-1, 0, 1, 3
Let a be (-78)/65*(16 + -1 + -5)/(-3). Determine x so that -1/4*x**a - 1/2*x**3 + 1/2*x + x**2 - 3/4 = 0.
-3, -1, 1
Suppose 0 = 1514*a - 1516*a + 6. Let k be 276/(-90) - -2*2. What is z in -58/15*z**a - k*z**5 + 0 + 4/5*z**2 + 4*z**4 + 0*z = 0?
0, 2/7, 1, 3
Let i(o) be the first derivative of -o**5/60 - 13*o**4/12 - 169*o**3/6 - 19*o**2/2 - 2*o - 7. Let u(m) be the second derivative of i(m). Solve u(s) = 0.
-13
Let t = -166 - -233. Let c = 70 - t. Suppose -1 + 1 + 3*u**3 - 15*u + 9*u**2 + c*u = 0. What is u?
-4, 0, 1
Let c = -92 + 92. Suppose -14*i + 17 + 11 = c. Factor 6*b**2 - 13*b**2 + 6*b**i - b**4 + 3*b**3 + 5*b**2.
-b**2*(b - 4)*(b + 1)
Let i(r) be the first derivative of -5*r**6/6 + 12*r**5 - 145*r**4/4 - 70*r**3 + 3341. Solve i(q) = 0 for q.
-1, 0, 6, 7
Determine a, given that -139/4*a**2 - 35*a + 0 + 1/4*a**3 = 0.
-1, 0, 140
Let b = 470984 + -2354919/5. Let 4/5*l + b*l**2 + 3/5 = 0. What is l?
-3, -1
Factor -4/3*g**3 + 2592*g**2 - 1679616*g + 362797056.
-4*(g - 648)**3/3
Suppose -40*p - 14058 = -3138. Let s = p + 275. Factor -4/3 + 1/3*r**s + 0*r.
(r - 2)*(r + 2)/3
Let g(a) = -a**2 - 108*a - 1067. Let k be g(-11). Let h(d) be the third derivative of k - 1/16*d**4 + 0*d - 1/2*d**3 + 1/40*d**5 + 29*d**2. Factor h(r).
3*(r - 2)*(r + 1)/2
Let y(d) be the first derivative of -2*d**5/5 + 39*d**4/2 - 246*d**3 + 1269*d**2 - 2916*d - 9442. Let y(q) = 0. Calculate q.
3, 6, 27
Let f(h) be the third derivative of h**6/360 + 49*h**5/180 - 77*h**4/36 + 52*h**3/9 + 604*h**2. Factor f(t).
(t - 2)*(t - 1)*(t + 52)/3
Suppose -3*n + 12 = 3*n. What is t in 3384*t - 872 - 235*t**2 - 205*t**2 - 424 + 76*t**n + 10*t**3 = 0?
2/5, 18
Let p = 1997664/7 - 284640. Suppose -41472/7 + 3/7*o**3 + p*o - 216/7*o**2 = 0. Calculate o.
24
Let c be ((-553)/56 + 8)*-4*(-2)/(-40). Let b(m) be the first derivative of -24 - 1/4*m + c*m**2 - 1/4*m**3 + 1/16*m**4. Factor b(y).
(y - 1)**3/4
Suppose -2*k + 1231 = -l, k + l + 74 = 697. Let b = 2477/4 - k. Determine p so that -3/2 - 1/4*p**2 + b*p = 0.
2, 3
Let x = -684/203 - -106/29. Solve x*v**5 - 6/7*v + 0 - 8/7*v**4 + 8/7*v**2 + 4/7*v**3 = 0 for v.
-1, 0, 1, 3
Let z(r) = -r**3 - 299*r**2 - 6*r + 2. Let i be z(0). What is l in 14/5*l**2 - 12/5 - i*l**3 + 2*l - 2/5*l**4 = 0?
-6, -1, 1
Suppose 0 = 133*q - 316*q + 915. Let z(s) be the first derivative of 0*s + 0*s**3 - 1/14*s**4 + 24 + 2/35*s**q + 0*s**2. Factor z(g).
2*g**3*(g - 1)/7
Let l(h) = -2*h**2 - 32*h + 48. Suppose 17 = 18*f - 55. Let m(k) = k**2 + 15*k - 24. Let x(r) = f*l(r) + 7*m(r). Factor x(o).
-(o - 1)*(o + 24)
Let y(z) = -296*z + 1484. Let w be y(5). Let d(q) be the first derivative of w*q**2 - 4/7*q - 23 - 52/21*q**3. Solve d(v) = 0.
1/13, 1
Suppose 0 = -24*a + 22*a + 6. Suppose -8*b**3 - 5*b**3 - 11*b**3 + 8*b**2 - 2 + 19*b**a - b = 0. Calculate b.
