. What is c in -3*c**4 + q*c**4 + x*c**4 = 0?
0
Let l(w) be the third derivative of -w**5/720 - w**4/72 - 16*w**2. Factor l(o).
-o*(o + 4)/12
Let o be -4 - (0 + (-73)/18). Let j(i) be the second derivative of -o*i**4 + 0*i**2 - i + 0 + 1/9*i**3. Factor j(a).
-2*a*(a - 1)/3
Let h(s) = -2*s**3 - 10*s**2 + 22*s + 33. Let a(b) = 15*b**3 + 80*b**2 - 175*b - 265. Let m(v) = -3*a(v) - 25*h(v). Factor m(q).
5*(q - 2)*(q + 1)*(q + 3)
Let d = 196051/150 - 1307. Let i(v) be the third derivative of d*v**5 - 1/30*v**4 + 0 + v**2 + 0*v + 1/15*v**3. Factor i(p).
2*(p - 1)**2/5
What is y in -2*y**3 + 4*y + 2*y**3 - 2*y**2 - 2*y**3 = 0?
-2, 0, 1
Factor -288/11 - 2/11*z**2 - 48/11*z.
-2*(z + 12)**2/11
Let d(c) be the first derivative of 0*c - 1/9*c**4 + 2/45*c**5 + 2/27*c**3 - 1 + 0*c**2. Solve d(f) = 0.
0, 1
Let j be (-8)/14*(-6)/12. Let 0*o**3 + 4/7*o**4 + 0*o + 0 + 0*o**2 - j*o**5 = 0. Calculate o.
0, 2
Let y = -5 + 7. Factor -16*o + 16*o - o**3 - o**y.
-o**2*(o + 1)
Suppose 30*l**3 - 3*l**2 + 12*l**5 + 18*l**3 - 57*l**3 = 0. What is l?
-1/2, 0, 1
Let t(z) = 7*z**3 + z**2. Let s be t(1). Suppose -k - k = -s. What is f in -2*f + k*f - f**3 - f**3 + 4*f**4 - 4*f**2 = 0?
-1, 0, 1/2, 1
Let w be 1*-4 - (-8)/1. Let k(m) be the third derivative of 0*m - 1/120*m**6 - 1/2*m**w - 4/3*m**3 - 1/10*m**5 - 2*m**2 + 0. Let k(c) = 0. Calculate c.
-2
Let n(u) be the second derivative of -u**5/2 + 25*u**4/12 + 10*u**3/3 - 15*u**2/2 + 6*u + 4. Factor n(o).
-5*(o - 3)*(o + 1)*(2*o - 1)
Suppose q + 5*t = 13, -2*t - t = -4*q + 6. Find v such that 3/2*v**2 + 3/2*v**3 - q*v + 0 = 0.
-2, 0, 1
Let y(b) be the second derivative of -2/3*b**2 - 6*b + 0*b**4 + 0 + 1/3*b**3 - 1/30*b**5. Find o, given that y(o) = 0.
-2, 1
Let o(i) be the first derivative of -i**3/18 + i**2/4 - i/3 - 10. Factor o(j).
-(j - 2)*(j - 1)/6
Suppose 4*z = 4*n, 12*z - 7*z - 4 = 3*n. Factor 2/3*w**z + 2/3*w + 0.
2*w*(w + 1)/3
Let y(p) be the second derivative of p**7/35 + 2*p**6/15 + 6*p**5/25 + p**4/5 + p**3/15 - 4*p. Factor y(m).
2*m*(m + 1)**3*(3*m + 1)/5
Suppose -3*g = 3*m, -3*g - 3 = -0*g. Let z be (3 - m)*39/104. Factor 1/4*r**2 + 1/2 - z*r.
(r - 2)*(r - 1)/4
Determine j so that -4/7*j + 4/7*j**3 + 2/7*j**2 + 0 - 2/7*j**4 = 0.
-1, 0, 1, 2
Let h(u) be the first derivative of -1/2*u**4 + 4 + 1/3*u**6 + 0*u**2 + 0*u + 2/5*u**5 - 2/3*u**3. Factor h(b).
2*b**2*(b - 1)*(b + 1)**2
Let q = -66 - -70. Let v(m) be the first derivative of 1/12*m**2 + 0*m - 1/24*m**4 - q + 0*m**3. Factor v(k).
-k*(k - 1)*(k + 1)/6
Let l(p) be the second derivative of -1/3*p**3 + 0*p**2 + 0 - p - 1/6*p**4. Find h such that l(h) = 0.
-1, 0
Factor 73*a**2 + 5 + 5 + 7*a**2 + a**3 - 36*a**3 - 55*a.
-5*(a - 1)**2*(7*a - 2)
Let r(k) be the second derivative of k**4/60 + k**3/10 - 2*k**2/5 - k. Solve r(g) = 0.
