Factor -1/3*g**2 + h*g + 2/3.
-(g - 2)*(g + 1)/3
Let q be -3 + -1*25/(-10)*2. Find j such that 16/7 + 640/7*j**4 - 260/7*j**q + 450/7*j**5 + 24/7*j - 78/7*j**3 = 0.
-1, -2/9, 2/5
Let q(f) be the first derivative of f**6/4 + 7*f**5/5 + 13*f**4/8 - 3*f**3 - 5*f**2 + 4*f + 17. Factor q(p).
(p - 1)*(p + 2)**3*(3*p - 1)/2
What is u in -5*u - 10*u + 3*u**2 - 16 - 7*u**2 - u = 0?
-2
Let l(h) be the second derivative of 3*h + 0*h**2 - 1/50*h**5 + 0*h**6 + 0*h**4 + 0 + 1/210*h**7 + 1/30*h**3. Suppose l(t) = 0. What is t?
-1, 0, 1
Suppose -5 = -5*q, -s - 2*q = q - 6. Factor -3*d**5 + 6*d**s + 12*d - 8*d**2 + 12*d**4 + 4*d**3 - d**5 - 18*d**3 - 4.
-4*(d - 1)**4*(d + 1)
Let r(v) be the first derivative of -v**3/15 + 4*v**2/5 + 9*v/5 + 29. Factor r(k).
-(k - 9)*(k + 1)/5
Suppose -11*o + 16*o + 1140 = 0. Let j = 1146/5 + o. Determine w, given that 8/5*w**2 - 4/5 + 2/5*w - j*w**3 = 0.
-2/3, 1
What is c in -11/4*c**2 - 1 - 5*c + 35/4*c**3 = 0?
-2/5, -2/7, 1
Let p be (-3)/(3 + 117/(-42)). Let t = -13 - p. Suppose 10*u**3 + 7/2*u**2 + t - 11/2*u = 0. What is u?
-1, 1/4, 2/5
Factor -3*m**3 - m**3 + 0*m**2 + 8*m - 4*m**2.
-4*m*(m - 1)*(m + 2)
What is o in -7*o**2 - 55*o**4 + 45*o**3 + 20*o**4 - 3*o**2 = 0?
0, 2/7, 1
Let n = 5 + 1. Let s be 1/(-6) - n/(-36). Determine a, given that s*a**3 + 2/7 - 4/7*a**2 + 0*a + 2/7*a**4 = 0.
-1, 1
Factor 3/4*k**2 + 0 + 0*k.
3*k**2/4
Let o(s) be the first derivative of 2*s**3/3 - 2*s**2 - 6*s - 58. Determine n so that o(n) = 0.
-1, 3
Suppose 0*t = -5*t. Suppose -2*k + o - 1 = t, 4*k - k + 3*o = 21. Factor -21/2*v**2 - 8*v - 9/2*v**3 - k.
-(v + 1)*(3*v + 2)**2/2
Suppose 2*r = -t + 5, 2*r + 0*r - 2 = 0. Let 1/3*q**t + 0*q + 0*q**2 - 1/3*q**4 + 0 = 0. Calculate q.
0, 1
Factor -8/11*j**2 + 2/11*j**3 - 4/11 + 10/11*j.
2*(j - 2)*(j - 1)**2/11
Let y(m) be the first derivative of -m**4/6 - 2*m**3/3 - m + 2. Let v(n) be the first derivative of y(n). Factor v(q).
-2*q*(q + 2)
Factor 438 + 2*l**2 + l**2 - 438.
3*l**2
Suppose -2*x + 15 = -3*r, -4*x = x + 5*r. Factor -24/5*i**x - 48/5*i + 52/5*i**2 + 16/5 + 4/5*i**4.
4*(i - 2)**2*(i - 1)**2/5
Let r(z) be the first derivative of -9/22*z**4 + 3 + 4/11*z - 32/33*z**3 - 5/11*z**2. Factor r(v).
-2*(v + 1)**2*(9*v - 2)/11
Let p be 4/(-5) + (-704)/(-330). Determine j so that 0*j - 2/3*j**4 + p*j**3 + 0 + 0*j**2 = 0.
0, 2
Let k(i) be the third derivative of -i**8/560 - 3*i**7/350 - 3*i**6/200 - i**5/100 + 3*i**2. Factor k(n).
-3*n**2*(n + 1)**3/5
Let 2*b + 0 + 2/5*b**2 = 0. Calculate b.
-5, 0
Factor -1/2 + 1/4*v**3 + 1/2*v**2 - 1/4*v.
(v - 1)*(v + 1)*(v + 2)/4
Let m be (-6)/(1/(4/(-6))). Factor -i - m*i**2 + 9*i - 20*i**2 + 14*i**4 - 18*i**3.
2*i*(i - 2)*(i + 1)*(7*i - 2)
Suppose 5*w = -4*p + 20, 0 = 3*w + 5*p - 24 - 1. Let u = -293/3 + 98. Solve 0*o + 0 - u*o**5 + 0*o**2 + 0*o**3 + w*o**4 = 0 for o.
