 + 14. Suppose -r**2 + 3*r - 6 + 2 + g = 0. Calculate r.
1, 2
Suppose 1/7*g**2 + 2/7*g - 1/7*g**3 + 0 = 0. Calculate g.
-1, 0, 2
Solve 6*h**2 + 18 - 18*h - 2/3*h**3 = 0 for h.
3
Let r(g) be the second derivative of 1/30*g**5 + 0 - 1/9*g**3 - 1/18*g**4 + 3*g + 1/3*g**2. Factor r(b).
2*(b - 1)**2*(b + 1)/3
Let c(f) = 3*f - 9. Let y be c(6). Let m be (3/9)/(3/y). Factor m - 2 - 1 + 6*r**2 + 4*r**3.
2*(r + 1)**2*(2*r - 1)
Let n(f) = -3*f**2 + 6*f + 8. Let h(d) = -d**2 + 2*d + 3. Let z(p) = -8*h(p) + 3*n(p). Find m such that z(m) = 0.
0, 2
Let p = 137 - 134. Let x(s) be the second derivative of 1/2*s**3 + p*s - 1/2*s**4 + 0*s**2 + 0 + 3/20*s**5. Factor x(h).
3*h*(h - 1)**2
Let c(m) = -8*m**5 + 5*m**4 + 29*m**3 + 16*m**2 - 5*m - 5. Let z(o) = 4*o**5 - 3*o**4 - 15*o**3 - 8*o**2 + 3*o + 3. Let p(h) = -3*c(h) - 5*z(h). Solve p(j) = 0.
-1, 0, 2
What is g in -g**4 + 12*g**3 + 3*g**4 + 6*g**2 - 14 + 5 - 12*g + g**4 = 0?
-3, -1, 1
Suppose -3*j = -6*j + 336. Find m, given that 2*m**4 + 133*m**3 + 6 + 13*m**4 - 21*m - j*m**3 - 3*m**4 - 18*m**2 = 0.
-2, -1, 1/4, 1
Suppose 4*j - 4 = -3*l + 2*l, -3*j - 4*l = -16. Determine k, given that -3/2*k**3 - k + 5/2*k**2 + j = 0.
0, 2/3, 1
Let h be (-4)/(-6) - 16/(-12). Suppose 5*z - 5 = -n, 2*z + n = -h*z + 3. Factor 0*k**z + 0 + 1/2*k - 1/2*k**3.
-k*(k - 1)*(k + 1)/2
Factor 2*r - 1/4*r**2 - 4.
-(r - 4)**2/4
Let b(a) be the second derivative of a**7/336 + a**6/240 - a**5/80 - a**4/48 + a**3/48 + a**2/16 - 11*a. What is g in b(g) = 0?
-1, 1
Let a be 1/(-4)*(10 - 10). Let g be (a/(-1))/(8 - 6). Let 2/7*s**2 + 0 + g*s = 0. What is s?
0
Let 1/2*y**3 - 2*y + 2 - 1/2*y**2 = 0. What is y?
-2, 1, 2
Let l(w) be the first derivative of -3*w**4/28 + 2*w**3/7 - 3*w**2/14 - 7. Factor l(i).
-3*i*(i - 1)**2/7
Let m = -19 + 19. Solve -2*o**3 + m + 10/3*o**2 - 4/3*o = 0.
0, 2/3, 1
Find a, given that 0*a + 0 + 0*a**2 + 3/5*a**3 = 0.
0
Suppose -3*k + 2*k = 2, v + 4 = -2*k. Suppose v = -4*c - 3*z - 9, -3*c + 15 = -0*z - 5*z. Find h, given that 1/4*h + c + 1/4*h**2 = 0.
-1, 0
Let i be 0/(-6)*(-1)/1. Factor -t**4 + 2/3*t**2 + i*t - 1/3*t**3 + 0.
-t**2*(t + 1)*(3*t - 2)/3
Determine s so that -2/23*s**2 + 12/23 + 2/23*s = 0.
-2, 3
Let i(d) = -d**2 - 8*d. Let h be i(-8). Let 0 + 2/5*f**5 - 2/5*f**4 - 2/5*f**3 + 2/5*f**2 + h*f = 0. Calculate f.
-1, 0, 1
Let d(z) = z**3 + z**2 + 7*z. Let a = -4 - -7. Let c(m) = m**2 + 2*m**3 - m**a + 13*m + 0*m**2. Let l(v) = -3*c(v) + 5*d(v). Factor l(u).
2*u*(u - 1)*(u + 2)
Let c be 5/4 + 4/(-16). Let m be (-17 + 13)/(-5 - c). What is l in 0*l - 2/3*l**4 + 2/3*l**2 + 2/3*l**5 + 0 - m*l**3 = 0?
-1, 0, 1
Let p(r) = -6*r**3 + r**3 + 4*r**3. Let c(f) = -5*f**3 + f. Suppose 2*d + 23 = 5*n, 5*d + 4*n - 23 = 2*d. Let h(w) = d*c(w) - 4*p(w). Factor h(g).
