u**3/2 - 26*u. Let x(b) be the third derivative of l(b). Factor x(f).
-(f - 2)*(9*f + 2)/6
Factor 6*p**2 + 7*p**2 - 19*p**2 + 10*p**2 + 8 + 16*p + 2*p**2.
2*(p + 2)*(3*p + 2)
Let v be 106/40 + (-6 - -5) + -1. Let g = v + -2/5. Factor 1/2*n + g*n**2 + 1/4.
(n + 1)**2/4
Let h(b) be the first derivative of 0*b - 1/6*b**2 + 1/9*b**3 - 11. Find v such that h(v) = 0.
0, 1
Let v = -30 + 15. Let x be (6/4)/(-2*v/8). Let -3/5*p + 0 - x*p**2 + 1/5*p**3 = 0. What is p?
-1, 0, 3
Suppose 0 = 3*c - 5*c + 24. Suppose -4*s + c = -s. Find o such that -25*o**s - 3 + 36*o**2 + 9 - 14*o**3 + 10 - 40*o + 27*o**4 = 0.
1, 2
Let h(t) be the third derivative of -3*t**5/170 - 3*t**4/34 - 8*t**3/51 - 49*t**2. What is z in h(z) = 0?
-4/3, -2/3
Let l(n) be the second derivative of 3/140*n**5 + 0*n**3 + 3/28*n**4 - 2*n - 6/7*n**2 + 0. Factor l(r).
3*(r - 1)*(r + 2)**2/7
Let k(d) be the second derivative of -d**4/4 + 5*d**3 - 27*d**2/2 + 2*d + 18. Factor k(j).
-3*(j - 9)*(j - 1)
Let t = 4 + -2. Suppose 4*q = t*q. Determine s so that 1 - 7*s**4 + 8*s**4 + q*s**4 - 2*s**2 = 0.
-1, 1
Suppose h - 13 = -5*q, 10*q - 3 = -3*h + 13*q. Let t(f) be the first derivative of 0*f**2 - 3/8*f**4 + 0*f + 6 - 3/8*f**6 + 0*f**h - 3/4*f**5. Factor t(o).
-3*o**3*(o + 1)*(3*o + 2)/4
Let y(z) = -40*z - 280. Let d be y(-7). Factor d + 3/4*f**4 + 3/4*f**3 + 0*f + 1/4*f**5 + 1/4*f**2.
f**2*(f + 1)**3/4
Let g be 1 + 0 + -3 - -7. Suppose g*d - 6 - 19 = 0. Determine v, given that 85*v**2 - 25*v**2 - 35*v**d + 3*v**3 - 267*v**4 + 161*v**5 - 12*v = 0.
-1/2, 0, 2/7, 1/3, 2
Let v(x) be the third derivative of 1/56*x**7 + 3/80*x**5 + 7/160*x**6 + 0*x**4 + 31*x**2 + 0 + 0*x + 1/448*x**8 + 0*x**3. Factor v(u).
3*u**2*(u + 1)**2*(u + 3)/4
Suppose 36 + 243*k + k**2 - 101*k - 86*k - 93*k = 0. What is k?
1, 36
Determine v so that 67*v**3 + 63*v**3 + 3*v - 2 + 0 - 131*v**3 = 0.
-2, 1
Factor 286*x**2 - 12 - 255*x**3 + 12 - 3*x**5 + 38*x**4 + 164*x**2 + 10*x**4.
-3*x**2*(x - 6)*(x - 5)**2
Let p(m) be the second derivative of -m**4/12 - 2*m**3 - 195*m. Solve p(t) = 0.
-12, 0
Let k = 51 - 48. Suppose 0 = 4*t - 4*t - k*t. Factor 0*u**2 + t*u**3 + 0*u + 2/7*u**4 + 0.
2*u**4/7
Suppose 23 = 2*y - 21. Suppose -1 + 5 = -4*b + 3*h, 4*h = -3*b + y. Factor 4/3 + 2/3*i**b + 2*i.
2*(i + 1)*(i + 2)/3
Let g(c) be the first derivative of -c**7/126 - c**6/72 + c**5/18 - 10*c**2 - 6. Let k(m) be the second derivative of g(m). What is a in k(a) = 0?
-2, 0, 1
Suppose 5 = 5*f - 5. Determine n, given that -n**2 - 18*n**4 + 15*n**5 + 25*n**3 - 3*n**2 - 17*n**4 - n**f = 0.
0, 1/3, 1
Let b be 3/7 - (-33)/77*-1*1. Factor 0*j**4 + 4/3*j**3 + b*j**2 - 2/3*j**5 + 0 - 2/3*j.
-2*j*(j - 1)**2*(j + 1)**2/3
Let v(b) = 11*b + 1. Let z(j) = 6*j**2 - 282*j + 202. Let l(f) = 2*v(f) - z(f). Factor l(t).
