*(7*g - 2)**2
Let s(v) be the third derivative of v**5/48 + 65*v**4/48 + 55*v**3/3 + 2*v**2 - 10*v. Factor s(b).
5*(b + 4)*(b + 22)/4
Let c(k) be the third derivative of -7/100*k**5 + 0 + 3/10*k**3 + 6*k**2 + 3/40*k**6 - 1/140*k**8 + 4/175*k**7 - 7/40*k**4 + 0*k. Find u, given that c(u) = 0.
-1, 1/2, 3
Let h be 17 - (-462)/(-44) - (4 - 0). Determine o so that 3 + 3/2*o**5 - 7*o**2 + h*o + 4*o**4 - 4*o**3 = 0.
-3, -1, -2/3, 1
Let j(y) be the second derivative of -y**4/6 - 161*y**3/3 - 2*y + 149. What is q in j(q) = 0?
-161, 0
Let o be (13 - 10) + -1*1. Suppose o*y - 20 = -3*w, 3*w - 3*y = w + 9. What is j in -w*j + 6*j**2 + 2 + 2*j**3 - 4*j**3 + 0*j**2 = 0?
1
Let p(o) be the first derivative of -o**4/6 + 8*o**3/27 + 13*o**2/9 + 4*o/3 - 742. Factor p(a).
-2*(a - 3)*(a + 1)*(3*a + 2)/9
Factor -13*y**3 + 3*y**4 + 42*y + 43*y**2 - 42*y**3 + 27*y**3.
y*(y - 7)*(y - 3)*(3*y + 2)
Suppose 2*a - 5 = 3. Suppose 0*t + a*t - 12 = 0. Let -8*n + 2 + 2*n + 3*n**2 + t*n**2 - 2*n**3 = 0. What is n?
1
Let g be (1 - (1 + -1))/((-10)/(-50)). Let h be ((-20)/(-35))/(g/(35/2)). Factor 6/5*b + 1/5*b**h + 9/5.
(b + 3)**2/5
Let x = -286/3 + 96. Let j(o) be the first derivative of 0*o**4 + 0*o + 4 - 2/5*o**5 + 0*o**2 + x*o**3. Solve j(l) = 0 for l.
-1, 0, 1
Suppose o - 200 = 9*o. Let a = 27 + o. Factor -1/3*t**3 + 1/3 - t + t**a.
-(t - 1)**3/3
Let l = -48 - -34. Let p = -12 - l. Solve -2 - h + 11*h - p*h**2 - 2*h**3 - 4 = 0 for h.
-3, 1
Factor 28*v**2 - 116 - 4*v - 9*v**3 - 5*v**2 + 13*v**3 + 93*v**2.
4*(v - 1)*(v + 1)*(v + 29)
Let q(r) be the second derivative of -r**7/21 - 13*r**6/15 - 7*r**5/2 + 49*r**4/6 - 2*r + 34. What is h in q(h) = 0?
-7, 0, 1
Let w(z) = -z**3 - 10*z**2 - 9*z + 4. Let q be w(-9). Factor 2*g + 5*g**q + 0*g**4 - 2*g**4 - 3*g**2 + g - 3*g**3.
3*g*(g - 1)**2*(g + 1)
Let a(j) = 9*j + 40. Suppose -4 = 3*y - 2*k, -4*y + 2*y - 4*k - 24 = 0. Let v be a(y). Suppose -2/5*g**2 - 2/5*g**v + 0*g - 4/5*g**3 + 0 = 0. Calculate g.
-1, 0
Let b(s) = -198*s**2 + 98*s + 28. Let x(u) = 80*u**2 - 39*u - 11. Let r(t) = -5*b(t) - 12*x(t). Solve r(h) = 0 for h.
-4/15, 1
Let n(f) be the first derivative of f**3/9 - 13*f**2/6 + 83. Factor n(q).
q*(q - 13)/3
Let f be 34/(-8) - (-4)/16. Let j(z) = -2*z**2 - 3. Let m(k) = k**2 + 8. Let x(y) = -4. Let o(h) = -3*m(h) - 5*x(h). Let q(l) = f*j(l) + 3*o(l). Solve q(p) = 0.
0
Let k be (-2)/(-8)*8/14. Let t(g) = g**2 - 7*g - 8. Let y be t(8). Factor y*u + k*u**2 + 0.
u**2/7
Let x(k) = -6*k**3 + 13*k**2 - 10*k - 1. Let q(g) = -24*g**3 + 52*g**2 - 41*g - 5. Let t(f) = -2*q(f) + 9*x(f). Factor t(r).
-(r - 1)**2*(6*r - 1)
Let l(d) be the first derivative of 675/11*d**2 + 5 - 30/11*d**3 + 1/22*d**4 - 6750/11*d. Solve l(b) = 0.
