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= -o**2 - 15*o - 56. Let d be g(-10). Let a be ((-5)/d)/((-9)/(-54)). Factor 13/8*i**3 - 3/2*i**2 - 3/4*i**4 + 0 + 1/2*i + 1/8*i**a. i*(i - 2)**2*(i - 1)**2/8 Suppose -2*w + 31 = 25. Factor -9*y - 4*y**2 + 0*y**5 + 2*y + w*y + 4*y**4 + 2*y**5 + 2*y. 2*y*(y - 1)*(y + 1)**3 Suppose 4*p - 6*p = -p. Factor -33*q**2 + 2*q - 6*q + 35*q**2 + p*q. 2*q*(q - 2) Let p(a) = -144*a**4 - 1005*a**3 - 828*a**2 + 303*a. Let r(t) = 34*t**4 + 232*t**3 + 191*t**2 - 70*t. Let z(f) = 7*p(f) + 30*r(f). Find q, given that z(q) = 0. -1, 0, 1/4, 7 Let z(h) be the second derivative of h**5/20 + 23*h**4/12 + 57*h**3/2 + 405*h**2/2 + 3*h - 20. Solve z(i) = 0. -9, -5 Suppose -5*l = 40*z - 36*z - 110, 4*l - 76 = -2*z. Factor -l*w**5 + 0*w + 0 - 8/7*w**2 - 64/7*w**3 - 22*w**4. -2*w**2*(w + 1)*(7*w + 2)**2/7 Let b(o) = 7*o**2 + 1598*o + 2045. Let q be b(-227). Solve -3/5*v**q + 12/5*v + 36/5 = 0 for v. -2, 6 Factor 2500/3 + 2300/3*k + 215*k**2 + 1/3*k**4 + 62/3*k**3. (k + 2)*(k + 5)**2*(k + 50)/3 Let a be (-11)/(44 + -33) - -2*(-5)/(-4). Determine g, given that -a - 3/2*g**2 - 1/4*g**3 - 11/4*g = 0. -3, -2, -1 Suppose 2*w = 3*z + 13, -z - 3 + 0 = 0. Suppose 0 = 30*h - w + 2. Let -5/3*p**4 + h - 5/3*p + 5/3*p**2 + 5/3*p**3 = 0. Calculate p. -1, 0, 1 Suppose -19682 + 73*f - 36*f**2 - 29727 + 171*f**2 + 3*f**3 + 188*f + 16610 = 0. What is f? -29, 13 Let m = 27826 - 27820. Let l(v) be the third derivative of -1/120*v**m + 0*v**4 + 13*v**2 + 0 + 2/3*v**3 - 1/20*v**5 + 0*v. Factor l(r). -(r - 1)*(r + 2)**2 Let m(s) = -s**5 + s**4 - s**3 + s**2 - s - 1. Let k(z) = 15*z**5 - 18*z**4 - 6*z**3 + 9*z**2 - 9*z - 9. Let f(r) = k(r) - 9*m(r). Factor f(y). 3*y**3*(y - 1)*(8*y - 1) Let m be 10/(-16)*(-4 - -1 - 5). Let v(a) be the second derivative of 19*a - 8/3*a**2 - 1/3*a**4 + 1/30*a**m + 0 + 4/3*a**3. Factor v(u). 2*(u - 2)**3/3 Factor 276/5*b - 2/5*b**2 - 544/5. -2*(b - 136)*(b - 2)/5 Let p(q) be the first derivative of 5*q**4/4 - 75*q**3 - 765*q**2 - 5865. Factor p(v). 5*v*(v - 51)*(v + 6) Suppose -400*v - 794/3*v**2 - 2/3*v**4 + 0 + 404/3*v**3 = 0. Calculate v. -1, 0, 3, 200 Let b(u) be the third derivative of -49*u**5/40 + 651*u**4/8 - 8649*u**3/4 - 875*u**2. Solve b(w) = 0 for w. 93/7 Let m(n) = 4*n**3 - 23*n**2 - 9*n - 202. Let t(u) = 3*u**3 + 23*u**2 - 7*u - 203. Let p(v) = -4*m(v) + 5*t(v). Factor p(r). -(r - 207)*(r - 1)*(r + 1) Let k(o) be the second derivative of o**4/3 - 44*o**3/3 - 137*o + 3. Solve k(p) = 0 for p. 0, 22 Let c(u) be the third derivative of 0*u + 6*u**2 + 4 + 1/36*u**4 - 1/180*u**5 - 1/360*u**6 + 0*u**3. Solve c(h) = 0. -2, 0, 1 Let l(b) be the first derivative of 5/4*b**4 - 63 + 60*b + 70/3*b**3 + 125/2*b**2. Suppose l(x) = 0. What is x? -12, -1 Let x = 536 - 533. Suppose 0 = -2*u - 5*q + 9, 14 - 7 = 5*u - x*q. Let 216/17*n - 36/17*n**u - 432/17 + 2/17*n**3 = 0. Calculate n. 6 Let m be 6/48 + (20619/24)/3. Let b = 287 - m. Solve 2*j**4 + 33/8*j**2 - 7/2*j + 7*j**3 + b = 0 for j. -2, 1/4 Let u(h) be the second derivative of h**6/960 - 11*h**5/320 + 9*h**4/32 - 7*h**3/2 + 2*h**2 + h + 111. Let y(k) be the second derivative of u(k). Factor y(x). 3*(x - 9)*(x - 2)/8 Let m(z) be the third derivative of -32*z**8/189 + 736*z**7/945 + 19*z**6/108 + z**5/90 - 1319*z**2. Suppose m(r) = 0. What is r? -1/16, 0, 3 Let t(v) be the first derivative of -v**6/3 + 22*v**5/5 - 12*v**4 - 8619. Factor t(p). -2*p**3*(p - 8)*(p - 3) Find j, given that -119*j + 141/2 - 1/2*j**4 + 26*j**2 + 23*j**3 = 0. -3, 1, 47 Let t(i) be the third derivative of i**5/80 + 31*i**4/8 + i**2 + 139*i. Suppose t(a) = 0. Calculate a. -124, 0 Let y be (13 + 105/(-15))*17/6. Suppose 5*p + d - y = -0*d, -3*p = -9*d + 9. Factor -3/2*j**3 + 0 - p*j + 9/2*j**2. -3*j*(j - 2)*(j - 1)/2 What is r in -2*r**4 + 304 + 92*r - 167*r**2 + 173/4*r**3 - 1/4*r**5 = 0? -19, -1, 4 Let v(d) be the first derivative of -4*d**3/3 - 4636*d**2 - 5373124*d + 3871. Factor v(x). -4*(x + 1159)**2 Let c be 456/14 - (-76)/(-133). Suppose c = -r + 9*r. Factor 0*z**4 + 6*z**4 - r*z**3 - 2*z - 6*z**2 + 6*z**3. 2*z*(z - 1)*(z + 1)*(3*z + 1) Let m(c) be the second derivative of -c**6/15 - 3*c**5/5 + 23*c**4/6 + 20*c**3 + 32*c**2 - 1960*c. Find g, given that m(g) = 0. -8, -1, 4 Let 2/5*x**4 + 76/5*x - 32/5 + 8/5*x**3 - 54/5*x**2 = 0. Calculate x. -8, 1, 2 Suppose 0 - 45/2*s - 3/4*s**4 + 33/4*s**2 + 3*s**3 = 0. Calculate s. -3, 0, 2, 5 Factor 406/9*v - 12*v**2 - 100/3 + 2/9*v**3. 2*(v - 50)*(v - 3)*(v - 1)/9 Let w(a) = 36*a - 96. Let f(n) = n**2 - n + 1. Suppose -2*i = 3*i - 10. Suppose -3*r - 3*d = 24, -i*r = d + 2*d + 20. Let q(p) = r*f(p) + w(p). Factor q(k). -4*(k - 5)**2 Let l be 4/12 + (239/75)/((-288)/30). Let p(d) be the third derivative of l*d**6 + 0 + 0*d - 7*d**2 + 1/60*d**5 + 5/144*d**4 + 0*d**3. Let p(y) = 0. What is y? -5, -1, 0 Let h be (5 - 6)*-1*(9 + 2). Suppose -20*v - 11 = -h. Factor 1/5*m**3 + v - 2/5*m - 1/5*m**2. m*(m - 2)*(m + 1)/5 Let y(s) be the first derivative of s**5/100 - 7*s**4/40 - 9*s**3/5 - 21*s**2/2 - 19. Let i(m) be the second derivative of y(m). Let i(j) = 0. What is j? -2, 9 Let n(j) be the second derivative of -j**6/300 + j**5/15 - 8*j**4/15 + 32*j**3/15 + 115*j**2 - 21*j - 3. Let t(d) be the first derivative of n(d). Factor t(s). -2*(s - 4)**2*(s - 2)/5 Suppose 5 = 4*m - 11. Suppose 0 = 4*v - 20, 0 = 2*l - m*v - v + 19. Factor 0*c**5 + 4*c**2 + 24 - 5*c**5 + 5*c**4 + 10*c**l - 19 - 14*c**2 - 5*c. -5*(c - 1)**3*(c + 1)**2 Let q(k) = 4*k**4 + 2*k**3 + k - 1. Let l(p) = 33*p**4 + p**3 - 54*p**2 + 4*p + 64. Let j(i) = -5*l(i) + 40*q(i). Factor j(f). -5*(f - 18)*(f - 1)*(f + 2)**2 Let z(l) be the third derivative of l**8/168 - 79*l**7/315 + 473*l**6/180 - 269*l**5/90 - 665*l**4/9 + 100*l**3 + 2256*l**2. Suppose z(q) = 0. Calculate q. -2, 1/3, 5, 18 Let o be ((-9)/(-54))/(22/(-99)*(-3)/8). Determine b, given that 3 - 3/4*b**3 + 3*b - 3/4*b**o = 0. -2, -1, 2 Let u(p) be the third derivative of -729*p**8/56 - 255069*p**7/35 - 56592*p**6/5 - 37708*p**5/5 - 25132*p**4/9 - 5584*p**3/9 - 8078*p**2. Factor u(a). -2*(a + 349)*(9*a + 2)**4/3 Suppose -62*r = 5*r - 18*r + 25*r. Factor -5/2*j**4 + r*j + 1/2*j**5 + 0 + 5/2*j**2 - 1/2*j**3. j**2*(j - 5)*(j - 1)*(j + 1)/2 Let x(k) be the third derivative of -7*k**6/30 + 2*k**5/15 + 14*k**4/3 - 16*k**3/3 + 6*k**2 + 189*k + 1. Factor x(q). -4*(q - 2)*(q + 2)*(7*q - 2) Factor 188 - 2/5*o**2 - 466/5*o. -2*(o - 2)*(o + 235)/5 Factor 0 + 2/7*p + 0*p**2 + 0*p**4 + 2/7*p**5 - 4/7*p**3. 2*p*(p - 1)**2*(p + 1)**2/7 Suppose -7*j + 2*j = -15. Suppose 6*c = 15 + j. Factor -c*s**5 + 15*s**2 - 9*s**3 - 6*s**5 - 2*s + 29*s**4 - 24*s**3. -s*(s - 1)**3*(9*s - 2) Let q(g) be the second derivative of 2*g**7/63 + 122*g**6/45 - g**5/5 - 185*g**4/9 - 244*g**3/9 + 4*g - 1453. Solve q(p) = 0 for p. -61, -1, 0, 2 Let w be (1*(-5)/(5 - 25))/(0 - -1). Let q(u) be the second derivative of 5/24*u**4 + 0 - 1/2*u**3 + 22*u + w*u**2. Factor q(l). (l - 1)*(5*l - 1)/2 Let y(n) be the first derivative of n**4/3 + 220*n**3/9 - 1175*n**2/6 + 500*n - 2179. Factor y(g). (g + 60)*(2*g - 5)**2/3 Let s = -458 - -466. Determine h, given that 54*h**4 - 118*h**4 - s*h**3 + 60*h**4 = 0. -2, 0 Let j(v) = v**3 - 29*v**2 - 294*v - 14. Let z be j(37). Let h be (-1)/(-4) - z/(-240). Let -1/2 + c - h*c**2 = 0. What is c? 1 Find n, given that 24/7 - 9/7*n**4 - 3*n**3 + 3*n**2 + 3/7*n**5 + 54/7*n = 0. -1, 2, 4 Let r = -270 - -279. Let o be ((-858)/90 + 9)/((-6)/r). Find d, given that -o*d - 1 + 1/5*d**2 = 0. -1, 5 Suppose -22 = -9*h + 23. Suppose f - 4*f - 15 = 0, -2*i + 25 = h*f. Suppose -49*k + 20 + i*k**2 - 5*k**3 + 3*k + 6*k = 0. Calculate k. 1, 2 Suppose -22*c + 23 + 65 = 0. Let b(i) be the first derivative of -3/2*i**c + 0*i**2 + 3/5*i**5 - 8 + 0*i + 0*i**3. Let b(h) = 0. Calculate h. 0, 2 Let x(h) be the first derivative of -1/180*h**5 - 1/9*h**3 + 0*h - 2 + 1/24*h**4 + 13/2*h**2. Let y(s) be the second derivative of x(s). Factor y(g). -(g - 2)*(g - 1)/3 Suppose 3*c = -r - 2 + 9, -r - 5 = 0. Determine n so that -2*n + 70 + 3*n**2 - 70 + 0*n**2 - n**c = 0. -2, 0, 1 Let p = -966699/7 - -138103. Factor 2/7*q**3 + 12/7*q**2 + p*q + 12/7. 2*(q + 1)*(q + 2)*(q + 3)/7 Factor 63*g**2 + 2573*g**3 - 1366*g**3 - 1210*g**3. -3*g**2*(g - 21) Let v(c) = 0*c + 2 + 3 - 8*c**2 + c + 13*c**2. Let z(a) be the first derivative of a**3/
{ "pile_set_name": "DM Mathematics" }
3 + 24*v**2 - 11*v. Find s, given that a(s) = 0. -4 Let o(j) be the first derivative of j**9/12096 + j**8/1680 + j**7/840 - j**3/3 + 5. Let x(k) be the third derivative of o(k). Find d, given that x(d) = 0. -2, 0 Determine w so that 64/7*w - 8/7 - 18*w**2 - 16/7*w**3 + 32/7*w**4 = 0. -2, 1/4, 2 Let p(m) = -7*m**3 - m**2 + 13*m + 4. Let h(u) = -15*u**3 - 3*u**2 + 25*u + 8. Let z be (10/(-2))/(-1)*-1. Let c(x) = z*p(x) + 3*h(x). Factor c(j). -2*(j - 1)*(j + 1)*(5*j + 2) Let r(g) = -2*g - g - 4 + 9 - 5*g**2 - 7*g**3. Let s(a) = -4*a + 1 - 9*a + 12*a. Let i(f) = -r(f) + 5*s(f). Factor i(d). d*(d + 1)*(7*d - 2) Let h(r) = 6*r - 23 + 11 - 4*r. Let l be h(7). Find v such that 2/3 + 2/3*v**l + 4/3*v = 0. -1 Determine x so that 2*x**2 - 6*x**2 + 3*x**2 - 5*x + 6*x + x**4 - x**3 = 0. -1, 0, 1 Let k = 4 - 119/30. Let b(v) be the second derivative of 3*v - k*v**4 - 2/5*v**2 + 1/5*v**3 + 0. Let b(x) = 0. Calculate x. 1, 2 Let f(v) be the third derivative of v**8/224 - v**7/630 - 3*v**6/80 - v**5/30 + v**4/36 - 31*v**2. Suppose f(y) = 0. What is y? -1, 0, 2/9, 2 Let h(t) = -3*t**2 - 12*t - 7. Let b(r) = r**2 + r - 1. Let m(l) = 2*b(l) + h(l). Factor m(w). -(w + 1)*(w + 9) Let g = 132 - 127. Find l such that -44/9*l**2 - 56/9*l + 2*l**g + 20/3*l**4 - 16/9 + 38/9*l**3 = 0. -2, -1, -2/3, 1 Let x(m) = -2*m**3 - 4*m**2 + 4*m. Let g(f) = f**2. Suppose 2 = -5*y + 2*y - 5*u, -3*u = -5*y + 8. Let l(q) = y*x(q) + 2*g(q). Factor l(t). -2*t*(t - 1)*(t + 2) Suppose 5*b - 22 = -3*n, -4*n - 2 = -4*b - 10. Let -4*t**5 - t**4 + 4*t**2 + 6*t**2 - 7*t**4 + 4*t**3 - 2*t**b = 0. Calculate t. -2, -1, 0, 1 Let x(i) be the second derivative of i**4/60 - i**3/15 - 3*i**2/10 - 15*i. Let x(w) = 0. What is w? -1, 3 Let n(a) be the second derivative of -a**8/1176 - 4*a**7/735 - a**6/105 - a**2 + 4*a. Let o(h) be the first derivative of n(h). Factor o(t). -2*t**3*(t + 2)**2/7 Factor -7*o + 4*o + 9*o - 3*o**2. -3*o*(o - 2) Let a(w) = 6*w**3 + 12*w**2 - 4*w - 14. Let g(n) = 19*n**3 + 36*n**2 - 12*n - 43. Let b(m) = -7*a(m) + 2*g(m). Factor b(j). -4*(j - 1)*(j + 1)*(j + 3) Factor 0 + 0*i + 3/5*i**4 + 48/5*i**2 - 24/5*i**3. 3*i**2*(i - 4)**2/5 Let r(c) = 4*c**3 - 2*c + 0*c**3 + 0*c**2 - 8*c**4 - 2*c + 2*c**2. Let d(z) = 7*z**4 - 4*z**3 - 2*z**2 + 4*z. Let s(x) = 6*d(x) + 5*r(x). Factor s(m). 2*m*(m - 2)*(m - 1)*(m + 1) Let n(m) be the first derivative of -m**7/1050 - m**6/300 - m**5/300 + 2*m**2 + 1. Let c(r) be the second derivative of n(r). Let c(b) = 0. Calculate b. -1, 0 Let f(d) be the first derivative of -d**6/3 + 4*d**5/5 - 4*d**3/3 + d**2 - 15. Let f(u) = 0. What is u? -1, 0, 1 Factor 15*z**3 + 27*z**4 + 4*z - 14*z**3 + 26*z**2 + 19*z**4 + 53*z**3 + 14*z**5. 2*z*(z + 1)**3*(7*z + 2) Let p be (4/(-18))/((-4)/6). Let v(l) be the first derivative of -1/2*l**2 - p*l**3 - 2 + l + 1/4*l**4. What is s in v(s) = 0? -1, 1 Let i(a) be the third derivative of 1/60*a**6 - a**2 - 1/3*a**3 + 1/4*a**4 - 1/10*a**5 + 0*a + 0. Determine d, given that i(d) = 0. 1 Let t(m) = 3*m**5 + 3*m**4 + 2*m**3 - 3*m**2 - 5. Let h(v) = -2*v**5 - 2*v**4 - v**3 + 2*v**2 + 3. Let o(g) = 10*h(g) + 6*t(g). Factor o(b). -2*b**2*(b - 1)*(b + 1)**2 Let g(l) = -2*l - 15. Let x be g(-10). Let v(s) be the second derivative of 0 - 1/20*s**x + 1/6*s**3 + 0*s**2 + 3*s + 0*s**4. Factor v(y). -y*(y - 1)*(y + 1) Let o(y) = -y**3 - 3*y**2 - 18*y + 18. Let a(q) = -9*q**3 - 26*q**2 - 145*q + 143. Let p(u) = 6*a(u) - 51*o(u). Factor p(i). -3*(i - 2)**2*(i + 5) Solve -4*c + 8 + 1/2*c**2 = 0. 4 Let t(d) be the second derivative of d**5/210 + d**4/84 - 5*d**2/2 + d. Let m(n) be the first derivative of t(n). Factor m(b). 2*b*(b + 1)/7 Suppose 3*l - 5*g - 29 = 0, -2*l = l + 4*g + 7. Let w be 4 - (24/l)/4. Let -1/3*v + 0 + 1/3*v**3 + 4/3*v**4 - 4/3*v**w = 0. Calculate v. -1, -1/4, 0, 1 Let u = 79/345 + -2/69. Let m = -11 - -15. Factor 0 - 1/5*b + u*b**2 - 1/5*b**m + 1/5*b**3. -b*(b - 1)**2*(b + 1)/5 Let i(f) be the second derivative of 1/5*f**2 - 1/30*f**4 + 1/50*f**5 + f + 0 - 1/15*f**3. Let i(n) = 0. Calculate n. -1, 1 Let u(w) = w**5 - w**4 - w**3 - w**2 - w. Suppose 5*s = -5 + 20. Let m(t) = -7*t**5 + 10*t**4 + t**3 + 2*t. Let d(g) = s*m(g) + 6*u(g). What is o in d(o) = 0? -2/5, 0, 1 Let w(v) = -5. Let c(b) = -1. Let h(l) = -9*c(l) + 2*w(l). Let x(d) = -d**2 + 3. Let t(g) = 2*h(g) + x(g). Factor t(z). -(z - 1)*(z + 1) Suppose -2*f + 3 - 1 = -4*j, j = 2*f - 5. Let v be (-2 - 0 - 0) + 7. What is o in o**f - v*o + 5*o - 2*o**4 + o**5 = 0? 0, 1 Solve -2/3*b**2 + 16/3 + 4/3*b = 0. -2, 4 Let p(u) be the first derivative of 8*u**6/9 - 8*u**5/5 + 3*u**4/4 - u**3/9 - 10. Determine s so that p(s) = 0. 0, 1/4, 1 Let v(o) be the second derivative of -o**6/40 + o**5/10 + o**4/8 - o**3 - 3*o**2 - 6*o. Let d(p) be the first derivative of v(p). What is t in d(t) = 0? -1, 1, 2 Let o(x) = x**3 - 6*x**2 + 11*x - 10. Let i be o(4). Factor i + 2/3*m**2 - 8/3*m. 2*(m - 3)*(m - 1)/3 Let i = 17/15 - 4/5. Let t(n) be the first derivative of 1 + i*n**2 + 0*n + 2/9*n**3. Factor t(f). 2*f*(f + 1)/3 Let q(s) be the second derivative of s**6/105 - s**4/42 + 3*s. Suppose q(h) = 0. Calculate h. -1, 0, 1 Determine m so that -1/4*m**3 + 0*m + 0 + 1/4*m**2 = 0. 0, 1 Let z be 3 - 3 - (0 - 10). Let c(b) = b - 10. Let p be c(z). Solve 0*x + p + 0*x**2 + 1/2*x**3 + 1/2*x**4 = 0. -1, 0 Let l(h) = h**2 - 24*h - 31. Let y(i) = -8*i - 10. Let t(u) = -2*l(u) + 7*y(u). Factor t(w). -2*(w + 2)**2 Let w(h) = h + 5. Let k be w(-7). Let p be -2 + 4/5 - k. What is v in 2/5*v - p*v**4 + 2*v**3 + 0 - 8/5*v**2 = 0? 0, 1/2, 1 Let i(y) be the third derivative of y**8/112 - y**7/35 + y**5/10 - y**4/8 - 16*y**2. Factor i(a). 3*a*(a - 1)**3*(a + 1) Let f be (-36)/8 - (-2)/4. Let u be (2/f)/(-4 - -2). Factor 0 + 1/2*i**4 + 0*i + 1/4*i**3 + 0*i**2 + u*i**5. i**3*(i + 1)**2/4 Suppose 4 = 5*r - 6. Let -3*u - 3*u**r + 2*u + 3*u**2 + u**2 = 0. Calculate u. 0, 1 Suppose 5*k - 24 = 36. Factor t + 0*t - 2*t**4 + 11*t - t**4 + 12 - 9*t**2 - k*t**3. -3*(t - 1)*(t + 1)*(t + 2)**2 Let s(t) = -5*t**5 + t**4 + 3*t - 3. Let l(y) = -6*y**5 + 2*y**4 + 4*y - 4. Let v be -2 + 0 - (0 - -1). Let q(u) = v*l(u) + 4*s(u). Factor q(i). -2*i**4*(i + 1) Let k(u) = 0 + 1 + 0 + u + 0*u. Let w be k(2). Factor 0 - 2/3*b**4 + 0*b**w + 2/3*b**2 + 0*b. -2*b**2*(b - 1)*(b + 1)/3 Suppose -1/2 + 0*t**2 - 3/4*t**5 + 5/2*t**4 - 5/2*t**3 + 5/4*t = 0. What is t? -2/3, 1 Let v = -4 + 14. Let c = v + -7. Suppose 0*y + 0 - 2/9*y**2 - 2/9*y**c = 0. What is y? -1, 0 Let m(r) be the third derivative of r**7/210 + r**6/40 - r**4/6 - 14*r**2. Determine g so that m(g) = 0. -2, 0, 1 Let f(h) be the second derivative of -h**5/4 + 5*h**4/12 + 15*h**3/2 - 45*h**2/2 - 7*h + 6. Factor f(p). -5*(p - 3)*(p - 1)*(p + 3) Suppose -2*n - d - 1 = 4, 10 = 5*n - 2*d. Let i be (-272)/(-102) + (-1)/(-3). Factor -1/4*g - 1/4*g**i + n + 1/2*g**2. -g*(g - 1)**2/4 Let s(a) be the first derivative of -a**6/40 - a**5/20 + a**4/8 + a**3/2 - 2*a**2 + 4. Let g(l) be the second derivative of s(l). Find n, given that g(n) = 0. -1, 1 Let p(u) be the second derivative of u**5/45 + u**4/9 + 4*u**3/27 + 21*u. Suppose p(f) = 0. Calculate f. -2, -1, 0 Let r = 458 + -867/2. Suppose -4*g = -68 - 84. Find q such that -4 + r*q**3 + g*q - 105*q**2 + 343/2*q**4 = 0. -1, 2/7 Let v(p) = 2*p**2 + 2*p - 18. Let d(a) = -10*a**2 - 10*a + 92. Let s(u) = -3*d(u) - 16*v(u). Factor s(y). -2*(y - 2)*(y + 3) Let m(i) = i. Let h be m(3). Let f be -3 - (1 - (5 - -2)). Factor -f*q**3 - q**h + 5*q**3. q**3 Let r = -595/4 + 149. Factor -r*i**3 - 1/4*i**2 + 0*i + 0. -i**2*(i + 1)/4 Let i(j) be the second derivative of 1/147*j**7 + 0*j**2 + 0 + 1/105*j**6 + j - 3/70*j**5 - 5/42*j**4 - 2/21*j**3. Determine t so that i(t) = 0. -1, 0, 2 Let i(y) be the first derivative of -y**3/9 - y**2/2 - 11. Suppose i(f) = 0. What is f? -3, 0 Factor 2*o + 5*o + 5 - 13 + o - 2*o**2. -2*(o - 2)**2 Let k(r) = 9*r**5 - 2*r**3 + 2*r. Let w(s) = 72*s**5 + s**4 - 17*s**3 + 17*s. Let u(c) = -51*k(c) + 6*w(c). Suppose u(y) = 0. What is y? 0, 2/9 Let b(u) = -14*u**5 - 20*u**4 - 23*u**3 + 17*u**2 + 17*u. Let n(x) = -5*x**5 - 7*x**4 - 8*x**3 + 6*x**2 + 6*x. Let w(o) = 6*b(o) - 17*n(o). Factor w(y). y**3*(y - 2)*(y + 1) Factor -3*x**3 - 19*x**2 + 17*x**2 - 5*x**4 - 4*x**3 + 0*x**3. -x**2*(x + 1)*(5*x + 2) Let x(h) = h**3 + h*
{ "pile_set_name": "DM Mathematics" }
he hundreds digit of 260433? 4 What is the ten thousands digit of 114713? 1 What is the hundreds digit of 592622? 6 What is the tens digit of 441387? 8 What is the units digit of 1332020? 0 What is the ten millions digit of 10841133? 1 What is the thousands digit of 2584440? 4 What is the millions digit of 3432796? 3 What is the tens digit of 499836? 3 What is the thousands digit of 558686? 8 What is the hundred thousands digit of 241097? 2 What is the hundred thousands digit of 4646286? 6 What is the units digit of 739226? 6 What is the ten thousands digit of 26009? 2 What is the units digit of 387899? 9 What is the units digit of 1157102? 2 What is the tens digit of 13357810? 1 What is the ten thousands digit of 191425? 9 What is the tens digit of 56107? 0 What is the hundred thousands digit of 16444284? 4 What is the hundred thousands digit of 8980747? 9 What is the units digit of 8749405? 5 What is the ten thousands digit of 55837? 5 What is the thousands digit of 5109425? 9 What is the hundreds digit of 9683061? 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{ "pile_set_name": "DM Mathematics" }
c) -2/17 c Let p be 15 + 144/(-18) - 65/9. What is the nearest to -1 in p, 3, 2/17, 0.3? p Let f = -0.125 - 0.275. Let m = -0.0449 - -7.1049. Let u = m + -7. Which is the closest to u? (a) 1 (b) f (c) 0.2 c Suppose 3*l = 24 - 12. Suppose -l*c + 6 = b - 10, -3*b + 3*c - 12 = 0. What is the closest to 0 in 7, b, 2? b Let d = 30 + -34. Let m be -3*3/(-36) - 9/(-12). Which is the closest to 2/3? (a) d (b) m (c) 0.06 b Suppose -5*q = 2*r + 33, r = -3*q - 11 - 9. Let z be 3/((-42)/(-12)*3/q). Which is the closest to z? (a) 1/8 (b) 0.1 (c) 0 c Let r be 2/8 - (-11 + (-154)/(-14)). What is the closest to r in 3, -0.3, 309? -0.3 Let s(a) = 3*a**2 - 2*a + 4*a + a**3 + 2 + 5*a - 4*a. Let g be s(-2). What is the nearest to 0.1 in g, -4, 4? g Let g be (-3*14/63)/((-1)/(-12)). Let l be (-3)/(-36)*-4*18/g. What is the nearest to 0.2 in 0, -4/9, l? 0 Let p = 0.02 + 0.28. Let i = p + -0.4. Let u = 0.393 + -0.293. What is the nearest to u in -5, -0.6, i? i Let y = 2525/3 - 834. Let q = y - 8. What is the closest to 2/7 in q, -3, 5? q Let l = -0.2 + 0.3. Let v be (-3 - 1) + 24/3. Suppose -k = a + 4, -a - v = 2*k - 0. What is the closest to 2/5 in -1/8, k, l? l Let z = 2.123 - 1.123. What is the nearest to -0.1 in 0, -19, z? 0 Let w = 26.62 + -26.72. What is the nearest to w in -0.3, -3/8, -35? -0.3 Let g = -144/299 + -135635/2093. Let h = g - -65. Suppose 0 = 5*q + 4*w + 401 - 402, 4*q + 3*w = 1. Which is the closest to h? (a) 0.4 (b) 2/3 (c) q a Suppose 8*u + 8 + 8 = 0. Let f be 20/(-5) - 7/u. Which is the nearest to 1? (a) -6 (b) 4 (c) f c Let m(k) = k - 6. Let j = -13 + 18. Let q be m(j). Let d = 6894 + -6894.5. What is the closest to q in -2, d, 4? d Let w = 18.7 + -18.8. Which is the closest to 2/3? (a) w (b) -4 (c) -2/15 a Let s = 4.45 + -4.05. Let v(q) = -q**3 + 4*q**2 + q + 1. Let m be v(4). Which is the nearest to s? (a) 0 (b) -2/3 (c) m a Let o = 640.3 - 640. Let k = 11 + -8. What is the nearest to -1/2 in 2/35, o, k? 2/35 Suppose -5*q + 2*i - 5 = 0, q + 2 = -q - i. What is the closest to 0.48 in 2, -5, q? q Let k = 55 + -55.58. Let j = -2.42 + k. Which is the nearest to -2? (a) 0 (b) j (c) -7 b Let r = -251.3 + 251.5. Which is the closest to 3/5? (a) 7 (b) 5 (c) r (d) 1/2 d Let k be ((-40)/(-32) - 2)/(1*3). Let m be 10/4 + -8 + 7. Which is the nearest to k? (a) m (b) 0.5 (c) 3 b Let t = -5.9 - -6. Let l = 5.1 - 5.4. Which is the nearest to t? (a) l (b) 0.2 (c) -2/3 b Let d be (-2)/7 + 45/84. Let m = -175.973 + 175. Let r = 0.027 - m. What is the nearest to 1 in d, 3, r? r Let g be (2 + 3/(-4))*128/320. What is the nearest to 1 in g, 8, -1/3? g Let z = -283 - -289. Which is the closest to 2/3? (a) 4 (b) -0.6 (c) z b Let x be (-20)/(-54)*3/5. Suppose 2*h - 10 = -3*h. Suppose 0 = -h*u - 0*u. Which is the nearest to 0? (a) 3 (b) x (c) u c Let p(t) = -t**2 - 5*t - 4. Let s be p(-4). Let f = 367 - 366.955. Which is the closest to s? (a) -2 (b) -5 (c) f c Let y be (-3 - 2) + (1 - 1). Suppose f + 1 = -0. Let x = -94 + 96. Which is the closest to x? (a) -4 (b) f (c) y b Let m be 1 + 0 - 1 - 0. Let k be -3 - 1 - (-8)/(-8)*-19. Let z be k/18*(-4)/10. Which is the closest to m? (a) z (b) 0.1 (c) 0 c Let g = -266.2 - -291. Let h = g - 25. Let b be 2/2 + -2*3. What is the closest to -8 in b, h, 1? b Let q be ((-1)/2)/(441/252). What is the closest to 2/5 in -0.09, 2/11, 3, q? 2/11 Let l = -49/160 - 3/32. Which is the closest to 1/2? (a) l (b) 1 (c) -4 (d) 10 b Let x = 0.15 - 0.05. Let p = 12.7 + -13.7. Which is the closest to p? (a) x (b) -4 (c) -0.4 c Let r be ((-5)/4)/((-1)/(-4)). Let s be 630/80 + (-17 - -9). What is the closest to 3/4 in r, s, 3/7? 3/7 Let n = 0.01 - -0.09. Let f = 1 + 0. Let l = -3 - -1. Which is the nearest to n? (a) l (b) 0 (c) f b Let s = -17 - -19. Let c be 3 + (-8)/5 - s. Let t = 0.2 - 0.7. What is the closest to 0 in 2/7, c, t? 2/7 Let c = 1/605 - 20573/1815. Let t = c + 56/5. What is the closest to -18 in 2, -2/11, t? -2/11 Let t = 0.068 + -64.568. Let v = t - -64. What is the nearest to -2/7 in 4, -2/9, v? -2/9 Let y = -1.941 + -0.059. Let m = -0.1 - 0. Which is the nearest to 2/9? (a) -1/6 (b) y (c) m c Suppose o - 5*u = 19, 5*u - u + 20 = -4*o. Which is the closest to o? (a) 5 (b) -1 (c) -3 b Let o = -0.45 - -0.05. Let u = -1118 - -1123. Which is the nearest to -3? (a) o (b) u (c) 2 a Let q be ((-3)/(-4)*1)/(-3). Let u = 1.2 + 19.8. Let h = u - 22. Which is the nearest to h? (a) q (b) 2 (c) 1/2 a Let g = -2632 + 2632.1. Let n = 2.5 - 0.5. What is the closest to g in n, -3/2, -5? -3/2 Let j = -1/2856 - -5737/71400. Which is the closest to -5/8? (a) 0 (b) j (c) 1/7 a Let o = 108 - 971/9. Let r = 4386 - 4389. Which is the closest to -2/13? (a) o (b) r (c) 5 a Let p be (-12)/9*4/(8/45). Let j = 28 + p. Let f be (4/2)/2 - 3. Which is the closest to j? (a) f (b) 4 (c) -0.1 a Let o = -0.4 - -0.4. Let z be ((-10)/6)/(-2*(-3)/(-18)). Which is the closest to o? (a) -2 (b) z (c) 0.3 c Let i = -1.25 + -15.75. Which is the closest to 0.1? (a) i (b) 0 (c) -4 b Let n = -174.94 + 175. Which is the nearest to 0.1? (a) 2 (b) n (c) -5 b Let f = 0.03 - 1.03. Suppose 4*r + 10 = 22. Which is the closest to 2? (a) r (b) 2 (c) f b Let j = 138.17 - 150.2. Let p = 0.03 + j. Let r = 7 + p. Which is the closest to 0? (a) r (b) 3 (c) -0.5 c Let q = -19.006 + 19. Let x = 9.094 - q. Let w = -9 + x. Which is the closest to 0? (a) 0.3 (b) w (c) -0.5 b Let l = 1.97 - -0.03. Let u be ((-38)/(-180))/((-1)/(-3)). Let g = u + -3/10. Which is the closest to l? (a) -0.1 (b) -2 (c) g c Suppose z = -7*z + 816. Let m = 102 - z. What is the closest to m in -0.4, 8, 0? 0 Let l = -834 + 838. Let f = 4 + -2. What is the nearest to 1/3 in f, l, -2? f Let p = 187 + -184. Let o = -0.37 - 0.03. Which is the nearest to -1? (a) -6 (b) o (c) p b Let a = -910.8 - -910. What is the closest to -1 in -3, a, 0.2, 3/5? a Let j be 142/2*(-38)/(-14). Suppose 0 = 8*p + 132 + 1412. Let l = j + p. What is the nearest to 0 in l, -9, -4? l Let p be (-2)/((-260)/6) + 70/455. Let y = 2.2 + -0.2. Which is the closest to p? (a) y (b) 0.1 (c) -2 b Let j be ((-6)/15)/(32/20). Let z = -2272/7 - -324. What is the closest to -6 in 3, z, j? z Let d be (0 - -2)/((-14)/(-21)). Let j be 68/153*(-2)/4. Which is the closest to -0.1? (a) d (b) j (c) 0 c Let i = -3.36 - -3.46. Let h = 1.2 - 0.2. What is the nearest to i in -0.04, h, -0.1? -0.04 Let s be (-64)/(-36) + (-8)/(-36) + -5. Which is the closest to -2/5? (a) 0 (b) 5/4 (c) s (d) -5 a Let k = -0.5 + 6.1. Let g = -3.6 + k. Suppose -2*b - 22 = -5*p - 3*b, -4*p + 6 = -5*b. What is the nearest to 0 in p, g, -3? g Let c = 16.77 + 14.23. What is the nearest to 0.1 in 1/8, c, -1/4, -1? 1/8 Let k = -3.95 - 0.05. Let n = 88.1 + -88. What is the closest to -1/2 in -2/17, n, k? -2/17 Let o = 8183/3 - 56288/21. Let l = o + -47. Which is the closest to 11? (a) -3 (b) -4 (c) l c Let w = -11 - -25. Suppose 0 = 7*j - 21 - w. Which is the nearest to -1/2? (a) 2 (b) j (c) 1/9 c Let q(d) = -d**2 + 3*d - 1. Let u = -9 - -12. Let m be q(u). Let b(o) = -o - 3. Let a be b(-6). What is the closest to a in -1/8, m, -0.5? -1/8 Let q be ((-5 - -5) + 2)*(-14)/(-238). What is the closest to 1 in q, 3, 0.18? 0.18 Let m be (-72)/16*2/3. What is the closest to -1 in 2, 0.1, m? 0.1 Let y = 190 - 187. Suppose -5*v = 2*m + 10, -5*m + 2 = -2*m - v. What is the nearest to m in 3/5, 1/2, y? 1/2 Let j = -19.83 + 22.43. Suppose -52 = -5*v + 58. Let q be (-3)/(-9) + v/6. Which is the nearest to -0.1? (a) q (b) j (c) 2 c Let b = -1 - -1.5. Let t = 2 + -3.23. Let m = 0.23 + t. What is the closest to 0.1 in m, -4, b? b Let r be (-2 - -1) + 3*23/63. Let t = 29.073 + -0.073. Let o = -31 + t. What is the nearest to -0.2 in o, 3, r? r Let l = -137 - -136.8. Let r = 0.03 + -2.03. Which is the nearest to 2? (a) -4 (b) l (c) r b Let u be (4/10)/(-1)*15. Let o be 2/(-2) + (-8)/u. Let i = -65.67 + 65.97. What is the closest to 2/5 in i, o, 2? o Suppose -s + 2 = -q, 0 = 12*s - 15*s - q + 10. Let r = -0.1 + 0.1. Which is the closest to -1? (a) -3 (b) r (c) s b Suppose -d = -4*j - 5, 2*d + 3*j + 2 = -10. Let x be ((-3)/(-5))/(((-42)/10)/d). Which is the closest to 0? (a) 0.1 (b) -9
{ "pile_set_name": "DM Mathematics" }
uppose -6*a**q + 16/7*a**3 + 22/7*a**2 + 0 + 4/7*a = 0. Calculate a. -1/3, -2/7, 0, 1 Solve -167*d**3 - 1342*d - 2014/3 - 5027/6*d**2 + 1/6*d**4 = 0 for d. -2, -1, 1007 Let n(z) be the third derivative of -8/3*z**3 - 11*z**2 + 0*z**4 + 0*z + 1/15*z**5 - 2. Factor n(w). 4*(w - 2)*(w + 2) Let p = -7917 + 7917. Let b(x) be the third derivative of p*x**4 + 1/60*x**5 - 1/840*x**7 + 0*x**3 + 0*x + 13*x**2 + 0 + 0*x**6. Determine d so that b(d) = 0. -2, 0, 2 Let h(a) = 1189*a + 2383. Let g be h(-2). Suppose 7/4*i**2 + 1/2*i - 7/4*i**4 + 0 + 1/4*i**3 - 3/4*i**g = 0. Calculate i. -2, -1, -1/3, 0, 1 Let m(k) be the third derivative of -k**7/210 + 107*k**6/60 - 1221*k**5/5 + 34225*k**4/3 + 1620896*k**3/3 + 8174*k**2. Factor m(u). -(u - 74)**3*(u + 8) Let b(n) be the third derivative of n**5/80 - 3*n**4/4 + 105*n**2 - 5*n. Find w, given that b(w) = 0. 0, 24 Let c(w) be the first derivative of -62 + 4*w**2 + 38/9*w**3 + 1/36*w**6 + 0*w + 11/30*w**5 + 11/6*w**4. Factor c(t). t*(t + 2)**2*(t + 3)*(t + 4)/6 Let t(s) be the first derivative of s**4/2 - s**3/3 + s**2/2 + s + 24. Let u be t(1). Solve -u*z + 3*z**3 + 0*z**2 - 3/2 + 3/2*z**4 = 0. -1, 1 Let c(d) be the second derivative of 3*d**5/20 + 49*d**4/4 + 113*d**3 + 396*d**2 + 11*d - 2. Factor c(l). 3*(l + 2)*(l + 3)*(l + 44) Let z be (24541/6402)/(4/16*23). Factor 0 - z*s**2 - 16/3*s. -2*s*(s + 8)/3 Let j = -374 - -379. Let -108*c**2 + 108*c**4 - 1 + 1 - 104*c - 454*c**5 + 100*c**3 + 458*c**j = 0. What is c? -26, -1, 0, 1 Let i(b) be the first derivative of -5*b**7/42 - b**6/2 + 5*b**4/3 + 196*b - 19. Let k(f) be the first derivative of i(f). Factor k(s). -5*s**2*(s - 1)*(s + 2)**2 Find g such that -2/11*g**5 - 8/11*g**2 + 4/11*g**4 + 4/11*g**3 + 4/11 - 2/11*g = 0. -1, 1, 2 Let b(v) be the second derivative of -3*v**5/20 - 247*v**4/4 - 488*v**3 - 1458*v**2 + 2373*v. Factor b(q). -3*(q + 2)**2*(q + 243) Let z = 15/22 + -91/198. Let q = 3786 - 11356/3. Factor 4/9 + q*p + z*p**2. 2*(p + 1)*(p + 2)/9 Let k(c) = c**3 + 9*c**2 + 4*c. Let x be k(-7). Factor -17*a - 68*a**2 + x*a**2 - 13*a. 2*a*(a - 15) Let j(x) be the third derivative of 51*x + 0 + 2*x**2 + 11/12*x**4 - 1/60*x**5 + 0*x**3. Suppose j(d) = 0. What is d? 0, 22 Let t be 2/((-582)/9)*144/(-540). Let o = t - -457/3395. Let -o*j**2 - 1/7*j**3 + 4/7*j + 4/7 = 0. What is j? -2, -1, 2 Factor 180 - 420*q - 5*q**2 - 421*q + 1267*q - 426*q. -5*(q - 6)*(q + 6) Let v be (3/(-9) + 14/18)*2184/728. Find i such that v*i**2 - 124/3*i - 128/3 = 0. -1, 32 Suppose 5*q - 69 = 4*y, -105 + 167 = 5*q + 3*y. Let k be q - 7*(-6)/(-14). Determine g so that -32*g**2 - 2/3 - k*g + 128/3*g**3 = 0. -1/8, 1 Let v = 874/1417 - 2079/5668. Factor -2025/4 - v*n**2 + 45/2*n. -(n - 45)**2/4 Let i(m) = 78*m**2 + 4*m - 34. Let r be i(-15). Factor 6*c**2 + r - 17456 + c**3 + 7*c + 2*c**2. c*(c + 1)*(c + 7) Let n = -275/326 + 382/163. Factor -n*y**2 + 0 - 51/2*y. -3*y*(y + 17)/2 Factor 162/5*m**4 - 592/5*m**2 + 21824/5*m - 1584/5*m**3 + 30752/5. 2*(m + 2)**2*(9*m - 62)**2/5 Factor 19/2*m - 24 - 1/2*m**2. -(m - 16)*(m - 3)/2 Let g be ((-1204)/2709)/(5/(-27)). Let 2/5 + g*i**2 + 2/5*i**4 - 8/5*i**3 - 8/5*i = 0. Calculate i. 1 Suppose 860*m - 850*m - 30 = 0. Suppose w = -m*p + 5, 14*p - 4*w + 2 = 17*p. Factor 2/13*c**4 + 20/13*c + 6/13 + 12/13*c**3 + 24/13*c**p. 2*(c + 1)**3*(c + 3)/13 Let d(u) be the third derivative of -5/32*u**4 - 25/12*u**3 + 0 + 4*u - u**2 + 1/48*u**5. Suppose d(h) = 0. Calculate h. -2, 5 Let d(c) be the third derivative of 5/8*c**5 + c**3 + 1/20*c**7 + 19/80*c**6 + c**4 - 1 + 1/224*c**8 + 0*c + 12*c**2. Factor d(s). 3*(s + 1)**3*(s + 2)**2/2 What is x in 506*x**3 + 0 + 1/3*x**5 - 1292/3*x**2 - 77/3*x**4 - 2888/3*x = 0? -1, 0, 2, 38 Let i be 17 + 3*(-90)/15 - 7/(-5). Let h(q) be the second derivative of -14/15*q**4 - 23*q + i*q**2 - 1/15*q**3 + 0. Solve h(z) = 0 for z. -2/7, 1/4 Let n(c) be the first derivative of -1/60*c**4 - 21*c - 7/10*c**2 - 4/15*c**3 - 13. Let z(q) be the first derivative of n(q). Factor z(r). -(r + 1)*(r + 7)/5 Let u(n) be the third derivative of n**6/200 + 3*n**5/100 - 3*n**4/20 - 4*n**3/5 + 4740*n**2. Factor u(o). 3*(o - 2)*(o + 1)*(o + 4)/5 Factor 21*h**2 + 38 + 5*h**4 - 35*h**3 + 29*h**2 + 41 - 79. 5*h**2*(h - 5)*(h - 2) Let n be (-1 - (-1)/(-1)) + (-58528)/177. Let y = n - -334. Factor -1/3*u**2 + 1/3*u**5 - y + 1/3*u**4 + 8/3*u - 5/3*u**3. (u - 1)**3*(u + 2)**2/3 Let q(a) be the first derivative of -3*a**5/5 - 231*a**4/4 - 1360*a**3 + 7200*a**2 - 672. Find d such that q(d) = 0. -40, 0, 3 Let a(n) be the second derivative of -13*n**6/35 + 19*n**5/70 + 11*n**4/3 - 76*n**3/21 + 8*n**2/7 + 6072*n. Let a(g) = 0. What is g? -2, 2/13, 1/3, 2 Let d(a) be the third derivative of -a**8/840 + 53*a**7/525 - 182*a**6/75 + 338*a**5/75 - 12*a**2 - 37. Suppose d(i) = 0. Calculate i. 0, 1, 26 Let l(y) be the third derivative of -4/5*y**3 + 0 + 0*y - 3/100*y**5 - 78*y**2 - 17/60*y**4 + 1/600*y**6. Find v, given that l(v) = 0. -2, -1, 12 Let y(t) be the third derivative of t**5/60 + 15*t**4/8 + 43*t**3/3 - 2*t**2 - 173*t. Suppose y(c) = 0. What is c? -43, -2 Let 164/3*c**3 - 402*c**2 + 592/3*c + 440/3 + 10/3*c**4 = 0. What is c? -22, -2/5, 1, 5 Let a = 4 + 0. Solve -42178 + 4*o + 8*o + 0*o**2 + 2*o**2 - o**4 + 42169 - a*o**3 = 0. -3, 1 Suppose -6376 = -4*r + 4*d, 2 - 3 = -d. Let a = -1592 + r. Factor 1/2 - 7/2*n + 17/2*n**4 - n**a + 9/2*n**5 - 9*n**2. (n - 1)*(n + 1)**3*(9*n - 1)/2 Factor -2*c**2 - 20/7 - 74/7*c. -2*(c + 5)*(7*c + 2)/7 Let g = 29550 - 383960/13. Let k = 1559/104 - g. Factor 3/4*y**3 - 3/4*y - 3/8*y**2 + k*y**4 + 0. 3*y*(y - 1)*(y + 1)*(y + 2)/8 Suppose -j - 4*f = 6, -8*j + 2*f - 12 = -10*j. Let d(l) = 46*l - 460. Let k be d(j). Determine r, given that k*r + 0 + 2/9*r**3 + 0*r**2 = 0. 0 Suppose -18*s + 2*z = -22*s + 12, -s + 2*z + 8 = 0. Let b(o) be the first derivative of 1/3*o**3 + 21 + s*o + 2*o**2. Factor b(p). (p + 2)**2 Suppose 37 = d - 75. Let p be 7*(-3)/(-2)*d/588. Factor -3/2 - 4*b**2 + p*b**3 - 11/2*b. (b - 3)*(2*b + 1)**2/2 Factor 44 + 2/7*a**2 - 158/7*a. 2*(a - 77)*(a - 2)/7 Let u(r) be the third derivative of -5*r**8/2352 - r**7/210 + 17*r**6/280 - 17*r**5/420 - 23*r**4/84 + 4*r**3/7 + 4472*r**2. Find j such that u(j) = 0. -4, -1, 3/5, 1, 2 Let p = -164731 + 164735. Factor -1/4*l**3 + 0 + 1/4*l + 1/8*l**p - 1/8*l**2. l*(l - 2)*(l - 1)*(l + 1)/8 Suppose 3*u**4 - 71312*u**3 + 21*u**2 - 4*u**4 + 71314*u**3 - 40 - 22*u + 0*u**2 = 0. What is u? -4, -1, 2, 5 Let n(y) be the third derivative of y**5/450 - 5*y**4/18 + y**2 + 239*y. Factor n(t). 2*t*(t - 50)/15 Let w(h) be the first derivative of -2*h**3/7 + 75*h**2/7 + 300*h + 3489. Factor w(f). -6*(f - 35)*(f + 10)/7 Let z be -75 + 2124/60 - -40. Factor -8/5*u + z*u**2 + 8/5. 2*(u - 2)**2/5 Let s(x) be the first derivative of -1458*x**5/55 + 1944*x**4/11 - 828*x**3/11 + 136*x**2/11 - 10*x/11 + 970. Determine t so that s(t) = 0. 1/9, 5 Let i(r) = -2*r**2 + 15*r. Let s be 1/(-3) - ((-665)/3)/5. Let n(t) = 14*t**2 - 104*t. Let x(v) = s*i(v) + 6*n(v). Factor x(z). -4*z*(z - 9) Suppose -2*t = -3*y + 9, -5*t - 39 = 17*y - 19*y. Let x be 6*(t - (-1220)/135). Factor -16/9*u - x*u**3 - 8/9 - 10/9*u**2. -2*(u + 1)*(u + 2)**2/9 Suppose 66 - z**3 + 199 + 157 + 43*z**2 + 521*z + 55 = 0. Calculate z. -9, -1, 53 Suppose 6*j + 21*j = 108. Let f be (-2)/(3 + 148/(-36)). Determine x so that -x**j - f + 14/5*x**2 - 1/5*x**5 - 2/5*x**3 + 3/5*x = 0. -3, -1, 1 Let v(h) = -6*h**2 + 1828*h + 3660. Let p(t) = -17*t**2 + 5488*t + 10989. Let b(o) = 4*p(o) - 11*v(o). Factor b(f). -2*(f - 924)*(f + 2) Let m(n) be the first derivative of 3/14*n**4 - 85 + 0*n**2 - 3/35*n**5 - 1/7*n**3 + 0*n. Factor m(z). -3*z**2*(z - 1)**2/7 Let n be (-19680)/(-574) - (24 - -10). Solve 0 - n*r**4 + 2/7*r**2 + 0*r**3 + 0*r = 0 for r. -1, 0, 1 Let v be ((-5)/2)/(5/(-15580)). Find y, given that 21*y**2 + 17*y**2 - 7791*y**3 + 136 - 140*y + v*y**3 = 0. 2, 34 Suppose -2*j + 9*r - 4*r + 19 = 0, 4*r + 4 = -4*j. Suppose 2*k = -2*k - j*b, b = -5*k. Factor a + k*a**2 + 4*a + 2*a**2 + 10 - 7*a**2. -5*(a - 2)*(a + 1) Factor 0*b + 3*b - 20*b**2 - b - b**5 - 10*b - 5*b**3 - 13*b**3 - 7*b**4. -b*(b + 1)*(b + 2)**3 Let l(y) be the third derivative of y**6/780 - 2*y**5/195 - 5*y**4/156 + 125*y**2. Suppose l(f) = 0. Calculate f. -1, 0, 5 Let m(a) =
{ "pile_set_name": "DM Mathematics" }
asing order. -4, -1, y Let d = 1451/100 + -1/100. Let b = d + -59/4. Sort b, 1/9, 0.5 in ascending order. b, 1/9, 0.5 Suppose 0*l + 6 = 3*l. Put -3, -4, l in descending order. l, -3, -4 Let a = -55509 - -3774509/68. Let d = 1/68 + a. Sort -0.3, d, 4 in decreasing order. 4, -0.3, d Let d be ((-3)/(-18))/(70/10204). Let k = d - 171/7. Put -3/7, k, -1/2 in decreasing order. k, -3/7, -1/2 Let w be (-1)/1 - (1 + -1). Suppose 0 = 4*h + j + 21, 8*h - 5*j - 5 = 3*h. Let s be (h - -4)*3/6. Sort s, -2, w. -2, w, s Let a = -2369/6 - -394. Let n be (-4)/22 - 1404/143. Let r be (-10)/3*4/n. Sort r, a, -1/4. a, -1/4, r Let l be (-11)/3 - (-4)/6. Suppose -n + 6 = 7. Put n, l, -2 in increasing order. l, -2, n Let l = -1 - -6. Let r(w) be the first derivative of -w**4/4 + w**3 + w + 5. Let h be r(3). Put 2, l, h in ascending order. h, 2, l Let q = 0.1 - 0.06. Sort 1/5, q, 3 in increasing order. q, 1/5, 3 Let k = 0.29 - -0.01. Let m = 8 + -4. Let t = -3.6 + m. Put k, t, -0.3 in ascending order. -0.3, k, t Let s be 5/(-1) - (-27)/(-45). Let i = -61/10 - s. Sort -3, 5, i in increasing order. -3, i, 5 Let y = -893/4 - -222. Let r = 11 - 14. Let k be 4 + -1 + r + -2. Sort k, -2/5, y in decreasing order. -2/5, y, k Let l = -7.7 + 8. Put -0.01, 5, l in descending order. 5, l, -0.01 Let k = 1 - 2. Let q = 0.8 + k. Let c = q + 0.1. Put c, -0.5, 5 in descending order. 5, c, -0.5 Let d = -28 + 33. Let j(q) = q**3 - 8*q**2 + 5*q + 10. Let n be j(7). Sort n, d, 1 in descending order. d, 1, n Suppose -2*i = 3*f - 4*i - 38, 0 = -2*f - 3*i + 8. Let d be (-88)/(-14) - (-4)/(-14). Let v = f - d. Sort 3, 2, v. 2, 3, v Let w = 0 - -0.3. Let h = 10 - 11. Sort 0, h, w in increasing order. h, 0, w Let h = 0.41 + -2.41. Sort 7, h, -0.1, 2 in ascending order. h, -0.1, 2, 7 Let q(r) = r**3 + 6*r**2 - 2*r - 2. Let m(h) = 6*h**3 + 31*h**2 - 10*h - 11. Let k(c) = 2*m(c) - 11*q(c). Let g be k(3). Put -5, -4, g in decreasing order. g, -4, -5 Let a = 17 - 11. Put -2, 0, a, 2 in ascending order. -2, 0, 2, a Let i = 46 - 65. Let p = 24 + i. Put -1, p, 6 in decreasing order. 6, p, -1 Let o be (((-128)/12)/(-8))/(-4). Put 6/5, o, 2 in ascending order. o, 6/5, 2 Suppose 9*p - 20 = 4*p. Suppose b = 1 + 2, -v = -p*b + 17. Sort 4, v, -2 in decreasing order. 4, -2, v Let z(y) = -y**2 - 7*y - 1. Let v be z(-6). Suppose -d - 2*d + 24 = 0. Suppose -d + 0 = -2*a. Put a, v, -1 in ascending order. -1, a, v Let j(y) = -y**3 + y**2 + 1. Let o be j(4). Let r = -189/4 - o. Put 0.03, r, 0.1 in decreasing order. 0.1, 0.03, r Let h = 8 - 6. Let l = h - 1.9. Let y = 2 + 3. Sort l, -0.2, y. -0.2, l, y Let i = -31 + 34. Suppose -2*k + 2 = -k. Suppose n + 6 = -3*y, 0 = k*y - y - 2*n - 5. Sort y, 1/6, i in increasing order. y, 1/6, i Suppose -15 = -0*s + 3*s. Let o be s/(-10)*(-2)/5. Put o, -4, 2/7 in descending order. 2/7, o, -4 Let w(q) = -q**2 + 3*q - 4. Let h be w(4). Let y = 5 + h. Let v be 5/7 - 8/(-28). Sort 3, y, v in ascending order. y, v, 3 Let i(z) = -z**3 + 5*z**2 - 2*z + 5. Let d be i(5). Sort 1, 8, d in increasing order. d, 1, 8 Suppose 3 = 5*k + 28. Let d = -0.1 + -0.1. Let h = 1.8 - d. Sort 0.1, k, h in ascending order. k, 0.1, h Let h = 1/77 - 85/616. Let i = h - -19/24. Put -2, i, -3 in decreasing order. i, -2, -3 Let s(x) = -9*x + 14. Let m be s(2). Sort m, -2, 2 in increasing order. m, -2, 2 Let f(x) be the second derivative of x**3/6 - 5*x**2/2 - 3*x. Let m be f(6). Put m, 2, -3 in descending order. 2, m, -3 Let g = 57 + -62. Sort 2, -2, g in increasing order. g, -2, 2 Let a = 0.9 + -0.8. Let z = 13/7 + -136/77. Sort 0.5, z, a. z, a, 0.5 Let p = -1.1 + 1.1. Let v = -0.1 + p. Sort 4, v, -2/11 in decreasing order. 4, v, -2/11 Let y = 8 - 7. Let c = 34 - 172/5. Put -5, y, c in decreasing order. y, c, -5 Let w(s) = -s - 2. Let y be w(-7). Let n(j) = 2*j - 9. Let d be n(5). Sort d, y, 2. d, 2, y Let i = -33 + 29. Sort i, 5, -2/17, -3 in increasing order. i, -3, -2/17, 5 Let k(b) be the third derivative of b**4/24 - 3*b**3/2 + 4*b**2. Let y be k(10). Sort 4, -1, y in descending order. 4, y, -1 Let l = 1 + 0. Let d be -1 + 2 + l*2. Suppose 3*t - 3*f - 8 = t, -f = d*t - 1. Sort -5, t, -1 in decreasing order. t, -1, -5 Suppose -4*q - 12 = -2*g, 4*q + g = -6 - 0. Let t be (-2 + 4)*3/(-2). Put t, 2, q in increasing order. t, q, 2 Let f be ((-2)/(-3))/(8/(-12)). Let z be f/(3/(-78) - 0). Suppose 5*g + 11 - z = 0. Sort -4, g, 0 in ascending order. -4, 0, g Let y be 4/30*(-3)/(-2). Let x = -0.6 - -0.5. Sort x, y, 5 in descending order. 5, y, x Suppose 5*o + 10 + 5 = -k, 3*o = -2*k - 16. Put -21, -4, o in increasing order. -21, -4, o Let k = -26 - -44. Suppose 3*u = -2*r + k, -3*r + 4*u - 7 = -0*r. Let t(z) = z + 1. Let w be t(0). Sort -4, w, r in descending order. r, w, -4 Suppose 21 = -5*n + 1. Let f be (-10)/4*n/5. Sort f, 3, -2 in increasing order. -2, f, 3 Suppose f = 4*f + 4*u + 20, -f = -2*u. Let w be (-10)/(-80) + (-31)/(-8). Put w, f, -3 in decreasing order. w, -3, f Let b = 57 - 57.3. Let i = -5.7 - -0.7. Sort i, 0.1, b in increasing order. i, b, 0.1 Let d = 178 + -2312/13. Let w be 10/4*(-243)/(-10). Let a = w + -61. Put d, a, -5 in increasing order. -5, a, d Let m(v) = 33*v + 392. Let h be m(-12). Let a = -5 - -7. Put -2, h, a in descending order. a, -2, h Let k(q) = -3*q**2 + 0*q + 1 + 4*q**2 - 4*q - 2*q**2. Let h be k(-4). Suppose -3 = 2*l + 1, 2*l + 4 = 4*x. Put -3, x, h in descending order. h, x, -3 Let t = 0.88 - -0.12. Put 2/7, 2/23, t in increasing order. 2/23, 2/7, t Let t = -43 + 14. Sort t, -5, -4 in ascending order. t, -5, -4 Let t = -9 + 6. Let p = -2 + t. Let b = -638/9 - -71. Sort b, -1, p. p, -1, b Let m = 15 + -17. Let x = -12 - -17. Suppose 2*a + o + 2 = 0, 2*a - 2*o + 14 = -0*o. Sort m, a, x in ascending order. a, m, x Suppose 3*k = -4*w - 11, 3 - 12 = -4*w + k. Let q be (-10)/(-6)*w*-3. Suppose -15 = 4*h - h, 5*i + 15 = -h. Sort i, 2, q in descending order. 2, i, q Let g = 0 + 1. Suppose 2*t + 7 = g. Let y be 5/(-2)*(3 - 1). Sort y, 1, t in increasing order. y, t, 1 Let q be ((-16)/(-84))/(1/(-3)). Suppose 0 = 2*f - 2*m + 18, -f - 5*m - 2 = -5. Let k be (-2)/f + 17/(-35). Sort k, q, 0.4. q, k, 0.4 Let n = 76/7 - 11. Put 3/2, 0.3, n in increasing order. n, 0.3, 3/2 Suppose 3*o = 4*o + 8. Let r be (o/10)/(4/20). Let g(l) = -l**2 + 4*l - 2. Let d be g(4). Put d, 0.3, r in descending order. 0.3, d, r Let f = 3.4 + -20.4. Let z = f - -2. Let n = 11 + z. Put 5, -1/3, n in ascending order. n, -1/3, 5 Let p = -27 + 23. Put 0, -9, -0.3, p in increasing order. -9, p, -0.3, 0 Let w = 2 - -2. Let g = 0.1 + 5.9. Let b = 5.9 - g. Sort -0.5, w, b in descending order. w, b, -0.5 Let i = -5 - -2. Suppose -3*k + 12 = -t - 19, -2*k + 5*t = -38. Let g be (-1)/(-2) + k/2. Sort i, g, 2. i, 2, g Suppose 8 = -2*g, 3*n + 0*g = 4*g + 13. Put n, 2/5, 0 in increasing order. n, 0, 2/5 Let x be ((-12)/4 - -5) + (-14)/4. Put x, 0.3, -1/3 in descending order. 0.3, -1/3, x Let x be -4*6/(-16)*-2. Let b be (-3)/2*(-24)/(-18). Put b, x, 5 in ascending order. x, b, 5 Let f = -0.173 - 0.027. Sort 3, 1, f, -2/5 in decreasing order. 3, 1, f, -2/5 Let y = 9 - 12. Suppose -8 = -i - 5*x, -3 - 1 = 4*i + 2*x. Put y, 5/6, i in descending order. 5/6, i, y Let o = -5 + -1. Let l = o + 7. Put l, 2/11, -5 in decreasing order. l, 2/11, -5 Let p be (-5)/10 - 3/2. Sort 2, -1, p in ascending order. p, -1, 2 Let k = 15 + 0. Let g = k - 11. Let p = -0.4 - 1.6. Put 2, p, g in decreasing order. g, 2, p Let r = -3/2 - -41/30. Let v = -0.1 - -0.3. Let k = v + -0.2. Sort -3, r, k in increasing order. -3, r, k Let y = 4 + -4.3. Let x = 0.7 - y. Put 4, x, 2 in increasing order. x, 2, 4 Let s = 18 - 17.5. Let h = -3 + 2. Let p be 1*h/6*-2. Put 4, p, s in decreasing order. 4, s, p Let c = 11 - 91/8. Sort -5, 5, 2/9, c. -5, c, 2/9, 5 Let x = 1 - -5. Let k = x - 5.6. Put -2/11, k, 1 in descending order. 1, k, -2/11 Let r = 6 + -5.5. Let h be (-24028)/(-264) + 4/(-22). Let x = h + -91. Sort x, r, -2/7 in ascending order. -2/7, x, r Let q(o) = o + 8. Let x be q(-6). Let u be x - (8*1 + -1). Sort -1, u, 2 in decreasing order. 2, -1, u Suppose -5*c - 5 = 5*q, -q - q - 2 = -2*c. Put -12, c, -1 in increasing order. -12, -1, c Let x = 13 + -11. Let y be -1 + (x + 1)/(-3). Sort -5, y, 5 in descending order. 5, y, -5 Let j = 5 - 3. Let i be 1/(1/(-6)
{ "pile_set_name": "DM Mathematics" }
-119 -77 - (-2 + 8 - 31 - -13) - (1 - 4) -62 Calculate -236 + 249 + (14 - 4) + -6. 17 77 - 33 - (9 - -18) 17 Calculate -3 - (3368 - 3232 - ((-1 - -14) + (2 - 1))). -125 4 + -14 + -44 + 2 -52 What is 62 + (-41 - (-7 - -43))? -15 What is -18 + -41 + 19 + 47 + 22? 29 Evaluate (96 - 211) + 109 - 50. -56 -11 + (-34 - -4 - -41 - (3 - 6)) 3 Calculate 27 - 102 - (-26 + -29). -20 What is -23 - (-6 - (6 + -10 - (16 - (-3 - -11))))? -29 Evaluate (-213 - -213 - 17) + (1 - -23). 7 Calculate (-15 - (-7 + 0 + 0)) + -5 + 93 + -1. 79 -1 + 180 + -48 + -9 + (-12 - 0) 110 Evaluate 8 + 1 + 299 + -350. -42 Calculate 2 + -1 - 7 - (-469 - -471) - 34. -42 Calculate 59 + -36 + 21 + -4. 40 What is 4 - 2 - (-10 - 8 - 17)? 37 Calculate 50 + -49 + -48 - -59. 12 Evaluate -759 + 833 + (-2 - -48). 120 Calculate 29 - (2 - (53 + -63)). 17 What is the value of 22 + (18 - 28) + 6 + 1 + -11? 8 70 + -1 - (2913 - 2880) 36 What is the value of -1 + 5 + -36 + (-75 + 104 - (36 + -8))? -31 Calculate -13 + -33 + 22 - (15 - 26). -13 Calculate 46 + -5 - 125 - -119. 35 What is the value of 11 - (1 - -14) - (-2 - 62 - -5)? 55 Calculate -61 - (125 + -202 + 55). -39 What is the value of -13 - 0 - (-95 - -95) - -40? 27 Evaluate (106 - 95) + -6 + -69 - -6. -58 What is the value of (-34 - -93 - 73) + 1 + -9 + 132? 110 Evaluate -54 + 31 - -37 - -20 - 14. 20 -5 + 9 + 28 - (28 - 24) 28 Evaluate -2 + -21 - -9 - -5 - (0 + -17). 8 (-67 + 19 - -53 - (-1 + 2 + -6)) + -44 -34 Evaluate 34 + -32 + -42 + 47. 7 -2 + 11 - 5 - 4 - (-71 - -37) 34 Calculate 229 + -192 + (-7 - -10). 40 What is the value of (35 - (28 - 15) - -50) + (5 - 7)? 70 Evaluate -6 + 7 + 35 + (-8 + 10 - 8). 30 What is -12 - (57 + 13 + (-29 - 13))? -40 Evaluate (-763 - -819 - (-1 - -40)) + (1 - 89). -71 Calculate (-46 - 1) + (52 + 36 - 85). -44 What is -97 + 87 + 40 + -71? -41 Calculate -6 + 11 + -1 + (-3 - (3 + -2)) + 47. 47 What is the value of 5 + -11 + 3 + 32 + -54? -25 Calculate 7 - (20 + (-11 - 27) + 12 + -22). 35 What is the value of (8 + -1 - 5) + -1 + -7 - (-527 - -409)? 112 What is the value of 74 + 1 + 25 + (23 - 27) + (-12 - -5)? 89 What is the value of -128 + 180 + -217 - -238? 73 What is the value of -53 + 82 + -42 + -22 + 124? 89 Calculate 1068 - 1008 - (-2 - -24 - -4). 34 What is 44 - ((-73 - -61) + -4 + 1)? 59 Evaluate 0 + -4 + 1179 + -1195 + -50. -70 What is the value of -1 + 24 + (10 - 24) - 9 - -44? 44 What is the value of 108 + (-454 - -448 - (2 + 24))? 76 Calculate -132 + 53 - -82 - 29. -26 What is (4 - -2) + 32 + -12 + -25 - 13? -12 What is -7 - ((38 - 44) + (-4 + 9 - -4))? -10 What is the value of (16 - 0) + 19 + -51 + 50 + 3? 37 Calculate (2 - (-1 + (9 - 10)) - 6) + (-21 - 14). -37 Calculate -2 + 96 + (-31 - -59) + -35. 87 (1 - -2) + (-28 + 56 - 15) 16 Evaluate 76 + -15 - 80 - 83. -102 Evaluate (79 - 39) + (-6 - (0 - 21) - 7). 48 Calculate -24 - (25 + (-10 - (39 - -94))). 94 What is (-113 - (-4 + (18 - 6))) + 28 + 6 + -28? -115 3 + 5 + 1 + -12 + -2 -5 What is 15 - 3 - (8 - (-95 + (9 - -9) + -20))? -93 What is (-47 - (-9 - (-18 - -10))) + 9? -37 Calculate (-35 + 8 + 36 - (-3 + 75)) + 6. -57 Calculate 59 + -44 + (-12 - 58). -55 -5 + (15 + 50 - 22) 38 -117 - -143 - (-18 + -1 + -2) 47 (-23 - -23) + (-6 - (2 + (-3 - (0 + 75)))) 70 Calculate (18 - -55) + -8 + -9 + 0 + 3 + 4. 63 Evaluate (1580 - 1491) + 3 + -115. -23 81 + (0 - 64) + 14 + 11 42 What is 1 + -1 + 23 + -14 - 16? -7 -24 + (-22 - (-36 + 20)) - 30 -60 Calculate 16 - (-28 + (4 - (-15 - -1))). 26 What is -2 - ((31 - 16) + (-19 + 16 - 36))? 22 What is the value of (-346 - -380) + (3 - 36)? 1 Calculate -20 + (3 - (4 + 31)) + 21. -31 Evaluate (86 - 122) + -25 - (2 - 1). -62 Calculate -61 - (3 - 7 - 7). -50 Evaluate (-3 - 22) + (0 - (3 + -22)) + -30. -36 What is the value of (27 + -56 - 3) + 27 - (-19 - -1)? 13 What is 3 + -12 + -2 - (2171 - 2103)? -79 What is -27 + (-1 + -20 - (-129 + 101))? -20 1 - 32 - (12 - (54 + -20)) -9 -77 + 90 + (15 - 36) + -2 + 2 -8 What is the value of (-6 + -3 - 2) + -14 + 4 + 39? 18 What is the value of 2 + -5 + 5 + -13 - (18 - (-21 + 29))? -21 Calculate -86 - (-13 + -76 + -103). 106 -1 - -95 - (-20 + 22 - (18 + -7)) 103 21 + (-5 - 4) - (-5 + -8 + -5 + 70) -40 What is (-26 - -4 - (-5 + -8) - 4 - -41) + -9? 19 What is (-6 - (-44 - -20) - 21) + 79? 76 Calculate -10 - 13 - (2 + -15) - 7. -17 Calculate -25 + (21 + -32 + 11 - -6). -19 Evaluate (32 - (96 - 84)) + -44. -24 Evaluate -55 + (19 - 13) + -15 + 3. -61 What is 4987 + -5158 - (-39 - -4 - 1)? -135 (-54 - (11 + -64)) + -11 -12 Calculate 22 + 10 + -22 + (55 - (0 + 3)). 62 Evaluate 16 + ((-22 - 0) + 10 - (-4 - 7)) - 6. 9 2 + 11 - (10 + 5 + (-4 - -36) + 30) -64 Calculate -7 + 14 + 3 + -4 + (130 - 138) + -25. -27 What is 5 + 1 + 2 + -1 + 1 + 2185 + -2255? -62 (2 + -20 - (-26 - -23) - -5) + (-67 - -44) -33 21 + (92 - (-35 + 200)) -52 What is -21 + 10 + 1 + 5 + 21? 16 22 + -138 + 139 + -46 -23 What is the value of -19 - (22 + (14 - 17)) - 17? -55 100 - 88 - ((82 - 51) + 1 + 3) -23 What is the value of (69 - 65) + (0 + 0 + 60 - (-28 - -30))? 62 What is 589 + -192 - 446 - (100 - 1)? -148 Calculate -16 + (-3 - ((-5 - -8) + -10)) - (202 + -90). -124 -42 + -3 + 18 + 0 -27 Calculate (1 - 3) + 0 + -25 + 580 + -589. -36 -1 + 6 - ((372 - 118) + -157) -92 What is (6 - ((14 - (1 - -13)) + -4)) + -13 + -87? -90 What is the value of -106 - (-17 + 12 + 3 + -13 + 4 - -18)? -113 What is 3 + -7 + -35 + (1 - (-28 - -16))? -26 What is (2 - 1) + 62 + -1 - (-52 - (-134 + 74))? 54 What is the value of 16 - ((-53 - -30 - -22) + (-5 - 6))? 28 Evaluate -1 + (-17 + 55 - 75). -38 Evaluate -19 + 36 + (-77 - (22 + -14)). -68 Calculate -33 + 0 - (2265 - 2276). -22 What is 5 + (9 - 13 - -5) + (-11 - 5 - -11)? 1 Calculate 45 + (-32 - -42) - 52. 3 (-59 + -1 - ((-4 - -6) + 4)) + (66 - 60) -60 (-113 - -148) + 3 + -31 7 What is -88 - (35 - (-57 + 133))? -47 (26 - -3) + (-49 - -65 - (-4 - -9)) 40 -4 + 18 + (4 - 1) + (-1675 - -1684) 26 Evaluate 7 + -1 - 8 - (13 - 7 - -6). -14 What is -82 + (-6 - (3 - (10 + 4 + -4 + 11)))? -70 What is the value of (7 - (18 - (-2 - (4 + 6)))) + -14? -37 (214 - 139 - 351) + 154 -122 (-6 - (83 - 119)) + (-28 - 2) 0 25 + (17 - (53 + -65 + 18 + 2)) 34 43 - (-34 - (-74 + 43)) 46 What is the value of -2 + 12 - (-9 + (23 - 11)) - (-31 - 4)? 42 What is the value of -15 - -31 - (239 + -229)? 6 66 + -2 + (-14 - (6 - -1)) + 9 52 Evaluate -23 + 1 + 47 + -22 + -10. -7 What is -25 + (12 - (8 + -8 - -16)) + -8? -37 What is the value of (-30 - 12) + 50 + 51? 59 What is (78 - (130 - 58) - (-3 - (3 + -9))) + -20? -17 What is the value of (33 - 89) + 54 + (52 - (2 - 3)) + -4? 47 What is (-1 - 3) + 4 - 49 - (1351 - 1349)? -51 What is -32 + 33 + (-4 - -50) + -24 + 18 + 11? 52 Calculate 37 - (23 + 11 + 7 + 2 + -29). 23 Calculate 2 + 12 + 41 + -85 + 27 - 1. -4 (2 - -4 - -16) + 1 + 0 23 170 + -45 - (0 - (15 + -34 + 13)) 119 0 + 8 - ((41 - 52) + 0) 19 Evaluate 7 + (-37 - -24) + -6 + (3 - -4) + -99. -104 Calculate (-27 - -42) + -28 - ((3 - 2) + -41). 27 (72 - (-42 - -21)) + -103 -10 Calculate -7 - -78 - (4 + 31 + -14). 50 (150 + (40 - 69) - -14) + -36 99 What is (5 - 0) + 138 + 2 - (19 + -94 + 88)? 132 (3 - (18 - 6)) + 49 + 16 + -30 26 What is (-76 - -70) + -118 + (28 - 13) + (0 - -10)? -99 What is -72 + (-116 - -209) + -56? -35 What is the value of -190 + (142 - (0 + 26))? -74 What is the value of 48 - ((35 - (14 + 14)) + -1 + -11)? 53 What is the value of -30 + 66 + -9 + (-13 - 8)? 6 -1 - 20 - (-14 + 39 - 21) -25 Evaluate (-65 - -2) + -9987 + 9990. -60 What is the value of 8 - 2 - -1 - (20 + -3 + -17 - -9)? -2 -6 - (2 - 5 - 39 - -19) 17 (-1 - ((1 - 0) + -10) - (0 - -2)) + -8 -2 What is the value of (34 - 2) + (22 - (-19 + 42))? 31 What is the value of -12 + 9 - -7 - (55 - 44 - (-77 - -1))? -83 What is the value of 62 + (-27 - (-9 - 4) - 10)? 38 What is the value of -35 + 4 + -33 + -18 + 63 + 9? -10 What is 14 - (-24 + (1 - -25)) - 33? -21 What is the value of -31 + (39 + -1 - 38)? -31 25 - 3 - (-155 - -156) - 35 -14 Evaluate 262 + -235 - (5 - -1). 21 Calculate -121 + (1 + 30 - -27). -63 What is -52 - (-47 + 92 - (-2 - -19) - 11)? -69 Calculate 1 + (-2 - 3) - (530 - 506). -28 Evaluate (-47 - ((-3 - 3) + 23 + (9 - 21))) + -8. -60 -4 - (-33 - (0 + -16) - -52) -39 What is the value of 10 - 31 - (23 - 16)? -28 What is the valu
{ "pile_set_name": "DM Mathematics" }
r. -18, 3, 8 Sort -30, -9, -3 in descending order. -3, -9, -30 Sort -61, 111, -2, 14. -61, -2, 14, 111 Sort 0.5, -7/4, 427/6. -7/4, 0.5, 427/6 Sort 4, 6452, -15. -15, 4, 6452 Sort -2, 612, 13, 0 in ascending order. -2, 0, 13, 612 Sort -0.4, -0.1, 51, 5, 0.028 in descending order. 51, 5, 0.028, -0.1, -0.4 Put 0, 1, -126, -5, -11, -3 in decreasing order. 1, 0, -3, -5, -11, -126 Sort 1, 4, 311, -2, -5, 8. -5, -2, 1, 4, 8, 311 Put 21, -3, 4, -7, -43 in descending order. 21, 4, -3, -7, -43 Put 105, 1, 80, 0 in increasing order. 0, 1, 80, 105 Sort 109, 1/3, 0.05, -9, 0. -9, 0, 0.05, 1/3, 109 Sort -1/6, -2/11, -3/4, 1/5 in increasing order. -3/4, -2/11, -1/6, 1/5 Sort 1/8, 3, -6, 2023 in increasing order. -6, 1/8, 3, 2023 Sort -36, -3, 3, 13, 4, 0 in increasing order. -36, -3, 0, 3, 4, 13 Sort 1, -13, 0, -6, 36, -3 in ascending order. -13, -6, -3, 0, 1, 36 Sort 2/9, -7, -3, 2396 in descending order. 2396, 2/9, -3, -7 Sort -112360, 9, -1 in descending order. 9, -1, -112360 Put 2, 5, -4, 1411, -8 in increasing order. -8, -4, 2, 5, 1411 Put -2295.7, -19, -0.1 in descending order. -0.1, -19, -2295.7 Sort 5, -23, 4, 38, -25 in increasing order. -25, -23, 4, 5, 38 Put -3, 1, 758, 3, 6 in increasing order. -3, 1, 3, 6, 758 Sort -17, -2, -50, -37. -50, -37, -17, -2 Sort -41, -5, 1, 17 in descending order. 17, 1, -5, -41 Sort 5, -1, -5, -3, -153 in increasing order. -153, -5, -3, -1, 5 Sort -128, -56/11, 5/4, 0.1. -128, -56/11, 0.1, 5/4 Put 6, 1, 2, 4, 33 in decreasing order. 33, 6, 4, 2, 1 Sort 5, -2/7, 10/239. -2/7, 10/239, 5 Sort -20, -3, -6, 1, -5, 2 in decreasing order. 2, 1, -3, -5, -6, -20 Put -1, -11, -3, 15, -4 in descending order. 15, -1, -3, -4, -11 Sort -2, -49.2, -1/11, -1/7 in decreasing order. -1/11, -1/7, -2, -49.2 Put 28, 2, 52, 5, 0 in decreasing order. 52, 28, 5, 2, 0 Sort -3, -5, -24, -112 in descending order. -3, -5, -24, -112 Put 0.1, -74, 2/3, -9 in increasing order. -74, -9, 0.1, 2/3 Sort 6, -4, 0, 45. -4, 0, 6, 45 Put -3, -4, 4, 25, 231, 5 in decreasing order. 231, 25, 5, 4, -3, -4 Sort 2, 93, 3, 15, -2 in ascending order. -2, 2, 3, 15, 93 Put -27, -41.2, 1/5 in descending order. 1/5, -27, -41.2 Sort 10, -5, -1084, -3, -4 in decreasing order. 10, -3, -4, -5, -1084 Sort 8, 43, -6, 4 in decreasing order. 43, 8, 4, -6 Put 1, -4, 146, -16 in increasing order. -16, -4, 1, 146 Sort 0, 26, 25, -1, -3. -3, -1, 0, 25, 26 Put -68194, -2, 2, 1, -4 in descending order. 2, 1, -2, -4, -68194 Sort 51, -6, -89, -3 in decreasing order. 51, -3, -6, -89 Sort 0, 22, -2, -3, 5, 13. -3, -2, 0, 5, 13, 22 Sort 0, 175, 41, 0.4 in decreasing order. 175, 41, 0.4, 0 Sort 0.5, 170, 1/222. 1/222, 0.5, 170 Put 0.01901, 2, -7, -2/11 in descending order. 2, 0.01901, -2/11, -7 Put 22, -140, 1 in increasing order. -140, 1, 22 Sort 1, 25715, 3 in descending order. 25715, 3, 1 Put -4267/5, -2, 5 in ascending order. -4267/5, -2, 5 Sort -6, 0, -614, -9 in decreasing order. 0, -6, -9, -614 Put -86, 5/3, -2/3, -5 in increasing order. -86, -5, -2/3, 5/3 Sort -2, 17.2, 3, -2/15, -14 in decreasing order. 17.2, 3, -2/15, -2, -14 Sort 27, 5, 150, -2, 1, 2. -2, 1, 2, 5, 27, 150 Sort 365, 0, 3, -10, -2 in decreasing order. 365, 3, 0, -2, -10 Sort 819, 1, 6, -9, 5 in descending order. 819, 6, 5, 1, -9 Put -120, -3, 568 in decreasing order. 568, -3, -120 Sort 11, -222, 8, 0 in decreasing order. 11, 8, 0, -222 Sort 5, -13, 3, -3, 2, -162. -162, -13, -3, 2, 3, 5 Put 338, 3, -13, 0, 7 in ascending order. -13, 0, 3, 7, 338 Sort -79, 0.5, 0.015. -79, 0.015, 0.5 Sort -2/19, -0.088, 8, -1/2, 3 in increasing order. -1/2, -2/19, -0.088, 3, 8 Sort 2/3, -13, 0, -358, -10, 3 in decreasing order. 3, 2/3, 0, -10, -13, -358 Sort -6/25, 5, 0.2, 6, -79. -79, -6/25, 0.2, 5, 6 Put 188, 3, -32 in decreasing order. 188, 3, -32 Put -2, 5, 11, -1, 0, 16 in increasing order. -2, -1, 0, 5, 11, 16 Put 5, 11, -93, -4, 1 in decreasing order. 11, 5, 1, -4, -93 Put -128, 1, 8 in increasing order. -128, 1, 8 Put -52, 0, 17, -6 in increasing order. -52, -6, 0, 17 Sort -0.03, 15, 2, 8. -0.03, 2, 8, 15 Put 13/4, -0.04, -2, -5, -22 in increasing order. -22, -5, -2, -0.04, 13/4 Put -355, 0, 56, 1 in descending order. 56, 1, 0, -355 Sort 43, -3/2, 3, -47 in decreasing order. 43, 3, -3/2, -47 Put 28, -135, -4 in ascending order. -135, -4, 28 Put -36169, -3, 2, 3 in ascending order. -36169, -3, 2, 3 Sort -2/7, -1/3, -6, 44. -6, -1/3, -2/7, 44 Sort 1.4, -451, 1, -3, 4 in ascending order. -451, -3, 1, 1.4, 4 Put 4, 8, 764 in decreasing order. 764, 8, 4 Sort 0.4, -0.1329, -0.3, 6 in ascending order. -0.3, -0.1329, 0.4, 6 Sort -3, -170, 418. -170, -3, 418 Put -3, 1, -31, 191 in increasing order. -31, -3, 1, 191 Sort 7, -4, 4, -5, -87569 in descending order. 7, 4, -4, -5, -87569 Sort -517, 23, -0.3 in descending order. 23, -0.3, -517 Sort -0.2, 12948, -4, -0.3 in decreasing order. 12948, -0.2, -0.3, -4 Put 2/9, 3/16, 100, 16 in ascending order. 3/16, 2/9, 16, 100 Put -1, 191, 0.04, 1/5 in increasing order. -1, 0.04, 1/5, 191 Put -139, 3, -20 in decreasing order. 3, -20, -139 Sort -3, 565/6, -3/2 in decreasing order. 565/6, -3/2, -3 Put 0, -2, 5/3, -6, 1/46, 11 in decreasing order. 11, 5/3, 1/46, 0, -2, -6 Put -25709, -0.5, 1 in decreasing order. 1, -0.5, -25709 Sort 5, 3, 12081 in increasing order. 3, 5, 12081 Put -1960, 5, 1, 3, -1, 2 in increasing order. -1960, -1, 1, 2, 3, 5 Put -101, 93, -3, -2 in ascending order. -101, -3, -2, 93 Sort 0, 4, 85652. 0, 4, 85652 Sort 0.146, -1/4, 230. -1/4, 0.146, 230 Sort 1189, 5, 22. 5, 22, 1189 Put -2, 1, -5, -18155, 0 in decreasing order. 1, 0, -2, -5, -18155 Sort 15, -5/93, -2 in increasing order. -2, -5/93, 15 Sort 1, 5, -2, -553. -553, -2, 1, 5 Sort 457, 1, 3, 11. 1, 3, 11, 457 Sort -5, -4/7955, 0 in ascending order. -5, -4/7955, 0 Sort 12253, 2, 4 in decreasing order. 12253, 4, 2 Sort -12/5, -0.3, 152, -3, -9. -9, -3, -12/5, -0.3, 152 Sort -3/5, -16/5, -33 in ascending order. -33, -16/5, -3/5 Sort -0.3, 12, -1105, 3/8 in ascending order. -1105, -0.3, 3/8, 12 Put 6, 4, 5, -6, -34, 0 in descending order. 6, 5, 4, 0, -6, -34 Sort 9, -34, -3, 3, 5 in descending order. 9, 5, 3, -3, -34 Sort -1173, -4, 3, 41. -1173, -4, 3, 41 Sort 5.1, -1, 415 in decreasing order. 415, 5.1, -1 Sort 11, 487, 2 in increasing order. 2, 11, 487 Sort 9, 5/3, -1/119, 5, 0.3, -0.05 in decreasing order. 9, 5, 5/3, 0.3, -1/119, -0.05 Put -2, -1, -5, 236, -7 in descending order. 236, -1, -2, -5, -7 Sort 4, -4, 8, 2, -3, -14. -14, -4, -3, 2, 4, 8 Sort 3, -3, -11, 1, 2, 30 in decreasing order. 30, 3, 2, 1, -3, -11 Put 34625, -4, -5 in ascending order. -5, -4, 34625 Sort -2, -1, 2, -132, -3 in decreasing order. 2, -1, -2, -3, -132 Put -4, 3, 14, 49, -8 in ascending order. -8, -4, 3, 14, 49 Put -2/9, -1/4, 0.3, -1313 in increasing order. -1313, -1/4, -2/9, 0.3 Put 8/11, -19/24, 3/8 in ascending order. -19/24, 3/8, 8/11 Put -2/11, -238.6, -62 in increasing order. -238.6, -62, -2/11 Put -1.42, -1, 3, -0.04827 in descending order. 3, -0.04827, -1, -1.42 Put 4, -25, 3, -13, 12 in decreasing order. 12, 4, 3, -13, -25 Sort 23, -200, 3 in decreasing order. 23, 3, -200 Put 2, -4, 1, -14635 in descending order. 2, 1, -4, -14635 Put 0, 48, -17, -16 in ascending order. -17, -16, 0, 48 Sort 3012, -3, -4, 11. -4, -3, 11, 3012 Sort -78, -27, 0.017 in descending order. 0.017, -27, -78 Put -148, -34, -1, -3, 5, -5 in decreasing order. 5, -1, -3, -5, -34, -148 Sort -20.5, 0, 0.0972. -20.5, 0, 0.0972 Put 9, -20, -5, 97, 5 in ascending order. -20, -5, 5, 9, 97 Sort 551, -0.4, -0.27, -3, 1/5 in decreasing order. 551, 1/5, -0.27, -0.4, -3 Put 1, -5, 0, -4, 65, 124 in decreasing order. 124, 65, 1, 0, -4, -5 Sort 5418, 0, 5. 0, 5, 5418 Put 0, 5, -5, -4147 in ascending order. -4147, -5, 0, 5 Sort 4/3, -0.25, 43, -1995 in descending order. 43, 4/3, -0.25, -1995 Put -8/7, -2/11, -0.6, -4, 28/9 in decreasing order. 28/9, -2/11, -0.6, -8/7, -4 Put 2, -5, -1.8, -0.11, 8 in descending order. 8, 2, -0.11, -1.8, -5 Put 83, 826, -1 in decreasing order. 826, 83, -1 Sort 4.2, -0.002, 17 in descending order. 17, 4.2, -0.002 Sort 2, -4, -107118 in ascending order. -107118, -4, 2 Put 67, 5, 1, 0, -3, 4 in descending order. 67, 5, 4, 1, 0, -3 Sort 3, 838, 5. 3, 5, 838 Sort 823, -5, -1, 3, 1.9 in descending order. 823, 3, 1.9, -1, -5 Put 4, -5, 60 in inc
{ "pile_set_name": "DM Mathematics" }
uppose 4*t - 3*q - 84 = 0, 2*t + 3*q = 2*q + 42. Calculate the least common multiple of t and 78. 546 Let l = -4997 + 76489/10. Let b = 2642 - l. Find the common denominator of b and -111/22. 110 Let h be -2*5*3/(-6). Suppose 0 = 5*o - u - h, 3*u = -5*o - 2*u + 5. What is the common denominator of 2 + 255/(-42) + o and 91/16? 112 Let t be (-128028)/(-39050)*5/4. Let h = -51/355 + t. Let f = 26721/8 + -3345. What is the common denominator of h and f? 88 What is the lowest common multiple of ((-198)/27)/((-2)/6) and 2? 22 What is the least common multiple of (-3)/(-8) - (-477)/72 and 14? 14 Let a be (-1 + 3)*(-5 - 0). Let f be (-510)/1212*(-8)/a. Let x = 10399/1212 - f. Find the common denominator of x and -121/12. 12 Suppose -c = n - 8, 33 = 5*c + 4*n - 9. What is the lowest common multiple of 18 and c? 90 Suppose f + 30 = 6*f. Find the common denominator of (172/6 - 1)/2 and (-7)/48 - f/9. 48 Suppose 0 = -4*m - 4*l - 16, -4*l - 16 = -3*m. Let p be (1 + 0)*(m + -1). Find the common denominator of (2 - -31)*p/(-14) and 9/16. 112 Let a(w) = -w**2 - 11*w - 13. Let t be a(-10). Calculate the common denominator of (-1)/((-3)/(-64)) - t and 12/11. 33 Let a(c) = c**2 - 9*c - 9. Calculate the smallest common multiple of a(10) and 8. 8 Let o = 20 - 9. Let w be (0 + 0)*3/6. Suppose -2*u + 8 = -5*x - w*x, 5*x - 37 = -3*u. Calculate the lowest common multiple of u and o. 99 Let t(w) = 0*w + 1 + 3*w**2 - w**2 + 2*w. Suppose -7*h = -2*h + 10. What is the least common multiple of t(h) and 5? 5 Let m(t) = t**2 + 2*t. Let a be m(-3). Let y = a + 2. What is the common denominator of 8/((-3)/y - -2) and -14/3? 21 Let l(x) = -19*x**3 + 2*x**2 + 3*x + 2. Calculate the least common multiple of 16 and l(-1). 80 Suppose -5*m = -25, 2*m - 4*m + 100 = 5*s. What is the least common multiple of 33 and s? 198 Find the common denominator of -37/8 and ((-95)/(-15))/((-2)/5). 24 What is the lowest common multiple of (-300)/(-21) - (-8)/(-28) and 6? 42 Let k = -2 - -2. Suppose 5*c - 45 = 2*o, 2*o + 36 = 4*c - k*o. Calculate the least common multiple of 11 and c. 99 Let w = -8/43 - 3881/172. What is the common denominator of -35/36 and w? 36 What is the common denominator of -79/50 and (7/189)/(2/(-339))? 450 Let g(h) = -3*h**2 + 8*h + 7. What is the smallest common multiple of g(3) and 20? 20 Let c be 2 + 0 - 33846/3. Let o = 29014171/170 + -2709822/17. Let q = c + o. What is the common denominator of q and 77/6? 30 Find the common denominator of -19 and ((-1512)/(-32))/(3/2). 2 Suppose 75 = 3*a + 2*a. Calculate the smallest common multiple of a and 21. 105 Let n = 39 + -28. Calculate the lowest common multiple of n and 9/1 + -6*(-6)/(-9). 55 Let s = 39067597/30338 - 1591/1379. Let y = s + -1285. What is the common denominator of y and -47/4? 44 Suppose 4*q + 4 - 8 = 0. Let j(k) = -k**3 - 5*k**2 - 2*k - 3. What is the smallest common multiple of j(-5) and q? 7 Let u be (4/(-6))/((-40)/(-101055)). Let i = 1723 + u. Let c = 185/4 - i. Find the common denominator of c and -11/16. 16 Let u be (-9)/(1 + 2) + -105. Find the common denominator of 1/(-16) - 2/4 and (-81)/4*9/u. 16 Let l(v) = 2 + 7*v - 8*v**3 - 7*v**2 - 4 + 9*v**3. Calculate the least common multiple of l(6) and 6. 12 Let d = -43 - -24. Let f = 29 + d. Calculate the smallest common multiple of f and 4. 20 Suppose -4*i + 4*b - 30580 = 0, -15278 = 2*i - b - 4*b. Let m = i - -76591/10. What is the common denominator of m and -33/10? 10 Let a = -101/829 - -4279235/19896. Let g = 851/4 - a. What is the common denominator of g and -41/10? 120 Suppose -4*q + 39 = -q + w, w = 4*q - 45. Let b = 23 + -7. What is the smallest common multiple of b and q? 48 Let g = -2751/46 - -260/23. Let u = 2/235 - -213/2585. What is the common denominator of u and g? 22 Suppose 4*q = -0*q + 8. Calculate the common denominator of 1/(-10)*(-94)/(-4) and (-2516)/(-504) + q/9. 140 Suppose v = 2*o - 24, 3*o + 0*v = 3*v + 30. What is the lowest common multiple of 16 and o? 112 Let b be ((-8)/3)/((-8)/(-144)). What is the lowest common multiple of (-20)/(-6)*b/(-40) and 5? 20 Let f = -73 - -117. Find the common denominator of (-21)/14 - 142/f and -43/6. 66 Suppose -4*n + 19 = -61. Let s(m) = -m**2 + 2*m + 7. Let v be s(3). Suppose -v*z = 4*d - n, z + z + 44 = 4*d. What is the lowest common multiple of d and 4? 36 Let i(k) = -4*k - 4. What is the lowest common multiple of i(-3) and 3? 24 Suppose 5*p - 80 = -4*x, -4*p + 10 + 65 = x. Let l = -18 - -40. Calculate the least common multiple of l and p. 220 Suppose u - 4 = -u. Suppose -5*i + 37 = u. Let c = -6 + 8. Calculate the lowest common multiple of i and c. 14 Let q = -17787 + 480322/27. Find the common denominator of q and 49/33. 297 Suppose 0*h - 5*h + 25 = 0. Let u = 15 - h. Suppose -30 + 0 = -3*r. What is the least common multiple of r and u? 10 Let z = 22 - 12. Suppose h = -2*b + z, 24 = 3*h + 3*b + b. Calculate the smallest common multiple of h and 10. 20 Let r = -7 - -8. Suppose -m + r = -1. Calculate the lowest common multiple of 4 and m. 4 Let p be (-3 - (10 - 2)) + -2. Let q(u) = u**3 + 14*u**2 + 12*u - 11. What is the lowest common multiple of 14 and q(p)? 14 Let b be (-2 - 33/(-6))*-6. What is the common denominator of -1/20 and (-6)/b - 303/(-140)? 20 Let y be (-1)/(-5) - (-76)/20. Suppose g + 3*n = y*g - 15, 0 = 5*g + 4*n - 52. Calculate the smallest common multiple of 12 and g. 24 Let r(a) = a**3 - a**2 + 3*a + 12. Let z(l) = l**2 + 5*l + 4. Calculate the least common multiple of z(-6) and r(0). 60 Let m be ((-4)/(-10))/(1/5). Let p = -1 + m. Let h = 2 + -1. What is the least common multiple of h and p? 1 Suppose -4*y = 5*z - 70, -4*y - 19 = -4*z + 1. Find the common denominator of 12/z*(-23)/(-3) and 55/7. 35 Let a = -74 - -83. What is the smallest common multiple of 7 and a? 63 Let z(a) = -2*a - 7. Let r be 1/((-10)/(-8) - 1). Let s(i) = -i**3 + 3*i**2 + 4*i - 5. Let b be s(r). Calculate the least common multiple of z(b) and 1. 3 Find the common denominator of 143/18 and (-1370)/6800 - 2/(-5). 1224 Let q(m) = m**3 - 5*m**2 + 9*m - 2. Let z be q(6). Find the common denominator of 69/8 and (-12)/z - 2/4. 88 Suppose 0*c = 4*c. Suppose -3*k = -c*k - 12. Let t(d) = 4*d**2 - d - 2. Calculate the smallest common multiple of k and t(2). 12 Suppose 6*c - 3*c - 6 = 0. Find the common denominator of (-2)/8 + 0 - 3465/(-154) and 410/(-96) + c/(-3). 16 What is the common denominator of 2/6*(-1125)/30 and -87/20? 20 Suppose -58 = -3*d - g + 3*g, -4*d = -4*g - 84. Calculate the lowest common multiple of 14 and d. 112 Let a = -233/39 - -316/13. Find the common denominator of 22/3 and a. 3 Let q(b) = b**3 - 11*b**2 + 11*b - 9. What is the least common multiple of 3 and q(10)? 3 Let s be ((-1)/3)/((-10)/90). Suppose 0 = 5*z - s*f - 71, 3*z + 1 = f + 46. What is the smallest common multiple of 4 and z? 16 Let t be 5/(-2)*(7 + -9). What is the least common multiple of t/(15/(-9)) + 9 and 7? 42 Find the common denominator of (-1209)/168 - (-9)/(-24) and -137/6. 42 Let x be (2 - 3) + 1 + 1. Calculate the common denominator of (-51 - 2/x)/2 and (138/(-16))/(-3) - 2. 8 Let p = -56382/67 + 7228615/8308. Let c = p - 366/31. Let t = 1007/6 + -1439/9. What is the common denominator of t and c? 36 Suppose -14 - 1 = -3*u. Let k be u/10*(1 + 17). Suppose k*q - 5*q - 80 = 0. Calculate the lowest common multiple of q and 8. 40 Suppose -4*a = -21 + 1. Suppose 2*t + i = 2*i + 18, -a*i = -10. Calculate the least common multiple of t and 7. 70 Let w be -1 - ((-4546)/4542 - 0). Let y = 2511902 + -3803027449/1514. Let l = w - y. Calculate the common denominator of l and 41/6. 6 Let r = -7 + 13. Suppose -r*x + 177 = -3*x. Calculate the common denominator of 71/16 and x/15*6/(-4). 80 Let s(a) be the third derivative of 0*a - 2*a**2 + 1/30*a**5 + 0 - 1/8*a**4 + 0*a**3. What is the smallest common multiple of s(4) and 16? 80 Let s = 10226 + -225017/22. What is the common denominator of s and -101/80? 880 Let o = 13/4 - 135/4. Let i = -5693/2156 - 17/196. Calculate the common denominator of i and o. 22 Let b = 27 - 11. Calculate the least common multiple of 16 and b. 16 Let j(o) = o**2 - 9*o + 21. What is the least common multiple of j(9) and 33? 231 Let c = 3 + -14. Let f = -5 - c. What is the lowest common multiple of f a
{ "pile_set_name": "DM Mathematics" }
tiple of 48 and 186? 1488 Find the common denominator of 25/8 and -115/72. 72 Calculate the common denominator of -11/5 and -95/132. 660 Calculate the least common multiple of 18 and 54. 54 Calculate the smallest common multiple of 238 and 14. 238 Calculate the least common multiple of 460 and 276. 1380 What is the smallest common multiple of 48 and 582? 4656 Find the common denominator of 49/11 and -5/18. 198 Calculate the smallest common multiple of 7 and 4634. 4634 Find the common denominator of 89/910 and 67/182. 910 Find the common denominator of -37/266 and 37/12. 1596 What is the lowest common multiple of 129 and 11? 1419 Calculate the least common multiple of 1260 and 315. 1260 What is the lowest common multiple of 126 and 18? 126 Find the common denominator of -119/30 and -29/10. 30 What is the least common multiple of 12 and 33? 132 What is the smallest common multiple of 64 and 1392? 5568 What is the smallest common multiple of 120 and 1? 120 What is the lowest common multiple of 237 and 6? 474 What is the smallest common multiple of 11 and 14? 154 Find the common denominator of -27/20 and -127/1260. 1260 What is the lowest common multiple of 10 and 55? 110 What is the least common multiple of 390 and 2? 390 What is the common denominator of 63/1165 and -89/1398? 6990 Calculate the least common multiple of 30 and 125. 750 What is the least common multiple of 156 and 16? 624 What is the smallest common multiple of 21 and 870? 6090 Calculate the lowest common multiple of 18 and 324. 324 Find the common denominator of 22/161 and 64/69. 483 What is the common denominator of 49/10 and -43/1854? 9270 Find the common denominator of 1/3 and 79/4. 12 What is the common denominator of -50/109 and -49/2? 218 Find the common denominator of 77/36 and -109/40. 360 What is the lowest common multiple of 1548 and 516? 1548 What is the least common multiple of 5 and 17505? 17505 What is the least common multiple of 35 and 28? 140 What is the lowest common multiple of 141 and 126? 5922 Find the common denominator of 103/120 and 65/216. 1080 Calculate the common denominator of 139/234 and -53/180. 2340 Calculate the common denominator of 137/42 and -11/42. 42 Calculate the least common multiple of 16 and 232. 464 Calculate the common denominator of 13/3 and -79/114. 114 What is the smallest common multiple of 27 and 48? 432 What is the common denominator of 113/2868 and -149/2868? 2868 Calculate the common denominator of 31/252 and 79/132. 2772 Calculate the lowest common multiple of 41 and 164. 164 What is the common denominator of 33/50 and -11/18530? 92650 Find the common denominator of 81/2 and 81/61582. 61582 Calculate the common denominator of 7/48 and -31/24. 48 What is the lowest common multiple of 48 and 12? 48 What is the least common multiple of 289 and 612? 10404 Calculate the lowest common multiple of 24 and 6. 24 What is the least common multiple of 343 and 1274? 8918 What is the lowest common multiple of 7287 and 33? 80157 What is the lowest common multiple of 480 and 240? 480 What is the lowest common multiple of 168 and 21? 168 What is the common denominator of -93/100 and 143/690? 6900 Calculate the common denominator of 191/546 and 56/33. 6006 Find the common denominator of 55/48 and -29/704. 2112 What is the common denominator of -57/1630 and -59/10? 1630 Calculate the least common multiple of 4 and 26. 52 What is the least common multiple of 561 and 255? 2805 Calculate the lowest common multiple of 42 and 1158. 8106 Find the common denominator of -95/273 and 3/455. 1365 Calculate the common denominator of -67/200 and 61/20. 200 What is the common denominator of 15/182 and 15/104? 728 Find the common denominator of 53/48 and -125/168. 336 Calculate the least common multiple of 16 and 44. 176 What is the common denominator of -1/247 and -13/8? 1976 What is the least common multiple of 20 and 15492? 77460 What is the least common multiple of 160 and 1400? 5600 Find the common denominator of 7/110 and 109/616. 3080 What is the smallest common multiple of 10 and 438? 2190 Find the common denominator of -5/161 and -75/322. 322 Find the common denominator of -26/7 and 63/32. 224 Calculate the smallest common multiple of 30 and 51. 510 Calculate the smallest common multiple of 752 and 128. 6016 Find the common denominator of -94/105 and -121/2520. 2520 Calculate the lowest common multiple of 511 and 1460. 10220 What is the common denominator of 99/26 and -85/1716? 1716 Calculate the smallest common multiple of 204 and 8. 408 What is the common denominator of -155/588 and 123/140? 2940 Find the common denominator of 67/24 and -43/64. 192 Calculate the common denominator of 7/2 and -49/1115. 2230 What is the common denominator of 5/72 and 71/1400? 12600 Calculate the common denominator of -22/3 and -157/60. 60 Calculate the least common multiple of 272 and 374. 2992 What is the common denominator of -113/110 and -16/11? 110 What is the common denominator of 32/75 and -13/10? 150 Calculate the common denominator of -95/416 and 103/80. 2080 Calculate the common denominator of -5/42 and -127/1362. 9534 Calculate the lowest common multiple of 24 and 2322. 9288 What is the smallest common multiple of 9554 and 2810? 47770 Calculate the smallest common multiple of 198 and 96. 3168 Calculate the common denominator of -27/25 and -57/4795. 23975 Find the common denominator of -49/717 and 23/21. 5019 Calculate the smallest common multiple of 1134 and 162. 1134 Find the common denominator of 71/24 and -67/8. 24 Find the common denominator of -49/27 and -64/3. 27 What is the least common multiple of 4697 and 2135? 23485 What is the common denominator of -109/432 and -73/252? 3024 Find the common denominator of -18/55 and -92/165. 165 Calculate the common denominator of 19/4980 and -181/30. 4980 Find the common denominator of -61/33945 and -11/5. 33945 Calculate the lowest common multiple of 68 and 38. 1292 What is the smallest common multiple of 261 and 27? 783 What is the smallest common multiple of 6 and 766? 2298 What is the lowest common multiple of 56 and 84? 168 What is the lowest common multiple of 34 and 10472? 10472 Calculate the least common multiple of 6 and 246. 246 What is the smallest common multiple of 3 and 3504? 3504 Calculate the lowest common multiple of 84 and 460. 9660 Calculate the lowest common multiple of 55 and 60. 660 Calculate the smallest common multiple of 160 and 1120. 1120 Find the common denominator of 40/7 and 22/371. 371 Find the common denominator of 23/6 and 55/78. 78 Find the common denominator of 42/695 and 101/1946. 9730 Calculate the common denominator of -5/154 and 7/3014. 21098 Calculate the lowest common multiple of 260 and 40. 520 Calculate the lowest common multiple of 252 and 16. 1008 Calculate the common denominator of -23/140 and -101/146. 10220 What is the common denominator of 19/8 and -19/96? 96 What is the common denominator of -163/198 and -7/18? 198 Calculate the least common multiple of 136 and 80. 1360 Calculate the least common multiple of 1374 and 12. 2748 Calculate the common denominator of 75/8 and 20/3. 24 What is the common denominator of -49/90 and 67/1692? 8460 What is the least common multiple of 130 and 60? 780 Calculate the common denominator of -25/6 and -35/144. 144 What is the lowest common multiple of 7 and 371? 371 Calculate the least common multiple of 6 and 1590. 1590 What is the smallest common multiple of 40 and 2610? 10440 Calculate the lowest common multiple of 583 and 66. 3498 Calculate the least common multiple of 159 and 27. 1431 Find the common denominator of 99/7886 and 151/6. 23658 Calculate the least common multiple of 165 and 675. 7425 Calculate the common denominator of 49/724 and -65/18. 6516 What is the least common multiple of 3785 and 15? 11355 What is the lowest common multiple of 686 and 4? 1372 What is the least common multiple of 1254 and 1254? 1254 What is the common denominator of 53/11 and 121/48? 528 Find the common denominator of 91/8 and -121/30. 120 Calculate the least common multiple of 54 and 351. 702 What is the smallest common multiple of 9 and 15? 45 What is the lowest common multiple of 565 and 1017? 5085 What is the least common multiple of 1
{ "pile_set_name": "DM Mathematics" }
Let n be -8 + 2 - 2*-1. What is z(n)? -9 Let g(x) = -3*x - 3 + 2*x + 6. Let n be (-155)/35 + (-20)/(-14) + -1. Calculate g(n). 7 Let p = -2 - -2. Let t(h) = 2 + 1 + 0 - h + 0. Give t(p). 3 Let t = 12 + -5. Let m(u) = 3 + 2*u + 0 - t*u + 2*u. Determine m(3). -6 Let m(l) = 2*l + 2. Suppose -4*h = 3*p + 11 - 5, 2*p = 4*h + 16. Give m(h). -4 Let t(y) = 3*y + 2 + 3 + y**2 - 6. Calculate t(-4). 3 Let g(m) be the third derivative of -m**5/60 + 5*m**4/24 - m**3 - 12*m**2. Suppose 4*a - 24 = -2*n - 0*n, -5*n + 40 = 5*a. Give g(a). -2 Let g(a) = a**2 - 6*a + 4. Let d = 4 + 1. Calculate g(d). -1 Let i(t) = -t**3 + 5*t**2 - 2*t + 5. Suppose 0 = -o - 0 + 5. Determine i(o). -5 Suppose 5*x = 5*s - 4*s - 14, 4*s - 26 = 5*x. Let g(r) = -2 + 2*r**2 + r**2 - 4*r - s*r**2 + 2*r**2. Determine g(5). 3 Suppose -m = 4*m. Let d(o) = 11*o + 22. Let v be (-28)/(-10) + (-3)/(-15). Let t(w) = -4*w - 7. Let z(j) = v*d(j) + 8*t(j). Give z(m). 10 Let z be 75/(-27) - 6/27. Let u = -3 - z. Let d(k) = k**3 - k**2 - k + 6. Calculate d(u). 6 Let z = -30 + 29. Let n(c) = -3*c**3 - 2*c**2 + 1. What is n(z)? 2 Let s(q) = -q**2 - 1. Let t(h) = h**2 + 1. Let z(r) = -7*s(r) - 6*t(r). Give z(2). 5 Let x(s) = s**2 - 11*s - 10. Let h be x(12). Let v(p) = -p**3 + 2*p**2 + 3*p - 2. Determine v(h). 4 Let x(a) be the second derivative of 7*a**4/12 + a**3/3 + a**2/2 + 7*a. Calculate x(-1). 6 Let d(m) = -m + 6. Let b(q) = q**2 + 6*q + 9. Let j be b(-4). Let h(s) = 2*s - 2. Let y be h(j). Determine d(y). 6 Let f(q) = 3*q**2 + 4*q + 2. Let b(w) = -4*w + 5. Let v(a) = -a + 1. Let m(i) = -b(i) + 3*v(i). Let c be m(0). Calculate f(c). 6 Let v be 38/(-6) + (-2)/(-6). Let i be (v/4)/(2/4). Let z = 8 + i. Let f(u) = -u**3 + 6*u**2 - 4*u - 6. Determine f(z). -1 Suppose 3*d + d + 48 = 0. Let t = -11 - d. Let v(p) = 9*p**3 - p**2. What is v(t)? 8 Let y(d) = -d**3 - 4*d**2 - 5. Let h be y(-4). Let p(k) = 4*k + k**2 - k**3 + 8 - 14 + 8 + 3*k**2 - 8*k**2. What is p(h)? 7 Let v(u) = 5*u**2 - 2*u + 4. Let l be 3/(-6)*-3*4. Let n(w) = 6*w**2 - 3*w + 5. Let c(r) = l*n(r) - 7*v(r). Give c(4). 2 Let s(c) = -8 - c**3 - 1 + 2 + 9*c**2 + c. Give s(9). 2 Let g = 19 - 10. Let w be (-1)/((g/12)/(-3)). Let f(u) = -2*u + 3. Let o(q) = -2*q + 3. Let r(y) = -5*f(y) + 4*o(y). Calculate r(w). 5 Let v be (-1)/(-4) - (-2)/(-8). Let h(m) = -m. Let i be h(v). Let w = i + -3. Let z(a) = -a**3 - 4*a**2 - 4*a. Give z(w). 3 Let h(l) = 0 - 2 - 39*l + 42*l. Determine h(3). 7 Let u = 97 + -97. Let c(a) = -a**2 + a - 10. Give c(u). -10 Let d(k) be the second derivative of -k**3/3 - 4*k**2 + 15*k. What is d(-6)? 4 Let r = 14 + -12. Let w(d) = -5 + 22*d - d**r - 2*d**2 - 16*d + 2*d**2. Give w(5). 0 Let v(y) be the first derivative of y**3/3 - 7*y**2/2 + 5*y + 7. Calculate v(7). 5 Let v(r) = -r**2 - 7*r - 5. Suppose -6 - 9 = -3*g. Let j be -8*(-2 + g/4). Let c = -11 + j. Determine v(c). 5 Let a(g) be the first derivative of g**4/4 - g**3/3 - g**2 - 5. Determine a(-2). -8 Let m be ((-42)/(-7))/(6/8). Suppose -3*n = z - 0 + 4, 2*n + 2*z = -m. Suppose n*b + 1 = b. Let f(i) = 6*i**3. Give f(b). 6 Let t(m) = 2*m**2 - 3*m - 2. Let i = -10 - -8. Determine t(i). 12 Let v be 4 + 1*(1 + 0). Let b(t) = 3*t**2 + v - t**2 - 6*t**2 - t**3. What is b(-4)? 5 Let h(i) be the first derivative of 17*i**2/2 - 38. Calculate h(1). 17 Let r = 106 + -100. Let c(z) = -z + 4. Determine c(r). -2 Let d(g) be the second derivative of -g**5/20 + g**4/4 + g**3/3 + g**2/2 - 2*g. Let a(n) = -n + 7. Let r be a(5). Let c be (r - (-2 + 3)) + 3. Determine d(c). -7 Let l be (-126)/(-33) - (-4)/22. Suppose -1 = d - 3. Let w(s) = -2*s - d*s + 6*s - 1 - 3*s. Determine w(l). -5 Let l(h) be the first derivative of h**4/12 - h**3/6 - h**2/2 - 2. Let v(b) be the second derivative of l(b). Let d be (1*(3 - 6))/((-3)/2). Determine v(d). 3 Let k be -7 + (3 - (2 + -2)). Let s(a) = -a**2 + a + 4. Calculate s(k). -16 Let r = -105 - -112. Let o(m) = m - 9. Give o(r). -2 Let g(z) = 2*z**2 - 6*z - 9. Let u be g(4). Let b(d) = d**3 + 2*d**2 + 2*d + 1. Give b(u). 0 Let q(r) = 1 + 2 + r**3 + r - 4. Suppose 4*y - 5 = 3*h + 4, 0 = -5*y - h - 3. What is q(y)? -1 Let o = -8 + 13. Let s(m) = m - 1. Let k(h) = 1 + 2*h - 3*h + 0*h. Let f(d) = -k(d) - 2*s(d). What is f(o)? -4 Let p(t) = t**3 - 5*t**2 - 6*t - 4. Let a be p(6). Let y = -3 + 7. Let j(m) = m**3 + 4 - 7*m + y*m**2 + m - 9 + 3*m. Give j(a). 7 Let d(i) be the second derivative of i**4/12 + 5*i**3/3 + 9*i**2/2 + 3*i. Give d(-9). 0 Let a(r) = -11*r + 3. Let k be ((11 - 5)/((-3)/2))/(-2). Give a(k). -19 Let d(p) = p**2 - p - 4. Let r be -2*2*15/20. Calculate d(r). 8 Let w(l) = -3*l - 2. Let y be w(-2). Let h be y/(-4*2/(-4)). Let j(i) = 4 - 5*i - 1 + 0 + i**h. Determine j(4). -1 Suppose -7*n = -6*n - 2. Let o(h) = 14*h + 7*h + 1 - h**n - 17*h. Give o(2). 5 Suppose 2*f + 0*u - 3*u + 7 = 0, 2*u - 30 = -5*f. Let r(a) = -3*a**2 + 12*a + 6. Let d(p) = -p**2 + p. Let t(l) = f*d(l) - r(l). Give t(-6). 6 Let k(c) = c - 10 + 0*c + 0*c. Let y be k(7). Let j(d) = d**3 + 3*d**2 + 2*d + 4. What is j(y)? -2 Let v = 20 + -29. Let d = v - -8. Let s(t) = -2*t - 2*t + 0*t. Calculate s(d). 4 Let d(i) = i**2 + 1. Suppose 1 = -w - 1. What is d(w)? 5 Suppose -v + 3*v + 6 = 0. Let i = -3 - v. Suppose -4*j = 3*s - 32, i*s = 2*j - 5*s + 10. Let r(y) = -2*y + 6. Give r(j). -4 Let o(k) = k**2 - 10*k - 16. Let a be o(12). Let g = 8 - a. Let q(i) = i**2 - i + 10. Calculate q(g). 10 Let h = 2 - -2. Suppose 20 = h*x - 0*x. Let q(g) = -2*g**2 + 2*g**2 - g**2 + 5*g - 2. Determine q(x). -2 Suppose 2*g + 3 - 5 = 0. Let f be (-3 - g) + -2 + 2. Let y = -2 - f. Let c(i) = 4*i**2 - 3*i + 2. Calculate c(y). 12 Suppose -2*x - 25 = 3*x. Let f = x + 8. Let a(l) = -l + 5. Calculate a(f). 2 Let h(o) = -o**3 - 8. Let t(d) = -2 + 4 - 4 - 2 + d. Let q be t(4). Determine h(q). -8 Let h = -23 - -19. Let d(c) = -2*c**2 - 6*c - 2. Give d(h). -10 Let p(j) = -j**3 - 4*j**2 - 2*j + 2. Suppose 4*r = -r + 5. Suppose -4*z = -4*u + r + 19, 6 = 3*u. What is p(z)? -1 Let x(c) = -c. Let s(j) = -2*j + 11. Let k be s(8). Give x(k). 5 Let c(v) = v**3 + 4*v**2 + 2*v - 2. Let f(l) = -l**3 - 5*l**2 - 3*l + 2. Let o(b) = 5*c(b) + 4*f(b). Calculate o(-2). -6 Let y(j) be the third derivative of 0*j + 0 - 1/24*j**4 - j**2 - 5/6*j**3. What is y(0)? -5 Let q(z) = z**3 - 3*z - 4. Suppose -5*o + 17 = 4*k, -2*o - 6 + 14 = 2*k. Calculate q(k). 14 Let p(j) = 1 - 3*j**2 - j**3 + 5 + 0 + 3*j - 3. Determine p(-4). 7 Let i = 8 - 9. Let y = 6 + -3. Let n(t) = -5*t + 2. Let u(a) = 6*a - 1. Let s(h) = y*u(h) + 2*n(h). Give s(i). -7 Let k(d) be the third derivative of d**5/30 + d**3/6 - 9*d**2. What is k(2)? 9 Let a(h) = -1. Suppose 2 - 10 = -4*k, -2*n = 5*k - 14. Let f(r) = -r - 10. Let s(c) = n*a(c) - f(c). Give s(-6). 2 Let f(n) = -n + 9. Let w be f(10). Let j be 6/30 - w/(-5). Let l(d) = -d**2 - d. Determine l(j). 0 Let g(a) = -2*a + 1. Let m be g(-1). Suppose -m - 1 = -2*i. Let x = 0 - i. Let t(o) = -o**2 + 2*o + 1. Give t(x). -7 Let h(v) = -36*v - 1 - 6*v**2 + 1 + 41*v + v**3. Determine h(5). 0 Let t(a) = -a**3 + 7*a**2 - 6*a + 8. Let g be t(6). Let u = 13 - g. Let d(c) be the first derivative of -c**3/3 + 3*c**2 + c - 2. Give d(u). 6 Let o(a) = -a**2 + a + 1. Let f(t) = 4*t**2 + 2*t + 3. Let w(d) = f(d) + 3*o(d). Give w(-4). 2 Let y(l) = l**2 + l. Let r(q) = 16*q**3 - 5*q**2 - 7*q. Let c(v) = r(v) + 6*y(v). Let n = 1 - 0. What is c(n)? 16 Let m(q) = -84 + 42 + 43 - 5*q. Determine m(1). -4 Let d(s) = -s**3 - 5*s**2 + 3*s + 5. Suppose 0 = 5*i + x + 21, 0 = 5*i - 4*x - 2 + 43. What is d(i)? -10 Let a(t) = t**3 - 5*t**2 - 2. Let s be (-9)/(-6)*8/6. Let n = 3 + s. Determine a(n). -2 Let a(y) be the first derivative of -y**4/4 + 5*y**3/3 + 7*y**2/2 - 7*y + 35. Let s(o) = -o + 15. Let i be s(9). Determine a(i). -1 Let s(j) = 6*j**3 + 2*j**2 - j. Let h(u) = -4*u - 7. Let y(q) = -5*q - 8. Let v(t) = 6*h(t) - 5*y(t). Let w be v(3). What is s(w)? 7 Let b = -40 + 67. Suppose -3*i + 3*k + 3 = 0, 2*i + 3*k = -i + b. Let s(n) = n**2 + n. Let u(h) = -6*h**2 - h. Let d(r) = -5*s(r) - u(r). What is d(i)? 5 Let i(c) = -2*c + 8. Let z be i(6). Let u(k) = -k**2 - 5*k - 2. Let t be u(z). Let h(x) = 2*x**2 + t - x**3 - 1 + 3 + x. What is h(3)? -2 Let z(a) be the first derivative of -a**5/30 - a**4/6 + a**3/6 - a**2/2 - 2. Let w(j) be the seco
{ "pile_set_name": "DM Mathematics" }
of s and 79/4? 92 Let m = 558383/18 - 31013. Calculate the common denominator of m and -95/16. 144 Let q be 2 + (-3)/((-9)/(-6)). Suppose q = b - 5*h - 36, 5*b - 4*h = 24 + 51. What is the least common multiple of 5 and b? 55 Suppose 2*r = -2*k + r + 133, 63 = k - 3*r. What is the least common multiple of (1 + -2)/((-6)/k) and 5? 55 Let o(z) = z**3 - 4*z**2 - 11*z - 6. Calculate the lowest common multiple of 22 and o(7). 704 Let d = 173/18 + -61/9. Find the common denominator of 1/((-435)/(-80) + -5) and d. 42 Let b = -24 + 14. Let q = b - -16. Calculate the smallest common multiple of q and 7. 42 Let x = -289 + 9631/40. Let s = 11/40 - x. Find the common denominator of s and 65/8. 8 Suppose 3*d = d + 48. Calculate the least common multiple of d and 8. 24 Suppose 6*n - 11*n = 9180. Let q = n + 18343/10. Find the common denominator of q and 27/10. 10 Suppose -6*m + 4*m = -56. What is the lowest common multiple of 14 and m? 28 Suppose -2*h + 25 = 8*p - 3*p, -2*h = -4*p + 20. Suppose 3*b - 7 = -j, 5*j = -h*j - 5*b + 15. Let f = 2 + j. Calculate the least common multiple of f and 5. 15 Let u = 0 - 3. Let v = -21 + u. Calculate the common denominator of 0 + ((-105)/v - 0) and 20. 8 Let m = 12642 + -1213663/96. Find the common denominator of 19/9 and m. 288 Let q(t) = -t + 7. Suppose 0 = 4*i - 0*i - 24. Let b be q(i). Let j(s) = 4*s**3 + s**2 - 1. What is the lowest common multiple of 10 and j(b)? 20 Let f = 24/337 + 14853/4381. Calculate the common denominator of 29/8 and f. 104 Suppose -2*r = -5*x - 1, -r - 3*x = -4 - 2. What is the lowest common multiple of r and (-12)/(-1) - (-17 - -20)? 9 Suppose -3*z - u + 17 = -6, -u = -2*z + 7. Suppose 2*r + 8 = 0, f + 0*r - 22 = 4*r. Suppose -60 = j - f*j. What is the least common multiple of j and z? 12 Let m = 17 + -9. Calculate the smallest common multiple of 17/(-34) + (-52)/(-8) and m. 24 Suppose 6 = -5*j + 3*j + 4*n, -n - 2 = 0. What is the least common multiple of 4 and 2/j - (-520)/56? 36 Let l(h) = 5 - 4*h + 3*h + 2*h. Let w be l(0). Suppose 0 = 3*q - 5*q - 2, -r = -w*q - 10. Calculate the smallest common multiple of 5 and r. 5 Let z = -68/3161199 + -3662046722248/116964363. Let v = -31316 - z. Let j = v - -3535/666. Calculate the common denominator of j and 93/10. 90 Let p(j) = -500*j - 1. Let r be p(-3). Let u = r + -12017/8. Let i = -107933/6444 - 1/1611. Find the common denominator of u and i. 8 Suppose 2*g - 402 = -110. Let y = g - 303/2. Calculate the common denominator of 27/10 and y. 10 Suppose 3*p - 7 = 2*p. What is the least common multiple of p and 5? 35 Calculate the common denominator of 1 - (2916/80)/9 and 47/8. 40 Suppose -92 = -3*s + 268. Find the common denominator of -95/14 and (-1)/3 - (-532)/s. 70 What is the common denominator of -2*(-2)/144*-123 and -97/18? 36 What is the common denominator of -2/33 and (-146)/(-84) - (-32)/(-56)? 66 Let y be -2 - 4/(-2 + 1). Suppose 61 = y*t - 149. Suppose -3*p + 50 = 2*k, -9*k = -4*p - 4*k + t. What is the least common multiple of 4 and p? 20 Calculate the common denominator of -53/30 and ((-2)/(-40))/(4 - (-2740)/(-688)). 30 Let w = 3/196 - -1859/196. Calculate the common denominator of 95/2 and w. 2 Suppose -5*z + 18 = -2*z. Calculate the least common multiple of 34 and z. 102 Let h = -3 - -27. What is the least common multiple of 22 and h/(-20)*-1*10? 132 Let q(t) = 36*t + 12*t**2 - 2*t**3 + t**3 - 37*t + 15. Calculate the lowest common multiple of 4 and q(12). 12 Let c = -13 + 18. Suppose -7*g + 12 = -5*g. Calculate the lowest common multiple of g and c. 30 Let k(v) = 5*v**2 - 2. Suppose 0 = 4*x - 2*x. Suppose 4*p = x, -90 = -5*u + p + p. Calculate the least common multiple of u and k(-2). 18 Suppose -5*c + 4 = 4*t, -3*c - 1 - 5 = t. Suppose 4*w = y + 12, 0 = -w - 3*w + 5*y - 4. What is the smallest common multiple of t and -1 - (-2)/(w/26)? 12 Suppose 5*f + 4*h = 428, -4*h = 2*f - 2*h - 170. Suppose 5*s = -2*u - 27 + 1, -s - f = 4*u. Find the common denominator of (-1*114)/(18/4) and u. 3 Let r(c) = c**3 - 6*c**2 + 5*c - 8. What is the lowest common multiple of r(6) and 40/2 + (-6)/(-3)? 22 Let d = -5 + 7. Let g be (-14)/(-4) + d/(-4). Let a(c) = 5*c - 1. What is the smallest common multiple of a(g) and 12? 84 What is the common denominator of 4/(-6) + 2*64/36 and -67/15? 45 Let c = 7/36 - -227/36. What is the common denominator of -8/3 and c? 6 Suppose 2*w = -2*u + 12, -3*u - w + 14 = -2*w. Suppose 0 = u*p - 48 - 42. What is the lowest common multiple of 12 and p? 36 Let t = 7 + -2. Calculate the smallest common multiple of t and 6. 30 Suppose 2*g = g + 7. Let t = 11 - 2. What is the smallest common multiple of g and t? 63 Let n = -3 - -6. Suppose 4*a = -n*q - 2, -3*q = -2*a + a + 22. Let c(d) = -d + 2. What is the smallest common multiple of 9 and c(q)? 72 Find the common denominator of (-1573)/3630 + 3/4 + -1 and -127/6. 60 Let q = -158/29 - -2983/638. Find the common denominator of q and ((-73)/(-3))/(6/9). 22 Suppose -2*s - 360 = -5*v, 0 = -0*s + 2*s + 10. Calculate the smallest common multiple of v and 4. 140 Suppose -3*o = o + 36. Let p = o + 13. Suppose -2*b + 0*b = -5*s + 60, -70 = -5*s + p*b. What is the lowest common multiple of s and 16? 80 Suppose 9392 = 3*z - z. Let t = -56317/12 + z. What is the common denominator of 67/18 and t? 36 Let h be (0 - 2)*18/(-9). Let g be (10/(-6))/(h/(-72)). Suppose 5*t - 55 - g = 0. Find the common denominator of t and 57/2. 2 Let k = 117 + -802/7. Let g = -8719/1694 - -1/242. Calculate the common denominator of g and k. 7 Let l = 11117/13919 + -11/449. Let f = l + -506/93. Let q = 1226/7 + -1186/7. Calculate the common denominator of f and q. 21 Let t = -13 - -23. What is the least common multiple of 11 and t/4*(-4)/(-10)? 11 Suppose 216 = -0*l - 3*l. Calculate the least common multiple of 8 and l/(-34) - 2/17. 8 Let c be 22 - (-1 - -1)/2. Suppose 3*r - 2*m + 7*m - c = 0, -3*r + 18 = 3*m. Calculate the least common multiple of 2 and r. 4 Let t(k) = k**3 - 5*k**2 + 5*k - 3. Let y be t(4). Let d(z) = 6*z - 34. What is the smallest common multiple of 5 + (1 + y - 1) and d(6)? 6 Suppose -12 = -6*o + 30. What is the lowest common multiple of o and 1? 7 Let l be (-3)/22*3/9. Let y = -94/11 - l. Find the common denominator of 67/2 and y. 2 Calculate the lowest common multiple of 18 and 0 - 1*(-1 - 1). 18 Let g = -4 + 6. Suppose 2*r = 8 - g. Suppose -6 = -3*c - r. Calculate the smallest common multiple of c and 3. 3 Let d(i) = i**2 + 27. Let r be d(0). Suppose -r - 1 = -4*f. What is the least common multiple of f and 1? 7 Let n(i) = 9*i + 26. Let h(y) = -5*y - 13. Let x(j) = -11*h(j) - 6*n(j). What is the smallest common multiple of 8 and x(14)? 8 Let d(c) = -c. Suppose h = 3*h + 12. Calculate the least common multiple of d(h) and 12. 12 Let n be 4*(-4)/6*-75. Calculate the common denominator of -64/9 and n/45 - (-4)/4. 9 Let j = -1/9521 - 1152021/190420. Let z = -3/1352 - -1289/169. Calculate the common denominator of z and j. 40 Let k = -5 + 7. Suppose k*l - 52 = -3*c, -2*l - c + 32 = -3*c. Calculate the smallest common multiple of l and 14. 140 Suppose 0*x + 6 = x. Let d = 9 - x. Calculate the smallest common multiple of d and (0 - -1)*(-1 + 10). 9 Let q(i) = -i**3 + 14*i**2 + 8. Let z be q(14). What is the smallest common multiple of 24 and -2 - -3 - z/(-1)? 72 Let f(y) = -3*y - 2. Let m = 0 - 4. Calculate the least common multiple of f(m) and 5. 10 Suppose 2*a = -4*o - 0*a + 18, -4*a + 8 = o. Calculate the lowest common multiple of 3 and o. 12 Let u(j) = 29*j**2 + 3*j - 2. Calculate the lowest common multiple of u(1) and 30. 30 Suppose -5*r + 14 = -11. Suppose x = 4*k - 0*k - 29, 2*k + 3*x = -3. Suppose -3*i + k + 6 = 0. What is the lowest common multiple of r and i? 20 Suppose 4*a + 5*s + 76 = 0, -75 - 20 = 5*a - 2*s. What is the smallest common multiple of 60 and a/(-3) + (-3)/9? 60 Let s be ((-914)/1127)/((-72)/(-64)). Let p = -3/2254 + s. What is the common denominator of p and -5/6? 18 Suppose -t - t = 4. Let h = t + 4. Let x = 20 - 13. What is the least common multiple of x and h? 14 What is the common denominator of 25/4 and (-4)/10 + (-1)/(60/746)? 12 Suppose -2*r + 15 = 5*b - 505, 0 = -2*r. Let s = -63 + b. Suppose 3*q + 17 = s. What is the lowest common multiple of q and 2? 8 L
{ "pile_set_name": "DM Mathematics" }
? -45, -3, -1, 0 Determine r so that 90*r**4 + 1535*r**3 + 15*r**2 - 1215*r - 425 = 0. -17, -5/9, -1/2, 1 Factor 50*g**3 - 59530*g**2 + 685502*g - 1983078. 2*(g - 1179)*(5*g - 29)**2 Solve -y**2/6 + 113*y/2 + 1745/3 = 0 for y. -10, 349 Factor 3*b**3 + 30306*b**2 + 60603*b + 30300. 3*(b + 1)**2*(b + 10100) Let z**4 + 49*z**3 + 713*z**2 + 2915*z + 2250 = 0. Calculate z. -25, -18, -5, -1 Factor 4*c**2/5 - 8612*c/5. 4*c*(c - 2153)/5 What is r in 4*r**2/7 - 712*r/7 + 7348/7 = 0? 11, 167 Factor -w**2 + 1000*w - 1996. -(w - 998)*(w - 2) Factor d**2 - 32041*d + 32040. (d - 32040)*(d - 1) Suppose p**5/5 - 301*p**4/5 - 6288*p**3/5 - 42052*p**2/5 - 102464*p/5 - 82176/5 = 0. Calculate p. -8, -2, 321 Factor 2*a**2/11 - 15104*a/11 + 28516352/11. 2*(a - 3776)**2/11 Find k, given that -5*k**5 + 3010*k**4 - 47150*k**3 + 158140*k**2 + 47155*k - 161150 = 0. -1, 1, 5, 11, 586 Suppose -2*t**3/3 + 335912*t**2/3 - 14106624224*t/3 + 56410374272 = 0. What is t? 12, 83972 Solve -98*q**5 - 218778*q**4 - 122584288*q**3 - 537986288*q**2 + 337461792*q - 49639840 = 0. -1114, -5, 2/7 Factor -q**4 - 24410*q**3 - 148962025*q**2. -q**2*(q + 12205)**2 Factor 2*i**2 - 2228*i - 113974. 2*(i - 1163)*(i + 49) Let 4*g**3 - 896*g**2 + 43316*g + 793016 = 0. Calculate g. -14, 119 Let -3*z**5 - 213*z**4 + 450*z**3 + 852*z**2 - 1752*z = 0. Calculate z. -73, -2, 0, 2 Factor -3*q**2/2 + 432447*q/2 - 216222. -3*(q - 144148)*(q - 1)/2 Factor -4*s**3 - 556*s**2 + 2864*s - 2304. -4*(s - 4)*(s - 1)*(s + 144) Solve -2*d**3 + 17848*d**2 - 639936*d = 0. 0, 36, 8888 Let -4*l**3 + 1780*l**2 - 195328*l - 602112 = 0. Calculate l. -3, 224 Suppose -9*p**4/4 - 105*p**3/4 + 4601*p**2 - 6097*p + 2028 = 0. Calculate p. -52, 2/3, 39 What is k in k**4/2 - 69662*k**3 + 2426048787*k**2 + 24265712770*k + 121337272225/2 = 0? -5, 69667 Factor 2*m**2/3 + 212*m + 11920/3. 2*(m + 20)*(m + 298)/3 Determine b, given that 5*b**4 - 36*b**3 - 137*b**2 + 1212*b - 1044 = 0. -29/5, 1, 6 Find j such that j**4/5 - 158*j**3/5 - 3513*j**2/5 - 8434*j/5 + 12104/5 = 0. -17, -4, 1, 178 What is a in -18*a**2/11 - 416320*a + 1017672/11 = 0? -254418, 2/9 Solve -16*r**4/17 + 1934*r**3/17 + 5962*r**2/17 - 1934*r/17 - 5946/17 = 0. -3, -1, 1, 991/8 Factor 2*c**2/3 + 46*c/3 - 12376/3. 2*(c - 68)*(c + 91)/3 Factor -2*z**2/11 + 492*z + 16254/11. -2*(z - 2709)*(z + 3)/11 Factor -2*m**2/5 + 188*m/5 + 17214/5. -2*(m - 151)*(m + 57)/5 Solve 2*y**2/3 + 70571*y/3 + 35285/3 = 0. -35285, -1/2 Find y, given that y**2/7 + 208*y/7 - 1065/7 = 0. -213, 5 Factor 4*p**3 + 7620*p**2 + 373500*p + 4637500. 4*(p + 25)**2*(p + 1855) Factor -3*b**4 - 189*b**3 - 2874*b**2 + 3456*b + 6144. -3*(b - 2)*(b + 1)*(b + 32)**2 Find b, given that -14*b**3/3 - 794*b**2/3 + 76*b = 0. -57, 0, 2/7 Let -2*i**2/7 + 4122*i/7 + 62280/7 = 0. What is i? -15, 2076 Factor 11470678*j**4/21 - 8138414*j**3/3 - 639388*j**2/7 - 21464*j/21 - 80/21. 2*(j - 5)*(179*j + 2)**3/21 Let -2*a**2/5 + 10*a + 840 = 0. What is a? -35, 60 Factor 3*a**4 + 12927*a**3 + 12918*a**2 - 25848*a. 3*a*(a - 1)*(a + 2)*(a + 4308) Factor -l**4 - 186*l**3 - 2613*l**2 - 8144*l + 10944. -(l - 1)*(l + 8)**2*(l + 171) What is p in -2*p**4/7 + 4318*p**3/7 - 68606*p**2/7 + 64290*p/7 = 0? 0, 1, 15, 2143 Factor 5*n**3 + 42832*n**2 + 92291780*n + 2406742800. (n + 4270)**2*(5*n + 132) Find i, given that -2*i**2/7 + 22630*i - 475212/7 = 0. 3, 79202 Factor t**4/4 - 2787*t**3/2 - 22309*t**2/4 - 8367*t/2. t*(t - 5578)*(t + 1)*(t + 3)/4 Factor -460*a**3 - 14705*a**2 - 117280*a + 3840. -5*(a + 16)**2*(92*a - 3) Determine w, given that w**4/9 + 8474*w**3/9 + 193844*w**2/3 + 13350902*w/9 + 102263635/9 = 0. -8405, -23 Determine o, given that -2*o**3/21 + 1880*o**2/21 - 146638*o/7 - 295788/7 = 0. -2, 471 Factor 3*y**2/4 + 12366*y + 50972652. 3*(y + 8244)**2/4 Factor 392*r**5 + 12964*r**4 + 286441*r**3/2 + 1063865*r**2/2 + 74899*r/2 + 1331/2. (r + 11)**3*(28*r + 1)**2/2 Factor 5*k**5 - 2375*k**4 + 310500*k**3 + 2430000*k**2 - 1895400000*k. 5*k*(k - 180)**3*(k + 65) Let 45*o**4 - 71550*o**3 + 28441120*o**2 + 7950*o - 3160125 = 0. What is o? -1/3, 1/3, 795 Solve -2*l**3/11 + 4*l**2 + 5462*l/11 - 5504/11 = 0 for l. -43, 1, 64 Factor 5*r**5/2 + 1595*r**4 + 499145*r**3/2 - 1540770*r**2 + 2332890*r. 5*r*(r - 3)**2*(r + 322)**2/2 Suppose 3*s**2 + 8475024*s + 5985502650048 = 0. Calculate s. -1412504 Factor 2*o**5 + 10*o**4 - 16*o**3 - 96*o**2. 2*o**2*(o - 3)*(o + 4)**2 Determine j, given that -20*j**4 - 7152*j**3 + 2884*j**2 + 7152*j - 2864 = 0. -358, -1, 2/5, 1 Solve -32*f**4/13 - 235472*f**3/13 - 432767906*f**2/13 + 1516851756*f/13 - 1327876578/13 = 0 for f. -3681, 7/4 Factor -t**2 + 336*t - 12348. -(t - 294)*(t - 42) Let -z**3 + 1572*z**2 - 1569*z - 3142 = 0. What is z? -1, 2, 1571 What is y in 294*y**4 - 29105*y**3/3 + 106711*y**2 - 391193*y - 1331/3 = 0? -1/882, 11 Factor -2*c**4 - 92*c**3 + 314*c**2 + 980*c. -2*c*(c - 5)*(c + 2)*(c + 49) Find k, given that -3*k**2/4 + 23913*k/4 + 416070 = 0. -69, 8040 Solve -4*w**3/3 + 788*w**2/3 - 11440*w = 0 for w. 0, 65, 132 Factor 2*w**2/15 - 38652*w/5. 2*w*(w - 57978)/15 What is b in 42*b**3 - 172*b**2 + 184*b - 16 = 0? 2/21, 2 Factor -3*z**2 - 294078*z - 7206822507. -3*(z + 49013)**2 What is k in 35565*k**2 + 391205*k - 110 = 0? -11, 2/7113 Factor 2*w**4/15 - 104*w**3/15 + 384*w**2/5. 2*w**2*(w - 36)*(w - 16)/15 Find f such that -3*f**5 + 357*f**4 - 11808*f**3 + 71268*f**2 - 154560*f + 112896 = 0. 2, 3, 56 Determine r so that -r**2/6 - 1837*r/2 = 0. -5511, 0 Factor 3*x**3 + 6750*x**2 - 88167*x + 203670. 3*(x - 10)*(x - 3)*(x + 2263) Find t, given that 44*t**4 - 5708*t**3 - 187592*t**2 - 1413328*t - 371616 = 0. -14, -3/11, 158 Let 2*f**4/9 - 148*f**3/3 + 4294*f**2/9 - 1276*f + 848 = 0. What is f? 1, 3, 6, 212 Factor n**2/10 + 218*n/5 - 21238/5. (n - 82)*(n + 518)/10 Let 61*g**2/6 - 68*g/3 + 14/3 = 0. Calculate g. 14/61, 2 Factor 3*y**4/4 - 11343*y**3/2 - 17019*y**2 - 34041*y/2 - 22695/4. 3*(y - 7565)*(y + 1)**3/4 Solve -41*j**3/3 - 7652*j**2/9 - 10025*j/9 - 832/3 = 0. -2496/41, -1, -1/3 Suppose 64*b**4 + 1284*b**3 + 8080*b**2 + 16500*b + 1000 = 0. What is b? -10, -5, -1/16 Find l, given that -3*l**4 - 20049*l**3 - 33566964*l**2 - 234227460*l - 401120784 = 0. -3338, -4, -3 Solve 2*x**4/3 + 522*x**3 - 7962*x**2 + 43066*x/3 - 6916 = 0. -798, 1, 13 Factor -4*n**3 + 14680*n**2 + 29376*n. -4*n*(n - 3672)*(n + 2) Solve -2*s**2/9 - 4510*s/3 + 13532/9 = 0 for s. -6766, 1 Suppose -4*z**2 - 82384*z - 424195216 = 0. What is z? -10298 Determine c so that -6*c**3 - 286*c**2 - 186*c + 94 = 0. -47, -1, 1/3 Let 2*d**3/15 - 26*d**2/3 - 1480*d/3 + 8000/3 = 0. What is d? -40, 5, 100 Determine j, given that 2*j**2/9 - 256*j - 4616/9 = 0. -2, 1154 Factor -4*v**3 + 1780*v**2 - 230748*v + 6948972. -4*(v - 201)**2*(v - 43) Factor -8*s**2/7 + 170*s/7 + 132/7. -2*(s - 22)*(4*s + 3)/7 Factor -2*k**2 + 21556*k - 107730. -2*(k - 10773)*(k - 5) Find t such that 6*t**3 + 579*t**2 + 5493*t - 31620 = 0. -85, -31/2, 4 Factor -p**2 - 15971*p + 207792. -(p - 13)*(p + 15984) Find n such that 12*n**2/7 + 2724*n/7 + 154587/7 = 0. -227/2 Find f, given that -f**3/4 + 7565*f**2/4 + 7571*f/2 - 15134 = 0. -4, 2, 7567 Factor 2*z**3/15 + 107114*z**2/15 + 1434122566*z/15 - 1434229682/15. 2*(z - 1)*(z + 26779)**2/15 Find s such that -s**4 + 75*s**3 + 235*s**2 - 75*s - 234 = 0. -3, -1, 1, 78 Find w, given that w**2/6 + 4049*w/6 + 67099 = 0. -3947, -102 Suppose 3*t**5 + 5382*t**4 - 92178*t**3 + 331764*t**2 + 635175*t - 880146 = 0. What is t? -1811, -2, 1, 9 What is k in -2*k**5 - 2764*k**4/3 + 27784*k**3/9 - 8656*k**2/3 + 7424*k/9 = 0? -464, 0, 2/3, 2 Factor -3*r**4/8 + 272655*r**3/4 - 8260083225*r**2/2 + 83413073767125*r. -3*r*(r - 60590)**3/8 What is s in s**4/4 - 637*s**3/2 + 7599*s**2/4 + 5713*s/2 - 4438 = 0? -2, 1, 7, 1268 Factor 226845*n**4 - 5666865*n**3 - 106480*n**2 - 500*n. 5*n*(n - 25)*(213*n + 2)**2 Suppose 3*s**2/8 + 8253*s/8 + 85995/4 = 0. What is s? -2730, -21 Let -2*i**3/9 + 1388*i**2/9 - 4150*i + 3996 = 0. Calculate i. 1, 27, 666 Solve 2*u**4/5 + 42*u**3/5 + 76*u**2/5 = 0 for u. -19, -2, 0 Determine x so that 5*x**5 - 365*x**4/4 - 395*x**3/2 + 415*x**2 + 710*x - 200 = 0. -2, 1/4, 2, 20 Let 2*n**4 - 64*n**3 + 258*n**2 + 324*n = 0. What is n? -1, 0, 6, 27 Suppose 3*u**4 + 900*u**3 - 1809*u**2 + 906*u = 0. Calculate u. -302, 0, 1 De
{ "pile_set_name": "DM Mathematics" }
smallest value in -0.3, -5, -9/32, -0.6, -5/6, -2/9, -2/19? -0.3 What is the sixth biggest value in 0.27, 2/5, 4, 2/7, -1/4, 1, 2? 0.27 What is the smallest value in -1/4, 390344, -0.08? -1/4 Which is the third biggest value? (a) -2/5 (b) 1/15 (c) 32 (d) 43 b What is the smallest value in -4/19, 15, -4, 599, -0.1? -4 What is the smallest value in 180, 5, -24, -3, 0, -31, -1? -31 What is the second smallest value in 307, 0.08, -1.7585? 0.08 Which is the second biggest value? (a) 0.04 (b) -421 (c) 173 (d) -4 (e) 2/9 (f) -5 e Which is the fourth biggest value? (a) 7 (b) 3/5 (c) -1/2 (d) 0.1 (e) -0.4 (f) -9.49 (g) 0.4 d What is the third smallest value in -62, 21.05, 1/28? 21.05 Which is the third smallest value? (a) -3/2 (b) 7/9 (c) -129/4 (d) -2/19 (e) -2 a Which is the sixth biggest value? (a) 1/2 (b) 9/17 (c) -2/5 (d) -7 (e) 26 (f) 0.3 (g) 2 c Which is the sixth smallest value? (a) -2 (b) -0.03 (c) 29 (d) -0.1 (e) -5 (f) -11/9 c Which is the fourth smallest value? (a) 2/5 (b) -159 (c) 175 (d) -529 c Which is the fourth biggest value? (a) 0.78 (b) 1/4 (c) 1/34466 (d) 3 c Which is the biggest value? (a) 1/33 (b) 61627 (c) -1/4 b Which is the third biggest value? (a) 41/5 (b) 0.7976 (c) -4/7 c What is the second smallest value in -17.2, 3/4, -864? -17.2 Which is the third smallest value? (a) 1 (b) 1096404 (c) -1/7 b Which is the biggest value? (a) 2/3 (b) 0.1 (c) -4 (d) 5/6 (e) 0.4 (f) 4/21 (g) -140.8 d What is the third biggest value in -145, 2/73, -1/5, 324, 2/17? 2/73 Which is the biggest value? (a) 4/15 (b) -0.3 (c) -5 (d) 0.5 (e) 3635/2 e What is the sixth biggest value in -515/3, 4/3, 4/13, -4, 0, 5509, -1/4? -4 What is the biggest value in 27559, -384, -3? 27559 Which is the third biggest value? (a) -81 (b) -8 (c) 1/20 (d) -0.06 b Which is the second biggest value? (a) 303.99 (b) -117 (c) -0.4 c What is the third smallest value in 0, 0.008, 278, -11.25? 0.008 What is the sixth biggest value in 4, -19/119, 8, 6/11, 3/5, 0.4, -2? -19/119 What is the second smallest value in 8128, 1.7, -15/22? 1.7 Which is the third biggest value? (a) 0.4 (b) 8/5 (c) -7560/11 (d) 2/3 (e) 4 (f) -0.5 d What is the fourth smallest value in 13, 1, -64, -0.14, 1/3, 1/463? 1/3 Which is the second biggest value? (a) 2 (b) 1/274 (c) 4 (d) -5 (e) -9 (f) 0.29 a Which is the fifth smallest value? (a) 1 (b) 2 (c) 9/4 (d) 3/7 (e) 0.5 (f) -2/7 (g) -3/29498 a Which is the smallest value? (a) 1/3 (b) 0.5 (c) 0 (d) -2/821 (e) -1969 e What is the smallest value in 1/11, -39/124, 1/6, 1, -0.452? -0.452 Which is the fourth smallest value? (a) 66 (b) -0.3 (c) 3 (d) -1/4 (e) -324/5 c Which is the second smallest value? (a) 5345 (b) 0.61 (c) 1/5 (d) -1 (e) 0.4 c Which is the third smallest value? (a) 0.01 (b) 3 (c) 0.5 (d) -1/2 (e) -0.1 (f) 0 (g) 333 f What is the third smallest value in 0.01, -0.1, 0.2, -18, 0.3, -2/7, 0.4? -0.1 What is the second biggest value in -4, -3/2, -2, -12/143, 5, 3/4? 3/4 What is the third smallest value in -0.1, -652.5, 2/11, 198? 2/11 What is the biggest value in 55/138, -4, -259? 55/138 Which is the seventh biggest value? (a) 3.1 (b) 3.9 (c) 3 (d) -26 (e) -2/15 (f) -0.1 (g) 4 d What is the third biggest value in 2/13, 3/5, -3/13, -2.481, 1? 2/13 What is the second smallest value in -1, 4/7, -195, -2, -1.349? -2 Which is the second smallest value? (a) -1/5 (b) 0.4 (c) 4 (d) 3 (e) -1006610 a What is the smallest value in 2, -1, 1/4, -27, 5, 102, 2/5? -27 What is the fourth biggest value in -4, -1, 18, -1/3, 109/8? -1 What is the fourth biggest value in 0.15, -2, -257/94, -0.2? -257/94 What is the second biggest value in 271, 5987, -2/3? 271 Which is the second smallest value? (a) -9828 (b) 0 (c) -6.97 c Which is the smallest value? (a) -2398 (b) -88/35 (c) -1/20 a Which is the second smallest value? (a) -15 (b) -1/5 (c) 57761 b What is the second smallest value in 2/7, -27331, -1.2, -0.08, 4? -1.2 What is the smallest value in -6, 4, 14.21146? -6 Which is the second biggest value? (a) 21 (b) -33357 (c) -0.1 c What is the smallest value in 1/4, -0.8, -236.7589? -236.7589 What is the fourth smallest value in 6, -11, 4, -0.4, 0.1, -0.129? 0.1 What is the third biggest value in 0.56, 88, -1, -29? -1 Which is the fourth biggest value? (a) -6 (b) 2/21 (c) -1 (d) -79 (e) 6 (f) -8 (g) 3/5 c What is the biggest value in 2212, -0.02537, -4? 2212 What is the sixth biggest value in 2/31, 1, 0, 2/9, 30, -5, -0.35? -0.35 Which is the third smallest value? (a) 5/3 (b) 8 (c) -1 (d) 0 (e) -0.1 (f) 16.88 (g) -2/19 e What is the second biggest value in -139, -3, -5? -5 What is the fifth biggest value in -287, 20, 0.5, 3/10, -4? -287 Which is the second biggest value? (a) 36/17 (b) -5 (c) -7 (d) 12 (e) -0.006 a What is the biggest value in 9/4, 29, -501? 29 What is the sixth biggest value in 0, -1/2, -2/1923, -1/7, 2/13, -5, 3? -1/2 What is the smallest value in 0.34, -2/9, 425215? -2/9 Which is the fifth biggest value? (a) -9132 (b) 0.2 (c) -61 (d) -0.2 (e) -2/15 a What is the biggest value in -0.4, -1/3, -5, -0.6, -1.9, -11.2? -1/3 What is the fourth smallest value in -5, 2/3, 3603, 2/249, -1, -2/5, -2/7? -2/7 What is the fourth biggest value in 3, -2.7, -2/3, -420, 2/15, -0.05, -7? -2/3 Which is the fifth smallest value? (a) -1/4 (b) -1/3 (c) 3/67 (d) 2/541 (e) -1 (f) -3 d What is the second smallest value in -16/9, -1, -3, -2, 0.3, 3, 31? -2 Which is the biggest value? (a) -0.1324 (b) 5 (c) -7 b What is the fourth biggest value in 19, -0.3, -142/29, -0.03? -142/29 What is the fifth biggest value in 8196, -7, 0.14, 0.2, -3? -7 What is the fourth biggest value in 1/7, -19, -3, -0.4, -7, 0.31? -3 What is the second smallest value in -74328, -2, 0.2? -2 Which is the second biggest value? (a) 26 (b) -0.5 (c) -2 (d) -0.08807 (e) 1 (f) -0.3 e What is the second smallest value in 3, -0.2, 0.1, 3.9, 27/13, -1/7, -10/11? -0.2 What is the fourth smallest value in 3/4, 1/4, -9, -9/5, 48, 0.1, -1? 0.1 Which is the biggest value? (a) 0.2 (b) 4/9 (c) -2 (d) -5 (e) 1707 (f) 2 e Which is the second smallest value? (a) 4 (b) 0.3 (c) 0.4 (d) 2/49 (e) -35877 d What is the sixth biggest value in 1/10, -2/9, 2.5, 14, -1.7, 0? -1.7 What is the smallest value in 0.97, -522, 1/2, 12.3? -522 What is the fifth biggest value in -0.01301, -74/33, -0.1, -0.3, -5/2? -5/2 Which is the fourth smallest value? (a) -2/5 (b) -8 (c) -3/35 (d) 3794/3 d What is the third biggest value in -1563, 0.5, 569? -1563 Which is the second smallest value? (a) 0.1 (b) -0.0012 (c) 4320 a What is the second smallest value in -0.5, 15, -0.04, -555, 0.4, -5, -0.3? -5 Which is the sixth biggest value? (a) -5 (b) -22 (c) -0.19 (d) 16 (e) -1 (f) -2 (g) 2/17 a What is the smallest value in -1823/8, -3, 5, -1/495, -2? -1823/8 What is the second biggest value in 39, -957/2, -0.1? -0.1 What is the second smallest value in 176, 82/5, 0.2? 82/5 Which is the third smallest value? (a) -0.5 (b) -4/7 (c) 0.13 (d) 2 (e) 3 (f) 42963 c What is the second smallest value in 191, 0.4, -52, 5, -0.2? -0.2 Which is the biggest value? (a) 1/185 (b) 4.77 (c) 0.012 b Which is the second smallest value? (a) 2/7 (b) -6/101 (c) -11598 (d) 0.2 b What is the second smallest value in -0.3, -2/11, 0.3, 2, -1901, 20, 3/2? -0.3 Which is the fourth biggest value? (a) -0.01 (b) 1.53 (c) -4/9 (d) 556 c What is the second smallest value in -0.5, 0, 12, -8404, -0.3, -1? -1 What is the second biggest value in -4, -5, -2694/659? -2694/659 Which is the biggest value? (a) -2/11 (b) 141 (c) -2/133 (d) 1 (e) 3 b What is the second smallest value in 0.4, 0.933, -1/3, 1/21, 3, 0.5? 1/21 Which is the smallest value? (a) -8 (b) 1.1 (c) -0.2 (d) -66 d Which is the second biggest value? (a) -3/10 (b) 5067135 (c) 5 (d) 1/4 c What is the third biggest value in -1721, 148, 0.5? -1721 Which is the third smallest value? (a) 0 (b) -1/16 (c) -3506 (d) -2/87 d Which is the fifth biggest value? (a) -273 (b) 3 (c) -2 (d) 3799/6 (e) -0.1 a What is the fourth smallest value in -1, 61/22, 4, -4, 2/3, -0.1, -2/7? -0.1 Which is the biggest value?
