q) = 4*k(q) - 9*l(q). Factor t(i).
(i - 1)*(i + 1)**2*(i + 4)
Let w(v) = 9*v**4 + 31*v**3 + 34*v**2 + 4*v. Let u = 142 - 141. Let p(o) = o**4 - o**3 + o**2 + o. Let b(c) = u*w(c) - 4*p(c). Factor b(a).
5*a**2*(a + 1)*(a + 6)
Let n = 25 + -17. Let p be (-12)/n*2*-1. Factor 0*t + p*t**2 + 0 - 3/4*t**5 - 9/4*t**4 + 0*t**3.
-3*t**2*(t - 1)*(t + 2)**2/4
Suppose 5*z + 0*z - 15 = 0. Suppose 3*a**4 - 4*a**3 + 10*a**3 - 3*a**z = 0. Calculate a.
-1, 0
Let q(b) be the third derivative of -27*b**6/160 + 3*b**5/10 - b**4/6 + 9*b**2 + 1. Factor q(t).
-t*(9*t - 4)**2/4
Factor -81 - 3*k - k + 201 - 4*k**2.
-4*(k - 5)*(k + 6)
Let q(x) be the second derivative of -x**5/110 - 2*x**4/11 + 28*x**3/33 - 47*x. Factor q(t).
-2*t*(t - 2)*(t + 14)/11
Let b(r) be the second derivative of 0 - 2/7*r**2 + 1/35*r**5 - 2/105*r**6 - 1/21*r**3 + 2/21*r**4 - 3*r - 1/147*r**7. Suppose b(j) = 0. What is j?
-2, -1, 1
Let d be 24 - (-1)/(2/6). Suppose 0 = t + 5*z - d, 2*z = -t + 7*z - 23. Determine r, given that 1/9*r - 2/9*r**t + 1/9*r**3 + 0 = 0.
0, 1
Let c = 1363/112 + 149/112. Factor -c*x - 3/2*x**2 - 12.
-3*(x + 1)*(x + 8)/2
Suppose -7*s + 2*s**2 - 11 - 24*s - 77 - 9*s = 0. What is s?
-2, 22
Suppose 0 + 3/2*z - 1/2*z**3 - z**2 = 0. Calculate z.
-3, 0, 1
Suppose 0 = -m + 6 - 4. Let r be -2 - (-12)/m*(-4)/(-10). Solve 0*z**3 + 0*z - 2/5*z**4 + 4/5*z**2 - r = 0 for z.
-1, 1
Let w(z) = 9*z**2 + 2*z + 3. Let k(p) = -4*p**2 - p - 1. Let f = 1 - 9. Let m be (28/f)/(3/6). Let a(c) = m*k(c) - 3*w(c). What is u in a(u) = 0?
-2, 1
Factor -29/4*z**2 - 1/4*z**3 + 0*z + 0.
-z**2*(z + 29)/4
Let d be 2*3159/(-2010) - -3. Let b = -2/201 - d. Factor -2/15 + b*k**2 + 0*k.
2*(k - 1)*(k + 1)/15
Let h(v) be the third derivative of -1/35*v**7 + 0*v + 3/40*v**6 + 0 - 1/112*v**8 - 1/2*v**4 - 13*v**2 + 0*v**3 + 1/5*v**5. Factor h(p).
-3*p*(p - 1)**2*(p + 2)**2
Let g be (114/(-10))/((-1464)/(-60)). Let s = 2/61 - g. Factor s*z**2 + 1/2*z - 1.
(z - 1)*(z + 2)/2
Let c(t) be the second derivative of -7*t + 0*t**2 + 1/252*t**7 + 0*t**3 - 1/72*t**4 + 0 - 1/120*t**5 + 1/180*t**6. Let c(a) = 0. What is a?
-1, 0, 1
Let t(f) be the third derivative of 0*f**4 + 1/360*f**6 + 0*f + 0*f**3 + 1/180*f**5 + 0 + 3*f**2. Suppose t(l) = 0. Calculate l.
-1, 0
Let v = -20311/360 + 508/9. Let y(k) be the third derivative of 0*k**3 + 0*k**4 + v*k**5 + 13*k**2 + 0 + 1/40*k**6 + 0*k + 1/140*k**7. Factor y(i).
3*i**2*(i + 1)**2/2
Let d(n) be the third derivative of 0*n - 1/840*n**7 + 0 - 1/96*n**4 - 1/160*n**6 + 0*n**3 + 8*n**2 - 1/80*n**5. Solve d(x) = 0 for x.
-1, 0
Factor 97 - 55*g**3 - 46 - 430*g**2 - 10 - 800*g + 83 + 36.
-5*(g + 4)**2*(11*g - 2)
Let c(b) be the third derivative of b**6/480 + 17*b**5/120 + 289*b**4/96 + 70*b**2. Factor c(j).
j*(j + 17)**2/4
Factor 5*a**5 + 2*a**4 - 6*a**4 + 7*a**3 + 10*a**2 - 14*a**5 + 5*a**5 + 3*a**5.
