m**t + 7 - 21 = 0.
-3, 0, 2
Let t(w) be the third derivative of 0 + 30*w**3 - 5/2*w**4 + 0*w + 1/12*w**5 + 32*w**2. Suppose t(f) = 0. Calculate f.
6
Let y(k) be the first derivative of 2*k**3/5 + 12*k**2/5 + 21. Factor y(p).
6*p*(p + 4)/5
Let u(j) = j**3 - 8*j**2 + 10*j - 26. Let x be u(7). Let w be (-36)/20 + -2 - x. Factor -2/15*l**5 - 2/3*l**4 - w*l**3 - 14/15*l**2 + 0 - 4/15*l.
-2*l*(l + 1)**3*(l + 2)/15
Let v(t) = 16*t**4 - 41*t**3 + 17*t**2 + 5*t - 3. Let f(w) = 48*w**4 - 124*w**3 + 52*w**2 + 16*w - 8. Let j(c) = -3*f(c) + 8*v(c). Factor j(i).
-4*i*(i - 2)*(i - 1)*(4*i + 1)
Let w(a) = 12*a**2 - 7*a + 1. Let b(g) = 23*g**2 - 15*g + 3. Suppose 5*f + 52 = 3*h, 2*f + 4*h = f - 15. Let y(c) = f*w(c) + 6*b(c). Factor y(v).
(v - 1)*(6*v - 7)
Let f = 518 - 516. Let u(o) be the second derivative of 0*o**f + 1/12*o**4 + 0 - 1/3*o**3 + 4*o. What is j in u(j) = 0?
0, 2
Let b(j) be the third derivative of -j**7/315 - j**6/18 - 7*j**5/90 + j**4/2 + 516*j**2. Find h such that b(h) = 0.
-9, -2, 0, 1
Let j = -6 - -10. Suppose -u = -4*y + 6, -j*y + 8 = 4*u - 8. Determine c so that -4/5*c**4 + 12/5*c**3 + 4/5*c + 0 - 12/5*c**u = 0.
0, 1
Let n(h) be the second derivative of h**4/3 + 308*h**3 + 106722*h**2 + 710*h. Suppose n(x) = 0. Calculate x.
-231
Let n(y) = y**2 + 79*y - 792. Let f be n(9). Let f + 0*u - 2/7*u**2 = 0. Calculate u.
0
Let x(k) be the first derivative of -k**3/9 - k**2/2 - 2*k/3 - 44. Determine m so that x(m) = 0.
-2, -1
Let p(j) be the first derivative of 5*j**4/12 + 5*j**3/2 + 2*j - 8. Let q(i) be the first derivative of p(i). What is g in q(g) = 0?
-3, 0
Let i = 1470/2041 - -56/157. Factor i + 2/13*h**2 + 16/13*h.
2*(h + 1)*(h + 7)/13
Factor -2097*d**2 + 2092*d**2 - 530 + 570*d - 35.
-5*(d - 113)*(d - 1)
Suppose -45 = 157*a - 166*a. Factor 2/5*j**3 + 6/5*j**4 + 0*j + 0*j**2 - 8/5*j**a + 0.
-2*j**3*(j - 1)*(4*j + 1)/5
Let l(m) be the second derivative of -m**4/24 + 2*m + 11. Solve l(i) = 0 for i.
0
Factor -361 + 0*i**2 + 25*i - 10*i + 271 + 9*i + 2*i**2.
2*(i - 3)*(i + 15)
Let y(i) = 5*i**3 - 90*i**2 + 407*i. Let p(l) = -5*l**3 + 90*l**2 - 408*l. Let g(f) = -2*p(f) - 3*y(f). Factor g(c).
-5*c*(c - 9)**2
Let f be 279/930 - 58/60 - (-1 + -1). Factor -4/3*u + u**3 + 1/3*u**5 + 4/3*u**2 - f*u**4 + 0.
u*(u - 2)**2*(u - 1)*(u + 1)/3
Let 49/6*i**4 - 143/3*i**3 - 1/2*i**5 - 575/6*i + 125/6 + 115*i**2 = 0. What is i?
1/3, 1, 5
Factor 18*n + 135 + 3/5*n**2.
3*(n + 15)**2/5
Let t(u) be the third derivative of -u**7/210 + u**6/24 - 7*u**5/60 + u**4/8 - 690*u**2. Suppose t(o) = 0. What is o?
0, 1, 3
Factor 20*y**2 + 42*y + 64/3 - 2/3*y**3.
-2*(y - 32)*(y + 1)**2/3
Let h(z) be the third derivative of 0 + 1/2*z**4 - 38*z**2 - 3/2*z**3 + 1/30*z**5 - 1/210*z**7 + 0*z - 1/30*z**6. Determine w, given that h(w) = 0.
