derivative of t**5/5 - 5*t**4/2 - 4*t**3 + 5*t**2 + 11*t - 120. What is m in b(m) = 0?
-1, 1, 11
Let l = -4198 + 12596/3. Solve 0 + 2/3*r**3 + 2/9*r - 2/9*r**4 - l*r**2 = 0 for r.
0, 1
Let h(q) = q**4 - 48*q**3 + 574*q**2 - 4*q. Let t(z) = z**2 + 2*z. Let d(x) = -h(x) - 2*t(x). Suppose d(s) = 0. What is s?
0, 24
Let m = 115 + -15. Let j = -98 + m. Determine v so that 4/19*v + 0 - 2/19*v**j = 0.
0, 2
Let d(p) = 10*p**3 + 205*p**2 - 2210*p + 5. Let z(q) = 13*q**3 + 204*q**2 - 2211*q + 6. Let r(y) = 6*d(y) - 5*z(y). Factor r(x).
-5*x*(x - 21)**2
Let v(x) = -11*x**4 + 10*x**3 - 12*x**2 - 2*x. Let y(w) = -12*w**4 + 9*w**3 - 12*w**2 - 3*w. Let h(g) = -6*v(g) + 5*y(g). Factor h(n).
3*n*(n - 1)**2*(2*n - 1)
What is w in -152*w + 184*w + 5 - 27*w**2 + 7 - 92*w - 6*w**2 = 0?
-2, 2/11
Let c(l) = 2*l - 26. Let g be c(7). Let t be (g/22)/(-3) + (-420)/(-594). Factor 2/9*k**2 - 8/9*k + t.
2*(k - 2)**2/9
Let v(c) = -15*c**2 + 24*c - 25. Let m(x) = 57*x**2 - 96*x + 99. Let k(h) = -4*m(h) - 15*v(h). Factor k(y).
-3*(y - 7)*(y - 1)
Let s = -42 + 131. Suppose -s*v + 12 = -85*v. Find r, given that -2/3*r**2 + 2/3*r**4 + 4/3*r + 0 - 4/3*r**v = 0.
-1, 0, 1, 2
Determine a so that 27 + 4*a**3 - 107*a - a**3 + 21*a**2 + 185*a - 129*a = 0.
-9, 1
Let j be (7 + -1)*1 - (-364)/(-63). Determine b, given that j*b - 2/9*b**3 + 0 + 0*b**2 = 0.
-1, 0, 1
Let t be (-2 + -1)/1 + (-1080)/(-70) + -12. Solve -6/7*y + 3/7*y**2 + t = 0 for y.
1
Factor 14*k + 21*k - 6*k + 23 + k**2 - 4*k - k.
(k + 1)*(k + 23)
Suppose 3*z + 8*z = -38*z. Factor 0*c + 0*c**3 + 1/4*c**5 + 0*c**2 - 3/4*c**4 + z.
c**4*(c - 3)/4
Let t(s) = -4*s**2 + 4*s + 42. Let q(x) = 5*x**2 - 7*x - 43. Let y(f) = 2*q(f) + 3*t(f). Solve y(m) = 0.
-5, 4
Let n = 42 - 34. Suppose 10 = n*y - 14. Determine i so that 0*i**y + 0*i + 0 - 1/2*i**4 + 1/2*i**2 = 0.
-1, 0, 1
Let -22*d**2 - 56*d + 44*d**2 - 26*d**2 = 0. What is d?
-14, 0
Let t(c) be the second derivative of -c**8/1260 + c**6/90 - c**5/45 - c**3/3 - 3*c. Let n(p) be the second derivative of t(p). Factor n(h).
-4*h*(h - 1)**2*(h + 2)/3
Let w(q) = 3*q**3 + 4*q**2 - 5 + q + 12 - 9*q**3 + q**2. Let z(g) = 5*g**3 - 4*g**2 - g - 6. Let h(i) = -6*w(i) - 7*z(i). Determine k, given that h(k) = 0.
0, 1
Let r be 1/(-3) - (-13)/3. Let o(u) be the third derivative of 0*u**3 + 0*u**r + 1/40*u**6 + 0 + 1/10*u**5 + 0*u - 3*u**2. Solve o(x) = 0.
-2, 0
Let p = -388323 + 3499255/9. Let c = -482 + p. What is w in -2/9*w**2 + 16/9*w - 2/9*w**5 + c*w**4 - 8/9 - 14/9*w**3 = 0?
-1, 1, 2
Let t(c) be the first derivative of 3/25*c**5 - 1/5*c**2 - 4 + 1/30*c**6 + 0*c - 1/5*c**3 + 1/20*c**4. Factor t(z).
z*(z - 1)*(z + 1)**2*(z + 2)/5
Let -2601*z**2 - 136 + 1364*z**2 + 1589*z**2 - 196*z - 20*z**3 = 0. Calculate z.