{ "pile_set_name": "DM Mathematics" }
4 - 0 - -7) is divided by 92? 91 What is the remainder when 596 is divided by 4/34 - (23195/(-85) + -16)? 18 Let u(f) = f**2 + 14*f + 60. Let n = 404 - 415. Calculate the remainder when u(n) is divided by 18. 9 Suppose -4*d = -4*m + 916, 335 = 3*d + 4*m + 1057. Let b = 256 + d. Calculate the remainder when 55 is divided by b. 11 Let l(o) = 26*o - 687. What is the remainder when l(32) is divided by 10? 5 Suppose 11*p + 24*p = 63*p - 7560. Let z(b) = -b + 24. Calculate the remainder when p is divided by z(7). 15 Suppose 0 = 20*l + 3 + 17. Let j(u) = -46*u**3 - 2*u**2 + 1. Calculate the remainder when j(l) is divided by 1 + -3 + (11 - 2). 3 Let h(i) = -i**3 + 7*i**2 + 2*i - 4. Let d(b) = -b**2 - 504*b + 2055. Calculate the remainder when h(5) is divided by d(4). 10 Let m(a) = 7 - a**2 + 0*a**2 + 12*a**2 - 2*a**3 - 2*a. Let g be m(5). Calculate the remainder when (-396)/(-10)*55/g is divided by 20. 19 What is the remainder when (-145)/(((-36)/(-30) + -1)/((-6)/5)) is divided by 261? 87 Let n = 61 - 43. Suppose -2*q - n + 56 = 0. What is the remainder when 28 is divided by q? 9 Let b = -77 + 156. Suppose 4*k + m = 523, -4*k + m + 69 + 456 = 0. Let y = k - b. What is the remainder when y is divided by 9? 7 Let a = 5 + 5. Suppose -1152*r - 275*r - 1152*r = -520*r - 8236. Calculate the remainder when (10/4)/(1/a) is divided by r. 1 Let c(p) = 10*p + 26. Calculate the remainder when c(14) is divided by 14*(3/(-7))/(30/(-210)). 40 Let g = -6139 + 6865. What is the remainder when g is divided by 167? 58 What is the remainder when (-4389)/(-28) - 2/(-6)*30/40 is divided by 6? 1 Let v = 4368 - 3694. Calculate the remainder when v is divided by 20. 14 What is the remainder when 489 is divided by 9/4*(-9200)/(-690)? 9 Suppose m - 610 = -3*p, -4*m + 277 = 285. Calculate the remainder when 23051 is divided by p. 203 Let x(t) = 2*t + 38. Let r be x(-11). Suppose -r*h = -179 - 253. Let g = -115 - -166. What is the remainder when g is divided by h? 24 Let b be (-84)/12*(-8)/28. Calculate the remainder when (-2)/((12/1278)/(b/(-6))) is divided by 8. 7 Let c = 405 + -392. Suppose w - 165 = 5*b - 1111, 3*b = 4*w + 554. Suppose 5*n - 5 = 0, -h = 4*h + 5*n - b. What is the remainder when h is divided by c? 11 Let p(n) = 2*n**2 - 43*n - 138. Calculate the remainder when (-88)/(-6)*(-15)/(-10) is divided by p(-3). 4 Suppose -3*n = -2*t + 41 + 56, 52 = t - 2*n. What is the remainder when 257 is divided by t? 29 Let a(j) = -5*j**2 - 129 + 32*j + 11*j**2 - j**2 - 4*j**2. Suppose -4*h + 9 = -h. Calculate the remainder when a(-36) is divided by h. 0 Suppose 5*p - 123 = 352. Let h = 14 - 12. Calculate the remainder when p is divided by h + -1 + (-60)/(-4). 15 Let o = 455 - 284. What is the remainder when 368 is divided by 1044/o + 0 + (-8)/76? 2 Suppose 12*o - 7*o = 10. Suppose 5*k - 189 = 336. Calculate the remainder when k is divided by (17 + 1)/(6 + o + -6). 6 Let z(p) be the second derivative of 8*p**4/3 - p**3/6 + p**2/2 - 6*p. What is the remainder when z(-2) is divided by 4? 3 Suppose -17*n = 2331 + 525. Let l = 172 + n. What is the remainder when 26 is divided by l? 2 Suppose 0 = 29*g + 2*g - 341. Suppose -15*d - 5*v = -10*d - 65, d - 5*v = -g. Let i(n) = -9*n + 7. Calculate the remainder when i(-6) is divided by d. 7 Suppose -28 + 8 = -4*r - 3*b, -5*r = 3*b - 22. Suppose -4 = 2*w, 0*w - r*w = -2*g + 80. Calculate the remainder when 87 is divided by g. 11 Suppose 17*c + 88 = 58*c - 35. Let v(o) = o**2 - o - 2. Calculate the remainder when v(-3) is divided by c. 1 Suppose -474*x + 128425 + 160200 = -91997. Calculate the remainder when x is divided by 175. 103 Let l = 12896 + -11345. What is the remainder when l is divided by 11? 0 Let u(f) = -29*f**2 + 7*f**3 - 6*f**3 + 13 + 36*f**2. What is the remainder when 34 is divided by u(-7)? 8 Let g = 116 + -83. Calculate the remainder when (-57)/(-114) + 3*g/2 is divided by 22. 6 Let p(n) = -6*n + 1. Let d be (-2)/12*6*(-232 - -1). Let l = 304 - d. Calculate the remainder when l is divided by p(-3). 16 What is the remainder when (931/1045*22)/(4/250) is divided by 112? 105 Calculate the remainder when 201/18 - (-13)/(-78) - -3117 is divided by 27. 23 Let l(z) = 2*z + 26. Let t be l(-8). Suppose 0 = 6*c - t*c - 236. Let f = c + 76. What is the remainder when 67 is divided by f? 16 Let z(c) = -c**3 - 72*c**2 + 449*c - 1339. Calculate the remainder when 627 is divided by z(-78). 55 Let b(d) = 11*d**2 + 5*d + 221. What is the remainder when 887 is divided by b(0)? 3 What is the remainder when -2 + (79*-40)/(-2) + 0/346 is divided by 86? 30 Suppose 0 = -2*x + 8*x - 564. Let j = -62 + x. Suppose 7*z = y + 2*z - j, 3*z = -5*y + 48. What is the remainder when y is divided by 7? 5 Suppose 44*z - 2774 = 14*z + 4246. Calculate the remainder when 3040 is divided by z. 232 Let t be (-4 + 166 + 0)*14/(-21). What is the remainder when 30 is divided by (6 - (-1 - 0)) + (t - -110)? 3 Let q(z) = -3849*z - 7685. What is the remainder when 141 is divided by q(-2)? 11 Let c = 119 - 133. Let z(a) = a**3 + 14*a**2 + 4*a + 17. Let n be z(c). Let y = n + 64. What is the remainder when y is divided by 7? 4 Suppose d - 373 = -3*d + 159. What is the remainder when 2124 is divided by d? 129 Let v(c) = 2*c**2 + 18*c - 2. What is the remainder when v(4) is divided by ((-45)/63)/(11/(-539))? 32 Let r(a) = -3*a**2 + 3*a + 4. Let f be r(2). What is the remainder when 105/3 + (f - 0) is divided by 11? 0 Suppose -19*b + 909 = -22*b. Let j = b + 519. Suppose -3*l + j = 3*z, -4*l + 352 = l + 3*z. Calculate the remainder when l is divided by 18. 14 Suppose 0*i + 8*i = 992. Let b = 210 - i. Calculate the remainder when b is divided by 24. 14 Let n = 1742 - 1400. What is the remainder when n is divided by 117? 108 Suppose 5*f + 4*n + 59 = 124, 0 = 4*f + 2*n - 58. Calculate the remainder when f is divided by 10. 7 Let m = -139 + 98. Let q = 39 + m. Calculate the remainder when (-17)/4*-14 - (-1)/q is divided by 21. 17 Suppose 4*m = 3*m + 180. What is the remainder when 162 is divided by 1226/30 + 24/m? 39 Let v = -48407 - -48420. Let t(q) = 4*q**2 + 2*q - 2. Let a be t(-2). Let p = 43 - a. Calculate the remainder when p is divided by v. 7 Suppose 5*i - 187 = -a, 4*i + 2*a = 3*i + 41. Suppose 2*d - 4*n - 336 = 0, 5*d - d + 3*n = 738. What is the remainder when d is divided by i? 32 Let u(t) = t**2 + 528*t + 8339. What is the remainder when 685 is divided by u(-16)? 97 Suppose 0 = 7*a + 5*a - 480. Let c = 32 + -13. What is the remainder when a is divided by c? 2 Let h = -15 + 206. Let c = -174 + h. Suppose -8*f + 145 = -3*f. Calculate the remainder when f is divided by c. 12 Suppose -15 = y - 0*p - 3*p, 5*y + p + 59 = 0. Let c be (y + -16)/(2/(-3)). Suppose -b = 3 - c. What is the remainder when b is divided by 8? 7 Let z(n) = 15*n**2 - 337*n + 191. Calculate the remainder when z(23) is divided by 4/6 + (-480)/(-9). 51 Suppose 3*u - 102 = 45. Suppose -3*z + u = g, 6*g = -3*z + 2*g + 43. Let n(r) = r**3 - 12*r**2 - 11*r + 5. Calculate the remainder when n(13) is divided by z. 14 Suppose -128*z + 1087 = -129*z. What is the remainder when z/(-7) + 16/(-56) is divided by 13? 12 Let w = 68 + -71. Calculate the remainder when 77 is divided by 5 + (-2 - -1*(10 - w)). 13 Let j = 8862 - 8387. What is the remainder when j is divided by 101? 71 Let c(g) = g**3 - 12*g**2 + 13*g - 19. Let w be c(11). Suppose 0*p - w*j = 5*p - 308, -j = 3*p - 184. What is the remainder when 115 is divided by p? 54 Suppose 22*g + 7810 = s + 20*g, -3*g + 15 = 0. What is the remainder when s is divided by 99? 98 Suppose 0 = 87*d - 82*d - 35. Suppose -d*q + 263 = 2*y - 12*q, -3*y + 400 = -2*q. What is the remainder when y is divided by (2 - 2) + (-5 - -2) - -26? 19 Let g(x) = x**3 - 24*x**2 + 5*x - 124. Let h be g(24). What is the remainder when 105 is divided by 24 + ((-6)/h)/((-16)/(-32))? 24 Suppose -r - 5*w + 186 = 0, 5*w = 2*r + w - 414. Suppose -6 - r = -9*j. Let h = 6 + j. Calculate the remainder when h is divided by 10. 9 Let l = -110 + 278. Suppose 9*j - l = 6*j. What is the remainder when j is divided by 12? 8 Let c(l) be the third derivative of -5/24*l**4 - 10*l**2 + 1/12*l**5 - 1/6*l**3 + 0*l + 0. What is the remainder when c(3) is divided by 10? 9 Calculate the remainder when (2 + 248)
{ "pile_set_name": "DM Mathematics" }
12692/21 have the same value? False Which is smaller: 0 or 2/155748707? 0 Is -20413172 at most -20413176? False Is -3362774/375 < -8967? True Which is greater: 7674818 or 7674839? 7674839 Is -270 greater than -29039/107? True Which is smaller: 0.844854 or 87? 0.844854 Is 1 smaller than -2/248723627? False Are -63489 and -18038 nonequal? True Is -134877 smaller than -134869? True Do 5929 and 5534 have the same value? False Which is bigger: -3/4 or 7328280? 7328280 Is 150129/545 less than 276? True Which is greater: -473697 or -473883? -473697 Which is smaller: 119651/3061 or 39? 39 Is 369.3 < -15052? False Is 439642/309 at least 1422? True Are 21/154031 and -0.75 non-equal? True Is -1056 equal to -823543/779? False Is 357696 less than 357708? True Is -0.1 > -304783436? True Which is bigger: -37 or -0.074724? -0.074724 Is 1902 equal to 296776? False Which is greater: -11904/33437 or 0? 0 Which is bigger: -553.86736 or 2/7? 2/7 Is -125056390 > -125056387? False Which is smaller: -70/852027 or -1? -1 Is 436362/155 at least 2816? False Do -132977 and 5 have the same value? False Is -56398200 less than or equal to -56398200? True Is 9/14 != -12.973? True Is 1 bigger than 3.7529071? False Are 17748316/7 and 2535474 nonequal? True Which is smaller: -6/529693079 or 0? -6/529693079 Is 248 < -4566? False Are -52916648 and -52916648 nonequal? False Does -384/1039 = -1/529? False Which is smaller: -2081662 or -2082236? -2082236 Are 130.2 and -343276 nonequal? True Which is smaller: 1 or 46/172709? 46/172709 Which is greater: 964270 or 963843? 964270 Is -1820633 at most 9/4? True Is 539133 < 539135? True Which is bigger: -8287100 or 0? 0 Is -0.18 not equal to -3155.51? True Is -545973 less than or equal to -546440? False Is -5552 >= -330.83? False Which is smaller: -6317823 or -4? -6317823 Which is smaller: -3 or -125189/42? -125189/42 Which is greater: 134829/1181 or 113? 134829/1181 Is -1 smaller than -6292/24147? True Are -949835 and -949840 unequal? True Which is smaller: 154487290 or 154487289? 154487289 Which is smaller: -8068364/43 or -187636? -8068364/43 Is 64188/2095 at least as big as 31? False Which is bigger: 4/1678216219 or 0? 4/1678216219 Which is bigger: -879 or -144045/164? -144045/164 Which is smaller: 2187643 or 6562931/3? 2187643 Which is smaller: 0.079807 or 18/7? 0.079807 Is 1 < 69/23515? False Which is smaller: 307356296 or 307356295? 307356295 Which is bigger: 1/28 or 145/12971? 1/28 Which is smaller: -48112296 or -48112297? -48112297 Which is greater: -2823378 or -2823381? -2823378 Which is bigger: 3664417 or 3664143? 3664417 Is 1 <= -43981.312? False Which is bigger: 0 or -22/14662125? 0 Are -128 and -141782 equal? False Which is bigger: -13.3 or 91364/3? 91364/3 Is 3657300 less than 3657299? False Is -25544948 smaller than -25544950? False Is 1 != 20201043? True Which is smaller: 12.3689 or 77? 12.3689 Are 405802969 and 405802970 equal? False Do 87386241 and 1/3 have different values? True Is -1415 >= -516944/365? True Which is smaller: -19572 or -1115630/57? -1115630/57 Which is smaller: -12824715 or -12824714? -12824715 Is 122 less than 30614/251? False Which is greater: -2563014 or -2562934? -2562934 Which is greater: 8571374 or 25714118/3? 8571374 Is -599/1884237 at least -1? True Which is bigger: -179984 or -180639? -179984 Which is smaller: 3401 or 36424? 3401 Does -1 = 3.11888293? False Is 110828353 bigger than 110828351? True Is 12980 >= 438.18? True Is 12.001078 less than or equal to -4? False Is 1/9 <= 87.2234? True Which is bigger: 599956 or 599958? 599958 Are -1502 and -133261 non-equal? True Does 150/203893 = 0? False Which is greater: 0 or 12/87278765? 12/87278765 Which is bigger: -30078 or -1112900/37? -30078 Are -1 and 1/78349974 unequal? True Which is bigger: -204889 or -369? -369 Which is bigger: 783786 or 783792? 783792 Are 2306 and 951 nonequal? True Which is bigger: -236440/7 or -33776? -33776 Is 1/987047606 > 0? True Is 2123526 at least as big as 2123554? False Which is bigger: 2130934 or 41? 2130934 Is -3481190 equal to 2? False Which is smaller: 3064702/7 or 437814? 437814 Which is bigger: 1/22948641 or 0? 1/22948641 Is 1/269826573 greater than or equal to 1? False Which is greater: -2/111 or -35179? -2/111 Is 188730 at least as big as 11/5? True Which is greater: 3023.2295 or 4? 3023.2295 Which is smaller: -362295202 or -362295201? -362295202 Is 7771 less than 7982? True Which is smaller: 634 or 733? 634 Which is smaller: -3511105 or 1? -3511105 Is -330024 < -330053? False Which is smaller: -514737400 or -514737399? -514737400 Is -38384380 greater than -191921898/5? False Is 0 at least as big as 108/227231? False Is -1/524083 greater than or equal to -1? True Which is smaller: 15/1431269 or -1? -1 Is -12420/18211 >= 0? False Which is bigger: -643304 or -643123? -643123 Do -0.262345 and -0.083 have the same value? False Which is greater: 2/23 or -33361? 2/23 Which is smaller: -128389 or -128392? -128392 Which is bigger: 5 or -281778611? 5 Which is greater: 185645/144 or 1288? 185645/144 Which is smaller: -1 or 9/2991511? -1 Does 0.04484126 = 5/12? False Which is bigger: 56 or 1963588? 1963588 Does 668517 = 7353682/11? False Does 10.4 = 16770? False Which is smaller: -1 or -1729/1200? -1729/1200 Is 110925 <= 461? False Is -2211940 != -2211951? True Are 223225 and 6473522/29 equal? False Do -1 and 1/2565941685 have the same value? False Which is smaller: 17/5 or -70/19829? -70/19829 Which is greater: 1 or -1329/16342? 1 Which is smaller: -13787 or -1357? -13787 Which is smaller: 3879 or 201731/52? 3879 Which is smaller: 294118 or 1764707/6? 1764707/6 Are 1 and 481/777887 equal? False Is 225 greater than or equal to 63221/280? False Is 144 < -118/3033? False Which is smaller: -1259 or -413169/328? -413169/328 Is 1 greater than or equal to -10283694? True Is 142653930 > 142653930? False Do 0 and 20/46123589 have the same value? False Which is smaller: -453/1745389 or 0? -453/1745389 Which is smaller: -1 or 19/796067? -1 Which is bigger: -7 or -19378.09? -7 Is -1 at most -251/5791? True Is 372734 less than 0.43? False Which is smaller: 21370/289 or 75? 21370/289 Are 43205 and -2661 unequal? True Which is bigger: -232606 or -233117? -232606 Which is smaller: -183268 or -733075/4? -733075/4 Is -4319389 less than -4319393? False Which is smaller: -2296022 or -2295980? -2296022 Is 0 at least -16/8138957? True Which is bigger: 217650 or 217638? 217650 Is -11.52215 greater than 18/127? False Are 893745 and 893599 equal? False Is 99880324 greater than or equal to 99880322? True Which is bigger: 315302 or -13.15? 315302 Which is bigger: 380453 or -0.4? 380453 Is 110282 smaller than 110365? True Which is smaller: -1040605/18 or -57811? -1040605/18 Is 2443868 > 2443868? False Is -366568 bigger than -366633? True Is -11195 less than or equal to -13327? False Which is smaller: -891274 or -891286? -891286 Which is smaller: 2345811 or 2345830? 2345811 Is -2/33 smaller than -1.427842? False Which is bigger: 5/7 or -81716/41? 5/7 Which is bigger: -10 or -40499/3695? -10 Are 4282379 and 0 non-equal? True Is 23 at most as big as 53951? True Which is smaller: -24266 or -24154? -24266 Which is smaller: -74609 or -73944? -74609 Is 10011918/11 > 910174? True Does 0 = -1723588? False Do -65199.845 and 11/5 have the same value? False Is 20496 equal to -1/16? False Which is smaller: 1/159521910 or 1? 1/159521910 Which is smaller: -8488000 or -8488005? -8488005 Which is smaller: -2/7661 or -8.9747? -8.9747 Which is bigger: -10665 or -6751210/633? -10665 Which is smaller: -20633 or -4931374/239? -4931374/239 Is 3216187 smaller than 3216185? False Is -374855 less than 2? True Is -1/4 > -408332578? True Which is greater: 104 or -0.00115323? 104 Is 528.85 less than or equal to -5659? False Which is smaller: 2/9 or -32253278? -32253278 Which is bigger: -77/3 or -20.30624? -20.30624 Are -491 and 18219 nonequal? True Which is greater: 1 or 19/3977885? 1 Is 29552212/17 greater than 1738364? True Do -95476539 and -95476541 have the same value? False Is 7187/230 not equal to 32? True Is 63806935 less than 63806937? True Are -388467932 and -388467935 equal? False Which is greater: 0.0373 or 41.9? 41.9 Does 252789/28 = 9027? False Which is small
{ "pile_set_name": "DM Mathematics" }
n. -4 Let m(z) = -z**3 + 5*z**2 + 6*z - 11. Let c be m(5). Let o = c - 15. Solve 9 = -2*r - u, -o*r + 5*u - 23 = 2*u for r. -5 Let u(z) = -3*z. Suppose 3 + 3 = 2*t. Suppose 5*m + 2*x + 7 = 0, 1 = -m + t*m - 3*x. Let a be u(m). Solve -3*h + n + a = 0, 0 = -n - 2 - 1 for h. 0 Suppose -3*n + n = 5*j - 6, -3*j - 22 = -2*n. Suppose 5*l + 3*z = n + 6, -26 = -5*l + 3*z. Solve l*a + 21 = -0*a - 5*p, -3*p = -a - 1 for a. -4 Suppose 3 + 6 = 3*m. Suppose -130 = -5*d + 5*b, -2*d + m*b + 58 = 4*b. Solve u + 3*v + 10 = d, 0 = -5*u - v + 20 for u. 3 Suppose 0 = -3*r, -5*d + 35 = 3*r - 7*r. Let m be (d/(-28))/(1/(-20)). Solve 3*q + 3*f = -2*q + 9, -5*q - m*f = -5 for q. 3 Suppose 0 = s + 3*h + 4, 2*s - 5*h - 35 = 12. Let v = s - 4. Solve -2 + 0 = -5*k - 4*z, k + 3*z - v = 0 for k. -2 Let w = 25 - 18. Solve -2*x - 15 = 5*b - w*x, -4*b - 14 = -3*x for b. -5 Let c(s) = s**2 + 7*s + 5. Let g be c(-7). Solve -10 = -5*h - w, g*w - 6 = -3*h - 0*w for h. 2 Let d = 6 - 2. Let q = d + 0. Solve q*f + 1 = 5*j, -f + 4 = -2*j + 2 for j. -3 Suppose 19*w - 221 = 6*w. Solve 3*g - 14 = -4*l + w, 5*g - 45 = -5*l for l. 4 Let d = -19 - -31. Solve 0*p = -2*p + 2*f + 12, -3*p + f = -d for p. 3 Let m be (-3 - (-2 + 0))*-34. Suppose -6*b + m = 2*d - b, 2*d - 26 = -b. Suppose -d = -2*j - 0. Solve 0*k = k - 3*n + 10, -k + n = j for k. -4 Let a(v) = -v**3 + 8*v**2 - 17*v + 6. Let b be a(4). Solve 4*f = -2*u - 20, -3*u = f - b*f + 2 for u. -2 Suppose 3*a - 60 = -a. Let j = -14 + a. Solve 0 = -3*b + n + j, 2 - 19 = -b - 3*n for b. 2 Let z be 10/(-25) + (-17)/(-5) - 0. Solve -5*m + 16 = z*g + 1, -3*m - 3*g + 15 = 0 for m. 0 Let v be -8 + 56/6 + 10/6. Solve v*m - 5*m = -2*p - 16, -5*p - 22 = m for m. 3 Let r(o) = o**2 - 3*o - 14. Let p be r(6). Solve 2*b = -10, -3*w + p*b = -0*w - 5 for w. -5 Let m(w) = w + 14. Let y be m(-11). Solve 4*s = -3*x + 5, -y*x - 2*s + 0*s = 5 for x. -5 Let g = 3 - 7. Let b(j) = -j**2 - 3*j + 1. Let q be b(g). Let c be (-8 - q - -2)*-1. Solve -s = -2*z + z - 2, -s + 6 = -c*z for s. 0 Let b = -90 + 96. Solve l - b*l = -3*v + 25, 0 = 3*l + 4*v - 14 for l. -2 Let n = -4 + 1. Let q be (-4)/((n/39)/1). Let h = q - 28. Solve t = w - 7, 0 = 2*t - 3*w - w + h for t. -2 Let i be (-28)/(-6) + 8/(-12). Solve -3*b = 2*v - 10, 3*b + 0*v - i = v for b. 2 Suppose q = -2*o + 3, -6*q = -5*o - 2*q + 40. Suppose -4*r + 10 = -h, -o*r = -3*h - r + 15. Solve -4*v - h = -2*a, -3*a + 0*a = -2*v - 3 for a. -1 Let v(z) = 2*z + z + z**2 + 13 - 4 + 4*z. Let f be v(-6). Solve -2*c + 0*w = 3*w - 1, -c + f*w + 14 = 0 for c. 5 Let d be 7*(0 - (-6)/7). Suppose d = -n - 2*n. Let o = n + 4. Solve 3 = x + o*h + 1, -3*x + h - 15 = 0 for x. -4 Let v(u) be the first derivative of u**2 + u - 3. Let y be v(7). Let w be ((-8)/(-5))/(6/y). Solve -m - 3*m - 14 = -3*f, 3*m + 14 = w*f for f. 2 Let l be (13 - 3)/((-4)/(-14)). Solve 2*g + 5*d - l = 0, 6*g - 2*d - 5 = 3*g for g. 5 Let s be -6 + 11 - 0/(-2). Solve -5*c = -2*x - s, -4*c + 5*x - 1 = -22 for c. -1 Let k(w) = w**2 + w. Let f be k(1). Solve -r + 4*a + 17 - f = 0, -4*a = -4*r for r. -5 Let o(s) = -s**2 + 5*s + 3. Let l be o(4). Suppose -5*u + l + 3 = 0. Solve -3*r + 3*y = -r + 4, u*y - 9 = -5*r for r. 1 Suppose 5 = -0*k - k + 5*n, -k - 2*n + 9 = 0. Solve 3*d - k*g + 10 = 0, -18 = 3*d + d - 2*g for d. -5 Suppose -5*t + 0*h - 3*h = -15, -4*t - 5*h + 25 = 0. Suppose t = 4*o + o - 15. Suppose -3*r - o = b + 3, 3*r + 9 = 0. Solve c = -b*z, 3*z - 4*c = -0*z for z. 0 Let g be (-2)/10 + (-126)/(-30). Solve -j = -g*t - t - 12, 3*t = -j - 4 for t. -2 Suppose -5 = -17*a + 22*a. Let w be 2*1/2 - a. Solve -3*d + 4*d + 4*h - 13 = 0, -w*h = -6 for d. 1 Let u be 2/24*-3*-12. Solve -3*f + 4*j = -2*f - 23, 5*f - 30 = u*j for f. 3 Let s be 1/(-2) + 9/2. Solve -5*m - 5 = 5*g, -s*g + m - 43 = -19 for g. -5 Suppose 16*o = 14*o. Solve -4 = 4*t - 4*m, 4*t - 2*m + 7 + 3 = o for t. -4 Let i(x) = 3*x - 6. Let g be i(3). Solve 2*p + 30 = -3*p - g*c, -2*p + 2*c = -4 for p. -3 Suppose 5*c + 21 = -g - g, -2*g = 4*c + 16. Solve -10 = -5*p - g*f + 3*f, -5*p - f + 10 = 0 for p. 2 Let m be 9/(-3) + 2 - 2. Let p = m - -3. Solve p*s - 17 = -3*s + 4*b, -3*s - 18 = 3*b for s. -1 Suppose a + 10 = -4*c - 7, 0 = c - 3*a + 14. Let t = c + 5. Suppose -6 = -3*r - 5*j + 15, -5*r = -j - 7. Solve t = -2*i - 5*f - 25, -4*f - 20 = 2*i + r for i. -5 Let m(d) = -d**3 - 6*d**2 + 8*d + 9. Let g be m(-7). Suppose -g*f + 5*x = -25, -5*x - 18 + 3 = 0. Solve -11 = f*s + 2*p, 0*s = -4*s - 5*p - 2 for s. -3 Suppose -3*d = 3*m - 4*d - 12, m - d - 4 = 0. Suppose -3*o - s + 21 - 7 = 0, -15 = -m*o - 5*s. Solve -4*q - 4*l + 1 + 3 = 0, -20 = o*l for q. 5 Suppose -12 + 32 = 4*a. Solve -5*l - 5 = 0, 5*x - a - 5 = 5*l for x. 1 Let r(f) = -f**3 - 4*f**2 + 2*f - 4. Let n be r(-5). Suppose 36 = 4*v - 4*k, 2*v + n = v - 4*k. Solve 4*t + 6*c - c = v, -t = 5*c + 10 for t. 5 Let d(k) = -2*k**3 + 2*k**2 + 4*k + 1. Let g be d(-3). Suppose 3*n - 23 = g. Solve 4*h - 8 = -l + 5*l, 4*l + 5*h = n for l. 2 Suppose -3*g = -0*q + 3*q - 3, -5*g - 25 = -5*q. Let o(t) = 5*t**2 + 3*t + 1. Let c be o(g). Solve c = -4*h + 4*n - 5*n, -2*n = -3*h - 25 for h. -5 Let x(l) = -l. Let f be x(-5). Let b = 9 - f. Let q(m) = m - 3. Let y be q(3). Solve 3*h + 25 = 4*c, -2*h + 2*c - b - 10 = y for h. -3 Suppose 0*h = 2*b + 5*h - 4, 3*b - 6 = 2*h. Suppose b*a = -5*v + 20, -3*a = -v + a - 18. Solve 4*f - 6 = -2*q, -3*q + 5*f + v = 26 for q. -3 Let n be (2 + -10 + 3)/(-1). Suppose n*m - m - 8 = 0. Solve 3*x = m*a - 2*x + 17, 5*a + 11 = 2*x for a. -1 Let c(a) = 3*a**2 + a. Let d(u) = 10*u**2 + 3*u. Let y(r) = 7*c(r) - 2*d(r). Let s be y(-2). Solve 0 = -w - w + 5*q - s, 2*w + q - 10 = 0 for w. 4 Suppose 0 = -3*t - t. Solve 18 = -3*d - k, t*d = -4*d - 4*k - 32 for d. -5 Let t be (-26)/(-6) + (-1)/3. Let a(s) = -s**2 + 2. Let p be a(0). Let c be (-5)/(-2) + (-1)/(-2). Solve 0*q = -c*q + p*g, -3*g = -t*q for q. 0 Let o = 2 + -1. Solve -2*a - 2*h + 3 = -o, 4*a - 5 = -h for a. 1 Let b be 277/9 + 14/63. Let f = b + -19. Suppose 8 = 4*m - f. Solve m*o = -l + 4*l + 2, 9 = 5*l + 4*o for l. 1 Suppose -4*r - 3 = -35. Let m = r + 0. Solve -h - 4*c = -0*c - m, h - 6 = -3*c for h. 0 Suppose 12 = 6*i - 0. Solve -2*r - 41 = i*r - 5*t, -t = 3*r + 7 for r. -4 Let x(q) = -q**3 + 7*q**2 - 1. Let m be x(7). Let i = m + 1. Suppose -6 = -i*z - 2*z. Solve -5*t + 5*p = p + 10, -z*t + 1 = -p for t. 2 Let v = 34 + -29. Let z be 1*(2 - 2 - -5). Solve q - 12 = -z*r, v*r - 2*q + 4*q = 9 for r. 3 Let f(d) = -d**3 + 6*d**2 - 4*d - 2. Let l be f(5). Suppose -q + 1 = b, -2*q + q - 3*b + 1 = 0. Solve -2*s + q = -4*o + 13, 4*o - l*s = 10 for o. 4 Let r = -19 - -19. Solve 2*w + 4*v - 9*v - 3 = 0, 4*w + v - 17 = r for w. 4 Let j(l) = l**2 - 5*l + 5. Let a be j(4). Let o be 1/(12/10 - a). Solve -7 = 2*x - o*g + 3, 5*x + 3*g = 37 for x. 5 Let q be 24/10 + (-2)/5. Solve f + 9 + 7 = 3*o, q*o + 4*f + 8 = 0 for o. 4 Suppose -3*u - z - 3 = -2*u, -3*u = z - 1. Let q = 13 - 13. Solve 5*i = -4*p - u - 7, q = 2*p + 2 for i. -1 Let a = -5 - 0. Let c be -5*1/a*3. Let d = c - -12. Solve 5 + 0 = -3*b + 2*w, b = 4*w - d for b. 1 Let g(r) = -r**3 - 2*r**2 + 8*r + 4. Let a be g(-4). Solve a*f - 1 = 7, 2*f - 3 = -c for c. -1 Suppose 4*w + 2*g = 76, -5*g + 67 = 4*w - 3. Solve -5*d - a - 2*a + w = 0, 3*d + a = 8 for d. 1 Let p(d) = 5*d**3 + d. Let a be p(-1). Let c(y) = -y**2 - 5*y + 8. Let f be c(a). Solve 0 = 2*n + 3*t + 5, -4*t + 24 = -7*n + f*n for n. -4 Let t(z) = -z + 12. Let j be t(7). Solve 3*o + u = 20, -5*o + o + 5*u = j for o. 5 Suppose -3*u + 14 = 2*h, -3*h + 5*u - 4 - 13 = 0. Solve 2*g - 6 = 3*r, -2*r = -g - r + h for g. -3 Suppose -30 = -2*z - 0*z. Let c = 7 - 1. Let t(q) = q - 1. Let f be t(c). Solve 0 = -a + 5*g + f, -7*a + g = -4*a - z for a. 5 Let q be 3 - ((7 - 2) + -4). Suppose -2*n - 5*x + 22 = -0*x, 0 = -3*n - 5*x + 23. Solve 4*i - q*r - 4 = 2, -r = -n for i. 2 Suppose -3*l + 10 = -l. Let d(k) = k**2 - 4*k - 1. Let j be d(l). Let t be 5*(8/10 - 0). Solve j*m = t*p + 8, 2 = 5*m - 4*m + 5*p for m. 2 Suppose 2*l - l + 4*f - 23 = 0, -16 = 3*l - 5*f. Suppose g - 3 - l = 0. Solve -4*b = 3*h + 17, -5*h - 17 - g = 4*b for b. -2 Suppose 0 = 2*d - 5*d + 3. Let k be (-1 - -4 - d) + 0. Suppose 5*o - 12 = k*r, 2*r - 3*o + 4*o = 12. Solve -y + 5*g = 3*y - 37, 3*y - r*g - 29 = 0 for y. 3 Let d = -33 + 3
{ "pile_set_name": "DM Mathematics" }
from lwwnlnlnznnnlnnnn? 1/136 Two letters picked without replacement from jjisjygijiissiysiii. What is prob of picking 1 g and 1 i? 8/171 Three letters picked without replacement from frfzzrrrrzzrx. Give prob of picking 2 f and 1 z. 2/143 What is prob of picking 1 y and 1 t when two letters picked without replacement from ylt? 1/3 Three letters picked without replacement from vttgvg. Give prob of picking 2 t and 1 v. 1/10 What is prob of picking 1 w and 1 n when two letters picked without replacement from pgwgn? 1/10 Calculate prob of picking 2 e and 1 w when three letters picked without replacement from {w: 6, e: 7, o: 4}. 63/340 Two letters picked without replacement from eozewotjzetozteetoe. Give prob of picking 1 w and 1 z. 1/57 What is prob of picking 2 f when two letters picked without replacement from {f: 2, g: 6}? 1/28 What is prob of picking 2 h and 1 k when three letters picked without replacement from {k: 7, h: 2}? 1/12 Three letters picked without replacement from arbbjbabbjajbyaby. Give prob of picking 1 y and 2 a. 3/170 Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {n: 9, m: 10}. 10/19 Two letters picked without replacement from kgmcs. What is prob of picking 1 k and 1 g? 1/10 Two letters picked without replacement from {n: 1, r: 7, l: 5, i: 1, k: 1}. What is prob of picking 1 k and 1 l? 1/21 Two letters picked without replacement from dhnnjplh. What is prob of picking 2 n? 1/28 Calculate prob of picking 1 x, 1 s, and 1 i when three letters picked without replacement from isssjissxisxx. 27/143 Three letters picked without replacement from aozwwnhzo. What is prob of picking 1 o, 1 z, and 1 w? 2/21 Three letters picked without replacement from ffefe. What is prob of picking 2 f and 1 e? 3/5 Two letters picked without replacement from {s: 1, g: 2, d: 1, x: 2, b: 1}. Give prob of picking 2 x. 1/21 Calculate prob of picking 1 u and 3 z when four letters picked without replacement from {v: 1, z: 8, w: 5, x: 2, u: 3}. 14/323 Calculate prob of picking 1 p and 1 z when two letters picked without replacement from ydipzzz. 1/7 Calculate prob of picking 2 h when two letters picked without replacement from hhuuuuuuuuu. 1/55 Three letters picked without replacement from ymfwlfvml. Give prob of picking 1 f, 1 l, and 1 w. 1/21 Two letters picked without replacement from uuuaraaawaurywuuraau. Give prob of picking 1 w and 1 r. 3/95 What is prob of picking 1 o, 1 j, and 2 l when four letters picked without replacement from wslllosllwssttwjlwlt? 7/1615 What is prob of picking 1 k and 3 h when four letters picked without replacement from {s: 3, e: 1, g: 1, h: 3, k: 5, i: 1}? 5/1001 Three letters picked without replacement from {b: 3, a: 4, c: 1, j: 2, f: 6}. What is prob of picking 1 j and 2 b? 3/280 What is prob of picking 1 i, 1 d, and 1 k when three letters picked without replacement from {a: 1, k: 5, d: 1, m: 7, i: 1}? 1/91 What is prob of picking 3 s when three letters picked without replacement from dsddssdsss? 1/6 Calculate prob of picking 1 a and 1 t when two letters picked without replacement from agatatattttataaaaa. 70/153 Three letters picked without replacement from {t: 3, i: 1, h: 1}. What is prob of picking 2 t and 1 i? 3/10 What is prob of picking 1 r and 2 o when three letters picked without replacement from orthhtrothroohhoh? 3/68 Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {k: 1, z: 7}. 1/4 Three letters picked without replacement from jjjjvjjjjjjjjvjjjj. Give prob of picking 2 j and 1 v. 5/17 Four letters picked without replacement from bfjfafabffaf. Give prob of picking 4 f. 1/33 Calculate prob of picking 2 h when two letters picked without replacement from {a: 2, h: 7}. 7/12 What is prob of picking 1 a and 1 z when two letters picked without replacement from {a: 2, x: 2, u: 2, c: 1, z: 4, r: 3}? 8/91 Two letters picked without replacement from {m: 4, c: 15}. Give prob of picking 1 m and 1 c. 20/57 Two letters picked without replacement from ijijjjjjjjjjiiijjjjj. What is prob of picking 1 j and 1 i? 15/38 What is prob of picking 1 i and 1 a when two letters picked without replacement from {v: 6, r: 1, i: 6, u: 4, a: 1}? 2/51 Three letters picked without replacement from {m: 2, b: 10, g: 2}. Give prob of picking 2 m and 1 g. 1/182 Two letters picked without replacement from {h: 1, w: 2, i: 1, s: 1}. What is prob of picking 1 h and 1 w? 1/5 What is prob of picking 1 w and 1 h when two letters picked without replacement from hwhjhhww? 3/7 Calculate prob of picking 3 w and 1 o when four letters picked without replacement from {o: 3, w: 7}. 1/2 Calculate prob of picking 2 m and 1 k when three letters picked without replacement from epymeykm. 1/56 Calculate prob of picking 1 k, 1 q, and 1 t when three letters picked without replacement from {k: 3, j: 3, t: 2, q: 3, z: 2}. 9/143 Two letters picked without replacement from tocob. Give prob of picking 1 t and 1 b. 1/10 Calculate prob of picking 3 k when three letters picked without replacement from kkhkhkhkhkkhhhkhhkkk. 11/76 What is prob of picking 3 h when three letters picked without replacement from hhhhhhhhh? 1 Three letters picked without replacement from {w: 2, l: 1, h: 1, e: 1, x: 1, j: 1}. What is prob of picking 1 j and 2 h? 0 Three letters picked without replacement from {x: 5, d: 1, n: 7}. Give prob of picking 3 n. 35/286 Three letters picked without replacement from {e: 5, x: 7}. Give prob of picking 3 x. 7/44 What is prob of picking 3 z and 1 w when four letters picked without replacement from {z: 8, w: 5}? 56/143 What is prob of picking 2 s when two letters picked without replacement from slglgsjllvgvyvg? 1/105 Three letters picked without replacement from nnrrnrrnnxxnnnrn. What is prob of picking 3 r? 1/56 What is prob of picking 1 q, 1 e, and 1 t when three letters picked without replacement from qmtebeteqqe? 8/55 Two letters picked without replacement from {c: 7, q: 1, u: 2}. What is prob of picking 1 c and 1 u? 14/45 Calculate prob of picking 1 m and 3 u when four letters picked without replacement from ummuu. 2/5 What is prob of picking 1 s, 1 y, and 1 m when three letters picked without replacement from gayssggsmgg? 1/55 Two letters picked without replacement from {d: 6, j: 5, f: 2, h: 2, r: 1, t: 1}. What is prob of picking 1 j and 1 h? 5/68 Four letters picked without replacement from xxxxxxpxppxxxxxxxxxx. Give prob of picking 3 p and 1 x. 1/285 Two letters picked without replacement from {f: 1, k: 2, x: 10, i: 4}. Give prob of picking 1 k and 1 i. 1/17 Four letters picked without replacement from comoojqemjjmqq. Give prob of picking 1 e, 2 j, and 1 c. 3/1001 Calculate prob of picking 2 n when two letters picked without replacement from nnnznznnznnn. 6/11 Four letters picked without replacement from {w: 8, u: 7, d: 3}. Give prob of picking 4 u. 7/612 What is prob of picking 1 u and 1 h when two letters picked without replacement from {i: 3, u: 1, k: 9, f: 1, h: 2, l: 3}? 2/171 Three letters picked without replacement from {g: 2, b: 6, r: 2, k: 3}. Give prob of picking 1 b and 2 r. 3/143 What is prob of picking 2 h and 2 l when four letters picked without replacement from hhlhhlhhhhhlhhlhlh? 13/51 What is prob of picking 2 y and 1 u when three letters picked without replacement from {y: 3, u: 13, i: 4}? 13/380 Two letters picked without replacement from {j: 1, t: 1, m: 3, z: 6, a: 8}. Give prob of picking 1 m and 1 j. 1/57 Three letters picked without replacement from nnkaxanxokttaka. Give prob of picking 1 a and 2 n. 12/455 Two letters picked without replacement from {n: 6, b: 1, p: 1, w: 2, u: 1, h: 5}. Give prob of picking 1 n and 1 b. 1/20 Three letters picked without replacement from {y: 1, b: 1, c: 3, d: 2, w: 3}. Give prob of picking 1 b, 1 d, and 1 c. 1/20 Two letters picked without replacement from sgonigi. Give prob of picking 1 s and 1 n. 1/21 Four letters picked without replacement from {j: 8, u: 2}. Give prob of picking 3 j and 1 u. 8/15 Calculate prob of picking 2 l when two letters picked without replacement from lzwwwllwzlzw. 1/11 Calculate prob of picking 2 a when two letters picked without replacement from {v: 2, w: 4, t: 1, a: 4, c: 3}. 6/91 Calculate prob of p
{ "pile_set_name": "DM Mathematics" }
nder when 553823 is divided by 2145? 413 What is the remainder when 2044 is divided by 723? 598 What is the remainder when 2379175 is divided by 1658? 1603 What is the remainder when 52022 is divided by 7414? 124 Calculate the remainder when 24183 is divided by 635. 53 Calculate the remainder when 147286 is divided by 982. 968 What is the remainder when 405493 is divided by 138? 49 What is the remainder when 10200248 is divided by 2285? 8 Calculate the remainder when 30006 is divided by 2301. 93 What is the remainder when 1243866 is divided by 320? 26 Calculate the remainder when 54513040 is divided by 46. 4 Calculate the remainder when 6032240 is divided by 18792. 8 What is the remainder when 4840628 is divided by 7745? 3 What is the remainder when 874344 is divided by 20? 4 What is the remainder when 2320519 is divided by 1777? 1534 What is the remainder when 154712 is divided by 1663? 53 What is the remainder when 2033552 is divided by 331? 219 Calculate the remainder when 1238429 is divided by 123840. 29 What is the remainder when 147102 is divided by 9800? 102 Calculate the remainder when 30532427 is divided by 935. 2 What is the remainder when 3645315 is divided by 283? 275 What is the remainder when 1025617 is divided by 512709? 199 Calculate the remainder when 6629448 is divided by 6629327. 121 What is the remainder when 8119 is divided by 3732? 655 What is the remainder when 18094878 is divided by 317454? 0 What is the remainder when 28366541 is divided by 491? 489 What is the remainder when 1750571 is divided by 127? 3 Calculate the remainder when 2673837 is divided by 39321. 9 What is the remainder when 131540 is divided by 1359? 1076 Calculate the remainder when 1178640500 is divided by 72. 68 What is the remainder when 107155 is divided by 14941? 2568 What is the remainder when 79972 is divided by 3349? 2945 Calculate the remainder when 901354 is divided by 3539. 2448 What is the remainder when 8146541 is divided by 381? 380 Calculate the remainder when 407050020 is divided by 27. 18 What is the remainder when 1752336594 is divided by 56? 50 Calculate the remainder when 1312225 is divided by 5397. 754 What is the remainder when 4958893 is divided by 1541? 1496 Calculate the remainder when 22558474 is divided by 11279205. 64 Calculate the remainder when 586458 is divided by 586438. 20 What is the remainder when 46733 is divided by 46589? 144 What is the remainder when 212490 is divided by 69919? 2733 What is the remainder when 332379 is divided by 385? 124 What is the remainder when 177694 is divided by 1365? 244 What is the remainder when 5637491 is divided by 311? 305 What is the remainder when 195796058 is divided by 1023? 1019 What is the remainder when 137552 is divided by 67270? 3012 What is the remainder when 101827637 is divided by 581872? 37 Calculate the remainder when 3498 is divided by 1158. 24 What is the remainder when 842618 is divided by 842525? 93 What is the remainder when 2291377 is divided by 26? 23 What is the remainder when 33361594 is divided by 725? 719 Calculate the remainder when 87526 is divided by 4344. 646 What is the remainder when 124908381 is divided by 816? 813 Calculate the remainder when 158547 is divided by 344. 307 Calculate the remainder when 39357 is divided by 1976. 1813 Calculate the remainder when 817149 is divided by 272370. 39 Calculate the remainder when 31215 is divided by 23. 4 Calculate the remainder when 42258 is divided by 13406. 2040 What is the remainder when 315176 is divided by 104623? 1307 Calculate the remainder when 761549 is divided by 2282. 1643 What is the remainder when 191678 is divided by 20997? 2705 Calculate the remainder when 46067 is divided by 1970. 757 What is the remainder when 1066154 is divided by 48458? 78 What is the remainder when 10474727 is divided by 446? 417 What is the remainder when 3174317 is divided by 1885? 1862 Calculate the remainder when 867290 is divided by 509. 463 What is the remainder when 132052 is divided by 1260? 1012 Calculate the remainder when 27449 is divided by 552. 401 What is the remainder when 16611 is divided by 826? 91 Calculate the remainder when 105978968 is divided by 4742. 10 Calculate the remainder when 720370 is divided by 239500. 1870 What is the remainder when 139764384 is divided by 1? 0 What is the remainder when 4486314 is divided by 23863? 70 What is the remainder when 65291 is divided by 1330? 121 What is the remainder when 1398449 is divided by 51? 29 Calculate the remainder when 1388010 is divided by 31535. 470 What is the remainder when 110558 is divided by 4248? 110 Calculate the remainder when 895887 is divided by 686. 657 Calculate the remainder when 224073059 is divided by 2013. 2003 Calculate the remainder when 66206150 is divided by 22068716. 2 What is the remainder when 381154 is divided by 42248? 922 What is the remainder when 1405686 is divided by 468493? 207 Calculate the remainder when 824302 is divided by 12122. 6 Calculate the remainder when 1389672 is divided by 231598. 84 What is the remainder when 730053 is divided by 103? 92 Calculate the remainder when 35578339 is divided by 35. 34 What is the remainder when 665159 is divided by 665142? 17 What is the remainder when 663405185 is divided by 841? 837 What is the remainder when 4488637 is divided by 4? 1 Calculate the remainder when 209471259 is divided by 143. 140 What is the remainder when 1360421 is divided by 42? 41 Calculate the remainder when 1270891 is divided by 6110. 11 What is the remainder when 166350 is divided by 365? 275 What is the remainder when 1454549 is divided by 15? 14 Calculate the remainder when 68035732 is divided by 23. 7 Calculate the remainder when 817472 is divided by 2379. 1475 What is the remainder when 752095 is divided by 545? 540 Calculate the remainder when 752578 is divided by 2058. 1408 What is the remainder when 84891491 is divided by 9? 8 What is the remainder when 178228 is divided by 59185? 673 Calculate the remainder when 151859 is divided by 312. 227 Calculate the remainder when 40743723 is divided by 10. 3 Calculate the remainder when 131216 is divided by 1158. 362 Calculate the remainder when 21078550 is divided by 15. 10 Calculate the remainder when 261532449 is divided by 447064. 9 Calculate the remainder when 2005619 is divided by 3902. 3893 What is the remainder when 646207 is divided by 2585? 2542 What is the remainder when 218900 is divided by 11444? 1464 What is the remainder when 91086 is divided by 18145? 361 What is the remainder when 1876572 is divided by 133? 75 What is the remainder when 1580228 is divided by 36736? 580 Calculate the remainder when 662083 is divided by 99. 70 What is the remainder when 3672 is divided by 1221? 9 What is the remainder when 38477 is divided by 23? 21 Calculate the remainder when 136678316 is divided by 1229. 1226 Calculate the remainder when 14169686 is divided by 1769. 1765 What is the remainder when 17126707 is divided by 4772? 4771 Calculate the remainder when 221125 is divided by 2233. 58 What is the remainder when 4319636 is divided by 1079909? 0 Calculate the remainder when 2322 is divided by 1431. 891 Calculate the remainder when 12786621 is divided by 3196653. 9 Calculate the remainder when 14596960 is divided by 208528. 0 What is the remainder when 1111084 is divided by 55? 29 What is the remainder when 35708984 is divided by 1261? 1247 What is the remainder when 561991538 is divided by 55? 53 What is the remainder when 26942 is divided by 102? 14 What is the remainder when 8035906 is divided by 1147986? 4 Calculate the remainder when 562907 is divided by 3963. 161 Calculate the remainder when 747215 is divided by 1211. 28 Calculate the remainder when 57014147 is divided by 8. 3 Calculate the remainder when 21522 is divided by 978. 6 What is the remainder when 4234652 is divided by 40? 12 Calculate the remainder when 723213 is divided by 76. 73 Calculate the remainder when 78542253 is divided by 217. 188 What is the remainder when 789117 is divided by 2675? 2667 Calculate the remainder when 4781663 is divided by 1195226. 759 Calculate the remainder when 3483806 is divided by 3392. 222 What is the remainder when 14304 is divided by 81? 48 Calculate
{ "pile_set_name": "DM Mathematics" }
+ 0*n**4 + 2*n**5 - 2*n**5 - 2*n**5. -7*n**5 Expand (3*k - k + 0*k)*(-5 + 2*k**3 + 5). 4*k**4 Expand (6*j - j - 3*j)*(-2 - 1 + 5)*(3 - 4 + 0). -4*j Expand (5 - 2 - 4)*(-4 - 1 - 3)*(0*j - 3*j + 2*j)*(2*j - 3 + 3). -16*j**2 Expand (4 + 0 - 6)*(18*i**2 + 39*i**2 - 2766*i + 2766*i). -114*i**2 Expand (6 - 6 - 2*p)*(4 + 0 - 5)*(4 - 2 + 1). 6*p Expand (4 + 0 - 5)*(2*w + w - 5*w)*(4 - 4 - w**2)*(-2*w + 9*w - 4*w). -6*w**4 Expand 0*k**2 + 0*k**2 - k**2 + (2 + 1 - 2)*(-k**2 - 3*k**2 + 2*k**2) - 3*k**2 - 4*k**2 - 2*k**2. -12*k**2 Expand (-1 + 1 + 2)*(-3*o + 2*o + 3*o) - 4*o + 4*o - 2*o - 2 + 2*o + 2 - 3 - 2*o + 0 + 5. 2*o + 2 Expand -m**5 + 3*m**2 - 3*m**2 + (-4*m**2 + 3*m**2 - 3*m**2)*(m**2 - m**3 - m**2) + 2*m**4 - 2*m**4 + 2*m**5. 5*m**5 Expand (-t - 3*t + 3*t)*((1 - 2 + 3)*(-t + 3*t - 4*t) + t - 2 - 2 + 6)*(-15*t - 7*t - 5*t). -81*t**3 + 54*t**2 Expand (-3*g + 4*g + 2*g)*(-1 + 3 - 1)*(2*g**3 + g**4 - 5*g**4 + 3*g**4). -3*g**5 + 6*g**4 Expand (-2 + 6 + 2)*(4*f - 3*f**2 + 2*f**2 - f)*(-2*f**2 + 0*f**2 + f**2). 6*f**4 - 18*f**3 Expand (0*d**2 + 2*d**2 + 0*d**2)*(20 - 5 + 0)*(-d**2 + 2*d**2 - 2*d**2). -30*d**4 Expand x**3 - x**3 + 2*x**4 + (-4*x + 2*x + 0*x)*(6*x**3 - 4*x**3 + 6*x**3). -14*x**4 Expand ((-5 - 27 + 3)*(0*y + 2*y + 0*y) + (-1 - y + 1)*(1 + 0 - 3))*(0 - 1 + 0). 56*y Expand (1 - k**2 - 1)*(2 - 3 + 2) + (-3*k + 3*k + k)*(1 + 6*k - 1 - 4 + 4 - k + (0 + 1 + 0)*(-2 + 2*k + 2)). 6*k**2 Expand (0 - 1 + 5)*(3*h**2 + 2*h**2 - 2*h**2)*(-2*h**3 + 3*h**3 - 3*h**3). -24*h**5 Expand (-4*s + s + 7*s)*(s**3 - s**2 + 0*s**2 + 0*s**3). 4*s**4 - 4*s**3 Expand (11 - 11 + 4*d)*(-2 + 17 - 6). 36*d Expand (-r - 2 + 2)*(-r**4 + r**4 + 3*r**4) + 4*r**2 + 0*r**5 + r**5 - 5*r**2. -2*r**5 - r**2 Expand 2*m**2 + 2*m**2 - 3*m**2 + (m + 0*m + 3*m)*(5*m - 3*m - 5*m). -11*m**2 Expand ((0*p + p + p)*(3*p**2 + 2*p**2 - 3*p**2) + 0*p**2 + 34*p**3 + 0*p**2)*(p - p + p). 38*p**4 Expand (-1 + 4 - 1 + (3 - 3 + 2)*(8 - 1 - 2))*(0 - u + 0). -12*u Expand (2*j + 2*j - 2*j + j - 4*j + 2*j + (-4*j + j + j)*(2 + 5 - 5) + 2*j + 3*j - 4*j + 6*j + 0*j - 2*j)*(-2 + 3 - 3). -4*j Expand -4*u - 3*u + 6*u + (-4 + 3 + 0)*(-2*u - 4 + 4) - 1 + 1 - 2*u + 0*u - 6*u + 3*u + 5 - 2 - u - 4. -5*u - 1 Expand (-1 + 2 + 4)*(-3*b - 2*b + 7*b) + (3 - 2 + 1)*(-b - 2*b + 0*b). 4*b Expand (-2*i + 1 - 1)*(4*i**3 - 2*i**3 - 3*i**3) + (-4 - i + 4)*(-5*i**3 + 0*i**3 + 4*i**3) + (5*i + 0*i - 12*i)*(-i**3 - 2*i**3 + i**3). 17*i**4 Expand (-2*t - 4 + 4 + (-3*t + t + 4*t)*(2 + 0 + 0) + 0 + t + 0)*(-2*t + 11*t + t) - 4*t**2 + 5*t**2 + 0*t**2 + (1 - 1 - t)*(0*t + t + t). 29*t**2 Expand -3*a**5 + 2*a**5 - 2*a**5 + (-4*a**3 + 2*a**3 + a**3)*(a + 2*a**2 - a) + (-4*a + 3*a + 2*a)*(3 + 2 - 3)*(3*a**3 + a**4 - 3*a**3). -3*a**5 Expand (-1 + 2 + 0)*(4*c**3 + 179 - 179 + 11*c**2). 4*c**3 + 11*c**2 Expand (18*g - 40*g - 57*g)*(2 - 3 + 2). -79*g Expand (0*z**3 + 3*z**3 - 5*z**3)*(-5 + 2 + 2) + (-4 + 9 - 4)*(-2*z - 2*z**3 + 2*z)*(-1 + 0 + 3). -2*z**3 Expand (-4*a + 4*a**2 + 4*a)*(-2*a + 2*a + a**3 + (-6*a + 2*a + 3*a)*(0*a**2 + 0*a**2 - 2*a**2) + 7*a**3 + 3 - 3 + 3*a + 3*a**2 - 3*a - a - a**3). 36*a**5 + 12*a**4 - 4*a**3 Expand (-3*k + 3*k - 2*k)*(13 - 20 + 20). -26*k Expand (-1 - t + 1)*(t + t**2 - t) - 2*t**3 + t**3 + 3*t**3 + 4*t**3 - 2*t**3 + 2*t**3. 5*t**3 Expand -4*u - 3*u + 3*u + (0 + 0 - u)*(2 + 0 + 0) + 0*u - 5*u + 4*u - 3*u + 0*u + u + 3*u - 5*u + u + (-1 + 0 + 2)*(-6*u + 2*u + 3*u). -11*u Expand (-n - n + 0*n)*(-2*n**2 - 3*n**3 - n**4 + 0*n**2 + 0*n**2). 2*n**5 + 6*n**4 + 4*n**3 Expand 4*p**5 - 5*p**5 + 0*p**5 + (2*p**2 - 3*p**2 - p**2 + (p + 2 - 2)*(1 - 1 - p))*(-p**2 + p**2 - 2*p**3). 5*p**5 Expand (-3*d**4 + 0 + 0)*(3 - 2 + 0) + 3*d**4 - 2*d**4 - 4*d**4. -6*d**4 Expand 4*c + 2*c**5 - 4*c - 3*c + (0*c**3 + 0*c**3 + 2*c**3)*(6*c**2 + 0*c**2 - 4*c**2) + 2*c - 2*c**5 - 2*c. 4*c**5 - 3*c Expand (-1 + 0 + 3)*(-4*s**3 + 4*s**3 + 10*s**3) - s**3 + s**3 - s**3. 19*s**3 Expand 3*d**5 + 2*d**4 - 2*d**4 + (0*d**4 + d**4 - 2*d**4)*(4 - 10 + 9 - d). 4*d**5 - 3*d**4 Expand (-j**2 + 4*j**2 + 15 - 5*j**2)*(-j + 5 - 5). 2*j**3 - 15*j Expand (3*t + 2*t - 4*t)*(-5 - 1 + 4)*(-3 + 6 + 4). -14*t Expand t**3 + 3*t**3 - 6*t**3 + (0*t**2 - 5*t**2 + 6*t**2)*(2*t - 2 + 2 + (-3 - 2 + 3)*(-2*t + 0*t + 0*t)). 4*t**3 Expand -2*q**2 - q**2 + q**2 + (0 + 2*q + 2 - 13*q)*(q - 6*q + 4*q). 9*q**2 - 2*q Expand (7*s - 6 + 6)*(-2*s + s - s) + 2*s + s**2 - 2*s + 2*s + 3*s**2 - 2*s + (-2*s + 2*s + s)*(5*s - 2*s - s) - 3*s + 3*s + s**2 + 5*s**2 - s**2 - 3*s**2. -6*s**2 Expand ((h - 2*h + 2*h)*(-3*h + 6*h - 2*h) + 5*h**2 - h**2 - 2*h**2)*(0*h - h + 4*h). 9*h**3 Expand -4*h**2 - 2*h**2 + 5*h**2 + (-1 - 2*h + 1)*(-3 + 3 + 4*h) + 3*h**2 + 2 - 2. -6*h**2 Expand (45*m**3 - 114*m**3 + 51*m**3)*(-2*m + 2*m + 2*m**2)*(6 - 1 - 3). -72*m**5 Expand (6*q + 2*q - 5*q)*(0*q + 0*q + q**2). 3*q**3 Expand (-2 + 6 - 2 + (0 - 4 + 2)*(5 - 6 + 3))*(2*x - 4*x - 8*x). 20*x Expand (1 - 1 - q)*(-3*q**2 + 3*q**2 + q**2) + (0 + 4 - 5 + 0 + 4 - 2 + (4 - 1 - 1)*(-3 - 2 + 3) + 3 - 1 - 3 - 2 + 2 - 3)*(3*q - 3*q - 2*q**3). 13*q**3 Expand -15 + 15 - 4*i + (2 + 2*i - 2)*(4 + 1 - 3) + 3*i + 2*i - 3*i + (-3*i - 2*i + 4*i)*(-1 - 3 + 3). 3*i Expand -14*g - 6*g**4 + 14*g + (-2*g + 5*g - 4*g)*(g**3 + 4*g**3 - 2*g**3). -9*g**4 Expand -l**4 - 5*l**2 + 5*l**2 + (3*l - 3*l + 2*l**3)*(2*l + 3 - 3) - l**4 + 0*l + 0*l + l**4 + 3*l**4 - 3*l**4. 3*l**4 Expand (q - 2*q + 2*q)*(13*q - 8*q - 15*q)*(-q**3 + q**3 + 2*q**3). -20*q**5 Expand -1 + 1 - b + 16*b - 6*b + 16*b + (b + 3*b - 2*b)*(1 - 3 + 3) - b + 3 - 3. 26*b Expand (9 - 9*i - 1 - 11)*(4 - 2 - 4). 18*i + 6 Expand (5*t**3 - 3*t**3 + t**3)*(-20*t + 12*t - 13*t)*(-4 + 4 + 1). -63*t**4 Expand (1 + 4 + 0)*(-5*s + 2*s + s + 2*s + 1 - 1 + (1 + 1 - 4)*(s + 3*s - 2*s) - 6*s + 4*s - 2*s). -40*s Expand (2*c**3 + 0 + 0)*(5*c + 2*c**2 - 5*c) + c**5 + 0*c**3 + 0*c**3 + (-4*c**3 + c**3 + 2*c**3)*(-40*c + 40*c + 7*c**2). -2*c**5 Expand (-h**3 + 2*h**2 - 2*h**2)*(-2 + 2 + 2*h)*(-8 + 2 - 12). 36*h**4 Expand 2*c - 20*c + c + (-2*c - 3*c + 3*c)*(-2 - 3 + 3). -13*c Expand (3 - 7 - 7)*(2 - u - u - u). 33*u - 22 Expand (-w + 10*w + 2*w)*(1 + 3*w**3 - 1). 33*w**4 Expand 2 - 2*g**2 - 2 + (4*g + 2*g - 5*g)*(-5*g + 0*g + 3*g) + 2*g + 5*g**2 - 2*g. g**2 Expand (-4*w + 6*w + 3*w)*(-4 - 2 + 2)*(5 - 4 + 0). -20*w Expand (-4*d + 3*d - 3*d + 2 - 2 - 2*d + (0 + 3 - 5)*(4 + 2*d - 4) + 2*d + 0*d - 3*d)*(0*d**2 - 3*d**2 + 2*d**2)*(-d + 6*d - 3*d). 22*d**4 Expand (-13 + 5 - 4)*(0 - 2*i + 0) + 3*i - 6*i + 4*i. 25*i Expand (0*j**2 + 2*j**2 - 3*j**2)*(-4*j + 0*j + 5*j) + (j**3 + 0*j**3 + j**3)*(-3 + 5 + 0). 3*j**3 Expand (q**2 + 0*q**2 - 3*q**2)*(-18 - 28 + 47 - 3*q). 6*q**3 - 2*q**2 Expand (0 + 0 + 2*m)*(2*m**2 - m**2 + 0*m**2) - 176*m**2 + 71*m**3 + 176*m**2. 73*m**3 Expand (-2*l + 3*l + 2*l)*(-5 + 0 + 3)*(-3 + 3 - 2). 12*l Expand (3 - 6 + 1 + l)*(7*l**3 - 28 + 28). 7*l**4 - 14*l**3 Expand d**2 - 411*d - 3*d**2 - 1 + 408*d - 3*d**2 - d**2 + 3*d**2 + (2 - d - 2)*(-d + 5*d - 2*d). -5*d**2 - 3*d - 1 Expand (8 - 4 + 0)*(2*j**3 + 2*j**3 - 5*j**3). -4*j**3 Expand 3*h**5 - 3*h**5 + 2*h**5 + (1 - 1 + h**3)*(-h**2 + 0 + 0) + 2*h**5 + 3*h**2 - 3*h**2. 3*h**5 Expand 4 - 2*r**3 - 4 + (-r + r + r**3)*(4 - 2 - 3) + 4*r**3 - 2*r**3 - r**3 + (-3*r + 4*r + 0*r)*(r**2 - r**2 + r**2) - 9*r**3 + 3*r - 3*r. -10*r**3 Expand -2*h**3 - h**2 + h**2 + (-5 + 3 + 0)*(0*h**3 + 0*h**3 + 7*h**3). -16*h**3 Expand -2*s**5 + 5*s**4 - s**4 - 3*s**4 - 7*s**3 - 2*s**5 + 7*s**3 + (-2*s**2 + 2*s**2 - s**2)*(s - s - s**3). -3*s**5 + s**4 Expand (-2*f**2 + 2*f**2 + 6*f**2)*(-3*f + 3*f - f + (-4*f + 5*f - 2*f)*(-4 + 5 + 0)). -12*f**3 Expand (98 - 141 + 76)*(2 - 6 + 2)*(0*d - 2*d + 4*d)*(0*d**2 + 2*d**2 - 3*d**2). 132*d**3 Expand (-2*c**3 + 0*c + 0*c)*(-1 + 1 + c) - 4*c**4 + 5*c**4 + 0*c**4 + 2*c**3 - 2*c**3 - c**4 + (-2*c**2 + c**2 - 4*c**2)*(4 + c**2 - 4) - c**4 + c**2 - c**2. -8*c**4 Expand (3 - s - 3)*(-1 - 5 - 8). 14*s Expand 0 + 0 - 4*h - h + 2*h + 0*h + (0*h - h + 2*h)*(-2 - 1 + 7) + 2*h + 1 - 1. 3*h Expand (-7*t**3 - 28 + 28)*(0 + 0 + t)*(-4 + 2 + 0). 14*t**4 Expand (l + 0*l - 3*l)*(3*l - l - l) - l**2 + 2*l + 538 - 538. -3*l**2 + 2*l Expand (-h**2 + h**2 + h**3)*(-h - h + 4*h) - 2*h**4 + 0*h**4 + 4*h**4 + (-h**3 - h**3 + 4*h**3)*(1 + 2*h - 1) + h**4 - h**3 + h**3. 9*h**4 Expand (-2*x + 2*x**2 + 2*x)*(-5*x + 0*x + 2*x) + 5*x*
{ "pile_set_name": "DM Mathematics" }
o(a(l)). -200*l**4 + 940*l**2 Let a(p) = 15*p**2 - 4*p + 4. Let c(i) = 63*i**2 - 18*i + 18. Let l(b) = -9*a(b) + 2*c(b). Let t(f) = 86*f. Give l(t(s)). -66564*s**2 Let t(v) = 738*v + 8. Let n(a) = -461*a - 5. Let l(r) = -8*n(r) - 5*t(r). Let j(q) = -7*q**2 + 2*q - 287. Calculate l(j(i)). 14*i**2 - 4*i + 574 Let l(v) be the first derivative of -v**2 - 1. Let x(t) = -157*t. Let m(a) = -79*a. Let z(d) = 7*m(d) - 3*x(d). What is z(l(y))? 164*y Let u(n) = 20*n - 29. Let k(f) = 18*f**2 + f - 22. Determine u(k(y)). 360*y**2 + 20*y - 469 Let m(y) = -2876*y. Let f(b) = -3*b**2 - 14. What is m(f(s))? 8628*s**2 + 40264 Let u(j) = -10*j. Let l(g) = 62*g. Let c(w) = 4*l(w) + 25*u(w). Let m(y) = -59*y**2. Give c(m(q)). 118*q**2 Suppose 146 = 2*n - 130. Let h(b) = 72 + 67 - n + 33*b**2. Let x(u) = 2*u**2. Determine x(h(l)). 2178*l**4 + 132*l**2 + 2 Let r(k) = -2628*k. Let d(a) = -21018*a**2. Give d(r(h)). -145158378912*h**2 Suppose -79 + 130 = o. Let c(p) = -o + 108 - 57 - 14*p. Let w(q) = -13*q. Give w(c(j)). 182*j Let m(a) = a**2. Let g(v) = -20496564*v**2 - 4. What is g(m(o))? -20496564*o**4 - 4 Let y(k) = -221032396*k. Let z(u) = 3*u**2. What is z(y(s))? 146565960244502448*s**2 Suppose -a = -746 + 750. Let w(p) = 9*p + 3. Let o(m) = -10*m - 4. Let s = -2 - 1. Let r(k) = a*w(k) + s*o(k). Let f(g) = 2*g. Determine f(r(n)). -12*n Let m(j) be the first derivative of 0*j - 5/2*j**2 + 4. Let n(f) be the third derivative of f**4/8 + 2*f**2. What is n(m(b))? -15*b Let d(n) = 7*n. Let m(f) be the third derivative of -f**8/1680 + f**5/3 + f**2 + 121. Let s(w) be the third derivative of m(w). Give s(d(a)). -588*a**2 Let t(a) = -660*a. Let r(p) = -p**2 + 2064*p + 5. What is r(t(c))? -435600*c**2 - 1362240*c + 5 Let i(r) = -496061*r**2 + 2*r - 99. Let c(g) = -4*g. Calculate c(i(d)). 1984244*d**2 - 8*d + 396 Let s(a) = -128891*a. Let f(x) = -4196*x. Calculate s(f(i)). 540826636*i Let c(v) = 13*v - 128. Let n be c(10). Let u(b) = -b + 1594*b**2 + b - 1596*b**n. Let x(a) = 196*a. Give u(x(o)). -76832*o**2 Let i(t) = 200664*t. Let m(n) = -18*n**2 + 6. Give m(i(l)). -724788736128*l**2 + 6 Let q be -52*((32 - 23) + 37/(-4)). Let h(g) be the second derivative of 0*g**2 - 20/3*g**3 + q*g + 0. Let f(p) = 2*p. What is f(h(c))? -80*c Let h be 36 - 1/(-4 + 55/15). Let s(g) = 52*g + h*g - 81*g. Let b(v) = 3*v - v + v. Give s(b(t)). 30*t Let f(a) = -7*a + 6242. Let q(u) = 13*u**2 - u. What is f(q(h))? -91*h**2 + 7*h + 6242 Let a(r) = 18720620*r**2. Let q(t) = t**2. Give q(a(u)). 350461613184400*u**4 Let d(p) = -6*p**2. Suppose -5*m = -15*s + 14*s - 21, 5*s + 13 = 2*m. Let a(l) = -4 + m - 56*l + 63*l. Calculate a(d(z)). -42*z**2 Let k(a) be the third derivative of 17*a**5/60 - 1053*a**2. Let w(d) = -142*d**2. Calculate w(k(u)). -41038*u**4 Let b(r) = r**2. Suppose -6*g = 329 - 335. Let h(l) = 6*l + 5*l + 89*l + 10*l + g. What is b(h(u))? 12100*u**2 + 220*u + 1 Let p(i) = 4*i**2 + 0*i**2 - 2*i**2. Let a(z) = -585*z**2 + 286*z + 286. Let w(k) = -4*k**2 + 2*k + 2. Let h(b) = -2*a(b) + 286*w(b). Give p(h(f)). 1352*f**4 Let b(k) be the third derivative of 0 + 0*k - 73*k**2 + 1/8*k**4 - k**3. Let v(a) = a**2. Determine v(b(p)). 9*p**2 - 36*p + 36 Let b be (5/(-10))/((-2)/408) - 2. Let p = 168 - b. Let x(l) = 9*l - p + 68. Let r(s) = -s. What is r(x(z))? -9*z Let f(m) be the third derivative of 2*m**5/15 + 242*m**2. Let q(w) = w**2 + w + 1. Let n(j) = 3*j**2 + 6*j + 6. Let u(p) = -3*n(p) + 18*q(p). What is f(u(x))? 648*x**4 Let t(u) = -12*u. Let g be (-10)/2*(-4 - 54/(-15)). Let x(h) = 4*h**2 + 3*h**2 - 3*h**g + 2*h**2 - 3*h**2. Calculate t(x(r)). -36*r**2 Let z(s) = -2*s**3 + 9*s**2 - 4*s + 7. Let a be z(4). Let k(i) = 0 + i + 7 - a. Let d(f) = -2*f. Let n(c) = 2*d(c) + 3*k(c). Let t(p) = 7*p**2. Give n(t(v)). -7*v**2 Let s(v) = -6*v**2 - 2*v - 77952. Let l(h) = h. Determine s(l(g)). -6*g**2 - 2*g - 77952 Let t(x) = 206605*x + 3. Let f(m) = -m. What is f(t(q))? -206605*q - 3 Let t(i) = 9*i**2. Let z = -69 + -5. Let u = z - -78. Let g(h) = u*h**2 - 2580*h + h**2 + 2580*h. What is t(g(k))? 225*k**4 Let u(h) = -602*h**2. Let n(c) = -4798*c. Determine u(n(a)). -13858524008*a**2 Let c(f) = -214929*f. Let w(v) = -36*v. What is c(w(h))? 7737444*h Let i(b) be the first derivative of 19*b**2/2 + 5. Let a(l) be the third derivative of -5*l**4/24 - 1249*l**2. Calculate a(i(x)). -95*x Let d(z) = 32*z**2 + 3*z - 6. Let o be 2/(-4) + 25/(-10). Let f(v) = 33*v**2 + 4*v - 8. Let l(u) = o*f(u) + 4*d(u). Let q(r) = -7*r. Give l(q(t)). 1421*t**2 Let s(j) = -23*j**2. Let o = -89 - -93. Suppose 0 = -2*k - 2*x + 16, -2*k + o*x + 2 = -2. Let r(h) = -4*h + h + k*h - 5*h. Give s(r(b)). -92*b**2 Let l(h) = 462*h**2 + 465*h**2 - 914*h**2. Let b(i) = -i**2 - 3*i**2 + 0*i**2. Calculate l(b(w)). 208*w**4 Let l(f) be the first derivative of -5*f**3/3 + 1665. Let t(p) = -238*p. Determine l(t(s)). -283220*s**2 Let q(t) be the first derivative of -t**3/3 + 1. Let n(r) = -r**2 + 19*r - 66. Let m be n(12). Let i(b) = -23*b + m*b + 7*b. Give i(q(c)). -2*c**2 Let z(l) = l**2. Let m(g) = 37*g + 46. Let d(h) = 77*h + 78. Let b(x) = 3*d(x) - 5*m(x). Give z(b(u)). 2116*u**2 + 368*u + 16 Let s(p) = -2*p. Let c(y) = 65*y**2 + 846385. What is s(c(o))? -130*o**2 - 1692770 Let a(s) be the third derivative of s**6/360 + 5*s**4 + 29*s**2. Let v(y) be the second derivative of a(y). Let z(f) = 0*f**2 - 2*f**2 - 3*f**2. Give z(v(b)). -20*b**2 Let b(x) = -16*x. Let f(z) = 196*z - 4 - 227*z + 2 + 0. Calculate b(f(o)). 496*o + 32 Let g(a) = -98*a + 4. Let b(y) = 3098*y + 3. Give b(g(s)). -303604*s + 12395 Let u(g) = 142*g - 613. Let a(i) = 2*i - 440. What is u(a(y))? 284*y - 63093 Let l(k) = -2479*k**2. Let d(n) = -22903*n - 22910*n + 45814*n. What is d(l(o))? -2479*o**2 Let y(m) = m. Let j(o) = -26286*o + 340. Let a(x) = 197144*x - 2584. Let h(d) = 5*a(d) + 38*j(d). Calculate h(y(g)). -13148*g Let b(h) be the third derivative of h**7/420 - 7*h**5/15 - h**2 + 53*h. Let g(k) be the third derivative of b(k). Let d(l) = 4*l. What is d(g(u))? 48*u Let j(d) = -18*d**2 - 3. Let g(o) = 1167*o - 6. What is g(j(t))? -21006*t**2 - 3507 Let v(k) = -k**2 - 1433. Let s(m) = -324*m. Determine s(v(g)). 324*g**2 + 464292 Let z(x) = 80*x**2 + 3. Let g(m) = -17850*m. Calculate z(g(f)). 25489800000*f**2 + 3 Let y(s) = -31*s**2. Let q(z) = 1326*z**2 + 91*z - 546. Let x(m) = -117*m**2 - 8*m + 48. Let b(d) = -8*q(d) - 91*x(d). Determine b(y(r)). 37479*r**4 Let j(d) = d + 10. Let r(o) = -14948*o. Determine j(r(z)). -14948*z + 10 Let o(i) = -i + 5400. Let g(s) = -s**2 + 5934*s. What is g(o(l))? -l**2 + 4866*l + 2883600 Let v(j) = -15228*j. Let y(h) be the third derivative of -h**5/30 + 6024*h**2. What is y(v(r))? -463783968*r**2 Let y(g) be the first derivative of 73*g**2/2 + 1120. Let f(i) = 9*i. Calculate f(y(q)). 657*q Let y(f) = -259*f. Let g(s) = 841*s**2 + 2*s - 1. Determine g(y(q)). 56415121*q**2 - 518*q - 1 Let g(v) = -23*v - 174. Let k(j) = 19*j + 145. Let t(b) = 5*g(b) + 6*k(b). Let u(r) be the third derivative of -2*r**5/5 + 2*r**2. What is u(t(x))? -24*x**2 Let a(c) = 74*c**2 - c + 7451. Let l(m) = 2*m**2. What is a(l(p))? 296*p**4 - 2*p**2 + 7451 Let o(l) = 4*l. Let r(a) be the second derivative of -a**4/6 + 479*a**3/6 + 34*a + 7. Determine r(o(q)). -32*q**2 + 1916*q Let c(x) = 191*x - 5. Let v(u) = -8308*u + 217. Suppose -10 = -17*z + 19*z. Let j(t) = z*v(t) - 217*c(t). Let h(m) = m. What is j(h(y))? 93*y Let q(y) = 49*y - 30*y - 18*y. Let j(v) = -672*v**2. What is j(q(w))? -672*w**2 Let y be ((-1)/(-1))/(18/1386*11). Let o be 1 + (2 + -1 - 0). Let g(t) = -2 + y*t + 9*t + o. Let s(q) = 2*q. Calculate s(g(a)). 32*a Let j(d) be the second derivative of 4*d**4/3 + 33*d. Let w(o) = -o**2 - 3*o. Let t(q) = 4*q**2 + 10*q. Let v(g) = 3*t(g) + 10*w(g). Calculate j(v(f)). 64*f**4 Let q(x) = -601*x**2. Let p(c) = -28774*c**2. Calculate p(q(f)). -10393197574*f**4 Let l(x) be the third derivative of -x**5/15 + x**2. Let j = 163 + -161. Let c(b) = 0*b**j + 0*b**2 - 3*b**2 - 5*b**2. Determine c(l(f)). -128*f**4 Let b(p) = -2*p. Let v(j) = j**2 - 4113937. Give b(v(n)). -2*n**2 + 8227874 Let g(t) = 8*t. Let h be (-15)/(-4 - -1)*3. Let d(k) = 5 + h*k - 8 + 3. Determine d(g(o)). 120*o Let r(m) = -19*m**2. Let t(n) be the second derivative of 41*n**4/12 + 170*n. W
{ "pile_set_name": "DM Mathematics" }
91 What are the prime factors of 621540? 2, 3, 5, 1151 What are the prime factors of 58785? 3, 5, 3919 List the prime factors of 6904948. 2, 1726237 What are the prime factors of 253353? 3, 79, 1069 List the prime factors of 90216. 2, 3, 7, 179 What are the prime factors of 65962? 2, 13, 43, 59 List the prime factors of 6207925. 5, 248317 List the prime factors of 1060702. 2, 59, 89, 101 List the prime factors of 3960184. 2, 17, 37, 787 List the prime factors of 942815. 5, 188563 List the prime factors of 1134974. 2, 567487 List the prime factors of 64011. 3, 19, 1123 What are the prime factors of 4043729? 4043729 List the prime factors of 297196. 2, 191, 389 What are the prime factors of 2265247? 23, 149, 661 What are the prime factors of 208910? 2, 5, 13, 1607 List the prime factors of 228831. 3, 83, 919 What are the prime factors of 22382430? 2, 3, 5, 7, 53, 2011 List the prime factors of 3121466. 2, 1560733 List the prime factors of 1283776. 2, 13, 1543 List the prime factors of 1254317. 1254317 What are the prime factors of 631486? 2, 315743 What are the prime factors of 614859? 3, 7, 19, 23, 67 What are the prime factors of 422144? 2, 17, 97 List the prime factors of 966875. 5, 7, 13, 17 List the prime factors of 122042. 2, 139, 439 List the prime factors of 1552325. 5, 31, 2003 What are the prime factors of 9831793? 2927, 3359 What are the prime factors of 1856726? 2, 41, 22643 What are the prime factors of 1324387? 1324387 List the prime factors of 2838738. 2, 3, 7, 67589 List the prime factors of 467746. 2, 271, 863 What are the prime factors of 427939? 427939 What are the prime factors of 761392? 2, 23, 2069 List the prime factors of 16819517. 11, 13, 117619 List the prime factors of 3287243. 223, 14741 What are the prime factors of 10955801? 103, 106367 What are the prime factors of 1505101? 13, 115777 List the prime factors of 1979410. 2, 5, 131, 1511 List the prime factors of 2513500. 2, 5, 11, 457 What are the prime factors of 495758? 2, 247879 List the prime factors of 464453. 11, 42223 List the prime factors of 14004874. 2, 13, 538649 What are the prime factors of 5345165? 5, 7, 21817 List the prime factors of 295585. 5, 31, 1907 What are the prime factors of 11802310? 2, 5, 13, 90787 What are the prime factors of 1839955? 5, 13, 28307 List the prime factors of 59000. 2, 5, 59 List the prime factors of 90624. 2, 3, 59 List the prime factors of 76402. 2, 38201 What are the prime factors of 10053168? 2, 3, 209441 List the prime factors of 12782104. 2, 1597763 What are the prime factors of 47373? 3, 15791 List the prime factors of 238807. 47, 5081 What are the prime factors of 71641? 31, 2311 What are the prime factors of 14734693? 1171, 12583 What are the prime factors of 167084? 2, 41771 What are the prime factors of 4396289? 23, 191143 List the prime factors of 9119230. 2, 5, 383, 2381 What are the prime factors of 1297928? 2, 19, 8539 List the prime factors of 2864452. 2, 811, 883 List the prime factors of 255624. 2, 3, 10651 What are the prime factors of 2429936? 2, 151871 List the prime factors of 2773088. 2, 19, 4561 List the prime factors of 333749. 13, 25673 What are the prime factors of 277804? 2, 199, 349 List the prime factors of 18229854. 2, 3, 19, 159911 List the prime factors of 4394183. 4394183 List the prime factors of 165107. 41, 4027 What are the prime factors of 3931160? 2, 5, 23, 4273 What are the prime factors of 1977247? 239, 8273 List the prime factors of 21705264. 2, 3, 7, 61, 353 List the prime factors of 36792719. 149, 246931 List the prime factors of 7458829. 7, 29, 181 List the prime factors of 2767399. 191, 14489 What are the prime factors of 8066039? 8066039 List the prime factors of 1681249. 17, 98897 What are the prime factors of 1856779? 61, 499 List the prime factors of 694217. 163, 4259 List the prime factors of 1819224. 2, 3, 11, 2297 What are the prime factors of 192742? 2, 11, 8761 List the prime factors of 5772034. 2, 23, 179, 701 List the prime factors of 1301535. 3, 5, 31, 311 What are the prime factors of 408218? 2, 401, 509 What are the prime factors of 304588? 2, 76147 List the prime factors of 1066715. 5, 13, 16411 What are the prime factors of 457869? 3, 152623 List the prime factors of 3547194. 2, 3, 7, 84457 What are the prime factors of 6505509? 3, 17, 199, 641 List the prime factors of 176775. 3, 5, 2357 What are the prime factors of 2634407? 19, 61, 2273 What are the prime factors of 186497? 283, 659 List the prime factors of 185594. 2, 71, 1307 List the prime factors of 549412. 2, 137353 List the prime factors of 4745304. 2, 3, 2441 What are the prime factors of 233877? 3, 7, 37, 43 List the prime factors of 2085821. 487, 4283 List the prime factors of 3457523. 31, 111533 What are the prime factors of 16491852? 2, 3, 13, 131, 269 What are the prime factors of 12222510? 2, 3, 5, 19, 41, 523 What are the prime factors of 4508191? 37, 121843 List the prime factors of 86523. 3, 151, 191 List the prime factors of 615512. 2, 47, 1637 What are the prime factors of 24275136? 2, 3, 126433 List the prime factors of 152796. 2, 3, 7, 17, 107 List the prime factors of 4483816. 2, 560477 What are the prime factors of 293507? 293507 What are the prime factors of 488196? 2, 3, 71, 191 List the prime factors of 173294. 2, 11, 7877 What are the prime factors of 420649? 401, 1049 List the prime factors of 8088498. 2, 3, 11, 17, 89 What are the prime factors of 52538? 2, 109, 241 List the prime factors of 85358. 2, 7, 13, 67 What are the prime factors of 2190478? 2, 1095239 What are the prime factors of 7285183? 461, 15803 List the prime factors of 54855. 3, 5, 23, 53 What are the prime factors of 2845277? 29, 41, 2393 What are the prime factors of 2299470? 2, 3, 5, 76649 List the prime factors of 1401437. 1401437 What are the prime factors of 9489458? 2, 11, 431339 List the prime factors of 276570. 2, 3, 5, 7, 439 What are the prime factors of 9922421? 97, 102293 List the prime factors of 327851. 327851 List the prime factors of 6900624. 2, 3, 173, 277 List the prime factors of 1957446. 2, 3, 43, 281 What are the prime factors of 1409920? 2, 5, 2203 What are the prime factors of 4447448? 2, 555931 List the prime factors of 1129606. 2, 277, 2039 What are the prime factors of 4509463? 7, 499, 1291 What are the prime factors of 194682? 2, 3, 71, 457 List the prime factors of 20008062. 2, 3, 1111559 List the prime factors of 20954840. 2, 5, 23, 22777 What are the prime factors of 4987708? 2, 11, 113357 What are the prime factors of 621585? 3, 5, 19, 727 What are the prime factors of 219515? 5, 43, 1021 List the prime factors of 258290. 2, 5, 23, 1123 What are the prime factors of 3118124? 2, 779531 What are the prime factors of 640374? 2, 3, 7, 79, 193 What are the prime factors of 191367? 3, 11, 1933 What are the prime factors of 3738384? 2, 3, 13, 1997 List the prime factors of 294712. 2, 11, 17, 197 List the prime factors of 10692292. 2, 13, 15817 List the prime factors of 851277. 3, 7, 5791 List the prime factors of 23565. 3, 5, 1571 What are the prime factors of 23141678? 2, 7, 97, 17041 List the prime factors of 1713114. 2, 3, 13, 7321 What are the prime factors of 911369? 31, 29399 List the prime factors of 1893193. 1893193 List the prime factors of 4151853. 3, 461317 What are the prime factors of 11475791? 19, 603989 What are the prime factors of 454766? 2, 13, 17491 List the prime factors of 358635. 3, 5, 23909 What are the prime factors of 4307544? 2, 3, 29, 2063 List the prime factors of 11834718. 2, 3, 7, 43, 6553 List the prime factors of 81060. 2, 3, 5, 7, 193 List the prime factors of 5521504. 2, 109, 1583 What are the prime factors of 8415398? 2, 571, 7369 What are the prime factors of 908915? 5, 7, 25969 List the prime factors of 6459612. 2, 3, 538301 What are the prime factors of 353334? 2, 3, 58889 List the prime factors of 7559444. 2, 683, 2767 List the prime factors of 460960. 2, 5, 43, 67 List the prime factors of 465714. 2, 3, 25873 List the prime factors of 118848. 2, 3, 619 List the prime factors of 1742390. 2, 5, 13, 1031 List the prime factors of 831785. 5, 166357 What are the prime factors of 3105? 3, 5, 23 What are the prime factors of 216039? 3, 23, 31, 101 List the
{ "pile_set_name": "DM Mathematics" }
is the value of ((-9)/(-6))/(726/(-88))? -2/11 What is the value of (-6)/(-2*(-9)/(-12) - -3)? -4 Evaluate 27*((-1)/(-7))/(78/(-182)). -9 Calculate (-2 - -4)*(-15)/(-10). 3 What is the value of (670/(-268))/((-5)/(-2))? -1 1 + (-2 - 1) + -4 -6 What is (-2)/(45*(-3 - -7)/12)? -2/15 Evaluate (-3)/(-14) + 2/7. 1/2 What is (-14 - 366/(-30))*10/(-6)? 3 What is the value of 2/3 - (28/6)/1? -4 What is the value of 75/(-10) - 3*-3? 3/2 (-1)/(1 - (-1)/(-2)) -2 Evaluate (-1 + 0)/(-1)*(-102 + 97). -5 What is the value of 2*((-3)/2 + -1)? -5 Evaluate -1 - 40/18 - 592/(-2664). -3 What is ((-1)/2*4)/(-4)? 1/2 Evaluate (-1 - 0)*-5*(-47)/47. -5 Evaluate ((-80)/(-120))/(-2 + (0 - 2)). -1/6 (-52)/105 + (-8)/(-100)*5 -2/21 Evaluate 8/(-36) + (-13)/(-18). 1/2 (-14)/14 + -12 - -10 -3 9/21 - 897/(-161) 6 Calculate (-136)/(-28)*1 + -4. 6/7 What is (1 + -1 + -6)/(27/18)? -4 What is the value of 2765/(-350) + (-1)/10? -8 What is 2/(-3)*((-9)/(-51) + 0)? -2/17 Evaluate (-1 - 15/(-10)) + (-1)/4. 1/4 What is (-19)/38*(2 + 0)? -1 Calculate -4 - (-21)/(42/16). 4 What is the value of 14*(20/8 - (-10 - -13))? -7 What is the value of (12/15 + 116/(-120))*1? -1/6 Calculate -2*2/(-12) + 28/(-12). -2 What is the value of 441/72 + 2/(-19 - -3)? 6 Calculate 30/(-3)*(-2)/8*2. 5 What is the value of 8/(-2) - (-12)/(60/35)? 3 What is -1 - 22/(-26) - 350/91? -4 What is 12*(2/(-14) - 64/336)? -4 What is the value of 7/(-7) + (0 - 0)? -1 Evaluate 2/8*9/((-135)/(-10)). 1/6 Calculate (-99)/36 + 12/16. -2 Calculate (-15)/(-35) - (3 + (-6)/2). 3/7 Evaluate -4*1/(-10) + 2992/(-680). -4 What is (96 + -99)/(-1 - 8/(-14))? 7 What is (-9)/(-21)*(-2 + (-60)/(-16))? 3/4 Calculate (365 - 365)*((-2)/(-4))/(-1). 0 What is the value of 5/(-20)*(60/(-9))/(-5)? -1/3 6 - (-4)/3 - (-4)/6 8 What is the value of -6 - 6*(2 + -3)? 0 Calculate 6 - 0 - 215/70*2. -1/7 Calculate ((-45)/(-10))/(-9)*(2 + -1). -1/2 What is (2/(-4))/(-6 - (-115)/20)? 2 11 - 1368/126 - (-12)/14 1 What is the value of (2 + 3)*52/(-195)? -4/3 What is the value of (-3)/(9/(-12)*(4 - 13))? -4/9 (-10)/24 + 1375/100 + -14 -2/3 What is (-243)/18*-6*(-3)/27? -9 Evaluate (3*(-1 + 0))/(6/10). -5 What is (160/(-75) + 4)*(-6)/(-7)? 8/5 What is the value of 458/66 + 84/(-308) - 7? -1/3 Evaluate 2/3 + 16*(-7)/294. 2/7 (23 + -5)/9 - (1 + 1) 0 Evaluate (-4)/(-10) - (-7)/(-5). -1 Evaluate (-1 + 0)/(7 - 8). 1 What is 9 - -4*549/(-252)? 2/7 Calculate 6*(40/50)/((-6)/5). -4 (8/(-8) - 9)/(-2) 5 -2 - 2 - 147/(-35) 1/5 What is the value of 207/92 - (-5)/(-2)? -1/4 (0 + 3 + -2)*0 0 Calculate (-4 + 8)*3/(-114). -2/19 -1 + 6 + (-2580)/480 -3/8 What is the value of 5*(-77)/70*-1? 11/2 Evaluate 8*(-11)/(-88) + 0. 1 Calculate 16/8*(-2)/(-7). 4/7 5 + -3 + -3 - 1*-5 4 Calculate 31/(-217) + 68/(-14). -5 Evaluate (6/(-10))/((-1)/(-5)) - -2. -1 Evaluate 70/(-20) - 4/(-1). 1/2 Evaluate 3/(-5) + (-6)/15. -1 What is the value of (-710)/440 + (-4)/(-11)? -5/4 0*-6*3/(-36) + 2 2 What is ((0 - 1)*0)/(13/13)? 0 What is the value of (216/144)/(138/(-8))? -2/23 Calculate 165/(-35) - 4/14. -5 Calculate 2/(-2) + (-54)/(-30). 4/5 What is the value of (-30)/(-12) - (-5)/15*-3? 3/2 What is the value of ((-6)/9*24/40)/1? -2/5 Evaluate 6/(-9) + 13/((-780)/(-16)). -2/5 What is (2 - (-5)/(-3)) + (-56)/60? -3/5 What is the value of (((-12)/(-8))/1)/((-9)/(-30))? 5 Calculate (1/(-7))/(24/(-84)). 1/2 (32/(-12))/(11/(66/4)) -4 Calculate 31/6 - (-16)/(-96). 5 What is 0 + 6/(8/(-4))? -3 What is 16/12 + 41/(-24)? -3/8 Calculate (-2)/10*(14/(-7) - -1). 1/5 Evaluate (1/28*2)/(22/88). 2/7 What is the value of (-7)/2 - 11/(-22)? -3 (0 - 1)*-3 - (-7 + 5) 5 (-2)/7 - 5*12/35 -2 What is (12/147)/(72/252)? 2/7 Evaluate 2*(6 + 3 + (-6 - 1)). 4 Evaluate (-154)/1001 - 100/26. -4 What is (-2)/(-5) - 21/(-735)? 3/7 Calculate (-5*7/315)/((-1)/(-3)). -1/3 2/(-18)*(-102)/85 2/15 Calculate (47 + 2)/(-7) - (-1 - 1). -5 Calculate 5*-1 - 8/(-24)*6. -3 What is (-2)/(-11) - (-7 + 7126/1078)? 4/7 What is (-312)/56 + 6 - (-23)/(-21)? -2/3 1/3*(11/(-2) - -4) -1/2 Evaluate (5 - 78/15)/(2/10). -1 Evaluate 1 + 11 - 1591/129. -1/3 Evaluate 5*(-4)/(-60) + 4/(-6). -1/3 Calculate (-86)/110 + 6/33. -3/5 Calculate (-3 + 23)/(-5) - -3. -1 Calculate (-6)/9 + -2 + (-30)/(-9). 2/3 Evaluate (504/(-1260))/(9/(-10) - -1). -4 What is 48/(-30)*(1/(-2) - -3)? -4 What is the value of (1 + 3)*(2 - 1)? 4 -1 + -3 - (0 + 1 - 1) -4 Calculate 119/51 + (-1 - 2). -2/3 What is (2/(0 - 8))/((-111)/(-444))? -1 Evaluate (-2)/5*7/14. -1/5 What is the value of 3/1 - (18/12 + 1)? 1/2 Calculate 38/(-72) + 30/(-135). -3/4 What is -2*(5/(-2) - -3)? -1 What is the value of -4 + (728/16)/7? 5/2 Evaluate (78/(-312))/(-2 - 35/(-8)). -2/19 Calculate ((0/(-4) - 3) + 2)*3. -3 Calculate (-40)/12*60/250. -4/5 (-1)/((9/6 + -1)/(-1)) 2 Calculate (2/(44/(-6)))/((-258)/(-172)). -2/11 What is the value of (-10 - -8)/(-2) + 2/1? 3 What is the value of ((-4)/14)/(-24 - (-1404)/63)? 1/6 What is (-15)/(-18) - (-69)/(-92)? 1/12 Evaluate (-583)/847 + (-1)/(-7). -6/11 What is the value of ((3/(-6))/(1/2))/(-1)? 1 (11/(-7) + 1)/((-78)/(-91)) -2/3 What is (-14)/(-6) - (-15)/(-9)? 2/3 (24/(-60))/((-21)/5) 2/21 What is 8/3 + (-19 - -19)? 8/3 What is the value of (4 + -2 + -6)*(-2)/4? 2 What is the value of ((-6)/8)/3 + (-150)/40? -4 Calculate (7 - (-111)/(-15)) + 18/(-5). -4 What is ((-4)/((-128)/(-24)))/(-3)? 1/4 What is the value of 5/1*(24/10)/(-4)? -3 ((-1)/6)/(30/240) -4/3 What is the value of 7*1*560/784? 5 What is the value of 1122/(-143) + (-18)/117? -8 -1*((-48)/(-8))/(-6) 1 Calculate 43/(-26) + (-144)/(-96). -2/13 What is (2/84 - 0)*(6 - 10)? -2/21 Calculate (8 - (-12)/(-3)) + 1. 5 What is the value of (-7)/(-6)*(10/(-14) + 0)? -5/6 What is the value of (3/6)/(4 + 120/(-32))? 2 Evaluate -3*(-55)/363*(-3)/5. -3/11 140/56*2/(-2)*-2 5 What is 32/(-4) + 2772/360? -3/10 Evaluate 21 + 36/(-3) - 1. 8 (-3)/(135/18) + (-12)/(-10) 4/5 What is (-16)/80*15/7? -3/7 Calculate (27/(-12) + 3)*8. 6 Calculate -1 - (36/6 - 2). -5 (4/(-6))/((-63)/(-27)) -2/7 What is the value of 1 + -5 - (5 + -7 - -2)? -4 What is the value of (-5)/(45/(-6))*(-270)/36? -5 Calculate 4 - (-6 + 2 + 6). 2 Calculate 2*5/(-60)*1. -1/6 Calculate 3*(2 - 1) - 14/3. -5/3 What is 49 + -44 - 9/3? 2 Calculate 3 - (0 + 4 + -1). 0 Calculate ((-1)/6)/((-3)/(-6)). -1/3 What is the value of 8/1 + 24/(-8)? 5 What is the value of -9 - (-5697)/630 - (-2)/20? 1/7 ((-180)/55)/6 - 83/(-11) 7 What is (-2)/4 - (-31)/(-62)? -1 What is the value of (-3 - 1) + 260/70? -2/7 Evaluate 21/567 + (-3)/(108/4). -2/27 What is 0 - (13 + -15 + 17/8)? -1/8 (2*(-1)/(-5))/(24/(-20)) -1/3 What is the value of -2 - 18/(-8) - 195/(-52)? 4 Calculate 3 - 2 - 9*(-24)/(-108). -1 What is 171/42 - (-68)/(-952)? 4 6/(-10) - 1554/(-1890) 2/9 What is 24/(-3) + 300/36? 1/3 What is -8*-6*(-9)/(-120) - 3? 3/5 What is the value of 60/(-30) - 33/(-18)? -1/6 (-1)/(-9)*180/(-80) -1/4 (1/(16/(-8)))/(2/12) -3 What is ((-4)/(3 + -1))/((-6)/(-9))? -3 Evaluate (-72)/24*(-1)/(-6). -1/2 Calculate (-96)/(-20) - (2/(-10) - 0). 5 Calculate (-2)/3*(4 - (-1 - -8)). 2 (-57)/(-76)*4/3 - 4 -3 Evaluate 4/(-24)*24/16. -1/4 Evaluate (-7)/(-2)*(6/(-21) - -2). 6 What is the value of (4/(-3))/((-572)/78)? 2/11 What is ((-42)/(-63))/(4/42) - 4? 3 (-10)/((-300)/198) + -7 -2/5 Calculate (-3)/(-6) + (-1)/(-2). 1 What is (-6)/(-24)*4 - 3/3? 0 What is the value of (-14)/4 - 21/(-14)? -2 Evaluate (4/10)/(-2 + (-384)/(-180)). 3 Calculate (7 - 1)*(-1 + 35/21). 4 Evaluate (-5)/15 + (46/39 - 1). -2/13 What is -1*2*(-6)/12? 1 What is (-2)/(-6) - 11/33? 0 What is (-76)/(-160) - 59/(-472)? 3/5 Evaluate (4 - 20/4) + 6. 5 Evaluate (7 + 1)*7/(-14). -4 What is (-4)/6*24/(-136)? 2/17 Calculate 27/6 + -6 + (-3)/(-6). -1 Calculate 65/13 + 34/(-6). -2/3 Evaluate (1/45 + 0)*219 - 5. -2/15 Evaluate (-1)/4*(1224/135)/17. -2/15 What is (-3 - -3 - 1) + 0/1? -1 ((-17)/(-6) - 3/2)/6 2/9 (3 - (-33)/(-9)) + (-468)/(-621) 2/23 7/(-378)*-9*3/(-5) -1/10 Calculate (-1)/(12*18/24). -1/9 What is the value of 4*14/(-98)*7? -4 Evaluate (136/(-18))/2 + 2/(-9). -4 What is the value of -2*((-2)/(-3) - 87/117)? 2/13 Evaluate 0/21 - 3/(-30)*-4. -2/5 Evaluate 7/(336/(-64))*15/2. -10 What is the value of (-4)/(12/9)*-1? 3 Calculate (-3)/(-7) + ((-1032)/(-280))/(-3). -4/5 (-99)/162 + (-1)/(-6) -4/9 What is the value of (-434)/(-
{ "pile_set_name": "DM Mathematics" }
3. Factor y(g). (8*g + 3)**2*(27*g - 2) Let d be 4/(-14) + 354/14. Let p = -19 - -40. Solve -p*g - 2*g**3 + g**3 + d*g = 0 for g. -2, 0, 2 Let g = -1397/45 + 1462/45. Determine w, given that -11/9*w**2 - 2/9 - g*w = 0. -1, -2/11 Let v(h) be the third derivative of -h**5/300 + 5*h**4/12 + 17*h**3/10 - 469*h**2. Find z such that v(z) = 0. -1, 51 Let u(b) = -57*b**2 + 783*b - 16. Let r(g) = 192*g**2 - 2610*g + 54. Let c(l) = 8*r(l) + 27*u(l). Factor c(v). -3*v*(v - 87) Suppose -13332 = 3*u - 13350. Let c(t) be the third derivative of -1/10*t**4 + 25*t**2 + 2/5*t**3 - 1/100*t**5 + 0 + 1/200*t**u + 0*t. Solve c(h) = 0 for h. -2, 1, 2 Let u(l) be the first derivative of -l**6/60 + l**5/12 + 29*l**4/64 + 3*l**3/4 - 19*l**2 + 54. Let w(c) be the second derivative of u(c). Factor w(j). -(j - 4)*(4*j + 3)**2/8 Let c(p) be the second derivative of 0 + 7/180*p**6 + 1/18*p**4 + 0*p**3 + 0*p**2 - 4*p - 2/15*p**5. Factor c(y). y**2*(y - 2)*(7*y - 2)/6 Suppose i - 19 = f, -2 = 2*i + 5*f - 12. Factor 3*g - 3*g**3 + 0*g**3 + i + 35*g**2 - 72*g**2 + 22*g**2. -3*(g - 1)*(g + 1)*(g + 5) Suppose 8*j + r = 3*j + 6786, 0 = -4*j - 2*r + 5424. Let -j*s + 667*s - 150 + 5*s**2 + 656*s = 0. Calculate s. -3, 10 Let i(z) be the third derivative of -2/735*z**7 + 1/2352*z**8 - 32*z - 1/140*z**6 + 1/105*z**5 + 0*z**3 + 0 - z**2 + 5/168*z**4. Let i(r) = 0. What is r? -1, 0, 1, 5 Suppose -32*g + 28*g = -8. Let n be (-2)/g + (2 - -5). Solve n + 144*c**4 - 33*c - 23*c - 58*c**2 - 336*c**3 + 302*c**2 - 2 = 0. 1/6, 1 Let j(n) be the first derivative of -2*n**3/3 + 48*n**2 - 94*n - 1708. Factor j(z). -2*(z - 47)*(z - 1) Determine w so that -6747 - 22898 - 1479*w - 180*w**2 - 3141*w = 0. -77/6 Let g(m) = m**3 - 38*m**2 + 90*m - 3. Let c(d) = -2*d**3 + 114*d**2 - 268*d + 8. Let j(v) = 3*c(v) + 8*g(v). Let j(a) = 0. Calculate a. -21, 0, 2 Let v = 89 + -69. Suppose -l = -6*l + v. Determine k so that -12*k**3 - l*k**3 - 5*k**4 - 5*k**2 + 30*k + k**3 - 5*k**3 = 0. -3, -2, 0, 1 Let w = -388 + 6598/17. Let y = 2110/17 + -124. Suppose 0 - y*f**5 + 0*f**2 + 4/17*f**3 - w*f**4 + 0*f = 0. What is f? -2, 0, 1 Let f(o) be the first derivative of o**6/720 - 17*o**5/120 + 289*o**4/48 - 4913*o**3/36 - 43*o**2 + 54. Let y(r) be the second derivative of f(r). Factor y(w). (w - 17)**3/6 Solve -3/8*s**5 + 15/4*s**3 + 261/8*s + 27/2 + 24*s**2 - 3/2*s**4 = 0 for s. -3, -1, 4 Let i(r) be the first derivative of 18*r**3/7 - 107*r**2/7 - 8*r/7 - 1195. Determine l so that i(l) = 0. -1/27, 4 Suppose 10*i + 5*p + 179 = 11*i, -5*i + 2*p + 941 = 0. Let w = i + -189. Suppose 6/5*q**2 + 8/5*q + w*q**3 - 1/5*q**4 + 3/5 = 0. Calculate q. -1, 3 Let l be (-12)/(-9)*(24 + 0). Suppose z - 16 - 2 = -3*g, 4*z + 4*g = l. Factor -16/7*y - 2/7*y**z - 8/7 - 10/7*y**2. -2*(y + 1)*(y + 2)**2/7 Let v(y) be the third derivative of 5*y**8/336 - 2*y**7/21 - y**6/3 + 7*y**5/6 + 35*y**4/24 - 25*y**3/3 + 3787*y**2. What is l in v(l) = 0? -2, -1, 1, 5 Let c(m) = m**3 + 12*m**2 - 10*m - 31. Let v be c(-10). Let -2*w**5 + 6*w**2 + 136 + 10*w**3 - v + 133 + 2*w**4 = 0. Calculate w. -1, 0, 3 Let h(n) = -6*n**4 + 27*n**3 - 84*n**2 + 3*n + 126. Let g(k) = -5*k**4 + 29*k**3 - 85*k**2 + 3*k + 126. Let w(v) = 3*g(v) - 2*h(v). Solve w(c) = 0 for c. -1, 2, 3, 7 Let r(n) = -n**2 + 2*n + 10. Suppose -g - 2*g + 4*h + 8 = 0, -4*g - 5*h + 21 = 0. Let p be r(g). Suppose 12*j**2 + 17*j**2 - 34*j**p + 10*j = 0. Calculate j. 0, 2 Let q(f) = -10930*f + 45. Let j be q(-9). Solve 264*c**3 - 405*c**2 + 10935*c + 264*c**3 - 523*c**3 - j = 0. 27 Determine h, given that -61401 + 12642*h**2 + 171376 + 144641 - 19*h**3 - 1148244*h - 8*h**3 - 1512*h**2 = 0. 2/9, 206 Let s(l) = -13*l**3 - 6 - l**2 - 6*l + 5*l**3 + 0*l**2. Let r be (-2)/(-13)*(-559)/(-43). Let y(w) = -w**3 - w - 1. Let b(m) = r*s(m) - 14*y(m). Factor b(h). -2*(h - 1)*(h + 1)**2 Let s(w) be the second derivative of -w**4/6 + 44*w**3/3 - 403*w**2 + 3774*w. Factor s(c). -2*(c - 31)*(c - 13) Let m(q) = -3*q**3 + 236*q**2 + 8656*q + 69002. Let l(b) = -2*b**3 + 117*b**2 + 4320*b + 34502. Let r(y) = 5*l(y) - 3*m(y). Factor r(x). -(x + 11)*(x + 56)**2 Suppose 0 = 108*t - 22569 + 22245. Suppose 0 = a + a - 10. What is s in -6/7*s**4 + 6/7*s**t - 3/7*s**a - 6/7 + 12/7*s**2 - 3/7*s = 0? -2, -1, 1 Let u(p) be the third derivative of -p**7/672 - p**6/40 - 5*p**4/24 + 2*p**2. Let y(x) be the second derivative of u(x). Solve y(v) = 0 for v. -24/5, 0 Let o(t) = -14*t + 60. Let v be o(4). Suppose -127*y - 2*y**3 - 124*y - 4*y**2 + 2*y**5 + 251*y + v*y**4 = 0. Calculate y. -2, -1, 0, 1 Suppose 0 = a + 5*i - 423 + 401, -18 = -a - 4*i. Determine x so that 0 + 4/3*x**3 + 4/3*x - 8/3*x**a = 0. 0, 1 Determine g so that 5*g**4 - 25*g**3 + 8*g**2 + g**2 - 9*g**2 - 20*g**3 = 0. 0, 9 Let f be 35/3 - (7 + (-66)/9). Let o(m) = m**2 + 1. Let w(u) = 16*u**2 - 4*u - 36. Let s(j) = f*o(j) - w(j). Factor s(b). -4*(b - 4)*(b + 3) Let m be 0 + -2 + (6/10)/(675/8250). Let f(g) be the first derivative of m*g - 4/3*g**3 - 4/15*g**5 - 5/3*g**4 + 26 + 10/3*g**2. Determine c so that f(c) = 0. -4, -1, 1 Let u(j) = 11*j**4 + 220*j**3 + 2391*j**2 - 214*j - 2426. Let y(d) = -d**4 + 4*d**2 - d + 1. Let x(b) = u(b) + 6*y(b). Solve x(l) = 0. -22, -1, 1 Factor -p**3 - p + 58*p**2 - 75 + 0 - 2 + 2*p + 19. -(p - 58)*(p - 1)*(p + 1) Let p(a) = -14*a**3 - 58*a**2 - 54*a + 114. Let f(g) = 76*g**3 + 290*g**2 + 271*g - 571. Let c(j) = -2*f(j) - 11*p(j). Factor c(o). 2*(o - 1)*(o + 2)*(o + 28) Let w = 0 - -18. Suppose 0 = w*n - 19*n + 13. Solve -18 + 38 + n*j + 5*j**2 + 12*j = 0 for j. -4, -1 Let p be ((-18)/(-54))/((-1043)/2). Let b = p - -14608/9387. Find m such that 32/9 + 2/9*m**3 + 16/9*m - b*m**2 = 0. -1, 4 Solve 150/7*r + 0 - 519/7*r**2 + 285/7*r**4 + 12/7*r**5 - 396/7*r**3 = 0. -25, -1, 0, 1/4, 2 Let i(m) be the first derivative of 0*m**2 - 39*m - 4/3*m**3 + 47 - 1/3*m**4. Let d(z) be the first derivative of i(z). Factor d(w). -4*w*(w + 2) Suppose 0*z = 4*s - 5*z - 17, z + 13 = -4*s. Let l be (2 + s)*4/(-8). What is r in r**3 - 14 - r - 2*r**2 + l*r + 16 = 0? -1, 1, 2 Let -1/6*f**4 - 19/6*f**2 - 3/2*f**3 + 3/2*f + 10/3 = 0. Calculate f. -5, -4, -1, 1 Let l(d) be the third derivative of d**7/70 + 7*d**6/90 + d**5/15 - d**3/2 + 21*d**2 - 2*d. Let x(z) be the first derivative of l(z). Solve x(p) = 0. -2, -1/3, 0 Factor 1/5*i**4 - 57/5*i - 3*i**3 + 22/5 + 49/5*i**2. (i - 11)*(i - 2)*(i - 1)**2/5 Let d(m) be the second derivative of -11/3*m**2 - 2 - 4/3*m**3 - 1/18*m**4 + 8*m. Find v such that d(v) = 0. -11, -1 Let m be ((-2 - 5/(-2))*-2)/5 - -4. Factor -361/10 - m*a - 1/10*a**2. -(a + 19)**2/10 Find r such that 84*r**2 - 2/3*r**3 - 496/3*r + 0 = 0. 0, 2, 124 Let l be (-2)/(-4) + (11629/(-1015))/((-18)/(-15)) + 10. Suppose -6/7*a + l - 2/21*a**2 = 0. What is a? -10, 1 Let v(s) = -13*s**2 + 58*s + 71. Let o(p) = -72 - 35 + 106 + p**2. Let k(a) = -22*o(a) - 2*v(a). Factor k(f). 4*(f - 30)*(f + 1) Suppose -l = -3*q - 23, 2*q = 2*l - 37 - 13. Suppose l*f - 5*f**5 - 271*f - 60*f**4 + 420*f**2 - 85*f**3 - 25*f**3 = 0. Calculate f. -7, 0, 1 Let y(j) = -11*j - 110. Suppose -191*d - 20 = -189*d. Let b be y(d). Suppose 0 - o**3 + 4/3*o**5 + 0*o**4 + b*o + 1/3*o**2 = 0. Calculate o. -1, 0, 1/2 Let w(i) = 2*i - 1. Let y be 9/(288/(-164)) - (-1)/8. Let v(u) = -33*u**4 - 72*u**3 - 12*u**2 - 10*u + 5. Let s(r) = y*w(r) - v(r). Find o such that s(o) = 0. -2, -2/11, 0 Let r be ((-2)/(-4))/(4/14*(-77)/(-220)). Let l(k) be the first derivative of 1/8*k**4 - k - r - 2/3*k**3 + 5/4*k**2. Factor l(p). (p - 2)*(p - 1)**2/2 Solve -8635*s**3 + 3*s + 162*s**2 - 21*s - 19*s + 8512*s**3 - 11*s - 18*s**4 = 0. -8, 0, 1/2, 2/3 Determine l, given that -106/3*l**4 + 2/3*l**5 - 364/3*l**2 + 572/3*l**3 - 574/3*l + 470/3 = 0. -1, 1, 5, 47 Let o(p) be the second derivative of p**7/3150 + p**6/75 + 11*p**5/150 + 70*p**4/3 + p + 13. Let m(n) be the third derivative of o(n). Factor m(l). 4*(l + 1)*(l + 11)/5 Let y(w) = -5*w**2 + 51*w + 348. Let o be y(-9). Let a = 518 + o. Factor -14/9*z**a - 20/9 - 74/9*z. -2*(z + 5)*(7*z + 2)/9 Let x(b) be the second derivative of -48*b + 0 + 1/60*b**4 + 1/15*b**3 - 1/150*b**6 - 1/50*b**5 + 0*b**2. Factor x(s). -s*(s - 1)*(s + 1)*(s + 2)/5 Factor 7259 + 40448 - 1692*x + 99744 + 3*x**2 + 234*x + 29696. 3*(x - 243)**2 Suppose 29*t - 36*t = -15295. Solve -6
{ "pile_set_name": "DM Mathematics" }
ird derivative of 10*j - 5*j**4 - 10*j + 5*j**2 wrt j. -120*j Let q be (-11 + 1)*(-18)/15. Suppose 2*r + q = 6*r. Differentiate 3*y**3 - 1 + 2 + 0*y**r with respect to y. 9*y**2 What is the derivative of -7 - 36*w**2 + 38 + 5 wrt w? -72*w What is the third derivative of -32*g**4 + 38*g**2 - 14*g**4 + 5*g**4 wrt g? -984*g Let b = 27 + -22. Find the third derivative of 108*y + 6*y**2 + 5*y**b - 108*y wrt y. 300*y**2 Let s = 31 + -13. Find the third derivative of s*u + 3*u**3 - 18*u + 2*u**2 wrt u. 18 Let s(h) be the third derivative of -h**9/126 + h**6/60 - h**5/30 - h**4/8 + 5*h**2 + h. Find the third derivative of s(u) wrt u. -480*u**3 + 12 Suppose 4*f + 4*v - 4 = 0, -3 = 3*f + 5*v - 0*v. Suppose -z - 2*z = h, -f*h + 4*z + 16 = 0. Differentiate 1 + m**2 + 1 - h wrt m. 2*m Let t(d) be the first derivative of -3*d**6/2 + d**5/5 + 3*d**2 - d + 23. What is the second derivative of t(w) wrt w? -180*w**3 + 12*w**2 Let k = 0 - -2. Suppose -4*a = -2*a - 5*u + 12, -2*u = -k*a. Find the third derivative of -2*z**2 - 6*z**5 + 0*z**2 + a*z**5 wrt z. -120*z**2 Suppose -16 = -9*h + 5*h. Differentiate 0 - 4*y**h + 0 + 5*y**4 - 1 with respect to y. 4*y**3 Suppose 0 = -l + 3 - 1. Find the third derivative of -a**4 + 4*a**3 - 4*a**3 - 2*a**l wrt a. -24*a What is the second derivative of 10*r - 3*r**5 - 3*r + 0*r**5 + r**5 wrt r? -40*r**3 Let r = 7 - 4. Suppose -c + r*c = 12. Let h(x) = -9*x**3 - 9. Let l(d) = -d**3 - 1. Let z(g) = c*h(g) - 51*l(g). What is the derivative of z(k) wrt k? -9*k**2 Let s(p) be the first derivative of p**5/5 - 8*p + 3. Find the first derivative of s(n) wrt n. 4*n**3 Suppose 4*c + 3*p - 65 = 2, p = 1. Let j be 60/c + 1/4. Find the second derivative of j + w**4 - 4 + w wrt w. 12*w**2 Let c(b) be the third derivative of -5*b**9/252 - b**5/5 - 12*b**2. What is the third derivative of c(m) wrt m? -1200*m**3 Suppose -2*v + v = 0. Suppose v = z - 0 - 5. Find the second derivative of 0*a - 2*a - 5*a**z + 4*a**5 wrt a. -20*a**3 Let l(j) = 22*j**4 + 12*j**2 - 3*j + 3. Let z(a) = -21*a**4 - 12*a**2 + 2*a - 2. Let h(r) = -2*l(r) - 3*z(r). Find the third derivative of h(f) wrt f. 456*f Find the third derivative of -3*w**2 + 11*w**5 - 8*w**6 - 11*w**5 + 9*w**2 wrt w. -960*w**3 Let n = 0 + 4. Find the third derivative of 6*x**3 - n*x**2 + 1 - 4*x**3 - 1 wrt x. 12 Suppose 4*q - 3*q = 3. Differentiate 4 - 23*u**3 + 23*u**q + u**4 with respect to u. 4*u**3 Let y be 3/2*2/(-3). Let c(p) = p**3. Let v(r) = -6*r**3 - 2. Let s(d) = y*c(d) - v(d). What is the derivative of s(u) wrt u? 15*u**2 Let r(s) be the first derivative of s**2 - 5*s + 2. Differentiate r(q) wrt q. 2 Let k(s) be the first derivative of 25*s**4/2 - 53*s**3/3 - 16. What is the third derivative of k(o) wrt o? 300 Let y(t) be the first derivative of t**5 + 8*t - 2. Find the first derivative of y(x) wrt x. 20*x**3 Let v(a) be the second derivative of -a**7/30 - a**3/6 - 3*a**2 + 9*a. Let d(p) be the first derivative of v(p). Differentiate d(f) wrt f. -28*f**3 Let r(j) = -1. Let q(i) be the second derivative of i**3/3 - 7*i**2/2 + 4*i. Let x(a) = q(a) - 4*r(a). Differentiate x(c) with respect to c. 2 Let n(t) be the third derivative of t**6/60 - 5*t**3/3 - 14*t**2. What is the first derivative of n(x) wrt x? 6*x**2 Let s(v) be the second derivative of v**5/40 - v**4/6 + v**3/3 - v. Let k(i) be the second derivative of s(i). What is the derivative of k(w) wrt w? 3 Let r = -21 - -31. Let u be (-5)/r*(-4)/1. What is the first derivative of 0*s**2 - 3*s**u + 4*s**2 + s**2 + 4 wrt s? 4*s Let h(r) be the second derivative of 13*r**3/6 - 3*r**2/2 + 3*r. Differentiate h(v) with respect to v. 13 Let j(l) be the third derivative of 13*l**6/60 - l**4/6 - 2*l**2. What is the second derivative of j(z) wrt z? 156*z Let v(q) = -7*q - 2. Let l(p) = -13*p - 4. Suppose 6 - 14 = -2*d. Let k(u) = d*l(u) - 7*v(u). What is the first derivative of k(i) wrt i? -3 Let k(j) = j + 18. Let d be k(-15). Let s(b) be the first derivative of 0*b + 2/3*b**d + 1 + 3/2*b**2. Find the second derivative of s(y) wrt y. 4 Let r(d) = d**5 + 2*d**4 + 2*d**3 + d**2. Let c(v) = v**5 + v**4 + v**3 + v**2. Let h(q) = 4*c(q) - 2*r(q). What is the third derivative of h(w) wrt w? 120*w**2 Let t(r) = -64*r + 15. Let c(y) = -64*y + 14. Let g(m) = -2*c(m) + 3*t(m). Find the first derivative of g(f) wrt f. -64 Suppose -2*n + 4*x = 10, -13 = -0*n - 4*n - 3*x. Let u be (2 + n)*(1 + 0). Differentiate 2*r**3 + r**4 + 0*r**4 - 2*r**u + 2 with respect to r. 4*r**3 Let z(j) be the first derivative of 8 + 0*j**2 + 4*j - 5/3*j**3. Find the first derivative of z(d) wrt d. -10*d Let l(i) be the second derivative of 5*i**7/21 + 7*i**3/6 + 10*i. What is the second derivative of l(c) wrt c? 200*c**3 Let c(i) = -9*i + 13. Let q(n) = -5*n + 6. Suppose 2*g + 18 = z, 2*g + 33 = -g + 3*z. Let d(k) = g*q(k) + 3*c(k). Differentiate d(w) wrt w. 8 Let j(c) be the first derivative of -2*c**2 + 0*c - 2 - 1/3*c**3. Find the second derivative of j(a) wrt a. -2 Suppose -3 + 9 = 2*f. Let r = f - -2. Find the second derivative of -3*x + 6*x + 3*x**3 + 4*x**r - 3*x**3 wrt x. 80*x**3 Let t(j) be the second derivative of -37*j**6/30 + 43*j**2/2 - 20*j. What is the derivative of t(l) wrt l? -148*l**3 Suppose -i + 3*i + 4 = 0, 0 = -3*c + 2*i + 7. What is the derivative of c - 1 - 3*t**4 + 0 + 5 wrt t? -12*t**3 Let c(q) = -2*q**4 - 4*q**3 + 4*q**2 - 2. Let l(y) = 3*y**4 + 7*y**3 - 7*y**2 + 5. Let f(t) = -7*c(t) - 4*l(t). What is the derivative of f(u) wrt u? 8*u**3 Let k be (-15)/(-6)*1*2. Suppose -1 - k = -3*p. What is the derivative of 2*a**p - a**4 - 2*a**2 + 1 wrt a? -4*a**3 Let o(p) be the third derivative of -p**8/112 - 13*p**4/24 - 7*p**2. Find the second derivative of o(s) wrt s. -60*s**3 Let x(n) be the first derivative of 2*n**5/5 + 29*n**2/2 + 47*n - 53. What is the derivative of x(k) wrt k? 8*k**3 + 29 Let l(t) = t**2 - 3*t + 2. Let u be l(3). Let k(o) = 1. Let s(w) = -3*w**2 + 3. Let j(a) = u*k(a) + s(a). Differentiate j(i) with respect to i. -6*i Suppose 5*z - 10 = -3*s, -2*z + 5*s + 0 = -4. Find the third derivative of 5*q**6 - q**3 - q**6 + q**3 + q**z wrt q. 480*q**3 Let t(d) = -5*d**4 - 3*d**2 - 3*d - 6. Let o(i) = 15*i**4 + 8*i**2 + 8*i + 18. Let v(u) = 3*o(u) + 8*t(u). Find the first derivative of v(h) wrt h. 20*h**3 Let z(c) = -11*c**3 - 6*c**2 - 6*c - 3. Let p(w) = 21*w**3 + 11*w**2 + 11*w + 5. Let o(i) = 6*p(i) + 11*z(i). Differentiate o(y) wrt y. 15*y**2 Let a be (-5 - -1)*-1 + -4. Let y(o) be the second derivative of 1/20*o**5 + 0*o**2 + a - 3*o + 1/4*o**4 + 0*o**3. What is the third derivative of y(w) wrt w? 6 Find the first derivative of -4*x - x + 0 + 2 wrt x. -5 Differentiate 6*d**2 - 3*d**2 - 2*d**2 - 2 with respect to d. 2*d Let o(g) = 23*g**3 + 38*g**2 + 2*g - 2. Let c(u) = 70*u**3 + 114*u**2 + 7*u - 7. Let l(y) = 2*c(y) - 7*o(y). Find the third derivative of l(j) wrt j. -126 Let f(a) = a**2 - 4*a - 4. Let x be f(6). Let g(s) = -s + 10. Let c be g(x). What is the third derivative of -5*d**4 + 3*d**4 + d**c + d**2 wrt d? -48*d Differentiate -d**2 + 4*d**2 - 11 + 4 - 9 wrt d. 6*d Let j(t) be the third derivative of -2*t**2 + 0*t - 5/24*t**4 + 0*t**3 + 0 + 0*t**5 + 1/24*t**6. Find the second derivative of j(b) wrt b. 30*b Let a = 4 - 1. What is the derivative of 4 - 7 - 2 - a*f + 4*f wrt f? 1 Find the first derivative of -3*j**3 + 3 + 3*j**3 - 3*j**3 wrt j. -9*j**2 What is the derivative of 2*f - 13*f**2 + 12*f**2 + 15 + 25*f wrt f? -2*f + 27 What is the second derivative of 2*y**5 + 29*y**5 + 27*y - 77*y - 12*y**5 wrt y? 380*y**3 Let a(o) = 4*o**2. Suppose 5*g - 6 = -v + 10, 0 = 3*v - 4*g + 9. Let j be a(v). What is the first derivative of j*p + 2 - p - p wrt p? 2 Let r(k) be the first derivative of -2*k**3 - 7*k - 7. What is the derivative of r(j) wrt j? -12*j Let u(i) be the third derivative of 0*i - 1/8*i**4 + 1/84*i**8 + 0*i**3 + 0 + 0*i**7 + 4*i**2 + 0*i**5 + 0*i**6. What is the second derivative of u(l) wrt l? 80*l**3 Let d(u) = 9*u**3 - 6*u**2 + 6*u + 8. Let a(o) = o**3 - o**2 + o + 1. Let s(k) = -k**2 - 2. Let x be s(2). Let v(z) = x*a(z) + d(z). Differentiate v(c) wrt c. 9*c**2 Suppose 3*s - 3 = 6. Let n(f) be the first derivative of 0*f**s + 0*f + 0*f**5 + f**2 - 1/6*f**6 + 1 + 0*f**4. What is the second derivative of n(w) wrt w? -20
{ "pile_set_name": "DM Mathematics" }
nearest one hundred. -600 Let z(y) = 39084*y**2 + 11*y + 42. Let r be z(-6). What is r rounded to the nearest one hundred thousand? 1400000 Let i = 27.67 - 27.668911. What is i rounded to 4 dps? 0.0011 Let j(k) be the second derivative of -31375*k**3/3 - 4*k. Let b be j(-4). Round b to the nearest 10000. 250000 Let v = 1.36 - 1.35128. What is v rounded to 3 decimal places? 0.009 Suppose -15*v + 20*v = 4*l + 148400015, -185500006 = 5*l - 2*v. Round l to the nearest 1000000. -37000000 Let o be (306 + -1)*1135/1. Suppose m - 33825 = o. Round m to the nearest one hundred thousand. 400000 Suppose -2*x + 44339996 = -3*w, 4*w - 11494860 = 2*x - 70614856. What is w rounded to the nearest one hundred thousand? -14800000 Suppose 30300 = -t - 5*t. What is t rounded to the nearest 1000? -5000 Let v = -95.038914 - 1500.624372. Let t = 1476.66308 + v. Let o = -119 - t. What is o rounded to 5 decimal places? 0.00021 Let u = 0.207958 - 0.208. What is u rounded to 4 decimal places? 0 Suppose 0*p - 4*p = -3*a + 5936719, -4*a + 5*p + 7915625 = 0. Let z = -528905 + a. Round z to the nearest 100000. 1500000 Let u = -937.00167 + 937. Round u to three dps. -0.002 Suppose 157360000 = -25*r - 3*r. What is r rounded to the nearest one million? -6000000 Let r = 2271.46 - 15.46. Let w = r + -2283.74. Let i = w + 27. Round i to one decimal place. -0.7 Let k = -62 + 87. Let p = k - 1. Let q = p + -24.0000026. Round q to six dps. -0.000003 Let l = 356.5856 + -357. Let n = l + 0.41. What is n rounded to three decimal places? -0.004 Suppose u - 5*u = 0. Suppose u = 4*t + 20, -3*n - t - 272 = -0*t. Round n to the nearest 10. -90 Let b = 771.8 + -916. What is b rounded to the nearest ten? -140 Let s = 1.19 - 6.5. Round s to the nearest integer. -5 Let r = -3 + -4. Let k = 15 - r. Let a = 21.99999962 - k. What is a rounded to seven decimal places? -0.0000004 Let r(v) = 45*v**3 + 2*v**2 + 12*v + 8. Let b = -8 - -13. Suppose b*p - 3*d = -34, -2*d + 1 = -p - 3. Let s be r(p). What is s rounded to the nearest 10000? -20000 Let r be 1/2 + 3676/(-32)*4. Round r to the nearest ten. -460 Let w = -0.107 + -55.393. Let y = w - -17.4. Round y to zero dps. -38 Suppose -24440 = -2*r + 4*a, -5*r + 4*r + 3*a + 12225 = 0. Round r to the nearest 1000. 12000 Let u = -371.3112 - -377.3. Let x = 3 + 3. Let h = u - x. Round h to 3 dps. -0.011 Let o = -6.16 - -0.16. Let q = o + 5.9084. Let b = -0.09 - q. What is b rounded to three dps? 0.002 Let v = -3.367 + 3.3678361. What is v rounded to 4 decimal places? 0.0008 Let f(c) = 27*c + 126*c - 15*c - 6. Suppose 21*z - 27*z = 18. Let q be f(z). Round q to the nearest one hundred. -400 Let p = 0.06 + 0.07. Let y = p - 0.045. Round y to two dps. 0.09 Let q = -581 + 973. Round q to the nearest ten. 390 Let h = -92 + 86.5. Let j = h - -5.499988. Round j to 5 decimal places. -0.00001 Let u = -630804166.00000204 + 630804277. Let r = u + -111. What is r rounded to seven dps? -0.000002 Let a = -819.95559664 - -820.6956. Let x = 0.74 - a. Round x to six decimal places. -0.000003 Let b = -30659.7410652 + -18.2593348. Let u = b + 30694. Let h = u + -16. Round h to 3 dps. 0 Let y = -6550.000004733 - -6550. Round y to six dps. -0.000005 Let r = 0.068 - 0.0654. What is r rounded to four decimal places? 0.0026 Let g(w) = -8*w + 4. Suppose 4*p + p - 15 = 0. Let l be g(p). Let u be (125 + 1)/(3/l). What is u rounded to the nearest 100? -800 Let f = 55.93 + -58.5. Let z = f - 21.33. What is z rounded to the nearest integer? -24 Let k = 50.7 + 6.3. Let d = 34 - k. Let r = -23.000013 - d. Round r to 6 dps. -0.000013 Let k = -1.44725 - -1.45. What is k rounded to 4 dps? 0.0028 Let n = 0.81 + 39.19. Let w = n + -40.0000306. Round w to six decimal places. -0.000031 Suppose 5*q - 4197765 = 4*k - 5*k, -3*k + 12593200 = -4*q. Suppose z = -0*z + 5. Suppose k = z*f - 2552260. Round f to the nearest 100000. 1400000 Let f(l) = 31225*l**2 - 5*l + 40. Let g be f(13). Round g to the nearest one hundred thousand. 5300000 Let q = 2.2448 + -2.2. Round q to 3 decimal places. 0.045 Let g = -11.818997 + 11.82. What is g rounded to four dps? 0.001 Let a be 5/(-6) - ((-5)/(-6))/5. Let q(z) = -68003*z - 3. Let w be q(a). What is w rounded to the nearest ten thousand? 70000 Let h = 1901.00000313 + -1901. Round h to 7 dps. 0.0000031 Let m = 41174.053993 + -41174. Let h = -0.054 + m. What is h rounded to 5 dps? -0.00001 Let y = -26 + 51. Suppose -2*m - 3*d + 0*d - y = 0, 0 = -m + 5*d + 7. What is m rounded to the nearest 10? -10 Let n = 31466876.9845167 - 5089888.9843197. Let i = n - 26376926. Let f = 62 - i. Round f to five dps. -0.0002 Let w = 0.1527 + -0.11228. Let z = w - 0.041. What is z rounded to 4 decimal places? -0.0006 Let v = -0.181 + 0.180998701. What is v rounded to seven dps? -0.0000013 Let i be (-787)/(-4) - (-4)/16. Suppose 8 = -4*h, -5*d + 0*h + i = 4*h. Round d to the nearest 10. 40 Let t = 6.6784 + -0.6724. What is t rounded to the nearest integer? 6 Let j be (2 + 4)/(-3) - -1. Let n be (-9)/(-3) - (-1 + j). Suppose -n*k - 5 = 0, -3*t = -0*t - 4*k + 37196. Round t to the nearest one thousand. -12000 Let s = 7183.00007738 + -7183. Round s to 6 dps. 0.000077 Let t = 58.5493599 - 58.55. Round t to four decimal places. -0.0006 Suppose 5*m = -3*g + 19, g + m = -4*m + 13. Suppose -g*u + o + 95606869 + 39393126 = 0, -4*o = u - 45000020. What is u rounded to the nearest 1000000? 45000000 Let i = -3.038 - 34.96185. Let p = i - -38. What is p rounded to 4 dps? 0.0002 Let l be (-4)/10*(4 - 11942369). Suppose -4413594 - l = 5*z. Let h = z - 1661892. Round h to the nearest 1000000. -4000000 Let j = 71 - 278. Let i = 1065 + j. Let a = i + -1638. What is a rounded to the nearest one hundred? -800 Let d(v) = -v**3 - 4*v**2 - 3*v - 15. Let n be d(-4). Let c be (-4880)/n*(3751 - -3 - 4). What is c rounded to the nearest 1000000? 6000000 Let r = 0.3 + -0.1. Let c = 0.41 - r. Let y = c - 0.20999991. Round y to 7 dps. 0.0000001 Let f = 62165 + -118365. What is f rounded to the nearest ten thousand? -60000 Let n = -297 - -297.445. Round n to 2 decimal places. 0.45 Let m = 2 + -1.995. Let q = 634903.99500039 - 634904. Let l = q + m. What is l rounded to 7 decimal places? 0.0000004 Let q = 0.057 - -32.943. Let l = -6741.75668 + 6708.7566823. Let w = q + l. Round w to 7 decimal places. 0.0000023 Let h = -0.2719829 + 0.272. Round h to 5 decimal places. 0.00002 Let d = 0.184 - -0.136. What is d rounded to one decimal place? 0.3 Let i = 50.147 + -1.166. Let b = -49 + i. Round b to one dp. 0 Let h = 0.175 - 0.272. Let n = h + 0.035. Let v = n - -0.062078. Round v to five dps. 0.00008 Let p(v) = 37*v**2 + 9*v - 20. Let q be p(20). Suppose -x = -9*x + q. Round x to the nearest one thousand. 2000 Let u = 4.8 - -1.7. Let h = 6.5022 - u. Round h to three decimal places. 0.002 Suppose 0 = -5*s - 4*u + 25, 3*s + 3*u + 10 = 5*s. Let k(q) = -8 - 93*q - 3 + 2 + s. Let p be k(2). Round p to the nearest 100. -200 Let b(i) = i**3 + 12*i**2 - 18*i + 50. Let w be b(-24). Round w to the nearest 1000. -6000 Let f = 352.000382 - 352. What is f rounded to 5 dps? 0.00038 Let h = -1212 + 718. Let u = h + 494.000398. Round u to four decimal places. 0.0004 Let v = 0.179 + -0.178408. What is v rounded to five decimal places? 0.00059 Let c = 23.8 + 6.2. Let b = -29.3 + c. Let y = b - 0.69999945. What is y rounded to seven dps? 0.0000006 Let g = -468132.517 - -468182.6186302. Let d = 0.1037302 - g. Let q = -50 - d. What is q rounded to 3 decimal places? -0.002 Suppose -2*t = -3*t - 4*j - 14, -t = -3*j - 14. Suppose -5*q + 3*d = 3270 - 22270, -7600 = -2*q - t*d. What is q rounded to the nearest 1000? 4000 Let p = -1175758455.6 + 1175758541.60000093. Let a = p + -86. What is a rounded to 7 decimal places? 0.0000009 Let d = -2.2848 + 108.4948. Let b = d - 105. Let s = 1.20999921 - b. What is s rounded to 7 dps? -0.0000008 Let c = -32.03125211 + 65.03125338. Let m = 30 + -63. Let h = m + c. Round h to seven decimal places. 0.0000013 Let a(c) = -749*c**2 - 12*c + 19. Let k be a(8). Let w = 22013 + k. Round w to the nearest one hundred thousand. 0 Let w = 5.98 - -0.02. Let y = w - 5.9997. Round y to 3 decimal places. 0 Let y = 14.500901 - 14.5. What is y rounded to 4 dps? 0.0009 Let s be (64/56)/(4/(-14)*-1). Suppose s*u + 3*c = -0*c -
{ "pile_set_name": "DM Mathematics" }
