 + 9*z - 6. Let u(k) = -3*k + k**4 - k**3 + k**2 - k + 3*k + 1. Let y(c) = d(c) + 3*u(c). Factor y(o).
3*(o - 1)**3*(o + 1)
Let j(l) be the second derivative of 1/66*l**4 + 1/110*l**5 + 0 + 12*l - 1/165*l**6 + 0*l**2 - 1/231*l**7 + 0*l**3. Suppose j(a) = 0. Calculate a.
-1, 0, 1
Let c(n) be the third derivative of 3*n**8/2240 - n**7/1260 - n**4/12 + 9*n**2. Let o(v) be the second derivative of c(v). Factor o(i).
i**2*(9*i - 2)
Suppose 0 = 41*v - 95*v. Factor 2/5*i**5 + 2*i**2 - 4/5*i + v - 6/5*i**3 - 2/5*i**4.
2*i*(i - 1)**3*(i + 2)/5
Let u(f) be the first derivative of 11*f**6/40 + f**5 - f**4/2 + 2*f**2 - 14. Let j(l) be the second derivative of u(l). Find d, given that j(d) = 0.
-2, 0, 2/11
Determine w, given that -3/2*w**4 + 0 - 27/2*w**3 - 45/2*w**2 + 75/2*w = 0.
-5, 0, 1
Let b(w) = 1. Let q(i) = 135*i**3 + 180*i**2 + 75*i + 16. Let s be (8/6)/((-4)/18). Let x(v) = s*b(v) + q(v). Find k such that x(k) = 0.
-2/3, -1/3
Let b = 31 - 16. Factor -6*c**2 - b*c + 10 + 14*c**2 - 3*c**2.
5*(c - 2)*(c - 1)
Let 6*y**3 - 4/3*y + 0 - 14/3*y**2 = 0. Calculate y.
-2/9, 0, 1
Let t be -7*9/(-21) + (2 + -8 - -5). What is a in -4*a - 12/5*a**t - 8/5 + 4/5*a**4 + 4/5*a**3 = 0?
-1, 2
Let n(o) be the first derivative of -7 - 29/12*o**4 + 2/3*o**2 + 0*o - 4/5*o**5 - 8/9*o**3. Solve n(c) = 0.
-2, -2/3, 0, 1/4
Let s(p) be the first derivative of p**6/120 - p**5/20 + 7*p**3/3 - 14. Let y(w) be the third derivative of s(w). Factor y(i).
3*i*(i - 2)
Let j = -1 + -3. Let o be (2 - j)*(-2)/(-4). Factor -5*i**2 - o + 0*i**2 - 42*i - i**3 + 35*i.
-(i + 1)**2*(i + 3)
Let b be 6/8 - ((-70)/(-8))/5. Let p be b/(2/(-4)) - 0. Solve -2/7*x**5 + 4/7*x**4 - 4/7 - 16/7*x**p + 4/7*x**3 + 2*x = 0 for x.
-2, 1
Suppose -3*g + 19 = 10. Factor 2*s**4 - 19*s - 14 - 2*s - 11*s - 36*s**2 - 8*s - 8*s**g.
2*(s - 7)*(s + 1)**3
Let z(o) be the third derivative of -o**7/252 - o**6/144 - 205*o**2. Factor z(i).
-5*i**3*(i + 1)/6
Suppose 0*c - 36 = -4*c - 2*d, -4*c - 3*d = -32. Let p be -2 + 3 + -7 + c. Solve -4*u**2 - u + p*u**3 + 19*u - 16*u**2 + 2*u = 0 for u.
0, 2
Let d(u) = u**3 - 6*u**2 - 74*u - 9. Let i be d(-6). Let k(b) be the first derivative of 75/7*b + 8 + 1/7*b**i - 15/7*b**2. Let k(f) = 0. What is f?
5
Let o(a) = a**3 - 4 + 2 + 2*a + 2*a + 1 - 5*a**2. Let k be o(5). Factor -t**2 + 19 - k - 3*t**4 - 3*t**3 - t**5.
-t**2*(t + 1)**3
Factor -49/3*s + 1/2*s**2 + 32/3.
(s - 32)*(3*s - 2)/6
Suppose -4*i = -2*m - 20, -3*i + i - 2*m - 2 = 0. Suppose i*x - 2*n = 18, 0*n - n - 3 = 0. Factor 1/2*w**x - 1/2*w**3 - 1/2*w**2 + 1/2*w + 0.
w*(w - 1)**2*(w + 1)/2
Suppose 5*c = -4*v + 2, -c + 3 = 2*v - 1. Let t = v - 0. Find x such that 0 + 8/9*x**2 - 2/9*x**t - 2/3*x = 0.
