= -4*a, -3*a + 26 = a + 5*b. Suppose p = 3*p - a. Factor 0 - 10/7*q**p + 8/7*q**3 + 2/7*q.
2*q*(q - 1)*(4*q - 1)/7
Factor -4*b**3 + b**4 - 941*b + 4*b**2 + 941*b.
b**2*(b - 2)**2
Let p(k) = -k + 1. Let v be p(1). Factor v + 0*j + 1/5*j**2 + 1/5*j**4 - 2/5*j**3.
j**2*(j - 1)**2/5
Factor -2/9 + 28/9*c + 8/3*c**3 - 50/9*c**2.
2*(c - 1)**2*(12*c - 1)/9
Let m(o) = -4*o + 9. Let n(y) = -9*y + 19. Let u(l) = -5*m(l) + 2*n(l). Let v be u(5). Determine p so that 0 + 3/5*p**4 + 9/5*p**v + 3/5*p + 9/5*p**2 = 0.
-1, 0
Let g(q) = -q**2 - 4*q + 60. Let z be g(-10). Solve -2/7*h**4 + 0*h + z - 2/7*h**2 + 4/7*h**3 = 0.
0, 1
Let f(k) be the second derivative of k**6/3 - 23*k**5/10 + 25*k**4/6 - k**3/3 - 6*k**2 + 8*k. Determine s, given that f(s) = 0.
-2/5, 1, 3
Let z be 6/(-15) + (-8)/(-20). Factor -2*f + 3*f**4 + 2*f**2 + z*f**2 + 0*f**3 + 2*f**3 - 5*f**4.
-2*f*(f - 1)**2*(f + 1)
Let k(t) = -t**2 + t. Let w(c) = 2*c**2 - 15*c + 8. Let d(r) = -5*k(r) - w(r). Factor d(b).
(b + 4)*(3*b - 2)
Let j(k) be the second derivative of -k**5/5 - 2*k**4/3 + 8*k**3/3 + 16*k**2 + 29*k. Factor j(m).
-4*(m - 2)*(m + 2)**2
Let o be ((-10)/(-35))/(6/56). Factor -8/9 - 2*k**2 - o*k.
-2*(3*k + 2)**2/9
Let q(k) be the first derivative of -k**3/4 + 15*k**2/8 - 9*k/2 - 8. Factor q(u).
-3*(u - 3)*(u - 2)/4
Let m(u) be the first derivative of u**6/30 - u**4/20 + 20. Factor m(p).
p**3*(p - 1)*(p + 1)/5
Find s such that -3/2*s**4 + 12*s**3 - 24 - 36*s**2 + 48*s = 0.
2
Factor -1/7*b**2 + 30/7*b - 225/7.
-(b - 15)**2/7
Let f(a) = a**2 + a - 5. Let r be f(-5). Let t be 8/5 + 6/r. Factor -s**3 + 1/4*s - 3/4*s**t + 0.
-s*(s + 1)*(4*s - 1)/4
Let h(k) be the third derivative of -1/8*k**4 + 0*k - 9/20*k**7 - 7/64*k**8 + 0*k**3 + 0 - 109/160*k**6 - 9/20*k**5 + 3*k**2. Factor h(g).
-3*g*(g + 1)**2*(7*g + 2)**2/4
Factor 2/3 + 2/3*q**2 - 4/3*q.
2*(q - 1)**2/3
Factor 12*a**2 + 8 - 7 + 4*a - 3 - 6.
4*(a + 1)*(3*a - 2)
Factor 4/3 - 1/3*u**2 - u.
-(u - 1)*(u + 4)/3
Let r(f) = -2*f + 3. Let v be r(0). Factor 0*i**3 - i - 3*i**v + 5*i**3 - i**5.
-i*(i - 1)**2*(i + 1)**2
Let q = -45/2 - -93/4. Solve 0 - 1/2*c + q*c**4 - 1/2*c**3 - 7/4*c**2 = 0.
-1, -1/3, 0, 2
Let c = -7 + 9. Let s(j) be the third derivative of 1/3*j**3 - 1/30*j**5 - c*j**2 + 0 - 1/60*j**6 + 1/12*j**4 + 0*j. Find k, given that s(k) = 0.
-1, 1
Let v(f) = f**2 + 2*f + 2. Let s be v(-2). Let c = -4 + 6. Factor -2*l**3 - l**5 + 3*l - 3*l**c - 3*l**4 - 1 + l**s + 6*l**4.
-(l - 1)**4*(l + 1)
Let d(a) be the first derivative of -a**5/20 + a**4/8 + a**3/4 - a**2 + a - 35. Find p such that d(p) = 0.
-2, 1, 2
Determine z so that -2*z + 2 + 1/2*z**2 = 0.
2
Factor 10/3*j + 25 + 1/9*j**2.