-2*(t - 50)*(3*t - 2)
Let i(x) be the second derivative of 1/70*x**5 + 2/21*x**3 - 1/14*x**4 - 20*x + 0 + 0*x**2. Determine r so that i(r) = 0.
0, 1, 2
Let i = 644/45 + -2171/180. Solve 0 - i*o - 3/8*o**3 + 15/8*o**2 = 0 for o.
0, 2, 3
Let i(y) be the second derivative of -y**5/20 - 43*y**4/4 + y**3/6 + 129*y**2/2 + 509*y. Find j, given that i(j) = 0.
-129, -1, 1
Let p = 7281/10 - 728. Factor 2/5*n + 2/5*n**3 + 1/10*n**4 + 3/5*n**2 + p.
(n + 1)**4/10
Let c(s) be the first derivative of 5*s**4/14 - 9*s**3/7 + 4*s**2/7 + 12*s/7 + 72. Factor c(q).
(q - 2)*(2*q + 1)*(5*q - 6)/7
Let i = -10 - -22. Factor -7*t - 44*t - i*t**4 + 18 + 62*t**2 - 20*t**2 + 3*t**5.
3*(t - 3)*(t - 1)**3*(t + 2)
Let z = -13154 - -118406/9. Factor 0 - 28/9*y**3 - z*y + 44/9*y**2 + 4/9*y**4.
4*y*(y - 5)*(y - 1)**2/9
Let b be -8 + 292/36 - (-45)/324. Find r, given that -b*r**2 + 1/2*r - 1/4 = 0.
1
Let m = -29 + -56. Let x = -83 - m. Factor -7/2*t - 1 + x*t**2.
(t - 2)*(4*t + 1)/2
Let q(j) = -j + 20. Let r be q(6). Let u = -12 + r. Factor -8*n + 0 + 1 + 2*n**u + 2 + 5.
2*(n - 2)**2
Let x(r) be the second derivative of r**6/540 - 2*r**3 + 15*r. Let a(h) be the second derivative of x(h). Factor a(z).
2*z**2/3
Let p(h) = 3*h + 5. Let d be 5/(-5*4) + (-2)/(-8). Let w be p(d). Factor -1/3*z**4 - z**3 + 0 + 1/3*z**2 + 1/3*z**w + 2/3*z.
z*(z - 2)*(z - 1)*(z + 1)**2/3
Let c(o) be the first derivative of -4*o**2 - 2 + 2/9*o**3 + 24*o. Factor c(a).
2*(a - 6)**2/3
Let c be 6/24 - 2/2104*267. Let n = 539/3419 + c. Let -2/13*a**2 + 0*a - n*a**3 + 0 = 0. What is a?
-1, 0
Suppose -4*f + 10 = 3*r - 15, -3*f = -12. Solve 4*d**2 - d**2 - 9*d**2 + 3*d**4 - 3*d**r = 0.
-1, 0, 2
Let h be ((-20)/25)/(4/(-14) + (-22)/21). Factor 0*c**2 + 0*c + 0 - h*c**3 - 6/5*c**4 - 3/5*c**5.
-3*c**3*(c + 1)**2/5
Determine o, given that 36*o - o**2 - o**2 + 4*o**2 + 2*o**2 = 0.
-9, 0
Let v(a) be the second derivative of 2*a**6/15 + 83*a**5/5 + 560*a**4 - 1176*a**3 - 12*a + 5. Find q, given that v(q) = 0.
-42, 0, 1
Suppose -30 = 3*j - 36. Factor 28*n**j - 15*n**3 - 8*n**2 - 12*n + 4*n**2 + 3*n**4.
3*n*(n - 2)**2*(n - 1)
Let f(m) be the second derivative of m**5/130 + m**4/78 - 40*m**3/39 - 112*m**2/13 + 3*m + 22. Factor f(k).
2*(k - 7)*(k + 4)**2/13
Let o(d) = -18*d**4 + 7*d**3 + 10*d**2 - 7*d + 4. Let b(k) = -k**4 + 2*k**3 - k + 1. Let y(s) = 12*b(s) - 3*o(s). Solve y(u) = 0.
-1, 0, 3/7, 1/2
Let h = 14295/11 - 1299. Solve -h*n**2 + 6/11*n**4 + 0 + 6/11*n - 6/11*n**3 = 0.
-1, 0, 1
Suppose 3*p = 9*p. Let d be (-4 - p/5) + 69. Factor -35*u**5 + 4*u - 135*u**3 - 15*u + d*u**2 + 115*u**4 + u.
-5*u*(u - 1)**3*(7*u - 2)
Let n = 5 - 8. Let a(y) = 80*y**3 - 117*y**2 - 72*y - 7. Let i(b) = 160*b**3 - 235*b**2 - 145*b - 15. Let u(w) = n*i(w) + 5*a(w). Determine k so that u(k) = 0.