d the second derivative of -k**3*w - 426232*k**2*w**2 - 7*k*w**2 - 39006*k*w - 2 wrt k. -6*k*w - 852464*w**2 What is the derivative of -210*f**3 + 7*f**2 - 48*f + 318295 wrt f? -630*f**2 + 14*f - 48 What is the second derivative of -1160221*f**2*o + 20*f*o - 3071*o wrt f? -2320442*o Find the third derivative of 125*i**2*k**3 - i**2*k - 15*i*k**3 + 7895*i*k**2 + 4*k**3 wrt k. 750*i**2 - 90*i + 24 What is the second derivative of 203231*m**2 + 268217*m wrt m? 406462 Find the second derivative of 1776*d**4*x**3 - 26*d**4*x + 448*d - 251*x**3 wrt d. 21312*d**2*x**3 - 312*d**2*x Find the third derivative of 5499*m**2*z**3 + 4*m**2*z**2 - 199852*m**2*z + m*z**3 - 6*z**3 + 1 wrt z. 32994*m**2 + 6*m - 36 Find the first derivative of 35087*i*x + 2294*i + 2 wrt x. 35087*i What is the third derivative of 4*a**2*o**3 + 185*a**2*o**2*r**3 - 2*a**2*r + 4*o**3*r**3 + 62*o**2*r**2 + o**2 wrt r? 1110*a**2*o**2 + 24*o**3 What is the third derivative of -466941*f**6 - 4*f**2 + 3727*f + 4 wrt f? -56032920*f**3 What is the second derivative of 19580*o**4 - 3*o**3 - o**2 + 142*o - 3? 234960*o**2 - 18*o - 2 Find the third derivative of -4555*a*l**4 + 16*a*l**3 - 11*a*l**2 + a + 822*l + 7 wrt l. -109320*a*l + 96*a What is the derivative of -a**3*r*y**2 + 7*a**3*y**2 + 39250*a**3*y + 373088*r*y**2 wrt r? -a**3*y**2 + 373088*y**2 What is the third derivative of 824305*o**2*x**3*y**3 - o**2*x**2*y**3 - 2*o**2*x**2 - 15010*o**2*y**3 - 2*o**2*y + 2*o*x**2*y**3 + o*x**2*y wrt x? 4945830*o**2*y**3 What is the first derivative of 64218*v**4 + 18386 wrt v? 256872*v**3 Find the second derivative of 11*f**3*p**2 - 731217*f**3*p - 81*f*p**2 - 6*p**2 wrt p. 22*f**3 - 162*f - 12 What is the third derivative of 1969203*b*w**5 - 2*b*w**2 - 4*b - 1131*w - 5 wrt w? 118152180*b*w**2 What is the third derivative of 650920*a**3*y**2 - 2*a**2*y**2 + 2989*a + 19*y - 1 wrt a? 3905520*y**2 What is the second derivative of 4*g**5 - 1488*g**3 - 5*g + 683 wrt g? 80*g**3 - 8928*g Differentiate 3*s**4 - 4*s**3 + 3875*s**2 + 558382 wrt s. 12*s**3 - 12*s**2 + 7750*s What is the derivative of -3*n**2*o**2 + 6*n**2*o + 362*n**2*x - 47*n**2 + 116*n*x**2 + 2*o**3*x**2 + o**3 wrt x? 362*n**2 + 232*n*x + 4*o**3*x Differentiate -258302*f + 83687 with respect to f. -258302 What is the second derivative of -135*a*h*z**2 + 107*a*h + 78*a*z**2 - 4*h*z - 2*h wrt z? -270*a*h + 156*a Differentiate 326807*t**4 + 175898 wrt t. 1307228*t**3 What is the second derivative of -11789*i**2*w - 11*i**2 - i*w - 860*w + 13 wrt i? -23578*w - 22 Find the third derivative of -f**2*g*k**3 - 4*f**2*g*k**2 - 12*f**2*g*k + 3481*g*k**3 - 6*k**3 - 119*k**2 wrt k. -6*f**2*g + 20886*g - 36 What is the second derivative of 1131601*k**2 + 1485034*k wrt k? 2263202 What is the first derivative of 262649*d**2 + d*h**3 - 73*h**3 - 177*h wrt d? 525298*d + h**3 What is the second derivative of 158155*v**5 + v**4 + v**2 + 6113138*v wrt v? 3163100*v**3 + 12*v**2 + 2 What is the third derivative of -25868*i**5 - 14*i**2 - 378*i wrt i? -1552080*i**2 Differentiate 168*v*y**3 + 278*v*y + v - 33532*y**3 + y**2 with respect to v. 168*y**3 + 278*y + 1 What is the second derivative of -4165543*a*m**2*q**2 - 2*a*m**2*q + 2*a*m**2 + a*m - 4*a - 21*m**2*q + 1708*q wrt q? -8331086*a*m**2 What is the third derivative of -5*l**5 + 8482*l**4 - 2*l**3 + 2560*l**2 + 25*l? -300*l**2 + 203568*l - 12 Find the third derivative of 9*b**3*o**3 - 99*b**3*w**2 + 110*b**3*z + 16*b**2*o**2*w**2*z + 2*b**2*o**2 - 6*b**2*o*w**2 + 6*b*o**3*w**2 + 93*b*o*w*z wrt b. 54*o**3 - 594*w**2 + 660*z What is the third derivative of -29*p*x**4 - p*x**3 - 29*p*x**2 + p*x + p - 9*x**4 - 15*x**3 + 18*x wrt x? -696*p*x - 6*p - 216*x - 90 Find the third derivative of -83592*l**6 - 88055*l**2 wrt l. -10031040*l**3 What is the first derivative of 3*i**4 - 8*i**3 - 1657*i**2 - i - 858402 wrt i? 12*i**3 - 24*i**2 - 3314*i - 1 What is the derivative of 15031*l + 21166? 15031 What is the third derivative of 2*u**5 + 7*u**4 + 134*u**3 - 5706*u**2 - u + 2 wrt u? 120*u**2 + 168*u + 804 Find the third derivative of 9860*g**2*z**6 + 1872*g**2 - g*z**6 - 4*g*z**2 wrt z. 1183200*g**2*z**3 - 120*g*z**3 What is the third derivative of -807027*r**3 - 76220*r**2? -4842162 What is the derivative of 3*i*k*m**2 + 13916*i*k - 5954*i*m - 2*i - 2*k*m**2 wrt m? 6*i*k*m - 5954*i - 4*k*m Find the third derivative of -224*j**2*v**4 - 57*j**2*v + 2*j - 37*v**5 - 66*v**2 wrt v. -5376*j**2*v - 2220*v**2 What is the first derivative of 161056*g**4 - 273316? 644224*g**3 Find the second derivative of 9*h**3*u**2 + 303*h**3*u + 2*h**3 + 4*h**2*u**2 + 232*h*u**2 - h - 2*u wrt u. 18*h**3 + 8*h**2 + 464*h What is the third derivative of 2427*k**6 - 199*k**5 - k**3 + 100017*k**2 - 3*k? 291240*k**3 - 11940*k**2 - 6 Differentiate c*r**3 - 42*c*r**2 + 466*c*r + 1954361*r**3 with respect to c. r**3 - 42*r**2 + 466*r Find the first derivative of 1082133*h**3*u + h**3 - h**2 + 12*h + 1272 wrt u. 1082133*h**3 What is the third derivative of -26*r*t**3 + r*t**2 - 76514*r + 16172*t**3 wrt t? -156*r + 97032 Differentiate -2*p**2 + 210132*p - 259737 wrt p. -4*p + 210132 What is the third derivative of 1280024*k**3 + 2373281*k**2 wrt k? 7680144 Differentiate 37783*r**2 + 40050 wrt r. 75566*r Differentiate -367*k*q*w**3 - 11*k*w**3 - k*w**2*y + 25*q*w**2*y + 14*w**3*y + y wrt q. -367*k*w**3 + 25*w**2*y What is the second derivative of -1755682*n**2 - 1864*n + 68 wrt n? -3511364 What is the derivative of 43792*f - 193953 wrt f? 43792 What is the second derivative of -7*n**2*y**2 - 2*n**2*y - 235*n**2 + 6*n - 5*y**2 - 152 wrt n? -14*y**2 - 4*y - 470 What is the derivative of 5922756*v**3 - 3412756 wrt v? 17768268*v**2 Find the third derivative of 852226*c**6 - 429*c**2 + 29 wrt c. 102267120*c**3 What is the third derivative of 1073782*r**4 + 601572*r**2? 25770768*r What is the first derivative of 1717557*g**3 - 344214 wrt g? 5152671*g**2 Find the second derivative of 15*j**3*t + 3*j**3 + 70*j**2*t - j**2 - 13*j*t - 2*j + 2*t + 435 wrt j. 90*j*t + 18*j + 140*t - 2 Differentiate 347*i**3 - 4*i**2 - 6*i - 40677 with respect to i. 1041*i**2 - 8*i - 6 Find the first derivative of 29907*v**3 - 45739 wrt v. 89721*v**2 What is the third derivative of -2125*l**3*q**2 + 10*l**3*q - 7*l**3 + 423*l**2*q + 6*l*q**2 + 2*l + 16*q**2 wrt l? -12750*q**2 + 60*q - 42 Find the second derivative of 117944*b**3*m**2 + 2*b**3*m - 71*b**3 + 5*b*m + 2*m**2 + 2 wrt m. 235888*b**3 + 4 What is the derivative of 21*r**3 + 4*r**2 - 42*r + 22859 wrt r? 63*r**2 + 8*r - 42 What is the third derivative of 369*f**3*k*v*z**3 - 1403*f**3*v*z**3 + f**2*k*v*z**3 + f**2*k*v*z**2 - 70*f*k*z**2 + 398*z**3 wrt f? 2214*k*v*z**3 - 8418*v*z**3 What is the third derivative of -40340*n**6 + 23*n**2 - 658*n? -4840800*n**3 What is the third derivative of -350905*v**5 - 197399*v**2 wrt v? -21054300*v**2 What is the second derivative of -10*g**5 + 572*g**3 - 109346*g wrt g? -200*g**3 + 3432*g Differentiate -a**4 + 780*a**2 - 7*a - 27399 with respect to a. -4*a**3 + 1560*a - 7 What is the first derivative of 34871*k*o**2 - 26357*k - o**2 + 8 wrt o? 69742*k*o - 2*o What is the third derivative of 334*m**4*v**3 + 9*m**4 + 2*m**3*v**2 + 55*m**2*v**3 + 67*m**2*v**2 - 3*m*v**3 + 2*m*v wrt m? 8016*m*v**3 + 216*m + 12*v**2 Find the third derivative of -1657279*p**3 + 5*p**2 + 309*p - 3. -9943674 What is the second derivative of 15*p**2*s*t**2 + p**2*s*t + 22*p**2*t - 11*p*s*t + p*s - 500*p*t**2 - 3*t**2 - 5*t wrt t? 30*p**2*s - 1000*p - 6 What is the third derivative of -264925*k**4 + 168*k**2 + 27*k - 2 wrt k? -6358200*k Find the third derivative of -13036*r**3 + r**2 + 46 wrt r. -78216 What is the third derivative of 630*a**2*g**4 - 4*a**2*g**2*v**2 + 84*a*g**2 + 13*g**4*v**2 - 3*v**2 wrt g? 15120*a**2*g + 312*g*v**2 What is the third derivative of -1597978*k**4 - 11*k**2 - 7234*k wrt k? -38351472*k Find the third derivative of 41892*u**4 - 2*u**3 + 354460*u**2 wrt u. 1005408*u - 12 What is the derivative of -3*q**3 + 623155*q - 6036946? -9*q**2 + 623155 Find the second derivative of 2*h**3*o**2*r + h**3*o*r - 17*h**3*r - 4*h**2*r - h*o*r + 42850*o**5*r + 3*o**2*r - 5*o*r wrt o. 4*h**3*r + 857000*o**3*r + 6*r What is the third derivative of -14648*p**3 + 2*p**2 + 6*p + 785 wrt p? -87888 Find
{ "pile_set_name": "DM Mathematics" }
(m) = 143*l(m) - 6*r(m). What is the remainder when 3/(9/(-83))*-3 is divided by d(-5)? 17 Let p(j) = -43*j + 1. Suppose 0 = 3*l + 3 - 0. Let m = 2693 - 2681. What is the remainder when p(l) is divided by m? 8 Let q = -7 + 8. Let x be -2*(-7)/14*1. What is the remainder when 23 is divided by 2 + 0 + x + 11/q? 9 Suppose 432*x - 402*x - 2670 = 0. What is the remainder when 610 is divided by x? 76 Let f(o) = 2*o**3 + 5*o**2 - 2*o - 3. Suppose -4*k + k + 9 = 0. Let v be f(k). Let u = v + -41. What is the remainder when u is divided by 13? 10 Suppose -5*i + 71 = -2*j, -93 + 31 = -5*i - j. What is the remainder when 661 is divided by i? 11 Suppose 3*s = 123 + 102. Suppose -86 + 436 = -35*y. Calculate the remainder when s is divided by (-476)/(-30) - (y/(-75))/(-1). 11 Suppose 0*b - 3*b - 9 = -3*w, 4*b = -4*w + 44. Suppose 9*s - 1328 = -w*s. What is the remainder when s is divided by 5? 3 Let c(n) = -21*n - 878. Calculate the remainder when 3847 is divided by c(-42). 3 Let l = -100 - -141. Let x = 233 - 101. Let s = x + l. Calculate the remainder when s is divided by 44. 41 Let c = -793 + 791. Let q(f) = -f + 3. Let k be q(-3). Calculate the remainder when 24 is divided by c*((105/k)/7)/(-1). 4 Let a(b) = 21*b**2 - 2*b + 252. Calculate the remainder when a(0) is divided by 18. 0 Let z(r) = -r**3 + 4*r**2 + 76*r - 65. What is the remainder when z(-9) is divided by 7? 3 Let c = -109 + 129. Let u = 150 + -94. Calculate the remainder when u is divided by c. 16 Let q = 209 + -203. Suppose 9*v - 105 = q*v. Calculate the remainder when 63 is divided by v. 28 Let i be (-1617)/(-15) + 1/5. What is the remainder when ((-44)/(-20) - ((-93)/(-15) + -5))*19 is divided by 1/(-5) + i/15? 5 Let p(y) be the first derivative of -21 + 5*y - 3*y**2 - 4*y + 11 + 7*y**2. What is the remainder when p(1) is divided by 5? 4 Let j(v) = -v**3 - 8*v**2 + 7*v - 35. Let a(z) = -5*z - 101. Let t be a(-18). Calculate the remainder when j(t) is divided by 9. 8 Let x(n) = 172*n + 416. What is the remainder when x(0) is divided by 102? 8 Let t = -469 + 128. Let q = t + 361. Calculate the remainder when 38 is divided by q. 18 Suppose 4*w - 84 = w. Suppose -211*f + 215*f = w. Calculate the remainder when 11 is divided by f. 4 Let t be (102/18 + -5)*-3. Let b(x) = 9*x**2 + 6*x - 3. What is the remainder when 58 is divided by b(t)? 16 Let f be 260 - (1 + -3)*-1. Suppose -12*b + f + 78 = 0. What is the remainder when b is divided by 16? 12 Suppose -2*a - 54 = -3*a. Suppose -l = 5*m - 140, 367*l + 322 = 369*l - 4*m. What is the remainder when l is divided by a? 47 Suppose -234 = 28*n - 46*n. Let y(d) = d**2 + 4*d + 4. Let h(t) = -t**3 - t**2 + t - 10. Let l be h(0). Calculate the remainder when y(l) is divided by n. 12 Let d = 1929 - 1855. What is the remainder when 1923 is divided by d? 73 Let l(p) = -29*p - 3. Suppose 5*s + 17 = 2*q, 11*s - 13*s = -4*q + 10. Calculate the remainder when l(-2) is divided by (4*(92/16 + -1))/q. 17 Suppose -249*b = -694*b + 314 + 7251. What is the remainder when 66/4 - (-2)/4 is divided by b? 0 Suppose 436 = 4*v - 28. Suppose k - 2 = 0, -4*t - 7*k = -5*k - 24. Suppose -t*z = 4*l - 215, z - 2*z = l - 55. What is the remainder when v is divided by l? 56 Let k = -12433 - -13354. What is the remainder when k is divided by 232? 225 Let i(h) = -h**3 + 47*h**2 - 233*h - 282. Calculate the remainder when i(41) is divided by 36. 35 Suppose k + b = 4, 0 = 28*k - 24*k + 3*b - 12. Suppose k = 16*y - 534 - 826. What is the remainder when y is divided by 30? 25 Let c(r) = 1073*r + 312. Calculate the remainder when c(2) is divided by 60. 58 Let j be (-3)/(-6) + (-6)/4 - -69. Suppose -j = -9*v + 58. Suppose -6*m = -19 - 125. Calculate the remainder when m is divided by v. 10 Suppose -2003*i + 192 = -2018*i + 6417. What is the remainder when i is divided by 129? 28 Let f(y) = 6*y**3 + y**2 - y + 2. Suppose 12*z = 3*r, 3*r - 5*z - 12 - 23 = 0. Calculate the remainder when f(2) is divided by r. 12 Let q(t) = t - 15. Let m be q(9). Suppose -5*f + 251 = 3*k + 8, 0 = 4*f + 4*k - 188. What is the remainder when f is divided by 666/37 - (-1 - m)? 12 Suppose -5*h - 9 - 6 = 0. Suppose 20 = -2*s + 3*s. Calculate the remainder when 6/(-4) + 145/2 - h is divided by s. 14 Suppose 5*d + 9*p - 186 = 7*p, d = 4*p + 46. Let y = 305 - d. Calculate the remainder when y is divided by 15. 12 Let x = -151 - -78. Suppose 2*r + 3 - 2 = c, 3*c - 14 = -5*r. Calculate the remainder when (4/4 - x)/r is divided by 27. 20 Let o = 306 + -306. Suppose o = -20*j + 3845 + 1015. What is the remainder when j is divided by 13? 9 Let w(s) = -8*s - 6. Let x(i) = -i - 3. Let j be x(-7). Suppose -5*r = -2*l + 12, j*r - 2*l + 13 = 3*l. What is the remainder when w(r) is divided by 2? 0 Suppose 325*i - 329*i + 16 = 0. Suppose i*f + 22 = 2*a, f - 37 = -3*a + 24. Calculate the remainder when 33 is divided by a. 14 Let x(d) be the second derivative of -d**5/5 - 2*d**4/3 - 2*d**3/3 - 9*d**2 - 158*d. What is the remainder when x(-4) is divided by 65? 61 Let z be (-10)/5 + -108 + (-1)/1. Let l(i) = -i**2 - 11*i - 2. What is the remainder when l(-8) is divided by (-2)/(-3) - 2/(18/z)? 9 Let h(z) = z**2 - 2*z - 27. Let a be h(9). Suppose -9*g + 891 = a. What is the remainder when g is divided by 24? 23 What is the remainder when 29 is divided by (5 - (-30)/(-8)) + -67*4/(-16)? 11 Let u = -191 + 195. What is the remainder when 1/(-5)*u + 1524/5 is divided by 9? 7 Let f be (-3)/((-18)/(-4)) + 40/60. Suppose 3*m = -f*m + 51. Calculate the remainder when 40 is divided by m. 6 Let k be ((-600)/210)/((-2)/7). Suppose -k*h - 83 + 713 = 0. What is the remainder when h is divided by 16? 15 Suppose 3*p - 5400 = -7*p. Suppose l - p = -5*y, -2*l = 3*y + 3*l - 346. Calculate the remainder when y is divided by 11. 8 Let p(m) = m**2 - 44*m + 473. What is the remainder when 489 is divided by p(16)? 14 Suppose -3*z + 210 = 2*z. Let v = 184 - 177. Suppose -18 = -o - v. Calculate the remainder when z is divided by o. 9 Let f(o) = -o**3 + 3*o**2 + 12*o - 24. Calculate the remainder when 874 is divided by f(3). 10 Suppose -39*d + 16893 = 981. What is the remainder when 2052 is divided by d? 12 Let b(x) = -x**3 - 28*x**2 - 28*x - 9. Let d be b(-27). Suppose -d*g + 222 = -30. Calculate the remainder when g is divided by 5. 4 Suppose 4 = -2*h, 4*j + 12*h - 8*h = 760. Suppose -2*y = -546 + j. What is the remainder when y is divided by 4? 1 Let q be ((-1608)/24)/((-1)/2). Suppose 8*i - 6*i - q = 0. Suppose -133 - i = -5*w. What is the remainder when w is divided by 7? 5 Suppose -4*z - 234 = -9*z + 2*h, -3*z + 4*h + 146 = 0. Let d = 36 + z. What is the remainder when d is divided by 152/(-57)*42/(-4)? 26 Let j(s) = -4*s**3 - 2*s**2 - 5*s - 4. Let h be j(-1). Suppose h*o - 5*q - 83 = 0, 116 = o + 3*o - 4*q. Calculate the remainder when o is divided by 8. 7 Let k be 4 + -4 + 4 - 4. Let o be 4 + k + 14 + 0. Suppose 2*a = 5*a - o. Calculate the remainder when a is divided by 2. 0 Let c = 132 + -131. Calculate the remainder when 137 is divided by (-46 + c)*(2 + 144/(-60)). 11 Calculate the remainder when 74/481 - 5/65*-17301 is divided by 332. 3 Let a(x) = 6*x**2 + 229*x + 263. What is the remainder when a(-40) is divided by 8? 7 Let y = 201 + -192. Suppose c = 0, 5*l + 564 = y*l - c. What is the remainder when l is divided by 16? 13 Suppose -17*p + 10*p = 0. Suppose -5*z - 35 + 120 = p. Let m = 24 - -32. Calculate the remainder when m is divided by z. 5 Suppose w + 10 = 2*k, 2*k - 14 = -2*w + w. Suppose 4 = 7*i + 60. Let o(b) = -b**3 - 12*b**2 - 36*b - 17. Calculate the remainder when o(i) is divided by k. 3 Suppose -43723 = -111*c - 10531 + 69150. What is the remainder when c is divided by 44? 42 Suppose -2*v = 5*s + 4 - 8, -v + 2 = 2*s. Let p = 22 - -12. Calculate the remainder when (640/(-35))/(v/(-7)) is divided by p. 30 Suppose -8*l = 9*l - 1309. Suppose 81 = 3*j - 0*m - 3*m, -3*j + l = m. Let t(k) = k**2 + 2*k. Calculate the remainder when j is divided by t(-5). 11 Let n(z) = -5*z**2 + 129*z + 42. Suppose 8*w = -5*o + 4*w + 122, o + w - 24 = 0. What is the remainder when n(o) is divided by 9? 7 Suppose 0 = 430*z - 424*z - 24. Let a(j) = 7*j**2 - j. Let q be a(1). Let k = q + 8. What is the remainder when k is divided by z? 2 Let m = 96 - 110. L
{ "pile_set_name": "DM Mathematics" }
u = 13393/2 + -6692. What is the nearest to 1 in u, g, 2/5? 2/5 Let l = 0.24 + -1.04. Let x = l + 0.9. Which is the closest to x? (a) 0.2 (b) 4 (c) -3/2 a Let p = -0.29 + 0.09. Let n = p - 0.1. Let f = 0 - 0. Which is the nearest to 1? (a) f (b) 3 (c) n a Let q = 212.8 - 212.5. What is the nearest to -2 in -9, 3, 1/3, q? q Let y(d) = 2*d**3 + 6*d**2 + d + 7. Let n be y(-3). What is the closest to -3 in n, -0.6, 1? -0.6 Let m = 34 + -135/4. Which is the nearest to 1? (a) 2/15 (b) 2/17 (c) -3 (d) m d Let j = 41.0741 + 0.0259. Let n = 44 - j. Let w = n + -2.4. What is the nearest to -2 in 2, -5, w? w Let s be (-16 - (-21 + 7)) + (-2 - 0). Let i = 3.6 - 4. What is the closest to -0.4 in 0.1, i, s? i Let v = -0.42 + 0.02. Let s = 5.7 - 42.7. Let x = -36.6 - s. What is the nearest to -2/7 in x, v, -3? v Let d = -2140 - -2139.9. Which is the closest to -8? (a) -2/9 (b) d (c) 3/10 a Let b be 88 + -89 - 7/(-5). What is the nearest to 26 in 4, b, -2/7? 4 Let c = 357 - 356.9. What is the closest to c in -4, 30, 0.1, 1? 0.1 Let f be 3 - 44/10 - -1. Let x(z) = -z**3 + 11*z**2 + 10*z + 24. Let w be x(12). Let v = -5.3 + 5. What is the closest to w in -4, v, f? v Let j = -233 + 229. Let d(f) = -f**2 + 7*f - 1. Let y be d(7). What is the closest to 2 in j, y, 2/3? 2/3 Let g be -2 - (-652)/(-70) - 6/15. Let j = g + 12. Which is the nearest to 0.1? (a) j (b) 0.4 (c) 1 a Let g = 246 + -244.3. What is the nearest to 2 in -1/3, 3/7, g? g Let v(j) = -j - 7. Let x be v(-6). Let p be 1/(-3 - (-6 - x)). Let l = 159 - 160. Which is the nearest to -1? (a) p (b) -2/9 (c) l c Let y = 14 + -14.7. Let u = -1.7 - y. Let o = 9 - 4. What is the closest to u in 1/18, o, -1? -1 Let d = -261 + 261. Which is the nearest to -1? (a) -5 (b) -4 (c) d c Suppose -45 = 113*g - 98*g. Which is the nearest to -2? (a) 4/23 (b) 3 (c) g (d) -0.4 c Let k = -226 - -221. Let h = -39/164 + -1/82. Which is the nearest to 1? (a) h (b) k (c) 0.8 c Let y be (-1)/(-2)*12/(-10). Let v = 0.154 - 3.154. Which is the closest to -1/5? (a) v (b) y (c) 0.4 b Let f be -4 + 2 + -6 + -1. Suppose 3*p = -3*t - 45, t = -5*p + 7*p + 30. Let r be (f/27)/((-1)/p). Which is the closest to -4? (a) -2/13 (b) -2/5 (c) r c Let j = -221 + 220.96. What is the closest to 0 in 0.1, 2, j? j Let k = 1256 - 1252. Which is the nearest to k? (a) 0 (b) 1 (c) -3 b Let f = -732.72 + 731.72. Let c be 2/7 - (-2)/(-7). Suppose c = -0*m - 3*m. What is the nearest to 2 in -0.4, m, f? m Let v = 2.01 - 2. Let n = v - -2.99. Let j = -10 + 12. Which is the closest to n? (a) 0.2 (b) -0.2 (c) j c Let k(p) = p**3 - 11*p**2 - 5*p - 5. Let q be k(11). Let v be (-4)/(-24) - 26/q. Which is the nearest to 0? (a) v (b) -2 (c) -3 a Let f = -28.2 + 26.2. Which is the nearest to 0.1? (a) 0.4 (b) 4 (c) 1 (d) f a Let z be (-45)/(-27) - (-9)/(-6). Which is the closest to -3? (a) -34 (b) -5 (c) z b Let h = -2272 - -2269. Which is the closest to -1? (a) -1/37 (b) 5 (c) h (d) 0 a Let n = -70 + 73. Let r be 2/((-2 - -6)*n/66). What is the closest to 0.1 in 0.3, -2, r? 0.3 Let u be (-60)/(-35) + (-4)/(-14). Suppose 0 = t - 5*f + 13, -t - 2*t + 2*f = 0. Let i = 9 - 6. Which is the closest to t? (a) u (b) i (c) -0.5 a Suppose 5909*y - 5906*y - 3 = 0. Which is the nearest to -3/8? (a) -2 (b) -12 (c) y c Let d = 0.02 - 2.02. Let g = 6330 - 6329.9. What is the closest to 0 in 6, g, d? g Let o be 10*(-7)/(385/22). Which is the closest to 2/3? (a) o (b) 4 (c) 6 b Let x = 1.1 - 13.1. Let a = x - -10. Let h = a + -2. What is the closest to h in 5/6, -2, -3/2? -2 Let b = -90 - -60. Let r = b + 32. Let t = 0.7 + 0.3. What is the closest to -1 in 0, t, r? 0 Let l be 3/6*0 + -1. Suppose 2 = r - 0*r. Suppose -3 = -r*i + i. What is the closest to i in l, -2/13, 2/7? 2/7 Let j = -42 - -45.5. Let i = j - 6.5. Let v = 0.1 + -0.1. Which is the nearest to v? (a) 0.5 (b) -1 (c) i a Let g be ((-2)/(-10))/(0 - -1). Let a be 1*(-2)/(-6)*12. Let y be (13 - -3)/a + 2 + -2. What is the closest to 0 in g, -2, y? g Suppose -5*w - 8 - 22 = 5*m, 5*m = w. Let i = 3.6 + 0.4. Let s = -13 + 9. Which is the nearest to m? (a) -0.4 (b) s (c) i a Let z = 5.9 - 6. Let s = -27 + 27.4. Let n = -0.5 + s. Which is the nearest to n? (a) 0 (b) 0.4 (c) z c Let n = -6.4 - -6.9. Let m = -41 - -42. Let r be 1 - -1 - (-6)/(-8). What is the nearest to m in r, 4, n? r Let r be 539/(-882) + 1/9. Which is the closest to r? (a) 4 (b) -1/7 (c) 48/13 b Let c = -3.22 + 0.22. Let s = 26.08 + -25. Let q = -0.08 + s. What is the nearest to q in 0.4, -2/5, c? 0.4 Let x = 1.5 + -1.1. Let k = 2 + -1.7. Let c be ((-12)/8)/((-2)/(-4)). What is the closest to k in c, 4, x? x Let l = 43 - 41. Let c = -56 - -55. What is the closest to c in -0.4, l, -5? -0.4 Suppose 0 = -2*l - 2*m - 8, 5*l + 2 - 27 = 4*m. What is the closest to l in 4, 3/5, 1, 2/5? 1 Let g = 286 + -859/3. Which is the nearest to g? (a) 1 (b) 3 (c) -1 c Let f = 1506/77 - 212/11. Let u(z) = -2*z - 1. Let y be u(2). What is the nearest to 4 in y, 0.5, f? 0.5 Let v = -508/7 + 72. Let f = 90/19 - 1985/399. Let h = f - v. Which is the nearest to 0? (a) -0.3 (b) -4 (c) h a Let p = 1 + 0. Let u = -7/31 - 37/248. Let l be (-6)/(-24) - (-14)/(-24). What is the nearest to l in p, u, -1? u Let k be 2 - (1 - 3) - (-28)/(-8). Which is the nearest to k? (a) 3/4 (b) 0 (c) -0.3 a Let o = 31.7 - 34.7. What is the nearest to 45 in o, -0.4, -5? -0.4 Let c = 0.13 + -0.03. Suppose 3 = -a - 2*b, -4*a + 2*b + 3*b = -27. What is the nearest to 3/2 in 0.2, c, a? 0.2 Let u = -0.011 + 0.011. Let o = -20 - -22. Let f = -45/7 + 47/7. Which is the closest to o? (a) f (b) 5 (c) u a Let x = -9 - -11.5. Let n = 2 - x. Let z = -1542/11 - -140. What is the nearest to 0.2 in n, z, -2? z Let x = -370 + 355. Which is the closest to 8? (a) 5 (b) x (c) 0.3 a Let q be 3/9*(286/55)/(-13). Let v = 0 + -0.1. Let s = -0.3 + 0.2. What is the nearest to v in s, q, 1/4? s Let p = -1657 + 1657.3. Which is the closest to 0.1? (a) -0.18 (b) 1 (c) p (d) 0 d Let u = -1 - 0. Suppose 66 = -577*n - 1088. What is the nearest to n in -0.5, u, 0.3? u Let x = -15 - -68. Let n = x + -52. What is the nearest to -2 in n, 0, 6? 0 Let r = -0.98 - -0.78. What is the nearest to -1.4 in 0, r, -0.1? r Let p = 0.9 + -0.5. Let m = 163 - 162. Let i = 249 - 246. What is the closest to m in i, p, -0.5? p Let x = 3.3 - 3. Let u = 27.6 - 27.46. What is the closest to -1 in u, 0.2, x? u Let h = -1.64 - -0.14. Let s = 1.4 + h. Let w = -2 + 2. Which is the nearest to s? (a) w (b) -0.3 (c) 4/7 a Let s(x) = -x**2 - 18*x - 19. Let o be s(-16). Suppose -3*h - c = o, h - c + 0 + 3 = 0. What is the nearest to -1/4 in 2/15, 2, h? 2/15 Let h = -1.63 + -0.47. Let i = h + 3.1. What is the closest to 0 in 0.2, i, -2/5? 0.2 Let o = -10727/11 - -975. Which is the nearest to 2/11? (a) 3 (b) o (c) 4 (d) -2/3 b Let v = -1/29 - 55/87. Let t = 4.82 - -0.18. Which is the nearest to t? (a) 3 (b) v (c) 0.2 a Let f = 0.172 + 0.028. Let o = -1.94 + -0.06. Let s = -2 + o. What is the closest to 0 in -2, f, s? f Let s = 0.01811 - 0.01811. Let f be (9 + -1)*2/(-20). Which is the closest to s? (a) -0.5 (b) -3 (c) f a Let f = -659 + 661. Which is the nearest to f? (a) 0.3 (b) -0.8 (c) 0.2 (d) -5 a Let a = 4/7 + 1/35. Let z = 21 - 21. Let m(d) = -d**3 - d**2. Let c be m(z). What is the closest to c in -0.4, a, 1/5? 1/5 Let o = -6 - -12. Let f be ((-1)/((-2)/(-4)))/o. Which is the closest to 0.1? (a) -4/3 (b) f (c) -2 b Let x = -0.292 + -4.708. What is the nearest to -2/5 in x, -7, -6? x Let s = -15.956 - 0.044. Let t = s + 18. Which is the closest to -1/4? (a) -2 (b) -0.2 (c) t b Let w = 23.23 + -0.23. Let j = w - 13. Let p = j + -12. Which is the closest to -1/4? (a) -5 (b) -1/2 (c) p b Let s be -6 + 13/(156/80). Which is the nearest to s? (a) -0.075 (b) -1 (c) -4/5 a Let q be 0*3/9 - 192/(-1056). What is the nearest to 0 in 2/295, 2/9, q? 2/295 Let o = 14.78 + -17.78. Which is the closest to o? (a) -0.2 (b) -2 (c) 4 (d) -1/4 b Let g = 0.0888 - -0.0112. Which is the nearest to 4? (a) 0.5 (b) g (c) 7/9 c Let f be (-1*1)/(-2 + 4 + -7). What is the nearest to f in -3/7, -4, 0.5, 2? 0.5 Let m = -18529198457375/5234002093122 - 1/1618930434. L
{ "pile_set_name": "DM Mathematics" }
s digit of o? 7 Suppose -686*f = -680*f. Suppose f = -64*n + 68*n + 4*r - 2996, n = 5*r + 743. What is the tens digit of n? 4 Suppose -11*y + 159879 = 425 + 25166. What is the ten thousands digit of y? 1 Suppose -5*r + 4645 = 5*w, -6*r + 8*r - 2*w = 1838. Suppose 5*g = 8*g - r. What is the hundreds digit of g? 3 Let j(y) = 19*y - 15. Let h be j(1). Suppose 5*n - h*r - 166 = -0*r, 78 = 3*n + 3*r. What is the units digit of n? 0 Suppose -1083 + 115 = -22*j. Let n = 91 - j. What is the tens digit of n? 4 Let a = 9093 + -1048. What is the thousands digit of a? 8 Suppose -14*q - 56 = -0*q. What is the units digit of 78/q*136/(-12)? 1 Let r = 114 - 99. What is the tens digit of 6/r - 4428/(-30)? 4 Let r be (522/(-10))/(6/(-30)). Let t = 442 - r. Suppose 2*u = t - 55. What is the tens digit of u? 6 Let p(o) = 2*o + 17. Let k be p(-7). Suppose -10 - 35 = -k*i. What is the units digit of (3/(i/2))/((-2)/(-440))? 8 Let f(w) = 7*w**3 + 7*w**2 + 53*w - 508. What is the hundreds digit of f(11)? 2 Suppose 0 = -f - 2*j - 14, 3*f + 18 = -4*j + 6*j. What is the units digit of (-29)/((9 - 5)/f)? 8 Suppose 12*u - 16598 = 13222. What is the tens digit of u? 8 Let m(d) be the first derivative of -27*d**2 - 10*d + 2138. Let t(n) = -2*n**2 - 3*n. Let r be t(-2). What is the units digit of m(r)? 8 Let k = 33679 - -29596. What is the units digit of k? 5 Let m be 50052/25 + (-16)/200. Suppose -3*t - 4*o + m = o, 4*t - 2651 = -3*o. What is the tens digit of t? 5 Let a(d) = 14*d**3 + 4*d**2 - 3*d - 7. Let b be a(4). Let m = 1983 - b. What is the tens digit of m? 4 Suppose 2*b = -3*f + 32, f - 3*b - 2 + 6 = 0. Let v be (-10)/3*((-2244)/f - 0). Suppose 185 = -6*x + v. What is the units digit of x? 5 Suppose -17 = -2*z - 13. Suppose -z*y + 2114 = 2*k, -k = 3*y + 192 - 1251. What is the hundreds digit of k? 0 Suppose -5*x = -5*h + 5485, 2*x - 15 = -x. What is the units digit of (h/57)/(3/54)? 8 Suppose -2*f + 8 = z, -5*f + 4*z - 11 = -31. Suppose -3*i + 2*i + 146 = -3*w, f*i = 2*w + 534. What is the units digit of i? 1 Let k = -34 + 37. Let i be (2/(-5))/(k - 364/120). What is the units digit of (3/(-9) - (-4)/i) + 120? 0 Let m = -1731 + 871. Let r = m + 589. Let o = 429 + r. What is the units digit of o? 8 Suppose s + 3*h - 4829 = 0, 30*h - 34*h = -2*s + 9628. What is the hundreds digit of s? 8 Suppose 3*c - 2*t - 38 = 0, -c + 4*t + 16 = 5*t. What is the hundreds digit of (-4)/c - ((-11840)/35 + -7)? 3 Suppose -4*j = -c + 53858, -11*j = 3*c - 95051 - 66684. What is the thousands digit of c? 3 Suppose -2252*t + 2269*t = 79173 + 15330. What is the hundreds digit of t? 5 Suppose 523*q - 504*q - 274963 - 118223 = 0. What is the tens digit of q? 9 Suppose -504 = 14*f + 672. What is the units digit of (f - (-3 + 3))*95/(-15)? 2 Suppose -72*t + 3*i = -77*t + 13356, 4*t + 4*i = 10680. What is the hundreds digit of t? 6 Let m = 15241 + -10383. Suppose -3*t + m = 5*j - 7*t, -1960 = -2*j - 4*t. What is the hundreds digit of j? 9 Suppose -2*u = w - 40887, -123*w + 3*u = -116*w - 286362. What is the hundreds digit of w? 9 Suppose -2*v + 10*x - 7*x - 20 = 0, 0 = -v + 4*x. Let l(y) = -52*y - 145. What is the hundreds digit of l(v)? 6 Let j be 2 - (-310 - (-13)/(39/(-18))). Let y = j + 150. What is the units digit of y? 8 Let l(u) = -u**2 - 23*u - 20. Let b be l(-11). Let n be -40*((-2)/6 - b/6). Suppose -4*f + n = 4*f. What is the units digit of f? 5 Let r(d) = 2*d**2 + 4*d + 14. Let j be r(-5). Let q = 235 - j. Suppose -q = -8*y - 23. What is the units digit of y? 1 Suppose 0 = -q + f + 11901, 1147*q - 1142*q = -f + 59523. What is the units digit of q? 4 Let y = 88 + 51. Suppose -3*m - 5*z + 2172 = 0, -5*z + 575 + y = m. What is the units digit of m? 9 Let g = 513 + -689. What is the tens digit of (2 + 116)/(2/g*-11)? 4 Let d = -712 + 1207. Suppose -18*f = 27*f - d. What is the units digit of f? 1 Let h = -145 + 257. Let l = -78 + h. What is the tens digit of l? 3 Let s(z) = -1528*z - 10. What is the thousands digit of s(-3)? 4 Let m(n) = -2*n + 6. Let t be m(-9). Suppose 3*b = -5*w + 135, -b - b = -5*w - 90. Let p = b - t. What is the units digit of p? 1 Let o = 7700 - -8367. What is the hundreds digit of o? 0 What is the units digit of (-4)/(-14)*1 + 37/((-1295)/(-27220))? 8 Let s be (-6)/((-18)/(-15)) + 25. Let a(l) = 4*l + 62. Let q be a(s). Suppose q - 529 = -3*h. What is the hundreds digit of h? 1 Let f = 131799 - 88912. What is the thousands digit of f? 2 Let r = -124 + 687. Let f = -373 - -650. Suppose 7*z - r = f. What is the hundreds digit of z? 1 Suppose 47 - 124 = -7*z. Let y = 13 - z. Suppose y*s - s = 2*w + 32, 3*s - 5*w = 98. What is the units digit of s? 6 Let l(a) = -a**3 + 10*a**2 - 7*a - 1. Let w be l(8). Suppose 2*c - 98 = -28*f + 26*f, 5*c = 5*f - 205. Let o = w - f. What is the tens digit of o? 2 Let k be (2 + 220/(-35))/(3/84). Let m = k - -164. What is the tens digit of m? 4 Suppose 2*h - 31 = -23. Let l(w) be the third derivative of 9*w**4/4 + 5*w**3/6 - 13*w**2. What is the hundreds digit of l(h)? 2 Suppose 8*d - 40544700 = -441*d. What is the thousands digit of d? 0 Suppose -2*b - 41 - 37 = 0. What is the hundreds digit of 5 - (-13)/(b/(-606))? 2 Let m = -49 + 52. Suppose m = 3*a - 2*a. What is the units digit of (25 + 2)*9/a? 1 Let v be 20/650*5 - 2172348/(-26). Suppose 81*m - v = 25*m. What is the units digit of m? 2 Suppose -4*b - 4*h = -176231 + 29995, -109689 = -3*b + h. What is the tens digit of b? 6 Let u(m) = 14*m**2 - 16*m - 90. Let b be u(-5). Let k = 313 + b. What is the hundreds digit of k? 6 What is the hundreds digit of (2 - 0)*(-62)/372*-20955? 9 Let z(f) = -f**3 - 17*f**2 - 22*f - 155. What is the hundreds digit of z(-22)? 7 Let s = 141 - 139. What is the tens digit of 9*(16/(-60))/(s/(-55))? 6 Let q(x) = -495*x**3 + 27*x**2 - 3*x + 1. What is the tens digit of q(-2)? 7 Suppose -43*u + 52*u = 297. Suppose 0 = 31*a - u*a - 2*z + 2628, a - 1330 = -5*z. What is the units digit of a? 0 Let p = -6 - 38. Let w = 46 + p. What is the tens digit of (-1228)/(-34) + w/(-17)? 3 Suppose -3*n = 2*f + 12, -3*f + 20 = -5*n - 8*f. Let y be ((-6)/n*-4)/(-2). Let x(c) = 44*c + 21. What is the tens digit of x(y)? 5 Let i(y) = 13*y**3 - 15*y**2 - 62*y + 448. What is the tens digit of i(9)? 5 Suppose 4*a = -c - 4*c - 126, 0 = 4*a - 5*c + 146. Let h = a + 37. Suppose h*k - 294 = -2*x, -5*x + 480 = -4*k - 255. What is the tens digit of x? 4 Let g = 5277 + -4075. What is the tens digit of g? 0 Let h = -16 - 75. Suppose -5*f + 1345 = 5*a, 15*f - 17*f + 535 = -a. Let z = f + h. What is the units digit of z? 7 Let v be -3 - (-5 + -1) - 0/8. Suppose 136 = v*t + 2*a, 2*t - 67 = 3*a + 15. What is the tens digit of t? 4 Suppose 5*u + 4 = 49. Suppose u*r - 8 = 28. What is the tens digit of (r + (2 - 39)*-2)*2? 5 Let l(f) = 2*f**3 - 14*f + 205. What is the tens digit of l(15)? 4 Suppose 4*q = 9*q + 3*a - 29, -5*q + 2*a + 39 = 0. Suppose 13*p - q*p = 750. What is the tens digit of p? 2 Suppose -5*k = p - 1955, 5*p = 5*k + 9050 + 845. Suppose s = 2*b + p, -b - 1 = -0. What is the hundreds digit of s? 9 Suppose 5*g = 8*j - 4*j - 40831, 5*j - 4*g - 51041 = 0. What is the hundreds digit of j? 2 Let q(z) = 30*z**3 - 8*z**2 + 49*z - 156. What is the hundreds digit of q(7)? 0 Let z be ((-9)/117*-13)/(1 - 0). Let h(p) = 1601*p**2 - 4*p - 1. What is the thousands digit of h(z)? 1 Let s be 701 + (-40)/(-25)*(-15)/6. Let c = s + -141. What is the tens digit of c? 5 Suppose 5*h - l = -6*l - 5, 4*h - l = 1. What is the units digit of 1*(8 + -5 - h/(-2))? 3 Suppose -6*n = -30 - 12. Suppose n*x + 12 = 13*x. What is the tens digit of x*3*30/9 + 1? 2 Suppose 2*l + 6821 - 20319 = 4*u, 5*u = 3*l - 20244. What is the thousands digit of l? 6 Suppose -p - 5 - 3 = 0. Let x be p/(-24) + (-28)/(-6). Let d(q) = 3*q**2 - 6*q + 12. What is the units digit of d(x)? 7 Let g = 14310 - 3445. What is the thousands digit of g? 0 Let q(s) = -11*s + 106. Let d(o) = -12*o + 104. Let j(u) = 6*d(u) - 8*q(u). What is the hundreds digit of j(50)? 5 Suppose 20*b = -49*b + 299115. What is the hundreds digit of b? 3 Suppose 3*m - 24 = 2*m + 5*d, -4*m - 5*d = -21. Let n(i) = -m*i + 5*i - 17*i. What is the units digit of n(-3)? 3 Suppose 5*z - 3*y = 12216, 406*z - 9774 = 402*z + 2*y. What is the units digit of z? 5 Let
{ "pile_set_name": "DM Mathematics" }
= 10*g. What is r(a(i))? -20*i Let t(h) be the third derivative of h**5/60 - 4*h**2. Let y(s) = 1229 - 146*s - 1229. What is y(t(k))? -146*k**2 Let v be (-50)/(-20)*4/5. Let j(m) = m**2 + 2*m**v + 0*m**2. Let t(k) = -2*k**2 - 3. Let z(r) = 2*r**2 + 2. Let h(b) = 2*t(b) + 3*z(b). Calculate j(h(l)). 12*l**4 Suppose 30 = -0*c + 5*c. Let i(o) = -o**2 - 45*o**2 - c*o**2. Let n(f) = -f**2. Let h(d) = i(d) - 39*n(d). Let a(r) = r. Calculate h(a(k)). -13*k**2 Let f(k) be the first derivative of -5*k**3/3 + 7. Let p(u) = 7*u**2 + 2. Let w(b) = 15*b**2 + 5. Let l(q) = -5*p(q) + 2*w(q). What is f(l(v))? -125*v**4 Let s(x) be the second derivative of -x**3/3 + 24*x. Let o(u) = 465*u**2. Calculate o(s(p)). 1860*p**2 Let v(i) = 6*i. Let s(l) = 33*l + 73. Determine s(v(f)). 198*f + 73 Let x(a) = 11*a**2 + 0 + 0. Let s(v) = -8*v - 10971*v**2 + 8*v + 10970*v**2. Calculate x(s(p)). 11*p**4 Let g(r) = 4*r**2 + 7*r - 29. Let b(i) = -3*i**2 - 5*i + 19. Let u(s) = 7*b(s) + 5*g(s). Let c(d) = d**2. Determine c(u(v)). v**4 + 24*v**2 + 144 Let i(y) = 76*y**2 - 728 - 13*y**2 + 728. Let l(t) = -11*t**2. What is l(i(f))? -43659*f**4 Let u(l) = 3*l**2. Let g(n) = -323*n + 323*n + 32*n**2. What is u(g(k))? 3072*k**4 Let w(u) = u + 0*u - 5*u. Let y(x) be the first derivative of 7*x**3/3 + 113. What is y(w(o))? 112*o**2 Let y(w) be the third derivative of -133*w**4/24 - 192*w**2. Let c(v) = -9*v. Determine y(c(d)). 1197*d Let r(x) = -11*x**2 + 2*x. Let u(k) = 214*k - 414*k + 208*k. What is u(r(c))? -88*c**2 + 16*c Let y(z) = 403*z. Let d(h) = -77*h - 49. What is y(d(k))? -31031*k - 19747 Let l(u) = u + 23. Let h(q) = -4*q + 1540. Determine l(h(k)). -4*k + 1563 Let p(q) = 1823*q**2. Let k(w) = 21*w + 1. Calculate k(p(y)). 38283*y**2 + 1 Let h(g) = g**2 - 4*g - 8. Let f(v) = v**2 - v - 2. Let p(z) = 12*f(z) - 3*h(z). Let k(m) = 15*m**2. What is k(p(o))? 1215*o**4 Let p = 169 + -169. Let u(c) be the third derivative of p + 0*c + 1/30*c**5 + 0*c**3 - 4*c**2 + 0*c**4. Let f(l) = -4*l. What is f(u(o))? -8*o**2 Let b(a) = 10*a**2. Let q(c) = -7*c + 574 - 292 + 24*c - 282. Determine b(q(x)). 2890*x**2 Let u(z) = -z**2 + 3*z + 1. Let q(g) = 126*g**2 + 9*g + 3. Let x(l) = 6*q(l) - 18*u(l). Let w(m) = m. Give x(w(k)). 774*k**2 Let w(l) = l**2 + 13*l**2 + 2*l**2. Let r(t) = -28*t. What is w(r(v))? 12544*v**2 Let o(n) = n. Let s(z) = -449413*z**2. Give o(s(u)). -449413*u**2 Let d(x) = 1561*x + 1. Let w(s) = 2*s. Calculate w(d(g)). 3122*g + 2 Let b = -49 + 49. Let r(j) = b*j + 4*j - j - 2*j. Let s(q) = 2*q**2 + 2*q**2 - 6*q**2. Give s(r(p)). -2*p**2 Let n(i) = 101 - 101 - 3*i. Suppose -2 = 3*y + f - 9, -3 = y - 5*f. Let b(c) = c**2 + c**2 - 3*c**2 - 7*c**y. Calculate n(b(z)). 24*z**2 Let c(s) = 27*s + 555. Let p(g) = 12*g**2. Give p(c(k)). 8748*k**2 + 359640*k + 3696300 Let h(l) = -2*l**2. Let x(g) = -4*g**2 + 6887*g - 5. What is x(h(j))? -16*j**4 - 13774*j**2 - 5 Let c(j) be the third derivative of j**6/720 - 17*j**4/8 + 49*j**2. Let z(w) be the second derivative of c(w). Let k(i) = i**2. Give z(k(s)). s**2 Let t(d) be the second derivative of -1/20*d**5 + 0*d**3 + 0 + 0*d**4 - 2*d**2 - d. Let j(z) be the first derivative of t(z). Let x(s) = 2*s. Give x(j(n)). -6*n**2 Let m(o) = -6*o**2. Let p(g) = 36 + 20 - 2*g - 56 - g. Give m(p(s)). -54*s**2 Let l(a) be the first derivative of 4*a**3/3 + 64. Let i(b) be the first derivative of 5*b**2/2 + 3. Calculate i(l(k)). 20*k**2 Let n(j) = -83*j. Let w(i) = 990*i. Give w(n(d)). -82170*d Let i(s) = -7*s - 22. Let v(d) = -2*d. Let h(q) = i(q) - 3*v(q). Let k(j) = -j**2. What is k(h(y))? -y**2 - 44*y - 484 Let m(o) = 3*o - 3. Let x(z) be the first derivative of -z**3/3 + 75. Calculate m(x(k)). -3*k**2 - 3 Let s(o) = -53419*o - 68*o**2 + 53419*o. Let k(a) = -3*a**2 - 17*a. Let z(q) = q**2 + 6*q. Let f(y) = -6*k(y) - 17*z(y). Calculate f(s(p)). 4624*p**4 Let t be 180/54*(-2 - (-14)/4). Let h(w) = -12*w - 14*w + 32*w - t*w. Let m(p) = 16*p. Give h(m(y)). 16*y Let v(u) = -2*u. Let y(j) = -j - 1046. Calculate y(v(q)). 2*q - 1046 Let s(r) = -226884*r. Let x(w) = w. Determine s(x(a)). -226884*a Let v(u) = -13*u - 4. Let m(z) = -1545*z. Calculate v(m(y)). 20085*y - 4 Let i(v) = -5*v + 33. Let j(h) = -8*h + 55. Let k(n) = -5*i(n) + 3*j(n). Let u(f) = 5*f - 6*f + f + 33*f**2. Determine u(k(p)). 33*p**2 Let f(l) = l**2. Let x(z) = -47*z**2 + 13*z + 9. Let y(d) be the first derivative of -4*d**3 + 3*d**2/2 + 2*d + 50. Let r(u) = -2*x(u) + 9*y(u). Give f(r(k)). 196*k**4 - 28*k**3 + k**2 Let p(x) = 78610*x. Let k(b) = -6*b. What is k(p(h))? -471660*h Let n(z) = -6*z**2 - 10131. Let k(m) = -3*m**2. What is n(k(d))? -54*d**4 - 10131 Let x(d) = -12*d. Let f(y) = -10*y**2 + y + 15. Give f(x(z)). -1440*z**2 - 12*z + 15 Let o(y) = y**2 - 5*y - 32. Let w be o(11). Let z(r) = -w*r - 9*r**2 + 34*r. Let n(g) be the second derivative of g**4/6 - g. Calculate n(z(p)). 162*p**4 Let w(v) = -v**2 + 471123*v. Let c(q) = 3*q. What is c(w(p))? -3*p**2 + 1413369*p Let q(n) be the first derivative of 7*n**5/120 - 16*n**3/3 - 14. Let x(i) be the third derivative of q(i). Let k(o) = -2*o. Calculate k(x(h)). -14*h Let b(l) = 8*l**2 + 4*l - 8. Let i(w) = -w**2 - w + 2. Let z(q) = -b(q) - 4*i(q). Let s(d) = -6*d. What is s(z(u))? 24*u**2 Let u(h) = 6*h**2 + 4. Let p(y) = -4313*y. What is u(p(o))? 111611814*o**2 + 4 Let m(b) be the third derivative of b**5/20 + 83*b**2. Let i(g) = -13*g. Calculate m(i(n)). 507*n**2 Let w(j) = 185*j**2. Let h(t) = 2 - 7835*t**2 - 2 + 7836*t**2. What is w(h(m))? 185*m**4 Let b(a) be the third derivative of 839*a**5/60 + 2*a**2 - 153*a. Let h(x) = x. Give b(h(f)). 839*f**2 Suppose 4*z - z = 6. Let c(a) = -2*a**2 - 4*a**2 + 5*a**z - a**2. Let o(v) = 22*v**2. Determine o(c(u)). 88*u**4 Let w(o) = 26717*o**2. Let y(j) = 2*j**2. Determine y(w(g)). 1427596178*g**4 Let u(o) = -o. Let v(x) = 6 - 10 + 4 + 15*x. Calculate v(u(t)). -15*t Let r(l) = -10*l**2. Let v(c) = -2*c**2 - c. Let m(o) = -12*o**2 - 9*o. Let s(g) = m(g) - 9*v(g). Give s(r(q)). 600*q**4 Let n(f) = -4*f**2. Let g(a) = 2*a + a - 10 - 7*a + 10*a - 4*a. What is g(n(m))? -8*m**2 - 10 Let x(u) be the first derivative of 0*u**2 + 0*u**3 + 4*u - 1 - 1/6*u**4. Let v(l) be the first derivative of x(l). Let y(h) = -2*h**2. What is y(v(c))? -8*c**4 Let g(c) = -2*c + 42. Let m(k) = -1055*k**2 + 510*k**2 + 546*k**2. Determine g(m(d)). -2*d**2 + 42 Let z(q) = -4*q - 21. Let i(w) = 69*w - 20*w - 20*w - 22*w - 11*w. Determine z(i(m)). 16*m - 21 Let a(y) = 10*y**2 + 7*y + 28. Let n(u) = -7*u**2 - 5*u - 20. Let v(z) = 5*a(z) + 7*n(z). Let h(r) = -191*r. Determine v(h(b)). 36481*b**2 Let p(u) = 118*u**2 - 62*u**2 - 60*u**2. Let s(m) = 12*m**2. Calculate p(s(t)). -576*t**4 Let i(g) = -342628*g - 2. Let x(y) = y**2. Calculate i(x(h)). -342628*h**2 - 2 Let t(w) be the first derivative of -619*w**2/2 + 801. Let l(b) = -b. Determine t(l(s)). 619*s Let x(f) = 3*f. Let a = -3 + 10. Let z(q) be the third derivative of -5*q**4/24 - 5*q**2. Let k(y) = a*x(y) + 4*z(y). Let n(u) = -u**2. Give n(k(j)). -j**2 Let r(i) = i**2. Let s(q) = q**2. Let h = 88 + -90. Let u(w) = 31*w. Let b(n) = h*s(n) + u(n). Calculate b(r(t)). -2*t**4 + 31*t**2 Let d(m) = -18*m**2 - 16*m**2 + 36*m**2. Let j(y) be the second derivative of 5*y**3/6 + 9*y. Calculate j(d(i)). 10*i**2 Let o(k) = 103*k - 1. Let z(u) = -71*u. Give o(z(t)). -7313*t - 1 Let h(s) be the second derivative of -s**6/360 + s**3/2 + 2*s. Let k(n) be the second derivative of h(n). Let i(j) = 3*j**2. Give i(k(c)). 3*c**4 Let y(t) = t**2 + 74 - 74 - 3*t**2. Let u(a) = 3*a - 2*a + 26 + 7 + 12. Calculate u(y(n)). -2*n**2 + 45 Let j(f) = -8*f**2. Let b(p) be the second derivative of -p**6/180 + 31*p**4/12 - 20*p. Let c(s) be the third derivative of b(s). What is j(c(a))? -128*a**2 Let l(w) = 18628*w + 1. Let g(q) = 17*q. Calculate g(l(n)). 316676*n + 17 Let i(w) be the first derivative of 0*w**2 - 4/3*w**3 - 14 + 0*w. Let s(m) be the first derivative of m**2/2 + 5. What is i(s(o))? -4*o**2 Let c(q) = -6*q. Let s(m) = 534191*m. Determine s(c(n)). -3205146*n Let m(a) = -23*a - 2. Let z(g) = 997*g. Give z(m(s)). -22931*s - 1994 Let j(m) = m - 2*m - 2*m. Let a(y) = -5*y - 4. Let f(l) = l + 1. Let p(n) = a(n) + 4*f(n). Determine p(j(x)). 3*x Let c(d) = 4445*d**2. Let l(v) = 2*v**2. Give c(l(
{ "pile_set_name": "DM Mathematics" }
(-4). Factor l + 3*l + 2*l**2 + 0*l + v*l + 2. 2*(l + 1)**2 Let x = -60 - -60. Let o(s) be the second derivative of -s + s**5 + 0*s**2 + x + 13/36*s**4 + 1/18*s**3 + 56/45*s**6 + 32/63*s**7. Solve o(u) = 0 for u. -1, -1/4, 0 Let g(l) = 7*l**2 - 2*l - 2. Let j be g(-1). Find x, given that -12*x + 3 - 12 - 18*x**2 - 16*x**3 + j - 6*x**2 = 0. -1/2 Let d(x) = -x**2 - 3*x + 4. Let z be d(-4). Suppose -3*w = -2*g - 17, 0 = -4*w - z*w + 5*g + 32. Factor -4/5*h**4 - 2/5*h + 0*h**w + 2/5*h**5 + 0 + 4/5*h**2. 2*h*(h - 1)**3*(h + 1)/5 Let h(j) = -j**2 + 3*j - 2. Let y be h(3). Let m = 2 - y. Factor o - 4*o**2 + 7*o**2 - m*o**2. -o*(o - 1) Let r = 840 + -2518/3. Find b, given that 0 - 4/3*b**3 + 0*b - r*b**2 - 2/3*b**4 = 0. -1, 0 Let y(q) be the second derivative of -q**4/6 + 10*q**3/3 - 25*q**2 - 18*q. Factor y(t). -2*(t - 5)**2 Let c(j) be the first derivative of 2*j**5/5 + j**4/2 - 4*j**3 - 4*j**2 + 16*j + 1. Factor c(w). 2*(w - 2)*(w - 1)*(w + 2)**2 Suppose -2*u - 8 = 0, 3*g = 3*u + 2*u + 29. Solve -6*t**g + 11*t**2 - 2*t - t**2 - 3*t + t = 0 for t. 0, 2/3, 1 Let l(g) = -g**2 + 4*g + 3. Let u = 8 - 6. Let p(a) = -2*a**2 - 8 + 1 - 9*a + 5*a**u. Let t(d) = 5*l(d) + 2*p(d). Determine o, given that t(o) = 0. -1 Let o = 2690/21 - 128. Let t(r) be the first derivative of 0*r**2 - o*r**3 + 0*r + 1. Factor t(j). -2*j**2/7 Let n be 180/(-48) + 2/(-8). Let y be n + 4 + (-1)/(-4). Find k, given that 3/4*k**2 + y - 3/4*k - 1/4*k**3 = 0. 1 Suppose -28*j**2 + 3 - 111*j + 35*j + 0 + 21 = 0. Calculate j. -3, 2/7 Suppose -5*r + 31 = 21. Factor -14/5*m**2 + r*m + 4/5. -2*(m - 1)*(7*m + 2)/5 Let m(y) = -y**4 + y**2 + 2*y + 2. Let t(j) = j**4 - j**3 - j**2 - 1. Let o(z) = -2*m(z) - 4*t(z). Determine f, given that o(f) = 0. -1, 0, 1, 2 Let g(p) be the second derivative of -7*p**4/6 - 23*p**3/3 - 6*p**2 - 7*p. Suppose g(t) = 0. What is t? -3, -2/7 Let x(v) be the first derivative of 4/5*v**3 + 0*v + 6/5*v**2 + 3/20*v**4 + 5. Factor x(r). 3*r*(r + 2)**2/5 Let g(m) be the second derivative of m**7/4410 + m**6/2520 + m**4/3 + 6*m. Let f(c) be the third derivative of g(c). Determine w so that f(w) = 0. -1/2, 0 Let a(z) be the first derivative of -9*z**5/5 - 39*z**4/4 - 11*z**3 + 15*z**2/2 + 18*z - 19. Determine y so that a(y) = 0. -3, -1, 2/3 Let t(c) be the third derivative of -c**8/840 + c**7/525 + c**6/150 - 10*c**2. Factor t(v). -2*v**3*(v - 2)*(v + 1)/5 Let l(r) = r**3 - 5*r**2 + 2*r - 5. Let s be l(5). Solve v**2 + 3*v + 2*v**3 + 2*v**3 - v**3 + s*v**2 = 0. -1, 0 Let y(c) be the second derivative of 0*c**4 + 1/10*c**6 + 0*c**5 + 0*c**2 + 2*c + 0*c**3 + 0. Find z such that y(z) = 0. 0 Suppose -3838*r**2 + 592*r - 13552*r**4 - 3137*r**3 - 154*r**2 + 14797*r**3 - 34 + 2 + 5324*r**5 = 0. Calculate r. 2/11, 1 Let x be (-2)/12 - 26/(-12). Find n, given that 4*n**x + 1/3*n**4 + 2*n**3 + 0 + 8/3*n = 0. -2, 0 Let b be 5/(-1)*(-8)/10. Factor 28*i**b - 5*i**2 + 2*i - 8*i**2 + 0*i**4 + 13*i**3. i*(i + 1)*(4*i - 1)*(7*i - 2) Let r be (-4)/8*-10*(-2)/(-2). Factor 0 + 8*v**2 + 28*v**4 + 218/9*v**3 + 98/9*v**r + 8/9*v. 2*v*(v + 1)**2*(7*v + 2)**2/9 Let w(j) = -2*j**4 + 9*j**3 + 11*j**2 + 5*j - 5. Let c(m) = m**4 - 4*m**3 - 5*m**2 - 2*m + 2. Let g(i) = 5*c(i) + 2*w(i). Solve g(h) = 0 for h. -1, 0, 3 Suppose 4*q**5 - 4*q**3 + 0*q**5 + 4*q**4 - q**2 - 3*q**2 = 0. Calculate q. -1, 0, 1 Let a(b) be the first derivative of -1 - 2*b**2 + 1/3*b**3 + 4*b. Let a(r) = 0. What is r? 2 Let u(n) be the first derivative of -2*n**5/45 + n**4/9 - 2*n**2/9 + 2*n/9 + 28. Let u(s) = 0. Calculate s. -1, 1 What is d in 16/9*d**3 + 2/9*d**4 + 0*d + 0 + 32/9*d**2 = 0? -4, 0 Let s = 6/65 + 4/13. Suppose 2*w = 4*b + 8, 2*b - 3*w + 12 = -0*b. Let s*p**3 - 1/5*p**2 + b*p + 0 - 1/5*p**4 = 0. Calculate p. 0, 1 Let g(r) be the second derivative of r**6/225 + r**5/75 - r**4/30 - 4*r**3/45 + 4*r**2/15 - 24*r. Suppose g(d) = 0. Calculate d. -2, 1 Let i(a) = a + 1. Let h = 7 + -8. Let f(q) = -2*q**2 + 6*q. Let z(o) = h*f(o) + 2*i(o). Find x such that z(x) = 0. 1 Let q be (-2 + 2)/(8 + -7). Let a(j) be the second derivative of -1/18*j**4 + 0 - 1/9*j**3 - 2*j + q*j**2. Determine d, given that a(d) = 0. -1, 0 Let h(z) = 15*z**4 - 23*z**3 - 26*z**2 + 10*z + 2. Let a(k) = -30*k**4 + 47*k**3 + 53*k**2 - 19*k - 5. Let l(t) = 2*a(t) + 5*h(t). Factor l(q). 3*q*(q - 2)*(q + 1)*(5*q - 2) Let n(l) = -l**3 - 6*l**2 + 5*l - 9. Let g be n(-7). Factor 2*u - u**2 + 5 - g + 0. -u*(u - 2) Let t = -25 + 30. Let u(y) be the second derivative of 3*y + 2/3*y**3 + 1/40*y**t - y**2 + 0 - 5/24*y**4. Factor u(p). (p - 2)**2*(p - 1)/2 Let j(u) be the third derivative of -u**7/280 + u**6/240 + u**5/240 - 6*u**2. Determine g so that j(g) = 0. -1/3, 0, 1 Let x(u) be the first derivative of u**8/1512 - u**7/945 + 3*u**2/2 + 2. Let z(n) be the second derivative of x(n). Suppose z(y) = 0. Calculate y. 0, 1 Let l(t) = 18*t**3 - 57*t**2 + 53*t - 14. Let m(s) = -36*s**3 + 114*s**2 - 105*s + 27. Let b(x) = 9*l(x) + 4*m(x). Factor b(w). 3*(w - 1)*(2*w - 3)*(3*w - 2) Let r(s) be the first derivative of -8 + 5 - s**3 - 3 + 3*s. Factor r(c). -3*(c - 1)*(c + 1) Let y be 1/30*11/33. Let w(z) be the third derivative of -z**2 - 2/9*z**3 + y*z**5 - 1/36*z**4 + 0*z + 0. Factor w(c). 2*(c - 2)*(c + 1)/3 Let x(c) be the first derivative of -2*c**3/3 - 3*c**2 - 4*c + 13. Factor x(h). -2*(h + 1)*(h + 2) Suppose m + 21 = 5*v - 13, 0 = 4*m - 4. Solve 2*a**2 - 3*a**3 + v*a**3 + a**4 + a**4 = 0 for a. -1, 0 Suppose -3*t + 2*w + 17 = 0, 2*t + t - 5*w - 29 = 0. Factor -v + v - v**t - v**2. -v**2*(v + 1) Let f(y) be the second derivative of -3*y**5/20 - 5*y**4/4 - y**3 + 12*y**2 + 9*y. Factor f(j). -3*(j - 1)*(j + 2)*(j + 4) Factor 42 + 6*s**4 - 42 + 44*s**3 + 14*s**2. 2*s**2*(s + 7)*(3*s + 1) Let m(t) be the second derivative of -t**6/90 - t**5/30 - t**4/36 - 2*t. Factor m(z). -z**2*(z + 1)**2/3 Let f = 0 - -14. Suppose -2*q + f = 2*a - 6*q, -2*q - 4 = 0. Solve 2*b**4 - 5*b**4 - 7*b**5 + 4*b**5 + 3*b**2 + a*b**3 = 0 for b. -1, 0, 1 Let d(k) be the third derivative of -k**6/30 - k**5/10 - k**4/12 + 11*k**2. Solve d(i) = 0. -1, -1/2, 0 Let x be ((-30)/(-100))/(18/15). Factor 3/2*v + 9/4 + x*v**2. (v + 3)**2/4 Solve -681*i**2 - 17*i - 37*i + 684*i**2 + 243 = 0. 9 Let l(c) = -45*c**3 - 17*c**2 + 11*c - 3. Let i(s) = -46*s**3 - 18*s**2 + 10*s - 2. Let k(n) = -3*i(n) + 2*l(n). Solve k(r) = 0. -2/3, 0, 1/4 Let b(x) be the first derivative of -6*x**3 - 8*x**2/5 + 8*x/5 - 11. Factor b(p). -2*(5*p + 2)*(9*p - 2)/5 Let x(r) be the third derivative of -r**8/168 - r**7/105 + r**6/12 + r**5/30 - 2*r**4/3 + 4*r**3/3 - 12*r**2. Determine m so that x(m) = 0. -2, 1 Find b, given that -3/2*b**3 - 1 + 2*b**2 + 3/2*b - b**4 = 0. -2, -1, 1/2, 1 Let c(z) be the third derivative of z**5/210 - z**4/84 - 2*z**3/21 + 6*z**2. Determine t, given that c(t) = 0. -1, 2 Let q be (-276)/230*(-10)/18. Solve -q*n - 10/3*n**2 - 2*n**3 + 2/3 = 0 for n. -1, 1/3 Let p be -3*(22/(-6) - -2). Let z(w) be the first derivative of -w**2 - 2*w + 1 + 5/2*w**4 + 4/5*w**p + 2*w**3. What is t in z(t) = 0? -1, 1/2 Let i = -1/4 - -1/2. Let l(z) be the second derivative of -1/8*z**3 - z + 1/48*z**4 + i*z**2 + 0. Factor l(b). (b - 2)*(b - 1)/4 Let f(a) be the first derivative of -2/3*a**3 - 3 + 1/2*a**2 + 1/4*a**4 + 0*a. Let f(l) = 0. What is l? 0, 1 Suppose 0 = -4*v, 5*v + 60 = 2*m + m. Find i, given that -28*i - 8 - 10*i**2 + 12*i - m*i**3 + 18*i**3 = 0. -2, -1 Let j(h) be the second derivative of h**7/168 - h**5/20 + h**4/24 + h**3/8 - h**2/4 - 5*h. Factor j(i). (i - 1)**3*(i + 1)*(i + 2)/4 Let a(m) be the third derivative of -1/600*m**6 - 1/15*m**3 + 1/120*m**4 + 1/100*m**5 + 0*m + 0 + 4*m**2 - 1/1050*m**7. Determine b so that a(b) = 0. -2, -1, 1 Let b(t) be the third derivative of -t**8/168 - 4*t**7/105 + t**6/30 + 2*t**5/5 - 3*t**4/4 + 7*t**2. Let b(h) = 0. Calculate h. -3, 0, 1 Let s(v) be the second derivative of v**7/84 - v**6/60 - v**5/10 + v**4/6 + 16*v. Factor s(y). y**2*(y - 2)*(y - 1)*(y + 2)/2 Factor 7/2*h - 1/2*h**2 + 4. -(h - 8)*(h + 1)/2 Factor -5*c**3 + 4*c**3 + 3*c**4 + 2*c**2 - c**4 - 3*c**3. 2*c**2*(c - 1)**2 Determine j, given that -26*j**4 - 18*j**2 + 69*j**3 + 2*j**4 - 62*j - 22*j + 24 + 3*j**4 = 0. -1, 2/7, 2 Suppose -2*a = 4*y + 8, -y + 3 = -3*a + 12. Factor 5/4*x**a + 1/2*x + 0. x*(5*x + 2)/4 Suppos
{ "pile_set_name": "DM Mathematics" }
is t rounded to the nearest 100000? -500000 Let a = -6262.2 + -104.8. Let v = 6367.00002643 + a. Round v to six decimal places. 0.000026 Let p = 13492 + -13493.8498. What is p rounded to one dp? -1.8 Let v = -772 - -454. Let r = v - -317.999068. What is r rounded to 4 dps? -0.0009 Let k = -1.88 - -1.668. Let h = k + 0.2119675. What is h rounded to 6 dps? -0.000033 Let k = -99.6 + 188.3. Let s = 85 - k. Let a = 3.663 + s. Round a to 2 dps. -0.04 Let k = 3895.999791 - 3896. Round k to 3 decimal places. 0 Let s = -36393 - -36432.233. Round s to 0 decimal places. 39 Let o = 185.4 - -5.4. Let z = o + -190.8002766. What is z rounded to 5 decimal places? -0.00028 Let r = 10.178 + 0.022. Let y = 133 + -121.6. Let q = y - r. Round q to zero dps. 1 Let i = -0.472 + 0.189. Let h = 0.282998888 + i. What is h rounded to 7 dps? -0.0000011 Let c = 31 + -66. Let z = 0.4303 + 34.6617. Let d = c + z. Round d to two dps. 0.09 Let v = 123.92 + -126. Let b = 3.00887 - 0.93. Let d = b + v. What is d rounded to four decimal places? -0.0011 Let k = -10240545 - -10240199.00036. Let h = k - -346. What is h rounded to three decimal places? 0 Let l = -40310713.1900449 - -40310717. Let v = 3.81 - l. Round v to 5 dps. 0.00004 Suppose 0 = b + 4*x - 13385, 403*b + 5*x = 407*b - 53645. Round b to the nearest 1000. 13000 Let y = -0.151896 + 86.172896. What is y rounded to the nearest integer? 86 Let d = 7.03104839 - -105.96895253. Let j = -113 + d. What is j rounded to six decimal places? 0.000001 Suppose -3*j + 62 = -25. Let k(y) = -j + 13 + 15 - y - 129998*y**2. Let i be k(1). Round i to the nearest 10000. -130000 Let t(q) = 11 - 18 - 2*q - 36626*q**3 - 3*q**2 + 7. Let u be t(-2). What is u rounded to the nearest one hundred thousand? 300000 Let m = -278 - 314. Let f = m - -592.0000562. What is f rounded to 6 dps? 0.000056 Let d = -58 + 73. Suppose -3150 = d*p - 11775. What is p rounded to the nearest 10? 580 Let l = -2160407 - -2160509.38834. Let s = 102.4 - l. Round s to three dps. 0.012 Let h = 7464 + -7464.5386. What is h rounded to two dps? -0.54 Suppose 3*l = 4*l - 7. Let x be 9/l + (-11)/(154/4). Let j be -2000*x*-18*-3. Round j to the nearest 10000. -110000 Suppose 5*t + 489975 = -2*n, -n - 3*t = 3*n + 979985. What is n rounded to the nearest 100000? -200000 Let q = 27.1 + 99.7. Round q to the nearest ten. 130 Let x = -47.76 - -0.76. Let c = x - -17. Let p = -30.00176 - c. Round p to four decimal places. -0.0018 Let t = -10162602 + 10148410.973. Let o = t - -14198. Round o to zero decimal places. 7 Let y = 226 + -215. Suppose n - 5*z - 10820 = 0, -3*z - y = 1. What is n rounded to the nearest one thousand? 11000 Suppose 0 = -354*j + 361*j - 954765. Suppose 3*k = -2*w + 7*w - 170485, -j = -4*w + k. Round w to the nearest 10000. 30000 Let d(f) = -42717*f + 18 - 1191846*f + 47281*f - 831195*f + 268480*f. Suppose 9 = -2*z + v, 2*z + 4 + 2 = 2*v. Let n be d(z). Round n to the nearest 1000000. 11000000 Let c(n) = 7315*n + 85. Let b be c(-11). Round b to the nearest 10000. -80000 Let g = -529143582 - -2032415834. Let m = g + -1503272235.700001104. Let h = m - 16.3. What is h rounded to seven decimal places? -0.0000011 Let p = 0.4214 - 0.0624. Let w = p + -0.35900895. What is w rounded to 6 dps? -0.000009 Let q = -0.8432 + 0.5972. Round q to 1 dp. -0.2 Let z = 0.475 - -10.205. Let h = z + -10.68000911. What is h rounded to 6 decimal places? -0.000009 Let o = 1233 - -1121. Let x = -1179 - o. Round x to the nearest 100. -3500 Let f = -947.289 - -2.839. Round f to the nearest ten. -940 Let r be ((-1)/(-6))/(28/840). Suppose 4*x - x - 149635 = r*m, -m - 29950 = 4*x. Let o = 21350 + m. What is o rounded to the nearest one thousand? -9000 Let v(k) = -k**3 - k**2 + k + 64. Let j be v(0). Suppose 0 = -j*o + 59*o. Suppose -2*m = -2*i - 1972, -4*m + 2*i + 3521 + 431 = o. Round m to the nearest 100. 1000 Let t = 15654.3 + -15037. What is t rounded to the nearest 10? 620 Let v be -15 + (-11 + 238566)*3. Round v to the nearest 100000. 700000 Let f = 1755 + -1754.9994416. Round f to 5 dps. 0.00056 Let d(s) be the third derivative of 6333*s**6/40 - s**5/15 - s**4/24 + s**3/3 - 32*s**2 - s. Let l be d(-1). Round l to the nearest 1000. -19000 Suppose 45*l = 73*l - 68*l + 42748000. What is l rounded to the nearest one hundred thousand? 1100000 Let v(x) = 282*x**2 - 272*x - 19. Let c be v(-13). Suppose -b = r + r + 70147, -3*r - 5*b = 105210. Let u = c + r. Round u to the nearest 1000. 16000 Let g = -0.04104 + 16.32104. What is g rounded to the nearest integer? 16 Let g = -22.977 + 1241.277. Round g to the nearest one thousand. 1000 Let r = 132 + -132.219. Let a = -232.95 - -232.039. Let m = a + r. Round m to zero dps. -1 Let u = -342.9 + -1236.1. Let w = u - -926. Let r = 652.99998957 + w. What is r rounded to 6 decimal places? -0.00001 Let f = 0.85 - -47.15. Let z = f + -49.6. Let j = z - 17.5. What is j rounded to the nearest integer? -19 Suppose 8*x = 23 + 17. Let q be (-24496)/(-9 - -1) + x. What is q rounded to the nearest 100? 3100 Let r = 2028 - 1420. Let l = 607.99659 - r. Round l to 4 decimal places. -0.0034 Suppose -7*k + 3*x = -4*k - 1143, k - 376 = -4*x. Suppose 11*m - k - 654 = 0. What is m rounded to the nearest ten? 90 Let s = -605.885668328 + -0.114604672. Let c = -13.73 - 592.27. Let r = s - c. Round r to 4 dps. -0.0003 Let f = 11806 - 11805.999987886. Round f to seven dps. 0.0000121 Let p be 4/5 + ((-105078483)/15)/(-1). Suppose 0 = j + p - 68305233. Round j to the nearest one million. 61000000 Suppose -3*o + 1 = 13. Let y = 13 + o. Suppose 2*f = -y + 7. What is f rounded to the nearest integer? -1 Let s = -25040713 - -25040684.000037. Let g = 1.31 - 30.31. Let p = g - s. Round p to five decimal places. -0.00004 Let f = 1253.4 + -1372. What is f rounded to the nearest one hundred? -100 Let m = 1697.9 - 1697.9000058484. What is m rounded to 7 decimal places? -0.0000058 Let l = -69.5 - -142. Let n = -63 + l. Let g = 9.499914 - n. Round g to 5 decimal places. -0.00009 Suppose -14*l = -3878 - 1568. Let o = 215 + l. Round o to the nearest 100. 600 Let z(t) = 3956*t**3 + 3*t**2 + 18*t - 29. Let p be z(9). What is p rounded to the nearest one hundred thousand? 2900000 Let g = -0.59643 + 0.00533. Let j = 0.558 + g. Round j to three decimal places. -0.033 Let f be 16 - 0*((-20)/(-12) - 2). Let l be (-782399994)/24 + (-4)/f. Round l to the nearest 1000000. -33000000 Let h = 19252 - 19489.73. Round h to the nearest integer. -238 Let z = -29 + 21. Let s be (-456)/z + 0/(-2). Let j be s*(-20)/6 - 0. What is j rounded to the nearest 100? -200 Suppose 15*n = 9*n - 228. Let x = n + -175. Round x to the nearest ten. -210 Let m = 604055 + -604055.1856719. Let a = m + 0.1858. Round a to five dps. 0.00013 Let m = -5113016 - -8207516. Suppose 16*g + m = g. What is g rounded to the nearest 10000? -210000 Let w = -0.636792754 - -0.6368. What is w rounded to six dps? 0.000007 Let p = -0.3542 + 0.3531124. Round p to 4 dps. -0.0011 Let y = -350874129 + 350874052.2001876. Let n = y - -76.8. Round n to five dps. 0.00019 Let d(v) = 476*v**2 - 2*v + 1. Let p be d(2). Let z = p - 728. Round z to the nearest 10. 1170 Let n = 344.45 - 396.403. Round n to the nearest ten. -50 Let s = -33.01 - -30.3. Let a = s + 2.71289. Round a to four dps. 0.0029 Suppose -4*c - 3*d + 24 = -8, 3*d + 13 = 5*c. Let v(y) = -c*y - 11 - y + 25 - 4*y. Let i be v(-10). Round i to the nearest ten. 110 Let y = 3804.9 + -3801.6066. Round y to one dp. 3.3 Let y = 2295.9873 + -0.4873. What is y rounded to the nearest 10? 2300 Let n(k) = 1194*k**2 - 659*k - 5. Let t be n(-69). Round t to the nearest one million. 6000000 Let b = 47.6 - -293.4. Let t = b + -313.3. Round t to the nearest ten. 30 Let l = 13345.47629 - 1.37629. Round l to the nearest 100. 13300 Let k = -219.4641674 - -219.47. What is k rounded to 3 dps? 0.006 Let k = 178.69 + -178.6906528. Round k to four dps. -0.0007 Let g = -435 - -496.6. Let x = -8.6 + g. Let i = x + -52.99998. Round i to 4 dps. 0 Let j = 9971 + -9970.99999934303. What is j rounded to seven decimal places? 0.0000007 Let b = -6917257 + 6917468.00334. Let r = b + -211. Round r to four dps. 0.0033 Let f = -20413 - -20413.0031214. Round f to four dps. 0.0031 Let l = -12205 - -12205.6419. Let d = l + -0.5
{ "pile_set_name": "DM Mathematics" }
*f - 7*f + 4. Is 14 a factor of 18*(9/f)/((-24)/88)? False Let m be ((-2)/7)/((-4)/56*2). Suppose 0 = -5*b - 4*a - 1198 + 3370, 2*b - m*a = 858. Is 38 a factor of b? False Let n = -7787 + 20971. Is 46 a factor of n? False Is (-2 + (-5 - -7307))*150/60 a multiple of 50? True Is 3/((-3)/(-895))*256/320 a multiple of 46? False Let x(a) = -14*a - 10. Let c be x(-9). Suppose -45*s - c = -46*s. Is s a multiple of 29? True Suppose 965 - 971 = -3*h, 0 = v - h - 8058. Does 11 divide v? False Does 4 divide (15 - 9) + 20226/3? True Let q be -6*-1*(-3)/(-6). Suppose -2*l + 12 = 2*n, -q*n = -l - 2*l + 30. Let r(w) = w - 5. Does 2 divide r(l)? False Let u be 111 + 7/(42/54). Suppose -q = -0*q - 182. Let g = q - u. Is g a multiple of 13? False Suppose v + 843 = 2305. Does 13 divide v? False Let l be 1 - 8/6 - 8/(-24). Let h = 59 + l. Is h a multiple of 5? False Suppose 3*w - 5*x = 4*w - 195, 4*w - 756 = 4*x. Let b = -172 + w. Is 4 a factor of b? False Let r = 889 - 256. Suppose -2*s + r = 4*o + 7, s - 304 = -5*o. Does 31 divide s? False Let s be (-12)/54 + (-18339)/(-27). Suppose 0 = -5*i - 39 + s. Is i a multiple of 8? True Let o(n) = -15*n + 28576. Let q be o(0). Suppose 6400 - q = -42*p. Is p a multiple of 12? True Suppose -1980 = 66*x - 81*x. Is 6 a factor of x? True Let t = -482 - -130. Let r = 256 - t. Is 8 a factor of r? True Let h be (-1)/(2/(-4))*3/2. Suppose -h*o + 6 = -a, -a + 5*o - 18 = -2*a. Suppose 612 = 3*u - 3*j, -a*j + 937 = 5*u - 123. Is u a multiple of 26? False Suppose -3 + 9 = -2*f. Let y(j) be the third derivative of -17*j**4/24 + 11*j**3/3 - 7*j**2. Does 19 divide y(f)? False Let g be (92 - 8)*(-2)/(-2) - 2. Suppose -1494 = -g*v + 79*v. Does 20 divide v? False Suppose -15*k + 22780 = -10625. Is k a multiple of 25? False Suppose -2*f + 26 = -d - d, 0 = -3*f - d + 59. Suppose -f*j + 1717 = -2495. Does 9 divide j? True Let j(f) = -4*f**2 - 5*f + 8. Let o be j(5). Let z be 136 + (-4 + 0)/(-2). Let y = o + z. Is 8 a factor of y? False Let i(s) = 4*s**2 - 36*s - 103. Let n(c) = 13*c + 223. Let w be n(-18). Is 7 a factor of i(w)? True Suppose n + 14*h - 1343 = 0, -1421 = 4*n + h - 7123. Is 13 a factor of n? False Let n(g) = -3*g**3 + 12*g + 5*g - 14*g**2 - 3*g + 16 + 2*g**3. Does 8 divide n(-18)? False Suppose -128700 = 143*y - 173*y. Is 78 a factor of y? True Suppose -198*s + 176*s + 27478 = 0. Is s even? False Let k = 157 + -119. Suppose -35*y = -k*y + 1638. Does 46 divide y? False Let d = 1670 + -256. Let o = -856 + d. Does 31 divide o? True Let k = 7119 + -3352. Is 33 a factor of k? False Suppose -3*i - 357600 = -83*i. Is i a multiple of 40? False Suppose 0 = -w - 2*q + 12, 0*q + 16 = 5*w - q. Suppose -w*c - 33 - 3 = -5*m, 24 = m - 5*c. Suppose m*a = 335 + 393. Is 26 a factor of a? True Suppose 0 = 6*r - 691 + 229. Let s = r - -34. Let v = -63 + s. Is v a multiple of 8? True Let n = 1390 - 554. Let y = n - 310. Is 11 a factor of y? False Let p(j) = -33 - 34 + 0 + 22*j + 15. Suppose -3*r + 5*d = -11, 4*r + 7*d - 4*d - 34 = 0. Does 17 divide p(r)? True Let p = 563 - 115. Is 38 a factor of p? False Let w(d) = -d + 3. Let q be w(2). Let c be (3 - 0)*1 + (q - -268). Suppose z - 5*z + c = 0. Is 17 a factor of z? True Does 112 divide (112/(-1540)*-3421)/(558/(-280) + 2)? True Let w = -23520 + 33327. Is w a multiple of 7? True Suppose -7*a + 48 = 5*a. Suppose -a*m + 609 = -791. Suppose 0 = j - 6*j + m. Is 4 a factor of j? False Let j = 273 - 225. Suppose -j + 176 = g. Is g a multiple of 8? True Let c(u) = 15*u - 3. Let x be -6 + 4/1 - (-4 - -1). Let a be c(x). Suppose 0 = -a*k + 7*k + 645. Does 43 divide k? True Let h be (-1628)/7 - (-52)/91. Let y = h - -267. Does 14 divide y? False Suppose -2*r + 0*z + 2488 = 2*z, 5*r = -4*z + 6221. Suppose 8*x + 13 = r. Is 22 a factor of x? True Let n(o) = -308*o + 1912. Does 82 divide n(-30)? True Suppose 12*m + 4*m - 7072 = 0. Let s = m - 370. Is s a multiple of 24? True Let h(g) = -g - 51. Let a(b) = 18*b**2 + 3*b + 2. Let p be a(-1). Let q be h(p). Does 10 divide 8/(-2) + (-7 - q)? False Let w = 115 + -195. Let x = -11 - w. Is x a multiple of 21? False Is (69024/56)/((-27)/(-63)) a multiple of 13? False Suppose 5*d - 3*t = 2367, 18*d + 5*t + 2375 = 23*d. Let o = d - -17. Is 8 a factor of o? True Suppose 5*h = -3*m + 11, -5*m - 5*h = -12 - 3. Let x(v) = 14*v - 16*v + 6*v**2 + 9*v + 4*v**m + 1. Is x(-3) a multiple of 8? False Is 18 a factor of 22178/16 - (-10 + 729/72)? True Let j = 13070 + -4005. Is j a multiple of 21? False Let b be 5 - (1 - -2 - 3). Suppose 10 = -2*j, 1840 = b*o - 0*o - 5*j. Suppose 8*l = o + 325. Is l a multiple of 11? False Let w be (-3 - (-20)/16)*(-16)/2. Suppose w = 5*n + 4. Suppose 0*j = 5*l + n*j - 653, j = 5*l - 641. Does 27 divide l? False Let s = 36 + -43. Let q be (-1 + s)*3/(-6). Is 6 + -3 + 76*(-3 + q) a multiple of 9? False Let x(w) = 23*w**3 - 11*w**2 + 61*w - 117. Is 20 a factor of x(8)? False Suppose -1080432 = 36*u - 63*u. Is u a multiple of 82? True Suppose -2*h - 18 = -5*h. Suppose 7*x - h*x = 3. Suppose -x*i = -5*p - 322, 510 = 5*i - 0*p - 3*p. Is i a multiple of 18? False Let j be (-12)/9*90/(-12). Suppose -92 = -j*y + 3548. Is y a multiple of 48? False Let n be (91/2 - 2)*(3 - 15). Is (n/(-5))/(5/((-100)/(-8))) a multiple of 3? True Let d(c) = 13*c - 44. Let w(a) = 3*a - 11. Let m(f) = -2*d(f) + 9*w(f). Let n be m(7). Is (48/18)/(n/6) - -145 a multiple of 9? False Let b(c) = -c**3 - 42*c**2 + 30*c + 483. Is 131 a factor of b(-48)? False Suppose -48 = -24*j - 0. Is j - (-780)/(-42)*(-4 - 3) a multiple of 10? False Suppose -2*s - 39 = -3*v - 492, 2*v + 894 = 4*s. Let m = -126 + s. Suppose 2*t - m = -0*t. Is 5 a factor of t? False Let a be (4 - (-62)/(-10))*(3 + -8). Let n = 11 - a. Suppose k + 442 = 4*d - n*k, 5*d - 2*k = 554. Is 22 a factor of d? True Suppose -5*h - 95 = -5*q - 0*q, 2*h + q + 44 = 0. Let k = 21 + h. Suppose -7*v = -k*v - 280. Is 10 a factor of v? True Let c be -3*2/(-3)*(-2 - -10). Let p(g) = 6 - g - 2*g - 2 + c. Is p(-5) a multiple of 35? True Suppose -4*s + 709 = 2*y - 93, -5*s + 975 = -3*y. Suppose 133*k - s = 132*k. Is 22 a factor of k? True Let l = 772 + -551. Suppose -9*d = 4*d - l. Is d a multiple of 2? False Suppose -3*r + 7 = d, 3*r - 4*r = 5*d + 7. Suppose -o = -3*f + 8, 0*f = -3*o - r*f + 24. Suppose -o*h + 242 = -238. Is 20 a factor of h? True Suppose 0 = 4*o - 5*b - 8272, -10*o - 8300 = -14*o - 2*b. Does 30 divide o? False Let c be 0/(-4) - (-12 - -5). Let w be (-1 - -1)/(c + -5). Suppose h - 7*h + 36 = w. Is 2 a factor of h? True Let r = -3098 + 7917. Is r a multiple of 79? True Let p = 58 - 64. Let y be (4 - 1)/(p - (-1202)/200). Suppose 5*t - y = 2*z, -t + 5*z - 120 = -3*t. Does 10 divide t? True Let a be (0 - (4 + -1)) + 3. Suppose q - 5*x = 35, a*q + 4*x = 4*q - 220. Is 13 a factor of 266/10 - 36/q? True Let o = 275 + -217. Let b = 494 - o. Is 20 a factor of b? False Let x be -24 - ((-6)/10)/((-2)/(-10)). Let p be x/7*(-6)/(-9). Is 12 a factor of (-1086)/(-9) + (-4)/(-3) + p? True Suppose 9*q - 31*q - 18*q + 288320 = 0. Is 212 a factor of q? True Suppose -47*r + 135619 = -37905. Is r a multiple of 26? True Let g(h) = 161*h - 70. Let n(z) = -54*z + 24. Let f(d) = 5*g(d) + 14*n(d). Is 6 a factor of f(2)? True Is 11 a factor of (-3 - 2559)/(29/(-319))? True Let h(v) = 30 + 19 - 45 + 142*v**2. Is 22 a factor of h(-2)? True Let p(g) = -84*g - 55. Let k be p(-5). Does 30 divide -2 + k + 0 - (18 - 15)? True Is 10/8 - 30052508/(-656) a multiple of 372? False Let k(s) = -s**3 + 18*s**2 + 3*s + 14. Let n(f) = -f**2 + 40*f + 47. Let o be n(41). Is 9 a factor of k(o)? False Suppose 48*a = 56*a + 2072. Let l = a - -528. Suppose -r + l = 5*g - g, 3*g - 193 = r. Is 6 a factor of g? True Let b be 221/4 - (-1)/(-4). Let o = -5675 + 5728. Let m = b + o. Is m a multiple of 8? False Let b(u) = u**3 - 25*u**2 + 44*u + 50. Let k be b(23). Suppose 4*l = -k*a + 1024, 0 = 2*l - l - a - 258. Does 14 divide l? False Suppose -553*w - 5202 = -557*w + 2*j, 4*j - 3874 = -3*w. Is w a multiple of 4? False Let r(f) = 11*f - 20. Let z be r(2). Suppose 5*m - z*p - 4489 = 4088, 5*m = -5*p + 8570. Is m a multiple of 49? True Suppose 45*u = 21*u - 1464. Let g = 280 - u. Is 11 a factor of g? True Let v(a) = -87*a + 85. Let s be v(6). Let p = -334 - s. Is p a multiple
{ "pile_set_name": "DM Mathematics" }
7 Let p be 5/(50/252) + 188/235. Calculate the highest common divisor of p and 26. 26 Let c be -6 - (-3 + 3) - 2. Let d be (-175)/c + 3/24. Suppose 5*j - 65 = -10. Calculate the greatest common divisor of j and d. 11 Suppose -3*t + 26 = 8. Suppose -2*b = -n - 260, -2*n = n - 12. Calculate the highest common divisor of b and t. 6 Let i be (356/(-8) + -2)*8/(-6). Suppose -i = -2*b - 2*u - 10, 5*b - 3*u = 114. Calculate the highest common factor of 6 and b. 6 Let d = 1749 - 1605. What is the highest common divisor of 192 and d? 48 Let z = 147 + -135. What is the greatest common divisor of z and 60? 12 Suppose 4*f - 3*f + 4 = 0, 3*k - 5*f - 191 = 0. Let h = 90 + -52. What is the highest common factor of h and k? 19 Let j be ((-16)/(-10) - 1)*2000/60. Let a = 550 + -310. Calculate the greatest common divisor of a and j. 20 Let h(y) = -y**3 - 7*y**2 - 2*y + 16. Let x = -71 + 64. Let t be h(x). Calculate the greatest common divisor of 270 and t. 30 Let y be 1/7 + (-4 - (-624)/42). Suppose -7*p - 2*a - 7 = -2*p, 7 = -4*p - 3*a. Let b = y + p. What is the highest common divisor of b and 10? 10 Let g(x) = -5*x**2 + 10*x - 20. Let w be g(6). Let v = -110 - w. Suppose 2*a + 7 = 31. Calculate the highest common factor of v and a. 6 Suppose y - 80 = -4*y. Let x(f) = f**3 - 15*f**2 + f - 14. Let i be x(15). Let k be 5 - (0/4 + i). Calculate the greatest common divisor of y and k. 4 Suppose -2*o + 158 = -y - 0*o, 3*o + 643 = -4*y. Let w be 24/(-36) - y/6. Suppose 5*r - 34 - w = 0. What is the greatest common factor of 60 and r? 12 Suppose x = -3*i + 34, -9*i - 3*x = -4*i - 50. What is the greatest common divisor of 39 and i? 13 Let p(o) = -8*o**2 - 8*o + 6. Let x(r) = r**2 + r. Let s(f) = -p(f) - 5*x(f). Let j be s(-4). Calculate the greatest common factor of 10 and j. 10 Let r(a) = -4*a + 3. Let s be r(3). Let q(k) = -k**3 - 7*k**2 - 5*k. Let i be q(s). What is the greatest common factor of i and 23? 23 Let g(i) = -63*i**3 - i**2 - 2*i - 1. Let w be g(-1). Suppose w = -2*m + 9*m. What is the greatest common divisor of m and 27? 9 Suppose 9*y + 38 = 12*y + r, 0 = 5*y - 4*r - 86. Calculate the greatest common divisor of y and 4382. 14 Let n = 1322 - 1304. Calculate the greatest common factor of n and 1062. 18 Let g = 721 - 514. Let v be 0 - 2 - (-32 - -7). Calculate the greatest common divisor of g and v. 23 Let u = -9 + 11. Let i = u + 34. Let a(t) = 2*t**2 + 16*t - 6. Let g be a(-12). Calculate the highest common divisor of i and g. 18 Suppose 38 = -4*d + 3*k + 14, -4*k = 3*d + 43. Let z be -3*((-210)/d)/(-5). Let f(a) = 5*a - 6. Let v be f(4). Calculate the greatest common divisor of v and z. 14 Let u = -2 - -16. Suppose 39*t = -112 + 1477. Calculate the greatest common factor of t and u. 7 Suppose -5*f + 287 + 63 = 0. Let v(z) = z**2 - 8*z + 2. Let a(l) = 1. Let r(i) = 5*a(i) - v(i). Let m be r(7). What is the greatest common divisor of m and f? 10 Let q be (-46)/(-391) + (-5574)/(-17). What is the highest common divisor of 8 and q? 8 Let b(h) = -h**3 + 4*h**2 + 4*h - 1. Let y be b(4). Let c be 3*(-5)/y + 4. Let t be (-4 + 0)*18/(-8). What is the highest common factor of t and c? 3 Let m(c) = -c**3 + 20*c**2 - 18*c - 12. Let f be m(19). Calculate the greatest common divisor of 63 and f. 7 Let n(g) be the first derivative of -3*g**2 + 10*g - 10. Let j be n(-5). What is the highest common divisor of j and 5? 5 Let g be 195/169 - 2/13. Let t(s) = 5*s**2 + 3*s - 3. Let d be t(g). Suppose d*j = i + 19 + 74, 3*i + 99 = 5*j. What is the highest common factor of j and 2? 2 Suppose -275 = -4*c + 5*k - 60, -3 = -3*k. What is the greatest common factor of c and 11? 11 Let u = 1 - -107. Calculate the highest common factor of 27 and u. 27 Let n(h) = 182*h + 30. Let t be n(3). What is the greatest common factor of t and 9? 9 Suppose -688*s = -677*s - 165. What is the greatest common divisor of s and 5? 5 Suppose 260 = 2*k + 2*k. Suppose 12*c = -653 + 185. Let l be c/12 - -3 - (-53)/4. What is the highest common divisor of l and k? 13 Let f be (-2)/(-7) - (-48)/28. Suppose 4*k = -2*j + 98, -5*j + 15 = -f*j. What is the greatest common divisor of 154 and k? 22 Let u = 121 - 97. What is the highest common divisor of 864 and u? 24 Let j(i) = 136*i**2 - 5*i + 5. Let m be j(2). Calculate the highest common factor of m and 28. 7 Suppose 17*y = 5*n + 20*y - 2397, 2404 = 5*n - 4*y. What is the highest common factor of n and 32? 32 Let h = -1560 - -1683. What is the highest common divisor of 41 and h? 41 Suppose 2*r - 20 = -2*r. Let u(a) = 6*a. Let z be u(6). Suppose -3*c = -201 + z. Calculate the greatest common divisor of c and r. 5 Let u be (-14 + 8)/(-10 + 0)*30. What is the greatest common factor of u and 63? 9 Suppose -l + 4*l = 5*g + 95, 31 = l - g. Let k be l/(-20) + 13/2. Suppose h - 64 = -z - 5, -3*z = -12. What is the greatest common factor of h and k? 5 Let n be 98 + -9 - 0 - -1. Calculate the greatest common divisor of 72 and n. 18 Suppose -3*f + 179 = -31. Let x be 4*21*((-12)/16 - -2). What is the greatest common factor of x and f? 35 Suppose 5*x - 172 = -4*f, 4 = 2*x - 3*x. Suppose -9*d + 9 = -6*d. Let j be 33 - 1/3*d. What is the highest common divisor of j and f? 16 Let u(n) = -n**2 + n + 1. Let v(a) = a**2 + 9*a - 4. Let h(j) = -2*u(j) + v(j). Let c = 12 - 18. Let o be h(c). What is the highest common factor of 24 and o? 12 Let f be 6/(-2) - 15*(-10)/15. Let w(j) = 6*j + 42. Let y be w(f). Calculate the greatest common factor of 28 and y. 28 Let r(w) = -w**3 - 7*w**2 - 9*w - 7. Let v be r(-6). Let x = v - 9. Let i be (4 + (0 - x))*23. What is the greatest common divisor of 23 and i? 23 Let z = -2 - -3. Suppose 4*x + 20 = 8*x. Suppose 0 = -3*w - x*p - 9 + 32, w - 4*p = -15. What is the highest common factor of z and w? 1 Suppose -3*r + 6*n - 2*n + 80 = 0, 5*n = -4*r + 117. Calculate the highest common divisor of r and 602. 14 Suppose 4*w - 1 = 3. Let q = w + 3. Let r(x) = x**2 + x + 44. Let p be r(0). Calculate the highest common factor of p and q. 4 Suppose 1 = 2*x - 23. Let j be 54/10 - (-6)/(-15). Let p = j + x. Calculate the highest common factor of p and 136. 17 Let k be 5/2*36/(-30). Let d be (-3)/k*-1 + -3. Let y = d + 20. What is the greatest common divisor of y and 64? 16 Let v = -132 - -135. Suppose 4*o - v*l - 358 - 310 = 0, -3*o - 2*l + 484 = 0. Calculate the greatest common factor of o and 41. 41 Suppose -2*n = -w + 2742, -3*n - 33 = -24. Calculate the greatest common factor of 144 and w. 144 Let m(k) = -k**2 + 20*k - 9. Let n be m(2). Suppose 0 = 3*r - 5*r + 8. Suppose 2*y + 18 = r*y. Calculate the highest common divisor of y and n. 9 Suppose 2*v = 2*a - 60, -v + 112 = 5*a - 44. Suppose -34*l - 449 + 1503 = 0. What is the greatest common factor of l and a? 31 Let o = -32 - -26. Let v(h) = -h**3 - 7*h**2 - 6*h + 5. Let p be v(o). Suppose -p*m - 16 = -46. Calculate the highest common factor of m and 6. 6 Let q(z) = z**2 - 12*z + 45. Let i be q(9). Let m(r) = -3*r - 3. Let l be m(-2). Suppose -54 = -0*h - l*h. Calculate the highest common factor of h and i. 18 Let o be 0 - -5 - 1616/(-24)*3. Calculate the highest common divisor of o and 9. 9 Suppose -4*l + 9 = 5*y - 0*y, -4*l = -2*y - 2. Let r be (20/30)/(y/(-3)) + 10. Calculate the highest common factor of r and 56. 8 Let s(p) = p**3 + 10*p**2 - 14*p - 20. Let c be s(-9). Let q = -2 - -19. What is the highest common factor of q and c? 17 Let d(f) = 8*f - 150. Let s be d(35). Calculate the highest common factor of 78 and s. 26 Suppose -20*f = 7*f - 108. Calculate the greatest common factor of f and 32. 4 Suppose -3*t + 14*k - 15*k + 48 = 0, -2*t + 32 = 2*k. What is the greatest common factor of 128 and t? 16 Let z(r) = r**2 - 6*r + 2. Let u be z(5). Let s be -8*(u/6 - 0). Suppose 3*k + 25 = -4*q + 85, k + s*q = 12. Calculate the greatest common factor of k and 16. 8 Suppose 3*y - 2*w = 3*w + 45, 4*w = -5*y + 38. Let t = y - 7. Suppose -o = -4*z - z + 28, 3*o = -t*z + 24. What is the greatest common factor of 30 and z? 6 Suppose c = -c - 8. Let y be -3 + 3 + c + 14. Calculate the highest common factor of y and 10. 10 Let f be ((-1248)/(-117))/(2/3). What is the highest common factor of 236 and f? 4 Let h = 35 - -10. What is the greatest common divisor of 117 and h? 9 Suppose 1 + 2 = a. Let t(j) =
{ "pile_set_name": "DM Mathematics" }
9548 - 129548 - 15*w + 8*w. -7*w Collect the terms in -50*o - 2*o + 42*o. -10*o Collect the terms in -54*w**3 - w + 0*w + 53*w**3 + 9*w - 8*w. -w**3 Collect the terms in 15*n - 119*n + 456*n. 352*n Collect the terms in -348 - 1372*n**3 + 127*n**3 + 348. -1245*n**3 Collect the terms in 2*d**2 - 5*d**2 - 7*d**2 + 1. -10*d**2 + 1 Collect the terms in 133*k - 16*k**3 + 14*k**3 - 104*k - 29*k. -2*k**3 Collect the terms in 60 - 94*r - 12 + 93*r - 22. -r + 26 Collect the terms in 50*x - 560*x + 518*x. 8*x Collect the terms in 7*m**2 + 19 - 22 + 29*m**2 - 14*m**3. -14*m**3 + 36*m**2 - 3 Collect the terms in -8*b + 6 - 17 + 12 + 13. -8*b + 14 Collect the terms in 3400*j**3 + 4*j**2 - 4*j**2 + 3443*j**3. 6843*j**3 Collect the terms in 1469768 - 4*x**2 - 1469768. -4*x**2 Collect the terms in o**2 + 102*o**2 - 39*o**2 - 18*o**2. 46*o**2 Collect the terms in -k + 98*k**2 + k + 16*k**2. 114*k**2 Collect the terms in -r - 422*r - 314*r. -737*r Collect the terms in -3 - 1 + 11*j**2 + 7 + 0*j**2 - 6. 11*j**2 - 3 Collect the terms in -124012 + 124012 + 3*w**3. 3*w**3 Collect the terms in -24 + 5 + 20*x + 5 + 14. 20*x Collect the terms in -20*b**2 + 9*b - 21*b**2 + 2*b**2. -39*b**2 + 9*b Collect the terms in 5 + 3 - 2 + 16*l - 10 - 17*l. -l - 4 Collect the terms in -7155*z + 2389*z + 2386*z + 2386*z. 6*z Collect the terms in -k - 39949*k**3 - 39843*k**3 + k + 79793*k**3. k**3 Collect the terms in -7 + 4 - 761*d**2 + 3 - 2. -761*d**2 - 2 Collect the terms in 35911 - 56*o**3 - 23*o**3 - 35910. -79*o**3 + 1 Collect the terms in -1 + 1503*u**3 + 1 - 1332*u**3. 171*u**3 Collect the terms in 1 - 123*r - 90*r - 1 + 335*r - 125*r. -3*r Collect the terms in -3*c + 18*c + 0*c**2 - c**2 + 90*c. -c**2 + 105*c Collect the terms in -57926*j**3 + 115855*j**3 - 57928*j**3. j**3 Collect the terms in 1303 + 1300 + 1312 + 1310 - 5218 - 4*q. -4*q + 7 Collect the terms in 155*c**2 - 68*c**2 + 27*c**3 - 68*c**2 - 19*c**2. 27*c**3 Collect the terms in 2*l + 2*l + 23 + 24 - 48 + 6*l. 10*l - 1 Collect the terms in -2 - 26 + 59 - 31 - 18*o. -18*o Collect the terms in -104*t**2 - 118*t**2 + 467*t**2 - 128*t**2 - 116*t**2. t**2 Collect the terms in -4618*x**3 + 11*x**2 - 6*x**2 + 0*x**2 - 4*x**2. -4618*x**3 + x**2 Collect the terms in -15 + 8 - 70*y + 77*y + 7. 7*y Collect the terms in -86*h**3 + 271*h**3 - h**2 + 2*h**2 - h**2. 185*h**3 Collect the terms in -6*f**2 - 56*f**2 + 3*f**3 + f**3 + 2*f**3. 6*f**3 - 62*f**2 Collect the terms in -15705166*w + 13 + w**2 + 15705166*w. w**2 + 13 Collect the terms in 5198*k - 5195*k - 22*k**2 - 2*k**2. -24*k**2 + 3*k Collect the terms in 406*k**2 - 1194*k**2 + 568*k**2. -220*k**2 Collect the terms in -3 + 5 + 305*s**2 + 72*s**2 + 3*s**2 + 126*s**2. 506*s**2 + 2 Collect the terms in -6303*c + 3113*c + 3187*c. -3*c Collect the terms in 4*h + 5*h - 10*h - 5*h + 19*h. 13*h Collect the terms in 2*t**2 + 60098 - 60098 + 90*t**2. 92*t**2 Collect the terms in -303*o**3 + 305*o**3 - 352*o**2 + 352*o**2. 2*o**3 Collect the terms in -1324*l**2 - 522*l**2 + 207*l**2. -1639*l**2 Collect the terms in 164 + 553*y**2 - 550*y**2 - 164. 3*y**2 Collect the terms in 4*h - 65*h**2 - 114092*h**3 + 114090*h**3 - 4*h. -2*h**3 - 65*h**2 Collect the terms in -103*m**2 + 1857*m**2 + 218*m**2 - 145*m**2. 1827*m**2 Collect the terms in -705*q**2 + 275*q**2 + 204*q**2 + 247*q**2. 21*q**2 Collect the terms in -121*j**2 - 58*j**2 - 9*j**2. -188*j**2 Collect the terms in -2 - 24*u + 3 + 2 - 4 + 48*u**3. 48*u**3 - 24*u - 1 Collect the terms in 23*s + 21*s + 352*s**2 - 44*s - 361*s**2. -9*s**2 Collect the terms in -59813*s + 59813*s + 161*s**2. 161*s**2 Collect the terms in 23 + 84*c**2 - c + c. 84*c**2 + 23 Collect the terms in 0*r - 86*r + 86*r - 627*r**2. -627*r**2 Collect the terms in -3*g**2 + 7998714 - 7998714. -3*g**2 Collect the terms in 9756968*p + 245*p**3 - 9756968*p. 245*p**3 Collect the terms in 3 + 1518*a**2 + 3 - 6. 1518*a**2 Collect the terms in 39*w**3 - 132*w**3 + 20907*w**2 - 20907*w**2. -93*w**3 Collect the terms in 1024*w**2 - 501*w**2 + 5 + 1420*w**2 - 8. 1943*w**2 - 3 Collect the terms in -19*k**2 + 4*k**2 + 30*k**2. 15*k**2 Collect the terms in 9406*g - 18799*g - 2 + 0 + 2 + 9388*g. -5*g Collect the terms in -32*h**3 - 4 + 69*h**3 + 9 - 39*h**3 - h**3. -3*h**3 + 5 Collect the terms in -63*n**2 + 18*n**2 + 26*n**2 + 22*n**2 - 180. 3*n**2 - 180 Collect the terms in 5*a - 14*a - 15*a**2 - 1 + 9*a. -15*a**2 - 1 Collect the terms in 35*x + 1303*x - 1289*x. 49*x Collect the terms in 404 - 404 - 5095*g**2. -5095*g**2 Collect the terms in -4*w**3 + 6*w + 58*w + 3*w**3 - 13*w - 51*w. -w**3 Collect the terms in 37 - 4 - 27 + 40*x**2 - 4. 40*x**2 + 2 Collect the terms in -6104*n + 1997*n + 2099*n + 2003*n. -5*n Collect the terms in -119*j**2 - 83312*j + 83312*j. -119*j**2 Collect the terms in 13448*d - 1 + 1 + 13845*d. 27293*d Collect the terms in 3*u**3 + 2*u**3 - 2*u**2 + 1402*u + 2*u**2. 5*u**3 + 1402*u Collect the terms in -764 - 55*z**2 - z**3 + 764. -z**3 - 55*z**2 Collect the terms in 17*g - 45*g + 28*g - 178*g**3 + 176*g**3. -2*g**3 Collect the terms in -877 - 726 + 15*d + 1603. 15*d Collect the terms in -96*j**2 - 50*j**2 - 114*j**2 + 443*j**2 - 102*j**2. 81*j**2 Collect the terms in 7042*n**3 + 7025*n**3 - 14123*n**3. -56*n**3 Collect the terms in -23381 + 21*n**3 + 23381. 21*n**3 Collect the terms in -26*q**2 - 325*q - 137*q - 26*q**2. -52*q**2 - 462*q Collect the terms in -9*n**3 - 96*n**2 + 2*n**3 - 163*n**2 + 263*n**2. -7*n**3 + 4*n**2 Collect the terms in -86*s + 29658 - 150*s - 29659. -236*s - 1 Collect the terms in 409*t**3 + 211*t**3 - 726*t**3 + 337*t**3. 231*t**3 Collect the terms in -10776 - 10777 + 7*n**2 + 21553. 7*n**2 Collect the terms in 8*w**2 + 7*w**2 - 13*w**3 - 10*w - 14*w**2. -13*w**3 + w**2 - 10*w Collect the terms in -352*m**3 - 663*m**3 + 989*m**3. -26*m**3 Collect the terms in 1395*f + 2 + 0 + 4*f**2 - f**2 - 1. 3*f**2 + 1395*f + 1 Collect the terms in 8*y**2 - 45759776961*y + 45759776961*y. 8*y**2 Collect the terms in -687 - 684 + 1371 + 5*v - 3*v. 2*v Collect the terms in -127*z + 2 - 1 + 0 + 564*z. 437*z + 1 Collect the terms in 9*d**3 + 5*d**3 + 3*d**3 + 9*d**3 - 571. 26*d**3 - 571 Collect the terms in 371*a + 245*a + 551*a - 140*a. 1027*a Collect the terms in 23*z**2 + 19*z**2 + 29*z**2. 71*z**2 Collect the terms in -219*f + 62*f + 73*f + 75*f. -9*f Collect the terms in t**3 - 3 - 9 - 4 + 16 - 26*t**2. t**3 - 26*t**2 Collect the terms in 96*z**3 + 22*z**3 - 25*z**2 + 293*z**3 + 22*z**2. 411*z**3 - 3*z**2 Collect the terms in -128121*z + 42711*z + 42711*z + 42718*z. 19*z Collect the terms in 23*y**3 + 25*y**3 + 22 - 18. 48*y**3 + 4 Collect the terms in 40*k**2 + 1389 - 6*k**2 - 1389. 34*k**2 Collect the terms in -182*r**2 - 172*r**2 - 179*r**2 + 531*r**2. -2*r**2 Collect the terms in 311*j**3 - 266*j**3 + 558*j**3 - 2 + 285*j**3. 888*j**3 - 2 Collect the terms in -3215*w**2 + 3805*w - 3805*w. -3215*w**2 Collect the terms in 17783*a - 5891*a - 5996*a - 16*a**2 - 5896*a. -16*a**2 Collect the terms in -4*y + 1581909 + 1581862 - 3163771. -4*y Collect the terms in -262*s + 500*s**2 + 527*s - 265*s. 500*s**2 Collect the terms in 322 - 102*t**2 - 322. -102*t**2 Collect the terms in 1022*u**2 - 533*u**2 - 487*u**2. 2*u**2 Collect the terms in -310*v**3 - 315*v**3 + 928*v**3 - 305*v**3. -2*v**3 Collect the terms in -21*x - 118*x - 85*x + 27*x + 2*x**2. 2*x**2 - 197*x Collect the terms in -3*r - 9*r + r - 3*r - 4*r + 14*r. -4*r Collect the terms in -2*a**2 - 6 - 134*a**3 + a**2 + 2. -134*a**3 - a**2 - 4 Collect the terms in 333 - 297 - 36 + 38*p. 38*p Collect the terms in 201*f - 247*f + 50*f + 204*f. 208*f Collect the terms in 15 - 242*w**2 + 8 + 10 + 240*w**2. -2*w**2 + 33 Collect the terms in 16*h**3 + 19*h**3 + 37579*h - 37579*h. 35*h**3 Collect the terms in 5 + 0 + s**2 - 2*s**2 - 494*s. -s**2 - 494*s + 5 Collect the terms in 9*h - 40*h + 13*h + 9*h + 14*h. 5*h Collect the terms in -14*l**3 + 274*l**2 + 1 - 138*l**2 - 136*l**2 - 21*l**3. -35*l**3 + 1 Collect the terms in -1520*s - 1522*s + 3042*s - 115*s**2. -115*s**2 Collect the terms in 272637*p - 272636*p + 161*p**2 + 35*p**2. 196*p**2 + p Collect the terms in -5536466220522*o + 2*o**2 + 5536466220522*o. 2*o**2 Collect the terms in -9801*d + d**2 - 9799*d + 19597*d. d**2 - 3*d Col
{ "pile_set_name": "DM Mathematics" }
30 in increasing order. -330, -5, 1 Put -2, 1, -412 in descending order. 1, -2, -412 Put 4, -24, -1/6, 2, -0.4 in increasing order. -24, -0.4, -1/6, 2, 4 Sort 4/5, -5, 2/7, -1 in ascending order. -5, -1, 2/7, 4/5 Sort 5, -5, 790, -4 in increasing order. -5, -4, 5, 790 Sort -7, -53, 4, 3 in decreasing order. 4, 3, -7, -53 Sort 4, 37, 3, 0.4. 0.4, 3, 4, 37 Put -3, -1, 2, -5 in ascending order. -5, -3, -1, 2 Sort 7, 4, -1. -1, 4, 7 Sort 1, 77, -4 in ascending order. -4, 1, 77 Put -3, 2, 20, -4 in ascending order. -4, -3, 2, 20 Put -1, -5/4, 0.3, 2, -0.5 in ascending order. -5/4, -1, -0.5, 0.3, 2 Put 0.03, 3, 1/5 in increasing order. 0.03, 1/5, 3 Put -6, 4, -48 in ascending order. -48, -6, 4 Sort 0.4, -686, -5. -686, -5, 0.4 Sort -0.039, 13/5, 0.2, -0.2, 4. -0.2, -0.039, 0.2, 13/5, 4 Sort 0.4, -1/8, 33. -1/8, 0.4, 33 Sort -2, 3, 23 in descending order. 23, 3, -2 Sort 1/2, 1, -0.5, 3/2 in decreasing order. 3/2, 1, 1/2, -0.5 Put 2, -1, 5, 520 in ascending order. -1, 2, 5, 520 Sort 8, 0.6, -49 in ascending order. -49, 0.6, 8 Put 125, 2, 1 in decreasing order. 125, 2, 1 Sort 2, -0.2446, -4 in increasing order. -4, -0.2446, 2 Put 4, -3, 29 in descending order. 29, 4, -3 Put 2/3, -1/5, -0.4, 4 in decreasing order. 4, 2/3, -1/5, -0.4 Sort 0.1, 2/7, -1, -1/4, 9. -1, -1/4, 0.1, 2/7, 9 Sort -15/4, 4, 0.4 in decreasing order. 4, 0.4, -15/4 Sort -3, 3, -6, 1 in increasing order. -6, -3, 1, 3 Sort 1/4, 1/12, 3, 2 in descending order. 3, 2, 1/4, 1/12 Sort -2, 2637, 0, 2, 5 in decreasing order. 2637, 5, 2, 0, -2 Sort -0.5, -13, -1, -0.03 in descending order. -0.03, -0.5, -1, -13 Sort -249, -3, -1, 3 in decreasing order. 3, -1, -3, -249 Sort 4, 0.05, 1/189, -4 in decreasing order. 4, 0.05, 1/189, -4 Sort 0.2, -4, -17, -3 in ascending order. -17, -4, -3, 0.2 Put -3, -22, 552 in ascending order. -22, -3, 552 Sort -3, 2/7, 4/3, 113, 2 in decreasing order. 113, 2, 4/3, 2/7, -3 Put -2/5, 0.2, -14, -2, -0.1 in decreasing order. 0.2, -0.1, -2/5, -2, -14 Sort 2/9, 1, -14. -14, 2/9, 1 Put 0, -5, -4, 2 in increasing order. -5, -4, 0, 2 Put -7/5, -0.04, 2, 1 in descending order. 2, 1, -0.04, -7/5 Sort -21/22, 2/17, 0.5, 0.08 in descending order. 0.5, 2/17, 0.08, -21/22 Put -2/3, 0.3, -1.63 in descending order. 0.3, -2/3, -1.63 Put 0.2, -24, -1/3 in ascending order. -24, -1/3, 0.2 Sort -10, -0.1, -4, -1 in ascending order. -10, -4, -1, -0.1 Sort 4, 3, 2, -122, -1 in ascending order. -122, -1, 2, 3, 4 Put 52, 1, 0 in ascending order. 0, 1, 52 Sort -18/5, -2, -4, 4/3. -4, -18/5, -2, 4/3 Sort -4, -2, 36, 2. -4, -2, 2, 36 Sort -1, -5, 3, -0.1. -5, -1, -0.1, 3 Put -2, 7/6, 3 in increasing order. -2, 7/6, 3 Put -1/10, 2/11, 0.5, -4 in increasing order. -4, -1/10, 2/11, 0.5 Sort -2, 1, -5/2, 10 in descending order. 10, 1, -2, -5/2 Put 5, 2, -2, -5 in ascending order. -5, -2, 2, 5 Put 0, -4, -0.3, 10/43 in decreasing order. 10/43, 0, -0.3, -4 Sort -5, -87, 5 in increasing order. -87, -5, 5 Sort -33, 4, 6 in increasing order. -33, 4, 6 Sort -5, -1/3, 0.3, 4/195 in ascending order. -5, -1/3, 4/195, 0.3 Sort 5, -3, 2, 8 in decreasing order. 8, 5, 2, -3 Put -87, 4, 6 in decreasing order. 6, 4, -87 Sort -3, -0.04, 18, -0.1, -2 in descending order. 18, -0.04, -0.1, -2, -3 Sort -29, -2, -4 in decreasing order. -2, -4, -29 Sort 4, -5, 11, -3, 0. -5, -3, 0, 4, 11 Put -28, -5, -3, -4 in descending order. -3, -4, -5, -28 Sort -1, -462, 3, -3, -5 in increasing order. -462, -5, -3, -1, 3 Put 2, 7, 4, 5, -5 in ascending order. -5, 2, 4, 5, 7 Sort -97, -0.2, -1, -3 in decreasing order. -0.2, -1, -3, -97 Put -5, 4, -2, 1370 in increasing order. -5, -2, 4, 1370 Put -2, 15, 5, -5 in increasing order. -5, -2, 5, 15 Sort 0.3, 1/5, -23, 2/9 in increasing order. -23, 1/5, 2/9, 0.3 Put 5, -56, 1 in decreasing order. 5, 1, -56 Sort -6, 0, 5, -67 in increasing order. -67, -6, 0, 5 Sort -0.2, -2/253, 1 in increasing order. -0.2, -2/253, 1 Sort 0, 4, -5, 5, -1 in decreasing order. 5, 4, 0, -1, -5 Put -2/7, -6, -12, -0.09 in decreasing order. -0.09, -2/7, -6, -12 Sort -1, 5, -105, -3 in descending order. 5, -1, -3, -105 Sort -2, 8, 322 in ascending order. -2, 8, 322 Put -29, 1, 0.1, -1/3 in descending order. 1, 0.1, -1/3, -29 Put 4, -68, -2, -2/13 in decreasing order. 4, -2/13, -2, -68 Sort -1, -2, 5, -3, 16 in decreasing order. 16, 5, -1, -2, -3 Put -36, 0.3, 3/2, -4 in decreasing order. 3/2, 0.3, -4, -36 Sort 3490, 5, -2 in descending order. 3490, 5, -2 Put -1815, -4, -3 in ascending order. -1815, -4, -3 Put -4, -5, -85, -1 in descending order. -1, -4, -5, -85 Put -1, -5, 2, 1.93, -1/4 in descending order. 2, 1.93, -1/4, -1, -5 Put -97/4, -3, 5 in decreasing order. 5, -3, -97/4 Put 0.81, 5, 0, -0.4 in descending order. 5, 0.81, 0, -0.4 Put 3/7, -4/3, -4, 0.5 in ascending order. -4, -4/3, 3/7, 0.5 Sort 2, 3, -5, 4, -19 in descending order. 4, 3, 2, -5, -19 Put 5, -21, -1, 0.3 in ascending order. -21, -1, 0.3, 5 Put 1/5, -3, -1/9, 33 in ascending order. -3, -1/9, 1/5, 33 Sort 0.1, -2/5, -4/3, -1, 1.9 in decreasing order. 1.9, 0.1, -2/5, -1, -4/3 Put 4, 0, 18 in decreasing order. 18, 4, 0 Sort 1, -4, -28, 3. -28, -4, 1, 3 Sort 5, -3, 0, 2 in increasing order. -3, 0, 2, 5 Sort -4, -5, 1, -2. -5, -4, -2, 1 Sort 14, -3, 3, 0, 10 in ascending order. -3, 0, 3, 10, 14 Sort 1, -13, -5 in increasing order. -13, -5, 1 Sort 2/11, -0.018, -29 in increasing order. -29, -0.018, 2/11 Sort 5, 843, -3. -3, 5, 843 Sort 1, -2, 1/2, 0.06, 4/7 in decreasing order. 1, 4/7, 1/2, 0.06, -2 Put -103, -1, -5 in ascending order. -103, -5, -1 Sort 1, -0.3, 4/9 in decreasing order. 1, 4/9, -0.3 Sort 3, -52, 0.02 in descending order. 3, 0.02, -52 Sort 1.2, 2/3, -2.1, 0, -3 in decreasing order. 1.2, 2/3, 0, -2.1, -3 Sort -1, 2, 108, 1. -1, 1, 2, 108 Sort 0.5, -2/7, -84. -84, -2/7, 0.5 Sort -449, 3, 1, -4. -449, -4, 1, 3 Put -3, -5, 4, -51, 0 in descending order. 4, 0, -3, -5, -51 Sort 0.046, -7, 0, -1 in descending order. 0.046, 0, -1, -7 Put -29, 3, -5, 2 in descending order. 3, 2, -5, -29 Sort 7.8, 5, -0.2. -0.2, 5, 7.8 Put 363, 3, 5 in increasing order. 3, 5, 363 Put -0.4, -5, -2, 1, -519 in decreasing order. 1, -0.4, -2, -5, -519 Sort 3, 4/7, 148 in descending order. 148, 3, 4/7 Sort -3, 1, 15, -1, 4. -3, -1, 1, 4, 15 Sort 0.1, -6, 0, 5, 7/5. -6, 0, 0.1, 7/5, 5 Put -5, 4, -9, -2 in decreasing order. 4, -2, -5, -9 Put 1, -275, 0 in descending order. 1, 0, -275 Sort -16, 2, -2, -3 in decreasing order. 2, -2, -3, -16 Sort 2/17, -0.2, -4/57 in ascending order. -0.2, -4/57, 2/17 Sort -5, 0.11, 5, -1/4 in increasing order. -5, -1/4, 0.11, 5 Sort -828, 3, -1, 1 in decreasing order. 3, 1, -1, -828 Put -4, 48, -6/5, 4/11 in decreasing order. 48, 4/11, -6/5, -4 Put -1, 5, -7, -11 in increasing order. -11, -7, -1, 5 Sort -1, -4, 0.07, -0.6, -3 in descending order. 0.07, -0.6, -1, -3, -4 Sort -0.5, -2/3, -3/2, 0.5, -24. -24, -3/2, -2/3, -0.5, 0.5 Sort -2/9, -214, -2 in increasing order. -214, -2, -2/9 Sort -94, 8, 2 in ascending order. -94, 2, 8 Put -8, 5, -13 in ascending order. -13, -8, 5 Sort 70, 5, 1, -4, 3 in descending order. 70, 5, 3, 1, -4 Sort 3, -24, -3 in descending order. 3, -3, -24 Put 4, 1, -11 in decreasing order. 4, 1, -11 Put -57, 5, -4 in increasing order. -57, -4, 5 Sort 0.3, -134, -1, 0.2, -2 in ascending order. -134, -2, -1, 0.2, 0.3 Put -81, 2, -3, 4 in descending order. 4, 2, -3, -81 Put -3, -1, 11, 4 in decreasing order. 11, 4, -1, -3 Sort -3, 0.3, 3, 8/9 in decreasing order. 3, 8/9, 0.3, -3 Sort -0.4, 25, -0.3. -0.4, -0.3, 25 Sort 1, -10, 4, -5 in increasing order. -10, -5, 1, 4 Put 69, -3, -2 in increasing order. -3, -2, 69 Sort -3/10, 2, 5, -4. -4, -3/10, 2, 5 Sort -4, -2, -1, 6 in increasing order. -4, -2, -1, 6 Put -2/43, 10, 2 in descending order. 10, 2, -2/43 Sort -754, 2, 5 in increasing order. -754, 2, 5 Sort 0.1, 0.2, -2, -4, -43 in increasing order. -43, -4, -2, 0.1, 0.2 Sort 2, -0.4, 49.6. -0.4, 2, 49.6 Sort 3, -14, 1, -2. -14, -2, 1, 3 Put -2, 5, 2 in decreasing order. 5, 2, -2 Put 2/5, 0, -139 in increasing order. -139, 0, 2/5 Sort 5, -1, 3, 1 in descending order. 5, 3, 1, -1 Put 4, -2, -40, -0.3 in decreasing order. 4, -0.3, -2, -40 Sort 5, 11, 2, -5 in ascending order. -5, 2, 5, 11 Sort -1, 12, 8, -4 in ascending order. -4, -1, 8, 12 Put 16, 17/6, -1/5 in decreasing order. 16, 17/6, -1/5 Put 2/5, -1, -3,
{ "pile_set_name": "DM Mathematics" }
fy (t**(1/3))**(-2/79)*(t*t/t**(-2/51))**(-24) assuming t is positive. t**(-197218/4029) Simplify (w*w*w/(w*w**2/w))/w**(-1)*(w**(-9)*w)/w*(w*((w*w**10*w)/w)/w)/w assuming w is positive. w**3 Simplify ((w**(-3)/w**0)/((w*w**(-6/11)*w)/((w*w/(w*w**0*w))/w*w)))**(-6) assuming w is positive. w**(294/11) Simplify ((((o*o**(-13)/o)/o)/(o*o*o**(3/5)))**(-34))**(-9/14) assuming o is positive. o**(-12699/35) Simplify (m**(2/13)*m)**(-46)/(m**18/m**14) assuming m is positive. m**(-742/13) Simplify r**3/(r*r**(-2/7))*((r/r**7)/r)**10 assuming r is positive. r**(-474/7) Simplify ((l/(l/(l**14*l)))/(l/l**(4/23)*l*l))/((l/(l/(l**11*l)*l))/l**(-3/4)) assuming l is positive. l**(39/92) Simplify ((k/(k**18/k))/(k/k**(-3)))/(k**(-10))**9 assuming k is positive. k**70 Simplify (a**(-4/3)/a)**(-1/48)*a**(3/10)*a/a**(-2/33) assuming a is positive. a**(11161/7920) Simplify (c**(2/15))**(-9/10)/((c**8/c)/c**(-2/3)) assuming c is positive. c**(-584/75) Simplify ((l*l/(l/(l*l*l**7*l)*l*l)*l)/(l**(2/59)/l))**20 assuming l is positive. l**(12940/59) Simplify (m*m**1*m)**(1/53)/(m/(m*m/(m**(2/5)*m*m)))**(-5) assuming m is positive. m**(374/53) Simplify ((i**(1/35)*i)/i**(3/11))/(i*i*i*i**(1/9)*i*i**7) assuming i is positive. i**(-35881/3465) Simplify ((y/y**(-1))/y)**(-29)/(y/y**(-1)*y**(-5/2)) assuming y is positive. y**(-57/2) Simplify (s*s**(1/15)*s/(s*s**11*s))/(s**(-1)/(s*s**(-2/19)*s*s)) assuming s is positive. s**(-2006/285) Simplify (((g**1)**(-3/11))**18)**(3/28) assuming g is positive. g**(-81/154) Simplify (((z*z**(-2))**(5/17))**18)**(2/65) assuming z is positive. z**(-36/221) Simplify f**3*f*f**(-9)*f**7*f*f*f**(11/2)*f assuming f is positive. f**(21/2) Simplify (((z/((z**(2/51)/z)/z))/z)/z**13)/(z**(3/5)*z**(-8/3)*z) assuming z is positive. z**(-2543/255) Simplify ((l**(-11/2)/l)/l**19)/((l*l*l**(4/11))/((l*l**(2/55)/l)/l)) assuming l is positive. l**(-3171/110) Simplify (u*u**(-2/7))**11*u**11/u**(1/4) assuming u is positive. u**(521/28) Simplify (((h*h*h**8)/h)/(h/(h*h*h/(h*h**6))*h))/(h*h/(h*h**(-3/17)*h)*h)**8 assuming h is positive. h**(-109/17) Simplify ((a**1)**5*(a*a*a**(-2/5))/a**3)**(-27) assuming a is positive. a**(-486/5) Simplify y**(-16)/y*y**11/y*y*y*y/y**19*y**(-18)/y assuming y is positive. y**(-42) Simplify (((x*x/(x**(-2/3)/x*x))/x)**(-15/8)/(((x/(x/(x/x**(1/2))))/x)/x*x)**19)**8 assuming x is positive. x**51 Simplify (b**(-2/7)*b*b)**(-18)*(b**0)**(-8/7) assuming b is positive. b**(-216/7) Simplify (h/(h/h**(-2/7)))**34*h**(-3/5)*h*h*h*h**(-1/6) assuming h is positive. h**(-1571/210) Simplify t**23/t**(-19)*t/t**(-2/5)*t**(-3/20) assuming t is positive. t**(173/4) Simplify ((i/i**13)/i**(3/8))/(i*i*i**(-3/14)*i*i**(1/34)/i*i) assuming i is positive. i**(-14461/952) Simplify l/(l/(l/l**(-5/17)))*l*l**(-34)*l*l*l**37/(l*l**(-3/16)*l*l) assuming l is positive. l**(1219/272) Simplify (t**(-9)*t)**(-2/41)*t/(t*t**(-1/6))*t**(-23)*t*t assuming t is positive. t**(-5029/246) Simplify z**(1/12)*(z/z**(-1/3)*z*z)/z*z/(z**(-2/3)*z)*z/(z**(2/21)/z) assuming z is positive. z**(419/84) Simplify (((l/l**(2/9))/l*l)/(l**(-2/13)*l))/(l**(-1/11)*(l/(l/(l/l**(2/15))))/l) assuming l is positive. l**(1003/6435) Simplify (o/(o**(-8)*o))**23*(o/(o/(o**(-7/4)/o*o)))**0 assuming o is positive. o**184 Simplify (c**(-2/9))**(-5)/(c**(-1/13)*c*c/((c/(c*c**(-11)))/c)*c) assuming c is positive. c**(958/117) Simplify p*p*p**10*p**(-10)*p*(p*p/(p/p**10*p))/((p/(p/p**16))/p) assuming p is positive. p**(-2) Simplify (p**17*p*p)**(-28)/((p*p**11)/(p/p**25*p)) assuming p is positive. p**(-567) Simplify (t**(-4)*t/((t*(t/(t/(t*t/((t*t*t**(-24)/t)/t)))*t)/t*t)/t))/(t/(t/(t/t**(-1/3)))*t*t**(2/29)/t) assuming t is positive. t**(-2732/87) Simplify ((k*k**(-7/4))/(k/(k/k**13)*k*k))**18 assuming k is positive. k**(-567/2) Simplify (d*d/(d/((d*d/d**(-2))/d*d*d)))**11/(d**4)**(-19/3) assuming d is positive. d**(274/3) Simplify j**(-4)/((j*j*j**(-4)*j)/j)*(j**(-13))**(7/5) assuming j is positive. j**(-101/5) Simplify (((k/((k*((k*k**(2/25)*k)/k)/k)/k)*k)/k)/k*k**(9/4)/k*k)**(7/5) assuming k is positive. k**(1519/500) Simplify ((v**(3/7)*v)/v)**28/((v**(-5/4)*v)/((v/(v*v**(-14))*v)/v)) assuming v is positive. v**(105/4) Simplify ((w**(-2/9)*(w*w/(w*w**(-3)*w))/w)/(w**(-1/2)*(w*(w**(-6)/w)/w)/w))**(-26) assuming w is positive. w**(-2405/9) Simplify c**(-4/7)*c*(c**(-1/12)*c)/c*c*(c**12)**(-3/2) assuming c is positive. c**(-1399/84) Simplify f**(-1/13)*(f/(f*f**(1/9)*f))/f*f**8/f**(-7/2) assuming f is positive. f**(2179/234) Simplify ((x/((x*x/(x*x/((x*(x*x/(x**0/x))/x*x)/x*x*x)*x*x))/x*x)*x)**6*(x*x*x*x*x**1)**(2/43))**(2/11) assuming x is positive. x**(-496/473) Simplify (g**(-2/9))**5/(g/g**(-4)*g**(-7)) assuming g is positive. g**(8/9) Simplify (d/(d**(1/3)*d))**(-26)*d**(-18/5)*(d**(-1/36)/d)/d assuming d is positive. d**(547/180) Simplify ((r**(-19)/r)/r*r**(-2/5))/(r/((r**4*r)/r)*r**(-23)) assuming r is positive. r**(23/5) Simplify z**(-8/5)/z**(2/11)*z**(-11)/(z*z**6) assuming z is positive. z**(-1088/55) Simplify (x**3)**(-30)*(x*x/x**27*x)/(x**6/x*x) assuming x is positive. x**(-120) Simplify ((d**(-2/75)/d)/d**6)**(-2/3) assuming d is positive. d**(1054/225) Simplify (f**(-2))**(-21)*((f**(-1/7)*f)/f)/f*f**(-6)*f assuming f is positive. f**(251/7) Simplify ((l**(-23)/l)/l*l*l/(l*l*l**(2/17)))/(l*l/(l/l**(-1/6)*l))**(-8) assuming l is positive. l**(-1349/51) Simplify ((a**(1/6)/a**(-3/5))/(a**3*a**(2/5)))**(5/12) assuming a is positive. a**(-79/72) Simplify (j**(-39)*j)/(j*j**(5/12))*(j/j**2*j)/j**(1/12) assuming j is positive. j**(-79/2) Simplify (p**2*p**(-2/27)*p)/((p*p**17)/(p**30*p)) assuming p is positive. p**(430/27) Simplify (y/(y**(-7)*y)*y**(-26/9)/y*y)**20 assuming y is positive. y**(740/9) Simplify (d/((d*(d*d*d**15/d)/d)/d))**32*(((d/((d/d**(2/15))/d))/d*d*d)/d*d)**(6/7) assuming d is positive. d**(-15616/35) Simplify (i**(3/10)/(i*i/((i**(1/4)/i*i*i)/i*i)))/(i**(9/2)*i**(4/15)) assuming i is positive. i**(-313/60) Simplify ((h/(h/(h**(-1/18)/h)*h))/h**(-7))/(h*h**(-3)*h*h)**(-3/13) assuming h is positive. h**(89/18) Simplify q**4/((q**(-5/2)/q)/q)*(q/(q/(q**(-3)*q)*q))**(-1/6) assuming q is positive. q**9 Simplify (c/((((c*c**0)/c)/c)/c))**11*c/(c/(c/(c*c*c/((((c*c**(-1/6))/c)/c*c*c)/c)*c)*c))*c**(-7) assuming c is positive. c**(143/6) Simplify ((y**(4/5)*y/y**(2/31))/((y/y**(1/6))/((y**(-1/5)*y)/y)))**(4/27) assuming y is positive. y**(1306/12555) Simplify (m/m**(-5))**(-34)/(m/(m*m**(-10/7))*m*m**(7/2)) assuming m is positive. m**(-2939/14) Simplify ((u*u**(-2/61)*u*u)/u)/u**(6/19)*u**31*u/u**2 assuming u is positive. u**(36684/1159) Simplify (((s/((s/(s/(s*(s/s**(6/5))/s)))/s*s))/s)/(s**(-14)*s*s*s))/(((s**(3/11)*s*s)/s)/s**4) assuming s is positive. s**(766/55) Simplify (i**(3/4)*i*i**(-5))/(i/i**(-1/25))**4 assuming i is positive. i**(-741/100) Simplify o**14/o*o/(o**4*o)*(o*o/o**(-1/2)*o)/(o**(3/5)*o) assuming o is positive. o**(109/10) Simplify ((f**(-2/5)*f/(f**(-4/7)/f))/(f*((f/(f*(f/(f*f**(-5)))/f))/f*f)/f*f**(4/7)))**2 assuming f is positive. f**(56/5) Simplify (((c**(3/8)/c*c)/(c*c/(c*c**6*c)))/(c**(-2/5))**(2/11))**(-5/6) assuming c is positive. c**(-2837/528) Simplify ((g**(-2/5)/g)/g)/(g*g*g**(1/9)*g*g)*g**9*g*g*g**6/g assuming g is positive. g**(427/45) Simplify c/c**(-2/7)*c*c**(-2)*c*c*c**(6/5)/c*c/(c**12*c) assuming c is positive. c**(-333/35) Simplify (k*k/k**(2/23))/k**(-2/3)*((k**(-5)/k)/k*k)**(-2/41) assuming k is positive. k**(8126/2829) Simplify ((r*(r*r**(-8))/r)/r)/r**(-29)*(r*r*r/(r**(2/13)/r))**(27/4) assuming r is positive. r**(1221/26) Simplify ((x**(1/7)/x)/(x**(-11/5)/x*x))/(x*x**(-3))**(-47) assuming x is positive. x**(-3243/35) Simplify y*y/(y/(y*y/(y/((y*y/((y*y**(-1/16))/y*y))/y))))*y/y**(-7)*y*(y/y**(-8))/(y**1/y*y) assuming y is positive. y**(305/16) Simplify (k*k*k/k**(-5/3))/(k/(k**(1/2)*k*k)*k)*k/(k/((k/((k**(-2/5)*k)/k*k*k))/k))*k*k*k*k*k**(-3/4)*k assuming k is positive. k**(469/60) Simplify h**6/h**(-14)*h/(h/h**3)*h*h**(4/11) assuming h is positive. h**(268/11) Simplify t/(t**2*t)*t**11*t*t*t/t**(-1/2)*t**(-8)/t assuming t is positive. t**(7/2) Simplify (a**(-1/2)/a)**(1/6)/((a**5/a)/a*a/(((a**5*a*a*a)/a)/a)) assuming a is positive. a**(7/4) Simplify ((w**(-1/8)/(w*w**(2/17)))**(-1/13))**(-1/20) assuming w is
{ "pile_set_name": "DM Mathematics" }
e tens digit of v(-7)? 3 Let h be 4 + -3 + -4 + (-23 - 0). Let i = 71 + h. What is the units digit of i? 5 Let w(f) = f**3 - 10*f**2 + f - 9. Let b be w(10). Let t = 4 + b. Suppose t*d + 5*r = 105, -2*r + 52 + 26 = 4*d. What is the units digit of d? 8 Let c(n) = 111*n**2 + 3*n + 4. Let x(p) = -223*p**2 - 6*p - 7. Let u(z) = -7*c(z) - 4*x(z). What is the units digit of u(1)? 8 Let q(z) = 2*z**3 + z**2 - 2*z + 2. Let d be q(1). Suppose -d*y + 5*f + 411 = y, -2*y + 223 = f. What is the tens digit of y? 0 Let n be 34/9 - (33/(-27) - -1). Let q(o) = -o**3 + 6*o**2 + 2*o + 1. What is the units digit of q(n)? 1 Let m be 3*-1*(-136)/12. Let k = -32 + m. Suppose -s + 23 + 12 = o, -122 = -4*s + k*o. What is the units digit of s? 2 Suppose 5 = 5*a - 5. Suppose v - a*v = -66. What is the tens digit of v? 6 Let x = 767 - -1270. What is the tens digit of x? 3 Suppose 3*p - 341 - 124 = 0. Let k = p - 89. What is the tens digit of k? 6 Let v(j) = j**3 - 9*j**2 + 19*j - 12. Let a be v(7). Suppose 0 = -4*m, 0*m + 25 = 5*k - m. Let c = k + a. What is the units digit of c? 8 Let x be (5 + -4)*(-12)/(-4). Suppose x*l = -z - 0 - 11, 0 = 5*z - 5*l - 45. What is the units digit of z? 4 Suppose 6*h = 2*h + 4*g + 52, 4*h + g = 37. Let n be h/4 - (-1)/2. Suppose 5*z + 40 = 5*j - 4*j, n*j + z = 200. What is the units digit of j? 5 Let a(q) = q + 3. Let p be a(2). Let m = -3 + p. Suppose -m*f + 5*f = 132. What is the tens digit of f? 4 Suppose 1 = -3*u - 6*g + 2*g, -u = -5*g + 13. What is the tens digit of u/(-2)*((-668)/(-12) + -3)? 7 Suppose 3*q - 3691 - 3379 = -2*l, -4*q + 2*l = -9422. What is the hundreds digit of q? 3 Suppose 0 = -2*t - 6, -5*g + 2*t = -2*t - 27. Let o be 3/(-6)*(-8 + 8). Suppose o = 3*j + 5*u - 155, 2*u - 45 = -j - g*u. What is the tens digit of j? 5 Let c(f) = 3*f**2 - 2*f - 7. Let x be c(3). Suppose 5*u = -4 + x. Suppose -1 = 4*h + 19, 14 = 4*p + u*h. What is the units digit of p? 6 Suppose 4*r = -2*i + 5*i - 54, -2*r - 2*i - 20 = 0. What is the hundreds digit of r/8*262/(-3)? 1 Let f be (1*180/(-8))/((-1)/(-2)). Let z = f + 107. What is the tens digit of z? 6 Suppose -3*p + 25 = 5*l - 4683, 3*p = -l + 932. What is the hundreds digit of l? 9 Let n(a) = -9*a - 3*a + 1 + 23*a. Suppose 0 - 3 = -3*q. What is the tens digit of n(q)? 1 Suppose 7250 = 5*a - 5*u, -3*a = 2*u + 22 - 4372. What is the hundreds digit of a? 4 Let v(j) be the first derivative of j**4/4 - 10*j**3/3 - 4*j**2 + 5*j + 5. What is the tens digit of v(12)? 9 Suppose 5*k - 7 = -147. Let g be ((-14)/4 + 3)*k. What is the units digit of (21/g)/((-1)/(-2))? 3 Let d(z) = z**2 - 3*z + 8. Let k be d(-4). Let u = k + 4. What is the tens digit of u? 4 Let d(k) = -k - 9. Suppose -2*f = -8*f - 102. What is the units digit of d(f)? 8 Let s = -46 - -26. Suppose 0*i + 186 = -3*b + i, 2*b = 4*i - 124. Let l = s - b. What is the units digit of l? 2 Suppose 3*q - 288 = 3*y, -y + 194 = 2*q - 4*y. Suppose -3*s = 2*t + 64, -2*s - 24 = -3*t - q. Let c = -11 - t. What is the tens digit of c? 1 Let k = 115 + -115. Suppose 4*w - f = -k*f + 421, w - 79 = -5*f. What is the tens digit of w? 0 Suppose -3*h + 6*a + 2501 = 2*a, 3*a = 3*h - 2505. What is the units digit of h? 9 Let r(l) = -l**2 - 17*l - 22. Let g be r(-15). Suppose 4*b = g*b - 144. What is the units digit of b? 6 Let q(j) = -j**3 + 16*j**2 - 8*j - 17. Let x(n) = 2*n**3 - 14*n**2 + 2*n + 1. Let y be x(7). What is the tens digit of q(y)? 8 Let p(r) = 11*r + 10. Let d be p(21). Let o = 31 + d. What is the tens digit of o? 7 Let w(x) = 4*x**2 + 31*x + 302. What is the thousands digit of w(-35)? 4 Suppose -b - 2*b - 5*i - 68 = 0, -b - 4*i = 11. Let t = -26 - b. Suppose -5*h = -4*z + 291, -t*z - 5*h + 252 = -78. What is the tens digit of z? 6 Let n(j) = j**3 - 17*j**2 + 9*j - 46. Let a be n(17). Let p = -84 + a. What is the tens digit of p? 2 Suppose -4*j = -3*j + 5*g - 347, j = 5*g + 297. What is the hundreds digit of j? 3 Let y(q) = 3*q**2 + 2*q. Suppose 0 = -i - 4*p + 2, -2*i + 4 = -p + 9. Let o be y(i). Let v = 16 - o. What is the units digit of v? 8 Suppose r + 1275 = 2*z, 38*z - 43*z + 3195 = -4*r. What is the units digit of z? 5 Let b = 982 - 184. What is the units digit of b? 8 Let q = -406 + 981. What is the hundreds digit of q? 5 Let v = -986 + 1029. What is the tens digit of v? 4 Let d(o) be the second derivative of -11*o**3/3 + 2*o**2 - 16*o. What is the units digit of d(-6)? 6 Suppose 0 = 4*k + 2*m + 18, -3*m - 1 = -5*k - 7. Let y be (-1542)/k*(-4)/(-8). Suppose -5*n - 62 + y = 4*v, -3*v - 15 = 0. What is the tens digit of n? 4 Suppose 3*f = -y + 541, -7*y + 2234 = -3*y - 2*f. What is the units digit of y? 6 What is the thousands digit of (863/3*24)/2? 3 Suppose -4*j = 4*q + 28, -3*q - 5*j = -6*j + 13. What is the units digit of (9/(-5))/(q/150)? 4 Suppose -4587 = 6*l - 17679. What is the thousands digit of l? 2 Let w(a) be the first derivative of a**2/2 + 4*a - 2. Suppose 5*q + 12 = 9*q. What is the units digit of w(q)? 7 Suppose 0 = -4*x + 201 + 7. Suppose 0 = -a + 68 + x. What is the tens digit of a? 2 Suppose -4*j + 43 + 25 = 2*b, 0 = 5*b - 10. Suppose v = 6*v + 10. Let i = j + v. What is the units digit of i? 4 Let z(a) = a + 1. Let r(x) = 7*x - 2. Let y(g) = -r(g) - 5*z(g). Suppose 3*m - o + 13 = 4, -3*o + 6 = -2*m. What is the tens digit of y(m)? 3 What is the tens digit of (36/56)/(60/(-70))*-2884? 6 Let f = 8 + -23. Let r = f + 21. What is the units digit of (0 - r)*160/(-30)? 2 Let x = 2160 + -1219. What is the tens digit of x? 4 Let t be 2 + (1 + -4 - -1). Suppose 2*i + 10 = t, -3*i = 2*c + i + 62. What is the tens digit of (-1056)/c - 2/7? 5 Let w = -632 + 1058. What is the tens digit of w? 2 Suppose -234*x - 38857 = -247*x. What is the thousands digit of x? 2 Suppose 3*q + 5*p + 24 = 0, 0 = 3*p - p + 6. Let b(k) = -k**2 - 6*k - 4. Let u be b(q). Suppose -7 = -m + u. What is the units digit of m? 2 Let m = -114 - -138. What is the units digit of (-2286)/(-21) + -1 + m/21? 9 Let b(y) = 2*y**2 - 14*y - 16. Let j be b(17). Suppose j + 72 = 4*z. What is the units digit of z? 9 Suppose 0 = 4*z + z - 1000. Let a(l) = 36*l**2 - l - 4. Let p be a(-2). Let i = z - p. What is the tens digit of i? 5 Let k(x) = x**2 + 9*x + 16. Let v be k(-8). Let t be (-20)/45*(-36)/v. Suppose 7*p - t*p = 125. What is the units digit of p? 5 Let u(o) = -3*o - 12. Let i = 23 + -34. Let y be u(i). Let m = 39 - y. What is the units digit of m? 8 Suppose 3*u = 3*w + 2*w + 15, 5*u = w + 25. Suppose u*p = -17 + 452. What is the units digit of p? 7 Let g(k) = k**2 + 13*k + 22. Let h be g(-12). Let z = 0 + 0. Suppose 0 = 2*t + h, 2*n - t + 2*t - 1 = z. What is the units digit of n? 3 Suppose -5*x = 5*j - 13275, -35*j = -30*j - x - 13299. What is the thousands digit of j? 2 Let b(t) = -t + 2. Suppose -2*c = -c - 7. Let y be b(c). What is the units digit of 4/10 - 13/y? 3 What is the thousands digit of -2 + (-9 - -7) + (-1532)/(-1)? 1 Let i be 5/((-1)/((-1)/(-1))). Let c be -37 + i/(5/(-3)). Let q = -19 - c. What is the units digit of q? 5 Suppose -5*f + 3275 = 5*o, -8*f + 3266 = 5*o - 6*f. What is the units digit of o? 2 Let l(i) = i**3 - 28*i**2 + 33*i + 49. What is the hundreds digit of l(30)? 8 Suppose 3*i + 20 = -5*z + 7*i, 0 = -5*i + 25. Suppose c - 5*o = -z*c - 4, 5*o = -2*c + 37. Let x(h) = h - 7. What is the units digit of x(c)? 4 Suppose 0 = -7*x + 10*x - 12. Suppose -n = x*t - 19, t + n = -1 + 5. What is the units digit of t? 5 Suppose -5*n + 111 = -3*y, -4*n + 5*n - 11 = -5*y. Suppose -3*i + 61 = 5*j, -i - 4*j + 2*j + n = 0. What is the tens digit of i? 1 Let j(y) = -y**3 + 2*y**2 + 3*y + 2. Let q be j(4). What is the units digit of (-4)/(58/q - -3)? 8 Suppose a = -2, 2913 = 5*d + 2*a - 2888. What is the tens digit of d? 6 Suppose 2*l = -5*h + 42, 5*h + 54 = 4*l - 0*l. Let k = l - 13. Let u(z) = z**3 - z**2 - z + 4. What is the units digit of u(k)? 9 Suppose -6*b + 4 = -8*b. What is the units digit of (-2)/b + 3 + 92? 6 Let p = 250 + 26. What is the tens digit of p? 7 What is the hundreds digit of ((-6)/(-4))/((-9)/(-2826))? 4 Let z(o) = 8*o + 2 - 36*o - 1 - 50. What is the tens digit of z(-5)? 9 Suppose -2*x - 4 = 2*x. Let g be 37 + -3*x/(-1). Suppose -4*f + 10 = -g. What is the tens digit of f? 1 Let p be ((-18)/4 + -1)*-2. Let g(n) = -9*n + 17. Le