(j + 15)**2/9
Suppose -4*m + 6*m = 4*o + 6, -o - 3*m + 9 = 0. Let o*p - 10*p**4 - 13*p**2 - p**2 - 2*p**5 + 18*p**3 + 4*p + 4*p**5 = 0. Calculate p.
0, 1, 2
Let c(a) = -28*a**3 - 80*a**2 - 172*a. Let l(j) = j**3 + j**2 - j. Let x(u) = c(u) + 24*l(u). Let x(b) = 0. What is b?
-7, 0
Let r(o) be the third derivative of 11*o**5/30 + 3*o**4/4 - 2*o**3/3 - 13*o**2. Factor r(z).
2*(z + 1)*(11*z - 2)
Factor p**3 + 2/3*p + 0 - 7/3*p**2.
p*(p - 2)*(3*p - 1)/3
Let u(n) be the first derivative of -3 - 1/3*n**6 + 2/3*n**3 + 1/2*n**4 + 0*n - 2/5*n**5 + 0*n**2. Factor u(o).
-2*o**2*(o - 1)*(o + 1)**2
Let n(q) be the first derivative of q**5/135 + q**4/36 + q**3/27 + 2*q**2 + 5. Let j(l) be the second derivative of n(l). Factor j(i).
2*(i + 1)*(2*i + 1)/9
Let j be -4*19/2*-5. Let n be j/4 - (1 - 3). Find b, given that -18*b**2 + 103/2*b**3 + 0 + 14*b**5 - n*b**4 + 2*b = 0.
0, 1/4, 2/7, 1, 2
Let o = 3 + 2. Factor 0*h - 6 - 2*h + 3*h**2 + o*h.
3*(h - 1)*(h + 2)
Let d(u) be the third derivative of -1/30*u**5 + 0*u + 4*u**2 - 1/12*u**4 + 1/3*u**3 + 1/60*u**6 + 0. Let d(v) = 0. What is v?
-1, 1
What is j in 5 - j**3 - j - j - 3*j**2 - 5 = 0?
-2, -1, 0
Let f(x) be the third derivative of x**6/960 + x**5/120 + 5*x**4/192 + x**3/24 + 18*x**2. Solve f(b) = 0.
-2, -1
Let b be (-12)/(-22) + (-129)/(-66). Factor 1 + 2*k**2 - 1/2*k**3 - b*k.
-(k - 2)*(k - 1)**2/2
Let w(k) be the third derivative of k**7/1680 - k**6/960 - k**5/480 + k**4/192 - 4*k**2. Factor w(j).
j*(j - 1)**2*(j + 1)/8
Let l(b) be the first derivative of -5*b**4/4 + 7*b**3/3 + b**2/2 - 2. Let z(c) = 5*c**3 - 7*c**2. Let r(q) = 2*l(q) + 3*z(q). Factor r(n).
n*(n - 1)*(5*n - 2)
Let a = -7 - -7. Let n(z) be the first derivative of -z**2 + a*z**3 + 1/2*z**4 + 2 + 0*z. Factor n(x).
2*x*(x - 1)*(x + 1)
Let x(d) be the first derivative of -3/2*d**2 - 3/5*d**3 + 5 + 6/5*d. Factor x(o).
-3*(o + 2)*(3*o - 1)/5
Let a(r) = 1. Let t(p) = 88*p**2 + 6*p - 10. Let d(m) = 6*a(m) + t(m). Factor d(j).
2*(4*j + 1)*(11*j - 2)
Let j(o) be the first derivative of -o**3/21 - 5*o**2/7 - 25*o/7 + 19. Factor j(g).
-(g + 5)**2/7
Let v be 0 - ((1 - 1) + -5). Suppose 4*r - 20 = -k, 5*r + 2*k - 23 - v = 0. Suppose 4*x**5 - 2*x + 8*x**r - 5*x**2 + x + 2*x**3 - x**3 + 1 = 0. What is x?
-1, 1/2
Let c(p) be the third derivative of -7/12*p**4 - 7/30*p**5 - 1/30*p**6 + 0*p - 2/3*p**3 + 2*p**2 + 0. Solve c(y) = 0 for y.
-2, -1, -1/2
Let d(o) = 2*o**2 + 3*o + 1. Let x be d(-2). Let f = -1 + 3. Factor x*w - w + 6*w**f + 2*w**2 + 6*w**3.
2*w*(w + 1)*(3*w + 1)
Let k(s) = -s**3 - s**2 + s - 1. Let q(i) = -6*i**3 + 6*i**2 - 30*i + 20. Let r(y) = 10*k(y) - 2*q(y). Let r(c) = 0. Calculate c.
1, 5
Let 4*u - 3*u**3 - 31*u - 3*u**2 + 5*u**2 + 16*u**2 = 0. Calculate u.
