n**4 + 6*n. Let d(b) be the third derivative of t(b). Solve d(o) = 0.
-2, 0, 1/2
Suppose 0 = 3*b - 3, -4*b + 54 = 5*w - 0*w. Let y(j) = 6*j**3 + 5*j**2 - j - 5. Let i(o) = o**3 + o**2 - 1. Let v(p) = w*i(p) - 2*y(p). Factor v(t).
-2*t*(t - 1)*(t + 1)
Let t(n) be the second derivative of -6/7*n**2 + 3/14*n**4 + 5/14*n**3 + 0 + 5*n. Factor t(l).
3*(2*l - 1)*(3*l + 4)/7
Let f(v) be the third derivative of -2*v**7/105 - 13*v**6/30 - 19*v**5/15 + 11*v**4/2 + 637*v**2. Find i, given that f(i) = 0.
-11, -3, 0, 1
Let g(f) be the second derivative of f**7/70 - f**6/25 - 9*f**5/100 - 246*f. Factor g(c).
3*c**3*(c - 3)*(c + 1)/5
Suppose -13/3*o - 7/3 + 5/3*o**4 + 2/3*o**2 + 14/3*o**3 - 1/3*o**5 = 0. Calculate o.
-1, 1, 7
Suppose 9*k**4 - 8*k + 0*k**4 + 1212*k**2 + 7*k**5 - 1248*k**2 - 26*k**3 = 0. What is k?
-2, -1, -2/7, 0, 2
Factor 90*t**4 - 6 + 23*t**3 + t - 170*t**4 + 25*t**2 + 85*t**4.
(t + 1)**2*(t + 3)*(5*t - 2)
Suppose 2401/3 - 2303/3*w - 1/3*w**3 - 97/3*w**2 = 0. Calculate w.
-49, 1
Let n(t) = t + 1. Let w be n(-1). Let v(j) = -84*j**2 + 89*j + 1. Let f be v(1). Let 0*z**4 + w*z**4 + z**4 + z**3 + 3 - 4*z + 5 - f*z**2 = 0. Calculate z.
-2, 1, 2
Let c(m) be the second derivative of 1/9*m**3 - 1/54*m**4 + 0 + 0*m**2 + 8*m. Determine d so that c(d) = 0.
0, 3
Factor 54*i + 21 + 16 - 3*i**3 - 37 + 51*i**2.
-3*i*(i - 18)*(i + 1)
Let c be (-38 - (-5 + 4))/(6/34). Let d = 210 + c. Factor 0 + d*g**3 + 0*g**4 - 1/6*g + 0*g**2 - 1/6*g**5.
-g*(g - 1)**2*(g + 1)**2/6
Let u = 818/1345 - 56/269. Factor 6/5*s**2 + 0 - 8/5*s + u*s**3.
2*s*(s - 1)*(s + 4)/5
Let d(o) = -o**4 + o**2 + 1. Let z(w) = -3*w**4 - 9*w**3 - 28*w**2 - 44*w - 22. Let c(g) = 2*d(g) - z(g). Factor c(k).
(k + 2)**3*(k + 3)
Suppose -6*g = 4*g - 1720. Let b = 177 - g. Factor 1/3*v**3 - 1/3*v**b + 0*v - 1/3*v**4 + 0 + 1/3*v**2.
-v**2*(v - 1)*(v + 1)**2/3
Let h(t) = -8*t**2 + 11*t + 5. Suppose -148 = -4*x - 48. Let l(v) = -12 - 45*v - 9 + 21*v**2 - 13*v**2 + x*v**2. Let u(k) = 21*h(k) + 5*l(k). Factor u(q).
-3*q*(q - 2)
Let k(c) be the first derivative of 1/3*c**3 - 1/8*c**4 - 1/120*c**6 + 0*c**2 - 1/20*c**5 + 2 + 0*c. Let m(n) be the third derivative of k(n). Factor m(u).
-3*(u + 1)**2
Let t(k) be the first derivative of 2*k**5/35 - k**4/14 - 2*k**3/21 + k**2/7 - 66. Suppose t(z) = 0. What is z?
-1, 0, 1
Let y(w) be the first derivative of -8*w**5/25 + w**4/2 + 46*w**3/15 - 6*w**2/5 - 121. Determine r, given that y(r) = 0.
-2, 0, 1/4, 3
Let l(j) be the third derivative of -j**5/15 - 26*j**4/3 + 106*j**3/3 + 5*j**2 - 10. Factor l(z).
-4*(z - 1)*(z + 53)
Let n be (-147)/99 - (-15)/9. What is v in -2/11*v**2 + 0*v + n = 0?
-1, 1
Let n(v) be the third derivative of v**6/240 + v**5/120 - v**4/48 - v**3/12 - 43*v**2. Factor n(q).
