 = 5*l + 527. Let g = y - 166. Find t such that -g - 3*t - 3/4*t**2 = 0.
-2
Let k = -6 - -6. Let x = 1173 - 5863/5. Suppose 6/5*w - x*w**2 + k = 0. Calculate w.
0, 3
Let r(b) be the first derivative of -b**4/4 - 7*b**3/2 + 3*b**2 + 11*b/2 + 130. Suppose r(n) = 0. Calculate n.
-11, -1/2, 1
Let q(c) be the first derivative of 0*c**2 - 29 + 5/3*c**3 - 5*c. Factor q(r).
5*(r - 1)*(r + 1)
Let o be (-14)/10*475/(-171). Let i = o - 5/9. Factor 2/3*h**3 + 4/3 + 8/3*h**2 + i*h.
2*(h + 1)**2*(h + 2)/3
Let f(c) be the second derivative of -10/3*c**3 + 0 + 7*c + 0*c**2 + 5/12*c**4. Determine b, given that f(b) = 0.
0, 4
Suppose 2*t - 5*t = -5*v - 24, v = 3*t. Let m be (2/v)/(5/(-180)). Factor 0 + 7 + m*z + 5 + 3*z**2.
3*(z + 2)**2
Let f(i) be the second derivative of -i**6/45 - 9*i**5/40 - 37*i**4/72 - i**3/4 + 5*i**2/12 + 200*i. Let f(k) = 0. What is k?
-5, -1, 1/4
Let o(h) be the first derivative of -h**7/14 + h**6/10 + 3*h**5/20 - h**4/4 - 6*h - 8. Let k(f) be the first derivative of o(f). Determine l so that k(l) = 0.
-1, 0, 1
Let k be 262/86 - (-560)/(-12040). Factor 3/5*b**k + 0 - 3/5*b + 3/5*b**4 - 3/5*b**2.
3*b*(b - 1)*(b + 1)**2/5
Let y(z) = -5*z + 3*z - 3*z**2 + z**2 - 1 + 4*z**2. Let n be y(-1). Factor -6*o - 23*o**3 + 35*o**n + 3*o**4 - 3*o**2 + 6*o**4.
3*o*(o + 1)**2*(3*o - 2)
Suppose 4*q - 4 = -5*r, 0 = -3*q - 3*r - 0 + 3. Let d be (-2 - q)/((-9)/30). What is t in 5*t**2 + 8 - d*t - 9*t**2 + 2*t + 6*t**2 = 0?
2
Let u(j) be the second derivative of -2*j + 1/22*j**2 - 1/55*j**5 + 2/33*j**3 + 0 - 1/132*j**4. Let u(d) = 0. Calculate d.
-1, -1/4, 1
Let k be (-6)/4 - (-44)/8 - 1. Suppose -32*z - 9*z**3 + 48*z**2 + 16 - 24*z**2 + z**4 + z**k = 0. Calculate z.
2
Suppose 26 = 3*y + 20. Suppose -k = 4*s - 6 + 5, -5*k + 5 = y*s. Factor s*n + 0*n**2 + 3/2*n**4 - n**3 + 0.
n**3*(3*n - 2)/2
Factor -18*l - 9*l**3 + 3/2*l**4 + 39/2*l**2 + 6.
3*(l - 2)**2*(l - 1)**2/2
Let w(u) = 190*u**3 + 405*u**2 - 2215*u + 1565. Let t(d) = 7*d**3 + 15*d**2 - 82*d + 58. Let a(k) = -55*t(k) + 2*w(k). Factor a(p).
-5*(p - 2)*(p - 1)*(p + 6)
Let p(x) be the first derivative of 5*x**4/8 + 205*x**3/3 + 2200*x**2 + 8000*x + 1061. Determine g so that p(g) = 0.
-40, -2
Let a be 6/27 + (-7)/(693/4). Determine r, given that 2/11*r**2 + 0 - a*r = 0.
0, 1
Let n(o) be the first derivative of 5*o**6/2 - 7*o**5 - 55*o**4/4 + 25*o**3 - 54. Find d, given that n(d) = 0.
-5/3, 0, 1, 3
Let l(t) be the third derivative of -t**6/40 + 11*t**5/20 + t**4/8 - 11*t**3/2 - t**2 - 179*t. Find h such that l(h) = 0.
-1, 1, 11
Factor -8*g**2 + 2*g**2 + 41*g - 6*g**2 - 2*g**3 - 13*g - 14*g.
-2*g*(g - 1)*(g + 7)
Factor 148/5*o**2 - 64/15*o**3 + 1088/15*o + 2/15*o**4 + 578/15.
2*(o - 17)**2*(o + 1)**2/15
Let l be (228/(-1425))/(8/(-20)). Factor -9/5*q**2 - 7/5*q + l.
