*2 - 29*z - 2*z**3 + 29*z - 698*z**2.
-2*z**2*(z - 29)
Let q(w) be the second derivative of w**6/270 + 5*w**5/36 + 14*w**4/9 + 8*w**3/3 + 377*w. Determine f so that q(f) = 0.
-12, -1, 0
Let w(b) be the third derivative of b**5/210 - 25*b**4/7 + 7500*b**3/7 - 6*b**2 - 77*b. Find m, given that w(m) = 0.
150
Let b(m) = -m**3 + 9*m**2 - 3*m + 23. Let z be b(7). Let s be 280/z - -1*3/15. Factor -5/2*t**4 + t**s + 5/2*t**2 + 0 - t.
-t*(t - 1)*(t + 1)*(5*t - 2)/2
Let n(v) be the first derivative of 2*v**5/55 - 6*v**4/11 + 52*v**3/33 + 12*v**2/11 - 54*v/11 - 540. What is k in n(k) = 0?
-1, 1, 3, 9
Let k(h) be the third derivative of 27*h**5/4 - 60*h**4 + 640*h**3/3 + 25*h**2. Suppose k(u) = 0. Calculate u.
16/9
Let g = 103991/13 - 7997. Factor -18/13 + 2/13*j**3 - 14/13*j**2 + g*j.
2*(j - 3)**2*(j - 1)/13
Suppose 0 = -50*p + 54*p - 12. Factor -7*i**p + 4*i**4 - 7*i**4 + 4*i**3.
-3*i**3*(i + 1)
Let x(i) be the third derivative of i**6/24 - 31*i**5/12 - 325*i**4/24 - 55*i**3/2 - 150*i**2. Factor x(c).
5*(c - 33)*(c + 1)**2
Let x(z) be the second derivative of -z**6/180 + z**5/15 + z**4/24 - 13*z**3/18 + 4*z**2/3 - 820*z. Let x(u) = 0. What is u?
-2, 1, 8
Let r(b) = -6*b**4 + 12*b**3 - 14*b**2 - 8. Let q(z) = -z**4 + z**3 - z - 1. Let o(h) = 8*q(h) - r(h). Factor o(k).
-2*k*(k - 1)**2*(k + 4)
Determine k, given that -408*k + 2*k**2 - 2679 + 15396 + 8091 = 0.
102
Let v(g) be the first derivative of g**4/4 - 5*g**3/3 + 2*g**2 - 37. Find y, given that v(y) = 0.
0, 1, 4
Let z = 6/29 - 77/232. Let v = 13/8 + z. Suppose -5/2*k**2 - v - 7/2*k - 1/2*k**3 = 0. Calculate k.
-3, -1
Let h = 21837 + -21834. Factor -2/5*t**4 + 2/5*t**2 + 0 + 1/5*t - 1/5*t**5 + 0*t**h.
-t*(t - 1)*(t + 1)**3/5
Let l = 16 - 15. Let h be (-1 - -1)/(-2 - l). Factor -16 + h*a**2 + 10*a - a**2 + 0*a**2 - 2*a.
-(a - 4)**2
Let b(j) be the third derivative of j**6/200 + 11*j**5/300 + j**4/10 + 2*j**3/15 - 8*j**2 + 5. Factor b(v).
(v + 1)*(v + 2)*(3*v + 2)/5
Let k be (-2)/(((-4)/6)/(116/87)). Solve 4/5*b - 1/5*b**k + b**3 + 0 - 8/5*b**2 = 0 for b.
0, 1, 2
Let t(u) be the third derivative of 1/15*u**5 - 2*u**2 + 0 + 0*u**3 + 0*u - 1/6*u**4 + 1/30*u**6 - 2/105*u**7. Determine j, given that t(j) = 0.
-1, 0, 1
Suppose -516*r + 5*d + 20 = -511*r, 4*r + 3*d + 12 = 0. Factor 0*b + 2/7*b**4 + r*b**3 - 2/7*b**2 + 0.
2*b**2*(b - 1)*(b + 1)/7
Let m = 30 - 24. Let u be (4 + -4 - 0) + 6. Determine t, given that -3*t**2 + u*t**5 - 12*t**3 + m*t + 3/2*t**4 + 3/2 = 0.
-1, -1/4, 1
Let r(s) be the second derivative of s**5/270 + 7*s**4/108 - 21*s**2 - 35*s. Let m(g) be the first derivative of r(g). Factor m(z).
2*z*(z + 7)/9
Solve 10*w**2 - 52*w - 4 + 10*w**2 + 29 - 53*w = 0.
1/4, 5
Let i(n) be the second derivative of 7*n**5/40 + 3*n**4/4 - 37*n**3/12 + 3*n**2 + 453*n. Find p, given that i(p) = 0.
