at is c?
2/7, 1, 4
Let w be 3/(-12) + 45/4. Suppose 0 = 2*q + 8*i - 3*i + w, 0 = -2*q - 2*i - 2. Factor 2*z + z + z**q - 3*z**3 - z.
-z*(z - 1)*(3*z + 2)
Find p such that p**2 + 0 - 1/2*p - 1/2*p**3 = 0.
0, 1
Let f(h) = 9*h**4 - 2*h**3 + 5*h**2 - 5*h - 7. Let b(p) = 4*p**4 - p**3 + 2*p**2 - 2*p - 3. Let j(z) = 7*b(z) - 3*f(z). Factor j(w).
w*(w - 1)**2*(w + 1)
Let g(c) be the second derivative of -c**5/90 - c**4/9 - 4*c**3/9 - c**2 + 5*c. Let v(o) be the first derivative of g(o). Factor v(k).
-2*(k + 2)**2/3
Let w(v) be the second derivative of -v**6/18 + v**5/12 - 25*v - 1. Determine u so that w(u) = 0.
0, 1
Let g = 101/2 + -605/12. Let i(q) be the first derivative of g*q**3 + 1/8*q**2 - 3 + 0*q. What is s in i(s) = 0?
-1, 0
Let -9*z - 4 + 5/2*z**2 = 0. What is z?
-2/5, 4
Factor -182 + 14*a**3 + 18*a + 182 + 30*a**2 + 2*a**4.
2*a*(a + 1)*(a + 3)**2
Let h(i) be the third derivative of -i**5/360 - i**4/48 - 2*i**2. Factor h(w).
-w*(w + 3)/6
Let r(q) be the first derivative of -q**6/18 - 3*q**5/5 - 31*q**4/12 - 17*q**3/3 - 20*q**2/3 - 4*q - 36. Suppose r(m) = 0. What is m?
-3, -2, -1
Let z = -2 - -3. Suppose 5*f + 4*o - 36 = 0, 4 = -4*f + 6*o - o. Factor -3*c**2 - 3*c**3 - 2 + z + 1 - c - c**f.
-c*(c + 1)**3
Let s(r) = r**5 - 2*r**4 + 4*r**3 + 7*r**2 + r + 1. Let x(c) = c**5 + c**2 + c + 1. Suppose -6*k + k = -5. Let i(q) = k*s(q) - 3*x(q). Factor i(j).
-2*(j - 1)**2*(j + 1)**3
Let w(i) be the first derivative of -i**8/1680 - i**7/168 - i**6/45 - i**5/30 - i**3/3 + 3. Let g(p) be the third derivative of w(p). Let g(d) = 0. Calculate d.
-2, -1, 0
Suppose -2*b - 22 = -4*b. Suppose -4*a - 2 = k - 0*k, 0 = -4*k + 3*a + b. Suppose 0*h**k + 1/3*h**3 - 1/3*h + 0 = 0. Calculate h.
-1, 0, 1
Factor 16*m + 2 + 13*m**2 - 12*m**2 + 2 - 21*m**3.
-(m - 1)*(3*m + 2)*(7*m + 2)
Let o = 245/2 - 122. Determine l, given that 9/2*l**3 + l - 7/2*l**2 - 5/2*l**4 + 0 + o*l**5 = 0.
0, 1, 2
Let y(n) be the first derivative of n**4/14 + 2*n**3/7 + 2*n**2/7 - 7. Let y(u) = 0. What is u?
-2, -1, 0
Solve 0*m**4 - 6*m**3 + 5*m**3 + 9*m**3 + 12*m**2 - 4*m**4 = 0.
-1, 0, 3
Suppose 23 = 5*c + 4*n, 0*n = 5*c - 4*n - 7. Factor c*u**2 + 2*u**3 - 2*u**2 - 4*u - 3*u**2.
2*u*(u - 2)*(u + 1)
Let s(u) = -4*u**3 - 15*u**2 + 6*u + 10. Let n be s(-4). Suppose 0*m + 5*m = 5. Solve -m + 1/2*p**n - 1/2*p = 0 for p.
-1, 2
Let h(j) be the second derivative of j**7/42 + j**6/10 + 3*j**5/20 + j**4/12 - 14*j. Find r such that h(r) = 0.
-1, 0
Let t be 1 + 2/(16/(-4)). Suppose 0*z + 0 + t*z**2 = 0. What is z?
0
Let f be -2 + 6 - 32/12. Solve f + 2*a**4 - 10/3*a**2 + 2/3*a**3 - 2/3*a = 0.
-1, 2/3, 1
Let y(x) be the third derivative of 0 + 0*x**3 - 1/120*x**5 + 1/80*x**6 + x**2 + 0*x + 1/672*x**8 + 0*x**4 - 1/140*x**7. Factor y(a).
a**2*(a - 1)**3/2
Suppose 0 = -10*c - 26 + 46. Solve 2 - c*m + 1/2*m**2 = 0.
