 + 3/2*q.
-(q - 2)*(q - 1)/2
Suppose -9*o = -6*o - 3, 0 = -3*j - 4*o + 19. Let q(k) be the second derivative of k**2 + 1/2*k**3 + 0 - 3/20*k**j - 6*k - 1/6*k**4. Factor q(w).
-(w - 1)*(w + 1)*(3*w + 2)
Let n(a) = -6 - 9 + 2 - 14*a**2 - 14*a + a**3. Let j be n(15). Suppose 0*p + 0 + 0*p**j + 1/3*p**4 - 2/3*p**3 = 0. Calculate p.
0, 2
Let u(w) be the third derivative of w**5/30 + w**4/4 - 28*w**3/3 + 348*w**2. Factor u(q).
2*(q - 4)*(q + 7)
Let l(v) be the first derivative of v**4/34 - 50*v**3/51 + 24*v**2/17 + 504. Find r, given that l(r) = 0.
0, 1, 24
Let c(x) be the second derivative of -x**5/12 - 5*x**4/8 - 6*x**2 - 8*x. Let k(t) be the first derivative of c(t). Factor k(u).
-5*u*(u + 3)
Factor 80*u**4 + 1620*u + 70*u**2 - 5*u**5 - 365*u**3 + 1034 - 25*u**2 + 46 + 45*u**2.
-5*(u - 6)**3*(u + 1)**2
Factor 2/15*a**3 - 94/15*a**2 + 190/3*a + 250.
2*(a - 25)**2*(a + 3)/15
Factor -1/4*u**5 + 7/4*u**3 + 0*u - u**2 + 0 - 1/2*u**4.
-u**2*(u - 1)**2*(u + 4)/4
Suppose -8*o + 75 = -5*o. Suppose -4*j + j + o = -4*n, 0 = j + 5*n + 17. Find c such that -3/2*c**2 + 3/2*c - 1/2 + 1/2*c**j = 0.
1
Suppose y + 116 = 30*y. Let o(z) be the first derivative of -6 - 2/25*z**5 - 8/5*z**3 + 8/5*z**2 + 3/5*z**y + 0*z. Factor o(w).
-2*w*(w - 2)**3/5
Let 0*x - 2/3*x**2 + 6 = 0. What is x?
-3, 3
Let w(l) = l**3 - l + 1. Let y(m) = 3*m**3 - 81*m**2 - 510*m + 594. Let a(s) = 6*w(s) - y(s). Factor a(o).
3*(o - 1)*(o + 14)**2
Let k(x) be the first derivative of x**5/5 - 15*x**4/4 - 35*x**3/3 + 15*x**2/2 + 34*x - 203. Suppose k(u) = 0. Calculate u.
-2, -1, 1, 17
Let f = -1 + -1. Suppose -17 = 3*w + 16. Let y(i) = 5*i**3 + 6*i - 11. Let u(k) = -k**3 - k + 2. Let q(b) = f*y(b) + w*u(b). Factor q(v).
v*(v - 1)*(v + 1)
Let p(h) = 2*h**2 - h + 1. Let o be p(1). Find x, given that -26*x**3 + o*x**2 - 6*x**4 + 2 + 34*x - 16*x + 8*x**5 + 2 = 0.
-1, -1/4, 1, 2
Let a(l) be the first derivative of 1/720*l**6 + 1/18*l**3 - 1/144*l**4 + 0*l - 1/180*l**5 - 4*l**2 + 4. Let r(y) be the second derivative of a(y). Factor r(f).
(f - 2)*(f - 1)*(f + 1)/6
Let q(m) be the third derivative of -m**8/2240 + m**6/80 + m**5/20 + 11*m**4/12 + m**3/6 + 12*m**2. Let i(p) be the second derivative of q(p). Factor i(k).
-3*(k - 2)*(k + 1)**2
Let a(k) = -18*k - 139. Let u be a(-8). Let b(n) be the first derivative of -1/3*n + 1/9*n**3 + u + 0*n**2. Factor b(z).
(z - 1)*(z + 1)/3
Let i be -2 + (4 - (2 - 5)). Suppose -r = -1 - i. Factor -r*o - 4 + 4*o**2 + 4 + 2.
2*(o - 1)*(2*o - 1)
Let a(p) be the third derivative of -1/300*p**6 + 0*p + 1/20*p**4 + 0 + 2/15*p**3 + 0*p**5 + 43*p**2. Factor a(f).
-2*(f - 2)*(f + 1)**2/5
Let p = -11985 + 11987. Solve -3/5*l**p + 4/5 + 0*l - 1/5*l**3 = 0.
-2, 1
Let f(p) be the second derivative of p**6/270 + p**5/80 + p**4/144 - 5*p**3/6 - 16*p. Let j(w) be the second derivative of f(w). Factor j(n).
