90. Let t(w) be the third derivative of 0 - 1/270*w**5 + o*w - 4*w**2 - 1/108*w**4 + 2/27*w**3. Suppose t(q) = 0. What is q?
-2, 1
Let z(p) be the third derivative of p**7/840 + p**6/32 + 13*p**5/80 + 37*p**4/96 + p**3/2 - 43*p**2 - 6. Factor z(u).
(u + 1)**3*(u + 12)/4
Let h(v) be the third derivative of -v**7/30 - 3*v**6/40 + v**5/12 + 3*v**4/8 + v**3/3 - 52*v**2 - 2*v. What is q in h(q) = 0?
-1, -2/7, 1
Let a(d) be the third derivative of d**8/112 - 5*d**7/42 - 17*d**6/40 + d**5/12 + 2*d**4 + 10*d**3/3 + 143*d**2. What is h in a(h) = 0?
-1, -2/3, 1, 10
Let x(y) be the first derivative of -y**5/10 - 9*y**4/8 - 3*y**3 + 59. Find k such that x(k) = 0.
-6, -3, 0
Let l(f) be the third derivative of f**5/180 + 5*f**4/18 + 19*f**3/18 - f**2 + 82. Factor l(y).
(y + 1)*(y + 19)/3
Let f = 41 - 7. Let z be f/28 + ((-30)/21)/(-5). Factor 0*w**2 + 1 + 1/2*w**3 - z*w.
(w - 1)**2*(w + 2)/2
Let u(r) = -r**2 + r + 38. Let i be u(0). Let d be i/10 + -6*(-4)/(-8). Factor 4/5*a**2 - 6/5*a - d.
2*(a - 2)*(2*a + 1)/5
Let a(t) be the first derivative of -64*t**5/5 - 33*t**4 - 8*t**3/3 + 42. Solve a(k) = 0.
-2, -1/16, 0
Let w(z) be the second derivative of -z**6/90 - z**5/10 - z**4/4 - 2*z**3/9 + 93*z. Find y, given that w(y) = 0.
-4, -1, 0
Let w(v) be the third derivative of v**8/40320 - v**7/2520 + v**6/360 + v**5/20 + 8*v**2. Let m(c) be the third derivative of w(c). Factor m(a).
(a - 2)**2/2
Let k be (-9)/63 - 50/(-7). Suppose -3*x = -4*o - 10, -3*x = 4*o - 5*o - k. Find g, given that -14/5*g**5 + 52/5*g**4 + 32/5*g**x - 68/5*g**3 + 2/5*g - 4/5 = 0.
-2/7, 1
Let t(n) = n**2 + n + 3. Let o be t(0). Factor -m**5 + 5*m**5 + 42*m**2 + 73*m**o + 56*m**4 + 12*m**5 + 9*m.
m*(m + 1)**2*(4*m + 3)**2
Let k(q) be the third derivative of 0 + 0*q + 1/6*q**3 - 1/12*q**4 + 1/60*q**5 - 33*q**2. Determine p so that k(p) = 0.
1
Suppose 4*a = -2*d + 24, 18 = 4*d + 2*a - 0. Let q(w) be the second derivative of -2/5*w**3 + 0 - 1/30*w**4 - 9/5*w**d + 8*w. Factor q(s).
-2*(s + 3)**2/5
Find u such that -18 - u**3 + 5170*u**2 - 5163*u**2 + 3*u - u**3 = 0.
-3/2, 2, 3
Let k(h) be the third derivative of -1/110*h**5 + 0*h + 13*h**2 + 0 - 2/11*h**3 - 1/12*h**4. Suppose k(a) = 0. Calculate a.
-3, -2/3
Let v = -57 + -73. Let o be (6 + v/25)*(-70)/(-44). Let o*m**3 - 4/11 - 6/11*m**2 - 14/11*m + 10/11*m**4 = 0. Calculate m.
-1, -2/5, 1
Let b(y) = -y**3 + 4*y**2 + 15*y - 6. Let z be b(6). Solve 16*v**3 - 3*v**5 + 9*v**4 - z*v - 9*v**2 + 3*v**5 - 3*v**5 - v**3 = 0.
-1, 0, 1, 4
Let f(x) = 15*x**2 - 40*x + 75. Let c(b) = -2*b**2 + 1. Let l(w) = -5*c(w) - f(w). Let l(v) = 0. What is v?
4
Let p be (11 + -8 + -3)*1. Let j(l) be the third derivative of -1/40*l**6 + 0 - 3*l**2 - 1/630*l**7 + p*l**3 - 3/8*l**4 + 0*l - 3/20*l**5. Factor j(i).