0, 3
Let o(g) be the second derivative of g**6/90 + g**5/15 + g**4/12 + 2*g. Factor o(p).
p**2*(p + 1)*(p + 3)/3
Let c(x) be the first derivative of 1/6*x**3 + 0*x + 1/4*x**2 - 10. Factor c(t).
t*(t + 1)/2
Let b = 11/4 - 113/44. Let f(y) be the second derivative of -1/66*y**4 + y - b*y**2 + 1/11*y**3 + 0. Factor f(g).
-2*(g - 2)*(g - 1)/11
Suppose 0*t - 4 = -4*t. Let s be (-3 - (-3)/t)*-1. Factor -r + 0*r + s + r**2 + 0.
r*(r - 1)
Let u(d) = d**4 + 51*d**3 - 61*d**2 + 31*d - 11. Let h(z) = 6*z + 2*z**3 + 12*z**3 - 12*z**2 - 2 - 4*z**3. Let i(r) = 11*h(r) - 2*u(r). Factor i(t).
-2*t*(t - 2)*(t - 1)**2
Let m = 249 - 249. Suppose 0 + m*c - 2/15*c**5 + 0*c**2 - 8/15*c**3 + 8/15*c**4 = 0. Calculate c.
0, 2
Let b be (-45)/120 + (-138)/(-112). Suppose b*t**2 + 2/7 + 2/7*t**3 + 6/7*t = 0. What is t?
-1
Let p(f) = -2*f**2 - 2*f + 1. Let n(m) = m**2. Let c(j) = j + 4. Let a be c(-5). Let d(z) = a*p(z) + n(z). Solve d(v) = 0 for v.
-1, 1/3
Let t(o) be the second derivative of 4/75*o**6 + 2/25*o**5 + 0 - 3*o + 14/15*o**3 - 8/15*o**4 - 4/5*o**2 - 2/105*o**7. Find u such that t(u) = 0.
-2, 1
Suppose 0 = -a + 5*i + 30, 3*i = 2*i - 5. Let -2/3 - 4/3*r**3 + 2*r**4 - 4/3*r**2 + 2*r - 2/3*r**a = 0. Calculate r.
-1, 1
Let o be 2/(-11) + 225/330. Let j(r) be the first derivative of 0*r - 2/3*r**6 + 0*r**2 - o*r**4 + 6/5*r**5 + 0*r**3 - 1. Factor j(a).
-2*a**3*(a - 1)*(2*a - 1)
Let o(x) = -x**2 + 10*x - 9. Let a be o(8). Suppose -a*q = -10*q. Find r, given that 0*r**2 + q + 2/3*r**3 - 2/3*r = 0.
-1, 0, 1
Let i(r) be the third derivative of -7*r**6/40 + r**5/10 + 7*r**4/8 - r**3 - r**2. Factor i(y).
-3*(y - 1)*(y + 1)*(7*y - 2)
Let t(z) = -z**2 - 6*z + 9. Let l be t(-7). Suppose 3*p - l = -0*p - 2*x, -2*p = -4*x + 4. Solve p*u + 1/3*u**3 + 1/3*u**2 + 0 = 0 for u.
-1, 0
Let a be ((-9)/(-8))/(222/148). Let -3/4*j - 1/4*j**2 + 1/2 + a*j**3 - 1/4*j**4 = 0. Calculate j.
-1, 1, 2
Let r(x) be the third derivative of -x**8/4200 + x**6/900 - x**3/2 + 3*x**2. Let d(v) be the first derivative of r(v). Factor d(h).
-2*h**2*(h - 1)*(h + 1)/5
Let s(v) = -v**4 - v**3 + v**2. Let y(m) = 2*m**4 + 2*m**3 - 3*m**2. Let d(n) = -3*s(n) - 3*y(n). Factor d(i).
-3*i**2*(i - 1)*(i + 2)
Let q(d) be the first derivative of -d**7/3360 - d**6/1440 + d**5/480 + d**4/96 + d**3 - 1. Let a(s) be the third derivative of q(s). Solve a(f) = 0.
-1, 1
Let v(q) = -11*q**4 + 14*q**3 + 9*q**2 - 84*q. Let a(h) = -100*h**4 + 125*h**3 + 80*h**2 - 755*h. Let y(j) = 6*a(j) - 55*v(j). Determine m, given that y(m) = 0.
-2, 0, 3
Let f(n) be the second derivative of n**6/900 + n**5/300 + n**3/2 + 3*n. Let u(v) be the second derivative of f(v). Suppose u(w) = 0. What is w?
-1, 0
Factor 24*s**4 + 38*s**2 + 4*s**5 + 14 + 36*s - 6 + 56*s**3 + 26*s**2.
4*(s + 1)**4*(s + 2)
Let q(i) be the first derivative of -i**5/30 - i**4/6 - i**3/18 + i**2/2 + 67. Factor q(x).
-x*(x - 1)*(x + 2)*(x 