0, 1, 3
Let v(c) be the first derivative of 2*c**5/15 + c**4/6 - 4*c**3/9 + 403. Determine a so that v(a) = 0.
-2, 0, 1
Let p(m) be the second derivative of 5*m**7/21 + 4*m**6/5 - m**5/10 - 2*m**4 - 4*m**3/3 + 15*m - 2. Suppose p(t) = 0. Calculate t.
-2, -1, -2/5, 0, 1
Let l be 4/3*(-30)/(-20). Let m(r) be the first derivative of -3*r**2 + 0*r**l + 2 + r**3 + 0*r**2 - 2*r**3. Let m(z) = 0. What is z?
-2, 0
Let t = -17 + 21. Suppose -20 = -j - t*j. Suppose 12*x**3 - j*x**4 - 36*x**3 + 16*x**3 + 4*x**5 = 0. Calculate x.
-1, 0, 2
Let i be 11 + -3 + 45/(-15). Factor -8*f**i - 11/2*f - 28*f**4 - 43/2*f**2 - 73/2*f**3 - 1/2.
-(f + 1)**3*(4*f + 1)**2/2
Find p, given that -1/3*p**5 + 0*p + 2/3*p**4 + 0 + 20/3*p**3 + 8*p**2 = 0.
-2, 0, 6
Let o(g) be the third derivative of -10/3*g**4 + 1/3*g**5 + 0*g + 0 + 1/336*g**8 - 1/21*g**7 - 32/3*g**3 + 32*g**2 + 5/24*g**6. Suppose o(c) = 0. What is c?
-1, 4
Let k = -52 - -36. Let p be (-8)/((-64)/(-12))*k/6. Factor 0*x + 2/9*x**2 + 2/3*x**p - 2/3*x**3 - 2/9*x**5 + 0.
-2*x**2*(x - 1)**3/9
Let h be (6/(-8))/(2/(-8)). Solve -2/11*b**4 - 8/11*b - 12/11*b**2 - 8/11*b**h - 2/11 = 0.
-1
Let q(c) be the first derivative of 3*c**4/20 + 7*c**3/5 + 6*c**2/5 - 36*c/5 - 219. Solve q(z) = 0 for z.
-6, -2, 1
Let r be ((-16)/14 + -15 + 16)/((-56)/840). Factor -39/7*q**3 + 3/7*q - 6/7 + r*q**4 + 27/7*q**2.
3*(q - 1)**3*(5*q + 2)/7
Factor -6*h + 65*h + 38*h - 13*h - 3*h**2.
-3*h*(h - 28)
Let m(t) be the third derivative of t**8/1680 + t**7/525 - t**6/600 - t**5/150 + 338*t**2. Find q such that m(q) = 0.
-2, -1, 0, 1
Suppose y + 2*y = 39. Let n = y - 10. Factor -p + 1 + 1 - 4 + p**n - 2*p.
(p - 2)*(p + 1)**2
Let j be ((-9)/12)/(12/(-18)). Let y(k) be the first derivative of 0*k - 3/10*k**5 - k**3 - 2 + j*k**4 + 0*k**2. Factor y(m).
-3*m**2*(m - 2)*(m - 1)/2
Let z(o) be the first derivative of 2*o**3/3 + 3*o**2/2 - 3*o + 2. Let b(i) = -17 + 0 + 16 + i. Let v(l) = 6*b(l) - 2*z(l). Find s such that v(s) = 0.
0
Let x(u) be the second derivative of -u**7/315 + u**6/1080 - 41*u**3/6 + 12*u. Let h(o) be the second derivative of x(o). Determine t so that h(t) = 0.
0, 1/8
Let w(d) be the first derivative of d**4/78 - d**2/13 + 3*d + 7. Let h(x) be the first derivative of w(x). Determine g, given that h(g) = 0.
-1, 1
Suppose 0*r - 3*r + 12 = 0. Let s be r*1 + (-9 - -9). Factor b**2 - 4*b**s + 5*b**2 - 4*b**2 + 2*b**4.
-2*b**2*(b - 1)*(b + 1)
Let d be -1*(-2)/(-7) - (-264)/952. Let c = d - -362/595. Find a, given that 6/5 + 9/5*a - 3/5*a**4 - c*a**2 - 9/5*a**3 = 0.
-2, -1, 1
Let g(n) be the first derivative of 70*n**3 + 200*n - 170*n**2 + 12 - 55/4*n**4 + n**5. Solve g(c) = 0 for c.
2, 5
Let u = 893 + -888. Determine g so that 0 - 2/3*g**2 + 2*g**3 + 2/3*g**u + 0*g - 2*g**4 = 0.
0, 1
Let h(s) = -36*s**3 + 2*s**2 - 1. Let c be h(1). Let u = -30 - c. Factor 2/9*b**u + 4/9*b**2 - 2/9*b - 4/9*b**4 + 0*b**3 + 0.
