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e units digit of l? 4 Let n be 2 - 0 - (-13 + 11). Suppose -w - 225 = -n*w. What is the units digit of w? 5 Let s = -1 - -4. Suppose -s*v + 19 = 5*u - 4*v, -5*v - 17 = u. What is the units digit of u/((-9)/(-102) + 0)? 4 Suppose 9*v - 11*v = -12. Let b(o) = v*o**2 + 6 - 10 + o**3 - 3. What is the tens digit of b(-3)? 2 Let o be (-16)/(-1 - 3) + -4. Let n(g) be the third derivative of g**5/60 + g**4/12 + 26*g**3/3 + 4*g**2. What is the tens digit of n(o)? 5 What is the tens digit of (33/((-2970)/(-504)))/(1/420)? 5 Let a(i) = -i + 3. Let x be a(2). Let h be 3*14/6*x. What is the tens digit of h + -4 + 0 + 24? 2 What is the hundreds digit of -2 - (6 - 9) - (-553 - -1)? 5 Suppose 0 = -13*f + 10*f - 1566. Let q = -312 - f. What is the units digit of q? 0 Let i(c) = c**2 + 9*c - 10. Let z be i(-9). What is the tens digit of (4/20*-196)/(4/z)? 9 Suppose -633 = 4*u + i + 968, -1996 = 5*u - 4*i. Let m = u - -623. What is the hundreds digit of m? 2 Suppose 4*c - 13 = 7. Let p = c - -8. Suppose -p*x + 14*x = 34. What is the tens digit of x? 3 Let i(q) = 2*q**3 + 32*q**2 + 2*q - 29. What is the tens digit of i(-14)? 2 Suppose -6*g + 5 = -g. Suppose -g = 3*z - 4*z - 4*l, -6 = z - 3*l. What is the units digit of 4/(-6)*z*11? 2 Suppose 18138 = 15*a - 4887. What is the tens digit of a? 3 Let p = -269 - -477. Let n = p + -153. What is the tens digit of n? 5 Let t be 6/(-27) - 8/(-36). Let o be 3 - 2 - (-4 - t). Suppose o*s - 8 = -h - h, -4*s - 44 = -4*h. What is the units digit of h? 9 Suppose 10292 - 416 = 12*u. What is the units digit of u? 3 Suppose 4*p - 7 = 5*l - 43, -3*l + 22 = -2*p. Suppose 549 = l*k - 179. What is the tens digit of k? 9 Let r(p) = 5*p - 22. Let i(b) = -17*b + 31*b + 43 - 25*b. Let z(s) = -4*i(s) - 9*r(s). What is the tens digit of z(-8)? 3 Let r(h) = 4*h**3 + 4*h**2 + 2*h - 7. Let d be r(3). Suppose 0 = -3*j - 17 + d. What is the tens digit of j + -3 - (-3 + 4)? 3 Let h = -11 - -9. Let r(m) = 2*m**2 + 2*m. Let f be r(h). Suppose 111 = 3*k - 4*z, 5*k - 207 = f*z - 22. What is the units digit of k? 7 Suppose 3*b - 2*m + 43 = 3*m, 5*b = m - 35. What is the tens digit of ((-31)/(-3))/(b/(-36))? 6 Suppose 3*t - 5*t - 38 = 0. Let j(n) = -n**3 - 18*n**2 + 8*n + 46. What is the tens digit of j(t)? 5 Suppose 192*v - 188*v = 136. What is the units digit of v? 4 Let g(q) = -14*q**2 - 5*q - 3. Let m(w) = 7*w**2 + 2*w + 2. Let r(l) = 2*g(l) + 5*m(l). What is the tens digit of r(2)? 3 Let n be 6*(-8)/(-12) - 2. Suppose -3*u + 3 = -2*q, -u + 15 = n*u. What is the units digit of -1*-1*q + 4? 0 Let t = 385 + 20. What is the tens digit of t? 0 What is the hundreds digit of (-3)/1 + 1 + (3 - -470)? 4 What is the units digit of ((-6)/(-12))/(8/73088)? 8 Let h = -59 - -54. Let r = h + 53. What is the tens digit of r? 4 Let x(i) = -i**2 + 6*i + 6. Suppose z + 4 + 5 = 0. Let j be (-56)/z + 2/(-9). What is the units digit of x(j)? 6 Let a(y) = -15*y**3 - y**2 + 1. Let d be a(-1). What is the tens digit of ((-6)/(-4))/(d/710)? 7 Let a(w) = 11*w - 10. Let m(h) = 45*h + 6*h**2 + 2*h**2 - 48*h + 1. Let u be m(1). What is the tens digit of a(u)? 5 Let v = -907 - -2594. What is the units digit of v? 7 Let h(t) = t**3 - t**2 + 349. What is the units digit of h(0)? 9 Let f(q) = 3*q**2. Let k be f(-1). Suppose 3*r = -k*l - 0*r + 144, 152 = 3*l + r. What is the tens digit of l? 5 Suppose -4 = 4*m - 0, 0 = 2*z - 3*m - 15. Suppose 250 = z*k - k. What is the tens digit of k? 5 Let r(z) = -2*z**3 + z**2 + 9*z - 4. What is the tens digit of r(-7)? 6 Let k(r) = r**3 + 16*r**2 + 29. What is the hundreds digit of k(-14)? 4 Suppose 0 = -5*f + 5*q + 8150 - 950, 3*f - q = 4326. What is the units digit of f? 3 Let a(q) = q**3 - 3*q**2 + 14*q - 27. Let x be a(10). Suppose 0 = -18*y + 15*y + x. What is the units digit of y? 1 Let g(j) = j**3 - j**2 + 329. Suppose -3*x + x = -4*v + 8, -5*v - 4 = x. Let s be g(v). Suppose -3*q + s = 4*q. What is the tens digit of q? 4 Suppose -3*q + 931 + 1685 = 0. What is the tens digit of q? 7 Suppose -4*l - 81 + 401 = 0. Let u = 121 - l. What is the tens digit of u? 4 Let a be (7/14)/(1/(-18772)). Let g be (0 - -3)/((-39)/a). Suppose -7*h - 253 = -g. What is the tens digit of h? 6 Suppose 0*r - 10 = 2*r. Let p(b) = 6*b**2 + 3*b + 12. What is the tens digit of p(r)? 4 Let l(r) = r**3 - 15*r**2 - 18*r + 24. Let z be l(16). Let q(y) = -13*y + 25. What is the tens digit of q(z)? 2 Let s(f) = -17*f**3 + f - 2. Let r be s(-2). Suppose -r = -4*n + o, n = -n + o + 68. What is the tens digit of n? 3 Suppose 9304 = -48*d + 59608. What is the tens digit of d? 4 Suppose -f + 3*s = -13, -2*f - s + 6*s + 24 = 0. Suppose 18*r - f*r = 1276. What is the units digit of r? 6 Let n(x) = x + 7. Let k be n(-5). Suppose -3 = b + k*b. What is the units digit of ((-15)/10)/(b/18)? 7 Let o(u) = 42*u**2 - 6*u + 5. Let h be o(2). Suppose -4*i + h = -259. What is the hundreds digit of i? 1 Let o = 2141 - 787. What is the tens digit of o? 5 Let a = 566 - 226. Suppose -4*s = 2*v - 170, -4*v - s - s = -a. What is the tens digit of v? 8 Suppose 38*t - 8*t = 75600. What is the units digit of t? 0 Suppose 0 = -y - 5*h + 14, -4*y + 58 = h + 21. What is the units digit of (58/6)/(y/27)*2? 8 Let x(d) = 5*d**3 + 63*d**2 + 31*d + 22. What is the units digit of x(-12)? 2 What is the tens digit of -3 + 0/6 + 1760? 5 What is the hundreds digit of (-42)/(-28) + (-6821)/(-2)? 4 What is the units digit of (-2)/6*(-485 - 13) + -5? 1 Suppose -2*n - 3*l + 9744 = 0, 12 = 19*l - 22*l. What is the hundreds digit of n? 8 Let x(d) = d**3 - 3*d**2 + 5*d - 13. Let o be x(3). What is the units digit of -3 + o - (-48 + -1)? 8 Suppose 6*p + 1688 = 10*p. What is the hundreds digit of p? 4 What is the hundreds digit of ((-32)/1 - 0)*(-140)/35? 1 Suppose 5*g = 3222 + 2328. What is the hundreds digit of g? 1 Suppose 0 = -2*f + 9 - 5. Suppose 10 = -j - j + 4*p, f*p + 4 = 4*j. Suppose 5*l - 93 = k + j*k, 0 = -l + k + 19. What is the tens digit of l? 1 What is the hundreds digit of 112*3 - (1 - (3 + -2))? 3 Let o(v) = -2*v**3 - 6*v**2 + 16*v + 45. Let a = 66 - 73. What is the tens digit of o(a)? 2 Let s(i) be the third derivative of -i**5/60 + 5*i**4/12 - 3*i**3/2 - 5*i**2. Let b be s(6). What is the units digit of (-1 - -3)*b/3? 0 Let y = -8 + 5. Let x be (-1)/(y + 32/10). Let g(q) = 2*q**2 + 5*q - 6. What is the units digit of g(x)? 9 Let i(b) = b**2 - b - 2. Let a be i(3). Let j(v) = -6*v + 4. Let r(q) = -11*q + 8. Let d(s) = a*r(s) - 7*j(s). What is the units digit of d(-6)? 6 What is the hundreds digit of ((98/(-4))/(-1))/(13/234)? 4 Suppose 2*f - 2 = f. Suppose c + 22 = f. Let u = 42 + c. What is the tens digit of u? 2 Suppose -5*q = g - 1891 - 1552, 4*q + 2*g - 2752 = 0. What is the hundreds digit of q? 6 Suppose 8*u = 5*u. Suppose u = 9*s + 6*s - 1020. What is the units digit of s? 8 Let x be 3/(-1) + 2 - -5. Suppose -243 = k - x*k. What is the units digit of k? 1 Let q be (-38)/171 - (-832)/18. Let d = q + -12. What is the units digit of d? 4 Suppose 3 = 5*g - 5*o - 12, -3*g - 3*o + 3 = 0. Let v be (0 - g)*10/(-4). Suppose -v*i + 5 = -20. What is the units digit of i? 5 Let g be (-30)/(-40) - 255/(-12). Suppose w - g - 47 = 0. What is the tens digit of w? 6 Let l = -217 + 559. Let n be (-5)/(-1)*l/(-30). What is the units digit of -3*n/(-9)*-1? 9 Let z(a) = 24*a**2 + a - 4. Let o be z(2). Let w = o + -22. What is the units digit of w? 2 Let u = -13 - -35. What is the units digit of u? 2 Suppose 15 = 3*w - 4*w. Let c = -12 - w. Suppose c*y + 23 = u, -y + 2 = -2*y. What is the tens digit of u? 1 Let k(r) = -r**2 - 10*r - 4. Let y be -2 + (6*-1 - -1). What is the units digit of k(y)? 7 Suppose 0 = 11*f - 7663 + 1657. What is the hundreds digit of f? 5 Suppose -10*q + 6 = -11*q. Let u be (1464/(-8))/(q/4). Let p = u - 73. What is the units digit of p? 9 Suppose -108*t = -106847 - 45325. What is the hundreds digit of t? 4 Suppose 0 = -2*w + 5*h - 2*h + 119, -87 = -w - 4*h. Suppose -3*f + w = -2*f. What is the tens digit of f? 6 Suppose 0 = -31*m + 5176 + 26258. What is the tens digit of m? 1 Let n(f) = 5*f**2 - 7*f + 9. Let l be n(4). Let p = 6 + l. What is the tens digit of p? 6 Suppose -7*s + 75 = -2*s. Let g(j) = j + 17. What is the units digit of g(s)? 2 Let b = 1978 + -653. What is the hundreds dig
{ "pile_set_name": "DM Mathematics" }
5, 1 Factor 3*x**5/5 - 12*x**4/5 + 9*x**3/5. 3*x**3*(x - 3)*(x - 1)/5 Factor 5*o**3 + 35*o**2 + 50*o. 5*o*(o + 2)*(o + 5) Factor -r**4 - 8*r**3 - 9*r**2 + 18*r. -r*(r - 1)*(r + 3)*(r + 6) Let u**3 + 20*u**2 - 121*u + 100 = 0. What is u? -25, 1, 4 Find q, given that -2*q**3 + 22*q**2 + 536*q - 1144 = 0. -13, 2, 22 Solve -2*l**4 + 14*l**3 - 20*l**2 = 0. 0, 2, 5 Determine v, given that 2*v**2 - 706*v = 0. 0, 353 Suppose 39762*s**5/5 + 23406*s**4 - 6736*s**3/5 - 158952*s**2/5 + 9024*s/5 - 128/5 = 0. What is s? -2, 4/141, 1 Let -2*a**2 + 466*a = 0. Calculate a. 0, 233 Suppose 11*k**3/7 - 831*k**2 + 4750*k/7 + 1056/7 = 0. Calculate k. -2/11, 1, 528 Factor -4*t**2/3 - 56*t/3 - 52/3. -4*(t + 1)*(t + 13)/3 Factor j**2/2 + 413*j + 170569/2. (j + 413)**2/2 Factor -n**4 - 56*n**3 - 717*n**2 + 2146*n + 6728. -(n - 4)*(n + 2)*(n + 29)**2 Factor 3*d**3 + 2637*d**2 + 772641*d + 75461271. 3*(d + 293)**3 Factor -2*w**3 - 18*w**2 + 18*w + 162. -2*(w - 3)*(w + 3)*(w + 9) Suppose -3*f**4 - 72*f**3 - 135*f**2 + 4050*f = 0. Calculate f. -15, 0, 6 Factor 3*u**5 - 9*u**4 - 12*u**3. 3*u**3*(u - 4)*(u + 1) Suppose -4*b**2 - 64*b + 68 = 0. Calculate b. -17, 1 Find u such that 338*u**2 + 936*u + 648 = 0. -18/13 Solve -w**3/10 + 3*w**2/10 + w = 0. -2, 0, 5 Find a, given that -3*a**3 + 213*a**2 - 4257*a + 16335 = 0. 5, 33 Factor 2*n**3/7 - 478*n**2/7 + 3728*n/7 - 1056. 2*(n - 231)*(n - 4)**2/7 Find x, given that -x**5 + 99*x**4 - 3267*x**3 + 35937*x**2 = 0. 0, 33 Let -13*w**3 + 54*w**2 + 57*w - 10 = 0. What is w? -1, 2/13, 5 Factor i**3/10 + 6*i**2/5 - 13*i/10. i*(i - 1)*(i + 13)/10 Factor -a**2/2 - 70*a. -a*(a + 140)/2 Suppose 5*o**5 - 15*o**4 - 20*o**3 = 0. Calculate o. -1, 0, 4 Determine z, given that 15*z**4 - 6*z**3 - 45*z**2 + 48*z - 12 = 0. -2, 2/5, 1 Factor i**3 - 36*i**2 + 357*i - 1078. (i - 22)*(i - 7)**2 Determine n, given that -520*n**2/3 - 146*n/3 - 4/3 = 0. -1/4, -2/65 Solve -2*d**5/7 + 12*d**4/7 - 4*d**3/7 - 72*d**2/7 + 54*d/7 + 108/7 = 0 for d. -2, -1, 3 Factor q**2/2 + 5*q + 9/2. (q + 1)*(q + 9)/2 Suppose 315*z**5 + 1380*z**4 - 1120*z**3 - 710*z**2 + 85*z + 50 = 0. Calculate z. -5, -1/3, 2/7, 1 Suppose 4*z**2/3 - 52*z/3 + 48 = 0. Calculate z. 4, 9 Factor z**2/2 + 5*z/2 - 12. (z - 3)*(z + 8)/2 What is i in 5*i**4 - 1970*i**3 + 5880*i**2 - 5870*i + 1955 = 0? 1, 391 Let -5*c**2 - 45*c + 350 = 0. What is c? -14, 5 Factor 6*k**2/5 - 18396*k/5 + 14100534/5. 6*(k - 1533)**2/5 Factor 4*p**5 + 184*p**4 + 180*p**3. 4*p**3*(p + 1)*(p + 45) Factor -3*c**5 - 96*c**4 - 84*c**3 + 294*c**2 + 471*c + 186. -3*(c - 2)*(c + 1)**3*(c + 31) Factor 3*l**2 + 4275*l. 3*l*(l + 1425) What is n in 3*n**4 - 36*n**2 + 48*n = 0? -4, 0, 2 Find r, given that -5*r**4 + 70*r**3 - 195*r**2 - 270*r = 0. -1, 0, 6, 9 Factor -17*d**3/3 - 44*d**2 - 29*d + 28/3. -(d + 1)*(d + 7)*(17*d - 4)/3 Factor h**5 + 93*h**4 + 1811*h**3 - 16405*h**2 + 27000*h - 12500. (h - 5)*(h - 1)**2*(h + 50)**2 Find w, given that -24*w**3 + 2*w**2 + 18*w + 4 = 0. -2/3, -1/4, 1 Factor -2*s**2/9 - 22*s/9 + 8/3. -2*(s - 1)*(s + 12)/9 Factor w**5/10 + w**4/10 - 3*w**3/10 - w**2/2 - w/5. w*(w - 2)*(w + 1)**3/10 Factor -3*x**2/4 - 25*x/2 - 47/4. -(x + 1)*(3*x + 47)/4 Determine a so that -2*a**2 - 453*a - 226 = 0. -226, -1/2 Factor -10*a**2 + 87*a + 27. -(a - 9)*(10*a + 3) Determine n so that -84*n**4 - 244*n**3 - 144*n**2 + 16*n = 0. -2, -1, 0, 2/21 Factor -3*y**3/5 - 93*y**2 + 1416*y/5 - 948/5. -3*(y - 2)*(y - 1)*(y + 158)/5 Factor 2738*s**2 + 31376*s + 89888. 2*(37*s + 212)**2 Factor v**2/3 - 1592*v/3 + 633616/3. (v - 796)**2/3 Factor -5*c**4 + 35*c**3 + 260*c**2 + 460*c + 240. -5*(c - 12)*(c + 1)*(c + 2)**2 Factor -q**5 - 5*q**4 - 7*q**3 + q**2 + 8*q + 4. -(q - 1)*(q + 1)**2*(q + 2)**2 Suppose 3*s**3 - 2304*s**2 + 589824*s - 50331648 = 0. Calculate s. 256 Suppose -12*f**4 - 253*f**3 - 1461*f**2 - 1320*f - 100 = 0. Calculate f. -10, -1, -1/12 Find j, given that -35*j**5/2 + 10*j**4 + 85*j**3/2 + 15*j**2 = 0. -1, -3/7, 0, 2 Suppose -2*y**3 - 62*y**2 - 168*y = 0. Calculate y. -28, -3, 0 Find g, given that 5*g**5 - 189*g**4/4 - 169*g**3/2 - 10*g**2 + 39*g/2 - 11/4 = 0. -1, 1/5, 1/4, 11 Factor -5*x**2 - 2265*x - 2260. -5*(x + 1)*(x + 452) Factor -13*m**2 - m. -m*(13*m + 1) Factor -3675*g**2 + 280*g - 16/3. -(105*g - 4)**2/3 Factor -2*g**2 - 32*g - 120. -2*(g + 6)*(g + 10) Factor -l**5/5 + l**4 - 6*l**3/5 - 2*l**2/5 + 7*l/5 - 3/5. -(l - 3)*(l - 1)**3*(l + 1)/5 Suppose -6*v**3/7 - 60*v**2/7 + 222*v/7 - 156/7 = 0. What is v? -13, 1, 2 Determine z so that -4*z**4 + 8*z**3 = 0. 0, 2 Suppose 4*g**5 + 12*g**4/5 - 128*g**3/5 - 32*g**2/5 + 192*g/5 - 64/5 = 0. Calculate g. -2, 2/5, 1, 2 Factor 2*r**5/3 + 34*r**4 + 416*r**3 - 1352*r**2/3. 2*r**2*(r - 1)*(r + 26)**2/3 Determine p so that -20*p**3 - 95*p**2 + 145*p - 30 = 0. -6, 1/4, 1 Suppose -17*y**3 + 342*y**2 - 652*y + 72 = 0. Calculate y. 2/17, 2, 18 Solve r**3 + 408*r**2 - 819*r + 410 = 0. -410, 1 Factor 4*v**2/7 + 120*v/7 - 124/7. 4*(v - 1)*(v + 31)/7 Factor -50625*r**4/7 - 13500*r**3/7 - 1350*r**2/7 - 60*r/7 - 1/7. -(15*r + 1)**4/7 Factor -y**2 - 4*y + 12. -(y - 2)*(y + 6) Factor 4*a**2 - 152*a + 544. 4*(a - 34)*(a - 4) Factor -2*v**3 - 68*v**2 + 222*v. -2*v*(v - 3)*(v + 37) Suppose 5*w**3 - 155*w**2 - 5*w + 155 = 0. Calculate w. -1, 1, 31 Find v, given that -5*v**2/3 + 15*v - 100/3 = 0. 4, 5 Determine x so that -2*x**5/3 - 8*x**4 + 532*x**2/3 + 470*x + 300 = 0. -10, -3, -1, 5 Factor 5*s**4 + 2890*s**3 + 420485*s**2 + 832320*s + 414720. 5*(s + 1)**2*(s + 288)**2 Factor -20*u**2 + 3455*u + 865. -5*(u - 173)*(4*u + 1) Find n, given that 3*n**4 - 6*n**3 - 27*n**2 + 54*n = 0. -3, 0, 2, 3 Factor -3*x**3/4 + 141*x**2/4 - 69*x/2. -3*x*(x - 46)*(x - 1)/4 Factor -s**4/5 + 2176*s**3/5 - 1775616*s**2/5 + 643956736*s/5 - 87578116096/5. -(s - 544)**4/5 Factor u**2/2 + 125*u + 15625/2. (u + 125)**2/2 Factor -3*u**3 + 57*u**2/4 - 45*u/4. -3*u*(u - 1)*(4*u - 15)/4 Factor -5*o**5 + 140*o**4 - 265*o**3 + 130*o**2. -5*o**2*(o - 26)*(o - 1)**2 Let -2*c**5 + 4*c**4 + 68*c**3 - 328*c**2 + 510*c - 252 = 0. What is c? -7, 1, 2, 3 Factor -2*v**3 - 64*v**2 - 414*v. -2*v*(v + 9)*(v + 23) Find y, given that -y**4/3 + y**3 + y**2 - 7*y/3 - 2 = 0. -1, 2, 3 Solve 5*y**4 + 220*y**3 + 3150*y**2 + 13500*y - 16875 = 0 for y. -15, 1 Factor 6*o**2 - 1228*o + 816. 2*(o - 204)*(3*o - 2) Solve 3*x**3/2 - 15*x**2 + 63*x/2 = 0. 0, 3, 7 Determine l, given that 14*l**2 + 120*l + 154 = 0. -7, -11/7 Solve -2*c**3 + 282*c**2 - 1900*c + 3216 = 0. 3, 4, 134 Factor 4*u**3 + 36*u**2 - 16*u - 144. 4*(u - 2)*(u + 2)*(u + 9) Suppose -2*h**4/9 - 10*h**3/9 - 14*h**2/9 - 2*h/3 = 0. What is h? -3, -1, 0 Factor -3*f**2/2 - 10755*f - 38556675/2. -3*(f + 3585)**2/2 Let -2*n**5 - 60*n**4 - 600*n**3 - 2000*n**2 = 0. What is n? -10, 0 Solve -o**4 - 9*o**3 + 103*o**2 + 1125*o + 1782 = 0 for o. -9, -2, 11 Let 4*p**3 + 60*p**2 + 48*p - 112 = 0. Calculate p. -14, -2, 1 Factor -3*u**5/5 - 213*u**4/5 - 4089*u**3/5 - 11019*u**2/5 - 10608*u/5 - 3468/5. -3*(u + 1)**3*(u + 34)**2/5 Find g such that -5*g**3/2 - 25*g**2/2 + 5*g + 60 = 0. -4, -3, 2 Factor -5*f**4 + 50*f**3 + 15*f**2 - 140*f - 100. -5*(f - 10)*(f - 2)*(f + 1)**2 Determine z so that -3*z**5/5 - 27*z**4 - 342*z**3 - 870*z**2 - 819*z - 1323/5 = 0. -21, -1 Factor -f**3/3 + 28*f**2/3 + 20*f. -f*(f - 30)*(f + 2)/3 Solve -5*p**4 + 115*p**3 + 1160*p**2 + 2480*p = 0 for p. -4, 0, 31 Solve -2*j**2/7 + 690*j/7 + 2088/7 = 0 for j. -3, 348 Suppose 2*z**2 - 760*z + 72200 = 0. What is z? 190 Determine c so that 5*c**4 - 180*c**3 - 185*c**2 = 0. -1, 0, 37 Let -4*m**3 - 16*m**2 + 48*m = 0. Calculate m. -6, 0, 2 Factor -4*r**2 + 928*r + 932. -4*(r - 233)*(r + 1) Find o, given that o**5 - 23*o**4/5 - 3*o**3 + 83*o**2/5 + 94*o/5 + 24/5 = 0. -1, -2/5, 3, 4 Let 3*q**4 - 120*q**3 + 531*q**2 - 186*q - 840 = 0. Calculate q. -1, 2, 4, 35 Solve -2*f**4/3 + 6*f**3 + 52*f**2/3 - 24*f - 176/3 = 0. -2, 2, 11 Find f, given that f**2 + 337*f = 0. -337, 0 Find v, given that 3*v**5/8 - 21*v**4/8 + 15*v**3/4 + 3*v**2/4 - 33*v/8 + 15/8 = 0. -1, 1, 5 Factor 3*c**3/7 + 1035*c**2/7 - 1038*c/7. 3*c*(c - 1)*(c + 346)/7 Solve 36*t**5 + 4110*t**4 - 16478*t**3 - 22970*t**2 - 9214*t - 1180 = 0 for t. -118, -1/2, -1/3, 5 Let -w**2/2 + 9/2 = 0. What is w? -3, 3 Determine m so that -m**2 - 1932*m - 933156 = 0. -966 Factor -k**2/3 - k + 11
{ "pile_set_name": "DM Mathematics" }
8187 rounded to six dps? -0.000082 What is -0.000059195 rounded to 6 dps? -0.000059 Round 0.000000103 to seven dps. 0.0000001 Round -16960 to the nearest one thousand. -17000 Round 66.778 to the nearest ten. 70 What is -9.945 rounded to the nearest integer? -10 Round 14682600 to the nearest 1000000. 15000000 Round -0.007736 to 3 dps. -0.008 Round 68000 to the nearest ten thousand. 70000 What is -0.255 rounded to one dp? -0.3 What is -19406 rounded to the nearest one thousand? -19000 What is 20.625 rounded to the nearest integer? 21 Round -0.00163495 to five dps. -0.00163 What is 0.002198 rounded to three dps? 0.002 Round 4006000 to the nearest one hundred thousand. 4000000 Round 0.00156 to four decimal places. 0.0016 Round -0.0107688 to 4 decimal places. -0.0108 Round -0.006883 to four dps. -0.0069 What is 0.00009009 rounded to 5 decimal places? 0.00009 Round -0.1461 to one decimal place. -0.1 Round -0.0042992 to 4 dps. -0.0043 What is 0.102203 rounded to 4 decimal places? 0.1022 Round -5.6905 to 2 dps. -5.69 What is -64782 rounded to the nearest ten thousand? -60000 What is -0.499 rounded to 1 decimal place? -0.5 What is 0.0004919 rounded to 5 dps? 0.00049 What is 20.99 rounded to the nearest ten? 20 What is -1.25317 rounded to two decimal places? -1.25 Round 69.9 to the nearest integer. 70 Round -312220 to the nearest 100000. -300000 Round -11280000 to the nearest 1000000. -11000000 Round 10660 to the nearest one hundred. 10700 What is 0.000005287 rounded to 7 dps? 0.0000053 What is -131400000 rounded to the nearest 1000000? -131000000 What is -8434000 rounded to the nearest 1000000? -8000000 Round -254200 to the nearest 10000. -250000 What is -0.00038757 rounded to four dps? -0.0004 What is 15 rounded to the nearest ten? 20 Round 0.01411 to three dps. 0.014 Round -24.92 to the nearest ten. -20 What is -210454 rounded to the nearest 10000? -210000 What is -0.00004339 rounded to five decimal places? -0.00004 What is 0.000081152 rounded to six decimal places? 0.000081 Round 214.37 to the nearest ten. 210 What is 85807000 rounded to the nearest one hundred thousand? 85800000 What is -0.07152 rounded to three decimal places? -0.072 What is -1.391 rounded to 2 decimal places? -1.39 Round -0.293 to 2 dps. -0.29 Round -23940 to the nearest 1000. -24000 Round 0.000100426 to six dps. 0.0001 Round -0.0006 to 4 decimal places. -0.0006 Round -49.99 to 0 decimal places. -50 Round 1.2907 to one dp. 1.3 What is 44.9 rounded to the nearest ten? 40 Round -0.012456 to 4 dps. -0.0125 What is -0.000008389 rounded to 7 decimal places? -0.0000084 What is -0.0000014443 rounded to 7 dps? -0.0000014 Round -9882000 to the nearest one hundred thousand. -9900000 Round -0.00322 to 4 decimal places. -0.0032 Round -68450 to the nearest 1000. -68000 Round 0.033219 to four decimal places. 0.0332 What is 6.033 rounded to the nearest integer? 6 What is -32369000 rounded to the nearest 100000? -32400000 What is 6830.42 rounded to the nearest 1000? 7000 Round 0.035818 to 3 decimal places. 0.036 What is -50350000 rounded to the nearest one million? -50000000 What is 51500 rounded to the nearest ten thousand? 50000 What is -0.0000001909 rounded to six dps? 0 Round 159155 to the nearest one thousand. 159000 What is -0.0066654 rounded to 5 decimal places? -0.00667 What is -82600 rounded to the nearest 10000? -80000 What is 0.4205 rounded to two dps? 0.42 Round 0.0000196 to 4 decimal places. 0 What is 1.598 rounded to 1 dp? 1.6 What is 0.11927 rounded to three dps? 0.119 What is -0.00018698 rounded to six decimal places? -0.000187 Round -0.0000657 to five decimal places. -0.00007 What is -0.371 rounded to one decimal place? -0.4 Round -0.00009979 to 5 decimal places. -0.0001 What is -6.7913 rounded to one dp? -6.8 Round -0.0001175 to 6 decimal places. -0.000118 Round 7799 to the nearest 100. 7800 Round 932 to the nearest 100. 900 What is -0.00001495 rounded to 7 dps? -0.000015 Round 1415000 to the nearest one hundred thousand. 1400000 What is -0.00393 rounded to four dps? -0.0039 What is 0.000000825 rounded to seven dps? 0.0000008 Round -0.02069 to two dps. -0.02 Round -15627 to the nearest 1000. -16000 Round -0.2887 to 2 decimal places. -0.29 Round -563.32 to the nearest one hundred. -600 Round 0.00000109552 to seven dps. 0.0000011 What is -11.079 rounded to the nearest integer? -11 Round -3175 to the nearest 1000. -3000 What is -3690 rounded to the nearest one hundred? -3700 Round -0.38085 to one dp. -0.4 What is 128.81 rounded to the nearest 10? 130 What is -3.7907 rounded to one dp? -3.8 What is 66802600 rounded to the nearest 100000? 66800000 What is -5769700 rounded to the nearest 100000? -5800000 Round 1070 to the nearest 100. 1100 What is -0.014106 rounded to three decimal places? -0.014 Round -0.000004981 to seven dps. -0.000005 Round 0.013012 to 4 decimal places. 0.013 Round -3.2249 to 1 decimal place. -3.2 What is -0.00003517 rounded to five decimal places? -0.00004 What is 0.00636 rounded to 4 decimal places? 0.0064 Round -217.931 to the nearest 10. -220 Round -0.00001559 to 6 dps. -0.000016 What is 2061.6 rounded to the nearest 10? 2060 What is 1.5642 rounded to zero dps? 2 What is 1110.97 rounded to the nearest 100? 1100 Round -302.21 to 0 dps. -302 Round 3990000 to the nearest one hundred thousand. 4000000 What is 22996 rounded to the nearest ten thousand? 20000 Round 0.000003786 to 6 dps. 0.000004 Round 0.00000146 to 7 dps. 0.0000015 What is 297 rounded to the nearest 10? 300 What is -0.000103318 rounded to 5 dps? -0.0001 What is 8917000 rounded to the nearest one million? 9000000 Round -0.00006939 to 6 decimal places. -0.000069 Round -0.1967 to one decimal place. -0.2 What is -38.494 rounded to the nearest ten? -40 What is 10149 rounded to the nearest one thousand? 10000 Round 0.821 to two dps. 0.82 Round -6608 to the nearest 100. -6600 What is 0.014211 rounded to four decimal places? 0.0142 Round 112320 to the nearest 1000. 112000 Round -3706800 to the nearest one hundred thousand. -3700000 Round -21.27 to 0 dps. -21 Round 0.00042931 to 5 decimal places. 0.00043 Round 0.005881 to three decimal places. 0.006 What is -536400 rounded to the nearest 10000? -540000 Round -0.0062253 to three decimal places. -0.006 What is 0.0428451 rounded to 4 decimal places? 0.0428 Round -0.0000051538 to seven decimal places. -0.0000052 What is -6030 rounded to the nearest one hundred? -6000 Round 0.0000002488 to 7 decimal places. 0.0000002 Round 0.000002706 to six decimal places. 0.000003 What is 5247000 rounded to the nearest 100000? 5200000 What is 122.77 rounded to the nearest 10? 120 Round -0.007615 to three decimal places. -0.008 What is -0.000161 rounded to five decimal places? -0.00016 Round -539.06 to the nearest one hundred. -500 Round 0.001144 to five dps. 0.00114 Round -0.000004077 to seven decimal places. -0.0000041 What is 2.435 rounded to one decimal place? 2.4 Round -0.00002524 to 6 dps. -0.000025 Round -15457 to the nearest 10000. -20000 Round -201397 to the nearest 10000. -200000 What is 0.126889 rounded to 3 dps? 0.127 Round 0.1039 to three decimal places. 0.104 Round -41.7098 to one dp. -41.7 What is 4430000 rounded to the nearest one million? 4000000 Round -27537.4 to the nearest one hundred. -27500 What is -8941000 rounded to the nearest 100000? -8900000 Round -3.0444 to 1 dp. -3 Round -6330 to the nearest 1000. -6000 What is -0.000101711 rounded to five dps? -0.0001 What is 10.062 rounded to the nearest 10? 10 Round 4755000 to the nearest one hundred thousand. 4800000 What is 2.89 rounded to zero dps? 3 What is -0.000065439 rounded to five dps? -0.00007 Round 2056 to the nearest 100. 2100 Round 8630000 to the nearest one million. 9000000 Round 16414 to the nearest 1000. 16000 Round -13759 to the nearest one thousand. -14000 What is 117782 rounded to the nearest 1000? 118000 Round 0.000021278 to seven dps. 0.0000213 Round 0.00012534 to four dps. 0.0001 What is 0.35666 rounded to 2 decimal places? 0.36 What is -218.5 rounded to the nearest one hundred? -200 Round 0.013693 to 3 decimal places. 0.014 What is 0.00000687 rounded to 6 decimal places? 0.000007 What is -280500000 rounded to the nearest 1000000? -281000000 What is -120.8 rounded to the nearest 10? -12
{ "pile_set_name": "DM Mathematics" }
89/68) Simplify (i/(i*i**(-6)))/(i/(i**(2/23)*i)) assuming i is positive. i**(140/23) Simplify ((h/(h**(-2)*h*h))/(h**(-2/11)/h*h))/(h**2*h)**18 assuming h is positive. h**(-581/11) Simplify (m**15/((m*m*m*m**22*m)/m))**27 assuming m is positive. m**(-270) Simplify (m**(2/3)*m/(m/(m*(m/(m**(-10)/m))/m)))**(4/5) assuming m is positive. m**(152/15) Simplify (t**(-3/2))**(2/181) assuming t is positive. t**(-3/181) Simplify (r**5/r*r/(r*r**(1/4)))**(-1/24) assuming r is positive. r**(-5/32) Simplify (f**(-1))**(-4/5)*f**(-6)*f*f*f/f**(-1/2) assuming f is positive. f**(-17/10) Simplify ((d*d/((d*(d**2*d*d*d*d)/d)/d))/d)**(-2/3)/(d/(d*(d/((d/(d**(-2/9)/d))/d))/d)*d**7/d*d) assuming d is positive. d**(-50/9) Simplify (h**(-1)*h)**(1/7)/(h**3/(h*h*h**0/h)) assuming h is positive. h**(-2) Simplify k**(-3/2)/k**(-5/3) assuming k is positive. k**(1/6) Simplify (c*c*c*c**(-2)*c)/(c*(c/c**(-1/3))/c)*(c**(-1))**(-1/20) assuming c is positive. c**(43/60) Simplify o**(1/37)/o*o*o*o/(((o*o**(-2/11)/o)/o)/o) assuming o is positive. o**(1713/407) Simplify (y**(-1/2))**(-1/13)*y**6/y**(-6) assuming y is positive. y**(313/26) Simplify (k*k*k*k**(-1/57)/k)/((k/(k*k**(-2/9)*k))/k) assuming k is positive. k**(643/171) Simplify (k/k**1*k*k*k**16)**(-1/10) assuming k is positive. k**(-9/5) Simplify (t**5/((t**(-2)*t)/t))/(((t/(t*t**(-2/7)))/t)/((t/t**(-1/2))/t)) assuming t is positive. t**(115/14) Simplify (k*k**20)/k**(-20) assuming k is positive. k**41 Simplify m/((((m**35/m)/m)/m)/m)*m**(-23) assuming m is positive. m**(-53) Simplify l/(l*l/l**(-16))*l**25*l assuming l is positive. l**9 Simplify g**(3/2)*g*g*g**15*g assuming g is positive. g**(39/2) Simplify (n**(2/7))**(-1/2)/((n*(n**(-2/9)/n)/n)/((n*n**(-5)/n)/n)) assuming n is positive. n**(-310/63) Simplify a/(a/a**(-3/13))*a*(a/(a*((a**(-3)/a)/a)/a))/a assuming a is positive. a**(75/13) Simplify q**(-2)*q*q**5/q*q*q*(q/(q*q**(-2/5)*q))/q**1 assuming q is positive. q**(17/5) Simplify (((i**(2/5)/i)/i)**(2/91))**(1/25) assuming i is positive. i**(-16/11375) Simplify b*b*b**(-2/23)*b*b**(-15/7) assuming b is positive. b**(124/161) Simplify (o**6)**17 assuming o is positive. o**102 Simplify (f**(-1))**(-1/6)/((f*f*f*(f/f**5)/f*f)/f**0) assuming f is positive. f**(7/6) Simplify ((c*c**(-4))/c)/c*c**(-2/37) assuming c is positive. c**(-187/37) Simplify m*m**(5/3)*m**7 assuming m is positive. m**(29/3) Simplify (s**(1/2)*(s*((s**4*s)/s)/s)/s)/(s**(-2/3))**26 assuming s is positive. s**(125/6) Simplify (f/(f/f**(-24/5)))/(((f**(-20)/f)/f)/f) assuming f is positive. f**(91/5) Simplify (r/(r**(4/3)*r)*r*r**(2/11))/(r**(-6)*r*r/((r/(r*r*(r/r**4)/r))/r*r)) assuming r is positive. r**(226/33) Simplify (q/(q/(q*q*(q*q**3)/q*q)*q))/(q**(-5/3)*q)*((q/q**(1/4)*q)/q)**(-11/9) assuming q is positive. q**(19/4) Simplify (i*i*i**(-5)*i)/(i*i*i*i**5)*i**(-2)*(i*i**3/i)/i assuming i is positive. i**(-10) Simplify y*y/y**3*y*y**(4/5)/y assuming y is positive. y**(-1/5) Simplify (k/k**(1/4))/(k/((k**(-1/4)/k)/k))*(k*k/k**6)/(k/k**(-2/3)) assuming k is positive. k**(-49/6) Simplify (g/(g*g*g**(5/4)*g)*g*g/g**(-2/15))/((g*g/((g/g**3)/g)*g)/((((g**(1/2)*g)/g)/g)/g)) assuming g is positive. g**(-517/60) Simplify (m*m**(2/3)*m*m/m**(-1/4))**17 assuming m is positive. m**(799/12) Simplify (t*t**(-2)*t)**(15/8)/(((t*t*t**(-7))/t)/(t**(-7/5)/t)) assuming t is positive. t**(18/5) Simplify ((m**6/m)/m**(1/4))/((m*(m*(m/m**(-3/10))/m)/m)/m**(1/5)) assuming m is positive. m**(73/20) Simplify (r**(-1/19)/r**(-6))**(2/45) assuming r is positive. r**(226/855) Simplify (n*n*n/((n/(n*n**1))/n))/(n**(5/3)*n*n)*n**0/(n/(n**(-1/4)/n*n)) assuming n is positive. n**(1/12) Simplify ((a**(1/4))**(-34))**(-27) assuming a is positive. a**(459/2) Simplify (y**(2/13)/(y/(y*y**(-1/18))))/(y**(-4)*y/y**(-8)) assuming y is positive. y**(-1147/234) Simplify (x**(-1))**49*x**3/((x/(x/(x*x**(-4)*x*x)*x))/x) assuming x is positive. x**(-43) Simplify (d*d**1)**(-2/25)*d**(-2)/(d**(-2)*d) assuming d is positive. d**(-29/25) Simplify (f**(-1/12)/f*((f/f**(1/4))/f)/f)/(f*f**(6/7)*f**4) assuming f is positive. f**(-172/21) Simplify (y**(4/7))**(-4/7) assuming y is positive. y**(-16/49) Simplify ((z*(z**(-2/7)*z)/z*z)/z)/z**(1/13)*z*z/(z**(2/13)*z*z)*z/(z/(z/(z*z*z**(-4)/z))*z) assuming z is positive. z**(317/91) Simplify j/j**(1/2)*j*j**(4/13) assuming j is positive. j**(47/26) Simplify (s/((s/(s*s*s*s**9*s))/s))**19 assuming s is positive. s**266 Simplify (n/((n*(((n*(n*n*(n/n**(-5))/n)/n)/n)/n)/n)/n)*n**(-6))/((n*n**(-1/5)/n)/(n/(n*(n*n**(2/5))/n)*n)) assuming n is positive. n**(-41/5) Simplify (z**(-1/4))**32*(z/(z*z/(z*z*z**2*z*z)))**(1/53) assuming z is positive. z**(-419/53) Simplify t/((t*t/(t/t**(-6))*t)/t)*((t**(-1/2)/t)/t)/t*(t/(t**0*t)*t*t*t)**11 assuming t is positive. t**(71/2) Simplify (o**(2/5)*o)**(-2/83)*(o**(3/5)*o)/o**(1/5) assuming o is positive. o**(567/415) Simplify (f/f**(-7))/(f/(f**(12/7)*f)) assuming f is positive. f**(68/7) Simplify ((t/(t**(-6)*t))/(t**(-10)*t))/(t*((t**(-4)*t)/t)/t*t/(t*t**(-3))) assuming t is positive. t**16 Simplify (b**9/b**5)**22 assuming b is positive. b**88 Simplify (v**(-1/2))**(-6/35)*(v**(1/3))**(-50) assuming v is positive. v**(-1741/105) Simplify (o**6*o)/o**6*(o/(o/(o**(-2/5)/o)))**(-39) assuming o is positive. o**(278/5) Simplify (r**(1/6)*r)**(4/11) assuming r is positive. r**(14/33) Simplify (a*a/(a**(1/4)/a))**(-36)*a**(4/5)/(a*a/a**(-2/9)) assuming a is positive. a**(-4519/45) Simplify (u/u**(-18))/(u/u**(1/16)*u) assuming u is positive. u**(273/16) Simplify (c**1/c)**33/((c**4/c)/((c*c/c**(1/4)*c)/c)) assuming c is positive. c**(-5/4) Simplify (d**7*d)/d**(-1/2)*(d/(d*d*d/(d/(d*d/(d*d**10*d*d))))*d)/(d*d/d**(-2)) assuming d is positive. d**(31/2) Simplify (y**(-1)/y)/y**(-8)*(y**(-1/4))**(1/2) assuming y is positive. y**(47/8) Simplify (y*((y**(5/7)/y)/y*y*y)/y)**39 assuming y is positive. y**(195/7) Simplify (p**(-10)/((p**(1/4)*p)/p))**(-4/3) assuming p is positive. p**(41/3) Simplify j**(3/4)/j**(-1/9) assuming j is positive. j**(31/36) Simplify s/(s*s**(1/8))*s**(1/2)/s*s*s*((s/((s/(s*s**(6/5)*s))/s))/s)/(s*s**3) assuming s is positive. s**(23/40) Simplify (p/(p**(-1)*p)*p**3*p)**(21/5) assuming p is positive. p**21 Simplify ((a/(a/a**(-5/7)))/a)/((a*(a*a**11/a)/a)/a*a*a)*a**11*a**(-2/7) assuming a is positive. a**(-3) Simplify (l**1*l*l**1)/(l**(1/9)/(l*l**2)) assuming l is positive. l**(53/9) Simplify x**(2/69)/(x*x**(1/17)/x) assuming x is positive. x**(-35/1173) Simplify ((g*g/(g**(2/11)/g)*g)/(g*g**(5/2)*g))/(g**(-2/9))**(-26) assuming g is positive. g**(-1279/198) Simplify (o**(5/3)/(o/(o*(o**(2/7)/o)/o)))/(o*(o*o**(-2/7)/o*o*o)/o*o*((o*o/(o/(o*o**5)))/o)/o) assuming o is positive. o**(-163/21) Simplify (t**(-3)/t**(-6))/(t**(-1)*t*t**(2/5)*t) assuming t is positive. t**(8/5) Simplify ((r*r/(r*r*r**(-5)/r*r))/r**(-5))/(((r**7*r)/r*r)/(r*r*r/(r/(((r*r**(-8))/r)/r)))) assuming r is positive. r**(-5) Simplify l/(l/l**(-4))*l**(-2)*l*(l*l**0)**(1/15) assuming l is positive. l**(-74/15) Simplify t**5*t**6*t**(1/9)/(t/(t**(-2/13)/t)) assuming t is positive. t**(1048/117) Simplify ((o/o**30)/o)/o*o/((o*((o/o**(3/26))/o)/o)/o) assuming o is positive. o**(-751/26) Simplify ((z/z**6)/z*z/(z*z**(-3/2)*z))**(4/9) assuming z is positive. z**(-22/9) Simplify t**(2/73)*t**(9/5) assuming t is positive. t**(667/365) Simplify (y**(-3/4))**(-2/105) assuming y is positive. y**(1/70) Simplify a**(3/4)/a*a*a**24 assuming a is positive. a**(99/4) Simplify (s*s**(-2/51))/(s/((s*s**(-24))/s)) assuming s is positive. s**(-1226/51) Simplify (n**(-1))**(-23) assuming n is positive. n**23 Simplify m**27/(m/(m**7*m)*m*m) assuming m is positive. m**32 Simplify (m**(-2/5)/m)**8*(m*m/(m/(m/(m/(m/((m**(1/3)/m)/m))))))**(-2/7) assuming m is positive. m**(-1286/105) Simplify n**4*n**(-3)/n*n*n**(-2/7)*n*n/(n**(2/3)*n) assuming n is positive. n**(22/21) Simplify j**(-5)/(j/(j/j**(2/7)*j))*(j/(j/j**(-1)))**(1/41) assuming j is positive. j**(-1237/287) Simplify (f**(-1/6)/(((f/(f/(f*f*f*f**(-4/11)*f*f)*f))/f)/f))**4 assuming f is positive. f**(-238/33) Simplify (g/((g**(-7)*g)/g))/g**(-13) assuming g is positive. g**21 Simplify (((a*(a*a**(-2))/a)/a)**27)**(5/6) assuming a is positive. a**(-45) Simplify ((w**(1/5)/w)/(w/(w**(-3)*w)))/(
{ "pile_set_name": "DM Mathematics" }
) to base 12 -3506 Convert 8e52 (base 16) to base 14. d3c6 -2786 (base 9) to base 3 -2212220 -1362 (base 10) to base 16 -552 35177 (base 8) to base 10 14975 6118 (base 9) to base 7 16016 What is -1121 (base 3) in base 4? -223 Convert -1164 (base 7) to base 4. -12312 What is -222340 (base 5) in base 8? -17245 What is 1214 (base 9) in base 13? 547 Convert -143556 (base 7) to base 3. -1102000220 Convert 1010110111 (base 2) to base 11. 582 What is -29a (base 13) in base 11? -393 Convert 302003 (base 4) to base 10. 3203 Convert 1001111111100 (base 2) to base 3. 21000111 What is 1300130 (base 4) in base 10? 7196 Convert 2b (base 15) to base 6. 105 Convert 40331 (base 6) to base 7. 21325 633 (base 12) to base 3 1020110 Convert -220001 (base 4) to base 7. -10316 Convert 2ddc (base 14) to base 8. 20046 -3731 (base 8) to base 5 -31014 Convert -52cd (base 15) to base 9. -26024 Convert 2c72 (base 14) to base 8. 17404 What is 110001221 (base 3) in base 9? 13057 70 (base 13) to base 8 133 Convert 400431 (base 5) to base 12. 7374 132 (base 11) to base 4 2130 Convert -2155 (base 10) to base 14. -add What is 142 (base 6) in base 4? 332 What is 31545 (base 6) in base 7? 15401 Convert 1379c (base 13) to base 15. ac0e -264 (base 13) to base 4 -12210 Convert -1131 (base 5) to base 8. -246 10011101101 (base 2) to base 3 1201201 Convert -15302 (base 7) to base 9. -5758 -1100100111100 (base 2) to base 16 -193c -ab6 (base 12) to base 5 -22303 Convert -15471 (base 8) to base 6. -52133 What is -237a6 (base 14) in base 6? -1504502 -10001011111100 (base 2) to base 8 -21374 12110021 (base 3) to base 15 12a1 Convert -130132 (base 4) to base 14. -942 What is 39149 (base 10) in base 15? b8ee 338 (base 16) to base 7 2255 5436 (base 9) to base 10 4002 -1000 (base 8) to base 7 -1331 22201 (base 3) to base 4 3223 Convert 24a (base 14) to base 8. 712 Convert 1110021111 (base 3) to base 14. a613 -1a29 (base 16) to base 13 -3082 Convert -2088 (base 14) to base 10. -5608 What is 123615 (base 7) in base 8? 54640 Convert 3330 (base 12) to base 5. 140102 What is -248 (base 16) in base 4? -21020 Convert 11110110 (base 2) to base 6. 1050 -1765 (base 11) to base 16 -8c9 -1002000122 (base 3) to base 13 -9827 1b0a3 (base 13) to base 5 3142421 33223 (base 6) to base 5 121443 What is -10000000111011 (base 2) in base 14? -3015 11112001 (base 3) to base 7 12415 Convert -713 (base 10) to base 11. -599 Convert 11010001 (base 2) to base 6. 545 What is 10643 (base 10) in base 6? 121135 233 (base 10) to base 13 14c 567 (base 8) to base 15 1a0 Convert 4312 (base 16) to base 5. 1022140 Convert 11100101000111 (base 2) to base 9. 22102 103003 (base 4) to base 11 a09 33122 (base 5) to base 6 14331 10479 (base 10) to base 13 4a01 What is 1003200 (base 5) in base 16? 3eb2 What is -55b0 (base 12) in base 2? -10010100010100 What is -33 (base 8) in base 6? -43 What is 8516 (base 10) in base 9? 12612 Convert -640 (base 14) to base 5. -14412 1222101 (base 3) to base 9 1871 What is 1121211112 (base 3) in base 16? 7cd3 Convert 22d3 (base 16) to base 2. 10001011010011 What is 1f24 (base 16) in base 14? 2c96 Convert 110110 (base 3) to base 2. 101010000 What is -3184 (base 10) in base 5? -100214 What is -2120122002 (base 3) in base 14? -146dc What is 1403 (base 9) in base 4? 100200 What is 411342 (base 5) in base 8? 32043 Convert -240330 (base 7) to base 8. -124572 What is 6b5f (base 16) in base 6? 331131 What is -1586 (base 14) in base 12? -2282 -1367 (base 11) to base 5 -24032 Convert -17469 (base 13) to base 12. -21a53 -4557 (base 10) to base 16 -11cd Convert f3 (base 16) to base 9. 300 Convert 130340 (base 8) to base 2. 1011000011100000 What is -2425 (base 6) in base 2? -1001010001 What is -48e7 (base 15) in base 2? -11110010011101 -1011011000 (base 2) to base 16 -2d8 Convert -1200022 (base 3) to base 16. -4c7 -1010 (base 4) to base 5 -233 What is de (base 15) in base 8? 321 Convert -25df (base 16) to base 15. -2d15 Convert -510 (base 7) to base 2. -11111100 Convert -101001100001110 (base 2) to base 14. -7a6a e079 (base 16) to base 15 12060 Convert -313113 (base 4) to base 6. -24223 Convert 11023130 (base 4) to base 11. 14a34 Convert ba8c (base 14) to base 11. 22275 Convert -80b (base 13) to base 8. -2523 -1d3a (base 14) to base 6 -40424 Convert -3640 (base 9) to base 16. -a95 What is -2345 (base 7) in base 13? -518 Convert -132134 (base 5) to base 4. -1102232 Convert -221210100 (base 3) to base 4. -10211301 Convert aa34 (base 14) to base 13. 10531 What is 5943 (base 14) in base 5? 444133 What is 161 (base 12) in base 2? 11011001 d0 (base 14) to base 3 20202 What is 22054 (base 7) in base 6? 41331 14585 (base 12) to base 13 cc5c 521 (base 12) to base 14 3b3 1223 (base 4) to base 16 6b Convert -5550 (base 9) to base 5. -112340 -32301 (base 11) to base 4 -23131211 -17174 (base 8) to base 15 -24a4 What is -11200002 (base 3) in base 2? -110101001100 Convert -102224 (base 6) to base 15. -26d1 Convert a03 (base 15) to base 12. 1379 What is -616 (base 8) in base 5? -3043 -10431 (base 10) to base 9 -15270 What is -438 (base 9) in base 12? -25b -523 (base 14) to base 15 -476 -10031320 (base 4) to base 15 -51b7 Convert -101120112 (base 3) to base 10. -7709 What is 155b (base 12) in base 6? 15355 3223003 (base 4) to base 9 22564 Convert 1106 (base 8) to base 16. 246 Convert -358 (base 9) to base 8. -450 What is 243 (base 8) in base 6? 431 Convert 9a5 (base 12) to base 7. 4100 -29932 (base 10) to base 2 -111010011101100 What is -630 (base 8) in base 9? -503 -c9 (base 13) to base 12 -119 What is 1a4b0 (base 12) in base 4? 21131010 Convert 10787 (base 11) to base 3. 210101011 1011000111011 (base 2) to base 11 4304 Convert 3454 (base 6) to base 16. 33a Convert 2110212 (base 3) to base 15. 805 201022 (base 3) to base 9 638 ca (base 13) to base 11 141 62a1 (base 11) to base 7 33212 What is -223 (base 7) in base 5? -430 What is -12102 (base 4) in base 12? -296 -216 (base 10) to base 16 -d8 What is -1000111001 (base 2) in base 9? -702 What is 571 (base 15) in base 5? 14411 What is 9081 (base 13) in base 3? 1000021020 Convert -110001202 (base 3) to base 15. -2915 Convert -654 (base 11) to base 16. -311 What is -2330 (base 10) in base 7? -6536 What is -2140 (base 8) in base 3? -1112111 -4031 (base 6) to base 2 -1101110011 What is -2212123 (base 4) in base 5? -320101 Convert -54031 (base 6) to base 4. -1303003 Convert -1085 (base 10) to base 12. -765 Convert 3121 (base 4) to base 8. 331 Convert -10403 (base 8) to base 11. -32aa What is -114e5 (base 15) in base 3? -2210121022 What is 1562 (base 7) in base 3? 212102 What is 123202 (base 4) in base 6? 12054 Convert -3768 (base 15) to base 4. -2320112 Convert e308 (base 15) to base 8. 135475 Convert 111 (base 4) to base 8. 25 873 (base 11) to base 14 54c Convert -9750 (base 11) to base 12. -7555 Convert 2210 (base 4) to base 2. 10100100 Convert -10010011110100 (base 2) to base 3. -110222101 What is -561 (base 11) in base 2? -1010100000 What is -17b8 (base 12) in base 2? -101100111100 Convert -336 (base 14) to base 10. -636 125221 (base 8) to base 7 241206 -356 (base 8) to base 2 -11101110 27036 (base 8) to base 3 121012021 Convert 6b2c (base 14) to base 13. 8655 103254 (base 6) to base 12 4b2a -1452 (base 7) to base 6 -2400 What is 282 (base 11) in base 12? 238 What is 1737 (base 10) in base 15? 7ac What is 5a2 (base 11) in base 5? 10332 Convert 893 (base 12) to base 5. 20023 Convert -309 (base 12) to base 11. -371 31013122 (base 4) to base 15 10db7 What is 6b (base 14) in base 5? 340 10851 (base 9) to base 6 53331 Convert -664 (base 11) to base 16. -31c What is 672 (base 12) in base 11? 794 -308 (base 9) to base 16 -fb What is 346 (base 13) in base 10? 565 Convert -502 (base 11) to base 6. -2451 Convert -11011201 (base 3) to base 4. -233203 Convert -4966 (base 10) to base 8. -11546 Convert 1d24 (base 15) to base 7. 24316 Convert 21420 (base 5) to base 14. 781 What is -240013 (base 5) in base 10? -8758 49 (base 10) to base 5 144 123143 (base 5) to base 2 1001010111110 What is -6016 (base 8) in base 5? -44321 Convert 217 (base 15) to base 7. 1243 What is 10000000100 (base 2) in base 14? 536 Convert -903a (base 11) to base 6. -131354 Convert 4732 (base 8) to base 4. 213122 What is -307
{ "pile_set_name": "DM Mathematics" }
t g = 6.85 + s. Round g to two dps. -0.15 Let s = 13016597 - 3066597. Round s to the nearest one million. 10000000 Let z be (-1)/(-2) + (-9)/18. Suppose z = -0*p - p + 82000. Suppose c + p = -c. Round c to the nearest ten thousand. -40000 Let n be -1 - 2 - -20420006*(-5)/(-10). Round n to the nearest 1000000. 10000000 Let w be 252/294 + (-426)/7. Let m be 8/w + 423760/75. What is m rounded to the nearest one thousand? 6000 Let d = -8176 - -8180.607. What is d rounded to 1 dp? 4.6 Let t be 0*(-1)/4 + 4. Let h be 3 + -154*(-2)/t. What is h rounded to the nearest one hundred? 100 Let q = -0.011 - 2.689. Let w = 0.85 + q. What is w rounded to one decimal place? -1.9 Let a = 36 - 35.5. Let l = -0.50021 + a. Round l to four dps. -0.0002 Suppose 0 = 3*f - 4*k + 7*k - 9833985, 16390020 = 5*f - 4*k. Round f to the nearest 100000. 3300000 Suppose 0 = 8*n - 17999 + 318719. What is n rounded to the nearest one thousand? -38000 Let r = -14302.13 + 14370. Let f = -68 + r. What is f rounded to 1 decimal place? -0.1 Suppose -14 + 18 = -2*f, 2*g = 2*f + 54604. Round g to the nearest ten thousand. 30000 Let q = -1.613 - -1.6129993008. What is q rounded to 7 decimal places? -0.0000007 Let w = 10477340971385520.9999967 - 10477340149631362. Let m = w + -821754101. Let u = 58 - m. What is u rounded to six decimal places? 0.000003 Let o = 117.4 + -110. Let a = o - 7.39999828. What is a rounded to 7 dps? 0.0000017 Let a = 58 + -27. Let o = 31.000046 - a. Round o to 5 decimal places. 0.00005 Let t(u) = -8265*u**2 + 6*u - 1. Let f be (-4)/1 - -3 - -8. Let x = f - -4. Let l be t(x). Round l to the nearest 1000000. -1000000 Let m(u) = -138393*u - 646. Let f be m(-22). What is f rounded to the nearest one hundred thousand? 3000000 Let o = -40 - -45. Suppose -3*b + 1322 = 4*s, -o*b + 2*s - 5*s = -2207. What is b rounded to the nearest 100? 400 Let c(y) = y**3 + 8*y**2 - 9*y + 5. Let s be c(-9). Suppose 0*t = -s*t - 10. Let k be -1 - 2*1500001/t. What is k rounded to the nearest one million? 2000000 Let l = 204 + -203.9999999889. What is l rounded to 7 decimal places? 0 Let o = 1.0952 + -0.1262. Let r = -0.93 + o. Round r to two decimal places. 0.04 Let c = 0.89 - 0.890584. What is c rounded to 4 decimal places? -0.0006 Let w = -2382.1 + 2695. Round w to the nearest 10. 310 Let y = 2995.996511 - 2996. What is y rounded to four decimal places? -0.0035 Suppose -603*z - 13120 = -601*z. Round z to the nearest 100. -6600 Suppose 0 = -5*g + 14 + 6, -17 = -z - 5*g. Let c(t) = -944444*t**2 + 2*t + 2. Let r be c(z). Round r to the nearest 1000000. -9000000 Let w = 25 + -25. Let o(q) = 3309*q**2 - 1. Let n be o(-1). Suppose n = 3*d - 4*g, 2*d - d + 4*g - 1092 = w. What is d rounded to the nearest 1000? 1000 Let y = 0.263992 + 2562.981008. Let p = 2561.7450002 - y. Let g = p + 1.5. What is g rounded to 7 decimal places? 0.0000002 Let v = 6 - -3. Let c = v + -8.74. What is c rounded to one decimal place? 0.3 Let q = -0.14 + -3.76. Let c = q - -3.18. Round c to one dp. -0.7 Let k = -22.7 + 20. Let v = -2.87 - k. Let z = -0.163 - v. What is z rounded to 2 dps? 0.01 Let g = -0.683 - -723.683. Let r = 708.72 - g. Let d = 15 + r. What is d rounded to 1 decimal place? 0.7 Suppose -l + 8*l = -1156631. Let w = -17233 - l. Round w to the nearest ten thousand. 150000 Let a(y) = 279*y**3 + 5*y**2 + 8*y + 2. Let f be a(7). Suppose g + g + f = 0. Let j be g*(50/4)/(-5). What is j rounded to the nearest one hundred thousand? 100000 Suppose -55 = 5*s - 10. Let o(j) = -25*j + 9*j**2 + j**3 + 12 - 27*j + 75*j - 26*j. Let n be o(s). Round n to the nearest 10. 40 Let d = -13.35 + 15. Let p = -9.95 + d. Round p to the nearest integer. -8 Let y = 7585 + -26655. Let c = -19081.161 - y. Let t = c + -0.139. Round t to the nearest integer. -11 Let c = -2473 + 2473.07244. Let l = 0.077 - c. Round l to four decimal places. 0.0046 Let a = -107293 - 66907. Round a to the nearest ten thousand. -170000 Let q = -2397 + 2397.01891. Round q to four decimal places. 0.0189 Let x = 573128.309866 - 573027.31. Let j = -101 + x. What is j rounded to five dps? -0.00013 Let u = -10.2 - 4.8. Let v = 17.3 + u. What is v rounded to the nearest integer? 2 Let l = 504 - 455.34. What is l rounded to the nearest 10? 50 Let g = -4.7 - 586.3. Let z = -591.381 - g. Let f = z - 0.109. What is f rounded to 1 dp? -0.5 Let q = 8.6 - 8.13. Let g = 0.47000064 - q. What is g rounded to seven dps? 0.0000006 Let d(f) = 56932*f + 224. Let h be d(18). What is h rounded to the nearest one hundred thousand? 1000000 Let z be 924996 - -7 - (3/(-3) + 4). Round z to the nearest 100000. 900000 Let p = 380 - 4090. Round p to the nearest 1000. -4000 Let b = -13.8 + 13.80002614. What is b rounded to 6 decimal places? 0.000026 Let u = 0.02166 + -0.0289. What is u rounded to four decimal places? -0.0072 Let p = -255.9983 + -0.0017. Let q = p + 257.39. Let z = 1.532 - q. What is z rounded to two decimal places? 0.14 Let z = -1108.591 - -1068.59235. Let k = -28 - 12. Let c = z - k. Round c to 4 decimal places. 0.0014 Let d = -187028 - -2142028. Suppose f + 4*v = 6*f + d, f - 4*v + 391000 = 0. What is f rounded to the nearest ten thousand? -390000 Suppose 0 = 4*c - 0*c - 396736. Suppose 4*b = 4*f + 55955 - 155171, 0 = -4*f - 4*b + c. Round f to the nearest 1000. 25000 Let j = 101 + -55. Let o = 46.086 - j. What is o rounded to 2 dps? 0.09 Suppose 0 = -4*w + w + 6. Suppose -w*p + 6*p - 20 = 0. Suppose 11997 = p*d - v, v = d + 936 - 3333. Round d to the nearest one thousand. 2000 Suppose -7*k + 4*k + 18 = 0. Suppose -k*t + 2*t - n = -17, 3*n - 7 = -t. Suppose 0 = t*d + 234851 + 77149. Round d to the nearest ten thousand. -80000 Let a(f) = f + 5. Let h be a(-5). Let p(q) = h + 0 - 1 - 3 + 217499*q. Let g be p(-4). What is g rounded to the nearest 100000? -900000 Let u = 6.6 + 0.9. Let h = u + -7.5000043. What is h rounded to six decimal places? -0.000004 Suppose -89*l = -91*l - 348. Round l to the nearest ten. -170 Let m be 2/(-3)*(-51)/(-34). Let k = m + -5. Let z be ((-45)/k)/((-1)/(-420000)). Round z to the nearest 100000. 3200000 Let t be -3 + (2 - (-1 + -2 + -775998)). What is t rounded to the nearest 100000? 800000 Suppose 4490 = -30*l - 4720. Round l to the nearest 100. -300 Let t = 204 + -124. Let i = t - 80.0000006. What is i rounded to 7 dps? -0.0000006 Let k = -7538231 - -38038231. Round k to the nearest one million. 31000000 Let b be 60/14 - 10/35. Suppose 0*d - 2*d = -b*s - 61999994, 4*s + 61999997 = d. Round s to the nearest 1000000. -16000000 Let g = 260 + -259.999999183. Round g to 7 decimal places. 0.0000008 Let p = 4047544.6 + -222560310.6. Let r = p + 218512694.9999891. Let t = -71 - r. What is t rounded to 6 dps? 0.000011 Suppose -5*j = -j. Suppose 5*c - 3*a - 5 + 2 = j, 24 = 4*c + 3*a. Let n be -200005 + c - (-1 + -1). What is n rounded to the nearest 100000? -200000 Let u = -4014 + 4014.1821. What is u rounded to 2 dps? 0.18 Let j = -74 + 177. Let r = j + -103.00000064. What is r rounded to 7 decimal places? -0.0000006 Let m = -0.216 + 2.356. Let r = m - 4.52. Let a = r - -2.9. Round a to 1 decimal place. 0.5 Suppose j - 31 = -7. Let h = j - 9. What is h rounded to the nearest 10? 20 Let v = -36.9 - -37.01. What is v rounded to 1 decimal place? 0.1 Let j = 40.67 + 0.33. Let c = j - 25. Let b = c - 15.985. Round b to 3 dps. 0.015 Let h be 2/10 + (-152)/(-40). Suppose j = h*j - 9. Let p be j/(-2)*(-2080)/6. What is p rounded to the nearest 100? 500 Let q be ((-153)/24)/(-17) + (-2251)/8. What is q rounded to the nearest one hundred? -300 Let l = 1.31 - -6.54. What is l rounded to the nearest integer? 8 Let w = 72 - -178. Let z = w - 250.0000484. What is z rounded to 5 dps? -0.00005 Let v = -1679 + 1678.84675. What is v rounded to two decimal places? -0.15 Let b be -1 + 75606 - 2 - 318/106. Round b to the nearest 10000. 80000 Let o = -52077 + 52043.643. Let g = 0.143 - o. Round g to zero dps. 34 Let c = -11 - 10. Let w = c + 21.33. Round w to one dp. 0.3 Let i be 24*20/480 + 12496/1. What is i rounded to the nearest one thousand? 12000 Let m = 8357 - 8348.597. Let p = m + -0.003. Let t = -7.89 + p. Round t to one decimal place. 0.5 Let a = -1750.1 - -1750.1010771. What is a rounded to 4 dps? 0.0011 Let z(h) = -49*h**3 - h - 10. Let t be z(-1
{ "pile_set_name": "DM Mathematics" }
-3 - (-237)/r composite? False Suppose 7*p + 279 - 216 = 0. Let n(q) = -42*q + 7 + 9 + 3. Is n(p) a prime number? True Let p(h) = 3*h**2 + 10*h + 9. Let y be (-21)/(-12) + -2 - 46/8. Is p(y) composite? True Suppose -6*v = -16*v + 6890. Is v composite? True Suppose -g = 4*t + 2*g - 168, 3*t + 5*g = 137. Let i = -3 - -27. Let d = t - i. Is d composite? True Let o(p) = 7*p**3 - 4*p**2 - 2*p + 2. Let a = -23 + 11. Let i = -9 - a. Is o(i) composite? False Suppose 30330 = r + c, -2*c + 0*c + 30325 = r. Is r composite? True Let m be (34/(-4))/(-1 - (-1)/2). Suppose m*n - 1269 = 1009. Is n prime? False Suppose 0 = 2*c - 9 + 23. Let g = 978 - c. Is g composite? True Let b(j) be the third derivative of 3*j**5/20 - 5*j**4/24 + 7*j**3/2 + j**2. Is b(7) a prime number? False Suppose 41*f - 720 = 4897. Suppose 0 = 4*r - 3*y - 1119, 2*y + 771 - 213 = 2*r. Let p = f + r. Is p a prime number? True Let x = -20 + -10. Let l = x - -45. Is ((-10)/l)/((-2)/66) prime? False Is (4373970/12)/((-65)/(-26)) prime? True Let t(n) be the first derivative of 88*n**3/3 + 8*n**2 + 7*n + 5. Is t(6) prime? True Let p = 14243 + -9324. Is p a prime number? True Let o = 14571 - 6018. Is o composite? True Suppose 2326 = 17*m - 15*m. Let s = m - 276. Is s composite? False Let f be (-3)/(-6)*(4 + -2). Let k(g) = 22*g + 2 - 21*g + 0*g**2 + f + 2*g**2. Is k(-4) a prime number? True Let o = -9562 + 13973. Is o a prime number? False Let r = 6624 - 2911. Is r a composite number? True Let f be (-32670)/50 + (-2)/(-5). Let i = 1125 + f. Suppose -4*r + 4*x = -i, -3*x + 599 = 5*r + x. Is r a prime number? False Let j = 19 - 13. Let o = -10 + 6. Is (-118)/o*(-4 + j) a composite number? False Suppose -3*t + 1297 = 3*m - m, -m - 4*t + 661 = 0. Is m prime? True Let u be (-1 + 2)*81/9. Is (-3)/((-108)/17524) - (-2)/u a prime number? True Let m = -313 - 6906. Let t = -5103 - m. Suppose -5*d + t = -d. Is d composite? True Let v(h) = h**2 - h + 1. Let t be v(-3). Let f(d) = t + 4 + 0 - d**2 + 13*d. Is f(14) prime? True Let l(g) = -g**3 - 5*g - 18. Let w be l(-14). Let i = w + -1700. Suppose 303 = t - i. Is t a composite number? False Let o = -1 + 3. Suppose 0 = -h + 6*h - 25, -o*r - 4*h = -30. Suppose -3370 = -r*m - 3*j, 5*j = m - 518 - 184. Is m a composite number? False Let u(x) = 27*x**3 + 5*x**2 + 12*x - 3. Is u(7) prime? True Let y = -5788 - -9387. Is y a prime number? False Let v(u) be the first derivative of 215*u**3 - u + 4. Let m be v(1). Let i = -327 + m. Is i composite? False Let w(n) = n + 6. Let v be w(-3). Suppose h = -b - 2, 0 = 5*h + v*b - 2*b + 2. Suppose 0*p + x = 2*p - 104, p + x - 55 = h. Is p prime? True Let i(t) = 173*t**2 - 4*t + 5. Suppose 4*b + 6 = 2. Let n be (-20)/(-8) - b/(-2). Is i(n) a composite number? True Let c(n) be the third derivative of n**5/60 + n**4/8 - 5*n**2. Let p be c(-4). Is (2/p)/(4/1016) a composite number? False Is 4034*(7 + -7 + 1) composite? True Let a(x) = -x**2 + 10*x + 15. Suppose 2*r + w = 23, 5*r = r - 3*w + 47. Let c be a(r). Is (-50)/(-15)*222/c prime? False Let f = 32052 - 18799. Is f composite? True Suppose -61636 = -5*q + 2*z + 5*z, 12 = -4*z. Is q prime? True Suppose c = -3*t + 6*c + 28, -4*t + 4*c + 32 = 0. Suppose -142 = -t*g + 4*g. Let b = g + -40. Is b a prime number? True Let o = 2895 - 1700. Is o a prime number? False Let k = 565 - 374. Is k prime? True Let l = -88 - -85. Is 492 - (-4)/(-12)*l a composite number? True Let j be (-6)/9*(-51)/2. Suppose 0 = -5*g - 4*z + 433, -j = 5*z - 2. Is g composite? False Suppose 7*g = 2*g - 4*f + 6843, 4*g - 5462 = 3*f. Is g composite? False Let s be (-4)/14 + (-27)/(-21). Let q(k) = 76*k**2 + 3*k - 2. Is q(s) a composite number? True Suppose -2043 - 12736 = -3*o - 5*l, -5*l = o - 4943. Is o composite? True Let a = -132 - -136. Is 165740/100 + a/(-10) a composite number? False Let r(x) = -3*x**3 + 11*x**2 + 10*x - 26. Is r(-9) a prime number? False Let q(j) = 12842*j - 189. Is q(2) a prime number? False Let t be (-2)/2*(-4 + 1). Suppose 4*h + 2*o - 152 = t*o, 3*o = h - 49. Is h a prime number? True Let y be (-3 + 3 - 0)*1. Suppose y = -3*a + 8*a. Suppose g = -b + 145, a*g + 4*g = b - 165. Is b a prime number? True Suppose 0*o + 8 = 4*o. Suppose -3*s - z + 173 = -5*z, -279 = -5*s + o*z. Is s a prime number? False Let z be -3*(-421)/6*2. Suppose -2*m + 1689 = -z. Suppose 1 = -i, -4*s - 5*i + m = -0*s. Is s prime? False Suppose -2*z = -5*s - 4*z + 16, -14 = -s + 5*z. Suppose -l + 0*l = -s*v - 1353, 4*v - 6813 = -5*l. Is l prime? True Is 71*30 - 3 - (-10)/5 a prime number? True Suppose 9224 = 2*f + 1960. Let u = f + -1579. Is u composite? False Let g be ((-344)/(-5))/(68/170). Suppose -185 - g = -3*v. Is v prime? False Suppose 0 = -4*d - 5*s + 9228, 2*d - 6*d + 9228 = -2*s. Let k = d + -638. Is k a composite number? False Let a be 18*((-36)/(-8) - 4). Suppose -a*h + 11460 = -5*h. Is h/(-60)*4/(-1) prime? True Suppose -3716 = -5*t + 4*z + 3287, -4*t - 2*z + 5592 = 0. Is t a composite number? False Let l be 4*21 + (8 - 7). Suppose 5*w = 4*z + l, -w - 3*z = -3*w + 41. Suppose -2*q - 31 = -c, -106 = -3*c + 2*q - w. Is c a composite number? False Let z(n) = -61*n**2 - 5*n + 4. Let l(j) = j + 1. Let p(x) = -l(x) - z(x). Is p(2) a prime number? False Is (408/(-36) - -12)/(4/121362) composite? True Suppose -2*d = g - 25809, 126*d - 121*d - 103251 = -4*g. Is g composite? False Let x = 100131 - 44162. Is x composite? True Suppose 5*g + 4*g = 36. Is 1796 - (-4)/(g/5) prime? True Suppose 0 = -3*p + 12226 + 15293. Is p prime? True Let h = 698 - 134. Suppose 2*z - 165 = -3*m, 5*m - z = 296 - 21. Let w = h - m. Is w a prime number? True Let s = 191 + 598. Is s prime? False Let u(n) = -27*n**2 - 43*n - 11. Let j(x) = 14*x**2 + 21*x + 5. Let h(z) = 7*j(z) + 3*u(z). Is h(5) a composite number? True Let u = -1752 - 97. Let c = -1080 - u. Is c prime? True Let r = -33 + 20. Let n = 25 + r. Suppose 0 = -s - 3*j + 10, 2*s - 20 = -2*j + n. Is s composite? False Suppose -2*y - 46 = 4*h, 4*y + 5*h = h - 72. Let s be (-11 - y)*(-78)/(-4). Is 37173/s + (-2)/13 prime? True Suppose 31*w - 371672 = -25*w. Is w a prime number? True Is (-24)/54 + (-3777914)/(-126) composite? False Let x(c) = 7*c**2 - 4*c - 1. Let v = 37 - 13. Let g = -20 + v. Is x(g) prime? False Suppose 0*m + 112458 = 6*m. Is m a composite number? False Let k(f) = 2*f**2 - 26*f + 114. Is k(-22) composite? True Let q(b) = b**3 + 16*b**2 + 2*b - 7. Let d be q(-11). Suppose 11*g - 6*g = 2*l - d, -2 = -g. Is l a prime number? True Let r = -5198 + 13369. Is r composite? False Suppose -3*f + 1815 = -2*s + 69, f = 3*s + 575. Let m(r) = -251*r + 4. Let i be m(1). Let w = i + f. Is w a prime number? True Let c(b) = -b**3 - 35*b**2 + 85*b + 18. Is c(-39) a prime number? False Let r(b) = -1650*b + 578. Is r(-10) a prime number? False Suppose 0 = -12*h + 7*h - 5*t + 17755, -3*h + 4*t + 10625 = 0. Is h prime? True Let x(o) = -o**3 + 47*o**2 - 62*o - 93. Is x(41) prime? True Let k(v) = -v**3 + 6*v**2 - 5*v + 9. Let z be k(5). Suppose -3*n = -z, 3*n = -w + 54 + 206. Is w a prime number? True Suppose y + 84 = 2*i, -2*y = 2*y - 4*i + 348. Let u = y - -291. Is u composite? True Let c(u) = u**3 - 8*u**2 - 9*u. Let i be c(9). Suppose i = b + 253 + 41. Is -1 - (b + 0/(-2)) prime? True Suppose 14*m = -3*b + 16*m + 7977, 0 = -2*b - m + 5311. Is b composite? False Suppose -2*r = x - 17, 19 + 2 = 2*r + 5*x. Suppose -110 = -r*m + 546. Is m composite? True Is (-5 - -10) + 930 + 2 composite? False Suppose -3*c - 3292 = -g + 2*c, g + 2*c - 3299 = 0. Let v = -2270 + g. Is v a prime number? False Let i(u) = 1539*u - 698. Is i(5) composite? False Is (-216148)/8*2*(-9 - -8) a prime number? True Let o(l) = 4*l**3 + 47*l**2 - l - 2. Let f(d) = 3*d**3 + 31*d**2 - d - 1. Let w(s) = -7*f(s) + 5*o(s). Is w(14) a composite number? False Suppose -2*n = -5*n - 6. Is (1/n)/((-3)/726) a prime number? False Suppose -7*v = -39 - 38. Suppose -5*k + v*k = 3930. Is k a prime number? False Is (-1075319)/(-112) + (-3)/48 a composite number? False Let b = 397 + -26. Is b a composite number? True Let k = -68 - -72. Suppose -k*d - 1411 = -4487. Is d composite? False Suppose p - 1736 = -4*w - w, -6 = -3*w. Is p a composite number? True Let m = 165692 + -109123. Is m prime? True Let w = 23 - -661. Suppose 5*k + 4*p -
{ "pile_set_name": "DM Mathematics" }
-5 Let t = 23 + -22. Put t, -4, -2 in descending order. t, -2, -4 Let r be 0 + (0 - (1 - 4)). Let a be -3 + (-100)/(-35) + (-81)/21. Put r, 5, a in decreasing order. 5, r, a Let f(o) = -6*o + 134. Let r be f(21). Sort r, -3, -10 in descending order. r, -3, -10 Let h(i) = -i - 7. Let n be h(-7). Put n, 3, 2 in increasing order. n, 2, 3 Let b = -23 + 18. Put b, 5, 1, -0.5 in ascending order. b, -0.5, 1, 5 Let b = 9 - 10. Sort -2, 19, b in ascending order. -2, b, 19 Let w = -10 - -9.9. Let v = w + 0.3. Sort v, -0.1, 1/9. -0.1, 1/9, v Let u be 3*(-14)/6 - 1. Put 1/8, u, 2/3, -2 in decreasing order. 2/3, 1/8, -2, u Let t = 4 + 0. Let u(w) = -w**2 - 9*w - 19. Let k be u(-5). Sort t, k, -1 in ascending order. -1, k, t Let u = -1.2 + 2.2. Put 2, u, 4 in increasing order. u, 2, 4 Let o = -0.15 - -0.12. Let m = 0.07 - o. Sort m, -2, -3 in descending order. m, -2, -3 Let g = 98/3 + -32. Let c = -0.99 + 1.99. Put c, -0.3, g in increasing order. -0.3, g, c Let r(u) = -u**3 - 6*u**2 + 5*u - 5. Let x be r(-7). Let j(v) = -v + 6. Let k be j(x). Sort 0, 5, k. k, 0, 5 Let a be -2*3/2 - 6. Put 4, -3, a in descending order. 4, -3, a Let n = 33/2 + -63/4. Put n, 6/7, -1/7 in descending order. 6/7, n, -1/7 Let t = 7 + 0. Suppose 5 - 1 = 2*w. Put t, w, -1 in descending order. t, w, -1 Let i = -3 + 3. Sort i, -5, 5 in descending order. 5, i, -5 Suppose 0 = -2*k - 4, 3*l + 17 = 8*l - k. Let j(a) = a**3 - 5*a**2 + 4*a + 1. Let q be j(l). Sort 3, -4, q. q, -4, 3 Let b = 12 - -22. Put 2, 4, b in decreasing order. b, 4, 2 Suppose -3*s = 2*s. Suppose 5*h - 22 + 7 = s. Sort h, 2, 5 in decreasing order. 5, h, 2 Let l(d) = 3*d**2 + 11*d - 9. Let y(b) = -5*b**2 - 22*b + 18. Let c(w) = 7*l(w) + 4*y(w). Let s be c(10). Put -2, -3, s in ascending order. -3, -2, s Suppose 6*h + 8 = 2*h + 4*i, 5*h + 4*i - 35 = 0. Sort 4, -2, -5, h in decreasing order. 4, h, -2, -5 Suppose -i - 1 = 4. Let o = 0.3 + -0.3. Put i, o, 2 in descending order. 2, o, i Suppose 26 = 2*a + 24. Put -6, 6, a, 4 in decreasing order. 6, 4, a, -6 Let r = -32/9 + 10/3. Let f(k) = k**2 + 3. Let s be f(0). Let n = 3 - 6. Put s, n, r in descending order. s, r, n Suppose 0 = -h + 6. Let z be (-6)/15*(-15)/h. Put z, 5, -2 in ascending order. -2, z, 5 Let s = -119 - -124. Let p(h) = -2*h - 3. Let t be p(-3). Put 0.4, s, t in descending order. s, t, 0.4 Let c(j) = -j - 2. Let u be c(-3). Let z = 1 + u. Let a be 1/((-14)/49 - (-9)/(-42)). Put -3, z, a in decreasing order. z, a, -3 Suppose 0 = m + 3*m + 20. Sort 5, -11, m in increasing order. -11, m, 5 Suppose 0 = 3*w + 9. Suppose 0 + 10 = 5*l. Sort l, w, 3. w, l, 3 Suppose -5*q = -72 + 27. Let c be q/(-24)*(-4)/9. Put -4, -0.5, c in increasing order. -4, -0.5, c Suppose 2*m - 6 = 2*t - m, -6 = 2*t - 2*m. Let k = t + 2. Let r be (-9)/(-6)*1/(-3). Put r, k, 0 in descending order. 0, r, k Suppose -2*i = -2*z - 6*i + 26, 3*z = 3*i + 3. Let a be (2/(-3))/((-14)/(-105)). Sort z, -7, a in decreasing order. z, a, -7 Let c = -44.3 + 44. Sort c, -1/4, 2 in ascending order. c, -1/4, 2 Let q = -1.8 + 0.8. Put 2/15, q, 4 in ascending order. q, 2/15, 4 Let w = 2 - 5. Let r = -10 + 6. Suppose 2*c + 3*c - 10 = 0, -f + 5*c = 7. Put r, w, f in ascending order. r, w, f Let n = 6.55 - -0.15. Let a = 0.04 + -7.04. Let j = n + a. Put 0, j, 0.4 in decreasing order. 0.4, 0, j Let a = 0.03 + 5.97. Let o = a - 3. Sort o, 0.3, -0.2 in descending order. o, 0.3, -0.2 Suppose 3*a - 5 = -4*o, 0 = -10*a + 5*a - o + 31. Put 5, a, -5 in increasing order. -5, 5, a Let n = 0.38 + 0.02. Let w(b) = b**3 + 7*b**2 + 6*b + 2. Let k be w(-6). Sort n, k, -0.5. -0.5, n, k Let b be (-1 + -7)*(-27)/(-36). Let v = 7 + b. Let c(m) = -m + 5. Let z be c(5). Put -1, v, z in ascending order. -1, z, v Let w = 10.16 - 0.16. Let q = w - 8. Let k = q + -1.8. Sort 5/2, -4, k in decreasing order. 5/2, k, -4 Let s be -2 - ((-3)/(-3) + -2) - 1. Put -3, -4, s, 3 in decreasing order. 3, s, -3, -4 Let p(u) = -4*u - 1. Let o be p(-1). Let b be (-12)/(-2 + -2) - 4. Put o, -2, b in ascending order. -2, b, o Let a = -0.31 + 0.18. Let i = 0.03 + -0.1. Let r = i + a. Put -5, 0.4, r in decreasing order. 0.4, r, -5 Let r = 54 + -57. Put -1, r, -0.4, -1/2 in ascending order. r, -1, -1/2, -0.4 Suppose 5*q - 4*i = 2*q + 31, 5*i + 45 = 5*q. Sort q, 0.4, 1/30 in decreasing order. q, 0.4, 1/30 Let s = 5492/15 - 366. Sort -0.3, -1/15, 0.5, s in increasing order. -0.3, -1/15, s, 0.5 Suppose 52 = 3*c + 4. Let l be -2 - (1 + c/(-2)). Let n = -10/19 + -37/38. Put n, l, -2 in decreasing order. l, n, -2 Let w(r) = -r**2 + 7*r - 4. Let x be (-136)/(-22) - 14/77. Suppose x + 0 = m. Let u be w(m). Sort u, 4, -1. -1, u, 4 Let a = 12 - 16. Let r = 3.3 - 0.3. Let t = -3.5 + r. Sort t, -5, a in descending order. t, a, -5 Let v(w) = -w**3 - 6*w**2 - 4*w. Let z be v(-5). Sort 3, 0.2, z. z, 0.2, 3 Suppose -6 = i + 2*q + 2, 5*q = -10. Let c(a) = a**2 - 2*a + 2. Let s be c(2). Sort s, -2, i in descending order. s, -2, i Let q(s) = s**2 - 12*s + 12. Let t be -3*(-5)/((-15)/(-9)). Let m be q(t). Let d be 6/m - 64/(-110). Put d, -2, 2 in descending order. 2, d, -2 Let r be 2/(-1 - 1)*-5. Let l = 0.42 + -0.02. Let x(g) = g**3 + 5*g**2 - 5. Let d be x(-5). Sort r, d, l in decreasing order. r, l, d Let i(o) = -2*o**2 - 5*o + 4. Let z be i(-3). Sort -1, -6, z. -6, -1, z Let z = 7/20 + 3/20. Let u(n) = 4*n - 7. Let h be u(3). Sort h, z, 2. z, 2, h Let l(t) = t**3 + 10*t**2 + t + 11. Let u be l(-10). Let g(b) = b + 1. Let j be g(3). Put j, u, -4 in decreasing order. j, u, -4 Let g = -5 - -7. Suppose -1 = 2*t - h, 5*h = -g*t + 2*h - 21. Let j be (2/(-18))/(8/(-12)). Put -0.5, j, t in descending order. j, -0.5, t Let k = -0.11 - -0.03. Let n = -4.08 - k. Sort n, -0.2, 1. n, -0.2, 1 Suppose 2*x = 8, 0 = -0*r - 4*r + 5*x. Sort r, -5, 17 in descending order. 17, r, -5 Let p = -148 + 145. Suppose 0 = -5*g - 3*q - 0*q + 21, 0 = -g - 2*q + 7. Sort -3/2, p, g in increasing order. p, -3/2, g Let q be 3 - (-4 - 38/(-5)). Sort -0.5, 0, q. q, -0.5, 0 Let s = 0.19 + -0.29. Let n = -153/7 - -22. Suppose 4*h + 3*r = -5, 0 + 1 = -h - r. Put s, n, h in descending order. n, s, h Let c = -53.3 + 53. Let s = -2 - -2.5. Sort -1, c, s. -1, c, s Suppose 2*m + 3 = -m. Sort 1, 5, 6, m. m, 1, 5, 6 Let a = 2.1 - 2. Put 0, a, -4 in ascending order. -4, 0, a Let j = -1 - -2. Suppose 6 = m + 2, 0 = 5*r - 5*m. Put -4, r, j in ascending order. -4, j, r Let c = 94 - 98. Sort 1, c, 4, 2. c, 1, 2, 4 Let b = 3 - 3.2. Suppose 12 = 5*h - 38. Let q = h - 14. Sort -1/2, b, q. q, -1/2, b Suppose 0 = 3*w + 7 - 25. Let n be (-1)/(6/4)*w. Sort -2, -3, n. n, -3, -2 Let z = 0.3 + -1.3. Let p = -0.6 + 0.6. Let s = p - z. Sort s, -4, -0.1 in ascending order. -4, -0.1, s Let j = 10 + -6. Suppose 1 = -j*z - 3. Put z, 3, 2 in increasing order. z, 2, 3 Let u = -42 - -45. Sort -5, u, 0.3 in descending order. u, 0.3, -5 Let d = -1.29 + 0.29. Let r = -0.8 - 3.2. Let g be (-3)/(-2)*(-5)/(-10). Put d, r, g in ascending order. r, d, g Let s = -6 + 6. Let v = 0 + s. Put 1/5, -2/15, v in increasing order. -2/15, v, 1/5 Let y = 0.06 - -4.94. Sort y, -0.5, 2/11. -0.5, 2/11, y Suppose 0 = q + 3*q - n + 7, 4*n - 15 = 3*q. Sort q, -5, -2 in ascending order. -5, -2, q Let w(a) = -a**2 + 3*a + 2. Let s be w(3). Let h(c) = 5*c - s - 4*c - 2. Let z be h(2). Sort 4, -3, z in descending order. 4, z, -3 Let p = -4 - 0. Let l = 17 - 9. Let c be (-10)/(-12) - 4/l. Put p, c, 4 in decreasing order. 4, c, p Suppose 0 = f - 2*f + 10*f. Let s(u) = -u**3 + 2*u**2 + u + 2. Let x be s(3). Put x, 3, f in descending order. 3, f, x Let p be 12*2/(-8)*-2. Suppose -p*s - 6 = -4*s. Let h = -408 + 408. Put 1, h, s in ascending order. s, h, 1 Let c be 4/(-6) + (-40)/48. Let j = -0.09 + 5.09. Sort j, 3/4, c in increasing order. c, 3/4, j Let m = -6.4 + 1.4. Let a be (-2)/12 - (-6)/(-18). Sort a, m, -3. m, -3, a Suppose -2*h - 4*q + 6 = 0, -5*h + q - 2*q = 21. Sort 1, h, 2 in ascending order. h, 1, 2 Suppose -3*h - 2*h = -5. Sort 4, h, -2 in increasing order. -2, h, 4 Let o be 0*4/(-12) + 2. Let k be o + (3 - (2 - 1)). Put k, 1, -5 in ascending order. -5, 1, k Let g = 0.06 - 4.06. Let d = 4 - 9. Let w = g - d. Sort -4, -0.1, w. -4, -0.1, w Let s = 5.4 + 0.6. Let g = s - 8. Let l = -2.2 - g. Put -1/2, l, -1/7 in ascending order. -1/2, l, -1/7 Let c be 1 - (0 - 27
{ "pile_set_name": "DM Mathematics" }
j**3/3 - 2*j**2 - 4. Let h(a) be the third derivative of u(a). Solve h(z) = 0 for z. 2/5, 1 Suppose 5*k = -5*s + 75, 1 - 16 = -5*k. Suppose -5*h - 14 = 3*l, 6*l + s = 4*l - 4*h. Factor -95*x + 36*x**l - 49*x - 77 + 140 + 129 - 3*x**3. -3*(x - 4)**3 Let l(o) = -o**4 - o**3 - 6*o. Let j(t) = -48*t**3 - 350*t**2 - 738*t. Let a(b) = j(b) + 2*l(b). Suppose a(p) = 0. What is p? -15, -5, 0 Let l(p) be the second derivative of 0*p**4 - 1/840*p**6 - 31/6*p**3 - 3/280*p**5 + 0 + 0*p**2 - 25*p. Let a(k) be the second derivative of l(k). Factor a(y). -3*y*(y + 3)/7 Suppose -4*v + 2*y = 862 + 2872, -3*v - 4*y - 2828 = 0. Let p be (v/10)/((-6)/60*3). Factor -75 - 507*o**2 + p*o + 14 + 13. -3*(13*o - 4)**2 Let m(k) be the second derivative of -11/30*k**5 - 3*k + 4/9*k**4 + 4/9*k**3 + 1/15*k**6 + 0*k**2 + 1. Solve m(p) = 0. -1/3, 0, 2 Suppose 8*m + 193 = -23. Let d = m - -27. Factor 65*l**3 - 6*l**4 - 68*l**3 + 3*l**5 + d*l**4 + 6*l**2. 3*l**2*(l - 2)*(l - 1)*(l + 1) Let k(a) be the third derivative of -a**6/120 - 26*a**5/15 - 745*a**2. Determine t, given that k(t) = 0. -104, 0 Let n(i) be the first derivative of 2*i**3/3 + 696*i**2 + 1390*i + 2197. Factor n(b). 2*(b + 1)*(b + 695) Let w(h) = h + 16. Let g be w(-13). Factor -753*p**3 + 30*p - 18*p**2 - 18 + 3*p + 756*p**g. 3*(p - 3)*(p - 2)*(p - 1) Suppose 2*l + 2*l - 8 = 0, 2*v + l = -2. Let n(q) = 3*q**2 + 4*q. Let p be n(v). Factor 2/3 - 1/3*w**3 - w**2 + 1/3*w + 1/3*w**p. (w - 2)*(w - 1)*(w + 1)**2/3 Let c = -1254341 - -6271706/5. Let r be (-1 - -2) + (-2)/5. Factor 2/5*b - r*b**2 + c. -(b - 1)*(3*b + 1)/5 Let o(z) be the first derivative of 66*z**5/5 - 201*z**4/4 + 47*z**3 - 3*z**2 + 5985. Factor o(m). 3*m*(m - 2)*(m - 1)*(22*m - 1) Let z(w) = -4*w**2 + 887*w - 904. Let a(g) = -3*g**2 + 444*g - 453. Let x(m) = -7*a(m) + 4*z(m). Let x(h) = 0. Calculate h. -89, 1 Suppose 0 = 15*s - 8*s - 504. Factor 2*k - s - 24*k - 26*k + 22*k**2 - 2*k**3. -2*(k - 6)**2*(k + 1) Let v(o) be the first derivative of -1/5*o**5 + 5/4*o**4 - 112 + 0*o + 2*o**2 - 8/3*o**3. Solve v(q) = 0 for q. 0, 1, 2 Suppose 604*g - 864 = 572*g. Suppose g*o - 43*o + 32 = 0. Suppose o*h**3 + 0 + 3/2*h**4 + 1/2*h**2 + 0*h = 0. What is h? -1, -1/3, 0 Let f be 3/(1*-14 + 30976/2178). Solve f + 3/4*x**2 + 57/4*x = 0. -18, -1 Let k(q) = 9*q**3 - 45*q**2 - 218*q - 192. Let y(t) = 4*t**3 - 22*t**2 - 110*t - 96. Let g(p) = -6*k(p) + 14*y(p). Factor g(j). 2*(j - 24)*(j + 1)*(j + 4) Factor 0*z**2 - 49/2*z**3 - 1/2*z**4 + 0*z + 0. -z**3*(z + 49)/2 Let y(o) be the third derivative of o**5/510 + 91*o**4/102 + 8281*o**3/51 - 4*o**2 + 77*o. Determine k so that y(k) = 0. -91 Let d(b) = 4*b**2 + 197*b + 809. Let v(j) = -j**2 + j + 3. Let k(r) = -4*d(r) - 20*v(r). Determine u so that k(u) = 0. -4, 206 Suppose -5*s**5 - 15964*s**3 + 0 + 110*s**4 + 1170*s**2 + 15289*s**3 + 0 = 0. Calculate s. 0, 3, 6, 13 Let x(w) = -11*w**2 + 33*w + 374. Let h(z) = -35*z**2 + 96*z + 1121. Let s(n) = -4*h(n) + 13*x(n). Factor s(a). -3*(a - 21)*(a + 6) Find q such that 51656384*q - 3*q**3 + q**3 - 51656384*q + 294*q**2 = 0. 0, 147 Let p(i) be the first derivative of -16*i**5/5 + 129*i**4 + 132*i**3 + 1801. Factor p(v). -4*v**2*(v - 33)*(4*v + 3) Let x = 2/191543 - -1149244/1340801. Suppose -x*q**4 + 48/7*q**2 + 0 - 6*q**3 + 0*q = 0. What is q? -8, 0, 1 Let b(w) be the first derivative of -2*w**5/75 + 19*w**4/15 - 170*w**3/9 + 1156*w**2/15 - 1226. Factor b(k). -2*k*(k - 17)**2*(k - 4)/15 Suppose -54 = -14*f + 16. Factor -53*u**3 + 23*u**3 + f*u**2 + u - u + 25*u**4. 5*u**2*(u - 1)*(5*u - 1) Let v = -75/6193 - -99313/18579. Factor 16/3 + 4/3*b**3 - v*b**2 - 4/3*b. 4*(b - 4)*(b - 1)*(b + 1)/3 Let t(d) = -d**3 - 9*d**2 - 23*d - 12. Let s be t(-5). Let 60*p**s - 44*p + 4*p**4 + 92*p**2 + 33*p**3 - 145*p**3 = 0. What is p? 0, 1, 11 Let a(i) be the first derivative of 2/9*i**6 - 11/3*i**4 - 32/3*i - 52/3*i**2 - 116/9*i**3 + 4/15*i**5 - 56. Factor a(r). 4*(r - 4)*(r + 1)**3*(r + 2)/3 Let h(y) be the first derivative of -y**8/175 - y**7/150 + y**6/45 - 6*y**3 - y**2 + 146. Let u(g) be the third derivative of h(g). Factor u(m). -4*m**2*(3*m - 2)*(4*m + 5)/5 Suppose -2*s + 3*c - 2 = 0, c = -25 + 29. Factor -129*n**4 + 3*n**4 - 91767*n**3 + 3*n**s + 93090*n**3. 3*n**3*(n - 21)**2 Let m(g) = -g**2 + 11*g + 2. Let k(s) = 5*s**2 + 2740*s + 1937656. Let u(r) = k(r) + 4*m(r). Determine p, given that u(p) = 0. -1392 Let n(m) be the second derivative of -m**7/14 + 39*m**6/10 - 477*m**5/10 - 599*m**4/2 - 1281*m**3/2 - 1323*m**2/2 - 14*m - 27. Factor n(q). -3*(q - 21)**2*(q + 1)**3 Let w = 356217 + -356215. Let -1/8*v**4 - 1/2 + 1/2*v + 3/8*v**w - 1/4*v**3 = 0. What is v? -2, 1 Let t = 1/97744 + 3909747/1270672. Factor t*o + 8/13*o**2 + 50/13. 2*(2*o + 5)**2/13 Let w = -38 - -40. Let m be -8*(3 - w - 2). Factor -m*z - 3*z**3 + 23*z**2 - 3*z**2 - 9*z**3 + 0*z**2. -4*z*(z - 1)*(3*z - 2) Let w = -49/1412 - -3461/18356. Factor 0 - 12/13*f + w*f**3 - 10/13*f**2. 2*f*(f - 6)*(f + 1)/13 Let q(v) be the second derivative of v**4/12 + 26*v**3/3 + 235*v**2/2 - 1575*v. Factor q(h). (h + 5)*(h + 47) Let n(z) be the third derivative of -z**8/40320 - z**7/1440 - z**6/120 - 7*z**5/60 - z**4/24 + 134*z**2. Let d(l) be the third derivative of n(l). Factor d(x). -(x + 3)*(x + 4)/2 Let o(h) be the first derivative of -3*h**5/25 + 53*h**4/10 - 1003*h**3/15 + 578*h**2/5 + 505. Factor o(s). -s*(s - 17)**2*(3*s - 4)/5 Suppose -4*z - a = -33, -4*z - 4*a + 21 = -3. Suppose s + z = 11. Determine k so that 4 - 10*k + 2*k**5 + 8*k**3 - 6*k**s - 8*k**4 - 3*k**2 + 13*k**2 = 0. -1, 1, 2 Let f be (-4)/(-44) + (7 - 1752/396). Find y such that -10/3*y - f*y**2 + 0 + 2/3*y**3 = 0. -1, 0, 5 Let y(j) be the second derivative of 3*j**6/10 + j**4/12 + 5*j**2/2 + 64*j. Let o(w) = -2*w**4 - w**3 + w**2 - 1. Let a(m) = 5*o(m) + y(m). Factor a(n). -n**2*(n - 1)*(n + 6) Factor -2/5*n**2 + 646/5*n - 644/5. -2*(n - 322)*(n - 1)/5 Suppose -d - t = -134, 2*t - 44 = 4*d - 568. Suppose 5 + 167*i + d*i**2 - 968*i**3 + 14 - 10 + 7 - 23*i = 0. What is i? -2/11, 1/2 Let c be (-24)/36 + 77/21. Solve 1/2*m**4 - 2*m**2 + 4*m - c*m**3 + 0 + 1/2*m**5 = 0 for m. -2, 0, 1, 2 Let -142*b - 140*b**2 - 73*b**3 + 217*b**3 - 103*b**5 + 140*b**4 + 27*b**5 + 74*b**5 = 0. Calculate b. -1, 0, 1, 71 Let v = -63499/11 - -5773. Let u(a) be the second derivative of -1/66*a**4 + 0 + 2*a - 1/11*a**3 + v*a**2. Suppose u(s) = 0. What is s? -4, 1 Suppose 0 - 2/9*p**5 - 100/9*p**3 + 0*p**2 + 0*p - 34/3*p**4 = 0. Calculate p. -50, -1, 0 Factor -25*z**2 - z - 31*z + 2*z**4 - 9*z**2 - 28*z**3 - 30*z**2 + 2*z**2. 2*z*(z - 16)*(z + 1)**2 What is g in 0 - 1/4*g**2 + 1/4*g = 0? 0, 1 Let c = 41/15436 - -802467/77180. Factor -c*m - 33/5 + m**2. (m - 11)*(5*m + 3)/5 Let k = 32/9 - 134/63. Let r = 2753/14 - 391/2. Factor 0 + r*t**2 + 2/7*t**4 - k*t**3 + 0*t. 2*t**2*(t - 4)*(t - 1)/7 Let w(j) be the third derivative of j**6/480 + 73*j**5/240 + 1365*j**2. Factor w(v). v**2*(v + 73)/4 Find w such that -132*w - 126*w**2 - 127*w**2 + 329*w**2 + 5*w**4 - w**4 + 52*w**3 = 0. -11, -3, 0, 1 Let g(o) be the second derivative of o**4/12 + 211*o**3/6 + 105*o**2 + 2409*o. Find h, given that g(h) = 0. -210, -1 Let n = 335 + -81. Let 1 - n*u - 35*u**2 + 72 - 3 + 19*u = 0. What is u? -7, 2/7 Let i(p) = -43*p - 28 - 26*p + 30*p - 36*p - 50*p**2 - 19*p**3. Let b(r) = -12*r**3 - 33*r**2 - 50*r - 19. Let u(z) = 8*b(z) - 5*i(z). Factor u(w). -(w + 1)**2*(w + 12) Let r(v) = 361*v - 18409. Let h be r(51). Find l, given that -4/3 + 0*l + 1/3*l**h = 0. -2, 2 Factor 10/3 - 7/4*r**2 + 3/2*r + 1/12*r**3. (r - 20)*(r - 2)*(r + 1)/12 Let c(l) be the first derivative of -8/3*l - 56 - 1/6*l**4 - 32/9*l**2 - 46/27*l**3. Factor c(f). -2*(f + 1)*(f + 6)*(3*f + 2)/9 Let j(f) = -7*f**4 + 784*f**3 + f**2 - 790*f + 36. Let q(d) = -5*d**4 + 785*d**3 - 790*d + 30. Let s(a) = -5*j(a) + 6*q(a). Factor s(b). 5*b*(b - 1)*(b + 1)*(b + 158) Suppose 5*j = -10 + 25. Factor -38*m**j + 18*m - 118*m**2 - 10*m - 14*m**4 + 102*m**2. -2*m*(m + 1)*(m + 2)*(7*m - 2) Let d(j) = j - 1. Let c(y) be the first derivative of 4*y**3/3 + 42*y**2 + 696*y + 1169. Let o = 28 + -8. Let b(t) = o*d(t) + c(t). Factor b(v). 4*(v + 13)**2 Let n(u) be the first derivative of 2/15*u**3 - 28 + 8/5*u + u**2. What is b in n(b) = 0? -4, -1 Factor 436*h**2 + 5*h**3 -
{ "pile_set_name": "DM Mathematics" }
n = 1 - 2, -5*s - 2*n = -l for s. 1 Let t = 4479 + -4476. Solve 2*j - 2*q = j + 2, -t*q + 4 = 2*j for j. 2 Suppose -81*l - 52 + 401 = 25. Solve 4*k = -4*t + 13 - 9, -k - l*t = -7 for k. -1 Suppose -2*u = -6*u + 16. Suppose -u = h - 9. Suppose -h*x + 9 = -11. Solve -x*v - 15 = -v, 5*i + v - 5 = 0 for i. 2 Let g(v) = 139*v + 2642. Let s be g(-19). Solve 0 = b - s, 3*b + 5 = -5*w + 28 for w. 4 Suppose 0*x = -3*x. Suppose -k + 9 = l, -165*k = 4*l - 171*k + 54. Solve -2*d - b - 7 = x, 27 = -2*d - 5*b - l for d. -1 Let g = -13 + 15. Let l be g + 40/16 - (-2)/(-4). Let b = -9 - -13. Solve 3 = -3*i - 0*i, -l*z - 4 = b*i for z. 0 Suppose 19 - 7 = 3*w. Let q = -87 - -103. Suppose -7*u + 43 = 8. Solve -5*g - q = -g + 2*p, u*p = 2*g - w for g. -3 Suppose -54*r = -19*r - 735. Suppose -r*q = -20*q - 2. Solve 3*v + q*f = 6*v - 5, 0 = v - 5*f + 7 for v. 3 Let z(y) = y. Let d(r) = 3*r. Let n(p) = -d(p) + 2*z(p). Suppose m = 5*g - 18 + 59, -g - 4*m = 25. Let b be n(g). Solve 0*u = -x + u + b, -19 = -x + 3*u for x. 4 Suppose r - 3 + 0 = 0. Suppose -i - 2*l = 2*l - 24, 2*i - 2*l + 2 = 0. Let d be 5 + -6 - (0 - i). Solve -2*q = -3*m - r*q, d*q = -9 for m. 1 Suppose 6*u = 4*q + u - 41, 4*u = 5*q - 58. Suppose 3*a + 8 = q. Suppose -a*w + 16*w = 70. Solve 4*g - w*g + 1 = 0, 5*g = 4*c + 1 for c. 1 Suppose -5*o + 6 = 5*s - 4, s = 5*o + 2. Suppose -s*x = -3*u - 22, u = 4*x - 3*x - 9. Solve -t = 2*t + 2*m + 15, -4*t - x*m = 20 for t. -5 Let n = 2529 - 2515. Solve -3*b + 17 = -4*q, -5*b = -4*q - 29 + n for q. -5 Let x = 11 + 7. Suppose -26 - 16 = -7*d. Let b be (d/(x/15))/1. Solve -5*i - 5 = -4*n - n, i - 11 = -b*n for i. 1 Let f(t) = t**3 - 29*t**2 - 23*t + 84. Let p(g) = -g**3 - g. Let a(u) = f(u) + 2*p(u). Let h be a(-28). Solve -k + 15 = 4*v, -2*k - v - v = h for k. -5 Let g be (0/(24 + -18))/(-1). Solve -6*o - a + 3 + 6 = g, 5*a = -15 for o. 2 Let o(y) = -y**3 + 12*y**2 - 12. Let q be o(5). Let z = q + -160. Solve 4*r - 4*g + g = -12, r + 3 = z*g for r. -3 Let u(s) = 3*s**2 + 19*s - 5. Let b = 253 - 260. Let p be u(b). Solve -2*h - 4*y - 15 = 3*h, 3*y - p = 3*h for h. -3 Suppose -5*s - 63 = 4*l - 1707, 3*s + 5*l - 976 = 0. Suppose s = 6*j + 320. Solve -2*y + 2 = -2*a, j*y + y = 2*a - 1 for a. -4 Let a = 10912 + -10862. Solve -77 + a = 5*o - t, 0 = -5*o + 2*t - 29 for o. -5 Suppose -4*i + 3 = -5. Suppose 16 - 1 = i*d + 3*c, -5*d - 4*c + 27 = 0. Solve k - d*l = -l - 6, -2*k - 4*l = -4 for k. -2 Let t be ((-10)/25 - 2/(-5)) + -138. Let f be (4 + t/12)*4/(-10). Solve s - 19 = -4*v, 0*s = 5*s + f*v - 10 for s. -1 Let u = -358 + 361. Solve d - 7 = b, -3 - 10 = -u*d - b for d. 5 Suppose 227*f - 3360 = -13*f. Solve -32*h + 34*h - 9 = 5*a, -4*a - f = -5*h for a. -1 Let o(n) = 2*n**3 - 52*n**2 + n - 19. Let v be o(26). Let p(b) = 5*b - 32. Let x be p(v). Solve x*a = 2*d - 4, -a = -2*a + d - 3 for a. 2 Suppose a + 568 = 565. Let c = a - -3. Solve 2*g + 24 = g + 5*l, c = -2*g + l - 12 for g. -4 Suppose 16 = o + x, 0 = -x + 6 - 9. Solve 4*i = -5*n + 36, 3*i + 3 = -n + o for n. 4 Let y be (-264)/((-12)/1) + -22. Solve 4*l - 25 = u - 16, -3*u + 2*l - 17 = y for u. -5 Let j be (2 + (-7)/7)*0*(-4)/16. Solve j = 4*a, -2*a - 4 = -2*f + 2 for f. 3 Suppose -130*d + 112*d - 5220 = 0. Let x = d + 292. Solve 5*n - 4 = -2*w - 5, -4*n - x = w for w. 2 Let o = 19275 - 19251. Solve 2*k = 141*f - 142*f - 2, -5*f - o = -4*k for k. 1 Let f = -271 - -276. Let z = 3 - -17. Let i = 500 + -500. Solve -4*r - 8 - 22 = -2*b, i = f*b + r - z for b. 5 Suppose 1 = l - 1. Let h = 2982 - 2978. Solve 0 = -5*x - 2*k + 1, h*k + 1 = -l*x + 11 for x. -1 Suppose -125 = -5*f - 75. Solve 5*x = -f, 19 = 5*w + 8*x - 10*x for w. 3 Let k(l) = -38*l - 75. Let c be k(-23). Let v = c + -783. Solve 5*y - q + v = -2*q, -5*y - 2*q - 17 = 0 for y. -3 Let f be (-16 + 15)*2/(-2) - -3. Let v = -126 - -186. Suppose -g + v = 3*g. Solve -2*z = 3*h + g, 4*z + f*h + 20 = -z for z. 0 Suppose 5*j - 5*f - 85 = 0, 4*j - 5*f = 96 - 28. Let u = j + -17. Solve u = 2*d + 5*g - 29, -2*g + 1 + 1 = -4*d for d. 2 Suppose l = -l + 12. Let o be 19 - (-156)/(7 + -19). Suppose -3*k - l = 0, -b + o*k + 22 = k. Solve -2*a - b = -2*y - 2*y, 20 = 5*y for a. 2 Suppose -30 = -a + 5*u, -25 = 11*a - 14*a + 2*u. Solve -2*k - 10 = j, a*k = j + 4*j - 10 for k. -4 Suppose 9*y + 10 - 91 = 0. Suppose y*i = i. Solve s = -4*u + 5*s - 12, -3*u - 3*s + 9 = i for u. 0 Suppose -132 = 5*c + 4*d, -5*d = 2*c + 21 + 25. Let b be ((-72)/c)/((-51)/(-476)). Solve -2*g - 5*o + b = 0, 3*g - 2*o = -1 - 1 for g. 2 Suppose 2*y + 51 = y. Let j = -48 - y. Suppose -j*i - 5*p + 30 + 2 = 0, 4*p + 4 = 5*i. Solve 8 - 22 = -2*c + 3*k, -i*k - 4 = c for c. 4 Let d(w) = 36*w**2 + 1186*w - 64. Let u be d(-33). Solve 4 = 5*h - 4*x + 14, -h - 2*x - u = 0 for h. -2 Let j(c) = c**3 + 5*c**2 + 6*c + 80. Let s be j(-6). Suppose 0 = 3*x + 2*i - 15, 4*i - 27 = -s*x + 3*x. Solve 3*v = -x*n - 9, -2*n - 4 = 4*v - v for v. 2 Let x(t) = t**2 - 119*t - 1418. Let v be x(-11). Solve -3*j + 3 = -3*a, 4*a - v*j + 44 = -16*j for a. -6 Let v = 8408 - 8401. Solve -5*d + 15 = -2*d + 3*l, 2*d = -l + v for d. 2 Let n be -12*(2 - 78/36). Solve 0 = 2*r - 3*b - 7, r + n*b + 5 = 2*r for r. -1 Suppose -3*q + 9366 = 9333. Solve u - q = -l + 3*u, 3*u = -3*l + 6 for l. 5 Let w be (-282)/(-35) + 270/(-4725). Solve -484*z = -487*z + 2*b + w, -2*z - 2*b - 8 = 0 for z. 0 Suppose -5*w + 17 = 4*l, 7*w - 8 = -l + 2*w. Suppose -17*y + 21*y + 5*k - 2 = 0, -5*y = k - 13. Solve q + 1 = -z + 2, 0 = y*z - q - l for z. 1 Let f(u) = -u**3 + 10*u**2 + 4*u. Let m be f(9). Let o be m/12*(-24)/(-18). Let a be 7/((-14)/4) - -7. Solve 2*l - s = -2*l - o, -4*l - a*s = 31 for l. -4 Suppose m = -0*m + 14. Suppose 5*d + 7 - 47 = -2*b, -b = 5*d - 35. Let a be 2*((-48)/(-30) + d/(-10)). Solve 0 = 3*p + 4 + a, -2*p - m = 2*z for z. -5 Let f = 160 + -139. Suppose 0 = -f*m + 23*m - 4. Solve -4*x + s = -3, m*x + 0*s - s = 3 for x. 0 Suppose -3*g - 3 = 2*y, 3*g - 39 = 6*y - y. Solve -4*j + g*j - 7 = -4*h, -2*j - 5*h + 12 = 0 for j. 1 Let d be -1 - (-7)/42*-6. Let q be d/14 - 1408/(-56). Solve -5*y - 2*m + 4 + 1 = 0, 5*y - 2*m = q for y. 3 Let g(v) = 187*v + 4305. Let l be g(-23). Solve -4*m - 14 = -2*p, l*p = m + 20 + 1 for p. 5 Let q(o) = 502*o - 3008. Let t be q(6). Solve 5*b - 14 = -4*l + 18, -t*b + 3*l = -7 for b. 4 Let w be ((-690)/(-8) - 1) + 14/(-56). Solve 2*b = -5*a - 5, -83*b = -w*b - 10 for a. 1 Let d(v) = 3*v**2 + 230*v + 1212. Let r be d(-71). Solve 0 = 5*g + 4*f - 13, -g + r*g - f = 2 for g. 1 Suppose 3*h + 4*u - 55 = 0, -150*u + 147*u + 35 = 2*h. Solve 0 = -2*z - 5*l - h, -11*z - 20 = -16*z + 4*l for z. 0 Let n = 9663 + -9601. Solve -n*k + 15 = -65*k - 2*y, -5 = k - 5*y for k. -5 Suppose 9*r + 45 = 4*r. Let f be 0*((-12)/r - 1). Suppose 2*t + 5 - 31 = f. Solve -4*s = -3*y - t, -3*s - y + 16 = 3 for s. 4 Suppose -4*l = -3*v - 45, -5 = 13*l - 15*l - v. Solve -4*j + 14 - l = 4*b, -2*b + 4*j = -22 for b. 5 Suppose -77*l = 81*l + 39*l - 9850. Solve -3*j + 4*v = 2, 5*j = v + 58 - l for j. 2 Let o = 173 - 168. Suppose -3*x = -f - 11, 2*x = 3*f + 2*f + 3. Solve 5*n = o, 5*y = x*n - 13 + 4 for y. -1 Suppose 63 = 2*b + 53. Suppose -2*d + 5*p + b = 0, 6*d - d - 47 = p. Solve -5*r - d = -2*g, -5*r + 6*g - 2*g = 0 for r. -4 Let u(q) = 80*q + 165. Let j be u(-2). Solve 2*w - 1 = -4*y + 3, 0 = -5*y - j for w. 4 Let i(h) = h**3 - 14*h**2 - h + 20. Let m be i(14). Suppose -z + 4*f = -8, 4*f - 2*f - m = -2*z. Solve 4*y = n, 3*y = n - z*n for y. 0 Suppose -3*z + 5 = -2*z. Let g be (0 + -1)/(13 - 4184/322). Let j be 38/7 + 69/g. Solve 3*r - 30 = -j*v - 0*v, -2*v + 31 = z*r for v. 3 Suppose 4*j - c - 116 = 0, -5*j - 5*c - 114 = -234. Solve -2*k + 13 = 12*z - 13*z, z = 5*k - j for k. 5 Let o = -2931 - -2936. Solve 2*r - 5*m - 11 = 5*r, -4*m - 1 = o*r for r. 3 Let l(m) = -2*m**2 - 13*m - 27. Let a be l(-5). Let q(i) = -i**3 - 12*i**2 - 7*i - 71. Let w be q(a). Solve -5*z = 4*o + w, -5*z + 6*o - 2*o = 37 for z. -5 Let l be (-2 + 1)*-1 + (12 - 11). Let x = 3102 + -3100. Solve -2*b = -b - x*c - l, 0 = -b + 4*c + 8 for b. -4 Let q be ((-216)/40)/(3/(-10)). Let b be 4/q - (-2 - (-264)/(-27)). Solve 5 = 3*a + 2*a + 5*g, -2*g + b = 4*a for a. 5 Let q = 128 - 112. Let x = -270 + 272. Solve -4*y + 4*i = -q, -3*y + i = x*i for y. 1 Let z be -26*21/(-1092)*(-1 - -1). Sol
{ "pile_set_name": "DM Mathematics" }
0.244, 86369? -0.244 What is the second smallest value in -6.3, 4, 0, -771? -6.3 Which is the third biggest value? (a) 4 (b) -2567 (c) -0.106 b Which is the fourth biggest value? (a) 17 (b) -92 (c) 5 (d) -3498 (e) 3 (f) -1 f What is the second smallest value in -3, -2, 24, 1, 9, 0.3, -0.2? -2 What is the second smallest value in -22, -3.08, -3/50? -3.08 What is the sixth biggest value in -378/31, 1, 1/2, -1.5, -5, 0? -378/31 What is the second smallest value in -2, -0.078, 3, -3, 3025, 3/7? -2 What is the smallest value in 3/2, -14, 456758? -14 Which is the second biggest value? (a) -7 (b) -30/37019 (c) 1 b What is the second biggest value in 4, -3, 10649/6, -0.91? 4 Which is the third smallest value? (a) -4 (b) 1/4 (c) 8 (d) 1 (e) 4 (f) -100250 b What is the third biggest value in 11/10, 7, -1585, 1/6? 1/6 Which is the smallest value? (a) -3/2 (b) -1079636 (c) 4 b What is the third biggest value in -0.2, 0.0949, -2/7, 1, -163? -0.2 What is the biggest value in 1817, 13357, -0.2? 13357 Which is the second biggest value? (a) -1/3 (b) -2170 (c) 4173 (d) -2/5 (e) -2 a Which is the second biggest value? (a) 15 (b) -0.3 (c) 2/15 (d) 0 (e) -2/403 (f) -2/5 c What is the third smallest value in -1/66, 0.4, 5, 0.2, 2, -2094, 6? 0.2 Which is the smallest value? (a) -112 (b) 1/3 (c) 12 (d) 9 (e) -42 a Which is the fifth biggest value? (a) -104 (b) -320/13 (c) -3/2 (d) 1 (e) 0.5 a What is the fourth smallest value in -0.5, -5, -44073, -4, -11, 0.1? -4 Which is the sixth biggest value? (a) 12.86 (b) -1 (c) 0 (d) 3/13 (e) -0.2 (f) 30 b Which is the second smallest value? (a) -2 (b) -2/17 (c) -3317 (d) -162 (e) -0.1 d Which is the second smallest value? (a) -4 (b) 5/2 (c) 578 (d) 4/7 (e) 3/10 e Which is the third biggest value? (a) 5 (b) -0.011944 (c) -5 (d) -3 d What is the second biggest value in 5, -1.3, -42, 0.19564? 0.19564 Which is the fourth biggest value? (a) 0.4 (b) 8 (c) -3 (d) -1/8 (e) 3 (f) 62 (g) 133 e What is the second biggest value in 46, -3084, -2, 1554? 46 Which is the smallest value? (a) -70 (b) -1/2 (c) -2 (d) -0.32 (e) -3/5 (f) -0.2 (g) 67 a What is the second biggest value in 34, 9166, -40/7? 34 What is the biggest value in 0.2, -0.509, 775, -0.2, -1? 775 Which is the third smallest value? (a) 4/7 (b) -3674772 (c) 2/9 a Which is the second biggest value? (a) 0.08 (b) 0.46 (c) 1.0764 b Which is the biggest value? (a) 1/9 (b) 0.0187 (c) -425 (d) 5 (e) -2/3 (f) 10 (g) -2/7 f What is the biggest value in 0.5, -0.0161, -470.8? 0.5 Which is the second smallest value? (a) -1 (b) 1/9 (c) 51847.39 b What is the fourth biggest value in 0.414, 17.1, -5/7, -1.1? -1.1 Which is the third smallest value? (a) 4 (b) 3/17 (c) 0.5 (d) 97 (e) 3 (f) 2/7 (g) -2/11 f What is the sixth smallest value in 5/21, -5, -54/13, -12, -1, 37? 37 Which is the smallest value? (a) 2 (b) 1/11 (c) -3 (d) 3 (e) 5 (f) 0.4 (g) 11 c What is the third smallest value in 3/64, -24/7, -151? 3/64 What is the third smallest value in -62, -0.06, 4, -2, -12/5, -1/4? -2 What is the second smallest value in -7.119, 0.06, 5, 20.3? 0.06 What is the smallest value in 3, 0.45, 2, -1501.1? -1501.1 What is the smallest value in -189, 3/77399, -4, -1/3? -189 What is the fourth smallest value in -58, -47, 3, -0.4, -36.15? -0.4 Which is the third biggest value? (a) -2816 (b) -7 (c) 146 a Which is the second biggest value? (a) -0.09 (b) -2 (c) -2/15023 (d) -31/6 (e) 6 c What is the third biggest value in 110, 0.2, -1/5, 215, 0.04, 0.4, -2/3? 0.4 What is the fifth biggest value in -1/2, -19, 0.2, 26, 0.309, 0.39? -1/2 What is the sixth smallest value in -0.11, 5, 3, -2/17, 0.07, 72/29? 5 What is the sixth biggest value in 1/3, 2/13, 1/2, 1/11, 1/49, -0.03, -2/53? -0.03 Which is the fourth biggest value? (a) -3 (b) 2 (c) -0.5 (d) -86 (e) 3/10364 a Which is the fourth biggest value? (a) -1 (b) -2019 (c) 1/4 (d) -534 b What is the second smallest value in -119, 28, 0.073, 0.12? 0.073 Which is the second biggest value? (a) -0.04 (b) 0.11 (c) -2.9 (d) -53 (e) 4 (f) 2/13 (g) -0.1 f Which is the biggest value? (a) -5/4 (b) -2.6 (c) 1329 (d) 6 c Which is the fifth smallest value? (a) -16 (b) -0.5 (c) -4 (d) -31920 (e) 2/17 e What is the second smallest value in 4, -0.2, 16768, -43, -3, 1? -3 Which is the biggest value? (a) 5 (b) 0.4 (c) 671/379 a Which is the second biggest value? (a) -2/9 (b) 4 (c) 0 (d) 2.2 (e) -83 (f) -470 d What is the fifth biggest value in 0.2, 56, -0.1, 4, 3, 0.08, -9? 0.08 Which is the fifth smallest value? (a) -2 (b) 0.3 (c) 319 (d) -0.0831 (e) -2/17 (f) 2 (g) 2/3 g What is the seventh biggest value in 55, 5/3, 0.08, 2/9, 1, -0.1, 0.046? -0.1 What is the third biggest value in 4/5, -0.5, -545, -65, 0.4, 0.5, -3? 0.4 Which is the fourth biggest value? (a) -3/5 (b) -3 (c) 9 (d) 105.77 (e) -2 (f) 1/2 (g) 0.07 g Which is the third smallest value? (a) 0 (b) -0.15 (c) 0.5 (d) -14.81 (e) 0.4 (f) 0.1 a Which is the second smallest value? (a) 3/16 (b) 229 (c) 34.45 c What is the biggest value in -1/2, 2561889, -40? 2561889 Which is the third biggest value? (a) 4 (b) -138/113 (c) -646/5 c Which is the biggest value? (a) 5 (b) 7.2 (c) 0.2 (d) 0.5 (e) 13 e Which is the fourth smallest value? (a) -10 (b) 22/23 (c) -2/9 (d) -1 (e) 0.2 (f) 1/4 (g) 1/7 g What is the fifth biggest value in -0.5, 2, 7, 2/5, 9.7, -10, -16? -0.5 Which is the second biggest value? (a) -57.1717 (b) 5 (c) -6.1 c What is the fourth smallest value in -2983485, 2/7, 0.4, 4? 4 What is the sixth smallest value in 0.3, -0.014, -0.2, 4/19, 0, -6? 0.3 What is the fourth biggest value in 0, 151217, -0.3, -15/2? -15/2 What is the smallest value in -2/5, 192328, 0.091, -0.3? -2/5 Which is the smallest value? (a) 1/1129 (b) 5 (c) -1 (d) 0 (e) 1/6 (f) -255 f Which is the second smallest value? (a) -352405 (b) -14/75 (c) -1/8 b Which is the third smallest value? (a) 5 (b) 2/13 (c) -5/4 (d) -143 (e) -240 c Which is the fifth biggest value? (a) 16 (b) -0.069 (c) -0.21 (d) 3.8 (e) 3 c Which is the biggest value? (a) -5 (b) -4 (c) -1986 (d) 0.4 (e) -0.8 (f) -0.04 d What is the fourth biggest value in -7/15, 2/3, -14.7, -3, -0.4? -3 Which is the third biggest value? (a) -0.03 (b) -25 (c) -2/5 (d) 1 (e) 32 (f) 0.8 (g) 2/3 f Which is the fourth smallest value? (a) 1 (b) 0.26 (c) -3 (d) -42/13 a Which is the seventh smallest value? (a) 63.7 (b) -8 (c) 4 (d) -2 (e) 0 (f) -78 (g) -1 a Which is the third biggest value? (a) -1/59 (b) -6 (c) -7/38 b Which is the second smallest value? (a) 4 (b) -2 (c) -287/58 b Which is the seventh smallest value? (a) -1/26 (b) 1 (c) 64 (d) 0.5 (e) 0 (f) 2 (g) 376/5 g Which is the fourth smallest value? (a) 2/7 (b) -5 (c) -7/9 (d) 3/5 (e) -526/7 (f) -2 c What is the fifth smallest value in -2/5, 2/62605, 0.04, -11/15, 4? 4 What is the sixth smallest value in 4/3, -5, -0.045, -4.14, 3, 2? 3 Which is the fifth smallest value? (a) 4 (b) -0.5 (c) 0.3 (d) 2 (e) -7092/19 a Which is the second biggest value? (a) 1 (b) 0.061735 (c) 4 (d) -4 (e) -5/2 (f) -2 a Which is the second biggest value? (a) 1/20 (b) -8 (c) -1.253 (d) 1 (e) -0.5 (f) -6 (g) -3 a What is the biggest value in -43699, -0.4, 1, -1760/7? 1 What is the third smallest value in 0.3, 155, -14/183, -12? 0.3 Which is the second biggest value? (a) -0.4 (b) -0.5 (c) -37 (d) 6 (e) -2 (f) 2 (g) -16 f Which is the second biggest value? (a) -11 (b) -186.1 (c) -0.4 (d) -5 d What is the fourth biggest value in -3/7, -0.059, 8, -39038? -39038 Which is the fifth biggest value? (a) -1.465 (b) 0.2 (c) -0.3 (d) -2.4 (e) -0.06 (f) -1 (g) 5 f What is the fourth biggest value in 1/3, -5, -1130, -0.355? -1130 What is the smallest value in -3, -1/25, -7.25, -10? -10 What is the third biggest value in -4, 2/19, 0.1, -64, 1, -0.3, 1/2? 2/19 What is the smallest value in 5, -2/17, 2028619? -2/17 What is the second biggest value in -0.0484, 5572/9, -3? -0.0484 What is the third smallest value in 2, -16/7, -694, 1/3? 1/3 Which is the fourth smallest value? (a) 0.1 (b) -1/6 (c) 1.2 (d) 1 (e) 1
{ "pile_set_name": "DM Mathematics" }
e i(a). What is u rounded to the nearest ten thousand? 20000 Suppose 4*y - 7 - 1 = 0. Let g(i) = 924999*i**2 + 2*i. Let v be g(y). Round v to the nearest one million. 4000000 Let i = -18.076 + -96.129. Let w = 0.205 + i. Let r = 102.7 + w. What is r rounded to the nearest integer? -11 Suppose 5*c = 2*p - 3644998, 3*p - 1339309 = 3*c + 847688. Round c to the nearest one hundred thousand. -700000 Let i(v) = -132*v - 4. Let x be i(-4). Suppose -x = 2*z + 2*z. Round z to the nearest ten. -130 Let w = -120 - -118.325. What is w rounded to one decimal place? -1.7 Let q = 22.049 + -0.049. Let r = 21.71 - q. What is r rounded to 1 decimal place? -0.3 Let k = -37 - -136. Suppose 0 = 4*o + 2*v - 21 - k, -2*o + 2*v + 48 = 0. Let h be (o/(-21))/((-2)/(-12000)). Round h to the nearest ten thousand. -10000 Let v = 32 + -55. Let c = -22.945 - v. Round c to two decimal places. 0.06 Let i = -0.3 + 1.4. Let s = i + -0.1. Let f = s - 1.000056. What is f rounded to five decimal places? -0.00006 Let y(w) = 97*w**3 - 5*w**2 - 9*w - 15. Let k be y(-12). Suppose 2*c - 192486 = -0*c. Let d = k + c. What is d rounded to the nearest 10000? -70000 Suppose -2*d - 164054 - 57946 = 0. Round d to the nearest ten thousand. -110000 Let j = -55957 - -86957. Round j to the nearest ten thousand. 30000 Let c = 0.274 + -0.054. What is c rounded to one decimal place? 0.2 Let t = 128 + -136.3. Let q = t + 60.3. Let i = q + -52.53. Round i to 1 decimal place. -0.5 Let s = -10650.614 - -10650.0139941. Let k = 0.6 + s. What is k rounded to 6 decimal places? -0.000006 Suppose -2640 = 3*a + 2*a. Let s = a - -128. What is s rounded to the nearest one thousand? 0 Let u be (-115 + 2 + 0)*-5. Suppose -4*n + 11022 = -5*b, 3331 - u = n + 4*b. Suppose 3*h - n = -128758. Round h to the nearest 10000. -40000 Let r = -2042830 + 17442830. Round r to the nearest one million. 15000000 Let f(k) = k - 12. Let d be f(12). Suppose d = -3*a - a - 11600000. What is a rounded to the nearest one million? -3000000 Let f = 0.38 + -0.81. Let p = -0.4 - f. Let x = p + 0.27. Round x to one dp. 0.3 Suppose -2*v = -2*x + 17398, 3*x + x + v = 34801. What is x rounded to the nearest one thousand? 9000 Suppose 4*d + d + 42930 = 0. Let q = 14586 + d. Round q to the nearest 10000. 10000 Let d = 0.863352 - 1.0433575. Let x = d - -0.18. What is x rounded to six dps? -0.000006 Let v(c) = 1606976*c + 1293025*c - 10 + 11. Let p be v(-1). What is p rounded to the nearest 1000000? -3000000 Let a(w) = w**2 + 3*w. Let x be a(-3). Suppose -2*r - 10 = x, -3*i + 0*r - 249005 = r. Round i to the nearest ten thousand. -80000 Let z = -77997999.9999994 - -77997992. Let i = 0.21 + 7.79. Let p = z + i. Round p to 7 dps. 0.0000006 Let v = -63 + 37. Let t = -40 - v. Let u = t - -13.9974. Round u to three dps. -0.003 Let a = 0.2 + -0.1. Let v = -0.12 + a. Let c = v - -0.37. Round c to 1 dp. 0.4 Let p = 10 - 9.99999933. What is p rounded to 7 decimal places? 0.0000007 Let u be 2/(-7) - 78/21. Let z be 155 - 5/((-10)/u). What is z rounded to the nearest 10? 150 Let p = 0.29 + 18.71. Let k = -71 - -89.964. Let b = k - p. Round b to 2 decimal places. -0.04 Let n = 4242 + -36183. Let o = n - -31920.841. Let m = 20 + o. Round m to 2 decimal places. -0.16 Suppose 0 = -s - 26879 + 4979. What is s rounded to the nearest one thousand? -22000 Let f = 3669798990.69 - 3646670918. Let p = -23128010.68999839 + f. Let o = -62 + p. Round o to 7 dps. 0.0000016 Suppose 5*k + 29 = v + 4, -25 = 4*v + 5*k. Suppose 6*n - n = v. Suppose -3*j - 3 = n, -a + 27 + 23 = 2*j. What is a rounded to the nearest 10? 50 Let u(k) = -30*k**2 + 27*k + 17. Let l be u(19). What is l rounded to the nearest 1000? -10000 Let k = -10 + 9.3. Let w = -0.6952 - k. What is w rounded to 3 decimal places? 0.005 Let h = -0.153 - -0.15407. Round h to 4 decimal places. 0.0011 Let g(y) = -2*y + 4. Let w be g(0). Let q be w/18 - 14858974/(-117). What is q rounded to the nearest ten thousand? 130000 Suppose w - 708658 = 2*w. Let s = w - -1008658. Round s to the nearest one hundred thousand. 300000 Let c = -2.1 + -0.7. Let u = 2.8000183 + c. Round u to six decimal places. 0.000018 Suppose 3*c - 85 = 212. Suppose c = 2*x - 5*x. Let f = -84 - x. Round f to the nearest 10. -50 Let j(k) be the second derivative of -k**5/20 - 2*k**4/3 - 5*k**3/3 - 11*k**2/2 + 5*k. Let v be j(-8). What is v rounded to the nearest 10? 70 Suppose 4009889 = -4*b - 3*y - 6830108, 5*y = 3*b + 8130005. Round b to the nearest 100000. -2700000 Let w(l) = 27004*l. Let t(x) = 1863275*x. Let f(u) = 4*t(u) - 275*w(u). Let j be f(-5). What is j rounded to the nearest ten thousand? -140000 Let g(k) = 8*k**3 - 11*k**2 - 5. Let q be g(7). What is q rounded to the nearest one thousand? 2000 Let f = 57 + -8. Let j = f - 101. Let u = j - -51.999979. What is u rounded to five decimal places? -0.00002 Let q be (-37119)/(-27) + 2/9. Let p = -375 + q. What is p rounded to the nearest ten thousand? 0 Let d = 0.046 - 0.03. Let o = 0.055 + d. Let i = o - 0.070961. Round i to five decimal places. 0.00004 Let j(p) = p**3 + 16*p**2 + 18*p - 6. Let c be j(-14). What is c rounded to the nearest ten? 130 Let q = 368089.475 + 3528.425. Let d = q - 371614.900002. Let a = -3 + d. What is a rounded to five decimal places? 0 Let u = 44.96 + -0.96. Let h = 37.32504 + 6.68006. Let t = h - u. What is t rounded to 3 dps? 0.005 Let z = -3 + 5. Suppose 104 = -z*a - 2*i, 9*i = a + 4*i + 70. What is a rounded to the nearest ten? -60 Let s = 0.03 + -1.63. Round s to zero dps. -2 Let o = 0.069996 + -0.07. What is o rounded to five dps? 0 Let j = -15.1 - -11.42. Round j to 1 decimal place. -3.7 Let t = -1519.593 + 1598.45. Let u = -157 + 78. Let i = u + t. Round i to 2 dps. -0.14 Suppose -205 = -3*a - u + 15, a - 3*u = 70. Let c = 10 - -14. Let r = c - a. Round r to the nearest 10. -50 Let h = -5.4 - -34.4. Let x = h - -12. Let p = x + -41.0000077. Round p to 6 decimal places. -0.000008 Let t = 1125938.042169 - -1.957831. Let f = -1125943.000015 + t. Let m = f - -3. What is m rounded to six decimal places? -0.000015 Let l = -0.04 - 1.06. Round l to zero decimal places. -1 Let a = -62 - -62.000047. What is a rounded to 5 dps? 0.00005 Let i = -35008.4200028 + 35000.42. Let a = -14 + 6. Let z = i - a. What is z rounded to 6 decimal places? -0.000003 Let d = -5521337.9000052 - -5521335. Let a = d + 2.9. What is a rounded to 6 decimal places? -0.000005 Let b = 323 - 322.9999583. What is b rounded to six dps? 0.000042 Let d = 0.08 - 0.15. Let p = 0.1 + d. Round p to two dps. 0.03 Suppose 0 = -y + 6*y - 35000. Round y to the nearest 1000. 7000 Let f = 16.5 - 16.499998322. What is f rounded to seven dps? 0.0000017 Let a = 12309285 - 12309291.521849. Let c = a - -1.121559. Let j = -5.4 - c. Round j to four decimal places. 0.0003 Suppose 0 = 2*j + 3*j - 25. Suppose -2*o + j*o - 6 = 0. Round o to 0 decimal places. 2 Let o = 1429 - 433. Let r = o + 124. What is r rounded to the nearest one hundred? 1100 Let y = 7 - 1. Let g(v) = -1799*v + 10. Let n be g(-10). Suppose 3*a - y*a - n = 0. What is a rounded to the nearest one thousand? -6000 Let w = -33414382 - -21914382. What is w rounded to the nearest 1000000? -12000000 Let k = -16 + 23. Let z = 7.61 - k. Round z to one decimal place. 0.6 Let s = -3.518 - -2.38. What is s rounded to 1 decimal place? -1.1 Let d = -10 + 15. Suppose -d*w - 4200016 = -4*l, -240723 = w - l + 599281. Round w to the nearest one hundred thousand. -800000 Let f = -69.9974 - -70. What is f rounded to 3 dps? 0.003 Let s = 700.7 - 735. Round s to the nearest integer. -34 Let c(f) = -26000*f. Let j be c(3). What is j rounded to the nearest ten thousand? -80000 Let z = 0.16 + 0.08. Let o = z + -18.24. Let t = -18.00000018 - o. What is t rounded to 7 dps? -0.0000002 Suppose -5*x + 2*t = 30999994, 0 = 2*x - 2*t + 4*t + 12400006. Round x to the nearest 1000000. -6000000 Suppose -2*i - 33 = -5*l, 2*l + 24 = 6*l - i. Let w(t) = 24*t + 38*t + 18*t. Let f be w(l). What is f rounded to the nearest one hundred? 400 Let v = 117.121 + -117. Let l = -0.589 - v. Round l to one decimal place. -0.7 Let o(p) be the first derivative of 445*p**3/3 - p**2/2 - 2*p + 4. Suppose r + 3 = 2*r. Let k be o(r). What is k rounded to the nearest one thousand? 4000 Suppose -9*i + 4944
{ "pile_set_name": "DM Mathematics" }
Let i(l) = l**3 + 6*l**2 + 5*l + 7. Let k be i(-5). Let u = k - -3. Calculate the remainder when 29 is divided by u. 9 Let z(i) = -i - 2. Calculate the remainder when z(-12) is divided by 7. 3 Let i be (-1)/(3/(-51*1)). Suppose -g - x + 53 = 0, -4*x = -g - i + 50. Suppose c + 5 = -5*m + 92, c = 3*m - g. Calculate the remainder when m is divided by 5. 2 Suppose -20 = -3*v - 2*v. Suppose -1 - 163 = -v*a. Calculate the remainder when a is divided by 11. 8 Let r(p) = 22*p**3 + p**2 - p + 1. Suppose -y = -3*b + 200, 4*b = -3*y + 2*y + 276. Calculate the remainder when b is divided by r(1). 22 What is the remainder when ((-87)/5)/((-1)/5) is divided by 18? 15 Suppose -36*n - 45 = -39*n. What is the remainder when 104 is divided by n? 14 Suppose 5*y = 2 + 13. Suppose y*q - 30 - 9 = 0. Calculate the remainder when 24 is divided by q. 11 Suppose n + n - 34 = 0. What is the remainder when (-707)/(-21) + 2/(-3) is divided by n? 16 Let o = 8 - -11. Let c = o + -1. Calculate the remainder when 88 is divided by c. 16 Suppose 0 = -3*f + l + 148, 0 = 5*f + 8*l - 11*l - 248. What is the remainder when f is divided by 9? 4 Let i = -51 + 68. What is the remainder when i is divided by 9? 8 Let z = 38 - 27. What is the remainder when 53 is divided by z? 9 Let t = 9 + -6. Let r = 1 - -1. Suppose 20 = 2*v + r*v. Calculate the remainder when v is divided by t. 2 Suppose 0*k - k = 3*u - 10, 2*u - 8 = 0. Let z be k/(-1) - 0/2. Suppose -4*q - 5*a = -a - 44, 3*a = z*q - 27. Calculate the remainder when 22 is divided by q. 10 Suppose -26 = -5*h + 4. Suppose 5*b = -3*g + 2 + h, -10 = -2*g - b. What is the remainder when 11 is divided by g? 5 Suppose 0 = z - 2*z - 4. What is the remainder when 9 is divided by 6/z*(-8)/3? 1 What is the remainder when 89 is divided by (-1 + 3 - 25)/(3 + -4)? 20 Let v = -1 + 0. Let i be 40/(-3)*3/v. Suppose -2*l = 2*l - i. Calculate the remainder when 29 is divided by l. 9 Let o(t) = 29*t**3 - 2*t**2 + 1. Let c(x) = x + 7. Let a be c(-6). Calculate the remainder when o(a) is divided by 10. 8 Let w(q) = 8*q - 2. Let s(o) = 7*o - 1. Let g(p) = 5*s(p) - 4*w(p). Calculate the remainder when g(6) is divided by (-68)/(-6) - (-8)/12. 9 Let f(j) = 2*j - 6. Suppose 4*t + 2 - 10 = 0. Calculate the remainder when f(6) is divided by t. 0 Suppose -4*v = -2*o + 48, -3*v - 36 = -2*o - 3*o. Let y = 17 + v. Suppose -2*g - y = -t, t + 5*g - 40 = -4*t. Calculate the remainder when 12 is divided by t. 5 Suppose 3*m + 84 = 5*o, 5*m - 45 = -5*o + 55. What is the remainder when 89 is divided by o? 17 Suppose 26 = 3*b - 1. Suppose -5*o + 16 + 4 = 0. Suppose -y - y = -o*l - 54, y - 22 = -3*l. What is the remainder when y is divided by b? 7 Let a(h) = h**3 + 4*h**2 + h - 1. Suppose 16 = 2*x + 8. What is the remainder when a(-3) is divided by x? 1 Suppose -5 = 4*s + 4*v - 117, -2*s - 4*v = -56. What is the remainder when 81 is divided by s? 25 Let p = 46 + 159. Suppose -4*m = m - p. What is the remainder when m is divided by 11? 8 Let z = 16 - 19. Let l = 1 - z. Calculate the remainder when 6 is divided by l. 2 Suppose 0 = -8*m + 9*m - 46. What is the remainder when m is divided by 25? 21 Let k = 301 - 254. What is the remainder when k is divided by 24*(0 + 0 + 1)? 23 Let m(v) = 3*v**3 - v**2 - v + 11. Let z(c) = -4*c**3 + c**2 + c - 12. Let t(u) = 3*m(u) + 2*z(u). What is the remainder when t(0) is divided by 6? 3 Let r be 23/(-1 - 12/(-10)). Suppose -4*f + r = -5. Suppose -3*i + j + 17 = -0*j, -5*i + 2*j + f = 0. What is the remainder when i is divided by 2? 0 Let k(w) be the third derivative of -5*w**4/12 + w**3/2 + 2*w**2. Calculate the remainder when k(-4) is divided by 11. 10 Suppose -y + 2 + 22 = c, -3*y - c + 62 = 0. What is the remainder when 92 is divided by y? 16 Let s(g) = -g + 3. Let f be s(10). Calculate the remainder when 27 is divided by f/(0 - (-3)/(-6)). 13 What is the remainder when 139 is divided by ((-12)/(-8))/(-1)*(-140)/6? 34 Let q be (18/(-4))/((-3)/(-6)). Let l = 19 - q. What is the remainder when l is divided by 15? 13 Let g(a) = a**3 + 15*a**2 + 3. Let s(x) = x**2 - x + 2. Calculate the remainder when s(3) is divided by g(-15). 2 Let n = -35 - -49. Let p = -7 + n. Suppose -s + 1 + 3 = 0. What is the remainder when p is divided by s? 3 Let i(u) = u + 9. Let c be i(-6). Suppose -c*w = -43 + 10. Let y = -56 + 88. What is the remainder when y is divided by w? 10 Suppose 4*z - 6*v + v + 3 = 0, 0 = -z + v. Suppose 0*l - 2*x - 14 = -3*l, l - z = x. Calculate the remainder when 29 is divided by l. 5 Suppose -13*x + 24 = -5*x. Suppose 4*o = b - 0*b - 3, -2*b + 9 = -5*o. What is the remainder when b is divided by x? 1 Suppose 0 = z - 3*k - 45 + 4, 0 = 3*k. Let i(a) = 11*a - 1. Calculate the remainder when z is divided by i(2). 20 Suppose -u = -4*u - 4*o + 93, -u - 2*o + 31 = 0. What is the remainder when u is divided by 11? 9 Suppose 0 = 6*s - 2*s. Suppose s = 4*t + 6 + 6. What is the remainder when 31 is divided by 11/(-2)*(t + 1)? 9 Let a(y) = -27*y**3 + y**2 - 1. Suppose 0 = 5*p - 5*j, -p - 3*j = 3*p + 7. Calculate the remainder when a(p) is divided by 14. 13 Suppose -4*l = -12 - 8. Calculate the remainder when (-1 + -37)*((-132)/(-24))/(-11) is divided by l. 4 Let f = 44 + -18. Calculate the remainder when 102 is divided by f. 24 Let r = 25 + -15. Suppose 3*k - 5*i - 3 = -i, 0 = -k - 2*i + 1. What is the remainder when r + (2/(-2) - k) is divided by 5? 3 Suppose -2*d + k + 15 = 0, -7*k - 25 = -2*d - 4*k. Suppose 4*u = s + 35, 0*s + 4*s = -d*u + 28. What is the remainder when u is divided by 5? 3 Suppose b + 4*b = 20. What is the remainder when 13 is divided by b? 1 Let w = 12 + 13. Let q(j) = -j**3 - 5*j**2 + 5*j + 1. What is the remainder when w is divided by q(-6)? 4 Let q(z) = 3*z - 21. What is the remainder when q(17) is divided by 12? 6 Let w be (-10)/3 + 2/(-3). Let p(t) = -6*t - 1. Let n be p(w). Let q = n + -6. What is the remainder when q is divided by 6? 5 Suppose 7*a = 3*a + 8. Suppose 2*m - a*t = 6*m - 124, 0 = 5*m + 2*t - 157. What is the remainder when m is divided by 9? 6 Let t be (-12 - -13) + -4 + 1. What is the remainder when 17 is divided by (1 - -1)/(t/(-4))? 1 Suppose -5*k = 3*j + 4 - 257, 174 = 2*j + 2*k. Let o(h) = 2*h**2 - 7*h - 7. What is the remainder when j is divided by o(6)? 22 Let h(b) = -9*b + 4*b + 4*b**2 - 3*b**2 - 7 + b. What is the remainder when 41 is divided by h(7)? 13 What is the remainder when 16 is divided by 6*(0 - 4)/(-4)? 4 Suppose 4*i - 17 = 147. Let s = 45 + -31. What is the remainder when i is divided by s? 13 Let x(r) = -32*r**3 - 2*r - 1. What is the remainder when 64 is divided by x(-1)? 31 Let o = 34 + -31. What is the remainder when o is divided by 2? 1 Let h(c) = -c**3 - 7*c**2 + 8*c - 6. Let u be h(-8). What is the remainder when (9/u)/(6/(-88)) is divided by 6? 4 Let z(l) = l**2 + 2*l + 2. Let c be z(-3). Suppose -5*v = -c, -3*h = -v + 5*v - 175. Calculate the remainder when h is divided by 15. 12 Let d = -32 - -64. Suppose 2*o + 5 = 3*v, 3*o - v - 3 = -0*v. Suppose 3*y + m - 32 = 0, 4*m = 2*m - o. What is the remainder when d is divided by y? 10 Suppose -4*r + 4 + 4 = 0, -3*v + 190 = -4*r. What is the remainder when v is divided by 102/(-3)*(-1)/2? 15 Let i = 22 - 31. Let g(m) = -2*m - 4. Let u(n) = 2*n**2 - 3*n - 1. What is the remainder when u(-3) is divided by g(i)? 12 What is the remainder when 28 is divided by (40/(-15))/(-1)*6? 12 Let q(u) = -2*u**3 - 4*u**2 + 2*u + 3. Let a = 8 + -12. What is the remainder when q(a) is divided by 15? 14 What is the remainder when 341 is divided by ((-1274)/39)/(4/(-6))? 47 Suppose -4*l = 2*u - 132, 2*l = 3*u + 39 + 43. What is the remainder when l is divided by 19? 16 Let g(q) = -21*q**3 + q**2 + q + 1. What is the remainder when g(-1) is divided by 7? 1 Let a(d) be the third derivative of d**3 - 2*d**2 + 0 + 0*d - 1/60*d**5 - 1/4*d**4. Calculate the remainder when a(-5) is divided by 6. 5 Suppose y - 3 = -2*y. Let r = 3 + -5. What is the remainder when (-4 - -3)*-3 + r is divided by y? 0 Let b(g) = -14*g - 3. Calculate the remainder when 43 is divided by b(-1). 10 Suppose -2*b = -7*b. Suppose b = -2*s + 16 - 6, -3*s + 28 = p. Suppose -p - 3 = -v. What is the remainder when 46 is divided by v? 14 Let c = -12 + 21. Let v = -1 + c. Calculate the rem
{ "pile_set_name": "DM Mathematics" }
et s be h(7). Is s equal to i? False Let d be (-36)/60 + 1086/(-15). Which is greater: d or 2? 2 Let j(n) = n**3 + 3*n**2 - 4*n - 2. Let z be j(-4). Let k = 0.48 + -0.09. Let d = k - -0.21. Which is smaller: z or d? z Let v be (-4)/(0 + 2/(-4)). Suppose -v*s + 3*s = -20. Let q be s/2 + 1 + 1. Which is smaller: q or 7/2? 7/2 Let n = 2.99 - 2.8. Let a = 0.16 - n. Is a smaller than -0.1? False Let f = -321 + 326.84. Let x = -0.16 - f. Let l = x - -7. Is 1 smaller than l? False Suppose -14 = -18*v + 11*v. Let b(w) = -w + 2. Let l be b(0). Is l <= v? True Let d = -6.78 + 7. Let k = d + -0.12. Let s = 0.6 - 0.63. Which is bigger: k or s? k Let m be (2 + (-40)/25)/((-321)/45). Which is smaller: 0 or m? m Let i = -370 + 382. Are i and 75/7 nonequal? True Let a be (30/7)/((-624)/(-42) + -15). Is a at most as big as -29? True Let l = 4951 + -212869/43. Let x = l + -92/473. Let w(k) = k**3 + 3*k**2 + k - 1. Let p be w(-2). Which is smaller: p or x? x Let b be -4*(-3 + 10)/25298. Is b at most as big as 0? True Suppose 0 = -2*b + 1 - 3. Let p be 12/40*-4*(-165)/(-154). Is b smaller than p? False Let y be (-16)/(-6)*27/(-18) + -679. Is y >= -682? False Suppose -3376 = -2*d + n, 27 = -5*n + 47. Is d > 1689? True Let n = -18 + 19. Is n >= 2/323? True Let l = -49 - -45. Let v be 2 - ((-2)/l*4 - 1). Let t = 61/495 + 1/99. Which is bigger: t or v? v Let k(d) = d**2 + 10*d + d**2 - d**2 + 14 - 3. Let b be k(-8). Suppose 2*c + 3 = -3. Is b at most as big as c? True Let q = -7 + 11. Suppose 0 = -0*y + 2*y - q. Suppose 12 = -d + 4*v - v, 21 = -y*d + 3*v. Which is smaller: -2 or d? d Let o = 1627 - 2289. Are o and -662 nonequal? False Let x = -27.7 - 86.3. Let z = x - -115. Which is smaller: z or -7? -7 Let o be 5/2*(5 - -1). Let f = o - 16. Which is smaller: f or 4/15? f Suppose 2*l + 25 = -3*l. Let g = l + 8. Let a = 35/26 + 2/13. Which is bigger: a or g? g Suppose 0 = 5*f - l + 15, 3*f - 10 = -2*f - 4*l. Suppose 0 = -8*j + 3*j + 120. Suppose 3*z = 7*z + j. Which is smaller: f or z? z Suppose -3*m + 34 = 5*b, 0 = 5*b - 0*b + 5. Do m and 13 have different values? False Let p be 2/5 - 32/55. Let h(y) = -y**2 - 2*y + 2. Let b be h(-3). Let n be (-8 + 9)/(0 + b). Is n greater than p? False Let q(b) = -b**2 + 5*b - 2. Let i be q(3). Suppose 0 = -i*x + 3*p + 1, 0*x - p - 15 = -5*x. Suppose -x*n + 7 = 3. Do n and 1/41 have different values? True Suppose 2*h = -h. Let c = 4147016/373 + -11118. Is c less than h? False Let a = -550.9111 + -0.0889. Which is smaller: a or 1? a Suppose 45*j - 46*j + 319 = 3*p, 2*p = 2*j + 202. Is 104 smaller than p? True Let h(w) = 0*w**2 + 2*w - 3*w**2 + 0*w + 0*w - 3. Let g be h(1). Let u be (-3)/2*2/1. Which is smaller: g or u? g Suppose 4*p - 40 = -4*y, 0 = 5*p + y - 34 - 16. Suppose 0 = -p*n - 13 + 3. Which is greater: n or 2/483? 2/483 Suppose 390 = 9*b - 4*b. Suppose -b = -4*k + 2. Which is bigger: 19 or k? k Let p(j) = -j**3 + 11*j**2 - 11*j + 17. Let v be p(10). Let x be ((-10)/3)/((-8)/12). Suppose -s = 4*k + 2, s - x - 3 = k. Which is greater: s or v? v Let z = 4/155 - -266/1705. Let k = 6 + -9. Let x = -4 - k. Which is smaller: x or z? x Let b be ((-6)/18)/(3/(-558)). Which is greater: b or 61? b Let r(i) = -2*i + 2. Let a be r(1). Suppose -3 = -3*t - 2*x - 6, x - 3 = 0. Let y be (2/t)/(2/(-3)). Which is smaller: y or a? a Let p be -382 - 33/22*4/(-6). Is -381 >= p? True Suppose -b = 2*b + 15. Let a(m) = -m - 4. Let i be a(b). Let n = -0.1 + -8.9. Which is bigger: i or n? i Let w(l) = -l**3 + 17*l**2 + 4*l + 17. Let h be w(17). Let z = h - 87. Is 37 < z? False Let f = -7.2 - 0.8. Let p = 2 - f. Let c = 1 - p. Which is smaller: c or -2? c Suppose 0 = 10*v - 13*v + 15. Let q be 8/(-8) + (-21)/(-3). Is q at most as big as v? False Let s be (3*(-3)/(-63))/2. Let i be ((-15)/42)/(-1 + -1). Let u = s + i. Does -6 = u? False Let k = -234.278 - -234.9. Is k at most 0? False Let m = 0.1 - 0.2. Let g = -4320 - -4321. Which is smaller: m or g? m Suppose 28*j - 35 + 7 = 0. Suppose 4*g + 15 + 13 = -3*p, 5*g + 20 = 0. Do j and p have the same value? False Let l = -70.59 - -71. Let f = -899 + 898.42. Let a = l + f. Which is bigger: a or 0.1? 0.1 Suppose 0 = -2*s + t - 52, -5*s - 3*t - 50 = 80. Let l be (51/15 + -4)*-20. Let f = l + s. Does f = -14? True Let m = -10 + 15. Suppose -3*q - 3*y + 3 = 0, -y = -5*q + 24 + m. Let a be (-12)/(-5)*-1*q. Which is greater: -13 or a? a Let c = -2705 + 2760. Is c smaller than -1/4? False Let z = 0.05 - 0.029. Let i = -3.979 - z. Which is smaller: -0.2 or i? i Let a = 1475 - 769949/522. Is a equal to 1? False Let c = 1757 - 8782/5. Is c > -8/203? True Suppose 0*v - v = -6. Let p be v/(-12)*(-12)/10. Let h = 4/43 - 63/215. Is h smaller than p? True Suppose 39 = -2*h + 4*r - 81, -4*h - 201 = 5*r. Let x = h - -42. Which is smaller: x or -13? -13 Let s(y) = y**2 - 3*y - 62. Let m be s(-6). Let h(g) = g**2 - 3*g - 5. Let l be h(5). Suppose l*q + 4*f = -0*q - 40, -8 = q - 2*f. Are m and q equal? True Let k be 17/((-595)/(-392)) + 1/(-5). Let o be 1 + 19 + -3 - 4. Which is greater: o or k? o Suppose 0 = -14*t + 10*t + 52. Are 25 and t equal? False Suppose -319 = -5*m + q - 4*q, 0 = -4*q - 8. Suppose 14*g = 15*g + m. Are -65 and g nonequal? False Let d = -989 - -990. Is -0.8 < d? True Suppose -3 + 28 = 5*f. Let y be f/3 + 0/(-14). Let g be (-3)/((-9)/12) + -2. Which is greater: g or y? g Let w be (-663)/(-51) + 1357/(-103). Which is smaller: w or 0? w Suppose -4 = -5*x + 16. Suppose -2*g = 2*v - 5*v + 20, -x*g - 8 = 2*v. Let m be (-3)/(-7)*v/(-3). Which is greater: m or -1? m Suppose 38*g = 36*g + 1568. Suppose 37*w - g = 44*w. Do -112 and w have the same value? True Let g(u) = -3*u + 6. Suppose 0 = -2*r + 3*y + 14, -r - 3*y = -0*r - 7. Suppose -5*w + 13 = c, -r*c - 6 = -4*c. Let v be g(w). Which is bigger: -1 or v? -1 Let r = 2/3 + -1/3. Let c be 2*(-2)/(2/1). Let m be ((-1)/c)/(7/(-84)). Is m greater than r? False Let y be 29/1 + (3 - -1)/(-4). Suppose -y*o = -31*o - 18. Is -32/5 at most as big as o? True Let h = -1759 - -952. Is h != -808? True Suppose 2*j - 170 = -3*j + 5*t, -3*j + 2*t = -98. Let k be (j/9)/((-1)/(-18)). Let g be (-10)/(-25) - (-21)/k. Which is smaller: 1 or g? g Suppose 22*g + 156 = -20. Are -4 and g non-equal? True Let y be ((-2)/(-2))/((-46)/(-4)). Suppose 3*l + 27 = 165. Let a = 46 - l. Which is smaller: a or y? a Suppose 2*s = -2*x + 726, -4*x = -8*x. Is s > 363? False Suppose 0 = 84*z - 82*z - 2. Which is greater: z or -2/2117? z Let o = -6523/32665 - 2/6533. Is 46 <= o? False Let v = -0.369 + -2.131. Is v smaller than 8? True Suppose 0 = 2*h - 19*h - 17. Let y be 5/30*(1 + 1). Which is smaller: y or h? h Let r(y) = -y**2 + 2*y - 1. Let o be r(2). Let f(i) = i**3 - 7*i**2 + 3*i - 9. Let s be f(7). Let p be (-1)/(4 + (-52)/s). Which is smaller: p or o? o Let b = -15 + 16. Let i = 5 - 3. Let n be (-2)/12 + i + -2. Is n bigger than b? False Suppose -3 - 1 = -m. Let h be 2/m + 216/16. Suppose 2*p - 65 + 15 = -4*d, -d - 2*p + 5 = 0. Do h and d have different values? True Suppose -4*w + 33 = 9. Suppose -w*s = -5*s - 2. Suppose 0 = 5*t + s + 28. Is -4 greater than t? True Suppose -4*u = w + 3*w - 76, -28 = -2*w - 4*u. Suppose -w*i + 27*i = 33. Are i and 0 equal? False Let g(z) = z + 3. Let j be g(-4). Let x = -15 - -31. Which is bigger: j or x? x Let m = -20 - -20.026. Let r = m + -0.326. Which is smaller: r or 1/4? r Let r be 2 + -5*(-132)/2127. Let z = r - -341774/237515. Let n = -10/67 + z. Which is greater: 5 or n? 5 Let r = 12.4 + -6.8. Let a = 6 - r. Let y = 0.8 - 0.6. Which is smaller: y or a? y Let x(p) = p**3 + 13*p**2 + p + 17. Suppose -2*m = -k + 3*k + 22, -k - 2*m - 9 = 0. Let j be x(k). Is j less than or equal to 0.3? False Let f be 8/(-6) - (-4)/(-6). Let l(i) = -2*i**3 - 8*i**2 + 12*i + 7. Let u be l(-5). Let w = u - f. Do w and 2/9 have the same value? False Let w(y) = -4*y**2 + 16*y + 11. Let p be w(8). Which is smaller: -118 or p? -118 Let g(m) = -m**3 + 9*m**2 - 9*m + 12. Let b be g(8). Suppose -b*z + z = 0. Let t be (-6)/10 + z + 0. Which is smaller: t or 0? t Let r be 4/24 - (-370)/300. Which is greater: 1 or r? r Suppose a - 4*q = -11, 5*a + 10 = 5*q - 0*q. Let l = 23 - 27. Let i(n) = n**3 + 5*n**2 + 2*n - 7. Let o be i(l). Is o at most a? True Suppose -13*u + 85*u = 47016.
