 + 24*u**2 + 2*u. Let a(w) = 0. Calculate w.
2, 8
Let h(o) be the first derivative of -o**5/180 + o**4/72 - o**2/2 + 1. Let v(c) be the second derivative of h(c). Factor v(a).
-a*(a - 1)/3
Let i(h) = -3*h**3 - h**2 + h + 1. Suppose n + 4 = -3*n. Let w be i(n). Find a, given that -2*a**2 - a**4 - w*a**4 + 5*a**4 - 2*a**3 + 2*a = 0.
-1, 0, 1
Let p be (-1)/(9/(216/(-20))). Factor -2/5*a**4 + 8/5*a - 8/5 + p*a**2 - 4/5*a**3.
-2*(a - 1)**2*(a + 2)**2/5
Let i be ((-2)/10)/(2/12*-3). Determine y, given that i*y**4 - 2/5*y**3 + 2/5*y**5 + 0*y - 2/5*y**2 + 0 = 0.
-1, 0, 1
Let b(i) = 9*i**4 - 51*i**3 + 186*i**2 + 543*i + 300. Let q(z) = 7*z**4 - 52*z**3 + 185*z**2 + 542*z + 300. Let w(p) = 2*b(p) - 3*q(p). Factor w(t).
-3*(t - 10)**2*(t + 1)**2
Suppose -2*g + 8 = 0, -2*m - 5*g + 42 = -6. Let x be ((-4)/m)/((-6)/7). Determine u so that -1/3 - u - u**2 - x*u**3 = 0.
-1
Let n = -165/2 + 89. Factor -2*c - n*c**3 + 10*c**2 - 15*c**4 + 0 - 9/2*c**5.
-c*(c + 2)**2*(3*c - 1)**2/2
Suppose 5*a - 3*v - 22 - 8 = 0, a + 2*v + 7 = 0. Factor 2*n**3 - 2*n**5 - 2*n**2 + 0*n**a - 14*n**4 + 16*n**4.
-2*n**2*(n - 1)**2*(n + 1)
Let v(m) be the third derivative of 0*m**4 + 0 + 1/270*m**5 - m**2 + 0*m - 1/27*m**3. Determine f, given that v(f) = 0.
-1, 1
Let k be ((-5)/12)/(95/(-76)). Let 1/3*r**3 - k*r + 2/9 - 1/9*r**4 - 1/9*r**2 = 0. What is r?
-1, 1, 2
Let p(g) = -g - 1. Let l be p(-5). Let j(i) = 4*i**3 + 10*i**2 - 7. Let q(d) = -d**3 - 3*d**2 + 2. Let k(a) = l*j(a) + 14*q(a). Factor k(o).
2*o**2*(o - 1)
Let -8*g**3 - 58*g + 54*g + 4*g**3 + 8*g**2 = 0. What is g?
0, 1
Let s(g) be the second derivative of -1/30*g**4 + 6*g + 0*g**2 + 0 - 1/15*g**3. Factor s(z).
-2*z*(z + 1)/5
Let z(r) be the first derivative of -r**3/3 + 13*r**2 - 169*r - 31. Determine f so that z(f) = 0.
13
Suppose 2*t - 5*k - 20 = t, 4*t - 2*k = 8. Let l(v) be the second derivative of t*v**2 - 1/20*v**5 + 1/6*v**4 + 0 - 1/6*v**3 - 2*v. Factor l(a).
-a*(a - 1)**2
Let z(t) be the third derivative of -t**8/1092 - t**7/455 + t**6/156 + t**5/78 - t**4/52 - 2*t**3/39 - 5*t**2. Find y such that z(y) = 0.
-2, -1, -1/2, 1
Let d be 2/(-11) - (3 - (-591)/(-165)). Factor -2/5*p + 0 + d*p**2.
2*p*(p - 1)/5
Let x(g) be the third derivative of -g**7/210 - g**6/60 - g**5/60 + g**3/2 + 4*g**2. Let k(a) be the first derivative of x(a). Find h such that k(h) = 0.
-1, -1/2, 0
Suppose 367*m = 374*m. Factor -1/4*z**3 + m*z + 0 - 3/4*z**2.
-z**2*(z + 3)/4
Let w(o) = o**5 + 29*o**4 + 44*o**3 + 24*o**2 + 4*o + 4. Let f(n) = -n**5 + n**4 + n**3 + n**2 + n + 1. Let u(c) = -4*f(c) + w(c). Factor u(h).
5*h**2*(h + 1)*(h + 2)**2
Let 0 - 12/7*w - 48/7*w**2 - 15/7*w**4 - 51/7*w**3 = 0. Calculate w.
