ative of p**8/16128 - 3*p**5/10 + 7*p**2. Let a(z) be the third derivative of w(z). Factor a(k).
5*k**2/4
Let g be 1*-2 - (28 + 5). Let i be 1*(-5)/g*2. Determine l so that -i + 2/7*l**2 + 0*l = 0.
-1, 1
Suppose p + 20 = -3*p. Let t be p/(-15) - (-8)/3. Factor -9*j**3 - 3*j**2 - t*j**2 - j**2 - 2*j**5 - 2*j + j**5 - 5*j**4.
-j*(j + 1)**3*(j + 2)
Let z(s) be the first derivative of -s**6/42 + 5*s**5/7 - 45*s**4/14 + 130*s**3/21 - 85*s**2/14 + 3*s + 52. Factor z(l).
-(l - 21)*(l - 1)**4/7
Let g be 16/(-12)*3*5/(-25). Let z(w) be the second derivative of -13/30*w**4 + 2*w - g*w**2 - 3/25*w**5 + 0 - 1/75*w**6 - 4/5*w**3. Let z(s) = 0. Calculate s.
-2, -1
Find n, given that -1/3*n**4 + 0 + 0*n - 5/3*n**3 + 2*n**2 = 0.
-6, 0, 1
Let h(q) be the third derivative of 37*q**2 + 1/9*q**3 + 1/270*q**5 + 0*q + 1/27*q**4 + 0. Find d, given that h(d) = 0.
-3, -1
Suppose i = 2*i - 2. Let g be i/((-4)/(-26)) - 1. Factor 0*x - 3*x + 9*x**2 - g*x**2.
-3*x*(x + 1)
Let y(z) = -z**3 + z**2 + z + 6. Let w be y(-3). Factor 0 + w*r**2 - 4 - 43*r**2 + 8*r.
-4*(r - 1)**2
Let h(m) be the first derivative of 5*m**8/168 + m**7/14 + m**6/24 + 9*m**2/2 + 5. Let j(d) be the second derivative of h(d). Factor j(q).
5*q**3*(q + 1)*(2*q + 1)
Let k = 1122 + -8971/8. Factor -k*o - 1/8*o**4 + 1/4 + 1/8*o**3 + 3/8*o**2.
-(o - 1)**3*(o + 2)/8
Suppose 4*q - 301 = n, -n + 360 = 5*q + n. Suppose -4*d + q = 2*z, -4*z = 3*d - 16 - 47. Factor -11*g - 19 + 7*g**5 - 14*g**2 + 16*g**4 - 4*g**3 + d + 8*g**3.
(g - 1)*(g + 1)**3*(7*g + 2)
Factor 2/15*v**5 - 8/5*v**3 + 0*v - 32/15*v**2 + 0*v**4 + 0.
2*v**2*(v - 4)*(v + 2)**2/15
Let h be (-285)/(-114)*(24/20 + -1). Factor -h*p**2 + 4*p - 6.
-(p - 6)*(p - 2)/2
Let q = 25406 + -381076/15. Let -4/5*b - q + 2/15*b**2 = 0. Calculate b.
-1, 7
Let g = -1889 - -3787/2. Let h(o) be the third derivative of 1/20*o**5 + g*o**3 + 0*o + 6*o**2 - 3/4*o**4 + 0. Factor h(l).
3*(l - 3)**2
Let m(n) = -6*n - 7. Let a be m(0). Let s be 1/(((-196)/8)/a). Factor 0 - s*j + 8/7*j**2.
2*j*(4*j - 1)/7
Factor -4*d**2 - 758*d + 401*d + 373*d - 16.
-4*(d - 2)**2
Let q = -53 - -77. Suppose 3*f = 7*f + i - 15, 3*i = -5*f + q. Factor 3*v + 0*v**3 - v + 0*v**f - 2*v**2 - 2*v**3 + 2.
-2*(v - 1)*(v + 1)**2
Suppose 20*u = 25*u + 2*c - 13, 4*c = -4. Suppose -16/5 - 148/5*n**2 + 24*n**u + 16*n - 36/5*n**4 = 0. Calculate n.
2/3, 1
Factor k**2 + 0*k**2 + 16053 + 10191 - 648*k + 3*k**2.
4*(k - 81)**2
Let f(a) = -6*a**2 - 7*a - 20. Let b(s) = -5*s**2 - 4*s - 19. Let q(z) = -5*b(z) + 4*f(z). Solve q(d) = 0.
3, 5
Determine a so that -53 + 178*a**2 + 2 + 104*a - 175*a**2 - 27 - 29*a = 0.
-26, 1
Solve 0 + 4/3*u**5 - 68/3*u**4 + 0*u - 256/3*u**2 + 320/3*u**3 = 0 for u.
