1, 1
Let m be (-3)/(-33) - 24/(-84)*382/44. Suppose m*d**2 + 54/7*d + 54/7 + 2/7*d**3 = 0. Calculate d.
-3
Let m = 14518 - 290357/20. Let u(n) be the first derivative of -15/8*n**4 - 81/4*n**2 - 81/4*n - 9*n**3 + 29 - m*n**5. Determine j, given that u(j) = 0.
-3, -1
Let k(q) be the second derivative of -q**7/2940 + q**5/140 + q**4/42 + 27*q**3/2 - 31*q - 2. Let r(x) be the second derivative of k(x). Factor r(t).
-2*(t - 2)*(t + 1)**2/7
Factor -953*p - 589 + 345*p + 257*p - 3*p**2 - 101.
-3*(p + 2)*(p + 115)
Let s(z) = -13*z**3 + 5165*z**2 - 8539*z + 3416. Let y(n) = -2*n**3 + 738*n**2 - 1220*n + 488. Let o(v) = -4*s(v) + 29*y(v). Factor o(b).
-2*(b - 122)*(b - 1)*(3*b - 2)
Let p(c) be the first derivative of -c**3/3 + 9*c**2/2 - 15*c - 5. Let i be p(6). Let 0 + 0 - 85*j**4 - 20*j + 20*j**2 + 5*j**i + 80*j**4 = 0. What is j?
-2, 0, 1, 2
Find p, given that -25/3*p**5 + 10*p**4 + 20/3*p + 95/3*p**3 - 40*p**2 + 0 = 0.
-2, 0, 1/5, 1, 2
Let t(w) = w**2 - 7*w - 6. Suppose -30 = 12*f - 17*f. Let a(i) = -2*i - 1. Let u(q) = f*a(q) - t(q). Find c, given that u(c) = 0.
-5, 0
Let z(h) be the third derivative of h**8/1344 - 67*h**7/420 + 1451*h**6/160 + 1139*h**5/30 + 289*h**4/6 - 1598*h**2. Factor z(l).
l*(l - 68)**2*(l + 1)**2/4
Let y(f) be the second derivative of -3*f**5/80 - 5039*f**4/16 - 6350399*f**3/8 - 19036083*f**2/8 - 105*f + 1. Find c such that y(c) = 0.
-2519, -1
Let p(i) be the first derivative of 0*i + 145/8*i**2 - 44 - 15/16*i**4 - 215/6*i**3. Determine q, given that p(q) = 0.
-29, 0, 1/3
Suppose 6 = -v + 2, -4*j + 8 = 2*v. Factor -27*r**2 - r**3 + 8*r + 5*r**3 + 18*r**2 + 23*r**2 - 2*r**j.
-2*r*(r - 4)*(r + 1)**2
Factor 369800 + 2/9*l**2 - 1720/3*l.
2*(l - 1290)**2/9
Let h(f) be the second derivative of f**6/60 - 3*f**5/40 - 5*f**4/8 - 17*f**3/12 - 3*f**2/2 + 14*f - 7. Let h(s) = 0. What is s?
-1, 6
Suppose 5*j + 13*w = 10*w + 54, -2*w - 28 = -2*j. Factor 5*k**3 - 4*k - 10*k**2 - j*k - 2*k + 3*k.
5*k*(k - 3)*(k + 1)
Let t(r) be the third derivative of -r**8/1848 + 6*r**7/385 - 59*r**6/660 - 109*r**5/165 + 5*r**4/11 + 200*r**3/33 + 7408*r**2. Find y such that t(y) = 0.
-2, -1, 1, 10
Let x(m) be the second derivative of -m**8/15680 + m**7/5880 + m**6/840 - 13*m**4/12 - 2*m**2 + 21*m. Let u(r) be the third derivative of x(r). Factor u(t).
-3*t*(t - 2)*(t + 1)/7
Solve -34/7*v**3 - 24*v**2 - 3200/7 - 1/7*v**4 + 2080/7*v = 0 for v.
-20, 2, 4
Let r be ((-8 - 1) + (-2139)/(-279))*9/(-4). Let c(u) be the first derivative of 2/15*u**6 + 0*u - 1/5*u**4 + 0*u**2 + 4/15*u**r - 4/25*u**5 - 16. Factor c(j).
4*j**2*(j - 1)**2*(j + 1)/5
Let l = -1164 + 619. Let w be (5/2)/(l/(-436)). Let 1/4*f**w + 1/4 + 1/2*f = 0. Calculate f.
-1
Let d(h) be the first derivative of 3*h**5/25 - 13*h**4/4 + 86*h**3/5 + 576*h**2/5 - 864*h/5 - 745. Suppose d(l) = 0. What is l?
