 Let w(b) = 12 - 4 + 4*b + 8*b**2 - 5*b + 3*b. Let x(p) = -23*p**2 - 5*p - 23. Let u(h) = t*x(h) - 17*w(h). Factor u(g).
2*(g - 1)**2
Factor 100*o**3 + 14*o**5 - 60*o**4 + 19*o + 22*o - 4 - 80*o**2 - 11*o.
2*(o - 1)**4*(7*o - 2)
Let a be (-66)/396 - ((-10)/(-12))/(-5). What is m in 3/4*m**2 + 3/8*m**3 + 0 + a*m = 0?
-2, 0
Let d(j) be the third derivative of j**8/2856 - j**6/340 - j**5/255 + 8*j**2. Factor d(p).
2*p**2*(p - 2)*(p + 1)**2/17
Let o(x) = x - 2. Let n be o(7). Let k(q) = -q + 7. Let w be k(0). Factor n*m - 9*m**2 - 7*m**3 - w*m**2 - 2 - 16*m.
-(m + 1)**2*(7*m + 2)
Let o(r) be the third derivative of -r**6/240 - r**5/30 - r**4/12 - 22*r**2. Factor o(y).
-y*(y + 2)**2/2
Let c(y) = -2*y**3 + 7*y**2 + 3*y - 3. Let u(v) = v**3 - 4*v**2 - v + 1. Let q(p) = -3*c(p) - 5*u(p). Factor q(m).
(m - 2)*(m - 1)*(m + 2)
Let g(t) = t**2 - t + 1. Suppose -1 = -3*r + 5. Let x be g(r). Find y, given that 6*y + 0 - x + 0*y**2 - 3*y**2 = 0.
1
Let j(o) be the first derivative of 5*o**4/4 - 40*o**3/3 - 95*o**2/2 - 50*o + 8. Let j(p) = 0. Calculate p.
-1, 10
Let a(d) be the first derivative of -d**6/6 - 13*d**5/20 - 11*d**4/16 - d**3/6 + 17. Let a(m) = 0. Calculate m.
-2, -1, -1/4, 0
Let o(g) be the third derivative of g**6/30 + g**5/15 - g**4/3 - 10*g**2. Solve o(m) = 0 for m.
-2, 0, 1
Let n(x) = 3*x**5 - 3*x**4 + 7*x**3 - 3*x**2 + 2. Let a(y) = -4*y**5 + 2*y**4 - 7*y**3 + 3*y**2 - 3. Let q(j) = -4*a(j) - 6*n(j). Factor q(g).
-2*g**2*(g - 3)*(g - 1)**2
Let b be 1/((-6)/28*(-7)/6). Let x(t) be the third derivative of 1/60*t**5 + 0 + 1/12*t**b + 0*t**3 + 0*t - 2*t**2. Suppose x(d) = 0. Calculate d.
-2, 0
Let d(h) be the third derivative of h**5/60 + h**4/2 + 6*h**3 + h**2. Suppose d(g) = 0. Calculate g.
-6
Let z(d) be the third derivative of 1/300*d**6 + 0*d**4 - 1/525*d**7 + 0*d**3 + d**2 - 1/840*d**8 + 1/150*d**5 + 0 + 0*d. Factor z(m).
-2*m**2*(m - 1)*(m + 1)**2/5
Let z = -184 - -1292/7. Find a, given that -2/7*a**2 - 2/7 + z*a = 0.
1
Factor -1/4 - 1/4*x**2 + 1/2*x.
-(x - 1)**2/4
Let l(a) be the third derivative of a**5/10 + 7*a**4/24 + 5*a**3/6 - 2*a**2. Let z(p) = -25*p**2 - 28*p - 21. Let f(v) = 26*l(v) + 6*z(v). Factor f(h).
2*(h + 2)*(3*h + 1)
Suppose -y + w + 10 = 0, -5*y + 40 = -3*y + 2*w. Factor 12*u + 4 + 2*u**3 + 4*u**2 - 8 - y*u**3 + u**3.
-4*(u - 1)*(u + 1)*(3*u - 1)
Let b = -26099/180 - -145. Let c(d) be the third derivative of 0*d**3 - b*d**5 + 0*d + 0 - 2*d**2 - 1/72*d**4. Factor c(w).
-w*(w + 1)/3
Let h(b) be the third derivative of -b**5/15 - 4*b**4/3 - 32*b**3/3 + 4*b**2. Let h(c) = 0. Calculate c.
-4
Let h(y) be the second derivative of -y**8/13440 + y**6/480 - y**5/120 - y**4/12 + 6*y. Let x(n) be the third derivative of h(n). Factor x(d).
-(d - 1)**2*(d + 2)/2
Suppose j + 0*j + 4 = 0. Let w be 3 - (-1 - j/1). Factor 0*a + w + 1/3*a**3 + 1/3*a**2.
a**2*(a + 1)/3
Suppose 3*b = -2*w - 4, w = -5*b - 2*w - 6. Let k be b/(1 - 0/4). Factor k + 1/2*u - 1/4*u**2.
