 1/60*k**6 + 0*k**3 + 4*k**2 + 0*k. Solve f(l) = 0 for l.
-1, 0, 2
Let j be (-1032)/(-264) + (-3)/(-33). Let p(d) be the second derivative of -1/20*d**5 - d + 1/4*d**j + 0 + 1/2*d**2 - 1/2*d**3. Suppose p(g) = 0. Calculate g.
1
Let s(g) be the third derivative of g**4/24 - g**3/3 - 10*g**2. Let k be s(2). Factor 3*z**5 - 18*z**4 + 9*z**3 + 3*z**4 - 4*z**2 + k*z**5 + 31*z**2.
3*z**2*(z - 3)**2*(z + 1)
Suppose 3*c + 5*a = 6, 4*c - 2*a - 8 = 3*a. Suppose 6 = c*x + 2. Factor 2/5*p + 0 + 2/5*p**x.
2*p*(p + 1)/5
Let s(x) = 36*x**2 - 1752*x - 573. Let v(q) = -9*q**2 + 438*q + 143. Let b(w) = -4*s(w) - 15*v(w). Factor b(o).
-3*(o - 49)*(3*o + 1)
Let o be (-2)/7 - (-4)/((-3248)/(-548)). Let p = -3/29 + o. Find n such that -12/7*n**2 - 18/7*n + 0 - p*n**3 = 0.
-3, 0
Let s(r) be the second derivative of r**4/20 + 41*r**3/10 - 63*r**2/5 - 127*r. What is t in s(t) = 0?
-42, 1
Let q(c) be the third derivative of -10*c**2 + 7/60*c**5 + 0 - 2/3*c**3 - 1/6*c**4 + 0*c - 1/60*c**6. Determine f so that q(f) = 0.
-1/2, 2
Let x be 52/5 - 18/45. Factor x + 19*k - 4*k - k**3 - 4*k**3.
-5*(k - 2)*(k + 1)**2
Let i(x) be the third derivative of -1/54*x**4 + 0*x - 1/135*x**7 - 1/90*x**5 + 1/45*x**6 + 0 + 0*x**3 + 12*x**2. Factor i(h).
-2*h*(h - 1)**2*(7*h + 2)/9
Factor 2/11*y**3 + 12/11*y**2 + 18/11*y + 0.
2*y*(y + 3)**2/11
Find o, given that -156*o**2 - 84*o**3 + 8*o**4 + 61*o + 1955*o**5 + 83*o - 1949*o**5 - 14*o**3 = 0.
-3, 0, 2/3, 4
Let v = -457/6 - -1379/18. Suppose 22/9*w**3 - 10/9*w**2 + 0 - v*w - 8/9*w**4 = 0. What is w?
-1/4, 0, 1, 2
Let s(y) be the third derivative of -2/3*y**3 - 1/120*y**6 - 6*y**2 + 0*y + 0 + 1/40*y**5 + 1/4*y**4. Let c(z) be the first derivative of s(z). Solve c(k) = 0.
-1, 2
Let y(k) be the first derivative of -4*k**5/5 + 10*k**4 - 36*k**3 + 36*k**2 + 152. Find c such that y(c) = 0.
0, 1, 3, 6
Let y(s) = 24*s**2 + 1. Let x be y(2). Let l = x + -95. Let -2/3*p**l - 4/9*p + 0 = 0. What is p?
-2/3, 0
Let k(s) = s**2 + 1. Let z(n) be the second derivative of -n**4/2 - 20*n**3 - 721*n**2/2 - 21*n. Let r(q) = -k(q) - z(q). Let r(d) = 0. What is d?
-12
Suppose -v + 202 = 204, -3*m = 4*v - 1. Factor -2/3*w**2 + 0 - 4/3*w + 2/3*w**m.
2*w*(w - 2)*(w + 1)/3
Let m = 338 - 346. Let r be ((-390)/(-84) - 4) + (-4)/m. Factor 10/7*x**2 + r + 2/7*x**3 + 16/7*x.
2*(x + 1)*(x + 2)**2/7
Let z(b) be the second derivative of 0*b**3 + 5*b**2 + 1/40*b**5 + 1/8*b**4 - 2*b + 0. Let r(f) be the first derivative of z(f). Factor r(x).
3*x*(x + 2)/2
Let o(z) = -51*z + 189. Let y(f) = f**2 + 103*f - 377. Let d(r) = -7*o(r) - 3*y(r). Factor d(i).
-3*(i - 8)**2
Factor -45*z**2 + 22*z**2 + 22*z**2 + 2*z + 8.
-(z - 4)*(z + 2)
Suppose 124*g - 19*g = 210. Let x(q) be the third derivative of 0*q**3 + 0 - 9*q**g - 5/6*q**4 + 1/12*q**5 + 0*q. Factor x(m).