-3, 1
Let w be (7 + (-119)/28)*(-1)/(-11). Suppose 1/8*n**2 + w*n + 0 = 0. What is n?
-2, 0
Let w(y) be the second derivative of 0*y**2 + 5/8*y**4 + 0 + 1/5*y**6 - 3/5*y**5 - 1/4*y**3 - 9*y. Factor w(v).
3*v*(v - 1)*(2*v - 1)**2/2
Let b(r) be the second derivative of -r**8/13440 + r**7/2520 - 19*r**4/12 - 3*r. Let o(w) be the third derivative of b(w). Factor o(q).
-q**2*(q - 2)/2
Let z(s) be the second derivative of s**4/4 + 9*s**3/2 - 54*s**2 + 333*s. Determine c so that z(c) = 0.
-12, 3
Let r(b) be the third derivative of 2*b**7/105 - b**6/5 + 4*b**5/15 + b**4 - 10*b**3/3 + 262*b**2 - 1. Determine i, given that r(i) = 0.
-1, 1, 5
Let y(j) = 21*j**4 - 75*j**3 + 84*j**2 + 48*j. Let r(s) = 5*s**4 - 18*s**3 + 21*s**2 + 12*s. Let t(d) = -33*r(d) + 8*y(d). Let t(v) = 0. Calculate v.
-1, 0, 4
Suppose -w = -5, -w - 5 = 4*k - 162. Suppose 0 = 13*m + 6*m - k. Suppose -2/7*h**5 - 8/7*h**4 + 0 - 12/7*h**3 - 8/7*h**m - 2/7*h = 0. What is h?
-1, 0
Let t(o) = 3*o**2 + 148*o + 5494. Let v(u) = -16*u**2 - 740*u - 27479. Let n(c) = 11*t(c) + 2*v(c). Let n(z) = 0. What is z?
-74
Let v(r) be the second derivative of 3*r**5/20 - 4*r**4 + 77*r**3/2 - 147*r**2 + 225*r. Factor v(f).
3*(f - 7)**2*(f - 2)
Let h = -28/9 - -34/9. Let r(s) be the first derivative of -3*s**2 - 2 + 4*s + h*s**3. Factor r(o).
2*(o - 2)*(o - 1)
Let k = -341/6 + 1717/30. Factor k*x**2 + 4/5 - 6/5*x.
2*(x - 2)*(x - 1)/5
Let c(f) be the second derivative of 1/8*f**4 + 0 + 3/4*f**2 - 38*f - 5/8*f**3. Factor c(u).
3*(u - 2)*(2*u - 1)/4
Let z be (5/(-1))/(6 + -7). Let -135*m**3 + 7*m**z - 2*m**5 - 15625 + 1385*m**3 + 5854*m + 9771*m - 125*m**4 - 6250*m**2 = 0. What is m?
5
Let m(a) = 2*a**3 - a**2 - 1. Let j(c) = 13*c**3 + 15*c**2 - 22*c - 6. Let r(t) = -5*j(t) + 30*m(t). Suppose r(d) = 0. Calculate d.
-22, 0, 1
Let r = -3385 + 3385. Factor 1/2*i**4 - 1/2*i**2 - 1/2*i + 1/2*i**3 + r.
i*(i - 1)*(i + 1)**2/2
Factor -1/4 + 85/2*v**2 - 169/4*v.
(v - 1)*(170*v + 1)/4
Let z = -2 - -7. Solve 5*o - 5*o + 10*o - z*o**2 - 5 = 0 for o.
1
Find c, given that 0 + 320*c**2 + 128*c**3 - 76/5*c**4 + 0*c + 2/5*c**5 = 0.
-2, 0, 20
Let c(w) be the second derivative of w**4/24 - 4*w**3/3 + 16*w**2 + 13*w. Suppose c(z) = 0. What is z?
8
Factor -57/2*n**3 + 15*n**2 + 0*n + 12*n**4 + 0 + 3/2*n**5.
3*n**2*(n - 1)**2*(n + 10)/2
Let g be 2/(0 - 4/(-52)). Let -21*j - g*j**3 - 10*j + 9*j + 6*j**4 + 4 - 10*j**2 + 48*j**2 = 0. Calculate j.
1/3, 1, 2
Factor -1/7*i**3 + 0 + 0*i**2 + 1/7*i.
-i*(i - 1)*(i + 1)/7
Let v(s) be the first derivative of 3/2*s**2 + 1/3*s**3 + 3 + 0*s**4 - 1/30*s**5 + 0*s. Let z(q) be the second derivative of v(q). Factor z(d).
-2*(d - 1)*(d + 1)
Let b = 1864/27 - 3593/54. Factor 0 - b*q - 1/2*q**2.
