*(9*z + 2)**2/3
Let p(a) be the third derivative of -a**6/30 - 7*a**5/60 + 31*a**4/12 - 5*a**3/2 - a**2 + 5. Factor p(m).
-(m - 3)*(m + 5)*(4*m - 1)
Factor 2/3*d**2 - 148/3*d + 2738/3.
2*(d - 37)**2/3
Suppose 0 = u + 5*u - 12. Factor -20*w**3 - 3*w**4 - 8 - 8 - 48*w + 19*w**u - 67*w**2.
-(w + 2)**3*(3*w + 2)
Factor -1/7*o**3 + 20/7*o**2 - 576/7 - 48/7*o.
-(o - 12)**2*(o + 4)/7
Suppose 2*u - 3 = -l + 6, 5*u + 5*l = 20. Suppose -4*a - 3*d = -5*a + 17, u*d = -2*a - 21. Find i, given that 3/5 + 1/5*i**a + i - 1/5*i**3 = 0.
-1, 3
Suppose 14 = 2*b - 5*q, 2*b = -3*q - 4 + 2. Let o(f) be the second derivative of -6*f - 4*f**3 - 18*f**b - 1/3*f**4 + 0. Let o(i) = 0. What is i?
-3
Let o(w) = -11*w**2 + 8*w + 3. Let s(m) = -4*m**2 + 3*m + 1. Let q(x) = -3*o(x) + 8*s(x). Factor q(p).
(p - 1)*(p + 1)
Let n(t) = -3*t**3 - 6*t**2 + 5*t - 4. Let g(r) = 4*r**3 + 7*r**2 - 6*r + 5. Let o = 10 - 15. Let j(c) = o*n(c) - 4*g(c). Solve j(v) = 0.
0, 1
Let i(x) be the third derivative of -x**6/180 - x**5/18 + x**4/9 + 20*x**3/9 - 7*x**2 + 19. Determine g so that i(g) = 0.
-5, -2, 2
Determine c so that -162/7*c**2 - 3/7*c**3 - 17496/7 - 2916/7*c = 0.
-18
Factor -2/11 - 2/11*y**4 + 8/11*y**3 - 12/11*y**2 + 8/11*y.
-2*(y - 1)**4/11
Let j(r) be the second derivative of -1/18*r**3 - 1/60*r**5 + 0 + 0*r**2 + 3*r - 1/18*r**4. Solve j(a) = 0.
-1, 0
Suppose -2*x - x - 11 = -h, 4*h - 14 = 2*x. Factor -5*o**h + o**2 + 3*o**3 + 2 + 21*o - 26*o.
(o - 2)*(o + 1)*(3*o - 1)
Let d(p) = -1357*p**3 - 11747*p**2 + 3732*p - 283. Let y(o) = 2035*o**3 + 17621*o**2 - 5596*o + 425. Let s(n) = -7*d(n) - 5*y(n). Factor s(j).
-4*(j + 9)*(13*j - 2)**2
Let m = -30 - -34. Factor 5*a**3 - 5*a - 62*a**2 - a**m - 63*a**2 + 126*a**2.
-a*(a - 5)*(a - 1)*(a + 1)
Let s(x) be the third derivative of x**5/120 + x**4/6 + 5*x**3/4 - 2*x**2 + 31. Find a, given that s(a) = 0.
-5, -3
Let c = 24 + -21. Factor -6*x**2 - 43*x**3 + 39*x**c - 6*x**2 - 8*x.
-4*x*(x + 1)*(x + 2)
Let k(d) be the first derivative of d**4/4 - 4*d**3 - 14*d**2 + 3*d - 1. Let m be k(14). Factor 1/2 - 1/4*u**m - 1/2*u**2 + 1/4*u.
-(u - 1)*(u + 1)*(u + 2)/4
Suppose -3*x + 4*x + 1 = 0, 47 = 5*g + 3*x. Let n be (-280)/(-100) + (-8)/g. Factor -24/17*o**n - 4/17 - 18/17*o - 10/17*o**3.
-2*(o + 1)**2*(5*o + 2)/17
Let m = 69/62 - -12/31. Let w(u) be the second derivative of 3/10*u**6 - 1/2*u**4 + 5*u + 0 - 3/2*u**2 + 1/14*u**7 + 3/10*u**5 - m*u**3. Factor w(h).
3*(h - 1)*(h + 1)**4
Let h be (-2)/21 + 9 + 519/(-63). Let i(l) be the second derivative of 0 - 6*l - 1/6*l**4 + h*l**2 - 1/9*l**3. Factor i(a).
-2*(a + 1)*(3*a - 2)/3
Suppose 0 = -4*f + 39 - 31. Solve 15*b + 6*b**f - 11*b**3 - 3*b**5 + 6 - 9*b**4 - 3*b**4 - 9*b**3 + 8*b**3 = 0 for b.
