*4 + f**5.
f**3*(f - 2)*(f - 1)
Let -1/4*q**3 - q**2 - q + 0 = 0. Calculate q.
-2, 0
Let r be 3/((-45)/24) - -2. Factor 0*q**3 - 2/5*q**5 + r*q**4 + 0 + 0*q**2 + 0*q.
-2*q**4*(q - 1)/5
Let a(d) be the first derivative of -d**6/360 + d**5/60 - d**3/3 - 3. Let z(q) be the third derivative of a(q). Determine w, given that z(w) = 0.
0, 2
Let k be ((-6)/(-15))/1*(-9)/(-6). Factor 3/5*g**3 + 3/5 - k*g**2 - 3/5*g.
3*(g - 1)**2*(g + 1)/5
Factor -3*x - 5*x**2 - 6*x - 18 + 4*x + 28.
-5*(x - 1)*(x + 2)
Let h(a) be the first derivative of -a**5/10 + a**4/2 - a**3 + a**2 - a/2 - 1. Factor h(m).
-(m - 1)**4/2
Let n(v) be the second derivative of -v**4/6 - 4*v**3/3 - 4*v**2 + 7*v. Suppose n(p) = 0. Calculate p.
-2
Factor 2/3 - 2/3*i**2 - 1/3*i + 1/3*i**3.
(i - 2)*(i - 1)*(i + 1)/3
Determine j, given that -4*j**3 + 0*j**2 + 4*j**3 + 10*j**2 + 5*j**3 - 15*j = 0.
-3, 0, 1
Let p(d) be the first derivative of -4*d**5/5 + 4*d**3 - 4*d**2 + 10. Solve p(h) = 0 for h.
-2, 0, 1
Let v(y) be the first derivative of -y**2 + 0*y - 1 - 1/3*y**3 - 1/6*y**4 - 1/30*y**5. Let q(n) be the second derivative of v(n). Find g such that q(g) = 0.
-1
Suppose -13 = -4*u + 15. Factor u*v**2 + 8 + 12*v - 8*v**2 + 5*v**2.
4*(v + 1)*(v + 2)
Let u(p) = p**5 + 4*p**3 + 5*p. Let i(t) = t**4 + 3*t**3 + 4*t. Suppose 2*m = -0 - 10. Let q(x) = m*i(x) + 4*u(x). Suppose q(y) = 0. Calculate y.
0, 1/4, 1
Let 16/3*h - 32/3 - 4/3*h**3 + 8*h**2 - 4/3*h**4 = 0. What is h?
-2, 1, 2
Let q be (-18)/3*-2 - 2. Suppose 6*g - q*g = 0. Let g*s + 0 - 2/3*s**2 = 0. What is s?
0
Let p = -47 + 143/3. Find r, given that 0 + 1/6*r**3 + 2/3*r - p*r**2 = 0.
0, 2
Let m(g) be the third derivative of -g**7/945 - g**6/90 - 2*g**5/135 + g**4/18 + 5*g**3/27 - 18*g**2. What is q in m(q) = 0?
-5, -1, 1
Let h be 5/(-15) - 13/(-3) - 2. Factor -2/5*y**3 + 0 + 0*y**h + 2/5*y.
-2*y*(y - 1)*(y + 1)/5
Let g(q) be the second derivative of q**6/45 - q**5/30 - q**4/18 + q**3/9 - 25*q + 1. What is u in g(u) = 0?
-1, 0, 1
Let c = -63 + 65. Let i(k) be the first derivative of 2*k**c + 2/3*k**3 - 3 + 2*k. Suppose i(l) = 0. Calculate l.
-1
Suppose 2/11*j**5 + 8/11*j - 12/11*j**4 - 24/11*j**2 + 0 + 26/11*j**3 = 0. Calculate j.
0, 1, 2
Let y be 6/(-10) - 155/(-175). Factor 20/7*k**3 + 20/7*k**2 + 2/7*k**5 + 10/7*k**4 + y + 10/7*k.
2*(k + 1)**5/7
Let i = 406 - 4464/11. Factor -2/11*g**4 + 0 - 2/11*g**3 + i*g + 2/11*g**2.
-2*g*(g - 1)*(g + 1)**2/11
Let h(d) be the first derivative of -d**8/1176 + d**6/210 - d**4/84 + 3*d**2 + 3. Let u(x) be the second derivative of h(x). Let u(a) = 0. What is a?
-1, 0, 1
Let h(v) = 6*v**4 - 6*v**3 - 2*v**2 - 5*v. Let a(f) = -f**4 + f**3 + f. Let n(j) = 5*a(j) + h(j). Factor n(x).
x**2*(x - 2)*(x + 1)
Let f(p) be the first derivative of -3*p**6/8 - 7*p**5/20 + p**4/8 + 4. Factor f(d).