-2/5, 1, 17
Factor -18*h**5 + 21*h**4 + 13*h**2 + 2*h**2 - 33*h**3 + 15*h**5.
-3*h**2*(h - 5)*(h - 1)**2
Let w(c) be the third derivative of 5*c**8/336 - c**7/6 - c**6/8 + 19*c**5/12 + 35*c**4/12 + 24*c**2 - 1. Suppose w(d) = 0. Calculate d.
-1, 0, 2, 7
Let j(k) = 5*k**2 + 12*k - 77. Let z(d) = 6*d**2 + 14*d - 77. Let f(p) = 5*j(p) - 4*z(p). Factor f(w).
(w - 7)*(w + 11)
Let g = 974/165 + -62/11. Let t(f) be the first derivative of g*f**3 + 1 + 8/5*f + 6/5*f**2. Find i such that t(i) = 0.
-2, -1
Let p(n) = n**3 - 2*n**2 - 3*n + 2. Let i be p(3). Factor 2*u**2 + i*u**4 - u**5 - 2*u + 3*u - 4*u**4.
-u*(u - 1)*(u + 1)**3
Suppose -3*a + 49 = 7. Let b = a + -9. Factor 10 - 7*n - 10*n**4 + b*n**5 + 2*n + 10*n**2 - 10.
5*n*(n - 1)**3*(n + 1)
Let n(s) be the third derivative of -9/10*s**3 + 1/25*s**6 - 9*s**2 - 1/350*s**7 + 0*s + 3/5*s**4 - 11/50*s**5 + 0. Factor n(j).
-3*(j - 3)**2*(j - 1)**2/5
Let y(x) = -4*x**5 - 6*x**4 - 16*x**3 + 5*x**2 + 19*x - 7. Let b(z) = z**5 + 2*z**4 + 5*z**3 - 2*z**2 - 6*z + 2. Let l(f) = -21*b(f) - 6*y(f). Factor l(q).
3*q*(q - 2)**2*(q + 1)**2
Suppose 56*i - 14 = -2*y + 57*i, 4*y - 16 = 5*i. Let u(p) be the second derivative of y*p + 0*p**3 + 0*p**2 + 0 - 1/12*p**4. Factor u(g).
-g**2
Let 0*d**4 + 6*d**2 - 6 - 13/2*d + 7*d**3 - 1/2*d**5 = 0. What is d?
-3, -1, 1, 4
Let 3/5*v**4 - 5*v**2 - 26/5*v - 8/5 - 4/5*v**3 = 0. Calculate v.
-1, -2/3, 4
Suppose -158*v - 18 = -a - 155*v, 4*a - 4*v = 32. Factor -4*o - 4/3 - 11/3*o**2 + 1/3*o**5 - 1/3*o**a + o**4.
(o - 2)*(o + 1)**3*(o + 2)/3
Let k(i) = -4*i**5 + i**4 + i**3 + i**2 - i + 1. Let n(s) = 23*s**5 - 4*s**4 - 26*s**2 + 25*s - 12. Let y(d) = -6*k(d) - n(d). Factor y(h).
(h - 2)*(h - 1)**3*(h + 3)
Let u(o) be the first derivative of 81*o**2 - 486*o + 1/6*o**4 - 6*o**3 - 3. Factor u(c).
2*(c - 9)**3/3
Factor -2990/9*y - 2116/9 + 272/9*y**2 - 2/3*y**3.
-2*(y - 23)**2*(3*y + 2)/9
Let v = 87 - 84. Suppose v*q + 2*q**2 - 9*q - 2*q - 6*q = 0. Calculate q.
0, 7
Let w(y) be the second derivative of -y**5/120 - 5*y**4/12 - 25*y**3/3 - 27*y**2/2 - 26*y. Let t(d) be the first derivative of w(d). Factor t(x).
-(x + 10)**2/2
Factor -154/15*k + 0 - 2/15*k**2.
-2*k*(k + 77)/15
Let n be (-57)/(-171) - 2/6. Solve -5/3 + n*w - 5/3*w**4 + 0*w**3 + 10/3*w**2 = 0.
-1, 1
Let t = 539/5 - 107. Let a be (-3)/11 - (-295)/275. Suppose 0*o**2 - 2/5 + 2/5*o**4 + t*o - a*o**3 = 0. What is o?
-1, 1
Let y = 5/16 + 3/16. Let n(c) be the first derivative of 0*c**2 - 5 - 1/3*c**3 + 0*c - 1/5*c**5 - y*c**4. Factor n(i).
-i**2*(i + 1)**2
Let d = -114 + 346/3. Let o(z) be the second derivative of 0*z**2 + 2/3*z**6 - d*z**3 + 2/5*z**5 - 5/3*z**4 - z + 0. Find x, given that o(x) = 0.
