 - 2*i**3 + 16/5*i**2 + 0 - 8/5*i = 0.
0, 1, 2
Let x be (1 + -4)*(-64 + -241). Let n = -2729/3 + x. Determine c, given that -n*c + 16/3 - 4*c**2 + 4/3*c**4 + 8/3*c**3 = 0.
-2, 1
Let s(t) be the second derivative of -t**7/14 - 3*t**6/2 - 21*t**5/10 + 4*t + 148. Find b such that s(b) = 0.
-14, -1, 0
Factor -107/4*r**2 - 1/2*r**3 - 101/4*r + 105/2.
-(r - 1)*(r + 2)*(2*r + 105)/4
Let a(b) = -b**3 + b**2 + b - 6. Let k(j) = 8*j**3 - 2210*j**2 - 2208*j + 60. Let t(f) = -10*a(f) - k(f). Factor t(z).
2*z*(z + 1)*(z + 1099)
Let p be (12/(-10))/((-72)/180). Determine u so that 52*u**2 - 337*u**4 - 4 - 44*u - 303*u**4 + 44*u**p + 592*u**4 = 0.
-1, -1/12, 1
Let v(u) be the third derivative of u**6/80 - 17*u**5/40 + 9*u**4/2 + 1601*u**2. Factor v(x).
3*x*(x - 9)*(x - 8)/2
Let q(p) be the third derivative of -1/70*p**7 - 1/40*p**6 + 21/10*p**5 + 301*p**2 + 0*p**3 + 0*p**4 + 0*p + 0. Find v, given that q(v) = 0.
-7, 0, 6
Let o(t) = 9*t**3 + t**2 + 77. Let w(h) = -4*h**3 - 39. Let x(m) = 2*o(m) + 5*w(m). Let p(v) be the first derivative of x(v). Factor p(j).
-2*j*(3*j - 2)
Suppose -90/11 + 26/11*y**2 - 384/11*y = 0. Calculate y.
-3/13, 15
Let a(f) = -f**2 + 8*f - 9. Let i be a(3). Suppose 5*d + 14 = 2*h, i = -2*h + 4*h - d. What is v in -5*v**3 - 4*v - 3*v - 118*v**2 + 93*v**h - 13*v = 0?
-4, -1, 0
Let a(q) = -q**2 - 3. Let n(l) = -25*l**2 - 20271*l - 8136. Let b(k) = -10*a(k) + n(k). Solve b(o) = 0 for o.
-1351, -2/5
Let l(p) be the first derivative of 2*p**5/65 + 34*p**4/13 + 1672*p**3/39 - 11552*p**2/13 + 2377. Suppose l(v) = 0. What is v?
-38, 0, 8
Suppose 4*t = -3*k + 238, 2*t - 2*k = -0*k + 112. Factor 2*x + 3*x**2 - t + 58.
x*(3*x + 2)
Let j(l) be the second derivative of l**8/11760 + l**7/1960 + l**6/1260 - 11*l**3/3 + 32*l. Let a(b) be the second derivative of j(b). Factor a(c).
c**2*(c + 1)*(c + 2)/7
Let t(o) be the first derivative of -o**6/27 + 4*o**5/9 - 29*o**4/18 + 40*o**3/27 - 2570. Find h such that t(h) = 0.
0, 1, 4, 5
Let b(j) = j + 1. Let h(f) be the third derivative of f**5/15 + 4*f**4/3 + 38*f**3/3 + 115*f**2. Let x(q) = 8*b(q) + h(q). Factor x(t).
4*(t + 3)*(t + 7)
Let m(t) be the first derivative of -4*t**3/3 + 19*t**2 + 361*t - 36. Let x(l) = -l**2. Let j(c) = m(c) - 5*x(c). Factor j(b).
(b + 19)**2
Let a(z) be the second derivative of -20*z**4 + 1152*z**2 - 96*z**3 - 17/15*z**5 + 0 + 33*z - 1/45*z**6. Factor a(r).
-2*(r - 2)*(r + 12)**3/3
Let y(r) be the second derivative of r**5/80 - r**4/6 + 7*r**3/24 + 12039*r - 2. Factor y(x).
x*(x - 7)*(x - 1)/4
Let n = 788 + -785. Factor -79*p**4 - 2*p**2 + 6*p - 6*p**n + 37*p**4 + 40*p**4 + 4 + 0*p**3.
-2*(p - 1)*(p + 1)**2*(p + 2)
Factor -122*y + 2*y**2 - 6633812 + 38*y**2 + 6*y**3 + 6633848.