(n + 1)*(8*n + 1)/6
Let i(f) be the second derivative of 7*f**4/96 - 73*f**3/12 - 21*f**2/4 - 227*f. Determine u so that i(u) = 0.
-2/7, 42
Let f be 16/9 + 12/54. Suppose -3*v + 4*h = -2, -h + f*h = 2*v - 3. Let 4*s**4 + 0*s**2 - 40*s - 4*s**v + 12 - 24*s**3 + 52*s**2 = 0. Calculate s.
1, 3
Let j = 32 + -31. Let z = -6 + j. Let o(b) = -b**3 - b**2 + 2*b. Let x(u) = -2*u**3 - 3*u**2 + 4*u. Let k(n) = z*o(n) + 2*x(n). Factor k(y).
y*(y - 2)*(y + 1)
Let m(l) be the first derivative of -3*l**2/2 + 3*l + 1. Let u be m(-5). Find k such that -20*k**2 + 16 - 8*k - 34 + u - 12*k**3 + 4*k**5 + 4*k**4 = 0.
-1, 0, 2
Solve 197*b**3 - 82*b**2 - 20*b + 2 + 22 - 402*b**3 - 5*b**4 + 162*b**3 = 0 for b.
-6, -2, -1, 2/5
Let f(p) = 8*p - 43. Suppose 16*d - 20*d + 24 = 0. Let m be f(d). Factor 0 - 13/9*t**3 + 4/3*t**2 - 1/9*t**m - 4/9*t + 2/3*t**4.
-t*(t - 2)**2*(t - 1)**2/9
Let n be 1736/(-248) - 9/(-1). Solve -7/5*k**n + 3/5*k**4 + 1/5*k**3 + 0*k - 1/5*k**5 + 4/5 = 0.
-1, 1, 2
Suppose 0 = -10*s + 57 + 53. Factor -5*x**2 + 10*x**2 - 4*x**3 + s*x**2.
-4*x**2*(x - 4)
Let i = -1647 - -1649. What is o in 4/3*o + 4/3 + 1/3*o**i = 0?
-2
Let t be 5/((-60)/8) - -1. Let z(r) be the first derivative of r + t*r**3 + 4 - r**2. Factor z(w).
(w - 1)**2
Let c(y) be the first derivative of 2/3*y**3 + y**2 - 4*y - 8. Factor c(a).
2*(a - 1)*(a + 2)
Let v(c) be the third derivative of c**9/2268 - c**7/315 + c**5/90 - 13*c**3/3 + 8*c**2. Let t(d) be the first derivative of v(d). Factor t(y).
4*y*(y - 1)**2*(y + 1)**2/3
Let f = -4 - -7. Suppose -2*l + 2*a = -16, -l + 14 = -f*a - 2. Let -v**2 + 0*v**4 - 2*v**2 + 3*v**l + 0*v**2 = 0. Calculate v.
-1, 0, 1
Determine t so that -9*t**3 + 6*t + 44*t**2 + 3*t**4 + 3*t**5 - 66*t**2 + 19*t**2 = 0.
-2, -1, 0, 1
Let h(d) be the second derivative of -1/32*d**4 + 11*d + 0*d**2 + 0 - 1/16*d**3. Factor h(w).
-3*w*(w + 1)/8
Let u = -1577 - -1577. Find l, given that u + 1/2*l**2 - 1/2*l**3 - 1/6*l + 1/6*l**4 = 0.
0, 1
Suppose -6*o + 338 - 8 = 0. What is f in 17*f**4 + 2*f**5 + o*f**2 - 55*f**2 - f**4 + 36*f**3 - 54*f = 0?
-3, 0, 1
Let o(g) be the second derivative of -g**9/40320 - 3*g**8/8960 - 3*g**7/2240 - g**4/4 - 4*g. Let d(i) be the third derivative of o(i). Factor d(x).
-3*x**2*(x + 3)**2/8
Let a be (1 + -3 - 2) + -10. Let t = 19 + a. Find u, given that 3*u**t + 3*u - 6*u**3 + 4*u**2 + 0*u**5 - 4*u**2 = 0.
-1, 0, 1
Suppose x - 14 = -5*w, 2*x - 12 = 16*w - 18*w. Factor -10/11*u**3 + 0*u - 4/11*u**w - 2/11*u**5 + 0 - 8/11*u**4.
-2*u**2*(u + 1)**2*(u + 2)/11
Let n(l) = 5*l**2 - 10*l + 21. Let a = -13 - -17. Let r(q) = q**2 - 1. Let t(z) = a*r(z) - n(z). Factor t(h).
-(h - 5)**2
Let l = -12 + 15. Factor -12*i - 2*i**5 + 32*i**2 + i**5 - 36*i**3 + 5*i**5 + 12*i**l.