0, 1, 8
Let r(j) be the second derivative of -j**8/3360 + j**7/420 - j**6/180 + 7*j**4/6 + 6*j. Let z(o) be the third derivative of r(o). What is y in z(y) = 0?
0, 1, 2
Let n(r) be the first derivative of r**6/6 + 4*r**5/5 - 3*r**4 + 2*r**3/3 + 11*r**2/2 - 6*r + 48. Factor n(m).
(m - 1)**3*(m + 1)*(m + 6)
Factor 92*i**3 - 50*i**3 - 9*i**2 + 12 - 3*i + 3*i**4 - 48*i**3 + 15*i.
3*(i - 2)**2*(i + 1)**2
Suppose 67*m**3 - 10*m - 38*m - 57*m**3 - 4*m**2 + 2*m**4 = 0. What is m?
-4, -3, 0, 2
Find x, given that -3/4*x**4 - 423/8*x - 105/8 - 537/8*x**2 - 225/8*x**3 = 0.
-35, -1, -1/2
Let r = 15/8 + -179/104. Let q be (1/65)/(364/7280). Determine b, given that -r*b**2 + q*b + 6/13 = 0.
-1, 3
Let c(d) = -15*d**2 + 261*d + 106. Let h(b) = 120*b**2 - 2091*b - 849. Let v(q) = 33*c(q) + 4*h(q). Factor v(w).
-3*(w - 17)*(5*w + 2)
Factor -14*t - 5*t**4 + 6*t - 26*t**2 + 6*t**2 + 7*t**3 + 55*t**3 + 9*t**5 - 38*t**4.
t*(t - 2)**2*(t - 1)*(9*t + 2)
Determine c so that -41/9*c**2 - 7/9 + 7/9*c**3 - 55/9*c = 0.
-1, -1/7, 7
Let w = 5413/7 + -773. Let q be 3/9 + (-1)/3. Factor q + 0*i + w*i**5 - 2/7*i**2 - 2/7*i**3 + 2/7*i**4.
2*i**2*(i - 1)*(i + 1)**2/7
Let i = -134 + 56. Let v be 6*i/(-162) - 0. Suppose 46/9*y**3 - 14/9*y**4 - 6*y**2 - 4/9 + v*y = 0. What is y?
2/7, 1
Let a(h) be the third derivative of 4*h**7/1155 + 113*h**6/660 + 21*h**5/10 - 45*h**4/4 + 225*h**3/11 + 69*h**2. Let a(r) = 0. What is r?
-15, 3/4, 1
Let i(c) be the second derivative of 3*c**5/80 + 3*c**4/16 + 3*c**3/8 + 3*c**2/8 + 25*c. Factor i(j).
3*(j + 1)**3/4
Let p be 3 - 1 - 0/1. Let a(s) = s**3 - 5*s**2 + 2. Let m be a(5). Let -3*x**m + 2*x**2 + 4*x + 3 + p*x**2 + 0*x**2 = 0. What is x?
-3, -1
Let p(t) be the first derivative of -t**3/3 - 24*t**2 - 576*t - 249. Suppose p(c) = 0. Calculate c.
-24
Let z(o) be the first derivative of -o**6/2880 - o**5/960 + o**4/96 + 8*o**3/3 - 6. Let x(d) be the third derivative of z(d). Factor x(f).
-(f - 1)*(f + 2)/8
Let w be -14 + 26 + -6 + 32/(-6). Solve 0 - w*k + 2*k**3 + 4/3*k**2 = 0.
-1, 0, 1/3
Suppose -58*i + 49*i = -36. Let p(s) be the third derivative of 0*s + 0 + s**2 + 0*s**i - 1/60*s**5 + 0*s**3. Factor p(q).
-q**2
Let r(z) be the first derivative of z**3/12 - 3*z**2/8 + z/2 - 221. Factor r(g).
(g - 2)*(g - 1)/4
Let c(u) be the third derivative of -u**7/1365 + 2*u**6/195 - u**5/65 - 2*u**4/39 + 7*u**3/39 - 122*u**2. What is q in c(q) = 0?
-1, 1, 7
Let p = 83 + -50. Let n = p - 31. Solve s**2 - 1 + 1 + s**n = 0.
0
Suppose 4*j + 113 = 4*v - 7*v, -4*j + v = 133. Let l be (-2)/(j/6)*2. Factor -l*b + 1/4 - b**2.
-(b + 1)*(4*b - 1)/4
Let p(y) be the third derivative of -y**5/60 + 3*y**4/4 - 17*y**3/6 - 2*y**2 - 4*y. Determine n, given that p(n) = 0.
1, 17
Let -15/2*l**2 - 9/2*l**3 + 3/2*l**5 + 0 + 3/2*l**4 - 3*l = 0. Calculate l.
