k + 5*f. Suppose -k*t - 14 = -10*t. Give u(t). 6 Let i(r) = 2*r - 1. Let c(o) = 3*o + 43. Let j be ((-8)/10)/((-6)/(-15)). Let d be ((52/(-8))/(-1))/(j/4). Let a be c(d). Give i(a). 7 Suppose -5*c + 12 = -j, 3*j + 2*c - 3*c - 6 = 0. Let f(p) = j + 0 + 2 + 2*p. Calculate f(5). 15 Let i(x) = 2*x**3 - 17*x**2 - 2*x + 10. Suppose 3*q - 4*o + 9 = 0, 4053*q + 63 = 4057*q + 3*o. What is i(q)? 73 Let w(h) be the second derivative of 5*h**3/2 - 121*h**2/2 + 3701*h. Determine w(8). -1 Let k(u) = -18*u - 399. Let g(t) = 3*t + 62. Let z(i) = 39*g(i) + 6*k(i). Give z(-5). -21 Let s(g) = -46*g + 7 - 44*g - 44*g + 137*g - g**2 + 2. Suppose 1 = n - 4. Determine s(n). -1 Let v be ((-13)/(-3) - 1)*(-378)/70. Let x(d) = 5*d + 97. Determine x(v). 7 Let l = 340 + -321. Let d(q) = -17 + 0 + l - q + 3*q. Calculate d(-2). -2 Let f be (-1)/(-4) - (-6)/8. Let h(a) = -17*a + 86. Let y(v) = 8*v - 47. Let d(r) = 6*h(r) + 11*y(r). Determine d(f). -15 Let h(l) = -2*l**2 - 5*l + 3. Let v be 1 + 1/(4 - (-36)/(-8)). Let p = -5 - v. Determine h(p). -9 Suppose -43*k - 225 - 76 = 0. Let y(t) = -3*t + 3. Calculate y(k). 24 Let n(h) = -h**2 + 4*h - 11. Let w = 552 - 547. Give n(w). -16 Let o(n) be the second derivative of -3*n**4/4 - n**3/3 - n**2/2 - 22*n. Let k be (-3)/(-2)*460/(-690). Determine o(k). -8 Let x(j) = 17*j**3 - 4*j**2 + 13*j - 24. Let w(d) = -37*d**3 + 9*d**2 - 30*d + 50. Let i(t) = 5*w(t) + 11*x(t). What is i(-2)? -12 Let b(x) = -x**3 - 2*x**2 + 5*x - 12. Let n be b(-4). Let i be (-3 + 2)*n*(-4)/12. Let l(k) = -6 + k**2 + i*k**2 - 2*k + 2 + 10*k. Determine l(-7). -11 Let r(p) = p**3 + 10*p**2 - 62*p - 89. Let z be r(-14). Let b(h) = h**3 + 6*h**2 + 2*h + 14. What is b(z)? 29 Let x = -1691 - -2914. Let o(i) = x - 611 - 7*i - 613. What is o(3)? -22 Let s = 8311 - 8286. Let r(l) = l**3 - 25*l**2 - 2*l + 8. Give r(s). -42 Let o be ((-4)/2)/(6/(-36)). Let v(n) = n - 2 + o - 2 - 2*n. Suppose 63*m - 574 + 196 = 0. What is v(m)? 2 Let s(f) = -10*f**2 + 6*f - 9. Suppose 6 = -25*l + 45*l - 34. Calculate s(l). -37 Let x(g) = g**2 + 11*g + 9. Let j(i) = -i - 2 + 0*i - 4*i + 2*i. Let q be j(2). Determine x(q). -15 Let o(b) = 11069*b - 396 - 144 - 50 - 11127*b - 103. What is o(-12)? 3 Let s(h) = 2*h**2 - 709*h + 703*h - 25 + 35 - h**2. Calculate s(5). 5 Let q(w) = w**3 + 11*w**2 - 25*w + 15. Let v(u) = -5*u**2 + 40*u - 48. Let f be v(7). Determine q(f). 2 Let q(f) be the first derivative of -f**3/3 + 5*f**2 + 7*f - 1. Suppose -26963*c + 264 = -26930*c. Calculate q(c). 23 Let n(x) be the second derivative of 5/3*x**3 - 16*x + 0 + 3/2*x**2. Suppose 0 = -m + 4, 0*m = s - 2*m + 10. Determine n(s). -17 Suppose -40 = 158*m - 153*m + 5*o, -5*m - o = 8. Let z(n) = 45*n - 2. Give z(m). -2 Let b(a) be the first derivative of a**5/60 + a**4/24 - a**3/2 + 3*a**2/2 - 10*a + 2. Let v(t) be the second derivative of b(t). Determine v(4). 17 Let t(s) = -9*s**2 - 3*s + 1. Let g(m) = -136*m + 20*m**2 - 1 + 276*m - 9*m**2 - 136*m. Let j(u) = -4*g(u) - 5*t(u). Calculate j(-5). 29 Let i(s) = -6*s + 3. Let q = 10 + -8. Let g be 9/54 - (-17)/6. Suppose -g = u + 5*y, 2*u - y = -q*u - 12. What is i(u)? 21 Let i = -388 - -788. Let l = i + -398. Let r(z) = 4*z**3 - z**2 - 4*z + 3. Calculate r(l). 23 Let u(n) = -10*n - 1. Let s be u(12). Let j = -114 - s. Suppose y = -j*y + 32. Let w(v) = v**3 - 3*v**2 + 2*v - 3. What is w(y)? 21 Suppose -71*p + 69*p = -6 - 6. Let i(z) = -z**3 + 3*z**2 + 13*z + 10. Determine i(p). -20 Let b(j) be the second derivative of -j**6/120 - j**5/20 + j**4/4 + j**3 - 12*j**2 + 101*j. Let t(r) be the first derivative of b(r). Calculate t(-4). -2 Suppose 6*u - 55 = -5*u. Let a(y) = 12 - 4*y - y**3 + u*y - 9*y**2 - y**2. Calculate a(-10). 2 Let t(v) = -2*v**2 + 979*v**3 - 78*v - 971*v**3 + 2 + 42*v + 36*v. Calculate t(-2). -70 Let d(q) = -q**2 - q + 15. Suppose -v - 2*x + 1 = 0, 23*v + 4*x + 18 = 25*v. Determine d(v). -15 Let y(g) = -g**2 + 8*g + 3. Let v(n) = n**2 - 43*n - 5. Let l be v(0). Let c(p) = 38*p + 198. Let a be c(l). Give y(a). 3 Let r(d) = 2*d**2 + 2*d - 27. Let j be r(-5). Suppose -m = 0, j*p = 10*p - m - 6. Let l be 3*((1 - p) + -4). Let b(u) = -u**2 + 3*u + 2. Determine b(l). -16 Let v(b) = -b - 11. Let x(w) = 3*w**3 - 4*w**2 + w - 5. Let j be x(2). Let n(t) = -t - 2. Let f(p) = j*n(p) - v(p). Determine f(-2). 9 Let n(g) be the third derivative of 5*g**4/12 - 17*g**3 + 867*g**2. What is n(11)? 8 Let v(i) be the first derivative of -13*i**2
{ "pile_set_name": "DM Mathematics" }
u be 0/((-55)/11) - (-4)/2. Sort 23, u, -3 in decreasing order. 23, u, -3 Let h be (6 + (-192)/34)*8/(-24). Let m = -1 + 1. Sort h, m, -2/11. -2/11, h, m Let r be 251/(-753) + 41/(-3) + 1. Suppose 0*o - o - 4 = 0. Put o, r, 2 in descending order. 2, o, r Let m(k) = 3*k**2 - 3*k - 3. Let d be m(3). Suppose -5*z - d = -5*x, 2*x + z - 6 = -3*z. Put -2, 6, x in descending order. 6, x, -2 Let q(b) = -2*b**3 + 17*b**2 + 7*b + 19. Let a be q(9). Let v be a/1 + (17 - 22). Put v, -3/2, -0.2 in increasing order. v, -3/2, -0.2 Suppose -w = 0, -48*a = -49*a - 4*w + 168. Sort -2, 5, a in ascending order. -2, 5, a Let r be (50 + -46)/((-28)/(0 + -2)). Sort r, 18, -5/4 in ascending order. -5/4, r, 18 Let i = 26 - 76/3. Let f(b) = 3*b + 8. Let d(h) = -h. Let q(j) = -2*d(j) - f(j). Let y be q(-9). Put i, -0.4, y in descending order. y, i, -0.4 Let k(m) = m. Let g be k(-3). Suppose 67 = -h + o, 3*o = 3*h + 2*o + 203. Let l be h/12 - (-4)/6. Sort g, l, 2 in decreasing order. 2, g, l Suppose 44 = 4*q + 4*y, 0 = q + 4*y - 16 - 1. Suppose -q*p = -7*p + 2. Sort 3, 0, p in increasing order. p, 0, 3 Suppose -80 = -5*k + 40. Suppose 5*m = 26 + k. Let j = -13 + m. Sort -2, j, 0.1 in decreasing order. 0.1, -2, j Let w be (-4)/6*1*-3. Suppose 0 = f - 0*f + 3. Let o be f*(2 - (-8)/12). Put 0, w, o in descending order. w, 0, o Let s(i) = -i**2 + 11*i - 26. Let m be s(6). Let k be -1 - -13*(-1 + 2). Suppose -a + 10 = -3*o, 0 = -m*a + o + 4*o + k. Sort -1, a, 0. a, -1, 0 Let q be 84/39 - (-4)/(-26). Let h be (-70)/(-20) + q/(-4). Put 4, -8, h, 1/4 in descending order. 4, h, 1/4, -8 Suppose 5*s - 7 = 38. Suppose -s = -4*w + 7. Suppose 5*g - 7 = -f, -4*g - f + 2 = -4. Sort -5, g, w. -5, g, w Suppose -3*l - 5*s = -10, 0 = -3*l + 3*s + 20 - 26. Sort -5, l, -439. -439, -5, l Let q = 2.2 + -2.9. Put -2/9, -3, q, -0.03 in decreasing order. -0.03, -2/9, q, -3 Suppose 4*f - 46 = -4*g + 2*f, 4*g = 4*f + 16. Let w(z) = 4*z**2 + 3 - 3*z**2 + z - 5*z. Let v be w(2). Sort g, v, -2. -2, v, g Let o = 129439/826 - 117/118. Let j = -156 + o. Let r = 13 - 13. Sort -4, j, r. -4, j, r Let t = -1350 - -1355. Sort -116, 0, t in descending order. t, 0, -116 Let h = 2099 + -2098. Let v = 674/1197 - 11/19. Let y = 17/63 - v. Sort y, h, 0.03 in decreasing order. h, y, 0.03 Let z = 0 + -2. Let u = z + -3. Let k = -4546 - -4546. Put u, 1, k in descending order. 1, k, u Suppose 2*j + 4*s = -2*j + 516, 3*j - 3*s - 381 = 0. Put -3, j, 5 in descending order. j, 5, -3 Let k be 44/14 + 384/(-336). Sort -40, k, -6. -40, -6, k Let z = 1.46 + 21.54. Sort -2, z, 5 in decreasing order. z, 5, -2 Suppose -3*r + 4 = r, 4*d - 12 = 4*r. Suppose 0 = d*m - 10 - 46. Let h = m - 16. Sort h, 2, 7 in decreasing order. 7, 2, h Suppose 2*l - l = -4*z + 13, 0 = -3*z + 5*l + 4. Suppose -2*m = 6*x - 7*x + 9, 0 = 5*x - 3*m - 31. Put x, 0, z in decreasing order. x, z, 0 Let h = -1.432 - -0.432. Let x = 1973/5 + -393. Sort x, h, -2/5. h, -2/5, x Suppose 0 = 16*x - 12*x - 8. Let k = 6 - x. Suppose -t = -2*p + 4*t + 17, k*p + t - 1 = 0. Sort p, 2, -5 in increasing order. -5, p, 2 Suppose -2*t + 4*d - 50 = 0, 3*t + 67 = -3*d + 10. Sort -1, 4, 2, t in increasing order. t, -1, 2, 4 Let k = -1/38 - 107/266. Sort -41, -0.5, k in descending order. k, -0.5, -41 Let b be 1/((-3)/(-9) - (-1)/(-2)). Let t be 8 + -4 - (-27)/b. Put -4/9, t, 1/21 in increasing order. t, -4/9, 1/21 Let t = 215 + -1506/7. Let q = -54 - -704/13. Put t, -1/3, -1/12, q in decreasing order. q, -1/12, t, -1/3 Let r = 3.2 - 3. Let y = -0.4 - -0.2. Let g = y - -0.3. Sort g, 5, r in ascending order. g, r, 5 Let p = -4273 + 235009/55. Put 0.2, 5, p in ascending order. p, 0.2, 5 Suppose -5*o + 14 = -6. Let i be 70/(-15) - 1/3. Put i, 2, o in decreasing order. o, 2, i Let g = -540.1 + 540. Sort g, -25, 4 in decreasing order. 4, g, -25 Let n = 18/7 + -19/7. Let w = 0.1 - 0.6. Sort -2/3, w, n in decreasing order. n, w, -2/3 Let x = 997 - 996.7. Let f = 27.9 - 38. Let i = f - 1.9. Sort x, -2/3, i in descending order. x, -2/3, i Let d = 10/143 + 16/143. Put 1.88, -2/11, d in descending order. 1.88, d, -2/11 Let k = -0.6 - 2. Let f = -6.6 - k. Sort -0.1, -0.2, f in increasing order. f, -0.2, -0.1 Let t = -86 + 70. Let v be t/8 + 15/3. Sort v, 0.2, 0.4, -3 in decreasing order. v, 0.4, 0.2, -3 Let w be (2/(-13))/1 - (-4374)/39. Suppose -z + w = -5*z. Put 1, 3, z in ascending order. z, 1, 3 Suppose -64*v - 3 = -67*v. Sort -1, 0, 36, v. -1, 0, v, 36 Let i(k) = 7*k**2 + 9*k - 16. Let y be i(-8). Let l be y/84 + (-2)/7. Put 3, 2, 0, l in descending order. l, 3, 2, 0 Let d be (6 + -3)/((-9)/(-2)). Let n = -0.16 - -0.3. Let x = 3.14 - n. Sort -0.4, d, x in increasing order. -0.4, d, x Let v be 16 + -17 + 0 + 36. Let k = v + -33. Put -0.1, k, 3 in ascending order. -0.1, k, 3 Let v(a) = a**2 + 3*a. Let j be v(-4). Let w = -15/4 + 7/2. Let o = -6 - -3. Sort o, w, j in decreasing order. j, w, o Let y = 3 + -49. Let r = 41 + y. Let b be (-42)/10 + (-2)/(-10). Put r, 4, b in increasing order. r, b, 4 Suppose 0 = -22*s + 41*s. Put s, -4, 4, -3 in decreasing order. 4, s, -3, -4 Let b = 182 + -179. Suppose 0 = f + f, 3*z = f + 18. Sort z, 2, b. 2, b, z Let c = 2457.8 + -2460. Suppose 0 = b - 4*s - 20, -6*s = b - 4*s + 10. Sort b, c, 2, 0.4 in decreasing order. 2, 0.4, b, c Let h(i) = i + 10. Let f be h(-7). Let k = 9 + -7. Sort -5, f, k. -5, k, f Let u be -4*(14/(-4) + 4). Let b = 36 + -41. Sort b, 13, u in descending order. 13, u, b Let a = 64 + -67.9. Let p = a + 3.5. Put p, 2, -3/7 in decreasing order. 2, p, -3/7 Let s = -998 - -1127. Sort -2, 3, 2, s in ascending order. -2, 2, 3, s Let h be (-57)/6 - (-75)/(-50). Put h, 3/5, -0.5 in ascending order. h, -0.5, 3/5 Suppose 138 - 31 = -6*c - 1. Let d = -1 + 6. Put c, d, 0, 4 in increasing order. c, 0, 4, d Let i be (3 - 0) + -7 + 7. Let j = 25 + -25. Suppose j = -4*g + g - 3*y, 15 = 2*g - y. Sort g, -3, i. -3, i, g Let i = -1984 + 1984.5. Sort -0.1, -1, i, -9. -9, -1, -0.1, i Let a be (-1)/(-4) - (-30)/8. Let z = -4.3 + 2.6. Let g = z - 1.3. Sort a, g, 5 in ascending order. g, a, 5 Suppose 3*i - 4 = 2*i, 3*p + i + 149 = 0. Sort 1, -4, p. p, -4, 1 Let h = 0.76 + -0.06. Let n = 147.6 - 143.6. Sort h, 2/9, n in ascending order. 2/9, h, n Suppose -10 = -2*t - 4*y, 4*y = t - 5*t + 20. Let m be 4/(-6) + 301/(-21) + 16. Sort t, m, -4, 2 in decreasing order. t, 2, m, -4 Let b = -2.5 - 10.5. Let t = 501 - 997/2. Put t, 0.2, b in decreasing order. t, 0.2, b Let q = 78 + -74. Let p be (q/(-8))/((-12)/(-8)). Let v(g) = g**3 + 4*g**2 - 5*g - 4. Let i be v(-5). Sort i, p, 1/4 in decreasing order. 1/4, p, i Let p(s) = 2*s**3 + 4*s**2 - 7*s - 7. Suppose -i + 0 = 3. Let o be p(i). Sort o, -2, 2. o, -2, 2 Suppose 0 = 5*t, -3*i - 3*t - 6 = 2*t. Let l = 14 + -10. Let y(j) = j**3 - 3*j**2 - 5*j. Let z be y(l). Sort i, z, 1 in descending order. 1, i, z Suppose -5*j = -124 - 16. Suppose 1 - j = 9*y. Let b be 3 + y + (-16)/4. Sort -3, b, -5 in ascending order. -5, b, -3 Suppose -2*v - 2*o - 2*o + 10 = 0, 0 = 3*o - 9. Put 8, v, -4, -2 in ascending order. -4, -2, v, 8 Let v = 18 + -29. Let q = -0.0887 + -2.9113. Put v, 2/9, 5, q in increasing order. v, q, 2/9, 5 Let y(p) = -p + 2*p - 1 + 0*p + p - 3*p**3. Let j be y(1). Suppose -3*w + 0*k - 5*k = -10, -4*w = -5*k - 25. Sort -3, w, j in ascending order. -3, j, w Let f = 59 + -59. Let x(d) = 2*d**2 + 3*d. Let b = -13 - -11. Let h be x(b). Put h, f, -5 in decreasing order. h, f, -5 Let f(l) = 2*l**2 - 7*l + 9. Let q be f(4). Suppose -5*u = -5*t + 35, t + 9*u - 22 = q*u. Put -17, t, -2 in increasing order. -17, -2, t Let m = -151 - -217. Let x = m + -69. Sort -4, 0, 1, x. -4, x, 0, 1 Let k = 0.89 + 0.01. Let y = -9763 + 9765. Sort k, -6, y. -6, k, y Let h be (-3)/(30/6 - 11/2). Put 2, h, -1, -3 in decreasing order. h, 2, -1, -3 Let n(f) = -4*f**3 - f**2 - f. Let o be n(-1). Let m be 6*((-2)/o)/1. Put -6, -1, -4, m in descending order. -1, m, -4, -6 Let t = -938 + 936. Put -3, 2/5, t, -0.01 in ascending order. -3, t, -0.01, 2/5 Let q be 1/((-2 + -3)/40). Let f be (-22)/6 + (-4 - q). Sort -0.3, f, -2 in decreasing order. f, -0.3, -2 Let a(o) = 22*o - 24*o + 1 + 1. Let d(j) = j**3 + 7*j**2 + j + 10. Let x be d(-7). Let q be a(x). Sort 2, -7, q. -7, q, 2 Let z = 538 - 2693/5. Put -3, -1, z, -10/7 in descending order. z, -1, -1
{ "pile_set_name": "DM Mathematics" }
88 = 64*t for t. -5 Solve 80*m = 104*m + 336 for m. -14 Solve -29*g + 871 = 11*g + 27*g for g. 13 Solve 151*b = 7400 - 4078 for b. 22 Solve -27*v + 356 = 590 - 288 for v. 2 Solve -4507 = 29*a - 4507 for a. 0 Solve -10*i + 17*i - 11 + 32 = 0 for i. -3 Solve -452*s + 1943 = -317 for s. 5 Solve 27*y - 688*y - 14508 = 145*y for y. -18 Solve 137*f + 171*f + 3468 = -1460 for f. -16 Solve 0 = 97*d - 112*d - 45 for d. -3 Solve -13 = 13*n - 12*n - 11 for n. -2 Solve 32*t + 6*t - 36 = 2*t for t. 1 Solve 292*j + 857 = -3523 for j. -15 Solve 0 = 1351*w + 159 - 159 for w. 0 Solve 12*g - 4398 = -80*g - 4030 for g. 4 Solve -748*o + 1150 = -9322 for o. 14 Solve -114553 = 63*p - 115624 for p. 17 Solve -57*p - 3267 = -322*p - 87 for p. 12 Solve 99*b - 18 = 101*b for b. -9 Solve -308*w + 568 = -166*w for w. 4 Solve 51*y - 731 = -356 + 849 for y. 24 Solve 118 = -w - 110 + 219 for w. -9 Solve -130 - 178 = -109*l + 128 for l. 4 Solve 73 - 1602 = 139*k for k. -11 Solve 173*c = -232 - 3055 for c. -19 Solve -25*i - 78 - 498 = -217*i for i. 3 Solve -9959 = -812*b + 11153 for b. 26 Solve 166 = 25*j - 184 for j. 14 Solve -8*a + 31*a - 240 = -25*a for a. 5 Solve 215*f - 2521 + 175 = 77*f for f. 17 Solve -8*n - 5126 = -241*n - 0*n for n. 22 Solve 6*p + 435 = 513 for p. 13 Solve 0 = 571*r - 4011 - 5125 for r. 16 Solve 178*n - 295 = 93*n - 210*n for n. 1 Solve -47*l - 93 - 95 = 0 for l. -4 Solve 1945*d = 1906*d + 1287 for d. 33 Solve 516*q = 619*q + 1751 for q. -17 Solve 397*r + 4842 = -1113 for r. -15 Solve 7*s - 13*s + 2448 = -108*s for s. -24 Solve 309 = 62*z - 435 for z. 12 Solve 502 = -35*b + 510 - 883 for b. -25 Solve -607*l + 342*l = 530 for l. -2 Solve 133*c + 65*c = -30*c + 456 for c. 2 Solve 4*d + 363 = -3*d + 40*d for d. 11 Solve -290*z = -468 - 3302 for z. 13 Solve 17*v + 289 + 6 = 57 for v. -14 Solve -236*p + 437 = -2159 for p. 11 Solve 0 = 24*i + 92 + 93 + 31 for i. -9 Solve -157*d - 37*d = 6208 for d. -32 Solve 7723 = 38*i + 7457 for i. 7 Solve 772*b = 748*b - 60 - 12 for b. -3 Solve -g = 23*g - 76*g - 780 for g. -15 Solve 0 = 104*s - 1890 - 606 for s. 24 Solve 252*r = 125*r - 1905 for r. -15 Solve -71*m - 1730 = -949 for m. -11 Solve -48*y = 237*y + 285 for y. -1 Solve -25*j + 39*j = -37*j - 204 for j. -4 Solve -148*w + 80*w = 131*w + 110*w for w. 0 Solve 95*r + 21*r = -28*r + 1296 for r. 9 Solve -10 - 24 = 5*f + 26 for f. -12 Solve -77633*i + 9 = -77636*i for i. -3 Solve -251 = 105*c - 1931 for c. 16 Solve -868*s = -1459*s + 14775 for s. 25 Solve 111 - 70 = -4*u + 65 for u. 6 Solve -31*h + 74 - 107 - 525 = 0 for h. -18 Solve -7220 = 120*i - 500*i for i. 19 Solve -8 + 68 = 1010*p - 1022*p for p. -5 Solve -115*q + 79*q + 360 = 0 for q. 10 Solve -117*p = 207 - 330 - 345 for p. 4 Solve -1340 = -5*s - 1355 for s. -3 Solve 1425 + 3591 = 228*p for p. 22 Solve -2*h - 14 - 19 = -23 for h. -5 Solve 243*h = -18*h - 4698 for h. -18 Solve -20*f + 0 - 33 = -31*f for f. 3 Solve -175 = -0*g - 28*g + 693 for g. 31 Solve 398 = 167*s + 1233 for s. -5 Solve -287 - 127 = 46*y for y. -9 Solve 118*v - 200*v - 492 = 0 for v. -6 Solve -25*j = 10*j + 26*j + 305 for j. -5 Solve -28*l + 1324 + 546 = -113*l for l. -22 Solve 21*k = 4417 - 4060 for k. 17 Solve -30*o - 17*o = 12*o + 944 for o. -16 Solve -85*i + 122*i + 58*i + 1805 = 0 for i. -19 Solve -433*l = 60*l + 5916 for l. -12 Solve 540*b - 532*b - 112 = 0 for b. 14 Solve q - 91 + 97 = 0 for q. -6 Solve 57906 - 57672 = 26*p for p. 9 Solve 2*r - 5187 = -5193 for r. -3 Solve 854*u = 2896 - 12290 for u. -11 Solve 401 + 6 = 138*y - 421 for y. 6 Solve -4758*a + 4797*a = 78 for a. 2 Solve 51*t - 119*t = -56*t - 492 for t. 41 Solve -20*r + 30*r + 345 = -105*r for r. -3 Solve -89906*s + 819 = -89843*s for s. 13 Solve 0 = -23*t + 57322 - 57989 for t. -29 Solve -8860*x + 230 = -8870*x for x. -23 Solve 614 + 542 = -34*g for g. -34 Solve -884 = -11*t - 41*t for t. 17 Solve -75*t - 180*t - 1020 = 3825 for t. -19 Solve -245 = -133*t - 32*t + 250 for t. 3 Solve -2074 = -236*g + 286 for g. 10 Solve -56288 = -15*w - 55943 for w. 23 Solve -32088*u = -32051*u + 629 for u. -17 Solve 17*w + 21274 = 21002 for w. -16 Solve -30*q = 664 + 375 - 229 for q. -27 Solve -8*z = 14*z - 6*z + 144 for z. -9 Solve -140*j + 286*j - 374 = 112*j for j. 11 Solve 780*y + 852 = 709*y for y. -12 Solve -7*r = -0*r - 69 - 15 for r. 12 Solve 13*g = -843 + 674 for g. -13 Solve 102 + 48 = 150*z for z. 1 Solve 0 = -2428*g + 2453*g - 50 for g. 2 Solve 391*j - 10 = 365*j + 68 for j. 3 Solve -1177*r + 155*r = 26572 for r. -26 Solve -164*k + 1368 = 159*k - 251*k for k. 19 Solve -670 - 720 = 143*n - 389 for n. -7 Solve 0 = -29*v + 34*v - 50 for v. 10 Solve -1152 = -53*z + 91*z + 58*z for z. -12 Solve -444*m - 164 + 1201 = -5623 for m. 15 Solve -21*x + 3011 = -170*x - 1012 for x. -27 Solve -157*o = 11*o + 52*o - 3520 for o. 16 Solve 22*d = 956 - 1154 for d. -9 Solve 54*k + 56*k = -2086 - 554 for k. -24 Solve 530 = 87*b - 1364 + 502 for b. 16 Solve 321 = 574*q - 641*q - 617 for q. -14 Solve -9 = -41*y - 140 + 992 for y. 21 Solve -27*d - 69*d = 192 for d. -2 Solve 623084*a = 623168*a + 2604 for a. -31 Solve -49*b - 135 = -151 - 572 for b. 12 Solve -646 + 224 = 110*o + 678 for o. -10 Solve 160*f + 1203 - 308 = -2305 for f. -20 Solve 2*t = -9*t - 369 + 94 for t. -25 Solve -9*x + 21*x - 22 = 38 for x. 5 Solve 3643 = 604*z - 3001 for z. 11 Solve 182*l + 2253 + 3025 = 0 for l. -29 Solve -7*s - 585 = -34*s - 12*s for s. 15 Solve 0*o + 16*o = 12*o + 28 for o. 7 Solve 229*j + 2262 = 55*j for j. -13 Solve 163*q = 153*q - 133 + 63 for q. -7 Solve -27*x = -13*x - 170*x + 5460 for x. 35 Solve -3*f - 31*f = 64*f + 98 for f. -1 Solve -185 - 171 = 89*f for f. -4 Solve 28 - 11 = -6*o - 43 for o. -10 Solve 18 = -14*g + 88 + 14 for g. 6 Solve 4*s + 136 = -4*s + 40 for s. -12 Solve -q + 2836 = 2835 for q. 1 Solve 0 = -1097*g - 1099*g + 2162*g for g. 0 Solve 21*f - 1127 = -1526 for f. -19 Solve 0 = 21*j - 42*j - 231 for j. -11 Solve 9 - 492 = -21*p - 2*p for p. 21 Solve -1985 = 15*y - 1790 for y. -13 Solve 0 = 34*a - 121 - 15 for a. 4 Solve -17 = -47*v + 406 for v. 9 Solve -5871*y + 5837*y = 68 for y. -2 Solve -2645 = 40*k - 1205 for k. -36 Solve 20*c + 664 = -702 + 1146 for c. -11 Solve 30994 = 19*p - 81*p + 30498 for p. -8 Solve 0 = 45*z - 195429 + 195789 for z. -8 Solve -712 = 224*w + 2648 for w. -15 Solve 48*k + 83 + 83 + 122 = 0 for k. -6 Solve -173*r + 955 = -361 + 278 for r. 6 Solve 0 = 98537*m - 98545*m + 40 for m. 5 Solve -318*o + 10670 = 749*o for o. 10 Solve 0 = 11*p + 37 - 81 for p. 4 Solve 72*y - 7997 = 140*y + 659*y for y. -11 Solve -128 = 4542*n - 4558*n for n. 8 Solve 23*q = -112 - 164 for q. -12 Solve -168*o - 1273 = 94*o - 5727 for o. 17 Solve 44*c + 21*c - 44 = 866 for c. 14 Solve 2567*d - 2706*d = 3197 for d. -23 Solve 5526*q - 5531*q - 70 = 0 for q. -14 Solve 89*n - 420 = 54*n for n. 12 Solve 0 = 7*i - 296*i - 2601 for i. -9 Solve 99*z + 71744 = 72041 for z. 3 Solve -44692*q + 44696*q - 14 = -110 for q. -24 Solve 52*m + 11217 = -321*m - 1465 for m. -34 Solve -181*j + 56642 - 53203 = 0 for j. 19 Solve 3*j - 37 = -55 for j. -6 Solve 172 = -55*l - 142 - 181 for l. -9 Solve 12628 = 371*r + 203*r for r. 22 Solve 1354 - 793 = -51*v for v. -11 Solve 3*f - 5852 = -5873 for f. -7 Solve 0 = 330*l - 202*l + 384 for l. -3 Solve -3*k = 64*k + 737 for k. -11 Solve 143256*f - 140 = 143246*f for f. 14 Solve 101*n + 295 - 526 = 981 for n. 12 Solve -53*g = -27 - 9 - 17 for g. 1 Solve 4026 - 7845 = -267*g + 4191 for g. 30 Solve -39*q - 107*q + 939 = 167*q for q. 3 Solve 2651 = -58*w + 1897 for w. -13 Solve 67*j + 244*j = 336 + 1841 for j. 7 Solve 1571 - 262 = -77*l for l. -17 Solve 2141*k + 56 = 2133*k for k. -7 Solve 317 = 47*d - 385 + 279 for d. 9 Solve 12*f - 6*f = 12*f + 150 for f. -25 Solve -133 = -373*m + 391*m + 11 for m. -8 Solve -334 + 183 = 87*z + 719 for z. -10 Solve 6*u + 9*u = 5*u + 60 for u. 6 Solve 287*q + 534 = 20*q for q. -2 Solve -542*j - 121*j + 178*j - 12125 = 0 for j. -25 Solve 10*v = 344 - 404 for v. -6 Solve -201587*u + 201627*u = 1280 for u. 32 Solve 0 = 189*a - 145 + 1279 for a. -6 Solve -19*y + 151*y = -221*y + 2471 for y. 7 Solve -1372*x - 11 = -1383*x for x. 1 Solve 0 = 9*b + 53 + 73 for b. -14 Solve -133*r - 4064 + 796 = 39*r for r. -19 Solve -23166 = j - 23179 for j. 13 S
{ "pile_set_name": "DM Mathematics" }
7 a composite number? False Is 42957165409 composite? False Is 963599467 composite? True Is 192133671559 a prime number? False Is 1757994163 composite? False Is 6489585059 prime? True Is 293234113 composite? False Is 7072694897 prime? False Is 49677289201 a prime number? True Is 826907579 a composite number? False Is 16890542183 a prime number? False Is 3879114277 prime? False Is 4440119293 prime? False Is 25791852817 prime? False Is 956143477 a prime number? False Is 29189932489 prime? True Is 4745444803 a composite number? True Is 163060967 composite? False Is 1061163247 prime? False Is 4598444219 prime? True Is 167152378493 a composite number? True Is 235568951 prime? True Is 2248092221 a composite number? True Is 18401447073 a prime number? False Is 88487513311 a prime number? False Is 4457780531 composite? False Is 1810404467 a composite number? False Is 879201941 composite? False Is 46824630013 a composite number? True Is 57442236053 composite? True Is 528637103 a prime number? False Is 27955771 a prime number? True Is 19047501791 prime? False Is 22927706513 a composite number? False Is 39632017 a prime number? True Is 1906231897 a composite number? True Is 2304865609 composite? False Is 78841333 a composite number? False Is 513172459 a prime number? True Is 276905977 composite? True Is 21249502873 prime? False Is 453180259 prime? False Is 5199790133 a prime number? True Is 1320344041 prime? True Is 497884559 a composite number? True Is 300979709 a prime number? False Is 17478727951 composite? True Is 7633951327 composite? False Is 435780717 composite? True Is 84065239 prime? False Is 5920162337 a prime number? True Is 115655719 composite? True Is 3445406267 a composite number? True Is 44266069217 a composite number? True Is 31341665249 a prime number? True Is 554692379 prime? True Is 539041441 composite? False Is 16864228763 composite? False Is 135231320137 prime? False Is 5706040399 prime? False Is 3911183641 a prime number? False Is 1203902569 a prime number? True Is 392450323 a prime number? True Is 287769629987 composite? True Is 332225000797 prime? False Is 3157808111 prime? True Is 48407794349 composite? True Is 28203590267 prime? False Is 94066127 a composite number? False Is 4817266981 a composite number? True Is 36180574757 composite? False Is 131247931 composite? False Is 6020030707 a prime number? False Is 7860472814 a prime number? False Is 1558133111 composite? True Is 5029116107 a composite number? True Is 12422981419 a prime number? True Is 780847601 prime? True Is 1652398999 composite? False Is 19734275629 a prime number? True Is 3164850941 a prime number? False Is 114680161 a prime number? True Is 4059533473 prime? True Is 2440216153 a prime number? True Is 98277871 prime? True Is 1150958033 prime? True Is 217731323 prime? False Is 16027861247 a composite number? True Is 1989875549 a composite number? False Is 12727587161 a composite number? True Is 29709292127 prime? True Is 1929460315 a composite number? True Is 3840334021 prime? False Is 921856099 a prime number? True Is 151302616499 prime? False Is 19247690939 a composite number? True Is 2916083249 prime? True Is 6245668901 a composite number? False Is 44853136513 a composite number? False Is 457412513 a prime number? False Is 4405331497 a prime number? False Is 157689953 a prime number? False Is 3087692317 prime? False Is 1368924321 prime? False Is 20611536523 a prime number? False Is 253007507 composite? False Is 5696359835 prime? False Is 38304855539 prime? False Is 13334918131 composite? False Is 12454480421 a composite number? False Is 1353884803 a composite number? True Is 4572591169 composite? True Is 61661513495 a prime number? False Is 177460195013 a composite number? False Is 574241951 prime? False Is 5475130753 a prime number? True Is 13554810817 a prime number? True Is 16576730749 composite? True Is 977580683 a composite number? True Is 1172101313 a prime number? False Is 2125053199 a composite number? True Is 20774844317 a prime number? False Is 15764045665 a composite number? True Is 24245910147 composite? True Is 9735205127 prime? True Is 25058940553 a prime number? True Is 214298543 composite? False Is 3203595937 a composite number? True Is 51935593933 a composite number? True Is 339490535 a composite number? True Is 34121594491 prime? True Is 235849 a composite number? False Is 588556313 composite? False Is 58170129869 prime? True Is 3669440029 composite? True Is 3561466523 composite? False Is 154933307 prime? False Is 13099326937 composite? True Is 795224653 a prime number? True Is 34543525967 a composite number? False Is 466389848495 composite? True Is 2516176883 a prime number? False Is 17652367409 prime? True Is 574377343 a composite number? True Is 8201763989 prime? False Is 2496632843 a prime number? True Is 7403986615 a prime number? False Is 162518528669 a composite number? True Is 2453042881 prime? True Is 1254432169 composite? True Is 8648228387 prime? False Is 761038397 prime? False Is 3108615847 a composite number? False Is 10646669039 a prime number? True Is 336692687 a prime number? True Is 8002582213 prime? True Is 1473980897 a composite number? False Is 487190597 a prime number? True Is 5728625087 prime? True Is 93709051 a prime number? False Is 17116353739 a composite number? True Is 5455264795 prime? False Is 37389255509 prime? True Is 1577726897 prime? False Is 4398288031 a prime number? True Is 7242500543 a prime number? False Is 1322490167 a prime number? True Is 657276731 a composite number? False Is 10348731347 a prime number? True Is 3526277197 a composite number? False Is 335362479 prime? False Is 4290848587 a prime number? False Is 60698240119 prime? False Is 11255844179 prime? False Is 8651021381 a composite number? True Is 17577278959 a composite number? False Is 46479803297 prime? True Is 1409937923 prime? True Is 19687067461 prime? True Is 396462947 a prime number? True Is 89799139 prime? True Is 306666977 a composite number? True Is 1122784709 a composite number? False Is 88189385 prime? False Is 5139152789 a composite number? True Is 44890181723 prime? True Is 2009239 prime? True Is 449192251 a prime number? False Is 1178858231 prime? False Is 940793827 composite? False Is 11625429163 a prime number? True Is 541087451 a prime number? False Is 26201622803 a prime number? True Is 32995806211 a composite number? True Is 25027421093 composite? False Is 872515991 prime? False Is 57667301873 composite? True Is 9979969861 a composite number? False Is 59603388089 prime? False Is 1590881 prime? False Is 7151251 a composite number? True Is 44922074291 composite? True Is 17546293805 a composite number? True Is 2222126743 a composite number? False Is 6407225953 composite? True Is 44900981 prime? False Is 11215207579 a composite number? False Is 4830617071 prime? False Is 558950813 composite? False Is 1490580547 a prime number? True Is 846159337 composite? True Is 5153783 a composite number? True Is 1125809422 composite? True Is 1311972569 prime? False Is 1032449351 composite? False Is 303314941 a composite number? False Is 1477775011 prime? False Is 4575326779 a prime number? False Is 19467104473 a composite number? False Is 1282807033 composite? True Is 1473259343 a prime number? True Is 8711198389 a composite number? True Is 42981718709 composite? False Is 8008043987 a prime number? False Is 8067044309 prime? True Is 286238897729 prime? True Is 1261087853 a prime number? True Is 682307159 a prime number? True Is 33424681403 a composite number? False Is 50610619 a prime number? True Is 343768111 a prime number? False Is 15929029301 prime? True Is 177805687 a prime number? True Is 7738058897 composite? True Is 3393829073 composite? False Is 233818499 composite? False Is 16198427759 composite? False Is 525621367 a prime number? True Is 93617269073 a composite number? False Is 1693871747 a composite number? False Is 81240917167 a prime number? False Is 7931221003 composite? True Is 21560562031 a composite number? True Is 49716249461 prime? True Is 15723108343 a composite number? False Is 29330445607 a composite number? True Is 19767126209 a composite number? True Is 139618949 a composite number? True Is 1506135599 a composite
{ "pile_set_name": "DM Mathematics" }
y? 5520 Convert 726305.5l to millilitres. 726305500 What is eleven tenths of a week in minutes? 11088 How many nanometers are there in eleven quarters of a micrometer? 2750 How many litres are there in 17.49813ml? 0.01749813 Convert 0.2838158 microseconds to nanoseconds. 283.8158 What is eleven quarters of a millisecond in microseconds? 2750 How many micrograms are there in 178.7864mg? 178786.4 How many millimeters are there in 0.3454266 nanometers? 0.0000003454266 What is 59/4 of a century in months? 17700 What is 544.9368 decades in months? 65392.416 How many millilitres are there in 0.336689l? 336.689 How many tonnes are there in 8.7917ng? 0.0000000000000087917 How many millennia are there in 990031.8 decades? 9900.318 What is 7/2 of a litre in millilitres? 3500 How many grams are there in one tenth of a tonne? 100000 What is 58594.1 kilograms in grams? 58594100 Convert 0.2109362cm to micrometers. 2109.362 What is 3/10 of a day in minutes? 432 Convert 0.4780379 centuries to years. 47.80379 How many nanograms are there in five quarters of a microgram? 1250 What is 3/40 of a litre in millilitres? 75 What is 39.12978 kilograms in grams? 39129.78 How many micrometers are there in fifty-one halves of a millimeter? 25500 What is 1/4 of a day in seconds? 21600 How many nanograms are there in 8.23774t? 8237740000000000 Convert 4.80475 days to nanoseconds. 415130400000000 How many years are there in nine tenths of a decade? 9 What is 17/10 of a tonne in kilograms? 1700 What is 71865.48 meters in kilometers? 71.86548 Convert 6163.484 milliseconds to seconds. 6.163484 How many milligrams are there in one tenth of a kilogram? 100000 How many minutes are there in 1/10 of a week? 1008 What is one fifth of a minute in seconds? 12 What is five quarters of a day in hours? 30 What is 1/4 of a gram in milligrams? 250 What is twenty-one fifths of a litre in millilitres? 4200 Convert 26.68665km to micrometers. 26686650000 What is three fifths of a litre in millilitres? 600 How many centimeters are there in 8/25 of a kilometer? 32000 How many nanograms are there in 89851.54ug? 89851540 How many grams are there in 7.690616mg? 0.007690616 What is twenty-five quarters of a hour in seconds? 22500 How many millimeters are there in 2785.719cm? 27857.19 How many micrograms are there in 3/25 of a milligram? 120 How many grams are there in 7.328536ug? 0.000007328536 How many microseconds are there in 11/2 of a millisecond? 5500 How many millimeters are there in seventy-four fifths of a meter? 14800 What is five eighths of a litre in millilitres? 625 What is twenty-one quarters of a milligram in micrograms? 5250 Convert 85.52448cm to millimeters. 855.2448 How many micrometers are there in 3/50 of a meter? 60000 Convert 30020.45 millennia to decades. 3002045 What is 1/10 of a gram in milligrams? 100 What is 8.2088 decades in years? 82.088 What is seventeen halves of a meter in millimeters? 8500 Convert 456994.5s to microseconds. 456994500000 How many months are there in seven thirds of a millennium? 28000 Convert 8628.013 kilometers to millimeters. 8628013000 What is 441706.2 years in centuries? 4417.062 What is 1523052.3 months in years? 126921.025 What is 471.995 centuries in months? 566394 How many centimeters are there in 295631.1 nanometers? 0.02956311 What is 0.285491 decades in months? 34.25892 Convert 93.39769 hours to nanoseconds. 336231684000000 What is 28/9 of a hour in seconds? 11200 Convert 8.49367 millilitres to litres. 0.00849367 What is one fifth of a minute in milliseconds? 12000 How many kilometers are there in 13.92241 micrometers? 0.00000001392241 How many minutes are there in 19.617948 milliseconds? 0.0003269658 What is thirteen eighths of a millennium in months? 19500 How many milligrams are there in 966.3824g? 966382.4 What is 59/5 of a decade in months? 1416 What is 955.351ml in litres? 0.955351 Convert 723875.2ug to milligrams. 723.8752 Convert 6.335479ml to litres. 0.006335479 Convert 180.5338 decades to years. 1805.338 What is 0.922026um in millimeters? 0.000922026 How many milligrams are there in 172.4743 tonnes? 172474300000 How many litres are there in 6.745424 millilitres? 0.006745424 How many millimeters are there in eleven halves of a meter? 5500 Convert 716455.9 tonnes to nanograms. 716455900000000000000 How many milliseconds are there in 21/8 of a second? 2625 What is one quarter of a litre in millilitres? 250 What is 21/5 of a meter in millimeters? 4200 How many months are there in 3/40 of a century? 90 What is 0.977498 decades in millennia? 0.00977498 How many grams are there in seven quarters of a kilogram? 1750 What is 51/2 of a micrometer in nanometers? 25500 What is fourty-five quarters of a minute in seconds? 675 What is 5/4 of a litre in millilitres? 1250 What is 1/5 of a day in minutes? 288 Convert 682.047 days to microseconds. 58928860800000 What is 45/2 of a gram in milligrams? 22500 What is 0.7600932 months in decades? 0.00633411 How many millimeters are there in 43515.05um? 43.51505 What is 7/4 of a litre in millilitres? 1750 How many kilograms are there in 42/5 of a tonne? 8400 How many centuries are there in 48181.8 years? 481.818 What is 4.999364cm in micrometers? 49993.64 What is seventy-seven fifths of a gram in milligrams? 15400 How many meters are there in 50394.41um? 0.05039441 What is 1457705.1 months in centuries? 1214.75425 Convert 133844.6kg to micrograms. 133844600000000 How many centimeters are there in 3/40 of a kilometer? 7500 How many millennia are there in 94604.38 years? 94.60438 How many millilitres are there in 6/25 of a litre? 240 How many kilograms are there in 3/10 of a tonne? 300 How many micrometers are there in three eighths of a millimeter? 375 Convert 928.7835km to millimeters. 928783500 What is 27/5 of a millennium in years? 5400 How many nanograms are there in one twentieth of a milligram? 50000 How many millilitres are there in 3/5 of a litre? 600 What is sixty-nine halves of a litre in millilitres? 34500 What is 10363.26cm in micrometers? 103632600 How many nanograms are there in six fifths of a microgram? 1200 What is one fifteenth of a week in minutes? 672 How many centimeters are there in 57988.32 meters? 5798832 Convert 94577.49mg to kilograms. 0.09457749 How many milliseconds are there in 0.1750257 hours? 630092.52 What is 55665054.9 nanoseconds in weeks? 0.00000009203878125 What is 40375.12 milligrams in micrograms? 40375120 Convert 5775.398ms to microseconds. 5775398 How many millilitres are there in twenty-six fifths of a litre? 5200 How many millilitres are there in 13/4 of a litre? 3250 What is seven quarters of a meter in millimeters? 1750 Convert 87018.38g to kilograms. 87.01838 How many millilitres are there in three fifths of a litre? 600 What is 19301101.2 seconds in days? 223.392375 What is 835.7381 years in months? 10028.8572 What is 42/5 of a kilogram in grams? 8400 What is 2/21 of a week in seconds? 57600 What is 1/10 of a decade in months? 12 Convert 910.7253 centuries to years. 91072.53 What is 1.925775mg in nanograms? 1925775 How many months are there in 0.8590062 years? 10.3080744 How many micrograms are there in 45189.76mg? 45189760 How many months are there in eleven tenths of a decade? 132 What is 78546.22mm in kilometers? 0.07854622 How many millilitres are there in 0.4861243 litres? 486.1243 What is 107212.49 days in weeks? 15316.07 What is 25/8 of a litre in millilitres? 3125 How many meters are there in 55/2 of a kilometer? 27500 How many millilitres are there in seven eighths of a litre? 875 What is 1/10 of a gram in micrograms? 100000 How many meters are there in one quarter of a kilometer? 250 Convert 6.103792 milligrams to grams. 0.006103792 What is 3/8 of a kilogram in grams? 375 How many kilograms are there in 8711.565 grams? 8.711565 What is fourty-seven quarters of a hour in seconds? 42300 How many seconds are there in two ninths of a hour? 800 How many centuries are there in 921.9998 millennia? 9219.998 Convert 1853.46 kilograms to milligrams. 1853460000 How many centimeters are there in 4.327615 meters? 432.7615 How many days are there in 497.68425 minutes? 0.3456140625 What is 24567.26 millilitres in litres? 24.56726 How many millilitres are there
{ "pile_set_name": "DM Mathematics" }
2, z, 3, 36 Suppose -64 = 46*c - 78*c. Suppose 0*s + 4*s + 8 = 0. Let t(n) = -5*n**2 + 1. Let b be t(1). Put s, b, c in ascending order. b, s, c Suppose -13*d + 83 = 148. Sort 3, d, -24, 4. -24, d, 3, 4 Let y(l) be the third derivative of l**5/60 - l**4/8 - l**3/2 + 8*l**2. Let d be y(2). Let p = 198 + -1581/8. Sort 5, d, p in decreasing order. 5, p, d Let u = 190/3 - 64. Let n = -0.854 + -0.146. Sort 4, 1/4, u, n in increasing order. n, u, 1/4, 4 Let l = -8.728 - -8.758. Suppose 2*g - 12 = -0*h - 2*h, 2*g - 4*h = -6. Put l, g, -0.1 in increasing order. -0.1, l, g Let h = 8 - 4. Let c = -94 + 97. Sort h, c, -10 in descending order. h, c, -10 Suppose 5*n = 5*j + 12 + 8, -5*j = -4*n + 20. Let u = -29 - -34. Put u, -1, n in increasing order. -1, n, u Let d = 242.2 + -242. Sort -2/153, d, -5/2. -5/2, -2/153, d Suppose 0 = 26*z - 28*z + 1098. Let d be 305/z*2/(2/(-3)). Sort 4, d, 0.5 in increasing order. d, 0.5, 4 Let m = 1.5 - 9.5. Let t = 74.8 - 84. Let p = -9 - t. Sort m, p, -3/5 in decreasing order. p, -3/5, m Let v = -1198 + 1195. Let s = -0.8 - 3.2. Sort v, 0.4, s, -11. -11, s, v, 0.4 Let w = -7 - -4. Suppose -5*l + 30 = 10. Suppose 6*c - 3*c = -4*y - 8, -21 = l*c - 5*y. Put w, 0, c in increasing order. c, w, 0 Let r = -28 + 20. Let s = 4364 - 4359. Sort 4, r, s in decreasing order. s, 4, r Let u(r) = r**3 - 32*r**2 + 62*r - 34. Let g be u(30). Put 2, 3, 0, g in ascending order. 0, 2, 3, g Let a = 334 + -328. Put a, -1, -9, -4 in ascending order. -9, -4, -1, a Let u be 1036/(-126) + (-2)/(-9) - 4. Put -2, -3, u in decreasing order. -2, -3, u Let f be 27/(-4) + -7 + 14 - 0. Sort f, -4/5, 31 in increasing order. -4/5, f, 31 Let h(i) = i**2 - 15*i - 18. Let k be h(15). Let j = k - -17. Put -15, 3, 2, j in increasing order. -15, j, 2, 3 Let k = -431 - -430.8. Sort -5, k, 5. -5, k, 5 Let f = -577 + 574. Put -1, 2, -2, f in increasing order. f, -2, -1, 2 Let u = -113.32 - -0.32. Let b = -109 - u. Sort -0.4, -5, b, -6 in ascending order. -6, -5, -0.4, b Let n = 109/1212 - 2/303. Sort -3/4, n, -0.03, 1 in decreasing order. 1, n, -0.03, -3/4 Let f = -13 - -15.18. Let v = f - 2.1. Let j = 2.92 + v. Put j, -1, -4 in descending order. j, -1, -4 Let x be (-12)/369*24/16. Let i = -201/82 + x. Sort 0.3, -0.2, -0.02, i in increasing order. i, -0.2, -0.02, 0.3 Let b = 1718 - 1700.8. Sort 3, b, 0, -0.2 in increasing order. -0.2, 0, 3, b Let w = -34 + 27. Sort 5, 4, w in ascending order. w, 4, 5 Suppose 35 = 1997*t - 2004*t. Sort 7, -3, t in increasing order. t, -3, 7 Let x(a) = a - 10. Let d be x(6). Let t be -7*6/(-3) + d. Sort -3, t, -4. -4, -3, t Suppose 35 = 2*c + 5*u, -11 = 5*u - 36. Put -5, -7, c, 3 in ascending order. -7, -5, 3, c Suppose -2*q - 3*q + 5 = 0. Let n = -2 - -9. Suppose -n*m = -m + 18. Put q, 3, m in increasing order. m, q, 3 Suppose k - 3*k = -2. Let o = -1 + k. Suppose -9 = 38*c + 29. Put c, -3, o in decreasing order. o, c, -3 Let l be (8/(-5) + 1)/((-3)/(-15)). Let h(r) = r + 5. Let q be h(-5). Put q, l, -2 in decreasing order. q, -2, l Suppose 3*m = 4*m - 2. Suppose 3 + m = 5*j. Sort -5, j, 2. -5, j, 2 Let d(q) = -5*q**2 - 62*q - 62. Let f be d(-1). Sort 4, 10, f. f, 4, 10 Suppose 1053 = -7*i + 115. Put 0, i, -2 in ascending order. i, -2, 0 Suppose 2*k = 7*k - 5. Let o be k*-3 + 14/(-7). Sort o, -1, 4, 0 in descending order. 4, 0, -1, o Let h(y) = 6*y**2 - 5*y + 7. Let t be h(2). Let r be (-3)/5 - t/15. Sort 4, -1, r. r, -1, 4 Let u = 69.9 - 70.12. Put -2/9, 2, u, -1/2 in decreasing order. 2, u, -2/9, -1/2 Suppose 7*o - 3*o + 2*c = 52, -2*o - 3*c + 34 = 0. Let s = -61/7 - -9. Sort s, 2/11, o in descending order. o, s, 2/11 Let k(x) = -x**3 - 7*x**2 - x - 6. Let q be k(-7). Let j = -12 + 18. Let n be (0 - j)/(-1 - 1). Put q, n, 5 in descending order. 5, n, q Let m = -117 + 90. Let n = 23 + m. Sort -0.4, -2, n, -6/5 in ascending order. n, -2, -6/5, -0.4 Suppose -4*o = 3*y + 3, 2*y = -5*o - 0 - 9. Suppose -22 = -3*i - 16. Let h(x) = 2*x**2 - x - 1. Let r be h(i). Put y, r, 0 in increasing order. 0, y, r Let k = -121 - -125. Suppose -1 - 9 = 2*w. Put w, -4, k in decreasing order. k, -4, w Let d = 14 - 12. Suppose -d*j + 6 = -6. Suppose -3*y + j = -27. Sort y, 0, -5. -5, 0, y Suppose y = -0*y + 7. Suppose 19 = n + y. Let d be (n/(-20))/(4/(-10)). Put -1, 1, d in increasing order. -1, 1, d Let s = 9.9 + 2.1. Let q = 11.9 - s. Let l = 18 + -17.8. Sort -0.4, l, q in decreasing order. l, q, -0.4 Let z = 0.4978 - -0.0022. Put 0.4, z, -1, 0 in descending order. z, 0.4, 0, -1 Let x be 10 - (-2 + 6 - 4). Suppose 0*t = 2*t - x. Put 2, 0, t in decreasing order. t, 2, 0 Let c(h) = -h**2 + 9*h - 3. Let q(p) = -p**3 + 2*p**2 + 5*p. Let x be q(3). Let u be c(x). Sort -5, u, -2 in ascending order. -5, -2, u Suppose 3*r - 5*p = -20, 2 = -r - 5*p + 2*p. Sort -2/3, 27, r in decreasing order. 27, -2/3, r Let j(v) = v**2 + 2. Let m be j(0). Let r be 3/(-6)*3*m. Suppose 0 = 28*z + 20 + 8. Put -5, z, r in increasing order. -5, r, z Let t = 6.288 - 0.288. Put -0.05, 0.3, 0, t in descending order. t, 0.3, 0, -0.05 Let q = -1 + -2. Let z = -4598 - -4597.5. Put q, z, 1, 1/4 in decreasing order. 1, 1/4, z, q Let l = 216 - 214. Put 3/8, -0.7, l in decreasing order. l, 3/8, -0.7 Let i(u) = -u - 1. Let d be i(4). Suppose 119 + 31 = 10*j. Let k be 1 + -3*5/j. Sort d, k, 1. d, k, 1 Suppose -422*q = -425*q - 12. Put q, 2, 5, 4 in descending order. 5, 4, 2, q Suppose 0 = 4*f - 8*f. Sort f, 78, 3 in decreasing order. 78, 3, f Let i = 10.987 - -0.013. Let b be ((-63)/(-385))/((-8)/50). Let g = 14/11 + b. Sort i, 0.5, g. g, 0.5, i Let j = -528 + 527.96. Sort 4, -1, j, 3 in ascending order. -1, j, 3, 4 Suppose 26 = 2*y + 5*x, y - 3*x = -0*y - 9. Suppose 3*s + s = 5*j + 27, -s - 16 = 2*j. Sort j, y, 2. j, 2, y Let d = -8 - -12. Let w = 24 + -68/3. Sort w, d, -8. -8, w, d Let b = -1.1 + 1.2. Let q = -0.144 + 1.544. Put q, 1, b in decreasing order. q, 1, b Let q = 1041 + -1049. Put -3, 3, 4, q in decreasing order. 4, 3, -3, q Let o be 48/32*((-48)/8 + 4). Suppose 7*h - 2*h = d + 20, -2 = d + h. Put d, 1, o, -4 in decreasing order. 1, o, -4, d Let a = -24.85 + -0.15. Let o = -25 - a. Sort 0.2, 5, o, -4/9 in ascending order. -4/9, o, 0.2, 5 Suppose y + b = -5, -2*b = -6*y + 5*y - 2. Suppose -5*n = -4*n. Suppose n = -0*x + 4*x - 5*t + 1, 5*t = 5*x. Put x, y, -2 in descending order. x, -2, y Suppose -3*x + 12 = -2*s, 3*x - 31 + 10 = 5*s. Suppose -15*p = -16*p + 1. Sort 0, -5, s, p. -5, s, 0, p Let f be (-3 + 4 + 3)/(1 + 33). Sort 3, 4, f, 1 in decreasing order. 4, 3, 1, f Let y = -3121/9 + 347. Sort y, -3, -68, -3/7 in decreasing order. y, -3/7, -3, -68 Let y(m) = -5*m - 27. Let q be y(-6). Suppose b = -q*c - 12, 2*c - b - 2*b + 19 = 0. Put 5, 4, 3, c in ascending order. c, 3, 4, 5 Let b be 4/6 + 14/(-30). Let a = 303 + -298. Put a, 1/25, b in increasing order. 1/25, b, a Let w = -2.65 - -2.9. Let h = -0.45 + w. Sort -3/4, 0, h in increasing order. -3/4, h, 0 Let d = -186 + 185.94. Put 3/5, d, 1/4 in ascending order. d, 1/4, 3/5 Let a = -38 - -38. Suppose -19*r + 15*r + 28 = a. Sort r, 0, 0.3 in decreasing order. r, 0.3, 0 Let g = -89.1 - -89.6. Sort g, 2, 40.8 in ascending order. g, 2, 40.8 Let y(b) = -b**2 - 7*b + 5. Let l be y(-8). Suppose -r - 4*z + 11 = 29, -5*r = 5*z + 45. Sort -1, -4, l, r in decreasing order. -1, l, -4, r Let u = -0.016 - 2.284. Let o = -0.086 + 2.486. Let c = o + u. Put 0.05, 0, c in increasing order. 0, 0.05, c Suppose 2*s + 2*s - 5*y = 27, -s + 3*y + 12 = 0. Let d(z) = -11 + s*z - 3*z - z. Let b be d(-6). Put b, 5, -2 in ascending order. b, -2, 5 Let s be (0 - 5)*832/260. Put -5, -3, s in increasing order. s, -5, -3 Suppose -2 = -14*b + 13*b - 4*w, 4 = 2*b + 2*w. Sort 13, -3, b in decreasing order. 13, b, -3 Let i(d) = -d**3 + 3*d**2 + 2*d - 3. Let p be i(3). Let t = 4 - 1. Suppose t*f = 3*u + 6, f - 2*u = -1 - 0. Sort f, p, -1 in ascending order. -1, p, f Let g = 321 + -325. Put -15, 0, g, -2 in descending order. 0, -2, g, -15 Let y = 2 + 0. Suppose 5*t - 3*q = 54, 3*t + 2*q - 29 = 11. Suppose -5*n - 3 = -5*j + t, -4*n - j = 7. Put n, y, 1 in increasing order. n, 1, y Let a = 17 + -9. Suppose 3*f = -5*m + a, -f = -m + 2*m. Let r be (-2)/4 - (-4)/(-8). Put r, 9, m in descending order. 9, m, r Let r(s) = -6*s**2 + 10*s - 11. Let i be r(1). Sort 56, 3, -4
{ "pile_set_name": "DM Mathematics" }
(z) = -z**2 - z - 2. Let u = 374 + -372. Suppose u*g = 2*h + 8, 2*h = -0*g + 5*g - 11. Calculate b(h). -8 Let y(q) = q**2 - 15*q + 12. Let k be (-3860)/35 - (-4)/14. Let t = 124 + k. Determine y(t). -2 Suppose -420 = -3926*o + 3891*o. Let l(b) = -b**2 + 16*b - 8. Let z(k) = 2*k**2 - 31*k + 16. Let f(a) = 5*l(a) + 3*z(a). Determine f(o). -4 Let f(x) = x**2 + 10*x + 15. Let s be f(-8). Let w = 206 + -199. Let g(o) = 20*o - 1. Let q(t) = -21*t + 1. Let y(u) = w*g(u) + 6*q(u). Give y(s). -15 Let r(a) = -a**3 - 3*a**2 - 3*a. Suppose -2*i = 12 - 2, 2*v - 4*i - 24 = 0. Suppose v*o = o. Suppose z - 3*c + 5 = o, -5*z - 14 + 0 = -4*c. What is r(z)? 2 Let o(r) = -11*r - 55. Let u be o(-5). Suppose 0 = -4*k - 4*l - 16, -12 = 4*l - u*l. Let b(a) = 2*a**3 + 2*a**2 - 1. Determine b(k). -1 Let o(s) = -s**2 - 123*s + 9789. Let w be o(-178). Let l(h) = 4 + 7*h - 4 - 1. What is l(w)? -8 Let z(t) = -17*t - 443 + 872 - 353. What is z(4)? 8 Let t be (96/84)/(4/14). Let w(y) = 19*y**3 - 3*y**2 - t*y - 1 + y**2 + 20*y**3 - 38*y**3. What is w(3)? -4 Let t(h) = 4*h + 9. Let c(u) = 7*u + 133. Let i be c(-19). Suppose 5*n + 5*w + 60 = i, w = -6*n + 2*n - 33. What is t(n)? -19 Let d(g) = 14*g - 49. Let k(z) = -9*z + 33. Let x(i) = 5*d(i) + 8*k(i). Let c be ((-19)/(513/36))/(4/(-21)). Give x(c). 5 Let b(w) = w**3 + 7*w**2 + 6*w + 7. Suppose -4*l = -5*z, 3 = -l + 3*z - 4. Suppose -l*c = 15*c + 120. Calculate b(c). 7 Suppose -3*m + 3*t = 4*t + 30, -2*m = 2*t + 24. Let z(g) = -10 - g + 8 + 25 - 12 - 12. Determine z(m). 8 Let n(g) = g**2 + 3*g + 5. Let x(r) = r**3 + 14*r**2 + 30*r + 44. Let o(z) = -9*n(z) + x(z). Calculate o(-5). -16 Let w be ((-56)/(-63))/(-8) + (-1054)/153. Let p(i) = -2*i**3 - 14*i**2 + 5*i + 19. Calculate p(w). -16 Let c(o) = -5*o**2 - 46*o - 14. Let b(v) = -v**3 + 7*v**2 + 453*v - 84. Let g be b(25). What is c(g)? -5 Let s(l) = 3*l**3 + l - 1. Let k = 13 + -9. Suppose -k = -g + 6*z - 4*z, -g + z = -2. Suppose g = -3*d - 11 + 14. What is s(d)? 3 Suppose 170*c = 175*c + 35. Let t(i) = i**3 + 7*i**2 - 5*i. What is t(c)? 35 Let o(n) = -4*n**3 + 5*n**2 - 7*n + 2. Suppose -31*k - 187*k - 61*k + 837 = 0. What is o(k)? -82 Let h(q) = 26*q - 1. Let c(v) = -6*v**2 - 8*v - 20. Let s be c(8). Let p = s + 469. Give h(p). 25 Let v(w) = w**2 + 4*w - 4. Suppose 4*c = 4*y, -5*y + 30 = 3*c - 2*c. Suppose 4*r = y*m - 137, 112 - 16 = -3*r - 3*m. Let f = 27 + r. Determine v(f). 8 Let h(v) = v**2 - 43 + 22 + 0*v**2 + 24. Give h(0). 3 Let d(h) = -16 + 5183*h - 3 + h**2 - 5189*h - 20. Give d(-6). 33 Suppose -3*h + 9*i + 26 = 14*i, -9*h = 5*i - 38. Let u(x) = 2*x**2 + 3. What is u(h)? 11 Let m(z) be the second derivative of z**4/3 - 10*z**3 + 9*z**2/2 + 3337*z + 1. Determine m(15). 9 Let j be 9 + -7 - (3 - 3). Let p(t) = 12*t - t**j - t + 27 - 28 - 7*t. Calculate p(6). -13 Let t(m) = m**3 + 15*m**2 - 2*m - 21. Let n = -137 - -157. Let o be (12/(-8))/(2/n). What is t(o)? 9 Suppose 86*y - 174 = 85*y. Let i = y - 180. Let j(h) = h**3 + 5*h**2 - 6*h + 4. What is j(i)? 4 Let a(d) = -6*d**3 + 2*d + 1. Let c be a(-1). Let r(i) be the second derivative of 8*i - 1/2*i**3 + 1/12*i**4 + 0 + 3/2*i**2. Give r(c). 13 Suppose 1419*p - 1425*p - 42 = 0. Let k(c) = 3*c**3 - 3*c**2 - 5*c - 11. Let h(g) = 2*g**3 - 4*g**2 - 5*g - 10. Let x(w) = -4*h(w) + 3*k(w). Give x(p). -28 Let q(i) be the second derivative of -29*i**3/6 + 17*i**2/2 + 428*i + 2. What is q(1)? -12 Let o(g) = -5*g - 61. Let m(h) = -2*h + 5. Let d(q) = -m(q) + o(q). What is d(-16)? -18 Suppose -4*b = -24 + 4. Let o(w) = -7*w**2 + 16*w + 12. Let l(u) = 3*u**2 - 8*u - 6. Let m(h) = b*l(h) + 2*o(h). Give m(8). -6 Let l(h) = 5*h**2 - 12*h + 3. Let w(r) = 11*r**2 - 24*r - 2. Let s(n) = -13*l(n) + 6*w(n). Determine s(-13). -38 Let w(o) = -6*o**2 + 5452 - 10956 + 5497 + 2*o. Calculate w(2). -27 Let k(x) = 23*x - 3*x - 4*x**2 + 19*x - x**3 - 7 + 7*x**2 - 17*x. What is k(6)? 17 Let p(z) = -2*z**3 - 4*z**2 - 8. Let x(v) = v**3 + 3*v**2 + 7. Let s be (6/(-9))/((-2)/(-9)). Let j(u) = s*x(u) - 2*p(u). Let h = 207 - 207. What is j(h)? -5 Let v be 5123/(-470) - (-7)/(-70). Let z(o) = -17*o - 190. Calculate z(v). -3 Let d be 2 - 0/(4/1). Let w(l) = -13*l + d*l + 2 + 6*l**2 + 6*l - l**3 + 0*l**2. Let q(g) = -10*g - 5. Let t be q(-1). Calculate w(t). 2 Let k be 7*(6/(-4))/((-231)/44). Let i(f) = 257399*f + f**3 - 257399*f - 1 + 11*f**k. What is i(-11)? -1 Suppose 5*a + 5*w = -16 + 41, 10 = 2*a - 5*w. Let t(b) = -4*b**2 + 4*b - 9. Let j(n) = -3*n**2 + 4*n - 7. Let h(v) = a*j(v) - 4*t(v). Calculate h(3). 22 Let a(f) be the second derivative of f**8/6720 - f**7/2520 - 4*f**5/15 - 17*f**4/3 - 16*f. Let m(k) be the third derivative of a(k). Calculate m(0). -32 Suppose -62*a - 179 = 69. Let g(j) = -4*j**2 - 9*j. What is g(a)? -28 Let j be ((-4)/(-6))/((-8)/(-444)). Suppose 13*u - j = -24. Let b(k) = -3*k**2. Let s(d) = -d**2. Let c(r) = -b(r) - 6*s(r). What is c(u)? 9 Let y(x) = 11 - 106*x**2 - 10*x + 105*x**2 + 2*x. Suppose 3*m + 20 = -4*k - 22, -3*m - 51 = 5*k. Determine y(k). 2 Let z(x) = -153*x**2 + 151*x**2 + 4 + 20 - 2*x + 52*x. Calculate z(25). 24 Let y(f) = -f**3 - 5*f**2 - 6*f - 1. Let z = 119 - 159. Let g be (-54)/(-1)*(-2)/(-3). Let r = g + z. Give y(r). 7 Let f(x) = -2*x - 42. Let a be -15 + (-12 - (2 - 7)). Give f(a). 2 Let g be 15/(-30)*(2 - 1 - 3). Let k(w) = w + 2. Let r(q) = -q**2 - 2*q + 14. Let d(t) = g*r(t) - 3*k(t). What is d(-6)? 2 Let a = 86 - 79. Suppose 5*i = a*i - 4. Let h(c) = -4*c - 4*c**i + 2*c + 3*c**2. Determine h(-6). -24 Let u(c) be the third derivative of -c**5/60 - c**4/24 + c**3/3 - c**2. Let g(b) = -b - 8. Let n be g(0). Let f be (-6)/n*2 - (-3)/2. What is u(f)? -10 Let f be (-15 - -4)*4/3*6/(-44). Let y(n) = n**3 - 4*n**2 + 2*n - 2. Calculate y(f). -6 Let x(w) = 2*w**2 - 14*w - 193. Let g be x(-7). Let p(l) = -3 + 5*l**3 - l**3 + l**2 + 3*l**2 - 5*l**3. Calculate p(g). 6 Suppose 143 = 5*x - 12. Let t(l) be the first derivative of -56*l + 2 - 2*l**2 + 25*l + x*l. Calculate t(4). -16 Let g(o) = o**3 + 8*o**2 - 10*o - 6. Suppose -5*b + 44 = -3*b + 5*x, 127 = 5*b + 4*x. Let a be (1 - -1)/(3/150*5). Suppose -b = 23*z - a*z. Calculate g(z). 3 Let z(h) = 5*h**2 - 2*h - 5. Let f(y) = -3*y**2 + y + 3. Let b(d) = -8*f(d) - 5*z(d). Let l be b(-2). Let q(o) = -o**2 - 7*o + 4. Calculate q(l). 4 Let x(b) = -9 - 26 + 2*b**2 - 5*b + 5 + 49*b - 54*b. Calculate x(7). -2 Let n be -34*2/(-12)*3. Let k = -172 - -203. Let l(m) = -k + 15 + n - 4*m. Calculate l(-1). 5 Let k = -4 - -6. Let n(m) = 0*m - m - 5*m + 5*m - 2*m**k + 2. Determine n(2). -8 Let u(a) be the second derivative of -a**5/60 + 7*a**4/12 - 11*a**3/3 - 42*a**2 - a + 72. Let b(r) be the first derivative of u(r). Give b(12). 2 Let o(g) = -g**3 + 4*g**2 - 2*g + 3. Suppose -3*d + 2*c + 19 = 0, -7*d + 4*c = -6*d - 13. Suppose 58 - 43 = d*i. Determine o(i). 6 Let f(d) = 7 + 1 - 16*d**3 + 19*d**3 - 8*d**2 + 5*d**3 - 6*d**3. What is f(5)? 58 Let z(x) be the third derivative of -x**6/120 + x**5/20 + 7*x**4/24 - 5*x**3/6 + 2401*x**2. Determine z(3). 16 Let y(q) = 2*q**3 + 14*q**2 - 17*q - 7. Suppose 4*f + 2*n = -28, 34 = -5*f - 20*n + 17*n. Determine y(f). 1 Let n(j) = j**3 - 4*j**2 + 3*j + 2. Let d be n(3). Suppose -d*p = 3*p - 25. Let o(y) = -2 - 6*y + p*y - 4*y - y**2 + 0*y. Calculate o(-4). 2 Suppose 41 - 1 = 4*k. Suppose 0 = s + k*s + 77. Let a(p) = -p - 5. Determine a(s). 2 Suppose x + 3 = -2. Suppose -5*y + 45 + 95 = 0. Let z(f) = -4*f + 53 + 3*f - 32 - y. Give z(x). -2 Let q(w) = w - 6*w + 5 - 6 - 3*w. Suppose -9*b - 12 + 3 = 0. Calculate q(b). 7 Let r(z) = -5*z + 7*z + 578*z**2 + 2 - 288*z**2 - 292*z**2. Calculate r(2). -2 Let u(s) = 197*s - 432. Let f(a) = -16330*a + 35855. Let m(i) = -6*f(i) - 497*u(i). Calculate m(6). 0 Let x(u) be the third derivative of -u**4/6 - 67*u**3/2 + 13499*u**2. What is x(-51)? 3 Let r(f) be the first derivative of -f**3/6 - 4*f**2 - 76*f + 51. Let l(g) be the first derivative of r(g). What is l(-4)? -4 Let d(s) be the third derivative of s**5/60 + 5*s**3/6 + 3404*s**2. Determine d(-4). 21 Suppose -30 = -3*z - 7*z. Let o(t) = -t**2 - 26 + 2*t**3 + 2*t**3 + t**3 + 24 - 4*t**z. Give o(2). 2 Let k(w) = -499*w - 91 - 483*w + 1456*w - 60 - 496*w. Determine k(-7). 3 Suppose 0 = 2*o + 4*s - 4, -13*s + 15*s - 6 = -2*o. Let b(h) = -5*h**2 + 2*h - 10. Le
{ "pile_set_name": "DM Mathematics" }
wo letters picked without replacement from jpppppglj. 1/36 Three letters picked without replacement from vvvvv. Give prob of sequence vvv. 1 Two letters picked without replacement from ddddyddddpddydddd. What is prob of sequence py? 1/136 Two letters picked without replacement from qiqiqiqqiq. What is prob of sequence qq? 1/3 What is prob of sequence mk when two letters picked without replacement from ukmu? 1/12 Two letters picked without replacement from oodoooooodoooooddd. Give prob of sequence od. 65/306 Two letters picked without replacement from {y: 4, f: 3, w: 1, g: 3, c: 3, a: 1}. What is prob of sequence ac? 1/70 What is prob of sequence llaa when four letters picked without replacement from {a: 2, l: 7, e: 7}? 1/520 Calculate prob of sequence sett when four letters picked without replacement from {s: 1, r: 4, t: 5, g: 1, q: 1, e: 1}. 1/858 What is prob of sequence tf when two letters picked without replacement from tfn? 1/6 Two letters picked without replacement from {x: 2, b: 4, l: 2, u: 3}. What is prob of sequence ub? 6/55 Two letters picked without replacement from ccchccccchhchhcchcc. What is prob of sequence cc? 26/57 Three letters picked without replacement from {b: 1, u: 2, o: 2, p: 2, k: 1}. What is prob of sequence upb? 1/84 Two letters picked without replacement from dsesssssdsmss. Give prob of sequence de. 1/78 Three letters picked without replacement from uikhhxuk. Give prob of sequence ixu. 1/168 Calculate prob of sequence noqn when four letters picked without replacement from wqiqnwnkqqkiowk. 1/4095 Four letters picked without replacement from {h: 2, e: 4, c: 3, r: 2, m: 1, j: 2}. Give prob of sequence ejer. 2/1001 Four letters picked without replacement from gnvnnvgggngggggg. Give prob of sequence gngn. 9/364 What is prob of sequence qy when two letters picked without replacement from ouqyz? 1/20 Four letters picked without replacement from {l: 6, y: 2, x: 3, f: 4, h: 4, v: 1}. What is prob of sequence xfff? 1/1615 What is prob of sequence vsvz when four letters picked without replacement from {d: 2, v: 6, q: 2, z: 1, s: 4}? 1/273 Four letters picked without replacement from rzhahhe. What is prob of sequence ahrh? 1/140 Two letters picked without replacement from hhhhwhhhwh. What is prob of sequence wh? 8/45 Two letters picked without replacement from {a: 10, z: 2, c: 2}. Give prob of sequence cc. 1/91 Four letters picked without replacement from uuifhufuuuhuuuhuhr. Give prob of sequence uhfu. 1/102 What is prob of sequence ooot when four letters picked without replacement from xoxxytooyo? 1/210 Three letters picked without replacement from ggkvhkhhggeejge. What is prob of sequence vhg? 1/182 Calculate prob of sequence zzzz when four letters picked without replacement from zzooszzooozzopzzzoo. 21/646 What is prob of sequence sl when two letters picked without replacement from {l: 6, s: 2, w: 4}? 1/11 Four letters picked without replacement from {t: 1, k: 6, b: 1, p: 7}. What is prob of sequence ktpp? 1/130 Four letters picked without replacement from {v: 9, l: 1, r: 2, n: 2}. What is prob of sequence lvvn? 6/1001 Calculate prob of sequence atg when three letters picked without replacement from {j: 1, o: 1, a: 2, y: 1, g: 2, t: 1}. 1/84 Three letters picked without replacement from {c: 11, m: 4, w: 4}. What is prob of sequence wcw? 22/969 Two letters picked without replacement from axgbxbagtkttagb. Give prob of sequence tg. 3/70 Calculate prob of sequence cok when three letters picked without replacement from {c: 1, o: 1, x: 2, b: 2, k: 1}. 1/210 Three letters picked without replacement from yyyy. What is prob of sequence yyy? 1 Calculate prob of sequence bl when two letters picked without replacement from {k: 2, f: 2, u: 3, v: 5, b: 2, l: 2}. 1/60 Three letters picked without replacement from {z: 4, o: 3, c: 2, k: 2, s: 1}. Give prob of sequence zkc. 2/165 Calculate prob of sequence fk when two letters picked without replacement from wkfkk. 3/20 Four letters picked without replacement from {m: 4, j: 1, z: 3, t: 6}. Give prob of sequence mzjm. 3/2002 Three letters picked without replacement from rqrqqrqq. Give prob of sequence rqr. 5/56 What is prob of sequence zldd when four letters picked without replacement from zdddlzdddldlld? 8/429 Two letters picked without replacement from {c: 2, a: 1}. Give prob of sequence ca. 1/3 What is prob of sequence rr when two letters picked without replacement from {a: 2, h: 2, r: 4, t: 1}? 1/6 Calculate prob of sequence eej when three letters picked without replacement from jejhjjeeeee. 4/33 Two letters picked without replacement from phhhppxpphxxpxpp. Give prob of sequence xp. 2/15 Calculate prob of sequence jbqj when four letters picked without replacement from qrqjjb. 1/90 Four letters picked without replacement from ffnaaanfafafnfffa. Give prob of sequence naan. 3/952 Four letters picked without replacement from esssssssse. Give prob of sequence sses. 2/15 Three letters picked without replacement from {q: 5, i: 2}. Give prob of sequence iiq. 1/21 Calculate prob of sequence wnn when three letters picked without replacement from {w: 5, a: 2, n: 7}. 5/52 Three letters picked without replacement from {v: 1, c: 11, g: 2}. What is prob of sequence ccc? 165/364 Two letters picked without replacement from ynnndndyndyy. What is prob of sequence nd? 5/44 Three letters picked without replacement from {s: 2, t: 7, r: 3}. Give prob of sequence stt. 7/110 What is prob of sequence pj when two letters picked without replacement from kkrljklpkkkllkljlplk? 1/95 Two letters picked without replacement from {a: 2, j: 3, u: 9, f: 5}. What is prob of sequence ua? 1/19 Calculate prob of sequence vvvv when four letters picked without replacement from vvgvvgvv. 3/14 Two letters picked without replacement from {k: 9, g: 10}. What is prob of sequence kg? 5/19 What is prob of sequence aaq when three letters picked without replacement from qqqqqaaaqqqqqqqqqqqa? 8/285 Calculate prob of sequence qeqr when four letters picked without replacement from {q: 5, r: 5, a: 5, f: 2, e: 2}. 25/11628 What is prob of sequence vvc when three letters picked without replacement from vcvvvvcvcvvvcv? 15/91 What is prob of sequence vr when two letters picked without replacement from rllv? 1/12 What is prob of sequence fzb when three letters picked without replacement from fchbz? 1/60 Four letters picked without replacement from {a: 4, i: 4, y: 8}. Give prob of sequence yiaa. 4/455 What is prob of sequence olo when three letters picked without replacement from olllllololollo? 15/182 Three letters picked without replacement from {v: 1, z: 1, j: 2, b: 1, r: 2, i: 2}. Give prob of sequence zjj. 1/252 Calculate prob of sequence og when two letters picked without replacement from oboofbffoofgofooff. 4/153 What is prob of sequence dmm when three letters picked without replacement from cdcmdmdoddd? 2/165 Two letters picked without replacement from dmqqcxqmqmmqdxxqq. Give prob of sequence xd. 3/136 What is prob of sequence ttl when three letters picked without replacement from ltlggttltll? 2/33 Calculate prob of sequence zzuz when four letters picked without replacement from ypwzujy. 0 Four letters picked without replacement from ryqwaqqqqryayqeqrr. Give prob of sequence wywe. 0 Calculate prob of sequence icc when three letters picked without replacement from ccciccci. 5/28 Calculate prob of sequence slsl when four letters picked without replacement from sllssslslsllllsllsls. 22/323 Three letters picked without replacement from {x: 1, v: 1, o: 1, g: 2, z: 2}. What is prob of sequence vxg? 1/105 Three letters picked without replacement from {t: 3, k: 6, v: 2, d: 3, g: 1, p: 5}. Give prob of sequence pvk. 1/114 What is prob of sequence qwbq when four letters picked without replacement from bwqbm? 0 Two letters picked without replacement from gtx. What is prob of sequence tg? 1/6 Calculate prob of sequence ccd when three letters picked without replacement from {d: 2, c: 7, l: 1}. 7/60 What is prob of sequence zz when two letters picked without replacement from zzzzlzzzzlzlzzzz? 13/20 Calculate prob of sequence fvo when three letters picked without replacement from ooovoofvoo. 7/360 Two letters picked without replacement from lljlaallqeea