2*(y - 2)*(y + 9)*(3*y - 1)
Suppose 22*d - 65*d - 223 = -309. Let r(u) be the third derivative of 1/108*u**4 + 17*u**d - 1/54*u**3 + 0*u - 1/540*u**5 + 0. Find c such that r(c) = 0.
1
Let b(o) be the third derivative of o**7/1260 - o**6/80 + o**5/30 - 7*o**4/24 + 3*o**3/2 + 71*o**2 - 1. Let x(d) be the second derivative of b(d). Factor x(f).
(f - 4)*(2*f - 1)
Suppose 1 - 57 = 4*t - 2*b, 4*b - 22 = 2*t. Let u = t + 20. Suppose 60*k**u + 312*k**2 - 2*k**3 - 125*k - 51*k - 162*k**3 - 64*k**4 + 32 = 0. What is k?
-2, 2/5, 2/3, 1
Let o(f) be the third derivative of -f**5/20 - 385*f**4/4 - 148225*f**3/2 + 344*f**2. Let o(u) = 0. Calculate u.
-385
Let b be (-44)/(-8) - 2/4. Let c = 2 - -2. Suppose -1 + 8*w**2 - 5*w**4 + 3*w**c + 8*w**3 - 4*w - 4*w**b - 3 - 2*w**4 = 0. Calculate w.
-1, 1
Let t(c) be the first derivative of 11*c**5/80 - 13*c**4/16 + 15*c**3/8 + 2*c**2 + 52*c - 120. Let v(l) be the second derivative of t(l). Factor v(p).
3*(p - 1)*(11*p - 15)/4
Suppose 307*n = 313*n + 24. Let j be n*7/7 + 6. Factor -2/5*p - 4/5*p**j + 4/5 + 2/5*p**3.
2*(p - 2)*(p - 1)*(p + 1)/5
Let d(q) be the third derivative of q**7/1575 - 4*q**6/225 - 19*q**5/450 + 17*q**4/90 + 7204*q**2. Find c such that d(c) = 0.
-2, 0, 1, 17
Let t(l) be the second derivative of 20*l**6/9 + 2*l**5/3 + l**4/12 - 77*l**3/2 + 173*l. Let m(v) be the second derivative of t(v). What is r in m(r) = 0?
-1/20
Suppose -5*x - 2*g + 129 = -0*g, 2*x - 3*g = 63. Suppose x*s = 76 + 5. Factor i**2 + 1/3*i**4 + 1/3*i + 0 + i**s.
i*(i + 1)**3/3
Let m(u) = -2*u**2 - 7*u - 1. Let w(x) = -44*x**2 + 1880*x - 2036. Let v(z) = 20*m(z) - w(z). Let v(o) = 0. What is o?
1, 504
Let r(k) = 5*k - 32. Let z be r(7). Let v be 3 + (z + (0 - 7) - -3). Factor -12*o**v - 1 - 6*o**2 - 12*o**2 + 9*o**5 + 30*o + 46*o**3 - 33*o**4 - 21*o.
(o - 1)**3*(3*o - 1)**2
Let f(z) = -6*z**4 + 31*z**3 + 156*z**2 - 451*z + 240. Let j(l) = -l**4 - l**3 - 3*l**2 - l. Let v(o) = 3*f(o) - 15*j(o). Solve v(h) = 0 for h.
-6, 1, 40
Let a(q) be the third derivative of -q**8/112 + 3*q**7/14 - 11*q**6/40 - 47*q**5/20 + 9*q**4 - 14*q**3 + 782*q**2. Factor a(m).
-3*(m - 14)*(m - 1)**3*(m + 2)
Let v(b) = 11*b + 8. Let g be v(0). Determine d, given that 29*d**2 - 40 - 17*d**2 + 12*d - g*d**2 = 0.
-5, 2
Let k(w) = -3*w**4 + 1017*w**3 - 7332*w**2 + 14136*w + 72. Let t(p) = -p**4 + 407*p**3 - 2933*p**2 + 5654*p + 30. Let o(a) = -5*k(a) + 12*t(a). Factor o(y).
3*y*(y - 59)*(y - 4)**2
Solve 6294*g + 25171 + 23981 + 1954*g + 200*g + 363*g**2 = 0 for g.
-128/11
Suppose -3*d = 5*c - 79, -3*d + 83 = -4*c + 5*c. Determine x, given that 22 - 73 + 23 - d*x - 16*x**2 + 16 = 0.
-1, -3/4
Let x(o) be the second derivative of o**7/56 + o**6/5 - 39*o**5/80 - 2*o**4 + 9*o**3/2 - 1687*o. Determine h so that x(h) = 0.
