 = b*q(y) + i*m(y). Factor j(v).
(v + 1)**2
Factor 12 - 90*a - 3*a**2 - 85*a + 166*a.
-3*(a - 1)*(a + 4)
Let o(x) = -6*x**3 + 5*x**2 + 17*x + 17. Let k = 5 - 9. Let q(n) = 2*n**3 - 2*n**2 - 6*n - 6. Let c(m) = k*o(m) - 11*q(m). What is d in c(d) = 0?
-1, 1
Let h be 3*3/(43 - -2). Let k(z) = -z + 16. Let x be k(13). Suppose -1/5*d**x + 2/5 - 2/5*d**2 + h*d = 0. Calculate d.
-2, -1, 1
Suppose -3*g + 9 = -207. Let b = g - 358/5. Factor -b - 14/5*w**2 + 2*w + 6/5*w**3.
2*(w - 1)**2*(3*w - 1)/5
Let w(f) be the third derivative of -f**8/1848 + f**6/330 - f**4/132 + f**2. Suppose w(g) = 0. Calculate g.
-1, 0, 1
Let l be ((-23)/(-1))/(2 - 1). Let t = 23 - l. Factor 0*q**3 + t + q**4 - 1/2*q + 1/2*q**5 - q**2.
q*(q - 1)*(q + 1)**3/2
Let j(h) be the second derivative of -1/2*h**4 - 6*h + 0 - 6*h**3 + 12*h**2 - 3/5*h**6 + 33/20*h**5 + 1/14*h**7. Suppose j(g) = 0. Calculate g.
-1, 1, 2
Let b(d) be the second derivative of -d**7/84 + d**6/30 + 3*d**5/40 - d**4/6 - d**3/3 + 32*d. Let b(y) = 0. Calculate y.
-1, 0, 2
Let -4*n**4 + 21*n**5 - 6*n**2 - 6*n**2 - 25*n**5 + 20*n**3 = 0. Calculate n.
-3, 0, 1
Let c(v) be the first derivative of v**7/231 + v**6/165 + 2*v + 2. Let m(s) be the first derivative of c(s). Factor m(u).
2*u**4*(u + 1)/11
Let n(o) be the third derivative of 5*o**2 + 1/240*o**5 + 0 + 1/12*o**3 + 0*o + 1/32*o**4. Factor n(w).
(w + 1)*(w + 2)/4
Suppose 2*a = -2*b + 8, -2*b + 5 - 17 = -3*a. Let n(t) be the second derivative of 0 + b*t**3 + 1/40*t**5 + t - 1/24*t**4 + 0*t**2. Factor n(i).
i**2*(i - 1)/2
Let k(t) = -5*t**4 + 3*t**3 - 5*t**2 - 6*t + 4. Let b(y) = -y**4 - y**3 - y**2. Let g(q) = -3*b(q) + k(q). Factor g(o).
-2*(o - 2)*(o - 1)**2*(o + 1)
Suppose 4*r - 15 = 21. Let l(i) = -i**2 + 10*i - 7. Let w be l(r). Determine n, given that -2*n + w - 2*n**2 + 2*n = 0.
-1, 1
Let y(n) be the third derivative of -1/90*n**5 + 0*n - 1/315*n**7 + 3*n**2 + 0*n**3 - 1/90*n**6 + 0*n**4 + 0. Determine i, given that y(i) = 0.
-1, 0
Factor 1/8*c**5 + 1/8*c**4 - 5/8*c**2 - 3/8*c**3 - 1/4*c + 0.
c*(c - 2)*(c + 1)**3/8
Let i(s) be the third derivative of -1/240*s**6 + 1/120*s**5 + 0 + 0*s**3 + 1/24*s**4 - 7*s**2 + 0*s. Solve i(p) = 0.
-1, 0, 2
Let t(o) be the first derivative of o**3/3 - o**2 + 7. Solve t(f) = 0.
0, 2
Let f = -11 + 3. Let t be 3 + 4/f*-2. Determine u, given that 4/5*u**2 - 2/5*u**5 - 4/5*u**3 - 6/5*u**t + 2/5 + 6/5*u = 0.
-1, 1
Let r = -166 + 168. Let w(z) be the third derivative of 0*z**3 + 4*z**r - 1/105*z**7 + 0 + 1/168*z**8 - 1/60*z**6 + 0*z**4 + 0*z + 1/30*z**5. Factor w(p).
2*p**2*(p - 1)**2*(p + 1)
Let v(m) be the first derivative of m**8/168 + m**7/35 + m**6/60 - m**5/10 - m**4/6 + 7*m**2/2 + 7. Let a(u) be the second derivative of v(u). Solve a(n) = 0.
