 + 1)*(q + 2)/3
Let p(m) = -m**2 - 48*m + 948. Let l be p(-63). Suppose -2/3*o**2 + 22/15*o - 2/5 - 2/5*o**l = 0. Calculate o.
-3, 1/3, 1
Let j = 103/214 - -2/107. Suppose 0 = 3*y - 7*y + 4*g + 4, -g + 5 = y. What is v in 0 + 1/2*v**y + j*v**2 + 0*v = 0?
-1, 0
Suppose -1/2*n**2 - 59/2*n + 30 = 0. What is n?
-60, 1
Let l(u) be the first derivative of -1/240*u**5 + 0*u + 0*u**4 + 1/24*u**3 - 6 + 3/2*u**2. Let n(m) be the second derivative of l(m). Factor n(g).
-(g - 1)*(g + 1)/4
Let r be ((-3)/(-1) + -5)*-8. Let n = r - 8. Factor 2*l**2 + 2*l - 2 + n - 5*l - 5*l**2.
-3*(l - 1)*(l + 2)
Let i = 3393/8 - 424. Factor 0 + i*q + 0*q**2 - 1/8*q**3.
-q*(q - 1)*(q + 1)/8
Let w be 2/(-8) + (-90)/(-60). Let r(p) be the second derivative of -3/20*p**5 + 1/2*p**3 + w*p**4 - 4/5*p**6 + 0 - 2/7*p**7 - 3/2*p**2 + p. Factor r(j).
-3*(j + 1)**3*(2*j - 1)**2
Let l(n) = -2*n**3. Let g be l(-1). Suppose 4*i - q - 8 = -4, 5*q = 20. Factor -3 + 2*b**3 + g*b**3 + 4*b + 6*b**i + 3 + 1 + b**4.
(b + 1)**4
Let q(u) be the first derivative of -u**5/5 + 4*u**4/3 - 2*u**3 - 4*u + 19. Let t(w) be the first derivative of q(w). Factor t(f).
-4*f*(f - 3)*(f - 1)
Let q(o) be the third derivative of o**8/112 + o**7/70 - o**6/10 - o**5/5 + 342*o**2. Determine p so that q(p) = 0.
-2, -1, 0, 2
Suppose -2 = a - 13. Let k(c) = 2*c + 0*c**2 - 8*c**2 - c - a*c**3 + 2*c + 5. Let u(i) = i**3 - i - 1. Let h(z) = -2*k(z) - 10*u(z). Solve h(q) = 0 for q.
-1, -1/3, 0
Let t(o) be the third derivative of 9*o**2 + 1/90*o**5 + 0 + 5/36*o**4 + 0*o + 4/9*o**3. Factor t(v).
2*(v + 1)*(v + 4)/3
Let i = 4 - -30. Factor 2 + 3 - 65*h**3 + 75*h**2 - 69*h + i*h + 20*h**4.
5*(h - 1)**3*(4*h - 1)
Let w(b) be the second derivative of b**5/5 + 7*b**4/3 - 37*b**3/2 + 45*b**2 + 265*b. Factor w(k).
(k + 10)*(2*k - 3)**2
Let q be (11 - (-122)/(-6)) + 11. Factor 20/3*i - 20/3 - q*i**2.
-5*(i - 2)**2/3
Suppose 20*n = 3 + 37. Let w(g) be the second derivative of 6*g + 1/20*g**5 + 4/3*g**3 + 2*g**n + 0 + 5/12*g**4. Find m such that w(m) = 0.
-2, -1
Suppose -3*n + 36 = -5*l, -36*n - 4*l - 8 = -28*n. Find a such that 14/3*a - 10/3*a**n - 4/3 = 0.
2/5, 1
Let x(v) be the third derivative of 169*v**6/420 - 65*v**5/42 + 16*v**4/7 - 12*v**3/7 + 57*v**2. What is a in x(a) = 0?
6/13, 1
Let f(y) = 2*y - 3. Let u be f(1). Let r(v) = 2*v**2 + v + 1. Let m be r(u). Let c**2 - 8 - c**3 + 6*c**m - 4*c**3 - c**2 + 4*c + c**4 = 0. Calculate c.
-1, 2
Let l(v) be the second derivative of 3*v**5/4 - 625*v**4/12 + 2135*v**3/2 + 2205*v**2/2 - v + 80. Find j such that l(j) = 0.
-1/3, 21
Factor 10/11*v**3 - 94/11*v**2 + 0 + 36/11*v.
2*v*(v - 9)*(5*v - 2)/11
Let h(k) be the second derivative of 0 + 1/2*k**3 + 9/4*k**2 - 6*k - 1/8*k**4. Find f such that h(f) = 0.
