/2*g**2 - 12/5*g**5 + 2 + 0*g - 4*g**3 - 1/2*g**6. Suppose x(f) = 0. What is f?
-1, 0
Suppose -2*s - 13 = -s - 3*a, 0 = -4*s - 3*a + 23. Suppose 4*x = d - 3, 2*x - 12 = -2*d - s*d. Factor 7/2*f**2 - 5/2*f**d + 0 - f.
-f*(f - 1)*(5*f - 2)/2
Let h(a) = 456*a**2 - 534*a + 105. Let k(z) = -35*z**2 + 41*z - 8. Let u(w) = 2*h(w) + 27*k(w). Factor u(r).
-3*(r - 1)*(11*r - 2)
Let s = 166 - 164. Factor -8/7 - 2/7*x**s + 8/7*x.
-2*(x - 2)**2/7
Determine f so that -f - 2 - 1/8*f**2 = 0.
-4
Let t(z) = z**4 - z**3 + z**2 + z - 1. Let f(u) = -15*u**3 - 12*u**2 - 3*u - 3. Let y(x) = -f(x) + 3*t(x). Determine w, given that y(w) = 0.
-2, -1, 0
Let m(u) = -5*u**2 + 22*u + 25. Let q(c) = 15*c**2 - 67*c - 75. Let a(v) = -7*m(v) - 2*q(v). Solve a(l) = 0.
-1, 5
Factor 0 - 8/3*k - 16/3*k**2 - 2/3*k**4 - 10/3*k**3.
-2*k*(k + 1)*(k + 2)**2/3
Let d = 40 + -38. Let -9/4*q**d - 3/2*q - 3/4*q**3 + 0 = 0. What is q?
-2, -1, 0
Let o = -53 + 57. Let c(x) be the second derivative of 0*x**o + 0*x**3 + 0*x**2 - 1/10*x**5 + 0 + 3*x. Factor c(t).
-2*t**3
Let r(h) = -h**3 + 3*h**2 + 11*h - 1. Let f be (10/(-6))/(4/(-12)). Let t be r(f). Suppose -1/4*i + 0 - 1/4*i**t - 3/4*i**3 - 3/4*i**2 = 0. What is i?
-1, 0
Let k = 317/2 + -131. Let u = k - 27. Find d, given that 1/2*d**2 + 0 + u*d = 0.
-1, 0
Let j = -3 + 7. Determine f so that f**j - 4*f**2 + 5*f**2 - f**3 + 2*f**2 + f - 4*f**2 = 0.
-1, 0, 1
Let l be (4/(-28))/(4/(-14)). Let c be 2/8 + 1/4. Find u such that -c*u**2 - l*u + 1/2*u**3 + 0 + 1/2*u**4 = 0.
-1, 0, 1
Factor -a**2 + 6*a**2 - 88*a**3 + 83*a**3.
-5*a**2*(a - 1)
Let b(m) be the third derivative of -2*m**2 - 1/2*m**4 + 1/5*m**5 + 1/2*m**3 + 0*m + 0. Find w, given that b(w) = 0.
1/2
Factor -1/2*t - 1/6*t**3 - 5/6*t**2 + 3/2.
-(t - 1)*(t + 3)**2/6
Determine h, given that -8/9*h**2 + 2/9*h**3 + 0 + 0*h = 0.
0, 4
Let b = -53 + 161/3. Let 8/3*l - b*l**2 - 8/3 = 0. Calculate l.
2
Let h be 2/4 - (-35)/(-126). Solve 0 - 2/9*u**2 - h*u**3 + 0*u = 0.
-1, 0
Determine v so that 1/6*v**2 + 2/3*v + 0 = 0.
-4, 0
Suppose -2*r - 2*m = -8, -4*r - 8 = -3*r - 5*m. Suppose 2*d**3 - 2*d**3 + r*d**3 - 2*d + 0*d = 0. What is d?
-1, 0, 1
Suppose -2*k - 2*g = -4*k + 10, -3*g = 9. Solve 3*f**2 + 6*f - 10*f + f**k = 0 for f.
0, 1
Let n(j) = -j + 2. Let z be n(3). Let f be ((0 - -2) + -2)/z. Suppose -2*r**4 + f*r**3 + r**5 + 0*r**2 + r**2 + r**4 - r**3 = 0. What is r?
-1, 0, 1
Let k(l) = l**5 + 5*l**3 + 7*l**2 - 3*l - 1. Let w(s) = -4*s**5 - 14*s**3 - 22*s**2 + 8*s + 2. Let d(z) = 10*k(z) + 3*w(z). Factor d(a).
-2*(a - 2)*(a - 1)*(a + 1)**3
Let a(p) = p**3 - p**2 + p. Let r(d) = 3*d**4 - 3*d**3 - 3*d. Let k(x) = -3*a(x) - r(x). Solve k(s) = 0 for s.