-g*(g - 1)*(g + 1)
Let q be 4 + (-33)/14 + (-2)/4. Find z, given that -2/7*z**3 + 0 - q*z - 8/7*z**2 = 0.
-2, 0
Let j be (-1)/(-4)*-6*3/(-45). Let p(q) be the first derivative of -j*q**5 + 1/3*q**3 - 1/2*q + 2 + 1/4*q**4 - 1/12*q**6 - 1/4*q**2. Factor p(f).
-(f - 1)**2*(f + 1)**3/2
Let t(a) be the first derivative of a**4 + 4*a**3 - 2*a**2 - 12*a - 31. Suppose t(r) = 0. What is r?
-3, -1, 1
Let r(a) be the second derivative of 4*a**3 + 3/10*a**6 + 6*a**2 - 7/4*a**4 + 0 + 9/14*a**7 - 51/20*a**5 - 3*a. Find v, given that r(v) = 0.
-1, -2/3, 1
Let q(t) be the second derivative of -t**4/16 - 8*t. Factor q(s).
-3*s**2/4
Let n(q) be the first derivative of q**2 + 2 + 0*q + 7/4*q**4 - 3*q**3. Factor n(r).
r*(r - 1)*(7*r - 2)
Let i be (-2474)/14 + 1 + -1. Let s = i - -177. Find y, given that 0 - s*y**3 - 2/7*y - 4/7*y**2 = 0.
-1, 0
Factor -16*d**2 - 2*d**3 + 29*d**2 + 2*d**4 - 17*d**2.
2*d**2*(d - 2)*(d + 1)
Let s = 263 + -260. Factor -1/2*w**s + 1/2*w + 0 + 1/4*w**2 - 1/4*w**4.
-w*(w - 1)*(w + 1)*(w + 2)/4
Let k(m) be the third derivative of 0 + 1/165*m**5 - 2/33*m**3 + 0*m + 1/660*m**6 - 1/132*m**4 - 2*m**2. Solve k(h) = 0.
-2, -1, 1
Let m = 69 - 67. Let v(s) be the first derivative of 1/9*s**m + 2/27*s**3 - 4/9*s - 2. Factor v(d).
2*(d - 1)*(d + 2)/9
Factor -285*c - 5 + 285*c + 5*c**2.
5*(c - 1)*(c + 1)
Let w(p) = p - 2. Let h be w(4). Suppose 0 = 4*b + c - 32, -3 = c + 1. Factor -h*f**2 + 3*f - 2*f**2 - 3*f**4 - 5*f**2 + b*f**3.
-3*f*(f - 1)**3
Let w be (-6)/(-5)*(-420)/(-24). Let n = 25 - w. What is z in 0*z**2 + 1/3*z**n - 2/3*z**3 + 2/3*z - 1/3 = 0?
-1, 1
Factor 18/5 + 2/5*h**2 + 12/5*h.
2*(h + 3)**2/5
Let r be (27/(-36))/((-9)/45). Factor 3/4*j**2 + r*j + 3.
3*(j + 1)*(j + 4)/4
Let g(b) = 43*b**4 - 24*b**3 - 48*b**2 + 24*b + 12. Let r(t) = 29*t**4 - 16*t**3 - 32*t**2 + 16*t + 8. Let w(z) = 5*g(z) - 7*r(z). Let w(c) = 0. What is c?
-1, -1/3, 1
Let l(m) be the third derivative of -m**5/90 + m**4/36 - 6*m**2. Factor l(z).
-2*z*(z - 1)/3
Let a = -24 + 30. Suppose a*o - 2*o = -2*l, -4*l = 0. Determine n so that 0*n + 1/3*n**2 + 1/3*n**4 + o + 2/3*n**3 = 0.
-1, 0
Factor -32/23*f**2 - 4/23 - 14/23*f**3 - 22/23*f.
-2*(f + 1)**2*(7*f + 2)/23
Let k be -9*-1*(3 - 2). Suppose -2*r = r - k. Factor 3*p**r + 9 + 12*p**2 + 15*p + 0*p**3 - 3.
3*(p + 1)**2*(p + 2)
Let f(u) = -u**4 - u**3 - 1. Suppose -h + 5 = 3. Let r(l) = h + 8*l**4 - 2*l**4 + 4*l**3 + 0*l**4 + 2*l**5. Let y(n) = -2*f(n) - r(n). Let y(a) = 0. What is a?
-1, 0
Let a be 27/5 + (-8)/20. Let x(s) = -s + 7. Let l be x(a). Factor -4*d**2 - l*d - 4 - 2*d**3 + 4.
-2*d*(d + 1)**2
Let r = -3 + 2. Let u(o) = 2*o**4 + 2*o**3 - 2*o**2 - 2. Let c(f) = f - 1. Let q(d) = r*u(d) + 2*c(d). Determine z, given that q(z) = 0.