-9, -2, 0, 1, 2
Let z(l) be the second derivative of l**4/24 + 23*l**3/12 + 19*l**2 + 3*l + 315. Find b, given that z(b) = 0.
-19, -4
Let b be 1*4*(-38)/(-76). Let n be 161/(-70)*b + 5. Factor n*h - 4/15 - 2/15*h**2.
-2*(h - 2)*(h - 1)/15
Let i(g) = -g - 1. Let u(y) be the second derivative of y**4/12 + 7*y**3/2 - 3*y**2 + y + 11. Let o(n) = 24*i(n) + 3*u(n). Solve o(c) = 0.
-14, 1
Let z be 26/(-91) - 16/(-7). Let x = 0 + z. Factor -q**3 - 4*q**3 - 12*q + 15*q**2 + x*q.
-5*q*(q - 2)*(q - 1)
Let x(f) be the third derivative of 1/12*f**5 + 15*f**2 + 0*f + 155/24*f**4 - 55*f**3 - 2. Suppose x(w) = 0. Calculate w.
-33, 2
Let p be 4235/15 + (-3)/9. Let v = p - 280. Suppose 0*r + 3/5*r**4 + 9/5*r**v + 3*r**3 - 3/5*r**5 + 0 = 0. What is r?
-1, 0, 3
Let c(m) = -m**3 - 27*m**2 - 152*m + 3. Let j be c(-19). Let q(l) be the first derivative of 0*l**j + 11 + 0*l**2 + 0*l + l**5 - 5/4*l**4. Factor q(v).
5*v**3*(v - 1)
Let q(m) be the third derivative of -m**5/300 - 31*m**4/120 + 11*m**3/5 + 9526*m**2. Factor q(c).
-(c - 2)*(c + 33)/5
Let j(p) be the first derivative of 28/5*p**3 + 68/5*p**2 - 39 + 2/25*p**5 + 11/10*p**4 + 16*p. Factor j(n).
2*(n + 2)**3*(n + 5)/5
Let m be (0*4/(-24))/(-2). Factor -1710 + 5*h**3 - 75*h + 1580 + 60*h**2 + m*h**3.
5*(h - 2)*(h + 1)*(h + 13)
Let u(k) be the first derivative of -158 - 1/28*k**4 + 23/14*k**2 + 22/21*k**3 + 0*k. Suppose u(h) = 0. Calculate h.
-1, 0, 23
Suppose 806*f - 167*f - 1474 = -98*f. Let -4*o**f - 3/2 + 11/2*o = 0. Calculate o.
3/8, 1
Let n(p) be the third derivative of p**8/47040 + p**7/5880 - p**6/504 - 37*p**4/24 + 2*p**2 - 45. Let v(z) be the second derivative of n(z). Factor v(d).
d*(d - 2)*(d + 5)/7
Determine c so that 2186*c - 4*c**2 + 0*c**2 - 2342*c - 680 = 0.
-34, -5
Suppose -2*z - 5*d - 16 = 0, -2*z - 5*d = 2*z + 12. Determine o so that 66*o - 108 - 12 - 2*o**z - 5*o**2 + 4*o**2 = 0.
2, 20
Factor 1/2*z**2 + 317*z - 635/2.
(z - 1)*(z + 635)/2
Let k(r) be the first derivative of 2*r**5/15 + 34*r**4/3 - 148*r**3/9 - 116*r**2 - 138*r + 10623. Suppose k(b) = 0. What is b?
-69, -1, 3
Solve -5/8*v - 3/4 + 1/4*v**2 + 1/8*v**3 = 0 for v.
-3, -1, 2
Factor 168*y**3 + 1912*y**2 - 1277*y - 221*y**5 + 42*y**4 + 125*y + 222*y**5 + 279*y**3 + 93*y**3 - 10368.
(y - 2)*(y + 4)**2*(y + 18)**2
Suppose -118*p + 2*y = -116*p + 8, -5*p - 16 = -4*y. Suppose -2*g**4 + 2*g**2 + p*g + 2/3*g**5 + 0 - 2/3*g**3 = 0. What is g?
-1, 0, 1, 3
Let o(f) be the first derivative of 11*f**6/8 + 7*f**5 + 141*f**4/16 - 29*f**3/6 - 21*f**2/2 + 2*f - 2462. Find p such that o(p) = 0.
-2, -1, 1/11, 2/3
Let m = -35/22 + 127/66. Let j(h) be the second derivative of 1/6*h**4 + 0 - 2*h**2 - 6*h - m*h**3. Determine r, given that j(r) = 0.
-1, 2
What is q in -7067*q**2 + 1943*q + 7832*q + q**4 - 9*q**4 - 671*q**3