-8*y + n. Factor y - 5 + 28*a**2 - 2*a - 26*a**2.
2*a*(a - 1)
Suppose 26*h - 39 = 39. Suppose 2/7 + 12/7*a**4 - 18/7*a + 6*a**2 - 38/7*a**h = 0. Calculate a.
1/6, 1
Suppose -6*x + 36 + 0 = 0. Suppose k - 12 = -x*f + f, k - 8 = -3*f. Factor 8/11*l**k + 8/11*l + 0 + 2/11*l**3.
2*l*(l + 2)**2/11
Let y = -95 + 102. Let d be 7*7/49 - 4/y. Solve -3/7*l**2 + 0*l + d = 0 for l.
-1, 1
Factor -6*y**4 - 9*y**4 - 398 + 398 - 18*y**3 + 8*y + 24*y**2 + y**4.
-2*y*(y - 1)*(y + 2)*(7*y + 2)
Let h(g) be the third derivative of g**5/60 + g**4/2 + 10*g**3/3 + 2*g**2 + 4. Factor h(a).
(a + 2)*(a + 10)
Let m(p) be the third derivative of -p**5/30 + p**4/2 + 16*p**3/3 - 150*p**2. Find d such that m(d) = 0.
-2, 8
Let q be -3 - (-2*4)/4 - -3. Suppose -q*l - 20 = -4*a + 2*l, -5*l = 15. What is j in 0*j - 3/4*j**3 + 1/4*j**4 + 0 + 0*j**a = 0?
0, 3
Let a = 334 + -334. Let y(t) be the second derivative of 0*t**2 + a - 11*t - 2/25*t**6 - 4/15*t**3 - 1/105*t**7 - 2/5*t**4 - 13/50*t**5. Solve y(h) = 0 for h.
-2, -1, 0
Suppose -21*b - 80*b = -303. Factor -2/3*r + 2/3*r**b - 2/3*r**2 + 2/3.
2*(r - 1)**2*(r + 1)/3
Let c(p) be the second derivative of p**4/2 + 3*p**3/2 - 18*p + 1. What is a in c(a) = 0?
-3/2, 0
Let u(c) = 9*c**2 - 6*c + 7. Let g be u(3). Let i be ((-60)/25)/(g/(-275)). Suppose -18/7*x**5 + 0 - 30/7*x**2 - 4/7*x - i*x**3 - 58/7*x**4 = 0. What is x?
-1, -2/9, 0
Let 0 - 2/5*c**3 - 12/5*c - 14/5*c**2 = 0. What is c?
-6, -1, 0
Let l(f) = -f**3 - 8*f**2 - 4*f + 6. Let s be l(-6). Let d = -39 - s. Solve -9/2*c + 3 + 3/2*c**d + 0*c**2 = 0 for c.
-2, 1
Let j(c) be the first derivative of 5*c**3/3 + 5*c**2 + 5*c + 12. Factor j(l).
5*(l + 1)**2
Let r(h) be the first derivative of h**4 + 12*h**3 - 104*h**2 + 232. Factor r(o).
4*o*(o - 4)*(o + 13)
Suppose 4 - 35 = 2*m - 5*p, -5*m + 7*p - 39 = 0. Factor 4/3*l**3 - 8/3*l + 0 - 4/3*l**m.
4*l*(l - 2)*(l + 1)/3
Let m(w) = -2*w**4 + 12*w**2 + 8*w. Let h = -4 + 3. Let v(n) be the third derivative of -n**7/210 - 50*n**2 + 2*n. Let u(c) = h*m(c) - 2*v(c). Solve u(r) = 0.
-1, 0, 2
Suppose -6*d - 2 = -5*d. Let w be (-1)/(4*d) + (-39)/(-8). Suppose 19/5*t**3 - 7/5*t**w - 12/5*t + 9/5*t**4 + 4/5 - 13/5*t**2 = 0. What is t?
-1, 2/7, 1, 2
Let t(k) = 4*k**3 - 221*k**2 + 436*k - 219. Let s(b) = 8*b**3 - 441*b**2 + 872*b - 439. Let q(o) = 3*s(o) - 7*t(o). Factor q(d).
-4*(d - 54)*(d - 1)**2
Let x(p) = p**2 + 25*p + 116. Let f be x(-19). Let u(h) be the first derivative of 5 - 1/3*h**3 + h + 0*h**f. Factor u(c).
-(c - 1)*(c + 1)
Factor 6/11*q**4 + 0*q - 8/11*q**2 + 0 + 0*q**3 - 2/11*q**5.
-2*q**2*(q - 2)**2*(q + 1)/11
What is x in 12/5 + 4/3*x**2 + 18/5*x + 2/15*x**3 = 0?
-6, -3, -1
Let m(t) be the second derivative of 0 + 0*t**2 - 11*t + 5/4*t**4 - 10/3*t**3 + 1/4*t**5. Factor m(p).