-(q + 1)*(9*q - 2)/5
Suppose -59*k = 39*k - 196. Let f(u) be the second derivative of 0 - 1/48*u**4 - 1/24*u**3 + 0*u**k - 13*u. Factor f(q).
-q*(q + 1)/4
Factor -2*q**3 - 25*q - 10*q - 8*q + q**3 + 76*q - 32*q**2.
-q*(q - 1)*(q + 33)
Let u = 22175 + -22173. Factor 0 + 0*b + 1/11*b**u.
b**2/11
Let a(i) be the second derivative of i**5/5 + 101*i**4/6 - 17*i**3 + i - 103. Solve a(c) = 0 for c.
-51, 0, 1/2
Solve -2/11*l**2 + 14/11*l + 36/11 = 0 for l.
-2, 9
Let a be 18/(-14) + 1/(7/2). Let t be (0 - (-2 - 4)) + a. Find k, given that 2/5*k + 8/5*k**2 + 0 - 6/5*k**t + 4/5*k**3 - 8/5*k**4 = 0.
-1, -1/3, 0, 1
Let j(x) be the first derivative of 10*x**4 + 12*x**3 - 2*x**2 - 3. Suppose j(i) = 0. What is i?
-1, 0, 1/10
Let v = 761/120 + -147/40. Factor 8/3*g + 2*g**2 - 2/3*g**4 - 4/3*g**3 - v.
-2*(g - 1)**2*(g + 2)**2/3
Factor 0 + 0*b - 118*b**3 + 363/2*b**4 - 2*b**2.
b**2*(3*b - 2)*(121*b + 2)/2
Let w(y) = -13*y - 19*y + 29*y + 7 + 2. Let f be w(2). Factor 4/3*s + 1/3*s**f + 0 + 4/3*s**2.
s*(s + 2)**2/3
Factor 108 + 3/5*f**3 + 51/5*f**2 + 288/5*f.
3*(f + 5)*(f + 6)**2/5
Let g(p) = 6*p**4 - 48*p**3 - 102*p**2 + 1224*p - 1080. Let t(u) = -4*u**4 + 32*u**3 + 68*u**2 - 816*u + 720. Let a(x) = -5*g(x) - 7*t(x). Solve a(h) = 0 for h.
-5, 1, 6
Factor 16/5*m**2 - 2/5*m**3 - 34/5*m + 4.
-2*(m - 5)*(m - 2)*(m - 1)/5
Find q, given that 8/13 - 18/13*q**4 - 14/13*q**2 + 24/13*q - 48/13*q**3 = 0.
-2, -1, -1/3, 2/3
Let l(h) = -11*h**2 + 197*h - 201. Let j(p) = -17*p**2 + 395*p - 403. Let f(x) = 3*j(x) - 5*l(x). Let f(d) = 0. Calculate d.
-51, 1
Let x(z) be the first derivative of 0*z - z**4 - 4/3*z**3 + 0*z**2 - 1/5*z**5 - 4. Factor x(h).
-h**2*(h + 2)**2
Suppose 17 = -2*l + 43. Let m = l - 7. Factor -3*a + 0*a + m*a**2 - 6 + 0*a + 3*a**3.
3*(a - 1)*(a + 1)*(a + 2)
Suppose 0*v + 3*v = 0. Let r be v - -1*(1 + 2). Solve 2*i**r + i**4 - i**5 - 5*i**4 + 2*i**4 + i**4 = 0 for i.
-2, 0, 1
Let -208*k + 8*k**3 - 160 + 2*k**4 + 403*k**2 + 404*k**2 - 849*k**2 = 0. What is k?
-4, -1, 5
Let d(c) be the third derivative of c**5/270 - 31*c**4/54 + 40*c**3/9 - 31*c**2 + c. Factor d(w).
2*(w - 60)*(w - 2)/9
Let l be -3 - -2 - 62/(-465)*1*20. Solve -4/3*n**2 - 2*n**3 - 1/3*n**5 + 8/3*n + l*n**4 + 0 = 0.
-1, 0, 2
Let h(u) be the first derivative of u**4/32 + 5*u**3/4 - 33*u**2/16 - 31*u/4 - 417. Factor h(w).
(w - 2)*(w + 1)*(w + 31)/8
Suppose 3*a + 796 = 4*o, 772 = -0*o + 4*o + 3*a. Let t = o - 1370/7. Solve 10/7*q**3 - 4/7 - t*q**4 - 18/7*q**2 + 2*q = 0 for q.
1, 2
Let f(s) = 20*s**3 + 16*s**2 - 18*s. Let n(t) = 7*t**3 + 5*t**2 - 6*t. Suppose -8*d - 2 = -9*d. Let b(z) = d*f(z) - 7*n(z). Factor b(g).
