/13*q**2 = 0. What is q?
2/7, 1
Let c(m) = -23*m**3 + 45*m**2 - 8*m - 5. Let s(x) = -22*x**3 + 44*x**2 - 8*x - 4. Let w(b) = 4*c(b) - 5*s(b). Factor w(i).
2*i*(i - 2)*(9*i - 2)
Factor 28*s**3 - 16*s**2 - 16*s**2 + 24*s**2.
4*s**2*(7*s - 2)
Factor -8*h**3 - h**4 - h**2 + 3*h**4 + 4*h**3 + 3*h**2.
2*h**2*(h - 1)**2
Determine h, given that 0*h + 0*h**2 - 1/2*h**3 + 0 - 1/2*h**4 = 0.
-1, 0
Let h(q) = -8*q**2 + 12*q - 8. Let t(i) = -7*i**2 + 11*i - 7. Let p(l) = 3*h(l) - 4*t(l). What is w in p(w) = 0?
1
Suppose -n + 5 = m, n + 4 = 5*m - 3. Factor -2*t**4 - t + t - 4*t + 2*t**m + 4*t**3.
-2*t*(t - 2)*(t - 1)*(t + 1)
Let s(l) = -l**2 - 12*l - 11. Let q(z) = -2*z**2 - 36*z - 34. Let c(r) = -2*q(r) + 7*s(r). Factor c(y).
-3*(y + 1)*(y + 3)
Suppose -2*h + 217 = 3*h + n, -9 = 3*n. Suppose -h*y - 12*y**3 - 4*y**5 + 44*y + 12*y**4 + 4*y**2 = 0. What is y?
0, 1
Factor 22*n - 3 + 2*n**2 + 5 - 18*n.
2*(n + 1)**2
Let a(y) = -3*y**4 + 3*y**2. Let r(t) = 24*t**4 - 24*t**2. Let m(f) = -33*a(f) - 4*r(f). Factor m(o).
3*o**2*(o - 1)*(o + 1)
Let v = 15/8 + -63/40. Let h(l) be the third derivative of -1/5*l**6 - 1/6*l**4 + v*l**5 + 0*l**3 + 0 - l**2 + 0*l + 1/21*l**7. Factor h(g).
2*g*(g - 1)**2*(5*g - 2)
Let a = 6 + -1. Let g(m) = -1. Let x(h) = -h**2 - 3*h + 3. Let q(i) = a*g(i) + x(i). Factor q(z).
-(z + 1)*(z + 2)
Let p(k) be the first derivative of -5*k**3/3 - 15*k**2 + 35*k - 33. Factor p(q).
-5*(q - 1)*(q + 7)
Let a(n) be the first derivative of 1/4*n**2 + 5 + n - 1/8*n**4 - 1/3*n**3. Factor a(v).
-(v - 1)*(v + 1)*(v + 2)/2
Let r(c) be the second derivative of -c**5/90 + c**4/27 + 9*c. Factor r(o).
-2*o**2*(o - 2)/9
Suppose 8 = 4*c - 0. Let s = 28 + -27. Factor -j**2 - 3 + 0 - c*j + 1 + s.
-(j + 1)**2
Let h(p) be the third derivative of 2*p**2 + 0*p + 1/96*p**4 + 1/840*p**7 + 0*p**3 + 1/160*p**6 + 0 + 1/80*p**5. Find w, given that h(w) = 0.
-1, 0
Let f(p) be the third derivative of -p**5/90 - p**4/9 - p**3/3 + 5*p**2. What is q in f(q) = 0?
-3, -1
Let x(g) = -3*g**3 - 7*g**2 - 3*g + 8. Let u(c) = 5*c**3 + 11*c**2 + 4*c - 12. Let i(k) = -5*u(k) - 8*x(k). Let i(b) = 0. Calculate b.
-2, 1, 2
Let l(z) = -7*z**5 + 15*z**4 - 6*z**3 - 18*z**2 + 6*z. Let q(g) = -g**5 - g**4 + g**2 - g. Let c(f) = -l(f) + 2*q(f). Find r, given that c(r) = 0.
-1, 0, 2/5, 2
Let v be (-2 - (-4 + 1))*11/33. Let x = -1 - -1. Find b, given that 1/3*b**2 + v*b + x = 0.
-1, 0
Suppose -2*y + 5 - 2 + 1 - 2*y**2 + 0 = 0. Calculate y.
-2, 1
Let p = -3 - -9. Let y(r) = -r**2 + 2*r + 5. Let k(m) = m**2 + 6*m - 6. Let h be k(-5). Let n(d) = -2*d**2 + 4*d + 9. Let c(i) = h*y(i) + p*n(i). Factor c(v).
-(v - 1)**2
Suppose 2*v + 4 - 10 = 0. Let m**2 + 8*m**2 - 7*m**2 - v*m**2 = 0. Calculate m.