5*p*(p - 1)*(p + 4)
Let l(z) = -z**2 - 15*z + 19. Suppose -2*i - 7 = 25. Let s be l(i). Factor 6*n**2 - 3*n**s - 611 + 611.
-3*n**2*(n - 2)
Let v be (14/3)/((-1)/(-3)). Suppose -3*h = z + 8, -h - 20 = -5*z + z. Factor v*d**2 - z*d**4 - 6*d**2 - d**3 - 3*d**3.
-4*d**2*(d - 1)*(d + 2)
Let s = -128 - -494. Factor 7*c**2 + 651 - 2*c**2 - s + 435 + 120*c.
5*(c + 12)**2
Suppose 4*t - 36 = -0*v + 2*v, 0 = 2*t + 5*v - 30. Suppose 0 = -5*q + 2*q + 15. Find a, given that 0*a**5 + 3*a**q - a**5 + 5*a**3 + t*a**4 + 3*a**5 = 0.
-1, 0
Let t be 6/(-21) - (153/(-21) + 2). Suppose t*a - 20 = -5*n - 0*a, 18 = 4*n + 5*a. Let 2*r - 4/3 + 0*r**n - 2/3*r**3 = 0. Calculate r.
-2, 1
Suppose -4*o = -3*v - 15, -6*v + 5*v = -5*o + 27. Let z be o/8*(-22)/(-33). Factor -z + 1/2*n + n**2.
(n + 1)*(2*n - 1)/2
Suppose -r = -108 + 55. Let v = -51 + r. Let -1/5*p**3 - 3/5*p**v + 0*p + 0 = 0. What is p?
-3, 0
Let l(q) be the third derivative of q**8/336 - q**7/70 + q**6/40 - q**5/60 + q**2. Let l(x) = 0. What is x?
0, 1
Let m(d) be the first derivative of -d**5/20 - d**4/8 + 4*d**3/3 + d**2/4 - 15*d/4 + 345. Solve m(r) = 0.
-5, -1, 1, 3
Let y(t) = 21*t**2 - 9*t - 21. Let p(i) = -i**3 - 16*i**2 + 15*i - 43. Let x be p(-17). Let h(m) = 5*m**2 - 2*m - 5. Let z(g) = x*h(g) + 2*y(g). Factor z(k).
-3*(k - 1)*(k + 1)
Let k(v) be the third derivative of -v**5/20 - 5*v**4/8 - 3*v**3 - 119*v**2. Factor k(o).
-3*(o + 2)*(o + 3)
Let v(a) be the third derivative of -2*a**7/175 - 13*a**6/300 - a**5/75 - 96*a**2. Factor v(s).
-2*s**2*(s + 2)*(6*s + 1)/5
Let x = 4 + 20. Let -x*t - 58*t**4 + 26*t**4 + 36*t**4 - 4*t**2 + 24*t**3 = 0. What is t?
-6, -1, 0, 1
Let k be 2/3 + 660/144 + -5. Let u(m) be the second derivative of 0 + 0*m**5 - 8*m + 0*m**2 - k*m**4 + 1/10*m**6 + 0*m**3. Factor u(a).
3*a**2*(a - 1)*(a + 1)
Suppose 465 = 3*u - 0*u. Let j = 1087/7 - u. Factor j*i**2 - 6/7*i + 4/7.
2*(i - 2)*(i - 1)/7
Let w = -6 - 8. Let q(g) = 34*g**2 - 36*g - 70. Let z(r) = -7*r**2 + 7*r + 14. Let l(i) = w*z(i) - 3*q(i). Factor l(n).
-2*(n + 1)*(2*n - 7)
Let k(x) be the first derivative of -4*x**5/5 - 7*x**4 - 64*x**3/3 - 24*x**2 + 28. Factor k(t).
-4*t*(t + 2)**2*(t + 3)
Let h(q) be the first derivative of 22 - 4*q**3 + 7/2*q**4 + 0*q + 0*q**2 - 2/5*q**5. Factor h(u).
-2*u**2*(u - 6)*(u - 1)
Factor -2/5*w**4 + 0 + 0*w + 0*w**3 + 2/5*w**2.
-2*w**2*(w - 1)*(w + 1)/5
Find b such that -8*b**4 - 6*b**3 - 8*b**4 - 8*b**4 - 5*b**2 + 20*b**2 + 6*b + 9*b**4 = 0.
-1, -2/5, 0, 1
Let g(d) be the first derivative of -4*d - 1/16*d**4 - d**2 + 7/12*d**3 + 4. Factor g(p).
-(p - 4)**2*(p + 1)/4
Let f = 279 - 275. Let l(t) be the first derivative of -4 - 9/2*t**2 - f*t**3 - 5/4*t**4 - 2*t. Solve l(m) = 0 for m.