-1, 0, 1
Let c(u) = u**3 + 4*u**2 + u - 2. Let i be c(-3). Suppose 0 = -b + i*l + 12, 3*b - 12 - 8 = 4*l. Factor -4/3 - 20/3*o + o**2 + 70/3*o**3 - 49/3*o**b.
-(o - 1)**2*(7*o + 2)**2/3
Let j be (4 - (-20)/(-4)) + 1. Suppose 2*i - 4 = -j*i. Find v such that 4/5*v + 2*v**i + 0 - 6/5*v**3 = 0.
-1/3, 0, 2
Determine m so that -52/3*m**4 - 8/3*m**5 - 64/3*m - 4 - 128/3*m**2 - 40*m**3 = 0.
-3, -1, -1/2
Let p(z) be the second derivative of 1/12*z**3 + 0*z**2 - 3*z + 0 - 1/24*z**4. Factor p(r).
-r*(r - 1)/2
Let x be 1/(-2)*(-1 - -31). Let v = 17 + x. Factor 5/3*s**4 - 1/3*s**5 + 10/3*s**v + 1/3 - 10/3*s**3 - 5/3*s.
-(s - 1)**5/3
Let j = 17 + -17. Factor 9*x**2 + 196*x**5 + 84*x**4 + j*x**2 - 96*x**3 + 7*x**2.
4*x**2*(x + 1)*(7*x - 2)**2
Let r(s) be the second derivative of s**5/120 - s**4/24 + s**3/12 - s**2/2 + s. Let b(d) be the first derivative of r(d). Factor b(t).
(t - 1)**2/2
Let b(s) be the first derivative of -s**5/5 - s**4/4 + s**3/3 + s**2/2 + 1. Factor b(v).
-v*(v - 1)*(v + 1)**2
Let o(r) = r**3 - 14*r**2 + r - 14. Let l be o(14). Let b(d) be the second derivative of 2*d + 0*d**3 + 3/2*d**2 - 1/4*d**4 + l. Factor b(a).
-3*(a - 1)*(a + 1)
Let k(y) be the first derivative of y**3/18 + y**2/4 + 40. Determine a so that k(a) = 0.
-3, 0
Let z = -28 - -32. Let o(n) be the first derivative of z - 2/25*n**5 - 1/5*n**2 + 2/15*n**3 + 1/10*n**4 + 0*n. Factor o(r).
-2*r*(r - 1)**2*(r + 1)/5
Let v(w) be the third derivative of -w**6/324 + w**5/180 + w**4/54 - w**3/2 - w**2. Let h(b) be the first derivative of v(b). Determine q so that h(q) = 0.
-2/5, 1
Let r be (4/(-27))/(-2 - -1). Let j(p) be the first derivative of -1/18*p**4 - 4 + 1/9*p**2 + r*p**3 - 4/9*p. Factor j(v).
-2*(v - 2)*(v - 1)*(v + 1)/9
Let m = 5/14 - -31/70. Factor 6/5*f**4 - m*f**2 - 2/5 - 2/5*f**5 - 4/5*f**3 + 6/5*f.
-2*(f - 1)**4*(f + 1)/5
Let j be (-2)/(-7) + 24/14. Find y, given that -2*y**2 - 2*y**3 - 4*y**3 - 10*y**2 + 6*y + 3*y**j = 0.
-2, 0, 1/2
Let f(m) be the first derivative of -1/12*m**3 + 1/2*m**2 - m - 4. Solve f(x) = 0 for x.
2
Let g = 142 + -140. Let -3/4 + 3/4*o + 3/2*o**g = 0. Calculate o.
-1, 1/2
Let c = -1 - -1. Let u(f) be the third derivative of 2*f**2 + 1/6*f**3 + 1/4*f**4 + c*f + 0 + 3/16*f**5 + 5/96*f**6. Determine g, given that u(g) = 0.
-1, -2/5
Let 1/3*d**2 + 0 + 0*d = 0. What is d?
0
Let b(l) be the third derivative of -1/60*l**5 + l**2 - 1/336*l**8 + 0*l**3 + 0*l**4 + 1/120*l**6 + 0*l + 0 + 1/210*l**7. Suppose b(o) = 0. What is o?
-1, 0, 1
Let a(n) = n - 1. Let d(t) = -5*t**2 + 5*t + 40. Let s(r) = -30*a(r) + d(r). Factor s(w).
-5*(w - 2)*(w + 7)
Let w(a) be the third derivative of 0 - a**2 + 0*a**4 - 1/2*a**3 + 1/20*a**5 + 0*a. Solve w(p) = 0 for p.
-1, 1
Let s(n) be the first derivative of -2/5*n + 0*n**2 - 1 + 2/15*n**3. Factor s(h).
2*(h - 1)*(h + 1)/5
Let j be (-5)/(-2)*70/25. Let c(t) be the third derivative of -1/48*t**6 - 1/12*t**4 + 0*t + 0 - 1/15*t**5 + t**2 - 1/420*t**j + 0*t**3. Factor c(q).