-4, 3/7, 1
Let i(v) = v**2 + 14*v - 48. Let u be i(3). Determine p so that 0*p**2 + 0 - 3/4*p**u + 0*p = 0.
0
Let n(m) be the first derivative of -m**4/6 + 4*m**3/3 + 64. Find b such that n(b) = 0.
0, 6
Let d(c) = c**5 + c - 2. Let i(v) = 100*v**5 + 65*v**4 - 270*v**3 + 60*v**2 + 35*v + 10. Let a(t) = 5*d(t) + i(t). What is j in a(j) = 0?
-2, -2/7, 0, 2/3, 1
Let q be -10 + 11 - (-3)/1. Suppose -m - d = 0, q*m - 4*d - 36 = d. Factor -2*c**3 + c**2 + c**2 - m*c**2.
-2*c**2*(c + 1)
Suppose 9*q - 35*q = 12*q. Suppose -1/7*i**4 + q + 1/7*i**2 + 2/7*i**3 - 2/7*i = 0. What is i?
-1, 0, 1, 2
Let i be (1 - 9)*(-4)/144. Factor -2/9*r**3 - 2/9*r**4 + 2/9*r**2 + 0 + i*r.
-2*r*(r - 1)*(r + 1)**2/9
Suppose -15*f = -24*f + 45. Solve -20*l**2 - 6*l**3 + f*l**3 - 10*l**2 - 4*l**3 = 0 for l.
-6, 0
Let l(k) be the second derivative of 3*k**4 + 0*k**2 - 9/10*k**5 - 11*k + 1/10*k**6 - 4*k**3 + 0. Suppose l(i) = 0. What is i?
0, 2
Suppose -30 + 32 = s. Factor -12*c + 6*c**4 + 9*c**2 - 20*c**3 - 20 + 15*c**s + 22.
2*(c - 1)**3*(3*c - 1)
Suppose -q = 2 - 4. Let o(v) = 3*v**2 - 1. Let p(t) = -t**2 + t - 1. Let g(s) = q*p(s) + o(s). Let g(h) = 0. Calculate h.
-3, 1
Let s = -303 + 305. Suppose 0*i + 0 + 1/6*i**3 + 1/6*i**s = 0. Calculate i.
-1, 0
Let p(y) be the second derivative of 81*y**7/28 + 279*y**6/20 + 42*y**5/5 + 3*y**4/2 - 48*y. Suppose p(a) = 0. What is a?
-3, -2/9, 0
What is v in 2/13*v**3 + 36/13*v - 38/13*v**2 + 0 = 0?
0, 1, 18
Let u(k) be the third derivative of k**7/840 + k**6/240 - k**5/20 - k**4/3 - 2*k**2. Let w(d) be the second derivative of u(d). Find b, given that w(b) = 0.
-2, 1
Let a(b) be the second derivative of -b**6/15 + 36*b**5/5 - 324*b**4 + 7776*b**3 - 104976*b**2 - 84*b. Factor a(c).
-2*(c - 18)**4
Suppose -8*u = -4*u - 20. Suppose 0 = -5*b - 0 + 5. Solve -3*n - 7*n**2 + u + n**2 + 3*n**2 + b = 0.
-2, 1
Factor -23/2*p**2 + 0*p + 0 - 1/4*p**4 + 47/4*p**3.
-p**2*(p - 46)*(p - 1)/4
Let d(v) be the second derivative of -v**7/14 - v**6/5 + 3*v**5/4 + 5*v**4/2 - 2*v**3 - 12*v**2 - v - 235. Solve d(x) = 0.
-2, -1, 1, 2
Let c be ((-10)/(-12) - 1)*-1. Let f(b) be the first derivative of -1/6*b**3 + 3 - 1/3*b**2 - c*b. Let f(g) = 0. Calculate g.
-1, -1/3
Let a(i) = -i**2 + 4*i + 165. Let d be a(0). Let q = -1813/11 + d. Factor 0 + 0*t - 2/11*t**3 + 0*t**2 + 0*t**4 + q*t**5.
2*t**3*(t - 1)*(t + 1)/11
Let j(h) be the third derivative of h**6/2340 + h**5/260 + h**4/78 + 2*h**3 + 21*h**2. Let y(r) be the first derivative of j(r). Factor y(q).
2*(q + 1)*(q + 2)/13
Factor 1/5*g**4 + 2/5*g**3 - 4/5 - 3/5*g**2 - 8/5*g.
(g - 2)*(g + 1)**2*(g + 2)/5
Let i(h) be the first derivative of -5*h**4/4 - 5*h**3 - 2*h + 47. Let x(o) = -1. Let d(q) = -i(q) + 2*x(q). Factor d(b).