-1, -2/5, 0, 1
Let -20*k**3 + k**3 - 36*k - 3*k**3 - 60*k**2 - 5*k**3 - 3*k**4 = 0. Calculate k.
-6, -2, -1, 0
Factor 17672/9 + 376/9*y + 2/9*y**2.
2*(y + 94)**2/9
Let r = -118 + 164. Factor -2*w**2 + r*w - 7*w**2 + 4*w - 6*w**2 + 40.
-5*(w - 4)*(3*w + 2)
Let y(f) = -f**2 + 24*f + 29. Let q be y(25). Let n(u) be the second derivative of 0 + 0*u**2 - 1/12*u**q + 1/2*u**3 + u. Factor n(b).
-b*(b - 3)
Let m = 19/13 - 56/65. Find o, given that m*o**4 - 3/5*o**2 - 3/5*o + 0 + 3/5*o**3 = 0.
-1, 0, 1
Suppose 2*i + 50 = -16. Let p be (-138)/i + 2/(-11). Solve -5*z**4 + 4*z**2 + 8*z**3 - 2*z**2 - 5*z**p = 0.
-1/5, 0, 1
Let d(n) be the third derivative of -n**6/360 + 3*n**5/20 + 7*n**4/18 - 12*n**2 + 3. Factor d(v).
-v*(v - 28)*(v + 1)/3
Let s(l) be the third derivative of l**8/80640 + l**7/5040 + l**6/960 - 19*l**5/60 - 2*l**2. Let n(z) be the third derivative of s(z). Solve n(u) = 0.
-3, -1
Solve -2/9*h**2 + 4/3 + 10/9*h = 0 for h.
-1, 6
What is i in 980*i**2 + 112 - 701*i + 32 + 1437*i + 100*i**3 = 0?
-9, -2/5
Let t be (2 + 0)/(-10) + (-2)/(-10). Let n be (t + -2)/4*12/(-14). Factor -9/7*r + n*r**2 + 0.
3*r*(r - 3)/7
Let x(w) = w**2 - 20*w + 2. Let q(o) = 2*o**2 - 20*o + 3. Let z(d) = 2*q(d) - 3*x(d). Let z(i) = 0. Calculate i.
-20, 0
Let a(s) be the second derivative of -s**5/4 + 35*s**4/6 + 25*s**3/2 - 495*s. Factor a(p).
-5*p*(p - 15)*(p + 1)
Let x(f) be the first derivative of 1/4*f**4 + f**3 + f**2 - 7 + 0*f. Factor x(y).
y*(y + 1)*(y + 2)
Factor -35*i**3 + 13*i**4 - 9*i**4 + 31*i**3.
4*i**3*(i - 1)
Let n(r) be the third derivative of r**8/1848 - r**7/77 + 37*r**6/660 - 3*r**5/110 - 19*r**4/66 + 8*r**3/11 + 168*r**2. Find k, given that n(k) = 0.
-1, 1, 2, 12
Suppose -2*z = -2*i - z + 6, 4*i = -4*z. Determine m, given that -2*m**3 + m**5 - 51*m**4 + 100*m**4 - 1 - 50*m**4 + m + 2*m**i = 0.
-1, 1
Factor -69*p**2 + 246*p - 1647 + 35*p**2 - 3132 - 264 + 31*p**2.
-3*(p - 41)**2
Let s(c) be the first derivative of c**7/168 + c**6/72 - c**5/24 - 5*c**4/24 - 16*c**3/3 + 14. Let f(r) be the third derivative of s(r). Factor f(a).
5*(a - 1)*(a + 1)**2
Let q(n) be the third derivative of 5*n**8/336 + n**7/42 - n**6/24 - n**5/12 - 30*n**2 + 1. Determine c, given that q(c) = 0.
-1, 0, 1
Let d(h) = -26*h + 2*h**2 + 3*h - h**2 + 48 - 36*h. Let v(g) = 20*g - 16. Let i(q) = -4*d(q) - 11*v(q). Factor i(x).
-4*(x - 2)**2
Let v(p) = -p**3 + p**2. Let t(x) = 10*x**3 + 90*x**2 + 148*x + 40. Let y(q) = t(q) - 2*v(q). Factor y(c).
4*(c + 2)*(c + 5)*(3*c + 1)
Let k be 5 + -4 - (-4)/(680/3205). Let f = k - -45/17. Find w such that 25*w**4 - 15*w**3 - 5 + f*w - 15/2*w**5 - 20*w**2 = 0.
-1, 1/3, 1, 2
Let b(p) be the first derivative of p**5 + 25*p**4/4 + 10*p**3 - 53. Solve b(o) = 0.
-3, -2, 0
Find q, given that -1/4*q**2 + 1/4*q**4 - 3/4*q**5 + 0 - 1/2*q + 5/4*q**3 = 0.
-1, -2/3, 0, 1
Let l be -4*((-19)/(-