-1, -2/5
Let v(p) = -21*p**3 - 60*p**2 - 24*p + 9. Let i be 6/(-3) + 1 + 2. Let l(j) = j**2 + 1. Let m(b) = i*v(b) + 3*l(b). Suppose m(n) = 0. Calculate n.
-2, -1, 2/7
Let s(q) be the second derivative of q**8/224 - q**6/80 - 9*q**2/2 + 3*q. Let v(c) be the first derivative of s(c). Factor v(t).
3*t**3*(t - 1)*(t + 1)/2
Let j be (-13)/65 + (-132)/(-10). Suppose 0 = 5*g - 2*g - 4*c - j, 0 = 5*g + 2*c - 39. Suppose t**2 + 6*t**2 - g*t**2 + 3*t**2 = 0. What is t?
0
Let u(q) be the first derivative of 5*q**3/3 - 185*q**2/2 + 180*q - 100. Factor u(p).
5*(p - 36)*(p - 1)
Suppose 0 = 12*n - 62 + 26. Suppose 3*z = -n*c, 2*c + 2*z = z + 2. Factor -5/2*m**3 + 8*m**2 - 25/2*m**4 - c*m + 0.
-m*(m + 1)*(5*m - 2)**2/2
Factor -32*c - 5*c**2 + c**2 + 48 + 4233*c**3 - 4229*c**3.
4*(c - 2)**2*(c + 3)
Let p be (-3)/9*2*-3. Suppose -7 = -p*t - 7. Determine a so that 3/2*a**4 + 3*a**3 + 0*a + 3/2*a**2 + t = 0.
-1, 0
Let n(s) be the first derivative of -s**7/2520 + s**6/540 - s**5/360 - 5*s**3/3 - 3. Let w(g) be the third derivative of n(g). Determine h, given that w(h) = 0.
0, 1
Let v(j) = j**3 + 69*j**2 + 5*j + 347. Let d be v(-69). Factor 0 - 8/9*n + 4/9*n**d.
4*n*(n - 2)/9
Let o be (4/(210*32))/(2/4). Let l(k) be the third derivative of 0*k**3 - 1/240*k**5 + 0 + o*k**7 - 1/96*k**4 + 1/480*k**6 + 5*k**2 + 0*k. Factor l(g).
g*(g - 1)*(g + 1)**2/4
Suppose -3*p + 44 = 44. Suppose 6*q - 7*q = p. Determine z, given that 0 + 1/3*z**2 - 1/3*z**3 + q*z = 0.
0, 1
Let d be 2/15 + ((-5344)/60)/8. Let t(j) = -2025*j**2 - 900*j - 100. Let u(v) = 405*v**2 + 180*v + 20. Let i(f) = d*u(f) - 2*t(f). What is p in i(p) = 0?
-2/9
Suppose 0 = -2*d - 40 + 52. Factor 2*h**2 - d*h + 34*h - 6*h**2.
-4*h*(h - 7)
Let f(v) = 13*v**2 - 12*v + 48. Let x be f(-21). Determine s, given that -s**2 + x - 6033 + 6*s = 0.
0, 6
Factor -7*h**2 - 32*h - 36 - 9673*h**4 - 33*h**2 - 4*h**5 - 43*h - 9*h + 9685*h**4 + 24*h**3.
-4*(h - 3)**2*(h + 1)**3
Suppose -4*t + 0*t + 4*u = 0, t + u = 8. Let b = 8 - t. Determine r, given that 5*r**3 - 2 + b*r**4 - 3*r**3 + 2 + 2*r**5 = 0.
-1, 0
Let q(b) = -8*b**2 + 19*b - 35. Let k(j) = -10*j**2 + 22*j - 36. Let a(t) = 5*k(t) - 6*q(t). Factor a(x).
-2*(x - 3)*(x + 5)
Let z(t) = 7*t - 38. Let f(s) = 2*s - 18. Let q be f(12). Let g be z(q). Solve -p**2 - p**3 + 0 - 1/3*p - 1/3*p**g = 0.
-1, 0
Suppose -40*f = -82*f + 126. Let w(j) be the first derivative of -3 + 2/27*j**f + 0*j + 1/9*j**2. What is q in w(q) = 0?
-1, 0
What is a in -4/3*a**3 - 16/3*a**2 - 256/3 + 2/9*a**4 + 448/9*a = 0?
-6, 4
Let m = 925 - 917. Let t(r) be the second derivative of -1/4*r**4 + 0 - 3/2*r**3 + m*r - 3*r**2. Solve t(n) = 0 for n.
-2, -1
Let r(c) be the second derivative of 0 - 9/7*c**2 + 20*c + 1/28*c**4 + 5/14*c**3. Factor r(f).
3*(f - 1)*(f + 6)/7
Let f(p) be the third derivativ