-2, -1, -2/5, 0
Let h(n) = n**4 - 9*n**3 - 3. Let z(f) = 4*f + 11. Let i be z(-4). Let r(s) = -3*s**4 + 19*s**3 + 5. Let b(d) = i*h(d) - 3*r(d). Factor b(c).
4*c**3*(c - 3)
Let y(l) be the first derivative of -5 + 2*l + 1/3*l**3 + 3/2*l**2. Determine r, given that y(r) = 0.
-2, -1
Let r(u) = 36*u**2 - 188*u + 35. Let y(w) = 36*w**2 - 188*w + 34. Let s(p) = 6*r(p) - 5*y(p). What is h in s(h) = 0?
2/9, 5
What is l in -2/3*l**2 + 8/9 - 2/9*l**3 + 0*l = 0?
-2, 1
Let m(u) be the first derivative of u**6/9 - 2*u**4/3 + 4*u**3/9 + u**2 - 4*u/3 + 22. Factor m(g).
2*(g - 1)**3*(g + 1)*(g + 2)/3
Let j(l) = -5*l**3 + 10*l**2 + 5*l + 2. Let x(f) = 9*f**2 + 4*f - 2*f**3 + 2 + f - 2*f**3. Suppose 4*b - 20 = -0*b. Let q(v) = b*j(v) - 6*x(v). Factor q(c).
-(c + 1)**2*(c + 2)
Let a(f) be the third derivative of -5*f**8/336 - 5*f**7/42 - f**6/4 + f**5/3 + 5*f**4/3 - 12*f**2. Suppose a(h) = 0. What is h?
-2, 0, 1
Let s(m) be the second derivative of -m**7/5040 - m**6/1440 + m**5/120 - m**4/6 - 3*m. Let o(c) be the third derivative of s(c). Factor o(z).
-(z - 1)*(z + 2)/2
Let x = 57 + -169/3. Let c be 0 - -2 - 4/3. Suppose 0 - c*d + x*d**2 = 0. What is d?
0, 1
Suppose 22 = -9*m + 40. Suppose 0 + 2/7*j**m + 1/7*j**5 + 0*j - 2/7*j**4 - 1/7*j**3 = 0. What is j?
-1, 0, 1, 2
Let w be (6/4)/((-12)/(-88)). Let k = w + -7. What is y in -y**3 + 10*y**3 - 7*y**2 + y**5 + 2*y + 2*y**4 - 7*y**k = 0?
0, 1, 2
Let g(a) be the first derivative of -a**4/4 + 4*a - 3. Let u(r) be the first derivative of g(r). Factor u(s).
-3*s**2
Suppose 0 = -0*x + 2*x + h - 7, x - 8 = -5*h. Factor -7*f**2 + 0*f**3 - 8*f - 2 - 4*f**x - 3*f**2.
-2*(f + 1)**2*(2*f + 1)
Let p(v) be the second derivative of v**5/140 - v**4/84 - v**3/42 + v**2/14 - 14*v. Determine i, given that p(i) = 0.
-1, 1
Let q(w) be the second derivative of -w**9/15120 + w**8/3360 - w**7/2520 + w**4/3 + 2*w. Let n(t) be the third derivative of q(t). Suppose n(v) = 0. What is v?
0, 1
Let o be 8/14 + (-8)/14. Let v be 3/12 - 5/(-12). Solve 2/3*b**2 + o + v*b = 0.
-1, 0
Factor 6*k**2 + 4 + k**2 - k - 11*k + k**4 + 6*k**2 - 6*k**3.
(k - 2)**2*(k - 1)**2
Solve -3*d**3 + 47*d**4 - 49*d**4 + 2 + 4*d - d**3 = 0 for d.
-1, 1
Suppose -3*j + 5 = -10. Let s(t) be the third derivative of -1/84*t**4 + 0*t**3 + 0*t - 1/210*t**j + 0 + 2*t**2. Factor s(y).
-2*y*(y + 1)/7
Let -3*t**2 - 1 - 12*t - 16 + 8 = 0. What is t?
-3, -1
Let z = 21 + -21. Let l(g) be the third derivative of -1/90*g**5 - 1/504*g**8 + 0*g**3 + 0*g**4 - 2*g**2 + 1/180*g**6 + 0 + z*g + 1/315*g**7. Factor l(p).
-2*p**2*(p - 1)**2*(p + 1)/3
Let d(l) = -l**3 + l**2 - l - 1. Let c(q) = 94*q**3 + 126*q**2 - 150*q + 26. Let y(j) = c(j) - 6*d(j). What is w in y(w) = 0?
-2, 2/5
Let j(z) be the third derivative of -z**6/1200 - z**5/300 - 10*z**2. Find b such that j(b) = 0.