-3*g*(g + 1)*(3*g - 2)
Let a(w) be the second derivative of 4/7*w**2 + 0 - 1/105*w**6 + 4/21*w**3 - 1/14*w**4 + 7*w - 2/35*w**5. Let a(q) = 0. What is q?
-2, -1, 1
Let m(a) = a**2 - 1. Let s(u) = 2*u**2 - u - 2. Let r(w) = 3*m(w) - s(w). Let n(t) = 5*t**2 + 7*t - 14. Let d(p) = n(p) - 4*r(p). Factor d(k).
(k - 2)*(k + 5)
Find b such that 127*b**2 - 540*b - 30*b**3 + 5*b**4 + 143*b**2 + 12*b**3 - 42*b**3 + 405 = 0.
3
Let u(g) be the third derivative of g**5/450 + g**4/36 + 4*g**3/45 + 2*g**2 - 145. What is s in u(s) = 0?
-4, -1
Let g(u) be the second derivative of u**5/150 + u**4/6 + 5*u**3/3 - 7*u**2 + 12*u. Let f(s) be the first derivative of g(s). Suppose f(p) = 0. What is p?
-5
Factor 15/2*l + 3/4*l**2 + 12.
3*(l + 2)*(l + 8)/4
Let v(f) be the first derivative of 0*f**3 - 1/100*f**5 + 0*f + 5/2*f**2 + 1 - 1/20*f**4. Let c(n) be the second derivative of v(n). Factor c(l).
-3*l*(l + 2)/5
Suppose 3*f - 2*b = -12, 5*f + 155*b - 153*b = 12. Factor 5/2*i**2 + 5/2*i**3 - 5*i + f.
5*i*(i - 1)*(i + 2)/2
Let d(c) be the second derivative of -1/6*c**3 - 2*c + 0 - 7/240*c**5 - 5/2*c**2 - 1/6*c**4. Let g(m) be the first derivative of d(m). Factor g(f).
-(f + 2)*(7*f + 2)/4
Let d(o) = 157*o - 1880. Let w be d(12). Find k, given that 3/5*k**2 + 1/5*k + 3/5*k**3 + 0 + 1/5*k**w = 0.
-1, 0
Let b = -766743/17 - -45103. Solve -4/17*m**2 + 16/17 + b*m - 2/17*m**3 = 0 for m.
-2, 2
Factor 260*c**4 - 1372 + 94*c**3 - 256*c**4 + 784*c - 14*c**3 + 504*c**2.
4*(c - 1)*(c + 7)**3
Let g be 0/(-5 + 3 + 3). Let a = -13/9 - -5/3. Factor g + 2/9*y**2 - a*y.
2*y*(y - 1)/9
Let m(p) = 26*p**3 - 15*p + 11. Let j(u) = 13*u - 10 + 2*u**3 + 2*u - 27*u**3. Let v(o) = -6*j(o) - 5*m(o). Factor v(q).
5*(q + 1)*(2*q - 1)**2
Suppose -4/3*f + 1/3*f**4 + 0*f**3 + 4 - 3*f**2 = 0. Calculate f.
-2, 1, 3
Let u(o) be the second derivative of 1/3*o**2 + 7/18*o**3 + 11*o + 0 + 1/12*o**4. Solve u(m) = 0 for m.
-2, -1/3
Suppose 2*n = -59 + 71. Let b(x) be the third derivative of 0*x**3 - x**2 + 0*x**4 + 0 + 1/75*x**5 + 1/300*x**n + 0*x. Factor b(p).
2*p**2*(p + 2)/5
Suppose 3*m - 11 = h - 2*m, -3*m + 13 = h. Suppose 4*o = 3*o + h. Let -4*g + 4*g**5 - 20*g**2 - 4*g - 12*g**3 + g**o + 3*g**4 = 0. What is g?
-1, 0, 2
Let o(a) be the second derivative of 2*a**7/189 + a**6/27 - 11*a**5/45 + 8*a**4/27 + 4*a**3/27 - 5*a**2/9 + 27*a - 3. Find w such that o(w) = 0.
-5, -1/2, 1
Let u(b) = 3*b**3 + 17*b**2 + 12*b + 2. Let d(x) = -48*x**3 - 273*x**2 - 192*x - 33. Let r(l) = 2*d(l) + 33*u(l). Solve r(t) = 0.
-4, -1, 0
Let g(m) be the first derivative of m**3 - 15*m**2/2 + 18*m - 62. Determine i, given that g(i) = 0.
2, 3
Suppose 2*f + 4 = -8. Let x be (f/(-10))/((-1)/(-5)). Suppose -5*n - x*n**4 + 9*n**2 + 0*n**4 - 5 - 1 + 2*n + 3*n**3 = 0. What is n?
-1, 1, 2
Let k(a) be the first derivative of -1/2*a**2 - 1/12*a**3 + 0*a - 39. Factor k(r).
-r*(r + 