-a**2*(a - 2)*(a + 1)*(a + 5)
Let g be 1 - 4 - (0 + (-39)/9). Determine p, given that 2/9*p**4 + g*p**5 - 2/3*p**2 + 4/9 + 10/9*p - 22/9*p**3 = 0.
-1, -2/3, -1/2, 1
Let m(b) be the first derivative of -1 - 2/3*b**3 - 20*b - 11*b**2. Factor m(l).
-2*(l + 1)*(l + 10)
Let i = -3714 + 3717. Factor 10/9*p**i + 14/9*p**2 + 2/3*p + 0 + 2/9*p**4.
2*p*(p + 1)**2*(p + 3)/9
Let g = 14 - -2. Suppose g - 36 = -5*d. Factor h**3 + 19 + 2*h**2 - d*h**2 - 19.
h**2*(h - 2)
Let d(v) be the second derivative of -14*v**6/135 - 16*v**5/45 - 11*v**4/27 - 4*v**3/27 + 36*v. Factor d(f).
-4*f*(f + 1)**2*(7*f + 2)/9
Let t = -417054/7 + 59309. Let u = 271 + t. What is x in 27/7*x**2 + 6/7*x + 0 - 27/7*x**4 - u*x**3 = 0?
-1, -2/9, 0, 1
Let t(w) be the second derivative of 0*w**2 + 0 + 1/225*w**6 + 1/6*w**4 + 1/5*w**3 + 7/150*w**5 + 8*w. Factor t(b).
2*b*(b + 1)*(b + 3)**2/15
Let t(m) = 57*m**4 + 49*m**3 + 5*m**2 - 26*m + 13. Let i(w) = 14*w**4 + 12*w**3 + w**2 - 6*w + 3. Let r(z) = -26*i(z) + 6*t(z). Factor r(v).
-2*v**2*(v + 1)*(11*v - 2)
Let x(w) = -2*w**3 + 2*w**2 + 2*w - 1. Let g(n) = n**3 - n**2 + 1. Let m(p) = -2*g(p) - 2*x(p). Solve m(l) = 0.
-1, 0, 2
Let l(p) be the second derivative of 1/2*p**4 - 12*p + 2/15*p**5 + 2/3*p**3 + 0 + 1/3*p**2. What is d in l(d) = 0?
-1, -1/4
Let r(x) = -x**4 - x**3 - x**2 + x - 1. Let y(q) = 47*q**4 - 121*q**3 + 98*q**2 - 29*q + 2. Suppose 65*i + 1 = 66*i. Let g(u) = i*y(u) - r(u). Factor g(t).
3*(t - 1)**2*(4*t - 1)**2
Factor -81/8*l**2 - 9*l - 2.
-(9*l + 4)**2/8
Let b(z) be the second derivative of z**6/45 - z**5/15 + z**4/18 - 3*z - 64. Find w such that b(w) = 0.
0, 1
Let r(j) = 5*j**2 + 46*j + 48. Let i(q) = 5*q**2 + 45*q + 50. Let h(x) = 6*i(x) - 5*r(x). Factor h(p).
5*(p + 2)*(p + 6)
Let s(q) be the first derivative of -4/5*q + 3/2*q**4 - 9/25*q**5 - 37/15*q**3 + 49 + 2*q**2. Let s(d) = 0. Calculate d.
2/3, 1
Let y(j) = -j. Let w(a) = 15*a**3 - 20*a**2 + 25*a. Let z(s) = w(s) + 20*y(s). What is m in z(m) = 0?
0, 1/3, 1
Find y such that -9*y**3 - 32 - 15*y**2 - 13*y**2 + 4*y**4 - 15*y**3 + 32 = 0.
-1, 0, 7
Let o = 5207/2316 + 1/579. Factor -3/2*n**2 + o*n + 3/2 - 9/4*n**3.
-3*(n - 1)*(n + 1)*(3*n + 2)/4
Let z(k) be the first derivative of 14*k**3/3 + 65*k**2 + 36*k - 281. Factor z(s).
2*(s + 9)*(7*s + 2)
Let p(b) = -2*b**3 + 28*b**2 + 297*b - 61. Let f be p(21). Factor w + 6/7 + 0*w**f - 1/7*w**3.
-(w - 3)*(w + 1)*(w + 2)/7
Let g(i) = 2*i**3 - 20*i**2 + 31*i + 43. Let u(q) = q**3 - 10*q**2 + 16*q + 21. Let f(j) = 3*g(j) - 5*u(j). Let f(o) = 0. Calculate o.
-1, 3, 8
Let l(k) be the first derivative of 3*k**4/8 + 3*k**3/2 + 3*k**2/2 + 554. Solve l(c) = 0.
-2, -1, 0
Find b such that -18/5*b**2 - 8*b - 8/5 = 0.