-3, 2/3, 12
Suppose 2/3*m**2 + 1/9*m**3 - 3*m - 140/9 = 0. Calculate m.
-7, -4, 5
Let r be ((-14)/105)/((200/(-36))/(-5)). Let d = 179/175 - r. Determine x, given that -d*x**2 - 4/7*x**3 + 4/7 + 4/7*x**4 + 2/7*x**5 + 2/7*x = 0.
-2, -1, 1
Suppose 46/17*s - 8/17*s**2 - 30/17 = 0. What is s?
3/4, 5
Let f(t) be the first derivative of 5*t**3 + 3*t**2 - 26 + 2*t**6 - 9/4*t**4 + 0*t - 24/5*t**5. What is m in f(m) = 0?
-1/2, 0, 1, 2
Let 32/7*s**4 - 128/7*s**2 + 40/7*s**3 - 13/7*s**5 + 0 + 48/7*s = 0. Calculate s.
-2, 0, 6/13, 2
Let f(b) be the third derivative of 363*b**8/56 + 319*b**7/35 - 32*b**6/15 + 2*b**5/15 - 2*b**2 + b - 295. Find s, given that f(s) = 0.
-1, 0, 2/33
Suppose -4*g = -5*l + 46, 13*g = -6*l + l + 63. Suppose l*r + 17 = 47. Solve -2/5*s**r + 2/5*s**2 + 2/5*s**5 + 0 - 2/5*s**4 + 0*s = 0.
-1, 0, 1
Suppose -45*r = -91 - 44. Suppose 4*l + 5*f - 2 - 31 = 0, -5*f = -5*l - 15. Factor 20*g**l - 15*g**2 - 2 - 6 + r.
5*(g - 1)*(g + 1)
Let i = -19 + 23. Let t(l) = -l**3 + 9*l**2 + 51*l + 57. Let w(u) = u**2 + u - 1. Let f(y) = i*w(y) + 4*t(y). Factor f(a).
-4*(a - 14)*(a + 2)**2
Factor -9 + 1/4*x**2 + 5/4*x.
(x - 4)*(x + 9)/4
Let i be (184/(-14) - -13)*0. Let 0*j + 12*j**2 + i + 45*j**4 + 27/2*j**5 + 42*j**3 = 0. Calculate j.
-2, -2/3, 0
Let u(n) be the first derivative of -n**6/360 + n**5/20 - 5*n**4/24 - 29*n**3/3 - 30. Let s(l) be the third derivative of u(l). Factor s(t).
-(t - 5)*(t - 1)
Let u(t) be the first derivative of -t**3/18 + 8*t**2 + 97*t/6 - 2861. Determine g so that u(g) = 0.
-1, 97
Let k = 0 - -2. Let n(f) = -f**3 - 23*f**2 + 3*f + 74. Let d be n(-23). Factor 2*y**2 - 4 + y**2 - 7*y - d*y**k + 13*y.
-2*(y - 2)*(y - 1)
Let o(g) be the first derivative of -2*g**5/5 - 5*g**4 + 122*g**3 + 1040*g**2 - 21632*g - 662. Factor o(f).
-2*(f - 8)**2*(f + 13)**2
Let m(r) be the first derivative of r**3/3 - 316*r**2 + 99856*r + 120. Factor m(v).
(v - 316)**2
Suppose -2*b + 866 = -2*w, 8*w - 2129 = -5*b + 4*w. Let 356*y**2 + 70*y + 16 + 215*y - 24*y**3 - 540*y**4 - b*y = 0. Calculate y.
-1, 2/9, 1/3, 2/5
Let k = 492568/3201523 - 2/246271. Factor 24/13*q - k*q**2 + 0.
-2*q*(q - 12)/13
Solve -q**3 + 2*q**3 + 4078*q - 3962*q + 156 + 21*q**2 = 0 for q.
-13, -6, -2
Suppose -9*t = -t - 112. Suppose 192*k = 199*k - t. Factor 0 + 0*m**4 + 4/3*m**5 - 4/3*m**3 + 0*m + 0*m**k.
4*m**3*(m - 1)*(m + 1)/3
Let -8*l + 2*l**4 - 200*l**5 - 6*l**2 + 110*l**5 + 22*l**4 + 97*l**5 + 19*l**3 = 0. Calculate l.
-2, -1, 0, 4/7
Find o such that -1233 - 2*o**2 + 896*o - 7*o**2 + 64*o + 523*o - 241 = 0.
1, 1474/9
Let v(d) = 3*d**3 - 10*d**2 - 6*d + 4. Let i be v(4). Factor 3*s**2 + 12*s**3 + 36*s**2 + 165*s - 9*s**3 + 49 + 68 + i*s**2.