-2, 0
Let s = 2 + 3. Suppose 3*m + 2*m - 2 = 2*a, 0 = s*m + a + 1. Factor -2*j**3 - j**2 + m*j**2 - 3*j**2.
-2*j**2*(j + 2)
Suppose -2 + 6 = 5*g + 4*j, 4*g + 4*j = 4. Find a such that 2*a + g*a**2 + 4*a**2 - a**3 + a**2 - 4*a**2 = 0.
-1, 0, 2
Find p such that 16*p**4 + p**2 - 9*p**4 - 6*p**4 - 2*p**2 = 0.
-1, 0, 1
Let s = 55 + -36. Suppose 5*h - m = s, -2*m + 6 + 1 = 5*h. Factor t**3 - t**2 + t**4 - t**h + t - t**3.
t*(t - 1)**2*(t + 1)
Suppose 4*t - 5*t - 3*w = -1, w = 5*t - 21. Let o(x) be the second derivative of 1/10*x**6 - 2*x**3 + 3/2*x**2 - 3*x + 3/2*x**t - 3/5*x**5 + 0. Factor o(l).
3*(l - 1)**4
Let d(v) = -7*v**2 + 8*v + 9. Let u(j) = -8*j**2 + 9*j + 10. Let p(k) = 7*d(k) - 6*u(k). Factor p(w).
-(w - 3)*(w + 1)
Suppose 3*b - 7 = 5. Let i(d) be the first derivative of d**3 + 3/5*d**5 - 2*d + 7/4*d**b - 3/2*d**2 - 2. Factor i(r).
(r + 1)**3*(3*r - 2)
Let c(n) be the third derivative of -2*n**7/105 + n**6/10 - 2*n**5/15 + 22*n**2. Factor c(u).
-4*u**2*(u - 2)*(u - 1)
Suppose 0 = -62*s + 57*s. Factor s - 1/4*j**2 + 1/4*j.
-j*(j - 1)/4
Suppose -7*s + 14 = -0. What is q in 3/2*q**s + 0 - 3/2*q = 0?
0, 1
Let b(a) be the third derivative of -a**7/504 + a**6/540 - a**3/3 - 4*a**2. Let g(x) be the first derivative of b(x). Let g(t) = 0. What is t?
0, 2/5
Let z(n) be the third derivative of -1/180*n**5 + 0*n + 0*n**3 + n**2 - 1/36*n**4 + 0. Factor z(h).
-h*(h + 2)/3
Let x(h) be the first derivative of h**8/840 - h**6/100 + h**5/75 - h**2/2 + 2. Let n(s) be the second derivative of x(s). Factor n(f).
2*f**2*(f - 1)**2*(f + 2)/5
Let q(j) be the second derivative of -1/70*j**5 - j + 0*j**2 + 2/105*j**6 - 1/147*j**7 + 0 + 0*j**4 + 0*j**3. Find d such that q(d) = 0.
0, 1
Suppose 0*n - 1/2*n**2 + 0 + 1/2*n**3 = 0. Calculate n.
0, 1
Let w(v) = -4*v**2 + 8*v - 8. Let u(k) = k**3 + 3*k**2 - 9*k + 8. Let c(i) = -4*u(i) - 3*w(i). Factor c(y).
-4*(y - 1)**2*(y + 2)
Let c(n) be the first derivative of 1/1080*n**6 + 0*n**2 - 1/360*n**5 + 0*n**4 + 0*n - n**3 - 4. Let v(r) be the third derivative of c(r). Factor v(h).
h*(h - 1)/3
Factor -6/7*m + 0 - 27/7*m**2.
-3*m*(9*m + 2)/7
Let m(t) be the third derivative of -t**7/630 + t**6/120 + t**5/180 - t**4/24 + 2*t**2. What is v in m(v) = 0?
-1, 0, 1, 3
Suppose 0 = 5*q - 2*g + 5*g + 65, 0 = -3*q + 2*g - 58. Let y be ((-60)/q)/3*4. Determine z, given that 0 - 4/7*z**2 + 2/7*z + 0*z**3 - 2/7*z**y + 4/7*z**4 = 0.
-1, 0, 1
Let u(b) = b**3 - 10*b**2 + 8*b + 11. Let n be u(9). Factor -2/3*h + 1/3*h**n + 1/3.
(h - 1)**2/3
Let q be 6/27 - 280/(-36). Let -30*m**2 + 14*m - 5 + 26*m**3 + 3 + 0 + 0*m - q*m**4 = 0. What is m?
1/4, 1
Let h(m) be the second derivative of -1/150*m**5 + 0*m**3 + 0 - 2*m - m**2 + 0*m**4. Let p(x) be the first derivative of h(x). Factor p(r).
-2*r**2/5
Let t be 3 + 35 + (1 -