-2, -2/9
Let v(w) = 2*w**2 - 70*w + 7. Let g be v(35). Let q(l) be the first derivative of 5/2*l**6 - 10*l**3 + 3*l**4 + 36/5*l**5 - 6*l - g - 27/2*l**2. Factor q(z).
3*(z - 1)*(z + 1)**3*(5*z + 2)
Suppose 15 = 3*f - 18. Let k = 14 - f. Suppose -3 + 0*s - 5*s**k - 4*s**3 + 5*s + 4*s + 3*s**2 = 0. Calculate s.
-1, 1/3, 1
Suppose 2*u - 20 = -3*u. Factor -2*t**2 + u + 6*t + 3*t**3 + 2*t**2 - 5*t**3.
-2*(t - 2)*(t + 1)**2
Let s be (0 - 1)/((-5)/255). Factor 48*x + s*x - 111*x - 16 + 4*x**2.
4*(x - 4)*(x + 1)
Let w(v) be the second derivative of -v**7/2520 + v**6/180 - v**5/40 + 8*v**4/3 + 7*v. Let o(y) be the third derivative of w(y). Solve o(k) = 0.
1, 3
Let x = -98 - -197/2. Let u(f) be the third derivative of -x*f**4 - 1/30*f**6 + 0 + 4/15*f**5 + 0*f**3 + 0*f + 5*f**2. Determine r, given that u(r) = 0.
0, 1, 3
Let d(w) = 2*w**3 + 16*w**2 - 2*w - 60. Let o(i) = 4*i**3 + 31*i**2 - 4*i - 120. Let c(y) = 7*d(y) - 4*o(y). Find z such that c(z) = 0.
-5, -3, 2
Factor -1/3 - 1/2*f**3 - 4/3*f**2 - 7/6*f.
-(f + 1)**2*(3*f + 2)/6
Let z = -796/9 + 3989/45. Factor z*x**3 - 1/5*x - 2/5*x**2 + 2/5.
(x - 2)*(x - 1)*(x + 1)/5
Let w = -25 + 21. Let t(g) = -2*g**2 + 4. Let x(q) = -q + 1. Let b(m) = w*x(m) + t(m). Determine l, given that b(l) = 0.
0, 2
Suppose -631*f**5 + 18*f**2 - 2*f**2 - 16*f**4 + 629*f**5 + 2*f**3 = 0. Calculate f.
-8, -1, 0, 1
Let o(l) = 7*l**3 + 9*l**2 - 14*l + 3. Let x(t) = -8*t**3 - 10*t**2 + 14*t - 2. Let y(w) = -6*o(w) - 5*x(w). Factor y(g).
-2*(g - 1)**2*(g + 4)
Let j be 86*14/8*4/14. Factor k**4 - k + 85*k**3 - k**2 - 41*k**3 - j*k**3.
k*(k - 1)*(k + 1)**2
Let k(v) be the first derivative of 44 - 1/5*v**2 + 4/5*v - 2/15*v**3. Factor k(f).
-2*(f - 1)*(f + 2)/5
Suppose -6*i + 9 = -9. Suppose -i*q - 2*q = 0. Factor 6 - 6 - 5*t**2 + q.
-5*t**2
Let b(v) = 19*v**3 + 43*v**2 + 18*v - 67. Let j be (4 - 2 - (16 - 2)) + -1. Let d(c) = 9*c**3 + 21*c**2 + 9*c - 33. Let s(u) = j*d(u) + 6*b(u). Factor s(a).
-3*(a - 1)*(a + 3)**2
Let r(p) be the first derivative of -8*p**3 - 30*p - 57/2*p**2 - 43 + 3/4*p**4. Solve r(d) = 0.
-1, 10
Let x(q) be the third derivative of -q**6/120 - q**5/30 + 5*q**4/8 + 11*q**2 + 6*q. Solve x(r) = 0.
-5, 0, 3
Let g be 2/(-9 - 3 - (-522)/36). Suppose -2/5*z - 4/5*z**2 + 0*z**3 + 2/5*z**5 + g*z**4 + 0 = 0. What is z?
-1, 0, 1
Let i = 113 - 111. Let n(p) be the first derivative of -2/27*p**3 + 0*p - 1/18*p**4 + 4 + 0*p**i. Find g, given that n(g) = 0.
-1, 0
Let x = -40529/7 + 5790. Factor -4/7*h**2 + 1/7*h + 6/7 + x*h**3.
(h - 3)*(h - 2)*(h + 1)/7
Let d(a) = a + 26. Let v be d(-12). Let -14*c**4 + v*c**3 - 9*c**5 + 54*c**2 + 8 + 5*c**5 - 2*c**5 + 40*c = 0. What is c?
-2, -1, -1/3, 2
Factor 0 - 12*g**2 - 14*g**3 + 0 + 93*g**5 - 91*g**5.
2*g**2*(g - 3)*