-u*(u - 2)/4
Determine x so that -19*x**2 + 3*x**4 - 6 + 9 + 4*x**2 + 9 = 0.
-2, -1, 1, 2
Suppose 2*w - 5*g = -22, -4*w = -0*w - 3*g + 30. Let b(d) = 3*d**2 + 23*d + 17. Let t(z) = -z**2 - 8*z - 6. Let j(f) = w*b(f) - 17*t(f). Factor j(a).
-a*(a + 2)
Let z(y) = y**2 - 2*y - 2. Let q be z(3). Let c be (-1 + q + 1)*4. Suppose 2 - 5*v + 0*v**c + 5*v**3 + 0*v**4 - 14*v**2 + 12*v**4 = 0. What is v?
-1, -2/3, 1/4, 1
Suppose -3*n = -3 - 12. Let t be 12/n + (-21)/(-35). Factor t*z + 3*z**4 + 2*z**2 - z - 3*z**3 - z**3 - 3*z**2.
z*(z - 1)**2*(3*z + 2)
Let x = -156 + 158. Let g(j) be the second derivative of 0 + x*j + 0*j**3 - 1/75*j**6 + 0*j**5 + 1/30*j**4 + 0*j**2. Factor g(u).
-2*u**2*(u - 1)*(u + 1)/5
Solve 8/7 + 30/7*g**2 + 2/7*g**4 + 26/7*g + 2*g**3 = 0 for g.
-4, -1
Let r(f) be the third derivative of -1/18*f**3 + 1/90*f**5 - 1/630*f**7 + 0*f - 2*f**2 + 0 + 0*f**6 + 0*f**4. Solve r(j) = 0 for j.
-1, 1
Suppose 4*v - 2*v = 6. Let -m**2 + 2 + 3 - 4 - v*m - 3 = 0. Calculate m.
-2, -1
Let d(j) = 2*j**4 - 4*j**3 + 2*j**2 + 2*j + 2. Let y(p) = 1 - 6*p + 9 + 9*p**2 + 8*p**4 - 1 - 16*p**3 + 15*p. Let l(u) = 9*d(u) - 2*y(u). Factor l(z).
2*z**3*(z - 2)
Let i(n) be the second derivative of -n**7/56 - n**6/12 + 5*n**4/24 + n**3/8 - 21*n. Find g such that i(g) = 0.
-3, -1, -1/3, 0, 1
Let b(i) be the first derivative of -i**6/1440 + i**5/240 - i**4/96 - 2*i**3/3 - 2. Let c(f) be the third derivative of b(f). Solve c(p) = 0 for p.
1
Solve a**2 - 4 + 2 - 1 - 3*a + 5*a = 0.
-3, 1
Let a(g) = -2*g**3 - 6*g**2 - 4*g - 4. Let j(z) = -5*z**3 - 17*z**2 - 12*z - 11. Let c(p) = 11*a(p) - 4*j(p). Factor c(m).
-2*m*(m - 2)*(m + 1)
Let -2 - 4*d**2 - d**3 + 1 - 5*d - 3 + 2 = 0. Calculate d.
-2, -1
Suppose -3 = 3*w, -6*d + 4*d + 2 = -2*w. Factor -1/5*r - 3/5*r**2 - 3/5*r**3 + d - 1/5*r**4.
-r*(r + 1)**3/5
Let r(j) be the first derivative of -4*j + 1/7*j**2 + 3 + 1/42*j**4 + 2/21*j**3. Let x(h) be the first derivative of r(h). Factor x(u).
2*(u + 1)**2/7
Let k(b) be the first derivative of 5*b**6/63 + 2*b**5/15 + b**4/21 - 21. Factor k(v).
2*v**3*(v + 1)*(5*v + 2)/21
Let m(k) be the third derivative of -5*k**8/336 + k**7/42 + k**6/24 - k**5/12 + 5*k**2. Factor m(q).
-5*q**2*(q - 1)**2*(q + 1)
Let d be -3*2/(-2)*-3. Let t = 11 + d. Factor 1/3*o**3 + 1/3*o**t + 0*o + 0.
o**2*(o + 1)/3
Let c(u) be the second derivative of -19*u**4/48 - 7*u**3/8 - u**2/4 + 12*u. Find j, given that c(j) = 0.
-1, -2/19
Let m(k) = -k**4 - k**2 - 1. Let l(n) = -5*n**4 - 135*n**3 + 240*n**2 - 105*n - 70. Let a(d) = -l(d) + 25*m(d). What is f in a(f) = 0?
-1/4, 1, 3
Let o(m) be the second derivative of -m**4/4 + m**3 - 3*m**2/2 + 6*m. Factor o(f).