-2, -1, 1
Let m be (-18)/22 + 1 - (-106)/22. What is t in -12*t + 21*t**m + 36*t**4 - 3*t**3 - 6*t**5 + t**2 - 37*t**2 = 0?
-2, -1, -2/5, 0, 1
Let s = -16/89 + 153/356. Factor -1/4 + 0*l + s*l**2.
(l - 1)*(l + 1)/4
Let d = 1107/2195 + 42/439. Factor 0 + 1/5*r**2 - d*r.
r*(r - 3)/5
Solve -28*i**2 - 200*i - 93*i**2 - 4*i**2 - 80 = 0.
-4/5
Let h(f) = f**4 - f**3 - 2*f**2. Let n(z) = 8*z**4 - 4*z**3 - 13*z**2 - 3*z - 2. Let q(t) = -35*h(t) + 5*n(t). Factor q(y).
5*(y - 1)*(y + 1)**2*(y + 2)
Let l be (-1)/(-30)*(2 + 0/4). Let z(o) be the third derivative of 0 - 1/75*o**5 + 11*o**2 + l*o**4 + 0*o + 0*o**3. Factor z(s).
-4*s*(s - 2)/5
Let b(y) = -y**2 - 11*y - 9. Let d be b(-8). Factor -d*u**5 - u + 4*u - 70*u**3 - 55*u**4 + 2*u + 5 - 30*u**2.
-5*(u + 1)**4*(3*u - 1)
Let t(d) = -28*d**2 + 48*d - 36. Let b(s) = -9*s**2 + 16*s - 12. Suppose 52 = -2*l + 5*n, -3*n = -7 - 5. Let a(f) = l*b(f) + 5*t(f). Solve a(m) = 0.
1, 3
Let y(w) = -2*w**3 - 18*w + 4. Let h(t) = -t**3 + t**2 - 13*t + 3. Let b(g) = 4*h(g) - 3*y(g). Let b(u) = 0. What is u?
-1, 0
Let f(a) be the first derivative of 0*a**2 + 0*a + 1/5*a**4 + 0*a**3 + 8 + 16/25*a**5. Determine p so that f(p) = 0.
-1/4, 0
Let h(c) be the first derivative of -2*c**3/3 + 383*c**2/5 + 308*c/5 - 245. Factor h(r).
-2*(r - 77)*(5*r + 2)/5
Let p(q) be the second derivative of -q**6/720 - q**5/60 - q**4/16 - 2*q**3/3 - 16*q. Let n(d) be the second derivative of p(d). Factor n(i).
-(i + 1)*(i + 3)/2
Let o = -151 - -151. Let y(a) be the third derivative of 5*a**2 + 1/20*a**5 + 0*a + 1/120*a**6 + o + 1/6*a**3 + 1/8*a**4. Suppose y(l) = 0. Calculate l.
-1
Let k be (-352)/(-28) - (4 + 8). Factor -4/7*a**4 - k*a**2 + 8/7*a**3 + 0 + 0*a.
-4*a**2*(a - 1)**2/7
Suppose 0 = 7*c + c - 147 + 131. Factor 8/5*r - 68/5*r**c + 0 + 32*r**3 - 64/5*r**4.
-4*r*(r - 2)*(4*r - 1)**2/5
Let r = 49 - 46. Find z, given that 6*z**3 + 11*z**r - 8*z**2 + 14*z**5 + 23*z**3 - 46*z**4 = 0.
0, 2/7, 1, 2
Factor 1/6*j**3 - 1/6*j**4 + 0*j - 1/6*j**5 + 0 + 1/6*j**2.
-j**2*(j - 1)*(j + 1)**2/6
Let r(v) = -v**3 + 4*v**2 + 1. Let k be r(-3). Suppose 0 = -2*n - 2*n + k. Factor -s + 19*s + 2*s - n*s**2 - 5 - 3 + 4*s**3.
4*(s - 2)*(s - 1)**2
Suppose -l = 4*t + 483, 0 = 9*t - 7*t + l + 243. Let g be (-115 - t) + (-94)/60*2. Solve -g*q - 98/15*q**2 - 2/15 = 0.
-1/7
Let j(q) be the first derivative of q**4/4 + 2*q**3 + 9*q**2/2 + 117. Determine v, given that j(v) = 0.
-3, 0
Let k(v) be the third derivative of 1/24*v**4 + 0 - 11*v**2 - 1/60*v**5 + 0*v + 0*v**3. Factor k(n).
-n*(n - 1)
Let w(f) be the third derivative of 1/240*f**6 + 0*f + 0 + 1/30*f**5 + 1/6*f**3 + 5/48*f**4 + 7*f**2. Factor w(y).
(y + 1)**2*(y + 2)/2
Let q(b) be the first derivative of b**4/4 - 10*b**3/3 - 11*b - 26. Let y(c) = -c**3 + 5*c**2 + 6. Let n(v) = -6*q(v) - 11*y(v). Suppose n(h) = 0. What is h?