-1, 0, 1
Factor 1/7*h**4 - 1/7*h + 0 - 1/7*h**2 + 1/7*h**3.
h*(h - 1)*(h + 1)**2/7
Let m = 165 + -161. Let -3*k + 18*k**3 + 15/2*k**2 + 0 - 6*k**5 + 3/2*k**m = 0. Calculate k.
-1, 0, 1/4, 2
Let y(o) = -o**3 + o**2 + o - 1. Let z(m) = -4*m**3 - 16*m**2 + 70*m - 62. Let t(f) = 6*y(f) - z(f). Suppose t(c) = 0. What is c?
2, 7
Let x(z) = 12*z**2 + 32*z + 8. Let n(m) = m**2 + m + 1. Let d(i) = -8*n(i) + x(i). Factor d(y).
4*y*(y + 6)
Suppose 146*q = 143*q. Factor -1/5 + q*c + 1/5*c**2.
(c - 1)*(c + 1)/5
Suppose 0*g + 3*g + 25 = -5*q, 5*g = -3*q - 15. Factor 0*z**2 + 0*z + 2/3*z**4 + g + 1/3*z**5 + 1/3*z**3.
z**3*(z + 1)**2/3
Let w = -4 - -7. Factor 2*h - w*h**3 + 5*h**2 + 4*h - 2*h**2.
-3*h*(h - 2)*(h + 1)
Let k(b) be the first derivative of -b**7/210 - b**6/120 + b**5/20 + b**4/24 - b**3/3 + 3*b**2/2 - 4. Let z(l) be the second derivative of k(l). Factor z(m).
-(m - 1)**2*(m + 1)*(m + 2)
Let d(s) be the second derivative of s**6/10 - 3*s**5/10 - s**4 + s**3 + 9*s**2/2 + 21*s. Suppose d(m) = 0. What is m?
-1, 1, 3
Let j(r) be the first derivative of r**7/420 - r**5/60 + r**3 + 2. Let o(i) be the third derivative of j(i). Factor o(q).
2*q*(q - 1)*(q + 1)
Suppose -3*b - l + 10 = 0, 2*b - 3 = -4*l + 17. Let f be -1*2*b/(-8). Solve -3/2*i**2 - f - 1/2*i**3 - 3/2*i = 0 for i.
-1
Solve 24/5 + 47/5*y**3 + 48/5*y**4 - 9/5*y**5 - 62/5*y**2 - 28/5*y = 0 for y.
-1, 2/3, 6
Suppose -2 = 2*p + p + 2*c, -5*c - 5 = -4*p. Factor p*d + 0*d**3 - 3*d**3 + 5*d**3 - 2*d.
2*d*(d - 1)*(d + 1)
Let k(m) be the first derivative of 1/48*m**4 - 1/120*m**6 + 3 + 0*m**5 + 3*m + 0*m**2 + 0*m**3. Let u(z) be the first derivative of k(z). Factor u(a).
-a**2*(a - 1)*(a + 1)/4
Suppose -2*p - 3 = -3*k - 7, 0 = -4*p + 3*k + 8. Suppose p*q - q = 0. Determine n so that q*n - 2/3*n**2 + 2/3 = 0.
-1, 1
Let d(s) be the third derivative of 0*s**4 + 1/90*s**5 + 0*s + 3*s**2 - 1/9*s**3 + 0. Factor d(b).
2*(b - 1)*(b + 1)/3
Let j = -235/4 + 59. Suppose 2*s - 2 = -0. Factor j*u**2 - u + s.
(u - 2)**2/4
Let j(o) be the first derivative of -o**5 + 20*o**3/3 - 10. Let j(d) = 0. Calculate d.
-2, 0, 2
Let z = -509/6 - -85. Let j(d) be the first derivative of -3 + 0*d - z*d**4 + 0*d**2 + 1/9*d**6 - 1/9*d**3 + 1/15*d**5. Determine b, given that j(b) = 0.
-1, -1/2, 0, 1
Suppose p + 4 = -4*k, -k - 4*k - 5 = 5*p. Factor 2*a**3 - a - 3*a**3 + 0*a + p*a**2 + 2*a**2.
-a*(a - 1)**2
Factor 2/3*u**4 + 4/3*u**2 - 2*u**3 + 0 + 0*u.
2*u**2*(u - 2)*(u - 1)/3
Let d(l) be the second derivative of 0 + 0*l**2 + 1/27*l**3 - 3*l + 0*l**4 - 1/90*l**5. Factor d(i).
-2*i*(i - 1)*(i + 1)/9
What is w in 14/3*w + 7/3*w**2 + 1/3*w**3 + 8/3 = 0?
-4, -2, -1
Let s(n) be the second derivative of -n**4/32 + 19*n**3/8 - 1083*n**2/16 + 3*n - 12. Let s(k) = 0. What is k?
19
Let q(z) be the third derivativ