{ "pile_set_name": "DM Mathematics" }
*2 Factor -2000*h**3 + 1400*h**2 + 555*h + 45. -5*(h - 1)*(20*h + 3)**2 Find a, given that -2*a**5/3 + 10*a**4 - 106*a**3/3 - 86*a**2/3 + 92*a + 224/3 = 0. -1, 2, 7, 8 Factor 5*j**2 + 735*j + 2160. 5*(j + 3)*(j + 144) Suppose 3*j**3 + 9*j**2 - 39*j - 45 = 0. Calculate j. -5, -1, 3 Factor -s**3/4 + 85*s**2/4 + 173*s/4 + 87/4. -(s - 87)*(s + 1)**2/4 Find p such that p**4/4 + 5*p**3/4 - 57*p**2/4 + 99*p/4 = 0. -11, 0, 3 Factor -2*b**3/3 - 88*b**2/3 - 530*b/3 - 148. -2*(b + 1)*(b + 6)*(b + 37)/3 Factor j**5 - 2*j**4 - 7*j**3 - 4*j**2. j**2*(j - 4)*(j + 1)**2 Determine q, given that -5*q**4 - 285*q**3 - 250*q**2 + 1680*q = 0. -56, -3, 0, 2 Suppose -60*c**5 + 304*c**4 - 252*c**3 - 24*c**2 + 32*c = 0. Calculate c. -1/3, 0, 2/5, 1, 4 Find z such that -2*z**3 + 2*z**2 + 466*z + 1326 = 0. -13, -3, 17 Factor -y**5 - 7*y**4 - 18*y**3 - 20*y**2 - 8*y. -y*(y + 1)*(y + 2)**3 What is j in 4*j**2 + 10896*j + 7420176 = 0? -1362 Find o such that -4*o**4 + 12*o**3 + 160*o**2 = 0. -5, 0, 8 Find x, given that -80*x**5 - 1308*x**4 - 4164*x**3 + 9620*x**2 - 4716*x + 648 = 0. -9, 1/4, 2/5, 1 Let 36*j**3 - 100*j**2 - 212*j/9 - 4/3 = 0. What is j? -1/9, 3 Factor v**4 - 988*v**3 + 366054*v**2 - 60276892*v + 3722098081. (v - 247)**4 Solve 18*y**5/17 - 32*y**4/17 - 80*y**3/17 + 128*y**2/17 + 32*y/17 = 0 for y. -2, -2/9, 0, 2 Let 3*p**3 + 114*p**2 + 840*p = 0. Calculate p. -28, -10, 0 Factor 4*z**3 + 76*z**2 - 4*z - 76. 4*(z - 1)*(z + 1)*(z + 19) Factor -33*x**3 + 3108*x**2 - 3633*x + 558. -3*(x - 93)*(x - 1)*(11*x - 2) Find p, given that -2*p**2/9 + 304*p/9 - 302/9 = 0. 1, 151 Determine m, given that -m**5 - 8*m**4/3 - 2*m**3/3 + 4*m**2 + 13*m/3 + 4/3 = 0. -1, 4/3 Factor y**4/9 + 2*y**3/3 + 13*y**2/9 + 4*y/3 + 4/9. (y + 1)**2*(y + 2)**2/9 Determine p, given that -3*p**4/2 - 33*p**3/2 - 54*p**2 - 24*p + 96 = 0. -4, 1 Find v such that v**3/5 + 2*v**2/5 - 7*v/5 + 4/5 = 0. -4, 1 What is k in -k**2/2 - 4571*k/2 = 0? -4571, 0 Factor -4*k**3 - 23556*k**2 - 46240428*k - 30256653388. -4*(k + 1963)**3 Find u such that 81*u**4 + 6174*u**3 + 118333*u**2 + 26068*u + 1444 = 0. -38, -1/9 Find b, given that -b**5/6 + 37*b**4/3 + 166*b**3 + 516*b**2 = 0. -6, 0, 86 Find o, given that 5*o**5/3 - 220*o**4/3 + 380*o**3 + 90*o**2 - 3555*o + 5130 = 0. -3, 3, 38 Determine d so that -2*d**4/9 + 22*d**3/3 + 70*d**2/9 - 22*d/3 - 68/9 = 0. -1, 1, 34 Determine v so that -v**4/6 + 5*v**3/6 + 2*v**2/3 - 22*v/3 + 8 = 0. -3, 2, 4 Factor 74*p**2 + 72*p - 2. 2*(p + 1)*(37*p - 1) Solve 3*l**2 + 51*l - 54 = 0 for l. -18, 1 Factor 3*r**4 + 18*r**3 + 15*r**2. 3*r**2*(r + 1)*(r + 5) Factor j**2/3 - 1528*j + 1751088. (j - 2292)**2/3 Factor 24*v**3/11 + 810*v**2/11 + 612*v - 1734/11. 6*(v + 17)**2*(4*v - 1)/11 Factor g**3 - 5*g**2/4. g**2*(4*g - 5)/4 Factor 2*h**4/15 - 6*h**3/5 + 2*h**2 - 14*h/15. 2*h*(h - 7)*(h - 1)**2/15 What is j in 2*j**2 + 348*j - 350 = 0? -175, 1 Suppose -22*u**3 - 439*u**2 - 398*u + 19 = 0. What is u? -19, -1, 1/22 Factor m**4/4 + 663*m**3/2 + 440893*m**2/4 + 219453*m + 109561. (m + 1)**2*(m + 662)**2/4 What is j in -2*j**4 - 2*j**3 + 6*j**2 + 2*j - 4 = 0? -2, -1, 1 Factor -5120*a**2 - 320*a - 5. -5*(32*a + 1)**2 Factor -t**2/3 - 43*t/3 - 14. -(t + 1)*(t + 42)/3 Solve 2*d**4/9 - 46*d**3/9 + 286*d**2/9 - 242*d/9 = 0 for d. 0, 1, 11 Find y such that -2*y**3/3 - 32*y**2/3 + 74*y + 84 = 0. -21, -1, 6 Factor 4*j**5 - 96*j**3 + 248*j**2 - 228*j + 72. 4*(j - 3)*(j - 1)**3*(j + 6) Suppose -f**2 - 38*f - 217 = 0. Calculate f. -31, -7 Factor -5*a**3 + 160*a**2 - 580*a + 560. -5*(a - 28)*(a - 2)**2 Factor p**3/7 - 167*p**2/7 + 7055*p/7 - 6889/7. (p - 83)**2*(p - 1)/7 Find y, given that -5*y**4 - 75*y**3 = 0. -15, 0 Factor -9*b**2/4 + 249*b/2 + 855/4. -3*(b - 57)*(3*b + 5)/4 Factor b**4/8 - 3*b**3/8 - 3*b**2/2 + 13*b/2 - 6. (b - 3)*(b - 2)**2*(b + 4)/8 Factor -25*u**2 + 35*u - 10. -5*(u - 1)*(5*u - 2) Factor 3*r**2 - 24*r + 45. 3*(r - 5)*(r - 3) Factor 3*b**3/7 - 1350*b**2/7 + 202500*b/7 - 10125000/7. 3*(b - 150)**3/7 Determine d, given that -2*d**3 + 24*d**2 - 54*d = 0. 0, 3, 9 Factor -3*z**3 - 348*z**2 - 1356*z - 1344. -3*(z + 2)**2*(z + 112) Factor 20*n**2 + 44*n + 8. 4*(n + 2)*(5*n + 1) Let 5*c**5 + 7*c**4 - 13*c**3 - 31*c**2 - 20*c - 4 = 0. Calculate c. -1, -2/5, 2 Factor -y**2 + 42*y - 117. -(y - 39)*(y - 3) Solve 6*g**4 - 46*g**3 + 56*g**2 + 24*g = 0 for g. -1/3, 0, 2, 6 Factor -4*o**3 - 50772*o**2 - 214816332*o - 302962633564. -4*(o + 4231)**3 Determine d, given that -11*d**4 - 51*d**3 + 33*d**2 + 175*d + 102 = 0. -51/11, -1, 2 Factor -4*b**3/7 + 64*b/7. -4*b*(b - 4)*(b + 4)/7 Factor -c**4 - 514*c**3 - 513*c**2. -c**2*(c + 1)*(c + 513) Factor -r**3 + 24*r**2 + 51*r + 26. -(r - 26)*(r + 1)**2 Factor x**4/6 + x**3/2 - 5*x**2/6 - x/2 + 2/3. (x - 1)**2*(x + 1)*(x + 4)/6 Factor 44*j**2 + 6*j/7 - 2/7. 2*(11*j + 1)*(14*j - 1)/7 Factor -3*n**3/8 + 45*n**2/4 + 27*n - 96. -3*(n - 32)*(n - 2)*(n + 4)/8 Factor 109*z**4/11 - 106*z**3/11 - 3*z**2/11. z**2*(z - 1)*(109*z + 3)/11 Find w, given that -6*w**3/11 - 48672*w**2/11 - 131609088*w/11 - 118623657984/11 = 0. -2704 Suppose -h**4 - 15*h**3 - 57*h**2 - 73*h - 30 = 0. What is h? -10, -3, -1 Suppose -15*r**3 + 456*r**2 - 807*r - 1278 = 0. Calculate r. -1, 3, 142/5 What is p in -4*p**3/7 - 1028*p**2/7 - 5064*p/7 - 864 = 0? -252, -3, -2 Find h, given that -h**3 + 43*h**2/3 + 10*h = 0. -2/3, 0, 15 Factor 2*a**3/3 - 116*a**2 + 230*a - 344/3. 2*(a - 172)*(a - 1)**2/3 Suppose -m**3/3 - 4*m**2/3 - m = 0. What is m? -3, -1, 0 Let -2*v**2/11 + 6*v - 64/11 = 0. Calculate v. 1, 32 Factor m**2/6 + 356*m/3 - 713/6. (m - 1)*(m + 713)/6 Let -3*u**3/2 - 2487*u**2/2 = 0. What is u? -829, 0 Factor 4*i**3 - 336*i**2 + 7956*i - 36504. 4*(i - 39)**2*(i - 6) Find a such that 2*a**5/5 + 4*a**4/5 - 4*a**2/5 - 2*a/5 = 0. -1, 0, 1 Factor -4*p**4 + 12*p**2 + 8*p. -4*p*(p - 2)*(p + 1)**2 Find j such that 2*j**4/23 + 86*j**3/23 + 1170*j**2/23 + 4050*j/23 - 13500/23 = 0. -15, 2 Solve 2*v**5/7 + 6*v**4/7 - 92*v**3/7 + 156*v**2/7 + 90*v/7 - 162/7 = 0 for v. -9, -1, 1, 3 Find f such that -4*f**3/5 - 24*f**2/5 - 36*f/5 - 16/5 = 0. -4, -1 Let -4*u**4 + 48*u**3 + 4*u**2 - 48*u = 0. What is u? -1, 0, 1, 12 Factor -3*n**3 + 6*n**2 + 93*n + 84. -3*(n - 7)*(n + 1)*(n + 4) Find p such that 4*p**2 - 412*p + 1584 = 0. 4, 99 Find y such that 2*y**3 + 20296*y**2/7 + 7352950*y/7 - 2102500/7 = 0. -725, 2/7 Determine x, given that x**2 + 41*x + 78 = 0. -39, -2 Determine p so that -4*p**2 - 116*p - 112 = 0. -28, -1 Factor -w**3/2 + 57*w**2 + 2065*w/2 + 975. -(w - 130)*(w + 1)*(w + 15)/2 Factor -m**3/2 + 1066*m**2 - 568178*m. -m*(m - 1066)**2/2 Factor -5*q**2/6 + 765*q - 351135/2. -5*(q - 459)**2/6 Factor -2*x**5 - 8*x**4 + 16*x**3 + 20*x**2 - 46*x + 20. -2*(x - 1)**3*(x + 2)*(x + 5) Determine o so that -o**5/2 - 9*o**4/2 - 29*o**3/2 - 39*o**2/2 - 9*o = 0. -3, -2, -1, 0 Suppose -5*u**3 - 190*u**2 - 1980*u - 3240 = 0. Calculate u. -18, -2 Find q such that -q**3 + 351*q**2 + 3585*q + 9025 = 0. -5, 361 Let 2*p**2 + 32*p + 110 = 0. What is p? -11, -5 Suppose 2*z**4/9 - 4*z**3/3 + 2*z**2 = 0. Calculate z. 0, 3 Factor 3*t**2 - 1452*t - 1455. 3*(t - 485)*(t + 1) Factor 2*g**2 + 106*g + 564. 2*(g + 6)*(g + 47) Find j such that -11*j**4 + 24*j**3 + 7*j**2 - 24*j + 4 = 0. -1, 2/11, 1, 2 Find r such that -2*r**5/5 - 22*r**4 - 1454*r**3/5 + 1678*r**2/5 + 1456*r/5 - 1568/5 = 0. -28, -1, 1 Determine a, given that a**3 - 9*a**2 + 26*a - 24 = 0. 2, 3, 4 Find t such that 140*t**4 + 9935*t**3 + 171005*t**2 - 187560*t + 6480 = 0. -36, 1/28, 1 Factor -n**4 - 1964*n**3 - 962358*n**2 + 1930612*n - 966289. -(n - 1)**2*(n + 983)**2 Factor 5*z**3 - 50*z**2 - 435*z - 720. 5*(z - 16)*(z + 3)**2 Factor -363*v**2/2 - 33*v - 3/2. -3*(11*v + 1)**2/2 Factor -3*g**2 + 13440*g - 15052800. -3*(g - 2240)**2 Let -2*s**2/7 + 46*s/7 - 120/7 = 0. What is s? 3, 20 Find b such that -b**3 - 6*b**2 + 96*b + 640 = 0. -8, 10 What is a in -2*a**2/17 + 36*a/17 - 64/17 = 0? 2, 16 Let -36*x**4/7 + 7656*x**3/7 - 409588*x**2/7 + 270512*x/7 - 44944/7 = 0. Calculate x. 1/3, 106 Let -4*u**4 - 20*u**3 - 12*u**2 + 20*u + 16 = 0. Calculate u. -4, -1, 1 Find b such that 4*b**3/5 + 24*b**2/5 - 4*b/5 - 24/5 = 0. -6, -1, 1 Factor -2*h**2 + 34*h - 120. -2*(h - 12)*(h - 5) Let -k**2/9 + 53*k/9 + 70 = 0. What is k? -10, 63 Let -3*j**4/2 + 9*j**3/2 + 27*j**2 = 0. Calc
{ "pile_set_name": "DM Mathematics" }
44, -273, -392, -495, -576, -629? -648 What is the next term in 136, 269, 402? 535 What is the next term in -90, -120, -170, -240, -330, -440? -570 What comes next: -19, -67, -145, -253? -391 What is next in 810, 809, 808? 807 What comes next: 11, 37, 79, 137, 211, 301, 407? 529 What is next in -91, -156, -207, -238, -243, -216? -151 What comes next: -188, -407, -626, -845? -1064 What is the next term in -26, -73, -160, -293, -478, -721? -1028 What is next in -745, -742, -739? -736 What comes next: -440, -418, -382, -326, -244, -130, 22, 218? 464 What is next in 1276, 1274, 1284, 1312, 1364, 1446? 1564 What is next in 119, 78, 37, -4, -45? -86 What comes next: -911, -1824, -2739, -3656, -4575, -5496? -6419 What is next in -61, -125, -167, -181, -161, -101? 5 What is next in 54, 56, 68, 96, 146, 224, 336, 488? 686 What is the next term in -13, -18, -23, -28? -33 What comes next: 8, -9, -52, -127, -240, -397? -604 What comes next: 20, -5, -42, -91, -152, -225? -310 What comes next: -44, -46, -48, -50? -52 What is next in -11498, -11499, -11500, -11501? -11502 What comes next: 121, 128, 135, 142? 149 What is the next term in 224, 894, 2010, 3572, 5580, 8034? 10934 What comes next: -63, -121, -179? -237 What is the next term in -452, -477, -504, -533? -564 What is next in -30, -56, -78, -96, -110? -120 What is the next term in -125, -254, -379, -500, -617, -730? -839 What is the next term in -2, -14, -42, -92, -170? -282 What comes next: -2, -25, -64, -119, -190? -277 What comes next: -1882, -1879, -1876, -1873? -1870 What is the next term in 919, 918, 915, 910, 903, 894, 883? 870 What is the next term in 402, 805, 1208? 1611 What is next in -104, -114, -124? -134 What comes next: 215, 205, 205, 221, 259? 325 What comes next: 5, 50, 171, 404, 785? 1350 What comes next: 33, 89, 169, 285, 449? 673 What is the next term in -60, -65, -72, -81? -92 What is next in -24, -101, -228, -405, -632, -909, -1236? -1613 What is next in -20, -41, -58, -71, -80? -85 What comes next: -154, -198, -232, -250, -246, -214, -148, -42? 110 What is next in -5, -29, -49, -65? -77 What is the next term in -24, -45, -66, -87, -108? -129 What is the next term in 443, 445, 449, 455, 463, 473? 485 What is the next term in -42, -166, -372, -660, -1030, -1482? -2016 What is the next term in 54, 40, 16, -18, -62, -116? -180 What is next in 25, 43, 61, 79, 97, 115? 133 What is the next term in -174, -347, -520, -693, -866? -1039 What is next in -5, -14, -9, 16, 67? 150 What is next in -92, -99, -108, -119? -132 What comes next: -86, -87, -90, -95, -102, -111, -122? -135 What comes next: 41, 58, 69, 68, 49? 6 What is next in -883, -1762, -2641, -3520? -4399 What is the next term in 28, 132, 312, 574, 924, 1368? 1912 What comes next: 23, 25, 31, 41, 55, 73? 95 What is the next term in -116, -142, -224, -392, -676, -1106? -1712 What is next in 67, 48, 39, 46, 75, 132, 223, 354? 531 What is the next term in -411, -413, -415, -417, -419, -421? -423 What comes next: 38, 69, 100? 131 What is the next term in -54, -118, -192, -276, -370, -474, -588? -712 What is the next term in 46, 149, 316, 547, 842? 1201 What is next in -1031, -1028, -1037, -1064, -1115, -1196, -1313? -1472 What is the next term in -322, -321, -310, -283, -234, -157, -46? 105 What is next in -60, -234, -520, -912, -1404? -1990 What is the next term in 1521, 1522, 1523? 1524 What is next in 40, 78, 116? 154 What is next in -366, -368, -374, -384, -398, -416, -438? -464 What is the next term in -132, -131, -128, -123, -116, -107? -96 What comes next: 103, 114, 139, 184, 255? 358 What is the next term in -22, -14, 0, 20, 46, 78? 116 What comes next: 3, 6, 13, 24, 39? 58 What is the next term in 817, 1644, 2485, 3346, 4233, 5152? 6109 What is the next term in 1223, 1224, 1225, 1226, 1227? 1228 What is next in -40, -130, -284, -508, -808, -1190, -1660, -2224? -2888 What comes next: -13, -26, -27, -10, 31, 102? 209 What is the next term in 125, 241, 367, 509, 673, 865, 1091, 1357? 1669 What is the next term in 27, 58, 95, 138? 187 What comes next: 24, 73, 162, 297, 484, 729? 1038 What is the next term in -12, 2, 30, 78, 152, 258, 402, 590? 828 What is next in -14, -43, -82, -125, -166, -199, -218, -217? -190 What is the next term in 5062, 5055, 5048, 5041, 5034? 5027 What is the next term in 4606, 4601, 4596? 4591 What is next in 5242, 5240, 5236, 5230, 5222, 5212, 5200? 5186 What comes next: 235, 482, 743, 1018, 1307, 1610, 1927? 2258 What is the next term in -5, -90, -313, -740, -1437, -2470, -3905, -5808? -8245 What is the next term in -639, -1279, -1919, -2559, -3199? -3839 What is the next term in -329, -342, -375, -434, -525, -654? -827 What is next in -11, -163, -577, -1385, -2719? -4711 What is the next term in 58, 80, 100, 112, 110? 88 What comes next: 244, 292, 374, 490? 640 What is next in -5, -24, -57, -110, -189? -300 What is next in -92, -364, -816, -1448, -2260? -3252 What is next in -17, -9, 11, 49, 111, 203? 331 What is the next term in 30, 108, 246, 450, 726, 1080, 1518? 2046 What comes next: -342, -667, -992, -1317, -1642, -1967? -2292 What is next in -23, -37, -51, -65, -79? -93 What comes next: 2187, 8740, 19661, 34950, 54607, 78632, 107025? 139786 What comes next: -235, -948, -2129, -3772, -5871? -8420 What comes next: 2409, 2407, 2405? 2403 What is the next term in -46, -79, -126, -193, -286, -411, -574? -781 What comes next: 1720, 1721, 1722, 1723, 1724? 1725 What is next in 185, 187, 189? 191 What comes next: -34, -68, -104, -142, -182, -224, -268? -314 What is next in -878, -1754, -2630, -3506, -4382? -5258 What is the next term in -82, -187, -288, -385, -478, -567, -652? -733 What is next in -178, -180, -182, -184? -186 What is next in 294, 586, 878? 1170 What is the next term in -24, -25, -28, -33, -40? -49 What is next in -63, -66, -69, -72, -75? -78 What is the next term in -66, -64, -66, -72, -82? -96 What is the next term in -2070, -2074, -2080, -2088, -2098, -2110, -2124? -2140 What is next in -3, 18, 59, 120, 201, 302, 423? 564 What is the next term in -230, -390, -550, -710, -870, -1030? -1190 What is the next term in 7, 18, 33, 52, 75, 102? 133 What is next in 189, 646, 1407, 2472? 3841 What comes next: 46, 72, 98? 124 What comes next: -27582, -27584, -27586, -27588, -27590, -27592? -27594 What comes next: 216, 232, 256, 288, 328, 376? 432 What is next in -83, -439, -1035, -1877, -2971, -4323? -5939 What is the next term in 28, 37, 68, 133, 244, 413, 652, 973? 1388 What comes next: 9, 35, 79, 141? 221 What is next in 70, 66, 62, 58? 54 What is the next term in -574, -1148, -1722, -2296, -2870? -3444 What is the next term in 12, 10, 8? 6 What is next in 140, 330, 506, 662, 792? 890 What is next in 22, -15, -116, -287, -534? -863 What comes next: 7, 23, 47, 79, 119? 167 What is next in 6, 6, -8, -42, -102? -194 What comes next: -181, -738, -1667, -2968, -4641, -6686? -9103 What is next in -21384, -42769, -64156, -85545, -106936, -128329? -149724 What is the next term in 214, 329, 444, 559, 674? 789 What is next in 151, 301, 451, 601, 751? 901 What is the next term in -3, -10, -15, -18? -19 What is next in -4, 33, 132, 323, 636, 1101? 1748 What comes next: -34, -21, 0, 29? 66 What is the next term in -9, -133, -481, -1167, -2305, -4009, -6393? -9571 What is the next term in -66, -129, -180, -213, -222, -201, -144? -45 What is next in 31, 40, 61, 100, 163, 256, 385, 556? 775 What comes next: 7, 24, 55, 106, 183, 292, 439, 630? 871 What is the next term in 4466, 4468, 4472, 4478, 4486, 4496, 4508? 4522 What comes next: 275, 474, 669, 860, 1047, 1230, 1409? 1584 What is the next term in -435, -881, -1333, -1797, -2279, -2785, -3321, -3893? -4507 What is next in 48, 35, 8, -39, -112, -217, -360, -547? -784 What comes next: 32, 67, 106, 149, 196, 247, 302? 361 What is the next term in -14, 14, 42, 70, 98, 126? 154 What is the next term in -8, -10, -18, -38, -76, -138, -230, -358? -528 What is the next term in -14, -14, -10, -2, 10, 26? 46 What is next in -5963, -5964, -5965? -5966 What is the next term in -168, -334, -500, -666, -832, -998? -1164 What is the next term in -100, -98, -96? -94 What comes next: -53, -222, -505, -902, -1413, -2038? -2777 What is next in -88, -169, -248, -325? -400
{ "pile_set_name": "DM Mathematics" }
t common multiple of i and 17/3 - ((-630)/27 + 25). 164 Let j be (-7)/21*14 - 2/6. Find the common denominator of ((-297)/6072)/(j/36) and 25/26. 2990 Let z be (219324/7)/((-3)/(-2)). Let s = -3843377/184 + z. Let h = 1/23 + s. Find the common denominator of h and 65/24. 24 Let b(t) = 124*t**2 + 249*t + 5. What is the lowest common multiple of b(4) and 18? 17910 Let g(s) = -7*s + 85. Let z be g(11). Suppose 52 = 2*w - z. Calculate the lowest common multiple of w and 18. 90 Suppose -5*z + 305 - 115 = 0. Calculate the lowest common multiple of z and (1 + -16 - (-3450)/207)/((-1)/(-6)). 190 Suppose f = t + 2, -4*t + 0*f - 40 = 4*f. Calculate the least common multiple of 6 and t/(-11 - -3 - -7). 6 Let s = -289/148 + 62023/34188. Calculate the common denominator of s and 27/308. 924 Suppose 0 = -2*p + 8, -k - 4*p = -46 - 68. Find the common denominator of 3/(-21)*0 + k/20 and 3/6 - (-50)/22. 110 Let p be (64/(-11176))/(0 - 2). Let l = p + 80990/12573. Calculate the common denominator of ((-4)/(-2) - 19)/3 and l. 9 Find the common denominator of 104/(-39)*(-6)/376*(-51)/72 and -71/120. 5640 Suppose -c + 5*w - 4950 = 0, -3*c + 2*w - 19746 = c. Calculate the lowest common multiple of c/(-245) - 2/14 and 30. 60 Suppose -3*x = 7*i - 1165, -4*i + 981 = 2*x + 201. Calculate the least common multiple of x and 1280. 6400 Let v be 5/((-25)/(-20))*1. Suppose 0*y + 4*y - 12 = 0. Suppose y*d = -v*d + 154. Calculate the smallest common multiple of 36 and d. 396 What is the common denominator of ((-67)/(-957))/(6 - (2 - 6/(-1))) and 67/198? 5742 Let n be 364/36 + (-2)/18. Calculate the least common multiple of 0/1 - (n/(-2) + -109) and 15. 570 Let s = 645965/117 - 5521. What is the common denominator of 49/3 and s? 117 Let z = 420835081/2556 + -164646. What is the common denominator of z and -77/24? 5112 Let b = -6/922669 + -111636037/1062914688. Find the common denominator of 121/2064 and b. 49536 Suppose 5*k = 5*s + 202425, 3*k + 2*s - 153587 + 32147 = 0. Calculate the lowest common multiple of k and 8. 161928 Let o = -6/505 - -4641/8080. What is the common denominator of o and 91/1320? 2640 Suppose 0 - 45 = 15*x. Find the common denominator of (-1)/(-9)*(-61)/(-2) and x - 1*452/24. 18 Suppose 35 = y + 3*i, -58*y - 33 = -61*y - i. Suppose 3*f - 53 = -5. Calculate the lowest common multiple of f and y. 16 Suppose 24*l - 548 = 1132. What is the common denominator of -33/4 and ((-65)/l - 6) + 3? 28 Calculate the common denominator of (550/660)/((-30)/258) and ((-178)/25)/(21 - 1). 750 Let c = 92 - 55. Suppose -5 = 5*s, -17*p + 5 = -16*p - s. What is the smallest common multiple of c and p? 148 Let l be 5/(-4) - (-2)/8. Calculate the common denominator of -101/76 and (3 - l)/(-32) + (-2058)/(-528). 836 Let t be 6/(-3 + 154/58). Let k = t + 279/10. Calculate the common denominator of (-1)/3*129/(-64) and k. 64 Let l = -125038/5 + 25011. Calculate the common denominator of l and -1/227. 1135 Let r = -20/587 - 34767/30524. What is the common denominator of r and 53/140? 1820 Let d be (-2 + (-138)/(-72))/((-2)/526). Let x = -25/4 + d. Let p = 2/2593 - -85555/18151. Calculate the common denominator of x and p. 21 Suppose 3*s - 8 = p, 3*s + 0*s - 16 = -p. Suppose 2*r + 20 = p*r. Let k(u) = u**2 - 2*u - 20. Calculate the smallest common multiple of k(-4) and r. 20 Suppose 5*j + 14 = 3*v - 14, -5*j = 2*v + 23. What is the smallest common multiple of 7 and (-2*v)/(-1*(-8)/(-12))? 21 Let z = -962494 - -1984701/2. Let j = -29182 + z. Let n = -700 + j. Find the common denominator of n and -29/8. 8 Suppose -4*b + b - 5*w - 25 = 0, -w = -b + 5. Suppose 3*l + d - 68 - 229 = 0, b = -5*l - 5*d + 485. What is the lowest common multiple of 4 and l? 100 Suppose x = 123 - 109. What is the least common multiple of x and 62? 434 Suppose w = 3, -4*s + 3*w - 4*w + 19 = 0. Suppose -20 = -4*t - t, -l - 8 = -3*t. Calculate the lowest common multiple of l and (3 - 22/8)*s. 4 Let n be 3/(-1)*(212/6 - 5). Let f = n + 91. Suppose f = -3*w, -5*a + 5 = -0*w - w. What is the lowest common multiple of 1 and a? 1 Let o = 1909/12 + -953/6. What is the common denominator of o and 43/96? 96 Let a = 16398 - 295051/18. Find the common denominator of 107/1044 and a. 1044 Let r = -3973/2904 + 166/121. Find the common denominator of r and 161/1188. 2376 Let k = 1465923943/2076 - 706129. What is the common denominator of 99/16 and k? 8304 Let x(a) = -a**2 - 7*a - 7. Let j be x(-7). Let p be (8 - (j + 11))/(-1 + -1). Calculate the least common multiple of 15 and (p - -1 - 2)*26/(-39). 30 Let c(g) = g**3 + 36*g**2 + 72*g + 76. Let s be c(-34). Find the common denominator of ((-5691)/s)/(-7) + (-105)/(-84) and 43/178. 890 Let d be (-66)/(-15)*(-24275)/35. Let l = -2631 + 5688. Let p = d + l. What is the common denominator of p and 81/8? 56 Let m = -681/13 - -52. Let n(i) = -5*i**3 + 9*i**2 + 4*i - 13. Let p be n(3). Find the common denominator of 3 + (-100)/p + (-5 - -5) and m. 143 Suppose 0 = -6138*c + 6134*c + 56. What is the smallest common multiple of c and 7136? 49952 Suppose 0 = 2*s + 5*z + 11, -3*z + 6 = 2*s - 5*s. Find the common denominator of -121/6 and 3 - s/((-252)/951) - -5. 84 Let d be ((-105)/(-14) + -5)*30. Calculate the least common multiple of 90 and (-1)/2 + d/6. 180 Let b be (-2 - (4584 - -5))*(2 + -7). Find the common denominator of (-4)/(-14) + 2 + b/(-11130) and -13/4. 636 Let n(i) = 801*i**3 - i**2 - i + 2. Let j be n(1). Calculate the common denominator of (3 - j/(-66))/(-6) and ((-10)/8)/((-25)/510). 44 Suppose t - 77 = -56. Calculate the smallest common multiple of t and 406. 1218 What is the common denominator of -103/252 and 0 - (7/3087)/(8/524)? 1764 Suppose 0 = f - 3*y - 136, -2*y + 799 - 204 = 5*f. Suppose 7*b = f + 187. What is the smallest common multiple of 24 and b? 264 Find the common denominator of -3/68 and (21615/(-792))/(2465/(-4)). 5916 Let r = -20141 + 4026. Let q = r - -8399. Let i = -61813/8 - q. Calculate the common denominator of 47/8 and i. 8 Calculate the common denominator of 101/20 and -3 - 3 - (9 - (-100765)/(-7150) - 1). 2860 Suppose 5*z + 5*f = 1385, -13*f + 8 = -9*f. What is the least common multiple of z and 2375? 26125 Let g = -3209/774 - -26/129. Let v be (2089/(-12))/((-6)/356). Let z = 10324 - v. Calculate the common denominator of g and z. 18 What is the common denominator of (-4)/((-576)/(-654)) - -1 and 24/4 - 179*(-32)/(-984)? 984 Let m(i) = 7*i + 49. Let a be m(17). Let l = -94 + a. Let q = l + -46. Calculate the lowest common multiple of 20 and q. 140 Let o(y) = -y**2 + 12*y - 7. Let d be o(11). Suppose 0 = d*k + 50 - 66. Calculate the least common multiple of k and 14. 28 Let q(w) = -240*w + 66. Let r(i) = i - 1. Let p(l) = -q(l) - r(l). Calculate the smallest common multiple of p(1) and 24. 696 Let p = 1/1139624 + 6339031/145302060. Calculate the common denominator of p and -23/306. 6120 Let m = -181 + 331. Suppose 2*g + 11*n - 274 = 16*n, -g = 4*n - m. Calculate the least common multiple of g and 9. 1278 Let o(n) = n**2 + 10*n - 181. What is the lowest common multiple of o(11) and 30? 150 Let x = 507350 - 2219148853/4374. Find the common denominator of x and 117/14. 30618 Calculate the least common multiple of 17*1 - (-735)/(-105) and 5222. 26110 Suppose 84 = -8*c - 4*c. Find the common denominator of (-1)/1 - ((-4232)/480 - c) and -49/9. 180 Let a(s) = 95*s - 9. Suppose 5*t + 21 = 3*j, -5*t - 16 = -1. Suppose -7*h + 9*h + 7 = 3*y, 6 = j*y. What is the lowest common multiple of 3 and a(h)? 258 Let i = 81 + 7. What is the least common multiple of i and (-2 - (-8 + 4)) + (1 - -15)? 792 Find the common denominator of 111/10 and 9*(-25)/450 - 235/(-579). 5790 Let u(q) = q + 11. What is the smallest common multiple of (-22)/(-2) + 116/4 and u(11)? 440 Suppose -20*y + 1005 = -5*y. Let u = 91 - y. Let g = u + -10. What is the smallest common multiple of g and 2? 14 Let d(z) = 4*z**2 - 122*z + 292. Suppose -t = -3*l + 20, 1 = 2*l + 5*t - 1. Calculate the least common multiple of d(28) and (l - 0)/(6/4). 12 Let a(k) = -7*k**3 - k**2 + k + 2. Let h be a(-4). What is the common denominator of (1/35)/((-4)/h) and (-5)/(-108)*(11310/50)/29? 252 Let r = -9 + 17. Let f(h) = h**2 + 128*h + 2419. Calculate the least common multiple of f(-23) and r. 8 Let b
{ "pile_set_name": "DM Mathematics" }
*2 - 5*z + 648 What is the w'th term of -134, -184, -234, -284? -50*w - 84 What is the s'th term of -441, -439, -437, -435, -433, -431? 2*s - 443 What is the z'th term of 4, -6, -10, -2, 24, 74, 154, 270? z**3 - 3*z**2 - 8*z + 14 What is the u'th term of -18, -27, -44, -69, -102, -143? -4*u**2 + 3*u - 17 What is the p'th term of -14, -17, -20? -3*p - 11 What is the c'th term of -1, 10, 33, 68, 115, 174, 245? 6*c**2 - 7*c What is the q'th term of 79, 153, 235, 325, 423, 529, 643? 4*q**2 + 62*q + 13 What is the z'th term of -591, -1188, -1787, -2388, -2991, -3596? -z**2 - 594*z + 4 What is the b'th term of 142, 284, 426, 568, 710, 852? 142*b What is the t'th term of -697, -1397, -2097, -2797, -3497? -700*t + 3 What is the v'th term of 568, 563, 558, 553, 548? -5*v + 573 What is the y'th term of 188, 219, 246, 269, 288, 303? -2*y**2 + 37*y + 153 What is the o'th term of -165, -394, -623, -852? -229*o + 64 What is the z'th term of -46, -63, -56, -13, 78, 229, 452, 759? 2*z**3 - 31*z - 17 What is the w'th term of 15, 30, 45, 60, 75, 90? 15*w What is the x'th term of -154, -208, -262, -316, -370, -424? -54*x - 100 What is the d'th term of -153, -158, -167, -180? -2*d**2 + d - 152 What is the z'th term of 3, 3, -5, -27, -69? -z**3 + 2*z**2 + z + 1 What is the v'th term of -398, -375, -352, -329, -306, -283? 23*v - 421 What is the a'th term of 25, 31, 37? 6*a + 19 What is the d'th term of -599, -596, -593? 3*d - 602 What is the x'th term of 81, 91, 111, 147, 205, 291, 411? x**3 - x**2 + 6*x + 75 What is the n'th term of -72, -265, -588, -1041, -1624, -2337? -65*n**2 + 2*n - 9 What is the t'th term of -2, -8, -38, -104, -218, -392? -2*t**3 + 8*t - 8 What is the q'th term of -10, -25, -50, -91, -154, -245? -q**3 + q**2 - 11*q + 1 What is the w'th term of -71, -73, -71, -59, -31, 19, 97? w**3 - 4*w**2 + 3*w - 71 What is the j'th term of 54, 55, 58, 63, 70, 79? j**2 - 2*j + 55 What is the u'th term of 120, 241, 362, 483? 121*u - 1 What is the x'th term of 96, 191, 286, 381? 95*x + 1 What is the c'th term of -10, -18, -26? -8*c - 2 What is the z'th term of 487, 474, 453, 424, 387, 342? -4*z**2 - z + 492 What is the x'th term of -118, -119, -120? -x - 117 What is the b'th term of -115, -120, -127, -136, -147, -160, -175? -b**2 - 2*b - 112 What is the o'th term of -635, -628, -617, -602, -583, -560, -533? 2*o**2 + o - 638 What is the r'th term of -12, -27, -56, -105, -180, -287, -432? -r**3 - r**2 - 5*r - 5 What is the h'th term of 9, -1, -11, -21, -31? -10*h + 19 What is the m'th term of 13, 35, 69, 115, 173? 6*m**2 + 4*m + 3 What is the f'th term of 208, 855, 1942, 3475, 5460? f**3 + 214*f**2 - 2*f - 5 What is the y'th term of 39, 51, 73, 111, 171, 259, 381? y**3 - y**2 + 8*y + 31 What is the o'th term of -228, -249, -260, -255, -228, -173, -84? o**3 - o**2 - 25*o - 203 What is the x'th term of 449, 439, 417, 377, 313, 219? -x**3 - 3*x + 453 What is the x'th term of -8241, -8242, -8243, -8244, -8245, -8246? -x - 8240 What is the r'th term of 245, 481, 717, 953, 1189? 236*r + 9 What is the z'th term of 207, 407, 607, 807, 1007, 1207? 200*z + 7 What is the u'th term of -104, -211, -320, -431, -544? -u**2 - 104*u + 1 What is the g'th term of -3, -27, -73, -147, -255? -g**3 - 5*g**2 - 2*g + 5 What is the l'th term of -3, 13, 33, 51, 61, 57, 33? -l**3 + 8*l**2 - l - 9 What is the d'th term of 43102, 43104, 43108, 43114, 43122? d**2 - d + 43102 What is the o'th term of -60, -60, -62, -66? -o**2 + 3*o - 62 What is the o'th term of 455, 898, 1355, 1832, 2335, 2870, 3443? o**3 + o**2 + 433*o + 20 What is the p'th term of 2639, 2652, 2677, 2720, 2787, 2884, 3017? p**3 + 6*p + 2632 What is the n'th term of -741, -727, -703, -669, -625, -571? 5*n**2 - n - 745 What is the k'th term of -182, -180, -176, -170, -162, -152, -140? k**2 - k - 182 What is the i'th term of -349, -729, -1121, -1531, -1965, -2429, -2929? -i**3 - 373*i + 25 What is the n'th term of 6, 36, 66? 30*n - 24 What is the w'th term of 25, -14, -55, -98, -143, -190, -239? -w**2 - 36*w + 62 What is the n'th term of -45, -118, -239, -408? -24*n**2 - n - 20 What is the w'th term of -433, -861, -1285, -1705, -2121? 2*w**2 - 434*w - 1 What is the u'th term of 566, 565, 564, 563, 562, 561? -u + 567 What is the c'th term of -364, -350, -318, -262, -176, -54, 110, 322? c**3 + 3*c**2 - 2*c - 366 What is the i'th term of -52, -131, -226, -337, -464? -8*i**2 - 55*i + 11 What is the c'th term of 72, 63, 52, 39? -c**2 - 6*c + 79 What is the v'th term of -40, -46, -52, -58, -64? -6*v - 34 What is the d'th term of 83, 63, 29, -19, -81? -7*d**2 + d + 89 What is the k'th term of 22, 37, 48, 55? -2*k**2 + 21*k + 3 What is the j'th term of -104, -203, -302, -401? -99*j - 5 What is the z'th term of -3053, -3051, -3049, -3047, -3045, -3043? 2*z - 3055 What is the g'th term of -31, -47, -79, -133, -215, -331, -487? -g**3 - 2*g**2 - 3*g - 25 What is the o'th term of -529, -527, -523, -517, -509, -499, -487? o**2 - o - 529 What is the r'th term of 24, 31, 64, 135, 256, 439, 696? 2*r**3 + r**2 - 10*r + 31 What is the p'th term of -3663, -3662, -3661, -3660, -3659? p - 3664 What is the u'th term of -173, -181, -189, -197, -205, -213? -8*u - 165 What is the z'th term of -99, -148, -281, -540, -967, -1604? -7*z**3 - 92 What is the i'th term of 31, 25, 5, -35, -101, -199, -335, -515? -i**3 - i**2 + 4*i + 29 What is the r'th term of -369, -371, -375, -381, -389? -r**2 + r - 369 What is the v'th term of 136, 134, 132? -2*v + 138 What is the p'th term of -142, -285, -428, -571? -143*p + 1 What is the b'th term of 21, 26, 31, 36, 41, 46? 5*b + 16 What is the x'th term of 128, 119, 98, 59, -4? -x**3 - 2*x + 131 What is the t'th term of -21, -45, -69, -93, -117? -24*t + 3 What is the m'th term of -675, -1354, -2033, -2712? -679*m + 4 What is the i'th term of -14, -15, -22, -35, -54, -79? -3*i**2 + 8*i - 19 What is the n'th term of -110, -211, -306, -395, -478, -555, -626? 3*n**2 - 110*n - 3 What is the q'th term of 14, 29, 52, 83? 4*q**2 + 3*q + 7 What is the v'th term of -158, -168, -184, -206, -234, -268, -308? -3*v**2 - v - 154 What is the z'th term of -29, -74, -143, -242, -377, -554? -z**3 - 6*z**2 - 20*z - 2 What is the w'th term of 901, 902, 903, 904? w + 900 What is the s'th term of 1088, 1090, 1092, 1094, 1096, 1098? 2*s + 1086 What is the u'th term of -44, -123, -262, -467, -744, -1099, -1538? -u**3 - 24*u**2 - 19 What is the x'th term of 13, 51, 131, 265, 465, 743, 1111? 2*x**3 + 9*x**2 - 3*x + 5 What is the u'th term of -215, -421, -625, -827? u**2 - 209*u - 7 What is the l'th term of -8141, -8143, -8145, -8147, -8149? -2*l - 8139 What is the b'th term of -455, -1598, -3511, -6200, -9671, -13930? -b**3 - 379*b**2 + b - 76 What is the n'th term of -291, -289, -287, -285? 2*n - 293 What is the p'th term of -29, -60, -91, -122? -31*p + 2 What is the u'th term of 54, 115, 180, 249, 322, 399? 2*u**2 + 55*u - 3 What is the b'th term of 74, 45, 14, -19? -b**2 - 26*b + 101 What is the v'th term of -71, -298, -677, -1208, -1891, -2726? -76*v**2 + v + 4 What is the x'th term of -20, -40, -72, -122, -196, -300, -440? -x**3 - 13*x - 6 What is the c'th term of -122, -118, -112, -104, -94? c**2 + c - 124 What is the t'th term of 176, 157, 110, 23, -116, -319? -2*t**3 - 2*t**2 + t + 179 What is the p'th term of -259, -260, -263, -268, -275, -284, -295? -p**2 + 2*p - 260 What is the j'th term of -1207, -1203, -1197, -1189, -1179? j**2 + j - 1209 What is the m'th term of -78, -104, -148, -210, -290? -9*m**2 + m - 70 What is the t'th term of 9, -3, -23, -51, -87, -131, -183? -4*t**2 + 13 What is the o'th term of -1098, -2201, -3318, -4455, -5618, -6813? -o**3 - o**2 - 1093*o - 3 What is the r'th term of 29, 26, 13, -16, -67, -146? -r**3 + r**2 + r + 28 What is the i'th term of -32, 0, 100, 304, 648, 1168, 1900? 6*i**3 - 2*i**2 - 4*i - 32 What is the p'th term of 1, 8, 25, 58, 113, 196, 313, 470? p**3 - p**2 + 3*p - 2 What is the g'th term of 71, 57, 33, -1, -45, -99? -5*g**2 + g + 75 What is the y'th term of -2, 21, 60, 115, 186, 273, 376? 8*y**2 - y - 9 What is the q'th term of 61, 49, 35, 25, 25, 41, 79? q**3 - 7*q**2 + 2*q + 65 What is the y'th term of 3, 10, 17, 24, 31, 38? 7*y - 4 What is the n'th term of -5332, -5329, -5326, -5323? 3*
{ "pile_set_name": "DM Mathematics" }
= -4375.13 - -95.13. Let s = 4279.8081 + b. Round s to 3 decimal places. -0.192 Let n = -159875287 + 346617171. Suppose q = -2, 5*q - 60158106 = 3*l + n. Round l to the nearest 1000000. -82000000 Let q = 3836 + -3836.6652. Round q to two decimal places. -0.67 Let s = -90328.1962 - -90358. Let t = s - 29.8. Round t to two dps. 0 Let r = 15.381 + -3.32. Let c = r + -0.161. Let n = 11.9094 - c. Round n to 3 dps. 0.009 Let z = -2.424986 + -6157509.575014. Let l = z - -6157525.300404. Let i = -13.3 + l. Round i to four decimal places. 0.0004 Let g = 87.1 - 845.4. What is g rounded to the nearest 10? -760 Let y(w) = 100080*w**2 - 66*w - 176. Let u be y(-22). Suppose -4*c + c + 3 = 0. Let s be (c - 5/7) + u/14. Round s to the nearest one hundred thousand. 3500000 Let j = -16.054488 + 12.4544807. Let d = -12 + 8.4. Let n = d - j. What is n rounded to six dps? 0.000007 Let w be ((6 - -306)/6)/2. Suppose 22*p - w*p = v + 61999988, -5*v - 309999997 = p. Round v to the nearest one million. -62000000 Let v be (2/6)/(4/24). Let d be -1 - 2*(v - 4). Let m be (82/(-8))/(175/60 - d). Round m to the nearest ten. 120 Let o = -334248.11415 - -334256. Let y = 7.89 - o. What is y rounded to three dps? 0.004 Let u = 137 - -25. Let o = 161.964 - u. Round o to three decimal places. -0.036 Let l(c) be the second derivative of c**5/20 + 5*c**4/12 - c**2/2 - 10*c. Let v be l(-5). Let b be v - -177993 - -4 - -4. Round b to the nearest 10000. 180000 Let l = -0.8132 - -6.7274. Let i = -33.5 - -27.6. Let v = l + i. Round v to 2 dps. 0.01 Let r = 61102.86 + 2680529.14. Let u = -2741637.300257 + r. Let t = -5.3 - u. Round t to 4 decimal places. 0.0003 Let p = 11333 + -11813.7. Let y = 517 + p. Round y to the nearest ten. 40 Suppose 3*x - 2*a + 11 + 38 = 0, 5*x - a + 77 = 0. Let d be (-1)/3 - 110/(-6). Let z be d/(-1)*x/(-5). Round z to the nearest ten. -50 Let j(m) = 474*m**3 - 3*m + 3. Let b be j(1). Let y = -934 + b. What is y rounded to the nearest 10? -460 Let i = 271537815.495999118 - 271537816. Let z = 67.496 + -68. Let q = z - i. Round q to seven dps. 0.0000009 Let c = -226.55 + 179.245. Let y = 47 + c. Round y to 2 dps. -0.31 Let d(o) = 5*o**2 - 5*o - 3. Let m be d(2). Let v be 509999*m/(-21) - 2/6. What is v rounded to the nearest 10000? -170000 Let a = -9773.5724004 - -9851.5724. Let i = 3.9 + -81.9. Let t = i + a. Round t to six decimal places. 0 Let s(r) = 6*r**2 - 4*r + 3. Let o be s(1). Suppose 1035619 + 26364375 = q + 3*t, 0 = 4*q + o*t - 109599990. Round q to the nearest one million. 27000000 Let f = -5.28 - -5.2752946. Round f to four dps. -0.0047 Let h = 3786967456612311061.00000133 - 3786967474555798648. Let q = h - -17943487502. Let i = q - -85. What is i rounded to 7 dps? 0.0000013 Let d = 172 + -171.07. Let c = -60.07 - d. Let p = c + 60.9999996. What is p rounded to six dps? 0 Let i = 2.607 + -11.662. What is i rounded to the nearest integer? -9 Let a be (-6 - -7)*-4 + (1 - -12). Suppose -a*i + 1856657 = 291386. Let b = i - -43081. What is b rounded to the nearest ten thousand? 220000 Let m = -95.08 + 96.6. Let l = m + -1.5199558. Round l to five dps. 0.00004 Let m = -10585045.126 + 10576348. Let b = m - -8822. Let k = b + -125. Round k to 1 dp. -0.1 Let i = -1639.245 - -1811.4419. Let p = i + 1.9431. Let f = 176 - p. Round f to 1 decimal place. 1.9 Suppose 22316754 + 3312241 = -3*f - 5*q, 5*f = 4*q - 42715004. Round f to the nearest 100000. -8500000 Let u = -0.11 - -0.37. Let i = -20.731 - -20.9. Let n = i - u. Round n to 2 dps. -0.09 Let k = 13942.06717 + -13942. Round k to 2 decimal places. 0.07 Let x = -1221.9 - -1226.8135. Let w = 0.1055 - x. Let o = 0.092 - w. Round o to the nearest integer. 5 Let y = -1498.53 + 1499. Let c = -54677032.53000006 + 54677033. Let g = c - y. Round g to 7 decimal places. -0.0000001 Let c = -388932.7 - -373421. What is c rounded to the nearest one thousand? -16000 Let t = 4195.974 - 4162.2. Let m = t + -34. What is m rounded to 2 decimal places? -0.23 Suppose 13*u = -u - 784. Let m be ((-8)/2 - u) + 0. What is m rounded to the nearest ten? 50 Let y(b) = 23*b**2 - 7*b - 3. Let a be y(-3). Suppose -790000 = -227*c + a*c. Round c to the nearest ten thousand. 400000 Let g = 11264 + -11263.9999983859. Round g to 7 decimal places. 0.0000016 Let j = -1.69398 + 1.7288. What is j rounded to three dps? 0.035 Let n = -283 + 176. Let u = n + 108.75. What is u rounded to one dp? 1.8 Let d = -1.44 + -59.46. Let g = d - 3.1. Let b = g - -63.905. Round b to 2 decimal places. -0.1 Let r = 410956834.999923 + -410956604. Let f = r - 231. Round f to 6 decimal places. -0.000077 Suppose 3205 = -d + 6*d + 5*j, -5*d + 3177 = -2*j. Let b = 1951 + -2097. Let q be d*b - 9/((-36)/8). Round q to the nearest ten thousand. -90000 Let x(s) = -s**3 - 6*s**2 - 7*s - 3. Let z be x(-5). Let r = z - 3. Suppose 3*p - p + r*u + 852 = 0, -3*p = 5*u + 1275. What is p rounded to the nearest 100? -400 Let v = -18.506 - 3895.894. What is v rounded to the nearest 100? -3900 Let l = 2.281 - -0.019. Let w = -56.7 - l. Let m = -59.348 - w. Round m to 2 dps. -0.35 Let m = 1179.5809 - -0.9191. Round m to the nearest 10. 1180 Let d = 123033.8143942 - 123257.4156. Let y = -0.4027542 + d. Let u = y - -224. What is u rounded to four dps? -0.004 Suppose -339131852 - 1185309298 = -18*a. Let y = 126991175 - a. What is y rounded to the nearest 1000000? 42000000 Let f = 28 + -25. Suppose 4*i - 104297017 = -4*w + 3*i, -5*w = f*i - 130371273. Suppose -4*q - w = 15925746. What is q rounded to the nearest one million? -11000000 Suppose -5*c + 17669 = -2*z, -12006 = -4*c + 4*z + 2134. Let w = -6337 - c. Round w to the nearest 1000. -10000 Let l = 203.33036749208 - -0.66963346192. Let n = 1.3 - 205.3. Let q = n + l. What is q rounded to 7 decimal places? 0.000001 Let v = 4678 - 1058. Let r be 15*(0 - v/(-15)). Suppose -r = -3*a - 5*n, a + a + n = 2404. What is a rounded to the nearest 100? 1200 Let j = -0.22 + 0.268. Let r = 9.6119 - -0.1161. Let i = j - r. What is i rounded to zero decimal places? -10 Let i = -8792468.75999924 + 8792469. Let j = -493 - -492.76. Let t = i + j. Round t to 7 dps. 0.0000008 Let l = 0.85 + -1.64. Let d = l + 47.79. Let j = -46.9967 + d. Round j to three decimal places. 0.003 Let n = -1841 - -1840.9999999655. What is n rounded to 7 dps? 0 Let k = 44883 + 14653. What is k rounded to the nearest 100? 59500 Let l = 8.5269 + -8.6. Let z = 1192.7999 - 1192.3. Let b = z - l. Round b to 1 decimal place. 0.6 Let r(l) = -l**3 + 2*l**2 - 2*l + 2929. Let d be r(0). Let s = 2241 + d. Suppose -2*j + 7*q - 2*q = -s, -2*q + 4 = 0. Round j to the nearest one hundred. 2600 Let x = 578.76 - 3068.658. Let w = -2493 - x. What is w rounded to one dp? -3.1 Let u(t) = 8*t + 146. Let q be u(-18). Suppose -q*a + 4604 = -2*i, 5*a + 5*i - 4583 = 3*a. What is a rounded to the nearest 100? 2300 Let p = 42 - 88. Let r = p + 43. Let j be ((-994)/(-2) - -3)*r. What is j rounded to the nearest one thousand? -2000 Let z = -187 - -206. Let u = -18.99768 + z. Round u to four decimal places. 0.0023 Let p = -402749 - -271679. What is p rounded to the nearest ten thousand? -130000 Let v(a) = 2*a**2 + 30*a + 13. Let s be v(-14). Let p(r) = -1019*r - 15. Let n be p(s). What is n rounded to the nearest 1000? 15000 Let w = 82.1006 + -82. Let s = 3.8 + -3.67. Let g = w - s. What is g rounded to 3 dps? -0.029 Let g = -18.1648658 - -163.1648679. Let r = -145 + g. What is r rounded to 6 dps? 0.000002 Let s = 55.078 - 55. Let h = -16.878 + s. Let z = 14.7 - h. Round z to the nearest integer. 32 Let k = 216856125 + -359002125. What is k rounded to the nearest 1000000? -142000000 Let l be 2*((-28)/(-8) - 4). Let s be l/(-3) + 4*33/(-18). Let p be 1219996 + 11 + s - 0/2. What is p rounded to the nearest one hundred thousand? 1200000 Let z = 4989 - 4988.999324. Round z to 4 decimal places. 0.0007 Suppose -49*v = -4138 - 174. Let o = 389 - 687. Let m = v + o. What is m rounded to the nearest 10? -210 Let p = -1.9052107 - 2.79478582. Let g = 88.3 + -93. Let t = g - p. Round t to 6 decimal places. -0.000003 Let l = 22001.9370399 + -0.0370399. Round l to the nearest one thousand. 22000 Let w = -10.2900006156 + 10.29. Round w to 7 dps. -0.0000006 Let t = 47224204.08 - 47224362.07999244. Let d = 158 + t. Ro
{ "pile_set_name": "DM Mathematics" }
= -n. Let y be (8 + 0)*n/(-4). Let z(b) be the second derivative of b**4/12 + 5*b**3/6 - b**2 + 2*b. Determine z(y). -6 Let x(b) = b. Suppose 6*l + 33 - 3 = 0. What is x(l)? -5 Let g(r) = -3*r - 5. Let i(s) = 5 - 3*s - 3 + s + 4*s. Let d(w) = -2*g(w) - 5*i(w). Calculate d(2). -8 Let v(q) = q - 5. Let i be v(7). Let c(z) = 7 - 7 + 8*z**i + z. Calculate c(-1). 7 Let n(g) be the second derivative of g**7/2520 - g**5/20 + g**4/4 + g. Let d(o) be the third derivative of n(o). Give d(0). -6 Suppose -4*s = -16, 4*d - 4*s + 1 = -3. Let g(u) = 5*u - 12 - 3*u + 8. What is g(d)? 2 Suppose -3*x + 7*x = 16. Let r(v) = -v**2 + 3*v + 5. Give r(x). 1 Let y(c) = 2 + 0 + 3 - c. Determine y(6). -1 Let n(i) = -i**3 - 8*i**2 - 9*i - 6. Let l(k) = -k**3 + 5*k**2 - 2*k + 4. Let q be l(5). What is n(q)? -24 Let p = -3 + 4. Suppose 5*a = 4*y - 2*y + p, -5*a - 5 = -5*y. Let h(g) = -7*g + 2*g + 11 - 4 + g**2 - y*g. Calculate h(5). -3 Let s be (-2)/((-1)/4*-4*-1). Let r(j) be the second derivative of -2*j - j**s + 0 - 1/6*j**3. Calculate r(5). -7 Let y(q) = -q**2 - 8*q - 7. Let r be y(-7). Let m(n) = 1 - n + r*n + n**3 + 5*n**2 - 2*n**2. Let k = -48 - -44. What is m(k)? -11 Let p be 1 - 13 - (-3 + 3). Let j = 7 + p. Let z(a) be the third derivative of -a**5/60 - a**4/8 + a**3 + a**2. Give z(j). -4 Let n(s) = 9*s**2 - s + 6. Let r(p) = -5*p**2 + p - 3. Let t(k) = 6*n(k) + 11*r(k). Calculate t(7). -11 Let f(w) = -12*w**2 - 2*w + 1. Let j be f(1). Let a = j + 40. Let q be (-2)/(-5) + a/(-5). Let o(n) = -n**2 - 6*n - 5. Determine o(q). 0 Let y(a) be the second derivative of 3*a**3/2 + a**2/2 + 21*a. Determine y(-1). -8 Suppose 4*t - 4*l - 8 = 0, 4*l - 1 = 2*t + 1. Let z(r) = -r**3 + 6*r**2 - 4*r + 1. Calculate z(t). 6 Suppose -20 = -0*v + 5*v. Let t(w) = w**3 + 8*w**2 + w + 6. Let o(y) = 2*y**3 + 15*y**2 + 3*y + 11. Let j(l) = 3*o(l) - 5*t(l). What is j(v)? 3 Suppose 0 = -0*p - p. Let s(g) be the second derivative of g + 1/12*g**4 + p - 5/6*g**3 - 1/2*g**2. What is s(4)? -5 Let i(c) = c - 2. Let q be (-2)/8 + 50/8. Calculate i(q). 4 Let p(u) = -u**2 - 2*u. Suppose -m - 28 = -5*m. Let l = m + -10. Let y be 0 + 2 + l + 3. Determine p(y). -8 Let b(c) = 5*c**2 - c. Let p be b(-1). Let u(i) = 2*i**3 - p*i - 2 + 4*i**2 - i**3 - 3. Let z(g) = -7*g**2 - 6*g - 4. Let j be z(-1). Give u(j). 0 Let v(z) be the first derivative of 3*z**2/2 - 2*z - 1. Suppose 2*w = 32 - 12. Let l be ((-8)/w)/((-10)/25). Calculate v(l). 4 Let g(l) = 14*l**2 + 45 - 10*l**2 - 45. Calculate g(1). 4 Let f(x) be the first derivative of -x**6/120 - x**5/60 + 5*x**3/6 + 5*x**2/2 + 3. Let u(n) be the second derivative of f(n). What is u(0)? 5 Let m(d) = -27*d**3 - 5*d**2 + 9 + 4*d**2 + 28*d**3. Give m(0). 9 Let p = -14 - -19. Let z(t) = p*t - 3*t + 0 - 3 - 8*t. Calculate z(-3). 15 Suppose -4*f + 21 = -7. Let m(z) = z**2 - 6*z + 4. Determine m(f). 11 Let i be (-2 - -1)*(4 - 1). Let c(z) = z**3 + 5*z**2 + 5*z + 4. Give c(i). 7 Let p(f) = f - 3. Let h be p(7). Let k(n) = -n**3 + 4*n**2 - 4*n + 4. Let l be k(3). Let x = l - h. Let v(t) = -t**3 - 3*t**2 - 2. Determine v(x). -2 Let u = -63 - -35. Let g be -2 + (1 - 1 - u). Suppose -l - k = 4*l - g, 0 = l - 5*k. Let h(r) = r**3 - 5*r**2 - 2*r + 1. Calculate h(l). -9 Let u(s) = -s - 2. Let o(l) = -l**2 + 9*l - 7. Let t be o(8). Let r(z) = 2 - 2*z + 0 - t + 6. Let c be r(6). Determine u(c). 3 Let c(n) be the third derivative of n**8/6720 + n**7/504 + n**6/720 + n**5/120 + 5*n**4/24 - 2*n**2. Let k(t) be the second derivative of c(t). Determine k(-2). 11 Let i(d) = 7 - 4 - 24*d + 26*d. What is i(4)? 11 Let l(n) = 2*n + 1. Let v be l(4). Suppose 0 = 4*q + 7 + v. Let c(h) = -6*h. Let z(b) = -5*b. Let o(k) = 4*c(k) - 5*z(k). Determine o(q). -4 Suppose 5*u - 18 = -u. Let j be 2 - (u + -3 + -2). Let w(p) be the third derivative of p**5/60 - p**4/12 + p**3/3 + p**2. Give w(j). 10 Let p(m) = m - 7. Let q be p(8). Suppose -d = -q - 1. Suppose -2*o - 5*j - 2 = d, 2*o + 4 = -2*j. Let w(c) = -c**3 - 4*c**2 - 3*c - 2. Calculate w(o). -4 Let t(z) = 5*z + 1. Let l be t(-1). Suppose -2*n - 5*a - 7 = -31, -10 = -3*n - a. Let h(b) = -3*b - b**3 + 0 - 2 - b**n - 4*b**2. Calculate h(l). -6 Let a(o) = -o**2 - 2 - o + 2. Let h = -71 + 72. Calculate a(h). -2 Suppose -4*s - 3 = 1. Let k(h) = 5*h**2 - 2*h - 1. Calculate k(s). 6 Let w(o) = -o**2 - 8*o + 4. Let k be w(-8). Let v(l) = -2*l + l**3 + 2*l**2 + 1 - 6*l**3 + k*l**3. Determine v(2). -3 Let l(m) = -4*m**3. Suppose 3*w - 2*n = 2*n + 21, 5*w = -4*n + 3. Let r(c) = c + w*c - 3*c - 1. Let j be r(0). What is l(j)? 4 Suppose 4*q - 5*u - 31 = 19, -66 = -4*q - 3*u. Suppose 3*z - 3*f = q, -2*f - 5 = -z + 3. Let b(p) = p + 2 + z - 4 - 1. Give b(4). 3 Let q(h) be the first derivative of -h**3 - h - 1. Let v(f) = 6*f - 1. Let o be v(-1). Let d be (-1 - -2)/(o - -6). Determine q(d). -4 Let d(p) = p**3 + 3*p**2 + 3*p + 3. Let g be (3/(-9))/(7/21). Suppose 4*i = 5*u - 4, -1 - 4 = 5*i - 3*u. Let o = i + g. What is d(o)? 1 Suppose y = 3*q - 15 + 1, 5*y = 3*q + 2. Suppose 0 = 3*r - 6 - q. Let t(u) = 6 - 4*u + u**3 + 5*u + 5*u**2 - r*u**2. Calculate t(0). 6 Suppose -4*t + 16 = -p - 0*t, 0 = p - 5*t + 20. Let j(i) = 2 - i**2 - 7*i + 2*i + p*i**2 + 0*i. Suppose u + 4 = -0. Calculate j(u). 6 Let i be (13/(-234))/((-2)/3). Let k(s) be the third derivative of i*s**4 + 0 - 1/6*s**3 + s**2 - 2/15*s**5 + 0*s. Determine k(1). -7 Let t(l) = -3*l + 13. Let g(p) = p - 1. Let y(c) = -4*g(c) - t(c). What is y(0)? -9 Let b(v) = 13*v + 1 + 3 - 26*v + 11*v. Calculate b(5). -6 Let t be (1 + 0 + 1)/2. Let x(u) = -2*u. Let w(p) = -19*p. Let d(f) = -2*w(f) + 22*x(f). What is d(t)? -6 Let s(w) = -w**2 + 4*w. Let a(b) = -8*b - 6*b**3 + 5*b**2 - 8 + 4*b**3 + 3*b**3. Let i be a(-6). Calculate s(i). 0 Let z be 6/2 + -3 - -3. Let d = z + 5. Suppose y = 4 - d. Let l(n) = n**3 + 4*n**2 - n - 3. What is l(y)? 1 Let i(x) = -2*x + 9. Let o = -37 + 43. Give i(o). -3 Let w(i) = 2*i**2 + 2*i - 3. Let l(b) = 2*b - 36. Let r be l(19). What is w(r)? 9 Suppose -f = -1 - 2. Let x(m) = 0*m**f - 4*m**2 + 2 - 1 + 8*m - m**3 + 6. Give x(-5). -8 Let h(r) = r**3 - 6*r**2 - 4. Suppose -4*v - 8 = 36. Let x be 204/33 - (-2)/v. What is h(x)? -4 Suppose x - 9 = 2*q, -x + 2*q + 2*q = -15. Suppose 0 = a + x - 9. Let c(d) be the third derivative of d**5/60 - d**4/4 + d**3 - d**2. Determine c(a). 6 Let x(f) be the second derivative of f**4/12 + f**3/6 + 9*f. Let g = -4 + 2. Determine x(g). 2 Let z be 4/14 + (-12)/42. Let u(x) = z*x - 3 + 2*x + 2. Suppose -s - s + 3*p + 11 = 0, 0 = -3*p - 15. Calculate u(s). -5 Let c(k) = -5*k**2 - 6*k + 6. Let x(w) = 13*w**2 + 17*w - 16. Let q(o) = 11*c(o) + 4*x(o). Suppose -7*a + 8 = -3*a. Give q(a). -6 Let w(i) = 7*i + 12*i - 18*i - 13. What is w(9)? -4 Let f = 4 + -2. Let h(s) be the third derivative of 0*s + 0 + 1/60*s**5 - 1/6*s**3 - 6*s**2 - 1/24*s**4. What is h(f)? 1 Let v(u) be the third derivative of u**5/60 + u**4/8 - 11*u**3/6 - 7*u**2. Let m(i) = 1. Let x(d) = 6*m(d) + v(d). Give x(-4). -1 Let z(h) = -h + 6. Let r be -41*(-2 + -1 + 2). Suppose -s = -2*f - 3, 5*s - 3*f + 6*f = r. Give z(s). -1 Let s = -5 - -3. Let u = 2 + -1. Let w(x) = 3*x + u - 3*x**3 - 6 + 2*x**3 - x**2 + 7. What is w(s)? 0 Let d(x) be the third derivative of x**4/24 + x**3/6 - 2*x**2. Let a(r) = -r**3 - 2*r**2 + 3*r - 3. Let z be a(-3). Let n = z + 7. Determine d(n). 5 Let r(t) = 2*t + 10. Let b be r(-7). Let h be 1/b - (-13)/4. Let m(o) = o + 4. Calculate m(h). 7 Let c(l) = l. Let n(f) = f**2 - 11*f - 6. Let r(t) = 6*c(t) + n(t). Determine r(6). 0 Suppose 0 = -4*r - 4 - 12. Let f(c) = -7*c**2 - 4*c - 3. Let a(g) = -13*g**2 - 8*g - 5. Let n(s) = -6*a(s) + 11*f(s). Determine n(r). -3 Let v(y) be the third derivative of y**5/60 + y**4/24 - 5*y**3/6 - 5*y**2. Determine v(0). -5 Let y(d) = -1. Let s(g) = g - 1. Let j(k) = -s(k) + 5*y(k). Calculate j(-4). 0 Let p(c) = c**3 - 2*c**2 + c. Let v be (-2)/8 + (-5)/(-4). Suppose -x = -3*j + v, -5*j + 5*x = -2*j + 7. Calculate p(j). 0 Suppose i = 5*n - 6, -4*i - i = -4*n + 9. Suppose 0 = 3*r + 2*r - 15. Let d(z) = z - 4*z**2 + 3*z**2 + 3*z**2 - 5*z**r. What is d(i)? 6 Let p = -5 - -5. Let n(h) = p*h**3 - 2*h**3 - 4*h**2 + 3*h**3 - 7*h + 5. Calculate n(5). -5 Let w(t) be the first derivative of 3*t - 3*t - 1 + 3*t + t**2. Let i(o) = -3*o**2 - o. Let x be i
{ "pile_set_name": "DM Mathematics" }
Suppose -3*x + g = 2*l + l, -l - 2*x = -58. Calculate the highest common factor of l and 8. 8 Let t be (5/4)/(9/36). Suppose -4*o - j + 14 = -1, -20 = o + t*j. Calculate the highest common factor of 10 and o. 5 Suppose -f = 3*x - 2*f - 85, -4*f = 4. What is the greatest common divisor of x and 112? 28 Let g = -63 + -46. Let q = g + 179. Suppose -2*y - 8 = -64. What is the greatest common divisor of y and q? 14 Let w be (-476)/(-12)*(-1 - (-1 + -3)). Let x = 47 - 30. Calculate the highest common divisor of x and w. 17 Let j(v) = v**3 + 4*v**2 + 4*v + 3. Let r be j(-4). Let s be (2 + 0)/(-2)*-31. Let g = r + s. What is the greatest common divisor of g and 12? 6 Let l(f) = f**2 - 1. Let v be l(3). Let u = v + -3. What is the greatest common factor of 35 and u? 5 Suppose 5*i - 3 = h + 2, -3*h = -i + 15. Suppose 5*z - 3*z - 32 = i. What is the greatest common factor of z and 112? 16 Suppose 2*c - 8 = 10. Suppose -3*n - 3*a = -21, 5*a + 42 + 4 = 4*n. What is the highest common divisor of n and c? 9 Suppose -4*t = -t - 18. Calculate the greatest common divisor of t and 24. 6 Let o be 0 + 81 + -1 + 1. Let w(y) = -5*y - 1. Let l be 6/2 - (-1 + 6). Let f be w(l). Calculate the greatest common factor of o and f. 9 Let p be 3/((-6)/(-4)) - -12. Calculate the greatest common factor of 84 and p. 14 Suppose j - 104 = 5*j. Let c be 1/(j/28 - -1). Calculate the greatest common divisor of c and 70. 14 Let i(h) = 5*h - 6. Let f be i(3). What is the greatest common factor of 3 and f? 3 Let g = -100 + 244. Let c = -80 - -96. What is the greatest common divisor of c and g? 16 Let y(c) = -c**3 + c**2 - 6*c - 7. Let p be y(-2). Calculate the greatest common divisor of p and 136. 17 Let a = -1 + 5. Suppose -9 - a = -s. Let i(w) = w**3 - 4*w**2 + 2*w + 7. Let n be i(6). What is the greatest common divisor of s and n? 13 Suppose 0*j = 5*j - u - 29, 4*u = -3*j - 1. Suppose 4*f + x = 12 + 6, j*f + 4*x - 28 = 0. Calculate the highest common divisor of 36 and f. 4 Suppose 2 = 2*o - 2. Suppose -o*w + 7*w + 5*b = 0, 3*w - 8 = b. Suppose -4 = -w*c - s + 2, 4 = -s. Calculate the highest common factor of 15 and c. 5 Suppose 0 = -5*a + 329 + 386. Calculate the greatest common factor of 13 and a. 13 Suppose 2*j + 41 = 461. Let g = 478 + -457. What is the greatest common divisor of j and g? 21 Suppose 0 = 5*x - 777 + 227. Let t(n) = 20*n**2 - n - 2. Let k be t(-1). Suppose 239 = 5*m + k. Calculate the greatest common factor of m and x. 22 Let k(j) = j**2 - 15*j - 10. Let g be k(20). What is the greatest common factor of 12 and g? 6 Let i = -18 + -27. Let y = i - -87. Calculate the greatest common divisor of 6 and y. 6 Let p(u) = -u**2 + 3*u + 6. Let m be p(5). Let b be (-536)/(-44) - m/(-22). What is the greatest common divisor of 48 and b? 12 Let l(c) = 3*c**2 + c - 2. Let k(y) = -4*y**2 - y + 1. Let h(m) = 2*k(m) + 3*l(m). Let t be h(3). Calculate the highest common factor of t and 8. 8 Let a = 9 - 14. Let g(u) = -83*u - 4. Let t be g(a). Let v be (-2)/9 + t/27. Calculate the highest common divisor of v and 10. 5 Let k(d) = 2*d**2 + 3*d - 3. Let l be k(3). What is the greatest common divisor of l and 120? 24 Suppose 2*y - 9 = 1. Suppose 3*s - 3 - 6 = 0. Suppose -r - 70 = -s*r. Calculate the greatest common factor of y and r. 5 Let t = 7 + -13. Let i be (2 + -4)*t - 2. Calculate the highest common factor of i and 90. 10 Suppose 2*i - 4*i = -6. Let j be 497/15 - 10/75. What is the greatest common divisor of i and j? 3 Let m be 40/(-16)*(-28)/5. Calculate the highest common factor of m and 112. 14 Let c = -47 + 66. Calculate the greatest common factor of c and 171. 19 Let x(k) be the second derivative of k**3/3 + 2*k**2 + k. Let t be x(3). Let r be -5*1/(t/(-308)). Calculate the greatest common factor of r and 14. 14 Suppose o + 19 - 83 = 0. Calculate the greatest common factor of 8 and o. 8 Let m(g) = g**3 - g**2. Let f(n) = 2*n**3 - n**2 + 1. Let c(k) = -f(k) + 5*m(k). Let p be c(3). Calculate the highest common factor of 4 and p. 4 Let u be 55 - (-2 + (-6)/(-1)). What is the greatest common factor of u and 34? 17 Suppose 2*p - 31 - 9 = 0. Suppose -2*k = -4*k + 4. What is the highest common factor of k and p? 2 Let d(w) = w - 1. Let b be d(-3). Let s = 12 + b. Let o = 86 - 6. Calculate the greatest common factor of o and s. 8 Suppose -d - 1 = f - 9, -5*d = -2*f - 75. Calculate the highest common divisor of 104 and d. 13 Suppose 0*m + 4*m - 20 = 0, -110 = -3*x + 5*m. Calculate the highest common factor of 360 and x. 45 Suppose k - 8*k = -238. Calculate the greatest common factor of k and 51. 17 Suppose 0 = -2*s - 3 + 1. Let z be ((-56)/20)/(s/25). Let y(i) = -i**3 + 5*i**2 - 3*i + 6. Let q be y(4). Calculate the greatest common divisor of z and q. 10 Let a(z) = 53*z**2 + 2. Let o be a(1). What is the highest common divisor of o and 11? 11 Let b(y) = y**2 - y. Let r be b(4). Suppose 1 = 2*z - 15. Suppose 0*l + z = 3*v - 2*l, 2*v - 4*l + 8 = 0. Calculate the highest common divisor of v and r. 6 Let l = -5 - -7. Let r = l - 0. Suppose -33 = -r*g - w, -w = -g - 6*w + 3. Calculate the greatest common factor of 144 and g. 18 Let w(d) = d**3 - d**2 + d + 18. Let c be w(0). Suppose -h = h - c. What is the highest common divisor of 81 and h? 9 Suppose -18 = w - 4*w. Suppose 7*u - 15 = w*u. Suppose 229 = 3*j + 4*i, -2*i - 94 + 471 = 5*j. Calculate the greatest common factor of j and u. 15 Let c = 22 + -15. Suppose -3*g + 2*g = 4*n - 26, 0 = -2*g - 2*n + 22. Suppose c*y = g*y + 231. Calculate the greatest common divisor of y and 21. 21 Suppose 4*x + 3 = x. Let h be x/(-2*(-1)/(-32)). Calculate the greatest common factor of 4 and h. 4 Suppose v = 4*z + 22, 6*v - 2*z - 38 = v. Suppose v*p = 10*p - 3540. Let i be (-4)/(-18) - p/(-27). What is the highest common factor of i and 11? 11 Let c(x) = -x**2 - 14*x - 28. Let h be c(-8). What is the greatest common divisor of h and 20? 20 Suppose -4 = 4*r, -3*r = -0*a - a + 17. What is the greatest common factor of 140 and a? 14 Let i = -36 + 49. What is the greatest common divisor of i and 13? 13 Let h be (-2)/(-6) - (-1)/(-3). Let d = 5 - h. What is the greatest common divisor of 2 and d? 1 Let g = 0 + 0. Let m be g + ((-2)/(-1) - -7). Let p = -92 - -101. What is the greatest common factor of p and m? 9 Let l = -6 + 3. Let w = -1 - l. Calculate the highest common factor of 2 and w. 2 Suppose -3*j - 3*d = -0*j - 114, -4*d = -2*j + 46. What is the greatest common factor of j and 44? 11 Let w(i) = 2*i**2 - 10*i - 36. Let s be w(-4). Calculate the greatest common divisor of s and 9. 9 Suppose -3*g = 5*n - 152, 4*g + 68 = -n + 4*n. Let d = -3 - -45. What is the greatest common factor of d and n? 14 Suppose 18 = -2*s + 108. Let f(a) = a**3 + 5*a**2 + 5. Let t be f(-5). Calculate the highest common divisor of t and s. 5 Let t be (-224)/(-10) + (-22)/55. What is the highest common factor of 154 and t? 22 Suppose -123 + 339 = 6*m. What is the greatest common divisor of 12 and m? 12 Let h be 0 - (0 + 2) - -11. What is the greatest common divisor of 24 and h? 3 Let o be ((-6)/(-7))/((-12)/(-56)). Let v(i) = i**3 - 2*i**2 + 5*i - 2. Let u be v(o). Calculate the greatest common factor of 10 and u. 10 Suppose 3 = g - 2. Suppose g*q = 3*v - 1, q + v = 4 - 1. Let r be ((-10)/4)/(3/(-6)). What is the greatest common factor of r and q? 1 Let j(l) = l**3 - 18*l**2 + 16*l + 29. Let g be j(17). What is the greatest common factor of g and 12? 12 Let i(g) = g**2 + 5*g + 6. Let p be i(-4). Suppose -3*r - 10 = 26. Let n be 18/(-12)*80/r. What is the highest common factor of p and n? 2 Let h = 71 - 68. Calculate the highest common factor of h and 33. 3 Suppose -7*x + 495 = -4*x. Calculate the greatest common divisor of x and 66. 33 Let j(d) = -d**3 + 12*d**2 - 9*d - 11. Let u be j(11). Suppose 0 = 4*q - u - 73. What is the highest common divisor of q and 7? 7 Suppose 0 = 5*s + 2*h + 3*h - 45, -1 = h. Let u = 4 - 1. Suppose -u*g = -13 - 17. Calculate the highest common divisor of g and s. 10 Let f = 1 + 1. Let p = 16 + f. Calculate the highest common factor of p and 2. 2 Suppose -5*f + 60 = g + 9, -42 = -g - 2*f. Suppose 3*s = 3*o - g, -4*s - 3 = 5. What is the greatest common divisor of o and 90? 10 Suppose 9*r - 10*r + 9 = 0. Calculate the highest common factor of 6 and
{ "pile_set_name": "DM Mathematics" }