{ "pile_set_name": "DM Mathematics" }
What is the first derivative of 3*h**2*x - 5*h**2 + h*x**2 + 240*h - 7752*x**2 - 6 wrt x? 3*h**2 + 2*h*x - 15504*x What is the second derivative of 229*p**2*q**2 - 13*p**2*q - 96*p*q**5 - 50*p*q - 5*q + 1 wrt q? 458*p**2 - 1920*p*q**3 What is the derivative of -3*p*q - 75575*p - 21987*q**2 wrt q? -3*p - 43974*q Find the second derivative of 1546820*t**3 + 540568*t wrt t. 9280920*t What is the second derivative of -199975*o**3*v**3 + o**2*v**3 + 3*o*v**3 + 28*o + 652*v wrt o? -1199850*o*v**3 + 2*v**3 Find the third derivative of -20290*q**3 - 11056*q**2. -121740 Find the second derivative of 25946*n**4 + 20743*n. 311352*n**2 Differentiate 60389*s*y**3 - 28810*y**3 with respect to s. 60389*y**3 What is the third derivative of 314049*g**2*j**3 - 8*g**2*j**2 - 2*g*j**2 + 4474*j**2 wrt j? 1884294*g**2 Differentiate 4010942*b*k**3 - 32290*k**3 - 5*k**2 + 7 wrt b. 4010942*k**3 What is the first derivative of 21446*b**3 - 48562 wrt b? 64338*b**2 Find the third derivative of -12*c**3*m**3 - 13481*c**3*m**2 - c**2*m**3 - m**3 - 415905 wrt c. -72*m**3 - 80886*m**2 Find the second derivative of -20976*y**4 + 32479*y wrt y. -251712*y**2 Find the first derivative of -2337167*a**4 - 2830589 wrt a. -9348668*a**3 Find the second derivative of 537093*v**3 - 169*v - 842 wrt v. 3222558*v Find the second derivative of -649*r**5 - 26*r**4*t - 15*r - 1111*t wrt r. -12980*r**3 - 312*r**2*t Find the second derivative of o**3*s - o**3 - 2209*o**2*s + 92*o*s - 2*o - s - 6 wrt o. 6*o*s - 6*o - 4418*s Find the third derivative of 679685*g**4 + 1222*g**2 + 107*g + 2 wrt g. 16312440*g Find the first derivative of u**2*v**2 + u**2*v + 88432*u**2 + 487*u*v - 63*v wrt v. 2*u**2*v + u**2 + 487*u - 63 Find the second derivative of 57*b**3*g**2*s + 33*b**3*g - b**3*s - 12*b**2*g*s + 103*b*g**2 + 18*b*g - 58*g**2 wrt g. 114*b**3*s + 206*b - 116 What is the third derivative of -216*q**6 - 425*q**4 + 156016*q**2 + 1 wrt q? -25920*q**3 - 10200*q What is the second derivative of -2351679*f**3 - 312*f - 778? -14110074*f What is the third derivative of p*x**4 - 7*p*x**3 + p*x**2 - 169*p*x - 2*x**4 + 105*x**3 + x wrt x? 24*p*x - 42*p - 48*x + 630 Differentiate 252*n**2 - 76*n + 1233250 wrt n. 504*n - 76 What is the second derivative of -115049*b**4 - 2*b - 4349? -1380588*b**2 What is the second derivative of 54693*v**3 - 2*v + 13343? 328158*v Find the second derivative of 2*p**2*y*z - 1784*p**2*z**2 - p*y**2*z - 53*p*y + 307*y**2*z**2 - 5602*y*z wrt z. -3568*p**2 + 614*y**2 Find the third derivative of -89*n*r**4 + 573*n*r**2 - 457*r**4 - 73*r**2 wrt r. -2136*n*r - 10968*r Find the third derivative of 152*k**3*r**3 - 2*k**3*r**2 - 3797*k**3 - 2*k**2*r**3 - 2197*k**2 wrt k. 912*r**3 - 12*r**2 - 22782 Find the first derivative of 63*z**4 - 1178*z + 138242. 252*z**3 - 1178 Find the third derivative of -53658*k**5 - 2538*k**2 wrt k. -3219480*k**2 What is the third derivative of -371532*g**3 + 57294*g**2 wrt g? -2229192 What is the third derivative of -28963*p**3 - 780*p**2 + 4*p + 2? -173778 Find the third derivative of 6*f**4*u - 1072*f**3*u**2 - 18*f**2*u**2 + f**2 - 125*f*u**2 wrt f. 144*f*u - 6432*u**2 Differentiate 85*a*b*r**2 + 4*a*b*r + a*b + 1295*a*r**2 - 2*b*r - 4 wrt b. 85*a*r**2 + 4*a*r + a - 2*r Find the second derivative of 9006*d**3 + 738*d - 2. 54036*d Find the first derivative of 2*l*p**3*v - 4981*l*p**3 + 2*l*p*v - 50*l - 10130*p**2*v wrt v. 2*l*p**3 + 2*l*p - 10130*p**2 Find the third derivative of -g**6 + 130*g**5 - 133*g**3 + g**2 + g - 102560. -120*g**3 + 7800*g**2 - 798 What is the second derivative of 33*g**3 - 12*g**2*w**2 - g**2*w - g**2 + 108540*g*w**2 wrt g? 198*g - 24*w**2 - 2*w - 2 What is the second derivative of -7*a**2*g**3 - 3*a**2*g + 1898*a**2 - 12812*g**3 wrt g? -42*a**2*g - 76872*g What is the first derivative of -4977*j**4 + 49969 wrt j? -19908*j**3 What is the second derivative of 111331*a**3*r**3 + 161127*a**3*r + a**2*r**3 - 2 wrt r? 667986*a**3*r + 6*a**2*r Find the third derivative of 4595553*c**3*p - 419147*c**2*p + p wrt c. 27573318*p Find the second derivative of -4*h**3 + 1061*h**2 - 2*h + 1968 wrt h. -24*h + 2122 Differentiate -16*y**3 - 106*y**2 - 60*y - 170167. -48*y**2 - 212*y - 60 What is the derivative of -2882865*t**2 - 2272990 wrt t? -5765730*t What is the third derivative of 4*q**6 + 2*q**4 + 1371*q**3 + 4*q**2 - 3094 wrt q? 480*q**3 + 48*q + 8226 Find the first derivative of -82*p**4 + 95*p + 40162 wrt p. -328*p**3 + 95 What is the second derivative of p**5 + 25*p**3 + 17*p**2 - 104223*p wrt p? 20*p**3 + 150*p + 34 Find the third derivative of -o**2*y**4 - 4*o**2*y**2 + 20*o**2*y - 6569*y**5 - 129*y**2 wrt y. -24*o**2*y - 394140*y**2 What is the first derivative of -l**2 - 37203*l + 301863 wrt l? -2*l - 37203 What is the derivative of -3*a*h*v**2 - a*h + 2*a*v**2 - 8*h*v**2 + 125*h*v - 10305*v**2 - v wrt h? -3*a*v**2 - a - 8*v**2 + 125*v What is the second derivative of 92948*y**3 + y + 1973 wrt y? 557688*y What is the second derivative of h**3*l**5 - 550*h**3*l**3 + 2*h**3 + 5*h**2 - 25*h*l + 6*l wrt l? 20*h**3*l**3 - 3300*h**3*l What is the third derivative of -25*c**3*d**3 - 22*c**3*d + 26*c**2*d**3 - 616*c*d**2 - d**3 wrt d? -150*c**3 + 156*c**2 - 6 Find the third derivative of 3*d*h**3 - d - 344916*h**3 + 620573*h**2 wrt h. 18*d - 2069496 What is the second derivative of 82977*u**5 + 380*u - 59 wrt u? 1659540*u**3 Differentiate 6*d*j**3 - 2*d*j**2 - 5*d*j - 49616*d - 2*j**3 - 244387 with respect to d. 6*j**3 - 2*j**2 - 5*j - 49616 Differentiate -301168*i**2 + 177708. -602336*i Find the second derivative of 22996*n**3*x**2 - 4*n**2*x**2*z**3 - 10*n*x**2 + 2*n*x*z - x**2*z**3 - 58*z**3 - 44*z wrt n. 137976*n*x**2 - 8*x**2*z**3 What is the third derivative of 12*b**2*r**4 - 102*b**2 - 256*b*r**3 + 17765*b*r**2 + 9*r**5 wrt r? 288*b**2*r - 1536*b + 540*r**2 What is the first derivative of -61115*b - 15850 wrt b? -61115 Find the second derivative of -367763*s**3 - 272*s - 112. -2206578*s What is the first derivative of -13508*l**2*t**3 - 2*t**3 - 4*t**2 - 44*t wrt l? -27016*l*t**3 What is the first derivative of 125*q**4 - 11*q**3 - 12*q**2 - 4*q + 1002576 wrt q? 500*q**3 - 33*q**2 - 24*q - 4 What is the second derivative of 1207610*z**2 + 2*z + 128069 wrt z? 2415220 What is the first derivative of 86*a*q*z**2 + 2*a*q*z + 113*a*q - 87*a + 9*z**2 + 3 wrt z? 172*a*q*z + 2*a*q + 18*z Differentiate -472958*q - 2337168. -472958 Find the first derivative of -7*i*w**2 + 2*i*w*y**2 + 17*i*w + 5289*i*y**2 + 3*i - 5*w**2*y + 19*w**2 wrt y. 4*i*w*y + 10578*i*y - 5*w**2 Find the second derivative of 7*k**3*v**2 - 2*k**3*v + 541*k**2*v**2 + 2*k*v**2 + 3*k*v + 10292*v - 2 wrt v. 14*k**3 + 1082*k**2 + 4*k What is the third derivative of 49069*n**4 + 16686*n**2 wrt n? 1177656*n Find the third derivative of 539*p**6 + 76*p**3 - 634*p**2 - 99 wrt p. 64680*p**3 + 456 Find the second derivative of 47845*b**3*j**2 - 6*b**3*j - 2*b**3 + 405*b**2*j - 2 wrt j. 95690*b**3 Find the second derivative of 55079*b**2*v*y**3 - b**2*v - 2635*b*v*y**3 + 3*v*y**3 wrt b. 110158*v*y**3 - 2*v What is the second derivative of 4*h**2*j**3 - 2989208*h**2*j - 31955*j**2 wrt j? 24*h**2*j - 63910 Differentiate -49478*h + 182278 with respect to h. -49478 What is the second derivative of -407*b**2*i**3 - b**2*i**2 - 44*b**2 + b*i**2 + 2*b*i - 2004*b - 2*i**3 wrt b? -814*i**3 - 2*i**2 - 88 What is the second derivative of 771391*q**4 + 461105*q + 1 wrt q? 9256692*q**2 What is the third derivative of -84*t**2*v**3 + 26*t**2 - 328*t*v**3 - 14*t*v**2 + 4*v**4 + 195*v wrt v? -504*t**2 - 1968*t + 96*v What is the second derivative of -1210*n**3 + 73*n**2 + 48*n + 1130? -7260*n + 146 Find the second derivative of -2*b**5 + 22610*b**3 - 41433*b + 3 wrt b. -40*b**3 + 135660*b What is the second derivative of -3050710*f**2 - 5727165*f wrt f? -6101420 Find the second derivative of -3*a**5 + 12123*a**2*x**3 + 75*a*x**3 + 2*a*x + 5*x**3 wrt a. -60*a**3 + 24246*x**3 Differentiate -3992*v**3 + v**2 + 4*v - 124440 with respect to v. -11976*v**2 + 2*v + 4 Differentiate 257952*g**4 - 122749 wrt g. 1031808*g**3 What is the third derivative of 34627*c**2*g**3 - c**2*g - c*g**3 + 7*c*g**2 + 2*c*g - 3*g**3 + 33*g**2 wrt g? 207762*c**2 - 6*c - 18 What is the second derivative of -207*x**5 + 89*x*
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {f: 4, k: 7}. 14/55 What is prob of sequence qyyu when four letters picked without replacement from {y: 7, u: 2, q: 4}? 14/715 Two letters picked without replacement from {o: 1, c: 1, j: 1, l: 1, x: 1}. What is prob of sequence lx? 1/20 Calculate prob of sequence nic when three letters picked without replacement from {i: 3, l: 2, c: 6, n: 2}. 3/143 Three letters picked without replacement from {i: 2, m: 2, v: 5}. What is prob of sequence vii? 5/252 Four letters picked without replacement from ooovodovoo. Give prob of sequence oodv. 1/60 Three letters picked without replacement from {q: 8, z: 5, i: 7}. Give prob of sequence qqz. 7/171 Three letters picked without replacement from {o: 4, a: 4, r: 3, w: 6}. What is prob of sequence awr? 3/170 Calculate prob of sequence zsc when three letters picked without replacement from {c: 1, i: 5, o: 3, s: 1, z: 4, b: 4}. 1/1224 Four letters picked without replacement from {n: 1, r: 4, q: 2}. What is prob of sequence rnqq? 1/105 Four letters picked without replacement from {h: 1, z: 2, a: 8, m: 2}. Give prob of sequence hama. 14/2145 Calculate prob of sequence kak when three letters picked without replacement from {e: 1, q: 3, k: 2, a: 1}. 1/105 What is prob of sequence bvf when three letters picked without replacement from vbfggvl? 1/105 Two letters picked without replacement from wdvtrwvg. Give prob of sequence dg. 1/56 Two letters picked without replacement from {x: 12, f: 6}. What is prob of sequence fx? 4/17 Two letters picked without replacement from mbt. Give prob of sequence bm. 1/6 Four letters picked without replacement from {k: 6, l: 7}. What is prob of sequence kkkl? 7/143 What is prob of sequence rrrr when four letters picked without replacement from rrrrrr? 1 What is prob of sequence ju when two letters picked without replacement from cwufuwcjcwz? 1/55 Three letters picked without replacement from {h: 4, u: 2, c: 1, d: 2}. Give prob of sequence udh. 2/63 Two letters picked without replacement from zeeessqsess. What is prob of sequence sz? 1/22 Three letters picked without replacement from bbsbybs. What is prob of sequence bbb? 4/35 Two letters picked without replacement from mmmnnmmmmmmmmmmmmn. Give prob of sequence nm. 5/34 Four letters picked without replacement from dtutttyddthd. Give prob of sequence hudd. 1/990 Calculate prob of sequence za when two letters picked without replacement from mzmzzzzazzzzzzazmz. 13/153 What is prob of sequence ggo when three letters picked without replacement from {o: 5, d: 6, g: 2}? 5/858 Calculate prob of sequence ffef when four letters picked without replacement from fffefffef. 5/36 Three letters picked without replacement from {v: 5, y: 1, x: 1, i: 2, a: 1}. Give prob of sequence ixy. 1/360 Four letters picked without replacement from loutututltttull. What is prob of sequence ltlu? 4/455 Calculate prob of sequence iimm when four letters picked without replacement from {m: 3, t: 1, i: 3}. 3/70 What is prob of sequence ddd when three letters picked without replacement from dfdffd? 1/20 What is prob of sequence ac when two letters picked without replacement from hahaccaahhhah? 5/78 What is prob of sequence lj when two letters picked without replacement from jljnjyy? 1/14 Calculate prob of sequence lnsx when four letters picked without replacement from {n: 3, d: 1, s: 3, a: 3, x: 3, l: 1}. 9/8008 Two letters picked without replacement from hhhhh. Give prob of sequence hh. 1 Two letters picked without replacement from zcxbzzxz. Give prob of sequence cb. 1/56 What is prob of sequence ro when two letters picked without replacement from vorrojjovoojroo? 1/10 Calculate prob of sequence acv when three letters picked without replacement from iiiciccicacaicvacc. 1/204 Two letters picked without replacement from {m: 9, v: 2, e: 1, u: 6, i: 1}. Give prob of sequence iv. 1/171 What is prob of sequence lmk when three letters picked without replacement from mmmmmlumkkmk? 7/440 Calculate prob of sequence tu when two letters picked without replacement from ooizoooitoruorooti. 1/153 Calculate prob of sequence mjyp when four letters picked without replacement from {p: 3, m: 1, y: 3, j: 4}. 1/220 Calculate prob of sequence ee when two letters picked without replacement from xexexxx. 1/21 Four letters picked without replacement from nlnlnnnllllnnl. What is prob of sequence nlll? 35/572 What is prob of sequence iii when three letters picked without replacement from {i: 9}? 1 Four letters picked without replacement from {b: 1, u: 5, c: 5, v: 3, l: 2}. What is prob of sequence llvb? 1/7280 Calculate prob of sequence nll when three letters picked without replacement from lnl. 1/3 Two letters picked without replacement from {d: 6, k: 4}. What is prob of sequence kd? 4/15 What is prob of sequence zxu when three letters picked without replacement from {x: 5, j: 1, r: 1, u: 1, z: 2}? 1/72 Four letters picked without replacement from fktzffwtwt. What is prob of sequence fkzt? 1/560 Calculate prob of sequence kka when three letters picked without replacement from akbakkks. 1/14 Three letters picked without replacement from nlhpqqq. What is prob of sequence nqh? 1/70 Calculate prob of sequence iqqe when four letters picked without replacement from {i: 6, q: 3, k: 2, x: 4, e: 2}. 3/2380 Three letters picked without replacement from luxxxlxxul. Give prob of sequence luu. 1/120 Two letters picked without replacement from {q: 3, v: 4}. What is prob of sequence qq? 1/7 Two letters picked without replacement from {p: 1, u: 1, h: 1, y: 2, b: 1, i: 2}. What is prob of sequence bi? 1/28 Calculate prob of sequence za when two letters picked without replacement from {d: 3, z: 1, v: 1, w: 4, a: 8}. 1/34 What is prob of sequence te when two letters picked without replacement from {t: 7, u: 10, e: 1}? 7/306 What is prob of sequence zp when two letters picked without replacement from zjjzjpppj? 1/12 Two letters picked without replacement from sqjxckcjccjjjxjc. Give prob of sequence ck. 1/48 Two letters picked without replacement from {v: 3, u: 1, g: 2, i: 1}. Give prob of sequence gi. 1/21 Three letters picked without replacement from {l: 1, t: 2, h: 1, j: 1, v: 2, z: 1}. Give prob of sequence vvj. 1/168 What is prob of sequence hhy when three letters picked without replacement from {x: 2, u: 1, w: 1, h: 7, y: 4}? 4/65 What is prob of sequence zzyy when four letters picked without replacement from {z: 3, y: 5, x: 1}? 5/126 Two letters picked without replacement from nurrnananvnuarnnnar. Give prob of sequence uv. 1/171 Three letters picked without replacement from oyly. What is prob of sequence yoy? 1/12 What is prob of sequence hwk when three letters picked without replacement from {k: 5, h: 2, t: 1, i: 6, w: 1}? 1/273 Three letters picked without replacement from {v: 1, e: 1, l: 6, u: 8}. Give prob of sequence uue. 1/60 Three letters picked without replacement from eeeeeaaaeeeeae. What is prob of sequence aaa? 1/91 Three letters picked without replacement from {m: 1, o: 1, x: 1, r: 2}. Give prob of sequence orm. 1/30 Calculate prob of sequence ghg when three letters picked without replacement from {y: 2, g: 4, h: 1, k: 1}. 1/28 Calculate prob of sequence vsp when three letters picked without replacement from mmspgvlp. 1/168 Calculate prob of sequence xx when two letters picked without replacement from {z: 6, t: 7, x: 2}. 1/105 What is prob of sequence jxj when three letters picked without replacement from jxjiijjjijiijjx? 8/195 What is prob of sequence giig when four letters picked without replacement from {c: 5, y: 2, i: 4, g: 2}? 1/715 What is prob of sequence exeo when four letters picked without replacement from {x: 2, o: 1, n: 1, s: 3, e: 8, i: 1}? 1/390 Calculate prob of sequence ux when two letters picked without replacement from {u: 9, x: 5}. 45/182 What is prob of sequence vw when two letters picked without replacement from vayzaazwa? 1/72 What is prob of sequence qs when two letters picked without replacement from {s: 2, q: 1}? 1/3 Two letters picked without replacement from {m: 3, u: 13}. What is prob of sequence mu? 13/80 Two letters picked without replacement from {u: 4, e: 3}. Give prob of sequence ee. 1/7 Four letters picked without replacement from v
{ "pile_set_name": "DM Mathematics" }
. Is 149 + q/(35/(-25)) even? True Let f be (-8)/(-10)*(-855)/18. Let h be 0 - (-81 - 1*(-2 + -1)). Let n = f + h. Does 16 divide n? False Let o = -1873 + 1867. Let g be 8/(-28) - (-264)/(-7). Does 3 divide g/(-6) - (-2)/o - -3? True Suppose 19*y + 141571 = 23*y + 7*u, 2*y - u - 70763 = 0. Is 130 a factor of y? False Suppose 4*y + f - 23805 = 0, 5173 = -2*y + f + 17068. Does 18 divide y? False Suppose 13*f - 20*f + 3787 = 0. Suppose -3*v + f = -2*a, -3*v + 4*a = -0*a - 551. Is 15 a factor of v? False Suppose -4*w = 3*g - 92, 0 = 7*g - 2*g - 2*w - 162. Let x = -44 + g. Let n = 36 + x. Does 3 divide n? True Suppose 6*p - 16*p = 40*p - 335600. Does 4 divide p? True Let o(f) = 12*f**2 - 7*f + 12. Let v(w) = w**3 - 3*w**2 + 6*w - 2. Let u be v(2). Let x be o(u). Is ((-6)/(-9))/(2/x) a multiple of 11? False Suppose 0 = 235*s - 237*s + 10. Is -8 + s + 371 + 1 a multiple of 41? True Suppose -43*k + 13056361 - 2903169 = 153*k. Is k a multiple of 118? True Let v be 4/8*(-2 + 4). Let t be v*-3 - 84/(-28). Suppose 2*h = -t*z - 2*z + 54, -3*h + 116 = -4*z. Does 5 divide h? False Is 4415 - (-147)/(-168)*24 a multiple of 26? True Suppose 6*v - 25 = v. Suppose -10*a + 150 = -v*a. Does 5 divide (-116)/(-5) + (-6)/a? False Let u be (-3 - 0) + 0 - -132. Let f(v) = 74*v**2 - u + 131 + 93*v**2 + 2*v - 45*v**2. Does 32 divide f(-1)? False Suppose -7*t = 6*t - 338. Suppose -t + 89 = 3*o. Is o a multiple of 21? True Suppose 2*u + 3*y - 13 = 7*u, 2*u - 4*y = 6. Let l be (u/5 - -4)/(9/276). Let v = l + -56. Is v a multiple of 3? True Let q = -179 - -272. Suppose -2*h - 109 = -3*x - 7, 3*x - 5*h = q. Is 88/9 - (-8)/x a multiple of 5? True Let y be 3/((-154)/26 + 6). Suppose -y*t + 987 = -36*t. Does 20 divide t? False Suppose -926*g = -908*g - 602550. Is 27 a factor of g? False Let l = -336 - -2858. Does 42 divide l? False Suppose -u - 72 = 2*z - 1061, 0 = 3*z + 3. Is 13 a factor of u? False Suppose -92*h = -43285 - 7315. Does 11 divide h? True Let i(c) = 10*c - 5*c + 73 - c**2 - 4*c. Is 8 a factor of i(0)? False Suppose 100 = 4*z + 84. Suppose -z*s - 3*f = -9, 6*f = 5*s + f + 15. Suppose 2*h - 10 = 0, s*a - 3*a - 2*h + 139 = 0. Does 8 divide a? False Let d(m) = -3*m**3 - 21*m + 102. Is d(-9) a multiple of 177? True Let i(v) = -108*v**3 - 36*v**2 - 179*v - 6. Is i(-6) a multiple of 28? True Let o = 8477 + -5741. Does 29 divide o? False Suppose 0 = -o - 2*a + 816, 2038 = -4*o + 2*a + 5302. Let u = -400 + o. Is u a multiple of 30? False Let n(v) = 9*v**2 - 7*v - 4. Let d(t) = 14*t**2 - 10*t - 6. Let r(j) = -5*d(j) + 8*n(j). Let q be 9 + -7 + 1 + 4. Does 13 divide r(q)? False Suppose p = -4*m + 84, 2*m + 2*p = 3*m - 21. Let t(g) = -22 - 5*g - 32 + m. Is t(-10) even? False Let i = 48 - 45. Suppose i*o + 265 = 1105. Suppose 19*y - o = 12*y. Is y a multiple of 4? True Suppose -2*u + 5*h - 908 = 0, -4*u - 1462 = -5*h + 334. Let c = 747 + u. Does 15 divide c? False Suppose 5*w = -4*d + 213, -8*w + 3*w = -5*d - 240. Does 9 divide -848*(-18)/w*5/4? False Let v(c) = -2*c**2 + 181*c - 39. Does 28 divide v(23)? False Suppose 0 = -4*c + 85 + 227. Is 2 a factor of (1*(0 + -2))/((-26)/c)? True Is 17 a factor of ((-156)/286)/(24/(-60324))? False Suppose -w - 745*n + 748*n = -2475, -2*n + 6 = 0. Does 23 divide w? True Let h = -456 + 904. Suppose 2*t + 2*t - 1078 = -5*a, 4*t = 2*a - h. Suppose -2*n + 2 = -a. Is n a multiple of 11? True Let s(a) = -a**2 + 31*a + 2. Let z = 220 - 195. Does 19 divide s(z)? True Suppose 0 = -s - a + 1048, -126 = -3*a - 141. Is 27 a factor of s? True Suppose 12 = -4*t - 2*t. Let o be (-2 - t) + -2 - (-3 + 1). Suppose -2*b = -5*k + 51 + 12, -2*k + b + 25 = o. Is 10 a factor of k? False Suppose -2364 = 20*s + 11376. Let p = -246 - s. Is p a multiple of 63? True Let k(i) = 15*i + 116 - 186 + i. Does 31 divide k(15)? False Let b = 444 + -445. Is b/2*10 - 1652/(-28) a multiple of 5? False Let o(a) be the third derivative of -a**5/60 + a**4/24 + a**3 + 11*a**2. Let s be o(-7). Is 5 a factor of (-2)/(-5) - 480/s? True Let s(t) = t + 7. Let d be s(-5). Suppose -2*h - 12 = -4*b + d*b, 2*b = 6. Is 2*(h - 147/(-6)) a multiple of 32? False Let m(h) = 2*h**2 + 19*h - 232. Is m(-36) a multiple of 2? True Let i(o) be the third derivative of o**4/12 + 19*o**3/6 - 39*o**2 + 3. Suppose 0 = -3*x + 3*n + 25 + 14, -5*x + 53 = n. Does 10 divide i(x)? False Let j = 19082 - 60123. Is 8/10 - j/55 a multiple of 14? False Let x(d) = -d**2 + 8*d - 3. Let u be x(7). Let s = 2173 - 2168. Suppose -5*l + a = -775, 10*l - u*a - 775 = s*l. Does 14 divide l? False Let q = -20318 + 42998. Is 105 a factor of q? True Let y(n) = 52*n + 24 + 36*n - 77*n. Is y(21) a multiple of 14? False Let k be (-200)/(1 - -3) + 10/10. Let a = k - -840. Does 6 divide a? False Let v = 127 + 184. Suppose -2*u - v = -3*y - 117, -y = -3*u - 67. Suppose -a + 36 = -y. Is 10 a factor of a? True Let v be 3 - (-28)/(-8) - (-35)/10. Suppose 0 = -i - 3*f + 75, f = -v*i - i + 245. Does 3 divide i? True Does 13 divide 1305300/2250 + 2/(-15)? False Suppose 3*y - 22*y = -171. Is 36 a factor of 1957/5 + 4 - y/(-15)? True Suppose -804*t + 59138 = -802*t. Does 9 divide t? False Suppose 31*y - 194946 + 36009 = 0. Is 52 a factor of y? False Let o(a) = a**2 - 99*a + 355. Is 2 a factor of o(99)? False Is (189620/(-7))/(-10) + (-12)/14 a multiple of 2? True Is (1946*52/(-546))/((-3)/54) a multiple of 8? True Suppose -v = -4*s + 7539 - 644, 0 = -5*s + 3*v + 8610. Is 25 a factor of s? True Let j(w) = w**2 + 3*w + 4. Let y(b) = 2*b**2 + 9*b + 2. Let v be y(-4). Let k be j(v). Suppose 5*r - 4*r = 3*i, -k*i = -8. Does 4 divide r? True Let n(r) = -492*r + 9. Let x be n(1). Let s = -323 - x. Is 11 a factor of s? False Let l(a) = -a**3 - 2*a**2 - 10*a. Let w = 63 - 44. Let y = w + -24. Is 5 a factor of l(y)? True Let z = -109 - -130. Let t = -203 + z. Let o = 278 + t. Is o a multiple of 16? True Suppose -20*b + 240730 = -37350. Is b a multiple of 88? True Let n = 273 + -271. Is 27/n + ((-66)/12 - -6) a multiple of 7? True Suppose 30*a = 33*a - 9. Suppose 0 = 4*l + 8, -a*f + l + l + 265 = 0. Is f a multiple of 3? True Suppose 0 = 4*n - 12 - 4. Suppose -5*b = -p - 9*b + 8, 4 = n*b. Let a(r) = 18*r + 33. Is a(p) a multiple of 35? True Let o = -5204 - -7238. Is o a multiple of 113? True Let d be 41781/(-76)*32/(-6). Is (-70)/(-15) - 5 - d/(-12) a multiple of 4? True Let c(v) = -6*v + 16. Let b = -81 + 65. Let z be -3*b/18*(-63)/12. Is 10 a factor of c(z)? True Let h be -969 - (-7 - (-5 + -1)). Let t = 1440 + h. Is 34 a factor of t? False Let q(r) = -r**2 - 12*r - 29. Let t be q(-7). Let k be 39/t + (-12)/8. Is 2/k - 1512/(-70) a multiple of 11? True Let i(l) = -2*l + 20. Let t be (-8 + 6)*(-20)/4. Let q be ((-22)/(-4))/((-5)/t). Is 6 a factor of i(q)? True Suppose 2*j - 3*o - 6461 = 7*j, 1295 = -j - 2*o. Let k = j - -1961. Does 10 divide k? True Is (9 + (-12 - 3) - (-54)/(-1))/(-1) a multiple of 20? True Let g = -56 - -57. Let q be (-5)/10*g + 5/(-2). Is (-20)/2*(20/8 + q) a multiple of 2? False Let s = 41795 + -22711. Suppose -2*k - 11*k + s = 0. Is k a multiple of 21? False Let j be (30/(-35))/(2/(-42)). Let q = 185 + j. Is q a multiple of 5? False Suppose c - 18 = -4*w - 0, -5*c + 2*w = -2. Let h(x) = -12*x + 21*x**c + 1 + 19*x**3 + 5*x + 3*x**3 - 15*x**2. Is 17 a factor of h(2)? True Let n be 14/7*(-73)/2. Let t = 74 + n. Let k(b) = 15*b**2 - 2*b + 2. Does 9 divide k(t)? False Let w(o) = -o**3 + 7*o**2 - o + 6. Let m(z) = -z - 10. Let f be m(-12). Suppose 0 = -4*d + f*v + 24, 5*d - 3*v = -8*v + 15. Is w(d) a multiple of 17? True Let z(w) = 5*w + 93. Let c be z(-18). Suppose c*i - 3*l = 1857, -1268 = -i - i - 4*l. Is i a multiple of 15? False Suppose -37*h + 62048 = -5*h. Suppose 0 = -17*o + 849 + h. Is o a multiple of 82? True Suppose 68 = g - 58. Let q = -119 + g. Let l(k) = -k**3 + 8*k**2 + 7*k + 14. Does 8 divide l(q)? True Suppose -5*q = -2*w - 152645, 3*q - 9*w - 4477 = 87149. Is 240 a factor of q? False Let b be (-21)/(-63) + (-9800)/(-12) + 2. Let n = -766 + b. Does 7 divide n? False Suppose 0 = -18*v + 14*v + 32. Suppose 32 = -v*s - 0*s. Is 17 a factor of ((-160)/(-3))/s*(-6)/4? False Is 54 a factor of (-281*1)/((-1)/(4 - -11))? False Suppose 2*n = c - 2*n - 410, -4*c + 4*n = -1652. Does 3 divide c? True Let y(m) = -2*m**3 + 80. Supp
{ "pile_set_name": "DM Mathematics" }
50616 Find the second derivative of 1642701*h**5 + 4*h**3 + 23*h + 378484. 32854020*h**3 + 24*h Find the third derivative of f**3*o*t + 12421*f**3*o + 857*f**3*t**3 - 2*f**2*o*t**2 + 3*f**2*o*t + 121817*f*o + 5*t**3 wrt f. 6*o*t + 74526*o + 5142*t**3 Find the first derivative of -28*m**4 + 5962*m**2 + 3*m + 24760087. -112*m**3 + 11924*m + 3 What is the first derivative of 191354373*i**2 - 186548032 wrt i? 382708746*i Find the second derivative of 2530*q**2*v**2 - 687064665*q**2*v + 2275*q*v**2 - 4*v**2 wrt v. 5060*q**2 + 4550*q - 8 Find the third derivative of 197210007*f**3 + 2392573*f**2 + 58. 1183260042 Find the third derivative of 13826243*u**3 + 2927*u**2 + 1711*u + 2. 82957458 What is the second derivative of -241843860*v**2 + 232853971*v? -483687720 Find the third derivative of h**5 + 5*h**4 + 61224*h**3 - 3362027*h**2 - 2 wrt h. 60*h**2 + 120*h + 367344 Find the second derivative of -c**2*d**2 + 2434*c**2 + 865051*c*d**3 - 2*c*d - 48*c + 2*d wrt d. -2*c**2 + 5190306*c*d What is the third derivative of -2*s**6 + 274897705*s**4 - 2947*s**2 - 14*s + 134 wrt s? -240*s**3 + 6597544920*s Differentiate 523664520*t**2 + 1054766026 with respect to t. 1047329040*t What is the derivative of 4*i**3 + 48*i**2 + 15586*i + 31308210 wrt i? 12*i**2 + 96*i + 15586 What is the second derivative of -48175632*b**2 - 3*b + 1039754 wrt b? -96351264 What is the third derivative of 519564596*p**5 + 8*p**2 + 1434*p - 9068? 31173875760*p**2 What is the third derivative of 5*i*q**4 + 91*i*q**2*v + 2*i*q**2 + i*q*v - 73*q**4*v + 8259*q**4 - 4*q**2*v + 37*q*v wrt q? 120*i*q - 1752*q*v + 198216*q What is the third derivative of 2*k**5 - 123249627*k**3*y**2 + 943*k**2*y**2 + 97*k*y + 558*y + 2 wrt k? 120*k**2 - 739497762*y**2 What is the first derivative of -36443126*f - 8188785 wrt f? -36443126 Find the first derivative of -6634640*p + 18223653 wrt p. -6634640 What is the third derivative of -3*g**5 - 12298689*g**3 + 2*g**2 - 17573*g + 38? -180*g**2 - 73792134 What is the third derivative of 2*q**6 + 48980434*q**5 + 15434*q**2 - 2339*q wrt q? 240*q**3 + 2938826040*q**2 Find the third derivative of 635735139*i**3 - i**2 + 3514273*i + 5 wrt i. 3814410834 What is the first derivative of 72058901*y**4 - 209098879 wrt y? 288235604*y**3 What is the third derivative of -261598*h**6 - 15*h**3 + 51907*h**2 + 15 wrt h? -31391760*h**3 - 90 What is the second derivative of -10335363*h**2 - 262931280*h wrt h? -20670726 What is the third derivative of -521222093*n**3 + 8382*n**2 + 3496*n? -3127332558 Find the third derivative of -34*v**6 + 29994*v**5 + v**3 - 14149*v**2 + 182*v. -4080*v**3 + 1799640*v**2 + 6 What is the second derivative of -24355018*o**2*t - 23115344*o - 2*t wrt o? -48710036*t What is the third derivative of 7*u**4 - 298831*u**3 + 9*u**2 + 2367485? 168*u - 1792986 What is the second derivative of 3*i**4 + 842*i**3 + 33490*i**2 - i - 29544133? 36*i**2 + 5052*i + 66980 What is the second derivative of -72*p**3*s*v - 980*p**3 - 2*p**2*s**2*v - 42758*p*v - 107*s**2*v - 3*s*v wrt p? -432*p*s*v - 5880*p - 4*s**2*v Find the first derivative of -1128975*l**2*y - l*y + 12*y - 1737318 wrt l. -2257950*l*y - y What is the first derivative of -233*h**2 - 186091*h + 60772013? -466*h - 186091 Find the third derivative of -138165926*t**4 + 132*t**2 + 1091*t - 131. -3315982224*t Find the third derivative of -475093*v**5 - 2*v**2 - 40*v + 244 wrt v. -28505580*v**2 What is the first derivative of -391349072*s - 910801433? -391349072 Find the second derivative of -720*t**3*u**2*z - 14*t**3*u*z + 2*t**3*u + 65616*t**2*u**2*z + t**2 - 275541*t*u + 2*z wrt u. -1440*t**3*z + 131232*t**2*z Find the third derivative of -12720924*s**3 + 39901169*s**2. -76325544 Find the first derivative of -28*h**2*y + 240068340*h**2 - 400907*h*y wrt y. -28*h**2 - 400907*h What is the first derivative of 569861*f*g*v**2 + 30*f*q**3*v**2 - 9*g*q**3*v + 4*g*q**3 + g*q*v**2 + 2*q**3*v - 90*q**3 wrt f? 569861*g*v**2 + 30*q**3*v**2 Find the third derivative of 68165086*p**4*r - p**4 - 12713348*p**2 - 19*p*r wrt p. 1635962064*p*r - 24*p What is the derivative of 2*j*m*q**3 - j*m*q**2 - 2*j*m*q*u - 191*j*m - 3*j - 107*m*q**3*u - 13*m*q**3 + 7*m*q + 3401*m*u wrt u? -2*j*m*q - 107*m*q**3 + 3401*m What is the third derivative of a**3*l**3 + 23*a**3*l**2 - 370*a**3 + 36*a**2*l**3 + 3*a**2*l + 136690*l**3 - 3 wrt l? 6*a**3 + 216*a**2 + 820140 Differentiate 255217*d*t + 51*d - 54248555*t wrt d. 255217*t + 51 What is the first derivative of -17*d**3*w**2 - 1840002*d**3 - 264912*w**4 wrt w? -34*d**3*w - 1059648*w**3 Find the second derivative of 15387044*o**2 + 6*o - 191384 wrt o. 30774088 What is the second derivative of 3*c**3 + 10283873*c**2 - 128033598*c? 18*c + 20567746 Find the second derivative of 2*p**3*x**2 - 116133*p**3 + 174*p**2*x - 505351220*x**4 - x wrt x. 4*p**3 - 6064214640*x**2 What is the first derivative of 4660*m*v**2*z + 2537*m*v*z - 2*m - 2*v*z**2 + 36881870*z**2 wrt v? 9320*m*v*z + 2537*m*z - 2*z**2 Find the second derivative of -c**3 + 486852*c**2 + 24840806*c. -6*c + 973704 What is the second derivative of -7*g**5 + 107525*g**4 - g**3 - 16470463*g? -140*g**3 + 1290300*g**2 - 6*g What is the derivative of -19*v**3 + 164*v**2 - 91*v + 120567348 wrt v? -57*v**2 + 328*v - 91 What is the third derivative of 5*f**5 + f**4 - 14231*f**3 + 619200924*f**2 wrt f? 300*f**2 + 24*f - 85386 Find the third derivative of 218538731*b**3 + 2*b**2 - 169589703*b. 1311232386 What is the third derivative of -14234*q**5 + 4*q**4 + 72*q**3 - 7914*q**2 + 483? -854040*q**2 + 96*q + 432 Find the third derivative of 2*n**5 - 45993593*n**3 - 153*n**2 + 5*n - 1868 wrt n. 120*n**2 - 275961558 Differentiate -2319367*h*m + 3555607*m with respect to h. -2319367*m What is the first derivative of -11163768*g*i*q + 4208*g*i + 4*i*q + 73523*i wrt q? -11163768*g*i + 4*i Find the third derivative of 6145099*b**6 + 109*b**2 + 2*b - 9042. 737411880*b**3 Find the third derivative of 60702702*m**3 + 260*m**2 + 69011 wrt m. 364216212 Find the first derivative of 320279341*q - 952504258 wrt q. 320279341 Find the second derivative of -47170032*k**3 - 12889203*k. -283020192*k Find the first derivative of 140071339*n**4 - 4495874 wrt n. 560285356*n**3 What is the second derivative of -1893*b**2*s + 242554*b**2 + 125793*b*s + 9*b + 2*s + 4 wrt b? -3786*s + 485108 Find the second derivative of -13485*a**2*k**2 - a**2*k - 3*a**2 + a*k**2 - 261*a*k - 245*k**2 - 158*k wrt k. -26970*a**2 + 2*a - 490 What is the second derivative of 694*d**3*i + 10462*d**3 - 2*d**2*i + 3702*d*i + 1459 wrt d? 4164*d*i + 62772*d - 4*i What is the first derivative of 84022*l**4 + 1268*l - 120837932? 336088*l**3 + 1268 Find the third derivative of 2034*g**5 + 12679*g**4 - 219056308*g**2 wrt g. 122040*g**2 + 304296*g What is the third derivative of -73070360*w**3 + 3*w**2 - 4*w + 188971? -438422160 What is the first derivative of 576335*w - 3109497 wrt w? 576335 Find the third derivative of 9*a**5 - 27552966*a**4 + 121882186*a**2 wrt a. 540*a**2 - 661271184*a What is the third derivative of -10107841*y**4 - 2*y**2 - 1532580? -242588184*y Find the first derivative of 14848163*c**2 + 18*c - 5438613 wrt c. 29696326*c + 18 What is the derivative of 194*y**3 - 5852*y**2 + 4084593? 582*y**2 - 11704*y What is the second derivative of -5510*h**2*r**2 - 490081428*h**2*r - h*r**2 - 24747*r**2 wrt r? -11020*h**2 - 2*h - 49494 What is the second derivative of 2523*a**2*p*r**3 - 9430*a**2 - 5251*a*p*r**3 - a*r**3 - 7*p*r**3 + 2*p wrt a? 5046*p*r**3 - 18860 Find the second derivative of 1634*x**4*z**3 + 3733*x**3*z + 7167*x*z**3 - 5*x*z**2 - 4*z**2 wrt x. 19608*x**2*z**3 + 22398*x*z What is the derivative of 52*q**4 - 2*q**3 + 306*q**2 + 36*q + 3515079? 208*q**3 - 6*q**2 + 612*q + 36 What is the second derivative of 1946*k**2*n**3*z**3 - 56*k**2*n**3*z**2 - 14*k*n**3*z**3 + 4*k*n**2 + 2*n**3*z**2 + 15*n*z**3 - 393*z**3 wrt k? 3892*n**3*z**3 - 112*n**3*z**2 Find the first derivative of 3*d**3 + 416668*d + 7787538. 9*d**2 + 416668 What is the third derivative of -118894151*s**5 - 2*s**3 + 96*s**2 + 860697*s + 2? -7133649060*s**2 - 12 Find the second derivative of 75*a**3 - 1622346*a**2 + 198700746*a wrt a. 450*a - 3244692 What is the derivative of 9091202*f**3*l - 136*l + 20741 wrt f
{ "pile_set_name": "DM Mathematics" }
130*t - 95 = 125*t. Suppose 2*s - 3*o = t, -3*s - 3*o = o - 71. Solve 3*q = 3*d + 7*q + 23, -5*d - s = -4*q for d. -5 Suppose -5*t + 0*t = 2*w + 39, -3*w + 45 = -4*t. Let h be 4/(15/t - -3). Suppose 29*u - 159 = -14. Solve 0*v = -u*v + h*p - 7, 5*p - 1 = 3*v for v. -2 Let q = -4014 + 4017. Solve 9*c - 4*c = 4*o - 10, -q*o - 2*c = -19 for o. 5 Let p(b) = 4*b**2 - 3*b - 3. Let k be p(-1). Suppose 20 = 5*m - 5*d + 6*d, -4*m - 8 = -k*d. Solve -2*z = 3*o + 3*z - 26, 14 = m*o + 2*z for o. 2 Suppose 0 = 14*a - 20*a - 17 + 65. Solve 5*s = 3*d + a, -13*s + 4*d = -11*s + 8 for s. 4 Suppose 0 = 2*c - 4*v - 10, -c - 3*c = 3*v - 9. Solve 2*k = -3*n + 13, c*n = -0*n + 4*k + 1 for n. 3 Let l = 754 - 748. Solve 3*r - l = 5*a, -4*r + 2*a = -r + 3 for r. -3 Suppose -5*u + h + 27 = 0, 3*u + 21 = 6*u - 3*h. Let x(n) = n**2 + 2*n - 32. Let o be x(u). Solve 3*w - 2*l - 3*l = o, -2*w + 4 = -4*l for w. -4 Suppose 0 = -b + 5 - 2. Let g = -32 + 55. Let v(x) = -2*x**2 + 140*x - 988. Let a be v(8). Solve -3*o - a*p - g = 0, 2*p - 6 = o + b*p for o. -1 Suppose -z = -2*t + 19, 40 = 5*t + 5*z + 15. Suppose -f = 5*y - 17, 5*y - 5*f - 13 + t = 0. Solve -y*h = -3*s + 21, 5*s + 0*h + h = 17 for s. 4 Let y = -37 + 49. Suppose y - 10 = r. Suppose 4*q = -5*o + 88, o - 34 = -o - r*q. Solve -11 = 2*j - 4*w + 5, 4*j + o = 4*w for j. -2 Suppose -11 = z - 2*z + 5*n, 0 = 5*z - 3*n - 77. Solve -4*k + q - z = 0, -116*k - 4*q + 8 = -118*k for k. -4 Let j be (7 - 4)*(-4 + 3). Let z be (j + -2)*2/(-5). Let m be ((-4)/z - -1)/((-2)/10). Solve 5*d - 25 = m*o, -17 = o - 3*d - 2*d for o. -2 Let p be (-4)/(-2) + 1/((-1)/(-4)). Suppose 0 = 9*r - p*r + 9*r. Solve -4*o + 4*v = -12, r*v = 4*o - 3*v - 13 for o. 4 Let t(c) = c**3 - 4*c**2 - 3. Let k be t(4). Let v = 5 + k. Let x be (-2)/(-26) - (-11 + (-2686)/(-442)). Solve -g = 4*g + 10, v*w - x*g - 20 = 0 for w. 5 Let c be (4 + -15 - 27)/(-2). Solve 0 = d + 3, -3*w - d + 22 = c for w. 2 Let f be (1/(-2) + -1)/(11/1188). Let q = 166 + f. Solve -q*c - n = -24, -6*c + 5*n + 5 = -c for c. 5 Suppose 5*n - 7 = -5*q + 23, 3*q - n = 6. Let m be ((-1)/q)/((-3)/45). Solve -m*w - 3*a = -3, -w + 3*w + 4*a = 4 for w. 0 Suppose -148 = -18*n + 284. Let u be 6*((-7)/(-12) + (-6)/n). Solve u*j + j = -4*b + 5, -5*b + 20 = j for b. 5 Let u be (-2 - -1)/(11/(-66)) - 4. Suppose -5*g - g + u*g = 0. Solve 5*n - 5*p - 25 = g, -4*p - 11 = -0*n - n for n. 3 Let o = 0 - -20. Suppose -10*x - o*x = -120. Solve -4*m - 4*z = -1 + 9, -x*z = 5*m + 9 for m. -1 Let y = -293 - -317. Suppose 27*u = y*u + 9. Solve 3*r - 21 = u*d + 2*d, 0 = 3*r + 2*d for r. 2 Let q = 9 - -33. Let m(l) = -2*l**3 - 31*l**2 + 18*l - 8. Let g be m(-16). Let k = g + q. Solve u + 3 = 4*i - 1, 0 = -3*i - k*u - 8 for i. 0 Suppose -2*b + 4*a = -2, 0 = 4*a - 37 + 17. Suppose -b*w - g + 16 = -8*w, 0 = -w - 2*g + 7. Solve d + 0 = -2*q - 5, w*q = d - 9 for q. -2 Let u be ((-36)/(-15))/(140/(-75) - -2). Suppose -2*c + 18 = -u. Solve 23 = -3*g - 4*m, -4*g - 5*m = 47 - c for g. -1 Suppose -1772 + 1778 = 3*w. Solve -2*u - 6 = 4*b, 0 = 5*b + w*u + 5 + 1 for b. 0 Let n be (-8)/(-12)*14/(112/(-60)). Let z be n + (-3)/(-1) - (6 + -10). Solve 3*s + 3*g = -z*s + 9, 3*s - 3*g = -9 for s. 0 Suppose -46 = -4*a - 129*g + 132*g, 2*g = 3*a - 35. Solve 0 = -l - 3*c + a, 0 = 5*l - 2*c + 3 for l. 1 Let r(t) = -t**2 + 3*t + 23. Let i be r(-4). Let g be (8 + -2)*(i + (-55)/(-10)). Solve -5*a + 9 = g*n, 2*a - 16 = -n + 6*n for n. -2 Let l(x) = -3*x - 28. Suppose j + 3 = -2. Let w be ((-54)/(-15))/(1/j). Let n be l(w). Solve -4*c - 2*t = -22, t + 0*t = -5*c + n for c. 5 Let o(b) = -b**2 + 17*b + 64. Let w be 248/12 + 18/(-27). Let d be o(w). Solve 7*a - 8 = 3*a - d*y, -4*a + 4*y + 24 = 0 for a. 4 Let h be (0 - (-122)/42) + 16/(-6216)*-37. Solve -4*i - 6 = -2*a, 2*a + 13*i - 14*i - h = 0 for a. 1 Let u(d) = d**3 - 5*d**2 - 6*d + 7. Let z be u(7). Let m be 963/z - (57/(-21) + 3). Solve -8 = 4*k - 0*k, -3*k = 3*b + m for b. -3 Suppose 0 = -136*o - 103 + 375. Solve 22*x - 4 = 26*x, o*x + 2 = 3*j for j. 0 Let o(l) = -23*l + 72. Let x(m) = -6*m - 51. Let k be x(-9). Let h be o(k). Solve 0 = -2*i - 4*r + 14, -4*r = h*i - 0*r - 11 for i. -3 Let j = -18 + 20. Suppose -1796 = -54*r - 716. Solve -5*d = 2*y + j*y - r, -3*y - 4*d = -16 for y. 0 Let n be ((-1584)/(-112))/(-9)*-7. Solve 3*d + 24 = 6*v - n*v, d + 6 = -v for v. -3 Suppose 12*b - 37 = -4 + 3. Solve 4*n = -2*x, 0 = b*x - 3*x + 2*n for x. 0 Let x(j) = 114*j - 7 - 18 - 3 - j**2 - 125*j. Let w be x(-5). Solve 0 = 5*b - 5, 4*s + 7*b = w*b + 5 for s. 0 Suppose 69 = 15*n + 22 - 28. Solve 0 = a - 5*x + 5, a = 5*a - n*x + 5 for a. 0 Suppose -5*q + 3*d + 419 - 30 = 0, -4*q + 301 = d. Suppose g + 142 = -g. Let i = q + g. Solve 16 = -i*m - 3*l, 2*l + 9 + 0 = -3*m for m. -5 Let u = -1638 + 1643. Suppose -2*q + 3*q - 136 = -5*y, -q = y - 24. Solve 4*z - u*d = y - 9, -4*z = 5*d + 11 for z. 1 Suppose 2*t - 21 = -2*c - 15, -c = -3*t + 13. Solve -t*u + 2*d = -8, u - 41 = 2*d - 36 for u. 1 Suppose -4*f = 3*g - 155, 5*g - 2*f - 3*f = 200. Let j = 1400 - 1400. Suppose -3*n + j*n + g = 0. Solve n = -5*l + 2*r, l + 9 + 2 = 2*r for l. -1 Suppose -52*r - 2 = -51*r - 4. Solve -r = 2*x - g + 5, 3*x = 5*g for x. -5 Suppose 1235 - 1265 = -6*a. Solve 2*p - a*l = 17, -3*l = -p - 0*l + 10 for p. 1 Let h = -38 + 82. Suppose -120 = -h*s + 38*s. Suppose 4*y - 23 = i, 3*y + 2*i - s = -0*y. Solve p + o + 8 = 0, 14 = -p + 3*o - y*o for p. -5 Suppose -19*o + 103 - 188 = -123. Let m(d) = d**3 + 5*d**2 + 5*d + 2. Let p be m(-3). Solve 4*q - 1 = 5*a, p*q - a = o*a + 11 for q. 4 Let x(s) = -s - 4. Let t be x(-4). Suppose 3*o - 9 + 3 = t. Let q = 428 - 424. Solve 2*z + 6 = -o*y, 5*z + q*y + 10 = -5 for z. -3 Let n = 459 + -459. Solve n*f - 3*f - 3*x = -15, 4*f + 2*x = 14 for f. 2 Suppose 5*v = -5*c - 15, -5*v + 5 = 21*c - 20*c. Suppose -16 = 72*s - 73*s. Solve -4 = 2*p - a, -v*p = p + a + s for p. -4 Let b be -7 + 0 - (-181 + 170). Suppose 30 = 3*q + 2*q. Let h = q - 6. Solve -3*z + b*i = -11, -i - 3*i + 4 = h for z. 5 Let c = 1 - 1. Let l = -18162 + 18175. Suppose c = l*f - 94 + 16. Solve f*j + 11 = j - 4*d, -j = 5*d - 2 for j. -3 Suppose -996 = -12*w + 216. Let g = w + -80. Let s be 2/(3*(-4)/(-114)). Solve -3*z + g = -5*p, -3*p + 4*z = -z + s for p. -3 Let s be (1/1)/((-4)/(-20)). Suppose -16 = -7*k + s. Solve -3*c + c = 0, 0 = -k*q - c for q. 0 Suppose 3*i + 11 = 6*i + g, -2*i + 3*g = 0. Solve 0 = -i*n - 3*y - 21, -4 = -3*n + 2*y - 15 for n. -5 Let v(x) = 35*x + 343. Let n be v(-9). Solve 5*u + 2*f = 18, -4*u = -f + 11 - n for u. 4 Let f(n) = n**3 - 2*n**2 - 7*n + 2. Let z be f(4). Suppose -z*w - w + 63 = 0. Suppose -w*v + 50 - 5 = 0. Solve -5 = v*j - 0*j - 5*l, 0 = -2*j + 3*l - 5 for j. 2 Suppose 0 = 3*n + 1172 - 1181. Solve n*h - 10 = -c, 2*c + 4*h - h = 8 for c. -2 Suppose 0 = 8*l - 14*l + 462. Let f = 83 - l. Suppose 0 = 2*y - 4*x, 5*y - f = -0*x + 4*x. Solve z + 0*z + j = 0, -y = -j for z. -2 Let x = -10 + 18. Suppose 3*l - x*l = -10. Let m(q) = q - 4. Let u be m(8). Solve 0 = c + v, -u*v + l = -2 for c. -1 Let n be (-2)/7 - (-10)/35. Let h be 3/(9/(-4) + (-1 - -4)). Suppose 2*k + 80 = h*q, 9*q - 4*q - 2*k - 98 = n. Solve 5*g - x = -3*x + 2, -2*x = -5*g + q for g. 2 Let l(j) = -3*j**2 - 32*j - 80. Let m be l(-5). Solve -2*i - i + 32 = 5*a, 0 = -m*a - 2*i + 28 for a. 4 Let f(h) = -h**3 - 5*h**2 + 3. Let t be f(-5). Let r be (210/(-16))/(2061/(-5496)). Solve 7*i - r = 4*u + 2*i, 9 = -t*u - 2*i for u. -5 Let q = 4327 - 4323. Solve -2*m - 19 = 5*r + q, -4*m - 19 = r for m. -4 Suppose 0 = 3*l - 2*q - 13, 7*l - 2*l + 2*q = -5. Let v be (-5 + 4)*-8*l. Let i be v/6 - 22/(-33). Solve p = -3*w + i*p + 2, 4*p - 14 = w for w. 2 Suppose -z - 3 = -3*c + c, 2 = 3*c - 4*z. Suppose -c*i + 110 = 9*i. Suppose -5*g - 25 = -i*g. Solve j - 7 = -j + g*f, 0 = j - 5*f - 11 for j. -4 Suppose -m = -85*m + 222 - 54. Solve -65*q + 4*k - 25 = -62*q, -q - m*k = -5 for q. -3 Let t be 2/(8/3) - (-310)/(-40). Let w be (-3)/t + 11/7. Let x be w/(-1) - (36/9 - 6). Solve -3*d + 3*j = -0*j - 24, -5*j - 15 = x for d. 5 Let x be -1 + 3 - (4 + (2 - 9)). Suppose 13901*t - 6 = 13899*t. Solve 0 = 3*b - x*l - 1 + 7, 0 = t*b + 3*l + 6 for b. -2 Suppose -31*c = -3977 + 3946. Solve 2*j + 135 = -5*h + 138, 2*h = -3*j - c for h. 1 Suppose 0 = 3*z - 42 + 6. Suppose 5*b
{ "pile_set_name": "DM Mathematics" }
2 + 2)*(2*n - 3*n + 2 - 3) to u + i*n and give u. -1 Express -6 - 2 - 3*c**2 - c**2 + 6*c**2 as v*c**2 + n*c + h and give h. -8 Rearrange -7*z + 5*z - 6*z - 37*z to the form r*z + b and give r. -45 Rearrange -15*u**3 - u**2 + 5*u**3 - 44*u**3 to w + l*u + b*u**3 + g*u**2 and give g. -1 Rearrange -20*q + 20*q + 15*q**2 to t*q**2 + w*q + i and give t. 15 Rearrange -3*v**4 + 2*v - 3*v**4 - 1 + 5*v**4 + 5*v**4 to k*v + w*v**4 + n + o*v**3 + s*v**2 and give n. -1 Express 23*u - 4*u**2 + 9*u**2 - 43*u - 2 + 17*u + u**4 as p*u**3 + g*u**4 + n*u**2 + m*u + r and give m. -3 Express 84*o - 65*o - 96*o in the form y + q*o and give y. 0 Rearrange (-2*q**3 + 0*q**2 + 0*q**2)*(3*q - 5*q - q + (-q - 1 + 1)*(-3 + 1 - 2)) to the form f*q**3 + x*q**4 + j + m*q + o*q**2 and give x. -2 Rearrange 34*j**3 - 49*j**3 + 39*j**3 - 4*j**2 to the form x*j**2 + z*j**3 + s + b*j and give x. -4 Express 30*g - 2*g**3 + g**4 + 0*g**4 - 8 - 31*g in the form k*g**2 + j*g**4 + y*g**3 + o + w*g and give w. -1 Express -14*g**2 + 16*g**2 - 4*g**3 - 2 + 5*g**3 as c + k*g**3 + m*g**2 + d*g and give m. 2 Rearrange 11*p - 10*p - 7*p to n*p + d and give n. -6 Express -69*q**2 + 582*q - 582*q as s*q**2 + d*q + c and give d. 0 Express s**3 - s**4 + 2 + 3*s**2 - 2*s - s**3 - 2*s**2 in the form y*s**2 + d*s**4 + x*s**3 + o + v*s and give y. 1 Express b**2 + 3*b**2 + 14*b - 3*b**2 + b**2 as x + w*b**2 + t*b and give t. 14 Express 86*i - 1 + i**3 - 5*i**4 + 3*i**2 - 86*i in the form b*i + y*i**3 + a*i**2 + v*i**4 + k and give k. -1 Rearrange -95 - r + 46 + 51 to the form p*r + u and give u. 2 Express -6*z - 1 + 0*z**3 + z**3 - z + z**3 as r*z**3 + c*z**2 + g + k*z and give g. -1 Rearrange 47 + 87*f - 38*f - 47 to p + x*f and give x. 49 Express 13*r - 16*r - 73*r + 0 + 1 as f*r + m and give f. -76 Rearrange -4*i**4 + 3*i - 5*i - 2*i**2 - 1 + 2*i to k*i**2 + g*i**4 + a*i**3 + b*i + s and give k. -2 Rearrange -5*y**4 + 9*y**4 + 10*y**4 + (-2 - 1 + 1)*(0*y**3 + 0*y**3 + 3*y**4) to c*y**3 + d*y**2 + b + s*y + a*y**4 and give a. 8 Rearrange -7*q - 8*q - 7*q - 3*q to d + r*q and give r. -25 Express -16*o**3 + 10*o**3 - 1 + 5*o**3 + 6*o**2 as z*o**3 + n*o**2 + m*o + x and give z. -1 Rearrange (-3*x + x + x)*(x - x + x) - 649*x + 649*x - 3*x**2 - 2*x**2 - x**2 + x**2 + (-1 + 2 + 1)*(3*x**2 + 2*x**2 - 6*x**2) to n*x**2 + b + v*x and give n. -8 Rearrange -2 + 0 + 2 + t**2 + t**3 + 3 to the form z + f*t + q*t**3 + o*t**2 and give o. 1 Express 263 + 2*a**3 - 3*a**3 - 267 + 4*a as p + y*a + x*a**2 + s*a**3 and give p. -4 Express -10 + 0*b - 2*b + 1 + 4*b - 2*b - 3*b - b - 3*b + 3*b + (-4*b + 3*b - b)*(-1 - 5 + 4) + 3*b + 2 - 2 as j*b + t and give j. 3 Rearrange 0 - d - 11*d**3 - 2 + d**4 + 14*d**3 to q*d**3 + x + c*d**2 + r*d + z*d**4 and give r. -1 Rearrange 0*m - 2*m - 4*m**4 - m**4 + 2*m**4 + 2*m**2 to the form q + z*m**2 + s*m**4 + k*m**3 + n*m and give z. 2 Rearrange 74*n - 42*n - 37*n to l*n + z and give l. -5 Rearrange -3*y + 11*y + 2*y - 1 + 2*y to q*y + p and give q. 12 Express -v**4 + 8*v**4 - 5*v - 6*v**4 + 2*v - v**2 in the form n*v**4 + z + f*v**3 + a*v**2 + i*v and give a. -1 Express (-1 + y + 1)*(-3*y - 19*y - 12*y) as o*y**2 + j*y + p and give p. 0 Rearrange -6*x**2 + 11*x**2 - 4*x**2 + 4*x**2 - 2*x to the form v*x**2 + g*x + q and give g. -2 Express (7*i - 120*i - 79*i)*(-1 + 3 - 3)*(1 - 4 + 4) as z + w*i and give z. 0 Rearrange 14 - 6*u - 25 + 13 to t*u + b and give t. -6 Express 31*g**2 + 3*g**2 + 21*g**2 - 11*g**2 as a*g + l*g**2 + z and give l. 44 Rearrange -32 + 21 - 14*a + 11 to the form t*a + z and give z. 0 Rearrange -5*q + 3*q + 0*q - 12*q + 0*q + 0*q + (0*q - 2*q + 0*q)*(4 + 1 - 1) to the form d*q + p and give p. 0 Express 8*f**2 - f**4 + 5*f**2 - 3*f**2 + f - 8*f**2 in the form n*f**4 + z*f**2 + v + c*f + b*f**3 and give v. 0 Rearrange (-1 + 4 + 2*a - 1)*(-11 + 2 + 1 - 3 - 1 + 1 + 0 - 3 + 4 + (-5 + 2 + 1)*(-2 - 1 + 5) + 2 + 0 - 4) to v*a + r and give r. -32 Rearrange 2*o**4 + 8 - 5*o**3 + 4*o**3 - o**2 - 4 to x*o**2 + d + q*o + v*o**3 + p*o**4 and give x. -1 Express 4*p**2 - 599 - 5*p**2 + 13*p + 595 in the form c*p**2 + l + f*p and give c. -1 Rearrange (5 + 2 - 5)*(-2*g - g + g)*(-216 + 182 + 257) to the form s + c*g and give c. -892 Rearrange -72*h + 72*h - 6*h**2 to f*h**2 + n*h + d and give n. 0 Rearrange (-1 + 3 - 1)*(-13*f**2 - 53*f**2 + 6*f**2) to g*f**2 + b*f + s and give g. -60 Rearrange 1 - 8*b + 2*b + 0 + 22*b to the form a*b + v and give a. 16 Express 0*s - 4 + 3 + 2*s + 3 + 7*s**2 as p*s**2 + n + d*s and give d. 2 Express 2 - 11*v**4 + 3*v**2 + 0*v**3 - v**3 + 14*v**4 in the form f*v**3 + t*v + j*v**2 + g*v**4 + y and give g. 3 Express (-d - 5*d + 3*d)*(0*d + 0*d + d) + 3 + 2*d**2 - 1 - 3 as p*d**2 + f*d + l and give p. -1 Rearrange (0*y - 13*y + 2*y)*(-1 - 2*y**2 + 1) to a + u*y + z*y**3 + q*y**2 and give a. 0 Rearrange 4*k**3 + k**2 + 10*k + 4*k - 15*k to z*k**2 + m + h*k**3 + w*k and give h. 4 Express -7*g**4 + 42*g**2 - 2*g**3 + 0*g**4 - 3*g - 44*g**2 + 1 as f*g**2 + q*g + w*g**3 + x + a*g**4 and give w. -2 Express (-2 + 0*k - 2*k + 6*k)*(-60*k**3 - 5*k**3 + 5*k**3) as u*k**4 + l*k + i*k**3 + v + h*k**2 and give l. 0 Rearrange -1 + 2*h - 2 - h**3 - 1 + 3 + h**2 to the form l + m*h**3 + p*h**2 + a*h and give l. -1 Rearrange 13968 - 13968 - 2*m to p + w*m and give w. -2 Express 3*l**2 - 4*l**3 + 2*l**3 + 11*l - 13*l - 2 as j*l**2 + c*l**3 + o + k*l and give j. 3 Rearrange (5*t - 2*t**2 + 3*t**2 - 4*t)*(0*t - t - 15*t) to the form l*t + g*t**2 + x + s*t**3 and give s. -16 Express 2*t**4 + 2*t**4 + 3*t**2 + 3*t**3 + 2*t**4 - 4*t**4 in the form m*t**4 + o + w*t**2 + p*t**3 + r*t and give p. 3 Express (-3*y**2 + 2*y**2 + 0*y**2)*(3*y + 3*y - 7*y)*(4*y + 0*y + 0*y) as a*y**3 + t*y**2 + p + o*y**4 + c*y and give o. 4 Express (-1 + 1 - 2*j)*((-4 + 4 + 2*j**2)*(-2 - j + 2) + (12*j**2 + j**2 + 5*j**2)*(-1 + 1 + 2*j)) as s + x*j**2 + i*j**3 + v*j + t*j**4 and give t. -68 Rearrange -3*z - 4*z + 1 + 25*z + 2 to the form l*z + p and give p. 3 Express 6*s - 19*s**2 - 6*s in the form j*s**2 + x*s + c and give j. -19 Rearrange (2*l**2 + 0*l**2 - 3*l**2)*(-8*l + 2*l - l) + 2*l**3 - 2*l**3 - 2*l**3 to f + i*l**2 + r*l + a*l**3 and give i. 0 Express ((4*g + 0*g - 2*g)*(g + g - g) + (-4 - 2 + 4)*(-g**2 - 2*g**2 + 6*g**2))*(-g + 17*g**2 + g) as y*g**2 + h + m*g**4 + r*g + c*g**3 and give m. -68 Rearrange (2 - 2 + 2*h**3)*(1 + 2 - 2) + (-6*h + 3*h + 4*h)*(-h**2 - 4*h**2 - 3*h**2) to d*h**2 + x + u*h + i*h**3 and give i. -6 Express 2*b - 2*b - 3*b**2 + (2*b + b - 2*b + 1)*(-4*b - b + 2*b) in the form m + v*b**2 + s*b and give s. -3 Express 2*t**2 - t + t + (-t**2 - 3*t**2 + 2*t**2)*(6 + 0 - 1) as y*t + m + s*t**2 and give s. -8 Express 8 + l - l - l**4 - 2*l**3 - 12 in the form q*l**4 + o*l**2 + s*l**3 + t*l + c and give s. -2 Rearrange -1409 + 6*r**3 + 1409 - r**4 + r**2 to the form k + b*r**4 + s*r + t*r**2 + c*r**3 and give c. 6 Rearrange (-2 + 2 - 1)*(0*z + z + 2*z + (-3 + 3 + 2*z)*(-4 - 1 + 4) + 3*z - 4*z + 5*z) + 0 + 2*z + 0 to h*z + j and give h. -3 Rearrange (-3*c + 5*c - 4*c)*(-79*c**2 + 79*c**2 - 36*c**3) to the form k*c**4 + q*c**2 + i*c**3 + p + d*c and give k. 72 Express (4*d - 2*d + 0*d)*(191*d**2 - 92*d**2 + 2 - 78*d**2) in the form p*d**3 + g*d**2 + k*d + y and give y. 0 Rearrange (2 - 4 - 4)*(0 + 0 - 3*l)*(1 + 0 - 3) to the form v*l + y and give v. -36 Rearrange 24*g - 84 + 31*g + 84 to the form u*g + q and give u. 55 Express 2*o**2 + 2*o**2 + 41 - 35 as n + v*o + f*o**2 and give n. 6 Express (-3*y + 4*y + 2*y)*(-80*y**2 + 80*y**2 - 5*y**3) in the form x*y**4 + i*y + f*y**3 + u*y**2 + t and give x. -15 Rearrange 4 + 35*p**3 - 29*p**3 - 3 to s + k*p**3 + f*p**2 + u*p and give s. 1 Express (1 + 24*t - 2 - 23*t)*(1 - 2*t - 1 + (2*t - 3*t + 2*t)*(-1 - 2 + 4)) in the form q + u*t**2 + i*t and give i. 1 Express (3*c - c - 3*c)*((-c + 5*c - 3*c)*(0 - 1 + 0) + 0 + 0 - 18*c) in the form t + n*c + m*c**2 and give m. 19 Rearrange (0 - 2 - 1)*(17*r**2 - 16*r**2 + 32*r**2) to the form f + a*r**2 + m*r and give a. -99 Express -2 + 4*z**2 - z**2 - 18*z**3 - z**2 - 613*z + 614*z as a*z**3 + q*z + s + c*z**2 and give a. -18 Rearrange ((1 + 0 + 0)*(-2*l + 5*l - l) - l - 3*l + 6*l)*(-1 - 3 + 5) to x + p*l and give p. 4 Express (3*w**3 + 2*w**3 + 4 - w**3)*(1 - 6 + 1) in the form z +
{ "pile_set_name": "DM Mathematics" }
- 2*d + 139*d**2 - 232*d**2 - 3*d - 128 wrt d. -694*d - 1 Let v(c) be the first derivative of 693*c**4/4 + 1231*c**3/3 + 1636. Find the third derivative of v(d) wrt d. 4158 Let o(y) be the first derivative of y**6/6 + 73*y**4/4 + y**3 - y**2/2 - 1666*y - 1365. What is the second derivative of o(d) wrt d? 20*d**3 + 438*d + 6 Let n(h) be the third derivative of 1061*h**5/20 - 325*h**3 - 2503*h**2. Differentiate n(l) with respect to l. 6366*l Let m(v) be the first derivative of 0*v + 77/4*v**4 + 0*v**2 + 103 - 86/3*v**3. Find the third derivative of m(t) wrt t. 462 What is the third derivative of 3*y**2 + 180 - 39 - 4273*y**4 + 199 - 31 wrt y? -102552*y Let l(f) = 888*f**4 + 1677*f**2 - 15*f - 15. Let i(d) = d**4 - d**2 + d + 1. Let m(g) = 15*i(g) + l(g). Find the third derivative of m(x) wrt x. 21672*x What is the second derivative of -180*l + l**3 - 233*l - 533*l + 57*l**4 - 2*l**3 + 131*l wrt l? 684*l**2 - 6*l What is the third derivative of -1145*b**2 + 15107*b**3 - 3*b**4 - 2002*b**2 - 826*b**5 - 15107*b**3 wrt b? -49560*b**2 - 72*b Let s = 67 - 61. Let j be (0 - -73) + 1 + (3 - s). Find the second derivative of j - 34 + 19*z**5 - 37 - 20*z wrt z. 380*z**3 Let w(a) be the first derivative of -13 - 3/2*a**3 + 5*a**2 + 0*a - 13/24*a**4. Let g(h) be the second derivative of w(h). Differentiate g(m) wrt m. -13 Let d(o) = o**2 + 3*o - 15. Let s be d(6). Find the first derivative of -7*i + s - 6 - 17*i - 14*i wrt i. -38 Let j(y) = -y**2 - 6*y + 57. Let h be j(5). Let c = 1 + 40. Find the first derivative of -30 + 7*t**h - c + 64 wrt t. 14*t Let g be 1*12/4 - 1131. Let r be g/(-104) + (-2)/(-13). Find the second derivative of -r*k**3 + 14*k**3 - 29*k - 9*k**3 wrt k. -36*k Find the first derivative of -2109*i + 2204*i - 1435 - 5145 - 2618*i - 2107*i wrt i. -4630 Let f be -2*(-2)/2 + (-150)/(-2). Find the third derivative of 1934*m**2 + 6 - f*m**3 + 24 - 1936*m**2 wrt m. -462 Let j(u) = 688*u**2 - 24*u + 6798. Let k(o) = -689*o**2 + 16*o - 6792. Let h(z) = 2*j(z) + 3*k(z). Find the first derivative of h(y) wrt y. -1382*y Find the second derivative of -2*y**2 + 1 + 4 - 523*y - 5*y**3 + 522*y wrt y. -30*y - 4 Let f(q) be the first derivative of -1895*q**4/4 - 117*q - 1414. Differentiate f(t) wrt t. -5685*t**2 Let x(i) be the second derivative of -i**7/21 - 1513*i**4/12 - 277*i**3/2 - 521*i. What is the second derivative of x(n) wrt n? -40*n**3 - 3026 Let b = -3885 - -3890. Let s(m) be the second derivative of -3/20*m**b + 0*m**4 - 19*m + 0*m**3 + 0 - m**2. Differentiate s(p) wrt p. -9*p**2 Let b(t) = -351*t**4 + 8*t**3 - 632*t - 1. Let y(f) = -1756*f**4 + 44*f**3 - 3159*f - 6. Let j(k) = -11*b(k) + 2*y(k). Find the second derivative of j(g) wrt g. 4188*g**2 Let n be 6/4 - (-9)/(-6). Suppose -3*o - 8 = -2*s, -o + 4*s - 2*s - 8 = n. What is the third derivative of 26*l**3 + o + 0 - 4*l**2 wrt l? 156 Let u(q) = -568*q**3 + 490*q**2 + 6*q - 12. Let k(x) = -x**3 - 4*x**2 - x + 2. Let m(p) = 6*k(p) + u(p). Find the third derivative of m(c) wrt c. -3444 Let z = -1731 - -1736. Let l(g) be the second derivative of -11/2*g**2 + 0*g**3 + 0*g**4 + 4*g + 3/20*g**z + 0. What is the first derivative of l(t) wrt t? 9*t**2 Let x(k) = 14*k**2 - 10*k + 697. Let a(h) = 27*h**2 - 18*h + 1405. Let l(t) = 4*a(t) - 7*x(t). Find the first derivative of l(v) wrt v. 20*v - 2 Let d(i) = -2*i + 4. Let g(h) = h - 1. Suppose b - 4 = -6. Let k(p) = -p - 1. Let j(x) = b*g(x) - k(x). Let a(f) = -2*d(f) + 3*j(f). Differentiate a(q) wrt q. 1 Let o(i) = -781*i**2 + 4972*i. Let r(q) = 776*q**2 - 4971*q. Let n(b) = 5*o(b) + 4*r(b). What is the second derivative of n(y) wrt y? -1602 Find the second derivative of 285*q**2 + 750 + 47*q + 746 - 2245 + 754 wrt q. 570 Let a(z) be the first derivative of 5*z**6/6 - 459*z**4/2 - 172*z**2 - 3*z + 8451. What is the second derivative of a(r) wrt r? 100*r**3 - 5508*r Let k be (-17 + 14)/((-12)/44) + -4. Let t(n) be the second derivative of 11/3*n**3 + 0 - k*n**2 - 14*n. What is the derivative of t(z) wrt z? 22 Let c(z) be the first derivative of -104*z**5/5 + z**4/4 + 3*z**2/2 + 5105*z + 1417. What is the derivative of c(g) wrt g? -416*g**3 + 3*g**2 + 3 What is the derivative of 41574*s**4 + 734 - 72210*s**4 + 35072*s**4 - 9578 wrt s? 17744*s**3 Let l(g) be the first derivative of 3*g**4/4 - 2*g**3/3 + 7*g**2/2 + 2326*g - 235. What is the first derivative of l(o) wrt o? 9*o**2 - 4*o + 7 Let u be -4 + (-6 + -4)*-1. Find the first derivative of 7 - 30 - u*l - 17 - l**3 + 0 wrt l. -3*l**2 - 6 Suppose 17*c = 14 + 20. Find the third derivative of 47*p**c + 75*p**2 + 2*p**2 - 116*p**4 wrt p. -2784*p What is the first derivative of 5*g + 64184 - 23034 - 27861 + 2*g**2 + 41*g - 2*g**3 wrt g? -6*g**2 + 4*g + 46 Let n(s) be the second derivative of 0 + 22*s**2 - 26*s + 73/6*s**3. What is the first derivative of n(x) wrt x? 73 Suppose 5*w + 4*r = 280, w - 5*r - 183 = -3*w. What is the second derivative of 31*d**2 - 2892 + w*d + 2892 wrt d? 62 Find the first derivative of -5070 - 4762736*o + 4760246*o + 771 wrt o. -2490 Let r(n) be the first derivative of 13*n**6/2 + 19*n**3/3 - 37*n**2/2 + 4*n - 2469. What is the second derivative of r(h) wrt h? 780*h**3 + 38 Differentiate -2314 - 2683 + 19*v**3 + 145*v**3 - 165*v**3 + 0*v**2 - 4*v**2 + 73*v with respect to v. -3*v**2 - 8*v + 73 Suppose s - 2*t - 127 = 0, 4*t = 4*s - s - 371. Find the second derivative of 217*v - 102*v + 23 - s*v - 222*v**2 - 5 wrt v. -444 Suppose 0 = 2*w + 5*p + 6, 2*p = w + w - 8. What is the second derivative of 40*q**w - 51*q - 36*q + 15*q - 68*q wrt q? 80 Let z = -35 - -50. Suppose 21 = w - m - 3*m, -2*m = -w + z. What is the second derivative of w*c + 20*c**5 + 13*c**5 - 24*c**5 wrt c? 180*c**3 Let r be (-12)/(-2) + (2 - 54/9). What is the second derivative of -99 - 75*p**r - 80 - 3*p + 200 wrt p? -150 Suppose -32 = -3*m + 1. What is the second derivative of -13*h**2 - 39*h + m*h**2 - 2*h**3 + 4 + 43*h wrt h? -12*h - 4 Let n(m) be the second derivative of 0*m**2 + 103/42*m**7 + 37 - 1/30*m**6 + 59/3*m**3 + 0*m**4 + 0*m**5 + m. What is the second derivative of n(u) wrt u? 2060*u**3 - 12*u**2 Find the third derivative of 821*q - 27*q**2 + 26*q**2 - 53*q**3 - 9151*q**4 + 9158*q**4 wrt q. 168*q - 318 Let r(s) = -6561*s**2 - 234*s - 90. Let p(a) = -13122*a**2 - 469*a - 168. Let o(m) = 8*p(m) - 15*r(m). What is the second derivative of o(i) wrt i? -13122 Let y(p) be the third derivative of 3157*p**4/24 - 3521*p**3/6 - 1958*p**2. Find the first derivative of y(j) wrt j. 3157 Let w(g) = -113*g - 199. Let d(b) = b + 4. Let n(j) = -8*j - 23. Let v(l) = -6*d(l) - n(l). Let z(o) = v(o) + w(o). Find the first derivative of z(x) wrt x. -111 Let u(n) = -217*n**3 - 3*n + 146. Let q(j) = 430*j**3 - j**2 + 5*j - 294. Let h(m) = 3*q(m) + 5*u(m). What is the first derivative of h(s) wrt s? 615*s**2 - 6*s Let b(t) = t**3 + t**2 - 3*t. Let l(r) = -328*r**3 + 5*r**2 - 33*r + 7. Let z(u) = -4*b(u) + l(u). What is the second derivative of z(n) wrt n? -1992*n + 2 Let x(m) = -203*m + 145. Let d(a) = 101*a - 72. Let n(l) = -13*d(l) - 6*x(l). Let o(v) = 47*v - 33. Let p(c) = 2*n(c) + 5*o(c). Differentiate p(z) wrt z. 45 Let z(x) be the third derivative of -3*x**6/20 - 4*x**5/15 - 89*x**4/2 + 585*x**2. What is the second derivative of z(n) wrt n? -108*n - 32 Let g(t) be the third derivative of -13*t**2 - 11/20*t**5 - 4/105*t**7 + 0*t**4 + 0 + 0*t**3 + 0*t**6 - 2*t. What is the third derivative of g(h) wrt h? -192*h Let u = -22 - -49. Suppose -r + 5*n = -25, r - 4*r = -3*n - u. What is the third derivative of -3*l**2 - 143*l**5 + 156*l**r + 4*l**2 wrt l? 780*l**2 Let b be -4 - (-1 + -1) - -4. Suppose b*q + f + 1 = 0, 2*q = -2*q - 4*f - 12. Find the second derivative of -16*m - 11*m + 637*m**2 - 613*m**q wrt m. 48 Let a(c) be the third derivative of 5*c**8/42 + c**6/30 - 56*c**5/3 - 16*c**2 - 48*c. What is the third derivative of a(i) wrt i? 2400*i**2 + 24 Let c(r) be the third derivative of -223*r**8/112 + 19*r**5/60 + 5*r**4/8 - 1132*r**2 + 3. Find the third derivative of c(u) wrt u. -40140*u**2 Let h(l) be the first derivative of -18*l**2 + 18 - 19*l**2 - 2*l**2 + 49*l - 109*l. Find the first derivative of h(b) wrt b. -78 Suppose -7*w = -11*w - 572. Let l = -141 - w. Differentiate -67 + 27 + 23 - 37*p - l*p**2 +
{ "pile_set_name": "DM Mathematics" }
lculate the remainder when 28858581 is divided by 244. 213 What is the remainder when 5175591 is divided by 92? 39 What is the remainder when 260869642 is divided by 7927? 7926 What is the remainder when 2198408 is divided by 263? 254 Calculate the remainder when 6197867 is divided by 370. 367 Calculate the remainder when 1470978 is divided by 9897. 6222 Calculate the remainder when 30339190 is divided by 10113062. 4 What is the remainder when 1933855 is divided by 1933644? 211 What is the remainder when 9501671 is divided by 259? 256 What is the remainder when 1068088 is divided by 1271? 448 Calculate the remainder when 3230524 is divided by 646086. 94 What is the remainder when 80104 is divided by 1501? 551 What is the remainder when 95368 is divided by 31562? 682 Calculate the remainder when 7698258 is divided by 61. 58 What is the remainder when 32876313 is divided by 2405? 2368 Calculate the remainder when 18344 is divided by 1875. 1469 What is the remainder when 1050719 is divided by 7725? 119 What is the remainder when 40527514 is divided by 1625? 14 What is the remainder when 16211 is divided by 7529? 1153 Calculate the remainder when 13671834 is divided by 905. 904 What is the remainder when 100307 is divided by 596? 179 Calculate the remainder when 217103 is divided by 3566. 3143 What is the remainder when 15177752 is divided by 875? 2 What is the remainder when 43436 is divided by 42940? 496 Calculate the remainder when 1531973 is divided by 218848. 37 Calculate the remainder when 704591 is divided by 7117. 8 Calculate the remainder when 4688340 is divided by 275782. 46 Calculate the remainder when 23274378 is divided by 14. 8 What is the remainder when 6413 is divided by 1336? 1069 Calculate the remainder when 34720 is divided by 1186. 326 What is the remainder when 2050410 is divided by 48? 42 Calculate the remainder when 35950 is divided by 285. 40 Calculate the remainder when 428818 is divided by 13830. 88 Calculate the remainder when 93987074 is divided by 64774. 0 Calculate the remainder when 10850735 is divided by 1133. 1127 What is the remainder when 212066 is divided by 8581? 6122 Calculate the remainder when 2159928 is divided by 3612. 3564 What is the remainder when 29529465 is divided by 88? 9 Calculate the remainder when 136518419 is divided by 1140. 1139 What is the remainder when 5450007 is divided by 18? 3 Calculate the remainder when 18356 is divided by 6114. 14 Calculate the remainder when 101497 is divided by 3716. 1165 Calculate the remainder when 179598 is divided by 86789. 6020 What is the remainder when 291451 is divided by 2026? 1733 Calculate the remainder when 1025499 is divided by 20928. 27 What is the remainder when 49139 is divided by 664? 3 Calculate the remainder when 2518906 is divided by 281. 22 What is the remainder when 1141326 is divided by 1416? 30 What is the remainder when 808834 is divided by 2235? 1999 Calculate the remainder when 25645824 is divided by 604. 588 What is the remainder when 1301881 is divided by 1301758? 123 Calculate the remainder when 1184182 is divided by 296025. 82 Calculate the remainder when 285743 is divided by 504. 479 What is the remainder when 199498 is divided by 1138? 348 Calculate the remainder when 9944968 is divided by 6. 4 What is the remainder when 14021251 is divided by 4454? 59 Calculate the remainder when 112413 is divided by 2161. 41 Calculate the remainder when 4434414 is divided by 100. 14 What is the remainder when 14889 is divided by 4177? 2358 Calculate the remainder when 586576 is divided by 14663. 56 Calculate the remainder when 22625624 is divided by 57. 44 Calculate the remainder when 228934 is divided by 1187. 1030 Calculate the remainder when 324831 is divided by 361. 292 What is the remainder when 100250683 is divided by 100250671? 12 Calculate the remainder when 98971 is divided by 16355. 841 Calculate the remainder when 5238762 is divided by 1309689. 6 Calculate the remainder when 21631285 is divided by 49. 39 Calculate the remainder when 405249 is divided by 161. 12 What is the remainder when 30090 is divided by 753? 723 What is the remainder when 169725501 is divided by 875? 1 Calculate the remainder when 198483 is divided by 2176. 467 Calculate the remainder when 2643142 is divided by 2643135. 7 What is the remainder when 86831044 is divided by 66? 58 What is the remainder when 219313 is divided by 31052? 1949 What is the remainder when 33937289 is divided by 30? 29 Calculate the remainder when 239457 is divided by 27. 21 Calculate the remainder when 900920 is divided by 52995. 5 What is the remainder when 418194 is divided by 255? 249 Calculate the remainder when 8844854 is divided by 1089. 1085 What is the remainder when 16106120 is divided by 45? 35 Calculate the remainder when 7847691 is divided by 102. 15 Calculate the remainder when 337568 is divided by 83765. 2508 What is the remainder when 11913 is divided by 11451? 462 Calculate the remainder when 16060 is divided by 483. 121 What is the remainder when 6712644 is divided by 4376? 4236 Calculate the remainder when 32570 is divided by 707. 48 What is the remainder when 1527708 is divided by 226? 174 What is the remainder when 2545633 is divided by 1272800? 33 Calculate the remainder when 1238216 is divided by 1935. 1751 What is the remainder when 1098674 is divided by 156946? 52 What is the remainder when 1040763 is divided by 14? 3 Calculate the remainder when 19943955 is divided by 123. 120 Calculate the remainder when 2489265 is divided by 497777. 380 Calculate the remainder when 7213869 is divided by 424344. 21 Calculate the remainder when 9931561 is divided by 261. 250 What is the remainder when 474007 is divided by 156890? 3337 Calculate the remainder when 130674 is divided by 174. 0 Calculate the remainder when 3266976 is divided by 9665. 206 What is the remainder when 1940392 is divided by 691? 64 What is the remainder when 3629714 is divided by 390? 374 Calculate the remainder when 5749528 is divided by 821361. 1 Calculate the remainder when 77869 is divided by 14645. 4644 What is the remainder when 28346 is divided by 1887? 41 Calculate the remainder when 43984233 is divided by 389241. 0 Calculate the remainder when 73194609 is divided by 10. 9 What is the remainder when 124100 is divided by 7202? 1666 Calculate the remainder when 1730671 is divided by 216332. 15 What is the remainder when 17138347 is divided by 94? 79 Calculate the remainder when 1314281 is divided by 2148. 1853 Calculate the remainder when 468340 is divided by 10761. 5617 What is the remainder when 1075938 is divided by 3687? 3021 What is the remainder when 174748 is divided by 1822? 1658 Calculate the remainder when 540926 is divided by 28469. 15 What is the remainder when 15022637 is divided by 898? 893 Calculate the remainder when 9977752 is divided by 2127. 2122 Calculate the remainder when 53992991 is divided by 16. 15 Calculate the remainder when 355338 is divided by 2928. 1050 Calculate the remainder when 36467508 is divided by 12987. 12 What is the remainder when 39992682 is divided by 5713237? 23 What is the remainder when 25977089 is divided by 2306? 2305 What is the remainder when 865491 is divided by 6633? 3201 What is the remainder when 65314 is divided by 3558? 1270 What is the remainder when 762944212 is divided by 20? 12 What is the remainder when 85243 is divided by 5298? 475 What is the remainder when 419017 is divided by 174? 25 What is the remainder when 2401139 is divided by 800378? 5 Calculate the remainder when 44642 is divided by 445. 142 Calculate the remainder when 5664556 is divided by 88. 84 What is the remainder when 2199968 is divided by 4365? 8 What is the remainder when 1184047 is divided by 2673? 2581 What is the remainder when 117225228 is divided by 29306307? 0 What is the remainder when 97840559 is divided by 80? 79 Calculate the remainder when 2596372 is divided by 92723. 128 What is the remainder when 16972 is divided by 11? 10 Calculate the remainder when 1272312 is divided by 1345. 1287 What is the remainder when 1610313 is divided by 131? 61 What is the remainder when 18254677 is divided by 79368? 37 What is the remainder when 9705140 is divided by 27? 17 What
{ "pile_set_name": "DM Mathematics" }
/4)))**24/(k*k**6)**(-21))**(15/8) assuming k is positive. k**(2835/8) Simplify ((v**(-1/2))**(3/7)/((v/(v/v**3))/v**(-6)))/(v/(v/(v*v**(-1/2)/v))*v/v**1*v/(v*(v/(((v**(-1)*v)/v)/v))/v*v)*v**(-1/4)) assuming v is positive. v**(-153/28) Simplify (t*(t/(t**(-11)*t))/t*t*t*t/t**5*t*t*t**(-16)*t*t*t**20)**40 assuming t is positive. t**680 Simplify ((t*t/(t/(t**(1/3)/t))*t)/t**6*((t/(t/(t*t/(t*t**(-1)*t))))/t)**(-27/7))/(t**(2/13)/t**2*((t/t**(2/13))/t)/t**(5/4)) assuming t is positive. t**(-17/12) Simplify (p/p**(-2))**(1/45)/((p/p**(-4))/(p**(-1/4)/p))*(p**1*(p*p**10)/p*p)**42 assuming p is positive. p**(29869/60) Simplify ((((t**(2/33)/t)/t)/t**(2/5))/((t/t**(-4/7)*t)/t**(-3)))/(t**(-2/21)*t/t**(-3)*(t/(t/t**(-3/8)))/t*t**(2/3)) assuming t is positive. t**(-102631/9240) Simplify (((j*j**(-1)*j)/j)**(-2/29))**23/((((j*j**(-4/7))/j)/j**(-2/5))/(j*j/j**(-2/5)*j)**(-1/18)) assuming j is positive. j**(-11/630) Simplify ((p/p**(6/5))/p*p*p**(-4/3)*p*p*p**13*p*p**(-3/5))**(-42) assuming p is positive. p**(-2912/5) Simplify (t/((t*t**(-1)*t)/t))**(-2/79)*(t**1)**(-32/7)*(((t**(-1)*t)/t)/t**(-1/6))/((t/((((t*t**(2/19))/t)/t)/t))/(t/t**(-6))) assuming t is positive. t**(-83519/63042) Simplify (a/(a/a**2)*a)**6*a**5/(a/a**(-3/5))*a**(-5)/a**4*a**5/((a**(-8)*a*a)/a) assuming a is positive. a**(122/5) Simplify ((f*f**(-2)/f)**(-1/38))**(-26)/(((f*f*f**(-1/6)*f*f*f)/(f*f**(-2/9)))/(f/(f*f**(-2/9)*f))**(4/11)) assuming f is positive. f**(-21469/3762) Simplify ((o**(-3/4)*o)/o*o*o/o**9*o**(-16)/(o/o**(-1/7)*o))**(-17) assuming o is positive. o**(12325/28) Simplify ((s**24/(s*s*s*s**(7/4)/s))/((s/((s/(s/s**10))/s))/(s**(-1/2)*s)))**3 assuming s is positive. s**(345/4) Simplify (((s**3*s*s*s/(s/(s**(-6)*s)))**(3/5))**(-16))**(-44) assuming s is positive. 1 Simplify ((c/((c/(((c*c/(c/c**(7/2))*c*c*c)/c)/c*c*c)*c)/c)*c)/(c**22*c))/(c*c**(-15)*c**(2/35)) assuming c is positive. c**(-39/70) Simplify ((i**1)**(-25)*i**(-1/6)/i**(2/3))/(i/(i/(i/i**(3/4))*i)*i**(-5)*i**(-1/8)/(i*i/i**(2/13)*i*i)) assuming i is positive. i**(-5027/312) Simplify ((l*l*l**2*l*l)/l**(4/7))**(10/11)/((l**(3/5)/l**(-9))/((l/(l**(-1/9)/l)*l*l*l)/(l*l/l**(1/10)*l))) assuming l is positive. l**(-3401/1386) Simplify ((q*q/((q/q**(-2/3))/q))**(-22))**(-20)/((q/q**(1/4))**(-5/6))**(-4/19) assuming q is positive. q**(66865/114) Simplify (b**(1/6)*b**(-1/5)*b**(-3/5)/(b*b*((b*b*b/(((b**3/b*b*b)/b)/b))/b)/b*b))/((b*b*b/(b**1/b)*b)**(16/7))**(-48) assuming b is positive. b**(91607/210) Simplify (g**6*g*g/g**(-1))**(8/11)*(g/g**(1/4)*g)**(23/3)/(g**7/(g*g**2)) assuming g is positive. g**(2107/132) Simplify ((((z**7/z)/z)/z)/(z*z**(-8)))/(z**2*z)**25*z**(-1/3)*z**(-4)*(z*z**(-2/9)/z*z)**(8/3) assuming z is positive. z**(-1789/27) Simplify ((x*x*x**(1/3))/x*x)**19*(x*x**5)/((x/x**(-1/2))/x*x)*((x*(x/x**(2/7))/x)**50)**(-1/33) assuming x is positive. x**(22061/462) Simplify (w**(8/13)*w**20*w*w**(-3/5)*w**22)**(-7/10) assuming w is positive. w**(-9786/325) Simplify (c*c/(c*c**(-2/5))*c*c**(4/5))/(c**(2/5)*c/c**(2/7)*c)*c**(-2/9)/((c**(-4/7)*c)/c*c*c)*(c*c**4)/(c/c**(-2/19)*c) assuming c is positive. c**(13943/5985) Simplify (d*d*d/(d**(-33)/d))**8/(d**(-14)/(d/((d/d**(-3/2)*d)/d))) assuming d is positive. d**(617/2) Simplify ((t*t**(2/5)*t)/t**(-10/3))**33/((t**(2/5)*t)**(-45)*(t*t**0)**(-1/3)) assuming t is positive. t**(3788/15) Simplify (r/r**1)**(12/11)*(r**1)**(-35)*r*r**(-2/23)*r*r**(-1/7)*r*r**(-3/2)/r*r*r**(-3)/r assuming r is positive. r**(-12149/322) Simplify (r**(-6)/(r*r**(3/4)/r))**(6/17)/((r*r**(-3))/r**(-1/6)*(r/(((r/((r*r*r/(r/r**(-2/3)))/r))/r)/r*r))**(-1/16)) assuming r is positive. r**(-95/204) Simplify (l**8*l**8)**(4/7)*(l/(l/((l*l**(8/7)*l*l)/l))*(l**(1/5)*l)/l)**(1/6) assuming l is positive. l**(97/10) Simplify ((p/((((p*(p**(-15/2)*p)/p)/p)/p)/p)*p**22)/(p/(p**(6/7)*p)*p**(-11)*p))**(2/47) assuming p is positive. p**(607/329) Simplify (q/(q/(q*q**(2/9)/q)))**(1/6)/(q*(q/(q*q/(((q/(q/q**1))/q*q)/q)))/q)**(-35)*(q**3/q)/(((q/(q*q**5))/q)/q*q*q)*(q*q**9*q)/q**7 assuming q is positive. q**(-647/27) Simplify (((k**15/k)/k**(-10/9))/(k**(1/23)/k*k**4))**(-24) assuming k is positive. k**(-19984/69) Simplify (((t**(1/4))**(3/23)/(t**(-1/8)*(t*t/((t**(-7)/t)/t))/t))**43)**(13/6) assuming t is positive. t**(-1012349/1104) Simplify (n*n*n*n**(1/4)*n*((n**(-48)*n)/n)/n)/(n**(2/3)*n*(n*n*n**(-42)/n)/n*n) assuming n is positive. n**(-65/12) Simplify ((d**(2/5))**8)**(-8)*((d*(d*d**(2/9))/d*d)**(-1/39))**17 assuming d is positive. d**(-46628/1755) Simplify ((s*s**(-2/3)/s*s*s)/s)**(-4/25)/(s**6*s/(s*(s/(s**(-4/9)*s))/s)*s)*((s*s**0*s)/(s/(s**5*s)))**(-2/187) assuming s is positive. s**(-323294/42075) Simplify ((z/(z**(-1/4)*z*z*z))**(4/3)/(z**(-3)*z*z**(-1)*z))/((z**(-9/2)*z)/z*z*z**(-8))**(4/3) assuming z is positive. z**15 Simplify ((o/(o**(1/4)/o))/o*o**(-4))**(-2/7)*(o**(-1))**(-2/5)*o**(-2/5)*o*o/o**3*o assuming o is positive. o**(13/14) Simplify ((n**(-4))**(-5))**45*(n**(2/3)*n)**(-27)/(n/n**(2/7))**(-16) assuming n is positive. n**(6065/7) Simplify ((m/(m*m*m*m**(1/7)*m*m))/((m/((m*m**(5/2))/m*m)*m)/m)*m**15/m**(5/6))**(1/20) assuming m is positive. m**(263/420) Simplify (z/(z**0*z*z)*z**(-3/4)*(z**(-2/5))**(-13))/(((z/(z/z**(-4)))/z**(1/4))/(z*z*z*z*(z**0/z*z)/z)**(-1/35)) assuming z is positive. z**(533/70) Simplify (t/(t*t/(t*t/t**(-1/3)))*(t/(t/((t/(t**10/t*t))/t)))/t)**(-2/13)*((t**(3/2)*t*t)**(-35))**(-20) assuming t is positive. t**(95608/39) Simplify ((y**(-2/3)/y)/(y/(y/(((y*y**34)/y)/y))*y))/(y/(y*y/(y**(-3)*y)))**(-7) assuming y is positive. y**(-170/3) Simplify ((r*(r*r**(-1/4)*r)/r*r*r)**(6/19)*r**(-1/12)/((r*r/r**(-15))/r))**(-18) assuming r is positive. r**(10191/38) Simplify (((o*((o*(o*o**(-44))/o*o*o)/o)/o*o)/(o**(9/2)*o))/(o/((o*(o**(10/17)/o)/o)/o))**(-27))**(4/19) assuming o is positive. o**(1266/323) Simplify (((p*p/p**(-1/5))**(-5/9))**(4/19))**(-41) assuming p is positive. p**(1804/171) Simplify (n*n/(n*n**(-2/47))*n)/n*n*n**(-1)/n*(n**(2/41))**(9/2) assuming n is positive. n**(505/1927) Simplify (i**(-2/3)*i**(-3/11)*i*i/(i/i**(-6/5))*i*(i/i**(-2/5)*i)/i*i)/(((i/(i*i**(-7)/i)*i)/i**(2/3))/(i*i*i**9*i*i**(-7))) assuming i is positive. i**(-59/55) Simplify ((y**4*y/(y**25/y))/((y/(y/y**(-4/5))*y)/(y/(y*y*y**(-4/7)))))**50 assuming y is positive. y**(-6870/7) Simplify ((l/(l/(l/(l**(-2)*l)*l))*l)/(l/(l*l/(l**(-26)*l)*l*l)))/(l**38*l*l*(((l*l/((l*l**(-28))/l)*l)/l*l)/l*l)/l) assuming l is positive. l**(-38) Simplify (((((j*j**9)/j)/j)/j*j/j**5)/(j*(j*j/j**(-4))/j*j*j)**(-4/3))**4 assuming j is positive. j**(164/3) Simplify ((o**(-3/10)/o**(-44))/(o**(-12))**(11/7))**(-18/7) assuming o is positive. o**(-39411/245) Simplify ((m**(-16)/(m*m**(1/21)))/(m**(-4/3)*m)**(-9/2))**4 assuming m is positive. m**(-1558/21) Simplify ((m*m**4/m)/(m**(1/2)*m))/(m**(2/7)*m*m**(2/11)*m)*(m**(-2)*m*m*m*m/((m/(m*m**5))/m))**(1/22) assuming m is positive. m**(61/154) Simplify (q*q**(2/5)*q)**19/(q*q**1)**(-1)*((q**(-2/7))**(2/9))**(-18) assuming q is positive. q**(1706/35) Simplify (s**(-1/4)*s**(-6/5)*s**(-8/5)/(s/(s/(s**(-25)/s))))**(-15) assuming s is positive. s**(-1377/4) Simplify (v**(-8/3)/v*v**(-1/6))**(-30)/((v/((v/v**(-11))/v))/((v/v**(-1))/v))**(-11) assuming v is positive. v**(-6) Simplify ((((i/(((i/((i/i**(-11)*i)/i))/i*i)/i))/i*i*(i/(i*(i**2/i*i)/i))/i)**(-36))**(-14))**(23/3) assuming i is positive. i**42504 Simplify ((m/m**(-2/7))**(-17))**(2/85)/(m**(-3/4)*m**(-7)*m*(m*m**0)/(m*m**(-4)*m)) assuming m is positive. m**(453/140) Simplify ((v**4*v)/(v*v*v**2*v*v))**(-1/4)/((v*v**(-3)*v*v)/v**(-3/2))**27 assuming v is positive. v**(-161/4) Simplify r**(-2/5)/(r/r**(-5/4))*(r/(r**(-1)/r))**(-3/7)*(r**(2/3))**(-9)/(r**(-3)/(r*r**(4/7))) assuming r is positive. r**(-751/140) Simplify (d/(d**(-1)*d*d))/d**(4/23)*(d/d**(-2/15))**(3/7) assuming d is positive. d**(251/805) Simplify d**(12/11)*d*d*d**46*(d/(d/(((d/d**(8/13))/d)/d*d)*d))**11 assuming d is positive. d**(4479/143) Simplify ((r/(r**(1/4)*r)*r)/r)**21/((r*r*r**0)/(r/r**(-7)))*(r*r**(-6)*r**7)**(2/69) assuming r is positive. r**(223/276) Simplify ((l**(-7/3))**(-41)/(l**(-5/7)/l*l/(l/(l*l**(-5/4)/l))))**(1/17) assuming l is positive. l**(8285/1428) Simplify (((t**(2/3)*t**7)/(t**1*t)**(1/4))**(2/7))**28 assuming t is p
{ "pile_set_name": "DM Mathematics" }
*v**3/3 + 2*v**2 + 8*v + 20. Factor d(i). 2*(i - 359)*(i + 1) Let q = -13 - -48. Suppose -76 = -4*l - 4*h, -5*h - 33 = -0*l - 3*l. Factor -23 + q - l*y + 3*y**2 + 4*y. 3*(y - 2)**2 Let l(o) be the first derivative of o**5/40 + 5*o**4/32 - o**3/2 - 9*o**2/4 + 1918. Solve l(y) = 0 for y. -6, -2, 0, 3 Let s(q) be the first derivative of 18*q**2 + 3/2*q**4 + 38 - 3/25*q**5 - 108/5*q - 37/5*q**3. Factor s(h). -3*(h - 3)**2*(h - 2)**2/5 Let z = -12103 + 36313/3. Let i = -464/3 + 156. Factor 2/3*n - 2/3*n**3 + z*n**2 - i. -2*(n - 2)*(n - 1)*(n + 1)/3 Let a be (2 + 6)*(-224)/(-448). Let q(i) be the first derivative of -1/12*i**3 + 3/8*i - 1/40*i**5 - 28 + 1/8*i**a - 1/4*i**2. Factor q(w). -(w - 3)*(w - 1)**2*(w + 1)/8 Find z such that -23*z - 3*z**3 - 106*z**2 + z**3 + 82*z**2 + z = 0. -11, -1, 0 Determine a so that 5/4 + 43/6*a**2 - 9/2*a**3 + 11/12*a**4 + 1/12*a**5 - 59/12*a = 0. -15, 1 Let z = 4 - -12. Suppose -3*w = -4*o - z, -3*w = 2*w - o - 21. Let -9 - 3*l**w + 6*l**3 - 3*l**5 + 20*l**2 - 2*l**2 - 3*l - 7*l**4 + l**4 = 0. Calculate l. -3, -1, 1 Let i(r) be the third derivative of r**7/210 - 7*r**6/60 - 8*r**5/15 + 9*r**2 + 3*r. Factor i(j). j**2*(j - 16)*(j + 2) Let r(k) be the second derivative of -k**7/2520 + k**6/540 - k**5/360 + 61*k**3/6 + 3*k + 15. Let j(z) be the second derivative of r(z). Factor j(v). -v*(v - 1)**2/3 Let y(k) = k**2 - 4*k. Let v = 13 + -9. Let n(g) = -g**2 + 3*g + 1. Let l(i) = v*n(i) + 3*y(i). Let l(h) = 0. What is h? -2, 2 Factor 21/4*x**3 + 0 + 7/2*x**2 + x**4 - 6*x. x*(x + 2)*(x + 4)*(4*x - 3)/4 Let c(g) be the first derivative of 3888/5*g - 176 + 108/5*g**2 + 1/5*g**3. Factor c(u). 3*(u + 36)**2/5 Let n(z) = -35*z**3 - 6340*z**2 + 35*z + 6300. Let r(q) = -5*q**3 - 906*q**2 + 5*q + 900. Let b(t) = 3*n(t) - 20*r(t). Factor b(h). -5*(h - 1)*(h + 1)*(h + 180) Let r be (-48)/(-112) + 0/4. Let d(a) be the first derivative of -9/7*a + r*a**3 - 17 + 3/28*a**4 - 3/14*a**2. Suppose d(s) = 0. What is s? -3, -1, 1 Let -151/5*h**3 - 1242/5*h**2 + 704*h - 4/5*h**4 - 160 = 0. What is h? -20, 1/4, 2 Factor -3536/7*r**2 + 5408/7*r + 0 - 68/7*r**4 + 786/7*r**3 + 2/7*r**5. 2*r*(r - 13)**2*(r - 4)**2/7 Let j(a) be the second derivative of a**6/10 - 93*a**5/2 + 6159*a**4 - 47277*a**3 + 210681*a**2/2 + 2779*a. Suppose j(l) = 0. Calculate l. 1, 3, 153 Factor -325 + 631*g - 5*g**2 - 339*g - 382*g. -5*(g + 5)*(g + 13) Let z = 65 + 28. Let w = z - 90. Factor 5*j**w + 0*j**2 - 15*j**2 + 81 - 61. 5*(j - 2)**2*(j + 1) Let j(t) be the second derivative of -2/21*t**3 + 0*t**2 + 1/35*t**6 + 1/147*t**7 - 1/14*t**4 - 6*t - 7 + 1/70*t**5. Find a, given that j(a) = 0. -2, -1, 0, 1 Let s(v) = -6 + 4 + 12 - v**3 + 15. Let q be s(0). Let -q*k + 312 - 4*k**5 + 25*k**4 + 50*k**2 - 50*k**3 - k**5 - 307 = 0. What is k? 1 Find l such that 776/21*l + 448/3 - 2/21*l**2 = 0. -4, 392 Let l(q) be the first derivative of 33/5*q**5 + 0*q + 0*q**2 + 3*q**3 - 21/2*q**4 - 118. Determine b so that l(b) = 0. 0, 3/11, 1 Suppose 56 = 3*p - 2*s + 3*s, 2*s = 5*p - 108. Suppose -d + p = 9*d. Factor -5 + d*a**3 + 5 - 2*a. 2*a*(a - 1)*(a + 1) Let r(p) be the first derivative of -2*p**6/3 + 92*p**5/5 + 174*p**4 + 722. Let r(i) = 0. What is i? -6, 0, 29 What is f in -52748*f**4 - 16*f**2 + 52934*f**4 - 512*f**2 + 160*f - 8*f**5 - 494*f**3 = 0? -1, 0, 1/4, 4, 20 Factor 77*a**3 + 27*a**2 - 79*a**3 - 53*a**2. -2*a**2*(a + 13) Let d = 825 - 816. Let a be (-27)/(-72) - d/24. Let 1/6*z**5 + 1/12*z - 5/12*z**2 + 3/4*z**3 + a - 7/12*z**4 = 0. What is z? 0, 1/2, 1 Let u(i) be the first derivative of -1/2*i**2 + 1/24*i**3 - 21 + 2*i. Factor u(y). (y - 4)**2/8 Suppose 5*k = -k + 12. Let f(y) = 6*y**2 - 13*y - 13. Let g(r) = 5*r - 1 - 2*r - 4*r. Let x(a) = k*f(a) - 10*g(a). Factor x(j). 4*(j - 2)*(3*j + 2) Let s(l) be the second derivative of -5*l**7/42 - l**6/2 + 7*l**5/4 + 55*l**4/12 - 5*l**3 - 20*l**2 - 605*l. Determine i, given that s(i) = 0. -4, -1, 1, 2 Let p(u) be the second derivative of 7*u**6/50 - 361*u**5/50 + 87*u**4/20 + 62*u**3/5 + 34*u**2/5 + 46*u + 4. Find h such that p(h) = 0. -1/3, -2/7, 1, 34 Let z(q) = 3*q**2 - 25*q - 47. Let l(d) be the second derivative of -5*d**4/12 + 25*d**3/3 + 95*d**2/2 + 94*d. Let m(y) = -3*l(y) - 7*z(y). Solve m(f) = 0. -4/3, 11/2 Let s = -3 - -6. Suppose s*k - 6 = -f, -10*f = -6*f. Factor -q - 1/2*q**3 - 3/2*q**k + 0. -q*(q + 1)*(q + 2)/2 Let m be 6*(-2)/78*(-3 - -2). Find r, given that m*r**4 - 12/13*r**3 - 8/13*r + 0 + 18/13*r**2 = 0. 0, 1, 4 Let o(d) be the third derivative of -114*d + 1/196*d**8 + 9/98*d**7 + 6/35*d**5 + 107/280*d**6 - d**2 + 0*d**3 + 0*d**4 + 0. Suppose o(b) = 0. What is b? -8, -3, -1/4, 0 Let d = -1/694554 - -1389121/9029202. Let w = 5 + -2. What is u in -1250/13 - d*u**4 - 300/13*u**2 + 1000/13*u + 40/13*u**w = 0? 5 Let p(a) be the third derivative of -1/135*a**5 - 512/27*a**3 + 0 + 8*a + 16/27*a**4 + a**2. Solve p(g) = 0. 16 Factor 3496/3*g - 292*g**2 + 32/3. -4*(g - 4)*(219*g + 2)/3 Let k(y) be the first derivative of y**5 + 55*y**4/4 - 80*y**3/3 - 110*y**2 + 240*y - 3727. Solve k(m) = 0. -12, -2, 1, 2 Determine b so that 4544*b**2 - 3469*b**2 - b**4 - 539*b**3 - 537*b + 2*b**4 = 0. 0, 1, 537 Let t(i) = -i + 18. Let v be t(20). Let d be -3 + 2*(-6)/v. Let 23*m**3 + 15*m**3 - 30*m**2 - 11*m**d + 18*m**3 + 5*m = 0. What is m? 0, 1/3 Let w(d) be the first derivative of -2*d**3/15 + 21*d**2/5 + 324*d/5 + 288. Solve w(n) = 0. -6, 27 Let d be 2507/(-115) + 20 - 91/(-35). Factor 19/5*y**2 - 4/5 - d*y + 3/5*y**4 - 14/5*y**3. (y - 2)**2*(y - 1)*(3*y + 1)/5 Let g(i) be the first derivative of 2*i**3/27 - 110*i**2/9 + 242*i - 14291. Solve g(h) = 0 for h. 11, 99 Suppose 16*u - 40*u = 0. Let l(t) be the third derivative of 1/10*t**6 + 0*t - 1/3*t**4 + 1/15*t**5 + 0*t**3 + u + 5*t**2. Factor l(k). 4*k*(k + 1)*(3*k - 2) Let t be ((-312)/1170 - 2/6)/(18/(-40)). Factor 2/3*o**3 + t*o**2 - 16/3*o + 0. 2*o*(o - 2)*(o + 4)/3 Let 0 + 9*i**4 + 0*i + 6*i**2 + 27/2*i**3 + 3/2*i**5 = 0. Calculate i. -4, -1, 0 Let j = 63539 + -63537. Factor -3*g**j + 99/5*g + 42/5. -3*(g - 7)*(5*g + 2)/5 Let k = 4/447 - -7319/31290. Let d = k - 1/10. Factor 0 + 1/7*z - d*z**3 + 0*z**2. -z*(z - 1)*(z + 1)/7 Let 140*f - 5*f**3 - 50*f - 450 + 50*f**2 - 45*f = 0. Calculate f. -3, 3, 10 Let q(v) = 39*v**3 - 31*v**2 - 15*v + 31. Let b(i) = 7*i**3 - 6*i**2 - 3*i + 6. Let x(g) = 11*b(g) - 2*q(g). Let f be x(-2). Factor -2/9*k**f + 10/9 - 8/9*k. -2*(k - 1)*(k + 5)/9 Let t(h) be the first derivative of h**5/12 - 85*h**4/12 + 1445*h**3/6 + 19*h**2/2 - 4. Let c(r) be the second derivative of t(r). Solve c(j) = 0 for j. 17 Let c(g) be the second derivative of g**6/240 - g**5/40 - g**4/48 + g**3/4 - 22*g**2 + 2*g + 4. Let o(w) be the first derivative of c(w). Factor o(i). (i - 3)*(i - 1)*(i + 1)/2 Let d(n) be the third derivative of n**6/420 - 3*n**5/35 - n**4 - 88*n**3/21 + n**2 + 25. Find m such that d(m) = 0. -2, 22 Let h = -173717/3 + 58631. Let j = 728 - h. Let -j*w**2 - 2/3 + 7/3*w + w**3 = 0. Calculate w. 2/3, 1 Suppose 0 = -y + s, -5*y - 3*s + 15 = -9. Suppose 4*j + y = 5*v, -2*v = 2*v - 12. Solve 2*n**j + 0 - 2*n**2 - 4/7*n**4 + 4/7*n = 0. 0, 1/2, 1, 2 Let c(v) be the second derivative of 24*v**3 - 17*v + 864*v**2 + 1/4*v**4 + 0. Factor c(n). 3*(n + 24)**2 Let o be ((-27)/(-18) - 2/4)*9. Suppose -3*s + 6*s + 5*m + o = 0, 4*s = 3*m + 17. Factor 1/7*a + 0 + 2/7*a**s. a*(2*a + 1)/7 Let f(s) = -3*s**3 - 2*s**2 - 2*s - 1. Let a(h) = 2*h**4 - 19*h**3 + 50*h**2 + 90*h - 223. Let x(b) = a(b) + f(b). Find i such that x(i) = 0. -2, 2, 4, 7 Let m = 294 + -292. Factor -78*o**2 + 4228*o + 4*o**3 - 3876*o - 576 + 10*o**m. 4*(o - 9)*(o - 4)**2 Suppose 46*r + 18*r = 175 - 47. Let h(f) be the third derivative of 0 - 1/300*f**6 - 4/15*f**3 + 0*f - 3/20*f**4 - 1/25*f**5 + 6*f**r. Factor h(n). -2*(n + 1)**2*(n + 4)/5 Let l(p) be the second derivative of -3*p**6/5 - 7*p**5/2 + 2*p**4 + 32*p**3/3 + 48*p + 12. Let l(s) = 0. Calculate s. -4, -8/9, 0, 1 Let x be ((-10)/(-8))/((-340)/(-544)). Let -1016*k - 4*k**3 - 366*k + 90*k + 128*k**2 - 1444 + 37*k**2 - 17*k**x = 0. Calculate k. -1, 19 Let f(w) be the third derivative of -2*w**3 + 3/20*w**5 + 0*w**4 - 1/40*w**6 + 0 + 0*w - 71*w**2. Factor f(a). -3*(a - 2)**2*(a + 1) Let 24025/4 + 1/4*d**2 + 155/2*d = 0. What is d? -155 Suppose 0 = -3
{ "pile_set_name": "DM Mathematics" }
+ 3*i. Let v(r) = 13*r - 8. What is j*v(b) - 9*q(b)? -b + 2 Let j(r) = -2*r**3 - 6*r**2 + 6*r - 1. Let y(f) = -f**2 + f. Let p(x) = -17*x + 84. Let h be p(5). Calculate h*j(q) + 6*y(q). 2*q**3 + 1 Let a(d) = -9*d - 18. Let o(i) = -4*i - 9. Give -3*a(q) + 7*o(q). -q - 9 Let p(m) = 5*m**2 + 8*m - 7. Let n(b) = 6*b**2 + 7*b - 9. Calculate -4*n(d) + 5*p(d). d**2 + 12*d + 1 Let p(a) = 865 - 1736 + 871 + a. Let o(q) = -3*q - 1. Determine -o(r) - 6*p(r). -3*r + 1 Let l(k) = -4*k + 4. Let z = -781 + 783. Let y(d) = -2*d + 2. Give z*l(u) - 5*y(u). 2*u - 2 Let t = -403 - -409. Let s(h) = -h + 12 + 0*h - 2*h. Let n be s(t). Let d(g) = 2*g**2 - 4*g - 1. Let j(b) = 2*b**2 - 3*b - 1. Determine n*j(q) + 5*d(q). -2*q**2 - 2*q + 1 Let a(i) = 6*i**2 + 2*i - 8. Let m(k) = -6*k**2 - 2*k + 9. Give -7*a(d) - 6*m(d). -6*d**2 - 2*d + 2 Let n(b) = -4*b + 253. Let v(m) = 17*m - 1012. Determine -9*n(d) - 2*v(d). 2*d - 253 Let f(t) = -3*t - 18. Let v(y) = 5 - 26 + 2 + 8 + 12. Give -f(z) - 18*v(z). 3*z Let d(j) = -j**3 + 23*j**2 + 52*j - 52. Let u be d(25). Let c(q) = q + 3. Let s(p) be the second derivative of p**3/6 + p**2/2 - 4*p. Calculate u*c(r) + 4*s(r). 2*r - 2 Let n(y) = y**3 + y**2 - 1. Let t(a) be the first derivative of -5*a**4/4 - 2*a**3 + a**2 + 3*a + 2057. Let k = 1 - 0. Give k*t(q) + 3*n(q). -2*q**3 - 3*q**2 + 2*q Let s(r) = -r - 4. Let c(v) = -4*v + 2*v - 2*v - 9 + 2*v. Let o(l) = 4*c(l) - 9*s(l). Let p(y) = -4*y + 1. What is 5*o(f) + p(f)? f + 1 Let k(g) = 3*g**3 - 2*g**2. Let f(x) = -16*x**2 - 19*x**2 + 34*x**2. What is 6*f(h) - 3*k(h)? -9*h**3 Suppose -33*h + 12*h = -63. Let w = 1 - 1. Let v(f) = w - 4*f - 7*f**3 + 0 - h - 1. Let j(l) = -6*l**3 - 3*l - 3. Give 4*j(a) - 3*v(a). -3*a**3 Let s(b) = 2*b + 10 - 4 - 7. Let k(d) be the second derivative of -d**3 + 2*d**2 + 19*d. What is 3*k(r) + 10*s(r)? 2*r + 2 Let s(p) = -39*p**2 - 7*p - 2. Let j(g) = g. What is 5*j(d) + s(d)? -39*d**2 - 2*d - 2 Let c = 64 - 66. Let r(g) = -5*g**3 - 16*g**2 + 11*g + 21. Let h(q) = q**3 + 3*q**2 - 2*q - 4. Give c*r(x) - 11*h(x). -x**3 - x**2 + 2 Let o(c) = -c - 3. Let x be o(0). Let w(h) = -5*h - 26*h**2 - 9*h**2 + 2 + 34*h**2. Let m(a) = -2*a**2 - 14*a + 6. Give x*m(n) + 8*w(n). -2*n**2 + 2*n - 2 Suppose -59*p + 3 = -62*p. Let c(i) = -i + 1. Let m = 8 - 2. Let k(x) = -4*x + 21. Let y(o) = 4*o - 24. Let j(u) = 6*k(u) + 5*y(u). What is m*c(z) + p*j(z)? -2*z Let f(p) be the third derivative of -p**5/12 - 7*p**4/24 + 2*p**3/3 - 2*p**2 + 179*p. Let c(u) = -u**2 - u + 1. Let l be (2/10 - 1)*5. Give l*c(i) + f(i). -i**2 - 3*i Let o(t) = 1. Let p(n) = -9*n. Let z(u) = -2*o(u) - p(u). Let r(l) = 19*l - 4. Suppose -14*c + 840 - 756 = 0. Determine c*r(v) - 13*z(v). -3*v + 2 Let q(j) = 9*j**2 - 17. Let d(u) = -3*u**2 + 3*u - 9. Let g(p) = 2*p**2 - p + 1. Let c(w) = d(w) + 3*g(w). Give 11*c(b) - 4*q(b). -3*b**2 + 2 Let x(h) = 19*h - 6. Let j(p) = -13*p + 4. Let w(n) = 3*j(n) + 2*x(n). Suppose -g = -3 - 2. Let u = 0 + g. Let a(f) = f**2 + 5*f - 1. Determine u*w(t) + a(t). t**2 - 1 Let n(s) = -143*s - 44. Suppose 520*t - 515*t - 25 = 0. Let u(z) = -16*z - 5. Determine t*n(r) - 44*u(r). -11*r Let b(a) = -a + 1. Let v(m) = -2. Let k(f) = -b(f) - v(f). Suppose 0 = -c - 2*d + 2 - 5, -d - 3 = 2*c. Let w(x) = -x**2 - 2*x - 6. What is c*w(t) - 2*k(t)? t**2 + 4 Let x(f) = f**2 + f. Let g(z) = z**3 - 6*z**2 - 5*z. Suppose -8*k + 2 = -6*k. Give k*g(l) + 4*x(l). l**3 - 2*l**2 - l Let z(b) = -39300*b**2 - 786*b. Let w(q) = -401*q**2 - 8*q. Calculate -393*w(k) + 4*z(k). 393*k**2 Let b(z) = 4*z**2 - 17*z - 43. Let n(a) = 11*a**2 - 46*a - 129. Calculate 8*b(u) - 3*n(u). -u**2 + 2*u + 43 Let i(x) = 14*x + 13. Let g(b) = 41*b + 38. What is -6*g(o) + 17*i(o)? -8*o - 7 Let i(x) = 3*x**2 + 301*x - 13. Let q(a) = -4*a**2 - 301*a + 16. What is 5*i(s) + 4*q(s)? -s**2 + 301*s - 1 Let v(f) = -264*f**3 - 4*f**2. Let m(l) = -791*l**3 - 10*l**2. Calculate -3*m(c) + 8*v(c). 261*c**3 - 2*c**2 Let s(p) = 10*p**2 + 14*p - 1. Let h(n) = 28*n**2 + 43*n - 2. Give -4*h(t) + 11*s(t). -2*t**2 - 18*t - 3 Let p(s) = -8 + 50*s - 6*s**2 + 38*s + 38*s - 134*s. Let v(c) = c**2 + c + 1. Determine p(u) + 8*v(u). 2*u**2 Let d(c) = -61*c + 1. Let q(v) = 32*v - 1. Determine -3*d(b) - 5*q(b). 23*b + 2 Let b(v) = -60*v - 3. Let s(d) = -2*d - 1. Calculate -b(t) - 2*s(t). 64*t + 5 Let l(u) = -6*u**3 - 4*u**2 + u. Suppose -183 - 111 = 6*x. Let m = -45 - x. Let z(i) = -7*i**3 - 5*i**2 + i. Determine m*z(y) - 5*l(y). 2*y**3 - y Let s(j) = 7*j + 2. Let u(q) = q. Suppose -g - 3 = 0, 2*k + 5*g = -k - 3. Let c be (-2)/4*k - 4. Determine c*u(t) + s(t). t + 2 Suppose 7*x = -x + 4*x. Let s(n) = -149*n + 148*n + n**3 + n**2 + x*n**3. Let b(z) = 2*z**2 - 2*z. Calculate b(m) - 2*s(m). -2*m**3 Let k(r) = 7*r**2 - 4*r - 7. Let a(t) = -20*t**2 + 11*t + 20. Suppose -3*c - 1 - 7 = u, -2*u - 3*c = 25. Determine u*k(s) - 6*a(s). s**2 + 2*s - 1 Let u(n) = -16436*n. Let w(h) = 865*h. Give 3*u(q) + 56*w(q). -868*q Let m(n) = 1. Let c(z) = 2*z**2 - 3*z - 8*z + 3 + 5*z. Let s be c(3). Let r(u) = -3*u - s + 14 - 7 + 5*u. Calculate 3*m(o) - r(o). -2*o - 1 Suppose 0 = 4*z - 12, -3*z = 4*l + 2*z - 19. Let d(s) = -2*s**3 + 2*s**2 - s + 1. Let t(n) = n**3 + n + 1. Give l*d(v) - t(v). -3*v**3 + 2*v**2 - 2*v Let k = -20 + 21. Let z(m) = 1 + 0 + 0 + m. Let c be 8/(-6) - 2/3. Let a(o) = -2*o**2 + o + 3. Calculate c*z(y) + k*a(y). -2*y**2 - y + 1 Let l(b) = 333*b - 5. Let g(n) = -109*n + 1. Determine 7*g(z) + 2*l(z). -97*z - 3 Let s(q) = 3*q**3 + 4*q**2 - 4*q + 6. Let b(u) be the second derivative of 4*u - 3/2*u**3 + 3/4*u**4 + 7/20*u**5 + 13/2*u**2 + 0. Calculate -4*b(i) + 9*s(i). -i**3 + 2 Let k(d) = -3*d**3 + 2*d**2 + 2*d + 3. Let z(q) = 7*q**3 - 5*q**2 - 5*q - 7. Let j = 655 - 650. Determine j*k(u) + 2*z(u). -u**3 + 1 Let y(i) = 85*i + 35. Suppose -2*n - 70 = -2*r, 5*r - 2*r = 4*n + 105. Let a(s) = 5*s + 2. What is r*a(t) - 2*y(t)? 5*t Let m(w) = -142*w**2 - 10*w. Let y(v) = 853*v**2 + 63*v. Determine -13*m(n) - 2*y(n). 140*n**2 + 4*n Let j(k) = 8*k**2 - 119*k - 1. Let v(p) = 42*p**2 - 596*p - 6. Calculate 16*j(y) - 3*v(y). 2*y**2 - 116*y + 2 Let t(g) = -467*g**2 - 18*g + 6. Let n(i) = 934*i**2 + 39*i - 13. Determine -6*n(h) - 13*t(h). 467*h**2 Let n(q) = 3*q**3 + 63. Let p(d) = -d**3 - 31. Determine -2*n(t) - 5*p(t). -t**3 + 29 Let h(d) = 0*d + 0 - 1 + 13*d + 12. Let a(m) = 6*m + 5. Suppose -8*i = -3*i - 45. Determine i*a(n) - 4*h(n). 2*n + 1 Let g(k) = 12*k**3 - 6*k**2 + 5*k - 5. Let y be (-1)/2 + 814/148. Let b(u) = -11*u**3 + 5*u**2 - 4*u + 4. What is y*b(j) + 4*g(j)? -7*j**3 + j**2 Let q(g) = 299*g - 7. Let h(o) = 154*o - 4. Determine -5*h(a) + 3*q(a). 127*a - 1 Let j be (36/21)/((-2)/(-21)). Let k be -14 - ((-2)/(-8) + (-176)/(-64)). Let n = j + k. Let f(t) = t. Let w(d) = -4*d + 1. Calculate n*w(z) + 6*f(z). 2*z + 1 Let k(j) = -104*j**2 + 7*j + 3. Let u(x) = -208*x**2 + 16*x + 7. What is -7*k(s) + 3*u(s)? 104*s**2 - s Let v(y) = -62*y + 51. Let i(f) = -21*f + 16. What is 13*i(m) - 4*v(m)? -25*m + 4 Let x(j) = -30*j + 10. Let g(d) = 6*d - 2. Let r be ((-96)/190 + 6/57)*-35. Give r*g(k) + 3*x(k). -6*k + 2 Let n(l) = -2*l**2 - 9. Let q(f) = -f**2 - 2. Let s(m) = -2*n(m) + 11*q(m). Let a(d) be the first derivative of -16*d**3 - 27*d - 1. What is -4*a(i) + 27*s(i)? 3*i**2 Suppose -3*u + 4*f + 8 + 15 = 0, u + 2*f = 1. Suppose u*n = 26 + 44. Let d(l) = -5*l - 7. Let w(s) = -2*s - 3. Let v be (-8)/(-12) - 40/6. Give n*w(h) + v*d(h). 2*h Let y(j) = -j. Let a(q) = -6*q. Suppose 0 = 5*s - 10*s, 5*s + 42 = 3*z. Let v(x) = 2*x - 6. Let f be v(3). Let i be -2 - 0/(-3 + f). Calculate i*a(d) + z*y(d). -2*d Let j(v) = -9*v**3 - 6*v**2 - 10*v + 6. Let h(y) = -10*y**3 - 7*y**2 - 11*y + 7. Suppose 0 = -3*i - 12, -4*c + 6 = i - 14. What is c*h(t) - 7*j(t)? 3*t**3 + 4*t Let g(r) = 5*r**2 - 11*r - 1. Let t(h) be the second derivative of h**4/12 - h**3/3 + h - 24. Determine 4*g(u) - 22*t(u). -2*u**2 - 4 Let g(t) = 6*t**3 - 21*t - 42. Let m(d) = d**3 - 3*d - 6. Give 2*g(z) - 15*m(z). -3*z**3 + 3*z + 6 Let m(x) = 6*x**3 - 5*x**2 - 5*x - 9. Let t(n) = -11*n**3 + 10*n**2 + 9*n + 16. Calculate 5*m(p) + 3*t(p). -3*p**3 + 5*p**2 + 2*p + 3 Let o(a) = 5*a**2. Suppose 0 = 4*u + 5*h + 97, 0 = -5*u + 5*h - 125 - 30. Let z(w) = w**2. Determine u*z(n) + 4*o(n). -8*n**2 Let k(z) = -41*z**2 + 46*z**2
{ "pile_set_name": "DM Mathematics" }
the biggest value? (a) 0.4 (b) -0.2 (c) t a Let l = 328 + -328.524. Let f = 0.476 - l. Let r be 9/(-20)*(-5)/6. Which is the fourth smallest value? (a) r (b) 2 (c) f (d) 1/5 b Let p be 6 + (14 - 3 - 536/32). Let w be 0/((-1 - -3) + 1). Which is the second biggest value? (a) p (b) w (c) 8 a Let h = 1136 - 616. Let a = -514 + h. What is the second biggest value in -0.1, a, 5? 5 Let f = 1.439 - -0.121. Let s = f - 1.5. Which is the fourth smallest value? (a) s (b) -0.1 (c) -2 (d) -2/15 a Let w = -382.2 + 393.6. What is the third smallest value in w, 24, 1? 24 Let t = -340043.2 + 340043. Let h be (0 - 4/42) + 0. Which is the third biggest value? (a) 0.1 (b) h (c) -7 (d) t d Let o = -48.89 - -46.79. Which is the fourth biggest value? (a) o (b) -0.06 (c) -5 (d) 1/4 c Let g = 216.341 + -429.519. Let v = -213 - g. Let h = -0.022 - v. Which is the second biggest value? (a) 0.1 (b) h (c) 3 (d) 7/6 d Let r = 752 + -104. Let k = r + -648.129. Which is the biggest value? (a) -2/3 (b) k (c) 4/5 c Let a = 9.09 - 9.4415. Let i = -0.0485 + a. What is the third biggest value in i, 1/12, -2, -0.3? i Suppose 4*n - m - 732 = 0, n - 5*n + 3*m = -724. Let i = n + -1103/6. Let j = 28 + -33. Which is the smallest value? (a) -0.3 (b) i (c) j (d) 8 c Let r = -0.126 - 0.541. Let v = -1.333 + r. Let i = -0.5 - -0.1. Which is the second smallest value? (a) 1 (b) i (c) v (d) -4/7 d Let w be 1/((-1)/(-3)*-1). Let l = -0.237 + 0.215. Let p = 0.978 - l. What is the fourth smallest value in -0.3, w, 0, p? p Let s(h) = 4*h - 8 - h**2 + 5*h - 3*h + 117. Let q be s(14). Which is the smallest value? (a) -0.1 (b) q (c) 5 (d) 0.3 b Let f = 814/20335 - -2/245. What is the smallest value in 0.1, f, 5, -0.1? -0.1 Let j = -905721 - -8143084/9. Let x = 1965 + -2898. Let k = j - x. What is the third biggest value in k, -1/3, -5? -5 Let g = 3.715 - 0.015. Let x = g - -0.3. Let s = 318 + -316. Which is the biggest value? (a) -1.8 (b) s (c) -2 (d) x d Let f = -3656.4 + 3656. Which is the second smallest value? (a) -0.3 (b) 87 (c) f a Let w = -176602.62 - -176603. Let a be (-6)/26*4/(-6). What is the third smallest value in -2/15, a, w? w Suppose -163 = 2*q - 157. Let x be (-20)/180 + 1/q. Which is the third smallest value? (a) 12 (b) 4 (c) x a Let t = -3231.9 + 3234. What is the second biggest value in t, 5, 0.1? t Let s be (0*(-3)/(-9))/(-2). Let j = -46 - -49. Suppose -c + 4*c + j*p - 27 = 0, 5*c - 5*p + 5 = 0. What is the second smallest value in -2/5, s, c? s Let w = 1 + -0.7. Suppose 2*u + 53336 - 53338 = 0. What is the second smallest value in u, -2, -3, w? -2 Let n = 20501 + -20695.19. Let m = -194 - n. Suppose -8 = -4*y - 0. Which is the second smallest value? (a) m (b) 1/6 (c) y (d) 0 b Let t = 197.936 - 198. Let v = -4.936 + t. Let p = 15 - 10. Which is the second smallest value? (a) 0.1 (b) v (c) p a Let y = -76.173 + -2.827. What is the second biggest value in -3/4, y, 0.2, 5? 0.2 Let k = -19888 + 19889. Which is the biggest value? (a) -3 (b) 2/29 (c) k (d) 3 d Let h be 34/9 - (2 + 2). Let z(f) = 2*f - 16. Let k be z(3). Let s be (0 - 2/k) + 9/55. What is the second biggest value in s, 0, h? 0 Let g be 2/4 - (-2)/(12/4749). What is the smallest value in -2, g, -1/8? -2 Let j = -1834 + 1856. Which is the third smallest value? (a) j (b) -6 (c) 1/5 a Let v = 34397 + -34394. Let x = -5 + 9. What is the smallest value in x, 5, v, -0.19? -0.19 Let j = 323 + -449. Let w be j/(-1617) + (-8)/22. What is the third smallest value in 1/3, w, -12, -0.2? -0.2 Let m = -57 + 182. Let q = m - 124.5. Which is the second biggest value? (a) 0.1 (b) 0 (c) q a Let f(w) = w**2 - 19*w + 18. Let n be f(18). Suppose -g - 15 = -3*s - 6, 2*s - 2 = n. Let p = 8/21 + 2/7. Which is the third biggest value? (a) 2 (b) g (c) p b Let y = 28065/143 - 2549/13. What is the smallest value in 12, y, 851? y Let y = 2971.6 - 2972. Which is the second smallest value? (a) -11 (b) 1/7 (c) y (d) 2 c Let f = -30 - -34. Suppose 2*r = 7 - 3, 0 = 4*s - 5*r + 14. Let y be (6 - 7)/(s/5). What is the biggest value in 0.5, y, f? y Let m = 805.2 - 797. Which is the second smallest value? (a) -2 (b) m (c) 4 c Let x = -25529 + 25544. What is the second biggest value in -0.5, x, -0.039? -0.039 Let v = -0.6631 - -0.1631. Let i = 9/8 - 41/40. What is the smallest value in 2, i, v, 3? v Let g be (-7 + 6 + -1)/(((-91)/(-14))/(-13)). Which is the fifth smallest value? (a) -78/35 (b) -0.3 (c) g (d) -0.2 (e) 2 c Let o be (-1 + -8*3/(-16) - -5)*2. Which is the third smallest value? (a) 5 (b) -0.2 (c) -0.03 (d) o a Let y be (-7)/(-22) - (-312)/1716. What is the third smallest value in y, 2/15, -1, -15? 2/15 Let y = 261.32 + -3.32. Let j = y + -259. Which is the third biggest value? (a) j (b) -4.1 (c) -2/11 b Let g = 6.2 + -5.7. Let u be (-39)/429 - (-54)/110. Which is the second biggest value? (a) 3.4 (b) g (c) u b Let y = -7 - -4. Let i = -0.2519 - -0.1519. Let n = -39.7 + 40. What is the biggest value in y, 15, i, n? 15 Let s = -14561 - -14554. Which is the third biggest value? (a) s (b) -0.2 (c) -1 (d) 17 c Let p = 671482.989 + -670339. Let j = 1139 - p. Let a = -0.011 + j. What is the smallest value in a, 5/6, -4, 0? a Let g = -20165 - -20163. What is the second smallest value in g, -1.28, -7? g Let z = 5 + -2. Let p = -80.9 + 2.9. Let y = -81 - p. What is the second biggest value in z, 2, y? 2 Suppose 4*s - 18 = 4*m - 2*m, 12 = s - 2*m. Suppose s*v - 50 + 30 = 0. Suppose -5*d + 10 = -v. Which is the third smallest value? (a) d (b) -2 (c) 0.1 a Let r = -5.6 + 0.6. Let d = 444.62 + -537.62. Which is the third biggest value? (a) r (b) d (c) 3 b Let z = 9.74 + -6.74. What is the smallest value in 2, 1/2, -0.2, -15, z? -15 Let n(t) = t**2 - 81*t + 587. Let x be n(8). Let p = -121.1 - -131. Let w = 10 - p. Which is the third biggest value? (a) w (b) -31 (c) x b Let h = -260 + 161. Let l = 94 + h. What is the third smallest value in l, 9, 0.5? 9 Suppose 26*q = -56*q + 144 + 102. What is the second smallest value in 0, 40, q, 0.5, 0.4? 0.4 Let t = 1.1489 - 1.3489. Which is the second smallest value? (a) 0.3578 (b) t (c) -2 b Let p(d) be the third derivative of -d**5/60 - d**4/12 + d**3/6 - 2*d**2. Let v be p(-3). Let o = 612 - 612. Which is the biggest value? (a) v (b) -3 (c) o c Let z be (-30)/(-108)*2532/(-1055). Let c = -5 + 8. What is the third biggest value in c, 2.9, z, 0.4? 0.4 Let x = 917/6 - 153. Which is the biggest value? (a) -1 (b) 0.5 (c) 0 (d) x (e) 1/5 b Let c = 10.537 + 0.163. Let b = -11.2 + c. Let w = 0.42 + -0.42. What is the second smallest value in 0.38, b, w? w Let r(c) = c**2 - 10*c + 8. Let g be r(9). Let q(m) = m**2 + 9*m + 20. Let b be q(-8). Let i be b/(-21) - 102/42. What is the biggest value in -5, g, 5, i? 5 Let w = 6.7 + -8.7. Let j = -524/2277 - -2/253. What is the third smallest value in j, 5, 3/2, w? 3/2 Let d = 101 + -705/7. Let x(s) = 23*s - 126. Let j be x(5). Let z be (-3)/33*(9 + j). Which is the second biggest value? (a) 32 (b) z (c) d c Let m = 1034 - 731. Let u = m - 432. Let p = u - -131. What is the second smallest value in p, -10, -2? -2 Suppose 34 + 76 = 22*f + 22. What is the third smallest value in -0.7, f, 9, 1? f Let w = 4.15 - 0.15. Let j = -49 + 49.165. Let o = j - -0.135. Which is the second smallest value? (a) w (b) o (c) 0.1 b Suppose -3*u - 4*w - 84 = 2*u, -4*u = -3*w + 92. What is the biggest value in 4, u, 5, -2/9? 5 Let l be (-34 + 3)*(-1766)/(-4). Let t = 242789/18 + l. Let h = 198 + t. Which is the biggest value? (a) 15 (b) h (c) 0.3 a Let u = -0.21 + -3.79. Let t = -513 + 517. Which is the second smallest value? (a) t (b) -5 (c) 0 (d) u d Let p = 97 - 96.5. Let h = -68.6 + 69. Let d = 708/7 - 101. What is the smallest value in h, d, p? d Let n = -251.51 + 250. Let j = 17.09 - n. Let k = -2.6 + j. Which is the second smallest value? (a) -2 (b) k (c) 3/4 c Suppose b = 5*u - 21, 5*u - 3*b = -b + 22. Suppose 5 = l - u*y, 3*y - 2*y = -4*l + 3. What is the smallest value in l, -5, -15/2, 2/7? -15/2 Let z = -13133 + 13177. What is the second biggest value in 0.2, -10, z, -5? 0.2 Let t(u) = 2*u**2 + 18*u + 51. Let h be t(-15). Let i be ((-3)/(-5))/(h/110). Whic
{ "pile_set_name": "DM Mathematics" }