-1, 0
Find m, given that 1/2*m - 1/2*m**3 - 1/3*m**2 + 1/3 = 0.
-1, -2/3, 1
Let l = 139 + -137. Let j(n) be the first derivative of -5 + 0*n + 2/9*n**6 - 1/9*n**3 + 0*n**l + 1/6*n**4 + 7/15*n**5. Factor j(d).
d**2*(d + 1)**2*(4*d - 1)/3
Let f(j) be the third derivative of 0 + 5/16*j**4 - 5/6*j**3 + 0*j - 1/24*j**5 + j**2. Factor f(g).
-5*(g - 2)*(g - 1)/2
Solve 8*l - 5*l**3 + 63*l**2 - 21*l**2 - 20*l**2 - l**4 - 24*l**2 = 0 for l.
-4, -2, 0, 1
Let k = 20 + -29. Let c be ((-1)/k)/((-2)/(-12)). Factor c + 0*u**3 - 4/3*u**2 + 0*u + 2/3*u**4.
2*(u - 1)**2*(u + 1)**2/3
Let a(h) be the third derivative of -1/33*h**3 + 0 + 1/660*h**6 + 1/330*h**5 + 0*h - 1/132*h**4 - 21*h**2. Factor a(x).
2*(x - 1)*(x + 1)**2/11
Determine c, given that 3*c + 16*c**2 - 2 - 2*c**3 - 992*c**4 + 17*c**3 + 996*c**4 = 0.
-2, -1, 1/4
Let m(v) be the first derivative of v**6/39 + 18*v**5/65 + 10*v**4/13 - 40*v**3/39 - 96*v**2/13 - 128*v/13 - 88. Determine u so that m(u) = 0.
-4, -2, -1, 2
Let g(a) be the first derivative of 6*a**5/5 - 10*a**4 + 26*a**3 - 30*a**2 + 16*a - 623. Determine j, given that g(j) = 0.
2/3, 1, 4
Let b(z) be the second derivative of 9*z**5/5 - 7*z**4/3 - 40*z**3/3 - 8*z**2 + z + 136. Solve b(y) = 0 for y.
-1, -2/9, 2
Suppose 3 = -3*h, -4*a = -2*a - 3*h - 9. Let n(t) = 2*t. Let r be n(a). Find j such that 2*j**4 + j**3 - 2*j**4 - 2*j**4 - r*j**2 + 5*j**3 + 2*j = 0.
0, 1
Let k(p) be the second derivative of -1/4*p**4 - 1/50*p**6 + 0*p**2 + 1/5*p**3 - 32*p + 3/25*p**5 + 0. Factor k(d).
-3*d*(d - 2)*(d - 1)**2/5
Suppose -v = 4*f, -2*f = 2*v - v - 2. Suppose -27 = -3*a - 12. Factor 8 - 4 + a*m**v + 8*m - 6*m**4 + m**2 - 5*m**3 + m**5.
(m - 2)**2*(m + 1)**3
Let t = 63 - 60. Let w(p) be the third derivative of 0*p**4 + 0*p + 0 + 1/180*p**6 - 1/504*p**8 + 0*p**t - 1/315*p**7 - p**2 + 1/90*p**5. Factor w(i).
-2*i**2*(i - 1)*(i + 1)**2/3
Suppose -s + 2*h + 25 = 0, 4*h = -20 + 8. Let g = 23 - s. Suppose -2*m**4 - g*m**3 + 9*m**2 + 84 - 3*m**2 + 8*m - 92 = 0. Calculate m.
-2, 1
Suppose 373 + 143 = 125*y + 16. Factor 1/3*f**y + 1/3*f**3 - 1/3*f**2 - 1/3*f + 0.
f*(f - 1)*(f + 1)**2/3
Let n(w) be the third derivative of -w**7/21 - 29*w**6/60 - 13*w**5/10 - 11*w**4/12 + 4*w**3/3 + 103*w**2. Solve n(g) = 0.
-4, -1, 1/5
Let r(q) = q**3 - 6*q**2 + 8*q - 6. Let g be r(4). Let t be g/(-27) - (-64)/(-936). Determine y so that 0 - t*y**2 + 4/13*y = 0.
0, 2
Let r(z) = z**3 - 19*z**2 + 19*z - 13. Let d be r(18). Let s = 6 + -4. Solve 4*o**2 + 3*o**2 + d*o**s - 5*o**3 + o**3 = 0 for o.
0, 3
Let t(a) be the third derivative of a**8/80640 + a**7/20160 + a**5/6 + 6*a**2. Let p(i) be the third derivative of t(i). Factor p(g).
g*(g + 1)/4
Let v = -54/65 - -16/13. Let b be (14/5 - 2)*6. Determine 