(q - 1)*(q + 1)**2/2
Let l be 105/78 - (0 - 0). Let y = -1/78 + l. Factor -2*a**2 - 10/3*a - y.
-2*(a + 1)*(3*a + 2)/3
Let v(j) be the third derivative of j**8/1680 + 3*j**7/350 + j**6/120 - 29*j**5/300 - 7*j**4/20 - 8*j**3/15 + j**2 + 11. Factor v(z).
(z - 2)*(z + 1)**3*(z + 8)/5
Let i(n) = n**4 - n**3 + n**2 - 1. Let q = 17 - 13. Let p(b) = -4*b**5 + 4*b**4 + 4*b**3 + 4*b**2 - 4*b - 4. Let g(x) = q*i(x) - p(x). Solve g(m) = 0 for m.
-1, 0, 1
Suppose -8*r - 19 + 51 = 0. Let n(p) be the first derivative of -21/2*p**6 + 87/5*p**5 - 3*p**4 - 1 - r*p**3 + 0*p + 0*p**2. Find v, given that n(v) = 0.
-2/7, 0, 2/3, 1
Factor 21 - 10*x**2 + 11*x**2 - 9 + 12*x - 5*x**2 + 28.
-4*(x - 5)*(x + 2)
Suppose -273 = 3*d + 4*d. Let w = d + 61. Factor 11*p**3 - w*p**3 + p**4 + 13*p**3 + p**2.
p**2*(p + 1)**2
Let m(j) be the third derivative of -j**5/42 - 31*j**4/84 - 2*j**3/7 + 2*j**2 - 2. Factor m(c).
-2*(c + 6)*(5*c + 1)/7
Let q(x) be the third derivative of -x**4/6 + 2*x**3/3 + 39*x**2. Let m be q(1). Factor 0*j - 1/2*j**2 + 1/4 + 1/4*j**4 + m*j**3.
(j - 1)**2*(j + 1)**2/4
Let w(c) be the first derivative of 2*c**5/5 - 5*c**4 + 32*c**3/3 - 184. Find m, given that w(m) = 0.
0, 2, 8
Let l(g) = 7*g**5 - 2*g**4 - 11*g**3 + 12*g**2 + 6*g + 30. Let a(z) = -6*z**5 + 3*z**4 + 11*z**3 - 13*z**2 - 5*z - 25. Let c(x) = 6*a(x) + 5*l(x). Factor c(f).
-f**2*(f - 9)*(f - 1)*(f + 2)
Suppose -5*m = -m. Let u = 6437 - 12873/2. Let m*v + 1/8*v**2 - u = 0. Calculate v.
-2, 2
Let p(b) be the second derivative of b**4/18 + 7*b**3/36 - 11*b**2/12 + 3*b + 15. Solve p(u) = 0 for u.
-11/4, 1
Suppose 91*m - 357 = 7. Let n(d) be the second derivative of -1/16*d**5 + 0 + 5/4*d**2 + 3*d - 5/24*d**m + 5/24*d**3. Factor n(g).
-5*(g - 1)*(g + 1)*(g + 2)/4
Let o(h) be the first derivative of -h**6/60 - 3*h**2 + 4. Let y(v) be the second derivative of o(v). Solve y(d) = 0.
0
Suppose 0 = -5*u + 3*g + 26, 3*u - g - 3*g = 9. Let s(q) be the first derivative of u + 16/39*q**3 + 2/13*q + 2/13*q**4 + 5/13*q**2. Let s(b) = 0. What is b?
-1, -1/2
Let j be 76/(-13) - (-2 + (-168)/(-78)). Let l be (-36)/(-4)*(-2)/j. Suppose 0 - 14/5*r**l + 4/5*r - 2*r**2 = 0. What is r?
-1, 0, 2/7
Let j(c) be the third derivative of 0*c + 0 - 19*c**2 + 2/75*c**5 - 1/300*c**6 + 0*c**3 - 1/15*c**4. Factor j(q).
-2*q*(q - 2)**2/5
Let 0 - 48/11*l**2 + 62/11*l**3 + 48/11*l**4 - 70/11*l**5 + 8/11*l = 0. What is l?
-1, 0, 2/7, 2/5, 1
Let a = -99/10 + 1783/180. Let g(m) be the third derivative of -1/90*m**5 - 2*m**2 - 1/36*m**4 + a*m**6 + 0*m + 0 + 1/9*m**3. Factor g(c).
2*(c - 1)**2*(c + 1)/3
Let l(j) = -j**2 + 6*j - 2. Let y be l(5). Factor -9*q**2 - 3*q**y + 26*q + 22*q - 54*q.
-3*q*(q + 1)*(q + 2)
Let v(p) be the third derivative of p**8/168 - p**7/105 - p**6/12 + p**5/6 + p**4/3 - 4*p**3/3 + 7*p**2 + 9*p. Determine c so that v(c) = 0.