-i*(i + 3)**3/3
Suppose -4*u - 5*j + 37 = -0*u, -u + 13 = 2*j. Suppose -4*h + 2*h**2 + 6*h**2 - 2*h**u + h**2 - 3*h**2 = 0. What is h?
0, 1, 2
Let r be (7 + (-681)/105)*28/3. Factor -21/5*x**3 - 12/5 + 57/5*x**2 - r*x.
-3*(x - 2)*(x - 1)*(7*x + 2)/5
Let s(n) be the second derivative of -2/5*n**3 - 1/100*n**5 + 3/2*n**2 + 1/10*n**4 + 5*n + 0. Let y(i) be the first derivative of s(i). Factor y(z).
-3*(z - 2)**2/5
Suppose -18 = -o + 2*u, o + o - u = 30. Let h be 1/((o/(-12))/(-7)). Factor -h*t**3 + 4*t**4 + 6 + t - 2*t**2 - 8 + 2*t + 3*t.
2*(t - 1)**2*(t + 1)*(2*t - 1)
Let x(o) be the third derivative of 0 - 2/105*o**7 + 0*o - 5/1848*o**8 - 2/33*o**5 + 0*o**3 - 1/33*o**4 - 1/20*o**6 - 5*o**2. Suppose x(j) = 0. Calculate j.
-2, -1, -2/5, 0
Let j(b) be the first derivative of 3*b**5/5 + 39*b**4/2 - 55*b**3 + 42*b**2 + 527. Factor j(k).
3*k*(k - 1)**2*(k + 28)
Let l(j) = -9*j**4 + 4*j**3 + 9*j**2 + 4*j + 4. Let g = 4 + -8. Let v(c) = -10*c**4 + 5*c**3 + 10*c**2 + 5*c + 5. Let a(z) = g*v(z) + 5*l(z). Factor a(n).
-5*n**2*(n - 1)*(n + 1)
Let j(u) be the second derivative of 0*u**4 - 4*u + 0 + 0*u**2 - 1/10*u**5 + 1/6*u**3 + 1/42*u**7 + 0*u**6. Find b such that j(b) = 0.
-1, 0, 1
Let l(c) be the third derivative of c**6/180 - 16*c**5/45 + 5*c**4/3 + 463*c**2. Factor l(f).
2*f*(f - 30)*(f - 2)/3
Let x(i) be the second derivative of i**8/6720 - i**7/504 + i**6/240 + 3*i**5/40 - 4*i**4/3 - 7*i. Let d(h) be the third derivative of x(h). Solve d(g) = 0.
-1, 3
Let d be (-1)/((-76)/24 - -3). Suppose 3*o + 3*r = d*r, -3*o = 2*r - 15. Factor 5*w**5 - 2*w**2 - 278*w**4 + 272*w**4 + 6*w**3 - o*w**5.
2*w**2*(w - 1)**3
Find c such that -2/13*c**3 - 26*c + 168/13 + 172/13*c**2 = 0.
1, 84
Let s(o) = -o. Let y be s(-6). Suppose 2*z - 4 = 2. Find c such that -c**4 + y*c**3 + 3*c - 10*c**z + 2 - c**2 + c**3 = 0.
-2, -1, 1
Let g(h) be the first derivative of h**6/6 + 7*h**5/10 - 9*h**4/8 - 11*h**3/3 - 2*h**2 - 79. Find z, given that g(z) = 0.
-4, -1, -1/2, 0, 2
Let l(n) be the third derivative of -n**5/60 - 7*n**4/6 + 10*n**3 + n**2 + 171. Determine w so that l(w) = 0.
-30, 2
Let x(l) be the first derivative of -l**4/24 - 10*l**3/9 - 77*l**2/12 + 121*l/3 + 109. Suppose x(a) = 0. What is a?
-11, 2
Let b(y) = 7*y**5 - 10*y**4 + 28*y**3 + 26*y**2 - 101*y + 56. Let w(j) = -j**5 - j**3 + j**2 + j - 1. Let s(l) = -b(l) - 6*w(l). Factor s(i).
-(i - 5)**2*(i - 1)**2*(i + 2)
Let i(o) = 64*o - 448. Let z be i(7). Suppose -1/3*c**5 + 2/3*c**4 + z + c**3 - 4/3*c**2 - 4/3*c = 0. What is c?
-1, 0, 2
Let t(k) be the first derivative of 8/27*k**3 + 2*k - 1/36*k**4 - 6 - 7/6*k**2. Factor t(f).
-(f - 3)**2*(f - 2)/9
Let b(p) be the first derivative of p**4/18 - 2*p**3/3 + 3*p**2 - 7*p - 8. Let h(n) be the first derivative of b(n). Factor h(l).