15
Let q be (39/26)/1 + (-3)/(-2). Determine n, given that 0 + 6/7*n + 4/7*n**2 - 2/7*n**q = 0.
-1, 0, 3
Let i(h) = -22*h**3 - 32*h**2 + 58*h - 12. Let s(y) = -21*y**3 - 32*y**2 + 59*y - 12. Let c(o) = -3*i(o) + 4*s(o). Factor c(t).
-2*(t - 1)*(t + 3)*(9*t - 2)
Let i(q) = -6*q + 18 - 22 + 4*q**2 - 7*q**2. Suppose -3*n + 7 = -2*n. Let d(f) = 6*f**2 + 12*f + 7. Let l(b) = n*i(b) + 4*d(b). Factor l(t).
3*t*(t + 2)
Suppose -4*a + 45 = 5*v, 0 = 4*v - 0*v + a - 36. Factor -v*h**3 - 79*h - 2*h**3 - 9*h**4 + 161*h + 16*h**2 - 78*h.
-h*(h - 1)*(h + 2)*(9*h + 2)
Let z(o) be the first derivative of o**6/24 + 19*o**5/20 + 49*o**4/8 + 31*o**3/6 - 99*o**2/8 - 81*o/4 - 536. Find n, given that z(n) = 0.
-9, -1, 1
Suppose -11*m + 12972 = 12950. Solve 1/6*f**m + 4/3*f + 2 = 0.
-6, -2
Let w(l) be the second derivative of -l**7/168 + l**6/20 - l**5/16 - l + 342. Let w(g) = 0. What is g?
0, 1, 5
Let z(j) be the third derivative of j**6/40 + 7*j**5/20 + 15*j**4/8 + 9*j**3/2 + 87*j**2. Factor z(b).
3*(b + 1)*(b + 3)**2
Let i = -17 - -15. Let v be i + 1 - ((-330)/54 - -4). What is r in 2/3*r**5 + 10/9*r**2 - 4/9*r - v*r**4 + 0 - 2/9*r**3 = 0?
-1, 0, 2/3, 1
Suppose -17 = 4*h - 53. Let n = 11 - h. What is o in -o**3 + 2 + n*o**3 + 0*o**2 + 6*o + 6*o**2 + o**3 = 0?
-1
Let t(h) be the second derivative of -3/4*h**3 + 10*h + 1/16*h**4 + 27/8*h**2 + 0. Factor t(m).
3*(m - 3)**2/4
Let v(b) = 5*b**2 + 34*b - 36. Let s(a) = 4*a**2 + 34*a - 36. Let r(x) = -6*s(x) + 4*v(x). Find i, given that r(i) = 0.
-18, 1
Let t(l) = -3*l - 1. Let m be t(-2). Suppose -m*r + 24 = r. Factor -6 - 3 - 3 - f**2 - r*f + 8.
-(f + 2)**2
Let s(m) = -4*m + 48. Let t be s(12). Let p(b) be the second derivative of t + 6*b - 256/3*b**3 - 1/15*b**6 - 16*b**4 - 8/5*b**5 - 256*b**2. Factor p(v).
-2*(v + 4)**4
Factor -38/9 - 40/9*t - 2/9*t**2.
-2*(t + 1)*(t + 19)/9
Find x, given that -13*x + 13*x + 6*x + 15 + 2*x + 2*x - 5*x**2 = 0.
-1, 3
Let q(i) be the third derivative of i**7/3150 + i**6/300 + 5*i**4/24 - 2*i**2. Let o(a) be the second derivative of q(a). Solve o(j) = 0.
-3, 0
Factor 1/9*n**4 + 13/9*n**3 + 16/3*n**2 + 0 + 4*n.
n*(n + 1)*(n + 6)**2/9
Factor -10/7*b**2 + 26/7*b - 12/7.
-2*(b - 2)*(5*b - 3)/7
Suppose 0 = 4*b, 102*x = 107*x + 5*b - 10. Determine p, given that -p**2 + 0 - 1/2*p**5 + 1/4*p**4 + x*p**3 + 0*p = 0.
-2, 0, 1/2, 2
Let y(u) be the third derivative of 1/1020*u**6 + 0 - 1/204*u**4 - 1/1785*u**7 + 1/510*u**5 - 16*u**2 + 0*u**3 + 0*u. Factor y(l).
-2*l*(l - 1)**2*(l + 1)/17
Factor 6/5*v**3 + 0*v - 9/5*v**2 + 3/5*v**4 + 0.
3*v**2*(v - 1)*(v + 3)/5
Let o(f) = f**2 - 13*f - 36. Let l be o(16). Suppose -328*c + 334*c = l. Suppose 9/7*b + 3/7*b**c + 6/7 = 0. Calculate b.
-2, -1
Suppose -8*k = -9*k - 30*k. Let i(m) be the third derivative of k + 1/240*m**6 + 0*m + 0*m**3 - 2*m**2 + 1/120*m**5 + 0*m**4. Determine h, given that i(h) = 0.