4*i*(i - 1)**3*(i + 3)
Let u(k) = 3*k**3 - 31*k**2 + 10*k + 1. Let j be u(10). Suppose i + j = -0*i + d, -5*d = i - 5. Suppose i*t**2 - 3/5*t - 2/5 + 1/5*t**3 = 0. Calculate t.
-1, 2
Let s(w) be the second derivative of 0*w**2 + 4*w + 0 - 1/24*w**4 + 1/6*w**3. Let s(d) = 0. What is d?
0, 2
Find b such that -208*b**2 + 66*b**3 + 28*b**2 - 5*b**4 + 14 - 174 - 16*b**3 + 280*b = 0.
2, 4
Let k = 132355/12408 - 1/4136. Let 6*j**4 - 2/3*j**5 + k - 32*j + 112/3*j**2 - 64/3*j**3 = 0. What is j?
1, 2
Let 0 - 8*h**2 - 5/2*h**3 - 3/2*h = 0. What is h?
-3, -1/5, 0
Suppose 6*h + h = 21. Suppose -3*u**3 - u**h - u**4 + 16*u**4 + u**4 = 0. Calculate u.
0, 1/4
Let k be -9 - ((-2059)/(-142))/(6/(-4)). Factor 0 - 1/2*n**3 - 1/12*n**4 - k*n - n**2.
-n*(n + 2)**3/12
Let i = 67481/40 + -1687. Let o(j) be the second derivative of 0*j**2 + 0 - i*j**5 + 1/6*j**4 - 6*j - 1/3*j**3. Factor o(k).
-k*(k - 2)**2/2
Factor 19/6*k**3 - 62/3*k - 2 - 31/2*k**2.
(k - 6)*(k + 1)*(19*k + 2)/6
Suppose -5 = -o + 3*k, 163 - 161 = -2*k. Factor 11/2*r**o + 3/2*r**4 - 13/2*r**3 - 3 + 5/2*r.
(r - 3)*(r - 1)**2*(3*r + 2)/2
Suppose 0 = -2*w - 4*k + 2*k + 10, -2*w + 2 = -2*k. Let z be -6 + (190/w)/10. Determine c, given that -2/3*c - 1/3 - z*c**2 = 0.
-1
Let r(b) = 2*b - 14. Let p be r(7). Factor p*v**2 + 2 - 3*v**3 - 3*v + 6*v - 6*v**2 + 4.
-3*(v - 1)*(v + 1)*(v + 2)
Let v(a) be the first derivative of 49/9*a + 1/27*a**3 - 7/9*a**2 - 15. Solve v(n) = 0.
7
Suppose -t + 2*t - 1 = 0. Suppose -181 = -5*m - t. Solve -21*v + 31 + 4*v**3 + 77 + 129*v + m*v**2 = 0.
-3
Let c be ((-54)/81)/((-21)/36). Let o(u) be the first derivative of -u**2 - 4/21*u**3 + 8 + c*u. Determine v so that o(v) = 0.
-4, 1/2
Determine o, given that -7*o + 4*o**2 - 2 + 8*o - 9*o + 2 = 0.
0, 2
Let o(y) be the first derivative of y**4/36 - y**2/18 - 34. What is l in o(l) = 0?
-1, 0, 1
Let c be (38 - 2)*1/(-2). Let o be (-4)/c - (-16)/9. Let -y**2 + 0*y + 3*y + o*y**2 = 0. Calculate y.
-3, 0
Let s(w) be the second derivative of 5/48*w**4 + 1/16*w**5 + 10*w + 0 - 25/24*w**3 + 15/8*w**2. Factor s(r).
5*(r - 1)**2*(r + 3)/4
Let r = 47 - 47. Solve r + 3/2*u**2 + 3/2*u = 0 for u.
-1, 0
Let o(y) be the first derivative of 2*y**3/15 - y**2/5 - 8*y - 70. Determine k so that o(k) = 0.
-4, 5
Factor 304/7 + 2/7*k**4 + 50/7*k**3 + 36*k**2 + 472/7*k.
2*(k + 2)**3*(k + 19)/7
Let s = -34 + 36. Factor 37*l**2 - 7*l**3 - 5*l**3 - 45*l**s - 4*l**4.
-4*l**2*(l + 1)*(l + 2)
Let v(g) be the second derivative of g**7/4410 + g**6/420 - g**4/12 - g. Let i(h) be the third derivative of v(h). Factor i(a).
4*a*(a + 3)/7
Let f = -16508 + 16510. Let 1/2*r**f - 3/2*r - 2 = 0. Calculate r.
-1, 4
Factor -9/2*j**3 + 0 + 27/8*j**2 + 3/2*j**