2
Determine d, given that 37*d**3 - 3*d**4 - 7*d**4 - 41*d**3 - 4*d**5 + 2*d**4 = 0.
-1, 0
Factor 26*h + 9 - 17*h**2 + 23*h**2 - 1.
2*(h + 4)*(3*h + 1)
Let h be 2/15*-3*25/(-10). Factor 0*w - 3/4*w**3 + h - 7/4*w**2.
-(w + 1)*(w + 2)*(3*w - 2)/4
Let w = -16/9 - -41/18. Factor 0 - z**3 + 1/2*z**4 - w*z**2 + z.
z*(z - 2)*(z - 1)*(z + 1)/2
Let b(o) be the first derivative of -o**4/9 + 2*o**3/9 - 36. Let b(m) = 0. What is m?
0, 3/2
Suppose -h = -g - 2*h + 2, 0 = 5*h. Let d(p) = -9*p**2 + 43*p - 43. Let c(z) = -4*z**2 + 3*z + z**2 - 14 + 11*z. Let b(r) = g*d(r) - 7*c(r). Factor b(i).
3*(i - 2)**2
Suppose 4*q - 2*u = 24, -q + 3*u = 2 + 2. Suppose 4*b + 4 - 4*b**2 - 12*b**2 - 2*b + 2*b**3 + q*b**3 = 0. Calculate b.
-2/5, 1
Let t(s) = -7*s**3 - 3 + s + 6*s**2 - 4*s - 4*s + 5*s**2. Let f(w) = -6*w**3 + 10*w**2 - 6*w - 2. Let u(v) = 3*f(v) - 2*t(v). Factor u(c).
-4*c*(c - 1)**2
Let n(y) be the third derivative of 1/45*y**7 + 1/20*y**6 + 0*y**4 + 0*y**3 + 0*y + 4*y**2 + 0 + 1/45*y**5. Factor n(v).
2*v**2*(v + 1)*(7*v + 2)/3
Let k(j) be the first derivative of -1/2*j - 1/6*j**3 - 3 + 1/2*j**2. Determine g, given that k(g) = 0.
1
Let m(g) = -16*g**5 + 20*g**3 + 12*g**2 - 4*g + 12. Let u(z) = z**5 - z**3 - z**2 - 1. Let a(f) = m(f) + 12*u(f). Let a(o) = 0. Calculate o.
-1, 0, 1
Factor -j**2 + 9/7*j**3 - 20/7*j - 4/7.
(j - 2)*(j + 1)*(9*j + 2)/7
Suppose -1/4*j**2 + 0 - 1/4*j**3 + 0*j = 0. Calculate j.
-1, 0
Let g(z) = -15*z**4 - 6*z**3 - 3*z**2 - 3*z - 3. Let i(c) = c**5 - c**4 + c**3 - c**2 - c - 1. Let r(q) = g(q) - 3*i(q). Factor r(u).
-3*u**3*(u + 1)*(u + 3)
Let t = 38/21 - 5/3. Suppose 1/7*i**2 + 0 + 1/7*i**3 - t*i**5 - 1/7*i**4 + 0*i = 0. Calculate i.
-1, 0, 1
Let w = 1 + -1. Suppose 4*b - b - 6 = w. Find l, given that 0 - 2/9*l**b + 2/9*l = 0.
0, 1
Let u(f) be the second derivative of f**8/12320 + 4*f**7/3465 + f**6/264 - 3*f**5/110 - 5*f**4/12 - 3*f. Let h(c) be the third derivative of u(c). Factor h(o).
2*(o + 3)**2*(3*o - 2)/11
Let w(a) = -a**2 - 7*a - 1. Let c be ((-2)/4)/(6/60). Let n be w(c). Factor t - 8*t**2 - n*t - 2*t - 2*t**3 - 4.
-2*(t + 1)**2*(t + 2)
Let f(o) be the third derivative of o**7/840 - o**6/10 + 18*o**5/5 - 72*o**4 + 864*o**3 - 9*o**2. Factor f(w).
(w - 12)**4/4
Let o(n) = -n. Let p be o(0). Suppose -k + 10 = 3*w - p, 2*w - 25 = 3*k. Factor -1/5*g**3 + 1/5*g**w + 2/5*g**4 + 0*g - 2/5*g**2 + 0.
g**2*(g - 1)*(g + 1)*(g + 2)/5
Factor 9/4*d**2 - 3 + 0*d + 3/4*d**3.
3*(d - 1)*(d + 2)**2/4
Solve 8*s - 24 - 2/3*s**2 = 0 for s.
6
Let j(o) be the second derivative of -1/48*o**4 + 0 - 1/20*o**5 + 1/40*o**6 + 1/12*o**3 - 4*o + 0*o**2. Solve j(s) = 0 for s.
-2/3, 0, 1
Let v(q) be the first derivative of q**6/10 - q**4/2 + 3*q**2/2 + 5*q - 1. Let h(o) be the first derivative of v(o). Determine m so that h(m) = 0.