{ "pile_set_name": "DM Mathematics" }
multiple of 1684 and 2526. 5052 Calculate the lowest common multiple of 2 and 9298. 9298 Calculate the common denominator of 58/387 and 44/15. 1935 What is the lowest common multiple of 111 and 259? 777 What is the common denominator of -58/105 and -103/30? 210 What is the lowest common multiple of 520 and 8? 520 What is the common denominator of 53/1794 and -39/322? 12558 Calculate the least common multiple of 1764 and 840. 17640 Calculate the lowest common multiple of 330 and 66. 330 Calculate the least common multiple of 5 and 975. 975 Calculate the lowest common multiple of 74 and 222. 222 Find the common denominator of -109/370 and 11/370. 370 What is the smallest common multiple of 1309 and 9? 11781 What is the least common multiple of 315 and 45? 315 Calculate the least common multiple of 539 and 77. 539 What is the lowest common multiple of 2 and 153? 306 Calculate the lowest common multiple of 112 and 154. 1232 Calculate the smallest common multiple of 2 and 5407. 10814 What is the lowest common multiple of 225 and 50? 450 What is the smallest common multiple of 414 and 333? 15318 What is the smallest common multiple of 27 and 18? 54 Calculate the least common multiple of 18 and 105. 630 Calculate the common denominator of 67/5688 and -109/948. 5688 What is the common denominator of -95/924 and 16/343? 45276 Calculate the least common multiple of 219 and 146. 438 Calculate the least common multiple of 605 and 20. 2420 Calculate the smallest common multiple of 462 and 12. 924 Calculate the common denominator of -145/12 and 133/432. 432 Find the common denominator of -44/323 and 38/9. 2907 What is the smallest common multiple of 67 and 34? 2278 What is the common denominator of 95/22 and -17/980? 10780 Calculate the smallest common multiple of 195 and 2. 390 Calculate the common denominator of -121/5370 and -83/1074. 5370 What is the common denominator of -13/225 and 101/975? 2925 What is the smallest common multiple of 6050 and 5445? 54450 Calculate the smallest common multiple of 1909 and 498. 11454 Calculate the lowest common multiple of 180 and 144. 720 What is the least common multiple of 5312 and 6640? 26560 Find the common denominator of 37/170 and 35. 170 What is the common denominator of -16/63 and 61/1918? 17262 Calculate the smallest common multiple of 12 and 32. 96 Find the common denominator of -149/48 and 31/40. 240 What is the least common multiple of 225 and 330? 4950 Calculate the smallest common multiple of 10 and 6. 30 Calculate the least common multiple of 70 and 385. 770 Calculate the common denominator of 9/41 and -25/7. 287 Calculate the common denominator of -67/756 and -121/378. 756 What is the common denominator of -58/5 and 27/634? 3170 What is the common denominator of -15/77 and 53/133? 1463 What is the smallest common multiple of 28 and 54? 756 Calculate the common denominator of -5/31 and 1/120. 3720 Calculate the common denominator of -45/1444 and -131/114. 4332 What is the lowest common multiple of 121 and 2189? 24079 What is the common denominator of 21/1760 and 87/220? 1760 What is the smallest common multiple of 16 and 16? 16 Calculate the common denominator of 43/3162 and -43/248. 12648 Find the common denominator of 79/4 and 71/104. 104 What is the lowest common multiple of 60 and 30? 60 What is the smallest common multiple of 44 and 1336? 14696 Calculate the least common multiple of 101 and 44. 4444 Calculate the common denominator of -61/160 and -167/210. 3360 Calculate the lowest common multiple of 42 and 21. 42 Calculate the smallest common multiple of 234 and 26. 234 Calculate the common denominator of 56/5 and 55/104. 520 Find the common denominator of -44/305 and -6/11. 3355 What is the common denominator of 87/8 and -93/1444? 2888 What is the common denominator of 61/18 and -13/48? 144 What is the lowest common multiple of 18 and 2220? 6660 What is the common denominator of 17/450 and 94/105? 3150 What is the common denominator of -3/16 and 73/266? 2128 What is the smallest common multiple of 105 and 510? 3570 What is the lowest common multiple of 1092 and 156? 1092 What is the least common multiple of 32 and 44? 352 What is the least common multiple of 1030 and 50? 5150 What is the least common multiple of 40 and 16? 80 Calculate the common denominator of -15/8 and -71/192. 192 Calculate the common denominator of 123/70 and 19/70. 70 What is the lowest common multiple of 260 and 26? 260 Calculate the lowest common multiple of 15298 and 18. 137682 Calculate the common denominator of -81/10 and -119/36. 180 Calculate the common denominator of -113/20 and -151/342. 3420 Find the common denominator of 4/1353 and 3/715. 87945 Find the common denominator of 40/3 and 73/75. 75 Calculate the smallest common multiple of 6 and 5924. 17772 What is the common denominator of 97/80 and -15/112? 560 What is the common denominator of -73/3 and 19/2259? 2259 What is the least common multiple of 13 and 10? 130 Calculate the common denominator of 21/8 and -23/30. 120 What is the common denominator of 65/63 and 5/1008? 1008 What is the smallest common multiple of 156 and 3? 156 Calculate the least common multiple of 15 and 55. 165 What is the lowest common multiple of 3294 and 30? 16470 Find the common denominator of 53/856 and -101/5136. 5136 Calculate the common denominator of -51/320 and -19/50. 1600 Calculate the smallest common multiple of 75 and 99. 2475 What is the common denominator of -109/312 and 133/156? 312 What is the least common multiple of 182 and 12? 1092 What is the least common multiple of 6 and 54? 54 What is the common denominator of 31/11 and -117/2570? 28270 What is the least common multiple of 6 and 3818? 11454 Calculate the smallest common multiple of 297 and 1485. 1485 What is the common denominator of 73/12 and -7/292? 876 Calculate the lowest common multiple of 175 and 2275. 2275 Calculate the lowest common multiple of 146 and 14. 1022 Find the common denominator of -25/11 and 33/1436. 15796 Find the common denominator of -23/42 and -125/182. 546 Calculate the least common multiple of 86 and 7. 602 Calculate the smallest common multiple of 102 and 10. 510 Calculate the common denominator of -67/33 and -62/999. 10989 What is the lowest common multiple of 3 and 39? 39 Find the common denominator of -53/1064 and 61/1120. 21280 What is the lowest common multiple of 72 and 630? 2520 Calculate the smallest common multiple of 3042 and 2028. 6084 What is the least common multiple of 2328 and 1164? 2328 Calculate the least common multiple of 16 and 14. 112 What is the lowest common multiple of 252 and 693? 2772 Calculate the common denominator of -50/957 and -49/132. 3828 What is the common denominator of 31/115 and 29/140? 3220 What is the common denominator of 101/6880 and -47/5160? 20640 Find the common denominator of -28/5 and -65/3528. 17640 Calculate the common denominator of -61/25 and 101/150. 150 Calculate the common denominator of -7/3468 and -74/9. 10404 Find the common denominator of -127/6360 and 14/2385. 19080 Calculate the least common multiple of 28 and 154. 308 What is the common denominator of 93/2 and -43/920? 920 Calculate the common denominator of -93/448 and -9/134. 30016 Calculate the common denominator of -8/161 and 7/115. 805 Calculate the least common multiple of 1017 and 9605. 86445 Calculate the common denominator of 117/400 and 61/520. 5200 What is the lowest common multiple of 53 and 14? 742 What is the lowest common multiple of 108 and 10? 540 What is the smallest common multiple of 14 and 28? 28 What is the common denominator of 27/1316 and 17/12? 3948 What is the least common multiple of 546 and 312? 2184 Calculate the least common multiple of 7258 and 7. 50806 What is the lowest common multiple of 62 and 155? 310 What is the lowest common multiple of 84 and 12? 84 What is the least common multiple of 11 and 79? 869 What is the smallest common multiple of 2224 and 11? 24464 Find the common denominator of -71/120 and 2/105. 840 What is the smallest common multiple of 38 and 10? 190 Find the common denominator of 33/16 and 59/90. 720 Calculate the lowest common multiple of 75 and 2875. 8625 What is the common denominator of -49/66 and -187/30? 330 Calcula
{ "pile_set_name": "DM Mathematics" }
+ f*c = 10, d = -d - 4*c for d. -2 Let q(j) = 6*j + 292. Let w be q(-48). Solve -w*b + 0*i - 4*i + 8 = 0, i - 2 = -2*b for b. 0 Suppose 5*v + 12 = 7*v + 2*z, -12 = -v - 3*z. Solve 0 = -4*q - k + 1, -5*q - v*k = -4*k + 10 for q. -1 Let l = -13 + 7. Let q be l/(-8) - 10/(-8). Solve 0 = -3*m - 2*b - q, -m + 2*b = 6*b + 14 for m. 2 Suppose -x - 2 - 7 = -3*v, v + x - 3 = 0. Suppose -4067 + 4023 = -11*u. Solve -5*c - 3*d = 3, 0 = -c + v*d - 11 - u for c. -3 Let o = 9 - 41. Let n = o - -39. Solve 0 = 2*u + 8, 3*u + 3 + n = 2*i for i. -1 Let y = 1494 + -1487. Solve 4*c + w = y, 3*w = c - 16 - 2 for c. 3 Let c = 0 + 2. Suppose -3*n = 2*b + 11, 4*n + 16 + c = -b. Let y = -29 + 43. Solve -b*w = g - 1, 0 = 4*g - 8*g - 2*w - y for g. -5 Let u(o) = o**3 + 3*o**2 - 5*o + 1. Let c be u(-4). Solve 4*w + x = c, 4*w - 4*x = -26 + 6 for w. 0 Let c = 96 + -48. Suppose -6*x + 3*x = -c. Solve 2*f = 4*f + 3*n - 12, -5*f - 4*n = -x for f. 0 Suppose -921 + 729 = -12*l. Solve 1 = -5*b + 4*f, l = 4*b + f - 0 for b. 3 Let b be -4 + 1 - (-20)/2. Suppose 3*v - 47 = -14. Let h = -60 - -64. Solve 4*k = -h*i - b - 13, -2*i = -5*k - v for i. -2 Let u(r) = r**3 - 13*r**2 + 13*r - 4. Let l be 24/(-100)*-5*10. Let s be u(l). Solve 0*i - s = 2*i + 5*q, 2*q = -3*i - 1 for i. 1 Suppose -2*q = 4*h - 0*h + 10, 0 = q - h - 7. Suppose 3*r - 99 = -3*a, r - q*a + 8*a = 45. Solve j - l + 6 = 14, -3*j + 5*l + r = 0 for j. 5 Let g(x) be the third derivative of 0*x + 1/24*x**6 + 1/6*x**3 + 0 - 3*x**2 + 0*x**5 + 0*x**4. Let i be g(1). Solve 3*p - 2 = -2*m, -m - 3*m = p + i for p. 2 Suppose -41 + 53 = 2*y. Solve -3*o - y = 4*w, -w - 3*o - 1 = -2*o for w. -3 Let m(g) = -g**3 + 53*g**2 - 10*g + 532. Let y be m(53). Solve 5*c = -4*f + 29, 0*f = -y*f + 3*c - 13 for f. 1 Let r be (-2)/((-2)/((-12)/(-3))). Let f be (3 + 2/(-2))/1. Let m = 6 - f. Solve -3*h - 1 = -r*b + 6, m*b = -4*h - 28 for h. -5 Suppose -6 - 10 = -3*y - 4*d, 8 = -4*y + 2*d. Let j be y*((-5)/(-10))/1. Suppose j*m = 3*m. Solve 4*c + 3*u - 11 = m, -4*c + 4*u = -0*u - 4 for c. 2 Let a(i) = i + 1. Let x(w) = -w**3 + 7*w**2 - 3*w - 16. Let k(n) = 5*a(n) + x(n). Let d be k(7). Solve 5*u - 8 = -6*r + d*r, 5*u = r + 4 for r. 1 Let p(l) = -19*l**2 + 20*l**2 + 3*l + 5 - 2*l. Let i be p(0). Suppose 0 = -i*t + t. Solve -4*o + 4*q - q - 17 = t, -3*o - 2*q - 17 = 0 for o. -5 Let f = -301 - -305. Solve 4*r + 6*m + 7 = m, 0 = f*r + 4*m + 4 for r. 2 Let o = 1250 - 1250. Suppose 0*w = -5*w + 70. Let n = -8 + w. Solve 2*g = v, o = 5*g + 5*v - n - 9 for g. 1 Suppose -2*n + 16 = 3*w, -3*n + 23 = 2*w + 2*w. Solve 0 = -a + 2*p + 6, -3*a = w*a - 3*p - 9 for a. 0 Let o be 0 + 8 - 15/3. Solve -3*c - 27 = -5*q, -5*q - 4*c = -c - o for q. 3 Suppose -33*x + 12*x = -126. Solve 2*q = -10, t + 14 = -3*q - x for t. -5 Suppose 141 + 87 = 12*x. Solve -2*f = -0*f + 2*z + 2, -x = 3*f - z for f. -5 Let j be -10*((-78)/15 - -5). Solve -j*c + 3*p = 3, c + 4*p - 8 = -4 for c. 0 Suppose -v - 3*v + 156 = 0. Let z = -23 + v. Suppose 2*a = -8, -3*n = -0*n - a - z. Solve 2*m = 4*l - 16, -n*l - 3 = 3*m - 3*l for m. -2 Let v = -321 + 323. Solve 3*n - 2*u - 1 = 0, -3*n + v*u = -2*u + 1 for n. 1 Let o(i) = 2*i**3 + 35*i**2 - 16*i + 39. Let h be o(-18). Let p(t) = -t**3 + 4*t**2 + 2*t - 5. Let q be p(4). Solve -q*k - a = 14, 3*a = -h*k + a - 19 for k. -3 Let c be (3/(-2))/(15/10 + -2). Solve 2*h = -c*v + 8, 14 + 6 = -2*v + 5*h for v. 0 Let c(r) = -r**2 + 4*r - 1. Let s be c(5). Let o be (-50)/(-4) + 3/s. Solve -3*j + 2*m = -7*j + o, -2*m + 8 = 2*j for j. 2 Let z = 1431 - 1427. Let y(u) = -6*u - 5. Let x(q) = -3*q - 3. Let j(i) = 5*x(i) - 2*y(i). Let w be j(-4). Solve -a = z*p + w, a + 2*p - 2 = -3 for a. 5 Let w be ((-59)/(-7) + -9)/(1/(-7)). Solve -p + 2*g = -0*g + 2, -w*p = g - 10 for p. 2 Suppose 5*f = -8*f + 5*f. Suppose -v + 12 = 3*v. Solve f = q, v*u + q = -q for u. 0 Let c(o) = -3*o**3 + 2*o**2 - 1. Let u be c(1). Let p be (-60)/18 - u/(-3). Let s be (-285)/(-20) + (-3)/p. Solve 4*q + 8 + 11 = -3*a, 3*a = -s for q. -1 Suppose -3*j - 31 = -58. Let x be 12/8 - j/(-6). Solve -4*n = x*i + i - 8, 0 = 5*i - 5*n for i. 1 Let g = 973 + -973. Solve -2*k + k - l - 6 = g, 0 = 3*l + 3 for k. -5 Let z be 1558/8 - 12/(-48). Let i be 2/16 + z/40. Solve -16 = -i*q + 3*s, q - 4*s = -4*q + 18 for q. 2 Let p(d) = d**3 + 2*d**2 + d - 27. Let j be p(0). Let z = 28 + j. Solve -h = 2*b - 13 + z, 0 = -5*h + 3*b + 8 for h. 4 Let p = -11 + 13. Solve 5*i - 20 = 5*n, -n = i - 0 - p for i. 3 Suppose 5*t = 6*t - 2*v - 19, -2*t = -v - 29. Solve -t = q + q + 3*f, -5*q - 28 = 3*f for q. -5 Let p(y) = y**3 + 12*y**2 + 6. Let r be p(-12). Solve 2*n = 0, 4*m - 3*n + r*n = -4 for m. -1 Let s(d) = d - 10. Let f be s(10). Suppose -y + 3*y = -12. Let i be -15*(-2 - 10/y). Solve -3*r + 6 = -i*n - f*n, -3*r = 3*n - 6 for r. 2 Let x = -89 - -91. Solve 2*h + h + 5*s + 5 = 0, -4*s - x = 2*h for h. -5 Let x(t) = -t**3 + 19*t**2 + 21*t - 8. Let d be x(20). Solve -g - 5*b = -22, -3*g - 1 = 4*b - d for g. -3 Let q be (-56)/(-21)*(-1 - -4). Suppose -4*j + q*j + 4*n = 20, -3*j + 3*n = -3. Solve 3*k - 3*y + 15 = 0, -j*y = -3*k - 7*y - 1 for k. -3 Suppose -3*p = 4*i - 34, -9 = -4*p + 4*i - 1. Suppose -9*z = -p*z + 5*m - 37, -5*z = m - 25. Solve 5*k + 29 = z*j, -2 = k - 2*j + 5 for k. -5 Let s(d) = -d**3 + 2*d**2 + 4*d + 1. Let k be s(3). Suppose 5*r - 25 = 2*v, k*r + 2*v - 14 = 6. Solve 4*i + 4 = 0, -2*g - 3 = r*i + 4 for g. -1 Suppose -95 = 70*a - 89*a. Solve -4*i - 3*x = -2*i + 9, a*i = -3*x - 9 for i. 0 Suppose -4*a = -5*x + a - 25, -2*x + 20 = 4*a. Let b = x - -6. Solve -2*l + b*y - 11 = 3*y, 5*l + y + 2 = 0 for l. -1 Suppose 0 = 3*c - 2*c - 4. Suppose -w = -4*k - 12, k = w + c*k + 2. Solve 2*y = -4*x + 10, -2*y + 6*y - 8 = -w*x for x. 3 Suppose -39*p + 156 + 234 = 0. Solve -5*f - p = 5*g, 0 = f - 3*g + 2 + 8 for f. -4 Let r(s) = s**3 - 6*s**2 - 5*s - 15. Let p be r(7). Let u be (1 - 6)*p*1. Solve -3*b - x - 2 - u = 0, x + 3 = b for b. -1 Let u be (-8)/(-3) - 4/6. Suppose -u*w - 4*p - 40 = w, -w + p - 4 = 0. Let y be (-2 + 5)*(-3 - w). Solve -4*b = 5*l + 6 - y, 5*l - 3*b - 37 = 0 for l. 5 Suppose 0 = -5*g + 11 + 9. Suppose 10 = -g*j + 42. Suppose -j + 36 = 2*i. Solve 3*v - i = -2*h + 3*h, -24 = h - 5*v for h. 1 Let f(j) = 79*j - 67. Let x be f(1). Solve -3*g = -x, -5*m + 8*m - 2*g - 7 = 0 for m. 5 Let r(x) = x**2 + 33*x - 143. Let k be r(-37). Solve -k*o - 18 = 4*h, -o - 2 = -0 for h. -2 Let c be ((-12)/(2 - 4))/1. Suppose -6*a = -3*a + 6, -2*y + 3*a = -c. Solve y = -p - 1, 0*z - 7 = -z + 5*p for z. 2 Let u(r) = -r - 8. Let p be u(-11). Solve h - 9 = -p*v, 2*h - 9 = 6*h - 3*v for h. 0 Let m be -1 + 60 - 9/(-3). Suppose -m = 2*l - 26. Let x = 18 + l. Solve -4*z + 2*z = f + 6, -3*z - 2*f - 10 = x for z. -2 Let r(t) = -t**2 + 9*t + 13. Suppose 2*f - 40 = -2*f. Let v be r(f). Solve 5*k + 10 = -3*g, -2*g - 10 = v*k + k for k. -5 Let f(c) = 9*c + 1. Let j be f(-1). Let p be -2*2*6/j. Suppose 0 = -i + 3*g, -4*i + p*g + 0*g = -36. Solve y - 5 = -5*q + i, -2*q + 10 = 2*y for q. 3 Let z(b) = -b**3 + 8*b**2 - 6*b - 7. Let o be z(7). Let c be 12/3 - o/(-3). Suppose -5*a + d + 60 = -a, d = -a + 15. Solve 5*i = a, 5*m - 2 + c = -i for m. -1 Let d = 1282 + -1278. Solve -3*k = 4*c, 2*k - 3*c + d*c = 0 for k. 0 Let m(k) = -k**3 + 9*k**2 + k - 3. Let v be m(9). Solve 3*w + v = -5*l, 5*w + 7 = -l - 3 for l. 0 Let i be (-3)/(-10) + (-370)/(-100). Solve -2*u - 3*n - 4 = -7*n, -4*u = -i*n for u. 2 Let q be ((-4)/(-6))/((-1)/18). Let p = q - -14. Let g(w) = 4*w**2 + w. Let c be g(-1). Solve -2*m = 0, x - 4*m + p*m - c = 0 for x. 3 Let c = 15 - -5. Suppose -7*r = -3*r - c. Solve -3*m + r*s = -5, 7*m + 3*s = 3*m + 26 for m. 5 Suppose 3*q - 4*d + 66 = 5*q, 3*q + 4*d - 95 = 0. Let w = -27 + q. Solve 0 = 2*z, 3*f - 3*z - 5 = w*f for f. 5 Suppose 14*a - 9*a = 0. Suppose -2*z - 3*f + 8 = 0, a*z - 4 = -z - 2*f. Solve 5*h + 25 = 0, -2*c + 3*h + 15 = -z*c for c. 0 Let u be -6 - ((-402)/51 + (-8)/68). Solve -u*b + c = -6, 6 = b + c - 0 for b. 4 Suppose -2*o = -5*q + 3*o + 35, -5*o - 26 = -2*q. Suppose 0 = q*m - 4*i - 91, -m - 2*m = i - 71. Solve 2*x + m = -5*h, 4*h = 4*x + 4 - 24 for h. -5 Suppose -7*q + 9*q = -3*z - 29, 4*z - 5*q = -8. Let x be z*(-2 - 40/(-28)) + 1. Solve x*y + 5*c - c = -41, -2*y - 6 = -c for y. -5 Suppose 0 = 2*p - 4*n - 6, p - n +
{ "pile_set_name": "DM Mathematics" }
-28)/154). 1/6 What is (-40)/24*1*(666/(-592))/((-3)/8)? -5 ((-1)/4)/(2040/(-3400)*-1*(-5)/4) 1/3 -29*(-2)/(12/(-114)*-19) 29 (-760)/1748*17/(-85) 2/23 (-7970)/(-7173)*(-13)/((-195)/378) 28 What is the value of (-252)/(-84)*(536/(-36))/((-8)/(-12))? -67 (57*440/10032)/((-7)/(476/(-15))) 34/3 Calculate ((-15)/25)/((10*6/(-150))/((-30)/(-1))). 45 Evaluate (7*(-9)/126)/(3/(1584/(-6))). 44 What is (-6*7/105)/(1110/(-37))*-2? -2/75 What is ((96/252)/8)/(5/245)? 7/3 Evaluate 1070/(-75)*(11220/136)/(-11). 107 (-21791)/(-15565)*68/(-28) -17/5 Calculate ((-69)/(-6))/((-10)/20). -23 Calculate (17937/3986)/(135/(-40)*-12). 1/9 What is the value of 1/(((-18)/24)/(((-1155)/22)/7))? 10 Calculate ((-1)/(-8)*-1)/(((-8424)/54)/(-936)). -3/4 What is the value of 3/(-2)*543/(40182/(-4588))? 93 What is 52768/(-5712)*714/(-68)? 97 What is the value of ((-78)/(-13))/(61/(163968/(-126)))? -128 Calculate (-32800)/(-198440)*(-33)/6. -10/11 ((-5)/(-420))/(4232/12696) 1/28 3*2/6*14*(-20001)/2478 -113 What is the value of -21*30/(-140)*60/700*10/(-9)? -3/7 2/((-1)/(-1))*(-1716141)/48342 -71 Evaluate 70*((-31)/(-837)*18)/(4*3/(-9)). -35 Evaluate 34/((-156774)/87)*6. -6/53 What is the value of (-126)/14*(-57)/((-28215)/(-6985))? 127 ((-135)/180)/((94/(-8))/((-63)/378)) -1/94 Calculate ((-12)/10)/((-37)/(-1665)*36). -3/2 What is the value of (4473/(-1704))/((-30)/160)? 14 What is the value of (2*(-3)/(-112))/(264/462)*15/45? 1/32 (-12408)/(-846)*6/(-11)*-3 24 ((-24)/(-3))/((-42)/(-14))*(-1)/(-60)*5 2/9 What is ((-5)/20*-2)/(136/153*(-1260)/(-80))? 1/28 What is the value of ((((-168)/(-140))/((-12)/40))/(-74))/((-17)/17)? -2/37 What is 117*(-22)/(-190476)*(-3)/3? -1/74 What is the value of (-16*255/2448)/((-16)/(-8))? -5/6 What is the value of (2730/2340)/(((-80)/(-12))/(-10))? -7/4 What is the value of 1/((12/20*5)/(996/(16/4)))? 83 Calculate (1/(-1))/((-3)/(-35)*(-32)/((-8832)/(-230))). 14 What is ((2/4)/(6/4))/(5752/552192)? 32 Evaluate (288/64)/((3/(-92))/((-118)/708)). 23 What is the value of (54/(-8))/(7254/(-4836))? 9/2 (124*(-217)/(-80724))/(38/(-36)) -6/19 What is the value of (3*(-6)/27)/(107/((-54570)/1428))? 5/21 (258*(-54)/(-16254))/(-2*(-2)/(-84)) -18 What is the value of (6*44/36)/((30/18)/(-5))? -22 Evaluate 16/(-272)*(-765)/(-270). -1/6 What is 112/(-462)*154/(-196)? 4/21 Calculate -2*(-5)/6*(1980/9240)/((-2)/28). -5 Evaluate (308/8)/(-11)*(-455)/(-213395). -1/134 What is the value of (-4120)/(-824)*12/40? 3/2 What is the value of ((-2126)/(-15945))/((-3)/(-405))? 18 What is the value of (-18)/75*(-53)/70596*30? 1/185 What is the value of (3/((255/(-1190))/((-8)/(-14))))/(4/50)? -100 Calculate (-12)/(-45)*18/20*86*(-2060)/(-13287). 16/5 What is the value of ((-168775)/129)/157*6/(-4)*1*2? 25 What is the value of (17/((-102)/(-15)))/(((-33)/6)/(-11))? 5 (-43)/11395*-53*((-30)/(-24))/((-21)/6) -1/14 Calculate (12/(-30)*78/(-144)*-10)/((-1)/(-2)). -13/3 ((-47)/((-8883)/(-1176)))/(((-12)/(-27))/(-2)) 28 Evaluate (26/(-507))/((-110)/25740). 12 Evaluate (-259)/((2086/596)/((-1)/2)). 37 Calculate ((-4)/(-3))/(95/(-494)*24/(-10)). 26/9 What is the value of 54/16632*-14*10? -5/11 What is ((-300)/50)/(-18)*18? 6 What is the value of (43074/7179)/(2/(-8)*9)*3/(-58)? 4/29 What is 543/12670*-308*(-25)/3? 110 What is ((-8)/((-6)/3))/(((-41451)/(-337))/(9/(-6)))? -2/41 Calculate -4*(-26)/(-260)*-65. 26 Calculate ((-123)/451)/((-6*1/9)/(10/(-15))). -3/11 Calculate (7920/385)/((-92)/(-161)). 36 What is 1*(-20)/(-50)*2160/(-36)? -24 What is 3505/6309*-2*36? -40 Evaluate ((-14580)/2430)/(11/2*4). -3/11 What is the value of 364/(-3003)*(-242)/660*(-10)/(-3)? 4/27 29/3*(-7*9/(-84))/(3/(-12)) -29 Evaluate 4598/(-1463)*(-5)/((-50)/(-35)). 11 Calculate 3/1*1/(-3)*(66/(-242))/1. 3/11 ((-10)/25)/(((-6)/(-900))/((-13)/(-78)))*-1 10 Evaluate 1608/469*(-4)/912*-19. 2/7 Calculate (84*36/36540)/((-174)/(-145)). 2/29 What is ((464/20)/(13/(260/(-8))))/((-1740)/(-174))? -29/5 Evaluate ((-1)/(54/(-372)))/((-164)/(-1476)). 62 (-9)/6*616/2310*-5*5 10 What is 2384/(-1043)*1225/35? -80 What is the value of ((-10)/(-8)*(-1320)/3300)/(1/(-22))? 11 (((-120)/625)/8)/(1620/600) -2/225 What is 204/12495*1470/84? 2/7 What is the value of 13*4140/(-4784)*144/15? -108 Calculate (65/10*1*-2)/(31/(837/(-9))). 39 Calculate (165/132)/((-390)/(-468)). 3/2 Calculate (3/(-5))/((-101)/((-6790230)/(-486))). 83 Evaluate 117/(-198)*(-33)/143. 3/22 Calculate 152724/9256*(-12)/55. -18/5 What is 22620/260*16/24? 58 Evaluate (-6)/120*42*12/21*2310/84. -33 Calculate 190/(-152)*(-342)/(-1140). -3/8 Calculate (20/11)/5*(-4160)/1664. -10/11 What is 1/(-5)*68/136*-4? 2/5 Calculate (-40)/3744*1580/(-1975). 1/117 What is the value of (2*(-3)/(-216))/(13/(-7371)*-27)? 7/12 Calculate 110/(-132)*(-32)/((-8)/4)*(-720)/384. 25 What is the value of (-120*(-24)/(-1152))/((-1)/(104/(-10)))? -26 248/(-6)*(-214)/(83888/588) 62 3/((-2)/2)*(-407075)/(-12855) -95 Evaluate (8680/9765)/((8/450)/1). 50 Calculate 122369/65891*(-20)/26. -10/7 Evaluate (-25*1/(-40))/(27/(-54)). -5/4 Calculate (108/288)/((-11)/352*-5). 12/5 Evaluate (-814)/(-5291)*4/4. 2/13 What is (2/(-4)*2)/((-159)/(-2915)*(-4)/12)? 55 What is the value of 10560/132*3/(9/3)*27/54? 40 What is ((-22)/12*(-81)/297)/(-10*5/(-3700))? 37 What is the value of ((-400)/(-10))/(5300/8480)? 64 What is (60/(-280))/((-1)/(-40)*-3)*805/(-115)? -20 Evaluate ((8/(-12))/((-8)/(-54)))/(((-115713)/(-3726))/(-559)). 81 Calculate (189520/927)/92*3/8. 5/6 Calculate ((-873)/10670)/(192/80). -3/88 Evaluate ((-14)/364*-13)/(51/(-1428)). -14 Evaluate (-225)/(-360)*14184/(-985). -9 Calculate (-2)/(-6)*(-257)/(2089924/(-456)). 2/107 Evaluate (-142)/(-1136)*-1*8*12/174. -2/29 What is (-252)/(-15)*10/2*(-8)/(-24)? 28 What is (-4)/30*((-1349919)/153)/(-173)? -34/5 What is (7/(-35))/(3/(-10))*1290/4300*10? 2 What is the value of (3564/(-2475))/((-15)/25)*(-30)/(4/2)? -36 Evaluate 2*(384100/20040)/((-10)/(-6)*1). 23 (-8)/(6272/(-21))*30/(-960)*-112 3/32 ((260/13)/((-23)/(897/(-26))))/(6/(-9)) -45 (((-438900)/504)/95)/(15/108) -66 What is the value of (((-270)/8)/9)/(786/(-2096))? 10 What is the value of 12/306*(-195)/39*9? -30/17 What is the value of 411/2466*3/(-4)*15? -15/8 Calculate (((-2)/(-21))/(20/30))/(((-377)/4277)/(-29)). 47 What is 1992/830*(5/(-4))/((-15)/(-30))? -6 2/9*(-4)/((2/3)/(51/51)) -4/3 Evaluate (((-104)/78)/((-128)/48))/(3/318). 53 What is the value of ((-10)/1190*17)/(-2*(-1)/42)? -3 (((-4)/150)/(-1))/(222/2220) 4/15 What is the value of (-176*1/(-60)*-3)/(70/175)? -22 What is (-1)/28*((-1404)/(-81))/(-13)? 1/21 Calculate ((-108)/(-12))/((-18*38/2280)/(4/(-5))). 24 ((14/(-30))/(10/(-25)))/((-29729)/(-191115)) 15/2 Calculate 7/(-12)*(858/(-231))/26. 1/12 What is ((-156)/(-117))/((10/(-20))/(27/2))? -36 Calculate (-192)/102544*13*((-102)/12)/1. 6/29 What is (-75)/(-10)*((-389580)/387)/(-151)? 50 (774/84)/((-15)/(-20))*294/378*-9 -86 What is the value of (130/845)/((-5)/((-65)/4))? 1/2 Calculate 0/((-4)/(-2))*2703/16218. 0 Calculate (4/30)/((2/(-3)*111)/((-1020)/170)). 2/185 Evaluate ((-16)/(-3))/1*34668/200304. 12/13 What is (204/510)/(89/23585)? 106 Calculate -12*-31*(-68)/14229. -16/9 ((-1)/8)/(((-605)/(-1331))/(16*1/(-22))) 1/5 What is ((-1)/(-3))/(((-3591)/63)/4959)? -29 What is (-15*5)/((-131)/((-89080)/(-510)))? 100 What is the value of 607848/7068*(-2)/2? -86 What is the value of ((-9)/(23/(-276)*-54))/52? -1/26 What is (2/1)/(-6)*(-159)/((-347733)/(-972))? 4/27 Evaluate ((651/(-124))/((-12)/2))/(63/54). 3/4 Calculate (-7)/49*(-98)/(-6)*((-256)/84)/(-4). -16/9 What is ((-66)/(-1771))/((-78)/2002*33)? -2/69 Calculate (504/(-56))/((3/5)/(2436/870)). -42 What is (9/12*-2)/(14*39/(-17472))? 48 Evaluate ((36/3)/(((-306)/3)/34))/(-206). 2/103 What is (28/140*(-12)/(-2))/((-42)/(-1400))? 40 Calculate 403/13*(264/132)/(4/(-2)). -31 What is the value of (-14)/(-1)*(7592/1638)/4*9? 146 What is 2/(-108)*-75*(-1360)/(-1700)? 10/9 Evaluate -10*1*226/226. -10 What is the value of ((15/(-60))/((-168)/32))/(165/90)? 2/77 What is 3*(-21)/(-3)*(-4792)/7188? -14 Calculate ((-8)/28)/(((-2)/(56/41))/(237/2844)). 2/123 What is the value of ((1/19)/(-1))/2*127/(10414/(-328))? 2/19 Calculate 32/(-2)*((-60)/(-50))/(648/(-90)). 8/3 What is the value of ((-9)/(-3))/(((-310)/30)/(-31)*-9)? -1 Calculate (2
{ "pile_set_name": "DM Mathematics" }
nder when z is divided by 13. 7 Suppose 3*d - 7*k - 27 = -2*k, -d + 16 = -4*k. Suppose d*c - 146 = 34. Suppose -3*x + x = -j - c, 6 = -2*j. What is the remainder when 62 is divided by x? 20 Let p = -613 - -674. Calculate the remainder when 301 is divided by p. 57 Let s(n) = n**3 + 2*n**2 + n + 78. What is the remainder when s(0) is divided by 12? 6 Let z be 273/(-7)*(-5 - -1). Suppose -p + 42 = -3*s, -5*p + s + z = 4*s. What is the remainder when 18 is divided by 385/p + 2/(-3)? 7 What is the remainder when 83 is divided by 6/(144/1002) + 1/4? 41 Let i = 0 - -1. Let p(h) = -h**2 - 1 + 8*h + 5 + i + 2. Calculate the remainder when p(8) is divided by 5. 2 Let u = 20 + -15. Suppose -n = -2*h - 11, -n = -u*n + 5*h + 32. Let y = -21 + 33. Calculate the remainder when y is divided by n. 0 Let q be (-5)/(120/(-6)) + (-158)/(-8). Suppose -120 = -q*t + 15*t. Calculate the remainder when t is divided by 9. 6 Suppose 5*m = -3*x - 2 + 23, 4*m = -2*x + 16. Suppose 2*p - b + 6*b - 3 = 0, -36 = -m*p + 3*b. Calculate the remainder when ((-2)/4)/(1/(-32)) is divided by p. 7 Let o = 35 - 34. Let m(y) = 24*y**2 + 3*y - 1. What is the remainder when m(o) is divided by 14? 12 Let j(q) = -q - 1. Let x be j(-4). Suppose 107 + 259 = x*d. Calculate the remainder when d is divided by 31. 29 Let a = -82 - -107. Calculate the remainder when a is divided by 3. 1 Let k be (3 - 10/4)*6. Suppose -4*h = k*h - 189. Calculate the remainder when 37 is divided by (52/6)/(18/h). 11 Let o = 71 + -33. Let w(q) = -q**2 + 12*q + 209. Calculate the remainder when o is divided by w(21). 18 Let s(x) = 9*x - 1. What is the remainder when s(12) is divided by 10? 7 Let t = 122 + -86. What is the remainder when 8/36 - (-424)/t is divided by 7? 5 Suppose 8*l - 70 = 170. What is the remainder when l is divided by 21? 9 Suppose -4*y - 10 = -3*y + t, 5*y + t + 34 = 0. What is the remainder when 62 is divided by (-5)/(-1) + (-72)/y? 11 Let y = -1125 + 1695. Calculate the remainder when y is divided by 14. 10 Let c be (-8 - -3)*(-16)/20. Let j = 25 + c. What is the remainder when j is divided by 15? 14 Suppose 3*p = 3*t - 3 + 6, 3*t + p = 17. What is the remainder when 16 is divided by t? 0 Let l(m) = 24*m - 646. Calculate the remainder when l(35) is divided by 99. 95 What is the remainder when (6/(-4))/(-2*(-8)/(-512)) is divided by 2/(-5) + 37/5? 6 Suppose 3*l - 4*w - w - 1150 = 0, -2*l + 3*w + 768 = 0. Calculate the remainder when l is divided by 23. 22 Let l = -1265 - -1287. What is the remainder when l is divided by 3? 1 Let t = 30 + -5. What is the remainder when t is divided by 6? 1 Let u(x) = 17*x**2 - 1. What is the remainder when 82 + (-4)/(12/15) + -5 is divided by u(-1)? 8 Let k = 76 - 26. Suppose -2*r = -0*r - 192. What is the remainder when r is divided by k*(36/8 + -4)? 21 Let w = 6148 + -6127. Let b = 19 - 9. Let t = 21 - b. Calculate the remainder when w is divided by t. 10 Suppose 0 = 8*l - 7*l - 9. Calculate the remainder when 127 is divided by 2/(-6)*-9*96/l. 31 Let p(q) = 4*q**2 - 141*q + 1214. What is the remainder when p(9) is divided by 92? 85 Let u(w) = w**3 + 9*w**2 + w + 13. Let b be u(-9). Suppose 72 = 3*d - 3*c, 8*d - 5*d + b*c = 100. Calculate the remainder when d is divided by 6. 4 Let t(o) = -2*o - 2. Suppose -r + 2 + 0 = 0. Let u be -7 - (-3 + r + -2). Calculate the remainder when 11 is divided by t(u). 5 Suppose 2*l = 313 + 109. What is the remainder when 227 is divided by l? 16 Let c = 12 + -75. Calculate the remainder when (-9)/(c/(-14)) - (-117)/1 is divided by 29. 28 Let y be (-9 - -8)*(-1 + 3). Let k be (3 + y - 0) + -13. Calculate the remainder when (-1)/(-6) + (-430)/k is divided by 13. 10 Suppose -111 = -40*h + 37*h. What is the remainder when 73 is divided by h? 36 Suppose -2*i = -i - 3. Let k = 13 - 7. Suppose 4*t + 4*r = 2*t + 36, 4*r = t + k. What is the remainder when t is divided by i? 1 Let s be 2*(-12)/8 + 7. Suppose 20 = s*z - 4*y, 2*y - 29 = -5*z + 3*y. What is the remainder when 22 is divided by z? 4 Let s = -40 + 40. Suppose s = -15*r + 9*r + 54. Calculate the remainder when 17 is divided by r. 8 Let r = -5390 - -5407. Suppose 0 = y - 4*y - 3*m + 24, -5*m - 4 = y. What is the remainder when r is divided by y? 6 Suppose 3 = 4*h - 3*h + 4*b, 5*h - 5*b = 15. Let v(n) = 1 + 3*n + 3*n - 4 - 2. Calculate the remainder when v(h) is divided by 5. 3 Let i(p) = -p**3 + 5*p**2 + p + 17. Suppose 7 = -3*s + 25. Calculate the remainder when i(5) is divided by s. 4 Let f be (2/12 + 13/(-78))/1. Let t(r) = 4*r**2 - 8. Let n(p) = 3*p**2 - 8. Let w(a) = -5*n(a) + 4*t(a). Calculate the remainder when 30 is divided by w(f). 6 Let x = -5 - -5. Suppose -5*q + 1 + 4 = x. Let t = 8 - 7. What is the remainder when q is divided by t? 0 Let u = 18 + -13. Let q = -3 - u. Let p = 10 + q. What is the remainder when 3 is divided by p? 1 Calculate the remainder when ((-7)/(-2) - 3)*2 + 408 is divided by 41. 40 Let x = -11 + 14. Suppose 5*n + 5*u = 7*n - 33, 3*n - 39 = -x*u. What is the remainder when 40 is divided by n? 12 Suppose 36 = 406*l - 404*l. What is the remainder when 46 is divided by l? 10 Let u(x) = 9*x - 55. Suppose -5*k + 4*h - 2*h + 37 = 0, 5*h = k + 11. Calculate the remainder when u(k) is divided by 14. 12 Let c(p) = -p**2 - 18*p - 36. Suppose -39 = -16*l + 19*l. Calculate the remainder when 95 is divided by c(l). 8 Suppose 0 = -13*l + 17*l - 4468. What is the remainder when l is divided by 112? 109 What is the remainder when 1/((-1)/(-4)) + 32940/270 is divided by 43? 40 Let p(l) = 49*l**3 - 5*l**2 + 2*l + 1. Calculate the remainder when p(2) is divided by 55. 47 Let q(x) = 19*x**3 + x**2 - x - 1. Let y be q(-1). Let l = -10 - y. Calculate the remainder when 22 is divided by l. 6 Let y = 405 - 285. What is the remainder when y is divided by 25? 20 Let y(h) = 14*h**3 - 5*h - 5. Let q be y(-5). Let f be q/(-8) + (-2)/8. Suppose -f = -0*r - 4*r. Calculate the remainder when r is divided by 19. 16 Suppose 0 = -7*w + 277 - 39. Let y = w - 21. Suppose -26 = -5*s - 1. What is the remainder when y is divided by s? 3 Let z = 533 - 438. Let l(k) = 3*k**2 - 2*k - 1. Suppose 3*d + 3 = -5*h, 3*h + 6 = -d + 1. Calculate the remainder when z is divided by l(h). 31 Suppose k = -3*k - 4*m + 20, -m - 31 = -5*k. Let y(w) = 2*w - 9. Let l be y(k). Suppose l*j = 18 + 3. Calculate the remainder when 13 is divided by j. 6 What is the remainder when -3 - (0 + -1516)/4 is divided by 97? 85 What is the remainder when -5*2*(-91)/35 is divided by 4? 2 Let n(d) = d**3 + 4*d**2 + 2*d + 1. Let l be n(-3). Suppose i - g = 19, l*i - g + 0*g = 85. Calculate the remainder when i is divided by 12. 10 Let j = 108 + -95. What is the remainder when 128 is divided by j? 11 Let k(w) = w**3 - 21*w**2 + 3*w - 44. Suppose -o - o + 110 = 0. What is the remainder when o is divided by k(21)? 17 Suppose -2*s + s + 227 = -2*o, 0 = 5*o + s + 571. Suppose -x = -b + 24, 0*x + 25 = 5*x. Calculate the remainder when b is divided by o/22 - -5 - (-600)/33. 11 Suppose 0 = -j - 2*r + 9, -5*j + 87 = -r - 3*r. Suppose h + 2*v + 1 - 7 = 0, h + 29 = 5*v. What is the remainder when j is divided by (h/(-4))/((-2)/(-8))? 3 Let n(o) = -o**3 - 6*o**2 - o + 2. Suppose 165*m = 161*m + 184. What is the remainder when m is divided by n(-6)? 6 Suppose -5*t + 4*s + 37 = -87, -2*t - 4*s = -44. Suppose -2*i - 2*d = -7*d + 5, -6 = -2*d. What is the remainder when t is divided by i? 4 Suppose -z + 13 = -0. Let g = -1 + z. Suppose 10*a + 6*a = 352. What is the remainder when a is divided by g? 10 Calculate the remainder when (-264)/968 - 1213/(-11) is divided by 39. 32 Let n(t) = t**3 - 8*t**2 - 3*t + 18. Calculate the remainder when n(9) is divided by 19. 15 Suppose -3*n = -8 - 1. Suppose -n = -t + 10. What is the remainder when 87 is divided by t? 9 Calculate the remainder when 117 is divided by (38/(-8))/(56/(-448)). 3 Suppose 1008 = h + 8*h. What is the remainder when 83 is divided by h/5 - 2/5? 17 Suppose 7*y = 10*y + 156. Let f = -38 - y. Suppose -p + 125 = 2*p - 4*j, -4*p + 160 = -2*j. What is the remainder when p is divided by f? 11 Suppose 68*v = 54*v + 308. Calculate the remainder when 53 is divided by v. 9 Let t = 2707 + -2688. Calculate the remainder when 98 is divided by t. 3 Let o(j) = j**3 + 20*j**2 - j - 12. Let x(
{ "pile_set_name": "DM Mathematics" }
4*z - 2. Solve n = i - 2*q - 9, 0 = -a*i + 7*i + 5*q + 15 for i. 1 Suppose 0 = -5*t + 4*h + 18, -3*t + 4*h = -8*t + 2. Suppose 10 = t*g + l, -7*l + 11*l + 8 = 4*g. Solve 0 = -2*r + 4*j + 6, -12 = -g*r + 4*j - 9*j for r. 3 Let k = -9082 - -9085. Solve -3*p + 5 = 4*t + k, 10 = -2*t + 4*p for t. -1 Let g = -126 + 174. Let s = -46 + g. Solve 4*i + 0*i + s*u - 6 = 0, 2*i + 12 = -4*u for i. 4 Let c = -3 + 5. Let n(q) = 61*q**2 + 300*q - 20. Let z be n(-5). Solve c*u = s + 1, -z*u + 5 = -u - s for u. 2 Suppose 0 = 21*y + 158 - 200. Let u(f) = 3 - 6 + f + 0*f. Let m be u(3). Solve m*q + y*q = -3*j + 10, -15 = -3*q for j. 0 Suppose -2*g - 13 - 5 = -2*y, 0 = -4*y - 2*g + 6. Suppose -5 = -y*h + 2*v + 51, h - 8 = -v. Solve -3*l + h - 2 = -5*n, 4*n + l + 25 = 0 for n. -5 Let a = 598 - 577. Let v be 2/7 + 3/a*5. Solve h = -2*d - 1, 5*h + 2*d = v - 6 for h. -1 Let z be (-3)/9 + ((-4295)/(-15) - 0). Suppose -27*q + 691 = z. Solve -4*b + q = -t, 3*t = 2*t + 5*b - 19 for t. 1 Suppose -f = 0, 3*l - 5*f = 2*l - 6. Let k be (-3 + 2)*(l + -11). Solve -5*i - k = -2*h + 4*h, 4*h - 6 = -2*i for h. 4 Let j(f) = -153*f - 3161. Let a be j(-21). Solve -48*k + y + 11 = -a*k, -14 = 4*k + 2*y for k. -2 Let v = 25 - 17. Suppose v*h = 4*h + 12. Let j(n) = n**2 - 3*n - 9. Let c be j(5). Solve 0*g + c = -u - g, -5*u + h*g + 35 = 0 for u. 4 Let z(a) = -39*a + 87. Let t be z(5). Let m = t + 111. Solve -m*x = -k + 8, 3*k + 0*k = -2*x + 13 for k. 5 Let o(d) = -d**2 + 2*d + 3. Let n be o(3). Suppose -m + 5 = -n*m. Suppose 39*s - 35 = 4*s. Solve m*g - 4*y + s = 0, 0*g + 4 = g - 5*y for g. -1 Let a(o) = 30 + 3*o**2 - 22*o + 17 + 37*o + 85*o - 2. Let v be a(-33). Solve 4*d - 5*m = -37, -5*d - 5*m + v = 2 for d. -3 Let k be 260/(-13) + (-308)/(-11). Suppose -4*n + 2*b + 3*b = 11, -4*n + 1 = -b. Solve 2*a + k - n = -h, 5*a = -2*h - 15 for a. -1 Let f(n) = 119*n - 3327. Let u be f(28). Solve -2 = 2*g + 4*v, -3*g + u*v - 6 = -3 for g. -1 Suppose 0*a - 10 = -5*a. Suppose -6*d - 2*d = -40. Suppose 4*q - 3*t = -0*t + 17, -q + t + d = 0. Solve 0 = -2*x + 6, 0 = a*j - 2*x - 2 - q for j. 5 Let j = -142 - -167. Suppose 31*c - 24 = j*c. Solve c = -4*y + 4*z, 5*z - 4 = 4*y + 2 for y. 1 Let j = 36485 - 36478. Solve -12*r = -j*r - t, -2*r = 3*t + 17 for r. -1 Suppose 0 = -10*c - 2*c. Suppose c*u = 3*u - 15. Suppose -n + u = p, 0*p + 4*p - 15 = -3*n. Solve 25 = 2*z + 3*z, d - 2*z = -n for d. 5 Let b(h) = -13*h**2 - 35*h + 18. Let i be b(-3). Solve -g + 8*c = 13*c + 18, -5*g - i = -3*c for g. -3 Suppose 4*u = -5*x + 85, -116*u - 2*x + 82 = -112*u. Solve -5*s = 4*c + 16, 19*c - u = 24*c + 2*s for c. -4 Let i(r) = 4*r - 12. Let d be i(11). Suppose -40*p = -36*p - d. Solve -2*f - 2*m = -p, -2*m + 14 = f + 3*f for f. 3 Let a(d) = d**2 + 3*d - 1. Let y be a(-4). Suppose 3*i + 1 = -39*l + 44*l, 0 = -i - 4*l + 28. Solve -3*j - y*b = -i*b - 10, -4*j = 5*b + 10 for j. 0 Let y(r) = 2*r**2 + 62*r + 2. Let c be y(-31). Solve c = 2*i - 2*j, 0 = 5*i - j - 2*j + 1 for i. -2 Let w(m) = 377*m - 2983. Let k be w(8). Let f = -9 + 4. Let z be ((-4)/f - 2)/(k/(-220)). Solve 5*v + 11 = -4*n, v - 3*n = 2*n - z for v. -3 Let k = 3869 + -3865. Solve -4*c - 4 = 3*v, -3*c + 3*v - 3 = k*v for c. -1 Let n(t) = t**2 + 4*t + 7. Let u be n(-3). Suppose u*p = 38 - 6. Suppose -p + 134 = 7*j. Solve h - o = -2*h - j, 4*h + 23 = o for h. -5 Suppose 30 = -1526*g + 1536*g. Solve -5*m + 4*p = -2, g*m + 10*p = 6*p - 18 for m. -2 Suppose -5*j + 125 = 4*c + 539, 5*j - 91 = c. Let b = -98 - c. Solve -b*f = 4*u - 2*u + 25, 0 = -4*f + 4*u for f. -5 Suppose 7950 = -1246*s + 342*s + 33262. Solve 5*z - s = 3*q, -7*z + 4*q = -10*z + 11 for z. 5 Suppose 0 = -5*t - 0*t - 25, 5*t = -2*j - 21. Solve 13 = -j*c - 5*i, 60*c + i + 1 = 58*c for c. 1 Suppose 0 = 15*m - 23*m + 152. Let g = 218 - 216. Solve g*u = 2*y - u + m, 0 = 5*u - 15 for y. -5 Suppose 28 = 3*t - 4*w, -605*t + 609*t - 72 = w. Solve -4*g = t, 3*g = 251*m - 255*m - 35 for m. -5 Let r be (6 + 4268/(-8))*6/(-15). Let n = -179 + r. Solve 5*k - 5*q - 8 = n, -5*k = -2*q - 25 for k. 3 Suppose 143*y + 140 = 4*s + 138*y, 0 = 2*s - 5*y - 60. Solve -3*x - 23 + 5 = m, -5*m - 5*x = s for m. -3 Let b = 79 + 25. Let c = b + -89. Solve 9 = -2*f - 0*f + s, -5*s = 5*f + c for f. -4 Let t be 2 - (-795)/66 - 19/418. Solve t*i = 13*i + 1, -2*b = -i + 11 for b. -5 Let r be (24 + (-1881)/77)/((-6)/28). Solve 39*u = 43*u - t + 13, 3*u + r*t + 7 = 0 for u. -3 Let p be 116 - 0 - (-1 + -51 + 51). Solve 0 = t - k + 4, -118*k + p*k = t for t. -2 Let y(h) = h - 26. Let c be y(16). Let s be c/(-16)*-2*-4. Solve -5*v = 5 + s, -2 = 5*n + v for n. 0 Let f(z) be the third derivative of -4*z**2 + 0*z + 1/2*z**3 + 0 + 1/12*z**5 - 1/6*z**4. Let v be f(1). Solve -3*b - 2*b + 4*t = -45, -4*b + v*t = -40 for b. 5 Suppose -123*g + 553 = 28*g + 100. Solve -g*x = 5*o + 7, 4*x + 10*o - 10 = 13*o for x. 1 Let c be 3/(-5 + 2) + (-42)/3. Let n(j) = j**3 + 15*j**2 - j - 12. Let o be n(c). Solve a = -o*k + 14, 3*a + k - 30 = -12 for a. 5 Let m = -14997 - -15000. Solve 8*w - 7*w + 24 = 5*y, -m*w - y - 8 = 0 for w. -4 Let c(s) be the third derivative of 0 + 1/10*s**5 - 1/120*s**6 + 0*s**4 - 14*s**2 + 0*s + 2/3*s**3. Let y be c(6). Solve -r = 3*h - 3, -2*r + 2 = 3*h - y for r. 3 Let m = 14 + -10. Suppose -4*r + 2 = -2*b, -3*r + m = -2. Suppose 3*s + 3*f - 6 = 0, 7*s - b*f = 4*s + 18. Solve 0 = -5*t - u + 11, -4*u + 3*u - s = 0 for t. 3 Suppose -5*d + 2*y + 29 = 0, 5*d - 3*y - 90 = -54. Let j(f) = f + 4. Let x be j(-3). Solve -5*i + 14 = -b, 2*b = -3*i + x - d for b. -4 Suppose -5*d = g - 16 - 13, -5*g + 3*d = -5. Solve 3*u - r - 2 = -6*r, -2*u + 16 = -g*r for u. 4 Let w(a) = -2*a**3 - 9*a**2 - 16*a - 29. Let j be w(-4). Let p = j + -17. Solve -2*t + 4*v - 6 = -0*v, -p*v + 6 = 2*t for t. 1 Suppose 0 = r + 5*r + 360. Let w = r - -134. Suppose -j - w = -3*f + 2, 0 = j - 5. Solve p - 5*i = f, 18 = p - 3*i + 1 for p. 2 Suppose 20 = 5*z + 5*h - 4*h, h = -11*z + 50. Solve -5*y - 3*s - 29 = 0, -2*y + y = z*s + 19 for y. -4 Let s be -1 + (5/((-15)/(-21)) - (6 - 5)). Solve 2*n - 10 = 0, -8*p + 9*p - s*n + 25 = 0 for p. 0 Suppose 8*q - 560 = 136. Let g = -79 + q. Solve w - d = 3, 2*d + g = -w + 4*w for w. 2 Let w = 5391 + -5386. Solve -c + w = -4*y, 0 = 3*c + 8*y - 9*y - 4 for c. 1 Let m(n) = 11*n - 44. Let f be m(4). Let h be (68/18 - f) + 6/27. Solve -5*p - l = -13, 2*l = -0*p - h*p + 8 for p. 3 Suppose 0*k + 5*k = -3*z + 21, -3*z - 4*k = -18. Suppose 7*b - z = 5. Suppose q + 20 = -5*l, -3*l - 2 = 2*q + 10. Solve -y = -o - q + b, -o = 5*y - 19 for o. 4 Suppose 2*i + 2*b = 6*b - 10, -5*i + 5*b = 40. Suppose -3*h + 6*h = 48. Let n = i + h. Solve -4*j = -n*r + 2*r - 13, 0 = -2*j - 5*r - 13 for j. 1 Suppose -5*v - 3*o + 24 = -8*v, -5*v + 2*o - 52 = 0. Let n be (v/5)/(40/(-50)). Solve 3*k + 4 = n*s + 7, 4*k - 6 = 5*s for k. -1 Let p(n) = -4*n**2 + 27. Let q be p(-5). Let x = 84 + q. Let y(t) = -t**3 + 11*t**2 - t + 18. Let o be y(x). Solve -4*b - o = b + u, -4 = -b - 2*u for b. -2 Suppose 2300*y = 2315*y. Solve -5*b = y, -12*z + 10*z - 2*b = -8 for z. 4 Suppose 4*t - 20 = 0, 3*v + v - 35 = -3*t. Let z(g) = g**3 - 4*g**2 - 2*g - 11. Let x be z(v). Solve m + 1 = -b, 5*b - 18 = x*m - 5 for b. 1 Let i = 176 + -59. Suppose -6*b - i = 63. Let c be (-95)/b - 1/6. Solve 0 = t - c*p - 12 + 32, 0 = -5*t - 2*p - 15 for t. -5 Let n(c) = 10*c - 2. Let l be n(-4). Let m = l + 48. Let t(z) = z**3 - 6*z**2 + 2. Let u be t(m). Solve -8 = 2*w, f + 5 - 1 = -u*w for f. 4 Let o be (-9 + (12 - 8))/(2/(-10)). Solve 0 = -2*j - 3*b + o, 2*j + 5 = 3*b - 0 for j. 5 Let l be 4/8 - ((-142)/4 + 4). Suppose -l + 34 = f. Solve 4*k - 2*q - 24 = 0, -3*k - 5*q + 15 = f*k for k. 5 Let u = -9838 + 9860. Solve 4*k - x = u - 19, 9 = -k - 3*x for k. 0 Let c = -3520 - -3540. Solve 4*a - c = -5*p, -6*a + 10 = -p - 4*a for p. 0 Let d(l) = 3*l + 5. Let s be d(1). Suppose -11*z = -s*z - 15. Let p be (-2)/3 - 11/(-3). Solve z*k = -2*r - 21, r + 0 - p = 2*k for k. -3 Let v(i) = 31*i**2 - 32*i - 65. Let z be v(-2). Suppose 0 = -z*l + 114*l. Solve -3*y + 19 = -4*k - l*y, 0 = -3*k + 5*y - 28 for k. -1 Let o(t) = -3*t**3 + 13*t**2 + 8*t - 46. Let r be o(4). Solve 4*j + 5*z - 12 = 0, -r*j - 34 = -5*z - 10 for j. -2 Let s(l) be the third derivative of l**6/120 + l**5/20 - l**4/12 - 2*l**3/3 - 64*l**2 - 2*l
{ "pile_set_name": "DM Mathematics" }
+ i, -5*c + 5*v + 15 = 0. Solve c*b + 3*b = 10 for b. 2 Let h = -73 - -51. Let o = h + 25. Solve v = -1 + o for v. 2 Suppose 4*j = -35 + 39. Let m be 2 + 1 - (0 - -1). Solve m*i = i - j for i. -1 Suppose -5*c + 5*o = -0*o - 20, -21 = -4*c - o. Let u(n) = -n + 5. Let k be u(c). Solve y + k*y = 1 for y. 1 Suppose 0 = 4*m - 12, -4*p + 5*m - 48 + 5 = 0. Let v = -2 - p. Solve 2*u - v*u = 0 for u. 0 Let n be (-15)/5 + 4 + 1. Solve -5 = -n*y + 1 for y. 3 Let k = -65 - -97. Suppose 3*a - 11 = -3*u + 10, -5*a - 2*u = -k. Solve -5*t = -a*t + 2 for t. 2 Let s(p) = -p**3 + 2*p**2 + 2*p + 1. Let k be (2 + 0 - 1) + -2. Let q be s(k). Let r(n) = -n**2 - 7*n + 5. Let z be r(-5). Solve -q*u - z = u for u. -5 Let c(s) = 2*s - 27. Let k be c(17). Solve 3*r + k - 1 = 0 for r. -2 Let x be (6/4)/(4/48). Suppose -1 = 3*b + 5*m - x, -2 = -2*m. Solve -f + 5 = b*f for f. 1 Let r = -12 + 21. Solve 2*z + r = -z for z. -3 Suppose 0*o - o + 7 = 3*j, -4*j = 5*o + 9. Solve 0 = -j*f - 0*f for f. 0 Let w(r) = r + 28. Let n be w(0). Let y = -20 + n. Solve y*p - 20 = 3*p for p. 4 Let n(y) = y**2 + 9*y. Let x be n(-9). Suppose x = 2*d - d. Let s be (-2)/(-4)*d + 5. Solve -5*o + s = -15 for o. 4 Suppose 4 = -w + 5*t - 13, 3*t + 3 = 5*w. Let a = 5 - w. Suppose 2*d - 13 = r, -d + a*r + 14 = -0*d. Solve 0 = -d*o - 4 + 16 for o. 3 Let c(v) = v**2 - 5*v. Let y be c(6). Suppose -2*u + y = -0*u. Solve 5*f + u = 2*f for f. -1 Let k = -47 - -49. Solve 4*n = k*n - 8 for n. -4 Suppose 5*y = -4*s + 18, 4*y = 5*s - y. Solve 3*r - s*r - 4 = 0 for r. 4 Let b = 7 + -11. Let w be (-1)/b + (-3)/(-4). Let o be w*(-4)/(-2) + -1. Solve a + 0*a - o = 0 for a. 1 Suppose -l + 6 = 1. Suppose l*i + z + z - 23 = 0, -2*i + z = -2. Solve -x - 2 + i = 0 for x. 1 Let p = -32 - -23. Let c be (-3 - -16)/(1/(-1)). Let m = p - c. Solve -m = -n + 3*n for n. -2 Let u(x) = 3*x + 3. Let d(j) = -2*j - 3. Let o(i) = 6*d(i) + 5*u(i). Let q = 4 - 2. Let a be o(q). Solve a*y = -0*y + 3 for y. 1 Let m = -18 - -24. Solve 0 = -3*h + h - m for h. -3 Suppose 9 = 3*i - x, 0 = -4*i - 5*x - 3 - 4. Suppose -6*c + c = 0. Suppose 0 = 14*m - 18*m + 32. Solve -i*z = -c*z - m for z. 4 Let t(i) = -i**3 + 2*i - 1. Let l be t(2). Let y be 1 + (-5)/(l/2). Suppose c + 0*o = -o + 1, 17 = 2*c - y*o. Solve 4 = -2*n - c for n. -4 Suppose 2*d - d = 4. Solve 2 = d*u - 2 for u. 1 Suppose 3*u - 4*o - 38 = 0, 3*o - 4*o + 1 = u. Suppose 4*p = 133 + 111. Suppose -5*a + p + 14 = 0. Solve -r + u*r = a for r. 3 Let b = -40 - -43. Solve w = -4 + b for w. -1 Let z(f) = -f + 9. Let y be (1/(-2))/(2/(-24)). Let t be z(y). Solve 0 = -t*c - 3 - 12 for c. -5 Let j(a) = -a - 3. Let k be j(-8). Solve k = 5*r - 10 for r. 3 Let n(l) = -l**3 + l**2 + 4*l + 3. Let i be n(-2). Solve i = 4*f + 15 for f. -2 Let j be (-2)/8 - 21/(-4). Solve 5*f = -0 - j for f. -1 Suppose 5*p + 24 = w, w - 4*w + 3*p = -24. Solve -i = -w*i for i. 0 Let o = 0 + 2. Let y(v) = v**2 + v - 2. Let p be y(o). Suppose -33*u - 8 = -35*u. Solve u*x = 6*x + p for x. -2 Let o = -46 - -16. Let x be 3/((-69)/o - 2). Suppose -3*t = 9 - 18. Solve v - x = t*v for v. -5 Let w be 5 - -3*(-1 + 2). Solve -7*m - w = -3*m for m. -2 Let k be 3/(-1)*24/(-9). Let i = k - 5. Suppose -r = -i + 1. Solve -2 = -m + r for m. 4 Let p be 4/2 + -3 - -1. Suppose p = l - 2*l. Let v = 0 - 0. Solve v*t + 3*t = l for t. 0 Let b(f) = -f - 2. Let h be b(-7). Suppose 29 = -h*q + 4. Let v = q - -8. Solve v*u + 10 = u for u. -5 Let x = 3 + -4. Let l be (3 + x)/(7 + -6). Solve 0 = z - 3 - l for z. 5 Suppose -2*p = p - 3. Suppose 4*w + 17 = -5*m, 0 = 4*w + 2*m + 1 + p. Solve -w*g = -0*g for g. 0 Let r(x) = -x + 10. Let m be r(7). Suppose -3 = j - 7, -m*d = -3*j. Let l = 457 + -456. Solve -d = -5*b + l for b. 1 Let o(i) = -3*i**2 - 5*i - 4. Let w be 0 - (-4 - -2) - 4. Let q(t) = 4*t**2 + 6*t + 5. Let k(x) = w*q(x) - 3*o(x). Let p be k(-3). Solve p*z + z - 3 = 0 for z. 1 Let g be 66/21 + (-3)/21. Suppose s = 3*n - 15, -2*n + 3*s - 3 = -2*s. Solve -n = 6*z - g*z for z. -2 Suppose 0 = 3*w - 5*l + 25, -w + l - 5 = -4*w. Let q be w*(-1 + 2 + -2). Solve 0 = -5*d - 5 - q for d. -1 Let y be 2/2*5 + -1. Suppose 2*d = -y, 3*k - 2*d - 2 + 10 = 0. Let c = k - -4. Solve c*f = 3*f for f. 0 Suppose x - 2 = -a - 1, -x - 2 = 0. Let m(c) = -c**2 + 5*c + 2. Let u be m(4). Let r = u - 4. Solve -y = r*y - a for y. 1 Suppose 8*g - 64 = 4*g. Suppose -12 = -5*c - 3*i, -3*i - i + g = -3*c. Solve 2 = -c*k + 2*k for k. 1 Suppose -2*n + 8 = -3*x, 0*n + 3*n + 2*x = 12. Solve m = n*m - 6 for m. 2 Let x be 1/4 + 2/(-8). Let g = 0 - x. Suppose g*i + i = 1. Solve -i = -y + 2 for y. 3 Suppose -2*t = 3*u - 0*u - 2, 0 = 3*u + 6. Solve -5*m - 5 = -t*m for m. -5 Suppose h = 6 - 5. Let x = -1 + h. Solve 0 = -x*k + 2*k for k. 0 Suppose 0 = 8*q - 4*q. Let l = 0 + q. Solve l = -m + 5*m + 12 for m. -3 Let a(p) = -p**2 + p + 3. Let y be a(0). Let r = 1 + -1. Solve r = y*b - 4*b for b. 0 Let o(r) = 6*r - 3. Let d be o(2). Solve 2*f - 3 = -d for f. -3 Suppose 50 = 6*g + 4*g. Solve 0 = 4*q + q + g for q. -1 Let o = 20 - 18. Let h be 2/(16/60)*o. Solve 0 = -9*k + 4*k + h for k. 3 Suppose -6 = 4*v - 2*l + 4*l, -4*l - 12 = 3*v. Suppose v = -7*r + 4*r. Solve w + 3 = -r*w for w. -3 Suppose u + 12 = 5*g, 4*g + 5*u + 4 - 2 = 0. Let p(z) = 2*z**2 + 4*z - 2. Let i be p(3). Suppose 0 = c + 3*c - 16, -5*c + i = 4*t. Solve g*x - x = t for x. 2 Suppose -2*d + 9 = -11. Let f = -8 + d. Solve f*m + 3 = 1 for m. -1 Suppose -a - 24 = -5*a - 4*v, 18 = 2*a + 5*v. Let j be 21/(-6)*a/(-7). Let r be j/8 - (-38)/8. Solve -7 - r = -4*n for n. 3 Let q(r) = -5*r - 1. Suppose 2 + 3 = -5*y. Let o be q(y). Solve -o*z = z + 15 for z. -3 Let f(m) = -9*m**2 - 9*m - 3. Let v(a) = 14*a**2 + 13*a + 4. Let d(z) = 7*f(z) + 5*v(z). Let t be d(1). Solve 0 = t*u - 3*u - 25 for u. 5 Suppose 73 + 23 = 12*n. Solve u - 3*u = n for u. -4 Suppose 33 = -2*w + 4*s + 7, -5*w - 3*s - 13 = 0. Let y = w - -10. Suppose 16 = y*v + 1. Solve -6 = -g + v*g for g. -3 Suppose -2 = f - 2*t, -2*t + 10 = 2*f + t. Solve f*i + 3*i = -5 for i. -1 Let j(m) = -m - 7. Let n be j(-9). Suppose 0 = -4*x + 3*i + 8, -2*x + 3*i = -0*i + n. Solve -3*y = -10 - x for y. 5 Suppose -10*p + 240 = 5*p. Solve -4 = -4*a - p for a. -3 Let f(u) = 2*u**2 + 4*u. Let s be f(-3). Let d be -6 + 3 + 0 + s. Solve -d*l + 20 = -7*l for l. -5 Suppose -3*m + 8*m = 35. Suppose -3 + m = 2*g. Solve -5*v - g = 8 for v. -2 Let o be (-118)/4 + 2/(-4). Let i be (-4)/14 - o/7. Let w(z) = 12*z + 1. Let x be w(2). Solve 0 = -i*n - n + x for n. 5 Suppose 0 = -4*g - 2*m - 8, -4*g - m - 6 = -2. Solve -2*v - 2 + 4 = g for v. 1 Let d = -3 + 9. Suppose -d*t + 5*t + 5 = 0. Suppose -t*l = -7*l. Solve s + l = 3 for s. 3 Let f be (-18)/(-63) + ((-26)/(-7) - 1). Solve k = f*k for k. 0 Suppose 5*b = 0, 5*b + 3 = 4*j - j. Let m be 28/(j + 1) - -1. Suppose 6*d = 2*d + 8. Solve d*i + m = -i for i. -5 Let q be (-6)/(-1) + (-3 - -1). Solve 0 = -q*b - 0 - 4 for b. -1 Suppose -5*n + 14 = 2*s, 2*n + 2*n - 5*s + 2 = 0. Suppose 0 = -n*g - g. Let w = 11 + -7. Solve -w*z + 18 + 2 = g for z. 5 Suppose 3*p - 3 = 3. Suppose -5*n = -3*b - p*n + 15, 5*b = -3*n - 7. Solve 0 = 2*t - b - 5 for t. 3 Let j(u) = -11*u - 19. Let d(b) = -4*b - 6. Let f(i) = -17*d(i) + 6*j(i). Let z be f(8). Solve -5*v = -3*v - z for v. 2 Let h(u) = -u**3 + 5*u**2 - 3*u - 2. Let r be h(4). Let c be ((-15)/6)/((-1)/r). Suppose -5*w + 4*n = 3*n - 13, -3*w = -2*n - c. Solve -w*g - g = 20 for g. -5 Suppose f = 6*f - s - 5, 0 = 3*f + 5*s - 31. Let h(m) be the first derivative of 3*m**2 + 2*m + 2. Let c be h(3). Solve -f*o + 6*o - c = 0 for o. 5 Let n(k) = -k**3 - 2*k**2 - 4*k - 2. Let b be n(-2). Solve b*t - 12 = 2*t for t. 3 Let s(p) = -6*p - 15. Let n be s(-3). Solve 2*h - n = -h for h. 1 Let l(q) = q**3 + 5*q**2 - 2*q - 8. Let r be l(-5). Let b(w) = -4*w - w - 1 - w**2 + w. Let a be b(-3). Solve r*v + 2 = -a for v. -2 Suppose -2*w = 2*m - 66, 56 = -4*w - m + 185. Suppose 4*s = 44 + w. Let p = -11 + s. Solve -3*n + p = -n for n. 4 Suppose z - 2 = q - 5, 5 = q - 3*z. Let j be (5/(-10))/(q/(-60)). Solve -4*v - v + j = 0 for v. 3 Suppose 0*u = -2*u + 6. Let c be (-20)/16*(2 - -2). Let f = -5 - c. Solve u = -g - f for g. -3 Let r = -2 + 3. Solve 3*a - r = 2*a for a. 1 Let t(k) be the second derivative of 2*k**2 + 1/3*k**4 + 2*k + 5/6*k**3 - 1/2
{ "pile_set_name": "DM Mathematics" }
-20937 + 20937 - 181*s**2. -181*s**2 Collect the terms in -m**3 + 28*m + 10*m - 26*m + 9*m. -m**3 + 21*m Collect the terms in 19275*x**2 - 19276*x**2 - 674*x**3 + 669*x**3. -5*x**3 - x**2 Collect the terms in -462*j + 465*j + 425 - 144. 3*j + 281 Collect the terms in 10265*v - 10265*v + 42*v**3. 42*v**3 Collect the terms in 1131540373 + 22*x - 1131540373. 22*x Collect the terms in -252*t**2 - 377*t**2 - 257*t**2 + 884*t**2. -2*t**2 Collect the terms in -103*l + l**2 - 164*l - 102*l + 369*l. l**2 Collect the terms in 127*b**2 + 50*b**2 - 234*b**2 + 54*b**2. -3*b**2 Collect the terms in -6341*f**3 + 3085*f**3 + 3132*f**3. -124*f**3 Collect the terms in -79*d + 47*d + 38*d. 6*d Collect the terms in -6*m**2 - 5*m**2 - 14 + 5*m**2 + m**2 + 169*m. -5*m**2 + 169*m - 14 Collect the terms in 2*w - 3*w + 33*w**2 - 18*w**2 - 12*w**2 + w. 3*w**2 Collect the terms in 8*y - 49*y + 9*y + 14*y + 22*y + 10*y. 14*y Collect the terms in 18592*v + 9861*v - 7983*v. 20470*v Collect the terms in 8009*d**2 + 7969*d**2 - 15979*d**2. -d**2 Collect the terms in 5*g - 12*g**3 - 812 + 14*g**3 - 5*g. 2*g**3 - 812 Collect the terms in 55*k**2 + 60*k**2 - 3*k**3 + 19*k**2 - 134*k**2. -3*k**3 Collect the terms in 225*n + 11 - 6 - 4 - 176*n. 49*n + 1 Collect the terms in 0 - 36190*t - 3 + 3 + 36200*t - t**2. -t**2 + 10*t Collect the terms in -3*t**3 - 7*t + 433*t**2 - 433*t**2. -3*t**3 - 7*t Collect the terms in -7674071*h + 7674071*h - 12*h**3. -12*h**3 Collect the terms in 12888 + 2*r + 0*r + 2*r - 5*r. -r + 12888 Collect the terms in 18*w**3 + 10*w**3 - 67*w**3 + 67*w**3. 28*w**3 Collect the terms in 921*m + 397*m + 3526*m. 4844*m Collect the terms in -6*p + 9*p**3 + 10*p - 14*p**3. -5*p**3 + 4*p Collect the terms in 41*f + 90061 - 90061. 41*f Collect the terms in 0 + 1 + 710*h - 702*h - 1. 8*h Collect the terms in 745*v**2 - 637*v - 250 + 250 + 637*v. 745*v**2 Collect the terms in -107*r**3 - 107*r**3 - 111*r**3 + 328*r**3. 3*r**3 Collect the terms in -22 + 1829*k + 24 - 210*k. 1619*k + 2 Collect the terms in 3*t**2 + 615*t - 257*t - 358*t + 2. 3*t**2 + 2 Collect the terms in 39*q**2 + 114*q**2 + 34*q**2 + 40*q**2 + 39*q**2 - 283*q**2. -17*q**2 Collect the terms in 94*h - 33*h + 7*h**2 - 61*h. 7*h**2 Collect the terms in 108*l**2 + 38 - 127*l**2 + 35 - 73. -19*l**2 Collect the terms in -465*z + 883*z - 425*z. -7*z Collect the terms in -339*i**3 + 19*i + 18*i - 60*i + 23*i. -339*i**3 Collect the terms in -3*y**2 + y**2 - 132*y**3 - 18*y - 6*y + 24*y. -132*y**3 - 2*y**2 Collect the terms in -24*z - 12*z - 14*z - 54*z. -104*z Collect the terms in -220*x**3 + 441*x**2 - 441*x**2. -220*x**3 Collect the terms in -92*n - 100*n + 291*n - 92*n. 7*n Collect the terms in -21*b**3 - 51*b**3 + 19*b**3. -53*b**3 Collect the terms in -3*a**3 + 1910 - 1910 + 30*a**2. -3*a**3 + 30*a**2 Collect the terms in -228*f**3 + f**2 + 3*f**2 + 0*f**2 - 274*f**3. -502*f**3 + 4*f**2 Collect the terms in 5514*v + 19849*v + 5435*v. 30798*v Collect the terms in -336*q**2 - 341*q**2 - 346*q**2 - 339*q**2 + 1708*q**2 - 341*q**2. 5*q**2 Collect the terms in -1116*w + 3*w**2 - 20*w**3 - 3*w**2 + 1116*w. -20*w**3 Collect the terms in 8931*a**3 - 17863*a**3 + 8868*a**3. -64*a**3 Collect the terms in -3*v**3 + 22063 + 5*v**2 - 5*v**2 - 10826 - 11237. -3*v**3 Collect the terms in -2*d + 2*d + 51 - 43 + 3*d. 3*d + 8 Collect the terms in -23*w**2 - 37*w**2 - 15*w**2 - 22*w**2 + 86*w**2. -11*w**2 Collect the terms in 9*j**2 + 1154 + 15*j**2 - 2328 + 1174. 24*j**2 Collect the terms in -28*s**2 + 182*s**2 - 38*s**2 - 55*s**2 - 22*s**2. 39*s**2 Collect the terms in 13*q**3 - 83212 + 41596 + 48*q**3 + 41614. 61*q**3 - 2 Collect the terms in 42*q + 45*q + q - 2 - 18*q. 70*q - 2 Collect the terms in -9*a**2 + 9*a**2 + 129*a + 18*a**2. 18*a**2 + 129*a Collect the terms in -2837*c**2 + 1433*c**2 + 1368*c**2. -36*c**2 Collect the terms in 57*j**2 + 0 - 297*j + 6 + 297*j. 57*j**2 + 6 Collect the terms in 12*c**3 - 1864 + 1864. 12*c**3 Collect the terms in 285*w + 303*w + 297*w + 297*w - 1154*w. 28*w Collect the terms in -155*h**3 - 4*h**2 + 105*h**3 + 97*h**3. 47*h**3 - 4*h**2 Collect the terms in -122*o + 451*o - 1677*o. -1348*o Collect the terms in 5*g**2 - 33*g + 63*g + 78*g - 108*g. 5*g**2 Collect the terms in 1202*b**2 - 2336*b**2 + 1135*b**2. b**2 Collect the terms in -20*p**3 - 288*p**3 + 0*p + 12 - 10 - 3*p. -308*p**3 - 3*p + 2 Collect the terms in -1 + 14152*o**3 - 14063*o**3 + 1. 89*o**3 Collect the terms in 5 + 3492*d - 6 + 7955*d. 11447*d - 1 Collect the terms in 18*g**3 + 1085 - 1052 - 33. 18*g**3 Collect the terms in -270 - 26*y + 7*y + 532 - 264. -19*y - 2 Collect the terms in 354 - 12*c**2 + 19*c**2 - 354. 7*c**2 Collect the terms in -5 - 29*s + 2 - 4 + 7. -29*s Collect the terms in -40829*h**2 + 3 - 3. -40829*h**2 Collect the terms in -4337*y**2 + 4977*y - 4977*y. -4337*y**2 Collect the terms in 9737105*j - 9737105*j + 22*j**2. 22*j**2 Collect the terms in -1588*x + 722*x + 772*x. -94*x Collect the terms in -4*j**3 + 2*j**3 - 3*j**3 - 5*j**3 - 11*j**3. -21*j**3 Collect the terms in 3*i - 3*i - 6*i**2 + 227*i**2. 221*i**2 Collect the terms in 1 - 7*p - 4*p - 5*p + 1. -16*p + 2 Collect the terms in 3193*f**2 - 2 + 2 - 3190*f**2 + 252*f. 3*f**2 + 252*f Collect the terms in -1974*w + 7903*w - 1964*w - 1980*w - 1967*w. 18*w Collect the terms in -3 + 2980528*f**3 + 1 - 2980562*f**3 + 2. -34*f**3 Collect the terms in -22 - 4562*w + 22 + 4254*w. -308*w Collect the terms in -1534*p**2 - 851*p**2 + 237*p**2 - 147*p**2. -2295*p**2 Collect the terms in 5792*j**2 + 5502*j**2 - 11289*j**2. 5*j**2 Collect the terms in 5495022*r - 10990053*r + 5495030*r. -r Collect the terms in -192*p + 101*p + 23*p - 296*p. -364*p Collect the terms in 438*m**2 + 3 - 16 + 13. 438*m**2 Collect the terms in 15426579 - 15426579 - 8*s**3. -8*s**3 Collect the terms in 739251*g**2 - 739395*g**2 - 5*g + 5*g. -144*g**2 Collect the terms in -278*c**2 + 13*c + 129*c**2 + 135*c**2. -14*c**2 + 13*c Collect the terms in 290*i**2 - 1251*i**2 - 1703*i**2. -2664*i**2 Collect the terms in -28*y**3 + 22*y**3 - 58*y + 58*y. -6*y**3 Collect the terms in -13*i - 39*i + 31 + 30 - 59. -52*i + 2 Collect the terms in 33*n**2 + 0*n**2 - 9*n**2 - 10*n**2 - 7*n**2. 7*n**2 Collect the terms in 1636*q**3 + 1594*q**3 - 3226*q**3. 4*q**3 Collect the terms in 7319*r**3 - 45*r**2 + 45*r**2. 7319*r**3 Collect the terms in -139065280 - 7*p**2 + 139065280. -7*p**2 Collect the terms in 13983*t**2 - 294*t**3 - 13983*t**2 + 297*t**3. 3*t**3 Collect the terms in -847*n**3 + 247*n - 247*n. -847*n**3 Collect the terms in -37*s**2 + 563 + 559 + 541 - 1663. -37*s**2 Collect the terms in -120*f + 30*f + 32*f + 21*f**2 + 35*f + 29*f. 21*f**2 + 6*f Collect the terms in 13*m + 3386875 - 3386875. 13*m Collect the terms in -346279*z - 3*z**2 - 346281*z + z**2 + 692560*z. -2*z**2 Collect the terms in 3*u**3 + 7*u**3 + 57*u**3 + 5*u**3. 72*u**3 Collect the terms in 6116*u - 3025*u - 3047*u. 44*u Collect the terms in -27555*b + 14418*b + 13136*b. -b Collect the terms in -8*b**2 - 166*b**2 + 8*b**2 - 10*b**2. -176*b**2 Collect the terms in -175742*d + 2059*d**3 + 175742*d. 2059*d**3 Collect the terms in -1624336 + 17*t**2 + 1624336. 17*t**2 Collect the terms in -658 + 660 - 6*r**3 + r**3 + r**3. -4*r**3 + 2 Collect the terms in 146*w**2 - 148*w**2 - 109*w + 109*w. -2*w**2 Collect the terms in -110 + p**2 + 65 + p**2 + 45. 2*p**2 Collect the terms in 46443 - 15*z**2 + 2*z**2 + 9*z**2. -4*z**2 + 46443 Collect the terms in 114 - 230 + 11*k + 116 + 102*k. 113*k Collect the terms in -o**2 + 3*o**2 - 712501 - o**2 + 712501. o**2 Collect the terms in -1 - 3*s**2 + 25865*s + 25861*s - 4*s**2 - 51726*s. -7*s**2 - 1 Collect the terms in 10*w**3 + 3*w**3 + 30*w**3 + 14*w**3. 57*w**3 Collect the terms in 22*k - 28*k - 2*k. -8*k Collect the terms in 156*l**2 - 156*l**2 + 158*l**3 - 302*l**3 + 143*l**3. -l**3 Collect the terms in 40 + 35 - 3*j - 33 - 42. -3*j Collect the terms in -5102755114*h + 10*h**3 + 5102755114*h. 10*h**3 Collect the terms in -1 + 105646*h + 1. 105646*h Collect the terms in 2246*a**3 - 242 - 704*a**3 + 242. 1542*a**3 Collect the terms in 5536790*z + 9 - 5536790*z + 2*z**2. 2*z**2 + 9 Collect the terms in 3855*w - 3855*w + 7 - 147*w**2 + 2*w**3 + 147*w**2. 2*w**3 + 7 Collect the ter
{ "pile_set_name": "DM Mathematics" }
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True Is 174241 composite? False Is 10 a prime number? False Is 14621 a prime number? True Is 865409 prime? True Is 77893 prime? True Is 462911 prime? True Is 61849 a composite number? True Is 568097 a composite number? False Is 518329 prime? False Is 14303 prime? True Is 109009 prime? False Is 19567 a composite number? True Is 3478623 composite? True Is 9731 a prime number? False Is 70063 a prime number? False Is 737 a composite number? True Is 57163 composite? False Is 677587 a prime number? True Is 4670293 prime? True Is 915757 prime? True Is 35341 a prime number? False Is 963341 prime? True Is 49673 prime? False Is 231769 a composite number? True Is 191351 a composite number? True Is 20323 composite? False Is 113107 a composite number? True Is 587 a composite number? False Is 50243 a prime number? False Is 518559 composite? True Is 189485 a prime number? False Is 397 a composite number? False Is 145505 a prime number? False Is 362281 a prime number? True Is 363567 a composite number? True Is 1973 composite? False Is 5141 prime? False Is 1379769 composite? True Is 86363 a prime number? False Is 8321 prime? False Is 1284655 a prime number? False Is 493847 a prime number? False Is 865961 a prime number? False Is 3554 a prime number? False Is 4341 composite? True Is 131797 composite? False Is 11549 a prime number? True Is 66841 prime? True Is 222073 a prime number? True Is 27717 prime? False Is 5147 a composite number? False Is 1155299 a prime number? False Is 76907 a composite number? False Is 320741 a composite number? False Is 270899 prime? True Is 1244891 a composite number? True Is 20573 a composite number? True Is 9337 composite? False Is 106213 a prime number? True Is 29947 a composite number? False Is 157 prime? True Is 1200233 a composite number? False Is 5911 composite? True Is 71411 a composite number? False Is 57353 composite? True Is 10589 a composite number? False Is 2383 composite? False Is 14979 composite? True Is 194 prime? False Is 16597 a composite number? True Is 55579 prime? True Is 2245759 prime? True Is 2111 a composite number? False Is 131611 composite? False Is 40757 prime? False Is 527147 composite? True Is 56089 prime? False Is 13894 a prime number? False Is 307205 a prime number? False Is 120283 a composite number? False Is 10243 a composite number? False Is 59911 a prime number? False Is 21059 a composite number? False Is 57829 a prime number? True Is 33679 a composite number? False Is 3545585 a prime number? False Is 71291 a prime number? False Is 195907 prime? True Is 8402 a composite number? True Is 9263 a prime number? False Is 4729 prime? True Is 2861543 prime? False Is 843887 a composite number? True Is 7063 a composite number? True Is 631 prime? True Is 304237 composite? True Is 15527 a composite number? False Is 30823 prime? False Is 2921 prime? False Is 6324277 prime? True Is 633749 a composite number? True Is 8348017 composite? False Is 24943 a prime number? True Is 967 composite? False Is 18199 a composite number? False Is 127477 prime? False Is 774289 a composite number? False Is 156109 composite? False Is 420685 composite? True Is 5737 a composite number? False Is 6997 composite? False Is 4038067 prime? False Is 3793 composite? False Is 134471 prime? True Is 5209 prime? True Is 329 a prime number? False Is 9587 a composite number? False Is 4889 prime? True Is 24623 prime? True Is 614 a composite number? True Is 24887 a composite number? True Is 2941 a composite number? True Is 1141133 a prime number? False Is 3314 a composite number? True Is 481249 prime? True Is 35521 prime? True Is 100247 a prime number? False Is 23597 prime? False Is 148717 a prime number? False Is 106687 composite? True Is 395 a prime number? False Is 8329 a composite number? False Is 283369 a composite number? False Is 292319 composite? False Is 15619 composite? False Is 1421141 a prime number? True Is 3817 composite? True Is 704797 a prime number? True Is 45007 a prime number? True Is 86491 prime? True Is 31957 prime? True Is 16057 a prime number? True Is 80309 a composite number? False Is 45159 prime? False Is 438479 prime? True Is 7933 composite? False Is 113809 composite? False Is 66221 composite? False Is 475121 prime? False Is 19121 a composite number? False Is 10589 prime? True Is 227455 prime? False Is 641699 composite? True Is 217253 a prime number? True Is 377537 prime? True Is 22114 a prime number? False Is 483017 composite? False Is 1668269 a prime number? False Is 3223333 a prime number? True Is 14101 a prime number? False Is 291055 a prime number? False Is 72139 a prime number? True Is 6229 prime? True Is 259091 a composite number? True Is 147967 a prime number? False Is 182147 a composite number? True Is 81667 a composite number? False Is 6863 a composite number? False Is 7123 a composite number? True Is 171007 prime? True Is 19174 prime? False Is 100103 prime? True Is 91673 a prime number? True Is 4283 composite? False Is 152183 a prime number? True Is 9533 a prime number? True Is 362069 prime? True Is 15913 a prime number? True Is 1923854 a prime number? False Is 2021837 a composite number? False Is 5761 a prime number? False Is 9527 a prime number? False Is 103741 composite? True Is 9073 prime? False Is 211427 prime? True Is 2045 prime? False Is 11722 prime? False Is 542891 composite? False Is 215126 prime? False Is 39 composite? True Is 868487 a prime number? True Is 51583 a composite number? True Is 120157 a prime number? True Is 6779 a prime number? True Is 33247 a prime number? True Is 2123 prime? False Is 337949 a composite number? False Is 255043 a composite number? False Is 587 composite? False Is 5873 a prime number? False Is 277411 composite? False Is 259705 composite? True Is 55681 a composite number? False Is 6973 a prime number? False Is 39586 composite? True Is 1769 prime? False Is 1907 a prime number? True Is 555221 a composite number? False Is 131851 a prime number? False Is 135917 a composite number? True Is 273311 prime? True Is 6626 a composite number? True Is 164809 a composite number? False Is 11099 a prime number? False Is 153613 composite? True Is 5269 a composite number? True Is 20543 a prime number? True Is 329387 prime? True Is 1868483 a prime number? True Is 2051 a composite number? True Is 11789 a composite number? False Is 751103 prime? True Is 4856647 composite? True Is 282554 a prime number? False Is 159971 a prime number? False Is 2721 a composite number? True Is 709223 a prime number? False Is 8191 composite? False Is 18553 composite? False Is 39383 a prime number? True Is 1811 a prime number? True Is 395 prime? False Is 459049 a composite number? True Is 7571 composite? True Is 377 prime? False Is 913 prime? False Is 79409 a composite number? True Is 40387 prime? True Is 78839 prime? True Is 116999 prime? False Is 24191 composite? True Is 145399 prime? True Is 63241 prime? True Is 35569 a prime number? True Is 273407 composite? True Is 577379 prime? False Is 396793 composite? True Is 708103 a composite number? True Is 97649 prime? True Is 1327991 prime? False Is 709066 composite? True Is 22123 prime? True Is 4048043 prime? True Is 80841 composite? True Is 9961 a prime number? False Is 717751 prime? True Is 72859 pri
{ "pile_set_name": "DM Mathematics" }
(-265)/420*3 + ((-2)/(-14))/1. -7/4 What is the value of (-6)/(12 - (-189)/(-18))? -4 What is -15 + 923/65 - (-21)/25? 1/25 Calculate 13 + -8 + 3 + 8. 16 Evaluate (2 + 2/(-4))*266/4788. 1/12 What is (18/(-7 + 10))/((-3)/18*-9)? 4 What is (333/27 - 7)*(-3)/(-10)? 8/5 (4/16 - (-2)/8) + (-75)/6 -12 Calculate 21*(11/(-42) - (-110)/132). 12 (-3430)/(-588) - 10/2 5/6 Calculate 78/(-455)*14/18. -2/15 (-564)/(-1034) + 515/(-1045) 1/19 Calculate (((-9)/(-3))/(-3))/(1*(-4)/(-16)). -4 Evaluate (-1)/14 + ((-85)/(-10))/(-17). -4/7 Evaluate ((-158)/(-948))/((-10)/240). -4 ((-32)/12)/(-2) - (-48 + 49) 1/3 What is the value of (-7)/(3234/(-148)) - (0 - (-20)/420)? 3/11 Calculate -4 + -1 + (-63)/294*128/(-6). -3/7 Evaluate (-176)/2552 - (-738)/609. 8/7 (3 - 1)*(-9)/6 + (-1820)/(-572) 2/11 What is the value of 88/(-6)*(-21)/(-28)? -11 Evaluate 218/(-12) - 9990/(-555). -1/6 6*(15890/(-1134) + 14) -2/27 Calculate 5658/8856 + 16/(-18). -1/4 246/328 + ((-549)/(-420) - 2) 2/35 What is (-40)/260*26*2/(-184)? 1/23 Calculate (0 - 27/(-72)*10) + (-5)/(-4). 5 1*13 - (-13 + -3 + 19 + -12) 22 What is the value of (-5)/15 - (340/(-12) + (21 - 13))? 20 Evaluate (-10 - (-60)/(-156) - -11)/1. 8/13 Evaluate (-1216)/2736*(-9)/(-46). -2/23 (26 + 2502/(-90))/((-84)/40) 6/7 What is the value of (-1 + (-1)/(-5))*558/(-3348)? 2/15 3 + 1 + 448/(-96) -2/3 Evaluate (585/(-702))/((-2)/12). 5 What is the value of 1*(-86)/301 - 138/7? -20 1*-1*2 - (-49 - (-42 - 11)) -6 Calculate (-5)/(-22)*112/(-700). -2/55 What is the value of (-1)/5 + 0 + (11685/450)/(-41)? -5/6 What is ((-18)/10)/((-156)/1300)? 15 (-20)/(-15) + (-279)/27 -9 What is the value of (-12971)/867 - (-30)/2? 2/51 144/162 - 950/1575 2/7 (-25)/8 - (-1)/2*3/12 -3 What is (-12)/10*(-30940)/(-1092)? -34 Calculate 15/(-8)*-4*((-168)/(-20) + -10). -12 Calculate 33/330 + ((-714)/20)/(-3). 12 What is the value of ((-156)/(-195))/(4 + 243/(-60))? -16 What is (-7 - (7 - 105/7)) + (1 - -33)? 35 What is (1056/(-1683)*-17)/(2/(-3))? -16 What is the value of 492/(-249) + 9*-1 + 11? 2/83 What is the value of -4 + 9 - ((-4)/28)/((-5)/70)? 3 Evaluate (-121)/(-4) - (34/72 + (-38)/171). 30 What is the value of (8/290)/((-232)/(-530) - (-60)/(-1590))? 2/29 Evaluate -3 + (-475)/(-152) + (-205)/40. -5 Evaluate ((-224)/(-196) - (4 + 660/112)) + 8. -3/4 What is (-2)/4 + (-10)/(-36)? -2/9 What is the value of (16/(-20))/(1*(-216)/60)? 2/9 What is (87/4582*32/12)/(-2)? -2/79 What is 107/321*(0/2 - -15)? 5 What is the value of -1 - (3/2 + -1)*(-112)/52? 1/13 What is the value of (18/78)/((-5)/10)? -6/13 Calculate -12*(10 + 74/(-4) + 8). 6 Evaluate (60 - 90)/(20/8). -12 (-17)/(306/27)*92/18 - -5 -8/3 What is (-9)/(-4)*(-1300)/5850? -1/2 Calculate 1830/(-225) + 13 + -5. -2/15 What is 9/(-126)*112/(-64)? 1/8 ((4 - (-8)/(-3))*-3 - 7) + -1 -12 What is -30 + 39 + -17 + 27/4? -5/4 Calculate (-22)/33*(-2676)/(-224) - -8. 1/28 (34/(-3) - -12)/((9 + -3)/234) 26 What is (((-8)/(-3))/((-560)/(-210)))/((-1)/10)? -10 Calculate (76/28 - 3) + (-39)/(-63). 1/3 Evaluate (-16)/(-14)*(-7 - ((-95)/(-10) + -13)). -4 (-6696)/504 + 14 + -1 -2/7 Evaluate (-4)/8 + (-11)/(-14) - (-148)/(-28). -5 1*(-2)/1*(65/10 + -7) 1 -29*18/(-6525) - 177/25 -7 What is the value of 7*(-16)/336*3? -1 What is the value of -2 + 14 + -2*(-2 + (-15)/(-10))? 13 Calculate -42*20/990 + 8/12. -2/11 What is the value of (198/48)/((-72)/(-192))? 11 848 + -845 + (-2 - 38/34) -2/17 What is (16 + (-182)/7)/(-35)? 2/7 What is ((-495)/(-6))/(-11)*(-2 - 7/(-3))? -5/2 What is -2*((-5)/((-65)/(-28)) - (8 - 10))? 4/13 Evaluate ((-43)/((-602)/28))/(2/(-6)). -6 (5/(-3) + (-230)/(-30))*(-11)/(-297) 2/9 What is ((-4)/6)/(1/(-9)*3366/51)? 1/11 What is 94/(-1034) - (-51)/(-165)? -2/5 Calculate 14/(-2)*(-4)/(-14)*(4 - 1). -6 What is the value of 33/(15/(-6)*102/85)? -11 Calculate (16/(-40) + 1179/2610)/((-3)/4). -2/29 Calculate (10 - 27) + 172/10. 1/5 Calculate 4/(-18) + (3591/(-133) - 1248/(-27)). 19 Calculate (-2)/((2 + 0)/2)*12699/1494. -17 What is the value of 13/312 - 11 - -11? 1/24 (-5)/14*826/(-236) 5/4 What is (-25)/30*(57/(-15) + 4)? -1/6 What is the value of 55/30 - 44916/25992? 2/19 What is the value of 0/39 - (12 + (2 - -1))? -15 -7 + ((-10710)/98)/(-15) 2/7 (-2)/(-8) + 1 + (-2415)/828 -5/3 What is (33/(-45) + 52/156)*2/(-4)? 1/5 Calculate (-432)/(-56)*259/74. 27 What is the value of (8/(-3))/((-1 + (-56)/(-72))*3)? 4 Calculate (6/22)/(58/957). 9/2 Evaluate (-1*(-16)/(-80))/((-12)/(-40)). -2/3 Evaluate (208/(-4056))/((-4)/6). 1/13 What is (0 + -2 - 0/(9 + -13)) + -13? -15 What is -12 - (5 - (-199)/(-11))? 12/11 What is the value of ((0 - 1) + (-2)/(-3))*(3069 + -3108)? 13 Evaluate 48/20 - (-6396)/(-820). -27/5 What is the value of (((-2)/18)/(76/(-171)))/1? 1/4 Evaluate (3 + -2)*-11 - (-3009)/255. 4/5 (-2)/(-12) - (-8216)/(-624) -13 -16 - 126/(-7) - (38/14 + -1) 2/7 What is 8/(-40) + (8/(-68) - (-9370)/34850)? -2/41 Calculate 8 - 573/65 - (-13 - (-576)/45). -8/13 What is (-9 + 1)*(-1695)/(-565)? -24 What is -1*(13 - (-708)/(-54))? 1/9 What is the value of -30 + 30 - (-684)/(-26) - (-24)/78? -26 (13/3 + -5)*(1 + 354/(-12)) 19 Calculate 2/(-74) + (-146734)/(-24346). 6 (87/(-261))/((-150)/(-20)) -2/45 What is 2 - 15 - 1566/(-120)? 1/20 99/(-22) - (-60)/(-24) -7 Calculate ((-9)/18)/((-6)/(-30)). -5/2 What is 2*(2172/168 - 13)? -1/7 (643/4501)/(2/(-56)*-2) 2 Calculate 315/(-126)*(2 - (-4)/5). -7 What is the value of -24*(7803/216 + -35)? -27 Calculate (-4 - (-361)/114)*15/(-50). 1/4 Evaluate (120/(-25))/(156/(-520)). 16 What is the value of 28/140*15/(-3)? -1 Calculate (-6)/((-12)/7) - (-564)/(-72). -13/3 Calculate 91/(-442)*1/(-14)*-8. -2/17 Evaluate (-30 + -11 + 3)*1*4/8. -19 What is the value of -7*40/420*9? -6 Evaluate 940/658*14/5. 4 68/153*(-3)/2 - 14/(-6) 5/3 What is (-72)/(-78) + -1 - 2/156*462? -6 What is the value of (5/(-6))/(1430/88)? -2/39 (1/(-14)*9)/((-1353)/(-66) - 22) 3/7 Evaluate (-2)/((17/34)/((-1)/3)). 4/3 What is (9870/266 + -37)/((-6)/(-19))? 1/3 Calculate 11*(-203)/319 - (-1 - 1). -5 Evaluate (-16)/(-120) + 88/165. 2/3 2*(4 + 1)*(-5)/(560/56) -5 Evaluate 696/36 + (-25 - -5). -2/3 What is the value of 6/8*(-848)/2968? -3/14 (-42)/(-36)*(-9)/(-21) 1/2 Evaluate 12/(-16)*84/(-63)*-18. -18 3/(11 + -57 + 13) -1/11 What is (12 + -4 - 2)*(90/(-27))/(-10)? 2 Calculate (-5 - -13 - 6) + (-18)/(-3). 8 What is ((-36)/8 - -4)*136/306? -2/9 What is the value of 45/(-39) + ((-2)/3 - (-5)/3)? -2/13 What is ((-3835)/(-182) - 16) + -5? 1/14 Evaluate (9 - 29/3) + (-705)/(-45). 15 What is -13 - 50/(-4) - (-22)/20? 3/5 3 + 5 - (-182 + 207) -17 Calculate -7 + (-14)/21*(3 + 18/(-4)). -6 Evaluate ((-6525)/135 + 47)*(-2)/(-4). -2/3 Calculate (94/141)/(2/(-87)) - (-26 + 18). -21 Evaluate (-2)/15 - (-23)/((-19320)/(-1162)). 5/4 What is 1850/(-1110)*(-18)/(-1365)? -2/91 -10 + 0 - 17346/(-1652) 1/2 684/(-133) - (-2)/(2/3) -15/7 What is 1134/54 + (1 + -4)*25/(-15)? 26 Evaluate 9/5 + (-18281)/9595. -2/19 Calculate ((-16965)/(-174) - 94)/(2/(-4)). -7 (-225)/216*356/(-445) 5/6 Calculate -19 + 7 + 2034/171. -2/19 What is the value of ((-40)/(-64))/(5/(-2))? -1/4 Evaluate (-165)/(-15) + -17 - (-1 + (-188)/36). 2/9 What is the value of (0 + (-1 - -13))*(-1720)/645? -32 Calculate (-2 - 9/(-6))*8/32*-8. 1 ((-480)/1280)/((-1)/8) 3 What is the value of ((-24)/(-5) + 0)*735/(-588)? -6 What is the value of 8/1080*-387 + 1 + 2? 2/15 Calculate 2/5*(301/86)/((-14)/(-6)). 3/5 1584/156 + ((-6)/45 - 16/780) 10 ((-217)/(-100) - 2) + (-92)/368 -2/25 (1/(-20))/(44/(-274 + 54)) 1/4 Evaluate 6/4 + (1334/(-92) - (-1 + 4)). -16 Evaluate 14 + (-1170)/39 - -40. 24 Evaluate (-48)/((-288)/30) + 34/(-6). -2/3 Evaluate 4*((-3645)/280 + 13). -1/14 What is the value of ((-135)/495)/(420/(-110)) - (-82)/28? 3 What is the value of (86 + -52)/408*((-12)/(-10) + 0)? 1/10 Calculate 4 + -8 - (10 - 13). -1 What is 15/(-272) - (-6)/(-96)? -2/17 Evaluate 21*((34 - 10) + -25). -21 What is (-241)/(-1687)*(1 + -11)? -10/7 Calculate 530/(-40) - (-105)/(-60). -15 What is 9/(-21) - (5 - 3608/693)? -2/9 Evaluate 63/35 + 0 + (2223/(-130))/(-3). 15/2 Calculate (((-2)/6)/((-2)/26))/(563/(-1689)). -13 Evaluate -2*7/357 + 10770/1530. 7 What is the value of 315/(-135)*6/21 + 80/15? 14/3 What is the value of 22/(44/(-18)) - 227/(-25)? 2/25 What is the value of -7 + 7 + (3 +
{ "pile_set_name": "DM Mathematics" }
7, 1943, 2341? h**2 + 387*h - 17 What is the n'th term of -19, -143, -267? -124*n + 105 What is the w'th term of -45, -89, -133? -44*w - 1 What is the k'th term of 430, 368, 306, 244, 182? -62*k + 492 What is the j'th term of 5, 21, 61, 137, 261, 445, 701? 2*j**3 + 2*j + 1 What is the s'th term of 76, 154, 232? 78*s - 2 What is the s'th term of 718, 700, 672, 628, 562, 468? -s**3 + s**2 - 14*s + 732 What is the z'th term of 5, 20, 59, 122, 209, 320? 12*z**2 - 21*z + 14 What is the s'th term of 25, 35, 21, -29, -127, -285? -2*s**3 + 24*s + 3 What is the h'th term of -9, 3, 17, 33? h**2 + 9*h - 19 What is the n'th term of -467, -1851, -4157, -7385, -11535? -461*n**2 - n - 5 What is the q'th term of -19, -36, -51, -64, -75, -84? q**2 - 20*q What is the g'th term of 0, 2, 4, 6, 8, 10? 2*g - 2 What is the v'th term of 27, 24, 17, 6, -9, -28? -2*v**2 + 3*v + 26 What is the g'th term of 22739, 22737, 22735, 22733, 22731? -2*g + 22741 What is the k'th term of -421, -847, -1273? -426*k + 5 What is the l'th term of 26444, 26443, 26442, 26441, 26440? -l + 26445 What is the n'th term of -30, -61, -94, -129? -n**2 - 28*n - 1 What is the z'th term of 1, 24, 85, 202, 393, 676? 3*z**3 + z**2 - z - 2 What is the k'th term of 19, 24, 31, 40, 51, 64? k**2 + 2*k + 16 What is the l'th term of -6, -14, -28, -48, -74, -106, -144? -3*l**2 + l - 4 What is the k'th term of 1372, 1382, 1398, 1420, 1448, 1482? 3*k**2 + k + 1368 What is the l'th term of 50, 88, 126, 164, 202? 38*l + 12 What is the s'th term of 1836, 1841, 1846, 1851, 1856? 5*s + 1831 What is the p'th term of -663, -1328, -1995, -2664? -p**2 - 662*p What is the c'th term of -64, -49, -72, -151, -304, -549, -904? -3*c**3 - c**2 + 39*c - 99 What is the l'th term of -331, -653, -961, -1249, -1511? l**3 + l**2 - 332*l - 1 What is the a'th term of 21, 23, 35, 63, 113, 191, 303? a**3 - a**2 - 2*a + 23 What is the l'th term of 320, 322, 326, 332, 340, 350, 362? l**2 - l + 320 What is the f'th term of 65319, 65320, 65321? f + 65318 What is the m'th term of -92, -90, -88, -86, -84, -82? 2*m - 94 What is the p'th term of -1459, -1458, -1457, -1456? p - 1460 What is the p'th term of -149, -271, -393? -122*p - 27 What is the v'th term of -365, -728, -1093, -1460, -1829? -v**2 - 360*v - 4 What is the x'th term of -438, -447, -480, -549, -666, -843, -1092? -2*x**3 + 5*x - 441 What is the p'th term of 3, 14, 25, 36, 47, 58? 11*p - 8 What is the j'th term of -37, -44, -39, -16, 31, 108, 221, 376? j**3 - 14*j - 24 What is the q'th term of -66, -66, -86, -144, -258, -446? -3*q**3 + 8*q**2 - 3*q - 68 What is the d'th term of -588, -600, -626, -672, -744, -848, -990? -d**3 - d**2 - 2*d - 584 What is the n'th term of 52, 104, 156? 52*n What is the d'th term of -182, -184, -186, -188? -2*d - 180 What is the i'th term of -114, -214, -312, -408, -502, -594, -684? i**2 - 103*i - 12 What is the u'th term of 158, 165, 170, 167, 150? -u**3 + 5*u**2 - u + 155 What is the h'th term of -4, 13, 48, 107, 196, 321? h**3 + 3*h**2 + h - 9 What is the c'th term of 15, 9, -5, -27, -57? -4*c**2 + 6*c + 13 What is the d'th term of 3, 13, 37, 81, 151, 253, 393, 577? d**3 + d**2 + 1 What is the v'th term of 15304, 15304, 15312, 15334, 15376, 15444? v**3 - 2*v**2 - v + 15306 What is the v'th term of -123, -125, -121, -105, -71, -13, 75, 199? v**3 - 3*v**2 - 121 What is the s'th term of -39, -72, -95, -102, -87? s**3 - s**2 - 37*s - 2 What is the k'th term of -4366, -8736, -13106, -17476, -21846? -4370*k + 4 What is the a'th term of -30, -127, -290, -519, -814, -1175, -1602? -33*a**2 + 2*a + 1 What is the x'th term of 69, 91, 115, 141, 169? x**2 + 19*x + 49 What is the q'th term of -203, -415, -629, -845, -1063? -q**2 - 209*q + 7 What is the c'th term of -122, -123, -124, -125, -126, -127? -c - 121 What is the o'th term of -8757, -8759, -8761? -2*o - 8755 What is the s'th term of 2, 11, 20? 9*s - 7 What is the c'th term of 138, 124, 94, 42, -38, -152, -306, -506? -c**3 - 2*c**2 - c + 142 What is the r'th term of 47, 64, 81? 17*r + 30 What is the d'th term of 16, 42, 68, 94, 120, 146? 26*d - 10 What is the y'th term of 56, 98, 126, 134, 116, 66, -22? -y**3 - y**2 + 52*y + 6 What is the c'th term of 13, 21, 51, 115, 225, 393? 2*c**3 - c**2 - 3*c + 15 What is the g'th term of 12, -52, -160, -312, -508, -748, -1032? -22*g**2 + 2*g + 32 What is the z'th term of -202, -187, -146, -67, 62, 253, 518? 2*z**3 + z**2 - 2*z - 203 What is the u'th term of 72, 144, 214, 282, 348, 412? -u**2 + 75*u - 2 What is the q'th term of 112, 168, 222, 274, 324, 372? -q**2 + 59*q + 54 What is the h'th term of 64, 151, 248, 355, 472, 599, 736? 5*h**2 + 72*h - 13 What is the j'th term of 221, 214, 195, 158, 97? -j**3 + 222 What is the p'th term of 196, 390, 584, 778? 194*p + 2 What is the q'th term of -11, -18, -17, -8, 9, 34, 67? 4*q**2 - 19*q + 4 What is the z'th term of -1088, -1091, -1104, -1133, -1184? -z**3 + z**2 + z - 1089 What is the k'th term of 9, 21, 35, 51, 69? k**2 + 9*k - 1 What is the h'th term of 60, 227, 504, 891, 1388, 1995? 55*h**2 + 2*h + 3 What is the a'th term of 26, 52, 88, 140, 214, 316, 452, 628? a**3 - a**2 + 22*a + 4 What is the q'th term of -4, 2, 8, 14, 20, 26? 6*q - 10 What is the b'th term of -11, -47, -83, -119, -155? -36*b + 25 What is the x'th term of -21, 6, 45, 96, 159, 234? 6*x**2 + 9*x - 36 What is the w'th term of 2, -1, -20, -67, -154, -293, -496, -775? -2*w**3 + 4*w**2 - w + 1 What is the g'th term of 34, 24, -34, -134, -270, -436? g**3 - 30*g**2 + 73*g - 10 What is the r'th term of -66, -418, -1356, -3174, -6166? -49*r**3 + r**2 - 12*r - 6 What is the i'th term of 627, 1255, 1881, 2505, 3127, 3747? -i**2 + 631*i - 3 What is the w'th term of 97, 200, 313, 442, 593, 772? w**3 - w**2 + 99*w - 2 What is the m'th term of -301, -303, -305, -307, -309? -2*m - 299 What is the i'th term of -15, -50, -105, -174, -251, -330? i**3 - 16*i**2 + 6*i - 6 What is the k'th term of 485, 489, 493? 4*k + 481 What is the k'th term of 6, 95, 340, 819, 1610, 2791, 4440? 13*k**3 - 2*k - 5 What is the l'th term of 90, 186, 284, 384? l**2 + 93*l - 4 What is the b'th term of -13, -13, -25, -55, -109? -b**3 + 7*b - 19 What is the r'th term of -21, -21, -15, 3, 39? r**3 - 3*r**2 + 2*r - 21 What is the w'th term of -751, -748, -745? 3*w - 754 What is the i'th term of 0, 32, 88, 168? 12*i**2 - 4*i - 8 What is the o'th term of -119, -185, -233, -257, -251, -209, -125? o**3 + 3*o**2 - 82*o - 41 What is the u'th term of 2, 75, 148, 221, 294, 367? 73*u - 71 What is the u'th term of -26, -50, -72, -92, -110, -126, -140? u**2 - 27*u What is the h'th term of 307, 299, 287, 271, 251, 227? -2*h**2 - 2*h + 311 What is the n'th term of -93, -178, -261, -342, -421, -498? n**2 - 88*n - 6 What is the s'th term of 122, 240, 344, 428, 486, 512, 500, 444? -s**3 - s**2 + 128*s - 4 What is the h'th term of -51, -88, -113, -120, -103, -56, 27, 152? h**3 - 44*h - 8 What is the q'th term of 93, 466, 1095, 1986, 3145? q**3 + 122*q**2 - 30 What is the r'th term of 10, 21, 24, 19, 6, -15, -44? -4*r**2 + 23*r - 9 What is the u'th term of -36, -83, -128, -171? u**2 - 50*u + 13 What is the u'th term of 10, 14, 14, 10, 2, -10, -26? -2*u**2 + 10*u + 2 What is the a'th term of 8060, 8062, 8064? 2*a + 8058 What is the f'th term of -828, -863, -900, -939, -980? -f**2 - 32*f - 795 What is the z'th term of -1520, -3043, -4566, -6089? -1523*z + 3 What is the d'th term of -1328, -2656, -3984, -5312? -1328*d What is the r'th term of 141, 294, 447? 153*r - 12 What is the c'th term of -32, -61, -70, -53, -4, 83, 214, 395? c**3 + 4*c**2 - 48*c + 11 What is the f'th term of 122, 491, 1106, 1967? 123*f**2 - 1 What is the i'th term of 41, 83, 121, 155? -2*i**2 + 48*i - 5 What is the f'th term of -925, -924, -921, -916, -909, -900? f**2 - 2*f - 924 What is the x'th term of -383, -714, -1045, -1376? -331*x - 52 What is the f'th term of -201, -807, -1817, -3231? -202*f**2 + 1 What is the w'th term of 117, 235, 353, 471? 118*w - 1 What is the y'th term of -689, -414, 37, 658, 1443, 2386? -y**3 + 94*y**2 - 782 What is the h'th term of 2634, 2623, 2608, 2589, 2566, 2539? -2*h**2 - 5*h + 2641 What is the s'th term of -14, -76, -186, -344, -550? -24*s**2 + 10*s What is the u'th term of 272, 1105, 2494, 4439, 694
{ "pile_set_name": "DM Mathematics" }
236040444.8 What is 566.28 + 730.6605026? 1296.9405026 Sum 8341.2970663 and -8. 8333.2970663 Calculate 660 + 993258927. 993259587 Add together -14 and 10445965517. 10445965503 What is 45886 - 97857490? -97811604 1029798 + 7424.0504 1037222.0504 What is the distance between -194649 and -25142958? 24948309 Sum -189507.0998 and -316. -189823.0998 Work out -15 + 15858731410. 15858731395 Sum 4964.083 and -3.86028. 4960.22272 What is the difference between 1386124 and 6.25689? 1386117.74311 What is 2493147308 take away 14? 2493147294 What is -49523 + -25856406.1? -25905929.1 Total of -8298.9201 and -24285. -32583.9201 Add together 466072378 and -24. 466072354 Work out 0.6627 + -2750680. -2750679.3373 Work out -8973 - 18767667012. -18767675985 What is 2172170779771 minus 8? 2172170779763 What is 0.5 take away 85781926066? -85781926065.5 Put together -649181499 and -247. -649181746 What is 1.7614929 less than -2.567? -4.3284929 Put together -0.04292 and 3259355582. 3259355581.95708 What is -493.738123 less than 53194? 53687.738123 What is -210 plus -6042.5448215? -6252.5448215 Put together 0.63439909 and 535. 535.63439909 -3.3935006921+0.5 -2.8935006921 Add 416.62333735 and -8. 408.62333735 -567.081 - 36889 -37456.081 0.2141556+235845 235845.2141556 Work out 5 + -16112949139. -16112949134 Sum 0.04 and -6252401383. -6252401382.96 What is 12102614247.8 plus -0.3? 12102614247.5 What is 227857661.46 - -53? 227857714.46 Subtract -914 from 398391323593. 398391324507 What is the difference between 283408 and -13.348208? 283421.348208 Calculate 26.1698 - -347165. 347191.1698 What is 2352160 less than -622.01? -2352782.01 12645440 + -8.398 12645431.602 Put together -0.2 and -7045332295.42. -7045332295.62 What is -1966034 + -2214874.95? -4180908.95 Sum 1187 and 3996188.9. 3997375.9 Work out -820 + 21824582. 21823762 What is -1023182235 less than 0.29? 1023182235.29 What is -5.465 less than -2.835179388? 2.629820612 Calculate 4 + -85869637776. -85869637772 Work out 6 + 1169.775719. 1175.775719 Sum 660790812.736 and -15. 660790797.736 What is 1600245 + -118977? 1481268 Calculate 560283106 - -941. 560284047 What is 0.38088 - -257.46746? 257.84834 Put together -48345 and -0.02117847929. -48345.02117847929 Subtract -7.26426521 from -1362. -1354.73573479 Work out -26103729936 - 0.47. -26103729936.47 Subtract -0.4 from -798682996075. -798682996074.6 What is -568.8901 minus -2004.1? 1435.2099 Subtract -438272.36 from -874. 437398.36 Sum -953 and -246658671. -246659624 Work out -0.108868 + 27.25946. 27.150592 Add 26.976 and -131989154. -131989127.024 Work out -0.12433 + -2097275.5306. -2097275.65493 952+24745073.57 24746025.57 Subtract 8.6 from 1.8204701719. -6.7795298281 Work out -2 - -324094830125. 324094830123 What is -8.20199198226 take away -1? -7.20199198226 Put together -788961 and 2.39326. -788958.60674 26324 - -999308584 999334908 What is 1225678 take away -993.67? 1226671.67 -965127149.07 - 5 -965127154.07 What is -0.3 minus 45.2693152721? -45.5693152721 What is -0.007066 plus -2185.90421? -2185.911276 What is 5 take away 61951537168? -61951537163 Subtract -104576202 from -96052. 104480150 Sum -252142 and -15363530. -15615672 Calculate 1765.523 - -2798782. 2800547.523 -282110200939+0.4 -282110200938.6 Work out -6738192360 + -0.23. -6738192360.23 Calculate 0.0037371 - 18683.3263. -18683.3225629 279+172974989043 172974989322 Subtract -5487.27077 from -600. 4887.27077 What is 0 - 36977924324.473? -36977924324.473 Work out -4028 - -16183837027. 16183832999 What is -507390568079 - 1.7? -507390568080.7 What is the distance between -0.04 and -3756.9095809? 3756.8695809 What is 2 plus -138582833131? -138582833129 What is -1429052 take away -109.9317? -1428942.0683 Add 0.21848099 and -1971159. -1971158.78151901 What is -61193 minus 265445934? -265507127 Work out 0.027 + 1095928691. 1095928691.027 What is 2015089716.97 - 0.11? 2015089716.86 4761785.819 - -2.2 4761788.019 Calculate 1 + 62511837202. 62511837203 -48522 - 1899987 -1948509 Add 727825 and -562897. 164928 0.4+-39684700160 -39684700159.6 What is the difference between 3.27221882466 and -4? 7.27221882466 Add together 215013.29 and 309.3. 215322.59 What is 56233.253976 take away 21.4? 56211.853976 Subtract 73621611743 from 0.03. -73621611742.97 What is 367.5389 minus -0.27121? 367.81011 What is the distance between -6 and 19810.817488064? 19816.817488064 What is -1868289 take away 158025? -2026314 0.0340491601828 - 0.8 -0.7659508398172 What is 27 plus -298044344127? -298044344100 Calculate 0.090122655 + -0.114316. -0.024193345 Total of -8 and -0.026781322043. -8.026781322043 Sum 379141080425 and -0.38. 379141080424.62 -2990378098607+10 -2990378098597 What is -2427 + 21797.576? 19370.576 What is 114 less than 3724807759? 3724807645 What is 441 minus 381370355616? -381370355175 What is the distance between -181 and 703210053? 703210234 -6147.446776+-0.59 -6148.036776 Subtract 0.45 from 3315069279447. 3315069279446.55 Sum -208300850 and 0.02456. -208300849.97544 What is -1263719 take away 3433.49534? -1267152.49534 Add together 304 and -9623538217. -9623537913 What is -2385693.4 take away -21881? -2363812.4 Calculate 2 + -1075.47861045. -1073.47861045 What is the difference between -50596817388 and -0.12? 50596817387.88 Work out 808.55 - -1679.60305. 2488.15305 What is -19.19796 take away 12690959? -12690978.19796 What is 941 - 741408083? -741407142 What is 8632.690305181 take away -4? 8636.690305181 What is 0.0194932766 - -80.35? 80.3694932766 Total of -3 and -89120683452. -89120683455 Work out -2577.871 - 1.7288795. -2579.5998795 Work out -0.43867 - -782454.9. 782454.46133 Work out -15 + 283122537109. 283122537094 What is 3258988 + -15603322? -12344334 Calculate -1056 + -912314401.54. -912315457.54 What is the difference between 9158750895 and 0.0006? 9158750894.9994 Calculate -2753985 - 151608. -2905593 What is -2341153049411 plus 2? -2341153049409 Add together 1.16 and 61214.7449. 61215.9049 What is the distance between -0.3311761798 and -11352? 11351.6688238202 What is -0.1866 plus -33648941? -33648941.1866 Add -356.537010944 and 555. 198.462989056 What is -668015646 take away -9.47? -668015636.53 56216644053+-0.1 56216644052.9 Total of -38360.64 and -93224. -131584.64 What is 2314376379765.1 plus 0.01? 2314376379765.11 258660354 - -6049 258666403 Total of -1.166652 and -7508861. -7508862.166652 Add together 0.063183 and -96.8715. -96.808317 What is 6454898 + 26.681? 6454924.681 What is the distance between 4869437.9728804 and 1? 4869436.9728804 Calculate -15627238291 - 0.458. -15627238291.458 Work out 0.41062 - -13.5831502. 13.9937702 What is 2 less than -1084.920825099? -1086.920825099 What is 0.0797911053407 - 0.08? -0.0002088946593 Work out 28589772114 - 7873. 28589764241 Add -2 and -195791205315. -195791205317 What is -6299996 take away 46207? -6346203 Subtract 12477540000 from 233. -12477539767 What is -2854410 plus -44083025? -46937435 Calculate -0.69539 - -506.1831. 505.48771 Add 38.4 and 8500.07974. 8538.47974 What is the distance between 779.4708521 and 615? 164.4708521 Work out -118 - -101358998052.4. 101358997934.4 What is 89228 take away -5.962885? 89233.962885 What is 60200.84 - 522654? -462453.16 What is 846814533441 less than -0.032? -846814533441.032 Calculate 65103.67308 - 0.2. 65103.47308 16.42 + -100896002402 -100896002385.58 What is 1690 less than -4.4328737405? -1694.4328737405 Total of 2.63 and 17551.41855. 17554.04855 What is -11787.281136 + -29.9? -11817.181136 57643871 + 758785 58402656 What is 1.45080094624 less than -79? -80.45080094624 Add together -40891719237 and 30. -40891719207 What is -0.7799 minus -2365659.6664? 2365658.8865 Add together 16644829.1 and -0.18498. 16644828.91502 Work out 261.5 - 2063.3124. -1801.8124 What is -3579414 take away 617070? -4196484 Work out -916711 - 0.1745981. -916711.1745981 Subtract 1.46147223742 from -5. -6.46147223742 What is 129535123.325 plus -11.36? 129535111.965 What is 8612 plus 0.47602052? 8612.47602052 What is -3710481 - 141657? -3852138 What is the difference between 144856409 and -1969.8? 144858378.8 What is 98275102 take away -72443? 98347545 3268742 - 295.0703 3268446.9297 What is 0.04 plus -237307236052? -237307236051.96 What is
{ "pile_set_name": "DM Mathematics" }
cending order. 117, 54, 3, 0 Sort 4, -29, -1012. -1012, -29, 4 Sort -5, 3, 5, 81, 4 in descending order. 81, 5, 4, 3, -5 Sort 2, 2/29, -3, -1/12, 9 in ascending order. -3, -1/12, 2/29, 2, 9 Sort -2.68, -0.05, 1/6, -4, 8 in ascending order. -4, -2.68, -0.05, 1/6, 8 Sort -1, 5, -187, -241, 10. -241, -187, -1, 5, 10 Put -651, -34, -1, -0.05 in ascending order. -651, -34, -1, -0.05 Put -36, 3, -6, 1, -1 in decreasing order. 3, 1, -1, -6, -36 Sort 18, -561, 4, -5 in ascending order. -561, -5, 4, 18 Put 22, -10, -5, -14, -1 in ascending order. -14, -10, -5, -1, 22 Sort -1/6, -0.1, 0.2, 0.03, 2552 in decreasing order. 2552, 0.2, 0.03, -0.1, -1/6 Put -2, -3, -0.056, -48 in descending order. -0.056, -2, -3, -48 Put 9, -1274, -5/3 in descending order. 9, -5/3, -1274 Sort 3, -423, -9, 0, -2, 5. -423, -9, -2, 0, 3, 5 Sort -25, -4, 359. -25, -4, 359 Sort -5, 65, 222, 3 in descending order. 222, 65, 3, -5 Put 5, -4, 2/3, 14398 in ascending order. -4, 2/3, 5, 14398 Put 2, -4, 5, 528, 3 in decreasing order. 528, 5, 3, 2, -4 Put 5359, -2, 20 in descending order. 5359, 20, -2 Put 44, -15, 52 in decreasing order. 52, 44, -15 Put -1, -46, -22, 1, -7, 0 in decreasing order. 1, 0, -1, -7, -22, -46 Put 2/21, -4, -230/57, -5 in decreasing order. 2/21, -4, -230/57, -5 Sort -1/7, -178, -2/35. -178, -1/7, -2/35 Put 1/4, -1, -24742, 3 in descending order. 3, 1/4, -1, -24742 Put 15, 0.6, -3/5, -3/7, 50 in descending order. 50, 15, 0.6, -3/7, -3/5 Sort 12, -0.5, -0.4, 3, 0.053, -5 in decreasing order. 12, 3, 0.053, -0.4, -0.5, -5 Sort -4, -3, -172008. -172008, -4, -3 Sort -152, 4, 10810 in decreasing order. 10810, 4, -152 Put -5, 10, 0, -12, -2, -1 in decreasing order. 10, 0, -1, -2, -5, -12 Put -1, -2, 507.16, 0.4 in ascending order. -2, -1, 0.4, 507.16 Sort 0, -5, -337, -309. -337, -309, -5, 0 Sort 0.3, 28, -19.3, 2 in increasing order. -19.3, 0.3, 2, 28 Put 2/11, -537, 4, 2/13, 2, -2/5 in increasing order. -537, -2/5, 2/13, 2/11, 2, 4 Put -278, -4, 2, -19, 6 in increasing order. -278, -19, -4, 2, 6 Sort 0.2592, 11, -1/4, -9 in descending order. 11, 0.2592, -1/4, -9 Sort -2134, 15, 1, -1, -2 in ascending order. -2134, -2, -1, 1, 15 Sort -3, 1, -2, 55, 2, -29 in decreasing order. 55, 2, 1, -2, -3, -29 Sort -2/3, -0.1, -193259 in decreasing order. -0.1, -2/3, -193259 Sort 0.5, 0.2, -2/33, 276, 3 in descending order. 276, 3, 0.5, 0.2, -2/33 Put 7, -46935, 5, -3 in ascending order. -46935, -3, 5, 7 Put 0, 1, 5, 2, -1, -299 in ascending order. -299, -1, 0, 1, 2, 5 Sort 3654, -2, 4, -228. -228, -2, 4, 3654 Put 0.3, -14, 7, -3, 1/8 in ascending order. -14, -3, 1/8, 0.3, 7 Sort 42, 1, 4, -59 in descending order. 42, 4, 1, -59 Put -3, 214, -0.5 in descending order. 214, -0.5, -3 Put -1049, 0.1, 1 in decreasing order. 1, 0.1, -1049 Sort 118, 0, 7 in ascending order. 0, 7, 118 Sort -3, 0, 42.82, 0.2 in descending order. 42.82, 0.2, 0, -3 Put 10, 7, 21, -4, -6 in descending order. 21, 10, 7, -4, -6 Sort -6, 4, 0.3, 23, -2/7, 0.1 in descending order. 23, 4, 0.3, 0.1, -2/7, -6 Sort -4, 5, 13, -3, -14 in increasing order. -14, -4, -3, 5, 13 Put -0.0186, -1/8, 2/15, 5 in decreasing order. 5, 2/15, -0.0186, -1/8 Sort -18, -1, 22, 1, -37 in ascending order. -37, -18, -1, 1, 22 Put -5, 123, -168 in ascending order. -168, -5, 123 Sort 1/39, -0.1, -986, -0.3 in decreasing order. 1/39, -0.1, -0.3, -986 Put -58, 2, -111, -5 in ascending order. -111, -58, -5, 2 Sort 4, 608, -1, 5, 2, 17. -1, 2, 4, 5, 17, 608 Sort -4, -7, 1, 4, -23, -18 in ascending order. -23, -18, -7, -4, 1, 4 Sort 1364, 5, -1, -2 in descending order. 1364, 5, -1, -2 Sort -14, -5, 1, -31, -54, 4. -54, -31, -14, -5, 1, 4 Sort -4/7, 1.81, 0.1, 8, -7/3 in increasing order. -7/3, -4/7, 0.1, 1.81, 8 Sort 2/5, -3, 13, 1, 409 in ascending order. -3, 2/5, 1, 13, 409 Put 2, 658, 3, 1 in descending order. 658, 3, 2, 1 Put 4/5, 4, -1665.8 in decreasing order. 4, 4/5, -1665.8 Sort -4, -0.09, 0.2, 911. -4, -0.09, 0.2, 911 Sort 0, -4, 49, -2/13, -9, -4/5 in decreasing order. 49, 0, -2/13, -4/5, -4, -9 Sort -2, 1, 126097, -4 in decreasing order. 126097, 1, -2, -4 Put -2, -1/2, 136, 2, 4 in decreasing order. 136, 4, 2, -1/2, -2 Put 3, -2, -1, 20, -22 in decreasing order. 20, 3, -1, -2, -22 Sort 2, 4, -1, 317 in increasing order. -1, 2, 4, 317 Sort -0.92, -1, 0.9, 7 in descending order. 7, 0.9, -0.92, -1 Put -5, 44, -2/5, -3, 5 in increasing order. -5, -3, -2/5, 5, 44 Sort -4, 26, 3, -5, -13, 4 in ascending order. -13, -5, -4, 3, 4, 26 Put -0.04, -1, 8, 7, -2 in decreasing order. 8, 7, -0.04, -1, -2 Put 0, -10, 521, -11, -1 in descending order. 521, 0, -1, -10, -11 Put 54, 1, -11, -3, 21, 2 in increasing order. -11, -3, 1, 2, 21, 54 Put 0, -8, 2, -2, 5, 907 in ascending order. -8, -2, 0, 2, 5, 907 Sort 1/10224, -1/37, 3 in descending order. 3, 1/10224, -1/37 Put 3, 29/3, 0.3, -10/11, 0.4, -3 in increasing order. -3, -10/11, 0.3, 0.4, 3, 29/3 Put 8, 3, -9, 834 in increasing order. -9, 3, 8, 834 Put -9, -37, -27 in descending order. -9, -27, -37 Put -1/2, -0.0041, 6.1, -1 in descending order. 6.1, -0.0041, -1/2, -1 Sort -3, -11, -2, -2299 in decreasing order. -2, -3, -11, -2299 Sort -2, 4/7, 3, -5, -11/30, 1. -5, -2, -11/30, 4/7, 1, 3 Sort -3/5, -13785, -0.3, 1 in descending order. 1, -0.3, -3/5, -13785 Put 5, -751, -14 in descending order. 5, -14, -751 Sort 11, -7, 10, 0, -8 in increasing order. -8, -7, 0, 10, 11 Sort -87.41, 11, -2. -87.41, -2, 11 Sort 0.09, 31, -0.1, 0, 5 in ascending order. -0.1, 0, 0.09, 5, 31 Put -48, 56308, -5 in ascending order. -48, -5, 56308 Put -14, 35, 5, -4, -3, 3 in descending order. 35, 5, 3, -3, -4, -14 Sort -0.4, 1/4, 1607 in descending order. 1607, 1/4, -0.4 Sort -1, -11, -7, 1, 5, -45 in ascending order. -45, -11, -7, -1, 1, 5 Put -43, -416, -3 in increasing order. -416, -43, -3 Sort 546, -3, 7. -3, 7, 546 Sort -28, 0, 2, -1, -264 in decreasing order. 2, 0, -1, -28, -264 Put 0, 1, -120, 6, 5 in increasing order. -120, 0, 1, 5, 6 Sort -18, -12, 5, 1/3, -2/5 in descending order. 5, 1/3, -2/5, -12, -18 Sort 2, -2, -40, 1. -40, -2, 1, 2 Sort 491, -22, -72 in decreasing order. 491, -22, -72 Put -0.4, 0.4, -2/9, -0.033 in descending order. 0.4, -0.033, -2/9, -0.4 Put -4, 3, -1/25, -2/7, 15 in decreasing order. 15, 3, -1/25, -2/7, -4 Put 8, 1983, -4, 11 in increasing order. -4, 8, 11, 1983 Sort -66, -2, 64, -1/3. -66, -2, -1/3, 64 Sort -3, 2, 191, -5, -12, -4 in descending order. 191, 2, -3, -4, -5, -12 Put 15, 3/32, 16, 5 in descending order. 16, 15, 5, 3/32 Sort 4, 2606, 0, -1, 2, -2. -2, -1, 0, 2, 4, 2606 Put 3, -1, 4904, 15 in decreasing order. 4904, 15, 3, -1 Sort -48, 23, 3, -2, -1 in descending order. 23, 3, -1, -2, -48 Sort 308, -0.4, 0.5, -277, 0.3. -277, -0.4, 0.3, 0.5, 308 Sort 2, -2, 44658, 5 in decreasing order. 44658, 5, 2, -2 Sort 19, 9, -7, 1 in increasing order. -7, 1, 9, 19 Sort -33, -8, -75 in ascending order. -75, -33, -8 Sort -5, -189214, -2 in increasing order. -189214, -5, -2 Sort 3/5, 5, 0.3, 1, -46, -3790. -3790, -46, 0.3, 3/5, 1, 5 Sort 5, 2, -106, 24, 4. -106, 2, 4, 5, 24 Put 4, -2, 218, 1, -3 in decreasing order. 218, 4, 1, -2, -3 Sort 5, -5, 4, -873, 18 in descending order. 18, 5, 4, -5, -873 Sort -1/3, 10, 2072 in increasing order. -1/3, 10, 2072 Sort -50, 118, -3, 2/7 in increasing order. -50, -3, 2/7, 118 Sort -502.9, -4, 52, -1 in decreasing order. 52, -1, -4, -502.9 Put 0, -30894, -8, 5 in ascending order. -30894, -8, 0, 5 Sort 1/4, 4, -0.5, -3, -0.4, 327/4. -3, -0.5, -0.4, 1/4, 4, 327/4 Sort 1, -1, 1385, -947 in increasing order. -947, -1, 1, 1385 Sort -1, 5, -5, -2499, 7 in ascending order. -2499, -5, -1, 5, 7 Sort 104, 5, 2, 0.06, 0, 2/23 in decreasing order. 104, 5, 2, 2/23, 0.06, 0 Sort 30, -14, -319, 4 in increasing order. -319, -14, 4, 30 Sort -3, 10, 6, 4 in ascending order. -3, 4, 6, 10 Sort 3/5, -4/21, 1/27 in decreasing order. 3/5, 1/27, -4/21 Sort -180, 581, 0, -3. -180, -3, 0, 581 Sort -4, 0, -20, -2, 109. -20, -4, -2, 0, 109 Put -1185, -10, 0 in increasing order. -1185, -10, 0 Sort -63, 309, 6, -5 in descending order. 309, 6, -5, -63 Put -3, -8, 3/4, -0.3, 4/5, -926 in decreasing order. 4/5, 3/4, -0.3, -3, -8, -926 Put 4, -33, 1, 0, 971 in decreasing order. 971, 4, 1, 0, -33 Put -78, 1/3, -2/3, -2, -3 in ascending order. -78, -3, -2, -2/3, 1/3 Put -21, 6, 13, -1, -
{ "pile_set_name": "DM Mathematics" }
