
-w*(4*w - 1)/4
Let z = 10417/24 - 434. Let i(u) be the second derivative of -1/12*u**3 + z*u**4 - 10*u + 0 + 0*u**2. Factor i(y).
y*(y - 1)/2
Let a(o) be the third derivative of -o**5/480 - o**4/12 - o**3 + 13*o**2 + 10. Factor a(q).
-(q + 4)*(q + 12)/8
Suppose 4*x + 5*x - 5*x = 0. Factor x + 1/2*o + 1/2*o**3 + o**2.
o*(o + 1)**2/2
Let a(s) = s**3 + 10*s**2 - 2*s - 15. Let v be a(-10). Factor 2*l**2 + l**5 - 2*l**4 - 2*l**3 + l**5 + 0*l**v.
2*l**2*(l - 1)**2*(l + 1)
Let w(g) be the third derivative of -1/8*g**4 + 0 - 1/160*g**5 - 20*g**2 + 0*g - g**3. Factor w(j).
-3*(j + 4)**2/8
Suppose 2*j + 0 = 4. Factor 3*x**4 - 4*x**j - 2*x + 2*x + 7*x**2 + 6*x**3.
3*x**2*(x + 1)**2
Let g(r) = -r**3 + 9*r**2 - 7*r - 7. Let p be g(8). Let j be (-14)/(-130) + p/5. Find f, given that -j + 4/13*f**2 + 2/13*f**3 - 2/13*f = 0.
-2, -1, 1
Factor 8*m - 51*m**2 - 52*m**3 - 19*m**4 - 6 + 8 - 3*m**3 - 21*m.
-(m + 1)**3*(19*m - 2)
Let q be 11/(-22) + 43/80. Let z(f) be the third derivative of 0*f + f**2 - q*f**5 + 0 + 1/16*f**4 - 1/24*f**3. Factor z(x).
-(3*x - 1)**2/4
Let g be 738 - 730 - (-46)/(-6)*1. Determine b, given that 4/3 + 2/3*b**2 - 7/3*b + g*b**3 = 0.
-4, 1
Suppose -2*k = 5*k. Let g = -1 + 3. Let -2*b**2 + 8*b**5 + 8*b**g + k*b**2 + 2*b + 0*b**5 - 10*b**3 - 6*b**4 = 0. Calculate b.
-1, -1/4, 0, 1
Let v(x) = x**2 + 5. Let y be v(0). Suppose -y*w + 3*w + 5 = d, -d - 15 = -3*w. What is k in -2*k**4 + 6*k**2 + 15*k**3 - w*k - 15*k**3 = 0?
-2, 0, 1
Suppose 3*g = -5*p + 15 + 8, 0 = -2*p + 3*g + 5. Suppose -p*j + 25 = j. Solve -2 - n**2 + 2*n - j*n + 0*n = 0 for n.
-2, -1
Let p(s) be the first derivative of -3/11*s**2 - 33 + 5/33*s**3 + 1/11*s. Solve p(i) = 0.
1/5, 1
Suppose -5*n**5 + 7*n**5 - 4*n**3 + 2 - 188*n - n**2 + 190*n + 2*n**4 - 3*n**2 = 0. Calculate n.
-1, 1
Let q(n) be the third derivative of n**7/1470 - n**6/280 - n**5/210 + n**4/14 - 4*n**3/21 + 26*n**2. Factor q(r).
(r - 2)**2*(r - 1)*(r + 2)/7
Let o(j) be the first derivative of 4/3*j**3 + 0*j + 3*j**4 + 0*j**2 - 7/5*j**5 + 2. Factor o(m).
-m**2*(m - 2)*(7*m + 2)
Factor 120 + 54*r - 138*r + 5*r**2 + 0*r**2 + 34*r.
5*(r - 6)*(r - 4)
Let b be 110 + (16/(-7) - (-6)/21). Let q be (2/(-8))/((-6)/b) + -3. Factor 0 - r**2 - 1/2*r**3 + q*r.
-r*(r - 1)*(r + 3)/2
Factor 120*l + 613662*l**2 - 613663*l**2 + 66*l - 8649.
-(l - 93)**2
Let c = -43516 - -391646/9. Factor 2/9*s**3 - 2/9*s - c*s**2 + 2/9.
2*(s - 1)**2*(s + 1)/9
Let y(n) be the second derivative of -n**4/36 + 10*n**3 - 262*n. Factor y(v).
-v*(v - 180)/3
Suppose -4*w = -0*h - h - 16, -4*h + 4 = w. Suppose t**5 + 4*t**2 - 10 + 11*t + 10 - 14*t - w*t**4 + 2*t**3 = 0. Calculate t.
