 n(u) = -u**2 - u + 3. Let h be n(0). Factor 3*y**2 - 3*y + y**h - 60 + 61 - 2*y**3.
-(y - 1)**3
Let k(r) = -6*r**2 - 266*r + 252. Let z(j) = 2*j**2 + 88*j - 84. Let v(d) = 3*k(d) + 10*z(d). Solve v(o) = 0.
-42, 1
Let t(m) = -5*m**3 - 16*m**2 - 64*m - 4. Let z(x) = x**3 + 1. Let a(o) = -t(o) - 4*z(o). Solve a(w) = 0 for w.
-8, 0
Suppose -18 = 4*j + 14. Let s(f) = 11*f**3 + 5*f**2 - 18*f - 17. Let a(z) = -17*z**3 - 8*z**2 + 27*z + 26. Let o(w) = j*s(w) - 5*a(w). Factor o(d).
-3*(d - 2)*(d + 1)**2
Let c(y) = -166*y - 327. Let w be c(-2). Let k(m) be the second derivative of -m - m**2 - 1/21*m**7 - m**w - 1/3*m**6 - 5/3*m**3 + 0 - 5/3*m**4. Factor k(t).
-2*(t + 1)**5
Let q(y) be the first derivative of -8/5*y**5 + y**4 + 8/3*y**3 - 3*y**2 + 1/3*y**6 + 0*y - 29. Let q(c) = 0. Calculate c.
-1, 0, 1, 3
Let q(c) = 7*c**2 - 12*c - 58. Let b(f) = -13*f**2 + 22*f + 117. Let x(u) = -6*b(u) - 11*q(u). Suppose x(k) = 0. What is k?
-8, 8
Suppose 3*n - t = 0, 0 = 3*n - 5*n + 2*t. Let k(q) be the third derivative of 0 + 1/3*q**3 + n*q - 4*q**2 + 1/24*q**5 - 1/240*q**6 - 1/6*q**4. Factor k(d).
-(d - 2)**2*(d - 1)/2
Let d(j) be the first derivative of j**6/3 - 28*j**5/5 + 5*j**4 + 80*j**3/3 - 11*j**2 - 52*j - 245. Let d(y) = 0. What is y?
-1, 1, 2, 13
Suppose 2*t = 3*z + 11, -t + 7*z = 11*z. What is v in 1/5*v**t - 2/5*v**2 - 1/5*v**3 + 0*v + 0 = 0?
-1, 0, 2
Let t be (108/126)/((-3)/(-21)). Let c(x) be the first derivative of -8/11*x + 5/11*x**2 - t - 2/33*x**3. Factor c(b).
-2*(b - 4)*(b - 1)/11
Suppose -49*u = -47*u + 1 - 5. Let 6/7*v + 2/7*v**3 - 2/7 - 6/7*v**u = 0. Calculate v.
1
Let d be (-532)/(-168) + 1/(-6). Let q be (5 - 0)*(-8)/(-10). What is n in -2*n**2 - 15*n**q + 10*n**3 + 5*n - 35*n**3 - d*n**2 = 0?
-1, 0, 1/3
Let n = 784/5 + -753/10. Let d = -80 + n. What is a in -d + 3/4*a + 3/4*a**2 = 0?
-2, 1
Let o be ((-6)/(-15))/((-549)/135 + 5). Factor 0*l**2 + o*l**3 + 0 - 3/7*l.
3*l*(l - 1)*(l + 1)/7
Let l be (-1)/((0 + 1)/(-6)). Suppose 34 = 5*w + 19. Solve -18 + l + 4*b**3 - b**w + 9*b**2 = 0 for b.
-2, 1
Let s(f) be the first derivative of 3*f**5/25 - 21*f**4/20 + 17*f**3/5 - 51*f**2/10 + 18*f/5 + 262. Factor s(p).
3*(p - 3)*(p - 2)*(p - 1)**2/5
Factor -6*f**3 + 8*f - 6*f**3 - 4*f**2 + 6*f**4 - 2*f**4 - 3*f**5 + 7*f**5.
4*f*(f - 1)**2*(f + 1)*(f + 2)
Suppose -4/3*z**4 + 0*z - 1/2*z**5 - 1/3*z**2 + 0 - 7/6*z**3 = 0. Calculate z.
-1, -2/3, 0
Let n(t) be the third derivative of 0 + 1/9*t**3 + 1/36*t**4 + 9*t**2 + 1/360*t**5 + 0*t. Factor n(w).
(w + 2)**2/6
Let g be (-8)/10*(-20)/8. Suppose 2*b - 4*w - 352 = 0, -g*b + 28 = w - 304. Let 24 + b*i - 357/2*i**4 + 276*i**2 - 120*i**3 + 147/2*i**5 = 0. What is i?
-1, -2/7, 2
Factor -1 - 40 - 39 + 8 - 12*z**2 - 104*z + 8.
