32*o**3 - 45 - 24*o**4 + 4*o**5 + 15 + 34*o**2 = 0.
-2, 2
Let w be (-3)/(-10)*360/240. Let h(f) be the second derivative of w*f**4 + 0 + f + 3/10*f**2 + 3/5*f**3. Let h(t) = 0. Calculate t.
-1/3
Let s be (8/50)/(7/420). Find z such that -4/5 + 18/5*z**5 + 92/5*z**3 + 68/5*z**4 + s*z**2 + 2/5*z = 0.
-1, 2/9
Let x(k) be the second derivative of -4*k**2 - 14/3*k**3 - 8*k + 4/3*k**4 + 0. Factor x(b).
4*(b - 2)*(4*b + 1)
Factor 5*m + 1/5*m**2 + 0.
m*(m + 25)/5
Let l(i) be the first derivative of -2*i**3/27 - 74*i**2/9 + 50*i/3 + 779. Factor l(t).
-2*(t - 1)*(t + 75)/9
Let m(o) = 11*o**4 + 76*o**3 + 872*o**2 + 4032*o + 6908. Let b(q) = -13*q**4 - 74*q**3 - 871*q**2 - 4032*q - 6907. Let r(g) = -4*b(g) - 5*m(g). Solve r(w) = 0.
-8, -6
Let y(h) be the second derivative of 3/91*h**7 + 0*h**3 + 0*h**4 + 4/39*h**6 + 0*h**2 + 2/65*h**5 + 0 - 45*h. Solve y(r) = 0 for r.
-2, -2/9, 0
Let j = 3220 + -3216. Solve 3/2*a**3 + 8/3*a**5 + 1/6*a**2 + j*a**4 + 0*a + 0 = 0 for a.
-1, -1/4, 0
Factor -48/5 - 3/5*j**3 - 18/5*j + 27/5*j**2.
-3*(j - 8)*(j - 2)*(j + 1)/5
Let f(r) be the second derivative of 1/6*r**6 + 9/20*r**5 + 0 + 7/12*r**4 + 1/3*r**3 + 1/42*r**7 + 0*r**2 + 5*r. Find h such that f(h) = 0.
-2, -1, 0
Let o = 171 + -168. Let y(v) be the third derivative of -2/3*v**o + 1/4*v**4 + 0*v - 1/60*v**6 + 5*v**2 + 0*v**5 + 0. Factor y(q).
-2*(q - 1)**2*(q + 2)
What is l in 211*l - 1618 + 889*l - 695 - 116*l**2 - 1075 + 4*l**3 = 0?
7, 11
Let l be 0 - (-3 + 1) - 9. Let d(s) = 2*s**2 + 11*s + 6. Let w(i) = 4*i**2 + 23*i + 12. Let g(b) = l*d(b) + 3*w(b). Factor g(r).
-2*(r + 1)*(r + 3)
Factor -2*j**4 - 52*j**3 - 2*j**4 - 8*j**3 + 31*j**2 - 149*j + 177*j**2 + 5*j.
-4*j*(j - 2)*(j - 1)*(j + 18)
Let z(o) = o**2 - 140. Let j be z(12). Suppose 2/7*k**j + 0 + 26/7*k**2 - 12/7*k - 16/7*k**3 = 0. Calculate k.
0, 1, 6
Let r(q) be the second derivative of 7*q**6/60 - 11*q**5/10 + 4*q**4 - 20*q**3/3 + 4*q**2 - 61*q. Solve r(z) = 0.
2/7, 2
Let y(i) be the first derivative of 2/9*i**4 - 8 + 0*i - 1/9*i**2 + 2/9*i**3. Factor y(p).
2*p*(p + 1)*(4*p - 1)/9
Let 35*m**4 - 5*m**5 - 80*m + 20 - 12*m**3 + 84*m**2 - 83*m**3 + 41*m**2 = 0. Calculate m.
1, 2
Let g(n) be the third derivative of 0*n**3 + 0 - 6*n**2 + 0*n - 1/42*n**4 - 1/210*n**5. Suppose g(q) = 0. What is q?
-2, 0
Factor 44/5 - 2/5*p**2 + 18/5*p.
-2*(p - 11)*(p + 2)/5
Let 11/6 + 2*z + 1/6*z**2 = 0. What is z?
-11, -1
Let i(o) = -o. Let j(k) = -k + 5. Let d(z) = -4*i(z) + 2*j(z). Let t be d(-5). Factor t*c - 4 - 5*c - 2*c**2 + c - 2*c.
-2*(c + 1)*(c + 2)
Let q(o) = o**3 + 3*o**2 + 3. Let a be q(-3). Suppose -6 = v - 3*v. Factor 11*p**2 - 8*p**2 - 4*p**a + 3*p**3 + 1 - v*p.