-1, 0, 1, 3
Let l(f) be the third derivative of -f**8/168 - 4*f**7/35 - 9*f**6/10 - 18*f**5/5 - 27*f**4/4 + 5*f**2 - 9. Factor l(w).
-2*w*(w + 3)**4
Factor 5/3*o**2 + 80/3 + 50/3*o.
5*(o + 2)*(o + 8)/3
Let m = -10 + 75/8. Let v = 17/8 + m. Factor -q**3 + 1/2 + q - 2*q**2 + v*q**4.
(q - 1)**2*(q + 1)*(3*q + 1)/2
Let q = -22 + 26. Factor -2*z**4 - 105*z**2 - q*z**3 + 109*z**2 - 6*z**4.
-4*z**2*(z + 1)*(2*z - 1)
Let i(r) = -r - r + 2*r + 32 + 4*r. Let m be i(-8). Factor 2/5*s**2 + m*s + 2/5*s**3 - 2/5*s**4 + 0 - 2/5*s**5.
-2*s**2*(s - 1)*(s + 1)**2/5
Let l be (-252)/1890*(0 + -15). Factor -m + 4/3*m**l - 1/3.
(m - 1)*(4*m + 1)/3
Let x(f) be the second derivative of -f**5/180 + 25*f**4/36 - 76*f**3/3 - 722*f**2/9 + 2*f + 21. Determine p so that x(p) = 0.
-1, 38
Let x = 24 + -18. Let h = x - 47/8. Factor -1/4*t + h*t**2 + 0.
t*(t - 2)/8
Let y(p) be the second derivative of 7*p**5/2 - 9*p**4/4 + p**3/3 - 5*p - 4. Factor y(c).
c*(7*c - 2)*(10*c - 1)
Let x(y) be the first derivative of -y**6/96 + y**5/16 - 5*y**3/6 + 3*y**2/2 + 1. Let r(f) be the second derivative of x(f). Let r(m) = 0. Calculate m.
-1, 2
Let b(q) be the first derivative of -1/11*q**2 + 1/11*q + 7 + 1/33*q**3. Determine p, given that b(p) = 0.
1
Let r(y) = y**3 - 19*y**2 + 20*y - 29. Let l be r(18). Let j be 4/1 - 24/l. Suppose -4/7*a - 1/7*a**2 - j = 0. Calculate a.
-2
Let x be (-210)/15 - (-820)/30. Find j, given that 16/3*j**5 + x*j + 169/3*j**3 - 4/3 - 88/3*j**4 - 133/3*j**2 = 0.
1/4, 1, 2
Suppose i = 3, -4*l - 3*i = -l - 21. Suppose -l*s + 6 = -s. Factor -27/2 - 3/2*u**s + 9*u.
-3*(u - 3)**2/2
Let a(c) be the first derivative of c**6/12 + c**5/2 + 9*c**4/8 + 7*c**3/6 + c**2/2 - 107. Find o, given that a(o) = 0.
-2, -1, 0
Suppose 0 = 6*h - 637 + 613. Let n(f) be the third derivative of 0*f - 1/7*f**h + 0 + 4/21*f**3 + 3*f**2 - 1/30*f**5. Let n(y) = 0. Calculate y.
-2, 2/7
Suppose 2*y = -4*o - y + 51, -4*o + 5*y = -75. Suppose -2*u + 9 - 3 = 5*f, o = 5*u + 4*f. Factor 2*t**3 + 6*t**2 - 3*t**2 - 8*t**u + 3*t**4.
3*t**2*(t - 1)**2
Solve -21/4*u**2 - 25 - 24*u + 1/4*u**3 = 0 for u.
-2, 25
Let q be 2/(-80)*(6 + 110/(-15)). Let n(w) be the third derivative of 0*w + 0*w**3 + 0 - q*w**4 + 11/150*w**5 - 6*w**2. Factor n(a).
2*a*(11*a - 2)/5
Let o be (-12)/(-108) + (-1)/(-9). Let c(k) be the first derivative of 1/3*k**4 + 7 + 0*k**2 + 8/15*k**5 + 0*k**3 + o*k**6 + 0*k. Factor c(x).
4*x**3*(x + 1)**2/3
Let b(w) be the third derivative of w**8/168 + w**7/35 - w**6/60 - w**5/10 + 57*w**2. Factor b(f).
2*f**2*(f - 1)*(f + 1)*(f + 3)
Suppose -2*c + 2 = -4. Let k = 87/2 + -431/10. Find g, given that 6/5*g + 6/5*g**2 + k + 2/5*g**c = 0.
-1
Factor 9/2*g**3 - 1/2*g**4 + 33/2*g**2 + 35/2*g + 6.
-(g - 12)*(g + 1)**3/2
Let b = -553 + 2656. Factor 20*v**4 + 17*v**3 + 4*v**5 + 16*v**2 - 2103*v + 15*v**3 + b*v.