-1, 3
Let k = 1708 + -1704. Solve -16/5*i**3 + 24/5*i**2 - 16/5*i + 4/5 + 4/5*i**k = 0 for i.
1
Let z = -10 - -15. Suppose 1 = -s + z. Let -2/9*i**s - 4/3*i**2 - 8/9*i**3 - 8/9*i - 2/9 = 0. What is i?
-1
Let r be (-1 - -1)/((-9)/3 + 5). Let u(i) be the third derivative of 0*i - 1/6*i**3 - 1/240*i**5 + r - 1/24*i**4 + 4*i**2. Find g such that u(g) = 0.
-2
Suppose -3*g + 7 = -u + g, 5*g - 64 = -3*u. Suppose 7*i - 1 = u. Solve 0 - 6 + 261*n - 5*n**i - 251*n + 1 = 0 for n.
1
Let m be (18/(-10) - -1)*5. Let j be m/(-14) - 0/(3/(-3)). Factor j*u**2 + 4/7 - 6/7*u.
2*(u - 2)*(u - 1)/7
Let m(h) = -18*h**3 - 354*h**2 + 176*h - 38. Let p be 7/(35/(-2))*(6 + -1). Let g(k) = -k**3 - k**2 + k + 1. Let r(a) = p*m(a) - 28*g(a). Solve r(x) = 0 for x.
-12, 1/4
Let d = 109/60 - 17/12. Let r = 330 + -328. Let -d - 3/5*o**3 - 9/5*o - 2*o**r = 0. Calculate o.
-2, -1, -1/3
Factor -3/7*h**2 + 46/7 + 23/7*h**3 + 1/7*h**4 - 67/7*h.
(h - 1)**2*(h + 2)*(h + 23)/7
Let h(y) be the third derivative of -y**6/30 + y**5/5 + 3*y**4/2 + 10*y**3/3 - 124*y**2. Determine s, given that h(s) = 0.
-1, 5
Factor -2*z + 41/4*z**3 + 0 + 13/4*z**4 - 23/2*z**2.
z*(z - 1)*(z + 4)*(13*z + 2)/4
Let w(d) be the third derivative of d**7/3360 - d**6/720 + d**5/480 + d**3/3 + 5*d**2. Let m(l) be the first derivative of w(l). Find r such that m(r) = 0.
0, 1
Let r(m) = -m**2 - 5*m - 5. Let t be r(-3). Factor -3*n**2 - t + 1 - n**3 + 5*n**2.
-n**2*(n - 2)
Let y be (30/(-4))/((-1410)/376). Factor -1/3*k**y - 5/3*k + 2.
-(k - 1)*(k + 6)/3
Let v(b) be the third derivative of -b**7/1050 + 7*b**6/600 + 19*b**5/300 - 7*b**4/120 - 3*b**3/5 + 449*b**2. Find c, given that v(c) = 0.
-2, -1, 1, 9
Suppose 0 = l - 0 - 19. Suppose -2*q + l = 3*g, 4*q + 16 = 7*q + 2*g. Determine u, given that 0 + 0*u + 1/4*u**q = 0.
0
Factor -17496/5*h**2 - 2/5 - 314928/5*h**3 - 324/5*h.
-2*(54*h + 1)**3/5
Factor -40*u**2 - 5*u**4 + 2023*u + 30*u**3 - 2023*u.
-5*u**2*(u - 4)*(u - 2)
Let f be (1*3)/(39/(-208)). Let g be 42/10 - f/20. Find d, given that 2*d + 3*d**4 + 4*d + 20*d**2 - 2*d**3 - g*d**2 + 14*d**3 = 0.
-2, -1, 0
Suppose 2*o - o + 2*c = 0, 3*o = -4*c - 8. Let r be -2 + (0 - o/3). Find d such that 0*d**2 + 0*d**3 + 0 + r*d**4 + 0*d - 1/3*d**5 = 0.
0, 2
Suppose 0 = 4*w + 4*w + 192. Let j = w - -24. Determine s so that 1/5*s**2 + j + 1/5*s - 1/5*s**3 - 1/5*s**4 = 0.
-1, 0, 1
Suppose -2*q + q = 0. Suppose 4*j - 2*g + 2 = 0, -5*g + 22 + 3 = q. Factor -2*f + 0*f**j + f**2 + f**2.
2*f*(f - 1)
Let x(k) be the second derivative of -k**5/4 + 5*k**4/3 + 25*k**3/6 - k - 28. What is s in x(s) = 0?
-1, 0, 5
Let y(d) be the third derivative of d**5/270 - d**4/108 - 2*d**3/27 + 510*d**2. Factor y(x).
