 28*g**2. Determine w, given that z(w) = 0.
-1, 0, 2
Let g(q) be the first derivative of 64827*q**4/2 + 19257*q**3/2 - 429*q**2 + 6*q + 560. Find o, given that g(o) = 0.
-1/4, 2/147
Solve -7/2*j + 1/2*j**3 + 5 - 2*j**2 = 0 for j.
-2, 1, 5
Let i be ((-4)/(-12))/((-2)/(-6)). Suppose 4*d - 36 = 2*y, y = -4*d + 25 - i. Determine v, given that d*v + 5 - 3 - v**2 - 3*v**2 = 0.
-1/4, 2
Let t(p) be the second derivative of p**4/6 - 193*p**3/3 + 2*p - 195. Find o, given that t(o) = 0.
0, 193
Let q = 9641 + -38563/4. Factor -9/4*a**2 + 1/4*a**3 + 11/4*a + q*a**4 - 1.
(a - 1)**3*(a + 4)/4
Let a(n) be the second derivative of -n**6/288 + 5*n**5/96 + 5*n**4/16 - 11*n**3/2 - 39*n. Let x(d) be the second derivative of a(d). Factor x(j).
-5*(j - 6)*(j + 1)/4
Let f(h) be the first derivative of -2*h**5/55 - 2*h**4/11 - 2*h**3/33 + 6*h**2/11 + 39. Suppose f(s) = 0. What is s?
-3, -2, 0, 1
Let g = -852 + 854. Let n(d) be the third derivative of 8/21*d**3 + 7*d**g + 0*d**4 - 1/105*d**5 + 0 + 0*d. Factor n(w).
-4*(w - 2)*(w + 2)/7
Suppose 5*c = 2*f - 38, 2*f - 2*c = -6*c + 38. Let d = -12 + 17. Factor -34*r**2 + d*r - 30*r**3 + f*r - 18*r**2 + 16.
-2*(r + 2)*(3*r - 2)*(5*r + 2)
Let g be 49/35*65/(-4). Let a = g - -23. Factor 0 + 0*v + 0*v**2 - a*v**4 - 1/4*v**3.
-v**3*(v + 1)/4
Let h(q) be the first derivative of -6*q + 3/10*q**5 + 3/4*q**4 + 37 - 3/2*q**3 - 6*q**2. Find c, given that h(c) = 0.
-2, -1, 2
Let z = 30 - 28. Let x be (z/(-63)*-6)/(6/7). Factor 2/9*v**3 - x*v**2 + 0 + 0*v.
2*v**2*(v - 1)/9
Suppose 3*s - 3 = 2*s. Solve 0*t**4 + 13*t - 6*t**2 + 6*t**4 - 10*t - s*t**5 = 0 for t.
-1, 0, 1
Let u be 1/(((-1)/(-18))/(6/4)). Suppose u = 4*n + 5*n. Suppose 0*y**2 + 0*y + 2/9*y**n + 4/9*y**4 + 0 + 2/9*y**5 = 0. What is y?
-1, 0
Let m(x) = -x**3 - 9*x**2 - 6*x + 19. Let j be m(-8). Determine k, given that 4*k**2 + 0*k**4 - 2 - 55*k**j - k**5 - 2*k**4 - k + 57*k**3 = 0.
-2, -1, 1
Suppose 94178 - 2*x**2 - 820*x + 4*x**2 + 1688*x = 0. Calculate x.
-217
What is k in 44 - 7*k**2 + 40*k - 162 + 5*k**2 - 82 = 0?
10
What is o in -2/7*o + 2/7*o**2 - 4/7 = 0?
-1, 2
Suppose -1/2*d**3 + 0*d + 0 - 5*d**2 = 0. What is d?
-10, 0
Factor -34/9*t + 1/9*t**4 + 0 + 16/9*t**3 - 19/9*t**2.
t*(t - 2)*(t + 1)*(t + 17)/9
Let j be (-36)/18 + (1 - -5). Let -4*g**2 + 7*g + 2*g**5 - 2*g + j*g**4 - 13*g + 6*g = 0. What is g?
-1, 0, 1
Let n(r) be the first derivative of 5*r**4/4 + r**3/3 - r**2/2 - 5*r + 11. Let v(j) = j**3 + j**2 - j - 1. Let f(k) = -5*n(k) + 20*v(k). Factor f(c).
-5*(c - 1)**3
Suppose -7*l + 1/2*l**2 - 15/2 = 0. Calculate l.
-1, 15
Let u(j) = -5*j + 15. Let v be u(-5). Let r = v - 40. Factor 9/4*p + r - 3/4*p**2.
-3*p*(p - 3)/4
Let -2/3*d**4 + 22/9*d**2 - 2/3*d**3 + 2/9*d**5 + 0 - 4/3*d = 0. What is d?