2*b*(b - 1)**3*(b + 1)/9
Let w be -1 - ((-12)/3 - 0). Suppose w*n - 2 - 4 = 0. Determine y so that 40*y**3 - 37*y**3 - n*y**5 + 4*y**2 - 2*y**4 - 4*y + y**5 = 0.
-2, 0, 1
Determine s so that 8712 - 22*s**3 - 7392*s - 1591*s**2 + 0*s**3 - 22*s**3 - 6*s**3 + 321*s**2 = 0.
-66/5, 1
Let j(w) be the first derivative of -5*w**6/2 + 21*w**5/5 + 9*w**4/4 - 7*w**3 + 3*w**2 + 504. Find i, given that j(i) = 0.
-1, 0, 2/5, 1
Suppose 0 = -r - 4 - 27. Let m = r + 34. Factor 15*w**3 - m*w**2 + 4*w**3 - 34*w**3.
-3*w**2*(5*w + 1)
Solve -2/9*g**2 + 22/9*g - 4 = 0 for g.
2, 9
Let s(q) be the second derivative of -q**5/40 - 2*q**4/3 + 17*q**3/12 - 14*q + 6. Determine x, given that s(x) = 0.
-17, 0, 1
Let m = 80 - 23. Let f = 85 + -83. Factor 57 + p**f - p**3 - m.
-p**2*(p - 1)
Suppose -15 - 8/7*f + 1/7*f**2 = 0. Calculate f.
-7, 15
Let a(u) = 6*u**4 + 9*u**3 - 6*u**2 + 3*u - 3. Let g(x) = 13*x**4 + 17*x**3 - 11*x**2 + 5*x - 5. Let o = 138 - 135. Let v(k) = o*g(k) - 5*a(k). Factor v(h).
3*h**2*(h + 1)*(3*h - 1)
Let m be (-3*(-3)/(-6))/((-828)/292). Let q = m - 2/69. Factor -q*f**2 - f**3 + 1/2 + f.
-(f - 1)*(f + 1)*(2*f + 1)/2
Suppose -g - 4*x + 11 = -x, -4*g + 17 = 3*x. Let h(w) be the second derivative of 1/27*w**3 + 0*w**g + 0 + 1/54*w**4 + 9*w. Determine s, given that h(s) = 0.
-1, 0
Let p(u) = u**2 - 4*u + 11. Suppose 0 = 4*k - 16, 7*k - 5 = 3*t + 2*k. Suppose 4*q - t = 3*q. Let d(j) = 1. Let s(b) = q*p(b) - 35*d(b). Solve s(i) = 0.
2
Let q = -39862/7 - -5695. Factor q + 3*d**2 - 9/7*d**3 - 15/7*d.
-3*(d - 1)**2*(3*d - 1)/7
Let h be 5/((-52)/(-8) - 4). Let n(t) be the first derivative of 3*t + 5 - 2*t**3 + 0*t**h + 3/5*t**5 + 0*t**4. Suppose n(x) = 0. What is x?
-1, 1
Suppose -t + 5*h = 8, 0 = 4*t - 2*h - 2 - 2. Determine u so that 40*u**3 - t*u**2 - 23*u**2 + 140*u**2 + 5*u**4 + 140*u + 60 = 0.
-3, -2, -1
Let i = 799/6 - 133. Let m(t) be the first derivative of -14/9*t**3 - 6*t + 5*t**2 + i*t**4 + 3. Factor m(n).
2*(n - 3)**2*(n - 1)/3
Factor 2/7*u**3 + 2/7 - 2/7*u - 2/7*u**2.
2*(u - 1)**2*(u + 1)/7
Let c be 9/2*((-710)/(-213) + (-4 - -1)). Factor -3/4 - 3/4*f**2 + c*f.
-3*(f - 1)**2/4
Let j(m) be the first derivative of -m**6/2340 + m**5/390 - m**4/156 + 5*m**3/3 - 11. Let l(o) be the third derivative of j(o). Solve l(p) = 0 for p.
1
Let h(p) = -6*p**3 + 3*p**2 - 18*p + 1. Suppose 4*f = -4*d + d - 17, 0 = d - 1. Let k(x) = x**3 - x**2 + x - 1. Let b(m) = f*h(m) - 35*k(m). Factor b(g).
-5*(g - 6)*(g + 1)**2
Let y = -94 + 172. Let w = y - 153/2. Factor 2 - w*t**3 + 2*t - 5/2*t**2.
-(t - 1)*(t + 2)*(3*t + 2)/2
Let p(u) be the first derivative of 0*u**2 + 2/25*u**5 - 7 + 1/15*u**6 - 2/15*u**3 - 1/10*u**4 + 0*u. Let p(n) = 0. What is n?
-1