-(p - 1)**3
Suppose -a - 3*a + 13 = -i, -3*i - 3 = 0. What is v in -5*v**2 - 5*v**3 + a*v**3 + 5*v**2 + 4*v**2 = 0?
0, 2
Solve 56*k**3 + 17*k - 8*k**4 - 28*k**3 - 54*k**3 + k = 0.
-3, -1, 0, 3/4
Find s, given that 30*s - 2296 - 2*s**3 - 534 + 44*s**2 - 233 - 537 = 0.
-8, 15
Factor 13/2*z - 1/4*z**2 - 169/4.
-(z - 13)**2/4
Suppose 0 = -5*r + 4*w - 10, -2*w + 3 = -3*r - 1. Find p such that 25*p**4 + 10*p - r*p**5 - 3*p**5 + 45*p**3 + 9*p**5 + p**5 + 35*p**2 = 0.
-2, -1, 0
Solve 0*x**3 + 243/7 - 1/7*x**4 + 54/7*x**2 + 216/7*x = 0.
-3, 9
Let u(h) = 3 + 9*h - 7 + 234*h**2 - 237*h**2. Let y(m) = -12*m**2 + 36*m - 15. Let t = -3 - -1. Let p(z) = t*y(z) + 9*u(z). Factor p(q).
-3*(q - 2)*(q - 1)
Let g(p) be the first derivative of -p**5/15 + 2*p**4 - 166*p**3/9 + 44*p**2 - 121*p/3 + 105. Factor g(i).
-(i - 11)**2*(i - 1)**2/3
Let 3*o**4 - 4629*o**3 + 4608*o**3 - 29 + 83 + 21*o - 57*o**2 = 0. What is o?
-2, -1, 1, 9
Let z be (-1282)/175 + 4 + 3. Let f = -1/25 - z. Factor 0 - 2/7*x**2 - f*x**3 + 0*x.
-2*x**2*(x + 1)/7
Factor -25*d**4 + 27*d**2 + 27*d - 13*d**2 + 3*d - 60*d**3 + 41*d**2.
-5*d*(d - 1)*(d + 3)*(5*d + 2)
Let h(o) be the third derivative of -o**6/360 + 11*o**5/180 + o**4/6 - 85*o**2. What is q in h(q) = 0?
-1, 0, 12
Let n(t) = -48*t**3 + 652*t**2 - 5376*t + 14336. Let s(y) = -7*y**3 + 93*y**2 - 768*y + 2048. Let r(h) = -3*n(h) + 20*s(h). Find f, given that r(f) = 0.
8
Determine p so that -10*p**3 - 7*p**2 + 180*p + 200 + 16*p**2 + 21*p**2 + 5*p**3 = 0.
-2, 10
Let u(q) be the first derivative of 14*q**5/25 + q**4/2 - 4*q**3/15 + 125. Factor u(h).
2*h**2*(h + 1)*(7*h - 2)/5
Let q(y) = 3*y**2 - 23*y + 17. Let l = -44 - -51. Let b be q(l). Let -4/9*o**b + 2/9 - 2/9*o**4 + 4/9*o + 0*o**2 = 0. What is o?
-1, 1
Suppose 1/3*a**2 - 68/3*a + 67/3 = 0. Calculate a.
1, 67
Suppose 4*q - 2*q**2 + 0 - 3*q**3 + 1/2*q**5 + 1/2*q**4 = 0. What is q?
-2, 0, 1, 2
Let s(t) = 0*t**2 + 2*t + 4*t**2 - 3 - 20*t**3 + 19*t**3. Let m be s(4). Factor -4 + m*v**2 - 5*v**3 + v**5 - 3*v + v**4 - 6*v**2 + 11*v.
(v - 1)**3*(v + 2)**2
Let y(i) be the first derivative of i**6/24 - 9*i**5/20 + 13*i**4/16 + 3*i**3/4 - 7*i**2/4 - 293. Solve y(t) = 0 for t.
-1, 0, 1, 2, 7
Suppose -12 = 9*p - 13*p. Let r be p*2/(-84)*-18. Factor 3/7*x**5 + 3/7 - 9/7*x**4 + 6/7*x**3 + 6/7*x**2 - r*x.
3*(x - 1)**4*(x + 1)/7
Let o(m) = -18*m**4 + 38*m**3 + 6*m**2 - 6. Let h(c) = 17*c**4 - 37*c**3 - 7*c**2 + 5. Let a(q) = 6*h(q) + 5*o(q). Factor a(b).
4*b**2*(b - 3)*(3*b + 1)
Let n be 18/8 + 3/(-12). Let v = -36870 - -36870. Solve -1/2*k**3 + v*k**n + 0 + 1/2*k = 0.
-1, 0, 1
Let h(w) = w**3 - w**2. Let t(u) = 8*u**3 + 32*u**2 + 75*u + 45. Suppose c + 18 = 21. Let f(s) = c*h(s) - t(s). Solve f(x) = 0.