-2, 0, 1, 3
Let n(f) be the second derivative of -25*f**2 - 42*f + 10/3*f**3 - 1/6*f**4 + 0. Factor n(g).
-2*(g - 5)**2
Let k(z) be the third derivative of z**6/90 + 2*z**5/45 + z**4/18 - 35*z**2. Factor k(t).
4*t*(t + 1)**2/3
Let q(p) = p**3 - 21*p**2 + 141*p + 3. Let k(f) = f**3 - 20*f**2 + 140*f + 4. Let l(y) = 3*k(y) - 4*q(y). Find t, given that l(t) = 0.
0, 12
Let m = 2525 - 12619/5. Let a = -37/70 - -13/14. Factor m*z**2 - 4/5*z + 0 - a*z**3.
-2*z*(z - 2)*(z - 1)/5
Suppose l = 4*p - 19, 5 = -p - 2*l + 3. Let j(b) be the first derivative of 8*b**2 - 16/3*b**3 + 1 + b**p + 0*b. Find k such that j(k) = 0.
0, 2
Let z(w) be the second derivative of -w**7/70 - w**6/25 + 81*w**5/100 - 13*w**4/5 + 14*w**3/5 + 140*w - 2. What is s in z(s) = 0?
-7, 0, 1, 2
Let d(t) be the third derivative of -t**8/168 + 2*t**7/21 - t**6/2 + 4*t**5/3 - 25*t**4/12 + 2*t**3 - 10*t**2. Factor d(a).
-2*(a - 6)*(a - 1)**4
Let v be (8 - 8) + 3447/(-12). Let z = -281 - v. Let -2 - 5/4*h**5 + z*h**3 - 5*h + 5/2*h**2 - 1/2*h**4 = 0. Calculate h.
-2, -1, -2/5, 1, 2
Let p = 27/4 - 6. Let g = 43643 + -43639. Suppose -3/4*w**3 + 3/4*w + 3/4*w**g - p*w**2 + 0 = 0. What is w?
-1, 0, 1
Factor 0 + 2/5*v**3 + 6/5*v + 8/5*v**2.
2*v*(v + 1)*(v + 3)/5
Let t = 31 + -31. Suppose 5*s + 0*s = 3*m + 13, 5*s - m - 11 = t. Factor 3/2*u - 3*u**s + 0 + 3/2*u**3.
3*u*(u - 1)**2/2
Let c = 63 + -60. Suppose 0 = c*l - n - 12, 0 = l + n - 0*n. Find j such that -20/3*j**4 + 28/3*j**2 - 8/3 - 4*j**l + 4*j = 0.
-1, 2/5, 1
Let s(m) be the second derivative of m**7/2100 - m**6/150 + 10*m**3/3 - 30*m. Let d(u) be the second derivative of s(u). Suppose d(j) = 0. What is j?
0, 6
Let z(a) be the first derivative of -41 - 12/5*a**5 - 4/3*a**3 + 0*a + 3*a**4 + 2/3*a**6 + 0*a**2. Find b such that z(b) = 0.
0, 1
Let b(t) be the first derivative of -t**5/100 - t**4/12 - 2*t**3/15 - 12*t + 15. Let y(f) be the first derivative of b(f). Solve y(w) = 0 for w.
-4, -1, 0
Let w = 305 - 305. Let r(p) be the third derivative of -2*p**2 + w*p + 0*p**4 + 0 - 1/90*p**5 + 1/9*p**3. Factor r(d).
-2*(d - 1)*(d + 1)/3
Let -2/23*d**2 + 22/23*d + 24/23 = 0. Calculate d.
-1, 12
Let o(r) be the third derivative of -r**5/90 - 5*r**4/12 + 16*r**3/9 + 168*r**2. Determine z so that o(z) = 0.
-16, 1
Let s be (4/32)/((77/132)/7). What is t in 5/3*t + s + 1/6*t**2 = 0?
-9, -1
Suppose 3*u = -38 - 4. Let z = 16 + u. Factor -4/7 + 2/7*j**z - 2/7*j.
2*(j - 2)*(j + 1)/7
Factor -12*o + 4*o**3 + 2*o**4 - 8*o**2 + 11*o - 11*o - 4*o.
2*o*(o - 2)*(o + 2)**2
Let k be ((-1)/4)/(5/(-40)). Let m(t) = t**4 + t**3 - t**2 + t. Let d(p) = -3*p**4 + p**3 + 7*p**2 - 11*p + 4. Let l(j) = k*d(j) + 2*m(j). Solve l(n) = 0 for n.
-2, 1
Let b(w) = w**3 - 4*w**2 + 5. Let h be b(4). Suppose -30*l - 15*l + 17*l**2 - 14*l**2 - h*l**3 + 27*l**2 = 0. Calculate l.