2*(l - 3)**2/3
Let x(n) be the first derivative of 3*n**5/25 - 3*n**4/20 - n**3/10 - 11*n + 10. Let w(d) be the first derivative of x(d). What is g in w(g) = 0?
-1/4, 0, 1
Let o(y) be the first derivative of y**6/780 - y**5/26 + 25*y**4/52 - 125*y**3/39 + 15*y**2/2 + 34. Let q(p) be the second derivative of o(p). Factor q(d).
2*(d - 5)**3/13
Suppose -4*y + 8 = -2*g - 0, y - 2 = -3*g. Let x(o) = -o**3 - o**2 + o + 2. Let m be x(0). Let -2*z**3 + m*z**y - 2 + 4*z + 1 + 1 = 0. Calculate z.
-1, 0, 2
Let b(f) be the third derivative of f**8/336 + f**7/70 - f**6/8 + 17*f**5/60 - f**4/4 + 39*f**2. Determine j, given that b(j) = 0.
-6, 0, 1
Let j be ((-6)/8)/((-60)/40). Let j*h**3 + h**2 - 3/2*h + 0 = 0. What is h?
-3, 0, 1
Factor 1/3*w**4 + w**2 + 4/3*w**3 + 0*w + 0.
w**2*(w + 1)*(w + 3)/3
Let t be (0/(-1))/(-54 + 56). Let n(k) be the second derivative of 0 - 6*k - 1/24*k**4 + t*k**3 + 1/4*k**2. Factor n(u).
-(u - 1)*(u + 1)/2
Let c(b) = 90*b**2 + 388*b - 131. Let l(w) = 17*w**2 + 78*w - 26. Let x(s) = 6*c(s) - 33*l(s). Determine g, given that x(g) = 0.
-12, 2/7
Let w(s) be the second derivative of s**6/2 + 3*s**5/10 - 20*s**4 - 16*s**3 + 148*s. Let w(u) = 0. Calculate u.
-4, -2/5, 0, 4
Let i(m) be the first derivative of 5*m**4 + 12*m**3 - 10*m**2 - 4*m + 2. Let a(z) = 60*z**3 + 107*z**2 - 59*z - 11. Let o(b) = -4*a(b) + 11*i(b). Factor o(h).
-4*h*(h + 2)*(5*h - 2)
Let g(r) be the third derivative of r**6/72 - r**5/24 + 11*r**3/6 - r**2. Let o(c) be the first derivative of g(c). Factor o(x).
5*x*(x - 1)
Let o(r) be the second derivative of -2*r - 1/24*r**6 + 0 + 5/6*r**3 + 1/8*r**5 + 35/48*r**4 + 0*r**2. Factor o(v).
-5*v*(v - 4)*(v + 1)**2/4
Let i be (6/(-5))/((-9)/10). Let m = 13713/4 - 123409/36. Factor -m*p**2 - i*p - 2.
-2*(p + 3)**2/9
Let d be 26/114 + 110/1045. Factor d*s + s**2 - 1/3*s**3 - 1/3*s**4 - 2/3.
-(s - 1)**2*(s + 1)*(s + 2)/3
Let p(c) be the third derivative of 0*c**3 - 23*c**2 + 0 + 1/132*c**5 + 1/120*c**6 + 0*c**4 + 1/330*c**7 + 1/3696*c**8 + 0*c. Suppose p(d) = 0. Calculate d.
-5, -1, 0
Suppose 2*p = 4*d - 4, -4 + 7 = 3*d + p. Suppose 0 = -2*s + 5 - d. Factor 15/7*n + 6/7 - 9/7*n**s.
-3*(n - 2)*(3*n + 1)/7
Suppose -131*f + 128*f - j + 2 = 0, -50 = -5*f + 5*j. Find i such that 0 + 0*i**4 + 58/17*i**f + 0*i**2 - 8/17*i - 50/17*i**5 = 0.
-1, -2/5, 0, 2/5, 1
Let b(k) be the first derivative of -19*k**4/2 + 148*k**3/3 + 8*k**2 + 37. Let b(i) = 0. What is i?
-2/19, 0, 4
Let v(n) = -n**3 - 13*n**2 - n - 7. Let m be v(-13). Find t, given that -10 - 45*t**2 - m*t + 22*t - 5*t**4 - 25*t**3 - 51*t = 0.
-2, -1
Solve -100 + 7*q + 47*q - 30*q**2 + 55*q**2 - 27*q**2 = 0.
2, 25
Let h(v) be the first derivative of -v**6/21 - 4*v**5/35 + v**4/14 + 4*v**3/21 - 154. Let 