-1/4, 2
Let c be (-42)/12*64/(-28). Let j be (-6 - (-50)/c) + 2/24. Factor 1/6*i**2 - j*i + 0.
i*(i - 2)/6
Let c = 1/274 - -133/1096. Let a(s) be the first derivative of 0*s + 8 - 1/12*s**3 - c*s**2. Factor a(u).
-u*(u + 1)/4
What is n in 6561/5 + 1/5*n**2 + 162/5*n = 0?
-81
Let v(y) be the first derivative of -y**6/15 + y**4/3 - y**2 + 4*y - 12. Let h(o) be the first derivative of v(o). Factor h(l).
-2*(l - 1)**2*(l + 1)**2
Let d(b) = -4*b - 25. Let s be d(-7). Solve -3*q**s + 0*q**3 - 20*q - 4*q + 12 + 17*q**2 - 2*q**2 = 0.
1, 2
Let a(f) be the first derivative of -11/9*f**4 - 20/9*f**2 - 28 + 8/9*f + 22/9*f**3 + 2/9*f**5. Let a(d) = 0. Calculate d.
2/5, 1, 2
Let 15*q + 1/3*q**4 + 6 + 37/3*q**2 + 11/3*q**3 = 0. Calculate q.
-6, -3, -1
Let c(h) be the third derivative of h**5/330 + 9*h**4/44 + 2*h**2 + 2. Determine b so that c(b) = 0.
-27, 0
Let q(f) be the third derivative of -f**9/151200 + f**7/4200 + f**6/900 + 2*f**5/15 - 6*f**2. Let h(l) be the third derivative of q(l). Factor h(y).
-2*(y - 2)*(y + 1)**2/5
Suppose -4*r - 2*z + 11 = z, -30 = 5*r - 5*z. Let k be ((-2)/2)/(r/4). Factor p - 4*p**3 - 6 + p**k + p**5 - 2*p**2 + 0*p**3 + 7 + 2*p**3.
(p - 1)**2*(p + 1)**3
Let z(p) be the first derivative of -92*p**5/15 - 5*p**4/4 + 71*p**3/9 - p**2 + 42. Suppose z(c) = 0. What is c?
-1, 0, 2/23, 3/4
Let c(q) be the second derivative of q + 0*q**4 + 0*q**3 - 1/240*q**6 + 0*q**5 + 0 - 4*q**2 - 1/420*q**7. Let b(a) be the first derivative of c(a). Factor b(h).
-h**3*(h + 1)/2
Factor 2*d - 4*d**3 + 32*d + 36*d**2 + 2*d + 0*d**3 - 4*d**4.
-4*d*(d - 3)*(d + 1)*(d + 3)
Let d(o) = o**3 - 8*o**2 + 12*o. Let c be d(6). Let y(z) be the third derivative of 0*z + 1/30*z**5 + c - 4*z**2 + 0*z**3 + 0*z**4. Let y(s) = 0. What is s?
0
Let f(l) be the first derivative of -l**6/30 + l**5/20 + l**4/12 - l**3/6 - 11*l - 5. Let i(k) be the first derivative of f(k). Let i(z) = 0. Calculate z.
-1, 0, 1
Suppose -20 = -2*u - 2. Let m be ((-2)/3)/((-2)/u). Suppose 4*g**m - 2*g**5 - g**4 + g**4 + 0*g - 2*g = 0. What is g?
-1, 0, 1
Let 2/3*q - 2*q**2 - 2/3*q**3 + 2/3*q**4 + 4/3 = 0. What is q?
-1, 1, 2
Let w(g) be the third derivative of -17*g**2 + 0*g + 1/300*g**5 + 1/60*g**4 - 1/10*g**3 + 0. What is z in w(z) = 0?
-3, 1
Suppose 2 = 3*u + 25*u + 2. Let v = -9/13 + 57/26. Factor v*l + u - 3/4*l**2.
-3*l*(l - 2)/4
Determine g, given that -13*g + 67*g**2 - 55*g**2 + 3*g**3 + 2*g**3 - 4*g**3 = 0.
-13, 0, 1
Suppose -4*h + 75 = z, -3*z - 28 = -2*h - 1. Suppose -2*n = -h + 10. Find m, given that 8*m**3 - n*m - 5 + 4*m**3 - 3 + 8*m**2 - 8*m**3 = 0.
-2, -1, 1
Solve -102/11*y**2 + 212/11*y + 0 - 2/11*y**3 = 0.
-53, 0, 2
Suppose 4/5*a**5 + 4/5*a - 4 + 8*a**2 - 4*a**4 - 8/5*a**3 = 0. What is a?
-1