-q*(q + 5)/2
Let i = -54 - -60. Suppose 2*f - 3 - 3 = h, -i = 4*h - 2*f. Factor -1/2*p**4 + 0 + h*p + 0*p**3 + 0*p**2 - 1/2*p**5.
-p**4*(p + 1)/2
Let a = -5 - -8. Let l(t) = 3*t**2 + 8*t + 2. Let g be l(-4). Solve g*n - 21*n**2 + 12*n - 6 - a*n = 0.
2/7, 1
Let l(w) be the second derivative of -w**6/120 + w**5/10 + 5*w**4/12 - 15*w + 1. Find x such that l(x) = 0.
-2, 0, 10
Let -j**4 + 24*j - j**2 - 8*j**3 + 21 - 3 - 3*j**2 - 6*j**4 + 9*j**4 = 0. What is j?
-1, 3
Let y(r) be the third derivative of -r**8/560 - r**7/280 + r**6/60 + 15*r**3/2 - 16*r**2. Let w(z) be the first derivative of y(z). Suppose w(o) = 0. What is o?
-2, 0, 1
Let q = 50 + -51. Let m = 1 - q. What is v in 2/9*v**m - 4/9 - 2/9*v = 0?
-1, 2
Let k = -12 + 15. Suppose k*s + 2 = 14. Find a such that -a**3 + 2*a**4 - 3*a**s + 3*a**3 - 9*a**2 + 8*a**2 = 0.
0, 1
Let q(v) = -v**2 - 2*v. Let j(o) = -2*o**2 + 2*o + 5. Let y(z) = j(z) - q(z). Factor y(r).
-(r - 5)*(r + 1)
Let u = 63909/2 + -31954. Let -5/2*x - 3 + u*x**2 = 0. Calculate x.
-1, 6
Let n = 90 - 57. Solve -38*q - q**2 - q**3 + n*q + 7*q**2 = 0 for q.
0, 1, 5
Let o(v) = -16*v - 108. Let q be o(-7). Determine s, given that -8/13*s**3 + 8/13*s - 8/13 + 38/13*s**2 - 30/13*s**q = 0.
-1, -2/3, 2/5, 1
Let r(c) be the third derivative of c**6/120 - 3*c**5/5 + 119*c**4/8 - 289*c**3/3 + 735*c**2. Factor r(s).
(s - 17)**2*(s - 2)
Let w(x) = 3*x**4 + 11*x**3 + 5*x**2. Let i(m) = -2*m**4 - 6*m**3 - 2*m**2. Let p(z) = -5*i(z) - 2*w(z). Factor p(v).
4*v**3*(v + 2)
Let r(w) = 7*w**3 - 12*w**2 - 3*w - 10. Let j(v) = v**3 - v**2 - 2*v - 1. Let i(y) = 30*j(y) - 5*r(y). Factor i(u).
-5*(u - 4)*(u - 1)**2
Let s(m) be the second derivative of -m**8/6720 - m**7/1260 - m**6/720 - 7*m**4/6 - 2*m. Let i(b) be the third derivative of s(b). Let i(z) = 0. What is z?
-1, 0
Let l(c) be the first derivative of 5*c**6/6 - 3*c**5 - 75*c**4/4 - 85*c**3/3 - 15*c**2 + 164. Suppose l(j) = 0. Calculate j.
-1, 0, 6
Let b(x) be the second derivative of -x**5/70 + 43*x**4/7 - 7396*x**3/7 + 636056*x**2/7 - x + 159. Factor b(d).
-2*(d - 86)**3/7
Let n(h) be the third derivative of h**6/240 - h**5/20 + 3*h**4/16 - h**3/3 + 2*h**2 - 15. Factor n(u).
(u - 4)*(u - 1)**2/2
Suppose 0 - 21/5*c**3 + 114/5*c**2 + 0*c = 0. Calculate c.
0, 38/7
Let q = 30438 - 30434. Suppose 3/5*z**5 + 36/5*z - 21/5*z**3 + 0*z**q + 24/5 - 6/5*z**2 = 0. What is z?
-2, -1, 2
Let o(a) be the third derivative of a**5/540 + 5*a**4/36 - 31*a**3/54 + 98*a**2. Suppose o(n) = 0. Calculate n.
-31, 1
Let f(c) be the second derivative of 1/8*c**4 + 1/40*c**5 + 1/4*c**3 + 1/4*c**2 + 0 + 33*c. Factor f(z).
(z + 1)**3/2
Let c(r) be the third derivative of 0*r + 0 + 1/132*r**4 + 0*r**5 - 1/660*r**6 - 24*r**2 + 0*r**3. Factor c(a).
-2*a*(a - 1)*(a + 1)/11
Let b(w) = -95*w**3 + 