-4*(z + 8)*(3*z + 2)
Determine t, given that 16/15*t**4 + 2/15*t**5 + 12/5*t**3 - 18/5*t + 0*t**2 + 0 = 0.
-3, 0, 1
Let h(t) be the second derivative of 1/300*t**6 + 0*t**4 + 0*t**2 + 1/600*t**5 - 3*t - t**3 + 0. Let u(k) be the second derivative of h(k). Factor u(x).
x*(6*x + 1)/5
Let m(b) = -2*b**2 - 26*b - 33. Let z(h) = -1. Let t(u) = 2*m(u) - 18*z(u). Find s, given that t(s) = 0.
-12, -1
Let s(k) be the third derivative of -k**5/12 + 25*k**4/8 + 85*k**3/3 + 47*k**2 - k. Factor s(a).
-5*(a - 17)*(a + 2)
Find o, given that -3/8*o**2 - 3/8*o**4 + 0 + 9/4*o - 3/2*o**3 = 0.
-3, -2, 0, 1
Let t(r) = 2*r - 42. Let u be t(20). Let g be u/(35/10 - 4). Solve 0 + 0*d + 4/7*d**g - 2/7*d**5 + 0*d**2 - 2/7*d**3 = 0 for d.
0, 1
Let t be (-494)/57*9/30 - -3. What is q in -t*q**4 - 18/5*q**2 - 4/5 + 14/5*q + 2*q**3 = 0?
1, 2
Suppose h - 2*v = -3*h + 2, 5*v - 22 = h. Factor -h*d + 6 + 0*d**2 + 5*d + 2*d**2 + 6*d.
2*(d + 1)*(d + 3)
Determine v, given that -26*v**2 - 22*v**2 + 6 + 3*v + 60*v**5 + 60*v**4 + 24*v**4 - 21*v**3 = 0.
-1, -2/5, 1/2
Let l = -4/65 - -6/13. Let d = -4 - -21/5. Let -1/5 - d*v**2 + l*v = 0. What is v?
1
Let p(b) be the third derivative of 0*b + 2/39*b**3 + 1/728*b**8 + 30*b**2 + 0*b**5 - 5/156*b**4 - 2/273*b**7 + 0 + 1/78*b**6. Determine a so that p(a) = 0.
-2/3, 1
Suppose 0 = -5*z + 3*b + 35, -4*z + 27 = -z - 3*b. Suppose u - g - g = 6, z*u + 2*g = 24. Factor -2*l**3 - 73 + 73 - u*l**2.
-2*l**2*(l + 3)
Let n = -69 + 74. Suppose n*k - 2 = 4*k. Factor 0*h + 4/9*h**k + 0 - 2/9*h**3.
-2*h**2*(h - 2)/9
Let o = 3/32 + 45/32. Let i(k) = -2*k + 13. Let j be i(4). Solve -3/2*w**j + 0*w + 0 + 3*w**3 - o*w**4 + 0*w**2 = 0.
-2, 0, 1
Let -320*h**2 - 600*h - 955*h - 10125 - 2045*h = 0. What is h?
-45/8
Let n = 48 - 46. Let -42*z - 2*z**4 + n*z - 20 + 25*z**3 - 5*z**2 - 5*z**5 + 7*z**4 = 0. What is z?
-1, 2
Let -43*p**3 + 6*p**2 + 3*p**5 + p**3 + 1231 - 42*p**2 - 1195 + 39*p = 0. Calculate p.
-3, -1, 1, 4
Let p = 6 - 3. Let u(m) = -5*m**2 - 4*m + 3. Suppose 0 = 2*z + 7 - 11. Let j(x) = 4*x**2 + 4*x - 4. Let n(b) = p*j(b) + z*u(b). Factor n(g).
2*(g - 1)*(g + 3)
Let w be (-2007)/81 + 4 - -21. Factor -10/9*h**4 + 0*h - w*h**2 - 4/9*h**5 + 0 - 8/9*h**3.
-2*h**2*(h + 1)**2*(2*h + 1)/9
Let k(u) be the third derivative of 0*u + 0 - 9/8*u**3 - 1/80*u**5 - 3/16*u**4 - 12*u**2. Suppose k(j) = 0. Calculate j.
-3
Let m = -438 + 1316/3. Let d(r) be the first derivative of -2 + 0*r**2 + 0*r - m*r**3 - 1/4*r**4. Suppose d(w) = 0. Calculate w.
-2, 0
Let t(f) be the third derivative of f**8/60 + 8*f**7/175 - f**6/6 - 2*f**5/3 - 2*f**4/5 + 16*f**3/15 + 78*f**2. Determine p so that t(p) = 0.
-2, -1, 2/7, 2
Suppose -4*g + 3*w + 17 = 0, -4*w - 10 = -2*g - 2*w. Factor -13 + g + 14*l - 21*l**2 - 1 + 34*l.