2*(x - 2)*(x + 1)/9
Let c(q) be the first derivative of q**4/36 + 22*q**3/27 - 23*q**2/18 - 22. Factor c(w).
w*(w - 1)*(w + 23)/9
Let n(x) = -33*x - 4. Let v be n(-2). Find j such that -14*j**3 + 24*j**4 + 8 - v*j**2 - 19*j - j + 5*j - j = 0.
-1, -2/3, 1/4, 2
Let h(y) be the first derivative of -y**3/7 - 39*y**2/14 - 90*y/7 + 39. Factor h(g).
-3*(g + 3)*(g + 10)/7
Let f = -628 + 1259/2. Find t, given that -f*t**2 + 6 + 6*t - 3/2*t**3 = 0.
-2, -1, 2
Let x(j) be the first derivative of 7*j**6/6 + 23*j**5/5 + 13*j**4/4 - 19*j**3/3 - 10*j**2 - 4*j + 187. Determine v, given that x(v) = 0.
-2, -1, -2/7, 1
Let w be -6*(-4)/(-90)*48/(-32). Factor -4/5*n + 0 - 6/5*n**2 - w*n**3.
-2*n*(n + 1)*(n + 2)/5
Let h = 1/9 - 0. Let j = 13/36 - h. Factor -j - 1/2*g - 1/4*g**2.
-(g + 1)**2/4
Suppose -7*m = -3*m + 28. Let p be (m/(-2))/(1/2). Factor p - 4*d**2 - 1 - 2.
-4*(d - 1)*(d + 1)
Let u(t) be the third derivative of -t**10/75600 - t**9/30240 - 5*t**5/12 - t**2. Let h(r) be the third derivative of u(r). Factor h(k).
-2*k**3*(k + 1)
Let y = -1118 - -1118. Let r(c) = 3*c. Let t be r(1). Solve y + 0*g - 4/5*g**t + 4/5*g**2 = 0 for g.
0, 1
Let d(p) be the first derivative of -2*p**3/21 + 12*p**2/7 - 72*p/7 - 104. Factor d(k).
-2*(k - 6)**2/7
Let p(u) be the second derivative of -2*u**6/15 + 19*u**5/20 - 9*u**4/4 + 4*u**3/3 + 2*u**2 + 129*u. Determine c, given that p(c) = 0.
-1/4, 1, 2
Factor -58/7*i - 60/7 + 2/7*i**2 + 8/7*i**3.
2*(i - 3)*(i + 2)*(4*i + 5)/7
Let z(p) = p**3 + 2*p**2 - 78*p - 14. Let d be z(8). Let 3/5*b - 3/5*b**d + 0 = 0. Calculate b.
0, 1
Let c = 111823/205029 - -1/18639. Suppose 0 - 2/11*j**4 - c*j**2 + 8/11*j**3 + 0*j = 0. What is j?
0, 1, 3
Let n be (-24)/(-36) + (263/(-6))/(-1). Let p = n - 38. Solve 8*x**4 - 2 + p*x**3 + 2*x**5 - 13/2*x**2 - 8*x = 0.
-2, -1/2, 1
Let r(f) be the third derivative of f**8/336 - f**7/105 - f**6/40 + f**5/15 + f**4/6 - 12*f**2. Solve r(b) = 0 for b.
-1, 0, 2
Let h be (-39*4/(-4))/3. Let z = h - 38/3. Factor -1/3*g**5 + 0*g + 1/3*g**3 + 1/3*g**4 - z*g**2 + 0.
-g**2*(g - 1)**2*(g + 1)/3
Let t(u) be the first derivative of -1/3*u - 1/30*u**5 - 21 - 1/24*u**4 + 1/6*u**3 + 1/12*u**2. Factor t(r).
-(r - 1)**2*(r + 1)*(r + 2)/6
What is a in 4 - 20/3*a + 3*a**4 - 17/3*a**2 + 8*a**3 = 0?
-3, -1, 2/3
Let g(w) be the second derivative of 3*w**5/50 - w**4/3 - 9*w**3/5 + 2*w**2 + 9*w. Solve g(m) = 0 for m.
-2, 1/3, 5
Let r(k) be the second derivative of k**7/14 + 4*k**6/15 - 5*k**4/6 - k**3/2 + k**2 - 3*k + 10. Determine x, given that r(x) = 0.
-2, -1, 1/3, 1
Let z(y) be the second derivative of 0 + 2*y - 5/36*y**4 - 1/6*y**3 + 3/2*y**2 - 1/60*y**5. Suppose z(o) = 0. Calculate o.
-3, 1
Let b(w) be the second derivative of w**5/80 - w**4/4 + 2*w**3 - 8*w**2 - 18*w + 4. Solve b(p) = 0 for p.
4
Let u(y) be the second derivative of y**5/5 + 8*y**4/3 + 8*y**3 - 2*y