**2 - l - 2. Suppose 0 = 8*x - 4*x - 160. Let a = x - 5. What is the remainder when a is divided by q(-4)? 17 What is the remainder when 172*(-2)/(-12)*12/8 is divided by 15? 13 Suppose -6*q + 357 = q. What is the remainder when q is divided by 18? 15 Let q(g) = -6*g - 33. Let f(a) = 12*a**2 + a - 1. What is the remainder when q(-9) is divided by f(1)? 9 Let o(q) = -q**3 + 14*q**2 + 16*q - 5. Calculate the remainder when 45 is divided by o(15). 5 Suppose 5*s - 35 - 9 = -4*l, -4*s + 2*l + 56 = 0. Calculate the remainder when 81 is divided by s. 9 Let z be 2/4 + 3/2. Suppose z*y + 3*j = -17, -2*j + 5 = 4*y + 35. What is the remainder when 33 is divided by (-121)/y - (-6)/(-21)? 16 Suppose k - 68 - 32 = 0. Suppose 4*i - 88 = -i + t, 5*i - k = 5*t. Calculate the remainder when i is divided by 5. 2 Suppose -64 = 2*n - 6*n. Let o = 108 - 46. What is the remainder when o is divided by n? 14 What is the remainder when 115 is divided by (-36)/24*-1*6? 7 Let j = -26 - -28. What is the remainder when 5 is divided by j? 1 Suppose 92 = 4*p + 7*s - 8*s, s + 68 = 3*p. Let c = 3 + 91. What is the remainder when c is divided by p? 22 Let d = 119 - 111. Calculate the remainder when 38 is divided by d. 6 Suppose 0 = -3*g + 16 - 88. Let p = g - -25. What is the remainder when 3 is divided by p? 0 Suppose -3*g = -0*g + 6. Let w = -17 - -38. What is the remainder when w is divided by g*(0 + 22/(-4))? 10 Let q(g) = g**3 - g**2 - g - 4. Suppose 28*z + 57 = 31*z. Calculate the remainder when z is divided by q(3). 8 Let w be 1*-2*(-3)/(-2). Let r be (-3 - (w + 1))*2. Calculate the remainder when 1 + (16 - 1*r) is divided by 7. 5 Let m be -1 - (-14)/(-2) - -2. Suppose -8 = -4*x + 8. Calculate the remainder when m/(-9) + (-28)/(-3) is divided by x. 2 Calculate the remainder when ((-44)/77)/((-4)/322) is divided by 18. 10 Let z be (17/5)/((-4)/(-20)). Let l = -16 + z. What is the remainder when 1 is divided by l? 0 Let m = 8 + -11. Let k = -25 + 13. Let y = m - k. Calculate the remainder when 16 is divided by y. 7 Suppose 0 = 13*s - 107 - 309. What is the remainder when s is divided by 12? 8 Suppose -8*w + 70 = -3*w. Calculate the remainder when 54 is divided by w. 12 Suppose -5*m + 100 = -4*q, 3*q = q - 10. Let f = -45 + 76. Calculate the remainder when f is divided by m. 15 Let v(u) = 6*u - 9. What is the remainder when v(5) is divided by 12? 9 Suppose c = 2*v - 23, 0*v + 5*v - 53 = c. Suppose -18*d + 57 = -15*d. Calculate the remainder when d is divided by v. 9 Suppose 5*p = 5, -4*h + 0*p = p - 21. Calculate the remainder when 8 is divided by h. 3 Let u(y) = -y**3 + 9*y**2 - 6*y + 1. Let m be u(8). Suppose 0 = 3*h - m - 16. Let g(o) = o**2 + o + 32. Calculate the remainder when g(0) is divided by h. 10 Suppose 5*y - 2*p - 110 = 0, -2*y + 5*p - 1 = -45. What is the remainder when 85 is divided by y? 19 Let s(a) = 4 - 1 + 1 + 10*a. Suppose 0 = 4*n - n - 36. Calculate the remainder when s(3) is divided by n. 10 Suppose 9*d = 753 + 534. Calculate the remainder when d is divided by 36. 35 Let l = -4 + 0. Let z be ((-52)/(-3))/(l/(-18)). Suppose -3*x - z = -5*x. Calculate the remainder when x is divided by 14. 11 Suppose -6*y - 31 = -121. Calculate the remainder when y is divided by 8. 7 Let i(m) = m**2 - 12. Let w be i(0). Let f = w + 58. Calculate the remainder when f is divided by 16. 14 What is the remainder when 91 is divided by (28/8)/(-7)*-62? 29 Let u(x) = -x**2 + 16*x - 5. Calculate the remainder when u(11) is divided by 273/14*4/3. 24 Let g = 13 - 8. Let l(u) = -u**3 + u. Let b be l(0). Suppose -g*k + 5 = -b. Calculate the remainder when 2 is divided by k. 0 Let i(p) = 20*p - 7*p - 2*p**2 + p**2 - 5. Calculate the remainder when 72 is divided by i(6). 35 Let c = 235 - 139. Calculate the remainder when 30 is divided by (c/(-9))/((-2)/3). 14 Suppose 0 = -5*d + 2*p + 19, -p + 5*p + 8 = 0. Suppose -2*b + 10 = -b. Let g = b - d. Calculate the remainder when 20 is divided by g. 6 Let s = -1 + 5. Let x(y) = 2*y**3 + 4*y**2 - 3*y + 6. Let j be x(s). Calculate the remainder when 21 is divided by (-2)/5 + j/15. 9 Let z(k) = 8*k - 4. Calculate the remainder when 34 is divided by z(2). 10 Let r(z) = 2*z**2 + 15*z - 17. Calculate the remainder when 17 is divided by r(-9). 7 Let a(i) = -i**3 - i**2 - 3. What is the remainder when a(-5) is divided by 33? 31 Suppose 0 = u + 4*a - 9, u - 4 - 13 = 4*a. Calculate the remainder when 27 is divided by u. 1 Suppose 0 = 5*w, 0 = 4*z - 3*z - w - 30. Suppose -4*m + z = -3*m. Calculate the remainder when m is divided by 11. 8 Let a(i) = 2*i**2 - 1. What is the remainder when 2/7 - (-444)/14 is divided by a(-3)? 15 Let w(r) = -r**3 - 17*r**2 - 16*r + 16. What is the remainder when 94 is divided by w(-16)? 14 Let m be (530/(-40))/(2/(-8)). Let c = 77 - m. What is the remainder when c is divided by 14? 10 Let y(j) = -j + 3. Let a be (33/6)/((-1)/(-2)). Suppose -1 = -v - a. Calculate the remainder when 37 is divided by y(v). 11 Let u = -16 - -30. What is the remainder when 60 is divided by ((-9)/6)/((-1)/u)? 18 Let c(m) = 10*m**2 - 1. Calculate the remainder when c(2) is divided by 19 + -2 - -4*3/(-4). 11 Suppose 222 = 7*m - 4*m. Calculate the remainder when m is divided by 25. 24 Let y(n) = -n**3 - 2*n**2 - 1. Let u = -8 + 5. What is the remainder when (1 - 0)/((-1)/(-22)) is divided by y(u)? 6 Suppose -400 + 76 = n. Let y be 0 - (n/3)/3. Suppose -4*c - y = -3*q, 4*c - 6 = -3*q + 6. What is the remainder when 22 is divided by q? 6 Suppose 5*h + 4 = -2*u, -3*h + 8*h - 3*u = 6. Suppose 5*v - 174 - 6 = h. Calculate the remainder when v is divided by 19. 17 Let s be (-4)/(8/(-10)) + -2. Suppose i + f - 27 = -f, s*i - 85 = -4*f. Calculate the remainder when i is divided by 11. 9 Let y = 30 + -15. Suppose -4*g - 3*l = -185, -g = 2*l - 1 - 49. What is the remainder when g is divided by y? 14 Let g(i) = i**2 - 9*i + 15. What is the remainder when g(8) is divided by 4? 3 Suppose -4 = -3*s - 1. What is the remainder when 32 is divided by 2 - (-2 + (-6 - s))? 10 Suppose 0 = 2*k - k - 41. What is the remainder when k is divided by 1/(4/132*3)? 8 Calculate the remainder when 1/2 - (-1)/2 is divided by 1. 0 Let x be (-136)/(-4) + -1 - -3. Let p = x + -17. Calculate the remainder when p is divided by 4/2*(-14)/(-4). 5 Suppose -3*r = -4*r + 4. Suppose 0*g + 232 = r*g. What is the remainder when g is divided by 15? 13 Let w = 192 + -75. What is the remainder when w is divided by 15? 12 Let s = -2 + 7. Let v(p) = p**2 - 5*p + 4. What is the remainder when 11 is divided by v(s)? 3 Let m(n) = n**2 - n + 1. Let v be m(3). Let s = -8 - v. Let u = -7 - s. Calculate the remainder when 29 is divided by u. 5 Calculate the remainder when 68 is divided by 0 + 5 + 1 - -4. 8 Suppose -3*j + j + 36 = 0. Calculate the remainder when 105*(-2)/18*-6 is divided by j. 16 Suppose 34 = 4*w + 2. Calculate the remainder when 13 is divided by w. 5 Suppose a + w = -a + 7, -2*a - 3*w + 9 = 0. Let b = -3 + 4. Suppose 4 = a*g + b. What is the remainder when 1 is divided by g? 0 Suppose 5*w + 47 = -2*p, 4*w + 160 = 4*p - 9*p. Let v be (-1 + -2)/(6/(-188)). Let h = p + v. Calculate the remainder when h is divided by 20. 18 Let q(u) = 4*u**2 - 4*u + 2. What is the remainder when 50 is divided by q(3)? 24 Let q = -1 - -17. What is the remainder when 45 is divided by q? 13 Let o = -28 - -46. Suppose -3*v - 2*u = 3*u - 20, u - 8 = -v. Calculate the remainder when o is divided by v. 8 Suppose 0*d - d = 0. Suppose c = -d*c + 5. Suppose 0 = c*l - u - 20, u - 5 = l - u. What is the remainder when 12 is divided by l? 2 Let m be (-3)/((-18)/(-4))*3. Let z(j) = -j**3 + 3*j + 14*j**2 - 12*j**2 + 0*j. Calculate the remainder when 18 is divided by z(m). 8 Suppose 0 = -r - 3*a - 33, -19 = -4*r - 3*a - 115. Let y = r - -37. Suppose 188 = -2*x + 6*x. What is the remainder when x is divided by y? 15 Let t = 11 - 1. Suppose r + 5*v = -0*r + 32, 0 = v + 1. Calculate the remainder when r is divided by t. 7 Suppose 0 = -2*v + 29 + 51. Let x(l) be the second derivative of l**3/3 - 2*l**2 - 4*l. Calculate the remainder when v is divided by x(9). 12 Let b(p) = -6*p + 176. Calculate the remainder when (-58)/(-2) - 0/(-3) is divided by b(28). 5 Let t = -11 - -26. Calculate the remainder when 44 is divided by t. 1
{ "pile_set_name": "DM Mathematics" }
third derivative of -k**4/24 - 2*k**2. Let f be s(-2). Let p(i) = 4 - 3*i**2 + 2*i**2 - f*i + 1 + 7*i. What is p(4)? 9 Let n(s) = s**2 - s - 1. Let u(i) = 7*i**2 + i - 7. Let q(r) = 6*n(r) - u(r). Determine q(-6). 7 Let d(f) = 3*f - 41. Let j(x) = 10*x - 154. Let r(c) = -7*d(c) + 2*j(c). Let k = -1 - -1. Calculate r(k). -21 Let z(m) = 4 - 2 - 1 + 9066*m**3 - 9061*m**3. Let b(g) = 2*g**2 + 3*g + 1. Let q be b(-2). Suppose c - 3*h = -7, 6*c + h = c - q. Calculate z(c). -4 Suppose 5*g + 1 = -4*a, 6 = -a + 3*a - 4*g. Let o(l) = l + 4. Let z be o(-4). Let y(r) = -r + z*r + 0 + 3*r - a. Determine y(3). 5 Let t(j) = -j**3 - 7*j**2 - 8*j - 12. Let k = 1749 - 1755. Give t(k). 0 Let d(m) = -1. Let k(s) = -1. Let p(t) = -3*t. Let y(b) = 2*k(b) - p(b). Let o(j) = 2*d(j) - y(j). Determine o(-3). 9 Let c(f) be the third derivative of 23*f**6/120 + f**5/60 - f**3/6 - 3*f**2 + 6*f. Give c(1). 23 Let x(k) = -29*k - 11*k**2 - 7 - 24*k - 2*k**2 + 85*k - 33*k - k**3. Determine x(-13). 6 Suppose d + g - 6 = -3, 0 = -3*d + 3*g - 15. Let n = 11 - 9. Let f(q) = q**2 + q**2 + 0*q**2 + 3*q**n. Give f(d). 5 Suppose 0 = 26*q + 9 + 17. Let n(m) = 14*m**3 + m**2. Determine n(q). -13 Let q(o) = o - 22*o**3 + o**2 - 40*o**3 + 61*o**3. Calculate q(1). 1 Let p(w) = -3*w**2 - 18 - 15 - 19 - 2*w + 6*w**2 + 55. Give p(2). 11 Let x(q) be the first derivative of 5*q**4/2 - q**3/3 - q**2/2 + q + 352. Determine x(1). 9 Suppose -3752*g - 65 = -3739*g. Let u(o) = 3*o - 15. Give u(g). -30 Let v(z) = z + 14. Let x be v(-19). Let n(t) = t**2 + 7*t. What is n(x)? -10 Suppose -211 = 9*b - 184. Let y(a) = 14*a - 4. What is y(b)? -46 Suppose -2*i - p = -9, -4*p + 15 = 2*i - i. Suppose -x - 3*x = -2*a - 20, -2*x = i*a - 10. Let n(t) = a - 3 - 3*t + 4 + 2. Calculate n(3). -6 Let o(m) = m**2 + 2*m - 8. Let p = 84 - 88. Give o(p). 0 Let y(j) = 9*j - 19. Suppose 14*v - 18*v - 20 = 0. Let g(b) be the second derivative of -7*b**3/3 + 29*b**2/2 - 2*b. Let i(m) = v*g(m) - 8*y(m). What is i(5)? -3 Suppose 5*y = -2*y + 49. Let w(o) = 3*o + 13. Let f(g) = -g - 4. Let s(q) = y*f(q) + 2*w(q). Determine s(-10). 8 Let j = 264 + -261. Let y(r) be the first derivative of -1/4*r**4 - r**j - 5*r + 2 + 1/2*r**2. Calculate y(-4). 7 Let s(f) = 45*f - 586. Let v be s(13). Let q(d) = 2*d + 3. Give q(v). 1 Let q(d) be the third derivative of d**4/12 - d**3/3 - 4*d**2 + 69*d. Calculate q(5). 8 Let y(t) be the third derivative of -t**6/120 - t**5/30 - t**4/24 - t**3 - 120*t**2. Determine y(0). -6 Let y(d) = -1 - 7 - 9 - 2*d - 2*d**2 + 16. Give y(2). -13 Let w(j) = -j**3 - 19*j**2 + 20*j - 4. Let u be w(-20). Let r(d) = -2*d - 4. Give r(u). 4 Suppose 15*s = 9*s + 12. Let x(o) = -o**2 + 4*o - 5. Determine x(s). -1 Let i(f) = -f**3 + 6*f**2 - 5*f. Let s be i(5). Suppose 2*w - 7*w + 20 = s. Let h(c) = -w*c**2 + c**3 + 4*c - 2*c**3 - 11 + 7. Determine h(-5). 1 Suppose 3*p + 5*b = 14, 7*b - 4 = 3*b. Let r(a) = -a**2 + a - 1 - 3*a + p*a - 3*a. Calculate r(2). -9 Suppose 0 = -4*f - 2*f + 4*f. Suppose -4*o + 2 = -c, -c - 3*o = -1 - 4. Let m(z) = 0*z + 4*z + f*z + c - z. Give m(-5). -13 Let w be ((32/40)/2)/(4/50). Let r be (-75)/7 + 2/(-7). Let j(h) = -h**3 + 7*h**2. Let q(o) = 5*o**3 - 36*o**2 - 1. Let c(s) = r*j(s) - 2*q(s). Give c(w). 2 Let l = -403 - -403. Let a(g) = g**2 + 2*g - 2. What is a(l)? -2 Suppose 3*m + 17*b + 9 = 14*b, 7 = -3*m - 4*b. Let d(h) = -h**2 - 5*h. Determine d(m). 0 Let r = -159 + 315. Let d be (-6)/(-21) + r/42. Suppose 5*c - s = c - 2, -d*s + 8 = 2*c. Let u(n) = -n**2 - n - 3. Calculate u(c). -3 Suppose 2 = -4*d + 18, 20 = -2*t + 3*d. Let h(f) = 65*f + 49*f - 115*f - 5. What is h(t)? -1 Let p(i) = -3*i**2 + 2*i**2 - 8 + 7 + 2*i**2 + 7*i. Suppose 2*o + 2 = -12. Give p(o). -1 Let v(r) be the first derivative of -4*r**3/3 + r**2 - r + 11. What is v(3)? -31 Let v(r) = -r**2 - 4*r - 8. Suppose 0 = -12*x - 868 + 940. Give v(x). -68 Suppose 81*t = 96*t + 150. Let o(c) = -c**3 - 11*c**2 - 6*c + 13. Determine o(t). -27 Let o(h) = h**3 - 5*h**2 - 9*h + 14. Let r be 11/(-99) + (-220)/(-36). Determine o(r). -4 Suppose 80 = -3*b + 8. Let j(w) = -36*w. Let s(h) = -h. Let q(u) = b*s(u) + j(u). Calculate q(1). -12 Let a(i) = 10*i - 31*i - 26 + 8 + 13*i + 9*i. What is a(18)? 0 Let i(p) = -p**3 - p**2. Let w(n) = -n**2 - 7*n + 2. Suppose -3*g = g + 28. Let h be w(g). Suppose -3*m + h*y - 10 = 0, m = y - 4 - 1. Determine i(m). 0 Let t(v) = -205*v**2 - 3 + 2 + 4 + 412*v**2 - 6*v - 206*v**2. Determine t(7). 10 Let u(x) = x + 3. Let q be u(4). Let o(b) = -b**3 + 7*b**2 + 3*b - 6. Let d be o(q). Let g(i) = 6 - 2*i - d + 4. Calculate g(-7). 9 Let o be (2/(-4))/((-51)/714). Let y(z) = -z**2 + 8*z - 16. What is y(o)? -9 Let b(f) = f**3 + 8 + 8 - 37 + 4*f + 10 + f**2 + 13. What is b(-2)? -10 Let r(s) = -42*s + 1. Let o(k) = 23*k - 1. Let u(f) = -7*o(f) - 4*r(f). What is u(5)? 38 Let a(b) = 4*b**2 + 4*b**3 + 10 + b - 2*b - 13 - 4*b. Let d(x) = -11*x**3 - 12*x**2 + 16*x + 9. Let g(l) = 8*a(l) + 3*d(l). Calculate g(-5). -12 Suppose 312 - 4 = -7*n. Let u = n + 49. Let s(m) = -2*m + 3. Give s(u). -7 Let j be (3/(-4))/((-10)/40). Let q(x) = -x + 4 - 4*x**2 - 2*x**j + 7*x**2 - 3. Give q(2). -5 Let m(p) = p**2 + 22*p + 11. Let w(t) = 2*t**2 + 43*t + 23. Let b(k) = 11*m(k) - 6*w(k). Let y be b(-15). Let a(s) = -s**2 - 3*s + 2. What is a(y)? 4 Suppose k = -3*k + 12. Let o be 4 + -2 + (-16)/4 + k. Let y(z) = z**3 - z**2. Determine y(o). 0 Suppose -14*n + 231 = 91. Let z(w) = w**2 + 23*w + n - 12*w + 0*w - 2*w. Calculate z(-7). -4 Let x(s) = s**3 - 9*s**2 + 12*s + 13. Let m be (-20 - -19)*(-14)/2. Determine x(m). -1 Suppose 0 = -5*b - k + 113 + 7, -48 = -2*b - 5*k. Let r(d) = b + d - 3*d - 41 + 23. What is r(4)? -2 Let g(k) = 16*k + 9 + 0 + 19*k - 52*k + 18*k. Determine g(-4). 5 Let k = 9 + -15. Let o = -3 - k. Suppose 6 = 3*j + o. Let m(u) = -u**2 - 2*u + 1. Determine m(j). -2 Let l(b) = -b**2 - 6*b + 4. Let v be l(-6). Suppose -3*x + v = 19. Let y(p) = p**2 + 3*p - 6. Determine y(x). 4 Let k(f) = -f + 7. Let w be k(5). Suppose 10 = 2*a - w*m, 0*a + 2*m - 2 = -4*a. Let h(v) = -1 + 24*v - 30*v + a. Determine h(2). -11 Let w(j) be the third derivative of j**5/60 - 5*j**4/12 + 5*j**3/6 + 83*j**2. Give w(5). -20 Let m be -2*(-1)/(2 + -1). Let i(p) = -2*p**3 + 38*p**2 - 1 - 38*p**m. Calculate i(1). -3 Suppose 24 = -15*v + 23*v. Suppose -3*d - 4*a = -5, 4*d + 4 + 6 = v*a. Let w(q) = -10*q**3 - 1. Calculate w(d). 9 Let b(v) be the second derivative of -v**3/3 - v**2/2 + 2*v + 286. Give b(-1). 1 Let d(r) = -r**2 + 31*r - 26. Let v be d(30). Let l(k) = -k**3 + 5*k**2 - 2*k. Calculate l(v). 8 Suppose 35 = 5*l + 5*q, -3*l + 4*l + 5 = 2*q. Let i = 0 - l. Let t(y) = -1. Let z(x) = x - 1. Let p(b) = -3*t(b) - z(b). Determine p(i). 7 Let n(z) = 2*z - 11. Let g be n(8). Let a(r) = -6*r - 3*r + g + r + r**2. Determine a(6). -7 Let j(b) = -2*b**3 - 3*b**2 + 2*b - 1. Let r(u) = 22*u - 134. Let d be r(6). Calculate j(d). -1 Let o(c) = -2*c + 3*c + 0*c - 2*c**3 + 3*c**3. Let t(x) = 3*x**3 - 5*x**2 + 11*x - 1. Let l(v) = 4*o(v) - t(v). What is l(-6)? 7 Let x(w) = 9*w - 15. Let i(y) = -77*y + 126. Let z(g) = 5*i(g) + 42*x(g). Give z(2). -14 Suppose -j - 5*x = 4*j + 35, 3*j + 4*x = -24. Let v(t) be the second derivative of -t**5/20 - 5*t**4/12 - t**3/2 - t**2/2 + 507*t. Give v(j). -5 Let k = 962 - 961. Let f(m) = m**3 - m. Let z(w) = -23*w**3 + 3*w - 1. Let q(o) = 2*f(o) + z(o). What is q(k)? -21 Let t(q) = 2*q**2 - q - 2. Let w be ((-2)/3)/((-11)/(-33)). Determine t(w). 8 Suppose -1143*l + 1138*l - 55 = 0. Let k(j) = j**2 + 11*j + 9. Give k(l). 9 Let k(z) = z**3 + 5*z**2 - 5*z + 3. Let q be k(-5). Let u = -20 + q. Suppose -11 = -3*t + 3*g + 2*g, 0 = -3*t + 2*g + u. Let y(d) = 5*d - 1. Calculate y(t). 9 Let x = -129 - -104. Let g = 30 + x. Let k(o) = -o**3 + 5*o**2 + 7. What is k(g)? 7 Let z(x) = 6*x**3 - x**2 + x - 1. Let l be ((-6)/36)/(1/(-12)). Calculate z(l). 45 Let h(m) be the first derivative of m**2/2 - 2*m + 1. Let w be ((-6)/24)/((-1)/4). Let z be h(w). Let s(t) = -2*t**2 - 1. Calculate s(z). -3 Let l(g) = g**3 + 3*g**2 + 4*g + 5. Let j be ((-119)/133 - 3) + (-4)/38. What is l(j)? -27 Suppose 0 = -2*j - 3*t - 0 - 5, -5*j - 23 = -3*t. Let g(x) = -8*x**2 + 9*x**2 + 4*x**2 + x**3 + 1 + 3*x. What is g(j)? 5 Suppose 0 = 15*n - 4*n. Let r be 5/(-15)*n*1/
{ "pile_set_name": "DM Mathematics" }
ent from {s: 5, z: 1, m: 4, v: 2, b: 2}. Give prob of sequence sz. 5/182 Three letters picked without replacement from {m: 5, g: 6, z: 4}. Give prob of sequence mmm. 2/91 What is prob of sequence wott when four letters picked without replacement from {w: 1, d: 5, o: 8, t: 3, f: 2}? 1/1938 What is prob of sequence zl when two letters picked without replacement from {z: 7, l: 1}? 1/8 Four letters picked without replacement from {h: 12, x: 6}. Give prob of sequence xxxx. 1/204 Calculate prob of sequence wo when two letters picked without replacement from fwjozzf. 1/42 Two letters picked without replacement from {j: 3, o: 2, v: 1, q: 4, r: 1, h: 1}. Give prob of sequence hj. 1/44 Three letters picked without replacement from {y: 1, s: 1, p: 3}. What is prob of sequence pps? 1/10 What is prob of sequence owsn when four letters picked without replacement from nsowowosownonowonwo? 10/2907 Calculate prob of sequence tdtt when four letters picked without replacement from {d: 2, t: 3}. 1/10 What is prob of sequence rlm when three letters picked without replacement from gorrggrrllgmggl? 2/455 Two letters picked without replacement from {r: 4, b: 2, u: 1, x: 1}. What is prob of sequence xb? 1/28 Calculate prob of sequence oooo when four letters picked without replacement from {o: 12, q: 6}. 11/68 Four letters picked without replacement from vqlmljv. What is prob of sequence jmvl? 1/210 What is prob of sequence xbrb when four letters picked without replacement from {b: 2, x: 4, r: 7}? 7/2145 Four letters picked without replacement from {w: 1, u: 2, z: 1, s: 1}. Give prob of sequence uzus. 1/60 What is prob of sequence aam when three letters picked without replacement from {l: 1, s: 3, a: 8, m: 6}? 7/102 Four letters picked without replacement from {b: 3, o: 3}. What is prob of sequence bobo? 1/10 Two letters picked without replacement from ddtayaabtaacdacta. Give prob of sequence bc. 1/136 Calculate prob of sequence zzgt when four letters picked without replacement from ygzzysgsggtygggysgg. 1/5168 Two letters picked without replacement from {l: 6, e: 3, c: 7, a: 1}. Give prob of sequence al. 3/136 Calculate prob of sequence vv when two letters picked without replacement from {n: 4, j: 3, v: 5, s: 1, r: 4, d: 1}. 10/153 What is prob of sequence jjvx when four letters picked without replacement from {a: 1, v: 2, j: 11, i: 3, g: 1, x: 1}? 55/23256 Two letters picked without replacement from {z: 1, m: 4, y: 2, i: 2, f: 1, w: 2}. Give prob of sequence zi. 1/66 Two letters picked without replacement from kuuudnduk. What is prob of sequence ud? 1/9 Two letters picked without replacement from {y: 1, f: 2, a: 2, m: 1, r: 2}. What is prob of sequence ry? 1/28 Four letters picked without replacement from {d: 5, i: 3, o: 2, g: 1, m: 1}. Give prob of sequence ddom. 1/297 Calculate prob of sequence fes when three letters picked without replacement from {e: 2, s: 3, z: 4, w: 1, f: 1, n: 1}. 1/220 Four letters picked without replacement from yzzrrryry. Give prob of sequence zzyy. 1/252 Two letters picked without replacement from nnnjjnn. What is prob of sequence jj? 1/21 Calculate prob of sequence tj when two letters picked without replacement from {r: 1, t: 4, j: 9}. 18/91 Three letters picked without replacement from mrmmmmmmmmmmmmm. What is prob of sequence rmm? 1/15 Four letters picked without replacement from aakalflaakfallfaafak. Give prob of sequence alkk. 3/1615 Two letters picked without replacement from {o: 3, x: 7}. What is prob of sequence oo? 1/15 Four letters picked without replacement from blrmrzx. Give prob of sequence lxzm. 1/840 Two letters picked without replacement from {r: 1, z: 1, d: 4, h: 1, q: 2}. What is prob of sequence zr? 1/72 Three letters picked without replacement from bwkwqdpd. What is prob of sequence kdd? 1/168 Calculate prob of sequence jjj when three letters picked without replacement from jjjjjjjjj. 1 Three letters picked without replacement from {w: 1, f: 1, b: 2, r: 2, p: 2}. What is prob of sequence bwb? 1/168 Calculate prob of sequence cscn when four letters picked without replacement from nxnnncnsd. 0 Three letters picked without replacement from tssskttsttttsstktt. What is prob of sequence tks? 5/204 Two letters picked without replacement from vlvwxlrcc. What is prob of sequence rl? 1/36 Calculate prob of sequence dd when two letters picked without replacement from {a: 10, d: 4}. 6/91 Two letters picked without replacement from {s: 1, r: 7, g: 2, b: 5, f: 1}. Give prob of sequence sg. 1/120 Three letters picked without replacement from iwiixxwixb. Give prob of sequence xix. 1/30 Four letters picked without replacement from {x: 7, o: 4, z: 2}. What is prob of sequence zoox? 7/715 Three letters picked without replacement from {j: 5}. Give prob of sequence jjj. 1 Two letters picked without replacement from {b: 1, z: 2, d: 4, k: 1}. Give prob of sequence zd. 1/7 Calculate prob of sequence mvv when three letters picked without replacement from {g: 2, v: 2, m: 1}. 1/30 What is prob of sequence rp when two letters picked without replacement from {r: 4, p: 2, v: 2, h: 2}? 4/45 What is prob of sequence hi when two letters picked without replacement from {y: 1, d: 1, o: 2, h: 4, i: 2, u: 2}? 2/33 Four letters picked without replacement from {r: 9, q: 10}. What is prob of sequence qrrq? 45/646 Two letters picked without replacement from hhhhhhhdhdhh. Give prob of sequence dh. 5/33 Calculate prob of sequence zzw when three letters picked without replacement from wwzzwzzwzz. 1/6 Two letters picked without replacement from {w: 3}. What is prob of sequence ww? 1 Four letters picked without replacement from {a: 4, t: 4, u: 1, g: 2, c: 2, z: 1}. Give prob of sequence tztt. 1/1001 What is prob of sequence kkk when three letters picked without replacement from {k: 6, f: 3, n: 1, o: 2}? 1/11 Three letters picked without replacement from dffdddd. Give prob of sequence ffd. 1/21 Two letters picked without replacement from {g: 13, s: 4, e: 3}. What is prob of sequence gs? 13/95 What is prob of sequence ee when two letters picked without replacement from {e: 9, u: 9}? 4/17 Three letters picked without replacement from fmmklkb. What is prob of sequence fkk? 1/105 Two letters picked without replacement from {p: 5, r: 4, w: 1}. What is prob of sequence wr? 2/45 Four letters picked without replacement from {p: 2, g: 3, o: 13}. What is prob of sequence ogoo? 143/2040 Two letters picked without replacement from fweeefwe. What is prob of sequence ww? 1/28 Four letters picked without replacement from mmhgdhmhhmdhdmdmhm. What is prob of sequence mmmh? 7/408 Four letters picked without replacement from {e: 1, i: 2, l: 5, x: 1, a: 7}. Give prob of sequence ialx. 1/624 Two letters picked without replacement from {k: 3, r: 7, m: 2}. What is prob of sequence kr? 7/44 Two letters picked without replacement from {b: 6, i: 8, m: 3}. Give prob of sequence mi. 3/34 What is prob of sequence xu when two letters picked without replacement from {w: 4, z: 1, m: 3, x: 1, u: 2, r: 1}? 1/66 Calculate prob of sequence sa when two letters picked without replacement from {x: 2, y: 2, a: 1, p: 7, s: 7}. 7/342 Two letters picked without replacement from uuzzrr. What is prob of sequence zz? 1/15 Four letters picked without replacement from fqfqqffqqqqqqfqfqqf. Give prob of sequence ffqq. 77/1292 What is prob of sequence gig when three letters picked without replacement from igipggiii? 5/84 What is prob of sequence icot when four letters picked without replacement from {g: 1, t: 3, i: 3, c: 4, o: 6, p: 2}? 3/1292 What is prob of sequence atna when four letters picked without replacement from {t: 4, a: 2, n: 3}? 1/126 Two letters picked without replacement from {l: 3, w: 4}. Give prob of sequence ww. 2/7 Calculate prob of sequence qvhq when four letters picked without replacement from {h: 11, q: 2, v: 1}. 1/1092 Calculate prob of sequence ew when two letters picked without replacement from {w: 9, k: 1, e: 1}. 9/110 Two letters picked without replacement from yycyycyclyyyclc. What is prob of sequence cy? 4/21 Three letters picked without replacement from {d: 2, p: 2, j: 4}. What is prob of sequence jjj? 1/14 What is prob of sequence vv when two letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
*(d + 1)/4 Suppose -95*p + 119*p = 72. Factor -4/17 - 2/17*b + 2/17*b**p + 4/17*b**2. 2*(b - 1)*(b + 1)*(b + 2)/17 Solve -4*v**3 + 0*v**3 + 296352 + 504*v**2 - 8179*v - 12989*v = 0 for v. 42 Let a(q) = -q**3 - 5*q**2 + 9*q - 14. Let j be a(-7). Find i, given that -j*i + 3*i**2 + 18 + i**2 - i**2 = 0. 1, 6 Let r(f) be the second derivative of -2*f**7/189 - 8*f**6/45 - 10*f**5/9 - 88*f**4/27 - 46*f**3/9 - 40*f**2/9 + 21*f. Suppose r(g) = 0. Calculate g. -5, -4, -1 Suppose 2*b + 0*a = 3*a - 19, -2*b - 29 = -5*a. Let c = 0 - b. What is t in -14/5*t - c*t**3 + 4/5 + 18/5*t**2 + 2/5*t**4 = 0? 1, 2 Factor 40896/5*s**2 + 2/5*s**4 + 0 + 40328/5*s + 114*s**3. 2*s*(s + 1)*(s + 142)**2/5 Let l(q) be the first derivative of -1/3*q**3 + 5*q - 2*q**2 - 12. Factor l(t). -(t - 1)*(t + 5) Factor 33 + 21/4*t**2 + 30*t - 3/4*t**3. -3*(t - 11)*(t + 2)**2/4 Suppose 2/7*b**3 + 34/7*b**2 + 142/7*b + 110/7 = 0. What is b? -11, -5, -1 Let s = 20 + -15. Factor -17*n**2 + 8*n**4 + 8*n - s*n - n - 24*n**4 + 40*n**3. -n*(n - 2)*(4*n - 1)**2 Factor 4 + 36 - x**2 + 23 + 0*x**2 + 12*x - 2*x**2. -3*(x - 7)*(x + 3) Let y(j) = -j**3 - 3*j**2 + 4*j + 3. Let i be y(-4). Factor i*z - 11 + 11 - 3*z**2. -3*z*(z - 1) Factor -5*h**5 + 7*h**4 + 18*h**4 + 437*h**3 - 467*h**3. -5*h**3*(h - 3)*(h - 2) Let t(h) be the first derivative of -h**4/4 + 4*h**3/3 - 5*h**2/2 + 2*h - 112. Suppose t(j) = 0. Calculate j. 1, 2 Suppose 2*x - 24 = -2*v, 0 = -4*x - 0*x + 16. Suppose -6 = -2*h - 0. Determine n, given that 4*n**2 - 2*n**3 - 6*n**h - 7*n**4 + 3*n**4 + v*n = 0. -2, -1, 0, 1 Let q(u) be the second derivative of -7*u**6/120 - u**5/2 - 3*u**4/2 - 4*u**3/3 + 2*u**2 + 125*u - 3. Factor q(o). -(o + 2)**3*(7*o - 2)/4 Let n(l) = -l - 10. Let c be n(0). Let s = c - -18. What is f in s*f + 12*f**2 + 3*f**3 - 5*f + 16*f**3 - f**3 + 3*f**5 + 12*f**4 = 0? -1, 0 Let c(d) = d**5 - d**3 - d. Let o = 8 - 9. Let a(y) = 2*y**5 + y**4 - 2*y**3 - y**2 - 3*y. Let l(i) = o*a(i) + 3*c(i). Factor l(s). s**2*(s - 1)**2*(s + 1) Suppose -433*x = -428*x - 10. Find q such that 1/4*q**5 - q**4 + 5/4*q**3 + 0 + 0*q - 1/2*q**x = 0. 0, 1, 2 Determine d, given that -22*d**3 - 5635*d + 2*d**3 + 5655*d - 24 + 68*d**2 - 44*d**4 = 0. -1, 6/11, 1 Let j(z) = -5*z - 27. Let x be j(-7). Let k be (-225)/(-18)*x/110. Let 12/11*d**2 - k*d**4 - 6/11*d**5 + 2/11*d + 4/11*d**3 - 2/11 = 0. What is d? -1, 1/3, 1 Let t(h) = -947*h - 13256. Let p be t(-14). Factor 0*l - 2/17*l**p - 2/17*l**3 + 0. -2*l**2*(l + 1)/17 Let c(d) be the third derivative of -d**6/72 - d**5/10 - d**4/6 + 17*d**3/3 - 13*d**2. Let g(b) be the first derivative of c(b). Determine y so that g(y) = 0. -2, -2/5 Let y(a) be the third derivative of -a**8/84 - 2*a**7/5 - 4*a**6 - 20*a**5/3 + 9*a**2. Factor y(c). -4*c**2*(c + 1)*(c + 10)**2 Let b(z) = z**2 + 1. Let n be b(0). Suppose -i + 3*y = 5, 2*i + y + 9 = 5*i. Factor k**2 - i*k**2 + 9*k - 5 - n. -3*(k - 2)*(k - 1) Suppose -96 = 6*a - 30. Let d(p) = -40*p - 3*p**2 + 15 - 21*p**2 + 25*p**3 + 5. Let q(r) = 5*r**3 - 5*r**2 - 8*r + 4. Let g(x) = a*q(x) + 2*d(x). Factor g(c). -(c - 2)*(c + 1)*(5*c - 2) Let c(w) be the first derivative of w**6/12 - w**5/5 - 3*w**4/2 - 7*w**3/3 - 5*w**2/4 + 16. Factor c(p). p*(p - 5)*(p + 1)**3/2 Let b(c) be the first derivative of -c**4/54 - 4*c**3/27 + 41*c + 28. Let u(q) be the first derivative of b(q). Factor u(n). -2*n*(n + 4)/9 Let r(j) be the second derivative of -13*j + 0 - 12/5*j**5 + 4/3*j**3 + 0*j**2 + 5/3*j**4. Let r(h) = 0. What is h? -1/4, 0, 2/3 Let c(z) be the first derivative of z**3/15 - 7*z**2/10 - 157. Factor c(x). x*(x - 7)/5 Let b(k) be the third derivative of 0*k**3 + 1/48*k**4 - 1/480*k**6 + 0*k + 9*k**2 + 1/240*k**5 + 0. Let b(q) = 0. Calculate q. -1, 0, 2 Suppose -21 = -42*d + 39*d. Factor -12*v**3 - d*v**4 + 3*v**5 - 3*v**5 - 5*v**4 + 6*v**2 + 6 + 15*v - 3*v**5. -3*(v - 1)*(v + 1)**3*(v + 2) Let y(s) = s**5 + 4*s**4 + 3*s**3 - 10*s**2 - 2*s. Let j(u) = 8*u**5 + 31*u**4 + 24*u**3 - 80*u**2 - 17*u. Let m(l) = -6*j(l) + 51*y(l). Solve m(o) = 0 for o. -5, -2, 0, 1 Factor 2/7*u**3 + 0 - 32/7*u - 30/7*u**2. 2*u*(u - 16)*(u + 1)/7 Let p be 28/24 + 68/51. Factor -5/2*m**4 - p + 0*m + 5*m**2 + 0*m**3. -5*(m - 1)**2*(m + 1)**2/2 Let c(l) be the first derivative of -4*l**4 + 14*l**3/3 + l**2 - 423. Factor c(q). -2*q*(q - 1)*(8*q + 1) Let q(y) be the first derivative of y**7/280 - y**6/20 + y**5/8 - 4*y**3 + 40. Let f(r) be the third derivative of q(r). Let f(o) = 0. What is o? 0, 1, 5 Let a = 5072/5 - 1014. Factor a*g**3 + 14/5*g**2 - 32/5 + 16/5*g. 2*(g - 1)*(g + 4)**2/5 What is m in -671*m**3 - 1161*m**4 + 1872*m + 48 + 12*m**5 + 49*m**5 + 888*m**2 - 745*m**3 - 292*m**5 = 0? -2, -2/77, 1 Find u, given that 1/5*u**5 - 22/5*u**3 + 38/5*u**2 - 27/5*u + 3/5*u**4 + 7/5 = 0. -7, 1 Suppose -45 = -2*v - 3*v. Let j = v + -2. Let 2 - h**3 - 3 - 2*h**3 + 0 - j*h**2 - 5*h = 0. Calculate h. -1, -1/3 Let y(b) = -20*b + 28. Let m(z) = -8*z + 11. Let u(v) = 12*m(v) - 5*y(v). Let o be u(6). Solve 3*h**3 - 7*h**4 + o*h**5 - 4*h**5 - 8*h**4 = 0 for h. 0, 1/4, 1 Suppose -5*t = 5*b - 30, 2*b - 2 = t + 1. What is i in -8/13*i**2 + 0 + 6/13*i + 2/13*i**b = 0? 0, 1, 3 Let b be (0 + 37/30)/((-408)/(-336)). Let a = b - 15/17. Factor -a*o**2 + 0 + 0*o. -2*o**2/15 Let l(q) be the first derivative of -3*q**2/2 - 18*q - 6. Let b be l(-6). Solve 1/5*x + b - 1/5*x**2 = 0 for x. 0, 1 Let a(k) = k**3 + 16*k**2 + 63*k + 183. Let m be a(-12). Suppose -14/3*t - 14/3*t**2 + 2*t**m + 2 = 0. What is t? -1, 1/3, 3 Let r(t) = -20*t**3 + 15*t**2 - 5*t. Let o = 6 - 10. Let f(w) = w**4 - 19*w**3 + 14*w**2 - 4*w. Let a(l) = o*r(l) + 5*f(l). Factor a(v). 5*v**2*(v - 2)*(v - 1) Suppose j + 209 = 12*j. Suppose 0*q + j*q = 4*q. Solve q*t - 1/7*t**2 + 1/7 = 0. -1, 1 Let b(x) = x**2 - 4*x - 6. Let w be b(6). Factor -w*s**2 + s**2 + s**2 + 0*s**2 - 36 + 24*s. -4*(s - 3)**2 Let z(u) be the first derivative of u**4/8 + u**3/2 - 9*u**2/4 + 5*u/2 + 30. Solve z(t) = 0. -5, 1 Let b(t) = t**2 - 2*t - 12. Let j be b(5). Let -j - 6*i + 12*i**3 + 4*i - 18*i**2 + 4*i + 10*i - 3*i**4 = 0. Calculate i. 1 Factor -6/7 + o - 1/7*o**2. -(o - 6)*(o - 1)/7 Let g be (-25)/(-9) - 36/(-162). Suppose -3*t = g - 9. Factor -c**4 - 1 + 0*c**4 - 2*c**3 + 2*c + t. -(c - 1)*(c + 1)**3 Let a be -3*65/39 - -5. Let u = -3/31 + 99/62. Solve u*k**2 + a + 1/2*k**5 - 3/2*k**4 + 1/2*k**3 - k = 0. -1, 0, 1, 2 Let t(z) = -3*z**2 + 228*z - 2643. Let f(j) = -j**2 + j - 1. Let s(o) = -2*f(o) - t(o). Suppose s(b) = 0. Calculate b. 23 Let y(u) = -u**2 - 1. Let q(j) = -j**3 + j**2 + 18*j + 8. Let z(r) = 5*q(r) + 40*y(r). Let z(m) = 0. Calculate m. -9, 0, 2 Let w(c) = 10*c + 12. Let b be w(3). Let a = 47 - b. Suppose 1/2*s**2 - 1/2*s**4 + 3/4*s**3 + 0*s + 0 - 3/4*s**a = 0. What is s? -1, -2/3, 0, 1 Let u be 5 + -4 + 12/(2 + 1). Factor 384*r - 72*r**3 + 30*r**4 + 45*r**2 - 141*r**2 - 22*r**u + 19*r**5. -3*r*(r - 4)**3*(r + 2) Let 2/3*b + b**2 + 0 + 1/3*b**3 = 0. Calculate b. -2, -1, 0 Suppose -5*a + 4*z - 54 = -8*a, 3*a - 4*z - 54 = 0. Let k = 5 - 2. Factor -2*n**k - 8*n - 8*n**2 + 18 - a. -2*n*(n + 2)**2 Solve -2/17*v**3 - 2/17*v**4 + 20/17*v**2 + 0 - 16/17*v = 0. -4, 0, 1, 2 Let l = -7849 + 7852. Factor -d**l + 1/4*d**4 + 0 + 0*d + d**2. d**2*(d - 2)**2/4 Let k(v) be the first derivative of -v**3/3 + 33*v**2/2 - 50. Factor k(a). -a*(a - 33) Suppose 0 = -5*i - 4*o - 32 - 50, 3*i - 3*o = -33. Let s(c) = -c - 12. Let g be s(i). Factor 2*h**4 - g*h**3 + 2*h + 4 - 4 - h**2 - h**2. 2*h*(h - 1)**2*(h + 1) Let l(n) be the second derivative of n**4/8 - 9*n**3/2 - n - 295. Factor l(y). 3*y*(y - 18)/2 Let h(o) be the second derivative of o**4/27 - 112*o**3/27 + 1568*o**2/9 + 2*o + 57. Factor h(i). 4*(i - 28)**2/9 Suppose 35*y - 473 = -403. Factor -2/3*f**4 - 2/3*f**3 + y*f**2 + 4/3 + 10/3*f. -2*(f - 2)*(f + 1)**3/3 Let -4/7*l**3 + 0*l**2 + 0 + 4/7*l = 0. Calculate l. -1, 0, 1 Let k(l) be the first derivative of -l**5/60 + l**3/18 - 9*l + 28. Let b(p) be the first derivative of k(p). Let b(a) = 0. Calculate a. -1, 0, 1 Let n(k) be the second derivative of k**8/2240 - k**7/840 + 7*k**4/12 + 18*k. Let d(b) be the third derivative of n(b). Factor d(a). 3*a**2*(a - 1) Determine g, given that 4 + 1/6*g**4 + 3/2*g**3 + 22/3*g + 5*g**2 = 0. -3, -2 Let n(y) = y**3 + 137*y**2 + 530*y - 263. L
{ "pile_set_name": "DM Mathematics" }
0.06 (d) -0.1 (e) 0.3 (f) -35 e Which is the fourth smallest value? (a) -290 (b) -2/5 (c) 202 (d) -0.3 c What is the biggest value in 1/6, 1/19, 0.1, -109/609? 1/6 Which is the smallest value? (a) -2/273 (b) -0.4 (c) -8 (d) 4 (e) -3/4 (f) -52/3 (g) 0.3 f Which is the smallest value? (a) -1 (b) 1.21 (c) 1/2 (d) -2/83 a Which is the smallest value? (a) -0.978 (b) -1/5 (c) 12 (d) 13/42 a What is the biggest value in -14.6, 3/5, -0.3371, -0.5, -4? 3/5 What is the third biggest value in -3/2, -0.4, -1/22, -0.5, 25.1, 4, 0? 0 What is the second smallest value in 0.05, -22, 0.1, -84452? -22 Which is the second biggest value? (a) -3/7 (b) -11/5934 (c) 2 b What is the third biggest value in -5, 41/6, 4, 2/3, -3/4, 1673, -0.5? 4 Which is the third biggest value? (a) 4 (b) -1181090 (c) -14 b What is the fourth smallest value in -180, -79, 2/7, 66/5, 0, -0.02? 0 What is the second smallest value in 24, -17, 11.7, -124? -17 What is the third biggest value in -3/32, 1.5, -0.2, 241, -3/5? -3/32 What is the second smallest value in 6.74, -2.7, 20? 6.74 Which is the fourth smallest value? (a) 4/33 (b) -4 (c) -1 (d) 0.286 (e) 0.4 d What is the fourth smallest value in 0.02, -2, 5, -0.0078, 525? 5 Which is the second smallest value? (a) -0.0551 (b) 2015 (c) 70 (d) -3 a Which is the second biggest value? (a) -15 (b) -0.04 (c) -6 (d) -2 (e) -6.3 d Which is the biggest value? (a) -1/6 (b) 34765 (c) 0 (d) 2 b What is the third biggest value in -0.3, 16.01, -2/17, -1/5, -2, -3? -1/5 Which is the sixth smallest value? (a) 1 (b) 54.016 (c) 5 (d) -7 (e) -0.2 (f) -1 (g) 0.5 c What is the third smallest value in -146850815, -0.2, 4? 4 What is the third smallest value in -3/8, 13, -6, 5, 2, -0.4, 20? -3/8 Which is the biggest value? (a) -9 (b) -1/4 (c) 0.4 (d) 0.52 (e) -1144 d What is the smallest value in 451, 93, 1, 0.5, 19/3? 0.5 What is the biggest value in 1/6, 13, 0.3, -71569, 0? 13 Which is the second smallest value? (a) 3139/15 (b) 2/9 (c) 213 a Which is the second smallest value? (a) 21/1432 (b) -71 (c) -1/8 (d) -0.2 (e) -2/11 d What is the smallest value in -1.93, 0.5, -2, 378, 8? -2 What is the second biggest value in -69907, 0, 2/17, -3? 0 Which is the second biggest value? (a) 0.3 (b) -4.79163 (c) -3 c Which is the third biggest value? (a) -1238 (b) 5 (c) -4 (d) 5.6 c Which is the second smallest value? (a) 1/8 (b) 1128502 (c) 0.1 a What is the second biggest value in 4720, 5, -412? 5 What is the smallest value in -108, 0.1, -13, -399, -2/21? -399 Which is the smallest value? (a) -41 (b) 11 (c) -2 (d) -118 d What is the fourth smallest value in -12, 0.2, -720182, 0? 0.2 What is the third biggest value in -0.4, 838998, -2.4? -2.4 What is the second biggest value in 18, -2/11, -1, 0.531? 0.531 What is the fourth biggest value in -2, -11, -0.4, -0.3, 0, 12/7247? -0.4 What is the biggest value in 16, 0.079, -0.061, -2/15, 3/4, 1/2? 16 Which is the fifth smallest value? (a) -8/5 (b) 1 (c) -2 (d) -3.6 (e) 0.05 b Which is the third smallest value? (a) 2 (b) 137 (c) -236710 b What is the biggest value in 2, -114, 19678, -5? 19678 What is the fourth biggest value in 0.4, -3/5, -12, -0.499, -76? -12 What is the third smallest value in 0, 4508810, 26? 4508810 What is the fourth smallest value in 0, 13, -1, 6/13, 2, 7.9? 2 Which is the biggest value? (a) 55 (b) 0.01 (c) -0.1 (d) 9 (e) 3 (f) 1/5 a What is the third biggest value in -11/5, 72, -1/6, -1/4, 28? -1/6 What is the fourth biggest value in 9/2, -3, -5, 924/23, 6? -3 What is the fourth biggest value in -2/3, -1/56, -11, 1, -4/77? -2/3 Which is the second biggest value? (a) -4 (b) -131989 (c) 4 (d) 0 (e) -3/7 d Which is the second smallest value? (a) 0.4 (b) 5 (c) 275/17526 (d) 2/9 d Which is the third biggest value? (a) -144 (b) -0.3 (c) 0 (d) 3 (e) 18/5 (f) 2 f Which is the fourth biggest value? (a) 0.5 (b) -2/13 (c) 3 (d) -249.2 (e) 0 (f) 4 (g) 5 a What is the fifth biggest value in 4.866, -2/113, -19.3, -1/6, 2/3? -19.3 What is the third smallest value in -5, 78/65789, -2, 0.2, 3/5? 78/65789 What is the fourth biggest value in 76, -3/4, -3, -0.1, 46, 6, 2/5? 2/5 What is the second biggest value in 80, 2/7, 1.160104? 1.160104 What is the biggest value in 2/17, 37, -22008, 1, 2? 37 Which is the second biggest value? (a) 2 (b) -2 (c) 2.9 (d) -0.34 (e) 5 (f) 4/5 c What is the fourth smallest value in 3, -0.2, -1/24, -2/39, 1, -17, 207? -1/24 Which is the fourth smallest value? (a) -2/5 (b) -25.02 (c) 539 (d) 0.2 c Which is the second biggest value? (a) 34699 (b) 0 (c) 13 (d) 5/2 c What is the second biggest value in 403, -0.2, 0.040938, 1? 1 Which is the smallest value? (a) 139595.7 (b) 37 (c) -1 c What is the second smallest value in 22, 23.5, 2, 0.1, 30, 5? 2 What is the second smallest value in 0.02, -6124.1, 13, -2? -2 What is the second biggest value in 0.4, 2/33, -1/20, 4, -1, -0.54? 0.4 Which is the sixth biggest value? (a) 10 (b) -6/11 (c) 19097 (d) 0.4 (e) -5 (f) -0.05 (g) -1/3 b Which is the biggest value? (a) -347 (b) 52 (c) -499 (d) 3 b Which is the second biggest value? (a) 4 (b) -11 (c) -0.051 (d) 1 (e) -0.4 (f) -1.98 d Which is the biggest value? (a) 2/415 (b) 8/19 (c) 5/7 c What is the second biggest value in -9/5, -292, 7442? -9/5 Which is the third biggest value? (a) -3 (b) -13 (c) 11 (d) 5/3 (e) 33 (f) 19.2 c What is the second smallest value in -0.1, 1/4, 1, -0.015, -16, -4? -4 What is the third biggest value in -2082.029, -0.6, 1, -5? -5 Which is the biggest value? (a) -17 (b) -3/8604236 (c) 3 (d) -5 c What is the third smallest value in 1, 27842, 3, -85, 3/2, 4? 3/2 Which is the third smallest value? (a) 8 (b) 0.2 (c) -8 (d) -1/4 (e) 0.128 e Which is the third smallest value? (a) 1/9 (b) 119594 (c) 2/7 (d) -4 c Which is the fifth smallest value? (a) -0.2 (b) 1/4 (c) 232 (d) 591 (e) 5 (f) -3 (g) -2/3 e What is the third smallest value in 0.1, -2098, 22, 1/4, 3, -1? 0.1 Which is the second biggest value? (a) -0.5 (b) 0.5 (c) 37.4 (d) -5/8 (e) 2/13 (f) 0.02 b Which is the fourth smallest value? (a) -12/19 (b) 1 (c) 2/7 (d) -46 (e) 2/19 c What is the second biggest value in 224, 5/6, -8.3107? 5/6 Which is the third biggest value? (a) 47536829 (b) 0.1 (c) -1 c Which is the biggest value? (a) 3.5 (b) -4 (c) -8 (d) -7 (e) 1/358 a What is the fourth biggest value in -5, -0.02, -39.8794, -0.8? -39.8794 What is the smallest value in -6, -3, -8266, 0.105? -8266 Which is the third biggest value? (a) 0.05 (b) 3 (c) 4272 (d) 128 b What is the fourth biggest value in -0.34, 12629, 2/15, 3? -0.34 Which is the biggest value? (a) 12 (b) -5 (c) -3 (d) 0.2 (e) 3039 (f) -3/2 e Which is the third smallest value? (a) 104 (b) -33 (c) 110 (d) 2/17 (e) 0.3 (f) 5 (g) 0 d Which is the biggest value? (a) -1408 (b) 10/3 (c) 8/3 (d) -1/3 b What is the second biggest value in 8, -8/9, -4/5, 4, -2/1667, -2/11? 4 What is the second smallest value in 967.86, 10, 246? 246 What is the biggest value in -103, 3, 2.2, 5, 165? 165 What is the biggest value in -29361617, -4, 0.5? 0.5 What is the sixth smallest value in 0.49, -0.1, -1/3, -3, 0.89, -2, -0.3? 0.49 What is the smallest value in 4, 19556/5, -1.3, 0.009? -1.3 What is the fourth smallest value in 41.384, 3, -3, 0.2? 41.384 What is the biggest value in 4, 0.5, 4953, -3/5? 4953 What is the third smallest value in 1/8, 4, -2, -0.4, -3, -4/51, 1302? -0.4 Which is the fifth smallest value? (a) 4 (b) -3 (c) -13/2 (d) -389 (e) -2/7 (f) -5 (g) 17 e Which is the fifth smallest value? (a) 2 (b) 0.0087 (c) 1524.78 (d) -0.4 (e) 3 c Which is the third smallest value? (a) 3.1 (b) 3 (c) -3 (d) 685 (e) -14/9 b Which is the third biggest value? (a) 4/2493 (b) 4 (c) -2/303 c Which is the fourth biggest value? (a) 0.12 (b) 2/151 (c) 2/455 (d) 5 (e) 8 b What is the second biggest value in 0.1, -4, 68, -9, 1? 1 Which is the sixth biggest value? (a) 3/122 (b) -1 (c) 1/2 (d) -20 (e) -0.7 (f) 1/4 d Which is the third biggest value? (a) 1 (b) 119 (c) -2 (d) 0.036 (e) 8/9 e Which is the second biggest value? (a) -0.3 (b) -7 (c) -16/5 (d) 20
{ "pile_set_name": "DM Mathematics" }
= -101447/33 + 3073. Let x = w + 251/132. Factor -1/4*q**4 + x*q**2 + 1/4*q - 1/4*q**3 - 1/2. -(q - 1)**2*(q + 1)*(q + 2)/4 Let h(f) = -172*f + 364. Let m(s) = -s**2 - 6. Let v(g) = h(g) + 2*m(g). Determine c so that v(c) = 0. -88, 2 Suppose -5046 - 2/3*p**2 + 116*p = 0. What is p? 87 Let r(h) be the second derivative of h**8/10080 - h**7/1680 - 17*h**3/2 - 2*h - 7. Let g(n) be the second derivative of r(n). Let g(b) = 0. Calculate b. 0, 3 Suppose -b - 3*b = -8, -14 = -h - 5*b. Factor -7*c**5 + 24*c**2 + 19*c**5 - 8*c**4 - 10*c**5 - h*c**3 + 18*c. 2*c*(c - 3)**2*(c + 1)**2 Let r(s) be the third derivative of 40*s**2 + 0*s**3 + 1/78*s**4 + 0*s - 7/130*s**5 + 0. Factor r(i). -2*i*(21*i - 2)/13 Let f(n) be the third derivative of -n**7/210 + 17*n**6/120 - 17*n**5/20 - 17*n**4/24 + 26*n**3/3 + 477*n**2 - 2. Let f(g) = 0. What is g? -1, 1, 4, 13 Let -32/21*n + 2/21*n**3 - 2/21*n**2 - 40/21 = 0. What is n? -2, 5 Solve -44*d**2 + 0 + 2/5*d = 0. 0, 1/110 Let i be 2 + 39/(-6) - 5/(-2). Let s be 6/i*(1 + 30/(-27)). Suppose 0 - s*l**2 + 0*l = 0. Calculate l. 0 Let m(x) be the second derivative of 5*x**4/12 + 4505*x**3/3 + 4059005*x**2/2 + 3096*x. What is o in m(o) = 0? -901 Let l be 17/2992*-16 + -2*(69/(-66) + 1). Factor -2/7*i**2 + l*i + 0 - 3/7*i**3 + 1/7*i**5 + 0*i**4. i**2*(i - 2)*(i + 1)**2/7 Let p = 26522 + -26518. Let o(x) be the second derivative of -1/36*x**p + 2/9*x**3 + 5/6*x**2 + 0 - 43*x. Factor o(u). -(u - 5)*(u + 1)/3 Suppose 1120 = 21*a + 19*a. Suppose 0 = 154*f - 147*f - a. Find j such that -2/5*j**3 + 2/5*j**2 - 2/5*j**f + 0*j + 2/5*j**5 + 0 = 0. -1, 0, 1 Let f = 2 - 0. Suppose -12 = -2*c + 2*w, f*c - 5*w - 22 = c. Factor -c*h**3 + 2*h**4 + 6*h + 7*h + h**2 - 11*h - 3*h**2. 2*h*(h - 1)**2*(h + 1) Let j(d) be the second derivative of 2*d**6/15 - 43*d**5/5 + 26*d**4 + 344*d**3/3 - 656*d**2 + 40*d - 11. Factor j(u). 4*(u - 41)*(u - 2)**2*(u + 2) Let y(o) be the third derivative of -o**8/16800 - o**7/3150 + o**6/600 - 25*o**4/8 + 107*o**2. Let v(n) be the second derivative of y(n). Factor v(g). -2*g*(g - 1)*(g + 3)/5 Let t(n) be the second derivative of -n**4/18 - 98*n**3/9 - 2401*n**2/3 - 1771*n. Let t(h) = 0. Calculate h. -49 Factor 1/4*j**5 - 247/4*j + 23/2*j**3 - 38*j**2 - 49/2 + 25/2*j**4. (j - 2)*(j + 1)**3*(j + 49)/4 Let g be 15 + (-19 + 319)/(-20). Let f(m) be the first derivative of 14 + 0*m**2 - 2*m**3 + 9/4*m**4 + g*m - 3/5*m**5. Factor f(o). -3*o**2*(o - 2)*(o - 1) Let 264/7*p**4 - 72 - 1053/7*p**3 + 1236/7*p + 15/7*p**5 + 438/7*p**2 = 0. Calculate p. -21, -1, 2/5, 2 Suppose 0 = -5*n, -235*y = -238*y + 2*n. Let o(g) be the third derivative of -121/3*g**3 + 0*g - 1/30*g**5 + y + 33*g**2 - 11/6*g**4. Let o(q) = 0. What is q? -11 Let a = -18565/76 + 4836/19. Let m be 4/14 - (-251)/28. Let -1/2 + g**5 + a*g**3 + 15/4*g - m*g**2 - 21/4*g**4 = 0. Calculate g. 1/4, 1, 2 Let v(g) be the second derivative of g**4/3 - 50*g**3/3 - 300*g**2 + 3*g + 129. Factor v(l). 4*(l - 30)*(l + 5) Let k(d) be the second derivative of 1/10*d**5 - 18 + 16*d**2 + 6*d + 20/3*d**3 + 4/3*d**4. Factor k(m). 2*(m + 2)**2*(m + 4) Let i(k) = k**5 - 5*k**4 + k**3 + 25*k**2 - 26*k. Let q(c) = -7*c**5 + 29*c**4 - 5*c**3 - 151*c**2 + 176*c. Let g(b) = -39*i(b) - 6*q(b). Factor g(h). 3*h*(h - 2)*(h + 1)**2*(h + 7) Let f(a) = -2*a + 2. Let d be f(-5). Let y(t) = -t**2 + 12*t + 4. Let h be y(d). Factor o**2 + 4 + h - 3 - 11*o**2 + 5*o**4. 5*(o - 1)**2*(o + 1)**2 Let r(x) be the first derivative of -x**6/6 + 7*x**5/5 + 7*x**4/2 - 44*x**3/3 - 20*x**2 + 64*x - 2274. Determine k, given that r(k) = 0. -2, 1, 2, 8 Let v(f) be the first derivative of -13*f**3 - 75*f**2 + 24*f - 54. Find q such that v(q) = 0. -4, 2/13 Find o such that 11*o**4 - 93*o**4 - 23*o**4 - 5*o**5 + 2970 - 55*o**3 - 10080*o + 5345*o**2 + 1930 = 0. -14, 1, 5 Suppose 20*w - 7 = 14*w + 11. Let x(q) be the second derivative of 5*q**2 + 0 - 5/6*q**4 - 9*q - 5/6*q**w + 1/4*q**5. Factor x(d). 5*(d - 2)*(d - 1)*(d + 1) Suppose 4*h - w - 41 + 2 = 0, h + 5*w - 36 = 0. Suppose 2*m + k = 3*k - 4, -4*m - h = -5*k. Factor 4*c - m + 1 - 5*c + c**2. c*(c - 1) Let p be 6*(-245)/(-21) + 4. Let -65*m - p*m**2 - 30 + 96*m**2 + 5*m**4 - 57*m**2 + 5*m**3 = 0. Calculate m. -2, -1, 3 Let s be 2*4 + -62 + 65. Let a be 689/39 - s - (0 - 4). What is l in -64/3*l + 2/3*l**4 + 16*l**2 - 16/3*l**3 + a = 0? 2 Let y(k) = -2*k**3 - 41*k**2 + 52*k. Let o(a) = -8*a**3 - 163*a**2 + 210*a. Let g(u) = 3*o(u) - 13*y(u). Factor g(s). 2*s*(s - 1)*(s + 23) Suppose 8*l = 40*l + 11648. Let u = 366 + l. Factor -2*c + u*c**3 + 1/2*c**4 - 2 + 3/2*c**2. (c - 1)*(c + 1)*(c + 2)**2/2 Let s(n) be the second derivative of -3*n**5/100 - 3*n**4/5 + 43*n**3/10 - 9*n**2 - n + 82. Factor s(l). -3*(l - 2)*(l - 1)*(l + 15)/5 Let b = 97 + -81. Let c be (9/6)/(152/b - 7). Determine x so that 0*x - 3/5*x**2 + c = 0. -1, 1 Factor -22*u**2 + 80*u**2 + 17*u**2 + 15*u**2 - 4*u**3 + 9*u**3. 5*u**2*(u + 18) Suppose -3*u + 40 = 5*d, -5*u = -47*d + 50*d - 72. Let v be 3/u + 4847/740. Determine t, given that 9/2*t + 3/4*t**2 + v = 0. -3 Let y(p) be the third derivative of p**8/392 + 5*p**7/147 - 11*p**6/84 - 3*p**5/14 + 13*p**4/21 + 20*p**3/21 - 64*p**2 - 5. Let y(t) = 0. Calculate t. -10, -1, -1/3, 1, 2 Suppose -r = -t - 1, 0*r + 3 = 4*r - 3*t. Suppose -f = 5*k + 1933 - 1946, -2*k - 2 = -2*f. Suppose -4/11*v + r + 10/11*v**k = 0. What is v? 0, 2/5 Solve -7/8*b**3 + 1/8*b**4 - 4 + 4*b + 3/4*b**2 = 0. -2, 1, 4 Let w(n) be the first derivative of n**6/480 + 7*n**5/60 - 225*n**2/2 - 120. Let l(v) be the second derivative of w(v). Find h, given that l(h) = 0. -28, 0 Let g = 74 - -676. Let n = g + -2997/4. Factor -n + 0*l + 3/4*l**2. 3*(l - 1)*(l + 1)/4 Let i(l) be the second derivative of -l**5/40 + 5*l**4/4 + 24*l**3 + 152*l**2 + 4800*l - 2. Factor i(c). -(c - 38)*(c + 4)**2/2 Let j(u) be the first derivative of u**6/150 - 2*u**5/25 + 11*u**4/30 - 4*u**3/5 - 53*u**2/2 + 13. Let x(v) be the second derivative of j(v). Factor x(a). 4*(a - 3)*(a - 2)*(a - 1)/5 Let u be (246/140 - 66/77) + 3/(-5). Let b(v) be the third derivative of 0*v - 5/6*v**4 + 0 - u*v**6 - 7*v**2 + 4/3*v**3 - 16/15*v**5. Factor b(f). -4*(f + 1)**2*(9*f - 2) Let j(z) be the first derivative of -z**4/8 + 13*z**3/6 - 3*z**2 - 9171. Factor j(c). -c*(c - 12)*(c - 1)/2 Factor -145800 - 360*h - 2/9*h**2. -2*(h + 810)**2/9 Factor 330750*j**3 - 7717500*j**2 + 243/4*j**5 + 90037500*j - 420175000 - 14175/2*j**4. (3*j - 70)**5/4 Suppose -5*x - 25*l - 55 = -30*l, 0 = -5*x - 10*l + 140. Determine k, given that -3/7 - 8/7*k**x - 11/7*k = 0. -1, -3/8 Let l(x) = x**3 + 2*x**2 - x - 2. Let f(d) = 238 - 12*d**3 - 208 + 63*d - 36*d**2 - 18*d**2. Let z(a) = -f(a) - 15*l(a). Factor z(q). -3*q*(q - 4)**2 Suppose 102*n**4 + 5*n**5 + 115*n**4 + 243*n + 340*n**3 - 91*n**4 + 500*n**2 - 41*n**4 - 3*n = 0. Calculate n. -12, -2, -1, 0 Let p(z) be the third derivative of -z**6/360 + 19*z**5/360 - 25*z**4/144 + 2*z**3/9 + 192*z**2 - 1. Suppose p(a) = 0. What is a? 1/2, 1, 8 Let g(n) be the first derivative of n**4/6 + 46*n**3/3 + 529*n**2 + 85*n - 152. Let f(m) be the first derivative of g(m). Determine v so that f(v) = 0. -23 Let w(u) be the third derivative of -u**8/840 + u**6/60 - u**4/15 + 2*u**2 - 65*u. Determine i, given that w(i) = 0. -2, -1, 0, 1, 2 Let a(f) be the third derivative of -31/72*f**4 + 0 - 5/18*f**3 - 17/60*f**5 - 1/40*f**6 + 0*f - 38*f**2. Factor a(r). -(r + 5)*(3*r + 1)**2/3 Let -2680*x**2 - 432*x + 5420*x**2 - 2730*x**2 - 352 = 0. Calculate x. -4/5, 44 Suppose 2*c - 4 = -0*c. Suppose 68*d - 207 = 269. Factor -d + 7 - 4*u**4 + 4*u**3 + 0 + 4*u**c - 4*u**5. -4*u**2*(u - 1)*(u + 1)**2 Let -27 - 1/3*a**3 + 1/3*a**2 + 27*a = 0. Calculate a. -9, 1, 9 Let q = -354 + 358. Factor -3 - 6*c**3 + 4*c**q - 6*c**2 + 89*c - 3*c**5 - 80*c + 5*c**4. -3*(c - 1)**4*(c + 1) Factor 2/13*j**3 + 172/13*j**2 - 358/13*j - 528/13. 2*(j - 3)*(j + 1)*(j + 88)/13 Let k = 1 - -1. Suppose -k = -y + 1. Factor -t**3 + 3*t**2 + 2*t**3 + 0*t**y + 2*t**3 - 6*t. 3*t*(t - 1)*(t + 2) Factor 768 - 32*u + 1/3*u**2. (u - 48)**2/3 Let w(r) be the first derivative of -r**4/5 + 92*r**3/15 - 236*r**2/5 + 384*r/5 + 218. Factor w(u). -4*(u - 16)*(u - 6)*(u - 1)/5 Let v be ((-3)/(-2))/(3/(-6)) + 19877/6116. Solve -v*u**3 - 27/4 + 9/4*u + 3/4*u**2 = 0. -3, 3
{ "pile_set_name": "DM Mathematics" }
ed by 9120? 386 Calculate the remainder when 13269024 is divided by 3955. 3954 What is the remainder when 3566071 is divided by 89142? 391 What is the remainder when 2082285 is divided by 7708? 1125 Calculate the remainder when 5397932 is divided by 65. 7 What is the remainder when 357990 is divided by 8364? 6702 What is the remainder when 96136 is divided by 3840? 136 What is the remainder when 4780503 is divided by 154209? 24 What is the remainder when 5548206 is divided by 346762? 14 Calculate the remainder when 6151096 is divided by 6489. 6013 What is the remainder when 6499103 is divided by 52412? 15 What is the remainder when 74720396 is divided by 1754? 1750 What is the remainder when 229541 is divided by 4026? 59 Calculate the remainder when 1507719 is divided by 331. 14 Calculate the remainder when 8795857 is divided by 724. 705 Calculate the remainder when 76345199 is divided by 257. 8 Calculate the remainder when 33872 is divided by 783. 203 What is the remainder when 183713530 is divided by 61237842? 4 What is the remainder when 64800 is divided by 1620? 0 What is the remainder when 275135930 is divided by 703? 8 What is the remainder when 2766448 is divided by 47? 28 Calculate the remainder when 78975 is divided by 441. 36 What is the remainder when 52483 is divided by 16998? 1489 What is the remainder when 7171257 is divided by 1792809? 21 Calculate the remainder when 2311796 is divided by 2121. 2027 Calculate the remainder when 12175992 is divided by 3143. 10 Calculate the remainder when 123049108 is divided by 2908. 2904 Calculate the remainder when 151702 is divided by 268. 14 Calculate the remainder when 684205 is divided by 11591. 336 What is the remainder when 853699 is divided by 16097? 558 What is the remainder when 594630 is divided by 1348? 162 Calculate the remainder when 13716565 is divided by 2195. 10 Calculate the remainder when 288247 is divided by 402. 13 What is the remainder when 2152838 is divided by 15488? 6 Calculate the remainder when 46758733 is divided by 724. 641 Calculate the remainder when 4345010 is divided by 11141. 20 Calculate the remainder when 6217 is divided by 2763. 691 Calculate the remainder when 426801 is divided by 610. 411 Calculate the remainder when 141119 is divided by 4259. 572 What is the remainder when 477471 is divided by 1396? 39 What is the remainder when 633385 is divided by 211116? 37 What is the remainder when 17766260 is divided by 43? 36 What is the remainder when 1474360 is divided by 2028? 4 Calculate the remainder when 3413739 is divided by 410. 79 Calculate the remainder when 231085 is divided by 355. 335 Calculate the remainder when 5975407 is divided by 9748. 9631 Calculate the remainder when 63973789 is divided by 56. 5 What is the remainder when 73949665 is divided by 6020? 6005 Calculate the remainder when 1396314 is divided by 79. 68 What is the remainder when 3048616009 is divided by 5239? 5236 What is the remainder when 76159 is divided by 38040? 79 What is the remainder when 220446 is divided by 1295? 296 What is the remainder when 56747328 is divided by 94? 92 Calculate the remainder when 243623845 is divided by 11. 3 Calculate the remainder when 551245 is divided by 628. 489 Calculate the remainder when 14722 is divided by 6298. 2126 Calculate the remainder when 193413 is divided by 1459. 825 What is the remainder when 142770 is divided by 326? 308 What is the remainder when 4201198 is divided by 1400382? 52 What is the remainder when 1274451 is divided by 115858? 13 Calculate the remainder when 132371 is divided by 44079. 134 What is the remainder when 1076445 is divided by 34722? 63 What is the remainder when 2072365 is divided by 1284? 1273 Calculate the remainder when 2810088 is divided by 936696. 0 Calculate the remainder when 341791 is divided by 170380. 1031 What is the remainder when 49198 is divided by 171? 121 Calculate the remainder when 24911 is divided by 4961. 106 What is the remainder when 91364876 is divided by 38? 32 What is the remainder when 233642 is divided by 15574? 32 Calculate the remainder when 5537387 is divided by 791052. 23 What is the remainder when 152025215 is divided by 672? 671 Calculate the remainder when 259253 is divided by 185. 68 What is the remainder when 3202682 is divided by 1829? 103 What is the remainder when 894600 is divided by 22938? 18 What is the remainder when 371586798 is divided by 152? 150 What is the remainder when 38790 is divided by 947? 910 Calculate the remainder when 1286802 is divided by 20. 2 Calculate the remainder when 331530 is divided by 1008. 906 Calculate the remainder when 18706947 is divided by 10. 7 What is the remainder when 16509637 is divided by 1313? 1288 What is the remainder when 8526398 is divided by 1032? 14 Calculate the remainder when 368867 is divided by 578. 103 What is the remainder when 4742096 is divided by 14819? 16 Calculate the remainder when 24102242 is divided by 4. 2 Calculate the remainder when 4850630 is divided by 922. 910 What is the remainder when 1142469 is divided by 829? 107 Calculate the remainder when 7515096 is divided by 39. 30 Calculate the remainder when 640002 is divided by 213333. 3 What is the remainder when 19119 is divided by 9382? 355 Calculate the remainder when 12689 is divided by 11205. 1484 Calculate the remainder when 706106 is divided by 6599. 13 What is the remainder when 564032 is divided by 112800? 32 What is the remainder when 76186 is divided by 182? 110 What is the remainder when 482980948 is divided by 160993647? 7 What is the remainder when 39039 is divided by 9728? 127 Calculate the remainder when 1034156 is divided by 79516. 448 What is the remainder when 11165464 is divided by 413535? 19 What is the remainder when 2657345 is divided by 65? 15 What is the remainder when 14612680 is divided by 14612661? 19 Calculate the remainder when 83058 is divided by 6305. 1093 What is the remainder when 357355 is divided by 2786? 747 Calculate the remainder when 3368930 is divided by 31. 5 What is the remainder when 225165 is divided by 866? 5 Calculate the remainder when 31548 is divided by 2081. 333 What is the remainder when 499623 is divided by 165841? 2100 Calculate the remainder when 9563 is divided by 92. 87 Calculate the remainder when 31816401 is divided by 11416. 9 What is the remainder when 1881372 is divided by 4209? 4158 Calculate the remainder when 48510 is divided by 564. 6 Calculate the remainder when 369716 is divided by 102. 68 Calculate the remainder when 56451211 is divided by 91. 89 What is the remainder when 50875962 is divided by 1199? 1193 What is the remainder when 210719 is divided by 597? 575 What is the remainder when 529155 is divided by 335? 190 Calculate the remainder when 182637 is divided by 182. 91 What is the remainder when 10604033 is divided by 41? 39 Calculate the remainder when 1302248122 is divided by 31. 29 Calculate the remainder when 181243618 is divided by 1797. 1792 Calculate the remainder when 3868319 is divided by 1532. 19 What is the remainder when 2792803 is divided by 71610? 13 What is the remainder when 46743011 is divided by 577074? 17 Calculate the remainder when 3302512 is divided by 2423. 2386 What is the remainder when 559067 is divided by 1799? 1377 What is the remainder when 6247024 is divided by 230? 224 What is the remainder when 25955696 is divided by 1446? 1442 What is the remainder when 138473403 is divided by 1617? 1608 Calculate the remainder when 47770 is divided by 1837. 8 Calculate the remainder when 61036221 is divided by 96. 93 Calculate the remainder when 1271582 is divided by 3900. 182 Calculate the remainder when 830497 is divided by 5034. 4921 What is the remainder when 3819623 is divided by 347169? 764 Calculate the remainder when 716881680 is divided by 7. 4 Calculate the remainder when 995174 is divided by 199028. 34 Calculate the remainder when 141508 is divided by 10105. 38 What is the remainder when 825397849 is divided by 370? 369 Calculate the remainder when 1550403 is divided by 2016. 99 Calculate the remainder when 18563 is divided by 7867. 2829 Calculate the remainder when 226696 is divided by 5812. 28 What is the remainder when 812197 is divided by 203046? 13 Ca
{ "pile_set_name": "DM Mathematics" }
*l**4 + 0*l**3. Differentiate a(z) wrt z. -4*z**3 Let y(h) be the first derivative of -h**8/336 + h**4/24 + h**2/2 - 1. Let g(w) be the second derivative of y(w). Find the second derivative of g(t) wrt t. -20*t**3 Let d(u) = u + 4. Let k be d(5). Let t(n) = -2*n - 3. Let c(o) = -o**2 + 9*o + 13. Let w(i) = k*t(i) + 2*c(i). Find the first derivative of w(f) wrt f. -4*f Find the second derivative of 12*d - 9*d**5 - 2*d**4 - 2*d**4 + 4*d**4 wrt d. -180*d**3 Let y(v) = 7*v + 1. Let x(l) be the second derivative of 1/2*l**2 + 0 + 4/3*l**3 - 3*l. Let w(c) = 5*x(c) - 6*y(c). Find the first derivative of w(t) wrt t. -2 Let b(s) = -34*s**3 + 52*s**2 + 5*s. Let r(q) = 17*q**3 - 26*q**2 - 3*q. Let m(z) = -3*b(z) - 5*r(z). What is the third derivative of m(n) wrt n? 102 Let s be 3 - 1/1*1. Find the third derivative of 4*p**3 - 2*p**2 - p**3 + 3*p**s + 5*p**2 wrt p. 18 Differentiate -110 - 2*t**4 + 50 + 41 - 6*t**4 with respect to t. -32*t**3 Suppose -2*t - 24 = 2*z + 4, -12 = 4*t. Let k = -6 - z. What is the second derivative of -2*j - 4*j**k + j**5 + 5*j wrt j? -60*j**3 Let b(t) be the third derivative of -t**7/14 - 11*t**3/6 - 15*t**2. Differentiate b(k) with respect to k. -60*k**3 Find the third derivative of -5*x**2 + x**2 + x**6 - 6*x**6 wrt x. -600*x**3 Let q(z) be the third derivative of 11*z**7/70 + 3*z**5/20 + z**3/3 - 47*z**2 + 2. What is the third derivative of q(j) wrt j? 792*j Let m(v) be the first derivative of v**4/2 + 10*v**3/3 - 2. What is the third derivative of m(z) wrt z? 12 Find the third derivative of -7*t**2 - 11 + 11 + 3*t**5 wrt t. 180*t**2 Let g(a) be the third derivative of 13*a**8/168 - a**5/20 - 18*a**2. What is the third derivative of g(y) wrt y? 1560*y**2 Suppose -5*u + 21 = -2*o, -o - 8 = 3*u - 5*u. Let w(m) be the first derivative of -2/3*m**3 - 3 + 0*m**2 - o*m. Find the first derivative of w(b) wrt b. -4*b Suppose 0 = 2*q - 2, -7 + 0 = -o - q. Find the first derivative of j**3 + j**3 + o - 3 wrt j. 6*j**2 Let h(q) = 9*q**2 + 19. Let i(b) = 13*b**2 + 28. Let j(k) = 7*h(k) - 5*i(k). Differentiate j(n) wrt n. -4*n Suppose 0 = k + k - d + 10, -3*k + 4*d = 20. Let i = k + 6. Differentiate 0 + 5*n**4 + 5 - 1 - i*n**4 with respect to n. 12*n**3 Suppose 0*h = -4*h + 12. Let t(j) = -h*j + 6*j**2 + 7*j + j**2. Let v(g) = -g**2 - g. Let k(z) = t(z) + 6*v(z). What is the second derivative of k(r) wrt r? 2 Find the third derivative of -4*j**5 - 19*j**2 + 11*j**2 - 3*j**5 wrt j. -420*j**2 Let g = 2 + 2. Suppose -9 = -g*o + o. Find the second derivative of 7*d**2 - 7*d**2 - 3*d**5 + o*d wrt d. -60*d**3 Let k(o) = o**3 + o**2 - o. Let w(i) = 8*i**3 + 7*i**2 - 9*i. Let j(t) = 18*k(t) - 2*w(t). What is the third derivative of j(c) wrt c? 12 Let y(d) be the first derivative of -d**9/756 - d**6/40 + 8*d**3/3 + 3. Let n(x) be the third derivative of y(x). What is the third derivative of n(k) wrt k? -240*k**2 What is the second derivative of -352*p + 360*p + 4*p**2 + 11*p**2 wrt p? 30 Let o(l) be the first derivative of 1/3*l**3 + 3/5*l**5 + 1 + 0*l**2 + 0*l + 0*l**4. Find the third derivative of o(c) wrt c. 72*c What is the third derivative of 62*g**2 - 2*g**6 + 7*g**6 - 52*g**2 wrt g? 600*g**3 Let o(c) = c**3 + 6*c**2 - 7*c + 3. Let t be o(-7). What is the derivative of -q**t + 5*q**3 + 2 - 12*q**3 - 13 wrt q? -24*q**2 Let l be ((-4)/3)/((-8)/12). Suppose -q + l*v = -3, 7*v - 2*v + 3 = -2*q. Differentiate -q + 5*h + 2 - 3*h wrt h. 2 Let h(j) be the third derivative of -j**10/75600 + j**6/240 + j**5/20 - 2*j**2. Let n(i) be the third derivative of h(i). Differentiate n(o) with respect to o. -8*o**3 Let h = 6 + 6. Let w be (-4)/10 + h/5. Differentiate -5*l**w + 2*l**2 + 1 + 2*l**2 with respect to l. -2*l Let w(j) = 24*j + 57. Let u(c) = 3*c + 7. Let g(n) = 33*u(n) - 4*w(n). Differentiate g(p) wrt p. 3 Let x = 3 + 1. What is the first derivative of -2 + 0 + 0 + x*s - 2*s wrt s? 2 Let m be (-60)/(-14) - (-18)/(-63). Find the first derivative of -1 + 2 - v**4 + 0*v**4 + m*v**4 wrt v. 12*v**3 Suppose 0 = 3*o - 3*n, -3*o + n + 7 = 1. What is the second derivative of 3*c - 15*c**3 + 0*c + 22*c**o wrt c? 42*c Let z(n) be the third derivative of -n**8/112 - n**4/2 + 4*n**2. Find the second derivative of z(h) wrt h. -60*h**3 Let m(z) be the first derivative of 32*z**3/3 + 63*z + 2. What is the derivative of m(l) wrt l? 64*l Let t(q) be the first derivative of q**5/4 - q**3/6 - 5*q + 2. Let m(d) be the first derivative of t(d). Find the second derivative of m(s) wrt s. 30*s Let t be (-4 - -2)*2 + 4. Let u(n) be the second derivative of t*n**3 + 0 + 2*n**2 + 0*n**4 - 3*n + 1/20*n**5. Find the first derivative of u(h) wrt h. 3*h**2 Let r be (5/3)/((-1)/(-6)). Suppose 10*w - r = 5*w. What is the third derivative of 5*n**2 + w*n**4 - n**2 - 3*n**2 wrt n? 48*n Let r = -55 + 57. Let m(z) be the first derivative of 0*z - z**r + 1/3*z**3 - 2. Find the second derivative of m(v) wrt v. 2 Find the second derivative of 0 + 2*c**5 + 4*c**5 - 10*c + 0 wrt c. 120*c**3 Suppose 4*y - 4*f = 68, -2*y + 0*f + 5*f + 31 = 0. Find the third derivative of -2*o**4 - o**5 - y*o**2 + 2*o**4 + 20*o**2 wrt o. -60*o**2 Let h(a) be the first derivative of -8/3*a**3 + a**4 + 0*a + 0*a**2 - 4. Find the third derivative of h(n) wrt n. 24 Suppose -6*a + 2*a = -12. What is the third derivative of -a*q**2 + 2*q**2 + 4*q**3 - 4*q**3 + 2*q**6 wrt q? 240*q**3 Let m(s) be the third derivative of -13*s**6/40 + 13*s**5/15 - 17*s**2. Find the third derivative of m(w) wrt w. -234 Let s(w) be the second derivative of w**6/10 + 9*w**2/2 - 3*w. Find the first derivative of s(r) wrt r. 12*r**3 Suppose 4*o + 3 = 5*o. Let c(m) be the first derivative of 1/2*m**2 - 1/3*m**6 + 0*m + 0*m**5 + 0*m**4 + 0*m**o - 2. Find the second derivative of c(v) wrt v. -40*v**3 Find the first derivative of 15*p**2 - 7*p + 7*p + 0*p - 7 wrt p. 30*p Suppose h - 6*h = -40. Find the second derivative of 2*k - h*k**4 - 2*k - 2*k wrt k. -96*k**2 Suppose 0 = -q + 4*q - 9. Let z(r) be the second derivative of -1/2*r**2 + 2*r + 0 + 0*r**5 - 1/15*r**6 + 0*r**4 + 0*r**q. What is the derivative of z(k) wrt k? -8*k**3 What is the third derivative of 9*v**2 + 15*v**4 - 3*v**4 + 15*v**2 + v**4 wrt v? 312*v Let f(m) be the first derivative of 43*m**5/5 + 15*m**2/2 + 35. What is the second derivative of f(v) wrt v? 516*v**2 Let m(s) = -s**2 + s. Let p(b) = -b**3 - 5*b**2 + 6*b. Let t be 1/5 + 12/15. Let l(f) = t*p(f) - 6*m(f). What is the third derivative of l(j) wrt j? -6 Let c(h) be the second derivative of h**5/10 - 2*h**4/3 - 25*h. Find the third derivative of c(d) wrt d. 12 What is the second derivative of 75*p - 152*p - 34*p**3 + 73*p wrt p? -204*p What is the second derivative of 27*b**2 - 2 + 4 - 2 + 22*b wrt b? 54 Suppose 0*k - 4*k + 16 = 0. Suppose 0 = 2*c - k. What is the second derivative of 0*u - 4*u**3 + 0*u**2 + 0*u**2 + c*u wrt u? -24*u Let a(n) = n**3 - n**2 + n + 1. Let o be a(0). Differentiate -o + 1 + 3*b**3 - 1 with respect to b. 9*b**2 Let k(i) = 5*i**5 + 3*i**4 - 3*i**3 - i. Let j(n) = 19*n**5 + 11*n**4 - 11*n**3 - 3*n. Let o(q) = 6*j(q) - 22*k(q). Find the second derivative of o(a) wrt a. 80*a**3 Let o(v) = -v - v - v**2 + 6*v - 1. Let s be o(3). Find the first derivative of s*f**3 + 5 - 3 + 0*f**3 wrt f. 6*f**2 Let f be 5/(10/(-4)) + 5. Find the third derivative of -j + f*j + j**3 + j**2 - 2*j wrt j. 6 Let a(i) = -18*i - 16. Let p(n) = n. Let w(j) = a(j) + 4*p(j). What is the derivative of w(r) wrt r? -14 Let o(y) be the first derivative of -y**4/4 + 3*y**3 - 41*y + 37. Differentiate o(s) with respect to s. -3*s**2 + 18*s Let a(w) = -w**4 + w**3 + w**2 + w. Let o(q) = 6*q**4 + 4*q**3 + 12*q**2 + 4*q. Let t(i) = 4*a(i) - o(i). What is the third derivative of t(d) wrt d? -240*d Suppose 0 = 2*d - 3*d - 1. Let q be 4/(-2)*-1 - d. What is the derivative of 8*a**4 - 4*a**4 - 3*a**q + 2 + 3*a**3 wrt a? 16*a**3 Suppose 0 = l + 2*w + 4 - 3, 2*w + 13 = -5*l. Let y = 6 + l. What is the second derivative of x + x - x + y*x**4 wrt x? 36*x**2 Let n(z) = z**3 - 5*z**2 + 6*z - 4. Let h be n(4). Find the third derivative of -33 - r**2 + 33 + 2*r**h wrt r. 48*r Let q(r) be the second derivative of 0 + 0*r**3 + 7/2*r**2 + 5*r + 0*r**4 - 7/20*r**5. What is the first derivative of q(g) wrt g? -21*g**2 Let s(r) = -r**2 - r - 4.