er of 1/4, to the nearest integer? 62 What is 1449770 to the power of 1/2, to the nearest integer? 1204 What is 18819067 to the power of 1/2, to the nearest integer? 4338 What is the square root of 6190312 to the nearest integer? 2488 What is the square root of 1294257 to the nearest integer? 1138 What is the square root of 126724 to the nearest integer? 356 What is the fourth root of 8686785 to the nearest integer? 54 What is 10025678 to the power of 1/5, to the nearest integer? 25 What is 303863 to the power of 1/2, to the nearest integer? 551 What is 1690571 to the power of 1/3, to the nearest integer? 119 What is 8285496 to the power of 1/3, to the nearest integer? 202 What is the cube root of 544378 to the nearest integer? 82 What is 7001895 to the power of 1/5, to the nearest integer? 23 What is the sixth root of 92761 to the nearest integer? 7 What is 2153599 to the power of 1/7, to the nearest integer? 8 What is 71982 to the power of 1/2, to the nearest integer? 268 What is the square root of 1361415 to the nearest integer? 1167 What is the tenth root of 4090920 to the nearest integer? 5 What is 652932 to the power of 1/4, to the nearest integer? 28 What is 16262 to the power of 1/5, to the nearest integer? 7 What is 9384896 to the power of 1/4, to the nearest integer? 55 What is the eighth root of 2645337 to the nearest integer? 6 What is 180616 to the power of 1/9, to the nearest integer? 4 What is 9800553 to the power of 1/5, to the nearest integer? 25 What is 184189 to the power of 1/5, to the nearest integer? 11 What is the sixth root of 23409749 to the nearest integer? 17 What is the square root of 55642 to the nearest integer? 236 What is the third root of 5244003 to the nearest integer? 174 What is 44727 to the power of 1/3, to the nearest integer? 35 What is the eighth root of 23448535 to the nearest integer? 8 What is 9657374 to the power of 1/2, to the nearest integer? 3108 What is the sixth root of 4542251 to the nearest integer? 13 What is 79117 to the power of 1/8, to the nearest integer? 4 What is 427096 to the power of 1/9, to the nearest integer? 4 What is the square root of 30663441 to the nearest integer? 5537 What is the sixth root of 126863 to the nearest integer? 7 What is the third root of 5922917 to the nearest integer? 181 What is the cube root of 236248 to the nearest integer? 62 What is the fifth root of 207542 to the nearest integer? 12 What is the third root of 3029475 to the nearest integer? 145 What is the ninth root of 1443828 to the nearest integer? 5 What is the cube root of 14369905 to the nearest integer? 243 What is 5948 to the power of 1/2, to the nearest integer? 77 What is 4435905 to the power of 1/2, to the nearest integer? 2106 What is 2264700 to the power of 1/3, to the nearest integer? 131 What is 137935 to the power of 1/7, to the nearest integer? 5 What is 55508 to the power of 1/2, to the nearest integer? 236 What is the tenth root of 13792706 to the nearest integer? 5 What is the ninth root of 3519160 to the nearest integer? 5 What is the cube root of 1182 to the nearest integer? 11 What is the cube root of 4412008 to the nearest integer? 164 What is 996429 to the power of 1/8, to the nearest integer? 6 What is the third root of 521173 to the nearest integer? 80 What is the fifth root of 7731072 to the nearest integer? 24 What is 1283957 to the power of 1/2, to the nearest integer? 1133 What is 32659 to the power of 1/2, to the nearest integer? 181 What is the square root of 2560262 to the nearest integer? 1600 What is the square root of 1742802 to the nearest integer? 1320 What is 1732342 to the power of 1/3, to the nearest integer? 120 What is 1788071 to the power of 1/3, to the nearest integer? 121 What is 20709 to the power of 1/3, to the nearest integer? 27 What is 3174566 to the power of 1/2, to the nearest integer? 1782 What is the third root of 14907081 to the nearest integer? 246 What is 422686 to the power of 1/3, to the nearest integer? 75 What is 4752875 to the power of 1/2, to the nearest integer? 2180 What is 380654 to the power of 1/10, to the nearest integer? 4 What is the tenth root of 246319 to the nearest integer? 3 What is the cube root of 6649538 to the nearest integer? 188 What is 2120360 to the power of 1/2, to the nearest integer? 1456 What is 911507 to the power of 1/8, to the nearest integer? 6 What is 175023 to the power of 1/8, to the nearest integer? 5 What is the third root of 6937464 to the nearest integer? 191 What is the ninth root of 3107420 to the nearest integer? 5 What is the fourth root of 2716124 to the nearest integer? 41 What is 611213 to the power of 1/3, to the nearest integer? 85 What is the cube root of 1982680 to the nearest integer? 126 What is 12580947 to the power of 1/4, to the nearest integer? 60 What is the square root of 3805285 to the nearest integer? 1951 What is 189238 to the power of 1/2, to the nearest integer? 435 What is the square root of 675300 to the nearest integer? 822 What is 300037 to the power of 1/3, to the nearest integer? 67 What is 318372 to the power of 1/2, to the nearest integer? 564 What is 1017010 to the power of 1/2, to the nearest integer? 1008 What is 13924511 to the power of 1/3, to the nearest integer? 241 What is the third root of 35857511 to the nearest integer? 330 What is 19463848 to the power of 1/7, to the nearest integer? 11 What is 4429823 to the power of 1/9, to the nearest integer? 5 What is 435429 to the power of 1/8, to the nearest integer? 5 What is the square root of 950573 to the nearest integer? 975 What is the ninth root of 1759189 to the nearest integer? 5 What is the fifth root of 3784782 to the nearest integer? 21 What is 430914 to the power of 1/3, to the nearest integer? 76 What is the third root of 33831110 to the nearest integer? 323 What is the square root of 6866787 to the nearest integer? 2620 What is the third root of 14927589 to the nearest integer? 246 What is the square root of 367957 to the nearest integer? 607 What is the square root of 471239 to the nearest integer? 686 What is the ninth root of 2126832 to the nearest integer? 5 What is 698588 to the power of 1/10, to the nearest integer? 4 What is 3539266 to the power of 1/8, to the nearest integer? 7 What is the eighth root of 452297 to the nearest integer? 5 What is the cube root of 104965 to the nearest integer? 47 What is 400887 to the power of 1/3, to the nearest integer? 74 What is the cube root of 879155 to the nearest integer? 96 What is the cube root of 2199141 to the nearest integer? 130 What is the cube root of 3423467 to the nearest integer? 151 What is 9069467 to the power of 1/2, to the nearest integer? 3012 What is 6208312 to the power of 1/2, to the nearest integer? 2492 What is the square root of 12055226 to the nearest integer? 3472 What is the fourth root of 641263 to the nearest integer? 28 What is the eighth root of 14526438 to the nearest integer? 8 What is 237864 to the power of 1/3, to the nearest integer? 62 What is the square root of 324724 to the nearest integer? 570 What is the square root of 299623 to the nearest integer? 547 What is the cube root of 7821 to the nearest integer? 20 What is the square root of 29065363 to the nearest integer? 5391 What is 5359248 to the power of 1/5, to the nearest integer? 22 What is the ninth root of 3640406 to the nearest integer? 5 What is 6035415 to the power of 1/2, to the nearest integer? 2457 What is the ninth root of 65119 to the nearest integer? 3 What is 2427565 to the power of 1/10, to the nearest integer? 4 What is the seventh root of 1333517 to the nearest integer? 7 What is the third root of 5200297 to the nearest integer? 173 What is the seventh root of 458348 to the nearest integer? 6 What is the fourth root of 41282 to the nearest integer? 14 What is the third root of 767073 to the nearest integer? 92 What is 5713872 to the power of 1/6, to the nearest integer? 13 What is the cube root of 1744081 to the nearest integer? 120 What is 119815 to the power of 1/7, to the nearest integer? 5 What is 414759 to the power of 1/4, to the nearest integer? 25 What is the fifth root of 19739451 to the nearest integer? 29 What is 32590524 to the power of 1
{ "pile_set_name": "DM Mathematics" }
7 Let p be 5/(50/252) + 188/235. Calculate the highest common divisor of p and 26. 26 Let c be -6 - (-3 + 3) - 2. Let d be (-175)/c + 3/24. Suppose 5*j - 65 = -10. Calculate the greatest common divisor of j and d. 11 Suppose -3*t + 26 = 8. Suppose -2*b = -n - 260, -2*n = n - 12. Calculate the highest common divisor of b and t. 6 Let i be (356/(-8) + -2)*8/(-6). Suppose -i = -2*b - 2*u - 10, 5*b - 3*u = 114. Calculate the highest common factor of 6 and b. 6 Let d = 1749 - 1605. What is the highest common divisor of 192 and d? 48 Let z = 147 + -135. What is the greatest common divisor of z and 60? 12 Suppose 4*f - 3*f + 4 = 0, 3*k - 5*f - 191 = 0. Let h = 90 + -52. What is the highest common factor of h and k? 19 Let j be ((-16)/(-10) - 1)*2000/60. Let a = 550 + -310. Calculate the greatest common divisor of a and j. 20 Let h(y) = -y**3 - 7*y**2 - 2*y + 16. Let x = -71 + 64. Let t be h(x). Calculate the greatest common divisor of 270 and t. 30 Let y be 1/7 + (-4 - (-624)/42). Suppose -7*p - 2*a - 7 = -2*p, 7 = -4*p - 3*a. Let b = y + p. What is the highest common divisor of b and 10? 10 Let g(x) = -5*x**2 + 10*x - 20. Let w be g(6). Let v = -110 - w. Suppose 2*a + 7 = 31. Calculate the highest common factor of v and a. 6 Suppose y - 80 = -4*y. Let x(f) = f**3 - 15*f**2 + f - 14. Let i be x(15). Let k be 5 - (0/4 + i). Calculate the greatest common divisor of y and k. 4 Suppose -2*o + 158 = -y - 0*o, 3*o + 643 = -4*y. Let w be 24/(-36) - y/6. Suppose 5*r - 34 - w = 0. What is the greatest common factor of 60 and r? 12 Suppose x = -3*i + 34, -9*i - 3*x = -4*i - 50. What is the greatest common divisor of 39 and i? 13 Let p(o) = -8*o**2 - 8*o + 6. Let x(r) = r**2 + r. Let s(f) = -p(f) - 5*x(f). Let j be s(-4). Calculate the greatest common factor of 10 and j. 10 Let r(a) = -4*a + 3. Let s be r(3). Let q(k) = -k**3 - 7*k**2 - 5*k. Let i be q(s). What is the greatest common factor of i and 23? 23 Let g(i) = -63*i**3 - i**2 - 2*i - 1. Let w be g(-1). Suppose w = -2*m + 9*m. What is the greatest common divisor of m and 27? 9 Suppose 9*y + 38 = 12*y + r, 0 = 5*y - 4*r - 86. Calculate the greatest common divisor of y and 4382. 14 Let n = 1322 - 1304. Calculate the greatest common factor of n and 1062. 18 Let g = 721 - 514. Let v be 0 - 2 - (-32 - -7). Calculate the greatest common divisor of g and v. 23 Let u = -9 + 11. Let i = u + 34. Let a(t) = 2*t**2 + 16*t - 6. Let g be a(-12). Calculate the highest common divisor of i and g. 18 Suppose 38 = -4*d + 3*k + 14, -4*k = 3*d + 43. Let z be -3*((-210)/d)/(-5). Let f(a) = 5*a - 6. Let v be f(4). Calculate the greatest common divisor of v and z. 14 Let u = -2 - -16. Suppose 39*t = -112 + 1477. Calculate the greatest common factor of t and u. 7 Suppose -5*f + 287 + 63 = 0. Let v(z) = z**2 - 8*z + 2. Let a(l) = 1. Let r(i) = 5*a(i) - v(i). Let m be r(7). What is the greatest common divisor of m and f? 10 Let q be (-46)/(-391) + (-5574)/(-17). What is the highest common divisor of 8 and q? 8 Let b(h) = -h**3 + 4*h**2 + 4*h - 1. Let y be b(4). Let c be 3*(-5)/y + 4. Let t be (-4 + 0)*18/(-8). What is the highest common factor of t and c? 3 Let m(c) = -c**3 + 20*c**2 - 18*c - 12. Let f be m(19). Calculate the greatest common divisor of 63 and f. 7 Let n(g) be the first derivative of -3*g**2 + 10*g - 10. Let j be n(-5). What is the highest common divisor of j and 5? 5 Let g be 195/169 - 2/13. Let t(s) = 5*s**2 + 3*s - 3. Let d be t(g). Suppose d*j = i + 19 + 74, 3*i + 99 = 5*j. What is the highest common factor of j and 2? 2 Suppose -275 = -4*c + 5*k - 60, -3 = -3*k. What is the greatest common factor of c and 11? 11 Let u = 1 - -107. Calculate the highest common factor of 27 and u. 27 Let n(h) = 182*h + 30. Let t be n(3). What is the greatest common factor of t and 9? 9 Suppose -688*s = -677*s - 165. What is the greatest common divisor of s and 5? 5 Suppose 260 = 2*k + 2*k. Suppose 12*c = -653 + 185. Let l be c/12 - -3 - (-53)/4. What is the highest common divisor of l and k? 13 Let f be (-2)/(-7) - (-48)/28. Suppose 4*k = -2*j + 98, -5*j + 15 = -f*j. What is the greatest common divisor of 154 and k? 22 Let u = 121 - 97. What is the highest common divisor of 864 and u? 24 Let j(i) = 136*i**2 - 5*i + 5. Let m be j(2). Calculate the highest common factor of m and 28. 7 Suppose 17*y = 5*n + 20*y - 2397, 2404 = 5*n - 4*y. What is the highest common factor of n and 32? 32 Let h = -1560 - -1683. What is the highest common divisor of 41 and h? 41 Suppose 2*r - 20 = -2*r. Let u(a) = 6*a. Let z be u(6). Suppose -3*c = -201 + z. Calculate the greatest common divisor of c and r. 5 Let u be (-14 + 8)/(-10 + 0)*30. What is the greatest common factor of u and 63? 9 Suppose -l + 4*l = 5*g + 95, 31 = l - g. Let k be l/(-20) + 13/2. Suppose h - 64 = -z - 5, -3*z = -12. What is the greatest common factor of h and k? 5 Let n be 98 + -9 - 0 - -1. Calculate the greatest common divisor of 72 and n. 18 Suppose -3*f + 179 = -31. Let x be 4*21*((-12)/16 - -2). What is the greatest common factor of x and f? 35 Suppose 5*x - 172 = -4*f, 4 = 2*x - 3*x. Suppose -9*d + 9 = -6*d. Let j be 33 - 1/3*d. What is the highest common divisor of j and f? 16 Let u(n) = -n**2 + n + 1. Let v(a) = a**2 + 9*a - 4. Let h(j) = -2*u(j) + v(j). Let c = 12 - 18. Let o be h(c). What is the highest common factor of 24 and o? 12 Let f be 6/(-2) - 15*(-10)/15. Let w(j) = 6*j + 42. Let y be w(f). Calculate the greatest common factor of 28 and y. 28 Let r(w) = -w**3 - 7*w**2 - 9*w - 7. Let v be r(-6). Let x = v - 9. Let i be (4 + (0 - x))*23. What is the greatest common divisor of 23 and i? 23 Let z = -2 - -3. Suppose 4*x + 20 = 8*x. Suppose 0 = -3*w - x*p - 9 + 32, w - 4*p = -15. What is the highest common factor of z and w? 1 Suppose -3*r + 6*n - 2*n + 80 = 0, 5*n = -4*r + 117. Calculate the highest common divisor of r and 602. 14 Suppose 4*w - 1 = 3. Let q = w + 3. Let r(x) = x**2 + x + 44. Let p be r(0). Calculate the highest common factor of p and q. 4 Suppose 1 = 2*x - 23. Let j be 54/10 - (-6)/(-15). Let p = j + x. Calculate the highest common factor of p and 136. 17 Let k be 5/2*36/(-30). Let d be (-3)/k*-1 + -3. Let y = d + 20. What is the greatest common divisor of y and 64? 16 Let v = -132 - -135. Suppose 4*o - v*l - 358 - 310 = 0, -3*o - 2*l + 484 = 0. Calculate the greatest common factor of o and 41. 41 Suppose -2*n = -w + 2742, -3*n - 33 = -24. Calculate the greatest common factor of 144 and w. 144 Let m(k) = -k**2 + 20*k - 9. Let n be m(2). Suppose 0 = 3*r - 5*r + 8. Suppose 2*y + 18 = r*y. Calculate the highest common divisor of y and n. 9 Suppose 2*v = 2*a - 60, -v + 112 = 5*a - 44. Suppose -34*l - 449 + 1503 = 0. What is the greatest common factor of l and a? 31 Let o = -32 - -26. Let v(h) = -h**3 - 7*h**2 - 6*h + 5. Let p be v(o). Suppose -p*m - 16 = -46. Calculate the highest common factor of m and 6. 6 Let q(z) = z**2 - 12*z + 45. Let i be q(9). Let m(r) = -3*r - 3. Let l be m(-2). Suppose -54 = -0*h - l*h. Calculate the highest common factor of h and i. 18 Let o be 0 - -5 - 1616/(-24)*3. Calculate the highest common divisor of o and 9. 9 Suppose -4*l + 9 = 5*y - 0*y, -4*l = -2*y - 2. Let r be (20/30)/(y/(-3)) + 10. Calculate the highest common factor of r and 56. 8 Let s(p) = p**3 + 10*p**2 - 14*p - 20. Let c be s(-9). Let q = -2 - -19. What is the highest common factor of q and c? 17 Let d(f) = 8*f - 150. Let s be d(35). Calculate the highest common factor of 78 and s. 26 Suppose -20*f = 7*f - 108. Calculate the greatest common factor of f and 32. 4 Suppose -3*t + 14*k - 15*k + 48 = 0, -2*t + 32 = 2*k. What is the greatest common factor of 128 and t? 16 Let z(r) = r**2 - 6*r + 2. Let u be z(5). Let s be -8*(u/6 - 0). Suppose 3*k + 25 = -4*q + 85, k + s*q = 12. Calculate the greatest common factor of k and 16. 8 Suppose 3*y - 2*w = 3*w + 45, 4*w = -5*y + 38. Let t = y - 7. Suppose -o = -4*z - z + 28, 3*o = -t*z + 24. What is the greatest common factor of 30 and z? 6 Suppose c = -c - 8. Let y be -3 + 3 + c + 14. Calculate the highest common factor of y and 10. 10 Let f be ((-1248)/(-117))/(2/3). What is the highest common factor of 236 and f? 4 Let h = 35 - -10. What is the greatest common divisor of 117 and h? 9 Suppose 1 + 2 = a. Let t(j) =
{ "pile_set_name": "DM Mathematics" }
+ 3107 for l. -13 Solve -60*k + 130 + 465 = -65 for k. 11 Solve 6*m = -91 + 67 for m. -4 Solve 0 = 832*x + 164 + 798 + 702 for x. -2 Solve 193*y = 140*y - 318 for y. -6 Solve -164 = -234*w - 398 for w. -1 Solve -34*j = -489 - 89 for j. 17 Solve 4*s + 255 = 23*s - 2*s for s. 15 Solve 217 = 13*b + 126 for b. 7 Solve 106 = 41*z - 58 for z. 4 Solve -929*t + 13920 = -177*t + 176*t for t. 15 Solve -365*c + 13219 = -1125*c + 1819 for c. -15 Solve -4142 + 2000 = 228*p + 4926 for p. -31 Solve -30*o + 9*o - 31*o - 125*o = 0 for o. 0 Solve -263*f + 1450 = -313*f for f. -29 Solve 266*y - 255*y + 88 = 0 for y. -8 Solve 0 = -2610*m + 657 + 23423 + 12460 for m. 14 Solve 632*s + 264 = 620*s for s. -22 Solve -56*p - 324 + 493 = -1679 for p. 33 Solve 396 + 244 = 128*u for u. 5 Solve 10704 = 347*p + 192*p - 93*p for p. 24 Solve 22*p - 5038 = -2542 - 2540 for p. -2 Solve 60*j + 1619 - 1559 = 0 for j. -1 Solve 127 = -110*y + 39 - 132 for y. -2 Solve 111*k = -55*k + 996 for k. 6 Solve 0 = 979*f - 984*f + 5 for f. 1 Solve 0 = 548*p - 531*p - 51 for p. 3 Solve -127*v - 312 = 704 for v. -8 Solve 0 = 1342*g - 1337*g - 20 for g. 4 Solve 162*b + 1172 = -1906 for b. -19 Solve 929*q = 1029*q - 2500 for q. 25 Solve 287*t = 282*t - 40 for t. -8 Solve -27 + 223 = 14*t for t. 14 Solve 359*b + 5177 = 1587 for b. -10 Solve -12*g + 588 = -61*g for g. -12 Solve 93*i - 160 + 376 + 1551 = 0 for i. -19 Solve 23*c - 171*c + 888 = 0 for c. 6 Solve 132*l + 425 = -289 - 78 for l. -6 Solve -69*h = 59*h - 1280 for h. 10 Solve 51*a - 50*a = -23*a + 120 for a. 5 Solve -1329 - 1386 = 139*a - 352 for a. -17 Solve 365*p + 18 = 378*p - 8 for p. 2 Solve -55678*v = -55644*v + 1020 for v. -30 Solve -254*m - 89 = -165 - 178 for m. 1 Solve 14*h + 8 - 36 = -14*h for h. 1 Solve 1559 - 107 = 152*n - 86*n for n. 22 Solve -856*a + 570 = -799*a for a. 10 Solve 1125*h - 40942 = -6067 for h. 31 Solve 0 = -88*s + 63*s + 200 for s. 8 Solve -560 = 10*p - 103*p + 1486 for p. 22 Solve -7*j - 875 = -896 for j. 3 Solve 762*n = -760*n + 1529*n + 182 for n. -26 Solve 5*g + 0*g = 7*g - 4 for g. 2 Solve 5526*q - 482 = 5451*q + 418 for q. 12 Solve 0 = 9*o - 0 + 3 - 57 for o. 6 Solve 0 = -2*d - 69 + 71 for d. 1 Solve 0 = 20*i - 288 + 448 for i. -8 Solve 344*x = 341*x - 51 for x. -17 Solve 0 = -603*d - 4765 + 1750 for d. -5 Solve -677 - 1109 = 196*w + 566 for w. -12 Solve 0 = -119*l + 426 - 69 for l. 3 Solve -104*k = -407*k for k. 0 Solve -17*a - 59 + 143 = -69 for a. 9 Solve 19*k = -21 - 2 - 110 for k. -7 Solve 7437 = -666*c + 1443 for c. -9 Solve 20*g - 7*g + 2*g + 105 = 0 for g. -7 Solve 617 = -24*p - 152*p - 791 for p. -8 Solve -133*y + 441 = -112*y - 315 for y. 36 Solve -2737 + 1126 = -200*o + 1789 for o. 17 Solve -19*m = 117*m + 5 - 821 for m. 6 Solve -29*s - 216 - 2 = 43 for s. -9 Solve -368*o - 7632 = -1004*o for o. 12 Solve -204*m + 182*m + 44 = 0 for m. 2 Solve 94*w + 2193 = 595 for w. -17 Solve 4852*w - 5018*w + 3818 = 0 for w. 23 Solve 0 = -90*j - 179*j - 6136 - 2203 for j. -31 Solve -210*m + 506 = -15*m - 664 for m. 6 Solve 100*c + 467 - 181 = -914 for c. -12 Solve 228*i + 396 + 1428 = 0 for i. -8 Solve 597 + 176 = 127*p - 370 for p. 9 Solve -196*c - 719 + 4625 + 406 = 0 for c. 22 Solve -243*h = 91*h + 1852 - 12206 for h. 31 Solve -253 + 64 = 63*u for u. -3 Solve -96819*q = -96707*q - 3920 for q. 35 Solve 8715 = 240*t - 655*t for t. -21 Solve 834*u = 862*u + 476 for u. -17 Solve 8*d + 1 = -5*d + 14*d for d. 1 Solve -60*u + 56*u = 12 - 12 for u. 0 Solve -524 = 3*b + 79*b + 50 for b. -7 Solve -160*r + 672 = -112*r for r. 14 Solve 0 = -34*t - 169*t + 406 for t. 2 Solve 0 = 89*z - 103 - 967 + 2 for z. 12 Solve 94 - 1422 - 1392 = 170*n for n. -16 Solve 242*t = 98*t + 434 + 286 for t. 5 Solve -564 = -50*c - 82 + 68 for c. 11 Solve 6*t - 419 + 99 = -26*t for t. 10 Solve 10815 = 44*z + 10595 for z. 5 Solve 0 = -62*d + 374 - 2 for d. 6 Solve -112 = -4079*s - 4052*s + 8103*s for s. 4 Solve 0 = 1464*q - 1378*q - 2322 for q. 27 Solve -225*a - 1528 = -329*a - 384 for a. 11 Solve 59 - 584 = -79617*v + 79642*v for v. -21 Solve 9*j - 176*j - 668 = 0 for j. -4 Solve -159*s + 168*s = -45 for s. -5 Solve 41 - 48 = -7*r for r. 1 Solve 23*n - 153 = -84 + 138 for n. 9 Solve -15*p + 21 = -45 - 24 for p. 6 Solve 6*z + 7*z = 3*z + 100 for z. 10 Solve 1025*j = -293*j - 298*j - 45248 for j. -28 Solve 0 = 103*a - 152*a - 245 for a. -5 Solve 33 = -47*d + 14 - 75 for d. -2 Solve 2*k - 4*k - 40 = 6*k for k. -5 Solve 54*b = 75*b + 18*b + 507 for b. -13 Solve 38*k = 21*k + 14*k + 21 for k. 7 Solve 47056*m = 47036*m + 120 for m. 6 Solve 37*j = 41*j + 11 - 63 for j. 13 Solve 0 = -555*z + 4083 + 912 for z. 9 Solve 438144*u - 438068*u = -228 for u. -3 Solve 293 = 78*t - 1579 for t. 24 Solve 5*s + 4351 = 4386 for s. 7 Solve -427*k + 4008 + 689 = 0 for k. 11 Solve 251*c - 848 = 304*c for c. -16 Solve 0 = -22*w - 21 - 45 for w. -3 Solve -650*f - 966*f = 45248 for f. -28 Solve 221 = 64*y - 456 - 91 for y. 12 Solve -84*c + 210 = -105*c for c. -10 Solve -447*n = -527*n + 1680 for n. 21 Solve 191*l = 252*l + 511 + 99 for l. -10 Solve 282*v = 629*v + 7287 for v. -21 Solve -40*f - 547 = 14*f - 115 for f. -8 Solve 0 = 122*v + 87*v + 48*v + 5654 for v. -22 Solve 8*n + 744 - 720 = 0 for n. -3 Solve -42*v + 133 = -23*v for v. 7 Solve -11*h + 1310 - 430 = 69*h for h. 11 Solve 840*s - 15 = 842*s + 25 for s. -20 Solve 580*n = 567*n - 2 + 15 for n. 1 Solve 422 - 461 = -123*b + 2544 for b. 21 Solve 28*z - 72*z - 2*z = 828 for z. -18 Solve -2692 - 3228 = -2079*h + 2227*h for h. -40 Solve -38*t - 1404623 + 1405535 = 0 for t. 24 Solve -31 = 30*d + 209 for d. -8 Solve -208 = -61*h + 124 + 400 for h. 12 Solve 189 = -96*w + 2109 for w. 20 Solve -6*m + 60 = 10*m - 4*m for m. 5 Solve -27*k + 31 - 4 = 0 for k. 1 Solve -10*i + 47*i - 82 = -45*i for i. 1 Solve 289 + 1763 = -108*t for t. -19 Solve 6*k + 410 = 52*k - 234 for k. 14 Solve -60*d - 1955 = -10*d + 65*d for d. -17 Solve 0 = -651*i + 622*i - 696 for i. -24 Solve -292*m + 12 + 107 = -173 for m. 1 Solve 21*k = 11*k - 12*k + 242 for k. 11 Solve -94 = -235*g - 1034 for g. -4 Solve 373*o - 893 = 972 for o. 5 Solve -1457*d + 2540 = -1584*d for d. -20 Solve -40*u - 77 = 21 - 18 for u. -2 Solve 570 = -411*m + 354*m for m. -10 Solve 28721 + 4003 = 1212*t for t. 27 Solve 175*v - 12*v - 1 + 164 = 0 for v. -1 Solve 1646*w = 1635*w - 106 - 4 for w. -10 Solve 816*w - 113 = 763*w + 46 for w. 3 Solve 39*i = -177*i + 216 for i. 1 Solve -62*w - 27 + 6 - 165 = 0 for w. -3 Solve 121*q = 128*q for q. 0 Solve 800 = 2580*t - 2620*t for t. -20 Solve 3*p - 145*p = -100 - 326 for p. 3 Solve 1607*k = 1507*k + 2700 for k. 27 Solve -42*y = -1190 + 602 for y. 14 Solve 11*f + 16087 = 16087 for f. 0 Solve 12*j = -210 + 162 for j. -4 Solve 24*g = -6944140 + 6943420 for g. -30 Solve 62 = -o - o + 44 for o. -9 Solve 583*l - 167*l = 8736 for l. 21 Solve -516*j - 9095 - 1894 = -109*j for j. -27 Solve 0 = 28*m + 56 for m. -2 Solve 2615 = -13*q + 2576 for q. -3 Solve 435 = -6*j - 81*j for j. -5 Solve -102*o = -111*o + 180 for o. 20 Solve 111*p - 1800 - 1014 = -291*p for p. 7 Solve 1070 - 23 = -127*g - 604 for g. -13 Solve -961*z + 972*z = 165 for z. 15 Solve -80*h + 44*h - 1740 = 109*h for h. -12 Solve 7932 = -173*y + 12949 for y. 29 Solve 263*k + 980 = 228*k for k. -28 Solve 27*z + 24*z = 56*z + 30 for z. -6 Solve 352*o = 378*o + 468 for o. -18 Solve 72 + 27 = -16*g + 35 for g. -4 Solve 3*i + 715 = 679 for i. -12 Solve -609*a - 51 = -617*a + 5 for a. 7 Solve -2851*q + 2818*q + 165 = -66 for q. 7 Solve 23*u = 675 - 928 for u. -11 Solve -b + 9*b + 191 = 39 for b. -19 Solve -271*o + 288*o = 170 for o. 10 Solve -4688*c + 4707*c + 57 = 0 for c. -3 Solve 7296 = 211*n + 93*n for n. 24 Solve -98*v - 69*v + 420 = -125*v for v. 10 Solve -1693*p - 17643 = -1315 + 24304 for p. -24 Solve -545*g + 503*g = 1050 for g. -25 Solve 0 = 41*m + 84*m - 38*m - 870 for m. 10 Solve -12776*b + 12741*b = -875 for b. 25 Solve -454*h + 347*h + 535 = 0 for h. 5 Solve -21*r = -175 + 490 for r. -15 Solve 12*l = -23*l + 385 for l. 11 Solve 516*j - 108 = 525*j for j. -12 Solve -5028*m + 5010*m = 90 for m. -5 Solve -87 + 204 = -39*s for s. -3 Solve 101*c - 1036 = -109*c + 62*c for c. 7 Solve -1338*m - 4256 = -31016 for m. 20 Solve 58*k + 12404 - 11940 = 0 for k. -8 Solve -16261 = 32
{ "pile_set_name": "DM Mathematics" }
4496 for z. -36 Solve 1785*l - 4530*l + 3497 - 24842 = 52770 for l. -27 Solve -1413*t + 2046 = -1479*t for t. -31 Solve -10162*t + 262*t + 155638 = -339362 for t. 50 Solve -269*w - 1641 = 9926 for w. -43 Solve 57*a - 213*a - 12480 = 0 for a. -80 Solve 195296*b + 3876 = 195182*b for b. -34 Solve 817*u = 19030 + 14346 - 2330 for u. 38 Solve 19*q + 63*q + 199 = 691 - 82 for q. 5 Solve -13747 = 4950*b - 231547 for b. 44 Solve -72*t - 873*t = -242*t + 1406 for t. -2 Solve 0 = 16028*m - 31949*m + 16026*m + 4200 for m. -40 Solve 1472 + 592 = -372*m - 18*m - 2616 for m. -12 Solve -469222 - 1869711 = 15010*t - 327593 for t. -134 Solve -348*b - 170 + 263 = -255 for b. 1 Solve -2513*q - 78851 = -183*q + 25999 for q. -45 Solve -99725 - 62260 + 18227 = -968*n - 20822 for n. 127 Solve 7629*n + 3948 = 7770*n for n. 28 Solve -385*r - 139*r = -11683 - 7705 for r. 37 Solve 0 = 349*z - 889*z - 405*z - 556*z - 88559 for z. -59 Solve 450757 - 162486 = 5323*f - 472*f + 2180*f for f. 41 Solve 86 = 207*u - 146 + 3337 for u. -15 Solve -314*o + 5163 + 28729 = 6888 for o. 86 Solve 342*j - 13902 = 333*j - 322*j for j. 42 Solve 1961*u + 105*u = -523*u - 51780 for u. -20 Solve 0*g = 8*g + 3364 - 3444 for g. 10 Solve -18*l - 5148 = -314*l + 16164 for l. 72 Solve -10940 = 1675*x + 32610 for x. -26 Solve -700*w = 2818*w - 186454 for w. 53 Solve 3091 + 1319 = 118*a - 27*a - a for a. 49 Solve 328112 + 211996 = 6668*x for x. 81 Solve 394*p + 1598277 - 1612461 = 0 for p. 36 Solve 0 = -2720*b - 145*b + 191955 for b. 67 Solve -399*d - 32433 = -1269*d + 34430 - 13793 for d. 61 Solve 393*v - 1104207 + 1141149 = 0 for v. -94 Solve -2263*w - 2240*w = -4432*w - 3337 for w. 47 Solve 46*t = 115*t + 166*t + 79*t - 15072 for t. 48 Solve -29*m = 114*m + 291 + 948 + 763 for m. -14 Solve -19486 - 18564 - 6651 = -764*p + 4195 for p. 64 Solve -115593 - 95256 = 306*g - 3453*g for g. 67 Solve 163137 = -2010*q + 177*q for q. -89 Solve 3*t + 0*t = -30*t - 877 - 278 for t. -35 Solve -769*n - 427*n = 23460 + 16008 for n. -33 Solve 38*d + 8 - 2262 - 903 = -117 for d. 80 Solve 0 = 357*v + 374*v - 3754*v - 1057*v - 342720 for v. -84 Solve 1457*h + 2174*h - 262625 - 349507 = -1646*h for h. 116 Solve -53*y - 466 + 281 = -2782 for y. 49 Solve 8316 = 447*a + 17703 for a. -21 Solve -76918 - 182567 = 159*a - 3390*a - 43008 for a. 67 Solve -236 + 983 + 2293 = -1003*d + 31 for d. -3 Solve -65290*b + 65185*b = 1575 for b. -15 Solve -171*y - 2648 - 1437 = -416 + 2316 for y. -35 Solve 24*k + 7115 = 6779 for k. -14 Solve -3807*q = -7660*q - 10461*q + 295827 + 190849 for q. 34 Solve -887*m - 15740 = -12712 - 89067 for m. 97 Solve 0 = 9138*c + 7849*c - 1664350 + 609271 - 371829 for c. 84 Solve 54*b - 1278*b + 15718 = -38138 for b. 44 Solve -71*s + 863*s - 107994 = 147*s - 233*s for s. 123 Solve 5920 - 3913 = 142*i - 11199 for i. 93 Solve 8147*p = 2910*p + 47133 for p. 9 Solve 16*q - 51625 = -89*q - 51310 for q. 3 Solve -203*b - 85971 = -78663 for b. -36 Solve -609*j - 3248 = 367*j - 164*j for j. -4 Solve -596431*z = -596422*z - 846 for z. 94 Solve 4933 = -7149*u + 7043*u - 1745 for u. -63 Solve 36155 = -27*s + 18550 + 19495 for s. 70 Solve 116*b - 1109 - 7339 = 84*b - 96*b for b. 66 Solve -19207 = -247*a + 4752 for a. 97 Solve 2008*k + 1085 = 2039*k for k. 35 Solve 19*h = 15867 - 15183 for h. 36 Solve 5923*w + 31525 = 8348*w for w. 13 Solve 247*v - 990 = 285*v - 154 for v. -22 Solve 34086 = -84839*h + 83965*h for h. -39 Solve -36*d - 1764*d = 1100*d + 72500 for d. -25 Solve -22863 = 469*f - 1298*f - 2062*f - 69119 for f. -16 Solve -68*y - 200*y + 15863 + 1298 = 2689 for y. 54 Solve 1725*l + 14398 = 946*l + 8627 + 63417 for l. 74 Solve 4385*b - 14442 = 430*b - 3266*b for b. 2 Solve 2404*w + 88881 - 2911 + 60674 = 0 for w. -61 Solve -426 = -439*l - 310*l + 323*l for l. 1 Solve -118881 + 59889 = 94*n - 59650 for n. 7 Solve 49*g + 509 = 250 + 259 for g. 0 Solve 19566*q - 2375 = 19441*q for q. 19 Solve -8824*d - 31743 = 1757*d for d. -3 Solve 0 = 8317*m + 235222 + 263798 for m. -60 Solve -420*o + 19*o + 4816 = 287*o for o. 7 Solve -1305589*x + 1305579*x + 370 = 0 for x. 37 Solve -7306 + 3105 = -211*k + 3184 for k. 35 Solve -34*t = -146*t - 608 + 48 for t. -5 Solve -62*b + 645 = -33*b - 225 for b. 30 Solve -297*p - 533*p + 79139 + 44317 = 456*p for p. 96 Solve 665426 = 3126*r + 3953*r for r. 94 Solve -81*t - 147*t - 16360 + 615 = 7*t for t. -67 Solve -6337 = 192*h + 1727 for h. -42 Solve 140903*b = 140992*b - 12282 for b. 138 Solve 288*u + 11800 = -61*u + 54*u for u. -40 Solve 4882816*n + 4752 = 4882904*n for n. 54 Solve 21185 = 461*x + 1345*x + 6737 for x. 8 Solve 0 = 2269*q + 42026 + 41927 for q. -37 Solve -38*t + 138 - 1709 - 250 = 117 for t. -51 Solve -238*h - 548 - 2855 = -3256 + 2947 for h. -13 Solve -22713*r - 214223 - 356247 = -5283*r - 117290 for r. -26 Solve 19480*u = 19594*u - 10125 - 1731 for u. 104 Solve 408*h = -24*h - 156*h + 11760 for h. 20 Solve -108*k - 2742 - 7352 = 116*k - 18*k for k. -49 Solve 114433*d = 114508*d - 1630 - 3770 for d. 72 Solve 434*z + 5010 + 632 = 0 for z. -13 Solve -160 + 6455 + 1902 = 209*f - 163 for f. 40 Solve 681*m + 5437 = -262*m - 497*m - 40643 for m. -32 Solve -699*a + 1735*a - 13415 = 8531 - 3298 for a. 18 Solve 14819613*u - 14819362*u - 20080 = 0 for u. 80 Solve 778*c - 18110 + 3328 = 0 for c. 19 Solve 31052*o - 30788*o + 2672 = 23000 for o. 77 Solve 1354*k + 1281*k + 2318 = 2757*k for k. 19 Solve -64734 = -47*c - 66614 for c. -40 Solve 739*l = -16874 + 39344 + 18914 for l. 56 Solve 0 = -5330*r + 5267*r + 1764 for r. 28 Solve -151*h + 1997495 = 1991153 for h. 42 Solve 393*v + 7 - 801 = -217*v - 184 for v. 1 Solve 0 = -1422*h + 239*h + 34307 for h. 29 Solve 5107*o + 981*o + 907*o = 638*o + 133497 for o. 21 Solve 1020*s + 764*s + 6670 + 15538 = -9904 for s. -18 Solve -373*h - 945 = 151*h - 7757 for h. 13 Solve 0 = 26*q - 81255 + 82451 for q. -46 Solve -582*n - 572*n = -1134*n + 1360 for n. -68 Solve 0 = 136*l - 1199 + 2067 + 3892 for l. -35 Solve 123*v - 5829 = -1454 + 1037 for v. 44 Solve 306*i - 7070 = -338 for i. 22 Solve 7*x + 3960 = 5*x + 73*x + 149*x for x. 18 Solve 40633 - 15953 = -1234*x for x. -20 Solve -57*y - 104 + 1988 = -12*y + 112*y for y. 12 Solve 0 = -135*m - 1961*m + 8445 - 49073 - 49500 for m. -43 Solve -987*v + 5360*v + 520220 = -2595*v - 7092*v for v. -37 Solve -2338*t = -2309*t + 1450 for t. -50 Solve 336*p + 60 = 3774 + 1084 + 3602 for p. 25 Solve 4078*u + 63100 - 20010 = -231*u for u. -10 Solve 10002*u + 3846*u + 667177 - 1955041 = 0 for u. 93 Solve 281*j - 4534 = -10716 for j. -22 Solve -6140*y - 730*y - 424569 = 6781*y + 735766 for y. -85 Solve -761*v - 279*v + 195*v = 110*v - 42020 for v. 44 Solve -170*a + 334217 + 324201 = 670998 for a. -74 Solve -33*c + 653*c = -3625*c - 213*c + 8916 for c. 2 Solve 0 = -2394*l + 1595*l - 19190 - 7177 for l. -33 Solve 3851*v + 967428 = -11829*v - 758835 + 534583 for v. -76 Solve 0 = 870*p - 297*p - 31331 - 17374 for p. 85 Solve -1411194*f - 100491 = -1410377*f for f. -123 Solve 0 = 51*w + 12*w - 328*w - 3975 for w. -15 Solve -2827 = -473*u + 1388 + 1934 for u. 13 Solve -7*s = -100*s - 90*s - 670 - 3722 for s. -24 Solve 404079 - 406455 = 66*k for k. -36 Solve -20353*b = -10178*b - 10195*b + 580 for b. 29 Solve 75227 - 126652 = -605*s for s. 85 Solve 419*j - 1602 - 1591 = 4349 for j. 18 Solve -326*n - 551*n = -96*n - 781 for n. 1 Solve 648*f - 1414 + 11225 = -14813 for f. -38 Solve 0 = -6039*l + 3483*l - 189144 for l. -74 Solve 805*m + 105*m + 59677 - 7393 + 45996 = 0 for m. -108 Solve -3362*w + 4495*w + 436260 = -5477*w for w. -66 Solve 0 = -1975*s + 8560*s - 401685 for s. 61 Solve 231 + 83 - 130 = 11*a - 300 for a. 44 Solve -2451 - 1437 = 34*s - 3174 for s. -21 Solve -104*r + 15*r = 4*r - 3441 for r. 37 Solve 0 = 1094*g + 1266*g + 449*g + 50562 for g. -18 Solve 4119 = 2874*w - 53361 for w. 20 Solve 34*t + 100 - 1589 = 515 - 168 for t. 54 Solve -272*c - 76*c = -45*c - 12726 for c. 42 Solve -393*f + 7*f = 651*f - 239*f + 36708 for f. -46 Solve 104*n + 2397 = 586*n - 8689 for n. 23 Solve 1244*c + 42198 + 68290 = 32116 for c. -63 Solve -457*x + 579*x = -4636 for x. -38 Solve 311*g = 8501 + 1652 + 7574 for g. 57 Solve 481*p - 3010 = 4686 for p. 16 Solve -2949*t - 67531 = 6033*t + 112109 for t. -20 Solve -22040*i - 3894
{ "pile_set_name": "DM Mathematics" }
True Suppose -3*i + 18 - 15 = -z, -2*i + 2 = z. Suppose 5*f - 8 + 3 = z. Let o be (5/7)/(36/21). Is f >= o? True Let x = -14340 + 14020. Is x greater than -1? False Let x be 12/(-15) + (-180602)/(-365). Is x equal to 488? False Let w = 7938 + -7939. Is w at most -7/1451? True Let a be (30/5)/12 + (-38)/(-16). Suppose -4*u - 4*r + 31 - 7 = 0, -3*r + 10 = -u. Which is bigger: u or a? a Let g = 363.6 + -359. Which is bigger: 8 or g? 8 Let c be (1152/564 + -2)*(-1046)/328. Let j = 6/41 + c. Which is smaller: j or 0? 0 Let l = -207 + 210. Suppose 20 = 5*g - 0*g. Suppose 10 = g*v + v. Is l less than v? False Let h = 9006 - 9004.31. Is 0.32 != h? True Suppose 0 = 3*h + 4*t - 3, 0 = 4*h - 0*t + 2*t - 4. Let x = -598 - -11366/19. Is h > x? True Let s = -388/7 - -96231/1736. Let h = s - 5/248. Suppose 5*c + 2*q - 9 = 0, 0*c - 8 = -4*c - 2*q. Which is smaller: h or c? h Let r = -216 + -316. Let c = r + 4772/9. Suppose 3*j - 2*k = -17, -611*k + 612*k = 5*j + 19. Which is bigger: c or j? c Let p = -47713/2 - -548653/23. Which is smaller: -1 or p? p Let t = -147937234223/183 + 808398108. Let b = t - -2079. Which is bigger: b or 0? 0 Suppose 12*i - 16*i + 2051 = -5*o, -o - 5*i = 445. Which is bigger: -404 or o? -404 Suppose -4*k + 1290 = -o, 0 = -o + k - 556 - 746. Which is bigger: -1304 or o? -1304 Suppose 4*n - 188 = 4*j, -282*j + 2*n = -285*j - 176. Which is smaller: j or -72? -72 Suppose -5*g - 21 = -5*j + 4, 2*j - 5*g = 13. Which is greater: j or 42? 42 Let y = 3216/11 + -1903883/6512. Is y not equal to 1? True Let y = 14.3 + -135.8. Let w = -121 - y. Which is smaller: -7.8 or w? -7.8 Let c(f) = 928*f - 229. Let a be c(-7). Let m = 87509/13 + a. Which is bigger: 6 or m? m Let m be 1683/(-63801)*6/4. Which is smaller: m or 1? m Let i = 47 - 20. Let c = i + -30. Let j be -2 + c + 6 + (-4)/2. Which is smaller: 4/39 or j? j Let v = -328858/23 - -14296. Which is smaller: -11 or v? -11 Suppose -6*x + x = 105. Let v(o) be the first derivative of o**4/4 + 22*o**3/3 + 23*o**2/2 + 15*o + 1641. Let i be v(x). Which is bigger: i or 1? 1 Let h = -941805/16 + 58863. Suppose 0 = -j - 3*j + 8. Suppose -z - 2 = 3*z - y, -y + j = 5*z. Which is greater: z or h? h Let a = 4997 - 4726. Are 267 and a equal? False Suppose -19*o + 51*o = 25*o + 14. Is o smaller than -1/23? False Let t(i) = i**3 - 17*i**3 + 9*i**3 + 5*i + 1 + 8*i**3. Let j be t(0). Suppose 6 = -0*h + 3*h. Which is greater: j or h? h Let i(h) = 3*h - 17. Let z be i(25). Let x be (-4 + 1 - -2)/(-1) - -57. Is x less than or equal to z? True Let r be 28 - 2 - 92492/3553. Is r >= 0? False Suppose -3*n - 6 = -4*c, 8 = 4*c + 13*n - 15*n. Let k be (-34)/51*c/108. Is k bigger than 0? False Suppose 3*o - 352 + 358 = 0, 4*v - o + 2 = 0. Which is bigger: -27/19 or v? v Let h = 48472 + -48533. Is h <= 236? True Let t = 28.068 - 0.068. Let g = 48 - 20. Let b = t - g. Which is smaller: b or 16? b Suppose 45*r - 47*r = -26. Suppose -1930 = 3*n - r*n. Is 0.1 greater than n? False Let k = -175 + 183. Let b = 7 - k. Is -3/70 > b? True Let g = 671.155 - -0.845. Let y = 571 - g. Does -1 = y? False Suppose -3*i + 4*i = -4*o - 59, 2*o = -4*i - 292. Let p be (-292)/4 - 3/1. Is i >= p? True Let z(w) = 16*w + w**3 - 65 + 50 - 16*w**2 - 2*w**3. Let d be z(-17). Suppose -12 = -v - d*v. Are 1 and v non-equal? True Let h = 363.14 + -360. Let a = -0.03 - -0.17. Let f = a - h. Which is smaller: 7 or f? f Suppose 109*q - 490 = 102*q. Suppose -q*i = -77*i - 140. Is -20 > i? False Suppose 110*h = 106*h + 3632. Suppose 5*c - h = 3*a, -296 = -4*c + 2*a + 432. Are 183 and c non-equal? True Let u be (1 - (-9)/(-8))*234. Let l(v) be the second derivative of -v**5/20 - v**4/3 + 5*v**3/3 + 5*v**2 + 2*v - 27. Let p be l(-4). Is u bigger than p? True Let u = 211 - 217. Let o(r) = r**2 - 3*r - 36. Let i be o(u). Let p = 0 - 0.1. Are i and p non-equal? True Let k = -112.5 - -114. Let f = 238/87 + -2/29. Which is greater: k or f? f Let b(y) = y**3 + 2*y**2 - 5*y - 2. Let w be b(2). Let h be (-1 - -1) + 0 + (w - 3). Suppose 2*v = -6 + 8. Is v greater than h? False Suppose -195*c - 96 = -187*c. Let g(t) = -5*t - 113. Let d be g(c). Are -53 and d nonequal? False Let k = -0.1541 - -31.1541. Which is smaller: k or 2.1? 2.1 Let m be 4/242*((-4)/1 - -5). Let l = -129/484 + m. Which is smaller: 0.04 or l? l Let u = -282869/9004 + -5/6753. Do u and -31 have different values? True Let b(r) = -r**3 + 9*r + 102. Let g be b(0). Which is smaller: 2732/27 or g? 2732/27 Let j be (-48)/(-72)*(2*3)/(-1). Let k be (j/(-16 - -4))/((-3)/(-108)). Suppose -2*o + 0*o + 24 = 0. Do k and o have the same value? True Let s(a) = -9*a - 59. Let q be s(-7). Suppose -4*y - u + 331 = 0, 3*u = q*u + 1. Is 83 at least y? True Let t = -1211.018 + 1211. Which is smaller: -0.071 or t? -0.071 Let b be 2/(-7) - 463/(-28). Let c(o) = 176*o**3 - o**2 + 5*o - 2. Let n be c(1). Let h = 193 - n. Is b greater than or equal to h? True Suppose -211337 = -56*l - 24801. Is 3331 <= l? True Let j = 11/369 + -11075/12546. Let l = j + -1187/442. Which is greater: -5 or l? l Suppose -v - 2*v + 12 = 0. Suppose d = 3*y - 4, -v*y - 4*d + 0*d = 0. Let h be 1*10/6 + -2. Is y less than h? False Suppose 3*h - 166 = -55. Let q(v) = -v**2 - 32*v + 7. Let r be q(-31). Are r and h nonequal? True Suppose 370*g + 236*g = -1212. Let p = 0.14 - -1.86. Do g and p have the same value? False Suppose 3*m = 2*p - 0*p - 40, 4*m + 8 = 0. Let j = 20 - p. Suppose -8 = -3*k - 2. Is j at most as big as k? False Let l = -163 + 154.7. Let p = 4.25 + -12.55. Let w = p - l. Is 31 greater than or equal to w? True Let o be (-167)/(-140) - 16/20. Let a = 428 - 427. Are a and o unequal? True Let j(d) = -11*d**2 - 4*d**2 + 2*d + 0 + 0. Let b be j(2). Let t = b - -48. Which is greater: -6 or t? -6 Let y = 90 + -264. Let j = y + 229. Which is bigger: 57 or j? 57 Suppose -522 = -20*t + 718. Is 34 at most t? True Let v be (-252)/(11 - 2445/45). Is v less than 7? True Suppose -18 = 6*a - 48. Suppose 762 = a*l + 3*n, -5*l = 2*n - 5*n - 738. Which is bigger: 149 or l? l Let g be (11/(165/(-48)))/((-2)/5). Suppose 2*m + 4 = 4*l, l + g*m - 1 = 4*m. Let f = -657/5 + 131. Which is bigger: l or f? l Let l(d) = -4*d**2 + 679*d - 94. Let c be l(29). Is c at least 16232? True Let s = -0.64 + 0.6. Let h = -309 + 271.2. Let a = -38 - h. Which is bigger: a or s? s Let t(s) = 6*s**2 - 10*s + 6. Let d be t(6). Let i = -167 + d. Which is smaller: i or -24/5? i Let h = 855.61 + -855. Let w = -31.1 - -31. Are w and h non-equal? True Let h = 631 + 425. Let a be 16/264 - 328/h. Which is greater: -13/7 or a? a Let w = 46 + -46. Suppose -2*i - n + 2*n + 152 = w, 302 = 4*i - n. Let h = i + -58. Which is bigger: h or 15? h Let o = 0.1384 - 0.106. Let w = -0.0196 - o. Is w smaller than -0.5? False Let k be (-7 - (-65)/5) + (414/(-24))/3. Suppose -9 = 4*i + 7, -i + 236 = -4*t. Is t <= k? True Let h be ((-139)/(-2))/((-7)/336*-8). Let f = 403 - h. Are -100/7 and f non-equal? True Let i = -712 + 711. Let w = -4939 + 4968.07. Let z = 29 - w. Which is bigger: z or i? z Suppose -4*z + 35 = -3*v, 2*z - 2*v = v + 25. Let t be 2/(z/(((-6)/(-5))/3)). Is 1 at least t? True Let g = 124.2 - 122. Let p = g - 1.2. Which is greater: p or -312? p Let f be (55/20)/((-2)/(-8)). Let z(x) = -x**3 + 10*x**2 + 13*x + 8. Let r be z(f). Let t be 1*r/8*4. Do t and 12 have the same value? False Let w be 280/1164*(2195/2325 - 1). Let n = w - 2/279. Which is bigger: n or 0? 0 Let r = -213 + 239. Do r and -10/9 have the same value? False Suppose r + 0*r = -n + 1, 0 = -4*n - 2*r + 6. Let j(k) = -n*k + k**2 + k - 410 + 406. Let y be j(-2). Is 2/3 smaller than y? True Let d = -804 + 820. Suppose 0*r + 4*r - 8 = -4*g, -5*r = 2*g - 1. Suppose g = 2*m + 2*n - 27, 0 = m - n - 13. Is m greater than d? False Suppose 3*k - 57 = -0. Let o be 5 - k/(19/6). Which is smaller: o or -9/8? -9/8 Let a be (-570)/50 - 6/10 - 0. Let m be (-87)/738 + (-2)/a. Suppose 3*n + 3 = -0*n. Which is smaller: m or n? n Let h = 762 + -757.91. Let g = -0.09 + h. Let c = 24386.03 - 24386. Are g and c equal? False Let c = -9921.44 + 9923. Is 0.1 smaller than c? True Let p(l) = l**3 + 17*l**2 + 12*l + 6. Let f be p(-16). Suppose -24 = -74*g + f*g. Suppose 345 - 51 = -g*i. Is -49 greater than or equal to i? True Let m be (534/(-15))/(6
{ "pile_set_name": "DM Mathematics" }
2*i - 5. Suppose 4*r - r = 9. Is n(r) prime? True Suppose 5*b - 3*b - 10 = -o, -4*b + 20 = 4*o. Suppose -801 = -5*m + 4*i - b*i, 0 = -2*i - 8. Is m composite? True Let z = 49 - 62. Let q(p) = -2*p**2 + 4*p - 4. Let w be q(4). Let n = z - w. Is n a prime number? True Let s be 7/(-3) - 1/(-3). Is -2*1*163/s prime? True Suppose -6*t = -3*t + 6. Is 1/(t/(-300 - -2)) composite? False Suppose 3*l - 5*i + 35 = 0, -4*l + 3*l = -3*i + 13. Let n be 3*l/(-18)*3. Suppose -3*x + q + 229 = -q, n*x - 407 = -3*q. Is x composite? False Let m be 2319/3 + 1/(-1). Suppose -5*w + m - 192 = 0. Let g = w + -83. Is g composite? True Suppose 2*j - 475 = 187. Is j composite? False Let n be ((-14)/(-4))/((-4)/(-168)). Let k be 1/(-2) - 10/(-4). Suppose k*l - n = -l. Is l a composite number? True Let w(u) = -u**3 - 9*u**2 - 8*u + 5. Let b be w(-8). Suppose b*f - 7 = 8, 0 = 5*x + f - 1588. Is x prime? True Let p be ((-6)/9)/(2/6). Let s be -46*(0 - 1/p). Let a = -13 - s. Is a composite? True Suppose 5*q + 4 = 9. Suppose -2*f = -13 - q. Is 10*(f/2 + 2) prime? False Suppose -7*p = 16*p - 12673. Is p a prime number? False Is (1088997/(-45))/(-7) - (-4)/(-30) prime? True Let c = -6 - -8. Suppose d = 3*p + 2*d - 528, -c*p = -5*d - 369. Is p a prime number? False Suppose -844 - 467 = -3*h. Is h a composite number? True Let s(z) = -z**3 - 3*z**2 - z. Let x be s(-2). Let m(j) = -43*j**3 + 3*j**2 + j + 1. Is m(x) prime? False Let r(w) = w**3 + 12*w**2 + 7*w + 7. Let o be r(-5). Suppose o + 1 = -y. Let g = -97 - y. Is g a prime number? False Let y be (2/3 - 0)*6. Suppose y*v + 2*z + 3*z = 24, 0 = 5*v + 4*z - 21. Is (2 + -1)*v*149 a composite number? False Is (-1)/(4/2648*-2) composite? False Suppose 0 = 3*f - 2*f + 7. Let c = f - -6. Is (-3)/(-9)*c*-669 prime? True Let a = 9 - 15. Let u = -10 - a. Is 75 - (u + -2 + 4) composite? True Let j(b) = -b. Let z be j(0). Is (-44)/(-4) - z/(-2) a prime number? True Let n = -9 - -19. Suppose -3 = 3*d - 2*d + 3*h, n = 2*d - 2*h. Suppose d*f = 195 + 96. Is f a prime number? True Suppose u + 3*u - 3769 = 5*w, -w + 2822 = 3*u. Is u composite? False Suppose f + 16 = d, 2*d + 13 - 45 = -f. Let p be (-2)/7 + d/7. Let h(q) = 2*q**3 - q**2 - 3*q + 1. Is h(p) prime? True Let q be (1 - 2) + -4 + 10. Suppose -y - q + 1 = 0. Let r(a) = -15*a - 5. Is r(y) a composite number? True Suppose -2*a - 10 = 4*j - 4*a, 2*j - 3*a = -3. Let x = j + 3. Suppose 0*u - u + 7 = x. Is u prime? True Let z be -3 + (1 - -162) - 3. Let b = z - -30. Is b a composite number? True Suppose u + d = -7 + 16, -3*d - 85 = -5*u. Is u a prime number? False Suppose -2 = -2*i, -3*n - i - 76 = -4*n. Is n a prime number? False Suppose -14*v + 20530 = -4*v. Is v a prime number? True Suppose -3*p + 18 = -3*g, 0 = -0*p - 2*p - 3*g - 3. Suppose 0 = -p*c + 154 - 43. Is c prime? True Suppose 1529 = 5*y + d, -y - 2*y = -3*d - 903. Is y a composite number? True Let f(s) be the third derivative of -199*s**4/24 + 5*s**3/6 - 5*s**2. Is f(-6) a composite number? True Suppose -5*c + 3*x + 503 = 49, 2*x + 6 = 0. Suppose 0 = 2*z - 2*l - 88, 0*l = -2*z + 3*l + c. Is z composite? False Let i = -50 + 198. Suppose 8 - i = -2*z. Suppose 0 = 5*u - 3*u - z. Is u a prime number? False Let o = -13 + 26. Suppose -2*c + 195 - o = 0. Is c a composite number? True Suppose z = 6*z - 630. Let m be (z/8)/(-1)*-16. Suppose 5*n - m = 133. Is n a composite number? True Suppose 4*h = 1246 - 18. Is h prime? True Let q = -3 - -3. Suppose -p + 4*p + 2*y = 733, q = -3*y - 12. Is p composite? True Let p be (-15)/75 + (-32)/(-10). Suppose -2*n + n - 5*w = -346, p*n + 3*w - 1002 = 0. Is n prime? True Let q be 3/5*5*1. Suppose -220 = y - q*y. Suppose -2*b - 3*b = -y. Is b a composite number? True Let h be (-9)/3*15/9. Let i = h + 454. Is i prime? True Let k be (-13)/(((-4)/2)/46). Let q = 488 - k. Is 3/(-6) - q/(-6) prime? True Let x = -12 - -169. Is x composite? False Suppose -247 = 4*f - 3243. Is f composite? True Let k = -10 + 8. Let o be (16/(-20))/(k/(-15)). Let t(u) = -4*u - 9. Is t(o) prime? False Let t(g) = -g**2 + 8*g - 4. Let h be t(8). Suppose -2*r + 10 = 3*r. Let v = r - h. Is v composite? True Suppose 17 - 5 = 4*x. Is 1/x + (-624)/(-18) a prime number? False Suppose 2*q - q + 5*f + 2 = 0, -q = -2*f - 5. Suppose -v - 148 = -q*v. Is v a prime number? False Let w be (14 + -1)*6/3. Let s = -4 + w. Is s prime? False Suppose v - 12 = -5*v. Suppose -4*l - 5*p + 594 = -v*l, -5*p - 20 = 0. Is l composite? False Let j(r) = 2*r**3 - 2*r**2 + 3*r + 6. Let t = 9 + -4. Is j(t) prime? False Let c be 0/(3/(0 - 3)). Suppose 2*s - 26 + 6 = c. Is s composite? True Let p = 1702 + -957. Is p prime? False Let s(h) be the second derivative of -h**5/20 + h**4/2 - h**3/6 - h**2 - 5*h. Is s(4) a prime number? False Let r be 1/(2027/(-676) + 3). Suppose r - 174 = 2*s. Is s composite? False Let u = -926 + 1575. Is u a prime number? False Let b be (-14)/(-4) + 3/(-6). Let u be 55/4 + b/12. Suppose -h = u - 51. Is h a prime number? True Let m = -2 + 5. Suppose 0 = m*j - 5*j + 598. Is j a prime number? False Let t(b) = 3*b**3 + 9 - 4*b**3 + 3*b**3 - 2*b**2 + 2*b. Is t(4) a prime number? True Let k(c) = 18*c**2 - 1. Let w(y) = -53*y**2 + y + 3. Let f(s) = -17*k(s) - 6*w(s). Is f(8) composite? False Let v(s) = 29*s**2 + 4*s - 5. Is v(-4) prime? True Let n(j) = -j**3 + 3. Let s be n(0). Suppose -u + 4*u - 363 = 5*q, -5*u + 605 = -s*q. Let x = u - 42. Is x prime? True Let g be (-2)/(-8) + (-88)/(-32). Let k(s) = s. Let x be k(-3). Is (-23)/(-2 - x/g) a prime number? True Let q(z) = 218*z**2 + 4*z - 1. Let r(m) = -436*m**2 - 9*m + 2. Let x(h) = 9*q(h) + 4*r(h). Is x(1) prime? False Let a = 15 - -8. Suppose 2*u - a = u. Is u prime? True Let r(a) = -4*a**2 - 3*a - 3. Let m be r(-2). Let l = -7 - m. Is l a composite number? True Is 1230/4 - 2/4 prime? True Let d(w) = -2 - w**2 + 2*w - 1 + 0*w**2. Let k be d(2). Is 5 + k - 7*-7 prime? False Let x(n) = -n**3 + 3*n**2 - 4*n + 2. Let u be x(2). Let j = 5 + u. Suppose j*c - 185 = -2*c. Is c composite? False Let g(r) = 146*r - 8. Let p be 6/(-2)*(0 + 1). Let f(m) = 73*m - 4. Let d(l) = p*g(l) + 5*f(l). Is d(-3) prime? True Suppose 0*w + 166 = 2*w. Let q = w + -43. Let t = q + -5. Is t a composite number? True Let j(l) = 158*l**2 - 3*l - 5. Is j(-2) composite? True Let g(c) = c**3 - 7*c**2 - 4*c + 11. Let j be g(9). Let u = 62 - j. Let v = -32 - u. Is v a composite number? False Suppose 3*w + 4 = 2*w, 0 = n + 5*w + 206. Is 2/(-3)*n/2 prime? False Suppose 0 = -4*n - 2*a + 174, -4*n = 5*a - 106 - 53. Is n composite? True Suppose 315 + 147 = -v. Suppose -8*x - 1100 = -4*x. Let i = x - v. Is i prime? False Suppose 3*g = -2*g + 3*v - 2, 3*v - 20 = -4*g. Suppose s = g*s - 53. Is s a composite number? False Let r = -164 + 287. Is r composite? True Suppose 5*z = -3*m + 23972, 10899 = 5*z + 5*m - 13071. Suppose -4*n - 1959 = -z. Is n composite? False Suppose -o = 4*o - 5575. Is o composite? True Is (-1 - 540)/(-7 - -6) a composite number? False Suppose 3*f + 151 = 2*j, 3*j + 3*f + 122 - 386 = 0. Is j a composite number? False Suppose -3*z + 24 = z. Let k be 2 - (-51)/z*8. Suppose k = 5*h - i, -i + 6*i - 14 = -h. Is h composite? True Suppose -3*r = -2*o + 961, -3*o + 2419 = 2*o - 2*r. Is o prime? False Let n(j) = -129*j - 74. Is n(-27) a composite number? True Suppose -210 = -2*b + 872. Is b a prime number? True Suppose 0 = -0*w - 5*w. Suppose 0 = -5*j + x + 333, w = j + j + 3*x - 140. Is j a prime number? True Let b(a) = 11*a**2 - 5*a + 5. Is b(3) composite? False Is ((-27629)/(-35))/(1/5) composite? False Suppose -g + 2213 = 4*p, -4*g = -p - 6*g + 555. Is p prime? False Let u be 1*2 - (-6)/6. Suppose 3*l = l - 3*g + 434, 12 = -u*g. Is l composite? False Let v(k) = 15*k - 2. Let z be v(3). Let u = 328 + z. Is u prime? False Let r(b) = 4*b**2 + 11*b + 9. Is r(-6) a composite number? True Let w(v) = 38*v - 1. Is w(1) composite? False Let y(d) = -11*d - 2*d**2 - d**2 + 1 + 3 + 4*d**2. Let r be y(10). Is (r/(-9))/(2/111) prime? True Is (2 - (-20)/(-8))*-402 a composite number? True Let u(r) = 11*r**3 - 4*r**2 - 2*r - 9. Is u(4) composite? True Let h be ((-6)/(-5))/((-1)/(-5)). Is -1*(-15)/h*58 a prime number? False Let g be (-6)/(-10) + 546/65. Suppose -3*p + 57 = -g. Is p composite? True Let r(n) = 2*n**3 - n**2 - 14*n -
{ "pile_set_name": "DM Mathematics" }
0/32. What is the nearest to b in 0, a, -0.07? -0.07 Let q = 3.663 - 0.063. Let r = 1.6 - q. Let u be 16/(-120)*(-1 - 5). Which is the nearest to r? (a) u (b) -5 (c) 5 a Let s = -9290.4009 - -9290. What is the nearest to 1 in -1, -2, s? s Let d = -15541 - -15543. What is the nearest to -24 in 1, d, -5, 2/3? -5 Let t = -1981 + 1979. Which is the closest to 14? (a) t (b) -3 (c) 2 (d) -1 c Let z = 38656/7 + -5522. What is the closest to 2/3 in z, 3, 1, -5/4? 1 Let s = 5461 + -5464. What is the nearest to 1/6 in 9/8, -9, 1/7, s? 1/7 Let o = 12.148 + -9.148. Which is the nearest to -0.1? (a) 2 (b) o (c) -1/3 (d) 1/88 d Let z = -22618 - -22618.2. Let d = -6.5 - -5. Let x = -1 - d. Which is the closest to 2? (a) x (b) z (c) -2 a Let l = 0.7 + -0.6. Let g be (-17)/(-51)*(-1062 + 1). Let r = g - -354. What is the closest to l in r, -1, -3? r Let g be 2/((-4)/1)*(7 + 632/(-104)). Which is the nearest to 0.1? (a) 3 (b) g (c) 3/16 c Let u be (-3 + 12 + (-637)/78)/(5/9). What is the closest to -1/3 in 3, u, 3/4? 3/4 Let u = 510.94 + -511. Let x = u + 0.56. Which is the closest to -0.1? (a) 0.1 (b) x (c) 1 a Let f be (2 - -4) + 210/(-14) - -9. What is the nearest to -2/3 in f, -0.04, 1/4, -4.3? -0.04 Let p(r) = 3*r**3 - 41*r**2 - 253*r - 3. Let k be p(17). What is the closest to 0 in k, 0, -2? 0 Let l = -5 - -4.7. Let s = -173 + 392. Let n = s + -223. Which is the closest to 23? (a) l (b) -5 (c) n a Let u = 8.6 + -8.4. Let o be (8/60)/((-12)/18). Let i(d) = 4*d + 60. Let l be i(-14). Which is the closest to 0.6? (a) o (b) l (c) u c Let p be (-2992)/21318*(-6)/4. Which is the closest to 2/13? (a) 0.1 (b) -0.3 (c) p a Let m be ((-20)/(-30))/(2 - 0). Let q = 94/25 + 847/300. Let f = q - 25/4. What is the closest to m in -3, f, 0? f Let z = -4742.94 - -4743. Which is the closest to -2/5? (a) -0.4 (b) z (c) 5 (d) 1 a Let t = -1850 - -1856. Let i = 66 - 196/3. Which is the nearest to 1? (a) t (b) 5 (c) i c Let l(q) = -q**3 + 42*q**2 - 9*q + 373. Let v be l(42). Let j = 5.31 + 16.59. Which is the closest to 1? (a) v (b) j (c) 1 c Let k = 0.12 - 0.02. Let b = -185 - -121. Let g = -63 - b. What is the nearest to g in -0.5, k, 2/7? 2/7 Let r(j) = 6*j + 60. Let m be r(-8). Let w(v) = v**3 - 13*v**2 + 12*v + 4. Let z be w(m). Which is the closest to -1? (a) 3/8 (b) -3 (c) 5 (d) z a Let c(i) = i**3 - i**2 + 2*i - 2. Let b be c(1). Suppose b = 2*n - 6*n + 12. Let q = 0.04 + 0.36. What is the closest to 2 in q, -1, n? n Let d = -7386 - -7382.1. What is the closest to -3/5 in d, -0.4, -5? -0.4 Let x be 3 - (294/162 - 2)*-15. Let m = -42.4 + 42.9. Which is the nearest to -1/4? (a) 3 (b) x (c) -0.1 (d) m c Let o = 8.778 - 8.948. What is the closest to 0 in -0.5, o, 1/5? o Let c = 0.12 - 0. Let s = 0.38 + c. Suppose 16*z + 13*z = -29. What is the closest to 0.1 in z, s, 0.01? 0.01 Let h = -156 + 155.81. What is the nearest to h in 0.3, -3/2, 2/5? 0.3 Let n = -200.0402 + 0.0402. Let s = 203 + n. What is the closest to 0.8 in s, -4, -3? s Let r be (1/21)/(2/12). Let c = -1951 + 1953. What is the closest to r in c, -3, -4? c Let o = -17827 - -17823. Which is the closest to 136? (a) -1/3 (b) -5 (c) o a Let g = -130 + 213. Let h = g + -79.1. Let j = 23112 - 23112.4. Which is the closest to h? (a) 3/5 (b) 3/4 (c) j b Let q be 8/(-6)*((-27495)/(-26))/(-15). Suppose -d = -90 + q. Let w(m) = m**2 - 3*m + 3. Let y be w(2). Which is the nearest to y? (a) d (b) 2 (c) -5 b Let s = -26818 + 26829. What is the nearest to 2/69 in s, -0.3, -5? -0.3 Let i = -453.1 + 453. What is the closest to i in -14, 4/5, 0? 0 Let k(w) = -6*w**3 + 114*w**2. Let o be k(19). What is the closest to -2 in o, 5, -2/47, -3? -3 Let x = 6 - 8. Let m = 0.1307 + -0.6307. Which is the closest to 0.1? (a) m (b) -2/21 (c) x b Suppose p = n + 8, 74 - 27 = -4*n + p. Let f = 42 + -40. What is the closest to n in -1/4, 0.4, f? -1/4 Let z = -1 - -1. Let s = 20.862 + -20.562. Which is the closest to z? (a) -1 (b) s (c) 2 b Let h be (-3 - ((-240)/144 + -1 + 0))/1. Which is the nearest to h? (a) 3 (b) -3.6 (c) -3/4 (d) 1/3 c Let h = 27.4734 - 31.4734. Let d be 3 - (-1)/(-3 + 2). What is the closest to -4 in -0.2, -29, d, h? h Let o = -2 + -4. Let y be ((-14255)/80)/(-1*(-1)/(-2)). Let q = y + -356. What is the closest to 1 in 5, q, o? q Let o be (40/(-176))/((-900)/(-330)). Let r = 6 - 8. What is the nearest to o in 0, 6, r? 0 Let c(u) = -46*u - 2. Let f be c(0). Suppose 4*v = -v - 3*p + 2, 4*p = -4*v. What is the nearest to v in 2/21, f, -2/17? 2/21 Let f be 324/10 - (-3 + 68/20). Let z be f/6*(-7 + 10). Let h be (-2)/5 + (-7)/((-35)/z). Which is the closest to 0? (a) -2/7 (b) 2 (c) h a Let p = -126 - -125.9. Let m = 5.3 - -1.7. Let n = m - 9. What is the nearest to -2 in n, -2/5, p? n Let y = 107.92 - 0.92. Let r = 111 - y. Which is the nearest to 0.1? (a) -5 (b) r (c) -0.9 c Let z = -332.7 + -309.8. Let n = -643 - z. Let p be (-2)/6*(-18)/22. What is the closest to 0 in n, -2, p? p Let n = 8.5 + -8. Let h(x) = -x**3 + 6*x**2 + 8*x - 4. Suppose -2*d + 35 = 3*d. Let u be h(d). Which is the nearest to -2? (a) -0.2 (b) u (c) n a Suppose 33 = 32*s - 927. Let x be ((-4)/s*-5)/(-2 + -2). What is the nearest to -7 in -2, x, -0.9? -2 Let p be (2 - 0 - 2) + -1. Let j = 88 - 269/3. Let h = -29444.4 + 29452.4. What is the nearest to h in -1/2, j, p? -1/2 Let q be (-5360)/4200 + (-4)/70 + 2. Let o = -0.7 - -0.8. Which is the nearest to o? (a) -3 (b) q (c) -32 b Let m = -549.8704 - 0.1296. Let f = 544.5 + m. Which is the closest to 0.1? (a) f (b) -0.4 (c) 1/7 c Let x = -7771/4 + 1943. What is the closest to x in 3, -13/3, -2/7, -5? -2/7 Let h = 5.062 + -5.362. Which is the nearest to h? (a) 0.4 (b) -2/21 (c) 3/8 b Let f(k) = 4*k + 9. Let p be f(-3). Let z = 6 + p. Suppose 3*s - 12 = -d, 0 = -3*d - 2*s + z - 2. Which is the nearest to -1? (a) -3/10 (b) d (c) -5 a Suppose 5*y - 4 = -w, -2*y + 4*w = -0*y + 16. Let k = 6.3 + -6. Suppose 51 = 11453*m - 11436*m. What is the closest to y in -4, m, k? k Let y(b) = -b**2 - 136*b - 404. Let s be y(-133). What is the closest to -7 in 155, s, -1/6, -1/2? s Let d = 138 + -137. What is the nearest to d in -0.34, -0.4, 2, -1? 2 Let j = 19430 + -19433. Which is the nearest to 1? (a) 0.3 (b) j (c) -2 (d) 33 a Let j = -4 - -4.2. Suppose 2*f = -5*d - 605, 0*f + f + 5*d + 310 = 0. Let z = f + 2654/9. Which is the nearest to j? (a) -0.1 (b) -3 (c) z a Let b = 289 + 18. Let v = 325 - b. What is the nearest to -2/5 in v, 5, 1? 1 Let q = 166.5 - 170. Let a = q + 3.5. What is the nearest to a in -0.2, -2, 1/7? 1/7 Let m(h) = -h**2 + 47*h + 673. Let q be m(58). Which is the closest to -2/3? (a) 3 (b) q (c) -2/13 c Let n = -162 - -161.6. Let s be (0 - 4)*(-3 + 1). Let q = 5 - s. What is the nearest to 0 in q, -2, n? n Let c = 2892 - 2891.7. What is the nearest to -2 in c, -0.4, -0.3, -3? -3 Suppose -27*f + 76 = -25*f. Let k = 34 - f. Let m be k/24*(5 - (-1)/(-1)). What is the closest to m in 3, -2, 4? -2 Let q be (8/(-6))/((-2)/3). Let d be 3 - 5/((-10)/4). Suppose 482*k + x = 486*k + 1, -5 = -4*k + 3*x. Which is the nearest to k? (a) -0.1 (b) d (c) q a Let t = -31 + 30.7. Let b = -327 + 464. Let f = b - 137.08. What is the nearest to f in 3, 1/3, t? t Let m be (-8)/(-70)*6/(72/30). Let j = -3.081 + 3.181. What is the closest to j in -1, m, -0.3, -3/5? m Let j = -422 - -421.8. Let b = 10 + -5. Let f(w) = -w**3 + 3*w**2. Let g be f(3). What is the closest to j in b, -2, g? g Let h = -0.189 - -0.322. Let o = -0.033 + h. Which is the nearest to o? (a) -0.01 (b) 3 (c) -0.5 a Let b = 31.05 - 31.11. What is the closest to -0.4 in b, 0.2, 1/30, 0.3? b Suppose -2*s - 120 = -110. Let n = 0.043 + -0.243. Which is the closest to -1? (a) s (b) n (c) 2 b Let q(t) = -t**3 + 11*t**2 + 2*t - 11. Let m be q(8). Suppose 7*l + 43 = m. Let n be l/21 - (-30)/105. What is the closest to n in -1, -2, -0.1? -0.1 Let o = 181 + -177. Let m be ((-1)/(-2))/((-7)/(-70)). Let h = 68 + -69. What is the nearest to -1/5 in m, h, o? h Let v = 2181 + -2182.153. Let k = v + -0.247. Which is the closest to 0.2? (a) -5 (b) -1/3 (c) k b Let v = 5 - 0. Let y = 521871.2 + -521871. What is the closest to -1 in y, v, -3, -1? -1 Let u = -884 + 89
{ "pile_set_name": "DM Mathematics" }
12940*v**2 - 72*v + 16 What is the third derivative of -4*o**6 - 582962*o**3 + o**2 + 4*o + 330227? -480*o**3 - 3497772 What is the second derivative of -k**3*p**2 - 2*k**3*p - k**3 + 12553*k**2*p**2 - 6*k**2*p - 15*k*p**2 + k*p - 9463*p wrt p? -2*k**3 + 25106*k**2 - 30*k What is the second derivative of 517896995*x**2 - 964751162*x wrt x? 1035793990 Differentiate -1794493*h*l - 26*h - 73266*l - 369 with respect to h. -1794493*l - 26 Differentiate -120680693*s**2 - 96203543. -241361386*s Find the second derivative of 90386638*p**2 - 64816*p - 1076 wrt p. 180773276 Differentiate -3*h*u + 165422828*h - 2*u - 98491751 with respect to h. -3*u + 165422828 Find the third derivative of 71*f**6 + 1579857*f**3 + 69*f**2 - 2*f + 972463. 8520*f**3 + 9479142 Find the third derivative of -286338893*u**6 + 58*u**2 - 16*u + 29907. -34360667160*u**3 What is the third derivative of -290554*i**5 + 488*i**3 + 394803088*i**2 wrt i? -17433240*i**2 + 2928 What is the third derivative of 28294768*b**3*r**3 + 2*b**2*r**3 - 110781*b**2*r + 2*b**2 - b*r**3 - b*r**2 - 6*b wrt b? 169768608*r**3 What is the second derivative of -9109099*j**3*o**2 - 2*j**3*o + 724*j**3 - 24*j**2*o - 12*j*o - 2 wrt o? -18218198*j**3 What is the third derivative of o**6 - 849644*o**4 - 9*o**2 - 11*o - 5531 wrt o? 120*o**3 - 20391456*o Differentiate 232*g**4 - 37435*g*n**2 - 54015*n**2 + 100*n + 3 wrt g. 928*g**3 - 37435*n**2 Find the first derivative of 34591763*y**2 + 51133834. 69183526*y What is the first derivative of -7034891*q - 13476429 wrt q? -7034891 What is the first derivative of -66647*c**3*d**3 + 276*c**3*d**2 + 532*c**3 + 111*c - 96 wrt d? -199941*c**3*d**2 + 552*c**3*d Find the second derivative of -61074*p**4 - 45*p**3 - 2*p**2 - 12*p - 351580. -732888*p**2 - 270*p - 4 What is the second derivative of -12117973*a**3*p + 2*a**2*p - 2*a*p + 3149163*a - 3*p wrt a? -72707838*a*p + 4*p Find the first derivative of 403474*o + 15018564 wrt o. 403474 Find the third derivative of 3*f**3*x**3 + 70*f**3*x - 1249119*f*x**3 + 44722*x**2 wrt x. 18*f**3 - 7494714*f What is the first derivative of -30827102*u**3 + 30322587 wrt u? -92481306*u**2 Find the third derivative of -63991255*b**4 + 5542203*b**2 + 5. -1535790120*b What is the first derivative of 81161*k*z + 160*k - 1704828*z + 2 wrt k? 81161*z + 160 Find the third derivative of 411692901*n**3 + 2172*n**2 + 2641*n + 6. 2470157406 What is the second derivative of 10*x**5 + 413*x**4 - 1989*x**2 + 40793548*x - 4? 200*x**3 + 4956*x**2 - 3978 What is the derivative of 4051564*p*w + 856*p + 1456 wrt w? 4051564*p What is the first derivative of -13*b*n**3 - 110744*b*n - n**3 - 37*n**2 - 35*n + 8 wrt b? -13*n**3 - 110744*n What is the second derivative of -1431*h**4 - 13342*h**3 + 322352248*h? -17172*h**2 - 80052*h Find the second derivative of 37509974*z**3 + 66406917*z wrt z. 225059844*z Find the second derivative of -831130*a**2 - 261*a - 133970. -1662260 What is the second derivative of -3527718*p**4 - 6707364*p? -42332616*p**2 What is the second derivative of -11810014*u*x**2 + 241*u*x + 59*u - 5*x**2 + 297*x + 1 wrt x? -23620028*u - 10 What is the third derivative of 63489542*p**5 - 93664896*p**2 - 2 wrt p? 3809372520*p**2 Find the second derivative of -2*c**5 + 6617128*c**2 - 22583*c - 2 wrt c. -40*c**3 + 13234256 Find the third derivative of 214*u**5 - 43426*u**4 - 2*u**2 + 1530832*u + 5 wrt u. 12840*u**2 - 1042224*u Find the first derivative of 164691957*f**3 - 167655838. 494075871*f**2 Find the second derivative of 3*l**3*y - l**3 + 13178*l**2*y + 5*l**2 + 9*l*y + 70*l - 6*y + 25 wrt l. 18*l*y - 6*l + 26356*y + 10 What is the derivative of -4613751*u + 8825574 wrt u? -4613751 What is the second derivative of -66*y**4 - 308*y**3 + 2*y**2 - 4*y + 1790432? -792*y**2 - 1848*y + 4 What is the derivative of -243279*o**2*s - 2*o**2 - 2*o + 8623555*s wrt o? -486558*o*s - 4*o - 2 What is the third derivative of 39212*t**5 - 1531*t**3 - 1685734*t**2 + 9? 2352720*t**2 - 9186 Find the second derivative of -209564*b**5 + 2*b**4 + 13*b**2 - 179411966*b. -4191280*b**3 + 24*b**2 + 26 What is the second derivative of 5026610*c**2*p - 1591870*c - 2*p wrt c? 10053220*p What is the derivative of 7020338*z + 22001027 wrt z? 7020338 Differentiate -160*n**2*q - n**2 - 22*n*q - 120*n + 82094*q - 57 wrt n. -320*n*q - 2*n - 22*q - 120 Find the first derivative of -3*f*n**2 - 16431589*f*n + 52627255*n**2 wrt f. -3*n**2 - 16431589*n What is the third derivative of 19205427*d*q**2*v**3 + 3*d*v**2 + d - 26478*q**2*v**2 + 2*q**2 + 3*q*v wrt v? 115232562*d*q**2 What is the third derivative of -29736208*l**6 - 29993528*l**2 wrt l? -3568344960*l**3 Find the third derivative of -9930776*d**3 - 98*d**2 - 1691*d. -59584656 What is the third derivative of -1959*d**4 + 31*d**3*i + 24*d**3 + 255*d**2*i + 9*d**2 + 2*d - 29*i - 4 wrt d? -47016*d + 186*i + 144 Find the third derivative of 2*c**5 + 32427636*c**4*x**2 - c**2*x**2 + 99*c**2*x - 3*c*x**2 + 850*c*x - 2*c - 2*x**2 wrt c. 120*c**2 + 778263264*c*x**2 What is the third derivative of -6105795*h**3 - 2*h**2 + 12*h - 214721 wrt h? -36634770 What is the second derivative of -2*c**2*d + 3410871*c**2 + 758587*c*d - 2*c + 2*d wrt c? -4*d + 6821742 What is the derivative of -22951344*s*u - 15301714*s wrt u? -22951344*s Differentiate 76374572*j**2 + j - 106259246 with respect to j. 152749144*j + 1 Find the second derivative of -6351545*l**2 + 5*l + 16756 wrt l. -12703090 Find the third derivative of 306265636*b**2*d**3 + 6616*b**2*d**2 + 3492*b**2*d + 2 wrt d. 1837593816*b**2 Find the third derivative of 45886835*s**5 + 209892542*s**2 wrt s. 2753210100*s**2 Find the second derivative of -581942701*k*m*y**2 + 3*k*m*y - 31*k*m + 2*k*y + 23*k - 9*m*y - 6*m wrt y. -1163885402*k*m What is the derivative of -49*v**4 - 13*v**3 + 20493*v - 18937723 wrt v? -196*v**3 - 39*v**2 + 20493 What is the second derivative of -222531*a**4 + 2651*a**3 + 1163595904*a? -2670372*a**2 + 15906*a Find the first derivative of 386660682*c**2 - 241486431 wrt c. 773321364*c Find the second derivative of 348*a*k*v*z**2 - 16186*a*v**2*z - 70*a*z**2 + 2*k*v**2*z - k - 94*v**2*z**2 - 948*v**2*z wrt z. 696*a*k*v - 140*a - 188*v**2 What is the second derivative of 33970322*b*c**2 - b + 7*c - 1285420 wrt c? 67940644*b Find the second derivative of 635734*c**2*p**2 + 26130*c**2*p + 2*c**2 - 2*c*p**2 + c*p - p**2 - 109 wrt p. 1271468*c**2 - 4*c - 2 Find the third derivative of -685548*a**4 - 719946*a**2 - 22. -16453152*a What is the second derivative of 216322214*d**2*x**3 - 112*d*x**3 + 13989*d + 2*x**2 wrt d? 432644428*x**3 What is the third derivative of 170515643*f**5 + 23*f**2 + 449202 wrt f? 10230938580*f**2 Differentiate 12495062*v + 49343887 with respect to v. 12495062 What is the first derivative of 4*m*y + 11*m + 3174848*y**4 + 446155 wrt y? 4*m + 12699392*y**3 Differentiate 41970884*z**2 - 31864222 with respect to z. 83941768*z Find the first derivative of 4195*i**4*u - 142*i*u**2 - 3*u**2 + 39395*u wrt i. 16780*i**3*u - 142*u**2 What is the derivative of 252669*d**2*o**2 + 159886*d**2 - 13*o**3 + 5 wrt o? 505338*d**2*o - 39*o**2 Differentiate 5*o**2*r**2 - 11639*o**2 - 5955*o*r - 66*r**2 - 162 with respect to r. 10*o**2*r - 5955*o - 132*r Differentiate 2*b*i**2 - 648718*b*i*v**2 + 33*b + i**2*v**2 + 51479193*i**2 with respect to b. 2*i**2 - 648718*i*v**2 + 33 What is the derivative of 3*x**3 - 516072*x**2 + 3*x + 36331709 wrt x? 9*x**2 - 1032144*x + 3 Differentiate 24236255*s + 21585202 with respect to s. 24236255 What is the third derivative of 34636329*q**5 + 2*q**4 - 3*q**3 + 171217*q**2 + 17*q + 1? 2078179740*q**2 + 48*q - 18 What is the second derivative of -296797*a**4 + 12*a**2*m - 10*a*m - 93261*m wrt a? -3561564*a**2 + 24*m What is the second derivative of 54049047*y**3 - 722702*y - 2 wrt y? 324294282*y Find the second derivative of -14886*r**5 + 6*r**4 + 468375*r. -297720*r**3 + 72*r**2 Find the first derivative of -111531*c*w + 2*c - 4934296 wrt w. -111531*c What is the second derivative of -5605138*i**2 + 6680007*i + 44? -11210276 What is the derivative of 2*d**4 + 5227148*d**2 + 8427124? 8*d**3 + 10454296*d What is the second derivative of 57786230*w**4 + 1239960*w? 693434760*w**2 What is the derivative of 105580*a*c*j**2 - 229*a*j + 51
{ "pile_set_name": "DM Mathematics" }
- 10*w + 3*w + 2. Calculate 9*c(z) - 2*d(z). -3*z Let c(j) = j**2 - j - 1. Let a(g) = -5*g**2 + 2*g + 5. What is a(p) + 4*c(p)? -p**2 - 2*p + 1 Let b(x) = 11*x**3 - 6*x**2 + 6*x + 1. Let r(d) = -d**3 + d**2 - d. Determine -b(f) - 6*r(f). -5*f**3 - 1 Let j(f) = -4*f + 13. Suppose 5*u - 4*g - 35 = 0, -2*u + 5*g + 28 = 2*u. Let t(y) = -6*y + 19. What is u*j(z) - 5*t(z)? 2*z - 4 Let x(g) be the third derivative of -g**4/24 + g**2. Let v(a) = 0 + 0 + 1 - 7*a. Give v(j) - 5*x(j). -2*j + 1 Let f(w) = 10*w + 1. Let b(v) = -3*v. Determine 12*b(k) + 3*f(k). -6*k + 3 Let t(u) = 1. Let g(b) = 6 + 4*b + 0*b - b - 2*b. Suppose -14*k = -8*k - 30. What is k*t(v) - g(v)? -v - 1 Let v(j) = j + 1. Let x(n) = -7*n**2 - n - 4. Give 4*v(r) + x(r). -7*r**2 + 3*r Let f(j) = j**2 - 3. Let i(x) = -4*x**2 + 8. Let s be ((-1)/(-2))/(6/(3 + -39)). What is s*i(h) - 8*f(h)? 4*h**2 Let k(t) = -1. Let r(i) = i - 4. Suppose -7 = 5*u - 3*b, 0*b = -5*u - b + 9. Determine u*r(l) - 2*k(l). l - 2 Suppose -i + 0 = t + 8, -i - 4 = 0. Let p be ((-8)/(-10))/(t/10). Let g(y) = -2*y. Let b(k) be the first derivative of 4*k**2 - k - 2. What is p*b(r) - 7*g(r)? -2*r + 2 Let l(u) = 5*u + 4. Let q(c) = -6*c - 5. Suppose -4 = j - 10. Suppose d = 2, 0 = 3*r + 3*d - 0*d + j. Calculate r*q(g) - 5*l(g). -g Let g(b) = b**2 - b - 1. Let i(c) = 4*c**2 - 4*c - 3. Suppose 5*h = 4*m + 13, 4*h - m + 2*m = 2. Determine h*i(r) - 5*g(r). -r**2 + r + 2 Let f(b) = 5*b - 2. Let t(r) = -21*r + 9. Determine 18*f(c) + 4*t(c). 6*c Suppose 0*s = s + 5. Let l(w) = -2*w**2 + 3*w - 6. Suppose -4*j = z - 0*j + 20, -2*j = -2*z. Let d(y) = 2*y**2 - 2*y + 5. Calculate s*d(h) + z*l(h). -2*h**2 - 2*h - 1 Suppose 2*p = -2*p + 8. Let t(l) = 7*l - 20*l + 10*l + 6. Let o(z) = -z + 2. What is p*t(v) - 7*o(v)? v - 2 Let m(n) = -40*n**3 - 5*n**2 + 5. Let o(t) = 260*t**3 + 32*t**2 - 32. What is -32*m(s) - 5*o(s)? -20*s**3 Let i(f) = f + 4. Let p(m) = m + 7. Let l = -42 - -47. What is l*i(h) - 3*p(h)? 2*h - 1 Let o(g) = -2088*g - 145. Let c(i) = 29*i + 2. Determine -145*c(l) - 2*o(l). -29*l Let i(o) = 2*o**2 - 1. Let d = 0 + -6. Let w(p) = -p**3 + 4*p**2 + p - 2. Let j be w(3). Let t(b) = 3*b**2 - 2. Calculate d*t(k) + j*i(k). 2*k**2 + 2 Let u(x) = 14*x**3 + 45*x. Let p(s) = -5*s**3 - 15*s. What is -8*p(z) - 3*u(z)? -2*z**3 - 15*z Let j(q) be the first derivative of -q**3 - 3*q**2 + 4. Let v(r) = -3*r**2 - 8*r. Let o(h) = h. Let p(g) = 3*o(g) + v(g). Give -5*j(c) + 6*p(c). -3*c**2 Let g(q) = 4*q**2 + 2*q + 2. Let v(j) = 3*j**2 + 2*j + 1. Calculate -2*g(y) + 3*v(y). y**2 + 2*y - 1 Let k(l) = 2*l**3 - 3*l - 1. Let o = 9 + 0. Suppose -i - o = -4*i. Let u(z) = -5*z + 3*z + i*z**3 - 2*z**3. Determine 2*k(p) - 3*u(p). p**3 - 2 Let d(s) = 4*s**2 - 3*s + 9. Let u(z) = 9*z**2 - 7*z + 18. Calculate -7*d(b) + 3*u(b). -b**2 - 9 Let n(s) = 5*s**2 + s - 3. Let i(b) = -6*b**2 - b + 4. What is 3*i(k) + 4*n(k)? 2*k**2 + k Let o(b) = b**3 + 3*b**2 + 8*b. Let d(n) = -2*n**2 - 7*n. Determine 3*d(j) + 2*o(j). 2*j**3 - 5*j Suppose 9 = -2*g + 3*g - 2*i, -3*i - 24 = -5*g. Let o = 1 + g. Let x be 1*o/((-4)/5). Let s(l) = 3*l + 5. Let y(n) = -2*n - 4. What is x*y(j) - 4*s(j)? -2*j Let s(z) = z**3 - z**2 + z + 1. Let g(r) = r**3 + r**2 - r + 1. Determine g(a) + s(a). 2*a**3 + 2 Let y(s) = s**2 - s - 1. Let h(d) = 26*d**2 + 6*d + 4. What is h(f) + 4*y(f)? 30*f**2 + 2*f Let a(v) = -v - 4. Let c be (-9)/(-1) - (1 + -3). Let n = -15 + c. Let r(b) = -3 + 4*b - 1 + 11 - 2*b. What is n*r(l) - 7*a(l)? -l Let k(r) = -10*r - 7. Let o(w) = -19*w - 15. Give -13*k(z) + 6*o(z). 16*z + 1 Let i(m) = -m**3 - 1. Let a(k) = k**3 - 3*k**2 - 2*k + 2. Let x(h) = h**3 + h**2 + 1. Let q(w) = a(w) + 3*x(w). Calculate -5*i(f) - q(f). f**3 + 2*f Let w(j) = -j**3 + j**2 - j - 1. Let y(r) = -r**3 + 5*r**2 - 4*r - 3. What is -3*w(q) + y(q)? 2*q**3 + 2*q**2 - q Let u(w) = w + 1. Let p(h) be the second derivative of -h**5/120 - h**4/12 + 5*h. Let s(g) be the third derivative of p(g). What is s(y) + u(y)? y Let s = -171 + 164. Let i(h) = -2*h**3 + 2*h**2 + 3*h + 5. Let y(l) = -4*l + 0*l**2 + 3*l**3 + 2*l**2 - 5*l**2 - 7. Determine s*i(f) - 5*y(f). -f**3 + f**2 - f Let t(p) = 16*p**2 - 22. Let b(g) = 1. What is 88*b(u) + 4*t(u)? 64*u**2 Suppose -47 = -5*j - 2*o, -3*o - 4 = -7*o. Suppose 0 = -2*u - j - 43. Let x(a) = -4*a - 4. Let v(q) = -q - 1. What is u*v(h) + 6*x(h)? 2*h + 2 Let i be 8 + 2 - (1 + -1). Let u(k) be the first derivative of -k + 1. Let a(z) be the second derivative of -z**3/3 + 5*z**2 - 11*z. Give i*u(g) + a(g). -2*g Let z(x) = -4*x**2 - 5*x + 5. Let q(g) = -g**2 - g + 1. What is -10*q(c) + 2*z(c)? 2*c**2 Let w(k) = 2*k**3 + 7*k**2 + 9*k. Let b(n) = -n**3 - 3*n**2 + 2*n. Let f(j) = j**3 + 3*j**2 - 3*j. Let r(h) = -7*b(h) - 6*f(h). Give -7*r(t) + 3*w(t). -t**3 - t Let i(z) = 9 - 2 + 4*z - 2. Let p(f) = 0*f - 3*f - 2 - 2. What is -5*i(q) - 6*p(q)? -2*q - 1 Let g(a) = 5*a**2 - 4*a + 2. Suppose 3*j + 0*j + 4*x = -8, 0 = 2*j + 3*x + 5. Let n(m) = -m - m**2 + 4*m - 2*m. Determine j*n(z) - g(z). -z**2 - 2 Let s(f) = 3*f - 11. Let x(o) = o - 4. Let n(b) = -3*s(b) + 8*x(b). Let l(m) = -m. Suppose -3 = -3*q, 3*a = -0*a + 3*q. Give a*n(p) - 2*l(p). p + 1 Let i(d) = 9*d**2 - 17*d - 14. Let c(m) = 3*m**2 - 6*m - 5. Determine -17*c(g) + 6*i(g). 3*g**2 + 1 Let z(u) = 11*u + 2. Let q(d) = -4*d - 1. Let l be (-18)/9*(-4 + 1). Let y = l + -14. Give y*q(h) - 3*z(h). -h + 2 Suppose 16 = -0*c + 4*c. Let l = c - 2. Suppose l*p - 3 = j, -2 = -4*j - 5*p - 1. Let u(n) = -2*n**2 + 3*n. Let k(s) = -s**2 + s. What is j*u(w) + 3*k(w)? -w**2 Let w(t) be the third derivative of t**4/8 + 2*t**3/3 + 8*t**2. Let i(m) = -5*m - 6. Give 5*i(b) + 8*w(b). -b + 2 Let c(x) = 4*x**2 - 3*x - 4. Let m(h) = h**3 - 5*h**2 + 5. Let i be m(5). Let p(f) = -2*f**2 + 2*f + 2. Determine i*p(r) + 3*c(r). 2*r**2 + r - 2 Let h(x) = 10*x**3 + 7*x + 7. Let c(g) = -7*g + 7. Let d be c(-2). Let z(b) = -3*b**3 - 2*b - 2. Determine d*z(w) + 6*h(w). -3*w**3 Let x(j) = -7*j**2 - 5*j + 4. Let a(p) = 8*p**2 + 6*p - 5. Calculate -5*a(g) - 6*x(g). 2*g**2 + 1 Let j(l) = -4*l - 2. Let i = 19 + -24. Let v(x) = 0*x - 6*x - 4 - x. What is i*j(n) + 3*v(n)? -n - 2 Let i(h) be the third derivative of -h**5/12 + 7*h**4/24 + 5*h**3/6 + 13*h**2. Let g(b) = b**2 - 2*b - 1. Give -9*g(j) - 2*i(j). j**2 + 4*j - 1 Let b(r) = r. Suppose 3*n - n = 0. Let d = n + 0. Let y(t) = 0 + 1 + 0*t - 3*t + d*t. What is 5*b(g) + 2*y(g)? -g + 2 Let o(x) be the first derivative of x**3/3 - x**2/2 - x - 8. Let z(f) = f + 1. What is 2*o(c) + 2*z(c)? 2*c**2 Let y = 0 - -13. Let s(t) be the second derivative of -t**3/3 + 5*t**2/2 + 3*t. Let h(r) = -4*r + 11. Determine y*s(z) - 6*h(z). -2*z - 1 Let s(h) = h. Suppose -3 = -2*g + 7. Let d = 1 + -3. Let k(u) = -1 + 2*u + 4*u - 3*u + 0. Calculate d*k(a) + g*s(a). -a + 2 Let j(v) = v**2 - 2*v. Let p = -4 + 9. Let g(l) be the third derivative of l**4/24 + 3*l**2. Calculate p*g(u) + 2*j(u). 2*u**2 + u Let r = -2 + 7. Let h(v) = -3*v - r*v - 2 + 6*v. Let a(j) = 2 + 0 + 2*j - 4 + 4. Calculate 2*a(b) + 3*h(b). -2*b - 2 Let d(w) = -5*w + 3. Let c(v) = 6*v - 4. Let r(m) = -m**2 + 2. Let u be r(-3). Let q = u + 11. Determine q*d(j) + 3*c(j). -2*j Let y(u) = 3*u - 7. Let j = -19 + 12. Let n(m) = -2*m + 4. What is j*n(v) - 4*y(v)? 2*v Let s(a) = 4*a - 5. Suppose 10 = -5*h - 5*c, -2*h + 22 = -2*c + 6. Let v(t) = 9*t - 11. Calculate h*v(z) - 7*s(z). -z + 2 Let n(b) = b**2 - 10. Let l be n(-3). Let p(f) = f**3 - 5*f**2 + 4*f - 3. Let x(m) = m**3 - m**2 + m - 1. Calculate l*p(d) + 3*x(d). 2*d**3 + 2*d**2 - d Let u(l) = 2*l**2 + 3*l + 3. Let o(k) = -7*k**2 - 11*k - 11. Suppose 7 = y - 5*s - 2, 3*s = 5*y + 21. Calculate y*o(a) - 22*u(a). -2*a**2 Let z(s) = 2*s - 6. Let m(c) = -c + 3. Determine 5*m(k) + 3*z(k). k - 3 Let y(r) = -2*r - 5. Let c(x) = -x - 4. Give 3*c(z) - 2*y(z). z - 2 Let t(s) = -s - 1. Let q(d) = 2 + d + 5*d - 2*d. Let l be 1 - -1 - (3 + 0 - 3). Give l*t(n) + q(n). 2*n Let r(o) = 3*o**2 - 4*o + 2. Let t(s) = 2*s**2 - 3*s + 1. Determine 4*r(w) - 5*t(w). 2*w**2 - w + 3 Let x(y) = y**2 + y. Let u(f) = 2*f**2 + 3*f**2 - 1 + f**3 - 3*f**2. Let m be -2 + (2 - 6)/(-2). Let l be -3 + 2/2 + m. Determine l*x(s) + u(s). s**3 - 2*s - 1 Let u(p) = p + 6*p - 7 + 0*p - 2*p**3. Let a(m) = 5*m**2 - 4*m - 5. Let l be a(-1). Let n(o) = -2*o**3 +
{ "pile_set_name": "DM Mathematics" }
43 AM? 8:54 AM What is 664 minutes after 4:57 PM? 4:01 AM What is 586 minutes after 10:50 PM? 8:36 AM What is 655 minutes after 5:55 PM? 4:50 AM How many minutes are there between 2:31 AM and 4:13 AM? 102 What is 576 minutes before 6:26 AM? 8:50 PM What is 587 minutes after 1:50 AM? 11:37 AM What is 687 minutes before 10:52 AM? 11:25 PM How many minutes are there between 3:21 AM and 4:53 AM? 92 How many minutes are there between 3:40 PM and 1:27 AM? 587 What is 40 minutes before 2:42 AM? 2:02 AM What is 255 minutes after 12:35 AM? 4:50 AM How many minutes are there between 5:01 PM and 11:08 PM? 367 What is 88 minutes before 11:52 PM? 10:24 PM What is 705 minutes after 5:27 AM? 5:12 PM What is 291 minutes before 10:24 PM? 5:33 PM What is 331 minutes before 8:58 PM? 3:27 PM What is 680 minutes before 4:50 PM? 5:30 AM What is 345 minutes after 11:55 PM? 5:40 AM What is 588 minutes before 3:14 PM? 5:26 AM How many minutes are there between 5:31 PM and 12:30 AM? 419 What is 560 minutes before 6:02 AM? 8:42 PM How many minutes are there between 8:19 PM and 10:27 PM? 128 What is 252 minutes before 4:36 PM? 12:24 PM How many minutes are there between 1:12 PM and 6:17 PM? 305 What is 298 minutes before 7:23 PM? 2:25 PM What is 625 minutes before 4:33 PM? 6:08 AM What is 50 minutes after 4:42 PM? 5:32 PM How many minutes are there between 9:54 AM and 12:44 PM? 170 How many minutes are there between 12:38 AM and 10:14 AM? 576 How many minutes are there between 6:31 PM and 2:58 AM? 507 What is 286 minutes before 12:38 PM? 7:52 AM What is 644 minutes before 4:47 PM? 6:03 AM How many minutes are there between 3:11 PM and 3:38 PM? 27 How many minutes are there between 4:14 AM and 4:41 AM? 27 How many minutes are there between 2:12 AM and 7:10 AM? 298 What is 636 minutes after 3:53 PM? 2:29 AM How many minutes are there between 3:19 AM and 10:52 AM? 453 How many minutes are there between 1:29 AM and 3:19 AM? 110 How many minutes are there between 5:02 AM and 8:26 AM? 204 What is 636 minutes after 1:23 PM? 11:59 PM What is 136 minutes after 3:24 PM? 5:40 PM What is 488 minutes before 4:43 PM? 8:35 AM How many minutes are there between 3:40 PM and 1:39 AM? 599 What is 371 minutes before 10:31 AM? 4:20 AM What is 641 minutes after 4:51 PM? 3:32 AM What is 678 minutes before 11:07 AM? 11:49 PM How many minutes are there between 2:21 PM and 5:45 PM? 204 What is 439 minutes after 6:11 AM? 1:30 PM What is 481 minutes before 11:13 PM? 3:12 PM What is 289 minutes after 1:38 PM? 6:27 PM What is 576 minutes after 10:56 AM? 8:32 PM How many minutes are there between 5:24 AM and 5:06 PM? 702 What is 572 minutes before 5:19 PM? 7:47 AM How many minutes are there between 5:13 PM and 12:23 AM? 430 How many minutes are there between 3:25 AM and 1:50 PM? 625 What is 715 minutes before 8:20 PM? 8:25 AM What is 583 minutes after 3:37 PM? 1:20 AM What is 376 minutes before 6:19 PM? 12:03 PM How many minutes are there between 8:07 AM and 12:37 PM? 270 What is 91 minutes before 5:32 AM? 4:01 AM What is 194 minutes after 4:38 PM? 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298 How many minutes are there between 8:59 PM and 6:44 AM? 585 How many minutes are there between 11:08 AM and 7:13 PM? 485 How many minutes are there between 11:40 PM and 3:55 AM? 255 How many minutes are there between 8:57 AM and 2:38 PM? 341 How many minutes are there between 8:37 PM and 1:52 AM? 315 What is 482 minutes before 7:39 AM? 11:37 PM What is 456 minutes after 5:11 PM? 12:47 AM How many minutes are there between 11:06 AM and 1:01 PM? 115 How many minutes are there between 9:03 AM and 8:33 PM? 690 How many minutes are there between 4:35 PM and 11:13 PM? 398 What is 587 minutes after 8:45 AM? 6:32 PM What is 186 minutes after 5:51 PM? 8:57 PM What is 405 minutes after 10:12 PM? 4:57 AM What is 279 minutes after 8:33 AM? 1:12 PM What is 473 minutes before 4:58 AM? 9:05 PM What is 204 minutes after 5:49 PM? 9:13 PM What is 492 minutes after 1:53 AM? 10:05 AM What is 298 minutes before 3:05 AM? 10:07 PM What is 672 minutes after 6:59 PM? 6:11 AM How many minutes are there between 12:16 AM and 8:32 AM? 496 How many minutes are there between 8:30 AM and 7:52 PM? 682 What is 171 minutes before 4:38 AM? 1:47 AM What is 4 minutes before 5:40 PM? 5:36 PM What is 367 minutes after 7:04 AM? 1:11 PM How many minutes are there between 4:52 AM and 4:34 PM? 702 How many minutes are there between 3:00 PM and 4:37 PM? 97 What is 556 minutes before 9:55 AM? 12:39 AM What is 657 minutes before 1:20 PM? 2:23 AM How many minutes are there between 4:05 AM and 8:19 AM? 254 How many minutes are there between 8:43 AM and 1:32 PM? 289 What is 107 minutes after 11:11 AM? 12:58 PM What is 719 minutes before 8:51 PM? 8:52 AM What is 298 minutes after 12:23 PM? 5:21 PM How many minutes are there between 6:04 AM and 6:46 AM? 42 How many minutes are there between 2:48 AM and 6:10 AM? 202 What is 697 minutes after 7:09 PM? 6:46 AM How many minutes are there between 6:03 AM and 11:26 AM? 323 How many minutes are there between 4:20 PM and 5:23 PM? 63 How many minutes are there between 10:49 AM and 10:20 PM? 691 How many minutes are there between 12:51 AM and 10:34 AM? 583 What is 120 minutes before 2:31 AM? 12:31 AM What is 687 minutes before 1:38 PM? 2:11 AM What is 305 minutes after 2:17 PM? 7:22 PM What is 570 minutes after 6:43 AM? 4:13 PM How many minutes are there between 10:36 PM and 9:20 AM? 644 What is 553 minutes after 3:55 AM? 1:08 PM What is 631 minutes after 2:19 AM? 12:50 PM How many minutes are there between 10:01 AM and 5:27 PM? 446 How many minutes are there between 7:55 PM and 2:49 AM? 414 What is 387 minutes after 4:28 AM? 10:55 AM How many minutes are there between 10:03 AM and 9:13 PM? 670 What is 688 minutes after 2:28 AM? 1:56 PM How many minutes are there between 6:40 PM and 7:28 PM? 48 How many minutes are there between 9:50 PM and 6:30 AM? 520 What is 62 minutes before 12:07 PM? 11:05 AM What is 502 minutes before 7:28 PM? 11:06 AM How many minutes are there between 2:52 PM and 9:30 PM? 398 How many minutes are there between 10:02 PM and 7:47 AM? 585 How many minutes are there between 6:11 PM and 10:50 PM? 279 What is 82 minutes before 1:39 AM? 12:17 AM What is 595 minutes after 4:18 AM? 2:13 PM How many minutes are there between 9:47 PM and 1:42 AM? 235 What is 372 minutes before 10:47 PM? 4:35 PM What is 556 minutes after 1:12 AM? 10:28 AM What is 77 minutes before 11:28 AM? 10:11 AM What is 481 minutes before 9:14 AM? 1:13 AM How many minutes are there between 9:39 PM and 8:58 AM? 679 What is 310 minutes before 3:52 AM? 10:42 PM How many minutes are there between 4:37 AM and 6:58 AM? 141 What is 60 minutes before 4:41 PM? 3:41 PM How many minutes are there between 5:18 AM and 5:27 AM? 9 What is 279 minutes after 3:45 AM? 8:24 AM How many minutes are there between 4:36 PM and 5:52 PM? 76 What is 207 minutes before 7:29 PM? 4:02 PM How many minutes are there between 3:32 PM and 1:27 AM? 595 What is 459 minutes after 6:39 AM? 2:18 PM How many minutes are there between 10:01 AM and 3:56 PM? 355 How many minutes are there between 5:28 PM and 6:56 PM? 88 How many minutes are there between 2:52 AM and 11:16 AM? 504 How many minu
{ "pile_set_name": "DM Mathematics" }
)? -7 What is the value of (4 - (22 - 1)) + 17 + -41? -41 What is (-51 + -12 - -30) + 10 + -4 + -22? -49 7 - (-12 - (0 + -10 + -7 - -9)) 11 Calculate 949 + -960 - (-6 + 2 + -74 + -3). 70 Calculate 11 - (85 + (16 - 2 - 19) + -12). -57 0 + 7 - 3 - (144 + (-62 - 19)) -59 What is -71 + 57 - -46 - (-2 - -17)? 17 Calculate -3 + -58 + (554 - 513). -20 Calculate 30 + (-47 - -4 - 22). -35 3 + (9 - 5) + 6 - (-2 - 4) 19 What is the value of -5 + 21 + -24 + (3 - 3 - 39)? -47 (-45 - (-1 + 1)) + (-21 + 27 - -1) -38 What is 3 - (-3 + 2 + -3) - (-156 - -170)? -7 Evaluate 1 + 4 + 1 + -2 - (56 + -5). -47 Calculate 6211 - 6243 - (0 - 5 - -2). -29 74 + 9 + 1 + 6 + 1 + (66 - 95) 62 What is the value of -16 + 16 - 4 - -81 - 14 - 11? 52 What is the value of -1104 + 1115 - (4 + -36 + -1 + (-6 - -3))? 47 What is (-3 + 5 - 9) + (-119 - -91)? -35 What is 6 + -79 - -48 - (-4 + 0)? -21 What is the value of (-27 - (49 + 71 + -32)) + 36? -79 Calculate -16 - -3 - (-17 + 43 + -37). -2 Calculate (3839 - 3966) + (0 - 3) + 36. -94 9 + (21 - 46 - 5) + 16 - (78 - -1) -84 86 - (67 + -86 + 78) 27 What is -53 - (-7 + -14 - -28)? -60 -7 + 16 - (-35 + 12 + -12 + -8) 52 Evaluate 24 + -2 - (-79 + (80 - -59)). -38 What is 51 + (-13 + 4 - -17) - (-2 - -13 - 3)? 51 What is -20 + 25 + -10 + -23 + (2 - -1 - -2)? -23 Calculate -59 - (-74 - (62 - 122)). -45 What is the value of (-12 - -2) + -365 + 264 + 9 + 1? -101 -19 - (-13 - (-14 + (-3 - 22))) -45 What is the value of 0 + 6 + (-412 + 394 - (-31 + -1))? 20 What is the value of 55 - ((1 - 4) + 4) - (189 + -188)? 53 What is -1 - (2 + -10) - (16 + -5 + (-12 - -10))? -2 Calculate 25117 + -25249 + (13 - -1). -118 What is the value of 17 - (-33 + -85 + 100)? 35 What is 20 - (-137 + (131 - -160))? -134 What is the value of (13 - 1 - ((23 + -21 - -14) + -13)) + 15? 24 What is 3 - (-1 - -3) - (738 - 710 - (30 - 1))? 2 What is the value of (86 - -24 - 195) + 21? -64 What is the value of -35 + 41 + -45 + 15 + (0 - 19)? -43 What is -14 - -24 - (1 - 28 - -31 - (80 + 1))? 87 What is the value of -12 + 18 + 11 - -3 - 53? -33 Calculate -18 + 13 - -2 - (-12 - 37). 46 -3 + (-11 - -6) + -7 + (32 - 36) -19 Calculate 20 + -103 + 32 + 38. -13 What is the value of -46 - (-17 - 9) - (2 - 6)? -16 Calculate (-4 - 20 - (-77 - -52)) + -64. -63 Calculate 19 - (-125 + (48 - -195)). -99 -2 + 1 + (2 - (4 - 4) - (2 + 28)) -29 What is 33 + 5 + -16 - 0 - 76? -54 Calculate -10 + -98 + 9 + 53. -46 Calculate 1 + 19 + (23 - 74). -31 Evaluate -30 + (134 - 5) + -48. 51 Evaluate -76 - -60 - (-13 + -42 + 7) - -18. 50 What is the value of (-195 - (-163 - -107)) + 245? 106 -71 - (108 - 123) - 28 -84 What is the value of 6 - (13 + -1 + -8 + -4 + -11)? 17 -11 - -1 - ((-7 - (-22 - -24)) + 0 - 56) 55 What is the value of -1 - (27 - 40 - (1 + (21 - 7)))? 27 -28 + -13 + -9 + 30 -20 Evaluate 46 - (0 + -4 + -1 - (23 - (72 - 32))). 34 Evaluate 2 + 15 + -1 - (13 + -179 - -217). -35 -10 + (18 - (63 - (-19 - -21))) - -17 -36 What is the value of (29 - 4) + -21 + -5 + 25? 24 What is (1 - 1) + (34 - -1) + 3 + -10 + -2? 26 Evaluate (-75 + -93 - -156) + (9 - 1). -4 -8 - (-42 + 17) - ((-2 - -5 - -10) + -2) 6 -25 - (9 - 15) - (24 - (13 + 2)) -28 What is the value of -2 - (-1 + (0 - -4) - ((-4 - -22) + -24))? -11 (-210 - -163) + 48 + 1 + -1 + (0 - -29) 30 Calculate (-103 - -1) + -2060 + 2217. 55 Evaluate 90 - (20 - -17) - 15. 38 Evaluate 5 + -5 + (-26 + -12 - -64). 26 What is 12 + (29 + -36 - -12) - 17? 0 Calculate (-67 - -33) + (-21 - -29) + -13. -39 What is the value of 70 - (-21 + (-10 - -23) + (-1 - (-1 - -1)))? 79 Evaluate (52 - 1) + (13 - ((0 - -6) + 50 + -42)). 50 Calculate 0 + -10 + (-6 - -16) + (-14 - -32). 18 What is (1 - 22) + -154 + 310 + -189? -54 Evaluate 3 - ((-17 + -19 - -9) + 125). -95 What is (10 - (-26 - (6 - 30))) + -8? 4 What is -121 + (91 + -33 - 41 - 10)? -114 Calculate -819 - -781 - (6 - -7 - 2). -49 Evaluate 16 + 7 + (9 - 20) - (5 + 45). -38 Calculate -2 + 50 - (-29 - (-59 + 63) - (2 + -22)). 61 Calculate -8 - -3 - ((17 - 3) + -13) - 32. -38 What is the value of 1 - 133 - (131 + -78 - 108 - -48)? -125 Evaluate -90 + (179 - (166 + -30)). -47 Evaluate 7 + 3 + (2 - -1). 13 What is -11 + (-6 + 2 + 7 + 1 - 10)? -17 What is the value of 3 + (-36 + 10 - -3) - 7 - -4 - -5? -18 Calculate -46 + (-735 + 777 - (113 + -2)). -115 Calculate (-21 + -1 + 75 - -13) + -10. 56 -83 + (50 - -21) + -57 -69 Calculate 26 + 12 + (-20 - -6 - 0). 24 Evaluate (-46 - (-51 + 30)) + -29 - 2. -56 Evaluate 14 + 144 + -36 + -191. -69 What is the value of -6 + 9 - 17 - (26 + -104)? 64 What is the value of (-23 - ((203 - 178) + (29 - -3))) + 1? -79 -4 - ((-47 - -10 - -16) + 49) -32 (12 - 16) + (2 - (30 + 4 + (-5 - 3))) -28 -6 + (-32 - -62 - 34 - (-7 - -3)) -6 Evaluate -8 + 21 + -7 + 20 + -20 + 80. 86 Calculate (3 - (-20 - -21)) + -29 - -17. -10 Evaluate (30 - (-4 + 1)) + 3 + 46 + -41. 41 Evaluate -4 + (-8 - 3) + -6 + 17 + -10 + 7. -7 (-235 - -237) + -2 + -37 -37 What is 51 - (-5 + (32 - -8)) - 100? -84 -5 + (21 - 13) + -20 - 3 -20 Evaluate 13 - (55 + -48 + 31). -25 Evaluate -75 - -69 - (7 - -1) - 4. -18 What is 2 + -2 + -170 + 176 + -17? -11 What is the value of 91 + -3 + (-4 - -58) + -87? 55 Evaluate 45 + 1 + -52 + 13 + 30. 37 Evaluate (3 - -75) + 1 - (216 + -225). 88 56 + (-8 - 80) + 18 -14 (-7 - -3 - -2) + 40 + (-5 - 14) 19 Calculate -53 - (46 + -141) - 51. -9 What is 8 + (-125 - -101 - (-67 + 1)) + (2 - 6)? 46 What is -41 + 22 + -52 + 44? -27 Evaluate -3252 - -3224 - (-121 + -2). 95 What is the value of (-13 - 12) + 0 + 30 + -22 + -8? -25 (6 - 1) + -42 + (-39 - -81) - (-5 + 9) 1 Evaluate 23 + -17 + (10 - (-8 - -33)). -9 Calculate (13 - 13 - -4) + -17 - 18. -31 0 - 1 - (-2 + -3) - (26 - (-4 + -14)) -40 What is the value of -5 - (10 - -53) - -65? -3 Evaluate (16 - 6) + -1 + (-2 - (-9 + (6 - -96))). -86 Evaluate -16 + -25 + -4 + 165 + -52. 68 14 + -1 + (54 - -10) + -30 47 42 + -66 - -79 - 52 3 0 + 7 + -27 + (1 + -6 - (19 + -26)) -18 Evaluate (8 - -4) + (-2 + -2 - (-8 - (99 + -11))). 104 What is 32 + ((-12 - -11) + -3 - 8) + 4 + 20? 44 -33 + (50 + -51 - -23) -11 What is the value of -29 + 6 + 11 + (-2 - -5) + -13? -22 -10 - (19 + (-51 - -10)) - 48 -36 What is -3 - (72 - 53) - (-19 + -2)? -1 What is -28 + (6 + (-1 - 7) - (-2 - 10 - -6))? -24 Calculate 48 - ((0 - 0) + 2) - (589 + -580). 37 Calculate 90 - ((-57 - -76) + 26). 45 Evaluate -72 + 49 + -1 - -27. 3 (66 - 37) + (25 - 0) 54 Evaluate (136 - -18) + -79 - (25 - 1). 51 What is -90 + 95 + -13 + -1 + 24 + 1? 16 2 + -22 + (-7 - -25) + -11 -13 What is the value of -9 - -5 - -51 - ((-13 - 0) + 33 + -14)? 41 Evaluate -3 + -45 + (-22 - (20 - (90 - 35))). -35 Evaluate 8 + (17 - 21 - -3) + 9. 16 What is the value of (10 - (54 + -44)) + (-4 + 3 - -62)? 61 What is the value of 88 + -55 + (-52 - -127)? 108 Evaluate -10 - (71 - 35 - 37 - (2 + -40)). -47 (4 + -3 - (20 - 10) - (7 + -7)) + 0 -9 -97 + (-5 - (-1 + -5 + -267 + 270)) -99 What is the value of 53 + 15 - 89 - (-68 - 0)? 47 -10175 + 10171 + (0 - -95) 91 Evaluate (-12627 - -12612) + (-3 + 0 - -1) + 8. -9 Calculate 8 - (7 + -9) - (-10 - (12 + -17)). 15 Evaluate 13 + (12 - (16 + 7)) - 39. -37 What is the value of 56 + (96 - 41) + -58 + 0 + -5? 48 10 - (37 - (33 + -5)) 1 What is (1 + -13 - (5 - (2 + 14))) + -10 - 44? -55 (485 + -480 + (0 - -7) - -105) + -22 95 Calculate -3 + (-4 - -5 - -3) + (16 - 0 - 18). -1 What is the value of 142 + -128 + -14 + 45 + (-6 + 2 - -5)? 46 What is the value of 49 - -16 - 6 - 66? -7 (21 - 154 - -86) + (1 - 6) -52 What is the value of 539 + -534 + (13 - 1) - 61? -44 What is the value of -4 + (56 - 41) + (-1 + 22 - 4)? 28 What is (8 - (-69 + -3 + -11 + (-1 - -8))) + -7? 77 What is the value of 18 + -2 - (4 + 56)? -44 What is (10 - 2) + 3 - (388 + -406 - (95 - 1))? 123 What is (30 - (-13 - (-102 - -36))) + 41? 18 Calculate 22 + 12 - (5 - 56) - 39. 46 Calculate 10 + (7 - 9 - ((6 - 5) + 3)) + 12. 16 Evaluate (0 + -8 + 6 + 5 - 3) + (108 - 74). 34 (-26 + 20 - (-2 - 2) - 12) + 20 + -9 -3 What is the value of 12 - (-10 + 4 + 10) - -3 - 16 - -41? 36 Calculate -92 + (-42 - -29) + 4 + (2 - 2) + -1. -102 What is the value of 3 + (4 - 48) - (-12 + 0)? -29 (-22093 - -22027) + (-1 - -207) 140 What is the value of (-1 - (2 - 7)) + -331 + 421? 94 What is 7 + -1 + (168 - 173) - (18 + -2)? -15 What is 35 + -32
{ "pile_set_name": "DM Mathematics" }
geceege. Give prob of picking 1 c and 3 g. 4/165 What is prob of picking 3 d when three letters picked without replacement from {d: 3, c: 5, w: 3, p: 2, j: 5}? 1/816 What is prob of picking 1 h, 1 o, and 1 x when three letters picked without replacement from {h: 2, r: 2, o: 4, x: 5}? 20/143 Calculate prob of picking 3 k when three letters picked without replacement from kkkkhkkk. 5/8 What is prob of picking 2 k when two letters picked without replacement from {w: 1, i: 2, y: 4, a: 6, k: 4}? 3/68 Three letters picked without replacement from dggg. What is prob of picking 1 d and 2 g? 3/4 Three letters picked without replacement from cmmauemeacpea. What is prob of picking 1 c, 1 p, and 1 u? 1/143 Calculate prob of picking 1 o and 3 a when four letters picked without replacement from {o: 1, a: 5, e: 3, q: 5, s: 4}. 1/306 Two letters picked without replacement from foqmpam. Give prob of picking 1 a and 1 f. 1/21 What is prob of picking 1 c and 1 e when two letters picked without replacement from elc? 1/3 Calculate prob of picking 1 z and 2 t when three letters picked without replacement from {q: 1, z: 3, m: 1, t: 5}. 1/4 Calculate prob of picking 2 y and 2 l when four letters picked without replacement from ylyllwy. 9/35 Two letters picked without replacement from {i: 3, n: 3, t: 3, f: 1, w: 1, q: 2}. What is prob of picking 2 t? 1/26 What is prob of picking 1 p and 3 i when four letters picked without replacement from {p: 1, i: 7, r: 1}? 5/18 Three letters picked without replacement from {b: 3, j: 11, s: 1, v: 4}. Give prob of picking 1 b and 2 j. 55/323 Three letters picked without replacement from tozzztloz. What is prob of picking 2 o and 1 z? 1/21 Four letters picked without replacement from iccepecpiiiicip. Give prob of picking 2 i and 2 e. 1/91 Four letters picked without replacement from {v: 1, o: 1, e: 2, d: 2}. Give prob of picking 1 o, 1 d, and 2 e. 2/15 Two letters picked without replacement from {j: 5, i: 1, s: 3, w: 2, x: 1}. What is prob of picking 2 s? 1/22 Calculate prob of picking 3 s and 1 d when four letters picked without replacement from sdsdsssdddds. 8/33 Four letters picked without replacement from gsgssss. Give prob of picking 4 s. 1/7 Four letters picked without replacement from bbgbggg. What is prob of picking 1 b and 3 g? 12/35 Four letters picked without replacement from mwwmmwwwmwmmm. Give prob of picking 2 w and 2 m. 63/143 Two letters picked without replacement from {o: 1, l: 1, t: 5, y: 5, m: 2, v: 1}. Give prob of picking 1 m and 1 l. 2/105 Two letters picked without replacement from {f: 1, o: 2}. Give prob of picking 2 o. 1/3 Two letters picked without replacement from gvrvvrivav. Give prob of picking 2 r. 1/45 What is prob of picking 4 k when four letters picked without replacement from {r: 11, k: 9}? 42/1615 Calculate prob of picking 2 p and 1 f when three letters picked without replacement from {p: 3, u: 5, f: 4}. 3/55 Four letters picked without replacement from {c: 2, f: 4, s: 3, u: 2, i: 6}. Give prob of picking 1 c and 3 f. 2/595 Three letters picked without replacement from {p: 16, l: 2}. Give prob of picking 3 p. 35/51 Three letters picked without replacement from {n: 4, m: 1, e: 9}. Give prob of picking 3 n. 1/91 Two letters picked without replacement from {g: 1, b: 2, d: 1, w: 2, k: 6, m: 5}. What is prob of picking 2 m? 5/68 Three letters picked without replacement from {i: 4, f: 3, k: 1, j: 4, y: 1, d: 1}. Give prob of picking 1 i, 1 f, and 1 k. 3/91 Calculate prob of picking 1 f and 3 e when four letters picked without replacement from effbeaefffeeffbeefef. 168/1615 Two letters picked without replacement from {n: 4, f: 2, q: 6, t: 2, y: 1}. Give prob of picking 2 t. 1/105 Two letters picked without replacement from qyqqqyyyqyyyy. Give prob of picking 1 q and 1 y. 20/39 What is prob of picking 1 x and 1 q when two letters picked without replacement from {x: 2, q: 8}? 16/45 Two letters picked without replacement from vymhy. Give prob of picking 1 m and 1 y. 1/5 Two letters picked without replacement from ytgbe. What is prob of picking 1 e and 1 t? 1/10 Calculate prob of picking 1 u and 2 e when three letters picked without replacement from ezeeeuzezz. 1/12 What is prob of picking 3 a when three letters picked without replacement from {a: 3, e: 7}? 1/120 Calculate prob of picking 2 m and 1 t when three letters picked without replacement from tmiwiimtiimimi. 3/91 Calculate prob of picking 1 r and 1 f when two letters picked without replacement from frfffffffffffffffff. 2/19 Four letters picked without replacement from {d: 2, v: 16}. Give prob of picking 4 v. 91/153 What is prob of picking 1 u and 1 w when two letters picked without replacement from {w: 2, x: 1, c: 4, u: 2}? 1/9 Three letters picked without replacement from {u: 4, i: 14}. What is prob of picking 2 i and 1 u? 91/204 Calculate prob of picking 2 b and 1 w when three letters picked without replacement from {b: 2, f: 1, u: 1, e: 1, t: 4, w: 3}. 3/220 Calculate prob of picking 1 r, 1 w, and 1 t when three letters picked without replacement from dwetttwtwterrt. 9/91 Three letters picked without replacement from {d: 3, k: 4}. What is prob of picking 3 d? 1/35 Four letters picked without replacement from {s: 11, z: 8, b: 1}. What is prob of picking 3 z and 1 b? 56/4845 What is prob of picking 4 k when four letters picked without replacement from {m: 1, k: 14}? 11/15 Four letters picked without replacement from {q: 1, s: 2, y: 6, e: 5, j: 2}. Give prob of picking 1 q, 2 j, and 1 e. 1/364 Two letters picked without replacement from {y: 6}. What is prob of picking 2 y? 1 What is prob of picking 3 z when three letters picked without replacement from {z: 9}? 1 What is prob of picking 1 o, 2 i, and 1 u when four letters picked without replacement from oinnui? 1/15 Three letters picked without replacement from jkjj. Give prob of picking 3 j. 1/4 Three letters picked without replacement from uddgw. What is prob of picking 1 g, 1 w, and 1 u? 1/10 Two letters picked without replacement from {a: 2, k: 1, o: 2, v: 4, h: 1}. What is prob of picking 1 a and 1 k? 2/45 Three letters picked without replacement from ffjgjjf. Give prob of picking 3 f. 1/35 What is prob of picking 1 a and 1 l when two letters picked without replacement from vvzzlagc? 1/28 Two letters picked without replacement from iim. Give prob of picking 1 i and 1 m. 2/3 Three letters picked without replacement from iiiiiiuiiiiiiiiiiiii. Give prob of picking 1 u and 2 i. 3/20 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from iffia. 1/5 Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwwww. 1 Three letters picked without replacement from osossosoosoo. Give prob of picking 3 s. 1/22 Three letters picked without replacement from axxhpxxa. What is prob of picking 3 x? 1/14 Calculate prob of picking 2 b when two letters picked without replacement from wbwbbbbbbbbbbbbw. 13/20 Calculate prob of picking 2 i and 1 f when three letters picked without replacement from iffiifiifffiifiiffi. 135/323 Calculate prob of picking 2 j and 1 i when three letters picked without replacement from jijiijjiijijiiiijii. 84/323 Three letters picked without replacement from {i: 3, c: 1, m: 1, e: 2, d: 3, x: 5}. What is prob of picking 2 x and 1 c? 2/91 Calculate prob of picking 3 l when three letters picked without replacement from ldddlddddld. 1/165 What is prob of picking 2 r and 1 s when three letters picked without replacement from mbmrcbrrmrs? 2/55 What is prob of picking 1 l, 1 i, and 2 n when four letters picked without replacement from llniinni? 9/35 Calculate prob of picking 2 a and 1 b when three letters picked without replacement from aebtaaeheeeahvt. 6/455 What is prob of picking 3 u when three letters picked without replacement from zuuuuuzuuuuuzuuuuzuu? 28/57 Three letters picked without replacement from ddddeddd. Give prob of picking 3 d. 5/8 What is prob of picking 2 v when two letters picked without replacement from vvmmvmmmmmmm? 1/22 Calculate prob of picking 1 a, 1 m, and 1 h when three letters picked without replacement from {j: 1, b: 2, a: 1, h: 1, m: 4}. 1/21 Two letters picked without replacement from {a: 2, x: 2, m: 1}. Gi
{ "pile_set_name": "DM Mathematics" }
2/7))/n)/n)**(1/19) assuming n is positive. n**(1493/798) Simplify ((x/(x*x*x**(-26)/x))/(x/x**(-1/2)))**44 assuming x is positive. x**1078 Simplify (m**12*m*m**(-20))/(m**(-35)/((m*m/(m**1*m)*m)/m)) assuming m is positive. m**28 Simplify (j**(8/5)/(j/j**(-3)))/((j/(j*j/(j*j**(2/3))))/(j**(4/7)*j)) assuming j is positive. j**(-157/105) Simplify w*w**(-7/4)*w*w*w**(3/7)/w*(w**(-2/51))**(-4/15) assuming w is positive. w**(14759/21420) Simplify ((n*n*n**(-3/8)*n)/n)**(1/42)*(n/n**1)**(-28) assuming n is positive. n**(13/336) Simplify (a**1/a)**(-36)/((a*a**(-17))/(a/a**(1/2))) assuming a is positive. a**(33/2) Simplify ((f/f**(-4/3)*f/(f/f**(-2)*f*f))/(f/((f*f**0)/f))**(-25))**15 assuming f is positive. f**350 Simplify (h**(-24)/(h/(h/((h/h**3)/h*h))))**(-40) assuming h is positive. h**880 Simplify ((m/m**(-2/23))/m)/(m/(m*m/(m*(m/(m/(m*m/(m**0/m))*m))/m)*m))*m**(2/3)*m**(-1)/m assuming m is positive. m**(-86/69) Simplify (j**11/j)/j**(4/3)*(j**(-1/31))**(-14) assuming j is positive. j**(848/93) Simplify (((c**(1/3))**(-33/5))**(-12))**5 assuming c is positive. c**132 Simplify ((u/((u*u**(-13))/u))/(u**11*u))/((u**(-1/16)*u)/((u/(u/u**(-9/4)))/u)) assuming u is positive. u**(-35/16) Simplify ((d**(3/2)/d)/(d/(d/((d*d**(-5/3)/d*d)/d*d*d))))/(d**(2/5)/(d/(d/(d**(-1)/d)))) assuming d is positive. d**(-67/30) Simplify d**27/(d*d**31/d)*d/((d*d*d/(d/d**(-38))*d)/d*d)*d**(-37) assuming d is positive. d**(-5) Simplify ((h*h**(8/7)*h)**22)**10 assuming h is positive. h**(4840/7) Simplify (s**11/(s*s*s**6*s))/(s**(1/16)*s*s*s**(4/9)*s*s*s) assuming s is positive. s**(-505/144) Simplify r/((r*r*r/r**(-4))/r)*r**(3/7)*(r*r**(-6))/(r/(r/r**(-10/9))) assuming r is positive. r**(-533/63) Simplify (x*x**(-7/2)*(x*((x/x**(-39))/x)/x)/x)**(-2/99) assuming x is positive. x**(-71/99) Simplify (m**21*(m/m**(1/22))/m)**(2/7) assuming m is positive. m**(461/77) Simplify (b**(1/4))**(-9/10)*(b*b**3)/(b*b*(b*b*b**19)/b*b) assuming b is positive. b**(-769/40) Simplify ((d*d**6)/((d/(d/d**2))/d*d)*(d**(-2))**(-2/11))**(-35) assuming d is positive. d**(-2065/11) Simplify ((g**0)**(-21)/(g**(-1)*g**(-1)))**1 assuming g is positive. g**2 Simplify ((k*k/(k*k*k**0*k))**(-1/43)*((k*k*k**8*k)/k)/(k/(k*k**(-5)*k)*k))**(-47) assuming k is positive. k**(-10152/43) Simplify (g/(g*g*g*g**(-7)))**(-1/12)/(g**(17/3)*(g/g**(-13))/g) assuming g is positive. g**(-229/12) Simplify ((s**1/(s*s*s*s**(-1)*s*s))/(s*s*s/(s*s*s**(2/11)*s)*s**(1/2)))**(-1/12) assuming s is positive. s**(73/264) Simplify (t**(-1/8)/t**(-3/2))/((t*t**11)/t*(t*t**(-3))/t*t) assuming t is positive. t**(-61/8) Simplify y**(2/21)*y*y**6*(y/(y*y**(-7/6)*y))/((y/(y/y**(-7)))/y) assuming y is positive. y**(641/42) Simplify q**(2/19)*q**(-10/9)*q*(q/q**(-1)*q)**1 assuming q is positive. q**(512/171) Simplify (((t**(2/13)/t)/t)/(t/(t/t**(-4/7))))**(1/3) assuming t is positive. t**(-116/273) Simplify (l**3)**(1/2)/((l*l**(-32)/l)/l**(-16)) assuming l is positive. l**(35/2) Simplify (y**(-1/3)/(((y**8*y)/y*y)/y*y))/(y**(-11/6)/((y*y**(-21)/y*y)/y)) assuming y is positive. y**(-57/2) Simplify (m/m**(1/7)*(m/(m**6*m)*m)/m*m**(-1)/(m*((m*m**(1/4)*m)/m)/m*m))**(-3/11) assuming m is positive. m**(705/308) Simplify ((z**4)**(-1/33))**(7/8) assuming z is positive. z**(-7/66) Simplify (z*z**(1/4))**(-35)/((z/(z/((z/((z*z**(-3/11)*z)/z*z))/z))*z)/z*(z*(z*z**(-1))/z*z)/z*z) assuming z is positive. z**(-1893/44) Simplify (h/h**(2/9))**(2/91)*h**(-2/13)/h*h*h**(-1/5)*h*h assuming h is positive. h**(973/585) Simplify h**(-25)/h**(-21/5)*(h**4/h)**(-1/44) assuming h is positive. h**(-4591/220) Simplify (l**(-28)*l/(l**2*l))/((l/(l*l*l**(-2))*l)/l**(-4)) assuming l is positive. l**(-36) Simplify ((h*h*h**(1/3)*h)/((h**(1/29)*h)/h))/(h**(-14/9)/(h/(h/(h*h**31*h)))) assuming h is positive. h**(9880/261) Simplify ((w/(((w*w**(3/4))/w)/w))**(2/29))**(2/19) assuming w is positive. w**(5/551) Simplify s*s**(-33)*s**(2/35)*(s/(s*(s*s**(-26/5)*s)/s))/s**(1/4) assuming s is positive. s**(-3919/140) Simplify (((x**(1/6)*x)/(x/(x*(x*((x/(x**(-1)*x))/x)/x*x)/x)))/(x**(-1/3)/(x**(-4/5)*x)))**(-6) assuming x is positive. x**(-51/5) Simplify s**(-15)/s**30*(s**(3/7))**(7/3) assuming s is positive. s**(-44) Simplify ((f*f**(1/5))**(-27)*(f/((f/(f*f*f**3))/f*f))/(f/(f/(((f*f*f**(3/5))/f*f)/f))))**(-25/4) assuming f is positive. f**(725/4) Simplify (p*(p**(-4/13)/p)/p*p*p*p**(-1/2))/(p**(-2))**(6/19) assuming p is positive. p**(407/494) Simplify r/r**(16/3)*r**(-20)*(r*r**5*r*r)**1 assuming r is positive. r**(-49/3) Simplify ((c/c**(-15)*c)/c)**(7/4)/(c/c**(-5)*c*c*c/c**12) assuming c is positive. c**31 Simplify (l**24)**(7/4)/((l/(l/l**(1/40)))/(l*l*l/(l/(l/l**(-1/24)))*l*l)) assuming l is positive. l**(2821/60) Simplify (b**(-1))**(1/13)*(b/(b*b**4))**(-36) assuming b is positive. b**(1871/13) Simplify m**15/m*m**(-1/2)*m**(-13/4)*m*m/m**(-10/3)*m assuming m is positive. m**(199/12) Simplify (((f**(-1/4))**27)**(-1/52))**(-20) assuming f is positive. f**(-135/52) Simplify (m/((m*m**(-13/5))/m)*m*((m/(m*m**(-2/11)/m))/m*m)/m)/(m**(-1/7)/m**(-1/6)) assuming m is positive. m**(10991/2310) Simplify (y/y**7*y/y**7*y**(-8)*y*y*(y/y**5)/y)**(4/31) assuming y is positive. y**(-92/31) Simplify ((c*(c/(c*c**(3/34)*c))/c)/c*c*c/c**(-37))/((c/c**(-36)*c)/c*c**(-1/10)) assuming c is positive. c**(1/85) Simplify ((c**1/(c**(-5)/c))/((c*c**(-6))/(c**(-5)/c)))**39 assuming c is positive. c**234 Simplify (((d/(d/(d/(d**(-19)/d))*d))/d)/d)/((d*d*d*d**(2/5))/d)*d**20*d*d/((d**(-20)*d)/d) assuming d is positive. d**(288/5) Simplify ((l**4/(l/l**(-2/11)))/(l**(-3)/(l*l**(-1/2))))**(7/3) assuming l is positive. l**(973/66) Simplify (u*u**8*u*(u*u**(-12))/u)/(u**(6/5)/u**(-12)) assuming u is positive. u**(-76/5) Simplify (h*h**(-23)*h*h**(-22))/(h*h**15)**(-3/47) assuming h is positive. h**(-1973/47) Simplify (l/(l*(l/(l*l**(-3))*l)/l)*l**(2/5)*l*l)/((l**(-5)/l)/l)**(-2/43) assuming l is positive. l**(-199/215) Simplify (o/o**5)**(13/4)/((o*o*o**(-2/15))/o)**(-2/77) assuming o is positive. o**(-14989/1155) Simplify (y*y*y**(-2/11)*y)**(-5)*y*(y**(1/17)*y*y)/y*y*y/(y**3/y*y*y) assuming y is positive. y**(-2624/187) Simplify ((((f*f**4*f*f)/f)/f)/((f**(-6)/f)/f)*(f**(1/3)*f*f)/(f*f**(2/11)*f))**(-7/5) assuming f is positive. f**(-3038/165) Simplify (t/t**(4/5))**8*(t**7)**(4/9) assuming t is positive. t**(212/45) Simplify (u**(-12))**45*u**(-1/57)*u/(u**(-8)/u)*u assuming u is positive. u**(-30154/57) Simplify (r**(-8)*r*r)/r*r**(-3)*(r**(1/2)*r)**(-8/5) assuming r is positive. r**(-62/5) Simplify (d**(-12)*d**(-6/13)/d)/(d**0)**47 assuming d is positive. d**(-175/13) Simplify (g**0*g)**(-2/9)*(g/(g/(g/g**(-5))*g))/(g*g/g**(-10/9)*g) assuming g is positive. g**(2/3) Simplify (v*v**0)**22*v**(3/10)/v**3 assuming v is positive. v**(193/10) Simplify ((b**(-1/3))**(-5/13)/(b*b/b**1*b)**(-9))**(-35) assuming b is positive. b**(-24745/39) Simplify (z**(-7/5))**(-7/2)/((z/(z/(z*((z/(z**(-11/4)*z))/z)/z)))/(z*(z**18/z)/z)) assuming z is positive. z**(403/20) Simplify ((f*f*f**(1/4)*f)**(2/35)*(f/(f*f**(-8))*f)/f**(-2/7))**42 assuming f is positive. f**(1989/5) Simplify ((r*r**(-7))/r)**(-2)*r**(-8)*r/(r*(r*(r/(r/(r**(-2/21)*r)))/r)/r) assuming r is positive. r**(128/21) Simplify (s**2)**(-19)/(s/((s/(s/s**(-1)))/s*s))**(-6/13) assuming s is positive. s**(-482/13) Simplify (z**(2/21)/z**(-2/15))**(-3/7) assuming z is positive. z**(-24/245) Simplify (f**(2/11))**(-3/14)/(f*f**15*f**(-5)*f) assuming f is positive. f**(-927/77) Simplify ((z/z**(-10/3))/z*z)**(-11)*z**(2/9)/(z**0*z) assuming z is positive. z**(-436/9) Simplify (k**(-1/2)/k**(3/16))**(2/61) assuming k is positive. k**(-11/488) Simplify (((z**(-2)/z)/z)/z*z)**(-12/11)*z**(-3/5)*((z**(-25)*z)/z)/z assuming z is positive. z**(-1223/55) Simplify (m/(m**3/m))**(1/4)/((m**(-8)/m)/((m**(-2/15)*m)/m)) assuming m is positive. m**(517/60) Simplify (p/((p*p/(p*p**(-2/3))*p*p)/p)*p)**(-34)/(p**10)**(-47) assuming p is positive. p**(1478/3) Simplify (u**(-6/13)/u*u/u**(2/29))/(u**(1/11))**(1/4) assuming u is positive. u**(-9177/16588) Simplify ((j*j**(-15))/j**(-32))/((j/j**20)/j*(j/j**(2/93))/j) assuming j is positive. j**(3536/93) Simplify (w**(1/2))**(-2/27)/(w*((w/w**(-12))/w)/w*((w**(-9)/w)/w)/w) assuming w is positive. w**(-1/27)
