 - u**2 + u - 2. Let t(f) = -2*o(f) + r(f). Solve t(q) = 0.
-1, 1
Factor -28*l**3 - 2*l**2 - 48*l + 25*l**3 + 36 + 23*l**2.
-3*(l - 3)*(l - 2)**2
Suppose 1314 = 24*k - 18*k. Let a = -1969/9 + k. Factor 2/9*z + 0 + a*z**2.
2*z*(z + 1)/9
Let r = 59/8 + -55/8. Let m(t) be the first derivative of 1 - 2/3*t - 1/9*t**3 - r*t**2. What is u in m(u) = 0?
-2, -1
Let l(s) = -s - 6. Let n be l(4). Let w be -1 - 2/n - (-57)/15. Determine f so that -2/7 - 2/7*f**5 - 4/7*f**w + 6/7*f - 4/7*f**2 + 6/7*f**4 = 0.
-1, 1
Solve -19/3*t - 2*t**2 + 1/3*t**3 + 8 = 0 for t.
-3, 1, 8
Let s(j) be the second derivative of -j**5/40 - j**4/24 + j**3/2 - 22*j + 3. Factor s(v).
-v*(v - 2)*(v + 3)/2
Let v = -32 + 36. Factor -v*h - 6*h**3 - h**2 - 41*h**4 + 43*h**4 - 9*h**2 + 2*h**5.
2*h*(h - 2)*(h + 1)**3
Let z(q) be the second derivative of q**5/30 - 7*q**4/9 + 44*q**3/9 - 40*q**2/3 - 98*q. Factor z(m).
2*(m - 10)*(m - 2)**2/3
Let w(d) be the second derivative of 0 + 1/300*d**5 + 1/900*d**6 + 13*d + 0*d**4 + 0*d**2 + 13/6*d**3. Let g(s) be the second derivative of w(s). Factor g(p).
2*p*(p + 1)/5
Suppose -529 + 547 = 6*g. Suppose 3/5*j**4 - 6/5*j**g + 12/5 + 12/5*j - 9/5*j**2 = 0. What is j?
-1, 2
Let h(v) = v**3 + 5*v**2 - 4*v - 5. Let n be h(-4). Factor 2 - 6 - 28*b + 4*b**3 + 51*b + 4*b**2 - n*b.
4*(b - 1)*(b + 1)**2
Let m(y) be the first derivative of y**4/2 - 6*y**3 + 6. Factor m(t).
2*t**2*(t - 9)
Factor 0*v**2 + 0*v + 648/19*v**3 + 2/19*v**5 + 0 - 72/19*v**4.
2*v**3*(v - 18)**2/19
Let r(z) be the first derivative of 0*z**2 - 11 + 0*z**3 - 6/85*z**5 + 0*z + 1/17*z**4. Suppose r(h) = 0. Calculate h.
0, 2/3
Find p such that 0*p**2 - 2/13*p**3 + 14/13*p + 12/13 = 0.
-2, -1, 3
Let g(x) = 4*x. Let r be g(1). Let i be (-9 + 0)/(4 - (-72)/(-16)). Let -3*n**2 + i*n + r + 7*n**2 + 2*n**2 - 8*n**3 = 0. Calculate n.
-1, -1/4, 2
Let g(t) be the third derivative of -t**6/72 + 97*t**5/180 + 5*t**4/6 - 449*t**2. Solve g(d) = 0 for d.
-3/5, 0, 20
Let a(l) = 2*l**2 - l - 10. Let i be a(3). Suppose -10 = -10*f + i*f. Let -1/5 - 1/5*m**f + 2/5*m = 0. What is m?
1
Let g = -65713/195 + 337. Let y(x) be the third derivative of 0*x**3 + 1/39*x**4 + 0 - x**2 - g*x**5 + 0*x + 1/780*x**6. Factor y(d).
2*d*(d - 2)**2/13
Suppose 277 = -9*d + 61. Let h be 34/221 + d/(-13). Solve 2/3 + 0*i - 4/3*i**3 - h*i**2 = 0.