-3, -1
Suppose -2*c - 14 = -2*b, 4*b + 5*c + 18 - 10 = 0. Find f such that 0 - 6/11*f**b + 1/11*f - 8/11*f**4 + 0*f**2 - 3/11*f**5 = 0.
-1, 0, 1/3
Determine s, given that -297754/7 - 318/7*s**2 - 16854/7*s - 2/7*s**3 = 0.
-53
Let c(y) be the first derivative of -5*y**6/6 - 10*y**5 - 185*y**4/4 - 100*y**3 - 90*y**2 + 17. Find z such that c(z) = 0.
-3, -2, 0
Let g(m) be the second derivative of -m**8/1120 - m**7/560 + m**6/240 + m**5/80 + 2*m**3/3 + 24*m. Let a(t) be the second derivative of g(t). Factor a(j).
-3*j*(j - 1)*(j + 1)**2/2
Suppose 3*b - 158 = -4*w + 252, -4*w = 2*b - 268. Factor 0*l**3 + b*l**2 + 120*l**3 + 40*l + 5 - 32*l**2 + 45*l**4.
5*(l + 1)**2*(3*l + 1)**2
Let q(v) = -v**3 + 3*v**2 - v. Let a be q(2). Suppose -57*n = -9*n + 108 - 204. Find p such that -2*p + n + 1/2*p**a = 0.
2
Let m(g) = g**3 - 18*g**2 - 3*g - 304. Let x be m(19). Determine v, given that 4/3*v**5 + 0*v**3 + 8/3*v**4 - 8/3*v**2 - 4/3*v + x = 0.
-1, 0, 1
Let n(x) = -5*x**3 - 195*x**2 - 1080*x - 2170. Let p(m) = 6*m**2 + 1. Let y(b) = n(b) + 10*p(b). Factor y(w).
-5*(w + 3)*(w + 12)**2
Let k(m) be the third derivative of 0 - 23*m**2 - 1/56*m**4 - 1/30*m**5 + 2/245*m**7 + 0*m + 1/21*m**3 - 1/210*m**6 + 1/336*m**8. Solve k(p) = 0 for p.
-1, 2/7, 1
Let k(d) be the first derivative of 3 + 0*d - 1/13*d**2 - 2/39*d**3. Factor k(l).
-2*l*(l + 1)/13
Let k(u) be the first derivative of -25*u**6/6 - 2*u**5 + 10*u**4 + 10*u**3/3 - 15*u**2/2 - 237. What is t in k(t) = 0?
-1, 0, 3/5, 1
Let d be 2 + -4 + (-1 - -3). Suppose d = -17*m + 13 - 13. Find s such that 0 + 1/4*s**2 - 1/8*s**3 + m*s = 0.
0, 2
Let o(y) be the first derivative of 3*y**5/25 - 7*y**4/20 - y**3/15 + 7*y**2/10 - 2*y/5 - 2. Suppose o(r) = 0. Calculate r.
-1, 1/3, 1, 2
Let i = 14619 - 160805/11. Factor -2/11 - 2/11*g**2 - i*g.
-2*(g + 1)**2/11
Let k(z) be the third derivative of z**4/6 + z**3/2 + z**2 + z. Let b be k(0). Find q, given that 102/5*q + 14/5*q**b - 36/5 + 16*q**2 = 0.
-3, 2/7
Let a be -1 + 1 + (-6)/(-10). Let o = -2633/65 + 550/13. Find y, given that a*y**2 - o*y + 0 = 0.
0, 3
Suppose -28*y + 106 = 22. Let t(b) be the first derivative of 1/10*b**5 + 2*b - 8 - 3/4*b**4 - y*b**2 + 13/6*b**3. Let t(n) = 0. What is n?
1, 2
Suppose z + m = -0 + 7, -5*z + 3*m = -59. Determine u so that 5*u + 7*u**3 + 2*u**2 - 11*u**3 + z - 12*u**2 - u**3 = 0.
-2, -1, 1
Factor 3/5*k**4 + 9*k**2 + 0 + 0*k - 24/5*k**3.
3*k**2*(k - 5)*(k - 3)/5
Let m(h) be the second derivative of 40*h**7/21 + 52*h**6/3 + 193*h**5/4 + 355*h**4/6 + 205*h**3/6 + 10*h**2 - 55*h. Let m(y) = 0. Calculate y.
-4, -1, -1/4
Let g(y) = y**3 - 54*y**2 - 96*y - 61. Let v(i) = i**2 - i + 2. Let h(c) = 3*g(c) + 15*v(c). Factor h(d).
3*(d - 51)*(d + 1)**2
Let b = 3678/5 + -735. Factor -18/5*g**3 - b*g**4 - 12/5 - 36/5*g - 39/5*g**2.
-3*(g + 1)**2*(g + 2)**2/5
Let j(s) be the first derivative of -75*s - 30*s**3 + 29*s**3 + 1 + 5 + 15