{ "pile_set_name": "DM Mathematics" }
4*o - 27 = 0, -h*o = b - 3*b - 16 for b. -5 Let v = 10 - 10. Suppose -i + 10 = -v*i. Solve -n + 5*c + 35 = 4*n, -i = 5*n + 4*c for n. 2 Let r be 6/(39/(-24) - -2). Suppose -2*q + 18 = 4*s, 2*q = -6 + r. Suppose s*u - 12 = 3*m, -2*m = -5*u - 0*m + 52. Solve 3*a - 27 = -4*g - u, 10 = 2*a for g. 0 Suppose 0 = r - j - 5 + 2, j = 1. Suppose -2*o = -2*c + 8 + r, 21 = 4*c - o. Solve z + 4*h + c = 0, 0*z + 3*h = -2*z for z. 3 Suppose 0*g - 5*g + 3 = 2*n, 4*n = 3*g + 19. Solve 3*c = -4*r + 8, -1 = r + n*c - 3 for r. 2 Let n = 10 - 5. Let m be (2 - 0)*(-7)/2. Let w = n - m. Solve -f = 3*z - w, -5 = 3*z - 14 for f. 3 Let s(l) = -9*l**2 + 72*l + 2. Let z be s(8). Let o be 2*(3 + 2*-1). Solve -t - 4 = z*f, 3*f = o*t - 4*t - 4 for f. -4 Suppose 8 = p + p. Suppose n = -p*n. Solve n = 4*b - 5*z - 1, b - 2*z = -7*z - 6 for b. -1 Suppose -2*c - 7 - 3 = -4*a, -2*a + 6 = -2*c. Let n(h) = -11*h + 2. Let m be n(a). Let j = -10 - m. Solve 3*s = -5*l - 3, -4*s + l + j + 9 = 0 for s. 4 Let h be (5*-4)/(-9 - -8). Solve k - 2*t = -k + 14, 0 = -5*t - h for k. 3 Suppose 0 = -3*c - c - x + 25, -2*x = 3*c - 25. Suppose -28 + 8 = -c*f. Solve -t - 6 - f = -2*g, -4*g = -12 for t. -4 Suppose m = 6*m - 25. Let q be 3/6*(2 + -20). Let u = -4 - q. Solve -w - 6 = m*z, z - 5*z = u*w + 9 for w. -1 Let x = -5 + 7. Suppose -13 = 2*z + 7. Let c be (2 - z/(-2)) + 3. Solve -4*b - 2*u = c, -6*b - 9 = -b - x*u for b. -1 Suppose 4*n + 16 = -3*k, -20 = 5*n - 7*k + 3*k. Let p be (n/6)/(1/(-30)). Suppose 5*i - p = -0. Solve -m - 17 = -0*m + i*q, -8 = m + q for m. -5 Suppose g = -4 + 9. Suppose 17 = n - 7*x + 4*x, -15 = 5*n + g*x. Solve 17 = -3*a - j, 0*a - n*j - 6 = -a for a. -4 Let t be (0 + 12/30)*(28 + 2). Solve r + 8 = n, r - n + 5*n = t for r. -4 Suppose -3*s + 75 = 3*g, -6*g + 100 = -2*g + 2*s. Solve -3*h = 2*h - 3*c + 40, c = 4*h + g for h. -5 Suppose 0 = -5*f, -4*f + 55 = 5*d - 0*f. Suppose 2*a = w - d, -5*a = -3*w + w + 26. Suppose -w = -5*v + 12. Solve 2*q = 3*t - v*q + 20, 4*t = q - 4 for t. 0 Suppose 0 = -15*z + 352 + 143. Solve -5*c + 3*w = 27, 0 = 3*c - 4*w - 8 + z for c. -3 Suppose 4*m - 3*m - 37 = -4*r, -4*r + 3*m = -17. Solve 5*x + 5 = 3*f - r*f, x - 3 = 3*f for x. 0 Let k be (-1)/((-1)/(3/(-3))). Let x(q) = -7*q - 1. Let i be x(k). Suppose -4*b = -b - i. Solve -j + b = -3, -3*r - 22 = -2*j for r. -4 Let k be -4*4/(-6)*3 + -4. Solve -k*g = 2*f + 8, 7 = -5*g - 2*f - 2*f for g. -3 Suppose -5*t = 3*o - 0 - 10, 2*o - 3*t = 13. Solve -5*n + o*d = 10, -5*d = -n - 10 + 4 for n. -1 Suppose 44 = 4*i - 4*h, -4 = i - 4*h - 15. Solve 4*b - 2*b + i = -y, 4*y + 14 = -2*b for b. -5 Let z = -1 - -5. Suppose 0 = z*n + 1 - 9. Solve 0 = n*v - 10, 3*t + 2*v - 20 = -4 for t. 2 Let i be (-115)/3 - (-2)/6. Let r = 24 + -47. Let w = r - i. Solve 0 = -t, 2*t = 3*o - 0*t - w for o. 5 Let h = 5 - 0. Suppose h = 2*z + 21. Let t be (-2)/(-8) + 2/z. Solve -3*n - 7 = -t*q - 5*q, 3*q + 15 = -3*n for q. -1 Let u = -20 - -23. Let b be 8/12*(u - 0). Solve b*l - 2*d = 6, 5*l - d + 4*d - 31 = 0 for l. 5 Suppose 5*d = 5*b - b - 12, 4*d - b = -3. Solve -5*c + 2*c + 2*a + 15 = d, -3*a + 25 = 5*c for c. 5 Let z be 30/(-9) - (-4)/3. Let y = z + 4. Solve -y*w = 0, 0 = 4*v - v - 3*w for v. 0 Let g = -46 + 52. Let c = 6 + -4. Solve t - 5 = -c*r, -3*t = -g*t - 3*r for t. -5 Suppose -r = -2*w - w + 2, 2*w + 16 = 5*r. Solve 2 = -h, r*a = 2*a + 5*h + 14 for a. 2 Suppose -4*b = -2*g - 6, 2*g = -3*b - 2*g + 21. Suppose -5*w - 9 = -b*u, -w = 5*u - 2*w - 15. Solve 4*i - o - u = 2*i, 2*i - 3*o - 9 = 0 for i. 0 Let d = -17 + 19. Solve 0 = p - 5*p - i - 10, 3*p - d*i = -2 for p. -2 Let h(m) = -m**2 + 10*m - 5. Let y be h(9). Suppose 0 = -y*p, -3*g = -2*g + p. Solve -2*t - f + 4 = g, t + 1 + 7 = 2*f for t. 0 Let s = 0 + 3. Solve 3*r + t + 9 = r, s*t - 5 = 2*r for r. -4 Let j(k) = -k**2 + 4*k + 8. Let c be j(5). Solve 2*v - 14 = 4*r, -2*r + 2 - 19 = -c*v for r. -1 Let s(k) = -k**3 + k**2 + 4 + k - 5 + 3 + 0*k**2. Let i be s(2). Suppose i = -0*d - 5*d + 20. Solve 4*y - 5*g = 38 - 3, 5*y - 13 = -d*g for y. 5 Let f(o) = -o**3 + 7*o**2 + 8*o + 2. Let q be f(8). Solve 0 = c - 5*v - 1, 3*c - c + 5*v - q = 0 for c. 1 Let k(t) = t - 3. Let p be k(5). Solve 21 = -3*s + 3*w, s = p*s - 3*w + 11 for s. -5 Suppose -25 = -9*w + 4*w. Solve -1 = w*c - 2*v + 6, 4*c = v - 5 for c. -1 Let y be (1/(-5))/((8/15)/(-8)). Solve 2*j - 2*k - 2 = 0, 2*k - y*k = 2*j + 4 for j. -1 Let v = -2 + -5. Suppose -8*p = -6*p + 14. Let s = p - v. Solve -2*d - 3*i - 4 = s, -d - 8 = -3*d + 3*i for d. 1 Suppose 0 = t + 3*t - 12. Suppose 0 = -t*o + 4 - 1. Solve -j = 5*v + 11, -j - o + 8 = -4*v for v. -2 Let q = 4 - 0. Suppose 0 = -q*s + m + 44, -m = 5*s - 4*m - 55. Solve -3*u = -5*x + s - 5, -u + x = 2 for u. -2 Let x be 62/22 + 10/55. Solve 0 = x*c - 3*p + 9, 3*c + p - 1 + 6 = 0 for c. -2 Suppose -3*k = k - 3*w + 41, 2*w = -2*k - 24. Let b = k - -25. Let l be 46/b + 6/(-21). Solve 3*n = -2*i + 3 - 4, l*i = -4*n - 3 for i. -5 Suppose 8*s = 4*s. Solve s*x = 3*x - c + 5, 4*c + 22 = -2*x for x. -3 Let i be -1 + (4 - (2 + -3)). Suppose x + i = -1. Let q = x - -12. Solve 3*y + 2*y + q = 2*b, -2*b + 2*y - 2 = 0 for b. -4 Let t = 12 - 8. Solve y = -t*y + a - 14, 4*y = -3*a + 4 for y. -2 Let t be (2/(-6) + 1)/(15/135). Solve -3*o - 2*r = -3*r - 4, -2*o = r - t for o. 2 Let f = -6 + 6. Solve -2*p + 0*z + z = -12, f = -3*p - 3*z for p. 4 Suppose b = -0*f + 2*f + 4, -4*b + 16 = -3*f. Solve 4*q - 4*j - 11 - 9 = f, 2*j - 15 = -3*q for q. 5 Let y be (0 - 0)*(4 - 5). Solve -3*l + a = 4, y = 4*l - 3*a - a for l. -2 Let y = -10 + 10. Solve 5*t - 5*b = y, -5*t - b + 11 + 19 = 0 for t. 5 Let n = 16 + -4. Let c(f) = f**2 - 6*f + 5. Let g be c(6). Suppose g*t = 2 + 8. Solve -15 - 4 = 4*d + u, t*d + n = 2*u for d. -5 Suppose -j = -5*o + 2*j + 12, 4*o - 7 = 5*j. Let f be -1*2*o/(-2). Solve 0 = i - w - w + 11, -w + 18 = -f*i for i. -5 Let f be 1/(-3) + 10/3. Let z(t) = -5*t + 42. Let a be z(8). Solve 4*h - 12 = -v - f, 3*v - 13 = a*h for h. 1 Let v be 54/13 + 2/(-13). Suppose v*z - 18 = 2. Solve -3*b + 2*b + 4 = 3*h, 2*b = -5*h + z for b. -5 Let g be -3 + 1 + 0 + 1. Let n = 2 - g. Suppose -n*p = -8 - 1. Solve 0*b - 5*b + 9 = -3*y, -2*b = y + p for b. 0 Let k = 18 + -15. Suppose -3*p + 59 = 4*v + 25, 0 = -3*p + k*v + 27. Solve -2*m + 0*m - p = 4*q, -3*q - 35 = -4*m for m. 5 Suppose 10*r = 5*r + 25. Solve 5*j + 5 = -4*m, r*j = 3*j + 2*m + 16 for j. 3 Suppose 5 + 26 = 3*c + 5*v, -c = 2*v - 12. Suppose -44 = -3*y + 22. Solve y = -h + 5*x, -c*h - 4*x = -3 - 9 for h. -2 Let d = -6 - -8. Suppose -4 = d*s - s. Let f be (-94)/(-4) - s/(-8). Solve 0 = -5*l + 4*a + f, -6*a = -2*a + 8 for l. 3 Let u = 141 + -137. Solve -2*l = 3*l - 3*j - 12, u*l + 2*j + 8 = 0 for l. 0 Suppose a = -3*a. Suppose -4*s - 3*m = 19, a = -2*s - 3*m - 6 + 1. Let c be (s + 10)*5/3. Solve 2*k - 14 = c*n, -11 = 2*n + 4*k - 3*k for n. -4 Let u = -11 + 27. Let z = -17 - -37. Suppose 5*l + z = 0, o - 4*l - l - 25 = 0. Solve -o*t + u - 1 = -a, t - 3 = 0 for a. 0 Let m = -10 - -10. Suppose 2 = c - m. Let b = -11 + 16. Solve 4*s - 18 = -0*s + c*k, -21 = -2*s + b*k for s. 3 Let x be 4/8*-1*-6. Solve -4*g - x*f = -5, 3*f - 5 = 8*f for g. 2 Let u be (-2 - -1)/((-3)/6). Solve -z + r = -2, -u*z = -4*r - 2 - 10 for z. -2 Let l = -18 - -20. Solve 5*k + 8 = -2*t + 26, -l*t = -5*k + 22 for t. -1 Suppose 8 = 2*j - 3*j. Let l = j + 10. Solve d + 20 = -3*c, 0 = l*d + c + 14 + 1 for d. -5 Suppose 0 - 18 = -6*o. Solve -2*w = 5*k - 18, o*w + 0*k - 4*k - 4 = 0 for w. 4 Suppose 0 = -a - 4 + 7. Suppose -3*o - o + 13 = a*w, 8 = w + 5*o. Suppose w*t - 4 = -t. Solve -2*x + 8 = 4*b, x - 3 = 4*b + t for b. 0 Let p be 0/((-5 + (4 - 2))/1). Solve 2*r - 2*v + 3 - 9 = 0, p = 2*v - 2 for r. 4 Let t = 33 + -16. Suppose -q + 3*c = -t, q - 2*c = -2 + 14. Suppose 4*i + q - 10 = 0. Solve 4*k - x + 18 = -0*k, 3*k + i*x + 19 = 0 for k. -5 Let g = 117 - 113. Solve -5*q + 5*x + 25 = 0, 0 = 4*q + q + 2*x - g for q. 2 Let w be ((-16)/6)/((-10)/15). Solve 24 = -4*g - w*b, g + 2 = 6*g - 3*b for g. -2 Let a(r) = r**2 - 8*r + 10. Let u = 10 - 3. Let p be a(u). Solve -v = v + f + 4, -8 = 2*v + p*f for v. -1 Suppose -5*w + 5 + 0 = t, -w - 2*t + 10 = 0. Solve -5*x - 13 = 3*g, w = x - 0*x + 2 for g. -1 Let g(c) = -5*c + 2. Let a be g(2). Let j = a + 12. Solve 3 - 4 = j*v - l, v - 2 = -
{ "pile_set_name": "DM Mathematics" }
t h be g(-3). Calculate the remainder when 12 is divided by (-14)/(-4) - h/(-2). 0 Let r = -24 + 37. Let a = -1 + r. Calculate the remainder when 69 is divided by a. 9 What is the remainder when (31/4)/(4/32) is divided by 5? 2 Let j = 146 - 132. Calculate the remainder when 698 is divided by j. 12 Suppose 0 = -g - 30*g + 12679. Calculate the remainder when g is divided by 10. 9 Let c(b) = b**3 + 8*b**2 - 36*b - 98. What is the remainder when c(-8) is divided by 49? 43 Suppose 4*k - 230 = -5*l, -7*l + 10 = -2*l. What is the remainder when k is divided by 24? 7 Suppose 24*d - 438 = -49*d. Suppose 0 = -3*z + 2 + 13. Suppose -3*s - z*w + 43 = 0, s + w = -3*s + 63. Calculate the remainder when s is divided by d. 4 Suppose -16*g = -17*g + 4*d + 386, 2018 = 5*g + 2*d. Calculate the remainder when g is divided by 5. 2 Let s(q) = q**3 - 12*q**2 - 27*q - 11. Let w be s(14). Suppose 0 = -w*i - 4*x + 76, 3*i + 24 = 4*i + 2*x. Calculate the remainder when 81 is divided by i. 25 Suppose -69 = 5*l - 209. Suppose -3*d = -5*d + 10. Let a = 1 + d. Calculate the remainder when l is divided by a. 4 Suppose 2*h - 3*o = -2*h - 287, -3*o = 5*h + 379. Let r = h - -88. Calculate the remainder when r is divided by 4. 2 Let b be (-40)/6 - (-6)/(-18). Let m(k) = k**3 + 8*k**2 + 7*k + 8. What is the remainder when 22 is divided by m(b)? 6 Let j(h) = -h**2 - 14*h - 22. Let u be j(-9). Let o = 4 + u. What is the remainder when 107 is divided by o? 26 Let r(p) = -2*p**3 - 5*p**2 - 2*p + 2. Let v = 85 - 82. Suppose -196 = v*f - 7*f. What is the remainder when f is divided by r(-3)? 15 Let j(p) = 14*p + 11. Let h = -5 + 7. Let q(m) = 7*m + 6. Let u(s) = h*j(s) - 5*q(s). What is the remainder when u(-5) is divided by 10? 7 Let b(q) = 2*q - 6. Let p be -6*3/(-9) + 3. Let w be b(p). Calculate the remainder when (-1485)/(-20) - 1/w is divided by 19. 17 Suppose 2*w + 3*q - 41 = 0, 5*w = -3*q - 2*q + 90. Suppose 0 = 3*p + 4*z, -w = 4*p - z + 2*z. Calculate the remainder when 6 is divided by 0 + 0 - (p - -1). 0 Calculate the remainder when 178 is divided by ((-32)/6)/((-68)/306). 10 Suppose 34*r - 46*r + 540 = 0. What is the remainder when 105 is divided by r? 15 Let u be ((-65)/91)/(1/(-7)). Suppose 10 = u*z, 2*z = 5*b - z - 89. What is the remainder when 35 is divided by b? 16 What is the remainder when 3363 is divided by 3072/60 + 9/(-45)? 48 Let k(l) = -l**3 - 5*l**2 + 5*l + 10. Let p be k(-6). Suppose 167 = 17*y - p*y. Calculate the remainder when y is divided by 34. 31 Let u = -158 - -230. Let n be (-3)/5 + u/20. Suppose -n*i + 4*v + 0*v + 63 = 0, -44 = -2*i + 2*v. What is the remainder when i is divided by 9? 7 Calculate the remainder when 223 is divided by (-93)/(-3) - (-3 - -9). 23 Suppose 0 = 3*v - 2*v - 19. Let q = 6 + v. Suppose q = c + 3. Calculate the remainder when 86 is divided by c. 20 Let i = 1748 + -1704. What is the remainder when 100 is divided by i? 12 Let w = 64 + -59. Suppose -4*z + 111 = -0*k + 5*k, -w*z + 4*k + 149 = 0. Calculate the remainder when 110 is divided by z. 23 Let b be (-5)/(30/(-108))*(-2)/(-4). Suppose -3*l = 6*d - b*d - 6, -5*l = 4*d - 46. Calculate the remainder when 10 is divided by l. 4 Suppose 5 = q, -4*d + 0*d + 467 = 3*q. Let k be (-60)/(-40)*296/6. Let i = -45 + k. What is the remainder when d is divided by i? 26 Suppose 157*f - 151*f - 156 = 0. Suppose o - 2*g = g + 12, -3*o + 60 = -g. What is the remainder when f is divided by o? 5 Let i(h) = -43*h - 113. Calculate the remainder when i(-6) is divided by 50. 45 Let a(d) = -d**3 + 4*d**2 + 5*d + 4. Let q be a(5). Let z be (-107)/(-2) + q/8. Let i = -23 + z. What is the remainder when i is divided by 11? 9 Let w = -46 - -81. Suppose 0 = -j + 14 - 1. Calculate the remainder when w is divided by j. 9 Let j(q) = -q**3 + 18*q**2 - 14*q - 42. Calculate the remainder when j(16) is divided by 25. 21 Let c = 252 + -172. Let g = 25 - -16. Calculate the remainder when g is divided by ((-22)/(-10))/(16/c). 8 Let i(h) = -h**2 + 6*h. Let w be i(6). Let u = w - -8. Suppose 60*t + 6*t = 330. What is the remainder when u is divided by t? 3 Let a(b) = 44*b**2 + b + 1. Let q be a(-1). Suppose w = 2*p + 21, q = 3*w - p - 29. Calculate the remainder when 121 is divided by w. 21 Let p = 727 - 692. Calculate the remainder when 591 is divided by p. 31 Let j = 15 + -20. Let q(u) = -4*u**2 - 3*u. Let w be q(j). Let x = -51 - w. What is the remainder when x is divided by 9? 7 Let r(b) = b**2 - 4*b + 2. Let x be r(3). Calculate the remainder when (x + 34)*(-4)/(-12) is divided by (2 + -3)*4*(-3 - -2). 3 Suppose 6*m - 35 = -m. Suppose 169 = m*t - 1. What is the remainder when t is divided by 18? 16 Suppose 279 + 135 = 23*o. Calculate the remainder when -1 - (70/(-1))/2 is divided by o. 16 Suppose 466 = 11*r - 656. Calculate the remainder when r is divided by 23. 10 Suppose 4*o + 4*c = -1340, 2*o - 2*c + 326 = o. Let b = 499 + o. What is the remainder when b is divided by 21? 20 Suppose 2*b - 5*u - 58 = 0, -4*b = -b - 2*u - 87. Suppose -87*t + 86*t + 85 = 0. What is the remainder when t is divided by b? 27 Suppose 0 = s - 2*u, -4*s + 8 = -3*u - 2. Suppose 5*z - s*a - 41 = 0, 5*z - a + 3*a = 17. Calculate the remainder when 11 is divided by z. 1 Let g be 16/(-4) + (-10)/1. Let b be (g - 6)*1/(-2). Suppose -o = -2*o + 3*m - b, 0 = 2*o + 2*m - 20. Calculate the remainder when 13 is divided by o. 3 Let y be 25/2*(-264)/(-15). Suppose 5*o = -4*q + y, -2*o - 3*o = -5*q + 230. Calculate the remainder when q is divided by 17. 16 Calculate the remainder when (4/8)/(((-261)/378)/(-29)) is divided by 9. 3 Let s(b) = -b**2 + 17*b + 78. Calculate the remainder when 65 is divided by s(19). 25 Calculate the remainder when 71 is divided by -1*(-3 - -1) + (-12 - -23). 6 Let b be (-34)/(-4)*-2*5. Let m = b + 124. Suppose -2*s + m = s. What is the remainder when s is divided by 8? 5 Let a(i) = 4*i + 2*i**2 - 3*i - 157*i**3 + 158*i**3 - 2*i - 5. Suppose -3*o + 11 = 2. What is the remainder when a(o) is divided by 20? 17 Suppose 5*x + 3*v - 185 = 0, 5*v - 1 - 58 = -x. Suppose x = 7*w - 50. Let m = 46 - 23. Calculate the remainder when m is divided by w. 11 Let b be 6/(-12)*-2*5. Suppose -4*g = -3*o, b*g - 4*o + 7 = 2*g. Suppose 3*t + 3*n = 36, 7 + g = -5*n. Calculate the remainder when 25 is divided by t. 11 Suppose -12 = -4*g + 3*o - 6*o, -3*g - 3*o = -6. Let n = -27 - -50. Calculate the remainder when n is divided by g. 5 Suppose -2*p = -5*p. Suppose p = -3*s - 6, 2*w = -3*w - s + 93. What is the remainder when w is divided by (-2)/(-4) + 57/6? 9 Suppose 5*k = -31 + 56. Suppose -c - 212 = -3*q, 3*c = 6*q - 2*q - 276. Suppose 3*t + t - q = 0. What is the remainder when t is divided by k? 3 Suppose -4*d = 275 - 895. Let h = d + -82. Suppose 209 = 4*o + 109. Calculate the remainder when h is divided by o. 23 Let w(c) = -c**2 - 14*c - 6. Let d be w(-14). Let k be (-4)/d - (-3400)/30. Calculate the remainder when 42 is divided by k/9 + (-10)/15. 6 Let l be 12/42 - 4983/21. Calculate the remainder when 8 is divided by (0 - 2/3) + (-1106)/l. 0 Calculate the remainder when (-2)/(18/(-3)) + 880/33 is divided by 17. 10 Suppose -2*j = -4*w - 256, -4*j + 192 = w - 4*w. Let x = 163 + w. Let k = 41 + -16. Calculate the remainder when x is divided by k. 24 Let g(r) = 2*r**3 - 5*r**2 + 2*r - 2. Suppose 3*b = 2*v - 53, 9*v - 3*b = 5*v + 109. Calculate the remainder when g(4) is divided by v. 26 Let g be ((-4)/10)/((-4)/5)*60. Let p = 42 - g. What is the remainder when 42 is divided by p? 6 Suppose -19*z = 329 - 2799. What is the remainder when z is divided by 33? 31 What is the remainder when (-50 + -2)/(15 + -16) is divided by 28? 24 Let i be 280/6 + (10/15)/2. Suppose 0 = z, -4*l + 419 = -2*z + i. What is the remainder when l is divided by 16? 13 Let v = -144 - -91. Let r = v + 57. Suppose 3*q + 3 = 36. What is the remainder when q is divided by r? 3 Suppose 4*t + 3 + 1 = 2*b, 0 = 4*b - t - 1. Suppose b*p = 2*p - 40. What is the remainder when 78 is divided by p? 18 Suppose -228 = -8*s + 252. What is the remainder when 417 is divided by s? 57 Suppose -70 = -2*q + 2. Suppose 4*c + 2*c = 114. What is the remainder when q is divided by c? 17 Let v = -24 + 27. Calculate the remainder when 55 is divided by v. 1 Suppose 3*m - 119 = 2*m. Suppose 4*x
{ "pile_set_name": "DM Mathematics" }
)**2*(c + 1)*(5*c - 1) Factor 21*o**3 - 5403*o**2 - 9336*o + 3108. 3*(o - 259)*(o + 2)*(7*o - 2) Factor -3*y**5 - 54*y**4 - 288*y**3 - 384*y**2. -3*y**2*(y + 2)*(y + 8)**2 Solve q**4/5 - q**3/5 - 22*q**2/5 - 44*q/5 - 24/5 = 0 for q. -2, -1, 6 What is p in -3*p**2/2 - 87*p/2 + 45 = 0? -30, 1 Suppose -27*j**5 - 60*j**4 + 339*j**3 - 192*j**2 - 60*j = 0. What is j? -5, -2/9, 0, 1, 2 Factor 8*y**5 + 36*y**4 - 26*y**3 - 25*y**2 + 24*y - 5. (y + 1)*(y + 5)*(2*y - 1)**3 Find r, given that 4*r**2/7 - 18976*r/7 + 22505536/7 = 0. 2372 Solve 2*g**3 - 112*g**2 + 618*g - 900 = 0 for g. 3, 50 Suppose -s**4/3 + 6*s**2 + 32*s/3 + 5 = 0. Calculate s. -3, -1, 5 What is m in -m**4 - 17*m**3/4 - 4*m**2 - 3*m/4 = 0? -3, -1, -1/4, 0 Factor -j**3 - 28*j**2 + 640*j - 2816. -(j - 8)**2*(j + 44) Factor 132*n**3 + 17168*n**2 + 558740*n + 33800. 4*(n + 65)**2*(33*n + 2) Solve 3*j**5 - 129*j**4 - 132*j**3 = 0 for j. -1, 0, 44 Factor -215*l**3 + 870*l**2 + 1035*l - 50. -5*(l - 5)*(l + 1)*(43*l - 2) Suppose 72*a**4/5 - 408*a**3/5 - 334*a**2/5 + 248*a - 120 = 0. Calculate a. -2, 5/6, 6 Factor -3*l**4 - 192*l**3 - 4008*l**2 - 29952*l - 73008. -3*(l + 6)**2*(l + 26)**2 Find w such that -w**3/4 + 7*w**2/4 - 3*w/2 = 0. 0, 1, 6 Find v such that -26*v**4/7 - 72*v**3/7 = 0. -36/13, 0 Let -3*b**4 - 48*b**3 - 129*b**2 + 180*b = 0. What is b? -12, -5, 0, 1 What is x in -4*x**5/7 - 16*x**4/7 + 28*x**3 + 1264*x**2/7 + 1920*x/7 = 0? -5, -4, -3, 0, 8 What is k in k**3 + 56*k**2/3 + 343*k/3 + 686/3 = 0? -7, -14/3 Factor -9*b**3/2 - 33*b**2/2 + 36*b + 30. -3*(b - 2)*(b + 5)*(3*b + 2)/2 Let -1587*b**2 + 8694*b - 11907 = 0. Calculate b. 63/23 Factor 3*s**2/7 + 2892*s/7 + 696972/7. 3*(s + 482)**2/7 Find a, given that 2*a**4/15 - 2*a**3/5 + 2*a**2/15 + 2*a/5 - 4/15 = 0. -1, 1, 2 Determine s, given that 65*s**5 + 10*s**4 - 195*s**3 + 100*s**2 + 20*s = 0. -2, -2/13, 0, 1 Solve q**3 - 408*q**2 + 55488*q - 2515456 = 0. 136 Factor -y**2/3 - 809*y/3 - 808/3. -(y + 1)*(y + 808)/3 Factor -2*u**4/7 - 54*u**3/7 + 8*u**2. -2*u**2*(u - 1)*(u + 28)/7 Let 4*k**4/9 - 172*k**3/9 + 1924*k**2/9 - 476*k/3 - 392 = 0. Calculate k. -1, 2, 21 Find b such that -2*b**3 + 1274*b**2/9 - 976*b/9 - 280/9 = 0. -2/9, 1, 70 Factor -y**2 + 73*y - 826. -(y - 59)*(y - 14) Determine l so that 4*l**2 - 88*l + 484 = 0. 11 Factor 2*o**2/11 + 34*o/11 - 36/11. 2*(o - 1)*(o + 18)/11 Factor 3*u**3 - 273*u**2 + 537*u - 267. 3*(u - 89)*(u - 1)**2 Factor 32*u**3 + 15728*u**2 - 7870*u + 984. 2*(u + 492)*(4*u - 1)**2 Factor 4*r**3 + 84*r**2 + 380*r - 468. 4*(r - 1)*(r + 9)*(r + 13) Factor a**4 + 4*a**3 + 2*a**2 - 4*a - 3. (a - 1)*(a + 1)**2*(a + 3) What is v in 68*v**5 + 130*v**4 + 8*v**3 - 116*v**2 - 76*v - 14 = 0? -1, -1/2, -7/17, 1 Let 7*l**2/3 + 13*l/3 - 2/3 = 0. Calculate l. -2, 1/7 Let 3*b**2 - 1866*b + 1863 = 0. What is b? 1, 621 Let -5*g**5 - 35*g**4 - 65*g**3 - 5*g**2 + 70*g + 40 = 0. Calculate g. -4, -2, -1, 1 Suppose -343*x**5/4 - 644105*x**4/4 + 23058*x**3 + 98614*x**2 + 35684*x + 3756 = 0. What is x? -1878, -2/7, 1 Factor n**4/8 + n**3/2 - 141*n**2/8 + 45*n. n*(n - 8)*(n - 3)*(n + 15)/8 Factor -3*u**2/5 + 891*u/5 - 3516/5. -3*(u - 293)*(u - 4)/5 Suppose 675*f**5/7 + 3390*f**4/7 + 5013*f**3/7 + 3006*f**2/7 + 780*f/7 + 72/7 = 0. What is f? -3, -1, -2/5, -2/9 Factor 4*s**4 - 104*s**3 - 4*s**2 + 104*s. 4*s*(s - 26)*(s - 1)*(s + 1) Factor -z**2 + 593*z - 592. -(z - 592)*(z - 1) Determine a so that a**4/5 - 18*a**3/5 + 16*a**2/5 + 18*a/5 - 17/5 = 0. -1, 1, 17 Factor a**4 - 3*a**3 - 62*a**2 - 96*a + 160. (a - 10)*(a - 1)*(a + 4)**2 Determine g, given that -g**5/3 + 26*g**4/3 - 44*g**3 + 250*g**2/3 - 203*g/3 + 20 = 0. 1, 3, 20 Find y such that -y**4/6 + y**3/3 + 9*y**2/2 - 18 = 0. -3, 2, 6 Solve 12*a**4 - 129*a**3 + 210*a**2 = 0 for a. 0, 2, 35/4 Factor 2*d**2/3 - 10*d/9. 2*d*(3*d - 5)/9 Find y, given that -15*y**4 - 6*y**3 + 105*y**2 - 48*y - 36 = 0. -3, -2/5, 1, 2 Factor 4*w**2 + 60840*w + 231344100. 4*(w + 7605)**2 Solve -10*t**3 - 18*t**2 - 8*t = 0 for t. -1, -4/5, 0 Let z**5 + 119*z**4 + 3822*z**3 + 16578*z**2 + 8721*z - 29241 = 0. Calculate z. -57, -3, 1 Find b such that -b**3/7 + 386*b**2/7 = 0. 0, 386 Factor -150*h**4 - 609*h**3 - 636*h**2 - 36*h. -3*h*(h + 2)**2*(50*h + 3) Suppose 4*w**4 + 6*w**3 - 84*w**2 + 136*w - 48 = 0. What is w? -6, 1/2, 2 Find a, given that -4*a**2 + 96*a - 92 = 0. 1, 23 Solve 2*i**2/11 + 844*i/11 + 842/11 = 0. -421, -1 Factor 2*r**5/5 - 6*r**4 + 144*r**3/5 - 216*r**2/5. 2*r**2*(r - 6)**2*(r - 3)/5 Find i, given that 4*i**4/9 + 136*i**3/9 + 28*i**2 - 136*i/9 - 256/9 = 0. -32, -2, -1, 1 Find q such that 2*q**3/5 + 38*q**2/5 - 418*q/5 + 378/5 = 0. -27, 1, 7 Find o, given that 4*o**3 + 1156*o**2 + 84096*o + 82944 = 0. -144, -1 Solve -3*p**3/5 + 63*p**2/5 - 312*p/5 + 252/5 = 0 for p. 1, 6, 14 Suppose -9*r**5 + 39*r**4 + 111*r**3 - 675*r**2 + 486*r + 648 = 0. What is r? -4, -2/3, 3 Let -a**4 - 57*a**3 + 58*a**2 = 0. Calculate a. -58, 0, 1 What is w in -w**5/4 - w**4/2 + 7*w**3 - 23*w**2/2 + 21*w/4 = 0? -7, 0, 1, 3 Solve j**5/3 + 2*j**4 - 50*j**3/3 + 20*j**2 + 49*j/3 - 22 = 0 for j. -11, -1, 1, 2, 3 Factor -r**3/8 + 8*r**2 - 121*r/8 - 93/4. -(r - 62)*(r - 3)*(r + 1)/8 Let 10*h**2/9 + 2*h/3 - 4/9 = 0. Calculate h. -1, 2/5 Factor -576*g**2 + 96*g - 4. -4*(12*g - 1)**2 Solve 3*a**3 + 981*a**2 - 2970*a = 0. -330, 0, 3 Factor c**2/2 - 17*c/2 - 9. (c - 18)*(c + 1)/2 Find b, given that 5*b**4 + 13*b**3 - 6*b**2 - 20*b + 8 = 0. -2, 2/5, 1 Factor 3*d**3 + 3072*d**2 + 786432*d. 3*d*(d + 512)**2 Factor r**2/3 + 10*r/3. r*(r + 10)/3 Factor -4*t**2 - 664*t + 1344. -4*(t - 2)*(t + 168) Factor -f**4/2 - 18*f**3 - 179*f**2 - 306*f - 289/2. -(f + 1)**2*(f + 17)**2/2 Factor -5*o**2 - 1575*o + 3170. -5*(o - 2)*(o + 317) Factor s**4/5 - 16*s**3/5 - 7*s**2 - 18*s/5. s*(s - 18)*(s + 1)**2/5 Solve 5*c**4 - 55*c**3 - 210*c**2 - 20*c + 280 = 0. -2, 1, 14 Factor 5*w**4 - 40*w**3 + 110*w**2 - 120*w + 45. 5*(w - 3)**2*(w - 1)**2 Factor 2*h**3/5 + 892*h**2/5 - 5406*h/5 + 8136/5. 2*(h - 3)**2*(h + 452)/5 Determine b, given that 3*b**2 - 33*b = 0. 0, 11 Factor -49*s**4/4 + 133*s**3/2 - 277*s**2/4 - 57*s - 9. -(s - 3)**2*(7*s + 2)**2/4 Factor 4*n**4 - 100*n**3 + 492*n**2 + 1300*n + 704. 4*(n - 16)*(n - 11)*(n + 1)**2 Solve 4*p**4 + 44*p**3 - 48*p**2 = 0 for p. -12, 0, 1 Suppose -2*i**3 - 2*i**2 + 2*i + 2 = 0. What is i? -1, 1 Factor 2*b**2 - 130*b - 2212. 2*(b - 79)*(b + 14) Let 4*f**2 + 20*f + 16 = 0. What is f? -4, -1 Factor 5*q**4 + 140*q**3 + 865*q**2 + 1330*q + 600. 5*(q + 1)**2*(q + 6)*(q + 20) Let 4*u**2 + 5548*u + 11080 = 0. Calculate u. -1385, -2 Suppose -3*d**5 - 15*d**4 + 45*d**3 + 15*d**2 - 42*d = 0. What is d? -7, -1, 0, 1, 2 Find t such that 4*t**2 + 1280*t + 102400 = 0. -160 Factor 2*z**4/5 + 4*z**3/5 - 6*z**2/5 - 8*z/5 + 8/5. 2*(z - 1)**2*(z + 2)**2/5 Factor 12*t**3/7 + 141*t**2/7 - 576*t/7 + 135/7. 3*(t - 3)*(t + 15)*(4*t - 1)/7 Suppose 5*f**3 = 0. Calculate f. 0 Factor -z**4 + 9*z**3 - 27*z**2 + 27*z. -z*(z - 3)**3 Factor 28*q**2 - 8*q. 4*q*(7*q - 2) Find s such that 4*s**5/7 + 3*s**4/7 - 13*s**3/7 - 17*s**2/7 - 3*s/7 + 2/7 = 0. -1, 1/4, 2 Factor 3*a**2 - 222*a + 4107. 3*(a - 37)**2 Factor -2*r**2/5 + 2808*r/5 - 985608/5. -2*(r - 702)**2/5 Find b, given that -5*b**2 + 55570*b - 154401245 = 0. 5557 Let 2*s**4/21 - 44*s**3/21 - 14*s**2/3 + 44*s/21 + 32/7 = 0. What is s? -2, -1, 1, 24 Let k**4 + 93*k**3 - 385*k**2 + 291*k = 0. What is k? -97, 0, 1, 3 Suppose 5*g**4 + 160*g**3 + 675*g**2 - 14580*g - 72900 = 0. Calculate g. -18, -5, 9 Factor -4*i**2 + 1384*i - 119716. -4*(i - 173)**2 Suppose m**5/3 - 7*m**4/3 + 3*m**3 + 7*m**2/3 - 10*m/3 = 0. What is m? -1, 0, 1, 2, 5 Solve -4*s**3/7 - 6*s**2/7 + 40*s/7 = 0. -4, 0, 5/2 Factor -20*s**2 - 264*s - 52. -4*(s + 13)*(5*s + 1) What is b in -b**5/4 - 25*b**4/4 - 23*b**3/4 + 25*b**2/4 + 6*b = 0? -24, -1, 0, 1 Factor -15*b**3/2 + 20*b**2 - 65*b/6 + 5/3. -5*(b - 2)*(3*b - 1)**2/6 Factor -2*n**3/15 - 8*n**2 + 506*n/15 - 128/5. -2*(n - 3)*(n - 1)*(n + 64)/15 Find p such that 15*p**5 + 51*p**4 + 9*p**3 - 87*p**2 - 24*p + 36 = 0. -2, -1, 3/5, 1 Determine o so that -o**2/2 + 275*o - 75625/2 = 0. 275 Factor 4*p**5 - 184*p**4 + 528*p**3 - 520*p**2 + 172*p. 4*p*(p - 43)*(p - 1)**3 Determine n so that n**3/2 - 151*n**2/8 + 703*n/4 + 361/8 = 0. -1/4, 19 Factor 2*i**2 + 56*i. 2*i*(i + 28) Solve -
{ "pile_set_name": "DM Mathematics" }
ose 0 = 4*n - 2*t + 8, 0 = -4*n - 0*t - 2*t. Which is the closest to n? (a) 2 (b) -5 (c) -2/9 c Let p = -115 + 111. Which is the nearest to 0.2? (a) 4/7 (b) p (c) -1.9 a Let z(u) = 2*u - 6. Let x be z(4). Let r(g) = g**3 + 5*g**2 + 4*g + 8. Let k be r(-5). Let p be 64/k*(-1)/12. What is the closest to x in 5, 0, p? p Let v = -81 + 53. Let o = -29 - v. Let k = 15 - 10. Which is the closest to o? (a) k (b) -0.02 (c) -3/2 c Let z = -371 - -370. What is the closest to 1/2 in 10, 1, z? 1 Let g = 0.12 - 0.32. Which is the closest to -2? (a) 3 (b) g (c) 0.18 b Let y = 6 - 6.7. Let v = y - 0.4. Let o = 3.9 - v. Which is the nearest to 0.3? (a) o (b) 0.4 (c) 1/4 c Let v(k) = 4*k**2 - 11*k + 16. Let c be v(2). What is the nearest to 0.3 in c, -10, 0.2? 0.2 Let g = 5 - 4.5. Suppose 22*d + 7 = -15. What is the nearest to d in 5, g, -6? g Suppose 2 + 2 = -2*j. Let h = 1 - j. Let t be ((-6)/(-15))/(12/(-45)). What is the closest to -1 in h, t, -2/11? t Let q(f) = -f**3 - 8*f**2 + 8*f - 7. Let i be q(-9). Suppose -3*d + i = -5*d. What is the nearest to -1 in -2/9, -3, d? d Let s = 0.0163 - 0.5163. What is the nearest to 0.1 in 5, s, -0.093? -0.093 Let q = -494 + 495. Which is the nearest to 1/3? (a) 1/3 (b) q (c) 3/2 a Let l = 2152 + -2164. What is the nearest to -2 in l, -1/3, -0.3, 0.4? -1/3 Let l = -86 + 81. What is the nearest to -2/5 in -0.2, l, -1? -0.2 Let f = 115.47 + -115. Let d = 19.47 - f. Let h = d - 18.8. Which is the nearest to 0.2? (a) h (b) 0.3 (c) -2/15 a Suppose 5*h - 20 = 0, 2*l + 4*h - 2*h - 6 = 0. What is the nearest to l in 0.1, 0.06, -1? -1 Let g = 0.1 - -0.9. Let u = 91.95 + -91.85. What is the closest to g in 3, 0.3, u? 0.3 Let t be (-27)/5 - (-60)/12. Let y(d) = d**2 + 3*d - 14. Let q be y(-6). What is the closest to -0.2 in q, -4/3, t? t Let q = 391 - 3521/9. Let d = 1.8 - 2. Which is the closest to 0.1? (a) d (b) 0.1 (c) q b Let h = 2.4 - 0.4. Let p = 3205473/13 - 246368. Let m = p - 207. Which is the nearest to -0.1? (a) h (b) m (c) -5 b Let u be (-12)/(-28) - (-270)/7. Let a = u - 44. What is the nearest to -1 in a, -4, -4/7? -4/7 Let f = -0.6 + -0.4. Let j = f - -1.1. Let k = 5 - 8. Which is the closest to k? (a) j (b) -2/7 (c) -2/9 b Let m = 514 + -512. Which is the closest to 2? (a) -0.02 (b) m (c) -1/2 (d) -0.2 b Let h = -0.626 - 0.374. Suppose 6 = -s + 5*r + 3, -5 = -2*s - r. Suppose 0 = s*u - 0*u - 8. What is the nearest to -1/2 in u, 5, h? h Let u = -78 + 77.845. Let r = u + 0.055. Which is the nearest to r? (a) -1/3 (b) -0.05 (c) 0.1 b Let c(u) = -9*u**2 - 12*u - 8. Let y be c(-1). What is the closest to 2 in -1/2, y, 0? 0 Let k = -311/247 - -15/13. Which is the closest to 3/5? (a) 0.3 (b) -0.2 (c) k a Let l = -0.4062 + 0.0062. What is the closest to 3 in 5, -2, l, -3? 5 Let v = 16/9 - 2. Let h be 1/2*(-3 - -1). Let x be (h/4)/((-6)/16). What is the nearest to x in v, 0.1, 1/6? 1/6 Suppose -1 = 8*b - 9. Suppose 3*h + 3*g - 4 + b = 0, -2*g = 3*h - 5. What is the nearest to -2 in 3/5, h, -22? 3/5 Let f = 9.3 - 14.3. Which is the closest to -3? (a) -1/6 (b) f (c) -0.3 b Let r = -339 - -340. Let p = 1/105 - -2/15. What is the nearest to r in 0.2, p, -2/11? 0.2 Let o = -338802/5105 + -34/1021. Let p = o - -66. What is the nearest to -0.07 in -0.1, p, -0.5? -0.1 Let h = 134/85 + -20/17. Which is the closest to 1/3? (a) h (b) -2/3 (c) 0.1 a Let f = 0.03 - 0.03. Suppose 4*g - 3*k = -20, -2*k = 4*g + g + 2. What is the closest to f in -1, g, 0.5? 0.5 Let h = 6.6 + -1.7. Let d = h + -4.7. What is the nearest to d in 4, 0, -2? 0 Let j = 0.05 + -4.05. Suppose z = 4*z - 48. Suppose 5*u - u = 3*x - 15, 4*x - z = 4*u. What is the nearest to x in 0, j, -0.2? 0 Suppose 5*z = -a + 21, 5*z = 2*a - a + 29. Let h = 1.33 + -0.33. What is the closest to -3/5 in h, -2/11, a? -2/11 Let w = -117 - -117.2. Which is the nearest to -1/3? (a) w (b) 0 (c) 7 b Let h = 10.4 + -9.9. Let r = -23 + 18. Which is the closest to -1/3? (a) -1/6 (b) r (c) h a Let m = -477 - -477. What is the nearest to m in -5, 0.3, -21? 0.3 Let z = -1.96 + 2. Let v = z + 0.06. Let j = -338 - -342. Which is the closest to v? (a) j (b) -0.2 (c) -1 b Let n be (-1)/(-2*(1 + 1)). Let j = -0.02 - 4.98. Let k = -1192 + 1191. Which is the closest to k? (a) n (b) 0.4 (c) j a Let i = 35341/938 - 129/134. Let x = i - 37. Let h(q) = -q**3 + 2*q + 1. Let a be h(2). What is the closest to 0.1 in 5, x, a? x Let j = -1/2366 + -590/3549. What is the nearest to 0.1 in -3/16, j, 5? j Let j = -7.13 - -7. Let x = 14.4 - 15.03. Let o = x - j. Which is the closest to -2/11? (a) 2 (b) 1/3 (c) o c Let v = -34319/32109 + 8/973. Let c = v + 8/11. Let i = 0 - 0.1. What is the closest to i in 0.1, -2/5, c? 0.1 Let z be (7/(-2))/((-77)/22). Which is the nearest to z? (a) 1/5 (b) -3/2 (c) -2 (d) 0 a Let p be 0 - ((-2)/(-21))/((-4)/18). Which is the nearest to 0.1? (a) p (b) -5 (c) 10 a Let i = 83 - 83.6. Let l = -1.1 - i. What is the closest to 0 in l, 1/5, 3/8? 1/5 Let x = -6.6 + -19.4. Let q = -22 - x. Which is the nearest to 2/25? (a) 1 (b) q (c) -0.1 c Let v = -109 + 103. Which is the nearest to -2/3? (a) 3 (b) v (c) 12 a Let i = -19.8 + 1.8. Let s = i + 8. Let l = s + 12. What is the closest to -1 in l, -0.5, 0.4? -0.5 Let p = 8 - 6. Let b = 0.28 + 0.12. Let l be 6/45*(-5)/3. What is the nearest to l in b, -4, p? b Let p = -0.41 - 0.09. Let r(n) = -n + 1. Let x be r(1). What is the nearest to 1 in x, p, 2/5? 2/5 Let w = -0.098 + 171.098. Let y = w + -161.1. Let k = 10 - y. Which is the nearest to k? (a) -0.2 (b) 6 (c) 3 a Let y = 1.937 - -0.063. Which is the nearest to y? (a) 2/5 (b) 5/4 (c) 2 (d) 2/9 c Let n = 5367 + -5364. Let t = -3 + 2.5. What is the nearest to n in -0.4, -5, t? -0.4 Let f be (29 - 27) + ((-40)/(-9))/(-2). Which is the closest to 0? (a) f (b) 3/5 (c) 0.09 (d) -5 c Let y be (8/70)/(114/15). Let g = y + 256/665. Let p = -43.5 + 43. Which is the closest to g? (a) p (b) 0.5 (c) 0.4 c Let g = 1.43 + 0.1. Let r = -1.5 + g. Let n = -8.6 - -9. Which is the nearest to -1? (a) r (b) -3 (c) n a Let q = 1.9 - -0.1. Let p = q - 0.2. Let s = p - 6.8. Which is the nearest to 0.1? (a) -2/3 (b) 3 (c) s a Let d(x) = x + 23. Let u be d(-21). Let n be (u/4 - 1) + (-3)/(-42). Which is the nearest to -0.04? (a) 5 (b) n (c) 0.3 c Let i = -16 - -16.2. Let g = -0.12 - 8.88. Which is the closest to g? (a) 4 (b) -3 (c) i b Let g = -892/7871 - 2/463. What is the closest to 0.1 in -5, g, 1/46? 1/46 Suppose l = -4*x - 0*l - 16, l = -2*x - 8. Let h = -100/39 + 317/78. Which is the closest to h? (a) -4/5 (b) x (c) 3 c Let p be 4*(-1)/(-12)*1. Let m = p + -5/6. Let y = 3/4 + m. Which is the closest to y? (a) -2/9 (b) -2 (c) 0.5 c Let r = 3.34 - 3.1. Let i = r - -0.26. Which is the closest to -0.1? (a) i (b) -0.5 (c) -2/7 c Let t = -41.025 - -0.025. Let w = -41.05 - t. Let q be (-2 - (0 + -2))/(-1). Which is the nearest to q? (a) 0.2 (b) -2 (c) w c Let f = -624 + 9358/15. Suppose -1 + 5 = 4*l. Which is the nearest to f? (a) 2 (b) 4 (c) l c Let d = 2.984 - 0.984. What is the closest to 0.1 in 13/5, -0.1, d, -1? -0.1 Let z = 0.112 - -0.088. Which is the closest to z? (a) -0.1 (b) 5 (c) -0.2 (d) 4 a Let v = 13 + -12. Let l = 20 + -21. Let h = l - v. Which is the closest to h? (a) 2/7 (b) -5 (c) -0.3 c Let j = 1.04 + -0.04. Let q = -232.1 + 233.1. Which is the closest to j? (a) -4 (b) q (c) 3/8 b Suppose -d - 13 = 2*y + 2*d, 4*y + d + 1 = 0. Let k = 0.0025 - -0.3975. Let f = 6 + -7. Which is the closest to y? (a) f (b) 0.3 (c) k c Let q = -11 - 0. Let z = q - -11. Let j = 4 + z. Which is the nearest to 0.1? (a) j (b) 0.5 (c) 2/7 c Suppose c - y = -4*c - 238, 0 = c - 4*y + 40. What is the closest to -0.1 in c, -0.1, 0, -5? -0.1 Let l(d) = 149*d + 600. Let n be l(-4). Let f be 1 + -2 - 1*-3. What is the closest to 26 in n, f, -2? n Suppose o - 4*c = -2*o + 4, c = 4*o + 12. Let u be 2/3*3/o + 1. What is the nearest to 0 in u, 1, 4/7? u Let q = 1820 + -12741/7. What is the closest to -0.3 in -5, 18, 0.3, q? q Let l(o) = 26*o + 17. Let w be l(4). Let r = 123 - w. Which is the closest to 3/11? (a) r (b) 1 (c) 0.3 c Let u = -0.02 + -0.38. Let z be (-9)/((-495)/(-10)) + 106/(-22). Which is
{ "pile_set_name": "DM Mathematics" }
*3 + 4 + 0*x**4 - 1/70*x**7 + 9/10*x**5. What is the third derivative of j(f) wrt f? -72*f - 84 Let z(f) be the first derivative of -92*f**5/5 + f**4 + 7*f**3 - 65*f - 48. What is the third derivative of z(b) wrt b? -2208*b + 24 Let d = 50 - 48. Let k(q) be the first derivative of -2*q - d*q + 5*q - 10 - 3*q**4 - 18*q. Differentiate k(m) with respect to m. -36*m**2 Let y(l) be the third derivative of 1417*l**6/120 + l**4/2 + l**3 + 542*l**2. Find the second derivative of y(h) wrt h. 8502*h Let q be (12/(-8)*(-1376)/12)/2. What is the derivative of 84 + 78 + q + 49*v - 271 wrt v? 49 Let y(o) = -16*o - 7. Let k be y(3). Let m = 141 + k. What is the first derivative of 31 - 86*a**2 + 9*a**4 + m*a**2 wrt a? 36*a**3 Let k(h) = -4426*h**3 + 4495*h**2 - 14*h. Let b(q) = 53115*q**3 - 53940*q**2 + 170*q. Let v(c) = -7*b(c) - 85*k(c). Find the third derivative of v(z) wrt z. 26430 Let j(p) = -563*p**2 + 3*p + 487. Let l(i) = 562*i**2 - 4*i - 495. Let z(h) = 6*j(h) + 5*l(h). What is the second derivative of z(v) wrt v? -1136 Let c be (3 - 4)/((-17)/612). What is the second derivative of 48*n + 21*n + 64*n - c*n - 213*n**5 + 79*n wrt n? -4260*n**3 What is the second derivative of 3217*h**4 + 3218*h**4 - 1032 - 9652*h**4 + 7791*h**5 + 3217*h**4 + 2*h wrt h? 155820*h**3 Let l(n) = -125*n - 2988. Let k(r) = 249*r + 5983. Let q(d) = 6*k(d) + 13*l(d). What is the derivative of q(y) wrt y? -131 Let v(h) be the third derivative of -7/12*h**4 - 1/4*h**6 + 0*h + 14*h**2 - 2 + 0*h**3 + 1/60*h**5 - 1/70*h**7. Find the third derivative of v(o) wrt o. -72*o - 180 Let a(c) = -c**3 + 48*c**2 + 100*c + 30. Let r be a(50). Find the first derivative of 12 + r - 197*b + 28 + 10 - 42 wrt b. -197 Let c(w) be the second derivative of 744*w**2 - 264*w - 315*w**2 - 347*w**2 - 10*w**3. What is the first derivative of c(n) wrt n? -60 Let i = -52 - -65. What is the second derivative of -3*p**4 - 337*p - i*p**3 + 301*p - 5*p**3 wrt p? -36*p**2 - 108*p Let u(f) be the second derivative of -440*f**3/3 + 138*f**2 + 648*f. What is the first derivative of u(a) wrt a? -880 Let r(h) be the third derivative of 0*h - 2/5*h**6 + 1/3*h**3 + 1/6*h**5 + 0*h**4 - 60*h**2 + 0. Find the third derivative of r(b) wrt b. -288 Suppose 3*i = 4*b - 98, 2*b - 6*i + i - 56 = 0. Let a = 138 - 71. What is the first derivative of -64 + 105 - b*p - a wrt p? -23 Let f = 251 - 231. Find the third derivative of -f*u**2 - 188*u**2 + 74*u**2 - 19*u**3 wrt u. -114 Suppose 2*j - 2*r = -5*r - 20, -j - 2*r = 10. Let f = j + 32. What is the third derivative of -149 - 21*o**4 - f*o**2 + 149 wrt o? -504*o Differentiate 4105 - 1616*p + 4834*p - 514 + 1938*p wrt p. 5156 Let g(u) be the third derivative of 127*u**7/105 - u**6/60 + u**5/15 - 39*u**3/2 + 9*u**2 + 3*u + 2. Differentiate g(j) with respect to j. 1016*j**3 - 6*j**2 + 8*j Let a(h) be the third derivative of -h**2 + 0 - 223/24*h**4 + 34*h**3 - h + 1/60*h**5. Find the first derivative of a(v) wrt v. 2*v - 223 Let v(r) = -5*r**4 - 1923*r**2 - r - 1962. Let g(f) = 9*f**4 + 3851*f**2 + 2*f + 3925. Let y(s) = 4*g(s) + 7*v(s). Find the second derivative of y(p) wrt p. 12*p**2 + 3886 Suppose -25*t = -16*t - 18. Find the third derivative of 5*x**2 - 3*x**t + 217*x**5 - 84*x + 44*x**5 - 5*x wrt x. 15660*x**2 Suppose 3*b = -b + 192. Let w = b - 45. What is the second derivative of 36 - 36 - 4*q**w + 8*q wrt q? -24*q Let m(s) = -1306*s**3 + s**2 + 602*s + 2. Let w(g) = 7837*g**3 - 7*g**2 - 3612*g - 13. Let t(y) = 13*m(y) + 2*w(y). Find the second derivative of t(q) wrt q. -7824*q - 2 Let u be 3/8*8/1. Suppose -47 = -3*x + 4. Differentiate 7 - x + u + 3*p**4 with respect to p. 12*p**3 Let f(w) = 6785*w**3 - 18*w**2 + 6370. Let s(b) = 1696*b**3 - 4*b**2 + 1593. Let y(h) = -2*f(h) + 9*s(h). Differentiate y(u) wrt u. 5082*u**2 Let g(m) = 914*m**2 - 471*m - 3. Let o(s) = 4*s + 3. Let p(h) = -2*g(h) - 2*o(h). Find the second derivative of p(z) wrt z. -3656 Let a = -18 - -29. What is the second derivative of 34*o - 68*o - 3 + 32*o + a - 35*o**4 wrt o? -420*o**2 Suppose 0 = -4*z - 3*z - 28. Let r(y) = 49*y**4 + 2*y + 14. Let l(h) = h - 1. Let c(a) = z*l(a) - r(a). Find the second derivative of c(g) wrt g. -588*g**2 Let s(w) = 3*w + 9. Let a be s(-2). What is the second derivative of 134*h - 4*h**3 + 4*h**a - 38*h - 95*h**5 wrt h? -1900*h**3 Let q(r) = -2185*r**2 + 759. Let b(s) = 4373*s**2 - 1517. Let d(a) = -3*b(a) - 5*q(a). Differentiate d(l) wrt l. -4388*l Let y(g) be the third derivative of 3569*g**7/210 - g**4/12 + 203*g**3 - 2433*g**2. Find the second derivative of y(b) wrt b. 42828*b**2 What is the first derivative of -476 - 747*p - 606 + 2289 - 699 wrt p? -747 Let y(t) = -3208*t**3 + 611*t**2 + 3*t. Let v(l) = -7*l**3 + l**2 + l. Let z(f) = -3*v(f) + y(f). Find the third derivative of z(a) wrt a. -19122 Let l(o) be the first derivative of 16*o**5 - 2054*o + 400. Find the first derivative of l(t) wrt t. 320*t**3 Let n = -224 + 228. What is the third derivative of 0*y**4 - y - 61*y**2 - 66*y**2 + 172*y**6 - 170*y**6 + 24*y**n + 24*y**4 wrt y? 240*y**3 + 1152*y What is the second derivative of -1 + 1055*x - 2064*x + 1 - 1849*x**3 wrt x? -11094*x Let g(b) = 2*b + 7. Suppose 98*d - 6 = 104*d. Let o(n) be the first derivative of n**2/2 - 2. Let f(y) = d*g(y) - 3*o(y). Differentiate f(c) wrt c. -5 Let c be (-11)/(-4) + (-15)/4 + 3. What is the second derivative of 3*y**c + 8*y**3 - 5 - 2*y + 11*y**3 + 2*y**3 - 4*y**2 wrt y? 126*y - 2 Differentiate -2*b**4 - 707*b**3 - b**2 + 329*b**3 - 7602 + 14*b**4 + 354*b**3 + 1730 wrt b. 48*b**3 - 72*b**2 - 2*b Let t(d) = -d**2 + 5*d + 3. Let b be t(5). Suppose 0 = b*v - 4 - 2. What is the third derivative of 255*z**4 + 26*z**v - 9*z**2 - 272*z**4 wrt z? -408*z Find the second derivative of 171*r - 28*r**5 + 187*r - 39*r**2 + 15*r**2 + r**5 wrt r. -540*r**3 - 48 Let m be (1 - -6) + (-20)/5. Suppose -v + x - m*x = -12, 5*v - 15 = 5*x. Find the third derivative of -v*k**4 + 0*k**2 + 20*k**2 + 3*k**4 wrt k. -72*k Let t be (-10)/5*(-224)/168. Let w(s) be the second derivative of 5/2*s**2 - 8*s + 0 - t*s**3. Find the first derivative of w(y) wrt y. -16 Let z = 7 + -3. Suppose 2 = z*i + 2*t, 3*i - 3*t = -5*t + 2. Find the first derivative of -75 + i*v + 19*v**2 + 0*v + 48 wrt v. 38*v Let f(n) be the third derivative of -281*n**8/336 + n**6/120 + 3*n**5/20 + n**4/4 - 13*n**3/6 - 16*n**2 - 55. Find the third derivative of f(j) wrt j. -16860*j**2 + 6 Let k(x) = -312*x**3 - 3*x**2 - 658*x. Let d(z) = 1250*z**3 + 13*z**2 + 2632*z. Let a(b) = -4*d(b) - 17*k(b). Find the second derivative of a(w) wrt w. 1824*w - 2 Let k(w) = -21*w**3 + w + 1. Suppose 5 = -i + 1, -3*c - 5*i - 23 = 0. Let d be k(c). Find the second derivative of -d*m**4 - 4*m**4 + 2*m + 35*m**4 wrt m. 120*m**2 Suppose -8*c + 22 = 3*c. Find the third derivative of -2*x**3 + 19*x**2 - 43*x**c - 36*x**5 + 18*x**2 wrt x. -2160*x**2 - 12 Let j(l) = -14*l**3 + 3*l + 149. Let i(c) = 11*c**3 - 24*c**3 + 228 - 79 + 2*c. Let b(h) = -3*i(h) + 2*j(h). What is the derivative of b(s) wrt s? 33*s**2 Find the first derivative of 567 - 1216 - 924*w - 602 - 460*w - 417 wrt w. -1384 Let d = 11600 + -11596. Let n(r) be the second derivative of 0*r**d + 0*r**2 - 17/20*r**5 + 7/3*r**3 + 0 - 21*r. Find the second derivative of n(x) wrt x. -102*x Let c(o) = -8805*o**3 - 9*o**2 - 475*o + 7. Let g(d) = -4403*d**3 - 4*d**2 - 241*d + 3. Let w(s) = 2*c(s) - 5*g(s). What is the third derivative of w(q) wrt q? 26430 What is the first derivative of 230*n**2 + 3934 - 1541*n**4 + 72*n**4 - 454*n**2 + 224*n**2 wrt n? -5876*n**3 Let n(u) = 2*u + 54. Let w be n(-10). Find the third derivative of -15*z**5 + 290*z**2 + 29*z**5 + w*z**5 + 27*z**5 - 2*z**5 wrt z. 4380*z**2 Let k(d) = 31*d**4 - 7*d**2 - 9*d + 2173. Let w(g) = -14*g**4 + 3*g**2 + 4*g - 1087. Let a(c) = 4*k(c) + 9*w(c). Differentiate a(i) wrt i. -8*i**3 - 2*i Let q(y) be the second derivative of -4253*y**4/6 + 535*y**3/2 - 8600*y. What is the second derivative of q(x) wrt x? -17012 Let u be 170/20 - (-1)/(1 + 1). Find the third derivative of 18*o**2 - 11*o**2 - 1 + 1 - 13*o**4 - 81*o - u*o**2 wrt o. -312*o Let v be (-4)/20 - (-22)/10 - -2. Suppose 2*g = -2*g + v*z, z - 4 = -g. Differentiate -1 - 4 + 4*r**2 + 6*r**g + 0 wrt r. 20*r Let s(r) be the second derivative o
{ "pile_set_name": "DM Mathematics" }
+ n. n + 25868 Collect the terms in 4*z**2 + 2*z**2 + 9*z**2 + 2*z**2 - 12*z**2 + 18523. 5*z**2 + 18523 Collect the terms in -99*z**3 + 470*z**3 - 1934*z**3 - 602*z**3. -2165*z**3 Collect the terms in 30 + 29 + 27 + 617*w - 605*w + 34 - 113. 12*w + 7 Collect the terms in 13288 + 13282 - 26570 + 6*z**3 - 2*z**3 - 602*z**2. 4*z**3 - 602*z**2 Collect the terms in -5 + 14 - 25*a - 24 - 2 - 12. -25*a - 29 Collect the terms in -15104652*w**2 + 17807813*w**2 - 75013081*w**2. -72309920*w**2 Collect the terms in -3380383*u + 3380383*u - 180*u**2 - 829*u**2. -1009*u**2 Collect the terms in 2 + 473556*a - 3 - 404658*a + 1. 68898*a Collect the terms in -285*g**2 + 11*g**2 - 79 + 20 + 27 + 32. -274*g**2 Collect the terms in -1051142*p**2 - 164*p**3 + 1051142*p**2 - 226*p**3 + 57*p**3. -333*p**3 Collect the terms in 20*w**3 + 2611697*w**2 - 2611697*w**2. 20*w**3 Collect the terms in -87*a**3 + 5*a - 4*a + 11*a**2 + 64*a**2 + 10*a**2. -87*a**3 + 85*a**2 + a Collect the terms in 347581195824 - 347581195824 - 12*j. -12*j Collect the terms in -4423*y - 33732245 + 357*y + 33732245. -4066*y Collect the terms in -5*m + 2 + 4 + 18*m + 1939*m**2 - 71*m**2 - 3. 1868*m**2 + 13*m + 3 Collect the terms in 771705954480*o**2 - 771705954480*o**2 - 42*o**3. -42*o**3 Collect the terms in -4679*d + 4683*d - 114 + 319*d**2 - 329*d**2. -10*d**2 + 4*d - 114 Collect the terms in 4149954*q + 47 + 1290381*q - 47. 5440335*q Collect the terms in -57208*m - 57228*m - 2 + 114410*m + 2. -26*m Collect the terms in -1464*t**2 + 5*t**2 + 1462*t**2 + t**2. 4*t**2 Collect the terms in -46*t**2 - 2 - 184*t**2 + 4 - 3688*t**2. -3918*t**2 + 2 Collect the terms in 2445*b + 905*b - 1 + 5918*b + 1. 9268*b Collect the terms in -6*m + 13*m - 1409 + 13306 - 977. 7*m + 10920 Collect the terms in -808*f + 3315 + 5803 + 793*f. -15*f + 9118 Collect the terms in -3*k**2 - 9*k**2 - 60857*k**3 + 10*k**2 - 42024*k**3. -102881*k**3 - 2*k**2 Collect the terms in -56290 - 7443*g + 56290. -7443*g Collect the terms in -63 - 4 + 2 - 58 - 7*h**2 - 43 - 14*h. -7*h**2 - 14*h - 166 Collect the terms in 0*x - 804*x - 3*x**2 - 603*x - x**2 + 5*x**2 + 0*x**2. x**2 - 1407*x Collect the terms in -1 + 57*a + 18*a + 4330*a**2 - 73*a. 4330*a**2 + 2*a - 1 Collect the terms in 1086*j - 518 - 91 + 64*j. 1150*j - 609 Collect the terms in 10*y**2 - 46988*y - 5*y**2 + 36*y**2 + 10*y**2 + 46988*y. 51*y**2 Collect the terms in 2*c + 0*c + 28 + 4*c - 8*c + 305. -2*c + 333 Collect the terms in -37541*l**2 + 25287*l**2 + 12274*l**2. 20*l**2 Collect the terms in -13*d**2 + 12*d**2 - 59809*d + 59809*d. -d**2 Collect the terms in 1 - 749*x**2 + 448*x**2 + 1 + 1269*x**2 + 1288*x**2 - 2*x. 2256*x**2 - 2*x + 2 Collect the terms in -108 - 109 + 217 - 19837*c**2. -19837*c**2 Collect the terms in -148*x - 92*x + 42*x + 26*x. -172*x Collect the terms in 358*z**3 + 12471*z - z**2 - 375*z**3 + z**2. -17*z**3 + 12471*z Collect the terms in -40595*j + 20324*j + 19975*j. -296*j Collect the terms in 2384*t**3 - 1 - 7354*t**3 + 2458*t**3 + 2406*t**3. -106*t**3 - 1 Collect the terms in -31 + 31 + 6*g**3 - 373845*g**2 - 4*g**3. 2*g**3 - 373845*g**2 Collect the terms in 101 - 511*l - 460*l - 513*l + 1486*l. 2*l + 101 Collect the terms in -353248*u + 706495*u + 3252*u**2 - 2*u**3 - 353248*u. -2*u**3 + 3252*u**2 - u Collect the terms in 16917*c**2 - 16908*c**2 + 121 - 110. 9*c**2 + 11 Collect the terms in 100*k**2 - 197*k + 393*k - 55*k - 71*k - 68*k. 100*k**2 + 2*k Collect the terms in -114*z - 31*z - 24*z - 35*z + 11 + 201*z - 11. -3*z Collect the terms in -597*s + 2896*s - 2350*s - 6 + 6. -51*s Collect the terms in 1905*r**2 - 33645401 - 1903*r**2 + 33645401. 2*r**2 Collect the terms in -993*k + 461*k + 495*k. -37*k Collect the terms in -564*h**2 + 126067*h**3 + 564*h**2 - 126050*h**3. 17*h**3 Collect the terms in 291083*k**3 + 745*k - 252*k - 248*k - 245*k. 291083*k**3 Collect the terms in -4*y**3 - 73 + 21 - 12*y + 52 + 10*y**3. 6*y**3 - 12*y Collect the terms in 14 - 11 - 6*h + 78 + 7*h + 14. h + 95 Collect the terms in 446*m**2 + 2221922*m - 190*m**2 - 2221922*m + 676*m**2. 932*m**2 Collect the terms in 428906 + 5199427 - 19981499 - 2*d**2 - 10995138. -2*d**2 - 25348304 Collect the terms in 926 - 162 - 35*b**3 - 387 - 377. -35*b**3 Collect the terms in 42520 + 27277 + 16763 + 2*f. 2*f + 86560 Collect the terms in 25670*b**3 - 36*b**2 - 252 - 25672*b**3 + 9*b**2. -2*b**3 - 27*b**2 - 252 Collect the terms in 10413*g**2 + 2 - 16852*g**2 - 1 - 1 + 9497*g**2. 3058*g**2 Collect the terms in 170659 + 158*b**3 - 11273 - 157*b**3. b**3 + 159386 Collect the terms in 1 - 2959*u**2 + 0 - 826*u**2 + 309*u**2 - 1. -3476*u**2 Collect the terms in 102*g**3 - 1241*g**2 - 1700*g**2 - 100*g**3 - 4257*g**2. 2*g**3 - 7198*g**2 Collect the terms in -196*o + 585*o - 217*o - 178*o. -6*o Collect the terms in -1444 - 7551 - w**2 + 182*w - 4410. -w**2 + 182*w - 13405 Collect the terms in 489 - 2*b**3 - 6*b + 3*b - b + 28*b**2. -2*b**3 + 28*b**2 - 4*b + 489 Collect the terms in 54 + 256*b**2 - 569*b**2 + 315*b**2. 2*b**2 + 54 Collect the terms in 9 - 123*o - 3 - 246*o - 6 + 90*o. -279*o Collect the terms in -36*c**3 + 24044795*c - 24044795*c. -36*c**3 Collect the terms in 4415 + 185*l - 555*l - 8827 + 4412. -370*l Collect the terms in -492 + 985 - 185284*l + 92599*l - 493 + 92889*l. 204*l Collect the terms in 78 - 16120*h + 80 - 158. -16120*h Collect the terms in -22*s**3 + 48 - 2956824*s - 48 + 2956824*s. -22*s**3 Collect the terms in 30*z - 197348243 + 197348243. 30*z Collect the terms in 172 + 189*b**2 - 173 - 169*b**2. 20*b**2 - 1 Collect the terms in -a**2 - 178 - 158 + 80 - a**2 - 31. -2*a**2 - 287 Collect the terms in 43574 + 43238 - 86812 + 21*t. 21*t Collect the terms in 17333*y**3 - 8881*y**3 - 7550*y**3. 902*y**3 Collect the terms in -73*p**3 + 106458*p**2 - 106458*p**2 + 23*p**3 + 28*p**3 + 18*p**3. -4*p**3 Collect the terms in -51*l**3 + 979*l - 1793*l + 2 + 814*l. -51*l**3 + 2 Collect the terms in 151 + 2882*z + 121 - 305. 2882*z - 33 Collect the terms in -26542*h + 26542*h - 15*h**3 + 385*h**2. -15*h**3 + 385*h**2 Collect the terms in 7802*v**2 - 46793*v**2 + 7804*v**2 + 7786*v**2 + 7803*v**2 + 7800*v**2 + 7801*v**2. 3*v**2 Collect the terms in -1152405 + 1152405 - 155524*l. -155524*l Collect the terms in 575 + 2069*n**2 - 1150 - 2061*n**2 + 575. 8*n**2 Collect the terms in 0 + 2*m**3 - 20 + 3*m**3 + 258 - 238 + 10*m**3. 15*m**3 Collect the terms in 10*w + 0*w + 4*w - 19*w + 11*w + w. 7*w Collect the terms in 7915*p - 1582*p + 11824*p. 18157*p Collect the terms in 0*h**2 + 1077129283*h**3 + 0*h**2 - 1077129229*h**3. 54*h**3 Collect the terms in 3466 - 12*a - 3489 + 3*a + 3*a. -6*a - 23 Collect the terms in -3*g - 20 - 5*g + 10*g - 6*g + 14*g - 4*g. 6*g - 20 Collect the terms in 10*u**3 + 116*u**3 + 3289127*u - 3289129*u. 126*u**3 - 2*u Collect the terms in -352 - 355 - 1324*v - 358 - 404 + 1469. -1324*v Collect the terms in 3576 - 1653 + 4794 + 815 + b. b + 7532 Collect the terms in 71*q**2 + 44*q**2 - 209*q**2 - 19*q**2 + 115*q**2. 2*q**2 Collect the terms in -501*x**3 - 8*x + 143*x**3 + 180*x**3 + 138*x**3. -40*x**3 - 8*x Collect the terms in -688*q - 943*q + 1155*q. -476*q Collect the terms in -f**3 - 835 + 410 - 6*f**3 + 425. -7*f**3 Collect the terms in -3716*s**3 - 3501*s**3 + 431*s**3 + 1837*s**3 - 2043*s**3. -6992*s**3 Collect the terms in 77 + 17*o**2 + 36*o + o - 15*o**2 + 19. 2*o**2 + 37*o + 96 Collect the terms in 6 - 4 - 1 - 7 + 2 + 606*l. 606*l - 4 Collect the terms in -14*i**2 + 18*i**2 + 4*i**2 + 9*i**2 + i**2 + i**2. 19*i**2 Collect the terms in 44599*s - 44599*s - 1594*s**3. -1594*s**3 Collect the terms in -68*v + 228*v + 116*v - 2 - 27*v. 249*v - 2 Collect the terms in -77 + 180 + 13*a**3 - 4*a - 100. 13*a**3 - 4*a + 3 Collect the terms in 105030 - 3062*a**2 - 105030. -3062*a**2 Collect the terms in -567 + 126*i**2 + 566 - 127*i**2 - 357*i. -i**2 - 357*i - 1 Collect the terms in -18953 + 24*z**2 - 18878 - 18953 + 38*z**2 + 56784. 62*z**2 Collect the terms in -3*u - 800685*u**2 + 6*u - 3*u. -800685*u**2 Collect the terms in -67*b - 32*b - 34*b - 126*b + 308*b - 46*b. 3*b Collect the terms in 13186*b - 8358*b - 5014*b. -186*b Collect the terms in -6*w + w + 5*w - 435526*w**2 + 435525*w**2. -w**2 Collect the terms in -2019 + 4040 + 201*n + 215
{ "pile_set_name": "DM Mathematics" }
6 and 43. 43 What is the greatest common divisor of 396 and 13211? 11 Calculate the highest common factor of 67360 and 258915. 2105 Calculate the greatest common divisor of 161 and 20539. 23 Calculate the greatest common divisor of 155172 and 10452. 804 What is the greatest common divisor of 239 and 1897? 1 What is the highest common divisor of 183 and 28243? 61 What is the greatest common divisor of 12 and 3259644? 12 Calculate the greatest common divisor of 133 and 20085394. 133 What is the highest common divisor of 2149 and 800042? 307 What is the greatest common divisor of 5922 and 24066? 126 What is the highest common divisor of 749 and 910? 7 Calculate the greatest common factor of 16 and 187104. 16 What is the highest common divisor of 715 and 175747? 143 Calculate the greatest common divisor of 10872 and 55656. 72 What is the greatest common factor of 3483424 and 112? 112 Calculate the highest common divisor of 2198 and 812161. 1099 Calculate the greatest common divisor of 33201 and 3069. 279 Calculate the highest common divisor of 14994 and 24. 6 What is the highest common factor of 280 and 537400? 40 Calculate the highest common factor of 518 and 120953. 259 Calculate the highest common divisor of 5304 and 4992. 312 What is the greatest common divisor of 704 and 7360? 64 What is the greatest common factor of 19 and 374053? 19 Calculate the highest common divisor of 5198 and 9718. 226 Calculate the greatest common divisor of 566 and 594866. 566 Calculate the greatest common divisor of 332 and 96. 4 What is the highest common divisor of 64 and 5041952? 32 Calculate the highest common factor of 21230 and 2509. 193 What is the highest common factor of 238 and 1471554? 238 What is the highest common factor of 18042 and 9672? 186 What is the highest common factor of 7285 and 470? 235 What is the greatest common divisor of 1656 and 269376? 552 Calculate the greatest common factor of 4165 and 6035. 85 What is the highest common factor of 6162 and 1014? 78 What is the highest common factor of 1755 and 271080? 135 Calculate the highest common factor of 29376 and 1116. 36 What is the greatest common factor of 16 and 31016? 8 Calculate the greatest common divisor of 9024 and 33981. 141 Calculate the greatest common factor of 220032 and 27122. 382 What is the greatest common factor of 9792 and 787392? 576 Calculate the greatest common divisor of 1988 and 139244. 28 What is the highest common factor of 1681995 and 525? 105 Calculate the highest common factor of 1295 and 91. 7 Calculate the greatest common factor of 60 and 5974968. 12 What is the greatest common divisor of 216 and 16584? 24 Calculate the highest common factor of 4170 and 78210. 30 What is the highest common factor of 42 and 642936? 42 What is the highest common divisor of 14000 and 20440? 280 What is the highest common divisor of 296 and 218670? 74 Calculate the highest common divisor of 4158 and 675. 27 Calculate the highest common factor of 7 and 16231. 1 What is the highest common factor of 2100 and 322644? 84 Calculate the greatest common divisor of 14720 and 161. 23 Calculate the highest common factor of 24626 and 854. 14 Calculate the greatest common factor of 836 and 17765. 209 What is the greatest common factor of 30 and 306105? 15 What is the highest common factor of 78904 and 504? 56 Calculate the highest common factor of 38 and 2514. 2 Calculate the greatest common divisor of 123528 and 48. 24 What is the greatest common factor of 24897 and 9847? 43 What is the greatest common factor of 17724 and 4158? 42 Calculate the greatest common factor of 4841 and 5734. 47 What is the greatest common divisor of 72905 and 70? 35 What is the greatest common divisor of 288 and 3087504? 144 Calculate the highest common divisor of 3216 and 8643. 201 Calculate the highest common factor of 6315204 and 84. 84 Calculate the highest common factor of 12 and 326568. 12 Calculate the greatest common factor of 390 and 27080. 10 What is the highest common divisor of 15845 and 80? 5 What is the highest common divisor of 2032 and 7488? 16 Calculate the greatest common divisor of 48 and 1577136. 48 Calculate the highest common factor of 980703 and 9. 9 What is the highest common factor of 2414 and 9112? 34 What is the greatest common divisor of 119945 and 1127? 161 What is the highest common divisor of 791655 and 75? 15 What is the highest common divisor of 4040841 and 579? 579 What is the greatest common divisor of 2014 and 4558? 106 What is the greatest common factor of 2920 and 4600? 40 Calculate the greatest common divisor of 796 and 19303. 199 What is the highest common divisor of 31132 and 1448? 724 What is the highest common factor of 1582 and 642857? 113 Calculate the greatest common factor of 238 and 223006. 238 What is the highest common divisor of 224 and 566? 2 Calculate the highest common divisor of 1880 and 38728. 376 What is the greatest common divisor of 24 and 152088? 24 What is the highest common divisor of 78 and 2834? 26 What is the greatest common divisor of 14 and 235522? 14 Calculate the highest common factor of 469 and 11591. 67 What is the highest common divisor of 6 and 666486? 6 Calculate the highest common factor of 71629 and 23301. 863 What is the highest common factor of 6648 and 384? 24 What is the greatest common factor of 93375 and 603? 9 What is the highest common factor of 10 and 556590? 10 What is the greatest common factor of 16 and 168772? 4 Calculate the highest common factor of 3024 and 28647. 27 What is the greatest common divisor of 47852 and 140? 28 Calculate the highest common divisor of 88847 and 5412. 451 Calculate the greatest common factor of 72513 and 63. 63 What is the highest common divisor of 47907 and 9? 9 What is the greatest common divisor of 238628 and 15548? 676 What is the greatest common divisor of 52 and 12467? 13 What is the highest common divisor of 178405 and 775? 155 Calculate the greatest common factor of 152 and 9006. 38 What is the highest common divisor of 328 and 4346? 82 What is the highest common divisor of 120 and 480640? 40 What is the greatest common factor of 54272 and 1219? 53 What is the greatest common factor of 1346 and 278? 2 Calculate the greatest common factor of 4587 and 50171. 11 What is the highest common divisor of 696670 and 115? 115 What is the highest common divisor of 152 and 50388? 76 Calculate the greatest common divisor of 6214 and 52. 26 What is the greatest common divisor of 86 and 26918? 86 Calculate the highest common factor of 270 and 410. 10 What is the greatest common divisor of 2951 and 29737? 227 Calculate the highest common factor of 9 and 302397. 3 What is the highest common divisor of 13 and 90779? 13 Calculate the highest common divisor of 326 and 114589. 163 What is the greatest common divisor of 319 and 80881? 29 What is the highest common divisor of 6114619 and 233? 233 Calculate the highest common divisor of 53449 and 731. 43 What is the highest common factor of 184 and 19366? 46 What is the greatest common factor of 40 and 182584? 8 Calculate the greatest common factor of 711 and 292379. 79 Calculate the greatest common divisor of 22476978 and 18. 18 Calculate the greatest common divisor of 75 and 241975. 25 What is the greatest common factor of 1360299 and 519? 519 Calculate the greatest common factor of 260 and 125008. 52 Calculate the highest common factor of 5968 and 1168. 16 Calculate the highest common divisor of 11845 and 5819. 23 Calculate the highest common divisor of 51 and 356898. 51 Calculate the highest common divisor of 117781 and 19. 19 Calculate the highest common factor of 1759406 and 22. 22 Calculate the highest common divisor of 14386 and 38. 2 What is the highest common factor of 21 and 68103? 21 What is the greatest common factor of 31289 and 134? 67 Calculate the highest common divisor of 345501 and 27. 9 Calculate the greatest common divisor of 104 and 40888. 8 What is the greatest common factor of 17 and 1751? 17 What is the greatest common factor of 28022 and 2? 2 Calculate the greatest common factor of 2509 and 39. 13 Calculate the highest common divisor of 50 and 850. 50 Calculate the highest common divisor of 96 and 6288. 48 What is the highest common diviso
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {d: 5, a: 11}. 11/728 Calculate prob of sequence rkw when three letters picked without replacement from rphkvkkvvhwhhphpk. 1/1020 Four letters picked without replacement from {r: 3, i: 2, a: 7, m: 2, e: 1, c: 5}. What is prob of sequence mame? 7/58140 Two letters picked without replacement from rddtxxbt. Give prob of sequence dt. 1/14 What is prob of sequence xffz when four letters picked without replacement from xxxxzfxzzfz? 1/198 Two letters picked without replacement from {d: 1, n: 1, e: 9, z: 1}. Give prob of sequence nd. 1/132 Three letters picked without replacement from {r: 2, d: 2, v: 3, s: 1, y: 4, h: 2}. What is prob of sequence ddh? 1/546 What is prob of sequence fxo when three letters picked without replacement from {o: 1, x: 1, f: 2}? 1/12 Calculate prob of sequence hehh when four letters picked without replacement from ehheheeteeheeeeheeee. 7/969 Two letters picked without replacement from {i: 2, p: 1, w: 2, r: 1, u: 1, d: 1}. Give prob of sequence dr. 1/56 Calculate prob of sequence qlq when three letters picked without replacement from tjbtjtlbdtdddtqqld. 1/1224 Two letters picked without replacement from {p: 1, f: 1, a: 2}. Give prob of sequence pf. 1/12 What is prob of sequence bu when two letters picked without replacement from ebeesvsbbbu? 2/55 What is prob of sequence fi when two letters picked without replacement from {u: 5, i: 2, f: 1, h: 1, s: 5, z: 2}? 1/120 What is prob of sequence cp when two letters picked without replacement from pppcpppppppppppppppp? 1/20 Four letters picked without replacement from {u: 2, g: 1, y: 1, l: 2, f: 2, t: 1}. Give prob of sequence gflu. 1/378 Calculate prob of sequence ul when two letters picked without replacement from usssqlsfsrsrssu. 1/105 What is prob of sequence fq when two letters picked without replacement from {x: 6, q: 1, f: 12}? 2/57 Four letters picked without replacement from {b: 4, m: 8, j: 2}. Give prob of sequence bmbb. 8/1001 Calculate prob of sequence mime when four letters picked without replacement from pmmmmemeemzmimimmmmm. 13/1615 Calculate prob of sequence rr when two letters picked without replacement from {k: 3, f: 3, r: 2}. 1/28 Calculate prob of sequence rtti when four letters picked without replacement from gtigtiipiiirii. 2/3003 What is prob of sequence xxxf when four letters picked without replacement from ffxffffxxff? 1/165 What is prob of sequence pq when two letters picked without replacement from qpppqq? 3/10 Calculate prob of sequence qqq when three letters picked without replacement from {q: 3, e: 1}. 1/4 Four letters picked without replacement from vkvworro. Give prob of sequence orrv. 1/210 Three letters picked without replacement from {r: 2, i: 2}. What is prob of sequence rii? 1/6 Two letters picked without replacement from fvffvobfbvvvfvvvvf. What is prob of sequence fb? 2/51 Two letters picked without replacement from {e: 5, o: 3}. Give prob of sequence oe. 15/56 Two letters picked without replacement from {s: 6, d: 13}. What is prob of sequence ss? 5/57 What is prob of sequence qkqk when four letters picked without replacement from {r: 1, k: 1, q: 3}? 0 Two letters picked without replacement from {l: 4, h: 1, m: 2, b: 10}. What is prob of sequence mb? 5/68 Calculate prob of sequence rrii when four letters picked without replacement from rrriiiiirii. 7/110 Three letters picked without replacement from {h: 1, m: 3}. What is prob of sequence mmm? 1/4 What is prob of sequence dbd when three letters picked without replacement from {b: 3, d: 4}? 6/35 What is prob of sequence xjjz when four letters picked without replacement from {z: 3, j: 5, x: 2, s: 3, c: 2}? 1/273 Calculate prob of sequence ff when two letters picked without replacement from {a: 3, j: 7, f: 4}. 6/91 Calculate prob of sequence hc when two letters picked without replacement from {e: 1, u: 5, c: 2, h: 6, m: 1}. 2/35 Four letters picked without replacement from {r: 1, o: 1, x: 16}. Give prob of sequence roxx. 1/306 Three letters picked without replacement from {v: 1, d: 3, y: 4, q: 8, k: 3}. Give prob of sequence qvy. 16/2907 Calculate prob of sequence crqu when four letters picked without replacement from urrcuq. 1/90 Calculate prob of sequence bt when two letters picked without replacement from tbjbobbbcbbssbj. 4/105 Two letters picked without replacement from harsrwawsrthtr. What is prob of sequence rr? 6/91 Three letters picked without replacement from {z: 2, r: 2, k: 9}. Give prob of sequence zkz. 3/286 Three letters picked without replacement from {k: 1, c: 1, m: 1, x: 1, a: 1}. What is prob of sequence ckx? 1/60 Two letters picked without replacement from {w: 1, z: 4, c: 2, j: 2}. What is prob of sequence zj? 1/9 What is prob of sequence aim when three letters picked without replacement from mmimmanaamaammmmmsaa? 7/684 Two letters picked without replacement from {e: 2, q: 2, d: 2}. Give prob of sequence qd. 2/15 Calculate prob of sequence azxz when four letters picked without replacement from zxaxzxz. 3/140 What is prob of sequence ncnc when four letters picked without replacement from nncnncn? 1/21 Calculate prob of sequence yqgg when four letters picked without replacement from qgyqg. 1/30 Two letters picked without replacement from vzzzvyydadyz. What is prob of sequence az? 1/33 Four letters picked without replacement from {w: 5, q: 3, y: 4}. What is prob of sequence yqyw? 1/66 Four letters picked without replacement from {o: 2, a: 1, b: 1, p: 3}. What is prob of sequence pobp? 1/70 Calculate prob of sequence ggg when three letters picked without replacement from ggggggg. 1 What is prob of sequence ll when two letters picked without replacement from xlllxllllx? 7/15 Three letters picked without replacement from smibmmubibmbbxuxxbm. Give prob of sequence usu. 1/2907 What is prob of sequence mf when two letters picked without replacement from mmpfmfffmmmmff? 3/13 What is prob of sequence zz when two letters picked without replacement from {h: 1, f: 3, o: 6, z: 9}? 4/19 What is prob of sequence iniz when four letters picked without replacement from {v: 1, z: 1, n: 4, e: 3, k: 4, i: 5}? 1/918 What is prob of sequence bb when two letters picked without replacement from bbbbbb? 1 Calculate prob of sequence kn when two letters picked without replacement from {k: 7, n: 10, m: 1}. 35/153 Three letters picked without replacement from {j: 2, p: 6, u: 1, t: 2}. Give prob of sequence jjp. 2/165 Calculate prob of sequence tt when two letters picked without replacement from jjjtjtjjjjj. 1/55 Two letters picked without replacement from igiigiig. What is prob of sequence ii? 5/14 Three letters picked without replacement from {x: 1, s: 11, a: 6}. What is prob of sequence xss? 55/2448 Three letters picked without replacement from {k: 4, u: 10}. What is prob of sequence kkk? 1/91 Two letters picked without replacement from {y: 1, v: 2, a: 6, b: 2}. Give prob of sequence aa. 3/11 Calculate prob of sequence ww when two letters picked without replacement from {w: 3, b: 2, m: 1, g: 4}. 1/15 Two letters picked without replacement from {u: 4, b: 3, g: 4, k: 5}. What is prob of sequence gb? 1/20 Calculate prob of sequence on when two letters picked without replacement from ooonsssanis. 3/55 Calculate prob of sequence ktd when three letters picked without replacement from wqdkdqkt. 1/84 What is prob of sequence ampm when four letters picked without replacement from aaamampppmoaaaaaammu? 5/969 Three letters picked without replacement from {f: 5, e: 1, g: 3, b: 5, o: 1}. What is prob of sequence fof? 2/273 Four letters picked without replacement from aabybbyb. Give prob of sequence babb. 1/35 Four letters picked without replacement from {q: 3, s: 1}. Give prob of sequence ssss. 0 Three letters picked without replacement from ededoi. What is prob of sequence deo? 1/30 Calculate prob of sequence ze when two letters picked without replacement from {e: 1, z: 2, f: 1}. 1/6 Calculate prob of sequence eaa when three letters picked without replacement from xvvvxeaaxxavx. 1/286 Calculate prob of sequence ll when two letters picked without replacement from gvsllwe. 1/21 What is prob of sequence nay when three letters picked without replacement from {n: 1, x: 6, y: 6, r: 2, a: 2}? 1/3