-d**3*(d + 1)*(9*d - 2)/4
Suppose 0 = -23*d + 20*d + 6. Factor 4/5*w + 0 + 2/5*w**d.
2*w*(w + 2)/5
Let i(q) = 1. Suppose g = -2*g + 9. Let y(m) = m**3 + 3*m**2 + 2*m - 3. Let x(z) = g*i(z) + y(z). Solve x(p) = 0 for p.
-2, -1, 0
Let j = 1079 - 36665/34. Let o = j + -2/17. Factor -o*h**3 - 1/2 + 1/2*h**2 + 1/2*h.
-(h - 1)**2*(h + 1)/2
Let y = -21 - -37. Suppose -2*o + 4*o = -c + y, 9 = -c + 3*o. Factor 4*n**3 + 0*n - 3*n + 3*n**3 + 2*n**3 - c*n**2.
3*n*(n - 1)*(3*n + 1)
Factor -212*x**2 + 281*x**2 - 4 - 44*x - 209*x**2 - 100*x**3.
-4*(x + 1)*(5*x + 1)**2
Let a = -1924/5 - -385. Solve -2/5*k**2 + 0 + 1/5*k + a*k**3 = 0.
0, 1
Let y = -8 - -14. Let l(m) be the third derivative of 1/135*m**y + 0*m**5 - m**2 + 0*m - 1/27*m**3 - 1/36*m**4 + 0. Let l(v) = 0. What is v?
-1/2, 1
Let t(d) be the first derivative of -5*d**4/6 + 8*d**3/3 + 4*d**2 - 5*d - 4. Let l(r) be the first derivative of t(r). Factor l(u).
-2*(u - 2)*(5*u + 2)
Let u(x) = -9 + 0*x**3 + x**3 + 10*x**2 + 17. Let v be u(-10). Factor -8/5 + v*z - 10*z**2.
-2*(5*z - 2)**2/5
Solve 4 - 2*p + 1/4*p**2 = 0.
4
Let c(a) be the third derivative of -a**6/30 - a**5/5 + 2*a**4/3 - 14*a**2. Suppose c(p) = 0. What is p?
-4, 0, 1
Determine b, given that -2/9*b + 2/9*b**3 + 0 + 0*b**2 = 0.
-1, 0, 1
Let z be (0 - 4) + (5 - 3). Let w be (z + 3)/(1/4). Solve -3*r - 2 + 2*r**3 + r - 5*r**4 + w*r**4 + 3 = 0.
-1, 1
Let p(b) be the second derivative of 0*b**2 + 3*b + 1/30*b**6 + 0 + 3/16*b**4 - 3/20*b**5 - 1/12*b**3. What is u in p(u) = 0?
0, 1/2, 2
Find s such that -8*s - 52/5*s**2 - 14/5*s**3 + 16/5 = 0.
-2, 2/7
Let r(c) be the second derivative of -c**6/30 - 3*c**5/10 - c**4 - 4*c**3/3 + 2*c. Solve r(y) = 0 for y.
-2, 0
Let m(h) = h**2 + h + 2. Let a be m(0). Let b = 25 + -23. Factor -2*l**3 + 3*l**4 + 4*l**3 + 0*l**a - 2*l**b + 7*l**4 + 6*l**5.
2*l**2*(l + 1)**2*(3*l - 1)
Let g be (2 - 4)*(-24)/16. Let y(t) be the second derivative of -1/3*t**2 + 0 - t - 2/9*t**g - 1/18*t**4. Find j, given that y(j) = 0.
-1
Suppose 4*p = 2*m + 8, 0 = -5*p + 2*m - 0*m + 10. Suppose 5*s - 3 = p*s. Determine j so that s + j**4 + 2*j**4 - j**4 - 2*j**2 - j**4 = 0.
-1, 1
Let m = 14 - 8. Let d(z) = 5*z**3 - 5*z**2 + 7*z - 7. Let b(v) = v**3 - v**2 + v - 1. Let h(c) = m*b(c) - d(c). Solve h(s) = 0.
-1, 1
Let h(l) be the second derivative of -l**5/70 + 3*l**4/14 - 8*l**3/7 + 16*l**2/7 - 2*l + 2. Factor h(v).
-2*(v - 4)**2*(v - 1)/7
Let b(q) = 287*q**3 - 763*q**2 + 360*q - 41. Let d(k) = -96*k**3 + 254*k**2 - 120*k + 14. Let f(g) = 4*b(g) + 14*d(g). What is v in f(v) = 0?
2/7, 2
Let y(l) be the second derivative of 1/75*l**6 + 3/50*l**5 + 1/15*l**3 + 0*l**2 + 3*l + 1/10*l**4 + 0. Determine o so that y(o) = 0.
-1, 0
Let u(t) = 3*t. Let y be u(3). Factor -7 + 7 - y*m**4 + 3*m**5 - 3*m**2 + 9*m**3.