-1, 1
Let f(n) be the third derivative of -n**7/105 + 11*n**6/240 - n**5/24 - n**4/24 - 3*n**2. Factor f(o).
-o*(o - 2)*(o - 1)*(4*o + 1)/2
Let o(v) = v**2 - 28*v + 78. Let a be o(3). Let -2/11*j - 2/11 - 2/11*j**5 + 4/11*j**a - 2/11*j**4 + 4/11*j**2 = 0. Calculate j.
-1, 1
Find z, given that -564*z**3 - 71 - 73 - 96*z + 672*z**3 + 4*z**5 + 92*z**2 + 36*z**4 = 0.
-3, -2, 1
Let q(u) = 3*u**3 + 4*u**2 + 6*u - 5. Let k(c) = c**2 + 1. Let p(b) = -5*k(b) - q(b). Factor p(w).
-3*w*(w + 1)*(w + 2)
Let c = 1 - 1. Let w be (-24)/15 + (c - -2). Factor -4/5*r + 0 + w*r**2.
2*r*(r - 2)/5
Let i(r) be the second derivative of 5*r + 18/5*r**2 - 11/5*r**3 - 1/10*r**5 - 14/15*r**4 + 0. Find f such that i(f) = 0.
-3, 2/5
Let d = 19 - 37/2. Let x(j) = j - 5. Let n be x(7). Determine m, given that d*m**3 + 0 + 0*m + 1/4*m**4 + 1/4*m**n = 0.
-1, 0
Let g(t) = -6 - 5*t**3 - 3*t + 4*t**3 + 10*t**2 - 5*t. Let u be g(9). What is f in -5*f + 7*f + 0*f**3 - 2*f**u = 0?
-1, 0, 1
Let u(b) = -2*b + 2*b**2 - 3*b - b**2 + 3. Let z be u(5). Factor -2*c + 0*c + 0*c**4 - 2*c**5 + 0*c**4 + 4*c**z.
-2*c*(c - 1)**2*(c + 1)**2
Suppose 11 = 4*a - 5. Suppose 0 - 4/7*j**3 - 2/7*j**2 + 4/7*j + 2/7*j**a = 0. Calculate j.
-1, 0, 1, 2
Let c(v) = 180*v**3 + 80*v**2 - 45*v - 55. Let n(x) = 20*x**3 + 9*x**2 - 5*x - 6. Let q(u) = 6*c(u) - 55*n(u). Factor q(h).
-5*h*(h + 1)*(4*h - 1)
Let y(n) = -n**4 + n**2 + n. Let x(p) = 6*p**4 - p**3 - 5*p**2 - 5*p. Let b(w) = -x(w) - 5*y(w). Factor b(h).
-h**3*(h - 1)
What is r in -2/3 - 2/9*r + 4/9*r**2 = 0?
-1, 3/2
Let h(p) = -p**3 + p**2 + p + 3. Let f be h(3). Let s be (81/f)/(-3) + -2. Factor 1/4*l + s*l**2 + 0.
l*(l + 1)/4
Let b = 643/5 + -127. What is u in -2/5*u**2 - b + 8/5*u = 0?
2
Let b = 112 - 110. Factor 4/3*z**3 + 0*z**b - 4/3*z + 2/3*z**4 - 2/3.
2*(z - 1)*(z + 1)**3/3
Suppose 3*q - 2*q = 5*r - 18, -q + r = 2. Solve -6*s**3 + 7*s**3 - 3*s + q*s = 0.
-1, 0, 1
Factor 0 + 1/5*y + 1/5*y**2.
y*(y + 1)/5
Suppose q = p - 3, 4*p - 2*q + 6 = 6*p. Let g(r) be the second derivative of 0 + 1/12*r**4 + 0*r**2 + 1/12*r**p - 4*r. Factor g(w).
w*(2*w + 1)/2
Factor 16*n**2 + n**3 - 26*n + 3*n**3 + 42*n.
4*n*(n + 2)**2
Factor -9/2*j**5 + 1/2*j**2 + 0 + 0*j + 5/2*j**3 + 3/2*j**4.
-j**2*(j - 1)*(3*j + 1)**2/2
Let a(q) be the first derivative of 6 - 3/20*q**4 + 0*q - 3/10*q**2 - 2/5*q**3. Solve a(m) = 0 for m.
-1, 0
Let i be (108/81)/(4/14). Factor -i*l**2 + 8/3 + 0*l - 2*l**3.
-2*(l + 1)*(l + 2)*(3*l - 2)/3
Let o(y) = -y**5 + y**3 - 1. Let b(r) = -9*r**5 + 14*r**3 - 5*r - 4. Let v(x) = b(x) - 4*o(x). Factor v(w).
-5*w*(w - 1)**2*(w + 1)**2
Suppose 3*n = -n. Suppose n = -2*a - 2, 2*x - 5*a = 7*x - 15. F