0
Let y be ((-700)/(-900))/((-14)/(-12)). Factor -y*z - 2/9*z**3 + 2/9 + 2/3*z**2.
-2*(z - 1)**3/9
Let f = -2938/3 + 980. Let 5/3*w**2 + f + 7/3*w = 0. What is w?
-1, -2/5
Let s(v) = -1. Let l(c) = 8*c**3 + 26*c**2 + 10*c - 9. Let w(h) = -h**2. Let b(z) = -l(z) - 4*w(z). Let g(q) = b(q) + 5*s(q). Solve g(d) = 0.
-2, -1, 1/4
Let 25 + 1047*a**3 - 1042*a**3 + 35*a**2 - 32*a + 87*a = 0. Calculate a.
-5, -1
Factor -1/3*d**3 + 0*d - 1/3*d**5 - 2/3*d**4 + 0 + 0*d**2.
-d**3*(d + 1)**2/3
Let g(y) = y**3 + y**2 - y + 1. Let k(h) = -3*h**3 + h**2 - h - 1. Let w = 6 - 10. Let p = w + 5. Let l(b) = p*k(b) + 2*g(b). Factor l(i).
-(i - 1)**3
Let c(g) be the third derivative of -1/30*g**5 - g**3 - 1/3*g**4 + 0 + 5*g**2 + 0*g. Factor c(d).
-2*(d + 1)*(d + 3)
Let i(l) be the first derivative of l**4/2 - 4*l**3/9 + 1. Factor i(h).
2*h**2*(3*h - 2)/3
Let c(j) be the second derivative of -4*j + 0 - 1/10*j**6 + 0*j**2 + 0*j**3 - 1/10*j**5 - 1/42*j**7 + 0*j**4. What is i in c(i) = 0?
-2, -1, 0
Let f(n) be the first derivative of -3*n**4/20 + 24*n**3/5 - 288*n**2/5 + 1536*n/5 - 15. Factor f(o).
-3*(o - 8)**3/5
Suppose 4*m**4 - 8 - 4*m + 12*m**3 - 5*m - 3*m + 4*m**2 = 0. Calculate m.
-2, -1, 1
Let c(v) be the first derivative of -2*v**5/35 + v**4/7 + 2*v**3/21 - 2*v**2/7 - 19. Solve c(o) = 0 for o.
-1, 0, 1, 2
Suppose -4*x = 4*s + 20, 3*x + 1 + 14 = -5*s. Let h(g) be the third derivative of 0 + 0*g + 0*g**5 + 0*g**4 - g**2 + s*g**3 + 1/240*g**6. Solve h(t) = 0.
0
Let p(a) be the first derivative of 4*a**5/35 + a**4/7 - 4*a**3/21 - 2*a**2/7 + 7. Factor p(n).
4*n*(n - 1)*(n + 1)**2/7
Let n(i) be the first derivative of i**6/3 + 3*i**5/5 - i**4/8 - 11*i**3/12 - 3*i**2/4 - i/4 - 12. Determine v so that n(v) = 0.
-1, -1/2, 1
Let r be ((-4)/(-6))/((-2)/(-36)). Suppose -5*a + 5*q = q - r, -4*a + q = -3. Solve 2/7*j**4 + a + 2/7*j**2 + 0*j - 4/7*j**3 = 0.
0, 1
Let v = -5 + 10. Let j(w) = 2*w**2 - w + 1. Let f be j(1). Let v - 5 - u**f + 0 = 0. Calculate u.
0
Let g be (-12)/10*(-5)/2. Factor -8/9*s - 10/9*s**2 - 4/9*s**g - 2/9.
-2*(s + 1)**2*(2*s + 1)/9
Find o, given that -1/4*o**2 + 0 + 1/4*o**4 + 0*o**3 + 0*o = 0.
-1, 0, 1
Let w(m) be the second derivative of 3/8*m**4 + 0 - m - 1/5*m**6 + 1/4*m**3 + 0*m**5 + 0*m**2. Factor w(n).
-3*n*(n - 1)*(2*n + 1)**2/2
Let z(m) be the second derivative of 3*m + 1/12*m**4 + 0 + 0*m**2 - 1/20*m**5 + 0*m**3. Find v, given that z(v) = 0.
0, 1
Suppose 3*h**2 - 2*h + h**2 + 8*h - 7*h**2 = 0. What is h?
0, 2
Suppose c - 4 = s, c - 3*s = -s + 8. Determine j so that -1/4*j + c*j**3 + 1/4*j**5 + 0 - 1/2*j**4 + 1/2*j**2 = 0.
-1, 0, 1
Let r(w) = -w**2 + 4*w + 10. Let x be r(7). Let a be 11 + x + 2/5. Factor -1/5*b**2 + 0*b + 0 - 1/5*b**4 + a*b**3.