-2/5, 1
Find c such that 1/5*c**2 + 8048569/5 + 5674/5*c = 0.
-2837
Factor 1/2*r**3 + 440*r**2 - 1/2*r - 440.
(r - 1)*(r + 1)*(r + 880)/2
Let y(c) = -4*c**2 - 4*c - 62. Let w(x) = 3*x**2 - 2*x - 1. Let s be (-2)/(-9) + (-180)/81. Let p(n) = s*y(n) - 4*w(n). Solve p(i) = 0.
-4, 8
Let w(x) = 3*x**2 - 4*x + 2. Let q(r) = 4*r + 21. Let z be q(-4). Let k(v) = 2*v**2 - 2*v + 1. Let a(f) = z*k(f) - 5*w(f). Factor a(c).
-5*(c - 1)**2
Let q be ((-24)/20 - -4)*5. Find k, given that k + q*k**4 + 8*k**5 + 61*k**3 + 3*k - 43*k**3 - 14*k**2 - 30*k**3 = 0.
-2, -1, 0, 1/4, 1
Let a(l) be the third derivative of -l**6/160 - 93*l**5/40 - 549*l**4/32 - 7*l**2 + 233*l. What is f in a(f) = 0?
-183, -3, 0
Let l(f) = 4*f**2 - 75*f + 81. Let h = 50 + -55. Let r(n) = -12*n**2 + 224*n - 244. Let x(t) = h*r(t) - 16*l(t). Find c such that x(c) = 0.
1, 19
Suppose 23*t = 13*t + 50. Find q, given that q**5 - 3965*q**4 + 44*q - 3*q**t + 126*q**3 + 3927*q**4 - 130*q**2 = 0.
-22, 0, 1
Let s = 22/5 - 14/5. Suppose 5*d + 5*u + 10 = -25, -d - 40 = 4*u. What is v in 4/5*v**d + 0*v - 16/5*v**2 - 2/5*v**5 + 0 + s*v**3 = 0?
-2, 0, 2
Let w = 6606763/495 - 13347. Let v = w + 332/495. Factor 2*g**3 + 0*g + 0 + v*g**2.
2*g**2*(3*g + 1)/3
Let a(b) be the third derivative of -14/17*b**4 + 0*b + 75*b**2 + 2352/17*b**3 + 1/510*b**5 + 0. Factor a(x).
2*(x - 84)**2/17
Let r(i) be the second derivative of -35/3*i**4 + 0*i**2 - i + 3 - 4/3*i**6 + 10*i**3 + 23/4*i**5 + 5/42*i**7. Factor r(w).
5*w*(w - 3)*(w - 2)**2*(w - 1)
Determine v so that 27*v**2 - 27 - 31*v**3 - 63346*v**5 + 27*v + 31669*v**5 + 31681*v**5 = 0.
-3, -1, 1, 3/2
Let x(l) be the third derivative of -7*l + 901/24*l**4 - 289/2*l**3 + 0 + 11*l**2 + 1/360*l**6 - 103/180*l**5. Factor x(a).
(a - 51)**2*(a - 1)/3
Suppose 3*z + 0*j - 4*j = -4, 3*z + 5*j = 5. Let v(p) = p**2 - 4*p + 16. Let c be v(z). Let -y**2 + c*y + 2*y**2 - 5*y**2 = 0. What is y?
0, 4
Let -32/3*t - 1/3*t**2 + 35 = 0. Calculate t.
-35, 3
Let w(n) be the first derivative of n**5/45 + 47*n**4/36 + 85*n**3/9 + 41*n**2/2 + 473. Factor w(q).
q*(q + 3)**2*(q + 41)/9
Let y be -17 - -18 - (18/15)/(-1). Let r = y - 101/55. Factor 2/11 + r*d + 2/11*d**2.
2*(d + 1)**2/11
Let m be 1/1 - (96 + -101). Suppose -2*d + 4 = 3*o, -2*d + m*d - o = 8. Factor -3/8*s**d - 3/4*s + 0.
-3*s*(s + 2)/8
Suppose 7*q = 3*y + 4*q - 417, y - 5*q = 155. Solve -t - 62*t - y + 65*t**3 - 62*t**3 + 3*t**2 = 0 for t.
-3, 5
Let q(o) = -23*o**3 + 55*o**2 - 15*o**2 + 50 - 2 - 52*o + 7*o**3. Let r(i) = 26*i**3 + i**2 - 13*i**3 + i - 14*i**3. Let d(t) = q(t) - 12*r(t). Factor d(f).