-3*(f - 1)**2
Let d(t) = -17*t**3 - 10*t**2 + 3*t - 5. Let o(a) = -9*a**3 - 5*a**2 + 2*a - 3. Let r(l) = 3*d(l) - 5*o(l). Factor r(p).
-p*(2*p + 1)*(3*p + 1)
Let a be (3 + 5 + -5)*(-2)/(-12). Factor a + 7/4*t + 5/4*t**3 + 1/4*t**4 + 9/4*t**2.
(t + 1)**3*(t + 2)/4
Let r(g) be the first derivative of g**6/6 - 4*g**5/5 + g**4/4 + 2*g**3 - 47. Factor r(y).
y**2*(y - 3)*(y - 2)*(y + 1)
Let c be -6 + (5 - (2 - 6)). Factor -4/9*r**2 + 0 - 2/9*r**c - 2/9*r.
-2*r*(r + 1)**2/9
Let d(p) be the first derivative of -4*p**3/15 - 36*p**2/5 - 324*p/5 + 13. Factor d(b).
-4*(b + 9)**2/5
Factor 12/5 + 2/5*a**4 + 42/5*a**2 + 18/5*a**3 + 38/5*a.
2*(a + 1)**3*(a + 6)/5
Let g(p) = 6*p**3 + 2*p + 3*p - 4*p + 7*p**2 - 3*p**4 - 7*p. Let l(w) = 10*w**4 - 17*w**3 - 21*w**2 + 17*w. Let x(v) = 11*g(v) + 4*l(v). Factor x(q).
q*(q - 1)*(q + 1)*(7*q - 2)
Let m be (-5 - 1)/(3/(-2)). Let u = -2 + m. Find c, given that 2/9*c**u - 4/9*c + 0 = 0.
0, 2
Factor -3/5*d**2 + 0 + 0*d - 1/5*d**4 + 4/5*d**3.
-d**2*(d - 3)*(d - 1)/5
Let m(z) be the first derivative of 1/4*z**2 + 1/2*z - 1/3*z**3 - 1 + 1/10*z**5 + 1/12*z**6 - 1/4*z**4. Factor m(r).
(r - 1)**2*(r + 1)**3/2
Let c(f) = -2*f - 2. Let s be c(-6). Suppose 0 = 3*i - 4 - 2, -4*j + 3*i + s = 0. Suppose 0 - 1/3*y**2 + 0*y - y**3 - 1/3*y**5 - y**j = 0. Calculate y.
-1, 0
Let o(x) be the second derivative of -7*x**5/50 - x**4/30 + 7*x**3/15 + x**2/5 + 25*x. Find u such that o(u) = 0.
-1, -1/7, 1
Suppose k - 6*w + w + 8 = 0, 6 = 5*k - 2*w. Suppose -14/3*x**k + 4/3*x + 0 = 0. Calculate x.
0, 2/7
Solve 4/9*w**2 + 1/9*w**3 - 1/9*w**4 - 4/9*w + 0 = 0.
-2, 0, 1, 2
Let f(h) be the third derivative of 0 + 0*h + 1/15*h**6 + 1/24*h**4 + 1/60*h**7 + 4*h**2 + 11/120*h**5 + 0*h**3. Determine o so that f(o) = 0.
-1, -2/7, 0
Let n(x) be the second derivative of x**6/660 - x**5/165 - x**4/132 + 2*x**3/33 + x**2 - 2*x. Let l(c) be the first derivative of n(c). Factor l(w).
2*(w - 2)*(w - 1)*(w + 1)/11
Let c be (-60)/54 - (-12)/27 - -1. Solve -2/3*b + c + 2/3*b**3 - 1/3*b**2 = 0 for b.
-1, 1/2, 1
Let h(i) be the first derivative of i**3/8 - 3*i**2/16 - 3*i/4 - 31. Factor h(a).
3*(a - 2)*(a + 1)/8
Let l(i) = i**2 + 4*i + 2. Let w be l(-5). Suppose 5*c = -h + 22, h + w*c - 18 = 3*c. Let 0*u - 1/3*u**4 + 1/3*u**5 + 0 - 1/3*u**3 + 1/3*u**h = 0. Calculate u.
-1, 0, 1
Let q = -15 - -9. Let r be (21/q)/(-1) - 3. Factor 1/2*j + r - 1/2*j**2 - 1/2*j**3.
-(j - 1)*(j + 1)**2/2
Let f(h) be the third derivative of 0 - 1/120*h**6 + 0*h - 1/12*h**4 - 1/20*h**5 + 5*h**2 + 0*h**3. Determine q so that f(q) = 0.
-2, -1, 0
Solve -32/5*r - 128/5 - 2/5*r**2 = 0 for r.
-8
Factor 0 - 2/7*w**2 - 2/7*w.
-2*w*(w + 1)/7
Suppose 3*q 