4*v**2*(v + 1)*(v + 2)**2
Let v(t) = 15*t**2 + 4*t - 4. Let s be v(1). Suppose 5*m + 5*z + s = 0, 2*m = -z - 3*z - 16. Let -2/21*y**m + 0 - 4/21*y + 2/21*y**3 = 0. What is y?
-1, 0, 2
Determine a, given that -2*a - 2/3*a**3 - 2/3 - 2*a**2 = 0.
-1
Let w(j) = -2*j**3 - 5*j**2 - 4*j - 2. Let p be w(-3). Let f = p - 19. Factor 1/4*m + 1/8*m**3 + 3/8*m**2 + f.
m*(m + 1)*(m + 2)/8
Let a(c) be the second derivative of -1 - 5/14*c**3 + 57*c + 1/28*c**4 + 6/7*c**2. Determine o, given that a(o) = 0.
1, 4
Suppose 0 = 4*u - 4, 2*z - 4*u = u - 5. Let w be 4 - 1*(2 + z). Determine y so that -2*y**3 - y**2 - 2 + 27*y - 25*y + 3*y**w = 0.
-1, 1
Let g(q) be the first derivative of -12 - 2/21*q**3 + 1/7*q**2 + 0*q. Factor g(z).
-2*z*(z - 1)/7
Let i(p) be the first derivative of p**5/180 + p**4/18 + 5*p**2 - 23. Let j(a) be the second derivative of i(a). Find v such that j(v) = 0.
-4, 0
Let o(i) = 11*i**2 + 4*i. Let d be o(0). Let -2*x**3 - 32/3*x**2 + 32/3*x**4 + d - 8/3*x + 14/3*x**5 = 0. What is x?
-2, -1, -2/7, 0, 1
Let n(z) be the first derivative of -z**8/5040 + z**7/840 - z**5/90 - 22*z**3/3 - 29. Let q(i) be the third derivative of n(i). Find r, given that q(r) = 0.
-1, 0, 2
Let k be 73/10 - 2/(-10). Suppose 108 = -69*r + 87*r. Factor -3/2 + k*z**2 - r*z.
3*(z - 1)*(5*z + 1)/2
Suppose 0 - 2/13*a**3 + 0*a + 2/13*a**5 - 4/13*a**2 + 4/13*a**4 = 0. Calculate a.
-2, -1, 0, 1
Let j(w) be the second derivative of -w**6/75 + w**5/25 - 2*w**3/15 + w**2/5 + 395*w. Factor j(v).
-2*(v - 1)**3*(v + 1)/5
Let a(u) = -2*u**5 - 3*u**4 - 4*u**3 - 3*u**2 + 3*u + 3. Let r(y) = -6*y**5 - 8*y**4 - 10*y**3 - 8*y**2 + 8*y + 8. Let p(v) = 8*a(v) - 3*r(v). Factor p(f).
2*f**3*(f - 1)*(f + 1)
Suppose 0 = -4*y + 7 + 5. Suppose -y*k = -7 + 1. Suppose -2*j**2 + 8*j**4 + 4*j**4 + 3 - 9*j**3 - 13*j**k + 9*j = 0. Calculate j.
-1, -1/4, 1
Let g(s) be the second derivative of s**5/190 + 11*s**4/114 + 10*s**3/57 + 15*s. Factor g(u).
2*u*(u + 1)*(u + 10)/19
Let u(i) be the third derivative of -i**11/831600 - i**10/189000 - i**9/151200 - i**5/5 + i**2. Let h(o) be the third derivative of u(o). What is f in h(f) = 0?
-1, 0
Suppose 2*v - 5*v - 5*q - 1 = 0, -2*v + 2*q = -10. Let d be 4*(-2)/24*-2*v. Find g such that 0 + 1/4*g + 1/4*g**d = 0.
-1, 0
Let i(q) be the second derivative of q**6/75 - q**4/2 + 2*q**3/3 + 24*q**2/5 - 303*q. Find g, given that i(g) = 0.
-4, -1, 2, 3
Suppose 2*k + 2*q = 6, 3*q = -3*k - q + 9. Let i(m) be the first derivative of 16/9*m + 20/9*m**k - 25/18*m**4 + 4*m**2 + 7. Let i(c) = 0. What is c?
-2/5, 2
Let t(r) = -40*r - 4 + 39*r - 3 + 30. Let s be t(20). Factor 1/3*x**s - 2/3*x**2 + 1/3*x + 0.
x*(x - 1)**2/3
Let q(n) = 2*n - 14. Let l be q(12). Let y be (-8)/(-2) - (10 - l). Let 0*k + y*k**4 + 2*k**5 - 4*k + 4*k = 0. What is k?
-2, 0
Suppose -254*a + 