**5 + 8/9 - 4/9*i + 8/9*i**3 + 8/9*i**4 = 0. Calculate i.
-1, 1, 2
Suppose m**2 + 0*m + 0 - 1/2*m**3 = 0. Calculate m.
0, 2
Let s(j) be the first derivative of j**4/12 + 2*j - 1. Let k(q) be the first derivative of s(q). Find l, given that k(l) = 0.
0
Suppose -2*b - 24 = -2*h - 2*h, -2*h = b. Let m be ((-2)/b)/(1/6). Factor 0*s**m + 2/7*s**3 + 0*s + 0.
2*s**3/7
Let t(r) = 3*r**2 - r - 6. Let y(s) = -3*s**2 + 7. Suppose -3 = l + 2*n, -3*l - 1 = 5*n - n. Let q(b) = l*t(b) + 4*y(b). Factor q(v).
(v - 2)*(3*v + 1)
Suppose -4*x - 3*z + 28 = -z, 0 = 3*x - 5*z - 21. Suppose 0 = -2*m + x + 1. What is y in y**m + 9*y**3 - 23*y**2 - 3*y**4 - 3*y**2 + 3*y**3 - 8 + 24*y = 0?
1, 2
Let x(q) be the third derivative of q**7/735 - q**6/420 - q**5/105 + q**2. Determine y so that x(y) = 0.
-1, 0, 2
Let n be (20/(-70))/((-24)/63). Let h be 6/(2 + 2 + -2). Factor -1/4*w**h - 3/4*w + 1/4 + n*w**2.
-(w - 1)**3/4
Let p(s) = 2*s**2 - 3*s**2 - 6 + 2*s**2 - 5*s**3. Suppose 30 = -21*m + 16*m. Let z(b) = -4*b**3 + b**2 - 5. Let o(t) = m*z(t) + 5*p(t). Factor o(l).
-l**2*(l + 1)
Let g(z) be the third derivative of z**5/270 - z**4/27 + 4*z**3/27 + 7*z**2. Find o such that g(o) = 0.
2
Let w(h) = h + 9. Let y be w(-5). Let i(q) be the second derivative of -1/3*q**2 + 3*q - 1/6*q**y + 0 + 1/30*q**5 + 1/3*q**3. Let i(f) = 0. Calculate f.
1
Let w = -7 + 12. Suppose -5*o = w*u, 5*o - 17 = 3*u + 15. Factor 4*h + 2*h**5 + 2*h**3 + 5*h**4 - 4*h - h**o.
2*h**3*(h + 1)**2
Let s = -275 + 278. Factor 0*a + 0*a**2 - 2/15*a**s + 0.
-2*a**3/15
Let v(f) be the third derivative of f**6/105 - f**5/35 + f**4/28 - f**3/42 - 10*f**2. Factor v(y).
(2*y - 1)**3/7
Let h(f) be the third derivative of f**7/315 - f**5/90 + 3*f**2. Suppose h(b) = 0. What is b?
-1, 0, 1
Let k = 290/3 + -96. Determine q so that 4/3*q**3 - k*q + 0 + 0*q**4 + 0*q**2 - 2/3*q**5 = 0.
-1, 0, 1
Suppose -6*i + 0*i = -2*i. Factor 1/2*m + i*m**2 - 1/2*m**3 + 0.
-m*(m - 1)*(m + 1)/2
Factor 0*a + 2/5 - 2/5*a**2.
-2*(a - 1)*(a + 1)/5
Let q(m) = -m**3 + m**2. Let f be 6 - (1 - (0 - 1)). Let k(r) = 6*r**2 - 8*r. Let t(w) = f*q(w) + 2*k(w). Factor t(h).
-4*h*(h - 2)**2
Let r(z) = -3*z**2 + 6. Let v(q) = -4*q**2 + q + 7. Let h(g) = 7*r(g) - 6*v(g). Let h(o) = 0. What is o?
0, 2
Let 0 + 3*f**3 - 4*f - 14*f**2 + 19/2*f**4 - 7/2*f**5 = 0. Calculate f.
-1, -2/7, 0, 2
Let g be 2 + 0 + 25 + -1. Suppose -4*r + 3*t + 20 = 0, 3*r + 5*t + g = 6*r. Factor 6/11*f**r + 8/11*f**3 + 0 - 2/11*f.
2*f*(f + 1)*(4*f - 1)/11
Suppose 5*a = 5 + 5. Factor 6*v**2 - 3*v**2 - 8*v + a*v.
3*v*(v - 2)
Let o = 6462 + -64563/10. Let i = -9/2 + o. Solve -3/5 - i*q - 3/5*q**2 = 0.
-1
Let t(o) be the second derivative of 0*o**3 - 2*o + 0 + 1/50*o**5 + 0*o**4 + 0*o**2 - 1/75*o**6. Factor t(y).