-3*(l - 2)*(7*l - 2)
Let t(h) be the second derivative of -h**6/320 + h**5/160 - 21*h**2/2 - 29*h. Let l(b) be the first derivative of t(b). Solve l(a) = 0 for a.
0, 1
Suppose 272*z - 273*z + 4 = 0. Factor -4/3*n - 2/3*n**z + 0*n**3 + 0 + 2*n**2.
-2*n*(n - 1)**2*(n + 2)/3
Let w be (-1113)/(-196) - (-8)/(-2). Let p = w + -10/7. Find a, given that 0 + p*a**2 + 1/4*a = 0.
-1, 0
Let p(v) = -v**3 + 6*v**2 - v - 3. Let z be p(5). Let x(k) = 4*k**2 - z - 6*k + 33 - 22. Let h(q) = -5*q**2 + 6*q + 7. Let l(c) = -6*h(c) - 7*x(c). Factor l(n).
2*n*(n + 3)
Let m(g) be the second derivative of 49*g**5/10 - 84*g**4 + 576*g**3 - 13824*g**2/7 + 20*g + 3. Factor m(u).
2*(7*u - 24)**3/7
Let n(s) be the third derivative of -1/4*s**4 + 0*s + 0 - 4*s**2 + s**3 + 1/40*s**5. Suppose n(b) = 0. Calculate b.
2
Let l(p) be the third derivative of p**6/180 + 23*p**5/90 + 10*p**4/3 - 16*p**3 + 5*p**2 - 8*p. Factor l(x).
2*(x - 1)*(x + 12)**2/3
Factor 3*g + 614*g**2 - 309*g**2 - 308*g**2.
-3*g*(g - 1)
Suppose -3*u + 0 + 6 = 0. Let o be (-96)/(-54)*(-69)/(-92). Let 4/3*b + b**u - o*b**3 + 1/3*b**4 - 4/3 = 0. What is b?
-1, 1, 2
Let c(g) be the third derivative of -g**8/5040 + g**7/1260 + g**6/360 - 5*g**3 + 17*g**2. Let f(r) be the first derivative of c(r). Factor f(j).
-j**2*(j - 3)*(j + 1)/3
Factor 2/19*x**3 - 80/19*x - 22/19*x**2 - 56/19.
2*(x - 14)*(x + 1)*(x + 2)/19
Let d(x) be the second derivative of x**5/5 + 2*x**4/3 - 40*x**3/3 + 48*x**2 - 471*x. Factor d(h).
4*(h - 2)**2*(h + 6)
Solve 41/6*k - 1/6 + 1/6*k**2 - 41/6*k**3 = 0 for k.
-1, 1/41, 1
Let n(y) be the second derivative of 2*y**6/15 - y**5/15 - 2*y**4/3 + 2*y**3/3 - 7*y**2/2 + 2*y. Let x(m) be the first derivative of n(m). Solve x(f) = 0 for f.
-1, 1/4, 1
Let b(x) be the first derivative of -2*x + 20 + 4*x**2 - 10/3*x**3 + x**4. Suppose b(k) = 0. What is k?
1/2, 1
Let f = -28 - -30. Let x**2 + f*x**2 + 3*x**2 - 1 - 5*x**2 = 0. What is x?
-1, 1
Let n(j) be the third derivative of 2*j**7/105 + j**6/40 - j**5/60 - 48*j**2 - 1. What is m in n(m) = 0?
-1, 0, 1/4
Let f be 13 + (-1956)/160 - (-12)/(-32). Determine m, given that 1/5*m + 1/5*m**2 - f = 0.
-2, 1
Suppose 4/3*k**4 + 2/9*k**3 + 0 - 2/9*k**5 + 0*k - 4/3*k**2 = 0. Calculate k.
-1, 0, 1, 6
Suppose 8*r = -7 + 47, -5*r = 4*a - 37. Solve -392/13*y**5 - 658/13*y**4 - 116/13*y**a - 8/13 + 166/13*y**2 + 8/13*y = 0 for y.
-1, -1/4, 2/7
Suppose -3*c**2 - 3/2 - 27/4*c = 0. What is c?
-2, -1/4
Suppose 22 = s - j, 0 = 4*s + 3*j - 54 - 55. Suppose 0 = 2*m + k + 5, 0*m + m + 5*k = -s. Factor 18*a**2 - 6*a + m*a + 9*a**2.
3*a*(9*a - 2)
Suppose 0 = 2*c + 5*r - 38, -3*c + 1440 = -r + 1434. Factor 0 + 2/5*h**2 + 0*h - 2/5*h**c + 0*h**3.
-2*h**2*(h - 1)*(h + 1)/5
Let j be (-4)/(8/(-3))*(5 + -3). Let u(t) be the second derivative of 0 - 1/120*t**6 +