{ "pile_set_name": "DM Mathematics" }
8)/(-30)? 7 Suppose 20 = -3*y + 7*y. Suppose -111 = -f - y*d - 17, 0 = 4*f + d - 281. What is the units digit of f? 9 Let s = 126 + -219. Suppose 44*f + 755 = 39*f. Let q = s - f. What is the units digit of q? 8 Let c(u) = 15*u + 2. Suppose 3*q + 3*m = 4*m + 12, 4*m = 5*q - 13. Suppose -l = 3*d - d + q, l = 4*d + 13. What is the units digit of c(l)? 7 Let x = -8 - 3. Let l = x + 11. Suppose l*c - 2*c + 32 = 0. What is the tens digit of c? 1 Let a(j) = 2*j - 3. Let w be a(4). Let b be 36/15*5/2. Suppose -5 = -w*d + 5*c, d = b*d + c - 11. What is the units digit of d? 2 Let p(h) = -h**3 - 13*h**2 + 17*h - 29. What is the hundreds digit of p(-15)? 1 Let z = -66 + 66. Let s(r) = -r**3 - r**2 + 115. What is the hundreds digit of s(z)? 1 Suppose 8*z + 168 = 4840. What is the hundreds digit of z? 5 Let u(m) = -5*m. Let i be u(-3). Suppose 2*w - 5*j - 45 = -i, -4 = -w - 3*j. Suppose -w = -2*b + 18. What is the units digit of b? 4 Suppose 387 = 5*y - 1043. Let g = 435 - y. What is the hundreds digit of g? 1 Let o(p) = 149*p + 69. What is the units digit of o(6)? 3 Suppose -16*y = -2*y - 2*y. Suppose y = 8*w + 3*w - 1177. What is the hundreds digit of w? 1 Let i = 31 + -23. Suppose -i*n - 98 = -u - 4*n, 3*n + 12 = 0. What is the units digit of u? 2 Suppose f + 3*f - 4 = 0. Let w be f/(-2)*(1 - 7). Suppose -w*s + 21 = 4*u, 3*s = -2*u + s + 12. What is the units digit of u? 3 Suppose -14*n = -9*n - 3400. Suppose 5*l - l = n. What is the hundreds digit of l? 1 Let g = -34 - -40. Suppose g*u + 4*u - 500 = 0. What is the units digit of u? 0 Suppose 2*q = 3*q + 2*i - 185, 5*q - 911 = 4*i. What is the units digit of q? 3 Suppose -4*v + 5*s = -1429, -5*v = -6*v - s + 364. What is the units digit of v? 1 Let z = 162 + -173. Let v(p) = 2*p**2 + 7*p - 38. What is the tens digit of v(z)? 2 Let o(u) = 88*u**2 + u. Let i be o(1). Suppose 73 = 2*x - i. What is the tens digit of x? 8 Suppose -930 = -4*n - 2*w, 0 = -13*n + 8*n - 2*w + 1163. What is the units digit of n? 3 Let v(i) = 3*i + 2. Let r be v(1). Suppose -k = -3*j - 26 + 138, r*j + 2*k - 183 = 0. What is the units digit of j? 7 Suppose 5*s - 582 = 2668. What is the hundreds digit of s? 6 What is the units digit of (-8 + 15 + -9)*67/(-2)? 7 What is the hundreds digit of 9318/12 + 0 - (-2)/4? 7 What is the hundreds digit of (7 - 0)*(-25070)/(-70)? 5 Suppose -4*s = 4*o - 8 - 4, -3*s + 16 = -4*o. Suppose s*u = 9*u - 150. Suppose 10 = -q + u. What is the tens digit of q? 2 Let s(z) = -z**2 - 7*z - 5. Let t be s(-6). Let n(d) = 2*d**2 - 3*d**2 - 3*d**2 - t + 6*d + 3*d**2. What is the units digit of n(4)? 7 Let w(c) = -c**3 + 16*c**2 - 15*c + 5. Let h be w(15). Suppose -f + 5*r - 3*r + 49 = 0, -f - h*r + 42 = 0. What is the units digit of f? 7 Suppose 798 = 3*h - 960. Suppose 0*f - 2*n - 598 = -4*f, -2*n + h = 4*f. What is the tens digit of f? 4 Suppose -21 - 5 = -3*b - 4*l, -4*b = -2*l + 2. Let i(v) be the third derivative of v**6/60 + v**5/30 - v**4/12 + 190*v**2. What is the tens digit of i(b)? 2 Let f be 74/(-10) + 8/20. Let l = 10 + f. Suppose 115 = 5*i - l*h, 3*h + 42 = 2*i + h. What is the units digit of i? 6 Let v be ((-328)/(-12))/((-8)/(-12)). Let l = 84 - v. What is the tens digit of l? 4 Let v(s) = 42*s + 221. What is the tens digit of v(7)? 1 Let r(d) = d**2 - 16*d - 13. Let h be r(14). Let b = h + 81. What is the tens digit of b? 4 Suppose 4*a + 36 = d - 11, -3 = 3*d. Let v(u) = -1 + 7 - 2*u + 1. What is the units digit of v(a)? 1 Suppose 32*p - 10*p - 7458 = 0. What is the tens digit of p? 3 Let x = 440 + 2704. What is the units digit of x? 4 Suppose -5*b + 1 = 11. Let h be 4*1*(b + 4). What is the units digit of h/2 - (5 - 8)? 7 Let t = 3566 + -1367. What is the thousands digit of t? 2 Suppose 9*h - 3515 - 5206 = 0. What is the hundreds digit of h? 9 Suppose 3*a - 23 = 2*v, -3*v - 36 = -5*a - 0*a. Let q(c) = -c**2 - 9*c + 16. What is the units digit of q(v)? 0 Let t(s) = -s**3 - 12*s**2 - 2*s + 4. Suppose 0 = 13*y - 9*y + 48. What is the units digit of t(y)? 8 Suppose -2 = -2*t, 0 = k + 6*t - 5*t - 5. Suppose -5*m - 442 = -k*f + f, 2*f - 324 = -4*m. What is the units digit of f? 4 Let m(l) = 18*l**2 - 9*l + 12. What is the tens digit of m(9)? 8 What is the tens digit of (2561/26 - -8)*4/6? 7 Suppose 2*i - 962 = -4*d, 3*d - 9 = 3. What is the units digit of i? 3 Suppose 14*o = 4*o + 3310. What is the units digit of o? 1 Let s = 49 - 29. Let c be s/5 + 1 + -1. Suppose c*u = u + 66. What is the units digit of u? 2 Suppose 0 = h - 4*h - b - 3, -h - 9 = 3*b. Suppose -2*i - c + 276 = h, -4*i = -i - c - 424. What is the tens digit of i? 4 Let u(a) = -11*a + 1. Let r be u(-1). Suppose 2*j - 12 = -2*j - 3*i, -4*j = -2*i - r. Suppose w = j*w - 16. What is the units digit of w? 8 Let d be (-2037)/63*(1 - 4). Suppose -11*g = -2781 + d. What is the units digit of g? 4 What is the tens digit of (2619/6)/(7/42)? 1 Let s(z) be the second derivative of z**4/6 + z**3/6 + 12*z. Let t be s(-2). Suppose -u + t*u = 210. What is the tens digit of u? 4 Let o(p) = p**2 - 7*p + 8. Let z be o(6). Suppose 0 = -z*y - w + 44 + 54, 3*w - 196 = -4*y. What is the units digit of y? 9 Let s(o) be the third derivative of -o**6/120 + o**5/60 - 5*o**4/24 - o**3/3 + 3*o**2. Let u be s(4). What is the tens digit of (1624/u)/(4/(-10))? 5 Suppose 0 = 15*v - 18*v + 1524. What is the units digit of v? 8 Let q = 27 - 28. What is the units digit of ((-4)/(-12))/(q/(-36))? 2 What is the units digit of (-3 + (-65)/(-39))/(1/(-156))? 8 Suppose -80 = -a - 3*a. Let p = a + -3. Let k = 60 - p. What is the units digit of k? 3 Let o(c) = c**2 + 3*c - 174. What is the tens digit of o(17)? 6 Let m(y) = -17*y**2 + 3*y + 9. Let v(t) = -9*t**2 + 2*t + 5. Let c(u) = -4*m(u) + 7*v(u). Let x be c(1). Suppose -2*r - 96 = -x*r. What is the tens digit of r? 2 Suppose 3*j + 784 - 274 = 0. Let b = 238 + j. What is the tens digit of b? 6 What is the units digit of (75/3)/(12/84)? 5 Let y = 55 - -57. Suppose y + 139 = 4*t - g, -g = 3*t - 183. What is the tens digit of t? 6 Suppose -4*t = 3*z - 4 - 2, -z = 2*t - 4. Let j(o) = o + 2. Let w be j(t). Suppose l - 2*l + w*v = 5, -5*l + 115 = 3*v. What is the units digit of l? 0 Let w = 191 - 115. What is the units digit of w? 6 Let r = -368 - -751. What is the tens digit of r? 8 Let i(m) = 440*m. Let d be i(1). Let v = d + -197. What is the units digit of v? 3 Let d(y) = 6*y**2 - 10*y - 15. Let i(l) = -l**2 + l. Let r(g) = d(g) + 3*i(g). What is the tens digit of r(7)? 8 What is the tens digit of (-3*(-74)/(-4))/((-4)/24)? 3 Let f(j) = -j**3 - 15*j**2 - 8*j + 1. What is the hundreds digit of f(-15)? 1 Let v(n) = -n**3 + 13*n**2 - 13*n + 26. Let y be v(6). Let h(b) = b + 1. Let u be h(4). Suppose g - 2 = f + 46, -u*g - 3*f + y = 0. What is the tens digit of g? 4 Let k(v) = -2*v**3 - 21*v**2 + 5*v - 7. Let x(u) = -u - 8. Let r be x(3). Let j be k(r). What is the tens digit of 2/2 - (-8 - j)? 6 Let h(w) = 3*w**2 + 10*w + 30. Let s be -7*(30/35 + 0/(-2)). What is the units digit of h(s)? 8 Let r be 4 - (-4)/((-16)/(-4)). Suppose 0*m + d = -r*m - 47, -3*m - 24 = 2*d. What is the units digit of 8/(-6)*555/m? 4 Let t(u) = 2*u**2 - 8*u + 20. Let s be t(8). Let c = s - -4. What is the units digit of c? 8 Suppose 14*m - 7*m = 126. Let u = m - -8. What is the units digit of u? 6 Let i = -3491 - -6206. What is the units digit of i? 5 Suppose -2*v + 0*d = -4*d + 280, -2*v + 5*d = 275. Let y = 418 + v. What is the tens digit of y? 6 What is the thousands digit of 489*((-29)/(-3) + -2)? 3 Let a = -572 + 992. What is the hundreds digit of a? 4 Suppose 0 = -9*x + 37*x - 59584. What is the units digit of x? 8 Suppose 4 = -5*g - m + 8, m = g - 2. Suppose -189 = -2*p - g. What is the tens digit of p? 9 Let l(v) = 32*v**3 - 2*v**2 - v - 1. Let o be l(2). Suppose -5*z + c + o = 0, -z = -0*c - 3*c - 63. What is the units digit of 2/(-5) + z/20? 2 Suppose 5*l - 2625 = 26*z - 25*z, 2625 = 5*l + z. What is the units digit of l? 5 Let m(t) = 3*t**3 + 3*t - 2. Let y be m(1). Suppose y*q = 4*s - 1144, 2*s + 0*q - 566 = 5*q. What is the tens digit of s? 8 Suppose 3*m = -5*d - 6621 + 25113, d = 0. What is the thousands digit of m? 6 Let o be 2 - 5/((-3)/3). Suppose 5*y + 10 = r, 5*r - o*r = y - 9. Suppose 0 = r*c - 233 + 43. What is the tens digit of
{ "pile_set_name": "DM Mathematics" }
Let u be 7 + (-1 + -4 - (136 - 134)). Which is bigger: u or -7/19? u Suppose 5*z - 38 = -y - 12, -7 = -2*z + 3*y. Let s(n) = -n + 19. Let h be s(z). Suppose 8 = o + h. Are o and -1/3 unequal? True Let j = -242 - -238. Let m be (-6)/(-5 + j/(-2)). Is m at least as big as -12? True Let d be ((-10)/(-4))/(1825/730). Which is smaller: d or -1/8259? -1/8259 Let w = 19588/11 + -1779. Suppose 10 = 2*n - 3*g - 3, n + 3*g + 7 = 0. Is n <= w? False Let p(u) = -u**3 + 5*u**2 - 2*u - 4. Let m be p(4). Let a be 562/m - (5 + (-33)/6). Are a and 142 non-equal? True Suppose 16*q + r + 3 = 21*q, 0 = 3*q + r + 3. Let t be 6/(-9) - (-1279)/1905. Let h = 1387/24765 - t. Which is smaller: q or h? q Let d(m) = 28*m - 251. Let y be d(9). Suppose -2*f = -2*b + 4, 4*b = -5*f - 0*f - y. Let r = 3 + -4. Does f = r? True Let w be 3/(-66) - (-3189)/462. Is -0.1 smaller than w? True Suppose 3*m + 93 = 5*f, -f + 0*m - 4*m = -37. Suppose 2*l = -3*y - 10, -5*y - 25 = -4*l + f. Let b be (8/(-12))/(4/y). Is b less than 1? False Let r = -95 + 186. Let l = r - 1184/13. Is l smaller than 0? True Suppose 5*s - s - k - 16 = 0, -5 = s + 2*k. Let g be 4/(s - 4) + -15. Let j = g - -20. Which is smaller: 6 or j? j Let i = 25 - 22. Let d = -3.14 + i. Let j = -0.24 - d. Which is bigger: -4.8 or j? j Let c be 2/((-14)/35) - (10/5 - 6). Are 1/4601 and c unequal? True Let q = -19.8 + 19.8066. Let k = -0.0234 - q. Are k and -0.02 unequal? True Let k be (-444)/185*5/(-2). Let t be 58/(-9 + 12/k). Do -1 and t have different values? True Let u be ((-840)/(-3920))/(1/4*-3). Does u = 1166? False Suppose -z - 4*b = -99, 0 = -68*z + 70*z + 2*b - 216. Which is smaller: z or 120? z Let r = -1773 + 1157. Which is smaller: -625 or r? -625 Let f be (-6)/1*1/(-3). Suppose 125*h - 122*h = 66. Suppose 150*q - 139*q - h = 0. Are f and q unequal? False Let c(q) = -q - 27. Let g be c(-17). Let i = 36 - 30. Suppose -5*y - 33 = 3*j, y + i*j = 3*j + 3. Is g greater than or equal to y? False Let s(b) = b**3 + 3*b**2 + b + 8. Let v be s(-3). Suppose 75 + 45 = -v*j. Which is bigger: 0 or j? 0 Let q be (-394)/591*(-1182)/14. Are q and 56 nonequal? True Let q(j) = 15 + 6*j + 0 - 3 + 11. Let x be q(-5). Which is smaller: -108/13 or x? -108/13 Let n be -3 + 4 - (59835/175 - -6). Let h = 347 + n. Which is greater: 1 or h? 1 Let n(j) = 2*j**3 + 19*j + 54. Let b be n(-4). Suppose -w - 300 = w. Are b and w equal? True Let p(j) = -2*j**2 - 58*j + 432. Let g be p(-36). Which is smaller: g or -35? g Let v = -20363.9 - -20363. Which is smaller: v or 246? v Let x = 1184 - 394. Let q = -804 + x. Is 1/2 > q? True Let t = -452.7 + 453. Let m(y) = -y**2 - 10*y + 2. Let w be m(-6). Which is bigger: w or t? w Let z be ((-282455)/350 - 2) + 3. Let b = -806 - z. Does 0 = b? False Let r(f) = 17 - f + 15*f + 10 + f**2 - 3. Let k be r(-12). Suppose k = -m - 3*m + m. Is m smaller than 1/4? True Let n = -62164/3 - -20722. Is n greater than -2227? True Suppose 0 = h + n - 13, -8*n = -4*n - 20. Suppose 4*j - 5 = k, -5*k - 33 = -3*j - h. Does j = -3/44? False Let g = -3977 + 3971. Is 49 >= g? True Let f = -2956568/14225 - -5197/25. Which is smaller: f or 0? 0 Suppose -5*w + 7*w = 3*n + 15, -3*w = -5*n - 25. Suppose 5*h - 2*h - 78 = w. Suppose r + h = 3*t, 7 = t - 3*r + r. Which is greater: t or 17/2? t Let i be 6/(-9) + (-4653)/1485. Which is smaller: i or 5? i Suppose -3*l - 2*q = -1776, 3*q - 235 + 1419 = 2*l. Let c be (l/8)/(-2) - 0/1. Are -37 and c non-equal? False Let q(d) = -3*d**2 - 2 - 2*d**3 - 5*d + 16 - 10. Let a be q(3). Is -91 >= a? True Let c be (156/(-195))/(9/135). Suppose 0 = 3*f + 40 - 7. Is f <= c? False Let d be 9 + (-42108)/48 - 1/(-4). Is -870 > d? False Let j(v) be the second derivative of -v**5/20 - v**4/3 + 2*v**3 + 2*v**2 - 3*v. Let i be j(-5). Let b = -31 - i. Do -3/64 and b have different values? True Let h = -43 - -45.3. Let z = -2.341 + h. Let j = z + 1.041. Which is smaller: j or 3/2? j Suppose 4*x - 408 = 4*n, 0 = 4*x + 4*n - 265 - 119. Let b = 98 - x. Let z = 1099 - 85721/78. Does b = z? False Let i = 7397 - 7400.6. Which is smaller: -8 or i? -8 Let p = -234 - -220.5. Let y = p - -14.5. Which is smaller: y or 200? y Let v = -572.7 + 572.7. Which is smaller: v or -0.15? -0.15 Let z = -1005.036 - -1005. Which is bigger: z or 34? 34 Let k = -1.349 + 0.515. Let p = k - -0.534. Do p and -1/75 have different values? True Let n = 3570.2 + -3570. Is -31.66 less than or equal to n? True Let h = -20 - -17. Let t = -4 - h. Let n = 117 - 104. Is n <= t? False Suppose -2*n + 10 = 0, -4*a + 9*a = 4*n - 15845. Let m = a + 1918. Let s = m - -168344/135. Is s smaller than 0? True Let i = -22.5 + 2.5. Let r = -335 + 339. Suppose 6 = 2*f + r*x, -12 + 9 = -f - 3*x. Is i <= f? True Let v(c) = -3*c + 29. Let o be v(6). Suppose 18 - o = f. Suppose -5 = 2*z - f. Is -4/35 greater than or equal to z? False Let t = 22/15421 + -4505946/2112677. Which is smaller: -1 or t? t Suppose 6*d + 8*m = -1146, -59 = 2*d - 3*m + 272. Let a = -448 - -269. Is d < a? False Let t = -110 + 115. Suppose -c + 277 = -t*x, 5*x + 781 = -203*c + 206*c. Is c at most as big as 254? True Let x = 275/204 - -5/12. Suppose -4*s + 4 = -3*t, s - 15*t - 1 = -16*t. Which is greater: x or s? x Let o be (2 + -5)*(0 + -1). Suppose -256 = 4*n - 4*y, 4*n = o*y + 2*y - 260. Which is bigger: n or -61? n Suppose -3*s = 3*f + 9, 4*f - 3*f + 4*s = -9. Let o(h) = -h**2 + 171*h - 3649. Let t be o(25). Is f at least t? False Suppose 61*f = 56*f + 5. Let q = 14184 + -11247910/793. Which is bigger: q or f? f Suppose 62*d = 69*d + 3*w + 8, -5*d - 4*w = 2. Let u(i) = i**3 - 2*i. Let c be u(0). Is d at least as big as c? False Let v = 563.9778 - 564. Let c = 0.0778 - v. Is -9.2 < c? True Let l = -50.85 - 2.15. Let u = -52.6 - l. Is u at most 2/39? False Let z = 0.5 - 0.174. Let j = 22.326 - z. Is j <= 5? False Let w = 96595483 + -72350030021/749. Let m = w - -124/7. Do m and 1 have the same value? False Suppose 4*z = -5*z - 54. Let y be z/(-33) + (-5)/((-220)/(-8)). Which is bigger: y or -2/57? y Suppose -a - 238 = a. Let m be (-748)/a - 4/14. Suppose j = -j + m. Is 3 at most j? True Suppose 2*y + 31 = -3*m, m + 49 = -3*m + 5*y. Let i be 2/(-10)*34/m. Let u = -9/11 + i. Which is smaller: u or 0? u Let b be -46*(3 - -20*(-114)/756). Let w = b + -4/9. Which is bigger: 38/13 or w? 38/13 Let t = -27744 + 27428. Which is smaller: t or -313? t Let p be 15 + (-9 - 4) - (-159)/(-77). Is p equal to -4? False Let r be ((-10)/4)/((-55)/66). Suppose -2*f + 85 = -5*m, -3*m = f + r*f - 235. Which is bigger: 54 or f? f Let w(v) = 4*v**2 + 18*v + 6. Let k be w(-3). Suppose 7 + 9 = -4*j. Let o be 2/j*(0 + 0). Which is smaller: k or o? k Let k be 20/14*(0 - -7). Let w be 3/(4 + -1)*81. Suppose -w*u = -86*u + 50. Does k = u? True Let p = -3.5 + -5.5. Let g = -8 - p. Let k = 368 + -10307/28. Is k bigger than g? False Let w = 191 - 252. Let c(p) = 64*p**3 - p**2 + p - 1. Let l be c(1). Let z = w + l. Which is smaller: -13 or z? -13 Let a(o) = 65*o - 16. Let k be -3*(-2)/(-18)*3. Let q be a(k). Suppose 3*l = 3*m + 237, -m + l = -3*l + 73. Is q != m? False Let u be (10/((-160)/132))/((-18)/(-48)). Suppose -3*k = -3*d - 63, 9*d - 7*d = -5*k - 56. Which is greater: d or u? u Let i = 27 - 32. Let n be (-66)/(-10)*i/5*-5. Suppose -b - o + 0 = -29, 3*o + n = b. Is 32 greater than or equal to b? True Let o = 3.29 + 1.11. Let d = 337 + -338. Which is smaller: d or o? d Suppose 5*n + 2*c - 10 = 0, -3*n - 2*n - 4*c = -20. Suppose 0 = -3*h - 3*j, 4*h + n*h + 5*j = 2. Let f = 124/99 + -17/9. Which is greater: h or f? f Let u be (-152)/(-7) + 6/21. Let p be ((-14)/u + 1)/(-22). Let c(t) = 23*t**2 + 165*t + 28. Let l be c(-7). Is p at least as big as l? False Let y be (-2562)/(-183)*(-4*1 + 0). Is y at least -128? True Let b = -3 - -5. Let x(r) = r**2 - 10*r - 18. Let o be x(10). Let f = -27 - o. Is f != b? True Suppose -18*v + 136 - 442 = 0. Let p(t) = -2*t + 5. Let s be p(12). Which is bigger: v or s? v Suppose -92 - 58 = -5*x. Let g be ((0 + -5)/15)/((-43)/x). Are g and 1 equal? False Let s = 23.281 + -18.281. Which is smaller: 4/33 or s? 4/33 Suppose 3*m = 4*v - m - 2324, 0 = -5*v + m + 2917. Is v less than 591? True Let s = 0.8245 + -0.2175. Which is smaller: -0.2 or s? -0.2 Suppose 3*s + s + 272 = 0. Let j = -68 -
{ "pile_set_name": "DM Mathematics" }
p be -2*(2 - 1) - -8. Solve 2*n - p = 0, -3*z = z + n - 23 for z. 5 Let n = -58 + 59. Solve -2*o + 4*z - 4 = 2*z, -3*z + n = 2*o for o. -1 Suppose -3*i - i = -20. Let s = 7 - i. Let w(m) = -m**2 + 3*m - 2. Let y be w(s). Solve 5*l - o + 7 = 0, -4*o + 5 = 3*l - y for l. -1 Let y = 6 + -2. Suppose 11*d - 40 = 3*d. Solve d*g = -3*s + 5, -y*g + 14 = -2*s - 3*g for s. -5 Let f(n) = -n - 4. Let m be (-4)/32 - (-141)/(-24). Let k be f(m). Let b be 69/21 - k/7. Solve 0 = b*a + 15, 0*a - 5*a = -5*o + 5 for o. -4 Let h be -1*4/(-12)*-3. Let t be (-1 + 4)*(-1)/h. Suppose 3*s + t*m - 8*m - 7 = 0, -4*m + 4 = 0. Solve s*g - 5*l = -5, 4*l - 3*l - 22 = 5*g for g. -5 Suppose t = 5*c - 8, -4*c + 12 = t + t. Solve -t*z + 3*l = -3, 2*l - l = 1 for z. 3 Let r be 30 - 1*(0 - 1). Let c = -13 - 18. Let p = r + c. Solve 19 = 3*d - s, 0 = -d - p*s - 5*s - 15 for d. 5 Let h(w) = w - 7. Let t be h(9). Suppose -t*l - d = -3*l - 4, 0 = 2*d. Let k(z) = -z**2 - 5*z - 2. Let p be k(l). Solve -b - p*g - 1 = 2*b, 2*b = g - 3 for b. -1 Let w be 1/(-2)*-14 + -2 + -2. Suppose 4*r - 119 = 5*x, 4*r = -w*x + 7*x + 116. Solve -l - 2*v - r = -5*l, 0 = -3*l + 2*v + 22 for l. 4 Suppose -36 = -5*v + 2*w, 3*v + 5*w + 2 = 5. Solve 0 = -5*s + 3*h - 1 + 15, 4*s - v = 5*h for s. 4 Suppose -3*v + 15 = -0*v. Let t be (v/(5/(-2)))/2. Let u be ((-11)/11)/(t/2). Solve -1 = m + c, -u*c + 12 = -4*m - 10 for m. -4 Let k be -2*1 + 8 + 2. Let i(g) = 3*g. Let m(b) = 10*b + 2. Let s(j) = 7*i(j) - 2*m(j). Let f be s(k). Solve 2*z = o - 10, 2*z - 18 = f*z - 5*o for z. -4 Suppose 4 = -t, 4*t + 106 = -13*k + 18*k. Solve 7*o = -d + 3*o + 4, 3*d + k = 3*o for d. -4 Suppose 0 = 23*j - 104*j + 324. Solve 3*w = j*d + 8 + 6, 2 = d + 2*w for d. -2 Let z be ((-116)/6)/(40/(-420)). Suppose 2*u = 235 - z. Solve v + 2 + 6 = -2*w, 4*w - v = -u for w. -4 Suppose -48*o = -68*o + 80. Solve -o*t - t - 6 = -x, -x = -2*t for t. -2 Suppose 2*i = 2*a + 92, -i - 95 = 2*a - 2*i. Let s = -25 - a. Solve 0*k - k = -3*z + 16, s = -4*k + 2*z for k. -4 Let q(w) = 12 + 14*w**3 + 0*w - 15*w**3 + 0*w + 3*w + 4*w**2. Let x be q(5). Solve -4*v - x*g - 4 = 2, -3*v - 1 = -2*g for v. -1 Let t = -1133 - -1135. Solve t*y - 4*s = -s - 5, 0 = -3*y - 4*s + 18 for y. 2 Let t(f) = f**3 - 9*f**2 + 9*f + 9. Let m be t(8). Suppose 5 = 4*n + m. Let r = 5 + n. Solve -4*a + 18 = -2*k, r*k + 5*a - 18 = -0 for k. -1 Let o be (-6)/9*3 - 198/(-11). Suppose -4*j - 3 = -5*i + 5, -j - 2 = -3*i. Solve -d - 3*h + o = -i*h, 5*d - 3*h = 8 for d. 4 Let w(j) = -2*j**2 + 12*j + 11. Suppose -4*l - 3*m + 18 = 0, 4*m = 3*l + 2*l - 38. Let h be w(l). Solve -4*s - 3*u = -0*s + h, -3*s - 2*u - 7 = 0 for s. 1 Suppose 8 = -4*a - 5*s + 38, 0 = -2*s - 4. Solve -n - 3*p = -a, n + 4*p = 23 - 10 for n. 1 Let i be 175/5*-2*(-2)/10. Let u = 6 + i. Solve -5*a + 20 = o, 5*a = -7*o + 3*o + u for a. 4 Let f(c) = 4*c + 26. Let s = 111 - 117. Let y be f(s). Solve -3 = -0*b - y*b - 3*m, -5*m = 5 for b. 3 Let j(u) = -u**3 + u**2 + 2*u + 1. Let t be j(-1). Suppose 0 = p - t. Solve y = 0, 2*o - 3*y - p = 1 for o. 1 Let v be (-48)/54*-3 + (-1)/(-3). Suppose -d - v*d = 2*d. Solve 0 = -5*u - 2*m - 11, 2*u + 3*m = d for u. -3 Suppose 2*w - 1 = -33. Let h(f) = 3*f + 12. Let t be h(-8). Let o = t - w. Solve j = -4*b - o - 0, -3*j + 3*b = -18 for j. 4 Let f(g) = -g**2 + 31*g - 128. Let s be f(5). Solve -2*q = s*z - 7 - 3, 0 = 2*q + z - 5 for q. 0 Suppose 5*h = -2*b + 50, -3*h + b = -4*h + 7. Let f = -980 - -985. Solve 2*q = 5*i + h, 3*i + q - f = 5*i for i. -2 Suppose -5*w - 4*j = -242, 4*w + j - 48 = 3*w. Suppose 4*n + 6*n = w. Solve 5*c - 24 = -n*l + 3*l, 0 = -5*l + c + 6 for l. 2 Let y(i) = i**3 - i**2 + 7*i - 1. Let m(t) = -15*t**2 - 7*t**2 + 21*t**2. Let v(k) = 5*m(k) + y(k). Let p be v(5). Solve 4 = u + p, -4*q + u = -1 for q. -1 Let x(b) = -20*b - 2. Suppose 3*v + 3*s = 0, -3*v + 2 = 2*s + 3*s. Let z be x(v). Solve 2*y - y = 3, z = 3*d + y for d. 5 Let t = -71 - -25. Let b = t + 24. Let d be b/33 - 2/(-3). Solve n - 3*q = 19, n + q + q + 6 = d for n. 4 Suppose -2*n + 18 = -3*z, -4*z = -3*n + 5*n + 10. Solve 4*x + 0*w + 4 = -n*w, -4 = -2*x - 3*w for x. -4 Let b be 38 - 3*(-1)/3. Let p = -36 + b. Suppose -24 = -5*o - 2*n, -2*o + 6 = -3*o - 4*n. Solve -p*d + o = w, -5*w = 4*d - w for d. 3 Let k = -3 + 5. Let q(a) = -3*a - 7. Let d be q(0). Let g be 4/d*(-35)/10. Solve g = k*u - u - 4*x, x = 2*u - 4 for u. 2 Suppose 2 = 2*b - 8. Suppose u + 2*g = 3, 3 = -2*u + 2*g + 9. Suppose 0 = -u*m + 9, 3*m + 1 = -c + 10. Solve 2*o = 3*t - c*t + 18, -b*o = -2*t - 23 for t. -4 Let i be 7 + (-1)/((-8)/(-32)). Solve -5*u - 5 = -i*c, -3*u - 3 = -3*c + c for u. -1 Let l(k) = k**3 - 6*k**2 - 7*k. Let f be (-2 + -5)*(-2 - -1). Let a be l(f). Suppose 0 = -w - a + 2. Solve 0 = 4*d + 3*v - 5, -4*v - 2 = -d + w*d for d. 2 Let l(t) = -t**2 + 4*t - 6. Let o be l(8). Let z be o*(-12)/(-16)*-2. Suppose 5*g - 182 = -z. Solve 3*b = -2*b + 2*i, -5*i = -g for b. 2 Suppose -q - 2*q - 4*p + 16 = 0, 4*q = -5*p + 21. Solve -8 = 5*h + i - 28, 0 = q*h - i - 25 for h. 5 Let g be 0 + (-3)/27 + 56/18. Solve -15 = -g*b, -2*b = p - 7 + 1 for p. -4 Suppose -4*v = -0 - 0. Solve -5*c = 3*h - 22, -2 = -3*c - v*c + h for c. 2 Suppose 38*c = 40*c - 30. Let a be (-4)/16*0 + c. Solve -5*o + r = -3*r - a, -2*o + 6 = -r for o. 3 Let r be ((-8)/(-2))/((-1)/28*-7). Solve 2*k + b + 8 = 0, -k + r = -5*k + 2*b for k. -4 Let h(c) = -2*c - 4. Let s(w) = 2*w**2 + 3*w - 3. Let j be s(-4). Let n = -19 + j. Let y be h(n). Solve 0 = 5*q - u + 18, -q + 5*q - 3*u + 10 = y for q. -4 Suppose -3*h + 7 - 10 = 0. Let t be (1 + h + -8)/(48/(-24)). Solve y + o = -2*o - 8, 10 = t*y - 2*o for y. 1 Suppose 34*r = -4*r + 342. Solve 0 = 2*n + 3*n + 5*w + 25, 2*n + w = -r for n. -4 Let l(t) be the third derivative of t**4/8 - 5*t**3/2 - 2*t**2. Let q be l(6). Let u be 6/(-15)*(-4 - 6). Solve 2*z + z - 18 = q*d, 0 = u*d - z + 18 for d. -4 Suppose -12*x - 6*x + 126 = 0. Suppose 4*m - m + 9 = 0. Let f = m + x. Solve -3*q + 6 = -3*a - 2*q, 0 = f*a + 4*q + 24 for a. -3 Let c(j) = -18*j + 84. Let i be c(4). Solve -3*y = -0*y + 5*x - 16, -2*y - 4*x + i = 0 for y. 2 Let l(r) = 16*r - 17. Let m be l(2). Solve -5*s = -3*s + 2*a + 6, 5*s + 3*a = -m for s. -3 Suppose -4*f + 4*h = 0, -20 = 4*h - 28. Solve -2*m - q = -10, 5*m = f*q - 3*q + 22 for m. 4 Suppose -y + 3*i = 9, 4*i = i + 12. Solve -f + 21 = -4*c, -2*c + 3*c = y*f - 19 for c. -4 Let q be 12/18 - 7/(-3). Let a be (12/(-3))/((-12)/18) - q. Solve 0 = 3*s + a*r - 21, -3*s + 7*s = -3*r + 25 for s. 4 Suppose -48 = 5*s - 118. Let i be (1 + 1)/(s/91). Suppose x + 4*o - 6*o = 1, 0 = -4*x - o + i. Solve 1 = -2*v + d, d - 3*d + 1 = -x*v for v. -1 Let c = -29 - -61. Suppose 4*d - 7*f = -2*f + c, f = d - 7. Let w be ((-4)/(-12))/(3/(-9))*-1. Solve 0 + w = -r, -r = 4*k - d for k. 1 Let f = 12 + 24. Let w = f - 47. Let h be (-42)/w - 6/(-33). Solve 3*g + 5*q + 15 = 0, -4 = -h*g + 5*q - 24 for g. -5 Suppose -2*o + 2 + 4 = 0. Suppose 2*s - 5 = o. Solve -3*y - 24 = s*x, 5*y + 3*x + 29 + 0 = 0 for y. -4 Let m be 2 + ((-3)/6)/((-3)/48). Let j = m - -2. Solve -2*q + 5*i = j, 2*i = 2*q + 6*i - 24 for q. 4 Let w be 9 - (1/3)/((-58)/(-870)). Solve -k + 14 = -5*l, 7*k - 5*k = -w*l for k. 4 Let o = -229 + 231. Solve 5*n - o*j = j - 20, -5*n - 20 = -4*j for n. -4 Suppose 0 = 15*w - 30 - 15. Solve 5*t - 23 = -h - 0*t, 5*t - 31 = w*h for h. -2 Let u = 393 + -379. Solve -5*n + 15 = -4*i - u, 0 = -4*i + 2*n - 14 for i. -1 Suppose 3*u = -2*h - 26, -h - 18 = -0*h - u. Let p = 20 + h. Solve 0 = -a - 0 + 2, 6 = -p*k + a for k. -1 Let g(o) = 3 - 4 - 1 + 5*o + 4 - 2*o**2. Let p be g(2). Solve 22 = -2*v - p*z, 0*v - 2*v = -5*z - 5 for v. -5 Let f = 21 - 21. Let b be -6*(5/3 + f). Let t(g) = -g**3 - 9*g**2 + 8*g - 13. Let h be t(b). Solve -19 = 3*m - 2*s, 0 = -4*m - 0*s - s - h for m. -3 Let h be -10 + (-372)/(-36) + (-11)/(-3). Solve -20 = h*a + 4*p, -4 = 2*a + 4*p + 10 for a. -3 Let c be (21/7)/((-3)/(-8)). Suppose 2 = -2*b + c. Solve 2*g + 4*m = -8, 4*m = 3*g + b*m + 12 for g. -4 Let f(l) = -2*l**2 - l + 4. Let i be f(-2). Let b = -17 - -24. Let h = b + i. Solve 0 = 2*z + 3*j, z = h*j - 3*j + 7 for z. 3 Suppose 0 = -o + 23. Solve -m + 4*m = r - 14, 0 = 3*r + 4*m + o for r. -1 Let z = 3 + -3. Let c be (9/(-5))/((-42)/280). Suppose -2*f = f - c. Solve 5*v + j = 2
{ "pile_set_name": "DM Mathematics" }
- (-2)/(-8)) + 4. Put x, 0.1, -2/25, 2/7 in decreasing order. 2/7, 0.1, -2/25, x Let x(j) = j**2 - 3*j. Let b be x(3). Let k(f) = f**2 + 6*f - 44. Let z be k(4). Put b, 1/7, 2/9, z in decreasing order. 2/9, 1/7, b, z Let p = -0.09 + 1.09. Let r = 10 + p. Put 1/3, r, 5 in descending order. r, 5, 1/3 Let m = 5.97 + -2.97. Put 5, -0.1, -3, m in decreasing order. 5, m, -0.1, -3 Let q = 11 - 16. Let h(p) = 0*p**3 - 3*p**2 - 5 - p**2 + p**3 + p. Let l be h(4). Sort l, q, 3 in descending order. 3, l, q Suppose 0 = 12*z - 14*z + 4. Let x be (z*(-3 + 2))/2. Let r = -3 - -3. Sort -2, x, r. -2, x, r Let s = -29 - -19. Put -3, -4, s in decreasing order. -3, -4, s Let s = -1 - 1. Suppose 2*v - 4*v + 64 = 0. Let o be (v/(-7))/(-2) - 44/154. Sort -4, o, s in ascending order. -4, s, o Suppose 3*b - 16 + 13 = 0. Let k be 21/(3/1) - b*2. Let l = -12 + 7. Sort 4, l, k in decreasing order. k, 4, l Let v(w) = -3*w - 7. Let z be v(-5). Let c be z/(-6)*(-6)/(-4). Let m be c - ((3 - -1) + -6). Put 2/21, m, 1 in descending order. 1, 2/21, m Let z be ((-12)/10)/(2/(-5)). Suppose y - z + 0 = 0. Let h be 696/(-120) + -3*2/(-1). Sort y, h, 4 in decreasing order. 4, y, h Let b = 175 + -177. Sort -6, 3, b in increasing order. -6, b, 3 Let c be (-1)/(-8) + (-21923)/88. Let i = 2741/11 + c. Put 0.2, 18, i in descending order. 18, 0.2, i Let c(g) = -g**2 + 4*g + 3. Let z be c(4). Suppose -9 = 13*l - 74. Put -1/7, l, -6, z in descending order. l, z, -1/7, -6 Let s = -3 - 0. Let i(a) = -a**3 + 25*a**2 - 98*a - 37. Let b be i(20). Put 2, b, s in decreasing order. b, 2, s Let b = 5 + 5. Suppose -4*q + 5*v - b = 0, -5 = 3*q - 2*v + 6. Put 3, -1.1, q in decreasing order. 3, -1.1, q Let v = 13.551 + 0.449. Let z = -4 + 4.1. Sort 0, -3/2, v, z in ascending order. -3/2, 0, z, v Let q(p) = 2*p. Let o be q(-4). Let x(y) = y**2 + 10*y - 1. Let z be x(o). Let r(l) = -l - 14. Let u be r(z). Sort u, 5, 0 in decreasing order. 5, u, 0 Suppose 0*b - 3*b = -4*b. Suppose 2*m + b*p - 6 = -p, 0 = -3*m + p + 19. Suppose 0 = -3*r + r - 4. Put m, r, 9 in increasing order. r, m, 9 Let s(b) = -3*b**2 - 4*b + 10. Let p(q) = 7*q**2 + 9*q - 21. Let l(c) = -2*p(c) - 5*s(c). Let w be l(-4). Sort 2, w, 5. w, 2, 5 Suppose -4*c - 2*a = -10, -2 + 9 = 4*c + 5*a. Let d be (-14)/(-4) + (-12)/(-8). Sort c, d, -5 in ascending order. -5, c, d Let w = -44 + 46. Suppose 30*h - 26*h + 12 = 0. Put 1, w, -4, h in decreasing order. w, 1, h, -4 Let n be 150/30 - (-2 + 117/15). Sort n, 0.02, 15 in decreasing order. 15, 0.02, n Let s(t) = t**3 + 3*t**2 + 3*t + 3. Let p be s(-3). Let j be p*(-4)/(-16)*-2. Put j, 0.2, -0.8 in increasing order. -0.8, 0.2, j Let y = -13011106/14387535 + -2/125109. Let f = y - -30/23. Let a = -5 - -2. Put a, f, 2 in decreasing order. 2, f, a Let q = 62.01 - -0.09. Let m = q - 62. Put -4, -18, m, 3 in descending order. 3, m, -4, -18 Suppose -w + 0 = 6. Let d be (-7)/(-2) - w/12. Suppose -d*c - f + 10 = -6, 0 = -2*c - 3*f - 2. Sort 1, 0, c in increasing order. 0, 1, c Let j = -383 - -379. Put -159, j, -5 in increasing order. -159, -5, j Let y = 1.41 - 0.91. Sort 3/10, -2, 1.2, y in descending order. 1.2, y, 3/10, -2 Let v = 73 + -69. Suppose -16 + 0 = 4*c + 2*g, -2*c = -g + v. Put c, -36, 1, 0 in descending order. 1, 0, c, -36 Let b = 14.9 + -15.9. Let k = 0.3 - 0.6. Let i = 0.4 + k. Sort 1, i, b. b, i, 1 Suppose 12*d - 37 - 11 = 0. Let p = 4 - d. Put 1, -4/7, p, 0.6 in increasing order. -4/7, p, 0.6, 1 Let p(a) = -a**2 - 10*a + 22. Let i be p(-12). Sort i, -4, 5, 7 in decreasing order. 7, 5, i, -4 Suppose -4*j - 16 = -4*c, -5*j + 2*j = 6. Put 5, 32, c in descending order. 32, 5, c Let r(o) = -o**2 + 28*o + 85. Let h be r(31). Put -3, -1, -4, h in descending order. -1, -3, -4, h Let i = 525 - 537. Put -11, -4, i in increasing order. i, -11, -4 Let k be 186/(-4)*12/1512. Let y = -5/84 + k. Put -1, 4, y in decreasing order. 4, y, -1 Suppose -5*b = -3*g + 356, 4*b + 2*g + 272 = -2*g. Let t = -347/5 - b. Sort -2/3, 8, t, 1 in decreasing order. 8, 1, t, -2/3 Let l be ((3/5)/(-1))/(1/5). Let k = -57 - -68. Sort l, 5, 3, k. l, 3, 5, k Suppose -u = 3*t + 3, -7*t = -3*t + 4. Suppose -5*v = 3*m + 31, -3*m - 6 = 4*v + 20. Suppose -2*y = 8, 5*l + 15 + 13 = -2*y. Put l, u, m in descending order. u, m, l Let z = 7.4 + -4.4. Let v = -0.6 - -0.1. Let l = -3.04 + 0.04. Put v, z, l in increasing order. l, v, z Let s(z) = z**2 + 19*z + 36. Let j be s(-17). Let w = -5.4 - -4.9. Put 2/25, j, w in decreasing order. j, 2/25, w Let m(y) = -y**2 + 34*y - 91. Let c be m(31). Suppose -6*x - 25 = 2*d - x, -c*d - 4*x - 20 = 0. Put 2, -4, -1, d in descending order. 2, d, -1, -4 Suppose 5*n - 8 = 3*l + 21, -4*n - 12 = 2*l. Sort -4, l, -1 in increasing order. l, -4, -1 Let j be 6/((-2)/6*78/(-104)). Put -3, j, -5, -4 in decreasing order. j, -3, -4, -5 Let w be (0 - 6/15)*-10. Suppose 0 = -3*g + 9 - 3. Let t(d) = d - 1. Let u be t(1). Sort u, g, w in ascending order. u, g, w Let w be (3 - -16) + 12/(-4). Suppose u = r + 4, -u + 6*u + 4*r + w = 0. Let k = -9 - -5. Put u, k, -2 in decreasing order. u, -2, k Suppose b - 11*i + 8*i + 5 = 0, 2*b - 3*i = -4. Sort b, -2, -383 in ascending order. -383, -2, b Let b = 2161803/17 - 127089. Let t = 76 - b. Let o = 20 + -25. Put t, o, -0.2 in descending order. t, -0.2, o Let a = 394 + -399. Sort a, -3, 0.2 in decreasing order. 0.2, -3, a Let v = 17 - 10. Let b = -0.01 + -6.49. Let a = b + v. Sort a, -2, -4 in decreasing order. a, -2, -4 Let n = -14704 - -14704.4. Let g = -0.4 + -0.1. Sort -19, g, n, -1 in ascending order. -19, -1, g, n Let q be (21/35)/(1/5). Let r = 2 - q. Put -5, 3, r in increasing order. -5, r, 3 Suppose 5*u + 3*u = 16. Suppose -3*g + 5*g = u. Sort 5, -4, g, 2 in ascending order. -4, g, 2, 5 Let p = 0.6 + -1.1. Let k(c) = c**2 + c - 12. Let x be k(-6). Put p, x, 0 in ascending order. p, 0, x Let y = -12 - -10. Let r = -56 + 48. Let f = r - -10. Put f, y, 0.4 in ascending order. y, 0.4, f Suppose 6 = 5*y + 2*k - 2, 2*k - 8 = 0. Suppose -5*x - 4*n + 2 = -28, 4*x - 3 = n. Let f = 4 - x. Put -4, y, f in increasing order. -4, y, f Let q(v) = 42*v - 326. Let n be q(8). Sort 1, -5, 5, n in descending order. n, 5, 1, -5 Let w(m) = 9*m + 3*m**2 + 3*m**2 - 5*m**2 + 3 + 12. Let z be w(-6). Sort z, -2, -5 in decreasing order. -2, z, -5 Let t(r) = -r**3 - r**2 + 2*r + 2. Let y be t(0). Suppose 5*h + 38 = 2*u, -4*u + 6*h - 3*h = -48. Let f = u - 14. Sort y, 0.4, f. f, 0.4, y Let t be (-24)/14 - (-4)/(-14). Let w = -0.15 - -0.2. Let n = w + -1.05. Sort n, t, 1/6. t, n, 1/6 Let u = -3.4 + 38.4. Let w = -34.9 + u. Let o = 0.4 + -2.4. Sort o, w, 4. o, w, 4 Let l be 0 + 2*1/(-5). Suppose -2*k + 2 = 8, 3*h = k - 12. Sort h, l, 1/4, 2/7 in descending order. 2/7, 1/4, l, h Let v = 269.7 + -270. Put v, -0.5, -2/3, 42 in decreasing order. 42, v, -0.5, -2/3 Let t = 1756.5 + -1756. Sort t, -7, 0, 8 in ascending order. -7, 0, t, 8 Let w = 317 + -322. Let n = -11.6 + 12. Put n, 4, w, -1/5 in descending order. 4, n, -1/5, w Suppose -5*r = 10*k - 6*k - 24, k + r - 5 = 0. Sort -1, k, 93 in increasing order. -1, k, 93 Let k = -0.14 + 0.2. Let v(w) = w**2 + 10*w - 10. Let t be v(-11). Put k, t, 2, -0.3 in descending order. 2, t, k, -0.3 Suppose -2*b = 30 - 38. Sort b, 0.25, -1/3, 2. -1/3, 0.25, 2, b Let x be ((-5)/5 - 9)*-2. Suppose x = 4*z, -3*f - z - 14 = -2*z. Sort f, 5, -4 in decreasing order. 5, f, -4 Suppose -n + 2*w - 7 = 0, -14*n + 3*w - 21 = -16*n. Let k(a) = -a**2 - 8*a - 7. Let j be k(-6). Sort n, -5, j. -5, n, j Let b = 11 + -5. Let u = -2 + b. Let i = -3.6 + u. Put i, -3/8, -2/13 in descending order. i, -2/13, -3/8 Let u(s) = 2*s**3 + 9*s**2 - 11*s + 47. Let l be u(-6). Put -13, 1, -2, l in decreasing order. l, 1, -2, -13 Let u(z) be the first derivative of z**3/3 + 5*z**2 - 9*z + 5. Let o be u(-11). Suppose s = o*y - 3*s - 2, -s = -y + 3. Sort 4, y, 0 in increasing order. 0, 4, y Let w(v) = -v**3 - v**2 + 20*v - 2. Let f be w(-5). Let o be (1 + 2 + -2)*2. Sort 3, f, o in decreasing order. 3, o, f Suppose -2*w - 2*w + 4*z = -8, 0 = 2*w - 3*z - 4. Put 1, w, -5, 13 in decreasing order. 13, w, 1, -5 Let u be -1 - -4 - (18 - 1). Let q = 10 + u. Let x be 1 + -2 + 4 + -9 + 3. Put q, 3, x in decreasing order. 3, x, q Let q(u) be the second derivative of -u**5/20 - 7*u**4/12 - 7*u**3/3 - 8*u**2 - 2
{ "pile_set_name": "DM Mathematics" }
33))))))**2. 182*sqrt(17) + 140778 Simplify (3*sqrt(30)*-2 + sqrt(180)/(sqrt(30)/sqrt(5)))/((1*2*sqrt(42))/(sqrt(84)/sqrt(48) - sqrt(7))). 5*sqrt(5)/4 Simplify -3 + (-1*sqrt(833))**2 + 1 - (2 + (-1 + sqrt(17) + sqrt(17) + 5 - sqrt(17)) + -2)**2. -8*sqrt(17) + 798 Simplify -3 + (sqrt(180) + 1)**2 + sqrt(180) + 5*(sqrt(180) - sqrt(180)*1) + -5*1*(-2 + ((sqrt(180)*-5)**2 - sqrt(180))). -22312 + 48*sqrt(5) Simplify (4*5*3*sqrt(1666))/(6*-1*sqrt(6)/(sqrt(3) - (sqrt(3)*4 + sqrt(3)))). 280*sqrt(17) Simplify -1 + (-1*sqrt(1377)*2)**2 - (-3*sqrt(17) + 3 - (sqrt(425) + (sqrt(425)*-2 - sqrt(425)) - sqrt(425))**2). 3*sqrt(17) + 9329 Simplify ((sqrt(8) - -3*sqrt(968) - sqrt(8))*5*-6)/(sqrt(44)/(sqrt(11)*-3) - sqrt(324)*-2). -2970*sqrt(2)/53 Simplify (2*sqrt(60)/sqrt(4) + sqrt(15))/(-5*sqrt(80)) + (sqrt(18)/(sqrt(30)/sqrt(5)) + sqrt(3))**2*5*-6. -360 - 3*sqrt(3)/20 Simplify (sqrt(1617) - ((sqrt(1617) - sqrt(1617)*2) + sqrt(1617) + sqrt(1617)) - -3*sqrt(1617))/(((sqrt(72) + sqrt(72)*-2)/sqrt(12))/(sqrt(2) + sqrt(288))). -273*sqrt(11) Simplify -5*(-3*-2*sqrt(720)*-1*6*3 + -1)*-2. -12960*sqrt(5) - 10 Simplify 3*((2*sqrt(44))/sqrt(4) + sqrt(77)/(-2*sqrt(7)) + -1 + sqrt(55)/(sqrt(5) + sqrt(10)/sqrt(2)))**2 + 3. -12*sqrt(11) + 138 Simplify (1*(3*(sqrt(48) + sqrt(12))*-6)/(sqrt(144) - sqrt(36) - (sqrt(16) + (sqrt(16) - sqrt(144)))/sqrt(4)) + -1)**2. 27*sqrt(3) + 2191/4 Simplify 1 + ((sqrt(363) - -5*sqrt(363))**2 + sqrt(363))*-4 + sqrt(300)*5 + 4. -52267 + 6*sqrt(3) Simplify (-1*(sqrt(880) + sqrt(880)*-5)*-5)/(sqrt(121)/(sqrt(99)/sqrt(9)) - ((-2*sqrt(99))/sqrt(9) - sqrt(11))). -20*sqrt(5) Simplify -4 + 1*(((sqrt(42)*-2)/sqrt(6) - (sqrt(7) + 1 + -1))*-1 - (1 + sqrt(7) + 0 + -1 + 2))**2. -8*sqrt(7) + 28 Simplify 4 + (6*(sqrt(108)*-2 - sqrt(108)) + 6*sqrt(108)*1)/(sqrt(24) + sqrt(264)/(sqrt(11)*2)). -12*sqrt(2) + 4 Simplify (1 + (0 + (2*sqrt(99)*3 - (-3 + sqrt(99) + 4)))*6 + -2)**2. -1260*sqrt(11) + 89149 Simplify 0 + 2 + (2*sqrt(80) - sqrt(5) - (sqrt(5) - (-1 + sqrt(5))**2*-2) - (sqrt(25)/(-1*sqrt(5)) + sqrt(5) + 1 + -3)) + -2. -10 + 10*sqrt(5) Simplify (-1*((-4 + sqrt(1216)*-4)*-2 + sqrt(1216) + 0 + 4*sqrt(1216) + 1))**2 + -1. 1872*sqrt(19) + 205584 Simplify ((2 + 3*sqrt(720)*-2 + -1*3*sqrt(720) + sqrt(720))*2*-1)**2. -1536*sqrt(5) + 184336 Simplify (3 + sqrt(468) + -1 + sqrt(468))**2*-5 + ((sqrt(13) - sqrt(13)*-1)*5 + sqrt(26)/(sqrt(72) - sqrt(2)))**2. -200687/25 - 240*sqrt(13) Simplify ((sqrt(176) + -4*2*sqrt(176) + sqrt(176) + sqrt(176))/((sqrt(11) - -1*sqrt(11))*1))/(-3*sqrt(48)/sqrt(6) - sqrt(384)/sqrt(3)). 5*sqrt(2)/14 Simplify 3 + (4*(sqrt(1088)*1*-5*3 + -2*(sqrt(1088) + sqrt(1088) + 0 + sqrt(1088) + 1)))**2. 10752*sqrt(17) + 7676995 Simplify ((sqrt(16) + sqrt(144)*4)/(sqrt(800) + (sqrt(800) - -2*sqrt(800))))**2 + -5 + 0 + 4 + (-5*sqrt(2)*-1)**2. 39369/800 Simplify (2*(sqrt(95) + -2*sqrt(95)*-4)*5)/((sqrt(225)/sqrt(5))/sqrt(9) - -3*sqrt(80)). 90*sqrt(19)/13 Simplify 5*(sqrt(1053) + (sqrt(1053) + sqrt(1053) + 2 + 1)**2 + sqrt(1053) + sqrt(1053) - (-3*sqrt(1053) + 4)**2)*-5*4. -35100*sqrt(13) + 527200 Simplify ((1*sqrt(27) - sqrt(192)*-1) + 2 + ((sqrt(150)/(sqrt(15)/sqrt(3)) - sqrt(30)) + sqrt(30))/(sqrt(120)/(sqrt(36)/sqrt(3))))**2. 48*sqrt(3) + 436 Simplify 5*(sqrt(972) + (-2*sqrt(972))**2)*-6 + ((-1 + sqrt(363) + -1 - ((sqrt(363) - sqrt(363)*1) + 1))*-1)**2. -116268 - 606*sqrt(3) Simplify (-5 + ((sqrt(132) - (sqrt(132) - 3*sqrt(132)*-6 - sqrt(132)))/sqrt(12) - sqrt(66)/(sqrt(36)/(sqrt(6) + sqrt(384)))))**2*1. 260*sqrt(11) + 7461 Simplify 4*(4 + -4 + (sqrt(250)/sqrt(5))/sqrt(10) - (sqrt(5) + (sqrt(480)/sqrt(8))/sqrt(12) - (sqrt(5) + (sqrt(125) - (2 + sqrt(125))) + sqrt(125))))**2. -80*sqrt(5) + 516 Simplify (-3*sqrt(34)*-3 - (sqrt(34) + 1*1*sqrt(34)))/(-1*sqrt(72)*-4). 7*sqrt(17)/24 Simplify -3*(sqrt(147) + 2)*-4 - ((sqrt(120)/sqrt(4) + sqrt(30))/sqrt(10) + (4 + sqrt(192))**2). -184 + 18*sqrt(3) Simplify (sqrt(576)*-1 + sqrt(160)/(sqrt(20)/sqrt(2)))/(3*1*sqrt(8) - sqrt(200)*1)*-6. -15*sqrt(2) Simplify ((sqrt(80) - sqrt(5))**2 + 3 - sqrt(60)/(-3*sqrt(12))) + (4 + sqrt(80) - sqrt(80) - sqrt(5)) + sqrt(125) + 5 + 3. 13*sqrt(5)/3 + 60 Simplify (1*(0 + (0 + (sqrt(80) - sqrt(80)*-1 - sqrt(80)) - sqrt(80)) + sqrt(80) + 0 + sqrt(80) + 2 + -1 + (sqrt(80) - (-1 + sqrt(80))) + sqrt(80) + 3))**2. 120*sqrt(5) + 745 Simplify (-3*1*(sqrt(162) + -2))**2 - (-5*(sqrt(18) + sqrt(18) + (1*sqrt(2592) - sqrt(2592))))**2. -324*sqrt(2) - 306 Simplify (-6*sqrt(20)*1)/(3*(sqrt(10)*-1 - sqrt(10))) - (sqrt(600)/sqrt(2))/sqrt(6)*3. -14*sqrt(2) Simplify -1 + sqrt(26)/sqrt(2) + -3 + -4 - (-6*(sqrt(117)/sqrt(9))**2 - 1*sqrt(325)). 6*sqrt(13) + 70 Simplify (sqrt(60)/(-3*sqrt(3)) + (sqrt(20) - (sqrt(720) - sqrt(720)*1)))/((sqrt(216) - sqrt(216)*5*-1)/sqrt(6)). sqrt(5)/27 Simplify -6*((sqrt(6655) + (-2*sqrt(6655) - sqrt(6655)) + sqrt(6655))*-1)/((sqrt(198)/(sqrt(36)/sqrt(4)))/sqrt(2)). -66*sqrt(5) Simplify (-5*(2*(-4 + (sqrt(272) - -1*sqrt(272)*4)) + -5)*5)**2. -650000*sqrt(17) + 17105625 Simplify (sqrt(220)/(-1*sqrt(90)))/((sqrt(24)/sqrt(3))/sqrt(4) - sqrt(18)/(-2*sqrt(9))). -2*sqrt(11)/9 Simplify (3 + (6*(sqrt(490) + sqrt(10)) + -1*sqrt(80)/sqrt(8))/(sqrt(25)/(sqrt(5)*-1*-6 + sqrt(5) + sqrt(5))*-1))**2. -2256*sqrt(2) + 282761 Simplify (sqrt(378)/(sqrt(99)/(sqrt(11) - (sqrt(11) + (sqrt(11) - sqrt(11)*2 - sqrt(11))))))/(-2*(sqrt(6) - (sqrt(6) - -2*sqrt(6))*3)). sqrt(7)/8 Simplify (((sqrt(180)/sqrt(3)*-6)/((sqrt(48)*1)/sqrt(8)))/(((-1*sqrt(180))/sqrt(3))/(sqrt(192)*6)))**2. 41472 Simplify ((sqrt(396) - 2*sqrt(396))*-6 + sqrt(396) + -4 + 4 - (1 + (sqrt(396) - (sqrt(396) + 1)) + 1*sqrt(396)*-1 + sqrt(396)))**2. 19404 Simplify -1*(sqrt(5) + (sqrt(5) - (0 + sqrt(720))))**2*4 + (sqrt(5)*-4*-1 + -5 + sqrt(245))**2. -1370 - 110*sqrt(5) Simplify -3 + -5 + (-2*sqrt(475)*-3 + 3*sqrt(475)*1 + (sqrt(475) - (-1 + sqrt(475) + -1)) + sqrt(475)*2 + 2)**2. 440*sqrt(19) + 57483 Simplify (sqrt(343)/(1*sqrt(7)) - (sqrt(784)*2 + sqrt(49)))/(sqrt(343) + sqrt(343)*1 + 1*sqrt(112)) + 3 + 0. -4*sqrt(7)/9 + 3 Simplify (-3*(((sqrt(320) + 2*sqrt(320))*-2 + 5)*2 - ((-2*sqrt(320)*-1 - (1 + sqrt(320) + -4 + sqrt(320))) + 3)))**2. -6912*sqrt(5) + 414864 Simplify -5*((-4*2*sqrt(475) + 2 - (-3 + sqrt(475) + 0 + sqrt(475) - (sqrt(475) + 1)*-1))**2 + 4) + 4. -287471 + 2200*sqrt(19) Simplify (2*(-4 + (3*6*1*sqrt(170))/(sqrt(10) - sqrt(100)/(sqrt(40) - sqrt(10)) - -2*sqrt(10)*-5) + 2))**2. 144*sqrt(17)/5 + 5908/25 Simplify ((-5*sqrt(77)*1 + sqrt(77))*6)/((sqrt(99) - sqrt(99)*-1)*-6 + sqrt(99) - sqrt(99)). 2*sqrt(7)/3 Simplify (1 + -1*(sqrt(1008) + sqrt(1008)*-2 + 5 + -3)*2)**2*-2. -8082 + 288*sqrt(7) Simplify (-2*sqrt(2200)*6 - (-2*sqrt(2200)*-2 + sqrt(2200)))/(sqrt(450)*1*6). -17*sqrt(11)/9 Simplify (((sqrt(272) + 0)*6)**2 - 5*sqrt(272)*1)*-6*-2 + 0. -240*sqrt(17) + 117504 Simplify (1*1*sqrt(792)*5)/((sqrt(784)*1 + sqrt(784))/(sqrt(648) - (-1*sqrt(648) - sqrt(648)))). 405*sqrt(11)/7 Simplify ((-3*1*sqrt(76))/sqrt(4) + 2 + sqrt(1216) + -1 + sqrt(1216))**2 - -6*(sqrt(1539) + (sqrt(1539) + -3 + sqrt(1539))**2 + -5*(sqrt(76))**2). -568*sqrt(19) + 37922 Simplify ((sqrt(400)/(sqrt(8) + sqrt(40)/sqrt(5)))/sqrt(5))/(sqrt(55)/(-1*sqrt(11)) + 2*sqrt(180) + sqrt(180) + sqrt(180) + sqrt(180) + sqrt(180))*-5. -sqrt(2)/14 Simplify ((sqrt(378) - (sqrt(378) + 2*sqrt(378)*2 - sqrt(378)))/(sqrt(108)/(sqrt(12)*-2 - sqrt(12))))/((sqrt(66)*1*-3)/(sqrt(198)/sqrt(2))). -9*sqrt(7) Simplify -6*(2*-6*-4*-2*sqrt(756))/(((1*sqrt(72)*5 + sqrt(72) + sqrt(72) - sqrt(72)) + sqrt(72))/(sqrt(864)*1)). 20736*sqrt(7)/7 Simplify -5*(((sqrt(3) + -1*sqrt(12) + -3)*2)**2 - (-4*(-3 + sqrt(3) + -5)*1)**2). -1400*sqrt(3) + 5120 Simplify (0 + sqrt(500))**2*-3*-6 + -5*(sqrt(40)/(sqrt(10)/sqrt(5)))/sqrt(4). -5*sqrt(5) + 9000 Simplify ((-4*sqrt(288)/(sqrt(968)*-2))/(((-1*sqrt(84))/sqrt(7) + (sqrt(12) - -6*(sqrt(60)/sqrt(5) + sqrt(12))))*-4))**2. 1/23232 Simplify ((sqrt(231) + (sqrt(231) - 5*3*sqrt(231)) + sqrt(231) - sqrt(231))/((sqrt(7) - sqrt(252))*-1))/((sqrt(15) - -5*sqrt(375))/(sqrt(140)/sqrt(7))). -sqrt(11)/5 Simplify 2*(5*(-5*sqrt(243) + 4) + (sqrt(300)*-3)**2*-2 + -3). -10766 - 450*sqrt(3) Simplify ((-2*(1*sqrt(140)*-2)/sqrt(7))/((-2*sqrt(90)*-6 - sqrt(90))/(sqrt(144)*-1 - sqrt(144))))**2 + -1. 1927/121 Simplify -3 + (3*(sqrt(1331) - (sqrt(1331) + 2)) + -5 + sqrt(
{ "pile_set_name": "DM Mathematics" }
(a) 4 (b) s (c) -4 b Let w be 81291/(-35) - 3/(-5). Let i be 4/(-14) + w/56. Let j = -42 - i. What is the third smallest value in -0.07, 2/15, j? 2/15 Let w = 25 - 177/7. Let z be -2*2/4*-5. Let y = 2 - 1. Which is the smallest value? (a) w (b) z (c) y a Let z = 18.28 - 0.28. Let n = z + -17.5. Which is the second biggest value? (a) 5 (b) n (c) 0.08 b Let g = 124 + -123. What is the third biggest value in 2/5, -1/8, 1.5, g? 2/5 Let s = -863 - -863. Which is the second biggest value? (a) s (b) 1.2 (c) 15 b Let x = -8.82 + -40.28. Let v = 49 + x. Which is the biggest value? (a) 4 (b) 0 (c) v a Suppose -s - 5*r = 8, -3*s + 1 + 15 = -5*r. Let u be -4*68 + s/1. Let q = u - -2434/9. What is the third biggest value in -5, q, 5? -5 Let d = -21.52 + 22. Let y = -0.02 - d. Let b be -1*(-3)/21*-3. What is the third biggest value in b, -1, y? -1 Let o = -626 - -626.2. Let i = 0.63 - 0.03. Let p = 0.1 - i. What is the smallest value in p, -3, o? -3 Let l = -1.47 + -0.03. Let b = -1.77 - l. Let q = b - 0.13. What is the second biggest value in q, 2/5, 4? 2/5 Let q = -1.9 + 1.8. Let o = 25 - 25.9. Let w = o + q. Which is the second smallest value? (a) w (b) -0.3 (c) 3 b Let z be (105/350)/(((-36)/(-370))/3). Which is the biggest value? (a) z (b) -3/5 (c) 1 a Let s = 5.7 - 6. Let d be (-60)/(-42)*(-294)/(-105). Let c = 0.4 - 0.2. What is the second smallest value in d, c, s? c Let p = 301 + -302. What is the second biggest value in p, -2, -0.07? p Let b = 62 - 98. Let q = -37 - b. What is the second smallest value in q, 3, -11, 4? q Let r = 34/9 + -28/9. Suppose 5*s + 120 = 10. Let x = 21 + s. What is the smallest value in x, -0.8, r? x Let y = 63 - 62.7. Which is the second biggest value? (a) y (b) -0.1 (c) -0.09 (d) -3 c Let p = 3 - 7. Let h be -16 + 5 - 9/(-1). What is the biggest value in h, p, -8? h Suppose 11*k - 16*k + 255 = 0. Let q = -363/7 + k. Which is the smallest value? (a) -2/3 (b) -0.1 (c) q c Let p be 8/(-136)*(-2 - 3)/(-25). What is the third smallest value in p, 0, 5? 5 Let u = 12.5 - 15. Let v = u + -1.5. Which is the third biggest value? (a) v (b) 2/7 (c) 1/6 a Suppose -3*y = 2*f + 8, y + y - 2*f + 12 = 0. Let m be 88/(-120) + y/(-30). What is the second biggest value in -1/2, 4, m? -1/2 Let q(a) = a + 8. Let n be q(-5). Suppose 5 = x + n. Let g = -6 + x. What is the second biggest value in 5/4, 2/9, g? 2/9 Let j = 181/5 - 36. Let l(b) = 2*b + 1. Suppose 2*q = 2*d + 4, 0 = -5*d - q + 12 - 4. Let v be l(d). What is the third biggest value in -0.3, j, v? -0.3 Let w = 1.444 + -1.434. Which is the smallest value? (a) w (b) -1 (c) -4 c Suppose -7*v = 48 + 85. What is the third smallest value in -3, 2/21, v? 2/21 Let w(f) = -2*f**2 - 38*f + 235. Let s be w(5). Let y = 1622 - 11425/7. Let o = y + 10. Which is the smallest value? (a) s (b) -0.06 (c) o a Let j = 23.15 + -23. Let n = -20.85 - j. Let t = n - -21.1. Which is the second biggest value? (a) 2/3 (b) t (c) 0.5 c Let g = -11.5 - 0.9. Let y = g + 11.9. Let t = -1 + -2. Which is the second smallest value? (a) -4 (b) y (c) t c Let t = -0.0616 + -0.0584. Which is the third smallest value? (a) 0.4 (b) -13 (c) t a Let i = 4657 + -4648. Let s = -2 - -7. Which is the second biggest value? (a) i (b) -3 (c) s c Let w = -0.4 + -0.6. Let k = -0.4647 + 0.0647. Which is the third biggest value? (a) w (b) k (c) 0.3 a Let z = 1540 + -1540.5. Which is the biggest value? (a) 0.2 (b) z (c) 0.1 (d) 1/2 d Let w = -724 - -677. Which is the biggest value? (a) w (b) 1 (c) 0.2 b Let l = 910 - 910.07. What is the biggest value in l, 4, -8? 4 Suppose -3*g = z + 20, -2*g + 3*g + 5*z + 30 = 0. Let p = 28/3 - 113/12. Let m = -1/68 - 61/476. Which is the third smallest value? (a) g (b) p (c) m b Let i = -240 - -3598/15. Let l(z) = -z**2 - 3*z + 5. Let d be l(-5). Which is the second biggest value? (a) i (b) -2 (c) d b Let g = 3.02 + -3. Let m = -9.02 + g. Let l = m - -6. Which is the biggest value? (a) l (b) 1 (c) 0 b Let w be (-12)/(-55) + 4/(-10). Let b be (-65)/285 + (-22)/209. What is the third biggest value in b, 2, w? b Let u be 20/(-8)*(-8)/(-90). What is the second biggest value in 1, 0, u, -0.124? 0 Let l be (1/(-4))/(2/(-74)). Suppose 37 = 5*v - 2*h, -v - 3*h - h = -25. Let o = v - l. What is the smallest value in -0.3, -0.5, o? -0.5 Let q = 914 + -894. What is the third smallest value in 0.5, q, 9? q Suppose -2*h = -4*h. Let g = 279.21 - 281. Let w = g + 0.99. What is the second biggest value in 2, w, h? h Let w be 22/(-6)*6/(-2). Let l = w + -8. Let i be (0 - 1) + 6/(-4). What is the second smallest value in 4, l, i? l Let y = 0.1 - 1.1. Let v be ((-115)/(-35) - 3) + (-48)/462. Which is the smallest value? (a) y (b) -0.5 (c) v a Let v be ((-44)/(-550))/((-2)/(-30)) - 2. Which is the second biggest value? (a) v (b) -6 (c) 1/3 (d) -7 a Let d = 253 + -255. Let j be 5/(-50)*8/(-6). Which is the second biggest value? (a) 5 (b) j (c) d b Let v = -3359/23 + 146. Let r be (-10 - (-648)/63)/((-24)/14). Which is the biggest value? (a) -0.5 (b) r (c) v c Let q = -166.6 - -172. Which is the third biggest value? (a) 0 (b) q (c) -1/4 c Let y = 9.38 - 4.38. What is the smallest value in 7/8, 1/5, y? 1/5 Let g = -0.02 + 0.32. Let s = -17.15 - -16.85. What is the third smallest value in s, 0, g, -0.2? 0 Let x be -3*((-1)/9)/(-1). Let d be (-6)/(-21) - (-23)/(-154). Let l = d + -17/44. Which is the third biggest value? (a) x (b) l (c) 3/2 a Let v = 260074/79 - 3292. What is the second smallest value in -1, -2, v? -1 Let s be (-4)/(-38) - 0/13. What is the third biggest value in 6/7, 0.3, -4, s? s Let r(n) = -n**3 + n**2 + n - 22. Let o be r(0). Let q be 2 + 3*o/36. Which is the second smallest value? (a) q (b) -0.09 (c) 0 c Let w = -24953/5 + 4991. Let v be (-12)/9*(-9)/8. Let g be 1 - 2/8*5. What is the third smallest value in v, w, g? v Let k = -999.1 - -999. What is the smallest value in -4/5, k, 1/12, 1? -4/5 Suppose -49*r = 43*r + 92. Which is the biggest value? (a) 5.69 (b) 2 (c) r a Let u be (-1 - -3)/2 + (18 - 23). What is the smallest value in -0.6, 2/7, u? u Let q = -68 + 71. What is the third biggest value in 0.5, q, 4? 0.5 Let z = 122 + -119. Which is the third smallest value? (a) -2/9 (b) z (c) -5 (d) 0.3 d Let y = 23/6 - 143/42. Let f = -56 - -56.07. Which is the second smallest value? (a) -4/3 (b) y (c) f c Let p = 252 - 247. Which is the smallest value? (a) -6 (b) -1 (c) -1/3 (d) p a Let k = 2100 - 2111. What is the third biggest value in -0.3, k, 1/4, 1? -0.3 Let j = 0.6 + 0.4. Let q = -0.04 + 4.04. What is the biggest value in j, 5, q? 5 Let m be -25*2/4*10. Let j = m + 628/5. Let s = -0.466 - -0.066. Which is the second smallest value? (a) -0.3 (b) s (c) j a Let z = -388 - -386. Let s = -623/5 - -124. What is the second biggest value in z, 3, -0.3, s? -0.3 Let a(q) = q**3 + q**2 - q + 1. Let c be a(0). Let o = 145 + -144.6. What is the third smallest value in o, 3/7, c? c Suppose 0 = 2*g - 3*g + 1. Let f be ((-4)/(-6)*3)/(238/(-476)). Which is the second biggest value? (a) 5 (b) f (c) g c Let p be 1*10/35*1. What is the third biggest value in -0.2, p, 2/11, 9? 2/11 Let l be ((-2)/(-5))/(2/1). Let c = -181.75 + 182.75. What is the second biggest value in 0.08, l, -0.5, c? l Let x = 2687 - 2687. Which is the second smallest value? (a) x (b) -2/5 (c) -11 b Let p = 11.9 + -12. Let f = 7.7 + -7.6. Which is the smallest value? (a) -4 (b) p (c) f a Let t = -0.62 + 0.6. Let d = -0.12 - t. Let h = 21.8 - 22. Which is the smallest value? (a) -0.5 (b) d (c) h a Let x = 0.06 - -1.94. Let g = x + -2. Let f be (-46)/(-28) + (-39)/273. What is the biggest value in f, 1, g? f Let x = -2.5 + 2.4. Let j = 0 - 0.7. Let s = 0.3 - j. What is the biggest value in x, 2, s? 2 Let o = 168 - 168.4. Which is the third biggest value? (a) 1/2 (b) -6 (c) -1/2 (d) o c Let v = -0.23 + 15.53. Let r = v + -15. Let s = 0.8 - r. What is the second biggest value in 1/6, s, -2/9? 1/6 Let f = -167 - -167. Which is the biggest value? (a) 0.13 (b) -14 (c) f a Let h = -27 + 79/3. Let c be 2/(12/(-2 - 4)). What is the second biggest value in c, h, -0.5? h Let h(a) = 17*a**2 + 6*a + 5. Let v be h(-1). Let l = -201/44 + 19/
{ "pile_set_name": "DM Mathematics" }
8 Express 29*h**2 + 5*h**2 - 17*h**2 - 21*h - 15*h**2 + 2 in the form y*h**2 + m + c*h and give m. 2 Express -50710869 + 2*f**2 + 50710868 + f**3 + f**3 - 147*f as t*f**2 + n*f + d*f**3 + s and give n. -147 Express (1454 - 1454 + 39*j)*(82 - 82 + 5*j + (0 - 6 + 4)*(-j - j + j)) in the form g*j + u + v*j**2 and give v. 273 Express (1 - f - 1)*((1 + 2 - 1 + (-3 + 4 - 2)*(-3 + 1 + 3))*(15 - 20 - 20) + (-2 + 20 - 3)*(-3 + 0 + 1)) as s*f + o and give s. 55 Rearrange -45*q - 4*q**2 - 132*q**4 - 3 + 49*q + 4*q**3 + 131*q**4 to m*q**4 + i*q**2 + z + w*q + k*q**3 and give i. -4 Rearrange (0 + 0 - z)*(-96279*z**2 + 209545*z**2 - 74506*z**2) to c*z + s + h*z**2 + d*z**3 and give h. 0 Express (-2 + 1 + 0)*(-4*q + 4*q + 2*q**3) + (2*q - 415 - 76 + 3536)*(q - q + 2*q**2) as h*q**3 + b*q**2 + t*q + i and give h. 2 Rearrange v**2 - v - 131 + 131 + (4 + 4 + 1)*(-106*v**2 - 101*v**2 - 4*v**2) to the form n*v**2 + u + f*v and give n. -1898 Express 35*r - r**3 - 5*r + 37*r**4 - 3*r**3 + 2 + 29*r - 35*r**4 - r**2 in the form j*r**3 + f*r**2 + a*r + b + y*r**4 and give f. -1 Rearrange (-w + 4*w - 2*w)*((3 - 2 + 0)*(4309*w - 1111*w + 1597*w) - 3*w - 4*w + 5*w) to u*w + f + l*w**2 and give l. 4793 Rearrange -5*b**4 + 8977*b**2 + 8971*b**2 - 17940*b**2 - 2*b**3 + 3*b - 4 to the form f + c*b**4 + d*b**2 + k*b + s*b**3 and give d. 8 Rearrange 0*s**2 - 10*s**2 - 5*s**2 + (4 - 2*s - 4)*(s + 1 - 1) + (-2 + 6 + 3)*(-3*s**2 - 3*s**2 + s**2) to the form d*s + w + z*s**2 and give z. -52 Rearrange (8*b - 4*b - 39*b)*(18 - 25 + 52)*(-2 + 9*b**3 + 9*b**3 - 17*b**3) to the form s*b**3 + v + u*b + f*b**2 + h*b**4 and give v. 0 Express -43 + 5942*w - 33 - 38 + 114 in the form n + q*w and give q. 5942 Rearrange -536*y**2 - 27*y + 5*y + 19*y to j + n*y**2 + w*y and give w. -3 Rearrange -292*f + 2 - 355*f + 5*f**2 + 787*f - 3*f**3 - 321*f to h*f**3 + k + v*f + u*f**2 and give h. -3 Rearrange -567*b - 28*b - 1665*b - 2402*b to the form r + l*b and give l. -4662 Express (-11*s + s + 12*s)*(1 + 0 - 3 + (1 + 1 - 1)*(3 - 1 - 4))*((3 - 4 - 1)*(1 - 4 + 1) - 1 - 1 + 5) in the form m + b*s and give b. -56 Express (8*y + 5 + 2 - 57*y - 7 + 2*y)*(14363*y**2 - 14363*y**2 + 1886*y**3) as p*y**4 + m*y + o + u*y**3 + v*y**2 and give v. 0 Express (3 - 6 + 2)*(f - 1 + 1) - 1259 + 599 + 600 + 2*f as b + o*f and give o. 1 Rearrange -16*i**2 + 4 + 0 - 42*i + 3141*i**3 - 3143*i**3 - 4 to s*i**3 + j + d*i + q*i**2 and give d. -42 Rearrange -4681*w**3 - 5 - 4*w**4 + 0 + w**2 + 4693*w**3 to s*w**3 + z + j*w**4 + a*w**2 + y*w and give s. 12 Express 799*o + 15 - 799*o + 2*o**2 + (-3 + o + 3)*(-1 + 1 + 2*o) + 2*o**2 - 6*o**2 + o**2 in the form m*o + i*o**2 + b and give b. 15 Rearrange (-52*h - 94*h - 10*h)*(4 - 2 + 0)*(-117 + h**2 + 117) to the form u*h**2 + w*h + s*h**3 + y and give s. -312 Rearrange -20*h - 2*h**3 - 9*h - h**2 - 9*h - 7 - 2*h**4 + 11*h to o*h**3 + k + m*h**4 + z*h + p*h**2 and give k. -7 Express ((2 - 1 + 0)*(-40*j + 75*j - 55*j) + (-6*j + 3*j + j)*(-2 - 6 + 1))*(3 + 0 + 0) as i*j + m and give i. -18 Express -2225*d**4 - 22619*d**2 + 4*d**3 + 26*d - 28*d + 22619*d**2 as f*d**2 + s + q*d**4 + j*d + g*d**3 and give s. 0 Rearrange -35*j + 2094 - 77*j - 45*j + 155*j to the form k + y*j and give y. -2 Express (-7647 + 10627 + 11410 + 11121 + 18672)*(1 + 1 + z**3 - 3) as u + h*z**2 + v*z**3 + y*z and give v. 44183 Rearrange -5332*g**3 + 282*g - 5483*g**3 + 10818*g**3 to k*g + o*g**3 + h + z*g**2 and give h. 0 Express 16*z - 6 + 6 + (-z + 4*z + 0*z)*(-3 - 4 + 4) + 180*z + 83*z - 141*z as y + o*z and give o. 129 Rearrange -2*k**3 + 3*k**2 + 44 + 6 - 80*k + 27*k + 25*k + 29*k to the form b*k**2 + o*k + s*k**3 + h and give o. 1 Rearrange (2 - 5 + 2)*(0*n + 0*n - n) - 2*n - n + n + 3 + 2*n - 3 + 4304*n - 265*n + 4944*n to the form t + l*n and give l. 8984 Express -w**2 - 18*w**3 + 7*w**3 + 12*w**3 + 15*w + 38*w + 3*w**2 in the form c*w**3 + u*w**2 + l + a*w and give l. 0 Rearrange 170*b - 2 - 9*b**4 + 2*b**3 + 2*b**2 - 403*b + 234*b to the form a*b**3 + j*b**2 + m + u*b + d*b**4 and give d. -9 Express 667 - 667 + 94*c**2 + 2*c - 2*c - c**2 + (0 + c**2 + 0)*(1 + 2 - 1) - c**2 + 6*c**2 + 3 - 3*c**2 in the form n + y*c + r*c**2 and give n. 3 Express -q + q**4 + q + 5*q**4 - 9 + 9 + (-4*q - 2*q - 4*q)*(-46*q + q + 22*q - q**3) as l + p*q**2 + a*q + r*q**4 + b*q**3 and give l. 0 Express 103*h**4 + 43*h**4 - 37196 + 37185 + h**2 in the form c*h + x*h**4 + m*h**3 + k + y*h**2 and give k. -11 Express 5743 - 774 - l**2 + 0*l - 2*l + 235 + 2*l**2 as q*l**2 + r + w*l and give w. -2 Rearrange 2175 + 44162*y**2 - 2982 - 44161*y**2 - 2813 to c + w*y**2 + k*y and give w. 1 Express (-1 + 7 - 4)*(5*h + 4*h + 160 - 2*h - 62) in the form w*h + i and give w. 14 Rearrange (-467 + 467 + 33*v)*(-3 - 2 + 3)*(-61*v - 40*v + 33*v) to the form r*v + b*v**2 + t and give b. 4488 Rearrange (l**3 + 8*l**3 + 3*l**3)*(-1 - 34 - 12) + 2*l**3 + 4*l - 4*l to the form q + h*l + v*l**2 + f*l**3 and give f. -562 Rearrange 194*c - 72*c + 63*c + 41*c + 1 + 122*c to the form r + p*c and give p. 348 Rearrange 6*j + 20*j + 3*j**2 + 0*j - 32*j + 226 + 8*j to the form i*j + c + b*j**2 and give c. 226 Rearrange 893*x**2 + 616*x**2 + 792*x**2 + 910*x**2 - 3817*x**2 to d + j*x**2 + z*x and give j. -606 Express f**3 + 57*f**2 + 12 + 32 - 74*f**2 in the form k*f**3 + i*f + b + a*f**2 and give a. -17 Express -1559 - 753 + 5*x - x + 2958 in the form r + d*x and give d. 4 Express (-22*p**2 + 78*p - 78*p)*(10*p + 78*p + 57*p) in the form h*p**2 + g + z*p + i*p**3 and give i. -3190 Express (585 - 2523 + 209 - 1144 - 2360 - 530)*(y + 9*y + 4*y) in the form f*y + v and give f. -80682 Express (10 + 10 + 0)*(-1 + 4 - 4)*(40*v - 40*v - 22*v) as q*v + y and give q. 440 Rearrange 2*d + 1 - 294*d**2 + 4*d - 338*d**2 + 574*d**2 to z*d**2 + v + b*d and give v. 1 Rearrange 1796*c + 1808*c - 21 - 5 - 3602*c to u*c + b and give b. -26 Rearrange 560*g + 564*g - 270 - 5544 + 561*g - 1684*g to p*g + a and give p. 1 Express 53*d**3 - 5*d**3 - 15 - 8*d**3 + 131*d**3 + 47*d**3 in the form s + t*d + j*d**3 + i*d**2 and give s. -15 Express q**2 - 248 - 333 - 2*q + 496 - 422 + 2*q**3 in the form k + v*q + l*q**3 + g*q**2 and give v. -2 Rearrange 2*b - 289*b**4 + 2 + 286*b**4 + 0 - 152*b**3 - 69*b**3 to f*b**3 + a*b**2 + g*b + c*b**4 + r and give c. -3 Rearrange 243 - t + 275*t**3 - 2*t**4 + 255 - 499 to the form p*t**2 + m*t**3 + y*t**4 + i + b*t and give m. 275 Rearrange 47*t + 66*t - 11 - 2 - 7*t - 11*t to v*t + f and give f. -13 Rearrange -9054*o + 28 + 18106*o - 9051*o to f + b*o and give b. 1 Rearrange (2*w**4 - 45*w**4 - w**4)*((-1 + 6 - 4)*(2 + 1 - 1)*(-3 + 4 + 1) - 4 - 75 - 133) to m*w**4 + u*w**3 + n*w + r + t*w**2 and give m. 9152 Rearrange 3*d**3 + 6 - 5 - d**3 + 0 + 1 - 355*d**2 to w*d + t*d**2 + p + v*d**3 and give p. 2 Express (153*o**3 + 4922*o - 4922*o)*(-19*o - 23*o + 41*o) + 0*o**4 - 2*o**4 + 4*o**4 as k + p*o**4 + a*o**2 + s*o**3 + l*o and give p. -151 Express -493506*i + i**2 + 493505*i + 58 - 4*i**2 + (3*i - i - i)*(0*i - 15*i - 35*i) as h*i**2 + c*i + v and give h. -53 Rearrange 281*d + 509*d + 273 + 287 - 557 to b + r*d and give r. 790 Express 103*c - c**2 - c**3 - 2*c**4 - 3876 + 111*c + 3878 as p*c + n*c**4 + o*c**2 + u*c**3 + l and give l. 2 Express (-1604*h**3 - 1747*h**3 + 2788*h**3)*(-3 - 2 + 7)*(-1 - 2 + 1)*(-3*h + 4 - 4) as t*h**4 + b*h + y*h**2 + z + i*h**3 and give t. -6756 Express 3*i**2 + 2*i**4 + 27*i + 36*i + 28*i - 29*i - 2 - i**3 as g*i**3 + a*i**2 + r + n*i + d*i**4 and give a. 3 Express (-9 + 9 - 5*j)*(-21*j - 23*j - 11*j)*(-35*j - 21*j + 5*j) in the form n + f*j**2 + s*j + z*j**3 and give z. -14025 Rearrange 11065*z + 11057*z - 22066*z to v + u*z and give v. 0 Express 10 + 29 + 2*s + 21*s**2 - 23 in the form j*s + t*s**2 + u and give u. 16 Express (t + 0*t - 3*t)*(-t + 1 - 1)*(64 - 57 - 34) + (3 + 2*t - 3)*(t + 0*t + 0*t) - 102*t**2 - 4757 + 4757 as s + i*t + n*t**2 and give n. -154 Express -85*o**2 - 101 + 101 + (0*o**2 - o**2 - o**2)*(1 + 0 + 0) - o**2 + 3*o**2 - 4*o**2 - 7*o**2 - o**2 - 7*o**2 in the form h*o**2 + r + b*o and give h. -104 Rearrange 6*u**3 + 60 + 2*u**2 + 0*u**2 - 6407*u - 2*u**2 + 6409*u to i*u**3 + z*u + f + m*u**2 and give f. 60 Rearrange 3*d - d**3 + 1325*d**2 + 6*d**3 - 1326*d**2 + 10*d**3 + 7*d + 2*d**4 to the
{ "pile_set_name": "DM Mathematics" }
when 242 is divided by 47? 7 What is the remainder when 109 is divided by 41? 27 What is the remainder when 357 is divided by 15? 12 Calculate the remainder when 92 is divided by 12. 8 Calculate the remainder when 24 is divided by 15. 9 What is the remainder when 227 is divided by 33? 29 What is the remainder when 34032 is divided by 182? 180 Calculate the remainder when 1184 is divided by 384. 32 What is the remainder when 1610 is divided by 52? 50 Calculate the remainder when 240 is divided by 85. 70 What is the remainder when 320 is divided by 108? 104 What is the remainder when 293 is divided by 9? 5 Calculate the remainder when 449 is divided by 75. 74 Calculate the remainder when 439 is divided by 219. 1 What is the remainder when 3582 is divided by 64? 62 What is the remainder when 8743 is divided by 53? 51 Calculate the remainder when 153 is divided by 30. 3 What is the remainder when 93 is divided by 24? 21 What is the remainder when 6603 is divided by 13? 12 What is the remainder when 75 is divided by 20? 15 Calculate the remainder when 352 is divided by 182. 170 What is the remainder when 33 is divided by 15? 3 Calculate the remainder when 1755 is divided by 44. 39 Calculate the remainder when 276 is divided by 154. 122 What is the remainder when 264 is divided by 49? 19 Calculate the remainder when 109 is divided by 24. 13 What is the remainder when 838 is divided by 42? 40 Calculate the remainder when 343 is divided by 43. 42 What is the remainder when 36764 is divided by 19? 18 What is the remainder when 284 is divided by 88? 20 What is the remainder when 111 is divided by 21? 6 Calculate the remainder when 4533 is divided by 42. 39 Calculate the remainder when 49 is divided by 22. 5 What is the remainder when 181 is divided by 14? 13 Calculate the remainder when 20529 is divided by 3. 0 What is the remainder when 31095 is divided by 6? 3 What is the remainder when 47 is divided by 14? 5 What is the remainder when 255 is divided by 99? 57 What is the remainder when 302 is divided by 13? 3 What is the remainder when 431 is divided by 62? 59 Calculate the remainder when 605 is divided by 74. 13 What is the remainder when 3346 is divided by 17? 14 What is the remainder when 65 is divided by 17? 14 What is the remainder when 186 is divided by 47? 45 Calculate the remainder when 90 is divided by 7. 6 What is the remainder when 1081 is divided by 33? 25 What is the remainder when 135 is divided by 41? 12 What is the remainder when 976 is divided by 74? 14 Calculate the remainder when 283 is divided by 6. 1 Calculate the remainder when 220 is divided by 36. 4 What is the remainder when 58 is divided by 49? 9 What is the remainder when 4092 is divided by 178? 176 Calculate the remainder when 78 is divided by 22. 12 Calculate the remainder when 379 is divided by 10. 9 Calculate the remainder when 318 is divided by 70. 38 What is the remainder when 1970 is divided by 9? 8 Calculate the remainder when 881 is divided by 52. 49 Calculate the remainder when 597 is divided by 20. 17 Calculate the remainder when 332 is divided by 29. 13 Calculate the remainder when 19 is divided by 8. 3 What is the remainder when 45 is divided by 21? 3 What is the remainder when 3773 is divided by 51? 50 What is the remainder when 139 is divided by 50? 39 Calculate the remainder when 140 is divided by 59. 22 Calculate the remainder when 17 is divided by 8. 1 Calculate the remainder when 552 is divided by 51. 42 Calculate the remainder when 1196 is divided by 171. 170 Calculate the remainder when 177 is divided by 20. 17 What is the remainder when 294 is divided by 13? 8 What is the remainder when 3787 is divided by 90? 7 Calculate the remainder when 3850 is divided by 94. 90 Calculate the remainder when 44 is divided by 14. 2 What is the remainder when 17 is divided by 4? 1 Calculate the remainder when 24 is divided by 13. 11 What is the remainder when 261 is divided by 12? 9 What is the remainder when 658 is divided by 108? 10 Calculate the remainder when 25 is divided by 13. 12 What is the remainder when 406 is divided by 163? 80 What is the remainder when 53 is divided by 18? 17 Calculate the remainder when 93 is divided by 11. 5 What is the remainder when 24 is divided by 17? 7 What is the remainder when 401 is divided by 49? 9 Calculate the remainder when 92 is divided by 17. 7 What is the remainder when 283 is divided by 59? 47 What is the remainder when 986 is divided by 277? 155 Calculate the remainder when 574 is divided by 97. 89 Calculate the remainder when 31 is divided by 30. 1 Calculate the remainder when 3836 is divided by 201. 17 What is the remainder when 3463 is divided by 231? 229 What is the remainder when 427 is divided by 121? 64 Calculate the remainder when 41 is divided by 6. 5 Calculate the remainder when 88 is divided by 24. 16 What is the remainder when 521 is divided by 58? 57 What is the remainder when 3267 is divided by 63? 54 Calculate the remainder when 811 is divided by 39. 31 Calculate the remainder when 526 is divided by 136. 118 Calculate the remainder when 1012 is divided by 102. 94 Calculate the remainder when 636 is divided by 8. 4 Calculate the remainder when 388 is divided by 30. 28 Calculate the remainder when 2712 is divided by 23. 21 Calculate the remainder when 158 is divided by 10. 8 Calculate the remainder when 85 is divided by 25. 10 What is the remainder when 558 is divided by 28? 26 Calculate the remainder when 372 is divided by 88. 20 Calculate the remainder when 7494 is divided by 49. 46 Calculate the remainder when 68 is divided by 18. 14 Calculate the remainder when 420 is divided by 193. 34 What is the remainder when 26589 is divided by 8? 5 Calculate the remainder when 39765 is divided by 133. 131 What is the remainder when 3057 is divided by 47? 2 Calculate the remainder when 451 is divided by 88. 11 What is the remainder when 795 is divided by 6? 3 What is the remainder when 771 is divided by 193? 192 Calculate the remainder when 91 is divided by 51. 40 What is the remainder when 142 is divided by 39? 25 Calculate the remainder when 2585 is divided by 374. 341 Calculate the remainder when 295 is divided by 79. 58 Calculate the remainder when 1232 is divided by 6. 2 Calculate the remainder when 154 is divided by 26. 24 What is the remainder when 1224 is divided by 47? 2 What is the remainder when 150 is divided by 26? 20 Calculate the remainder when 173 is divided by 119. 54 What is the remainder when 438 is divided by 90? 78 What is the remainder when 183 is divided by 77? 29 What is the remainder when 781 is divided by 17? 16 Calculate the remainder when 225 is divided by 218. 7 Calculate the remainder when 678 is divided by 7. 6 What is the remainder when 190 is divided by 100? 90 Calculate the remainder when 110 is divided by 28. 26 What is the remainder when 453 is divided by 57? 54 Calculate the remainder when 245 is divided by 165. 80 What is the remainder when 984 is divided by 166? 154 Calculate the remainder when 1392 is divided by 455. 27 What is the remainder when 72 is divided by 32? 8 What is the remainder when 113 is divided by 44? 25 What is the remainder when 7741 is divided by 16? 13 Calculate the remainder when 5148 is divided by 3. 0 What is the remainder when 83 is divided by 14? 13 Calculate the remainder when 757 is divided by 188. 5 What is the remainder when 183 is divided by 37? 35 What is the remainder when 197 is divided by 43? 25 Calculate the remainder when 157 is divided by 81. 76 Calculate the remainder when 226 is divided by 108. 10 What is the remainder when 688 is divided by 140? 128 What is the remainder when 379 is divided by 10? 9 What is the remainder when 628 is divided by 42? 40 What is the remainder when 387 is divided by 22? 13 Calculate the remainder when 91 is divided by 78. 13 What is the remainder when 159 is divided by 11? 5 Calculate the remainder when 361 is divided by 7. 4 Calculate the remainder when 331 is divided by 111. 109 Calculate the remainder when 32 is divided by 31. 1 What is the remainder when 159 is divided by 18? 15 Calculate the remainder when 924 is divided by 45. 24 Calculate the remainder when 564 is divided by 66. 36 What is the rem
{ "pile_set_name": "DM Mathematics" }
ppose -76 = -5*f - 21. Suppose 426 = f*o - 1730. Suppose -3*l - 1685 = -3*r + o, 4*l = -5*r + 3099. Is r a prime number? False Is (6 + -13 + -31870)*(9 + -5 + -5) a prime number? False Let x be ((-58)/6)/((-9)/(-162)). Let z be (((-3)/6)/1)/(1/(-634)). Let q = z + x. Is q a composite number? True Let b = 28 - 11. Suppose -4*j = 12, -2*j = 5*z - j - b. Is (14 - -1248)*2/z prime? True Let o(j) = j**3 - 13*j**2 + 11*j + 17. Let w be o(12). Is (-1262)/w*25/(-10) a prime number? True Suppose -2202336 - 5618059 = -55*s. Is s a prime number? True Let t = 96 - 94. Let g(y) = 800*y**2 - 21*y + 5. Is g(t) prime? True Let z be (-12)/9*(-12)/8. Suppose 0 = -2*c, -2*b - z*b + 2*c = 1616. Let s = 1611 + b. Is s a composite number? True Suppose j + 3*w = 5*j - 99, -5*j - 5*w = -80. Suppose 0 = -y - 3*f + j, 5*f = -2*y + 3*y + 11. Is -4*(24804/(-16))/y a prime number? False Let a be (-40)/(-12)*6/(-4)*-1. Suppose 0 = a*g + 4*p - 3, -p + 4 = 4*g - 5. Suppose n + 3*n = 5*k + 1616, 1207 = g*n - 5*k. Is n a composite number? False Let z(g) = -g**3 + 2*g**2 - 2*g - 3. Let f be z(-1). Suppose -f*t - 1418 = -4*p, 2*p + 7*t - 10*t - 715 = 0. Is p a composite number? False Let r(b) be the first derivative of 218*b**2 + 39*b - 127. Is r(14) composite? False Let f(u) = 356*u**2 + 3*u - 7. Suppose 39*q - 112 = 11*q. Is f(q) a prime number? True Let p(a) = -115*a - 19. Let d = 45 + -60. Let q be -2*(15/(-20) - d/4). Is p(q) a prime number? False Suppose -36526 = -4*k + 20758. Is k prime? True Suppose 268109 = 4*k + v, 5*k + 10244 = -4*v + 345383. Is k a composite number? True Suppose -1896 = 221*v - 217*v. Let f = 1115 - v. Is f prime? False Suppose -20*w - 21*w + 19*w + 831182 = 0. Is w prime? True Suppose 10*n = 4*b + 9*n - 156579, -n - 117434 = -3*b. Is b a composite number? True Suppose 0 = -2*i - 78*w + 80*w + 278018, w = -6. Is i composite? True Let c(p) = -p**2 + 23*p + 3. Let o be c(23). Let f(j) = 32*j**3 - 6*j**2 - j - 4. Is f(o) a prime number? False Suppose -39*o + 2*q = -31*o - 306398, -76595 = -2*o - q. Is o composite? False Let i(f) = 3*f**2 + 5*f - 13. Let t be i(2). Is (7 - 6)*3*28929/t a prime number? True Suppose 0 = -385*g + 395*g - 374090. Is g a composite number? False Let z = 5224526 + -2006057. Is z a composite number? True Suppose 2808937 = 21*p - 1032382 - 1559524. Is p prime? False Suppose -17*x - 364 = 9*x. Is 10823 - (34/14 - (-6)/x) prime? False Let p be ((-5)/4 - 36/(-16)) + 3. Suppose 2*b + 5*t = -31, -4*b + 2*t + 0*t = 2. Is (-5 - -6509)/p + b a prime number? False Suppose -24736 - 60871 + 23812 = -17*s. Is s a composite number? True Let g(w) = 2*w**3 + 16*w**2 - 3*w - 23. Let i be g(-8). Is ((-3877322)/365)/(i + (-7)/5) a composite number? False Suppose -8*c = -5*c - g + 78, -c - 4*g = 39. Is -26 - c - (2 + -4718) a prime number? False Let s(o) = 76*o**3 - 21*o**2 + 25*o - 157. Is s(9) composite? True Let j(m) = m**3 - 7*m**2 - 2*m + 5. Let v(y) = 7*y + 16. Let c(q) = 57*q + 129. Let x(z) = 4*c(z) - 33*v(z). Let b be x(-7). Is j(b) a prime number? True Suppose 0 = -5*i - 3*i + 16. Suppose -i*j - 6 = 0, -10*c = -5*c - j - 1258. Is c a composite number? False Let x(v) = 7*v**2 + 42*v + 121. Is x(-46) a prime number? True Let v = 36 + -22. Is (-13 + v)/(1/5131) a prime number? False Let v be -4*(-3)/6 + 494 + -1. Suppose -v = -4*s + 353. Suppose s = -4*n + 8*n. Is n a prime number? True Let q be 4/5*-1159*(-180)/72. Is q/14 + 84/196 composite? True Let d = 75 - 72. Suppose 2*s + 7*z - 4869 = 12*z, d*s = 2*z + 7309. Is s a prime number? True Is 36008588/462 - 1/(-3) a composite number? True Let o be (-20)/30 + (-1950)/(-9). Let v = o + -505. Let t = v + 587. Is t prime? False Let p(h) = -292*h - 3. Let a be p(1). Let s = 1146 + a. Is s composite? True Let a be (1/1)/(3 + (-2504)/836). Suppose 0*t + a = -3*d + 5*t, 2*t + 55 = -d. Let w = d + 116. Is w a composite number? False Suppose 231898 = 9*n - 6089. Is n prime? False Let d = 117 + -88. Suppose 8*r + d = 101. Suppose -r*l + 3595 = -4*l. Is l a prime number? True Let i = -26 + 47. Let s(b) = -32*b + 40. Let l(a) = 60*a - 89. Let f(u) = -2*l(u) - 5*s(u). Is f(i) a prime number? False Let s(g) = 8076*g**2 + 482*g + 1439. Is s(-3) a prime number? False Suppose 0 = 3*x - 26 - 73. Suppose -31*q - 2738 = -x*q. Is q a prime number? False Let o be 10*19827/(-12)*42/9. Is o/(-85) - 4/34 a prime number? True Suppose -3*q + 6*q = -5*l + 36, 5*q + 4*l - 47 = 0. Suppose q*j + 8844 = 4*o + 5*j, 2*o = 2*j + 4418. Is o prime? True Let y = -4483 - -7742. Let o = 2478 + y. Is o composite? False Let c(b) = 2*b + 1. Let v(m) = -403*m - 2. Let r(w) = -4*c(w) - v(w). Is r(5) a prime number? True Let d be (-7)/(7/5) - (7 - -175). Let u(x) = -25*x**2 + 5*x + 4. Let c be u(6). Let y = d - c. Is y composite? True Suppose 4*a - z - 29 + 3 = 0, -z - 19 = -3*a. Let o(j) = 8*j + 90. Let n be o(0). Suppose -w = -a*w + n. Is w prime? False Suppose q + 6 = 4*q. Let x(i) = 5*i + 8. Let y(l) = -l + 1. Let j(s) = q*y(s) + x(s). Is j(15) a composite number? True Let x(r) = 3246*r**2 - 3. Suppose 4*u - 2*v + 4 = -8, 4*u - 5*v + 12 = 0. Let y be x(u). Is 3/(-12) - y/(-28) composite? True Let k(v) = -4*v + 2*v**3 + 3*v - v**2 + 2*v + 1171. Is k(0) composite? False Let k(m) = -m. Let b(l) = -282*l + 33. Let q(o) = -b(o) + 6*k(o). Let s be q(9). Suppose 2*r - s = -5*i, -741 = -i - 2*r - 246. Is i a prime number? False Suppose 0 = -4*o - r + 132592, -3*o = -2*r - 78650 - 20805. Is o composite? False Let l be 3/39 - 70084/182. Let z = l + 2456. Is z a prime number? False Suppose 0 = 17*p - 13*p + 8. Is ((-4)/(-10))/(p/(-6185)) prime? True Suppose 3*p - k - k = 174, -4*k - 288 = -5*p. Is 74508/p - (-20)/(-25) a composite number? True Let w(q) = -43*q - 31. Let m = -563 - -549. Is w(m) a prime number? True Suppose -1924 = -31*z + 29*z. Suppose 7*f = 9*f - z. Is f prime? False Suppose 0 = -2*h + 2, 302212 = 9*i - 4*i - 3*h. Is i a composite number? False Suppose -37053 + 27030 = -60*y + 44637. Is y prime? True Suppose -5*n - 2 + 27 = 0. Suppose 2*j = -n*j + 28. Suppose 3*u = j*x - 163 - 2416, -3*u = 4*x - 2549. Is x prime? True Suppose -213161 = 2*b + 11*b. Let o = b + 24006. Is o composite? True Let t = -892553 + 1625902. Is t composite? True Suppose -2*y - 12 = 4*j, -5*j - 8*y = -13*y. Is (2 - j/(-2)) + 2743 + -1 prime? False Suppose -44*j + 49*j = 2*h - 93945, 0 = -4*h + j + 187827. Is h a composite number? True Let a(w) = -w**2 - 5*w - 6. Let i(h) = 3*h**2 + 11*h + 11. Let g(x) = 5*a(x) + 2*i(x). Let o be g(5). Suppose 0*j = o*j - 474. Is j prime? False Let q(v) = v**3 - 5*v**2 - v - 8. Suppose -z - 3*k + 8*k = -6, 3*z = -3*k + 18. Let d be q(z). Is -28*3/((-24)/d) a composite number? True Let g(q) = 252*q**2 + 7*q - 3*q + 29 + 4*q + q. Is g(6) prime? False Let b = 9243 + -6521. Suppose -165*i + b = -163*i. Is i composite? False Let v = 151263 + -77680. Is v composite? False Let u = -123 + 309. Is 348/(-36)*u/(-2) prime? False Let a = 123709 + -41258. Is a a prime number? False Let t(r) = r**3 + 6*r**2 - 13*r + 16. Let y be t(-9). Let o = -80 - y. Suppose o*q = 26*q + 764. Is q a composite number? False Suppose 0*p + 5*k = -2*p + 19, 5*k - 23 = -4*p. Let l(w) = 3 - 22*w - 2 + 0*w - 8*w**3 - 12*w**p. Is l(-8) a prime number? False Let v = 392 + -388. Let n(k) = 1453*k**2 + 30*k + 1. Is n(v) prime? True Let j = 644 + -644. Suppose 63*s - 62*s - 22531 = j. Is s composite? False Suppose -3*m - 925396 = -7*b, 2*b = 5*m - 37693 + 302096. Is b composite? False Suppose 0*a = 6*a - 2016. Let q = 736 - a. Suppose 4*k - q - 124 = 0. Is k a composite number? False Suppose -7 = -13*d + 12*d. Suppose 0 = -d*w - 1683 + 23089. Suppose 3*z + z + 2*s = 2438, 5*z - w = s. Is z composite? True Let h(d) = d**3 + 12*d**2 - 11*d + 29. Let k be h(-13). Suppose -12*l + k = -9. Is 1/(-2) - (l - 3469/2) composite? False Suppose 10 = 5*t + 2*z, 4*t - 7*z + 2*z = 8. Suppose i = -5*h + 3 + 3, 0 = t*h + 2. Is (-1 + 382 + 1)*i/2 prime? False Let y(s) = -16*s**3 + 15*s**3 - 7 + s**2 - 4*s**2 - 17*s. Is y(-16) prime? True Let t = 82 + -64. Suppose -22*h + t*h = -1924. Is h prime? False Suppose 36*v + 399698 = -7434478. Is (v/(-21) - -1)/((-1)/(-3)) a prime number? True Suppose -a = 2, -149*m + 144*m + 74789 = -2*a. Is m prime? True Let i(h) = 26146*h**2 + 16*h
{ "pile_set_name": "DM Mathematics" }
derivative of -11851*a**2 - 3*a + 2042 wrt a? -23702 Find the third derivative of -698*f**4*u**2 + 6*f**2*u**2 + 80*f**2 wrt f. -16752*f*u**2 Find the third derivative of 5827*o**3 - o**2 + 12*o + 118 wrt o. 34962 Find the first derivative of -2*z**4 + 702*z**3 + 2*z**2 + 7807. -8*z**3 + 2106*z**2 + 4*z Find the third derivative of -1954*g**4 + 463*g**2. -46896*g What is the third derivative of 22165*v**6 + 26778*v**2? 2659800*v**3 Find the second derivative of -5*c**4*g + 4*c**2*g - 119*c*g wrt c. -60*c**2*g + 8*g What is the derivative of -d*m**2 - 64*d + 22*m**2 + 2 wrt m? -2*d*m + 44*m What is the second derivative of 17323*j**4 + 62*j - 73? 207876*j**2 What is the first derivative of -31*z + 91 wrt z? -31 What is the second derivative of -3*y**4 - 389*y**3 - 1865*y wrt y? -36*y**2 - 2334*y Find the second derivative of -4146*j**3 + 3698*j wrt j. -24876*j Find the third derivative of 7007*t**3 + 10*t**2 - 124 wrt t. 42042 What is the third derivative of i*j**4 - 136*i*j**2 + 14*i*j + 17807*j**4 wrt j? 24*i*j + 427368*j Differentiate -2*c**3*n**2 - 2*c**2*n**3 - c**2 + 12*n**3 + 2*n wrt c. -6*c**2*n**2 - 4*c*n**3 - 2*c Differentiate 13*b*i**4 - b*i - 6*b - 198 wrt i. 52*b*i**3 - b Find the second derivative of -2*h**2*n*o**3 + 16*h**2*n*o**2 + 2*h**2*n*o + h*n*o + 2*h*o**3 - 6*n wrt h. -4*n*o**3 + 32*n*o**2 + 4*n*o What is the first derivative of 4*b**2*h**3 - 3*b*h**3 + 4*b*h + h**3 - 51*h wrt b? 8*b*h**3 - 3*h**3 + 4*h What is the third derivative of -1125*a**3*c**3 - 3*a**3*c**2 + 98*a**3 wrt c? -6750*a**3 Find the second derivative of q**2 + 36*q. 2 What is the second derivative of 17*r**2*s**3 - 2*r**2 + r*s**3 + 3*r*s + 2*r wrt r? 34*s**3 - 4 What is the third derivative of 2042*v**5 + v**4 - v**2 + 153? 122520*v**2 + 24*v Differentiate 127*c*r + c + 93 with respect to r. 127*c Find the first derivative of 2*o*v - 242*o - 5*v - 66 wrt o. 2*v - 242 What is the second derivative of 59*h**3 + h**2*m**2 - 4*h**2*m - 3*h*m**2 + 30*h*m wrt h? 354*h + 2*m**2 - 8*m What is the second derivative of 6*q**4 + 63*q**3 - 1122*q wrt q? 72*q**2 + 378*q Differentiate 4*l*y**4 - 16*l*y**3 - 2*l*y - 2452*l wrt y. 16*l*y**3 - 48*l*y**2 - 2*l Find the third derivative of -8452*a**3 + 27644*a**2 wrt a. -50712 Find the second derivative of -f**2*k**2*z**2 + f**2 + f*k*z**3 - 75*k**2*z**3 + 10*k + 14*z wrt k. -2*f**2*z**2 - 150*z**3 Find the third derivative of 21*k**3*z**3 + 3*k**3*z**2 + 4*k*z**5 + k*z**2 - 2*z wrt z. 126*k**3 + 240*k*z**2 Find the second derivative of 2*f**2*r*z + 3*f**2*r - 255*f**2 + 44*f*r + 2*f*z wrt f. 4*r*z + 6*r - 510 Find the second derivative of -2*f*x**3 - 18*f*x**2 - 2*f + 52*x**3 - 3*x - 57 wrt x. -12*f*x - 36*f + 312*x Find the second derivative of -237*h**3 - 24*h - 2 wrt h. -1422*h Differentiate -5*d*r*u**2 - 3*d*r + 5*d*x - 8*d + 99*u*x - 1 with respect to u. -10*d*r*u + 99*x What is the derivative of -2450*x + 462 wrt x? -2450 Find the third derivative of 8222*c**3*r**3 - 10*c**3*r**2 + 12*c**2*r**2 - c**2 + c*r**2 wrt r. 49332*c**3 Differentiate -39*c*l**3*z - 2*c*l*z**3 - 3*l**3*z**3 + 13*l*z**3 with respect to c. -39*l**3*z - 2*l*z**3 Find the third derivative of -l**4 + 335*l**3 - 2651*l**2. -24*l + 2010 Find the second derivative of -453*l**3 + 6484*l. -2718*l Find the third derivative of -8*c**2*i*y**3 + 3*c**2*y**2 - c**2 + 1121*c*i*y - c*y**3 + 467*i*y**3 wrt y. -48*c**2*i - 6*c + 2802*i What is the second derivative of -f*i**4 + 49*f*i**3 + 9*f*i - 6*i**3 + 8*i wrt i? -12*f*i**2 + 294*f*i - 36*i What is the third derivative of 5*z**6 - 2*z**5 - 10*z**3 + 325*z**2 + 3*z? 600*z**3 - 120*z**2 - 60 Find the third derivative of -4*t**6*z**2 - 62*t**6 + 29*t**2*z**2 - 3 wrt t. -480*t**3*z**2 - 7440*t**3 Find the third derivative of 3*g**3*r**3 - 44*g**3 + 6*g**2*r**3 + 13*g**2*r**2 wrt g. 18*r**3 - 264 Find the third derivative of -119*d**2*h**3 - 7*d**2 + 9*d*h**2 + 2*h**3 wrt h. -714*d**2 + 12 What is the first derivative of 519*w**2 - 231 wrt w? 1038*w What is the first derivative of 16*n*o**3 - 7*n*o - 5354*o**3 wrt n? 16*o**3 - 7*o What is the third derivative of -220*u**3 + 224*u**2? -1320 Find the second derivative of 134*m**2*q**3*x**2 - 20*m**2*q*x**2 + 3*m*q*x**2 - 3*q**3*x**2 - 10*q**3*x + 4*q**2*x**2 wrt m. 268*q**3*x**2 - 40*q*x**2 What is the third derivative of -6*z**6 + 6*z**4 + 12*z**3 + z**2 - 2*z + 38 wrt z? -720*z**3 + 144*z + 72 What is the third derivative of -131*o**3*q**4 + 15*o**3 + 31*o**2*q**2 + 8*o*q**6 wrt q? -3144*o**3*q + 960*o*q**3 What is the third derivative of 18*o**4 + o**3 - 8*o**2? 432*o + 6 Find the second derivative of 2296*q**5 + q**4 - q**3 + 27*q - 233 wrt q. 45920*q**3 + 12*q**2 - 6*q What is the second derivative of 44*h*o**2*u - 2*h*o**2 + 925*h*o*u - 2*h*o + o**2*u - 2*o**2 + 2*o*u wrt o? 88*h*u - 4*h + 2*u - 4 Find the second derivative of 1869*n**3*r**2 - 110*n**3*r - 3*n**3 + 2*n**2*r wrt r. 3738*n**3 Differentiate -20*j**3*o - 630*j**3 + 21*o**3 + o with respect to o. -20*j**3 + 63*o**2 + 1 Find the first derivative of h**3*p*x + 12*h**3*p - 2*h**3*q*x - 9*h**3*x - 4*h**2*q*x - 4*h**2 - 5*h*p*q wrt p. h**3*x + 12*h**3 - 5*h*q Find the second derivative of 925*r**2 + 152*r. 1850 What is the second derivative of -998*o**2 - o - 270? -1996 What is the second derivative of 17*a*l**4 + 8*a*l**3 + 147*a*l wrt l? 204*a*l**2 + 48*a*l Find the third derivative of 4*k**6 - 58*k**5 + 4293*k**2 wrt k. 480*k**3 - 3480*k**2 Find the second derivative of 9*t**2 + 11*t + 58. 18 Find the third derivative of -27*h**5 + 355*h**2. -1620*h**2 Differentiate 4*q**3*v*x + 3*q**3*x - 2*q*x + 45*v**2 + 212 wrt v. 4*q**3*x + 90*v What is the derivative of 95*y**2 - 35*y + 19714 wrt y? 190*y - 35 Find the first derivative of -12*f**3*k + f**3 - f**2*s + 149*k - s wrt f. -36*f**2*k + 3*f**2 - 2*f*s Find the second derivative of 2*j**2*u**2 + 7*j**2*u*y**2 - 2*j**2*y**2 - 2*j**2 + j*u**2*y**2 + 18*j*y wrt y. 14*j**2*u - 4*j**2 + 2*j*u**2 Find the third derivative of -4183*h**3*t + 17*h**2*t + 4*h**2 + 2*h - 4 wrt h. -25098*t Find the third derivative of -1341*o**5*p + o**3*p + 25*o**2*p + 16*p - 2 wrt o. -80460*o**2*p + 6*p Find the first derivative of -5*c**3*i*v + c**3*p*v**2 + c**2*i*p*v + 17*c*p - 4*i*v**2 wrt i. -5*c**3*v + c**2*p*v - 4*v**2 What is the third derivative of -3257*z**3 + 16*z**2 - 86*z? -19542 Find the third derivative of -o**4*w - 15*o**3*w**2 + 8*o**2*w**2 - 2*o*w**2 - w**2 wrt o. -24*o*w - 90*w**2 What is the second derivative of 63*n*y**3*z + 3*n*y**2*z + 3*n*y**2 + n + y**2 + y*z + 12*z wrt y? 378*n*y*z + 6*n*z + 6*n + 2 What is the third derivative of 513*j**3 - 2*j**2 + 56*j? 3078 What is the second derivative of -71*d**4 + 2*d**3 + 134*d? -852*d**2 + 12*d What is the second derivative of 3*i**3*u*w**2 - 21*i**3*w - 2*i**2*w**3 + 6*i*u + 2*i*w**3 + 59*u*w**2 wrt i? 18*i*u*w**2 - 126*i*w - 4*w**3 What is the third derivative of -5*m**5*z - 351*m**5 + m**3*z - 15*m**2*z - 43*m + z wrt m? -300*m**2*z - 21060*m**2 + 6*z What is the second derivative of 2*k*n**3 - 2*k*n - k - 43*n**4 - 561*n wrt n? 12*k*n - 516*n**2 Find the first derivative of -5*q**3 - q**2 - 18*q - 6770. -15*q**2 - 2*q - 18 Find the third derivative of 113*i**5 + i**4 - 4*i**3 + 1859*i**2 + i wrt i. 6780*i**2 + 24*i - 24 Differentiate 11*c*d**3*t - 13*c*t**3 + 2*d**3*t**3 + 173*d*t**3 with respect to c. 11*d**3*t - 13*t**3 Find the third derivative of -o**4*t**3 + 8*o**4*t - 6*o**3 - 735*o**2*t**2 + t**3 wrt o. -24*o*t**3 + 192*o*t - 36 Find the second derivative of -n*r*u**2*y + 84*n*r*u**2 - 8*n*u*y - 2*n*y - 3*r*u**2*y + 2*r*u*y - r*u - 14*r - 4*u**2 - u*y wrt u. -2*n*r*y + 168*n*r - 6*r*y - 8 Find the first derivative of 5*p**2*z + 407*p**2 + 40*z + 48 wrt p. 10*p*z + 814*p What is the second derivative of -408*p**4 - 3*p**3 + 2196*p + 2? -4896*p**2 - 18*p Find the second derivative of -12*h**5 - 2*h**3*r + 22*h**2*r - 6*h*r + h + 32*r wrt h. -240*h**3 - 12*h*r + 44*r What is the derivative of -5224*b - 8193? -5224 Find the first derivative of 6103*k - 8918 wrt k. 6103 What is the second derivative of -8*v**5 - 29*v**4 - 61*v? -160*v**3 - 348*v**2 What is the first derivative of -10391*q**3 - 6908? -31173*q**2 What is the third derivative of 379*q**3 + 159*q**2 + 2 wrt q? 2274 Find the third deri
{ "pile_set_name": "DM Mathematics" }
? -1.5 Let s = 0.666 - 0.6117. Let x = 0.05892 - s. What is x rounded to 4 decimal places? 0.0046 Let r = -3.07 + 3.069999615. What is r rounded to seven dps? -0.0000004 Suppose 5*h - 607975 = -2*o, 0 = 4*o - 8*h + 6*h - 1216010. Round o to the nearest ten thousand. 300000 Let v = 10899221.68 - -823825468.32. Let m = 834724738.00000232 - v. Let i = m - 48. What is i rounded to 7 dps? 0.0000023 Let a = -10.1 + 14.2. Let y = -195.1 + a. Let o = -198.7 - y. Round o to zero dps. -8 Let c = 2.540643 + -2.6616607. Let h = c + 0.121. Round h to six decimal places. -0.000018 Let n = -493.9 - -493.8996899. What is n rounded to 5 dps? -0.00031 Let d = -84.14 - 0.86. Let y = -85.000292 - d. Round y to four dps. -0.0003 Let y = -0.05 + -11.95. Let n = y - -12.02. Let d = n + 0. Round d to one dp. 0 Let n = 48 - -18. Let h = n + -66.00000023. Round h to seven decimal places. -0.0000002 Let d = -9970.622 - 5147578.378. Let r = d + 5157549.8100049. Let a = -0.81 + r. What is a rounded to 6 dps? 0.000005 Let h = 0.957 - 0.956849. What is h rounded to five dps? 0.00015 Suppose 188*g = 180*g + 90800000. Round g to the nearest one million. 11000000 Let l = -752 - -749.57. What is l rounded to 0 decimal places? -2 Let q = -350 - -349.9999051. What is q rounded to six dps? -0.000095 Let g = -141 - -140.99855. Round g to four decimal places. -0.0015 Let g = 0.313 + -0.746. Round g to two decimal places. -0.43 Let u = -167 + 119. Let o = -47.99999864 - u. Round o to seven decimal places. 0.0000014 Let c(x) = -x**3 - 9*x**2 - 8*x - 5. Let a be c(-8). Let m be a/2 - 2/(-4). Let b be m/(-4) - (-70396)/8. Round b to the nearest 1000. 9000 Let c = 15532.9400894673941 + -5024251090.9400886973941. Let t = c - -5024235526. Let g = t + 32. Round g to 7 decimal places. 0.0000008 Suppose 5*f - 11 = -0*f + 3*r, 5*r = 4*f - 1. Suppose -q - f*q + 4*m = 1014, 4*q + 4*m = -840. Round q to the nearest ten. -210 Let i = -658.647 + 659. Let a = i + -0.36259. Round a to three dps. -0.01 Let o = -50911.2 + 3978.2. Let c = o - -46950.0056. Let v = c + -17. Round v to 3 dps. 0.006 Suppose 2*w + 0*b - 246 = 4*b, -5*b = -w + 138. Let s = 463 + -461. Suppose -327 = s*r + 3*l - w, -2*r - l - 218 = 0. What is r rounded to the nearest 100? -100 Let z = -395002.92972 + 395022. Let j = -19 + z. Let y = -0.07 + j. Round y to four decimal places. 0.0003 Let q = 385 - 384.999999921. What is q rounded to 7 dps? 0.0000001 Let p be (-13719)/(-34)*(-4000)/(-3). Round p to the nearest one hundred thousand. 500000 Let t = -18.92 + -530.88. Let v = -600 - t. Round v to the nearest 10. -50 Let z be (-2)/14 - (-564810)/(-42). Let o = -7748 - z. Round o to the nearest 1000. 6000 Let c = 127 - 252. Let a = c - -124.507. Round a to one decimal place. -0.5 Let c be (-1 + -4)*6/(-15). Suppose c*a - 4*a = 6247932. Let l = a + 1523966. What is l rounded to the nearest 1000000? -2000000 Let s = 424.658 + -424. Let z = s - -0.022. Round z to 1 decimal place. 0.7 Let y = 52.6 + -8.6. Let j = -44.00136 + y. Round j to 4 decimal places. -0.0014 Let w(a) = -3942*a - 2. Let z(f) = 1. Let j(d) = 4*w(d) + 12*z(d). Let q be j(3). Round q to the nearest 1000. -47000 Suppose -2*x - 6 = 0, -2*x + 3*x + 1 = -z. Suppose z*c = 34 - 618. What is c rounded to the nearest 100? -300 Let c = 4332.03611 - 4332. Round c to three decimal places. 0.036 Let p = -235.94726891733 - 0.05274398267. Let n = -236 - p. What is n rounded to six dps? 0.000013 Let a = 0.226 - 0.153. Round a to one dp. 0.1 Suppose 5*d + 2*x = -28, 6*d + 25 = 2*d + x. Let s be -2 + 112815/12 - d/8. Round s to the nearest one thousand. 9000 Let w(b) = b**3 + 6*b**2 + 2*b - 10. Let o be w(-5). Let f be o*158750*(-3 - -19). Round f to the nearest one million. 13000000 Let a = 0.0727090607 - 0.07271. Round a to seven dps. -0.0000009 Let d be -168*(689 - -12 - 2/2). What is d rounded to the nearest ten thousand? -120000 Let c = 0.04 - 8.84. Let k = c + 63.8. Let r = 54.99999795 - k. Round r to seven dps. -0.0000021 Let m be (-11)/44 + (-1321200003)/(-12). Round m to the nearest one million. 110000000 Let s(b) = 3*b**3 + b**2 + b + 1. Let i be s(-1). Let q be ((-190)/(-15))/((-20)/(-9) + i). Round q to the nearest 10. 60 Let s(b) = -4*b**2 - 17*b + 8. Let v be s(-12). Let r be v/10 - (-6)/15. Let z be (30000/9)/(2/r). What is z rounded to the nearest ten thousand? -60000 Let v(r) = 2128*r**2 + r + 2. Let y be v(-1). Let c(n) = -9*n**2 - 13*n + 11. Let p be c(-12). Let g = p + y. Round g to the nearest ten thousand. 0 Let o = -1848 + 1848.006836. What is o rounded to 4 dps? 0.0068 Let q = 4052448.000049 + -4052458. Let d = -22.3 + 32.3. Let c = d + q. Round c to 5 dps. 0.00005 Let a(z) = -18828*z**2 + 20*z - 88. Let i be a(18). What is i rounded to the nearest one hundred thousand? -6100000 Let h = -162.931 + 115.9314. Let d = h + 47. What is d rounded to 3 decimal places? 0 Let h be (-632)/12 - 8/6. Let b = -135 - h. Round b to the nearest ten. -80 Let r = 0.319112268 - 49.319118568. Let m = -52.6 - -3.6. Let o = r - m. Round o to six dps. -0.000006 Suppose -4*d - 3*y + 12279997 = 0, 12280003 = -16*d + 20*d - 3*y. Round d to the nearest 100000. 3100000 Let b(p) = -20*p**3 + 20*p**2 + 77*p + 21. Let q be b(-33). What is q rounded to the nearest one hundred thousand? 700000 Let d = 17430060.58 + -17418924.48939. Let f = -11136 + d. Let z = 0.092 - f. Round z to four dps. 0.0014 Let n(i) = 543*i + 858*i + 2 + 21. Let b be n(-23). Round b to the nearest ten thousand. -30000 Let r = -9.07 + 9. Let m = r - -3.27. Let i = 3.265 - m. Round i to 2 dps. 0.07 Let x(h) = h**2 + 8*h + 5. Let y be x(-8). Suppose -y*n = -3*s + 32, n + 16 = 2*s + s. Suppose 640 = -s*v + 8*v. Round v to the nearest 100. 200 Let y be (2/7)/(2/28). Let h be (-3)/(-1) - (-2 + 0). Suppose -y*k - 5*t + 1479 = -1946, 2*t = -h*k + 4294. What is k rounded to the nearest one hundred? 900 Let f = 2686 - 1386. What is f rounded to the nearest one hundred? 1300 Let j = -478 - -4. Let d = j + 474.413. What is d rounded to two dps? 0.41 Let h = -433.999999636 - -434. What is h rounded to 7 decimal places? 0.0000004 Let m = 42.5 - 36.84. Round m to the nearest 10. 10 Let f(y) = 181153*y**3 + 14*y**2 - 5*y + 4. Let o be f(4). What is o rounded to the nearest one hundred thousand? 11600000 Suppose 0*d + 3*d = 9, 0 = 2*i + 5*d + 833. Let b be 100/3*(1 + i). What is b rounded to the nearest 1000? -14000 Let h = -184.8 - -243.28. What is h rounded to the nearest 10? 60 Let a(q) = -5*q + 1. Suppose 0 = -3*n + 4*f - 3, -n + 2*f - 1 = 5*f. Let b be a(n). Suppose b*u = 2*u - 16000000. What is u rounded to the nearest 1000000? -4000000 Let o = 2030.00000871 + -2030. What is o rounded to 6 dps? 0.000009 Let s = -6.1 + 6.09234. What is s rounded to 4 decimal places? -0.0077 Let o = -1 + 26. Let j = o + -25.001. Let n = j - -0.001029. What is n rounded to 5 decimal places? 0.00003 Let d = 6174278316 - 6174278224.99999902. Let t = -91 + d. What is t rounded to 7 decimal places? 0.000001 Let d = 0.87803 - 1.268. Let w = d - -0.39. What is w rounded to four decimal places? 0 Let r(p) = 6*p**2 - 82*p + 18. Let h be r(14). What is h rounded to the nearest one hundred? 0 Let w = -926.0000397 + 926. Round w to six dps. -0.00004 Let f be (-1 - -6) + -2 - -2. Suppose 3*q - 65 = -f*t, 0 = 2*q - q - 5*t - 15. Let c be q/3*-48125*48. Round c to the nearest one million. -15000000 Let j(g) be the third derivative of g**5/60 + g**3/2 - g**2. Let u be j(0). Let t be 118 + 1/(1/u). Round t to the nearest ten. 120 Let q = 7.6117 + 0.0883. What is q rounded to the nearest 10? 10 Let r = -43.1 - -42.387. Round r to one dp. -0.7 Suppose 0 = -5*d - 5*q + 4779 + 63891, -27473 = -2*d - q. Let u = d + 13945. Suppose 5*b + 2184 = u. Round b to the nearest one thousand. 5000 Let c = -1.12198807 + 1.122. Round c to 6 decimal places. 0.000012 Let h = -1181.2447895 - -1156.24479. Let y = 25 + h. What is y rounded to 6 dps? 0.000001 Let t = -888.1 - -105.1. Let r = t + 846.9. What is r rounded to the nearest 10? 60 Let g = 6578.000010686 + -6578. Round g to six dps. 0.000011 Suppose -2*u = -5*v - 18, -5*u - 4*v + 2 = 23. Let i(n) = n**2 - n - 1. Let s be i(u). Let o be (563 - (2 - s)) + -2. What is o rounded to the nearest 100? 600 Let x = 0.152 + -44.652. Let
{ "pile_set_name": "DM Mathematics" }
by 71? 61 What is the remainder when 323 is divided by 117? 89 Calculate the remainder when 11173 is divided by 127. 124 Calculate the remainder when 56 is divided by 43. 13 Calculate the remainder when 137 is divided by 16. 9 What is the remainder when 812 is divided by 48? 44 Calculate the remainder when 1909 is divided by 334. 239 Calculate the remainder when 1207 is divided by 174. 163 Calculate the remainder when 185 is divided by 17. 15 Calculate the remainder when 1697 is divided by 17. 14 What is the remainder when 70 is divided by 22? 4 Calculate the remainder when 2551 is divided by 366. 355 What is the remainder when 14267 is divided by 116? 115 What is the remainder when 115 is divided by 15? 10 What is the remainder when 215 is divided by 44? 39 What is the remainder when 109 is divided by 41? 27 Calculate the remainder when 725 is divided by 53. 36 Calculate the remainder when 744 is divided by 268. 208 Calculate the remainder when 504 is divided by 121. 20 Calculate the remainder when 608 is divided by 10. 8 What is the remainder when 513 is divided by 57? 0 What is the remainder when 334 is divided by 85? 79 What is the remainder when 172 is divided by 47? 31 Calculate the remainder when 3628 is divided by 1207. 7 What is the remainder when 26 is divided by 16? 10 What is the remainder when 626 is divided by 105? 101 What is the remainder when 152 is divided by 40? 32 Calculate the remainder when 1696 is divided by 1676. 20 What is the remainder when 73 is divided by 27? 19 Calculate the remainder when 182 is divided by 2. 0 Calculate the remainder when 539 is divided by 15. 14 What is the remainder when 172 is divided by 89? 83 Calculate the remainder when 617 is divided by 156. 149 Calculate the remainder when 645 is divided by 100. 45 What is the remainder when 334 is divided by 19? 11 Calculate the remainder when 186 is divided by 10. 6 Calculate the remainder when 518 is divided by 29. 25 Calculate the remainder when 717 is divided by 49. 31 What is the remainder when 70 is divided by 10? 0 Calculate the remainder when 365 is divided by 195. 170 Calculate the remainder when 3404 is divided by 61. 49 What is the remainder when 1239 is divided by 17? 15 What is the remainder when 1543 is divided by 132? 91 What is the remainder when 312 is divided by 111? 90 Calculate the remainder when 456 is divided by 23. 19 Calculate the remainder when 123 is divided by 60. 3 What is the remainder when 7872 is divided by 35? 32 Calculate the remainder when 255 is divided by 28. 3 What is the remainder when 214 is divided by 9? 7 What is the remainder when 38 is divided by 23? 15 Calculate the remainder when 253 is divided by 8. 5 Calculate the remainder when 854 is divided by 170. 4 What is the remainder when 295 is divided by 19? 10 Calculate the remainder when 105 is divided by 3. 0 What is the remainder when 2379 is divided by 474? 9 What is the remainder when 662 is divided by 44? 2 What is the remainder when 985 is divided by 33? 28 Calculate the remainder when 108 is divided by 7. 3 Calculate the remainder when 2459 is divided by 6. 5 Calculate the remainder when 99 is divided by 51. 48 Calculate the remainder when 234 is divided by 34. 30 Calculate the remainder when 112 is divided by 62. 50 What is the remainder when 1021 is divided by 78? 7 What is the remainder when 108 is divided by 10? 8 What is the remainder when 473 is divided by 25? 23 Calculate the remainder when 72 is divided by 10. 2 Calculate the remainder when 399 is divided by 66. 3 Calculate the remainder when 3084 is divided by 258. 246 Calculate the remainder when 1040 is divided by 253. 28 Calculate the remainder when 230 is divided by 118. 112 Calculate the remainder when 1951 is divided by 122. 121 Calculate the remainder when 200 is divided by 142. 58 Calculate the remainder when 1434 is divided by 351. 30 What is the remainder when 2119 is divided by 162? 13 Calculate the remainder when 538 is divided by 25. 13 What is the remainder when 178 is divided by 8? 2 Calculate the remainder when 2439 is divided by 20. 19 Calculate the remainder when 358 is divided by 73. 66 Calculate the remainder when 196 is divided by 78. 40 What is the remainder when 294 is divided by 269? 25 Calculate the remainder when 169 is divided by 51. 16 Calculate the remainder when 177 is divided by 13. 8 What is the remainder when 63 is divided by 23? 17 What is the remainder when 182 is divided by 96? 86 What is the remainder when 8499 is divided by 13? 10 What is the remainder when 288 is divided by 263? 25 Calculate the remainder when 18295 is divided by 15. 10 Calculate the remainder when 403 is divided by 45. 43 Calculate the remainder when 242 is divided by 23. 12 What is the remainder when 1923 is divided by 77? 75 What is the remainder when 14 is divided by 7? 0 Calculate the remainder when 6354 is divided by 227. 225 What is the remainder when 23653 is divided by 95? 93 What is the remainder when 121 is divided by 28? 9 What is the remainder when 1256 is divided by 26? 8 Calculate the remainder when 467 is divided by 47. 44 Calculate the remainder when 3887 is divided by 108. 107 Calculate the remainder when 63 is divided by 14. 7 Calculate the remainder when 2588 is divided by 9. 5 What is the remainder when 3222 is divided by 75? 72 Calculate the remainder when 251 is divided by 24. 11 What is the remainder when 64 is divided by 2? 0 Calculate the remainder when 209 is divided by 43. 37 What is the remainder when 151 is divided by 47? 10 Calculate the remainder when 1026 is divided by 228. 114 Calculate the remainder when 152 is divided by 57. 38 Calculate the remainder when 7904 is divided by 85. 84 Calculate the remainder when 1166 is divided by 130. 126 Calculate the remainder when 210 is divided by 16. 2 What is the remainder when 502 is divided by 78? 34 What is the remainder when 144 is divided by 51? 42 Calculate the remainder when 188 is divided by 39. 32 Calculate the remainder when 178 is divided by 45. 43 Calculate the remainder when 4362 is divided by 311. 8 Calculate the remainder when 949 is divided by 275. 124 Calculate the remainder when 3498 is divided by 140. 138 Calculate the remainder when 725 is divided by 104. 101 Calculate the remainder when 210 is divided by 63. 21 Calculate the remainder when 1138 is divided by 102. 16 What is the remainder when 28031 is divided by 315? 311 What is the remainder when 3374 is divided by 376? 366 What is the remainder when 284 is divided by 73? 65 Calculate the remainder when 2776 is divided by 200. 176 Calculate the remainder when 7569 is divided by 113. 111 What is the remainder when 301 is divided by 79? 64 What is the remainder when 888 is divided by 18? 6 What is the remainder when 10293 is divided by 26? 23 What is the remainder when 27 is divided by 21? 6 What is the remainder when 4100 is divided by 152? 148 Calculate the remainder when 197 is divided by 22. 21 Calculate the remainder when 87 is divided by 7. 3 What is the remainder when 46 is divided by 43? 3 Calculate the remainder when 86 is divided by 20. 6 Calculate the remainder when 187 is divided by 32. 27 Calculate the remainder when 192 is divided by 161. 31 What is the remainder when 22638 is divided by 5? 3 What is the remainder when 315 is divided by 14? 7 Calculate the remainder when 488 is divided by 49. 47 Calculate the remainder when 277 is divided by 40. 37 Calculate the remainder when 228 is divided by 23. 21 Calculate the remainder when 49 is divided by 19. 11 What is the remainder when 2848 is divided by 17? 9 What is the remainder when 722 is divided by 26? 20 Calculate the remainder when 190 is divided by 64. 62 Calculate the remainder when 271 is divided by 7. 5 What is the remainder when 598 is divided by 6? 4 What is the remainder when 203 is divided by 148? 55 What is the remainder when 182 is divided by 177? 5 What is the remainder when 45598 is divided by 304? 302 Calculate the remainder when 1558 is divided by 60. 58 Calculate the remainder when 352 is divided by 31. 11 Calculate the remainder when 1801 is divided by 304. 281 What is the remainder when 2918 is divided by 75? 68 Calculate the remainder when 508 is divided by 10.