3*m**2*(m - 1)**3
Let h = 513 + -2551/5. Factor 4/5*b**2 + 0*b + 0 + 18/5*b**3 + h*b**4.
2*b**2*(b + 1)*(7*b + 2)/5
Let -1/6*i**2 + 2/3*i + 5/6 = 0. What is i?
-1, 5
Let u be 0 - (0 - (-4 - -1)). Let h be u - (-2)/(-9)*-15. Factor 0 - 1/3*z**2 + h*z**3 - 1/3*z + 1/3*z**4.
z*(z - 1)*(z + 1)**2/3
Let f be (2/6)/((-4)/6). Let l = f - -1. Factor 0 - l*b**5 + 3/2*b**4 - 2*b**2 + 0*b + 0*b**3.
-b**2*(b - 2)**2*(b + 1)/2
Suppose 0 = 5*d - 18 + 13. Factor -1/2*b + d - 1/2*b**2.
-(b - 1)*(b + 2)/2
Let z(k) be the second derivative of -5*k**4/12 + 25*k**3/6 - 10*k**2 - 21*k. Factor z(t).
-5*(t - 4)*(t - 1)
Let a(n) = n**3 - 3*n**2 - 2*n + 8. Let o be a(4). Suppose 8*q + 54*q**3 - 70*q**4 + o*q**2 - 5*q - 50*q**5 - 11*q - 50*q**5 = 0. What is q?
-1, -1/2, 0, 2/5
Let q(l) be the third derivative of -l**7/210 + l**6/120 + l**5/60 - l**4/24 + 5*l**2. Determine o, given that q(o) = 0.
-1, 0, 1
Let h(m) be the first derivative of -2*m**3/39 + 4*m**2/13 - 8*m/13 + 7. Find u, given that h(u) = 0.
2
Factor 15*f**4 + 0*f**3 - 14*f**3 + 2*f**3 - 5*f**5 + 2*f**3.
-5*f**3*(f - 2)*(f - 1)
Let t be (-3 + (-14)/(-4))/(2/12). Let p(s) be the second derivative of 2*s + 1/70*s**5 + 0 - 1/42*s**4 - 1/21*s**t + 0*s**2 + 1/105*s**6. Factor p(y).
2*y*(y - 1)*(y + 1)**2/7
Factor -q**2 + q + 2/3 - 2/3*q**3.
-(q - 1)*(q + 2)*(2*q + 1)/3
Let m(n) = n**2 + 6*n + 8. Let z be m(-5). Factor 4/5*a - 2/5 + 2/5*a**4 - 4/5*a**z + 0*a**2.
2*(a - 1)**3*(a + 1)/5
Let u(d) be the first derivative of -d**5/5 - d**4/4 + d**3/3 + d**2/2 + 6. Determine t so that u(t) = 0.
-1, 0, 1
Let d(f) be the second derivative of -7*f**4/12 - f**3 + f**2/2 + f. Let k(v) = 3*v**2 + 3*v. Let u(m) = 2*d(m) + 5*k(m). Suppose u(j) = 0. What is j?
-2, -1
Let c(w) be the second derivative of 0 + 0*w**2 + 1/42*w**4 + 1/21*w**3 + 3*w. Factor c(k).
2*k*(k + 1)/7
Let b(q) be the first derivative of -1/3*q**2 - 2/3*q**4 - 3*q + 1 + 5/6*q**3 + 11/60*q**5. Let h(c) be the first derivative of b(c). Factor h(s).
(s - 1)**2*(11*s - 2)/3
Let u(j) = 2266*j + 2. Let k be u(-4). Let g = 22112 + k. Factor -g*b**4 - 11 - 21 - 576*b - 72*b**4 - 11664*b**3 - 3888*b**2.
-2*(9*b + 2)**4
Let s(l) be the third derivative of -2*l**2 - 1/360*l**5 + 0*l - 1/48*l**4 - 1/1260*l**7 + 1/240*l**6 + 0 + 1/18*l**3. Let s(b) = 0. Calculate b.
-1, 1, 2
Let w(j) be the first derivative of 2/15*j**3 - 2 + 6/25*j**5 + 0*j**2 - 1/15*j**6 - 3/10*j**4 + 0*j. Let w(f) = 0. Calculate f.
0, 1
Suppose 0 = 3*u - 2*u. Suppose m = -u + 3. What is r in -3*r**m + 1 - 3*r - 2*r**3 + 4*r**3 + 3*r**2 = 0?
1
Let u(v) = -v**4 + 4*v**3 + 3*v**2 - 4*v - 6. Let b(j) = -j**4 - 1. Let l(t) = 2*b(t) - u(t). Factor l(w).
-(w - 1)*(w + 1)*(w + 2)**2
Let s = 