-4*(f - 3)*(f - 2)**2
Let q(r) be the first derivative of 0*r**5 + 0*r**2 + 0*r + 0*r**3 + r**4 + 62 - 1/6*r**6. Factor q(y).
-y**3*(y - 2)*(y + 2)
Let j be ((-11286)/1287)/(-57) + 14/78. Determine p, given that j*p**2 + 4/3*p - 5/3 = 0.
-5, 1
Suppose 4*i = 4*s - 16, 0 = -97*i + 41*i + 51*i. Suppose 17*o**2 - 25/3*o**3 - 43/3*o + 13/3 + 4/3*o**s = 0. What is o?
1, 13/4
Let d(l) = -26*l**4 + 900*l**2 - 20245*l + 118130. Let b(w) = 21*w**4 - 2*w**3 - 900*w**2 + 20246*w - 118129. Let g(q) = -15*b(q) - 12*d(q). Factor g(r).
-3*(r - 15)**3*(r + 35)
Suppose -3*i + 4*u = -25, 3*u + 4 - 1 = -3*i. Suppose -b = i - 6. Factor 423*q**2 + 625*q**4 + 7 - 1 - 478*q**4 + 93*q + 483*q**b.
3*(q + 1)*(q + 2)*(7*q + 1)**2
Let v(l) be the second derivative of -l**4/16 - 85*l**3/2 - 21675*l**2/2 - 28*l - 17. What is t in v(t) = 0?
-170
Let l(w) be the third derivative of w**5/180 - 187*w**4/36 + 740*w**3/9 + 21*w**2 + 2*w + 80. Factor l(u).
(u - 370)*(u - 4)/3
Let v(z) be the first derivative of z**4/18 + 44*z**3/27 - 541*z**2/9 + 1036*z/9 - 9945. Factor v(m).
2*(m - 14)*(m - 1)*(m + 37)/9
Let g(q) = q**3 + 17*q**2 + 4. Suppose -367*w - 8 = -371*w. Let l(y) = 4*y**3 + 68*y**2 + 18. Let j(h) = w*l(h) - 9*g(h). Determine b so that j(b) = 0.
-17, 0
Let t(z) = 9*z**4 + 5*z**3 - 47*z**2 + 23*z + 6. Let j(u) = -3*u**4 + u**3 - u**2 + u. Let o(s) = -2*j(s) + t(s). Determine f, given that o(f) = 0.
-2, -1/5, 1
Let x(b) = b**2 - 1. Let l(u) = -590*u**2 - 124*u - 431*u**2 - 15 - 414*u**2 + 294*u. Let a(f) = -l(f) + 10*x(f). Find m, given that a(m) = 0.
1/17
Let x(f) = -4*f**2 - 956*f - 4024. Let n(v) = -3*v**2 - 625*v - 2683. Let m(u) = 8*n(u) - 5*x(u). Factor m(q).
-4*(q + 7)*(q + 48)
Find a, given that 522*a**2 - 5*a**4 + 143*a - 10*a**3 - 502*a**2 - 103*a = 0.
-2, 0, 2
Let z(w) = -10*w + 112. Let l(x) = -3*x + 38. Let h be l(9). Let j be z(h). Find r such that -1/2 + 1/2*r**j + 0*r = 0.
-1, 1
Let f(i) be the third derivative of i**5/30 + 7*i**4/4 + 110*i**3/3 + 134*i**2 + i. Factor f(c).
2*(c + 10)*(c + 11)
Let j(z) be the second derivative of 3/2*z**3 + 24 - 1/10*z**5 + 2*z - 17/12*z**4 + 0*z**2. Factor j(w).
-w*(w + 9)*(2*w - 1)
Let u(t) be the first derivative of 14 + 40*t + 1/4*t**4 + 10*t**3 + 150*t**2. Let b(g) be the first derivative of u(g). Solve b(d) = 0 for d.
-10
Let v be (-9 - 4)/((-3)/(-15)). Let n be 1*39/v*(-40)/54. Factor -8/9*z - 4/9*z**2 + 0 + n*z**3.
4*z*(z - 2)*(z + 1)/9
Let z(a) be the second derivative of 5*a**4/48 + 259*a**3/24 - 13*a**2/2 + 2077*a. Factor z(q).
(q + 52)*(5*q - 1)/4
Let d(s) be the first derivative of s**3/3 + 432*s**2 + 1724*s - 11775. Factor d(i).
(i + 2)*(i + 862)
Suppose -160*b = -159*b - k - 13, 0 = 5*k + 30. Let i(z) be the third derivative of 0*z**4 + b*z**2 + 0 + 0*z + 1/420*z**6 + 0*z**3 + 1/420*z**5. Factor i(x).
x**2*(2*x + 1)/7
Let r be 6 - 295/(-118)*(66/(-15) + 2). Let