5*m*(m - 4)
Let v(p) be the third derivative of -p**7/525 + 13*p**6/100 - 217*p**5/75 + 87*p**4/5 - 216*p**3/5 - 466*p**2. Find c, given that v(c) = 0.
1, 2, 18
Let t be (-3 - -5)*(-1 + 0). Let u be (t - 0)*(-2 - -1). Factor -3*v - 3*v**2 + 0 + v + u*v**2 - 1.
-(v + 1)**2
Let s(j) be the third derivative of j**8/60480 + j**7/1890 + j**6/135 - 11*j**5/60 - 8*j**2. Let k(h) be the third derivative of s(h). Factor k(m).
(m + 4)**2/3
Let d = 1324 + -1319. Let h(b) be the second derivative of 4*b**2 + b**4 - 2/15*b**6 + 0 + 4*b + 1/5*b**d - 10/3*b**3. Factor h(r).
-4*(r - 1)**3*(r + 2)
Let u(l) be the second derivative of l**6/150 + l**5/20 - l**4/10 + 82*l. Factor u(k).
k**2*(k - 1)*(k + 6)/5
Let n(g) = -8*g**4 + 22*g**3 + 52*g**2 - 38*g - 20. Let m = -72 - -73. Let j(y) = y**3 + y**2 - 1. Let s(c) = m*n(c) - 8*j(c). Let s(w) = 0. Calculate w.
-2, -1/4, 1, 3
Let w(i) be the second derivative of 96*i**2 + 8*i**3 + 1/4*i**4 + 0 - 19*i. Factor w(p).
3*(p + 8)**2
Let h = -7/330 + 709/2310. Factor 0*l**4 + 0 + 2/7*l**5 + 0*l**2 - 4/7*l**3 + h*l.
2*l*(l - 1)**2*(l + 1)**2/7
Let s be 1/(-4) - (6 - 396/48). Let w(q) be the first derivative of 7 - 1/20*q**5 + 1/2*q**3 - 1/2*q**2 + 1/16*q**4 - s*q. Suppose w(g) = 0. What is g?
-2, -1, 2
Suppose -106*s + 2/3*s**2 - 320/3 = 0. What is s?
-1, 160
Let y(d) = 2*d**2 - 6*d - 14. Let g be y(6). Suppose p - 2*i = 3*i - 17, -2*p + g = 4*i. Find z such that 0 + 4/5*z**2 + 2/5*z**p + 2/5*z = 0.
-1, 0
Let o be (3*(-4)/(-30))/((-1)/(-5)). Factor 35*v**2 + 2*v - 16*v**o - 17*v**2 - 4.
2*(v - 1)*(v + 2)
Find v, given that 24*v**2 - 14*v**2 + 12*v**3 - 12*v - 5*v**2 + 2*v**4 - 4*v**2 - 3*v**2 = 0.
-6, -1, 0, 1
Let b(p) = 2*p**3 + 6*p**2 + p + 3. Let g be 2*(0 - -1) - 2. Suppose g = -2*q + 1 - 13. Let l(v) = v**3 + v**2 + v + 1. Let a(r) = q*l(r) + 2*b(r). Factor a(x).
-2*x*(x - 2)*(x - 1)
Let f(q) be the second derivative of q**5/10 - 7*q**4/30 - 2*q**3/5 - 8*q - 1. Find m, given that f(m) = 0.
-3/5, 0, 2
Let l be (-1)/3 - (-464)/6. Factor l*k + 4*k**3 + 16*k**3 + 13*k**2 + 3*k**2 - 81*k.
4*k*(k + 1)*(5*k - 1)
Suppose -w = 3*c + 4*w - 27, 2*c - 2*w = 2. Let s = 16 + -10. Solve o**3 + s*o**c + 3 + 3*o - 3*o**2 - 4*o**3 + 0*o**3 - 6*o**2 = 0.
-1, -1/2, 1
Let v(a) = 195*a**2 + 165*a + 32. Let z(q) = -1072*q**2 - 908*q - 176. Suppose 0 = 3*k - 8*k - 25. Let w(m) = k*z(m) - 28*v(m). Factor w(t).
-4*(5*t + 2)**2
Let s = -34 + 40. Solve 6*u**2 - 5*u**2 - 8*u**3 + 9*u**3 - s*u = 0 for u.
-3, 0, 2
Let j be (-1 - 6) + (-2 + 13 - 1). Suppose -7/2*s**4 - 3/2*s + 0 + 3/2*s**j + 7/2*s**2 = 0. Calculate s.
-1, 0, 3/7, 1
Solve 26*r**3 - 1/4*r**4 - 1378*r - 2809/4 - 1299/2*r**2 = 0.
-1, 53
Let x = -1597/36 + 424/9. Solve -q**2 + 3/4 + x*q = 0.