{ "pile_set_name": "DM Mathematics" }
= -34*k - 3. Is b(-4) prime? False Let i be ((-12)/15)/((-2)/10). Is i/(8/(-6)) + 17 a composite number? True Suppose -5*q + 0*g - 2*g = 24, -2*g + 30 = -4*q. Let m(p) = -14*p + 5. Is m(q) composite? False Suppose -3539 - 811 = -5*k. Suppose 85 + k = 5*l. Is l composite? False Suppose 2*q - 58 = q. Is q composite? True Suppose 4*i = v + 154, 0*v - 3*v = 4*i - 162. Suppose 49 = 4*s + 3*z, z = -3*s - 2*z + i. Is (-330)/(-25)*s/4 a prime number? False Let g(q) = 10*q**2 + 5*q + 3. Let c(z) = 5*z**2 + 2*z + 1. Let o(p) = 5*c(p) - 2*g(p). Suppose i - 4*f = -22, -4*f + 10 = 3*i + 2*i. Is o(i) prime? True Let j be 1 + 0 + 1 + -2. Suppose 2*x - 56 = 12. Suppose j = 2*d - 2*q - x, -2*d - 3*d = 5*q - 125. Is d a prime number? False Let k(b) = b**3 + 13*b**2 + b + 3. Let z be k(-7). Suppose 0*f + 2*f = z. Is f a composite number? True Let v(u) = -u**2 + 3*u - 3. Let z be v(2). Is 79 + -3 + z/(-1) a composite number? True Let n be (-7)/14 + (-9)/2. Is (-487)/n + (-4)/10 composite? False Let a(v) = -v**2 - 12*v - 4. Let t be a(-11). Suppose 3*d - t*d + 716 = 0. Is d composite? False Suppose 0 = 4*s + 12, 4*s - 18 = -5*j - 0. Let g be (-15)/j*12/(-10). Suppose g*a + 5 - 23 = 0. Is a a prime number? False Let a be ((-10)/(-15))/((-6)/(-621)). Let m = a + 234. Is m a composite number? True Let w = -956 + 3057. Is w a prime number? False Let t = -50 - -22. Is (-2200)/t + 6/14 a prime number? True Let a = -62 - -105. Is a a composite number? False Let k(x) = -43*x - 4. Let i be (-2 - 4) + -3 + 4. Is k(i) prime? True Let q be 1*(0 - 1)*31. Let v = q - -93. Suppose -3*p - 4*r + 193 = 0, 0 = 2*p - 4*r - 80 - v. Is p composite? False Suppose 0*d + 212 = n + 3*d, n + 2*d - 211 = 0. Is n a prime number? False Let d(t) = 78*t**3 - 2*t + 1. Let b = 1 - 0. Let a be d(b). Let p = a + -40. Is p a composite number? False Let k(w) = -1113*w + 1. Is k(-2) a prime number? False Is -18 - -19 - (2 - 4838) composite? True Suppose 3*x - 232 = 5*y, -4*y + 8*y - 83 = -x. Is x a composite number? False Let y(n) be the third derivative of n**2 - 1/6*n**4 + 0 + 1/15*n**5 + 0*n - 1/6*n**3. Is y(3) a prime number? True Suppose 3*i = -10 - 2. Let g be (-1976)/7 - 6/(-21). Is g/i*(-8)/(-12) a prime number? True Let w(t) = 3*t - 1. Let a be w(1). Let m = 1 + a. Is m a prime number? True Let f(j) = -j**3 + 6*j**2 - 5*j + 3. Let w be f(5). Suppose -818 + w = -5*t. Is t a composite number? False Let h(l) be the third derivative of 0*l - 2*l**2 + 0 - 1/3*l**4 + 1/20*l**5 - 5/3*l**3. Is h(9) prime? False Let z(t) = t. Let s be z(-6). Let g = 10 + s. Suppose g*m + 12 = 0, 2*i - 117 = -i - 4*m. Is i a composite number? False Let z = 872 + -500. Let k = z + 181. Is k prime? False Let o(y) = y**2 - 5*y - 4. Let p be o(-3). Suppose 3*k + 157 = 3*c + k, p = -4*k. Suppose 2*t + 3*h = -3, 4*t - 5*h = -0*h + c. Is t composite? True Suppose -4*n + 28 = 2*j, 13 - 89 = -5*j - 4*n. Suppose 5*y - j + 1 = 0. Is (y + -2)*7 + 0 composite? False Let s = 1377 - 958. Is s a composite number? False Suppose 54 = p + s, 5*p = -0*p + s + 276. Suppose 5*r - 240 = -p. Is r prime? True Let z(c) be the first derivative of c**2/2 - 3*c - 2. Let y be z(5). Is ((-51)/(-6))/(y/12) composite? True Suppose 2*j - 3 = 5*j. Is 2/((-18)/(-14) + j) a prime number? True Let z = -9 - 0. Let o = z - -4. Let i = 16 - o. Is i composite? True Let f(c) = -10*c**3 - 5*c**2 + 2*c + 1. Is f(-4) a prime number? False Let a be 7*1*(-6)/(-2). Let i(b) = b**2 + 3*b - 14. Let r be i(0). Let w = r + a. Is w prime? True Let o(s) be the first derivative of s**5/20 + s**4/24 - s**3/3 - 2. Let j(y) be the third derivative of o(y). Is j(5) a prime number? True Suppose l - 38 = -5*v, 0*l - 3*v = l - 36. Is l a prime number? False Let d(s) = 67*s**3 - s**2 - s - 4. Is d(3) composite? True Suppose -142 + 648 = 2*u. Is u a composite number? True Let t(j) be the first derivative of 14*j**3/3 - 7*j**2/2 + j - 1. Is t(-6) composite? False Let q(o) = 2*o**3 - 4*o**2 + 2*o + 1. Let v be q(2). Let l be (8/(-20))/((-1)/v). Let c = 75 + l. Is c prime? False Suppose 2*p = 2*l + 4, -6*p + 3*p = 3*l - 6. Suppose 4*d + 320 = 4*a, 0 = p*a + 4*d + 10 - 164. Is a a prime number? True Let v = 6 + -5. Let w = 1 + v. Is w*((-441)/(-6) - 1) prime? False Let s(v) = 1096*v**2 + 7. Is s(2) composite? False Let h be 1 - 4*(0 + -1). Suppose h = -t + 60. Is t a prime number? False Let t = -5 - -10. Suppose 0 = -t*u + u - 4. Is (-1 + -1 - u) + 68 prime? True Let u = 651 - 236. Is u a composite number? True Let a(t) = -t**3 - 2*t**2 + 3*t - 1. Let p be a(-3). Is (-69)/6*2*p a composite number? False Let l(p) = -p**2 + 10*p. Let k be l(6). Suppose 5*j + k = 809. Is j prime? True Let o(c) be the first derivative of 49*c**2/2 - 15*c + 7. Is o(16) prime? True Suppose 280 = -v + 2*l, -2*v - l - 578 = l. Let i = 705 + v. Suppose 5*a = i + 96. Is a prime? True Suppose -2*z - 3*f = -166, -2*z = 3*z - 5*f - 465. Is z composite? False Suppose 0 = 5*a - 2*a - 15. Let u(b) = -2 - 4 + 4*b + 5 + 0*b. Is u(a) a composite number? False Suppose 0 = 2*n - 714 - 40. Is n composite? True Let w = 2651 - 1306. Is w prime? False Suppose 11*f = 16*f - 955. Is f composite? False Let c(m) = -m + 1. Let z be c(-3). Suppose -z*s - 93 = -7*s. Is s a composite number? False Is (130 - (3 - 0))/1 composite? False Let z = 162 + 49. Is z a prime number? True Let s = 35 + -29. Is (s + -4)*145/2 prime? False Let r be 1 + (-9)/3*3. Let q = r - -30. Let u = q + -15. Is u a composite number? False Suppose -5*d + 2031 = 4*u, 4*d - 1001 = -u + 626. Is d a composite number? True Let z = -13 - -44. Suppose f + k = 20, -5*k - 4 = -4*f + z. Is f prime? False Let w(d) = d**2 - 9*d + 10. Let z be w(8). Let i be (3 - z)/((-2)/18). Is 3/i + 58/3 prime? True Suppose 3*x + 2*b = -0*x + 67, -x - 2*b + 17 = 0. Suppose 5*h + x = 10. Is (-903)/h - -3 - -3 composite? False Is -4 + 3 - -1 - -149 a prime number? True Let t = 4 + -1. Let z be 185/3*t/1. Let u = z - -18. Is u a composite number? True Suppose -3*i + d = -2*i - 84, d = -i + 82. Is i a prime number? True Let z be -2 - ((-3)/(-3) + -5). Suppose -g - 3 = -z*g. Is g a composite number? False Let a(u) = 9*u + 3. Let r be a(4). Suppose -5*z + 226 = -r. Is z a prime number? True Let m = 140 - 6. Is m prime? False Let n(t) = -2*t**3 - 5*t**2 + 3*t - 4. Is n(-5) composite? True Let u = 44 - -9. Is u a prime number? True Let y(z) = -z**3 + 16*z**2 - 11*z - 6. Is y(11) a composite number? True Let g = 37 + -25. Suppose w - 3*s = -5*s - 14, w + 4*s = -g. Is w/(-40) - (-183)/5 a composite number? False Let y be 1*6*(-4)/(-8). Suppose -38 = -c + y*d, -d + 116 = 2*c + d. Is c a composite number? False Suppose 5*j - 10 = -2*h, 2 = 4*h - 18. Suppose j = -4*c - 32 + 260. Is c composite? True Suppose -189 = b + 2*b. Let f = b - 28. Is (-2)/((-180)/f + -2) prime? False Suppose 0 = -2*k + i + 2132, 5*i + 884 = k - 164. Let l = -6 + 12. Is ((-4)/l)/((-8)/k) a prime number? True Let p(o) = 11*o**2 - 2*o - 11. Is p(8) a composite number? False Suppose -10 = -4*t + 2*t. Let k(m) = m**3 - m**2 + 2*m + 5. Is k(t) a prime number? False Let f(d) be the second derivative of d**4/12 + 2*d**3/3 - d**2/2 + d. Let q be f(-5). Suppose 49 = q*u - 267. Is u a composite number? False Let o(q) = -4 + 11*q**2 + 1 + 1 - q**3 - 13*q. Is o(9) a composite number? False Suppose 0 = -5*x - 0*z - 2*z + 2, -4*x = -4*z + 4. Let o = x + -2. Let m(a) = 4*a**2 + 3*a + 3. Is m(o) composite? False Is (-1228)/6*12/(-8) composite? False Let r(n) = 4*n - 2. Is r(2) a composite number? True Let o(m) = m**2 - 5*m - 8. Let k be o(7). Suppose k*w = 3*w + 117. Is w composite? True Suppose 4*a = -48 + 196. Is a composite? False Suppose 3*n - 4 = -2*g, 5*g - 4*n + 9 + 4 = 0. Let u(w) = 7*w**2 + 1. Let f be u(g). Suppose 5*q - q = -2*p + 270, 0 = 2*q + f. Is p prime? False Suppose 6*b - 2*b = -4. Let f be (4 - 2)*(2 + -1). Is 14 - (-1 + f) - b composite? True Let l = 13 - 8. Suppose 0*m = l*m + 515. Let i = -54 - m. Is i a prime number? False Let m = -3 + 4. Let v be (-1 - -2)*(1 - m). Suppose -3*x = -2*u - 237, v*x - 316 = -4*x + 4*u. Is x prime? True Let u(w) = 6 + 0*w - 3 + 0*w - 2*w. Suppose -2*f = 2*f + 36. Is u(f) composite? True Let o = 350 + -696. Let d be o*((-3)/6)/1. Suppose -v = 4*v + 5*q - 185, 0 = -5*v - q + d. Is v compo
{ "pile_set_name": "DM Mathematics" }
two letters picked without replacement from bbbbbbbbbhhbhhbhbbb? 10/171 Two letters picked without replacement from {k: 3, w: 15}. What is prob of picking 1 k and 1 w? 5/17 Calculate prob of picking 1 g, 1 q, and 1 m when three letters picked without replacement from {l: 2, q: 2, b: 2, m: 3, g: 1, n: 2}. 3/110 Three letters picked without replacement from {i: 7, k: 12}. What is prob of picking 3 i? 35/969 Calculate prob of picking 2 m and 1 r when three letters picked without replacement from {e: 2, r: 10, m: 2}. 5/182 Calculate prob of picking 2 s when two letters picked without replacement from {u: 1, c: 2, z: 7, p: 1, q: 2, s: 2}. 1/105 Calculate prob of picking 2 l, 1 w, and 1 p when four letters picked without replacement from {p: 1, l: 2, w: 1, r: 2, a: 1, t: 1}. 1/70 Two letters picked without replacement from xmmmmmlxmxaxmmmamxm. What is prob of picking 1 m and 1 l? 11/171 Calculate prob of picking 3 j and 1 t when four letters picked without replacement from tttttjttjttttttttj. 1/204 What is prob of picking 2 i and 1 q when three letters picked without replacement from iqjjjqqqqjiqjjiiq? 21/340 What is prob of picking 1 o and 2 a when three letters picked without replacement from {o: 2, q: 4, f: 5, b: 1, a: 2}? 1/182 Two letters picked without replacement from {h: 3, e: 15}. What is prob of picking 1 e and 1 h? 5/17 Three letters picked without replacement from {d: 11, z: 1, u: 2, l: 2}. Give prob of picking 3 d. 33/112 Four letters picked without replacement from {l: 5, b: 7, v: 1, f: 1}. Give prob of picking 1 l and 3 b. 25/143 Three letters picked without replacement from {i: 14, j: 5}. What is prob of picking 1 i and 2 j? 140/969 Four letters picked without replacement from {x: 1, z: 1, u: 1, n: 2, v: 1, e: 1}. Give prob of picking 1 x, 1 v, 1 z, and 1 e. 1/35 Three letters picked without replacement from {c: 9, j: 1, g: 4, a: 1}. What is prob of picking 1 c and 2 g? 54/455 Two letters picked without replacement from dddddindl. Give prob of picking 1 d and 1 n. 1/6 Three letters picked without replacement from {v: 2, x: 3, m: 5}. What is prob of picking 2 m and 1 x? 1/4 Four letters picked without replacement from gpppggpgngnggp. Give prob of picking 4 g. 5/143 Three letters picked without replacement from zgegbgbbrzzgggegz. Give prob of picking 2 e and 1 z. 1/170 Three letters picked without replacement from {z: 14, t: 5}. Give prob of picking 1 z and 2 t. 140/969 What is prob of picking 2 v when two letters picked without replacement from vnnvvyygyywnvnynv? 5/68 Three letters picked without replacement from mmmmmmmmmm. What is prob of picking 3 m? 1 Calculate prob of picking 3 h when three letters picked without replacement from {t: 1, h: 12}. 10/13 What is prob of picking 2 v when two letters picked without replacement from {v: 8, c: 8, o: 4}? 14/95 Calculate prob of picking 1 u and 1 s when two letters picked without replacement from {m: 2, d: 6, s: 5, u: 2, w: 1}. 1/12 Four letters picked without replacement from xxxqxxxx. Give prob of picking 4 x. 1/2 Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {d: 1, i: 1, m: 5, k: 1, u: 2}. 2/45 Calculate prob of picking 2 w when two letters picked without replacement from qqwwwqwwqqwwww. 36/91 Three letters picked without replacement from uuuuuururhururrrrh. What is prob of picking 2 r and 1 h? 7/136 Calculate prob of picking 3 z when three letters picked without replacement from {m: 9, z: 10}. 40/323 Calculate prob of picking 1 k and 1 o when two letters picked without replacement from kkeokoekkkk. 14/55 Two letters picked without replacement from zzzqzeeezzzq. What is prob of picking 2 z? 7/22 Three letters picked without replacement from dgxqnqnnqd. Give prob of picking 1 g and 2 q. 1/40 Two letters picked without replacement from fefmfefeefmfeefeeem. What is prob of picking 2 f? 7/57 Calculate prob of picking 2 e when two letters picked without replacement from {u: 1, e: 2}. 1/3 What is prob of picking 1 v and 2 j when three letters picked without replacement from xjvnjxnvnn? 1/60 Three letters picked without replacement from zzidzqzmzdqzymm. Give prob of picking 2 y and 1 q. 0 Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {a: 1, o: 2, r: 1}. 1/6 What is prob of picking 2 b when two letters picked without replacement from fbbbbbfbbb? 28/45 What is prob of picking 4 n when four letters picked without replacement from {n: 7}? 1 What is prob of picking 2 h when two letters picked without replacement from {h: 4}? 1 Calculate prob of picking 3 t when three letters picked without replacement from dtktttntnnwtwkwnn. 1/34 What is prob of picking 2 b when two letters picked without replacement from {o: 5, b: 3, h: 8}? 1/40 Calculate prob of picking 1 v and 2 f when three letters picked without replacement from ccfvfogfcxfvcvfxxcc. 10/323 What is prob of picking 2 u when two letters picked without replacement from {x: 1, u: 9, z: 1}? 36/55 Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {s: 5, k: 8, a: 4, b: 1}. 4/153 Three letters picked without replacement from iccc. What is prob of picking 1 i and 2 c? 3/4 Four letters picked without replacement from hedyewewxxxxedx. What is prob of picking 1 e, 2 w, and 1 y? 4/1365 What is prob of picking 2 d when two letters picked without replacement from {s: 9, d: 3}? 1/22 Two letters picked without replacement from bylggyylggygvgy. What is prob of picking 1 g and 1 y? 2/7 Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, e: 18}. 1/190 Calculate prob of picking 2 s and 1 z when three letters picked without replacement from {t: 1, z: 1, h: 2, s: 2}. 1/20 Two letters picked without replacement from nbnkfsffnnnns. What is prob of picking 1 k and 1 n? 1/13 Four letters picked without replacement from {h: 1, z: 4, q: 1, y: 2, t: 6, k: 1}. What is prob of picking 3 t and 1 h? 4/273 Four letters picked without replacement from {x: 4, y: 3}. Give prob of picking 4 x. 1/35 Calculate prob of picking 2 y and 1 r when three letters picked without replacement from fyfyffyrfffffff. 3/455 Two letters picked without replacement from guacxpaaaagg. Give prob of picking 1 x and 1 a. 5/66 Two letters picked without replacement from {z: 10, m: 2}. Give prob of picking 2 m. 1/66 What is prob of picking 3 u when three letters picked without replacement from {s: 3, u: 6, d: 6}? 4/91 Calculate prob of picking 1 u, 1 q, and 1 h when three letters picked without replacement from ulhqp. 1/10 Three letters picked without replacement from fnkvnfffk. What is prob of picking 2 f and 1 n? 1/7 Four letters picked without replacement from fffpfbfffupbfffb. Give prob of picking 2 b, 1 u, and 1 p. 3/910 What is prob of picking 1 w and 2 l when three letters picked without replacement from lwwwlewewewwweewwe? 5/408 Two letters picked without replacement from ayayliaoliooooyo. Give prob of picking 2 l. 1/120 Three letters picked without replacement from {m: 7, d: 1, r: 2, u: 6, p: 3}. Give prob of picking 1 u and 2 m. 42/323 What is prob of picking 1 q and 1 e when two letters picked without replacement from qeesenq? 2/7 Three letters picked without replacement from jrdsrljdrljr. Give prob of picking 2 l and 1 d. 1/110 Three letters picked without replacement from biubbubbiumbib. Give prob of picking 1 u and 2 i. 9/364 Four letters picked without replacement from {g: 4, d: 1, u: 2}. Give prob of picking 2 u and 2 g. 6/35 Calculate prob of picking 1 y, 1 p, and 1 q when three letters picked without replacement from {q: 2, x: 1, y: 3, p: 13}. 26/323 Two letters picked without replacement from fyyffffadfffyffaz. Give prob of picking 1 d and 1 a. 1/68 Three letters picked without replacement from jjvjjjjvvjvvjjvv. Give prob of picking 1 v and 2 j. 9/20 Four letters picked without replacement from {t: 9, l: 9, v: 1}. Give prob of picking 1 v, 1 l, and 2 t. 27/323 What is prob of picking 2 e when two letters picked without replacement from efmfffmefimememmmee? 5/57 Three letters picked without replacement from {s: 7, j: 6, w: 4}. What is prob of picking 3 j? 1/34 Calculate prob of picking 1 q and 2 b when three letters picked without re
{ "pile_set_name": "DM Mathematics" }
(j) = -4*b(j) + x(j). Let t(n) = -3*n**2 + n + 1. Let s(w) = -d(w) - t(w). Let c(p) = 2*p. What is c(s(v))? 4*v**2 Let o(m) = -5*m. Let y(k) be the second derivative of k**4/12 - 9*k. Give y(o(r)). 25*r**2 Let b(c) = 19*c. Let q(w) = -9*w + 5. Let o(j) = 28*j - 16. Let g(u) = 5*o(u) + 16*q(u). Determine b(g(m)). -76*m Let g(m) = -2*m**2. Let y(v) = v - 1. Let f(d) = d + 0 + 4 + d**2 - 5*d + 4*d**2. Let q(r) = -f(r) - 4*y(r). Calculate q(g(o)). -20*o**4 Let v(x) = -9*x. Let q(z) = 1. Let l(k) = 9*k + 5. Let m(o) = -l(o) + 5*q(o). Give v(m(w)). 81*w Let n(j) = 3*j. Let r be (36/3 - 2)/2. Let q(o) = 4*o. Let w(p) = r*q(p) - 6*n(p). Let u(b) = b. Calculate u(w(h)). 2*h Let o(n) = -n**2 + 4*n. Let i(y) = 3*y**2 - 10*y. Let w(v) = -6*i(v) - 15*o(v). Let u(b) = -6*b**2. Determine u(w(p)). -54*p**4 Let x(f) = 2*f + 12. Let v(h) = -4*h**2. Determine x(v(n)). -8*n**2 + 12 Let u(f) be the second derivative of 22*f**3 + 3*f + 2. Let j(k) = 2*k. Determine u(j(l)). 264*l Let b(x) = 5*x. Let l(m) = 4*m**2 - 4. What is b(l(y))? 20*y**2 - 20 Let r(y) = 109*y. Let g(v) = -v**2. Calculate g(r(c)). -11881*c**2 Let u(o) = 62 - 62 - o. Let l(k) = -2*k**2. What is u(l(x))? 2*x**2 Let r = -1 + 2. Let h(y) = -y + 2. Let p(z) = -z + 1. Let d(g) = r*h(g) - 2*p(g). Let b(q) = -4*q**2. Calculate b(d(v)). -4*v**2 Let a(b) = 2128*b**2 + b. Let j(k) = -3*k**2. Calculate a(j(g)). 19152*g**4 - 3*g**2 Let b(x) = -6*x - 3*x + 12*x. Let o(d) = -3*d. Determine o(b(y)). -9*y Suppose -31 - 5 = -3*g. Suppose -15 = -5*r - 3*n + g, -5*n = -2*r + 17. Let t(k) = 6 - r + 3*k. Let x(b) = b**2. What is t(x(w))? 3*w**2 Let s(z) = -z + 1. Let u be (-8)/(-3)*63/(-6). Let b be 2/5 + u/20. Let a(x) = -x + 2. Let h(y) = b*a(y) + 2*s(y). Let n(f) = 2*f. Give n(h(j)). -2*j Suppose 5*g - 8 - 2 = 0. Let o be (-2)/(-11) - 60/(-33). Let w(q) = 0*q**2 + 3*q**g - 6*q**o. Let h(u) = 2*u. Determine h(w(y)). -6*y**2 Let a(o) = -229*o**2. Let u(l) = -5*l**2. Determine a(u(r)). -5725*r**4 Let m(d) be the second derivative of d**4/12 - d. Let u(q) = 4*q. Let z(i) = -9*i. Let t(x) = -7*u(x) - 3*z(x). Calculate t(m(b)). -b**2 Let q(a) = -2*a**2. Let j(i) = 3*i - 190. Give q(j(m)). -18*m**2 + 2280*m - 72200 Let t(p) = 16*p. Let d(i) = -130*i. Calculate t(d(v)). -2080*v Let a(m) = 2*m**2. Let p(c) = -2*c + 1 + c - c. Let i be p(-1). Let b(s) = 0*s + s - i*s. Give a(b(o)). 8*o**2 Let t(a) be the third derivative of -a**7/630 - a**4/12 - a**2. Let y(x) be the second derivative of t(x). Let w(u) = u**2. Determine y(w(j)). -4*j**4 Let k(u) be the first derivative of -u**3/3 + 6. Let g(r) = -4*r**2. Let w be (1/2)/((-2)/8). Let o(i) = w*g(i) + 6*k(i). Let m(y) = 3*y. Give o(m(n)). 18*n**2 Let t(z) = -4*z - 1. Let w(n) = 7*n**2 - n. What is t(w(c))? -28*c**2 + 4*c - 1 Let u(t) = 2*t**2 + 9. Let k(h) = h**2 - 328 + 328. Give k(u(v)). 4*v**4 + 36*v**2 + 81 Let w(l) = -5*l**2 + 34 - l**2 - 34. Let r(c) = -4*c**2. Determine r(w(n)). -144*n**4 Let k(m) = 71*m - 1. Let p(x) = -3*x**2. Give k(p(t)). -213*t**2 - 1 Let w(k) = k**2. Suppose 0 = g - 5*l - 2 - 10, -4*g + 3*l + 14 = 0. Suppose -g + 12 = 2*t. Let q(n) = -t - 5*n**2 + 5. What is q(w(d))? -5*d**4 Let n(q) = -5*q**2. Let y(k) be the first derivative of k**3/2 + 3*k - 9. Let x(f) be the first derivative of y(f). What is n(x(a))? -45*a**2 Let j(a) = a. Suppose 3 = -4*k + 7. Let w(r) be the first derivative of -1/2*r**2 - k + 0*r. Determine j(w(t)). -t Let k = -7 - -11. Let r(y) = 2*y + y - k*y. Let m(c) = 14 - 14 + c. Give m(r(d)). -d Let j(z) = 2*z. Let c(w) = -4*w + 27. Determine c(j(g)). -8*g + 27 Let n(p) = -4*p**2. Let w(u) = 5*u + 7. Let g(z) be the third derivative of z**4/12 + z**3/2 + 8*z**2. Let r(d) = -7*g(d) + 3*w(d). Give r(n(v)). -4*v**2 Let x(r) = 3310*r. Let b(o) = 5*o**2. Calculate x(b(k)). 16550*k**2 Let z(n) = -501*n + 501*n - 2*n**2. Let i(d) = -17*d. Determine i(z(v)). 34*v**2 Let c(r) = r**2. Let n(l) be the second derivative of -4*l + 0*l**2 + 1/6*l**4 + 0 + 0*l**3. Give c(n(z)). 4*z**4 Let t(a) = 4*a**2. Let y(w) = w**2 + 5*w - 5. Let z(b) = -4 + 6*b + 3 - 5 + b**2. Let d(k) = -6*y(k) + 5*z(k). Give t(d(g)). 4*g**4 Let k(m) = m. Suppose 0 = 4*s - 2*b - 0*b - 24, -5*b = 4*s - 38. Let d(y) = 3*y + s*y + 12*y - 6*y. What is d(k(o))? 16*o Let u(k) = -3*k**2. Let a = -8 + 13. Let j(l) = 2*l**2 - a*l**2 + l**2. Give j(u(z)). -18*z**4 Let r(o) = o**2. Let h(w) be the third derivative of 0*w**3 + 0*w + 0 - 1/12*w**4 - 2*w**2. Give r(h(p)). 4*p**2 Let p(v) = -v. Let b(d) = 6169*d**2. What is p(b(w))? -6169*w**2 Let y(n) = 312*n - 308*n + 2 - 2. Let w(f) = -3*f**2. Determine y(w(j)). -12*j**2 Let g(x) = -76*x**2. Let v(j) = 7*j. Calculate v(g(w)). -532*w**2 Let b(i) be the third derivative of i**4/12 - 2*i**2. Let y(x) be the third derivative of -x**4/12 - 6*x**2. What is b(y(f))? -4*f Let z(a) = 2*a**2. Suppose 0 = 2*o + 4*k - 26, -2*o + 2*k = k - 11. Let p(j) = o*j**2 - 8*j**2 + 0*j**2. Determine p(z(y)). -4*y**4 Let b(n) = 3*n**2. Let k(t) = -4*t**2 + 15*t. Calculate b(k(r)). 48*r**4 - 360*r**3 + 675*r**2 Let h(b) = -b. Let c(a) = a**2 + a. Let t(r) = -42*r**2 - 28*r. Let g(n) = -28*c(n) - t(n). Calculate h(g(f)). -14*f**2 Let q(a) = 10*a**2 - 4*a. Let l(m) = -m**2. Give q(l(b)). 10*b**4 + 4*b**2 Let m(j) = -5*j. Let g(r) = -r**2 - 23. Give m(g(t)). 5*t**2 + 115 Let d(i) = -21*i - 11. Let x(v) = -7*v - 4. Suppose -5*f - 4 = -4*f. Let t(b) = f*d(b) + 11*x(b). Let l(y) = y. What is t(l(r))? 7*r Let z(x) = -x**2. Let d(q) = -23*q**2 - 6. What is d(z(f))? -23*f**4 - 6 Let t(h) = 6*h**2 + 3. Let u(m) be the first derivative of m**2/2 + 10. What is t(u(p))? 6*p**2 + 3 Let q(u) = -11115*u**2. Let a(k) = -k**2. Calculate q(a(l)). -11115*l**4 Let q(v) = -4*v + 10*v - 4*v. Let k be (-1)/((-2)/4) + -2. Let m(l) = -3*l**2 + 2*l**2 + k*l**2. Calculate q(m(u)). -2*u**2 Let q(v) = 101*v - 7. Let p(z) = 33*z - 2. Let a(n) = -7*p(n) + 2*q(n). Let f(x) = -2*x**2. Calculate f(a(s)). -1682*s**2 Let i(t) = -3*t. Let p(m) = 319*m**2. Calculate i(p(l)). -957*l**2 Let n(r) = -r. Let w be 30/20*(-44)/(-6). Let u(q) = 8 + 3*q**2 - 8 - w*q**2. Calculate n(u(b)). 8*b**2 Let g(c) be the third derivative of 0 + 0*c - 4*c**2 + 1/6*c**4 + 0*c**3. Let d(a) = a. Determine d(g(z)). 4*z Let z(c) = 4*c**2. Let s(r) = r**2 - 9*r - 10. Let p be s(10). Let o(l) = p*l - 4*l + 0*l. Determine o(z(h)). -16*h**2 Let h(a) = -13201*a. Let o(l) = l**2. Give o(h(f)). 174266401*f**2 Let m(o) = -17*o**2 + 4 + 13*o**2 + 0 - 3. Let l(t) = t. Determine l(m(s)). -4*s**2 + 1 Let k(w) = -267*w**2. Let x(g) = 3*g - 16. Calculate k(x(i)). -2403*i**2 + 25632*i - 68352 Suppose -6 = -2*v - v. Let t(n) = -2*n + 2*n**v + 2*n. Let z(q) = 1. Let x(f) = -2*f + 8. Let l(g) = -x(g) + 8*z(g). Give l(t(u)). 4*u**2 Let s(r) = 2318*r**2. Let l(b) = -5*b. Determine l(s(y)). -11590*y**2 Let j(b) = -b. Let k(x) be the third derivative of -x**5/60 + 4*x**2. Determine k(j(q)). -q**2 Let l(k) = 2*k**2. Let i be 74/(-10) + (-14)/(-35). Let s(z) = z + 9. Let h be s(i). Let j(m) = 2*m**2 - 5*m**h - 3*m**2 + 2*m**2. Calculate l(j(x)). 32*x**4 Let r(g) = -15585*g. Let x(b) = -b. Calculate x(r(t)). 15585*t Let k(u) = -2*u + 3. Let y(d) = d - 2. Let c = -1 + -1. Let o(i) = c*k(i) - 3*y(i). Let t(x) = -x. Let j(w) = w. Let g(q) = 2*j(q) + 3*t(q). Give g(o(l)). -l Let o(d) = -13*d. Let n(f) = f + 6. What is n(o(h))? -13*h + 6 Let g(n) = n. Let r be (3/(-6))/((-1)/26). Let a(u) = -u + u - r*u. Determine g(a(h)). -13*h Let c(p) be the first derivative of -p**2 + 9. Let m(z) = -2*z. Determine m(c(s)). 4*s Let q(i) = 4*i**2 - 5. Let v(b) = -5*b**2 + 6. Let h(k) = -k**3 - 4*k**2 - 5. Let d be h(-4). Let j(o) = d*v(o) - 6*q(o). Let c(t) = -4*t. What is c(j(x))? -4*x**2 Let u = -7 + -1. Let o(x) = -2*x - 12. Let r be o(u). Let v(k) = 2*k - r*k + 3*k. Let i(a) = -a. Determine v(i(j)). -j Let r(q) = 5624*q**2. Let f(w) = -w**2. What is f(r(z))? -31629376*z**4 Let h(m) = 3*m**2. Let i = 6 - 3. Let s = i - 3. Let y(t) = 0*t + s*t + 2*t. What is h(y(o))? 12*o**2 Let r(k) = 21*k. Let x(v) = 4*v**2. Let w(y) = -2*y**2. Let n(o) = -5*w(o) - 2*x(o). Determine n(r(m)). 882*m**2 Let h(g) be the first derivative of -g + 2. Let t(s) = 2*s - 4. Let o(b) = 4*h(b) - t(b). Let i(p) be the second derivative of -p**3/3 - p. Determine i(o(f)). 4*f Suppose 3*c = k
{ "pile_set_name": "DM Mathematics" }
t is 38 minutes before 6:14 PM? 5:36 PM How many minutes are there between 4:38 AM and 4:33 PM? 715 How many minutes are there between 10:33 AM and 2:29 PM? 236 How many minutes are there between 11:46 PM and 12:45 AM? 59 How many minutes are there between 3:48 PM and 7:15 PM? 207 What is 304 minutes after 12:30 AM? 5:34 AM How many minutes are there between 12:41 PM and 3:37 PM? 176 What is 172 minutes after 9:02 AM? 11:54 AM What is 195 minutes after 3:28 AM? 6:43 AM What is 703 minutes after 8:11 PM? 7:54 AM What is 552 minutes before 8:06 AM? 10:54 PM How many minutes are there between 9:19 PM and 8:38 AM? 679 What is 254 minutes before 2:47 PM? 10:33 AM How many minutes are there between 11:28 AM and 1:00 PM? 92 How many minutes are there between 11:32 PM and 5:46 AM? 374 What is 145 minutes after 8:52 AM? 11:17 AM What is 181 minutes after 2:52 AM? 5:53 AM What is 202 minutes after 12:59 PM? 4:21 PM How many minutes are there between 12:11 AM and 8:32 AM? 501 What is 76 minutes before 6:56 AM? 5:40 AM What is 52 minutes after 9:33 AM? 10:25 AM How many minutes are there between 4:23 PM and 1:03 AM? 520 How many minutes are there between 4:55 PM and 1:19 AM? 504 What is 472 minutes after 10:50 AM? 6:42 PM What is 468 minutes before 3:59 AM? 8:11 PM How many minutes are there between 3:49 AM and 5:25 AM? 96 What is 525 minutes after 1:37 PM? 10:22 PM What is 404 minutes before 3:08 PM? 8:24 AM What is 610 minutes after 11:22 AM? 9:32 PM How many minutes are there between 9:59 AM and 1:57 PM? 238 How many minutes are there between 4:53 PM and 7:10 PM? 137 How many minutes are there between 8:07 PM and 3:01 AM? 414 What is 474 minutes before 3:47 PM? 7:53 AM What is 96 minutes before 4:52 AM? 3:16 AM How many minutes are there between 9:50 PM and 12:55 AM? 185 What is 687 minutes before 3:19 AM? 3:52 PM What is 39 minutes after 6:15 PM? 6:54 PM How many minutes are there between 11:48 PM and 7:11 AM? 443 How many minutes are there between 1:26 PM and 11:57 PM? 631 How many minutes are there between 12:59 PM and 12:36 AM? 697 How many minutes are there between 6:22 AM and 8:50 AM? 148 What is 414 minutes before 5:05 PM? 10:11 AM How many minutes are there between 5:47 PM and 11:04 PM? 317 How many minutes are there between 3:09 AM and 1:20 PM? 611 What is 592 minutes after 12:42 AM? 10:34 AM How many minutes are there between 5:00 AM and 4:55 PM? 715 How many minutes are there between 3:34 PM and 6:29 PM? 175 How many minutes are there between 2:18 PM and 1:36 AM? 678 What is 410 minutes after 3:36 PM? 10:26 PM How many minutes are there between 8:45 PM and 12:00 AM? 195 What is 406 minutes after 12:27 PM? 7:13 PM What is 295 minutes after 11:49 AM? 4:44 PM How many minutes are there between 4:31 PM and 6:41 PM? 130 What is 53 minutes before 3:10 AM? 2:17 AM What is 9 minutes after 5:16 PM? 5:25 PM How many minutes are there between 5:51 AM and 8:07 AM? 136 What is 573 minutes before 4:27 PM? 6:54 AM What is 123 minutes after 8:38 PM? 10:41 PM How many minutes are there between 7:33 PM and 6:53 AM? 680 What is 581 minutes before 1:06 PM? 3:25 AM What is 414 minutes before 3:25 PM? 8:31 AM How many minutes are there between 8:32 AM and 12:36 PM? 244 What is 503 minutes after 3:30 AM? 11:53 AM What is 371 minutes after 1:51 PM? 8:02 PM How many minutes are there between 10:34 AM and 10:20 PM? 706 What is 153 minutes before 8:31 PM? 5:58 PM What is 587 minutes before 5:35 AM? 7:48 PM What is 507 minutes before 9:30 PM? 1:03 PM What is 472 minutes after 7:57 AM? 3:49 PM How many minutes are there between 6:09 AM and 12:16 PM? 367 What is 681 minutes after 5:03 PM? 4:24 AM How many minutes are there between 3:59 AM and 9:02 AM? 303 What is 35 minutes before 6:58 PM? 6:23 PM How many minutes are there between 5:35 AM and 4:44 PM? 669 What is 27 minutes before 10:51 PM? 10:24 PM How many minutes are there between 12:36 PM and 8:44 PM? 488 What is 372 minutes after 5:19 PM? 11:31 PM What is 341 minutes after 5:36 PM? 11:17 PM How many minutes are there between 1:33 PM and 9:57 PM? 504 What is 82 minutes before 12:07 PM? 10:45 AM How many minutes are there between 1:18 PM and 11:15 PM? 597 What is 4 minutes after 5:06 AM? 5:10 AM What is 423 minutes before 5:19 AM? 10:16 PM What is 581 minutes before 5:34 PM? 7:53 AM What is 553 minutes after 4:23 PM? 1:36 AM How many minutes are there between 8:23 PM and 3:01 AM? 398 What is 628 minutes after 10:30 PM? 8:58 AM What is 359 minutes after 3:35 AM? 9:34 AM What is 317 minutes after 11:20 PM? 4:37 AM What is 341 minutes after 8:07 AM? 1:48 PM How many minutes are there between 10:53 PM and 2:59 AM? 246 How many minutes are there between 10:36 AM and 10:19 PM? 703 How many minutes are there between 6:15 AM and 5:07 PM? 652 What is 152 minutes before 5:41 PM? 3:09 PM What is 670 minutes after 3:05 AM? 2:15 PM What is 400 minutes after 10:05 AM? 4:45 PM How many minutes are there between 10:22 AM and 5:47 PM? 445 What is 264 minutes before 4:52 AM? 12:28 AM How many minutes are there between 9:25 AM and 9:29 AM? 4 How many minutes are there between 9:58 PM and 6:35 AM? 517 What is 420 minutes after 3:43 AM? 10:43 AM How many minutes are there between 7:02 AM and 7:51 AM? 49 How many minutes are there between 1:11 PM and 3:01 PM? 110 What is 466 minutes before 12:57 AM? 5:11 PM What is 616 minutes after 5:50 AM? 4:06 PM What is 429 minutes after 8:45 PM? 3:54 AM What is 156 minutes before 12:46 PM? 10:10 AM How many minutes are there between 2:24 PM and 12:23 AM? 599 What is 38 minutes before 7:36 PM? 6:58 PM How many minutes are there between 11:29 PM and 10:59 AM? 690 What is 709 minutes after 9:34 PM? 9:23 AM What is 690 minutes before 10:05 PM? 10:35 AM How many minutes are there between 4:26 PM and 7:19 PM? 173 How many minutes are there between 5:51 PM and 11:50 PM? 359 What is 246 minutes before 3:28 AM? 11:22 PM How many minutes are there between 9:21 PM and 12:36 AM? 195 How many minutes are there between 4:09 AM and 9:14 AM? 305 How many minutes are there between 9:34 PM and 10:41 PM? 67 How many minutes are there between 8:38 PM and 7:09 AM? 631 What is 504 minutes after 7:49 AM? 4:13 PM What is 337 minutes before 9:30 AM? 3:53 AM What is 14 minutes after 4:22 PM? 4:36 PM How many minutes are there between 7:54 AM and 7:11 PM? 677 What is 481 minutes after 9:43 AM? 5:44 PM How many minutes are there between 1:09 AM and 11:39 AM? 630 What is 175 minutes before 6:31 PM? 3:36 PM What is 60 minutes after 6:24 AM? 7:24 AM How many minutes are there between 1:29 PM and 2:08 PM? 39 What is 492 minutes after 10:57 AM? 7:09 PM What is 328 minutes after 8:59 PM? 2:27 AM How many minutes are there between 7:54 AM and 5:12 PM? 558 What is 331 minutes before 4:50 AM? 11:19 PM What is 12 minutes before 12:33 AM? 12:21 AM How many minutes are there between 5:15 PM and 3:43 AM? 628 How many minutes are there between 2:59 PM and 8:40 PM? 341 How many minutes are there between 9:05 AM and 10:16 AM? 71 How many minutes are there between 1:50 PM and 4:36 PM? 166 What is 202 minutes after 4:50 AM? 8:12 AM What is 321 minutes after 7:02 PM? 12:23 AM How many minutes are there between 4:30 AM and 5:37 AM? 67 What is 473 minutes before 8:19 AM? 12:26 AM How many minutes are there between 1:12 PM and 3:48 PM? 156 How many minutes are there between 9:00 PM and 9:02 PM? 2 How many minutes are there between 8:57 PM and 11:58 PM? 181 What is 251 minutes before 4:44 PM? 12:33 PM What is 90 minutes before 8:59 AM? 7:29 AM What is 132 minutes after 5:04 AM? 7:16 AM What is 185 minutes after 10:18 AM? 1:23 PM How many minutes are there between 3:56 PM and 12:41 AM? 525 What is 401 minutes after 7:00 AM? 1:41 PM What is 292 minutes before 10:00 AM? 5:08 AM How many minutes are there between 11:18 PM and 4:49 AM? 331 How many minutes are there between 5:00 AM and 4:25 PM? 685 How many minutes are there between 11:18 PM and 2:29 AM? 191 What is 186 minutes after 12:49 AM? 3:55 AM How many minutes are there between 11:36 PM and 7:29 AM? 473 What is 144 minutes before 7:25 PM? 5:01 PM What is 97 minutes after 11:27 AM? 1:04 PM How many minutes are there between 5:03 AM and 9:54 AM? 291 What is 345 minutes before 3:59 AM? 10:14 PM
{ "pile_set_name": "DM Mathematics" }
lculate prob of sequence ww when two letters picked without replacement from {v: 1, w: 2, x: 1, n: 1, i: 1, o: 1}. 1/21 Three letters picked without replacement from {h: 2, t: 6, c: 3, r: 2, x: 2}. Give prob of sequence rcr. 1/455 What is prob of sequence uu when two letters picked without replacement from huuuhuuuuuuu? 15/22 What is prob of sequence qu when two letters picked without replacement from {b: 2, u: 5, q: 3}? 1/6 Calculate prob of sequence plp when three letters picked without replacement from plppllllplllppppllpp. 5/38 Two letters picked without replacement from ggggg. What is prob of sequence gg? 1 What is prob of sequence qvum when four letters picked without replacement from {x: 5, u: 2, q: 2, v: 2, m: 1, o: 2}? 1/3003 Two letters picked without replacement from {h: 8, r: 11, z: 1}. Give prob of sequence zr. 11/380 Calculate prob of sequence jlpa when four letters picked without replacement from kjypjlyjalppy. 3/2860 What is prob of sequence qk when two letters picked without replacement from qkkq? 1/3 Calculate prob of sequence pr when two letters picked without replacement from nprvnrnvvrrrrr. 1/26 Four letters picked without replacement from ssgsgsgs. What is prob of sequence gsss? 3/28 Three letters picked without replacement from {u: 3, a: 7}. Give prob of sequence uuu. 1/120 Two letters picked without replacement from {t: 8, k: 2}. What is prob of sequence kt? 8/45 What is prob of sequence kk when two letters picked without replacement from {m: 3, k: 4}? 2/7 Four letters picked without replacement from hvhvhvhhhhhvv. Give prob of sequence vhvh. 28/429 Four letters picked without replacement from {j: 1, s: 1, b: 5, w: 9, n: 1, u: 1}. Give prob of sequence bunw. 1/1632 Four letters picked without replacement from uucfufueu. What is prob of sequence cfeu? 5/1512 Four letters picked without replacement from kukukuukuuukkkkkuuu. Give prob of sequence kkku. 35/646 Two letters picked without replacement from jhyuyjyhhjhhgr. Give prob of sequence hu. 5/182 Two letters picked without replacement from ljmmuoppmplm. Give prob of sequence pj. 1/44 Two letters picked without replacement from {f: 6, h: 2, s: 8, l: 3}. What is prob of sequence lf? 1/19 Two letters picked without replacement from {f: 1, j: 2, t: 4, k: 2}. Give prob of sequence jf. 1/36 Two letters picked without replacement from {n: 2, a: 3, s: 5, p: 9}. What is prob of sequence ap? 3/38 Two letters picked without replacement from qfaa. What is prob of sequence fa? 1/6 What is prob of sequence uwwe when four letters picked without replacement from {e: 2, w: 3, u: 5}? 1/84 What is prob of sequence euoo when four letters picked without replacement from {o: 10, e: 2, p: 4, u: 1, h: 2}? 5/2584 Four letters picked without replacement from {n: 7, z: 5}. Give prob of sequence nzzn. 7/99 Three letters picked without replacement from qvrinyrny. Give prob of sequence yrv. 1/126 What is prob of sequence tt when two letters picked without replacement from {t: 4, n: 3, g: 11}? 2/51 Two letters picked without replacement from {y: 3, g: 2}. What is prob of sequence gy? 3/10 Calculate prob of sequence wixw when four letters picked without replacement from {j: 1, i: 1, x: 2, w: 2, e: 1, b: 1}. 1/420 Calculate prob of sequence hnpn when four letters picked without replacement from {w: 3, p: 3, n: 7, h: 7}. 49/6460 Four letters picked without replacement from fffxxffxxffxxx. What is prob of sequence fxff? 35/572 Calculate prob of sequence npnc when four letters picked without replacement from {c: 8, p: 1, n: 4}. 4/715 Three letters picked without replacement from {f: 4, o: 5, w: 10}. Give prob of sequence www. 40/323 Three letters picked without replacement from {c: 3, j: 1, g: 3}. What is prob of sequence gcg? 3/35 Three letters picked without replacement from {g: 2, q: 2, p: 3, w: 8}. What is prob of sequence gqw? 16/1365 Four letters picked without replacement from xdxpxdxdxxxp. What is prob of sequence xppx? 7/990 Two letters picked without replacement from {x: 2, o: 4, d: 6}. What is prob of sequence ox? 2/33 Four letters picked without replacement from {m: 1, v: 5, c: 1, l: 1, i: 9}. What is prob of sequence lmii? 3/2380 Four letters picked without replacement from mommddoxddddxb. Give prob of sequence mddm. 15/2002 Calculate prob of sequence qqnn when four letters picked without replacement from nnqnqnqnqn. 1/14 Three letters picked without replacement from dddqdbbqq. Give prob of sequence bdb. 1/63 Four letters picked without replacement from ylcjjyjccyjyjjcpyplj. What is prob of sequence yppj? 7/11628 Four letters picked without replacement from {w: 2, c: 2, p: 1, x: 2, r: 1, o: 1}. What is prob of sequence xrcc? 1/756 Two letters picked without replacement from {i: 1, a: 1, q: 1}. What is prob of sequence iq? 1/6 Calculate prob of sequence lz when two letters picked without replacement from uulzzuyyzz. 2/45 Calculate prob of sequence cypc when four letters picked without replacement from byppccbcc. 1/126 What is prob of sequence yp when two letters picked without replacement from {p: 2, r: 13, y: 3}? 1/51 Calculate prob of sequence lyq when three letters picked without replacement from {y: 4, q: 6, d: 1, v: 1, j: 3, l: 5}. 1/57 What is prob of sequence cww when three letters picked without replacement from {c: 3, w: 2}? 1/10 Two letters picked without replacement from aak. What is prob of sequence aa? 1/3 What is prob of sequence kxx when three letters picked without replacement from xkkkkkxxkkkxx? 40/429 Four letters picked without replacement from jjyjjjyyjjjjyj. Give prob of sequence jyyj. 45/1001 What is prob of sequence mmjm when four letters picked without replacement from {m: 4, j: 7}? 7/330 What is prob of sequence kz when two letters picked without replacement from nzzznzkznnkzzk? 3/26 Two letters picked without replacement from {s: 7, y: 5, m: 7}. What is prob of sequence yy? 10/171 Three letters picked without replacement from {c: 1, g: 3, z: 4, l: 6}. Give prob of sequence lcg. 3/364 Two letters picked without replacement from {m: 17, g: 2}. Give prob of sequence mg. 17/171 What is prob of sequence zo when two letters picked without replacement from {o: 5, z: 2, e: 2, r: 2, f: 9}? 1/38 Calculate prob of sequence dt when two letters picked without replacement from {s: 1, d: 2, t: 3, w: 7, f: 2, b: 5}. 3/190 Four letters picked without replacement from wkwwhhhcwwkw. What is prob of sequence whhw? 1/66 What is prob of sequence htr when three letters picked without replacement from {r: 1, q: 1, t: 1, w: 1, h: 1}? 1/60 Two letters picked without replacement from uvvuhhvvu. Give prob of sequence uu. 1/12 Calculate prob of sequence tts when three letters picked without replacement from {v: 3, t: 3, s: 5}. 1/33 Two letters picked without replacement from ppplpplplpp. What is prob of sequence ll? 3/55 Calculate prob of sequence hh when two letters picked without replacement from {n: 3, h: 12, i: 3}. 22/51 What is prob of sequence ixri when four letters picked without replacement from vvvriixrqvxvxvx? 2/4095 Two letters picked without replacement from pmjoo. Give prob of sequence pm. 1/20 What is prob of sequence sj when two letters picked without replacement from kksj? 1/12 What is prob of sequence aea when three letters picked without replacement from {e: 12, a: 3}? 12/455 Calculate prob of sequence urfl when four letters picked without replacement from furffrffrurflurf. 1/416 What is prob of sequence eo when two letters picked without replacement from epoez? 1/10 Two letters picked without replacement from shcqqqhsssshhqsqhsh. What is prob of sequence qc? 5/342 What is prob of sequence xxp when three letters picked without replacement from pppdxexdpe? 1/90 Calculate prob of sequence muuu when four letters picked without replacement from uumumccc. 1/140 What is prob of sequence hkfh when four letters picked without replacement from {h: 2, k: 2, f: 1}? 1/30 Four letters picked without replacement from {a: 1, v: 19}. What is prob of sequence aavv? 0 Three letters picked without replacement from {q: 3, f: 1}. What is prob of sequence qff? 0 What is prob of sequence zz when two letters picked without replacement from {k: 1, x: 2, z: 2, o: 1}? 1/15 Calculate prob of sequence
{ "pile_set_name": "DM Mathematics" }
Let z = v - 131.999999084. Round z to 7 decimal places. 0.0000009 Let h = 0.195 - -0.124. Let b = 0.3068 - h. What is b rounded to two decimal places? -0.01 Let r = -607.00012615 + 607. What is r rounded to six decimal places? -0.000126 Let n = -2062.489252582 + 0.503982582. Let k = n - -2062. What is k rounded to 3 decimal places? 0.015 Let r = 2.05 - 110.05. Let p = r - -108.64. What is p rounded to 1 decimal place? 0.6 Let u = -93310 + 93309.9943599. Round u to 4 dps. -0.0056 Suppose 0*p - p - 7 = -3*z, 0 = 5*p + 5*z - 25. Suppose 7*b = 2*v + p*b + 2493, 5046 = -4*v - 2*b. Let f = v - -842. Round f to the nearest 100. -400 Let m = -2.1114 + -245.8986. What is m rounded to zero decimal places? -248 Suppose -3*y - 2*l = 12092, 14581 = -4*y + 3*l - 1519. Let k = y - -2449. Round k to the nearest 100. -1600 Let x = -0.64 - 449.36. Let y = -456.5 - x. Round y to the nearest ten. -10 Let m = 21778870631.00000087 + -21778870738. Let k = 0.37 - 107.37. Let h = m - k. What is h rounded to seven decimal places? 0.0000009 Let f = -36.038 - -36. Let n = 0.0682 + f. Let g = -0.024 + n. What is g rounded to three dps? 0.006 Let v = -83207 - -83206.9812396. Let f = v + 239.5697604. Let u = 240 - f. Round u to one decimal place. 0.4 Let f = 55.177 - 0.577. Let s = f + -106.2. Round s to the nearest ten. -50 Let c = 4184.5766737 + -0.5876737. Let b = -4181 + c. Let a = b + -2.87. What is a rounded to 2 dps? 0.12 Let r = -2755588736 - -2755588613.9999861. Let k = -122 - r. What is k rounded to six decimal places? 0.000014 Let i = -96753.6 - -82145. What is i rounded to the nearest 100? -14600 Let o = 203 - 597. Let a = 394.00001235 + o. What is a rounded to 6 dps? 0.000012 Let y = -4.0538966 + -59826.9921034. Let n = 59921 + y. Let d = n + -90. What is d rounded to three decimal places? -0.046 Let y = -181.3242 + 78.025. Let m = 109.3 + y. Let c = -6 + m. Round c to three decimal places. 0.001 Let r = -2.14 + 3.34. Let o = r - 0.235. Round o to 1 dp. 1 Let d(k) = -58184*k - 32. Let j(m) = -m + 1. Let v(q) = -d(q) - 2*j(q). Let a be v(-5). Round a to the nearest ten thousand. -290000 Suppose -2*k = 8*c - 10*c - 110, 43 = k - 4*c. Suppose 0 = 5*s - k - 951. Round s to the nearest ten. 200 Let q = 222.0671056 - 222.06. What is q rounded to 5 dps? 0.00711 Let c = -1492 + 5859. Suppose -c + 1277 = 5*k. Let v be (-10)/15*5*k. What is v rounded to the nearest 100? 2100 Let a = -24639.000019349 - -24639. What is a rounded to 6 dps? -0.000019 Suppose 27 = 15*n + 132. Let l(k) = 117756*k**2 + 12*k + 40. Let m be l(n). What is m rounded to the nearest one hundred thousand? 5800000 Let n = 1306362 - 1306362.00959621. Let g = n - -0.0096. Round g to 7 decimal places. 0.0000038 Let v = 198421.9999911343 + -198422. What is v rounded to 6 decimal places? -0.000009 Suppose -78*n + 75*n = i - 96034, -3*i = 4*n - 288122. What is i rounded to the nearest 1000? 96000 Let y = 10.2 + -10.124. Let m = y - 0.0764. Let a = m - -0.00277. What is a rounded to three dps? 0.002 Let x = 40412.913364 - 40413. Let f = x + 0.0879. Round f to 4 dps. 0.0013 Let v = 0.0045632 - 0.8144222. Let n = 0.284 - -0.526. Let i = n + v. Round i to 5 decimal places. 0.00014 Let d = -19370.999957788 - -19371. What is d rounded to seven decimal places? 0.0000422 Let c = -40.5385267 - -1.5385299. Let y = 1210 + -1171. Let v = y + c. Round v to 6 decimal places. 0.000003 Let q = 538.42 - 3.42. Let k = q - 535.0319. Round k to 3 decimal places. -0.032 Let q = 2524.052287 + -2524. What is q rounded to three dps? 0.052 Let z(m) = -4*m**3 - 6*m**2 + 6. Let g = -56 - -60. Let n be z(g). Let j be (0 - -1)*1/(2/n). Round j to the nearest 10. -170 Let n(y) = -2*y**3 - 2*y**2 - 6*y + 81450000. Let r be n(0). What is r rounded to the nearest one million? 81000000 Let n(f) = 5*f + f - f - 7053*f**2 + 2 + 10*f. Let a be n(-7). Round a to the nearest 100000. -300000 Suppose 142545000 = -475*q + 432*q. What is q rounded to the nearest one hundred thousand? -3300000 Let o be (-1 - -2)*11*4509959/451. What is o rounded to the nearest 10000? 110000 Let t(b) = 605636*b + 1904. Let n be t(1). What is n rounded to the nearest one thousand? 608000 Let i = 87236581.4806004 - 83195155.98059. Let g = i - 4041431. Let j = g + 5.5. Round j to six decimal places. 0.00001 Let t = -2.34 - -51.54. Let m = 49.19413 - t. Round m to three decimal places. -0.006 Let j = -3.212 + 0.062. Let b = j - -3.15954. Round b to three decimal places. 0.01 Let a = 71.707 - 48.316. Let n = a - 23.2. Let v = n + 2.439. What is v rounded to 1 decimal place? 2.6 Let q = 5.49 + -1692.49. Let s = q - -1686.99231. Round s to three decimal places. -0.008 Let x = 580 - 579.9215. Let z = -0.3283 + x. Round z to two decimal places. -0.25 Let q be -1*17*9*(-15)/135. Let s(w) = -23*w**3 + 10*w**2 - 13*w + 30. Let u be s(q). What is u rounded to the nearest ten thousand? -110000 Let d = -3725 + 2162. Let m = -1566.516623 + 2.889623. Let i = d - m. What is i rounded to one dp? 0.6 Suppose -430 - 246 = 13*d. Let n = d + 63. Suppose n*x + 7900 = 12*x. What is x rounded to the nearest one thousand? 8000 Let r(f) = 7530*f - 1 + 3234*f + 22145*f. Suppose 38*l = 33*l - 55. Let j be r(l). What is j rounded to the nearest ten thousand? -360000 Let g(k) = 83939*k**3 - 23*k**2 + 24*k. Let c be g(1). Round c to the nearest 10000. 80000 Let r = 1423.1 - 1433.983. What is r rounded to one dp? -10.9 Let g = -19.44795 - 0.09105. Let n = 19.4 + g. Let c = 58.361 - n. What is c rounded to the nearest 10? 60 Let a = 0.02 - -101.98. Let i = a - 47. Let l = i + -54.999996. Round l to 5 dps. 0 Let r(f) = 2694*f**2 - 2*f - 18. Let m be r(9). Suppose 25*p + 1896822 = -m. What is p rounded to the nearest 100000? -100000 Let u = -19.52 - -20. Let w = -0.243 + u. Let d = w - 0.23699673. What is d rounded to seven dps? 0.0000033 Let k = -294391 + 294984.0496. Let q = k + -593. What is q rounded to 2 dps? 0.05 Let a = 811 + -811.406. Let u = 0.123 - a. Round u to 2 decimal places. 0.53 Suppose -2*v = 2*m + 6, -2*m - v + 13 = -5*m. Let o = m - -4. Suppose -6*k + 16393925 + 12406075 = o. What is k rounded to the nearest one million? 5000000 Let y = 245 - 242. Suppose 0 = y*n + 5*r - 12035, -2*n = -5*r + 3989 - 12054. What is n rounded to the nearest one thousand? 4000 Let m be (10885 - (3 + -1))*5. Suppose -m - 70585 = v. What is v rounded to the nearest 10000? -130000 Let l = -663912.359458 + 663968.46. Let y = 56.1 - l. Round y to four dps. -0.0005 Let m = 8.04997697 + -8.05. Round m to six decimal places. -0.000023 Let y = -84.95 - 1.05. Let q = y + 62. Let d = q - -23.99999. Round d to six decimal places. -0.00001 Let o = -6.3 - -6.5. Let h = 0.105 + o. Round h to 1 dp. 0.3 Let i = -1.03 - -48.03. Let g = 7.22036318 + -54.22036256. Let f = g + i. What is f rounded to 7 decimal places? 0.0000006 Suppose -23*n = -20*n - 22974. Suppose 3*c + 4*g = n, 0 = -5*c + 4*c + 2*g + 2556. Round c to the nearest one hundred. 2600 Let h = 6.39501 + -0.42281. Let w = h - 6. What is w rounded to 2 dps? -0.03 Let q = 14307 + -14307.024952. Round q to 2 decimal places. -0.02 Let o = -236 + 275.2. Let u = -39.22094 + o. What is u rounded to 3 decimal places? -0.021 Suppose -2*b - 1998637 = 3*y + 273754, 5*b + 2*y = -5680994. What is b rounded to the nearest 100000? -1100000 Let h = -29.539999147 - -29.54. Round h to 7 dps. 0.0000009 Let s = -1825.1 + 2111.81. What is s rounded to the nearest 10? 290 Let i(r) = -28652*r**3 + 19*r**2 - 45*r + 250. Let y be i(5). Round y to the nearest 100000. -3600000 Let x = -0.06071 + 0.060714352. Round x to seven dps. 0.0000044 Suppose 3*p - 45194991 = -3*s, 54396058 = 4*s + 3*p - 5863933. What is s rounded to the nearest 1000000? 15000000 Let t = 15753.57300296 - 15753.39. Let z = t + -0.183. Round z to seven decimal places. 0.000003 Let w = -0.560003 - -0.5633. What is w rounded to four dps? 0.0033 Let g = 3602 + -3602.9935. Round g to 1 decimal place. -1 Let j = 0.183872042 + -0.184. Round j to 5 dps. -0.00013 Suppose 116*f + 2510343 = 215*f. Round f to the nearest 1000. 25000 Let z = 449.3 + -83.3. Let d = -365.999999739 + z. What is d rounded to 7 decimal places? 0.0000003 Let h = 6965 + -6965.10807. What is h rounded to three dps? -0.108 Let p = -735.2 + 735.199979148
{ "pile_set_name": "DM Mathematics" }
100011011110010 - -11? 10000100011011110101 In base 7, what is -41 - -33063? 33022 In base 12, what is 3ab4 - b? 3aa5 In base 16, what is 39 + -6c5f? -6c26 In base 8, what is -20773 + 6? -20765 In base 14, what is -2d07c + -1? -2d07d In base 16, what is 26 - 365? -33f In base 5, what is -23443023 - 11? -23443034 In base 15, what is 13618 + -9? 1360e In base 14, what is 2 + -2c16? -2c14 In base 7, what is -3654220 + 5? -3654212 In base 13, what is -378 + 2b3? -95 In base 13, what is -c75 + 1695? 720 In base 15, what is -4 + -66a4? -66a8 In base 11, what is 10447 - -113? 1055a In base 16, what is -176 + -1d65? -1edb In base 5, what is -223133 + 1? -223132 In base 9, what is -1033022 + -2? -1033024 In base 2, what is 1010010111111000 + 100? 1010010111111100 In base 16, what is 12d7 + -95? 1242 In base 4, what is 2223 + -1132212? -1123323 In base 6, what is 1040330 + 1? 1040331 In base 14, what is -1 + 2c202? 2c201 In base 14, what is 11592 - -13? 115a5 In base 15, what is 250 - -d3? 333 In base 16, what is 64d - 77? 5d6 In base 16, what is -b8b2c - 5? -b8b31 In base 15, what is 5 - -1e757? 1e75c In base 8, what is 3 - 63221? -63216 In base 12, what is 1 - 7440? -743b In base 5, what is 211412 + 11? 211423 In base 8, what is 226756 + -1? 226755 In base 9, what is 1255 + 1? 1256 In base 4, what is 0 - -3220132? 3220132 In base 2, what is 11000 - 110011001011? -110010110011 In base 6, what is -14 + -3044? -3102 In base 3, what is 2121 + 1201200? 1211021 In base 12, what is -440 + 30b? -131 In base 7, what is 305133 + -3? 305130 In base 11, what is 67793 - -8? 677a0 In base 15, what is -1840 - 21? -1861 In base 11, what is -3979 - a? -3988 In base 12, what is 43 + -2021? -1b9a In base 11, what is 15 - -2984? 2999 In base 16, what is 17467 + -f? 17458 In base 10, what is 142817 + 2? 142819 In base 12, what is -4 + -25287? -2528b In base 6, what is -203523320 - 1? -203523321 In base 5, what is -1021 + -23433? -30004 In base 11, what is -15897 - -12? -15885 In base 3, what is -21120 - 10212? -102102 In base 12, what is -226361 - 4? -226365 In base 3, what is 2000001200 + 10? 2000001210 In base 4, what is 3010 - -213? 3223 In base 12, what is 1622 - -2? 1624 In base 12, what is -38957a + a? -389570 In base 6, what is 235 + -2103? -1424 In base 3, what is 12 - 21100212112? -21100212100 In base 5, what is -4 + 221031? 221022 In base 13, what is -1 + 8125? 8124 In base 4, what is -322 - 10302130? -10303112 In base 12, what is -387 - -9b8? 631 In base 7, what is -1611 - 2501? -4412 In base 5, what is -32 + -1110014? -1110101 In base 5, what is -422 + 11112? 10140 In base 4, what is 110000130 - -1? 110000131 In base 9, what is 5 + -71274? -71268 In base 6, what is -4 - 54352? -54400 In base 3, what is 11220022112101 - 1? 11220022112100 In base 3, what is 2001202212 - -11? 2001210000 In base 10, what is 1565 - -6? 1571 In base 15, what is -15a374 - -2? -15a372 In base 14, what is ab - -247b? 2548 In base 10, what is 59096 + 5? 59101 In base 10, what is -1399 - 34? -1433 In base 9, what is -1101455 - -3? -1101452 In base 8, what is -370 + -10? -400 In base 10, what is -1 - -366288? 366287 In base 7, what is 33102 + -3? 33066 In base 4, what is -30120 - 310? -31030 In base 8, what is 0 + -157077? -157077 In base 3, what is -100101 + -121022122? -121200000 In base 15, what is 10833 - -6? 10839 In base 6, what is -235424423 + 5? -235424414 In base 15, what is -25 - 659b? -65c1 In base 9, what is -100447 - -4? -100443 In base 11, what is 4 - 28767? -28763 In base 7, what is -5 - -13234? 13226 In base 14, what is 19 + -76b6? -769b In base 4, what is 21 + 10030230? 10030311 In base 13, what is -11 + 691a5? 69194 In base 13, what is c - -19c9? 1a08 In base 3, what is -1 - 111011100? -111011101 In base 3, what is 0 + -21220002121? -21220002121 In base 4, what is -102023 + 223? -101200 In base 2, what is -111 - 111010001110? -111010010101 In base 4, what is -1200003 + -201? -1200210 In base 15, what is -950 - 86? -9d6 In base 12, what is 4 + 1a578? 1a580 In base 13, what is 3b838 - -3? 3b83b In base 16, what is -14a + e53? d09 In base 13, what is -4b + -3c2? -440 In base 4, what is 0 - 3320100? -3320100 In base 10, what is -5126 - -36? -5090 In base 12, what is 4b70b + -4? 4b707 In base 7, what is -31 - 6021? -6052 In base 3, what is 10 + 112011101102? 112011101112 In base 10, what is 30 + -3137? -3107 In base 7, what is 4540512 + 5? 4540520 In base 10, what is 77162 + -1? 77161 In base 10, what is -5 + -61944? -61949 In base 9, what is 110266 - 3? 110263 In base 13, what is 28c - -613? 8a2 In base 7, what is -14450 + 6? -14441 In base 16, what is -7b - -5f? -1c In base 5, what is 113 + 10311? 10424 In base 10, what is -10 + -873? -883 In base 6, what is 10323 - 3520? 2403 In base 16, what is f + 1aa? 1b9 In base 11, what is 18 - 415? -3a8 In base 5, what is -210 + 332234? 332024 In base 2, what is 11 + -1100011000101100? -1100011000101001 In base 5, what is -2100 - -101? -1444 In base 11, what is -17a45 + 1? -17a44 In base 2, what is 11001 + 10001000101101? 10001001000110 In base 14, what is -26d + d? -260 In base 5, what is -3 - -241122? 241114 In base 15, what is -596 + -106? -69c In base 12, what is 1 - 31873? -31872 In base 16, what is 712d + 1? 712e In base 15, what is 111 + -1e? e2 In base 8, what is 4 + 17165? 17171 In base 11, what is 1 - -5276a? 52770 In base 8, what is 3 - -72475? 72500 In base 5, what is -30130 + -2002? -32132 In base 13, what is -2 + 68b3? 68b1 In base 14, what is 1 - -772b? 772c In base 8, what is 12042066 - 3? 12042063 In base 14, what is -4 + 330? 32a In base 11, what is 60a - -154? 763 In base 16, what is -1995 + 6? -198f In base 3, what is 0 + 122111200? 122111200 In base 10, what is -30 - -7362? 7332 In base 4, what is -21 - -112012? 111331 In base 14, what is -88 + a7? 1d In base 10, what is 141731 + 4? 141735 In base 15, what is 1 - 1193a? -11939 In base 16, what is -1 + -13f8c0? -13f8c1 In base 16, what is 164d5 - -1? 164d6 In base 9, what is -22133 + -3? -22136 In base 11, what is 2363 - 52? 2311 In base 6, what is -150453 + 33? -150420 In base 16, what is -282 - -84? -1fe In base 6, what is 0 - 23440? -23440 In base 2, what is -1 + 101101010001001? 101101010001000 In base 3, what is -2200 - -21100? 11200 In base 12, what is 977ab + 2? 977b1 In base 13, what is 32497 + -4? 32493 In base 3, what is -2010220010 - -200? -2010212110 In base 4, what is 2103 + -3112223? -3110120 In base 13, what is 3a98 + 5c? 3b27 In base 6, what is 251 + 23015? 23310 In base 3, what is 1011002222101 + -10? 1011002222021 In base 2, what is -1001000011 + -100010110? -1101011001 In base 13, what is -2 + -106c2? -106c4 In base 11, what is -79 - 14083? -14151 In base 6, what is -24 + -1055? -1123 In base 12, what is -708b7a + -4? -708b82 In base 12, what is -258890 - -3? -258889 In base 6, what is -25431 + -1? -25432 In base 14, what is 1 + 2a50? 2a51 In base 6, what is -1 - -1350553? 1350552 In base 14, what is -128 + -5256? -5380 In base 9, what is -1 - -60? 58 In base 10, what is -2810 - 8? -2818 In base 15, what is -1950 + -1a? -196a In base 12, what is 35 + 449? 482 In base 8, what is -4 + 23467? 23463 In base 2, what is -100111111101 + -11101? -101000011010 In base 8, what is 3 + 1351212? 1351215 In base 3, what is -1200011222211 + -1? -1200011222212 In base 9, what is 77617 + 4? 77622 In base 14, what is -823 - -4? -81d In base 15, what is 65 - a7? -42 In base 14, what is 1d + -181? -162 In base 14, what is 0 + -164ca5? -164ca5 In base 2, what is 1010100 - -11111111100? 100001010000 In base 10, what is 1501 + 49? 1550 In base 13, what is -8 + -4746? -4751 In base 3, what is 10021 - 12101221? -12021200 In base 2, what is 1 - 1011000101110010? -1011000101110001 In base 6, what is 42000 - -1011? 43011 In base 15, what is 2 + 3977? 3979 In base 15, what is -8 + -a2de? -a2e7 In base 11, what is -1a5617 - 1? -1a5618 In base 12, what is 0 + -6b0? -6b0 In base 16, what is 3 + -448c? -4489 In base 12, what is 11b4 - 1b8? bb8 In base 13, what is 2a40c - -5? 2a414 In base 15, what is aa9 + 32? adb In base 8, what is 334 - 1374? -1040 In base 13, what is 19 + -23a4? -2388 In base 5, what is -4141 - 1003? -10144 In base 8, what is -6520 + -1611? -10331 In ba
{ "pile_set_name": "DM Mathematics" }
305*c**2 - c + 2. Factor k(l). 2*(l + 1)*(l + 918)/11 Suppose -118/7 + 2/7*d**2 + 116/7*d = 0. Calculate d. -59, 1 Let x(r) be the first derivative of 3/20*r**5 - 1/4*r**3 + 3/16*r**4 + 136 + 0*r**2 + 0*r - 1/8*r**6. Determine f, given that x(f) = 0. -1, 0, 1 Suppose -3198*f**5 - 74*f**2 + 10*f**2 - 48*f**3 + 3202*f**5 = 0. What is f? -2, 0, 4 Let q(j) be the second derivative of -j**5/20 + 55*j**4/6 - 931*j**3/2 - 6498*j**2 - 1149*j. Determine h so that q(h) = 0. -4, 57 Let k(x) = -6*x**2 + 36*x - 23. Suppose 13 = -20*q + 113. Let o(m) = 5*m**2 - 31*m + 22. Let z(g) = q*o(g) + 4*k(g). Let z(r) = 0. What is r? 2, 9 Let b be (-22)/4 + 4 + (-36115)/(-20970). Let 160/9*a + b*a**3 - 200/9 + 38/9*a**2 = 0. Calculate a. -10, 1 Let d(k) = -k**3 - 103*k**2 - 675*k + 1. Let j be d(-96). Solve 17*h + j + 1/4*h**2 = 0. -34 Suppose 5*o - 2*s + 615 = 0, 5*o + 615 = -3*s - s. Let k = -83 - o. Factor -k*c**2 + c**3 - 4*c + 40*c**2 + 3*c**3. 4*c*(c - 1)*(c + 1) Let v(p) be the third derivative of -p**5/80 + 277*p**4/32 - 275*p**3/4 + 2290*p**2. Find z, given that v(z) = 0. 2, 275 Solve 25/2*i + 0 + 1/2*i**3 + 13*i**2 = 0 for i. -25, -1, 0 Let h(q) = -72*q**2 + 238*q + 35. Let d(k) = -38*k**2 + 123*k + 17. Let t(l) = 5*d(l) - 3*h(l). Solve t(a) = 0. -5/26, 4 Let u = 4505 + -31487/7. Factor 288/7 + 2/7*l**2 + u*l. 2*(l + 12)**2/7 Let f(j) = -2*j**2 - 2. Let z be (-6)/(-9)*-12 + 2. Let u(v) = -11*v**2 - v - 24. Let r(y) = z*f(y) + u(y). Suppose r(l) = 0. What is l? -3, 4 Let i(w) = -553*w + 17696. Let l be i(32). Factor 3/4*s**5 + l*s + 0*s**2 - 3/2*s**3 - 3/4*s**4 + 0. 3*s**3*(s - 2)*(s + 1)/4 Let s = 437 - 435. Let w be ((-54)/(-63))/2 - 0. Suppose -w*r**3 + 24/7*r**s - 39/7*r + 18/7 = 0. Calculate r. 1, 6 Let i(m) be the second derivative of 0 - 10*m + 3/7*m**4 + 32/7*m**3 + 1/70*m**5 + 128/7*m**2. Find x, given that i(x) = 0. -8, -2 Let v be (-100)/112 - ((-8)/6 - 1/(-3)). Let r(i) be the first derivative of -v*i**4 + 6/7*i + 0*i**3 - 6 + 9/14*i**2. Let r(s) = 0. Calculate s. -1, 2 Let r(x) = x**3 - 30*x**2 - 2276*x + 14. Let q be r(-35). Factor 1/2*j**4 + 8*j**3 + 0 + 77/2*j**2 + q*j. j*(j + 2)*(j + 7)**2/2 Let x(m) be the first derivative of 5*m**6/6 + 5*m**5 + 45*m**4/4 + 35*m**3/3 + 5*m**2 + 1044. Solve x(c) = 0 for c. -2, -1, 0 Let c(t) be the first derivative of -2/3*t**3 - 6*t**2 - 16*t - 79. Factor c(g). -2*(g + 2)*(g + 4) Let u(r) be the third derivative of -r**5/30 - 625*r**4/12 - 208*r**3 - 773*r**2. Factor u(h). -2*(h + 1)*(h + 624) Let y(l) = -l**3 + 233*l**2 + 7303*l - 137. Let j be y(-28). Factor 27/2 + 21/2*x**2 - 45/2*x - 3/2*x**j. -3*(x - 3)**2*(x - 1)/2 Let n(i) be the third derivative of 1/510*i**5 - 1/1785*i**7 - 11 + 1/1020*i**6 + 0*i**3 - 2*i**2 - 1/204*i**4 + 0*i. Factor n(t). -2*t*(t - 1)**2*(t + 1)/17 Suppose 2*l + 16*h - 19*h = l + 6, 8 = -4*h. Solve -9/7*i**2 + l - 3/7*i = 0 for i. -1/3, 0 Suppose 3*a + l - 12 = 0, 7*l = 2*l + 15. Find j, given that -158 + j**a + 20*j**2 + 158 = 0. -20, 0 Let i = 9395/26774 - -31/2434. Let -i + 6/11*d - 2/11*d**2 = 0. What is d? 1, 2 Let d(v) = 4*v**3 + 19 + 8 - 8 + 15*v - 12*v**3 + 8*v**2. Let z(l) = -3*l**3 + 4*l**2 + 7*l + 8. Let y(r) = -2*d(r) + 5*z(r). Factor y(b). (b + 1)**2*(b + 2) Factor -44402000/3 + 29800/3*k - 5/3*k**2. -5*(k - 2980)**2/3 Let v(o) = o**3 + 29*o**2 - 30*o - 1. Let g be v(-30). Let x be 518/98 + (-4 - g). Solve 0*j + 12/7*j**3 + 0 - x*j**4 + 4/7*j**2 = 0 for j. -1/4, 0, 1 Let u(i) = 8*i**2 - 9*i - 53. Let p be u(10). Suppose 15*k**3 - 3*k**3 + 655*k**5 - p*k**5 + 72*k**2 - 8*k**4 + 54*k = 0. What is k? -3, -1, 0, 3 Let m(k) be the first derivative of -k**5 - 15*k**4 + 165*k**3 - 405*k**2 + 152. Find c, given that m(c) = 0. -18, 0, 3 Let u(o) be the second derivative of o**5/30 + 15*o**4/2 - 136*o**3/9 + 7027*o. Determine k so that u(k) = 0. -136, 0, 1 Let v be 13/(-966)*(-567 + 10) + -7. Let o = v - -2/483. Factor 7/2*j - o*j**2 - 3. -(j - 6)*(j - 1)/2 Let y be (-40)/(-126) - 4/72*12/(-6). Let i(b) be the first derivative of 1/7*b**3 + 3/7*b**2 + y*b + 35. Factor i(u). 3*(u + 1)**2/7 Let r(s) = -20*s**2 + 18*s + 29. Let g(d) = d**3 - 3*d**2 + 3*d - 18. Let a be g(3). Let z(p) = 9*p**2 - 10*p - 15. Let f(m) = a*z(m) - 4*r(m). Factor f(q). -(q - 19)*(q + 1) Suppose -3*j - 2*j + 70 = 0. Let v = -1521 + 1531. Factor -33*g**4 + 3*g**5 + v*g**4 + j*g**4 + 6*g**3. 3*g**3*(g - 2)*(g - 1) Let d be -43*(-1)/9 + -3 + 402/1809. Find m, given that 20/9*m**d + 0 + 7/9*m - 31/9*m**3 + 4/9*m**4 = 0. -1/4, 0, 1, 7 Let t = 6/227 + 155/2724. Let x(s) be the third derivative of 0 + 15*s**2 + 0*s**3 + 0*s + 1/24*s**6 + t*s**5 + 0*s**4. Let x(h) = 0. What is h? -1, 0 Let o(b) = -b**2 + 14*b + 15. Let d be o(21). Let p = 134 + d. Factor -35*w**p + 2576*w**3 + 8*w - 2572*w**3 + 15*w + 8. (w - 8)*(w - 1)*(4*w + 1) Let c = -32124 + 4593839/143. Let f = c - -21/13. Factor 26/11*l**2 - f*l - 8/11 + 8/11*l**3. 2*(l - 1)*(l + 4)*(4*l + 1)/11 Let v be 14 - (7 - 22/44). Find r such that v*r + 9 + 3/2*r**2 = 0. -3, -2 Let d be (-45 + 53)*(-3)/(-6). Let t(i) be the second derivative of 3*i + 6/11*i**3 - 8/11*i**2 + 5/66*i**d + 0. What is m in t(m) = 0? -4, 2/5 Let x = 1406711/140 + -10048. Let n = x + 13/28. Factor -6/5*b**2 + 8/5 + 0*b - n*b**3. -2*(b - 1)*(b + 2)**2/5 Let z(u) be the second derivative of u**5/140 - 13*u**4/12 + 44*u**3/7 + 987*u - 3. Factor z(l). l*(l - 88)*(l - 3)/7 Let o be (-12)/15*((-44)/(-33))/(-1). Let f(c) be the first derivative of 4/3*c**2 + 7 + 7/30*c**4 + o*c + 4/5*c**3 + 2/75*c**5. Let f(m) = 0. Calculate m. -2, -1 Let r = -232 - -32. Let f = 204 + r. Factor 32/5*a**2 + 24/5*a + 4/5*a**f - 24/5*a**3 - 36/5. 4*(a - 3)**2*(a - 1)*(a + 1)/5 Let g(z) be the first derivative of 14*z + 8*z**2 + 2/3*z**3 - 59. Let g(p) = 0. What is p? -7, -1 Let w(l) be the third derivative of -l**5/120 - 719*l**4/24 - 516961*l**3/12 + 2400*l**2. Factor w(q). -(q + 719)**2/2 Let c(s) be the second derivative of s**5/140 - 143*s**4/84 + 2204*s**3/21 + 25992*s**2/7 - 13*s - 17. Factor c(g). (g - 76)**2*(g + 9)/7 Factor 1281*d**3 + 1285*d**3 + 1289*d**3 - 5141*d**3 - 396*d - 204*d**2 + 1283*d**3. -3*d*(d + 2)*(d + 66) Factor -31/8*v + 3/4 - 17*v**2 + 161/8*v**3. (v - 1)*(7*v + 2)*(23*v - 3)/8 Let f(i) be the second derivative of -i**4/9 + 112*i**3/9 - 1568*i**2/3 + i - 227. Factor f(b). -4*(b - 28)**2/3 Let g(f) = -2*f**2 + 10*f. Let n(b) = 7*b**2 + 18480*b - 17186580. Let q(i) = -6*g(i) - n(i). Let q(h) = 0. What is h? 1854 Let p(n) be the second derivative of n**4/3 + 403*n**3/6 - 101*n**2/2 - 61*n. Find l, given that p(l) = 0. -101, 1/4 Let b(v) = v + 1. Let r(w) = w**2 + 15*w + 24. Let s(i) = -4*b(i) + r(i). Let c be s(-9). Find l such that 0 + 1/2*l**c - 1/2*l = 0. 0, 1 Let z(q) = -28*q**3 + 6*q**2 + 24*q - 13. Let j(l) = -3*l**2 + 883*l + 4 + 10*l**3 - 891*l + l**2. Let p(f) = -11*j(f) - 4*z(f). Factor p(b). 2*(b - 2)*(b - 1)*(b + 2) Let n(c) be the second derivative of c**5/12 + 175*c**4/18 + 6125*c**3/18 - 498*c. Factor n(f). 5*f*(f + 35)**2/3 Let y be ((-15)/(-10))/(55/44*1*3). Determine w, given that 0 + 4/5*w + 6/5*w**2 + y*w**3 = 0. -2, -1, 0 What is f in 56*f**5 - 769*f - 54*f**5 - 2*f**4 - 457*f**3 + 291*f**2 - 931*f**2 + 301*f**3 + 65*f = 0? -4, -2, 0, 11 Let p(h) be the first derivative of -h**3/3 + 494*h**2 - 244036*h + 1310. Factor p(q). -(q - 494)**2 Let u = -28 + 37. Suppose g + 2*n + 4 = 0, -5*g - 5 + u = 2*n. Factor -m**2 - 2*m**3 + 5 + 6 + 11*m**g - 14*m - 5. -2*(m - 3)*(m - 1)**2 Let b(q) be the first derivative of 0*q**2 + 8/25*q**5 + 1/2*q**4 + 4/15*q**3 + 1/15*q**6 + 163 + 0*q. What is g in b(g) = 0? -2, -1, 0 Let l(d) = -d**3 + 10*d**2 + 38*d - 14. Let t be l(13). Let n be ((-14)/(-4) + 1)*(-6)/t. Factor 5/4*k + n + 1/4*k**2. (k + 1)*(k + 4)/4 What is z in -20/9*z**2 - 140/9*z**3 + 4/3*z + 100/9*z**4 + 16/3*z**5 + 0 = 0? -3, -1/3, 0, 1/4, 1 Let r(d) = -d**3 + 69*d + 133. Let x be r(-2). Let m(n) be the third derivative of -1/80*n**5 + 1/2*n**x + 0*n - 18*n**2 + 0*n**4 + 0. Factor m(w). -3*(w - 2)*(w + 2)/4 Let f be (-4)/(-26) - (8544/156)/(-8). Factor -11*s**5 + f*s**5 - 12*s + 8 + 7*s**3 + 3*s**5 + 0*s**2 - 2*s**2. -(s - 2)*(s - 1)**2*(s + 2)**2 Solve 668/3*h + 0 + 2/3*h**2 = 0 for h. -334, 0 Suppose -3 = q - 5. Find y such that -15*y**3 - 117*y**3 - 184*y**q - 34*y**
{ "pile_set_name": "DM Mathematics" }
t is the nearest to 0.2 in -9, -18057, 2/7, -13, 4? 2/7 Which is the nearest to -241? (a) 0.2 (b) 38 (c) 1 (d) -3/5 (e) -3 (f) -9/5 e What is the closest to -3 in 241/6, -0.4, -0.09, 0.4, 5? -0.4 Which is the nearest to -56.43? (a) 0.5 (b) -2/63 (c) -5 (d) 0.2 c What is the nearest to 2/9 in 266.4, -2, 0.018? 0.018 What is the nearest to -4 in -29, -4/13, -0.2, -107? -4/13 Which is the nearest to 0.1? (a) 2/3 (b) 163 (c) -0.01 (d) 0.1 (e) 4/275 d Which is the closest to -3/25? (a) 0.06 (b) 3.32 (c) -151 a What is the closest to -2/849 in 0.4, 0.05, 2/20787, 4? 2/20787 Which is the nearest to -2/7? (a) -17/4 (b) 372 (c) -0.073 (d) -1/6 d Which is the nearest to -235211? (a) 1/71 (b) -0.1 (c) 2 b Which is the nearest to 1372? (a) -0.1 (b) 4.9 (c) -27 b Which is the nearest to 33.5? (a) 2/15 (b) 37 (c) 1/3 b Which is the closest to 0.033? (a) 2/157 (b) 4/5 (c) 1/4 (d) 3/7 a Which is the closest to 2? (a) -0.029 (b) 15 (c) -0.2 (d) 3/8 (e) 8/3 e What is the nearest to 0.006 in -2/3, 285, -37.1? -2/3 Which is the nearest to 6/169? (a) 8 (b) 1.142 (c) 5 b What is the closest to 0.1747 in -2/253, -3/4, 0.06, 3/2? 0.06 What is the closest to -92 in 0.02, 683, -4? -4 What is the closest to -2/11 in 260, 1.8, 24? 1.8 Which is the nearest to 8? (a) 0 (b) 2 (c) -0.4 (d) 18342 (e) 4 e Which is the nearest to 0? (a) -1/1440 (b) 2 (c) -22/863 (d) -0.2 a Which is the nearest to -1/3? (a) -5 (b) -1.8 (c) 5 (d) 10/9 (e) 0.07 (f) -8 e What is the closest to -0.45 in 7/10, 42, 0.16? 0.16 What is the closest to -2 in 40604, 1/5, -52? 1/5 Which is the nearest to -2? (a) 18 (b) 114 (c) -0.1 (d) -5 (e) -3/4 e What is the nearest to 240 in -1, 0.4, -1/5644? 0.4 Which is the closest to -0.2? (a) -15 (b) -1/22 (c) 3 (d) -0.5 (e) 0.3 b Which is the closest to -3? (a) -20129/7 (b) -1 (c) 0.09 b What is the closest to 214 in -17.3, 0.4, -3, 3? 3 Which is the nearest to -1? (a) -1/10021 (b) 3/2 (c) -5 (d) -0.5 (e) -1/4 d What is the nearest to 15 in -57, 2/5, 11, 543, -2/9? 11 What is the closest to -3 in -105.896, 2, -3/8, -3? -3 What is the nearest to -3 in -5, 3/11, 1, 0.3, -446? -5 What is the closest to 0.1 in -0.013, -3, -2, -2912055? -0.013 What is the closest to 0 in -786, 0.2, 1448? 0.2 Which is the nearest to -6? (a) -2/5 (b) 4/87 (c) 4 (d) 30 (e) -4 e What is the closest to -20.86 in -0.02, -3/43, 2, -1? -1 What is the nearest to -0.2 in 832/7, 5, -2/11, 3, 4/65? -2/11 What is the nearest to -2/181 in 0.3, 3, -4, 1/4, -0.3, 5? 1/4 What is the closest to 2/9 in 1/8, 2/13, 9, -3/4? 2/13 What is the closest to 2/17 in -1/11, 0.4, 0.2, 0.004, 10? 0.2 What is the closest to 1/3 in -1, 0.051, 3/7, 6167? 3/7 What is the nearest to 0.24 in -38, 0.2, -60.6, 2/9, 0.1? 2/9 What is the closest to -1/2 in 94, -0.1, 173, 3/7, 0? -0.1 What is the closest to 0 in 0.3, -0.0524, 0.4, -194? -0.0524 Which is the nearest to -202? (a) -4 (b) -3/5 (c) -2 (d) -18/95 (e) 2 a What is the closest to 3631429 in -1, 4, -2? 4 What is the closest to 82 in 1, 9, -39, 16? 16 What is the closest to -2/3 in -1104.41, 5, 6/5? 6/5 Which is the nearest to 1? (a) 33.68 (b) -1/2 (c) 25 (d) 5 (e) 0 e What is the closest to 7 in -2/11, 2355, 0.4, 1/3, 3? 3 Which is the closest to -127? (a) 5 (b) 3 (c) 0.4 (d) 78 c What is the nearest to 2 in 11/5, 2, 0.1428716? 2 Which is the nearest to -14959? (a) -1/2 (b) 1 (c) 1/4 (d) -26 (e) -0.01 d What is the closest to 1/3 in 1/5, 61, -4, 87.722, -0.06? 1/5 Which is the closest to -3/4? (a) 163 (b) 0.4 (c) -0.3 (d) 0 (e) 3 (f) -421 c Which is the nearest to 6.77? (a) 12 (b) 0.071 (c) 0 (d) 3 (e) -2/7 d What is the nearest to 1/2 in -1.272, -146, -5, -3, 3, 0? 0 What is the nearest to -10 in -148, 7, 5? 5 What is the closest to 2 in 204.25, -35, 0.4? 0.4 What is the closest to -1 in -11, -1, 14/13, -7, -160? -1 What is the closest to 7/5 in 4/7, -834/5, 4, -0.12, 0.4? 4/7 Which is the nearest to 0.071? (a) 0.117 (b) -4/147 (c) -5 a What is the closest to 2 in -1/3, 359, -2/29? -2/29 Which is the closest to 1? (a) 1/2 (b) -2 (c) 0.032 (d) -3 (e) 15.5 a What is the closest to 2 in 0.02, -15/4, -1/2, -0.09, -2, 0? 0.02 Which is the nearest to -0.5? (a) 14 (b) 3/20 (c) 5288 b Which is the nearest to 2/7? (a) -897 (b) 2 (c) 0.278 (d) 0.33 c Which is the closest to -406018? (a) 1/2 (b) -5 (c) 3/8 (d) 2/13 b Which is the nearest to 0.2? (a) 8 (b) -14730 (c) -10 a What is the nearest to 34 in 5, -1/5, 1727? 5 Which is the nearest to 20? (a) 53821 (b) -0.2 (c) -10 b Which is the closest to -1/3? (a) 0 (b) 4 (c) 15 (d) -2/67 (e) -3/8 (f) -4 e Which is the closest to 111? (a) -0.29 (b) -110 (c) 1/11 (d) -3 (e) -4 (f) 0.1 f What is the nearest to 0 in -2.1, -2/177, -23? -2/177 Which is the closest to -6069649? (a) -2 (b) -2/9 (c) 1/6 a Which is the nearest to -7? (a) -15 (b) 20 (c) 53.2 (d) -0.08 d What is the closest to -1 in 405, 7, 63? 7 Which is the nearest to -5151? (a) -2 (b) 0 (c) -5 c What is the nearest to -0.1 in 21, 0.809, 1, 1/3, 0.4? 1/3 What is the nearest to -24 in -0.05, 1495/14, -0.8? -0.8 Which is the closest to 405? (a) 39 (b) -1/2 (c) -62 (d) -3 (e) -0.01 a What is the closest to -5 in -3/8, 0, 1.8, 1381? -3/8 What is the nearest to 130 in 3, -1/5, 0.2, 27302? 3 What is the nearest to -0.2 in 2/3, -63, -2, -2/1801? -2/1801 Which is the nearest to -0.09022? (a) -2/9 (b) -3/5 (c) -8/7 (d) 0 (e) -19 d Which is the nearest to 0? (a) 8/3 (b) -0.143 (c) 15/22 (d) 0.3 (e) 0.7 b Which is the nearest to 453.59? (a) 3 (b) -6 (c) 16 c What is the closest to 1 in -0.7, 3, -959, -3/4, 1, -0.4? 1 Which is the nearest to -2894/9? (a) 5 (b) 176 (c) 0.4 (d) -2 d What is the nearest to 3 in 18, 2, -2/7, 0.2, 29, 6? 2 What is the nearest to -2/3 in -5983243, -0.4, 0? -0.4 What is the nearest to 1 in 26/1043, 0.86, 3/8? 0.86 Which is the nearest to -32/7? (a) 277 (b) -5 (c) 2 b Which is the nearest to -0.3? (a) -850 (b) -0.158 (c) -1/5 (d) 3 (e) -2.7 c What is the nearest to -7/4 in -0.6, 295, -3, 0.3, -1/15? -0.6 What is the closest to -1 in 36, 0, 21964, -0.01, 4? -0.01 What is the nearest to -2/295 in -4, -0.4, -1/6, -3/3682? -3/3682 Which is the closest to 109? (a) 0.28 (b) -38 (c) -4 (d) -1/4 (e) 1/2 e Which is the closest to 30? (a) 1148/55 (b) -1/6 (c) -2 a Which is the nearest to 0.5? (a) 0.1 (b) 0.5 (c) -3/818 (d) 1 (e) -74 (f) 4 b Which is the closest to -1/3? (a) 3 (b) 83 (c) 0.4 (d) 4 c Which is the closest to -16? (a) 1 (b) 3 (c) 0.040955 c Which is the nearest to 6/7? (a) 1/2 (b) -1 (c) 6 (d) -3 (e) -4 a Which is the closest to 170/41? (a) 0.18 (b) 2/5 (c) -13 b Which is the closest to -1/2? (a) -0.3 (b) 3/2 (c) -9516 (d) 0.2 (e) 14/3 (f) 0.3 a Which is the closest to 43? (a) -1/2 (b) 22 (c) 3 (d) -2 (e) -26 (f) 1/5 b Which is the nearest to -3/10? (a) -0.4 (b) -1130 (c) -0.24 (d) 5/11 c What is the nearest to -3/7 in 0.4, -90.5, 0.15? 0.15 What is the closest to 4 in 1663, -0.3, 538? -0.3 What is the nearest to 0.1 in -9, -0.190161, -4, -0.2, 15? -0.190161 Which is the nearest to 0? (a) -3/4 (b) 4 (c) 0 (d) -2275/253 c What is the nearest to 70/17 in -3, -9, -0.054? -0.054 What is the closest to -2945 in 0.5, -2, 1/56, 6/13, 0? -2 Which is the closest to 1? (a) -89 (b) -4/163 (c) -10 b What is the closest to 3/4 in -5/2, -1/3, -1110, -1? -1/3 Which is the closest to 23/2? (a) -3/5 (b) 20 (c) 37 b What is the closest to 45 in -4, -39, 2/3, 2/337? 2/3 Which is the nearest to 34179? (a) -2 (b) -9 (c) -20/3 a What is the nearest to -3 in 4, -3, -1659/2473? -3 Which is the nearest to 2.4? (a) -38523 (b) 2 (c) 0 b What is the closest to 15 in -4, 1/3, 1/9, 7933? 1/3 Which is the nearest to 5? (a) -2/7 (b) -1/3 (c) 1/410 (d) 1 (e) 7 e What is the nearest to -27 in -0.708, 0.2, 15? -0.708 What is the nearest to 150 in -0.0412, 0.2, 1? 1 What is the nearest to -2 in -3/5, 2566, 5, -5, -0.042? -3/5 What is the nearest to 0.037 in 92, 121, 0? 0 Which is the nearest to 3? (a) -2/21 (b) -5 (c) 1/4 (d) 0.132495 (e) -0.1 c Which is the closest to -0.5? (a) 4/7 (b) -0.1 (c) 45/7 (d) -4 (e) 0.043 (f) -3/2 b Which
{ "pile_set_name": "DM Mathematics" }
7408/11 = 0 for g. 8, 926 Let -2*g**3 - 1224*g**2 - 115302*g - 114080 = 0. What is g? -496, -115, -1 Factor -5*l**2 + 2565*l - 284310. -5*(l - 351)*(l - 162) Factor 5*f**3 + 1460*f**2 - 45*f - 13140. 5*(f - 3)*(f + 3)*(f + 292) Suppose 2*t**2 + 15928*t - 31864 = 0. Calculate t. -7966, 2 Find r, given that -3*r**3/8 + 4725*r**2/8 + 7143*r/4 - 16569 = 0. -7, 4, 1578 Solve -f**2/7 - 120*f/7 - 464/7 = 0. -116, -4 Factor 5*j**3 - 755*j**2 - 20*j + 3020. 5*(j - 151)*(j - 2)*(j + 2) Suppose -2*f**4 - 4100*f**3 - 2105346*f**2 - 4198400*f - 2097152 = 0. What is f? -1024, -1 Determine d so that -4*d**2 - 3924*d + 23688 = 0. -987, 6 Factor q**3/3 - 104*q**2/3 - 319*q/3 - 214/3. (q - 107)*(q + 1)*(q + 2)/3 Let -3*d**2/2 + 5628*d - 5279064 = 0. Calculate d. 1876 Suppose -q**2 - 4152*q - 4309776 = 0. Calculate q. -2076 Suppose -2*o**3/5 + 121244*o**2/5 - 1837513442*o/5 = 0. What is o? 0, 30311 Suppose 2*a**2/11 + 7188*a/11 - 7190/11 = 0. Calculate a. -3595, 1 Factor t**3 + 56262*t**2 + 791409420*t + 1582593800. (t + 2)*(t + 28130)**2 Factor 3*f**4 + 84*f**3 + 663*f**2 + 1086*f + 504. 3*(f + 1)**2*(f + 12)*(f + 14) Factor 2*j**3/13 + 24*j**2/13 - 482*j/13 - 168. 2*(j - 13)*(j + 4)*(j + 21)/13 What is h in -5*h**2 + 2534580*h - 321204788820 = 0? 253458 Factor -2*f**3/3 + 2296*f**2/3 + 37888*f + 459264. -2*(f - 1196)*(f + 24)**2/3 Determine a, given that -4*a**4/5 - 354333*a**3/5 - 7846859303*a**2/5 + 5885432376*a/5 + 1961781264/5 = 0. -44292, -1/4, 1 Factor 4*l**2/5 - 746*l + 20394/5. 2*(l - 927)*(2*l - 11)/5 Suppose -3*q**4/5 - 3063*q**3/5 - 1021221*q**2/5 - 103672149*q/5 + 501383076 = 0. Calculate q. -347, 20 Find a, given that -2*a**3/17 + 772*a**2/17 - 3762*a/17 - 18288/17 = 0. -3, 8, 381 Find u such that -9*u**3/10 + 2159*u**2/5 - 109662*u/5 - 24476/5 = 0. -2/9, 58, 422 Solve -p**4/2 - 797*p**3 - 635205*p**2/2 + 3188*p + 1270418 = 0. -797, -2, 2 Determine p so that -2*p**2/3 - 71668*p/3 - 642037778/3 = 0. -17917 Suppose -2*m**5 - 400*m**4/3 - 1252*m**3/3 + 2800*m**2 - 882*m = 0. What is m? -63, -7, 0, 1/3, 3 Let -2*c**5/3 + 70*c**4/3 - 578*c**3/3 + 466*c**2/3 + 2956*c/3 + 1840/3 = 0. What is c? -1, 4, 10, 23 Factor -s**4/3 - 23*s**3 - 1277*s**2/3 - 869*s + 3630. -(s - 2)*(s + 5)*(s + 33)**2/3 Factor 2*n**3/9 - 448*n**2/9 + 17782*n/9 + 18232/9. 2*(n - 172)*(n - 53)*(n + 1)/9 Factor 4*o**2 + 8808*o + 26388. 4*(o + 3)*(o + 2199) Find w, given that 2*w**5/7 - 34*w**4/7 - 162*w**3/7 - 18*w**2 = 0. -3, -1, 0, 21 Let -k**5/4 - 53*k**4/4 - 97*k**3/4 + 261*k**2/4 + 153*k/2 = 0. Calculate k. -51, -3, -1, 0, 2 Let -f**5/4 + 99*f**4 - 9398*f**3 - 79592*f**2 - 202404*f - 163216 = 0. Calculate f. -4, -2, 202 Suppose -3*d**4 + 2733*d**3 - 19029*d**2 + 40707*d - 24408 = 0. Calculate d. 1, 3, 904 Solve -2*p**3/5 + 14008*p**2/5 - 24528008*p/5 = 0 for p. 0, 3502 Solve -5*z**2 - 2014930*z = 0 for z. -402986, 0 Factor v**2 - 11706*v - 23416. (v - 11708)*(v + 2) Factor g**3/2 - 25582*g**2 + 102321*g/2 + 76743. (g - 51162)*(g - 3)*(g + 1)/2 Solve 5*v**3 - 590*v**2 - 80*v + 9440 = 0. -4, 4, 118 Suppose -v**5 + 322*v**4 - 20117*v**3 - 961576*v**2 - 3594516*v - 3508848 = 0. What is v? -28, -2, 177 Let 2*a**3/7 + 8772*a**2/7 + 9618498*a/7 = 0. What is a? -2193, 0 Find f such that -2*f**3 - 1850*f**2 + 1591984*f - 257326752 = 0. -1509, 292 Solve -g**4/11 + 347*g**3/11 - 7752*g**2/11 = 0. 0, 24, 323 Solve 3*y**2 - 79704*y + 529393968 = 0 for y. 13284 Let -3*f**3/8 - 1395*f**2/2 - 102771*f/2 - 966036 = 0. What is f? -1784, -38 Suppose -n**3/7 - 106*n**2/7 - 2791*n/7 - 738 = 0. Calculate n. -63, -41, -2 Find k, given that 2*k**5 + 68*k**4 - 2108*k**3 - 4784*k**2 + 10746*k + 13356 = 0. -53, -3, -1, 2, 21 Factor -3*s**2 - 3108*s + 9351. -3*(s - 3)*(s + 1039) Factor 20*a**3 + 244*a**2 - 840*a. 4*a*(a + 15)*(5*a - 14) Determine a so that -a**4/3 + 64*a**3/3 - 820*a**2/3 - 1456*a = 0. -4, 0, 26, 42 Factor -2*i**4/7 - 12*i**3/7 + 32*i**2/7. -2*i**2*(i - 2)*(i + 8)/7 Let -25*u**5 - 740*u**4 + 13625*u**3 - 34280*u**2 - 31420*u + 17200 = 0. What is u? -43, -1, 2/5, 4, 10 Factor -6*u**2 + 987*u - 1950. -3*(u - 2)*(2*u - 325) Suppose 4*p**2 - 3788*p + 791184 = 0. What is p? 311, 636 Factor m**4/6 - 37199*m**3/6 + 153809555*m**2/2 - 1910771242925*m/6 + 13330229709125/3. (m - 12395)**3*(m - 14)/6 Suppose 5*j**2 - 1485*j - 38520 = 0. Calculate j. -24, 321 What is y in -y**2/4 + 33*y/4 + 135 = 0? -12, 45 What is x in 5*x**2 - 4285430*x + 918245514245 = 0? 428543 Solve -2*l**5 - 484*l**4 - 462*l**3 + 4804*l**2 - 3856*l = 0. -241, -4, 0, 1, 2 Solve u**5 - 3*u**4 - 51*u**3 - 37*u**2 + 90*u = 0 for u. -5, -2, 0, 1, 9 Suppose 5*d**4 - 2160*d**3 - 15*d**2 + 6470*d + 4320 = 0. Calculate d. -1, 2, 432 What is d in 2*d**3/7 + 48506*d**2/7 - 776480*d/7 + 443776 = 0? -24269, 8 Let -h**2/3 - 96904*h - 7042788912 = 0. What is h? -145356 Suppose -n**2/3 - 23*n/3 + 248/3 = 0. Calculate n. -31, 8 Determine b so that -2*b**2 + 5212*b + 147504 = 0. -28, 2634 What is t in -t**3 - 291*t**2 - 1710*t = 0? -285, -6, 0 Let -16*b**3/7 + 2242*b**2/7 - 65224*b/7 + 8118/7 = 0. Calculate b. 1/8, 41, 99 Solve -j**4 + 29317*j**3 - 214856963*j**2 - 214886281*j = 0 for j. -1, 0, 14659 Determine j, given that 84*j**5 - 297*j**4 + 78*j**3 + 189*j**2 - 54*j = 0. -3/4, 0, 2/7, 1, 3 Factor 2*m**2/7 - 48140*m/7 + 289682450/7. 2*(m - 12035)**2/7 Solve f**4/2 + f**3 - 56*f**2 + 80*f + 384 = 0. -12, -2, 4, 8 Suppose -6*t**5 + 2078*t**4 - 190196*t**3 + 1756608*t**2 - 564480*t = 0. What is t? 0, 1/3, 10, 168 Suppose -2*p**5/3 + 103*p**4/6 - 33*p**3 - 656*p**2/3 + 533*p/3 + 115/2 = 0. What is p? -3, -1/4, 1, 5, 23 What is b in 3*b**5 + 516*b**4 - 3762*b**3 - 516*b**2 + 3759*b = 0? -179, -1, 0, 1, 7 Determine h so that 2*h**2 + 1931780*h + 466471746050 = 0. -482945 Solve 5*u**4 - 2765*u**3 + 32440*u**2 + 11060*u - 129840 = 0 for u. -2, 2, 12, 541 Factor -b**4 - 16*b**3 - 13*b**2 + 30*b. -b*(b - 1)*(b + 2)*(b + 15) Suppose 3*z**5/4 + 1131*z**4/4 - 9207*z**3/4 + 12765*z**2/4 + 5775*z = 0. Calculate z. -385, -1, 0, 4, 5 Factor -2*s**3 + 274*s**2 + 1192*s - 9024. -2*(s - 141)*(s - 4)*(s + 8) Solve -d**2/7 + 904*d/7 + 191337/7 = 0 for d. -177, 1081 What is x in 2*x**2 + 5355*x - 2678 = 0? -2678, 1/2 Factor 4*k**2/15 + 84358*k/5 - 126538/15. 2*(k + 63269)*(2*k - 1)/15 Find a such that 2*a**2/13 + 18*a/13 - 8024/13 = 0. -68, 59 Let -3*t**4 + 1029*t**3 - 100866*t**2 + 2141532*t - 9436392 = 0. What is t? 6, 21, 158 Factor -f**4/5 + 38*f**3/5 + 3363*f**2/5 + 1944*f. -f*(f - 81)*(f + 3)*(f + 40)/5 Factor 70*g**2 - 1695*g + 360. 5*(g - 24)*(14*g - 3) Find a such that 2*a**5/11 - 11584*a**4/11 + 16738812*a**3/11 + 100931584*a**2/11 - 117658814*a/11 = 0. -7, 0, 1, 2899 What is s in s**2 + 247*s + 4122 = 0? -229, -18 Factor -2*b**2 + 37504*b - 374840. -2*(b - 18742)*(b - 10) Factor -2*j**2/5 + 32*j - 3168/5. -2*(j - 44)*(j - 36)/5 Factor 4*l**2 - 1224*l + 69300. 4*(l - 231)*(l - 75) Factor -c**4/4 - 181*c**3/4 + 231*c**2 - 279*c. -c*(c - 3)*(c - 2)*(c + 186)/4 Factor -1796*p**2/5 - 14356*p/5 + 96/5. -4*(p + 8)*(449*p - 3)/5 Factor 20*l**4 + 205*l**3 - 1070*l**2 - 280*l. 5*l*(l - 4)*(l + 14)*(4*l + 1) Factor -392*k**3/9 - 31024*k**2/3 - 4426*k - 474. -2*(k + 237)*(14*k + 3)**2/9 Factor r**2/2 - 2632*r - 5265/2. (r - 5265)*(r + 1)/2 What is w in -2*w**5 - 202*w**4 - 1500*w**3 - 1100*w**2 + 1502*w + 1302 = 0? -93, -7, -1, 1 Solve 10*j**4/3 + 238*j**3/9 + 208*j**2/9 = 0. -104/15, -1, 0 Find q, given that q**2/2 - 887*q - 1776 = 0. -2, 1776 Let -j**2/2 - 23753*j - 564205009/2 = 0. What is j? -23753 Solve -5*f**4 - 8020*f**3 + 40230*f**2 + 8020*f - 40225 = 0. -1609, -1, 1, 5 Let -5*k**2 + 741640*k - 27501494480 = 0. What is k? 74164 Solve -4*s**4 + 2897*s**3 + 22736*s**2 - 32217*s + 6588 = 0 for s. -9, 1/4, 1, 732 Suppose 2*p**4/3 + 26972*p**3/3 + 90855146*p**2/3 - 181953112*p + 273051096 = 0. Calculate p. -6746, 3 Let 2*w**4/5 - 206*w**3/5 + 2748*w**2/5 - 9584*w/5 + 1408 = 0. What is w? 1, 4, 10, 88 Factor 2*r**3/5 - 700*r**2 + 85930*r - 2737800. 2*(r - 1620)*(r - 65)**2/5 Determine u so that -5*u**2 - 3600*u + 43920 = 0. -732, 12 Factor -13*o**2 + 2124*o + 13212. -(o + 6)*(13*o - 2202) Suppose 4*g**4 - 184*g**3 + 3040*g**2 - 21000*g + 49500 = 0. What is g? 5, 11, 15 Solve -2*m**4/3 - 2010*m**3 - 4529972*m**2/3 + 7628520*m + 63842800/3 = 0. -1510, -2, 7 Facto
{ "pile_set_name": "DM Mathematics" }
+ 65*m**4/12 - m**2 - 5*m + 4. Let s(d) be the third derivative of j(d). Factor s(o). (o - 3)**2/2 Let r be ((-532)/(-608))/((-21)/(-12)). Let h(g) be the second derivative of 5/2*g**2 - r*g**5 + 5/3*g**3 + 0 - 1/6*g**6 + 0*g**4 + 11*g. Factor h(u). -5*(u - 1)*(u + 1)**3 Let r(n) be the third derivative of n**6/1260 - 757*n**5/630 + 570*n**4 - 2268*n**3 + 32*n**2 - 12*n. Determine c, given that r(c) = 0. 1, 378 Let h(c) = 4*c**3 + 56*c**2 + 55*c + 6. Let t(f) = 3*f**3 + 55*f**2 + 54*f + 4. Let i(y) = 2*h(y) - 3*t(y). Suppose i(k) = 0. What is k? -52, -1, 0 Let n(g) be the first derivative of -216 - 5/2*g**2 + 30*g + 5/4*g**4 - 10*g**3. Factor n(l). 5*(l - 6)*(l - 1)*(l + 1) Let y(o) be the first derivative of o**4/12 + 214*o**3/9 - 217*o**2/6 - 430*o/3 + 2097. Find v such that y(v) = 0. -215, -1, 2 Suppose -340 = -288*x + 236. Let l(u) be the first derivative of 44*u + 20*u**x - 24 - 4/3*u**3. Solve l(z) = 0 for z. -1, 11 Factor 45*r - 76452*r**2 + 152898*r**2 - 76447*r**2 - 189*r - 284. -(r + 2)*(r + 142) Suppose 4*l - 9 = b, 5*l = 3*b + l + 11. Let a be 1 - b - (1 + 6)/(-7). Factor 15*f + 41 + 0*f - 5*f**a - 31. -5*(f - 2)*(f + 1)**2 Let c be (5/(75/(-6)))/((-5037)/(-115) - 46). Factor 16/11 - c*l**2 - 4/11*l. -2*(l - 2)*(l + 4)/11 Let a(b) = 6*b**2 - 117*b - 141. Let y(k) = -3*k**2 + 59*k + 70. Let j(n) = n**3 - 4*n**2 + 5. Let m be j(3). Let q(z) = m*a(z) - 9*y(z). Factor q(r). 3*(r - 22)*(r + 1) Determine w so that -226*w**2 - 229*w**2 - 235*w**2 + 927*w**2 - 241*w**2 - 3964*w = 0. -991, 0 Solve 3/7*m**3 - 15/7*m + 18/7 - 6/7*m**2 = 0 for m. -2, 1, 3 Let t = 836342/35 + -119476/5. Determine d, given that t*d**3 + 16/7*d**2 + 38/7*d + 24/7 = 0. -4, -3, -1 Let z be -3*(-130)/1575*4 - 8/10. Let m(x) be the third derivative of -7*x**2 + z*x**3 + 0*x + 1/210*x**5 + 1/21*x**4 + 0. Factor m(r). 2*(r + 2)**2/7 Let q(j) be the third derivative of -7*j**6/400 - 817*j**5/600 + 13*j**4/40 - 3471*j**2. Factor q(n). -n*(n + 39)*(21*n - 2)/10 Let a(b) be the second derivative of b**9/22680 - b**8/6300 - 139*b**3/6 + 115*b. Let i(r) be the second derivative of a(r). Factor i(x). 2*x**4*(x - 2)/15 Suppose 0 = 4*k + 2*k - 72. Suppose k + 7 = q. What is c in 25*c**4 + 3*c**2 - 43*c**4 + 3*c**3 + c + q*c**4 = 0? -1, 0 Let m = -17572 + 17575. Solve 0 + 0*f + 2/5*f**4 + 2*f**m + 8/5*f**2 = 0 for f. -4, -1, 0 Suppose -4*u + 107 + 105 = 0. Factor u*j**3 - 101*j**3 + 51*j**3 + 21*j**4 - 42*j**4 + 36*j**5. 3*j**3*(3*j - 1)*(4*j - 1) Suppose -3*g + 5*h = 1191 - 15956, 0 = 5*g - h - 24645. Let g*q - 4876*q + 56*q**2 + 0*q**3 + 2*q**3 = 0. Calculate q. -27, -1, 0 Let i(a) = -3*a**2 + 986*a + 1077. Let z(y) = y**2 - 329*y - 363. Let n(f) = -3*i(f) - 8*z(f). Solve n(s) = 0. -1, 327 Let c(u) be the third derivative of -u**5/240 + u**4/96 + u**3/4 - 222*u**2. Solve c(k) = 0 for k. -2, 3 Let d(j) = 379*j**2 + 1150*j + 41. Let z be d(-3). Find s, given that -40/17 - 4/17*s**3 - 8/17*s - 2/17*s**4 + 30/17*s**z = 0. -5, -1, 2 Determine s so that 610/3*s**2 + 0 - 2/3*s**4 + 608/3*s**3 + 0*s = 0. -1, 0, 305 Let s = -238 - -242. Let x be ((-5)/(-25))/(s/30)*2. Let -2/7*j**4 + 2/7 - 4/7*j + 4/7*j**x + 0*j**2 = 0. What is j? -1, 1 Determine c, given that -137288 - 1/2*c**2 + 524*c = 0. 524 Let y = -322 + 326. Suppose 89*h**3 - 4*h**5 - 32*h - 42*h**3 - 23*h**3 - y*h**4 + 16*h**2 = 0. What is h? -2, 0, 1, 2 Let w = 1/7 + 0. Let q(v) be the second derivative of 5*v + 0 + 1/14*v**3 + 6/7*v**2 - w*v**4 - 3/140*v**5. Factor q(a). -3*(a - 1)*(a + 1)*(a + 4)/7 Let h be 51/(-15) - -3 - (-514)/10. Let p = 176 - h. Let 4*m**2 + 7*m - p + m + 125 = 0. What is m? -2, 0 Let a(v) = -4*v - 1. Let z(h) = 28*h**2 - 844*h + 756. Let x(u) = 12*a(u) - z(u). Determine n, given that x(n) = 0. 1, 192/7 Factor 23*n**2 - 586*n**2 + 33*n**2 - 53*n**2 + 25*n**3 + 340 - 252*n**2 - 520*n. 5*(n - 34)*(n + 1)*(5*n - 2) Let q(n) be the third derivative of 0 - 6*n + 37/630*n**7 + 12*n**5 - 24*n**4 - 2*n**2 - 1/1008*n**8 - 13/10*n**6 + 0*n**3. Suppose q(x) = 0. What is x? 0, 1, 12 Factor 0 - 254/11*l + 2/11*l**2. 2*l*(l - 127)/11 Let t = 270633 - 270630. Let 0 + 1/2*p - 1/2*p**t + 1/6*p**2 - 1/6*p**4 = 0. What is p? -3, -1, 0, 1 Let w = -23311 - -23311. Let t(v) be the third derivative of 1/14*v**4 + 1/420*v**6 + 0*v**3 + w - 1/42*v**5 + 2*v - 12*v**2. Factor t(b). 2*b*(b - 3)*(b - 2)/7 Let s be 80421/108 - (-27)/108. Let u = s - 744. Solve -2/3 - 2/9*w**2 + u*w = 0. 1, 3 Let d(w) be the second derivative of -w**6/10 - 39*w**5/20 - 53*w**4/4 - 83*w**3/2 - 63*w**2 - 119*w - 5. Determine f so that d(f) = 0. -7, -3, -2, -1 Let s(x) be the third derivative of 11*x**6/30 - 262*x**5/15 - 8*x**4 - 5485*x**2. Factor s(o). 4*o*(o - 24)*(11*o + 2) Let u be (1/(-6) + (-2)/(-3))/(7007/19404). Let f(k) be the first derivative of 2/39*k**3 - 8/13*k**2 - u*k + 19. Factor f(n). 2*(n - 9)*(n + 1)/13 Let l(h) be the first derivative of 4*h**3 - 5*h**3 + 51*h + 20 + 20*h**2 + 4*h**2 + 54. Factor l(i). -3*(i - 17)*(i + 1) Let w = -474565/33 - -158467/11. Factor -22/3*j**2 - 24 - 1/3*j**3 - w*j. -(j + 2)**2*(j + 18)/3 Let a(t) be the third derivative of 81*t**6/40 + 531*t**5/20 - 31*t**4 + 14*t**3 - 66*t**2 + 1. Solve a(v) = 0. -7, 2/9 Let w = -9 - -3. Let f(s) = s**2 + 45*s - 291. Let k(h) = h**2 - h - 1. Let t be 8 + (4 - (5 - 0)) - 5. Let z(n) = t*f(n) + w*k(n). Solve z(i) = 0. 12 Let b be 3 + 11 + -5 + 1. Let r be (-2)/b*65/(-52). Factor 0*t + 0 - 1/4*t**4 + 1/4*t**2 + r*t**3 - 1/4*t**5. -t**2*(t - 1)*(t + 1)**2/4 Let k = -11 + 12. Solve -5*b**3 - 1 + 0*b**2 - 10826*b - b**4 - 9*b**2 + 10819*b - k = 0 for b. -2, -1 Suppose 10*f - 4*p - 20 = 0, 0 = 15*f - 10*f + 3*p - 35. Let n(l) be the first derivative of -10*l - l**5 - 5/2*l**2 + 5*l**3 - 11 + 5/4*l**f. Factor n(x). -5*(x - 2)*(x - 1)*(x + 1)**2 Let d = 2 + 1. Let x = 463 + -457. Factor 5*l - 21*l - 5*l**2 - l**3 + 6*l + x*l**d. 5*l*(l - 2)*(l + 1) Suppose 0 = -10*t + 8*t + 6. Suppose b + 8 = t*b. Factor -5*h**5 - 30*h**b - 57*h**2 - 5*h**3 + 17*h**2 - 6*h**3 - 49*h**3. -5*h**2*(h + 2)**3 What is p in 8*p**2 - 38/3*p**3 + 1/3*p**5 + 2*p**4 - 10 + 37/3*p = 0? -10, -1, 1, 3 Find d, given that 0 - 30*d + 145/2*d**2 + 10*d**4 - 215/4*d**3 + 5/4*d**5 = 0. -12, 0, 1, 2 Let g(u) be the second derivative of -u**4/6 + 34*u**3 - 2601*u**2 + 45*u + 4. Let g(r) = 0. Calculate r. 51 Let k(v) = 4*v**4 + 24472*v**3 + 12*v**2 + 12. Let u(o) = -2*o**4 - 9789*o**3 - 5*o**2 - 5. Let t(j) = -5*k(j) - 12*u(j). Factor t(s). 4*s**3*(s - 1223) Let c(u) = -15*u**2 + 813*u + 820. Let q(x) = 335*x**2 - 17885*x - 18040. Let o(y) = 45*c(y) + 2*q(y). Solve o(g) = 0. -1, 164 Let k(t) = -12*t**2 - 6*t. Suppose -5*n - 4*c + 2 = 0, -n - n - 10 = -2*c. Let p(h) = 3*h**2 + h. Let d(b) = n*k(b) - 9*p(b). Factor d(i). -3*i*(i - 1) Let y = 25301 - 25297. Let p(x) be the first derivative of -2/3*x**2 - 5/12*x**y + 26 - 4/3*x + 13/9*x**3. Factor p(i). -(i - 2)*(i - 1)*(5*i + 2)/3 Let r = -79 - -110. Suppose 0 = -3*n + 17 + r. Find f such that 12*f**2 + 10 - n*f - 26 - 14*f**4 + 8*f**3 + 10*f**4 = 0. -1, 2 Let r be -9 - 133/(-14) - 10/4. Let q(j) = -j**3 - 4*j**2 - 3*j + 4. Let n be q(r). Solve 0*d**n - 8/5*d + 2/5*d**3 + 0 = 0. -2, 0, 2 Let p be (2392/(-192) - -12)*(-6)/33. Let r(w) be the second derivative of 1/8*w**4 + 0 + 24*w + 7/160*w**5 + 0*w**2 - p*w**3. Factor r(k). k*(k + 2)*(7*k - 2)/8 Let q be (6/4)/(25 - 3132/135). Factor -q*r - 7/3 + 1/6*r**2. (r - 7)*(r + 2)/6 Suppose 4*m - 3*i - 1 - 17 = 0, 0 = 3*m + 4*i - 1. Suppose f = 5*p - m*p - 16, 5*p - 4*f = 43. Factor 5 - 5 + 12*q**2 - p*q**2. 5*q**2 Suppose 51 = 6*a + 39. Factor 28*m**4 - 10*m**3 + 6*m**a + 0*m**5 + 29*m**4 - 55*m**4 + 2*m**5. 2*m**2*(m - 1)**2*(m + 3) Let s be 708/84*-1 + 9 + -1 + -1 + 2. Solve 2/7*n**2 + s*n - 6/7 = 0 for n. -3, 1 Let g(w) be the second derivative of -w**7/126 - w**6/10 - 23*w**5/60 - 7*w**4/36 + 4*w**3/3 + 8*w**2/3 - 249*w. Suppose g(o) = 0. Calculate o. -4, -1, 1 Let s(p) be the second derivative of 4*p**4/21 - 13618*p**3/21 + 3404*p**2/7 - 5301*p. Find l, given that s(l) = 0. 1/4, 1702 Let s(v) be the first derivative of 841*v**4/7 + 6844*v**3/21 + 233*v**2/14 + 2*v/7 + 1247. Factor s(u). (u + 2)*(58*u + 1)**2/7 Let g(w) be the first derivative of w**4/12 + 595*w**3/9 + 29601*w**2/2 + 29403*w + 2064. Factor g(q). (q +
{ "pile_set_name": "DM Mathematics" }
+ 6*a*p**2 - 8*a*r**2 + 2*p**2*r wrt r. -20*a*p**2 - 16*a What is the first derivative of 6159*k - 6305? 6159 Find the second derivative of 787*y**3 + 145*y + 2 wrt y. 4722*y What is the second derivative of 4*l**3 + 648*l**2 + 14765*l? 24*l + 1296 Differentiate -45*r*u**3 + 50*r - 7*u**3 + 61*u**2 - 2*u wrt r. -45*u**3 + 50 Find the third derivative of 2211*p**3 + 268*p**2 wrt p. 13266 What is the second derivative of -5*j**2*l**2 + 2*j**2*l*w - 63*j**2*l + j*l**2*w + 2*l**2*w wrt l? -10*j**2 + 2*j*w + 4*w Find the third derivative of -317*n**4 + 74*n**2. -7608*n What is the second derivative of -4699*d**2 - 2034*d? -9398 Find the third derivative of 10*m**3*q**2*r**3 - m**3*q**2 - 2*m**3*r - 4*m**2*q**2*r**3 - 4*m*r**2 + 3*q wrt r. 60*m**3*q**2 - 24*m**2*q**2 What is the third derivative of -9793*m**6 - 18229*m**2? -1175160*m**3 What is the second derivative of 6*o**2*w**4 + 268*o**2*w**3 + 6*o**2*w + 2*o*w + 15*o wrt w? 72*o**2*w**2 + 1608*o**2*w Find the third derivative of -118*q**5 - 15*q**4 + 2*q**3 + 531*q**2 - 5*q + 1 wrt q. -7080*q**2 - 360*q + 12 What is the first derivative of 12*g**2*k + 169*g**2 + 12*k**2 wrt k? 12*g**2 + 24*k Find the second derivative of p**3 - 1706*p**2 - 1901*p. 6*p - 3412 Differentiate -13697*w*y**2 + 3077*y**2 + y wrt w. -13697*y**2 Find the third derivative of 591*x**3 - 292*x**2. 3546 What is the third derivative of -2*z**5 - 66*z**3 + 230*z**2 wrt z? -120*z**2 - 396 What is the third derivative of -219*y**3 - 35*y**2 + y wrt y? -1314 What is the derivative of -86*b*j + 3399*b + 74*j wrt j? -86*b + 74 Find the first derivative of 174*i*k**2 - 17*i + k**2 + 3*k - 222 wrt i. 174*k**2 - 17 Find the second derivative of 475*b**2*w + 479*b*w + b wrt b. 950*w What is the first derivative of -179*u**4 - 202? -716*u**3 What is the third derivative of -906*s**5 - 11*s**2 - 21 wrt s? -54360*s**2 What is the derivative of -138*f**2*k*n**2 + 18*f**2*k - 171*k - 13*n**2 wrt f? -276*f*k*n**2 + 36*f*k Find the second derivative of -2033*y**2 - 4*y - 86. -4066 What is the first derivative of -1266*x**2 - x - 1691? -2532*x - 1 What is the third derivative of -333*k**6*r**2 + 6*k**2*r + 6*k**2 + 2*k*r**2 wrt k? -39960*k**3*r**2 What is the derivative of 12*d*p**3 - 5*d + 157*p**3 wrt d? 12*p**3 - 5 What is the third derivative of -b**2*w**4 - 3*b**2*w**2 - 3*b**2 - 4897*b*w**5 - 398*w**2 wrt w? -24*b**2*w - 293820*b*w**2 Find the third derivative of 2*z**6 + 75*z**4 - 21*z**2 - 7 wrt z. 240*z**3 + 1800*z Find the second derivative of -501*m**5 + 13*m + 10. -10020*m**3 Find the first derivative of 11*b*u**2 + 1745*b + 27*u**2 + u wrt u. 22*b*u + 54*u + 1 What is the second derivative of 3*d**5 - 2*d**3 + 287*d**2 + 5566*d? 60*d**3 - 12*d + 574 Find the first derivative of -35*g**2*h**2 + 2*g**2*h - g*h**3 - 166*h**3 wrt g. -70*g*h**2 + 4*g*h - h**3 Find the third derivative of -3839*w**3 - 3480*w**2. -23034 Find the second derivative of -i**5 - 119*i**4 + 279*i. -20*i**3 - 1428*i**2 Find the first derivative of -92*t + 145. -92 What is the second derivative of -740*o**5 + 322*o? -14800*o**3 What is the first derivative of -1793*a**3*p*q - 111*a**3*q - 6*a**2*q wrt p? -1793*a**3*q What is the second derivative of -13*b**2*w**2 - 2*b**2*w + 28*b**2 - 5*w**2 wrt w? -26*b**2 - 10 What is the second derivative of -541*m**4 - 661*m? -6492*m**2 Find the second derivative of -14*p**5 - 58*p**4*z**3 + 6*p*z**3 + 498*p*z wrt p. -280*p**3 - 696*p**2*z**3 What is the second derivative of 1514*f**5 + 2488*f wrt f? 30280*f**3 Differentiate 434*c**2 - 173 with respect to c. 868*c What is the first derivative of 24*m**4*t**2 + m**2 + 23*m*t**2 + 6416*t**2 wrt m? 96*m**3*t**2 + 2*m + 23*t**2 Find the first derivative of 616*f**4 - 310. 2464*f**3 Find the second derivative of 2*j**3 + 153*j**2 - 8*j + 6. 12*j + 306 What is the third derivative of 2*u**6 - 58*u**5 + 113*u**2 + u? 240*u**3 - 3480*u**2 What is the third derivative of 538*r**3*y**5 - 1006*r**3*y - r**2*y**2 + y**6 wrt y? 32280*r**3*y**2 + 120*y**3 Differentiate -430*c**2*z - 54*c**2 - 1 wrt z. -430*c**2 What is the third derivative of 2*m**4 - 24*m**3*p - 19*m**2*p - 2*m**2 wrt m? 48*m - 144*p Find the third derivative of -2460*w**5 + 2242*w**2 wrt w. -147600*w**2 Find the second derivative of -695*l**5 + 244*l - 2 wrt l. -13900*l**3 What is the derivative of 37*j**4 - 2*j + 258? 148*j**3 - 2 What is the third derivative of -4523*x**3 - 110*x**2 - 3*x? -27138 What is the second derivative of -214*s**2 - s - 38 wrt s? -428 What is the second derivative of -4*l**3 + 106*l**2 - 3410*l wrt l? -24*l + 212 Find the third derivative of 11544*j*t**3 + 13*j*t**2 - 289*j wrt t. 69264*j What is the second derivative of -2*n**4 - 3688*n**3 - 5302*n? -24*n**2 - 22128*n Find the second derivative of -3790*i*o**2*v**3 + 2*i*o**2*v**2 - 35*i*o*v**2 - i*v + o*v**3 + 6*v wrt o. -7580*i*v**3 + 4*i*v**2 What is the third derivative of 401*b**6 - 294*b**2 wrt b? 48120*b**3 What is the third derivative of -10*d**5*o**3 - 13*d**3*o**3 + 5741*d**2*o**3 + 2*d**2 wrt d? -600*d**2*o**3 - 78*o**3 Find the first derivative of -45*m**3 + 2*m**2 - 571 wrt m. -135*m**2 + 4*m What is the third derivative of 2*f**3*m**3*z**3 + 2*f**3*m**2*z**3 + 2*f**3*m**2*z - 3*f**3 + 3*m**3*z**3 - 62*m**3*z - 5*z**3 wrt m? 12*f**3*z**3 + 18*z**3 - 372*z What is the first derivative of 1190*l**4 + 1104 wrt l? 4760*l**3 What is the third derivative of 2*l**3*y**5 - 2*l**3*y**3 + 2*l**3 - 5*l*y**2 wrt y? 120*l**3*y**2 - 12*l**3 Differentiate 2*o**3*p + o**3 - 5*o*p + 2*p + 172 with respect to o. 6*o**2*p + 3*o**2 - 5*p What is the third derivative of -1048*p**6 + 6*p**2 + 144*p? -125760*p**3 What is the second derivative of 2*d*k**2 - 2*d*k + 39*k**2 - 10*k wrt k? 4*d + 78 Differentiate 754*c**3 - 614 wrt c. 2262*c**2 Differentiate 8*m**3*s - m**2*s**2*u**2 + 4*m + 21*s**2 - 9*s*u**2 with respect to m. 24*m**2*s - 2*m*s**2*u**2 + 4 Differentiate 3753*p**3 + 5*p + 5058 wrt p. 11259*p**2 + 5 What is the second derivative of 4200*q**2 - 1545*q - 1? 8400 What is the second derivative of -1103*p**2 - 2*p - 382? -2206 What is the second derivative of f*j**3*s**2 + 3*f*j**3 + 130*f*j**2*s**2 - 26*f*j**2*s + 18*f wrt s? 2*f*j**3 + 260*f*j**2 What is the third derivative of -408*g**4 + 551*g**2 wrt g? -9792*g Find the first derivative of -192*j*s**2 + 3*j*s - j - 284 wrt s. -384*j*s + 3*j What is the derivative of -2290*l - 2131? -2290 Find the first derivative of -31*a*g**3 + a*g**2 - 2*a*p - 3*a - g**2*p + g + 12*p + 4 wrt g. -93*a*g**2 + 2*a*g - 2*g*p + 1 Find the first derivative of j*q**2 + 150*j*q - 8*q**2 + 4 wrt j. q**2 + 150*q Differentiate 3627*y**4 + 188 wrt y. 14508*y**3 Find the third derivative of 162*t**6 - 3*t**3*x**3 - 49*t**2*x**3 - 4*t**2*x**2 + 2*t*x**3 wrt t. 19440*t**3 - 18*x**3 What is the second derivative of -19*o**2*w**2 - 18*o**2*w - 2*o**2 + o*w**2 - o*w - 1554 wrt o? -38*w**2 - 36*w - 4 What is the third derivative of -2*l**2*y**4 + 12*l**2*y**3 - 7*l**2*y**2 - 20*y**2 wrt y? -48*l**2*y + 72*l**2 Find the third derivative of -115*m**5*o - 3*m**5 - m**2*o + 2*m**2 + 4*m*o + 324*m wrt m. -6900*m**2*o - 180*m**2 Find the second derivative of 2*d*l**2 - 38*d*l + 8*d - 120*l**4 - l**3 wrt l. 4*d - 1440*l**2 - 6*l What is the third derivative of -16*a**3*x**2 + 2*a**2*x**2 - a**2*x + 2*x**2 wrt a? -96*x**2 Differentiate -42*j*l**2 + 2099*j - 89*l**2 - 4 with respect to l. -84*j*l - 178*l Find the second derivative of 1190*h**2 - 297*h + 10. 2380 Differentiate -14092*s**3 + 17871 wrt s. -42276*s**2 What is the first derivative of -4*a*g**3*x - 1054*a*g**3 - 9*a*g*x + 3*a*g - 2*a*x wrt x? -4*a*g**3 - 9*a*g - 2*a What is the third derivative of -128*b**6 - b**4 - 180*b**2? -15360*b**3 - 24*b What is the derivative of -78*z + 121? -78 What is the third derivative of 239*l**6 - 545*l**2 wrt l? 28680*l**3 What is the second derivative of -61*b**2*i*p**2*y**3 + 5*b**2*i*p - 3*b*i*p*y**3 - b*p - 2*i*p*y - 2*p**2*y wrt b? -122*i*p**2*y**3 + 10*i*p What is the derivative of 60*o**3*w + 5544*o**3 + 2*o*w + o + 2*w wrt w? 60*o**3 + 2*o + 2 Find the third derivative of -448*k**2*s**5 + 595*k**2*s + 2*k*s**3 + 2*k*s**2 wrt s. -26880*k**2*s**2 + 12*k Find the third derivative of j**3*s**6 + 42*j**3*s**3 + 3*j**3*s - 14*s**2
{ "pile_set_name": "DM Mathematics" }