0
Let 5 + 4*w - 4*w**3 + 3 + 2*w**4 - 20*w**2 + 10*w**4 = 0. Calculate w.
-1, -2/3, 1
Let p(z) = 7*z**4 + 49*z**3 + 15*z**2 - 12*z. Let a(l) = 10*l**4 + 74*l**3 + 22*l**2 - 18*l. Let s(k) = -5*a(k) + 8*p(k). Suppose s(b) = 0. Calculate b.
-3, -1, 0, 1/3
Let g(o) = 8*o - 4. Let s be g(-3). Let j = s - -57/2. Solve j*f - 1/2 - 1/2*f**3 + 1/2*f**2 = 0.
-1, 1
Let w = 33164734/14175117 + 476/36069. Let t = 12/131 + w. Suppose -10/9*u**5 + 0 - 14/3*u**3 + t*u**2 + 34/9*u**4 - 4/9*u = 0. What is u?
0, 2/5, 1
Factor 36*x**2 + 40*x**2 - 12*x - 80*x**2.
-4*x*(x + 3)
Let q be 3 - (-5)/30*-16. Let a(h) be the first derivative of 0*h**5 - 1/2*h**4 + 3 + q*h**6 + 0*h + 0*h**2 + 0*h**3. Factor a(m).
2*m**3*(m - 1)*(m + 1)
Let f(d) be the second derivative of d**8/448 + d**7/105 + d**6/80 - d**4/96 - d**2/2 - 6*d. Let b(w) be the first derivative of f(w). Factor b(z).
z*(z + 1)**3*(3*z - 1)/4
Suppose k + 3*h - 21 = -h, 4*h = 4*k - 4. Factor -4*g + k*g**2 + 2 - g**2 - 2*g**2.
2*(g - 1)**2
Suppose 0 = -3*q + 3 - 6. Let r(d) = d**3 + d - 1. Let h(u) = -u**3 + 2*u - 2. Let z(n) = q*h(n) + 2*r(n). Factor z(w).
3*w**3
Let r(c) = 7*c**3 + 23*c**2 - 67*c + 37. Let x(p) = -p**3 - 4*p**2 + 11*p - 6. Let w(s) = -6*r(s) - 39*x(s). Suppose w(j) = 0. Calculate j.
1, 4
Let x = 12 + -12. Factor 52*i**4 + 0 + x - 48*i**4.
4*i**4
Let i(q) be the first derivative of 2*q**3 + 2*q**2 + 19. What is j in i(j) = 0?
-2/3, 0
Let o(q) be the third derivative of 8*q**7/105 - q**6/10 - q**5/3 + q**4/2 + 2*q**3/3 - 3*q**2. Let o(r) = 0. What is r?
-1, -1/4, 1
Factor 1/5*b**3 + 0 - 1/5*b**2 + 0*b.
b**2*(b - 1)/5
Let m(p) = 7*p**2 - 11*p - 38. Let o(k) = -k**2 - k - 1. Let n(u) = -m(u) - 4*o(u). Factor n(f).
-3*(f - 7)*(f + 2)
Let v = -2 - -4. Suppose 0 = -v*g + 4 - 0. Determine l so that -3*l**2 - 3*l**2 + 5*l**g - l**2 + 4*l - 2 = 0.
1
Let w = 3 - 3. Suppose w = -6*i + 3*i. Determine m so that 0 + i - 4*m + m + m**3 + 2 = 0.
-2, 1
Let x(y) be the second derivative of y**4/120 - y**3/60 - y**2/10 - 17*y. Factor x(q).
(q - 2)*(q + 1)/10
Solve -146*g - 6*g**2 + 146*g + 5*g**4 + g**2 = 0 for g.
-1, 0, 1
Let j(w) be the second derivative of -w**8/2352 - 2*w**7/735 - w**6/168 - w**5/210 + w**2/2 - 3*w. Let q(c) be the first derivative of j(c). Solve q(m) = 0.
-2, -1, 0
Let q be (-970)/(-75) - (-6)/15. Let u = 14 - q. Factor -2/3*v**4 - u + 2/3*v + 4/3*v**2 - 4/3*v**3 + 2/3*v**5.
2*(v - 1)**3*(v + 1)**2/3
Let l(y) be the third derivative of 8*y**7/945 + y**6/54 + y**5/270 - y**4/108 + 4*y**2. Suppose l(c) = 0. Calculate c.
-1, -1/2, 0, 1/4
Let p(h) be the second derivative of -h**6/40 - 3*h**5/40 + 12*h. Solve p(b) = 0 for b.
-2, 0
Let f(p) = -5*p - 3. Let n be f(-4). Let v = n - 12. Find d, given that -9*d**4 - 2*d**2 + 3*d**4 - v*d**5 + 2*d**3 - 8*d**3 + 3*d**5 = 0.