-2, -1, 0, 1
Let m(c) be the third derivative of -c**7/285 - c**6/38 - c**5/570 + 5*c**4/38 + 8*c**3/57 - 20*c**2. Solve m(z) = 0 for z.
-4, -1, -2/7, 1
Let w = 10 - 17. Let i = w + 11. Factor 0*k**2 - 2*k**i + 5*k**3 + 2*k**2 - 3*k**3 - 2*k**5.
-2*k**2*(k - 1)*(k + 1)**2
Let -1/5*o**3 + 1/5*o**4 + 8/5 - 6/5*o**2 + 4/5*o = 0. What is o?
-2, -1, 2
Let c(a) be the second derivative of a**6/30 - a**5/5 + 5*a. Let c(p) = 0. What is p?
0, 4
Let 3/2*k**2 + 9/2 - 6*k = 0. What is k?
1, 3
Let x be (-1)/1*(-3 - 0). Let r = x + -1. Factor -4*w**2 + w - 2*w + w**r + 2*w**2.
-w*(w + 1)
Let i(g) be the third derivative of g**7/3780 - g**6/1620 - g**5/270 - g**3/6 - g**2. Let x(a) be the first derivative of i(a). Factor x(m).
2*m*(m - 2)*(m + 1)/9
Let p be 32/(-24)*(-6)/28. Factor -p*c**2 - 8/7 + 8/7*c.
-2*(c - 2)**2/7
Let m(v) be the first derivative of -v**4 + 2 + 2/5*v**5 + 2*v + 1/3*v**6 - 4/3*v**3 + v**2. Solve m(p) = 0 for p.
-1, 1
Let a = -20 - -22. Let 0*s**3 + 7*s - 2*s**2 + 6*s**a - 2*s**3 - s = 0. Calculate s.
-1, 0, 3
Suppose -2*d - d = n + 3, 2 = 4*n - 2*d. Let g be 5/(140/16) - n. Factor -g*w**3 + 0 + 2/7*w**2 + 2/7*w**4 + 0*w.
2*w**2*(w - 1)**2/7
Let t = 10 - 6. Factor -10*r**t + 2*r**3 + r**2 + 0*r**2 + 11*r**4.
r**2*(r + 1)**2
Suppose -4*l + l + b = -18, -2*l + 13 = -b. Suppose -n - 2*n**l + 2*n + 2*n**3 - n = 0. What is n?
-1, 0, 1
Suppose 0 = -0*z - 2*z + 2. Let q = 29 - 29. Factor -1/2*b**3 + q*b**2 + z + 3/2*b.
-(b - 2)*(b + 1)**2/2
Let b = -4 - 1. Let s(l) = -l**2 - 6*l - 5. Let h be s(b). What is n in n**2 + 0 + h = 0?
0
Let s = 102/155 + -8/31. Suppose -1/5*p**2 + s*p - 1/5 = 0. What is p?
1
Let u(h) be the second derivative of -3/2*h**2 - 1/36*h**4 - 1/3*h**3 - 6*h + 0. Factor u(a).
-(a + 3)**2/3
Let x(o) = -585*o**4 + 725*o**3 - 272*o**2 + 29*o. Let v(u) = -1756*u**4 + 2176*u**3 - 816*u**2 + 88*u. Let w(z) = -3*v(z) + 8*x(z). Factor w(a).
4*a*(3*a - 2)*(7*a - 2)**2
Let y(p) be the first derivative of 5 + 0*p**2 - p + 3*p**4 + 13/3*p**3. Factor y(w).
(w + 1)*(3*w + 1)*(4*w - 1)
Let i(t) be the first derivative of 0*t**2 + 0*t**3 - 3/5*t**5 + 5 + 3/4*t**4 + 0*t. Factor i(l).
-3*l**3*(l - 1)
Let f(m) be the second derivative of m**5/10 - m**4/2 + m**3 - m**2 - 3*m. Factor f(t).
2*(t - 1)**3
Let l(i) be the first derivative of -i**6/15 + 4*i**5/25 - 4*i**3/15 + i**2/5 - 4. Factor l(x).
-2*x*(x - 1)**3*(x + 1)/5
Let k(c) be the first derivative of -3*c**5 + 9*c**4/4 + 2*c**3 + 4. Let k(d) = 0. Calculate d.
-2/5, 0, 1
Let y be (-31 + 3)/7*(-9)/12. Factor -3/2 - 9/2*j - y*j**2 + 3/2*j**5 + 3*j**3 + 9/2*j**4.
3*(j - 1)*(j + 1)**4/2
Let x = -20 - -25. Factor 2*t**2 - t**3 + 4*t**2 - x*t**2.
-t**2*(t - 1)
Let b(v) = -7*v**3 + 16*v**2 - 5*v + 2. Let g(s) = 6*s + 4*s**2 + 7*s**3 - 2 - 11*s**2 - 9*s**2. Suppose -x + 3 = -2. Let l(p) = x*b(p) + 6*g(p). Factor l(w).