rt(144) - sqrt(144)) + sqrt(144))/sqrt(12)) + 1. -2 + 14*sqrt(3) Simplify (4 + (sqrt(1100) + -1)*-6 + -1)**2 + ((sqrt(1100) - (sqrt(1100) + -2 + -5)) + 4)**2 + -5. -1080*sqrt(11) + 39797 Simplify ((sqrt(8)*1)**2*2 + 2)*2 - (sqrt(200)*3*-6 + 5). 31 + 180*sqrt(2) Simplify -2 + -5 + sqrt(304) + -3 + (sqrt(304)*3)**2 + sqrt(304) + -1*((sqrt(304) - -5*sqrt(304))*4 + 5)**2. -172403 - 952*sqrt(19) Simplify (-4 + -6*(2 + -5*sqrt(567) + 2*sqrt(567) + 4 + 2))**2. -16848*sqrt(7) + 186412 Simplify (((sqrt(143) + -2*sqrt(143))*2 - sqrt(143))/(((sqrt(11) - (sqrt(11) + 2*sqrt(11))) + sqrt(11))*-5)*1*-4 + 5)*-4. -48*sqrt(13)/5 - 20 Simplify (1*(sqrt(143)*-1 + sqrt(143) - sqrt(143)))/sqrt(11) + 5 + 5 + (0 + sqrt(325)*-1 - sqrt(325)) + sqrt(325) + (sqrt(325) - -3*-2*sqrt(325))**2. -6*sqrt(13) + 8135 Simplify -4*(sqrt(1100) + sqrt(1100) + 3*sqrt(1100)*-5 + sqrt(1100) + 1*1*sqrt(1100) - ((3 + 3*sqrt(1100))*-3 + -3))**2. -18176 + 1920*sqrt(11) Simplify (5 + 1*-2*(-2*(6*(sqrt(68) - (-1 + sqrt(68))) + sqrt(68)) - ((3*(sqrt(68) + (sqrt(68) - sqrt(68)*1)) + sqrt(68) - sqrt(68)) + 4)))**2 + 3. 1480*sqrt(17) + 8172 Simplify (sqrt(216)/(sqrt(8) - sqrt(24)/sqrt(3)*6))/(sqrt(9)*-2*-1 - (1*sqrt(81))/sqrt(9))*5. -sqrt(3) Simplify (sqrt(170)/(sqrt(25)/sqrt(5)) + sqrt(34))/(2*sqrt(162)) - (-4 + (sqrt(272) - 1*(-1 + sqrt(272))) + 1)**2. -4 + sqrt(17)/9 Simplify 1 + 3*((-2*sqrt(275))**2 - sqrt(275)) + (-3 + (sqrt(275) - (0 + sqrt(275))))**2 + -4*(-1*sqrt(275) + sqrt(275))*-4 + -1. -15*sqrt(11) + 3309 Simplify (sqrt(48)/(-2*sqrt(4)) - sqrt(300)*4)/(-1*5*(sqrt(4) + sqrt(40)/(sqrt(50)/sqrt(5)))). 41*sqrt(3)/20 Simplify -2 + ((sqrt(153)*4 + sqrt(153) + 4)**2 - (sqrt(2057) - (3 + sqrt(2057))*-6)). 43*sqrt(17) + 3821 Simplify (-6*((sqrt(1216) - (sqrt(1216) + -1))*-4 + 4) + (-2*(-3 + sqrt(1216)) - -6*sqrt(1216)*-3))**2. -1920*sqrt(19) + 486436 Simplify 4*(-1 + 6*(3 + (sqrt(500) - -1*sqrt(500)*1) + 4 + (sqrt(500) - (1*sqrt(500) + 5)))**2 + -2). 1920*sqrt(5) + 48084 Simplify 4*(0 + -4*sqrt(171) + sqrt(171) + 4 + -4 + 3)*3. -108*sqrt(19) + 36 Simplify ((3*(3 + sqrt(539) + -2) + (sqrt(539) + 3*sqrt(539)*-3)*6)*-3)**2. -17010*sqrt(11) + 9823356 Simplify 2 + sqrt(4)/(sqrt(20)/(-4*sqrt(10))) + (sqrt(2) + (sqrt(2) - sqrt(16)/sqrt(8)) + -3)**2*6. -40*sqrt(2) + 68 Simplify 4 + (((sqrt(5) - sqrt(405))*5)**2 + 5*sqrt(80) - ((sqrt(160)/sqrt(8))/sqrt(4) + (sqrt(5) - (sqrt(50)/sqrt(10)*-6 + sqrt(5)))**2)). 19*sqrt(5) + 7824 Simplify -4 + (-3*(sqrt(320)*-1 + 5 + -4 + sqrt(320) + -3)*1)**2 + 0. 32 Simplify -5*(-5 + -3*5*(4 + (sqrt(468) + -3*(sqrt(468) + 1) - 5*((sqrt(468)*2 - sqrt(468)) + sqrt(468) - sqrt(468))**2))). -175400 - 900*sqrt(13) Simplify (-6*(sqrt(275)*1*-1)**2*-2 + (5*(sqrt(275) + 5 + -1 + sqrt(275)) + -5)**2)*4. 6000*sqrt(11) + 124100 Simplify (-5*(-5 + -4 + sqrt(931)*-1)*2)**2*4*-6. -2428800 - 302400*sqrt(19) Simplify 1 + ((2*(sqrt(3) - sqrt(15)/sqrt(5)) - (4*sqrt(363) - sqrt(363)))**2 - (-3 + (sqrt(192) + (sqrt(192) + -2)*-5 - sqrt(192)))**2). -1581 + 560*sqrt(3) Simplify (((sqrt(204)*2 - sqrt(204))/sqrt(12) + -2)*-2)**2 + (sqrt(119) - -4*(sqrt(119) + sqrt(119)*2 - sqrt(119)))/(sqrt(35)/(-1*sqrt(5))). -25*sqrt(17) + 84 Simplify (-1 + 3*sqrt(80) + 4 + -5*5*(sqrt(80) + 0))*3. -264*sqrt(5) + 9 Simplify -4*((sqrt(128) - -1*sqrt(128)*3)/sqrt(4) + -1 + sqrt(800) + -5 + 5)**2. -10372 + 288*sqrt(2) Simplify (2 + (-4*sqrt(136))/sqrt(8) + sqrt(187)/sqrt(704))**2*5*-4*1. -82965/16 + 310*sqrt(17) Simplify ((sqrt(152)/sqrt(64))/(5*sqrt(8)) - ((-3*sqrt(114))/sqrt(6) + (sqrt(19) - (-1*sqrt(19)*3 - sqrt(19)))))*-1. 79*sqrt(19)/40 Simplify ((sqrt(117) + (sqrt(117) - -1*-1*sqrt(117)) - -1*sqrt(117)*-1)*2)/(-5*sqrt(576)*-2 + 4*(1*sqrt(576) + sqrt(576))) + -1. -1 Simplify ((2*((sqrt(84) - (sqrt(84) - (sqrt(84)*1 + sqrt(84)))) + sqrt(84) - sqrt(84)))/(sqrt(50) + sqrt(200)/sqrt(4)))/(sqrt(24)*-1 + sqrt(378)/sqrt(7)) + 3. 2*sqrt(7)/5 + 3 Simplify (sqrt(4212)*-2*-6 + sqrt(4212) + sqrt(4212)*1*-3)/((-2*sqrt(196) + sqrt(16)/sqrt(4)*5)*1). -10*sqrt(13) Simplify (-1 + (sqrt(396) + -4 - sqrt(396))*4)**2 + ((sqrt(396) + 2 + sqrt(396))*3 - (sqrt(396) + (sqrt(396) - (sqrt(396) + -1)) + -2)) + 5. 30*sqrt(11) + 301 Simplify (-3*-2*(-1*sqrt(85) - sqrt(85))*-3)/(sqrt(40)/(sqrt(48)/sqrt(6)) + -3*sqrt(125) + sqrt(5)). -36*sqrt(17)/13 Simplify 1*(6*(0 + sqrt(1539) + sqrt(1539)*1) + -4)*-1*-6*-5. -3240*sqrt(19) + 120 Simplify (1 + -6*(sqrt(1331)*-2 - sqrt(1331)) + ((sqrt(1331) + 0)*4 - sqrt(1331)) + (3 + sqrt(1331) + 1)*5)**2. 12012*sqrt(11) + 900197 Simplify (-4*((sqrt(320)*-2 - sqrt(320)) + -6*sqrt(720)))/(((sqrt(576) - (sqrt(576) + 4*sqrt(576)))*-2 + sqrt(576) - sqrt(576))*3). 2*sqrt(5)/3 Simplify -5 + 2 + 0 + 0 + sqrt(75) + -5*(-1*sqrt(75) + 0)*2. -3 + 55*sqrt(3) Simplify (2 + 1*(sqrt(637) + 2) + sqrt(325)*-2*1 + 1)**2. -30*sqrt(13) + 142 Simplify 4*(sqrt(432) + 0)*6 + 0 + (1*(sqrt(432) + 0 + sqrt(432)) + 5 + -3)**2. 384*sqrt(3) + 1732 Simplify ((sqrt(51)/sqrt(48) - (1 + sqrt(17) + -5)) + 1)**2 + sqrt(102)/(sqrt(12)/(sqrt(16)/sqrt(8))) + -1. -13*sqrt(17)/2 + 537/16 Simplify ((sqrt(125) - (sqrt(125) - sqrt(125)*2)*-3 - -2*(sqrt(125) + 1))*-1)**2 + -2*((-1*(sqrt(5) + 2*sqrt(5)))**2 - sqrt(5) - sqrt(30)/sqrt(96)). -86 + 5*sqrt(5)/2 Simplify (sqrt(78) + (sqrt(78) - (sqrt(78) + (sqrt(78)*1*-2 - sqrt(78)))) - 1*sqrt(78)*-6)/(sqrt(96)/sqrt(4) + sqrt(150)*-5)*-3. 30*sqrt(13)/23 Simplify ((sqrt(152)*-2*4 + 1*sqrt(152)*3)*6)/((4*(sqrt(56) - 2*sqrt(56)))/(sqrt(84)/(2*sqrt(12)))). 15*sqrt(19)/4 Simplify -2 + (-3 + -3*(sqrt(176) - (0 + sqrt(176)))*-3 + -3)**2 + 4. 38 Simplify ((-5*(sqrt(1584) + sqrt(1584) + 1*sqrt(1584) + sqrt(1584) + 4) - (3 + (sqrt(1584) + (sqrt(1584) + 0)*-3 - sqrt(1584))))*2*6 + -3)**2. 1365984*sqrt(11) + 65997585 Simplify ((-5 + (sqrt(1573) - sqrt(1573)*1))**2 + (6*(sqrt(1573) - (0 + sqrt(1573))))**2)*3 + -6*((sqrt(1573) - 2*sqrt(1573)*-3)**2 + 5). -462417 Simplify ((sqrt(704) + sqrt(704) + 0)*-1 + 6*(sqrt(704) + -1) - (3*(4 + (sqrt(704) - -3*sqrt(704))))**2)*3. -304578 - 6816*sqrt(11) Simplify -2 + 1*(-1 + sqrt(200)) + 2 + -4 + 5 + sqrt(2). 11*sqrt(2) Simplify -4 + -4*-4*(sqrt(10)/sqrt(125)*-6 - ((sqrt(108)*2)/sqrt(9) - sqrt(12))/sqrt(6)). -176*sqrt(2)/5 - 4 Simplify (5 + -2*sqrt(6336) + (-1 + sqrt(6336))*1 - -6*(sqrt(6336) + -1)*2)**2*3. -12672*sqrt(11) + 2300160 Simplify (-1*(sqrt(84) + (4*sqrt(84)*-1 - sqrt(84)) - sqrt(84))*-5)/((-2*sqrt(144)*2 + sqrt(144))/(-6*sqrt(60)/sqrt(5))). -50*sqrt(7) Simplify (5*sqrt(147)*-3 - (2 + (sqrt(147)*1 + sqrt(147) - sqrt(147))))**2 + -2 + 3 + 5. 448*sqrt(3) + 37642 Simplify (2*sqrt(2904) - (sqrt(264)/(sqrt(55)/sqrt(5)) + sqrt(24)))/((4*sqrt(144))/sqrt(12)*-5). -sqrt(2) Simplify (0 + -4*((sqrt(300)*-2)/sqrt(6) + sqrt(800) + sqrt(800)*1 + sqrt(50))*-6)**2. 1411200 Simplify (-3 + (sqrt(1573) + 0)*-1 + -2*(1 + sqrt(1573) - sqrt(1573)) + 1 + -2)**2. 132*sqrt(13) + 1609 Simplify ((-5*(sqrt(833) - sqrt(833)*-2) - (sqrt(833)*-1 + 0)) + -6*((2*sqrt(833) - sqrt(833)) + 4)*-4 + 1)**2. 13580*sqrt(17) + 92709 Simplify (6*sqrt(119)/sqrt(7) - (sqrt(1700) + sqrt(1700)*1))**2 - (1 + (sqrt(1377)*-3 + 2)**2). -9066 + 108*sqrt(17) Simplify (-6*3*(sqrt(3) - (-1*sqrt(3))**2) - (5*(sqrt(3) + 1))**2*4) + (-3 + (1*((sqrt(3) - (1 + sqrt(3))) + sqrt(3)))**2 + sqrt(192) + -1)*-1. -224*sqrt(3) - 346 Simplify (((sqrt(133) - (sqrt(133) - (-4*-2*sqrt(133) - sqrt(133))))*-5)/(sqrt(56)/(sqrt(128) - sqrt(8)) + -1*sqrt(847) + sqrt(7) + sqrt(7)))**2*3. 628425/676 Simplify (-6*(sqrt(156) + (1*(sqrt(156) - (5*sqrt(156) + sqrt(156))) - sqrt(156))))/((sqrt(588) - (sqrt(588) + sqrt(588)*1))*-3 + sqrt(588)). 15*sqrt(13)/14 Simplify (((3 + sqrt(6)/sqrt(2) + -4)*-5)**2 + 5*sqrt(3)*2 + sqrt(243))*-6. -600 + 186*sqrt(3) Simplify (1*sqrt(189))/(sqrt(7) - (-1*sqrt(28) - sqrt(28))) - (sqrt(9)/(sqrt(18)/sqrt(6)) - 1*(sqrt(33)/sqrt(11))**2). -2*sqrt(3)/5 + 3 Simplify -2*(-2*((1 + sqrt(162) - sqrt(162))*3)**2 + -2)*-6*-3. 720 Simplify -4*(sqrt(315)*-3*-1)/((sqrt(5) - sqrt(50)/(sqrt(10)*2)) + sqrt(20)/sqrt(4)*-2 + sqrt(5) + sqrt(5)). -72*sqrt(7) Simplify -5 + (sqrt(208) + -2 + sqrt(208))*4 + (3*-1*sqrt(117))/((sqrt(9) + -1*sqrt(9) + sqrt(9))*-3). -13 + 33*sqrt(13) Simplify 0 + 3*(((-3*(sqrt(3) - sqrt(6)/sqrt(2)))**2 - (1*sqrt(3) + 5)) + -5*(-3 + sqrt(3)*4))*-6. -180 + 378*sqrt(3) Simplify (sqrt(1512) + 6*(sqrt(1512)*1 + sq
{ "pile_set_name": "DM Mathematics" }
acement from {e: 5, t: 4, d: 1}. Give prob of sequence deet. 1/63 Four letters picked without replacement from pjkwfwd. Give prob of sequence fkpw. 1/420 Two letters picked without replacement from {n: 2, f: 2, x: 4, a: 4}. What is prob of sequence nf? 1/33 Three letters picked without replacement from evtv. What is prob of sequence vvt? 1/12 What is prob of sequence itcg when four letters picked without replacement from iicttg? 1/90 Two letters picked without replacement from {y: 9, l: 1, j: 4}. What is prob of sequence jy? 18/91 Two letters picked without replacement from {r: 2, p: 7, h: 1}. Give prob of sequence hr. 1/45 What is prob of sequence swss when four letters picked without replacement from swwsssssss? 2/15 Calculate prob of sequence em when two letters picked without replacement from {a: 1, e: 1, n: 1, r: 2, m: 1, p: 1}. 1/42 What is prob of sequence evg when three letters picked without replacement from {b: 1, v: 1, u: 1, e: 5, g: 2}? 1/72 Calculate prob of sequence tfrf when four letters picked without replacement from {r: 1, t: 1, f: 2}. 1/12 Calculate prob of sequence ccco when four letters picked without replacement from {c: 9, o: 5}. 15/143 Four letters picked without replacement from caaaaaccccaa. What is prob of sequence aacc? 7/99 What is prob of sequence uu when two letters picked without replacement from {f: 5, b: 1, j: 1, u: 5}? 5/33 Four letters picked without replacement from iikttkkkot. What is prob of sequence okii? 1/630 What is prob of sequence gbn when three letters picked without replacement from {n: 1, d: 1, i: 2, g: 2, b: 2}? 1/84 Four letters picked without replacement from {e: 1, h: 1, t: 1, w: 2}. What is prob of sequence twew? 1/60 What is prob of sequence jp when two letters picked without replacement from {p: 9, j: 3}? 9/44 Calculate prob of sequence jxxi when four letters picked without replacement from jjxixijxiiijxxxzziz. 5/646 What is prob of sequence iww when three letters picked without replacement from iwvwwnv? 1/35 Three letters picked without replacement from {n: 7, i: 4}. Give prob of sequence iii. 4/165 Three letters picked without replacement from gggssgssssgssgssggsg. What is prob of sequence ggs? 11/95 Calculate prob of sequence nykn when four letters picked without replacement from kyyskknyknnknknyy. 5/476 What is prob of sequence scs when three letters picked without replacement from {c: 3, s: 2, x: 7}? 1/220 Four letters picked without replacement from yyaboyyyb. What is prob of sequence oyba? 5/1512 Calculate prob of sequence hxu when three letters picked without replacement from {h: 2, o: 1, e: 1, n: 1, x: 1, u: 2}. 1/84 What is prob of sequence liil when four letters picked without replacement from lliyilliilliil? 15/286 Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwwww. 1 Calculate prob of sequence wy when two letters picked without replacement from {o: 2, y: 2, u: 1, w: 4}. 1/9 Three letters picked without replacement from {f: 7, i: 2, x: 1}. Give prob of sequence ffx. 7/120 What is prob of sequence nj when two letters picked without replacement from {c: 3, a: 2, n: 5, j: 3}? 5/52 Two letters picked without replacement from {w: 1, c: 1, d: 4, v: 1, b: 3, k: 2}. Give prob of sequence dd. 1/11 Calculate prob of sequence iei when three letters picked without replacement from yyyeigiaeiiiqiiiei. 3/68 Two letters picked without replacement from vzjjtv. What is prob of sequence zt? 1/30 Calculate prob of sequence vruu when four letters picked without replacement from rugrvrru. 1/210 Calculate prob of sequence mm when two letters picked without replacement from {m: 8, h: 3, i: 6}. 7/34 Four letters picked without replacement from {s: 3, i: 1, d: 4, j: 2}. What is prob of sequence djsd? 1/70 Four letters picked without replacement from vxxxxxxv. What is prob of sequence xxvv? 1/28 Calculate prob of sequence xk when two letters picked without replacement from {j: 10, k: 5, x: 4}. 10/171 What is prob of sequence kok when three letters picked without replacement from {o: 9, k: 3}? 9/220 Calculate prob of sequence kb when two letters picked without replacement from {b: 7, k: 4}. 14/55 Two letters picked without replacement from xkksswskwwsskbbsk. Give prob of sequence kw. 15/272 Three letters picked without replacement from fof. Give prob of sequence ofo. 0 Four letters picked without replacement from hjjhjhjjjhjjjhjjhj. Give prob of sequence jhjh. 11/204 Four letters picked without replacement from wffffwfffffwwf. What is prob of sequence fwwf? 45/1001 Calculate prob of sequence mw when two letters picked without replacement from wiimmimiiwwwii. 6/91 What is prob of sequence ssu when three letters picked without replacement from {u: 1, f: 4, r: 1, k: 1, s: 8}? 4/195 Three letters picked without replacement from ytyttyyyyyttttytyyt. Give prob of sequence yyy. 40/323 Three letters picked without replacement from {x: 3, r: 3, y: 7, b: 2, s: 3}. Give prob of sequence rxr. 1/272 Four letters picked without replacement from {k: 1, i: 3, e: 4, s: 2, d: 4}. What is prob of sequence sksi? 1/4004 Three letters picked without replacement from unnngujnxxnnunnnxjn. What is prob of sequence gnn? 5/323 Two letters picked without replacement from mshhhsss. Give prob of sequence hh. 3/28 Three letters picked without replacement from mcmccmltvkmkcmc. What is prob of sequence vmt? 1/546 Two letters picked without replacement from {c: 1, d: 3, k: 6, e: 7, n: 2}. What is prob of sequence kd? 1/19 Calculate prob of sequence og when two letters picked without replacement from onggggogggng. 4/33 Calculate prob of sequence vvu when three letters picked without replacement from vuvvuvvvavaua. 21/286 Two letters picked without replacement from {m: 5, i: 1, f: 5}. Give prob of sequence mm. 2/11 Two letters picked without replacement from yeqixqyyytqiixyyy. Give prob of sequence qi. 9/272 Three letters picked without replacement from {d: 1, j: 1, i: 2, y: 2}. Give prob of sequence idy. 1/30 What is prob of sequence lbb when three letters picked without replacement from {l: 1, b: 2, n: 1, t: 1}? 1/30 Four letters picked without replacement from cvcncvvvvc. What is prob of sequence cvvc? 1/21 Three letters picked without replacement from hpfhabh. What is prob of sequence haf? 1/70 What is prob of sequence cbcc when four letters picked without replacement from {c: 3, b: 4}? 1/35 What is prob of sequence bbbe when four letters picked without replacement from {b: 6, e: 1, c: 12}? 5/3876 Four letters picked without replacement from {a: 16, t: 2}. What is prob of sequence taat? 1/153 What is prob of sequence ymm when three letters picked without replacement from {m: 11, p: 4, y: 1, k: 1}? 11/408 Calculate prob of sequence wwc when three letters picked without replacement from nfnfhhycnwnnfnnn. 0 What is prob of sequence ww when two letters picked without replacement from {f: 2, k: 7, a: 1, s: 3, w: 4}? 3/68 What is prob of sequence yr when two letters picked without replacement from rbrbrbrybbb? 2/55 What is prob of sequence rb when two letters picked without replacement from lbryo? 1/20 Calculate prob of sequence fzfy when four letters picked without replacement from zzfzzzzzzyfzyzzzy. 3/2380 Two letters picked without replacement from yyppvyppvy. Give prob of sequence yy. 2/15 Calculate prob of sequence rxr when three letters picked without replacement from {r: 12, x: 1}. 1/13 Two letters picked without replacement from {s: 1, i: 5, r: 2, h: 1}. What is prob of sequence ir? 5/36 What is prob of sequence ggg when three letters picked without replacement from ffffffggffgffff? 1/455 What is prob of sequence zyzy when four letters picked without replacement from zzyyyyzyyzyzzyyyyy? 11/204 What is prob of sequence ro when two letters picked without replacement from {r: 1, a: 2, o: 1, x: 2}? 1/30 What is prob of sequence ees when three letters picked without replacement from ennssmnessnsnsnnns? 7/2448 Calculate prob of sequence sf when two letters picked without replacement from fsufsffsffuusf. 2/13 Calculate prob of sequence texe when four letters picked without replacement from eexteetxx. 1/42 Three letters picked without replacement from {m: 1, k: 1, b: 1, s: 1, d: 1, a: 2}. What is p
{ "pile_set_name": "DM Mathematics" }
Suppose 2*a - 4*z = 7*a - 89, 5*a + 2*z - 87 = 0. Calculate the remainder when i is divided by a. 14 Let j = 16 + -3. Suppose -6*t = q - t + 10, -j = -2*q + t. What is the remainder when q is divided by 3? 2 What is the remainder when 69 is divided by 5/10*6 + 15? 15 Suppose 9*l = 4*l + 25. Suppose s + 20 - l = m, 4*s + 79 = 5*m. What is the remainder when 73 is divided by m? 16 Suppose 4*y - 3*q = 67, -5*y - 2*q - q = -104. Calculate the remainder when 54 is divided by y. 16 Let m(s) = 2*s - 2. What is the remainder when 12 is divided by m(3)? 0 Suppose 5*t - 3*i + 44 = -5*i, 4*t + 49 = 3*i. Suppose -30 = -3*s - 6. What is the remainder when (-8)/20 - 154/t is divided by s? 7 Let g = 9 + 3. Let u = 31 - 28. Suppose 0 = 2*i + a - 65, -47 = -u*i + 4*a + 67. What is the remainder when i is divided by g? 10 Let j(k) = -k**2 - k. Let z be j(-1). Suppose 3*a - 3*i - 9 = z, 4*a = -3*i + 3 + 23. Calculate the remainder when a is divided by ((-1)/(-2)*-2)/(2/(-8)). 1 Suppose -q - 15 = -6*q. Calculate the remainder when 16 is divided by q. 1 Suppose 88 = f - m + 4*m, -2*m = 3*f - 236. Suppose -3*y + 26 + f = 0. What is the remainder when y is divided by 9? 7 Let j(g) = -g**2 + 11*g - 6. What is the remainder when j(10) is divided by 2? 0 Let h be 2*(1060/8)/5. Suppose -h - 51 = -4*j. Calculate the remainder when j is divided by (-43)/(-5) - 4/(-10). 8 Let m(j) = j + 19. Let s be (-1)/1 - 411/3. Let y = -95 - s. Calculate the remainder when y is divided by m(-8). 10 Suppose -2*w - 3*j + 5*j = -14, -j + 65 = 5*w. Let b = 117 - 112. Calculate the remainder when w is divided by b. 2 Let n = 9 + 1. Suppose -2*a - 27 = 5*d - 2, 4*a = 2*d + 10. Suppose -6*o + o + 195 = a. What is the remainder when o is divided by n? 9 Suppose -14 = v - 42. Let s(h) = 10*h. Calculate the remainder when v is divided by s(1). 8 Let h = 18 - 17. Suppose -4*r - 2*o - o + 24 = 0, r - 2*o = 17. What is the remainder when r is divided by (5/2)/(h/2)? 4 Let h(u) = -4*u + 1. Let v be (6/4)/(2/(-4)). Calculate the remainder when h(v) is divided by (1/(-2))/(2/(-28)). 6 Let a(o) = -o**3 + 4*o**2 + 5*o + 1. Calculate the remainder when a(5) is divided by ((-16)/12 + 1)*-3. 0 Let h = 7 + -5. Suppose 3*n - 2*n = h*d - 5, 4*n - 40 = -4*d. Let w = -3 - -6. Calculate the remainder when n is divided by w. 2 Suppose 2*k - t - 46 = 4*t, 5*k + t - 169 = 0. Calculate the remainder when (-2)/3 - (-1705)/k is divided by 14. 9 Suppose 0 = 4*d + 4 + 16, -121 = -2*x + 3*d. Calculate the remainder when x is divided by 11. 9 What is the remainder when (212/9)/2 - (-4)/18 is divided by 5? 2 Suppose -2*c = -3*c + 4*o + 49, 0 = -4*c + o + 136. Calculate the remainder when c is divided by 7. 5 Suppose -3*h + 57 = 5*d, d + 3*h - 24 = -3. What is the remainder when 16 is divided by d? 7 Suppose 3*u + 4 = 43. What is the remainder when u is divided by 7? 6 Let g(s) = -s**2 - 19*s - 15. Let c(l) = 4*l + 1. Let r be c(-4). Calculate the remainder when g(r) is divided by 16. 13 Let j = 2 - -32. Let b = -11 - -20. Calculate the remainder when j is divided by b. 7 Suppose 2*x - 18 - 7 = 5*l, -l = 3*x + 5. Let d(v) = -v + 4. Calculate the remainder when 16 is divided by d(l). 7 Suppose 2*f + 3*f = 90. Let w = 45 + -10. Calculate the remainder when w is divided by f. 17 Suppose 0 = 3*h - 461 + 170. Calculate the remainder when h is divided by 49. 48 Calculate the remainder when 83 is divided by (9/(0 - -3))/((-4)/(-28)). 20 Suppose 0 = -3*b - 47 + 230. Suppose 4*a + 2*c - 84 = 8, -50 = -2*a - 2*c. Calculate the remainder when b is divided by a. 19 Suppose -4*f = -8*f + 60. Let x = -106 - -149. Calculate the remainder when x is divided by f. 13 Let g = -7 + 57. Suppose -b = 4*v - g, -2*b + 0*b + 89 = -3*v. What is the remainder when b is divided by 16? 14 Suppose 3*i - 2*d + d + 1 = 0, 5*d = 3*i + 17. Suppose -29 = -4*n - i. Let p = -26 + 39. What is the remainder when p is divided by n? 6 Let f = 18 - -9. Let g(u) = -4*u - 1 - 5 + 1 + u. Calculate the remainder when f is divided by g(-5). 7 Let j = 19 + -18. Suppose 4*t - 4 = 0, -2*t = -k + 2*t + 6. What is the remainder when (j + 1)/(2/37) is divided by k? 7 Suppose 4*q = 5*o - 130, o - 3*q + 78 = 4*o. Suppose 0 = k + 2*v - o, v + 2*v - 15 = 0. Suppose -47 = -4*g - 11. What is the remainder when k is divided by g? 7 What is the remainder when 1157/26 + 2 + 3/(-2) is divided by 16? 13 Let u = -9 - 27. Let y be (-380)/(-7) + (-2)/7. Let v = y + u. Calculate the remainder when v is divided by 10. 8 Let k be (-1614)/(-15) + (-6)/(-15). Suppose 0 = -4*f + k + 8. What is the remainder when f is divided by 16? 13 Suppose 4*p - 60 = -p. Suppose -3*u + 17 = -121. What is the remainder when u is divided by p? 10 Let y(g) = g**2 - 12*g + 11. Let l be y(8). Let s = l - -36. Let q = s + 4. What is the remainder when q is divided by 10? 9 Let y be -1*(1 + -8 + -2). Suppose 2*w = 37 - y. Suppose 2*j - w = 4. What is the remainder when 26 is divided by j? 8 Let b = 1 + 11. Suppose 2*v = -4, -f + 2*v = -11 - 0. What is the remainder when b is divided by f? 5 Let n(q) = -4*q + 12. What is the remainder when 63 is divided by n(1)? 7 Let s = -84 - -130. Suppose -5*n + 8 + 56 = 2*u, 0 = -2*u + 4. What is the remainder when s is divided by n? 10 Let s(o) be the third derivative of -o**4/24 - 3*o**3/2 - o**2. Let j be s(-5). Calculate the remainder when j/(-16) + 142/8 is divided by 10. 8 Let t(z) = -z + 13. Let h be t(10). Suppose 11 = h*w - 2*w. What is the remainder when w is divided by 4? 3 Suppose 5*i - 71 = 2*v, -5 = -i + 6*v - v. Let p(k) = -k**3 - k**2 + 5*k + 3. What is the remainder when i is divided by p(-3)? 3 Let w(j) = -j - 3. Let g be w(-4). Suppose -2*v - 5*o + g = -8, 0 = 3*v - 3*o - 45. Let s = v - -18. What is the remainder when s is divided by 16? 14 Let q(r) = -r**3 - 11*r**2 + 10*r + 21. Calculate the remainder when q(-12) is divided by 25. 20 Let v = 134 - 94. Suppose 7*w + 38 - 185 = 0. Calculate the remainder when v is divided by w. 19 Suppose 5*w - 36 - 44 = 0. Calculate the remainder when w is divided by 9. 7 Let z(b) = b**3 - 5*b**2 - b - 14. What is the remainder when z(6) is divided by 12? 4 Suppose 5*r + i - 38 = 0, 0 = -3*r - 0*i + i + 26. Calculate the remainder when 27 is divided by r. 3 Let t(k) = 3*k**2 - 1. Calculate the remainder when t(6) is divided by 36. 35 Suppose o - 4*o - 213 = 0. Let k = 106 + o. What is the remainder when k is divided by 18? 17 What is the remainder when (5 + 116/4)*3/2 is divided by 28? 23 Suppose 2*p - 5*j - 97 = 0, 5*p - 260 = -9*j + 4*j. Calculate the remainder when p is divided by 18. 15 Suppose -5*y + 71 = 26. What is the remainder when 32 is divided by y? 5 Let h(q) = q**3 + 2*q**2 - 3*q + 4. Let u be h(-3). Suppose -36 + 96 = u*o. Calculate the remainder when 2 + 5/(15/81) is divided by o. 14 Let x(g) be the second derivative of g**4/12 + 5*g**3/6 + 5*g**2/2 - 2*g. Let i = 0 + -6. Calculate the remainder when 21 is divided by x(i). 10 Let u(x) = -x + 42. Let d = 17 - -5. What is the remainder when u(0) is divided by d? 20 Suppose -4*v + z + 3*z - 8 = 0, 11 = 2*v + z. What is the remainder when 177*(-2)/(-18)*v is divided by 15? 14 Suppose 4*c - 33 + 101 = 0. Let j = c - -22. Calculate the remainder when j is divided by 4. 1 Let f(t) = -t**3 + 10*t**2 + t + 10. Suppose 16*s + 551 = 1799. Calculate the remainder when s is divided by f(10). 18 Suppose 0 = 2*j - 2*p - 8, j + p + 16 = 5*j. Suppose 0 = 5*t + j*z - 60, 2*t - 2*z = 7*t - 50. Calculate the remainder when t is divided by 3. 2 Suppose 2*t - 136 = -2*u, 5*t + 194 = 3*u + 6*t. Suppose 0 = 4*w - y - u, y = 3*w + 2*y - 56. What is the remainder when w is divided by 6? 5 Suppose -2*h = -2*k + 2*h + 28, 3*h + 49 = 5*k. Calculate the remainder when 37 is divided by k. 5 Suppose 2*b - b = 148. Suppose 5*j - b = j. Calculate the remainder when j is divided by 13. 11 Let s = 9 - -16. Suppose -3*h = 4*v - 46, 3*v - 5*h - 1 - 48 = 0. Calculate the remainder when s is divided by v. 12 Suppose 4*k + 11*d = 8*d + 139, k = 2*d + 21. Calculate the remainder when 147 is divided by k. 23 Suppose 3*f - h + 18 = 5*f, 4*h = 5*f - 58. What is the remainder when f is divided by 7? 3 Let t = 84 + -50. What is the remainder when t is divided by 18? 16 Let y = -4 + 43. What is the rem
{ "pile_set_name": "DM Mathematics" }
3*v + 27*h**3*x - 9726281*h**3 + 718*h**2*v*x - 27*h**2*v - 25*h**2*x + h*v*x + h*x + v + 2*x wrt h. -12*v + 162*x - 58357686 What is the second derivative of 7*b*v**2 + 2*b*v + 282739*v**2 + 1948742*v wrt v? 14*b + 565478 What is the third derivative of 533902775*b**3 + 670108886*b**2? 3203416650 Find the third derivative of 14075423*d**4 - 113*d**2 - 584*d + 130 wrt d. 337810152*d What is the derivative of 622498238*u**3 - 293226035 wrt u? 1867494714*u**2 What is the derivative of 3*r**3 + 2*r**2 + 4320868*r + 14352715? 9*r**2 + 4*r + 4320868 What is the derivative of -2565*m*o - 9*m*q + 3494*m - 515637*o*q + o wrt q? -9*m - 515637*o What is the first derivative of -174306*o**2 - 114*o + 27890512? -348612*o - 114 Differentiate -15647954*i**3 + 2261787 wrt i. -46943862*i**2 What is the second derivative of 14140941*d**3*h**3*n**2 + d**3*h**2*n*u + 115*d**3*h**2*n - 155*d**3*h**2*u + d*h*n**2*u - 154*h**3*n*u wrt n? 28281882*d**3*h**3 + 2*d*h*u What is the second derivative of 44*l**3*w**3 - 2703571*l**3*w + 2*l**3 - 577092*w**3 wrt w? 264*l**3*w - 3462552*w Find the third derivative of -9891626*f**4 - 7852185*f**2. -237399024*f What is the second derivative of -10748*c**2*p**2*q + 10*c**2*p*q - 13*c**2*p + 14*c*p**2*q + 9*c*p*q - 22*c*q + p**2*q + 2*q wrt p? -21496*c**2*q + 28*c*q + 2*q Find the second derivative of 614009345*q**2 + 382995303*q wrt q. 1228018690 Differentiate 7*a**2*p**2 + 512*a**2*p + a**2 + 579*a*p - 149437*a + 12 with respect to p. 14*a**2*p + 512*a**2 + 579*a Find the third derivative of 8*u**4*y**2 + 555*u**3*y - 29214*u**3 + 543096*u**2*y + 285*u*y**2 wrt u. 192*u*y**2 + 3330*y - 175284 Find the third derivative of 2*g**6 + 5383061*g**3 - 5*g**2 + 6913*g - 16 wrt g. 240*g**3 + 32298366 What is the second derivative of -37172756*x**2 + 91537750*x wrt x? -74345512 Find the first derivative of -79497759*f - 101567396. -79497759 What is the second derivative of 724*h**3*p**2 + 426160*h**3*p - 3*h**3 + 41*h**2*p**2 - 2*h*p**2 + 32*p**2 + p wrt p? 1448*h**3 + 82*h**2 - 4*h + 64 What is the second derivative of -262334226*i**3 - 10*i + 1015675 wrt i? -1574005356*i Find the third derivative of -495755206*l**6 - 11819*l**2 + 6684. -59490624720*l**3 Find the second derivative of 131346531*u**2 + 4*u + 1312072 wrt u. 262693062 What is the third derivative of -81606*w**5 - 5*w**3 + 4*w**2 + 5*w + 175839? -4896360*w**2 - 30 What is the third derivative of -1005*j*y**5 - 4*j*y**3 - 9981822*j*y**2 + 2*j - 1938*y**3 wrt y? -60300*j*y**2 - 24*j - 11628 Differentiate 7263761*l**2 - 7868503. 14527522*l What is the first derivative of -742501*g**2*t**4 - 1334316*g**2 - 7*g*t**4 - g - 1 wrt t? -2970004*g**2*t**3 - 28*g*t**3 What is the third derivative of -44509*z**4 - 66*z**3 + 29512008*z**2 wrt z? -1068216*z - 396 What is the third derivative of -117*q**5 - 86*q**4 + 43*q**3 + 5*q**2 - 3*q - 141682? -7020*q**2 - 2064*q + 258 Find the second derivative of 37*c*h**2 + 2806*c*h + 1261*c + 98243*h**2 + h + 4 wrt h. 74*c + 196486 What is the first derivative of -30*s**3 - 1401*s**2 + 24334095? -90*s**2 - 2802*s What is the third derivative of 1246304149*n**5 - 2881171*n**2 - 1 wrt n? 74778248940*n**2 Find the second derivative of -3*o**3*y - 33*o**3 + 2989*o**2*y + 9*o**2 + 2429*o*y + 64*o - y + 4 wrt o. -18*o*y - 198*o + 5978*y + 18 What is the first derivative of 829*g**3 + 24*g**2 - 5124*g + 431653417 wrt g? 2487*g**2 + 48*g - 5124 What is the second derivative of 196859136*j**3 - 166195*j + 166 wrt j? 1181154816*j What is the second derivative of d**3 - 1063061*d**2*f - 3*d*f - 25611*f + 10 wrt d? 6*d - 2126122*f Find the third derivative of -326*r**4*u - 229*r**4 + 7*r**3*u + r**3 - 4*r**2*u - 3*r - 787*u + 3 wrt r. -7824*r*u - 5496*r + 42*u + 6 Find the third derivative of 41758374*r**3 + 71559430*r**2. 250550244 What is the third derivative of 6866945*b*h**3 + 46353*b*h**2 + 688*b*h wrt h? 41201670*b Find the second derivative of 126325876*n**5 + 68226320*n. 2526517520*n**3 Differentiate 318197438*r - 166006479 wrt r. 318197438 Differentiate -189647157*x**4 - 297284912 with respect to x. -758588628*x**3 Find the second derivative of -11919208*u**3 - 48299546*u wrt u. -71515248*u What is the first derivative of -30642651*z**3 - 38393539? -91927953*z**2 Find the third derivative of -716292290*j**3*r**2 - 17*j**2*r**2 + 14*j**2*r - 88*j**2 + j*r**2 - 2*r + 6 wrt j. -4297753740*r**2 What is the second derivative of -622*l**5 + 69*l**4 - 69*l - 93896? -12440*l**3 + 828*l**2 What is the third derivative of 85130434*d**4 + 131714*d**2 + 29*d wrt d? 2043130416*d What is the derivative of 28387800*b + 99820599? 28387800 What is the derivative of -97*l**3 - 13*l**2 - 48699*l - 363994467? -291*l**2 - 26*l - 48699 What is the second derivative of -1351081*p**3 - 3*p**2 + 22852682*p + 2? -8106486*p - 6 What is the derivative of 140597714*r*u - 776637587*r wrt u? 140597714*r What is the second derivative of 5611818*a**2*l**2*w - a**2*l + 24*a*l**2*w + 2188*a*w + 180*a - 2*l + 3*w wrt l? 11223636*a**2*w + 48*a*w Differentiate 26416292*z - 242975277 with respect to z. 26416292 What is the first derivative of 757308*d**3 + d + 6905426 wrt d? 2271924*d**2 + 1 Find the third derivative of 576601632*n**5 - 1022317*n**2 - 135*n wrt n. 34596097920*n**2 Differentiate 2*w**3 + 2777597*w + 1208615765 wrt w. 6*w**2 + 2777597 Differentiate 3*h**3 - 68*h**2*r - 4009*h*r - 107*r + 19105 wrt h. 9*h**2 - 136*h*r - 4009*r What is the second derivative of 14530534*k**5 - 2*k + 659263 wrt k? 290610680*k**3 Differentiate -972859*h**2 - 10*h + 122494338 with respect to h. -1945718*h - 10 What is the second derivative of -119923752*q**3 + 210*q - 100616 wrt q? -719542512*q Find the second derivative of 126957*p**5 + p**3*s - 31*p*s - 12933*p wrt p. 2539140*p**3 + 6*p*s Find the first derivative of 10*a**2 + 77625*a + 9061160 wrt a. 20*a + 77625 Find the first derivative of 42*g*t**3 - g*t**2 - 51*g*t + 2485*g + 43797346*t**3 wrt g. 42*t**3 - t**2 - 51*t + 2485 What is the derivative of 37406977*j + 21350835? 37406977 Find the third derivative of 148894273*h**3 + 664*h**2 + 71645*h + 1. 893365638 What is the first derivative of q**3 - 6820924*q**2 + 14742911? 3*q**2 - 13641848*q Find the second derivative of -470105362*h**2 + 1902183*h - 146 wrt h. -940210724 What is the second derivative of 609*y**4 - 4059*y**2 + 3805700*y? 7308*y**2 - 8118 Differentiate -3*a*c**2 + 655*a*c + 16231581*a - 14*c**2 + 24*c wrt c. -6*a*c + 655*a - 28*c + 24 What is the third derivative of -22505705*h**3*r**4 + 3796*h**3*r**2 - h**3*r + 282*h*r**2 - 3*h*r - r**5 wrt r? -540136920*h**3*r - 60*r**2 What is the derivative of 14808511*n**2 + 29119978 wrt n? 29617022*n Differentiate 366251610*s - 209491172. 366251610 What is the first derivative of -184173663*l**4 + 109840826 wrt l? -736694652*l**3 What is the first derivative of 17*v**3 - 4*v**2 - 17810*v - 11063197? 51*v**2 - 8*v - 17810 What is the second derivative of 9109913*z**2 - 3888*z + 7? 18219826 Find the third derivative of -9*f*j*p**3 + 107904*f*j*p**2 + 4578329*j*p**4 - 104*j*p**2 - 2*j*p wrt p. -54*f*j + 109879896*j*p Differentiate 294828550*z + 58004804 wrt z. 294828550 Find the third derivative of -234078*b**4 + 26*b**3 + 2*b**2 + 3051435*b wrt b. -5617872*b + 156 What is the second derivative of -26895444*u**2*x**3 + 9925465*u**2*x wrt x? -161372664*u**2*x What is the derivative of -86097154*c**2 - c - 159801429? -172194308*c - 1 Find the first derivative of 17537646*q**2 - 5*q - 211191352 wrt q. 35075292*q - 5 What is the first derivative of 21*v**2 + 136794*v - 7824998? 42*v + 136794 What is the third derivative of -141*w**5 + 604373*w**3 - 808723949*w**2 wrt w? -8460*w**2 + 3626238 Differentiate 20162511*h**3 - 4893155. 60487533*h**2 Find the second derivative of -24486475*j**4 - 36334769*j wrt j. -293837700*j**2 Find the first derivative of 7*z**4 - 126*z**3 - 2*z**2 + 444*z + 2655052. 28*z**3 - 378*z**2 - 4*z + 444 Find the second derivative of 11421813*t**4 - 419435*t - 42 wrt t. 137061756*t**2 Find the second derivative of -34932967*k**3 + 1736051*k wrt k. -209597802*k Find the third derivative of 9*h**6 - 3*h**5 - 126644*h**3 + 26*h**2 + 296*h + 264. 1080*h**3 - 180*h**2 - 759864 Find the second derivative of 18*v**3 -
{ "pile_set_name": "DM Mathematics" }
e 16) to base 9. -1465477 Convert -32235867 (base 9) to base 13. -32b7809 Convert -155121 (base 10) to base 5. -14430441 -11001101010110011111 (base 2) to base 9 -1521716 What is 27381a (base 14) in base 11? 845629 What is -10101111001010000011010 (base 2) in base 14? -a95958 Convert -450948 (base 10) to base 5. -103412243 Convert -103233002020 (base 4) to base 2. -10011101111000010001000 What is -1b6b4 (base 15) in base 13? -3182b -31b0a5a (base 12) to base 5 -4403431030 -143d1 (base 14) to base 8 -141763 What is -1606864 (base 11) in base 4? -22132220023 Convert 29559 (base 13) to base 9. 127660 What is -104100550 (base 7) in base 13? -13abbc4 Convert 12200011122021 (base 3) to base 11. 177a141 Convert 34007 (base 14) to base 11. 86926 Convert -40b33 (base 12) to base 3. -11022000010 What is -313222034 (base 5) in base 14? -25d64c What is 20020112012211 (base 3) in base 11? 1966212 What is 633330 (base 7) in base 8? 325272 Convert -1113013214 (base 5) to base 12. -9b1355 Convert -2343031413 (base 5) to base 8. -24600170 Convert -42144646 (base 7) to base 13. -9773a1 Convert -220222121121 (base 3) to base 10. -491794 What is 1aff9d (base 16) in base 13? 49c488 What is 1215303 (base 6) in base 15? 14280 Convert 1510e5 (base 15) to base 16. f811a 220400304 (base 5) to base 8 3477477 What is 143023233 (base 5) in base 12? 303011 Convert -1002120220212 (base 3) to base 7. -4643666 9058602 (base 10) to base 11 5127953 -1252221443 (base 6) to base 5 -12311322301 What is -11023015 (base 7) in base 6? -32144231 Convert -16a8466 (base 14) to base 11. -6335306 What is -1000110001001001100 (base 2) in base 9? -477101 -457565 (base 8) to base 7 -1215244 b1641 (base 15) to base 4 2021013331 What is -1000111100000100000011 (base 2) in base 13? -6406bc Convert 1888268 (base 10) to base 15. 274748 5a1a (base 14) to base 3 210112122 Convert -1120021011 (base 3) to base 9. -46234 Convert 474862 (base 9) to base 11. 185757 -111000000100110001001 (base 2) to base 9 -3410450 Convert 1411505 (base 9) to base 7. 6406313 What is b736 (base 12) in base 13? 918c -20245 (base 16) to base 10 -131653 -330402002 (base 5) to base 8 -5323372 Convert 20968 (base 12) to base 15. ca68 Convert 3205498 (base 10) to base 2. 1100001110100101111010 What is 313aa (base 12) in base 11? 44505 What is 1111011011101101 (base 2) in base 14? 19073 -18c61b (base 16) to base 11 -a09901 What is -b6a98a (base 14) in base 13? -1383092 6022506 (base 7) to base 16 adbd1 -8448a (base 13) to base 16 -3a1f2 20bc71 (base 16) to base 4 20023301301 12242421 (base 5) to base 3 20000112101 Convert ba6a4 (base 15) to base 14. 115b0d Convert -22201223223 (base 4) to base 9. -5165163 What is -1633352 (base 8) in base 3? -220000120111 1052115 (base 6) to base 16 d16f Convert 5cc31 (base 15) to base 11. 192739 -604126 (base 7) to base 3 -12012022021 312330100 (base 4) to base 7 1625044 What is -22b225 (base 12) in base 7? -4514111 -42040613 (base 8) to base 9 -17720181 Convert -15132311 (base 6) to base 4. -2000101303 -49409 (base 10) to base 13 -19649 Convert -10001111111001010110011 (base 2) to base 7. -55035621 Convert 5510544 (base 6) to base 15. 56144 Convert -410020 (base 13) to base 10. -1513759 4136222 (base 7) to base 14 cd082 100213322 (base 4) to base 15 15295 What is 100000111001110111 (base 2) in base 12? 65bb3 What is 58036 (base 14) in base 2? 110100010001000000 14613566 (base 8) to base 7 40313634 What is -3c4f7 (base 16) in base 14? -66051 What is 57006 (base 9) in base 11? 26538 -89187 (base 11) to base 9 -216352 -2d12b (base 14) to base 15 -2360e What is b81414 (base 12) in base 15? 3c5caa What is 3613a (base 14) in base 16? 20378 Convert 2822b2 (base 12) to base 14. 135338 What is 106312002 (base 7) in base 3? 110021110112020 132232043 (base 5) to base 13 1a36aa What is -212a1a (base 11) in base 12? -145164 -4042441 (base 5) to base 8 -177533 Convert 186657 (base 9) to base 8. 343341 What is -646047 (base 8) in base 14? -58a7d Convert 2112413012 (base 5) to base 15. 5c4857 Convert -10010110100011001011001 (base 2) to base 5. -2230330314 Convert c259 (base 15) to base 7. 230430 Convert 4557510 (base 8) to base 10. 1236808 What is 1101111011011101110101 (base 2) in base 5? 1413321240 38ee (base 15) to base 6 132125 Convert 170d313 (base 14) to base 2. 101011001110010000010101 Convert -262231 (base 8) to base 15. -1c0ae -1b9255 (base 12) to base 2 -1111000010100100001 2306311 (base 7) to base 13 a1098 -44421423 (base 5) to base 11 -246286 -110000111010111100101 (base 2) to base 14 -2da2b3 Convert 227654 (base 12) to base 7. 4456540 What is 2562636 (base 7) in base 13? b9499 23110202 (base 4) to base 5 2440440 Convert -1342357 (base 9) to base 6. -23442041 Convert -1196427 (base 10) to base 5. -301241202 -10110102021222 (base 3) to base 12 -748115 5011236 (base 7) to base 10 591114 Convert -40654561 (base 8) to base 9. -17170100 What is 1b89240 (base 14) in base 8? 64436230 What is -10110001001000101011 (base 2) in base 3? -1100212021010 332025 (base 6) to base 3 1101221122 Convert -100111000000010001101 (base 2) to base 10. -1278093 Convert -1167601 (base 9) to base 11. -3a4469 Convert -22112021221 (base 3) to base 7. -1266313 3306422 (base 8) to base 10 888082 4442422044 (base 5) to base 11 5548417 124930 (base 13) to base 3 211021212111 What is -1035001 (base 6) in base 14? -14b57 Convert -75683 (base 10) to base 16. -127a3 Convert 737546 (base 8) to base 6. 5133022 Convert -145228 (base 10) to base 11. -9a126 What is 1445497 (base 14) in base 9? 20471421 What is 1010101101111111000111 (base 2) in base 11? 164a053 Convert 25400165 (base 7) to base 11. 1333023 What is -50429 (base 13) in base 7? -1135262 40211102 (base 5) to base 3 121020022100 -222202010021 (base 3) to base 15 -a5ea1 -21331021332 (base 4) to base 7 -31116501 3f6b51 (base 16) to base 5 2030444431 Convert 223110110032 (base 4) to base 12. 39774ba What is -129b46 (base 13) in base 10? -450105 112212210002 (base 3) to base 11 190071 What is -4235004 (base 6) in base 15? -4159d 6b2a65 (base 12) to base 2 110100101011001101101 What is 20055 (base 7) in base 3? 20122100 What is -21b750 (base 12) in base 4? -2003131230 What is 110132021202 (base 4) in base 11? 3035919 -19240 (base 15) to base 10 -81510 103647 (base 10) to base 2 11001010011011111 What is 614348 (base 9) in base 6? 11445242 Convert 404979 (base 10) to base 8. 1426763 -2022012313 (base 4) to base 10 -565687 Convert -19a722 (base 14) to base 2. -11011110110000011010 -e4f38 (base 16) to base 8 -3447470 Convert 13146443 (base 7) to base 8. 4461702 Convert 10032135 (base 6) to base 3. 112110000012 What is -26b71 (base 12) in base 6? -1051421 112bd1 (base 15) to base 7 6651661 Convert b82c (base 16) to base 4. 23200230 Convert 11121114 (base 5) to base 3. 11222211011 1100010101000010011011 (base 2) to base 6 153134255 25350212 (base 6) to base 11 5123a9 Convert -1016609 (base 10) to base 11. -634880 -1196f3 (base 16) to base 6 -40412455 What is -1537 (base 8) in base 4? -31133 What is -172132 (base 10) in base 14? -46a32 Convert 32230203131 (base 4) to base 16. 3ac8dd What is -33766 (base 14) in base 5? -12444232 -27a603 (base 15) to base 7 -22135230 4069c (base 13) to base 6 2250111 -1013023221222 (base 4) to base 10 -18659946 What is -179961 (base 10) in base 12? -88189 131104521 (base 6) to base 9 4754104 Convert -7aa7e (base 15) to base 7. -3214316 506805 (base 9) to base 4 1021103300 What is 745341 (base 8) in base 10? 248545 114500542 (base 6) to base 11 1262902 Convert 25358 (base 11) to base 9. 54783 Convert 13734 (base 8) to base 13. 2a1b Convert 1013012341 (base 5) to base 16. 1fb978 -204242311 (base 5) to base 11 -532821 What is acd6 (base 14) in base 8? 72434 -b043 (base 13) to base 8 -57236 What is 331212020 (base 6) in base 16? 5aad4c Convert -223345 (base 8) to base 4. -102123211 Convert 100011001110111 (base 2) to base 10. 18039 -10861076 (base 9) to base 8 -24146645 1001002102010 (base 3) to base 9 1032363 Convert -2a2aaa (base 15) to base 13. -562b5b Convert 400411244 (base 5) to base 10. 1575824 51a485 (base 11) to base 14 179bdd Convert -171c1 (base 15) to base 11. -510aa -6424205 (base 8) to base 11 -a70a93 -267714 (base 11) to base 14 -ad171 Co
{ "pile_set_name": "DM Mathematics" }
r x(k). -2*(k - 5)**2*(k - 1)**3/13 Let y(j) be the first derivative of -j**8/420 + j**7/105 - j**6/90 + 2*j**3/3 + 11*j**2 - 48. Let r(p) be the third derivative of y(p). Solve r(q) = 0 for q. 0, 1 Suppose 0 - 21*u + 6*u**2 - 3/7*u**3 = 0. What is u? 0, 7 Let b(l) be the first derivative of l**4/34 + 26*l**3/17 - 40*l**2/17 + 254. Let b(y) = 0. What is y? -40, 0, 1 Let i(u) be the first derivative of -u**6/30 - 3*u**5/20 - u**4/4 - u**3/6 - 22*u + 18. Let f(d) be the first derivative of i(d). Let f(q) = 0. Calculate q. -1, 0 Suppose -d = -3*q + 118, -5*q - 7*d = -5*d - 193. Let r be q/(-6)*26/(-91). Let r*a**2 + 17/7*a**4 + 2/7*a + 4/7*a**5 + 24/7*a**3 + 0 = 0. What is a? -2, -1, -1/4, 0 Let a be 450/442 - (-12 + (-8007)/(-663)). Factor -a*r + 6/17 + 10/17*r**2. 2*(r - 1)*(5*r - 3)/17 Solve -2/7*q**2 - 18/7*q - 40/7 = 0. -5, -4 Let s = -1 + 9. Let k(b) be the first derivative of -s*b - 4 + 4*b**2 - 2/3*b**3. Suppose k(t) = 0. Calculate t. 2 Let v(m) = -2*m + 25. Let f be v(8). Determine x, given that 33 - 33 + 6*x - 3*x**4 + f*x**2 = 0. -1, 0, 2 Suppose -20 - 2*z**3 + 20*z**2 - 5*z - 7*z**3 + 14*z**3 = 0. What is z? -4, -1, 1 Suppose 272 - 290 = -9*x. Solve 2/11*b - 2/11*b**3 - 6/11*b**x + 2/11*b**4 + 4/11 = 0. -1, 1, 2 Factor 168*q**2 + 54*q - 20 + 58*q + 244*q**2 + 102*q**2 - 382*q**2. 4*(q + 1)*(33*q - 5) Let i(v) = -v**3 + v**2 + 16*v - 25. Let c be i(3). Factor 0 + 0*p**3 + 4/17*p**4 - 2/17*p**c - 4/17*p**2 + 2/17*p. -2*p*(p - 1)**3*(p + 1)/17 Let w(n) be the third derivative of -n**7/42 + 15*n**6/8 - 18*n**2. Factor w(d). -5*d**3*(d - 45) Let o(n) = -n**3 + n**2 + n - 1. Let k(b) = 12*b**3 - 27*b**2 - 36*b + 51. Let p(a) = -k(a) - 9*o(a). Find l such that p(l) = 0. -2, 1, 7 Suppose -29*w = 101*w - 38*w - 368. Let 11*c**2 - 7/4*c**5 + 0 + 1/4*c**3 - 3*c - 13/2*c**w = 0. What is c? -3, -2, 0, 2/7, 1 Factor -16/9*s - 10/9*s**2 - 8/9 - 2/9*s**3. -2*(s + 1)*(s + 2)**2/9 Let p(c) be the first derivative of -1/15*c**6 + 8/5*c + 44 + 14/25*c**5 - 19/10*c**4 - 16/5*c**2 + 10/3*c**3. Let p(v) = 0. Calculate v. 1, 2 Let u = -61 + 78. Determine x so that 0*x + u*x - 3*x**2 - 7*x - 27 + 8*x = 0. 3 Let x(a) be the first derivative of -1/2*a**2 - 1/12*a**3 + 1 - a. Factor x(j). -(j + 2)**2/4 Let l(y) = -8*y - 14. Let v be l(-2). Let z(i) be the second derivative of i**v + 0 + 1/5*i**5 - 4*i + 0*i**4 - 2/3*i**3 - 1/15*i**6. Factor z(m). -2*(m - 1)**3*(m + 1) Let i(m) be the third derivative of 5*m**8/336 - 5*m**7/42 + 3*m**6/8 - 7*m**5/12 + 5*m**4/12 - 3*m**2 - 12. Determine k, given that i(k) = 0. 0, 1, 2 Let c(u) be the second derivative of 0 - 1/100*u**5 + 1/30*u**4 + 0*u**2 - 6*u - 1/30*u**3. Factor c(w). -w*(w - 1)**2/5 Let r be ((-4)/11)/((-8)/44). Factor 2/15*s**4 - 2/5*s**3 + 0 - 2/15*s + 2/5*s**r. 2*s*(s - 1)**3/15 Let t(r) be the second derivative of -r**6/15 + 4*r**5/5 - 5*r**4/2 - 4*r**3/3 + 20*r**2 + 46*r. Solve t(m) = 0. -1, 2, 5 Let b be (-2 - (-17)/8) + 51/204. Factor -3/8*d**4 + b*d**5 + 0 + 15/8*d**2 - 3/4*d - 9/8*d**3. 3*d*(d - 1)**3*(d + 2)/8 Suppose -5*z - 4 = -c, -z + 4 = c + z. Let n = -59 + 71. Determine g, given that 24*g**3 - 17*g**c - 2 - n*g - 1 + 6*g**2 - 12*g**5 + 14*g**4 = 0. -1, -1/4, 1 Let v(y) be the first derivative of y**4/7 + 4*y**3/7 + 4*y**2/7 - 118. Let v(u) = 0. What is u? -2, -1, 0 Let y = -4/1115 + 781/31220. Let n(a) be the second derivative of y*a**5 + a - 9/14*a**2 + 3/28*a**4 - 1/14*a**3 + 0. Suppose n(b) = 0. Calculate b. -3, -1, 1 Factor 0 - 1/7*j**5 + 36/7*j**2 + 32/7*j**3 + 5/7*j**4 + 0*j. -j**2*(j - 9)*(j + 2)**2/7 Factor 4*v**3 + 52*v**2 + 36*v + 35*v + 39*v + 30*v - 196. 4*(v - 1)*(v + 7)**2 Let q(l) be the first derivative of 2*l**5/5 + 4*l**4 + 12*l**3 - 54*l - 40. Factor q(s). 2*(s - 1)*(s + 3)**3 Suppose 0 = 5*p + 5*f, -127 + 106 = -3*p + 4*f. Let r(n) be the first derivative of 0*n**p - 1/8*n**4 + 14 + 1/24*n**6 + 0*n + 1/8*n**2 + 0*n**5. Factor r(x). x*(x - 1)**2*(x + 1)**2/4 Let y be (-55)/(-255) + (415/(-85) - -5). Let r(p) be the first derivative of -4/3*p**3 + 0*p**4 + y*p**6 - 2 + 0*p + 4/5*p**5 - p**2. Factor r(v). 2*v*(v - 1)*(v + 1)**3 Let b(z) be the third derivative of 0 - 7/2*z**3 - 1/40*z**6 + 7/20*z**5 + 1/8*z**4 + 0*z + 3*z**2. Solve b(u) = 0. -1, 1, 7 Determine a so that -91*a + 1/4*a**2 + 8281 = 0. 182 Let q = -58 - -1857/32. Let x(m) be the first derivative of 15/16*m**2 - 9/8*m + 3 + q*m**4 - 7/24*m**3. Factor x(u). (u - 3)**2*(u - 1)/8 Let g be (-7 + 1)/(-3) - -1. Factor c**4 - 4*c**4 - c**4 + 4*c**g + 2*c**4. -2*c**3*(c - 2) Let v = -21 + 25. Factor 13*q**3 + 4*q**v + 12*q**2 - q**3 + 4*q + 0*q**3. 4*q*(q + 1)**3 Suppose 4*n**2 - 80*n - 98*n**3 + 42*n + 38*n = 0. What is n? 0, 2/49 Let c be 6/(-10) - (-2044)/2940. Let f(o) be the second derivative of -8/15*o**6 + 2/3*o**4 - 4*o + c*o**7 + 4/5*o**5 + 0 + 4*o**2 - 10/3*o**3. Factor f(i). 4*(i - 2)*(i - 1)**3*(i + 1) Let j(b) = 5*b**4 - 419*b**3 + 9246*b**2 - 8808*b - 6. Let k(t) = 80*t**4 - 6705*t**3 + 147935*t**2 - 140930*t - 95. Let r(l) = 95*j(l) - 6*k(l). Factor r(y). -5*y*(y - 42)**2*(y - 1) Let -38/3*l - 32/9*l**2 + 0 + 2/9*l**3 = 0. What is l? -3, 0, 19 Suppose 3*a = -3*n + 24, 0*a - 15 = -5*a. Let d(l) be the first derivative of 0*l**3 + 1/12*l**4 + 2/3*l + n - 1/2*l**2. Solve d(v) = 0. -2, 1 Let i(d) be the third derivative of 0 + 9*d**2 + 0*d**4 + 0*d**3 - 1/40*d**6 + 1/30*d**5 + 0*d - 1/42*d**7. Factor i(v). -v**2*(v + 1)*(5*v - 2) Let c(x) be the third derivative of -x**5/30 + 2*x**4/3 - 13*x**2 - 3*x. Factor c(f). -2*f*(f - 8) Let s be (-4)/(-12)*(0/(-2) + -3). Let h be (-1)/(6/(-4)) - (1 + s). Find j, given that h*j - 1 + 1/3*j**2 = 0. -3, 1 Suppose 43*c = 46*c - 6. Solve 9/4*s + 3/8*s**c + 27/8 = 0 for s. -3 Let z be 60/(-9)*(-6)/(-4). Let o(q) = q**4 - q**2 - 1. Let a(g) = -8*g**4 + 8*g**3 + 14*g**2 - 8*g + 4. Let f(k) = z*o(k) - a(k). Factor f(m). -2*(m - 1)*(m + 1)**2*(m + 3) Let p(u) be the second derivative of u**4/48 + u**3/4 + 5*u**2/8 - 5*u - 10. Factor p(i). (i + 1)*(i + 5)/4 Let l(g) = 0*g - 2*g + 3 + 1 + 3*g. Let w be l(-2). Solve -32*c**2 - 8 + 30*c**3 - 32*c**w + 44*c - 2*c**3 = 0. 2/7, 1 Let r(h) = 14*h + 33. Let t be r(-3). Let m be 6 - (-3)/9*t. Let -13/7*z - 2/7 - 24/7*z**2 - 9/7*z**m = 0. Calculate z. -2, -1/3 Let t(a) = a**5 - 9*a**4 + 5*a**3 + 9*a**2 + 9. Let p(l) = l**4 - l**3 - l**2 - 1. Let n(j) = -36*p(j) - 4*t(j). Factor n(b). -4*b**3*(b - 2)*(b + 2) Let c(r) be the second derivative of -5*r**7/294 - 6*r**6/35 - 22*r**5/35 - 16*r**4/21 + 8*r**3/7 + 32*r**2/7 - 319*r. Factor c(p). -(p + 2)**4*(5*p - 4)/7 Let -9*l**3 + 144*l + 27/4*l**4 - 3/4*l**5 - 108 - 48*l**2 = 0. Calculate l. -3, 2, 6 Let d(m) be the first derivative of m**4/8 + 5*m**3/6 + 2*m**2 + 2*m + 83. Determine q, given that d(q) = 0. -2, -1 Suppose 7*l = -10*l + 51. Let r(b) be the first derivative of -5*b**4 - 2*b - 3*b**6 + 4*b**3 + 3*b**2 - 42/5*b**5 - l. Factor r(t). -2*(t + 1)**3*(3*t - 1)**2 Let j(r) be the first derivative of -4*r**3/3 - 16*r**2 - 60*r - 44. Factor j(m). -4*(m + 3)*(m + 5) Suppose -3*f = -0*f - 6*f. Let d(i) be the second derivative of 1/90*i**6 + 2*i + f + 1/12*i**4 + 0*i**2 + 1/18*i**3 + 1/20*i**5. Let d(x) = 0. Calculate x. -1, 0 Let d(i) be the third derivative of -i**5/300 - i**4/30 + 7*i**3/10 - i**2 + 407*i. Solve d(j) = 0. -7, 3 Suppose -3*o = -2*g - 8 - 2, 5*g = 5*o - 20. Suppose 0 = -2*l + 3 + 5. Factor 4/7*y**3 - 4/7*y + 0*y**o + 2/7 - 2/7*y**l. -2*(y - 1)**3*(y + 1)/7 Let x(h) be the second derivative of -h**4/36 + 4*h**3 - 71*h**2/6 + 161*h. Factor x(o). -(o - 71)*(o - 1)/3 Let a(m) = -m**3 - 16*m**2 - 5*m - 76. Let w be a(-16). Let i be (7 - 1)*6/12. Factor i*r**2 + 13/5*r**3 + 7/5*r + 4/5*r**w + 1/5. (r + 1)**3*(4*r + 1)/5 Let w = 9 + -9. Let o(v) = 4 - v**4 - v**3 + w*v**4 - 5. Let h(d) = 2*d**5 + 12*d**3 - 2*d**2 + 6. Let l(t) = -h(t) - 6*o(t). Determine k, given that l(k) = 0. 0, 1 Let a(d) be the third derivative of -d**10/30240 + d**9/5040 - d**7/630 + d**4/2 - 7*d**2. Let x(s) be the second derivative of a(s). Factor x(v). -v**2*(v - 2)**2*(v + 1) Let i(p) be the second derivative of -2/15*p**6 - 2*p**4 + 0 - 4/5*p**5 + 9*p - 2*p**2 - 8/3*p**3. Let i(k) = 0. Calculate k. -1 Let q = -457 - -460. Let y(k) be the third derivative of 0*k + 1/40*k**4 + 0*k**q + 12*k**2 + 0 - 1/100*
{ "pile_set_name": "DM Mathematics" }
culate 9 divided by 144. 1/16 What is -4608 divided by 6? -768 Divide -304 by -1. 304 Calculate 1060 divided by -530. -2 Divide 0 by -134. 0 Divide -39 by -105. 13/35 Divide -5146 by 83. -62 What is -4 divided by -4153? 4/4153 70 divided by -33 -70/33 Calculate -6 divided by -131. 6/131 What is -7686 divided by -366? 21 What is -324 divided by -36? 9 Calculate 4 divided by 20. 1/5 Calculate -24736 divided by -6184. 4 Divide -1900 by 25. -76 What is 9 divided by 74? 9/74 Calculate -22 divided by 329. -22/329 Divide -146 by -2. 73 Calculate -100 divided by -10. 10 Calculate -10252 divided by 233. -44 Calculate 326 divided by -1. -326 What is 240 divided by -48? -5 Calculate 40 divided by 654. 20/327 Divide -26 by 160. -13/80 Divide -780 by 65. -12 What is 13350 divided by -890? -15 What is 129 divided by 129? 1 What is -4 divided by 1746? -2/873 What is 25 divided by -15? -5/3 77 divided by 77 1 -3440 divided by 80 -43 Calculate -1716 divided by -4. 429 Divide 2844 by 9. 316 What is 5 divided by 251? 5/251 -6 divided by 27 -2/9 Calculate 2079 divided by 63. 33 Divide -2 by -184. 1/92 -10398 divided by 6 -1733 674 divided by 674 1 Divide 2119 by -2119. -1 Divide 0 by -8941. 0 Divide -12 by 18. -2/3 Calculate 828 divided by -92. -9 Divide -628 by 157. -4 Calculate -6875 divided by 11. -625 10 divided by -29 -10/29 Calculate 1770 divided by 590. 3 Calculate -1158 divided by 193. -6 Calculate -144 divided by -16. 9 What is 53 divided by 420? 53/420 Divide 5 by 322. 5/322 What is 8649 divided by -3? -2883 What is -4 divided by -28? 1/7 Divide -3244 by -3. 3244/3 Calculate -77 divided by -6. 77/6 Divide 6276 by -1046. -6 Divide 15488 by -352. -44 56 divided by -12 -14/3 8220 divided by 274 30 Calculate 9216 divided by 3. 3072 Divide 321 by 6. 107/2 -358 divided by -179 2 What is -38 divided by 15? -38/15 What is 5 divided by 1? 5 Calculate 4 divided by -1092. -1/273 What is 3360 divided by 32? 105 -4194 divided by 466 -9 What is 1298 divided by 6? 649/3 What is -5 divided by -7? 5/7 Calculate -244 divided by -2. 122 Calculate -1 divided by 842. -1/842 -158 divided by 2 -79 What is 225 divided by 75? 3 What is -4 divided by -2226? 2/1113 Calculate -3 divided by 2433. -1/811 What is -318 divided by 106? -3 138 divided by 2 69 What is -15494 divided by -1? 15494 What is 115 divided by 23? 5 Divide -33 by 7. -33/7 What is -96 divided by -71? 96/71 What is 27009 divided by -3? -9003 -4 divided by -2685 4/2685 Calculate -45 divided by -4. 45/4 Calculate 1260 divided by -6. -210 What is 215 divided by 6? 215/6 -30 divided by 3 -10 -5890 divided by -62 95 Divide -215 by 43. -5 What is -1862 divided by 5? -1862/5 Calculate -1690 divided by 338. -5 What is -125 divided by -25? 5 33 divided by -41 -33/41 What is 7 divided by 49? 1/7 What is 5830 divided by -6? -2915/3 Calculate -18880 divided by -2360. 8 Calculate 24 divided by 6. 4 -726 divided by 6 -121 Calculate -684 divided by 2. -342 -30 divided by -4 15/2 What is 3 divided by 3? 1 Divide 70 by -14. -5 What is 2 divided by -742? -1/371 -460 divided by 1 -460 Divide -1497 by -499. 3 -398 divided by -2 199 Calculate 468 divided by 9. 52 -108 divided by 36 -3 Calculate 0 divided by 56. 0 Divide -17640 by -360. 49 What is 135 divided by -5? -27 What is 272 divided by -8? -34 7170 divided by 6 1195 Calculate -2 divided by -356. 1/178 What is -20 divided by -60? 1/3 Divide 13696 by -3424. -4 63 divided by 9 7 Calculate -1 divided by -1453. 1/1453 -192 divided by -64 3 What is -35450 divided by 7090? -5 Calculate 143 divided by -3. -143/3 What is -50 divided by -25? 2 4 divided by 120 1/30 Divide 0 by 812. 0 Divide 389 by -8. -389/8 -7 divided by -4 7/4 What is 0 divided by 55? 0 Calculate 416 divided by -104. -4 325 divided by -65 -5 Calculate -448 divided by -7. 64 Calculate -10 divided by 2. -5 What is 192 divided by -64? -3 Calculate 4 divided by -121. -4/121 What is 32 divided by 4? 8 6630 divided by 3315 2 Calculate 258 divided by -23. -258/23 Calculate -9300 divided by 4. -2325 -4585 divided by -1 4585 What is -13212 divided by 6? -2202 What is 9 divided by 1273? 9/1273 -105 divided by -5 21 Calculate -9 divided by 237. -3/79 What is 8793 divided by 4? 8793/4 Divide -798 by -21. 38 What is 156 divided by 52? 3 Divide 75 by -15. -5 Calculate 665 divided by 133. 5 Calculate 2 divided by 226. 1/113 -29 divided by 6 -29/6 Divide -109800 by -6. 18300 8465 divided by 1 8465 1 divided by -13 -1/13 What is 389 divided by -2? -389/2 774 divided by 3 258 What is -1231 divided by -8? 1231/8 What is 666 divided by -18? -37 What is -23156 divided by 3? -23156/3 53 divided by -27 -53/27 What is 332 divided by -83? -4 Calculate 0 divided by 1195. 0 Divide -5 by -1389. 5/1389 What is -32 divided by 28? -8/7 Divide 2 by 4. 1/2 Calculate 5 divided by -444. -5/444 Divide 6905 by -6905. -1 Divide -160 by 3. -160/3 What is -3576 divided by -1192? 3 Divide 4 by -283. -4/283 -360 divided by -4 90 Divide 273 by 1. 273 320 divided by -8 -40 Calculate 585 divided by 3. 195 Calculate 196 divided by -28. -7 What is -2 divided by -1634? 1/817 -898 divided by 2 -449 What is 15 divided by 18? 5/6 Calculate 0 divided by 122. 0 Calculate 2676 divided by -3. -892 Calculate -38874 divided by -33. 1178 What is -759 divided by -11? 69 Divide 0 by -17. 0 What is 17454 divided by 6? 2909 Divide 11636 by -2909. -4 Divide -3 by 525. -1/175 Calculate 5160 divided by -5. -1032 What is -135 divided by -135? 1 What is 70 divided by 8? 35/4 Calculate -385 divided by -4. 385/4 What is 1120 divided by 16? 70 Calculate 159 divided by -53. -3 5 divided by 217 5/217 Calculate 8436 divided by 6. 1406 Calculate -289 divided by 1. -289 Divide 3278 by 298. 11 26 divided by 38 13/19 Calculate -4 divided by 3569. -4/3569 -136 divided by 17 -8 What is -1280 divided by -32? 40 What is -89 divided by 3? -89/3 -1764 divided by -5 1764/5 What is -336 divided by 8? -42 Calculate -77 divided by -11. 7 Calculate -18 divided by -6. 3 Divide -55 by -195. 11/39 Calculate -3282 divided by 3. -1094 What is -42 divided by 3? -14 What is -749 divided by -3? 749/3 What is -2732 divided by 4? -683 Calculate -1 divided by -59. 1/59 457 divided by -3 -457/3 Divide -113 by -30. 113/30 Calculate -648 divided by -1. 648 0 divided by 63 0 Divide 1666 by 833. 2 Calculate 61 divided by -8. -61/8 Calculate 2 divided by 1513. 2/1513 Calculate -1 divided by 58. -1/58 988 divided by 13 76 -176 divided by 8 -22 Calculate 0 divided by -75. 0 583 divided by 6 583/6 What is -12 divided by -1? 12 Calculate -275 divided by -5. 55 Divide 210 by 3. 70 200 divided by 40 5 What is -6 divided by 1? -6 2172 divided by -3 -724 18 divided by 20 9/10 Divide -734 by -13. 734/13 66 divided by -66 -1 Divide 4950 by 990. 5 Calculate 5 divided by 90. 1/18 Divide 40 by 9. 40/9 Calculate 4 divided by -3379. -4/3379 -624 divided by -6 104 1300 divided by -650 -2 Calculate 20 divided by -9. -20/9 -11994 divided by 3998 -3 Calculate 390 divided by -6. -65 Divide 100 by -100. -1 580 divided by 16 145/4 -875 divided by -5 175 Calculate 0 divided by 176. 0 What is -1008 divided by 168? -6 13466 divided by -3 -13466/3 What is 3160 divided by 4? 790 -9 divided by 2 -9/2 What is 8 divided by 14? 4/7 What is -22444 divided by -4? 5611 What is 1028 divided by 257? 4 What is 40 divided by 10? 4 -36 divided by 9 -4 What is -261 divided by 9? -29 Calculate 171 divided by 5. 171/5 Divide -587 by -587. 1 Calculate 3 divided by -120. -1/40 399 divided by -6 -133/2 Divide 9782 by 73. 134 -982 divided by 491 -2 575 divided by 33 575/33 What is -238 divided by 7? -34 Divide -150 by -25. 6 2612 divided by -653 -4 What is 3296 divided by 2? 1648 Calculate -57 divided by -19. 3 Calculate 70 divided by -3. -70/3 What is 146 divided by -4? -73/2 Calculate -22 divided by 195. -22/195 Divide -261 by -14. 261/14 What is -2860 divided by 572? -5 105 divided by 2 105/2 Calculate 45 divided by -34. -45/34 Calculate -872 divided by -436. 2 2 divided by -98 -1/49 Calculate 212 divided by -106. -2 What is 1 divided by 6? 1/6 Calculate 2464 divided by -616. -4 What is -7 divided by -249? 7/249 -1720 divided by 43 -40 Divide 5 by -963. -5/963 Calculate 696 divided by 2. 348 What is 3 divided by -633? -1/211 Divide -3192 by -76. 42 Calculate 12
{ "pile_set_name": "DM Mathematics" }
f, 3*f + 5 - 3 = 2*l for l. -2 Suppose h - 29 = -2*m, -m = -h - 4*m + 32. Suppose -l - 2*l + 30 = 0. Solve -2*g - l = -3*g + 4*i, -4*g - 5*i = h for g. -2 Suppose -d - 5*k - 2 = 16, -5*k = -4*d + 28. Solve -d*p + 8 = 4*z, 2*z - z = -3*p - 8 for p. -4 Suppose o = s + 2*o - 8, -3*o = -9. Suppose 0*b + 3*b = 5*j + 47, s*b - 3*j - 73 = 0. Let i = -13 - -18. Solve -i*z = -20, 0 = -d + 4*z - 1 - b for d. 1 Let w = 44 - 40. Solve -5*i + 4*z - 20 = -w*i, -4*i + 15 = 3*z for i. 0 Let r(c) = c**2 - 2*c - 1. Let d be r(2). Let a be 3/(d - 8/(-5)). Suppose -3*b - 2*b = 0. Solve b = 5*y + 3*q - 3 - 2, -4*q - 40 = -a*y for y. 4 Let o(c) = c**3 + 10*c**2 - 2*c - 15. Suppose 3*a + 4*x - 18 = 4*a, 3*a + 2*x + 26 = 0. Let p be o(a). Solve -4*b - p*t = -5, 0 = b + t + 1 - 3 for b. 5 Suppose -9 = -5*c + 1. Solve 4 = c*i - x - 1, 3*i + x = -5 for i. 0 Suppose -s - 2*u + 14 = 0, s - 4*u - 8 = -3*s. Suppose -8 = -a + s. Solve 5*r - 2*c = 14, 6*r = 2*r + 3*c + a for r. 2 Suppose -5*d + c + 34 = 0, d + 5*c - 26 = -2*d. Solve -3*y - 3 = -0*q - 3*q, 5*y + q = d for y. 1 Suppose 0 = -2*d - d + 15. Suppose b - 1 = -2*f + 3, d*f = 4*b - 3. Solve 2*a = b*i + 2, -3*i + 2 = 2*a + i for a. 1 Let k be ((-10)/(-8))/((-3)/(-12)). Let m(d) = -d**2 + 5*d - 3. Let o be m(3). Suppose -o*v + 11 = -2*v. Solve 7*l = k*g + 4*l + v, 27 = -3*g - 5*l for g. -4 Let f be 4 + ((-40)/15)/((-4)/18). Solve -5*g - f = 5*l + 4, 4*g = 0 for l. -4 Let x be (12 - (-9 - -4))*1. Solve 3*i = v + x, -5*v + 6 - 47 = -4*i for v. -5 Let i(k) = k**2 + 4*k - 19. Let w be i(-7). Let s(m) = m**2 + 7*m + 7. Let h be s(-5). Let x = h - -5. Solve 8 = -l - x*f, 2*f + w*f + 20 = -3*l for l. -4 Let s(w) = -w**2 + 3*w + 4. Let j be s(0). Solve y + 6 = -3*k, -4*y + y + j*k - 5 = 0 for y. -3 Let n(c) = -c**3 + c. Let a be n(1). Solve 3*f - 3*b - b = -15, a = -5*f + 3*b - 25 for f. -5 Suppose -3*o = -4*f - 0*o + 33, 4*f + o = 21. Solve y - l = 7, -2*y + 2*l + f = 4*l for y. 5 Let t be 10/15*(-3)/2. Let c be -3 + (-4 + -1)/t. Solve 0*l = l + c*o + 3, 4*o + 15 = -5*l for l. -3 Let y be (-3 + 4)*(-2 + 6). Solve -4*j = 4*i - 4, 8 - y = -i + 4*j for i. 0 Let i(z) = -z**3 + 2*z**2 + 3*z. Let m be i(-2). Let a = m + -7. Solve -5*j - 24 = -r, -3*r + a*j + 17 = -5*r for r. -1 Let v be ((-27)/(-6))/((-3)/4). Let a be 2*1 + -2 + -2. Let z = a - v. Solve 0*k - z*l + 4 = -4*k, -2*k + l = -2 for k. 3 Let z be 3/(-4)*(-8)/(-1). Let d = -3 - z. Suppose 15 = 5*t + 5*n, d*t + 0*n = 5*n + 9. Solve -5*m + t = b + 20, 0 = -2*m - 3*b + 1 for m. -4 Let z(m) = -7*m + 8. Let w(c) = 6*c - 7. Let q(r) = 6*w(r) + 5*z(r). Let u be q(4). Solve -4*g = -u*p + 14, 0 = -0*p - 2*p + 5*g + 16 for p. 3 Suppose 22 = -w + 12*w. Solve -3*q = -d - 2*q + 3, w*d - 1 = q for d. -2 Let s(g) = -g**2 + 5*g + 4. Let i be s(5). Suppose i*r + r - 15 = 0. Let l be 2/(-5) - (-164)/10. Solve -2*x - l = 4*c, r*c - 3*x + 12 = -7*x for c. -4 Suppose 0*s = -s. Let f be 1 - 2 - (0 + 1). Let i(b) = -3*b - 2. Let o be i(f). Solve -d + k - 3 - 4 = s, 19 = -d + o*k for d. -3 Let a = 67 + -47. Let m(i) = -4*i + 82. Let c be m(20). Solve 2*x - x = y, 3*x - a = -c*y for x. 4 Let a(v) = -v**3 + 3*v**2 + 4*v + 5. Let k be 5/((-45)/(-12))*3. Suppose k*w - 16 = -0*w. Let m be a(w). Solve -f - 2 = 0, -m*z = f + 4 + 23 for z. -5 Suppose -4*f = -7*f, -3*h - 3*f - 12 = 0. Suppose -3*g - 3*q + 29 = -7*q, 0 = 4*q - 4. Let c = g + h. Solve 4*j + 3*y - 5 = 0, -c = 5*y - 22 for j. -1 Suppose 0 = 2*c + 4*z - 2, -2*z - 13 = -c. Solve -c*j + 2*j - 30 = 5*g, -15 = 2*j + 5*g for j. -5 Suppose 4*f - 17 = -3*c, f - 2*c = -3*f + 2. Let z = 1 - -2. Suppose -z - 2 = -i. Solve 5 = v, 28 = -f*a - v + i*v for a. -4 Let l = -3 + 7. Let p = l - -11. Solve -5*y = 5*t + p, -4*y + 2*t = -0*y - 6 for y. 0 Let d = -6 + 11. Let i(x) = 2*x - 11. Let g be i(6). Let c = d - g. Solve 5*s + 18 = t - 7, 0 = -3*s + c*t - 15 for s. -5 Let k(y) = y + 5. Let m be k(-1). Solve 5*x + 40 = m*z, -5*z = x - 3 - 18 for x. -4 Let v(t) = -3*t**2 + 0*t + 5*t + 2*t**2 - 4. Let p be v(3). Solve 3*i + 0*i - 5*r - 20 = 0, -p*i + 4 = -r for i. 0 Suppose -2*z + 3*n - 4 = -z, 2*z - 3*n + 2 = 0. Solve -4*f = c + f + 18, f = z*c - 8 for c. 2 Suppose 0 = -5*n + 5*d, d - 8 = -0*n - n. Let y = 21 + -14. Solve -n*q - 28 = -q + 5*t, 2*t + y = 3*q for q. -1 Let b(u) = -2*u + 8. Let l be b(3). Solve 5*z = 3*c + 4, 2*c + l = -z + 4*z for z. 2 Suppose -3*k - 21 = -5*d, -3*d + 5*k - 2 + 21 = 0. Solve -5*t + 20 = 0, 4*u + 27 = u + d*t for u. -5 Suppose 4*o = 4*u - 16, 0*u - 10 = -2*u + 4*o. Solve 8 + 9 = 3*a + 5*r, -u*r = -12 for a. -1 Suppose -3*n + 16 - 1 = 0. Solve 0 = 2*t - t - 5*f + 17, n*t - 3*f - 3 = 0 for t. 3 Suppose 3*v + 244 = -4*j, -3*j + 4*v = -6*j - 183. Let r = j - -94. Solve -q = -4, -2*i + 5*q + 11 - r = 0 for i. -1 Let r = -3 - -5. Let q be (-1)/(0 - r/8). Solve 3*m = -3*j + 21, m - q*j = -0*j - 13 for m. 3 Let d be ((-39)/13 - (8 - 1))/(-2). Solve 2*m = 8, -6*y + y + d*m = 45 for y. -5 Let w be (-1)/(1*(2 - 3)). Solve 7*b - 2*b = -3*g + w, 5*g + 25 = 5*b for g. -3 Let w be -6 - (-1)/(2/4). Let y(i) = i**3 + 4*i**2 - 5*i - 2. Let a be y(w). Solve -l + a = -3*c, -4*c - 28 = c - l for c. -5 Let n(w) = 3*w**2 - 1. Let z be 42/(-189) + 40/18. Let r be n(z). Suppose 3 = c - 0*c. Solve 5*x = -2*y + 5 - 2, -c*y = x - r for x. -1 Let t(v) = -3*v - 2. Let x be 5*1/10*-4. Let k be t(x). Suppose -5*g - 5*r = 0, -3*g + 45 = g - 5*r. Solve 0 = k*c - 3*b + 15, -4*b = -c - 3*b - g for c. 0 Suppose -z + 3 = 8. Let q(c) = c**3 + 4*c**2 - 5*c. Let r be q(z). Solve -4*t = t - 15, r = 2*k - 3*t + 9 for k. 0 Let j be 6/2 + (10 - 2). Let b = -8 + j. Suppose -3*a + 3 - 7 = u, -8 = -b*u + a. Solve -4*g + 9 = -5*v, -u*v = 4*g - 2*g + 18 for g. -4 Suppose 6*o = 2*o + 12. Solve -5 + 4 = z, -5*z - 14 = o*k for k. -3 Suppose 0 = 2*l - 16 + 6. Suppose 10*s = l*s + 25. Solve w - 30 = s*q, 6 - 1 = 3*q + 4*w for q. -5 Suppose 25*l = 22*l - 6. Let h(i) = i + 4. Let y be h(l). Let m(j) = -j**2 - 7*j - 4. Let o be m(-6). Solve 0 = -f + 3*a + y + 5, -3 = f + o*a for f. 1 Let c be 2/(-5)*(-18 + 8). Solve 4*w + 8*m - 4*m = -c, 5*w - 2*m - 2 = 0 for w. 0 Let a = -2 + 5. Suppose g - 2*g - 3*k = -14, a*k = 2*g - 1. Suppose 5*l - l = 76. Solve 3*i = -5*h - l, 2*h + g = -3*i - 8 for i. -3 Let a be (-2)/(-9) + 320/18. Let d = a + -16. Solve 2*n + d*n - v = -11, -n - 11 = -3*v for n. -2 Let l(v) = 7*v - 4. Let o be l(4). Let d = o + -3. Solve -2*f = r - 7*f - d, 5*f + 25 = 5*r for r. 1 Suppose -4*r - 4*k = -40, -28 = -3*r - k - k. Solve -y = -2*n - r, 2*n + 0*n - 3*y + 16 = 0 for n. -2 Let d(n) = n. Let v be d(2). Solve -3*i = -c + 6*c - 11, 4*i - v*c = 6 for i. 2 Let u be ((35/2)/7 - 3)*0. Solve 16 + 7 = -5*v - n, -2*v + 2*n - 14 = u for v. -5 Suppose 10 = 3*y + 2*y. Suppose 0 = -y*f + 5*s + 70, 2*s = f + 6*s - 9. Let w = 2 + 3. Solve -w*a + 3*k = -2*k + f, -5*a - 22 = -2*k for a. -4 Let s be (-2)/(-6)*(16 - 4). Let t = 95 + -32. Suppose 0 = -2*u - u + t. Solve 4*y + 4*d - 3*d - u = 0, -s*d = -5*y + 21 for y. 5 Let l(y) = -y + 12. Let m be l(7). Suppose 4*b - 20 = -m*i - 0*i, 3*b = 5*i - 20. Solve 5*t - 30 = -5*u, b*u + 4*t + 3 = 5*u for u. 3 Suppose -4 = -3*r - r. Let t be 9*r - (-12 - -9). Solve p = -4*z - 14, 2 + t = 3*p - 2*z for p. 2 Let x = 11 + -10. Let d(p) = p - 1. Let f be d(x). Solve -4*j = h + 17, 5*h - 20 = j - f*h for j. -5 Let l be (-1)/(((-3)/(-2) - 1)/(-2)). Solve -z + l*h + 6 = 18, -2*z = -4*h + 8 for z. 4 Let k(x) be the first derivative of -x**4/4 - x**2/2 + 1. Let y be k(1). Let b be y/13 + (-12)/(-78). Solve 3*q - 5*q - 3*v + 9 = 0, -5*q - 4*v + 12 = b for q. 0 Suppose -4*a + 2*t = -14, 2*a - 3*a + 5 = t. Suppose -a = 2*s - 4*s. Solve 2*u = 8, -2*z - 2*z + s*u - 8 = 0 for z. 0 Suppose -2*v - 1 = -9. Suppose -v*b + 3 = -13. Suppose -b*s - 6 + 14 = 0. Solve -12 = -2*h - 4*x, 22 = 4*h + h + s*x for h. 4 Suppose -b = b - 2*j - 18, 0 = 3*j + 12. Solve 12 = 3*t + 2*r, -10 - 6 = -4*t - b*r for t. 4 Let d be -2 - (3 - 1 - 6). Suppose -6*w = -d*w - 12. Let n = 8 + -7. Solve r = -n, -7*g + w*g + 4*r - 16 = 0 for g. -5 Let l(u) = -1 - 2*u + u + 2*u. Let r be l(5). Let j = 2 + 0. Solve 0 = 3*f + j*o - 2, 0 = 2*o + r for f. 2 Let h be 6 + -3 + -5 - (-1 - 4). Solve 0 = -5*t + 2*r + 9 - 0, h*r = -t + 12 for t. 3 Let x(h) = -h - 12. Let c be x(-10). Let d be (-2 - -4) + c
{ "pile_set_name": "DM Mathematics" }
next in -212, -424, -648, -890, -1156, -1452, -1784, -2158? -2580 What is the next term in -2385, -2385, -2387, -2391? -2397 What is the next term in 24, 34, 44, 54, 64? 74 What comes next: -46, -103, -174, -259, -358? -471 What is the next term in 141, 281, 407, 513, 593, 641, 651, 617? 533 What is next in -13, -34, -67, -112? -169 What is the next term in 14, 59, 134, 239? 374 What comes next: 4709, 9410, 14109, 18806, 23501, 28194? 32885 What is the next term in 2, -38, -164, -418, -842, -1478, -2368? -3554 What is next in 13, 30, 67, 130, 225, 358, 535? 762 What is the next term in -302, -303, -304? -305 What is the next term in -37, -131, -287, -505, -785, -1127? -1531 What is the next term in 637, 1283, 1929, 2575, 3221? 3867 What is next in 665, 1319, 1973? 2627 What is the next term in -172, -360, -550, -742, -936, -1132, -1330? -1530 What comes next: -5298, -5301, -5306, -5313, -5322, -5333? -5346 What comes next: 38, 52, 66? 80 What is the next term in 6, 17, 30, 39, 38? 21 What is next in 160, 204, 248, 292, 336? 380 What comes next: 120, 152, 184, 216? 248 What comes next: -9606, -9604, -9602, -9600? -9598 What comes next: 59, 120, 193, 284, 399? 544 What comes next: -1200, -1198, -1196, -1194? -1192 What comes next: -69, -108, -165, -234, -309, -384? -453 What is next in -34, -29, -20, -7? 10 What comes next: 56, 49, 42, 35, 28, 21? 14 What comes next: 665, 1329, 1993, 2657, 3321? 3985 What is the next term in -154, -306, -454, -598, -738, -874, -1006? -1134 What is the next term in 67, 234, 523, 940, 1491, 2182, 3019? 4008 What comes next: -61, -42, -7, 50, 135? 254 What is next in -751, -1503, -2255? -3007 What is next in 70, 255, 440, 625, 810? 995 What comes next: -337, -1359, -3063, -5449, -8517? -12267 What is next in 229, 897, 2009, 3565, 5565? 8009 What is next in -174, -346, -518, -690? -862 What comes next: 505, 531, 573, 637, 729, 855? 1021 What is next in 57, 90, 119, 144, 165, 182, 195? 204 What comes next: -1431, -1434, -1441, -1452, -1467, -1486? -1509 What is the next term in 23, 21, 15, 5, -9, -27? -49 What comes next: 72, 92, 118, 150, 188? 232 What is next in -197, -196, -195, -194, -193, -192? -191 What is next in -22, -9, 8, 29, 54, 83? 116 What is next in 964, 1905, 2818, 3697, 4536, 5329? 6070 What is next in -345, -347, -361, -393, -449, -535, -657? -821 What is the next term in -2657, -2658, -2659, -2660? -2661 What comes next: 8, -49, -106, -163, -220? -277 What comes next: -2488, -4979, -7472, -9967, -12464, -14963, -17464? -19967 What comes next: 51, 13, -35, -99, -185, -299, -447? -635 What comes next: 395, 398, 401, 404? 407 What is next in 476, 962, 1462, 1982, 2528, 3106? 3722 What is next in 248, 210, 146, 56, -60? -202 What comes next: -225, -451, -677, -903, -1129? -1355 What comes next: 12, 27, 46, 69? 96 What is next in 130, 286, 440, 592, 742, 890? 1036 What is next in -15, -26, -33, -30, -11, 30, 99? 202 What is the next term in 78, 297, 656, 1149, 1770, 2513? 3372 What comes next: -38, -364, -1242, -2948, -5758, -9948? -15794 What is next in 144, 276, 394, 492, 564? 604 What is next in 1, -5, -13, -23, -35? -49 What is the next term in -4287, -4288, -4289, -4290, -4291, -4292? -4293 What comes next: -7, -59, -205, -493, -971, -1687, -2689? -4025 What comes next: -6, -21, -52, -105, -186? -301 What is next in -23, -112, -311, -662, -1207, -1988, -3047, -4426? -6167 What comes next: -160, -322, -484? -646 What is next in -1791, -1792, -1793, -1794? -1795 What comes next: -386, -385, -384? -383 What is the next term in -5, -29, -61, -95, -125? -145 What comes next: -3239, -3232, -3221, -3206, -3187, -3164? -3137 What is next in 140, 193, 234, 257, 256, 225, 158, 49? -108 What comes next: 455, 909, 1363, 1817, 2271, 2725? 3179 What is next in 2210, 2209, 2208? 2207 What comes next: 14, -124, -354, -682, -1114, -1656, -2314? -3094 What is next in 21, -34, -75, -96, -91, -54, 21? 140 What is the next term in 1, 55, 111, 169, 229, 291, 355? 421 What is the next term in -7, -11, -17, -31, -59, -107, -181? -287 What comes next: -764, -1530, -2296? -3062 What is next in -10, -8, -10, -22, -50, -100? -178 What is the next term in -31, -51, -103, -205, -375? -631 What is the next term in 61, 47, 23, -11, -55, -109, -173? -247 What is next in -172, -693, -1564, -2785, -4356, -6277, -8548? -11169 What is next in 104, 113, 130, 155, 188, 229? 278 What is next in -37, -57, -97, -163, -261, -397, -577? -807 What is next in 60, 57, 56, 57? 60 What comes next: 8, -31, -60, -73, -64, -27, 44, 155? 312 What comes next: 44, 44, 46, 50, 56? 64 What is next in 16, 10, 4, -2? -8 What comes next: 121, 148, 175, 202, 229? 256 What comes next: 20, 30, 48, 80, 132, 210? 320 What comes next: -21, -48, -93, -156, -237, -336? -453 What is the next term in -56, -41, -14, 25, 76, 139? 214 What is next in -84, -121, -176, -243, -316, -389, -456? -511 What is the next term in 67, 112, 159, 208? 259 What is next in 132, 188, 246, 306? 368 What comes next: -50, -93, -136, -179, -222? -265 What is next in -7, -19, -39, -67? -103 What is the next term in 23, 64, 131, 230, 367, 548, 779? 1066 What is the next term in -227, -223, -219? -215 What is the next term in 116, 115, 114? 113 What is next in -3304, -3308, -3316, -3328, -3344, -3364, -3388? -3416 What is next in -688, -686, -682, -676, -668, -658? -646 What is next in -20, -73, -158, -275, -424, -605? -818 What is the next term in -24, -52, -90, -138, -196, -264, -342? -430 What is the next term in -38, -73, -110, -149, -190, -233? -278 What is the next term in -2584, -2583, -2582? -2581 What comes next: -1778, -1774, -1768, -1760? -1750 What comes next: 1792, 1787, 1770, 1735, 1676, 1587, 1462? 1295 What comes next: 1441, 2881, 4321? 5761 What comes next: -284, -572, -874, -1196, -1544? -1924 What is the next term in -734, -745, -758, -773, -790, -809? -830 What is the next term in -55, -117, -177, -235? -291 What is next in -23, -36, -49, -62, -75, -88? -101 What comes next: 17, 31, 43, 53? 61 What is next in 2016, 2017, 2018, 2019, 2020? 2021 What is next in 888, 1771, 2652, 3531, 4408, 5283, 6156? 7027 What is the next term in -133, -134, -147, -178, -233, -318, -439, -602? -813 What is next in -556, -553, -546, -535, -520, -501? -478 What is the next term in 2, 0, -4, -10, -18, -28, -40? -54 What is next in 106, 231, 362, 499, 642? 791 What is next in 604, 614, 640, 688, 764, 874? 1024 What is next in -680, -1368, -2056, -2744, -3432, -4120? -4808 What is the next term in -48, 6, 164, 480, 1008? 1802 What is the next term in -218, -215, -212, -209, -206, -203? -200 What comes next: -160, -154, -148, -142, -136? -130 What is next in -713, -1425, -2137? -2849 What is next in 129, 137, 149, 165, 185, 209? 237 What is next in 8, 30, 66, 116, 180, 258, 350? 456 What is the next term in 1468, 2932, 4396, 5860? 7324 What comes next: 231, 214, 183, 132, 55, -54, -201, -392? -633 What is the next term in -535, -1045, -1555, -2065? -2575 What is the next term in 63, 65, 71, 87, 119? 173 What comes next: 4727, 4726, 4725, 4724, 4723, 4722? 4721 What is the next term in 18289, 36583, 54875, 73165, 91453, 109739? 128023 What is next in 6, 8, 34, 102, 230, 436, 738? 1154 What is the next term in -37, -84, -161, -268? -405 What is next in 19, 26, 37, 52? 71 What is the next term in 139, 555, 1249, 2221, 3471, 4999, 6805? 8889 What is the next term in -49, -96, -143? -190 What is next in -11, -27, -33, -23, 9, 69, 163? 297 What is next in 46, 28, -4, -56, -134? -244 What is the next term in 26, 60, 114, 188, 282, 396, 530? 684 What is next in 332, 333, 334, 335, 336, 337? 338 What is next in 29, 44, 75, 128, 209? 324 What is the next term in -14, -13, 0, 31, 86? 171 What is next in 152, 134, 104, 62, 8, -58? -136 What is next in -4, -13, -22, -31, -40, -49? -58 What is the next term in -772, -780, -790, -802? -816 What is the next term in -2, -11, -26, -47? -74 What comes next: -2, -24, -62, -116, -186, -272, -374? -492 What is the next term in -31, -134, -323, -610, -1007, -1526, -2179, -2978? -3935 What is the next term in -112, -227, -336, -433, -512, -567? -592 What is the next term in 343, 690, 1037, 1384, 1731, 2078? 2425 What is next in 606, 615, 626, 639, 654, 671? 690 Wha
{ "pile_set_name": "DM Mathematics" }
8? False Is 522 a factor of 12869535? False Does 627 divide 978832? False Is 2731436 a multiple of 113? True Is 172 a factor of 202392? False Is 477126 a multiple of 6? True Is 3663914 a multiple of 6? False Is 578946 a multiple of 94? True Is 104 a factor of 2272088? True Is 63 a factor of 114345? True Is 339599 a multiple of 214? False Does 452 divide 5527056? True Is 24 a factor of 381022? False Does 221 divide 1885980? False Is 5687973 a multiple of 31? True Is 959320 a multiple of 29? True Is 1465 a factor of 4758320? True Is 4282960 a multiple of 124? True Is 1403881 a multiple of 97? True Is 106 a factor of 3486658? True Is 6039358 a multiple of 403? True Is 155 a factor of 113150? True Does 678 divide 4849056? True Is 5394 a multiple of 2? True Is 1162899 a multiple of 11? False Is 20361024 a multiple of 216? True Does 103 divide 15009? False Is 132 a factor of 569184? True Does 19 divide 461491? True Does 126 divide 3697470? True Is 10 a factor of 69710? True Is 10 a factor of 170908? False Does 29 divide 7248956? True Is 459 a factor of 107693? False Is 35 a factor of 64855? True Does 830 divide 6008141? False Is 280943 a multiple of 442? False Is 42 a factor of 133726? False Is 48 a factor of 6059040? True Is 36 a factor of 238261? False Does 53 divide 145690? False Does 20 divide 6000393? False Does 101 divide 44986? False Does 408 divide 687888? True Is 15 a factor of 449598? False Is 58397 a multiple of 24? False Does 4 divide 31604? True Does 267 divide 298239? True Is 40320 a multiple of 72? True Does 79 divide 31995? True Is 735108 a multiple of 70? False Is 11440831 a multiple of 251? True Does 32 divide 134070? False Does 32 divide 592672? True Is 274568 a multiple of 18? False Is 1309808 a multiple of 16? True Does 2 divide 5094176? True Is 135024 a multiple of 24? True Is 145526 a multiple of 46? False Is 42 a factor of 852356? False Is 21 a factor of 1749237? True Does 4 divide 8450? False Is 192 a factor of 21699434? False Is 88 a factor of 394152? True Is 960815 a multiple of 59? True Is 5 a factor of 281320? True Is 24 a factor of 3963672? True Does 75 divide 1069713? False Is 13 a factor of 804622? True Does 158 divide 1726782? True Is 48 a factor of 6140592? True Is 28764 a multiple of 34? True Is 15238060 a multiple of 820? True Does 7 divide 5431880? False Does 79 divide 644324? True Does 25 divide 368608? False Is 558028 a multiple of 13? False Is 20 a factor of 4420? True Is 50328 a multiple of 18? True Is 488800 a multiple of 50? True Does 24 divide 2169564? False Is 12 a factor of 10306056? True Is 77 a factor of 983867? False Is 8 a factor of 9808? True Is 16 a factor of 114368? True Is 24489 a multiple of 9? True Is 941388 a multiple of 68? False Is 2117304 a multiple of 168? True Does 323 divide 11073532? False Is 207512 a multiple of 106? False Is 242119 a multiple of 486? False Is 28998 a multiple of 294? False Does 54 divide 205384? False Is 1950584 a multiple of 8? True Is 100482 a multiple of 23? False Is 8 a factor of 281536? True Does 1335 divide 7311432? False Does 6 divide 96834? True Is 366730 a multiple of 7? True Does 86 divide 10974116? True Is 64 a factor of 1000463? False Is 24 a factor of 483113? False Is 49 a factor of 4935770? True Does 3 divide 21097? False Is 18 a factor of 1290816? True Is 1642026 a multiple of 618? True Is 141939 a multiple of 27? True Does 792 divide 418968? True Is 208 a factor of 123760? True Is 774402 a multiple of 994? False Does 151 divide 167703? False Is 14 a factor of 83740? False Is 78700 a multiple of 25? True Is 4757764 a multiple of 22? True Is 2767243 a multiple of 5? False Is 125 a factor of 290500? True Is 300043 a multiple of 80? False Does 105 divide 936180? True Is 4 a factor of 351779? False Is 933 a factor of 6865947? True Is 7739712 a multiple of 216? True Is 382486 a multiple of 94? True Is 27 a factor of 721991? False Does 17 divide 1044684? True Does 67 divide 156110? True Is 32 a factor of 3840? True Is 74050 a multiple of 186? False Is 2934360 a multiple of 312? True Does 44 divide 11902846? False Is 197210 a multiple of 4? False Is 2065546 a multiple of 686? True Is 3869865 a multiple of 69? True Is 2541189 a multiple of 13? False Is 3204 a multiple of 12? True Is 14784 a multiple of 176? True Does 12 divide 113196? True Is 897516 a multiple of 214? True Does 463 divide 307442? False Is 2115 a multiple of 3? True Does 3 divide 521212? False Is 2900 a multiple of 100? True Does 68 divide 2872864? True Does 8 divide 19624? True Does 24 divide 7572715? False Is 284 a factor of 728744? True Does 95 divide 1849525? False Does 320 divide 9600? True Does 42 divide 382861? False Is 192234 a multiple of 163? False Is 171 a factor of 483717? False Does 16 divide 169333? False Is 106 a factor of 1757103? False Is 54648 a multiple of 18? True Does 13 divide 2386756? False Is 27 a factor of 22687? False Is 77307 a multiple of 219? True Is 12922 a multiple of 14? True Does 93 divide 326058? True Does 17 divide 62730? True Is 27 a factor of 452468? False Does 11 divide 216557? True Does 35 divide 187715? False Does 7 divide 210441? True Is 49 a factor of 652040? False Does 3 divide 259965? True Does 2 divide 852956? True Is 303221 a multiple of 290? False Does 38 divide 1125? False Is 374 a factor of 12150? False Is 181 a factor of 132487? False Does 13 divide 2101073? True Is 431413 a multiple of 39? False Is 127 a factor of 121412? True Is 5 a factor of 764293? False Does 26 divide 7430120? False Does 29 divide 106558? False Does 14 divide 89243? False Is 6 a factor of 3830439? False Does 519 divide 611382? True Is 852 a factor of 3089480? False Is 158074 a multiple of 98? True Is 9 a factor of 6791? False Does 17 divide 225530? False Is 69 a factor of 626727? True Is 485 a factor of 678515? True Is 566 a factor of 6434776? False Does 20 divide 2659072? False Is 454312 a multiple of 3? False Does 65 divide 1018420? True Is 9579157 a multiple of 11? False Is 98 a factor of 7519870? False Does 1508 divide 122148? True Is 368782 a multiple of 84? False Is 43140 a multiple of 5? True Does 94 divide 89582? True Is 632800 a multiple of 175? True Is 2251279 a multiple of 184? False Is 656292 a multiple of 78? True Is 65 a factor of 445380? True Is 11542176 a multiple of 16? True Is 254 a factor of 4515866? True Is 208 a factor of 400400? True Is 633750 a multiple of 169? True Is 1974364 a multiple of 107? True Does 55 divide 5003? False Does 48 divide 372096? True Is 45 a factor of 3082751? False Does 130 divide 4125550? True Is 21 a factor of 54693? False Does 14 divide 8957816? True Does 13 divide 2028247? True Is 27 a factor of 181390? False Does 21 divide 37475? False Is 475992 a multiple of 66? True Is 68015 a multiple of 56? False Is 2768535 a multiple of 15? True Is 2 a factor of 2428? True Does 7 divide 9212357? True Is 9049 even? False Is 3 a factor of 3322? False Is 14 a factor of 159386? False Does 46 divide 146489? False Does 453 divide 104081? False Does 457 divide 933628? False Does 12 divide 4261200? True Is 73645 a multiple of 103? True Does 601 divide 5399384? True Does 124 divide 245768? True Does 62 divide 459464? False Is 260268 a multiple of 46? True Is 80 a factor of 77760? True Is 112470 a multiple of 138? True Is 114744 a multiple of 34? False Does 119 divide 41293? True Is 11953 a multiple of 40? False Is 9 a factor of 148338? True Does 40 divide 6778221? False Does 109 divide 283537? False Does 220 divide 286287? False Is 163792 a multiple of 232? True Does 257 divide 5879? False Does 61 divide 1305400? True Is 4660810 a multiple of 14? True Is 25 a factor of 104516? False Does 26 divide 88517? False Is 5 a factor of 2024018? False Is 1547082 a multiple of 18? True Is 22923 a multiple of 48? False Is 9405 a multiple of 19? True Is 84 a factor of 3214658? False Does 146 divide 8482016? True Does 758 divide 127118? False Is 1062259 a multiple of 121? True Is 407896 a multiple of 268? True Is 373428 a multiple of 11? True Does 14 divide 3751356? True Is 4062555 a multiple of 16? False Is 251233 a multiple of 138? False Is 682 a factor of 1185998? True Does 4 divide 7434615? False Is 2829764 a multiple of 52? False Is 72 a factor of 10
{ "pile_set_name": "DM Mathematics" }
ate the greatest common divisor of 80 and 3760. 80 What is the greatest common divisor of 48 and 6216? 24 Calculate the highest common divisor of 152 and 1444. 76 What is the greatest common divisor of 8 and 188? 4 Calculate the greatest common divisor of 336 and 276. 12 What is the greatest common factor of 209 and 19? 19 What is the greatest common factor of 36 and 54? 18 What is the highest common divisor of 42 and 12? 6 What is the highest common factor of 414 and 45? 9 Calculate the greatest common divisor of 30 and 480. 30 Calculate the highest common divisor of 40 and 6328. 8 Calculate the highest common factor of 2368 and 1073. 37 What is the greatest common factor of 70 and 920? 10 Calculate the greatest common factor of 3 and 5007. 3 Calculate the highest common divisor of 530 and 106. 106 Calculate the greatest common divisor of 1365 and 6045. 195 What is the highest common factor of 184 and 598? 46 Calculate the greatest common factor of 24 and 8934. 6 Calculate the highest common divisor of 256 and 3760. 16 What is the highest common factor of 32 and 2680? 8 Calculate the highest common factor of 15067 and 19. 19 Calculate the highest common factor of 7630 and 140. 70 Calculate the highest common factor of 10127 and 13. 13 Calculate the greatest common factor of 1332 and 9. 9 Calculate the greatest common divisor of 267 and 89. 89 What is the highest common factor of 666 and 74? 74 What is the greatest common factor of 21 and 49? 7 Calculate the highest common divisor of 11 and 693. 11 What is the greatest common factor of 308 and 1890? 14 Calculate the highest common factor of 45 and 576. 9 What is the highest common factor of 350 and 1540? 70 What is the highest common factor of 144 and 528? 48 Calculate the greatest common factor of 102 and 1564. 34 What is the greatest common factor of 288 and 270? 18 Calculate the greatest common factor of 4104 and 38. 38 What is the greatest common divisor of 28 and 1358? 14 What is the highest common divisor of 269 and 12? 1 What is the highest common divisor of 1298 and 22? 22 Calculate the highest common divisor of 204 and 2958. 102 Calculate the highest common divisor of 9216 and 144. 144 What is the highest common factor of 52 and 28? 4 Calculate the highest common divisor of 3430 and 70. 70 What is the greatest common divisor of 69 and 299? 23 What is the highest common factor of 126 and 742? 14 Calculate the highest common divisor of 14 and 301. 7 What is the greatest common factor of 531 and 413? 59 What is the highest common factor of 12 and 2058? 6 What is the highest common divisor of 722 and 38? 38 Calculate the highest common divisor of 1862 and 98. 98 Calculate the highest common factor of 3252 and 60. 12 What is the greatest common factor of 312 and 432? 24 Calculate the greatest common divisor of 15 and 9. 3 Calculate the highest common divisor of 2 and 104. 2 What is the highest common factor of 28390 and 167? 167 What is the highest common factor of 98 and 4949? 49 Calculate the greatest common factor of 135 and 1188. 27 What is the greatest common factor of 54 and 864? 54 What is the greatest common factor of 6480 and 32? 16 What is the greatest common divisor of 34 and 4? 2 What is the highest common divisor of 1430 and 1287? 143 What is the highest common divisor of 475 and 665? 95 What is the highest common factor of 40 and 2560? 40 Calculate the highest common factor of 889 and 2540. 127 What is the highest common divisor of 578 and 34? 34 What is the greatest common factor of 100 and 130? 10 Calculate the highest common factor of 1539 and 9. 9 Calculate the greatest common divisor of 19 and 37. 1 What is the greatest common divisor of 21 and 833? 7 What is the highest common factor of 4307 and 236? 59 What is the highest common divisor of 660 and 24090? 330 What is the greatest common divisor of 194 and 2? 2 Calculate the greatest common factor of 82 and 8446. 82 Calculate the highest common factor of 57 and 77. 1 Calculate the greatest common factor of 21 and 25683. 21 Calculate the highest common divisor of 42 and 1386. 42 Calculate the greatest common factor of 7474 and 606. 202 What is the highest common divisor of 32 and 208? 16 What is the highest common factor of 868 and 28? 28 What is the greatest common factor of 671 and 33? 11 What is the greatest common factor of 16 and 108? 4 What is the highest common divisor of 55 and 8195? 55 Calculate the greatest common divisor of 57 and 3363. 57 What is the highest common factor of 3 and 1857? 3 What is the highest common factor of 98 and 28? 14 What is the greatest common factor of 1404 and 243? 27 What is the highest common factor of 338 and 10? 2 What is the greatest common factor of 49 and 686? 49 What is the greatest common divisor of 54 and 14526? 54 What is the greatest common divisor of 76 and 8? 4 What is the greatest common factor of 35 and 35665? 35 Calculate the highest common divisor of 39 and 1183. 13 What is the highest common factor of 1265 and 55? 55 What is the greatest common divisor of 3042 and 962? 26 What is the greatest common factor of 748 and 88? 44 What is the highest common factor of 374 and 66? 22 Calculate the highest common factor of 141 and 987. 141 What is the highest common divisor of 102 and 7? 1 What is the highest common factor of 1403 and 305? 61 What is the greatest common factor of 54 and 216? 54 Calculate the greatest common divisor of 108 and 52. 4 Calculate the greatest common factor of 2 and 54. 2 What is the highest common factor of 6 and 1167? 3 Calculate the highest common divisor of 38 and 380. 38 What is the highest common factor of 218 and 1199? 109 What is the highest common factor of 918 and 54? 54 What is the highest common divisor of 360 and 320? 40 Calculate the highest common divisor of 909 and 18. 9 Calculate the greatest common divisor of 224 and 1600. 32 Calculate the greatest common factor of 28 and 462. 14 Calculate the greatest common divisor of 70 and 2310. 70 What is the greatest common divisor of 4 and 518? 2 Calculate the greatest common divisor of 1180 and 20. 20 Calculate the greatest common divisor of 143 and 13. 13 Calculate the greatest common factor of 81 and 27. 27 What is the highest common factor of 1032 and 168? 24 What is the highest common factor of 153 and 5661? 153 Calculate the greatest common factor of 11 and 3762. 11 Calculate the greatest common divisor of 2 and 262. 2 What is the greatest common divisor of 3773 and 49? 49 What is the highest common divisor of 5 and 11? 1 What is the highest common divisor of 88 and 473? 11 Calculate the greatest common factor of 45 and 495. 45 What is the highest common factor of 29 and 1? 1 Calculate the greatest common divisor of 1300 and 247. 13 What is the highest common divisor of 363 and 165? 33 What is the highest common factor of 54 and 4266? 54 Calculate the greatest common factor of 56 and 294. 14 Calculate the greatest common divisor of 396 and 204. 12 What is the greatest common divisor of 50 and 640? 10 What is the greatest common factor of 950 and 684? 38 What is the highest common divisor of 558 and 434? 62 What is the greatest common divisor of 3266 and 46? 46 Calculate the highest common divisor of 460 and 64. 4 Calculate the highest common divisor of 12766 and 39. 13 What is the highest common divisor of 130 and 21580? 130 What is the highest common divisor of 200 and 488? 8 Calculate the greatest common factor of 640 and 20. 20 Calculate the greatest common factor of 126 and 798. 42 What is the highest common factor of 2629 and 220? 11 Calculate the greatest common factor of 273 and 28. 7 What is the greatest common divisor of 255 and 345? 15 Calculate the highest common factor of 288 and 352. 32 What is the highest common divisor of 900 and 31275? 225 What is the greatest common divisor of 105 and 168? 21 What is the highest common divisor of 56 and 196? 28 What is the greatest common divisor of 14986 and 2032? 254 What is the highest common factor of 175 and 2415? 35 What is the greatest common factor of 1344 and 84? 84 What is the highest common divisor of 7059 and 39? 39 What is the highest common factor of 570 and 2090? 190 What is the greatest common divisor of 192 and 72
{ "pile_set_name": "DM Mathematics" }
(-75)). Suppose -50 + a = 4*p. Determine f(p). -5 Let q(y) = y**2 - 3*y - 9. Let t be q(5). Let g(p) = -5*p**2 + p - 11. Let m(l) = -l**2 - l - 1. Let z(b) = t*g(b) - 6*m(b). Calculate z(-6). -11 Let k(x) = -x**3 + 8*x**2 + x - 4. Let j(p) be the second derivative of p**5/10 - 3*p**4/4 - p**3/3 + 2*p**2 + 6*p. Let u(d) = 2*j(d) + 3*k(d). Give u(-6). 2 Let z(m) be the first derivative of 5*m**3/6 - m**2 - 55*m + 24. Let h(o) be the first derivative of z(o). Determine h(2). 8 Let j = 261 - 253. Let k(r) = -r**3 + 9*r**2 - 8*r. Determine k(j). 0 Suppose -3*x + 7*x - 8 = 0. Suppose -y - 3*q = -10, y - q = 2*q - x. Let o(t) be the first derivative of t**4/4 - 5*t**3/3 + 2*t**2 - 6*t - 13. Calculate o(y). -6 Let c(o) = -o**3 - o - 1. Let b(r) = -4*r**3 + 6*r**2 - r - 7. Let a(p) = -b(p) + 5*c(p). Suppose m - 7 = 4*y, -128 = 2*y - 122. Calculate a(m). -3 Let n(u) = -7*u**2 - 12*u + 14. Let c(y) = 9*y**2 + 13*y - 14. Let v(k) = 3*c(k) + 4*n(k). Give v(-10). 4 Let i = -8 + -6. Let f(a) = 2*a + 19. What is f(i)? -9 Let b(h) = 121*h - 39*h - 41*h - 40*h. Let i(d) = -23*d**3 - d**2 - d. Let k be i(-1). Suppose 5*c = s - k, 2*s = -2 + 8. Give b(c). -4 Suppose 4*b + 3*c - 10 = 0, 7*b + c - 14 = 3*b. Suppose -2*g = b*y + 12, -3*y - 11 = -5. Let l(p) = -2*p**3 + 0*p**3 + 4*p - 4*p**2 - 8*p - 2. Determine l(g). 6 Let f be 58/4 - (-2)/(-4). Let y = 18 - f. Suppose l + 20 = -3*l, -2*k - y*l - 18 = 0. Let w(o) = -8*o + 1. Calculate w(k). -7 Let h(j) be the first derivative of -5*j**2/2 + 23*j - 129. Give h(7). -12 Suppose -c + 8 = c. Let r(o) = 4*o - 3 + 1 - 3. Give r(c). 11 Suppose -23 - 7 = -5*v. Let u(t) = t**3 - 5*t**2 + 4*t + 2. Let h(b) = b**2 - b + 1. Let x(g) = -2*h(g) + u(g). Give x(v). 0 Let y(k) = k**3 - k. Let z(j) = 4*j**3 - 6*j - 4. Let q(o) = 3*y(o) - z(o). Let c = 24 + 24. Let g = 51 - c. Give q(g). -14 Let j(h) = h - 1. Let c = 98 + -3. Suppose -c*x + 94*x = 0. Give j(x). -1 Let k be 4/(-8)*-4*1. Suppose -3*u = -u + 5*w + 32, k*u - w = -8. Let j be ((-9)/u + 0)*-2. Let y(r) = -r**2 + 1. Determine y(j). -8 Suppose -40 = -3*c - 5*c. Let p(f) = f - 1. Calculate p(c). 4 Let y(a) be the first derivative of a**6/120 + a**5/10 + a**4/24 + 2*a**3/3 - 11*a**2/2 - 8. Let s(n) be the second derivative of y(n). Give s(-6). -2 Let g(w) = w**3 - 2*w**2 + 3*w - 19. Let r(i) = -4*i**3 + 9*i**2 - 14*i + 76. Let u(h) = -9*g(h) - 2*r(h). Calculate u(0). 19 Let v(f) = -66*f - 74. Let w(h) = 11*h + 12. Let t(k) = -2*v(k) - 13*w(k). What is t(-2)? 14 Let v(z) = -z**3 + 3*z**2 - z + 1. Let l be v(2). Let s(j) = l + 10*j + 7*j**2 + 0 - 5*j**2 - 2*j. What is s(-5)? 13 Let z(d) = -3*d - 2. Suppose -4 - 3 = 7*b. Let u be (-15)/(-6)*b*(-3 + 1). Give z(u). -17 Let p = -68 + 101. Suppose 2*n + 15 = 2*v + 3*n, 5*v = 2*n + p. Let l(a) = a - 2. Give l(v). 5 Let o be (-72)/(-27)*(-3)/2 + 8. Let b(r) = r**2 - 3*r + 4. What is b(o)? 8 Let m(z) = 0 - 20*z + 27*z - 11*z - 7. Calculate m(-5). 13 Let d(z) = -3*z - 4. Suppose 5*i - 37 + 7 = -4*l, 6 = i - 5*l. Suppose -2*u + i = 2*a, -5*u = -0*a + a - 23. What is d(u)? -19 Let d(z) = 7*z - 1. Let u be 15/(-50)*-2 - (-39)/(-15). What is d(u)? -15 Let v = -28 + 39. Let m(t) = 1 + 3*t - 5*t + v*t**2 - 12*t**2 + 6*t. Give m(3). 4 Let w(g) = 2*g**2 + g**3 + 4*g**2 + 8 - 13*g + 2*g**2 - 15 + 13. Give w(-10). -64 Let n(d) = -2*d**2 - 3*d - 2. Let v(g) = -2*g - 8. Suppose 100 = 2*k + 106. Let a be v(k). What is n(a)? -4 Let c(d) = 6*d**3 - 12*d**2 - 11*d - 11. Let o(x) = -5*x**3 + 11*x**2 + 10*x + 10. Let m(j) = -6*c(j) - 7*o(j). Calculate m(-3). -10 Let m(n) = 3*n**3 - n**2 - n. Let l(q) = q - 16. Let j be (-21)/(-28) + 114/8. Let z be l(j). Determine m(z). -3 Let p(k) be the second derivative of k**3 - k + 75. Calculate p(-10). -60 Suppose -x + 9 = 2*u, 5*u + 4*x = 3*u + 6. Suppose u*l = -4*l. Let m(o) be the third derivative of o**4/24 + o**3/2 - o**2. Give m(l). 3 Suppose -5*c = 4*s - 7, 2*c - 5 + 7 = 0. Let l(v) be the third derivative of 0*v**s + 1/12*v**4 - 3*v**2 + 0*v + 0. What is l(-6)? -12 Let v(z) be the third derivative of -z**5/60 - z**4/8 - z**3/2 - 34*z**2. Let d(l) = 2*l - 36. Let f be d(15). Calculate v(f). -21 Suppose -5*d + 45 - 73 = j, 3*j + 19 = -2*d. Let v(t) = -2*t**2 + t + 2. Let b(y) = -2*y**2 + 2. Let k(u) = 4*b(u) - 3*v(u). What is k(j)? -7 Let y(g) be the third derivative of g**6/144 + g**5/120 + 5*g**4/12 + g**2. Let h(r) be the second derivative of y(r). Give h(-2). -9 Let g(z) be the third derivative of -z**5/60 - 23*z**4/24 - 21*z**3/2 + 335*z**2. What is g(-20)? -3 Let s(i) = -i**2 - 9*i - 10. Suppose 0 = 6*b - 7 + 55. Give s(b). -2 Let x(r) = 42*r - 1 + 1 - 40*r. Suppose -7*w = -16*w - 27. What is x(w)? -6 Let t = -5 - -3. Let p(h) = 9*h. Let j(v) = 17*v. Let q(n) = 4*j(n) - 7*p(n). Let k(z) = 9*z - 1. Let m(a) = 3*k(a) - 7*q(a). Give m(t). 13 Let z(c) = -c**2 + 8*c - 11. Let y be 16 + (-6 - -7 - 9). Give z(y). -11 Let o = 28 - 31. Let z(i) = -i - 4. Let n be z(-8). Let t(u) = 7*u**2 - 6*u - 1. Let c(x) = 8*x**2 - 5*x - 1. Let y(g) = n*c(g) + o*t(g). Determine y(-1). 12 Let a(o) be the second derivative of o**3/6 - 11*o**2/2 + o. Let g = 4080 - 4075. Give a(g). -6 Let d(m) = -3*m**2 - 2*m + 2. Let c be d(-2). Let r(g) = -g**2 - 3*g + 1. Let l be r(-5). Let s = c - l. Let k(y) = y**3 - 4*y**2 + 2. Give k(s). -7 Suppose 8*j - 10*j = 6. Let b be 4/(-14)*(j + -4). Let z(a) = 1 - 5*a**2 - 30*a + b*a**2 + 32*a. Determine z(2). -7 Let g(z) = z**2 + 8*z + 1. Let k(d) = -3*d**2 - 17*d - 1. Let j(f) = f**3 + 6*f**2 - 16*f - 2. Let h be j(-8). Let c(r) = h*k(r) - 5*g(r). Determine c(6). -3 Let y = 12 + -15. Let u(b) = b**2 - 4. What is u(y)? 5 Suppose 2*t + 496 = -29*t. Let u(a) = a**3 + 17*a**2 + 18*a + 12. Calculate u(t). -20 Suppose -2*t - v = 12 - 3, -5*t = -5*v + 30. Let p(d) = -d**2 - 5*d - 7. Determine p(t). -7 Suppose -5*h - 3*r + 95 = 0, 2*r - 20 = -3*h + 37. Let b = -21 + h. Let n(u) = 2*u + 8. Let q(o) = -1. Let y(t) = -n(t) - 10*q(t). Determine y(b). 6 Let p = 638 - 651. Let k(i) = i**2 + 11*i - 23. Determine k(p). 3 Let d(r) = -r**3 + 8*r**2 - 6*r - 6. Suppose 303 - 7 = -4*f. Let u = -67 - f. Calculate d(u). 1 Let a(r) be the third derivative of -r**4/6 - r**3/6 + r**2. Let h be 9 - (-2 - 0)*-4. Determine a(h). -5 Let v(a) = 3 + 3*a - a**2 - 8*a**3 + 9*a**3 + 4*a**2. Calculate v(-3). -6 Suppose 6*y - 10 = y. Suppose y*z = 5*t + 97, 0 = 5*t - 4*z - 48 + 137. Let b = 19 + t. Let o(n) = n**2 - 2*n - 3. Give o(b). 5 Let g(w) = -10*w + 3. Let o be (-9 + (-352)/(-40))*-5. Determine g(o). -7 Suppose 11 = 2*b + 9. Let w(y) = -6*y + 1. Determine w(b). -5 Let j(t) = -2*t**2 - 2 + 2*t**2 + t**2 - 5*t. Let l be ((-32)/12)/(56/(-84)). Give j(l). -6 Let w be (186/217)/(1/(28/1)). Let j = -13 + 31. Let n = j - w. Let t(f) = -f - 5. What is t(n)? 1 Let n be (-15)/12 - 1/(-4). Let t(d) be the second derivative of 1/4*d**5 + 1/6*d**3 + 2*d + 0*d**4 + 1/2*d**2 + 0. Give t(n). -5 Let b(u) = -u**2 + u - 11. Let y(k) = 7*k**3 + 2*k. Let m be y(2). Suppose -5*s = -2*s - m. Suppose 4*p - 16 = -4*c, 10*c - 5*c = -4*p + s. Calculate b(p). -11 Let z(c) = 3*c - 5. Let q(j) = -j + 1. Let m = 17 + -11. Let r(s) = m*q(s) + z(s). Let x(b) = -b**2 + 8*b - 4. Let k be x(7). Calculate r(k). -8 Let d(s) = -s - 1 + 3 - 6. Suppose -1 - 20 = -7*i. Suppose -5 - 3 = -2*y, m + 9 = i*y. What is d(m)? -7 Suppose 5*t = 2*d - 430, d - 2*d - 4*t = -241. Let p be (-6)/8 + d/60. Let b(y) = -3*y - p + y + 9 - 2. Give b(6). -8 Let i be (-112)/(-63) - (-1 - (-28)/36). Let w(v) = v**2 - 2*v + 2. Calculate w(i). 2 Let b(t) = 2*t**2 - 3*t + 2. Suppose -5*u - h - 102 = 0, 2*u = 3*u - 3*h + 30. Let d(n) = -n**3 - 6*n**2 + n - 13. Let a be d(-6). Let o = a - u. What is b(o)? 4 Let f(h) be the first derivative of 5*h**3/3 + 4*h**2 - h + 37. Let u(s) = -11*s**2 - 17*s + 3. Let l(g) = 13*f(g) + 6*u(g). What is l(4)? -3 Let a(t) = 0*t - 6*t - 2*t + t + 3. Let m(l) = l**3 + l + 3. Let v be m(0). Give a(v). -18 Let s(i) = -5*i + 17. Let v be s(2). Let t(o) = o**2 - 5*o - 3. Determine t(v). 11 Let y(p) = 10*p**2 + 3*p + 7. Let z be y(-2). Let v = z - 35. Let w(q) = q**2 - 6*q + 9. Give w(v). 9 Let u(w) = -67*w - 2*w**3 - 1 - 2 + 70*w + 4*w**2. Let k(p) = -3*p**3 + 3*p**2 + 2*p - 2. Let j = 0 + -3. Let x(y) = j*k(y) + 4*u(y). Give x(-6). -6 Let c = 5 - -1. Let y be (-1
{ "pile_set_name": "DM Mathematics" }
s in 9*a**3 - 122*a + 122*a. 9*a**3 Collect the terms in -3296*h**2 - 986*h**2 + 949*h**2. -3333*h**2 Collect the terms in -332 + 332 - 8*u**2. -8*u**2 Collect the terms in -1394*d**3 + 0 + 0 + 1309*d**3. -85*d**3 Collect the terms in -5*o + 3*o - 2*o. -4*o Collect the terms in -26610274*z**2 + 26610274*z**2 - 3*z**3. -3*z**3 Collect the terms in 42*u**2 + 55*u**2 - 87*u**2. 10*u**2 Collect the terms in -61*y**2 - 4 + 39*y**2 + 4. -22*y**2 Collect the terms in 13 - 5 - 8 - 7*k. -7*k Collect the terms in -5*s**2 - 2*s**2 + 5*s**2. -2*s**2 Collect the terms in 13*a + a**2 - 10*a - 3*a. a**2 Collect the terms in -19 + 3*w - 7*w + 0 + 6*w. 2*w - 19 Collect the terms in -100 - 108 + 208 + 23*g**3. 23*g**3 Collect the terms in -1496*t**2 + 752*t**2 + 748*t**2. 4*t**2 Collect the terms in 4*t + 6*t + 78*t. 88*t Collect the terms in -125*c**3 + 115*c**3 - 7 + 2. -10*c**3 - 5 Collect the terms in -22*q**2 - 37*q**2 - q + 71*q**2. 12*q**2 - q Collect the terms in -100*a**2 - 92*a**2 + 196*a**2. 4*a**2 Collect the terms in 32 - 19 - 7*m - 11 - 2. -7*m Collect the terms in 66 + 75 + 6*p - 142 + 3*p. 9*p - 1 Collect the terms in 2713 - 5*p + 10*p - 7*p - 2713. -2*p Collect the terms in -565*w + 565*w - 6*w**2. -6*w**2 Collect the terms in 156*h**3 + 9*h**2 - 9*h**2. 156*h**3 Collect the terms in 181*i - 546*i + 188*i + 176*i. -i Collect the terms in -2661 - 2646 + 2*i - 2663 + 7970. 2*i Collect the terms in 43*u**3 - 97*u**3 + 58*u**3. 4*u**3 Collect the terms in -r - 2*r + 37 - 2*r. -5*r + 37 Collect the terms in 3*n**2 + 6*n**2 - 9*n**2 - 2*n**3. -2*n**3 Collect the terms in -2*m**2 + 0*m**2 + 3*m**2 + 0*m**2. m**2 Collect the terms in -289 + 289 + y**2. y**2 Collect the terms in 21*v**2 + 19*v**2 - 57*v**2 + 18*v**2. v**2 Collect the terms in 7*s**2 + 22*s**3 - 7*s**2 - 24*s**3 + 0*s**2. -2*s**3 Collect the terms in 6 - w**2 + 2*w**2 - 1. w**2 + 5 Collect the terms in 41*j - 74*j - 51*j. -84*j Collect the terms in 6 - 1 + 0 - 5 + 5*n. 5*n Collect the terms in 6*c**2 - 11*c**2 - 2*c**2 + 5*c**2. -2*c**2 Collect the terms in -4*s + 6*s + 7*s - 3*s. 6*s Collect the terms in 31 + 6*r - 13 - 12 - 6. 6*r Collect the terms in 13*r**2 - 4*r**2 - 13*r**2. -4*r**2 Collect the terms in -13*x + 9*x + 3*x. -x Collect the terms in -19 + 5*m**3 + 19. 5*m**3 Collect the terms in -5 - 7*d + 2 + 2. -7*d - 1 Collect the terms in 10*r**3 - r**3 + 492 - 492 - r**3. 8*r**3 Collect the terms in -6*i + 9*i + 2*i + 2*i. 7*i Collect the terms in -2*v**2 - 75*v**3 + 2*v**2 + 2*v**2. -75*v**3 + 2*v**2 Collect the terms in -s + 5*s + 6 - 6. 4*s Collect the terms in -34835 + 2*b**2 + 34835 - b**2. b**2 Collect the terms in 1058*q - 532*q - 530*q. -4*q Collect the terms in 675*u - 336*u - 342*u. -3*u Collect the terms in -12 + 18*j + 12. 18*j Collect the terms in 1 + 679*n**3 - 677*n**3 - 1. 2*n**3 Collect the terms in -79*c**2 - 71*c**2 + 159*c**2. 9*c**2 Collect the terms in -58*l**3 + 20*l**3 + 37*l**3. -l**3 Collect the terms in 29 - 11*a**2 + 34*a**2 + 33 - 62. 23*a**2 Collect the terms in -16 - 7 + 29 - 7 - s. -s - 1 Collect the terms in 141*t**3 + 4 - 78*t**3 - 69*t**3 - 4. -6*t**3 Collect the terms in -5*t**3 + 3*t**3 - 17*t**3. -19*t**3 Collect the terms in 7*n - n + 54 - 2*n - 5*n. -n + 54 Collect the terms in -589 + 2*s + 589. 2*s Collect the terms in 7*z**3 + 19*z**3 + 17*z**3 - 37*z**3. 6*z**3 Collect the terms in -257*a**3 + 3 + 127*a**3 + 134*a**3 - 1 + 2. 4*a**3 + 4 Collect the terms in 0*w**2 - 3*w**2 + 6*w**2. 3*w**2 Collect the terms in -4*y**2 - 11*y**2 - 9*y**2 + 25*y**2. y**2 Collect the terms in 12*j**2 + 2*j**2 + 7*j**2 + 13*j**2. 34*j**2 Collect the terms in -2*p**2 + 1323*p - 1323*p. -2*p**2 Collect the terms in -39*k**2 - 86*k**2 - 48*k**2. -173*k**2 Collect the terms in -1300*a + 2607*a - 1295*a. 12*a Collect the terms in 9*m + 7 - 7 - 4*m. 5*m Collect the terms in -c**2 + 362*c + 302*c - 664*c. -c**2 Collect the terms in 25*m**3 + 22*m**3 - 40*m**3. 7*m**3 Collect the terms in -3*r**2 + 0*r**2 - 5*r**2. -8*r**2 Collect the terms in 497*g - 16*g**2 - 497*g. -16*g**2 Collect the terms in -752*d - 5*d**2 + 752*d. -5*d**2 Collect the terms in -6*c + 10*c - 13*c. -9*c Collect the terms in 7*y + 0*y + 10*y**2 - 7*y. 10*y**2 Collect the terms in 4*q**2 + 2*q**2 + q**2 + 5*q**2 - 10*q**2. 2*q**2 Collect the terms in -25*s**2 + 4*s**3 - 2*s**3 - 2*s**3 + 2*s**3. 2*s**3 - 25*s**2 Collect the terms in 27*h - 5*h**2 - 14*h - 15*h. -5*h**2 - 2*h Collect the terms in 2*a + 7 - 17 - 3*a + 10. -a Collect the terms in 6*u**2 - 18*u**2 + 4*u**2 + 6*u**2. -2*u**2 Collect the terms in -3 + 4 - 1 - 15*n**3. -15*n**3 Collect the terms in -d + 2*d - 5*d. -4*d Collect the terms in 385*p**3 - 183*p**3 - 192*p**3. 10*p**3 Collect the terms in -4282*d + 4283*d - 3484 + 3484. d Collect the terms in s**3 + 18*s**3 - 8*s**3. 11*s**3 Collect the terms in -n**2 - 159*n**3 + 465*n**3 + 169*n**3. 475*n**3 - n**2 Collect the terms in -224*s + 70*s - 129*s. -283*s Collect the terms in 1 + 5*w**2 + 7 - 8. 5*w**2 Collect the terms in 474*d**3 - 942*d**3 - 4 + 4 + 469*d**3. d**3 Collect the terms in 10*x**2 + 4*x**2 + 25*x**2 - 3*x**2. 36*x**2 Collect the terms in 12*z + 15 - 15. 12*z Collect the terms in 64485*v**2 - 64485*v**2 - 3*v**3. -3*v**3 Collect the terms in 19*j - 8 - 39*j + 8. -20*j Collect the terms in -3*q**2 + 6*q**2 - 12*q**2. -9*q**2 Collect the terms in 4861*o**3 - 4860*o**3 + 0*o**2 + 0*o**2. o**3 Collect the terms in -9*x**3 - 40*x**3 - 122*x**3. -171*x**3 Collect the terms in -6*u**2 + 2*u - 40 - 4 - 4*u. -6*u**2 - 2*u - 44 Collect the terms in -2*i**3 + 51*i - 102*i + 51*i. -2*i**3 Collect the terms in -3793*a + 3793*a - 50*a**3. -50*a**3 Collect the terms in 3*x**2 - 1044 + 2080 - 1036. 3*x**2 Collect the terms in -3*n**2 + 12*n**3 - 3*n**2 + 6*n**2. 12*n**3 Collect the terms in 381*m**3 - 194*m**3 - 189*m**3. -2*m**3 Collect the terms in -230 - 32*g**2 - g**3 + 230. -g**3 - 32*g**2 Collect the terms in 496*v**2 + v + 90*v**2 - 2*v. 586*v**2 - v Collect the terms in 17*p**2 + 13*p**2 - 4*p**3 + 16*p**2 - 46*p**2. -4*p**3 Collect the terms in 89 + 2*j - 89. 2*j Collect the terms in 7*d**2 - 21*d**2 + 14*d**2 + 2*d**3. 2*d**3 Collect the terms in -36*s + 3*s**3 - 22*s + 81*s - 23*s. 3*s**3 Collect the terms in -4*s**3 - 616 + 616. -4*s**3 Collect the terms in -4 + 4 - 80*d + 397*d. 317*d Collect the terms in -m**3 + 4*m**3 + 8*m**3 - 5*m**3. 6*m**3 Collect the terms in 1124 - 1124 - 2*n**3. -2*n**3 Collect the terms in -3*k**2 + 10*k**2 - 3*k**2. 4*k**2 Collect the terms in 395 - h**3 + 2*h**3 - 198 - 197. h**3 Collect the terms in -5*d**2 + 11*d**2 - 5*d**2 + 0*d**2. d**2 Collect the terms in 49*m**3 - 41*m**3 - 10*m**3. -2*m**3 Collect the terms in o**3 + o - 67*o**2 - o + 0*o. o**3 - 67*o**2 Collect the terms in -2212*s**2 + 2212*s**2 + 12*s**3. 12*s**3 Collect the terms in 208*y**2 + 0 - 416*y**2 + 207*y**2 + 0. -y**2 Collect the terms in -26*f**2 - 23*f**2 - 21*f**2 + 69*f**2. -f**2 Collect the terms in -12*c - 34*c + 17*c. -29*c Collect the terms in 3*l**2 - 3*l**2 - 400*l**3 - 16*l + 402*l**3. 2*l**3 - 16*l Collect the terms in 1056*c**3 + 4*c - 4*c - 51*c**3. 1005*c**3 Collect the terms in 2*a**2 - a**2 + 2*a**2 + a**2. 4*a**2 Collect the terms in -15*w**3 + 4*w**3 + 0 + 0. -11*w**3 Collect the terms in -10*u**3 - 8*u**3 + 21*u**3. 3*u**3 Collect the terms in 26*x - 28*x - 15*x - 5. -17*x - 5 Collect the terms in 3*v**3 - v**3 + 18076*v**2 - 18076*v**2. 2*v**3 Collect the terms in 10*m**3 - 9*m - 13*m + 2*m**3 + 22*m. 12*m**3 Collect the terms in -8 - 9 + 28 + 5*w**3 - 11. 5*w**3 Collect the terms in -2*h**3 - 11*h**3 - 2*h**3 + h**3. -14*h**3 Collect the terms in 69 - 69 + 12*s**2. 12*s**2 Collect the terms in -18*n**3 - 24*n**3 - 26*n**3 + 9*n**3. -59*n**3 Collect the terms in 44*d - 29*d - 5*d. 10*d Collect the terms in -2*b + 72*b**2 - 8*b**2 + 2*b. 64*b**2 Collect the terms in 472 + r**3 - 228 - 244. r**3 Collect the terms in n**2 + 3*n**2 - 6*n**3 - 28*n**2. -6*n**3 - 24*n**2 Collect the terms in 0 - 34*k + 40*k - 1 - 18*k. -12*k - 1 Collect the terms in -219*b**2 + 25*b**2 + 30*b**2 - 74*b**2. -238*b**2 Collect the terms in -1116*f**3 + 372*f**3 + 371*f**3 + 374*f**3. f**3 Collect the terms in -8*t**2 + 189*t**3 + 8*t**2. 189*t**3 Collect the terms in -5