-1, 1/2
Let h(p) = 171*p**2 + 381*p - 375. Let a(s) = 17*s**2 + 38*s - 37. Let o(i) = -21*a(i) + 2*h(i). Factor o(f).
-3*(f + 3)*(5*f - 3)
Let v = -1758 - -1760. Factor -2*i**2 + 4/3*i - 2*i**3 - v*i**5 + 14/3*i**4 + 0.
-2*i*(i - 1)**3*(3*i + 2)/3
Let d(z) be the first derivative of -z**6/2 + 3*z**5/5 + 33*z**4/4 - 29*z**3 + 39*z**2 - 24*z + 86. Factor d(a).
-3*(a - 2)*(a - 1)**3*(a + 4)
Let f(b) be the first derivative of -19 + 1/5*b**5 + 8/9*b**3 + 1/3*b + 3/4*b**2 + 1/36*b**6 + 7/12*b**4. Factor f(c).
(c + 1)**4*(c + 2)/6
Let g(n) = 13*n - 27. Let s be g(9). Let y be 2/6 - 10/s. Factor 0*f + y*f**4 + 8/9*f**2 + 8/9*f**3 + 0.
2*f**2*(f + 2)**2/9
Let n(b) be the third derivative of -b**5/12 + 5*b**4/8 + 25*b**3/3 - 72*b**2. Suppose n(f) = 0. Calculate f.
-2, 5
Let q(z) = z**3 + z**2 - z. Let j(r) = -6*r**3 - 82*r**2 - 1515*r - 1444. Let m(n) = -j(n) - 5*q(n). Factor m(h).
(h + 1)*(h + 38)**2
Let t be 20/15*3 + 2. Factor 5*p**3 + 8*p**2 + 6*p**3 - t*p**3 + 17*p**2 + 40*p + 20.
5*(p + 1)*(p + 2)**2
Let z = -146 + 250. Suppose 0 = b + 101 - z. Factor 3/5*c**2 - 3/5*c + 1/5 - 1/5*c**b.
-(c - 1)**3/5
Let q(y) = y**3 + 15*y**2 - 85*y - 1273. Let v be q(-15). Factor 0 + 2/5*m**4 - 4/5*m + v*m**2 - 8/5*m**3.
2*m*(m - 2)*(m - 1)**2/5
Factor -9/8 + 3/2*o - 3/8*o**2.
-3*(o - 3)*(o - 1)/8
Determine n, given that 12667/5*n**3 - 33159/5*n**2 + 81/5*n**5 - 1737/5*n**4 - 1372/5 + 12936/5*n = 0.
2/9, 7
Let j(n) be the first derivative of n**5/4 - 25*n**4/16 - 5*n**3/12 + 25*n**2/8 - 80. Factor j(v).
5*v*(v - 5)*(v - 1)*(v + 1)/4
Suppose -5*b + 5*p = -25, 4*b - 11 = -p + 2*p. Factor -34*u**4 + 5*u**3 + 27*u**4 - 4 - 25*u**b + 16*u + 14*u**3 + u**5.
(u - 2)**2*(u - 1)**3
Let h = 356/9 - 350/9. Let b(o) be the second derivative of -1/24*o**4 + 0 - 4*o**2 + h*o**3 - 2*o. What is j in b(j) = 0?
4
Solve 6/5*r**2 + 14/5*r**3 + 0 - 6/5*r**4 - 2*r**5 - 4/5*r = 0.
-1, 0, 2/5, 1
Let o(u) = -5*u**2 - 204*u. Let z(k) = -15*k**2 - 616*k. Let q(v) = -11*o(v) + 4*z(v). Let q(w) = 0. Calculate w.
-44, 0
Let q(d) be the third derivative of d**7/70 + 5*d**6/8 + 42*d**5/5 + 18*d**4 - d**2. What is h in q(h) = 0?
-12, -1, 0
Suppose 62*h**2 - 96*h**3 + 118*h**2 + 55*h + 4*h**4 - 143*h = 0. Calculate h.
0, 1, 22
Suppose 8*y - 1245 = 131. Suppose -20*u - 5*u**4 - 13*u**3 - 202*u**2 - 5 + y*u**2 - 7*u**3 = 0. What is u?