-1, 0, 2
Suppose -5*d + 142 - 117 = 0. Suppose d*x + 2*r = 10*x - 6, -2*x - 3 = r. Factor 3/4*v**3 - 9/4*v**2 + x*v + 0.
3*v**2*(v - 3)/4
Let y(d) be the third derivative of -d**5/180 + 227*d**4/36 - 51529*d**3/18 - 12*d**2. Determine b so that y(b) = 0.
227
Let i = 13/40 - 1/8. Let z = 354 - 352. Determine r, given that 0 + 2/5*r**z + i*r = 0.
-1/2, 0
Let w(h) be the first derivative of 3/2*h**2 - h**3 - 9 + 0*h. Determine p so that w(p) = 0.
0, 1
Let p(o) be the third derivative of -o**8/1848 - 3*o**7/385 - 23*o**6/660 - 7*o**5/330 + 2*o**4/11 + 16*o**3/33 + 3*o**2 - 1. Suppose p(m) = 0. Calculate m.
-4, -1, 1
Let g(w) be the first derivative of w**6/6 - 9*w**5/5 + 9*w**4/2 + 18*w**3 - 243*w**2/2 + 243*w + 31. Determine c, given that g(c) = 0.
-3, 3
Let a(b) be the third derivative of 7*b**5/60 + 9*b**4/8 + 41*b**3/2 - 6*b**2. Let n(l) = 8*l**2 + 26*l + 122. Let v(z) = 6*a(z) - 5*n(z). Factor v(o).
2*(o + 8)**2
Suppose -4 = 2*b - 8. Suppose -d**2 + 0 - b*d**2 - 12 - 12*d = 0. What is d?
-2
Let a(v) be the first derivative of v**5/10 + v**4 + v**3 - 10*v**2 + 25*v/2 - 37. Factor a(z).
(z - 1)**2*(z + 5)**2/2
Suppose 0 = -26*b + 51*b - 100. Let o(m) be the first derivative of -4 - 18*m**2 - 24*m - 3/4*m**b - 6*m**3. Factor o(i).
-3*(i + 2)**3
Let b = -6506 + 26035/4. Factor 5/4*k + b*k**2 - 3/4 + 3/4*k**3.
(k + 1)*(k + 3)*(3*k - 1)/4
Suppose 4*x - 15*x = 3*x. Let g(i) be the third derivative of -1/84*i**4 + 2/21*i**3 - 1/210*i**5 + 0 + 13*i**2 + x*i. Factor g(r).
-2*(r - 1)*(r + 2)/7
Let w(t) be the first derivative of 0*t**2 - 1/5*t**5 + 0*t**4 - 13 + 2/3*t**3 - t. Factor w(l).
-(l - 1)**2*(l + 1)**2
Let r be (-6)/14 + (-297)/(-154). Solve -2/3*f - r*f**3 + 2*f**2 + 1/3*f**4 + 0 = 0 for f.
0, 1/2, 2
Let i(t) be the second derivative of t**5/330 - t**4/33 + 4*t**3/33 - 15*t**2 + 23*t - 1. Let p(x) be the first derivative of i(x). Factor p(q).
2*(q - 2)**2/11
Factor -45*d**2 + 87/2*d - 57/4 + 33/2*d**3 - 3/4*d**4.
-3*(d - 19)*(d - 1)**3/4
Let l(a) = 22*a**3 + 23*a**2 + 22*a - 7. Let x = -25 - -30. Let y(u) = -15*u**3 - 15*u**2 - 15*u + 5. Let s(r) = x*l(r) + 7*y(r). Find d such that s(d) = 0.
-1, 0
Let j(d) = -3*d**2 + 18*d - 15. Let k(l) be the second derivative of l**4/12 - l**3/6 - 43*l. Let i(p) = j(p) + 6*k(p). Factor i(v).
3*(v - 1)*(v + 5)
Factor -27/8 + 11/8*o**2 - 15/8*o - 1/8*o**3.
-(o - 9)*(o - 3)*(o + 1)/8
Let h(r) = 10*r**4 - 21*r**3 + 11*r**2 + r - 5. Let o(f) = 20*f**4 - 43*f**3 + 23*f**2 + 3*f - 10. Let m(v) = -7*h(v) + 4*o(v). Determine a so that m(a) = 0.
-1/2, 1
Let z be 0 + (-30)/50*(-2)/18. Let b(o) be the first derivative of 1/25*o**5 + 1/10*o**4 + z*o**3 + 0*o**2 + 0*o - 3. Factor b(y).
y**2*(y + 1)**2/5
Let z = -41 + 57. Let b be z/6 + (-14)/21. Factor -1/2*a + 0 - 1/2*a**3 + a**b.
-a*(a -