{ "pile_set_name": "DM Mathematics" }
ee letters picked without replacement from {q: 7, y: 6, m: 1, t: 3}. 7/1360 What is prob of sequence xc when two letters picked without replacement from {e: 10, c: 2, x: 3}? 1/35 Three letters picked without replacement from ywhhuujuujuju. What is prob of sequence huu? 5/143 Calculate prob of sequence bwgb when four letters picked without replacement from gbwwwbzbwbbbbbbbzkb. 55/11628 Calculate prob of sequence xs when two letters picked without replacement from {u: 1, c: 1, x: 2, y: 2, s: 2, m: 4}. 1/33 What is prob of sequence sl when two letters picked without replacement from {b: 2, s: 1, l: 6, f: 2, r: 4}? 1/35 Calculate prob of sequence vt when two letters picked without replacement from qqoqmtqqtwqqqvqtoqq. 1/114 Three letters picked without replacement from staaasaatasaattss. What is prob of sequence sas? 2/51 Three letters picked without replacement from {s: 1, q: 1, r: 1, v: 1, x: 2, c: 1}. Give prob of sequence xxr. 1/105 What is prob of sequence lrxr when four letters picked without replacement from {r: 8, x: 4, l: 1}? 28/2145 Three letters picked without replacement from {q: 1, l: 1, z: 4, f: 2, e: 1, g: 3}. What is prob of sequence qel? 1/1320 Two letters picked without replacement from {g: 11, k: 5}. Give prob of sequence gk. 11/48 Four letters picked without replacement from nnnnoonooonon. Give prob of sequence onoo. 7/143 Three letters picked without replacement from {n: 5, m: 1, b: 2, d: 4, z: 4}. What is prob of sequence bnd? 1/84 Two letters picked without replacement from {m: 7, s: 1}. What is prob of sequence sm? 1/8 Calculate prob of sequence lh when two letters picked without replacement from vhhmhvlvvvvv. 1/44 Three letters picked without replacement from {q: 1, n: 1, i: 2, v: 2, j: 2}. Give prob of sequence ijj. 1/84 Calculate prob of sequence nnun when four letters picked without replacement from {s: 1, k: 3, n: 6, r: 2, u: 1}. 1/143 Four letters picked without replacement from {s: 1, c: 1, y: 1, n: 1, o: 1}. Give prob of sequence ycsn. 1/120 Calculate prob of sequence rz when two letters picked without replacement from rrollazrrrzrl. 1/13 Calculate prob of sequence mzwv when four letters picked without replacement from sszmvwd. 1/840 What is prob of sequence td when two letters picked without replacement from tyyjd? 1/20 Four letters picked without replacement from kqdjyqqqkqqkq. What is prob of sequence jkkd? 1/2860 Four letters picked without replacement from {n: 4, z: 2, m: 1, s: 3}. What is prob of sequence mzzs? 1/840 Two letters picked without replacement from {a: 1, m: 3, n: 5}. Give prob of sequence aa. 0 What is prob of sequence jgg when three letters picked without replacement from xxaadjxggax? 1/495 Calculate prob of sequence uyy when three letters picked without replacement from yyuyyyyuyyu. 28/165 Two letters picked without replacement from {c: 14, f: 4}. Give prob of sequence cf. 28/153 Two letters picked without replacement from {u: 2, c: 3, g: 5, z: 3, i: 7}. What is prob of sequence ug? 1/38 Two letters picked without replacement from {u: 3, b: 3, j: 5, q: 1}. Give prob of sequence ub. 3/44 Two letters picked without replacement from {c: 1, r: 3, u: 2, h: 7, a: 3, y: 1}. Give prob of sequence ay. 3/272 What is prob of sequence kkc when three letters picked without replacement from pscokskp? 1/168 Four letters picked without replacement from {k: 8, s: 5, n: 1, g: 5}. What is prob of sequence sksn? 5/2907 Calculate prob of sequence tmm when three letters picked without replacement from {t: 2, m: 2}. 1/6 Two letters picked without replacement from rsuununnstnutt. What is prob of sequence ns? 4/91 Calculate prob of sequence nnn when three letters picked without replacement from nannna. 1/5 What is prob of sequence oo when two letters picked without replacement from {w: 15, o: 4}? 2/57 Four letters picked without replacement from xxpyaur. Give prob of sequence yaux. 1/420 Two letters picked without replacement from {p: 1, j: 2}. Give prob of sequence jp. 1/3 What is prob of sequence wwwd when four letters picked without replacement from wwwwwwdd? 1/7 Four letters picked without replacement from {n: 5, z: 3, a: 1, r: 1}. What is prob of sequence rann? 1/252 What is prob of sequence yef when three letters picked without replacement from {f: 2, e: 1, w: 3, y: 1, s: 1, r: 3}? 1/495 What is prob of sequence wpp when three letters picked without replacement from wwjnjpgpz? 1/126 What is prob of sequence ffjh when four letters picked without replacement from hfghfjffyyy? 1/330 What is prob of sequence shw when three letters picked without replacement from {l: 1, u: 1, h: 2, s: 2, y: 1, w: 1}? 1/84 Four letters picked without replacement from {q: 1, t: 2, g: 4, v: 3, z: 2}. Give prob of sequence zqzg. 1/1485 Calculate prob of sequence nb when two letters picked without replacement from bwxnixnbwbaxxwi. 1/35 Four letters picked without replacement from {d: 1, q: 7, w: 2, v: 4, p: 1, s: 3}. What is prob of sequence dqpd? 0 Two letters picked without replacement from {a: 5, s: 2, t: 2, e: 4}. Give prob of sequence ea. 5/39 Three letters picked without replacement from bmwbbwwcccmcwccmb. What is prob of sequence mwm? 1/170 Calculate prob of sequence oquu when four letters picked without replacement from {q: 3, u: 3, y: 6, o: 3}. 3/1820 What is prob of sequence ffyy when four letters picked without replacement from {y: 13, f: 3}? 3/140 Four letters picked without replacement from {p: 7, u: 1, b: 1, t: 1, d: 5}. Give prob of sequence tbdu. 1/6552 What is prob of sequence fii when three letters picked without replacement from {i: 2, f: 16}? 1/153 Calculate prob of sequence cyyy when four letters picked without replacement from {y: 18, c: 2}. 8/95 Two letters picked without replacement from {k: 8, u: 2, z: 7, o: 3}. Give prob of sequence zo. 21/380 What is prob of sequence ff when two letters picked without replacement from {f: 5, y: 9, b: 2, w: 2}? 10/153 Calculate prob of sequence qr when two letters picked without replacement from earraeeerrqqreeqrj. 1/17 Three letters picked without replacement from {l: 1, w: 1, c: 2, e: 6, d: 5}. What is prob of sequence ldc? 1/273 What is prob of sequence lghf when four letters picked without replacement from {f: 2, a: 2, h: 1, l: 1, g: 1, o: 1}? 1/840 What is prob of sequence afwm when four letters picked without replacement from {a: 1, k: 1, f: 2, m: 2, w: 1}? 1/210 Calculate prob of sequence sk when two letters picked without replacement from {h: 1, d: 1, k: 2, s: 5, g: 1}. 1/9 What is prob of sequence eee when three letters picked without replacement from eeeeeeveevezvvevvez? 55/323 What is prob of sequence ekk when three letters picked without replacement from {e: 1, k: 2}? 1/3 Calculate prob of sequence ax when two letters picked without replacement from lralxbgrrlx. 1/55 Two letters picked without replacement from phhhhhhhhphphh. What is prob of sequence pp? 3/91 Three letters picked without replacement from {c: 6, x: 2, m: 3, j: 2}. Give prob of sequence mjj. 1/286 Two letters picked without replacement from rwmr. What is prob of sequence wr? 1/6 Calculate prob of sequence kzk when three letters picked without replacement from zkkzkzz. 4/35 Calculate prob of sequence ujn when three letters picked without replacement from vnunjuuvu. 1/63 Four letters picked without replacement from {s: 4, j: 3, n: 13}. Give prob of sequence sjsn. 13/3230 Two letters picked without replacement from nnnhhnnnnhhhnnnnhn. Give prob of sequence nh. 4/17 What is prob of sequence zj when two letters picked without replacement from {t: 6, j: 3, z: 6, n: 4}? 1/19 Three letters picked without replacement from {q: 1, g: 1, n: 5, r: 1, l: 1, t: 3}. What is prob of sequence rqt? 1/440 Calculate prob of sequence ll when two letters picked without replacement from {e: 1, l: 2}. 1/3 What is prob of sequence ai when two letters picked without replacement from {b: 5, i: 1, l: 1, f: 3, a: 4}? 2/91 What is prob of sequence gggg when four letters picked without replacement from {g: 9}? 1 Calculate prob of sequence uuuu when four letters picked without replacement from unuuuun. 1/7 What is prob of sequence jll when three letters picked without replacement from fglnfngljngiifln? 1/560 Calculate prob of sequen
{ "pile_set_name": "DM Mathematics" }
mmon multiple of z and n. 24 Let d be (-1)/(-4) - 2425/4. Let o = -5465/9 - d. What is the common denominator of o and (-2)/7 + (-1298)/112? 72 Let g = 2870146079/37853700 - 5144/41325. Let c = -44064987/2290 - g. Let o = c + 19313. What is the common denominator of o and -101/12? 60 Let f(x) = -x**2 - 8*x - 5. Calculate the least common multiple of 8 and f(-6). 56 Let s = 2048 + -36973/18. Let n(d) = 5*d**3 + d**2 + d + 1. Let z be n(-1). Calculate the common denominator of 1*(1 + (-26)/z) and s. 18 Let k = -1448119/3710905 - 14/5995. Let f = k - -3809413/4952. Let j = f - 1551/2. Find the common denominator of j and -87/22. 88 What is the common denominator of 101/36 and 2 + 1 - (-10144)/(-2112)? 396 Suppose -2*q = 88 - 16. Suppose 2*j - 5*v = -18, 4*j - 3*j + v + 9 = 0. Find the common denominator of 211/q + 2/j and 31/6. 12 Suppose 6*o - 36 = 3*o. Let n(v) = v**3 + 4*v**2 + 2*v - 1. Let b be n(-2). Suppose 4*m - 18 = b*m. What is the lowest common multiple of o and m? 36 Let i = 4 + 10. Let o(a) = 2*a**3 - 19*a**2 + 8*a + 25. Calculate the lowest common multiple of i and o(9). 112 Let s be (4/(-10))/(2/(-10)). Suppose 4*g + 7*y = s*y + 59, 2*g - 5*y = 7. What is the lowest common multiple of 8 and g? 88 Let t = -5 + 1. Let b = 13 + t. What is the lowest common multiple of (-38)/(-6) + (-2)/6 and b? 18 What is the common denominator of (-539)/(-33) - (0 - 2) and 25/9? 9 Let j = -105472/20637 + -2/6879. Find the common denominator of j and 13/8. 72 Let r(x) = -x**3 - 4*x**2 - x + 2. Let f be r(-4). Let w = 14445/4 - 3633. What is the common denominator of (-146)/(-6)*f/16 and w? 8 Let l(z) = z**3 - 7*z**2 + 6*z - 12. What is the smallest common multiple of 9 and l(7)? 90 Let u = -58/15 + 21/5. Let f(n) = -n**3 + 7*n**2 - 2*n + 8. Let d be f(9). Let r = d + 1945/11. What is the common denominator of r and u? 33 Suppose -6 = 3*v - n, v - 3*n + 8 = -3*v. Calculate the smallest common multiple of 3 and -2*(63/v)/9. 21 What is the lowest common multiple of 18 and (2/6)/((-1)/9) + 27? 72 What is the common denominator of -69/4 and (-64)/80 + 334/(-320)? 32 Suppose 4*q + 4 = 4*h - 8*h, -2*h + 8 = -3*q. Calculate the common denominator of -81/16 and q/(-1) + (-153)/24. 16 Let n(o) = o + 6. What is the lowest common multiple of n(4) and 20? 20 Let s = -10 - -16. What is the smallest common multiple of s and 5? 30 What is the lowest common multiple of 4/22 - 548/(-11) and 30? 150 Let n(r) = -r**2 - r + 6. Let d be n(7). Calculate the common denominator of 93/2 and ((-36)/330)/(8/d). 22 Let j be -1 + 2 + 6 + 1. Let p = -73 + 257/3. Find the common denominator of -1 + 1 + (-22)/j and p. 12 What is the common denominator of (2/(-24))/(5/128) and -7/36? 180 Let z be (-45)/(-18)*(-88)/(-10). Let a = -8246 - -65801/8. Let j = a + z. Find the common denominator of j and -35/3. 24 Let c = -3 + 2. What is the common denominator of (-210)/(-44) - (2 - c) and 4/42*153/(-4)? 154 Let s be 2/((-3 - -1) + 0). Find the common denominator of 43/4 and (273/18 - 1) + s. 12 Let r be ((-6)/4)/1*2. Let l(g) = -g**3 - g**2 + 5*g - 1. What is the smallest common multiple of l(r) and 18? 18 Calculate the common denominator of (38/4)/((-1)/(-10)*22) and 103/42. 462 Suppose -2*s + 31 = 3. Let v = -30 - -44. Calculate the lowest common multiple of s and v. 14 Suppose 0 = -3*i + 4*j - 512, -3*i - 498 = 5*j - 2*j. Find the common denominator of (-1100)/i - (-4)/6 and -139/12. 84 Let y = -33115271/100 - -331147. Let i = y + 159/25. Find the common denominator of i and 59/16. 80 Let y be 6/15*5*18. Suppose -4 = 4*d - y. Calculate the lowest common multiple of d and 6/((-2 - -1) + 2). 24 Let j(s) = -2*s. Let r be j(-2). Let i = r + -4. Suppose 0 = -i*m - 5*m + 20. Calculate the lowest common multiple of 7 and m. 28 Let o = 8074 + -5563. Let a be 2 + -1 - (-10109)/(-4). Let t = a + o. What is the common denominator of t and 1/12? 12 Suppose l = -0*l + 4. Suppose -5*m - 2*v + 10 = -10, -5*m + l*v = -20. Calculate the least common multiple of m and 16. 16 Let d be 45/(-2)*16/(-10). What is the common denominator of (-5 - -2) + 242/d and 41/20? 180 Suppose -9 = -t - u, -21 = -5*t - u + 20. Calculate the least common multiple of t and 2. 8 Let w = -488 - -1941/4. Find the common denominator of 51/2 and w. 4 Let z be (-2)/4*4145/(-10). Let u = z - 209. What is the common denominator of u and -7/10? 20 Suppose 4*k + 0*k + 12 = 0. Let g be (-4)/16 + k/4. What is the smallest common multiple of 12 and g/4 + (-25)/(-4)? 12 Find the common denominator of (3 - (-262)/(-56))*1 and 111/10. 140 Calculate the smallest common multiple of 3*((-6)/2)/(-9) + 3 and 5. 20 Let y = 3/650 - -33117/7150. What is the common denominator of y and ((-1)/5)/((-8)/115)? 88 Let p = 28 + -23. Suppose p*d - 4*g - 14 = 0, 5*d - 25 = -4*g + 21. Calculate the smallest common multiple of d and 1. 6 Find the common denominator of 2/(-8) + (-1 - 146/136) and -21/10. 170 Suppose -2*w + 15 = 3*w. Suppose 0 = -w*v - 2*v - 4*a - 80, 4*a + 32 = -2*v. Calculate the common denominator of (-2)/(-1) + (-10)/v and -19/12. 24 Suppose 2*b - 38 = -6. Calculate the lowest common multiple of 4 and b. 16 Suppose 215 = 2*z + 41. Calculate the common denominator of 4/(40/z) - -1 and 22/3. 30 Let y be (-10)/16*112958/(-15). Let l = 4700 - y. Find the common denominator of l and 20/(-14)*805/(-60). 12 Calculate the common denominator of 5/18*(-2751)/(-70) and 13/22. 132 Let f(u) = 22*u**2 + u + 1. Let j be f(1). Let m = 32 - j. Calculate the least common multiple of 1 and m. 8 Let x = 95 - 53. Let n = -7 + x. Suppose 2*d + 3*d = n. What is the lowest common multiple of 3 and d? 21 Let y be 16/(-72) + (-266954)/(-144). Let z = y - 1848. Find the common denominator of -52/11 and z. 88 Let c be (-12)/(-28) + 375/7. Calculate the least common multiple of (2/(-6))/((-3)/c) and ((-3)/(-4))/((-3)/(-24)). 6 Let j = -19/69 + -1811/690. Find the common denominator of ((-86)/40)/((-5)/20) and j. 10 Calculate the lowest common multiple of 20 and 1/1 - (-17 - (4 - 8)). 140 Let r(g) = -17*g**3 - g**2 + g + 1. Suppose -4 + 5 = -l. Let t be r(l). Find the common denominator of 94/t - 2/(-2) and -41/10. 40 Let r be (-2 - 9/(-3))*0. Suppose r*l - o + 2 = -l, 2 = l - 5*o. Find the common denominator of ((-1)/6)/(l/(-303)) and -63/8. 24 Let b(t) = -t**2 - 6*t + 2. Let x(n) = 7*n - 20. Calculate the least common multiple of x(4) and b(-6). 8 Let j = 22 + -16. What is the lowest common multiple of j and (32/(-6))/(14/63*-1)? 24 Calculate the lowest common multiple of 18 and 4288/240 - (-2)/15. 18 Let r(y) = -y**3 - 9*y**2 - 9*y - 5. Let o be r(-8). Suppose 5*x = 5*k + 140, -x + 6 = -o*k - 24. Calculate the common denominator of -31/10 and x. 10 Let h = 0 - -2. Suppose 3*s + 16 = 3*w - 5*w, 5*s = 4*w + 32. Calculate the common denominator of (h/w)/((-1)/(-11)) and 43/8. 8 Suppose 0 = -5*o + 4*f + 233, 0 = 3*f + 2*f + 10. What is the common denominator of o/7 - (-6)/12 and -93/20? 140 Let g be (-2804)/160*(-3310)/4. Let k = g + -14508. Find the common denominator of (-3)/(84/50) - 2 and k. 112 Let w = -249773/30954 + -5/2211. Calculate the common denominator of w and 49/22. 154 Let t(p) = -19*p**3 - 2*p**2 + 1. Let l = -2 - -1. Calculate the smallest common multiple of t(l) and 22. 198 Let o be 4394/(-20) - 10/(-50). Let d = o - -209. What is the common denominator of d and 53/16? 16 Let r = 55 + 5. Suppose 7*n - 2*n = r. Calculate the common denominator of -10 and (3/(-4))/(n/100). 4 Let s be 16/(-10) - 10/25. Let o(n) = n**3 + 6*n**2 + 4*n - 1. What is the least common multiple of 3 - s/6*0 and o(-5)? 12 Suppose 4*l - g = 49, -1 = -2*g - 3. Suppose -f = 4*f + 2*z - 14, 4*f - 5*z = -2. Suppose 5*x - l = -f. Calculate the least common multiple of x and 8. 8 Suppose 5*d - d + 16 = 0. What is the lowest common multiple of 8 and -1 + -1 - 36/d? 56 Let c = 2 - -3. Let b(m) = m + 7. Let h be b(-7). Suppose q + 3*a - 1 = h, -q + 2 = q - 4*a. Calculate the lowest common multiple of q and c. 5 What is the smallest common multiple of 176/18 + (-34)/(-153) and 10? 10 Let t be 2/(-3)*(-36)/8. Let l be (2/t)/((-8)/(-36)). Suppose 20 = 5*i - l*i. What is the lowest common multiple of i and 20? 20 Let s = -3598 + 28749/8. Calculate the common denominator of 31/8 and s. 8 Supp
{ "pile_set_name": "DM Mathematics" }
sqrt(68)*-2) + sqrt(68))*6)/(sqrt(4) + (sqrt(32)*-2)/sqrt(8)). 24*sqrt(17) Simplify (((1 + sqrt(1872)*-1 - (sqrt(1872)*1 + 5 + sqrt(1872)))*-4 + 5)*-2)**2*1*1. 24192*sqrt(13) + 1080036 Simplify (2*(-4*(sqrt(104) - ((sqrt(104) - sqrt(104)*1) + sqrt(104))) - -1*sqrt(104)*-6)/((3*sqrt(48)*1)/sqrt(6)))**2. 208 Simplify (2*(sqrt(5000) - sqrt(5000)*-1) + sqrt(5000)*-1*1)/(2*sqrt(1440) + -6*sqrt(10)*-2). 5*sqrt(5)/6 Simplify -5 + -3*-3*sqrt(13) + 1 + sqrt(468) + ((sqrt(26) + (sqrt(26) - ((sqrt(416) - sqrt(416)*2) + sqrt(26))))/((sqrt(12)/sqrt(6) + sqrt(2))*-3))**2. 181/36 + 15*sqrt(13) Simplify (5 + ((0 + sqrt(80) + -2 + sqrt(80) + sqrt(80))*-5 - (sqrt(80) + -5*2*sqrt(80) + -1*sqrt(80)*6)) + -5)**2. 100 Simplify -5*(((5 + sqrt(153))*1)**2 + sqrt(153)) - ((sqrt(119) + sqrt(119)*-1 + sqrt(119))*-2)/(sqrt(42)/(sqrt(12)/sqrt(2))). -890 - 163*sqrt(17) Simplify (-2*-3*(sqrt(1088) + 2 + 2 + sqrt(1088) + sqrt(1088) + (sqrt(1088)*1 - sqrt(1088))*-1) + 4)**2 + -2. 8064*sqrt(17) + 353294 Simplify -4*(3*(-2 + -2 + sqrt(1100) + 3) + 1)*3 + 0. -360*sqrt(11) + 24 Simplify (6*-2*(sqrt(209)*2 + sqrt(209) - sqrt(209))*-4)/(sqrt(275)*-4 + 6*sqrt(44)/sqrt(4)) + 4. -48*sqrt(19)/7 + 4 Simplify 2*((-2*sqrt(200)*-6 - sqrt(200))/sqrt(8))/(sqrt(10)/(sqrt(2) + 3*3*sqrt(2))). 220*sqrt(5) Simplify ((5*sqrt(152)/sqrt(4))/(sqrt(24)/(sqrt(24)/sqrt(2))))**2 - ((sqrt(38)*2*-4)/(4*sqrt(4)/sqrt(2)))**2. 399 Simplify (-2 + (4*(sqrt(2) - (sqrt(2) + sqrt(2) + 1)) - (-6*1*sqrt(2) - sqrt(2))))**2 + 4 + -2 + ((sqrt(20) + 1*sqrt(20) + sqrt(20))*-3)/(1*sqrt(1440)). -147*sqrt(2)/4 + 56 Simplify (1 + 1*sqrt(1100)*-5*-2 - 1*(-1*-1*sqrt(1100) + -4 + (sqrt(1100) - sqrt(1100)*-2)))**2. 600*sqrt(11) + 39625 Simplify ((sqrt(96)/(sqrt(36)/sqrt(3)) - sqrt(56)/(sqrt(14)/sqrt(2)))*-3)/((-2*sqrt(4)*-1 - sqrt(4)) + sqrt(484) + (sqrt(484) - (sqrt(484) - 4*sqrt(484)))). 0 Simplify ((-3*-3*sqrt(50)*-2)/((2*sqrt(110))/sqrt(11) - (sqrt(80)/sqrt(2) - sqrt(10))))**2*6. 9720 Simplify ((1*sqrt(468) - sqrt(52)) + sqrt(832)*3)/(-4*3*sqrt(16))*5. -35*sqrt(13)/12 Simplify -1 + (sqrt(192) + 0 - (3 + sqrt(12)/sqrt(4))) + (-1 + sqrt(27) - (sqrt(300) + -1 + sqrt(300)))**2 + -5. 7*sqrt(3) + 858 Simplify (sqrt(3300) + -3*sqrt(3300) + -5*(sqrt(33) + sqrt(231)/sqrt(7)))/((sqrt(121)*-1*3)/(sqrt(11) - 5*sqrt(22)/sqrt(2))). -40*sqrt(3) Simplify ((sqrt(91) + sqrt(91)*2*3)/(2*sqrt(448)) + ((sqrt(832) + 0)*-6)**2 + -4)*-2. -59896 - 7*sqrt(13)/8 Simplify 6*(-2 + (-5*(-1 + sqrt(112))*-5 + sqrt(112)*-1 + 3 + -4 + sqrt(112) + 0)**2). -31200*sqrt(7) + 424044 Simplify -1 + ((1*(sqrt(20) - sqrt(5)))**2 - (-5 + sqrt(5)*1)) + (sqrt(5)*1 + -4 - (sqrt(5) - (2 + sqrt(5) + 2))) + -2. 7 Simplify 5 + (3*(sqrt(119) + sqrt(119)*-1 + sqrt(119))*2)/((sqrt(49) - sqrt(245)/(sqrt(5)*-2))/sqrt(7)). 5 + 4*sqrt(17) Simplify 2 + ((sqrt(204) + ((sqrt(204) - sqrt(204)*1)*2 - sqrt(204)) + (sqrt(204) - sqrt(204)*1*5))*1)/(4*sqrt(108)/((sqrt(252)/sqrt(4))/sqrt(7))). -sqrt(17) + 2 Simplify (sqrt(114)/sqrt(6) + -4 - (sqrt(304) + -1)) + (-6*(sqrt(931) + -1 + 5))**2. 2013*sqrt(19) + 34089 Simplify (sqrt(70)/((sqrt(90) + sqrt(10))*2)*-3)**2 + ((sqrt(700) - -1*sqrt(700)) + 3 - -6*-2*sqrt(700))**2. -600*sqrt(7) + 4480639/64 Simplify -5 + (-5*(-3 + sqrt(192))*5 + 0 + -1 + 2 + sqrt(192))**2. -29184*sqrt(3) + 116363 Simplify 6*((4*sqrt(228) - (sqrt(2052) - sqrt(2052)*1))*2)/((sqrt(36)/(sqrt(3)*2))/((sqrt(8)/sqrt(2) + sqrt(4))*-6)). -2304*sqrt(19) Simplify (((sqrt(168) + (sqrt(168)*-1 - sqrt(168)) - sqrt(168))*-5 - sqrt(168)) + 5*sqrt(168)*1)/(6*2*sqrt(18)/sqrt(3)*4). 7*sqrt(7)/12 Simplify (((sqrt(171) + -2*-4*sqrt(171))*5*4)/((sqrt(108)/(sqrt(6)/sqrt(3)))/((sqrt(6) - (sqrt(6) + sqrt(36)/sqrt(150))) + sqrt(6) + sqrt(6))))**2. 1994544 Simplify (sqrt(162)/(sqrt(27)/sqrt(3) + sqrt(9)) + -2*(sqrt(72)/sqrt(4) + sqrt(18)))/((2*(sqrt(72) + sqrt(72)*2 - sqrt(72) - sqrt(72)))/(sqrt(72)*2 - sqrt(8))). -35*sqrt(2)/4 Simplify (sqrt(228)/(sqrt(240)/sqrt(5)) + sqrt(171)/(sqrt(36)*5))**2 - ((3*sqrt(304)*-5)**2 - ((sqrt(304)*2)**2 + 4)). -1679329/25 Simplify (sqrt(152)*5*2 - -3*2*sqrt(152))/(-5*sqrt(8)*5 + sqrt(8) - (sqrt(968) - sqrt(968)*-1)). -8*sqrt(19)/23 Simplify ((((sqrt(171) - ((sqrt(171) - (sqrt(171)*3 - sqrt(171))*-3) + sqrt(171))) + sqrt(171))*2)/((-5*sqrt(1575))/sqrt(7))*5)**2. 2736/25 Simplify (-4*((sqrt(153)*1 + sqrt(153) - sqrt(153)) + sqrt(153)) + 3*sqrt(153)*1)/(((sqrt(1296) - -2*sqrt(1296) - sqrt(1296)) + sqrt(1296))*-4*5). sqrt(17)/144 Simplify (-5*(sqrt(84) + (sqrt(84) + 1*sqrt(84) + sqrt(84) + sqrt(84) - sqrt(84)) - sqrt(84))*-3)/((sqrt(12) - sqrt(432))*4 + sqrt(108)/sqrt(324)) + -3. -270*sqrt(7)/119 - 3 Simplify (-1*sqrt(3888) + sqrt(27) + -6*-1*sqrt(27))/(-5*sqrt(729)*2 + -2*(sqrt(729) + (sqrt(729) - sqrt(729)*-2)) + sqrt(729)). 5*sqrt(3)/153 Simplify (1*sqrt(5000)*1*4)/((sqrt(640) - (sqrt(640) - 4*sqrt(640))) + sqrt(640) + sqrt(90)*-1 + sqrt(90)). sqrt(5) Simplify -5*((5*(4 + sqrt(84)/(5*sqrt(12))))**2 + -2*(sqrt(252) - (4 + 2*sqrt(252)))). -2075 - 260*sqrt(7) Simplify ((-1 + 5 + sqrt(1872) + (sqrt(1872) - (sqrt(1872) + 5 - sqrt(1872))*2) + -2)*3*-1)**2. -3456*sqrt(13) + 67968 Simplify (((sqrt(200) - sqrt(200)*-2) + sqrt(200))/sqrt(4))/(sqrt(10) + (3*(sqrt(10) + sqrt(10) + sqrt(10)*2) - sqrt(10))) + (-5*sqrt(10)*2)/(-1*sqrt(18)). 11*sqrt(5)/3 Simplify (sqrt(99) - (-3*1*sqrt(99) + sqrt(99)) - 5*-1*sqrt(99))/(sqrt(324) + -3*sqrt(324)*-2)*4. 16*sqrt(11)/21 Simplify (((sqrt(170) - (-1*sqrt(170) + sqrt(170))*-1) + -3*-2*sqrt(170))*3)/(sqrt(810)*-2*-4 - (sqrt(810) - (1*sqrt(810)*-5 + sqrt(810)))). 7*sqrt(17)/9 Simplify (-1*(-2*((2*sqrt(286))/sqrt(11) + sqrt(26)))/(sqrt(2) + (sqrt(128) - -1*sqrt(128)) - 1*sqrt(50)))**2. 13/4 Simplify (((sqrt(2400) + 1*sqrt(2400)*-3 - sqrt(2400))*-3)/((sqrt(16)*-1)/sqrt(2) + sqrt(8) + sqrt(8) + 1*sqrt(800) + sqrt(800) + sqrt(8)))**2. 6075/121 Simplify (-2*(-3*sqrt(192))**2 + (sqrt(192) + 0 + sqrt(192))*3 + -4*(0 + -4 + -1*sqrt(192)))*-1. -80*sqrt(3) + 3440 Simplify (1*(sqrt(256)*6 - sqrt(256) - sqrt(256)))/sqrt(8) - (sqrt(96)/(-3*sqrt(12)*-1))**2. -8/9 + 16*sqrt(2) Simplify -4 + (2 + sqrt(1377) + 5 + (sqrt(1377) - (4 + sqrt(1377))) + -4)**2 + 1 + -5. -18*sqrt(17) + 1370 Simplify 3*(-1*(-5 + (-1*sqrt(68) + sqrt(68) + -4 + -1 + 1 + sqrt(68) - (-1 + ((0 + sqrt(68))*-1 - sqrt(68))))))**2. -288*sqrt(17) + 2028 Simplify (-6*sqrt(250))/(sqrt(5)*1*-3 + sqrt(5)) + -6*(sqrt(72) + (sqrt(72) + (-3 + sqrt(72))*-6 + sqrt(72))**2 + sqrt(72)). -8856 + 5127*sqrt(2) Simplify -5*((sqrt(832) + (sqrt(832) + 1)*3 - 1*(sqrt(832) + -1))*5 - (1*sqrt(832) + sqrt(832) + 1 - (sqrt(832)*-3 + 5)))**2. -418880 - 19200*sqrt(13) Simplify (6*(sqrt(110) - 2*sqrt(110)*3)*3)/(4*(sqrt(10) - sqrt(10)*3) - sqrt(50)/(sqrt(5) - sqrt(125))). 360*sqrt(11)/31 Simplify (6*(sqrt(136) + (sqrt(136) + (sqrt(136)*5 - sqrt(136)))*-6 + sqrt(136)))/(5*(sqrt(1152) - -3*sqrt(1152))). -7*sqrt(17)/10 Simplify 2 + (-3 + sqrt(68)/sqrt(4) + sqrt(17) - sqrt(68)*4) + 3 + 5 + sqrt(2057) + 0 + sqrt(2057). 7 + 16*sqrt(17) Simplify (-5*(sqrt(490)*2 - sqrt(490)))/(sqrt(320)*6)*1. -35*sqrt(2)/48 Simplify (5*(5 + ((2*sqrt(132))/sqrt(11)*-2 - sqrt(48)/(sqrt(576)*-2)))*1)**2. -11875*sqrt(3)/6 + 255625/48 Simplify ((sqrt(66)*3 - sqrt(66))*6 - (sqrt(66) - (sqrt(66) + 3*sqrt(66)))*6)/(3*(sqrt(384) - (sqrt(384)*-1 - sqrt(384)))*-2). -5*sqrt(11)/24 Simplify 3*(-2*sqrt(32) + 0) + (sqrt(800)*2 - sqrt(24)/sqrt(3)*-1)**2 + 1. -24*sqrt(2) + 3529 Simplify sqrt(10)/(-1*sqrt(288)) + (sqrt(30)/sqrt(24) - (sqrt(5) + (sqrt(20) + sqrt(5))**2*-4)) + 4*4*(sqrt(720)*1 - sqrt(720))**2*4. -7*sqrt(5)/12 + 180 Simplify 5*(sqrt(260)/(sqrt(10) - ((sqrt(10)*-2 - sqrt(10)) + sqrt(10))) - -5*sqrt(26)*1)/(2*sqrt(2)*2 + sqrt(352)/sqrt(11))*2. 20*sqrt(13)/3 Simplify (sqrt(119) + 1*sqrt(119)*-1 - sqrt(119))/(sqrt(14)/(sqrt(2)*2)) + ((-2*sqrt(204)*6)/sqrt(12))**2 + -5 + -1. -2*sqrt(17) + 2442 Simplify ((sqrt(441) + -3*(-2*sqrt(441) + sqrt(441)))/(sqrt(225)*-3))/(sqrt(847)*4 + (sqrt(77)*1 + sqrt(77))/sqrt(11)). -2*sqrt(7)/345 Simplify (3*(sqrt(175) + 0) + sqrt(175) + 1)**2 + ((sqrt(7) - sqrt(1008)*-2)**2 + sqrt(7))*6 + 5. 46*sqrt(7) + 29056 Simplify 4 + 6*(sqrt(30)/sqrt(6) + -3) + (4*sqrt(5)*2 - -3*(sqrt(35)/sqrt(7) + sqrt(5) + sqrt(5))**2). 14*sqrt(5) + 121 Simplify (2 + (sqrt(75) + -2*(sqrt(75)*-3 - sqrt(75)) - -3*2*sqrt(75)) + -4)**2*-2. -
{ "pile_set_name": "DM Mathematics" }
5 What is -41312565 - 1964019? -43276584 What is 14 + -189.81940568? -175.81940568 What is -370.565449136 take away -1.1? -369.465449136 What is the distance between -2438897.9 and -7674? 2431223.9 Work out 5921791760 + -62791. 5921728969 Calculate -11198.83 - -34976525. 34965326.17 3266.8772+-3.83 3263.0472 Add together 1118746628266549 and 0.3. 1118746628266549.3 What is 2 plus 274981.020843? 274983.020843 Work out -5798 - -28.5244446. -5769.4755554 Work out 4987971.594703 - -3. 4987974.594703 What is 32243357 less than -2893.32? -32246250.32 Work out -9555729077 + 4178. -9555724899 What is 1680.0881729 less than 0.48? -1679.6081729 Add 2090 and 529.5925067. 2619.5925067 What is 0.158 take away 12940555454? -12940555453.842 What is 694.38 minus -3056928123? 3056928817.38 What is -1712006 minus 100206? -1812212 Subtract 24.99 from 2761.2718. 2736.2818 What is 4816 less than -1390.87183371? -6206.87183371 What is 332347132 + 0.14405? 332347132.14405 Total of 1.6 and -7569170693. -7569170691.4 What is 3564500334945 + -3? 3564500334942 What is the distance between 884115 and -134679? 1018794 0.1+-1717.36149 -1717.26149 Subtract 66.77 from 329133.41833. 329066.64833 Work out -1782 - 25645479.188. -25647261.188 Calculate -1287 + -12175882389. -12175883676 Subtract 9.66 from -38776818. -38776827.66 -99 - -93378591.44 93378492.44 What is the distance between -5 and -73812952652133? 73812952652128 -5019+-1356929.5 -1361948.5 Put together 5339 and -0.117877743. 5338.882122257 Put together -441038564 and 211845. -440826719 Total of 171625 and 2306.207403. 173931.207403 Add 23 and -37912.717925526. -37889.717925526 Total of -2 and 243785092940.54. 243785092938.54 -7 - -1689048507 1689048500 What is 20 - 6309535.14137? -6309515.14137 Put together 160.37 and 1898727353. 1898727513.37 -363 - 25.21769887 -388.21769887 What is -2.9308 - 84.383453? -87.314253 What is -297272022 minus -1252? -297270770 What is -4 less than -310309153094192? -310309153094188 372733850831.9 - -7 372733850838.9 Sum -13065 and 1419.41451. -11645.58549 Subtract 2564.95 from -111.24963. -2676.19963 Work out -0.1283 + -126542142459. -126542142459.1283 Work out -27.82795 - 84192278. -84192305.82795 -0.487 - 11158.03859 -11158.52559 Sum -9.81184 and -76751. -76760.81184 Add -56 and 181569841. 181569785 Calculate 997510722 + -3.78. 997510718.22 What is the difference between 2066598 and 1568883.4? 497714.6 Work out 113163488923 + -64. 113163488859 What is the difference between 8870429808 and 0.0159? 8870429807.9841 What is -245557 take away -18425.78? -227131.22 Subtract -601.69 from 10.46651. 612.15651 What is the difference between -13873.33 and 3742880? 3756753.33 What is -28403451398 plus -0.1594? -28403451398.1594 -44401708.9061+3 -44401705.9061 Subtract -170.442 from 32663.568. 32834.01 What is 5.8206 minus 262.158? -256.3374 What is -12621093428409 plus -3? -12621093428412 Calculate -0.12180503 - 7311.02. -7311.14180503 0.3076382 + -0.073382 0.2342562 Work out 56.9 + 0.06981273436. 56.96981273436 -5609 + -543894.103 -549503.103 Calculate 69.021 + -1449680. -1449610.979 What is -19.3012 + -93807919? -93807938.3012 -63159.586 - -1229209 1166049.414 Calculate -0.100391737 + 381326. 381325.899608263 Put together -7741745845117 and 0.9. -7741745845116.1 Work out 1 + 3.9865883729. 4.9865883729 -28.7 + 1088790551 1088790522.3 Total of -17388138481 and 2. -17388138479 What is -2024905655259 - -0.8? -2024905655258.2 What is -678 + 88300155? 88299477 What is -0.47 minus 394.9755746409? -395.4455746409 -0.2 - -14336232.027127 14336231.827127 Put together -978254 and 0.0588507865. -978253.9411492135 Calculate 614858721947 - 2. 614858721945 What is the distance between -110809178225560 and 2? 110809178225562 Subtract 589 from 41845605182. 41845604593 What is 717318.653 minus 0.074462? 717318.578538 Total of 227 and 1583319844. 1583320071 What is -581124644 take away -1.8? -581124642.2 Subtract 275783765.75 from 0.3. -275783765.45 Work out 15.65700297 + -2112. -2096.34299703 What is -10972196 take away 0.082702? -10972196.082702 What is 306372509250 plus 0? 306372509250 What is 3640737321540 + 1? 3640737321541 Work out -1.4 - -5.746081592. 4.346081592 What is -20 less than 572977798264? 572977798284 49168687.7 + 712 49169399.7 What is the distance between -23314999319 and -0.3? 23314999318.7 Work out -232155583.22 + 0.188. -232155583.032 What is -47.9 + -507.6759939? -555.5759939 Work out 82.6742 - -2.57106. 85.24526 What is 0.5 take away 774314176390? -774314176389.5 What is 173263732 take away 254136? 173009596 Subtract 14.3 from -1406929761. -1406929775.3 What is -199 + 23698221049? 23698220850 Add 7687182818 and -5109. 7687177709 1.29 - 1018.476872 -1017.186872 Work out 28305362 - -0.0319. 28305362.0319 What is 0.4 take away -0.0296431862356? 0.4296431862356 Put together -2.652894571 and -206. -208.652894571 Subtract 4896 from -368619714. -368624610 What is -1.463 plus -725596151? -725596152.463 Total of -3 and 887460818164. 887460818161 Put together -4 and -25202197361844. -25202197361848 What is the distance between 8.8 and 1152053382592? 1152053382583.2 Work out 1708747733.461 - -72. 1708747805.461 Work out -1168.036661 - -108. -1060.036661 Work out -0.02 - 97582245618. -97582245618.02 -481195041.8 + -2.362 -481195044.162 Work out -247.58654 + -34.7. -282.28654 Work out -121 + -544896352. -544896473 What is 478290.59 take away 2104295? -1626004.41 What is -24957162177 + -0.5? -24957162177.5 Calculate 6946413.50032 - -0.4. 6946413.90032 Work out -9652843 + -222950.79. -9875793.79 -1038595.09 - -15207 -1023388.09 Sum 4100171392 and 20.453. 4100171412.453 Add -8906417 and -18.22925. -8906435.22925 -0.55+363.03046229 362.48046229 Calculate -0.02973635571 - 20. -20.02973635571 What is -15 less than 8958423633.382? 8958423648.382 -0.032916293+-10143 -10143.032916293 -2.63 - -259486056.79 259486054.16 What is 0.731 - -182019.914? 182020.645 Work out 32567035 + -89.65. 32566945.35 -378381438 - -0.191959 -378381437.808041 What is 188481184892 less than 5? -188481184887 Work out 0.3413 - 1321277. -1321276.6587 What is -4.29 minus 429091684836? -429091684840.29 What is 783061 plus -6933719? -6150658 What is -0.080743 + -2357946? -2357946.080743 Work out -88474534102.891 - -0.3. -88474534102.591 What is -4 take away 1.17084912386? -5.17084912386 -4707523646 - -0.315595 -4707523645.684405 What is -14.3719 plus 38.4601? 24.0882 Add together -756959 and 4.06862. -756954.93138 Work out -0.02783474 + 8195.36. 8195.33216526 What is 12 less than 1603307618554? 1603307618542 Calculate -193193735052004 + -2. -193193735052006 Sum 0.5 and 107088.416371. 107088.916371 What is 65.898 + -41374139? -41374073.102 Sum -449.6276528 and -144485. -144934.6276528 What is -10021 + 441760560? 441750539 What is -450.841207444 - 154? -604.841207444 Work out 4945 - -9354392169. 9354397114 6307+42999995356 43000001663 Add -9.3359612151936 and -8. -17.3359612151936 What is the difference between 39728.3012244 and 3.1? 39725.2012244 Total of -0.0012 and 487.272154855. 487.270954855 What is -1729220326262 less than 107? 1729220326369 What is -53238084666 take away -0.4? -53238084665.6 -142285310484077 + 3 -142285310484074 Add together 469690804 and 4841. 469695645 What is -5833.517323419 less than -0.4? 5833.117323419 -27732569.072 - -0.2 -27732568.872 Sum 133350 and 0.3378757358. 133350.3378757358 Calculate -5.6 + 28194011.233. 28194005.633 -280196120 + 0.0595568 -280196119.9404432 What is the distance between -297092791718958 and 0.5? 297092791718958.5 Sum 5671070222 and -1199. 5671069023 Calculate 79 - 1129992050. -1129991971 What is -1449.6 less than 38191434627? 38191436076.6 -61637176241+-20.2 -61637176261.2 Add -151457198 and 43865. -151413333 Total of 455681329.26 and -0.04. 455681329.22 Work out 2 - 952948728. -952948726 What is 2869003417293 plus -5? 2869003417288 Total of 18551512 and 30387. 18581899 Work out 3.36 - 163247.048. -163243.688 Total of -423512 and -4586232. -5009744 Calculate -1308021 + -30860. -1338881 What is the difference between -8891424541 and -0.846? 8891424540.154 Add 314065527 and 1591. 314067118 Work out 116 - -53848721.7. 53848837.7 -3.13 + -773461527755 -773461527758.13 Calculate -42 +
{ "pile_set_name": "DM Mathematics" }
4*a**2*v**2 - 8*a*v**3 - 10*a*v**2 - 301*a - 191*v**4 + 1 wrt v? -6*a**2 - 48*a - 4584*v What is the third derivative of 55*g**5 + 631*g**4 - 67*g**2 - 2*g - 309? 3300*g**2 + 15144*g What is the third derivative of 4*w**5 - 133*w**4 - 5*w**3 - 12*w**2 - 4*w - 10? 240*w**2 - 3192*w - 30 What is the third derivative of -67014*w**3 - 2*w**2 + 649*w + 3 wrt w? -402084 Differentiate -6756*b**4*f**3 + 2*b*f**3 + 4991*f**3 wrt b. -27024*b**3*f**3 + 2*f**3 Differentiate -433917*w**2 + 455769 wrt w. -867834*w What is the third derivative of -689045*j**6 - 65*j**2 - j + 804 wrt j? -82685400*j**3 What is the third derivative of -170*k*y**5 - 109*k*y**2 + 15*k + 1542*y**5 + 34 wrt y? -10200*k*y**2 + 92520*y**2 Find the second derivative of 17*g*z**2 - 161*g*z - 376*g - 1203*z**3 wrt z. 34*g - 7218*z What is the first derivative of 33*v**3 - 620*v - 169656 wrt v? 99*v**2 - 620 What is the second derivative of -645680*i**4 + 40*i - 1560 wrt i? -7748160*i**2 Differentiate -a**2 - 10781*a + 11815 with respect to a. -2*a - 10781 Find the third derivative of 689573*l**3 + 475204*l**2 + 2*l wrt l. 4137438 What is the first derivative of 39323*o**2 + 3035? 78646*o Find the first derivative of 295*a**3 - 7*a**2 - 15*a + 444346. 885*a**2 - 14*a - 15 Find the third derivative of 43550*h**6*x + 3*h**3*x**2 + 181*h**2*x**2 - 6*h**2 - 2*x**2 wrt h. 5226000*h**3*x + 18*x**2 What is the second derivative of -126253*l*r**2 + l*r - 24791*l - r**2 - 14 wrt r? -252506*l - 2 What is the derivative of -a*b*x**4 + 4*a*b*x**2 + 29*a*b + 301*a*x - b + 762 wrt x? -4*a*b*x**3 + 8*a*b*x + 301*a What is the second derivative of 38995*a**2 - 29063*a? 77990 Find the second derivative of 9*p**3*x**3 - 65*p**3*x - 6*p**3 - 25846*p*x**5 - 174 wrt x. 54*p**3*x - 516920*p*x**3 Find the second derivative of 2266779*g**2 + 2824177*g wrt g. 4533558 What is the derivative of 2*l*n**2 - 4910*l*n + 30*l + 2*n**2 + 262*n + 157 wrt l? 2*n**2 - 4910*n + 30 Find the third derivative of 13*s**5*u + 2*s**5 - 47*s**3*u - 286*s**2 - 12*u - 3 wrt s. 780*s**2*u + 120*s**2 - 282*u Find the second derivative of 888009*c**4*n - 1051006*c*n wrt c. 10656108*c**2*n Find the third derivative of 42468*h*n**3 - h*n**2 + n**3 + 146*n**2 - 182 wrt n. 254808*h + 6 Find the first derivative of 7*j**2*k**2 + 3877*j**2*k + 3*j**2 - 2*j*k - 3812*j - 7 wrt k. 14*j**2*k + 3877*j**2 - 2*j Differentiate 105*f**3 + 8*f**2 - 7*f + 1230 wrt f. 315*f**2 + 16*f - 7 What is the second derivative of 2*m**4 + 26159*m**3 + 4*m**2 + 4597*m + 4? 24*m**2 + 156954*m + 8 What is the third derivative of -2*t**6 - 1123678*t**5 + 3*t**2 - 206633 wrt t? -240*t**3 - 67420680*t**2 What is the third derivative of -23865*w**3 + 20*w**2 + 46*w - 3 wrt w? -143190 Differentiate -265361*w - 157571 with respect to w. -265361 Find the first derivative of -542109*f**4 - 1159049 wrt f. -2168436*f**3 Find the first derivative of 1552934*m + 841884. 1552934 Differentiate 6384*u**3 - 4*u**2 + 5*u + 36349 wrt u. 19152*u**2 - 8*u + 5 Find the first derivative of 3*v*y - 8066*v - 4*y + 378 wrt v. 3*y - 8066 What is the third derivative of 4531*b**4*c**2*v**3 + 3*b**3*c**2*v + 10*b**2*c**2*v**2 + 11*b**2*v**2 - b*c**2*v + b*v**3 + 18*v**2 wrt b? 108744*b*c**2*v**3 + 18*c**2*v What is the second derivative of -6835*k*p**4 - 175*k*p + 85*k + 2*p**4 wrt p? -82020*k*p**2 + 24*p**2 Find the first derivative of 51195*x**2 + 47799. 102390*x Differentiate -62*a**3*q + a*q + 389*a - 341470*q with respect to a. -186*a**2*q + q + 389 What is the derivative of -456*k*u + 43961*k + 448*u**2 - 6 wrt u? -456*k + 896*u What is the third derivative of -4*b*c**3*s**3 + 27*b*c**3*s**2 - 58*b*c**3 + 76*b*c*s**3 + 28*b*c*s**2 - c**2*s - 41*s**4 wrt s? -24*b*c**3 + 456*b*c - 984*s What is the derivative of -403*d*h**3 + 20*d*r + 4*h**3 - 4*h**2 + 143*h*r - 2*r wrt d? -403*h**3 + 20*r What is the second derivative of -2*a*b**2*j - 6*a*b - 3*a*j + 2*a - b**2*j + 46430*b**2 + 2*b*j + 26*b - 8 wrt b? -4*a*j - 2*j + 92860 Find the second derivative of -1984*h**3*m**3*x**2 - h**3*m**2 + 3*h**3*m*x + 4*h**3*x**2 - h**3 + h*m**3 - 40*h*m wrt x. -3968*h**3*m**3 + 8*h**3 Find the first derivative of -36072*r**3*t + 882*r**3 - 52 wrt t. -36072*r**3 Differentiate -5*c**2 - 23*c*n**3 - 7043*c*n - 11*n**3 + 5*n**2 + 2516*n with respect to c. -10*c - 23*n**3 - 7043*n What is the first derivative of -26181*n - 70240? -26181 What is the second derivative of 998830*h**2 - 172861*h + 4 wrt h? 1997660 Find the third derivative of 32104*d**5 - 23*d**3 - 8413*d**2 + 133*d. 1926240*d**2 - 138 What is the derivative of 352440*u**4 - 72593? 1409760*u**3 Find the second derivative of 3*d*g**2*x**2 + 158*d*g**2 - 3*d*g*x + d*x**3 - 52*d*x**2 + 4*g**2*x**3 - 4*g*x**2 wrt g. 6*d*x**2 + 316*d + 8*x**3 What is the second derivative of -1501*k**5 + 50*k**4 + 5*k**3 + 571*k - 818? -30020*k**3 + 600*k**2 + 30*k What is the derivative of -64074*d*s - 28447*s wrt d? -64074*s Find the first derivative of -80*a**2*d - 760*a**2 + 156*a*d + 4*a + 11 wrt d. -80*a**2 + 156*a Find the third derivative of 82155*v**4 - 2345*v**2 - 6 wrt v. 1971720*v Find the third derivative of -907262*z**5 + 883859*z**2. -54435720*z**2 Find the third derivative of 8*u**4*x + u**4 - 38*u**3*x + 2*u**2*x - u**2 + 21119 wrt u. 192*u*x + 24*u - 228*x Find the third derivative of 98212*u**3 + 92760*u**2. 589272 Find the third derivative of 3*f**5 + 166*f**4 - 60*f**3 + 3*f**2 + 468712*f wrt f. 180*f**2 + 3984*f - 360 What is the third derivative of 5*z**6 + 2*z**5 - 3*z**3 + 2*z**2 + 124*z + 37 wrt z? 600*z**3 + 120*z**2 - 18 What is the second derivative of 81881*a*c**4 + 14*a*c + 3*c + 1288 wrt c? 982572*a*c**2 Find the first derivative of 121*m**4 - 211*m**3 - m + 39156 wrt m. 484*m**3 - 633*m**2 - 1 Find the second derivative of 32*g**2*t**3 + 54*g**2*t**2*u - 14*g**2*t**2 - g*t**3 + 1544494*t**3*u wrt g. 64*t**3 + 108*t**2*u - 28*t**2 Differentiate j*l*y**2 + 74622*j*l*y + 2*j*y + j - 321*l*y**2 + l - 23*y with respect to j. l*y**2 + 74622*l*y + 2*y + 1 Find the third derivative of -21*f**3*r**2 - 436*f**3*r - 2*f**3 - 2500*f**2*r**2 + 228*f*r wrt f. -126*r**2 - 2616*r - 12 Find the second derivative of -18*d**4 - 1590*d**3 - d**2 + 305*d + 361. -216*d**2 - 9540*d - 2 Find the second derivative of 2020219*g**3 - 1279498*g wrt g. 12121314*g Find the first derivative of -1732*s**3 + 3*s**2 + 103431 wrt s. -5196*s**2 + 6*s What is the derivative of -32326*l*x**3 - 8200*x**3 wrt l? -32326*x**3 Find the second derivative of 366*k*s**3 + 12*k*s + 2*k + 2*s**4 - 57*s - 2 wrt s. 2196*k*s + 24*s**2 What is the second derivative of -16719*z**5 - 3*z**4 + 59079*z wrt z? -334380*z**3 - 36*z**2 What is the third derivative of -2294588*f**6 - 9*f**2 - 61939 wrt f? -275350560*f**3 What is the second derivative of -2066984*b**3*y - 7*b*y - 15589*b - 2*y wrt b? -12401904*b*y Find the third derivative of -897276*v**3 - 1343121*v**2 wrt v. -5383656 What is the second derivative of -20397*g**2*x - 3*g**2*z**2 + 2*g*x*z + 3*g*z**2 + 632*g*z - 2*g - 26*x wrt g? -40794*x - 6*z**2 What is the second derivative of 18*w**4 + 597*w**3 + w**2 + 111891*w wrt w? 216*w**2 + 3582*w + 2 Find the second derivative of -461094*u**4 + u**3 + 1619613*u. -5533128*u**2 + 6*u What is the third derivative of 362*f**4 + 36*f**3 - 488*f**2 - 29*f wrt f? 8688*f + 216 Find the second derivative of 1306243*m**2*o**3 + 3*m*o**2 + 328*o**3 - 2*o + 2 wrt m. 2612486*o**3 Find the second derivative of 9*d*s**3 - 2*d*s**2*w + d*s**2 - 7*d*w + d + 3*s**3*w + 497*s*w + 2*s - 1 wrt s. 54*d*s - 4*d*w + 2*d + 18*s*w Find the second derivative of 5*u**3 - 6754*u**2 + 29*u - 36. 30*u - 13508 What is the second derivative of 167178*c**3*j*w**2*y - c**3*y + c**2*j*w**2 - 10*c**2*j*w*y + 13*c**2*j*y + 37*c*j*w*y - w*y wrt w? 334356*c**3*j*y + 2*c**2*j Find the second derivative of 4156676*i**5 + 555658*i - 3 wrt i. 83133520*i**3 What is the second derivative of 3*f**3*w**2 - 3*f**3 - 800*f**2*w + 40*f*w - 3*w**4 - 10151*w**3 wrt w? 6*f**3 - 36*w**2 - 60906*w What is the third derivative of -479*k**3*r*t**2 - 18*k**3*r*t - 8*k**2*r*t**2 - 2*k**2*t**2 + 227*k*r wrt k? -2874*r*t**2 - 108*r*t Find the third derivative of v**4 + 37239*v**3 + 123283*v**2. 24*v + 223434 Differentiate -136183*n**2 + 6*n - 20
{ "pile_set_name": "DM Mathematics" }
d 1278? 6 What is the greatest common factor of 3666 and 2032186? 1222 Calculate the highest common divisor of 12 and 74252. 4 What is the highest common divisor of 573 and 516? 3 Calculate the highest common factor of 24576 and 3768. 24 What is the highest common divisor of 8323 and 232183? 287 Calculate the highest common divisor of 1584 and 11792. 176 What is the greatest common factor of 286 and 56122? 22 What is the greatest common factor of 333 and 1773? 9 What is the greatest common divisor of 12 and 40016? 4 What is the highest common divisor of 34343 and 10697? 563 Calculate the greatest common divisor of 156 and 891150. 78 What is the greatest common divisor of 985 and 305? 5 What is the greatest common divisor of 13980 and 9553? 233 What is the greatest common factor of 23923 and 10180? 509 Calculate the highest common factor of 17384 and 492. 164 What is the greatest common divisor of 82 and 334519? 41 Calculate the greatest common divisor of 246863 and 43. 43 What is the greatest common factor of 134170 and 60? 10 What is the greatest common factor of 10 and 48902? 2 What is the greatest common factor of 2117 and 3103? 29 What is the greatest common factor of 220 and 181005? 55 What is the highest common divisor of 7619 and 190? 19 Calculate the greatest common factor of 14 and 2373. 7 What is the greatest common factor of 60 and 34460? 20 Calculate the greatest common factor of 200410 and 20090. 490 What is the greatest common factor of 5831 and 43561? 343 What is the greatest common factor of 4173 and 75? 3 Calculate the highest common factor of 2944 and 24196. 92 What is the greatest common divisor of 131 and 7790963? 131 Calculate the highest common factor of 461690 and 11458. 674 What is the highest common factor of 3311 and 10836? 301 Calculate the highest common divisor of 99 and 183051. 99 What is the greatest common factor of 798 and 190? 38 What is the highest common factor of 5568 and 51264? 192 Calculate the highest common divisor of 60 and 4423920. 60 What is the highest common divisor of 6324 and 32302? 62 What is the highest common divisor of 693 and 86317? 77 Calculate the greatest common divisor of 28 and 243404. 28 Calculate the highest common factor of 64625 and 22. 11 What is the highest common factor of 48 and 463308? 12 What is the highest common factor of 169864 and 272? 136 Calculate the greatest common divisor of 74529 and 1617. 147 Calculate the greatest common divisor of 2603 and 179196. 137 What is the greatest common factor of 1931424 and 3168? 1056 What is the highest common divisor of 1068 and 4860? 12 Calculate the highest common divisor of 25 and 156875. 25 What is the highest common factor of 2 and 26304? 2 What is the highest common divisor of 1810 and 40? 10 What is the greatest common factor of 4645 and 1014468? 929 Calculate the highest common divisor of 105 and 6453930. 105 What is the highest common divisor of 4 and 178? 2 What is the highest common factor of 18 and 18618? 6 What is the highest common factor of 541450 and 36946? 1274 Calculate the highest common divisor of 16490 and 4624. 34 What is the greatest common divisor of 408 and 244137? 51 Calculate the greatest common factor of 29 and 246065. 29 What is the highest common factor of 75163 and 374? 11 What is the highest common factor of 16 and 174472? 8 Calculate the greatest common divisor of 22338 and 2142. 306 What is the highest common divisor of 920 and 1400? 40 Calculate the highest common factor of 400 and 212500. 100 What is the highest common divisor of 5888 and 1088? 64 Calculate the highest common divisor of 390 and 285610. 130 Calculate the greatest common divisor of 3024 and 8127. 189 Calculate the greatest common factor of 192 and 13008. 48 What is the highest common factor of 800 and 793400? 200 Calculate the greatest common factor of 6259 and 33. 11 Calculate the highest common divisor of 819 and 12870. 117 What is the greatest common divisor of 218552 and 272? 136 Calculate the greatest common factor of 498 and 26. 2 What is the highest common divisor of 3664 and 10? 2 Calculate the greatest common divisor of 28 and 1216096. 28 What is the greatest common divisor of 12397 and 483? 161 What is the highest common divisor of 11310 and 234? 78 What is the highest common factor of 79936 and 1152? 64 What is the greatest common divisor of 413059 and 118? 59 What is the highest common divisor of 996923 and 177? 59 What is the highest common divisor of 253597 and 367? 367 Calculate the highest common divisor of 9893 and 65. 13 Calculate the greatest common factor of 544533 and 10527. 957 What is the greatest common divisor of 985 and 1565? 5 What is the highest common divisor of 316 and 44003? 79 Calculate the highest common factor of 7805 and 2975. 35 What is the highest common factor of 19 and 981787? 19 Calculate the highest common factor of 687260 and 140. 140 What is the highest common factor of 1856 and 187514? 58 Calculate the highest common factor of 21 and 106498. 7 What is the greatest common divisor of 1337183 and 127? 127 What is the highest common divisor of 833 and 15778? 49 What is the greatest common divisor of 2208 and 108960? 96 What is the greatest common factor of 53176 and 184? 184 What is the greatest common factor of 3417264 and 16? 16 Calculate the greatest common divisor of 88180 and 820. 20 Calculate the greatest common divisor of 878 and 430220. 878 Calculate the greatest common divisor of 238 and 3213. 119 Calculate the greatest common divisor of 356190 and 3720. 930 What is the highest common factor of 244 and 2704? 4 What is the greatest common divisor of 36 and 302? 2 Calculate the greatest common divisor of 2952 and 360882. 738 Calculate the greatest common factor of 666 and 1692. 18 What is the greatest common factor of 158 and 1446174? 158 What is the highest common divisor of 2436264 and 32? 8 What is the highest common factor of 986 and 1245086? 58 Calculate the greatest common factor of 1242076 and 154. 22 What is the highest common factor of 181080 and 1140? 60 Calculate the highest common factor of 2889 and 7047. 27 Calculate the greatest common divisor of 3048 and 6348. 12 What is the greatest common divisor of 19551 and 1995? 399 Calculate the greatest common factor of 25 and 43220. 5 What is the highest common divisor of 147877 and 38? 19 What is the greatest common factor of 1400 and 21525? 175 What is the highest common factor of 666274 and 266? 14 Calculate the highest common factor of 323268 and 2640. 132 What is the greatest common divisor of 204 and 161432? 68 Calculate the highest common factor of 247008 and 62. 62 Calculate the highest common divisor of 1034797 and 7126. 509 What is the highest common divisor of 755 and 5? 5 What is the highest common factor of 4425 and 11535? 15 Calculate the highest common factor of 64 and 66112. 64 Calculate the greatest common divisor of 15344 and 378805. 959 What is the highest common divisor of 1343830 and 50? 10 What is the greatest common divisor of 23902 and 32930? 74 Calculate the highest common divisor of 84 and 2676. 12 What is the highest common factor of 3 and 20289? 3 Calculate the greatest common factor of 31686 and 894. 6 What is the highest common divisor of 69713 and 28? 7 Calculate the greatest common factor of 1698 and 30. 6 What is the highest common divisor of 42344 and 145256? 536 What is the greatest common divisor of 7802 and 4606? 94 Calculate the highest common divisor of 2 and 530902. 2 Calculate the highest common divisor of 37376 and 4088. 584 What is the greatest common factor of 1849474 and 44? 22 What is the greatest common factor of 38793 and 1351? 193 Calculate the highest common factor of 146 and 19472604. 146 Calculate the greatest common divisor of 2364 and 157994. 394 Calculate the greatest common divisor of 514107 and 81. 81 What is the greatest common factor of 1408 and 36736? 128 What is the highest common divisor of 30628 and 57? 19 Calculate the greatest common divisor of 1389 and 356047. 463 Calculate the highest common factor of 100 and 86630. 10 What is the highest common divisor of 28616 and 1606? 146 Calculate the greatest common divisor of 244271 and 3973. 137 Calculate the greatest com
{ "pile_set_name": "DM Mathematics" }
factor of q and 144. 18 Suppose -4*i + 2 - 19 = -5*k, -4*k + 26 = 3*i. Suppose i*g - 1 = 3. Let a = -1043 - -1044. Calculate the greatest common divisor of g and a. 1 Let m(y) = 1 - 5 + 4 + 3*y**2 - 1 - 2*y. Let s be m(-1). What is the highest common factor of s and 12? 4 Let r(t) = t**3 + 6*t**2 - t + 1. Let o be r(-6). Suppose 6 = 3*g - 3. Let h be 51 + (3 - 8) + g. What is the highest common divisor of h and o? 7 Suppose -41 = -z - 3*z - 5*c, 25 = 5*c. Let x be z/(5/(5/2)). Let n be ((-12)/x)/(-3) + 88. Calculate the greatest common factor of n and 9. 9 Let u(p) = p**3 + 4*p**2 - 6*p + 2. Let r be u(-5). Let w(g) = -g**2 + 10*g - 5. Let k be w(7). Let j = k - 9. What is the greatest common factor of j and r? 7 Suppose 0*o - x = -3*o + 89, 2*o = 5*x + 55. What is the highest common factor of o and 15? 15 Let z = -82 - -92. What is the greatest common divisor of 10 and z? 10 Let b be (5 - (17 - 4))*(0 - 1). Let g(n) = -n**3 - 4*n**2 - 3*n - 4. Suppose d = 3*d + 8. Let l be g(d). What is the highest common divisor of b and l? 8 Let r = -1 + 9. Let s = -10 + 50. What is the highest common divisor of s and r? 8 Suppose 4*j - 3*g - 44 = 0, 5*g - 65 = -4*j - 21. Let l = 18 - 6. Let n = l - j. What is the highest common divisor of 2 and n? 1 Let d be 2/((-4)/(-3)*(-15)/(-30)). Calculate the highest common factor of 1 and d. 1 Suppose 4*a + 5*b - 102 = 3*b, -99 = -4*a - b. Calculate the greatest common divisor of 48 and a. 24 Let j be ((-336)/(-18))/((-4)/(-6)). Let s = 499 - 275. What is the greatest common divisor of s and j? 28 Let k = -31 - -35. Calculate the highest common divisor of k and 10. 2 Let l be (0 - (2 - -1)) + 57 + -5. Calculate the greatest common divisor of l and 7. 7 Suppose 10 + 6 = a. What is the highest common divisor of a and 2? 2 Suppose -v + 4*d = -3*v - 16, 4*d = -12. Let k be 73/v*-2 + -1. Let u be (1 - 6/3)*-9. Calculate the highest common factor of k and u. 9 Let q = -4 - -15. Suppose r = -q + 67. What is the highest common divisor of 7 and r? 7 Suppose -2*c + 4*h - 14 = -0*h, 2*c + 9 = 3*h. What is the highest common divisor of c and 69? 3 Let n be (0 + 1)/(1/137). Let p = n + -67. Calculate the greatest common divisor of p and 14. 14 Suppose -f = -2*s + 2 - 0, f = s. Let g be s/2 - (3 + -5). Suppose -2*d = 4*c - 5*d - 21, -4*c - g*d = -27. What is the highest common divisor of 54 and c? 6 Let u(w) = w**3 + 3*w**2 - w - 2. Let l be u(-2). Suppose q + m = 2*q - 74, -12 = 3*m. Suppose -l*i - q = -9*i. What is the greatest common divisor of 21 and i? 7 Suppose -3*o + 12 = 5*x + 636, 0 = -4*o + x - 809. Suppose 54 = -p - 74. Let h = p - o. Calculate the greatest common divisor of 15 and h. 15 Let m be (-2)/6*-13*30. Let h be 3/18 + m/12. Suppose 2 + 3 = 5*p. Calculate the greatest common factor of h and p. 1 Let m = 21 + -6. Suppose 146 = 3*g - 508. Let b = -113 + g. What is the highest common divisor of b and m? 15 Let o = -1 - -397. What is the highest common factor of o and 36? 36 Let k be 79*2 + 2 + -2. Let g = k + -92. Calculate the highest common divisor of g and 6. 6 Suppose -r = 5*m - 457, 0 = r + 3 - 5. Calculate the greatest common divisor of 26 and m. 13 Let x be ((-600)/(-18))/(1/3). What is the greatest common factor of 25 and x? 25 Let y be (0 - 1) + 1 - -5. Let x be y/(0 + 2 + -1). Suppose 4*g - 2 = 4*j - 5*j, 4 = 2*j - x*g. Calculate the greatest common factor of 18 and j. 2 Suppose x = -3*s - 15, 2*x + 95 = -x + s. Let a be x/2*1/(-1). Let d = -1 + a. What is the greatest common divisor of 2 and d? 2 Let a be 5 + -1 + 2 + -2. Suppose 3*x + 60 = 9*x. Calculate the highest common divisor of x and a. 2 Let b(l) = -4 - 2*l - 3*l**3 - l**2 + 3*l + 2*l. Let f be b(-3). Suppose 4*u - 45 - f = 0. What is the highest common divisor of 39 and u? 13 Let x(n) = 18*n - 3. Let l be x(3). Calculate the highest common factor of l and 17. 17 Let o = 69 - 121. Let a = -20 - o. Let y be a - 2 - (1 + -4). Calculate the highest common factor of 3 and y. 3 Let h = -5 - -29. Suppose -3*k + h = -0*k. What is the greatest common divisor of k and 1? 1 Suppose 3*o - 162 = -5*a, 2*o = -2*o - a + 216. What is the greatest common factor of o and 216? 54 Suppose 4*f + f = 35. Calculate the greatest common factor of f and 1. 1 Let v be (-321)/(-2) - (-2)/(-4). Calculate the greatest common factor of v and 64. 32 Suppose 2*l + 12 = 4*k, 4*l - 3 = -5*k - 1. Let n be k/(-4)*0 - -38. What is the greatest common factor of 57 and n? 19 Let b be (-30)/(-4*4/96). Calculate the greatest common factor of 36 and b. 36 Let p = -4 + 8. Suppose p*x + 4*w - 750 = 2*w, x + w - 188 = 0. What is the highest common factor of 17 and x? 17 Suppose -9*q - 10 = -10*q. Calculate the greatest common divisor of q and 25. 5 Let h(l) = l - 1. Let p be h(1). Suppose p = 3*k - 22 - 68. Calculate the greatest common divisor of k and 15. 15 Let d be (-3)/((-6)/8) + 16. What is the greatest common divisor of 50 and d? 10 Let f = -63 - -72. What is the highest common factor of f and 18? 9 Let m(v) = -243*v**3 + 2*v**2 + v. Let u be m(-1). Let p = -127 + u. What is the highest common factor of p and 13? 13 Let i(p) = -3*p - 2. Let m be i(-4). Calculate the highest common divisor of m and 50. 10 Let i(s) = 2*s + 19. Let a be i(-8). What is the greatest common factor of a and 33? 3 Suppose 0 = -v - 3*s + 111, v - 32 = 3*s + 55. What is the highest common divisor of v and 11? 11 Let m be 6 - 4 - (-24 + 1). Suppose -y = 5 - m. What is the greatest common divisor of 30 and y? 10 Let g(m) = -m**2 - 9*m + 1. Suppose -5*b + b = 20. Let d be g(b). Calculate the highest common factor of 63 and d. 21 Suppose -3*m = 2*r - 58, 89 = 4*m + 4*r + r. Calculate the greatest common divisor of m and 40. 8 Let g(m) = 2*m**3 + m**2 - 2*m. Let u be -17 - -3*6/9. Let h be (-27)/u - (-2)/10. Let y be g(h). Calculate the highest common factor of y and 16. 16 Suppose s = 5*s. Let j = s + 1. Calculate the highest common factor of j and 8. 1 Let m be 28/6 - 2/3. Let q = 76 - m. What is the highest common divisor of 8 and q? 8 Suppose -2*g - 3*p - 29 = -0*g, 4*p = -12. Let y = g + 14. Let j be (15/(-2))/((-3)/y). What is the highest common factor of j and 10? 10 Suppose -2*n = 5*g - 302, 3*g = g - 5*n + 125. Calculate the greatest common divisor of g and 12. 12 Suppose -d + 12 = 4*d + 2*i, -i + 5 = 2*d. What is the highest common factor of 16 and d? 2 Let k(g) = g**3 + 3*g**2 - 2*g - 2. Let o be k(-3). Calculate the greatest common divisor of 10 and o. 2 Suppose 109 = 3*t + o - 1, -t + 5*o + 10 = 0. Suppose 5 = 5*s - 10. Suppose -s*u = 7 - 22. What is the highest common divisor of t and u? 5 Let n be 47/7 - (-2)/7. Suppose -4*c = 828 - 2440. Suppose c = 4*s + 151. Calculate the highest common divisor of n and s. 7 Suppose -u - 1 = -4*q - 25, -5*u - q = -57. What is the greatest common factor of u and 24? 12 Let j(s) = 31*s**2 + 3*s + 2. Let o be j(-1). What is the greatest common divisor of o and 20? 10 Let n be -3*(1 - 2) - -2. Let t be 1 + 2/(-6)*-6. Suppose n*z - z = -2*a - 4, -z = t*a - 14. Calculate the highest common factor of 30 and a. 6 Let l(m) = -2*m - 4. Let f be l(2). Let n = f - -15. Calculate the highest common factor of 7 and n. 7 Let k = -47 + 26. Let m = -12 - k. Calculate the greatest common factor of 99 and m. 9 Suppose -4*p = -2*u - 4 - 8, 0 = -3*p + 12. Suppose z = -5*m + 15, -16 = -u*z + 7*m - 3*m. Calculate the highest common factor of 110 and z. 10 Suppose 2132 = 11*p - 838. Calculate the greatest common factor of p and 30. 30 Suppose -z + 57 = 4*y, -3*y + z - 6*z = -30. What is the greatest common divisor of y and 75? 15 Suppose 3*c = f - 95, -5*f - c + 492 = c. Suppose 5*q = l + 66, 0*q - 36 = -4*q + 5*l. What is the greatest common factor of q and f? 14 Let b = -39 - -47. Calculate the highest common divisor of b and 88. 8 Let h be (-9)/(-2)*(-3 - -5). Let d = 16 - 10. What is the greatest common divisor of d and h? 3 Suppose -4*l + 20 = 4. Suppose 5*w - l*u - 119 = 0, 2*u - u = -2*w + 58. Calculate the greatest common factor of w and 18. 9 Suppose -3*n + 64 = n. Suppose -c - 1 = -n. What is the highest common factor of c and 105? 15 Let r(c) = 83*c + 14. Let a be r(2). What is the highest common divisor of a and 36? 36 Let i = 319 - 131. Let n = i + -104. What is the h
{ "pile_set_name": "DM Mathematics" }
+ c). 2*c**4 - c**3 + 6*c**2 Expand (2 - 2 + 1)*(2*p + 9 - 9)*(p + 6*p**4 - 3*p**4 - 2*p). 6*p**5 - 2*p**2 Expand (45 - 25 - 22 + 13*n)*(-n**3 + n**2 - n**2). -13*n**4 + 2*n**3 Expand (0 + 0 + n)*(23 - 13 + 3)*(7 - 3 - 3)*(-2*n + 0*n + 3*n). 13*n**2 Expand (2*u + 0*u - 3*u)*(-1 + 4 + 3) - 2 - u + 2. -7*u Expand (3*m + 0*m + 0*m)*(2*m - 6*m + 13 - 14). -12*m**2 - 3*m Expand s**2 + s**2 + 0*s**2 + (1 + 2 - 2)*(1 + s - 1)*(s - 2 + 2). 3*s**2 Expand (0*x**2 + 3*x**2 - 2*x**2)*(1 + 0 - 3 + 2*x**2). 2*x**4 - 2*x**2 Expand (-z + 4*z - z)*(-z**3 - 3*z**3 + 3*z**3) + (0*z**2 + z**2 + z**2)*(-z**2 + 2*z**2 + z**2) + 3*z**4 - 2*z**4 + 14*z**4. 17*z**4 Expand (-1 + 1 + 2)*(2*c**3 + 3*c - 3*c)*(1 - 6 + 0). -20*c**3 Expand (4*y - 5*y + 6*y)*(-y**2 + 2*y**2 + 3*y**2). 20*y**3 Expand (2 - 2 + r)*(4 + 4 - 4)*(0 - 2 + 4)*(-2 - 4 + 3). -24*r Expand (0 + 0 - 2)*(-2 - 2 + 3)*(-50 + 8*k + 50)*(-4 + 2*k + 4). 32*k**2 Expand (2 - 2 + s)*(-4*s**3 + 4*s**3 + 14*s**3). 14*s**4 Expand -4*z**2 + 2*z**2 + 4*z**2 + (z - 2*z + 4*z)*(2*z - 2 + 2) + 0 - 3*z**2 + 0. 5*z**2 Expand -f**3 - 3*f**3 + 2*f**3 + 4*f**3 - 3*f**3 + 0*f**3 - f**3 + 2*f**3 + f**3 + (f**2 + 0*f**2 - 2*f**2)*(4*f - f - 2*f) - 3*f**3 - 3*f**3 + f**3. -5*f**3 Expand (2 + 0 + 1)*(-4 - 2 + 3)*(-4*i - 3*i + 4*i). 27*i Expand (-16*t**2 - t**2 + 6*t**2)*(-3*t + t + t). 11*t**3 Expand (0 + 3 - 1)*(-13*u + 56 - 56) + 2 - 2 - 2*u + (-4 + 3 + 3)*(1 - 2*u - 1) - 2*u + u + 3*u + u - 1 + 1. -29*u Expand (-4 - 1 + 3)*(3 - 4*m - 3)*(-2*m + 4*m - 4*m). -16*m**2 Expand (0*f + f**2 - 1 + 0*f)*(10*f + 12*f - 9*f) + 0*f**2 + 0*f**2 - 2*f**3. 11*f**3 - 13*f Expand (3 - 1 - 5)*(-4 + 2 + 0)*(-3*s - 2*s + s)*(s - s - s). 24*s**2 Expand ((0 + 2*t + 0)*(-3*t + 0*t + 0*t) + 0*t**2 + t**2 + 0*t**2)*(0*t**2 - 3*t**2 + 0*t**2). 15*t**4 Expand (-6*j**4 + 2*j**4 + 3*j**4)*(j - 2*j - 2*j + 1 - j - 1 - j + 2*j + j + (2 - 2 - j)*(3 - 5 + 3) + 4*j + 2*j - 4*j - 5*j - 2*j + 3*j). 5*j**5 Expand -4*i**3 + i**3 + i**3 - 2*i**3 - i**3 + i**3 + (-i + i + 2*i**3)*(-2 + 1 - 1) + (2*i**3 + 2*i**3 - 7*i**3)*(3 - 4 - 1) - 6*i + 6*i - 2*i**3. -4*i**3 Expand (-11*l + 22*l + 17*l)*(2*l + 0*l - 3*l)*(0 + 2 - 4). 56*l**2 Expand (0 - 3 + 1)*(66*b - 34*b + 201 - 31*b). -2*b - 402 Expand (-1 + 1 - 5*i**4)*(0*i + 5 + 3*i - i). -10*i**5 - 25*i**4 Expand (-5*d - 30 + 30)*(d - d + 2*d**2 + (-1 - d + 1)*(d - 3 + 3)*(-5 + 0 + 3)). -20*d**3 Expand (3*t - 2*t - 3*t)*(-1 + 1 - 2*t) + (-9*t - 12 + 12)*(-2 + 2*t + 2). -14*t**2 Expand -2*x**5 + 2*x**5 + x**5 + (4*x - 2*x - 3*x)*(2*x**4 - 6*x**4 + 2*x**4) - 12*x**5 + 11 - 11. -9*x**5 Expand -4*x**2 + 0*x**2 + 3*x**2 + (1 - x - 1)*(-5 + 5 + 4*x). -5*x**2 Expand (-i**2 - 3 + 3)*(i - 2*i - i)*(10 + 9 + 6). 50*i**3 Expand (-2*y - 4*y + 3*y)*(-1 - 4 + 8). -9*y Expand (-15*l**2 + 0*l**2 - 4*l**2)*(l**2 - 4 + 4). -19*l**4 Expand 2*p**5 - 5*p**5 + 4*p**5 + (1 - 1 - 2*p**4)*(-2*p + 2 - 2) + p**5 + p**3 - p**3 - 5*p**5 + 0*p**5 + 4*p**5 + (2*p**2 + p**2 - p**2)*(-1 + 2*p**3 + 1). 9*p**5 Expand ((-t - 9*t - t)*(4*t**2 - 2*t**2 - 5*t**2) - 1 - 2*t**3 + 1 + (3 - 3 - t)*(-1 + 1 + t**2) + 0*t**3 + t**3 - 2*t**3)*(-1 - 3*t + 1). -87*t**4 Expand 3*l + 2*l + 0*l + (2*l + l + 0*l)*(1 - 1 - 1). 2*l Expand (-4*c**3 + 4*c**3 - c**3)*(-c + 0*c + 2*c)*(-4 - 1 + 6). -c**4 Expand w**3 + 0*w**3 + 0*w**3 + (2*w - 3*w - w)*(5*w - w + 0*w)*(4*w + 2*w - 4*w). -15*w**3 Expand (-5 - 7*m**4 + 5)*(2 - 2 + 2*m + (-2*m + 4*m + 0*m)*(0 + 2 + 0))*(4 + 4 - 2). -252*m**5 Expand ((-2*c + 0*c + 3*c)*(-2 - 1 + 5) - c - 2*c + 5*c)*(-3 + 0 + 1)*(0 + 2*c**2 + 0). -16*c**3 Expand (0*m + 0*m + m)*(2 - 2*m - 2) - 16 + 16 - 5*m**2 + 2*m**2 - 4*m + 4*m + (m + 0 + 0)*(2*m + 0 + 0). -3*m**2 Expand (-z - 2*z + 5*z)*(2 + 0 + 1)*(2*z**2 + z**2 - 4*z**2) + (-3*z**2 - z**2 + 3*z**2)*(-z - 3 + 3). -5*z**3 Expand (4*z - 4*z - z)*(-6 + 2*z**2 + 6)*(-4*z - 6*z - 3*z) + (-1 + 1 - 2*z**3)*(2*z + 1 - 1). 22*z**4 Expand (2*r**2 - r**2 - 3*r**2)*(-7*r**2 - 3*r**3 - 415 + 415). 6*r**5 + 14*r**4 Expand (-s - s**2 + s + (0*s + 0*s - s)*(2*s + 2*s - 2*s))*(-5*s + 5*s + 6*s**2) + 2*s**4 - 3 + 3. -16*s**4 Expand k + 0*k + 3*k + (0 + 0 + k)*(3 - 3 + 1). 5*k Expand (3 + 1 - 3)*(11*u - 11*u - 8*u**3)*(-2*u - 5 + 0 + 3). 16*u**4 + 16*u**3 Expand 3 + 2*y - 3 + (-3*y + 4*y + 0*y)*(-3 + 2 + 0) + 4*y - 5*y + 10*y + (0 - y + 0)*(2 - 3 + 0) - y + 0*y + 3*y + 2*y - 5*y + 2*y. 12*y Expand 0*a**4 + 543 - 3*a**4 - 545 + (5*a - 2*a - a)*(3*a**2 + a**3 - 3*a**2). -a**4 - 2 Expand (0 + 0 - 1)*(24*b**2 - 17*b**4 - 24*b**2) + 6*b**4 - 5*b**4 + 0*b**4. 18*b**4 Expand (1 + 5 - 2)*(-q**3 - 2*q**5 - 2*q**4 + 2*q**4). -8*q**5 - 4*q**3 Expand (-3 - 2*m**2 + 3)*(-1 + 2 - 3)*(-3*m**3 + 11*m**3 + 21*m**3). 116*m**5 Expand -32*z - 18*z - 80*z + 31*z + (2 - 2 - 2)*(-3*z - z + 6*z). -103*z Expand (-2*i**4 + 5*i**4 - 2*i**4)*(20*i - 8*i + 15*i) - 2*i**2 + 2*i**2 + i**5. 28*i**5 Expand (-6 + 6 + 9*q)*(5*q - q - q). 27*q**2 Expand -5*c + 2*c + c - c + 0*c + 0*c + (-2 + 2 - 2)*(3 - c - 3). -c Expand 6*v - 2*v + 6 - 5*v + (5*v - v - v)*(2 + 3 - 3). 5*v + 6 Expand (30 + 137 - 19)*(2*i**5 - i**5 + 0*i**5). 148*i**5 Expand 4*w**4 - 3*w**4 + w**4 + 2*w**4 + 4*w**4 + 0*w**4 + w**4 - 3*w**4 + 0*w**4 + (-2*w**4 + 2*w - 2*w)*(-1 - 3 + 2). 10*w**4 Expand (-3 - 1 - 2)*(3 - 3 - l**2)*(-l + 4 - 4). -6*l**3 Expand (6*f + 9*f - 8*f)*(-5 + 3 + 0). -14*f Expand (5*g + 0*g - 3*g)*(1 + 2 - 2) + (1 - 2 + 2)*(4*g + 0*g + 0*g). 6*g Expand (-18 - 8 - 17)*(2*v + 2*v - 3*v). -43*v Expand (2*k**3 + 0 + 0)*(5*k - 3*k + 2*k)*(0 + k + 0). 8*k**5 Expand (-j + 0*j - j)*(2*j**2 + j**2 - j**2) + 4 - 9*j**3 - 4 - j**3 + j**3 - j**3. -14*j**3 Expand (-22*z - 15*z + 19*z)*(1 - 2 + 4)*(1 + 2 - 4). 54*z Expand (2*i - 1 + 1)*(-31*i + 206 - 206)*(2 - 1 + 1). -124*i**2 Expand (4 - 3 - 6)*(-1 + 2 + 3 + k). -5*k - 20 Expand -2*b**3 + 2*b**3 - 3*b**4 + (0*b**2 + 5*b**2 - 2*b**2)*(1 + 2*b**2 - 1). 3*b**4 Expand (-2*b - 1 + 1)*(-b - 8*b + 5 + 10*b). -2*b**2 - 10*b Expand (-r - 6*r + 5*r + 3)*(-3*r + 0*r + 4*r). -2*r**2 + 3*r Expand (-n**2 + 3*n**2 + 2*n**2)*(-3 + 3 - 3*n) + 3*n**3 - 4*n**3 + 3*n**3. -10*n**3 Expand (3 + 3 - 7)*(-6 - 18*l**3 + 4 + 0*l**3). 18*l**3 + 2 Expand (-o + 3 - 3)*(3*o - 3*o + 2*o)*(-2*o + 2 - 2). 4*o**3 Expand -4*p - 21*p - p + (-3*p - p + 3*p)*(2 - 5 + 1). -24*p Expand (0 + 4 - 2)*(-2 + 2 - 1)*(0*y + 0*y - 7*y). 14*y Expand 0*x**2 - 4*x**2 + 6*x**2 - 2*x**2 + x**2 + 2*x**2 + (0*x - x + 3*x)*(0*x + x - 3*x) + x**2 + x**2 + x**2 + 43 + 9*x**2 - 43. 11*x**2 Expand (-4 + 6 + 0 - 6*g)*(g**3 + 4*g**3 - 3*g**3). -12*g**4 + 4*g**3 Expand -6 + 4*v**2 + 6 + 11*v**2 + 8*v**2 - 13*v**2 + v**2 + 0*v**2 + v**2 + (2 - v - 2)*(0 + v + 0). 11*v**2 Expand -4 + 4 - 9*o + 3*o - 4*o - o + (-1 - 2 + 2)*(3 - 3 + o) - o + o - o + 2*o + o - o - o + 5*o - 3*o. -10*o Expand (-2*x - x + x)*(0 - 2 + 1) + (-x - 2 - 3*x + 6*x)*(3 - 3 + 7). 16*x - 14 Expand (-c - 2*c + 2*c)*(2 - 2 - 6)*(7*c - 4*c - 2*c). 6*c**2 Expand (5*f - 1 - 4*f + 0)*(-3 - 2 + 7)*(1 + 5 + 1). 14*f - 14 Expand (2*x - 3*x + 2*x)*(10*x - 5*x + 11*x) + 0*x**2 + 4*x**2 - x**2. 19*x**2 Expand (-4*o + 5*o + 8*o)*((2*o**3 - o**3 + 0*o**3)*(-4 + 2*o + 4) + 2*o**4 - 2 + 2). 36*o**5 Expand (z**3 - 6*z**3 + 4*z**3)*(-10*z + 43*z - 7*z). -26*z**4 Expand (0 + 0 + z**3)*(0*z**2 + z**2 + 5 + 0*z**2). z**5 + 5*z**3 Expand (-4*u**2 - 20*u - 2 + 20*u)*(-3*u + 2*u - u). 8*u**3 + 4*u Expand (16*p - 4*p + 24*p)*(-p + 1 - 1)*(3 + 3*p - 3). -108*p**3 Expand 3*l**3 + 2*l**3 - 4*l**3 + (7*l**3 - 3*l**3 - 2*l**3)*(0 + 2 + 0). 5*l**3 Expand -4*g**5 + 6*g**5 - 5*g**5 + (0*g**4 + g**4 + g**4)*(0*g + 2*g + 0*g) - g**3 + g**3 + g**5. 2*g**5 Expand 2*k + 2*k**2 - 2*k + (3 + 0*k - 5*k + 2*k)*(4*k - 2*k - 4*k). 8*k**2 - 6*k Expand (-3 - 4 + 4)*(0*k**2 - 16 - 2*k - 2*k**2 + 17). 6*k**2 + 6*k - 3 Expand (-2*l + 2*l**2 + 2*l)*(0*l + 2*l - 4*l)*(4 + 6 - 2). -32*l**3 Expand (5*d - 3 + 0*d - 3*d)*(0 + 1 + 0)*(-2 + 4 + 0). 4*d - 6 Expand (1 - 1 + 1 + (-3 + 3 + 2)*(3 + 0 - 4))*(-3*k**2 + 4*k - 4*k). 3*k**2 Expand (4 - 1 - 4)*(-1 + 1 - 2)*(-3 + 1 - 5*h**3 + 4*h**3). -2*h**3 - 4 Expand (0*d**5 - d**5 - d**5)*(-1 - 1 + 4) + 3*d**3 + 2*d**5 - 3*d**3 + 4*d**5 - d**5 - 4*d**5 + 2*d**5 - 4*d**5 - 2*d**2 - 5*d**5. -10*d**5 - 2*d**2 Expand (-3*d + 7 - 7)*(9*d - 9*d + 12*d**3). -36*d**4 Expand (0*w + 2*w**3 + 0*w)*(3*w + 0*w - 4*w) - 2 + 2 - w**4 - 2*w**4 + 0
{ "pile_set_name": "DM Mathematics" }
.31, -3? -2 What is the fourth biggest value in 4.767, -0.5, 0.4, -1? -1 Which is the fourth biggest value? (a) -0.02 (b) 2/13 (c) 1 (d) -7/33 d Which is the fifth biggest value? (a) -1024 (b) -2/11 (c) -1 (d) 3/8 (e) 1/6 (f) 1 c What is the third biggest value in 5, 1, -4, -729, -2/9? -2/9 Which is the biggest value? (a) 25 (b) -1626 (c) 2/5 (d) -3 a What is the second smallest value in -16, -1, 5, -6? -6 Which is the smallest value? (a) -1280 (b) -5 (c) 0.02 a Which is the biggest value? (a) 1/4 (b) -1 (c) -0.2 (d) -1/187 (e) -4 a Which is the fourth biggest value? (a) -5/322 (b) 2/7 (c) 9 (d) 0.4 (e) -0.3 a What is the smallest value in -69.1, 2/11, 1/5, -22, 1? -69.1 Which is the fourth biggest value? (a) 5 (b) -21.89 (c) 4 (d) 6/7 (e) 6 d Which is the third smallest value? (a) 1/5 (b) 86 (c) 56 (d) -1/2 c Which is the second smallest value? (a) -5 (b) 14 (c) 2463 b What is the biggest value in 0.06, 726.7, 35? 726.7 Which is the third smallest value? (a) -36/37 (b) -0.5 (c) -107 b Which is the second biggest value? (a) -56256 (b) 2/3 (c) 1 b Which is the fifth smallest value? (a) -2 (b) -0.16 (c) -1/3 (d) -0.1 (e) -0.311 d Which is the fourth biggest value? (a) -4 (b) -2/7 (c) -2794 (d) 0.3 c What is the second smallest value in -0.058, -5, 2, -19, 0, 1/5? -5 Which is the third biggest value? (a) 0.22 (b) 154 (c) -10/7 c Which is the third biggest value? (a) 97 (b) 14/41 (c) -0.01 c What is the biggest value in 0.2, 1.083, 1/2, -15? 1.083 What is the second biggest value in 2468, 18, -0.3? 18 Which is the fourth smallest value? (a) 1/2 (b) -8 (c) -752 (d) 10 d Which is the second biggest value? (a) 4.8 (b) -5 (c) -1/31 c What is the third smallest value in -3, -0.21, -5/49? -5/49 Which is the second smallest value? (a) 0.32 (b) -17.8 (c) 1/6 c What is the third biggest value in -381, 249, -1/3? -381 What is the third biggest value in 4.9, -16, -2/3, -4, -7/5? -7/5 Which is the third smallest value? (a) -0.004 (b) -0.1 (c) -2/19 (d) 0.2 (e) -11/5 b What is the second biggest value in -34, -0.2, 2, -0.5, -1, 5? 2 What is the second smallest value in -5/3, -32, -0.2, -0.06, 2? -5/3 Which is the second smallest value? (a) 4 (b) 0.6 (c) -3/2 (d) 661 (e) 1/8 e What is the third smallest value in 1, 1/10, -2.26, 4? 1 What is the fifth smallest value in -32, -4, -1/4, -334, 6, -0.5? -1/4 What is the fifth biggest value in 0.5, -0.02, -15/106, 8, 1? -15/106 What is the second smallest value in 1, 370, -0.08, -0.21? -0.08 Which is the third biggest value? (a) -1 (b) 0.1 (c) 1/651 a Which is the biggest value? (a) 3 (b) -301 (c) -43 (d) 5 d Which is the second smallest value? (a) 0.1 (b) 0.3 (c) -2/15 (d) -437 (e) 1/5 c What is the fifth smallest value in -5/7, -0.5, -0.2, 32, 2/5? 32 Which is the third smallest value? (a) -4/3 (b) 4 (c) 8 (d) -0.6 b What is the third smallest value in -3, 307, 3? 307 What is the second biggest value in 2.68, -30, -0.1? -0.1 What is the second biggest value in 4/7, -2/7, 0.075, -0.04, 0.3? 0.3 Which is the smallest value? (a) -6/13 (b) -2 (c) -5 (d) 26/3 (e) 0 (f) -0.9 c What is the third smallest value in -8, 0.5, 0.25, -13, 2/5? 0.25 Which is the fourth biggest value? (a) -0.03 (b) 3.319 (c) 2 (d) -4 (e) -3 e What is the second smallest value in 3.2, -2/7, 1, 0.114? 0.114 Which is the biggest value? (a) -10 (b) -82067 (c) -5 c Which is the third biggest value? (a) -0.01 (b) -98 (c) 2 (d) -0.3 (e) -0.1 e Which is the fifth smallest value? (a) -92 (b) 21 (c) -1 (d) -0.3 (e) 3 b Which is the smallest value? (a) -1 (b) 1832.7 (c) 2/17 a Which is the sixth biggest value? (a) -3/8 (b) -61 (c) -0.8 (d) -0.06 (e) -0.1 (f) 0.1 b Which is the third biggest value? (a) -4 (b) -0.1 (c) -9 (d) -3/8 (e) -55 a Which is the second biggest value? (a) -2 (b) -51 (c) -36 (d) 0.1 (e) -3 a Which is the smallest value? (a) 0.5 (b) 1/4 (c) -0.076 (d) 6 (e) 0 c Which is the fourth smallest value? (a) -939 (b) 4 (c) 10 (d) 0 (e) 5 e What is the fourth smallest value in 80, 3, -2/19, -2/7, 0.3? 3 What is the second biggest value in -0.032, 0.4, -0.4, -1, 47.4? 0.4 What is the biggest value in 2/27, 3/7, -1257? 3/7 What is the biggest value in 4, -18, -257? 4 Which is the second smallest value? (a) -0.1 (b) 51 (c) 0 (d) 3/5 (e) 44/15 c Which is the second smallest value? (a) 1/3 (b) 0 (c) -1 (d) 11 (e) -14 c Which is the third biggest value? (a) 0.3 (b) 4 (c) -414 c What is the second biggest value in -2/17, 3, -337? -2/17 Which is the smallest value? (a) 3/7 (b) -0.2 (c) -15 (d) 4/7 (e) 20 c What is the third biggest value in 1523, -2/5, 0.04, -11? -2/5 What is the second smallest value in 4, 3, -11, -0.1015, -5? -5 What is the smallest value in -5, 3/7, 266/5, 1141? -5 Which is the smallest value? (a) -5 (b) 10/643 (c) 1.1 (d) 5 a What is the second smallest value in -0.2, -3, -2/19, 2/3, 0.5, 119? -0.2 Which is the smallest value? (a) -3 (b) 4/9 (c) 0.1 (d) -7 (e) 35 d Which is the smallest value? (a) -5 (b) 0.2 (c) -3 (d) -64 d What is the smallest value in -47, 0.1, -2/35? -47 Which is the fifth biggest value? (a) 2/11 (b) -5 (c) -0.07 (d) -21 (e) 9 (f) 1 b What is the fourth smallest value in 4, -0.6, -0.01, -2/9, 5, -50? -0.01 What is the third smallest value in -0.2, -4, 0.05, 1/5, 4, -1509? -0.2 Which is the fourth smallest value? (a) -1 (b) -100 (c) 0.21 (d) -3 c Which is the second smallest value? (a) 0.3 (b) 3/53 (c) -0.3 b Which is the third smallest value? (a) -4/7 (b) -38 (c) 3/100 c Which is the sixth smallest value? (a) 0.5 (b) -1/4 (c) 0.7 (d) 7 (e) -1/7 (f) -0.1 d What is the second biggest value in 0, 1, -0.102, 2/11, -9? 2/11 What is the third biggest value in 266, 1/2, -3, 7/4? 1/2 Which is the second smallest value? (a) -62 (b) 5 (c) -2.193 (d) -0.04 c What is the second biggest value in 0.3, 0.1, -211.03, -2? 0.1 What is the third biggest value in 1/3, -0.1, 8641? -0.1 What is the smallest value in -2/117, 2, -1, 0.6, 0, 0.2? -1 What is the smallest value in -5, 2, 88, -201, 1? -201 What is the third smallest value in -1065786, 3/7, 0.2, 3? 3/7 Which is the third biggest value? (a) 0.09 (b) -0.0038 (c) -0.19 c What is the fourth biggest value in -4, 0, -0.1, -2, 3.3, 3/83? -0.1 What is the smallest value in -126, -5, 46, -3? -126 What is the fifth biggest value in 2/3, 1/6, 291/4, 4/7, -1/7? -1/7 Which is the smallest value? (a) 0.603 (b) 15 (c) -1/2 c Which is the fourth smallest value? (a) -4.4 (b) -4 (c) -0.01 (d) -20 c Which is the second biggest value? (a) 5 (b) 4222 (c) 1 (d) -10 a Which is the smallest value? (a) 7 (b) -1601/6 (c) 0.2 b Which is the smallest value? (a) -22/3 (b) 4206 (c) 0.3 a Which is the fifth smallest value? (a) 48 (b) -2 (c) -5 (d) 38 (e) -1/6 a Which is the second smallest value? (a) 2/7 (b) 0.4 (c) -2/117 (d) -44 c What is the third biggest value in -0.0108, 4, 30/7? -0.0108 What is the second smallest value in 0.5, 2/11, 0.15, -41, 0.07, 0.3? 0.07 Which is the fourth biggest value? (a) -0.2 (b) -12 (c) 3 (d) 173 (e) -0.03 a What is the smallest value in -17/7, 29, 7/4, 3? -17/7 What is the smallest value in -5, 2/99, 2/9, -1398, 5? -1398 Which is the third biggest value? (a) 2/9 (b) 1/5 (c) -101 (d) -1 d What is the smallest value in -3/5, -2/3961, 0? -3/5 Which is the third biggest value? (a) -0.3 (b) 0.05 (c) 0 (d) 0.001 (e) 0.2 d Which is the third biggest value? (a) -2/15 (b) 2 (c) 3 (d) 292 (e) -3/7 b What is the second smallest value in -1, 0.1, 1.6, -630? -1 Which is the fourth biggest value? (a) 2/11 (b) -3/4 (c) 1/2 (d) -417 (e) 5/4 b Which is the smallest value? (a) -2/7 (b) -5/12 (c) -55/4 c Which is the fifth smallest value? (a) 9 (b) 2/7 (c) -16 (d) -2/3 (e) 0.5 a What is the third biggest value in 5, -1083, 6? -1083 Which is the third biggest value? (a) -33 (b) -2/15 (c) -5 (d) 1/4 (e) -0.3 (f) 12/47 b Which is the fourth biggest value? (a) -3 (b) -5 (c) 1653 (d) -1/4 b Which is the second smallest value? (a) -0.1 (b) -0.45 (c) -2.1 (d) -2.18 c Which is the smallest value? (a) 439 (b) 3 (c)
{ "pile_set_name": "DM Mathematics" }
igit of a? 2 Suppose -5*b - 2*k + 13690 = 0, -4*b + 3637 + 7343 = -4*k. What is the tens digit of b? 4 Suppose -4*j + 4*c = -120, 0*j + j + 4*c = 50. Suppose -3*q - 5*h + 86 = 0, 3*q + 3*h = 2*q + j. Let s = 23 - q. What is the units digit of s? 1 Let d = 322 + 301. What is the tens digit of d? 2 What is the hundreds digit of (-9)/(-12) + 5653/4? 4 Let q(c) = 4*c**2 - 5. Suppose 0 = 3*i + 2*i - g + 9, -3 = -i + 5*g. What is the units digit of q(i)? 1 Suppose -2*q = 3*f, 2*f = -3*f. Suppose q = -5*l + l. Suppose 5*a - 78 = -l*a - i, 62 = 4*a + i. What is the tens digit of a? 1 Let u(s) = -5*s**2 + 63*s - 2. Let c be u(16). Let y = 46 - c. What is the hundreds digit of y? 3 Let c(m) = -86*m - 306. What is the tens digit of c(-11)? 4 What is the hundreds digit of (-2 - 1)/(1824/1832 - 1)? 6 Suppose -11*w + 10*w = 5*a + 1007, a + 4*w = -190. Let v = -121 - a. What is the tens digit of v? 8 Let t be 657/3 + 5 - (-1 - -3). Let r = 316 - t. What is the units digit of r? 4 What is the hundreds digit of (5 + (-44)/(-12))*183? 5 Suppose 591 = -5*p + 81. Let n = 247 + p. What is the hundreds digit of n? 1 Let a(y) be the third derivative of -y**4/8 - 4*y**3/3 - 7*y**2. Let q be a(7). Let r = q + 36. What is the units digit of r? 7 Suppose -5*y = -228 - 397. Let t = -78 + y. What is the units digit of t? 7 Let z = -172 - -795. What is the tens digit of z? 2 Suppose -4*s - 24 = -0. Let c(o) = -o**2 - 9*o + 8. What is the tens digit of c(s)? 2 Let u = 900 + 134. What is the thousands digit of u? 1 Let s = 50 + -101. Let p be (0 + -1)/(3/69). Let d = p - s. What is the tens digit of d? 2 Suppose 22*j = 1573 + 5489. What is the hundreds digit of j? 3 Let o = -258 + 915. What is the units digit of o? 7 Let t(d) = d**2 - 9*d - 18. Let o be t(-4). Suppose -o = -13*c + 70. What is the units digit of c? 8 Let s = 4 + 7. Suppose 0 = v - s*v + 1050. What is the tens digit of v? 0 Suppose 47*y = 40*y + 3997. What is the units digit of y? 1 Suppose -157*t = -182*t + 49225. What is the tens digit of t? 6 Suppose 9*y = 154 + 44. Suppose -y = -s - 4. What is the units digit of s? 8 Suppose -21 = -5*a - 2*n, -5*a - 5*n = -3*a. Suppose -a*u + 213 = -122. What is the units digit of u? 7 Suppose 0 = -i + 2*d + 2815, -6615 = -3*i - 5*d + 1863. What is the units digit of i? 1 Let l(v) = -82*v + 666. What is the tens digit of l(5)? 5 Suppose -753 = -5*t - 3*a + 1636, 2391 = 5*t + 2*a. What is the hundreds digit of t? 4 Suppose 0 = 3*q - 2*j - 6, -3*q - 4 = -7*q + 4*j. What is the tens digit of 3/(-2) - (-606)/q? 5 Suppose 0 = -2*f - 4*l + 2, -5*f = 2*l - 13. Suppose -2*z + 2*k + 102 = -120, f*k + 563 = 5*z. What is the hundreds digit of z? 1 Let g = -9 - -10. Suppose -y + 3 = g. Suppose y*v = 33 - 1. What is the units digit of v? 6 Suppose -5*o + 300 = 3*k, 4*k - 7*o + 2*o = 365. Suppose -46 - k = -3*q. What is the units digit of q? 7 Let f(x) = x**2 + 2*x - 17. Let m = 33 + -13. Let d = 13 - m. What is the tens digit of f(d)? 1 Let j = 47 - 43. Suppose 30 = j*w - 26. What is the units digit of w? 4 Let p = 4 + -8. Let v(m) = -m**2 - 4*m - 1. Let w be v(-3). What is the units digit of (w - 6)*2/p? 2 Let g be 1/(1/(-6)*-2). Suppose 4*p - 2*j = 28, p - 8 = g*j + 9. What is the units digit of p? 5 Let n(g) = g**2 - 13*g + 13. Let m be n(12). Let w = m + -1. Suppose -6 = -3*o - w. What is the units digit of o? 2 Suppose -2*a - 3*c + 131 = -151, 3*a - 438 = 3*c. Let l = 494 + -338. Suppose -l - a = -4*t. What is the units digit of t? 5 Let y(a) = a**2 - 7*a - 14. Let d be y(9). Suppose -76 = -z + 5*o - 0, d*z = 3*o + 304. What is the tens digit of z? 7 What is the tens digit of (-5)/4 + 111*200/96? 3 Let r be ((-1)/2)/((-10)/40). Let g be 279/5 + r/10. Let m = g + -39. What is the units digit of m? 7 Let b be -7*(-2)/(6/(-3)). Let z = b - 3. Let s(q) = q**2 + 5*q + 2. What is the units digit of s(z)? 2 Suppose 0 = -k + 3*k + 8, 2*d + 5*k - 122 = 0. What is the units digit of d? 1 Suppose -l = -4*b + 7539, b - 2*l + 7*l = 1890. What is the thousands digit of b? 1 Suppose -8 = -4*o - 2*t, -t = o - 4*o - 4. What is the tens digit of 4/26 + (6696/78 - o)? 8 Suppose -11*b = 90 + 9. What is the units digit of -9 + (-2250)/b + 1*3? 4 Let l(i) = i - 3*i - 3*i - i**3 - 4*i - 10*i**2 - 6. Let v be l(-9). What is the units digit of v*2*2/(-2)? 2 Let h(f) = 82*f - 96. What is the tens digit of h(3)? 5 Suppose -2*n + 4*r = -0*n - 2, 5*r + 10 = 5*n. Suppose 2*h = 5*b - 51, 0 = b - 4*h - n. What is the units digit of b? 1 Suppose -2*m + 7015 = 5*g, -3*g + 2777 = -g - 5*m. Suppose g + 335 = 8*v. What is the units digit of v? 7 Suppose 25 = -c + 2*s + 331, 5*c - 1541 = -s. What is the units digit of c? 8 Let c(f) = 49*f - 86. What is the thousands digit of c(31)? 1 Let x(v) = 10*v**3 - v**2 + v. Let r be x(1). Let t = 15 - r. Suppose 2*l = -3*l + t. What is the units digit of l? 1 Suppose -4*x + 2*x + 3*y = -4162, 3*y = 12. What is the hundreds digit of x? 0 Let c = 320 - 212. Suppose 6*f - 2*f - c = 0. What is the tens digit of f? 2 Let w(k) = -k + 16. Let u be w(-13). Let s = 67 + u. Suppose 5*c - 2*c = s. What is the tens digit of c? 3 Suppose 0 = 4*o - p - 35, -4*o + 3*p + 44 = -p. Suppose -o*c = -3*c. Suppose -r + 14 - 9 = c. What is the units digit of r? 5 Suppose 32*d = 46064 + 15120. What is the thousands digit of d? 1 Suppose 2*w + 5*y = 612 + 913, -762 = -w - 2*y. What is the tens digit of w? 6 Let a(u) = 5*u**2 - u + 62. Let f be a(11). Suppose 3*j = -j + f. What is the units digit of j? 4 Let k(t) = 3*t + 1. Let w be k(-1). What is the tens digit of (-149)/w + (-27)/(-18)? 7 Let a = 1569 + -662. What is the tens digit of a? 0 Let h(o) = -o - 3 + o**3 - 2*o - 3*o**3 - 2*o. What is the hundreds digit of h(-4)? 1 Let m(i) be the second derivative of -i**5/20 - i**4/4 - i**3/2 - 3*i**2 + 15*i. What is the tens digit of m(-5)? 5 Suppose 0 = 3*b - 813 - 5553. What is the units digit of b? 2 What is the tens digit of 121 + 2*(-5)/10*-4? 2 Let q(p) = p**3 + 28*p**2 + 25*p + 295. What is the hundreds digit of q(-24)? 9 Suppose -14*l + 10887 = 2207. What is the hundreds digit of l? 6 What is the hundreds digit of (1 + 246/1)*1? 2 Let j be ((-198)/(-24))/((-1)/4). Let z = 15 - j. What is the tens digit of z? 4 Suppose -5*h - 1852 - 1053 = -5*l, -5*h + 1751 = 3*l. What is the tens digit of l? 8 Let s = 777 - 583. What is the hundreds digit of s? 1 What is the hundreds digit of 0 + -17 + 8 - -3263? 2 Suppose 5*u - 2*b + 126 = 0, -4*u - 2*b - 87 = b. What is the tens digit of -43*(u/30)/(2/5)? 8 Suppose c - 4*x - 91 = 0, -9 = 5*x - 2*x. Suppose -2*m = 3*n - c - 40, 2*m + 2*n = 122. What is the units digit of m? 4 Let s(m) = -m**3 + 9*m**2 + 12*m - 18. Let h be s(10). What is the units digit of 2/(4/(-2)) - (-112)/h? 5 Let w = 17 - 22. Let j(i) = -i**3 - 4*i**2 + 3*i + 2. Let m be j(w). What is the tens digit of m - (-7)/(28/(-8))? 1 Let h = -61 + 64. Suppose -4*s - h*g = -187, -183 = 2*s - 6*s + g. What is the units digit of s? 6 Suppose 12*t + 24332 = 40*t. What is the hundreds digit of t? 8 Let y(g) be the first derivative of -g**5/60 - 2*g**4/3 - 5*g**3/2 - g**2/2 - 2. Let m(v) be the second derivative of y(v). What is the tens digit of m(-13)? 2 Suppose -33*r = -19*r - 18158. What is the units digit of r? 7 Let j(g) = -g**2 + 8*g - 2. Let o be j(6). Suppose -o*m + 779 = -281. What is the hundreds digit of m? 1 Let n = 414 + 812. What is the tens digit of n? 2 Suppose 2*t = 7*t - 20. Suppose 3*o + 2*h = -3*h - 23, o - 3*h + 17 = 0. What is the units digit of t/((-24)/o + -2)? 2 Let m be (-8)/(-10)*30/(-12). What is the tens digit of (-394)/(-6) - m/6? 6 Suppose -t - 4 = 0, 2*p + 3*t = -t - 46. Let n = -12 - p. Suppose 0 = -n*m - 2*v - v + 135, -4*m + 3*v + 173 = 0. What is the units digit of m? 4 Suppose x = -w + 2448, -23*w = -24*w + 4*x + 2443. What is the hundreds digit of w? 4 Let h(q) = q - q**3 + 11*q**2 - 22*q**2 + 2 + 7*q**2 - 35. What is the tens digit of h(-6)? 3 What is the hundreds digit of ((-429)/(-26))/11*2302? 4 Let a(g) = -5*g - 1. Let y = -68 + 58. What is the tens digit of a(y)? 4 Suppose -5*b = 2*r - 1573, -4*b + 4*r = 5*r - 1259. Suppose -2*k + 114 = 2*x, 0 = -5*x - 0*k + 5*k + b. What is the tens digit of x? 6 Suppose 4565 = 3*q + k, -3*k = -8*k - 20. What is the thousand
{ "pile_set_name": "DM Mathematics" }
. Suppose -a + 5*j + 10 = a, -2*j - 4 = 4*a. Sort a, k, -1 in increasing order. k, -1, a Suppose 6*r + 204 = -36. Let u be (-2)/(-9)*24/r. Put 1, u, -7/4 in increasing order. -7/4, u, 1 Let l = 1068 - 1066.8. Sort l, -2/13, 6 in descending order. 6, l, -2/13 Suppose 2*c + 3 = -3. Let z(m) = m**3 - 6*m**2 - 20*m + 115. Let u be z(6). Sort u, 4, c in ascending order. u, c, 4 Let v = 101 + -100. Put 1/3, 2/5, 2/11, v in descending order. v, 2/5, 1/3, 2/11 Let d be (-2)/(-10)*1*-1. Let b = -67 - -64.42. Let a = b + -0.42. Put a, d, 0.2 in descending order. 0.2, d, a Let q(g) = 8*g + 38. Let p be q(-6). Put p, 5, -2 in ascending order. p, -2, 5 Let x = -4 - -11. Let b(c) = c**3 - 6*c**2 - 8*c + 4. Let t be b(x). Suppose 0 = -5*j + h + 29, 4*j + 6*h - 28 = 2*h. Put -4, j, t in ascending order. -4, t, j Suppose -4*n = -2*r + 18, -5*r - 4*n = n + 15. Let v(y) = -y**2 + 6*y + 12. Let h be v(8). Let w be ((-5 + 4)*h)/((-2)/3). Sort -3, w, r in ascending order. w, -3, r Let g(n) = 2*n - 5. Let d be g(3). Let s be d - -20 - (-21 - -17). Suppose 0 = -6*z + z - s. Put 1, z, -4 in increasing order. z, -4, 1 Let u = 2 + -3. Let v = 4497 + -4491. Sort v, 5, u. u, 5, v Let x = 3.35 - 7.33. Let m = 0.02 - x. Suppose -4*z - 11 = 3*b, -1 = 4*b + z + 5. Sort b, m, 0.5 in ascending order. b, 0.5, m Let v be (-12)/7 + 8/(-28). Let t(n) = -9*n + 3. Let f be t(v). Put -1, 1/3, f in decreasing order. f, 1/3, -1 Let y = -934.09 - -938. Let o = -0.09 - y. Sort 0.2, -8, 2/7, o. -8, o, 0.2, 2/7 Let t(g) = -6*g - 42. Let x be t(-12). Sort 3, -4, 4, x in ascending order. -4, 3, 4, x Let i = -2859/217 + 92/7. Sort 1/12, 0, i in decreasing order. 1/12, 0, i Let o = 24 + -21. Suppose 0*d - 4*d = o*k + 8, 0 = 4*k + 16. Sort 2, d, -2/19 in increasing order. -2/19, d, 2 Let p = -2 - -1.9. Let u = -60.1 + -16.9. Let c = u + 72. Put p, c, 8 in decreasing order. 8, p, c Let b = -3 - 1. Let n(g) = g. Let r(y) = -y + 3. Let p(q) = 4*n(q) - r(q). Let l be p(1). Sort l, b, 3. b, l, 3 Let q(m) = -m**3 - 6*m**2 + 2*m + 15. Let w be q(-6). Suppose -5*a - 7 = 3*z + w, 3*z - 20 = a. Put z, 0.1, 33 in descending order. 33, z, 0.1 Let j = -2.8 + 3. Let g = 0.802 + -4.092. Let x = g - -0.29. Sort x, 1, j in decreasing order. 1, j, x Let o = 1.68 - 1.78. Suppose -i + 3*i = 16. Let u = 1 - 1.4. Sort i, u, o in increasing order. u, o, i Let v(g) = -g**3 + 25*g**2 + 27*g + 10. Let i be v(26). Let q be (15/10)/(3/4). Sort i, 0, q, 3. 0, q, 3, i Let g = 33 - 39. Let r be 1/(-3) + ((-4)/g)/(-1). Put 2, 7, r, -2 in descending order. 7, 2, r, -2 Let m be -3*(3/18 + 0). Let l = 2.4 + -2.8. Put 10, m, l in increasing order. m, l, 10 Suppose 0 = 2*z - 23 - 7. Suppose -5*x = -5*v, -7*v = -3*v + x + z. Let y(u) = -2*u**2 - 4*u + 1. Let i be y(v). Sort -1, 6, i in decreasing order. 6, -1, i Let m = -13 + 13. Suppose m*s = 2*t + s - 11, 3*s - 28 = -5*t. Suppose -2*d + 7*d + t*l + 30 = 0, 0 = 3*d - 2*l + 13. Put 5, 2, d in descending order. 5, 2, d Let c = -2531/3 - -844. Put 5, 0.3, c, -2/11 in decreasing order. 5, c, 0.3, -2/11 Let x = -9 + 15. Let l = -198 + 201. Put x, -4, l in increasing order. -4, l, x Suppose -2*q + 44 = -5*g, -3*g + 3*q = -4*g - 2. Let l(v) = 3*v + 20. Let r be l(g). Sort -5, r, -2 in ascending order. -5, r, -2 Let c(z) = 5*z - 1. Let k be c(-9). Let t = k + 137/3. Let f = 5.4 - 0.4. Put t, f, -4 in increasing order. -4, t, f Suppose -3*r - 4*o = 8 + 12, 0 = -5*r - 3*o - 26. Let v(k) = 17*k**3 - k**2 - k + 1. Let a be v(1). Suppose 0*y = 4*y - a. Sort y, -5, r in descending order. y, r, -5 Let f = -0.331 + 0.531. Sort 0.074, f, 1/3, -0.5 in ascending order. -0.5, 0.074, f, 1/3 Let l be (0/(1/(-1)))/1. Let t = 20186 - 20191. Put 4, -2, l, t in decreasing order. 4, l, -2, t Let j = -1 - -2. Let w be (2/3 + 184/80 - 3)*-4. Sort w, -5, j. -5, w, j Let t(o) = -o**2 + 3*o + 2. Let m be t(3). Let n(b) = b**2 + 4*b - 3. Let s be n(-5). Let h be (-1)/s + (-84)/24. Put m, 0, h in descending order. m, 0, h Let v(l) = -l**2 - 16*l + 40. Let t be v(-18). Let s be 20/((-4)/(-2) - t). Sort 1, 0.5, s. s, 0.5, 1 Let n be (4/(-2))/(-4)*(-33 + 23). Let l = -0.3 + 1.3. Sort l, -3, n in descending order. l, -3, n Let k = -1990 + 1925. Sort k, 3, 2 in increasing order. k, 2, 3 Let j = 1145 - 1142. Put j, -187, -4/7 in decreasing order. j, -4/7, -187 Let k(a) = -11*a - 229. Let x be k(-21). Suppose 5*i + 5 + 51 = 3*z, -4 = i. Let g be ((-2)/z)/(6/4). Put g, x, 0.4 in descending order. x, 0.4, g Let x = 9/2 + -4. Let j = 0.197 + 0.003. Let r = j + -3.2. Sort x, r, 5 in increasing order. r, x, 5 Let i be (-10)/(-3)*(-3)/(-2). Suppose 0 = -2*y, i*y = -3*t - t. Suppose 2*s - 1 = -t*g - g, -5*g - s = -14. Sort g, 5, -5 in descending order. 5, g, -5 Let u = 2.82 - 5.82. Sort 3/2, u, 8, -5 in descending order. 8, 3/2, u, -5 Let j = 0.1018 + -0.1018. Let b = -0.61 - -0.6. Let g = 3.01 + b. Sort 0.5, j, g in increasing order. j, 0.5, g Let i(c) = -c**2 + 6*c - 10. Let t be i(4). Suppose -l - 1 + 0 = 0. Let f = l + 3. Sort 0, t, f in descending order. f, 0, t Let n(s) = 2*s**2 - 1. Let r be n(-1). Let p be ((-7)/42)/(1/(-4)). Put r, -0.1, p, -1 in descending order. r, p, -0.1, -1 Let n = -0.3 - -1.3. Let o = 15 + -15.5. Let p = n + o. Put p, 0.2, -3 in increasing order. -3, 0.2, p Let o = 0.1811 + -0.0011. Sort -5, 3, 1/5, o. -5, o, 1/5, 3 Let v(b) = -2*b**3 + 3*b**2 + b - 2. Let z be v(2). Let d = z - -11. Let l be (-4)/d - (-117)/21. Put l, -10, 0 in descending order. l, 0, -10 Let m(d) = -d**3 - 6*d - 1. Let t be m(0). Sort t, 5, 1, -19 in increasing order. -19, t, 1, 5 Let z be 1*-2 + (-27)/(0 - -9). Sort z, -1, 1, 7 in increasing order. z, -1, 1, 7 Let c be (1 - 0/1)*7. Let s = c + -4. Sort -5, -6, s in descending order. s, -5, -6 Let q be -3*6*(-5)/(-30). Sort q, -2, 5. q, -2, 5 Let p be ((-1)/2)/(1/(-60)). Suppose -h - 66 = 5*z + 2*h, 3*z + 5*h = -p. Let w be ((-36)/z)/(-4)*5. Sort w, -1, 5 in decreasing order. 5, -1, w Let m(c) = 2*c**2 - 6*c + 4. Let k be m(2). Let v(q) = -q**2 + q - 5. Let j be v(k). Sort 0, 5, j, -3 in ascending order. j, -3, 0, 5 Let s = 1.089 + 2.711. Sort 5, 3/4, 0, s. 0, 3/4, s, 5 Let k = -43.2 - -48. Let x = -0.8 + k. Put 5, 1, x, 0.2 in decreasing order. 5, x, 1, 0.2 Let a(y) = -3*y**2 - 2*y - 6. Let j be a(-4). Let w be 3/(-7) - j/(-7). Put w, -2, 1 in decreasing order. 1, -2, w Suppose f - 17 = 5*r, r + 7 = 6*f - 4*f. Suppose -w = -3*w + f, 5*c + w = -24. Sort c, 0, -0.1. c, -0.1, 0 Let q = -0.526 + 0.406. Put q, -7, -0.4 in descending order. q, -0.4, -7 Suppose -11*a + 239 + 25 = 0. Put a, -0.5, -2 in decreasing order. a, -0.5, -2 Suppose 0 = -2*d + 3*d. Let i be -2 - d - (0 + -4). Sort 3, 5, i. i, 3, 5 Suppose 276*u = 272*u + 2*m - 14, -1 = -u - m. Put 7, -3, u in descending order. 7, u, -3 Let m = -33 - -35. Let h = -139 + 138.5. Sort 0, h, m in descending order. m, 0, h Let v = 1785 - 1784. Sort 0, 22, v. 0, v, 22 Let c = 159 + -87. Put -5, c, -1/3 in decreasing order. c, -1/3, -5 Let d be 10 - 9/((-9)/6*1). Put -3/5, 2, -5, d in increasing order. -5, -3/5, 2, d Let f(z) = z - 2. Suppose 0 = -8*p + 3*p - 5. Let m be f(p). Let h be 1/((12/(-16))/m). Sort -5, h, 5 in ascending order. -5, h, 5 Let n(o) = -o**2 - 6*o + 2. Let q be n(-6). Suppose -5*a = 5*i + 45, i - 6*i - 4*a - 40 = 0. Put q, 3, i, 1 in descending order. 3, q, 1, i Let n = -0.12 - -2.12. Let f = 18 - 17.86. Put f, n, -2 in decreasing order. n, f, -2 Let r = 1 + 3. Suppose 2*f - 5*w - 7 = -2*w, -r*f - 2*w = -22. Let g = -2.9 - 0.1. Put g, f, 2/5 in descending order. f, 2/5, g Let i = -112 - -114. Sort -0.1, -1/23, i. -0.1, -1/23, i Let m = -30 - -41. Let a = m - 25. Let d = a + 18. Sort d, 0.5, 2. 0.5, 2, d Let w = 379/15 + -133/5. Let m = 110/9 + -12. Sort m, 3, 0.1, w in increasing order. w, 0.1, m, 3 Suppose -x - 7 = -q, 5 = -q - 4*x + 2. Let j(i) = -i**2 - 2*i - 2. Let m be j(-1). Put 0, m, q in ascending order. m, 0, q Let q be 4/(-2 - (1 - 1)). Let b(p) = p**3 - 5*p - 1. Let j be b(q). Put j, 12, 0 in descending order. 12, j, 0 Let b(p) = -7*p - 100. Let c be b(-14). Put 7, -7, c in decreasing order. 7, c, -7 Let n = 24 + -19. Suppose -9 = -6*d + 3*d. Let b = -62 + 66. Put d, n, b in decreasing order. n, b, d Let j = -21 + 56. Suppose j = -3*n - 2*n. Put n, -2, -5 in decreasing order. -2, -5, n Suppose -2*z -
{ "pile_set_name": "DM Mathematics" }
5692. 4 Calculate the greatest common factor of 234726 and 852. 426 What is the greatest common factor of 169 and 13? 13 Calculate the highest common factor of 29 and 293770. 29 What is the highest common factor of 21504 and 3612? 84 What is the greatest common divisor of 28728 and 1071? 63 Calculate the greatest common divisor of 52 and 1521. 13 Calculate the greatest common divisor of 267 and 11125. 89 What is the greatest common factor of 20648 and 108344? 232 What is the greatest common factor of 450 and 601925? 25 Calculate the greatest common factor of 90 and 104050. 10 Calculate the highest common factor of 7170 and 19359. 717 Calculate the greatest common divisor of 1404 and 4316. 52 What is the greatest common divisor of 13855 and 13175? 85 Calculate the highest common divisor of 495 and 1595. 55 What is the highest common divisor of 974529 and 342? 171 Calculate the greatest common divisor of 20350 and 143. 11 Calculate the greatest common factor of 35 and 136885. 35 What is the highest common divisor of 141733 and 4878? 271 Calculate the highest common factor of 130 and 6040. 10 What is the greatest common divisor of 24815 and 21979? 709 Calculate the highest common factor of 7296 and 1536. 384 Calculate the greatest common divisor of 1323 and 1602. 9 What is the greatest common divisor of 509639 and 3152? 197 What is the highest common factor of 201 and 105793? 67 What is the greatest common factor of 1611986 and 438? 146 What is the greatest common factor of 1023 and 5544319? 341 What is the greatest common factor of 1568 and 752? 16 Calculate the highest common factor of 14184 and 2304. 72 Calculate the greatest common divisor of 185 and 890. 5 Calculate the highest common divisor of 408 and 11496. 24 Calculate the highest common factor of 21402 and 163098. 738 What is the highest common factor of 14229 and 1488? 93 What is the greatest common divisor of 97299 and 855? 171 Calculate the greatest common divisor of 535 and 218066. 107 What is the highest common factor of 520820 and 40? 20 Calculate the greatest common factor of 1209 and 15015. 39 Calculate the highest common factor of 165 and 1749. 33 Calculate the highest common divisor of 2 and 583370. 2 Calculate the highest common divisor of 9 and 10096. 1 What is the greatest common divisor of 1957005 and 36? 9 What is the greatest common divisor of 156 and 21736? 52 What is the greatest common divisor of 5048 and 64? 8 What is the highest common factor of 91 and 134407? 91 Calculate the greatest common divisor of 948 and 12561. 237 What is the greatest common factor of 56764 and 184? 92 What is the highest common factor of 119 and 42756? 7 What is the highest common divisor of 2574891 and 18? 9 What is the greatest common factor of 345 and 119485? 115 What is the greatest common divisor of 4380 and 90? 30 Calculate the greatest common factor of 83 and 168407. 83 What is the greatest common divisor of 145 and 323611? 29 Calculate the highest common divisor of 71 and 21927782. 71 What is the greatest common factor of 5824 and 282688? 448 Calculate the highest common factor of 10920 and 117040. 280 What is the greatest common divisor of 2680456 and 16? 8 Calculate the highest common factor of 5150 and 44805. 515 What is the highest common divisor of 91788 and 732? 12 Calculate the highest common divisor of 242281 and 26. 13 What is the greatest common divisor of 588 and 22254? 6 Calculate the highest common factor of 171 and 333. 9 Calculate the highest common factor of 300306 and 198. 6 What is the highest common divisor of 44 and 268972? 44 Calculate the greatest common divisor of 162 and 4038. 6 What is the greatest common factor of 640 and 10976? 32 Calculate the highest common factor of 4251891 and 21. 21 What is the greatest common divisor of 294 and 63966? 42 Calculate the highest common factor of 475 and 7855. 5 What is the greatest common factor of 1234 and 66? 2 What is the greatest common factor of 8833 and 511? 73 Calculate the greatest common divisor of 132616 and 13552. 968 What is the highest common divisor of 14201 and 539? 11 Calculate the highest common divisor of 707325 and 60. 15 What is the highest common factor of 96 and 72144? 48 What is the highest common divisor of 19392 and 909? 303 Calculate the greatest common factor of 441 and 8869. 49 Calculate the greatest common divisor of 108110 and 10. 10 Calculate the highest common divisor of 844 and 824377. 211 What is the highest common factor of 43328 and 128? 64 What is the highest common factor of 328 and 84296? 328 Calculate the greatest common divisor of 44576 and 169792. 224 Calculate the greatest common divisor of 1151958 and 888. 222 What is the greatest common divisor of 53022 and 9? 3 What is the greatest common factor of 162313 and 7720? 193 What is the greatest common factor of 101178 and 36? 18 Calculate the highest common factor of 8477 and 57263. 173 Calculate the greatest common divisor of 336 and 3465. 21 Calculate the highest common factor of 13323 and 27. 3 Calculate the highest common factor of 261 and 1695. 3 Calculate the greatest common factor of 29 and 898333. 29 What is the greatest common factor of 59 and 1903163? 59 What is the greatest common factor of 604 and 38354? 302 Calculate the highest common factor of 3520 and 2208. 32 What is the greatest common divisor of 3825 and 5850? 225 What is the greatest common divisor of 1595 and 1760? 55 What is the highest common factor of 246389 and 52? 13 What is the highest common factor of 9114 and 22638? 294 What is the highest common factor of 11871296 and 64? 64 Calculate the greatest common factor of 39125 and 37247. 313 Calculate the greatest common factor of 4875 and 2145. 195 What is the greatest common factor of 20256 and 229146? 1266 Calculate the highest common factor of 234 and 289854. 18 Calculate the greatest common divisor of 1002072 and 12. 12 Calculate the greatest common factor of 1677767 and 91. 91 What is the greatest common factor of 1150 and 46? 46 What is the highest common factor of 9 and 1070523? 9 What is the highest common divisor of 1422135 and 2295? 765 Calculate the highest common factor of 75 and 46275. 75 Calculate the greatest common divisor of 33 and 60181. 11 What is the greatest common factor of 1190 and 1030? 10 Calculate the greatest common divisor of 15 and 10915. 5 What is the greatest common factor of 350 and 185920? 70 What is the highest common factor of 18 and 211986? 18 What is the greatest common factor of 2017386 and 945? 189 Calculate the highest common divisor of 10496 and 943. 41 What is the greatest common factor of 602 and 49154? 14 Calculate the greatest common divisor of 639643 and 178. 89 Calculate the greatest common factor of 27 and 23103. 9 What is the greatest common divisor of 201356 and 568? 284 What is the highest common divisor of 913 and 90636? 83 Calculate the greatest common divisor of 10 and 4570. 10 What is the greatest common factor of 190 and 3370? 10 Calculate the greatest common divisor of 697140 and 630. 90 Calculate the greatest common divisor of 10 and 7430. 10 What is the highest common divisor of 11704 and 17290? 266 What is the greatest common divisor of 130493 and 88? 11 Calculate the highest common divisor of 11 and 6941. 11 What is the highest common factor of 2 and 156670? 2 Calculate the highest common factor of 258 and 200337. 129 What is the highest common divisor of 27 and 675261? 9 Calculate the highest common divisor of 77851 and 762. 127 What is the highest common factor of 3990 and 156? 6 Calculate the greatest common divisor of 9 and 1611. 9 Calculate the highest common factor of 12648 and 476. 68 What is the highest common factor of 531 and 21181? 59 Calculate the greatest common divisor of 1596 and 2316. 12 What is the highest common factor of 140 and 8260? 140 Calculate the greatest common divisor of 10906 and 98. 14 What is the greatest common divisor of 2547 and 113200? 283 Calculate the greatest common divisor of 9052 and 876. 292 Calculate the greatest common factor of 91971 and 36. 9 Calculate the greatest common factor of 95 and 7582045. 95 Calculate the greatest common divisor of 874 and 28520. 46 What is the greatest common factor of 1