*b**4 - 2*b**4. -14*b**4 Expand (-2 + 2 - 2*g)*(-2*g + g + 3*g) - g - 2*g**2 + g + 3*g**2 + 2*g**2 - 4*g**2. -5*g**2 Expand (0 + v + 0)*(4*v + 3*v - 5*v) + (-1 + 2 + 0)*(-1 - 3*v**2 + 10*v**2 - 6*v**2). 3*v**2 - 1 Expand (8 - 3*f**3 - 8 + (-3 + 3 - f)*(-f**2 + f - f))*(-6*f + f - 3*f). 16*f**4 Expand (-21*i + 25*i - 36*i)*(2*i**2 - 2 + 0*i + 0*i). -64*i**3 + 64*i Expand (-j + 6*j - 4*j + j + 1 - 1 - j - 2*j + j + (-3*j + j + j)*(-2 - 1 + 2) + 3 - 3 + 2*j + 5 - 5 + 2*j - 5*j + 2*j + j + j - 2 + 2)*(j**2 - j**2 + 2*j**2). 8*j**3 Expand 5*b - 2*b**4 - 5*b + (2 + 8*b**3 - 2)*(-3*b + b + 0*b). -18*b**4 Expand (-q - 3*q + 6*q)*(1 + 2 - 1) + 1 - 1 - 2*q - q - 3*q + 3*q - 2*q - 11*q + 7*q. -5*q Expand 2 + m**3 - 2 - 3*m - 5*m**3 + m**3 + m**3 + (-m - m**2 + m)*(4*m + 2*m - 4*m). -4*m**3 - 3*m Expand ((-6 + 8 + 5)*(0*s - 3*s + 2*s) - 2*s + 4*s - 4*s)*(5*s + 1 - 1)*(s**2 - 3 + 3). -45*s**4 Expand (0*x**4 - x**4 - x**4)*(0*x - x + 2*x) + (0*x**3 + x**3 + 0*x**3)*(-x**2 + 10*x**2 + 15*x**2). 22*x**5 Expand ((3*w + 0*w - 5*w)*(2 - 4 - 3) + (2*w - 4*w + 0*w)*(0 + 1 + 1))*(-3*w + 2*w + 2*w). 6*w**2 Expand (5 - 4 - 3)*(7*r + 2*r - 4*r + 0*r - 2*r + 0*r + r - 2*r + 2*r + (-2 + 0 + 0)*(-r + 3*r - 3*r)). -12*r Expand -2*x**5 - 2*x**3 + 2*x**3 - x**5 - 3*x**5 + x**5 + (1 - 1 - x**2)*(-x**3 - x**3 + x**3) + 4*x**5 - 2*x**5 - x**5 + 0*x**5 - x**5 - x**5. -5*x**5 Expand (-9*a**3 - 227*a**2 + 227*a**2)*(0 - 5 + 1 + 1). 27*a**3 Expand (-4*m**2 + 2*m**2 + 4*m**2)*(10 - 10 - m) - m**3 + 3*m**3 - 3*m**3. -3*m**3 Expand (0 + 3 - 4)*(m + 3*m - m) + (4 - 6 + 4)*(7*m - 2*m - 3*m). m Expand (0*x - x**3 + 0*x)*(4 - 1 - 1) + (-2 + 2 - 3*x**2)*(0*x + 2*x + 0*x). -8*x**3 Expand -j**3 + 6*j**3 - 3*j**3 + (-5*j**2 + 6*j**2 + 3*j**2)*(0*j + 0*j + 3*j). 14*j**3 Expand (1 + 7 - 1)*(2 + 2 - 3)*(5 + 2*i - 5). 14*i Expand (-6 - 5 + 14)*(-1 + 1 - 1)*(1 - 1 + u). -3*u Expand (-1 + 1 - 2*m**2)*(-2*m**2 - 3*m**2 + 3*m**2 + (m + 0 + 0)*(-m + 0*m + 0*m)). 6*m**4 Expand (-5 - 5 + 5)*(0*v + 4*v - v). -15*v Expand (3 - 3 - 4)*(4 - 4 + 3)*(f**3 - 2*f**3 - f**3). 24*f**3 Expand (-68*s - 47*s + 68*s)*(5*s - 5*s - s). 47*s**2 Expand (27 + j - 4 + 1)*(-6*j - j + 4*j). -3*j**2 - 72*j Expand (-4*r + 6*r + 0*r)*(2 + 4 - 1)*(r + 0*r + 0*r). 10*r**2 Expand (-1 + i + 1 + (-i + 6*i - 3*i)*(3 + 2 - 6))*(0 + 0 - 1)*(0 + 4 + 4). 8*i Expand 3*i**3 + i**5 - 7*i**3 + 2*i**3 + (-7*i + i + i)*(0 + 0 + 3*i**4). -14*i**5 - 2*i**3 Expand t**4 - 4*t**4 + 7*t**4 - 5*t**3 + t**4 + 5*t**3 + (-t**3 + t - t)*(t + t - 3*t) - 3*t**4 + 2*t**4 + 3*t**4. 8*t**4 Expand (-v**2 + 0*v**2 - v**2)*(2*v**3 + 4*v - 4*v) + (-3 - 2*v + 3)*(-3*v**4 + 5*v**4 + v**4). -10*v**5 Expand -3*j**4 - j**4 + 2*j**4 + (-2*j + 3 - 3)*(-2*j**3 + 3*j**3 + j**3) + 2*j**4 - 3*j**3 - j**3 - j**4. -5*j**4 - 4*j**3 Expand (8 + 3 - 26)*(0*p + 3*p - 2*p + (-p + 2*p - 3*p)*(0 + 2 - 3)). -45*p Expand -d**5 + 0*d**5 - 2*d**5 + (7*d**2 - 5*d**2 + 2*d**2)*(2*d**3 - 8 + 8) + (-2*d**3 + 0*d**3 + 3*d**3)*(-2*d**2 + 0*d**2 + 3*d**2). 6*d**5 Expand (0*x**2 - x**2 + 3*x**2)*(-x + 0 + 0 + (3*x - 5*x + 4*x)*(0 - 2 + 4) + 2*x + x + 5*x). 22*x**3 Expand ((w**2 + 2*w**2 - w**2)*(-7*w**3 + 3*w**3 + 3*w**3) - 2*w**5 + 0*w**5 + 0*w**5 + 0*w**5 + 0*w**5 - 2*w**5)*(0 - 3 + 2). 6*w**5 Expand (-2*r - r + 2*r + 2*r + r - r + (-3 + 3 + 2*r)*(0 - 1 + 3) + 0*r - 2*r + r)*(0*r**4 - r**4 + 2*r**4). 4*r**5 Expand (1 + 2 - 4 + (-6 + 0 + 2)*(-1 + 0 + 3) - 3 - 4 + 5)*(0*j - j + 2*j). -11*j Expand (-2*l**2 + 5*l**2 - l**2)*(0 + 0 - l + (0 + 1 + 1)*(-2*l - 4*l + 4*l) - 6*l - 7*l + l). -34*l**3 Expand (-3 + 3 - 2*b**4)*(-8*b + 26*b - 8*b). -20*b**5 Expand (-1 + 0 - 3)*(-2 + 3 + 3)*(3*y + y**3 - 3*y). -16*y**3 Expand (0 + 0 - 2*n)*(-154 + 22*n + 154). -44*n**2 Expand (-1 + 1 - 7*f)*(0 + 0 + 2) + f - f - 2*f. -16*f Expand (-1 + 2 + 2)*(0 + 6 - 4)*(-3*c + 0*c + 4*c)*(-2 + 3 - 2). -6*c Expand (-1 + 3 - 1)*(12 + 3*c - 12)*(-2*c**4 + 0*c**2 + 0*c**2) + (5*c**3 - c**3 - 2*c**3)*(2*c + c**2 - 2*c). -4*c**5 Expand (-2*x - x + x)*(-2*x + 0*x + x)*(x**3 - x**3 + 2*x**3). 4*x**5 Expand (2*d + 0*d - d - d - 2 + 2 + 3*d - d - d + (3 + d - 3)*(1 + 1 + 0) - 3*d - d + 3*d)*(0 - 1 + 3). 4*d Expand (-2*j + 1 - 1)*(-j - j + j) + 34*j**2 + 47*j**2 - 15*j**2 - 2*j**2 + 2*j**2 - 2*j**2. 66*j**2 Expand (-7*t**3 - 24*t**3 - 10*t**3)*(4*t - 4*t - 2*t). 82*t**4 Expand 23 - 3*w**5 + 12*w**5 - 8*w**5 + (-2*w**4 - 4 + 4)*(0*w + w - 2*w). 3*w**5 + 23 Expand (0 + 2 + 1)*(2*l**3 - 4*l**3 + l**3). -3*l**3 Expand (-2 + 1 + 0)*(-2*i + 3 - 3 - 4 - 2*i + 4 + (-4 + 3 + 3)*(-i + i - 3*i) + 2*i - 4*i + i)*(-1 + i**2 + 1). 11*i**3 Expand (-2 + 2 - g**2)*(-2*g + 5*g - g) - 2 - 8*g**3 + 2 - g**3 - 2*g + 2*g - 4*g**2. -11*g**3 - 4*g**2 Expand (-11*c**4 - 2*c**4 + 169*c**3 - 168*c**3 - 2*c**5)*(3 + 0 - 2). -2*c**5 - 13*c**4 + c**3 Expand (2 - 2 - 1 + (-2 - 1 + 2)*(1 - 2 - 5))*(-4*j + 4*j + j). 5*j Expand (-2 + 4 - 3 + (-1 + 1 + 1)*(0 - 1 + 0) + 2 - 4 - 1)*(4*c**4 - c**4 - 2*c**4). -5*c**4 Expand (-u + u - 2*u**2)*(-2*u - 6*u + 10*u). -4*u**3 Expand (1 + 1 + 1)*(-13*i + 13*i + 4*i**3) + 5*i**3 - 5*i + 5*i. 17*i**3 Expand (-22 + 22 + 10*x**2)*(-2*x**3 - 2*x**3 + 2*x**3) + (-4 - 2*x**2 + 4)*(x**3 + 2*x**3 - 5*x**3). -16*x**5 Expand (-3 - 1 + 0)*(-3 + a + 3 + (1 - 3 + 0)*(1 - 2*a - 1) + 2*a + a - 5*a). -12*a Expand (3*k**2 + 0*k**2 + k**2)*(4 - k - 4 + 2 - 2 + 2*k - 2*k + 0 + 0 + (2*k - 4 + 4)*(0 - 4 + 6) + 2*k + 0*k + 0*k + 5*k + 0*k + k). 44*k**3 Expand (-3*l + 4*l - 2*l)*((-3*l**2 - 3*l**2 + 5*l**2)*(-4 + 3 + 2) - 5*l**2 + 3*l**2 + 0*l**2). 3*l**3 Expand (0*q + 3*q - 2*q)*(0 + 10 + 6). 16*q Expand (d**4 - 4*d**4 - d**4)*(-2*d + 4*d - 4*d) + (-6 + 3 - 1)*(-5*d**5 + 4*d**5 - d**5). 16*d**5 Expand (23*w**4 - 23*w**4 + 18*w**5)*(2 + 0 + 0). 36*w**5 Expand (-4*q + q + 5*q)*(-6*q + 4*q + q)*(q**2 - 4*q + 4*q). -2*q**4 Expand -5*u**2 + u**2 + 0*u**2 + (-6*u + 4*u + u)*(-3*u - 2*u + 6*u). -5*u**2 Expand (b + 1 - 1)*(b - b + 13*b). 13*b**2 Expand (-1 + 1 - 1)*(d**2 - d**2 - 2*d**3) + 3*d**2 - d**3 - 3*d**2 + 9*d**2 - 3*d**3 - 9*d**2. -2*d**3 Expand -2 - 2*j**2 + 2 + (-2*j + 7*j - j)*(-2*j - 2*j + 3*j). -6*j**2 Expand (-j**2 - 3*j**2 + 3*j**2)*(-4*j + 3*j + 0*j) + 5 - 5 + j**3 + 0*j**3 - j**3 + 2*j**3 + (-3 + 3 - 2)*(0*j**3 - 5*j**3 + 4*j**3). 5*j**3 Expand (-8 + 20*m + 8)*(-1 - 2*m**2 + 1)*(5*m - 5*m - m). 40*m**4 Expand -d + d - d + (2 - 1 + 2)*(-5 - d + 5). -4*d Expand -1 - 5*t + 1 + t + t - t - 4*t + t + 2*t + 0*t - 4*t + 2*t + (2 + 3 - 3)*(1 - 2*t - 1) - t + 6*t - 4*t + 3*t + 0*t - t + 3*t - 3*t + 3*t. -5*t Expand (-3 + 3 + 2*s)*(5*s**2 - 2*s**2 - 4*s**2) + 3*s**2 - s**3 - 3*s**2 - 2*s**3 + 5*s**3 - s**3 + s**3 - 4*s**3 - 11*s**3. -15*s**3 Expand (5*m**4 - 2*m**4 - m**4)*(-2 + 1 + 2) + 5*m**4 - 7*m + 7*m. 7*m**4 Expand (4 - 4 - 2)*(6*z - 4*z - 3*z + (-2 - 4 + 2)*(z + 3*z - 3*z))*(0*z**4 - 3*z**4 + z**4). -20*z**5 Expand 12*a**4 - 3*a**3 + 3*a**3 + (-2*a**3 - a**3 + 4*a**3)*(a - 4*a + 2*a). 11*a**4 Expand -2*m**3 + 4*m**3 + 2*m - 4*m**3 + (2*m**2 + 0*m**2 - m**2)*(-m + 3*m - m). -m**3 + 2*m Expand (u**2 - u**2 + 2*u**2)*((-3*u + 2 - 2)*(-2 + 2 - 7*u) + 3*u**2 + 2*u**2 - 6*u**2). 40*u**4 Expand (-3 + 2 - 3)*(-2*a - 2*a - a)*(2*a - 3*a + 3*a). 40*a**2 Expand w**5 + w**5 + w**5 + (4 - 4 + 3*w)*(w - 4 + 4)*(-2*w**3 - 2 + 2). -3*w**5 Expand (-4*r**3 - 3*r**3 + 5*r**3)*(-2 + 2 + 1)*(-25 - 22*r**2 + 25)*(4 - 1 - 5). -88*r**5 Expand -2*m**2 + 0*m**2 + m**2 - 5*m**2 + m**2 + 2*m**2 + (m + 1 - 1)*(-4 + 4 - m) - 3*m**2 - m**2 + 2*m**2 - 3*m**2 - 6 + 6. -9*m**2 Expand ((-1 + 1 + 2)*(-1 - 2 + 4) - 2 + 4 - 1 - 2 + 0 - 1 - 2 - 4 + 4)*(1 - 2*o - 1)*(1 - 4*o - 1). -16*o**2 Expand (3*c - 1 + 2*c - c)*(7*c**2 - 3*c**2 - 2*c**2) + c - c + 2*c**3. 10*c**3 - 2*c**2 Expand -5*x**3 + 39 - 39 + (x - 4*x + 2*x)*(-4*x**2 + x**2 + 4*x**2). -6*x**3 Expand (2*f**4 + 4*f + 142 - 142)*(1 + 7 + 1). 18*f**4 + 36*f Expand (-3 - 1 + 2)*(-z + 3*z - 4*z)*(-4 - 3*z + 3 - 4*z). -28*z**2 - 4*z Expand (p**4 - 2*p**3 + 2*p**3)*(-14 + 5 - 4) + (-2*p**3 - 2*p**3 + 2*p**3)*(-2*p + 2 - 2). -9*p**4 Expand 5*o - 2*o - o + ((-2 - 3 + 6)*(0 + 0 - o) + 7*o + 24 - 24)*(2 + 1 - 2). 8*o Expand 0*l**5 + l**5 + 2*l**5 + (3*l**4 - 2*l**4 - 2*l**4)*(1 + 4*l - 1). -l**5 Expand (4 + 4*o - 4)*(-4 - 4 + 5) + o - o + o + (4 - 4 + 2)*(o + 3*o - 2*o). -7*o Expand (4*t - 4*t - t**2)*(10*t**2 - 5 - 7*t**2 + 2)
{ "pile_set_name": "DM Mathematics" }
= -5*z - 0*z. Let q be (1 + (-44)/12)*x/28. Do q and -1 have different values? True Suppose -2*d = -g + 646 - 27, -d - 307 = -g. Let b = -7146/23 - d. Let f = b + -316/207. Which is greater: -4 or f? f Let w be 159/5*(-325)/(-195). Which is greater: w or 51? w Suppose 0*n + 225 = -3*n. Let y be (-35)/(-21)*2/n. Which is bigger: y or 0.4? 0.4 Let g = -259693/107 - -2427. Is g smaller than -1? False Suppose 0 = 2*x - 5*x - 9. Let v be (27/(-36))/(9/(-7166)). Let u = 594 - v. Which is smaller: u or x? u Suppose 2*h - 6 + 16 = c, 2*c - 60 = -4*h. Suppose 2*f - 1836 = 5*a - 0*a, f + 4*a - 918 = 0. Let z be (-2)/16 + f/48. Which is smaller: z or c? z Let l(v) be the second derivative of -v**4/12 - v**3 - 5*v**2/2 + 3*v. Let q = 29 + -33. Let g be l(q). Which is greater: 1 or g? g Suppose 4*w + 5 = 17. Let t be 0/2 + w + -3. Let n(q) = 12*q - 60. Let l be n(5). Do l and t have the same value? True Let a = -1223 + 1208. Do a and -7 have different values? True Let l = 639 - 633. Which is greater: 90/13 or l? 90/13 Let w(p) = -p**2 - 2*p + 1. Let o(y) = -y**3 - y**2 - y - 3. Let c be o(0). Let b be w(c). Is -3 > b? False Suppose -3*i - 5615 = -5*l, -2*i + 4*i - 2*l + 3750 = 0. Let w = i - -47018/25. Is 1 greater than or equal to w? True Let t = 244 + -244. Which is greater: t or -6/97? t Suppose -22 + 33 = -11*x. Suppose 4 = -2*h, w + h + 4 = -w. Let r be w + 2 + 3 + x. Is r at least as big as 2? True Let r = 4.6 - -13.4. Let g = 18 - r. Which is bigger: -2 or g? g Let m = 4 - 3. Let v be 2/((-2)/1*m). Which is bigger: 4 or v? 4 Suppose 0 = 3*d - 5*o - 59, d - 13 - 4 = o. Suppose d*c - 5*c + 32 = 0. Is -7 > c? False Let y = -11/177 - -1505/29913. Which is smaller: y or 0? y Let m = -305 - -306. Is 3/56 greater than m? False Let b = -292 - -291.9. Is b >= 1/143? False Let x be ((-292)/16)/1*(-28)/(-7). Are x and -72 unequal? True Let z = 1738 + -1739. Does z = 1/866? False Let y be (2 + -18)*(-2)/4. Let k be 166/82 - 3/12*y. Which is smaller: 1 or k? k Suppose -2*u = -2, -3*l - 2*l - 4*u = 71. Let h be (13/(-2))/(l/30). Are h and 12 nonequal? True Suppose -4*a - 2*t + 12 = a, -2*t + 4 = a. Let n be (-646)/21 - (-8)/84. Let p = n - -284/9. Which is bigger: a or p? a Let s be -1 + 1*(-1 - -2). Let u = 77 - 74. Suppose -5*g = 0, u*f + 10 = -2*f + 2*g. Which is bigger: s or f? s Let v be ((-3)/2)/(9/(-48)). Suppose -4*l = 5*g - 108, -3*l + 86 - v = 3*g. Which is greater: 20 or l? l Suppose 4*z - 2 = 2*j, -3*z = 2*j + z - 6. Let g be j/(-10)*(-31 + 17). Let o = -32 - -33. Which is smaller: g or o? o Let y be (3 + (-12)/3 + 0)/1. Let v = 5 - 0. Are v and y nonequal? True Suppose -48 = 4*z - 8*z. Let k(c) = -2*c + 12. Let b be k(5). Suppose z - 4 = -b*v. Which is greater: -2 or v? -2 Suppose -10*c + 12*c - 3*j - 5 = 0, -3*j = c - 25. Which is greater: c or 38? 38 Let o = -14707215334/1859 - -7911359. Let w = o - 3/169. Let v = w - -31/44. Do -1/5 and v have different values? True Let l = -1.97 + -0.03. Let u = -7.9 - -7.9. Let z = u - l. Is z greater than or equal to -1/5? True Let v = 14.27 + -0.27. Let z = -13.8 + v. Is z bigger than -3/17? True Suppose 92 = -10*g + 14*g. Which is bigger: -3 or g? g Suppose -5*u + 25 = -4*c - c, 2*c - u = -9. Suppose -z + 16 = -5. Suppose 2*p + z = -p. Which is greater: c or p? c Suppose 0 = -8*f - 183 - 913. Is -137 less than f? False Suppose -f = 3*n - 86, 2*f + 60 = -0*n + 2*n. Suppose j + 17 = 2*u, -4*u - 3*j + n = -0*u. Which is greater: 9 or u? 9 Let t = 3.27 - 19.27. Which is greater: t or 1/10? 1/10 Let a be (-240)/(-70)*7/1. Let r = a - 17. Is r equal to 7? True Let m(y) = -3*y - 5. Let b = 34 + -29. Suppose b*p - 2*a + a - 12 = 0, -5*p - 5*a + 30 = 0. Let j be m(p). Is -0.1 smaller than j? False Suppose -4*t + 3*d = -2 + 3, 4*t + 3*d - 17 = 0. Suppose -t*y - y = 0. Suppose -h = 3*i - 0 - 6, -3*i = 5*h - 6. Is h < y? False Let j be ((-2)/1)/((-2)/(-11)). Let y(t) = -t - 1. Let x be y(0). Let k be (1 + x)/(j - -12). Is 6/11 less than or equal to k? False Let j = -80 + 163/2. Suppose 18 = 5*r + 3*y - 13, 3*r + 4*y - 23 = 0. Which is smaller: j or r? j Let h = 18 - 12. Let g be 5/(-2*3/h). Let j be 4/g - 4/(-10). Which is bigger: j or 3? 3 Suppose -m - 5*x - 8 = 0, -5*m + 4*x - x - 12 = 0. Let k = 210 + -230.2. Let i = 20 + k. Is i equal to m? False Let h be 92/(-28) + (-36)/(-126). Let k = 0.12 - 0.05. Do k and h have the same value? False Suppose 11*u = 8*u + 15. Suppose -5*l - 10 = j, -25 = u*j - 0*j. Is l bigger than 2/55? False Let y be 1140/133 - 8/14. Let a = 3 - -1. Which is greater: a or y? y Let u be (-32)/48*9/(-6). Which is smaller: u or -3/32? -3/32 Let d be 15*30/(-36) - 6/(-4). Let l be (-90)/8 + (-5)/(-20). Is l at most as big as d? True Let p = 433 + -539. Is -1/3 at least as big as p? True Let n(t) = -2*t**3 + 11*t**2 - t - 19. Let i be n(5). Let c(f) = f**3 + 5*f**2 - 2*f - 3. Let x be c(-4). Let o be ((-1)/x)/(2/(-6)). Which is smaller: i or o? o Let s(g) = -20*g**2 + 8*g + 1. Let b be s(5). Let w be b/972 - 2/(-9). Let q be (-2)/(-5) - (-16)/10. Which is smaller: q or w? w Let p = -327749259139/50074145 + 138/1164515. Let s = p - -6545. Let w = 70/559 + s. Is w less than or equal to 1? True Let c be 0 + 11 - (13 + -2). Is c less than 332? True Let u(s) = 23 + 17*s - 3*s - 15 + 5. Let x be u(-6). Which is smaller: -70 or x? x Suppose 6 = 2*w + v, 2*w + 0*v + 2*v - 6 = 0. Suppose -93 - 36 = w*m. Is -1 > m? True Suppose 0 = 4*p + 2 + 10. Let b be -1 + -2 + (-7)/p. Let v = -962/15 - -64. Which is bigger: v or b? v Let q = -925 - -1070. Does q = 144? False Let s(i) = -i**2 + 10*i + 11. Suppose 3*g - 28 + 4 = 0. Let k be s(g). Suppose -5 = 4*x + k. Is -8 <= x? True Suppose 6217 - 1609 = -6*b. Let r = b - -12293/16. Which is smaller: r or 1/3? r Let t = -103 + 108. Suppose 0 = -t*m - 126 - 214. Which is smaller: -69 or m? -69 Let k = -1187 - -510. Let b = -11512/17 - k. Is b at least as big as 0? False Let q = 107 + -37. Let h = q + -69.9. Is h smaller than 0.39? True Suppose 33 = 2*t + 25. Suppose -5*c - 7 = -2*o, -t*c = o - 0*c + 3. Which is smaller: o or -2? -2 Let r(z) be the second derivative of -z**5/20 + 7*z**4/12 - z**3 + 4*z**2 + 8*z. Let x be r(6). Let a be x/10*(-3)/18. Is -0.1 >= a? True Let s = -8129 + 8173.31. Let z = -44 + s. Let w = z + -0.31. Is w greater than or equal to -2/3? True Let t = 5769 + -5779. Suppose j + 2*p = -2*j + 18, -5*j = -2*p - 30. Let s be j/(-21) - (-61)/(-7). Which is greater: t or s? s Let o = -5 - -12. Let q(r) = -r**3 + 5*r**2 + 10*r - 2. Let i be q(o). Let u be (3/6)/((-35)/i). Does 1 = u? False Suppose 0*q - 40 = -2*q. Suppose 0 = -1287*s + 1271*s + 320. Are q and s non-equal? False Let h = -0.659 + 44.959. Let a = 44 - h. Is a less than or equal to -0.3? True Let l = 863219/9570 - 1/1914. Which is bigger: l or 89? l Let y = -522 + 520. Which is bigger: y or -1/4? -1/4 Let d be 4*(-17)/408 + (-26)/(-588). Is 0 at least as big as d? True Let r be 4/70*-5 + (-172)/(-14). Let s be (-1 + 6/r)*-10. Is 8 bigger than s? True Let s(c) = c - 24. Let a be s(43). Which is smaller: 96/5 or a? a Suppose 0 = -3540*n + 3537*n - 3. Which is smaller: n or 2/617? n Let s = -26 - -26. Suppose s = 6*k - 5*k - 6. Let o = 0.2 - 1.2. Which is smaller: k or o? o Suppose -3*t + 13 = 5*u - 3, -3*t = -u + 14. Suppose -7*y - o - 92 = -2*y, -5*y + u*o - 110 = 0. Let n = y - -34. Which is greater: n or 14? n Suppose 312 = z + 311. Is z greater than 1/217? True Let j(i) = i**2 - 8*i - 20. Let q be j(10). Which is smaller: q or 1/243? q Let m be (-1)/2 - (-21)/(-6). Let z = -13 + m. Let s = -25 - z. Which is greater: -7 or s? -7 Suppose 0*l = l + 3. Let f be (3 + 16/(-3 + -1))*1/1. Which is bigger: f or l? f Let a = 2886212 + -6854753739/2375. Let x = 6/125 + a. Is 1 at least as big as x? True Suppose 0 = -8*b + 3*b - 190. Let t be 1 + 118/b - -2. Which is smaller: 0 or t? t Let h = -17 + 6. Let v = h - -8. Let z be (-3)/(2*3/4). Is z smaller than v? False Let k = 254 - 763/3. Which is smaller: 214 or k? k Let s = 2.2 + -0.7. Let b = 9.5 - s. Let w = b - 6. Is w smaller than -3? False Let w = -7357/26 + 283. Let r = -3 + 2. Is r equal to w? False Let s be (-6)/(-20) + 9 + 651/(-70). Let o be 7/5 + (2 - 3). Do o and s have different values? True Let c be -5 + 3 + (-18100)/(-9045). Do 0 and
{ "pile_set_name": "DM Mathematics" }
+ (-12*x - 10*x + x)*(2 + 2*x - 2). -35*x**2 Expand (-30*k**2 + 28*k**2 + 15*k**2)*(-4 + 50*k + 0 + 4) + k**3 - 4*k**3 + k**3. 648*k**3 Expand ((4 - 4 - 4)*(3*x**4 + 44*x**2 - 44*x**2) + 7*x**2 - 7*x**2 + 2*x**4 - 7*x**3)*(3*x + 0 + 0). -30*x**5 - 21*x**4 Expand (6*h - 4 + 4 + (5 - 5*h - 5)*(-1 - 1 + 3))*(-h + 2*h + 3*h). 4*h**2 Expand (5*a**3 - 6*a**3 - 5*a**3)*(-a + 3*a - 4*a) + 395*a**3 + 2*a**4 - 393*a**3 - 1 - 3*a**2 - 3*a**2. 14*a**4 + 2*a**3 - 6*a**2 - 1 Expand 12*f**4 - 138*f**4 - 52*f**4 + (-4*f + 0*f + 6*f)*(f**3 - f**3 - f**3). -180*f**4 Expand (2*w - 5*w + 4*w)*(0 + 5 - 4 + (-2 - 3 + 4)*(-2 - 2 + 5) - 2 + 4 + 8)*(233*w - 3 + 1 - 231*w). 20*w**2 - 20*w Expand (-2 - 5*j**2 + 2)*(-89 + 41*j**2 + 89) + j**2 - j**2 + 2*j**4. -203*j**4 Expand (0*y - 2*y + 3*y)*(16*y - 22*y + 31*y)*(2 + 0 - 6). -100*y**2 Expand 2*l + 0*l - 4*l + 6 - 6 - 3*l + (1 - 1 + 1)*(2*l - 3*l + 3*l) + (-6*l - l + 2*l)*(6 - 4 - 1). -8*l Expand 6*m**4 - 5*m**4 + 2*m**4 - 4*m**4 - 4*m**2 + 4*m**2 + (-3*m**3 - m + m)*(4*m - 3*m - 3*m). 5*m**4 Expand (-4*u + 7*u - u)*(-5*u + 0*u + 4*u) + 2 - 2 - 2*u**2 - 58187 + 58187 - 131*u**2. -135*u**2 Expand (-8*v + 6*v - 12*v)*(6 + v**3 + v**3 + 119). -28*v**4 - 1750*v Expand -87*n**5 - 7179*n + 7179*n + (n + 2*n**4 - n)*(n - 2*n - n). -91*n**5 Expand (-4*b**3 + 3*b**3 + 9*b**3 + (-5*b**3 + 3*b**3 - b**3)*(-2 + 2 + 1))*(3*b + b + b). 25*b**4 Expand (-4 + 4 - 2 + 0 + 2 - 1 + (-1 + 4 - 5)*(2 - 5 + 1) + 1 - 5 + 5 + 7 + 6 - 4)*(-2*b + b + 3*b)*(-17 + 17 + 6*b). 156*b**2 Expand -5 + 1 + v**4 - 65*v**2 + 64*v**2 + (-2 + 2 + 2*v**2)*(-2*v**2 - 1 + 1). -3*v**4 - v**2 - 4 Expand 2*c**5 + 0*c**5 - 3*c**5 - 2*c**2 + 2*c**2 - c**5 + (0*c + 5*c - 3*c)*(0*c**3 + 0*c**3 + c**4) - c**5 + c**5 + c**5 + 136 - 136 + 44*c**5. 45*c**5 Expand 2*i + 4*i - 3 - 3*i + (-4*i + 4*i + i)*(4 - 13 + 5). -i - 3 Expand (-71 + 218 + 51)*(-1 + 3 - 3)*(-2 - 1 + 1 - 2*v). 396*v + 396 Expand (4 - 3 - 3)*(8*j**2 - 14*j**2 + 8 - j + 5*j**2). 2*j**2 + 2*j - 16 Expand (5*x + 0*x - 3*x)*(-3*x + 3*x - 7*x)*(3*x + 3*x - 4*x). -28*x**3 Expand -3*t**5 - 3*t**5 + 5*t**5 + (3*t**3 - 2*t**3 + 5*t**3)*(0*t**2 + 3*t**2 - 4*t**2) - 1 - t**5 + 1. -8*t**5 Expand (-5 + 0 + 4)*(-3*w**4 + 21*w**4 + 7*w**4) - w**4 + w**4 + 8*w**4. -17*w**4 Expand (-2*x + 4*x + x)*((-x + x + x)*(2 - 1 + 0) + 0*x - x - x). -3*x**2 Expand (l - l - 2*l**2)*(2*l - 2*l**3 - 2*l) + 670 - 185 + 2*l**5 - 2*l**4 + 1265. 6*l**5 - 2*l**4 + 1750 Expand 0*s**3 - 2*s**3 + 3*s**3 + (s + 1 - 1)*(6*s**2 + 76*s**2 - 14*s**2). 69*s**3 Expand (0 - 1 + 0)*(-4*u**5 + 34*u - 38*u + 8*u**3 + 6*u**5). -2*u**5 - 8*u**3 + 4*u Expand -13*y**5 - 49 + 49 + 0*y - y**5 + 0*y + y**5 - 3*y**5 + y**5 + (y**2 - y**2 + y**3)*(0*y**2 + 0*y**2 - y**2) - y**5 + 0*y**5 - 4*y**5. -21*y**5 Expand 4*g**2 - 2*g**2 - 3*g**2 + (2 + 2 - 2)*(-2 + 0 + 0)*(-5*g - 3*g + g)*(4*g - g - 8*g). -141*g**2 Expand (2*v + 5*v - 4*v)*(205*v**3 - 19*v**2 + 147*v**3 + 21*v**2). 1056*v**4 + 6*v**3 Expand (4 - 2 + 0)*(2 - 2 + 2)*((-7 + 4 + 4)*(4 - 2 + 0) + 2 - 4 + 3)*(d - d + 2*d). 24*d Expand (5*x**4 + 0*x**4 - 3*x**4)*(171*x + 45777 - 45777) + 3*x**5 - x**5 - 4*x**5 + x**5 + 2*x**3 - 2*x**3 + (2*x**3 + x**3 - x**3)*(-3 + 3 + x**2). 343*x**5 Expand 2*c**4 - 8*c**4 + 3*c**4 + (-8*c**4 + 0*c**4 + 19*c**4)*(-24 + 4 + 9). -124*c**4 Expand u + 0*u - 2*u + 0*u + 0*u - 2*u + (-2 + 5 - 2)*(2 - u - 2) - 6*u + 2*u + 3*u + u - 2 - 3*u + u - 47*u - 24*u - 10*u. -87*u - 2 Expand (17 - 17 + 27*s)*(2 + 4 - 4) + 158*s + 1 - 152*s + 1. 60*s + 2 Expand (-2626 + 15*z**2 + 2626 + (-2*z + 0 + 0)*(2*z + 2*z - 3*z))*(-3*z**2 + 2*z**2 + 3*z + 2*z**2). 13*z**4 + 39*z**3 Expand (-2 + 15 + 3)*(-1 - 1 + 0)*(-4*w**4 + 7*w**4 - 7*w**4). 128*w**4 Expand (-p**2 - 4*p**2 + 3*p**2)*(23 - 24 - 17*p - 7*p). 48*p**3 + 2*p**2 Expand (6*g + 0*g - 9*g)*(-21*g**2 - 39*g - 5*g**2 + 39*g). 78*g**3 Expand (-r + r - r**2 + (-r - 1 + 1)*(5*r - 3*r - 7*r))*(2*r + 0 - 2 - 1). 8*r**3 - 12*r**2 Expand (-4*i + i - 2*i)*(0 + 6 - 2)*((4*i - 2*i - 4*i)*(-3*i**3 + 6*i**3 - i**3) - 2*i**4 + i - i + 5*i**4 + 0*i**4 + 0*i**4). 20*i**5 Expand -b**5 + b**5 + 2*b**5 + 51 - 51 + 53*b**5 - 2*b**5 - 2*b**4 + 2*b**4 - 2*b**3 - b**5 + 2*b**3 + (-b**5 + 0*b**5 + 0*b**5)*(-1 + 1 + 1). 51*b**5 Expand 6*b - 2*b - 2*b + (0 - 1 + 0)*(b - b - 2*b) + 2*b - 3*b + 2*b - 2 - b + 2 - 372 + 750 - 377 + 154*b. 158*b + 1 Expand (1 - g**3 - 1 - g**3 + 0*g**3 - 2*g**3 + (-3*g + g + g)*(2*g**2 + 5 - 5) + g**3 - g**3 - g**3)*(11*g - 11*g + 11*g**2). -77*g**5 Expand (-3 + 0 + 7 + (1 + 3 - 3)*(2 - 4 + 3))*(72*s - 29*s - 26*s). 85*s Expand (-1810 - 978 + 937)*(-x - 1 + 1). 1851*x Expand (10 - 10 + 5)*(-2 + 2 + 2*n + (-1 - 2 + 5)*(n + 5*n - 5*n)). 20*n Expand (4 - 4 + 11*t)*(-22*t**2 - 42*t + 42*t) - 2 - t**3 + 2. -243*t**3 Expand (4*z**2 + 8*z - 8*z)*(-9 - 10 + 0)*(-2*z + z - 2*z). 228*z**3 Expand j - 3*j + 0*j + 4 - 4 + 2*j + (5 - 1 + 4)*(-3*j + 7 - 7). -24*j Expand 3*q**3 + q**3 - 3*q**3 + (3 + 2*q**2 - 3)*(4*q - 3*q + 0*q) + 0*q + 0*q - 4*q**3 - 52*q**3. -53*q**3 Expand (-105 - 158 + 30)*(3 + 1 - 5)*(4*k**4 + 16*k**3 - 16*k**3 + (3*k**4 - 2*k**4 + k**4)*(-2 + 6 - 2)). 1864*k**4 Expand (r - 4*r + 4*r)*(-92*r + 51*r + 199*r + 152*r). 310*r**2 Expand (2 + a**2 - 2 + (5 - 4 + 1)*(-4 + 4 - 2*a**2) - 5*a**2 + 2*a**2 - 3*a**2)*(-3*a - a - 1 + 3*a). 9*a**3 + 9*a**2 Expand (-2 - 2 + 3)*(7 + 6 + 1)*(4 - 4 + 2*u). -28*u Expand -3*u**5 - 3*u**5 + 4*u**5 + (2*u**2 + 0 + 0)*(-4*u**3 + u**3 + u**3) - 7*u**5 + 3*u**5 + u**5 - 6*u**5 + 4*u**5 - 2*u**5. -13*u**5 Expand (1 - 3*j + 1 + 4*j)*(-j + 15*j + 0*j)*(-65*j**2 - 3*j**3 + 65*j**2). -42*j**5 - 84*j**4 Expand (-t + 2*t + 0*t)*(29 - 14 - 25)*(-13 + 16 + 17). -200*t Expand (-3 + 4 - 3)*(53 - 53 + 49*u)*(-2 - 2 + 5). -98*u Expand (-2 + 2 - 2*c)*(1 - 1 - 9 + (2 - 4 + 4)*(-1 + 4 - 4) + 0 + 4 - 1). 16*c Expand (-4*m + m + 5*m)*((-2 + 6 + 1)*(10 + 4 + 12) + 1 + 2 - 1 + (-3 + 3 - 1)*(4 + 3 - 5)). 260*m Expand (-782*h - 666*h + 367*h)*(2*h - 3 + 3). -2162*h**2 Expand (-1 + 2*k + 41*k - 6*k)*((0*k**3 + 0*k**3 + 3*k**3)*(k + k + 0*k) + 7*k**4 - 3*k**4 - 2*k**4). 296*k**5 - 8*k**4 Expand (-3*z + z + 3*z + 3*z - 3*z - 2*z + (-25*z + 12*z + 16*z)*(2 + 2 - 1))*(5*z**3 - z**3 - 3*z**3) - z**4 + 5*z**4 - z**4. 11*z**4 Expand (1 + 0 - 2)*(-294*u + 599*u - 267*u) + 2*u + 1 - 1. -36*u Expand 2*t**4 + 0*t + 0*t + (3*t - 2*t + t)*(3*t - 3*t + 2*t**3) + t**4 - 2*t + 2*t - 88*t**4 - 5*t**2 + 5*t**2. -81*t**4 Expand (11*b**2 - 135*b + 3 + 135*b)*(3*b**3 + 68*b**2 - 68*b**2). 33*b**5 + 9*b**3 Expand (6*g + 2 - 2 + (3*g - 5*g - g)*(1 - 3 + 0))*(0 - 4 + 3). -12*g Expand (2 - 6 + 0)*(-5*b + 3*b - 7*b + (6 - 2 - 2)*(0*b + 0*b - b) + 0*b - b + 2*b + 2 + b - 2). 36*b Expand (-3*i**2 + 2*i**2 - 2*i**2)*(11*i**3 + 11 - 11). -33*i**5 Expand (-2*r**2 - 3 + 3)*(-2*r - 2*r**3 + 2*r) + 17*r**3 - 17*r**3 - 8*r**5 + (-r**3 - 5*r**3 + 5*r**3)*(31*r**2 + 20*r**2 + 5*r**2). -60*r**5 Expand (44*o**2 - 75*o**2 + 85*o**2)*(o - 3*o - 1 - o)*(-4 + 4 - 2*o). 324*o**4 + 108*o**3 Expand (-211*h - 152*h + 112*h)*(0*h**2 + 2*h**4 + 0*h**2). -502*h**5 Expand (-14*d + 14*d + 37*d**3)*(21*d - 16*d + 9*d)*(-2*d + 4*d - 3*d). -518*d**5 Expand (7*s**2 + 70*s - 9*s**2 + 184 - 183)*(-3*s**3 - 4*s + 4*s). 6*s**5 - 210*s**4 - 3*s**3 Expand (-4*l + 2*l + 3*l)*(-20*l**2 + 12*l**2 + 13*l**2)*(5 - 7 - 1). -15*l**3 Expand 3*k**5 - 6*k**5 + 2*k**5 + (-4 + 2 + 32)*(-2*k - 2*k + 3*k)*(-6*k**4 - k**4 + 5*k**4). 59*k**5 Expand (10*h - 4*h - 5*h)*(-2 + 0 - 2)*(4 - 3 + 1)*(3 - 6 + 5). -16*h Expand 18*g**4 + 4*g**4 + 24*g**4 + (0*g**2 + g**2 - 3*g**2)*(5*g**2 - g**2 - 2*g**2) + 5 + 2*g**4 - 5. 44*g**4 Expand (7*v + 20*v - 3 - 13*v + v**2)*(2*v - v + v)*(2 - 5 + 2). -2*v**3 - 28*v**2 + 6*v Expand 2*u**3 - 8*u**3 + 0*u**3 + (-1 + 1 + u)*(-2*u**2 + 6*u**2 - 2*u**2) + 232 - u**3 - 9*u**3 - 234. -14*u**3 - 2 Expand 8*h**4 - 2*h**4 - 5*h**4 + (7*h**3 - 2*h**2 + 2*h**2)*(3*h + 4*h - 5*h). 15*h**4 Expand (-5*z + 5*z + 2*z**4 - 3*z**2)*(8 - 8 - 9*z). -18*z**5 + 27*z**3 Expand (-104*g + 110*g + 4 - 2)*(2*g**3 + 3*g**3 - 3*g**3)*(-5*g + 4*g + 3*g). 24*g**5 + 8*g**4 Expand -t**4 + t**4 + 2*t**4 + (3 - t**2 - 3)*(0*t**2 + 0*t**2 - t**2) - 254*t**4 - 8520*t + 8520*t. -251*t**4 Expand (-k - 4*k + 3*k)*(-42 - 31 - 55). 256*k Expand (0*c - 3*c + 14*c)*(0*c - 4*c - c) + 2*c**2 - 30*c + 30*c - 1. -53*c**2 -
{ "pile_set_name": "DM Mathematics" }
rt 2, 5, -4, -84, -15. -84, -15, -4, 2, 5 Sort 5, 1546, 29, -4 in ascending order. -4, 5, 29, 1546 Sort -3, -4, 4, 5, 0, 14253 in descending order. 14253, 5, 4, 0, -3, -4 Put -9, -2444, 1 in decreasing order. 1, -9, -2444 Sort 4, 426/11, -3.5 in decreasing order. 426/11, 4, -3.5 Sort -37, 122/7, 2, -5 in decreasing order. 122/7, 2, -5, -37 Put -657, -101, -2 in ascending order. -657, -101, -2 Put 0, 1027, 4, 3 in decreasing order. 1027, 4, 3, 0 Sort -18, -2, 5, 26, -5, 0.05 in decreasing order. 26, 5, 0.05, -2, -5, -18 Put -0.3, -5, -3, -0.06, 50/31 in descending order. 50/31, -0.06, -0.3, -3, -5 Sort 1, -6, 5, 2, -4, 113. -6, -4, 1, 2, 5, 113 Sort 163, 8, -27 in decreasing order. 163, 8, -27 Put 2/81, -22/9, 2/13, -1/12 in descending order. 2/13, 2/81, -1/12, -22/9 Put -4, -221805, -5 in descending order. -4, -5, -221805 Put -4, -5, 421, 17, -3 in decreasing order. 421, 17, -3, -4, -5 Sort 6, 1, -1, 3, -5. -5, -1, 1, 3, 6 Put 129, -2, 525, 1 in ascending order. -2, 1, 129, 525 Put 91, -1, 2, 4 in descending order. 91, 4, 2, -1 Sort -14, 49, -18 in descending order. 49, -14, -18 Put 5, -3, -5, 8109, -1, -4 in ascending order. -5, -4, -3, -1, 5, 8109 Put 5, -3, -2, -1515, 20, 3 in decreasing order. 20, 5, 3, -2, -3, -1515 Sort 17143, -10, 5. -10, 5, 17143 Sort -6, 5, -1, -453, -2 in increasing order. -453, -6, -2, -1, 5 Put 1341, -4, -18 in descending order. 1341, -4, -18 Sort 19, 8, -210. -210, 8, 19 Sort 19, -5, -89, 9, -4, -2 in increasing order. -89, -5, -4, -2, 9, 19 Sort 2530, 3, 47 in descending order. 2530, 47, 3 Put 3, 30348, -0.3 in ascending order. -0.3, 3, 30348 Put 5, 2048, -11 in decreasing order. 2048, 5, -11 Sort -176, -207.2, 0.5 in descending order. 0.5, -176, -207.2 Sort 0, 0.4, 38.92, 3, -0.079 in descending order. 38.92, 3, 0.4, 0, -0.079 Put -2263, 0.3, 3, 13/3 in descending order. 13/3, 3, 0.3, -2263 Put -4, -21664, 0 in decreasing order. 0, -4, -21664 Put -1948, 60, -1 in descending order. 60, -1, -1948 Sort -4, 3, 59, -8, -5 in descending order. 59, 3, -4, -5, -8 Sort 6/13, -2/9, 0, 1 in decreasing order. 1, 6/13, 0, -2/9 Put 1, 130, -4, 3, -7 in ascending order. -7, -4, 1, 3, 130 Put -212, -4, -123 in decreasing order. -4, -123, -212 Sort -0.5, 6.3, -0.1563 in ascending order. -0.5, -0.1563, 6.3 Put -176, -139, -13 in decreasing order. -13, -139, -176 Sort 4/13, -4, -3, -0.126, 5. -4, -3, -0.126, 4/13, 5 Put 2104, -1.4, 0.3, 0 in increasing order. -1.4, 0, 0.3, 2104 Put -6, 1/35, 3, -0.0249 in decreasing order. 3, 1/35, -0.0249, -6 Sort 9, 244, -14, -1, 4. -14, -1, 4, 9, 244 Sort 0.3, -0.81, 0.06, 12, 4, -1 in ascending order. -1, -0.81, 0.06, 0.3, 4, 12 Sort -2, -4, -2/9, 0.4, 275, 0.5 in descending order. 275, 0.5, 0.4, -2/9, -2, -4 Sort -1, -67331, 0, -5/4 in increasing order. -67331, -5/4, -1, 0 Put -14, -2, 4, 3, 771 in descending order. 771, 4, 3, -2, -14 Put 0, 4, -2, -1, -4, -7221 in descending order. 4, 0, -1, -2, -4, -7221 Put -63, 30, -432 in increasing order. -432, -63, 30 Sort 10, 18032, 1, 2, -5. -5, 1, 2, 10, 18032 Sort 594, 3, -3, -1, 0. -3, -1, 0, 3, 594 Put 1, -59, -13, 4, -5, 0 in decreasing order. 4, 1, 0, -5, -13, -59 Sort 1, -5, 4, -53, -3. -53, -5, -3, 1, 4 Put 3, 2, -4, -9054, 8 in decreasing order. 8, 3, 2, -4, -9054 Put 1360, 4, 315, -5 in decreasing order. 1360, 315, 4, -5 Sort 1, 3, 2, 9, 6. 1, 2, 3, 6, 9 Sort 0.3, 3, -2/15, 2, -50.73. -50.73, -2/15, 0.3, 2, 3 Sort -5, -40, -6, 5 in descending order. 5, -5, -6, -40 Put -10, -1891, -49 in descending order. -10, -49, -1891 Sort 36, 0, 3/2, -3, 7 in increasing order. -3, 0, 3/2, 7, 36 Put -0.6, 5, 3, 0.12, -2/5, 0.3 in ascending order. -0.6, -2/5, 0.12, 0.3, 3, 5 Put -48/13, 6/17, -1/6 in ascending order. -48/13, -1/6, 6/17 Sort -2, 55/3, -2/41, -5, 1/11 in decreasing order. 55/3, 1/11, -2/41, -2, -5 Sort -101, 3, -43, 10 in descending order. 10, 3, -43, -101 Put -1330, 4, -3 in ascending order. -1330, -3, 4 Sort 0, -5, -1, 694 in descending order. 694, 0, -1, -5 Sort -0.6, -2/5, -84/13, 4, 6. -84/13, -0.6, -2/5, 4, 6 Put 1779, -0.3, 0.4 in descending order. 1779, 0.4, -0.3 Sort -43, -5, -0.3, 28/11, -3, -6/7 in increasing order. -43, -5, -3, -6/7, -0.3, 28/11 Sort -9, 2, -5, -23, -6, -1 in increasing order. -23, -9, -6, -5, -1, 2 Put -1, 5, 239, -5, 1 in descending order. 239, 5, 1, -1, -5 Sort 75, 26, -4, 2 in descending order. 75, 26, 2, -4 Sort 0.4, 4, -2/5313, 0 in descending order. 4, 0.4, 0, -2/5313 Put 13, 14, -204, 1 in increasing order. -204, 1, 13, 14 Put 8/23, -0.3, 0.1, -501 in ascending order. -501, -0.3, 0.1, 8/23 Put 1, 2/29, 2/287, -2 in descending order. 1, 2/29, 2/287, -2 Sort -1579, 23, 5 in descending order. 23, 5, -1579 Put -2, 7, -189, 3, 1 in descending order. 7, 3, 1, -2, -189 Sort 9, 0, 10, 1/3, -8/21, 2/3. -8/21, 0, 1/3, 2/3, 9, 10 Put 31, 16, -28, 4, 1 in ascending order. -28, 1, 4, 16, 31 Put 1, -2, 3, -4, -787 in decreasing order. 3, 1, -2, -4, -787 Put -769, 0.3, 4/7 in decreasing order. 4/7, 0.3, -769 Sort 20, 864, -2, -4 in increasing order. -4, -2, 20, 864 Put 12, -2, -5, -1, -10, -7 in decreasing order. 12, -1, -2, -5, -7, -10 Put -5, -4, 0.3, -28/3, 169, 3 in descending order. 169, 3, 0.3, -4, -5, -28/3 Sort -1, -3/10, -1027, -0.4, 2 in ascending order. -1027, -1, -0.4, -3/10, 2 Sort -8, -14, 1671 in decreasing order. 1671, -8, -14 Sort 2, 31, 38 in increasing order. 2, 31, 38 Sort 4, 3, -2, -1729, 1, -6. -1729, -6, -2, 1, 3, 4 Put -7, -1, 3, -61, 249 in increasing order. -61, -7, -1, 3, 249 Put 4/3, -199/3, -0.07, -1 in increasing order. -199/3, -1, -0.07, 4/3 Sort 4204, 0, 2, -5, 3 in descending order. 4204, 3, 2, 0, -5 Sort 2/307, 0.10662, 3/7 in ascending order. 2/307, 0.10662, 3/7 Put 4/11, 27, -0.1, 0.3, 5, -2/7 in increasing order. -2/7, -0.1, 0.3, 4/11, 5, 27 Put 0.1, -45, -0.1, -5, -37 in descending order. 0.1, -0.1, -5, -37, -45 Put -1, -5, 953, -0.07 in ascending order. -5, -1, -0.07, 953 Sort -7, 33.6, 2/19, -3/2, -4 in descending order. 33.6, 2/19, -3/2, -4, -7 Sort -1, -3, 241, 5, -4, 4. -4, -3, -1, 4, 5, 241 Put 11, -4, 201 in decreasing order. 201, 11, -4 Put -5, 1/2, 2.5, 15/13 in descending order. 2.5, 15/13, 1/2, -5 Put -1, -22506, -2, -3 in ascending order. -22506, -3, -2, -1 Put 2, 0.75, -5, -3/5 in ascending order. -5, -3/5, 0.75, 2 Sort -2, 72, 578 in ascending order. -2, 72, 578 Sort -1.1, -0.843, 0.4, 11, 3 in increasing order. -1.1, -0.843, 0.4, 3, 11 Put 4, -11, -0.545 in decreasing order. 4, -0.545, -11 Put 1, 2, 0.3, 0.6, 48/7, -4 in increasing order. -4, 0.3, 0.6, 1, 2, 48/7 Put -2, -283, -1, 1 in ascending order. -283, -2, -1, 1 Sort -20, -1, 3/4, 1/7, -1/4, 0.3 in increasing order. -20, -1, -1/4, 1/7, 0.3, 3/4 Put 0.4, -5, -1.4, 4, -0.05, -4 in descending order. 4, 0.4, -0.05, -1.4, -4, -5 Sort 3, 0, 6, -2/13, 4 in decreasing order. 6, 4, 3, 0, -2/13 Sort 74, 38, 1/3 in descending order. 74, 38, 1/3 Sort -672, -3, 48 in decreasing order. 48, -3, -672 Sort -0.1, 0, 5, 2/1239 in increasing order. -0.1, 0, 2/1239, 5 Put 5582, -0.1, -1/5 in descending order. 5582, -0.1, -1/5 Sort -4, -174, 1, -10. -174, -10, -4, 1 Put -5, 2, -422, -200 in decreasing order. 2, -5, -200, -422 Sort 2, 0, -3, 5, 825, -247. -247, -3, 0, 2, 5, 825 Sort 9, -2, 66, 453, -3, -4 in descending order. 453, 66, 9, -2, -3, -4 Put -179, -19/5, -5 in decreasing order. -19/5, -5, -179 Put 1306488, 0.1, -2 in increasing order. -2, 0.1, 1306488 Put 0, 2, -9, -4, -5, 325 in decreasing order. 325, 2, 0, -4, -5, -9 Sort 12, -37, -0.36, -0.1 in increasing order. -37, -0.36, -0.1, 12 Sort 10.3, -3, -5, -1/4 in decreasing order. 10.3, -1/4, -3, -5 Sort -1, 2, -4, -1787, -2 in decreasing order. 2, -1, -2, -4, -1787 Put -70, 2/5, 5, -38, 0 in decreasing order. 5, 2/5, 0, -38, -70 Put -1, -655, 1, 3, -0.1 in increasing order. -655, -1, -0.1, 1, 3 Sort 15, 5, -3, 707 in descending order. 707, 15, 5, -3 Sort -2, -0.3, 5/13, -44, 0.3. -44, -2, -0.3, 0.3, 5/13 Put 0, -9/22, 0.122, -14/3 in decreasing order. 0.122, 0, -9/22, -14/3 Sort -3, -5467, 3 in decreasing order. 3, -3, -5467 Sort -1.151, 125, -16 in ascending order. -16, -1.151, 125 Sort -10, -12, -5, 2, 3, -3 in ascending order. -12, -10, -5, -3, 2, 3 Put 0.09, -179, 1/5, 1 in increasing order. -179, 0.09, 1/5, 1 Sort -0.05, -57, -4, 1/3, 0.1 in descending order. 1/3,
{ "pile_set_name": "DM Mathematics" }
4*f - 9*f = 65 for z. 16 Solve 2*p - h = 3*p - 5*h, 3*h + 195 = 192 for p. -4 Solve -v = 154*s - 191*s - 6*v - 278, -4*s + 4*v = -4*s - 104 for s. -4 Solve -5*z - 5*o + 365 - 350 = 0, 0 = -4*z - 258*o + 1790 for z. -4 Solve -1385*q - 58 = 1379*q - 2768*q - 5*k, 0 = -k + 2 for q. 12 Solve 4*b + 220 = -3*n + 7*n, 0 = -2041*b + 2042*b + 3 for n. 52 Solve 10*l - 270 = 5*p, 4*l - 89 - 185 + 74 = 4*p - 0*p for l. 4 Solve -4*w = 12*h - 92, -3*w + 197*h - 193*h + 4 = 0 for w. 8 Solve 24*z - d - 218 = -26, -17*z - 9*d + 8*d + 60 + 76 = 0 for z. 8 Solve -4*h + 25 = 5*d, -3*h - 2459 = -d - 2473 for d. 1 Solve 6 = -18*h - 30, 16 = -4*k - 3*h + 17 + 173 for k. 45 Solve -1281*v = -1277*v + 2*w + 422, -113 - 109 = 4*v - 38*w for v. -103 Solve 3*g - 2*c - 51 = 0, 0 = g + 2*c + 1066 - 995 for g. -5 Solve 2*h = c - 5*h + 81, -5*c - 58*h + 55*h = -51 for c. 3 Solve -50*g = -51*g - k + 57, -4*g - 95 = -5*k + 217 for g. -3 Solve -24099*n = 5*t - 24100*n + 50, 2*t + 6*n = -52 for t. -11 Solve 68 = 4*a + 5*l, -9*a - 8*l = -24*a + 12*a - 137 for a. -3 Solve -2*x = 2*n + 3*n - 30630819 + 30630854, 5*x + 3*n + 40 = 0 for x. -5 Solve -4*i = 47137*j - 47136*j + 26, 0 = -7*j - 3*i - 32 for j. -2 Solve 0 = -2*i - 2*p + 12, -4*p = -36658*i + 36655*i + 32 for i. 8 Solve -61641*i - 6*j = -61643*i - 3*j + 22, -i + 3*j + 20 = 0 for i. 2 Solve 5*h + 4*p = -36, 596*h + 24 = 597*h - 13*p - 24 for h. -4 Solve -13 = -26*n + 11*n + 16*n - b, 0 = -4*n + 2*b - 46 for n. -10 Solve 5*z - 5*f = -35, -11*z - 536 + 491 = -8*z + 3*f for z. -11 Solve -30*q + 9*q - 2*d = -53*q + 328, 4*q + 2*d = 32 for q. 10 Solve -3*s = -6*s - 15, m + 37*s + 640 = -17*s - 73*s for m. -5 Solve 3*n - 9 = 20*m - 23*m, 0 = -4*m + 4*n + 2 + 34 for m. 6 Solve -5*k = 10*t + 115, 4*k - 4*t - 576 = -0*t - 548 for k. -3 Solve -14516*k + 14517*k = -6*d - 84, -4*k - 70 = 5*d for d. -14 Solve -2*t + 3*o - 87 = 0, -5*t - 5*o - 1040 = -1160 for t. -3 Solve 9717740*r = 9717737*r + 2*u - 12, -3*r - 5*u = -72 for r. 4 Solve -3*f - 7 = -2*g, -24 - 68 = -67*f - 4*g - g for f. 1 Solve -r - 5849 = -5*g - 2*g - 5880, 0 = -4*g - 2*r - 28 for g. -5 Solve 2*i + p - 30 = 0, 132*i - 65*i - 69*i - 18*p + 676 = 0 for i. -4 Solve -30*g - 162 = -2*p, -4*g - 44 = -72889052*p + 72889048*p for p. 6 Solve -8*u + 5 = -z - 2 + 47 + 3, z - 31 = 2*u for z. 27 Solve 5*s + 5 + 45 + 66 = 2*y, 0 = -3*s - 31*y + 1798 for s. 0 Solve h + 7*h = 6*h + 3*a + 11, -12*h + 83 = -a for h. 7 Solve 386*s = 390*s - 2*q + 30, 0 = -374*s - q - 3745 for s. -10 Solve -7*l - 19 = -2*y + y, -2*l + 91 = 6*y + 2*l + 23 for y. 12 Solve -61*v + 13 = -3*s - 24*v - 32*v - 31, -v = s + 4 for s. -8 Solve -3*t + 157*g + 143 - 253 = 159*g, g = -5*t - 174 for t. -34 Solve 0 = 4*y + 4*p + 84, 842*y - 681*y + 376 + 2537 = -5*p for y. -18 Solve 2*m - 8 = -3*y, 5*y - 257672*m = -257676*m + 10 for y. 6 Solve 2*y = 2, -5*b + 4*y + 56 - 71 + 42 + 24 = 0 for b. 11 Solve 4*l - 137 = -3585773*c + 3585770*c, 5*c - 143 = -4*l for c. 3 Solve c - 167*n = -658, 2*n = 8433*c - 8428*c - 42 for c. 10 Solve -32 = -4*c + 4*m, 72*c + 3*m = -89*c + 1031 - 399 for c. 4 Solve 10*g - 6*g + 15 = g, -12*v - 22*v - 5*g = -24*v + 185 for v. -16 Solve 0 = 3*b + v - 50, -3*v - 81 + 63 = -33 for b. 15 Solve 0 = -3*x - 5*m - 94, 0 = -558380*x + 558356*x - 2*m - 562 for x. -23 Solve 4*t + 3*a - 106 = -152, -649 = -t - 331*a for t. -13 Solve -3*d + 5*m = -d - 14*m + 24*m - 3, -9 = 4*d - 5*m for d. -1 Solve -275*c + 562 = -4*o, -4*o - 987 - 972 = -2*c - 1943 for o. -3 Solve 3*t = -5*x - 26, 394256*x + 4*t + 16 = 394254*x for x. -4 Solve 0 = -3*k - z - z - 42, 48*z - 44*z = 5*k + 92 for k. -16 Solve 6563130*d - 4*y - 136 = 6563126*d, 2*d = -7*y + 77 for d. 35 Solve k + 196 - 215 = 3*h, 0 = -k + 21*h - 17 for k. 25 Solve -4073*w = -4*v - 4072*w - 24, 2*v + 12 = 4*w for v. -6 Solve 25*c = 29*c - 2*q + 244, 854 = -14*c - 4*q for c. -61 Solve -4*c - 5*w = 25, -318*c + 320*c - 2*w = 10 for c. 0 Solve c + f - 4 = 0, 884*c - 889*c = -92*f - 408 for c. 8 Solve 0 = -971*i - 980*i + 1947*i - 2*a - 14, 3*i + 49 = 2*i - 4*a for i. 3 Solve -155*o - 4*y - y = -155*o + 10, 15*y + 6 = -4*o + 4*y for o. 4 Solve 50 = 2*b + 3*u, 1471*u = b + 1475*u - 20 for b. 28 Solve 6*y = 2*k + 34, -103 = 552*k - 541*k - 5*y for k. -8 Solve 230 - 166 = 2*p - 5*v - 78, -p + 2*v = 3*p - 44 for p. -4 Solve c + 3*c + 0*m = -m + 18 + 22, -107 = c - 29*m for c. 9 Solve 0 = -3*d + 5*c - 205, -9*d + 2*c + 1074 = 1117 for d. 5 Solve -g + 27 = -1600*w + 1605*w, 2*g - 3*w = -24 for g. -3 Solve 3*c + 2*f = 2, f + 782 = -c + 783 for c. 0 Solve -4789 = 2*f - 47*j - 4689, -4*j + 26 = -6*f for f. -3 Solve -5*q - 3867 = -4*q + 60*y + 1769, -2*q + 3*y + 290 = 0 for q. 4 Solve 76*z = 2*h + 157*z - 76*z + 3, 6*h - z - 39 = 0 for h. 6 Solve 0 = 2655*s - 2652*s - 3*f - 96, 3*s = -47*f + 96 for s. 32 Solve 5*d = -6905*h + 6903*h + 5, 2*h = -2*d + 20 for h. 15 Solve -3*v + 5*y + 684 = v + 1363 - 707, -7*y - 71 = 5*v for v. -3 Solve 5*b - 31 = 3*b + y - 67 - 10, 7*y - 124 = 5*b for b. -22 Solve -4*d + 3*v = 5, 4*d = -v + 27 - 52 for d. -5 Solve 25*u - 267 = -2*k, 3*k - 2*k - 5*k = 2*u - 6 for k. -4 Solve n - 22 = -5*o, -30*o + 2*n - 2*n + 148 = 8*o - 2*n - 0*n for o. 4 Solve -5*z = 2*p + 28, -45*z + 91*z - 64 = -p + 63*z for p. -4 Solve -j + 0*i - 3090 = 14*i - 2995, 0 = -4*j - 4*i - 16 for j. 3 Solve -5*b - 2*p + 3*p = 492325 - 492223, -b - 28 = -4*p for b. -20 Solve -6*h + 13*h + 0*h + 5*b + 73 = 0, -6*h - 89 = -b for h. -14 Solve -5*a - 3*i - 3732 = 2*i - 3637, 4*a + 433 = -21*i for a. 2 Solve 5*k - 14 = 58*l - 63*l - 16 - 18, -15 = 3*k + 9 for l. 4 Solve -13*n = -18*n + 6*h + 28, 5*n + 19 = 10*n - 3*h for n. 2 Solve -302485 = 2*u + 5*x - 302494, 3 = 2*u + 3*x for u. -3 Solve 8*k - 31*k - 3*t = 98454 - 98491, -3*k - 5*t + 52 + 45 = 0 for k. -1 Solve -5*n = -4*z + 16, 20*n = 23*n - 47*z + 48*z + 13 for n. -4 Solve -15*i - 2*p = -18*i - 6, -3*i - p - 15 = 0 for i. -4 Solve 5*f + 4413 = -v + 4511, -4*f + 199 = 41*v for f. 19 Solve -k - 7 - 5 = 3*d - 8*d, 4*k + 6055*d = 8*k + 6051*d - 16 for k. 8 Solve -20 = 5*b, -2*t + 6*t + t + 12*b - 17 = 0 for t. 13 Solve 0 = 10*i - 5*d + 20, 90*i = 94*i - 5*d + 32 for i. 2 Solve 2*n = -2*k - 62, 4063*k - 4050*k + 195 = -5*n for n. -26 Solve 3*i - 7 = -56960*o + 56962*o, 5*i + 5 = 0 for o. -5 Solve 21*i - 8*z - 75 - 46 - 62 = 121, 72 = 5*i - 2*z for i. 16 Solve 4098*i - 4095*i - 3 = 3*n + 21, 5*n + 104 = -0*n + 21*i for n. -4 Solve y - 6 = 6*s - 24, -222*y - 11*s + 20 = -226*y for y. 6 Solve 0 = -2*l + 10*a - 24, -10*a = -4*l + 5*a - 16*a + 57 for l. 13 Solve -48 = 6*s - 2*s - 32, 33 = 9*k - 2*s + 160 for k. -15 Solve 2*g + 19 - 14 - 46 - 18 = 11*u, -12*u - 5*g = 50 for u. -5 Solve -15*g = -l - 178, -2894*g + 2*l + 44 = -2890*g for g. 12 Solve 0 = 3*s - 5*a - 91, -63647*s = -63644*s - a - 11 for s. -3 Solve -10*m + 32 = -x, x + 3810 = 4*m + 3802 for x. 8 Solve -2*c - 34 = -n + 2*n, 99*c + 116 = -14*n + 95*c for n. -4 Solve -95635*w + 95644*w + 388 = 4*t, -4*t = 2*w + 96 for w. -44 Solve 2*i = d - 63 + 4, -23*i + 4 + 0 = -d for i. 3 Solve 0 = -20*x - 5157*b + 5159*b + 6, 0 = -x - 5*b - 219 for x. -4 Solve 140*g - 4*o - 64 = 9 + 83, 4*g + 5*o + 16 = 0 for g. 1 Solve 4*f + 23*b = -35, -10*f - 15*f = -26*f + 3*b for f. -3 Solve 162*k - 3*a = 272*k - 115*k + 2 - 12, 0 = -k + 2*a - 9 for k. 1 Solve -2*g = -2*i - 12, 4*i - 674 = -136*g + 268*g + 221*g for i. -8 Solve -2*c + 5*r + 33 = 0, 5*c - 16*r - 31 = -44*r + 26*r + 66 for c. 19 Solve 34*j - 62*j + 1499 = -5*d, 3*d - 256 = -5*j for d. -3 Solve 19*q + 3*b - 105 = 0, -2048*b + 2050*b + 6 = 0 for q. 6 Solve -q + 764*x = 755*x - 149, -q + 98 = -6*x for q. -4 Solve -4*o + 23*s + 194 = 11*s + 6*s, 2*o - 62 = -4*s for o. 41 Solve -4*k - 12 = 0, -7*z + 147*k - 42*k + 50 = 44*k + 56*k for z. 5 Solve -3*g = 2*f - 7, -2*g + 15367 - 15361 = 2*f for g. 1 Solve 5*r = 4486*p - 4481*p + 35, 2*p - 112 = -16*r for p. 0 Solve 75 = -b + 2*c, 5*b + 5*c = 1 + 164 for b. -3 Solve -2*j - 184 = -11*f, -3*f + 33902*j = 33899*j - 60 for f. 16 Solve 3*j + 26 + 1 = -5*o - 11, -7*o + 20 = -8*j for j. -6 Solve -t + 4*m + 33 = 0, t + 20*m - 810770 + 810929 = 0 for t. 1 Solve 5*u + 799735 = -3*q + 799721, 4*q - u + 11 = 0 for q. -3 Solve 4*m + o + 34 = 0, 439 = -45*m + 47*m - 5*o + 401 for m. -6 Solve 14*s - 23*s = -12
{ "pile_set_name": "DM Mathematics" }
33)/q)/q)*q)/(q*q**(6/5)*q))/(((q**14/q)/q)/q)**(-9) assuming q is positive. q**(664/5) Simplify (((((m*m/(m**(-4/3)/m*m))/m)/m)/m)/m**(-2))/(((m**(2/21)/m)/m*m)/(m**(-7)*m))*((m/(m*m**1))/m**(-8))/(m**1/m)**18 assuming m is positive. m**(89/21) Simplify (t*t*t/t**1)**22/(t**4/(t*t*t*t**(2/11)/t))*(t/(t/t**1))/t*t*t**(-2/9)/t*t*(t**(-6/11)*t)/t*t**(-4)/t assuming t is positive. t**(3704/99) Simplify ((t/(t**(-6)*t*t))**(-19)/(t**(5/3)*t*(t**(1/7)*t)/t*t))**(-2/49) assuming t is positive. t**(4150/1029) Simplify (t*t/(t/(t/t**(-2/5))))**(-35)/((t*t*t**(-1/4))/t*t**(6/11))*(t/t**(1/3))/t**(1/2)*(t/t**8*t)/(t*t**0) assuming t is positive. t**(-12161/132) Simplify (((p**(-1/3)/p)/p)/p**(-2))**(-38)*(p*p/(p/(p**(-4/3)*p))*p**(-7))**(3/13) assuming p is positive. p**(437/39) Simplify ((t**(-1/2)/t)**(-1/74))**(-42)/((t*t/(((((t/(t*t**(-1)))/t)/t)/t)/t)*t)**27*(t/(t*t**(-1/2)))**(-46)) assuming t is positive. t**(-10349/74) Simplify ((u/(u**(-2/7)/u)*u*u/((u/u**(-1/4))/u))/(u/((u/u**0)/u)*u)**(10/3))/(((u**(-3)/u)/u)/u**(-5))**21 assuming u is positive. u**(-221/84) Simplify s/(s*s/s**(-3)*s)*(s**(1/4)/s)/s*s*(s/(s*s**(-1/6)*s))/s**(1/5)*((s*s**(1/2))/(s*s**(-10)/s))**(-2/27) assuming s is positive. s**(-4123/540) Simplify (((f*f**(-7/3)*f)/f*f**(4/5)/f)/(f/f**5)**21)**11 assuming f is positive. f**(13607/15) Simplify (f**(-9)*f*f**(1/13)/f)/((f*f**(-6/17))/f)**(-3/53) assuming f is positive. f**(-104750/11713) Simplify ((j**(1/3))**24/(j**14*j**(-1)))**(5/16) assuming j is positive. j**(-25/16) Simplify (m**(-3)/m**(1/5)*m*m/(m/(m*m**1))*m**(-1))/((m*m*m/((m/m**(-1))/m*m))**(-5/13)*(m/(m*m**(-3)/m*m*m))/(m/(m**(1/8)*m))) assuming m is positive. m**(-1529/520) Simplify (k/(k/(k/(k*k**(-4/7))))*k/(k*(k/k**3)/k))**(-27)*(k/k**(-2)*k**4*k*k)/(k**(-1/4)*k)**(5/2) assuming k is positive. k**(-5001/56) Simplify ((((d**3)**(-6))**(-1/9))**(9/2))**(-14) assuming d is positive. d**(-126) Simplify ((m*m**(-1/3)/m)**38)**(9/4)*(m**(-2/3))**(-5)/(m**(2/3))**(-2/35) assuming m is positive. m**(-1759/70) Simplify ((m*m/((m/(m**4/m))/m*m))**38)**(-9)/((m**(1/4)*m)**48/((m**(4/11)*m)/(m*m**(-5)))) assuming m is positive. m**(-15649/11) Simplify ((j/j**1)**(-45)*j**(-3)*j**(-4)*j*j*j*j*j)/(((j**6/j)/j**(2/9))/(j**(-1/4))**44) assuming j is positive. j**(-160/9) Simplify (l**(3/16)*l/(l*l*l**(-7)))**(5/6)*(l**(6/7)/(((l*l/(l/(l/(l/(l/l**(2/7))))))/l)/l))**(-7) assuming l is positive. l**(-91/32) Simplify (z*z*z**(-2/9)*z*z**5)/((z*z/z**(-1))/z*z)**(-34)*z**(-5/3)*z**(-8)*(z*z**4)/(z*z**(-6)*z) assuming z is positive. z**(982/9) Simplify (((t/(t*t**(-2)*t)*t)/t**(-1/2)*(t**0)**(-2/179))**(2/7))**(2/41) assuming t is positive. t**(10/287) Simplify ((o**(-3/7))**23*((o**(-3/5)*o)/o)**(-32))**(-1/10) assuming o is positive. o**(-327/350) Simplify ((m*m**(2/7)*m*m)**(-4/3))**29/((m*m*m**(-3)*m)/m**(5/4)*(m**(1/5)/m)/m*m**(-2/3)) assuming m is positive. m**(-51799/420) Simplify ((d/d**2)/(d*d/((d**2*d)/d)))/((d**(-1)*d)/d)**9*((d*d/((d**(-4)/d)/d))/d**(-1/5))**42 assuming d is positive. d**(1762/5) Simplify (r**(6/13)*r/r**(-4)*(r/r**13)/(((r**(-4/3)/r)/r)/r))**(6/13) assuming r is positive. r**(-172/169) Simplify (x/x**(-20)*x)**(31/5)/(x**(1/14)/x*x*x*x*x/(x*x/x**12)) assuming x is positive. x**(8633/70) Simplify (((u*(u**(-2/7)/u)/u)/u*u/((u*u**(-6))/u))/(u**(-2/7)*u)**(-5))/(u**(1/7)*u**(2/17))**(4/23) assuming u is positive. u**(3222/391) Simplify (((s*s*s/(s/((s**3/s)/s))*s**(-1/4))/(s*s**(-2/5)/s)**(1/22))**(-24))**(-4/19) assuming s is positive. s**(14616/1045) Simplify ((d**(-2/3))**(7/4))**(-18)/((d**(1/4))**(-1)/((d/(d*d*d**(-4))*d)/d*d/(d**4/d))) assuming d is positive. d**(89/4) Simplify ((o*(o*o/(o*o**(-1/4)))/o*o**6*(o**3*o*o)/o**(1/2))**(-7/2))**(-34) assuming o is positive. o**(5593/4) Simplify (m*m**7/m*m**(-4)*m)**(-37)/((m/m**(-3)*m*m**(2/7))/(m*m**0*m)**(22/7)) assuming m is positive. m**(-147) Simplify ((i*(i**(1/7)*i*i)/i)/(i**(4/11)/i)*i**(-2/7)/(((i*i**(-2/11))/i)/i))**15 assuming i is positive. i**(4245/77) Simplify (f**(-1)/f)**(-15/4)*f**(2/17)*f**(2/11)*f*f*f**(2/33)*f**(-3/5)*(f**(-2/7))**(20/9) assuming f is positive. f**(1016129/117810) Simplify (j**4/j*j*j**(-6)/j*j)**25*((j**(-1/4))**(-3/43))**(-4/19) assuming j is positive. j**(-40853/817) Simplify h/(h**(-6/11)*h)*h*h/(h*h/h**(-3))*(h**2)**(-4)*(h**(3/8)/h**(5/6))/(h**0)**(-6/7) assuming h is positive. h**(-2881/264) Simplify ((w**1*w/(w*(w*w**1)/w*w))/((w*w**5)/w**5))/(((w/(w/w**(-6)))/w*w*w)/(w*w*w*w*w**(-3/10)*w*w)*((w/w**(-8))/w)/w*w*w**(1/3)) assuming w is positive. w**(11/30) Simplify (u**(-5)*u*u/(u**(-15)*u)*(((u*u/u**(-2/19))/u*u)/u)/(u/(u*u**(-13/2))))**(-21/2) assuming u is positive. u**(-4473/76) Simplify (q*q/(((q/(q*((q*(q/((q/q**(-3/7)*q*q)/q)*q)/q)/q)/q)*q)/q)/q))**24/((q/q**(-1/66))/q*q**(-16/7)/q*q) assuming q is positive. q**(1055/66) Simplify ((u**(-3/7)/u)**(-4/21)*(u*(u*u*u*u*u**2)/u*u)**(-7/9))**26 assuming u is positive. u**(-59306/441) Simplify y**(2/9)/(y**(-1/9)*y)*(y**5/y)/y*y*y/y**(-2/3)*(y*y/(y/(y*y*((y/y**2)/y)/y))*y)/y*y**7*y**(2/5)/y**(-6) assuming y is positive. y**(92/5) Simplify ((t**1)**(-50)*(t/(((t/t**(1/10))/t)/t))/(t*t*t**(3/5)))/((t**1)**(-47)*t**(-3/5)/(t/(t**(-4/5)*t))) assuming t is positive. t**(-21/10) Simplify ((((m/(m*m**(6/5)))/m*m*m**(-2/43)*m)**1)**(1/3))**50 assuming m is positive. m**(-530/129) Simplify (f**(-5/3)*f*f*f*f**(-3/7)/f*f)**(-28)/(((f*f**0)/f)/(f/f**4*f)*(f/(f/(f/(f/(f**(-4)/f)))))/f*f**7) assuming f is positive. f**(-85/3) Simplify (y**4/y**(-6)*y**6/y**(-4))/((y*y/((y**(-8)*y*y)/y))/(y/(y*y/(y**(-2/15)/y)))*(y**(-1))**(-7/2)) assuming y is positive. y**(161/30) Simplify ((w/(w/w**1*w))/w*w/(w/(w/w**(-3/7)*w)))/(w*w**(4/7)*w**4)*(w*w*w**(-3)*w)/(w/w**(-4))*w**5/w**(1/5) assuming w is positive. w**(-152/35) Simplify ((f/f**(-12))**(-1/7)/(f**0/f*f**18))**(-5/7) assuming f is positive. f**(660/49) Simplify (d**(3/10)*d**(-4/13)/d)**(-3/25)/(d**(-1/2)*d*d**(2/9)/d*d*d**3/((d**(-5/2)*d*d)/d)) assuming d is positive. d**(-149213/29250) Simplify (v**(2/11)*v/(v*(v/v**8)/v))**47*((v**(-2))**(-5/6))**(-1/33) assuming v is positive. v**(38065/99) Simplify ((y**23/y)/((y/(y*y**(-16)))/y*y)*y*y*y*y**23*(y*y**(-19)/y)/y)**(12/5) assuming y is positive. y**(144/5) Simplify (b**(-3)/b**(1/12))**(-17)*(b**(-2/9)*b/(b**(-3)/b))**(1/5) assuming b is positive. b**(9607/180) Simplify (w**(-2)*w*w**(-1/3)*(w/(w*(w*w/(w/(w**(1/5)/w)))/w))/w**10)**(4/11) assuming w is positive. w**(-632/165) Simplify (j**(2/23)/(j*j**(6/5))*j**(4/5)/j*j**(10/13))**(-2/17) assuming j is positive. j**(4616/25415) Simplify (u**9*u)**22*(u/(u*(u*u**6)/u*u*u))**(5/11) assuming u is positive. u**(2380/11) Simplify ((w**(-2/11)/w**(-3))/(w**1*w)**(-1/10))/((w*w**(-3/7))/w**(-3/7)*w**0*w*w**6*w) assuming w is positive. w**(-329/55) Simplify ((n**19*n*n)/n**(-2/7)*((n/((n/(n/n**(-23)*n))/n))/n)/n*n*n**(1/34))**(4/21) assuming n is positive. n**(22046/2499) Simplify ((o*o*o**5)**(-14/9)*(o*o**(4/3)/o)**(-31/3))**29 assuming o is positive. o**(-2146/3) Simplify k**6*k**4*(k/(k*k/(k**(-5/4)*k*k)))/k**(5/4)*(k/k**(-1))**(-7/6)/(k**(-1)/k*k**9) assuming k is positive. k**(-5/6) Simplify ((x*x**(-1/24))/(x*x**(-2/5))*x/(x**(-7/4)*x)*x*x**(-3/5)/x)**(2/79) assuming x is positive. x**(181/4740) Simplify ((d*(d/(d*d**(-2/47)))/d*d)**(-1)/(d/d**(-20)*d/d**(-7)))**43 assuming d is positive. d**(-60716/47) Simplify (y**(-1/2)/(y/((y/(y**(4/7)/y)*y*y*y*y)/y))*(y**1*y)**(2/41))**40 assuming y is positive. y**(34740/287) Simplify ((h*((h*h/(h*(h*h*h**1/h)/h))/h)/h)**(-3/2))**(1/18)/(((h*h/(h*h**(1/6)/h))/h)/(h**(2/47)*h))**(-3/2) assuming h is positive. h**(-65/282) Simplify ((s**(2/7)*s)**25/(s/(s**(-1/3)*s))**(-17))**(-31/3) assuming s is positive. s**(-24614/63) Simplify (((d*d/d**12)/d**(2/29))/(((d/(d/(d/(d/d**(-6)*d*d*d*d)))*d)/d)/(d*d**(-4/13))))**(-8/3) assuming d is positive. d**(-1880/1131) Simplify (q*q**(-5)*q*q**(1/4)/q)**(-31/4)/(q**(-1/5)*q/(q*q/(q*q**(-3)/q)*q)*q)**(1/27) assuming q is positive. q**(21037/720) Simplify (n**(1/7)*n**0/n)/(n**(-3)/n**(2/7))*(n**(1/3)*n/(n*(n/((n/(n*((n*n**(-2))/n*n)/n))/n*n))/n*n)*n)/(n**1*n)**(-6/13) assuming n is positive. n**(1552/273) Simplify b**(-2/5)/b**(-8)*(b*b**3*b)/b**9*((b*b/b**(9/5)*b)/(b*b**(-2/9)))**(-4/13) assuming b
{ "pile_set_name": "DM Mathematics" }
ler: 0 or n? 0 Let f(b) = b**3 + 25*b**2 - 27*b - 28. Let x be f(-26). Are -0.03 and x equal? False Suppose 52 = 5*x - 23. Let l be 2*(x/2)/3. Suppose 5*r + 0*c - 55 = -5*c, 0 = -2*r - l*c + 37. Does 2 = r? False Let k = 14 - 12. Is 2 greater than k? False Suppose 3*p = 3*s - s - 4, 0 = -5*p + 4*s - 6. Let x be -1 + (-1 - (-1)/(-5)). Is p equal to x? False Suppose 0*n + 4*t - 1 = 3*n, -9 = -5*n + 4*t. Suppose 14 = -n*u - 6. Is u <= -6? False Suppose -g = x - 3, -4*x = x - 5*g + 35. Let n(c) = 3*c - 1. Let o be n(1). Let s = o + -5. Is x greater than s? True Let u = -17 + 22. Is 3 < u? True Let g = -2/525 + -344/1575. Which is greater: g or -1? g Suppose 0 = -4*f - b + 16, 3*b + 4 = -5*f + 24. Which is smaller: 6/5 or f? 6/5 Suppose 0 = -p - 2*p + 63. Let o be ((-14)/p)/(1 - 4). Which is greater: o or 1? 1 Let u(b) = 2*b - 4*b - 2*b**2 - 1 + 0*b + b**3. Let t be u(-1). Let j be -1 - 2 - (t - -2). Which is greater: 0 or j? 0 Suppose 2*w - 3*w + 1 = 0, -4*b = -5*w + 9. Let k be 12/8*4/(-6) - 5. Is k greater than b? False Suppose 0*r + 8 = -2*r. Is r at least -4? True Suppose 4 = h - 4*p, 3*p = -h - 1 - 16. Let k = h - -5. Which is smaller: k or -4? -4 Let s(g) = -g**2 - 14*g + 19. Let o be s(-12). Are o and 42 unequal? True Suppose 6*z + 37 - 31 = 0. Is 2/429 at least z? True Let k = -2.5 - -4.7. Let f = k - 2.3. Let o = -3/28 - 5/28. Are f and o nonequal? True Let i = 14 - 14. Let b be i + (0/(-4) - 1). Is -1/3 bigger than b? True Let z(h) be the second derivative of -7/6*h**3 - 2*h - 5/2*h**2 + 0 - 1/20*h**5 - 7/12*h**4. Let b be z(-6). Which is smaller: -1/5 or b? -1/5 Let j = 0.045 - 0.255. Which is greater: 0.1 or j? 0.1 Suppose 2*x + 5 = 3. Which is smaller: x or -1/4? x Let q = 1 + 1. Let g be 1/(5/(-3) + q). Suppose 0 = 2*m + 3*l - 2*l + 7, -12 = -g*m + 3*l. Which is bigger: m or 0? 0 Let t = 77906/4015 + -3/803. Let m = t + -19. Which is smaller: m or -1? -1 Let z = 16 - 10. Let h be -1 - -6*3/z. Which is bigger: 5/4 or h? h Suppose 0*t = -n + 4*t + 75, -3*t = 5*n - 329. Is 67 at most n? True Let m = 18 + -14. Suppose m*r + 39 = 15. Does r = -7? False Let y(a) = -a**3 + 2*a**2 + 3*a - 4. Let v be y(3). Let s be (-7)/(-3) + v/(-6). Suppose 4 + 8 = s*l. Are l and 3 unequal? True Let x be ((-24)/5)/(3/(-10)). Suppose -x = 4*z - 8*z, -z + 10 = 2*y. Is y at most as big as 1/3? False Let l be 16/40 - 2/10. Let d(w) = w**3 - 7*w**2 + 8*w - 9. Let q be d(6). Suppose -5*s + q*s + 2 = 0. Which is greater: l or s? s Suppose -g + 4*u = -417, 400 = g - u - 26. Let s = g + -4722/11. Which is bigger: -1 or s? s Let s = 7 - 4. Suppose g + 3*d + 1 = 0, -7*g + 3*g = s*d - 23. Suppose g*k = 3*k. Which is smaller: 0.2 or k? k Let n = 101 - 907/9. Let l = 25 + -16. Suppose 2*g = -7 - 3, d - l = 2*g. Which is greater: d or n? n Suppose 0 = 4*r + 4, -3*f + 2*f = 3*r + 8. Are f and -3 non-equal? True Let n = 5 + -10. Let w be n/(-1)*(2 + -5). Let f be (-6)/w*(-1)/1. Is 1 != f? True Let o be 5923/(-36) - (-2)/(-8). Suppose -9*p = -12*p + 495. Let c = p + o. Is c greater than -3/4? True Let z(n) = 5*n - 5. Let y be z(4). Suppose -2*s - y = -5*r + 2*s, -2*r + 4*s = 6. Which is greater: 5 or r? r Suppose -3*o - 8*a + 28 = -3*a, 0 = -2*o - 4*a + 22. Suppose 3*q + 12 = 5*x - o, -q - x = -1. Which is greater: 11/2 or q? 11/2 Suppose c - 3 = 2*c, h - 3*c - 8 = 0. Which is smaller: h or -2? -2 Let y = -12749 - -497176/39. Let n = -3/13 - y. Suppose 0*l + 2*l = -k - 1, 2*l - 19 = 3*k. Is n equal to l? False Let g = 0.1 - 0.05. Let a = -1 - -3. Let j = 2 - a. Which is bigger: j or g? g Let m = 0.05 - -0.95. Which is greater: -0.19 or m? m Let q = -23 - 8. Is q greater than -30? False Let h = -0.15 - -2.15. Let g = -7 + h. Which is smaller: g or 1? g Let t = -1 + 0.7. Let d = 0.3 + t. Let u = 0.5 - -0.5. Which is smaller: u or d? d Let q = 1183/180 - 1/1260. Is 8 greater than q? True Suppose -s = s. Let o(h) = h**2 - 3*h + 3. Let u(t) = -t - 5. Let p be u(-7). Let d be o(p). Does d = s? False Let n be (1 - 0)*(-4 + 4). Is n <= 1/21? True Let d(r) = r. Let i = 3 - 4. Let z be d(i). Let q be (z + -3)*7/4. Is -8 smaller than q? True Let f = 8 + -8. Are -1/22 and f equal? False Suppose 5*w + 29 = 94. Are w and 0 unequal? True Let t = 0.3 + -0.4. Let l = t + 0.1. Let c = -0.1 - l. Which is smaller: c or -0.2? -0.2 Suppose 4*i + 2*o = 28, -1 = -5*i - 3*o + 36. Is 24/5 at most i? True Let i be 2 + 4/4 - 6. Which is smaller: -1 or i? i Let w = -101 - -104. Suppose g + 11 = -3*r, -r - 1 - 5 = -2*g. Is r greater than w? False Let o = 76 + -72. Is 2 less than or equal to o? True Let m(u) = -u**3 - 7*u**2 - 5*u + 6. Suppose d + 3*p = 0, p - 12 = d - 2*p. Let i be m(d). Suppose -x - 5 = 4*x. Which is smaller: x or i? x Let p be ((-4)/3)/(-2)*6. Let x = -3 + 12. Suppose p*l - l = x. Is 2 not equal to l? True Suppose 0 = 3*q + 5*s - 10, 5*s - 30 = 3*q + 2*s. Let n = q - -5. Which is smaller: -2/9 or n? -2/9 Let c(v) = -v**3 + 6*v**2 - 3*v + 5. Let p be c(5). Let s be 18/(2*3/p). Let n be (-1)/(-4) + s/(-84). Which is bigger: n or -1? n Suppose 1 = 3*k + 7. Let x = -1 - k. Let q = 26 - 25. Is q not equal to x? False Suppose -6*y - 7 = 53. Is y at least -11? True Let b(i) = i**2 + 1. Let r be b(-1). Suppose -2*s = s + 2*n + 4, r*n = -4*s - 2. Is 2 bigger than s? False Let a be (-27)/(-63) - (-6)/(-14). Is a bigger than -3/5? True Let y be ((-2)/3)/(1 + 1). Suppose -5*v + 5*w = 0, -5*v - 2 + 10 = 3*w. Which is smaller: y or v? y Let w be (-18)/44*(1 + (-49)/(-21)). Which is greater: w or 0? 0 Suppose 2*o = -0*o + 4. Let y be 2*o + 1/1. Let z = -5 + y. Which is smaller: -2 or z? -2 Let s(d) = -d**3 + d**2. Let m be s(2). Which is smaller: -5 or m? -5 Let x(q) = -q + 21. Let f be x(16). Let w = -1 - -1. Suppose w*m + 5 = f*m. Is 1 at most as big as m? True Let j be (-2)/(-4)*12/(-21). Suppose t + 4 = -3*y, -y - 12 = -3*t + 6. Suppose r = -4*r + t. Is r >= j? True Suppose q - 5*q = 24. Let c(a) = a + 10. Let h be c(q). Suppose 6 - 2 = -h*x. Which is bigger: 2/7 or x? 2/7 Let o(d) = -d**2 - 6*d. Let u be o(-6). Let t be 1 - 21*(u - -1). Let y be ((-2)/t)/(2/4). Are -1 and y equal? False Let d = 0.1 + 0.9. Let c = d - -2. Let q = 6 + -6.1. Is q < c? True Let h = -527/2037 - -2/97. Is -1 smaller than h? True Suppose -33 = 6*w - 3*w. Let n = -6 - w. Let x(y) = y**3 + 6*y**2 - 29*y - 151. Let k be x(-7). Which is smaller: n or k? k Suppose 14 = -p - 4*z, 5*p + 0*z = 2*z - 4. Let k be 3 + (-1 - 3)*1. Which is smaller: k or p? p Let k = 22 - 40. Let j be (-2)/(-3) + (-6)/k. Is -1/4 bigger than j? False Let c = 107 + -114. Which is greater: 0.2 or c? 0.2 Let q = -18 - -12. Let x be 4/10 + q/15. Let v = 1 - 5. Is v at least x? False Let y = -1 - 0. Let f be 0/((-1)/y*-1). Is f less than or equal to -3/11? False Suppose 10*h = 5*h. Let j(v) = 3*v**2 - 2. Let l be j(2). Let x be (8/l)/((-2)/5). Is h < x? False Let t = 80 - 80. Is 2/25 not equal to t? True Suppose 0*z - 5 = 5*z. Is z at least as big as -3/47? False Let c be 5/(-30)*(-9)/(-12). Let g be (0 + 1)*(2 - 3). Which is bigger: g or c? c Let c(s) = 3*s + 23. Let g be c(-7). Which is smaller: g or -12? -12 Let m = -71 + 96.2. Let l = m + -25. Let g = 4/103 + -250/1133. Which is bigger: g or l? l Suppose -3*k + 3*v + 271 = v, 0 = 2*k - 5*v - 199. Suppose 3*h - 63 = 3*x, 5*h - 4*x - k = 22. Which is greater: h or -1? h Let b(p) = p**3 + 4*p**2 + 5*p. Let d be b(-5). Let y = -252/5 - d. Let m = -0.05 + 0.35. Which is smaller: m or y? y Let s be (-18)/(-5) + -2 + 48/20. Suppose -w + 2 + 0 = y, -46 = -5*y + 4*w. Which is smaller: s or y? s Suppose -2*d - d - 4*w - 113 = 0, 0 = -4*w - 20. Let g = -17158 + 154141/9. Let a = d - g. Are a and 0 nonequal? True Let f = 1.33 + -0.33. Which is greater: f or 0.1? f Suppose 5*t = t. Suppose 7*b - 5*n + 5 = 3*b, -4*b - 4*n + 4 = t. Is b <= 2/25? True Let c(v) = -v**2 - 11*v - 11. Let a be c(-10). Which is smaller: a or -2/75? a Let j(a) = -a. Let g be j(1). Is g at least as big as 2/7? False Let n = -2 + 4. Suppose n*l + 7*s = 2*s - 3, -4*l + 2 = 2*s. Which is smaller: 2/7 or l? 2/7 Suppose -2*o = -o - 4*d + 12, 2*o = -3*d + 31. Which is smaller: o or 7? 7 Suppose -6*x = -2*x - 12. Is x < 0? False Suppose 3 = 3*t - 4*q, -q = -3*t + 4*t - 1. Let u be t - 1 - (1 + -2). Let g be 7/u - (-7 + 10). Which is smaller
{ "pile_set_name": "DM Mathematics" }
ple of 4? False Does 139 divide 1698? False Is 32 a factor of 8672? True Does 39 divide 1581? False Is 15 a factor of 393? False Is 14 a factor of 4312? True Does 30 divide 674? False Is 2 a multiple of 2? True Is 804 a multiple of 67? True Does 85 divide 1360? True Is 45 a factor of 1253? False Does 15 divide 3060? True Is 9 a factor of 72? True Does 22 divide 15637? False Does 22 divide 89504? False Does 11 divide 13760? False Is 18 a factor of 281? False Is 709 a multiple of 46? False Is 1761 a multiple of 17? False Is 213 a multiple of 3? True Is 26 a factor of 1304? False Is 25 a factor of 5952? False Is 19 a factor of 9667? False Is 10 a factor of 6070? True Does 3 divide 151? False Is 89 a factor of 1068? True Is 34 a factor of 15110? False Does 263 divide 79935? False Is 27 a factor of 9936? True Does 16 divide 3667? False Is 37 a factor of 1555? False Is 10115 a multiple of 17? True Does 3 divide 136? False Does 9 divide 1733? False Does 23 divide 5888? True Is 1735 a multiple of 8? False Is 158 a factor of 15518? False Does 112 divide 15344? True Does 13 divide 3055? True Does 8 divide 1482? False Is 12 a factor of 2831? False Is 15692 a multiple of 237? False Is 3 a factor of 1467? True Is 17 a factor of 8517? True Is 11644 a multiple of 116? False Is 9 a factor of 1791? True Does 29 divide 25375? True Does 8 divide 1246? False Does 14 divide 616? True Is 82820 a multiple of 25? False Is 21095 a multiple of 78? False Is 41 a multiple of 2? False Is 7663 a multiple of 79? True Is 56 a factor of 224? True Is 60 a factor of 12724? False Does 97 divide 19497? True Does 15 divide 1989? False Is 1679 a multiple of 52? False Is 4416 a multiple of 16? True Is 3960 a multiple of 55? True Is 11 a factor of 3438? False Is 54098 a multiple of 262? False Is 2610 a multiple of 29? True Is 17575 a multiple of 95? True Does 27 divide 29? False Is 383 a multiple of 87? False Is 21 a factor of 41622? True Is 7544 a multiple of 9? False Does 9 divide 972? True Does 10 divide 4106? False Does 28 divide 3976? True Is 6 a factor of 10? False Does 77 divide 15770? False Is 143 a factor of 25597? True Does 2 divide 186? True Is 4061 a multiple of 64? False Does 13 divide 51762? False Does 268 divide 111220? True Is 5 a factor of 15? True Is 141 a factor of 94229? False Is 1458 a multiple of 9? True Is 1725 a multiple of 115? True Is 13 a factor of 40? False Is 13 a factor of 20997? False Does 13 divide 364? True Is 2808 a multiple of 8? True Is 383 a multiple of 70? False Is 7200 a multiple of 50? True Does 12 divide 1284? True Is 39 a multiple of 15? False Is 49 a factor of 6909? True Does 29 divide 8940? False Does 12 divide 23854? False Is 64 a factor of 128? True Is 60 a multiple of 5? True Does 51 divide 51? True Is 14 a factor of 905? False Is 5947 a multiple of 101? False Is 38 a factor of 228? True Is 18 a factor of 792? True Is 2653 a multiple of 28? False Is 9 a factor of 1773? True Does 6 divide 159? False Is 1086 a multiple of 6? True Is 22 a factor of 444? False Is 3925 a multiple of 10? False Does 16 divide 1279? False Is 42 a factor of 1428? True Is 10 a factor of 2627? False Does 6 divide 596? False Does 348 divide 96301? False Does 15 divide 5081? False Is 1637 a multiple of 45? False Is 12 a factor of 9624? True Is 22 a factor of 1428? False Is 936 a multiple of 6? True Does 15 divide 860? False Is 39 a factor of 7995? True Does 8 divide 979? False Is 16 a factor of 30512? True Does 87 divide 12147? False Is 927 a multiple of 46? False Is 624 a multiple of 12? True Is 670 a multiple of 67? True Does 28 divide 6328? True Is 1437 even? False Is 2115 a multiple of 6? False Is 42 a factor of 210? True Is 973 a multiple of 7? True Does 25 divide 325? True Is 147 a multiple of 4? False Is 37288 a multiple of 118? True Is 6752 a multiple of 32? True Is 37 a factor of 6660? True Is 12 a factor of 15228? True Is 39 a factor of 11440? False Is 6151 a multiple of 72? False Is 3927 a multiple of 9? False Is 577 a multiple of 10? False Is 355 a factor of 117505? True Is 10 a factor of 13010? True Is 33087 a multiple of 41? True Is 23 a factor of 15617? True Is 163 a factor of 29183? False Is 102 a factor of 6992? False Does 3 divide 243? True Is 42 a factor of 2880? False Is 16512 a multiple of 50? False Does 23 divide 825? False Is 3 a factor of 77? False Does 191 divide 28267? False Is 14817 a multiple of 154? False Is 11 a factor of 3208? False Is 3701 even? False Is 18 a factor of 1305? False Does 177 divide 26697? False Is 7 a factor of 379? False Is 1278 a multiple of 6? True Is 38851 a multiple of 14? False Is 3038 a multiple of 7? True Does 13 divide 23125? False Is 2 a factor of 8010? True Is 2358 a multiple of 18? True Does 12 divide 19752? True Does 18 divide 3368? False Is 3781 a multiple of 199? True Is 24534 a multiple of 141? True Does 11 divide 4488? True Is 7 a factor of 9142? True Does 41 divide 16441? True Is 24 a factor of 4824? True Does 4 divide 1124? True Does 16 divide 9187? False Is 3 a factor of 272? False Is 7 a factor of 348? False Is 13 a factor of 18590? True Does 9 divide 1993? False Is 13 a multiple of 13? True Does 18 divide 2880? True Is 2380 a multiple of 34? True Is 12633 a multiple of 13? False Does 17 divide 6649? False Is 87 a factor of 522? True Is 12 a factor of 73? False Does 15 divide 1440? True Does 9 divide 9126? True Is 5608 a multiple of 4? True Is 200 a multiple of 13? False Is 6586 a multiple of 35? False Is 65 a multiple of 5? True Is 285 a multiple of 4? False Does 19 divide 2059? False Is 22 a factor of 726? True Does 33 divide 37995? False Does 73 divide 219? True Is 110 a multiple of 55? True Does 109 divide 49750? False Does 22 divide 4966? False Does 245 divide 4520? False Is 24 a factor of 9960? True Is 7435 a multiple of 26? False Is 55665 a multiple of 15? True Is 2157 a multiple of 9? False Is 5428 a multiple of 6? False Does 14 divide 90? False Is 85 a factor of 3740? True Is 854 a multiple of 61? True Is 8 a factor of 384? True Is 6372 a multiple of 43? False Is 8 a factor of 112? True Is 5 a factor of 11550? True Does 42 divide 24253? False Is 16124 a multiple of 16? False Does 12 divide 1116? True Does 21 divide 7476? True Is 2791 a multiple of 12? False Is 837 a multiple of 27? True Is 6 a factor of 3672? True Is 7 a factor of 687? False Is 3 a factor of 11491? False Is 1911 a multiple of 7? True Does 84 divide 84? True Is 1092 a multiple of 52? True Is 42 a factor of 2127? False Does 19 divide 52307? True Does 8 divide 816? True Is 16190 a multiple of 17? False Is 57 a factor of 27132? True Is 11721 a multiple of 21? False Does 4 divide 5823? False Is 258 a multiple of 4? False Is 1800 a multiple of 180? True Is 7 a factor of 2968? True Does 39 divide 1153? False Does 46 divide 736? True Does 21 divide 38346? True Is 3564 a multiple of 198? True Is 12 a factor of 3298? False Is 140 a multiple of 14? True Does 8 divide 13266? False Does 35 divide 6088? False Does 25 divide 1750? True Is 48 a factor of 1932? False Is 42 a factor of 1646? False Does 4 divide 338? False Does 96 divide 24768? True Is 3879 a multiple of 9? True Does 16 divide 4592? True Does 26 divide 1029? False Is 169 a factor of 17576? True Is 203 a multiple of 2? False Does 9 divide 369? True Does 83 divide 1162? True Is 37 a factor of 4588? True Is 13 a factor of 8632? True Is 451 a multiple of 41? True Is 9009 a multiple of 3? True Is 864 a multiple of 48? True Does 32 divide 20320? True Is 12 a factor of 1080? True Is 213 a multiple of 4? False Does 34 divide 85816? True Does 21 divide 8274? True Is 5 a factor of 21756? False Is 57 a multiple of 19? True Does 31 divide 36? False Is 17464 a multiple of 156? False Does 13 divide 1326? True Is 7 a factor of 11550? True Is 150 a factor of 3836? False Is 3008 a multiple of 15? False Does 15 divide 1557? False Is 14 a factor of 3653? False Is 4182 a multiple of 41? True Is 24 a factor of 240? True Does 5 divide 4520? True Does 12 divide 264? True Is 19 a factor of 380? True Does 3 divide 1381? False Is 30 a factor of 6082? False Does 2 divide 32? True Is 90 a multiple of 5? True Does 11 divide 7812? False Does 17 divide 2410? False Does 5 divide 3405? True Is 604 a mult
{ "pile_set_name": "DM Mathematics" }
203 minutes after 1:45 AM? 5:08 AM How many minutes are there between 11:51 PM and 1:58 AM? 127 What is 320 minutes after 8:38 AM? 1:58 PM What is 564 minutes before 10:32 PM? 1:08 PM How many minutes are there between 2:00 AM and 12:25 PM? 625 What is 265 minutes before 1:49 PM? 9:24 AM What is 303 minutes before 12:23 PM? 7:20 AM What is 503 minutes after 6:23 PM? 2:46 AM How many minutes are there between 10:06 AM and 4:01 PM? 355 What is 96 minutes before 1:23 PM? 11:47 AM What is 549 minutes after 5:20 PM? 2:29 AM How many minutes are there between 3:22 PM and 11:14 PM? 472 What is 155 minutes after 11:32 AM? 2:07 PM What is 175 minutes before 12:32 AM? 9:37 PM How many minutes are there between 6:58 AM and 1:23 PM? 385 What is 559 minutes before 4:51 AM? 7:32 PM How many minutes are there between 1:08 AM and 12:33 PM? 685 What is 289 minutes before 8:08 AM? 3:19 AM What is 27 minutes before 10:35 PM? 10:08 PM How many minutes are there between 1:17 AM and 3:14 AM? 117 What is 152 minutes after 8:42 AM? 11:14 AM How many minutes are there between 3:19 AM and 2:02 PM? 643 What is 320 minutes before 6:28 PM? 1:08 PM How many minutes are there between 7:28 PM and 12:19 AM? 291 How many minutes are there between 5:23 PM and 4:55 AM? 692 How many minutes are there between 8:13 AM and 7:52 PM? 699 What is 470 minutes before 1:59 PM? 6:09 AM What is 144 minutes after 7:51 PM? 10:15 PM What is 641 minutes before 8:52 AM? 10:11 PM What is 480 minutes after 9:49 AM? 5:49 PM How many minutes are there between 8:04 PM and 4:50 AM? 526 What is 710 minutes after 2:00 PM? 1:50 AM What is 700 minutes before 12:46 PM? 1:06 AM What is 678 minutes after 4:04 AM? 3:22 PM What is 406 minutes before 7:29 PM? 12:43 PM How many minutes are there between 5:02 AM and 6:52 AM? 110 How many minutes are there between 3:51 PM and 12:02 AM? 491 How many minutes are there between 2:54 AM and 7:08 AM? 254 What is 458 minutes after 4:37 AM? 12:15 PM How many minutes are there between 12:25 PM and 7:26 PM? 421 What is 313 minutes after 5:35 PM? 10:48 PM How many minutes are there between 11:58 PM and 2:45 AM? 167 What is 82 minutes after 11:37 PM? 12:59 AM How many minutes are there between 5:38 AM and 7:15 AM? 97 How many minutes are there between 3:02 AM and 8:02 AM? 300 How many minutes are there between 8:51 AM and 4:45 PM? 474 How many minutes are there between 9:43 PM and 12:54 AM? 191 What is 56 minutes after 7:48 AM? 8:44 AM What is 456 minutes after 5:04 AM? 12:40 PM What is 195 minutes before 2:24 PM? 11:09 AM How many minutes are there between 1:31 PM and 2:22 PM? 51 What is 120 minutes before 7:12 PM? 5:12 PM What is 646 minutes before 2:45 PM? 3:59 AM How many minutes are there between 12:26 AM and 10:09 AM? 583 What is 599 minutes after 7:09 PM? 5:08 AM What is 423 minutes before 3:16 PM? 8:13 AM What is 559 minutes after 12:14 PM? 9:33 PM What is 149 minutes after 4:43 AM? 7:12 AM What is 448 minutes before 5:12 PM? 9:44 AM What is 9 minutes after 6:23 AM? 6:32 AM What is 679 minutes after 6:09 AM? 5:28 PM How many minutes are there between 4:06 AM and 11:53 AM? 467 What is 458 minutes before 1:09 PM? 5:31 AM How many minutes are there between 2:14 PM and 7:10 PM? 296 What is 324 minutes after 5:32 PM? 10:56 PM How many minutes are there between 4:08 AM and 5:51 AM? 103 What is 152 minutes after 12:17 PM? 2:49 PM What is 11 minutes after 3:24 PM? 3:35 PM How many minutes are there between 2:39 PM and 1:42 AM? 663 What is 102 minutes before 6:31 PM? 4:49 PM What is 331 minutes after 7:43 PM? 1:14 AM What is 485 minutes before 6:08 AM? 10:03 PM How many minutes are there between 6:54 PM and 10:45 PM? 231 What is 652 minutes after 1:08 PM? 12:00 AM How many minutes are there between 4:18 PM and 11:00 PM? 402 How many minutes are there between 4:07 AM and 1:25 PM? 558 What is 592 minutes after 6:09 PM? 4:01 AM How many minutes are there between 12:21 PM and 9:53 PM? 572 How many minutes are there between 11:34 AM and 4:08 PM? 274 How many minutes are there between 12:47 PM and 2:57 PM? 130 How many minutes are there between 8:08 PM and 9:25 PM? 77 What is 675 minutes before 4:05 AM? 4:50 PM What is 11 minutes after 4:15 PM? 4:26 PM What is 491 minutes after 2:09 AM? 10:20 AM How many minutes are there between 6:05 AM and 3:38 PM? 573 What is 89 minutes after 7:39 PM? 9:08 PM How many minutes are there between 5:01 AM and 8:05 AM? 184 What is 641 minutes after 9:56 AM? 8:37 PM How many minutes are there between 5:09 PM and 9:20 PM? 251 How many minutes are there between 12:12 AM and 12:24 AM? 12 What is 302 minutes before 3:11 PM? 10:09 AM How many minutes are there between 3:04 AM and 11:50 AM? 526 How many minutes are there between 1:58 PM and 12:14 AM? 616 How many minutes are there between 4:25 AM and 9:28 AM? 303 What is 505 minutes after 12:51 PM? 9:16 PM What is 317 minutes after 7:52 PM? 1:09 AM What is 525 minutes after 4:24 AM? 1:09 PM What is 202 minutes after 5:38 AM? 9:00 AM How many minutes are there between 10:20 AM and 7:12 PM? 532 What is 627 minutes before 11:34 AM? 1:07 AM What is 260 minutes after 5:04 AM? 9:24 AM How many minutes are there between 1:11 PM and 12:41 AM? 690 What is 327 minutes after 12:05 PM? 5:32 PM How many minutes are there between 11:22 AM and 9:21 PM? 599 How many minutes are there between 7:13 PM and 11:50 PM? 277 How many minutes are there between 2:57 AM and 5:22 AM? 145 What is 309 minutes after 6:56 PM? 12:05 AM How many minutes are there between 10:15 PM and 6:39 AM? 504 What is 508 minutes before 9:52 PM? 1:24 PM What is 260 minutes after 7:05 PM? 11:25 PM How many minutes are there between 2:14 AM and 6:05 AM? 231 How many minutes are there between 2:58 PM and 10:21 PM? 443 How many minutes are there between 6:07 AM and 8:14 AM? 127 What is 685 minutes after 6:15 PM? 5:40 AM How many minutes are there between 9:20 AM and 8:22 PM? 662 What is 657 minutes before 4:59 AM? 6:02 PM How many minutes are there between 2:57 AM and 12:15 PM? 558 What is 107 minutes before 10:25 PM? 8:38 PM How many minutes are there between 7:24 AM and 6:43 PM? 679 What is 56 minutes before 3:36 PM? 2:40 PM What is 325 minutes after 2:55 AM? 8:20 AM How many minutes are there between 8:34 PM and 7:10 AM? 636 What is 599 minutes after 5:30 AM? 3:29 PM What is 573 minutes before 1:31 AM? 3:58 PM What is 211 minutes after 6:00 AM? 9:31 AM How many minutes are there between 7:39 PM and 1:55 AM? 376 How many minutes are there between 8:39 PM and 1:04 AM? 265 What is 63 minutes before 10:03 AM? 9:00 AM How many minutes are there between 9:31 AM and 4:39 PM? 428 What is 211 minutes before 6:08 PM? 2:37 PM How many minutes are there between 11:48 AM and 10:31 PM? 643 How many minutes are there between 8:43 AM and 7:24 PM? 641 What is 502 minutes after 12:53 PM? 9:15 PM What is 167 minutes before 11:40 PM? 8:53 PM What is 195 minutes before 8:26 AM? 5:11 AM How many minutes are there between 9:48 PM and 2:18 AM? 270 How many minutes are there between 5:57 PM and 12:38 AM? 401 How many minutes are there between 5:27 PM and 3:14 AM? 587 What is 597 minutes before 4:51 PM? 6:54 AM What is 153 minutes before 7:28 AM? 4:55 AM What is 655 minutes before 3:04 AM? 4:09 PM What is 246 minutes before 12:08 AM? 8:02 PM How many minutes are there between 12:30 PM and 11:57 PM? 687 What is 552 minutes before 4:10 PM? 6:58 AM What is 207 minutes before 5:02 PM? 1:35 PM What is 552 minutes after 11:24 AM? 8:36 PM What is 130 minutes after 7:36 PM? 9:46 PM What is 462 minutes before 8:09 PM? 12:27 PM How many minutes are there between 10:21 AM and 2:24 PM? 243 What is 318 minutes after 6:09 PM? 11:27 PM What is 98 minutes before 5:44 AM? 4:06 AM How many minutes are there between 10:29 AM and 6:30 PM? 481 What is 700 minutes before 11:03 AM? 11:23 PM How many minutes are there between 11:04 PM and 2:21 AM? 197 What is 303 minutes before 10:56 AM? 5:53 AM How many minutes are there between 1:04 AM and 4:05 AM? 181 What is 223 minutes before 6:13 PM? 2:30 PM What is 51 minutes after 3:24 AM? 4:15 AM What is 564 minutes after 10:34 AM? 7:58 PM How many minutes are there between 12:57 PM and 10:13 PM? 556 What is 524 minutes before 4:00 AM? 7:16 PM How many minu
{ "pile_set_name": "DM Mathematics" }
f = -283.0217878104 + d. Let i = f + 283. What is i rounded to five dps? 0.00012 Let s = -3617204 + 9067204. Suppose 0*j = 5*j - s. What is j rounded to the nearest 1000000? 1000000 Suppose 3 + 5 = -2*z. Let g = z - -7. Suppose j - 2*l + 875180 = 215176, g*l = 2*j + 1320006. Round j to the nearest one hundred thousand. -700000 Let j = 498064.172094 + -498063. Let t = 0.172182 - j. Let f = -1 - t. Round f to five decimal places. -0.00009 Suppose x = 3*p - 47931040, -2*p + x = -21719674 - 10234351. Let g = p - 9277015. Round g to the nearest 1000000. 7000000 Let p = 0.38 + -0.81. Let t = p + 0.430027. Round t to six dps. 0.000027 Let c(o) = 321 - 4*o - 2*o**2 + 13*o - 209*o**3 - 339. Let a be c(-6). What is a rounded to the nearest 10000? 50000 Let p = -0.0186 + -2.2814. Let b = 3 - 2.9. Let z = p + b. What is z rounded to the nearest integer? -2 Let q = 80.417 + -0.517. What is q rounded to the nearest ten? 80 Let q = 8 - 9.9. Let n = -1.844 - q. Let r = n + -0.0593. What is r rounded to three dps? -0.003 Suppose 2 = -3*w - t, 4*w + t + 0 = -3. Let z be (0 + 2)*2676324 + w. Let y = z - 9052647. Round y to the nearest 1000000. -4000000 Let y = -51.73 - -52. Let n = -0.269999165 + y. Round n to 7 dps. 0.0000008 Let l be 1 - 4 - -11 - 3. Let a = -60126 + 132760. Suppose 0 = -l*c + 182634 - a. Round c to the nearest 10000. 20000 Let s = 19355912 + -845912. Round s to the nearest one million. 19000000 Let h = 5.14 + -5.1. Let i = h - 0.051. What is i rounded to two dps? -0.01 Let k = -168 + 42. Let g = k + 126.0000073. Round g to 6 decimal places. 0.000007 Let c = -0.09109 + 0.0904. What is c rounded to 5 dps? -0.00069 Let i = -66.999812 - -67. What is i rounded to 4 decimal places? 0.0002 Let c = -47.3804 + 47.2. What is c rounded to two decimal places? -0.18 Let t = 2.428 + 0.108. What is t rounded to 1 dp? 2.5 Let l = -729 - -453. Let k = l - 285. Let s = k + 585.3. Round s to 0 dps. 24 Let j = 680.625 + -681.659381. Let o = -0.89437 - j. Let p = o + -0.14. What is p rounded to 6 decimal places? 0.000011 Let c = -279511.02925 - -279446. Let d = 65.1 + c. Let f = -0.07 + d. What is f rounded to four dps? 0.0008 Let n = 829.00533 - 829. What is n rounded to four decimal places? 0.0053 Let w be (-5 - -4)*1 + 1. Let t be w/(0 + -1) + 6200. Round t to the nearest one thousand. 6000 Let a = -0.1303 + 0.1303009363. Round a to seven decimal places. 0.0000009 Suppose -4*t = 2*l - 20368, 0 = 3*t - 3*l - 16851 + 1575. Let u = t - 3592. Round u to the nearest 1000. 2000 Let x = -917.2094 - -916. Let f = 1.19 + x. Round f to three decimal places. -0.019 Let n = 0.3020223 - 0.302. What is n rounded to six decimal places? 0.000022 Let g = 297.9999566 + -298. Round g to five dps. -0.00004 Let v = 211812407 + -131982407. What is v rounded to the nearest one million? 80000000 Let s be (-1)/(-4) + 4425/(-4). Let n = s + 696. What is n rounded to the nearest 100? -400 Suppose 0 = 3*l + 10*v - 12*v + 3270010, -2*l + 3*v - 2180015 = 0. Round l to the nearest ten thousand. -1090000 Let o = -731.9 - -451. What is o rounded to the nearest 100? -300 Let x = 2595.8016701 + -2554.80168. Let v = x - 41. Round v to 6 decimal places. -0.00001 Let y = 134.199 + -0.199. Let r = y + -133.17. What is r rounded to 1 dp? 0.8 Let u = -150.80005228 + 150.8. Round u to 6 decimal places. -0.000052 Let b = -82.5000092 - -82.5. Round b to 5 decimal places. -0.00001 Let y = -0.098 - 0.042. Let k = y - -0.140001. Round k to 5 decimal places. 0 Let q = 138.300109 + -0.305809. Let i = -138 + q. Round i to three dps. -0.006 Let l = 1599.1 + -1759. Round l to the nearest 10. -160 Let g = -231.55 + 241. Let t = g - 10.7098. Let q = 1.27 + t. What is q rounded to three decimal places? 0.01 Let n = -0.882 - 0.03. Let v = n - -0.032. Let r = v - -0.41. Round r to 1 decimal place. -0.5 Let l(z) = -4*z - 30. Let v be l(-8). Suppose v*c = 4*k - 2*k - 17139996, -3*k = -5*c - 42849994. What is c rounded to the nearest one million? -9000000 Let d = 96.456 + -96. Let p = 63.4 - 63. Let r = p - d. What is r rounded to two dps? -0.06 Let s = 24997118 + -25002345.8935. Let i = s - -5230. Let b = 2.1 - i. Round b to three dps. -0.007 Suppose 23*q + 4*z = 28*q + 1344988, 2*q + 538015 = -5*z. Round q to the nearest 100000. -300000 Let n = 32.723 - -385.494. Let c = -418 + n. What is c rounded to 2 decimal places? 0.22 Let l = 548.000003808 - 548. Round l to 7 decimal places. 0.0000038 Let b = -852059.799926 - -852088.8. Let w = 19 - 48. Let x = b + w. What is x rounded to five decimal places? 0.00007 Let d be -45812 + 3 - (-11 - -12). Suppose -5*x - 40548 + 386098 = 0. Let q = d + x. What is q rounded to the nearest one thousand? 23000 Let l = 14.66211 - 14.68. What is l rounded to 2 decimal places? -0.02 Let o = 44234 + -29234. Suppose -o = 7*g - g. What is g rounded to the nearest 1000? -3000 Let w be 20*-3*4/(-24). Suppose -x = -3*x - w, -4*y = -4*x - 464. What is y rounded to the nearest ten? 110 Let b(d) = -3*d + 1. Let x be b(-1). Let l(c) = -192*c**3 + c**2 - 8*c + 4. Let v be l(x). Round v to the nearest 1000. -12000 Let n = 1085 + -661. Suppose -5*i - n = -3*q, 4*q + q + 440 = -5*i. Round i to the nearest ten. -90 Let b = 0.71898927 + -0.719. What is b rounded to 6 dps? -0.000011 Let i = 29185.64 + -29198.639876. Let f = i - -13. Round f to 5 dps. 0.00012 Let t = 9 + 16. Let x = t - 25. Let s = 0.4 + x. Round s to 1 decimal place. 0.4 Let l = 4851936 - 1510551. Suppose -l = 4*w - w. Let z = 5013795 + w. What is z rounded to the nearest one million? 4000000 Let j = -1716.12095 + -0.07905. What is j rounded to the nearest 100? -1700 Let w(m) be the second derivative of -15248*m**5/5 + m**4/2 - 7*m**3/6 + 3*m**2 + 9*m. Let a be w(5). Let c = -11123879 - a. Round c to the nearest 1000000. -4000000 Let n = -176.12284 + 197.123. Let v = 7 - -14. Let s = v - n. What is s rounded to four dps? -0.0002 Let k = -7932.4643 + 7853.46. Let b = 79.316 - 0.316. Let j = b + k. What is j rounded to 3 dps? -0.004 Let m = -38.584 + -3.386. Let b = -44.6 - m. What is b rounded to 1 dp? -2.6 Suppose 16*o - 11*o - 18639 = 4*v, v + 4656 = 5*o. Round v to the nearest one hundred. -4700 Let x(d) = -644*d**2 + 7*d. Let q(t) = -2574*t**2 + 30*t - 1. Let s(j) = 6*q(j) - 26*x(j). Let m = 5 + -8. Let y be s(m). Round y to the nearest 1000. 12000 Let k = 25.07 - 25. Let p = -0.06999978 + k. Round p to seven dps. 0.0000002 Let t = -0.035 + 0.09. Let q = t - 0.0549889. Round q to six decimal places. 0.000011 Let o = 626.8652 + -627. What is o rounded to two decimal places? -0.13 Let s = 4.5 - 4.475. Let u = -0.058 + s. What is u rounded to 2 dps? -0.03 Let k = -0.071956 - -0.072. Round k to six dps. 0.000044 Let p(i) = -6999998*i - 2. Let m be p(-2). Suppose m = -0*b + 4*b - 2*g, -5*b + g + 17499997 = 0. Suppose -2*s - b = 3*s. Round s to the nearest 1000000. -1000000 Let l(w) = 4 - 41398*w - 10 - 8 - 330271*w. Let f be -3 - (-2 + 5/1). Let v be l(f). Round v to the nearest one hundred thousand. 2200000 Let t = -0.00935 - -0.00937033. Round t to 6 decimal places. 0.00002 Suppose 2*v + 8417 = 4*z + 24841, 0 = 3*v - 6. Let d = -4195 + z. Round d to the nearest 1000. -8000 Let c = 1449807548 - 1449807773.0000131. Let q = 225 + c. What is q rounded to 6 dps? -0.000013 Let y = 992 + -991.99022. Round y to three decimal places. 0.01 Let n = 86.38723 + -86.4. Round n to three dps. -0.013 Let p = 29445105 - 29445174.00000768. Let k = p - -69. What is k rounded to 6 decimal places? -0.000008 Let p = 2.799999568 - 2.8. What is p rounded to seven dps? -0.0000004 Let y = -7.106 - 0.804. Let a = y - -0.61. Round a to 0 dps. -7 Let h = -134.94 - -135. What is h rounded to 1 decimal place? 0.1 Let l = -2499 - -2499.000000092. Round l to 7 decimal places. 0.0000001 Let l = -3360.0002806 - -3360. Round l to five dps. -0.00028 Let d = -40190101473 - -40190092540.03309975. Let f = d - -8911.9669. Let p = -21 - f. Round p to 7 decimal places. 0.0000003 Let s = -402 + 402.001896. What is s rounded to four dps? 0.0019 Let t = -9.71 + 4.44. Let w = t - -3.28. Round w to one dp. -2 Let s = -6.27 - -7.58. What is s rounded to the nearest 10? 0 Suppose 3*n + 4*a = 14103, -3*n + 14085 = -3*a + a. Suppose 2*t = -3*u + n, -11749 = -5*t - 2*u + u. What is t ro
{ "pile_set_name": "DM Mathematics" }
2/25)/x*x))))/x))**(-39) assuming x is positive. x**(-10803/25) Simplify a*a**0*a**(-5)/a*(a**(-6)*a)/a*a*a**2 assuming a is positive. a**(-8) Simplify (r/(r**(-19)/r*r))/(r*r*r**(-2/13)/r*r*r) assuming r is positive. r**(223/13) Simplify (y/(y*y/(y*y**(-3)))*y/y**9)/((y/y**(1/10))/(y/y**(-8))) assuming y is positive. y**(-29/10) Simplify (((h*h/(h**(2/13)/h))/h)/h)/(h/h**5) assuming h is positive. h**(63/13) Simplify (((m/(m*m*m**(2/5)*m))/m)/m*m*m*m**4)/(m**(-5)/(m*m/(m**(-2/23)/m*m))) assuming m is positive. m**(999/115) Simplify ((d*d*d/(d*d*(d*d**3*d)/d))**(-2/25))**(-18) assuming d is positive. d**(-108/25) Simplify n**(1/8)/n**(-4)*(n*n**(-5)/n*n)/(n**(-5)/n*n) assuming n is positive. n**(41/8) Simplify ((x*x**(-6)/x)/x**8)**(-11) assuming x is positive. x**154 Simplify ((s/s**1)/s*s/s**2*s)**32 assuming s is positive. s**(-32) Simplify c**(-2/3)/(c*(c*c/c**(-1/24))/c) assuming c is positive. c**(-65/24) Simplify (m/(m/(m**3*m)))/m*m**3*(m*m**(-1/4))/m**0 assuming m is positive. m**(27/4) Simplify (u**(-2/7)/(u**1*u*u))**(-1/15) assuming u is positive. u**(23/105) Simplify (u**(2/7)*u)**(1/9)*u**1*u/u**(3/2) assuming u is positive. u**(9/14) Simplify x*x/(x*(x*x/(x**(-4)*x))/x)*x*x**(-5)*(x/x**0)/(x**(1/3)/x*x) assuming x is positive. x**(-19/3) Simplify (x**(-1/3))**(-2) assuming x is positive. x**(2/3) Simplify (d*d*(d/(d*d**0))/d*d*d**(4/3))/(d**(-1/2))**(-4/7) assuming d is positive. d**(64/21) Simplify ((d/(d/(d/(d**(-1)/d*d)*d)*d))/((d*d*d*d*d**8*d)/d))**(-2/69) assuming d is positive. d**(20/69) Simplify a**(-9)/(a*a**5)*(a*a/(a/(a**(-2/35)*a)))/(a*a/(((a/(a**(6/7)*a))/a)/a)) assuming a is positive. a**(-627/35) Simplify (f**1)**(-44)/(f**(-6)*f**6*f) assuming f is positive. f**(-45) Simplify (h**(-9))**(-4) assuming h is positive. h**36 Simplify (c**(-5)*c*c/(c*c**(-2/25)))/(c*(c*c**3)/c*(c*c/c**(-1/3))/c) assuming c is positive. c**(-694/75) Simplify (h*h*h**6/h*h)/h**(-8)*(h*h**(-6)*h)/((h*h/(h**(-1/3)/h*h)*h)/h) assuming h is positive. h**(29/3) Simplify (c**9/c)**(-49) assuming c is positive. c**(-392) Simplify (m**3)**(5/2)*(m*m*m**(-3/4))/((m/(m/m**3*m*m))/m) assuming m is positive. m**(35/4) Simplify ((t**(1/2)*t)/t)**48/(t**6/(t/(t/t**(-5)))) assuming t is positive. t**13 Simplify ((d*d**(1/3))**(-3/4))**(2/27) assuming d is positive. d**(-2/27) Simplify (l*l**(-2))/l*(l*l**(4/7))/l*(l*l**(-1))**33 assuming l is positive. l**(-10/7) Simplify (x/x**(3/4))**25 assuming x is positive. x**(25/4) Simplify ((b/(b*b**(-1/13)))/b)/b**3 assuming b is positive. b**(-51/13) Simplify ((v/(v**17*v))/v)/((v**2/v*v)/v) assuming v is positive. v**(-19) Simplify ((f*(f**(-29)/f*f)/f)/f)/f**0 assuming f is positive. f**(-30) Simplify ((((v*v/(v*v*v**(-2))*v)/v)/v)/(v**(3/4)/v*v))**(-46) assuming v is positive. v**(-23/2) Simplify (y**21/(y*y*(y**0*y)/y))**(-50) assuming y is positive. y**(-950) Simplify (f**(-1/9))**(-8) assuming f is positive. f**(8/9) Simplify g**(-18)*g**(15/8) assuming g is positive. g**(-129/8) Simplify (q**0/(q/q**(-1)))/(q**1/q**(1/4)) assuming q is positive. q**(-11/4) Simplify ((n/(n*n**0*n))/n)**(-8)*(n/n**(-1/7))/(n*n/(n**(-1)*n)) assuming n is positive. n**(106/7) Simplify (((a**(-1/9)/a)/a)/a)/(a*a**17) assuming a is positive. a**(-190/9) Simplify (s*s**0)**(23/2)*s*s**(3/5)*s/(s*s**8/s*s) assuming s is positive. s**(51/10) Simplify (v**(17/3)/v)/(v*v**19*v) assuming v is positive. v**(-49/3) Simplify (d*d/d**5*d*(d**(-4)/d)/d)/(d**(-3)/(d*d*((d*d*d*d/(d*(d/(d**(-1/3)/d))/d))/d)/d)) assuming d is positive. d**(-10/3) Simplify (w*w/w**(2/5))**(-5/3)*w**(-5/2)/(w**(-6)/w) assuming w is positive. w**(11/6) Simplify (d/(d**(-1/5)*d)*d*d*d*d*d/(d*d**(3/13))*d)**(8/11) assuming d is positive. d**(2584/715) Simplify (g**(-1/2)/((g**(-2)/g)/g))/(g**(-1)*g*g/(g*g/((g*g/g**6)/g*g)*g)*g) assuming g is positive. g**(17/2) Simplify h**(-1/4)/(h/(h/h**(-2/25)*h))*(h**2)**7 assuming h is positive. h**(1483/100) Simplify (d/d**(2/33))/d**(-3/7) assuming d is positive. d**(316/231) Simplify (((w**(-1/25)*w*w)/w)/w**0)**(1/53) assuming w is positive. w**(24/1325) Simplify ((y*y**(-11/2)*y*y)/y)/(y*y/(y*y/(y*y**4/y*y)*y)) assuming y is positive. y**(-15/2) Simplify a*a*a*a*a**(6/17)*a*(a*(a*(a*a**(-13)/a*a)/a*a*a)/a)/a assuming a is positive. a**(-96/17) Simplify (w/(w**(-4/5)/w))/(w*w**27) assuming w is positive. w**(-126/5) Simplify ((r*r**1)/r*r**(2/5))/((r/((r*r**1)/r))/(r**(-5)*r)) assuming r is positive. r**(-13/5) Simplify (p*p**(-3/2)/p)/(p/(p*p**(-1/7))) assuming p is positive. p**(-23/14) Simplify v**(1/4)*v**(1/4)*v**(2/11)*v**(2/11) assuming v is positive. v**(19/22) Simplify (w**(7/6)*w)/(w*w**(-15)*w) assuming w is positive. w**(91/6) Simplify r**21*r/(r*(r*r**(-6))/r) assuming r is positive. r**27 Simplify (j/j**4*j**(2/11)/j)**(-42) assuming j is positive. j**(1764/11) Simplify (w*w**(-11))/(w/w**(42/5)) assuming w is positive. w**(-13/5) Simplify (((x**(2/11)/x)/x)**25)**(-18) assuming x is positive. x**(9000/11) Simplify (w/w**(2/13)*w*w)/w*w**(1/4)*((w*w**(-1/3)/w*w)/w)/w*w/(w*w**(-11)) assuming w is positive. w**(1835/156) Simplify ((g**(2/7))**23)**(-7) assuming g is positive. g**(-46) Simplify ((c*(c**(-7/3)*c)/c)/c)**(-6) assuming c is positive. c**14 Simplify (q*q**(2/5)*q**(-6/11))/((q**(-4)*q*q)/q**(1/8)) assuming q is positive. q**(1311/440) Simplify u/(u/(u**(2/25)/u))*u/(u*u**(-29)) assuming u is positive. u**(702/25) Simplify ((h/((h*h**(-1/3)/h)/h))**(-45))**(-4/9) assuming h is positive. h**(140/3) Simplify (i*i**(-1))**(2/23)*i**3*i*i/i**(2/5) assuming i is positive. i**(23/5) Simplify ((n*n**(1/8)/n*n)/n)/(n/n**(-6))*(n**(-2/7))**(-4/13) assuming n is positive. n**(-4941/728) Simplify y**(-3/16)/y**15 assuming y is positive. y**(-243/16) Simplify ((((k*k/k**2)/k)/k)**(-6/11))**(-27) assuming k is positive. k**(-324/11) Simplify (h/(h*h/(h/(h/(h/h**18)))*h)*h*h**(1/17))**13 assuming h is positive. h**(-3965/17) Simplify (g*g/(g/((g/(g*(g*g*g*g/(g/((g*g**(-3)/g*g*g)/g*g)))/g))/g)*g))**(-12)/(g**(-1/6)/g)**(1/12) assuming g is positive. g**(1735/72) Simplify (k*k**(-12)*k)**(1/12) assuming k is positive. k**(-5/6) Simplify (b**(-5/2)/b*b/(b**(5/6)/b)*b*b*b)/((b/(b**(2/5)*b))/(((b/b**7)/b)/b)) assuming b is positive. b**(-104/15) Simplify t*t/(t**(-7)/t)*t/((t**(1/2)/t)/t)*t assuming t is positive. t**(27/2) Simplify (x**(-2/3)/((x*x**(-1/2))/x))**(-5/9) assuming x is positive. x**(5/54) Simplify ((((l**(2/3)/l*l*l)/l*l)/l)/l)**(-16) assuming l is positive. l**(16/3) Simplify ((o*o*o**(-4/9))/(o*o/o**3))/(o*o**(-2))**(3/32) assuming o is positive. o**(763/288) Simplify a*a**0*a**(2/11)*a**(-6)*a/(a*a/(a*a*a**(-1/5)*a)) assuming a is positive. a**(-166/55) Simplify (h*h**(-6))**(-3/13) assuming h is positive. h**(15/13) Simplify ((u**(-2/11)*u)/u)/u**(1/12)*(u/(u/(u/u**(2/5))))**50 assuming u is positive. u**(3925/132) Simplify (q*q**(-7))/(q/(q*q*(q*q/q**(8/9)*q)/q)*q*q) assuming q is positive. q**(-53/9) Simplify ((w**1)**(36/5))**44 assuming w is positive. w**(1584/5) Simplify (((a*a**(-1/5)*a)/a*a)/a*a*a*(a/a**(-2)*a)/a*a*a)/(a/(a/(a/(a*a/((a*a**(1/4)*a)/a))*a*a)))**(-1/51) assuming a is positive. a**(2667/340) Simplify m**(-3/2)/m*m**0*m**(3/5)/(m/(m**(-4)/m)*m) assuming m is positive. m**(-89/10) Simplify (c/c**(-16))**(17/5) assuming c is positive. c**(289/5) Simplify (f/(f**8*f))**44 assuming f is positive. f**(-352) Simplify ((u*u*(u**(2/17)/u*u)/u)/u**3)**15 assuming u is positive. u**(-480/17) Simplify (p*p**5*p)/((p*p/p**(2/11))/p) assuming p is positive. p**(68/11) Simplify ((f*f**4*f)/f*f*f*f**(-3)*f*f*f)**(-21) assuming f is positive. f**(-147) Simplify (i**1*i)**(-38)*(i**(-2))**(-37) assuming i is positive. i**(-2) Simplify m/((m**(-16)/m)/m)*m*m**(4/3)*m assuming m is positive. m**(67/3) Simplify (l**(-2/5))**21/((l/l**1)/l*l)**33 assuming l is positive. l**(-42/5) Simplify k**(-1/13)/k**(3/4) assuming k is positive. k**(-43/52) Simplify m**(-10)*m*(m/(m*m**(3/7)))/m assuming m is positive. m**(-73/7) Simplify (h**(16/7)/h)/h**(1/2) assuming h is positive. h**(11/14) Simplify o**(-1/11)*o**(3/10) assuming o is positive. o**(23/110) Simplify (o*o**(-2/9))**(-14/9) assuming o is positive. o**(-98/81) Simplify ((x*x*x**(1/13)*x*x*x*x*x*x*x)/((x*(x/((x*x**(-1/3))/x))/x*x)/x))**(-1
{ "pile_set_name": "DM Mathematics" }
51, -205781, -365845, -571643? -823175 What comes next: -385, -1011, -1633, -2251? -2865 What is the next term in -66253, -66250, -66247, -66244, -66241, -66238? -66235 What is next in 17778, 142796, 482124, 1142916, 2232326? 3857508 What is next in 55661, 55663, 55665, 55667? 55669 What is next in 511084, 2044321, 4599716, 8177269, 12776980, 18398849, 25042876? 32709061 What is the next term in 528, 512, 496, 480? 464 What is next in 83, 399, 949, 1733? 2751 What comes next: -5102, -5259, -5416, -5573, -5730? -5887 What is next in 732, 2993, 6774, 12081, 18920, 27297? 37218 What comes next: 1016, 2115, 3214, 4313, 5412? 6511 What is the next term in 652, 1227, 1802? 2377 What is next in 2940, 6422, 9904, 13386, 16868, 20350? 23832 What comes next: -927, -1854, -2785, -3720, -4659, -5602, -6549? -7500 What comes next: -2184156, -2184159, -2184162, -2184165, -2184168? -2184171 What comes next: -324, -2624, -8862, -21006, -41024, -70884, -112554, -168002? -239196 What is the next term in 17910, 71642, 161196, 286572? 447770 What is the next term in 20, -29, -84, -151, -236, -345, -484? -659 What is next in -3087, -3196, -3305, -3414? -3523 What is next in 5818, 5815, 5810, 5803, 5794, 5783, 5770? 5755 What comes next: 78640, 78641, 78642, 78643? 78644 What is the next term in 295, 874, 1731, 2866, 4279? 5970 What is next in -58, -2115, -7700, -18577, -36510, -63263, -100600? -150285 What is next in 1055, 4215, 9479, 16847, 26319, 37895? 51575 What is next in 77, -44, -247, -532, -899, -1348, -1879? -2492 What is next in 147, 858, 2135, 3978? 6387 What is the next term in -116422, -116421, -116420? -116419 What comes next: -5338, -5265, -5178, -5071, -4938, -4773, -4570, -4323? -4026 What is the next term in 107279, 107298, 107333, 107390, 107475, 107594? 107753 What comes next: 25565, 25690, 25813, 25934, 26053, 26170? 26285 What comes next: -13945, -13942, -13941, -13942, -13945, -13950, -13957? -13966 What is next in 13515, 13517, 13519, 13521, 13523, 13525? 13527 What comes next: -240, -415, -520, -555, -520? -415 What comes next: 3215, 12706, 28533, 50702, 79219? 114090 What is next in -19130, -18847, -18574, -18317, -18082, -17875? -17702 What is next in -267, -333, -399, -465? -531 What comes next: 83500, 83502, 83504, 83506, 83508, 83510? 83512 What comes next: -690, -908, -1128, -1350, -1574? -1800 What is next in 470, 628, 786? 944 What comes next: 82, 310, 698, 1252, 1978, 2882, 3970, 5248? 6722 What is next in 85, -46, -671, -2036, -4387? -7970 What is the next term in 30027, 30026, 30025, 30024? 30023 What is next in -811, -1366, -1921, -2476, -3031? -3586 What is the next term in -662, -663, -666, -671, -678, -687? -698 What comes next: -119328, -238654, -357980, -477306, -596632, -715958? -835284 What is the next term in -17507, -35010, -52513, -70016? -87519 What comes next: 128, 656, 2086, 4868, 9452, 16288? 25826 What is next in -1086997, -2173993, -3260989, -4347985, -5434981? -6521977 What is the next term in 42, 168, 374, 660, 1026? 1472 What is next in 2983, 2986, 3003, 3040, 3103, 3198, 3331? 3508 What is next in -765, -3143, -7127, -12717, -19913? -28715 What is next in -20577, -41138, -61675, -82176, -102629, -123022? -143343 What is the next term in -6, -11, -20, -33, -50, -71, -96? -125 What is the next term in -151, 136, 423, 710, 997? 1284 What is the next term in 8390, 8362, 8324, 8282, 8242, 8210, 8192, 8194? 8222 What is next in 159, 436, 847, 1392, 2071? 2884 What comes next: -875, -3590, -8143, -14534, -22763, -32830, -44735? -58478 What is the next term in -909, -867, -803, -717, -609, -479? -327 What comes next: -29327, -58643, -87959, -117275? -146591 What is the next term in -4422038, -4422036, -4422034, -4422032, -4422030, -4422028? -4422026 What is the next term in -922, -1318, -1714? -2110 What comes next: -183, -432, -747, -1134, -1599, -2148? -2787 What is the next term in 378, 730, 1046, 1320, 1546, 1718? 1830 What is next in -5963, -11923, -17883, -23843, -29803, -35763? -41723 What comes next: -17418, -17434, -17450? -17466 What is the next term in 10, -52, -154, -296, -478, -700? -962 What is the next term in 3539, 14229, 32039, 56963, 88995, 128129, 174359, 227679? 288083 What comes next: -76, -7, 86, 215, 392, 629, 938, 1331? 1820 What is next in 157, 231, 419, 775, 1353? 2207 What is next in 60, 215, 470, 831, 1304, 1895, 2610? 3455 What is next in 2837, 5628, 8371, 11066? 13713 What is next in 21895, 21896, 21895, 21892, 21887, 21880? 21871 What is next in 1681, 1643, 1607, 1573, 1541? 1511 What is the next term in 2382, 2450, 2508, 2550, 2570, 2562? 2520 What comes next: -229, -187, -103, 35, 239, 521, 893, 1367? 1955 What is the next term in -160429, -320857, -481283, -641707? -802129 What is next in 271, 1491, 2709, 3925, 5139, 6351, 7561? 8769 What is next in 191971, 383944, 575917, 767890, 959863, 1151836? 1343809 What comes next: -2463, -4908, -7323, -9702, -12039, -14328, -16563? -18738 What is next in 8805, 17618, 26431? 35244 What is the next term in 341, 391, 495, 659, 889, 1191, 1571? 2035 What comes next: -61981, -61993, -62009, -62029, -62053? -62081 What is next in 268, 255, 242, 229, 216? 203 What comes next: 666, 687, 694, 687, 666? 631 What is the next term in 37648, 75288, 112928? 150568 What comes next: 109149, 218297, 327445, 436593, 545741, 654889? 764037 What is next in -3870, -3873, -3880, -3891, -3906, -3925? -3948 What is next in 476, 806, 1354, 2120, 3104? 4306 What is the next term in -1905, -3931, -6099, -8415, -10885, -13515, -16311, -19279? -22425 What is next in 45020, 90038, 135056, 180074, 225092, 270110? 315128 What comes next: 247, 454, 555, 496, 223, -318? -1181 What is the next term in 700, 1056, 1402, 1738, 2064, 2380, 2686? 2982 What is the next term in -6881, -6910, -6955, -7016, -7093, -7186? -7295 What is the next term in -248579, -248576, -248571, -248564? -248555 What is next in 169203, 338404, 507605, 676806, 846007, 1015208? 1184409 What is the next term in -1251, -2515, -3781, -5049, -6319, -7591, -8865? -10141 What is the next term in 1059, 2064, 3095, 4158, 5259, 6404, 7599, 8850? 10163 What is next in -6855, -27443, -61755, -109797, -171575, -247095? -336363 What is the next term in -8284, -16506, -24724, -32938, -41148, -49354? -57556 What is the next term in 84046, 84036, 84014, 83974, 83910? 83816 What comes next: 35715, 35729, 35755, 35799, 35867, 35965? 36099 What comes next: -2008, -8141, -18364, -32671, -51056, -73513? -100036 What comes next: 90, -277, -658, -1059, -1486? -1945 What comes next: -2060, -4133, -6206, -8279? -10352 What is the next term in 5650, 5618, 5584, 5548, 5510? 5470 What comes next: -91789, -183616, -275455, -367312, -459193, -551104, -643051, -735040? -827077 What comes next: 41538, 83072, 124606, 166140? 207674 What is the next term in -2899, -2893, -2883, -2869, -2851, -2829? -2803 What is next in 112, 179, 244, 307, 368, 427? 484 What is the next term in 45, -134, -441, -882, -1463, -2190, -3069, -4106? -5307 What is the next term in -24, -89, -204, -387, -656, -1029, -1524? -2159 What comes next: -1728, -3457, -5232, -7077, -9016? -11073 What comes next: -61495, -245965, -553411, -983827, -1537207, -2213545, -3012835, -3935071? -4980247 What is the next term in -18877, -18853, -18801, -18727, -18637, -18537, -18433? -18331 What is the next term in 14423, 28840, 43255, 57668, 72079, 86488? 100895 What is the next term in -19915, -19910, -19903, -19894, -19883, -19870, -19855? -19838 What is next in -775, -1601, -2425, -3247? -4067 What is the next term in 10023, 20094, 30167, 40242, 50319? 60398 What comes next: -71360, -71358, -71356? -71354 What is next in -418, -454, -490, -526, -562, -598? -634 What comes next: 763862, 1527722, 2291582? 3055442 What comes next: 815, 814, 817, 824, 835, 850? 869 What is next in 42361, 42366, 42371, 42376? 42381 What is the next term in -500, -4145, -14078, -33443, -65384, -113045? -179570 What comes next: -178, -262, -428, -718, -1174, -1838, -2752, -3958? -5498 What comes next: 13, 87, 211, 373, 561? 763 What is next in -219, 299, 815, 1329, 1841? 2351 What comes next: -43249, -43171, -43079, -42967, -42829, -42659, -42451, -42199? -41897 What is the next term in -464, -9
{ "pile_set_name": "DM Mathematics" }