-2*y**3*(y - 1)/5
Let i(p) be the first derivative of 6 - 1/11*p**2 + 1/22*p**4 + 0*p + 0*p**3. Solve i(q) = 0.
-1, 0, 1
Let q(r) = r**3 + 8*r**2 + 8*r + 8. Let b be q(-7). Let d = 1 + b. Let 2*u**3 + 4 - 4*u**2 - 4 + d*u = 0. Calculate u.
0, 1
Let v(s) be the first derivative of s**7/735 - s**5/140 + s**4/84 - s**3/3 - 2. Let x(i) be the third derivative of v(i). Factor x(d).
2*(d + 1)*(2*d - 1)**2/7
Let p be (-2 - 0)/2 - 9/(-7). Let -p + 2/7*w**2 + 0*w = 0. What is w?
-1, 1
Let f(p) be the first derivative of 1 - p**2 + 2/5*p**5 + 0*p + 1/2*p**4 - 2/3*p**3. Factor f(i).
2*i*(i - 1)*(i + 1)**2
Let k(y) be the third derivative of 1/840*y**7 + 0*y**4 + 0*y - 3*y**2 + 0*y**3 + 0 - 1/160*y**6 + 1/120*y**5. Factor k(q).
q**2*(q - 2)*(q - 1)/4
Suppose -2*c + 2*z = -10, 3*c - 55 = -0*c - 5*z. Factor 6*d**2 + 3*d**4 - c*d + 6*d**3 - d**4 + 12*d.
2*d*(d + 1)**3
Let i(z) be the first derivative of z**4/10 - 2*z**3/15 - 4*z**2/5 + 8*z/5 - 50. Let i(m) = 0. What is m?
-2, 1, 2
Let t(o) be the first derivative of -o**7/35 + o**6/60 + o**5/10 - o**4/12 + 2*o**2 + 1. Let c(u) be the second derivative of t(u). Factor c(j).
-2*j*(j - 1)*(j + 1)*(3*j - 1)
Let w(o) be the second derivative of 4*o + 0 + 1/12*o**4 + 0*o**2 + 0*o**3 + 1/40*o**5. Factor w(l).
l**2*(l + 2)/2
Suppose 4*u - 3*u = 0. Let m be (-6)/(-3) - (1 + -1). Factor 2*p**3 + u*p**m + 2*p**2 - 4*p**2.
2*p**2*(p - 1)
Let h(l) = -l**2 + 19*l - 15. Let q(s) = 4*s**2 - 56*s + 44. Let p(w) = -8*h(w) - 3*q(w). Factor p(v).
-4*(v - 3)*(v - 1)
Let q(r) be the third derivative of -r**5/150 + r**4/20 - 18*r**2. Determine h so that q(h) = 0.
0, 3
Let i(y) = y**2 - 6*y - 7. Let c be i(7). Determine b so that -b - 5*b**2 - 5/4*b**3 - 21/4*b**5 + 25/2*b**4 + c = 0.
-1/3, -2/7, 0, 1, 2
Let c be (12/(-10))/(3/(-10)). Solve 7*n**5 - c*n**5 - 2*n**5 = 0 for n.
0
Factor 6/5*c - 2/5 + 2/5*c**3 - 6/5*c**2.
2*(c - 1)**3/5
Let z(n) be the first derivative of 2*n**4/3 - 2*n**3/3 - 4*n**2/3 + 2*n + 5. Determine l, given that z(l) = 0.
-1, 3/4, 1
Solve -4*v**2 + 2*v**4 - 2*v**4 + 12*v - 12*v**3 + 0*v - 4*v**4 + 8 = 0.
-2, -1, 1
Suppose -3 - 4 = -g. Suppose -3*z = -9 + 3. Factor -g*a + a - z*a**3 + 2 + 2*a**2 + 4*a**2.
-2*(a - 1)**3
Suppose -t + 5 + 3 = 0. Let m = t - 4. Factor 3*o**4 - 2*o**5 + 2*o**4 - 6*o**4 - 2*o - o**4 + m*o**2 + 4*o**3 - 2.
-2*(o - 1)**2*(o + 1)**3
Let h(z) = 17*z**3 + 17*z**2 - 7*z + 7. Let i(a) = -9*a**3 - 9*a**2 + 4*a - 4. Let n(t) = -4*h(t) - 7*i(t). Factor n(c).
-5*c**2*(c + 1)
Let s(k) be the second derivative of -7*k**4/72 + 5*k**3/6 - 2*k**2/3 + 32*k. Factor s(i).
-(i - 4)*(7*i - 2)/6
Let z(n) be the second derivative of -3*n**4/16 - 7*n**3/24 + n**2/4 + 4*n. Factor z(x).