{ "pile_set_name": "DM Mathematics" }
value? (a) -3/22 (b) 38 (c) -2/7 (d) 0.3 b What is the fourth smallest value in 48, -7, 0.3, -0.2, 0.13? 0.3 Which is the smallest value? (a) -2/9 (b) -3/2 (c) 0 (d) 6/7 (e) -26 (f) 2 e What is the third biggest value in 0, 0.07, 0.5, 157? 0.07 What is the second biggest value in 0, -4, 7.6, -3, -12? 0 What is the third smallest value in 2, -8, 0, 3, -3? 0 Which is the fourth biggest value? (a) -4 (b) -1 (c) 9/13 (d) -5 d What is the fourth biggest value in 8/5, 2, 561, 1? 1 What is the second biggest value in 0.1, 7, -952.3? 0.1 What is the third biggest value in 162417/7, 1/9, 0.1? 0.1 What is the second smallest value in 47, -0.04, 2, 217? 2 Which is the second biggest value? (a) -5 (b) -33/47 (c) -3 c What is the biggest value in -0.37, -1, 6, 1? 6 Which is the second smallest value? (a) -2/13 (b) -3 (c) -68 b Which is the second biggest value? (a) -60 (b) -4 (c) -5 (d) -0.4 (e) 0.3 (f) 2/7 f What is the fourth biggest value in 0.07, 0.2, 840, 4, -4? 0.07 Which is the fifth biggest value? (a) 3 (b) -2/11 (c) 2/5 (d) 0.5 (e) -3 e Which is the sixth biggest value? (a) -222 (b) -4/7 (c) 3 (d) -0.1 (e) -0.4 (f) 1 a Which is the second smallest value? (a) 2/5 (b) -1/76 (c) 6287 a What is the second smallest value in -5/34, 1/10, 4.25? 1/10 What is the biggest value in 1.4739, -0.2, -4? 1.4739 What is the third biggest value in -0.46, -149/5, 0? -149/5 What is the third smallest value in -23/3, 21, 10/13? 21 Which is the biggest value? (a) 1/6 (b) -5 (c) -1689 (d) 2 (e) 3/5 d What is the third smallest value in 0.5, -2, -6649? 0.5 What is the second smallest value in -450, 0.1, 105, -1/5? -1/5 What is the fourth biggest value in 0.4, -5, 10, -5/3, -9, 3? -5/3 Which is the second biggest value? (a) -1505 (b) -2 (c) 2/11 (d) 0.7 c Which is the biggest value? (a) -2/63 (b) -1/9 (c) 399 c Which is the third smallest value? (a) -277 (b) -5 (c) 0.2 (d) -2535 b Which is the fourth biggest value? (a) -0.4 (b) 0.146 (c) 0.5 (d) -1/7 (e) -1/3 e Which is the biggest value? (a) -4.388 (b) 1/4 (c) 0 b Which is the fourth smallest value? (a) -0.2 (b) -0.12 (c) -2 (d) 0.6 (e) -0.29 b Which is the biggest value? (a) -1/13 (b) -0.022 (c) -15 b What is the third biggest value in -1, -17.4, -4/7, -0.2? -1 What is the third biggest value in 4.1, 1/3, -128? -128 What is the smallest value in -5, -2/3, 1/5, -2.5, 4? -5 What is the fourth biggest value in -3/11, 1, 4/175, 5, -4? -3/11 Which is the sixth biggest value? (a) 65 (b) 3 (c) -3/7 (d) -2 (e) 1/2 (f) 4 d Which is the second smallest value? (a) -1 (b) 0.05 (c) 1/378 c Which is the third smallest value? (a) -12404 (b) 16/5 (c) -0.1 b Which is the smallest value? (a) -0.21 (b) -1 (c) -5 (d) 5 (e) -0.5 (f) -1/15 c Which is the third smallest value? (a) -0.01 (b) 12899 (c) 6/13 b Which is the biggest value? (a) -0.587 (b) 2 (c) 167 c What is the fifth biggest value in 6968, -1/6, 0.3, 17, -2, -4? -2 Which is the second biggest value? (a) -0.1 (b) 0.1 (c) 8 (d) -4/12265 b What is the fourth smallest value in -3, 176, -1.1, -0.3, 2/7? 2/7 What is the third smallest value in 3, -0.2269, 0.3? 3 Which is the fourth smallest value? (a) -5 (b) -1421 (c) -20 (d) 4 d Which is the third biggest value? (a) -8/7 (b) -0.4 (c) -0.1 (d) 0.4 (e) 19 (f) -0.6 c What is the fifth smallest value in -1, -1/22, -0.27, -4/5, -2, 2/3? -1/22 What is the third smallest value in -2/9, 974, -2, -0.3, -7? -0.3 What is the biggest value in -1/5, 1/6, 126, -2/11, -3? 126 What is the fourth biggest value in 1.1, 0.4, -9/5, -0.4, 10? -0.4 What is the fourth biggest value in 3, 0, -0.08, 4, 24/13? 0 What is the fifth biggest value in -5, -7, 2, 1.28, 0.2? -7 Which is the smallest value? (a) -0.24 (b) 3 (c) -0.03 (d) 297/13 a Which is the smallest value? (a) -0.5 (b) 5 (c) 14 (d) -23 (e) 0.2 d Which is the second smallest value? (a) -0.1 (b) 0.24 (c) 8 (d) -5 (e) 4/25 a Which is the smallest value? (a) 3/4 (b) -2 (c) 391 (d) -43 d What is the third biggest value in -0.5, 0.4, 2/3, 250, 2, 10? 2 What is the second biggest value in 0.2, -0.6, 2.9, 13.56? 2.9 Which is the second smallest value? (a) 2 (b) -20/49 (c) -42 (d) -16 d Which is the second smallest value? (a) -0.9 (b) 65 (c) -9 a What is the biggest value in 1/5, -4, 548? 548 Which is the second biggest value? (a) 2 (b) 0.1 (c) -33 (d) 3 (e) 0.01 a Which is the biggest value? (a) 1/28 (b) 0.1 (c) 116 c What is the second smallest value in -51, -24, 2? -24 What is the second biggest value in 2, -1/6, 5, 144, 3, 1/4? 5 What is the third biggest value in 2, 0.2, 19000? 0.2 Which is the third smallest value? (a) 0.29 (b) 5 (c) 0.5 (d) 0.4 (e) 4 (f) 17 c What is the fourth biggest value in 3, -5, -0.089, -1, -17.4? -5 What is the third biggest value in 4/33, 218.5, 1/3, 3? 1/3 What is the second smallest value in -3, 1/10, -2310? -3 Which is the fourth smallest value? (a) 5 (b) 7 (c) -1 (d) -0.2 (e) 17 b Which is the fifth smallest value? (a) -6 (b) 2 (c) -2 (d) -77 (e) -3 b Which is the sixth smallest value? (a) -0.406 (b) -0.2 (c) 2/9 (d) -2/87 (e) 1 (f) -1 e What is the biggest value in 123/17, -0.7, -0.03, -12? 123/17 Which is the second smallest value? (a) 1/145 (b) 12 (c) -2 (d) -0.05 d What is the fourth biggest value in -1.7, 5/4, 3/2, -0.2, -6, 66? -0.2 What is the second biggest value in -3, -1/16, 364? -1/16 Which is the third biggest value? (a) -5 (b) 0.07 (c) 1/6 (d) 0.03 (e) -3/5 d Which is the sixth smallest value? (a) -2 (b) 3 (c) 0.3 (d) -5/1896 (e) -5 (f) -0.5 b What is the third smallest value in -5, 0, 2, 3/8, -691, -25? -5 Which is the smallest value? (a) -1 (b) -6 (c) -2 (d) -0.761 (e) 0 b Which is the biggest value? (a) -0.1 (b) -0.124 (c) -3/2 (d) -2 (e) 6/5 (f) 1 e Which is the third biggest value? (a) 0.4 (b) 2/1303 (c) -0.3 c What is the second biggest value in 4/5, -0.2, 22, 5446/9, 0? 22 Which is the biggest value? (a) -1/256 (b) -0.1 (c) -1.7 (d) 7 (e) -0.3 (f) -3/7 d Which is the fourth smallest value? (a) 152 (b) -0.1 (c) 1/8 (d) 1 (e) -3/5 d What is the second smallest value in 21.83, 5, -0.072? 5 What is the fifth biggest value in 4, -5, -0.2, -19.46, -2/7? -19.46 What is the third smallest value in 379/3, 0.07, 0.1, -9? 0.1 Which is the third biggest value? (a) 1/4 (b) 9 (c) -5703 c Which is the second smallest value? (a) 19 (b) -13 (c) 1/3 (d) -2/13 d What is the third smallest value in 5, -37.1, 0.7, 0.1? 0.7 Which is the smallest value? (a) -3/2 (b) -0.1 (c) 13 (d) -49.1 d What is the third biggest value in -1, -0.3, -46, -0.1, -1/4, 0? -1/4 What is the smallest value in -4, 0.13, -0.4, -1/6, 21/8? -4 Which is the sixth smallest value? (a) -1 (b) -3/5 (c) -1956 (d) 2 (e) 0.5 (f) 5 f What is the third smallest value in -0.1, 3/7, -10.186? 3/7 Which is the smallest value? (a) -2/67 (b) 0.5 (c) -3 (d) -1/8 (e) 4 (f) -0.5 c What is the biggest value in -0.49, 14, -5, -7, 1, -0.5? 14 Which is the fourth biggest value? (a) -4 (b) 2/3 (c) 0.3 (d) -21 (e) -2.3 (f) 0.5 e What is the second smallest value in -1, -3, 0.051468? -1 What is the fifth smallest value in -3, -0.39, 1.54, -0.4, 5? 5 What is the smallest value in 252, -0.4, 4? -0.4 Which is the second biggest value? (a) -21 (b) 141 (c) -0.32 c What is the fourth smallest value in 183, -4/3, 22, 4? 183 What is the second smallest value in 2/89, -1220, -5/3, 2, -1/3? -5/3 Which is the third smallest value? (a) -14/5 (b) 33 (c) -2/17 b Which is the second smallest value? (a) -3 (b) -0.1 (c) -6367 a Which is the sixth smallest value? (a) -2 (b) 0 (c) 2/125 (d) -0.2 (e) -3 (f) 63 f Which is the third biggest value? (a) 49 (b) 5/3 (c) 2/61 (d) -5 (e) 3 (f) -0.4 b Which is the fifth smallest value? (a) -0.7 (b) 5 (c) -3 (d) 2/5 (e) -0.2 (f) -212/21 d Which is the fourth biggest value? (a) 1 (b) 3.2 (c) 431/4 (d) 1/2 d Which is the smallest value? (a) 0 (b) -1/6 (c) -2742.3 c What is the fourth biggest value in 148, 5, 2.4, -0.3? -0.3 Which is the third biggest value? (a) 3/7 (b) -0.6 (c) -14 c Which is the fourth biggest value? (a) -5 (b) -1 (c)
{ "pile_set_name": "DM Mathematics" }
-1)/(-3)*(-96)/4*1. -8 Calculate (15/(-45))/(1/3). -1 What is ((-56)/(-7))/80*4? 2/5 What is (64/72)/(2/9)? 4 What is (6/22)/((-3)/2)? -2/11 (1*3)/(166/166) 3 What is the value of 5/(-1)*(-1)/(-15)*-6? 2 9/(-3)*(-28)/21 4 What is -10*(-1)/12*(-12)/75? -2/15 Calculate ((-1)/5*1)/((-63)/105). 1/3 What is the value of (-15)/30*(-2)/2*-1? -1/2 1/2*15/10*-1 -3/4 Evaluate (-18*(-3)/10)/(27/45). 9 What is the value of ((-9)/(-12))/(10/20)? 3/2 What is the value of (-12)/2*((-12)/(-54))/(-2)? 2/3 What is -4*(-3)/(-18)*3/(-2)? 1 Calculate (-1)/(-1*77/14). 2/11 What is 55/11*(1/(-1))/(-1)? 5 What is (-6)/28*-4*(-2)/(-6)? 2/7 Calculate (12/(-27))/(440/(-396)). 2/5 Calculate ((-12)/(-9))/(28/(-18)). -6/7 Evaluate ((-84)/(-63))/(40/18). 3/5 Calculate 8*((-60)/990)/((-16)/6). 2/11 Evaluate (-1)/2*(-765)/(-510). -3/4 What is the value of ((-2)/(2/(-5)))/((-400)/(-160))? 2 What is ((24/(-108))/(-1))/(19/9)? 2/19 12/(-20)*(-5)/3 1 What is ((-1)/((-14)/(-12)))/(12/(-21))? 3/2 ((-6)/18)/(4/(-3)) 1/4 ((-8)/(-8))/(1/(-3)) -3 (1/(-1))/((-231)/(-66)) -2/7 Calculate ((-4)/(-10))/((-70)/50). -2/7 Calculate 4/10*-9*(-9)/162. 1/5 Calculate (-6)/(-3)*(-8)/(-16)*-4. -4 (672/(-270))/14*45/(-36) 2/9 What is the value of (6/(-21))/(5*2/(-28))? 4/5 Evaluate (-5)/((-1750)/300*2/(-14)). -6 Evaluate (4/(-10))/(-2*(-4)/(-80)). 4 0/(8/(-16)*-4) 0 Calculate ((-32)/24)/(28/6). -2/7 Calculate (4*(-3)/(-4))/1. 3 What is (12/14)/(15/(-21))? -6/5 What is 21/14*(-2)/7? -3/7 (24/(-100))/(129/215) -2/5 Evaluate 2*-1*-3*6/36. 1 What is -4*(2/4)/((-33)/(-33))? -2 What is (3/(-14))/(23/(805/30))? -1/4 Evaluate (2/7)/((26/(-56))/(-13)). 8 What is (((-8)/40)/(-1))/(4/(-70))? -7/2 What is 24/20*(-3)/6*5? -3 What is 2*6/30*10? 4 What is ((-4)/14)/((-2)/(70/(-5)))? -2 Calculate ((-20)/16)/(2/8). -5 What is the value of (4/(-6))/(2*9/(-36))? 4/3 What is (((-135)/25)/9)/((-7)/(-5))? -3/7 Evaluate (-9*1)/((-117)/(-78)). -6 Calculate ((-1)/(-6))/(12/(240/(-25))). -2/15 Evaluate ((45/35)/(-3))/(2/7). -3/2 (-4)/((12/8)/3) -8 438/(-1095)*30/(-4) 3 Evaluate (86/645)/((1/1)/3). 2/5 What is ((-1)/6)/(-2*15/80)? 4/9 Calculate (((-12)/(-9))/(-2))/(70/15). -1/7 ((-3)/(-4))/((-1)/4) -3 Calculate (-6)/(-12)*18*6/(-9). -6 ((-5)/10)/((-1)/2)*-1 -1 Evaluate 25/(-2)*(-95)/(-475). -5/2 What is the value of -1*(4/((-36)/(-45)))/1? -5 Calculate 2/(2*(-2)/10). -5 14/3*(-11)/(154/21) -7 Evaluate (8/8)/(14/7). 1/2 Evaluate 3/((81/4)/(129/(-86))). -2/9 5*2*(-6)/12 -5 What is (39/(-13))/(14*6/8)? -2/7 Evaluate (-1)/(-2)*(-2)/4*-16. 4 What is 6/5*(-70)/21*1? -4 What is the value of (((-154)/(-182))/11)/(1/2)? 2/13 What is 2*(17/170)/((-1)/(-4))? 4/5 What is (-8)/12*(9/(-4))/3? 1/2 Calculate (3*(-4)/390)/(1/(-5)). 2/13 594/(-693)*(-56)/6 8 Evaluate 30/9*(-10)/(-160)*8. 5/3 1/(9/(-36)*(-2)/(-1)) -2 Evaluate (4/24*15)/(1/2). 5 What is (32/(-56))/((-30)/70)? 4/3 (-8)/(320/(-45))*(-8)/6 -3/2 18/(-63)*-7*-1 -2 Evaluate ((-10)/120*8)/(4/(-6)). 1 5/((-30)/9)*12/(-288) 1/16 What is (((-336)/(-90))/(-14))/((-98)/(-35))? -2/21 Evaluate (-17)/((-136)/84)*8/(-12). -7 (112/28)/(4/8) 8 What is the value of 30/(-4)*(-6)/9? 5 Evaluate (-16)/48*6/(-4). 1/2 Calculate (1/(-1))/((-369)/82). 2/9 1/((-11)/((-121)/(-11))) -1 What is the value of (535/(-214))/(2/(-4))? 5 What is the value of (-9)/((-189)/(-14))*(-6)/(-20)? -1/5 Calculate 6/(-8)*(988/(-133))/13. 3/7 What is 49/(-7)*(-1)/(7/4)? 4 Evaluate ((-5)/((-100)/(-3)))/((-81)/(-72)). -2/15 Evaluate ((-1)/2)/(5/(-30)). 3 What is ((40/25)/2)/(1/(-5))? -4 What is the value of 2/(1*(-2)/(-3))? 3 Evaluate (27/(-27))/((-1)/7). 7 Evaluate ((-2)/4)/((-230)/92). 1/5 What is ((-15)/20)/((-11)/(440/6))? 5 What is (-6)/(-4)*2/3*8? 8 -4*(-7)/(-168)*-6 1 What is ((-1)/(-2))/(-9*(-2)/(-90))? -5/2 What is the value of -8*3/(-12)*1? 2 Calculate ((-6)/8)/((-54)/(-36))*14. -7 Calculate 0/(((-16)/12)/(12/(-18))). 0 Calculate ((-57)/247)/((-6)/(-4)). -2/13 Evaluate 1/1*(-8)/80*-10. 1 What is (4/1)/(228/(-6))? -2/19 (51/34)/((-9)/42) -7 -32*(-6)/(-252)*3/4 -4/7 Calculate (-1)/3*-1*105/(-7). -5 8*10/(-20)*(-2)/(-4) -2 What is 14/(-168)*4/2*-5? 5/6 ((-40)/60)/((-8)/(-2)) -1/6 Evaluate (-3)/(-1*(-12)/16). -4 What is the value of 0/(((-10)/(-20))/((-2)/8))? 0 What is the value of 3*6/2*(-10)/(-30)? 3 What is (-10)/15*(-63)/(-14)? -3 What is the value of (6/20)/((-15)/900*-6)? 3 What is the value of 8/6*(21/7)/3? 4/3 What is the value of 7/56*-4*-10? 5 Evaluate ((-12)/(8/2))/(-4)*-1. -3/4 Calculate 3*(112/12)/7. 4 What is (-2)/3*3*3/(-3)? 2 Evaluate (-1)/((8/(-44))/(36/(-66))). -3 What is the value of ((-10)/(-15))/((-2)/(-3))? 1 What is 545/218*3/(-6)*2? -5/2 -2*1/1*3/(-6) 1 What is the value of ((-7)/7)/3*-1? 1/3 Calculate 9/3*(-10)/50. -3/5 What is the value of (3/(-6))/((-90)/24)? 2/15 Evaluate (1/10)/(48/(-120)). -1/4 (-441)/196*((-16)/6)/2 3 What is the value of (9/(-45))/(9/15)? -1/3 Calculate (-16)/(-2)*(-29)/174. -4/3 (15/(-9))/(2/(-6)) 5 Evaluate (1/(-3))/((-9)/27)*-1. -1 What is the value of 12/(-2)*6/(-126)*-14? -4 Evaluate ((-190)/95)/((-18)/(-3)). -1/3 What is (-4*(-3)/6)/(-5*2)? -1/5 What is ((374/55)/17)/1? 2/5 Evaluate (24/(-120)*0/(-2))/(-4). 0 What is (-8)/(6/12*4)? -4 Calculate (16/10)/((12/10)/1). 4/3 What is the value of (-4)/(8/10)*5/25? -1 What is the value of (-12)/9*60/40? -2 What is ((-8)/((-112)/(-49)))/(10/(-20))? 7 -2*3*(-7)/(84/(-6)) -3 Evaluate 1*((-1)/15)/(3/(-9)). 1/5 Calculate ((-2)/4*1)/(291/582). -1 Evaluate 18/66*(-2)/(-3). 2/11 Calculate (-20)/(-135)*-6*(-1)/4. 2/9 Calculate ((-35)/(-7))/5*-7. -7 What is the value of ((-3)/3)/(5/25*5)? -1 What is the value of ((-33)/(594/12))/((-1)/3)? 2 (-18*2/(-6))/(2/(-2)) -6 What is the value of (64/96)/(2*(-1)/9)? -3 Evaluate 1*-1*35/(-35). 1 What is ((-11)/55)/((-2)/(-20))? -2 What is the value of (-8)/(-4)*3/(-30)? -1/5 What is (-5)/(-20)*(-4)/(-1)? 1 Calculate (6/(-9))/((-6)/(-3))*-1. 1/3 What is the value of 9/18*((-72)/3)/(-3)? 4 Evaluate ((-5)/(-4))/((-90)/(-36)). 1/2 Calculate ((-1)/(-2))/(29/116). 2 What is the value of 2*12*(-5)/(-780)? 2/13 ((3/(-2))/1)/((-27)/(-12)) -2/3 Calculate ((-10)/20)/((-17)/(-306)). -9 Calculate (19/38)/((5/6)/(-5)). -3 (1/20)/((-6)/90*-6) 1/8 What is -4*1*48/(-32)? 6 Evaluate (-8)/12*-6*(-3)/42. -2/7 Calculate 2*1*3/((-48)/40). -5 What is 0/(1/(3/3))? 0 Evaluate 6/2*1*378/(-162). -7 What is the value of 168/154*(-2)/4? -6/11 Calculate 5*2*4/(-16)*2. -5 What is the value of (((-1)/5)/1)/((-6)/(-18))? -3/5 Evaluate (((-20)/(-16))/(-5))/((-3)/4). 1/3 What is (-8)/(-32)*2/(-9)*8? -4/9 Calculate ((-116)/29)/(2/2). -4 What is 3/30*(-55)/(-33)? 1/6 ((-33)/(-22))/((-1)/2) -3 Evaluate -1*(-4)/(-2)*(-126)/(-28). -9 What is ((-2)/6)/(15/(-100)*-5)? -4/9 Calculate 6/1*-2*(-9)/(-36). -3 Evaluate (-2)/(-2)*(-195)/39. -5 Evaluate -1*(-3)/15*-5. -1 5/((-11)/((-11)/(-4))) -5/4 Calculate 1534/(-236)*(-40)/26. 10 What is 915/(-122)*(-4)/(-10)? -3 Evaluate (2/1)/4*(-2)/(-1). 1 What is -3*-12*7/(-756)? -1/3 Evaluate (-6)/3*(-6)/78. 2/13 9/(-30)*50/(-5) 3 Calculate (-25)/15*10/(-75). 2/9 Evaluate 3/(-2*6/(-48)*-3). -4 (-12)/4*(-56)/(-21) -8 Calculate (-1)/(((-143)/2)/13). 2/11 What is (-120)/16*3*(-4)/18? 5 What is ((-50)/(-225))/((-4)/(-126))? 7 What is the value of (-1)/4*138/(-115)? 3/10 (19/19)/((-7)/35) -5 Evaluate ((-36)/18)/(-3*3/(-9)). -2 Evaluate 25/(-10)*6/(-25). 3/5 Evaluate ((-9)/((-18)/(-4)))/(-7). 2/7 2/(-4*8/((-64)/18)) 2/9 What is the value of (2/(-12)*3)/(-2)? 1/4 Evaluate ((-6)/18)/(3/18*-2). 1 Evaluate (-5)/(-2)*-1*12/(-10). 3 Evaluate (87/(-58))/((-66)/(-4)). -1/11 ((-4)/13)/(-11*(-16)/88) -2/13 What is the value of 1*4*(186/(-8))/(-31)? 3 (-1)/(-1*(-5)/20*4) -1 Calculate ((-4)/(-21))/(6/(-9))*-21. 6 What is -10*(-9)/75*-5? -6 Evaluate -6*7/(-7)*3/(-9). -2 Calculate (5/(-2))/(((-12)/(-6))/4). -5 ((-2)/(-4))/((-7)/42) -3 What is (5/(-6))/((-55)/33)? 1/2 (-3)/2*10*28/(-315) 4/3 ((-18)/(-60))/(5/((-20)/6)) -1/5 Calculate ((-33)/539*-14)/(22/14). 6/11 Calculate (3/(-60))/((-24)/(-60)). -1/8 Evaluate 12/8*4/24*-4. -1 Evaluate (-228)/4940*10/3. -2/13 Calculate (1/2)/(192/(-128)). -1/3 37/((-1850)/60)*10/(-33) 4/11 What is ((207/(-18))/23)/(3/3)? -1/2 6*(-4)/(-72)*(-9)/4 -3/4 What is ((60/3)/4)/((-4)/(-4))? 5 (6/(-40))/((-30)/(-25)) -1/8 Calculate (0/(-7))/((-8)/(-16)*4). 0 Calculate -8*6/72*(-3)/1. 2 Evaluate (
{ "pile_set_name": "DM Mathematics" }
d, 3*b + 4*d = 2*b + 7 for b. -1 Solve -3*f + 5*x = 20, 3*f + 5*x + 9 = -1 for f. -5 Solve -22*q + 17*q = n - 20, -5*n = 25 for q. 5 Solve 0 = 5*z - 4*l - 2, 0 = -z + 23*l - 28*l + 12 for z. 2 Solve -3*h + 27 = -k - 2*k, 2*k + h = -3 for k. -4 Solve -4*f = 3*k, -3*f + 2 = 3*k - 1 for k. 4 Solve 3 = -4*k - 1, -5*k - 41 = -4*h for h. 9 Solve 2*n = -5*k + 8 - 24, -k - 2 = n for k. -4 Solve -q + 2 = -f, -5*q + 0 = -3*f - 4 for q. -1 Solve 7*j = 10*j + 9, 4*d - j + 1 = 0 for d. -1 Solve 2*l + 3*c - 22 = 0, -33*l + 4*c - 29 = -36*l for l. -1 Solve 2*r - 37 + 53 = -4*s, -16 = 3*r + 2*s for r. -4 Solve q + 0*n + 5 = -n, -4*q = -2*n + 20 for q. -5 Solve -3*l = 2*i + 10 - 2, 5*i - 3*l + 20 = 0 for i. -4 Solve -1 = a - 4*t, -31*t = 2*a - 34*t - 3 for a. 3 Solve -3*o = -g - 5, -22*g + 2*o + 40 = -30*g for g. -5 Solve -12 = 2*n + 5*g + 6, -g = -5*n + 9 for n. 1 Solve -b = 3*d + d + 19, -5*b - 11 = -d for b. -3 Solve 5*q + 5*x - 19 = -39, 2*q + x + 4 = 0 for q. 0 Solve 4 = -4*l, 6 = 4*y - 4*l + 2*l for y. 1 Solve 5*g - 5 = -3*r, 28 = 5*r + g + 5 for r. 5 Solve -2*a = 4*w + 24, 3*w - 6*a = 8*w + 44 for w. -4 Solve -4*g - u = -18, 4*g - 14 = -4*u + 5*u for g. 4 Solve 0 = -3*i - 2*s - 3, -i - 3*s + 0 = -6 for i. -3 Solve g = -3*s + 9, s = 21*g - 20*g + 7 for s. 4 Solve -5*n - 2*s - 1 = 0, 2*n = -0*n - 5*s + 8 for n. -1 Solve -5*k - 30 = 9*h - 14*h, 2*k + 8 = h for k. -2 Solve -2*r - 2 = 4*v, -4*v - 14 + 9 = 3*r for v. 1 Solve -k + 5*h - 29 = 0, -7*h + 3*h = 3*k - 8 for k. -4 Solve -16 = -2*v - 2*i, 3*v - i - 3*i + 4 = 0 for v. 4 Solve -24 = 5*v + h, -4*h + 8*h + 16 = 0 for v. -4 Solve j = -4*j + z - 3, 0 = 4*j + 2*z - 6 for j. 0 Solve 3*c = 4*s - 26, -6*c + 4*s = -c + 30 for c. -2 Solve r - s + 0*s - 2 = 0, -8 = -5*r + 4*s for r. 0 Solve -3*n + 5*d - 6 = -5*n, -2*d + 6 = -n for n. -2 Solve -7*z + 13 = -5*z - 5*y, -5*z = -3*y - 4 for z. -1 Solve -7*x = -2*x + r + 6, 0 = -3*x - 5*r - 8 for x. -1 Solve 0*q - 3*i = -3*q - 27, -5*i + 5 = 5*q for q. -4 Solve -3*l = 5*x + 26, -x = -l - 4*x - 14 for l. -2 Solve -2*a = -3*j - a - 9, 3*a = 9 for j. -2 Solve -10*q = -6*q + c - 20, -20 = -q - 4*c for q. 4 Solve 2*m + 5*d = -10, 0*d + 2*d = -4 for m. 0 Solve -5*q - 25 = -8*q - 4*d, -4 = -4*q + 2*d for q. 3 Solve -2*p - u = 3*u + 14, -11 = 5*p - 2*u for p. -3 Solve 8*x = 5*x - 2*r + 14, x + 4*r - 8 = 0 for x. 4 Solve -3*i - 20 = 2*y, 0*y = i + 5*y + 24 for i. -4 Solve 0 = d - 2*z - 6, 0*d = -4*d + 5*z + 15 for d. 0 Solve 13 = d - 2*n, -4*d + 5*n + 53 - 13 = 0 for d. 5 Solve 1 = q + 2*h, q + 5*h = -0 - 5 for q. 5 Solve -2*z - 4 = -5*q, 4*q - 3 + 13 = -5*z for q. 0 Solve -2*h = 3*t - 4 + 25, -3*h + 6 = -3*t for h. -3 Solve -2*t - 3*p = -10, -18*t + 16*t = -4*p + 18 for t. -1 Solve 0 = 2*b - 5*q + 18, -5*b + 2*q = -3*q + 15 for b. 1 Solve -4*b + 5*c = -1 + 38, -3*b = c + 4 for b. -3 Solve -5*q + 8 = -14*c + 15*c, c = -4*q + 7 for q. 1 Solve -4*h = 2*a - 5 - 13, 2*a - 2 = 4*h for a. 5 Solve -4*b = -5*d - 20, d = -4*d for b. 5 Solve -r = u + 1, 4*r + 2 = -2*u - 0*u for u. -1 Solve -b = -4*c - 11, -4 = 3*c + 3*b - 7 for c. -2 Solve -m = -8*x + 4*x - 6, 3*m - 5*x - 11 = 0 for m. 2 Solve a - 2*h = -h - 6, 0 = 5*a - 3*h + 24 for a. -3 Solve 3*l - 7*c + 2*c = -4, -5*l + 12 = c for l. 2 Solve 5*c = -5*x + 8*x + 5, -3*c + 2*x + 4 = 0 for c. -2 Solve -59*x = -4*o - 57*x + 8, -16 = 5*o + 4*x for o. 0 Solve -3*q = -2*p - 13, -4 + 1 = p + 2*q for p. -5 Solve 0 = 2*d + v + 13, 4*d + 29 = 3*v + 18 for d. -5 Solve w + 2*v + 9 = 0, 4*w - 4*v + 18 = 6 for w. -5 Solve 4*y = 2*h - 2, -4*y = -4*h + 5*h - 13 for y. 2 Solve -11*p - 8 = -4*z - 9*p, -z + 5*p - 16 = 0 for z. 4 Solve -5*l = -4*g + 16, l - 24 = 2*g - 26 for g. -1 Solve 10 = 5*s, -5*j + 20*s - 19*s = -8 for j. 2 Solve y + 3 = 3*s, 3*y - 12 = -3*s + 3 for s. 2 Solve t + 75 = 74, 0 = -4*n + 5*t + 9 for n. 1 Solve -14 = -3*a - 5*l - 1, l - 4 = -2*a for a. 1 Solve -3*i - 6*h + 7*h = -14, -35 = -5*i + 4*h for i. 3 Solve 0 = -x + 6*q - 2*q - 6, -3*x - 7 = -q for x. -2 Solve -2*g - 5*z - 28 = 0, 2*z + 12 + 12 = -4*g for g. -4 Solve -s - 2*w + 7 = 1, -2*s = -3*w + 9 for s. 0 Solve 2*l - 5*a = 5 + 1, 2*a = 4*l + 4 for l. -2 Solve -20*o - y = -18*o + 3, -4*y = 20 for o. 1 Solve 3*m = b - 12, -m - 4 = -8*b + 7*b for m. -4 Solve 7*q - 2 = 10*q - v, -16 = 4*v for q. -2 Solve -3*g = 0, 4*g = -s + 5*g for s. 0 Solve 5*m - 3*s - 22 = 0, -9*m + s + 10 = -6*m for m. 2 Solve -c + 10 = -4*r, -c = 2*r + 110 - 108 for r. -2 Solve -o + 32*a - 36*a = 18, -5*a - 30 = 5*o for o. -2 Solve -4*a + t = -6, 2*t = -3*a + 10 + 11 for a. 3 Solve -5*l + 0*l - 18 = -2*t, 2*l + 8 = 0 for t. -1 Solve 0 = -2*i - 12*z + 14*z + 8, 5*z + 30 = -5*i for i. -1 Solve 5*q + 5 = 0, 5*z - 2*q - 2*q - 4 = 0 for z. 0 Solve -3*m = 2*z + m + 10, 3*m + 6 = -3*z for z. 1 Solve -2*b - 3*a + 7 = -0*a, -11 = -2*b + a for b. 5 Solve -2*b + 27 = 3*x + 3*b, -4*x + 7 = -3*b for x. 4 Solve -3*s + 5*c + 15 = 0, 7*s + 12 = 18*c - 22*c for s. 0 Solve -21 = -3*q + 5*w - 2*w, 2*q = -5*w for q. 5 Solve o = -2*g - 13, -4*g + 5*o - o - 8 = 0 for g. -5 Solve 5*f = -2*x - 4 + 28, -x - 2*f = -10 for x. 2 Solve 0 = -16*r + 13*r - 6, 4*p - 12 = 2*r for p. 2 Solve -5 = -5*n + 2*a - 3, 0 = -4*n - 5*a - 5 for n. 0 Solve -5*p - 41 = 4*i - 14, 0 = 3*p - 4*i - 3 for p. -3 Solve 5*v + 2*u = -15, 2*v + 7*u = 2*u - 27 for v. -1 Solve 5*c = 4*q + 11, -43*q - 2*c = -48*q - 18 for q. -4 Solve 2*b - 6 = 2*a, -4*a + 2*a - 3 = b for a. -2 Solve 2*y - 5*i + 14 = 0, 5*i - 2 = -y + 6 for y. -2 Solve 26*q + 4*l = 21*q + 22, 2*q + 2 = 2*l for q. 2 Solve -4*k + 5*p = 12, -3*p - 12 = 4*k - 0*p for k. -3 Solve 2*i = 3*g + 3, g - 13 = -3*i - 3*g for i. 3 Solve -2 = -2*b, 4*a - 3 = 3*a + 2*b for a. 5 Solve -15 = -4*i + b, 40*b = -i + 45*b - 20 for i. 5 Solve 0 = n + 2*d - 3 - 3, -3*n + d = 3 for n. 0 Solve 2*n - 4*s + 0*s = -18, -4*n + s = 15 for n. -3 Solve -4*s - 26 = 2*q, -5*s - 168*q + 171*q - 38 = 0 for s. -7 Solve 0 = -3*o + 15, 0 = 2*t + 5*o - 24 - 5 for t. 2 Solve -2*g = 3*p + 12, 2*p + g - 2 = -9 for p. -2 Solve 3*s - 4*s - 5 = 0, -4*s - 20 = -3*n for n. 0 Solve w = -2*p - 1, p = -5*w - 30 + 7 for w. -5 Solve 0 = 5*k + 3*t + 22, -3*t + 14 = k - 7*t for k. -2 Solve x + 4*a = 13, -2*x - 2*a + 2 = -0*a for x. -3 Solve -2*j + 17 = -3*j - 3*k, 4*j = 5*k for j. -5 Solve 5*c + 2*n + 10 = 4*c, -4*n - 24 = 3*c for c. -4 Solve -3*y + 3*q = 0, 0 = y - 3*y + 5*q - 6 for y. 2 Solve 5*u + b = 18, 9*b + 24 = 3*u + 14*b for u. 3 Solve 5*l = 5*h - 2*h - 4, -5*h = -5*l - 10 for h. 3 Solve -5*a = 4*h + 8, 7*h = 3*h - 3*a for h. 3 Solve -5*s - 2*x = -17, -4*s + x + 9 + 2 = 0 for s. 3 Solve -2*l - l + 8 = 4*k, -k + 2 = l for k. 2 Solve 2*m + 6 = 2*i, i - 10 = 2*m - 3*i for m. -1 Solve 5*p + 2*j + 1 - 2 = 0, 3*p = 3*j - 12 for p. -1 Solve -4*i + 5*u - 40 = 0, -u + 160 = -2*i + 146 for i. -5 Solve -5*u + 2*z = -4, 3*u - 2*z = 6*u + 4 for u. 0 Solve 2*w - 3*i - 2 = 0, w + 4*i + 2 = 3*w for w. 1 Solve 7 = -3*z - 3*r - 2, -3*z - 5 = -r for z. -2 Solve 60*t - 61*t - 5*i = -10, 0 = 4*t - 3*i + 29 for t. -5 Solve 0 = -y - 3*s - 9, -5*s - 15 = -10*y + 5*y for y. 0 Solve 5*i - 17 = -3*u + 11, u - 4*i = -19 for u. 1 Solve 0*z = -3*z + x - 22, 2*z = -3*x for z. -6 Solve 52*x + 10 = -h + 55*x, 4*h = -4*x + 40 for h. 5 Solve -5 = -5*t, -n - 10 = 2*n + 5*t for n. -5 Solve -2*c - 2*z + 4*z + 2 = 0, 0 = -4*c + 5*z + 8 for c. -3 Solve -5*z + 5*d + 15 = 4*d, 3*z - d - 11 = 0 for z. 2 Solve 3*x = -4*p - 19, 8 = 4*x - p - 11 for x. 3 Solve -4*x - 3*o = 19, -5*x + 4*o - 18 = -2 for x. -4 Solve 4*q + 73 - 78 = -3*m, 0 = q - 4*m - 6 for q. 2 Solve 0 = r + 5*n - n + 2, -5*r + 8 = 2*n for r. 2 Solve -3*a = 2*k + 6, -4*k + k = 0 for a. -2 Solve 4 = 2*w + 4*g, 2*g - 7 + 5 = 2*w for w. 0 Solve 0*j = 3*j + 2*c + 15, 2*c - 25 = 5*j for j. -5 Solve -5*t = -r + 15, -5*r + 1 = 3*t - 18 for r. 5 Solve -2*x + 1 = 3*j + 6, 5*x - 2*j + 22 = 0 for x. -4 Solve u = 2, -2*u + 0 - 2 = -2*p for p. 3 Solve 4*g = -4*f + 20, 3 = -3*g + 4*g for f. 2 Solve -4 = -4*s - 2*j, -3*j = s + 3 + 1 for s. 2 Solve -4*f - 30 = -k, 178*k = f + 174*k + 15 for f. -7 Solve 0 = -9*z + 6*z - 3*r + 3, 0 = -4*z - 5*r + 2 for z. 3 Solve -w - 4*c + 24 - 7 = 0, -8 = -2*c for w. 1 Solve -4*n = -20, -3*o + 4*n = 2*o for o. 4 Solve 4*k + 45*v + 3 = 42*v, -3*k - 3 = 3*v for k. 0 Solve 9 = 4*l - 29*w + 34*w, 0 = -2*l
{ "pile_set_name": "DM Mathematics" }
/9, k, a? 2/9 Let w = -287 + 286.9787. Let i = w + -2.9787. Which is the nearest to -0.15? (a) -2 (b) -1 (c) 0.2 (d) i c Let l = -32068/3 - -10689. What is the nearest to l in 4/7, -1, 3, -2/7? -2/7 Let b be (8/3)/((-56)/(-84)). Let h be (-1)/(b*2/(-24)). Let m = 0.06 + 0.24. What is the nearest to 3 in 1, m, h? h Let h = -1.9 + 1.62. Let w = 0.15 + h. Let t = w - 0.07. What is the nearest to t in -3, 4, -1? -1 Let l(q) = q**3 - 55*q**2 + 55*q - 56. Let g be l(54). Let h be 3 + (8/3)/(15/(-45)). Which is the closest to g? (a) -2/7 (b) 0.6 (c) h a Let g be 10/(-8)*3/(-15). Let s = 49059 - 49062. Which is the closest to g? (a) 56 (b) s (c) -0.3 c Let w = 0.2423 + 0.1577. Which is the closest to -11? (a) w (b) -0.3 (c) -1.2 c Let j = 1986 + -1985.9. Let f = -6.2 - -5. Let z = 4.2 + f. Which is the closest to -2/7? (a) z (b) j (c) -1/2 c Let u = -34/11 - -249/77. Let v = 0.44 - 0.54. Let w = 0 + 0.3. What is the nearest to w in -0.5, u, v? u Let u be (105/7)/(4*-2) + 9/6. Suppose 0 = -z + 1, 11 = -0*k + 2*k - 5*z. Let i be ((-6)/k)/((-45)/24). Which is the closest to 3? (a) -1 (b) i (c) u b Let w be (20/(-14) + -42*(-33)/3234)*2. Let p = -3.05 + 0.05. Which is the nearest to -0.1? (a) w (b) p (c) -14 a Let g = 210.032 + -211. Let t = -0.032 + g. Let j = 2/669 - 1352/4683. What is the closest to 3 in 5, j, t? 5 Let d = 19.75 + -17.75. What is the nearest to -2 in -4, d, -0.2, -2/5? -2/5 Let m = -0.1 - -0.6. Let j(i) = -2*i + 109. Let g be j(28). Suppose -g*s - 21 = -50*s. Which is the nearest to s? (a) 0.3 (b) m (c) 4 a Let y = 3.8 - 3.92. Let r = 1.88 - y. Let g = 147 - 301/2. Which is the closest to -0.1? (a) g (b) r (c) -4/7 c Let y = -0.3622 + 1.3622. What is the closest to 2 in y, -3, 0.009? y Let q(w) = 4*w**2 + 20*w + 16. Let v be (-26)/(-169) + -54*(-1)/(-13). Let d be q(v). Which is the nearest to d? (a) -1/4 (b) -1 (c) -0.26 a Let b = -4.29 - -4.79. Let l = -20.05 + 20. Let d = l - -0.45. What is the closest to -26 in b, d, -2? -2 Let k = -7.9 + 8.3. Let w = 472 - 471.6. What is the closest to k in 4/3, w, -0.5? w Suppose -3*k - 4*o - 31 = 0, 3*k - k = 2*o - 2. Let a be 4/144*(-3 - (-396)/(-8)). Let p = -9/8 - a. What is the nearest to p in k, -1/3, -2? -1/3 Let v = 14048 - 14050. Which is the nearest to 0? (a) v (b) 1 (c) 0.5 (d) -2.8 c Let l = 708 - 708.1. Let r be 1 + ((-112)/(-12))/(-7). Let o = 0.2 - 0.22. What is the nearest to l in r, -0.2, o? o Let u = 8.03513 + -0.03513. Let l = 0.16 - 0.06. Which is the nearest to u? (a) 1/2 (b) l (c) 0.3 (d) 0 a Let x be ((-5)/(-2))/((-152)/(-16) + -8 - 2). Let u = -15.6 - -15. What is the nearest to 0.2 in u, x, -1? u Suppose -t + 3*o = 5141 - 5168, -1 = -3*t + o. Let w = 0.2 + -0.2. Which is the closest to -2/3? (a) t (b) w (c) -5 (d) 0.2 b Let y = -151/8 - -77/4. Which is the nearest to 4? (a) -5 (b) 1/7 (c) -1 (d) y d Let k = 618.2 - 618. Let v = 0.016 - 2.316. Let l = v - -1.3. Which is the nearest to l? (a) k (b) 0.1 (c) 5 b Let a = 0.9 - 1.8. Let q = 1.63 + -2.134. Let m = 0.004 + q. What is the closest to -1/3 in a, -1, m? m Let o = -468.2 + 468. Let s = -502 + 504. What is the closest to 3/10 in s, -1, -3, o? o Let h = 5763 - 5779. Which is the nearest to -1? (a) 7.5 (b) 2/15 (c) h b Let f = 0.852 - 1.052. Which is the nearest to f? (a) -5.3 (b) 0.1 (c) 4 (d) -1/5 d Let g be (-30)/125*80/24. Which is the closest to g? (a) -3 (b) 5 (c) -0.5 (d) -21 c Let i be (-5)/(-10) + (-7)/2. Let v be (i/(-1))/(-3)*-1. Let u = -810 + 815. What is the nearest to v in -7/4, -3/5, u? -3/5 Suppose -5*s - 16 = 4. Let l(v) = 3*v**2 - v - 50. Let j be l(-4). Which is the closest to -2? (a) j (b) -1 (c) s b Let w = 76/935 - -2/55. Let i(l) = -14*l + 6. Let q be i(-3). Suppose -8 - q = -7*a. What is the nearest to a in 2/9, w, -5? 2/9 Let k = -3 + 3.05. Let n be -12*7/35*3/(-12). What is the closest to k in n, 3/2, -4/7? n Let v = 0 - 0.5. Let u = 7492 + -7491.5. Which is the closest to 1/5? (a) -3/8 (b) v (c) u c Suppose -5*k = -2*p - 0 + 13, 3 = -3*k. Let g = -8797/5 - -1759. What is the closest to g in -2/3, p, 0? -2/3 Let r = 3 + -6. Let w = -11.8 - -3.3. Let c = -8.6 - w. What is the closest to c in 0, 0.1, r? 0 Let z(y) = -12*y**2 - 10 - 2*y - y**3 + 15*y + 9. Let v be z(-13). Let d = 3.95 - -0.05. What is the closest to -1/5 in 1/3, d, v? 1/3 Let h = 39.07 - 0.07. Let t = 51 - h. Let n = t - 14. Which is the closest to n? (a) 2 (b) -2 (c) -0.3 b Let s = -1.1 - -3.1. Let n = 1.07 - 0.07. Let y = n - s. What is the nearest to -0.2 in -1/2, 0.2, y? -1/2 Let c = -1849.93 - -1850. What is the nearest to 14 in c, -0.2, 1/9? 1/9 Let s(p) = -13*p - 880. Let x be s(-68). Which is the nearest to -5? (a) -3/2 (b) x (c) -4/5 a Let g = 8257 + -8266. Which is the nearest to -2/9? (a) g (b) -1 (c) 24 b Suppose 35*m - 15*m + 68 = -52. What is the nearest to 1 in 2/9, -39, m? 2/9 Let z = 590.1 + -589.9. What is the nearest to z in 3, 0.1, -59, 1/3? 0.1 Let m(p) = -p**3 + 4*p**2 - 568*p + 1707. Let b be m(3). What is the nearest to 0 in 5, 21, b, -0.2? -0.2 Let j = -9726727/297 - -32750. Let x = 7/27 - j. Let z = 23503/4 + -5876. What is the nearest to -4 in x, z, -1/12? z Let t = -1607.2 - -1607. Let r = 18.6 - 19. What is the closest to 2 in 4/7, r, 4/5, t? 4/5 Let o = 365 - 368.98. Let g = o + -0.02. Let x be 0 + 2/21*45/(-10). What is the nearest to 0.1 in x, -2/15, g? -2/15 Let h = -15 - -59. Let z be -9*2*(-10)/(-70)*63/(-567). What is the closest to h in -3/5, z, -1? z Let d = -776/7 + 779/7. Which is the nearest to 17? (a) 4/3 (b) -5 (c) d a Let l(u) = u + 3. Let p be l(17). Let t = -12 + p. Suppose 0 = 5*m + 2*k - 7, t = 3*m + 2*k + 3*k. What is the nearest to 0 in -0.1, -11, m? -0.1 Let q = -13549 - -13537. Which is the closest to -1.3? (a) -1 (b) -0.1 (c) q (d) 0 a Let q = -0.2 - 0.8. Let m(g) = g**2 - 14*g - 75. Let u be m(18). Let n be 462/(-297)*u/7. Which is the nearest to q? (a) -4 (b) n (c) 3 b Suppose 368 = 8*s + 104. Let j be 1 - 0 - 254/(-8). Let g = j - s. What is the closest to 0.1 in 1/3, g, 1/2? 1/3 Suppose 4*i - 18 = -2*t + 4*t, -2*t - 8 = i. Let y = -19 + 43. Let z be (-1*y/54)/2. What is the closest to i in 2/3, -4, z? 2/3 Let m be (-2 - (-5 - -13)) + (-26 + 18)*(-36)/32. Let s = -2.2 - -2.37. Let u = s - 0.08. Which is the closest to -1? (a) -4 (b) u (c) m c Suppose 2*i + m = 3*i, 0 = -4*m - 16. What is the closest to 3 in i, 1.2, 0.03? 1.2 Let b be 6*(-155)/(-60) + -14. What is the closest to -4.8 in -6, -1/3, b? -6 Let o(y) = y**2 + 7*y + 6. Let s = 2 + -8. Let r be o(s). Let i be 2/8 + 67/4 + -16. Which is the nearest to r? (a) 2/17 (b) -4 (c) i a Let d = 1598/19 + -5461/76. Let i = 0 - 0. What is the closest to i in 1, d, 1/6? 1/6 Let w(m) = 114*m - 2736. Let o be w(24). Which is the closest to o? (a) -0.02 (b) -11 (c) -4 (d) -3 a Let x = -2565.972 - -2566. Which is the closest to x? (a) -1/2 (b) 2 (c) -1/7 c Let r = -6247 + 6251. Let t = -61/2 + 31. Which is the closest to 0.1? (a) r (b) t (c) -4 b Let d(k) = k**3 - k + 4. Let x be d(0). Suppose 4 = 3*i + n - 11, -4*n + 28 = x*i. Let s = 31.4 + -32.4. What is the nearest to 0 in s, i, -3? s Let m = -34 - -273/8. Suppose -4*y + 2*a + 34 = 0, 4*a + 409 = -3*y + 440. What is the nearest to -0.1 in 2/9, m, y? m Let o = -3.1277 - -2.9277. Let n = -0.01 + 4.01. What is the nearest to n in 0.1, o, 0.3? 0.3 Let c = 1863 + -1861. What is the nearest to c in -0.1, 3/2, 382? 3/2 Let z be 0/1 + (-2 - (-384)/176). What is the closest to z in -1/3, 29, -0.5? -1/3 Let u = -698 - -2104/3. Which is the closest to -22? (a) 5 (b) -5 (c) u (d) 0 b Let h = -250.9 + 269.9. Let d = -97 - -98. Which is the nearest to h? (a) 0.2 (b) d (c) -0.2 b Let i be 92/69*(-7)/14. What is the nearest to -0.1 in i, 2/11, -2, -2/9? -2/9 Let x be 2*((-12)/(-2) + 4). Let n be 1/((-5)/(x/8)). Let g = -0.219 + 0.519. What is the closest to n in -7, -1/2, g? -1/2 Let l(z) = z - 5. Let m be 8/10 - (-15)/(600/208). Let q be l(m). Which is the closest to 1? (a) -0.6 (b) q (c) -3 b Let u = -264 + 260. Which is the closest to -1? (a) -0.09 (b) -1/11 (c) -3/2 (d) u c Let p be (6/20)/((-3)/(-8)). Let m = 269.616 + -269.616. What is the nearest to m in p, 4/19, -3? 4/1
{ "pile_set_name": "DM Mathematics" }
u + 3 + 4 = 0, -f = u + i for f. -4 Let p(k) = k + 3. Let n be p(0). Suppose -2*s - z - 1 = 0, -5*s = n*z - 8*z - 35. Solve -2*x = 4*v + s, 3*v + 20 - 1 = -5*x for x. -5 Suppose 3*n = 5*o - 2, 2*o + 6 = 3*n - 4. Solve 2*z - t - 4*t + n = 0, -2*t + 12 = 4*z for z. 2 Suppose -3*n + 5*n = 4. Let i = 4 + -3. Let r(a) = 2*a. Let z be r(i). Solve f = n*c + z, 5*c - 4*c - 6 = -3*f for f. 2 Let n(o) = o**3 - 7*o**2 - o + 11. Let c be n(7). Solve 0 = 4*j + 3*q + 13, 5*q + 3 = c*j + 24 for j. -4 Let h = 24 - 24. Suppose -2*b - 2*q = -24, 3*b - 28 + h = -5*q. Solve -2*y = 4*p - b, 5*y - p + 25 = 2*p for y. -2 Suppose -4*k + 2*k + 3*j + 16 = 0, 5*k + 3*j = 19. Solve -4*r + 4 = 0, 0 = k*y - 2*r - 3*r - 20 for y. 5 Suppose 2*b = -2*j + 26, 0*b + 4*b - 5*j = 88. Let g = b + -12. Suppose 0 = g*n - 3*h - h - 4, 4*n - h = 12. Solve -4 = 2*p, 3*p + 15 - n = a for a. 5 Suppose -c + 4*c = 3. Let r = -1 + c. Let x = 2 + r. Solve 5*f + 2*b = 11, -4*f = -x*f - 5*b - 16 for f. 3 Let w be (-176)/(-56) - 2/14. Solve -u - w*h = -2*u - 13, 3*h - 5 = 5*u for u. 2 Suppose 12 = u + 3*v, 5*u - 3*v + 14 - 2 = 0. Solve o = -5*w + 2, 3*w = o - u*w - 2 for o. 2 Let g = 27 + -23. Let n be (-20 - 0)*g/(-16). Solve -5*b + 2*v = -18, -7*v + 2 = -n*v for b. 4 Let y(v) = -3*v - 4. Let l be y(-4). Solve b - 10 = 4*c, -5*c - l = -c for b. 2 Let s(n) = -n**2 - n - 1. Let t be s(-1). Let k = 3 + t. Suppose 3*m = 4*i - 5, m = -2*i - k*m + 25. Solve v = -i*j - 12, 4*j + 3 = -v + 2*j for v. 3 Let a = 31 - 29. Solve 3*g + y - a = -0, -4*g - 4*y = 8 for g. 2 Let f be 1/(-4) - (-4)/16. Let p be 1 - (-1 + -1 - f). Solve l + 4*j = j - 12, p*l - 2*j = -3 for l. -3 Let t(h) = -3*h - 2. Let m = -5 + 3. Let u be t(m). Solve 0 = 5*d + 2*s, 3*d - s = -u*s for d. 0 Let q be (-1309)/(-99) - 4/18. Solve -3*u + 2*u - q = -5*n, 2*u - 16 = -4*n for n. 3 Let z = 17 - 9. Let o = z + -7. Solve m + m + o = s, m = -3*s - 11 for s. -3 Suppose 16 + 9 = 5*s. Solve 4*y + 15 = 3*u, -2*u + 10 = s*y - 0 for y. 0 Suppose 0*b = 2*b. Let a = b - -3. Solve l - 1 = a*i - 16, -5*i = -5*l - 35 for i. 4 Let z be 8/(-28) - 10/14. Let b be (z - (-16)/6)*3. Suppose b*m - 32 = 18. Solve 3*r + m + 10 = -5*i, -20 = 5*i - r for i. -4 Let z(q) = q**3 - q**2 - q - 2. Let n = -20 - -13. Let f = n - -9. Let h be z(f). Solve 3*s + 12 = -h*v + v, 4*s + 17 = v for v. -3 Suppose 3*l = -3*v - 6, -v - 2*v = 12. Solve 21 = -t - 5*z, l*t + 7 = -z + 1 for t. -1 Let h = -8 - -10. Suppose -4*z + 0*k + 5*k = -22, h = -k. Solve -3*m + 8 = 4*o, z*o - 4*o = 1 for m. 4 Let m be (-26)/(-7) - 2/(-7). Suppose 0 = 4*s - 0*s - 20. Suppose -s*v + 11 = -4. Solve 4*a + x + 0*x = -11, m*a + 1 = -v*x for a. -4 Let q be 3/9 + (-112)/(-24). Solve -o + 6 = o, -4*u = q*o - 11 for u. -1 Suppose 5 = 4*v + v. Let c = -1 + v. Solve c = 5*f - d + 3*d - 12, 4*d - 12 = -4*f for f. 2 Let b(q) = 4*q**3 - q**2 + q - 1. Let j = -7 - -5. Let k = j + 3. Let y be b(k). Solve 4*p - 3*u - 17 = 0, 4*u - y = -3*p + 3*u for p. 2 Let r be 0*(-2 + 1)/2. Solve g - 3 = r, 0*w = w - 4*g + 17 for w. -5 Let s be (0 - -1)*(2 + -8). Let b(q) = 10*q**2 - 9*q**2 - 2*q + 3 + 8*q. Let h be b(s). Solve -5*d = -4*d + 3*k + 8, 3*k = -h*d - 6 for d. 1 Let q(l) = l**3 + l**2 - 2. Let y be q(2). Let k be 2/9 + 301/63. Let r = k + 0. Solve j - r*w + y = -4*j, 0 = w - 5 for j. 3 Let c(q) = 3*q + 12. Let x be c(-4). Solve 3*p = 4*o + 13, x*o = o - 5*p - 1 for o. -4 Let u(t) = -t**3 + 5*t**2 + 6*t + 5. Let h be u(6). Solve 0 = 4*a + h*x - 4, 3*x + x = -3*a + 4 for a. -4 Let y(b) be the third derivative of -b**6/120 - b**5/15 + b**4/6 - 8*b**2. Let z be y(-5). Solve 0 = z*r - 10*r + 3*l - 5, -5 = 5*r + 4*l for r. -1 Suppose -8*l + 5*l = 0. Solve l = 3*s - 3*j - 3, 0*j + 1 = s - 4*j for s. 1 Let u(c) = -c**2 + 6*c + 7. Let d be u(6). Solve 2*h - 11 = -0*h - 3*f, 5*h = 4*f - d for h. 1 Let c be -4 + 0 + 4 - -25. Solve -5*u + 0*u - 2*w = c, -2*u + 5*w = 10 for u. -5 Suppose 5*i = m + 6, 5*m - i + 2*i - 100 = 0. Suppose -5*y - 1 - m = 0. Let c = -2 - y. Solve 3*a = -q - c*a - 6, 3*q - 10 = -a for q. 4 Let k be (26/10)/((-2)/(-10)). Solve 0 = -r + 4*b - k, -7*r + 4*r - 25 = -5*b for r. -5 Let o = -9 + 23. Solve c - 4*d - o = -7*d, -c = -2*d + 11 for c. -1 Let l(n) = 3*n**2. Let b be l(1). Suppose 3*o = 2*o - b. Let u = o + 6. Solve -3*v = a - 1, u*a - 3*v + 1 = 4 for a. 1 Suppose -4*f + 5 + 3 = 0. Solve 2 - 3 = f*u + 5*j, 4*u = -j - 11 for u. -3 Let h be (-1 - -3)*(-1 - -2). Suppose 6 = h*x + x. Suppose -x*c + f + 41 = 0, -f + 5*f + 3 = c. Solve -2 = 2*v + 2*d, v - 5*d = -0*v + c for v. 3 Let j = 13 - 13. Solve 0 = 3*l + 3*h + 27, -5*l - 4*h - 1 - 40 = j for l. -5 Let l = -3 + 5. Let g be 2 - (l - (3 - -1)). Solve 2*f - g + 0 = 2*p, 11 = -4*p + 5*f for p. 1 Suppose 0 = -8*k + 5*k. Solve 5*c + y + 29 = k, 0*y - 3 = -c + 2*y for c. -5 Let p be ((-2)/(-6))/(2/18). Suppose 0 = -4*i + o + 9, 2*o = 4*i - p - 3. Let u = -1 + 3. Solve 2*n - 2*a - 4 = 0, a + 8 = -i*n + u*n for n. -3 Suppose -29*u + 18*u + 55 = 0. Suppose -2*v + 11 = 5*f - 9, -5*v + 4 = f. Solve -r + 24 = -u*y - 2*r, 0 = -5*y + f*r - 29 for y. -5 Let n(i) = i**3 + 4*i**2 + 2*i. Let p be n(-3). Solve h + 2*b = -4, -6 = -2*h + p*b + 7 for h. 2 Let g(f) = 2*f + 5 - 5 + f - f**2. Let b be g(3). Solve o - 2*o - 5 = b, -w - o = 3 for w. 2 Let s(r) = 2*r - 12. Let g be s(10). Suppose -k - k = -g. Solve 0 = d + a + k - 1, -2*d = -4*a - 18 for d. 1 Suppose -5*d - 45 = -5*b, 5*b + 2*d = 1 + 9. Let s = -27 - -33. Solve 0 = -2*q - 3*m - s, b*q + 17 - 5 = -m for q. -3 Let x(o) = -o**3 - 12*o**2 + o + 14. Suppose g = -g - 24. Let m be x(g). Solve 0 = -2*s + s + q + 1, 0 = -m*s + 4*q - 2 for s. 3 Suppose 3*a + 5 = 17. Suppose -a*u - 3*y + 15 = 0, -y + 6 + 1 = 2*u. Solve 0 = -2*b, 2*i - b + 5 = -u for i. -4 Suppose -9*l = -3*l. Solve l = g - 5*t + 9, g + t = 3*g for g. 1 Let h = -8 + 20. Suppose -4*s + h = -s. Solve -g - 5 = -z, z - s*z = 4*g - 8 for z. 4 Suppose 5*n - 40 = -5*p - 15, -p = 5*n - 13. Solve u + u - p*m - 5 = 0, 2*m + 35 = -5*u for u. -5 Let k(t) = -3*t - 8. Let v be k(-6). Suppose 8*s + v = 3*s. Let j = s - -7. Solve -2*b + 5*d = 24, -4*b = -j*b + 5*d - 22 for b. -2 Let a = 50 + -46. Solve 0 = -t + m + a*m - 10, -m + 11 = -2*t for t. -5 Let k(w) = -w**3 - 19*w**2 - w - 17. Let l be k(-19). Solve 0*r + 4*r = 4*m + 28, 3*m = -l*r - 1 for r. 4 Suppose -40 = -5*u - 20. Solve 4*d + 2 = -2*m, m - 7 = u*d - 2*d for d. -2 Let j = 7 + -5. Suppose s - 5 - 2 = -j*v, v + 9 = 2*s. Solve -x = 2*m - 3*x + 4, -s*x - 6 = 3*m for m. -2 Let v = -24 - -39. Let z be 4/30 - (-43)/v. Solve 3*g - 15 = -2*g - 2*k, g - z = -3*k for g. 3 Let m(o) = o**3 - 7*o**2 + 2*o - 10. Let r be 3/4 + (-175)/(-28). Let p be m(r). Solve -p*g - 5*f = 4, f - 1 + 5 = -4*g for g. -1 Let p = 2 - -1. Suppose -w - 5 = 0, -5*m - p*w + 1 + 9 = 0. Solve -5*v + m*l = -15, v - 3*l - 9 + 0 = 0 for v. 0 Let m(k) = k - 19. Let o be m(13). Let d be 3*(1 - 2)*o. Solve 4*g + 1 = 3*j, -4*j - d = 2 for g. -4 Let r(d) = d**3 - 10*d**2 + 10*d - 9. Let a be r(9). Let h(f) = 3*f**2 - 4*f + 1 + f**2 - 5*f**2. Let c be h(-2). Solve -v + c*b = -18, a*v + b = 3*v + 2 for v. -2 Let w(y) = -y**3 - 4*y**2 + 4*y. Let s be w(-5). Suppose -s*d = -3*t + 7, 5*t - 5*d - 5 = 10. Solve -t*j + 4*b + 8 = 0, -2*b + 4 = 5*j - 13 for j. 3 Let h(y) = -y**2 - 5*y. Let n be h(-3). Let g(j) = 3*j + 5. Let o be g(6). Let q = o - 3. Solve -5*w = 2*s - q, 3*w + 12 = -s + n*w for s. 0 Suppose -5*p = -35 + 125. Let f be (492/p)/((-4)/6). Solve 3*n = -n + 5*s - f, n - 16 = -4*s for n. -4 Let q be (-6)/(-2)*24/9. Let z(o) = o**2 - 8*o + 3. Let g be z(q). Let j be g/6*(-1 - -15). Solve 4*p - j = r, 3*p - r - 2*r - 3 = 0 for p. 2 Let i(s) = -s**3 - 12*s**2 - 13*s - 4. Let w be i(-11). Suppose -w = -d - 0*d. Solve -3*c = c + k - d, -k - 17 = -3*c for c. 5 Let k(v) = -v**3 + 6*v**2 + 8*v - 2. Let g = -9 - -13. Let b be (2/g)/(6/84). Let n be k(b). Solve -3*s + 3*j - 6 - 9 = 0, n*j - 17 = s for s. -2 Let z be (-3)/(-30)*5*28. Solve 2*c + 5*a + 1 = -z, -3*c - 12 = -3*a for c. -5 Let l = -18 - -20. Suppose l*q = 3*q - 6. Solve -3*t = w - q, w - 2*t = -3*t for w. -3 Suppose -4*g + 14 = -2. Solve 13 = g*x - 4*b + 1, 2*x + 5*b - 13 = 0 for x. 4 Let a be ((-64)/(-48))/((-1)/(-3)). Solve 0 = -5*g - 2*k - 18, 0 = -a*g - 3*k - 20 for g. -2 Let z(r) = -r**2 - r +
{ "pile_set_name": "DM Mathematics" }
pose 19*f + 72831 = -5*b + 15*f, 2*f + 8 = 0. Round b to the nearest one thousand. -15000 Let a(r) = -4509*r + 2 - 3087*r + 1760*r - 3. Let l be a(-3). Let m = -3393 - l. What is m rounded to the nearest 1000? -21000 Let c = -3256944015 + 3256943942.999999575. Let y = c - -72. Round y to 7 decimal places. -0.0000004 Suppose -3*x = x - 28. Suppose -x*s = -s + 7999260. Let w = 996790 - s. What is w rounded to the nearest one hundred thousand? 2300000 Let x = 5637.88 + -5484. Round x to the nearest integer. 154 Let u = 0.02285 + -0.02271372. Round u to 6 dps. 0.000136 Let z = 0.066212 - 213.083712. Let o = -213 - z. What is o rounded to 3 decimal places? 0.018 Let u(k) = -3*k + 16. Suppose -4*g + 7*b + 9 = 2*b, 21 = g + 5*b. Let t be u(g). Let d be 172800*((-8)/(-6) - t). What is d rounded to the nearest 100000? 600000 Let u = 35133 - 32233.9. Round u to the nearest 10. 2900 Let u = -0.964 - -0.963999732. What is u rounded to 7 dps? -0.0000003 Let r = -553817 + 976225. Suppose -10*w - r = 9*w. Let f = w - 1068. What is f rounded to the nearest ten thousand? -20000 Let i = -2497.4 - -1943. Let g = 554.33583 + i. What is g rounded to two dps? -0.06 Let n(i) = i**3 + i + 2. Let w be n(-1). Suppose -k + 15 = -w*k. Round k to the nearest one hundred. 0 Let z = -114.1089 - -0.1089. Let p = -3703566.36 - -3703680.3600068. Let s = p + z. What is s rounded to 7 decimal places? 0.0000068 Let s = 520.845 - 368.3222. Let z = -0.0228 + s. Round z to the nearest 10. 150 Let w = 2.984 + -3.00238. What is w rounded to 3 dps? -0.018 Let w be ((-751)/2)/(1/(-1494)). Suppose -3*k = 2*v + 561006, -2*k = k - v + w. What is k rounded to the nearest 10000? -190000 Suppose 4*f - 4*d - 8 = 0, -d + 15 = 5*f - 7. Suppose 2*t = -1 - 3, -f*v = -2*t + 19732. Round v to the nearest one thousand. -5000 Let n = -114.1 - -532. Let r = n - 396. What is r rounded to the nearest 10? 20 Suppose 0 = 6*m + m - 211847 + 56790. Round m to the nearest one thousand. 22000 Suppose -5*n + 8*s - 22 = 0, -3*n + 7*s = 11*s - 22. Let u = -9 + 15. Suppose a + n = 0, -4*m + u*m - 2*a - 112004 = 0. What is m rounded to the nearest 10000? 60000 Let n = 5424 + -5424.0008974. Round n to 4 dps. -0.0009 Let w = 67.618 - -0.582. Let x = 1.63 + -106.63. Let f = w + x. Round f to the nearest 10. -40 Let d = -1.725 - -1.3. Let i = d - -0.424095. Round i to 4 decimal places. -0.0009 Suppose 5*h - 465319975 = 4*x, -5*x + 146*h - 581650025 = 151*h. Round x to the nearest one million. -116000000 Let j = 59547371.471 - 59547051.47099851. Let i = 320 - j. What is i rounded to seven decimal places? -0.0000015 Let m(c) = -159*c - 3. Let r be m(-7). Let i be 14*(6/(-6) + 18/12). Suppose i*z - 5260 = r. Round z to the nearest one hundred. 900 Let m = 5065.57 + -5078. What is m rounded to the nearest integer? -12 Let o = -719912 + 323132. What is o rounded to the nearest 1000? -397000 Suppose -46615015 = 2*k - 7*k. Let d = k - 2016583. Let g = 12636420 - d. What is g rounded to the nearest 1000000? 5000000 Let c = 51.398 + -0.398. Let u = c - 51.0000026. What is u rounded to six dps? -0.000003 Let j = 5076.6199 + -5027.62. Let u = j - 49. What is u rounded to five dps? -0.0001 Let v = -194 + 304. Suppose 5*s - 3*s = 5*n + 290, -2*n - v = -2*s. What is n rounded to the nearest one hundred? -100 Let b(a) = 252*a**2 + 10*a + 7. Let x be b(-1). Suppose -2*j - z - 502 = -0*z, -j - z = x. What is j rounded to the nearest 100? -300 Let z = 21506.789415 - 21533.49. Let j = 30.84 + -4.14. Let q = z + j. What is q rounded to five dps? -0.00059 Let h(s) = 4768*s**2 - 59*s - 321. Let c be h(-6). Let q = 376681 - c. What is q rounded to the nearest 10000? 210000 Let z = 0.05621 + -0.0562125284. Round z to 6 decimal places. -0.000003 Let w = 8144 - 8144.000005984. What is w rounded to six dps? -0.000006 Let h = 0.844 - 0.418. Let o = -18.326 + h. Let v = -30 - o. Round v to the nearest integer. -12 Let z = 62263.698841 + -62694.6986. Let b = z - -431. Round b to 5 dps. 0.00024 Suppose 5*c + 47 = -3*d + 197, 2*d = 0. Suppose -2*h - 3*h = -50. Let b be (h + c)/((-2)/(-7200)). What is b rounded to the nearest 10000? 140000 Let s = -0.125 - 156.875. Let x = s - -157.0069. Let o = x + -0.00690231. What is o rounded to 7 dps? -0.0000023 Let f = 0.0095 - 0.0215. Let o = 54850.0119996 + -54850. Let p = o + f. Round p to six decimal places. 0 Let m = 335 + -145. Let q(p) = -6 - 232*p - m*p + 21 + 139*p. Let h be q(5). What is h rounded to the nearest one thousand? -1000 Let p = -66059923.465107013877053 - 1.534877686122947. Let h = p + 66059887. Let q = -38 - h. Round q to six decimal places. -0.000015 Let y = 1.513 + -0.576. Round y to 1 decimal place. 0.9 Let u = -4088.8018 - -4089. Round u to two dps. 0.2 Let w be ((-5)/((-15)/(-12)))/(67/3548990). What is w rounded to the nearest one thousand? -212000 Let q = 814.82 + -21.22. Let j = 760 - q. Round j to the nearest integer. -34 Suppose -33*g = -482 + 152. Suppose 8*l - g*l = -2780. Round l to the nearest 1000. 1000 Let y = 186 + -519. Let z = -494889222 + 494889555.000171. Let x = z + y. What is x rounded to 5 decimal places? 0.00017 Let z = -304.5876 + 303.8. What is z rounded to 1 dp? -0.8 Let d = -66.35 - -63.5963. What is d rounded to 2 dps? -2.75 Let d = 24.905 + -3519.505. Round d to the nearest ten. -3490 Let o = -81328.691 - -81376. What is o rounded to zero dps? 47 Let g = -197.03 - -76.03. Let q = -10570.18 - -10694. Let a = g + q. What is a rounded to one decimal place? 2.8 Let g(l) = 746*l**2 + 16*l + 49. Let z be g(-3). Suppose -8*c + 10*c = -5*m - z, -2*c - 6760 = -4*m. What is c rounded to the nearest one hundred? -3400 Let q = 34.8 - 33.07. Let f = 1.8 - q. Let k = 1.78 + f. What is k rounded to one decimal place? 1.9 Suppose -2*o - 1712190 = -5*o + 5*u, 1141460 = 2*o + u. Suppose -5*l = 1579270 + o. Round l to the nearest one hundred thousand. -400000 Let n(o) be the first derivative of 6999*o**4/2 - 11*o**3/3 - 5*o**2/2 - 154. Let c be (-5)/2*6/3. Let j be n(c). Round j to the nearest 100000. -1800000 Let t = -1109 + 8436. Round t to the nearest 1000. 7000 Let w = -14.808 + -0.292. Let r = 15.100244 + w. Round r to five dps. 0.00024 Let c = -0.049177 - -7508.849177. What is c rounded to the nearest one thousand? 8000 Let q = 338.4599927236 - 338.46. Round q to 6 decimal places. -0.000007 Suppose -2*h - 4*f + 1 = -7*f, -12 = -3*h + f. Suppose h*p = 10*p - 26850. Round p to the nearest one hundred. 5400 Let g = 6.94254 - 0.10554. Round g to 1 dp. 6.8 Let s = 71947774.00578 - 71948350. Let r = s + 576. Round r to 3 decimal places. 0.006 Let s = -221 + 202. Let x = s - -18.98888. Round x to 4 decimal places. -0.0111 Let s = 96.884 + -17.8536. Let l = 107 - 28. Let h = l - s. What is h rounded to 3 dps? -0.03 Let z = -567647 + -860545. Let t = z + 403192. What is t rounded to the nearest one hundred thousand? -1000000 Suppose 422 = 2*w + 360. Suppose -w*q = -28*q - 3000000. Round q to the nearest one hundred thousand. 1000000 Suppose -z + a - 2 + 6 = 0, 5*z = -3*a + 4. Suppose z*t + 1635 = 7*t. Let n = 627 - t. What is n rounded to the nearest one hundred? 300 Let o = -1647.0251 + 0.0251. Let j = -1646.99998669 - o. What is j rounded to six dps? 0.000013 Suppose 3*j = -t - 3*t + 42248, 2*t = j + 21134. Let f be (-2)/(-9) + t/45. What is f rounded to the nearest 10? 240 Suppose 5*h - g = 6 + 21, 3 = g. Suppose -f - 2350 = 5*w, -5*f + 4*w = -h*f - 2348. What is f rounded to the nearest one thousand? -2000 Let q = 530.888752868 + -908.888753475. Let t = 378 + q. What is t rounded to seven dps? -0.0000006 Let c = 14 - 14.62. Let d = c - -1.38. Let n = 1.5 - d. Round n to one dp. 0.7 Let j = -50.9 + 9.9. Let z = 41.94 + j. Let t = 0.9400039 - z. What is t rounded to six dps? 0.000004 Let o = -30186 - -30186.022249. Let i = 22.6226 - 22.6. Let q = o - i. Round q to 5 dps. -0.00035 Let y = 0.3128 + -0.1481. Let h = 1.5467 - y. What is h rounded to 1 dp? 1.4 Let r = 0.4053 + -0.7054. What is r rounded to 2 decimal places? -0.3 Let y = 809.5 + -808.9549. Round y to 2 dps. 0.55 Let q = -5938.97437 - -5939. Round q to three dps. 0.026 Let b = 672 - 1136. Let i = b - -464.1836. Round i to three decimal places. 0.184 Let c = -315897 + 62097. What is c rounded to the nearest 10000?
{ "pile_set_name": "DM Mathematics" }
- i - 564534 + 564525. -5*i**2 - 8*i - 9 Collect the terms in -46*r**3 + 106*r**3 - 307 - 17*r**3 - 44*r**3 - 6*r**2. -r**3 - 6*r**2 - 307 Collect the terms in 0*g + 18217*g**2 + 0*g - 15362*g**2. 2855*g**2 Collect the terms in 24697 + 19*r**2 + 24495 - 49192. 19*r**2 Collect the terms in -4*m + 601788 + 2*m + 7*m - 7*m. -2*m + 601788 Collect the terms in -2018634*w**2 - 5201*w - 136 + 5201*w + 2018635*w**2 + 24. w**2 - 112 Collect the terms in 1112618 - 2225247 + 1112629 - 45*q. -45*q Collect the terms in -22681*t**2 + 68541*t**2 + 50011*t**2. 95871*t**2 Collect the terms in -36219586 - 8*j**2 + 50*j**2 + 36219586. 42*j**2 Collect the terms in 7 - 7 + 40*p + 236599*p**3 - 236594*p**3 + 4*p**2 - 40*p. 5*p**3 + 4*p**2 Collect the terms in 12*t - 53*t + 4 + 7*t + 9*t + 7*t + 12*t. -6*t + 4 Collect the terms in 48142 + 2*p**3 - 48142 + 586*p**2. 2*p**3 + 586*p**2 Collect the terms in 602054*c**3 - 200748*c**3 - 200905*c**3 - 200967*c**3. -566*c**3 Collect the terms in 512419*k**2 + 34*k + 13*k - 512423*k**2. -4*k**2 + 47*k Collect the terms in 95*t**3 + 7*t**2 + 16*t**2 - 37*t**2 + 12*t**2. 95*t**3 - 2*t**2 Collect the terms in 27*k**2 - 32*k**2 - 6*k**2 - 23*k**2 + 101*k**2. 67*k**2 Collect the terms in 2469 - 4941 + 2472 - 242*k**2. -242*k**2 Collect the terms in -2498*d - 4*d**2 + 3211*d - 5906*d - 3295*d + 3*d**2. -d**2 - 8488*d Collect the terms in -3 + 4*j - 4*j**2 + 2 + 5*j**2 - 3*j**2 - 2*j**2. -4*j**2 + 4*j - 1 Collect the terms in 104537812*y - 52268899*y - 52268915*y. -2*y Collect the terms in 27*b**2 - 27*b**2 - 529925*b**3 + 2. -529925*b**3 + 2 Collect the terms in -g**3 + 100063110112*g - 100063110112*g - 40*g**2. -g**3 - 40*g**2 Collect the terms in 4025613 + 4*y**2 + 4025650 - 8051263. 4*y**2 Collect the terms in -279*g**3 + 107*g**3 + 693*g**3 - 275*g**3 - 237*g**3. 9*g**3 Collect the terms in -3318371*w**2 - 40 + 40. -3318371*w**2 Collect the terms in 2*s**2 + 120811 + 120789 + 120808 + 120811 + 120807 - 604026. 2*s**2 Collect the terms in 255*h**3 - 985*h**3 - 20*h**3. -750*h**3 Collect the terms in 3045*g + 401*g - 1970*g. 1476*g Collect the terms in 2*o**3 + 1222875 + 1222960 + 4*o - 2445835 - 4*o. 2*o**3 Collect the terms in -49*h**2 - h + 36*h**2 - 275*h**3 + 9*h**2. -275*h**3 - 4*h**2 - h Collect the terms in -22020*a**2 + 19602*a**2 + 2419*a**2 + 1 - 1. a**2 Collect the terms in 103*u + 21 + 99*u + 5 - 14 - 6*u. 196*u + 12 Collect the terms in -3517*u**2 + 1566*u**2 + 1529*u**2 - 6 + 8. -422*u**2 + 2 Collect the terms in -77476*g**2 + 154031*g**2 + 24868*g**2 + 210800*g**2. 312223*g**2 Collect the terms in -3143*n**3 + 2153*n**3 + 4303*n**3 + 2939*n**3. 6252*n**3 Collect the terms in -82*o + 12*o - 1 - 53*o - 82*o + 1. -205*o Collect the terms in 246*b**2 + 161*b**2 + 279*b**2 + 334*b**2 - 1250*b**2. -230*b**2 Collect the terms in 2646*s + 2619*s + 2628*s - 7900*s. -7*s Collect the terms in -254*a**3 + 243*a**3 - 366*a**3. -377*a**3 Collect the terms in 316*t - 14 - 213*t + 20*t + 345*t + 13. 468*t - 1 Collect the terms in 13 + 394*t**2 + 422*t**2 - 753*t**2 + 7. 63*t**2 + 20 Collect the terms in 7*p**2 + p**3 - 120 + 362 + 337*p**2 - 124 - 118. p**3 + 344*p**2 Collect the terms in 11*p - 20345 + 10176 - 13*p + 10173. -2*p + 4 Collect the terms in 200*o + 53*o + 69*o + 117*o - 768*o. -329*o Collect the terms in -1596*g**2 - 1625*g**2 + 6461*g**2 - 1594*g**2 - 1606*g**2. 40*g**2 Collect the terms in -490581383 + 490581383 - 14*a**2. -14*a**2 Collect the terms in 944388*g - 472157*g - 15 + 6 - 472193*g + 1 + 8. 38*g Collect the terms in -999*i**2 + 2267513 - 2267513. -999*i**2 Collect the terms in -3742240*t - 4 + 2 + 1 - 1. -3742240*t - 2 Collect the terms in -2*c - 2*c + 459 - 235 - 224 - 72*c**2 + 2*c. -72*c**2 - 2*c Collect the terms in -12 + 2006401*j - 10*j**2 - 2006401*j + 12. -10*j**2 Collect the terms in -862*u - 846*u + 3396*u - 846*u - 842*u - u**3. -u**3 Collect the terms in -120404*j - 2*j**3 + 194*j**2 - 194*j**2. -2*j**3 - 120404*j Collect the terms in -4389*a - 22 + 39 - 17. -4389*a Collect the terms in -19 - 15 - 562*k - 16 + 49. -562*k - 1 Collect the terms in 17040254757936274 - 17040254757936273 - i. -i + 1 Collect the terms in -163*q**2 + 7*q - 254*q**2 - 262*q**2 + 682*q**2. 3*q**2 + 7*q Collect the terms in 1993*b + 11438*b + 7894*b + 22298*b. 43623*b Collect the terms in -5653*n + 2350*n - n**2 + 644*n - 3759*n - 4982*n. -n**2 - 11400*n Collect the terms in 4021*r**2 + 3284 + 2128*r**2 + 3267 - 6551. 6149*r**2 Collect the terms in 78*d + 103*d - 496*d - 344*d - 116*d - 23*d. -798*d Collect the terms in 3*b**3 - 3944 - 96 - b**3 - 1362 - 1891. 2*b**3 - 7293 Collect the terms in 5 - 1454991*u + 727577*u - 5 + 727401*u. -13*u Collect the terms in 3*u + 7*u - 17*u + 8*u - u + 22*u**2. 22*u**2 Collect the terms in 53426*d + 30 + 53429*d - 16 - 106848*d. 7*d + 14 Collect the terms in -243*s + 733*s - 250*s - 242*s - 4375*s**3. -4375*s**3 - 2*s Collect the terms in 3360*i - 3397*i + 0 + 3 + 134. -37*i + 137 Collect the terms in -8593*r**3 + 91145*r**2 + 4 + 0*r - 4*r - 91144*r**2 + 3*r - 4. -8593*r**3 + r**2 - r Collect the terms in 39111*b**3 + 1 - 3 + 3521*b**3. 42632*b**3 - 2 Collect the terms in -134*i - 532758 + 532761 - 245*i. -379*i + 3 Collect the terms in 31596365 + 0*w - 7*w - 31596365. -7*w Collect the terms in -71354*s + 71354*s - 38*s**3 + 120*s**3 - 45*s**3 - 39*s**3. -2*s**3 Collect the terms in -36*g - 64*g + 251*g - 82*g + 429 - 384 - 67*g. 2*g + 45 Collect the terms in 3010 - 1825 + 28*p - 1185. 28*p Collect the terms in 16 + 12*i**2 + 21 + 27 - 13*i**2 - 58. -i**2 + 6 Collect the terms in -699*t**2 + 255*t**3 + 347*t**2 + 256*t**3 + 352*t**2 - 769*t**3 + 260*t**3. 2*t**3 Collect the terms in 110 + 5845*k - 52065*k - 37319*k - 110. -83539*k Collect the terms in 8*j**3 - 6*j**2 + 32212 + 6*j**2. 8*j**3 + 32212 Collect the terms in 41 - 90 + 366*i**2 + 219*i**2 + 1895*i**2 + 49. 2480*i**2 Collect the terms in 1 - 653547*w - 977170*w + 18632*w. -1612085*w + 1 Collect the terms in 664*b - 2 + 2953*b - 85*b. 3532*b - 2 Collect the terms in 93960838*f - 187921709*f + 93960853*f. -18*f Collect the terms in -628*n**2 - 243*n**2 + n - 7*n + 6*n. -871*n**2 Collect the terms in -395*u**3 + 677*u**3 + 523*u**3. 805*u**3 Collect the terms in 196722*s + 1 - 3 + 0 + 212059*s. 408781*s - 2 Collect the terms in 18895*f**3 - 6160*f**3 - 6566*f**3 - 6166*f**3 + 9*f**2. 3*f**3 + 9*f**2 Collect the terms in -96788*h - 1 + 96774*h + 1. -14*h Collect the terms in 1661*r**2 - 443*r**2 - 574*r**2 + 1 - 1 - 448*r**2. 196*r**2 Collect the terms in 10201 + 742 - 511 + 2*z + 1198. 2*z + 11630 Collect the terms in 306089*n**2 - 152949*n**2 - 153134*n**2. 6*n**2 Collect the terms in 16*b**3 + 8*b**3 + 24*b**3 + 8*b**3 + 7*b**3 - 60*b**3. 3*b**3 Collect the terms in -1157 - 1127 - 101*s + 3428 - 1153. -101*s - 9 Collect the terms in -599 - 40778*r**3 - 102797*r**3 + 599. -143575*r**3 Collect the terms in 91368*c**2 - 274098*c**2 + 91365*c**2 + 91381*c**2. 16*c**2 Collect the terms in -90907*r**3 - 12064*r**3 + 15275*r**3. -87696*r**3 Collect the terms in 20021 - 6649 - 6688 - 6684 - 7*j. -7*j Collect the terms in -305*s - 286*s - 288*s - 348*s + 1340*s. 113*s Collect the terms in 582*i**3 + 586*i**3 + 365*i**3 + 587*i**3 - 2118*i**3. 2*i**3 Collect the terms in -256*x**2 - 57 - 32 + 51 + 254*x**2. -2*x**2 - 38 Collect the terms in 4*f**3 - 2 - f**3 + 61 - 99. 3*f**3 - 40 Collect the terms in 333*f + 3344*f - 7090*f + 3347*f. -66*f Collect the terms in -20564 - u + 10339 + 10316. -u + 91 Collect the terms in 2 - 2 + 264649*k**3 - 835*k - 264618*k**3. 31*k**3 - 835*k Collect the terms in -o**3 - 12*o**2 + 66258 - 66258 + 4*o. -o**3 - 12*o**2 + 4*o Collect the terms in -628618 - 628624 - 628606 + 1885851 - 35*h. -35*h + 3 Collect the terms in -409693*x**3 + 204024*x**3 - x**2 + 203968*x**3 + 3*x**2 - 2*x**2. -1701*x**3 Collect the terms in -54 + 222 - 2246*n - 168 - 3*n**2. -3*n**2 - 2246*n Collect the terms in -148372563966191 - 24*y**3 + 148372563966191. -24*y**3 Collect the terms in 13 - 29 - 73 + 7*u + 33 + 62. 7*u + 6 Collect the terms in 46107*p**2 + 46137*p**2 - 92176*p**2 - 1 - 1 + 2. 68*p**2 Collect the terms in -14848069*n - 2*n**2 - 3*n**2 + 0*n**2 + 14848069*n. -5*n**2 Collect the terms in -65 - 125 + 413*
{ "pile_set_name": "DM Mathematics" }
uppose 7*l = 2*l - 4*g + 130, 3*l + 3*g = 81. What is the remainder when t is divided by l? 21 Let j be -1 + 1 - (1 - 4). Let w(y) = 4*y**2 - 2*y + 3. Calculate the remainder when w(j) is divided by 17*1 + (-1 - -1). 16 Let b(m) = -5*m - 2*m**2 - 3*m**2 + 6*m**2 - 8. What is the remainder when b(10) is divided by 15? 12 Suppose -3*f - 2*k + 154 = -f, -3*k + 306 = 4*f. What is the remainder when f is divided by 16? 11 What is the remainder when -5 - -29 - (1 + -1) is divided by 5? 4 What is the remainder when 1*(-2 - -14) + -2 is divided by (-8)/(-60) - ((-68)/(-60) - 4)? 1 Suppose -a - a = 3*y - 14, 3*y = 2*a - 2. Suppose -l - 9 = y*l, -2*p - 3*l = 3. What is the remainder when 2/(-7) - 116/(-14) is divided by p? 2 Let z(n) = n + 58. What is the remainder when z(-24) is divided by 7? 6 Suppose 71*m = 65*m + 150. Calculate the remainder when m is divided by 10. 5 Let x = 74 - 21. Suppose 0 = -d - 4, -5*p + 4*d + 18 = -3. Suppose -71 = -5*w - p. What is the remainder when x is divided by w? 11 Let k = -19 + -55. Let j = k - -113. Calculate the remainder when j is divided by 20. 19 Let c = -19 - -28. Suppose -7*m = -c*m + 44. What is the remainder when m is divided by 12? 10 Suppose -5*x = -3*c - 41, -x - 11 = -4*c + 5*c. Let p = 12 - -2. Calculate the remainder when p is divided by 6/4*(-64)/c. 6 Let g(o) = o**2 + 2*o - 1. Let n be g(1). Suppose -n*j - 1 = 1. Calculate the remainder when 17 is divided by 7 + (-1 - 3/j). 8 What is the remainder when (1 - -13)*6/4 is divided by 8? 5 Suppose -j + 39 + 14 = 0. Calculate the remainder when j is divided by 8. 5 Suppose 0 = 3*l + 8 - 47. Calculate the remainder when l is divided by 6. 1 Let s = -19 + 29. What is the remainder when 49 is divided by s? 9 Suppose -95 = -4*d - 3*i, 94 = 4*d - 0*d + 2*i. Let p = d + -17. Calculate the remainder when p is divided by 4. 2 Let s(q) = 25*q. Calculate the remainder when s(1) is divided by 7. 4 Let u be (-38)/(-8) + (-3)/(-12). Suppose 0 = 3*a, a + 2*a = -4*n. Suppose u*g - g - 40 = n. Calculate the remainder when 19 is divided by g. 9 Let q(b) = -10*b + 10. Let l be q(9). Let o be (48/5)/(12/l). Let x = 101 + o. What is the remainder when x is divided by 19? 18 Suppose -3*z - z = -148. Suppose 4*n + 25 = g + 7*n, 0 = -2*g - 5*n + 46. Calculate the remainder when z is divided by g. 11 Let u = 149 - 30. Calculate the remainder when u is divided by 24. 23 Let d(p) = 16*p - 2. Suppose 0*f - 3*f = -9. What is the remainder when d(f) is divided by 16? 14 Suppose 2*x + 14*p - 17*p - 24 = 0, -4*x + 52 = -4*p. What is the remainder when -2 - -2 - (-86)/2 is divided by x? 13 Let m = -14 + 40. Let l = 106 + -29. Calculate the remainder when l is divided by m. 25 Suppose 3*z - 2*z = 5. Calculate the remainder when 7 is divided by z. 2 Suppose -w = w + 12. Let l be w/21 - (-4)/14. Suppose 5*v + 2*x - 32 = 0, -3*v + 12 + l = 3*x. What is the remainder when 22 is divided by v? 6 Let o = 3 + -1. Suppose o*k = 6*k. Suppose k*i = i - 3. What is the remainder when i is divided by 3? 0 Let d = 8 - 8. Suppose 4*b + 0 - 4 = d. What is the remainder when 23/2 + b/2 is divided by 7? 5 Let w(a) = -2*a**3 - 6*a**2 - 2*a - 5. Suppose -41 = 5*p - 131. Calculate the remainder when w(-5) is divided by p. 15 Let c = 8 - 5. Let j = c + -2. Suppose 20 = 5*a - 5*x, 4*x - 49 + j = -4*a. Calculate the remainder when a is divided by 5. 3 Suppose 92 + 34 = 2*f. Calculate the remainder when f is divided by 13. 11 Let g = 6 - -1. Let j(i) = 2*i - 13. What is the remainder when j(12) is divided by g? 4 Calculate the remainder when 64 is divided by ((-15)/(-9))/((-10)/(-30)). 4 Let x(b) = -6*b + 3 - 2 + 3. Calculate the remainder when x(-4) is divided by 10. 8 Let y = 6 - 1. Calculate the remainder when 15 is divided by ((-18)/y)/((-10)/25). 6 Let s = -2 - -1. Calculate the remainder when 35 is divided by (1 - s) + 8 - -2. 11 Suppose 5*r - 33 = -3. Let n be (-2)/(-9) + (-12)/54. Suppose -p + 8 = 4*a - 60, p = n. Calculate the remainder when a is divided by r. 5 Let b(j) = 3*j**2 + 1. Let t be ((-4)/(-6))/((-6)/9). What is the remainder when b(t) is divided by 2? 0 Suppose -2*o = -5*v + 2*o + 123, -2*v = o - 44. Calculate the remainder when 66 is divided by v. 20 Let b = 21 + -16. What is the remainder when 6 is divided by b? 1 Suppose -37 = -w - 0. Suppose -292 + w = -5*x. What is the remainder when x is divided by 26? 25 Let a = 86 - 44. Let w = -23 + a. Calculate the remainder when 74 is divided by w. 17 Suppose -12 + 2 = -m. Suppose c + m = -2*u, 0 = -2*u - 2 - 8. Calculate the remainder when 20 - (-4 + c - -2) is divided by 8. 6 Suppose 2*l + 1 = -1. Let x(r) = -7*r**3 + r**2 - r - 1. Suppose 21 = t - j, -t + 2*t - 5*j - 17 = 0. What is the remainder when t is divided by x(l)? 6 Suppose 7*v + 155 = 12*v. Calculate the remainder when v is divided by 17. 14 Suppose -2*a + 11 + 47 = 0. What is the remainder when a is divided by 11 - (8/(-4) + 3)? 9 Suppose -4*o - 5*q + 6 = -59, 3*o = -q + 46. Calculate the remainder when o is divided by 3. 0 Let w be 406/(-35) + (-3)/(-5). Let q = w - -28. Calculate the remainder when 32 is divided by q. 15 Let q = 253 + -223. Calculate the remainder when q is divided by (4/(-2))/(8/(-44)). 8 Suppose 16 = 3*a - 5*a + 5*k, 18 = -a + 5*k. What is the remainder when 135/3 + a + 2 is divided by 13? 10 Let h = -19 - -7. What is the remainder when 45 is divided by (3 - 2)/((-1)/h)? 9 Let x(k) = -19*k + 4. Let w be x(-3). Suppose -h + 10 = a - 9, 3*a + 5*h - w = 0. What is the remainder when 48 is divided by a? 14 Let n(u) = -u**2 + 2*u. Let g be n(1). Let r(q) = 8*q**3 - q. Let c(k) = -12*k + 1. Calculate the remainder when c(-2) is divided by r(g). 4 Suppose 3*c - 27 - 12 = 0. What is the remainder when c is divided by ((-28)/(-8))/(2/4)? 6 Suppose -28 + 138 = -5*c. Let y = c - -48. Calculate the remainder when y is divided by 7. 5 Suppose m + 4 = -3*p + 21, 4*p - 20 = -m. What is the remainder when 31 is divided by m? 7 What is the remainder when 63 - (-1 - 0 - 3) is divided by 14? 11 Suppose 2*o + 7 = q, -o = -5*q + 2*o + 35. Let a(b) = -b**3 + 5*b**2 + 4*b - 9. Let p be a(6). Let v = p + 41. Calculate the remainder when v is divided by q. 6 Suppose 2*w - 2 = 8. Suppose y + 20 = w*y. Suppose 2*u - 108 - 14 = -y*z, -3*z + 4*u = -94. What is the remainder when z is divided by 9? 8 Suppose -k = 2*k - 27. Suppose -11*o + 233 = -31. What is the remainder when o is divided by k? 6 Let a = 7 - -12. Suppose -13 = 5*u - 4*u. Let c = a + u. What is the remainder when 17 is divided by c? 5 Let r be 4*((2 - -2) + -5). Let k(f) = -13*f + 4. Suppose 0 = -3*y + 35 + 22. What is the remainder when k(r) is divided by y? 18 Let c = 309 - 161. Calculate the remainder when c is divided by 30. 28 Let p = -4713 - -3225. Let x be p/(-20) + 2/(-5). Suppose 8*a - 3*a - 2*i = x, a + 2*i - 10 = 0. Calculate the remainder when a is divided by 8. 6 Suppose 13 - 4 = d. What is the remainder when 34 is divided by d? 7 Suppose 2*s = -4*g, s = -3*s + g + 9. Suppose -y - 12 = -s*v, -v - 1 = 5*y + 4. What is the remainder when 8 is divided by v? 3 Let v(s) = -s + 5. What is the remainder when 3 is divided by v(2)? 0 Suppose 3*b + 67 = 4*b. Suppose -2*p + 75 = 29. What is the remainder when b is divided by p? 21 Let c = 6 + -4. Suppose 0 = 2*q + c + 2. Calculate the remainder when (-11 + 4)*(1 + q) is divided by 3. 1 Let v = -7 - -13. Calculate the remainder when v is divided by 3. 0 Let t = -135 + 193. Calculate the remainder when t is divided by 30. 28 Suppose -4*w = -2*w - 130. Calculate the remainder when w is divided by 34. 31 Let h = 8 - 14. Calculate the remainder when (-134)/(-6) + 1/(-3) is divided by -2 + 11 + 5 + h. 6 Suppose 4*h + 10 = d + 27, d = -1. Suppose -2*j - f + 28 = -j, 2*j - 62 = -h*f. Calculate the remainder when 74 is divided by j. 24 Let t = -13 + 18. Suppose -17 = -y - 57. Calculate the remainder when t is divided by (-168)/y - 1/5. 1 Let i = 6 + -4. Suppose i*r = 6*r. Suppose r*h - 3 = -3*h. What is the remainder when 1 is divided by h? 0 Let q(j) = -j**2 - j + 7. Suppose -b - 4*b = 0. Suppose 23 = 2*c + 2*p + p, -2*p = 4*c - 26. What is the remainder when q(b) is divided by c? 3 Suppose -3*i = -0 - 18. Suppose k + 4*a = 2*k - 2, -5*a = -25. Suppose p - 3*p = -k. Calculate th
{ "pile_set_name": "DM Mathematics" }
1752 Multiply 0.1 and 4305.0808. 430.50808 Work out 16177 * -206. -3332462 Product of -0.072 and -10991. 791.352 -60335 times -8 482680 Product of -240.57853 and 34. -8179.67002 -5.4 * 41570 -224478 Work out -71677 * -31.4. 2250657.8 What is -3817.219 times 5? -19086.095 What is the product of -0.4 and 60097529? -24039011.6 Work out -179 * -745. 133355 Calculate -0.004*3517951. -14071.804 Calculate 0.5*-79608457. -39804228.5 What is 525760 times 25? 13144000 0.007508 * -598 -4.489784 Work out 2251 * 219455. 493993205 Work out 108.164 * -253. -27365.492 -2*137272771 -274545542 What is the product of 5881.58 and -1.34? -7881.3172 0.2*4088178 817635.6 -0.318978 * -0.0441 0.0140669298 1379 * -1259.01 -1736174.79 Work out 3283 * -23660. -77675780 Multiply -90 and 243739. -21936510 Multiply 23 and 2.263629. 52.063467 What is -1 times -25253098? 25253098 Product of -0.025831 and 34.6. -0.8937526 What is 0.03 times 407.477? 12.22431 0.616741 times 92 56.740172 Product of -4 and 120.9588. -483.8352 Work out 3769 * -2200. -8291800 Product of -5427778 and -0.24. 1302666.72 What is -4335940 times -149? 646055060 0.4 * 493.25695 197.30278 0.726387 * 0.17 0.12348579 7337 * -167 -1225279 Multiply 0.4 and -2345.109. -938.0436 -0.27861656*-2.4 0.668679744 4356 * 638.7 2782177.2 Product of -0.1416 and 492. -69.6672 2*-40.402936 -80.805872 What is the product of 56832518 and -3? -170497554 Multiply 11358 and 1293. 14685894 Product of -3.8 and 4259480. -16186024 Multiply 128908 and -0.5. -64454 What is the product of 0.2 and 16.66627? 3.333254 What is 278530 times 0.106? 29524.18 -43.33 times 3.97 -172.0201 Work out -0.192 * -303931.7. 58354.8864 Multiply 68304784 and 4. 273219136 -15810647 * 0 0 21236*-3176 -67445536 -26071*0.0318 -829.0578 Work out -60183 * -64. 3851712 19522.0046*3 58566.0138 -0.5 times -0.005922769 0.0029613845 Product of -0.06 and 2586614. -155196.84 Calculate 13091728*0.3. 3927518.4 Multiply 30479.2 and -0.014. -426.7088 What is 107181 times 1175? 125937675 -18386 * -1.612 29638.232 What is the product of -1696063 and 0.051? -86499.213 What is 94.527 times -15? -1417.905 Multiply 140.2413 and -8.4. -1178.02692 What is the product of 40.00407 and 0.13? 5.2005291 Work out -0.6 * 1167030. -700218 866.474 times 1.1 953.1214 What is -0.1844599 times -13? 2.3979787 Calculate 0.1301035*37.4. 4.8658709 Calculate -5243816*155. -812791480 Product of 14888 and -0.106. -1578.128 3704.2*-309 -1144597.8 Calculate 222325*0.1. 22232.5 What is the product of 249320530 and 0.5? 124660265 What is 458320 times -9? -4124880 -0.611*49960 -30525.56 951983 times 0.28 266555.24 -70.11*230.2 -16139.322 What is 0.743 times -2.24? -1.66432 Multiply 550249 and 115. 63278635 What is the product of -53 and -3.17944? 168.51032 -179621 times 2.331 -418696.551 0.04939831 times -10 -0.4939831 0.13 * -0.35994218 -0.0467924834 What is the product of -0.037949 and 12.1? -0.4591829 Product of -0.035 and 593946. -20788.11 -44688 times 1264 -56485632 What is the product of -6294.4 and -1.1? 6923.84 Calculate -4.491*5046. -22661.586 What is -41327.3 times -0.1? 4132.73 Work out 11.5 * 0.168452. 1.937198 0.03*0.6676022 0.020028066 Multiply -17 and 2180878. -37074926 What is the product of 28 and 568332? 15913296 1662725 times 7.1 11805347.5 Work out 0.3 * -78444746. -23533423.8 63564 times -29.9 -1900563.6 Work out 0.32 * -3235567. -1035381.44 What is -53.459451 times -0.1? 5.3459451 What is 52 times 186651? 9705852 Calculate -0.3*0.081514. -0.0244542 Multiply 6685 and 7.58. 50672.3 Calculate 9369464*-0.4. -3747785.6 Calculate -0.03222*-846. 27.25812 What is -0.48 times 13063? -6270.24 Work out -1660 * 14216. -23598560 0.4 * 40478827 16191530.8 Work out -0.02 * 0.3987692. -0.007975384 What is the product of 336 and -715? -240240 What is 5 times 0.06981394? 0.3490697 Calculate -0.26*-353358. 91873.08 What is -25 times 4971820? -124295500 -0.3 * -336056.2 100816.86 What is the product of 4 and 10495933? 41983732 Multiply -65760 and -66. 4340160 Calculate 0.2095*4752. 995.544 Work out -218140 * -638. 139173320 22.1*42291.3 934637.73 What is the product of -1795239 and 0.1? -179523.9 -4.957 * -3811.7 18894.5969 -35398*2.8 -99114.4 Multiply -67514 and -0.04. 2700.56 -2626460 * 0.024 -63035.04 What is the product of 16113222 and 12? 193358664 -5 times -156377 781885 0.088 times 8020691 705820.808 Calculate 128164*63. 8074332 1055.912*-1 -1055.912 What is 0.2 times 88.4736? 17.69472 Work out -114 * 3037404. -346264056 Multiply 0.084 and -2.169168. -0.182210112 Product of 1.1 and -31701669. -34871835.9 What is the product of -1.1 and 0.001214819? -0.0013363009 What is the product of 2 and 17726.88? 35453.76 What is -5 times -142712697? 713563485 -834.7*588 -490803.6 Calculate -5.236*12.647. -66.219692 Calculate -2*8.979289. -17.958578 What is 2 times -532311? -1064622 Product of -2797 and 759.5. -2124321.5 Multiply 8877 and -222. -1970694 -92.09 * -11885 1094489.65 Calculate -312.032*-0.129. 40.252128 Calculate 0.1*-6773432. -677343.2 Multiply 1589.9 and 7235. 11502926.5 0.5 times -410.92792 -205.46396 Multiply 2 and 3364318. 6728636 Product of 1.2 and -5815.82. -6978.984 Calculate -655.0866*-5. 3275.433 Product of -0.0158855 and -546. 8.673483 Calculate 5*34094.9. 170474.5 7.7521 times 91 705.4411 What is the product of -319 and -2238.75? 714161.25 17485.4642 * 0 0 814.04 times -199 -161993.96 What is 9 times 1000235? 9002115 Calculate -375.809*-28.9. 10860.8801 -0.314034*-23 7.222782 What is -15.1 times 115611? -1745726.1 Work out -2.47152 * 0.1515. -0.37443528 Work out -33760.8 * -0.83. 28021.464 Work out 0.3 * -29358652. -8807595.6 Calculate -7.95*-3.245. 25.79775 Work out -1144 * 331.1. -378778.4 What is the product of -0.0703319 and 3? -0.2109957 What is the product of 0.1 and 11.143429? 1.1143429 What is the product of 0.03 and 610016? 18300.48 What is the product of -5 and -86266.6? 431333 -0.1142*207481 -23694.3302 -0.0168776*-0.22 0.003713072 Work out -4 * -1845208. 7380832 Product of 0.18 and -0.005538. -0.00099684 Product of 29.876156 and 0.1. 2.9876156 Product of 24 and 475.41. 11409.84 Calculate 3.465*8017. 27778.905 -0.74 times -3532603 2614126.22 -84.684 * 278 -23542.152 -0.5 * -744891 372445.5 What is 0.4 times 2226419? 890567.6 Multiply 0.032 and -2980135. -95364.32 What is -37539 times 3513? -131874507 258500*-1779 -459871500 Multiply -648 and -94803. 61432344 Multiply -32 and -2.26295. 72.4144 What is -0.3851 times -3510? 1351.701 Calculate -0.2*86.86721. -17.373442 Multiply 401597 and -10. -4015970 Product of -1.771 and 1.621. -2.870791 Work out -0.4 * -1832575. 733030 What is the product of -30 and -336951? 10108530 Calculate 13601840*1. 13601840 39.6871 times -8 -317.4968 -43106.3*451 -19440941.3 What is the product of 0.0468 and -6363? -297.7884 -2 * -10711.39 21422.78 Multiply -0.1 and -17065512. 1706551.2 Product of 0.5 and 12356. 6178 Calculate 48077935*-0.5. -24038967.5 -62 times 786830 -48783460 55556.74*3.2 177781.568 1271 * -5149 -6544379 0.027818 * -57.7 -1.6050986 What is the product of 0.26 and 5107? 1327.82 Work out 3.740054 * 1. 3.740054 Work out 10482 * 41145. 431281890 -153 times -190279 29112687 Work out -30.582 * 549.8. -16813.9836 Multiply -114476.658 and 0.3. -34342.9974 0.17 times -392829 -66780.93 0.4 * -1566.19753 -626.479012 Calculate -0.340917*-32. 10.909344 Product of 0.3 and -14.8479183. -4.45437549 -24.3 * -1945788 47282648.4 -6344 times -0.0486 308.3184 Product of -0.2 and 81873.32. -16374.664 Work out -0.1 * 283473765. -28347376.5 Product of 37 and -5716129. -211496773 -2604457*-39 101573823 Product of 1.456 and -38872. -56597.632 Multiply -3 and -52828162. 158484486 Multiply -33783 and 12. -405396 Work out 32995 * -503. -16596485 Product of -2509.67 and 0.7. -1756.769 20564.6502 times -2 -41129.3004 What is the product of -0.3441075 and 6? -2.064645 Work out 447.7 * 2.094. 937.4838 Product of -10663491 and 1. -10663491 What is the product of -71.7 and -4.9789? 356.98713 -3701 * -1884.6 6974904.6 -0.12 * -4.54176 0.5450112 What is 149126 times -0.1062? -15837.1812 -161 times -23450 3775450 Product of -74 and 566443. -41916782 Calculate 43699186.8*4. 174796747.2 What is 7719 times -4.1489? -32025.3591 Work out -31982 * 0.045. -1439.19
{ "pile_set_name": "DM Mathematics" }
or of 357 and 42? 21 Calculate the greatest common divisor of 21 and 3318. 21 Calculate the highest common factor of 32 and 56. 8 What is the greatest common factor of 38 and 2774? 38 Calculate the highest common divisor of 59 and 54221. 59 What is the highest common divisor of 7476 and 14? 14 Calculate the greatest common divisor of 31752 and 294. 294 Calculate the greatest common divisor of 14 and 42. 14 Calculate the greatest common factor of 1 and 1009. 1 Calculate the highest common factor of 225 and 360. 45 What is the greatest common divisor of 8512 and 2926? 266 What is the highest common divisor of 361 and 551? 19 Calculate the greatest common divisor of 12 and 16152. 12 What is the greatest common divisor of 275 and 143? 11 Calculate the highest common divisor of 160341 and 29. 29 Calculate the highest common divisor of 348 and 12. 12 What is the greatest common factor of 576 and 192? 192 What is the greatest common factor of 178 and 14418? 178 What is the highest common divisor of 854 and 182? 14 Calculate the greatest common divisor of 115 and 15. 5 Calculate the highest common factor of 426 and 12. 6 What is the highest common factor of 77 and 99? 11 What is the greatest common divisor of 175 and 50? 25 Calculate the highest common factor of 31 and 11129. 31 What is the greatest common factor of 99 and 891? 99 Calculate the highest common divisor of 27 and 666. 9 Calculate the highest common divisor of 1102 and 116. 58 Calculate the highest common factor of 151 and 3. 1 Calculate the highest common divisor of 572 and 4. 4 Calculate the highest common factor of 116 and 268. 4 Calculate the greatest common divisor of 26 and 767. 13 What is the greatest common factor of 85816 and 136? 136 Calculate the highest common factor of 9955 and 44. 11 Calculate the highest common divisor of 333 and 185. 37 What is the greatest common factor of 1144 and 13? 13 What is the greatest common divisor of 1000 and 31400? 200 What is the highest common factor of 30 and 4? 2 Calculate the greatest common divisor of 46 and 2. 2 What is the greatest common divisor of 72 and 128? 8 Calculate the greatest common factor of 3418 and 4. 2 What is the highest common divisor of 2037 and 294? 21 Calculate the greatest common divisor of 22464 and 64. 64 Calculate the highest common factor of 23 and 2783. 23 What is the highest common factor of 45 and 25? 5 What is the highest common divisor of 88 and 396? 44 Calculate the highest common factor of 184 and 56. 8 What is the highest common factor of 275 and 19525? 275 What is the highest common divisor of 578 and 102? 34 Calculate the highest common divisor of 452 and 8. 4 What is the highest common factor of 7 and 1792? 7 What is the greatest common divisor of 32 and 800? 32 Calculate the highest common divisor of 44 and 803. 11 Calculate the highest common divisor of 9 and 963. 9 Calculate the greatest common divisor of 49 and 833. 49 What is the greatest common factor of 60 and 2940? 60 What is the greatest common divisor of 12 and 18696? 12 Calculate the highest common divisor of 2354 and 22. 22 Calculate the greatest common divisor of 368 and 688. 16 What is the greatest common divisor of 244 and 40? 4 Calculate the greatest common divisor of 352 and 154. 22 What is the highest common divisor of 5900 and 50? 50 What is the highest common factor of 931 and 2646? 49 Calculate the greatest common divisor of 1806 and 42. 42 What is the greatest common factor of 22339 and 251? 251 What is the highest common factor of 132 and 5181? 33 What is the highest common factor of 645 and 135? 15 Calculate the greatest common divisor of 32 and 432. 16 Calculate the highest common factor of 715 and 3003. 143 Calculate the greatest common divisor of 3978 and 936. 234 Calculate the greatest common divisor of 50 and 6630. 10 Calculate the greatest common divisor of 1748 and 23. 23 What is the greatest common factor of 1880 and 16? 8 Calculate the greatest common factor of 104 and 3016. 104 Calculate the greatest common factor of 1053 and 572. 13 Calculate the greatest common factor of 93 and 217. 31 What is the highest common factor of 19 and 475? 19 What is the highest common factor of 16 and 7792? 16 What is the highest common divisor of 41 and 3? 1 What is the highest common divisor of 625 and 25? 25 Calculate the highest common factor of 106 and 36994. 106 Calculate the greatest common factor of 244 and 1098. 122 Calculate the greatest common factor of 1824 and 36. 12 Calculate the highest common factor of 60 and 510. 30 Calculate the highest common factor of 27 and 1233. 9 What is the highest common divisor of 255 and 75? 15 Calculate the greatest common factor of 270 and 75. 15 What is the highest common factor of 710 and 70? 10 Calculate the greatest common divisor of 15 and 12. 3 What is the greatest common factor of 2006 and 102? 34 Calculate the greatest common factor of 30 and 5430. 30 What is the highest common factor of 442 and 182? 26 Calculate the highest common divisor of 97 and 1649. 97 What is the highest common divisor of 220 and 88? 44 Calculate the greatest common divisor of 441 and 2499. 147 What is the highest common factor of 352 and 112? 16 Calculate the highest common factor of 851 and 92. 23 Calculate the highest common divisor of 345 and 15. 15 Calculate the highest common divisor of 19 and 85177. 19 What is the highest common divisor of 1735 and 60? 5 What is the greatest common divisor of 2282 and 1793? 163 What is the highest common factor of 6 and 174? 6 Calculate the greatest common divisor of 40898 and 26. 26 Calculate the highest common divisor of 200 and 810. 10 What is the highest common factor of 2304 and 9? 9 What is the greatest common divisor of 92 and 13708? 92 Calculate the greatest common divisor of 2 and 74. 2 Calculate the highest common divisor of 91 and 182. 91 What is the highest common divisor of 184 and 69? 23 What is the highest common factor of 3348 and 288? 36 What is the highest common divisor of 1035 and 6003? 207 Calculate the highest common divisor of 22 and 44. 22 What is the greatest common divisor of 36 and 1536? 12 What is the greatest common divisor of 3478 and 94? 94 Calculate the greatest common divisor of 8 and 4. 4 Calculate the greatest common factor of 227 and 7264. 227 What is the highest common factor of 320 and 20? 20 What is the highest common divisor of 3680 and 345? 115 Calculate the greatest common factor of 18 and 162. 18 What is the greatest common factor of 9485 and 3252? 271 What is the highest common divisor of 17934 and 294? 294 What is the highest common divisor of 24 and 84? 12 What is the highest common divisor of 222 and 666? 222 What is the greatest common divisor of 9 and 17757? 9 What is the highest common divisor of 87 and 464? 29 Calculate the greatest common factor of 19 and 19. 19 What is the highest common factor of 105 and 21? 21 What is the greatest common factor of 329 and 141? 47 Calculate the highest common factor of 16370 and 10. 10 Calculate the highest common divisor of 2501 and 205. 41 What is the greatest common divisor of 3195 and 360? 45 What is the greatest common factor of 54 and 6291? 27 Calculate the highest common divisor of 83 and 913. 83 What is the highest common divisor of 90 and 54? 18 What is the greatest common factor of 1429 and 2? 1 Calculate the highest common factor of 747 and 72. 9 Calculate the greatest common divisor of 13 and 4. 1 What is the highest common divisor of 1325 and 954? 53 Calculate the greatest common divisor of 35 and 189. 7 Calculate the greatest common factor of 70 and 1470. 70 Calculate the greatest common factor of 760 and 1330. 190 Calculate the highest common divisor of 16 and 48. 16 What is the highest common factor of 17 and 12393? 17 What is the greatest common divisor of 81 and 36? 9 What is the highest common divisor of 279 and 81? 9 What is the highest common factor of 494 and 1254? 38 Calculate the highest common factor of 627 and 95. 19 What is the greatest common factor of 28 and 28? 28 Calculate the highest common factor of 95 and 20. 5 What is the greatest common divisor of 14986 and 118? 118 What is the greatest common divisor of 8 and 1592? 8 Calculate the greatest comm
{ "pile_set_name": "DM Mathematics" }
entimeters are there in 3/10 of a meter? 30 How many micrometers are there in seventy-seven halves of a millimeter? 38500 What is one sixth of a decade in months? 20 What is 249093.8 kilograms in nanograms? 249093800000000000 How many tonnes are there in 782.6212kg? 0.7826212 How many months are there in 2.607913 years? 31.294956 What is 42.239322 seconds in hours? 0.011733145 What is 92376.76g in milligrams? 92376760 What is 0.9441655 milligrams in tonnes? 0.0000000009441655 How many months are there in twenty-three thirds of a millennium? 92000 How many nanograms are there in 5599.726 grams? 5599726000000 How many litres are there in 67.78989ml? 0.06778989 What is 477.7794ns in milliseconds? 0.0004777794 What is 2/125 of a tonne in kilograms? 16 What is 29.21844 months in decades? 0.243487 How many weeks are there in 65904.552 minutes? 6.53815 How many minutes are there in 25/2 of a hour? 750 How many nanograms are there in one tenth of a microgram? 100 How many months are there in 5/4 of a decade? 150 What is 88992.69 millennia in decades? 8899269 How many hours are there in 1919.598 minutes? 31.9933 Convert 39540828.6 minutes to weeks. 3922.70125 How many millilitres are there in twenty-one eighths of a litre? 2625 What is 97516.75 decades in millennia? 975.1675 Convert 602655.2 tonnes to kilograms. 602655200 How many milligrams are there in 4969.117ng? 0.004969117 What is seventeen quarters of a litre in millilitres? 4250 What is 2161.721l in millilitres? 2161721 What is nineteen quarters of a hour in seconds? 17100 How many litres are there in 34175.45ml? 34.17545 How many months are there in one sixth of a millennium? 2000 How many millimeters are there in 1/20 of a meter? 50 How many millennia are there in 1487.505 years? 1.487505 Convert 5555.227 years to decades. 555.5227 How many minutes are there in 4/21 of a week? 1920 How many meters are there in 5.619517nm? 0.000000005619517 What is 1.625944 litres in millilitres? 1625.944 How many hours are there in 67.751469ns? 0.0000000000188198525 Convert 6.73852 decades to years. 67.3852 What is 38557.02 days in minutes? 55522108.8 What is 37/5 of a litre in millilitres? 7400 How many seconds are there in 8813.391 minutes? 528803.46 How many litres are there in 12676.1ml? 12.6761 What is 657.8894 nanograms in milligrams? 0.0006578894 What is 9/10 of a decade in months? 108 Convert 5.690564 micrometers to millimeters. 0.005690564 What is 20/9 of a day in minutes? 3200 Convert 753399.3 litres to millilitres. 753399300 How many nanometers are there in 3/5 of a micrometer? 600 Convert 9883.904 nanograms to micrograms. 9.883904 Convert 5320.749 days to weeks. 760.107 What is fourty-two fifths of a micrometer in nanometers? 8400 What is 87/5 of a litre in millilitres? 17400 Convert 516250.2 days to nanoseconds. 44604017280000000000 How many years are there in seventy-four fifths of a century? 1480 What is 3/8 of a litre in millilitres? 375 What is three sevenths of a week in days? 3 What is 0.3883757g in kilograms? 0.0003883757 What is fourty-eight fifths of a century in decades? 96 What is 5897.877ng in tonnes? 0.000000000005897877 What is twenty-one halves of a millennium in decades? 1050 Convert 7370.38 milligrams to grams. 7.37038 Convert 2.2071ml to litres. 0.0022071 What is three fifths of a kilogram in grams? 600 What is 5/4 of a millennium in years? 1250 Convert 175228.95 minutes to hours. 2920.4825 What is 3/16 of a century in months? 225 Convert 0.6277373 micrometers to nanometers. 627.7373 How many millilitres are there in thirteen eighths of a litre? 1625 What is 2478.6987ns in minutes? 0.000000041311645 What is twenty-one halves of a gram in milligrams? 10500 What is 17/2 of a meter in centimeters? 850 How many nanometers are there in three fifths of a micrometer? 600 How many nanograms are there in fourty-nine quarters of a microgram? 12250 How many decades are there in 8513.77 millennia? 851377 Convert 4387.604 tonnes to grams. 4387604000 Convert 68663.38 litres to millilitres. 68663380 Convert 0.1362065cm to kilometers. 0.000001362065 Convert 973.823 centuries to years. 97382.3 How many millilitres are there in 5/4 of a litre? 1250 How many nanometers are there in 13.24317km? 13243170000000 How many nanometers are there in 11/4 of a micrometer? 2750 What is 0.1954458mm in nanometers? 195445.8 How many hours are there in 11/8 of a week? 231 What is 0.0895457 decades in months? 10.745484 Convert 263028.5 days to seconds. 22725662400 How many millennia are there in 0.2221893 centuries? 0.02221893 What is eleven halves of a litre in millilitres? 5500 What is fifty-seven fifths of a litre in millilitres? 11400 How many litres are there in 13848.77 millilitres? 13.84877 What is 20.05804 millimeters in micrometers? 20058.04 What is 4/15 of a decade in months? 32 What is 1.916838 months in decades? 0.01597365 How many millilitres are there in three fifths of a litre? 600 What is 18804.52g in kilograms? 18.80452 What is fifty-one halves of a millennium in years? 25500 What is 55/4 of a decade in months? 1650 How many litres are there in 8.011976ml? 0.008011976 How many milliseconds are there in 6/25 of a second? 240 What is eleven eighths of a tonne in kilograms? 1375 How many milliseconds are there in 1/24 of a minute? 2500 What is 1/5 of a minute in seconds? 12 What is one tenth of a meter in millimeters? 100 How many millilitres are there in eleven halves of a litre? 5500 What is 1/45 of a day in seconds? 1920 What is 1/64 of a kilogram in milligrams? 15625 Convert 11712.9m to millimeters. 11712900 How many minutes are there in seventeen ninths of a week? 19040 Convert 71.0569 nanometers to micrometers. 0.0710569 What is thirteen eighths of a litre in millilitres? 1625 How many millilitres are there in 30877.63 litres? 30877630 What is 27/4 of a hour in seconds? 24300 What is 3/5 of a microgram in nanograms? 600 What is 3/5 of a kilometer in meters? 600 How many months are there in 405.3387 millennia? 4864064.4 How many millilitres are there in 3/8 of a litre? 375 Convert 244446.39s to hours. 67.901775 What is 46522.19 centuries in decades? 465221.9 What is 0.1407091 decades in millennia? 0.001407091 What is 4.950098 nanometers in micrometers? 0.004950098 What is 5.630909 weeks in microseconds? 3405573763200 Convert 51.37685 days to weeks. 7.33955 Convert 632.6702 decades to years. 6326.702 Convert 2.09883 months to centuries. 0.001749025 How many centimeters are there in 3/5 of a kilometer? 60000 How many millilitres are there in 3/5 of a litre? 600 What is 80679.05 nanometers in meters? 0.00008067905 What is 7182.26 milligrams in micrograms? 7182260 What is five sixths of a day in hours? 20 How many hours are there in 388.32732us? 0.0000001078687 What is 8207.697 kilometers in meters? 8207697 What is 8.18324 years in decades? 0.818324 How many years are there in fifty-two fifths of a decade? 104 What is 19/4 of a litre in millilitres? 4750 What is 3/8 of a millimeter in micrometers? 375 How many minutes are there in twenty-three eighths of a day? 4140 How many centimeters are there in 1/5 of a kilometer? 20000 How many micrometers are there in nineteen tenths of a millimeter? 1900 What is three fifths of a kilometer in meters? 600 Convert 1742.467 grams to micrograms. 1742467000 How many micrograms are there in 11/10 of a milligram? 1100 Convert 479515.3 kilometers to meters. 479515300 Convert 7.455806cm to nanometers. 74558060 How many centuries are there in 1.408444 years? 0.01408444 Convert 0.703626 millilitres to litres. 0.000703626 How many grams are there in 59.805 kilograms? 59805 What is twenty-one halves of a week in hours? 1764 What is 709785.6 days in nanoseconds? 61325475840000000000 How many litres are there in 98.6039ml? 0.0986039 What is 231683.8t in milligrams? 231683800000000 What is 45/8 of a centimeter in micrometers? 56250 What is 265.8663g in kilograms? 0.2658663 Convert 7.565352 centuries to decades. 75.65352 What is one fifth of a second in milliseconds? 200 How many nanoseconds are there in one quarter of a microsecond? 250 How many nanometers are there in 7/25 of a micrometer? 280 Convert 914.6728 weeks to minutes. 9219901.824 What is 6.129012 litres in m
{ "pile_set_name": "DM Mathematics" }
*p - 18 - 2 = 0. Let v(j) = -1. Let n(c) be the third derivative of 0*c - 1/12*c**4 + 0 + 43*c**2 - 1/2*c**3. Give q*v(z) + n(z). -2*z + 1 Let h(l) = 3561*l**2 + 10*l - 16. Let c(x) = -14238*x**2 - 42*x + 67. What is 6*c(u) + 25*h(u)? 3597*u**2 - 2*u + 2 Let z(v) = 4*v**3 + 3*v**2 + 6*v + 1. Let r(b) = -5*b**3 - 4*b**2 - 7*b - 2. Let c be 11 + (9 - 18) - 5. Give c*r(p) - 4*z(p). -p**3 - 3*p + 2 Let c(i) be the first derivative of -3*i**2 + 9*i + 9602. Suppose v = -v + 4. Let l(k) = 2*k - 3. Give v*c(p) + 7*l(p). 2*p - 3 Let r(b) = -13*b**3 + 7*b**2. Let j(f) be the second derivative of -44 + 1/5*f**5 - f - 1/6*f**4 + 0*f**3 + 0*f**2. Determine 21*j(u) + 6*r(u). 6*u**3 Let c = 6725 - 6722. Let g(k) = 6*k**3 + 3*k**2 + 10. Let m(q) = -2*q**3 - q**2 - 3. Give c*g(a) + 8*m(a). 2*a**3 + a**2 + 6 Let p(o) = 8*o**2 - 3*o + 2. Let y(w) = -4*w**2 + 2*w - 1. Let k(x) = 6*p(x) + 11*y(x). Let b(i) = -4*i**2 - 4*i - 2. Calculate -2*b(u) - 3*k(u). -4*u**2 - 4*u + 1 Let k(n) = -18*n - 1. Let b(z) be the third derivative of 3*z**4/2 + z**3/3 - 3048*z**2. Give -2*b(p) - 5*k(p). 18*p + 1 Let u(r) = 6*r**2 - 6*r - 332. Let s(j) = -2*j**2 + 2*j + 111. Give 7*s(t) + 2*u(t). -2*t**2 + 2*t + 113 Let k(c) = -7*c**2 + 2*c. Let g(p) = 4021 - 5*p**2 + 39*p**2 - 11*p - 2015 - 2006. What is 2*g(u) + 11*k(u)? -9*u**2 Let z(f) = 1033*f**2 - 6*f + 74. Let m(u) = 1032*u**2 - 5*u + 59. Calculate 5*m(t) - 4*z(t). 1028*t**2 - t - 1 Let p(n) = n**2 - n - 1. Let y(c) = -6*c**2 + 7*c + 7. Suppose 202*k = 192*k + 10. Calculate k*y(s) + 5*p(s). -s**2 + 2*s + 2 Let k(t) = 3*t - 2. Let w(o) = 38*o + 1. Give -4*k(b) + w(b). 26*b + 9 Let f(u) = -2*u - 2. Let t(a) = -6*a + 53. Let d(l) = 4*l - 33. Let q(b) = 8*d(b) + 5*t(b). Calculate 2*f(o) + 3*q(o). 2*o - 1 Let u(z) = 14744*z - 26. Let k(s) = 3684*s - 7. What is -11*k(x) + 3*u(x)? 3708*x - 1 Let g(b) = -2*b + 4. Let y(o) = 1. Suppose 67*p - 435 = -20*p. Determine p*y(v) - g(v). 2*v + 1 Suppose 5*y + v = 9, -4*y + 1 = y - v. Let o(z) = -z. Let s(c) = 29*c. What is y*s(k) + 6*o(k)? 23*k Let u(x) = 16*x - 23. Let s(o) = 19*o - 23. What is -5*s(d) + 4*u(d)? -31*d + 23 Let u(s) be the first derivative of s**2 - 13*s + 11/3*s**3 - 5. Let w(j) = -239*j**2 + 17 - j + 234*j**2 - 11. Give 6*u(l) + 13*w(l). l**2 - l Let f(u) = 999*u - 99. Let g = 6548 + -6449. Let q(z) = 40*z - 4. What is g*q(a) - 4*f(a)? -36*a Suppose -5*t - 17 = 2*k - 2, -2*k + 10 = 0. Let z(q) = -6*q**2 + 5*q - 6. Let u(g) = -7*g**2 + 6*g - 7. Give t*u(i) + 6*z(i). -i**2 - 1 Let i(v) = 138*v. Let d(f) = -19*f**2 - 130*f - 1. What is d(w) + i(w)? -19*w**2 + 8*w - 1 Let k(y) = 5*y. Let g(m) = 9*m. Let a(b) = -b**2 - 7*b - 4. Let r be a(-7). Let q(p) = r*g(p) + 7*k(p). Let w = 5 + -9. Let j(n) = 7*n. What is w*q(i) - j(i)? -3*i Let l(s) be the first derivative of -4*s**3/3 - s**2 + 3*s + 1. Let q(k) = k**2 - 1. Let y = 3625 - 3624. What is y*l(t) + 2*q(t)? -2*t**2 - 2*t + 1 Let z be (16 - 2) + -19 + 8. Let a(l) = -l - 1. Let j(r) = -r**3 + 5*r + 6. What is z*a(d) + j(d)? -d**3 + 2*d + 3 Let q(p) = 4*p**2 + 2*p. Suppose 0*l - l = -1. Let d be l + 1/1 + 0. Let s(k) = -5*k + 1599292104 - 1599292104 - 9*k**2. What is d*s(h) + 5*q(h)? 2*h**2 Let f(b) = -b**3 - b - 2. Let k(a) = 14234*a**3 + 7117*a + 14234. Determine -7117*f(q) - k(q). -7117*q**3 Suppose -4*a = -2*t - 42, -8 + 11 = 3*t. Let m(c) = 10*c. Let g(o) = -2*o - 5*o + 2*o. What is a*g(k) + 6*m(k)? 5*k Let b = -294 - -145. Let n = b - -160. Let x(r) = -1804*r - n + 1804*r + 5*r**3. Let s(j) = -2*j**3 + 4. Calculate -8*s(o) - 3*x(o). o**3 + 1 Let g(r) = r + 3. Let o(d) = -4*d - 8. Suppose -20 - 5 = -5*a. Suppose a*l = -0*l. Suppose k - 5*k = h - 27, -3*k - 5*h - 1 = l. Calculate k*g(c) + 3*o(c). -4*c Let w(i) = 1 - 7*i**2 - 12 + 4*i - 7 + i**3 - 5. Let r be w(7). Let d(z) = -3*z**2 + 9*z - 5. Let j(q) = -5*q**2 + 14*q - 8. Determine r*j(a) - 8*d(a). -a**2 - 2*a Let b(w) be the third derivative of 0 - 1/6*w**3 + 0*w + 167*w**2 + 0*w**4 + 1/20*w**5. Let u(q) = -7*q**2 - q + 3. Calculate -5*b(l) - 2*u(l). -l**2 + 2*l - 1 Let g(n) = 9*n - 33. Let h(b) = 30 + 22 - 103 + 26 + 26. Calculate -4*g(f) - 132*h(f). -36*f Let c(w) = 96*w + 5*w - 101*w + 3*w**3 + 3*w - 11. Let t(a) = -4*a**3 - 3*a + 12. Calculate -6*c(m) - 5*t(m). 2*m**3 - 3*m + 6 Let z(o) be the first derivative of -2*o**2 + o + 4882. Let t(g) = 3*g - 2. Give -2*t(p) - 3*z(p). 6*p + 1 Let r(w) = 69*w - 17. Let x = 768 + -775. Let f(o) = 46*o - 11. Let t(c) = x*f(c) + 5*r(c). Let z(p) = 8*p - 3. What is -4*t(u) + 11*z(u)? -4*u - 1 Let d(w) = -2. Let v = -321 - -332. Suppose 0 = -y + v*y + 40. Let a(k) = k - 11. Calculate y*a(m) + 22*d(m). -4*m Let p(k) = -k**2 - 8*k - 2. Let w(h) = -2*h**2 - 9*h - 3. Let s = 770 - 714. Let c be (-42)/s*12/(-9) + -4. Determine c*p(u) + 2*w(u). -u**2 + 6*u Let l(c) = 4221*c**3 + 4*c**2 + 4*c + 4. Let a(y) = 58013422*y**3 + 54977*y**2 + 54977*y + 54977. Calculate -4*a(n) + 54977*l(n). 4229*n**3 Let z(m) = m**2 + m - 1. Let k(x) = -2. Let b = 41 + -39. Let l(q) = q**2 + q - 18. Let i be l(-6). Suppose 0 = -13*s + i*s - b. Calculate s*z(a) + k(a). -2*a**2 - 2*a Let z(r) = -216*r - r**3 - 28*r - r**2 + 1 + 245*r. Let p(g) = g**3 + 2*g**2 + 4*g - 2. Determine p(t) + 2*z(t). -t**3 + 6*t Let j(g) = -6*g**3 - 2*g**2 - 11*g. Let x be j(-4). Let u = -401 + x. Let c(r) = r**2 + 2. Let y(p) = -3*p**2 - p - 5. What is u*c(k) - 2*y(k)? k**2 + 2*k Let d(s) = -4 - 26*s - 14*s + 63*s - 1 - 18*s. Let m be 6/2 + -7 + 9. Let j(v) = 3*v - 2. Give m*j(p) - 2*d(p). 5*p Suppose 9 = -62*m + 59*m. Let u be (1 + -2 - m)/(4/10). Let q(t) = -t + 2. Let d(o) = -3*o + 4. What is u*q(k) - 2*d(k)? k + 2 Let u(b) = -b. Let k(z) be the first derivative of -13*z**3/6 - z**2/2 + 38*z - 98. Let v(l) be the first derivative of k(l). Calculate -22*u(g) + 2*v(g). -4*g - 2 Let b be (8 + -1 - 126/(-42)) + 1. Let h(v) = v**2 - v - 3. Let z(d) = -3*d**2 + 3*d + 8. Calculate b*h(r) + 4*z(r). -r**2 + r - 1 Let t(i) = -497*i**3 - 15*i**2 - 5*i + 14. Let s(x) = 496*x**3 + 18*x**2 + 6*x - 15. What is -5*s(z) - 6*t(z)? 502*z**3 - 9 Let w(p) = -314*p**3 + 7*p**2 + 3*p - 8. Let o(q) = 235*q**3 - 5*q**2 - 2*q + 6. Give -11*o(f) - 8*w(f). -73*f**3 - f**2 - 2*f - 2 Let j(n) = 61*n**2 + 10*n + 21. Let o(k) = 30*k**2 + 5*k + 9. What is 3*j(c) - 7*o(c)? -27*c**2 - 5*c Let q(v) be the second derivative of 2*v**5/5 - v**4/6 + v**3/3 - v**2 - 2*v + 398. Let o(w) = w**2 - w + 1. Give -6*o(j) - 3*q(j). -24*j**3 Let t(z) = 2*z + 3. Let x(h) = -595*h - 16. Calculate -5*t(m) - x(m). 585*m + 1 Let j(b) = 8*b**2 - 10*b**3 - 3*b**3 + 0*b**3. Let z(q) = 90 + 4*q**3 + 74 - 3*q**2 - 164. Give 3*j(c) + 8*z(c). -7*c**3 Let r(a) = 14*a**3 - 3*a + 3. Let k(f) = -191*f**3 + 22 + 175*f**3 + 5*f + 115*f**3 - 27*f. Calculate -3*k(x) + 22*r(x). 11*x**3 Let y be 10 - (-14)/28*-34. Let d(f) = f**3 - 2*f**2 + 3*f - 10. Let l(n) = 3*n**3 - 7*n**2 + 10*n - 31. Give y*d(v) + 2*l(v). -v**3 - v + 8 Let o(w) = -3*w**3 + 2*w - 7. Let a(j) = -2*j**3 + j - 5. Let h be 1/(-10)*-5*(-4 + 2 + -8). Determine h*o(v) + 7*a(v). v**3 - 3*v Let m(b) = -37*b - 384. Let c(x) = 102*x + 1152. Determine 4*c(a) + 11*m(a). a + 384 Let m(a) = 33*a - 12*a + 7 + 7*a - 19*a. Let s(b) = 1. Determine -m(h) + 4*s(h). -9*h - 3 Let v be 2706/(-132)*(0 + -6)*2. Let b = v + -235. Let m(t) = 15*t - 9. Let k(f) = -8*f + 5. Give b*k(w) + 6*m(w). 2*w + 1 Let q(i) = 12*i. Suppose 0 = -6*w + 10*w + 4*o - 32, -w - 2*o = -14. Let z(d) = -d. Determine w*q(f) - 2*z(f). 26*f Let q(o) = 5*o**2 + 8*o + 72. Let k(r) = -30 - 59*r - 3*r**2 - 24 + 54*r - 18 + 24. Determine 8*k(y) + 5*q(y). y**2 - 24 Let c(i) be the first derivative of -i**2/2 + 4*i - 134. Let u = 25 - 28. Let t(v) = -v + 4. Give u*c(l) + 4*t(l). -l + 4 Let f(k) = 83*k**2 - 8*k - 212. Let d(v) = 28*v**2 - 3*v - 71. What is -8*d(n) + 3*f(n)? 25*n**2 - 68 Let x(n) = -109*n**3 - 87*n**2 - n. Let l(h) = -35*h**3 - 29*h**2. What is 7*l(q) - 2*x(q)? -27*q**3 - 29*q**2 + 2*q Let w(r) = -4*r + 82. Let s(q) = -11*q + 219. Let f(n) = 3*s(n) - 8*w(n). Let d(y) = -5*y - 3. Determine -d(a) + 4*f(a). a + 7 Let b(h) = -7*h**2 - 8*h + 1. Let y = 3467 - 3450. Let k(u) = 22*u**2 + 23*u - 3. Give y*b(o) + 6*k(o). 13*o**2 + 2*o - 1 Let b(x) = x - 49. Let q(t) = 28*t - 113. Give 6*b(h) - 3*q(h). -78*h + 45 Let f(l) = 91*l. Let j(g)
{ "pile_set_name": "DM Mathematics" }