{ "pile_set_name": "DM Mathematics" }
ob of picking 1 z and 1 n? 4/105 What is prob of picking 1 e and 1 a when two letters picked without replacement from apeappppppwepwwp? 1/30 Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {y: 1, b: 1, k: 2}. 1/6 Calculate prob of picking 3 x and 1 i when four letters picked without replacement from {i: 1, x: 2, a: 1, f: 2}. 0 Two letters picked without replacement from fapaaufauuafuppvfppp. What is prob of picking 1 p and 1 a? 3/19 Two letters picked without replacement from sxsxpppgkppsp. Give prob of picking 1 g and 1 x. 1/39 What is prob of picking 3 i and 1 k when four letters picked without replacement from kkkiiikikikikiikkii? 90/323 Calculate prob of picking 4 y when four letters picked without replacement from {y: 4, m: 2, s: 1}. 1/35 Four letters picked without replacement from {f: 3, i: 12}. Give prob of picking 3 f and 1 i. 4/455 Three letters picked without replacement from {w: 2, m: 8, d: 4}. What is prob of picking 1 m and 2 w? 2/91 Two letters picked without replacement from {x: 2, s: 2, d: 1, y: 1, k: 1, i: 1}. Give prob of picking 1 y and 1 k. 1/28 Two letters picked without replacement from {s: 6, e: 5, k: 2, p: 1, g: 3, x: 2}. What is prob of picking 1 e and 1 p? 5/171 Two letters picked without replacement from fdvpduqv. Give prob of picking 1 f and 1 v. 1/14 Calculate prob of picking 2 x when two letters picked without replacement from xuguunugxuggx. 1/26 Three letters picked without replacement from nmmmrkmckck. What is prob of picking 1 k, 1 r, and 1 n? 1/55 Calculate prob of picking 2 p when two letters picked without replacement from mogsmspmps. 1/45 Two letters picked without replacement from qexxezxxxzxxqzxzzu. Give prob of picking 1 u and 1 x. 8/153 What is prob of picking 2 y when two letters picked without replacement from yqoyy? 3/10 Two letters picked without replacement from {x: 1, c: 4, f: 1, y: 4}. Give prob of picking 2 y. 2/15 Calculate prob of picking 2 n and 1 g when three letters picked without replacement from ggnnnnggnnn. 28/55 What is prob of picking 2 m when two letters picked without replacement from mmaaggaggaaamt? 3/91 Three letters picked without replacement from {x: 2, p: 8}. Give prob of picking 2 x and 1 p. 1/15 Four letters picked without replacement from oaaoaaofofaaaoaoa. What is prob of picking 3 o and 1 a? 9/119 What is prob of picking 2 j and 1 c when three letters picked without replacement from cccccjcjccjjcj? 45/182 Two letters picked without replacement from yjnnffyyny. What is prob of picking 1 f and 1 n? 2/15 What is prob of picking 1 b, 1 d, and 2 o when four letters picked without replacement from {o: 2, k: 3, b: 3, d: 3, c: 5}? 9/1820 What is prob of picking 1 r and 1 p when two letters picked without replacement from {r: 5, j: 1, p: 3, v: 3}? 5/22 Four letters picked without replacement from raaatataaaraaaaaaata. What is prob of picking 2 r and 2 t? 1/1615 Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {n: 3, w: 1, s: 1, f: 2, h: 1, j: 3}. 3/55 Calculate prob of picking 1 t and 1 h when two letters picked without replacement from tthtttthtt. 16/45 Two letters picked without replacement from {u: 3, h: 2, n: 1, g: 1}. Give prob of picking 2 h. 1/21 What is prob of picking 1 t and 3 z when four letters picked without replacement from zzzzzzzttzzzztzz? 33/70 Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkkkkkrkkrkkrk. 28/57 What is prob of picking 1 d, 1 t, and 1 s when three letters picked without replacement from {t: 1, d: 3, z: 2, i: 6, s: 3}? 9/455 What is prob of picking 2 e when two letters picked without replacement from {e: 2, y: 1}? 1/3 Three letters picked without replacement from {r: 3, o: 2, w: 5}. Give prob of picking 1 r and 2 o. 1/40 Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {e: 4, t: 2, z: 2, b: 2}. 8/45 What is prob of picking 2 h when two letters picked without replacement from jqihjiqjhhhqhqhhqhih? 18/95 What is prob of picking 3 q and 1 z when four letters picked without replacement from {q: 3, z: 1, u: 3}? 1/35 Calculate prob of picking 1 y and 1 n when two letters picked without replacement from rnynnynyrn. 1/3 What is prob of picking 2 i and 2 c when four letters picked without replacement from iciicbcziiiizibccbc? 35/323 What is prob of picking 1 f, 1 u, and 1 z when three letters picked without replacement from bfuuzru? 3/35 Four letters picked without replacement from {k: 5, z: 2, p: 4}. What is prob of picking 4 p? 1/330 What is prob of picking 1 v and 1 k when two letters picked without replacement from vnnkv? 1/5 What is prob of picking 1 k and 1 j when two letters picked without replacement from {q: 8, v: 3, i: 3, k: 5, j: 1}? 1/38 Three letters picked without replacement from {v: 7, s: 12}. What is prob of picking 3 v? 35/969 What is prob of picking 1 p, 1 m, and 1 z when three letters picked without replacement from {i: 9, p: 5, z: 1, m: 1}? 1/112 Three letters picked without replacement from zzzzzzzzzztzztzt. Give prob of picking 3 t. 1/560 Three letters picked without replacement from {v: 3, q: 3, e: 5, w: 1}. What is prob of picking 1 v and 2 q? 9/220 What is prob of picking 2 p and 2 i when four letters picked without replacement from piiiiiiiiiiipppiii? 91/510 Three letters picked without replacement from aaaaaaaaaa. Give prob of picking 3 a. 1 Three letters picked without replacement from jtjtjttjjjjjt. Give prob of picking 3 j. 28/143 Three letters picked without replacement from gcrcccccrcccgcc. Give prob of picking 1 r and 2 g. 2/455 Four letters picked without replacement from haaahaahhaaaaaaaaa. What is prob of picking 2 h and 2 a? 91/510 Three letters picked without replacement from xygxyyxy. Give prob of picking 1 y and 2 x. 3/14 What is prob of picking 2 m when two letters picked without replacement from {c: 5, m: 3}? 3/28 Two letters picked without replacement from {i: 4, c: 2, w: 4, n: 8, f: 1}. Give prob of picking 2 c. 1/171 Three letters picked without replacement from {f: 5, o: 1, d: 5, j: 1}. Give prob of picking 1 o and 2 d. 1/22 Three letters picked without replacement from {p: 2, x: 5, t: 7, o: 4}. What is prob of picking 1 o and 2 x? 5/102 What is prob of picking 1 j and 1 i when two letters picked without replacement from {o: 1, i: 1, j: 1, k: 5, g: 10, h: 2}? 1/190 Four letters picked without replacement from nnnvvvvnnnvnvvnn. Give prob of picking 3 v and 1 n. 9/52 Two letters picked without replacement from {l: 2, c: 4, y: 1, a: 1, p: 1}. What is prob of picking 1 l and 1 y? 1/18 Three letters picked without replacement from {t: 2, v: 1, j: 4}. What is prob of picking 2 j and 1 v? 6/35 Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {p: 1, n: 11, j: 1}. 1/78 Two letters picked without replacement from xxxjxxxjjjjjxxxxjjj. What is prob of picking 2 x? 5/19 Two letters picked without replacement from {u: 1, d: 4, l: 1, w: 5, k: 3, h: 1}. What is prob of picking 2 w? 2/21 Two letters picked without replacement from thttttthhttttt. What is prob of picking 2 h? 3/91 What is prob of picking 2 e and 1 y when three letters picked without replacement from yeiiyyeiiiy? 4/165 Three letters picked without replacement from {n: 4}. Give prob of picking 3 n. 1 Four letters picked without replacement from hzzhhvhvpvzhzhhq. What is prob of picking 3 v and 1 p? 1/1820 Four letters picked without replacement from ysvsvyyvvvvsy. Give prob of picking 1 v and 3 y. 24/715 Two letters picked without replacement from mbb. What is prob of picking 2 b? 1/3 Calculate prob of picking 1 x and 1 k when two letters picked without replacement from xxxfkxk. 8/21 What is prob of picking 3 n and 1 b when four letters picked without replacement from {b: 2, n: 6}? 4/7 Calculate prob of picking 2 v when two letters picked without replacement from {v: 9}. 1 Three letters picked without replacement from lulluuuullllug. What is prob of picking 2 l and 1 g? 3/52 Three letters picked without replacement from {f: 5, e: 1, m: 2, b: 6, h: 2}. Give prob of picking 1 h, 1 f, and 1 e. 1/56 Two letters picked without replacement from yyykkkckyykyykkkcyk. What is prob
{ "pile_set_name": "DM Mathematics" }
m when three letters picked without replacement from qqqmqqqqqmqqqqqmqqqq? 1/1140 Two letters picked without replacement from {p: 5, f: 14}. What is prob of picking 2 p? 10/171 Calculate prob of picking 2 o when two letters picked without replacement from eeeeolneoooeleeool. 5/51 Two letters picked without replacement from {u: 10, r: 2, h: 6}. What is prob of picking 2 r? 1/153 What is prob of picking 2 g and 2 t when four letters picked without replacement from {g: 5, r: 1, t: 4, e: 3, l: 1}? 60/1001 Four letters picked without replacement from {b: 1, a: 1, i: 6, j: 5, f: 1, s: 3}. Give prob of picking 2 j and 2 i. 15/238 What is prob of picking 1 e, 1 k, and 1 x when three letters picked without replacement from exkelewlkewjkejjwl? 5/272 Calculate prob of picking 1 c and 1 q when two letters picked without replacement from {c: 1, d: 1, e: 1, q: 2, x: 2}. 2/21 Three letters picked without replacement from bdkyogoyb. Give prob of picking 1 o, 1 y, and 1 d. 1/21 Four letters picked without replacement from {n: 2, d: 3, v: 1, w: 3, p: 1}. What is prob of picking 2 w, 1 p, and 1 d? 3/70 Two letters picked without replacement from htddddffdfftdhffdf. What is prob of picking 2 h? 1/153 Calculate prob of picking 1 o and 2 w when three letters picked without replacement from wefhwocf. 1/56 What is prob of picking 1 q, 1 b, and 2 g when four letters picked without replacement from {b: 7, g: 7, s: 2, q: 3}? 147/1292 What is prob of picking 1 c and 2 x when three letters picked without replacement from {c: 1, x: 2, s: 4, p: 2, k: 6}? 1/455 Calculate prob of picking 2 h, 1 r, and 1 e when four letters picked without replacement from hehhreherhouurehe. 45/476 Three letters picked without replacement from {z: 1, j: 1, a: 1, q: 1, u: 2, c: 1}. What is prob of picking 1 z, 1 q, and 1 u? 2/35 Calculate prob of picking 1 a and 2 u when three letters picked without replacement from vuufmmammmmf. 1/220 Three letters picked without replacement from {k: 1, w: 18}. Give prob of picking 2 w and 1 k. 3/19 Three letters picked without replacement from uuuuuuuuwuuwwwuuuwuu. Give prob of picking 1 w and 2 u. 35/76 Calculate prob of picking 1 c and 2 y when three letters picked without replacement from cyyqqyyycaayqaayy. 7/85 What is prob of picking 4 o when four letters picked without replacement from {o: 12, a: 1, i: 1}? 45/91 Two letters picked without replacement from gjggggggmgggmgmg. Give prob of picking 2 g. 11/20 Two letters picked without replacement from eeeeexxeexxqee. What is prob of picking 1 x and 1 q? 4/91 Four letters picked without replacement from {b: 3, i: 4, w: 4, p: 1, u: 3, x: 5}. What is prob of picking 1 x, 1 b, and 2 w? 6/323 Calculate prob of picking 1 q and 2 m when three letters picked without replacement from mqmm. 3/4 Calculate prob of picking 2 j and 2 v when four letters picked without replacement from {n: 2, v: 7, j: 3, d: 8}. 21/1615 What is prob of picking 4 l when four letters picked without replacement from lllllll? 1 Four letters picked without replacement from {c: 9, o: 9}. Give prob of picking 4 c. 7/170 Four letters picked without replacement from {v: 3, e: 3, p: 4, b: 6, l: 3}. Give prob of picking 2 p, 1 v, and 1 b. 9/323 Two letters picked without replacement from nuzn. What is prob of picking 1 n and 1 u? 1/3 Calculate prob of picking 1 m, 1 g, and 1 k when three letters picked without replacement from ivggmkggv. 1/21 Calculate prob of picking 3 o when three letters picked without replacement from owooow. 1/5 Two letters picked without replacement from neetngtfnsfene. Give prob of picking 1 t and 1 s. 2/91 What is prob of picking 1 o, 1 h, 1 v, and 1 s when four letters picked without replacement from hhhhhossdhvhs? 21/715 Four letters picked without replacement from {m: 7, i: 2, b: 5, s: 3}. Give prob of picking 1 i, 2 s, and 1 m. 3/170 Calculate prob of picking 1 j, 2 n, and 1 v when four letters picked without replacement from jvnjnbrvvnv. 4/55 What is prob of picking 2 j and 2 e when four letters picked without replacement from jjjejjjjjjejjjjjje? 7/68 Four letters picked without replacement from {u: 4, n: 16}. What is prob of picking 2 u and 2 n? 48/323 What is prob of picking 1 b, 2 k, and 1 r when four letters picked without replacement from {b: 2, r: 7, k: 6}? 2/13 Two letters picked without replacement from yddyaotettdytttyy. What is prob of picking 2 t? 15/136 Three letters picked without replacement from {v: 1, g: 4, f: 1, x: 4, s: 1, b: 1}. Give prob of picking 1 x, 1 f, and 1 v. 1/55 What is prob of picking 2 l when two letters picked without replacement from {i: 1, o: 1, l: 18}? 153/190 Calculate prob of picking 3 c when three letters picked without replacement from pggpcccgcg. 1/30 Four letters picked without replacement from pqqqtzpttpppp. What is prob of picking 2 t, 1 z, and 1 q? 9/715 Calculate prob of picking 3 o and 1 t when four letters picked without replacement from {o: 7, t: 2}. 5/9 Two letters picked without replacement from {c: 1, z: 2, v: 2, p: 1, i: 10}. What is prob of picking 1 c and 1 v? 1/60 Three letters picked without replacement from mmmomooomhmhmmmo. Give prob of picking 3 m. 3/20 Calculate prob of picking 1 c, 1 o, and 1 r when three letters picked without replacement from {r: 3, c: 5, h: 5, e: 1, o: 5}. 25/323 What is prob of picking 1 o and 1 g when two letters picked without replacement from {a: 6, f: 1, o: 3, g: 3}? 3/26 Calculate prob of picking 1 y and 1 n when two letters picked without replacement from ddhnddyy. 1/14 Calculate prob of picking 2 y when two letters picked without replacement from {f: 14, y: 4}. 2/51 What is prob of picking 2 k and 1 p when three letters picked without replacement from {m: 2, k: 5, y: 2, p: 4}? 20/143 What is prob of picking 1 a and 2 m when three letters picked without replacement from {x: 3, f: 2, q: 1, k: 3, m: 2, a: 7}? 7/816 Three letters picked without replacement from {o: 2, h: 2}. Give prob of picking 2 o and 1 h. 1/2 What is prob of picking 3 k when three letters picked without replacement from {x: 1, k: 3, p: 1}? 1/10 Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {s: 1, n: 2, j: 3, z: 6}. 1/22 Two letters picked without replacement from {d: 2, b: 2, p: 5, a: 1, z: 4}. What is prob of picking 1 a and 1 p? 5/91 What is prob of picking 1 z, 1 a, and 1 f when three letters picked without replacement from afpzzggpppfpzpz? 8/455 What is prob of picking 1 s, 1 k, 1 c, and 1 f when four letters picked without replacement from ctssfksscdssts? 2/143 Two letters picked without replacement from {e: 3, p: 3}. What is prob of picking 1 p and 1 e? 3/5 Calculate prob of picking 2 m and 2 u when four letters picked without replacement from {u: 5, m: 7}. 14/33 Three letters picked without replacement from ggggaaa. What is prob of picking 2 a and 1 g? 12/35 Three letters picked without replacement from cvvckwvkkkcsicv. What is prob of picking 3 c? 4/455 Two letters picked without replacement from bybbrbrrgrubbbrrrby. What is prob of picking 1 y and 1 u? 2/171 Two letters picked without replacement from kxgck. Give prob of picking 1 k and 1 g. 1/5 What is prob of picking 2 m when two letters picked without replacement from mkkmmmmmkmmmkkmkmm? 22/51 What is prob of picking 1 g, 2 p, and 1 m when four letters picked without replacement from gzkzzzpgpm? 1/105 Three letters picked without replacement from yyyyyyyfyyyfyyyyyyy. What is prob of picking 1 y and 2 f? 1/57 Three letters picked without replacement from cyryvrzzrrrcyky. Give prob of picking 3 y. 4/455 Three letters picked without replacement from {n: 15, o: 2, v: 3}. Give prob of picking 1 v and 2 n. 21/76 Two letters picked without replacement from {q: 3, v: 1}. What is prob of picking 1 v and 1 q? 1/2 Three letters picked without replacement from eleellllll. Give prob of picking 1 l and 2 e. 7/40 Two letters picked without replacement from xaaxjxaaaqqjejjx. Give prob of picking 2 j. 1/20 Four letters picked without replacement from zyzyyyzzyzzzyy. What is prob of picking 3 y and 1 z? 35/143 Four letters picked without replacement from nwwnnnw. Give prob of picking 4 n. 1/35 Two letters picked without replacement from {p: 4, f: 5, l: 1}. Give prob of picking
{ "pile_set_name": "DM Mathematics" }
4 + sqrt(2)*2)**2 + 1). -25 - 6*sqrt(2) Simplify -1*(-4 + sqrt(14)/sqrt(2) + 1 + (sqrt(63)*-1)**2). -60 - sqrt(7) Simplify (sqrt(605)/(sqrt(1584)/sqrt(4)))/(2*(sqrt(1331) + 2*sqrt(1331) + sqrt(1331))). sqrt(5)/528 Simplify 0 + (-4*1*sqrt(95))/(sqrt(45)*2). -2*sqrt(19)/3 Simplify (-3*2*sqrt(192))/(sqrt(42)/(sqrt(14)/sqrt(2)) + sqrt(6) + sqrt(12)/sqrt(32)). -32*sqrt(2)/3 Simplify ((5 + sqrt(833) + 1)*-6*-4)**2*2. 96768*sqrt(17) + 1001088 Simplify ((sqrt(420)/(sqrt(36)/sqrt(3)))/(sqrt(7) - (sqrt(126)/sqrt(6) + sqrt(21))/sqrt(3)) + 0)**2. 5 Simplify ((sqrt(1872) + (1*sqrt(1872))**2)*-2 + sqrt(1872) - sqrt(1872) - (-1 + (sqrt(1872) + 0)**2)) + ((sqrt(1872)*-2 + -3)*6)**2. 5160*sqrt(13) + 264277 Simplify (-5*((-1 + sqrt(475))*1 + -3 + 4))**2. 11875 Simplify (sqrt(88) + 2*sqrt(88)*-1 + sqrt(88))/(sqrt(1152) - (sqrt(1152)*2 - sqrt(1152)) - sqrt(1152) - sqrt(8)). 0 Simplify (-2*-3*-1*((sqrt(170) - (-2*sqrt(170) + sqrt(170) - sqrt(170)))*-3)/(-2*sqrt(40)))**2. 12393/4 Simplify -5 + (sqrt(700) - (sqrt(700) + -2 + -4))**2 + -4*(-1 + -1 + sqrt(700))**2. -2785 + 160*sqrt(7) Simplify (1*(-4*sqrt(2268) - sqrt(2268)))/(3*sqrt(576)*-2). 5*sqrt(7)/8 Simplify -6*(3*sqrt(209)*-2)/(sqrt(396) - 2*sqrt(396))*-1. 6*sqrt(19) Simplify (((sqrt(1053) + 0)*3)**2 + (sqrt(1053) + (sqrt(1053) + 0)*1)**2 + sqrt(1053) + -2*(sqrt(1053) - (4*(0 + sqrt(1053))**2 + sqrt(1053))))*6. 54*sqrt(13) + 132678 Simplify (-4*sqrt(44)*-5)/(5*sqrt(484)). 4*sqrt(11)/11 Simplify (2*(sqrt(33)/sqrt(27) + -1) + -3)*3. -15 + 2*sqrt(11) Simplify 1*(-2*-3*sqrt(448)*3)**2. 145152 Simplify (1*(1 + sqrt(108)*2 + 1 + sqrt(108) + 5) + 1 + 3)**2. 396*sqrt(3) + 1093 Simplify (-6*(-4 + (sqrt(11) - (sqrt(11) + 0))) - 6*sqrt(44)*4)**2. -2304*sqrt(11) + 25920 Simplify (sqrt(22) - 1*2*sqrt(22))/sqrt(11) - ((sqrt(2) - (3 + sqrt(2) + -1)**2) + sqrt(2) + -1 + 3). sqrt(2) + 4 Simplify ((-4 + (sqrt(1700) - (sqrt(1700) - 1*sqrt(1700))))*-4)**2 + -1. -1280*sqrt(17) + 27455 Simplify (1*sqrt(78)/sqrt(2)*-6)/(sqrt(147)*-2*-1 - sqrt(147)). -6*sqrt(13)/7 Simplify -5 + (sqrt(1573) - (3 + (sqrt(1573) - -1*sqrt(1573)) - sqrt(1573))**2) + (-1 + sqrt(1573))**2 + -1. -77*sqrt(13) - 14 Simplify ((6*(sqrt(425) + 1 + sqrt(425)) + sqrt(68)/((sqrt(20)*1 - sqrt(20))/sqrt(5) - sqrt(4)))*5)**2. 17700*sqrt(17) + 1480325 Simplify (-1*(sqrt(7) - (sqrt(28) + 0 - sqrt(28) - sqrt(7))))**2 + (sqrt(28)/(sqrt(484)*-1))**2. 3395/121 Simplify -3*(sqrt(300) + (sqrt(300) - (sqrt(300) + sqrt(300)*-2 + sqrt(300))*-4))/((sqrt(216)/sqrt(4)*2 - sqrt(54)) + sqrt(54)). -5*sqrt(2) Simplify (sqrt(475)*1*1 + -4)**2 + sqrt(475) + (sqrt(475) - ((sqrt(475) - ((1 + sqrt(475) - sqrt(475)) + sqrt(475)) - sqrt(475)) + sqrt(475))**2*-1) + 0. -30*sqrt(19) + 492 Simplify 2*-3*((sqrt(1539)*-1 + 0)**2 + 5). -9264 Simplify (3*(-1 + 3 + 2 + -2*sqrt(7)))**2. -144*sqrt(7) + 396 Simplify (2*(sqrt(95) - sqrt(95)*3)*-5)/(-1*1*sqrt(5) - (sqrt(180)*2 - sqrt(180) - sqrt(5))). -10*sqrt(19)/3 Simplify (-2*-3*sqrt(91) + sqrt(91))/(sqrt(567)*1). 7*sqrt(13)/9 Simplify 4 + 2*(-3 + (sqrt(468) - (sqrt(468) + (sqrt(468) + -2)*-4)))**2 + 1. -1056*sqrt(13) + 15223 Simplify sqrt(18)/(2*sqrt(864)) + (sqrt(3456)*2 + sqrt(3456))/sqrt(8). 865*sqrt(3)/24 Simplify ((-3 + (1*sqrt(192) - sqrt(192)))**2 - (-1 + (1 + sqrt(192) - sqrt(192))))*2. 18 Simplify ((3*sqrt(162) + 0 - sqrt(162))*-3 + 1)**2*-4. -23332 + 432*sqrt(2) Simplify (((sqrt(10) - sqrt(30)/sqrt(3))*5)/(sqrt(98)*3))**2. 0 Simplify (sqrt(24)/(-1*sqrt(108)))**2 + 5*(sqrt(1250) + sqrt(50))**2. 81002/9 Simplify (sqrt(40)/((sqrt(64) - 1*sqrt(64))/sqrt(8) - sqrt(8)))**2 - ((sqrt(180)*-2)**2 - (sqrt(5) + 1)*6). -709 + 6*sqrt(5) Simplify (sqrt(2662) + sqrt(2662) + (sqrt(2662) - (sqrt(2662) - (sqrt(2662) + 1*sqrt(2662) + sqrt(2662)))*5))/(4*sqrt(32)*1)*6. 429*sqrt(11)/8 Simplify 1*(1*(5 + sqrt(176) + sqrt(176) + sqrt(11) + 2))**2. 126*sqrt(11) + 940 Simplify (3 + (3 + sqrt(1700) + 3 - (sqrt(1700) + -1)*6))**2. -1500*sqrt(17) + 42725 Simplify 5*((1 + sqrt(1331))**2 + sqrt(1331) + 0 + -1). 165*sqrt(11) + 6655 Simplify -1*(-4 + -4*(1*2*sqrt(56))/sqrt(8)) + 5. 9 + 8*sqrt(7) Simplify (-3*(-2*sqrt(693) + sqrt(693) - sqrt(693))/sqrt(11))/(sqrt(9) - (sqrt(729)*2 - sqrt(729)) - 3*sqrt(81)). -6*sqrt(7)/17 Simplify ((sqrt(153) - (sqrt(153) + -1 + 4) - sqrt(153))**2 - (sqrt(187)/sqrt(99) + (-1 + sqrt(17))*-5))*-4. -628 - 272*sqrt(17)/3 Simplify 2 + (-4*(sqrt(98)*2 + sqrt(98)) + 1 + (-5*sqrt(98)*-2 - ((sqrt(98) - sqrt(98)*-2) + -5)))**2. -420*sqrt(2) + 2488 Simplify 2*sqrt(17)*2 + -2*sqrt(68) - 6*-3*(sqrt(204) - (sqrt(204) + sqrt(204) + 1*sqrt(204)))/sqrt(12). -36*sqrt(17) Simplify -3 + 5*((sqrt(304) + -3 + 1 + sqrt(304))**2 - (-2*(sqrt(304) + -1) + sqrt(304))). -140*sqrt(19) + 6087 Simplify (-3*sqrt(176)*1 + (sqrt(176) - (1 + sqrt(176)) - sqrt(176)) + -2)**2*-1. -2825 - 96*sqrt(11) Simplify ((sqrt(99)*4 - sqrt(99))/sqrt(9)*-2 - (0 + sqrt(44)/(sqrt(4)*-4))) + 5. -23*sqrt(11)/4 + 5 Simplify (-6*(sqrt(171) + 0) - -3*sqrt(171)*-1)**2*3. 41553 Simplify (6*(1 + sqrt(5324))*1*-2)**2. 6336*sqrt(11) + 766800 Simplify (3*(4*sqrt(605) - sqrt(605)))**2*2*2*-6. -1176120 Simplify (-1*(sqrt(16) + sqrt(64)) + sqrt(64)*5)/((sqrt(24) + (sqrt(3456) - sqrt(3456)*-2))/sqrt(3)). 7*sqrt(2)/37 Simplify 6*(sqrt(7) + sqrt(84)/sqrt(48)) + -5 + -1 + sqrt(7) + -5*(sqrt(7) + 1). -11 + 5*sqrt(7) Simplify ((sqrt(6050) - (-5 + sqrt(6050) + 3))*2*-2)**2. 64 Simplify (1*(sqrt(190) - 4*sqrt(190)*1))/(3*(1*sqrt(110))/sqrt(11)). -sqrt(19) Simplify (-3 + 0 + sqrt(605) + 1*(sqrt(20) - sqrt(5)) + sqrt(320)*-1 + sqrt(10)/(sqrt(2) + sqrt(8)/sqrt(4)))**2. -27*sqrt(5) + 441/4 Simplify (sqrt(95) - -1*(-1*sqrt(95) + sqrt(95)))/((sqrt(15) - -4*sqrt(15))/sqrt(3)). sqrt(19)/5 Simplify ((sqrt(1088) + sqrt(1088) + -2*sqrt(1088))*3)**2 + -5 + -3. -8 Simplify 4 + ((sqrt(1008) - (4*(-2 + sqrt(1008)) + sqrt(1008)))*6)**2. -27648*sqrt(7) + 582916 Simplify sqrt(343) - (sqrt(343) + (sqrt(343) - -1*sqrt(343)) + 1) - (sqrt(343) + (0 + sqrt(343))*4). -49*sqrt(7) - 1 Simplify -4 + ((-5*sqrt(170)*-4 - sqrt(170)) + sqrt(170))/((sqrt(80)*1)/sqrt(8) + sqrt(10)). -4 + 10*sqrt(17) Simplify (sqrt(17) + 0)*-1 + sqrt(1700)*-1 - (-1 + (sqrt(17) + sqrt(51)/sqrt(3))**2 - (5*sqrt(153))**2). -11*sqrt(17) + 3758 Simplify (sqrt(51)/(sqrt(12)/sqrt(4)))**2 + sqrt(425)*-3 + sqrt(833)*-2 + sqrt(833) + -1 + -1. -22*sqrt(17) + 15 Simplify -3*(-3*sqrt(35)/(-5*sqrt(63)/sqrt(9)))**2. -27/5 Simplify (-5 + (sqrt(850)/sqrt(2) - (sqrt(17) - -1*sqrt(425))) + -5)**2. 20*sqrt(17) + 117 Simplify 0 + 5*(sqrt(180)/(-2*sqrt(10) + sqrt(10)) + sqrt(18))/(sqrt(9) + (sqrt(108)*-2)/sqrt(12)). 0 Simplify (sqrt(720)/(sqrt(12) + (sqrt(588)*-2 - sqrt(588))))/((sqrt(36) - sqrt(1764)*1)/sqrt(3)). sqrt(5)/120 Simplify (sqrt(468) - sqrt(468)*-1)*2 - (1 + sqrt(1300) + -4 - sqrt(1300) - sqrt(1300))**2. -1309 - 36*sqrt(13) Simplify ((sqrt(228) - sqrt(228)*3)*3)/(sqrt(144)/(sqrt(12)*-3)). 18*sqrt(19) Simplify ((-4*(4*1*sqrt(170) + sqrt(170)))/((-5*2*sqrt(70))/sqrt(7)))**2. 68 Simplify ((sqrt(72)*2)/sqrt(4))/(sqrt(9) + sqrt(1089)*4). 2*sqrt(2)/45 Simplify (-4 + (sqrt(448) + 1 + sqrt(448) + 5 + (sqrt(448) + 2)*1)*1)**2. 192*sqrt(7) + 4048 Simplify 5 + (5 + sqrt(136)/sqrt(8))**2 + 2 + 4. 10*sqrt(17) + 53 Simplify (-2 + sqrt(847) + 0 + sqrt(847) + sqrt(847) + 1 + 1 + sqrt(28)/sqrt(4))**2*5*-5. -202300 Simplify (-1*sqrt(143)*-1 + (-1*sqrt(143) - sqrt(143) - sqrt(143))*3)/((sqrt(539) + sqrt(539)*2)*-5 + sqrt(539) + sqrt(539)). 8*sqrt(13)/91 Simplify (sqrt(7) + sqrt(252)*-3)*6 - ((3*sqrt(42))/sqrt(6) + 4). -105*sqrt(7) - 4 Simplify (sqrt(133)/(sqrt(14)/sqrt(2))*5 + 3 + sqrt(19) + sqrt(19) + -1 + -3)**2 + 4 + -4. -14*sqrt(19) + 932 Simplify -3*(-4 + (sqrt(1872) - (sqrt(1872)*-1)**2)) - (-3 + -1*sqrt(1872) + 5)**2. 12*sqrt(13) + 3752 Simplify (3*(sqrt(20))**2 + sqrt(5) + sqrt(5) - (2*sqrt(80))**2)*2 + ((sqrt(25)*-1)/sqrt(5) + sqrt(5) - ((0 + sqrt(245))**2 - sqrt(245)))*6. -1990 + 46*sqrt(5) Simplify (sqrt(1300)*-4*-4 + sqrt(117)*3*4)**2. 499408 Simplify -5*(sqrt(2448) - (sqrt(2448) - sqrt(2448)*3))**2 - (-1 + sqrt(68)/sqrt(4) + (sqrt(17) - (0 + sqrt(1377))**2)). -108782 - 2*sqrt(17) Simplify ((-2*sqrt(1008) - sqrt(1008)) + sqrt(1008) + sqrt(1008))/(3*sqrt(9)*1) - (-3 + sqrt(56)/(-1*sqrt(2)))**2. -37 - 40*sqrt(7)/3 Simplify 3*sqrt(27)/(-2*sqrt(144) + sqrt(144)) + (-4*sqrt(147) - (
{ "pile_set_name": "DM Mathematics" }
d) - 10*d - 4493 - 4481 + 8979)*(3*d**2 - 6*d**2 + d**2). 2*d**3 - 10*d**2 Expand (5*m + 0*m - 3*m + 17)*(-3*m - 6*m + 6*m)*(2*m + 3*m - 2*m)*(3 + m - 3). -18*m**4 - 153*m**3 Expand 2*m - 4*m + 0*m - 2 + 2*m + 2 + (3 - 2 + 3)*(3 + 2*m - 3) + (1 + 2 - 4)*(2*m - 4*m + 0*m) + m - 3*m + 4*m + 19*m + 14 - 14. 31*m Expand (-1494*s - 32 - 1502*s + 2976*s)*(6 - 4 + 0). -40*s - 64 Expand (-1265*a + 771*a + 666*a + 7)*(3 - 1 - 1). 172*a + 7 Expand (-5*c - c + 16*c)*(-c**2 + c**2 + 2*c**3) + c**3 + c**4 + 10*c**3 - 3*c**3 + 10*c**4 + 110*c**2 - 110*c**2. 31*c**4 + 8*c**3 Expand (l**3 + 33*l**2 - 33*l**2)*(-16*l**2 + l**2 + 42*l**2) + 4*l**4 - 4*l**4 - 10*l**5. 17*l**5 Expand (-3*s + 0*s + 4*s)*(-3 + 0 + 4) - 1687*s - 763*s - 793*s. -3242*s Expand (q**2 - q + q)*((-4 + 4 - q)*(4 + 24 - 6) + 17 - q - 17)*((-5 + 7 + 5)*(-8 + 2 + 2) + (-1 - 1 + 0)*(-2 + 3 + 1)). 736*q**3 Expand (3*c**2 + 0*c + 0*c)*(-215 + 895 + 1357)*(-2*c + 3*c + c). 12222*c**3 Expand (n**2 - 3*n**2 + n**2)*(-n + 0*n + 3*n) + 20420*n**2 + 20420*n**2 - 40842*n**2 + 408*n**3. 406*n**3 - 2*n**2 Expand (0*p**3 + 4*p**3 - 3*p**3)*(427 - 1199 - 248)*(0 - 4 + 3). 1020*p**3 Expand -6*i**3 - 21*i**2 + 21*i**2 + (3*i**2 + 4 - 4)*(78 - 17 - 29)*(-4*i + 0*i + 5*i) + 3*i**3 + 0*i**3 + i**3. 94*i**3 Expand (-u**2 + 2*u**2 + u**2)*(2584*u**2 - 3786*u**2 + 3412*u**2). 4420*u**4 Expand 392*j**2 - 392*j**2 - 149*j**3 + (j + 0*j - 2*j)*(7*j**2 - 3*j**2 - 3*j**2). -150*j**3 Expand (-2*h + 6*h + 0*h - h - 2*h + h + (-1 - 2 + 2)*(-2*h + 2*h - 2*h) + 0*h + h + h - 5*h + h + 3*h)*(0 - 4 + 0)*(-6 + 0 + 5)*(2*h**3 + h**3 + 0*h**3). 60*h**4 Expand -c**2 + 2*c**4 - 3*c**4 + 3*c**2 + (-1 - 7 + 5)*(-2*c**3 + 3*c**4 + 2*c**3) + 6*c**4 - 4*c**2 + 4*c**2. -4*c**4 + 2*c**2 Expand (127326 - 127326 + 309*l + 242*l)*(-1 - 4 - 4). -4959*l Expand (47 + 88 - 68)*(11 - j - 11)*(-4 + 0 + 3). 67*j Expand (209*g - 207*g + 1202 - 623)*(-g + 2*g - 3*g)*(-1 + 4 - 2). -4*g**2 - 1158*g Expand 242*w - 165*w - 221*w + (-1 + 1 + 6*w)*(-5 + 1 + 3) + (-2 + 1 - 1)*(-2*w + 4 - 4) + 4*w + w - 2*w. -143*w Expand ((1 - 1 - 2*v)*(-63 - 41 - 90) - 3 - 2*v + 3)*(-19*v + 0*v - 17*v). -13896*v**2 Expand (4*x**2 - 2*x**2 + 0*x**2)*(-2*x + x - x + (x + 3*x - 3*x)*(5 + 0 - 4) + 4912*x - 602104 + 602104). 9822*x**3 Expand -2*k**5 - k**5 + 4*k**5 - 5*k + 5*k - 5*k**5 + 0*k**5 - 2*k**5 + k**5 + (k**4 - 4*k**4 - 3*k**4)*(-9*k + 4*k + 22*k). -107*k**5 Expand (j + 2 - 6*j - 3*j + (11*j + 0*j + 6*j)*(1 + 3 - 2))*(2 - 2*j**3 + 0 + 4*j**3) + (3*j + 0*j - 2*j)*(-2 + j**3 + 2). 53*j**4 + 4*j**3 + 52*j + 4 Expand (2 + 0 - 1)*(-h + 3*h - h) + (-303 + 147 - 571)*(h + h - 3*h). 728*h Expand (2 - 2 + m**4)*(2*m - 3*m - 2*m) - 18658*m**5 + 9736893*m**3 - 9736893*m**3 + (2*m**2 - m**2 + 0*m**2)*(2 - 2*m**3 - 2) - 4*m**5 + 5*m**5 - 3*m**5. -18665*m**5 Expand -741*b**3 + 552127 + 4*b**2 - 552127 + (-1 - 2*b + 1)*(-2*b**2 + 0*b**2 + b**2). -739*b**3 + 4*b**2 Expand 9 - 4*q**3 - 9 + (0*q**2 + q**2 + 0*q**2)*(-66*q - 109*q + 21*q). -158*q**3 Expand (-3*g + 0*g + 2*g)*(-216 + 2079 + 383)*(4 - g - 4 + 1) + (2 - 2 + 2)*(-2*g**2 + 3*g**2 - 3*g**2). 2242*g**2 - 2246*g Expand (t**2 + 0*t**2 + 0*t**2)*(-7437 + 31878 + 15554 + 384 + 22704). 63083*t**2 Expand (-176 - 246 - 14*c**2 + 419 - 47*c**3)*(-2*c**2 - 2*c**2 + 3*c**2). 47*c**5 + 14*c**4 + 3*c**2 Expand (2*q**2 - 4*q**2 + 0*q**2)*(0 - 1 - 1)*(-5*q + q + q)*(-2*q + 2*q + 4*q)*(-11 + 55 - 7). -1776*q**4 Expand (4*t + 1 - 1)*(10*t - 12*t - 2*t) - 2*t**2 - t**2 - 12*t**2. -31*t**2 Expand (-l + 1 - 1)*(0*l**4 - l**4 - l**4) + (-8*l**5 + 18*l**5 - 3528*l**2 + 3692*l**2)*(2 - 5 + 5). 22*l**5 + 328*l**2 Expand (u + u - 3*u)*(5609*u**2 - 46*u**3 - 5609*u**2) + (2*u**3 + 0*u + 0*u)*(0*u + 0*u - u). 44*u**4 Expand (-6*d + 0*d + 0*d)*(-2*d - 51*d + 9*d) + (4*d**2 - d**2 - 4*d**2)*(67 + 79 - 156). 274*d**2 Expand (2937 + 1159 - 303 + 4506 + 18086)*(4 - 2 - 3)*(-2*r + 1 - 1). 52770*r Expand (16*v**4 - 6*v + 6*v)*(2*v - 1 + 1) + (-121*v**3 + 576 - 576)*(4*v + 3 - 3)*(-4*v + 2*v + v). 516*v**5 Expand -b + 6*b + 2*b + (0 - 3 + 1)*(-2281 + 68*b + 2281) + (0 + 0 - 2*b)*(0 + 2 + 1) - 2*b + 1 - 1 + (3 + 2*b - 3)*(-3 - 1 + 6) + 3 - 3 + 2*b. -131*b Expand (-45*g - 208*g + 8 + 195*g)*(1 - 1 + g). -58*g**2 + 8*g Expand (3*x + 0 + 0)*(-920 + 1070 - 557 + 2889) + (-1 - 2 + 1)*(-1 + 1 - 2*x). 7450*x Expand (-3 + 17 + 15 + 17)*(6*j + j**3 - 6*j + (1 - 3 + 0)*(-55*j**3 + 12*j**3 + 17*j**3)). 2438*j**3 Expand -v + 3*v - 4*v + (4*v + v - 2*v + 1)*(2 - 3 + 3)*(65 - 340 - 41). -1898*v - 632 Expand (-4 - 1 + 3)*(-690*v + 535*v + 398*v) + 4*v + 7 - 7 - 3*v + 2*v + 3 - v. -484*v + 3 Expand (-2 + 3 + 31 + (-4 - 2 + 7)*(3 + 3 - 5))*(84*r + 171 - 171) + r - r - r + 0 - 3*r + 0. 2768*r Expand (-29 + 10*u + 29)*(-6*u - 3 + 3*u + 46*u)*(-5 + 3 + 4 + 3*u). 1290*u**3 + 770*u**2 - 60*u Expand -2*u - u**5 + 4*u**2 - 4*u**2 + (0*u**3 - 2*u**3 + 0*u**3)*(-73*u**2 - 57*u**2 - 6*u**2) + 18*u - 18*u + 2*u**5. 273*u**5 - 2*u Expand ((-2 + 0 + 4)*(h + h + 0*h) - h + 2*h - 6*h)*(19 - 5 + 1)*(-2*h**4 + 0*h**4 + h**4) - 110*h + 33*h**5 + 110*h. 48*h**5 Expand (0 + p + 0)*(0 + 2 + 0) - 22*p - 2*p + p + (2*p - 4*p + 3*p)*(2 + 3 - 4) - 2*p - 2 + 2 + 12*p + 20*p + 5*p. 15*p Expand (-650 - 709 + 1229)*((-4 - 4 + 6)*(0*m + m - 3*m) - 2*m - 2*m + 5*m). -650*m Expand -b**2 + b**2 - 2*b**2 + (-2 + 1 + 3)*(b**2 - 5*b**2 + 3*b**2 + (0*b + 6*b - 4*b)*(16*b + 35*b - 30*b)). 80*b**2 Expand (s**2 - 2*s**2 - s**2)*(-3*s**2 - s**2 + 13*s**2) + (0 + 0 + s**3)*(-113*s + 1530 - 1530). -131*s**4 Expand (-5*q**3 + 4*q**3 + 0*q**3)*(-7*q - 223 + 5*q + 4*q + (3*q + q - 5*q)*(-3 + 1 + 0) + 4*q - 3*q + q). -6*q**4 + 223*q**3 Expand (-21*x**4 + 15*x**4 - 18*x**4)*(2 - 2 - 1 + (-4 + 2 + 1)*(2 - 4 + 0) - 1 - 1 + 0 + (4 - 4 + 23)*(-3 + 0 + 2)). 576*x**4 Expand (-18*d - 177*d - 19*d)*(-5*d**2 - d**2 + 2*d**2)*(2*d + 4*d - 5*d). 856*d**4 Expand (-2 + 2 - 20*b)*(0 - 2 + 4)*((4 - 3 - 3)*(-b + 2*b - 2*b) - 4*b + b + 0*b). 40*b**2 Expand (-7 + 17 + 17)*(34 + 4 - 6)*(3*u + 2 - 2) + 0*u - 4*u + 2*u. 2590*u Expand (1 - 383 - 18)*(-14 + 2*g + 21 - 7). -800*g Expand (12 + 3 + 2*g - 5)*(5 - 30 - 33). -116*g - 580 Expand (-4 + 4 + 2*z)*(-3*z + 6*z - z) - z**2 - 2*z**2 + 2*z**2 + (-3 + 3 - 2*z)*(-6*z + z + 3*z) + 42*z**2 + 35*z**2 + 12*z**2. 96*z**2 Expand (0*n**2 - n**2 - 2*n**2)*(-2498*n**2 - 16243833 + 16243833). 7494*n**4 Expand -20*o + 46 + 50 - 102 - o + 0*o + 2*o + (-5 + 3 + 4)*(5 + o - 5). -17*o - 6 Expand (-6 - 2 + 1)*(0*h**4 + 3*h**5 + 0*h**4 + (-3 + 3 + 2*h**3)*(h - h - h**2) - 480 + 138 + 3175*h**3 + 2*h**5 - 3176*h**3). -21*h**5 + 7*h**3 + 2394 Expand ((-3 + 2 + 2)*(-l + 0*l + 0*l) - 9*l + 998 - 998 + 68*l + 15*l - 26*l)*(-l**2 + 4*l**2 - l**2). 94*l**3 Expand (-1484*g + 735*g - 651 + 746*g)*(0*g**3 - 6*g**3 + 5*g**3). 3*g**4 + 651*g**3 Expand -n**3 + 0*n + 0*n + (358 + 554 + 163)*(5*n**3 - 5*n**3 + 2*n**3). 2149*n**3 Expand (-4*b**2 + 3*b**2 + 3*b**2)*(5124*b - 60*b**3 - 5124*b)*((0 + 1 + 1)*(-5 - 1 + 0) - 2 + 2 + 2). 1200*b**5 Expand (106*u - 4526 + 4526)*(-1 + 4 + 1)*(-1 - 4 + 3 + (-1 - 2 + 5)*(-2 - 2 + 5) + 3 + 0 - 2 - 4 + 6 + 3)*(-3 + u**3 + 3). 2544*u**4 Expand -2*q + 0*q + 0*q + (q - 3 + 3)*(0 - 4 + 1) - 1 - 2*q + 1 + 0*q + 17*q + 2*q - 12 - 5*q + 12. 7*q Expand (l + 4 - 4)*(3*l - 3*l + 2*l) + (-4*l**2 - 159 + 159 + 3*l)*(3 + 5 + 4) + l - l - 2*l**2 + 2*l**2 - 2*l**2 - 2*l**2 + (-l + 0*l - 4*l)*(-3*l + l + 3*l). -55*l**2 + 36*l Expand (-2*s**4 + 4*s**3 - 4*s**3)*(-1244 + 1244 + 55*s) - 78*s**4 + 78*s**4 + 8*s**5. -102*s**5 Expand a**2 + 4*a**2 + 2*a**2 + (a**2 + a - a)*(48 - 21 + 158). 192*a**2 Expand (-2*w**2 + 2 - 2)*(-386*w + 2903*w**2 + 757*w - 371*w). -5806*w**4 Expand -4*p + 2*p + 0*p + (-62 - 43*p + 42 + 26)*(6 + 0 - 1). -217*p + 30 Expand (-2 - 3 + 1)*(74 - 12 + 3989*i - 3992*i). 12*i - 248 Expand (-t**4 - 2*t**4 + 5*t**4)*(t + 0*t + t) + 27 + 1318*t + 34*t**5 - 1329*t - 30*t**5. 8*t**5 - 11*t + 27 Expand (-h + 3*h - 2 + 0*h)*(66 - 41 - 89)*(-10 + 136 + 58). -23552*h + 23552 Expand 9539532*v**2 - 9539532*v**2 - 217*v**4 + (-2 - v**2 + 2)*(2*v**2 - 1 + 1). -219*v**4 Expand 2*f + 0*f - 4*f + (-3 - 2 + 3)*(3*f + 2*f - 3*f) - 3*f - 1 + 1 + (-f - 3 + 4*f + 1)*(-1 - 2 + 1 + (3 + 0 - 2)*(-2 - 1 + 2) + 198 + 24 - 47). 507*f - 344 Expand 3*j**3 - 3*j**3 + 2*j**4 + (2*j**3 - 3*j**3 - j**3)*(1448 - 2921 - 20
{ "pile_set_name": "DM Mathematics" }
1344683 a prime number? False Is 458281207 a composite number? False Is 40511989 a composite number? True Is 14182739 prime? True Is 8511578 a composite number? True Is 4240181 a prime number? False Is 4470307 a composite number? True Is 60248509 composite? False Is 13984111 prime? True Is 366913 a prime number? False Is 34246757 a composite number? False Is 5811933 a prime number? False Is 196619635 composite? True Is 72793771 composite? False Is 57630503 a composite number? True Is 4613423 a composite number? False Is 9284123 prime? False Is 4346159 a prime number? False Is 9240941 a composite number? True Is 1076388781 composite? True Is 4827359 prime? True Is 21102317 a composite number? True Is 118684927 a composite number? False Is 3356887 composite? False Is 1483985 prime? False Is 48642187 a prime number? False Is 68638057 composite? False Is 2507117 a prime number? False Is 7128757 a composite number? True Is 76455121 composite? False Is 1639849 a prime number? True Is 595052483 prime? True Is 509897 composite? True Is 105423779 a composite number? False Is 19071827 prime? True Is 128865565 a composite number? True Is 266373313 a prime number? True Is 89239571 a prime number? True Is 673423 prime? False Is 35927789 a composite number? False Is 15981873 composite? True Is 302084593 prime? True Is 17851283 composite? False Is 3991747 a composite number? False Is 2379017 a prime number? False Is 4192339 a prime number? True Is 3483197 a composite number? True Is 5047951 a composite number? False Is 283745249 a prime number? False Is 3113963 a composite number? False Is 878528089 composite? True Is 66215329 prime? True Is 7230689 a prime number? False Is 37579147 prime? True Is 31737631 a prime number? False Is 2614543 composite? True Is 28226803 prime? False Is 297175811 a prime number? True Is 309797 a prime number? True Is 538157251 prime? True Is 12016931 prime? True Is 2513521 prime? False Is 8385863 a prime number? True Is 111332869 composite? True Is 12701317 a prime number? True Is 58798169 a prime number? True Is 8909807 prime? True Is 4221823 composite? True Is 17553181 a prime number? True Is 7104871 prime? False Is 116684563 composite? False Is 239037059 prime? True Is 37803919 a composite number? True Is 181111127 a composite number? False Is 3557903 composite? False Is 160237585 prime? False Is 290690749 a composite number? False Is 110548205 composite? True Is 2900533 composite? False Is 46163659 a composite number? False Is 277553937 a composite number? True Is 24018019 a composite number? False Is 48486595 a prime number? False Is 6961057 a prime number? False Is 6309043 composite? True Is 8836013 a composite number? False Is 910757 a composite number? True Is 197160449 a prime number? True Is 1138363 a prime number? True Is 5448713 a prime number? True Is 1708277 prime? False Is 4431989 a prime number? True Is 51095806 a composite number? True Is 9732257 composite? True Is 21725543 composite? True Is 76387877 composite? False Is 499957 a composite number? False Is 5801797 composite? False Is 2853269 a composite number? False Is 10142833 a prime number? False Is 61394773 a composite number? True Is 230083 composite? True Is 12555311 composite? False Is 308725577 a composite number? False Is 43073591 a composite number? True Is 4741571 a composite number? True Is 6887339 composite? False Is 458457 a prime number? False Is 58740557 composite? True Is 65014043 prime? True Is 268316663 a composite number? False Is 4658023 prime? False Is 43108883 composite? True Is 100116307 a composite number? True Is 75371781 a prime number? False Is 717127 composite? False Is 1640539 a composite number? False Is 52303079 a prime number? False Is 37668797 a composite number? False Is 7033451 prime? True Is 320441729 a composite number? False Is 2122583 composite? True Is 16089761 a composite number? False Is 961757 a prime number? True Is 132718109 a composite number? True Is 3634349 prime? False Is 7990057 a prime number? True Is 2036569 a composite number? False Is 7713635 a prime number? False Is 14346737 composite? False Is 35015041 a composite number? True Is 144511007 composite? False Is 17328841 a prime number? True Is 3289141 prime? True Is 50207869 composite? False Is 1551785 composite? True Is 8290967 prime? True Is 3877399 composite? True Is 1526755 a prime number? False Is 6713039 a prime number? True Is 13599409 prime? True Is 29837939 a composite number? False Is 2189477 composite? False Is 1418587 a composite number? True Is 77800039 a composite number? False Is 112053671 prime? True Is 239249 composite? True Is 12957109 a prime number? False Is 20491223 prime? True Is 9921053 composite? False Is 10659179 a composite number? False Is 1214319 a prime number? False Is 269043 prime? False Is 2498019 a prime number? False Is 75203609 composite? True Is 27559837 prime? False Is 789077 prime? True Is 73728857 prime? True Is 37181373 composite? True Is 200743 composite? True Is 974341 a prime number? False Is 49279003 a composite number? True Is 230334791 a composite number? True Is 256539 composite? True Is 9427181 a prime number? True Is 41313397 composite? False Is 121957613 a composite number? True Is 11687077 prime? True Is 8742134 composite? True Is 7510389 composite? True Is 127977821 a prime number? False Is 576818803 composite? True Is 79859291 composite? False Is 344567 a prime number? True Is 158759197 a prime number? True Is 1721333 composite? True Is 97328029 composite? False Is 52844223 prime? False Is 16962791 composite? True Is 12448417 a composite number? False Is 11535067 composite? False Is 39015163 composite? True Is 5137651 prime? True Is 46689473 a prime number? False Is 8952981 prime? False Is 152450971 a prime number? True Is 57274339 prime? True Is 739527 a prime number? False Is 1949619499 a composite number? False Is 385109557 composite? True Is 32113671 a composite number? True Is 57934199 composite? True Is 5454877 composite? False Is 14454629 a prime number? False Is 266484811 a composite number? True Is 11100341 prime? False Is 25371877 a prime number? False Is 434332313 composite? True Is 3390518 composite? True Is 6074617 a composite number? False Is 42850799 a prime number? False Is 4530769 composite? True Is 998961 a composite number? True Is 71158911 composite? True Is 133974129 a prime number? False Is 7746511 a prime number? True Is 6292399 a prime number? False Is 30698507 a prime number? False Is 44507293 a composite number? False Is 171471953 a composite number? False Is 1961317 a composite number? True Is 38925011 composite? False Is 296980459 a composite number? False Is 500723953 prime? True Is 162100819 prime? True Is 27646331 prime? True Is 65164639 a composite number? False Is 1495364969 a composite number? True Is 334776443 prime? False Is 67600199 a composite number? True Is 1485461 composite? False Is 580717 composite? False Is 1279357 prime? True Is 19961471 composite? False Is 884749 composite? True Is 366449 composite? True Is 3015953 composite? True Is 117191147 a prime number? False Is 83391569 a prime number? True Is 18520571 prime? False Is 481903 prime? False Is 6436699 prime? True Is 32645749 a composite number? False Is 6237877 composite? False Is 26852407 prime? True Is 508699 composite? True Is 3448619 a prime number? False Is 13725473 a composite number? False Is 2055121 composite? False Is 44992349 composite? False Is 61476617 a prime number? True Is 6772723 a prime number? True Is 166029203 a composite number? True Is 26770963 a prime number? True Is 23872591 prime? True Is 700361 a composite number? False Is 3226627 prime? False Is 22801483 a composite number? False Is 31671859 prime? True Is 26803691 composite? True Is 6356377 composite? False Is 44945129 a prime number? True Is 66575471 a prime number? False Is 4671749 prime? True Is 1021532353 a composite number? False Is 20759717 composite? True Is 34270751 prime? True Is 21250331 a prime number? True Is 889241 a prime number? False Is 128473181 a prime number? True Is 36975299 a prime number? True Is 12620729 prime? False Is 258641903 composite? True Is 29431799 composite? False Is 48899629 composite? True I
{ "pile_set_name": "DM Mathematics" }
ite? True Is 413333 prime? False Is 3163 composite? False Is 1397 a composite number? True Is 7963 prime? True Is 534965 composite? True Is 651821 composite? False Is 8521 a composite number? False Is 157 a prime number? True Is 881177 composite? True Is 1567 a prime number? True Is 570715 a prime number? False Is 18269 a composite number? False Is 172243 composite? False Is 713 a prime number? False Is 9073 prime? False Is 3817 composite? True Is 1551259 a prime number? False Is 73407 a composite number? True Is 16601 prime? False Is 479641 a composite number? True Is 164221 a composite number? True Is 29713 a prime number? False Is 35669 a composite number? True Is 13049 a prime number? True Is 50633 a composite number? True Is 24646 a composite number? True Is 716263 composite? True Is 2406035 a prime number? False Is 68947 a prime number? True Is 6999 a composite number? True Is 2886743 a composite number? False Is 491743 composite? True Is 236609 prime? True Is 32093 a composite number? True Is 4547 a composite number? False Is 801359 prime? False Is 447985 composite? True Is 15143 a prime number? False Is 9521 composite? False Is 3389 prime? True Is 427601 prime? False Is 613 prime? True Is 623351 a prime number? True Is 5973535 a prime number? False Is 7765 a prime number? False Is 21929 a prime number? True Is 24721 a prime number? False Is 10903 a prime number? True Is 37139 prime? True Is 173929 prime? False Is 161629 a prime number? False Is 22147 a composite number? False Is 875477 a prime number? True Is 31829 prime? False Is 1563 a prime number? False Is 122021 composite? False Is 4265 a prime number? False Is 732329 prime? False Is 9961 prime? False Is 1259 prime? True Is 239839 prime? False Is 213383 a composite number? False Is 57887 prime? False Is 2355799 prime? True Is 4751 a prime number? True Is 21767 prime? True Is 4847 a prime number? False Is 2985287 prime? True Is 770619 a prime number? False Is 409217 a prime number? True Is 74135 prime? False Is 87439 a composite number? True Is 6349 a composite number? True Is 211007 a prime number? True Is 6218 a composite number? True Is 712157 a prime number? True Is 468883 a prime number? True Is 152695 a prime number? False Is 62519 prime? False Is 453373 a composite number? True Is 246397 a prime number? False Is 142649 prime? False Is 34761 a composite number? True Is 250141 a composite number? True Is 7447 a composite number? True Is 106903 a prime number? True Is 147077 prime? False Is 36745 composite? True Is 220423 a composite number? True Is 5557 prime? True Is 11558 a composite number? True Is 122803 prime? False Is 57637 a composite number? False Is 12778 prime? False Is 22677 prime? False Is 58523 prime? False Is 250793 a composite number? False Is 2213 prime? True Is 36241 a composite number? False Is 207395 prime? False Is 3407759 composite? True Is 32267 a prime number? False Is 1537 a composite number? True Is 307 prime? True Is 28345 prime? False Is 3661 a composite number? True Is 126833 a prime number? False Is 1031399 prime? True Is 34649 prime? True Is 36209 prime? True Is 479309 composite? False Is 6049 a composite number? True Is 119347 prime? False Is 4661 a prime number? False Is 78983 a composite number? True Is 3155 a composite number? True Is 11629 prime? False Is 1733 a prime number? True Is 787427 a prime number? True Is 6997 composite? False Is 53709 composite? True Is 113281 prime? False Is 79969 prime? False Is 159097 a composite number? False Is 256429 a composite number? True Is 273479 composite? True Is 79 a prime number? True Is 23459 a composite number? False Is 4602803 composite? False Is 721097 prime? False Is 1422637 a composite number? False Is 945881 a composite number? False Is 1401 a prime number? False Is 979 composite? True Is 1123671 prime? False Is 249703 a composite number? False Is 558947 composite? False Is 101027 a prime number? True Is 9767 a prime number? True Is 148151 composite? False Is 13738 composite? True Is 128321 a composite number? False Is 57871 a prime number? False Is 24257 composite? True Is 97213 prime? True Is 1821 composite? True Is 763829 a prime number? False Is 67477 composite? False Is 1543 prime? True Is 744493 a composite number? False Is 996537 prime? False Is 3433 a composite number? False Is 93419 a composite number? False Is 146347 composite? False Is 55067 a prime number? False Is 379 prime? True Is 2005319 a composite number? False Is 8894 composite? True Is 6257 prime? True Is 323123 a composite number? False Is 14719 prime? False Is 1115 a composite number? True Is 27449 a composite number? False Is 13553 prime? True Is 80111 a prime number? True Is 259151 a composite number? False Is 10133 a composite number? False Is 37322 a prime number? False Is 241181 a composite number? True Is 167309 composite? False Is 19049 a composite number? True Is 85471 a prime number? False Is 686869 a prime number? False Is 465347 a prime number? False Is 1642 prime? False Is 200227 a prime number? True Is 1119 prime? False Is 129841 composite? False Is 97979 prime? False Is 148327 composite? True Is 548629 a composite number? False Is 176369 a composite number? False Is 77711 a composite number? False Is 5882797 prime? True Is 4841 a prime number? False Is 194963 a composite number? False Is 28459 composite? True Is 557701 prime? False Is 3738853 a composite number? False Is 755137 a prime number? True Is 7817 a prime number? True Is 18137 a prime number? False Is 210415 prime? False Is 496946 composite? True Is 280569 a prime number? False Is 114451 a composite number? False Is 41621 a prime number? True Is 5303 prime? True Is 2501 a prime number? False Is 19911 a prime number? False Is 188273 prime? True Is 7311 a prime number? False Is 224563 prime? True Is 2331299 prime? True Is 225799 prime? False Is 379699 composite? False Is 43721 prime? True Is 78613 prime? False Is 27887 prime? False Is 17795663 composite? False Is 769565 composite? True Is 516397 a composite number? True Is 226231 a composite number? False Is 3543 composite? True Is 26777 prime? True Is 3109 prime? True Is 30079 a composite number? True Is 521 composite? False Is 78059 composite? False Is 25151 a composite number? True Is 5737 prime? True Is 12491 composite? False Is 317321 a prime number? True Is 17657 a prime number? True Is 2251 a prime number? True Is 68993 composite? False Is 20467 prime? False Is 19271 prime? False Is 99523 a composite number? False Is 619471 a prime number? True Is 393059 prime? True Is 3967 a prime number? True Is 285017 prime? False Is 102397 prime? True Is 33107 a composite number? False Is 16183 a composite number? False Is 35833 prime? False Is 20441 prime? True Is 1777907 composite? False Is 309286 composite? True Is 649234 a prime number? False Is 230929 a composite number? False Is 7003 a prime number? False Is 55997 a prime number? True Is 1304003 composite? False Is 6557 prime? False Is 42235 a prime number? False Is 32127 a prime number? False Is 1973 a composite number? False Is 4603 prime? True Is 477073 composite? False Is 192091 a prime number? True Is 312929 a composite number? False Is 1817 prime? False Is 894638 composite? True Is 60859 prime? True Is 655 composite? True Is 73399 composite? True Is 120853 a composite number? True Is 21557 a prime number? True Is 218003 prime? True Is 235 a composite number? True Is 573 prime? False Is 1156921 composite? True Is 869521 prime? True Is 9239 a composite number? False Is 496609 a composite number? False Is 5794 a prime number? False Is 226741 prime? True Is 539339 a prime number? True Is 293633 prime? True Is 11441 a prime number? False Is 21941 a prime number? False Is 510809 composite? True Is 121301 a composite number? True Is 186493 a prime number? False Is 218293 a composite number? True Is 36443 a prime number? False Is 38397 a composite number? True Is 1282343 a prime number? True Is 33127 prime? False Is 15013 a composite number? False Is 41889 a prime number? False Is 960737 prime? True Is 37217 a composite number? False Is 195193 a prime number? True Is 3754 composite? True Is 410929 a prime number? True Is 80777 composite? False Is 24
{ "pile_set_name": "DM Mathematics" }
9 - -3519) -62 Evaluate (-27)/14*1*((-1)/6)/(36/144). 9/7 Evaluate (-158)/(-6)*(-1121 - -1118). -79 (-38)/(88 - 25511/291) -114 What is ((-4800)/(-128) - 30)*24/(-162)? -10/9 Calculate ((-492)/(-1312))/((-3)/(-34))*(9 - 13). -17 Calculate ((36/(-100))/(-9))/((847/55)/11). 1/35 What is ((-7)/((-1008)/(-8)))/((-12)/2808)? 13 Calculate (81 + -15)/(((-510)/(-4845))/((-8)/(-114))). 44 What is 988/(-13) + (-6 - 17) + 32? -67 Evaluate 4 - 9/(5/130*56) - (-12)/(-168). -1/4 What is the value of (-10)/(-7)*7840/800 + -46? -32 What is the value of (1242/(-155) - (7 + -15))*-5? 2/31 Evaluate 13 + -2217*(-15)/(-2565). 2/57 Calculate 35/1 - (-3 - (-696)/203 - (-198)/(-21)). 44 Calculate (11*(-1064)/(-1848)*(-9)/(-6))/(-4). -19/8 (-385*78/(-1716))/(1/2*-5) -7 What is the value of 67*207/(-124821)*(-18)/(-39)? -2/39 What is the value of -3 + 163/4 + 85/((-6460)/133)? 36 Evaluate 351/(-4472) - ((-1)/12)/(378/567). 2/43 Evaluate 5300/3180 + 0 + -2 + 86/(-12). -15/2 What is ((-10)/(-3))/(-5)*(-74)/(-1776)? -1/36 Evaluate (147/2 - (-1173)/391)*(-4)/3. -102 Evaluate 7 + ((-152)/(-2280) - (-2318)/(-780)*-1) - 10. 1/26 Calculate (12/1)/(2/8 - (-10115)/1428). 18/11 What is the value of (-85 - 9)/((-17)/51*6)? 47 What is the value of 25/(8075/(-34)) - 24/4104? -1/9 Calculate ((-35168)/(-11304))/(2/(-18)). -28 Calculate ((-24855)/4965 + 5)/(11/11). -2/331 What is ((-12)/(-5))/(60753/(-57860))? -16/7 Calculate (38/(-30) - ((-4)/6)/((-355)/213))*-1. 5/3 12/(-8)*((-47430)/135)/(-31) -17 Evaluate ((-744)/(-84))/(-3 - (-4)/(-56)*-44). 62 Evaluate (4/((-16)/(-141)))/(67/((-5092)/(-57))). 47 Evaluate 2/(-15 + (-3652)/(-244)). -61 What is (58/290)/(-6 - 2*((-6)/12 + 2))? -1/45 What is (15/(-30))/(23/6*(-14)/(700/75))? 2/23 What is the value of (-7 + 16 - -5)*17/(14161/(-14))? -4/17 What is ((-663)/(-442))/((-111)/(-1262)) - 17? 2/37 What is the value of (-252)/(-260)*5 + 6/(-5)*5? -15/13 Evaluate (152/(-2470))/(2/365) + (-513)/(-2223). -11 Calculate ((-2)/5 - 2584/(-10))/(-36 + 75 + -37). 129 What is 60/(-16) - 9582/(-2568)? -2/107 (-27)/90 - ((-219)/(-365))/(28/(-10)) -3/35 What is 32*81/(-648)*2/124? -2/31 Calculate 0 + 4899/(-368) + 9 + 4. -5/16 What is the value of 13 + ((-1638)/52)/(-63)*(-284)/10? -6/5 What is (((-2847)/65)/73)/(-3 - -1)? 3/10 What is the value of (8/75)/((-3 + 1)*(-664)/1660)? 2/15 What is ((-11359)/307 + 2 + 34)/((-1)/(-43))? -43 Calculate (-185)/11 + 75/((-1575)/(-357)). 2/11 Calculate (1550/5208)/(10/(-7))*12/(-15). 1/6 What is (10584/63720 + 2/59)*-1? -1/5 What is the value of (9/6*2)/((-967)/(-10637))? 33 Evaluate (-45)/((-8820)/(-56))*14/(-33). 4/33 Calculate 34 - -6 - (-23)/((-575)/1375). -15 Calculate (267716/(-18879))/17 - 2*(-3)/7. 2/87 Calculate (15/99)/(2405/(-20202)). -14/11 Evaluate ((-1992)/16434)/(4/18). -6/11 What is the value of (-12423)/(-28413)*-224 - ((-340)/(-165) + -2)? -98 What is 147*(-11)/(-154)*(355/35 - 7)? 33 What is ((-55)/132)/(65/312*3)? -2/3 What is 126/4 + 45/18? 34 Calculate (5607/(-29370) + (-2)/(-22))/(124/30 - 4). -3/4 Calculate 24/(-78) + 147591/(-3627). -41 (-10 - (12 - 31) - (-396)/(-45))/(-7) -1/35 Calculate (-19)/(969/663) - (-350)/27. -1/27 Evaluate 23 + (-4700)/200 + (120 - -1)*(-1)/2. -61 What is 15/((2/16)/(46/1104)*12/(-108))? -45 (60/190)/((-1632)/(-228)) 3/68 What is -4 + (-891)/(-324)*(-14)/(-11) + 51/90? 1/15 What is the value of 31/((-53475)/56787) + (-10)/125*1? -33 What is the value of (-128)/2 - ((-144)/8 + -2)/(-80 - -76)? -69 Calculate 1707/6259 + (-993)/3399. -2/103 What is the value of -4*-10*(-42)/(-240)? 7 Calculate (34/51)/(9*(-27)/10206). -28 What is (2/40)/(97 + (-105270)/1100)? 1/26 What is ((-1)/(-2))/1*28/(-434)? -1/31 Evaluate 37 + (-111483)/1296 + 49. -1/48 5 + 15/25*(-10 - 0) + (-22491)/(-22869) -2/121 130963/(-706)*(-46)/(-161) -53 ((-245)/1911)/(126/546) -5/9 What is the value of (-155 - 242041/(-1596)) + (-65)/(-20)? -2/21 Calculate 4 + 1 - (-13 + 5848/306). -10/9 Calculate 144/192*(-6)/15. -3/10 What is the value of 1/2*4 - 444/204? -3/17 2*(28 + 2788/(-41)) + 41 -39 What is the value of 9/(2/(-2)) + (-252 - -54 - -275)? 68 Calculate (-407)/222*(-132)/(-3267). -2/27 What is (-37926)/24381*4/(-14)? 4/9 What is (135/(-45))/((-450)/(-1500) - (-33)/(-85))? 34 What is ((-48)/39)/4*1 - (126 - (-358918)/(-2821))? 12/13 Evaluate -24*(155867/4108 + -38). 18/13 What is the value of 6061/165*1224/7752? 29/5 What is the value of 7462/623 + -11 - (-491 + 492)? -2/89 What is the value of (315/2310)/(748/363 - 2)? 9/4 (-1285328)/14740 + (-3)/(-15) -87 2848/(-1157) - (-168)/273 -24/13 What is the value of (-1258)/(142 - 68) - (-1069)/63? -2/63 What is the value of 77/15939*69*-87? -29 ((-1083)/1064)/((-16)/((-6336)/27)) + 16 15/14 Evaluate 5/((-330)/268) + 2811 + -2798 + -3*3. -2/33 (-310)/9 + (-7314)/46 + 197 32/9 What is (32300/(-228) - -67) + 72? -8/3 What is ((-102)/1972)/(45/6940) - (2 - (-2 + 12))? 2/87 35 - (-6)/4*(-46)/(-897)*182 49 What is -1 + 98/21*3 - 268/20? -2/5 Calculate (-17 - 962/(-52))/(55/2)*(-10)/2. -3/11 Evaluate 144/(-96)*(-6 - 456/(-18)). -29 Evaluate (-35)/22*22/(-154)*(-8)/50. -2/55 What is (-4 - 93/(-15)) + 3164*(-44)/62480? -2/71 Calculate ((-315)/(-6))/(42120/(-416) + 100). -42 Evaluate (-7)/119*29410/36330. -1/21 Evaluate 26 - ((-36)/(-99) + (-40740)/(-1584)). -1/12 Evaluate (-6)/(-25) - 1091696/4949150. 2/103 (-65 + 37)/(((-8)/(-14))/(18/(-42))) 21 36/15*7/(-2)*-1*(-18)/(-54) 14/5 Calculate 3/(-29) + (-195779)/(-1193379). 2/33 Evaluate (-30 - -98) + 746850/(-10985). 2/169 -17*(-33)/(-3366) + 1*(-301)/(-2310) -2/55 Calculate (-8 - 30) + 464*195/2808. -52/9 What is the value of ((-2)/64*14)/((-140)/2240) + (-396)/(-4)? 106 (-168148)/(-18288) + (297/4)/(-11) 22/9 (3810/40 - 96)*(-124)/3 31 Evaluate (-5 - 2/(-2))*(2628/(-5913) - (-382)/900). 2/25 What is the value of 134199/(-17732) - (-1)/11*-2? -31/4 What is 6*(-6)/63*847/1210 + (-327)/(-780)? 1/52 What is the value of (9 - ((-57226)/(-6390) - 8/(-18)))/2? -1/5 (-98)/(190 + -180 + -6*8/4) 49 What is (8*(-1)/(-32))/(26/16 + (-8)/(-16))? 2/17 What is the value of ((-1449)/54)/(-23)*(-11648)/2548? -16/3 47 + 26240/(-246) + 57 -8/3 What is (-934794)/(-897699)*11/7? 18/11 Calculate (-36)/30 - -2 - (54/18 + (-4631)/55). 82 What is (-1)/(530/(-90) + 6) + -12*36/27? -25 Evaluate (-51 - 30660/(-600))/7. 1/70 What is the value of (1763/344)/(396/495 + 54/(-80))? 41 What is (-22 - 27816/(-1264))/(1/(-4) - 0)? -2/79 What is 51524/11710*680/(-44)? -68 (184/(-506))/(80/(-88)) 2/5 125/6 - ((4 - (-552)/(-115)) + (-98)/(-60)) 20 (-1208)/9060 - (541/(-120) + 0) 35/8 What is the value of ((-1524)/(-50292))/(6/(-11))*18/16? -1/16 What is the value of (9/4)/(-36*85/(-680))? 1/2 Calculate (((-1056)/15)/8)/(80/(-400)). 44 Evaluate (5 - 1) + ((-45)/(-3150)*28)/(254/(-2530)). 2/127 Calculate (19/15)/(102/8721) - (-6)/(-20). 108 Evaluate (-16)/(-3)*24852/(-3488). -38 What is the value of 69792/(-15994) + (-8100)/110? -78 Calculate (49764/297)/(-13) - -14. 10/9 (-296)/(-111) + 304/48 9 Evaluate 23435/(-56680) - 3/(-78). -3/8 ((-1372776)/(-24340))/((-3)/5) -94 Calculate (-205)/246*((-15)/6 + 38/95). 7/4 Calculate 1 - ((-5 + 6)*-2 + (-2584)/(-855)). -1/45 Calculate (276/(-378))/((-18)/135) + (-25)/175. 16/3 7/(441/242) + 112/(-288)*96/(-84) 30/7 (1764/27 - 64) + 50/(-15) -2 What is (-22)/(-121)*(((-364)/(-65))/(-7) - (-36)/20)? 2/11 What is -2581*(-38)/16530 - ((-80)/6)/(-4)? 13/5 Calculate (-4)/(-94)*(-24)/(-4)*(-131)/786. -2/47 What is the value of (17/(-3))/(-17)*(-5358)/(-38)? 47 What is -194*((-4)/3 - (-26598)/14508)? -97 What is the value of (-209736)/(-475790) - (696/1015 - (-4)/(-14))? 2/49 What is the value of (11 + (-1547)/143)*(-1617)/98? -3 Evaluate ((-68)/17 + 16/(-192)*-32)*(-114)/8. 19 Calculate (-5)/(-115) + (-55161)/1011609. -2/181 What is ((-20)/160)/(6/240)*(-2 + 1)? 5 What is the value of 5810/50 - (142 + -26)? 1/5 (-308)/(-42)*-3 + (-102)/(-5) -8/5 What is 216/(-28)*(-406)/3393? 12/13 Calculate ((-795)/66 + (-6)/10*-20)*(-2 + 26). -12/11 Calculate 16/(-28)*((184 - 265) + 69). 48/7 What is the value of 20 + -4 - 15 - (-9 + ((-1218)/(-93) - 3))? -3/31 What is the value of (-1)/(135/(-720)*(-8)/6) - (60 + -17)? -47 Calculate 16 - (-5 + 2665/455)*(-7)/(-3). 14 Evaluate (-12)/234*12 + (-575890)/(-8645). 66 (12/(-14))/((-2 + -
{ "pile_set_name": "DM Mathematics" }