-1, 0
Let c be ((-4)/12 - 1)*(-9)/6. Solve 1 - 2*y**4 - c*y**2 + 0 + 4*y**3 - 1 = 0.
0, 1
Let a(b) be the third derivative of -1/80*b**5 + 0 + 1/8*b**3 - 34*b**2 - 1/480*b**6 + 1/96*b**4 + 0*b. Factor a(k).
-(k - 1)*(k + 1)*(k + 3)/4
Let g(s) be the first derivative of 0*s**2 - 1/2160*s**6 + 0*s**4 + 10 + 0*s - 1/360*s**5 - 4/3*s**3. Let f(y) be the third derivative of g(y). Factor f(d).
-d*(d + 2)/6
Let i = 282 - 439. Let w = i - -323/2. Factor -7*d**2 - 33/4*d + w - 5/4*d**3.
-(d + 3)**2*(5*d - 2)/4
Factor 2/5*p**3 - 288/5*p**2 + 13824/5*p - 221184/5.
2*(p - 48)**3/5
Let o be 16/28*(-987)/(-188). Suppose 0*k + 2/3*k**4 + 16/3*k**o + 12*k**2 - 18 = 0. What is k?
-3, 1
Let b(y) = 2*y**2 - y + 2. Let f(x) = -3*x**2 - 18*x - 6. Let i(a) = 3*b(a) + f(a). Factor i(h).
3*h*(h - 7)
Let s(x) be the third derivative of x**6/510 - x**5/102 - x**4/51 + x**3/17 + 248*x**2 + 2*x. Factor s(u).
2*(u - 3)*(u + 1)*(2*u - 1)/17
Suppose 0 = -5*o - 15, -79*z + 74*z = 5*o + 15. Factor 0*w**3 + z*w - 2/9*w**4 + 0*w**2 + 0 + 2/9*w**5.
2*w**4*(w - 1)/9
Let i(k) be the second derivative of -7/12*k**4 + 0 + 0*k**3 - 1/4*k**5 + 0*k**2 - 43*k. Solve i(b) = 0 for b.
-7/5, 0
Let c(k) be the third derivative of k**5/90 + 85*k**4/126 + 16*k**3/21 + k**2 - 55. Factor c(z).
2*(z + 24)*(7*z + 2)/21
Let l = -152 - -154. Let k(u) = 5*u**4 - 15*u**4 + 2 - 2*u**3 - 4 + 0. Let h(j) = j**4 + 1. Let i(q) = l*h(q) + k(q). Let i(t) = 0. What is t?
-1/4, 0
Factor 2/3*u - 1/3*u**2 + 0.
-u*(u - 2)/3
Factor 4/5*k**5 - 8/5*k**2 - 24/5*k**4 + 32/5 - 48/5*k + 44/5*k**3.
4*(k - 2)**3*(k - 1)*(k + 1)/5
Let k(b) be the first derivative of -b**3/18 - b**2/3 + 5*b/6 + 323. Factor k(g).
-(g - 1)*(g + 5)/6
Factor -143 + 662 - 12*r - 3*r**4 + 63*r**3 + 81 - 354*r**2 + 192*r.
-3*(r - 10)**2*(r - 2)*(r + 1)
Let f(p) be the third derivative of -8/3*p**3 + 0 + 0*p + 1/3*p**4 - 2*p**2 + 1/3*p**5 - 4/105*p**7 - 1/60*p**6 - 1/168*p**8. Find h, given that f(h) = 0.
-2, 1
Suppose -235 = -102*c + 173. Suppose 2/3*h**2 + 4/3*h**3 + 2/3*h**c + 0 + 0*h = 0. What is h?
-1, 0
Suppose 7*p - 11*p + 200 = 0. What is b in p*b + 16*b**3 - 50*b + 41*b**4 - 2*b**5 - 37*b**4 = 0?
-2, 0, 4
Let z = 61/37 - 231/185. Suppose 8/5 + 4/5*q**2 + 14/5*q - z*q**3 = 0. Calculate q.
-1, 4
Let h(p) be the third derivative of -p**8/4032 - p**7/336 - 7*p**5/12 + 32*p**2. Let k(o) be the third derivative of h(o). Find g, given that k(g) = 0.
-3, 0
Factor -36*n + 13*n**2 + 46*n**2 - 5*n**3 + 22*n**2 - 54*n**2.
-n*(n - 3)*(5*n - 12)
Let u be -4 - 180/27*-1 - 2. Find s such that 2/3*s**2 - 2/3 + 2/3*s**3 - u*s = 0.
-1, 1
Suppose 1023*w - 1017*w = 36. Let g(z) be the third derivative of -1/42*z**4 + 0*z + 0 - 1/84*z**6 + w*z**2