-1/4, 3
Suppose -478*j = -483*j - 5*w - 10, 4*w = 4*j - 8. What is p in j*p - 4/3*p**5 + 4/3*p**4 + 0*p**2 + 0 + 0*p**3 = 0?
0, 1
Let l(v) be the first derivative of v**6/10 + 6*v**5/25 - 3*v**4/20 - 2*v**3/5 + 197. Solve l(k) = 0 for k.
-2, -1, 0, 1
Let t = -513/46 + 10059/506. Suppose 0*g - t + 90/11*g**4 + 432/11*g**2 - 384/11*g**3 = 0. What is g?
-2/5, 2/3, 2
Factor 76*l + 230*l**2 + 177*l**3 + 0 + 9/2*l**4.
l*(l + 38)*(3*l + 2)**2/2
Let u = 249975 - 4248043/17. Let t = -90 + u. Find i, given that 2/17*i**2 - 4/17 - t*i = 0.
-1, 2
What is k in -2 + 81*k**2 + 294*k**3 + 165*k**4 - 60*k - 22 + 12 = 0?
-1, -2/11, 2/5
Let z = -12458/5 - -2492. Factor z + 1/5*m - 1/5*m**2.
-(m - 2)*(m + 1)/5
Factor -37 + 225*y**2 - 36*y**3 - 465*y + 272 + 41*y**3.
5*(y - 1)**2*(y + 47)
Let p(h) be the first derivative of -2*h**3 + 7*h**2/2 - h + 92. Suppose p(t) = 0. Calculate t.
1/6, 1
Find q such that -1/5*q**2 + 16/5*q - 28/5 = 0.
2, 14
Determine q so that 10 + 0*q**2 - 12*q + 38*q + 2 - 2*q**3 + 8*q**2 - 4*q**3 = 0.
-1, -2/3, 3
Find z such that 1/3*z**5 - 88/3 + 12*z + 2*z**4 + 70/3*z**2 - 49/3*z**3 = 0.
-11, -1, 2
Let h(s) = -15*s**2 + 63*s + 9. Let r(x) = -4*x**2 + 16*x + 2. Let n(t) = 2*h(t) - 9*r(t). Let m(i) = -5*i**2 + 18*i. Let z(p) = 3*m(p) + 2*n(p). Factor z(g).
-3*g*(g - 6)
Determine w, given that -10 + 25*w**5 + 80*w**2 - 70*w**4 - 2*w**3 - 35*w + 16*w**3 - 3*w**3 - w**3 = 0.
-1, -1/5, 1, 2
Let a(f) be the second derivative of -f**4/96 - 23*f**3/48 + 3*f**2/2 - 23*f + 1. Factor a(h).
-(h - 1)*(h + 24)/8
Let z be -3 + (0 - -3 - 0). Solve -2*t**2 - t + 2*t + z*t - 5*t = 0.
-2, 0
Let w(q) be the first derivative of -q**3/3 - 17*q**2/2 + 2*q - 8. Let o be w(-17). Solve -1/5*i**3 - 1/5*i**o + 0*i + 0 = 0.
-1, 0
Suppose -68 = -2*b - 0*b. Factor -b + 12 - 24*m - 18*m**2 + 3*m**4 + 13.
3*(m - 3)*(m + 1)**3
Let a(u) be the third derivative of 11*u**8/1008 - u**7/315 - 11*u**6/360 + u**5/90 - 223*u**2 + 1. What is i in a(i) = 0?
-1, 0, 2/11, 1
Let c(x) be the first derivative of 0*x + 5 - 3/20*x**5 - x**2 - 1/8*x**4 + x**3 + 1/24*x**6. Find v such that c(v) = 0.
-2, 0, 1, 2
Let n(x) be the second derivative of -1/108*x**4 - 1/27*x**3 + 0*x**2 + 0 - 18*x. Factor n(h).
-h*(h + 2)/9
Let p(r) = 2*r**3 - 16*r**2 + 36*r + 48. Let i(x) = -2*x**3 + 17*x**2 - 35*x - 49. Let v(z) = 6*i(z) + 5*p(z). Find q such that v(q) = 0.
-1, 3, 9
Let h(u) = -3*u**2 + 12*u - 9. Let f(z) = 4*z**2 - 13*z + 9. Let r(j) = 2*f(j) + 3*h(j). Factor r(c).
-(c - 9)*(c - 1)
Let i(v) = 6*v - 17. Let w be i(6). Suppose 0 = 2*j + 3*m - w - 0, m = 2*j + 1. Factor -6/11*t - 2/11 - 6/11*t**j - 2/11*t**3.
-2*(t + 1)**3/11
Let k = -32 - -36. Suppose -k*g + 8 = -0*g. Factor -1/2*y**g + 1/2*y + 0.
-y*(y - 1)/2
Let k(g) = 5*g**4 - 6*g**3 