-5*l**3 - 6*l**2 + 8*l - 6. Suppose 24 = -0*j + 4*j. Let q be (-1)/(-3*(-2)/6). Let w(h) = -h**3 - h**2 + h - 1. Give j*w(x) + q*o(x). -x**3 - 2*x Let p(w) = w**2 - 5*w - 3. Let r(l) = -6*l**2 - 7*l - 11. Let m(f) = -2*f**2 + f - 1. Let u(n) = 4*m(n) - r(n). Let q = -44 + 41. Give q*u(k) - 7*p(k). -k**2 + 2*k Let q(v) = 5*v**3 - 4*v**2 - 11. Let k(y) = 6*y**3 - 5*y**2 - 12. Give 4*k(l) - 5*q(l). -l**3 + 7 Suppose -60 = 88*g + 380. Let j(u) = -5*u - 4 - 2*u**2 + 2*u - 3*u**2. Let o(w) be the first derivative of 2*w**3 + 2*w**2 + 5*w + 1. Calculate g*j(l) - 4*o(l). l**2 - l Let y(i) = 4*i**2 + 6*i + 10. Suppose 0*c = 3*c - 15. Let f be (1 - 3)*91/(-14). Let q = 20 - f. Let m(a) = -3*a**2 - 4*a - 7. What is c*y(w) + q*m(w)? -w**2 + 2*w + 1 Let o(p) = p**2. Let h(f) = -7*f**2 + 15*f - 2. Calculate -h(v) - 5*o(v). 2*v**2 - 15*v + 2 Let g(h) = -h**2 - 9*h + 5. Let v be (56/112)/(1/(-4)). Let i(l) = l**2 + 4*l - 2. Let z(t) = -t + 1. Let u be z(6). What is u*i(m) + v*g(m)? -3*m**2 - 2*m Let g(d) = 3*d - 47. Let c(q) = q - 16. What is 11*c(s) - 4*g(s)? -s + 12 Let u be 2 + (-3)/(-9) - (-4)/(-3). Let j(n) = -5*n**2 - 6*n - 4. Let c(k) = k**2 + k + 1. Calculate u*j(b) + 6*c(b). b**2 + 2 Let z = -1122 + 1139. Let m(s) = -3*s**3 + 11*s**2 + 6*s - 17. Let a(k) = -k**3 + 4*k**2 + 2*k - 6. Give z*a(g) - 6*m(g). g**3 + 2*g**2 - 2*g Let w(v) = 27*v**2 - 2*v + 6. Let h(q) = -9*q**2 + q - 2. Calculate -8*h(f) - 3*w(f). -9*f**2 - 2*f - 2 Let r(h) = 63*h - 192*h + 6*h**2 + 66*h + 61*h - 8. Let p(g) = -2*g**2 + g + 3. Determine 8*p(c) + 3*r(c). 2*c**2 + 2*c Let a(p) = -12*p**2 + 4*p - 4. Let j(o) be the third derivative of o**5/60 - o**4/24 + o**3/6 - 187*o**2. What is a(x) + 4*j(x)? -8*x**2 Let i(y) = 10. Let q(o) = 94*o - 42. Give 4*i(a) + q(a). 94*a - 2 Let v(u) = 16*u + 16. Let p(d) = -3*d - 3. Let c(n) = -4*n. Let k be c(0). Suppose 2*w + 10 = 3*j, 0 = -k*j - 4*j - 16. Determine w*p(o) - 2*v(o). o + 1 Let d(j) be the second derivative of -35*j + 4/3*j**3 + 0 + 7/2*j**2. Let n(p) = p + 1. Give 2*d(c) - 14*n(c). 2*c Let v(q) = 6*q**2 + 4*q - 1. Let p(x) = -8*x**2 - 4*x + 2. Let y(o) = 2*p(o) + 3*v(o). Let r(h) = 3*h**2 + 5*h + 1. Determine 4*r(i) - 5*y(i). 2*i**2 - 1 Suppose 2*z - 64 + 4 = 0. Let d = 36 - z. Let l(c) = -c. Let t(v) = 3*v. Give d*t(p) + 17*l(p). p Let k(j) = -j - 1. Suppose -10*x = -5*x - 200. Suppose 3*b + 37 = x. Let i(f) be the third derivative of f**4/12 + f**3/6 - f**2. What is b*k(u) + i(u)? u Let r(k) = k**3 - k**2 + 1. Let x = -32 - 4. Let o be (-1 - 28/x) + 33/27. Let n(b) = 2*b**3 - 3*b**2 + 1. Give o*r(w) - n(w). -w**3 + 2*w**2 Let d(z) = -128*z**2 - 5*z + 2. Let w(l) = 257*l**2 + 14*l - 5. Calculate -5*d(j) - 2*w(j). 126*j**2 - 3*j Let k(o) = -2*o - 5. Let n be k(-5). Let x(i) = i**2 - 3*i. Suppose -13 - 2 = 5*c. Let p(u) = 2 - 2 - 87*u + 170*u + u**2 - 88*u. Calculate c*p(s) + n*x(s). 2*s**2 Let n(z) be the first derivative of -z**2 + 2*z + 11. Let v(d) = d**3 - d + 1. Calculate n(b) - 2*v(b). -2*b**3 Let x(a) = -a + 9. Let d(l) = -19 - 2 + 5*l + 1 - 15. What is 2*d(y) + 9*x(y)? y + 11 Suppose f - 5*k = -0*f + 24, 3*f + 5*k = -28. Let n(y) = -3*y - y**2 + 6*y + 0*y**2 + 2*y**2 + 4*y**3 + 2. Let d(g) = -g**3 - g - 1. Give f*n(i) - 3*d(i). -i**3 - i**2 + 1 Let u(h) = -10*h**3 - 5*h**2 + 2*h + 2. Let q(p) = -10*p**3 - 5*p**2 + 3*p + 3. What is -2*q(j) + 3*u(j)? -10*j**3 - 5*j**2 Let z(m) = 10*m + 1139. Let y(u) = 3*u + 379. Calculate -7*y(k) + 2*z(k). -k - 375 Let l(t) be the third derivative of -7*t**4/24 + 65*t**2. Let z(j) = j. Determine -6*l(c) - 35*z(c). 7*c Let f(i) = i. Let z(r) = 851*r**2 + 5106*r. Give -5106*f(o) + z(o). 851*o**2 Let g = 12 + -38. Let l = -29 - g. Let h(s) = -4*s - 2. Let d(q) be the first derivative of 3*q**2/2 + 2*q + 2. What is l*d(n) - 2*h(n)? -n - 2 Let t(i) = 3*i**3 + i**2 - 4*i. Let f(n) = n**3 - n. Let c(x) = x**2 - 29*x + 191. Let l be c(19). Determine l*t(j) - 4*f(j). -j**3 + j**2 Suppose 30 = w + 18. Let n(y) = 8*y**2 - 12*y. Let r(s) = s**2 - 1. Let b(o) = 2*o**2 + o - 3. Let z(d) = -b(d) + 3*r(d). Calculate w*z(x) - n(x). 4*x**2 Let f(r) = -3*r**3 - 38. Let o(t) = 2*t**3 + 38. What is 3*f(z) + 4*o(z)? -z**3 + 38 Let u(g) = -g - 1. Let j(s) = 114*s**2 + 171*s + 171. What is 2*j(k) + 342*u(k)? 228*k**2 Let c(l) = -l**2 - l - 1. Let x(s) be the third derivative of 0*s + 13*s**2 + 0 - 1/8*s**4 - 1/3*s**3. Give -c(y) + x(y). y**2 - 2*y - 1 Let d(l) = 3*l**2 + 5. Let c(z) = 7*z**2 + z + 11. Suppose -1 = 12*v - 61. Determine v*d(q) - 2*c(q). q**2 - 2*q + 3 Suppose 0*l = l. Suppose l = 2*f - 9 - 5. Suppose -12 = -5*w + f*w. Let d(h) = -6*h**2 - 5. Let k(q) = 7*q**2 + 6. What is w*d(b) - 5*k(b)? b**2 Let w(c) = -925*c + 17. Let x(a) = -307*a + 6. Calculate 6*w(l) - 17*x(l). -331*l Let t(v) = -v. Let j(g) = -4*g + 1. Let d(u) = 2*j(u) - 6*t(u). Let s(x) = -2*x + 2. Let a be 6/(-27) + (-56)/(-9). What is a*d(o) - 5*s(o)? -2*o + 2 Let b(x) = 239*x**3 - 6*x**2 - 6*x + 6. Let s(n) = -104682*n**3 + 2629*n**2 + 2629*n - 2629. Calculate -2629*b(i) - 6*s(i). -239*i**3 Let x be (-7 - (-153)/12) + (-4)/(-16) + -2. Let q = 5 - 2. Let l(d) = 5*d**2 + 6*d + 4. Let a(t) = -4*t**2 - 5*t - 3. What is q*l(b) + x*a(b)? -b**2 - 2*b Let q be (-2)/14*(-2 + -9 + 4). Let f(h) = -63*h - 54. Let n(t) = t + 1. What is q*f(p) + 54*n(p)? -9*p Let p(r) = 11*r. Let u = 28 - 25. Suppose 4*w + 2*k = 16, -2*k = -2*w + 4*w - 4. Let c(v) = 2*v - w*v + 3*v + 4*v. What is u*p(f) - 12*c(f)? -3*f Let g(p) = -202*p - 3. Let a(d) = -d + 1. Determine 4*a(s) + g(s). -206*s + 1 Let i(n) = -5*n**2 + 9*n. Let d(c) = -4 - 26*c + 4 + 862*c**2 - 848*c**2. Determine 3*d(m) + 8*i(m). 2*m**2 - 6*m Let d(g) = -g**2 - 3*g - 1. Suppose 4*x - 9*x + 10 = 0. Let y(n) = -2 - 1 + 3*n**x + 5 + 7*n. Let v = -5520 + 5518. What is v*y(w) - 5*d(w)? -w**2 + w + 1 Let y(v) = 7*v**2 - 4*v - 3. Let d(h) = -13*h**2 + 7*h + 5. Suppose 0 = 2*z + 3*z + 5*j + 40, 0 = -4*z + 2*j - 2. Determine z*d(p) - 5*y(p). 4*p**2 - p Let w(p) = -p**2 + p + 1. Let t(q) = q - 1. Let d(f) = 3*f**2 - 8. Let v(a) = -d(a) + 2*t(a). Let r = 62 + -61. Determine r*v(h) - 4*w(h). h**2 - 2*h + 2 Let w(t) = -t**3 + 2. Let v(z) = -3. Let g(f) = -7. Let d(u) = 4*g(u) - 9*v(u). Let x be (12/16)/(2/16). Let k be 1*(1 + x/(-3)). Determine k*w(y) - 2*d(y). y**3 Let n(k) = -13*k**2 + 5. Let x(c) be the third derivative of -c**5/10 + c**3/3 + 34*c**2. What is 3*n(m) - 7*x(m)? 3*m**2 + 1 Let f(n) = -23*n**2 + 9*n - 9. Let t(d) be the second derivative of -d**4/2 + d**3/3 - d**2 - d + 4. Determine -2*f(s) + 9*t(s). -8*s**2 Let p(t) = t**2 - 2*t + 1. Let i(z) = -5*z**2 + 15*z - 27. Calculate -i(k) - 6*p(k). -k**2 - 3*k + 21 Let t(z) = 19*z**2 + 6*z + 5. Let h be t(-1). Let n(s) = s**2 + 8*s - 9. Let a(y) = y - 1. Give h*a(v) - 2*n(v). -2*v**2 + 2*v Let l(g) = -7*g - 2. Let h(o) = o**3 - 10*o**2 + 10*o + 8. Let r be h(9). Let v(u) = -20*u - 6. What is r*l(y) - 6*v(y)? y + 2 Let r(p) = p**2 + 3*p - 1. Let l(c) = -3*c**2 - 526*c + 2. Give l(k) + 2*r(k). -k**2 - 520*k Let j(a) = 2*a + 3. Let h = 20 - 18. Let t(i) = -122 + h*i + 4*i + 131. Calculate 11*j(b) - 4*t(b). -2*b - 3 Let q(f) = 54*f**2 + 15*f + 8. Let u(k) = -5*k - 2. Calculate 2*q(h) + 6*u(h). 108*h**2 + 4 Let d(b) = -8*b - 22. Let r(z) = -7*z - 17. Let k(g) = -3*d(g) + 4*r(g). Let l(y) = 27*y + 15. Determine -15*k(q) - 2*l(q). 6*q Let n(q) = -18*q - 937. Let l be n(-52). Let k(a) = -12*a**3 + a**2 - a. Let u(v) = v**3 - v**2 + v. Determine l*k(h) - u(h). 11*h**3 Let r(c) = 7*c**2 - 6*c. Let s(v) be the third derivative of 91*v**5/60 - 77*v**4/24 - 2*v**2 - 3. Determine -77*r(j) + 6*s(j). 7*j**2 Let j(u) = -4*u - 26. Let d(y) = 3*y + 14. What is 11*d(g) + 6*j(g)? 9*g - 2 Let q(o) = 9*o**3 - 14*o**2 - 84*o + 3. Let k(g) = -8*g**3 + 12*g**2 + 83*g - 3. Determine 7*k(d) + 6*q(d). -2*d**3 + 77*d - 3 Let o(a) = 2*a**3 + 6*a**2 + a - 2. Suppose l + 12 = -3*w, -l + 3*w - 14 = 7*w. Let i(r) = 2*r**3 + 7*r**2 + r - 2. Give l*i(t) + 7*o(t). 2*t**3 + t - 2 Let q = 147 - 92. Let c = -69 + q. Let y(t) = -3*t + 9. Let l(i) = -i + 4. Calculate c*l(s) + 6*y(s). -4*s - 2 Let q(z) = -7*z**3 - 4*z - 3. Let j(n) be the third derivative of -n**6/20 - n**4/8 - n**3/3 + 490*n**2 - 2*n. Calculate -5*j(g) + 4*q(g). 2*g**3 - g - 2 Let u(s) = 13*s - 67. Let j(d) = -36*d + 201. Deter
{ "pile_set_name": "DM Mathematics" }
uppose -235 = -4*t + c*u + 81, -3*t + 2*u = -244. Does 12 divide t? True Let q be (-15)/(-1)*(-40)/24. Is ((-9)/1)/(5/q) a multiple of 15? True Let v be (-44)/(-66) + 8/6. Suppose 5*q - 184 = -3*h, -v*q + 3*h = -3*q + 44. Is q a multiple of 7? True Let r(g) = 79*g - 9. Let v(a) = -a. Let u(p) = r(p) + 5*v(p). Is u(4) a multiple of 40? False Let d(h) = 19*h + 71. Does 8 divide d(12)? False Let x be 2/4*1480/(-4 + 8). Suppose 13*g + x = 18*g. Does 9 divide g? False Suppose -2*j - 21 = t + 3*j, 11 = 4*t + j. Suppose 2*i + 4 = b - 24, 0 = 3*b - t*i - 78. Is 22 a factor of b? True Suppose 0 = 3*x + 4*h - 1, -2*x + 3*h = -0*h - 29. Let v(k) = -12*k + 6*k**2 + 3 + 0 - x*k**2. Is 8 a factor of v(-8)? False Let q = -82 - -99. Suppose 0 = -22*n + q*n + 40. Does 5 divide n? False Let h = -8 + 14. Let f be (-7)/(-3) - (-4)/h. Suppose f*x - 25 = 29. Is x a multiple of 4? False Does 12 divide ((-30)/9)/(72/(-25380))? False Is 29 a factor of 435/(-75)*(2 + 0 + -37)? True Let y(o) = 2*o**2 + 17*o + 7. Let c be y(-8). Is 10 a factor of (21/6*-16)/c? False Let b(v) be the first derivative of 4*v**3/3 - 7*v**2/2 - 5*v - 1. Let d be b(6). Suppose -d - 10 = -c. Is 27 a factor of c? False Suppose m = -2*m + 33. Let w = -35 + m. Let y = -14 - w. Does 10 divide y? True Let l = 18 - -13. Suppose 8*i = 81 + l. Does 7 divide i? True Let r be (32 + 1)*(-2)/(-3). Let i = 187 + -188. Let g = i + r. Is 7 a factor of g? True Let m(z) = -z**2 - 28*z + 5. Suppose -5*r + 4*s - 54 = -3*r, -3*s = 3*r + 45. Is m(r) a multiple of 30? False Let t(f) = 9*f. Let g(a) = -2*a**2 + a. Let k be g(2). Let i = 14 + k. Does 24 divide t(i)? True Suppose y = 3*x - 15, -2*y + 0*x + x - 15 = 0. Let v(l) = -261*l**2 - 8 + 26*l + 269*l**2 - 21*l + l**3. Is v(y) a multiple of 7? False Let f = 13 + -8. Suppose -j - 21 = -4*j + 3*l, f*j - 44 = -4*l. Let z = j + -3. Is 5 a factor of z? True Let m(a) = a**3 - 7*a**2 + 5*a + 8. Let p be m(6). Suppose 0 = p*d + 2 - 6. Suppose 5*v - d*s = 67, -2*v + 3 = 3*s - 20. Is 13 a factor of v? True Let n = 110 + 237. Is n a multiple of 18? False Let p(b) be the second derivative of b**4/6 - b**3/3 - b**2/2 - 12*b. Let f be p(-1). Suppose t - 2*q = 36 - 4, 5*q - 52 = -f*t. Does 17 divide t? False Suppose n = 3*p - 10, -3*n = 5*p - 17 - 9. Let j = -1 - n. Is 12 a factor of ((-3)/j)/((-1)/(-37))? False Let q = 28 + -26. Suppose 2*j - 263 = 3*i, -i = j + q*i - 136. Does 11 divide j? False Suppose -155 = -10*d + 2215. Is d a multiple of 17? False Let g be 104/20 + (-1)/5. Let n be -5*(7/g + -2). Suppose -u + n*x - 4*x = -53, -2*u + 2*x + 122 = 0. Is u a multiple of 19? True Let f = -527 - -929. Is 76 a factor of f? False Let m = 4 - 0. Suppose 2*v + 134 = 4*v - 4*j, -4*j - 317 = -5*v. Suppose -m*n + n + 9 = 0, 0 = 4*k - n - v. Does 8 divide k? True Let x = 1 - 1. Let s = -26 + 101. Suppose x = -4*a + 179 - s. Does 13 divide a? True Let a = -370 - -538. Is 24 a factor of a? True Suppose -2*a + 251 = -55. Is a a multiple of 17? True Let j(t) = t**2 + 6*t - 7. Let w be j(8). Let m = w + -69. Is 36 a factor of m? True Let u(j) be the second derivative of -j**3/2 + 5*j**2/2 + 2*j. Suppose -5*r = c + 32, 5*c - 5*r = -12 + 2. Is u(c) a multiple of 26? True Let k = 43 + -47. Let i(u) = -u + 1. Let o be i(3). Let a = o - k. Does 2 divide a? True Let q = 24 - 11. Suppose q*d = 14*d - 7. Suppose 27 + 456 = d*p. Is 23 a factor of p? True Let f(m) = m**3 - m**2 + m + 297. Is 11 a factor of f(0)? True Let s(a) = -2*a**3 - 3*a**2 + 5*a + 25. Is 25 a factor of s(-6)? False Is (-44)/198 - (-8644)/18 a multiple of 10? True Suppose -2*w - 176 - 78 = -5*j, 3*w - 9 = 0. Is 24 a factor of j? False Suppose -7*r + 12 = -3*r. Let c be (-2 - -4)*(-12 + r). Let w = c + 27. Is w a multiple of 2? False Let k = -485 + 952. Is k a multiple of 34? False Let h(v) = -v**3 - 6*v**2 + 8*v + 3. Let x be h(-7). Let l be 1794/x*2/(-3). Suppose 0 = 5*d - 86 - l. Is d a multiple of 21? False Let g(m) be the first derivative of m**3/3 + 13*m**2/2 + m - 9. Let q be g(-16). Suppose -q = 5*c - 199. Is c a multiple of 5? True Let t(y) be the second derivative of y**4/12 + 4*y**3/3 - 9*y**2/2 + 7*y. Let w be t(-13). Suppose 2*b - w = 64. Is 10 a factor of b? True Let u(p) = p**2 - p - 6 - 10 + 1 - 2. Let s be u(6). Suppose -6*l + 5*l + s = 0. Is l a multiple of 13? True Let j be (6/8)/(3/12). Suppose 3*k = 3*p + 122 + 244, -3*k - j*p + 336 = 0. Is k a multiple of 9? True Is 58 a factor of (14 + -11)*(2 - -404)? True Let x = -162 - -167. Suppose 3*q - b - 3*b = 384, -4*b + 608 = x*q. Is q a multiple of 34? False Let i be (1 + 4 + -6)*-9. Let f = 3 + i. Does 6 divide f? True Suppose -5*s = 2*z - 1092, -6*z + 2*z + 644 = 3*s. Does 7 divide s? False Let l(f) be the first derivative of 20*f**3/3 - f**2/2 - f - 1. Let n(x) = -4*x - 41. Let k be n(-10). Does 20 divide l(k)? True Suppose 5*t = 3*w + 166, 26 = t + w + 2*w. Is 10 a factor of (-60)/7*(-112)/t? True Let o = 5326 + -2746. Is 90 a factor of o? False Let s(m) = -m**2 - 32*m - 110. Does 52 divide s(-8)? False Is 18 a factor of (-2)/(-6)*(1884 - -6)? True Let c = 20 - -401. Is 8 a factor of c? False Let x = -5 - -5. Let n(v) = x*v**2 + v**3 - 3*v + 8*v**2 - 11 + 0*v. Is 5 a factor of n(-8)? False Suppose 34*q = 11323 + 14313. Does 58 divide q? True Let g(z) = -38 + 0*z + 24 + 20 + 6*z. Is 12 a factor of g(15)? True Let k = 207 + -107. Is 4 a factor of k? True Suppose 0 = i + i + 2*o + 460, -3*i - 2*o = 690. Let y be 4/((-8)/i) - 3. Suppose 3*k - y = -k. Does 28 divide k? True Let l = -334 - -678. Does 43 divide l? True Suppose -4*z = -5*m - 3427, 3*m - 4293 = -3*z - 2*z. Is 39 a factor of z? True Let s(c) = 3*c**3 - c**2 + 4*c - 21. Does 23 divide s(7)? False Suppose -36*a = 4*h - 35*a - 6887, -2*a = -h + 1715. Is h a multiple of 25? False Suppose 27*z + 55309 = 68*z. Is 19 a factor of z? True Suppose -13*s + 85 = -11*s + r, -5*s = 3*r - 214. Is s a multiple of 2? False Let t = -35 + 79. Does 6 divide (-2*1)/((-11)/t)? False Let l(z) = -2*z**3 - 4*z**2 + 5*z + 7. Let g be l(-6). Suppose 4*o = -5*w + 283, -4*o + 0*w + w = -g. Is o a multiple of 16? False Suppose -9*v + 35 = -2188. Is 33 a factor of v? False Suppose m = -h + 6*h, -2*h = -m. Let w = -111 - -230. Suppose h = 5*d - w - 11. Is 13 a factor of d? True Is 4/(((-3)/(-6))/((-506)/(-8))) a multiple of 22? True Suppose 5*x = -j + 10, 4*j - 2*x - 15 = 3*x. Suppose -5*s = k - 24, -4*s = 2*k + k - 28. Suppose -k*l = 2*g - j*l - 4, 0 = 4*g + 5*l - 36. Does 4 divide g? True Let p(u) = 553*u - 29. Does 10 divide p(2)? False Suppose -y - y + 4*y = 0. Suppose 0 = 3*w - y*w - 192. Is 10 a factor of w? False Is 2 a factor of (-3)/((1 + 1)*(-4)/808)? False Let x(c) = c**2 + 12*c - 10. Suppose 0 = -g + 2*b - 5, -5*g - 13 = 5*b + 72. Let z be x(g). Suppose z*j = 4*j - 12. Does 4 divide j? True Let o be (-1)/(-5) - 5/25. Suppose 4*k + k - 2*t - 2 = o, -2*k - 2*t = -12. Suppose -4*b + 3*p = -242, -7*b + 318 = -k*b + 4*p. Is b a multiple of 9? False Let g(q) = q + 6. Let s be g(-1). Suppose -3*v - 2*z = z - 186, 0 = s*v - z - 286. Is v a multiple of 5? False Suppose -8*p + 3054 = -4394. Is 27 a factor of p? False Let g = -771 + 1677. Is 79 a factor of g? False Let o = 524 - 454. Does 12 divide o? False Let c(a) = 5*a - 2. Let u(t) = -4*t + 3. Let z(h) = 5*c(h) + 6*u(h). Let m be z(14). Suppose -6 - m = -2*f. Does 7 divide f? True Let g be (10 + -30)*(0 - 1). Suppose -60*o = -55*o - g. Is o even? True Let o = -107 - -98. Let l(i) = i**2 - i - 35. Does 13 divide l(o)? False Let k = -12 - -27. Suppose 0 = k*z - 10*z. Suppose 5*x + 18 = 4*f + 3*x, z = 2*f - 3*x + 1. Is 2 a factor of f? False Suppose 0 = -30*d + 51229 - 5629. Is 19 a factor of d? True Let a(k) be the first derivative of -13*k**3 + k**2 + k + 5. Let y be a(-1). Let t = y + 124. Is 26 a factor of t? False Suppose -3*b - 2*b + 190 = 0. Let d = 208 - 277. Let g = b - d. Does 33 divide g? False Let v(z) = z**3 + 4*z**2 + 4*z + 4. Let c be v(-4). Let w(f) = f**3 + 11*f**2 - 13*f - 16. Let q be w(c). Let t = q - -37. Is t a multiple of 11? True Let w be (-3 - -3) + 3 + 137. Suppose 2*a + 2*t = 232, 3*t + 220 = 3*a - w. Suppose 2*d - a - 34 = k, -54 = -d - 5*k. Does 28 divide d? False Let p = 25 + 41. Suppose -401 = -5*r - g, r - p = 4*g + 10. Does 10 divide r? True Su
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {t: 2, y: 2, k: 1, n: 1, a: 1, w: 1}. Give prob of picking 1 w, 1 t, and 1 y. 1/14 Two letters picked without replacement from jjjoooo. What is prob of picking 1 j and 1 o? 4/7 Calculate prob of picking 2 y when two letters picked without replacement from {o: 2, h: 2, y: 2}. 1/15 Four letters picked without replacement from hhamhnhahammm. Give prob of picking 2 a, 1 h, and 1 m. 12/143 Four letters picked without replacement from tqqqtqt. Give prob of picking 4 q. 1/35 What is prob of picking 1 v and 1 z when two letters picked without replacement from {z: 2, f: 1, v: 1, c: 2}? 2/15 Calculate prob of picking 1 p and 1 i when two letters picked without replacement from qrpwqwqprrrwwiqw. 1/60 Calculate prob of picking 3 x when three letters picked without replacement from {x: 9}. 1 What is prob of picking 1 m and 1 r when two letters picked without replacement from ippramaprrpapap? 1/35 Two letters picked without replacement from ygmgmbmymw. What is prob of picking 1 y and 1 w? 2/45 Calculate prob of picking 1 w, 1 s, and 1 j when three letters picked without replacement from {r: 1, j: 2, m: 1, s: 1, l: 3, w: 3}. 2/55 Three letters picked without replacement from {u: 5, t: 8, m: 7}. What is prob of picking 1 m, 1 u, and 1 t? 14/57 What is prob of picking 4 e when four letters picked without replacement from {w: 6, f: 1, e: 7}? 5/143 Two letters picked without replacement from {r: 2, v: 2, u: 1, p: 1}. Give prob of picking 1 p and 1 r. 2/15 Four letters picked without replacement from haiibqibahqbyh. Give prob of picking 4 b. 0 Two letters picked without replacement from {x: 1, u: 1, g: 3}. Give prob of picking 2 g. 3/10 Three letters picked without replacement from ptfrwru. Give prob of picking 1 w, 1 r, and 1 f. 2/35 Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {n: 10, w: 5, i: 1, y: 2, j: 2}. 2/19 Calculate prob of picking 2 x when two letters picked without replacement from {s: 4, n: 4, b: 2, h: 2, x: 2}. 1/91 Calculate prob of picking 2 k when two letters picked without replacement from pabapbbyypkw. 0 What is prob of picking 1 b and 1 d when two letters picked without replacement from {b: 3, d: 8, l: 7}? 8/51 Calculate prob of picking 1 g and 1 v when two letters picked without replacement from gyaaobvayayagya. 2/105 Three letters picked without replacement from ncnneppcmvnnnn. Give prob of picking 2 p and 1 m. 1/364 What is prob of picking 2 t when two letters picked without replacement from {t: 5, l: 3, k: 2}? 2/9 Calculate prob of picking 2 o when two letters picked without replacement from {c: 1, j: 2, y: 2, a: 2, q: 1, o: 5}. 5/39 Calculate prob of picking 1 q and 1 z when two letters picked without replacement from {y: 2, q: 10, z: 3, m: 3}. 10/51 Two letters picked without replacement from {q: 3, f: 2, k: 1, r: 1, c: 1, a: 3}. Give prob of picking 1 k and 1 c. 1/55 Three letters picked without replacement from {t: 3, s: 4, g: 13}. Give prob of picking 1 s and 2 g. 26/95 Two letters picked without replacement from {y: 5, z: 1, u: 7}. What is prob of picking 2 u? 7/26 Four letters picked without replacement from {j: 2, k: 2, g: 10}. Give prob of picking 3 g and 1 j. 240/1001 Two letters picked without replacement from qhhqqhqhqqqqqhqq. Give prob of picking 1 q and 1 h. 11/24 Calculate prob of picking 1 z and 2 o when three letters picked without replacement from ooeeewewewweewetz. 1/680 Two letters picked without replacement from llsejeeljppl. Give prob of picking 2 p. 1/66 Two letters picked without replacement from jgjjgmppjmhmgmr. Give prob of picking 2 m. 2/35 Four letters picked without replacement from ghktkghlhlghgh. What is prob of picking 1 t and 3 g? 4/1001 Calculate prob of picking 3 j and 1 v when four letters picked without replacement from {q: 1, j: 7, v: 5}. 35/143 Three letters picked without replacement from mrrmyymrrrm. Give prob of picking 3 y. 0 Two letters picked without replacement from {e: 2, d: 1, y: 2, h: 1, x: 1, w: 1}. What is prob of picking 1 d and 1 y? 1/14 Calculate prob of picking 1 g and 2 n when three letters picked without replacement from {g: 2, n: 8}. 7/15 Four letters picked without replacement from jeermjijajjjmijmamj. What is prob of picking 2 j and 2 m? 14/323 What is prob of picking 1 o and 1 q when two letters picked without replacement from yozekeyyqoqekeze? 1/30 Calculate prob of picking 1 i and 3 t when four letters picked without replacement from {i: 1, t: 8, c: 10}. 14/969 What is prob of picking 2 w when two letters picked without replacement from kkkkkwkkkw? 1/45 Two letters picked without replacement from {c: 2, v: 1, d: 1}. Give prob of picking 2 c. 1/6 Calculate prob of picking 2 s and 2 b when four letters picked without replacement from sbbssbbbbbbssbbb. 55/182 Calculate prob of picking 2 a and 1 g when three letters picked without replacement from {r: 2, a: 5, i: 1, g: 2, c: 6}. 1/28 Two letters picked without replacement from mmmmmmumum. Give prob of picking 1 m and 1 u. 16/45 What is prob of picking 1 t and 1 x when two letters picked without replacement from xtlljyv? 1/21 Four letters picked without replacement from gsgggsggggg. Give prob of picking 4 g. 21/55 What is prob of picking 1 b and 1 p when two letters picked without replacement from bccbcxhcpp? 4/45 What is prob of picking 2 u when two letters picked without replacement from {e: 6, u: 12}? 22/51 Calculate prob of picking 1 f and 1 l when two letters picked without replacement from llbulbful. 1/9 Calculate prob of picking 1 p and 1 d when two letters picked without replacement from dctdptrctttd. 1/22 What is prob of picking 2 z when two letters picked without replacement from {y: 6, z: 10, p: 1}? 45/136 Calculate prob of picking 2 h when two letters picked without replacement from {s: 1, h: 7, z: 2, f: 2}. 7/22 Calculate prob of picking 2 r when two letters picked without replacement from {n: 1, l: 1, e: 2, x: 1, r: 4}. 1/6 What is prob of picking 2 v when two letters picked without replacement from vrvvrrv? 2/7 What is prob of picking 2 f when two letters picked without replacement from {m: 1, f: 2}? 1/3 What is prob of picking 1 x and 1 b when two letters picked without replacement from xxpplxybxppp? 2/33 Four letters picked without replacement from ppprpppwpwwpppwww. Give prob of picking 1 w, 1 r, and 2 p. 27/238 Four letters picked without replacement from {g: 3, y: 2}. What is prob of picking 3 g and 1 y? 2/5 Three letters picked without replacement from ussssussssssuu. What is prob of picking 2 s and 1 u? 45/91 What is prob of picking 3 p when three letters picked without replacement from {p: 4, i: 3}? 4/35 Two letters picked without replacement from {m: 3, s: 4, e: 6}. What is prob of picking 2 s? 1/13 Two letters picked without replacement from {j: 7, r: 7}. What is prob of picking 2 j? 3/13 Two letters picked without replacement from {i: 1, o: 1, n: 1, m: 1, l: 1}. Give prob of picking 1 n and 1 o. 1/10 Calculate prob of picking 1 h, 2 i, and 1 o when four letters picked without replacement from {u: 2, o: 11, i: 3, h: 3}. 33/1292 Calculate prob of picking 2 y, 1 t, and 1 f when four letters picked without replacement from {h: 4, y: 7, d: 3, t: 1, f: 3}. 7/340 Calculate prob of picking 1 w, 1 t, and 1 f when three letters picked without replacement from wwttwffftwtwwtttt. 18/85 Two letters picked without replacement from {u: 9, k: 5}. What is prob of picking 2 k? 10/91 What is prob of picking 1 d and 1 b when two letters picked without replacement from {q: 6, d: 4, b: 5}? 4/21 Three letters picked without replacement from {i: 3}. What is prob of picking 3 i? 1 What is prob of picking 2 h, 1 e, and 1 q when four letters picked without replacement from {l: 4, e: 3, h: 2, q: 1}? 1/70 What is prob of picking 1 w, 1 u, and 1 j when three letters picked without replacement from nwnunnjwn? 1/42 Calculate prob of picking 2 f when two letters picked without replacement from {i: 9, d: 2, f: 7}. 7/51 Two letters picked without replacement from {y: 2, g: 2, s: 1}. Give prob of picking 1 y and 1 g. 2/5 Four letters picked without replacement from {r: 3, x: 5}. What is prob of picking 1 r and 3 x? 3/7 Four letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }
+ 6. Let q be u(-5). Find the second derivative of q*w**2 + 65*w - 74*w**2 - 123*w wrt w. 474 Differentiate -6077*a - 85 + 421 + 3352*a with respect to a. -2725 What is the second derivative of 210*z**2 + 21 - 2094*z**2 - 11 + 2599*z - 932*z**2 - 11 wrt z? -5632 Let g(a) be the third derivative of 63*a**5/4 + 24*a**4 - a**3/6 - 691*a**2. Find the second derivative of g(w) wrt w. 1890 Let d(g) = 4*g**2 + 2. Let f(w) = -871*w**2 - 23*w - 3. Let s(m) = 3*d(m) - f(m). Find the second derivative of s(q) wrt q. 1766 Let t(m) = -4272*m**4 + 5*m**3 + 10*m + 4435. Let v(j) = -4273*j**4 + 4*j**3 + 8*j + 4443. Let q(w) = -4*t(w) + 5*v(w). Find the first derivative of q(z) wrt z. -17108*z**3 Let d(i) = 7864*i**2 - 6*i - 11920. Let x(a) = 15700*a**2 - 11*a - 23843. Let v(j) = -11*d(j) + 6*x(j). What is the first derivative of v(r) wrt r? 15392*r Suppose -4*t - 10 = 3*n - n, 0 = 5*n - 5*t - 50. Suppose -141 = -6*d + 63. What is the second derivative of 4*c**3 - 18*c**n + d*c + 53*c**5 - 4*c**3 wrt c? 700*c**3 Let u(a) be the first derivative of 0*a - 40*a**3 + 206 + 69/4*a**4 + 0*a**2. Find the third derivative of u(n) wrt n. 414 Let d = -5 + 7. Suppose -5*u = -d*u - 6. Find the second derivative of 0*l + 0*l - 4*l**2 - 8*l**u - 5*l wrt l. -24 Let l(j) be the second derivative of -107*j**8/56 + 7*j**5/20 - j**4/6 - 257*j**2/2 - 655*j. Find the third derivative of l(b) wrt b. -12840*b**3 + 42 Let b(q) be the second derivative of 29*q**5/5 + 473*q**4/6 - q + 10. Find the third derivative of b(m) wrt m. 696 What is the third derivative of -3*w**6 - 3 - 19*w**5 + 63*w**5 + 1428804*w**2 - 1428543*w**2 wrt w? -360*w**3 + 2640*w**2 Let o(v) = 361*v**2 - 441*v + 4. Let s(d) = 12*d. Let x(m) = -o(m) - 4*s(m). What is the second derivative of x(l) wrt l? -722 Let s(q) be the third derivative of 2017*q**8/168 + 8939*q**5/60 + 190*q**2 + 7*q. Find the third derivative of s(d) wrt d. 242040*d**2 Let t(o) be the first derivative of 1822*o**7/7 - 2*o**3/3 + o**2/2 - 124*o + 12737. Find the third derivative of t(a) wrt a. 218640*a**3 Let s = -234 + 250. What is the derivative of -s - 70*b**3 + 0 - 15*b**3 - 2 wrt b? -255*b**2 Suppose -5*f = -202 + 82. Suppose 0 = -q - v + 4*v + f, -3*q + 37 = -2*v. Find the third derivative of -13*u + q*u**2 + 13*u - 13*u**5 wrt u. -780*u**2 Let p(m) be the third derivative of -178*m**6/15 + 9857*m**5/60 - m**2 - 37*m - 11. What is the third derivative of p(c) wrt c? -8544 Let q be 4*2/5*405/(-72). Let w be (-5)/((20/(-12))/((-6)/q)). Find the third derivative of 3 - 3 + 107*z**5 - 10*z**w - 120*z**5 wrt z. -780*z**2 Suppose -3*x + 70 = 2*x - m, 5*x = -4*m + 95. Suppose -x*y + 12*y = -9. Find the first derivative of -y*u**4 - 11 + 13*u**4 + 2*u**4 wrt u. 48*u**3 Let m(j) be the second derivative of -2087*j**3/6 + 2396*j**2 - 5848*j. Differentiate m(f) with respect to f. -2087 Suppose -15 = 2*v - 21. Find the second derivative of 12*q**v - 28*q + 104*q**3 - 37*q**3 + 40*q**3 + 125*q wrt q. 714*q Let y(r) = -12248*r**2 + 4*r - 5121. Let q(n) = -12250*n**2 + 5*n - 5119. Let p(h) = -4*q(h) + 5*y(h). Differentiate p(w) wrt w. -24480*w Let l(z) = 3*z + 7. Let m be l(6). Let q be (1/(-3))/((m/30)/(-5)). What is the second derivative of 12*h + h + 28*h**3 - q*h + 16*h wrt h? 168*h Let z = 197 + -194. Suppose -4*w = 3*j - 38 + 14, -j + 3*w = 5. Find the second derivative of 42*r**2 + z*r - 42*r**2 + r + 8*r**j wrt r. 96*r**2 What is the second derivative of 104*y**3 - 140*y**3 - 208*y - 48*y + 65*y + 3 - 9*y**2 wrt y? -216*y - 18 Let q(s) = -728*s + 1485. Let j(c) = 717*c - 1486. Let u(g) = 6*j(g) + 5*q(g). Differentiate u(a) with respect to a. 662 Find the second derivative of 2187*w - 4934*w**5 - 1573*w**3 - 2 - 1569*w**3 - 1568*w**3 + 4710*w**3 wrt w. -98680*w**3 Let h(w) = -200*w - 815. Let x(p) = -25*p - 102. Suppose 0 = 10*o + 126 + 124. Let m(l) = o*x(l) + 3*h(l). What is the first derivative of m(g) wrt g? 25 Let m(l) be the second derivative of -1577*l**4/12 + 4405*l**3/6 - 2575*l. What is the second derivative of m(g) wrt g? -3154 Let q = 141 + -136. Let b(g) = 223*g**2 - 4*g - 5. Let r(x) = 112*x**2 - 2*x - 2. Let f(a) = q*r(a) - 3*b(a). Find the second derivative of f(s) wrt s. -218 What is the third derivative of -790 - 71*x**6 - 438 - 2*x**2 - 179 wrt x? -8520*x**3 Let d(b) be the first derivative of -127*b**5/5 - 257*b**2 + 1584. Find the second derivative of d(w) wrt w. -1524*w**2 Let n(h) be the first derivative of 0*h**3 - 168/5*h**5 + 0*h**4 + 78*h - 107 + 0*h**2. Differentiate n(q) with respect to q. -672*q**3 Let m(p) be the second derivative of -7537*p**7/42 - 526*p**3/3 - 4075*p. What is the second derivative of m(c) wrt c? -150740*c**3 Let r be 6*8/12 + (2 - -107). Differentiate 1502*b**3 - 1417*b**3 - r + 3*b - 3*b with respect to b. 255*b**2 Suppose -3*m = 2*m - 2910. Suppose 18*g + 6 = 52 + 26. What is the third derivative of 2*d + m*d**2 - 549*d**2 - 19*d**g - 2*d wrt d? -456*d Let q be (-2)/((20/15)/(-4)*2). Find the third derivative of -83*s**3 - q - 45*s**2 + 3 - 108*s**2 - 113*s**2 wrt s. -498 Let r be 338/(-8) - (-1)/4. Let d = 44 + r. What is the third derivative of 2126 - 2126 + 15*i**d + 5*i**4 wrt i? 120*i Suppose -24 = c - 4*r, 2*c + 3*r = r - 28. Let h = c - -18. Differentiate -3*w**h + 12 + 2*w**2 - 6*w**2 with respect to w. -14*w Let f(m) = m**2 - m - 1. Let u be (-1)/((-18)/27) + (-2)/4. Let i(j) = 130*j**2 - 23*j. Let y(c) = u*i(c) + 2*f(c). Find the second derivative of y(x) wrt x. 264 Let s(i) = 2 - 3*i**3 + 5*i**3 - 3*i**3 + 6*i**2. Let z be s(6). Find the third derivative of -16*y**z - 8*y**5 + 14*y**2 + 19*y**2 wrt y. -480*y**2 Let s be (104/(-130))/((-3)/15). What is the second derivative of -159*w**s + 471*w**4 - 240*w - 252*w**4 - w**2 wrt w? 720*w**2 - 2 Let s(l) = 4968*l**3 + 6*l**2 - 8. Let m(u) = -9933*u**3 - 14*u**2 - 2*u + 18. Let r(n) = 6*m(n) + 14*s(n). What is the second derivative of r(x) wrt x? 59724*x Let w(o) be the third derivative of -1373*o**7/105 - 223*o**3 + 99*o**2 + 25. Find the first derivative of w(l) wrt l. -10984*l**3 Differentiate -3*z**2 - 448 + 487*z**3 + 524 - 2646 + 3*z**2 with respect to z. 1461*z**2 Let f(t) = -12794*t + 14348. Let g(u) = -5116*u + 5739. Let j(b) = 5*f(b) - 12*g(b). Differentiate j(o) with respect to o. -2578 Let y = 43 - 39. Suppose -w = y*w - 30. What is the first derivative of 2*n**3 + 1 + 10 + 9 - w wrt n? 6*n**2 Suppose -y - 5*p = 8, -3*p = 12*y - 7*y - 4. Let x(n) = -2*n + 12. Let s be x(5). Find the third derivative of -2*q**s + 28*q**4 + 15*q**y + 4*q**4 wrt q. 768*q Let b(z) = 916*z**3 + 15*z**2 - 451*z - 5. Let f(o) = 917*o**3 + 12*o**2 - 449*o - 4. Let m(d) = -4*b(d) + 5*f(d). Find the second derivative of m(s) wrt s. 5526*s Suppose -9 = -18*s + 27. What is the derivative of -4*u**4 - 20577*u**3 + 4*u**s + 20577*u**3 + 52 wrt u? -16*u**3 + 8*u Let h(w) be the first derivative of 777*w**4 - 14*w**3 + 7*w**2 - 1433. What is the third derivative of h(i) wrt i? 18648 Let l(u) = u**2 + 18*u + 20. Let r be l(-15). Let m = r - -25. Differentiate m - 15 + h**3 + 3*h**3 with respect to h. 12*h**2 Find the first derivative of 26023 - 26*r**3 + 4*r + 2*r**2 + 26246 - 50772 wrt r. -78*r**2 + 4*r + 4 Let m be -12 - -12 - (-110)/2. Let r = m - 35. Find the second derivative of 18*z**2 - 17*z - 25*z**2 + r*z**2 wrt z. 26 Let p(s) be the second derivative of -s**6/15 + 25*s**4/12 - 1063*s**2 + 408*s + 3. Find the first derivative of p(z) wrt z. -8*z**3 + 50*z Find the third derivative of -17*a**2 - 2*a**2 + a - 53*a**2 - 19*a + 2*a - 2657*a**4 wrt a. -63768*a Let y(o) be the third derivative of -46*o**7/105 + 13*o**6/120 + 104*o**5/15 + o**4/12 + 214*o**2 + 2. Find the third derivative of y(d) wrt d. -2208*d + 78 Let m = 93 + -98. Let a be 1 + m - (1 + 1 + -26). What is the second derivative of -2*d + a*d**3 + 65 - 65 - d wrt d? 120*d Let v be 0 + (-34)/(-11) + 6/(-66). Let y(t) be the third derivative of 2*t**v + 1/8*t**4 + 0 + 0*t - 6*t**2. Differentiate y(s) with respect to s. 3 Find the third derivative of 3673*s**4 + 3*s**2 + 114*s**2 - 3513*s**4 - 2 wrt s. 3840*s Let o = -22 + 25. Suppose 5*u + 19 = 3*p + u, -17 = -o*p + 5*u. Find the second derivative of -12*f - 7*f**4 - 23*f**4 - 15*f - p*f wrt f. -360*f**2 Let m(t) = -6*t**2 - 28*t + 7. Let x
{ "pile_set_name": "DM Mathematics" }
-315783 - 11300813. -11616596 What is -12493115 - 2965189? -15458304 -903 + -959405.778 -960308.778 Work out -299839207 + -332. -299839539 What is 0.05 less than 71487.4622393? 71487.4122393 4638 + 0.316602597 4638.316602597 Add -0.28 and -4089196135187. -4089196135187.28 What is -7060857.78531 less than 0.02? 7060857.80531 Total of -0.0195686 and -201050. -201050.0195686 -1075.60364017035 - 0.3 -1075.90364017035 What is -17528 + 19965265? 19947737 What is 4368918822097 minus 0? 4368918822097 Work out 78.4930372 + -0.2. 78.2930372 What is 10192.33037 + 408? 10600.33037 Subtract -85 from 34505.0615701. 34590.0615701 What is 3 take away 1761.799499? -1758.799499 What is -0.082 minus 20336.1592? -20336.2412 Sum -0.06 and 2673523915578. 2673523915577.94 Add together -137142.5 and 32885643. 32748500.5 38503 - 1484369.924 -1445866.924 Calculate 163895449283 - -41. 163895449324 Work out 6 + -47152757645014. -47152757645008 -1225817.27801419 + 0 -1225817.27801419 What is 0.4 less than 32100175586828? 32100175586827.6 What is the difference between -3.72 and 169.053152? 172.773152 Sum -4 and -2.8992773657. -6.8992773657 Add 204 and -387952785. -387952581 Add -9256207156882.4 and 0. -9256207156882.4 What is -10.06830233382 minus 6? -16.06830233382 Calculate -1297398 - -459.959. -1296938.041 Work out -145.72226 + -57858. -58003.72226 Work out -135449 - -0.1278884. -135448.8721116 -0.0102137808256 + -0.09 -0.1002137808256 What is 124826 minus 242830825? -242705999 What is -0.02325696525 take away -2.48? 2.45674303475 What is 23.608577 - 1251.2? -1227.591423 What is -4552.56345605 - -53? -4499.56345605 What is -3 plus -39114103291936? -39114103291939 What is the difference between -6095069416.006 and 0.7? 6095069416.706 3210907329 + -2.11 3210907326.89 Sum -2347338 and -1715.498. -2349053.498 Work out 2560711 - 438859697. -436298986 Total of 26486718 and -56301. 26430417 What is -26.8 minus 11312768158? -11312768184.8 Put together -0.1 and 99.48779783024. 99.38779783024 -371.6053225868+-13 -384.6053225868 Sum 0.2 and -1383087.3431512. -1383087.1431512 What is 0.0756 plus 208743741? 208743741.0756 -2539.8 - -3817579413 3817576873.2 What is 4803455100 take away -25685? 4803480785 Work out -139565328 - 953431. -140518759 Calculate 26811930 + 3.0593. 26811933.0593 Work out 0.079079223958 - -4.614. 4.693079223958 Sum 1430784906 and 31570. 1430816476 Calculate -34809743 - -39174. -34770569 Add together -1398 and -3751389138. -3751390536 Work out 2 - -425.45722266. 427.45722266 Total of 0.1 and 8222153694666. 8222153694666.1 -60689206500 - -0.7 -60689206499.3 What is 1089061 less than -154322556? -155411617 Put together 87868847740 and 0.4. 87868847740.4 28 + -91714423906.7 -91714423878.7 Work out -12 - 46563721425. -46563721437 What is -1773.26 take away -0.421454382? -1772.838545618 Work out -501248488.7 - -0.24. -501248488.46 What is -2226.988368 + -91? -2317.988368 Total of 34621662 and -70120. 34551542 What is 0.18041 plus 19438848648? 19438848648.18041 What is 18973.1 plus -299157985? -299139011.9 Put together -9803166.07 and 19976. -9783190.07 Calculate -4294910987 + 0.6. -4294910986.4 What is the distance between -2126391 and 3918? 2130309 Calculate 253.48472 - 159485. -159231.51528 What is the difference between 9.6 and 5861023484? 5861023474.4 Work out -4322741928 - -6.582. -4322741921.418 What is -604724686 plus -14? -604724700 What is -551431630933748 + 3? -551431630933745 Add 46.5 and -17946158170. -17946158123.5 What is the distance between -320.70463108 and -2? 318.70463108 What is 26790 - -1060.7717? 27850.7717 Calculate 172.78 + -4361874454. -4361874281.22 What is the distance between -6193935594091 and -0.2? 6193935594090.8 Calculate -107835415 + -4.5568. -107835419.5568 Put together 0.167584 and -912.9103. -912.742716 Add 6.12 and 529014166. 529014172.12 Calculate 2357306824617 - 0.4. 2357306824616.6 What is -1148 + 629.772176? -518.227824 Calculate 0.16346 - 32056636. -32056635.83654 Put together 15572 and 1735.95748. 17307.95748 Add together 1.6 and -2045786826747. -2045786826745.4 Add -2.5319 and 28751267452. 28751267449.4681 Calculate 9733.546 + 400288. 410021.546 What is 235612.6 take away -1.15354? 235613.75354 Calculate -19.8894 + 95773458. 95773438.1106 Put together -0.312 and -7881280.3. -7881280.612 What is -7.5 + 325746458? 325746450.5 Sum -19003836 and 32980. -18970856 What is 4520542 + -0.00037338? 4520541.99962662 Calculate 26120.755 - -6665. 32785.755 What is 9070227 take away 42688.7? 9027538.3 What is 70495.6 take away 729021.1? -658525.5 28348294093608+-0.03 28348294093607.97 Put together 2005.3705781 and -25. 1980.3705781 Calculate 2650.681939 + -907. 1743.681939 What is -4825213 - -3.2370274? -4825209.7629726 What is -3757 + -31.5167427? -3788.5167427 -20313586 + 1.2902 -20313584.7098 What is 1.95754113 less than -52924? -52925.95754113 What is 0.49 plus 4679852813? 4679852813.49 What is 4954.9531639 less than 0.1222? -4954.8309639 -33+-2240.06652359 -2273.06652359 What is -27.2 - -70181716171? 70181716143.8 6789.22+25230 32019.22 Subtract -11931 from 0.673743. 11931.673743 Subtract 2042475.1336 from 38. -2042437.1336 What is 0.0504 minus -2620359675826? 2620359675826.0504 What is 2 minus 0.25746855020916? 1.74253144979084 Subtract 36665809798 from 32.19. -36665809765.81 What is 132550567.3682 plus -0.02? 132550567.3482 What is 270902415.6937 plus -0.1? 270902415.5937 Put together 32617 and 2347479. 2380096 Work out -331139 + -42370213. -42701352 Add 1785 and -4296.6097363. -2511.6097363 What is -0.2904608683 minus -1038? 1037.7095391317 Add together 1.1 and 0.0958811876094. 1.1958811876094 What is -2044501732 take away 438? -2044502170 Sum -30351587148 and 3.3. -30351587144.7 What is the difference between -1.274513 and -6120.937? 6119.662487 Put together -95.2125 and -629693176. -629693271.2125 Add together -22606914 and -90.7. -22607004.7 Work out 41657222260 + -0.54. 41657222259.46 -283885 - 18694.457 -302579.457 What is -11709 plus 646326218? 646314509 Put together -282049505720 and -1. -282049505721 0.146947624 + -549 -548.853052376 Add 3143220 and -392685. 2750535 Sum 1777017381752 and -0.5. 1777017381751.5 What is 552344157 less than -4.013? -552344161.013 Total of -245 and 1.39844797. -243.60155203 What is -228817163 take away -4008.7? -228813154.3 0.3+16834582174846 16834582174846.3 Work out 18229036706923 - -9. 18229036706932 What is -1904421 - -76964023? 75059602 2296761 - 5666031.7 -3369270.7 -7848600112 - 30.078 -7848600142.078 1631107988 - 175459 1630932529 What is -1 minus 48216529587545? -48216529587546 Work out -307200307006 - 0.22. -307200307006.22 -12.478430063 + -5 -17.478430063 Work out -10.599 + -55642296. -55642306.599 What is -0.145824 + 9076182? 9076181.854176 What is 8682169066740 minus 1? 8682169066739 Total of -1 and -1180797832885. -1180797832886 Work out -1064.1 - 4501320866. -4501321930.1 Calculate 1515070805 - 94. 1515070711 Total of 412306507316 and -37. 412306507279 What is -180133 minus -2.44771384? -180130.55228616 What is the difference between -1.8659160273103 and 0.039? 1.9049160273103 Add together -58952595.9 and -11.233. -58952607.133 20737344 + 145 20737489 What is 3 + 59063757212? 59063757215 Subtract -3917375 from 50914. 3968289 What is -3377924810 - 9? -3377924819 What is 1297015678188 take away -0.3? 1297015678188.3 -128 - 159689.528797 -159817.528797 Total of -9.79 and 46601018. 46601008.21 -754+-932826864 -932827618 What is -160907504 minus -0.4207? -160907503.5793 What is -1042 less than -743793509? -743792467 What is 1894190399 minus -78? 1894190477 What is 1 + -1480.32790256? -1479.32790256 Work out -1357618.1754979 - -5. -1357613.1754979 What is the difference between -0.33 and -13423186546? 13423186545.67 0.4593+-13115.2320875 -13114.7727875 Work out -17020698.64 - 21755. -17042453.64 Calculate -13613 + -0.10672604. -13613.10672604 What is 0.089 - 738406257182? -738406257181.911 What is the distance between -6882855446945 and 5? 6882855446950 Work out -6958677 + 35086. -6923591 -5 - 610464769011 -610464769016 What is 166 + 3840551299? 3840551465 Add together 4 and -0.067777981162. 3.932222018838 Work out -22.888112828 - 11.33. -34.218112828 What is -0.3 - 1094803603
{ "pile_set_name": "DM Mathematics" }
ube root of 5035983452 to the nearest integer? 1714 What is 316098180 to the power of 1/9, to the nearest integer? 9 What is the ninth root of 117963154 to the nearest integer? 8 What is 3383013263 to the power of 1/4, to the nearest integer? 241 What is 482358259 to the power of 1/3, to the nearest integer? 784 What is 17119837 to the power of 1/2, to the nearest integer? 4138 What is 404250833 to the power of 1/3, to the nearest integer? 739 What is 3091345936 to the power of 1/2, to the nearest integer? 55600 What is the third root of 130051452 to the nearest integer? 507 What is 592127489 to the power of 1/3, to the nearest integer? 840 What is 1023533474 to the power of 1/2, to the nearest integer? 31993 What is 641714225 to the power of 1/9, to the nearest integer? 10 What is 179273639 to the power of 1/2, to the nearest integer? 13389 What is 12348540 to the power of 1/6, to the nearest integer? 15 What is 318885414 to the power of 1/2, to the nearest integer? 17857 What is 4142011383 to the power of 1/9, to the nearest integer? 12 What is the square root of 85842986 to the nearest integer? 9265 What is 3373199 to the power of 1/10, to the nearest integer? 4 What is the cube root of 15343677 to the nearest integer? 248 What is 1228423799 to the power of 1/2, to the nearest integer? 35049 What is 630454066 to the power of 1/2, to the nearest integer? 25109 What is the fifth root of 64449823 to the nearest integer? 36 What is 4939077 to the power of 1/2, to the nearest integer? 2222 What is 938736202 to the power of 1/2, to the nearest integer? 30639 What is the third root of 80720454 to the nearest integer? 432 What is 2212448583 to the power of 1/3, to the nearest integer? 1303 What is 5055959030 to the power of 1/3, to the nearest integer? 1716 What is the fifth root of 366292337 to the nearest integer? 52 What is the sixth root of 2378010646 to the nearest integer? 37 What is 31437177 to the power of 1/2, to the nearest integer? 5607 What is 34411706 to the power of 1/5, to the nearest integer? 32 What is the third root of 1472022100 to the nearest integer? 1138 What is the seventh root of 91371772 to the nearest integer? 14 What is 778790361 to the power of 1/10, to the nearest integer? 8 What is 108444604 to the power of 1/8, to the nearest integer? 10 What is 71160805 to the power of 1/6, to the nearest integer? 20 What is 1134713527 to the power of 1/9, to the nearest integer? 10 What is 4263613588 to the power of 1/3, to the nearest integer? 1622 What is the third root of 1426836875 to the nearest integer? 1126 What is the third root of 918570992 to the nearest integer? 972 What is the cube root of 5343582117 to the nearest integer? 1748 What is the square root of 60739377 to the nearest integer? 7794 What is 1754215943 to the power of 1/2, to the nearest integer? 41883 What is 4575140551 to the power of 1/2, to the nearest integer? 67640 What is the tenth root of 27399196 to the nearest integer? 6 What is 1058595767 to the power of 1/5, to the nearest integer? 64 What is 5226460576 to the power of 1/2, to the nearest integer? 72294 What is the third root of 45211498 to the nearest integer? 356 What is the fifth root of 196216057 to the nearest integer? 46 What is 13579201 to the power of 1/10, to the nearest integer? 5 What is the third root of 858682193 to the nearest integer? 950 What is 96841446 to the power of 1/9, to the nearest integer? 8 What is the cube root of 290440843 to the nearest integer? 662 What is 151345656 to the power of 1/2, to the nearest integer? 12302 What is 12614266 to the power of 1/8, to the nearest integer? 8 What is the square root of 6820350567 to the nearest integer? 82585 What is the fifth root of 144599380 to the nearest integer? 43 What is the square root of 3066944 to the nearest integer? 1751 What is the ninth root of 983997778 to the nearest integer? 10 What is 39554699 to the power of 1/5, to the nearest integer? 33 What is 25943834 to the power of 1/2, to the nearest integer? 5094 What is the square root of 247047238 to the nearest integer? 15718 What is 204986465 to the power of 1/3, to the nearest integer? 590 What is 451865741 to the power of 1/2, to the nearest integer? 21257 What is the square root of 1301529395 to the nearest integer? 36077 What is the square root of 1183099792 to the nearest integer? 34396 What is 106714257 to the power of 1/9, to the nearest integer? 8 What is the cube root of 8646691274 to the nearest integer? 2053 What is the cube root of 579177293 to the nearest integer? 834 What is 68023378 to the power of 1/2, to the nearest integer? 8248 What is the fifth root of 783450390 to the nearest integer? 60 What is 49161916 to the power of 1/4, to the nearest integer? 84 What is 862344 to the power of 1/7, to the nearest integer? 7 What is 42677096 to the power of 1/3, to the nearest integer? 349 What is 86482429 to the power of 1/3, to the nearest integer? 442 What is the square root of 472143975 to the nearest integer? 21729 What is 195482806 to the power of 1/5, to the nearest integer? 46 What is the ninth root of 4435571420 to the nearest integer? 12 What is the sixth root of 3893958110 to the nearest integer? 40 What is the ninth root of 993201150 to the nearest integer? 10 What is 68689074 to the power of 1/2, to the nearest integer? 8288 What is 410301427 to the power of 1/2, to the nearest integer? 20256 What is 15586031 to the power of 1/2, to the nearest integer? 3948 What is 33296025 to the power of 1/7, to the nearest integer? 12 What is 950408200 to the power of 1/5, to the nearest integer? 62 What is the square root of 247548232 to the nearest integer? 15734 What is 402750444 to the power of 1/7, to the nearest integer? 17 What is the cube root of 1480864511 to the nearest integer? 1140 What is the square root of 307426907 to the nearest integer? 17534 What is 356746861 to the power of 1/2, to the nearest integer? 18888 What is 67127751 to the power of 1/2, to the nearest integer? 8193 What is 12824395 to the power of 1/3, to the nearest integer? 234 What is the square root of 16419401 to the nearest integer? 4052 What is the square root of 74071784 to the nearest integer? 8606 What is the seventh root of 641479441 to the nearest integer? 18 What is the cube root of 88195324 to the nearest integer? 445 What is 6074639953 to the power of 1/2, to the nearest integer? 77940 What is 2228710634 to the power of 1/2, to the nearest integer? 47209 What is 182039020 to the power of 1/6, to the nearest integer? 24 What is 23557854 to the power of 1/8, to the nearest integer? 8 What is 27565186 to the power of 1/5, to the nearest integer? 31 What is the seventh root of 13564628 to the nearest integer? 10 What is the third root of 34340364 to the nearest integer? 325 What is 2291489980 to the power of 1/8, to the nearest integer? 15 What is the third root of 4853397660 to the nearest integer? 1693 What is 324959553 to the power of 1/2, to the nearest integer? 18027 What is 182056389 to the power of 1/2, to the nearest integer? 13493 What is 882254605 to the power of 1/2, to the nearest integer? 29703 What is the eighth root of 2610054154 to the nearest integer? 15 What is the third root of 11039391 to the nearest integer? 223 What is 81981708 to the power of 1/8, to the nearest integer? 10 What is 373746143 to the power of 1/2, to the nearest integer? 19333 What is 1902317608 to the power of 1/8, to the nearest integer? 14 What is the tenth root of 142618396 to the nearest integer? 7 What is the seventh root of 49130183 to the nearest integer? 13 What is the cube root of 3013576632 to the nearest integer? 1444 What is the tenth root of 795781658 to the nearest integer? 8 What is 443154671 to the power of 1/2, to the nearest integer? 21051 What is the square root of 142954596 to the nearest integer? 11956 What is the third root of 1674359 to the nearest integer? 119 What is the cube root of 39374685 to the nearest integer? 340 What is 242482423 to the power of 1/2, to the nearest integer? 15572 What is the square root of 1050495118 to the nearest integer? 32411 What is 36985950 to the power of 1/2, to the nearest integer? 6082 What is 3420310648 to the power of
{ "pile_set_name": "DM Mathematics" }
77 composite? True Is 2558066761 a prime number? False Is 2169523511 composite? False Is 224880919 prime? False Is 1016954843 composite? False Is 1059464543 composite? True Is 7250082097 a prime number? False Is 53729371493 a composite number? True Is 99558867517 a prime number? True Is 85324829 composite? False Is 6485944423 a composite number? True Is 1572834547 composite? True Is 40124463727 a prime number? False Is 10414349633 a prime number? False Is 1084969097 a prime number? False Is 50305706207 a composite number? True Is 464320517 composite? False Is 4401572683 prime? True Is 51118299023 composite? True Is 128888059 a composite number? True Is 5266094791 composite? False Is 24443131121 a composite number? True Is 239218799 composite? False Is 983769307 a prime number? True Is 1143386377 composite? True Is 178234571351 composite? False Is 2316678181 a composite number? True Is 38348501479 composite? True Is 20471407115 a composite number? True Is 56280842341 a prime number? True Is 5375487863 a composite number? True Is 5522418779 a prime number? True Is 3666288799 a composite number? True Is 8925419023 a composite number? True Is 18726227581 prime? False Is 16702199687 composite? True Is 91926617677 prime? False Is 1204428139 a composite number? True Is 555193867 composite? False Is 7738826561 a composite number? False Is 59794433473 a composite number? False Is 443766289 prime? True Is 47698251233 a prime number? True Is 94069315481 a prime number? False Is 284375533 composite? True Is 60559637093 composite? True Is 317713247 composite? False Is 1286862667 prime? False Is 36223462739 composite? False Is 1024059709 composite? False Is 1425121463 a prime number? True Is 2622351713 prime? False Is 13044993947 prime? True Is 19240294081 prime? True Is 1741360583 composite? True Is 6538781351 a composite number? True Is 3724304737 a composite number? True Is 2434547 composite? True Is 1949796001 a prime number? True Is 1406262857 a composite number? True Is 2421747037 a prime number? True Is 60580979313 a composite number? True Is 23382175987 a prime number? True Is 3482257483 prime? False Is 191104253 composite? True Is 454545593 a composite number? False Is 1939779319 prime? True Is 2463791194 a prime number? False Is 1888657649 a composite number? True Is 10569188697 a composite number? True Is 24481741729 a prime number? True Is 215720610181 a composite number? False Is 75898816771 a composite number? False Is 6757882613 prime? False Is 14214289 composite? False Is 12679381667 a prime number? False Is 145451531 a composite number? False Is 25199243309 a composite number? False Is 6676453361 a prime number? True Is 14034873761 a composite number? False Is 282663379 a prime number? False Is 3789370237 composite? False Is 1497247463 a prime number? False Is 201460486679 composite? False Is 760897535 composite? True Is 37179749503 a composite number? True Is 5850546919 prime? False Is 1315571083 a composite number? False Is 22500720499 composite? False Is 337414533 a composite number? True Is 3691978037 a composite number? True Is 2884649533 a prime number? False Is 825541571 a composite number? False Is 1074914231 a prime number? False Is 5599270921 a composite number? False Is 411435413 prime? False Is 1456607967 a composite number? True Is 24694291 prime? True Is 319159097 a composite number? False Is 1084164877 prime? False Is 16332736166 composite? True Is 2410646701 a composite number? True Is 718091063 a prime number? True Is 142374587 a prime number? True Is 24085183 composite? False Is 1304058941 a composite number? True Is 894252731 composite? True Is 2546705771 composite? True Is 3011623 composite? True Is 9262268111 prime? True Is 24069734621 composite? True Is 45641831129 a composite number? False Is 562728053 composite? False Is 17857774619 a composite number? False Is 20345762971 composite? True Is 20691740383 prime? False Is 557838469 composite? True Is 876834691 composite? True Is 10023386663 composite? True Is 2794204991 a composite number? True Is 16462940761 a prime number? False Is 18594406011 prime? False Is 714030253 a prime number? True Is 2946162833 a prime number? True Is 764270779 composite? True Is 5260977367 prime? True Is 5401047511 a composite number? False Is 4707504559 a composite number? True Is 1951027439 prime? False Is 37218886693 prime? True Is 1060094317 a prime number? False Is 30606614 a composite number? True Is 23844648983 a composite number? False Is 8265690931 a composite number? False Is 815798471 a prime number? True Is 801878569 composite? False Is 6131357389 a composite number? False Is 20752677623 prime? False Is 13881512089 a prime number? True Is 385691771 a composite number? False Is 7940928881 a composite number? False Is 2164187833 composite? False Is 36932097043 composite? True Is 13684043099 composite? True Is 10423561639 composite? False Is 5488275263 a composite number? False Is 264684167 a prime number? False Is 631050187 a prime number? False Is 1758527711 composite? False Is 24215176463 a prime number? True Is 1056578389 prime? False Is 9478625837 a composite number? True Is 103504788173 a prime number? True Is 1264030811 a composite number? True Is 103023779 prime? False Is 11233521151 a composite number? False Is 3569134505 a prime number? False Is 82436723077 prime? False Is 34049752409 a prime number? True Is 2687398427 prime? False Is 1485622603 a prime number? False Is 451629281 a prime number? False Is 23322100859 a prime number? True Is 172513843 prime? False Is 11616278699 composite? False Is 406741061 a composite number? False Is 5399566021 composite? False Is 4772358641 a composite number? False Is 166126914677 prime? True Is 157638214193 composite? True Is 81514785823 prime? True Is 11808449 prime? True Is 165555974 a composite number? True Is 8570631661 a composite number? False Is 4998624157 composite? False Is 8171814577 a composite number? False Is 465219203 composite? False Is 139462079 prime? True Is 673479911 composite? True Is 155371703 a composite number? False Is 1938842597 a prime number? True Is 171893675281 a prime number? False Is 496260767 prime? True Is 9608430443 a composite number? False Is 72807254893 a prime number? True Is 4372548743 prime? True Is 142697882681 prime? False Is 2668080341 composite? True Is 1870467223 a composite number? False Is 9456558403 a prime number? True Is 16704980197 prime? True Is 3606031733 prime? True Is 39294530377 composite? True Is 1444301654 a composite number? True Is 8588141209 a prime number? False Is 42054577321 a composite number? False Is 6159918839 a prime number? False Is 12124974341 a composite number? True Is 1229218085 a composite number? True Is 220966897 a prime number? False Is 1167969031 a prime number? False Is 10784958967 prime? False Is 20122584257 prime? True Is 211618121327 a prime number? True Is 4706461847 a composite number? False Is 1545662029 prime? True Is 705774281 a composite number? False Is 7128790187 a prime number? False Is 5552037977 prime? True Is 6336584141 a prime number? True Is 464470701 composite? True Is 31312991987 a prime number? False Is 2440969049 a composite number? True Is 7681087027 composite? False Is 1624014559 composite? False Is 5610180997 a composite number? True Is 129405659 a composite number? True Is 4431301993 a prime number? False Is 202890773 a composite number? True Is 21279976639 composite? True Is 1225889867 prime? True Is 8947475917 a composite number? False Is 17271711137 a prime number? False Is 9761422511 composite? False Is 535241341 composite? False Is 9980612699 prime? True Is 443467093 a composite number? False Is 69204583 prime? False Is 323839911553 a prime number? True Is 1181216663 prime? False Is 1068393787 composite? True Is 144094910009 composite? True Is 38951251 prime? True Is 3477007571 prime? True Is 116144843 a prime number? True Is 967183963 a composite number? False Is 112314466997 prime? True Is 2097457679 a prime number? False Is 1145509867 composite? True Is 22209195865 a prime number? False Is 1563385027 a composite number? False Is 3761903699 a prime number? True Is 1358294639 a composite number? True Is 394419317 composit
{ "pile_set_name": "DM Mathematics" }
1 - 1 for i. 3 Let x(c) = -c**3 + c**2 + 1. Let f(b) = 5*b**3 - 2*b**2 - 10. Let o(a) = -f(a) - 6*x(a). Let r be o(4). Solve -k - g + 3 = 0, 3*k = -r*g + 5 + 9 for k. -2 Let q(f) = 20*f**2 + 2*f. Let u be q(-1). Suppose -4*l + 2*k + 3 = 25, u = -l - 2*k. Let j = l - -8. Solve -2 = y - 3*y + 4*n, y + 4*n - 1 = j for y. 1 Let s be 3 + 11/(-4) + (-525)/(-60). Solve -4*k - 15 = -s*k + 5*w, -4*k = -w - 3 for k. 0 Let s(y) be the second derivative of 11*y**3/6 + 49*y**2/2 + 2*y + 31. Let w be s(-4). Solve -o + 5*m = 25, 25 = 4*o - 3*o + w*m for o. 0 Let v be 2/4*(-50)/(-5). Solve 3*l = -v*u + 12, -8*u + 4 = -l - 7*u for l. -1 Suppose 0 = -n + 3*x + 8, 13*x - 10*x = 2*n - 13. Solve 3*f - 6*f = 5*o - 37, -o = -n*f + 15 for f. 4 Let z = 37 + -33. Suppose 0 = -3*m + 3, -5*i - z*m = -m - 13. Solve u = i*f - 2, -2*u - 2*u - 8 = -4*f for f. 0 Let q(g) = g**3 - 7*g**2 + g - 8. Let s be q(7). Let b be (s + 5)/((-10)/(-25)). Let p be (-4)/((-40)/(-115))*-2. Solve k = 6*k + z + p, -4*k - 5*z = b for k. -5 Let w be (-167)/(-11) + 36/(-198). Solve -w = -4*c + d, -c + 3*d + 9 = 2*c for c. 4 Let y be (-30)/(0 + -6) + (-6 - -4). Solve y*o = j - 10, j - 3 = -3*o - 23 for j. -5 Suppose 5*m = -6*m - 22. Let w be (-30)/(-8) - ((-11)/(-4) + m). Solve 0 = 3*n - n + 2*u - 4, -w*n + 11 = 4*u for n. -3 Let y(h) = -h**3 - 6*h**2 + 12*h + 52. Let n be y(-7). Solve 0 = -8*q + 9*q - 2*m - 6, -3*q = m + n for q. -4 Let o be (-4)/10*10/(-2). Suppose -54 = 2*g - 4*m, 0*m - 5*m = 3*g + 48. Let k(y) = -y - 15. Let t be k(g). Solve -j - 4 = o*h - t, 3*j - h = 6 for j. 2 Let g(v) = -v**3 + 4*v**2 + v - 2. Let i be g(4). Suppose -46 + 1 = -3*c. Suppose 7*j - c = i*j. Solve -5*b + 2*u - 6 = -0*b, 5*b - j = -u for b. 0 Let d be 2 - (0 - (5 - 3)). Let g = -62 + 26. Let m = g + 40. Solve d*j + 8 = 2*j + 5*i, j + 4 = m*i for j. -4 Suppose 0 = 5*x - 4*v - 19, 5*x - 12 = 5*v + 8. Solve 0 = -2*d - x*h - 9, -2*h = 5*d + h + 18 for d. -3 Let d(j) = j**3 + 4*j**2 - 6*j + 1. Let x be d(-5). Suppose -144 = -x*u - 2*u. Let s = -18 + u. Solve 2*t + 2*g = -s - 2, 3*g + 3 = -5*t for t. 0 Let i(p) = p**2 + 6. Let n be i(0). Suppose -27 = n*u - 9*u. Let z = 1 + u. Solve -5*v + 0*v - z = -4*s, 0 = -2*s + v + 8 for s. 5 Suppose 8*u - 4*u - 16 = 0. Suppose 5*g + 80 = 4*i, -i + 4*i - 61 = u*g. Suppose 7 = j - i. Solve -4*k = -2*x + j, 0 = -x - k - 1 for x. 3 Let h = -202 + 206. Solve -5*m + 10 + 5 = j, 3*m = -h*j + 9 for m. 3 Suppose 18*w = 70 + 110. Solve -v - 35 = -2*d + 4*v, d - v = w for d. 5 Let m be (-208)/(-12)*6/4. Let b = 37 - m. Let o(w) = -4*w**2 - 71*w - 296. Let s be o(-7). Solve 4*f + 2*p + b = s*p, 0 = 2*f - 3*p + 13 for f. 1 Let q(d) = d + 38. Let c be q(12). Let b = c - 48. Solve 5*z = 2*v + 13, -b*z - 4*v + 2*v = 6 for z. 1 Let x = -8 - 3. Let w = 11 + x. Suppose w = -4*v - 20, -3*v = -2*y + 5 + 32. Solve 0 = -5*r + 2*q + 28, -5*r - 3*q + y = 3 for r. 4 Suppose 4*x = -3*i - 11, 36 - 23 = -4*i - 5*x. Solve i*d + 4 = h - 4, 5*h = -5 for d. -3 Let c = 2 - 0. Let i be (-4)/(1*(-1)/c). Solve -2*w + 2*v = 6*v + i, v + 2 = w for w. 0 Let x(b) = -b - 3. Let c be x(-10). Let z(a) = -a**2 + 7*a + 3. Let i be z(c). Suppose 3*m - 6 = -0. Solve -9 = -m*u - 2*p - 3, i*u - 5*p = 1 for u. 2 Let h = 10 - 11. Let r be h + 1 - (13 - 15). Solve -r*z + 6*k = k - 5, 5*z - 5 = 5*k for z. 0 Let z be 33/2 + (-150)/60. Solve 4*x - 5*k + 38 - 3 = 0, 3*k = x + z for x. -5 Let b(d) = 22*d - 350. Let a be b(16). Solve -5 = -s - 4*s + a*c, s = 2*c + 1 for s. 1 Suppose 4*s - 2*q = 20, -q - 16 = -4*s - 0. Solve -4*l - 8 = 0, 0*l = i + s*l + 4 for i. 2 Suppose 0 = 4*m + 5*d - 0*d - 30, 4*d = 8. Suppose -m*y + 0*y = -8*y. Solve 5*l + y = 3*f + 4, -4*l + 8 = -4*f for f. -3 Let c = 12 - 10. Let k(q) = c*q**2 + 3 - 4*q + 0*q**2 + 0 - 1. Let r be k(2). Solve -4*f = d + 8, 1 = -5*f - d + r*d for f. -1 Let c = 68 + -63. Let s = c - 0. Solve 3*i = 5*x - 27, i - 6*i = s*x + 5 for i. -4 Let i be 0*((-1)/(-2))/((-15)/(-30)). Solve -2 = -q, -4*k - 2*q + 7*q - 14 = i for k. -1 Let a be (-4)/1 + (13 - 25/5). Suppose k + 16 = 5*k. Solve 5*d = -a*j + k*d - 8, -3*j = -3*d - 9 for j. -1 Let o = 109 + -106. Solve -4*g - 3*q + q = -12, -g + o = 2*q for g. 3 Let r = 0 - -2. Suppose 4 = r*t, 13 = -2*g + t + 81. Let j = g - 18. Solve -3*x + 2*d - d = -j, -2*x = d - 3 for x. 4 Let v(t) = t**3 + 9*t**2 + t + 13. Let l be 6/39 - (-238)/(-26). Let w be v(l). Let z = -6 - -22. Solve 3*r = -r + 3*q + 4, 2*q = -w*r - z for r. -2 Suppose -4*s + 2*s + 8 = 0. Let k be 112/84*6/4. Let j be (5 + 1)*k/s. Solve -2*o - 2*a + 7*a + 13 = 0, j*o = 5*a + 12 for o. -1 Suppose -17 = 4*f + 5*b, 0 = -2*b - 0*b + 6. Let k = f - -13. Suppose 2*o - 3*o + 9 = 2*v, -33 = -4*v - k*o. Solve -4*x - v*d = 0, 2 - 8 = 5*x + 4*d for x. 2 Suppose -1 = -b - 0*b, -t - 4*b + 4 = 0. Let a be (t - 2)*(-10)/4. Suppose 2*f - a = 3. Solve 5*x + 5 = 4*j, -40 = f*j + x + 3*x for j. -5 Let k be -3*(3 + (14 - 2)/(-3)). Suppose -4*y = -4*d, y = 5*y - k*d. Solve y = -2*s - 3*v - 8, -4*s + 5*s = v + 6 for s. 2 Suppose 2*b - 5*r = 4*b - 24, -b = -r + 2. Let s(n) = -9*n + 2. Let m be s(2). Let v = 18 + m. Solve b*p + 5*t = -0*p + 6, -8 = v*p - 2*t for p. -2 Let k be (-12)/21*49/(-14). Suppose -5*m + 2 = k*i + 11, 4*i + 2*m = 6. Solve 0 = -5*t - b - 18, -4*t = 7*b - i*b + 8 for t. -4 Suppose -10 = 3378*a - 3380*a. Solve 7 = -3*d - r - a, 2*d - 5*r + 8 = 0 for d. -4 Let r = 7 + 1. Let i(v) = -v**2 - 17*v + 24. Let j be i(-18). Let t = -7 - -10. Solve h = -t*c + j, -3*c - c + r = -h for h. 0 Let a(r) = -r**2 - r + 6. Suppose -2*q + 5*q + 15 = 0. Let u be a(q). Let z be 6/(-21) + (-4)/u. Solve -3*d - 31 = 4*i, z = -0*d - 3*d + 3*i - 3 for d. -5 Let b(s) = -16*s + 57. Let y be b(3). Solve 3*z + y = 0, 4*c = -3*z - 1 + 4 for c. 3 Suppose 6 = -3*c, -2*c - 17 = -m + 3*c. Suppose 4*u + m = -5*y, -5*u + 7*y - 3*y + 22 = 0. Solve -3*d + 3*s - 7 = 5*s, 3*d - u*s - 1 = 0 for d. -1 Let f = -80 + 82. Let d(a) be the third derivative of a**5/60 + a**4/24 + a**3/3 + 2*a**2. Let u be d(-3). Solve 3*w = 4*w - f*m + 2, -4*w - 2*m = u for w. -2 Let c be 34/289 + 202/51*3. Suppose -7*n + 13 = -3*s - 2*n, -15 = -3*n. Suppose s*o - c = -d, d + 7 = o - 1. Solve 5*x = 5*q, -o*x = -2*q - 9*x - 14 for q. -2 Let h = -312 + 312. Solve 3*g - 5*j - 19 = h, -g + 5*j + 7 = -2*g for g. 3 Let a(k) = -17*k**2 - 2*k**3 + 0*k**3 + 15*k + 18 + 3*k**3. Let p be a(16). Solve -h = -2*x - 5, -5 = -p*h + h - 2*x for h. 5 Let u = -21 - -33. Let k = u + -10. Let l = -3 + 8. Solve p + 3*p = 4, l*v + 27 = k*p for v. -5 Let o be (0/(1*-4))/2. Let y(s) = s**2 - 20*s + 39. Let k be y(18). Let a be 3 - (-1 + -2 + k). Solve 3*l - 4*x = -13, o = -4*l - a*x + 13 + 3 for l. 1 Let p(o) = -12*o**3 - 2*o**2 + 2*o + 4. Let n be p(-1). Solve 4*a + 8 = 2*h - 0, -a = -3*h + n for a. 0 Suppose 2*l = -4*r + 28, 5*r + l - 12 = 20. Solve 2*t - 3 = -p, -2*t + r*t - 12 = 0 for p. -3 Suppose 373 = 5*k - 72. Let y = -85 + k. Solve 2*b - 8 = -y*l, -5 = -4*b + 4*l - 25 for b. -2 Suppose -3*q = -2*z - 6*q + 13, -z = -2*q + 4. Solve 0 = 3*r + z*h - 12, -1 = -3*r - 4*h + 11 for r. 4 Let t(l) = l**3 - 10*l**2 + 3*l - 21. Let o be t(10). Solve 2*x - k = -13, -6 - o = 5*x + k for x. -4 Let d(i) = -3*i + 3 + 7*i - 4. Let n be d(8). Suppose 0 = -5*j + f + 10, 5*j + 4*f = 44 - 9. Solve -7*h + 5*v = -3*h - n, -5*h - j*v + 11 = 0 for h. 4 Let s(l) = -2*l**3 - 2*l**2 + 7. Let r be s(0). Solve w - 2*j = -3, 2*j + 25 = w + r*j for w. 5 Let a = -15 - -17. Suppose a*d = 3*d - 4. Solve -3*i - 21 = 2*l, -5*l - 16 - 19 = d*i for l. -3 Suppose 0 = -m - 1, 18 = 3*r - 2*m - 56. Let f = r - 21. Solve 3*i - c = -7, f*i + 5 = i + c for i. -2 Let g = -4 + 8. Let k(t) = -3*t**2 - g + 2*t**2 + 10*t - 5. Let a be k(7). Solve -h - 2 - 2 = i, 3*i + 5*h = -a for i. -4 Let x = 8 - 12. Let l be ((-3)/(-6))/(x/(-32)). Suppose 0*y = -5*y - 2*k + 44, y + 2 = -l*k. Solve s = -3*i - y, 4*i + s - 2 = -14 for i. -2 Suppose 52*d - 32 = 44*d. Solve -d*v - 2*k = -3*k + 13, -5*v + 5*k = 35 for v. -2 Let x = 34 + -31. Suppose -n - 4*n + 25 = 0. Let k(v) = v**2 - 4*v - 1. Let g be k(n). Solve 3*z + z + 16 = l, x*l - 8 = g*z for z. -5 Let k = 3 + 12. Let n(d) = -3*d - 1. Let r be n(-1). Suppose 0 = 4*t - 5*t + r. Solve -3*i - 3*u = k, 0*u - t*u + 6 = -2*i for i. -4 Suppose -7*a = -4*a + 2*i + 186, a = i - 57. Le