-b**2*(b - 1)**2/5
Let r(j) = -j**2 - 1. Let b(d) = -d**2 - d - 6. Let z(g) = b(g) - 4*r(g). Factor z(x).
(x - 1)*(3*x + 2)
Let m = -4 + 11. Factor 6 + 4*l**2 - l**2 + 0*l - 2*l - m*l.
3*(l - 2)*(l - 1)
Suppose -3*s = 4*v - 2*v - 13, -2 = -2*s + 2*v. Factor 3*h**s - 2*h**2 - 2*h**3 + 3*h**2 - 2*h**3.
-h**2*(h - 1)
Let s(j) = 2*j - 2. Let g be s(3). Let l = 6 - g. Let q**4 + q**l - q + q**3 - 3*q**2 + q**2 = 0. Calculate q.
-1, 0, 1
Suppose 4*p + 29 - 41 = 0. Let l(i) be the first derivative of 1/22*i**4 - 2/55*i**5 - 3 + 2/33*i**p + 0*i - 1/11*i**2. Suppose l(m) = 0. Calculate m.
-1, 0, 1
Let z(q) = q**2 + q - 72. Let n be z(8). Let f(v) be the first derivative of 3/5*v**5 - 3/4*v**4 + n*v + 0*v**2 + 0*v**3 + 1. Factor f(h).
3*h**3*(h - 1)
Suppose 2*r - 9 + 1 = 4*j, -14 = -3*r + 4*j. Let o be (-3)/r - (-14)/4. Factor -1 + f + 2 - 3*f**2 - f**o + 2*f**2.
-(f - 1)*(f + 1)**2
Suppose 0*a + 4*a - 12 = 0. Let h(l) be the third derivative of 1/100*l**5 + 0*l + 1/30*l**a - 1/600*l**6 - 1/40*l**4 + 0 - 2*l**2. Factor h(m).
-(m - 1)**3/5
Let w = -6 - -8. Let i be -3 + w*21/6. Let 0*m + 0*m**i + 2/11*m**3 + 0*m**2 - 2/11*m**5 + 0 = 0. What is m?
-1, 0, 1
Let m(i) = -5*i + 209. Let a be m(41). Factor -c - 13/4*c**3 + 0 + 3/2*c**a + 3*c**2 - 1/4*c**5.
-c*(c - 2)**2*(c - 1)**2/4
Suppose -h + 2 + 2 = 2*w, -w = h + 1. Let o be (-6)/63*14/h. Factor -4/9*j - o - 2/9*j**2.
-2*(j + 1)**2/9
Suppose -y - 2 = 8. Let p = -8 - y. Find v, given that -2*v - 2*v - 3*v - 15*v**p + v = 0.
-2/5, 0
Let y(r) be the third derivative of 2*r**7/105 - r**6/10 + r**5/5 - r**4/6 - 17*r**2. Suppose y(v) = 0. What is v?
0, 1
Let v = -4686/7 + 670. Factor -v*r**3 - 2/7*r**4 - 2/7*r**2 + 0 + 0*r.
-2*r**2*(r + 1)**2/7
Let z(s) = -5*s**3 - 5*s**2 - 3*s - 3. Let g(x) = 3*x**3 + 3*x**2 + 2*x + 2. Let q be (-2 + 12)/(-2 + 0). Let a(f) = q*z(f) - 8*g(f). Factor a(i).
(i - 1)*(i + 1)**2
Let q = -1 + 1. Let y = -11 - -17. Let 0*d**2 + q - 5*d - 2 + d**2 + y*d**2 = 0. What is d?
-2/7, 1
Let l be (-1)/3*(-60)/10. Suppose -2 + 7*h - h**2 + 2*h**l - h**3 - 5*h**2 - 12*h = 0. Calculate h.
-2, -1
Let j(s) be the second derivative of 1/18*s**4 - 1/9*s**3 - 1/3*s**2 + 1/30*s**5 + 0 - 2*s. Determine c, given that j(c) = 0.
-1, 1
Let v = -9 - -13. Factor m**v + 2*m - 2*m**2 + m**2 - 2*m**3 - m**3 - 10*m**5 + 11*m**5.
m*(m - 1)**2*(m + 1)*(m + 2)
Let g(q) = q - 5. Let x(t) = 3*t - 15. Let b(y) = -17*g(y) + 6*x(y). Let u be b(5). Factor 0*r**3 + 2*r - 2*r**3 + 0 + u.
-2*r*(r - 1)*(r + 1)
Let b(a) = -3*a**2 + 23*a. Let k(p) = -3*p**2 - 8*p. Let s(c) = c**2. Let y(m) = -k(m) - 4*s(m). Let q(z) = -6*b(z) + 17*y(z). Determine n, given that q(n) = 0.
0, 2
Let a(f) = f**2 + 2*f + 3. Let h be a(3). Let z = -18 + h. Factor 2/9*r**