5*b**2*(b + 3)
Let r(k) = 6*k**3 + 92*k**2 - 286*k + 200. Let s(y) = -7*y**3 - 92*y**2 + 285*y - 201. Let x(o) = 5*r(o) + 4*s(o). What is c in x(c) = 0?
-49, 1, 2
Let p(u) be the first derivative of 5*u**2 + 0*u - 15/4*u**4 - 5/3*u**3 + u**5 + 5/6*u**6 - 16. What is z in p(z) = 0?
-2, -1, 0, 1
Let u(r) be the third derivative of -r**5/90 - 5*r**4/36 - 4*r**3/9 - r**2 + 37. What is c in u(c) = 0?
-4, -1
Let h(s) be the first derivative of 2*s**6/15 - 22*s**5/25 - 7*s**4/10 + 4*s**3/5 - 62. What is y in h(y) = 0?
-1, 0, 1/2, 6
Suppose -2*v + x = -v - 8, -v + 8 = 4*x. Suppose 16 = 8*b - v. Let -2/17*c**2 + 4/17*c - 2/17*c**b + 0 = 0. Calculate c.
-2, 0, 1
Let p = 94 - 80. Solve -32*b + 8*b + p + 4*b**2 - 12 + 18 = 0.
1, 5
Factor 3*n + 9/5*n**3 + 0 - 27/5*n**2 + 3/5*n**4.
3*n*(n - 1)**2*(n + 5)/5
Suppose -13*v + 5*q = -16*v - 19, q = -5*v + 5. Find w such that 14/3*w**v - 14/3*w**4 + 0 + 8/3*w**5 + 4/3*w - 4*w**3 = 0.
-1, -1/4, 0, 1, 2
Let p = 9/112 + 3/28. Let o(v) be the first derivative of -3/4*v**3 + 0*v**2 + 4 + 0*v + p*v**4. Determine k, given that o(k) = 0.
0, 3
Find u such that -56*u**4 + 450*u - 31*u**3 + 840*u**2 - 154*u**3 + 2*u**5 + 517*u**3 = 0.
-1, 0, 15
Factor 30*b**5 - 3*b**5 + 3*b**3 - 30*b**5.
-3*b**3*(b - 1)*(b + 1)
Solve 0 - 69/2*z**3 + 33*z - 27/2*z**4 + 3/2*z**5 + 27/2*z**2 = 0 for z.
-2, -1, 0, 1, 11
Let h(x) = -18*x**2 + 93*x + 83. Let m(d) = -15*d**2 + 93*d + 84. Let j(n) = -6*h(n) + 7*m(n). Factor j(k).
3*(k + 1)*(k + 30)
Let u = 1 + 2. Suppose 2 + 10 = u*j. Let 4*r + 12*r**3 - 19*r**4 + 16*r**2 + 2*r + 19*r**j - 2*r**5 = 0. What is r?
-1, 0, 3
Let z = 40016 + -40016. Suppose 4*q - 4 = -5*v, 0 = v + 2*v - 2*q + 2. Factor z - 2/13*y**3 + v*y**2 + 8/13*y.
-2*y*(y - 2)*(y + 2)/13
Factor 40*l**3 - 18*l - 16*l**3 - 37*l**2 + 76*l**2.
3*l*(l + 2)*(8*l - 3)
Let n(c) = -7*c**3 + 50*c**2 - 300*c + 476. Let d(m) = m**3 + m**2 + 3*m + 1. Let v(i) = 4*d(i) + n(i). Determine j so that v(j) = 0.
4, 10
Let p be ((-1 - (-1)/3)*1)/(-2). Let t(s) be the second derivative of 0 - p*s**3 + 2*s**2 - 1/6*s**4 + 5*s. Suppose t(f) = 0. Calculate f.
-2, 1
Let m(w) be the third derivative of -11*w**5/10 + 17*w**4 - 1156*w**3/11 + 118*w**2 - 1. What is f in m(f) = 0?
34/11
Let g = 543 - 536. Let t(s) be the second derivative of -1/10*s**6 - s + 1/7*s**g + s**3 + 0*s**2 - 1/4*s**4 - 9/10*s**5 + 0. Suppose t(l) = 0. What is l?
-1, 0, 1/2, 2
Factor i - 2*i**2 - 2*i**2 + 0*i**2 + 192*i**3 - 193*i**3 + 4.
-(i - 1)*(i + 1)*(i + 4)
Factor -4/9*g**4 + 0 - 2/9*g**5 + 4/9*g**2 + 0*g**3 + 2/9*g.
-2*g*(g - 1)*(g + 1)**3/9
Let -5*s**2 + 15*s + 20*s**2 - 7*s**2 - 20 + 3*s**2 - 6*s**2 = 0. What is s?
-4, 1
Let o(s) = 2*s**2 - 4*s + 4*s + 4*s - 10. Let g(t) = -1. Let w = -35 + 31. Let m