-1, 0
Suppose -3*k + 1/2*k**2 + 9/2 = 0. Calculate k.
3
Let m(o) be the second derivative of -o**4/8 - o**3/4 - 8*o. Let m(y) = 0. What is y?
-1, 0
Suppose 3 = 4*r - 17. Let x(u) be the first derivative of 2 + 2/3*u**3 + 0*u - 1/3*u**2 - 1/2*u**4 + 2/15*u**r. Factor x(f).
2*f*(f - 1)**3/3
Let i be 11 - (-10 + (-708)/(-44)). Factor -2/11*r**3 - 54/11*r - 18/11*r**2 - i.
-2*(r + 3)**3/11
Let r(q) be the second derivative of -2*q - 1/40*q**5 + 0 + 1/12*q**3 + 0*q**4 + 0*q**2. Let r(h) = 0. What is h?
-1, 0, 1
Let z(g) be the second derivative of g**7/21 + g**6/15 - g**5/5 - g**4/3 + g**3/3 + g**2 + 4*g. Factor z(h).
2*(h - 1)**2*(h + 1)**3
Let i be ((-12)/(-27))/(6/9). Factor 2/3*u**2 + 0*u - i.
2*(u - 1)*(u + 1)/3
Let x(u) = -3*u**3 + u**2 + 8*u + 4. Let m(w) = -w**3 - w**2. Let h(g) = 4*m(g) - x(g). Suppose h(l) = 0. What is l?
-2, -1
Let w(q) = -36*q**3 - 37*q**2 + 25*q + 12. Let z(v) = 12*v**3 + 12*v**2 - 8*v - 4. Let d(h) = -4*w(h) - 14*z(h). Factor d(a).
-4*(a + 1)*(2*a + 1)*(3*a - 2)
Let r(u) = -u**3 + 3*u**2 + 4*u + 1. Let l be r(4). Let n(g) = g + 1. Let q(f) = -f**2 - 4*f - 7. Let h(j) = l*q(j) - 2*n(j). Let h(b) = 0. Calculate b.
-3
Let r(f) = -6*f**2 + 6*f. Let y(x) = 3*x**2 - 3*x. Let l(w) = 4*r(w) + 9*y(w). Factor l(p).
3*p*(p - 1)
Let d(l) = -l**3 - 6*l**2 - l - 4. Let s be d(-6). Factor -20*r + 20*r - r**s.
-r**2
Let x(g) be the third derivative of 2*g**2 + 0 + 0*g**3 + 0*g + 1/168*g**8 + 2/15*g**6 + 0*g**4 + 1/21*g**7 + 2/15*g**5. Suppose x(c) = 0. What is c?
-2, -1, 0
Let z = -26 - -46. Suppose z = -3*i + 8*i. Suppose -i*t**2 - 4*t**3 + 3*t**2 + 3*t**3 = 0. Calculate t.
-1, 0
Let g(z) be the third derivative of -z**5/180 + z**3/18 - 9*z**2. Factor g(b).
-(b - 1)*(b + 1)/3
Let a(m) = 2*m - 1. Let d be a(-3). Let x(g) = -g - 5. Let w be x(d). Solve f**4 + 2*f**w - 2*f**2 = 0.
0
Let t be -1 + (-1 + -2)/(-3). Let h(z) be the second derivative of 1/48*z**4 + t - 1/24*z**3 + 0*z**2 + z. Determine n, given that h(n) = 0.
0, 1
Factor 4/9 - 2/9*x - 4/9*x**2 + 2/9*x**3.
2*(x - 2)*(x - 1)*(x + 1)/9
Let n(b) be the third derivative of 0*b + 0*b**3 + 0 + 1/330*b**5 + 1/66*b**4 - 1/660*b**6 + 5*b**2. Let n(a) = 0. Calculate a.
-1, 0, 2
Factor -2*r**5 + 4*r**4 - 491 + 2*r - 4*r**2 + 491.
-2*r*(r - 1)**3*(r + 1)
Let y(m) = m + 9. Let c be y(-6). Determine x, given that -3*x**2 - 3*x**3 + 3*x**c - x**3 - 2*x = 0.
-2, -1, 0
Let r(c) be the first derivative of c**6/25 - 4*c**5/25 + 7*c**4/30 - 2*c**3/15 - 4*c + 3. Let m(u) be the first derivative of r(u). Let m(b) = 0. What is b?
0, 2/3, 1
Let w(q) be the first derivative of -2*q**3/15 + 4*q**2/5 - 8*q/5 + 8. Factor w(f).
-2*(f - 2)**2/5
Let h(u) be the first derivative of -u**6/180 - u**5/90 + u**2/2 + 5. Let s(l) be the second derivative of h(l). Let