(w - 1)**2*(7*w - 2)
Let d(i) be the first derivative of -4*i**3/3 - i**2 - 5. Find n, given that d(n) = 0.
-1/2, 0
Let u(f) = -1. Let m(x) = 2*x**2 + 5*x + 9. Let h(d) = m(d) + 6*u(d). Let q(g) = -g**2 - 2*g - 1. Let v(a) = -2*h(a) - 5*q(a). Find p such that v(p) = 0.
-1, 1
Let f be ((-2)/4)/((-11)/66). Let p be (2 - f/1)*-3. Factor 0 + j**2 + 1/3*j + 2/3*j**p.
j*(j + 1)*(2*j + 1)/3
Let y(z) = -z**2 + 8*z + 5. Let v be y(8). Suppose -v*h + 4 = -3*h. Find t, given that 2/5*t**3 + 2/5*t**h + 0*t + 0 = 0.
-1, 0
Let v(h) be the first derivative of -12*h**5/5 - 7*h**4 - 4*h**3 + 6*h**2 + 8*h - 25. Let v(u) = 0. What is u?
-1, 2/3
Suppose 5 = 5*u - 5*a, u - 11 = -3*a + 6. Let p be 2/(-5) + (-4)/(-10). Let -4/7*d**3 + 0 + 2/7*d + p*d**2 + 0*d**4 + 2/7*d**u = 0. What is d?
-1, 0, 1
Let q(i) be the first derivative of i**5/30 - i**4/18 - i**3/9 + i**2/3 - 8*i + 4. Let v(k) be the first derivative of q(k). Solve v(g) = 0 for g.
-1, 1
Let x = -5 - -7. Factor 3*c**4 - c**5 + c + c**4 + 2*c**2 - 4*c**x - 2*c**4.
-c*(c - 1)**3*(c + 1)
Let t = 36 - 32. Determine s, given that -1/5*s**t + 0*s + 0 - 1/5*s**3 + 0*s**2 = 0.
-1, 0
Let a(i) be the first derivative of 49*i**6/6 - 49*i**5/5 - 53*i**4/4 + 53*i**3/3 + 2*i**2 - 4*i - 23. Determine c, given that a(c) = 0.
-1, -2/7, 2/7, 1
Let i(z) = z**2 + 10*z + 3. Let r be i(-10). Let b be (-1)/(r - 44/8). Factor -b*y + 2/5*y**2 + 0.
2*y*(y - 1)/5
Let l(h) be the second derivative of -h**7/945 - h**6/270 - h**5/270 + h**2/2 - 3*h. Let z(n) be the first derivative of l(n). Factor z(u).
-2*u**2*(u + 1)**2/9
Let w(a) be the second derivative of -a**4/4 + 2*a**3 - 6*a**2 - 5*a. Determine i, given that w(i) = 0.
2
Determine f so that -2*f - 4/5 - 2/5*f**3 - 8/5*f**2 = 0.
-2, -1
Let m(i) = -4*i**3 + 10*i**2 + 4*i + 2. Let k(w) = -3*w**3 + 9*w**2 + 3*w + 1. Let j(o) = -6*k(o) + 5*m(o). Let j(p) = 0. Calculate p.
-2, -1, 1
Let x(h) be the first derivative of -1/5*h**5 - 1/2*h**2 + 1/3*h**3 + 0*h - 3 + 1/4*h**4. Determine q so that x(q) = 0.
-1, 0, 1
Determine b so that 28/11*b**2 + 6/11 + 2*b - 2/11*b**4 + 12/11*b**3 - 2/11*b**5 = 0.
-1, 3
Suppose 2*f - 20 = -2*f. Let -f + 3*j - j**2 - 4 - 8*j - j = 0. Calculate j.
-3
Let m be (225/330 - (-4)/(-22))*6. Solve -1/3*v**5 + 1/3*v + 0*v**m + 2/3*v**2 + 0 - 2/3*v**4 = 0 for v.
-1, 0, 1
Let f(y) be the third derivative of y**5/300 - y**4/40 + 10*y**2. Solve f(r) = 0.
0, 3
Suppose 0 = -5*v + 5*p + 80, 5*p + 3 + 23 = 2*v. Let n = v + -18. Factor 0*b**4 - 2/3*b**5 + 4/3*b**3 + 0*b**2 - 2/3*b + n.
-2*b*(b - 1)**2*(b + 1)**2/3
Suppose 3*f - 9 = -39. Let w = f - -13. Find z such that 0*z**w + 0 + 2/3*z**4 - 4/9*z**5 - 2/9*z**2 + 0*z = 0.
-1/2, 0, 1
Suppose -7 = -k - 4