1 + 3*-4*(4*(sqrt(320) + (sqrt(320)*-1 - sqrt(320))) + -2*sqrt(320) + 2))**2. -26496*sqrt(5) + 1659408 Simplify ((3*sqrt(162)*1)/(-1*sqrt(225)))/(-6*((sqrt(48)/sqrt(2) - sqrt(24)) + sqrt(24))*5). sqrt(3)/100 Simplify ((-3*sqrt(91)*-3)/(2*sqrt(700)) + 4*(sqrt(130) + (sqrt(130) - -6*sqrt(130))*1)/sqrt(10))*-1. -649*sqrt(13)/20 Simplify sqrt(19) + (sqrt(19) - (-4 + sqrt(19))**2)*4 - (sqrt(1216) + sqrt(1216)*4)**2 - (sqrt(5700)*1)/(sqrt(12)*-2). -30540 + 79*sqrt(19)/2 Simplify -3*((4 + -1 + sqrt(275) - sqrt(275)) + -2*(sqrt(275) - (sqrt(275) + 0)) + (-2*sqrt(275) + 1 - (-1 + -3*sqrt(275))) + 2)**2. -972 - 210*sqrt(11) Simplify ((-3*(sqrt(1800)*2 + sqrt(1800) - sqrt(1800)) + 5*(sqrt(1800) - sqrt(1800)*-2))/((-3*sqrt(30)*2)/(sqrt(45)*-3)))**2. 54675 Simplify (((sqrt(84) + sqrt(84)*3)*2 + (sqrt(84) - (sqrt(84)*-3 + sqrt(84)))*4)/(sqrt(84)/sqrt(343) - (sqrt(132) + sqrt(132)*1 - sqrt(132))/sqrt(11)))**2. 34300/9 Simplify -4 + -1 + 0 + -2 + -1*((sqrt(121) + 3*sqrt(121))/sqrt(11))**2. -183 Simplify (3*(sqrt(68) - sqrt(68)*3)*-1*-5)/((sqrt(8) + sqrt(64)/sqrt(8))/sqrt(2) + (sqrt(100)*1 - sqrt(100))). -15*sqrt(17) Simplify -3*-1*((1*sqrt(245))**2 + -3 - (-4 + 1 + sqrt(180) + sqrt(180)))*-5. -3675 + 180*sqrt(5) Simplify 2 + (-5 + 3 + -1*sqrt(448))*3 + -1 + ((sqrt(448)*2 + sqrt(448))**2 + 1)*-4. -16137 - 24*sqrt(7) Simplify -3*4*-4*((sqrt(162)*2 + sqrt(162))*-4 + (-4*(0 + sqrt(162) + sqrt(162)) - sqrt(162)))**2*-1. -3429216 Simplify -5*(0 + (-1*(sqrt(891)*1 + sqrt(891)))**2 + (sqrt(176) - (1 + sqrt(176) + (0 + sqrt(176) - sqrt(176))))**2*3). -17835 Simplify 5*((sqrt(70) - (2*sqrt(70) + sqrt(70))*3) + sqrt(70) + -6*-1*sqrt(70))/((sqrt(60)/(-2*sqrt(2)) - sqrt(30))/(sqrt(300)*-1)). -100*sqrt(7)/3 Simplify -2*((2*(sqrt(13) + sqrt(13) + -1) + 2*-1*sqrt(13))*-6)**2 + (3*sqrt(39)*1)/(-2*sqrt(3)*-3). -4032 + 1153*sqrt(13)/2 Simplify (sqrt(450)*6*-2)/((3*sqrt(72)*-2)/sqrt(12)). 10*sqrt(3) Simplify (-4*sqrt(1980)*3)/((sqrt(80)/sqrt(2))/sqrt(2)). -36*sqrt(11) Simplify (sqrt(30)/(sqrt(640) + sqrt(10) - sqrt(10)) - sqrt(108)*3) + (0 + sqrt(15)/sqrt(5) + -5)*-4. -175*sqrt(3)/8 + 20 Simplify ((4*sqrt(896) + sqrt(896) - sqrt(14))*-2)/((sqrt(2100)*3)/sqrt(3))*-1. 13*sqrt(2)/5 Simplify 3*(-1 + -4*(sqrt(360)/sqrt(6)*-5)/(sqrt(576)/sqrt(3))). -3 + 15*sqrt(5) Simplify 4 + 1 + (sqrt(1216) + sqrt(1216) + 0 + 4 + sqrt(1216) - (-4 + (sqrt(1216) + 1)**2)) + -4 + (-2*sqrt(1216)*-1)**2. 8*sqrt(19) + 3656 Simplify ((6*(sqrt(1134) + sqrt(1134)*3) + sqrt(1134))*-6)/((sqrt(567)/(sqrt(18)/sqrt(2)))/((-1*sqrt(63))/sqrt(7))). 1350*sqrt(2) Simplify (sqrt(192) + -5*(2 + sqrt(192)) + (0 + sqrt(192))*-3)**2 + ((sqrt(192) + -3*sqrt(192)*2)**2 - ((2 + sqrt(192))*-4)**2). 608*sqrt(3) + 11172 Simplify 3 + 1*(-2*sqrt(176)*-1)**2 - (2 + sqrt(176) + 3*sqrt(176) + -3 + 1). -16*sqrt(11) + 707 Simplify -4*((2*sqrt(200)*-6*-1)**2 - (5 + (sqrt(200) - (sqrt(200)*2 + 1)))**2)*1. -114336 - 320*sqrt(2) Simplify ((-4 + 2*((sqrt(343) - (sqrt(343) + -3 - sqrt(343))*-2) + sqrt(343)) + 4)*-4 + 0)**2. -10752*sqrt(7) + 90112 Simplify (2*-1*4*((-3 + 0 + sqrt(539) - sqrt(539))*-2 + (sqrt(539) - (sqrt(539) - sqrt(539)*2)*-4 - sqrt(539))*5))**2*3. -322560*sqrt(11) + 41402112 Simplify ((sqrt(99)*2 + -2)*-3)**2 + (sqrt(1584) + -2 + -3)**2 + -4. -336*sqrt(11) + 5205 Simplify (-6*-6*(1 + ((sqrt(121)/sqrt(11) - sqrt(11))*6 - sqrt(11) - (sqrt(22)/sqrt(2) + 3))))**2. 10368*sqrt(11) + 62208 Simplify ((-3 + (sqrt(700) + sqrt(700) + -1 + sqrt(700) + sqrt(700))*3*4*5)*1)**2 + 1. -302400*sqrt(7) + 40323970 Simplify -1*(5*(5 + sqrt(325) + -1) + -1 - -6*((sqrt(325) - (sqrt(325) + -1 + (sqrt(325) - (sqrt(325) + 1)))) + 0 + 1 + sqrt(325)))**2. -40694 - 4070*sqrt(13) Simplify (((5*sqrt(180)*-3)/sqrt(5))/(sqrt(768) - (-2*(sqrt(768) - sqrt(768)*4) + sqrt(768)))*-5)**2*3. 5625/256 Simplify ((-4*sqrt(80)*2 - (sqrt(80) + (sqrt(80) + (sqrt(80) - (sqrt(80) + 2*sqrt(80)*3)) + sqrt(80) - sqrt(80)) + sqrt(80)))/(sqrt(120)/(3*sqrt(432))))**2. 64800 Simplify (sqrt(13) - (sqrt(13) - (1 + sqrt(325)) - sqrt(13))) + sqrt(13) + -5 + 3 + sqrt(13) - (1*3*sqrt(1872)*6)**2. -606529 + 8*sqrt(13) Simplify (sqrt(343)*-2 + 0 + (sqrt(343) + sqrt(343) + 0)*3 + -3 + (3 + (sqrt(343) - -2*(sqrt(343) + 1*sqrt(343))) + 3)*4)**2. 7056*sqrt(7) + 198009 Simplify ((4*(sqrt(65) - (sqrt(65) - sqrt(65)*2)) + (sqrt(65) - sqrt(65)*1*-3))*6)/(4*sqrt(245)*-2*6). -3*sqrt(13)/14 Simplify -5 + ((sqrt(120)/(sqrt(8)/sqrt(4)*-3))/(4*-1*sqrt(1452)) + -5)**2. -5*sqrt(5)/66 + 348485/17424 Simplify -2*6*((sqrt(152)*-1*-6)/sqrt(8) - ((sqrt(228)*2)/sqrt(12) - sqrt(19)*1*4)**2)*4. -288*sqrt(19) + 3648 Simplify (1*5*1*(-5*sqrt(171)*2 + -3)*-2)**2. 18000*sqrt(19) + 1710900 Simplify (sqrt(252)/sqrt(192) - (-6*sqrt(189) + sqrt(21)))/(sqrt(7) + (sqrt(7)*-1*-4 - sqrt(7)) + (sqrt(28)*1 - sqrt(7))). 69*sqrt(3)/20 Simplify (1*-2*(-6*2*(-3 + sqrt(80)) + -5))**2 + 5 + 1. -11904*sqrt(5) + 49930 Simplify 2 + 1*sqrt(304) + sqrt(304) + (2*(sqrt(304) - sqrt(304)*-1))**2 - (sqrt(171)*1*1)/(sqrt(729) - sqrt(729)*-1)*-1. 145*sqrt(19)/18 + 4866 Simplify (5 + 3*sqrt(3) - (6*(-2 + sqrt(3)))**2) + (sqrt(216)/(1*sqrt(8)))/(sqrt(90)/(-1*sqrt(10))) + -4. -251 + 146*sqrt(3) Simplify (((6*1*sqrt(735) - sqrt(735)) + sqrt(735))*-5)/((sqrt(5) - -5*-3*sqrt(5)) + (-2*sqrt(35))/sqrt(7)). 105*sqrt(3)/8 Simplify (0 + (sqrt(10) - (sqrt(90) - sqrt(10)))/sqrt(5))*-4 - ((-3 + sqrt(242))**2 - (sqrt(2) - (sqrt(2) + -1)*5)**2). -194 + 30*sqrt(2) Simplify (2*(3 + 3*((1*sqrt(147))**2 - sqrt(147))*5) + 2)*5*-3. -66270 + 3150*sqrt(3) Simplify ((-1 + sqrt(700) + sqrt(700) + -1 - (sqrt(700) + -1)*-2 - -5*5*(1 + sqrt(700)))*2 + 1)**2. 49880*sqrt(7) + 2356649 Simplify (2*(-1 + 3 + sqrt(20)/(sqrt(40) + sqrt(10)) + (-5 + sqrt(2) + -1 - -4*sqrt(6)/sqrt(3))**2) + -2)*-1. -174 + 358*sqrt(2)/3 Simplify ((-3*sqrt(189) - sqrt(21)) + sqrt(21))/(sqrt(112) + sqrt(112)*3) + (sqrt(18) + (sqrt(18) - sqrt(180)/(sqrt(10) + sqrt(360))))/sqrt(6)*-3*3. -1935*sqrt(3)/112 Simplify -5*(sqrt(117) - (-1*sqrt(117))**2)*-5*-4 + (-6*(2 + (sqrt(637) + 1)*3))**2. 7260*sqrt(13) + 218988 Simplify 6*(-3*(-1 + 1 + -2 + sqrt(2) - sqrt(20)/(1*sqrt(490))))**2*2. -2592*sqrt(2)/7 + 28944/49 Simplify 2*(sqrt(13) + -1 + -3 + -1)**2 + 0 - (5*(sqrt(78)*-3 - sqrt(78) - sqrt(78)) - sqrt(78))/((sqrt(6) + sqrt(384))*2). -167*sqrt(13)/9 + 76 Simplify (sqrt(40) + sqrt(400)/(sqrt(110)/sqrt(11)) + sqrt(40) + -2*sqrt(40)*-2)/((-1*sqrt(4536))/(sqrt(847)*-1)). 77*sqrt(5)/9 Simplify ((sqrt(84)/sqrt(3))/sqrt(2))/((sqrt(84)*-1 - sqrt(84))/sqrt(12)) + (sqrt(1458) + 0 + -1)**2. -109*sqrt(2)/2 + 1459 Simplify -5*(sqrt(1216) + 1) - (5 + (-1*sqrt(1216))**2 + sqrt(1216)) - (sqrt(114)/(-3*sqrt(216)))**2*-1. -397205/324 - 48*sqrt(19) Simplify 3*sqrt(20)/(1*(sqrt(4) + (sqrt(4) - (sqrt(4) + sqrt(100)))) + sqrt(4)) + (sqrt(3200) + (sqrt(3200) - sqrt(3200)*-2))/(sqrt(40)*-2). -9*sqrt(5) Simplify 2 + 3*((-2*sqrt(76))**2 - sqrt(76)) + -3*sqrt(304)*-4. 42*sqrt(19) + 914 Simplify (1*sqrt(1792) + (1*sqrt(168))/sqrt(6))/((-1*sqrt(4000))/((sqrt(70)*1)/sqrt(7))). -9*sqrt(7)/10 Simplify ((sqrt(55) + 2*sqrt(6655) + (sqrt(55) - (sqrt(1375)*-1 + sqrt(55) + sqrt(55) - sqrt(55))) + sqrt(55))/(sqrt(99)*1*-5) + 3)**2. -58*sqrt(5)/5 + 1246/45 Simplify -5 + (-2*-4*(sqrt(12) + sqrt(60)/sqrt(5) - sqrt(12)))/(sqrt(20)/(sqrt(5)*-2*5)). -80*sqrt(3) - 5 Simplify -4 + -5 + (((sqrt(68) - (1*sqrt(68)*-1 + sqrt(68))) + (2*sqrt(68) - sqrt(68))*3)*2)/((6*sqrt(56)/sqrt(2) - sqrt(28))/sqrt(7)*-2). -9 - 4*sqrt(17)/5 Simplify (4*(1*-1*sqrt(84) + sqrt(84))*-4)/(sqrt(972) + (sqrt(972) - (sqrt(972) + (sqrt(972) + (sqrt(972) - sqrt(972)*-2))*-2 - sqrt(972))) + 6*sqrt(972)*-1). 0 Simplify (sqrt(64)*-1)/(sqrt(98) - (sqrt(98) + -1*sqrt(98))) + (-2*sqrt(22)*5)/(2*(sqrt(11) - sqrt(44)/sqrt(4)) + sqrt(11)). -74*sqrt(2)/7 Simplify -2*1*(-4 + 5 + 1*sqrt(147) - ((sqrt(147) + 1 - sqrt(147))*6 + sqrt(147)*-1*3)). -56*sqrt(3) + 10 Simplify ((sqrt(816) - sqrt(51))*2 + 3*sqrt(1836))/(-3*sqrt(9)/sqrt(147)*4). -14*sqrt(17) Simplify (-3 + 3 + (0 + -4*(1*sqrt(1216) - sqrt(1216)) - 5*sqrt(1216)*-2*4))**2. 1945600 Simplify 6*((-1*sqrt(343) + 0 - (sqrt(343) - (sqrt(343) - (-5 + -3*sqrt(343))))) + 3*(-3 + (sqrt(343)*2 - sqrt(343)) + -4))**2. -6720*sqrt(7) + 52986 Simplify ((-2*sqrt(140)*-3*-2)/(-2*sqrt(28)/sqrt(4) + sqrt(448)*-2))**2. 80/9 Simplify (1*-6*sqrt(171)*-
{ "pile_set_name": "DM Mathematics" }
qrt(1088))*-6)*-4)**2. 1382400*sqrt(17) + 62798400 Simplify (0 + 0 + -2*((-3 + sqrt(272) - sqrt(272)) + 0 + 1) + 3)**2. 49 Simplify -4*(sqrt(14)/(-3*sqrt(2)) + 2*sqrt(7)*-1 - (sqrt(189)/sqrt(3) + -5 + 0)). -20 + 64*sqrt(7)/3 Simplify (-1 + (1*sqrt(891))**2 + 3 - 5*((sqrt(891) + 2)**2 + 2)) + -5. -3597 - 180*sqrt(11) Simplify -5 + ((1*sqrt(162))**2 + 4 - (5 + (4 + sqrt(200))**2 + sqrt(8))). -82*sqrt(2) - 60 Simplify (sqrt(95) + (sqrt(95) + sqrt(95)*3 - sqrt(95))*5)/(sqrt(25)/(sqrt(30)/sqrt(6))) + ((3 + sqrt(684) + 0 - (5 + 1*sqrt(684)))*-6)**2. 16*sqrt(19) + 144 Simplify ((sqrt(1088) + -5 + sqrt(1088)*1)**2 + sqrt(1088)*1 + -4 - (-1 + (sqrt(1088) - (3*(sqrt(1088) + 0) - sqrt(1088)) - sqrt(1088)) + 1)**2)*1. -152*sqrt(17) + 21 Simplify (2 + sqrt(396) + sqrt(396) + -5 + 0 + -2*5*3*sqrt(396))*5. -840*sqrt(11) - 15 Simplify (3 + (sqrt(432) - (sqrt(12)/sqrt(4)*2)**2 - (sqrt(81)/sqrt(144))/(sqrt(192)*-1)))*-4. -385*sqrt(3)/8 + 36 Simplify (sqrt(63) + (sqrt(126)*1)/sqrt(2) + (sqrt(6300)*3 - sqrt(6300)))/((sqrt(270)/(sqrt(6)*-1))/(sqrt(10)/(sqrt(2) - sqrt(18)))). 11*sqrt(7) Simplify (sqrt(735)*1*3*1)/(-4*(sqrt(3) + (sqrt(3) - sqrt(30)/(5*sqrt(10))))*-1). 35*sqrt(5)/12 Simplify (sqrt(147) + (sqrt(147) - (sqrt(147) + 2*(sqrt(147) + -1)**2)) + 0 - (-3 + -4 + (sqrt(147) + 2*sqrt(147) - sqrt(147))))*4 + 4. -1152 + 84*sqrt(3) Simplify 1 + (sqrt(85)*-1*3)/(sqrt(20)*3 + sqrt(5)) + 6*(sqrt(17) + (-1*sqrt(17))**2 + 4 - sqrt(17)) + (sqrt(17) - (sqrt(68) + 2))*5. -38*sqrt(17)/7 + 117 Simplify (1*(sqrt(2299)*3 + 1)**2 + ((sqrt(19) - sqrt(1216)) + 5)**2 + sqrt(114)/sqrt(6)*4)*5. 108240 Simplify (-1*(sqrt(320) - (sqrt(320)*-1 + 4)) - 1*(sqrt(5) + 0)*-3*-3)**2. -200*sqrt(5) + 3141 Simplify 1 + (sqrt(228) - -1*sqrt(228))/sqrt(12) + -2 + (sqrt(475) - ((sqrt(475) + (5 + sqrt(475) - sqrt(475)))*-5 + sqrt(475)))**2. 1252*sqrt(19) + 12499 Simplify 0 + 4 + (sqrt(72) + -1)*-1 + -1*sqrt(72)*-1 + 0 + -2. 3 Simplify -5 + (((0 + sqrt(147))*3 + 2*sqrt(147)*-5)*1*-2)**2*5. 144055 Simplify 5*((sqrt(1584) - (sqrt(1584) - (3 + sqrt(1584) + -1))) + sqrt(1584) + sqrt(1584) - (-4 + sqrt(1584) + sqrt(1584) + 0) - (sqrt(1584) + -3)*1*-4)**2. -3600*sqrt(11) + 198180 Simplify ((-2*(2 + sqrt(637) + 0) - (sqrt(117) - ((1 + sqrt(117) - sqrt(117)) + sqrt(117) + -5) - (sqrt(117) + -3*sqrt(117)*-1))) + 3)**2. 20*sqrt(13) + 77 Simplify (1 + 4 + -3 + 1*sqrt(80)*1 + 4 + 4)**2. 80*sqrt(5) + 180 Simplify (((-2*sqrt(34)*1)/(sqrt(64)/sqrt(2)) - (-3*(sqrt(425) + sqrt(425) + 4 + sqrt(425) + sqrt(425)) + 5))*-1)**2. 833*sqrt(17) + 240933/4 Simplify 1*((-2*sqrt(864)*2)/(-1*sqrt(800) + sqrt(128)) + 2)**2. 16*sqrt(3) + 52 Simplify ((2*sqrt(130)*-5 + (sqrt(130)*2 + sqrt(130))*-1)/((sqrt(100) + -5*(sqrt(100)*-1 - sqrt(100)))/(sqrt(100)/sqrt(40))))**2*-4. -2197/121 Simplify (-4*((sqrt(270)/sqrt(9) - sqrt(30))*4*6)/(sqrt(42)/sqrt(175) - (sqrt(216)*1 + sqrt(216))))**2. 0 Simplify -4 + (-5*(sqrt(216) - (6*(-2*sqrt(216) + sqrt(216) - sqrt(216)) + sqrt(216))))/((sqrt(4000)*-2)/(sqrt(500)*2)). -4 + 180*sqrt(3) Simplify ((((sqrt(70)*1)/sqrt(10) + 4*sqrt(1008) - (6*(sqrt(77)*2 + sqrt(77)))/(-2*sqrt(1584) - sqrt(1584))) + 4)*-6)**2. 14256*sqrt(7) + 618039 Simplify -1*(-1*(-3*sqrt(720) - sqrt(720)) + (sqrt(720) + sqrt(720) + sqrt(720) + 2)*1 + sqrt(720) + -5 + 0)**2. -46089 + 576*sqrt(5) Simplify -1 + 5 + 3*sqrt(171) + 4 + (5*sqrt(171)*-2 - sqrt(171)). -24*sqrt(19) + 8 Simplify -4 + sqrt(44) + 0 + sqrt(275) + 5 - (2 + (sqrt(704)*1 + sqrt(704) - ((sqrt(1584) - sqrt(1584)*1) + sqrt(1584) - sqrt(1584))**2)). -9*sqrt(11) - 1 Simplify ((sqrt(77) - (-1*sqrt(77) - sqrt(77)))*-3 + 2*sqrt(77)*2)/(sqrt(891)*4 - (sqrt(385)/sqrt(7))/sqrt(5)). -sqrt(7)/7 Simplify ((-6*(sqrt(70) + sqrt(70) + 4*sqrt(70)*2 - sqrt(70)*1*-5))/((sqrt(200)/(sqrt(16)/sqrt(4)))/(2*(sqrt(180) - sqrt(5)))))**2. 5670000 Simplify 6*(-1*sqrt(39)*-2)/((sqrt(3) + sqrt(12)/sqrt(4))*3) - (5 + sqrt(1300) + (sqrt(1300) - (sqrt(1300) + 3 + 1*sqrt(1300))))**2*-1. 4 + 2*sqrt(13) Simplify ((sqrt(120) + 3*sqrt(120)*-4)/sqrt(12)*6)/(6*sqrt(405)*-3*-3). -11*sqrt(2)/81 Simplify (1*(0 + sqrt(720) + sqrt(720))*-6*-1 - -4*((sqrt(720) + 1 + sqrt(720) - sqrt(720))*-1 + 5))**2. 3072*sqrt(5) + 46336 Simplify (((sqrt(153) - -6*(-2*sqrt(153) + sqrt(153)))*4)/(6*sqrt(1296)*-3)*-4 + -3)**2*-2. -16522/729 - 40*sqrt(17)/9 Simplify (5 + sqrt(133)/(2*sqrt(7))*5)**2 - (-3 + 5 + (sqrt(304)*1)**2). -649/4 + 25*sqrt(19) Simplify (-4*sqrt(180)*-2*2 + -5 + (sqrt(180) - (5*sqrt(180)*-1 + sqrt(180))))*5. -25 + 630*sqrt(5) Simplify (1*sqrt(84)*-3 + (sqrt(84) - (sqrt(84) + -3*(sqrt(84) + 2*sqrt(84)))))/(-6*sqrt(144)/(sqrt(3)*2)). -sqrt(7) Simplify 1*(2 + (((sqrt(304) + 2 - sqrt(304)) + 5 + (sqrt(304) + -1 + sqrt(304)*-2 - sqrt(304)))*-1)**2*-2). -2502 + 192*sqrt(19) Simplify ((sqrt(2695)*6 - sqrt(2695))*6)/(sqrt(180) - sqrt(180)*2 - sqrt(25)/(sqrt(30)/sqrt(6))). -30*sqrt(11) Simplify 3 + (-5*(sqrt(30)/sqrt(5) - sqrt(6)) + (sqrt(6) - (sqrt(36) + sqrt(108)/sqrt(3))/sqrt(6)))/((-2*sqrt(768))/sqrt(4)*-4). -sqrt(2)/64 + 3 Simplify (1*sqrt(1224)*4*-3)/(3*-3*(sqrt(18)*-2 - sqrt(2))). -8*sqrt(17)/7 Simplify (-3*(3 + (5 + (-2 + sqrt(8) - (-1 + 1*sqrt(2))))*1)*-6)**2. 4536*sqrt(2) + 16524 Simplify 4*(-2 + 2 + sqrt(2448))*6 + -3 + 1 + 2. 288*sqrt(17) Simplify 1 + (sqrt(209) - sqrt(209)*2*6)/(1*sqrt(11)*1) + (sqrt(19) + sqrt(304) + -2 - (3*(sqrt(38)/sqrt(2))**2 + sqrt(19))). -58 - 7*sqrt(19) Simplify (sqrt(425) + -1 - sqrt(17)) + (-4*sqrt(17)*6 - sqrt(17)) - (1*(-3 + (sqrt(17) - (sqrt(17) + sqrt(68))) - (-5 + sqrt(17) + 1)))**2. -155 - 15*sqrt(17) Simplify (2 + sqrt(1539) + 2 + (-5 + (sqrt(1539) - 2*sqrt(1539)) - sqrt(1539)) + (2*(sqrt(1539) + 1) - sqrt(1539)) + (sqrt(1539) + 0)*-1)**2. -18*sqrt(19) + 1540 Simplify (sqrt(114) + 6*-3*sqrt(114))/((sqrt(180)/sqrt(6))/sqrt(5) + sqrt(6)) + 2*-1*(sqrt(2736)*1 + -2) + -4. -65*sqrt(19)/2 Simplify (3*-3*(sqrt(102) + (sqrt(102) - (2*sqrt(102) - sqrt(102))) - sqrt(102)))/(sqrt(66)/(sqrt(11) + sqrt(11)*3) - sqrt(96)*-5). 0 Simplify (((sqrt(70) - (sqrt(70) + (sqrt(70) - sqrt(70)*-1) + sqrt(70)))/sqrt(7))/(sqrt(32)*2) + 1*(-1 + sqrt(180)) + 3)**2 + -2. 45*sqrt(5)/2 + 10253/64 Simplify 4 + 1 + 4*((sqrt(2) - sqrt(18)*-4)**2 + sqrt(8)*-4 - 3*((sqrt(2) - 1*sqrt(2))*-3 + sqrt(288)*-2)). 256*sqrt(2) + 1357 Simplify ((sqrt(2) + sqrt(2) + 0)*-4)**2*1 - ((sqrt(72) - ((-1*sqrt(72))**2 + sqrt(72))) + 1) - (-2 + 2*sqrt(882)*-2 + sqrt(882))**2. -7743 - 252*sqrt(2) Simplify 4*(-1*(-2*(2 + sqrt(171))*2 - (-5 + sqrt(171)*2 + sqrt(171) + -4 + (sqrt(171)*1 - sqrt(171)))))**2. -168*sqrt(19) + 33520 Simplify 2 + (((1 + sqrt(2448))*5 - (-6*sqrt(2448)*2 - sqrt(2448))) + -5 + 0)*6. 2 + 1296*sqrt(17) Simplify -4 + 0 + sqrt(2299) + (0 + sqrt(2299))**2 + -1 + (-1*sqrt(2299)*-2 - -6*(-1 + sqrt(2299)))**2. -1045*sqrt(19) + 149466 Simplify ((sqrt(637) + 6*(sqrt(637) - (sqrt(637) + 5*sqrt(637))))**2 + (6*(sqrt(637) + 3))**2 + 4)*5. 7560*sqrt(13) + 2794885 Simplify -2*(2*(-4*-2*sqrt(432) - sqrt(432)))/(5*sqrt(4)*1 + (sqrt(4) - (sqrt(4) - sqrt(36)/sqrt(144)))). -32*sqrt(3) Simplify (2 + sqrt(605) - (-2 + sqrt(5)*3) - (sqrt(80) - (0 + (sqrt(80) + sqrt(80) + 1)**2) - (-2*sqrt(80) + -2)**2)) + 4. 52*sqrt(5) + 653 Simplify (((-1 + (sqrt(4)/sqrt(2) + 5 - sqrt(2) - (sqrt(24)/sqrt(3))/sqrt(4)))*-3 + -4)*-3)**2. -864*sqrt(2) + 2466 Simplify (sqrt(1134) - (sqrt(1134) - sqrt(1134)*-2))/(3*sqrt(2)*-2 + sqrt(2)) - (3 + -4 + -2 + sqrt(343)). -17*sqrt(7)/5 + 3 Simplify 4*(-3*(-6*(sqrt(2) + (sqrt(2) - sqrt(216)/sqrt(12)) + sqrt(2)))**2 + (-3 + (sqrt(550)*1 + sqrt(550))/sqrt(11))**2). -240*sqrt(2) + 836 Simplify 3*(sqrt(75) + ((sqrt(75) - (-1 + sqrt(75)))*-4 - sqrt(75))**2)*-5 - (-4*sqrt(882))/(sqrt(6) - (2*sqrt(48))/sqrt(8)). -1365 - 703*sqrt(3) Simplify (5*6*sqrt(133)*-4*3)/((-1*sqrt(343)*2 - sqrt(343) - sqrt(343) - sqrt(343))*-4). -18*sqrt(19)/7 Simplify (4 + sqrt(1100) + 3 + -3*(sqrt(1100) + -1)**2 + (3 + (sqrt(1100) + sqrt(1100) + sqrt(1100) + -1)**2)*-5 + 4)*-6. -2220*sqrt(11) + 316872 Simplify (1*(6*(5 + sqrt(68) + sqrt(68)*-2) - 2*(3 + -1*sqrt(68)))*-1)**2. -384*sqrt(17) + 1664 Simplify ((sqrt(126) - -2*(sqrt(126) + sqrt(126)*-2 - sqrt(126)))/(sqrt(144) - sqrt(9)))/((sqrt(32) - (sqrt(224)*1)/sqrt(7)) + sqrt(128)*3). -sqrt(7)/24 Simplify -5 + (-4 + 2*(5 + (0 + sqrt(1300) - sqrt(1300))) + (0 + sqrt(1300) + 3 - (0 +
{ "pile_set_name": "DM Mathematics" }
t -0.4, g, -3 in descending order. g, -0.4, -3 Let z(c) = -c**2 + 5*c + 171. Let l be z(16). Put 234, l, -1 in increasing order. l, -1, 234 Let z = -901 - -4504/5. Sort z, -5, 1 in increasing order. -5, z, 1 Let g(l) = l + 10. Let v be g(-9). Suppose 12*y = 4*y - 88. Let d be ((-2)/(-1))/((-2)/(-3)). Sort y, d, v. y, v, d Let x(i) = -i**2 - 3*i - 2. Let g be x(-4). Let t = 1 - -2. Let v = t + -4. Sort g, 0, v in decreasing order. 0, v, g Let k = -719 + 722. Sort 9, k, -4 in ascending order. -4, k, 9 Suppose -64 = 198*j - 182*j. Put -2/13, -0.5, j, 0.38 in decreasing order. 0.38, -2/13, -0.5, j Let x = 140 + -139.7. Put -1, x, -9 in decreasing order. x, -1, -9 Let c = 3 - 6. Let p(w) = -3*w - 7. Let q be p(c). Suppose -q*i - 5*d = 5, -2*i + 1 = -2*d - 1. Sort -1, i, 1 in ascending order. -1, i, 1 Suppose i = 6*i + 10. Let p(g) = -g**2 + 2*g + 21. Let a be p(6). Put i, 5, -7, a in ascending order. -7, a, i, 5 Let m(v) = v**3 + 10*v**2 - 25*v + 8. Let z be m(-13). Sort 3, -1, z in descending order. 3, -1, z Suppose -5*p - 5 = -3*y - 6*p, -4 = 4*p. Put 12, -4, y, 1 in increasing order. -4, 1, y, 12 Suppose 4*f = -c + 15, 5*f + 0*f = -4*c + 5. Let k be (45/(-27))/(f/(-6)). Suppose k*w + r - 12 = 0, 3*r - 4 = 2*r. Sort 3, w, -3. -3, 3, w Suppose -7 = 2495*g - 2488*g. Let p be -2 + 0/(3 + -1). Put -7, -4, g, p in descending order. g, p, -4, -7 Let f(l) = 5*l + 30. Let a be f(-7). Put a, 27, 4 in ascending order. a, 4, 27 Suppose -11 = 2*c + 25. Let f be 7 - ((-4)/(-18) + (-50)/c). Sort -2, 0, 2, f in ascending order. -2, 0, 2, f Let k = 11.1 - -0.9. Let j = -10 + k. Sort j, 4, -1/7 in descending order. 4, j, -1/7 Suppose -2*b - 14 = -12. Put b, 9, 3, -5 in descending order. 9, 3, b, -5 Let w = 2282 - 2277. Put 0, 2, w, 8 in descending order. 8, w, 2, 0 Let b = 395 - 390. Put -0.11, b, -23 in descending order. b, -0.11, -23 Let d = 5312/15 - 354. Let u = 0.24 - -4.76. Let r = 0.1 + -1.1. Sort r, u, d. r, d, u Let i = -16 - -16. Suppose -4*r + 4 = 2*h, 4*r = -i*h + h + 10. Suppose j - 6 = r*j. Put j, 3, 0 in descending order. 3, 0, j Let n = 475 + -519. Sort 3, -2, n. n, -2, 3 Suppose -b + 4*q = -10, -3*b + 6*b + 4*q = -2. Put 4, 5, -6, b in increasing order. -6, b, 4, 5 Suppose 0 = 5*d + 5*b - 9 - 166, 3*d - 95 = -b. Suppose d*o - 21*o - 45 = 0. Put -4, o, 4, -2 in ascending order. -4, -2, 4, o Let w = 0.5 - -2.5. Let q be 2/(-1)*(-85)/10. Suppose -2*h = -5*a + a + 4, 0 = -a - 4*h - q. Sort 4/3, a, w. a, 4/3, w Let z be ((-2560)/(-728))/16 - 1/13. Let d = 73/4 + -18. Sort 2, d, z, -0.1 in increasing order. -0.1, z, d, 2 Let l = -1 + 3. Suppose -3*k - 12 = 0, 10*f - 5*f + 4*k - 9 = 0. Suppose -12*n + 28 = -f*n. Put l, -1, n in decreasing order. n, l, -1 Suppose 0 = i + 5, 3*h - 2 - 5 = -i. Let y be 19/(-1) + 560/56. Put y, 1, -3, h in descending order. h, 1, -3, y Suppose 0 = 3*n - 0*n + 15. Let a = -3811 - -3808. Sort 5, a, n, 12. n, a, 5, 12 Let a = 1 - -7. Let i = a - 8. Put i, 5, -1, 4 in increasing order. -1, i, 4, 5 Let k(z) = 8*z - 1. Let m be 2 + (4 + -3)*-1. Let n be k(m). Let l be 0/(((-24)/4)/2). Put l, 2, n in descending order. n, 2, l Let z = 2793 + -2788. Put z, 1, 118 in decreasing order. 118, z, 1 Let a = -41 - -46. Suppose -34*h - 90 = -39*h. Put 4, h, a, 1 in decreasing order. h, a, 4, 1 Let a = 1 + 0. Let w = -0.3786 + -0.1214. Put -1/4, a, w in increasing order. w, -1/4, a Let n = -7203.5 + 7203. Let z = 7 - 10. Let v = z + 3.5. Sort n, v, -0.1 in decreasing order. v, -0.1, n Let o be (-2)/12*(-3 - 1/1). Sort 5, o, -5, 13 in decreasing order. 13, 5, o, -5 Let v = 33 - 69. Let n be ((-284)/154)/((-128)/v). Let j = n - 3/112. Sort j, -2/7, 0.4 in ascending order. j, -2/7, 0.4 Let c = -86/455 - 1/91. Sort -1, c, -0.09, -3 in ascending order. -3, -1, c, -0.09 Let x be (-2934)/(-10) + (-8)/20. Let d = 3811/13 - x. Sort 1/2, 3, d. d, 1/2, 3 Let z = -1159/7 + 165. Let m = 2424 + -2420. Let v = -2 + 1.9. Sort v, z, m. z, v, m Let q be 989/473 + (3 - 102/33). Let y = -33 - -15. Let n be (-2)/(-9) - 14/y. Put q, -2, n in descending order. q, n, -2 Let w be (3/(1*-27))/1. Let g(c) = -c**2 - 5*c - 3. Let d be g(-2). Put d, w, 4 in ascending order. w, d, 4 Let t = 38.9 - 33.9. Put -4/3, t, -2 in descending order. t, -4/3, -2 Let u(a) = -a**3 - 21*a**2 - 44*a - 116. Let w be u(-19). Put w, -4, -3, 4 in descending order. 4, w, -3, -4 Suppose 0 = 31*h - 32*h + 4. Let b = 10 + -14. Sort b, h, -8. -8, b, h Suppose f + f = 10. Let q be (-26 + 0)/(-5 + 3). Let z = q - 23. Sort 2/3, f, z in decreasing order. f, 2/3, z Let g(p) = -27*p - 159. Let a be g(-6). Sort 2/5, a, 5, -2 in ascending order. -2, 2/5, a, 5 Let o = -657 - -652. Put 3, 9, -3, o in ascending order. o, -3, 3, 9 Suppose 0 = -5*y + 13*y + 32. Sort 45, y, -5 in ascending order. -5, y, 45 Let o = 29 - 30.1. Let r = o - 2.9. Put 7, 2, r in descending order. 7, 2, r Let h be 3/(-2)*(-1 + 3). Let x be 3*h*1/(-1). Let j = 886 + -884. Sort x, -1, j in ascending order. -1, j, x Suppose -w - 5 = 4*o, 3*w = 4 - 7. Sort o, -4, 1, -13 in ascending order. -13, -4, o, 1 Let j be (-3 - -6)*(-20)/(-3). Let g be (4/(-8))/((-2)/j + 0). Put 3/5, 2/7, -2/7, g in ascending order. -2/7, 2/7, 3/5, g Let h(z) = z**2 - 8*z + 8. Let b be h(6). Sort -2, b, -14, 3 in decreasing order. 3, -2, b, -14 Let q = -255 + 258. Sort q, 5, -1, 6 in decreasing order. 6, 5, q, -1 Let p(m) = -m**2 - 12*m + 3. Let r be p(-12). Suppose -2*s = -2*x - 2*x + 24, r*s + 36 = -x. Put 0, 5, -4, s in increasing order. s, -4, 0, 5 Let c(a) = 2*a - 6. Let h be c(4). Suppose -4 = -3*q + h*q. Let o = -0.1688 - -0.2688. Put o, q, 3 in ascending order. o, 3, q Let x = -0.1 - 0.9. Let n be (6071/910)/((-46)/(-4)). Let j = n + -1/115. Sort j, -1/2, x in decreasing order. j, -1/2, x Let u(s) = -s - 1. Let k(o) = o**3 - 6*o**2 - 7. Let j(r) = -k(r) + 6*u(r). Let b be j(5). Sort 3, b, 0 in decreasing order. 3, 0, b Let g(s) = -s**3 + 72*s**2 - 65*s - 421. Let l be g(71). Sort l, -13, -1, 12 in descending order. 12, l, -1, -13 Let a = -1.91 + 1.71. Sort a, -5, 2/41, -0.4. -5, -0.4, a, 2/41 Suppose 4 = -4*u - 0*u. Let f be (-1 + 1)/(0 - -2). Let h(g) = -g**3 - 12*g**2 - 31*g - 1. Let n be h(-4). Put f, u, n in descending order. f, u, n Let b = 0.19 - -4.81. Let g = 0 + 0.5. Let w be (-1)/2*(-12)/(-39). Sort b, w, g. w, g, b Suppose 0 = -2*x - 0*x + 4. Suppose 0 = -5*p - 3*k + 5*k + 22, 0 = 2*p + 4*k - 4. Suppose 4*t = 16, 2*z - p*t = -z - 28. Sort x, z, 1. z, 1, x Let l be 3 + -1 - 5*-4. Let h = l + -41/2. Let g = -43.46 - -48.46. Put -0.4, h, g in descending order. g, h, -0.4 Let a be 4 - (23 + (-9)/(-3)). Let d = 49 - 23. Let z = d + a. Put 5, -6, z in descending order. 5, z, -6 Let m = -0.2 + 0.23. Let a = -0.564 - 0.436. Sort m, 1/3, a. a, m, 1/3 Suppose 7*t = 3*t. Suppose p - 3*n + 13 = 2*n, 2*p + 4*n - 2 = t. Let i = p - 2. Put 3, i, 0 in decreasing order. 3, 0, i Let g be ((-3)/(-6))/(4/(-16)) + 4. Suppose b + 3*b - 12 = 0. Suppose 0 = b*f - 12. Sort -4, f, g in ascending order. -4, g, f Let l(z) = -8*z**2 - 13*z + 7. Let g(x) = -x**2 - x + 1. Let k(v) = 6*g(v) - l(v). Let r be k(-4). Sort -6, 1, r in descending order. r, 1, -6 Suppose 3*w + b - 37 = 0, b = 2*w - 3*b - 6. Let d = 10 - w. Let g(r) = -r**3 + r**2 + r + 5. Let x be g(0). Sort x, d, -2. -2, d, x Let m = -535 - -532. Let x = 7 - 5. Let l = x - -2. Put 2, m, l in ascending order. m, 2, l Let h = 27 + -49/2. Let x(i) = -i**2 - 3*i + 13. Let q be x(-5). Let j(m) = m**3 - m**2 - 5*m - 5. Let f be j(q). Sort f, -2/13, h. f, -2/13, h Let o = -549 - -577.9. Let r = o - 31. Let a = 5.1 + r. Put -3, a, 1 in ascending order. -3, 1, a Let x(g) = 4*g - 1. Let k be x(1). Let f be -7 + 4 - (-1 + -3). Suppose -6*n = -18 - 6. Put n, k, f in ascending order. f, k, n Suppose -3*a + 5 = -2*o - 11, -3*o - 14 = -2*a. Suppose 10 = 2*d + 6. Sort a, 0, 12, d. 0, d, a, 12 Let p be (-2)/(-6)*1/(-4). Let h be (-9)/4 + (-9 - 528/(-64)). Sort h, p, 0.2 in increasing order. h, p, 0.2 Let p = 1.1 - 0.8. Let s = -4.475 + -1.525. Put s, p, -2 in increasing order. s, -2, p Let n(g) = 4*g - 4. Let u be n(2). Suppose 7*q + 2*c = u*q + 9, -4*q - 3*c = -13. Let z = 0 - -2. Put 4, q, z in increasing order. q, z, 4 Let j = -77.5155 - 0.1845. Let o = -78 - j. Put 4/3, o, -0.5 in descending order. 4/3, o, -0.5 Let f = 23
{ "pile_set_name": "DM Mathematics" }
he biggest value in d, j, -0.5? j Let q = -50 - -49.7. What is the smallest value in q, 3, -0.049? q Let z be 16/(-12)*1/6. Let t = -17/2 - -8. Which is the biggest value? (a) z (b) t (c) -11 a Let d = 1.822 - 0.022. Let r = -3.2 - d. What is the biggest value in r, 0.03, 4, -3? 4 Let i be (1/3)/(146/365). What is the third smallest value in 1.8, i, -2/15? 1.8 Let j = -54 + 38. Suppose 2*p - 4*q - 7 = -p, -4*p + 12 = -4*q. Which is the second smallest value? (a) p (b) j (c) 1/5 c Let u = 12.3 + -19.1. What is the third smallest value in 4/7, u, -4? 4/7 Let g = -1100 - -1092. What is the third biggest value in -2, g, 9.5? g Let k = -10 - -7. Let s = -31 + 35. Let y = 37 - 77/2. What is the third smallest value in y, k, s? s Let f = -1478 + 1481. Which is the second smallest value? (a) f (b) -3.3 (c) -16 b Let f = 169 + -136.8. Let i = -32 + f. What is the third smallest value in i, -8, -2/9? i Let h = 0.376 + -0.476. Which is the fourth smallest value? (a) h (b) 0.5 (c) -13 (d) -1/2 b Let j be (10/40)/(30/8 - 3). Which is the second biggest value? (a) 3 (b) j (c) -4 (d) 6 a Let g be ((-25)/20)/((-1)/4). Let j = 5 - 11. Which is the biggest value? (a) -4 (b) g (c) j b Let f = 1.56 + -2.16. What is the second biggest value in -3, -2, f? -2 Let g = -94 + 89. Which is the third smallest value? (a) g (b) -1 (c) 0.3 (d) 2/7 d Let u = 1.9 + -5.9. Which is the third smallest value? (a) 4 (b) u (c) 1/2 a Let k = 0.4517 + -0.0517. What is the third biggest value in -1, -12, 0, k? -1 Let i = 642 + -646. Which is the second biggest value? (a) 17 (b) i (c) -3 c Let v = -146.2 - -147.1. Which is the fourth smallest value? (a) v (b) -5 (c) 0 (d) 0.5 a Suppose 196 - 486 = -58*k. Let f = 0 + -1. Which is the smallest value? (a) 2 (b) f (c) k b Let q = 200 - 2001/10. Which is the third biggest value? (a) q (b) -5 (c) 0.4 (d) 0.11 a Let u = 14.1 - 7. Let a = 7 - u. Let v be (1 - 0)*1*3. What is the second biggest value in 0.2, a, v? 0.2 Let p be (-4248)/(-20) - (-4)/(-10). Let l be (4*(-12)/p)/(-2). Let m = -453/212 - l. Which is the biggest value? (a) -4 (b) 4 (c) m b Let f = 151 + -93. Let o = f - 57.7. Which is the fourth smallest value? (a) 3 (b) -2/5 (c) 5 (d) o c Let t be (-145)/45 - 2/(-9). Let u be (-128)/24 + (-1)/t. Which is the biggest value? (a) 4 (b) 2/7 (c) u a Let j = -2/31 - 27/62. Let f be (-63)/(-1080)*9*1/3. Let z = f + 31/280. What is the smallest value in z, -4, j? -4 Let l = -9.1 - -9. Suppose 14 = -4*y + 2. Which is the smallest value? (a) l (b) 1 (c) y c Let t = -0.036 - -22.036. Let u = -32 + t. Let m = u - -5. Which is the smallest value? (a) m (b) -1/7 (c) 5 a Let b = -8251/115 - -357/5. Let w = 10/161 + b. Let k be 4 + -6 + 20/11. What is the second biggest value in 7, w, k? k Let k = -20.8 - -20.8. What is the third smallest value in -0.379, k, -2? k Let q = -0.41 + 0.01. Let s = 378.6 + -376.5. What is the second biggest value in 0, q, s, 0.4? 0.4 Let x = -2/93 - 20/31. Let o = 1072 + -1065. Which is the third biggest value? (a) -0.1 (b) x (c) -5 (d) o b Let g = 3.44 + -0.44. Suppose 25 = 2*u + 3*u, 4*m - 11 = 5*u. Let c(s) = s**3 - 8*s**2 - 10*s + 8. Let l be c(m). What is the smallest value in l, g, -12? -12 Let l = -284.1 + 284. What is the biggest value in l, 0.4, -3, -4? 0.4 Let t = -1622 + 1621. Which is the fourth smallest value? (a) t (b) 2/7 (c) -0.07 (d) 0.2 b Suppose -64*n + 70*n = 18. Let k be 1 - ((-22)/(-10) - (n + -2)). Let j = -1 - -1. What is the second biggest value in k, -1, j? k Suppose 0 = -3*i - 9 + 12. Which is the second biggest value? (a) 2/9 (b) i (c) 0.25 c Suppose 12 = -4*t + 3*r - 12, -2*r + 11 = -t. Which is the smallest value? (a) t (b) -4/3 (c) 1/15 (d) 4 a Let h = -1.069 - -1.469. What is the second biggest value in 0.1, h, -3.8, -2? 0.1 Let j = 16 + -17.6. Let p = -1.1 - j. Let l = 1.04 + -0.04. Which is the third biggest value? (a) p (b) l (c) -2/27 c Let h = 397 - 1589/4. What is the third smallest value in -5, -0.5, h, -50? -0.5 Suppose 0 + 6 = 2*m. Let q be (-158)/(-1185)*3/2. What is the second biggest value in q, m, -2? q Suppose 0 = -z - 24 + 26. Let g = 39 + -27. Which is the third smallest value? (a) g (b) z (c) -1/8 a Suppose q = -2*q - 18. Let d be q*4/32*-4. Let y = d - 8. Which is the second smallest value? (a) 0.2 (b) -0.1 (c) y b Let j = 1597 + -1601. Which is the third smallest value? (a) 5/14 (b) -5/2 (c) j (d) -4/9 d Let p = 284.5 + -286. What is the third biggest value in 0.8, p, -0.2? p Let v be 158/(-18) - (-102 - -93). What is the third biggest value in v, -0.2, 39? -0.2 Let d = 120.3 + -114. Let m = -6 + d. Let s = 0.061 + 1.939. Which is the smallest value? (a) 5 (b) s (c) m c Let m = 2.09 - 2.19. Which is the second smallest value? (a) 3/2 (b) m (c) 28 (d) 1 d Let y(v) = v**3 - 6*v**2 - 8*v + 5. Let w be y(7). Let t = 20 - 38. Let z = 24 + t. What is the third biggest value in 4, z, w? w Let u = 20.5 + -0.5. Let i = -19.7 + u. Which is the smallest value? (a) i (b) -5 (c) 0.1 b Let m(g) = 12*g**2 + 3*g - 1. Let y be m(1). Let f be 6/y - (5 - 5). Which is the smallest value? (a) f (b) -1/8 (c) 2 b Let r = 3 + -3.2. Let h = -61 + 61.43. Let l = h - -0.07. Which is the second smallest value? (a) r (b) 4 (c) l c Let h = -0.52 + 0.22. Let k = h + 2.3. Which is the third biggest value? (a) k (b) -1 (c) 0.07 b Let v be 3/2*-2*76/(-6). Suppose -3*p - 53 + v = 0. Which is the third biggest value? (a) -0.2 (b) 0.4 (c) p c Let t = -0.007 + -27.993. Let g = t + 27.8. Which is the second smallest value? (a) -3/4 (b) g (c) 1 b Let m = 0.07 + 0.93. What is the third smallest value in -2, m, -5? m Let v = 297 + -191.3. Let n = 106 - v. What is the fourth biggest value in n, -1/7, 0.2, -1? -1 Let g = -2 + 6. Let p = -5 + g. Let i = 23.1 + -23.17. Which is the biggest value? (a) i (b) -4 (c) p a Let h = 2104.6 + -2105. Let k = 2.8 - -0.25. Let f = k + -0.05. Which is the smallest value? (a) h (b) f (c) 3/4 a Let g = -19.1 - -2.1. Let j = -33 + 50. Let t = g + j. What is the biggest value in -0.5, t, -2/5? t Let h(g) = 26*g - 129. Let x be h(5). Let v(l) = -4*l + 1. Let u be v(-2). Let z be (-3)/u*3/(-2). Which is the third smallest value? (a) -1 (b) x (c) z b Let w be -7 - -1 - (-1360)/238. Which is the third biggest value? (a) 1 (b) 3 (c) w (d) -1 c Suppose -28*q + 17*q = -33. Which is the fourth smallest value? (a) q (b) 0.02 (c) -5 (d) -9/4 a Let m = 2405 - 2406. Which is the second smallest value? (a) m (b) -2 (c) 5 (d) 1 a Let u = 0.7 - 1.1. Let d = 0.153 + 3.847. Which is the second biggest value? (a) d (b) u (c) 3 c Let i = 255.9 + -256. Which is the third biggest value? (a) 4/9 (b) i (c) -2/17 c Suppose -5*q + 2*u = 17 - 2, 0 = -2*q + 2*u. Suppose 2*a - 3*x + 82 = 0, a + 0*a + 51 = 4*x. Let d = a + 104/3. What is the second biggest value in q, d, 3? d Let k = -0.4 + 4.4. Let r = -246.6 - -246.5. Which is the smallest value? (a) r (b) 2/3 (c) k a Let k = -919/1254 - -34/57. What is the fourth biggest value in -4, 2/7, -2/3, k? -4 Let f = -20 - -23. Let m = 4.6 + -2.6. Let g = 1.2 + -1.09. Which is the biggest value? (a) g (b) f (c) m b Suppose 3*r - 9*r - 48 = 0. Which is the second biggest value? (a) r (b) -2 (c) 0 (d) 2 c Let n = 19.3 - 18.33. Let y = -0.17 + n. Let q = y + -0.9. Which is the second smallest value? (a) 1 (b) 3 (c) q a Let j = -0.3 + -1.7. Let o = -337.15 - -333.15. What is the second smallest value in o, j, 5, 6/7? j Let s = -275.963 - -275. Let n = s - 0.037. Let y = 0 + 0.4. What is the third biggest value in n, -5, y? -5 Suppose -78 = -69*s + 43*s. Which is the biggest value? (a) -0.3 (b) -1 (c) s c Let p be 4/8 - 12261/34. Let f = p + 360. Which is the third smallest value? (a) 2/7 (b) 4 (c) f b Let z = -239/96 + -1/96. Let p = -1 - -7. Let g = p - 8. What is the third biggest value in g, -4, z? -4 Let x be (-1 + 37 - 1) + -1. Let r be 2/2 + 2*1098/(-63). Let f = r + x. Which is the third smallest value? (a) 0.4 (b) f (c) 5 c Let k = 709/88 - 63/8. Suppose 33 = 4*u + 3*s, -u = -s - 2 - 8. Let f be u/(-9) + 3/1. What is the second smallest value in k, 2/9, f? 2/9 Let i = 96.1 - 95.9. What is the third bi
{ "pile_set_name": "DM Mathematics" }
1 Suppose -2*w = 29 + 3. Let f = -20 - w. Let z(o) = -9*o - 9. What is the units digit of z(f)? 7 Let s = 11 - 3. Let v(t) = -t**3 + 8*t**2 + 13*t - 15. What is the units digit of v(s)? 9 Let h = 1284 - 795. What is the tens digit of h? 8 Let y be -2 + 0 + (-1 - 0). Let t(f) = -f**3 - 3*f**2 - f + 2. Let n be t(y). Suppose 4*k = -n + 169. What is the units digit of k? 1 What is the units digit of (5 - 9944/8)/(2/(-3))? 7 Let o(b) be the second derivative of b**6/90 + b**5/60 + b**4/12 - 5*b**3/6 + 3*b. Let a(w) be the second derivative of o(w). What is the tens digit of a(-3)? 3 Suppose 2*j - 26*i = -31*i + 1812, 0 = -4*j - 5*i + 3624. What is the hundreds digit of j? 9 What is the tens digit of 1551 - (6/(-2) - -5)? 4 Let m(p) = p**2 - 3*p + 2. Let b(v) = -v**3 + 8*v**2 + 10*v - 3. Let q be b(9). Suppose -3*j = 3*a - q, 0*a = -2*a + j + 13. What is the tens digit of m(a)? 1 Let d(c) be the first derivative of -11*c**2 - 10*c + 38. What is the tens digit of d(-8)? 6 Let d(c) = 3*c**2 - 12*c + 28. Let u be (0 - 14)*2/(-4). What is the units digit of d(u)? 1 Suppose 8 = -0*o + o + 4*m, 2*o - 2*m - 6 = 0. Let f(z) = z**3 - 4*z**2 + 4*z + 6. What is the tens digit of f(o)? 2 Let p(i) = -i**3 - i**2 - i - 9. Let q be p(0). Let u = q + 19. What is the tens digit of u? 1 Suppose 3*t + 2*c + 10 = -3*c, 5*c = -25. Let l = t - 23. Let z = 25 + l. What is the units digit of z? 7 Suppose -2*o + 3*o - 44 = i, 0 = i - 5*o + 44. Let w = -40 - i. What is the units digit of w? 4 Suppose 25*b + 16610 = 47*b. What is the hundreds digit of b? 7 Let t(i) be the first derivative of -i**4/4 - 17*i**3/3 - 19*i**2/2 - 19*i - 7. What is the tens digit of t(-16)? 2 Let y = -874 - -1569. Suppose d - y = -4*d. What is the tens digit of d? 3 Let t(k) = 63*k + 336. What is the units digit of t(4)? 8 Let k = -912 + 1660. What is the hundreds digit of k? 7 Let p(u) = 4*u**3 + 4*u**2 - 7. Let n be p(3). Suppose -4*t + 389 = -c - n, -4*t = -4*c - 532. What is the tens digit of t? 3 What is the thousands digit of -2*(5 - 2) - (-1519 - 2)? 1 What is the units digit of ((-80)/28)/(26/(-4823))? 0 Suppose -13*c = 6*c - 2223. What is the hundreds digit of c? 1 Let p(d) = -62*d + 24. Let k be (9/(-12))/(3*(-2)/(-24)). What is the tens digit of p(k)? 1 Let d be (292/8)/((-6)/(-12)). Let c = d - 6. What is the tens digit of c? 6 Let y = 3635 + -1034. What is the hundreds digit of y? 6 Suppose 4*j = -20*j + 14736. What is the hundreds digit of j? 6 Let v = -3803 + 5389. What is the units digit of v? 6 Let g(u) = 2*u - 1. Let k be g(2). What is the units digit of 91 + 1 + 1 + k? 6 Suppose f - 41 = w, -4*w + 121 + 75 = 4*f. Let c(z) = 20*z + 164. Let y be c(-8). Suppose g + f = y*g. What is the units digit of g? 5 Suppose 2*h + 3*q = 7*q + 24, 2*h + 4*q = 0. Let c be (-18)/10*(1 - h). Suppose -5*y + 89 = c. What is the units digit of y? 6 Let h = -4 - 11. Let s be 5/(h/(-9)) + 43. Suppose -s = -2*v + 3*u, -7*v - 3*u + 115 = -2*v. What is the tens digit of v? 2 Let l(p) = -p**3 - 7*p**2 - 5*p - 17. Let g(v) = -v**3 - 9*v**2 + 3*v + 20. Let q be g(-9). What is the tens digit of l(q)? 1 Let j be (-3 + (-6)/(-1))/1. Let n = j - 9. What is the units digit of 9 + n - (-17 - 0)? 0 Suppose 8*s = 32*s - 2424. What is the tens digit of s? 0 Suppose -w = -5*w + 916. Let u = -161 + w. What is the tens digit of u? 6 Suppose 4*u - 677 = 3*g, g + 15 = -4*g. What is the tens digit of u? 6 Let x = -16 - -14. Let v(w) = -12*w**2 + w - 1. Let t be v(x). What is the tens digit of 1*3 - t/3? 2 Let c = -12 - -29. What is the tens digit of (c/5 - 1)*(-8 + 13)? 1 Let a(k) = -k**3 - 6*k**2 - k + 7. Let s be -2*3 + 4 + -3. Let q be a(s). Let b(p) = -2*p - 3. What is the tens digit of b(q)? 2 Let b(f) = 9*f**3. Let w be b(1). Suppose w*x - 6*x = 123. What is the units digit of x? 1 Let m(y) = 20*y - 9. What is the hundreds digit of m(15)? 2 Let n be (-2)/8 + (-236)/16. Let w = -14 - n. What is the units digit of w? 1 Let a(l) = -l**3 + 2*l**2 + l + 140. What is the units digit of a(0)? 0 Suppose -5*r + p + 3846 = -4134, 5*r - 3*p - 7980 = 0. Suppose 0 = 40*l - 34*l - r. What is the units digit of l? 6 Let j(g) be the second derivative of 11*g**4/3 + 2*g**3/3 + 5*g**2/2 - 13*g. What is the tens digit of j(-2)? 7 Let r(k) = k**3 + 17*k**2 + 17*k + 3. Let v be r(-16). Let p = 17 + v. Suppose -6 = -p*q - 2*t, -t + 8 - 2 = 3*q. What is the units digit of q? 3 Suppose -4*x + 275 = 2*j - 519, 0 = -2*j + 4*x + 818. What is the units digit of j? 3 Let k(w) be the first derivative of w - 6. Let q(i) = 12*i + 3. Let z(o) = -3*k(o) - q(o). What is the tens digit of z(-4)? 4 Let m(f) = 26*f - 69. What is the units digit of m(7)? 3 Suppose l - 214 = 3*k + 364, 3*k + 1716 = 3*l. What is the hundreds digit of l? 5 Let p = 502 + -330. What is the units digit of p? 2 Let l be (-8 - -4) + 0 - 1. Suppose -2*g - 3*g + 100 = 5*w, -4*w + g + 70 = 0. Let o = w - l. What is the tens digit of o? 2 Let b be (15/(-10))/3*-186. Let z = 192 - b. What is the tens digit of z? 9 Suppose 281 = 9*g - 7. Let t = -29 + g. What is the units digit of (4*14)/(t + -2)? 6 Let l(g) = 12*g**2 + 9*g - 35. What is the tens digit of l(6)? 5 Let q(d) be the second derivative of -d**5/2 - d**4/4 - d**3/3 - 2*d**2 - 13*d. What is the tens digit of q(-3)? 4 Suppose -2*s + 5026 = q, 3*s - 12*q = -8*q + 7561. What is the hundreds digit of s? 5 Let s be (24/(-16))/((-6)/92). Let n = 28 - s. What is the units digit of n? 5 Let n = 44 + -5. Suppose -159 + n = -4*w. What is the tens digit of w? 3 Let b(v) = -v**3 + 5*v**2 - 3*v - 4. Let u be (9 - 4)*(-8)/(-10). Let d be b(u). Suppose d = -5*w + 212 + 13. What is the tens digit of w? 4 What is the hundreds digit of 450/(-12)*58/(-3)? 7 Let k(o) = -4*o - 3 - 2 - 2. Let y(h) = 7*h**3 - h**2 - 3*h - 1. Let u be y(-1). What is the units digit of k(u)? 7 Let s = -592 - -1009. What is the hundreds digit of s? 4 Let u(l) = 4*l**2 + 8 - 7*l**2 + 7*l**2 - 3*l**2. What is the units digit of u(-9)? 9 Let v(x) = x**3 - 5*x - 10. Let r be v(-4). Let k = r - -76. What is the units digit of k? 2 Let z be ((-7)/(-4))/((-2)/(-56)*-1). What is the hundreds digit of (z - 3 - 1)/((-3)/6)? 1 Let r(g) = -g**2 - 22*g + 2. Let z be 1*((-27)/(-63) - (-143)/(-7)). What is the units digit of r(z)? 2 Suppose 0 = -8*d + 3*d + 15. Suppose -w - 13 = 3*x, d*w + 15 = -5*x - 12. Let y(p) = p**3 + 4*p**2 + 5. What is the units digit of y(w)? 5 Suppose -148*j = -155*j + 140. Let d = -2 - -12. What is the tens digit of (-19)/(-2) + d/j? 1 Suppose 10*d - 2*z - 6056 = 8*d, -2*d + 6036 = 2*z. What is the hundreds digit of d? 0 Let p be (0 - 10)/(16/(-64)). Suppose p - 310 = -3*v. What is the units digit of v? 0 Let g be (-2)/(-3) - (3 + (-326)/6). Let x = g + 24. What is the units digit of x? 6 What is the tens digit of (-10)/(-20) - (-1089)/6? 8 Let g = -186 + 566. What is the units digit of g? 0 Suppose 4 = 2*n - 4. Suppose 3*z + 4*t = 53, 3*z = -z + n*t + 108. Suppose -22*g = -z*g + 47. What is the units digit of g? 7 Let h(z) = -58*z + 64. What is the units digit of h(-6)? 2 Suppose -o + 3*d = -111, 7*d = -4*o + 2*d + 410. Suppose 0*q - o = -3*q. What is the tens digit of q? 3 Let j = -901 + 1326. What is the units digit of j? 5 What is the hundreds digit of 9138/14 + (-22)/(-847)*11? 6 Let l = 180 - 113. Suppose r + l = k, -k + r = 6*r - 91. What is the tens digit of k? 7 Let w be (-15176)/(-12) - (-4)/(-6). What is the units digit of (w/(-40))/(4/(-10))? 9 What is the tens digit of (83 + -14)/(3/8)? 8 Suppose 0 = 12*w - 15188 - 52384. What is the hundreds digit of w? 6 Suppose 0 = -3*g + q + 142, 122 = 3*g - 0*q + 4*q. Suppose 2 = -2*z + g. What is the tens digit of z? 2 Suppose l + 3*l - 696 = 0. What is the tens digit of l? 7 Let i = 129 + -87. What is the units digit of 7*4/i*117? 8 What is the units digit of 862 - (-4 + -7 + 4)? 9 Let w(s) = s - 6. Let r be w(6). Suppose -a = -r*a - 174. What is the tens digit of a? 7 Suppose -5*n = -4*c - 48, -2*n = 3*c - c - 12. Let a(k) = 6*k - 37. What is the tens digit of a(n)? 1 Let n(c) = 2*c**3 - 35*c**2 + 50*c - 35. What is the thousands digit of n(19)? 1 Let w(h) = h**3 - 9*h**2 + 15*h - 7. Let y be w(8). Suppose y*j + 405 = 46*j. Let q = -80 - j. What is the tens digit of q? 5 Let q be 52*((-5)/(-15))/(
{ "pile_set_name": "DM Mathematics" }
5 - -103) 45 What is (0 + 4 - (1 + 43)) + -1428 + 1420? -48 What is the value of 11 + -147 - (7 + -27) - (-4 + -12 - -1)? -101 What is -2 + -2 - (633 + -606 + -4 + -1)? -26 Calculate (23 - (0 - 2)) + -2 + -45 + (17 - -33). 28 Evaluate -11 - (-13 + (57 + -68 - (70 + -2))). 81 Calculate 69 + (-77 - -41) + -19 + -1. 13 What is the value of -1 + -18 - (-362 - -355) - 37? -49 What is the value of 2 + -5 - -63 - (2 - 30 - (55 - 72))? 71 -18 - ((164 - 142) + 3 + -96) 53 What is (10 - (20 - -1)) + -1 - (-39 + 5)? 22 -15 - (3 - (-8 - -14 - 2)) -14 Calculate 172 - 203 - (-9 + 33). -55 -57 + 21 + -78 + -34 + 58 -90 (6 - (1 + 7)) + 8 - 0 - (-19 - -63) -38 What is the value of 74 - (-1 + -14 - -27) - 23? 39 What is the value of 101 + 12 + (52 - 182)? -17 What is the value of -19 + (-30 - -2 - (-199 - -185))? -33 What is (-27 - (35 + -18 + -48)) + 67? 71 Calculate 6 + 23 + 2 + -43. -12 Calculate ((21 - 41) + -87 - -10) + 8. -89 What is the value of -4 - ((-58 - -66) + 10 + 0 - -5)? -27 Calculate (70 - (15 + 114)) + -2 + 5 + 0. -56 What is -6 - (2 - (0 + 3) - 2) - -6 - -65? 68 1 + 60 + 48 + -95 14 What is the value of 0 + -55 - (33 + -52 + 2 - (2 + -22))? -58 Calculate (-44 - -42) + -56 - -23. -35 Calculate -38 - 38 - (-99 - -92). -69 What is 23 - (11 - 8) - 27 - (-1 + -7) - 2? -1 Evaluate -67 + (0 - -7 - (12 + 2 - (52 - 42))). -64 What is the value of (-1 - -109) + 2 + 3 + 7 + 22 + -31? 111 Calculate -18 - (-67 - ((-5 - -18) + -17)). 45 What is the value of (-2 - -2) + 14 - (-1078 - -1117)? -25 What is the value of -2 + 32 + (-1 - 26) + (28 - 11)? 20 -29 + 89 + -64 - (-7 - (-2 + 0 - -2)) 3 What is 72 - 2 - ((-4 - -2) + (-6 - (17 - 36)))? 59 What is -6 + (20 - (2 - (4 - 6 - -6)))? 16 Calculate 26 + 4 + -21 - (4 + 8 + 5) - -111. 103 -3 + 6 + 5 + 1 + -10 + -3 -4 What is 15 + -5 + 11 + (-56 - -116) + -51? 30 1 - (-7 + 40 + -13 - 7) - 2 -14 What is -848 - -813 - ((-1 - -2) + -2 - -11)? -45 Calculate (-7 - (2 + -15 - (-6 + -16 + 26))) + 36. 46 Calculate -4 - (0 + -7) - (10 - 8) - (-8 + -34). 43 Evaluate -78 - -19 - (-8 + -2 + 7 + -4). -52 What is the value of -1 + -10 - (-82 + -24)? 95 (54 - (-65 - -139) - (-32 + -3)) + -69 -54 -11 - -1 - (-8 + -15) - -35 48 (-53 - -16) + -87 + 23 -101 What is 6 - (7 - (1 - 5)) - (31 + -18 - -15)? -33 Evaluate (54 - -19) + -63 + -38 + 2. -26 -58 + 1 + (4 - (-12 + 3)) + -5 -49 What is the value of -3 - (-7 + 4) - ((98 - -51) + -50)? -99 8 - (-60 + 21 + 37 - (-72 - 0)) -62 (-19 - (35 + -47 - (-1 + 2))) + 49 43 Calculate 36 - (-6 + 20 + (-11 + -7 - -5)). 35 What is the value of -57 + (-42 - (-157 + 55))? 3 What is the value of 11 + 1 + (1 - (-1 - -4)) - (-207 - -270)? -53 Evaluate (-42 - 1 - (-167 - -164)) + -3 + 11. -32 Calculate 34 - (20 - -5 - (22 - 13)). 18 What is the value of (61 + 45 - -28) + -65? 69 What is the value of (14 - (-10 - -7) - 4) + (-9 - -31 - 16)? 19 What is the value of 22 + 9 + -14 + -61? -44 (-2 + -62 - (-3421 + 3387)) + 22 + -1 -9 -10 - 45 - (28 - 124) 41 What is (4 - -4 - 0 - (76 + 14)) + (11 - -1)? -70 What is -41 + -3 + 40 + -41? -45 What is 18 - (0 + 0) - (-11520 - -11597)? -59 What is 19 + 8 + 17 + -29 + -12? 3 19 + -7 + 47 + -34 + 22 47 Calculate -1 + (38 + -29 - -2 - 36). -26 ((-14 - -15) + 17 - (-9 - -1)) + 7 + -2 31 Evaluate 5 + 5 + -14 - (-2 + -7 + 2 + 1). 2 What is the value of 27 - -12 - (3 + -5 + 11)? 30 Calculate 22 + (-151 + 86 - 20). -63 Calculate -68 + 33 - (-45 - 26). 36 What is the value of (-127 - (-62 - (13 + -19))) + 1 + 1? -69 What is the value of (23 - (-3 - -22)) + -14 - 13? -23 What is the value of -486 - -380 - (2 + -71)? -37 Evaluate -2500 + 2493 + (0 - -72). 65 Evaluate 6 - ((9 - -1) + (25 - 29) - 17). 17 Evaluate 1 + -3 + -23 + -20 + 14. -31 What is 14 + -13 + (8 - 17) + 8 + -4? -4 What is 104 + -11 + -19 + -173? -99 Calculate (-2 - 0) + 1 + 1 + -7533 + 7526 + -38. -45 Calculate (80 - 32 - 40 - (1 - -11) - 6) + 76. 66 Evaluate -8 + (23 - (13 + 10)). -8 (0 + (-23 - (15 - (-7 + 11))) - 1) + 8 -27 Evaluate 49 - (3 + -2 + (-132 - -135) + -1 + -14). 60 What is the value of 3 - -65 - (-10 + 22) - 34? 22 Calculate -53 + (-46 - (-67 - 3)). -29 Calculate 12 - 21 - 21 - (-1 - 22). -7 Calculate 21 - (-8 - (4 - 10)). 23 2835 + -2883 + (19 - 2) -31 Evaluate 62 - (-66 + 92 + -9). 45 What is the value of -2 + -46 - (2 + -14 - (-163 - -141))? -58 What is (379 - (334 - 99)) + (-1 + 1 - 14)? 130 Calculate 10 + 1 + 17 + -7 - -18. 39 What is 20 + -85 + 25 + 49? 9 What is the value of 8 - (-333 + 319 - (-22 - -1) - (-3 + 0))? -2 What is the value of -21 - (32 + 3 + 31 + -28)? -59 What is 1008 - 969 - (9 + -6 - 5)? 41 What is -5 + -27 - 1 - -50? 17 -2 - 0 - (0 + (4 - (18 + -19))) -7 8 + 34 + -8 - -19 53 Evaluate (-19 + 98 - 26) + 33. 86 Evaluate 215 - (136 - (58 - 43)). 94 What is the value of 3 - -4 - (-6 - (14 - (22 - 13)))? 18 What is the value of -3 - -2 - 69 - (-245 - -265)? -90 (40 - 17 - (6 + 6)) + -2 + -18 -9 What is (12 - ((-2 - -4) + -3)) + 1907 + -1913? 7 Calculate (-11 - 182) + (47 - (-21 + 18)). -143 (1 - 1) + (13 - 1) + (-128 + 141 - 14) 11 What is -138 + 121 + -4 - (-3 - -14)? -32 What is the value of -1 - -9 - (43 - (30 - 4)) - 62? -71 Calculate -77 + 215 + -174 - (5 + -1). -40 Evaluate -62 - (2 + -16 + (-5 - ((22 - 7) + -23))). -51 What is the value of (180 - 156) + 5 + (0 - -2) + -5? 26 What is the value of -2543 - -2564 - (17 + -1)? 5 -5 - -12 - (-20 - (-19 - 7)) 1 What is the value of 7 - 0 - (9 - (14 - (-27 - -31)))? 8 Calculate (-294 - -377) + (-1 + -1 - 2) + -101 + 103. 81 What is the value of -24 + (27 - -7) + (4 - (-4 + 5 + -58))? 71 Evaluate 86 - ((1 - 35) + (655 - 636)). 101 Calculate (348 + -350 - (1 - (5 - 0))) + (-10 - -3). -5 Calculate 0 + 22 + (-303 - (-66 - 112)). -103 Calculate 7 - (-112 - (-3 + -90)). 26 Evaluate 8 + (-7 - (14 - 8)) + -14 + 16 + 98. 95 Calculate -11 - (-126 - -22 - -59). 34 Evaluate 0 + -21 + (88 + -90 - -16) - (-2 + -112). 107 Calculate -9 + (-39 - (-76 + 50)). -22 What is 13 + -45 - -18 - -11 - -8? 5 Calculate -164 + 237 - (199 + -28). -98 Evaluate 46 + -64 - (1 - (-30 - 18)). -67 Evaluate 0 - -54 - (-5834 - -5947). -59 Calculate 17 - (-20 + 30 - -117) - (8 + -25). -93 Calculate 22 + -30 + -14 - -27 - (-2 + 1 - 26). 32 21 + (10 + -39 - -7) + 27 26 What is the value of (-17 + 26 - -64) + -116? -43 Calculate (8 + -46 - 4) + -13. -55 Evaluate 22 - (-37 - -16 - -33 - -92). -82 What is the value of -49 + 26 + 185 + -87? 75 What is the value of -47 - (-71 - (-69 + -66))? -111 What is 111 + (-11 - (14 + 14 + -22)) + -16? 78 -99 + -2 - (3983 + -3983) -101 What is (-5 - 8) + (19 - 37) + 47? 16 (-60 - (56 - 89)) + -27 + -1 -55 (29 - (8 - -7)) + -9 + (6 - -1) + -1 11 16 + (3 - (146 - 37)) -90 Calculate 38 - (6 - (-35 + 69 - 15)). 51 What is the value of (-31 - -15 - -2) + 6 - -69? 61 What is 72 + (50 - 65 - 33)? 24 -66 + 150 + -164 + 69 -11 Evaluate 19 - ((240 - 188) + (-11 - 0)). -22 Evaluate 42 - 58 - (21 + 1). -38 Calculate 1 + -2 - (-14 + (2 - -6) + -1) - 29. -23 What is (12 - 0) + 3400 + -3406? 6 Calculate -280 + 152 + -94 - -136. -86 Evaluate -41 + (-43 - (51 - 139)). 4 What is the value of -365 + 443 + (51 - 15)? 114 What is 2 + 1 - (4 - (-20 + 18 - -8) - -51)? -46 Calculate (-12 - (8 - (1 - 1 - -8))) + 2. -10 Calculate 4781 - 4779 - (-48 - -2 - -4). 44 Calculate -21 + 25 + 2 + -2. 4 What is the value of (2752 - 2706) + 1 + 3 + 1 + -2? 49 Calculate (-42 + -20 - 6) + -6 + 14. -60 120 + (24 - 41) + -8 - 7 88 What is the value of -7281 + 7304 + 1 + 2? 26 What is the value of 11 + 6 + 8 + -14 - (11 - 13)? 13 What is -7 - 5 - -67 - (-10 - -17)? 48 0 + -29 - ((-121 + 60 - -14) + 30) -12 What is the value of -5 + (-23 - 10) + 54 + -70? -54 (5 + 0 + -23 + 11 - -1) + 18 12 Calculate 56 + (-69 - -50) + -105. -68 Calculate 20 + -1 + (199 - 181). 37 Calculate 111 - (17 + (14 - (16 + -10 + 16)) - 11). 113 Evaluate (-5 - 4) + (4 - -3) + (-5 - -6) + 4. 3 What is the value of ((16 - 23) + 9 - (-13 - (7 - 3))) + -2? 17 What is the value of (-62 + 0 - 19) + 80? -1 Evaluate -175 + 108 + -19 - -84. -2 What is the value of (-19 + 35 - 14 - 12) + 15? 5 What is -153 - (-319 + 163) - (-2 + 3 - (-1 - 75))? -74 What is the value of 1 + 14 + (-8 + 17 - 8)? 16 Calculate -5 + (0 - (6 + -65)) + 35 + -19. 70 -58 + 129 + -47 + 39 63 Calculate (-55 - 1) + 4028 + -4000 + (-1 - 40
{ "pile_set_name": "DM Mathematics" }
g + 155179 - 77590. Let m(t) = -237*t - 6. Calculate m(s(v)). -237*v - 6 Let i(n) = -17*n. Let q(x) be the second derivative of -1 + 11/3*x**3 + 2*x + 0*x**2. Determine i(q(y)). -374*y Let o(y) = -6*y**2 + 12*y**2 - 2*y**2 - 3*y**2. Let w = -11 - -19. Let m(q) = -w + 8 - 5*q + 3*q. What is m(o(i))? -2*i**2 Let b(s) be the second derivative of -3*s**3/2 + 5*s**2 + 48*s. Let z(c) = 8*c - 8. Let x(i) = -4*b(i) - 5*z(i). Let j(k) = -k. Calculate j(x(a)). 4*a Let o(v) be the first derivative of v**2/2 - 957. Let y(q) = 28*q**2 - 29. What is y(o(m))? 28*m**2 - 29 Let a(c) = -14883*c. Let n(f) = -2*f + 1393. Calculate n(a(i)). 29766*i + 1393 Let a(f) = -f**2. Let z(x) = 5583865*x. What is a(z(u))? -31179548338225*u**2 Let v(y) = -12 + 4 + 8 - y. Let l(f) = f. Let c(n) = l(n) - v(n). Let i(r) = -3*r - 4. Let q(a) = -3*a - 3. Let s(z) = -3*i(z) + 4*q(z). Determine s(c(j)). -6*j Let a(o) = 30*o**2. Let m(q) = -10*q + 10. Let d(c) = -c + 2. Suppose -30 = -11*y + 5*y. Let t(j) = y*d(j) - m(j). Calculate a(t(h)). 750*h**2 Let p(j) = 2*j. Let k(d) = -61*d + 117*d + 1497*d. What is p(k(i))? 3106*i Let l(b) = -133*b. Let i(r) = 21*r + 12*r + 20*r - 68*r + 12*r. Calculate i(l(u)). 399*u Let j(u) be the second derivative of -73*u**7/504 - u**4/12 + 25*u**3/3 - 275*u. Let w(h) be the third derivative of j(h). Let i(d) = -d. Give i(w(m)). 365*m**2 Suppose -5*d + 30 = 5*u, 4*u - 3*d + 5 - 1 = 0. Suppose -3*t = -u - 181. Let y(x) = -61 + 4*x + t. Let o(f) = -18*f**2. Calculate o(y(g)). -288*g**2 Let m(k) = -k**2. Let r(s) = -7*s + 0*s**2 - s - 4*s**2 + 9*s**2. Let b(w) = -27*w**2 + 41*w. Let x(y) = 2*b(y) + 11*r(y). Calculate x(m(a)). a**4 + 6*a**2 Let l(y) = -80*y. Let o(g) = -6*g**2. Let h(x) = 2*x**2. Suppose 0 = -2*u + 2*p + 4, u + 5*p + 22 = -0*p. Let v(c) = u*o(c) - 5*h(c). What is l(v(d))? -160*d**2 Let f(n) be the third derivative of -n**6/80 - 25*n**4/24 - 5*n**2 - 2. Let v(x) be the second derivative of f(x). Let b(r) = 7*r**2. Determine v(b(j)). -63*j**2 Let w(h) = -4*h. Let o be (-12)/9*6/4. Let u be -2 - 2 - (o/2 + -5). Let c(l) = -5*l**2 + 2*l**2 - 6*l**2 + u*l**2. Calculate c(w(t)). -112*t**2 Let v(j) = -58*j - 32. Let k(d) = -18*d - 10. Let t(z) = -16*k(z) + 5*v(z). Let n(a) = -3030*a. Determine n(t(b)). 6060*b Let h(t) = -9*t**2. Let m(p) = 504*p**2 - 24*p + 15. Calculate m(h(z)). 40824*z**4 + 216*z**2 + 15 Let q(l) be the first derivative of 105*l**2 + 4051. Let b(y) = 10*y. Determine b(q(u)). 2100*u Let o(s) = -2*s**2 + 0*s**2 - 4*s**2. Let x(z) = -3*z - 5. Let q be x(-9). Let j(m) = 12 - 6*m + 10 - q. Calculate j(o(v)). 36*v**2 Let m(l) be the first derivative of -68*l**3 + 1162. Let n(z) = z. What is m(n(j))? -204*j**2 Let v(o) = -o. Let s = 358 + -356. Let c(l) = 616*l + s - 4 - 692*l. Determine c(v(j)). 76*j - 2 Let a(d) = 3*d. Let v(w) = 750 + 24*w + 2*w + 8*w - 707 + 3*w. Give a(v(f)). 111*f + 129 Let i(b) = -2*b. Let s(f) = -23943*f**2 - 5874*f. Determine i(s(l)). 47886*l**2 + 11748*l Let b(u) = -2*u - 7 + 7. Let k(w) be the first derivative of 8*w**3/3 - 10034. What is k(b(f))? 32*f**2 Let v(u) = -u**2. Let k(d) = 8265267*d**2 + 1. Calculate k(v(g)). 8265267*g**4 + 1 Let z(y) = -996*y - 40. Let f(t) = t - 76. What is f(z(a))? -996*a - 116 Let s(n) = -5*n**2. Let j be ((-28)/(-6))/(-7) + (-140)/(-12). Let k(o) = 15755 + j*o - 15755. Calculate k(s(w)). -55*w**2 Let c(o) be the third derivative of -9*o**5/20 + 4*o**2 + 6. Let w(t) be the second derivative of 5*t**3/6 - t - 156. Calculate c(w(y)). -675*y**2 Let s(f) = -4*f + 2. Let c(q) be the second derivative of -q**7/2520 - 3*q**4/4 - 7*q**2/2 - 23*q. Let k(y) be the third derivative of c(y). Determine s(k(l)). 4*l**2 + 2 Let k(i) = 3*i**2. Let x(a) = 26*a. Let d(r) = 13*r. Suppose 48 + 9 = m. Let t be (-1)/4 - m/12. Let b(u) = t*d(u) + 3*x(u). Determine b(k(c)). 39*c**2 Let z(h) be the third derivative of -h**5/12 + 29*h**2 + 2*h + 18. Let g(v) = v**2 + 0*v**2 + 3*v**2. Determine z(g(m)). -80*m**4 Let v(y) be the first derivative of -31*y**2 + y - 1463. Let j(f) = 19*f**2. What is j(v(s))? 73036*s**2 - 2356*s + 19 Let p(s) = 83*s**2 - 27*s. Let w(i) = 4036*i. Determine w(p(m)). 334988*m**2 - 108972*m Suppose 4*y + 23*a = 19*a - 4, -y + 7 = -a. Let n(s) be the second derivative of 3*s + 0*s**y + 0*s**2 + 1/3*s**4 + 0. Let x(f) = -9*f. Give x(n(j)). -36*j**2 Let j(t) = 12*t. Let u(h) = h. Let x(s) = j(s) - 9*u(s). Let v(i) = -5938 + 1978 + 1981 - 3*i + 1974. Give x(v(d)). -9*d - 15 Let g(d) = 4*d**2. Let c(p) = -3069214*p. Give g(c(t)). 37680298311184*t**2 Let q(u) = 978*u**2 - 847*u**2 - 423*u**2. Let b(i) = -4*i**2. Determine q(b(l)). -4672*l**4 Let u(p) = -63*p**2. Let l(x) be the second derivative of x**6/360 + 5*x**4/12 - x**3/2 - 47*x. Let a(v) be the third derivative of l(v). Calculate a(u(h)). -126*h**2 Let r(s) = -s - 4540539. Let b(q) = -195*q. Determine b(r(n)). 195*n + 885405105 Let i(b) be the second derivative of -b**6/360 + 5*b**4/6 - 40*b. Let f(o) be the third derivative of i(o). Let c(s) = 4*s. Give c(f(n)). -8*n Let p(n) = 27*n. Let r(s) = -4*s - 21. Suppose 6 = -2*y, 3*a - 3*y = -5*y - 12. Let b(c) = -4*c - 14. Let q(m) = a*r(m) + 3*b(m). What is q(p(h))? -108*h Let w(v) be the first derivative of -1/12*v**4 + 0*v**2 - 25*v + 0*v**3 + 30. Let m(k) be the first derivative of w(k). Let d(j) = -7*j**2. Determine d(m(i)). -7*i**4 Let o(s) be the third derivative of -s**7/1260 - s**4/4 + 5*s**3/6 + 58*s**2. Let x(h) be the second derivative of o(h). Let u(t) = 137*t**2. Give x(u(j)). -37538*j**4 Let j(o) = 81*o**2. Let z(a) be the third derivative of a**5/60 - a**4/24 - 84*a**2 + 4. Determine z(j(c)). 6561*c**4 - 81*c**2 Let t(u) = 7*u**2 - 5. Let c(y) = -101*y**2 + 30*y**2 + 8 + 36*y**2 + 24*y**2. Let s(v) = -5*c(v) - 8*t(v). Let a(f) = 186*f**2. Give s(a(p)). -34596*p**4 Let q(d) = -24 - 3*d + 5*d + 34 - 10. Let p(j) = 23607*j**2. Calculate q(p(x)). 47214*x**2 Suppose 5 - 50 = -n. Suppose 3*k + 68 = 4*f, 2*f + 2*f + 2*k = 88. Let j(z) = 24*z + f*z - n*z. Let l(c) = 5*c**2. What is j(l(d))? -5*d**2 Let x(t) = 2*t**2. Let h(a) be the first derivative of 423 + 299*a**3 - 161 - 280*a**3. Calculate x(h(j)). 6498*j**4 Let l(h) be the first derivative of 0*h + 1/2*h**2 + 10. Let s(j) = -j. Give l(s(b)). -b Let m(z) = z - 15. Let a(d) = 21*d - 350. Let y(o) = 3*a(o) - 70*m(o). Let f(q) = 26*q. Give y(f(r)). -182*r Let p(a) = 27*a. Suppose 15*i - 11*i = -4*c + 388, 0 = -c - 5*i + 117. Let b(m) = -2*m + c - 92 - 2*m. Give b(p(f)). -108*f Let s(k) = 221*k - 38 - 58*k - 58*k - 112*k. Let v(m) = -6*m**2. Calculate v(s(x)). -294*x**2 - 3192*x - 8664 Let f(s) = 457*s. Let q(z) = 53011*z**2. Calculate q(f(a)). 11071294339*a**2 Let r(c) = 2*c**2. Let u(w) be the second derivative of 89*w**4/24 - 3*w**2 - 19*w. Let i(o) be the first derivative of u(o). Calculate i(r(z)). 178*z**2 Let h(w) = w + 1. Suppose 4*o - 3*r + 7 = -3, -5 = o - 2*r. Let a(u) = 1. Let i(l) = o*a(l) + h(l). Let x(g) = -45*g. Give i(x(t)). -45*t Let s = 15 + 0. Suppose 0 = 2*z, -2*w = 2*z + 3 - s. Let b(n) = n + w*n - 11*n + 2*n. Let o(g) = -74*g**2 - 2*g. Give o(b(d)). -296*d**2 + 4*d Let r(g) = 3*g - 7. Let x(f) = -2*f + 5. Suppose -8*c - 13 + 45 = 0. Suppose -c*m = -m - 15. Let q(h) = m*r(h) + 7*x(h). Let j(o) = 34*o. Calculate q(j(n)). 34*n Let b(z) = -2259*z. Let q(k) = 10439*k. Calculate b(q(s)). -23581701*s Let b(o) = 2780685*o**2. Let g(t) = -5*t**2. Determine g(b(s)). -38661045346125*s**4 Let x(t) = -10*t. Let r(u) = -141*u + 283. Let j(p) = 388*p - 850. Let q(o) = 4*j(o) + 11*r(o). Calculate q(x(c)). -10*c - 287 Let w(m) = -m**2. Let i = -28 + 30. Let k(x) = -x - 14. Let t(y) be the second derivative of -y**2 - 38*y. Let v(b) = i*k(b) - 14*t(b). Calculate w(v(s)). -4*s**2 Let p(u) = -154*u. Let y(q) = -167411*q**2. Determine p(y(a)). 25781294*a**2 Let d(c) = 56109020*c. Let f(o) = 12*o. Determine f(d(x)). 673308240*x Let f(x) = 161*x. Let p be ((-6)/4)/((-9)/18). Let i(g) = 22*g. Let s(m) = 8*m. Let v(l) = p*i(l) - 8*s(l). Give v(f(d)). 322*d Let p(i) = 394*i + 5. Let v(n) = 1110*n + 14. Let o(c) = -14*p(c) + 5*v(c). Let b(z) = -3*z**2 - z**2 + 3*z**2. Determine b(o(q)). -1156*q**2 Let x(w) = 77*w**2 + 12 - 12 - 14*w**2 + 43*w**2. Let i(a) = a + 2 - 2. What is i(x(u))? 106*u**2 Let u(i) = -20*i**2 - 24*i**
{ "pile_set_name": "DM Mathematics" }
0.4. Let u = z + 0.5. Which is the closest to -1? (a) -4 (b) u (c) -0.5 c Let r(j) = 2*j + 2. Let h be r(-4). Let p be (0 - 5/(-2))*-2. Let x = h - p. Which is the nearest to x? (a) -3/4 (b) 5 (c) 2/11 a Let k be (-5)/2 + 60/(-24). Let v = 0.1 - 0.1. What is the closest to v in -0.1, k, 1/3? -0.1 Let f = -0.3 - -0.2. Let n = 0.11 + -4.11. Let m = -0.8 - -3.8. Which is the closest to f? (a) 1/8 (b) m (c) n a Let h = -7 + 3. Let f = 2 + h. Let m = 0.02 + -0.32. Which is the closest to 0.1? (a) -0.2 (b) m (c) f a Let x = 90 + -87. Let z = -0.03 - 0.37. Suppose y + 9 = -5*v, v = 6*v + 5*y + 25. What is the nearest to -0.1 in x, v, z? z Let t(o) = -o**3 - 4*o**2 - 19 + o**2 + 19. Let n be t(-2). Which is the closest to 0? (a) 1 (b) n (c) 2/11 c Let f be (-1)/(-7)*42/(-108)*-6. What is the nearest to -3 in f, -0.05, 2? -0.05 Let h = 0.26 + 3.74. Which is the closest to -0.1? (a) 3 (b) h (c) -0.06 c Let d = -81 + 245/3. Which is the closest to -1? (a) -4 (b) -4/7 (c) d b Let g = 1.2 + -0.2. Let s = -0.6 - -0.1. Let v be 5/(-2)*(-1)/5. Which is the closest to g? (a) 0.3 (b) s (c) v c Suppose 0*j - 20 = -10*j. Let h be (-10)/14 - 4/14. What is the closest to -0.1 in h, -0.2, j? -0.2 Suppose -u = b + 3*b - 8, -4*u = 16. What is the nearest to -1 in -4, b, -1/6? -1/6 Let n = -80.8 + 81. Let x = -92003/5 - -18344. Let k = x - -56. Which is the nearest to 1? (a) n (b) 1/3 (c) k b Let f = 22.5 + -23. Which is the nearest to -2/5? (a) f (b) 2 (c) -5 a Let v be (-5)/(-25) + 151/(-5). Let q = v + 26. Which is the closest to -5/6? (a) q (b) -3 (c) -5/3 c Let y(r) = -r**3 - 8*r**2 - 3*r - 20. Let u be y(-8). Let s = -1.98 + -0.02. Let k = -701/1185 - 2/237. What is the nearest to 2 in k, u, s? u Let t = 17/6 - 7/2. Which is the nearest to -0.1? (a) 1 (b) 0 (c) t b Suppose 0 = -2*t + 3*g + 5, 2*g + 1 = -5*t - 15. Let j be 8/(-6) + (-3)/t. Which is the nearest to -0.1? (a) j (b) -1/4 (c) 0.3 b Let h = -3 + 3. Let w = 1 - 6. Let z = -9 - w. What is the closest to -0.1 in h, 1, z? h Let t = 12 + -4. Let d = t + -7. Let n = -2 - -1. Which is the nearest to d? (a) n (b) -1/4 (c) 0.4 c Suppose -6*g + g - 100 = 0. Let s be (4/g)/((-3)/5). Which is the closest to s? (a) -3 (b) 0 (c) -5/3 b Let j = 3 + -2. Let s = -0.398 + -0.022. Let f = s - -0.02. What is the nearest to j in -0.2, 3, f? -0.2 Let w = -6 - -5.98. Let g = w - -2.02. Which is the nearest to 1? (a) g (b) -4/5 (c) 0.3 c Let p = -154 + 625/4. Let z = p + -7/4. Let l = 10 - 9. Which is the closest to l? (a) -1/7 (b) z (c) -0.3 b Let b = 55 - 39. Suppose b*f = 21*f. What is the nearest to f in -1/7, -0.08, -4? -0.08 Let d = 2013/124 - -51477/6820. Let k = 118/5 - d. What is the nearest to -2 in 1/3, 0.5, k? k Let t = -5.72 - -4.8. Let m = t - 0.08. Let i be 12/5 + (-2)/5. What is the nearest to -0.1 in 2/3, i, m? 2/3 Let o = -0.09 + -3.91. Let l = -1.24 + -0.16. Let f = l - 1.6. What is the nearest to -2 in o, f, -2? -2 Suppose 4*v = 4*x, 4*x = -0*v - v - 10. Let z(c) = -c**2 - 22*c - 21. Let w be z(-21). Let b be 33/(-9) + (-2)/(-3). What is the nearest to w in b, -1, v? -1 Let k = 21 - 21. What is the nearest to k in 3, 4, -6? 3 Let s = -14 + 22. Let z = 8.5 - s. What is the closest to 0 in 1, z, 3? z Let r = 12 + -12.3. Let l(z) = 2*z**3 - 1. Let c be l(1). What is the closest to c in r, 2/7, -5? 2/7 Suppose 3*k = -4*h + 2 - 7, 3*h - 9 = 2*k. Let l be 1 - h - (-11 + 2). Suppose 6*q - 3*q = l. Which is the closest to -1/2? (a) 1 (b) 1/12 (c) q b Suppose 3*v = -1 - 2. Let d = 11/27 + -2/27. What is the closest to v in d, -0.3, 2/11? -0.3 Let l = -2 - 2. Let q = -37 - -40.6. Let r = q + l. What is the closest to -1/4 in -5, -2/7, r? -2/7 Let v(i) = -i**2 - 12*i - 4. Let m be v(-12). Let y be -2*(-2)/m*-1. Which is the closest to 0? (a) y (b) 2 (c) -3 a Let u = 1 - -2. Let v be (-2)/12 - 520/(-1680). Which is the closest to -5/3? (a) -5/3 (b) v (c) u a Let j be -1*(-1)/(-1)*-1. Suppose -4*f - 257 = -33. Let l be (-30)/f + 4/(-14). Which is the nearest to -1/3? (a) j (b) l (c) 0.5 b Let u = -5.31 + 0.31. What is the closest to -1 in u, 4/7, 0.4? 0.4 Let q be 2*(-1 - (-15)/(-10)). What is the closest to 0.2 in -2/7, q, 2? -2/7 Let q(t) = -t**2 - 8*t - 2. Let i be q(-7). Let z = -8 - -25/3. Which is the closest to 1/6? (a) z (b) -0.4 (c) i a Suppose -4*p = 0, -l = 2*l - 2*p - 6. Let f = -8 + 7.5. Which is the closest to -2/7? (a) 3 (b) f (c) l b Let l = 12 - 11.5. What is the nearest to 0 in -0.3, l, -2? -0.3 Let m = 4 - 3. Let o = 5 - 3. Let t = -0.017 - 0.383. Which is the nearest to m? (a) -2/7 (b) t (c) o c Let j = -23 - -21. Let u = -11/4 - -5/2. What is the nearest to 0 in -5/2, u, j? u Let i = 40.7 - 39. Let j = i + -1.7. Let p = -1 + 1. What is the closest to j in -0.1, -4, p? p Let m = 10 - 9.82. What is the closest to m in 2/7, -3/5, -5/4? 2/7 Let f = 1.2 - 0.2. Let g(u) = u**2 - u. Let s be g(0). Let m be (-4)/(18/2 + -2). What is the nearest to 0.1 in f, m, s? s Let n = 1 - 2. Suppose -5*i + 1 = 2*t + 27, -4*i - 19 = t. Which is the closest to n? (a) 3 (b) -2/5 (c) i b Let h be 24/15 + 0 + -1. Let m = 9.9 + -10. Which is the closest to m? (a) h (b) -2/11 (c) 1/4 b Suppose 0 = h - 2*h + 5. Suppose 13 = -3*g - h*t - 48, -4*g = 3*t + 63. Let x = g + 7. Which is the nearest to -0.1? (a) 1 (b) -4 (c) x a Let n be -2 + (-2 - (-22)/5). Let f = 0.08 - 0.48. Which is the closest to n? (a) -5 (b) f (c) 5 b Let u = 0.2 + -0.1. Let v be 2 + -2*10/11. What is the nearest to u in 6/7, 3, v? v Let p = 2.3 + 0.7. Which is the nearest to -1? (a) 0.4 (b) 0.5 (c) p a Suppose 0 = 5*t + 105 + 60. Let v = t + 100/3. Which is the nearest to 0.1? (a) 1/2 (b) 6 (c) v c Let r = -9.3 - -8.3. Which is the nearest to r? (a) 1 (b) -2 (c) -5 b Let c(y) = -y - 2. Let h be c(-2). Let s = -5 - -9. Let d = -3 + s. What is the nearest to -2/3 in 4, h, d? h Let x = 5.19 + -0.19. Let j = -24 + 73/3. What is the closest to j in -3, x, -4? -3 Let n = 18.03 + 3.67. Let k = -22 + n. Which is the nearest to k? (a) 0 (b) -4 (c) 3 a Let k = 0.04 + 0.36. Let r = 0.96 + 0.04. What is the nearest to r in 3, 5, k? k Let n = 9 - 6. Let x(r) = -r**2 + 3*r + 1. Let m be x(n). Suppose -w = m + 2. Which is the nearest to 2/11? (a) w (b) -0.5 (c) -3/5 b Let p = -7 - -7.1. Let h = 0.3 - p. Let l = -0.4 + h. Which is the nearest to l? (a) 0.3 (b) -2/21 (c) -2/13 c Let l = -12.8 - -13. Which is the nearest to -0.2? (a) -0.3 (b) l (c) 1/7 a Let z = -9 + 6. Let m = 24.5 - 25. Which is the nearest to 0.3? (a) -1/3 (b) m (c) z a Let n(o) = -2*o**3 - 3*o**2 - o. Let s be n(-2). Let g be (-3 + s)/((-21)/2). Which is the closest to g? (a) 0.5 (b) 0 (c) 5/6 b Let k = -0.7 - -1. Let v be (-3*(-4)/(-20))/3. What is the closest to -1 in k, v, -2/7? -2/7 Let s = -301/632 + 8/79. Which is the nearest to -2/5? (a) s (b) 0.3 (c) -1 a Suppose 0 = -q - 5*c - 3 - 8, -4*q = -3*c - 2. What is the closest to q in 2/23, 0.2, 4? 2/23 Let k(a) = -a + 4. Let m be k(8). Let p be 1*(-2 - 6/m). What is the nearest to 0 in -2/5, p, -4? -2/5 Let b be (-42)/(-30)*4/14. Let x = -0.6 + 0.1. Let a = 4 + -3.5. What is the nearest to 1/3 in b, x, a? b Let j be (-16)/(-18) - 4/6. Let x be (26/87)/((-70)/(-68)). Let k = x - 2/435. Which is the nearest to j? (a) 1 (b) 0.3 (c) k c Let r = 31 - 18. Let k = r - 16. What is the closest to -0.1 in 1, k, -0.3? -0.3 Suppose 4 - 2 = u. Suppose 0 = f - 3*n - 14, 3*f - 14 = 3*n - 2. Which is the closest to f? (a) -0.2 (b) u (c) 4 a Let i = -5 - -6. Let h be ((-3)/(-6)*-4)/i. What is the nearest to -3 in 1/4, 0.3, h? h Let f = 4.5 + -1.5. Let t = -215/4 - -54. Which is the closest to t? (a) -2/13 (b) -1 (c) f a Suppose -5*m + 22 = -4*x, -m + x + 1 + 4 = 0. Which is the nearest to 1? (a) -1/5 (b) 3 (c) m c Let s = -0.3 + 0.2. Let h = 1/3 + 5/12. Let q = -7.7 + 8. What is the nearest to s in h, -5/4, q? q Let i = -2/131 + -123/524. Let j = -3.7 - -4. Which is the closest to -0.1? (a) 1/2 (b) i (c) j b Let y = 0.016 - 0.016. Which is the nearest to 0? (a) -2 (b) y (c) 1/2 b Let k = 39 + -34. Which is the closest to -5/4? (a) 0.3 (b) k (c) -5 a Let i be (0 - (-39541)/5) + 0. Let g = i + -7971. Let b = -63 - g. What is the clo
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
/u**(-2/7))))*u))/(u**(1/2)/(u*u**(2/19)*u))**13 assuming u is positive. u**(14563/798) Simplify (((((q**4/q)/q)/q**(2/3))/(q**0)**(2/13))**29)**(-17) assuming q is positive. q**(-1972/3) Simplify (((v/(v/(v*v**(-5)/v)))/v)/(v**(-1/3)*v))**(-4/9)/((v*v**(-1))**(26/3)*v**(-2)*v**(-2/5)/v) assuming v is positive. v**(859/135) Simplify ((w*w**(-3))**7)**(12/5)*(w*w**(-12)*(((w*w**(-9))/w)/w)/w)**(-6) assuming w is positive. w**(492/5) Simplify ((b*b*b/(b*b**(-37))*b*b*b*b*b*b)/b**(-4/13))/(b/b**(1/6)*b**(3/2)) assuming b is positive. b**(1676/39) Simplify ((z**(1/3))**(6/7)/(z**1)**(2/63))/((z**(-2/3))**(-47)*(z**9/z)/(z*(z*z*z/(z**(-8)/z)*z)/z)) assuming z is positive. z**(-1643/63) Simplify p/p**(-2/7)*p**0*(p*p*p/p**2)/(p/p**2)*((p**2)**(-15))**16 assuming p is positive. p**(-3337/7) Simplify ((o**(-4)/o)/o**(-1/5)*(o*o**(3/5))/o*o**(1/4))/((o**(-1/3)*o)/(o/o**6)*o**(-1/4)*o/o**(-3/5)) assuming o is positive. o**(-329/30) Simplify ((k**7/(k*k**8))/((k**27/k)/((k*(k*k*k/((k*k**(1/3))/k))/k)/k)))**(-1/3) assuming k is positive. k**(79/9) Simplify ((s*s**8)/(s*s*s**(1/7)*s)*s**7*s/((s/(s**(1/9)/s))/s))/((s**(2/9))**(-2))**(-21) assuming s is positive. s**(229/63) Simplify (t/t**(2/9)*t)**(2/123)/(t**(2/5))**43*(t/(t/t**(-3))*((t**(1/4)*t)/t)/t)/(t**(1/4))**4 assuming t is positive. t**(-485333/22140) Simplify u*u*u**(-2)*u**(-5)*(u**(-4)*u)/(u*u**(-2/5)*u*u)*((u*u/((u*u**(-2/5))/u))/u)/(u**(2/11)*u)*(u*u/u**1)**(7/6) assuming u is positive. u**(-3041/330) Simplify ((i*i**(-6)/i*i*i)/i*i**(1/8)/i)/(i**(-3/8)/i**4)*((i**(1/2)/i)**(-29))**(1/28) assuming i is positive. i**(-55/56) Simplify (w**(1/2)/(w/w**(-1)*w)*(w**1)**(3/19))/((w**(-1)*w)**20*w/(w/(w/((w*w*w**(3/2))/w)))*w**(-6)) assuming w is positive. w**(98/19) Simplify ((w*(w**(-1)/w)/w*w)/(w/((w/w**(1/4))/w)))**(-46)*(w**1/w)/(w/(w/((w**(-5)*w*w)/w)))*w**(-6)/w*w**(2/23) assuming w is positive. w**(4627/46) Simplify (l**(-37)*l*l**(-2/37)*l/(l/(l**(3/11)*l))*l*l**(-12)*l)**(3/11) assuming l is positive. l**(-54678/4477) Simplify ((v*v*v/((v*v/(v*v**(2/7)))/v)*v*v)**(-10/3)/(v**(-2/5))**36)**(1/10) assuming v is positive. v**(-169/525) Simplify ((p/p**(-2/3)*p**(-2)*((p/p**(-1))/p)/p**(-5))**(2/17))**(-13) assuming p is positive. p**(-26/3) Simplify (((q*q**(2/7))/q)/(q**(-1)/q)*q/((q*q*q**(-1/4)*q*q)/q)*q*(q/q**(-2))/q)/(((q*q*q**(2/7))/q*q**1*q*q*q*q)/(q*q**(-5)*q**4)) assuming q is positive. q**(-11/4) Simplify (q*q*q*((q**0/q)/q*q)/q)/q**(-1/2)*q**(2/7)*q**(1/2)*(q**(-3)/q*(q**(2/13)/q)/q)/(q**(-3/4)*q**(-3/2)) assuming q is positive. q**(-477/364) Simplify ((x**(-2)/x*x/(x*x*x**(-10)*x*x)*x**(1/12)*x*x**(1/3))**(3/4))**(1/4) assuming x is positive. x**(65/64) Simplify ((j/(j*j**(-3)))/(j/j**(-3/10)))**(-17)/((j**(-2/7))**11*(j*j**1)/(j*j**(-2)/j)) assuming j is positive. j**(-2083/70) Simplify ((h**2*h)**19)**(-1/7)*(h**(2/23)/h**4)**(-8) assuming h is positive. h**(3729/161) Simplify (((k*k**(-2/13)*k)/k)**(-14)/((k/((k*k*k**(4/5))/k))/(k/(k*k*k**(-1/4))*k)))**(-6/31) assuming k is positive. k**(8421/4030) Simplify b**(2/13)*b*b**(-1/6)*b*b**5/b*b*b**(-1)*((b/(b*b**(2/3)/b)*b)**(1/17))**34 assuming b is positive. b**(225/26) Simplify (z**(2/7)*(z**5/z)/z*(z**0)**(-3/29))/(z*z**(-6)*(z**(-1/3)/z)/z*(z/(z**(1/5)/z))/(z/z**(-4/5))) assuming z is positive. z**(223/21) Simplify ((((r*r/r**(15/4))/(r/r**30))**(-4))**(-15))**50 assuming r is positive. r**81750 Simplify ((t/(t*t*t**(6/5)))/(t/(t**(-1/4)*t)))**(4/9)*(t**(5/2)*(t*t**(5/4)/t)/t)**(-1/25) assuming t is positive. t**(-1079/900) Simplify (o**(-1/4)*o**(-13))**(-8)*(o**2)**39*(o**2/o)**(5/9) assuming o is positive. o**(1661/9) Simplify n**(-4/5)/n**(3/7)*n**41/(n/n**(-21)) assuming n is positive. n**(622/35) Simplify ((q*q**1)**(-1/5))**(11/5)*(q*q**(1/4))**9*(q/q**(3/4)*q)/q**(1/6) assuming q is positive. q**(859/75) Simplify (((x/(x*(((x**(-1/2)*x)/x)/x)/x))/x)**(-16)*(x/(x**(-5)/x))/(x**3*x))/(x**1*x*x/(x/x**4)*x*x)**26 assuming x is positive. x**(-229) Simplify (v**(-2)*v/v**(-6))/((v*(v/(v**(1/3)/v))/v)/((v**(3/5)*v)/v))*((v**1/v)/(v/v**(4/5)))/(v*v**(-4)*v**(-3)*v) assuming v is positive. v**(131/15) Simplify (((n*n*n**2*n*n)/n)**(-5/7)/(n**(-2))**(-3/7))/((n*n/(n*n*n*n**2*n))**(-14))**(-30) assuming n is positive. n**(11729/7) Simplify (((n*n**(-5/17)*n)**47)**(-1/2))**(-14) assuming n is positive. n**(9541/17) Simplify ((h/(h*h**2))**(-8/9)*h**(1/5)/h**7)/((h**1)**(-11))**32 assuming h is positive. h**(15614/45) Simplify (f**(2/9)/f**4*(f**0/f)**(-24))/((f**(-1))**(5/6)/(f**(-4)*(f/((f*f**(-1/5))/f))/f)) assuming f is positive. f**(1553/90) Simplify ((m*m**(-22))**49*(m/m**(2/31))**(-17))**(-1/18) assuming m is positive. m**(16196/279) Simplify ((q/(q*q/q**13)*q**19)/(q**(-3)/q*q)**2)**(-1/10) assuming q is positive. q**(-37/10) Simplify (m**(-1/9)*m**(-2/7)*m**4/m**(-4/7))/(m*m**(-3/4)*m**0*m**(-1)/(m**(3/2)/m)) assuming m is positive. m**(1367/252) Simplify r**(-3/5)*r/r**(2/5)*r**(-5/4)/r**(-7)*(r**0)**(-35)*(r/(r**(-6/5)/r*r))/r**(-7) assuming r is positive. r**(299/20) Simplify ((h**(-2)*h*h*h*(h**7*h)/h*h*(h**(-1/4))**(3/35))**6)**(-6/19) assuming h is positive. h**(-11313/665) Simplify ((z**(2/5)*z)**(-4/17)/(z**(-3/7)/z**(-2/3)))/(((z*z/z**3)/z**4)/(z**(-2/3)*z**2)) assuming z is positive. z**(10292/1785) Simplify ((m/(m/m**(-1/8))*m)**(-4/9)/((m*(m**24/m)/m)/(m*m**(-17))))**(2/51) assuming m is positive. m**(-709/459) Simplify ((((g*g**(-13/6)*g)/g**(3/8))**(-32))**(-1/28))**(1/26) assuming g is positive. g**(-1/42) Simplify ((l/(((l/(l/(l*l*l*(l/l**(2/11))/l*l)))/l)/l))**(-1/48)/(l**(-4))**10)**3 assuming l is positive. l**(21129/176) Simplify (((((d*d/(d/((d**(-21)*d)/d)))/d)/d)/d*d)/d)**(-8)/((d/d**(6/5))/d*d*d**(-1/18)) assuming d is positive. d**(16583/90) Simplify ((g*(g/g**(2/5))/g)**44)**38*(g*g/g**(-1/2)*g)**(4/23)*g*((g**5*g)/g)/g*g*g**3*g assuming g is positive. g**(116588/115) Simplify ((l/(l*l/(l**(13/4)/l))*l)/(l/l**(-10/9))*((l/l**(-21))/l)/l**(5/3))**(-25/2) assuming l is positive. l**(-17525/72) Simplify ((c*c*c**(-2/13)*c)/c*c*c**0*c)**(-8)*(c*(c**(-1/3)/c)/c*c**(1/2))**(-23) assuming c is positive. c**(-905/78) Simplify (o**(-5)/o**(-1)*o**4/((o/(o*o*o/o**3)*o)/o))/((o/(((o**(-1)/o)/o)/o))**(-14))**(-2/5) assuming o is positive. o**(-29) Simplify (p**(-1/4)*p**(3/4))**(7/4)*(p/p**(3/10)*p/((p**5*p)/p))**(-1/39) assuming p is positive. p**(499/520) Simplify ((k**(-37)/k)**(1/58)/((k/(k*k*k**(-4/23)))/(k**(11/3)*k*k)))**(-1/48) assuming k is positive. k**(-11681/96048) Simplify (q**1/(q**(-7)/q))/(q**(-3/7)/((q**(-2/17)*q)/q*q*q))*(q**(2/3)/(((q/(q/q**1))/q)/q))**1 assuming q is positive. q**(4633/357) Simplify (((q**(-10)/q)/(q**2/q*q))/(q**(-3/5))**32)**(-9) assuming q is positive. q**(-279/5) Simplify ((s**1)**(-44)/((s**1*s)/(s*s**(-3)*s*s)))/((s/(s/s**1))**18*(s**(-5)/s)/s**(-1)) assuming s is positive. s**(-59) Simplify ((u/(u**(-1)/u*u)*u)**27)**(7/5)/(u**(1/5)/u**(-3))**40 assuming u is positive. u**(-73/5) Simplify ((s*s*(s**(-3)/s)/s*s)**(-9)/(s**(-3/2)*s**(-5)/s))**(-2/23) assuming s is positive. s**(-51/23) Simplify ((z**(1/2)*z*z)/(z/(z*z*z/((z/z**(-9))/z*z))))**(-18)/((z/(z/z**(-1/10)))/z**4)**(-2/3) assuming z is positive. z**(1444/15) Simplify ((t**(1/4)*t)**10)**(1/2)*((t**(3/5)/t)/(t/t**(-4/11)))/(t*t/(t**(-8)*t)*t*t**(-2/5)) assuming t is positive. t**(-225/44) Simplify (q**(-6)/q*q/q**0)**23*(q**(-6)/(q**(1/3)*q*q))**(2/15) assuming q is positive. q**(-1252/9) Simplify (g/(g*(g**(-2/57)*g*g*g)/g)*(g/g**(-40))/g)/(g/(g/((g**(37/2)*g)/g))*g**(-24)/g) assuming g is positive. g**(5077/114) Simplify b**(-1/9)*b*b**(3/4)*((b/(b/((b**(-1/4)*b)/b*b)))/b*b*b*b)**(-39/5)*(b/(b/(b**(2/7)*b)*b))/b*b*b*b/b**6*b*b**(-7)/(b*b**(-3/5)) assuming b is positive. b**(-18853/630) Simplify ((z**2/(z**(2/13)*z))/(z**(-8/3)*z/z**(2/5)))/((z*z**(-2)*z)**(-2/21)*z**5/z**(-4/7)) assuming z is positive. z**(-3629/1365) Simplify ((j/j**5*j)/j**(-1/6)*(j*j**(3/2))/j*j**(-7))/((j**5/j)**(-5/2))**(-3/16) assuming j is positive. j**(-245/24) Simplify ((((w*w**(-8))/(w*w/(w**(-10)/w)))/(w*w**(-2/9)*w)**(-1/4))**(-3/4))**(-38) assuming w is positive. w**(-1672/3) Simplify (((j/(j*j**4/j))/j)/j**(2/9))**(-18)/((j**0*j)**(21/2)*j*(j*((j*j**(1/5))/j)/j)/j*(j*j**(2/17))/j) assuming j is positive. j**(11081/170) Sim
{ "pile_set_name": "DM Mathematics" }
mallest value in -4, o, y? o Let x = -15163/15 + 1011. Which is the third smallest value? (a) -0.15 (b) 5 (c) x (d) 2 d Let g be 1 + 3 - 32/(-150)*-21. Which is the second biggest value? (a) g (b) -5 (c) 0.2 a Let k = -5.08 - -0.08. Let f = 4.6 - 3.6. Which is the second biggest value? (a) k (b) -3/8 (c) f b Let l = -27 + 25.7. Let z = -0.8 - l. Which is the smallest value? (a) z (b) -2 (c) -1 b Let y = 896647/13 + -68896. Suppose 0 = 4*c + 62 - 370. Let z = y - c. What is the third biggest value in 3/4, z, -5? -5 Suppose 0 = 4*w + 185 - 65. Let f be w/8 - 8/32. Let q be f/((3 + -2)*-2). What is the second smallest value in q, -0.5, -0.2? -0.2 Let m = -2.1 + 0.1. Let j be (-5)/(-15) + (-789)/(-36). Let w = -22 + j. What is the smallest value in m, 3, w? m Let y = -1266 + 1286. Which is the second smallest value? (a) -0.2 (b) y (c) -2/3 (d) -0.4 d Let q = 73 - 76. Which is the smallest value? (a) -2/13 (b) -0.1 (c) q (d) -1 c Let k = -2.15 + -1.85. Which is the smallest value? (a) k (b) -0.4 (c) -0.05 a Let u = -3.424 + 0.424. Which is the biggest value? (a) 30 (b) u (c) 0 a Let x = -0.302 - 0.698. What is the second biggest value in -3, x, 1, -4? x Let i = -48.92 + 48. Let o = 17 - 16. Let f = o + i. What is the biggest value in -1/2, f, -4? f Let w = 0.61 + -1.61. Which is the biggest value? (a) 2 (b) 3/2 (c) -4 (d) w a Suppose 4*p = 3*p. Suppose -3*v - 9 = p, -2*v + 2 + 1 = -3*w. Let i be (5*2/5)/(-9). Which is the second smallest value? (a) w (b) i (c) 5 b Let s = 152 + -1366/9. What is the smallest value in s, 0.131, -2? -2 Let x be (-672)/68 + 10 + (-66)/272. What is the second biggest value in 5, x, -10/9? x Let y = -2.06 - -0.06. Let s = -2792/11 + 254. Which is the smallest value? (a) s (b) -1 (c) y c Let d = 129/889 + -2/889. Which is the smallest value? (a) d (b) -4 (c) 5 b Let g = 87 - 86. What is the second biggest value in g, 2, -3/5? g Suppose -25 = -5*w + 5. Let v be (-1236)/16*w/9. Let d = 53 + v. Which is the third biggest value? (a) d (b) -5 (c) 1 b Let l = -0.349 + 0.149. Which is the third smallest value? (a) 0.5 (b) l (c) -2/11 a Let v = 146 - 147. What is the fourth biggest value in 5, -0.02, 0.1, v? v Let k be 15/(-8)*((-305)/(-25) + -12). Which is the third biggest value? (a) 4 (b) 70 (c) k c Let r be 2/4 + (-141)/6. Let t = -101 + 911/9. Which is the third smallest value? (a) 3/4 (b) r (c) t a Let u = 3.27 + -4.27. What is the smallest value in 1/5, -0.3, u? u Let j = -969 + 973. Let x = 5.5 + -0.5. What is the smallest value in x, 2/5, j, -4? -4 Let x = 96.75 - 96.7. Let g = 17 + -14. Let p = -0.7 - -0.4. What is the second smallest value in g, x, p? x Let z(f) = -f**3 - 6*f**2 + 6*f - 9. Let q be z(-7). Let u = 9 - 19. Let y be q + u*2/(-8). What is the third biggest value in y, 0.7, 3? y Let r = 9 + -11. Let h = 285.87 + -289. Let o = h + 0.13. Which is the third smallest value? (a) o (b) r (c) -2/3 c Suppose 4*o - 2*f - f - 4 = 0, -4*o - 4 = -5*f. Let s(p) = -2*p**2 + 3*p - 2. Let j be s(2). Which is the biggest value? (a) o (b) -5 (c) j a Let q = 2.7 - 0.7. Let c = 0.44 + 0.06. What is the biggest value in q, c, -5, 3/4? q Let k be (3/9)/(4/(-12)) + 5. Let z be ((4/3)/k)/((-63)/42). What is the second biggest value in z, 0, -10? z Let n be 4/22 + 0 + (-138)/33. Which is the smallest value? (a) 2/7 (b) -1/6 (c) n c Suppose -4*y + 0*y = 2*b - 4, -2*y + 18 = -3*b. Let r be 4/(-14) - (-45)/84. What is the second smallest value in -1/6, b, -2/5, r? -2/5 Let v be ((-4)/5)/((-8)/20). Let u = -334/3 + 111. What is the third biggest value in -5, u, v? -5 Let h = 4.6 - 5. Let w = -1419 - -14191/10. Which is the biggest value? (a) 5 (b) h (c) w (d) 0 a Let r = 124 + -2851/23. What is the second smallest value in 1, -5/3, r? r Let y be (-18)/(-4) - (-90)/(-36). What is the second smallest value in 1/4, -0.25, -3/4, y? -0.25 Suppose 25 = -4*k - 39. Let b = 218 - 214. What is the biggest value in b, 1, k? b Let t = 1802 - 1801.6. Which is the fourth biggest value? (a) t (b) 220 (c) -2/7 (d) -0.4 d Let w = -64.63 + 65. Let y = 5.37 - w. What is the second smallest value in y, 0.3, 0.4? 0.4 Let n = 95/232 + -1/29. Let z(b) = b**2 + 14*b - 23. Let y be z(-16). Let x be y/6 + 2 - 3. What is the second biggest value in x, 1, n? x Let p(f) = -4*f + 57. Let i be p(7). Let m = i + -32. What is the second smallest value in 5, m, 0.01, 1/3? 0.01 Let g = -0.0219 + -0.2781. What is the biggest value in 3, g, -0.07, -1/3? 3 Let v = 14 + -9. Let m = 2.5 - 13.5. Let k = m - -19. What is the third smallest value in -0.4, k, v? k Let w = 76 + -75. What is the smallest value in w, 0.3, -6.4? -6.4 Let x = -129 - -80.3. Let s = x - -49. Let j = -0.2 + 0. What is the smallest value in s, 0.2, j? j Let a = -27 + 39. Let h = 12.297 - 0.197. Let v = a - h. What is the second smallest value in 0, 0.5, v? 0 Let h = -237 - -240. What is the third biggest value in -4, h, 2? -4 Let o = 5.8 - 30.8. Let v = -21 - o. Let i = -2 + 2. Which is the third biggest value? (a) v (b) i (c) 2 b Let t = 306 + -2138/7. What is the second smallest value in 1, t, -0.3, -1? -0.3 Let c = 3.6 - 4. Let n = -35.6 - -38.6. Let v = 8/3 + -19/6. What is the third biggest value in n, c, v? v Let k be (2/9)/(7/(-21)). Let o = 3/8 + 1/8. Which is the third biggest value? (a) o (b) 2 (c) k c Let d = -148 + 149.5. Let r = 1.64 - d. What is the biggest value in 5, -2/11, r, -0.4? 5 Let j = -3.8 + -0.2. Let z = 124 + -182. Let y = z + 51. What is the third smallest value in -0.3, j, y? -0.3 Let w be (-6)/(-10)*(-5)/4. Suppose -4*k - 2 = -6*z, -7 = 3*z - k - 12. Which is the second smallest value? (a) -3 (b) z (c) w c Let k(s) = -s**3 + 12*s**2 - 17*s + 6. Let w be k(11). Let m = 301/5 + w. Let q = -1 + -1. Which is the biggest value? (a) -1/5 (b) m (c) q b Suppose 3*b = u + 10, u - 3*u = -b + 15. Let r(f) = -f**2 - 9*f - 9. Let g be r(u). Let m = 0.06 + -2.06. What is the third smallest value in m, g, -5? g Let r be 780/(-55) + 11 - (-4 + 1). What is the biggest value in r, 2, -3? 2 Let w = -10 - -15. Let s = -16 + w. Let n = 11 + s. What is the smallest value in n, 1, -2? -2 Let s = -926 - -922. What is the third biggest value in 9, -2/5, s? s Let d = -0.179 + -41.321. Let n = -42 - d. What is the second biggest value in n, -4, 4/5? n Let p = -131 - -4583/35. Let t = -459/847 - -31/121. What is the second biggest value in t, p, -2? t Let i = -11 - -11.4. Let t be 6 + -2 + (14 - 2). Let y be -3 - 2*(-27)/t. Which is the second smallest value? (a) i (b) -3 (c) y c Let x = 97.2 + -97. What is the third smallest value in 0.8, x, -3? 0.8 Let f = 40 - 44.7. Let y = 4.9 + f. Let j = 2.4 - 2. What is the biggest value in y, 5, j? 5 Let m = -0.1 - -0.4. Let q = 260.48 + -260.88. Which is the biggest value? (a) 3/5 (b) 1.2 (c) m (d) q b Suppose 6*d - 5 = d. Let l be 420/(-135) - (1/d - 4). Let a be (-1)/(-19)*(-4 - -2). What is the third smallest value in a, -4, l? a Suppose -2*i = -6*i + 1068. Let p = i + -1872/7. Which is the second biggest value? (a) p (b) 8 (c) -3 a Let x = 782/7 - 112. Let d be (-8)/(-12) + (-8)/15. Which is the third smallest value? (a) 3 (b) x (c) d a Let i = -10 - 19. Let j = -46 - i. Let c = -17 - j. What is the smallest value in 2, -0.08, c? -0.08 Let o = 611 - 610. What is the fourth biggest value in -16/7, -0.3, o, -0.1? -16/7 Let j = -87 - -92. What is the second smallest value in j, -3/4, -1/4, 0.7? -1/4 Let h = -0.2 - 0. Let j be -10*(-3)/(45/6). Suppose 1 = 9*x - 10*x. Which is the third biggest value? (a) j (b) x (c) h b Let n = 0 + -9. Let m = 0.6 - -8.7. Let v = n + m. What is the biggest value in 0.4, v, -4/5? 0.4 Let b = -19/4 - -125/28. Let r = 293 - 293. What is the third smallest value in r, b, -6/13? r Let k = 553.6 - 554. Which is the fourth biggest value? (a) k (b) -3 (c) 1 (d) 1/26 b Let s = -6 - -6.2. Which is the biggest value? (a) s (b) 5 (c) -0.2 b Suppose 0 = 4*i - 10 - 10. Let y(o) = -o + 13. Let k be y(8). Suppose k = -i*t - 20. Which is the second smallest value? (a) t (b) -4 (c) -2 b Let x = 17.14 - 0.14. Let l = 1114.4 - 1114. Which is the second biggest value? (a) x (b) l (c) 2 c Let i = 0.4 + -5.4. Let k be (-1)/(10/(-84)) + 1
{ "pile_set_name": "DM Mathematics" }
= 5*z**3 + 2*z**2. Let m(j) = -11*j**3 - 5*j**2 + 1. Let h be (-4 + 55/20)*4. Give h*n(y) - 2*m(y). -3*y**3 - 2 Let m = 67 - 64. Let b(p) = -15*p + 2. Let f(z) = -7*z + 1. Give m*b(u) - 7*f(u). 4*u - 1 Let q(v) = -121*v. Let c(f) = -24*f. Determine 11*c(t) - 2*q(t). -22*t Let z(g) = g**2 + g + 1. Let s(q) = 3*q**2 - 2*q + 2. What is s(r) - 2*z(r)? r**2 - 4*r Let i(o) = 23*o - 3. Let u(x) = 115*x - 16. Calculate -11*i(l) + 2*u(l). -23*l + 1 Let m(f) = -5*f + 4. Let j(r) = 6*r - 5. Give 3*j(h) + 4*m(h). -2*h + 1 Let s = -24 + 19. Let i(f) = 5*f - 3*f - f. Let v(q) be the second derivative of q**3 - q**2/2 + 2*q. Determine s*i(r) + v(r). r - 1 Suppose -t = 7 - 8. Let c(f) = f. Let k(j) be the first derivative of -j**2/2 + 2*j + 3. Determine t*k(m) + 2*c(m). m + 2 Let w(z) = -z + 2 + 3 - 5. Let m(g) = g + 2. Let r be m(0). Let o(b) = r*b + 2 - 3 - b**2 + 2. Calculate -o(y) - 3*w(y). y**2 + y - 1 Let m(a) = 2*a**2 - 2 + 3*a - 1 + 0*a**2. Let o(y) = -6*y**2 - 8*y + 8. Let b(g) = g**2 + 7*g - 11. Let i be b(-8). Calculate i*o(z) - 8*m(z). 2*z**2 Let a(d) = d - 3. Let g(t) = -2 + 4 - 3. Suppose c = 2 - 0. Give c*a(w) - 6*g(w). 2*w Let d(t) = -4*t + 9 - 2*t - t**2 + 0*t**2. Let p be d(-7). Let i(r) = -r - 3 + 2 + p. Let x(s) = -2*s**3 + 2*s - 2. What is 2*i(l) + x(l)? -2*l**3 Let s(i) = 6*i**2 - 4*i - 5. Let p(b) = -b**2 + b + 1. Suppose -42 = -4*t - 3*z, t + 3*z = -z + 17. Let h = t - 10. Give h*s(g) - 4*p(g). -2*g**2 + 1 Let p(z) = 2*z**2 - 1. Let m be p(1). Suppose 4*a + m = 73. Let n(v) = v**3 + 2*v**2 - 1. Let x(o) = 4*o**3 + 9*o**2 - 5. What is a*n(q) - 4*x(q)? 2*q**3 + 2 Let c(l) = 9*l - 59. Let d(r) = -14*r + 88. Determine 8*c(s) + 5*d(s). 2*s - 32 Let k(u) = -u**3 + 5*u**2 - 11*u. Let l(x) = x - 1. Let g(s) = 2*s**2 - 10*s + 5. Let h(c) = g(c) + 5*l(c). Give -5*h(a) + 2*k(a). -2*a**3 + 3*a Let j(o) = 3*o - o**2 - 2*o**2 + o**3 - 2*o. Let h = -40 - -42. Let x(v) = 4*v**3 - 10*v**2 + 4*v. Give h*x(c) - 7*j(c). c**3 + c**2 + c Let x(b) = 2*b**3 + 14*b + 2. Let k(r) = 10*r**3 + r**2 + 70*r + 11. Give -2*k(m) + 11*x(m). 2*m**3 - 2*m**2 + 14*m Let r(v) = -3*v**2 - 7. Let u(w) = -3*w**2 - 8. Let f(m) = -m**3 + 6*m**2 + 5*m - 25. Let k be f(6). What is k*u(i) - 6*r(i)? 3*i**2 + 2 Let k(r) = -5*r**3 + 4*r**2 - 6*r. Let p(c) = 9*c**3 - 7*c**2 + 11*c. Let s be 10/(-3)*12/10. What is s*p(m) - 7*k(m)? -m**3 - 2*m Let c(p) = 6*p**3 + 6*p**2 - 5*p - 4. Let h(j) = -j**3 - 15*j**2 - 15*j - 19. Let s be h(-14). Let m(q) = -5*q**3 - 5*q**2 + 4*q + 3. Determine s*m(w) - 4*c(w). w**3 + w**2 + 1 Let d(z) be the first derivative of 1/3*z**3 + z + 0*z**2 + 9. Let f(i) = -i**2 - 1. Suppose s - 2 = 4*p, 3 = p - 2*s - 0. Give p*f(o) - 2*d(o). -o**2 - 1 Let v(w) = -34*w**2 - w + 6. Let y(j) = -j**2 - 1. What is -v(a) - 6*y(a)? 40*a**2 + a Let p = 371 + -369. Let y(l) = -5*l - 3. Let k(t) = -24*t - 14. Let g(h) = 6*k(h) - 28*y(h). Let m(w) = -w**2 - 9*w - 1. Determine p*m(s) - 5*g(s). -2*s**2 + 2*s - 2 Let c(l) = -3*l**3 - 2*l. Let f be (-8)/28 - (-84)/(-49). Let t(z) = 5*z**3 + 5*z. What is f*t(n) - 5*c(n)? 5*n**3 Let s(i) be the first derivative of -i**3/3 + i**2/2 - i - 5. Let f(a) = -a**2 - 2. Give f(v) - 2*s(v). v**2 - 2*v Let b be (3/(9/2))/((-8)/60). Let q(j) = 2*j + 1. Let f(u) = 3*u + 1. Determine b*q(o) + 4*f(o). 2*o - 1 Let s(f) = -2*f - 3*f + 7 + 0*f. Let i be 1/(((-3)/(-9))/1). Let w(r) = i*r - 4 - 2*r + 3. Determine s(a) + 6*w(a). a + 1 Let r(d) = -5*d**3 + d**2 + 6*d. Let t(v) = -v**3 + v. What is -r(j) + 6*t(j)? -j**3 - j**2 Suppose -4*p + 0 = 84. Let l = p + 9. Let g(q) = -q. Let c(n) = -10*n. Determine l*g(z) + c(z). 2*z Let y(m) = 5*m**3 + 6*m**2 + 6*m + 6. Let n(h) = -15*h**3 - 17*h**2 - 17*h - 17. What is -6*n(d) - 17*y(d)? 5*d**3 Let h = -20 + 16. Let u(b) = 3*b + 2. Let f(p) = p. Let y(g) = -3 - 7*g + g**2 + 2*g + 4. Let l be y(5). Determine h*f(w) + l*u(w). -w + 2 Let j(o) = o**2 + 6*o - 4. Let c(y) = -y**2 - 4*y + 3. Suppose 16 = -4*b - 4. What is b*j(m) - 7*c(m)? 2*m**2 - 2*m - 1 Let t(a) = -21*a**2 + 2*a. Let h(s) = -85*s**2 + 9*s. What is 2*h(b) - 9*t(b)? 19*b**2 Let s(m) = -m + m - 10*m - 6. Let z(b) = -24*b - 4. Let n(l) = -11*l - 2. Let w(f) = 9*n(f) - 4*z(f). Determine -2*s(j) + 7*w(j). -j - 2 Let s(p) = -2*p**3 - p**2 + p - 3. Let l(v) be the second derivative of v**5/4 + v**4/4 - v**3/3 + 7*v**2/2 - 15*v. Calculate -3*l(a) - 7*s(a). -a**3 - 2*a**2 - a Let b(g) = -g - 1. Let x(m) = -7*m - 7. What is 6*b(z) - x(z)? z + 1 Let f(h) = 3*h + 5. Let c(r) = 5 - r + 2 - 11 + 3. What is 10*c(l) + 2*f(l)? -4*l Let i(m) be the second derivative of -m**3 - 3*m**2 + m. Let h(k) = -5*k - 7 + 9 - 7. Give 4*h(r) - 3*i(r). -2*r - 2 Let c(p) be the first derivative of p**3/3 + 7*p**2/2 + 5*p + 5. Let i(x) = -x - 1. Let k(l) = 5*l + 5. Let j(b) = 11*i(b) + 2*k(b). Determine c(z) + 5*j(z). z**2 + 2*z Let m(u) = -u**3 - u. Suppose -5*c = -2*h + 5, -5*c + 4*h + 9 - 24 = 0. Let l(a) = 4*a**3 + 3*a + 1. Determine c*l(z) + 3*m(z). z**3 + 1 Let m(y) be the third derivative of -1/12*y**4 + 0*y**3 + 1/60*y**5 + 0*y + 4*y**2 + 0. Let a(x) = x**2 - x. What is 4*a(g) - 2*m(g)? 2*g**2 Let m(o) = -3*o**3 + 4*o**2 - 3*o + 4. Let s(j) = -7*j**3 + 8*j**2 - 7*j + 9. Calculate -9*m(z) + 4*s(z). -z**3 - 4*z**2 - z Let w(y) = y**2. Let j(n) = 2*n**3 - n**2 - 2*n + 2. Let o be j(1). Let x(s) = 5*s**2. What is o*x(r) - 3*w(r)? 2*r**2 Let i(p) be the second derivative of -p**4/3 + p**3/2 - p. Let v(w) = -5*w**2 + 4*w. Calculate -4*i(h) + 3*v(h). h**2 Let d(b) = 3*b**2 - 6. Let c(y) = -4*y**2 + 7. Let v = -20 - -27. Calculate v*d(z) + 6*c(z). -3*z**2 Let u(k) = -2*k + 8. Let q(s) = -5*s + 15. Give -3*q(h) + 5*u(h). 5*h - 5 Let n = -10 + 9. Let i(s) = -s**3 + s**2 - 1. Let a(r) = 6*r**3 - 4*r**2 + 2*r + 4. What is n*a(p) - 4*i(p)? -2*p**3 - 2*p Let m(i) = 10*i**2 + 10*i + 7. Suppose x + 73 = -5*u, -3*u = -2*x + 27 + 9. Let s(c) = 3*c**2 + 3*c + 2. Determine u*s(a) + 4*m(a). -2*a**2 - 2*a Let y(p) = 5*p + 3. Let r(v) = -2*v - 2. Give 5*r(q) + 3*y(q). 5*q - 1 Let x(t) be the second derivative of -6*t + 0 + 1/2*t**2. Let z be -1*2/4*-2. Let l(v) = v - 2. Give z*l(s) + 2*x(s). s Let j(c) = -c - 1. Let w(a) = a**2 + 5*a + 2. Let o be w(-4). Let n(x) = x**2 + 3*x + 3. Give o*n(t) - 6*j(t). -2*t**2 Let u(l) = -9*l - 5. Let h(z) = -9*z - 5. Determine -2*h(q) + 3*u(q). -9*q - 5 Let q(h) = -15*h - 1. Let f(s) = -15*s - 1. Calculate -6*f(n) + 7*q(n). -15*n - 1 Let q(a) be the first derivative of -a**4/4 + 2*a + 6. Let j(t) be the first derivative of -t**4/4 - 3. Give -2*j(s) + q(s). s**3 + 2 Let l(m) = -2*m**2 + m - 5. Let j be (-44)/(-6) - (-4)/6. Let g = -19 + j. Let r = -7 - g. Let q(k) = -2*k**2 + k - 6. Determine r*q(o) - 5*l(o). 2*o**2 - o + 1 Let b(q) = -6*q - 2. Let y(z) = -z**3 + 7*z**2 - 7*z + 2. Let d be y(6). Let s(c) = -5*c - 1. Determine d*s(k) + 3*b(k). 2*k - 2 Let q = 10 + -7. Let w be (4/8 - q)*-2. Let n(v) = 6*v - 5 - 5*v + 2*v. Let g(k) = k - 1. Determine w*g(o) - n(o). 2*o Let h(z) = 2*z + 1. Let q(s) = s - 4*s + 6*s + 2. Suppose -3*t + 32 = t. Calculate t*h(a) - 5*q(a). a - 2 Let y(i) = -i**3 - i**2 + 4*i. Let k be y(-3). Let c(o) = 4*o + 7. Let b(v) = v + 1. What is k*b(r) - c(r)? 2*r - 1 Let s be -1 + (0 - 0) + 3. Let o(p) = 13*p + 13. Let a(w) = 3*w - 1 + 2 + 2. Determine s*o(l) - 9*a(l). -l - 1 Let d(j) = 1. Let c(s) = -12*s**2 - s - 4. Give -c(k) - 3*d(k). 12*k**2 + k + 1 Let p(m) = 7*m**3 - 2*m - 4. Let g(u) = u**3 - u**2 + u. Let q(x) = 9*x**3 - 3*x**2 + x - 3. Let o(z) = -3*g(z) + q(z). What is -5*o(t) + 4*p(t)? -2*t**3 + 2*t - 1 Let k(p) = -2*p - 4. Let o(q) = 1 + q + 1 + 1. Let u(s) = -s - 3. Let t(d) = -3*o(d) - 2*u(d). Calculate 4*k(w) - 6*t(w). -2*w + 2 Let q(s) = s**3 + s**2 + s - 1. Let l(t) = -7*t**3 - 3*t + 1. What is l(o) + 3*q(o)? -4*o**3 + 3*o**2 - 2 Let o(u) = -1. Let p(z) = -z - 9. Determine -2*o(d) + p(d). -d - 7 Let y(g) = 3*g**3 + 7*g**2 - 4*g + 1. Let l(c) = -3*c**3 - 8*c**2 + 4*c - 1. Determine -5*l(j) - 6*y(j). -3*j**3 - 2*j**2 + 4*j - 1 Let u(h) = h. Let m(g) = -g**3 + g. Let b = 8 - 16. Let z(w) = -w**3 - 7*w**2 - 8*w - 3. Let f be z(-6). Let i = b + f. Calculate i*m(a) - u(a). -a**3 Let b(k) = 1. Let l(r) be the third derivative of r**4/12 - 5*r**3/6 + 12*r**2. Determine 5*b(u) + l(u). 2*u Let k(j) be the first derivative of 3*j**4/4 - 4*
{ "pile_set_name": "DM Mathematics" }
7 What is (-35)/10 + 12/8? -2 What is (30/(-56) - (-36)/126)*2? -1/2 What is the value of -3 + 39/9 - 56/6? -8 What is the value of 3/(-2)*11/(-33)? 1/2 What is the value of 4 - (-234)/91*(-5)/3? -2/7 What is ((-36)/81)/((-4)/54)? 6 What is (15 - 429/30) + (-3)/5? 1/10 Calculate 16/3 + 1 - (-53 + 59). 1/3 What is (-5)/((-165)/36)*(-11)/(-10)? 6/5 Calculate 57 - 55 - 0*1/(-2). 2 What is 24/(-3) - (-33 - -27)? -2 Evaluate -5*1/(-3) + (-4)/2. -1/3 Evaluate 2/10*6/(-48)*-30. 3/4 Evaluate (((-6)/10)/(-1))/((-1830)/(-244)). 2/25 Evaluate ((-12)/156)/(((-15)/6)/5). 2/13 Evaluate 2*(-4 - (-1)/(-4 - -5)). -6 (-10)/70 - (-5)/70 -1/14 ((-3)/(-6))/(12/(-24)) + 3 2 ((80/12)/(-5))/((-44)/(-66)) -2 Evaluate (-3)/2*(-56)/462. 2/11 What is the value of -20*(-4)/16 - 2? 3 (2 + 1)*16/(-48)*1 -1 What is 5/(-30)*-34 - 5? 2/3 What is (8/12*6*-1)/(-4)? 1 What is 1 - (21/36 + (-8)/(-12))? -1/4 What is the value of (-4)/8 + (-1)/((-36)/26)? 2/9 What is 14 - ((-20)/(-10) + 5)? 7 (3 - 2)/((-5)/(30/(-14))) 3/7 What is the value of (-5)/(-6) - ((-48)/(-9))/8? 1/6 What is (5/(-4)*-1)/5? 1/4 (-5)/((-13)/(312/60)) 2 Evaluate (-27)/45 + 430/550. 2/11 Evaluate ((1 - 2)/(-2))/(7/42). 3 ((-6)/8)/(15/4) -1/5 Calculate (21/35 + 0)/(2/(-5)). -3/2 What is (-2 + 0 + -3)/(49 + -48)? -5 Calculate (-8)/(-192) + 2/6 + 0. 3/8 What is the value of ((-6)/60)/((-5)/10)? 1/5 What is (-15 + 615/30)*4/(-2)? -11 (25/(-10))/(-3*(-5)/(-12)) 2 What is -6 + 1 + -2 + 187/27? -2/27 Calculate (1*-63*(-140)/630)/2. 7 10/(-35) + (108/(-70))/3 -4/5 Evaluate 4*(-2)/(-10) - 1638/2835. 2/9 28/(-5) + (43 - 38) -3/5 (1 + -5)/4 + -2 -3 (5 - 84/18)*(-12)/(-10) 2/5 What is (3/(-294)*-7)/(1/(-4))? -2/7 Evaluate 1/(-3)*378/(-42). 3 What is the value of 4 + (-47)/9 - -1? -2/9 Calculate 1 + -6 - (-23)/5. -2/5 Calculate 2/(91/14 + -6). 4 What is (3/17)/((-12)/8)? -2/17 Evaluate (-4)/(-11)*(1501/(-570) + 3). 2/15 What is 4/20 + 23*3/(-195)? -2/13 What is the value of (-3)/((-30)/(-58)) + (-37)/185? -6 Evaluate (0 - 1/(-2))*(-36 - -28). -4 What is (79/16 - 4)*(-28)/(-70)? 3/8 Calculate ((-70)/98)/(2/(-14)). 5 Evaluate -9 - 11/(-484)*404. 2/11 What is the value of -1 + 4 - (4 - -2 - 6)? 3 Evaluate ((-4)/8)/(2/12). -3 What is the value of 1 - (6/(-48))/((-2)/12)? 1/4 Calculate (-3)/45 + (-1)/(-5). 2/15 Evaluate (-24)/(-30)*5 - 9. -5 Calculate 360/(-140) - ((4 - 1) + -5). -4/7 Evaluate (22/(-231) - -5) + -5. -2/21 What is (26 - 26)/(0 + (1 - 0))? 0 Evaluate (12/(-16))/(54/(-12)). 1/6 Calculate 4 - -1 - (-2 + (-3 - -5)). 5 Calculate (35/175)/((-1)/5). -1 What is 6/57 - 4/38? 0 What is the value of 4/(-6) + 24/(-9) + 4? 2/3 2/45*(0 + -7 - -4) -2/15 66/(-330)*(1 + -4) 3/5 Calculate 21*(-2)/80 - 162/(-405). -1/8 Calculate -2*5/10*-3. 3 What is (0 + (-11)/(-4) - 5) + 3? 3/4 What is (-4)/26 - 336/(-4550)? -2/25 What is 18/(-48)*2/3? -1/4 Calculate 3/(-20) - 13/52. -2/5 14/36 - (-3)/(-18) 2/9 Calculate ((-6)/(-15))/((-5)/25). -2 What is (-2)/(-10)*(-19 - -17)? -2/5 What is -7 - 40/8*-1? -2 What is the value of 7*(28/343)/(-2)? -2/7 Evaluate 1/2*(7 + -8). -1/2 What is (-55)/(-165)*(0 - 0)? 0 Evaluate ((-112)/(-20) + -4)/(9/(-45)). -8 What is 1/5*20/(-16)? -1/4 What is the value of 12/(-40)*(-6)/(-9)? -1/5 Evaluate (12/(-7))/(-4) + (-925)/2975. 2/17 5476/(-1184) - 3/8 -5 Evaluate (-2)/(5*4/8 - 3). 4 (-7*(-14)/49)/((-4)/(-10)) 5 Calculate 423/693 + 2/(-11). 3/7 Evaluate 18/(-60)*(-1 + 3). -3/5 What is the value of (1323/2058)/(24/(-14))? -3/8 What is the value of (-3)/21 - 345/(-161)? 2 5*(-1)/(5 - 6) 5 What is (-6)/(-4)*(-24)/4860*-30? 2/9 What is ((-1 + 5)*(-18)/(-144))/(-1)? -1/2 Calculate 48/(-48) - (-21)/23. -2/23 (2/14)/((-274)/959) -1/2 28/(-42) - 20/(-15) 2/3 What is the value of ((-312)/30 + 10)/(8/(-15))? 3/4 4060/350 - (-22)/(-2) 3/5 What is the value of (14/(-21))/(((-5)/(-6))/(-5))? 4 What is the value of 16/24 + (-1)/24 + -1? -3/8 What is 135/21 - (-138)/(-322)? 6 -3*(-5)/(-20) + 1/(-4) -1 What is (3/51)/((-5)/(-10))? 2/17 What is -6*(-9)/315 - (-4)/10? 4/7 Evaluate (-51)/(-12) - 3/24*2. 4 What is 16/18*(-174)/116*-1? 4/3 Calculate (2 - 1267/651)/(20/24). 2/31 396/187 + (1 - 3) 2/17 Evaluate (-44)/(-10) + 1 + -5. 2/5 What is the value of ((-3)/14)/(4 - (-13)/(-4))? -2/7 What is 9 + -6 + (-56)/14? -1 (-2)/28*2*-7 1 Evaluate (-33 + 28)*(0 + 16/(-20)). 4 Calculate (-126)/15 - (-216)/27. -2/5 What is 1150/110 + -9 + (2 - 4)? -6/11 ((-2)/(-60))/((-16)/(-40) + 0) 1/12 What is the value of 12/(-20) + 1 + (-44)/10? -4 (84/70)/((-2)/15) -9 Evaluate 10/(-15) + (-56)/(-192). -3/8 What is the value of 25*(2 + (-64)/40)? 10 What is 2/(8/6)*312/(-234)? -2 Calculate (2/18)/((-1)/(-2)). 2/9 (-3)/1 + (-5)/((-40)/21) -3/8 What is -2*(-1 + 6/(-4))? 5 Calculate (-3)/(-3)*(4 + -4). 0 Calculate (199 + -191)*(-2)/(-16). 1 (-114)/36 + (-4)/(-24) -3 (-31)/(-6) + (6/3)/(-12) 5 4 + -1 - ((4 - 1) + 2) -2 What is the value of (7 + -3 - (0 + 2))/7? 2/7 Evaluate 5 + -2 + -14*1/2. -4 What is the value of 12 + 30*1/(-3)? 2 Evaluate (-90)/105*(18/12)/3. -3/7 What is -2 + ((-24)/(-8) - 7) - 1? -7 (-105)/(-1225) + 2/10 2/7 What is 20/(-96)*-4 - 1? -1/6 Calculate (-17)/((-6069)/2533) + (1 - 8). 2/21 Calculate 2/7 - (-2 - (-121)/56). 1/8 16/(-10) - (-2)/(10/3) -1 (8 - 0 - 11) + -6 -9 What is the value of 40/16*48/15? 8 Calculate (15 - 13)*3 - 2. 4 Calculate (-1 + 2)/(-2 - -1). -1 What is (28/42)/((-4)/(-2))? 1/3 19/57 - (-5)/(75/(-2)) 1/5 Evaluate ((-11)/((-770)/30))/(2/2). 3/7 Evaluate (210/63)/(((-10)/(-3))/(-5)). -5 Calculate 1/(((-2 - -3) + 0)/1). 1 (1/3)/1 + (-91)/21 -4 Calculate (-17)/6 + (-897)/46 + 22. -1/3 What is the value of 231/(-49) + -2 - -7? 2/7 Evaluate ((-1)/(-15))/(43/(-215)). -1/3 What is 8/(-12) - 35/30*-4? 4 What is the value of 129/(-1204)*4/6*4? -2/7 Calculate -4 + (-144)/(-27) + -3. -5/3 What is the value of ((-8)/36 + (-33)/(-27))*1? 1 Evaluate ((-1)/3)/(2/24). -4 Calculate (-350)/6825*(1 + (0 - -2)). -2/13 (-2)/10 - (17 + (-1890)/75) 8 Calculate 13/13 - (17 - 9). -7 What is (-16)/6 - 5/(30/(-18))? 1/3 Calculate ((-400)/96 - -4) + (-14)/(-12). 1 Evaluate ((-7)/28*1)/(9/(-4)). 1/9 17*132/374 + 8/(-2) 2 Evaluate (-322)/(-65) - 5 - 2/(-10). 2/13 (-2*(-14)/8)/((-50)/(-100)) 7 Calculate (-95)/114*3/10. -1/4 What is (5 - 4 - -1) + 117/(-63)? 1/7 1/2*(-1 + -4 + 5) 0 What is the value of -7 + (364/35 - 3)? 2/5 Calculate -8 + (-28 - -54) + -8 + 1. 11 Evaluate (2/(-12))/(9/36). -2/3 What is (-4)/(-16)*(-1 - -5)? 1 (-54)/(-24) + 3/(-12) 2 ((1 - 2) + 1)/(-54 - -53) 0 Calculate 6/9 + 1386/189. 8 ((-1)/3)/(33/(-6) - -5) 2/3 Evaluate (3 + -4)/(2/(-12)*-2). -3 12/(-9) + 20/15 0 What is the value of 1/1*(-24 + 26)? 2 Evaluate 12 - (3 - -11) - 6. -8 Calculate (-10)/6*(-66)/55. 2 (-1 - 69/(-6))*(-66)/(-99) 7 What is the value of 10 - 7 - (-5)/((-5)/(-2))? 5 What is the value of (32/56)/((-16)/(-224))? 8 Evaluate -2 - 1 - (-5)/1. 2 Calculate (-9)/11 - -1 - (-400)/(-990). -2/9 ((-54)/(-90))/(12/(-15)) -3/4 Calculate 18 + (-22)/1 - (2 - 1). -5 What is (-28)/(-32) + (-3)/(-24)? 1 Calculate ((-14)/(-6) - 3)/((-2)/12). 4 2 - (0 - (-42)/12) -3/2 Evaluate 6/(-21) + 48/42. 6/7 What is -3 - 76/(-28) - 10/14? -1 Calculate 9/6*(-80)/210*-1. 4/7 (9/12)/(6/192*-4) -6 Evaluate 1/5 + (-35)/(-150)*-3. -1/2 (1665/(-150) - -12)*2/6 3/10 (-19)/(418/4)*(2 - 3) 2/11 (47 - 46)/(1/7) 7 (81/(-6))/(39/(-26)) 9 Calculate 2/76*8/10*5. 2/19 What is (39/(-13))/1 - (-8 + -1)? 6 Evaluate (2/8)/(59/708). 3 Evaluate (-4 + 1)/(75/50). -2 What is the value of 6/4 + (-6)/4? 0 -25 + 24 - (-3 - 0) 2 Evaluate ((-2)/6 - -1)*225/400. 3/8 Evaluate (6/(-4))/((-6)/(-8)). -2 8/(352/(-121)) + 2 -3/4 What is the value of (3 - 84/12) + 7? 3 Calculate 462/49 - (-3 - -12). 3/7 Calculate 1 - 93/9 - 8/(-6). -8 Evaluate (-30)/(-175)*-4 - 4/(-10). -2/7 Evaluate (-21)/((-210)/40) - 11. -7 Evaluate ((-2)/(-1) + 7)/((-54)/36). -6 Calculate (12/10)/((-63)/210). -4 Calculate 7 + 368/(-60) + (-1)/5. 2/3 Calculate ((-6)/39 + (-37)/13)/7. -3/7 Calculate (16/(-4))/2 - (-20)/11. -2/11 Calculate (-36)/18 - (5 + -3 - 1). -3 48/(-84)*56/176 -2/11 Calculate (-3136)/(-1456) + (-1 - 22/(-26)). 2 What is the value of (-16)/(-216) - (-298)/(-378)? -5/7 What is (-6 + 7 + -1)/(-2)? 0 What is the value of (0 + (-5)/10)*2? -1 Evaluate -2*(-1)/(-2)*1 + -1. -2 What is the value of (-36)/66 - 4/((-264)/102)? 1 What is (-1 -
{ "pile_set_name": "DM Mathematics" }
00 = m + u*m. What is the least common multiple of -2*2/4*-4 and m? 20 Suppose 3*w - 4*k + 10 = 0, 3*w - 2*k = -6*k + 22. Suppose 2*d - 23 = p - 0*p, -w*d - 5*p - 7 = 0. Let n = 4 - 2. What is the least common multiple of d and n? 18 Let u(n) be the second derivative of -n**4/12 + 5*n**3/3 + 13*n**2 - 46*n. Suppose -3*p + 14 + 7 = 0. Calculate the smallest common multiple of u(12) and p. 14 Let a(u) = 5*u**3 - u**2 + 2*u - 1. Let j be a(1). Let h = j + -3. Let n(c) = -c - 4. Calculate the lowest common multiple of n(-8) and h. 4 Let x = -595 + 727. Calculate the smallest common multiple of x and 48. 528 Suppose k - 4 = a, -3*k - a = k - 11. Let i = 15 + -40. Calculate the lowest common multiple of 114/15 - (60/i - -3) and k. 21 Suppose -4*y - 3*n + 30 = 0, y - 2 = -2*n + 4*n. Suppose -6 = -3*o + y. What is the lowest common multiple of o and 16? 16 Find the common denominator of 13/22 and -1*((-7505)/(-7690))/19. 16918 Let i = 303233/90 - 4479467/1332. Let f = 63/148 - i. Find the common denominator of f and 16/27. 135 Suppose 1 = 2*p - s - 4, 2*s = 6. Let h = p + -1. Suppose 5*o - 22 = -n + 4*o, n = h*o + 6. What is the lowest common multiple of n and 4? 36 Let p(d) = -d**2 + 12*d - 23. What is the least common multiple of p(8) and 2? 18 Let d = -20 + 24. Suppose 4*u = d*q + 128, -3*u + 5*q + 22 = -74. Let k(t) = 10*t**3 + t**2 - t. What is the least common multiple of k(1) and u? 160 Calculate the common denominator of -33/14 and (-88)/22 + (-45174)/(-11424). 1904 Suppose 45 = i + 44. What is the smallest common multiple of i and 126? 126 Suppose -3*s - s + 11 = -5*l, 5*l - 5 = 0. Suppose -2*t + 5*o - s*o + 26 = 0, o - 19 = -t. Calculate the lowest common multiple of 33 and t. 165 Let m = 46931/6 - 7839. Let a = 211327/12 - 17599. What is the common denominator of m and a? 12 What is the least common multiple of 95 and (-20)/(-6)*-3 - -65? 1045 Let h(n) = -2*n + 20. Let s be h(11). Let b = 37 - 19. Let m = b + s. What is the lowest common multiple of 18 and m? 144 Suppose 5 = l + 4. Let g(p) = -p**2 + 10*p + 12. What is the lowest common multiple of g(11) and l/9 + 284/36? 8 Suppose -5*i + 2*l + 86 = l, 0 = 5*i + 2*l - 98. Let a = -33 + i. Find the common denominator of 54/7 and a/(-75) - 698/(-60). 42 Let l = 383181/22 + -17422. Suppose -5*z = 2*z - 28. Calculate the common denominator of l and z/(-2) - 21/98. 154 Let h(o) = -o**3 + 9*o**2 - 8*o - 15. Find the common denominator of 7/10 and h(7). 10 Let b be 8/((4 - 3) + 1). Suppose -b*w = -3*z - 39, 3*z - 2*z - 17 = -2*w. Let y = -1 + w. What is the least common multiple of 9 and y? 72 Suppose 2*b - 215*y + 212*y - 257 = 0, -5*b - 2*y = -671. Calculate the lowest common multiple of 6 and b. 798 Suppose 0*b = 20*b - 60. What is the lowest common multiple of b and 13? 39 Suppose -415 = -29*s - 67. Let z = 10 + -7. Calculate the smallest common multiple of s and z. 12 Let f(q) = q**3 - 6*q**2 + 2*q + 8. Let i(j) = -j**2 + 30. Let x be i(0). Suppose -8*o + 3*o = -x. Calculate the least common multiple of f(6) and o. 60 Let j(t) = 15*t**2 - 7*t + 2. Calculate the smallest common multiple of j(1) and 6. 30 Suppose -f - 3*f = 80. Suppose 15 = -o - 3. Calculate the common denominator of 43/11 and (33/o)/((-4)/f). 66 Find the common denominator of 145/6 and (-2802)/(-2760)*-2 + 2. 690 Let m = -576 - -118081/205. Let r = m + 1017/1640. Find the common denominator of (2/4)/(20/(-392)) and r. 40 Suppose -6*g + 4*s - 25 = -g, 25 = -5*g + 5*s. Let d = g + 7. Calculate the lowest common multiple of d and 11. 22 Let y = 270442 + -2395364/9. Let n = -4296 + y. Calculate the common denominator of n and -97/10. 90 Let x(o) = -45*o**2 + 2*o + 1. Let n = 16 - 17. Let d be x(n). What is the least common multiple of d/(-8) + 12/(-16) and 10? 10 Let c = 2497/90 + -11/45. Find the common denominator of c and (-6)/(-27)*((-4173)/(-8))/13. 12 Suppose -3*t + 0 = -15. Suppose 9*i = t*i + 144. What is the least common multiple of 22 and i? 396 Let f(m) = -23*m + 1. Let y = 451 + -415. What is the least common multiple of f(-1) and y? 72 Let g(h) = -h**2 + 4*h + 3. Let i be g(6). Find the common denominator of (-5)/4*56/20 and (-41)/12*12/i. 18 Suppose j + 2*c = 2*j - 13, -3*j + 3*c = -39. What is the lowest common multiple of j and 4? 52 Let c(t) = 39*t - 38. Let n be c(-4). What is the common denominator of (9 - 4) + n/16 and -91/24? 24 Suppose 6*v = 2*v + 80. Suppose -14 = -3*d + 34. Calculate the least common multiple of v and d. 80 Let c = -4574047/66 - -69302. Find the common denominator of c and 113/54. 594 Suppose m = -297 + 13. Find the common denominator of (-8)/(-20) - (m/(-15))/(-4) and 41/30. 30 Let u = 473/4 - 6313/52. Let p = 31/15 - -307/120. Calculate the common denominator of p and u. 104 Let b be (-216)/(-28) - (-4)/14. Suppose -g = -3*g + b, -4*q + 12 = 2*g. Calculate the least common multiple of 11 and q. 11 Let n(x) = x**3 - 9*x**2 + x - 9. Let u be n(9). Suppose u = 7*g + 2*g - 18. What is the smallest common multiple of 6 and g? 6 Let s be 795/(-5)*8/3. Let p = 275 + s. Find the common denominator of 65/3 and (-12)/(-30) + p/10. 6 Suppose -7*t - 143 = -157. Calculate the least common multiple of 16 and t. 16 Let s = -1609 + 1669. Calculate the smallest common multiple of s and 30. 60 Let y = 781361/158916 - 2/13243. Calculate the common denominator of -115/18 and y. 36 Suppose 2*n = -0*n - 5*l + 28, -3*n + l = -42. Calculate the common denominator of (74/(-20))/(n/35*-5) and -23/6. 60 Suppose 0 = -2*r + 7*f - 2*f + 28, 5*f = -2*r + 28. What is the least common multiple of (-1)/(-1) + (19 - 0) and r? 140 Let n be 95/(-19) - (-329254)/40. Let q = 17249 - 9021. Let u = n - q. Calculate the common denominator of -51/2 and u. 20 Let o(d) = d**2 - 7*d - 11. Let v be o(10). Suppose -13*c + v*c = 198. What is the least common multiple of 9 and c? 99 Find the common denominator of 51/23 and -4 + (130/70 - (2 - 1)). 161 Calculate the common denominator of 20/54*68/(-136) and -1/81. 81 Suppose a - k - 115 = 0, -5*a - 5*k + 628 = 83. What is the smallest common multiple of 24 and a? 336 Suppose -16*c - 3*c = -1064. Calculate the lowest common multiple of c and 10. 280 Suppose 0 = -0*k - k - 4. Calculate the common denominator of ((-1)/(-6))/(k/262) and -127/6. 12 Let n be (262/5)/(-1) - (-3)/(-5). Let f = 73 + n. What is the least common multiple of 32 and f? 160 Let i be (25/20)/(2/8). Suppose -5*x + 60 = -i. Find the common denominator of 6/4*x/3 and -56/11. 22 Let k = 34021/276032 - 103/1216. Find the common denominator of k and 73/32. 7264 Let j = -9 + 19. What is the smallest common multiple of 15/6*8/j and 1*-3*18/(-27)? 2 Suppose -753 - 903 = -23*f. What is the least common multiple of f and 64? 576 Let n = 37 + -25. Let g = -126323/180 + 6286/9. Calculate the common denominator of -2 - (42/(-20) - 3/n) and g. 20 Let w(x) = 68*x + 3. Suppose 0 = -0*m - m - 2. Let f be w(m). Calculate the common denominator of 53/3 and f/21*1/(-5). 15 Find the common denominator of -556*(-5)/15*2/(-224) and -103/48. 336 Let v = -37 + 19. Calculate the common denominator of 250/v*18/(-12) and -91/10. 30 Suppose 0 = i + 2*i - 15. Suppose 55 = i*w - 0*w. Let g(d) = d - 9. Calculate the least common multiple of 8 and g(w). 8 Suppose -2*j - 5*y = -67, 0 = j - 5*y - 49 + 8. Calculate the least common multiple of 40 and j. 360 Let h = -98457/20 + 4924. What is the common denominator of 2 + ((-394)/40 - -2) and h? 20 Suppose 3*x = -2*f + 38 + 28, 0 = 5*f - 15. Calculate the lowest common multiple of 2 and x. 20 Let i be ((-2)/4)/(12/(-120)). What is the common denominator of i/(10/(-51)) + -1 and 638/70 + 8/28 - 2? 10 Suppose -2*u + u - 4*c = -34, 5*c = 5*u - 45. Let z = -9 + -1. Let m = u + z. Calculate the smallest common multiple of 2 and m. 4 Let a = -357066 - -3920133/11. Let w = -687 - a. Find the common denominator of 1/5 + (-206)/5 and w. 11 Let p = 31 - 1. Suppose -3*c + p = -c. Suppose 2*z = c - 5. Calculate the lowest common multiple of z and 12. 60 Suppose 5 - 17 = -3*r. Calculate the smallest common multiple of r and (-8)/5*165/(-66). 4 Let h = -187 - -256. Calculate the lowest common multiple of 10 and h. 690 Let o be 0 - (-1 + 2 - -1). Let c = -2171/3 + 736. Calculate the common denominator of (29/28)/(o/8)