-(x + 1)*(9*x - 2)/4
Let m = -59 + 119/2. Factor -1/2*c**3 + 0*c - c**2 + 0 + c**4 + m*c**5.
c**2*(c - 1)*(c + 1)*(c + 2)/2
Let x(f) be the first derivative of -1/60*f**5 + 1/24*f**4 - 1/120*f**6 - 1 - 1/2*f**2 + 1/6*f**3 + 0*f. Let m(b) be the second derivative of x(b). Factor m(y).
-(y - 1)*(y + 1)**2
Factor 2*y**2 - 3*y**2 - 3*y**2 - y.
-y*(4*y + 1)
Suppose 44 = 2*g - 0*g. Let v be g/12 + 3/(-2). Factor 1/3*o**2 + 0 + v*o.
o*(o + 1)/3
Let p(h) be the first derivative of h**7/2100 - h**6/900 - h**5/150 - h**3 + 10. Let u(n) be the third derivative of p(n). Find s such that u(s) = 0.
-1, 0, 2
Let l(h) be the third derivative of h**6/60 - h**5/5 + h**4 - 8*h**3/3 + 10*h**2. Factor l(m).
2*(m - 2)**3
Suppose -2*y = k - 1, 0 = 2*k - 4*k + 5*y + 2. Suppose -5*n + 16 = -3*g, 5*g - 2*n + k = 2*g. Suppose 3*d + 3*d**g + 3*d - 6*d**2 - 2 - d**3 = 0. What is d?
1
Let d be 872/(-20) - 4/2. Let k = 46 + d. Determine q so that 0*q + k*q**2 + 0 + 2/5*q**3 = 0.
-1, 0
Factor -3/2*i**2 + 7/2*i - 1.
-(i - 2)*(3*i - 1)/2
Let g be 29/84 + (-62)/(-744). Let -2/7 + g*u**2 + 1/7*u = 0. Calculate u.
-1, 2/3
Let x be (-285)/(-55) - (6 - 1). Factor x*q - 2/11*q**2 + 0.
-2*q*(q - 1)/11
Let p(h) be the first derivative of -12/25*h**5 - 2/15*h**3 + 2 - 9/20*h**4 - 1/6*h**6 + 0*h**2 + 0*h. Factor p(t).
-t**2*(t + 1)**2*(5*t + 2)/5
Let k(h) be the first derivative of -h**5/20 - h**4/6 + h**3/6 + h**2 - 2*h - 6. Let c(i) be the first derivative of k(i). Factor c(t).
-(t - 1)*(t + 1)*(t + 2)
Let v be -5 + (5 - (-32)/28). Determine u, given that 2/7*u + 0 + v*u**3 + 10/7*u**2 = 0.
-1, -1/4, 0
Let j be (-10 + 1)*(-1 + -1). Factor 1 + 6*k**3 - j*k**4 + 4*k**2 - 1 + 8*k**3.
-2*k**2*(k - 1)*(9*k + 2)
Suppose 5*o + r - 20 = -0*r, -5*r + 19 = -2*o. Solve 2*t**2 - 12*t - 8*t**2 + 8*t - 2*t**o = 0 for t.
-2, -1, 0
Suppose -3*d + r - 1 = -4*d, -17 = -5*d + r. Suppose -q + o + 1 = 0, q - 2*q + d*o = -3. Solve -1/3*t - 1/3*t**3 + q - 2/3*t**2 = 0 for t.
-1, 0
Let l = -167 - -169. Factor -2/7*w**l - 2/7*w**5 + 2/7*w**3 + 2/7*w**4 + 0 + 0*w.
-2*w**2*(w - 1)**2*(w + 1)/7
Let w(v) = 2*v**2 + 10*v + 8. Let y be w(-6). Solve -16*h**4 - 8*h**2 - 12*h + 8*h + y*h**3 + 4*h**5 + 4*h = 0.
0, 1, 2
Let n be -3 + (49/(-28))/((-1)/3). Let h(m) be the first derivative of -3/5*m**5 + n*m**4 + 3/2*m**2 - 2 - 3*m**3 + 0*m. Let h(j) = 0. Calculate j.
0, 1
What is g in 5*g**5 - 1 - g - g**5 - g**4 + 2*g**2 + 2*g**3 - 5*g**5 = 0?
-1, 1
Let c(p) = -p + 4. Let b be c(8). Let g be (-9)/(-10) - b/(-10). Solve 0*a + 0 + 1/2*a**3 + g*a**2 = 0.
-1, 0
Suppose -30*l**2 - 242 - 10*l**3 + 23*l**3 - 150*l - 15*l**3 - 8 = 0. What is l?
-5
Let k = -833/3 - -280. Factor k*h**2 + 2/3 + 3*h.
(h + 1)*(7*h + 2)/3
Let z(s) = -2*s. Let u be (36/(-45))/(2/5). Let o be z(u). Factor 0*j**2 + 0*j**o + 0 - 1/2*j**5 - 1/2*j + j**3.
-j*(j - 1)**2*(j + 