-4, 1
Let c(q) = 2*q**4 - q**3 + 3. Let v(d) = 6*d**4 - 4*d**3 + 10. Let l(k) = 10*c(k) - 3*v(k). Factor l(o).
2*o**3*(o + 1)
Let r(y) be the first derivative of y**6/30 - 3*y**5/10 + 3*y**4/4 - 3*y + 9. Let k(j) be the first derivative of r(j). Solve k(i) = 0 for i.
0, 3
Let p(r) be the third derivative of 0*r + 4*r**2 + 2/165*r**5 - 1/660*r**6 + 2/33*r**3 - 5/132*r**4 + 0. Factor p(i).
-2*(i - 2)*(i - 1)**2/11
Let r(x) be the second derivative of -3*x**7/35 + 8*x**6/25 - 13*x**5/50 + x**4/15 + 26*x. Factor r(i).
-2*i**2*(i - 2)*(3*i - 1)**2/5
Let q = -2/177 + 185/708. Let x be ((-4)/6 - 0)*-3. Suppose 1/4*k + 0 + q*k**x = 0. Calculate k.
-1, 0
Let a(c) be the first derivative of -11*c**5/5 - 5*c**4/4 - 5*c - 7. Let m(q) = 5*q**4 + 2*q**3 + 2. Let h(n) = 2*a(n) + 5*m(n). Factor h(i).
3*i**4
Let h(d) = -3*d - 7. Let u be h(-3). Factor -5*j**4 + 3*j**4 + 3*j**u + j**2 + 2*j**3.
-2*j**2*(j - 2)*(j + 1)
Let g(n) be the second derivative of 0*n**2 + 1/4*n**4 - 1/10*n**6 - 1/2*n**3 + 0 + 2*n + 3/20*n**5. Factor g(z).
-3*z*(z - 1)**2*(z + 1)
Let w(f) be the first derivative of f**4/2 - 10*f**3/3 + 7*f**2 - 6*f - 6. Factor w(m).
2*(m - 3)*(m - 1)**2
Suppose 9*x - 7*x - 20 = -4*j, 0 = -j + 5*x - 17. Factor 1/4*q**j - 1/4*q + 1/4*q**2 - 1/4.
(q - 1)*(q + 1)**2/4
Suppose 4*x = 4 - 0. Let h(v) = -v**2 - v - 1. Let z(f) = -8*f - 14. Let l(o) = -3*o - 5. Let j(m) = -16*l(m) + 5*z(m). Let r(w) = x*j(w) + 6*h(w). Factor r(p).
-2*(p - 1)*(3*p + 2)
Let s(k) be the third derivative of k**8/168 + 3*k**2. Factor s(b).
2*b**5
Let s(u) = 2*u**2 - 2*u + 3. Let q(f) = -3 - 9*f**2 + 7*f - 8 + 2*f**2. Let k(d) = -6*q(d) - 22*s(d). Factor k(g).
-2*g*(g - 1)
Let q = -861/10 - -86. Let s = 13/30 + q. Let 2/3*t**3 + 0 + 1/3*t**4 + s*t**2 + 0*t = 0. Calculate t.
-1, 0
Factor 8/11 - 2/11*z**2 + 0*z.
-2*(z - 2)*(z + 2)/11
Suppose 2*v - 26 - 16 = 0. What is k in 1 - 7 - 11*k**3 - 10*k**3 + 6*k**2 + v*k = 0?
-1, 2/7, 1
Let x be (0 + 3)/(36*5/40). Determine j, given that -8/3*j**2 - 2*j**5 + x*j + 0 + 4/3*j**3 + 8/3*j**4 = 0.
-1, 0, 1/3, 1
Suppose -8*k = -9*k + 7. Let z(y) be the second derivative of 0*y**5 + 0*y**2 + 0 - 2*y - 1/84*y**k - 1/60*y**6 + 0*y**3 + 0*y**4. Factor z(b).
-b**4*(b + 1)/2
What is q in -8/5*q**4 + 0 - 8/5*q + 8/5*q**2 + 6/5*q**3 + 2/5*q**5 = 0?
-1, 0, 1, 2
Let q = 5 + -6. Let m = q + 3. Factor -m*g**4 - 2*g**2 + 7*g**4 + 3*g**3 + 0*g**2 + 0*g**3.
g**2*(g + 1)*(5*g - 2)
Let i = 0 + 0. Suppose -5 = 4*p + 5*y, 5*p + 3*y + y - 5 = i. Factor -u**2 + 0*u**3 + u**4 + u**3 - u**p + 0*u**4.
-u**2*(u - 1)**2*(u + 1)
Let w(r) be the first derivative of -r**7/126 - r**6/45 - r**5/60 - 4*r - 5. Let i(k) be the first derivative of w(k). Factor i(q).