-2, -1, 1, 2
Let t = 1/240 - 6667/80. Let r = t - -84. Suppose -y**4 + 2/3*y**2 + 1/3 + r*y**3 + 1/3*y**5 - y = 0. Calculate y.
-1, 1
Suppose -3/2*l**4 + 15*l - 9/2 + 9*l**3 - 18*l**2 = 0. What is l?
1, 3
Let q = -160 + 160. Suppose q = 8*k - 10*k - 4*d, -2*d = 4. Factor 0 - 3*i**k - 1/5*i**2 + 0*i - 7/5*i**3 - 9/5*i**5.
-i**2*(i + 1)*(3*i + 1)**2/5
Find d such that 24*d**5 + 2*d**2 + 0*d**4 + 4*d - 6*d**3 - 2*d**4 - 22*d**5 = 0.
-1, 0, 1, 2
Let o(l) = -l**3 + 7*l**2 - l + 11. Let z be o(7). Suppose 0 = -z*a + 4 + 4. Factor -1/4*j**4 + 3/4*j**3 - 3/4*j**a + 0 + 1/4*j.
-j*(j - 1)**3/4
Factor -5/2*j**2 - 4*j**3 + 25*j + 0 - 1/2*j**4.
-j*(j - 2)*(j + 5)**2/2
Let j(x) be the second derivative of -x**6/15 + 3*x**5/10 + 5*x**4/6 - x**3 - 4*x**2 - 35*x. Factor j(p).
-2*(p - 4)*(p - 1)*(p + 1)**2
Solve 3*c - 18*c - 12*c**2 + 9*c + 14*c + 4*c**4 = 0 for c.
-2, 0, 1
Let c = -265 - -269. Let i = -128 + 131. Factor 0*z**2 + 1/3*z + 0*z**c + 0 - 2/3*z**i + 1/3*z**5.
z*(z - 1)**2*(z + 1)**2/3
Let -9*k**5 - 285*k**2 + 11737*k**3 + 249*k**4 + 81 - 11887*k**3 - 45*k**2 + 159*k = 0. Calculate k.
-1, -1/3, 1, 27
Let t(b) be the first derivative of 3*b**5 - 39*b**4/2 + 5*b**3 + 528. Suppose t(l) = 0. Calculate l.
0, 1/5, 5
Let u be 7 - 2 - 2 - -1. Let -60*x**2 - 28*x**4 - 3 + 13*x**3 + 27*x**u - 61 + 112*x = 0. What is x?
1, 4
Let g(b) be the second derivative of -3*b**4/2 + 26*b**3/15 + 8*b**2/5 - b - 31. Find j such that g(j) = 0.
-2/9, 4/5
Let p(z) be the second derivative of 3*z**7/112 - 7*z**6/240 - 29*z**5/160 + z**4/32 + 5*z**3/12 + z**2/4 - 4*z - 1. What is r in p(r) = 0?
-1, -2/9, 1, 2
Let d = -270 - -288. Let s be 0*((-8)/(-24) - 15/d). What is t in -14/3*t**4 + s*t + 32/3*t**2 + 0 - 16/3*t**3 - 2/3*t**5 = 0?
-4, 0, 1
Factor 2/5*v**4 + 0 + 28/5*v - 12/5*v**3 - 18/5*v**2.
2*v*(v - 7)*(v - 1)*(v + 2)/5
Let h(d) be the first derivative of -d**4/12 + 7*d**2/6 - 2*d - 583. Solve h(g) = 0.
-3, 1, 2
Let k(t) be the third derivative of t**6/1320 + 2*t**5/165 - 19*t**4/264 + 5*t**3/33 - 83*t**2. Solve k(y) = 0 for y.
-10, 1
Let v = 12913/4473 - -1/497. Let j = 41/9 - v. Find h, given that -13/3*h - 2 + j*h**2 = 0.
-2/5, 3
Let y(k) be the second derivative of -k**5/35 - 4*k**4/21 + 2*k**3 - 50*k - 2. Factor y(p).
-4*p*(p - 3)*(p + 7)/7
Let n(k) be the second derivative of 2*k**6/15 - k**5 - 2*k**4 + 64*k**3/3 + 64*k**2 - 2*k - 33. Factor n(j).
4*(j - 4)**2*(j + 1)*(j + 2)
Let -9/4*a**4 + 15/2 + 15/4*a**2 + 21/4*a**3 - 57/4*a = 0. What is a?
-5/3, 1, 2
Suppose -4*p + w = -19, -955*w + 9 = -4*p - 958*w. Find h such that 7/9*h**2 + 4/9*h**5 + 0 + 5/3*h**p + 1/9*h + 13/9*h**4 = 0.
-1, -1/4, 0
Let u = -1764 + 1766. Suppose 0*t**u + 5*t**3 + 0*t +