-q*(q + 1)*(q + 2)**2/2
Let r(y) be the first derivative of -9/5*y**5 + 2*y**3 - 1/2*y**6 + 2 + 9/2*y**2 - 3/2*y**4 + 3*y. Let r(u) = 0. What is u?
-1, 1
Let f(c) be the second derivative of 0*c**2 + 1/15*c**6 + 0*c**5 + 0*c**3 + 0 + 0*c**4 - 3*c + 1/21*c**7. Factor f(s).
2*s**4*(s + 1)
Let u be -3 + 34/(-4)*6/(-15). Let u*q**4 + 2/5 - 2/5*q**5 - 4/5*q**2 - 2/5*q + 4/5*q**3 = 0. Calculate q.
-1, 1
Let t(y) be the first derivative of -y**6/1440 + y**5/480 + 2*y**3 + 4. Let c(n) be the third derivative of t(n). Suppose c(q) = 0. What is q?
0, 1
Find b such that 4*b**2 - 3*b + 3 + 2*b**2 - 3 = 0.
0, 1/2
Suppose -4*d - 3*w = 2*w + 79, -4*w + 36 = -3*d. Let t be ((-28)/d + -2)*-1. Factor t*m**4 + 3/4*m**2 + 3/4*m**3 + 0 + 1/4*m.
m*(m + 1)**3/4
Let s(h) = 3*h**2 + 9*h - 4. Suppose 4*p - m - 23 = 0, -p - m + 6*m = -20. Let z(j) = -j + 1. Let g(t) = p*z(t) + s(t). Factor g(b).
(b + 1)*(3*b + 1)
Factor -3*q**4 - 4*q**3 + 0*q**4 + 37*q**3 + 0*q**4.
-3*q**3*(q - 11)
Determine m so that 6*m**3 - 2*m**4 + 3*m**2 - 1 - 9*m**2 + 1 + 2*m = 0.
0, 1
Suppose -6 = -2*h - h. Let a be (h - 1)/((-1)/(-2)). Determine v so that 0*v**2 + v**2 - 2*v**a - v = 0.
-1, 0
Let k(g) be the second derivative of 0 + 7*g - 1/54*g**4 + 1/45*g**5 - 2/27*g**3 + 0*g**2 + 1/135*g**6. Factor k(u).
2*u*(u - 1)*(u + 1)*(u + 2)/9
Factor -3/5*z**3 + 3/5*z + 0 + 0*z**2.
-3*z*(z - 1)*(z + 1)/5
Let u(z) = -z**3. Let y(f) = -f**3 + 2*f**2 - 5*f - 4. Let o(a) = 12*u(a) - 3*y(a). Factor o(d).
-3*(d + 1)**2*(3*d - 4)
Let p = -94 - -472/5. Factor 0 + 6/5*b**2 - 6/5*b**3 - p*b + 2/5*b**4.
2*b*(b - 1)**3/5
Let a(y) = 2*y**3 - 6*y**2 + 3*y + 11. Let o(m) = -4*m**3 + 12*m**2 - 7*m - 23. Let l(z) = 7*a(z) + 3*o(z). What is d in l(d) = 0?
-1, 2
Factor 6/5*x**2 + 3/5*x**3 + 3/5*x + 0.
3*x*(x + 1)**2/5
Let g(w) be the second derivative of 13*w**4/4 - 7*w**3 + 3*w**2/2 + 13*w. Factor g(d).
3*(d - 1)*(13*d - 1)
Let z(i) = 9*i**3 - 3*i**2 - 3*i + 3. Let x = -72 - -66. Let h = 6 + -11. Let r(f) = -8*f**3 + 3*f**2 + 3*f - 3. Let p(t) = h*z(t) + x*r(t). Factor p(s).
3*(s - 1)**2*(s + 1)
Let v(n) = -n**2 - 3*n + 2. Let s be v(-3). Suppose q - q + q**s = 0. Calculate q.
0
Suppose 0 = 4*n - 5*z + 2*z + 13, 2*z = -4*n - 18. Let f = -2 - n. Factor 0*y**2 - 2/3*y**4 + 0 + f*y**3 - 8/3*y.
-2*y*(y - 2)**2*(y + 1)/3
Let b(i) be the first derivative of 15/8*i**2 - 9 - 9/4*i + 1/2*i**3. Factor b(f).
3*(f + 3)*(2*f - 1)/4
Suppose -12*w + 13*w = 0. Let l(k) be the second derivative of 3*k + 1/40*k**5 - 1/24*k**4 + 0 + w*k**3 + 0*k**2. Factor l(f).
f**2*(f - 1)/2
Let g(p) be the first derivative of -9*p**4/26 + 4*p**3/13 - p**2/13 + 6. Determine n,