{ "pile_set_name": "DM Mathematics" }
? -359528288 What is the derivative of -4577988*u**3 + 2*u**2 + 55620504? -13733964*u**2 + 4*u What is the second derivative of -333*c**3 - 2*c**2*u - 6207*c**2 - 14480*c*u - 2*c + 55 wrt c? -1998*c - 4*u - 12414 Find the third derivative of 940814*g**6 - 24*g**4 + 14037*g**2 - 4*g - 1 wrt g. 112897680*g**3 - 576*g Find the first derivative of 480*d**4 - d**3 - 2*d**2 - 45*d - 1662813 wrt d. 1920*d**3 - 3*d**2 - 4*d - 45 Find the second derivative of -12722381*f**3 + 4*f**2 - 12386231*f - 8 wrt f. -76334286*f + 8 What is the third derivative of -81744533*y**4 - 23*y**2 - 105*y - 9754? -1961868792*y What is the second derivative of 4788*t**3 + 61*t**2 - 7002250*t? 28728*t + 122 What is the second derivative of 10165*m**4 - 563*m**3*w + m*w + 2*m - 64419*w wrt m? 121980*m**2 - 3378*m*w Find the third derivative of -526508*g**6*t*y - 12*g**4*y + 296*g**2*t*y + 2*g**2*t + 3*g*t - 11*g*y - 2*t*y wrt g. -63180960*g**3*t*y - 288*g*y Find the second derivative of 359*d**2*l**2 + 10484*d**2*l - 4*d**2 - 1981*d*l**2 + d*l + 252*d - 5*l**2 - 2*l wrt d. 718*l**2 + 20968*l - 8 Find the third derivative of 121172047*u**3 + 2*u**2 + 18861638*u - 1. 727032282 What is the third derivative of -l*m**4 - 2*l*m**2 + 120*l*s + 2440476*m**4*s + 7*m**2*s + 332*m**2 wrt m? -24*l*m + 58571424*m*s Find the first derivative of 3*w**3 + 5578196*w + 26251689. 9*w**2 + 5578196 What is the derivative of 50860444*m - 141512979? 50860444 What is the derivative of -477413*b**3 + 56*b + 43477874 wrt b? -1432239*b**2 + 56 What is the second derivative of -33232135*j**2 - 262030508*j wrt j? -66464270 Find the third derivative of 787269450*i**3 - 482011521*i**2. 4723616700 Find the second derivative of 155211417*s**5 + 37138106*s + 5. 3104228340*s**3 Find the third derivative of -2*h*m**3 - 44*h*m**2*u + 2*h*m**2 - 5*h*m*w**2 - 27371*h*w**3 - 5*m**3*w**3 + 6*m*u*w**3 + 6*m*w**2 + w wrt w. -164226*h - 30*m**3 + 36*m*u What is the third derivative of 334395708*j**4 + 39977058*j**2 - j? 8025496992*j Find the third derivative of -61186*v**4 - 51*v**3 + 103*v**2 - 33574. -1468464*v - 306 Find the third derivative of 796976*n**3 + 3800*n**2 + 41998. 4781856 What is the second derivative of 77613186*y**2 + 44412080*y? 155226372 What is the third derivative of 92085429*u**3 + 4062*u**2 - 5*u + 1360 wrt u? 552512574 What is the first derivative of 43183663*y**4 - 28897547 wrt y? 172734652*y**3 What is the third derivative of -6096186*k**4 + 2*k**3*y - 8*k**2*y + 2*k**2 + 5861*k*y - 2*k - 8 wrt k? -146308464*k + 12*y What is the second derivative of 2831916*q**5 + 2730956*q? 56638320*q**3 Find the third derivative of 2781*n*r**3 - 597*n*r**2 + 7330*r**5 - 26464*r**2 wrt r. 16686*n + 439800*r**2 Find the first derivative of -2*d*n**2*u - 1439*d*u**2 + 82*d - 88254*n**2*u**2 - 2*n**2 - n*u**2 wrt d. -2*n**2*u - 1439*u**2 + 82 Find the second derivative of 2*k**3*z**4 - 9282*k**3 + 10758*z**3 - 64*z**2 - 10*z - 4 wrt z. 24*k**3*z**2 + 64548*z - 128 What is the second derivative of 863642966*x**3 - 571083596*x + 1 wrt x? 5181857796*x What is the derivative of -2126277*r**4 - 6910576 wrt r? -8505108*r**3 Find the third derivative of -18772135*b**3 + 2*b**2 - 11613*b + 14 wrt b. -112632810 Find the first derivative of -150343*a*l*v + a*l - 808*a*v + 2*l*v - 8076546*v wrt a. -150343*l*v + l - 808*v What is the first derivative of -15*p**3 - 1159610*p**2 + 104245934? -45*p**2 - 2319220*p Differentiate -54241403*l**4 - 38013168 wrt l. -216965612*l**3 What is the third derivative of -7004*i*y**5 + 18816*i*y**2 + 2*i*y + 7*i - 3684*y**6 - 4*y**2 + 7 wrt y? -420240*i*y**2 - 442080*y**3 Find the second derivative of 8*u**4*w + 13439990*u**3 - 80818037*u*w + 4*w wrt u. 96*u**2*w + 80639940*u Find the third derivative of 84189*z**5 - 15*z**4 - 5*z**3 - 55982*z**2 - 178*z wrt z. 5051340*z**2 - 360*z - 30 What is the third derivative of -18535401*h**3 - 85*h**2 + 7105? -111212406 What is the first derivative of 23*z**4 - 173*z**2 - 72*z + 2733814? 92*z**3 - 346*z - 72 What is the third derivative of -809*o**4 - 5473*o**3 - 881957*o**2 - o + 1 wrt o? -19416*o - 32838 Differentiate 32569*f**3 - 5696*f**2 - 76461745. 97707*f**2 - 11392*f Find the second derivative of 26448513*j**3 - 210*j + 66268. 158691078*j Find the first derivative of -2*d**2*r + d**2 - 8*d*r - 600955*d - 54698226*r wrt d. -4*d*r + 2*d - 8*r - 600955 Differentiate -221992839*d**2*q + 288650*d**2 + d - 29 with respect to q. -221992839*d**2 What is the third derivative of 6697*y**5 - 405*y**4 - 6*y**3 - 5525206*y**2 - 15 wrt y? 401820*y**2 - 9720*y - 36 What is the third derivative of 24907836*v**3 + 3*v**2 + 747509*v + 3 wrt v? 149447016 Find the second derivative of -2543869*h**4 + 87*h + 328348. -30526428*h**2 Find the second derivative of 51729*a**3*r**3 + 2*a**3*r + 36*a**2*r - 38*a - 11*r**3 - 115 wrt r. 310374*a**3*r - 66*r What is the derivative of -96985093*f*r**2 - 2*r**2 - 22*r + 611048 wrt f? -96985093*r**2 What is the second derivative of -1218408*c**3 + 3*c**2 + 1159777*c? -7310448*c + 6 Differentiate -120427*u**2 - 124*u - 270999286 wrt u. -240854*u - 124 What is the second derivative of 291*z**5 + 191*z**4 + 633*z**3 - 276205329*z wrt z? 5820*z**3 + 2292*z**2 + 3798*z What is the derivative of 9036735*h*k + 384*k + 11359 wrt h? 9036735*k What is the third derivative of -21106862*i**3*u**2 + 4*i**2*u + i**2 - 12575*i*u**2 wrt i? -126641172*u**2 What is the derivative of 204*g**4*z + 302632*g**2*z + 65994*z - 2815 wrt g? 816*g**3*z + 605264*g*z What is the second derivative of 14548429*w**3 + 3409170*w wrt w? 87290574*w What is the third derivative of -14*a**3*g**3 + 2*a**3*g + 45305*a*g**3 + 3*a*g**2 - 6*a*g - 333*a + 4*g**3 - 3 wrt g? -84*a**3 + 271830*a + 24 Find the first derivative of -165150*l**2 + 6*l - 6598883 wrt l. -330300*l + 6 Find the second derivative of 5217710*v**4 - 3*v**3 + 2*v**2 + 60809599*v - 2. 62612520*v**2 - 18*v + 4 Find the second derivative of 14484*a**3*t**2 - 863*a**2*t**2 - 62*a*t**2 - 907587*t**2 wrt a. 86904*a*t**2 - 1726*t**2 Find the third derivative of 131457*w**6 - 602*w**3 + 600905848*w**2 wrt w. 15774840*w**3 - 3612 What is the third derivative of 706791945*k**3 + 243924197*k**2 - 1? 4240751670 What is the third derivative of -94770699*u**4 + 212430942*u**2? -2274496776*u What is the second derivative of -18*r**4 + 3292*r**3 + r**2 - 1590970*r? -216*r**2 + 19752*r + 2 What is the derivative of -16*q*r**2*s**2 + 505136*q*s**3 - 2*r**2*s**3 - 2*r**2*s - r*s**3 + 2984*r*s**2 - 5*r*s + r wrt q? -16*r**2*s**2 + 505136*s**3 Find the second derivative of 46157023*h**3 + 201661744*h. 276942138*h Find the second derivative of 9708760*b**3 + 13662681*b. 58252560*b Find the second derivative of 82601*l**2*o**3 - 2*l**2*o + 2839*l**2 - 1089*l*o**2 - o + 2982 wrt o. 495606*l**2*o - 2178*l Differentiate -500*p**3*t**2 + 7436417*p**3 + 1776*t**2 wrt t. -1000*p**3*t + 3552*t Find the first derivative of -24574*h*j**3*u + 72*h*u**3 - j**3*u**3 + 18775*j**3*u**2 - 4*j**2*u**3 - 2*j**2*u - 2 wrt h. -24574*j**3*u + 72*u**3 What is the second derivative of -35*a**2*k**2 + 10549*a**2*k - 42*a**2 + 358*a*k**2 + 72635*a wrt a? -70*k**2 + 21098*k - 84 Find the third derivative of 2*a**4*c**2 + 85846501*a**4 + 2*a**2*c**2 - a**2*c + 11804*a**2 - 228*a*c**2 - 3*a*c - 1 wrt a. 48*a*c**2 + 2060316024*a What is the third derivative of 566614522*l**4*m**2 - 70*l**2*m**2 - 301*l**2*m + 2*l*m**2 - 188*l - 2*m**2 wrt l? 13598748528*l*m**2 What is the derivative of 14958*r**2 + 285*r - 22580448 wrt r? 29916*r + 285 Differentiate 72*c**3 + 15657*c - 6464803. 216*c**2 + 15657 Find the second derivative of 3969*h**4 + 3*h**3 + 4905*h**2 - 1399209*h - 83 wrt h. 47628*h**2 + 18*h + 9810 Find the second derivative of -489320602*m*o**5 - 463619802*m*o wrt o. -9786412040*m*o**3 What is the first derivative of -2882*m**2*w**2 + 175056*m**2 - 131*m*w - m - 11*w**2 + 22 wrt w? -5764*m**2*w - 131*m - 22*w What is the first derivative of 2258*q**2 - 2150*q + 13737553? 4516*q - 2150 Find the first derivative of -11132194*m + 16707083 wrt m. -11132194 Differentiate -4*a*w**2 - 1632372*a*w + 1393508*a - 11 wrt w. -8*a*w - 1632372*a Find the third derivative of -38046740*j*u**3 - 3812341*j*u - u**3 - u**2 - 9 wrt u. -228280440*j - 6 What
{ "pile_set_name": "DM Mathematics" }
6 What is 60571932 to the power of 1/2, to the nearest integer? 7783 What is 2462799099 to the power of 1/2, to the nearest integer? 49627 What is 259283173 to the power of 1/7, to the nearest integer? 16 What is 9619428 to the power of 1/3, to the nearest integer? 213 What is 37441581 to the power of 1/2, to the nearest integer? 6119 What is 230232936 to the power of 1/10, to the nearest integer? 7 What is the cube root of 122476036 to the nearest integer? 497 What is the square root of 238362336 to the nearest integer? 15439 What is 78473442 to the power of 1/2, to the nearest integer? 8859 What is the third root of 2022998064 to the nearest integer? 1265 What is 898819015 to the power of 1/3, to the nearest integer? 965 What is the cube root of 23356173 to the nearest integer? 286 What is the square root of 4807084508 to the nearest integer? 69333 What is 685011122 to the power of 1/2, to the nearest integer? 26173 What is 1754658355 to the power of 1/3, to the nearest integer? 1206 What is the cube root of 1098682108 to the nearest integer? 1032 What is the square root of 5573250086 to the nearest integer? 74654 What is the fourth root of 523000568 to the nearest integer? 151 What is the third root of 6219027 to the nearest integer? 184 What is the eighth root of 26535929 to the nearest integer? 8 What is the cube root of 448768215 to the nearest integer? 766 What is 11460541 to the power of 1/10, to the nearest integer? 5 What is the seventh root of 698193727 to the nearest integer? 18 What is the square root of 201963997 to the nearest integer? 14211 What is 2783757592 to the power of 1/5, to the nearest integer? 77 What is 886616359 to the power of 1/2, to the nearest integer? 29776 What is the square root of 25026556 to the nearest integer? 5003 What is 2657890314 to the power of 1/2, to the nearest integer? 51555 What is 275123492 to the power of 1/7, to the nearest integer? 16 What is the seventh root of 6233967245 to the nearest integer? 25 What is the square root of 2140239519 to the nearest integer? 46263 What is 160740977 to the power of 1/2, to the nearest integer? 12678 What is the cube root of 579589054 to the nearest integer? 834 What is the third root of 396138001 to the nearest integer? 734 What is the cube root of 484426911 to the nearest integer? 785 What is 497115854 to the power of 1/3, to the nearest integer? 792 What is the square root of 63020933 to the nearest integer? 7939 What is the tenth root of 193899018 to the nearest integer? 7 What is the seventh root of 26896694 to the nearest integer? 12 What is the square root of 1352641772 to the nearest integer? 36778 What is 85807103 to the power of 1/2, to the nearest integer? 9263 What is the sixth root of 213678082 to the nearest integer? 24 What is 61260588 to the power of 1/3, to the nearest integer? 394 What is the square root of 394697470 to the nearest integer? 19867 What is the seventh root of 22984966 to the nearest integer? 11 What is 2134652815 to the power of 1/6, to the nearest integer? 36 What is the cube root of 5188488 to the nearest integer? 173 What is the ninth root of 231239324 to the nearest integer? 8 What is 145093598 to the power of 1/2, to the nearest integer? 12045 What is the sixth root of 893682044 to the nearest integer? 31 What is the tenth root of 354978046 to the nearest integer? 7 What is 37114219 to the power of 1/3, to the nearest integer? 334 What is the cube root of 82451054 to the nearest integer? 435 What is 1051704212 to the power of 1/6, to the nearest integer? 32 What is the cube root of 58903065 to the nearest integer? 389 What is 177919733 to the power of 1/3, to the nearest integer? 562 What is the third root of 11161750 to the nearest integer? 223 What is the square root of 1121780855 to the nearest integer? 33493 What is the fourth root of 42488526 to the nearest integer? 81 What is 41211362 to the power of 1/10, to the nearest integer? 6 What is 100930606 to the power of 1/2, to the nearest integer? 10046 What is the fifth root of 2622249121 to the nearest integer? 77 What is 73609947 to the power of 1/3, to the nearest integer? 419 What is the eighth root of 67275453 to the nearest integer? 10 What is the square root of 28899795 to the nearest integer? 5376 What is the sixth root of 161641506 to the nearest integer? 23 What is 14707972 to the power of 1/2, to the nearest integer? 3835 What is the third root of 4936119891 to the nearest integer? 1703 What is 1252127850 to the power of 1/2, to the nearest integer? 35385 What is the square root of 617478098 to the nearest integer? 24849 What is 90784019 to the power of 1/5, to the nearest integer? 39 What is 4267266 to the power of 1/2, to the nearest integer? 2066 What is 95870458 to the power of 1/3, to the nearest integer? 458 What is the cube root of 522577658 to the nearest integer? 805 What is the eighth root of 558758682 to the nearest integer? 12 What is the third root of 270593535 to the nearest integer? 647 What is the fifth root of 70369724 to the nearest integer? 37 What is 17505445 to the power of 1/2, to the nearest integer? 4184 What is 6138433736 to the power of 1/4, to the nearest integer? 280 What is 564303572 to the power of 1/8, to the nearest integer? 12 What is the third root of 48034759 to the nearest integer? 364 What is 2324697865 to the power of 1/4, to the nearest integer? 220 What is 12171931 to the power of 1/2, to the nearest integer? 3489 What is 2087847955 to the power of 1/3, to the nearest integer? 1278 What is the eighth root of 4752455947 to the nearest integer? 16 What is the square root of 177016551 to the nearest integer? 13305 What is the square root of 7006239 to the nearest integer? 2647 What is the square root of 955567261 to the nearest integer? 30912 What is 31007940 to the power of 1/2, to the nearest integer? 5568 What is 75541065 to the power of 1/2, to the nearest integer? 8691 What is 14145506 to the power of 1/6, to the nearest integer? 16 What is the fifth root of 1514519479 to the nearest integer? 69 What is the tenth root of 789270475 to the nearest integer? 8 What is 696210160 to the power of 1/2, to the nearest integer? 26386 What is the square root of 1608166802 to the nearest integer? 40102 What is the fourth root of 2436605664 to the nearest integer? 222 What is 2748939035 to the power of 1/6, to the nearest integer? 37 What is 382012313 to the power of 1/6, to the nearest integer? 27 What is 106660513 to the power of 1/2, to the nearest integer? 10328 What is 2303675 to the power of 1/5, to the nearest integer? 19 What is 147332794 to the power of 1/6, to the nearest integer? 23 What is the cube root of 228408331 to the nearest integer? 611 What is the square root of 830995968 to the nearest integer? 28827 What is the third root of 28033589 to the nearest integer? 304 What is the eighth root of 135968533 to the nearest integer? 10 What is 625101718 to the power of 1/6, to the nearest integer? 29 What is 136275584 to the power of 1/3, to the nearest integer? 515 What is the third root of 723398939 to the nearest integer? 898 What is the square root of 7270648949 to the nearest integer? 85268 What is 479777484 to the power of 1/6, to the nearest integer? 28 What is the third root of 78494725 to the nearest integer? 428 What is the square root of 11280136 to the nearest integer? 3359 What is 708991010 to the power of 1/5, to the nearest integer? 59 What is the fifth root of 376338498 to the nearest integer? 52 What is the third root of 162924145 to the nearest integer? 546 What is the square root of 12627429 to the nearest integer? 3554 What is the square root of 9161710 to the nearest integer? 3027 What is 301718571 to the power of 1/7, to the nearest integer? 16 What is the cube root of 38947564 to the nearest integer? 339 What is the square root of 193905296 to the nearest integer? 13925 What is 5975269526 to the power of 1/3, to the nearest integer? 1815 What is the square root of 15335134 to the nearest integer? 3916 What is 569974813 to the power of 1/2, to the nearest integer? 23874 What is the square root of 971878706 to the nearest integer? 31175 What is the third root of 71212440 to the nearest integer
{ "pile_set_name": "DM Mathematics" }
g 1 g, 1 j, and 1 f. 3/143 Four letters picked without replacement from {z: 3, n: 1, l: 3, e: 2, s: 2, d: 1}. What is prob of picking 1 d and 3 l? 1/495 Two letters picked without replacement from gkrgcggppspgpck. What is prob of picking 1 k and 1 r? 2/105 Two letters picked without replacement from rdbxdnn. What is prob of picking 1 n and 1 d? 4/21 Two letters picked without replacement from {q: 2, b: 1}. What is prob of picking 1 b and 1 q? 2/3 Two letters picked without replacement from zrqrqqqovvvvgqvvgzgv. Give prob of picking 1 q and 1 o. 1/38 What is prob of picking 1 q and 3 k when four letters picked without replacement from {y: 3, a: 1, l: 2, q: 3, k: 3, r: 2}? 3/1001 Four letters picked without replacement from {w: 1, c: 2, d: 3, b: 3, f: 6}. Give prob of picking 2 f and 2 c. 1/91 Two letters picked without replacement from qjqjjqjjjqjjp. What is prob of picking 1 q and 1 j? 16/39 Calculate prob of picking 1 p and 1 v when two letters picked without replacement from ppvphpmv. 2/7 Three letters picked without replacement from {q: 2, p: 16}. What is prob of picking 2 q and 1 p? 1/51 Four letters picked without replacement from {d: 1, q: 1, e: 2, r: 2, k: 2}. Give prob of picking 1 e, 1 d, and 2 r. 1/35 Calculate prob of picking 2 y when two letters picked without replacement from {r: 6, y: 5, u: 5, f: 1}. 5/68 Two letters picked without replacement from mvgtvnnhnhhthvn. Give prob of picking 1 n and 1 h. 16/105 Four letters picked without replacement from {k: 1, t: 3, a: 1, e: 2, p: 1, x: 4}. What is prob of picking 1 t, 1 e, 1 k, and 1 x? 8/165 Three letters picked without replacement from {o: 3, k: 3, u: 4, t: 3}. What is prob of picking 3 o? 1/286 Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {u: 4, x: 7}. 28/55 What is prob of picking 3 b when three letters picked without replacement from jbjbjbjjjjjjjjjj? 1/560 Calculate prob of picking 1 e and 2 b when three letters picked without replacement from {b: 5, z: 1, e: 2, t: 1, k: 1}. 1/6 What is prob of picking 1 f and 1 x when two letters picked without replacement from {d: 8, f: 6, x: 1}? 2/35 What is prob of picking 1 t, 1 f, 1 n, and 1 l when four letters picked without replacement from pnhnfpntnpnl? 1/99 Three letters picked without replacement from {a: 1, r: 5, e: 1, b: 3, z: 3}. Give prob of picking 2 z and 1 r. 15/286 Three letters picked without replacement from uuududddqduuddqquq. Give prob of picking 1 q and 2 d. 7/68 Calculate prob of picking 2 j and 1 o when three letters picked without replacement from qjqqoojqqqqq. 1/110 Calculate prob of picking 3 c when three letters picked without replacement from ccckkkkckccc. 7/44 Two letters picked without replacement from {i: 2, m: 1, j: 1, g: 1, t: 3, l: 3}. Give prob of picking 1 j and 1 l. 3/55 Four letters picked without replacement from kkippppkipgkkppkppk. Give prob of picking 2 i, 1 p, and 1 k. 21/1292 Two letters picked without replacement from qqqddqdqqqd. Give prob of picking 2 q. 21/55 Two letters picked without replacement from xzlcxcjez. What is prob of picking 1 e and 1 l? 1/36 Four letters picked without replacement from ueeeius. Give prob of picking 2 u, 1 e, and 1 s. 3/35 What is prob of picking 1 k and 1 z when two letters picked without replacement from {x: 7, z: 3, k: 2}? 1/11 Four letters picked without replacement from {h: 3, q: 1, r: 6, i: 2, j: 1}. Give prob of picking 2 i, 1 r, and 1 j. 6/715 Two letters picked without replacement from hhhhhhfhhhhh. Give prob of picking 2 h. 5/6 Calculate prob of picking 2 h when two letters picked without replacement from {z: 13, h: 3}. 1/40 Two letters picked without replacement from fiiffftdltim. What is prob of picking 2 l? 0 What is prob of picking 2 q when two letters picked without replacement from {q: 2, p: 17}? 1/171 Two letters picked without replacement from zhattozllzza. Give prob of picking 1 h and 1 l. 1/33 Calculate prob of picking 1 a and 2 g when three letters picked without replacement from {g: 6, a: 3, j: 4, i: 6}. 15/323 Calculate prob of picking 1 d and 2 m when three letters picked without replacement from {m: 3, q: 2, a: 8, d: 2}. 6/455 What is prob of picking 2 j and 1 s when three letters picked without replacement from sjssjsjsjssjs? 40/143 Three letters picked without replacement from {r: 5, s: 7}. What is prob of picking 1 r and 2 s? 21/44 Calculate prob of picking 1 l and 1 v when two letters picked without replacement from {l: 3, v: 5}. 15/28 Calculate prob of picking 1 p, 1 o, and 1 c when three letters picked without replacement from pnnnccocpnpcpnnpc. 5/136 Four letters picked without replacement from {v: 6, h: 1, z: 1, i: 2, o: 2}. Give prob of picking 2 i, 1 h, and 1 o. 2/495 What is prob of picking 2 u and 1 w when three letters picked without replacement from {o: 2, u: 6, t: 4, w: 1}? 15/286 Two letters picked without replacement from ffndnnw. Give prob of picking 2 n. 1/7 Two letters picked without replacement from {i: 1, f: 1, q: 3, u: 2}. What is prob of picking 1 u and 1 f? 2/21 Two letters picked without replacement from {o: 7, c: 7, k: 5}. What is prob of picking 2 o? 7/57 What is prob of picking 1 w and 1 u when two letters picked without replacement from {k: 2, w: 2, o: 1, u: 1, n: 1, h: 1}? 1/14 Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {o: 1, x: 1, v: 1, z: 1, i: 2, m: 1}. 1/21 Two letters picked without replacement from mmqmqmqqmqqmmqqmqmqq. What is prob of picking 2 m? 18/95 Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, v: 4, w: 2, r: 2, x: 3}. 1/78 Four letters picked without replacement from zjzzjfzcpjjijzfj. Give prob of picking 1 z, 1 f, and 2 j. 15/182 Four letters picked without replacement from {g: 3, b: 3, s: 11, q: 3}. Give prob of picking 1 b, 1 g, and 2 q. 9/1615 What is prob of picking 1 y and 1 g when two letters picked without replacement from kykykkygkgkgkyyggyky? 7/38 What is prob of picking 1 s, 1 t, 1 d, and 1 e when four letters picked without replacement from rstettrtrstedter? 9/455 Calculate prob of picking 2 y when two letters picked without replacement from {o: 1, y: 2, e: 2, n: 2, s: 1}. 1/28 Calculate prob of picking 1 q and 2 h when three letters picked without replacement from nqfqhhyn. 1/28 What is prob of picking 3 t and 1 w when four letters picked without replacement from ofttnnfnwooiootff? 1/2380 Calculate prob of picking 2 r when two letters picked without replacement from {r: 8, u: 2}. 28/45 What is prob of picking 1 s and 3 m when four letters picked without replacement from ssewwmeesmswwme? 4/1365 What is prob of picking 1 t and 2 o when three letters picked without replacement from ofoofofttof? 4/33 What is prob of picking 1 v and 2 d when three letters picked without replacement from {d: 2, v: 3}? 3/10 Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {m: 1, g: 1, z: 1, d: 1, l: 3}. 1/21 Four letters picked without replacement from reerrrrr. Give prob of picking 2 e and 2 r. 3/14 Four letters picked without replacement from {q: 2, z: 11, f: 1, u: 1, y: 2, h: 1}. What is prob of picking 2 z and 2 q? 11/612 What is prob of picking 3 p when three letters picked without replacement from {s: 3, p: 5}? 5/28 What is prob of picking 2 p when two letters picked without replacement from {a: 1, p: 4, c: 4, q: 1, j: 1}? 6/55 Calculate prob of picking 3 n when three letters picked without replacement from {n: 10, m: 2, y: 3, w: 3}. 5/34 Four letters picked without replacement from zzgnggznggggnz. Give prob of picking 1 n, 2 g, and 1 z. 36/143 Four letters picked without replacement from kkkbkbbkkkk. What is prob of picking 4 k? 7/33 Two letters picked without replacement from cccjjjjfjjcffjfc. What is prob of picking 2 f? 1/20 Four letters picked without replacement from gznzganzggzgzgn. What is prob of picking 1 a, 1 g, and 2 n? 6/455 Calculate prob of picking 1 q and 1 m when two letters picked without replacement from {d: 2, q: 11, m: 1, i: 1, z: 4}. 11/171 Four letters picked without replacement from {x: 1, l: 11, w: 7}. Give prob of picking 4 l. 55/646 Calculate prob of picking 1 c, 1 m, and 1 z when three letters picked without
{ "pile_set_name": "DM Mathematics" }
at is the closest to -2/9 in -4, -2/247, -2/11? -2/11 Which is the closest to 0? (a) 1/4 (b) 149 (c) -5/3 a What is the closest to 1/2 in 0.5, 2/13, -4, 2/9? 0.5 What is the closest to -0.1 in 3, 2, 1.5, 0.2? 0.2 Which is the closest to -2? (a) -2/183 (b) 2 (c) -0.3 (d) 0.3 c Which is the nearest to 2/7? (a) 2 (b) -0.4 (c) 3/119 c Which is the nearest to -12? (a) 2 (b) 5 (c) -1 c Which is the nearest to -1/4? (a) -2/11 (b) -39 (c) 3 (d) 5 a Which is the closest to -0.2? (a) 4 (b) 0 (c) -0.1 (d) -0.2 d Which is the nearest to 3? (a) 0.3 (b) -2/13 (c) 7 a What is the nearest to -1/2 in -2/31, -1/6, 0.4? -1/6 What is the closest to 0.2 in 0.5, -1/4, 0, 143? 0 Which is the closest to 1/6? (a) -2 (b) -17 (c) 8/7 (d) -0.5 d Which is the nearest to -0.2? (a) 2 (b) -0.3 (c) -1 b Which is the closest to -8? (a) -4 (b) 62 (c) 0.5 a Which is the nearest to -2/3? (a) 3 (b) 2.9 (c) -2 (d) -3 c Which is the closest to -2? (a) 5 (b) 193 (c) -0.2 c Which is the nearest to 8/5? (a) -73 (b) -3 (c) -1/9 (d) -1 c Which is the closest to -1? (a) 0 (b) -0.21 (c) 3/7 b What is the nearest to 5 in -4/7, 2/13, -10? 2/13 Which is the nearest to 0.1? (a) -17 (b) -2/3 (c) 0 c Which is the closest to -1/4? (a) 5 (b) -5 (c) 4/3 (d) 1/4 d Which is the nearest to -2/15? (a) 0.3 (b) -1 (c) -0.2 c What is the closest to -2/9 in 1/3, 16, 2/11? 2/11 Which is the nearest to -1? (a) 6/5 (b) -3.5 (c) -0.4 (d) -3/8 c What is the closest to 102 in 1/4, -2, 0? 1/4 What is the nearest to -1/3 in -0.2, 4/5, 4, -28? -0.2 What is the nearest to 1 in -4, -0.1, -1.7, -16/15? -0.1 Which is the closest to 0? (a) 1 (b) 2/7 (c) 5 (d) -0.43 b What is the nearest to 0 in 1/2, 9, 2/13? 2/13 Which is the closest to -1? (a) -0.3 (b) -2/11 (c) -13 a Which is the closest to 4? (a) -0.4 (b) 1/2 (c) 12 b What is the closest to -15 in -2/21, 11, -2, -1/2? -2 Which is the closest to 2/3? (a) 2 (b) 0.5 (c) 13 (d) -3 b What is the closest to 0.2 in -2/3, -3, 33, -1/4? -1/4 Which is the closest to 1? (a) -3 (b) 2 (c) 182/11 b What is the nearest to -2 in 4, -5/4, -0.06? -5/4 Which is the nearest to 2/7? (a) 3 (b) 0.5 (c) 31 (d) 0 b What is the nearest to -1 in 3, 1/3, -2/13, -3? -2/13 Which is the nearest to -2? (a) 14 (b) 0.03 (c) 16 b Which is the closest to 54? (a) 4/5 (b) -0.5 (c) 1/8 a Which is the closest to 2/7? (a) 1.6 (b) 5 (c) -4 (d) -20 a Which is the nearest to 3? (a) -5/6 (b) -4 (c) 0.3 c What is the closest to -2/5 in -0.24, -0.3, 0.2, 4? -0.3 Which is the closest to 1/35? (a) 3 (b) 0.03 (c) -5 b Which is the closest to 0.1? (a) -3 (b) -24/5 (c) -4 a Which is the closest to -1/8? (a) 3 (b) -1/8 (c) -3/7 (d) -0.02 b What is the nearest to 1 in -3/32, 0.03, 1, 2? 1 What is the nearest to -0.1 in 3, 0, 5? 0 Which is the closest to -5? (a) 2 (b) -6 (c) -2 (d) 1/4 b Which is the closest to 57? (a) -0.1 (b) -2/9 (c) -2/15 (d) 2 d What is the nearest to 0 in 0, -1/34, -5, -16? 0 What is the nearest to -0.2 in 0.3, 0.6, 4, 0.01? 0.01 Which is the nearest to 1? (a) 0.15 (b) -0.3 (c) -1.7 a Which is the closest to 0.2? (a) -9 (b) 0.3 (c) -2.89 b What is the nearest to -5 in 1/2, 0.4, -2/7? -2/7 Which is the closest to 1? (a) 8/9 (b) -1/3 (c) 2/7 (d) 0.3 a Which is the nearest to 0? (a) 0.01 (b) -2 (c) 0.25 a What is the closest to -8 in -5, 0.1, 0.02, 0.2? -5 What is the closest to 0.2 in 8/5, -4, 2/3, -0.4? 2/3 What is the closest to -1 in -3/4, 1, -3/52? -3/4 Which is the nearest to -17? (a) -4 (b) 1 (c) -0.4 a Which is the nearest to 0? (a) 2/3 (b) -4 (c) 10 (d) -1 a Which is the closest to -1/23? (a) 1 (b) 1/3 (c) -4/3 (d) 0.6 b What is the closest to 0 in -17.1, -0.1, 1/8? -0.1 Which is the nearest to -2? (a) -20.2 (b) 2 (c) 0.1 c What is the closest to 1 in 1/7, -48, 1, -1/3? 1 What is the closest to 4 in -1, 0, 0.4? 0.4 What is the nearest to -50 in -3, -0.4, -1/5? -3 Which is the closest to -2? (a) 0.1 (b) 5 (c) -0.3 (d) -1 d Which is the closest to -2? (a) -2/3 (b) 2 (c) -2/7 (d) 0.08 a What is the closest to 1 in -269, -0.4, -1/7? -1/7 What is the closest to -2/3 in -0.3, 0.4, -1/596? -0.3 What is the nearest to 2/19 in -1/18, 2/5, -4, 0.1? 0.1 What is the closest to -0.2 in 0.3, -0.09, -0.1? -0.1 What is the closest to 56 in -3, 1, 0.4? 1 What is the nearest to -0.1 in 5, -0.075, -0.1, -2? -0.1 Which is the closest to 3? (a) -2/931 (b) 0 (c) -1/5 b What is the closest to -3 in 3, 0.05, -64? 0.05 What is the closest to 0.1 in 0.4, -0.1, -134, 3/7? -0.1 What is the closest to 0.2 in 34, 1, 13, 2/3? 2/3 Which is the closest to 1? (a) -58 (b) -4 (c) 0.02 c What is the nearest to 3/4 in 1, 0.2, 2/13, -5? 1 Which is the nearest to 2? (a) 3 (b) -5 (c) 7 (d) -2/5 a What is the nearest to 0 in -3/11, 0.3, 5, 18/11? -3/11 What is the nearest to 1/2 in 13, -3/4, -2? -3/4 Which is the closest to 24? (a) -2/13 (b) 1/4 (c) 1/3 c Which is the nearest to -3? (a) 3/4 (b) 4 (c) 3 (d) -0.6 d What is the closest to 8 in 0.3, 0.1, -1/9, -1? 0.3 Which is the nearest to -6? (a) -1 (b) -4 (c) 3 (d) 1 b What is the closest to -2 in 23, 0.1, 0.4? 0.1 What is the nearest to 5 in -0.2, 1, 19, -3/7? 1 What is the nearest to -7 in 2/9, -0.17, 5, -4? -4 What is the closest to -25 in 2/7, -1/4, -1, -0.3? -1 What is the nearest to 0.1 in -4, 0.155, 5, -2? 0.155 Which is the closest to 2/3? (a) -0.02 (b) -5 (c) -0.1 a What is the nearest to 0 in 2/5, 0.3, -11? 0.3 Which is the closest to -3/32? (a) 4 (b) -1 (c) 2/9 c Which is the closest to -0.1? (a) -3 (b) 0.1 (c) 1584 b What is the closest to -33 in 6.8, -0.1, 4? -0.1 Which is the nearest to -2/7? (a) -4 (b) -0.5 (c) 0 (d) -0.4 d Which is the closest to 1? (a) -41 (b) 1/6 (c) 0 b What is the closest to 2/3 in -1/4, -6, -5, -1/3? -1/4 What is the nearest to 2/7 in 2, 3/5, 5, -399? 3/5 Which is the closest to 7? (a) 1/9 (b) -0.1 (c) 0.1 a Which is the nearest to -3/2? (a) 9 (b) 0.3 (c) 3 (d) 2/3 b What is the closest to -2 in -1/7, 2/13, 0, -0.2? -0.2 Which is the closest to 0.2? (a) 0.5 (b) 78 (c) 4 a What is the closest to 0.049 in 5, -0.2, -1, -2? -0.2 Which is the nearest to 0.1? (a) 2/15 (b) 0.14 (c) -5 a What is the nearest to -0.2 in 1/2, 0.62, 1.4? 1/2 Which is the closest to -4? (a) -1 (b) -0.8 (c) 5 a What is the nearest to -15 in -0.4, -4, -0.3? -4 Which is the nearest to 2/3? (a) -0.4 (b) -3 (c) -0.09 (d) 2 c What is the closest to 0.1 in 4, 5, -4/3, 0.5? 0.5 What is the nearest to 3 in -0.9, 1, 2/11, -0.1? 1 What is the closest to 2 in 0.2, -0.41, 4? 0.2 Which is the closest to -0.48? (a) -5 (b) -1 (c) -4 (d) 1 b Which is the nearest to 2/3? (a) 0.2 (b) 0.09 (c) 11 a Which is the closest to 0.1? (a) -3/112 (b) 2 (c) -4/5 a What is the nearest to -1/3 in 10.9, 2, -1? -1 What is the closest to -1 in 0.2, -3/73, -1, 4? -1 What is the closest to -1/4 in 3/2, -5, 4? 3/2 What is the closest to -0.09 in -4/7, 2/3, -0.1? -0.1 What is the nearest to 0.1 in 139, 1, 3/5, -2/7? -2/7 What is the closest to 0.1 in -1/4, -5, 0.06, -6/11? 0.06 What is the closest to 0 in -8, -1, -3/2, 1/12? 1/12 Which is the closest to 2? (a) 0.4 (b) -1/11 (c) 2/21 (d) -0.4 a Which is the closest to -18? (a) -1/4 (b) -0.2 (c) 0.4 a What is the nearest to -2/9 in 2/3, 0.5, -1.4? 0.5 What is the closest to -2/5 in 0.8, 3/7, -23, 0.5? 3/7 Which is the closest to -31? (a) -2/17 (b) -1 (c) -1/2 (d) 5 b What is the nearest to 0 in 5, -3, 1, -0.5? -0.5 Which is the nearest to -2? (a) 1/18 (b) 35/2 (c) -1 c Which is the nearest to -0.05? (a) -3 (b) 7 (c) -3/4 (d) -2 c Which is the nearest to -0.04? (a) -0.5 (b) 5 (c) -2 a Which is the closest to 0.1? (a) -2/11 (b) -6/13 (c) 2 (d) 1/6 d Which is the nearest to 0? (a) 6 (b) -2.1 (c) 4 b What is the nearest to 1 in 0.3, -1, 0, 4/13? 4/13 Which is the closest to 1/4? (a) -49 (b) -2 (c) -11 (d) 0 d What is the closest to 0.4 in 1, 9/4, 3, 0.1? 0.1 What is the nearest to 3.2 in 1/3, 0, 3/5? 3/5 What is the closest to 1/9 in -0.3, 4, 8? -0.3 What is the nearest to -1/19 in 4, -2, 0.2? 0.2 Which is the nearest to 230? (a) -4 (b) 0.5 (c) 2/3 c Which is the nearest to 1/11? (a) -12 (b) 3 (c) 2 c What is the ne
{ "pile_set_name": "DM Mathematics" }
s the remainder when 10993 is divided by 500? 493 What is the remainder when 1438 is divided by 17? 10 What is the remainder when 18380 is divided by 175? 5 Calculate the remainder when 4817 is divided by 112. 1 What is the remainder when 9035 is divided by 151? 126 What is the remainder when 4236 is divided by 280? 36 Calculate the remainder when 30173 is divided by 41. 38 What is the remainder when 41365 is divided by 250? 115 Calculate the remainder when 26881 is divided by 408. 361 What is the remainder when 9871 is divided by 9348? 523 Calculate the remainder when 5005 is divided by 2494. 17 What is the remainder when 7948 is divided by 397? 8 Calculate the remainder when 16871 is divided by 309. 185 Calculate the remainder when 203522 is divided by 120. 2 What is the remainder when 1445118 is divided by 13? 12 Calculate the remainder when 7329 is divided by 563. 10 Calculate the remainder when 45542 is divided by 875. 42 Calculate the remainder when 18328 is divided by 495. 13 What is the remainder when 44615 is divided by 35? 25 Calculate the remainder when 2151 is divided by 104. 71 What is the remainder when 6561 is divided by 298? 5 Calculate the remainder when 756 is divided by 448. 308 What is the remainder when 6793 is divided by 754? 7 Calculate the remainder when 1924 is divided by 828. 268 What is the remainder when 5225 is divided by 1729? 38 What is the remainder when 3660 is divided by 253? 118 Calculate the remainder when 36171 is divided by 4018. 9 Calculate the remainder when 187920 is divided by 26844. 12 What is the remainder when 9114 is divided by 1298? 28 What is the remainder when 5549 is divided by 12? 5 What is the remainder when 37251 is divided by 134? 133 What is the remainder when 424 is divided by 121? 61 What is the remainder when 1551 is divided by 111? 108 What is the remainder when 53254 is divided by 1901? 26 Calculate the remainder when 10489 is divided by 62. 11 Calculate the remainder when 13784 is divided by 3398. 192 What is the remainder when 16834 is divided by 812? 594 Calculate the remainder when 95175 is divided by 4137. 24 What is the remainder when 3136269 is divided by 62? 61 What is the remainder when 9821 is divided by 702? 695 Calculate the remainder when 975 is divided by 206. 151 Calculate the remainder when 866 is divided by 431. 4 Calculate the remainder when 94052 is divided by 242. 156 What is the remainder when 71250 is divided by 35623? 4 Calculate the remainder when 2812 is divided by 354. 334 Calculate the remainder when 8942 is divided by 825. 692 What is the remainder when 9473 is divided by 9118? 355 What is the remainder when 63964 is divided by 467? 452 What is the remainder when 34057 is divided by 183? 19 What is the remainder when 31595 is divided by 1017? 68 Calculate the remainder when 3458159 is divided by 9. 8 What is the remainder when 5087 is divided by 4977? 110 Calculate the remainder when 52863 is divided by 13109. 427 Calculate the remainder when 10423 is divided by 20. 3 What is the remainder when 120872 is divided by 25? 22 What is the remainder when 9628 is divided by 340? 108 What is the remainder when 55660 is divided by 425? 410 What is the remainder when 27806 is divided by 137? 132 Calculate the remainder when 3405 is divided by 77. 17 Calculate the remainder when 87141 is divided by 7255. 81 Calculate the remainder when 333600 is divided by 68. 60 What is the remainder when 7816 is divided by 86? 76 Calculate the remainder when 29168 is divided by 9. 8 Calculate the remainder when 4330 is divided by 255. 250 What is the remainder when 945 is divided by 905? 40 Calculate the remainder when 726 is divided by 107. 84 Calculate the remainder when 66564 is divided by 2560. 4 Calculate the remainder when 7993 is divided by 883. 46 What is the remainder when 3928 is divided by 429? 67 Calculate the remainder when 5529 is divided by 198. 183 What is the remainder when 39869 is divided by 19922? 25 What is the remainder when 1077963 is divided by 15? 3 Calculate the remainder when 2228 is divided by 724. 56 Calculate the remainder when 71575 is divided by 234. 205 What is the remainder when 38136 is divided by 3? 0 Calculate the remainder when 102972 is divided by 429. 12 What is the remainder when 66000 is divided by 18? 12 What is the remainder when 88921 is divided by 293? 142 Calculate the remainder when 56402 is divided by 391. 98 What is the remainder when 601 is divided by 154? 139 What is the remainder when 3004 is divided by 1494? 16 What is the remainder when 4291 is divided by 1519? 1253 Calculate the remainder when 197296 is divided by 291. 289 What is the remainder when 640974 is divided by 97? 95 Calculate the remainder when 2908 is divided by 117. 100 Calculate the remainder when 2485470 is divided by 147. 141 Calculate the remainder when 83176 is divided by 366. 94 What is the remainder when 12833 is divided by 247? 236 Calculate the remainder when 623932 is divided by 155980. 12 Calculate the remainder when 970 is divided by 857. 113 Calculate the remainder when 13660 is divided by 46. 44 Calculate the remainder when 25432 is divided by 8473. 13 Calculate the remainder when 8750 is divided by 406. 224 What is the remainder when 89633 is divided by 490? 453 What is the remainder when 101469 is divided by 373? 13 What is the remainder when 14300 is divided by 246? 32 Calculate the remainder when 138742 is divided by 1508. 6 What is the remainder when 6225 is divided by 35? 30 Calculate the remainder when 724904 is divided by 89. 88 What is the remainder when 1768743 is divided by 161? 158 What is the remainder when 2895 is divided by 207? 204 Calculate the remainder when 7403 is divided by 20. 3 What is the remainder when 21736 is divided by 12? 4 What is the remainder when 3829383 is divided by 161? 159 What is the remainder when 81537 is divided by 516? 9 What is the remainder when 70617 is divided by 1502? 23 Calculate the remainder when 176083 is divided by 65. 63 Calculate the remainder when 120902 is divided by 108. 50 What is the remainder when 106623 is divided by 64? 63 Calculate the remainder when 25558 is divided by 29. 9 Calculate the remainder when 290657 is divided by 48438. 29 What is the remainder when 26902 is divided by 55? 7 Calculate the remainder when 7295 is divided by 911. 7 Calculate the remainder when 208328 is divided by 34721. 2 What is the remainder when 7674 is divided by 697? 7 Calculate the remainder when 171388 is divided by 81. 73 Calculate the remainder when 6245 is divided by 1266. 1181 What is the remainder when 90568 is divided by 301? 268 What is the remainder when 4014 is divided by 562? 80 What is the remainder when 6039 is divided by 140? 19 Calculate the remainder when 19420 is divided by 4855. 0 Calculate the remainder when 12581 is divided by 392. 37 What is the remainder when 2615 is divided by 247? 145 Calculate the remainder when 46784 is divided by 594. 452 What is the remainder when 40539 is divided by 724? 719 What is the remainder when 44017 is divided by 2750? 17 What is the remainder when 6518 is divided by 541? 26 Calculate the remainder when 15303 is divided by 117. 93 Calculate the remainder when 926 is divided by 210. 86 What is the remainder when 405032 is divided by 13501? 2 Calculate the remainder when 88681 is divided by 148. 29 Calculate the remainder when 443731 is divided by 31. 28 What is the remainder when 1273 is divided by 619? 35 What is the remainder when 35249 is divided by 1462? 161 Calculate the remainder when 11645 is divided by 9. 8 Calculate the remainder when 132181 is divided by 41. 38 Calculate the remainder when 5625 is divided by 5624. 1 Calculate the remainder when 356880 is divided by 89214. 24 What is the remainder when 5836 is divided by 224? 12 What is the remainder when 192 is divided by 19? 2 What is the remainder when 189836 is divided by 15? 11 Calculate the remainder when 10719 is divided by 76. 3 Calculate the remainder when 1073212 is divided by 818. 814 Calculate the remainder when 2385 is divided by 2206. 179 Calculate the remainder when 81570 is divided by 22. 16 What is the remainder when 243669 is divided by 413? 412 What is the remainder when 2
{ "pile_set_name": "DM Mathematics" }
nt from hnvbvhhnnbbnbvvbbbv. What is prob of sequence nn? 2/57 What is prob of sequence ft when two letters picked without replacement from ldlfsrrtdddlst? 1/91 What is prob of sequence eea when three letters picked without replacement from aee? 1/3 Calculate prob of sequence ccc when three letters picked without replacement from eyecccc. 4/35 What is prob of sequence jx when two letters picked without replacement from {x: 5, z: 1, h: 3, o: 3, v: 1, j: 1}? 5/182 Three letters picked without replacement from ududddduddudud. Give prob of sequence udu. 15/182 What is prob of sequence nv when two letters picked without replacement from vhnvvvnvvnnvvnnvvv? 11/51 Four letters picked without replacement from ttxttxttxtxxxx. What is prob of sequence xxxx? 5/143 Four letters picked without replacement from nnlnnnlnlnnlllnllln. Give prob of sequence nlnn. 45/646 Four letters picked without replacement from sibiisiisb. What is prob of sequence biii? 1/42 Two letters picked without replacement from {w: 6, x: 1, c: 1, j: 4, y: 3}. What is prob of sequence xw? 1/35 What is prob of sequence iqf when three letters picked without replacement from iffqififfi? 1/36 Three letters picked without replacement from {i: 1, p: 5, j: 2, b: 1, t: 3, y: 1}. Give prob of sequence jpp. 10/429 Calculate prob of sequence vvc when three letters picked without replacement from {c: 3, v: 13}. 39/280 Three letters picked without replacement from quuuuuuuuq. What is prob of sequence uqu? 7/45 Calculate prob of sequence ccjj when four letters picked without replacement from ctcccjjtct. 1/126 Four letters picked without replacement from byblyylyly. What is prob of sequence llbb? 1/420 Two letters picked without replacement from {c: 2, w: 4, d: 6}. What is prob of sequence cc? 1/66 Three letters picked without replacement from lllnnlnyllnnmlyy. What is prob of sequence lnl? 1/16 What is prob of sequence xqk when three letters picked without replacement from {q: 1, p: 1, x: 1, e: 2, k: 1, b: 1}? 1/210 Three letters picked without replacement from {y: 1, n: 1, l: 2, m: 2, d: 1, r: 1}. Give prob of sequence dym. 1/168 What is prob of sequence hyc when three letters picked without replacement from {y: 4, c: 1, i: 1, l: 3, h: 5}? 5/546 Two letters picked without replacement from nnnnnnonnnnnnnnnnnn. What is prob of sequence no? 1/19 Two letters picked without replacement from rff. What is prob of sequence ff? 1/3 Two letters picked without replacement from mqqdqdqmvqmvmvq. Give prob of sequence mv. 2/35 Calculate prob of sequence wi when two letters picked without replacement from {w: 1, i: 2, u: 1, j: 5, r: 3, o: 1}. 1/78 Two letters picked without replacement from duduuuddsluuusuuluud. Give prob of sequence du. 11/76 Three letters picked without replacement from hzhzhhhhhhhyzhy. What is prob of sequence hzy? 2/91 Two letters picked without replacement from xghzgjxc. What is prob of sequence gh? 1/28 What is prob of sequence dkeb when four letters picked without replacement from {z: 1, b: 1, d: 3, e: 1, i: 3, k: 2}? 1/1320 What is prob of sequence ap when two letters picked without replacement from {m: 2, o: 2, a: 2, g: 7, i: 2, p: 1}? 1/120 Two letters picked without replacement from uuuycyuyyyyycuyy. Give prob of sequence cu. 1/24 Two letters picked without replacement from {a: 6, v: 2, b: 3, w: 1, i: 2}. What is prob of sequence bi? 3/91 Three letters picked without replacement from {u: 2, c: 5, y: 3, g: 5, s: 4}. What is prob of sequence ygs? 10/969 Calculate prob of sequence ccrj when four letters picked without replacement from {l: 5, j: 4, c: 4, r: 2}. 4/1365 Three letters picked without replacement from {i: 11, y: 2}. What is prob of sequence iyy? 1/78 Three letters picked without replacement from laaaallalaaaalaa. What is prob of sequence aal? 55/336 Calculate prob of sequence um when two letters picked without replacement from wuzmwwmw. 1/28 What is prob of sequence qxxr when four letters picked without replacement from {q: 2, r: 9, x: 5}? 3/364 What is prob of sequence jyq when three letters picked without replacement from {q: 4, k: 4, y: 1, j: 1}? 1/180 Three letters picked without replacement from oztssdtottttotdos. Give prob of sequence zdt. 7/2040 Two letters picked without replacement from {h: 3, t: 1, q: 3, v: 4, g: 2, y: 4}. What is prob of sequence gv? 1/34 Three letters picked without replacement from ooooqooooqqooooooooo. What is prob of sequence ooq? 34/285 Four letters picked without replacement from {e: 11, n: 5}. What is prob of sequence eenn? 55/1092 Calculate prob of sequence skk when three letters picked without replacement from {k: 2, c: 3, s: 10}. 2/273 Four letters picked without replacement from nnnnnnnnununn. What is prob of sequence nunu? 1/78 Calculate prob of sequence ess when three letters picked without replacement from {s: 4, m: 2, z: 3, t: 9, e: 1}. 2/969 What is prob of sequence lls when three letters picked without replacement from lsllsllsswslllw? 4/39 What is prob of sequence hd when two letters picked without replacement from dhedheoj? 1/14 Two letters picked without replacement from {l: 4, h: 3, j: 1, t: 2, k: 2}. What is prob of sequence lh? 1/11 Four letters picked without replacement from {b: 4, k: 2, c: 2, y: 2}. Give prob of sequence bycy. 1/315 Calculate prob of sequence jj when two letters picked without replacement from {n: 6, w: 1, j: 11}. 55/153 Three letters picked without replacement from ppppppppwpw. What is prob of sequence wpw? 1/55 Three letters picked without replacement from exxeexexeee. What is prob of sequence exx? 14/165 Three letters picked without replacement from kkkkkmkkkm. Give prob of sequence kkk. 7/15 What is prob of sequence russ when four letters picked without replacement from ssxasaassarssxus? 1/780 Two letters picked without replacement from {n: 1, c: 7}. What is prob of sequence cn? 1/8 Four letters picked without replacement from dcqdqodddddcocdd. What is prob of sequence cqcq? 1/3640 Three letters picked without replacement from {e: 6, k: 5, y: 3, j: 3}. Give prob of sequence jyy. 3/680 Four letters picked without replacement from {a: 1, k: 7}. Give prob of sequence kkkk. 1/2 Calculate prob of sequence rbr when three letters picked without replacement from bwrwwbdwrwwwwwwwdw. 1/1224 Calculate prob of sequence scv when three letters picked without replacement from {v: 6, c: 5, i: 4, s: 1, z: 4}. 1/228 Four letters picked without replacement from {c: 14, r: 5}. What is prob of sequence crcc? 455/3876 What is prob of sequence kcp when three letters picked without replacement from {w: 2, p: 8, k: 3, c: 4}? 2/85 Three letters picked without replacement from {v: 2, u: 2, w: 4, z: 1}. What is prob of sequence zuw? 1/63 Calculate prob of sequence ln when two letters picked without replacement from ngdml. 1/20 Two letters picked without replacement from vsosvvfnvvffvvnnfvf. Give prob of sequence ff. 10/171 Two letters picked without replacement from {r: 1, t: 1, g: 1, e: 2}. What is prob of sequence tr? 1/20 Two letters picked without replacement from {s: 4, d: 2, f: 4, t: 1, n: 3}. Give prob of sequence ds. 4/91 Three letters picked without replacement from fyybddybabs. Give prob of sequence yba. 1/110 Four letters picked without replacement from {q: 1, c: 6, x: 3, i: 4, k: 1, n: 5}. What is prob of sequence nikq? 1/5814 Two letters picked without replacement from {z: 4, j: 1, l: 5}. What is prob of sequence zl? 2/9 Four letters picked without replacement from fffhhhh. What is prob of sequence ffhh? 3/35 Calculate prob of sequence vjrr when four letters picked without replacement from {v: 7, m: 2, r: 3, j: 3}. 1/260 Three letters picked without replacement from {z: 2, g: 4, o: 1}. What is prob of sequence ogg? 2/35 Calculate prob of sequence ee when two letters picked without replacement from {x: 1, g: 4, e: 6, n: 5}. 1/8 Three letters picked without replacement from {j: 5, x: 3, o: 5}. Give prob of sequence xxx. 1/286 What is prob of sequence ommo when four letters picked without replacement from ooomooooooooooooomo? 1/171 Calculate prob of sequence qu when two letters picked without replacement from {q: 7, r: 1, e: 2, u: 1, d: 2, v: 2}. 1/30 Calculate prob of sequence zz when two letters picked without repl
{ "pile_set_name": "DM Mathematics" }
he nearest 100000. 0 Suppose 0 = 3*d + 4*l + 10549, -2*l + 13 = 3. Let n(o) = 416*o - 7. Let v be n(5). Let z = d + v. What is z rounded to the nearest 100? -1500 Let o = 5416 + -5421.646. Let b = -0.054 + o. What is b rounded to the nearest integer? -6 Let g = -542.55 - -893.9. Let h = -362 + g. Round h to zero dps. -11 Suppose 22*t = 15*t + 133. Suppose t*s = 968253102 - 265253102. What is s rounded to the nearest one million? 37000000 Let b = -0.9401 - -53.1401. What is b rounded to the nearest 100? 100 Let y = -54989 + -133811. What is y rounded to the nearest 10000? -190000 Let p = -56 + 62. Let r = p + 21. Let q = 27.0000072 - r. Round q to six dps. 0.000007 Let y = 61 + 31. Let t = y - 91.999636. What is t rounded to five dps? 0.00036 Let g = -297.10977 - -306.37. Let v = g - 9.29. Let p = 0.028 + v. Round p to four dps. -0.0018 Let w = 3193 - 3189.9147. Round w to 1 dp. 3.1 Let f = 40.025 + -40. Let i = f - -28.975. Let y = i + -28.9999989. Round y to 6 decimal places. 0.000001 Let o = -226658012 + 226658116.520831. Let f = 97.42082956 - o. Let b = f + 7.1. Round b to 7 decimal places. -0.0000014 Suppose -4*b + j + 868 = 0, 2*b + 4*j - 848 = -2*b. Let t(a) = -b*a + 5 - 82*a + 97*a. Let u be t(5). What is u rounded to the nearest one hundred? -1000 Let k be (-44)/(-6)*(46323/18 + 2). Round k to the nearest one thousand. 19000 Let j = 3242.52 + -3188. Let a = j + -57. What is a rounded to zero dps? -2 Let d = -6334 + 6333.99996865. What is d rounded to 7 decimal places? -0.0000314 Let p = 9307.999989094 + -9308. What is p rounded to seven decimal places? -0.0000109 Let r(h) = -8*h + 36. Let k be r(4). Suppose -3*g + 283 = -5*o, -g + 57 = 3*o - k*o. What is o rounded to the nearest ten? -60 Let i = 4303.37 + -4283. What is i rounded to the nearest 10? 20 Let n = 41 + -36. Suppose -15 = -4*p + n. Suppose 0 = -p*h + 25, 3*h - 19743511 = 2*g - 58143496. What is g rounded to the nearest one million? 19000000 Let v = -47570857.7389 - -48323357.74. Let k = v + -752450. Let t = -50 + k. What is t rounded to four decimal places? 0.0011 Let l(v) = v**2 - 18*v + 20. Let j be l(18). Suppose -6*y + 50 = j. Suppose -5*i + 2*k - 6*k = 114996, -y*k + 5 = 0. What is i rounded to the nearest 10000? -20000 Let y = 61 - 61.03. Let x = -156.03 - y. Let w = x + 155.849. What is w rounded to 2 dps? -0.15 Let r(c) = 4*c + 48. Let t be r(-11). Let f(l) = 440*l**2 - 10*l + 30. Let w be f(t). What is w rounded to the nearest 100? 7000 Let l = -0.0201049746 + -19.9799447254. Let g = -21 + 41. Let p = g + l. What is p rounded to 6 dps? -0.00005 Let m = 779.4487 + -779.9. What is m rounded to 1 dp? -0.5 Let s = 17.77 + 0.03. Let u = s + -17.79999584. What is u rounded to six decimal places? 0.000004 Let c = -5.324 - -5.3239981064. Round c to six decimal places. -0.000002 Let b = 3580219 - 3580219.09499956. Let n = 8033.095 - 8033. Let z = b + n. What is z rounded to seven decimal places? 0.0000004 Let c = -65615 + -14433. What is c rounded to the nearest ten thousand? -80000 Let q = -559 - -319. Let w = -234.33 - q. Let k = 5.6381 - w. Round k to two dps. -0.03 Let k = -0.0874529 + 0.08835. What is k rounded to four decimal places? 0.0009 Let n = -5836.29 + 5827. What is n rounded to the nearest integer? -9 Suppose -5*f = -4*k + 268283, f + 228182 + 40105 = 4*k. Let d = k - 45872. What is d rounded to the nearest 10000? 20000 Let u(t) = -1681404*t**2 + 372*t + 3976. Let r be u(-11). Round r to the nearest 1000000. -203000000 Let b = 79 - -8. Let c = b - 87.072. What is c rounded to three decimal places? -0.072 Let r = 63.45 - 63.44990726. Round r to five decimal places. 0.00009 Let b = 0.4314 + -0.431456555. What is b rounded to 5 decimal places? -0.00006 Let o = -7731 + 7727.232. Round o to 2 dps. -3.77 Suppose -44*f = -51*f - 403218 + 111346. What is f rounded to the nearest ten thousand? -40000 Let p(r) = 259*r**3 + 17*r**2 + 20. Let q be p(-8). Let y be (-180)/((4/(-8))/(q/6)). Round y to the nearest 1000000. -8000000 Let k = -144 - 138. Let g = 182 + k. Let w = g - -99.9999796. Round w to 6 decimal places. -0.00002 Let n(u) = 98184*u + 524. Let o be n(14). Round o to the nearest ten thousand. 1380000 Suppose -3*u = -18*b + 21*b - 1404234, 5*u = 2*b + 2340390. Let o = u - -448922. What is o rounded to the nearest one hundred thousand? 900000 Let f = -108393 + 108392.99942463. What is f rounded to five decimal places? -0.00058 Suppose 3*j + 116314163 + 386065837 = 2*c, 0 = 4*j - 5*c + 669840000. What is j rounded to the nearest one million? -167000000 Let r = 9007.48632 + -9029. Let k = 0.02332 - r. Let q = k + -0.237. Round q to the nearest integer. 21 Let y = 247723 + -157626. Let w = y + -126597. What is w rounded to the nearest one thousand? -37000 Let l(s) = -37 + 8207*s - 1124*s + 820*s. Suppose 0 = 4*n + g + 81, -3*g + 11 = -4*n - 82. Let u be l(n). Round u to the nearest ten thousand. -170000 Let m = -4.25 - -6.1. Let d = 0.08 - m. Let o = d + 1.7793. Round o to three dps. 0.009 Suppose -3*r = 4*y + 8452884, 0 = -2439*r + 2444*r - 4*y + 14088076. What is r rounded to the nearest ten thousand? -2820000 Let x be ((-8)/8*-5 - 9) + 85474. What is x rounded to the nearest ten thousand? 90000 Suppose -927 = -y + 2*y. Let a = y - 3003. What is a rounded to the nearest one hundred? -3900 Let l(s) = 355*s**3 - 16*s**2 + s + 2. Let q be l(-12). Let n = 414436 + q. Let a = n - -105318. What is a rounded to the nearest ten thousand? -100000 Let l = 74.9 - 75.0288. What is l rounded to two dps? -0.13 Let x(i) = 2*i**2 - i - 2. Let h be x(0). Let j be h/9 + (-54855100)/(-450). Round j to the nearest 1000. 122000 Suppose 64*t + 63*t + 700586500 = 26*t. What is t rounded to the nearest 1000000? -7000000 Let d = -0.114 - 37.886. Let j = 37.99999336 + d. What is j rounded to 7 dps? -0.0000066 Suppose 3*h - 4*x - 4906234 = 0, -7*h = -4*h - 2*x - 4906238. Suppose -4*z = 2*u - 487410 + h, z + 287002 = -u. What is z rounded to the nearest 100000? -300000 Let o = -120502 + 120500.97658. Round o to one decimal place. -1 Suppose -17*t = -9*t - 88. Let n be (14 - (t - -2))/(2/2566). What is n rounded to the nearest 10? 1280 Let b be 1 - 1 - (-3 - -2941). Suppose 23*p = 67*p + 20152. Let o = b - p. What is o rounded to the nearest one hundred? -2500 Let m = -220 + 220.32. Let a = 4.4 + -2.4. Let w = m + a. Round w to the nearest integer. 2 Let i = -173501168.23500854010476266 + -0.49499097589523734. Let m = -173501168 - i. Let s = -0.73 + m. What is s rounded to 7 decimal places? -0.0000005 Let l = 4163 - 4142.895. Round l to 1 decimal place. 20.1 Let n = 14.9507 + -667.0807. Round n to the nearest 10. -650 Let k = 4153 + -2568. Let r = k + -1584.9357. What is r rounded to 3 decimal places? 0.064 Let w = 52 + -90.1. Let r = 38.0998712 + w. What is r rounded to five dps? -0.00013 Let c = 1245 + -1245.0008588. Round c to 5 decimal places. -0.00086 Suppose 5 - 18 = 5*c - 2*q, -5*c - 21 = -4*q. Let x be (c/2*10)/((-1)/5). Suppose 24*a - 5900 = x*a. Round a to the nearest 1000. -6000 Let d = -8285 + 4275. Round d to the nearest 1000. -4000 Let n = 4473 + -4429.34. Let a = n + 0.34. Let k = -44.0000296 + a. What is k rounded to five dps? -0.00003 Let p = 3850 - 3850.00005115. Round p to five dps. -0.00005 Let k = -5296662 - -9331281. Let v = -7314407 + k. Let h = v + 8379788. What is h rounded to the nearest one million? 5000000 Let s = -0.1367024 - -55.1940024. Let j = 55 - s. Round j to 2 decimal places. -0.06 Let p = -9124173.199532 + 9124940.2. Let a = p - 767. What is a rounded to 5 decimal places? 0.00047 Suppose 314*y - 309*y = 40710. Let m = 15782 - y. Round m to the nearest one hundred. 7600 Let q = -166713.839 - -166540. Let v = -174 - q. Let i = v - -0.1859. What is i rounded to 3 decimal places? 0.025 Let d be 58/12 + (-5)/(-30). Suppose 3*v + 3*g = 1353, 3*v - 851 = d*g + 510. Round v to the nearest ten. 450 Let w = -170229.87 - -1969.87. Let j = w - -168260.409995. Let s = j + -0.41. Round s to 5 decimal places. -0.00001 Let z = 23629 + -23628.999971702. What is z rounded to five decimal places? 0.00003 Let d = 0.0485 + 0.424. Let i = d + -0.421. Round i to 2 dps. 0.05 Let f = -151.225 - -147.3. Round f to the nearest integer. -4 Let n = -220.386 + 220. Let a = n - -160
{ "pile_set_name": "DM Mathematics" }