{ "pile_set_name": "DM Mathematics" }
**3. Let o(u) = 5*u. Let c be o(-1). Give j(c). -1 Let i = 569 - 569. Let n be 5/(-1)*(12 + i)/12. Let b(w) = -2*w - 2. Calculate b(n). 8 Suppose 4*n = k + 2*k - 5, -2*n - 10 = 0. Let y(s) = -6 - 685*s + 106*s + 583*s - s**3 - 4*s**2. What is y(k)? -1 Let l(g) = 2*g**2 - 2*g + 1. Let i(p) = 8*p**2 - 21*p + 12. Let d(s) = -i(s) + 2*l(s). Calculate d(5). -25 Suppose -17*p + 20 + 57 = 9. Let y(r) be the third derivative of 5/24*r**p - 1/30*r**5 + 0*r + 0 - 25*r**2 + r**3. Give y(5). -19 Let l(v) = v**3 + 5*v**2 + 2*v - 3. Let i = 1925 - 1929. Give l(i). 5 Let g(j) = -23*j**3 + j**2 + j. Let a(d) = -d**3 - 26*d**2 + 58*d + 55. Let l be a(-28). Give g(l). 23 Let h(k) = k - 3. Let b = -25 + 151. Suppose 0 = 3*q + l - 18 - b, q - l = 48. Suppose 6*d + 2*d = q. What is h(d)? 3 Let l = 27389 + -27386. Let u(d) = 13*d - 40. Determine u(l). -1 Let f(m) = -m - 5. Let h be f(-7). Let o(w) = -h + 0*w + 4*w + 2*w. Let d be 40 + -43 + 1/((-2)/(-10)). Determine o(d). 10 Let z = -10769 - -10766. Let y(v) = v**3 - 3*v**2 - 4. Calculate y(z). -58 Suppose 2*g - 3*h = 5 - 23, 3*h - 36 = 4*g. Let b(o) = -6 - 8808*o + 17534*o - 16 - 8727*o. Determine b(g). -13 Suppose -21*t - 10 = -22*t + 2*h, h - 2 = 4*t. Let y(f) = 2*f**2 + f + 1. Give y(t). 7 Let y(a) = 2*a**2 + 1 - 6*a**2 + 2*a**2 + 2*a. Let m = -108 + 155. Let i = 46 - m. Calculate y(i). -3 Suppose -14 = -19*u + 12*u. Let l(i) = -4*i - 20*i - 10*i**2 - i**3 + u*i**3 - 2 + 13*i. Give l(11). -2 Let f(b) = -2*b**2 - 4*b - 2. Let u(m) = 25*m**2 + 2*m + 1. Let r be u(3). Let g = r + -235. Give f(g). -8 Let g(t) = 3*t. Let d be g(-1). Let l(h) be the first derivative of h**4/24 - h**3/6 - 67*h**2 + 155. Let m(z) be the second derivative of l(z). Calculate m(d). -4 Let k = 5303 - 5335. Let r(b) = -b - 28. Give r(k). 4 Let f(d) = 16*d + 19 + 8 + 276*d**2 + 10*d + 280*d**2 - 561*d**2. Calculate f(6). 3 Let o(n) = -16*n + 125. Let m(t) = 5*t - 36. Let r(j) = -7*m(j) - 2*o(j). Calculate r(9). -25 Let z(o) = -4*o + 2. Let w(h) = -h + 1. Suppose 5*b - 3*p = 36, 0 = b - 3*p - 12. Let y = -2 - 0. Let s(n) = b*w(n) + y*z(n). What is s(4)? 10 Suppose 54 = 6*v + 24. Let o(t) = t**3 + 193*t + 1 + 1 - 193*t + v*t**2. What is o(-5)? 2 Suppose -2*y + 4*y - 5*c = 24, c = -y + 5. Suppose -y*g = 21 - 7. Let s(t) = -2*t + 1. Give s(g). 5 Let s(f) = -6*f**3 + 2*f**2 + 5*f + 4. Suppose 5*n + 17 = 3*k, 3*k = -0*k - 5*n - 23. Give s(k). 7 Let s(u) = -u**3 + 2*u**2 - 1. Suppose -161 = -2*v + 49. Let t = -103 + v. Suppose 2*n + 3*h - 3 = 0, 0*n - t*n = -4*h - 10. Give s(n). -10 Let v(g) = g**3 + 7*g**2 + 5*g - 4. Let c be v(-6). Let i(j) = c*j - 3*j**2 + j**3 + 2*j - 13*j + 4*j + 4. Let t(r) = r + 19. Let o be t(-15). What is i(o)? 0 Let g(n) = -n**2 + 4*n + 6. Let a(v) = -v**2 + 25*v - 62. Let h be a(20). Let d = 44 - h. Determine g(d). -6 Let p be 0 - ((-8)/2 + 2). Let u(l) = -2*l**2 + 7987*l**3 - 2673*l**3 - 2656*l**3 - 2*l - 2657*l**3 + 3. What is u(p)? -1 Let p(h) = 2*h - 1. Let f(i) be the third derivative of -i**4/12 + 16*i**3/3 - 40*i**2. Let z be f(15). Calculate p(z). 3 Let c(g) = 4*g - 1. Let a(b) = -b + 1. Let h(w) = 3*a(w) + c(w). Suppose -2*m + 26 = 254*d - 257*d, -3*d - 22 = 2*m. Give h(d). -6 Let y = -773 + 26. Let k be y/(-12) + (-3)/12. Let c = k - 62. Let s(z) = z**3 + z**2 + 10. What is s(c)? 10 Let y(l) = 12*l**2 - 7*l + 6*l**2 + 933 - 22*l**2 - 931 + l**3. Suppose 5 = -2*m + 15. What is y(m)? -8 Let k(c) = -3*c**2 + 6*c - 2. Let r(y) = -y**2 - 13*y + 2. Let s(l) = 6*l - 1. Let d(f) = 2*r(f) + 5*s(f). Let n(g) = 5*d(g) - 3*k(g). Give n(2). 1 Let a(i) be the first derivative of i**3/3 - 21*i**2/2 - 354*i - 7583. Give a(32). -2 Suppose -410*h + 527 = -399*h - 111. Suppose -330 = 5*i - w, -w = -5*i + 2*w - 330. Let c = h + i. Let l(z) = z**2 + 6*z - 6. Determine l(c). 10 Let c(z) = z**2 - 4*z + 2*z + 1 + z - z**3. Suppose 13*s + 111 = 15*s - k, -2*k = -5*s + 276. Suppose 2*m = -p - 1, 0 = 3*m + 3*p - 48 + s. Determine c(m). 0 Let z(m) be the first derivative of 43*m**2/2 - 437*m - 4963. Calculate z(10). -7 Let z(t) = -t**3 - 5*t**2 - 4. Let c(w) = w**3 + 11*w**2 + 7*w - 35. Suppose 9*x - 2*x + 70 = 0. Let i be c(x). What is z(i)? -4 Let v(c) be the third derivative of c**5/60 - c**4/24 - c**3/2 - c**2. Let o = 782 - 778. Suppose f - 2*y = -8, 5*f = o*y + y - 20. Determine v(f). -3 Let n(q) be the first derivative of -2*q**2 + 90*q + 3938. Determine n(18). 18 Let n be (-30)/40 - (-1 - (-46)/(-8)). Let b(i) = -n*i**2 + 18*i**2 - 8 - 1 - i**3 - 10*i**2 - 12*i**2. What is b(-10)? -9 Suppose -78 - 4 = 2*c. Suppose 0 = 39*g - 31*g + 336. Let a = g - c. Let n(x) = -2*x + 1. What is n(a)? 3 Let t(m) be the first derivative of m**4/4 - 5*m**3/3 + m**2 + 4*m - 243. Let u(x) = x**3 + 7*x**2 - 8*x + 3. Let f be u(-8). Give t(f). -8 Let x(d) = -d**2 - 14*d - 4. Let s(p) = 16*p + 150. Let i be s(25). Let j = i - 560. What is x(j)? 36 Let t be (-10)/4*(10 - 0). Let q = 19 + t. Let x(s) be the second derivative of -s**3/2 - s**2 + 145*s. What is x(q)? 16 Let a = -146 - -154. Suppose -1 = -a*p - 17. Let n(f) = f + 2. What is n(p)? 0 Let j(w) = -2*w**3 + 18*w**2 + 19*w + 7. Let q be -6*39/(-24) + 8/32. Calculate j(q). -3 Let k(o) = 3*o**2 + 3*o + 3. Let d be 3/(-15) - 556/20. Let u = 33 + d. Suppose u*v - 6 = -4*j + 7*j, 4*j + 8 = -5*v. Calculate k(j). 9 Let u(i) = -i + 11. Suppose -34*j - 383 + 77 = 0. Determine u(j). 20 Let q(l) = -l**3 + 14*l**2 + 13*l + 20. Suppose -12*k - 192 = -18*k. Suppose k*d = 37*d - 75. What is q(d)? -10 Let b = -131 - -129. Let q(w) = -4 + 4 + 2*w + w**2 + 4 - 5. What is q(b)? -1 Let w = 235 + -375. Let r = w + 144. Let d(f) = f**2 - 8*f - 4. Let p(i) = -i**2 + 9*i + 5. Let y(m) = -6*d(m) - 5*p(m). Give y(r). -5 Let r(c) = c**2 - 4*c - 9. Suppose -10*x = -9*x - 3. Suppose 0 = 5*l - 2*f, -6*f + 3*f = x*l. Let k(a) = -a**2 + 7. Let j be k(l). Give r(j). 12 Let h(l) be the third derivative of l**3 + 1/4*l**4 - 141*l**2 + 1/120*l**6 + 0 + 2*l + 1/10*l**5. What is h(-5)? 1 Let w(r) = -31*r - 272*r**2 + 22 + 563*r**2 - 276*r**2. Let v(z) = 7*z**2 - 14*z + 11. Let y(t) = -13*v(t) + 6*w(t). Calculate y(-5). -16 Let k(f) = f**3 + 34*f**2 - 35*f - 3. Suppose 2610 = -59*j + 545. Calculate k(j). -3 Let k(a) be the third derivative of -a**6/120 - a**5/60 - a**4/24 - 6856*a**2. Let h be (-2)/(-8) - (-45)/(-20). Calculate k(h). 6 Suppose 0 = -k - 2*t + 171, 0 = 18*k - 23*k + t + 844. Let l(d) = k*d - 9*d**2 - 3 - 180*d + 8*d**2. Determine l(-10). 7 Suppose 0 = 10*b + 5*w - 120, -16 = 4*b - 8*b + 2*w. Let a(r) = -3*r**2 + 30*r - 12. Give a(b). 36 Let q(a) = 4 - 1829*a + 1829*a + a**3 + 3*a**2. Let y be q(-3). Suppose 0*t = -h - t - 4, -3*h = y*t + 10. Let m(v) = -v**2 - 9*v - 7. Determine m(h). 11 Suppose 0 = 2*i + i - 48. Suppose -2*k + 4*j = -i, 4*k - 12 = 2*k + 3*j. Let u(x) = -19*x - 183. Let v(n) = -5*n - 45. Let p(g) = -u(g) + 4*v(g). Give p(k). 3 Let u(t) = t**3 + 20*t**2 - 48*t + 33. Let y be u(-22). Let d(f) = 8*f - 7*f - y + 99. What is d(0)? -22 Let p(m) = m + 13. Suppose -3*i + 233 + 22 = -5*t, -5*t + 4*i = 260. Let n be (-6 - t/8) + -6. Determine p(n). 7 Suppose 704*p - 707*p - 33 = 0. Let y(m) = -17*m + 0*m**2 + 12 + 40*m - 5*m**2 - m**3 - 4*m**2. Determine y(p). 1 Suppose 11*c - 2581 - 1368 = 0. Let w = c + -361. Let a(j) = -j**2 + 2 + 4*j + 8*j**2 - 3*j**2. Determine a(w). 10 Let v(i) = -i**3 + 3*i**2 + 21*i - 47. Let a be v(5). Let k(f) = 0 + 0*f - 4 + f. Calculate k(a). 4 Let p(x) = 20*x**3 + 21937*x**2 + 2*x + 21943*x**2 - 43881*x**2. Give p(1). 21 Let a = 58 + -33. Let u = -29 + a. Let w(h) = -4*h**3 - 2*h**2 + 5*h - 2. Let k(s) = 3*s**3 + 3*s**2 - 5*s + 2. Let b(r) = u*w(r) - 5*k(r). Determine b(6). -8 Suppose -2*m + 6*m - 100 = 0. Let x(i) = 18 - m + 0 + i. Determine x(6). -1 Let r(m) = -5*m**2 - m - 1. Let u = 1 + 6. Let s be -15*1*(-156)/234. Suppose 17*p + u = s*p. What is r(p)? -5 Let f(d) = -362*d + 1078. Let o be f(3). Let k(q) = q**3 + 9*q**2 + 8*q + 9. What is k(o)? 9 Let b(a) = 3*a + 2. Suppose -5*t = 2*q - 11, 4*q - 2*t + 38 = 24. What is b(q)? -4 Let x(j) = 8*j - 105. Suppose 0 = -2*l - 6, -14*i + l = -15*i + 12. Determine x(i). 15 Suppose -2*c - 1 = -7. Let r(p) = 0 + 211*p + 4 - 210*p + c. Determine r(-7). 0 Let u(b) = b**3 - 6. Suppose 77 = 35*i - 31 - 32. Determine u(i). 58 Let h(y) = -y +
{ "pile_set_name": "DM Mathematics" }
? 4:05 PM How many minutes are there between 5:38 PM and 3:37 AM? 599 How many minutes are there between 8:55 PM and 7:15 AM? 620 What is 387 minutes after 2:20 PM? 8:47 PM How many minutes are there between 7:11 AM and 1:45 PM? 394 What is 624 minutes after 4:02 AM? 2:26 PM How many minutes are there between 3:10 PM and 1:07 AM? 597 What is 327 minutes before 7:32 AM? 2:05 AM How many minutes are there between 4:42 AM and 4:22 PM? 700 What is 472 minutes before 11:44 PM? 3:52 PM What is 432 minutes after 10:32 AM? 5:44 PM What is 366 minutes after 4:18 PM? 10:24 PM What is 71 minutes before 8:14 AM? 7:03 AM How many minutes are there between 8:45 PM and 1:50 AM? 305 How many minutes are there between 9:56 AM and 9:40 PM? 704 How many minutes are there between 11:17 PM and 3:51 AM? 274 What is 530 minutes before 7:53 PM? 11:03 AM How many minutes are there between 2:16 PM and 1:47 AM? 691 How many minutes are there between 8:21 PM and 10:02 PM? 101 How many minutes are there between 1:11 PM and 11:10 PM? 599 How many minutes are there between 6:54 AM and 6:41 PM? 707 What is 328 minutes before 8:30 AM? 3:02 AM How many minutes are there between 3:04 AM and 11:54 AM? 530 What is 398 minutes before 1:06 AM? 6:28 PM What is 12 minutes before 9:53 PM? 9:41 PM How many minutes are there between 4:14 AM and 6:20 AM? 126 What is 586 minutes before 6:48 AM? 9:02 PM How many minutes are there between 9:09 PM and 1:34 AM? 265 How many minutes are there between 10:32 PM and 10:17 AM? 705 What is 376 minutes before 1:14 AM? 6:58 PM How many minutes are there between 3:43 PM and 2:29 AM? 646 What is 707 minutes after 8:09 AM? 7:56 PM What is 557 minutes before 3:38 PM? 6:21 AM What is 612 minutes before 6:22 AM? 8:10 PM What is 236 minutes before 3:52 AM? 11:56 PM How many minutes are there between 1:41 PM and 2:25 PM? 44 What is 321 minutes after 1:11 AM? 6:32 AM What is 470 minutes before 12:44 AM? 4:54 PM What is 385 minutes after 7:22 AM? 1:47 PM What is 289 minutes before 3:27 PM? 10:38 AM What is 690 minutes after 12:22 AM? 11:52 AM What is 132 minutes after 2:32 PM? 4:44 PM How many minutes are there between 3:25 PM and 12:32 AM? 547 What is 570 minutes before 10:22 PM? 12:52 PM What is 141 minutes after 12:18 AM? 2:39 AM What is 585 minutes after 1:15 PM? 11:00 PM How many minutes are there between 10:17 PM and 6:28 AM? 491 What is 470 minutes after 5:52 PM? 1:42 AM What is 305 minutes before 10:06 PM? 5:01 PM How many minutes are there between 6:56 AM and 11:52 AM? 296 How many minutes are there between 2:05 AM and 8:39 AM? 394 What is 466 minutes after 12:43 PM? 8:29 PM What is 309 minutes after 11:52 AM? 5:01 PM What is 304 minutes after 8:03 AM? 1:07 PM What is 504 minutes after 4:19 AM? 12:43 PM What is 636 minutes after 2:16 PM? 12:52 AM How many minutes are there between 2:51 PM and 12:04 AM? 553 How many minutes are there between 4:29 PM and 11:38 PM? 429 How many minutes are there between 5:43 PM and 6:59 PM? 76 How many minutes are there between 8:53 PM and 12:16 AM? 203 How many minutes are there between 7:16 PM and 7:26 PM? 10 How many minutes are there between 11:17 AM and 4:08 PM? 291 What is 355 minutes before 4:35 AM? 10:40 PM How many minutes are there between 10:31 PM and 6:23 AM? 472 What is 524 minutes after 8:11 AM? 4:55 PM How many minutes are there between 3:39 PM and 3:53 PM? 14 What is 687 minutes before 4:30 AM? 5:03 PM What is 416 minutes after 2:14 PM? 9:10 PM How many minutes are there between 4:05 AM and 1:21 PM? 556 What is 51 minutes before 6:48 AM? 5:57 AM What is 470 minutes before 5:40 AM? 9:50 PM What is 253 minutes before 4:07 PM? 11:54 AM How many minutes are there between 5:35 PM and 2:33 AM? 538 How many minutes are there between 12:32 AM and 12:11 PM? 699 How many minutes are there between 6:50 PM and 11:02 PM? 252 What is 581 minutes before 6:49 AM? 9:08 PM What is 605 minutes before 12:51 PM? 2:46 AM How many minutes are there between 3:40 AM and 5:41 AM? 121 What is 667 minutes before 2:41 AM? 3:34 PM How many minutes are there between 5:31 AM and 5:33 AM? 2 What is 194 minutes after 3:13 PM? 6:27 PM How many minutes are there between 10:58 PM and 12:30 AM? 92 What is 327 minutes after 3:50 PM? 9:17 PM What is 399 minutes after 10:55 AM? 5:34 PM How many minutes are there between 7:51 AM and 6:55 PM? 664 What is 405 minutes after 3:26 AM? 10:11 AM What is 588 minutes before 9:13 AM? 11:25 PM What is 687 minutes after 10:22 AM? 9:49 PM How many minutes are there between 11:16 PM and 6:35 AM? 439 What is 715 minutes before 6:00 AM? 6:05 PM What is 624 minutes before 9:37 AM? 11:13 PM What is 223 minutes before 8:37 PM? 4:54 PM What is 587 minutes after 10:15 AM? 8:02 PM What is 130 minutes before 8:08 PM? 5:58 PM How many minutes are there between 7:02 AM and 4:34 PM? 572 How many minutes are there between 7:06 PM and 7:48 PM? 42 What is 344 minutes before 10:15 AM? 4:31 AM What is 611 minutes after 4:34 PM? 2:45 AM What is 27 minutes before 10:45 PM? 10:18 PM How many minutes are there between 2:44 AM and 6:48 AM? 244 What is 107 minutes before 10:51 PM? 9:04 PM What is 181 minutes after 7:54 AM? 10:55 AM What is 264 minutes before 1:36 PM? 9:12 AM What is 705 minutes after 1:53 PM? 1:38 AM What is 470 minutes before 3:32 PM? 7:42 AM What is 597 minutes before 3:12 AM? 5:15 PM What is 117 minutes before 1:38 AM? 11:41 PM What is 185 minutes after 6:59 AM? 10:04 AM What is 264 minutes before 10:31 AM? 6:07 AM What is 647 minutes before 8:10 AM? 9:23 PM What is 360 minutes before 3:30 PM? 9:30 AM What is 599 minutes before 8:51 PM? 10:52 AM What is 595 minutes after 8:07 AM? 6:02 PM What is 211 minutes after 3:49 AM? 7:20 AM How many minutes are there between 4:52 AM and 7:25 AM? 153 What is 366 minutes after 10:24 AM? 4:30 PM What is 445 minutes after 1:22 PM? 8:47 PM What is 402 minutes before 6:22 AM? 11:40 PM How many minutes are there between 5:54 AM and 7:10 AM? 76 How many minutes are there between 4:33 PM and 6:20 PM? 107 How many minutes are there between 9:45 AM and 3:59 PM? 374 What is 582 minutes before 12:06 AM? 2:24 PM What is 410 minutes after 1:38 PM? 8:28 PM How many minutes are there between 8:47 AM and 8:59 AM? 12 What is 56 minutes after 5:15 PM? 6:11 PM What is 328 minutes before 3:02 AM? 9:34 PM How many minutes are there between 3:48 PM and 1:39 AM? 591 What is 139 minutes after 9:30 PM? 11:49 PM How many minutes are there between 6:24 AM and 7:23 AM? 59 How many minutes are there between 11:28 PM and 3:38 AM? 250 What is 371 minutes after 8:11 PM? 2:22 AM How many minutes are there between 3:33 PM and 10:45 PM? 432 How many minutes are there between 3:59 AM and 2:16 PM? 617 What is 432 minutes after 5:44 PM? 12:56 AM How many minutes are there between 7:47 PM and 5:31 AM? 584 How many minutes are there between 5:55 AM and 12:45 PM? 410 How many minutes are there between 6:56 AM and 2:44 PM? 468 How many minutes are there between 2:03 PM and 7:47 PM? 344 What is 630 minutes after 5:10 AM? 3:40 PM How many minutes are there between 9:14 PM and 9:50 PM? 36 What is 587 minutes before 4:06 PM? 6:19 AM What is 244 minutes before 4:19 PM? 12:15 PM What is 328 minutes before 2:17 PM? 8:49 AM How many minutes are there between 3:07 PM and 2:27 AM? 680 How many minutes are there between 12:57 AM and 7:11 AM? 374 What is 235 minutes after 7:44 AM? 11:39 AM What is 589 minutes after 1:10 AM? 10:59 AM What is 525 minutes before 4:43 PM? 7:58 AM How many minutes are there between 8:13 PM and 9:05 PM? 52 How many minutes are there between 7:05 AM and 11:35 AM? 270 How many minutes are there between 10:21 AM and 9:16 PM? 655 How many minutes are there between 3:01 PM and 12:08 AM? 547 What is 570 minutes after 11:03 PM? 8:33 AM How many minutes are there between 5:55 PM and 5:50 AM? 715 How many minutes are there between 12:11 AM and 4:26 AM? 255 What is 564 minutes before 4:44 PM? 7:20 AM What is 697 minutes after 9:33 PM? 9:10 AM What is 652 minutes after 2:07 PM? 12:59 AM What is 76 minutes after 9:47 AM? 11:03 AM How many minutes are there between 9:37 PM and 9:17 AM? 700 What is 700 minutes after 1:47 PM? 1:27 AM What is 493 minutes after 4:22 AM? 12:35 PM How many minutes are there between
{ "pile_set_name": "DM Mathematics" }
488 (base 10) to base 14 -70d036 Convert -2310002 (base 6) to base 15. -24e28 Convert -213335301 (base 6) to base 14. -711833 Convert 14d2e (base 16) to base 11. 590a0 What is 94b3b1 (base 13) in base 2? 1101010001110001111011 -25aa (base 11) to base 3 -11122110 Convert 3142043 (base 5) to base 9. 80346 What is -98839 (base 11) in base 6? -3024003 Convert 627440 (base 9) to base 12. 15b953 -21023303 (base 5) to base 14 -47386 112572 (base 9) to base 15 15028 Convert -4228495 (base 10) to base 4. -100020112033 -346250 (base 11) to base 8 -2062160 -6e6da (base 15) to base 4 -1112010223 440844 (base 16) to base 9 8345000 What is -f1317 (base 16) in base 2? -11110001001100010111 Convert 24abd (base 14) to base 16. 15f4f What is 75d11 (base 14) in base 16? 45a0b What is 6030355 (base 7) in base 12? 2a4944 Convert -10326a (base 12) to base 5. -31120021 Convert 2320022020 (base 4) to base 6. 24100104 -1303310032 (base 5) to base 15 -42cbb2 413302201 (base 5) to base 6 100213144 Convert d1954 (base 16) to base 7. 10203530 What is 23ab0d (base 16) in base 10? 2337549 2187133 (base 10) to base 6 114513341 322040143 (base 5) to base 3 2120012012121 What is -138059 (base 11) in base 16? -34a86 What is 864888 (base 11) in base 2? 101010001100011110010 What is -14382a9 (base 11) in base 7? -30000125 What is -10011211110121 (base 3) in base 4? -12130131121 What is -54d74 (base 15) in base 16? -41d5b Convert 2c136a (base 14) to base 4. 11313333202 What is 130958 (base 12) in base 15? 6286e 22922 (base 14) to base 9 137340 What is -715232 (base 8) in base 10? -236186 Convert -621153 (base 9) to base 5. -43241044 Convert 1101101220 (base 3) to base 2. 110101010000011 21111011000000 (base 3) to base 4 33023122002 Convert -32113142 (base 6) to base 9. -1686368 -41a668 (base 11) to base 6 -22231311 What is -33345511 (base 6) in base 16? -f6793 100221110 (base 5) to base 13 10c38c 3325b4 (base 12) to base 3 1112022020201 -15301224 (base 6) to base 15 -a90ed 523251401 (base 6) to base 12 3079b61 What is 524243031 (base 6) in base 16? 8bdc9b -10166642 (base 9) to base 7 -56350502 What is 1243c58 (base 13) in base 6? 322001215 What is 14bac5 (base 13) in base 8? 1747103 Convert 1370a8 (base 13) to base 12. 1a9525 What is -101323 (base 9) in base 5? -3410132 What is 1160727 (base 9) in base 15? c6bed What is -55277005 (base 8) in base 6? -1102534033 Convert -10101000100111011 (base 2) to base 3. -11101102110 What is -410303 (base 11) in base 4? -2200330023 What is -1201441431 (base 5) in base 6? -135134013 -6233 (base 11) to base 14 -3024 What is -10000101001001101 (base 2) in base 7? -402520 Convert 10001011100000011111 (base 2) to base 6. 20125251 What is 155376 (base 13) in base 8? 2002567 5b176 (base 15) to base 3 112202121110 What is 10100110100110 (base 2) in base 4? 2212212 -691861 (base 13) to base 8 -11374163 Convert 1495983 (base 12) to base 10. 4177971 -68021 (base 10) to base 11 -47118 -21b3 (base 12) to base 7 -13614 311a3b (base 15) to base 9 4347212 Convert 2035056 (base 9) to base 2. 100001001001100110101 12333230122 (base 4) to base 11 10427aa 1b262 (base 15) to base 3 11111010002 -3300414223 (base 5) to base 13 -15c8804 -10132202330 (base 4) to base 12 -487278 What is 257572 (base 8) in base 13? 31c55 What is -100001010100111000011100 (base 2) in base 6? -511125432 Convert 16a5346 (base 12) to base 7. 54624252 Convert 332418 (base 14) to base 11. a855a6 Convert 20111111121 (base 3) to base 6. 2424154 What is 14002223 (base 7) in base 3? 2102210022202 -1020011302321 (base 4) to base 8 -110056271 Convert 1652044 (base 7) to base 3. 102202011111 What is -1212431024 (base 5) in base 4? -22321310120 What is 161622 (base 11) in base 13? 8a310 What is -10011101011000011010 (base 2) in base 4? -2131120122 What is -8608021 (base 11) in base 8? -71624631 Convert 320c5 (base 14) to base 7. 1012335 -33322211203 (base 4) to base 13 -b31022 What is -bb2236 (base 12) in base 8? -13246712 What is -11000210022 (base 3) in base 10? -79307 Convert -34aa8 (base 14) to base 4. -133111030 Convert 1010121120212 (base 3) to base 15. bd822 Convert a637a16 (base 11) to base 7. 315154011 Convert 2037118 (base 9) to base 5. 234302031 2155242 (base 6) to base 10 108746 Convert -3a2b4 (base 15) to base 14. -4bc32 Convert -301570 (base 9) to base 7. -1341645 What is 1849656 (base 11) in base 3? 12220002100001 What is -545e1 (base 15) in base 6? -5424321 What is 31523140 (base 6) in base 16? e2b84 5405357 (base 9) to base 12 b78851 10e566 (base 16) to base 3 2002020221012 What is 176060 (base 8) in base 12? 31440 6a069 (base 15) to base 16 526bf -1100110101001001010 (base 2) to base 16 -66a4a Convert 6357533 (base 8) to base 2. 110011101111101011011 What is -1c0732 (base 16) in base 3? -10110022200111 Convert -202012112002 (base 3) to base 12. -172185 10c046 (base 13) to base 6 12305135 What is -67499 (base 13) in base 9? -315235 Convert -21b730 (base 12) to base 14. -10032c What is 1010212331 (base 5) in base 16? 1f1ac2 What is -33122121 (base 4) in base 2? -1111011010011001 -362454 (base 8) to base 5 -12433304 116475 (base 9) to base 5 4223001 259524a (base 12) to base 5 3344133423 Convert -132012321201 (base 4) to base 16. -786e61 Convert 72807 (base 12) to base 10. 149767 4fe4c0 (base 16) to base 11 2a568a3 -120200222211 (base 3) to base 11 -1a1252 11a240 (base 13) to base 3 210110011120 Convert -350410 (base 6) to base 4. -13110012 What is 124bd1 (base 14) in base 10? 627971 33a662b (base 12) to base 8 45665003 What is -430866 (base 10) in base 14? -b3042 Convert 430144110 (base 6) to base 9. 15221016 34132345 (base 7) to base 2 1011010100001001010101 What is 44177427 (base 8) in base 14? 1395011 What is ac304 (base 14) in base 2? 1100101111110010000 15143 (base 6) to base 11 1918 Convert 5c4509 (base 16) to base 13. 13394c9 Convert -865db (base 16) to base 7. -4451362 142981 (base 10) to base 2 100010111010000101 1247575 (base 11) to base 15 2ca9db What is 104511054 (base 6) in base 5? 442003131 -25024 (base 10) to base 2 -110000111000000 Convert -528676 (base 9) to base 13. -b035b What is -12321422404 (base 5) in base 15? -14bd3be -402d (base 16) to base 3 -211112111 Convert -9b8a64 (base 13) to base 2. -1110000001010000010100 What is -80e (base 15) in base 9? -2435 Convert -2b5b203 (base 12) to base 5. -4230111344 What is -1332423130 (base 5) in base 7? -40640334 -21205545 (base 6) to base 12 -2608b5 -31220051 (base 6) to base 8 -3346677 Convert -1b799a (base 16) to base 7. -21206366 1a0887 (base 12) to base 7 3613444 Convert 2130266 (base 9) to base 7. 12463653 What is 10a9325 (base 13) in base 16? 4e51ba What is 18b22d (base 16) in base 12? 660751 What is -d4052b (base 16) in base 13? -2b56689 -612703 (base 13) to base 9 -4226661 What is 49c608 (base 13) in base 11? aa9594 What is -1351c9 (base 13) in base 7? -3660202 294807 (base 10) to base 14 79619 Convert -53025034 (base 7) to base 5. -2121232304 Convert 2121211110202 (base 3) to base 6. 45514332 Convert 556550 (base 7) to base 10. 98378 What is -112430 (base 6) in base 14? -3746 1c4766 (base 15) to base 8 5213236 What is -157684a (base 11) in base 5? -1142011221 1001000 (base 5) to base 10 15750 2554464 (base 7) to base 16 51498 What is -146080 (base 12) in base 16? -538e0 What is 323301100 (base 5) in base 9? 2540181 Convert -146367 (base 11) to base 13. -7ca44 Convert 34545441 (base 6) to base 9. 2013137 214948 (base 10) to base 11 137548 Convert 104686 (base 14) to base 9. 1027525 -1335108 (base 10) to base 4 -11011331010 What is 10241313333 (base 5) in base 4? 221201211130 What is -56a5 (base 12) in base 14? -371b What is -241145 (base 11) in base 15? -7837c -346d83 (base 15) to base 16 -2634f3 -5fcfc (base 16) to base 14 -a303a What is -1884657 (base 9) in base 16? -102bbf Convert 5672224 (base 9) to base 14. 598b6c What is -140520150 (base 6) in base 4? -22311211002 1756 (base 9) to base 5 20342 Convert 192782 (base 11) to base 10. 296419 What is -5626221 (base 7) in base 9? -1270730 Convert a5d56 (base 16) to base 10. 679254 What is 11000100000011011 (base 2) in base 14? 2881d What is -12166382 (base 9) in base 4? -112230120131 -1823dd (base 15) to base 2 -100011110001000101000 674677 (base 8) to base 15 4
{ "pile_set_name": "DM Mathematics" }
rd derivative of 260*u**5 + 34*u**2. 15600*u**2 What is the second derivative of 136*a**3 + 531*a wrt a? 816*a What is the first derivative of -335*b**3*g - 506*b**3 + 2*b**2 wrt g? -335*b**3 What is the second derivative of 2*v**3 + 38*v**2 - 581*v? 12*v + 76 What is the third derivative of 256*z**6 + 64*z**2 wrt z? 30720*z**3 What is the third derivative of -1174*r**3 + 2514*r**2? -7044 What is the second derivative of k*l**2*n*p**2 + 2*k*l**2*p - k*l + 7*k*n*p**2 + 10*k*n*p + 20*l**2*p**2 + 4*n wrt p? 2*k*l**2*n + 14*k*n + 40*l**2 Find the first derivative of -4*s**4 + 105*s**3 - 3865. -16*s**3 + 315*s**2 Find the second derivative of 2*j**4 + 1438*j**3 - 5*j**2 + 1853*j + 1 wrt j. 24*j**2 + 8628*j - 10 What is the derivative of 1224*l + 1457? 1224 Find the first derivative of 18*n**2*t - 19*n**2 + 5360*t - 1 wrt n. 36*n*t - 38*n Find the third derivative of 4*z**6 - z**5 - 1045*z**4 + 14149*z**2 wrt z. 480*z**3 - 60*z**2 - 25080*z What is the third derivative of -10*f*x**3 + f*x**2 + 36*x**5 - 13*x**2 + 10*x wrt x? -60*f + 2160*x**2 Differentiate 183*q**3 - 47. 549*q**2 What is the second derivative of x**4 - 1309*x**3 - 853*x wrt x? 12*x**2 - 7854*x What is the second derivative of -428*u**5 - 5*u**3 - u**2 + 9*u + 150? -8560*u**3 - 30*u - 2 What is the third derivative of -617*o**4 + 1195*o**2? -14808*o What is the derivative of 7*d**2*t**2 - 3*d*t**2 - 2*d*t - 1012*t**2 wrt d? 14*d*t**2 - 3*t**2 - 2*t What is the third derivative of 3*j*t**3 + 160*j - 204*t**4 + 3*t**2 wrt t? 18*j - 4896*t What is the second derivative of -246*k**5 + k**2*q**2 - 13*k**2*q - 2*k*q**2 - 2*k*q - 1092*k wrt k? -4920*k**3 + 2*q**2 - 26*q Find the third derivative of -11*k*m**4 + 2*k*m**3 - 2*k*m**2 + 55*k - 2*m**4 + 5*m**2 wrt m. -264*k*m + 12*k - 48*m What is the derivative of -22*u**3 + 66*u**2 + 21644 wrt u? -66*u**2 + 132*u What is the first derivative of -2*c*r**2*s**3 - 6572*c*s**3 - 9*r**2*s + 7*r*s**3 + 16*r*s**2 - r wrt c? -2*r**2*s**3 - 6572*s**3 Differentiate 2*a*r**2 - 2*a*r + 46*a - r**2 + r + 93 wrt a. 2*r**2 - 2*r + 46 Find the third derivative of 20*n**4*w**2 - 97*n**4*w - 2*n**3 + 52*n**2*w**2 + 4*n*w**2 + 1 wrt n. 480*n*w**2 - 2328*n*w - 12 What is the derivative of 853*a**2 + 1316 wrt a? 1706*a Find the second derivative of -219*t**4 + 188*t - 2 wrt t. -2628*t**2 What is the second derivative of -939*n**2 + 57*n + 2? -1878 What is the derivative of 425*m**4 - 13*m**2 + 5574 wrt m? 1700*m**3 - 26*m What is the second derivative of -21*f**5*l**3 - 9*f**5*l - 16*f*l**3 + f*l**2 - 4*f*l wrt f? -420*f**3*l**3 - 180*f**3*l Find the second derivative of -2*b**2*o**2*z**2 - 16*b**2*o**2 + b**2*o*z - 3*b*z - 3*o*z - 2*z**2 wrt o. -4*b**2*z**2 - 32*b**2 What is the second derivative of 5*i**2*y**5 + 66*i**2*y - 2*y**5 - 6*y**3 wrt y? 100*i**2*y**3 - 40*y**3 - 36*y Find the first derivative of -12*c**2*o - 195*c*o + 5551*o wrt c. -24*c*o - 195*o Find the third derivative of -43*r*x**4 - r*x**2 - 2021*r + 3*x**5 + x**3 wrt x. -1032*r*x + 180*x**2 + 6 What is the third derivative of 520*f**6 - 1565*f**2? 62400*f**3 Find the second derivative of -8*d**3*q**2 - 4*d**2*q**2 + 2*d**2*q*u - 3*d*q**2 - 2*q**2*u + 6*q**2 wrt d. -48*d*q**2 - 8*q**2 + 4*q*u What is the second derivative of 10388*h*p**4 - 4*h*p + 985*p wrt p? 124656*h*p**2 Find the second derivative of 16*z**5 + 73*z**4 + 1542*z. 320*z**3 + 876*z**2 Find the third derivative of 2*p**6 + 15*p**4 + 55*p**3 - 1987*p**2. 240*p**3 + 360*p + 330 Differentiate 504*n + 519 with respect to n. 504 Differentiate f*m**2*s + 2*f*s - 19*m**2*s**2 + 2*m**2 + 60*s**2 with respect to m. 2*f*m*s - 38*m*s**2 + 4*m Find the first derivative of 4140*s*t*v + 2*s + 6*t*v - 4*t + v - 1 wrt s. 4140*t*v + 2 Find the second derivative of 474*a**5 + 2*a**4 - 152*a wrt a. 9480*a**3 + 24*a**2 Find the second derivative of -5295*w**3 + 880*w - 1 wrt w. -31770*w What is the first derivative of 9*n**4*t - 2*n**3*z - 39*n**2*t + 3*t*z - 39*t wrt n? 36*n**3*t - 6*n**2*z - 78*n*t Find the third derivative of n*q**4 + 9*n*q**3 + n*q**2*t**2 - 3*n*q**2*t + q**3*t**2 + 167*t**2 wrt q. 24*n*q + 54*n + 6*t**2 Find the second derivative of -4415*x**2 + 31*x + 46. -8830 Find the second derivative of -6727*o**2 + 13226*o wrt o. -13454 What is the second derivative of -82*a*l**4 + 165*a*l + 3*a + 2*l**3 - l wrt l? -984*a*l**2 + 12*l Find the third derivative of 6014*a**3 - 6138*a**2. 36084 What is the second derivative of -2*u**5 + 1111*u**4 - 1120*u wrt u? -40*u**3 + 13332*u**2 Differentiate 4063*b**2 + b*q**3 + 12083*q**3 wrt b. 8126*b + q**3 Find the third derivative of 5*c**6*o - 24*c**4*o - 3*c**3*o**2 - 4*c**2*o**2 + 77*c**2 wrt c. 600*c**3*o - 576*c*o - 18*o**2 Find the second derivative of -29*y**5 + 80*y**2 + 2701*y - 3. -580*y**3 + 160 Find the second derivative of 173*b**3*m*t**2 - 4*b**3*m*t - 183*b**3*t - b*m - b*t**2 wrt t. 346*b**3*m - 2*b Find the first derivative of 4627*k*v - 47*v - 5 wrt k. 4627*v Find the second derivative of -1739*t**5 + 1358*t - 1. -34780*t**3 Find the third derivative of 221*a**3*q**3 + 2*a**2*q**3 + a*q**3 + 19*a*q**2 wrt a. 1326*q**3 Find the second derivative of 10*z**4 + 5*z - 2. 120*z**2 What is the second derivative of r**4 + 23*r**3 + 447*r wrt r? 12*r**2 + 138*r What is the derivative of 18*a**2*t**2 - 8*a**2*t*y**2 - 127*a**2*y**2 + 2 wrt t? 36*a**2*t - 8*a**2*y**2 Differentiate -12462*k + 421 wrt k. -12462 Differentiate -136*c*n + c + 12*n - 5 with respect to c. -136*n + 1 What is the derivative of 2*g*h**3*m + 6*g*h*m**3 + 3*h**3*m**3 + 192*m**3 wrt g? 2*h**3*m + 6*h*m**3 Find the third derivative of -293*j**3*q**5 - 2*j**3*q**4 - 201*j**3*q**2 + j**3 wrt q. -17580*j**3*q**2 - 48*j**3*q What is the second derivative of 2454*m**2*o**2*y + 8*m**2*y - 2*m**2 + o**2*y - 79*o wrt o? 4908*m**2*y + 2*y Find the first derivative of 2*q**3 - 6*q**2 + 750 wrt q. 6*q**2 - 12*q Differentiate 43*u**4 + 3*u**3 + 198 with respect to u. 172*u**3 + 9*u**2 Differentiate 2*p**2 - 859*p + 744 with respect to p. 4*p - 859 What is the third derivative of l**5 + 156*l**3 - 1286*l**2 wrt l? 60*l**2 + 936 What is the second derivative of 1611*s**3 + 695*s + 2? 9666*s What is the second derivative of 16*d*i**3 + d*i**2 - 6*d*i + 13*d - i**3 + 22*i**2 wrt i? 96*d*i + 2*d - 6*i + 44 Find the first derivative of -13*q**4 - 138*q**3 + 6714 wrt q. -52*q**3 - 414*q**2 What is the third derivative of 44*a**4*k**3 - 3*a**4 + a**3*k**3 + 4*a**2*k**3 - 162*a*k**2 wrt a? 1056*a*k**3 - 72*a + 6*k**3 Find the third derivative of 2041*z**5 - 4512*z**2 wrt z. 122460*z**2 Find the second derivative of -8*w**4 - 158*w**3 + 9562*w. -96*w**2 - 948*w What is the derivative of 12*h**2 - 36*h - 811? 24*h - 36 Find the second derivative of 2006*m**2 + 74*m + 7 wrt m. 4012 Find the second derivative of -1230*k**5 - k + 365. -24600*k**3 What is the second derivative of -4*d**3*g**4*x - 9*d**3*g + 2*d**2*g*x + 2*d*g*x + 3*g**4*x wrt g? -48*d**3*g**2*x + 36*g**2*x Find the third derivative of 15*d**6*o - 220*d**5*o**3 + d**2*o + 10*o**3 - 15 wrt d. 1800*d**3*o - 13200*d**2*o**3 Find the second derivative of -7590*b**2 - 6994*b wrt b. -15180 Find the first derivative of -187*w + 2693. -187 Find the third derivative of 428*g**2*x**5 + 224*g**2*x**2 - 2*x**3 wrt x. 25680*g**2*x**2 - 12 Find the second derivative of 7897*l**2 - 578*l + 4 wrt l. 15794 What is the second derivative of -2*j**4 - 3847*j**2 - 18*j + 248 wrt j? -24*j**2 - 7694 Find the first derivative of -7496*g - 21391 wrt g. -7496 What is the second derivative of -38*l**2*q**2*s**3 - 5*l**2*q - 9*l*q**2*s**3 + l*q**2*s - 7*l*s**3 - 2*l*s wrt l? -76*q**2*s**3 - 10*q Differentiate -b**2*k*q**2 - 2*b**2*k - 83*b**2*o*q**2 - b**2*q**2 + 12*b*k*o wrt k. -b**2*q**2 - 2*b**2 + 12*b*o Find the second derivative of -16546*s**5*z - 5*s - 52*z wrt s. -330920*s**3*z What is the second derivative of 6*d**2*p**3 + d**2 + 2*d*p**5 + 12*d*p wrt p? 36*d**2*p + 40*d*p**3 Find the first derivative of -2*t**3 - 1187*t**2 + 1100 wrt t. -6*t**2 - 2374*t Find the second derivative of 7096*w**4 - 3301*w wrt w. 85152*w**2 Find the first derivative of 17*j*m**4 + 253*j*m**3 + 2274*j - 3 wrt m. 68*j*m**3 + 759*j*m**2 Differentiate -8*i**3 + 12*i*r*t + 17*i*t - r*t + 14*r + 43*t with respect to i. -24*i*
{ "pile_set_name": "DM Mathematics" }
2*c + 6*c**3 - 2*c - 4*c**3. Calculate the remainder when 155 is divided by m(6). 11 Let l = 1086 + -1033. What is the remainder when 900 is divided by l? 52 Suppose -5183 + 821 = -2*w. What is the remainder when w is divided by 78? 75 Let y(u) = -u**3 + 8*u**2 + 7*u + 20. Let o(w) = w + 10. What is the remainder when o(-5) is divided by y(9)? 1 Let m be 2018/10 - (-8)/40. Suppose -m = -x - 149. Calculate the remainder when x is divided by 12. 5 Suppose 2*b - 60 = -4*m, -5*m - 2*b + 6*b = -49. Suppose -16*g + 51 = -m*g. Calculate the remainder when g is divided by 9. 8 Let o(y) = -y**2 - 14*y + 1200. Let u(f) = 5*f**3 + 2*f**2 - 2. Calculate the remainder when u(2) is divided by o(-42). 22 Suppose -2*p + 10*p - 232 = 0. What is the remainder when 39 is divided by p? 10 Suppose 3 = r + 2*f, -f = 1 - 2. What is the remainder when ((-40)/(-35))/(r/7) is divided by 4? 0 Let h = -68 + 110. What is the remainder when 261 is divided by h? 9 Suppose -60 = y + 2*y. Let h be 2/4*(2 - y). Let s = 10 + h. Calculate the remainder when s is divided by 12. 9 Suppose 3*t + 0 = -6. What is the remainder when (107 - t)/((-2 - 1) + 4) is divided by 22? 21 Suppose -2*t - 5*a + 121 = 19, -2*a = 5*t - 255. Calculate the remainder when 144 is divided by t. 42 Let r(w) = 9*w**2 - 6*w + 5. What is the remainder when 47 is divided by r(1)? 7 Let w be 4*(-3)/4*-3. Suppose 15 = 2*k - 2*h - w, -2*h + 2 = 0. What is the remainder when k is divided by 5? 3 Let q = 224 - 63. Calculate the remainder when q is divided by 59. 43 Suppose -3*h = 2*h + 4*v - 28, -2*v - 12 = -4*h. Suppose h*o = -5*i + 32 + 82, 0 = 2*o + 3*i - 56. What is the remainder when o is divided by 11? 9 Suppose 5*s - 3*m - 192 = 0, -s - 3*s + 161 = 5*m. Suppose 14*a + 9*a = 161. What is the remainder when s is divided by a? 4 Let m(g) = 12*g + 4. Let d be m(-2). Let v = d + 63. Calculate the remainder when v is divided by 9. 7 Suppose 5*o = -4*q + 154, -5*q - 190 = -5*o - 0*q. Suppose -o - 18 = -4*h. What is the remainder when h is divided by 15/(-12)*2*-2? 3 Let l be 17*12/16*4. What is the remainder when (-10)/(-20) - l/(-2) is divided by -5 + (2 - -7) - -5*1? 8 Let x(j) = -j**2 + 17. Let q be 8*(1/2)/1. Suppose -q*r = -277 + 13. What is the remainder when r is divided by x(0)? 15 Let f(y) = y + 241. Let s be f(0). Suppose 4*p - s = -z, 2*p - 5*z - 152 = -p. Calculate the remainder when p is divided by 15. 14 Suppose -5*u = -46 - 79. Let x = -20 + u. Suppose x*i + 3 = 53. What is the remainder when i is divided by 6? 4 Suppose -18*n = -44698 - 4874. What is the remainder when n is divided by 106? 104 Let y = 22 - 17. Let j(c) = c**3 - 8*c + 6*c**2 + 7*c**2 - 9 + 2*c**2 - y*c**2. What is the remainder when j(-10) is divided by 18? 17 Let j = -256 - -272. Calculate the remainder when 56 is divided by j. 8 Suppose 0*r - 6*r = -12. Suppose -4*n = -3*a + 74, 3*n - r*n = 3*a - 59. What is the remainder when a is divided by 5? 3 Suppose -11*c + 826 = 320. Calculate the remainder when c is divided by 13. 7 Let m = 4 + -4. Let h = 55 + -53. What is the remainder when 6/(2 + -1 + m) is divided by h? 0 Calculate the remainder when -60*-4*(-12)/(-80) is divided by 18. 0 Calculate the remainder when (215 + -4 - 3)*1/1 is divided by 54. 46 Let a = -22 - -50. What is the remainder when 58 is divided by a? 2 Let v be 0 - ((-2)/2 - 1). Suppose -v*h + 5*p = -12, -p - p = h - 15. Let a(d) = 2*d**2 - 17*d + 16. What is the remainder when a(h) is divided by 24? 23 Let u(n) = 31*n - 2. Let j be u(-1). Let w = j - -33. Let l(y) = -y + 3. Calculate the remainder when 11 is divided by l(w). 2 Calculate the remainder when 300 + 4 - (10 - 15) is divided by 39. 36 Let r = -341 - -652. Calculate the remainder when r is divided by 35. 31 Suppose -2*o + 2 = 4*q, -q + 2*o + o + 18 = 0. Suppose -3*h + 5*m + 16 = -0*h, -2*m = q*h - 23. Calculate the remainder when 34 is divided by h. 6 Suppose 0 = -5*n - 2*m + 25, -2 = 3*n - 3*m + 4. Suppose n*o = 9, -2*l - o + 5 + 176 = 0. What is the remainder when l is divided by 13? 11 Calculate the remainder when 86 is divided by (-42)/(-4) + ((-7)/(-14) - 0). 9 Let o(t) = 3*t**3 + 21*t**2 - 10*t - 17. What is the remainder when 59 is divided by o(-7)? 6 Let m(f) = 8*f**2 + 6*f + 10. Calculate the remainder when m(6) is divided by 12. 10 Let j(d) = -22*d - 37. Let l be j(-14). Let c = l - 67. Calculate the remainder when c is divided by 41. 40 Let h(l) = 6*l**2 + 84*l + 164. What is the remainder when 60 is divided by h(-2)? 0 Suppose -3*j + 41 = 4*o, -3*o - 5 = 2*o. Calculate the remainder when 24 is divided by j. 9 Suppose 0*a + 4*a - j - 118 = 0, a + 5*j - 40 = 0. Suppose o + 2*c + 0*c = 20, 5*o - 4*c = a. Calculate the remainder when 14 is divided by o. 4 Let w(d) be the second derivative of d**5/20 + d**4/2 - 5*d**3/3 - 9*d**2/2 + 4*d. Calculate the remainder when 46 is divided by w(-7). 10 Let g = -119 - -165. Suppose g*s - 41*s - 95 = 0. What is the remainder when s is divided by 10? 9 Suppose 0 = 4*q + 2*y - 578, 0*q + q - 158 = -5*y. Suppose 113 = 4*u - q. What is the remainder when u is divided by 22? 20 Let z be (-4)/18 - 1652/18. Suppose -144 = 4*c - 676. Let j = c + z. Calculate the remainder when j is divided by 11. 8 Calculate the remainder when 1368901/1159 + (-2)/19 is divided by 6. 5 Let c be 1/5 + 428/10. Suppose c = o - 30. Let n = o - 30. Calculate the remainder when n is divided by 22. 21 Let l(c) = -2*c + 16. What is the remainder when -1 - -6 - 0 - -4 is divided by l(5)? 3 Let b = -1236 - -1323. Suppose -2*o - 4*i = -4, -o - 3 = -2*i - 21. Calculate the remainder when b is divided by o. 7 Suppose 4*m + 20 = 2*z - 48, 2*m + 102 = 3*z. Calculate the remainder when z is divided by 20. 14 What is the remainder when 68 is divided by (-165)/(-5) + -1 + -2? 8 Let h(x) be the first derivative of -x**4/4 - 3*x**3 + 7*x**2/2 - 8*x + 3. Let a be h(-10). Let t = a - 10. Calculate the remainder when 21 is divided by t. 9 Suppose -4*z = -2*n + 26, -3*n + 37 = -0*z - 4*z. Calculate the remainder when 11 - 4*1*48/(-64) is divided by n. 3 Suppose -42*g + 22 = -3380. What is the remainder when 326 is divided by g? 2 Suppose -10*j = -5*o - 6*j + 134, -4*j + 16 = 0. What is the remainder when 66 is divided by o? 6 Suppose -4*k + 1077 - 825 = 0. Calculate the remainder when 348 is divided by k. 33 Let a(u) = -25*u + 20. Let s be a(-5). Let p = s - 123. Let z(q) = q**3 + 8*q**2 - q + 5. What is the remainder when z(-5) is divided by p? 19 Let j = 8 - -261. Calculate the remainder when j is divided by 10. 9 Let b(d) = d**3 + 14*d**2 + 22*d + 23. What is the remainder when b(-12) is divided by 21? 5 Suppose -127*t - 3350 = -177*t. Let h = -10 + 24. What is the remainder when t is divided by h? 11 Let h = -12 + 27. Let q(w) = -w - 8. Let c be q(-10). Calculate the remainder when 58 + 2/2 - c is divided by h. 12 Let v = 45 + -14. Let k = 357 - 349. What is the remainder when v is divided by k? 7 Suppose 5*k - 5*m = 150, -2*k + 53 = 2*m - 27. Calculate the remainder when 128 is divided by k. 23 Let b(r) = -r**3 - 14*r**2 + 16*r - 5. Let f be b(-15). Let g = 68 + f. Let m = g - 22. Calculate the remainder when 102 is divided by m. 24 Let k(w) = -10*w + 19. Let i be k(-2). Suppose -i*a = -43*a + 116. What is the remainder when a is divided by 15? 14 Suppose 3*x - 33 = n, 0 = 2*x + 5*n - n - 22. Calculate the remainder when x is divided by 0*(-4)/12 + 3. 2 Let m(x) = x**3 - x**2 - 2. Let g be 2*12/(-8)*-1. Calculate the remainder when 29 is divided by m(g). 13 Suppose -156 = -34*v + 33*v + 2*x, -3*v - 3*x + 504 = 0. What is the remainder when v is divided by 31? 9 Let g(k) = -297*k**2 + k + 149*k**2 + 150*k**2 + 52. What is the remainder when g(0) is divided by 14? 10 Suppose 26*n - 1772 = -706. What is the remainder when n is divided by 23? 18 Let i = 22 - -14. Let a = -243 + 263. What is the remainder when i is divided by a? 16 What is the remainder when 6092/6 + (-70)/(-42) is divided by 34? 31 Let c be 4/(-36) + 84/27. Suppose -c*k + 176 = -1. Calculate the remainder when k is divided by 12. 11 Suppose -12*a + 243 = -9*a. Suppose 0 = 7*u - 4*u - a. What is the remainder when u is divided by 7? 6 Suppose -7*g = -1904 - 1771. Calculate the remainder when g is divided by 66. 63 Suppose -2*h - 18 = 4
{ "pile_set_name": "DM Mathematics" }
ctor of 11 and n. 11 Let o(j) = -3*j - 47. Let t be o(-22). What is the greatest common divisor of 171 and t? 19 Let d(y) = 2*y + 224. Let f be d(0). Calculate the highest common divisor of f and 28. 28 Suppose -2 = -2*s - 16. Let h = s - -33. Let f = -13 + h. What is the greatest common divisor of 65 and f? 13 Suppose 36 = 3*t + 3*t. What is the greatest common factor of 33 and t? 3 Suppose 0*s + 2*s = 104. Suppose -4*r = -0*r - s. What is the highest common factor of 117 and r? 13 Let d(t) = 2*t**2 - 3*t - 11. Let k be d(5). Suppose 2*f - 18 = -2*r + k, 5*r - 2*f - 126 = 0. What is the highest common factor of 12 and r? 12 Suppose 4*m - 70 = 30. What is the highest common factor of 175 and m? 25 Let t be (0 + 0 + 1)*6. Let r(m) = 3*m - 6. Let o be r(t). Suppose g + 3*z - 54 = 0, -4*g + 0*g + 250 = -5*z. Calculate the highest common factor of o and g. 12 Suppose -3*i + 10 = -8. Suppose d + 8 - 58 = -2*o, 226 = 4*d - 5*o. What is the highest common divisor of d and i? 6 Let i(b) = -b**2 + 7*b + 1. Let p be i(7). Suppose -2*l + 5 = p. Let r = -2 - -4. What is the highest common factor of r and l? 2 Let k = 37 - -8. Calculate the highest common factor of k and 30. 15 Let d(w) = -w**2 - 6*w - 2. Suppose 0 = 2*p - 3*n + 8, -2*n = 2*p - 0*n + 8. Let a be d(p). Let m be (3/9)/(2/a). What is the greatest common factor of m and 9? 1 Let w = -7 + 11. Suppose -3*g + 21 = -3*s + 5*s, w*g = 3*s - 40. Suppose -x = -3, -5*x + 1 = -q - s. Calculate the greatest common divisor of 10 and q. 2 Suppose -b + 4*g - 5 = -125, -5*g + 500 = 5*b. Calculate the highest common factor of 13 and b. 13 Let k(z) = z**2 - 6*z + 6. Let g be k(5). Let o = g + 4. Suppose -27 = -b + o. What is the highest common divisor of b and 4? 4 Let t be (-112)/(-18) + (-2)/9. Suppose 40 = 2*l - 4*q, 5*l + 2*q = -q + 126. What is the highest common factor of l and t? 6 Suppose 61 = 3*h - 2. What is the greatest common factor of 14 and h? 7 Suppose -57 = -4*a - 1. What is the highest common factor of 70 and a? 14 Let c(p) = 276*p**2 + 4*p - 5. Let g be c(1). What is the greatest common factor of 25 and g? 25 Let n(y) = 15*y**2. Suppose 0 = -0*h + 3*h - 3. Let z be n(h). Calculate the highest common factor of z and 60. 15 Suppose -3*a + 6 = 0, -3*y - 8 = -7*y + 4*a. What is the greatest common factor of 6 and y? 2 Suppose 0 = -c - 3*m + 29, 12*m - 63 = -2*c + 7*m. Calculate the highest common factor of c and 88. 44 Let r(q) = 3*q + 4. Let h be r(0). Calculate the greatest common divisor of 20 and h. 4 Let b be (500/(-8))/(-5) + 1/(-2). What is the highest common divisor of b and 12? 12 Suppose -3 + 2 = a + u, 5*u = -4*a - 5. Suppose a = -5*z - 43 + 98. What is the highest common divisor of z and 55? 11 Let x(c) = c**2 - 11*c + 14. Let w be x(10). Let s = 187 - 130. Let r = s - 29. What is the highest common divisor of w and r? 4 Let r be ((-1)/(-2))/((-7)/(-798)). Suppose -3*v + q + 98 = 2*v, 4 = v + 5*q. Calculate the highest common divisor of r and v. 19 Let g(u) = u + 4. Let n be g(-3). Let a = n + 1. Let i be (-7)/(224/(-88)) - (-2)/8. Calculate the highest common divisor of i and a. 1 Suppose 62 = -3*s + 293. Calculate the greatest common divisor of s and 11. 11 Suppose -3*r = 19 - 1. Let h = r - -7. What is the highest common divisor of 6 and h? 1 Let u = 170 - 90. Let q be 3*3*(-1)/(-9). Let b be (3*q)/((-54)/(-576)). What is the greatest common divisor of b and u? 16 Let l(v) = -v + 135. Let t be l(0). Let y(b) = 8*b - 5. Let j be y(4). Calculate the highest common factor of t and j. 27 Let q(o) be the first derivative of -o**2/2 + 3. Let z be q(-1). Let a be 1 - (3 - z)*-2. What is the highest common factor of 10 and a? 5 Suppose o + 6 = 2, 3*o = -2*a - 2. Calculate the greatest common divisor of 45 and a. 5 Let b(i) be the first derivative of i**2/2 + 8*i + 2. Let o be b(-7). Let r be o/4*(4 - 0). Calculate the highest common factor of r and 1. 1 Suppose 4*i - 2*d - 20 = -0*d, 4*d + 16 = 2*i. Calculate the highest common divisor of 8 and i. 4 Suppose -5*a - 2*w = -5*w - 35, 0 = 2*a - 4*w. Calculate the highest common divisor of 40 and a. 10 Let p(c) = c**2 + 7*c. Let h be p(-9). Let n = -7 - -61. Calculate the greatest common divisor of n and h. 18 Suppose 4*c = 3*c + 2*j, -j - 7 = -4*c. Let u = 23 - 1. Let w be u/(-2*(-1)/2). What is the highest common factor of c and w? 2 Let o be 3/(6/(-13))*-2. Suppose 2*b = -w + 37, -3*b - 119 = -3*w - b. What is the highest common factor of o and w? 13 Let j be (15 + 1)/(9/54). Calculate the highest common factor of 12 and j. 12 Let n(w) = 35*w + 10. Let l be n(6). Calculate the greatest common factor of l and 22. 22 Suppose -4*y + 304 = 48. Suppose y = -0*t + t. Calculate the highest common factor of 8 and t. 8 Suppose -4*z - z - 28 = -r, -2 = -4*r - 2*z. Suppose -5*l = -r*l - 42. Let j = -12 + l. What is the highest common divisor of 45 and j? 9 Suppose -4*z + 19 + 9 = 0. Let k(u) = 17*u**2 - 4*u - 4. Let t be k(-3). Let p = -105 + t. What is the greatest common factor of p and z? 7 Let x(k) = 3*k + 2. Let v be (-8)/(-5) + (-4)/(-10). Let q be x(v). Let l(p) = p**2 + 8*p + 12. Let j be l(-8). What is the highest common divisor of q and j? 4 Let q(p) = -2*p**3 - 4*p**2 - 2*p + 2. Let s be q(-2). Suppose x = 4*x - s. Let w be (-5 + x - 0)*-10. Calculate the greatest common factor of w and 20. 10 Suppose -28 = -7*k + 42. Calculate the highest common factor of k and 70. 10 Let p be (470*1)/2 + -3. Calculate the highest common divisor of p and 29. 29 Suppose -2*j + 115 - 27 = 0. Let u be 6/27*3*6. What is the greatest common divisor of j and u? 4 Let v be (4/(-12))/(2/(-2046)). Calculate the highest common divisor of 31 and v. 31 Let f(t) = -2*t**2 + 23*t - 26. Let l be f(9). Calculate the greatest common factor of l and 133. 19 Let u = 17 + -12. Let r be 3 - (3 + 2 + -7). What is the greatest common factor of u and r? 5 Let a = 80 + -69. Let j be ((-6)/(-9))/((-1)/(-66)). Calculate the highest common factor of a and j. 11 Let w(r) = -r**2 + 4*r + 17. Let q be w(5). Calculate the highest common factor of 108 and q. 12 Let n = 84 + -119. Let r = -15 - n. Calculate the greatest common divisor of r and 10. 10 Suppose -3*n - 2*q + 24 = -0*q, 6 = 2*n - 2*q. Let i = 49 - 25. What is the greatest common divisor of i and n? 6 Let a be (-27)/(-15) + 2/10. Suppose a*q - 3*u = 2*u + 343, -2 = 2*u. Suppose q + 181 = 5*y. Calculate the highest common divisor of 7 and y. 7 Let f = 5 + -3. Suppose -j + f*j + 1 = 0. Let w = j + 9. Calculate the greatest common factor of 32 and w. 8 Let y(u) = u**3 - 10*u**2 + 8*u + 13. Let i be y(9). What is the greatest common divisor of 8 and i? 4 Let d(n) = -3*n + 6. Let w be d(6). Let k = w - -17. What is the greatest common factor of k and 5? 5 Suppose 4*d - 3*d + 63 = 5*u, 9 = -3*d. What is the greatest common factor of 12 and u? 12 Let f = 58 - 33. Calculate the highest common divisor of 10 and f. 5 Suppose -2*o = -4*l - 274, 0*l - 3*l + 4*o - 193 = 0. Let z = -1 - l. What is the greatest common factor of 28 and z? 14 Let h be 35 + -4 + 2 + -1. Calculate the highest common divisor of 8 and h. 8 Suppose -3*a + 104 = -64. Let i(b) = -5*b - 43. Let v be i(-9). Suppose v*m - 264 = a. Calculate the greatest common factor of 20 and m. 20 Let r be ((-2)/4 + 50/40)*48. What is the highest common factor of 4 and r? 4 Let u = -4 + 11. Let f be 8/24 + (-186)/(-9). Calculate the highest common divisor of u and f. 7 Suppose 4*z = 3*t + 77, 4*t - t = 3. What is the highest common divisor of 30 and z? 10 Let h be -20*(-2 + -1 + 1). Let v(f) = f - 1. Let p be v(-4). Let c = p + 13. What is the highest common factor of h and c? 8 Let f = 3 + -6. Let w be ((-14)/f)/(8/12). What is the highest common divisor of 1 and w? 1 Let a be (54 + 0 - -2) + 1. Let o be 18/(1*(-4)/8). Let s be 0 - (o - (0 + 2)). What is the highest common factor of s and a? 19 Let y = 47 + -27. What is the highest common divisor of y and 80? 20 Suppose 5*m - 44 = -3*u + 2*u, 340 = 5*u - 5*m. What is the highest common factor of 16 and u? 16 Let v be (-4)/(-6) + 40/3. Let n = -16 + 10. Let q be ((-4)/n)/(3/9). Calculate the greatest common divisor of q and v. 2 Suppose -l = -1 - 11. Calculate the greatest common divisor of l and 12. 12 Suppose -6 = -y + 28. Suppose
{ "pile_set_name": "DM Mathematics" }
0 - 2)*(0*b**3 + 3*b**3 - b**3) - 2*b**3 + b**3 + 4*b**2 - b**3 in the form j*b**3 + y*b + h + x*b**2 and give j. 4 Express (0*j - 3*j + 5*j)*(-5 + 3 - 5)*(-2 - 2 - 1) in the form z + t*j and give t. 70 Rearrange -5*s - 12*s - 2*s - 3 to the form a + y*s and give y. -19 Express (-4*s**3 + s**3 + 5*s**3)*(-23*s + 22*s + 5 - 4) as m*s**4 + t*s + o + l*s**2 + n*s**3 and give m. -2 Express 4*q**2 + 2*q**2 - 10*q**2 + 3*q + 6*q**2 in the form p*q + j*q**2 + r and give j. 2 Rearrange 13*t**4 - 2*t - 3*t**2 - 4*t**4 - 10*t**4 + 6*t**3 to the form n*t**4 + y*t**2 + s + c*t + g*t**3 and give g. 6 Rearrange 4*l - 8 + 5 + 2 - 1 to the form r + f*l and give r. -2 Express 9*m - 9*m**3 + 8*m**3 + 3 + 4*m in the form i*m**3 + j + u*m**2 + o*m and give j. 3 Rearrange -5*x + 3 - 3 + (-3*x - 2*x + 6*x)*(-2 + 0 + 4) - 2 + 2 + 2*x to the form r*x + y and give r. -1 Express -12*i + 4*i**2 + 11*i - 3*i**2 in the form c*i + s + d*i**2 and give c. -1 Express (-4 + 0 - 1)*(2*g**3 - 6*g + 122*g**2 - 122*g**2) in the form a*g + m*g**3 + n*g**2 + k and give m. -10 Rearrange -5*a**3 + a + 3*a**2 - 4*a**2 + 4*a**3 + 2*a**2 + 8*a**4 to m*a**4 + x*a + c*a**3 + o*a**2 + w and give w. 0 Express -2*b**2 + 15*b**2 - 3*b**2 - 2*b**3 + 2*b - 3*b**2 - 1 as h*b + g*b**2 + a*b**3 + j and give a. -2 Express (-2*x**2 + 4*x**2 - x + 0*x**2)*(2*x**2 + 0*x**2 + x**2) in the form m*x**4 + i*x + v*x**2 + q + u*x**3 and give m. 6 Express 2*w**2 - 2*w**3 - 2*w + 815*w**4 + w**3 - 818*w**4 in the form r + t*w**2 + i*w**4 + a*w + c*w**3 and give t. 2 Rearrange -1 + 2*k + 0*k**2 + k**2 + 4*k**4 - 2 + 0*k to the form g*k**3 + r*k**4 + y*k**2 + j + m*k and give r. 4 Rearrange (0 + 4 - 2)*(54*f**2 - 97*f**2 + f**3 + 47*f**2) to the form k*f**3 + o*f + y*f**2 + h and give k. 2 Rearrange 2*u - 1 + 1 + 298 - 298 + 12*u - 5*u + 0*u + 3*u + (0 + 0 + u)*(2 + 0 + 0) + u + 0*u + u to r*u + a and give r. 16 Express (-2*v + v - v)*((2 + 2 - 2)*(-9 - 9 + 30) - 4 + 3 + 0) as w + x*v and give x. -46 Rearrange (-2*r**2 - 2*r**2 + 2*r**2)*(-73*r - 12*r + 122 - 122) to t*r**2 + d*r + h*r**3 + a and give a. 0 Rearrange -2*g + 14*g + 14*g + 6*g to the form o*g + z and give o. 32 Rearrange (-80*f + 44*f + 65*f)*(2 + 0 + 0) + (-2*f + 3*f - 3*f)*(1 + 1 - 3) to c + a*f and give c. 0 Rearrange -8*n - 7*n - n**2 - 7*n + 2*n to a + w*n**2 + h*n and give w. -1 Express 13*l - 6 - 2*l**2 + 4 + 15*l as y*l**2 + d + t*l and give d. -2 Rearrange -23*r - 10*r - 5*r + (3 + 0 - 1)*(r + 0 + 0) + 2 + 2*r - 2 - 3*r - 3*r + 4*r to the form q*r + y and give q. -36 Express (2 - 1 - 3)*(8 + 0 + 0)*(-9*a + 10*a + 15*a) as j + f*a and give f. -256 Rearrange (-r + 0*r - 2*r)*(-5 + 1 + 2)*(0 - 5 + 3) to f*r + a and give a. 0 Rearrange 14*c**3 - 4*c**3 + 10*c**3 + (c**2 - 4*c**2 + c**2)*(2*c - c + c) to the form p + a*c**2 + j*c + b*c**3 and give j. 0 Express (0*s + 4*s - 2*s)*(-2*s**2 + 0*s**2 + s**2) + (53 - 53 + 33*s**2)*(2*s - 4*s + 0*s) in the form r + z*s**2 + a*s + q*s**3 and give r. 0 Express 9*y - 2*y + y + 4*y**3 + 3 - 6*y as n + p*y**2 + h*y**3 + o*y and give n. 3 Rearrange (-4 - 1 + 4)*(-2*t + 0 + 0) - 2*t + 4*t + 0*t + (-1 + 3 - 1)*(-6 + 6 - 6*t) to q + a*t and give a. -2 Express x**2 - 3*x**2 - 3*x**2 + 3*x**2 + 2*x**3 - 11 as u + m*x**3 + t*x**2 + s*x and give u. -11 Express -h**4 + 0*h + h**2 + 4*h - 5*h + h**2 in the form s*h**4 + n*h + t*h**2 + p*h**3 + o and give t. 2 Rearrange (2 + r**2 - 2)*(-4*r + 22*r + 13*r) + (4 - 2 + 0)*(0*r**3 + 5*r**3 - 3*r**3) to the form g*r**2 + o + c*r**3 + n*r and give c. 35 Express (-4 + 4 - h)*(-1 + 1 - 2) - 128 - h + 128 in the form r*h + k and give r. 1 Express (g + 3*g - 2*g)*(-2*g + 2*g - g**2) + 3 + 77*g**3 + 5*g - 2 - 74*g**3 in the form v + s*g**3 + q*g**2 + y*g and give s. 1 Rearrange 13*t**2 - 1 - 59*t + 2 + 59*t to q*t**2 + o + w*t and give o. 1 Express (8*x**2 - 40*x**2 - 18*x**2)*(2*x**2 + 2*x**2 - 2*x**2) in the form k*x**4 + l + b*x**2 + n*x**3 + m*x and give k. -100 Rearrange -22*w**2 - 172 + 172 + (3*w**2 - w**2 - 3*w**2)*(1 - 2 + 0) + 2*w**2 + 0*w + 0*w to u + h*w**2 + g*w and give h. -19 Express ((1 + 0 - 2)*(0*r - 2*r + 0*r) - 161 - 159*r + 161)*(-2 + 3 + 1) in the form i*r + u and give i. -314 Rearrange (-d - 3 + 1 - d)*(-7*d + 0*d + 0*d) to the form z*d + c*d**2 + i and give z. 14 Express -k - 2*k + 13*k in the form v + a*k and give a. 10 Rearrange 11*m**4 - 8*m**4 + 6*m - 5*m**2 - 5*m to w*m**4 + b*m**3 + n + s*m**2 + o*m and give w. 3 Express -7*k**2 - 10*k**4 - k - k**3 + 3*k**4 + 10*k**4 as r*k**2 + o + p*k**4 + l*k**3 + v*k and give l. -1 Express o**3 + 0*o**3 - 6*o - 10*o - 3*o in the form d + x*o**2 + n*o**3 + w*o and give w. -19 Express -518*g**2 + 518*g**2 + 5*g**3 + g**4 + g as s + k*g + f*g**4 + y*g**3 + o*g**2 and give s. 0 Express 2*f - 7*f**2 + 2*f - 2*f**3 + 5*f**2 - 2*f**4 + 6 - 5*f in the form s*f**2 + i*f**3 + q + a*f + k*f**4 and give k. -2 Express (5 - 2 - 2)*(3 + 0 - 4)*(-x**2 + 2 - 2) as y*x**2 + p + r*x and give y. 1 Express -a**3 + 6*a + 3*a**2 + 3*a**3 - 1 - 6*a as d + z*a**3 + p*a + q*a**2 and give d. -1 Express 4*r - 2*r**3 - 5*r + 8*r**2 + 2*r**2 - 14*r**2 as s*r + i + p*r**3 + c*r**2 and give p. -2 Rearrange -6*q**2 + 5*q**2 - 6*q**2 + (-4*q**2 + 2*q**2 + q**2)*(2 - 3 + 2) + q - q**2 - q to the form r*q**2 + o + v*q and give r. -9 Express 107 - 107 + v + 7*v**2 in the form l + w*v + i*v**2 and give i. 7 Rearrange (k + 5*k + 0*k)*(0 + 1 - 2)*(k**3 - 3*k**3 - 5*k**3) to v + c*k**3 + y*k**2 + m*k + l*k**4 and give l. 42 Rearrange (-g**2 + g**2 - 4*g**2)*(2*g**2 + 4*g - 4*g) - 45*g + 4*g**4 + 45*g - 3*g**3 to u*g + s*g**2 + c*g**3 + t + o*g**4 and give c. -3 Rearrange x**3 + 5*x**3 - x**2 - 8*x**3 - 3*x to the form n*x**3 + g*x**2 + z + l*x and give g. -1 Express -216 - 25*o + 216 as f + p*o and give p. -25 Express 2*x - 7*x + 2*x in the form s*x + j and give s. -3 Express -3*s + 4*s - 4*s**2 + 2*s**3 - 9 + 13 as f*s**3 + r*s + m*s**2 + y and give f. 2 Express (n + 3*n - 3*n)*(6 + 1 + 0)*(-3*n + 3*n - 2*n**3) + 4*n**4 - 3*n**4 + 2*n**4 as s*n + l*n**4 + h*n**2 + d*n**3 + w and give w. 0 Express 2*s**3 + 0*s**2 - 203 + 0*s**2 + 211 in the form z*s**3 + a*s**2 + p*s + f and give a. 0 Rearrange -73 - 18 + 2*d - 34 to p + h*d and give h. 2 Rearrange 5*l**4 + 2*l**2 + l**2 - 4*l**4 - 3 to o + m*l + u*l**2 + x*l**4 + h*l**3 and give o. -3 Rearrange (-240 + 240 - 27*g)*(0*g + 0*g - g + (1 + 3 - 2)*(-2 + 2*g + 2))*(2 + 2*g - 2) to the form z*g + o*g**3 + h + m*g**2 and give o. -162 Rearrange 5 - 3*z - 36 + 7*z - 5*z to the form h + k*z and give k. -1 Express 352 - 348 - 13*j**2 - 21*j**2 in the form g*j + a + i*j**2 and give a. 4 Express -63*o**3 + 64*o**3 + 3*o**4 - o - o**4 + o**2 + 1 as j*o**4 + h + v*o + l*o**3 + m*o**2 and give m. 1 Rearrange 1 + n - 1 + (8 - 3*n - 8)*(-2 - 2 + 6) - 1 - n + 1 + 6*n + 0*n - 3*n to the form b + p*n and give p. -3 Express -3*c - c - 5*c + 2*c in the form d*c + m and give d. -7 Rearrange -5*k**2 - 2*k**4 - 4*k**4 + k**3 + 1 + 5*k**4 to o*k + c + s*k**3 + t*k**2 + v*k**4 and give v. -1 Express (-3*k**4 + 0*k**4 - 4*k**4)*(-12 + 3 + 7) in the form g*k**2 + l*k**4 + u*k**3 + q + i*k and give g. 0 Rearrange -100*l**2 + l**3 + 100*l**2 - 8*l to the form c + y*l**3 + k*l**2 + f*l and give y. 1 Express -2*d**3 - d + d + (2*d**2 - 1 + 1)*(-4*d - 2*d + 5*d) - d + d + d**3 - 109*d**3 + 184 - 184 as g + l*d**2 + k*d**3 + w*d and give k. -112 Rearrange -44*a - 112*a + 15*a to the form i + c*a and give c. -141 Express -12*o - 10*o + 2*o in the form n + f*o and give f. -20 Rearrange o**2 - 2*o**4 + 4*o**3 - 2*o**3 - 4*o**3 + 12 - 17 to z*o**3 + n*o**4 + d*o**2 + h*o + w and give d. 1 Rearrange (70*r + 32*r + 144 - 141)*(-2*r**3 + 3*r**3 - 2*r**3) to the form g*r**4 + w*r**3 + m + l*r + n*r**2 and give w. -3 Express (-4*l + 8*l + 6*l)*(6 + 4 - 5) + 2 - 2 + l as b*l + w and give b. 51 Rearrange (1 - 1 + 1)*(165 - 165 - 81*w) to h + z*w and give z. -81 Rearrange -4*y + 1234 - 1234 + 13*y**2 to q + r*y**2 + o*y and give o. -4 Express -6 + 3 - 2*j**4 - 2*j + 5 in the form b + t*j**4 + s*j + r*j**3 + a*j**2 and give s. -2 Rearrange (0*a + 0*a + 2*a)*(0 + 8 + 2)*(-3*a - 2 + 2) to the form h*a**2 + d*a + l and give h. -60 Express -6*d - 2*d + 0*d + 7*d + 29 in the form z*d + y and give z. -1 Rearrange (-40*m - 6*m + 20*m)*(-m + m - m) to
{ "pile_set_name": "DM Mathematics" }
-4) - 2/8. What is m rounded to the nearest 1000000? -9000000 Let h be 474273/6*(-1 + -3). Let y = h - -221182. Round y to the nearest ten thousand. -100000 Let b = 1.6348 - 11.63588. Let l = b - -10. What is l rounded to four decimal places? -0.0011 Let s = -104.0912114668 - -0.0912191668. Let b = 105 - 209. Let p = b - s. What is p rounded to six dps? -0.000008 Let p = -1.67 - -5.99. Round p to 0 dps. 4 Suppose 7*k - 3*k - 1629332 = 0. Let i be (-2 + -1)*(-329111 - 0). Let h = i - k. What is h rounded to the nearest one hundred thousand? 600000 Let s(r) = -r**3 + 5*r**2 + r - 2. Let c be s(5). Suppose 81195 = -4*i + 5*t, -3*i + 7*i + c*t + 81203 = 0. Round i to the nearest 1000. -20000 Let j = -20 + 35. Suppose 3*f = -j + 42. Let z be (-120000)/((-1)/(f/6)). What is z rounded to the nearest 100000? 200000 Suppose -37758 - 85242 = w. What is w rounded to the nearest 10000? -120000 Let s = -3 - -14. Let m = s + -8. Round m to zero decimal places. 3 Let l(q) be the second derivative of q**3/3 - 3*q**2 - q. Let f be l(4). Round f to the nearest ten. 0 Let z(g) = -21872*g. Let s be 6/(-9) + (-14)/6. Let v be z(s). Suppose 16 = 4*k, -6*h - v = -2*h - 4*k. What is h rounded to the nearest one thousand? -16000 Let b = -199 + 215.3. Round b to the nearest integer. 16 Let g(m) = 305*m**2 - 4*m - 4. Let p be g(-6). What is p rounded to the nearest ten thousand? 10000 Let z = 78.304 - 78. Let r = 0.26 - z. Round r to 2 decimal places. -0.04 Let x be -2 - (287/1 + 1). Let w be ((-22)/(-2))/(6/102). Let f = w + x. What is f rounded to the nearest 10? -100 Let r(v) = -101264*v**2 + 2*v + 0 + 1 + 0*v - 12743*v**2. Let m be r(4). Let f = m + 1044103. Round f to the nearest 100000. -800000 Suppose -5*q + 2*q + 3 = 0. Let w = q + 2. Suppose 0 = c - w*c. Round c to the nearest ten thousand. 0 Let w = 98.99939 + -99. What is w rounded to 4 dps? -0.0006 Let v = 11 - 10.985. What is v rounded to 3 decimal places? 0.015 Let j = 36 + -36.00058. What is j rounded to 3 decimal places? -0.001 Let r = 897 - 456. Let z = r - -59. Round z to the nearest one thousand. 1000 Let m = -19.8 - -19. Let y = -0.8115 - m. What is y rounded to three dps? -0.012 Let b = 0.11 - 52.11. Let j = b + 46.2. Round j to the nearest integer. -6 Let g = 1186.1593 - 1186. Let m = 2.168 - 2. Let w = m - g. Round w to 3 decimal places. 0.009 Let t = 80 + -80.00084. What is t rounded to four decimal places? -0.0008 Suppose 0 = 5*f - 2505 + 747505. Round f to the nearest ten thousand. -150000 Let y(c) = -c**3 + 7*c**2 + 10*c. Let i be y(8). Let x be i/(-56) + 47441/7. Let m = x - 13577. Round m to the nearest 1000. -7000 Let n be (1874999/(-2))/((-1)/4). Let u = 0 - -5. Let g be 4/(-10) - n/u. Round g to the nearest one hundred thousand. -800000 Let r = 1204041.59 + 16393.41. Let m = -1220432.999934 + r. Let i = 2 - m. What is i rounded to 5 decimal places? -0.00007 Let j = -2704.539 + 2697. Let d = 0.061 - j. What is d rounded to 0 decimal places? 8 Let b = 177 + -174.99. Let y = -2 + b. What is y rounded to one decimal place? 0 Suppose -5*v = 8036 - 28826. Let a = v - 7558. What is a rounded to the nearest one thousand? -3000 Let s = -166.00000097 - -166. Round s to seven decimal places. -0.000001 Let t = 0.13845865 - 0.16046. Let l = t + 0.022. What is l rounded to seven dps? -0.0000014 Suppose -10*a = -4*a + 498000. Round a to the nearest 10000. -80000 Let n = 61 - 85. Let u = -36325 - -36349.047. Let o = u + n. What is o rounded to 2 dps? 0.05 Let w = 384 + -383.999999543. What is w rounded to seven decimal places? 0.0000005 Let o be (-18320 - -6)*-1*1073. Suppose 4350922 - o = x. What is x rounded to the nearest 1000000? -15000000 Let o(f) = 7*f - 70*f**2 - 10*f + 0 - 2. Let s be o(-4). Round s to the nearest 100. -1100 Let f = 0.18333 - 0.187. Round f to four dps. -0.0037 Suppose 0 = 3*d - y - y - 1, 0 = -3*d + 3*y + 3. Let b(o) = 6001*o + 1. Let j be b(d). What is j rounded to the nearest one thousand? -6000 Let j = -628564.520049 + 628565. Let x = -24 + 24.48. Let z = j - x. What is z rounded to 5 decimal places? -0.00005 Let p = 7.6 + -33.64. Let g = p + 25. Round g to one dp. -1 Let k = -0.4668 - -2.4698. Let l = 2 - k. Round l to two dps. 0 Let g(w) = 163*w**3 + 3*w**2 - 9*w + 11. Let x be g(9). Round x to the nearest ten thousand. 120000 Let k = -0.8532 - -0.93. Let x = -0.82 + 0.9. Let s = k - x. Round s to 3 dps. -0.003 Let y be 2*1 - (-1 - -3). Let j = y - -2. Suppose 2100 = -j*b + b. Round b to the nearest one thousand. -2000 Suppose 2*g + 5423 = -3*i - 19783, -2*i - g = 16803. What is i rounded to the nearest 1000? -8000 Suppose -4 = -5*z + 11. Suppose j - 3*s = 2*s - 25730, 77154 = -z*j - 3*s. Let y = 15320 + j. What is y rounded to the nearest 1000? -10000 Let n = 1 - -6. Let r = -12.45985 - -19.46. Let u = r - n. Round u to 4 decimal places. 0.0002 Let a = -1.05 - 24.45. Let j = -25.608905 + 0.127205. Let w = a - j. Round w to three dps. -0.018 Let x(q) = -q**3 + 2*q**2 + 7*q + 5. Let g be x(8). What is g rounded to the nearest ten? -320 Let r = 0.09 - 0.096. Round r to 2 decimal places. -0.01 Let q = -113.000093 + 113. What is q rounded to 5 decimal places? -0.00009 Let s = -17.152 + 17. Let w = s + -78.848. Let q = w - -86.6. Round q to zero dps. 8 Let s(m) be the third derivative of -21875*m**4/3 - m**2. Let b be s(-12). What is b rounded to the nearest one million? 2000000 Let m be (-3)/((-36)/(-80))*-54. Round m to the nearest ten. 360 Let o = -59.029 + 59. Let r = 0.058 + o. Let k = r - -0.241. What is k rounded to 1 decimal place? 0.3 Let d = 55.7 + -61. Round d to the nearest integer. -5 Let o = 895.3 - 662. Let i = -263 + 39. Let w = i + o. What is w rounded to the nearest integer? 9 Let o = 19032682623.4807 + -19078934242.4806949. Let s = o + 46251616. Let w = s - -3. Round w to six dps. 0.000005 Let k = 2701 + -1901. Let t be 2*1 - (2 + k). Round t to the nearest 100. -800 Let q = 0.009 + -10.809. What is q rounded to the nearest integer? -11 Suppose -o = 5326192 + 30273808. Round o to the nearest 1000000. -36000000 Let j(c) = 1783209*c - 7. Let r be j(-7). Let i = -23282470 - r. Round i to the nearest 1000000. -11000000 Let y = 2867943 + -2867943.3999991. Let v = -1.6 + 2. Let x = v + y. Round x to six decimal places. 0.000001 Let m(s) be the second derivative of s**5/20 + 11*s**4/12 - 2*s**3 + 7*s**2 + 3*s. Let h be m(-12). Round h to the nearest 10. 10 Let v = 0.11 - 28.11. Let t = v - -27.9999949. What is t rounded to six decimal places? -0.000005 Let b be (-60)/(-35) + (-2)/(-7). Suppose c - 4*c - 15 = -4*f, -5*f + 36 = b*c. Suppose -2*o - 6720 = -f*o. What is o rounded to the nearest 100? 1700 Let h = -3.95 - 0.05. Let m = h - -8.3. Let g = m - 4.3000066. What is g rounded to six decimal places? -0.000007 Let b = 11659 - -7289. Suppose -39052 = -2*p + b. Round p to the nearest 10000. 30000 Let u = -0.0900698953 + -207.9099310147. Let w = 208 + u. Round w to seven dps. -0.0000009 Let q = 51.9999376 + -52. Round q to five dps. -0.00006 Let x = -36213001.936038 - -36208287.33. Let u = 4719.006 + x. Let w = 4.4 - u. Round w to five dps. 0.00004 Let q = 0.0530063 - 0.053. Round q to 6 decimal places. 0.000006 Let w = 243 + -264.2. Let m = w + 19. Round m to zero dps. -2 Let q = -690892 + 1191892. Round q to the nearest ten thousand. 500000 Let b = 18 - 17.71. Let m = b - 0.07. Let c = m + -0.2231. What is c rounded to three decimal places? -0.003 Let b = 34 + -11. Let f = 198411.000072 - 198434. Let m = f + b. What is m rounded to five decimal places? 0.00007 Let n = 2066 + -1979.7. What is n rounded to the nearest ten? 90 Let u = -708726.01899895 + 708726. Let b = 0.019 + u. Round b to seven decimal places. 0.0000011 Let i = -353 + 352.99999811. What is i rounded to 7 decimal places? -0.0000019 Let o = -0.7 + -12.7. Let u = o + -81.6. Let y = u + 95.0059. Round y to 3 dps. 0.006 Let a = 216 + -216.00924. What is a rounded to 3 dps? -0.009 Suppose -5*s + 210407 = -469593. What is s rounded to the nearest ten thousand? 140000 Let h(t) = 2221*t**2 + 8*t + 6. Let b be h(-5). Suppose p + 3*y - b = -2*p, -5*p + 92515 = -5*y. What is p rounded to the nearest 1000? 19000 Let o = -7.25 - -7. Let z = 3.48 - o. Let w = z - 3.5. Round w to one decimal place. 0.2 Let u =
{ "pile_set_name": "DM Mathematics" }
lacement from ooooooooooooooovooov. What is prob of picking 2 o? 153/190 Three letters picked without replacement from zhhl. Give prob of picking 1 l, 1 z, and 1 h. 1/2 Four letters picked without replacement from bccccmccbmcc. Give prob of picking 4 c. 14/99 Three letters picked without replacement from {g: 3, s: 4, p: 1}. What is prob of picking 3 s? 1/14 Calculate prob of picking 4 j when four letters picked without replacement from {j: 6}. 1 Calculate prob of picking 3 x when three letters picked without replacement from xxxxnxnnnxnnnxxxnnn. 28/323 Two letters picked without replacement from ccccsssusccccpj. Give prob of picking 2 s. 2/35 Two letters picked without replacement from {w: 1, g: 2}. Give prob of picking 2 g. 1/3 Four letters picked without replacement from {j: 2, k: 1, d: 2, u: 2, i: 1}. What is prob of picking 2 u and 2 j? 1/70 Two letters picked without replacement from {k: 2, w: 9}. What is prob of picking 2 k? 1/55 Three letters picked without replacement from {j: 1, n: 1, x: 2}. Give prob of picking 3 n. 0 What is prob of picking 1 s and 2 g when three letters picked without replacement from {u: 2, g: 6, q: 3, s: 2}? 15/143 Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {o: 2, v: 1, l: 2, b: 11}. 1/60 Calculate prob of picking 1 l and 1 t when two letters picked without replacement from fktlb. 1/10 What is prob of picking 2 f when two letters picked without replacement from {n: 10, t: 1, f: 4, j: 4, m: 1}? 3/95 Calculate prob of picking 1 e, 1 w, and 1 p when three letters picked without replacement from {e: 1, p: 3, s: 2, w: 1, o: 7}. 3/364 Two letters picked without replacement from {p: 1, a: 1, r: 9, f: 7}. Give prob of picking 1 r and 1 f. 7/17 Three letters picked without replacement from {s: 3, w: 1}. Give prob of picking 3 s. 1/4 Three letters picked without replacement from vrv. Give prob of picking 3 v. 0 Two letters picked without replacement from jzczzrw. What is prob of picking 1 c and 1 r? 1/21 Calculate prob of picking 2 r and 1 a when three letters picked without replacement from rrrarmrrr. 1/4 Calculate prob of picking 1 b and 3 x when four letters picked without replacement from xbxllllrrrrlx. 1/715 Calculate prob of picking 1 f, 2 k, and 1 l when four letters picked without replacement from ljfiliwfkkii. 4/495 Calculate prob of picking 2 o when two letters picked without replacement from ddooodo. 2/7 What is prob of picking 2 o and 2 w when four letters picked without replacement from wwooowowooooowoo? 55/182 What is prob of picking 3 k when three letters picked without replacement from kkkkkkjkjkkkk? 15/26 Four letters picked without replacement from {s: 5}. Give prob of picking 4 s. 1 What is prob of picking 1 n, 1 w, 1 f, and 1 z when four letters picked without replacement from nfnwnwwnzzwfwwwzwtw? 18/323 Three letters picked without replacement from uuluullulluu. What is prob of picking 3 l? 1/22 What is prob of picking 2 d when two letters picked without replacement from znpzpzddnnznznzg? 1/120 What is prob of picking 2 k when two letters picked without replacement from {o: 3, g: 4, k: 6}? 5/26 Four letters picked without replacement from {w: 2, z: 8, n: 1, v: 1, f: 7}. Give prob of picking 2 z, 1 w, and 1 f. 98/969 Three letters picked without replacement from {y: 2, a: 3}. Give prob of picking 3 a. 1/10 Calculate prob of picking 2 q when two letters picked without replacement from {u: 2, p: 1, i: 5, e: 3, q: 5}. 1/12 Four letters picked without replacement from {t: 5, i: 12, y: 1}. What is prob of picking 4 i? 11/68 What is prob of picking 4 n when four letters picked without replacement from nkknnenkkmnnqkmmkmke? 1/323 Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {u: 1, l: 1, j: 2}. 1/6 Two letters picked without replacement from {g: 7, r: 2}. Give prob of picking 1 g and 1 r. 7/18 Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, s: 7}. 6/55 Calculate prob of picking 2 e when two letters picked without replacement from epeeteuueceede. 4/13 Two letters picked without replacement from pyfyydyyypypyypyypy. Give prob of picking 1 f and 1 p. 5/171 Three letters picked without replacement from hsnyynhhnhs. What is prob of picking 1 n and 2 y? 1/55 Calculate prob of picking 1 e and 2 g when three letters picked without replacement from {e: 2, g: 3}. 3/5 Calculate prob of picking 2 z when two letters picked without replacement from eeeeeeeeezzeezezeeze. 1/19 What is prob of picking 1 l and 2 h when three letters picked without replacement from hlssccshhc? 1/40 Two letters picked without replacement from wbfbxbs. What is prob of picking 1 b and 1 x? 1/7 Four letters picked without replacement from {t: 2, r: 6}. Give prob of picking 1 t and 3 r. 4/7 What is prob of picking 3 w when three letters picked without replacement from jwjjjjwjwjjjwjjjjjw? 10/969 What is prob of picking 1 f and 2 a when three letters picked without replacement from {f: 6, c: 2, m: 1, a: 3}? 9/110 Three letters picked without replacement from {w: 6, i: 13}. Give prob of picking 2 w and 1 i. 65/323 Two letters picked without replacement from qfdxffqffnffnndqqdqf. What is prob of picking 1 n and 1 q? 3/38 Two letters picked without replacement from hhpspssshs. Give prob of picking 1 h and 1 s. 1/3 Two letters picked without replacement from smqqj. Give prob of picking 1 m and 1 j. 1/10 Three letters picked without replacement from {z: 8, e: 6, i: 3}. What is prob of picking 3 z? 7/85 Calculate prob of picking 1 v and 1 e when two letters picked without replacement from wxweqwweeveejwxw. 1/24 Two letters picked without replacement from {q: 8, g: 2}. Give prob of picking 1 q and 1 g. 16/45 Three letters picked without replacement from yrryyy. Give prob of picking 2 r and 1 y. 1/5 Calculate prob of picking 2 o when two letters picked without replacement from {o: 1, d: 1, c: 5, f: 2}. 0 Calculate prob of picking 2 c and 2 f when four letters picked without replacement from {p: 1, f: 1, a: 4, h: 1, w: 3, c: 2}. 0 Calculate prob of picking 2 r when two letters picked without replacement from rrrrlrrrrrllrr. 55/91 Two letters picked without replacement from ssssvsssssssssssssvs. What is prob of picking 1 s and 1 v? 18/95 Calculate prob of picking 1 u, 1 r, and 1 v when three letters picked without replacement from vrvvovaaooovvvuoo. 7/680 Three letters picked without replacement from iuiuuutt. Give prob of picking 3 u. 1/14 What is prob of picking 1 w and 1 s when two letters picked without replacement from {w: 3, s: 3, i: 2}? 9/28 Calculate prob of picking 1 d, 1 u, and 2 a when four letters picked without replacement from eduaa. 1/5 Two letters picked without replacement from {j: 4, y: 3, k: 2}. Give prob of picking 2 k. 1/36 What is prob of picking 3 o when three letters picked without replacement from hrrohooroorhroh? 4/91 Three letters picked without replacement from {f: 7, x: 1}. Give prob of picking 3 f. 5/8 Three letters picked without replacement from ppppkpppkppkkp. Give prob of picking 1 k and 2 p. 45/91 Two letters picked without replacement from {n: 3, k: 2, q: 4}. What is prob of picking 2 n? 1/12 Calculate prob of picking 4 l when four letters picked without replacement from {l: 4, b: 6}. 1/210 Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {f: 1, v: 4, w: 12, y: 3}. 18/95 Calculate prob of picking 3 t and 1 g when four letters picked without replacement from {t: 7, g: 3}. 1/2 Three letters picked without replacement from {v: 1, l: 1, x: 1, j: 1, e: 1, k: 2}. What is prob of picking 1 e, 1 v, and 1 l? 1/35 Two letters picked without replacement from {t: 3, z: 5, y: 1, g: 3, q: 6}. What is prob of picking 2 z? 10/153 What is prob of picking 3 m when three letters picked without replacement from mmmmmmeememmmmemme? 143/408 Four letters picked without replacement from pppppppxpippppipipxp. Give prob of picking 1 x, 2 i, and 1 p. 6/323 Four letters picked without replacement from tttttttttttttftttttf. What is prob of picking 2 t and 2 f? 3/95 Two letters picked without replacement from udnddddduddddd. Give prob of picking 2 u. 1/91 What is prob of picking 1 b and 1 k w
{ "pile_set_name": "DM Mathematics" }
1 g? 28/969 Calculate prob of picking 1 y, 2 a, and 1 z when four letters picked without replacement from gszsssggayas. 1/495 Two letters picked without replacement from gkgggkgggg. Give prob of picking 1 g and 1 k. 16/45 Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {u: 2, n: 2, r: 8, e: 1, v: 1, q: 1}. 1/105 Two letters picked without replacement from rirriirrrrbrebbirier. What is prob of picking 1 e and 1 b? 3/95 Three letters picked without replacement from {u: 4, k: 10}. What is prob of picking 2 u and 1 k? 15/91 Four letters picked without replacement from kkkkkkkkqkkkkkkkqkkk. What is prob of picking 2 k and 2 q? 3/95 Two letters picked without replacement from {u: 2, f: 1, v: 3, q: 4, s: 7, e: 1}. Give prob of picking 1 v and 1 q. 4/51 What is prob of picking 1 j and 1 f when two letters picked without replacement from fdjf? 1/3 What is prob of picking 2 z, 1 q, and 1 e when four letters picked without replacement from {a: 1, e: 2, q: 1, t: 1, z: 2}? 2/35 What is prob of picking 2 q when two letters picked without replacement from {h: 6, b: 1, q: 7}? 3/13 Calculate prob of picking 3 x and 1 k when four letters picked without replacement from kexsbkjxbbjx. 2/495 Four letters picked without replacement from bnbmmnnmmlmbbbb. What is prob of picking 3 m and 1 b? 4/91 Two letters picked without replacement from {a: 1, h: 1, l: 2, t: 1, u: 1, m: 1}. Give prob of picking 1 m and 1 l. 2/21 Four letters picked without replacement from {w: 1, i: 5, x: 2, q: 3, g: 1}. What is prob of picking 1 g and 3 i? 2/99 Calculate prob of picking 1 l, 1 g, and 1 d when three letters picked without replacement from ldxllxlxgd. 1/15 Two letters picked without replacement from {e: 6, d: 8, i: 3}. What is prob of picking 1 d and 1 i? 3/17 Calculate prob of picking 1 b and 1 t when two letters picked without replacement from vagbttz. 2/21 What is prob of picking 1 i and 1 p when two letters picked without replacement from {i: 2, p: 1, f: 1, c: 2, o: 1, z: 2}? 1/18 Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {p: 5, z: 5, n: 1}. 1/11 What is prob of picking 2 z when two letters picked without replacement from {j: 13, z: 6}? 5/57 What is prob of picking 2 f when two letters picked without replacement from {v: 3, n: 2, f: 2, w: 5}? 1/66 What is prob of picking 1 e and 1 x when two letters picked without replacement from eexeeeee? 1/4 What is prob of picking 1 p and 2 r when three letters picked without replacement from {r: 2, p: 3, k: 1, e: 1, u: 3}? 1/40 Two letters picked without replacement from {k: 5, m: 5, v: 1}. Give prob of picking 1 v and 1 m. 1/11 Three letters picked without replacement from mmttmytemtmt. Give prob of picking 1 y, 1 e, and 1 t. 1/44 Two letters picked without replacement from {i: 4, z: 2, c: 4, k: 1}. Give prob of picking 2 i. 6/55 Two letters picked without replacement from {r: 2, m: 2, f: 1}. What is prob of picking 1 r and 1 m? 2/5 Three letters picked without replacement from fulnflduhffnufufffun. Give prob of picking 1 n, 1 h, and 1 d. 1/380 Two letters picked without replacement from rpcanvcvaappnrncap. Give prob of picking 2 v. 1/153 Two letters picked without replacement from {i: 1, q: 1, o: 3, w: 1, n: 2, e: 4}. What is prob of picking 2 e? 1/11 What is prob of picking 1 i and 1 v when two letters picked without replacement from {k: 1, i: 5, m: 1, v: 3, l: 2}? 5/22 Four letters picked without replacement from gggggcgg. Give prob of picking 1 c and 3 g. 1/2 Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {c: 1, w: 1, h: 2, e: 2}. 1/15 Two letters picked without replacement from {m: 10}. What is prob of picking 2 m? 1 Four letters picked without replacement from {h: 16, q: 4}. Give prob of picking 4 h. 364/969 Two letters picked without replacement from {b: 1, o: 1, s: 2, m: 2, w: 1, p: 1}. What is prob of picking 1 w and 1 p? 1/28 Calculate prob of picking 4 c when four letters picked without replacement from xxcxeccxeexcxxe. 1/1365 What is prob of picking 2 z when two letters picked without replacement from zzzzzzzzzzzzhvzzh? 91/136 Calculate prob of picking 1 b and 1 k when two letters picked without replacement from kkbbkkkkkkkkk. 11/39 Four letters picked without replacement from {v: 4, s: 13, n: 3}. What is prob of picking 1 n and 3 s? 286/1615 What is prob of picking 1 j, 1 t, and 1 x when three letters picked without replacement from ooooooxxjtoooooj? 1/140 Three letters picked without replacement from ssutsddtsss. Give prob of picking 1 d and 2 t. 2/165 Calculate prob of picking 3 r and 1 u when four letters picked without replacement from {x: 1, z: 1, l: 2, u: 1, a: 1, r: 1}. 0 Four letters picked without replacement from {l: 2, t: 5, e: 6, v: 1, d: 1}. What is prob of picking 3 e and 1 v? 4/273 Three letters picked without replacement from wwywyyyyyyyyyyyyyyyw. What is prob of picking 2 y and 1 w? 8/19 Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {o: 7, i: 7, g: 2, l: 1}. 1/68 Four letters picked without replacement from cvscccvzscsvccszczvc. What is prob of picking 2 c and 2 v? 72/1615 Two letters picked without replacement from xxojx. What is prob of picking 2 o? 0 What is prob of picking 1 m, 1 a, and 1 z when three letters picked without replacement from amaazaz? 8/35 Three letters picked without replacement from {c: 1, y: 1, b: 1, p: 2, l: 2}. Give prob of picking 2 p and 1 y. 1/35 Calculate prob of picking 1 t, 1 f, 1 m, and 1 r when four letters picked without replacement from rtrmuufutu. 2/105 Four letters picked without replacement from {g: 1, w: 4, i: 1, r: 7}. Give prob of picking 1 g and 3 r. 7/143 Two letters picked without replacement from yyjjccyycgn. Give prob of picking 1 g and 1 c. 3/55 Three letters picked without replacement from {v: 1, m: 1, w: 2, a: 1, q: 1, k: 1}. What is prob of picking 1 a and 2 w? 1/35 Four letters picked without replacement from {o: 1, b: 1, w: 2, d: 2}. Give prob of picking 2 w, 1 b, and 1 d. 2/15 Two letters picked without replacement from {w: 2, o: 1, j: 4, e: 3}. Give prob of picking 1 w and 1 j. 8/45 Calculate prob of picking 2 x when two letters picked without replacement from xxxqqqqqxqqqqqqqqq. 2/51 Four letters picked without replacement from xximximii. What is prob of picking 1 m and 3 x? 1/63 Three letters picked without replacement from bbbv. Give prob of picking 2 b and 1 v. 3/4 Two letters picked without replacement from {p: 3, h: 4, v: 1, g: 2, m: 1}. Give prob of picking 1 v and 1 m. 1/55 Calculate prob of picking 2 q and 1 z when three letters picked without replacement from {q: 5, r: 7, z: 4}. 1/14 Four letters picked without replacement from fnffnjnyufjy. Give prob of picking 1 j, 1 y, 1 f, and 1 n. 16/165 Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {k: 1, j: 7, p: 3, q: 4, l: 1, i: 2}. 7/51 Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {p: 5, v: 1, h: 1, e: 1, j: 7}. 1/105 Two letters picked without replacement from {r: 2, b: 2, u: 4}. What is prob of picking 2 r? 1/28 What is prob of picking 1 e, 1 l, and 2 v when four letters picked without replacement from eesseeevlesleevl? 6/455 Calculate prob of picking 1 v and 1 b when two letters picked without replacement from uvbfwvo. 2/21 Four letters picked without replacement from zzjjrgjjjryjagjjr. Give prob of picking 2 z and 2 j. 1/85 Two letters picked without replacement from {i: 18, w: 1}. What is prob of picking 1 i and 1 w? 2/19 Two letters picked without replacement from jjljtjpjg. Give prob of picking 1 t and 1 j. 5/36 Calculate prob of picking 1 q and 1 v when two letters picked without replacement from ppqvppqqpqpv. 4/33 What is prob of picking 1 x and 1 d when two letters picked without replacement from ddxs? 1/3 Two letters picked without replacement from {z: 5, x: 3, b: 2, p: 9}. What is prob of picking 1 b and 1 x? 2/57 Four letters picked without replacement from xxlssslsxxsls. Give prob of picking 1 s and 3 x. 24/715 Two letters picked without replacement from {s: 1, e: 1, x: 2, j: 1}. What is prob of picking 1 x and 1 j? 1/5 Four letters picked wi
{ "pile_set_name": "DM Mathematics" }
alse Let o(y) = -y**2 - 5*y + 3. Let k be o(-6). Let c be (2/(-8))/((-3)/(-6))*(-48 - -56). Which is bigger: c or k? k Suppose 0 = -4*a + a + 48. Let v be (2/(-4))/(-2*4/a). Is 3 less than or equal to v? False Let q = -43.07 + 43. Let m = 3 + -3.2. Is q less than m? False Let z be (-4 + (2 - 0))*14/(-4). Suppose 3*d = 5*l - 15 - 9, -22 = -3*l - 2*d. Which is bigger: l or z? z Let b be 4/(4/1) + -18. Suppose 3*z = g - 0 + 4, -3*g - 2*z - 56 = 0. Is g smaller than b? False Let l = -1621 + 1622.8. Which is smaller: l or 27? l Suppose 3*n - 4*c + 0 = 20, -4*c = 4*n - 8. Let v = n + -4. Suppose 2*g = -5*f + 17, -2*f + 3 = -3*g - v. Which is smaller: 2 or f? 2 Let d be 24/(-18)*8/(-32). Is 34.4 != d? True Let o be (6 + (-1 - 12))/1. Let p(s) = s**2 + 6*s + 5. Let a be p(-4). Let v = a - o. Are 1/2 and v unequal? True Let c(d) = -d**2 + d - 1. Let f(x) = 14*x - 15. Let h(l) = c(l) - f(l). Let v be h(-14). Is v greater than -3/86? True Let h(p) = -p**2 - 5*p - 1. Let f be h(-3). Suppose 2*d = 3*c + 2, -f*d - 3*c = 2*c - 5. Let x = -784.8 + 785. Which is bigger: d or x? d Suppose -3*d - 2 + 20 = 0. Let h(v) = v**2 - 2 - v**3 - 4*v + 11*v + 0 + 4*v**2. Let k be h(d). Is k greater than or equal to 1? True Suppose 240 = -4*a - 24. Let v be 4/3*a/(-143). Is v < 0? False Let p be ((-3)/(-1))/(90/(-1572)). Let r = p - -52. Which is bigger: r or 2? 2 Let h be ((-6)/(-4))/(-1) + (-1278)/(-852). Is h at least 3/1094? False Let r(l) = 8*l + 41. Let c be r(-5). Are c and -3/41 nonequal? True Let x = -3619465/19 + 191218. Let k = -720 + x. Which is smaller: 0 or k? k Let b(t) = -7*t - 55. Let c be b(-8). Which is smaller: 1/201 or c? 1/201 Suppose w - 2*d - 3 = -391, 746 = -2*w - 2*d. Is -377 greater than or equal to w? True Let y = -512 + 1535/3. Which is smaller: 0.027 or y? y Let g(z) = -z**2 + 5*z + 2. Let a be g(7). Let s = a - -12. Suppose 5*p + 8 = 3. Is s != p? True Let o = -5 + 11. Suppose 2*h - 4 + o = -4*y, 0 = 5*y - 5*h - 20. Let z = -77 - -230/3. Is y at most as big as z? False Suppose 99 = k + 3*b, b = -5*k + 3*b + 529. Let o = 118 - k. Is o bigger than 41/3? False Let m(j) = j**2 + 5*j + 5. Let u be m(-4). Let x = 71.8 - 64. Let i = -0.8 + x. Are i and u equal? False Let s be 5 - (8/(-20) + (-132)/(-30)). Which is bigger: s or 5/18? s Let s = -28866/13 - -2220. Is s at most 6? True Let s = 278/7 + -40. Let d = 8.645 + -34.645. Which is smaller: s or d? d Let a be 20/(-2) + (-2 - -6). Let m(k) = k - 12. Let v(r) = -6*r + 60. Let c(q) = -16*m(q) - 3*v(q). Let d be c(a). Which is smaller: -2 or d? -2 Let c(v) = 2*v**2 + v - 1. Let z be c(-1). Is z bigger than -4/79? True Let v(r) = r + 1. Let s be v(-3). Let w be (-42)/(-36)*(-4 - s). Does 0 = w? False Let w = 30 - 39. Suppose 5*r + i = 3*i - 12, -4*r + 4*i = 0. Let h be -4 + r + (-3 - -3). Is h >= w? True Let u be 117/12 + 3/12. Suppose -u*r = -r - 135. Which is bigger: r or 3? r Let n(h) = -3*h + 7. Let a(u) = 6*u - 15. Let j(k) = 4*a(k) + 9*n(k). Suppose o - 2*o = -2. Let y be j(o). Is y not equal to -3? False Let s be (-81)/8*572/33. Which is smaller: s or -175? s Let z be 4 + -5 + -1 + 20. Suppose 3*o + z = -0*o. Let p be ((-6)/(-54))/((-2)/o). Which is smaller: -0.3 or p? -0.3 Let s be -3*(0 + 1)*138/9. Let w be ((-6)/4)/(21/(-112)*s). Which is smaller: -1 or w? -1 Let u = -77/1737 - -30/193. Let d = 6 - 6.4. Are d and u nonequal? True Suppose u = -0*u - 1, 2*u = w - 3. Let y be 2*((-2)/4 - 1) + 3. Which is greater: y or w? w Let m be ((-1)/(-1))/(6/12). Let n(h) = 4*h**m - h**3 + 2*h - 3*h**2 + 2*h**2 - 4*h. Let r be n(1). Do r and 2/3 have the same value? False Let s(p) = -p + 2. Let x be s(1). Let a(n) = -7*n + 6*n**2 - 5*n**2 + 2 - 4. Let k be a(7). Is k < x? True Let g be 1*15/9*3. Suppose -3*k - 4*m + 12 = 0, -3*k + g = m - 7. Suppose -k*z + 18 = -6*z - x, 0 = -5*x + 10. Which is greater: z or -9? -9 Let n(f) = 11*f + 16. Let u(p) = -7*p - 11. Let a(o) = 5*n(o) + 8*u(o). Let l be a(-6). Let y = -4268 - -4265. Which is smaller: y or l? y Let y(b) = 2*b**2 + 10*b - b**2 - 2*b**2 + 0*b**2 - 6. Let n be y(10). Is -4 greater than n? True Let l(a) = -5*a**2 + 3*a. Let v be l(-1). Is v less than -55/8? True Suppose -b + 29 = 3*j - 2*b, 3*j + b - 25 = 0. Let z = 1615/212 + 7/53. Which is smaller: z or j? z Let f = -2 - 1. Suppose 4*u + 16 = 0, -5*j - 4*u - 66 - 35 = 0. Let q = -21 - j. Is f at most as big as q? False Let j be (1/(-2))/(-11 - (-2187)/198). Which is bigger: -78/7 or j? j Let h be (-4)/(-10) - (-2)/(-5). Let y be (-34)/(-23088)*-262 - 5/(-20). Let p = y + -2/111. Is p bigger than h? False Let q = -199 - -199.1. Which is smaller: q or 1/69? 1/69 Suppose -2*w = 2*t - 1310, 3*w + 4 + 11 = 0. Let m be -6*1/(-14) + t/(-21). Is m at most as big as -29? True Let b be 3/1 - (2 - 5). Let o be (-44)/4*(-5 - 0)/5. Which is bigger: b or o? o Let a = -36751 + 182763/5. Let k = -200 - a. Do k and 1/2 have the same value? False Let c = 4148 + -4147. Let w = 69 + -116. Which is greater: c or w? c Let b = -2502 + 1088369/435. Let h = -1159/435 + b. Let o be ((-7)/(-3) - 1)/((-2)/3). Which is bigger: h or o? o Let m = 189 + -751/4. Suppose 0 = -4*r + 9*r - 2*s - 27, -3*r = -5*s - 20. Suppose -11*a - r*a + 16 = 0. Which is smaller: m or a? a Suppose 2 = 2*w - 0. Let s = -70109/114 + 615. Let u = s + 679/570. Is u smaller than w? False Let q be (400/625)/(-2 - 12/(-5)). Which is smaller: 2 or q? q Let m = 29 + -26. Let x(i) = -i**2 + i + 1. Let g be x(1). Let v = 3 - g. Which is bigger: v or m? m Let f(z) = z + 27. Let i be f(-27). Let l be -1 - (-5)/(5/2). Which is greater: i or l? l Let n = -2 - -3. Does -1/2254 = n? False Let m be (39 + -2 + 0)*1. Which is bigger: m or 31? m Let q = 583 + -572. Let l be (-4)/22 - 369/(-33). Is q at most as big as l? True Let t = -506 - -532. Do t and 2 have different values? True Let v(a) be the second derivative of a**3/6 + 17*a**2 + 4*a. Let d be v(-14). Suppose -4*o + 0 = d. Is o greater than or equal to -6? True Let n be (-1)/(-3) - (-370)/6. Let w be (-42)/(-15)*n/(-4). Let h = w - -2357/55. Is h greater than -2? True Let j = -786397/81 - -9709. Is 0 at most j? True Let g(j) = -5*j**2 - 4*j - 2. Let a = 28 + -34. Let y(b) = 4*b**2 + 3*b + 2. Let t(s) = a*y(s) - 5*g(s). Let w be t(-4). Does 6 = w? True Suppose 0 = -9*w + 41*w + 224. Is w greater than or equal to -270/37? True Let v(o) = -o**2 - 3*o + 10. Let q be v(-4). Suppose -3*k - 3 = -q*k. Which is smaller: 2 or k? k Suppose -6*k + 14*k - 920 = 0. Which is greater: k or 117? 117 Let o = 249 + -269. Is o > 6? False Let a = 982/1215 + -2/243. Is -1/3 at least as big as a? False Let b = -193/234 - -10/13. Let k = 43/126 + b. Suppose 16 = -3*r - 8. Which is greater: k or r? k Suppose 3*p - p + 3*i = 32, -5*p - 5*i + 75 = 0. Let h = p - 12. Let k = -75 + 523/7. Is h less than k? False Let x = 40.397 - -0.603. Is x bigger than -0.1? True Suppose 26*x = 23*x + 24. Let p be (-10)/25*4/x. Which is greater: 0.02 or p? 0.02 Let k be 13 + -12 + -3 + 2/1. Suppose k = -m + 4*m. Which is smaller: m or -1? -1 Let b be 7/(-49) - 84912/84. Which is smaller: -1010 or b? b Let j = 196 + -197.4. Is j less than 1.5? True Let j = 0 + 0. Let m(q) = 3*q + 36. Let k be m(-8). Let h be -2*(k/26)/3. Is j > h? True Let g = 70 + -70. Suppose y = 3*y - 5*r - 41, -y - r + 3 = 0. Let f be y/68*(-1 + 2). Which is bigger: f or g? f Let p(q) = q**3 + 9*q**2 + 28*q + 51. Let m be p(-6). Let i = 13 - 24. Is m smaller than i? False Let k be 1/(1/3*1). Suppose k*d + 0*d = 90. Let y = 33 - d. Which is smaller: -2/3 or y? -2/3 Let h = -446 - -447. Is h at least as big as 0.42? True Let s = 85 + -82.3. Which is greater: 0 or s? s Let y be 6 - ((-88)/(-168))/(29/330). Do y and 1 have different values? True Let q = 839 - 841. Do -0.4 and q have the same value? False Let t(x) be the second derivative of x**4/12 - 11*x**3/6 + 11*x**2/2 + 8*x. Let w be t(10). Suppose 3*f = r + 14, -29 = -r - 3*r - 5*f. Is r > w? False Suppose -t + 3*o = 0, -5*t + 5*o + 12 - 2 = 0. Suppose 0 = t*y - 10 - 5, -5*b + 405 = y. Which is greater: b or 79? b Let v be (8 - -2)*6/45. Let f be (4 - 3) + 10/2 - 4. Is v at least as big as f? False Let n = 133.036 + -133. Let h = -0.164 - n. Let l = 1.7 - 2. Which is greater: h or l? h Suppose 71 - 44 = 9*s. Suppose -17 = -2*y + 3*
{ "pile_set_name": "DM Mathematics" }
f)*(-2 + 7 - 3))*(-13 - 13 + 6). -280*f Expand (-1 + x**2 - 5 - 8*x**2)*(-2*x**2 + 2*x**2 - 3*x**2). 21*x**4 + 18*x**2 Expand (2*o**2 + 1 - 1)*(4*o**2 + o**2 - 4*o**2) - 3937193 - 238*o + 3937193 + 2*o**4. 4*o**4 - 238*o Expand (-22*c + 113 - 113)*(1 + 15 + 2 + 0 + 5 - 4 + (2 - 2 + 1)*(-1 - 4 + 6) + 2 - 1 + 1 + 4 - 3 - 2). -462*c Expand (0*l - 3*l + 0*l)*(-20 - 133 - 66)*(4 + 0 - 5) + 4*l + 0*l + 0*l. -653*l Expand (0 - 3 + 2)*(1074*c**4 + 1382*c**4 + 1072*c**4). -3528*c**4 Expand (-1 + 0 + 6)*((-3 + 3 + z)*(4*z**4 + 3*z**4 - 4*z**4) + 16 - 16 - 13*z**5 + (-2*z + 2*z - z**4)*(0*z + z - 3*z)). -40*z**5 Expand (3*m + 2*m - 3*m)*(-229*m + 609*m + 740*m)*(-m - 3*m + 5*m). 2240*m**3 Expand (-349*y - 14711 - 567*y + 14711 + (2 + 1 - 8)*(2*y + 5*y - 5*y))*(1 + 1 - 3). 926*y Expand (-9*r**3 - 13 + 13)*(-2*r - 9 - 2*r**2 + 5*r**2 + 10) - 2*r**2 + 2*r**2 - r**5. -28*r**5 + 18*r**4 - 9*r**3 Expand (4 - 6 + 1)*(0*x - 5*x + 8*x) + (-2 + 3 - 3)*(-4*x + x + 2*x) + (-14 + 18 - 15)*(0*x + 0*x - 2*x). 21*x Expand (-128 - 190 + 39)*(a - a**2 - a)*(-4 + 2 - 2)*(-1 - 2 + 0). 3348*a**2 Expand 715*r**3 + 27 - 708*r**3 - 1 + (-r + 0*r + 2*r)*(-2*r**2 + 3*r**2 - 3*r**2). 5*r**3 + 26 Expand (17*t + 7*t + 7*t)*(-12 - 12 - 13). -1147*t Expand (-37*i + 12*i - 195*i)*(3*i + 2*i - 2*i) + 2*i**2 - 4*i**2 - 5*i**2. -667*i**2 Expand (-128*l - 42 + 42 + (-1 + 2 - 3)*(-7*l + 3*l + l) + 2*l + 4 - 4)*(-3*l**4 - l**2 + l**2). 360*l**5 Expand 1 - 1 + 2*b**2 + (-2 + 3 + 1)*(0*b**2 - b**2 - 9*b**2) - 8*b**2 - 7*b**2 + 6*b**2 + (-4*b + 0*b + 2*b)*(0 + 0 + 2*b) + b + b**2 - b. -30*b**2 Expand (5*n - n - n)*(-5 + 2 + 0) + (2 - 4 + 1)*(1268 - 332*n - 1268). 323*n Expand (1 - 3 + 3)*(3*y**4 - y + y) + 3*y**4 - 4*y + 4*y - 2*y + 2*y - 2*y**4 + (26 - 26 - 26*y**3)*(8 - 8 - 2*y). 56*y**4 Expand (-253*v**2 - 204*v**2 + 20*v**2)*(-37*v + 37*v - 29*v**2). 12673*v**4 Expand (8*b - 51 - 73 + 114)*(-b**3 + b**3 + b**3). 8*b**4 - 10*b**3 Expand (2*n - n + 7*n)*(4*n + 4*n - 6*n)*(2*n**2 - 2*n**2 + 3*n**3). 48*n**5 Expand (-1288 + 596 - 16)*(1 + 2*t - 1). -1416*t Expand (2*o**2 + 0*o**2 - o**2)*(0*o**3 + 4*o**3 - 3*o**3) - 758*o**3 + 760*o**3 + 2706*o**5 + 32*o**5. 2739*o**5 + 2*o**3 Expand ((-1 + 3 - 1)*(-1 + 1 - 2*s) + 2*s + 3*s - 6*s + 16 - 16 - 8*s)*(76 + 9*s - 76). -99*s**2 Expand (2 + 3*q - 2)*(4 + 4 - 3) + (3 + 2 - 3)*(-1 + 1 - q) + (3 + 0 - 1)*(-58 + 127*q + 58). 267*q Expand (-y**2 + 2*y**3 + y**2)*(115 + 101 - 347)*(-4 - 5 + 12). -786*y**3 Expand (8*z + 2*z + 5*z)*(-276*z**4 + 264 - 264) + (1 - z - 1)*(-2*z**4 + 5*z**4 - z**4). -4142*z**5 Expand (-2909*o + 1461*o + 1463*o - 5)*(-o + o + o)*(5*o + 15*o - 3*o). 255*o**3 - 85*o**2 Expand 393*k**3 + 226*k**4 - 393*k**3 + (-k**2 + 3*k**2 + 0*k**2)*(4*k**2 - 2*k**2 - 4*k**2) + 0*k**4 + 4*k**4 - 2*k**4. 224*k**4 Expand -214*a**5 + 97*a**5 + 73*a**5 - 11 + 11 + 7*a**5 + (-2*a + a**3 + 2*a)*(-4*a**2 + 2*a**2 + a**2). -38*a**5 Expand (z - 3*z + z)*(z - 3*z + 0*z) + 2067621*z + 4262*z**2 - 2067621*z. 4264*z**2 Expand (9 + 16 - 7)*(2*x - 3*x - x + x - 2*x - x + (4 + 2 - 3)*(10 - 5 - 13)*(-x - x + 0*x)). 792*x Expand (-4*s + 2*s + s + (-2*s + 0*s - 2*s)*(57 - 14 - 8)*(-2 + 2 - 2))*(1 - 2 - 3*s + s). -558*s**2 - 279*s Expand (2*z - 4*z + 4*z)*(-1 - 5 + 4) + (3 - 1 + 0)*(4 - 9 + 37)*(-1 - 3*z + 1). -196*z Expand (13*u + 8*u + 3*u)*(-u + 0*u - u - 12)*(8 - 44 + 15). 1008*u**2 + 6048*u Expand (-19*l - 10*l - 2 + 12*l)*(-9 - 8 + 3). 238*l + 28 Expand 2*o**4 - 7*o**2 + 7*o**2 + (3*o**3 - 4*o**3 + 2*o**3)*(-3*o + 37*o + 41*o) + 4*o**4 - 4*o**4 - 5*o**4. 72*o**4 Expand (6 - 6 + k**3)*(2 - 3 + 4)*(-24*k - 20*k + 7*k - 2*k + 0*k + 4*k + (0 + 3 - 1)*(4*k + 3 - 3)). -81*k**4 Expand (325 + 97 - 509 - 785)*(35 - 35 + 19*y). -16568*y Expand (-9*s**2 + 12 - 12 + (-5 + 5 + 3*s)*(-3 + 3 - s))*(13069*s - 13069*s + 270*s**2). -3240*s**4 Expand -2*x**4 + 0 - 2*x - 1 + 8*x + (-3*x - 2*x**3 + 3*x)*(95426 - 1244*x - 95426). 2486*x**4 + 6*x - 1 Expand (-197*u**3 - 2265*u + 2265*u)*(-3 + 0 + 1)*(5 + 0 - 1). 1576*u**3 Expand -5*b**2 + 2*b**2 + 5*b**2 + (b - b + 2*b**2)*(-1173 + 565 - 813 - 768). -4376*b**2 Expand (-3*l**2 + 4*l**2 - 4*l**2 + (-3 + 0 + 1)*(6*l - 6*l - 4*l**2))*(-25 + 34 + 5*l**2 + 129). 25*l**4 + 690*l**2 Expand (-225 - 301 - 650)*(-p**2 + 3*p**2 + 0*p**2). -2352*p**2 Expand (-q**5 - 2*q**5 + 2*q**5 + (-22*q**2 - 99*q**2 + 37*q**2)*(0*q**3 + q**3 + q**3))*(1 - 2 + 2). -169*q**5 Expand (y + 3*y - 2*y)*(2*y**3 + 17*y**3 + y**3) + (-9 - 6*y + 9)*(-6*y**3 + 5 - 5). 76*y**4 Expand (0 + 0 - m)*(193*m**2 - 289*m**2 - 430*m + 427*m)*(7 - 4 + 3). 576*m**3 + 18*m**2 Expand (28*l - 83*l + 41*l)*(540 + 18*l**3 - 540). -252*l**4 Expand (-3 - 2*r + 3)*(1 + 2 - 2) + (-2 - 2 + 5)*(2*r + 0 + 0) + (5*r - r - 3*r)*(16 - 16 - 18) - 1 + 1 - r. -19*r Expand (2*f + 7*f - 5*f)*(-237 + 43 - 347)*(4*f - f - 1 - 4*f). 2164*f**2 + 2164*f Expand 723 - 5*v**2 - 723 - 5*v + (v + 3 - 3)*(54*v + 1 - 27*v - 21*v). v**2 - 4*v Expand (1169*z**3 - 561*z**3 + 912*z**3 + 364*z**3)*(5*z**2 - z**2 - 3*z**2). 1884*z**5 Expand (14 - 18 - 16)*(-4*w - 5*w + w) + (12 + 4 + 4 - 1)*(2 - 2 - 2*w). 122*w Expand (s - s - s**3)*(-10*s**2 - 2*s**2 + 5*s**2 + 7 - 7 + s**2 + s**2 - s**2 + 2*s**2 + (4*s**2 + 2*s**2 - 3*s**2)*(-3 + 0 + 4) - 4*s**2 + 6*s**2 - 3*s**2). 2*s**5 Expand (-3*c**3 + 5*c**3 - 2 + 0*c**3 + (c + c - 3*c)*(3*c**2 - 3*c**2 - 2*c**2))*(502*c**2 - 3378*c**2 - 723*c**2). -14396*c**5 + 7198*c**2 Expand (-59*x + 59*x + 27*x**3)*(2 + 1 - 5)*(197 - 197 - 70*x**2). 3780*x**5 Expand 3*s**2 - 5*s**2 + 4*s**2 + (-2*s + 2*s + 5*s)*(1037 - 3142*s - 517 - 520). -15708*s**2 Expand (-2*r + 0 + 0)*(-3 + 2 + 2)*(3*r + 0*r - 5*r)*((11 - 2 + 0)*(4 + 8 - 9) + 1 - 2 + 2)*(r - r - 2*r**2 - 5). -224*r**4 - 560*r**2 Expand (0*c**2 + 33 - 70*c + 66*c + c**2)*(-122 - 117 - 154 + 42). -351*c**2 + 1404*c - 11583 Expand 39*i**3 + i**4 - 39*i**3 + (0*i**2 + 0*i**2 - 3*i**3)*(-3*i + 0*i + 5*i) - 1 + 1 + 57*i**4 + 41*i**4. 93*i**4 Expand (1124*b - 973 + 973)*(-2 + 3 - 3) - 5 + b + 0*b + 3. -2247*b - 2 Expand (-728*m + 728*m - 16*m**2)*(-m**3 + 6 - 6 + (3 - 3 - 2*m)*(-5*m**2 + m**2 + 2*m**2) - 7 + 8*m**3 + 7). -176*m**5 Expand -w - w + w + (0 + 2 - 4)*(-2*w + 3 - 3) - 2 + 2 + w + (0*w - w + 3*w)*(-2 + 0 + 0) - 98*w + 210*w - 251*w. -139*w Expand (30*o - 3*o - 74*o)*(o - 3*o + o)*(3 - 355*o + 356*o - 5). 47*o**3 - 94*o**2 Expand -i + i + i**4 + (-i + 4*i + i)*(-i**3 + 2174*i**2 - 2174*i**2). -3*i**4 Expand (-5*t - 2*t + 5*t)*(-69 + 20 - 16) - 2*t - t - 5*t. 122*t Expand (-5*a**4 + 3*a**4 + 4*a**4 + (1 + 5 - 4)*(8*a**4 - 19*a**4 - 12*a**4))*(0*a - 12*a + 2*a) - 2*a**5 + 2*a**5 - 2*a**5. 438*a**5 Expand ((0*m**2 - 2*m**2 - m**2)*(72 + m - 72) + 6*m**3 + 5*m**3 - 2*m**3)*(-4*m**2 + 0*m**2 + m**2). -18*m**5 Expand (-6677*l**3 - 5992*l**3 + 13911*l**3)*(4 - 4 + l**2). 1242*l**5 Expand (-51 + 57 - 8)*(5*m + 0*m - m). -8*m Expand (-j - 4*j + 2*j)*(-121100*j**3 + 121100*j**3 + 340*j**4) + 0*j**5 + 8*j**5 - 2*j**5 + j**5 - 6*j**5 + 3*j**5. -1016*j**5 Expand (-149*s - 88*s + 60*s)*(1 - 1 + 1) + (-4 + 3 + 0)*(2*s - 5*s + 4*s) + 0*s - 2*s + 4*s. -176*s Expand -19*r**3 - 2 + 0*r**3 - 79*r**3 + 2*r**3 + 0*r**2 + 0*r**2 + (-3*r + 1 - 1)*(-2*r**2 + 3*r - 3*r) - 9*r**3 + 2*r**3 - 9*r**3. -106*r**3 - 2 Expand (-12*d + 12*d + 9*d**2)*(-12*d + 5*d - 10*d) + 0*d - 3*d**3 + 0*d. -156*d**3 Expand 5*l**3 - l**3 - 2*l**3 + l**3 + 2*l - 2*l + (-2*l**2 - 4*l**2 + 3*l**2)*(-2*l - 3 + 3) + 3*l**3 - 3*l**3 - l**3 + 194*l**3 - 3188*l - 660*l**3 + 3186*l. -458*l**3 - 2*l Expand (-15*f - 2*f**2 + 15*f + 5 + (-f + 2*f + f)*(2*f + 0*f - 4*f))*(8*f + 70*f - 191*f). 678*f**3 - 565*f Expand 398*x**3 + 16*x**2 - 773*x**3 + 388*x**3 + (x - 6*x + 4*x)*(4*x**2 - 2*x**2 - x**2) - x**3 - 4*x**2 + 4*x**2. 11*x**3 + 16*x**2 Expand (488 - 70 + 514 + 763)*(0*r**4 - 4*r**4 + 2*r**4). -3390*r**4 Expand (7*u + 8*u - 17*u + 11 - 3*u - u + 2*u - 5*u - u + 4*u + (-2 + 4 - 1)*(u + 0 + 0) - 68 + 8*u + 68 - 4*u + 5*u + u)*(2*u**2 - u**2 + u**2). 10*u**3 + 22*u**2 Expand (41 - 65 - 153)*(31*h**3 - 25*h**3 - 27*h**3). 3717*h**3 Expand (4 - 7 - 8)*(-8611*z + 8618*z + 1 + 15). -77*z - 176 Expand (-y**4 - 2*y**5 + y**4)*(-40 - 34 + 5) + (2 + 2 - 3)*(-3 - 4*y**5 + 3). 134*y**5 Expand ((0 + 0 - 2*s)*(0 + 1 + 3) - 6*s + 2*s + s + (3 + 2 - 6)*(4*s + 0*s - 3*s))*(-198 + 43 - 140) - s - s + 3*s.