3*(s + 1)*(s + 3)*(s + 13)
Let l(t) be the first derivative of -12*t - 7*t**2 + 134 + 1/2*t**4 + 0*t**3. Factor l(i).
2*(i - 3)*(i + 1)*(i + 2)
Let q(m) be the third derivative of -m**5/40 - 301*m**4/8 - 90601*m**3/4 + m**2 + 188*m. Let q(x) = 0. Calculate x.
-301
Let t(o) = 7*o**2 - 100*o - 11. Let a be t(14). Let r be (12/32)/(a/(-52)). What is d in -1/2*d**3 + 0*d - r*d**4 + 0 + 0*d**2 = 0?
-1, 0
Let y be 10 + 0 - 4 - 38180/95. Let q = 396 + y. Solve -q*j**2 + 0 + 2/19*j + 2/19*j**4 - 2/19*j**3 = 0.
-1, 0, 1
Suppose 8*q - 680 = 1704. Let a = 2088/7 - q. Factor a*m**2 - 2/7*m + 0.
2*m*(m - 1)/7
Factor -157669*a**3 + 78837*a**3 - 104*a**2 + 216 + 78836*a**3 - 116*a.
4*(a - 27)*(a - 1)*(a + 2)
Let f(h) = -13*h**2 - 6*h - 4. Let v(m) = -m**2. Let u(w) = -f(w) - 4*v(w). Let r(y) = -17*y**2 - 3*y - 4. Let k(l) = -5*r(l) - 6*u(l). Factor k(i).
-(i + 1)*(17*i + 4)
Let x(h) = h**4 + h**2. Let r(d) = 9*d - 74. Let n be r(8). Let k(t) = t**4 - 5*t**3 - 5*t**2 - 3*t. Let b(q) = n*x(q) + k(q). Factor b(j).
-j*(j + 1)**2*(j + 3)
Suppose -36 + 47 = 11*r. Let i be ((-15)/(-9) + r)/((-30)/(-9)). Let 2/5*g - i + 2/5*g**2 = 0. Calculate g.
-2, 1
Factor 382 + 34366*x**2 - 34363*x**2 - 84*x + 203.
3*(x - 15)*(x - 13)
Let r(j) = j**3 + 401*j**2 - 433*j - 12462. Let s be r(-402). Determine t so that s + 1/4*t**2 - 7/4*t = 0.
0, 7
Let m(u) = 3*u**2 - 12*u + 47. Let a(w) be the second derivative of w**4/12 + w**3/6 - w**2/2 - 76*w. Let f(d) = 6*a(d) - 3*m(d). Factor f(l).
-3*(l - 7)**2
Let y(o) = -346*o**3 + 102*o**2 + 401*o - 446. Let v(i) = 61*i**3 - 17*i**2 - 67*i + 74. Let m(b) = 34*v(b) + 6*y(b). Let m(j) = 0. Calculate j.
-4, 1, 20
Let c(w) be the third derivative of -w**6/60 + 26*w**5/5 + w**4/12 - 52*w**3 - 618*w**2. Suppose c(y) = 0. Calculate y.
-1, 1, 156
Let i(h) = 51*h**2 + 1428*h + 1461. Let s(x) = 5*x**2 + 143*x + 146. Let q(v) = 2*i(v) - 21*s(v). Let q(a) = 0. What is a?
-48, -1
Let u(h) be the first derivative of -3*h**5/25 + 23*h**4/20 - 28*h**3/15 - 6*h**2/5 - 9521. Solve u(d) = 0 for d.
-1/3, 0, 2, 6
Suppose 0 = 5*s - 29 - 31. Let -89*k**3 + 2*k**4 - 85*k**3 + 2*k**2 + 166*k**3 + s*k = 0. What is k?
-1, 0, 2, 3
Let x(p) = -13*p - 19. Let b be x(-2). Let -b + 7*s**2 + 6*s**2 - 5 - 8 + 2*s**2 - 5*s**3 = 0. What is s?
-1, 2
Let z = 1397 - 1434. Let r = -35 - z. Solve 2/3*v**3 - 10/3*v**r - 8/3 + 16/3*v = 0.
1, 2
Let b(q) = 2*q - 1. Let t(y) = -135*y - 2208. Let a(s) = 15*b(s) - t(s). Let j(g) = g**2 + 329*g + 4384. Let d(k) = 5*a(k) - 3*j(k). Factor d(w).
-3*(w + 27)**2
Let q(z) be the second derivative of -5/2*z**2 + 1/42*z**7 + 1/2*z**5 + 7/30*z**6 - 11/6*z**3 + 2 + 8*z - 1/6*z**4. Factor q(f).
(f - 1)*(f + 1)**3*(f + 5)
Let o(s) be the first derivative of -s**6/12 - 4*s**5/5 - 9*s**4/8 + 11*s**3