are the prime factors of -24*-2*(-25)/u? 2, 5 Let b(a) = -7 + 10*a + 21 + 3 - 13 - 11. Suppose 0 = 2*p - 5*p + 27. What are the prime factors of b(p)? 83 Let j(u) = -950*u + 3379. What are the prime factors of j(-4)? 3, 2393 Let f be (-1)/(-2) + 2/(-8)*2. Suppose f = 5*z - 4*h - 1590, -2*z + 89 + 547 = 5*h. Let i = z + -217. List the prime factors of i. 101 Let v be (-1 + -5)*(-11254)/102. Let u = v + -76. List the prime factors of u. 2, 293 Let w(s) = 26*s**2 + 11 + 70*s + 8*s**2 - 74*s + 4*s**2. List the prime factors of w(3). 11, 31 What are the prime factors of (14/4)/((98/490)/(1018/5))? 7, 509 Suppose 9*j = 24*j - 77445. List the prime factors of j. 3, 1721 Let w(s) = 3*s**2 - 71*s + 22. Let i be w(15). Let h = 50 - i. What are the prime factors of h? 2, 11, 19 Let y = 98919 + -68279. List the prime factors of y. 2, 5, 383 Let z = -556 + 4715. Suppose z = 4*f - 5*a, -4*f - 4164 = -8*f + 4*a. List the prime factors of f. 2, 523 Suppose 0*q - w - 312 = -2*q, 4*w + 324 = 2*q. Suppose -q = -3*m - 49. Suppose l + 6*g - 2*g = m, 5*l - 271 = 4*g. List the prime factors of l. 3, 17 Let u be (4/(-12))/((-2)/(-114)). Suppose z + 3*t - 137 = 0, -z + 5*t = 4*z - 685. Let l = z + u. What are the prime factors of l? 2, 59 Suppose 2*s = -3*y + 6438, -5*s - 4966 = -2*y - 693. What are the prime factors of y? 2, 67 Let u(w) = -4*w**3 + 13*w - 8. Let s(j) = j**3 - j**2 - j + 1. Let d be (-162)/(-30) - 6/15. Let t(g) = d*s(g) + u(g). What are the prime factors of t(4)? 13 Let t be (-1)/(36/8) + 6/27. Suppose t*f = -c + 4*f + 27, 3*c - 2*f = 31. Suppose -251 = c*y - 8*y. List the prime factors of y. 251 Let u(l) = -59*l - 2. Let m(p) = -58*p - 3. Let i(d) = 4*m(d) - 3*u(d). Let x be (-42)/28*8*(-3)/(-18). List the prime factors of i(x). 2, 13 Let f(i) = 2*i**2 + 11*i - 20. Let a(r) = r**2 + 5*r - 10. Let z(t) = 5*a(t) - 2*f(t). Let h be z(-7). Suppose j - h = 6. List the prime factors of j. 2, 3 Let i be (-8)/(-20) + 0 - 16/(-10). List the prime factors of (-3 + -750)/(-3) - i. 3, 83 Let j = 10191 + 9726. List the prime factors of j. 3, 2213 Suppose 3*k - 40279 = -4*z, 3*k - 5*z = 44063 - 3793. What are the prime factors of k? 3, 5, 179 Let c = 418 + -413. Suppose 13*k - 8*k + 3*n = 7480, -7480 = -c*k - 4*n. List the prime factors of k. 2, 11, 17 Let r(i) = -10*i**3 - 13*i**2 + 50*i - 2. What are the prime factors of r(-10)? 2, 4099 Let n(z) = -z**2 - 11*z - 11. Let a be n(-9). Let i(w) = w**3 + w + 108 + 6*w**2 - 132 - a*w**2. List the prime factors of i(6). 2, 3 Let q = 57584 - 32551. List the prime factors of q. 25033 Let d = 233 + 10. Suppose 0 = j + d - 639. What are the prime factors of j? 2, 3, 11 Suppose k + 9633 = 4*k. Let w = -2081 + k. List the prime factors of w. 2, 5, 113 Suppose 0 = 2*o + 5*a - 9033 - 7955, 0 = 5*o + 5*a - 42515. List the prime factors of o. 67, 127 Suppose 381785 = 138*v - 289171. List the prime factors of v. 2, 11, 13, 17 Let o be (33/(-44))/(3/(-8)). Suppose -184 = o*v - v. List the prime factors of (v/20)/2*-5. 23 Suppose 0 = -19*h + 25*h - 30. Suppose 4501 = h*w + 2*t, 0*w = 3*w - 5*t - 2682. List the prime factors of w. 29, 31 Let i(o) = -3*o - 4. Let q be i(-1). List the prime factors of ((-303)/q)/(14 + -11). 101 Let v = 90 - 88. Suppose 0 = g + 4*g + v*l - 10, -2*g - 12 = 4*l. Suppose -g*o + 151 = -69. List the prime factors of o. 5, 11 Let u(z) = -11 + 0*z + 81 + 16*z + 34 + 6*z**2. List the prime factors of u(-9). 2, 223 What are the prime factors of (-41)/(-123) + (-1)/30 + (-1288374)/(-20)? 3, 109, 197 List the prime factors of (7 + 749776/(-32))*-2. 79, 593 List the prime factors of (1028/(-3))/((-54)/324). 2, 257 Let z(d) = -12*d + 10. Let s be z(5). List the prime factors of (-1626)/(-10) - s/125. 163 Suppose 0 = -5*g + 14*g + 81. Let b be (g/3 - (1 + 8))*-9. Suppose 0 = -3*m - m - 2*c + b, -5*c = -5*m + 135. What are the prime factors of m? 3 Suppose -2*i = 5*u - 1042 + 219, u - i - 159 = 0. Let k = 531 - u. List the prime factors of k. 2, 23 Let k(x) = -7*x**3 - 2*x**2 - 4*x - 5. Suppose -26 = 5*l - 4*y, -y = -l + y - 10. Let f be k(l). Let i = 140 - f. What are the prime factors of i? 89 Let d(p) = -9*p + 81. Let x(y) = y**3 + 7*y**2 + 5*y + 3. Let z be x(-6). Let r be d(z). List the prime factors of (r + -1)*1*2 + 91. 89 Let p(u) = 601*u**2 - 6*u + 5. List the prime factors of p(3). 2, 19, 71 Let i(p) = p**3 - 16*p**2 + p - 1. Let m be i(16). Let c(l) = -l**3 + 16*l**2 + 25*l - 21. What are the prime factors of c(m)? 3, 193 Let d = -74634 + 118011. List the prime factors of d. 3, 19, 761 Let b(v) be the second derivative of 7*v**4/12 + v**3/3 - v**2 - 14*v. Let p be (-228)/84 - (-2)/(-7). What are the prime factors of b(p)? 5, 11 Let f be (34/85)/((-1)/(-2))*60. What are the prime factors of -6*(-8)/f*658? 2, 7, 47 Let n(d) = d**3 + 33*d**2 - 8*d - 35. Suppose 74*y - 71*y = -99. What are the prime factors of n(y)? 229 Suppose 14*s + 7425 + 5231 = 0. Let i = -604 - s. List the prime factors of i. 2, 3, 5 Let r(b) = -20464*b - 355. What are the prime factors of r(-2)? 13, 3121 What are the prime factors of 155 - 161 - 3*(-1 + (-6800)/3)? 7, 971 List the prime factors of -5*(66/(-30) + 2) - 32148/(-3). 7, 1531 Let y be 88/(-6) + (-2)/(-3). Suppose -f + 15 = -2*z, 0 = 4*f - 3*z - 11 - 74. Let v = f + y. What are the prime factors of v? 11 Let u(g) = 483 + 497 - 937 - 73*g. What are the prime factors of u(-19)? 2, 5, 11, 13 Suppose 168 = 15*x - x. Suppose 1244 = x*n - 2260. Let t = n - 8. What are the prime factors of t? 2, 71 Let p(a) = 11*a**3 + 5*a**2 - 2*a - 2. Let r be p(5). Let u = 2747 - r. List the prime factors of u. 1259 Let d(v) = -7*v - 19. Let b be d(-3). Suppose 0 = -2*y - 0 - b. What are the prime factors of -6*(2/4 + y) + 89? 2, 23 Suppose -a = 37*a + 38. Let b(i) = 2*i**2 + 4*i - 63*i**3 - 14*i**3 + 2 + i**2. What are the prime factors of b(a)? 2, 3, 13 Let p = -1941 - -14641. What are the prime factors of p? 2, 5, 127 Let x(i) = -2*i - 9. Let y be x(-6). Suppose 0 = -20*t + 5*t - t. Suppose y*h = -p + 179, 4*p - 167 = -t*h - 3*h. List the prime factors of h. 61 Let i be 2/6 + (-4)/36*-33. Suppose -i*f - 3324 = -4*g, 2*g + 2*f - 1659 = f. Suppose 0 = 2*z + z - 6, 5*z + g = 3*w. List the prime factors of w. 2, 5, 7 Let i(s) = -14558*s - 145. What are the prime factors of i(-2)? 3, 29, 37 Suppose 7*y + 96 = 10*y. Suppose -3*q = q - y. What are the prime factors of q? 2 Suppose -11*n + 6*n + d - 22 = 0, d - 14 = 3*n. Let u(x) = 8*x**2 + 4*x + 3. What are the prime factors of u(n)? 5, 23 Let n(m) = -m**3 + 13*m**2 - 23*m + 16. Let q be n(11). What are the prime factors of (q + 43/2)*8? 2, 53 Suppose 4*d - 5*d + 4 = 0. Suppose -c - 7*c = -d*c. Suppose -3*w + 5*u + 29 = c, 0*w - u = -3*w + 13. List the prime factors of w. 3 Suppose q = -3*f + 151, -5*f - 2*q - 3*q + 235 = 0. Let r = f - 35. List the prime factors of r. 17 Let i(j) = 11317*j**3 + 3*j**2 - 14*j + 13. List the prime factors of i(1). 3, 7, 11 Suppose 0 = -3*u + y + 5, -2*u - 4*y - 10 = -8*y. Suppose -u*i = -578 - 646. What are the prime factors of i? 2, 3, 17 Let c(s) = -3*s**2 + 3*s + 12 + 4*s**2 - 4*s - s**3 - 2*s. Let u be c(0). Suppose 16*h = u*h + 20. List the prime factors of h. 5 Let t = 77 + -39. Suppose -59 = -5*b + g, 0 = 3*b - 0*b + 2*g - t. What are the prime factors of 364/6 + (-8)/b? 2, 3, 5 What are the prime factors of (6/(-4) - (-221)/34) + 11249? 2, 17, 331 Let v(l) = -2*l**2 + 5 - 10*l + 0 + 2 + 5*l**2. Let m = -8 - -14. What are the prime factors of v(m)? 5, 11 Let a be 5*(-1)/(10/12608)*2. Let x be ((-4)/(-9))/2 - a/288. Suppose 45*u - x*u = 185. What are the prime factors of u? 5, 37 Suppose 2*n - 755 = -5*c, 27*n - 25*n - 720 = 2*c. Let q = 135 + n. What are the prime factors of q? 2, 5 Let f(z) = -z**3 - 2*z**2 + z + 2. Let v be f(-1). Suppose -325 = 4*k - 5*k - 3*r, -3*k - r + 1015 = v. What are the prime factors of k? 2, 5, 17 List the prime factors of 133724/6 + 444/(-36) + 14. 31, 719 Let f = 120 + 284. Suppose 0 = -3*u - u - f. Let w = -53 - u. List the prime factors of w. 2, 3 Let m be (7/14)/((-1)/(-10)). Suppose -1423 = 7*s - 1437. Suppose 0 = 2*v + s, -k + 2*k - m*v - 201 = 0. What are the prime factors of k? 2, 7 Let g(o) = 2*o - 89. Let x be g(34). What are the prime factors of (4/x*-7)/((-4)/(-354
{ "pile_set_name": "DM Mathematics" }
at is w(t)? 7 Let k(j) = j**2 + j. Let z = 5 - -1. Let a(l) = 4*l**2 + 7*l - 1. Let o(d) = z*k(d) - a(d). Suppose 0 = -g + x + 2, -g + 0*x + 5 = -4*x. What is o(g)? 2 Suppose -8*y - 439 = 633. Let o = -131 - y. Let t(s) = 3*s + 1. Let l(a) = 10*a + 2. Let v(r) = -2*l(r) + 7*t(r). Calculate v(o). 6 Let n(k) = -3*k - 17. Let q be n(-8). Let p(v) = -15 + q + 2*v**2 + 7*v - v**2 + 18. Determine p(-7). 10 Let s(a) = -381 - 20*a - 19*a**2 + 0*a**3 - a**3 + 349. Give s(-18). 4 Let u be ((-252)/(-35))/9 + (-28)/10. Let y(o) = 18*o + 1. What is y(u)? -35 Let f(v) = -2*v**3 - 2*v + 1. Let x(k) = 3*k**2 + 2*k**3 + 2*k - k**2 - 1 - 2*k**2 - k**2. Let u = -26 + 28. Let c(d) = u*f(d) + 3*x(d). Determine c(2). 7 Let z(n) = n - 3. Let j = 1 - -3. Let s(f) = -2*f + 6. Let v(u) = j*s(u) + 9*z(u). Let w = 145 + -138. Calculate v(w). 4 Let j be 18/27*132/8. Let y(n) = 18*n + 0 - 1 - 3*n - j*n + n**2. Give y(-3). -4 Let l = -42 - -36. Let z(n) = -5*n - 2. Let q be z(-4). Let j be l + 1 - q/(-9). Let a(o) = -2*o**2 - 5*o - 2. Give a(j). -5 Let u(n) = 2. Let q(z) = 3*z - 15. Let b(c) = 3*q(c) + 21*u(c). Calculate b(1). 6 Let v(g) be the first derivative of 4*g**2 + 2*g - 1. Let i be (11 + -8 - (-10)/(-6))*(-3)/(-2). Calculate v(i). 18 Let p(z) = -2*z. Let j(f) = -f - 13. Let d be j(-18). Let a(b) = 3*b. Let h(t) = d*a(t) + 6*p(t). Give h(2). 6 Let z(j) = -2*j**3 - j**2 - 2*j - 1. Let o(w) = w**3 + 17*w**2 + 17*w + 21. Let u be o(-16). Suppose d - 4 = 4*c - 2, 4*d + 13 = -u*c. What is z(c)? 2 Let h be 0 - -6 - 1 - (28 - 30). Suppose -6 = -j - h. Let s(x) = x + 1. Calculate s(j). 0 Let s(b) = -b**3 + 4*b**2 - 3*b + 1. Let z be s(3). Let q(t) = 3 + 2 - z - 3*t + 2*t**2 + 0 + t**3. Calculate q(-3). 4 Suppose 0 = h - 9 + 7. Let t(q) = 7 - 18 - 5*q**h - q**3 + 8 - 4*q. Suppose 4*c - 8 = 6*c. Calculate t(c). -3 Let c(z) be the first derivative of -1 + z**2 - 2*z - 1/4*z**4 - z**3. Let j(r) = r**3 + 8*r**2 + 6*r - 11. Let y be j(-7). Calculate c(y). 6 Suppose 5*s = -0 + 25, -4*t + 63 = 3*s. Suppose -t*x - 16 = 8. Let a(w) = 3*w**3 + 4*w**2 + 3*w + 2. Give a(x). -12 Let h(t) = 6*t - 8. Let u(j) = -7*j + 9. Let l = 15 + -20. Let w(s) = l*u(s) - 6*h(s). What is w(6)? -3 Let t(s) = s**2 + 8*s + 4. Let j(w) = -3*w - 14. Let i be j(-3). What is t(i)? -11 Suppose 2 = 4*u - 3*u. Let v(b) = -10*b - 1. Let w be v(-1). Let o(y) = -22 + 11 + w + y. Calculate o(u). 0 Let j(h) = h**3 - 5 - h**2 + 2*h + 2 + 7*h**2. Suppose 60 = -7*q + 18. Determine j(q). -15 Let c(y) = 5*y + 4. Let o(f) = -4*f - 22. Let x be o(-5). Let s(g) = -11*g - 8. Let k(u) = x*s(u) - 5*c(u). Calculate k(-4). 8 Let x(m) = m**2 + m - 10. Let b(d) = 4*d**2 - 41*d + 4. Let v be b(10). Calculate x(v). 20 Let u = -5 + 4. Let k(l) be the first derivative of -28*l**3/3 + 145. Give k(u). -28 Let o = 69 - 66. Let a(y) = 3*y + y**2 - 3*y - 6*y - y**o + 2 - 8*y**2. Calculate a(-6). 2 Let g(n) = -109 + 64 + 48 - 3*n. What is g(4)? -9 Let h(l) = 5*l + 2. Let c(f) = 34*f - 200. Let i be c(6). What is h(i)? 22 Let m(g) = -g**3 - 8*g**2 + g + 10. Suppose 7*b - 2*b + 25 = 0, -5*i - 3*b - 30 = 0. Let u be (i/(-2))/((-3)/16). Calculate m(u). 2 Let q(o) = -o**3 + 4*o**2 - 2*o + 3. Let k(w) = -17*w**3 + w**2 + 2*w + 1. Let z be k(-1). Let h be (-4*(-15)/(-42))/((-1)/14). Let y = h - z. Determine q(y). 6 Let x(u) = -2*u + 1208 + 1209 - 2417. Let f be (1 - 1)/1 + -1. Give x(f). 2 Let g = -2 - 4. Let a(r) = -r**2 + 0*r**2 - 7*r + 4 - 3. Calculate a(g). 7 Let z(f) = 12*f**2 - 29*f - 9. Let o(w) = -5*w**2 + 12*w + 4. Let k(c) = -5*o(c) - 2*z(c). What is k(-2)? 6 Let m(t) = 2*t + 17. Let x be (-69)/9 + -3 + (-8)/(-3). Calculate m(x). 1 Let k(o) = o**2 + 10*o - 2. Let c be k(-10). Let u(w) = 1 - w**3 - 2*w**2 - 4*w + 3*w - w**2. Give u(c). -1 Let s(p) be the first derivative of p**2/2 + 6*p + 7. What is s(-7)? -1 Let z be 11/7 - (-6)/14. Let l(t) = -6*t**2 + t - 5*t**z + 10*t**2. Determine l(4). -12 Suppose -40 = -13*g + 3*g. Let v(i) = -3 + 6 - 12*i - g. Give v(-1). 11 Let c be (0 - 3)/(6/(-4)). Let n(g) = 2*g**3 - 3*g**3 - 8*g**2 - 5 - 2 + c*g**2. Suppose 0 = -y + 3*y - 4*h + 20, 20 = -4*y - 2*h. What is n(y)? -7 Let c(h) = h**2 - 6*h + 2. Let p be (4 - 6)*(-3 - 0). Let s(d) = -7*d + 6*d**2 + 2 + 3*d - 5*d**2 - 2*d. Let w(b) = p*c(b) - 5*s(b). What is w(6)? 2 Suppose -5*k - 5*t - 55 = -0*t, 9 = k - 4*t. Let b(z) = 2*z**3 - 9*z**2 + 5*z - 7. Let p(w) = -w**3 + w**2 - 1. Let u(d) = -b(d) - 3*p(d). Give u(k). -4 Let q(a) = -2*a + 2. Suppose -2*r + 39 = 7*o - 10*o, 3*o - 33 = -4*r. Calculate q(r). -22 Let k(q) = 1 + 4 - 1 + 18 - q. Let j be k(17). Suppose 0*w - 2*a = w + 9, 5*w - j*a = 30. Let s(o) = 5*o**2 + 2*o - 1. What is s(w)? 6 Suppose -26*i = -11*i + 120. Let n(u) = -11 - 8*u + 2*u**2 - 3*u**2 + 0*u**2. Calculate n(i). -11 Let d(s) = -s**3 - 5*s**2 - 5*s + 1. Let r(p) = p**3 - 6*p**2 + 5*p + 4. Let v be r(5). Suppose 5*l + 8 = -3*c, -v*c + 9 + 11 = -l. Calculate d(l). 5 Let c = 22 - 16. Let y(v) = v + 1 + 1 + c. Suppose 5*a - 9 = -4*m, 6 + 0 = 3*m + 4*a. Determine y(m). 14 Let d be (58 - 55)/((-6)/(-20)). Let u(m) = -2*m + 24. Give u(d). 4 Let p = 12 - 10. Suppose -15 = -f - 7. Let d(i) = f*i + 2*i**2 - 3*i**p - 7 + 0*i**2. Give d(7). 0 Suppose -39 = -4*q - 3*y, 3*y + 1 + 2 = 3*q. Suppose -8 + 38 = q*g. Let j(z) = z. Give j(g). 5 Let h(v) = 1723*v - 8 + 0*v**2 - 857*v - 867*v + v**2. What is h(-5)? 22 Let g(a) = 5*a**3 - 11*a**2 + 3*a - 6. Let p(c) = 9*c**3 - 21*c**2 + 7*c - 12. Let b(z) = -7*g(z) + 4*p(z). Give b(7). 43 Let c(h) be the first derivative of -h**6/120 - h**5/20 - h**4/12 - h**3/6 + 5*h**2/2 - 20. Let p(u) be the second derivative of c(u). What is p(-2)? -1 Let w(t) = t**2 - 2*t + 3. Let n be (4/(-3) + 1)*-45. Suppose m - 13 = 5*x + n, 0 = -x - 5. Calculate w(m). 6 Let a(j) be the second derivative of j**4/12 + j**3/3 - j**2 + j + 24. What is a(-5)? 13 Let q(n) be the third derivative of n**5/60 + n**4/2 - 4*n**3/3 + n**2. Let m = 11551 - 11564. Give q(m). 5 Let w(q) = -4*q**2 + 16*q + 3. Let c(b) = -3*b**2 + 12*b + 4. Let z(m) = 5*c(m) - 4*w(m). What is z(3)? 5 Suppose 4*t + 12 = -c, -4*t - 4 = -c + 8. Let i(u) = u + 1. Let b(y) = y + 2. Let n(w) = t*i(w) + 4*b(w). Calculate n(6). 11 Let f(m) = 1 + 1711*m + 1713*m - 3419*m. Suppose -5*l - x + 9 = -0*x, 2*l = 5*x - 18. Give f(l). 6 Let v(z) be the second derivative of -z**4/12 + z**3/2 + 7*z**2/2 - 25*z + 1. Give v(7). -21 Let u = -1 + 2. Let w be (-3)/((-1)/u - 0). Let m(z) be the second derivative of z**4/12 - z**2 + 32*z. What is m(w)? 7 Let v(w) be the second derivative of -w**4/12 + 3*w**3/2 + w**2/2 - 5*w. Let p be v(10). Let z be p/6*(-14)/(-3). Let f(r) = -2*r - 5. Calculate f(z). 9 Let q be 7 - (4 + -2*3). Let i be 9/q - 1*-3. Let l(d) = d**2 - 3*d - 3. Calculate l(i). 1 Let h(d) be the third derivative of d**9/60480 + 11*d**6/720 - d**5/5 - 9*d**2. Let v(x) be the third derivative of h(x). Determine v(0). 11 Let b(w) = -w**2 + w + 2. Let u(z) = -2*z + 5. Let m(h) = b(h) + u(h). Determine m(0). 7 Suppose 4*h + 3*y - 7 = -39, -25 = 3*h + 2*y. Let x(d) = d - 3. Determine x(h). -14 Let x(y) = -9*y**2 + 2*y - 7. Let w(s) = 3*s**2 - s + 2. Let p(g) = -7*w(g) - 2*x(g). Suppose -5*n + 5*t = -15, 0 = -5*n + 2*t - 3*t + 9. Calculate p(n). -6 Let y(k) = -6*k**2 - 6*k - 6. Let j(x) = x**2. Let b(l) = -4*j(l) - y(l). Give b(-2). 2 Let o(m) = m**2 - 9*m + 4. Let a be o(9). Suppose -a*g - 40 = g. Let l(r) = -r - 2. What is l(g)? 6 Suppose -464*d - 6 = -470*d. Let t(j) = -2*j**3 - 2*j**2 + 7*j - 6. Let y(c) = -c**3 + c - 1. Let l(b) = -t(b) + 6*y(b). What is l(d)? -3 Let d(u) = -u**3 - 5*u**2 + u - 7. Let x(g) = -4*g**2 - 61*g - 20. Let f be x(-15). What is d(f)? -12 Let p(c) = c - 4. Let s(i) = -5*i + 17. Let q be 3/(-4 + 1)*-2. Let d(y) = q*s(y) + 9*p(y). Determine d(5). -7 Let r(s) = -2*s**2 + 3*s - 1. Suppose -2*c = -o - 3, -2*o + 1 - 3 = 0. Suppose -c = 2*j - j - k, -3*j = -2*k. What is r(j)? -3 Let y(n) = -8 - n**3 - n**2 + 5*n - 7 + 18. Let i(p) = p + 39. Let x be i(-42). Determine y(x). 6 Let c(f) = 7. Let s(n) = -n - 1. Let g(z) = -c(z) - s(z). Suppose 66*o - 102 = 49*o. Calculate g(o). 0 Let z be (0/1 - -10)/1. Suppose 22*y - 32*y + z = 0. Let s(k) = 7*k**2. What is s(y)? 7 Let w(u) = -u**3 - 2*u**2 + u - 4. Let s(j) = j**2 - 4*j - 3. Let q be (-72)/(-6)*(-3)/(-9). L
{ "pile_set_name": "DM Mathematics" }
7387.284 What is the product of 4 and -1213879? -4855516 -631.1824 * -0.1 63.11824 Calculate -0.1012*17.56. -1.777072 -1.062948 times -0.065 0.06909162 Product of -19280136 and -4. 77120544 -15.9182 times 5.723 -91.0998586 What is -0.5 times -118962872? 59481436 Calculate -676971*-0.08. 54157.68 What is -1025.45 times 1751? -1795562.95 What is -0.731906 times 5.25? -3.8425065 What is the product of 13705 and -0.3685? -5050.2925 What is the product of 16217 and 96? 1556832 Product of -0.281 and 20066. -5638.546 Product of -187.09 and 0.1528. -28.587352 Calculate -574*245167. -140725858 -211903074*-2 423806148 What is 71630794 times -1? -71630794 Work out -0.2 * 319.31197. -63.862394 Work out 1.0264 * 1.055. 1.082852 What is 0.3 times 16840830? 5052249 -705265 * 0 0 Multiply -131461 and 3281. -431323541 0.492*0.31664 0.15578688 Multiply 15.50928 and 0.3. 4.652784 29*-121145 -3513205 What is 4394 times 277.1? 1217577.4 Multiply -152363 and -0.0605. 9217.9615 327487 * -0.35 -114620.45 Calculate 16579*-2.672. -44299.088 0.4*-85245.05 -34098.02 Calculate -10726444*27. -289613988 -1116475236 * 3 -3349425708 36100570*0 0 Multiply -1302446 and 22. -28653812 Multiply 3.5 and 295107. 1032874.5 0*-0.0983728 0 Multiply -187.7 and -0.0679405. 12.75243185 -0.2 * -3.91261 0.782522 What is the product of -174.14 and -119? 20722.66 -227842 times -0.6 136705.2 Work out 0.239718 * 0.17. 0.04075206 What is -0.02986 times 2378? -71.00708 -4148920*-0.02 82978.4 -7823315 times 1 -7823315 0.1 times -12.077988 -1.2077988 581.5 * 70216 40830604 Product of 315 and 45.212. 14241.78 What is the product of 92.031021 and -8? -736.248168 175810 * 8.97 1577015.7 73 * 26930 1965890 -290.6399*74 -21507.3526 -1963 times -1668.32 3274912.16 What is the product of 0.5 and 36435248? 18217624 Calculate -1.1*3215.939. -3537.5329 What is 7 times -839757.96? -5878305.72 What is the product of -244 and -0.00447? 1.09068 Work out -32 * 0.3789448. -12.1262336 -2.152834 times -14 30.139676 What is the product of 0.184293 and -7.6? -1.4006268 10235809*-2 -20471618 -9793484 times 0.63 -6169894.92 Multiply 6264 and -427. -2674728 Product of -30427364 and 0. 0 Calculate -706921*0.35. -247422.35 -0.3 times 501.79735 -150.539205 3 times 7703859 23111577 Calculate 1*315711. 315711 0.072 * 122342 8808.624 -2972514.5*-5 14862572.5 77188.85*0.028 2161.2878 Multiply -0.3 and -10.9345005. 3.28035015 Work out -30730 * -4.224. 129803.52 0.5*-3321623 -1660811.5 What is the product of -2718 and -39960? 108611280 468*43629 20418372 Calculate 82757*1.7. 140686.9 What is 23.6 times -27796? -655985.6 What is 2.84 times -655326? -1861125.84 Calculate -0.4*-3.5808204. 1.43232816 -2 times -3.6848639 7.3697278 -797572.15*0.08 -63805.772 Multiply 0.07555 and -1.095. -0.08272725 -1.483 times -132.35 196.27505 Work out 0.6144 * 14840. 9117.696 Calculate -0.01*4072.8716. -40.728716 -0.97 * -6659 6459.23 Work out -6225 * 0.2051. -1276.7475 Work out -0.0702614 * -0.1. 0.00702614 -1.85894*750 -1394.205 Multiply -3.65 and -2419.47. 8831.0655 0.03 times -42.43649 -1.2730947 89 times 521.54 46417.06 What is the product of 852.87 and -1469? -1252866.03 Multiply 43140.2 and 4. 172560.8 -53395501 times -1 53395501 Product of 0.53146 and -4899. -2603.62254 What is the product of 9565.37 and 0.72? 6887.0664 Calculate -483*-286340. 138302220 What is the product of -1251 and -5001? 6256251 549534 times 11 6044874 What is -0.3 times 244550399? -73365119.7 Product of -14.2119 and -0.196. 2.7855324 What is 1364 times 76714? 104637896 -159.4 * 191.53 -30529.882 What is the product of -0.01 and 1739521? -17395.21 Multiply -0.152474 and 17.46. -2.66219604 Product of 108717 and -140.3. -15252995.1 What is the product of 0.03 and 155654? 4669.62 -0.2*-1736132 347226.4 Multiply -2 and -1.419296. 2.838592 Calculate -5.56*-1.246. 6.92776 5 times -620750 -3103750 What is the product of -0.3 and 205106098? -61531829.4 Calculate -13554*-1801. 24410754 Product of -111 and 345823. -38386353 What is the product of -9949 and -9366? 93182334 Calculate -1150*4550. -5232500 What is the product of 7635754 and 170? 1298078180 -0.12783637 times -2 0.25567274 1.15586681*5 5.77933405 What is 0.0638 times -2763? -176.2794 768927*2.8 2152995.6 Calculate 0.817*-0.099885. -0.081606045 6125182*-1.9 -11637845.8 7425 times -0.114178 -847.77165 Multiply 9657.4318 and -1. -9657.4318 Work out 2.5 * 79699. 199247.5 Work out 0.72073 * 91.3. 65.802649 Work out 6.727 * 615. 4137.105 Multiply 182473802 and -6. -1094842812 Work out 311.2 * -990.9. -308368.08 Work out -0.04 * -5.538831. 0.22155324 What is the product of -10844797.5 and 0.1? -1084479.75 What is the product of 263849.4 and 0.5? 131924.7 0.4*-98361.6 -39344.64 Multiply 123 and 4778302. 587731146 What is the product of 0.009 and 852056? 7668.504 What is the product of 961 and -2.9775? -2861.3775 -0.2 times -5621191.2 1124238.24 Work out -121.2 * -15066. 1825999.2 Multiply 0.058223 and -2670. -155.45541 Calculate 0.061*75.3648. 4.5972528 What is 17 times 23514847? 399752399 Calculate 23.4417*-2.5. -58.60425 Work out -217879478 * -0.4. 87151791.2 What is 1 times 24651703.8? 24651703.8 What is the product of -8 and -307659? 2461272 Multiply -0.01584 and -0.276. 0.00437184 Product of -372 and -143507. 53384604 Calculate 227*-74167. -16835909 Work out -0.6 * -1033917. 620350.2 -0.022*-16585778 364887.116 Calculate 3.8859*2.41. 9.365019 Product of 11 and 1119974. 12319714 What is 0.022395 times -0.3164? -0.007085778 Work out 13655 * -7992. -109130760 Product of -523.38 and -322. 168528.36 Work out -3870.88959 * 2. -7741.77918 -35550821 times 0.05 -1777541.05 0.01*-40362766 -403627.66 -1593499.7 * 3 -4780499.1 70146729*-5 -350733645 Multiply -0.03 and 40613.31. -1218.3993 Multiply 1.8517 and -819. -1516.5423 Calculate 600215178*-0.2. -120043035.6 Multiply -4.185249 and -1.2. 5.0222988 Multiply 0.1122 and 4844.6. 543.56412 Work out -2 * 28.567176. -57.134352 What is the product of -2327121 and 0.2? -465424.2 60690664 * 0.2 12138132.8 Work out -13.1 * -2306496. 30215097.6 -12.3 times 6.2428 -76.78644 5750168 times 9 51751512 0.0957 times -140.25 -13.421925 Work out 22.57 * 0.05653. 1.2758821 Product of -0.1384 and 30419. -4209.9896 Multiply 0.5 and 584162. 292081 Work out 34.007439 * -4. -136.029756 Product of 1759.889 and 23. 40477.447 Calculate -4*937.1585. -3748.634 Calculate -47137*2.106. -99270.522 -224952*-6 1349712 Product of 0.031309 and -3. -0.093927 Calculate -47.9*1007.4. -48254.46 57*3558094 202811358 Multiply -8513.2615 and 11. -93645.8765 -20803 * -62 1289786 What is the product of -4 and 0.0592886? -0.2371544 What is the product of -2 and -4380508? 8761016 336*584.705 196460.88 -8804 times 4698 -41361192 Work out -163907.1 * -16. 2622513.6 359 * -2348 -842932 What is the product of 7.2189 and -779? -5623.5231 What is the product of 4.6 and -46864? -215574.4 Multiply -3608 and -4047. 14601576 -0.1 * -40426303 4042630.3 Work out 0.3167169 * -0.8. -0.25337352 What is the product of 0 and -91816286? 0 What is the product of 39 and 254884? 9940476 What is -72326 times -1.0884? 78719.6184 Calculate 5*-729736. -3648680 -5 times -10575071 52875355 What is the product of -1.4797579 and 0.028? -0.0414332212 Multiply 0.5 and -58447.65. -29223.825 -0.5 * 3486276.5 -1743138.25 -0.0091 times 323220 -2941.302 Work out 24587 * -168. -4130616 Multiply 677.3 and -0.1341. -90.82593 Multiply 0.21 and -12488552. -2622595.92 What is the product of -407422 and 2.8? -1140781.6 -0.1*10472453 -1047245.3 Work out -0.03267 * 1111. -36.29637 What is the product of -2 and 34131.16? -68262.32 -5*-4786824 23934120 What is the product of 15.9 and 66? 1049.4 5952835*-7 -41669845 Product of -218.5 and 25142. -5493527 What is the product of 68 and -13066.8? -888542.4 What is the product of -1544.31 and 2.71? -4185.0801 Work out -1078.221 * -6. 6469.326 Multiply -0.54521 and 4.01. -2.1862921 -149660 times -18.1 2708846 Product of -0.064606 and -187. 12.081322 What is the product of -89195580 and 4? -356782320 Work out 19 * -2670440.6. -50738371.4 11317 * 46733 528877361 Calculate 78*-0.268819. -20.967882 41859539*0.1 4185953.9 What is 0.266763 times -4.69? -1.25111847 -1478992*31 -45848752 Work out -152160 * 23.3. -3545328 4073912 tim
{ "pile_set_name": "DM Mathematics" }
ue in a, -4/3, 0.04? 0.04 Let y = -13900 + 13895. Which is the smallest value? (a) -1/5 (b) 3 (c) 472 (d) 0.1 (e) y e Let d = 0.3 + 0.7. Let j = -192 + 191. Let z = j - d. What is the smallest value in z, 1, 0.3? z Let t = -1698 - -2417. Let h = 676 - t. What is the biggest value in 5, 0, h? 5 Let u = -0.3652 + 0.2652. What is the second smallest value in 4, u, 0, 0.1, -1/4? u Let r = 2.4 + -1.6. Let v = 1.2 - r. Let m = 346 + -344. What is the smallest value in 0.1, m, -1, v? -1 Let h = -13 + 18. Let z be (8/6)/4*2. Let k be (-4)/((24/(-30))/((-14)/(-35))). What is the fourth smallest value in -3, z, h, k? h Let j = -1295 - -987. Let t = j + 311. Which is the third biggest value? (a) t (b) 5 (c) 1/4 c Let q be ((-10)/(-15) + -1)*-9. Let y = 20 - 23. Which is the smallest value? (a) q (b) 87 (c) y c Let k = 17685/8 + -2211. What is the smallest value in 4, k, -4, 2/3, -2/9? -4 Let k be 6/(-21) - (-252)/(-147). Let q(t) = t**2 + 8*t + 6. Let m be q(-1). What is the fourth biggest value in 3/2, 0.8, m, k? k Let j = 0.09 - 0.49. Suppose -22*b - 323 + 358 = 211. What is the third smallest value in -3/4, b, j, 5? j Let y = 27.3 + -27.7. Let g be -2 + 3/2 - (5 + -6). Suppose 2*c - w + 4*w - 20 = 0, 4*w = c + 12. What is the fourth biggest value in g, -12, y, c? -12 Suppose 0 = -2*m - 4*t - 20, 6*t = 4*m + t - 25. Let h = 206931 + -3102839/15. Let w = h + -75. Which is the second biggest value? (a) w (b) m (c) 1/7 a Let u = -10879 - -10879.3. What is the third smallest value in u, -3, -963, -5? -3 Let n = 733 - 703.1. Let c = 17.9 - n. What is the second biggest value in c, 0.1, -5? -5 Let m = 3.7 + 7.1. Let d = 9 - m. Let j(q) = -43*q - 131. Let o be j(-3). Which is the smallest value? (a) d (b) o (c) -3 c Let u = -1.8232 - -2.0232. Which is the smallest value? (a) 0.47 (b) 3/4 (c) -0.3 (d) u (e) 0 c Let o = 16.3 - -3.7. Let n = 16 - o. Let j = 5 + n. Which is the biggest value? (a) j (b) 1/2 (c) 0.1 a Let r = 44.9855 + 0.0145. Let f = -43 + r. What is the second biggest value in 0.01, -2/11, f? 0.01 Let j be 9 + 492/(-60) - 210/325. Which is the smallest value? (a) j (b) -0.02 (c) 0.1 (d) -2 (e) -0.1 d Let p = -3 + 2. Let i = -4.97449 + -0.02551. Let w = 0 - 2. Which is the fourth biggest value? (a) p (b) 1/3 (c) w (d) i d Let h = -2 + 3. Let d(f) = -9*f**3 + 4*f - 3. Let j be d(1). Let g be j/(-12) - 2/(-3). What is the second biggest value in h, 1/2, g? h Let i = 330 + -274. Let k be (-264)/i - (-15)/3. Let l = -0.1 + 0.5. What is the second smallest value in l, 0.2, k, 12? k Let s = 0.45208 + 0.04792. Which is the smallest value? (a) -9 (b) -11 (c) -4 (d) s b Let q = -5.305 - -4.305. Let m = 0 - 0.5. What is the third smallest value in q, -2/7, 2/5, m? -2/7 Let l = 0.748 + -0.648. Let k = -4.97 + -0.03. Which is the smallest value? (a) k (b) -3 (c) l (d) 0 a Let t = 995 + -527. Let p = t + -472. Which is the third biggest value? (a) p (b) 1/2 (c) -2/9 (d) 11 c Let i = 0.087 - -0.213. Let z = 14134/19 - 744. Which is the smallest value? (a) -0.02 (b) z (c) i b Let y = 38.794 - 39.2. Let q = y + 0.106. Which is the fourth biggest value? (a) q (b) 2/5 (c) 2 (d) -0.1 a Let k = -0.423 + -0.007. Let v = -1.13 - k. Let d = v - -3.7. What is the second biggest value in 6, d, 1? d Let v = -33495/8 - -4187. Suppose 0 = s - 3*s - 10. What is the second biggest value in v, s, -0.5? -0.5 Let l = 0.7956 - 11.7956. What is the fourth biggest value in 12/7, l, -5, 1/4? l Let f = 1056151/4928966 + 4/352069. Let w be (-3)/(-12)*2/2. Which is the smallest value? (a) w (b) f (c) 5/3 (d) -2/9 d Let l be ((-3)/(-27))/(1 - 15/10). Let k be 40/24 + 12/(-72). Which is the smallest value? (a) 3/5 (b) -4 (c) l (d) k b Let n = 4771 + -4766. What is the second smallest value in -3/26, n, 3? 3 Let g = -0.352 + 311.352. Let f = g - 311.5. What is the biggest value in f, -5, 3, -0.01? 3 Let j = 121/51 + -554/255. Which is the fourth smallest value? (a) 25/6 (b) -0.1 (c) j (d) -1 a Suppose 3*x - 16 = -10. Let p be -14*x/24 - 2/(-3). Let j be 6/8*(-4)/(-18). What is the third biggest value in p, -2, j? -2 Let y(g) = g**3 + 12*g**2 - 3*g + 130. Let u be y(-13). Let p = 445/6 + -74. Which is the biggest value? (a) p (b) 4 (c) u (d) -1/5 b Let s = -51 + 559/11. Let w = -116 - 24. Let o be (-5)/((-35)/2) + 152/w. Which is the second smallest value? (a) s (b) o (c) 2/7 (d) 0.1 a Let o = 4694 + -4689. What is the smallest value in o, 0.3, -1/7, 0.04, 3? -1/7 Let w = 2.6 + -3. Let k be 56/(-28) + 4*1. Let j be (-114)/6*2*k/(-4). What is the smallest value in 3, j, w? w Let g(i) = -i**2 - 12*i + 140. Let h be g(7). Let j be -60 - -62 - (-1)/((-3)/5). Which is the third smallest value? (a) j (b) h (c) 0.1 b Let h = -47 - 13. Let q = -59.94 - h. Let d = -99 + 101. What is the fourth smallest value in 2/7, q, d, 2/3? d Let p = 72795 - 72793. Let w be 25/(-9) + (-4)/18. Which is the third biggest value? (a) 3 (b) p (c) w (d) 0.1 d Let j = 2196 - 2193. Which is the third biggest value? (a) -5 (b) 9 (c) j (d) -9 a Let k = -380.6 - 34.4. Let t = k - -415.9. Which is the smallest value? (a) -6 (b) t (c) 0 a Let d be (1 + 3)/(1/(-1)). Let w be ((-5)/30)/(1/d). Let l = -0.07741 - 2.92259. What is the second biggest value in 0.2, 1/2, w, l? 1/2 Let g = 8859 + -389795/44. Which is the second smallest value? (a) -13 (b) g (c) 0.4 b Let p = -42 - 156. Let x = p + 194. Which is the smallest value? (a) x (b) 1 (c) -1/4 (d) 2 a Suppose q - 2*q - 5 = -4*x, -q + 2*x = 1. Suppose 15 = q*m + 2*m. Let v(o) = -2477*o + 32197. Let c be v(13). What is the smallest value in c, 0, m? c Let g = -944 - -990.7. Let j = -50.7 + g. Let v = -0.175 - -0.2. What is the smallest value in 4, j, v? j Let t be -2 - (-4 + ((-2888)/16)/(-19) - 7). Let l be (-3)/(-4)*4/6. What is the third biggest value in -4, l, t, -0.4? t Let q = -3.578 - 47.422. What is the second biggest value in -1/5, -1/3, q? -1/3 Let x = 16.088 + -0.088. What is the third biggest value in x, 5/2, -0.2? -0.2 Let g = 2.1 + -0.1. Let j = -439.05 + 439.35. Which is the third biggest value? (a) -2/55 (b) j (c) g a Let z be 4/(-3) + (-5 - (-3 - 5)). Let g = -30 - -9. Let v = -19 - g. Which is the second smallest value? (a) -0.5 (b) v (c) 0.4 (d) z c Let w = -679212/41 - -16566. What is the fourth biggest value in 4, -0.2, -2.5, w? -2.5 Let f = 187.24 + 2.76. Let a = f - 91. Let p = a + -95. What is the second biggest value in -5, p, -12, 1/7? 1/7 Let u be 3 - 39/91 - (6 + -3). Let b = -4.8 - 1.2. What is the second biggest value in u, -2/5, b? u Let r(q) = -q**3 + 20*q**2 - q + 30. Let t be r(20). Suppose t = -3*p + 1. Let u = -0.43 - -0.03. Which is the third smallest value? (a) p (b) u (c) -5/4 b Suppose 8*y - 4*y - 180 = 0. Let j be (-690)/y - 2/3. Let k = -1516/253 - -142/23. Which is the second smallest value? (a) j (b) 0.3 (c) k c Let p = -0.07235 + -0.12765. Let l = 2.6 - 30.6. What is the second biggest value in 0.5, p, l? p Suppose -318 + 288 = -30*r. Let w = -2.94 - -3. Which is the second smallest value? (a) w (b) r (c) -0.4 (d) -2 c Let i be (-5)/15 - 272/12. Let z = i - -41. Suppose z = -4*f + 6. What is the biggest value in -11, f, -2/7? -2/7 Let y(h) = h**2 - 13*h - 2. Let u be y(17). Suppose -59*k - 35 = -u*k. Which is the biggest value? (a) 4/5 (b) 17/4 (c) k c Let d = 2/45755 + -91524/320285. What is the fourth biggest value in 3, -4, -2, -0.028, d? -2 Suppose 4*x = -2*j + 12, -x - 2*j + 4*j = -3. Suppose 0 = 3*u + x - 15. Let i be (2/9)/(40/(-120)). What is the second biggest value in -0.2, u, i? -0.2 Let k = 1.008 - 1.908. Let z = -0.05 - -2.05. Let i = z - 1.8. What is the second smallest value in i, 5, k? i Let k = -2933.7 - -2976.7. Which is the biggest value? (a) 0.4 (b) 2/27 (c) k (d) -1/3 c Let k = -2.23091 + 3.03091. Let d be 2/10*1*-2. Let v = 1/5 + d. What is the third biggest value in 5, k, v? v Let c be (6/(-4))/(18*9/54). What is the second smallest value in -20, c, 2? c Let r = -10.403 + 9.903. Which is the third smallest value? (a) r (b) -1 (c) -5012 a Let p = 18938 - 18937.9483. Which is the second biggest value? (a) 0.08 (b) p (c) -0.2 b Let b = -1.0368 + 0.7368. What is the third smallest value in
{ "pile_set_name": "DM Mathematics" }
40*j**2 Suppose 5*j + 0 = 10. Let z = j - -3. Find the second derivative of 4*o**2 - 3*o - 4*o**2 + 2*o**z wrt o. 40*o**3 Let l(r) be the third derivative of -r**10/151200 + r**6/240 + r**5/30 + 4*r**2. Let a(p) be the third derivative of l(p). Differentiate a(u) with respect to u. -4*u**3 Let o(q) be the second derivative of q**5/4 + 7*q**3/3 + 15*q. What is the second derivative of o(k) wrt k? 30*k Suppose -4*l + 3*l = -15. Suppose 12 = 3*y + y - 4*j, l = 4*y - j. Find the second derivative of -y*v - v**3 + v + 0*v wrt v. -6*v Let h(t) be the second derivative of -t**6/60 + 5*t**3/6 + 2*t**2 + 5*t. Let i(u) be the first derivative of h(u). What is the first derivative of i(s) wrt s? -6*s**2 Let a(g) be the first derivative of 11*g**4/4 + 37*g**2/2 + 21. Find the second derivative of a(j) wrt j. 66*j Let d(r) be the second derivative of 7*r**6/30 + 5*r**2 + 10*r. Differentiate d(w) wrt w. 28*w**3 Suppose 3 = -5*q + 18. What is the third derivative of -4 + 4 + 4*b**q - 4*b**2 + 0*b**3 wrt b? 24 Let i(t) be the second derivative of t**8/6720 - t**5/60 + t**4/4 - t. Let o(u) be the third derivative of i(u). Differentiate o(c) with respect to c. 3*c**2 Find the third derivative of -3*t**4 - t - 407*t**2 - 15*t**4 + 370*t**2 - 20*t**4 wrt t. -912*t Let r(m) = -2*m - 5. Let v be r(-5). Let s be 136/40 - 2/v. Find the second derivative of 3*p + p - s*p**3 - p wrt p. -18*p Let a(m) = -11*m - 23. Let d(h) = 10*h + 23. Let o(c) = -2*a(c) - 3*d(c). Differentiate o(r) with respect to r. -8 Let z(k) be the first derivative of -19*k**6/3 - 14*k**3 + 48. Find the third derivative of z(m) wrt m. -2280*m**2 Let h(i) be the first derivative of -15*i**3 - 22*i**2 + 38. What is the second derivative of h(n) wrt n? -90 Let s(b) be the second derivative of -b**3 + 41*b**2/2 + 16*b. What is the first derivative of s(y) wrt y? -6 Let k(i) be the first derivative of -3*i**4 - 2*i**3/3 + 12. Find the third derivative of k(r) wrt r. -72 Let q(w) be the first derivative of 6*w**2 - 8*w**2 + 5*w**2 + 1 + w - 6*w. What is the first derivative of q(f) wrt f? 6 What is the derivative of 3*p - 5*p**2 + 5 + 3 - 3*p wrt p? -10*p Let v(k) be the third derivative of 1/10*k**5 + 0*k**4 - 3*k**2 + 1/3*k**3 + 0*k + 0. What is the first derivative of v(j) wrt j? 12*j Let g(a) = 2*a**3 - a**2 + 2. Let h(i) = -i**5 - 5*i**3 + 2*i**2 - 5. Let n = 6 + -4. Let f(l) = n*h(l) + 5*g(l). Find the third derivative of f(w) wrt w. -120*w**2 Let k(b) = -16*b**4 - 3*b**3 - 3*b - 10. Let s(m) = -16*m**4 - 4*m**3 - 4*m - 11. Let p(l) = 4*k(l) - 3*s(l). Find the first derivative of p(r) wrt r. -64*r**3 What is the second derivative of 0*r + 0*r + 7*r - r**5 - 3*r**5 wrt r? -80*r**3 Let b(p) be the second derivative of -1/24*p**4 + 1/6*p**3 + p**2 + 0 - p. Let j(q) be the first derivative of b(q). What is the derivative of j(m) wrt m? -1 What is the third derivative of -w + w - 5*w**3 - 20*w**2 + 47*w**2 wrt w? -30 Let v(c) be the third derivative of 5*c**9/252 - 17*c**5/60 + 14*c**2. What is the third derivative of v(r) wrt r? 1200*r**3 Let z(q) be the second derivative of -2*q**5/5 - 4*q**2 + 2*q. Find the first derivative of z(t) wrt t. -24*t**2 Let a(l) be the first derivative of -53*l**3/3 - l**2 + 8*l - 7. What is the second derivative of a(z) wrt z? -106 Suppose -4*g = -5*i + 32, 4*i - 2*g - 27 = 1. Suppose -o - 5*l - 16 = 0, i = 3*o + l - 0*l. Differentiate -u**2 + 2 + 0 + o*u**2 - 3 with respect to u. 6*u Let z(g) be the second derivative of g**7/120 - g**4/6 + 7*g**3/6 - g. Let l(o) be the second derivative of z(o). What is the derivative of l(a) wrt a? 21*a**2 Differentiate 5*g - 4 - 1 + 3 with respect to g. 5 Let k(x) be the second derivative of x**4/24 + x**3/3 - 5*x**2/2 - 2*x. Let r(n) be the first derivative of k(n). What is the first derivative of r(m) wrt m? 1 Let h be 0*22/(-33)*3/4. Let l(s) be the second derivative of h*s**2 + 0*s**4 + 1/3*s**3 + 0 - 1/20*s**5 - s. Find the second derivative of l(u) wrt u. -6*u Let u(h) be the third derivative of h**10/1260 - h**6/360 - h**3/6 + 2*h**2. Let x(c) be the first derivative of u(c). Find the third derivative of x(v) wrt v. 480*v**3 Let n(b) = -b**3 + 5*b. Let w(r) = -5*r + 15 - 15 + 2*r**3. Let x(y) = -5*n(y) - 4*w(y). Find the second derivative of x(z) wrt z. -18*z Let u(g) be the first derivative of -13*g**3/3 + 3*g**2 - 1. Find the second derivative of u(h) wrt h. -26 Suppose 3*i - m = -2*m + 89, -2*i + 5*m + 48 = 0. Differentiate 0*p**2 - 27 + 7*p**2 + 0*p**2 + i wrt p. 14*p Let r(i) = -8*i + 10. Let m(t) = -4*t + 5. Let p(g) = 5*m(g) - 3*r(g). Let k(z) = -z. Let f(n) = -k(n) + p(n). Differentiate f(v) with respect to v. 5 Let x(q) be the second derivative of 7*q + 0*q**3 + 0 + 0*q**5 + 1/6*q**4 + 0*q**2 + 1/6*q**6. Find the third derivative of x(w) wrt w. 120*w Let k(d) = 19*d + 5. Let o(n) = 4*n + 1. Let u(g) = 2*k(g) - 11*o(g). What is the first derivative of u(c) wrt c? -6 Suppose -j + 8 = -0*j - 3*z, 0 = 3*j + 2*z - 2. What is the third derivative of -l**5 + 0*l**2 + 2*l**j + 0*l**2 - l**2 wrt l? -60*l**2 What is the second derivative of 4*x**3 + 6*x - 9*x + 4*x**3 wrt x? 48*x Suppose -2*l - 3 = -29. Suppose l - 5 = 4*z. What is the third derivative of -3*d**2 - z*d**4 + 2*d**2 + 4*d**4 wrt d? 48*d Let s(y) = y**3 - 6*y**2 + 5*y + 2. Let q be s(5). Let h = 1 - -4. What is the third derivative of 6*b**q + b**3 + 0*b**2 - h*b**2 wrt b? 6 Let x = 3 + 1. Differentiate t**3 + 3 - t**3 + x*t**4 - 2*t**4 wrt t. 8*t**3 Let c(k) be the first derivative of k**6/3 + 9*k**2/2 + 7. Find the second derivative of c(h) wrt h. 40*h**3 Let b be (-9 + 11)*(-42)/(-4). Find the first derivative of 24*a - 4 - b*a - 2 wrt a. 3 Let f(q) = -q**3 - q**2 + 4*q + 3. Let h be f(-2). Let w be ((-15)/20)/(h/4). Differentiate -1 - 3*n**w + 3 - 3 with respect to n. -9*n**2 Suppose 0 = h - 1 - 4. Let t be (7/(-5) + 2)*h. What is the third derivative of y - 2*y**t + 2*y**2 - y wrt y? -12 Let v be 46/10 + (-6)/(-15). Suppose -3 = -3*q - f, v*q + 4*f = f + 9. What is the second derivative of w - 4*w - 2*w**4 + q*w**4 wrt w? -24*w**2 Let k(d) = d**2 - 4. Let p be k(3). Suppose 0 = w + 3*h + 1, -p*h = -0*w - 4*w + 30. Find the second derivative of 6*u**5 + 3*u - u - 5*u**w wrt u. 20*u**3 Let b(q) = q**3 + q**2 + q. Let x(j) = j**3 - 10*j**2 - 4*j. Let v(c) = -20*b(c) - 5*x(c). Find the third derivative of v(z) wrt z. -150 Let w(a) = a**3 - 2*a**2 - 6. Let m be w(3). What is the derivative of 0*s**3 + 2*s**m + 11 - 4 wrt s? 6*s**2 Let p(s) = -4*s + 7. Let i(q) = 1. Let t(w) = 4*i(w) - p(w). What is the first derivative of t(y) wrt y? 4 Let c(a) be the first derivative of 7*a**4/2 - 54*a + 48. Differentiate c(k) with respect to k. 42*k**2 Find the first derivative of 4*q**2 - 1 + 7 - 3 wrt q. 8*q Let w(l) be the first derivative of -l**9/504 - l**5/12 + 3*l**2 - 9. Let u(f) be the second derivative of w(f). Find the third derivative of u(j) wrt j. -120*j**3 Let l(v) = -v**3 + 3*v + 3. Let m be l(-2). Differentiate g**4 + 0*g**4 - 3 - m*g**4 wrt g. -16*g**3 Suppose 4*k + m - 26 = 3*m, 3*m - 6 = -3*k. Differentiate -5 + 5 - 5 - k*i + 3 with respect to i. -5 Let v = 4 + -2. Suppose -4*o = -2*p - 8, 2 = o - 3*o - v*p. What is the third derivative of -o + 1 + 0 - 2*t**2 + t**6 wrt t? 120*t**3 Let t(f) = -f**3 + 2*f. Let d be t(-2). Let m be 14/4 - 1/2. Find the third derivative of 2*v**d + 2*v**2 + m*v - 3*v wrt v. 48*v Let h(b) be the first derivative of b**5/4 - b**4/3 - 2*b + 1. Let y(u) be the first derivative of h(u). What is the third derivative of y(x) wrt x? 30 Suppose 0 = 3*p - r - 2 - 3, -2*p + 12 = -5*r. Let w be (3 - p) + -3 - -7. What is the third derivative of -2*n**2 + 2 - 2 + n**w wrt n? 120*n**3 Let r(u) = 8*u**4 - 3*u**3 + 62. Let l(c) = 15*c**4 - 7*c**3 + 125. Let d(q) = 3*l(q) - 7*r(q). Find the first derivative of d(j) wrt j. -44*j**3 Let h(y) = -y**4 + y**3 - y**2 + y - 1. Let m(p) = 37*p**4 - 5*p**3 + 5*p**2 - 5*p + 40. Let i(v) = 5*h(v) + m(v). What is the derivative of i(s) wrt s? 128*s**3 Let x(f) be the third derivative of 0*f - 1/60*f**5 + 0*f**4 - 2/3*f**3 + 3*f**2 + 0. Differentiate x(p) wrt p. -2*p Suppose -4*f = -11 - 1. What is the third derivative of 2 + 1 - 3 - f*x**3 + 4*x**2 wrt x? -18 Find the second derivative of -3*i**5 - 18*i
{ "pile_set_name": "DM Mathematics" }
What is the tens digit of 2/(-2) + g/(-3)? 6 What is the tens digit of ((-4878)/(-3) - -1)*68/34? 5 Suppose -12*h + 27 + 21 = 0. Suppose 2*w = 2*p - 0*p - 272, -725 = -5*p - h*w. What is the units digit of p? 1 Let r(o) = -o**2 + 5*o - 3. Let w be r(6). Suppose 5*v = -7*v. Let d = v - w. What is the units digit of d? 9 Let p(l) = 2*l**2 - l**2 + 15*l + 0*l**2 - 6*l - 5. Let v be p(-8). Let k = 25 + v. What is the tens digit of k? 1 Suppose -2*m + t = -5, 5*t = m + t + 8. Suppose -6*o - 120 = -7*o. Suppose 0 = 4*g - 5*a - o, 0 = -5*g + m*a - 7*a + 150. What is the tens digit of g? 3 Suppose 0 = -3*t + 166 + 101. What is the units digit of ((-12)/(-5) - 10/25) + t? 1 Let r be 3 + 1 - 4 - -2. Suppose -y - r*y + 261 = 0. What is the units digit of y? 7 Let v be (-8 - -5)*(-8)/(-6). Let u be 4*3*8/(-24). What is the units digit of u/(-3) - v/(-12)? 1 Let z = -708 - -1018. What is the hundreds digit of 7*(-8)/(-28) + 2 + z? 3 Let v(f) = -8*f + 408. What is the tens digit of v(-22)? 8 Let p = 13 + 13. What is the tens digit of -8*(-3)/156 - (-1660)/p? 6 Let z = -148 - -4852. What is the thousands digit of z? 4 Let z(a) = -32*a - 29. Let u(m) = -48*m - 44. Let p(k) = -5*u(k) + 8*z(k). What is the tens digit of p(-8)? 1 Suppose -3*q = -3*d - 1107, 4*q - 3*d - 1851 = -q. Let m = q - 140. What is the units digit of m? 2 Suppose 4*u + 2*l = -4, l + 10 = -3*u + 3*l. Let g be 26/(-4) + (-3)/u. Let n = 28 + g. What is the units digit of n? 3 Suppose 13*l - 3713 = 1344. What is the hundreds digit of l? 3 Suppose -2*v = -42 - 0. Suppose 0 = -3*x + 408 - v. What is the hundreds digit of x? 1 Let c = -312 + 448. What is the tens digit of c? 3 Let r(t) = -t**2 - 10*t + 1. Let a be r(-10). Suppose 7*k - a - 230 = 0. What is the tens digit of k? 3 Suppose -3*n = -5*b - 47, 0 = 3*n + 2*b + b - 39. Let o be (24/10)/(6/15). What is the units digit of 498/n - o/(-14)? 6 Suppose 8 = -2*i + 3*i. Suppose -i*t - 24 = -4*t. What is the tens digit of ((-2)/t)/((-7)/(-273))? 1 Let w be 218/9 - (-2)/(-9). What is the units digit of 2/(-8) - (-270)/w? 1 Let u = 27 - 22. Suppose -c - 485 = -u*q, -4*c - 217 = -3*q + 57. What is the tens digit of q? 9 Let l(g) = 11*g + 24. Suppose -5*n + 2*v + 40 = 0, 4*v - 7 - 9 = -2*n. What is the units digit of l(n)? 2 Suppose -5551 - 2121 = -14*a. What is the hundreds digit of a? 5 Let y(l) = l**3 + 4*l**2 - 4*l + 5. Let w be y(-5). Suppose w = 5*x - 117 - 238. What is the units digit of x? 1 Let r(j) = -57*j + 491. What is the hundreds digit of r(-50)? 3 What is the hundreds digit of 7*(-996)/9*(-9 - -6)? 3 Let t(b) = 2*b - 1. Let k be t(2). Suppose -k*p = 2*i + 16, -5*p = -p - 2*i + 12. Let n(d) = -6*d - 8. What is the tens digit of n(p)? 1 Let g(j) = 7*j + 97 - 97. What is the tens digit of g(14)? 9 Let p = -2 - -8. Let m be p/(1 - 4) + -15. Let d = 35 + m. What is the units digit of d? 8 Let c(d) = -d**2 + 20*d + 9. Let x be c(19). Let i = 30 - x. Suppose 2*g + i*g - 256 = 0. What is the tens digit of g? 6 Let g(n) = 75*n - 265. What is the thousands digit of g(28)? 1 Let c(j) = 2*j + 15. Let n be c(-6). Suppose 1003 = n*y - x, -3*x = -5*y - 0*x + 1677. What is the hundreds digit of y? 3 Let q = -20 + 108. What is the units digit of q? 8 Suppose -p + 153 + 49 = s, 5*p = -2*s + 404. Let y = s + -121. What is the units digit of y? 1 Suppose -5*a + 4 = -4*a. Suppose -a*n = -90 - 250. What is the units digit of n? 5 Let i(d) = d**3 + 17*d**2 + 15*d + 21. What is the tens digit of i(-16)? 3 Let h(z) = z**2 + 4*z - 42. What is the hundreds digit of h(30)? 9 Let a(x) = 49*x**2 - 2*x + 1. Let r(n) = n**3 - 3*n**2 + n - 2. Let y be r(3). What is the units digit of a(y)? 8 Suppose 0*r + 5*r - 40 = 0. Suppose 0 = -r*t + 5*t + 111. What is the tens digit of (2 - (3 + 3)) + t? 3 Suppose -15 = r - 6*r. Suppose 0 = -4*z + r*g + 31 + 34, 3*z = 2*g + 49. Let b = z + -8. What is the units digit of b? 9 Suppose 5*b - 3*z + 266 = 0, -5*z - 171 = 3*b + 9. Let a(m) = 4*m**3 + m**2 + 2*m + 1. Let x be a(-3). Let v = b - x. What is the tens digit of v? 4 Suppose 4*o + 6*m - 7*m = 345, 0 = -4*o - 3*m + 357. What is the units digit of o? 7 Suppose 0 = -3*a + 3*p + 489, 9*a - 4*a - 2*p - 800 = 0. What is the hundreds digit of a? 1 Let b(h) = -2*h - 17 + 6 + h. Let t be b(-15). Suppose -3*r + 4*k + 88 = 0, -36 = -r - t*k + 2*k. What is the units digit of r? 2 Suppose s - 4*h - 72 + 9 = 0, s - 64 = 5*h. Let x = s - 83. What is the tens digit of (x/(-10))/(6/40)? 1 Suppose -4*o = -2*j + 22, 0 = 2*o - 5*j - 0*j + 23. Let h = 6 + o. Suppose 0 = 3*p - v - 71, h*v = -4*p - 3*v + 63. What is the tens digit of p? 2 Let v(y) = -8. Let o(j) = j - 7. Let u(g) = 5*o(g) - 4*v(g). Let a be u(-6). Let c = a + 60. What is the tens digit of c? 2 Suppose 1 + 7 = 2*k. Suppose 4*d + i - 53 = 23, -k*i = -4*d + 56. Suppose 0 = o + d - 49. What is the units digit of o? 1 Suppose 6*t = -10*t + 4672. What is the units digit of t? 2 Suppose 4*d + 8 = -b - 6, -56 = 3*b - 2*d. Let q(c) = c**2 - c - 23. Let g be q(0). Let m = b - g. What is the units digit of m? 5 What is the tens digit of -1 - (-27)/15 - 9978/(-15)? 6 Suppose 0 = -0*g - 2*g + 20. Let x be 0/(-2) + 20*3. What is the units digit of 288/x - (-2)/g? 5 Suppose 2*j = 0, -w + 3*j + 2 = -0. Suppose -6 = w*q - 10. Suppose -3*l - f - f = -37, 0 = -q*f - 8. What is the units digit of l? 5 Let m(j) = 5 + j - 3 - 3*j - j**2 - 5*j. Let v be m(-4). Let k = v - 12. What is the units digit of k? 2 Let y = 131 + -89. Let x = 117 - y. What is the units digit of x? 5 Let u = 3213 + 208. What is the hundreds digit of u? 4 Suppose 0 = 4*x - 57 - 43. Suppose 85 + x = 5*z. What is the tens digit of z? 2 Let p(h) = -h**3 + 2*h**2 + h + 1. Let w be p(-1). Suppose w*q + q - 4*v = 32, 2*v = -q - 4. What is the units digit of q? 4 Let l be 101/(-5) + 1/5. What is the tens digit of (l/(-6))/((-4)/(-42))? 3 Let f(a) = 3*a - 4. Let c be f(4). Let m = -12 - -7. Let j = m + c. What is the units digit of j? 3 Suppose c + 1 = 7. Suppose c*p - 458 = 4*p. Suppose w + q - 43 = 0, 5*w - q - q = p. What is the tens digit of w? 4 Let u = -1132 - -1676. What is the units digit of u? 4 Let z(k) = 2*k**3 - 86*k**2 + 21*k - 60. What is the tens digit of z(43)? 4 Suppose -30*a + 1054 = 3*n - 25*a, 0 = a - 5. What is the units digit of n? 3 Suppose 0 = 2*f - 2*w - 6, 2*f - 3*f + 2*w + 4 = 0. Suppose -f*k - 28 + 184 = 0. What is the units digit of k? 8 Let s(z) = z**3 - 2*z**2 + 3*z - 12. Let h be (11 + -12)/((-2)/12). Let w be s(h). Suppose 7*m = 12*m - w. What is the units digit of m? 0 Suppose 0 = -5*o + 3*f + 33, -4*f = o - 6*o + 34. Let n(u) = 3*u**2 - u - 26. What is the units digit of n(o)? 6 Suppose -64*g + 5*t + 6620 = -59*g, 2*t - 1321 = -g. What is the hundreds digit of g? 3 Suppose -3*r + 5*r = -2*q + 370, -2*q = -5*r - 335. What is the units digit of q? 0 Suppose 6 = -3*k, -5*w + k = -2*k + 29. Let s = 9 + w. Let r = s - -3. What is the units digit of r? 5 Let y(u) = 11*u - 22. Let o(m) be the first derivative of 5*m**2 - 21*m - 8. Let v(g) = 7*o(g) - 6*y(g). What is the units digit of v(6)? 9 Let h(r) = -343*r - 292. What is the hundreds digit of h(-4)? 0 Let w(p) = -2*p**3 + 21*p**2 + 17*p - 2. What is the tens digit of w(-6)? 8 Let z(s) be the first derivative of -26*s**4 - s**3/3 - s**2 - 2*s - 14. What is the tens digit of z(-1)? 0 Let t(o) = 2*o - 5. Let u be t(4). Let g(i) = -i - u - 2*i**3 + 0*i**3 + 3*i**3 + 4*i**2. What is the units digit of g(-3)? 9 Suppose -d - x - 5 = 8, 0 = 5*d - x + 53. Let h = -6 - d. Suppose 0 = -0*g - h*g + 120. What is the units digit of g? 4 What is the units digit of ((-61)/(-2))/(2/36)? 9 Suppose 0 = 2*s + 2*t - 386, -19*s + 16*s - 2*t = -574. What is the tens digit of s? 8 Let q(f) = f**3 + 9*f**2 + 8*f + 2. Let g be q(-8). Suppose -2*d - 124 = -4*m, g*m - 5*d + 74 = 4*m. What is the units digit of m? 2 Let g(i) = i + 4. Let x be g(-1). Suppose 0 = w - 1, -5*v - x*w + 880 = 152. What is the hundreds digit of v? 1 Suppose -3*k - 4 = -5*k, -5*k = w - 10. Suppose w = 3*d - 1 - 2. What is the units digit of (d*-1)/((-8)/176)? 2 Let j = -9 + 5. What is the hundreds digit of -1 + -2 - j - -132? 1 Suppose 0 = 5*f + m - 56, -5*f + 0*f + m = -54. Let l(o) = f*o**2 - 1 + 3 + 0 - 1. What is the units digit of l(-2)? 5 Suppose -52
{ "pile_set_name": "DM Mathematics" }
407748879818 and 10.6. 13407748879828.6 What is the distance between -2113.0236 and 41.94? 2154.9636 0.2+-0.004424748938 0.195575251062 What is the distance between -0.0506 and 0.978620106982? 1.029220106982 Work out -0.06 + 6220.5557691. 6220.4957691 What is the difference between 0.17 and 10493924967? 10493924966.83 What is 79.17 + 2033.936291? 2113.106291 What is 0.3 minus -168856959664? 168856959664.3 Calculate 2714.489 + -0.01183873. 2714.47716127 What is -0.0458223731 - -24.853? 24.8071776269 What is 0.3 - 68170561392? -68170561391.7 What is the distance between -37679.6 and 44039840? 44077519.6 Calculate -2597091.54282 + -26. -2597117.54282 Subtract 319373.139 from -405.713. -319778.852 Work out 476737819.603 - 0.13. 476737819.473 Total of -19393224925 and 960. -19393223965 Calculate 3 + 80598956542.2. 80598956545.2 Calculate -0.0909717 - 93641. -93641.0909717 Put together -725 and 12461747888. 12461747163 Calculate -0.0334 - 6635371.608. -6635371.6414 Work out 3 + 1304849576778. 1304849576781 Work out -542060300211 - 0.5. -542060300211.5 -2887.7295361064+0.2 -2887.5295361064 What is the difference between -23633973344 and -0.5? 23633973343.5 -1127116729 + -903001 -1128019730 What is -31201 less than -2191237.091? -2160036.091 271234207 - 151635 271082572 Subtract 577016 from -49167604. -49744620 What is -551 - 351401430? -351401981 What is -0.113 take away -5796.054776? 5795.941776 Calculate 889634.715 + 132682. 1022316.715 Put together -118561.5 and 0.376705. -118561.123295 Calculate 1478.677911 + 7.1. 1485.777911 What is -901358 minus 17077450? -17978808 Calculate 0.36101146 + 32525. 32525.36101146 Work out -0.042 + -157236583698. -157236583698.042 What is the distance between 42 and -11068052887? 11068052929 Add together 49 and 1744444621. 1744444670 2172828206311 - -107 2172828206418 314.9 - 66619967 -66619652.1 Work out 0.108 - -45.011751. 45.119751 Work out -98895 + -3539722. -3638617 Work out -322981061230201 - -0.1. -322981061230200.9 Work out 20942 - 264.35057. 20677.64943 What is -99.406491035 less than 360? 459.406491035 Calculate -22.7187035199 - 1. -23.7187035199 Subtract 0.0666 from -20168981. -20168981.0666 What is -3 plus 3730149.9649? 3730146.9649 Total of -96911396.8 and -7. -96911403.8 4623.4+-0.103194201 4623.296805799 Add together -0.03 and 7969732890441. 7969732890440.97 What is the distance between -1.2641847443 and -0.78? 0.4841847443 What is -261 less than -16133130738.9? -16133130477.9 Work out -522211 + 318.901543. -521892.098457 6144781101.34+18 6144781119.34 -0.04416101+89499.63 89499.58583899 What is -172631695303 + 5? -172631695298 Work out 1572 + 15016226113. 15016227685 What is the difference between -5801970775933 and 0.4? 5801970775933.4 Add together -0.5 and 30068017971. 30068017970.5 Calculate -102.9221914 + -91. -193.9221914 Add together -48844643448535 and -0.4. -48844643448535.4 Add together 0.59 and 936000286. 936000286.59 What is 8144266.7280053 take away -0.5? 8144267.2280053 Subtract -7116829972 from 619. 7116830591 Total of 1.24837 and 56920.4. 56921.64837 -157847.625 - 137 -157984.625 What is 1 - -0.516706925788? 1.516706925788 1146910434 - 12041.1 1146898392.9 What is the distance between -1215718272526 and 4? 1215718272530 What is 171.575 minus -87303044? 87303215.575 615.2327546 + -1.04 614.1927546 1.97111 - -17.269045 19.240155 Total of -4038 and -159.74546088. -4197.74546088 Add together -0.240096759 and -7.1874. -7.427496759 Subtract -554.257475376 from -3. 551.257475376 Sum -7583450575 and 41.13. -7583450533.87 -147.03 - 3064196 -3064343.03 What is the distance between 1636809529538 and 1? 1636809529537 What is the distance between -8.9 and -2610.53444937? 2601.63444937 -1650439.56111 - 1.3 -1650440.86111 What is -272007 take away -14765499? 14493492 What is the difference between 3088.9823848 and 1226? 1862.9823848 Calculate 192485 - -5007.6147. 197492.6147 Subtract -6189.586 from 86.31. 6275.896 What is the difference between 35109.8 and -107.885183? 35217.685183 -807192+-3649.633 -810841.633 -33662897+-987.6 -33663884.6 What is -63.3967076465 minus -4? -59.3967076465 0.1228 + -608269.8 -608269.6772 Calculate -649510203 + -23.2. -649510226.2 Total of 325.2282037 and 352. 677.2282037 What is the distance between -1260587715 and -314? 1260587401 What is the difference between 4355113951142 and -5.3? 4355113951147.3 What is 4.9 minus -1225.170099? 1230.070099 What is -1336.1683394107 plus 42? -1294.1683394107 What is -5894697 + -0.2241651? -5894697.2241651 -19080573172 + 0.14 -19080573171.86 What is -3 less than -0.0346990679174? 2.9653009320826 Work out -1130 - -0.0804839. -1129.9195161 4694173740 - 35.4 4694173704.6 Calculate -6 - 0.2256115930854. -6.2256115930854 Calculate 7804482 + -5108.7. 7799373.3 What is -2974566 + 399.018? -2974166.982 Subtract -9697 from 526.511063. 10223.511063 1362651053429 - -30 1362651053459 What is 89 less than -776888334535? -776888334624 What is the difference between -17.46 and 360.889718? 378.349718 Work out 0.3 + 137290536414935. 137290536414935.3 What is the distance between -0.02 and -10.5471477608265? 10.5271477608265 8 - -0.64537452270356 8.64537452270356 What is -0.4 + -1502684293.5481? -1502684293.9481 Calculate -135.8529 - -229.7521. 93.8992 Subtract -1648.1828 from -558442. -556793.8172 Work out 0.0644620677 - -19459. 19459.0644620677 Total of -4.1 and -1853.630217. -1857.730217 Work out -44811 - 4262704. -4307515 What is 0.06 plus -7712990637019? -7712990637018.94 143.075852 - -142131.1 142274.175852 Add together 819 and -221235676056. -221235675237 Subtract 11819797469 from -2676. -11819800145 What is the distance between -11758339 and -3.3687194? 11758335.6312806 -3939523 - -1214.4041 -3938308.5959 Total of 0.043127521 and 22377. 22377.043127521 Add -0.03985947686 and 16. 15.96014052314 -2084558+19416913 17332355 What is the distance between 823471963 and -1.995? 823471964.995 What is -418917.7774346 + -0.1? -418917.8774346 Calculate -1116452 - -823873. -292579 What is -1.1374 minus 2182551.123? -2182552.2604 What is the distance between 31418.64838 and -9? 31427.64838 Sum -71903 and 112283641. 112211738 What is -127 - -32975909157? 32975909030 Add together 1.14 and 504.7357929. 505.8757929 Work out -373.3799424 - -0.88557. -372.4943724 Work out -0.07730197462 + 989. 988.92269802538 Calculate 28017329 + 136576. 28153905 Sum -8042588771 and 0.7. -8042588770.3 What is -15825.788922725 plus -4? -15829.788922725 What is -34922 + -2.3542827? -34924.3542827 Add -6038 and 13256.5713. 7218.5713 Work out -204 + -691442445.2. -691442649.2 Add together 321.49545021243 and -0.08. 321.41545021243 What is the difference between 42605 and 3260659.8? 3218054.8 Total of 0.0469 and 782145812. 782145812.0469 What is the difference between 28.01 and -62540.05? 62568.06 Add 1 and 162773757428181. 162773757428182 What is 2280031937 minus -724? 2280032661 Put together -6.73591 and 21465. 21458.26409 Work out -2399 + 1019791275. 1019788876 Add together -9057675 and -880209.1. -9937884.1 What is the difference between 7.128319 and 13819475? 13819467.871681 0.017644 + 144405530 144405530.017644 Work out -29245736569 - 3.4. -29245736572.4 -2.6433331 - 76.66027 -79.3036031 What is -507232630.445 plus 0.128? -507232630.317 What is -2 + 557465221250? 557465221248 What is the difference between 108489511 and -56.1611? 108489567.1611 Total of -14.8006086894 and -221. -235.8006086894 What is -25468.947 + -0.59814? -25469.54514 Work out -15328526200491 - -3. -15328526200488 -7.972503 + 29512 29504.027497 Subtract -2910956.0475196 from -8. 2910948.0475196 Sum -0.00613273158 and 0.0603. 0.05416726842 0.06875071042 - 0.498 -0.42924928958 -25151987.1+-2.2512 -25151989.3512 Subtract -67072729 from 126903. 67199632 -1+-323.107450397598 -324.107450397598 0.2117394419 + -637.4 -637.1882605581 Work out -188055 - -0.943595. -188054.056405 Work out -1257.09869821 + 19. -1238.09869821 Calculate 12388573070693 + -13. 12388573070680 Calculate -170866330932 - -0.252. -170866330931.748 What is -751.9681022 plus -3.7? -755.6681022 518476708.8035+0.3 518476709.1035 Subtract -2566.6485186 from -0.057. 2566.5915186 1581907+-1024.638 1580882.362 What is 103918890 - -24799? 103943689 Wha
{ "pile_set_name": "DM Mathematics" }
t(-2). 7 Let n(r) be the first derivative of -3*r**4 + r**3/3 - r**2/2 - r - 52. Determine n(-1). 13 Let b(j) be the second derivative of j**3/6 + j**2/2 + 14*j. Determine b(7). 8 Let l(c) = -3*c - 3*c**3 + 5*c**3 + 2*c**2 - c**3 - 2. Calculate l(-3). -2 Let i(g) be the second derivative of 0 + 3*g - 1/2*g**2 + 2/3*g**3 - 1/12*g**4. Give i(3). 2 Let t(a) = 3*a**2 + 9*a - 8. Let x(i) = -i**2. Let c(v) = -t(v) - 4*x(v). Let h = 8 + -4. Let y = 10 - h. Calculate c(y). -10 Suppose -5*w = -4*w. Let m(v) = -v + w - 1 + 2 + 2*v. Calculate m(6). 7 Let a = -8 + 13. Suppose 4*x = -5*j + 35, -a*x + 22 + 0 = -j. Let f(s) = s**3 - 1 + 0 + 5*s**2 + j*s + 0. Give f(-4). 3 Suppose 0 = -6*p + 2 + 16. Let l(f) be the third derivative of -1/8*f**4 + 0 + 0*f + 0*f**p - f**2. Give l(-3). 9 Let z(y) = 6*y**3 + 5*y**2 - 5*y + 5. Let g(s) = -5*s**3 - 4*s**2 + 4*s - 4. Let w(o) = -5*g(o) - 4*z(o). Let n = -3 - -2. Give w(n). -1 Suppose 0 = 2*c - 2, -3*c = -3*m - c - 5. Let y = -3 - m. Let f(u) = -2*u**2 - 8*u + 3. Let v(l) = 2*l**2 + 7*l - 2. Let q(k) = -5*f(k) - 6*v(k). What is q(y)? -7 Let s(m) = -m**3 - 6*m**2 - 5*m - 5. Let b(x) = x**2 + 5*x + 1. Let o be b(-2). Determine s(o). -5 Let f(q) = 5 - 8*q**2 + q**3 - 4*q**2 + 18*q**2 - 7*q**2. Give f(0). 5 Let b(v) = 2*v**2 - 2*v**2 + 13*v + v**2 + 15. Let y be b(-12). Suppose -7*c = -y*c - 4. Let o(t) = 2*t. What is o(c)? 2 Let i = 5 + -9. Let g(f) = f**2 - 1. Let n be g(-2). Let h(y) = 1 + 0 + 4*y**2 + y - n*y + y**3. Determine h(i). 9 Let p(s) be the second derivative of s**5/20 + s**4/3 - s**3/3 - 3*s**2 + 5*s. Determine p(-4). 2 Let t = 82 + -73. Let y(w) = w - 3. What is y(t)? 6 Let f(l) = l**2 + 9*l + 6. Let z = 4 - 11. What is f(z)? -8 Let m(j) be the first derivative of -j**2/2 - 9*j + 9. Give m(-7). -2 Let d(s) be the first derivative of 3*s**2 + 8. Suppose -q + 14 = -2*q - 5*v, 3*q + 2*v + 3 = 0. Determine d(q). 6 Let n(c) be the third derivative of -c**6/120 + 7*c**5/60 + c**4/24 - c**3/6 - 5*c**2. Give n(7). 6 Let v(t) = -2*t + 1. Suppose -21*h = -19*h + 2. What is v(h)? 3 Let g be -7 - 3/(-9)*3. Let p(z) = -z - 4. What is p(g)? 2 Suppose -3*v = -6*v. Let o(r) = -r**2 + 8*r - 9. Let x be o(6). Let h(z) = -x + z**2 - 2 + 0*z**2 - z. Determine h(v). -5 Let z(f) = -f - 4*f + f**2 - f - 2. What is z(7)? 5 Suppose x - 5*x = 12. Let s(a) = -a**3 - 3*a**2 + a + 4. Give s(x). 1 Let w(t) = t**2 - 6*t - 6. Let x be w(6). Let q(l) = -l**2 - 5*l - 7. Determine q(x). -13 Let b(v) = 2*v**3 - 2*v**2 + v. Suppose 3*y = -3*c - 9, -8*c + 3*c = -3*y + 15. Let n be (-1 - 0 - y)*-1. What is b(n)? 1 Suppose 4*g = -p - 27, 7*p - 5*p + 6 = -2*g. Let j(x) = x**3 + 8*x**2 + x + 5. What is j(g)? -3 Let c = 3 - -1. Suppose -c*z - 4*x + 3 = -1, -2*z - x + 5 = 0. Suppose a + 24 = 5*a - z*m, 2*a - m - 8 = 0. Let f(r) = -2*r + 3. Determine f(a). -1 Let u(p) = -p**2 + p + 4. Let w = -46 - -46. Determine u(w). 4 Let z(x) be the first derivative of -1/12*x**4 - 1/20*x**6 + x**2 - 1/6*x**3 + 0*x - 1 + 0*x**5. Let m(l) be the second derivative of z(l). Give m(-1). 7 Let a(i) = i**3 - 5*i**2 + 8*i - 2. Let h(x) = -x**3 + 5*x**2 - 7*x + 1. Let k(s) = -5*a(s) - 6*h(s). Let f be k(4). Let j(o) = o + 1. Calculate j(f). -3 Let b = 102 + -103. Let i(r) = -13*r**2 + 2*r + 1. Give i(b). -14 Let d(w) = 5*w**2 - 5*w - 4. Let j(a) = 9*a**2 - 10*a - 7. Let m(v) = 11*d(v) - 6*j(v). Calculate m(-6). 4 Suppose -5*m = -m - 8. Suppose j - 4 = 2*x - 0, -m*x - 5*j = -8. Let p(t) = -t + 1. Let u(z) = 3*z - 3. Let n(i) = x*u(i) - 4*p(i). Give n(-2). -3 Let t be 3 + 4*1/1. Suppose -4*v = -2*f + v + 23, t = -2*f - v. Let h(c) = 5*c**2. Give h(f). 5 Suppose -h + 3 = -1. Let t(o) = 2*o**3 + o**2 - o. Let m(x) = 11*x**3 + 11*x**2 - 10*x + 4. Let q(l) = -m(l) + 6*t(l). Calculate q(h). -4 Let z(a) be the second derivative of -a**3/6 - 2*a**2 - a. Let d = -46 - -32. Let x = d - -8. Calculate z(x). 2 Let f be 2/(-7) + 432/42. Suppose 5 + f = g + 5*u, -g = -u + 3. Let c(l) = l - 6. Let x(k) = -k + 5. Let o(n) = -6*c(n) - 7*x(n). Determine o(g). 1 Let q(m) = m - 1. Let r(o) = 4*o - 8. Let k(u) = -5*q(u) + r(u). Calculate k(-5). 2 Let o(x) = -x**3 + 4*x**2 - x + 3. Let p(q) = 1 + q**3 + 3 - 9*q**2 + 0. Let r be p(9). Calculate o(r). -1 Let i(a) = 1 - 3*a + 14 + a - 5. What is i(7)? -4 Let l = -10 - -14. Let s(q) = 4 + 2*q - l + 0 + 4. Give s(5). 14 Let u(d) = d + 3. Let q be u(0). Let a(g) = g**2 - 3*g + 3*g - 7*g**q + 14*g**3. Give a(1). 8 Let d(m) = m**2 + 6*m + 7. Suppose 5*f - 38 = 3*f. Let l = f - 9. Let a = -16 + l. Give d(a). 7 Let j(l) = 3*l + 1. Let s(y) = -7*y**3 - 15*y**2 - y. Let c(f) = -3*f**3 - 7*f**2 - f. Let t(b) = 5*c(b) - 2*s(b). Let k be t(-4). Calculate j(k). -11 Let l(n) = -n**3 + 3*n**2 + n. Let t(d) = -2*d**3 + 7*d**2 + 2*d. Let q(a) = 7*l(a) - 3*t(a). Let k be -9*5/(-20) + (-2)/8. Give q(k). -6 Let h(x) = x**3 + 2*x**2 - 4*x + 2. Suppose 0 = 2*t - 3 - 5. Suppose 4*g = 6*g - t. What is h(g)? 10 Let p(w) = -w**3 + 3*w**2 + w. Let c be p(3). Let i(s) be the third derivative of 1/2*s**3 - 2*s**2 + 0*s + 0 - 1/8*s**4. What is i(c)? -6 Let p = -3 - -4. Let i be (-4 + 3)*(p - -1). Let a(k) = 5*k**2 + 4*k + 4. Let v(c) = 6*c**2 + 5*c + 5. Let o(g) = -4*a(g) + 3*v(g). Calculate o(i). -7 Let o(x) = x**2 - 5*x + 3. Let i be (11 - 14)*8/(-6). Determine o(i). -1 Suppose 5*i - 62 = -4*r, -3*r = -3*i - 0*r + 21. Let y be (-4 - -5)/(2/i). Let k(n) = n**2 - 2*n - 5. Calculate k(y). 10 Let s(p) = p**3 + 5*p**2 + 5*p - 2. Let j(m) = -m**2 - 10*m. Let g be j(-9). Let q be 12/g + (-1)/3. Let x be (-1 - (2 + 1))/q. Calculate s(x). -6 Let q = 63 - 66. Let c(h) = h**2 + 7*h + 2. Give c(q). -10 Let x(k) = -2*k**3 + 15*k**2 - 3*k + 10. Let a(f) = -f**3 + 7*f**2 - f + 5. Let r(z) = -9*a(z) + 4*x(z). Determine r(4). -1 Suppose -2*t + 5*t - 4*x - 9 = 0, 0 = 3*t + 3*x - 9. Let l(h) be the first derivative of -1/4*h**4 - 2 - 6*h + 4/3*h**t + 3*h**2. Calculate l(5). -1 Let z(f) = -f + 4. Suppose -4*j - c - 4 = 0, 0 = 4*c + 16. Suppose -5*a = -3*x + 7, a + j = 1. Determine z(x). 0 Suppose 0 = -5*w + 122 - 12. Suppose 5*i - 2*m = 2*i + w, -i - m - 1 = 0. Let f(u) = -u**3 + 4*u**2 + 3*u - 6. Determine f(i). 6 Let m(k) = k**2 + 5*k + 6. Let l be m(-5). Let d(x) = -10*x**3 + 3 + 3*x**3 + 5*x**2 + 6*x + 6*x**3. Determine d(l). 3 Let w(x) = -6*x**3 - 2*x**2 + 5*x - 1. Let k(u) = -u**3 - u**2 + u. Let o(p) = -5*k(p) + w(p). Calculate o(3). -1 Let o(p) = -7 + p - 1 + p**2 - 2. Let u be (52/(-2))/((-6)/(-3)). Let q = 13 + u. What is o(q)? -10 Let g be 2 + (0 - 3)/3. Let y = 1 + g. Let i(w) = 5*w**y - 4 - 3*w - w**3 - 2*w + 3. Give i(4). -5 Let k(s) = s**2 - s + 3. Let z be 5*(-4)/(-8) - (-4)/8. Determine k(z). 9 Let x(t) be the first derivative of 2*t**3/3 + 5*t**2/2 + 2*t + 3. Calculate x(-3). 5 Let f(i) = i**3 - i**2 - 3*i. Let b be f(2). Let q(u) be the second derivative of -u**4/12 - u**3/6 + u. What is q(b)? -2 Let w = 3 + 1. Let t(q) = 0 + w + 0*q + 3*q + 0. Determine t(-4). -8 Let c be 0/6 + (19 - 0). Suppose -g - 4*j + 8 = 0, -c = -4*g - 2*j - j. Let a(f) = f**2 - g*f + 0*f - 2 - 2. Determine a(4). -4 Let q(b) = -2*b**3 - b - 1. Let v be q(-1). Let x(k) = -k**2 + 2*k. Let p be x(v). Let j be p + 3/(-1) + 0. Let c(s) = 5*s + 3. Give c(j). -12 Let l(d) be the second derivative of 0 + 1/6*d**4 - d - 7/6*d**3 + 5/2*d**2. Let k be 1/2 + 7/2. Calculate l(k). 9 Let q(i) be the third derivative of i**5/60 - 17*i**4/24 + 2*i**3/3 + 3*i**2 + i. What is q(17)? 4 Suppose 5*c = 14 + 26. Let u = 6 - c. Let o(q) = -q**2 + 2. Give o(u). -2 Let d(o) = 14*o**2 - 1. Let z be d(1). Let g(x) = -5 + z*x + 4*x**2 - 17*x - 3*x**2. What is g(5)? 0 Let b = -6 - -10. Let j(q) = -q - 4. Let m be j(-5). Let y be m - b*3/6. Let a(z) = -9*z + 1. What is a(y)? 10 Let f(b) be the second derivative of b**4/24 + b**3/3 - b**2/2 - b. Let d(y) be the first derivative of f(y). Let r = 63 + -63. What is d(r)? 2 Suppose -5*z + 3 - 8 = 0. Let q(p) be the second derivative of -p**3/3 + p**2/2 - 4*p. Calculate q(z). 3 Let i(m) = 3*m**2 + 9*m + 4. Let a be i(-3). Let y(b) = b**2 - 6*b. What is y(a)? -8 Let v(y) = -y**2 - 4*y - 1. Let o(z) = z**2 + 1. Let l(c) = -4*o(c) - v(c). Give l(2). -7 Let s(f) = -f + 1. Let h(i) = 4*i - 10. Let z(q) = -h(q) - 3*s(q). What is z(6)? 1 Let c(d) = 2*d**2 + 8*d - 4. Let q(l) = 5*l**2 + 24*l
{ "pile_set_name": "DM Mathematics" }