-q**3*(q + 1)**2/3
Let m be (-14)/(-7) + (-2)/(-3) - 2. Find n, given that -2/9*n**4 - m*n + 2/3*n**3 - 2/9*n**2 + 4/9 = 0.
-1, 1, 2
Let y = -16981/22 + 772. Let x = 59/110 - y. Determine b so that 2/5*b**3 - x*b + 0*b**2 + 0 = 0.
-1, 0, 1
Let l(j) be the third derivative of -j**6/450 - j**5/300 - j**3/3 - 4*j**2. Let v(z) be the first derivative of l(z). Let v(o) = 0. What is o?
-1/2, 0
Let f = 10 + -10. Solve -12*p + 3*p**2 + 4*p**2 + f*p**2 + 18 - 5*p**2 = 0 for p.
3
Factor -4*c**2 - c**5 - 2*c**4 - c**4 - c**3 - 2*c**3 + 3*c**2.
-c**2*(c + 1)**3
Let z(m) be the second derivative of -m**6/6 + m**5/2 + 5*m**4/12 - 5*m**3/3 - 17*m. Let z(l) = 0. Calculate l.
-1, 0, 1, 2
Solve -128/7 + 32/7*w - 2/7*w**2 = 0 for w.
8
Let r = -34151343/128485 + 6/25697. Let a = -263 - r. Factor -4/5*g**3 + 0*g - a*g**5 + 0*g**2 + 18/5*g**4 + 0.
-2*g**3*(g - 1)*(7*g - 2)/5
Let s(w) be the third derivative of w**7/2940 - w**6/252 + w**5/140 + 3*w**4/28 + w**3/3 + 8*w**2. Let f(a) be the first derivative of s(a). Factor f(r).
2*(r - 3)**2*(r + 1)/7
Suppose -6*v + 20 = -2*v. Let k(p) be the second derivative of 2*p - 1/30*p**v + 0 + 1/9*p**3 + 1/9*p**4 - 2/3*p**2. Factor k(c).
-2*(c - 2)*(c - 1)*(c + 1)/3
Let a(z) be the third derivative of -z**8/336 + z**7/105 + z**6/40 - 6*z**2. Factor a(c).
-c**3*(c - 3)*(c + 1)
Suppose 3*l + 0*c - 14 = -2*c, l - c = -2. Suppose 3*n = 4*r - l*n + 7, n = 2*r - 1. Factor r*q**2 - 4*q**2 + 2 + 0.
-2*(q - 1)*(q + 1)
Let i = -561 - -2807/5. Determine y so that 7/5*y + 2/5 + i*y**2 - 3/5*y**3 = 0.
-1, -1/3, 2
Factor -2*d**4 - 88*d - 3*d**3 - 128 - 120*d**2 - 136*d - 23*d**3.
-2*(d + 1)*(d + 4)**3
Suppose -h - s + 5*s - 6 = 0, 4*h = -2*s + 12. Factor 2/7*g**h + 0 + 2/7*g.
2*g*(g + 1)/7
Let r(u) be the second derivative of 16*u**5 + 20*u**4 + 15*u**3/2 + 46*u. Determine t, given that r(t) = 0.
-3/8, 0
Factor -1/6*u**2 + 1/6 - 1/6*u**3 + 1/6*u.
-(u - 1)*(u + 1)**2/6
Let q be (3/(-2))/((-15)/110). Factor -2*n**4 - 4*n**2 - 6*n**3 - q + 11.
-2*n**2*(n + 1)*(n + 2)
Let w be (-15)/(-30) + (-34)/(-4). Suppose w*z = 5*z. Factor -4/7*x + z + 2/7*x**2.
2*x*(x - 2)/7
Let z(y) = -y**3 - 2*y**2 + y - 2. Let g(c) = 2*c**3 + 3*c**2 - 2*c + 2. Let t(f) = 4*g(f) + 5*z(f). Find v such that t(v) = 0.
-1, -2/3, 1
Factor 30 - 13*t**2 - 4*t**2 + 12*t**2 - 5*t.
-5*(t - 2)*(t + 3)
Suppose -5*j + 36 = -n, -3*j - 5*n = -1 - 43. Factor -2*k**2 - 8 + 2*k + j.
-2*k*(k - 1)
Factor -1/4*h**5 - 4*h**2 - 7/2*h**3 - 1/2 - 9/4*h - 3/2*h**4.
-(h + 1)**4*(h + 2)/4
Let i(c) be the first derivative of -3*c**5/40 - 5*c**4/24 - c**3/12 + c**2/4 + 3*c + 1. Let w(b) be the first derivative of i(b). Let w(o) = 0. What is o?
-1, 1/3
Let o(r) be the third derivative of r**9/40320 + r**8/40320 + r**5/15 + r**2. Let f(m) be the third derivative of o(m). F