{ "pile_set_name": "DM Mathematics" }
= -11449980. Round h to the nearest one hundred thousand. 2300000 Let x = 7.155 + -149.095. What is x rounded to the nearest ten? -140 Suppose 0 = -3*w - 3*o + 12, 3 = 6*o - 3*o. Let y(d) = 42631*d**3 - 3*d**2 - 10*d + 20. Let p be y(w). Round p to the nearest one hundred thousand. 1200000 Let j = 5653.99999151 - 5654. Round j to six dps. -0.000008 Let h = 655 + -656.22652. Round h to two decimal places. -1.23 Let d(y) = 1686*y**3 + 7*y**2 + 8*y + 5. Let w be d(6). Let k = -199481 + w. Suppose g + 0*g - k = 0. Round g to the nearest ten thousand. 170000 Let o = 1837320 + -1837344.6384896. Let v = -3.6384962 - o. Let y = 21 - v. What is y rounded to six decimal places? 0.000007 Suppose 4*d = 5*d + 5*c + 1, -2*d - 2 = 3*c. Let f be ((-2)/(-10))/d - 26699994/30. Round f to the nearest 1000000. -1000000 Let w(c) = 32499999*c**3 + c. Let x(i) = -42*i**3 - i**2 + 1. Let d be x(-1). Let r = d + -41. Let v be w(r). Round v to the nearest one million. 33000000 Let c = 20.6216058 + 95965.2693942. Let z = -95946 + c. Let v = z + -40. Round v to 2 dps. -0.11 Let c be (-45000)/40*(879325/15 - -5). Round c to the nearest one million. -66000000 Let l(v) = 5*v**2 + 6*v**3 + 1 + 3*v - 16*v - 9*v**3 + 8. Suppose -9*f + 5*f + 36 = 0. Let a be l(f). Round a to the nearest 100. -1900 Suppose 856 = -94*n + 522*n. Let d = 3 - -62. Suppose d = -y + 3*b, 4*y - 113 + 413 = n*b. Round y to the nearest 10. -80 Let f(o) = 8*o + 6. Let t(r) = 9*r + 7. Let n(h) = 3*f(h) - 2*t(h). Let w be n(-1). Let x be 460/(-3)*(2 - 2/w). Round x to the nearest 100. -500 Let b = -0.031 + 1.731. Let k = -15.156 + b. Let o = k - 0.144. Round o to 0 dps. -14 Let b = 1117.199964708 - 1117.2. What is b rounded to five decimal places? -0.00004 Let c = 79.19824021445 - -6860047.90166578555. Let z = 6860134 - c. Let k = z + -6.9. Round k to 5 dps. 0.00009 Let u = -2091.3 - -2091.414363. What is u rounded to 3 decimal places? 0.114 Let d = -27.1341 + 446.5161. Let o = d + -420. What is o rounded to 1 decimal place? -0.6 Let u(n) = -7*n**2 - 14*n**2 + 1385000 + 12*n**2. Let p be u(0). Round p to the nearest one hundred thousand. 1400000 Let c be (21/28)/(9/4 + -2). Suppose 5*x + 8*g - 3*g - 35 = 0, 4*x = -c*g + 23. Suppose -3*l - 20759996 = x*u, -u + 1 + 1 = 0. Round l to the nearest 1000000. -7000000 Let b = -3.643 + 3.6432367. Round b to 5 decimal places. 0.00024 Suppose 32 = 11*l - 23. Suppose -2*h + 9*b + 14 = 11*b, 2*b = l*h - 14. Suppose 4*r - 5 = 4*o + 5255, h*o + 5285 = -r. Round o to the nearest 100. -1300 Let u = 8799.1282836 + -8815.0857. Let w = u - 0.0427116. Let n = w + 16. What is n rounded to 5 dps? -0.00013 Let a = -0.31744 + 0.07071. Let v = 0.2709 + a. Round v to three dps. 0.024 Suppose -3*o - 103 = 134. Let u = 79 + o. Suppose 5*v + z - 433996 = u, -3*v + 4*z + 260416 = -0*v. Round v to the nearest 10000. 90000 Let o = 158 + -157.806. Let k = -235.806 - o. Let v = k - -235.99731. What is v rounded to 4 dps? -0.0027 Let d = 44623.9542 - 44502. Let q = 122 - d. What is q rounded to 3 decimal places? 0.046 Let w = -5018076708 - -5018077130.9999793. Let z = -423 + w. What is z rounded to 6 decimal places? -0.000021 Let z = -3.8283 + 0.0523. Let j = z + 3.7757899. What is j rounded to 5 decimal places? -0.00021 Let x = 28517705 + -14409705. Round x to the nearest one hundred thousand. 14100000 Let y be (-12)/7 - 207444888/882. Round y to the nearest 10000. -240000 Let r = -0.14 - -0.48. Let g = -8.52089025 - -8.86089. Let n = r - g. Round n to seven decimal places. 0.0000003 Let d = -3950 + 3950.000000578. What is d rounded to 7 dps? 0.0000006 Let w = -5.4667 - -5.396. What is w rounded to three decimal places? -0.071 Suppose -b = 3, 26*b - 149 = -5*i + 29*b. Let q(k) = 6*k - 196. Let w be q(i). Round w to 0 decimal places. -28 Let u = 3441333.9609 - 3440501. Let r = u - 833. What is r rounded to two dps? -0.04 Let r = -137.8 + 789.8. Let n = r + -652.00291. What is n rounded to 4 dps? -0.0029 Suppose 8*s - 25 = 23. Suppose 5*n + 648195 = -4*p + s*p, 5*p - 1620498 = 2*n. Round p to the nearest ten thousand. 320000 Let b = 118.25 - 129.213. Let c = b + 11. Let k = 8.737 - c. What is k rounded to the nearest integer? 9 Let o = -265 - -16. Let n = -174.488 + -74.755. Let j = o - n. Round j to 2 decimal places. 0.24 Let m = -0.90634669 + 0.9064. Round m to 6 dps. 0.000053 Let d = -14477 - -14476.999983419. What is d rounded to seven decimal places? -0.0000166 Let d = -303 + 466. Let x = 163.0000164 - d. What is x rounded to six dps? 0.000016 Let p = -15 - 41. Let g = -54.97 - p. Let j = 1.03047 - g. Round j to four decimal places. 0.0005 Let g = 1830.9197 + -1831. Let z = 100.4803 + g. What is z rounded to the nearest ten? 100 Let x = 10.5699982934 - 10.57. What is x rounded to 7 dps? -0.0000017 Let y(q) = -689*q**2 - 68*q - 190. Let o be y(-20). What is o rounded to the nearest 1000? -274000 Let b = -3.919 + -374.581. Round b to the nearest 10. -380 Let f = -26258.995 - -26329. Let m = 70 - f. Round m to 1 dp. 0 Let m(p) = 2*p**3 + p**2 - 6*p - 7. Let h be m(-2). Let v be (-175)/10*((-300)/h + 0). What is v rounded to the nearest 100? -800 Let j = 3304.01027 + -3304. What is j rounded to 4 decimal places? 0.0103 Let r be (0 - -1) + 0 + 1. Suppose r*s = 1075 - 217. Suppose s + 51 = -6*z. Round z to the nearest ten. -80 Let f = 462.591 - 463. Let k = 0.41214 + f. What is k rounded to 3 decimal places? 0.003 Let o = 833.1851 - 0.1851. Let w = -833.0778 + o. Round w to 3 dps. -0.078 Let s = -38646 - -38716.663. What is s rounded to the nearest integer? 71 Let y be (-6832044)/(-8) + (-55)/10. Round y to the nearest ten thousand. 850000 Let k = 152861 - 69291. What is k rounded to the nearest ten thousand? 80000 Let t = 2771 + -2772.3914. What is t rounded to two decimal places? -1.39 Let l(h) = h**2 + 2*h - 5. Let t be l(2). Suppose -15303 = -2*k + t*g, g - 30607 = -4*k + 6*g. Let u be (-3 - k*49)*16. Round u to the nearest 1000000. -6000000 Let d = 8.0746 - 8.479. Round d to 2 dps. -0.4 Let j = -7692.99983308 - -7693. Round j to five dps. 0.00017 Let w = -7435.6697 + 7432.3. Round w to one decimal place. -3.4 Suppose -21*c = -65*c + 176. Suppose -c*y - 217590 = 2*g, -y - 32040 = -3*g + 22375. Round y to the nearest one thousand. -54000 Suppose 12*t - 2*l - 6228004 = 9*t, 3*l + 6228006 = 3*t. What is t rounded to the nearest one million? 2000000 Let f = 456140 - 455896.00291. Let p = f - 244. What is p rounded to 3 decimal places? -0.003 Let k = 2063 - 1234. Let p be 45000/(-27)*-6*k. Round p to the nearest one million. 8000000 Let h = 8.8513 - -0.7107. Round h to zero dps. 10 Let v = 6116 - 7903. Round v to the nearest one hundred. -1800 Let v(n) = -147104*n + 272. Let p = -381 + 374. Let g be v(p). Round g to the nearest one hundred thousand. 1000000 Let i = -6.36 + 6.359997597. Round i to seven decimal places. -0.0000024 Let z = -0.55 - -3.65. Let j = 52.1 - z. Let x = 48.999935 - j. Round x to 5 decimal places. -0.00007 Let m be (-9 - -3)/(1/((-20)/12)). Suppose -m = 2*z, 2*b - 11*z + 113195 = -10*z. What is b rounded to the nearest 1000? -57000 Let w = -146 + 27. Let h = w + 119.0148. Round h to 2 decimal places. 0.01 Suppose 0 = -2*y + 110254 + 96480 - 63134. Round y to the nearest ten thousand. 70000 Let n = 633.84136156 + 5.16260744. Let s = 639 - n. What is s rounded to 4 decimal places? -0.004 Let b = -173.967 - -61.37. What is b rounded to 0 dps? -113 Let q be 7/(56/30) + (-3)/(-12). Let g be (-101003 - -3)/(q + 3/(-1)). Round g to the nearest ten thousand. -100000 Let k = 21027.641 - 21014. Round k to 0 dps. 14 Let a = -3183 - -3177.023. Round a to 1 dp. -6 Suppose -15*f + 14*f = -2. Suppose f*x = -3*x + 66900. Suppose 4*s = 2*a + s + 13385, 4*s = 2*a + x. Round a to the nearest 1000. -7000 Let c = 0.004404 - 0.0044088191. Round c to seven decimal places. -0.0000048 Let y = 2471.87 - 2488. Round y to the nearest 10. -20 Let n = -2258.999998438 + 2259. Round n to 7 decimal places. 0.0000016 Suppose 38*m - 42*m - 234382 = 6*x, -4*m + 2*x = 234406. What is m rounded to the nearest 1000000? 0 Let d = 751.65 + -500.56. Round d to the nearest integer. 251 Let y = -4627.6924 + 4636.4. Let q = y + 0.0124. Let t = q + -8.71607. Round t to three decimal places. 0.004 Let q = 5053021
{ "pile_set_name": "DM Mathematics" }
50013? -12454150021 In base 2, what is -101 + 1000000001010110111100110? 1000000001010110111100001 In base 3, what is -10222 + -10021122010? -10021210002 In base 6, what is 130143531 - 4? 130143523 In base 4, what is 23111322122 + -2? 23111322120 In base 15, what is 47cc34b - 4? 47cc347 In base 2, what is 101 + -111001000000110000010110011? -111001000000110000010101110 In base 8, what is 1565 + 2056? 3643 In base 4, what is 2020 - -123013321? 123022001 In base 8, what is 607 + 37375? 40204 In base 11, what is -3595 - 4132? -7717 In base 15, what is 2028 - 1e1? 1d37 In base 7, what is 5305201 - 261? 5304610 In base 15, what is -ac - aae2? -ab9e In base 8, what is -1070240 - 573? -1071033 In base 14, what is -b13 + -4351? -5064 In base 6, what is -23321 - -440? -22441 In base 3, what is -22211022211 + -11002? -22211110220 In base 4, what is -13301 - 221023? -300330 In base 15, what is 6 + -635c2e6? -635c2e0 In base 12, what is 2511 + -3bb97? -39686 In base 4, what is -10212112 + -21222? -10300000 In base 13, what is -6a980 - 43? -6a9c3 In base 4, what is 1303 - 10222100212? -10222032303 In base 16, what is -443c + f1? -434b In base 9, what is -25 + -460658? -460684 In base 7, what is 103021600 + -2? 103021565 In base 15, what is 2 + -1d414cdc? -1d414cda In base 14, what is -645b90 + -3? -645b93 In base 9, what is 12 + -8134410? -8134387 In base 14, what is 5291c - 172? 5278a In base 13, what is 17 - -2615bab? 2615bc5 In base 3, what is 110101 + -20121201101? -20121021000 In base 14, what is 7 + 250a073? 250a07a In base 4, what is -32311230 + -100? -32311330 In base 9, what is -184653 - 342? -185105 In base 15, what is da + -b632d? -b6243 In base 5, what is -210 + 110040124? 110034414 In base 12, what is a5608 + -35? a5593 In base 7, what is 525 + 2122323? 2123151 In base 3, what is -10 - 111012111202220121? -111012111202220201 In base 15, what is -459 - -3820? 33b6 In base 10, what is 4401289 - 4? 4401285 In base 11, what is -1 + 32325699? 32325698 In base 3, what is 1011102 - 20002122011? -20001110202 In base 4, what is 2323 + 13303000? 13311323 In base 14, what is 242 - 837? -5d5 In base 15, what is -2c9b17 - -1? -2c9b16 In base 16, what is 46 + -10640? -105fa In base 15, what is -15a4878 - -6? -15a4872 In base 5, what is -13243010242 + -4? -13243010301 In base 6, what is 3 - 1104440200? -1104440153 In base 13, what is -19001b7 - -21? -1900196 In base 8, what is -317122 + -154? -317276 In base 15, what is -387 + 3b64? 37cc In base 5, what is 213 + -21213332133? -21213331420 In base 15, what is -d45e6 + -46e? -d4a65 In base 3, what is 1101 + -20200012100? -20200010222 In base 11, what is -29 - -810aa1? 810a73 In base 16, what is 20b4574 + 4? 20b4578 In base 3, what is 20200010000222 + 1212? 20200010002211 In base 4, what is 1232120302010 + -3? 1232120302001 In base 16, what is -2495 - -1c9? -22cc In base 3, what is -2002020001122201200 + 12? -2002020001122201111 In base 14, what is 1729c76 + -9? 1729c6b In base 6, what is -351 + -50243102? -50243453 In base 13, what is -c988 - -72? -c916 In base 14, what is d57b1 + 217? d59c8 In base 11, what is -62584798 + 7? -62584791 In base 15, what is 3d2 + -35b6? -31d4 In base 4, what is -101321 - 112312113? -113020100 In base 4, what is 11 + 2023223301? 2023223312 In base 11, what is 0 + 673996? 673996 In base 16, what is -4 - 2219? -221d In base 10, what is 5919 + 694? 6613 In base 13, what is -72aa + 283? -7027 In base 6, what is 13435254 + -1115? 13434135 In base 12, what is -3a68 - -a004? 6158 In base 16, what is e497 + 325? e7bc In base 5, what is 22123 - 2443331? -2421203 In base 6, what is -15043554 + -4? -15044002 In base 5, what is 112 + 104330? 104442 In base 10, what is -5 + -14722152? -14722157 In base 14, what is 3202d - -192? 321c1 In base 10, what is -242461 + 793? -241668 In base 9, what is -2426 + 660531? 657104 In base 4, what is -333130330122 - -323? -333130323133 In base 8, what is 3 + -1375532? -1375527 In base 6, what is -2 - 45503145? -45503151 In base 7, what is 2515365002 - 3? 2515364666 In base 9, what is 4 + -215210777? -215210773 In base 10, what is -10331680 - -4? -10331676 In base 4, what is 301 - 211103031332? -211103031031 In base 4, what is -111222 - -10113032? 10001210 In base 16, what is b + 1d8d32? 1d8d3d In base 14, what is 3 + 6c8c14? 6c8c17 In base 12, what is 41 + 9542? 9583 In base 6, what is -555431 + -2104? -1001535 In base 10, what is 1890 + -150671? -148781 In base 4, what is -3122 - -1333113103? 1333103321 In base 2, what is -1101111000010010001001011 + -10? -1101111000010010001001101 In base 5, what is 20 - 31320440413? -31320440343 In base 15, what is 0 - -974a3? 974a3 In base 9, what is -1 - 212821? -212822 In base 5, what is 4 - 103100020? -103100011 In base 2, what is -11101101101100011 - -1111000111? -11101011110011100 In base 6, what is -10550214 - -20? -10550154 In base 8, what is -751 + 12400? 11427 In base 4, what is -10302 - 1012001? -1022303 In base 12, what is -779325 - -4? -779321 In base 9, what is 10 + 287283? 287303 In base 4, what is 3331330011 + 13? 3331330030 In base 15, what is -2259 - 2dd? -2547 In base 4, what is 312301120 - 213? 312300301 In base 15, what is -151390b - 3? -151390e In base 12, what is 185a + -5bb0? -4352 In base 11, what is -55a + -938158? -938707 In base 12, what is 59 - -396903? 396960 In base 15, what is -1ded7a + -5? -1ded80 In base 16, what is 45052b - -d? 450538 In base 4, what is -2 - 23231232203? -23231232211 In base 12, what is 39153a + -5? 391535 In base 3, what is 22122100021 + -100? 22122022221 In base 9, what is -24522680 + -3? -24522683 In base 10, what is 1323729 - 47? 1323682 In base 9, what is -1 + 12738714? 12738713 In base 9, what is 8110 + -303? 7706 In base 11, what is -2 - 1a73a90? -1a73a92 In base 7, what is -304 - 346? -653 In base 16, what is 5d4 + 1ade5? 1b3b9 In base 13, what is -27b06b5 + -2? -27b06b7 In base 4, what is 0 - -213032010331? 213032010331 In base 6, what is -1222 + -2330121? -2331343 In base 3, what is 1120120010222 - -121210? 1120120202202 In base 4, what is -130013 - -21333111? 21203032 In base 16, what is 164 - 7e30a? -7e1a6 In base 5, what is -1340 - -341242130? 341240240 In base 16, what is -12b + ed61? ec36 In base 7, what is -3616354 - 155? -3616542 In base 7, what is 52 + 1325554? 1325636 In base 11, what is -5 + 4aaa692? 4aaa688 In base 13, what is 13333 - -c449? 2277c In base 12, what is -1a5 + 41a05? 41820 In base 3, what is 1021102112222201012 - -1? 1021102112222201020 In base 16, what is 4 - -619e2e? 619e32 In base 8, what is -17153 - 4475? -23650 In base 6, what is -1 - 1021225522? -1021225523 In base 10, what is 80581 - 328? 80253 In base 7, what is 251322106 + 22? 251322131 In base 3, what is -112012221100221112 - 10? -112012221100221122 In base 10, what is -174 - 6628? -6802 In base 14, what is -a + 37ac481? 37ac475 In base 2, what is -111010100011111001000 + -11010? -111010100011111100010 In base 15, what is -1d9 - e3aa3? -e3c8c In base 12, what is 832 - -5808? 643a In base 16, what is -1 - -901e09? 901e08 In base 14, what is 5 - -4061c909? 4061c910 In base 16, what is 3 - 46e30? -46e2d In base 10, what is -281 - -106672? 106391 In base 6, what is -551 + -133111031? -133112022 In base 12, what is -2728a2 - 8? -2728aa In base 15, what is -9 + 9c2bc8? 9c2bbe In base 13, what is 3 - 1c9b4bb? -1c9b4b8 In base 15, what is -5173 - -15? -515d In base 8, what is -55 + -763511? -763566 In base 13, what is 1 - 10033? -10032 In base 7, what is 2 + -153520542? -153520540 In base 4, what is 331212 + 2213020? 3210232 In base 13, what is 0 + -16bb3c5? -16bb3c5 In base 7, what is 34362461563 - 0? 34362461563 In base 15, what is 968e + -188? 9506 In base 3, what is 22022220 + 0? 22022220 In base 15, what is a06d3a + 2? a06d3c In base 9, what is -428170 - -402? -427667 In base 12, what is 18681 - 41a? 18263 In base 4, what is 12 + -23232310300? -23232310222 In base 7, what is -56 + -36265? -36354 In base 4, what is -13202 - 33013202? -33033010 In base 13, what is -117 + -3254? -336b In base 9, what is 7 - -82762? 82770 In base 10, what is 286605458 + 0? 286605458 In base 11, what is 3a90 - -1a199? 23179 In base 14, what is 20 - -373c51? 373c71 In base 15, what is 283636 + e?
{ "pile_set_name": "DM Mathematics" }
.38 Round 0.00000012 to 7 decimal places. 0.0000001 What is -4.69 rounded to the nearest integer? -5 What is -0.000011296 rounded to 6 decimal places? -0.000011 What is 2100700 rounded to the nearest ten thousand? 2100000 What is 0.1451 rounded to one dp? 0.1 What is 0.32294 rounded to three decimal places? 0.323 Round 0.00003315 to 5 dps. 0.00003 Round -0.000030496 to 5 dps. -0.00003 Round -0.0032731 to four dps. -0.0033 Round 2855000 to the nearest one million. 3000000 Round -0.323926 to one dp. -0.3 Round 0.1361 to 3 decimal places. 0.136 What is -3730 rounded to the nearest 100? -3700 Round 0.0000736 to five decimal places. 0.00007 Round -117.49 to zero decimal places. -117 Round 0.000375155 to six decimal places. 0.000375 What is 0.000134271 rounded to five dps? 0.00013 What is -0.025958 rounded to four decimal places? -0.026 Round -0.000039398 to five dps. -0.00004 Round -71.301 to 1 decimal place. -71.3 Round -718500 to the nearest 100000. -700000 Round 165190 to the nearest 10000. 170000 What is -0.004898 rounded to 5 dps? -0.0049 Round 0.02294 to 3 decimal places. 0.023 Round 261.9 to the nearest 100. 300 Round -0.0001809 to five dps. -0.00018 Round -0.00133402 to 5 dps. -0.00133 Round 0.236893 to 3 decimal places. 0.237 What is 8.538 rounded to zero dps? 9 What is 1.12697 rounded to 1 decimal place? 1.1 Round 58.932 to zero decimal places. 59 Round -1712050 to the nearest 100000. -1700000 Round -0.000000393 to 7 dps. -0.0000004 Round -301.3 to the nearest 10. -300 Round -0.0018 to three decimal places. -0.002 Round 168.8 to the nearest one hundred. 200 What is -29284 rounded to the nearest one thousand? -29000 Round -0.534 to one decimal place. -0.5 What is -0.000022778 rounded to 7 dps? -0.0000228 What is 12.9323 rounded to one decimal place? 12.9 What is 20300 rounded to the nearest 1000? 20000 Round 1120660 to the nearest one hundred thousand. 1100000 Round -6.512 to one dp. -6.5 Round 172 to the nearest ten. 170 Round 1940 to the nearest one thousand. 2000 What is 0.029 rounded to 2 dps? 0.03 What is -279500 rounded to the nearest one thousand? -280000 What is -1113.33 rounded to the nearest one hundred? -1100 What is -94920 rounded to the nearest 10000? -90000 Round 25.64 to the nearest integer. 26 Round -282620000 to the nearest 1000000. -283000000 What is -0.044136 rounded to two dps? -0.04 Round -0.001743 to 5 dps. -0.00174 What is 3.61 rounded to 1 decimal place? 3.6 Round -0.000067241 to 6 dps. -0.000067 Round -0.0442268 to 2 decimal places. -0.04 What is 24.12 rounded to the nearest integer? 24 Round 9165000 to the nearest one hundred thousand. 9200000 What is 0.00000021406 rounded to 7 decimal places? 0.0000002 Round 0.0001234 to five decimal places. 0.00012 Round -0.0059364 to 5 dps. -0.00594 Round 0.001256 to four decimal places. 0.0013 Round 0.396 to 2 decimal places. 0.4 Round 16540 to the nearest 1000. 17000 What is 42.701 rounded to 1 dp? 42.7 Round 1116870 to the nearest 100000. 1100000 What is -68.995 rounded to zero decimal places? -69 What is 1.58 rounded to 1 decimal place? 1.6 Round 4989 to the nearest one hundred. 5000 What is 103.301 rounded to zero decimal places? 103 Round 0.00086 to 4 decimal places. 0.0009 Round -0.6385 to one decimal place. -0.6 What is -0.0118471 rounded to 3 dps? -0.012 Round -0.00016 to 5 dps. -0.00016 What is -0.0000378 rounded to 5 dps? -0.00004 Round -0.000062377 to 6 decimal places. -0.000062 What is 0.5592 rounded to one dp? 0.6 What is 0.0014532 rounded to 3 dps? 0.001 What is -415050 rounded to the nearest 100000? -400000 What is -49.15 rounded to 0 decimal places? -49 What is 631 rounded to the nearest one hundred? 600 What is 0.0002711 rounded to five dps? 0.00027 What is -34301000 rounded to the nearest one million? -34000000 Round -0.0016056 to 4 decimal places. -0.0016 What is 0.000023999 rounded to seven dps? 0.000024 Round 0.000295 to four decimal places. 0.0003 Round 13.33 to 1 dp. 13.3 Round 445.93 to the nearest ten. 450 Round -0.000923 to four dps. -0.0009 What is -0.000005698 rounded to 7 decimal places? -0.0000057 What is -2174.85 rounded to the nearest 100? -2200 Round -0.0000047 to seven dps. -0.0000047 What is 1268.3 rounded to the nearest ten? 1270 What is 53260 rounded to the nearest one thousand? 53000 What is 0.000000535 rounded to 7 dps? 0.0000005 What is 65700 rounded to the nearest one thousand? 66000 What is 0.0000029787 rounded to six decimal places? 0.000003 Round -0.7873 to 2 decimal places. -0.79 Round -5609 to the nearest one thousand. -6000 What is -0.00001301 rounded to five dps? -0.00001 Round 35281000 to the nearest 1000000. 35000000 Round 0.00000644313 to 6 decimal places. 0.000006 Round 1.8755 to 1 decimal place. 1.9 Round -38900 to the nearest 10000. -40000 Round 733450000 to the nearest one million. 733000000 Round 0.0002629 to five decimal places. 0.00026 Round 0.00019397 to six decimal places. 0.000194 Round 83.33 to the nearest integer. 83 What is 0.10186 rounded to 3 dps? 0.102 What is 1000000 rounded to the nearest one hundred thousand? 1000000 What is -55.035 rounded to the nearest integer? -55 Round -51267000 to the nearest one million. -51000000 Round -0.2512 to three decimal places. -0.251 What is -211000 rounded to the nearest 100000? -200000 What is -0.117625 rounded to two dps? -0.12 Round 98380 to the nearest one thousand. 98000 Round -0.0051727 to 4 dps. -0.0052 What is -3949000 rounded to the nearest 100000? -3900000 Round 0.983 to 1 decimal place. 1 Round 251 to the nearest 100. 300 What is 0.000004427 rounded to 6 dps? 0.000004 What is 210 rounded to the nearest integer? 210 What is 6795000 rounded to the nearest 1000000? 7000000 Round 729200 to the nearest ten thousand. 730000 Round 0.0003007 to 5 dps. 0.0003 What is -0.000004772 rounded to seven dps? -0.0000048 Round -0.000069619 to 7 dps. -0.0000696 What is -0.00000921 rounded to 6 decimal places? -0.000009 Round 1936400 to the nearest ten thousand. 1940000 What is -0.011102 rounded to four dps? -0.0111 Round -6318 to the nearest 10000. -10000 What is -4390000 rounded to the nearest one million? -4000000 Round -8179900 to the nearest one million. -8000000 What is 171.4 rounded to 0 decimal places? 171 Round -0.000295832 to six decimal places. -0.000296 Round 848700 to the nearest 10000. 850000 What is -185000 rounded to the nearest one hundred thousand? -200000 What is 0.13253 rounded to 2 dps? 0.13 Round -0.0002369 to four decimal places. -0.0002 Round 282 to the nearest one hundred. 300 Round -585060 to the nearest 100000. -600000 Round 0.000010409 to five dps. 0.00001 What is -0.000005797 rounded to six decimal places? -0.000006 Round -1029.78 to the nearest 100. -1000 Round 1.4524 to the nearest integer. 1 Round -0.000002982 to 7 decimal places. -0.000003 Round 351170 to the nearest one thousand. 351000 What is -79260 rounded to the nearest one thousand? -79000 What is 81.79 rounded to 0 dps? 82 What is 3492000 rounded to the nearest one hundred thousand? 3500000 What is 0.0033516 rounded to 5 dps? 0.00335 What is -0.083246 rounded to three decimal places? -0.083 What is -16.304 rounded to one decimal place? -16.3 Round 17622 to the nearest one thousand. 18000 Round -0.0000044799 to 7 decimal places. -0.0000045 What is 0.0116298 rounded to 5 dps? 0.01163 Round -0.18519 to three decimal places. -0.185 What is 2057.17 rounded to the nearest one hundred? 2100 Round -5449.1 to the nearest one hundred. -5400 What is -0.61868 rounded to two decimal places? -0.62 What is -621.11 rounded to zero dps? -621 What is 3040 rounded to the nearest one hundred? 3000 What is 0.000001008 rounded to 7 decimal places? 0.000001 Round 15.46 to zero dps. 15 Round 0.0118802 to four dps. 0.0119 Round 0.00000073469 to 7 dps. 0.0000007 Round -0.0006463 to 5 dps. -0.00065 Round -111070000 to the nearest 1000000. -111000000 What is -0.089613 rounded to two dps? -0.09 Round -561000 to the nearest 100000. -600000 Round 0.0000019731 to six dps. 0.000002 Round 145500 to the nearest 10000. 150000 What is 30.8314 rounded to 1 dp? 30.8 What is 6771.3 rounded to the nearest one thousand? 7000 Round -0.00007376 to 5 decimal places. -0.00007 Round -918 to the nearest 10. -920 Round -474460 to the nea
{ "pile_set_name": "DM Mathematics" }
-3*b**3 - 6*b**2 + b + 44 What is the o'th term of -16052, -32116, -48194, -64292, -80416, -96572, -112766? -o**3 - o**2 - 16054*o + 4 What is the r'th term of -441, -753, -1041, -1305, -1545? 12*r**2 - 348*r - 105 What is the y'th term of 19859, 79437, 178733, 317747, 496479, 714929? 19859*y**2 + y - 1 What is the y'th term of 75409, 75469, 75529, 75589? 60*y + 75349 What is the q'th term of -1012, -1024, -1046, -1084, -1144, -1232, -1354, -1516? -q**3 + q**2 - 8*q - 1004 What is the o'th term of -1856, -1954, -2068, -2204, -2368? -o**3 - 2*o**2 - 85*o - 1768 What is the r'th term of 3570, 14375, 32392, 57627, 90086, 129775, 176700, 230867? r**3 + 3600*r**2 - 2*r - 29 What is the n'th term of 73, 194, 365, 562, 761, 938, 1069? -4*n**3 + 49*n**2 + 2*n + 26 What is the p'th term of -1439, -619, 747, 2659? 273*p**2 + p - 1713 What is the g'th term of -214724, -429444, -644158, -858866, -1073568, -1288264? 3*g**2 - 214729*g + 2 What is the m'th term of 10414, 10411, 10408? -3*m + 10417 What is the f'th term of 79, 271, 549, 907, 1339, 1839, 2401? -f**3 + 49*f**2 + 52*f - 21 What is the q'th term of -2445, -4953, -7461, -9969, -12477? -2508*q + 63 What is the u'th term of -188, -655, -1402, -2429? -140*u**2 - 47*u - 1 What is the r'th term of -37, 57, 143, 215, 267? -r**3 + 2*r**2 + 95*r - 133 What is the c'th term of -61953, -123899, -185845, -247791? -61946*c - 7 What is the u'th term of 137, 215, 317, 455, 641, 887, 1205, 1607? 2*u**3 + 64*u + 71 What is the t'th term of -1911, -1191, -471? 720*t - 2631 What is the y'th term of 43606, 87210, 130814, 174418, 218022? 43604*y + 2 What is the t'th term of -9046, -9064, -9086, -9106, -9118, -9116? t**3 - 8*t**2 - t - 9038 What is the u'th term of -123, -457, -1007, -1767, -2731? u**3 - 114*u**2 + u - 11 What is the w'th term of 88, 478, 1166, 2152, 3436, 5018? 149*w**2 - 57*w - 4 What is the v'th term of 1264, 2293, 3310, 4315, 5308, 6289? -6*v**2 + 1047*v + 223 What is the b'th term of 252, 1007, 2266, 4029, 6296, 9067, 12342? 252*b**2 - b + 1 What is the v'th term of -1002959, -2005918, -3008877? -1002959*v What is the m'th term of -1601, -6385, -14357, -25517, -39865, -57401? -1594*m**2 - 2*m - 5 What is the t'th term of 23, -126, -553, -1396, -2793, -4882? -23*t**3 - t**2 + 15*t + 32 What is the l'th term of -60, -217, -472, -825, -1276? -49*l**2 - 10*l - 1 What is the v'th term of 3981, 3990, 3999, 4002, 3993? -v**3 + 6*v**2 - 2*v + 3978 What is the s'th term of -1982, -1977, -1972, -1967? 5*s - 1987 What is the w'th term of 91135, 182281, 273439, 364615, 455815, 547045? w**3 + 91139*w - 5 What is the d'th term of 138, 119, 106, 105, 122, 163, 234, 341? d**3 - 3*d**2 - 17*d + 157 What is the k'th term of 761, 687, 613, 539? -74*k + 835 What is the g'th term of -40312, -40330, -40380, -40480, -40648, -40902, -41260, -41740? -3*g**3 + 2*g**2 - 3*g - 40308 What is the m'th term of 68, -14, -144, -316, -524, -762, -1024, -1304? m**3 - 30*m**2 + m + 96 What is the v'th term of -5491, -10994, -16495, -21994, -27491, -32986, -38479? v**2 - 5506*v + 14 What is the d'th term of 342, 352, 448, 696, 1162? 11*d**3 - 23*d**2 + 2*d + 352 What is the z'th term of -843, -1531, -2219? -688*z - 155 What is the o'th term of 224, -326, -1244, -2530, -4184? -184*o**2 + 2*o + 406 What is the z'th term of 15470, 30931, 46392? 15461*z + 9 What is the s'th term of 176, 134, 60, -52, -208, -414, -676? -s**3 - 10*s**2 - 5*s + 192 What is the b'th term of 15545, 31087, 46643, 62219, 77821, 93455? b**3 + b**2 + 15532*b + 11 What is the i'th term of 2381, 4538, 6697, 8858, 11021, 13186? i**2 + 2154*i + 226 What is the o'th term of 10577, 10642, 10829, 11198, 11809? 10*o**3 + o**2 - 8*o + 10574 What is the h'th term of 2500, 4974, 7448, 9922, 12396, 14870? 2474*h + 26 What is the m'th term of -7548, -15097, -22646, -30195, -37744? -7549*m + 1 What is the y'th term of -1786170, -1786166, -1786160, -1786152, -1786142, -1786130, -1786116? y**2 + y - 1786172 What is the h'th term of -71, -259, -665, -1397, -2563, -4271? -18*h**3 - h**2 - 59*h + 7 What is the n'th term of -123, -270, -465, -732, -1095, -1578? -4*n**3 - 119*n What is the b'th term of -277811, -277813, -277815, -277817? -2*b - 277809 What is the u'th term of 497, 369, 241, 113, -15, -143? -128*u + 625 What is the z'th term of 481, 658, 837, 1018, 1201, 1386, 1573? z**2 + 174*z + 306 What is the a'th term of -340, -689, -1038? -349*a + 9 What is the i'th term of 97, 200, 287, 346, 365? -2*i**3 + 4*i**2 + 105*i - 10 What is the f'th term of 2902, 5888, 8874? 2986*f - 84 What is the b'th term of 5095, 5102, 5109, 5116? 7*b + 5088 What is the b'th term of -3540, -14347, -32360, -57579, -90004, -129635, -176472? -3603*b**2 + 2*b + 61 What is the r'th term of 3330, 3315, 3300? -15*r + 3345 What is the b'th term of -40949, -40945, -40941, -40937, -40933? 4*b - 40953 What is the i'th term of -942, -1867, -2792, -3717? -925*i - 17 What is the g'th term of 31, -132, -403, -782? -54*g**2 - g + 86 What is the t'th term of 5547, 5525, 5535, 5589, 5699? 2*t**3 + 4*t**2 - 48*t + 5589 What is the k'th term of -296435, -592874, -889311, -1185746? k**2 - 296442*k + 6 What is the t'th term of -44747, -44765, -44783? -18*t - 44729 What is the a'th term of -356, -577, -798? -221*a - 135 What is the i'th term of 84398, 84359, 84320? -39*i + 84437 What is the l'th term of -34659, -34660, -34661, -34662, -34663? -l - 34658 What is the z'th term of 1377, 5221, 11627, 20595, 32125, 46217, 62871? 1281*z**2 + z + 95 What is the w'th term of 214, 354, 494, 634, 774? 140*w + 74 What is the x'th term of -6994, -7025, -7056, -7087, -7118? -31*x - 6963 What is the o'th term of 537, 471, 387, 291, 189, 87, -9? o**3 - 15*o**2 - 28*o + 579 What is the p'th term of 27, 69, 101, 117, 111, 77, 9? -p**3 + p**2 + 46*p - 19 What is the b'th term of 789, 2897, 6381, 11247, 17501, 25149? b**3 + 682*b**2 + 55*b + 51 What is the z'th term of -155, -1426, -4907, -11702, -22915, -39650? -184*z**3 - z**2 + 20*z + 10 What is the d'th term of 39797, 79589, 119381, 159173? 39792*d + 5 What is the a'th term of -11412, -22866, -34320, -45774, -57228? -11454*a + 42 What is the p'th term of -480, -1019, -1560, -2103, -2648, -3195, -3744? -p**2 - 536*p + 57 What is the a'th term of -36155, -36150, -36145, -36140, -36135? 5*a - 36160 What is the d'th term of -55818, -55826, -55836, -55848, -55862, -55878, -55896? -d**2 - 5*d - 55812 What is the v'th term of 16566, 16568, 16570, 16572? 2*v + 16564 What is the k'th term of -119258, -119264, -119274, -119288? -2*k**2 - 119256 What is the q'th term of -51, -103, -171, -261, -379, -531, -723, -961? -q**3 - 2*q**2 - 39*q - 9 What is the x'th term of -2378, -2332, -2286, -2240, -2194, -2148? 46*x - 2424 What is the b'th term of 2415, 2333, 2251, 2169, 2087, 2005? -82*b + 2497 What is the d'th term of -134973, -269962, -404951, -539940? -134989*d + 16 What is the t'th term of 295, 280, 241, 166, 43? -2*t**3 - t + 298 What is the a'th term of 2828, 2135, 986, -613, -2656? a**3 - 234*a**2 + 2*a + 3059 What is the b'th term of -154, -337, -508, -661, -790, -889? b**3 - 190*b + 35 What is the l'th term of 5, 48, 119, 218, 345, 500, 683? 14*l**2 + l - 10 What is the a'th term of -194, -1577, -5346, -12695, -24818, -42909? -199*a**3 + a**2 + 7*a - 3 What is the q'th term of 82, 121, 156, 187, 214, 237? -2*q**2 + 45*q + 39 What is the o'th term of -954, -1912, -2884, -3876, -4894, -5944, -7032? -o**3 - o**2 - 948*o - 4 What is the b'th term of 139, 349, 695, 1177, 1795? 68*b**2 + 6*b + 65 What is the i'th term of 13441, 26886, 40345, 53824, 67329, 80866, 94441, 108060? i**3 + i**2 + 13435*i + 4 What is the y'th term of 8288, 7888, 7488, 7088? -400*y + 8688 What is the m'th term of -22632, -90460, -203518, -361812, -565348? -m**3 - 22609*m**2 + 6*m - 28 What is the f'th term of 6565, 26262, 59087, 105040, 164121, 236330, 321667? 6564*f**2 + 5*f - 4 What is the i'th term of 352, 605, 728, 655, 320, -343? -11*i**3 + i**2 + 327*i + 35 What is the u'th term of -2771, -3325, -3883, -4445, -5011? -2*u**2 - 548*u - 2221 What is the d'th term of -66, -255, -556, -969, -1494, -2131? -56*d**2 - 21*d + 11 What is the x'th term of -164, -361, -584, -833, -1108, -1409? -13*x**2 - 158*x + 7 What
{ "pile_set_name": "DM Mathematics" }
Which is greater: b or z? z Let a be 60*((-10)/(-5))/((-12)/3). Let x be (-29)/116 - (-3190)/(-104). Which is greater: x or a? a Let t = -10 + 5. Let k = 206 + -100. Let h = -106.3 + k. Which is smaller: t or h? t Let x = -194.408 - -186.63. Is x smaller than -1? True Let b = 218 - 202. Suppose -b*n - n = 102. Is -7 > n? False Let n = -14310 + 99717/7. Which is smaller: n or -64? n Let a(c) = -c**3 - 6*c**2 - 8*c - 11. Let d be a(-5). Let p(j) = 69*j - 22. Let i be p(d). Let y be 4 + i/(-10) + (-2)/(-5). Which is bigger: -20 or y? -20 Let c(x) = 2*x**3 - 24*x**2 - 3*x - 71. Let q be c(-12). Is -6945 greater than or equal to q? True Let k = -93.852 + -0.148. Let l = k - -93.499. Let q = -0.001 - l. Which is bigger: 0.1 or q? q Let i(w) = -3*w**3 + 22*w**2 - 20*w + 100. Let h be i(7). Which is smaller: 326 or h? h Suppose 808 = 5*u - 3*t, -u + 5*t = -2*u + 184. Suppose 0 = -50*d + 48*d - u. Which is greater: d or -84? d Let f be (0 + 779)/((-465)/31*2/3). Are f and -79 unequal? True Let p be (-129599)/2541630 + 16/312. Which is greater: 0 or p? p Let n be -9 - (-9 - (-48)/3304). Is 1 at least n? True Let l be 5/6*3/(-10). Let j be ((0 - -2) + -6 + 4)*1. Suppose -6*w = -j*w. Is w at least l? True Let i = -126622919/56672 + -267/5152. Let s = -2237 - i. Is s at most as big as -2? True Let m(l) = 4*l**2 - 21*l - 75. Let k be m(-4). Which is bigger: k or 84? 84 Suppose 13*r - 43 = -472. Let g be (10/55 - (-2316)/r) + 0. Let j(u) = -u**3 - 7*u**2 + 7*u + 9. Let k be j(-6). Is g smaller than k? True Let h = 350 - 122. Suppose 4*z + h = -56. Let o = z + 90. Is 18 greater than o? False Let v = 72 - 71.828. Let i = 0.398 - v. Let w = i - -0.014. Which is greater: 0 or w? w Let t be (-1 + 16)*(6 - 935/154). Let v = 0 - 0. Is v bigger than t? True Let x = -273 + 1546. Let o = x + -148942/117. Which is bigger: 1 or o? 1 Let q = 3506 - -3379. Is 2 at most q? True Let j = -42 + 55. Suppose j*a = 1464 - 385. Suppose a = -2*v + 57. Which is smaller: -1 or v? v Let c = -12462 - -62820940/5041. Which is greater: c or -1? c Suppose 0 = -2*h + 10, -5*y = 3*h - 4*h - 30. Let u = -84 - -84.041. Let m = u + -1.041. Which is bigger: m or y? y Suppose 236 = -2*n + 3*n. Let k(m) = 12*m - 113. Let z be k(29). Which is bigger: z or n? n Let l = 27 - 106. Let h = 142 + l. Do h and 63 have the same value? True Let a(d) = d**2 - 50*d - 3194. Let q be a(-37). Which is bigger: -1/65 or q? q Let v(r) = r**2 - 2*r + 2. Let t be v(1). Let y be ((-356)/(-116) - t) + -2. Let q(m) = -6*m + 126. Let h be q(21). Is y smaller than h? False Suppose 29*l + 52240 - 8554 = -25*l. Is -810 less than l? True Let y = -17168.8 + 17169. Which is smaller: 0.06023 or y? 0.06023 Let u be (5824/624)/(4/(-15)). Suppose 0 = -6*a + a - 165. Is a less than or equal to u? False Let c = -0.30449 + 723.35449. Let l = 652 - c. Let r = l + 71. Which is smaller: r or 0? r Let k be (4/(-14))/(12/(-591696)*12). Are 1173 and k nonequal? True Let q = -20030 - -99686/5. Is -94 bigger than q? False Let m = 97.2 + -10.2. Let v = m + -87.188. Which is greater: v or 0? 0 Let u(x) = -12*x**2 + 29*x + 4. Let p(f) = 19*f**2 - 44*f - 6. Let w(m) = 5*p(m) + 8*u(m). Let z be w(11). Is 13 less than z? False Suppose 79*o = 80*o + 6, -3*v - 4*o = -69786. Is 23269 bigger than v? False Let t(w) = -w**2 + w + 62. Suppose -16 = 4*i, -4*i = 3*o + 11 - 13. Let k be t(o). Is k at most as big as 31? False Suppose 4*k = -526*i + 527*i - 175, 0 = -3*i - 3*k + 405. Which is bigger: i or 124? i Suppose -4*g = 0, -5*m = -2*m - m + 5*g + 110. Which is smaller: m or -37? m Let f = -797279807341/2001 - -1195381693/3. Let z = -19881 + f. Let r = z - -1223/24679. Does r = 2? False Let a(m) be the third derivative of m**4/12 + 4*m**3 - 2*m**2. Suppose -126 = 9*s - 36. Let x be a(s). Which is bigger: 5 or x? 5 Let m be (9 - -6) + 41209/(-1225). Which is smaller: m or -19? -19 Let o = -1.1028 - -1.5028. Is o greater than or equal to 0.095? True Let x = 11324 - 8024. Is x at least as big as 0.1? True Let y = 28.8 - 3. Let b = 46.6 - y. Let q = -21 + b. Which is smaller: -5 or q? -5 Let y(r) = 25*r**2 - 149*r - 6. Let g be y(6). Is -1/22 at most g? True Let o(b) = 1. Let m(w) = -w - 11. Suppose -4*l - 5*s - 33 = 0, 3*l + s + 3 + 8 = 0. Let h(x) = l*o(x) - m(x). Let f be h(-10). Is f < -1? False Suppose -2*a - 2 = 2*v, -169*a - 1 = -168*a + 2*v. Is a > -16/499? False Let d(m) = -5*m**2 + 19*m - 95. Let x be d(10). Let r = -406 - x. Is r at least 6/97? False Let s(l) = -24*l**2 + 10*l - 21. Let x be s(3). Let n be ((-6)/(-5))/(x/7590). Is n > -50? True Suppose -2*u - 6 + 34 = 0. Suppose 4*r - u*y + 356 = -16*y, 4*y + 16 = 0. Let f = 103 - 191. Which is smaller: f or r? f Let c = 5420 - 4771. Is 641 at most as big as c? True Let x be 6/(-15) - 4852/20. Let i be 4 + x*(-4)/(-244). Let c be 1/2 - 3/(-6). Are c and i equal? False Let h = -24930.958 - -24955. Let p = h - 0.042. Let a = p + -25.1. Is -1/6 not equal to a? True Let v be (-2*3)/(13/(-1079)*(-14)/(-49)). Which is smaller: 1745 or v? v Let a = 11808 - 11925. Let r = 0.07 + 0.93. Which is greater: r or a? r Let s(p) = -p - 2. Let u be s(-8). Let o be 3/6*(-638)/u. Let x = o - -53. Is -1 at most x? True Let p(l) = 53*l + 168. Let u be p(-4). Let a be (-40)/u*-5 - 8/(-2). Which is smaller: 15 or a? a Let q = -7930 - -6914. Is q smaller than -1/4? True Let k be (1 + -2)/(1/3). Let n = -6702.6 + 6702. Is n equal to k? False Suppose 41*y = 42*y + 354. Is -355 at least y? False Let f be (-66)/(-77) + 1516/28. Suppose -3*a + f = 3*i - 35, 0 = a + 5*i - 14. Suppose 3*h - 50 = 52. Is a greater than h? False Let d = 913 + -540. Let v = 222 - d. Let a = 149 + v. Which is smaller: a or -1? a Suppose 4*b + 5*x - 20 = 9*b, -16 = b - 4*x. Suppose 4*h - 2*n + 59 = h, b = h + n + 18. Which is smaller: h or -22? -22 Let r = 7924 - 705245/89. Let i be (-4 - -3) + 1 + 1. Which is smaller: r or i? r Let r be ((-2)/(-6))/((-584)/195 - -3). Let l = r - 57. Suppose -y - 153 = l*y. Are y and 0.1 non-equal? True Let t(p) = 2*p**3 - 6*p**2 - 11*p + 19. Let c be t(8). Which is bigger: c or 573? 573 Let r = -7/30458 - 10509/219328058. Is -1/5 bigger than r? False Let k = 2351 - 3538. Are -1187 and k nonequal? False Let g(v) = -35*v + 395. Let y be g(12). Is y bigger than -53? True Let l(y) = 2*y - 23. Let f be l(14). Suppose n + 4 = 4*u, 0*u + 5 = f*n + 5*u. Which is bigger: n or -10/13? n Suppose -p = 4*r - 7 + 12, 4*p - 31 = r. Let w be 0 + 0 + p/(42/(-132)). Let h be -3 - 49/(-6)*(-8)/w. Is h less than or equal to 0? True Let b = -3.069 + -181.031. Let n = b + 192. Let j = n + -8. Which is bigger: j or 0.46? 0.46 Let m be ((-258)/15)/(-1*(-2)/(-10)). Let a be m/574 + (55/(-35))/11. Are -1 and a unequal? True Suppose 0 = 5*k - 10, -5*v - 4*k + 4 = -3*v. Let w be 1408/18 - v/(-9). Let h be (15 - 18)*((-4)/w + 0). Which is bigger: h or -0.1? h Let a = -1 - -18. Let v be (209/(-44) - -2)*-6. Is a greater than v? True Let r = -4820.8 - -4821. Which is smaller: r or 2461? r Let w = -36572/7 - -5236. Which is bigger: 11 or w? w Let g be (-8 + 7)*4 - 2*-4. Let v(b) = -b**2 - 2*b + 10. Let w be v(g). Which is smaller: -102/7 or w? -102/7 Let k = 45.1 + -44.8. Let h = 20 + -16. Let n = h + -3. Which is smaller: n or k? k Suppose 5*q = -a + 1377, 0 = q - 4*a - 206 - 82. Suppose b + q = 4*i, 3*i - 79 = -4*b + 147. Which is greater: 64 or i? i Let b = 9143 - 8762. Is b smaller than 378? False Let d = 629 - 630.036. Let g = d + 0.036. Which is bigger: g or -9/2? g Let c = 13.254 + -13.354. Let l = -1677853/281 - -5971. Which is smaller: c or l? c Suppose -3*n - 188 = -5*i - 16, 4*n + 4*i + 208 = 0. Let t = n - -65. Let a = t + 10. Is a at most 20? False Let o = -9582 + 9583. Which is smaller: -1/24378 or o? -1/24378 Suppose v + 3 = -2*v. Suppose 2*u + 3*k = 57, -8*u + 47*k + 123 = 44*k. Is v smaller than u? True Let j be -26 - (660/(-495) - (-1)/(3*1)). Let d(l) = -10*l + 4. Let z be 10/15*18/4. Let k be d(z). Which is smaller: k or j? k Let q(b) = -138*b + 1256. Let a be q(16). Which is smaller: a or -957? -957 Let k be (-6)/((-4)/(-8)*-2). Let z be (k + -6)/(-2 + 1). Let r be ((-52)/325)/((-8)/(-60)). Is z <= r? False Let w(m) = 4*m**2 - 64*m - 68. Let g be w(17). Which is bigger: g or -1/14790? g Let v = 944/233 - 403/12349. Whi
{ "pile_set_name": "DM Mathematics" }
-6, -2 Suppose -76*i + 50 = -29*i - 91. Suppose -8/3*w**i + 0 + 4/3*w**4 + 2/3*w**5 + 2*w - 4/3*w**2 = 0. Calculate w. -3, -1, 0, 1 Let v be (50/20)/(26/8). Let y = 8291 + -8287. Factor -v*t**2 - 16/13 - y*t + 6/13*t**3. 2*(t - 4)*(t + 2)*(3*t + 1)/13 Let m(p) be the second derivative of 0 + 1/21*p**3 - 5/84*p**4 + 0*p**2 + 85*p - 1/70*p**5 + 1/42*p**6. Let m(v) = 0. What is v? -1, 0, 2/5, 1 Let b(y) = -381*y**2 - 2433*y + 7284. Let h(t) = -163*t**2 - 1217*t + 3642. Let o(j) = 3*b(j) - 7*h(j). Factor o(i). -2*(i - 607)*(i - 3) Let z(f) = 65*f**4 + 66*f**3 + 6*f**2 + 5*f. Let n(d) = -33*d**4 - 33*d**3 - 2*d**2 - 2*d. Suppose 5*i - 6*i = 5. Let g(j) = i*n(j) - 2*z(j). Solve g(y) = 0. -1, 0, 2/35 Let f = 11699/13 + -899. Suppose -301 = -384*m + 674 - 207. Factor 0 + 2/13*j**3 - f*j - 2/13*j**m. 2*j*(j - 3)*(j + 2)/13 Let x(u) be the third derivative of u**6/24 - 67*u**5 + 67335*u**4/2 + 155*u**2 + 13. Factor x(d). 5*d*(d - 402)**2 Let a(g) = 10*g**3 + 44005*g**2 + 130714555*g + 128623127040. Let h(k) = k**3 - 55*k**2 - k. Let r(l) = -a(l) + 5*h(l). Suppose r(z) = 0. Calculate z. -2952 Let w(u) be the first derivative of 105*u**4/4 + 745*u**3/3 + 350*u**2 + 60*u + 5856. Factor w(a). 5*(a + 1)*(a + 6)*(21*a + 2) Let w = -6398 + 6400. Let d(g) be the second derivative of -w*g**3 + 14*g + 0 + 6*g**2 + 1/4*g**4. Factor d(p). 3*(p - 2)**2 Let d(g) be the third derivative of -g**7/63 + 22*g**6/45 - 62*g**5/45 - 16*g**4/9 + 311*g**2 + 2. Find c, given that d(c) = 0. -2/5, 0, 2, 16 Let c(i) be the third derivative of 269*i**5/20 - 1347*i**4/40 + i**3/5 + 1519*i**2. What is f in c(f) = 0? 2/1345, 1 Let f(i) be the third derivative of -i**7/210 + i**6/90 + 28*i**5/15 + 24*i**4 + 247*i**3/6 - 92*i**2. Let m(v) be the first derivative of f(v). Factor m(n). -4*(n - 9)*(n + 4)**2 Let b(v) = 5*v**2 + 5*v - 20. Let a(t) = 9*t**2 + 10*t - 41. Let x(z) = -6*a(z) + 11*b(z). Let s be x(9). Solve 58*q**2 - s*q**2 + 19 - 3 = 0 for q. -2, 2 Suppose -52430*y = -52508*y + 156. Factor 2/7*m**y + 24/7 - 2*m. 2*(m - 4)*(m - 3)/7 Let t(w) be the second derivative of -w**7/147 + 11*w**6/105 - 9*w**5/35 - w**4/21 + 19*w**3/21 - 9*w**2/7 - 1144*w. Solve t(g) = 0 for g. -1, 1, 9 Let c(i) be the third derivative of -i**6/20 - 51*i**5/40 + 373*i**4/16 - 45*i**3/2 - 9399*i**2. Find b, given that c(b) = 0. -18, 1/4, 5 Let 62*a**3 - 132 + 76*a**2 + 13*a**3 + 72*a**2 - 72*a - 3*a**5 - 5*a**2 + 52*a**2 - 63*a**4 = 0. What is a? -22, -1, 1, 2 Let f(w) be the third derivative of 32*w - 35/8*w**4 + 0 - 115/3*w**3 + w**2 + 1/12*w**5. Suppose f(p) = 0. What is p? -2, 23 Let d(p) = -50*p**2 - 5662*p - 1325378. Let z(x) = 27*x**2 + 2832*x + 662688. Let r(l) = 6*d(l) + 11*z(l). Factor r(a). -3*(a + 470)**2 Factor 36*n**2 + 6*n**3 - 54 - 54*n - 3*n**4 + 46*n**3 + 4*n**4 + n**5 + 17*n**4 + n**5. 2*(n - 1)*(n + 1)*(n + 3)**3 Let m(s) be the third derivative of 0*s**4 + 0*s - 28*s**2 + 25/12*s**5 + 0*s**3 - 5/12*s**6 + 0 + 1/42*s**7. Solve m(c) = 0. 0, 5 Factor 0*p + 0 - 1/6*p**5 - 1/3*p**2 - 2/3*p**4 - 5/6*p**3. -p**2*(p + 1)**2*(p + 2)/6 Solve 441*w - 3*w**2 + 1123338 - 1123338 = 0. 0, 147 Let b(n) be the first derivative of n**7/980 + 5*n**6/504 - 5*n**5/168 + n**3/3 - 260. Let j(f) be the third derivative of b(f). What is s in j(s) = 0? -5, 0, 5/6 Let j(n) be the first derivative of 103/10*n**2 + 152/15*n**3 + 33 + 26/5*n + 22/25*n**5 - 1/30*n**6 + 49/10*n**4. What is g in j(g) = 0? -1, 26 Let n(m) be the first derivative of 7*m**5/5 + 29*m**4/2 + 100*m**3/3 + 12*m**2 - 502. Factor n(c). c*(c + 2)*(c + 6)*(7*c + 2) Let b(q) be the first derivative of 46/7*q**4 + 4/35*q**5 + 1924/21*q**3 + 2304/7*q - 2208/7*q**2 + 62. Factor b(o). 4*(o - 1)**2*(o + 24)**2/7 Let v = -5141/44 + 304343/308. Let i = 873 - v. Factor -2/7*f**4 + 16/7*f + 0*f**3 + i*f**2 + 6/7. -2*(f - 3)*(f + 1)**3/7 Suppose h - 26 = -14. Factor 3*q**3 + 6*q**3 + 3*q**5 + 0*q**3 - h*q**4. 3*q**3*(q - 3)*(q - 1) Let p be 30/5 - 66/(-6). Let s(d) = -8*d**2 - 152*d - 2450. Let b(g) = -23*g**2 - 454*g - 7350. Let f(o) = p*s(o) - 6*b(o). Suppose f(n) = 0. Calculate n. -35 Suppose -494*r + 493*r + 2 = 0. Let k(u) be the first derivative of -14 + u**r + 4*u + 1/12*u**3. Factor k(f). (f + 4)**2/4 Let r(m) be the third derivative of 3542126*m**7/15 - 827435*m**6/2 + 4696*m**5/5 - 2*m**4/3 + 14887*m**2. Suppose r(l) = 0. Calculate l. 0, 2/3521, 1 Let y(h) = -2*h**3 + h**2 + h + 2. Let u(q) = 7*q**3 + 220*q**2 - 443*q - 10. Let j(b) = u(b) + 5*y(b). Factor j(t). -3*t*(t - 73)*(t - 2) Let m(f) be the third derivative of -f**7/12600 - f**6/1800 + f**4/3 - 2*f**2 + f. Let a(z) be the second derivative of m(z). Solve a(c) = 0. -2, 0 Let g be (342/(-76))/((-1)/1). Let p(m) be the second derivative of g*m**3 + 243/4*m**2 + 1/8*m**4 + 0 + 3*m. What is t in p(t) = 0? -9 Let n(d) = d**3 - 7*d**2 + 7*d + 4. Let v be n(6). Let f = -5 + v. Suppose 12*i**3 - 10*i**4 - f*i**2 - 9*i + 2*i + 13*i**3 - 3*i = 0. What is i? -1/2, 0, 1, 2 Let h(p) = p**2 - 13*p + 4. Let r be h(13). Let k(z) = -z**3 - 7*z - 4. Let a(o) = 2*o**3 + 8*o + 5. Let w(x) = r*a(x) + 5*k(x). Factor w(d). 3*d*(d - 1)*(d + 1) Factor 2450 + 490*v + 22*v**2 + 2/7*v**3. 2*(v + 7)*(v + 35)**2/7 Let w(f) = 11*f - 39. Let r be w(4). Suppose 3*t - 6 = 4*v, 0*t + 2*t + 3*v - 4 = 0. Find l, given that 2*l**t - 25 - 2*l**4 + 25 + 2*l**r - 2*l**3 = 0. -1, 0, 1 Let t(m) = -m**2 + m + 1. Let w(b) = -4*b**2 + 6*b + 3. Let x = -216 + 213. Let z(q) = x*t(q) + w(q). Solve z(k) = 0. 0, 3 Factor 3*y**2 - 178 - 2921*y + y**2 - 6*y**2 + 3101*y. -2*(y - 89)*(y - 1) Let t(s) = -5*s**2 - 9*s - 8. Let m(j) = 4*j**2 + 9*j + 8. Let n = -113 - -69. Let b = n - -47. Let x(q) = b*t(q) + 4*m(q). Factor x(u). (u + 1)*(u + 8) Let m = 9034 - 8130599/900. Let y(r) be the third derivative of 11*r**2 + 0*r**3 - 1/90*r**5 + 0*r + 1/45*r**4 + m*r**6 + 0. Find c, given that y(c) = 0. 0, 1, 4 Let y(h) = -3*h**3 + 36*h**2 + 3*h + 12. Let d(i) = i**3 - 2*i**2 - 1. Suppose 3*z + 40 - 1 = -4*c, 0 = -3*c + z - 39. Let x(b) = c*d(b) - y(b). Factor x(w). -3*w*(w + 1)*(3*w + 1) Suppose -51 = 5*w - 61. Suppose 20*n - 26*n**w - 24 + 2 + 28*n**2 = 0. Calculate n. -11, 1 Let t(a) be the first derivative of -a**4/6 + 220*a**3/63 + 284*a**2/21 + 48*a/7 + 6056. What is v in t(v) = 0? -2, -2/7, 18 Factor 44900*o - 89797*o - 3*o**2 + 44873*o - 36. -3*(o + 2)*(o + 6) Let h = 85290 - 85288. Factor 5/4*i**h + i + 1/4 + 1/2*i**3. (i + 1)**2*(2*i + 1)/4 Suppose 14*v + 931 = 3*v + 964. Let s(a) be the second derivative of 0 + a**v - 1/4*a**4 + 26*a + 9/2*a**2. Factor s(o). -3*(o - 3)*(o + 1) Let t = 482128 + -482126. Find o, given that -3/5*o - 9/5*o**t + 6/5 = 0. -1, 2/3 Let h(k) be the second derivative of -k**7/112 - 21*k**6/80 - 273*k**5/160 + 9*k**4/32 + 43*k**3/2 - 45*k**2 - 38*k. Find w, given that h(w) = 0. -15, -4, 1 Let h(t) = -t**3 - 9*t**2 + 33. Let m be h(-2). Let b(k) be the first derivative of -9*k**m + 23 + 10*k - 125/4*k**4 - 35*k**3 - 15/2*k**2. Factor b(q). -5*(q + 1)**3*(9*q - 2) Let l(c) be the first derivative of -c**4/22 + 422*c**3/33 + 212*c**2/11 - 2257. Factor l(b). -2*b*(b - 212)*(b + 1)/11 Let f(z) = 7*z**4 - 5*z**3 + 20*z**2 + 46*z + 2. Let c(v) = 18*v**4 - 11*v**3 + 42*v**2 + 91*v + 5. Let r(x) = 4*c(x) - 10*f(x). Solve r(g) = 0. -4, -3, 0, 4 Let a(q) = -8*q**2 + 3512*q - 850084. Let y(h) = -2*h**2 - 88*h. Let p(d) = -a(d) + 2*y(d). Suppose p(f) = 0. What is f? 461 Suppose 533 = 20*d - 7*d. Suppose -6*x - 5 = -d. Factor -59 - x*g**2 - 7*g - 3*g + 74 + g**2. -5*(g - 1)*(g + 3) Let b(p) = 33*p**2 - 6392*p - 3396288. Let o(t) = -24*t**2 + 6390*t + 3396288. Let v(r) = -3*b(r) - 4*o(r). Factor v(y). -3*(y + 1064)**2 Let i(o) = -5*o**3 - o**2. Let d(a) = 396*a**3 - 366*a**2 - 80*a - 4. Let x = -435 - -433. Let b(n) = x*d(n) + 18*i(n). Let b(l) = 0. What is l? -2/21, 1 Let b = -111890 - -111893. Factor -54/5*p**2 + 3/5*p**b + 243/5*p + 0. 3*p*(p - 9)**2/5 Let g = 30/2071 + 1801/18639. Let p(m) be the first derivative of g*m**3 - 34 + 10/3*m - 11/6*m**2. Solve p(x) = 0 for x. 1, 10 Let x be 3*((-30)/(-9) + -2). Let u(s) be the second derivative of -1/147*s**7 + 1/70*s**5 + 1/42*s**x + 0 + 10*s + 0*s**3 - 1/105*s**6 + 0*s**2. Factor u(h). -2*h**2*(h - 1)*(h + 1)**2/7 Let n(j) be the second derivative of -3/4*j**3 + 3 + 3*j + 1/8*
{ "pile_set_name": "DM Mathematics" }
2 - 3*w + 2. Let f be j(-3). Suppose 2*n - 120 = -f*n. Suppose -3*l + 12 = -n. Is l a multiple of 7? True Suppose 3*q + 362 - 5 = 3*g, -2*q + 470 = 4*g. Suppose -422 = -4*y - g. Does 13 divide y? False Suppose 2*n - 176 = 4*l, -7 = -2*n - l + 169. Is 11 a factor of n? True Let n(f) = -f**3 - 3*f**2 + 3*f + 3. Let m be n(-4). Suppose 2*s - m = 9. Does 3 divide s? False Suppose z - 4*z = -390. Suppose -5*i - 12 = -2*x, 4*x = 2*i + 2*i. Does 8 divide (z/15)/(i/(-6))? False Let g(p) = -5*p + 7. Let m(d) = 2*d + 7. Let c be m(-6). Is g(c) a multiple of 14? False Suppose 2*r + p - 913 = -r, 5*r - 5*p = 1555. Does 24 divide r? False Let n(b) be the second derivative of b**5/20 + b**4/3 - 7*b**3/6 + b**2 + b. Let m be (-32)/6 - 5/(-15). Is n(m) a multiple of 12? True Let k = 13 - 6. Let d(c) = c**3 - 7*c**2 + 2*c - 9. Let l be d(k). Suppose -l*v + 28 = -37. Is v a multiple of 5? False Let k(q) = q**2 - 4*q + 3. Let f be k(3). Suppose b + 2*z = 8 - f, 0 = 3*z - 15. Let r = b - -11. Does 9 divide r? True Let s be (4/8)/((-1)/(-2)). Let f be s/1 - (0 + -54). Let p = -29 + f. Is 13 a factor of p? True Let d(i) = -i**2 - 5*i + 2. Let x be (18/15)/(6/20). Let v be x*(0 - 3 - -2). Is d(v) a multiple of 3? True Let n = 9 + -4. Suppose -2*h - 298 = -2*s, 2*h + 713 = n*s + 5*h. Let u = s - 90. Is u a multiple of 17? False Let y(t) = 5*t + 15. Is y(9) a multiple of 12? True Let s(g) = -g**2 + g**3 - 6*g**2 + 2*g**2 + g - 5 - 6*g. Let f be s(6). Is 18 a factor of (-2 - f)*(-6 - 0)? True Let d = 1 + 3. Let q = -8 + 13. Suppose q*w = 4*v + 142, d*w - 4*v - 140 + 24 = 0. Does 14 divide w? False Is 23 a factor of (2/5)/(((-28)/(-3955))/4)? False Let v(x) = 2*x**2 - 5*x - 3. Let p be 32/(-4)*1/(-2). Let b = p - 7. Does 15 divide v(b)? True Suppose -2*w + 22 = -2*u, 65 = 2*w + 2*w + 3*u. Does 14 divide w? True Let g = 110 - 79. Is g a multiple of 3? False Is 20 a factor of (0 + (-1)/3)*-213? False Suppose 184 = y - 0*y. Is y a multiple of 25? False Let a = 172 + -60. Does 41 divide a? False Suppose -3*s + 125 = -8*s. Is 20 a factor of -2 - (s + 3 + 0)? True Let n(c) = 6*c - 3. Let z be 0 - (-1 + 3/3). Let d be -5*(z - (-18)/(-15)). Is 12 a factor of n(d)? False Suppose -2*a + 25 = -3*o - 13, 4*o + 5*a + 20 = 0. Let x(h) = h**2 + 9 + 9*h - 7 + 12. Is x(o) a multiple of 12? True Let o = -4 - -6. Let b(w) = -w**3 + 3*w**2 - 2*w - 1. Let r(t) = -t**3 + 4*t**2 - 2*t - 1. Let v(i) = -3*b(i) + 2*r(i). Does 9 divide v(o)? True Suppose 5*b + 19 = 2*t, 2*t - 4*b - 2 = t. Does 22 divide t? True Let k(s) = -s**3 + s**2 + 11. Let a be 2/7 - (-5)/7. Suppose -5*c + 24 = -5*f - a, -c = -2*f - 10. Does 11 divide k(c)? True Let t = 2 + 2. Suppose -5*f = -t*r - 208, f + r - 5*r = 48. Is f a multiple of 31? False Let w = 8 + -4. Is 10 a factor of 34 - (2 + 0) - w? False Let c be (3 + -7 - -10) + -1. Suppose 0 = 2*p + 4*h - 52, 5*p - 155 = c*h - 25. Does 13 divide p? True Let l(i) = -5*i - 21. Does 7 divide l(-11)? False Suppose -60 = -5*t + 5. Let h = -18 - 1. Let n = t - h. Does 16 divide n? True Let h(i) = 10*i - 4. Is h(4) a multiple of 12? True Let n(h) be the first derivative of -h**4/4 + 2*h**3/3 - h - 3. Let o be n(-1). Suppose 10 = 4*p - 0*v + o*v, 2*v = -6. Is p a multiple of 2? True Suppose 0 = 4*r + 4*f - 16, -2*f = -r + 3*f + 4. Suppose -r*d + 0*x + 46 = 3*x, 2*x = d - 6. Suppose d + 5 = 5*k. Does 2 divide k? False Suppose 4*b + 197 = -99. Let k = 11 + b. Let u = k - -101. Does 20 divide u? False Let c be 18/(((-6)/(-75))/(-1)). Let b = c - -129. Is (-1)/((3/b)/1) a multiple of 16? True Let p = 75 + -72. Let q(i) be the third derivative of i**6/120 - i**5/30 + i**4/8 - i**2. Is q(p) a multiple of 7? False Let w be -12 - 4*(-3)/6. Let x be (-54)/(-15) - (-6)/w. Is 8 a factor of -6 + x - -24 - -1? False Let p(a) be the first derivative of -3*a**2/2 + 10*a + 3. Is 13 a factor of p(-7)? False Let m(f) = -2*f**3 - f**2. Let w be m(-2). Let k(a) = -a**2 + 15*a - 8. Is k(w) a multiple of 7? True Let s be 29*-1*(1 + -2). Suppose 2*a - 35 = -5*l - 3*a, s = 5*l + 3*a. Suppose -4*i = -l*d - 2*i + 48, 0 = 2*i + 4. Does 8 divide d? False Let n(f) = 2*f**3 + 2*f**3 - 4 + 8 - 5*f**2 + 5*f - 3*f**3. Does 35 divide n(6)? True Let j(o) = -5*o**3 + o**2 + 5*o + 5. Is 2 a factor of j(-2)? False Suppose 0 = -2*c + 6 + 12. Is 9 a factor of c? True Suppose 0 = 2*u - 15 + 5. Suppose s - 10 = 2*d, -u = 4*d + 11. Suppose -5*t + 27 = -q, -2*t + t = -s*q. Is 3 a factor of t? True Suppose -2*j + 24 = -0*j. Does 10 divide -24*(-3 + 21/j)? True Is 4/30 + (-2606)/(-30) a multiple of 11? False Let x(g) = 22*g**3 - 5*g**2 + 4*g - 4. Let j(v) = -22*v**3 + 6*v**2 - 5*v + 5. Suppose 25 = 3*d + 10. Let r(u) = d*x(u) + 4*j(u). Is 6 a factor of r(1)? False Suppose 3*u - 428 - 148 = 0. Is u a multiple of 32? True Suppose 3*g + 4*j - 1 + 8 = 0, 2*g = 3*j + 1. Let l = 3 - g. Is 2 a factor of l? True Let i = -9 - -19. Is i a multiple of 5? True Suppose -5*q - 524 = -4*s, -5*s + q = -0*q - 655. Suppose z - s = -3*a - a, 0 = 3*a + z - 99. Is a a multiple of 11? False Let h be 4/12 - (-7)/(-3). Let z = 4 - h. Does 6 divide z? True Let x(q) = -5*q - 38. Is x(-11) a multiple of 13? False Suppose -7*h + 89 = -44. Does 11 divide h? False Let d = -25 - -42. Is 11 a factor of d? False Let t = 0 + 2. Let r(u) = 2 + 2*u**t - 2 - u + 2. Is r(-2) a multiple of 12? True Is 70/(-4)*88/(-20) a multiple of 19? False Suppose 72 = -k + 2*k - 3*b, 2*k + 4*b = 104. Does 15 divide k? True Suppose x + 3*s - 12 - 2 = 0, -4 = s. Is x a multiple of 4? False Let n(s) = -10*s + 3. Suppose d = -2*d - 12. Let w be n(d). Let z = 64 - w. Is z a multiple of 10? False Suppose 5 - 61 = -7*z. Is 4 a factor of z? True Let i(z) = -2*z. Is i(-11) a multiple of 11? True Let s = 6 - 3. Suppose -s*f = -f - 26. Let o = 21 - f. Is o a multiple of 3? False Let q(p) = -2*p + 80. Does 20 divide q(0)? True Let p(f) = f**3 + 7*f**2 + 4*f + 3. Does 9 divide p(-3)? True Let k(i) = -i**2 - 3*i. Let d be k(-5). Does 2 divide 2*d/4*-1? False Let t = 60 + -45. Does 15 divide t? True Suppose 0 = -5*c + 3 + 12. Suppose w = -4*w - b + 70, -2*b - 29 = -c*w. Is 13 a factor of w? True Let v = 55 + -38. Suppose -4 - 6 = -5*n. Suppose -y + 5*g = 5, 5*g - 18 = -n*y + v. Does 10 divide y? True Suppose -2*o - 470 = -4*w, 4*w - 255 = 2*w - 3*o. Suppose -w = -4*i - i. Is 8 a factor of i? True Let t = -57 - -113. Does 14 divide t? True Let l = -80 - 121. Let f = -83 - l. Is f a multiple of 27? False Suppose -4*c - 1 - 3 = 0. Suppose -2*t - 7 = 3. Is 4*t*c/4 even? False Let b(f) = 8*f**2 - 2*f + 2. Suppose -2*j + 2*s = 2, 5*j - 2*j - 5*s = 1. Let q be b(j). Suppose 6*m = m + q. Is 16 a factor of m? True Let a = 11 - 8. Suppose 21 = -a*l + 48. Does 3 divide l? True Let w(p) = p**3 + 5*p**2 - 2*p - 6. Let j(a) = a**2 + 4*a - 5. Let y be j(-4). Let m be w(y). Suppose 20 = z + m*v, -5*z = -3*z + 3*v - 40. Is 10 a factor of z? True Let c(t) = 6*t - 3. Let w be 8 + -6 + 2/2. Let u be c(w). Suppose -3*z - u = -o, 2*o = 2*z - 3*z + 51. Does 16 divide o? False Let d = -1 + 4. Suppose -4*r + d = -5. Suppose 2*g + 37 = w, r*w - 5*g - 105 + 27 = 0. Is w a multiple of 12? False Let c = 473 + -773. Let x = -181 - c. Suppose -x + 374 = 5*t. Is 17 a factor of t? True Let z be 14/35*5*1. Suppose 4*t - 2*l = z*t + 18, 2*t - 28 = 4*l. Does 2 divide t? True Let d(b) = -b + 3. Let f be d(8). Let u be (f - -5)/(-1*1). Suppose -25 = -x + p - 0*p, -5*x - 2*p + 90 = u. Does 10 divide x? True Let n be 2 - (-2)/2*-61. Let s be (-2)/4 - n/(-2). Is (3/2 + -2)*s a multiple of 14? False Let t(k) be the first derivative of -2*k**3/3 - k**2 + 3*k - 2. Let i be t(-3). Is 12/i*(-15)/2 a multiple of 10? True Does 12 divide ((-124)/2)/(-1) + 0? False Suppose 349 + 137 = 3*d. Suppose 3*l = -q - 2*q + 93, -5*q + d = -2*l. Is 16 a factor of q? True Suppose 5*s - 154 - 55 = -3*t, 142 = 2*t + 4*s. Suppose 5*j = 2*j + t. Suppose -2*w = -3*w + j. Is 8 a factor of w? False Let i(t) be the first derivative of 1/2*t**2 - 3 + 26*t. Is 13 a factor of i(0)? True Let c(k) = k**3 - k**2 + 1. Let y(a) = 3*a**3 + 2*a**2 - 1. Let l(i) = -4*c(i) + y(i). Let f be l(5). Is 6 a factor of 67/4 + 5/f? False Let x = 36 + -15. Suppose -3*p = -0*p - x. Suppose 0 = -5*b - p + 32. Is b a multiple of 3? False Let y = 10 - 5. Suppose y*s = -2*r + r +
{ "pile_set_name": "DM Mathematics" }
ement from {y: 1, f: 3, k: 1, m: 2}? 1/70 What is prob of sequence ll when two letters picked without replacement from {l: 11, a: 1}? 5/6 Three letters picked without replacement from {n: 2, c: 2, i: 1}. What is prob of sequence cic? 1/30 Two letters picked without replacement from {r: 7, t: 1, m: 11}. What is prob of sequence mt? 11/342 Calculate prob of sequence nae when three letters picked without replacement from {r: 1, n: 3, z: 1, a: 8, e: 2, q: 3}. 1/102 Four letters picked without replacement from raaqphxq. What is prob of sequence xqhr? 1/840 What is prob of sequence zuaa when four letters picked without replacement from aguuzaa? 1/70 Calculate prob of sequence rd when two letters picked without replacement from mrllrlmddlr. 3/55 Two letters picked without replacement from {x: 7, g: 5, b: 1}. What is prob of sequence bx? 7/156 Three letters picked without replacement from rurujrjruw. Give prob of sequence rww. 0 What is prob of sequence wwv when three letters picked without replacement from {w: 2, h: 3, v: 3, g: 3, z: 6}? 1/680 Calculate prob of sequence nf when two letters picked without replacement from {n: 13, f: 3}. 13/80 What is prob of sequence mjm when three letters picked without replacement from {m: 7, j: 12}? 28/323 Four letters picked without replacement from hshqqqmqsqqqsssssjs. What is prob of sequence msqq? 7/1938 Three letters picked without replacement from ommkmkmo. Give prob of sequence mmo. 1/14 Two letters picked without replacement from qmiww. What is prob of sequence wi? 1/10 Two letters picked without replacement from {g: 3, d: 2}. Give prob of sequence dd. 1/10 Calculate prob of sequence pba when three letters picked without replacement from aajbpaajggaaagggaaja. 1/684 Calculate prob of sequence fdm when three letters picked without replacement from {f: 2, m: 1, n: 3, d: 1}. 1/105 Calculate prob of sequence uix when three letters picked without replacement from {u: 1, x: 1, i: 1, b: 1, j: 1}. 1/60 Three letters picked without replacement from {u: 2, n: 1}. Give prob of sequence uun. 1/3 Calculate prob of sequence xeee when four letters picked without replacement from hhhhhxhheehxhhx. 0 What is prob of sequence kjz when three letters picked without replacement from {g: 1, x: 1, k: 1, j: 1, z: 1}? 1/60 Calculate prob of sequence zji when three letters picked without replacement from {z: 2, g: 1, i: 6, j: 1, q: 2}. 1/110 What is prob of sequence www when three letters picked without replacement from wwwwww? 1 Calculate prob of sequence pwp when three letters picked without replacement from wpdke. 0 Two letters picked without replacement from {r: 6, p: 6, l: 4, b: 1}. What is prob of sequence rl? 3/34 What is prob of sequence crl when three letters picked without replacement from {c: 2, q: 3, r: 1, s: 4, z: 2, l: 3}? 1/455 What is prob of sequence bfjb when four letters picked without replacement from bbfddjblbvff? 1/330 Three letters picked without replacement from {x: 1, h: 2, a: 2, c: 1, b: 1}. What is prob of sequence hcb? 1/105 Four letters picked without replacement from yarygarggggyr. Give prob of sequence gyyy. 1/572 Two letters picked without replacement from {i: 2, o: 2}. What is prob of sequence oi? 1/3 Three letters picked without replacement from cmmmxmmmmcxx. What is prob of sequence xxx? 1/220 Calculate prob of sequence ol when two letters picked without replacement from {f: 1, n: 1, q: 1, o: 2, s: 1, l: 2}. 1/14 Three letters picked without replacement from {u: 1, r: 1, y: 1}. What is prob of sequence ury? 1/6 Calculate prob of sequence iiie when four letters picked without replacement from {i: 6, e: 7}. 7/143 Calculate prob of sequence vq when two letters picked without replacement from {u: 5, v: 3, p: 3, q: 3, x: 4}. 1/34 Three letters picked without replacement from mmmffrffmmfmmfrmmmfq. What is prob of sequence mrf? 7/342 Two letters picked without replacement from {k: 1, j: 6, a: 4}. Give prob of sequence jj. 3/11 What is prob of sequence bab when three letters picked without replacement from abjbb? 1/10 What is prob of sequence em when two letters picked without replacement from {m: 3, l: 1, e: 3, u: 1, s: 11}? 1/38 Calculate prob of sequence hozo when four letters picked without replacement from {h: 1, b: 1, z: 1, o: 2, r: 2}. 1/420 Two letters picked without replacement from {x: 4, m: 3, y: 2, s: 1}. What is prob of sequence sx? 2/45 Two letters picked without replacement from rrprruvrprrrrrrruvr. What is prob of sequence up? 2/171 Three letters picked without replacement from {h: 2, l: 17}. Give prob of sequence lhl. 16/171 Calculate prob of sequence dks when three letters picked without replacement from {q: 4, t: 2, d: 1, s: 3, k: 1}. 1/330 Four letters picked without replacement from {z: 6, l: 4, q: 4}. Give prob of sequence qqzq. 6/1001 What is prob of sequence nl when two letters picked without replacement from {h: 1, i: 1, l: 1, e: 1, n: 1}? 1/20 Calculate prob of sequence mhpl when four letters picked without replacement from lxdxpmh. 1/840 What is prob of sequence oe when two letters picked without replacement from eooe? 1/3 Calculate prob of sequence mt when two letters picked without replacement from {t: 1, m: 3}. 1/4 Two letters picked without replacement from {k: 1, g: 2, o: 2}. What is prob of sequence ko? 1/10 Three letters picked without replacement from {t: 1, i: 1, h: 5, w: 4, g: 1, a: 1}. Give prob of sequence ghw. 5/429 Calculate prob of sequence izm when three letters picked without replacement from zzzztmtzji. 1/144 Calculate prob of sequence jj when two letters picked without replacement from zjjlyymb. 1/28 Four letters picked without replacement from {z: 4, k: 6, c: 4, j: 1}. Give prob of sequence cjkj. 0 Calculate prob of sequence oaoo when four letters picked without replacement from {o: 5, a: 3}. 3/28 What is prob of sequence ueu when three letters picked without replacement from euueuaaaueaeaaaa? 1/70 What is prob of sequence bmkk when four letters picked without replacement from mnnfzbmkkmkz? 1/660 Four letters picked without replacement from gdsjodd. What is prob of sequence gsdo? 1/280 Four letters picked without replacement from uuuuuuuluuuuuuuuuuuu. Give prob of sequence uuuu. 4/5 What is prob of sequence px when two letters picked without replacement from {y: 1, p: 4, x: 2, v: 2, a: 7}? 1/30 Calculate prob of sequence jl when two letters picked without replacement from {h: 8, g: 5, l: 1, j: 2}. 1/120 What is prob of sequence pvom when four letters picked without replacement from {v: 2, o: 1, p: 1, q: 2, m: 1}? 1/420 Calculate prob of sequence od when two letters picked without replacement from qqqlomdq. 1/56 What is prob of sequence zzzz when four letters picked without replacement from dzzzddzzdd? 1/42 Two letters picked without replacement from qqfqqqqqfqqq. What is prob of sequence ff? 1/66 Four letters picked without replacement from {x: 7, q: 4, g: 4, w: 4, n: 1}. What is prob of sequence xgqw? 56/14535 What is prob of sequence ij when two letters picked without replacement from gigiiijijirjgijiix? 2/17 What is prob of sequence hhoh when four letters picked without replacement from {h: 3, o: 17}? 1/1140 What is prob of sequence mame when four letters picked without replacement from mmxmqameqmqeqqma? 1/364 Two letters picked without replacement from msvqzbqbvqv. Give prob of sequence zm. 1/110 What is prob of sequence hhwc when four letters picked without replacement from {c: 9, h: 5, w: 2}? 3/364 Four letters picked without replacement from {h: 6, m: 13}. What is prob of sequence mmmm? 715/3876 Three letters picked without replacement from {c: 2, e: 2, f: 4, b: 1, r: 3}. Give prob of sequence brr. 1/220 What is prob of sequence it when two letters picked without replacement from {i: 1, k: 1, t: 2, m: 1}? 1/10 Three letters picked without replacement from qxdgudqvgugud. Give prob of sequence guv. 3/572 Four letters picked without replacement from {t: 2, z: 4, d: 4, q: 4}. What is prob of sequence zqzt? 4/1001 Calculate prob of sequence tjj when three letters picked without replacement from {y: 1, t: 4, j: 2, l: 2, b: 3, i: 2}. 1/273 Three letters picked without replacement from ddyhhddhhd. What is prob of sequence yhh? 1/60 What is prob of sequence h
{ "pile_set_name": "DM Mathematics" }
derivative of q(o). Find the first derivative of t(f) wrt f. -3*f**2 Let q(z) be the second derivative of -12*z + 0*z**5 + 0 + 0*z**2 + 1/6*z**6 + 0*z**4 - 8/3*z**3. Find the second derivative of q(f) wrt f. 60*f**2 Let f be (-17)/(-2) + 4*60/(-48). Let j(t) be the first derivative of -4 - 9/4*t**4 + 0*t + 0*t**3 + f*t**2. Find the second derivative of j(q) wrt q. -54*q Let o(c) = c**3 + c**2 + c + 1. Let u(n) = 50*n**3 + 15*n**2 + 9*n + 9. Let v(p) = -18*o(p) + 2*u(p). What is the third derivative of v(k) wrt k? 492 Let r(o) = 246*o - 85. Let m(d) = 490*d - 173. Let h(q) = -2*m(q) + 5*r(q). What is the first derivative of h(n) wrt n? 250 What is the third derivative of 426*c + 8*c**6 - 5*c**2 + 3*c**2 - 380*c + 7*c**3 wrt c? 960*c**3 + 42 What is the derivative of -4*i**3 + 1036 - 335 - 6*i**2 - 445 - i**3 - i**3 wrt i? -18*i**2 - 12*i Let u(t) be the third derivative of -19/6*t**3 + 0*t**5 + 0*t**4 + 0*t**6 + 0 + 2*t**2 + 4/105*t**7 + 0*t. What is the derivative of u(b) wrt b? 32*b**3 Let k(p) be the third derivative of 0*p**7 + 0*p**4 + 0 - 1/28*p**8 + 0*p**6 - 8*p**2 + 0*p + 0*p**3 + 13/60*p**5. What is the third derivative of k(n) wrt n? -720*n**2 Find the third derivative of -509898*y**3 + 30*y**2 + 510192*y**3 + 3*y**2 + 7 wrt y. 1764 Find the third derivative of 28*i**2 + 2 + 2707*i - 2707*i + 93*i**3 wrt i. 558 Let x(p) be the second derivative of -15*p**5/4 - 85*p**3/6 + 6*p + 7. Find the second derivative of x(w) wrt w. -450*w Let h(x) be the second derivative of 1/2*x**3 + 0*x**2 + 0 + 9*x - 1/4*x**5 + 0*x**4. What is the second derivative of h(p) wrt p? -30*p Suppose -s = -5*k + 17, 5*s - 3*k - 1 = 2. What is the third derivative of 11*v**2 + 0*v + 19*v**s + 0*v**3 + 0*v wrt v? 114 Let z(x) = -41*x**3 - 2*x**2. Let k(r) = -41*r**3 - 3*r**2. Suppose -6*y - 4 + 22 = 0. Let c(l) = y*k(l) - 2*z(l). What is the third derivative of c(w) wrt w? -246 Let x(m) = -338*m**2 + 38*m + 5. Let w(u) = 505*u**2 - 56*u - 7. Let j(h) = -5*w(h) - 7*x(h). What is the second derivative of j(t) wrt t? -318 Let r(t) = -345*t**4 - 18*t**2 + 2*t + 83. Let h(n) = -346*n**4 - 21*n**2 + 2*n + 83. Let g(v) = -6*h(v) + 7*r(v). What is the second derivative of g(s) wrt s? -4068*s**2 Let p be (3/3 + -2)*-4. Suppose 4*g - 2*z - 5 = 5, 0 = -4*g - 2*z - 2. Differentiate 3 + 1 - p*m**4 + g with respect to m. -16*m**3 Let c(q) = -16*q**3 - 91*q**2 + 5*q - 10. Let z(y) = 8*y**3 + 45*y**2 - 2*y + 4. Let f(p) = 2*c(p) + 5*z(p). What is the third derivative of f(x) wrt x? 48 Differentiate 53 + 341*h - 43 - 113*h + 99 wrt h. 228 Let v(d) be the second derivative of 0*d**7 + 1/3*d**4 + 0*d**6 + 0 + 0*d**2 + 11*d + 0*d**5 + 0*d**3 - 1/7*d**8. Find the third derivative of v(l) wrt l. -960*l**3 Let x(t) = -21*t - 16. Let v(y) be the first derivative of -41*y**2/2 - 31*y + 5. Let p(k) = -3*v(k) + 5*x(k). What is the first derivative of p(o) wrt o? 18 Let j(g) be the second derivative of g**4/12 - g**2/2 - 5*g. Let i be j(-2). Find the third derivative of -2*t + 4*t**6 - t**2 - i*t**2 + 2*t wrt t. 480*t**3 Let m be 3 + -2*1/2. Suppose m*q - 4 = 2. Differentiate 9 + 2 - q + d**3 with respect to d. 3*d**2 Let z(l) = -9*l + 10 + 18 - 10 - 22*l**2. Let f(a) = -11*a**2 - 4*a + 9. Let x(m) = -9*f(m) + 4*z(m). What is the first derivative of x(s) wrt s? 22*s Let p(a) be the first derivative of a**4/2 - 42*a**3 - 102*a**2 + 114. Find the second derivative of p(v) wrt v. 12*v - 252 Let a(c) be the first derivative of 127*c**2/2 + 89*c - 265. Differentiate a(t) wrt t. 127 Let c(p) be the second derivative of 155*p**4/6 + 7*p**3/6 + 2*p**2 + 7*p - 26. What is the second derivative of c(m) wrt m? 620 Let b(a) be the first derivative of -29*a**4/24 - 11*a**3/2 + 11*a**2/2 + 14. Let q(j) be the second derivative of b(j). What is the derivative of q(w) wrt w? -29 Let c be (-5 - 0 - 5)/((-5)/2). Let i(q) be the third derivative of 0 - 5*q**2 + 0*q + 7/6*q**3 - 1/4*q**c. Differentiate i(n) with respect to n. -6 Suppose x + 4*x + 90 = 0. Let g = x + 21. What is the third derivative of g*l**6 + 8*l**6 + 2*l**2 - l**2 wrt l? 1320*l**3 Let s(b) be the second derivative of -62*b**4/3 + 11*b**3/3 - b**2/2 - 2*b - 110. What is the second derivative of s(r) wrt r? -496 Find the second derivative of 471*z**2 + 59*z - 34*z + 22*z + 120*z + 23*z wrt z. 942 Find the third derivative of -37*u**3 + 16*u**2 - 11*u**2 - 26*u**3 - 19*u**2 wrt u. -378 Let b(x) = -x**3 - x**2 - x. Let o(g) = -30*g**3 - 8*g**2 - 8*g + 68. Let m(r) = 8*b(r) - o(r). What is the derivative of m(k) wrt k? 66*k**2 Let b = 7 - 5. Suppose -4*a - 2*n = -b, a - 3*n - 6 = 4*a. Find the second derivative of -2*p - 4*p + 79*p**3 - 75*p**a wrt p. 24*p Suppose 0 = 5*f - 21 - 9. Let b be (3/f)/((-1)/(-4)). Find the first derivative of -4 - b + 1 - 5*y**2 wrt y. -10*y What is the third derivative of 116*x**2 + 83*x**4 + 35*x**2 - 173*x**4 wrt x? -2160*x Differentiate -222 - 19*t**2 + 203 - 22*t**2 wrt t. -82*t Find the second derivative of -21*j - 7 + 24*j**4 + 25*j - 167*j**4 wrt j. -1716*j**2 Let g(d) be the second derivative of -25*d**7/42 + 2*d**3 + 85*d. What is the second derivative of g(z) wrt z? -500*z**3 What is the third derivative of 52*f**3 + 350*f**2 - 12 + 12 - 443*f**2 wrt f? 312 What is the derivative of 33 + 101*h + 29*h - 15*h wrt h? 115 Let m(r) = 1352*r**3 + 881*r**2 + 7*r + 7. Let f(o) = -676*o**3 - 441*o**2 - 3*o - 3. Let j(i) = 7*f(i) + 3*m(i). What is the third derivative of j(h) wrt h? -4056 Suppose -14*f - 3 = -15*f. Let g(l) be the third derivative of 1/12*l**5 + 0*l + 0*l**f - l**2 + 0 - 5/24*l**4. What is the second derivative of g(d) wrt d? 10 What is the second derivative of -y**5 - 96*y - 243*y**3 + 488*y**3 - 244*y**3 - 58*y wrt y? -20*y**3 + 6*y Let v(l) be the second derivative of -l**6/120 - l**5/6 + 5*l**2/2 + 7*l. Let c(m) be the first derivative of v(m). Find the third derivative of c(n) wrt n. -6 Suppose 4*g + 12 = -d, -3*d - 24 = -2*d - 2*g. Let a be 6 - -1 - d/(-10). What is the second derivative of 6*j + 4*j - 4*j**a + 0*j - j wrt j? -80*j**3 Differentiate 2*z + 70 + z**2 - 10*z**2 + 10*z**2 + 3*z**2 with respect to z. 8*z + 2 Let d(o) be the first derivative of -35 + 0*o + 23/2*o**2 + 0*o**3 - 7/2*o**4. What is the second derivative of d(r) wrt r? -84*r Let g be (3/(-9))/(3/(-2367)). What is the second derivative of g*i**3 + 10*i**4 - 263*i**3 - 4*i wrt i? 120*i**2 Suppose -7 = -3*t + a - 6*a, 4*t - a = 40. Suppose t*s = 8*s. Differentiate -5 + 15 - 11*f + s with respect to f. -11 Let l(o) be the second derivative of 35*o**5/4 + 17*o**3/3 - 4*o + 9. Find the second derivative of l(w) wrt w. 1050*w Let u(j) be the third derivative of -1/3*j**3 + 2*j**2 + 7*j + 0 - 9/20*j**6 - 7/12*j**4 + 1/60*j**5. What is the second derivative of u(s) wrt s? -324*s + 2 Find the second derivative of 178*w**5 - 363*w**5 + 179*w + 24*w - 191*w**5 + 10*w wrt w. -7520*w**3 Let m(o) = -o**2 - 2*o + 2. Let l(p) = -262*p**2 - 351*p - 4. Let z(b) = 2*l(b) + 4*m(b). Find the second derivative of z(v) wrt v. -1056 Let u be 2/(-1 + 6/3). What is the second derivative of 6*d - 2*d - 8*d**u - 5*d**2 + d**2 wrt d? -24 Let o(g) be the second derivative of -261*g**5/10 + 425*g**2/2 + 515*g - 1. What is the derivative of o(l) wrt l? -1566*l**2 Let l = 60 + -56. Differentiate 2*p**4 + 0*p**4 - 48 - 8*p**4 - p**3 + 3*p**l with respect to p. -12*p**3 - 3*p**2 Let t(x) be the third derivative of -5 - 7/12*x**5 - 3*x**2 + 0*x - 1/6*x**4 - 2/3*x**3. Find the second derivative of t(f) wrt f. -70 Let v(p) be the second derivative of 127*p**6/30 + 2*p**4/3 - p**3 + 2*p - 60. Find the third derivative of v(x) wrt x. 3048*x Let k(i) = i**2 + 2*i - 6. Let w be k(4). Suppose -w = -2*a - a. Find the third derivative of -7*u**2 + 8*u**3 - 6*u**2 + a*u**2 wrt u. 48 Let l(h) be the first derivative of -32*h**6/3 - h**3/3 + 484*h**2 + 309. What is the second derivative of l(c) wrt c? -1280*c**3 - 2 Let s(b) = -45*b + 135. Let d = 83 - 28. Let w(q) = -5*q + 15. Let m(f) = d*w(f) - 6*s(f). What is the first derivative of m(a) wrt a? -5 Let n(b) = 893*b + 3478. Let t(k) = -94*k - 366. Let f(w) = -5*n(w) - 47*t(w). Differentiate f(h) with respect to h. -47 Let d be 58/4 - 5/10. What is the derivative of -d*o**3 + 2 - 5*o + 2*o + 3*o wrt o? -42*o**2 Suppos
{ "pile_set_name": "DM Mathematics" }
2441 - -3981. Suppose 0 = 5*t + 5*m - u - 963, -2*t + 2954 = 5*m. Is t composite? True Let s = 51454 - 25833. Is s prime? True Let k be 3 + 0 + 2/1. Suppose -k*o = -5*v, o + 0*v + v = 0. Suppose 4*r - 5*y - 1363 = o, -r - 3*y = 4*r - 1750. Is r a prime number? True Suppose n - 6*n + 10 = 0. Suppose -m - 5 = 0, 5*m - 119 = -n*g + 4*m. Is g composite? True Let x(n) = -200*n**2 + 3*n - 2. Let o(y) = y**2. Let f(p) = 4*o(p) - x(p). Is f(1) a prime number? False Let c be ((-7)/(-2) - 0)/(25/50). Suppose 2*n = -4, 8*n = 2*d + c*n - 2796. Is d prime? False Suppose -4*d + 183 + 289 = 0. Let l = 21 + d. Is l composite? False Let o(h) = 1073*h**2 - 60*h - 22. Is o(-4) a composite number? True Suppose 122843 = 5*j - 4*n, -2*j = -113*n + 118*n - 49157. Is j a prime number? True Let c(q) = 18*q**2 - 79*q - 122. Is c(51) prime? True Suppose 4*s + 12 = -0*s, 2*w + 3*s + 5 = 0. Let u be (-2364)/(-10) - 24/60. Suppose 0 = -w*v + u - 42. Is v composite? False Let x = 348 - -2206. Is x composite? True Suppose 106*i - 96*i = 45470. Is i prime? True Let g = 4 + -1. Suppose -4 = -y - g*y. Is (-218)/(-1) + (y - -2) composite? True Let j = 291 + -880. Let a = -410 - j. Is a composite? False Let x = 1924 + 17. Is x prime? False Suppose -3*p = 3 - 30. Let z be (p - 0)/((-1)/1). Let n(o) = -18*o - 3. Is n(z) composite? True Suppose 0 = 6*u + 6637 - 47923. Is u composite? True Let b(s) be the third derivative of -17*s**4/8 - 4*s**3/3 - 5*s**2. Let h be b(-7). Suppose -733 = -2*n + h. Is n composite? False Let w(d) = -359*d**3 - 3*d + 57. Is w(-5) prime? False Suppose 0 = -4*w - 7*w + 35794. Is w prime? False Let z(w) = 53*w + 20. Let y be z(5). Suppose d - y = 4*g, 2*d - 4*g - 580 = -g. Is d a composite number? False Suppose -2*r - r - 2166 = 0. Let a = 147 + r. Is a/(-10)*4/2 a prime number? False Is -1 + (-6)/(-7) + (-3238600)/(-350) prime? False Let h = -2 - -5. Let n = 1307 + -721. Suppose -t + h*t - n = 0. Is t prime? True Let a = 10 - 3. Let n be (12 - a)*2/2. Suppose n*x = 528 + 557. Is x composite? True Let s(h) = -h**3 + 4*h**2 - 4*h + 3. Let o be s(3). Suppose -6 = -3*n - o. Suppose 14 = 2*l - 5*a, n = 3*l - 2*a - 19. Is l a composite number? False Let z = -38 - -40. Suppose 4*i - 2*i + 4*g - 442 = 0, z*i = -3*g + 439. Is i prime? False Suppose 2 = -o, -4*l + 2*l + 366 = 2*o. Suppose x - 3*a - l = -21, -4*a + 318 = 2*x. Is x prime? False Let a(i) = 2*i**2 + 2*i + 3. Let h be a(0). Suppose -3*x - 3*m = -137 - 1009, 0 = -3*x + h*m + 1146. Is x composite? True Let b(h) = -h**3 - 6*h**2 + 2*h + 14. Let m be b(-6). Suppose -2*j + 485 = 3*j. Suppose -j = m*s - 3*s. Is s a composite number? False Let q(s) = 4*s**2 + 15*s - 5. Let d be q(-5). Let r(n) = 27*n + 41. Is r(d) a composite number? True Is (1486 - 15)*(-3)/((-12)/76) prime? False Suppose -5*t + 3*m + 268470 = 0, -4*t - 5*m + 43814 + 170962 = 0. Suppose -t = -3*s - 0*j - j, -s + 17900 = j. Is s/88 + (-6)/16 composite? True Let v(u) = 364*u - 195. Is v(16) a prime number? False Suppose q + 0*q - 10 = -2*o, o = 4. Let v(t) be the second derivative of 31*t**3 - t**2/2 + 4*t. Is v(q) a composite number? True Let f = 16391 + -9322. Is f a composite number? False Let y(z) be the second derivative of -z**4/12 - z**3/2 + 2*z**2 + 3*z. Let a be y(-3). Suppose -2*b - 258 = -a*b. Is b prime? False Let s = -8741 - -17404. Is s composite? False Suppose -f + 4*h = -690, 3*f + 0*f - 2126 = -2*h. Is f a composite number? True Suppose -2*l - 28*b + 30*b = -5338, -8023 = -3*l - 5*b. Is l a composite number? False Let r be 0/(4 + 1 + -4). Suppose 6*i - i + 20 = r. Is (2/i)/((-4)/1624) a composite number? True Is (-64822)/(4 - 2)*-1 prime? True Let v = 817 - 441. Suppose -4279 = 18*k - 445. Let z = v + k. Is z a prime number? True Suppose 261*h = 298*h - 648203. Is h prime? True Suppose -5*o + 4*v + 1282 = 0, -o + 0*o - 2*v + 262 = 0. Suppose 3*r + 387 = 2*t, 2*r + o = t + 2*t. Let b = r + 260. Is b a prime number? True Let u = 1001 + -305. Let k = u - 485. Is k a composite number? False Let y = 867 + 5272. Is y a prime number? False Let i = -23 - -30. Let b(p) = -7*p**2 + 4 + 8*p**2 + i*p - p. Is b(5) a prime number? True Suppose -24*x = -20*x - 15332. Is x a prime number? True Let s(f) = 11*f**2 + 19*f - 113. Is s(26) a composite number? False Let j(s) = 119*s**3 - 5*s**2 - 3*s - 49. Is j(6) composite? False Let x(j) = 5*j + 68. Is x(3) a prime number? True Let q(k) = -2*k**3 - 3*k**2 - 3*k - 1. Let l be q(-2). Let h = 5 - l. Is (-40)/h + (-3)/(-1) prime? True Suppose -h + 449 = -436. Let x = h + 262. Is x prime? False Is (-22432)/((-4)/1) + 5 a composite number? True Let z be (-20283*1/(-12))/(1/4). Suppose -26716 + z = -5*d. Is d a prime number? False Suppose -u = 4*n + n + 29, -u + 1 = -n. Let c = 1 - n. Suppose -z - 635 = -c*z. Is z a composite number? False Let t(q) = -3*q + 37. Let p be t(11). Is 59*(0 + 14)/(p + -2) a prime number? False Let a(z) = z**3 - 13*z**2 + z - 13. Let t be a(13). Suppose 3*b + t*p - 386 = -5*p, -2*p - 252 = -2*b. Is b a composite number? False Is 9080 - 58 - (2/1)/(-2) prime? False Let s be (-2)/(-2) - (1 + -8). Let b be 1/(-1) + s + -5. Is (b/1)/(2/223) a composite number? False Let z = 61 - 55. Suppose r = -4, 3*d - z*r + 2*r - 2035 = 0. Is d prime? True Let a(v) = 2*v**2 - 1 + 3*v**2 - 3*v**2 + 7*v**2 + v**3 - v. Let c be a(-9). Is (4/3)/(c/276) a composite number? True Suppose 4*v - 2 = 10. Suppose b - 103 - 39 = 0. Suppose -4*n = -3*u + 85 + 69, v*u - b = n. Is u composite? True Let r(u) = 14*u**2 - 27*u + 373. Is r(24) composite? False Let x(b) = -48*b - 1. Let y be (-2 + 6)*2/(-4). Is x(y) composite? True Let l(g) = -88*g**3 + g**2 - 67*g - 303. Is l(-5) prime? True Suppose 520*q = 521*q - 1571. Is q prime? True Suppose 3 = 4*y - 3*t, -y + 3*t = -0*y - 3. Let f be (1675 - -10) + (y - 2). Let a = f - 1014. Is a a composite number? True Let z be 4/2*27/(-2). Let c = 33 + z. Suppose -2*m + c*m - 636 = 0. Is m a prime number? False Suppose -4*p + 9 = -i - 2, 3*p + 3*i - 12 = 0. Suppose 5270 = -0*b + 2*b + p*j, 2*b + 5*j - 5278 = 0. Is b prime? False Suppose 60*o = -2*a + 61*o + 910, -4*a = 5*o - 1848. Is a composite? False Let d(l) = 518*l**2 - 7*l + 11. Is d(6) prime? True Suppose 0*t - 4*t + 96 = 0. Let z = t + -20. Is (-445)/(-3) + z/6 prime? True Suppose v - 809 = 2*g, 2*v + 2*g = 1196 + 392. Is v a composite number? True Suppose 2*a + 0*u + 3*u = 16, 0 = -5*a - 5*u + 35. Suppose -5*d + a = -0*d, 0 = -3*p + 3*d + 228. Is p prime? False Suppose -5*b = -7*b. Let s = -145 - -221. Suppose -3*f + 607 - s = b. Is f prime? False Let l(h) = 3 - 2*h - 20*h**2 - h + 19*h**2. Let y be l(-3). Is (y - 14)*-3*1 composite? True Let t = -3825 - -7427. Is t composite? True Suppose 1471 = 3*m - 5*y, 4*m = 10*y - 12*y + 1944. Is m prime? True Suppose -4*c - 2*s = -17602, 3*c + 10*s - 13200 = 9*s. Is c a composite number? True Let b = 3761 + -6052. Let u = b - -4050. Is u prime? True Is (-17)/(-68) + (-213868)/(-16) a prime number? True Suppose -2*q + 3*g = -0*q - 40739, 2*g - 81454 = -4*q. Is q prime? False Suppose 10*w = 5*w + 40. Suppose 1226 = w*o - 6*o. Is o composite? False Suppose 1 + 1 = -2*h, -2*v - h = -3425. Suppose 0 = 27*w - 30*w + v. Is w composite? False Let f(q) = 2*q**3 + 7*q**2 + 13*q + 31. Is f(11) a composite number? True Let w(l) be the second derivative of 69*l**4/2 + l**3/3 - 7*l**2/2 + 6*l. Is w(-4) prime? False Let c be (-3)/(-2)*(4/(-6) + 0). Is 2*c/(4/(-878)) a composite number? False Suppose -7*o - 12 = -4*o. Let g be 1 + o - (-781)/(-11). Is 1*(-1)/2*g a composite number? False Let z = 3651 + -1973. Let n = -1107 + z. Is n a composite number? False Let y(v) = -657*v - 4. Let k = -88 - -85. Is y(k) a composite number? True Let q(m) = m**3 - 6*m**2 + 3. Suppose -6*a + g + 26 = -2*a, 40 = 5*a - 5*g. Let r be q(a). Is 47/((3/5)/r) prime? False Let q = -11 - -13. Suppose 2*u + 3*w + 117 = 5*u, 3*w + 83 = q*u. Suppose -2*h + 120 = u. Is h a composite number? False Let m(z) = -421*z - 14. Suppose 21 = 4*u - 7*u. Let h be m(u). Suppose 2*r = 5*p - h, -r - 2*r = -2*p + 1171. Is p prime? True Suppose 28769 = 2*j + 5*q - 6354, -4*j - q = -70273. Is j composite? False Suppose 162697 = -25*g + 44*g. Is g a composite number? False Let m = -155 - -151. Let l(x) = -3*x**3 + 3*x**2 - 6*x + 2
{ "pile_set_name": "DM Mathematics" }
b(a) = -6 - 6*a**2 - 2 + a**3 + 4*a + 2*a**2 + 4. Let s be 3*1/1 + 1. Give s*n(o) + 21*b(o). -3*o**3 Let n be -39*3/13*-1. Let v(u) = u**2 + 4*u - 4. Let x(g) = 2*g**2 + 9*g - 9. Calculate n*v(h) - 4*x(h). h**2 Let l(y) = y - 3. Let g(r) = r + 2. Determine -2*g(a) + l(a). -a - 7 Let l(k) = 118*k**2 + k + 2. Let v(i) = 234*i**2 + i + 5. What is 5*l(n) - 2*v(n)? 122*n**2 + 3*n Let f(z) = 9*z**3 + 5*z**2 + 25*z + 8. Let p(r) = 13*r**3 + 7*r**2 + 37*r + 11. Determine 7*f(s) - 5*p(s). -2*s**3 - 10*s + 1 Let f(j) = 5*j**2. Suppose -5*a = -2*o - 13, 5*o + 15 = 5*a - 10. Suppose 7*n - 6*n + a = 0. Let y(t) = t**2 - 1 + 1. What is n*f(i) + 4*y(i)? -i**2 Let i(f) = -40*f + 36*f + 7*f + 4. Let j(y) = -10*y - 13. Determine 14*i(w) + 4*j(w). 2*w + 4 Let u(s) = 386*s - 30. Let v(f) = 1930*f - 160. What is 16*u(g) - 3*v(g)? 386*g Let x = -45 - -179. Let h(y) = -y + x - 134. Let m(k) = 4*k + 1. What is 18*h(a) + 4*m(a)? -2*a + 4 Let y(r) = r**2 - 2*r + 1. Let p(g) = g**2 - 6*g + 1. Let x(l) = -l**2 - 7*l - 1. Let m(a) = -3*p(a) + x(a). Determine -2*m(q) - 11*y(q). -3*q**2 - 3 Let q(n) = -6*n**3 - 3*n**2 - 5*n - 8. Let c(h) be the first derivative of h**4/4 + h**3/3 + h**2/2 + h + 186. What is 5*c(l) + q(l)? -l**3 + 2*l**2 - 3 Let g(z) = 6*z**3 - 4*z**2 + 3. Let o = 13 + -17. Let t(y) = 17*y**3 - 11*y**2 + 9. Suppose 0*s - 4*s = -44. What is o*t(k) + s*g(k)? -2*k**3 - 3 Let t(j) = -j - 1. Let w(m) = -2*m**3 - 5*m**2 - 2*m + 1. Let h be w(-2). Let n(i) = 4*i + 6. Determine h*n(b) + 5*t(b). -b + 1 Let z(p) = -123*p + 1. Let y(c) = 244*c - 1. What is 3*y(x) + 5*z(x)? 117*x + 2 Let u be (2/(-5))/((-2)/10). Suppose 52*m - 56*m - 432 = 0. Let g = m + 107. Let s(d) = -4*d**3 + 2*d**2. Let k(n) = -n**3 + n. What is g*s(y) + u*k(y)? 2*y**3 - 2*y**2 + 2*y Let d(g) = 2*g - 3. Let i(s) = 38 + 6*s + s - 47 + s**2. What is 7*d(c) - 2*i(c)? -2*c**2 - 3 Let p(i) = i**2 - i + 1. Let y(z) = 7*z**2 - 2*z + 3. What is 6*p(q) - y(q)? -q**2 - 4*q + 3 Let n(h) = h**2 - 8*h - 50*h - 2 + 56*h. Let a(y) = -3*y**2 + 7*y + 7. Give -2*a(o) - 7*n(o). -o**2 Let j(f) = -f + 1. Suppose -3*y - 5*v - 11 = 2, 5*v + 33 = 2*y. Suppose -c = -y*c. Let n(s) = -3*s + 1 + 3 + c - 2. Calculate 5*j(d) - 2*n(d). d + 1 Let l(h) = h**3 + 7*h**2 - 6*h - 6. Let m(z) = 30*z**2 - z + 5. Let v(b) = -54*b**2 + b - 10. Let w(t) = -11*m(t) - 6*v(t). What is 5*l(p) + 6*w(p)? 5*p**3 - p**2 Let w(y) = -261*y**2 - 4*y + 4. Let o(f) = 259*f**2 + 5*f - 5. Determine 4*o(r) + 5*w(r). -269*r**2 Let h(v) be the second derivative of 13*v**5/20 - 11*v**4/12 + 2*v**2 + 11*v + 2. Let y(a) = -20*a**3 + 17*a**2 - 6. Calculate -8*h(d) - 5*y(d). -4*d**3 + 3*d**2 - 2 Let n(p) = -8*p**3 + 2*p**2 + 45*p + 4. Let c(a) = -15*a**3 + 4*a**2 + 90*a + 7. Give 6*c(l) - 11*n(l). -2*l**3 + 2*l**2 + 45*l - 2 Let v(n) = n**2 - 3*n - 1. Let a(o) = -59 + o**2 - 59 + 119 - 2*o**2 + 4*o. Give 4*a(c) + 5*v(c). c**2 + c - 1 Let l(p) = -2*p. Let g(s) = 306*s. What is -2*g(t) + 476*l(t)? -1564*t Let y(h) = -5863*h**3 + 33*h**2 + 33*h. Let i(o) = 733*o**3 - 4*o**2 - 4*o. Determine -33*i(t) - 4*y(t). -737*t**3 Let k be (13 + -7)/(2/3). Let h(r) = 3*r**2 - 9*r. Let x(g) = -g + 3. Let t(f) = 1. Let m(i) = -3*t(i) + x(i). Calculate k*m(b) - h(b). -3*b**2 Let w(y) = 5*y**3 + 5*y**2 + 9*y + 5. Suppose 8*j = 14*j - 18. Let k(n) = -2*n**3 - 3*n**2 - 5*n - 3. Determine j*w(f) + 5*k(f). 5*f**3 + 2*f Let f(l) = -9*l - 63. Let q(r) = -r - 1. Calculate -5*f(o) + 315*q(o). -270*o Let w(r) = r**2 - 2*r + 4. Let x be w(3). Let o(l) = -3*l**3 + 4*l**3 + l**3 + 4*l**3. Let v be 8/24 + (-10)/3. Let c(h) = 3*h**3. Determine v*o(p) + x*c(p). 3*p**3 Let p(r) = 16*r**2 - 15*r - 493. Let d(c) = 23*c**2 - 21*c - 739. Give -5*d(g) + 7*p(g). -3*g**2 + 244 Let f(k) = -2*k + 1. Let g(w) = 235*w. Calculate 2*f(i) + g(i). 231*i + 2 Suppose -6*t = -3*t - 15. Let y(d) = 3*d**3 - 4*d**2 + 4*d. Let p be (-10)/3*(-9)/6. Let i(w) = 0*w**2 + 5*w + 7*w**3 - 3*w**3 - p*w**2. Give t*y(n) - 4*i(n). -n**3 Let h(s) = -4*s + 4. Let c = -23 - -25. Suppose 2*y + c*u - 4*u - 10 = 0, 4*y - 20 = 2*u. Let d(i) = -7*i + 7. Let q = 6 + -9. Calculate q*d(l) + y*h(l). l - 1 Let d(o) = 5*o**2 - o - 4. Let s(z) = 1. Let t be (1 + -2)/(5 - 6). What is t*d(n) + 4*s(n)? 5*n**2 - n Let q(b) = 6*b - 13. Let d(f) = 5*f - 12. Suppose 4*k - 132 + 116 = 0. Calculate k*d(t) - 3*q(t). 2*t - 9 Let y(d) = 321*d**2 + 5*d - 15. Let r(k) = 642*k**2 + 9*k - 27. Give 5*r(l) - 9*y(l). 321*l**2 Let x(l) be the first derivative of -l**4/4 - l**2/2 - 812. Let s(m) = -14*m**3 + 3*m. Give -s(v) - 3*x(v). 17*v**3 Let o(b) = -16*b + 6. Let s(r) = -8*r. Let f(v) = 5*v + 1. Let n(m) = -5*f(m) - 5*s(m). What is -5*n(w) - 4*o(w)? -11*w + 1 Let t(l) = -314*l - 11. Let n(m) = 156*m + 5. What is -13*n(d) - 6*t(d)? -144*d + 1 Let r(x) = 9*x. Let d(w) = w + 151 - 151. Calculate 24*d(t) - 3*r(t). -3*t Suppose -1606*s + 22 = -1595*s. Let a(q) = -6*q + 14*q - 11*q. Let j(d) = 13*d. Give s*j(f) + 9*a(f). -f Let x(j) = -6671*j - 3*j**2 + 6669*j - j**3 + j**2. Let s(z) = -4*z**3 - 9*z**2 - 9*z. Let k be 12*-6*2/16. What is k*x(y) + 2*s(y)? y**3 Let d(c) = -4*c**2 + 3*c + 6. Let t(h) = -4*h**2 + 3*h + 1. Let w be t(-1). Let v(p) = -3*p**2 + 2*p + 5. What is w*v(x) + 4*d(x)? 2*x**2 - 6 Let g(u) = 4*u**3 - u - 1. Let c(x) = -59*x**3 + x + 1. What is c(a) + g(a)? -55*a**3 Let r(c) = -c**2 - 26. Let l(s) = s**2 + 12. What is 5*l(u) + 2*r(u)? 3*u**2 + 8 Let u(o) = o**3 + o**2 + o. Let c(l) = -3*l**3 + l**2 - 5*l + 7. Determine -c(i) - 2*u(i). i**3 - 3*i**2 + 3*i - 7 Let w(n) = -6*n**2 + 20*n + 2. Let t(q) = -3*q**2 + 10*q + 1. Determine -7*t(g) + 3*w(g). 3*g**2 - 10*g - 1 Let k(y) be the first derivative of 9*y**2/2 - y - 2384. Let q(j) = 19*j - 2. Suppose 2*z + 8 = 4*z. What is z*q(c) - 9*k(c)? -5*c + 1 Let z = -24 + 26. Suppose z*v = -3*v + 135. Let x(k) = 48*k**3 + 27*k**2 - 27*k. Let d(o) = -7*o**3 - 4*o**2 + 4*o. Determine v*d(c) + 4*x(c). 3*c**3 Let t(r) = -r + 6. Let g(n) = 1. Suppose -4*l = l - 15, 3*m - 2*l = 6. Let k(i) = i**3 - 5*i**2 + 6*i - 6. Let x be k(m). Calculate x*t(j) - 11*g(j). -2*j + 1 Let l(g) be the third derivative of -g**4/6 - 7*g**2 + 2*g. Let z(p) be the first derivative of 3*p**2/2 - 2. What is 2*l(m) + 3*z(m)? m Let g(c) = 8*c**3 - 6*c**2 + 6. Let h(a) = 7*a**3 - 5*a**2 + 6. Let o = -1123 - -1117. Give o*h(z) + 5*g(z). -2*z**3 - 6 Let d(k) = 126*k**3 - 4*k. Let r(l) = 129*l**3 - 3*l. Determine -2*d(o) + 3*r(o). 135*o**3 - o Let c(a) = 3*a**2 + 4*a + 12. Let m(i) = 3*i**2 + 5*i + 14. Calculate -7*c(w) + 6*m(w). -3*w**2 + 2*w Let f(l) = -6*l**2 - 2*l - 3. Let k(u) = 7*u**2 + 2*u + 4. Let b(n) = -n**3 + 15*n**2 + 52*n + 33. Let s be b(18). Calculate s*k(w) - 4*f(w). 3*w**2 + 2*w Let z(n) = 11*n - 11. Let s(u) = -12*u + 12. What is -5*s(m) - 6*z(m)? -6*m + 6 Let f(m) = 5*m**3 - 8*m**2 - 4*m. Suppose -52*z + 108 = -204. Let s(y) = 11*y**3 - 17*y**2 - 9*y. Calculate z*s(w) - 13*f(w). w**3 + 2*w**2 - 2*w Let l(v) = 5*v**2 - 13*v + 4. Let u(i) be the first derivative of -2*i**3/3 + 2*i**2 - i - 24. Determine -2*l(y) - 7*u(y). 4*y**2 - 2*y - 1 Let d(u) = 2*u**3 + 2*u**2. Let a(r) = -3*r**3 - 3*r**2. Let h = 84 - 76. Determine h*d(y) + 5*a(y). y**3 + y**2 Let t be 2 - (2 - 15) - 0. Suppose -6*p + 3 = -t. Let d(l) = -5*l**2 - 3 + 2 - 1. Let r(f) = 6*f**2 + 3. Determine p*d(u) + 2*r(u). -3*u**2 Let b(a) = -1. Let k(f) = 53*f + 583. Determine -1166*b(r) - 2*k(r). -106*r Let o(r) = -6*r + 1. Suppose 0 = -5*p - 0 - 20. Let m be 1/((-30)/(-24)) + 42/10. Let h(k) = -7*k + 1. Determine m*o(d) + p*h(d). -2*d + 1 Let x(q) = -3*q + 7. Let p(s) = 2*s - 6. Let k(j) = -j**2 + 5*j + 19. Let n be k(-3). What is n*p(i) - 4*x(i)? 2*i + 2 Let h(s) = -8*s + 4. Let v be 105/(-195) - 18/39. Let u(o) = -o - 1. What is v*h(c) - 2*u(c)? 10*c - 2 Let l(h) be the second derivative of 2*h**3/3 - 3*h**2/2 - 13*h. Let q(w) = -w. Let k(u) = -15*u + 16. Let c(s) = -k(s) - 6*q(s). Calculate -2*c(f) + 11*l(f). 2*f - 1 Let p(o) = 4*o**3 + 32*o**2 - 2*o - 23. Let c(f) = 11*f**3 + 96*f**2 - 6*f - 66. Determine 6*c(v) - 17*p(v). -2*v**3 + 32*v**2 - 2*v - 5 Let f(g) = 3*g**2 - 6*g + 2. Let r(c) = 2*c - 7. Let n be r(7). Let b(p) = -5*p**2 + 11*p - 3. Give n*f(q) + 4*b(q). q**2 + 2*q + 2 Let s(n) = -n**2 + n. Let y(k) = 24*k**2 - 22*k. Suppose -b + 10 + 6 = 0. Suppose b*w
{ "pile_set_name": "DM Mathematics" }