0, 3
Let a(p) be the third derivative of p**8/13440 - p**7/10080 - p**6/720 - 19*p**5/30 + 21*p**2. Let b(c) be the third derivative of a(c). Factor b(u).
(u - 1)*(3*u + 2)/2
Let q = 19085/28626 + -1/28626. Factor 14/3 + q*j**2 + 16/3*j.
2*(j + 1)*(j + 7)/3
Let p(t) be the first derivative of 0*t - 13/3*t**3 - 7/5*t**5 + 1/6*t**6 + 24 + 2*t**2 + 15/4*t**4. What is f in p(f) = 0?
0, 1, 4
Suppose -10*q + 24695 = 24655. Let 3*m**2 - 3/2*m**3 + 1/4*m**q + 0 - 2*m = 0. What is m?
0, 2
Let j(r) = r**3 - 3*r**2 - r - 1. Let q be j(5). Let h(x) = -2*x - 3. Let p be h(-2). Factor 42*u**3 + 0*u + 5 - p - q*u**2 - 2*u.
2*(u - 1)*(3*u - 1)*(7*u + 2)
Let y be ((-2)/3)/(9/(-27)). Suppose -5*v - 5*m = -30, -4*v + 5*m + 24 = -0*m. Solve -x**2 + 9*x**3 - x**2 - 15*x**4 - 3*x + v*x**5 + 5*x**y = 0 for x.
-1/2, 0, 1
Find f, given that 3/2*f**2 - 150*f + 3750 = 0.
50
Solve 0 + 7/9*k**2 + 20/9*k**3 + 11/9*k**4 - 2/9*k = 0 for k.
-1, 0, 2/11
Let w be (-3 + 4)/(-2 + 1)*42. Let t be (-2)/(90/(-631)) - w/(-189). Factor t*p**2 + 12*p + 21/5*p**3 + 12/5.
3*(p + 1)*(p + 2)*(7*p + 2)/5
Let i(k) = -2*k**2 + 9*k - 2. Let g be (-273)/(-63) + (-2)/6. Let a be i(g). Find y, given that 2/9*y**3 - 2/9*y + 0*y**a + 0 = 0.
-1, 0, 1
What is v in 3/2*v**5 + 0*v**4 - 3*v**2 + 0 - 9/2*v**3 + 0*v = 0?
-1, 0, 2
Factor -27*o**3 + o**2 + 4*o**2 + o**2 - 3*o + 24*o**3.
-3*o*(o - 1)**2
Let b(v) be the first derivative of v**4/2 + 8*v**3/3 - 11*v**2 + 12*v - 104. Find x, given that b(x) = 0.
-6, 1
Let u(t) = -t**4 - 45*t**3 + 115*t**2 - 15*t - 186. Let b(a) = -a**4 - 90*a**3 + 230*a**2 - 30*a - 371. Let x(p) = -6*b(p) + 11*u(p). Factor x(d).
-5*(d - 4)*(d - 3)**2*(d + 1)
Let i be (-390)/(-54)*(4/40)/(3/18). What is c in 4*c**2 + 2*c**4 + i*c**3 + 4/3*c + 0 + 1/3*c**5 = 0?
-2, -1, 0
Let v be (-8 - 1830/(-225))/((-8)/(-10)). Let z(a) be the first derivative of -11 - 1/12*a**6 + 0*a - 3/10*a**5 + 0*a**2 - v*a**3 - 3/8*a**4. Factor z(k).
-k**2*(k + 1)**3/2
Let h(v) be the first derivative of v**4 - 8*v**3/3 - 14*v**2 - 16*v - 150. Factor h(l).
4*(l - 4)*(l + 1)**2
Let k(c) be the first derivative of 4*c**5/45 - 10*c**4/9 + 44*c**3/9 - 88*c**2/9 + 80*c/9 - 153. Suppose k(d) = 0. What is d?
1, 2, 5
Suppose 6*o - o = 30. Let 4*z**2 + 89*z**4 + o*z**3 - 176*z**4 + 89*z**4 = 0. What is z?
-2, -1, 0
Let m = -32/43 - -514/2193. Let l = 14/17 - m. Factor 2/3*n**2 - l*n + 0 + 4/3*n**3 - 2/3*n**4.
-2*n*(n - 2)*(n - 1)*(n + 1)/3
Let i(j) be the first derivative of -4*j**5/45 - 49*j**4/9 - 380*j**3/27 - 94*j**2/9 - 695. Suppose i(d) = 0. Calculate d.
-47, -1, 0
Let c be (0 + 2)*(-171)/9. Let n = -189/5 - c. Solve -3/5*x**2 + 2/5*x + 0 - 1/5*x**3 - n*x**5 + 3/5*x**4 = 0 for x.
-1, 0, 1, 2
Let h(o) be the 