-1
Factor -7*m - 13*m**2 + 25*m + 2*m**3 + 2*m - m**2 + 0*m**2.
2*m*(m - 5)*(m - 2)
Suppose -2*d + 39 = 3*r, 0*r = -3*r + d + 39. Let z = r - 7. Find j such that -4*j**5 - 4*j**4 + z*j + 4 + 2*j**5 + 4*j**3 + 8*j + 16*j**2 = 0.
-1, 2
Let t = -79 + 138. Suppose -4*g + t = 3*z, -z + 19 = g + 4*z. Factor 0*h - 3*h - h - g*h**2 + 12*h**2.
-2*h*(h + 2)
Factor -6 + 154*o + 9*o**2 + 4*o**2 - 259*o + 128*o.
(o + 2)*(13*o - 3)
Let f(o) = 3*o**2 + 8*o + 5. Let u(x) be the first derivative of 6*x + 1 + 9/2*x**2 + x**3. Let v(z) = -6*f(z) + 5*u(z). Find r, given that v(r) = 0.
-1, 0
Let p(u) = -12*u**2 - 20*u. Let m(k) = k**3 - 48*k**2 - 81*k. Let d(y) = -2*m(y) + 9*p(y). Let d(h) = 0. What is h?
-3, 0
Factor -44*z + 2*z**2 - 694 - 743 + 1391.
2*(z - 23)*(z + 1)
Let b(v) be the third derivative of -1/36*v**4 + 0 - 1/180*v**5 + 0*v + 17*v**2 + 1/6*v**3. What is n in b(n) = 0?
-3, 1
Let n = -244/7 - -35. Let y(m) be the second derivative of 0*m**2 + 9*m + 2/105*m**6 + 8/21*m**3 + n*m**5 + 8/21*m**4 + 0. Let y(t) = 0. Calculate t.
-2, -1, 0
Suppose 2*y = 15 + 1. Suppose 4*o - 6*o = -y. Factor 6*t - 2*t**5 + 2 - 6*t**o - 7*t**3 + 4*t**2 - 3*t**5 + 3*t**5 + 3*t**3.
-2*(t - 1)*(t + 1)**4
Let s(h) be the second derivative of -29*h - 3/140*h**5 - 1/70*h**6 + 0*h**3 + 0*h**4 + 0*h**2 + 0. Factor s(r).
-3*r**3*(r + 1)/7
Let k(b) be the third derivative of b**6/2340 - b**5/156 + b**4/39 + 5*b**3 - 24*b**2. Let c(i) be the first derivative of k(i). Solve c(d) = 0 for d.
1, 4
Let h(i) = 2*i**4 - 18*i**3 + 74*i**2 + 156*i + 80. Let s(o) = -o**4 + o**3 - o**2. Let y(q) = h(q) + 6*s(q). Solve y(d) = 0 for d.
-5, -1, 4
Let x = 65/2 + -32. Let t = 3/11 - -49/22. Let x*b**2 + 0 - 13/2*b**4 - b + t*b**5 + 9/2*b**3 = 0. Calculate b.
-2/5, 0, 1
Let x be 2*(-2)/2 + -4. Let p(b) = b**2 + 7*b + 8. Let t be p(x). Find j, given that 1/4*j**t + 0*j + 0 = 0.
0
Let q be 3/(3/2) + 0. Let v = 28907 - 28907. Factor 3/7*z**q - 1/7*z**3 + 0 + v*z.
-z**2*(z - 3)/7
Let a(p) = -p. Let s be ((-24)/(-1))/(6/(-4)). Let d = -15 - s. Let u(i) = -3*i**3 + 6*i**2 - 2*i. Let x(o) = d*u(o) + a(o). Factor x(m).
-3*m*(m - 1)**2
Let v(d) = -18*d**3 + 71*d**2 - 56*d - 19. Let t(j) = 90*j**3 - 354*j**2 + 280*j + 94. Let i(l) = -6*t(l) - 28*v(l). Factor i(x).
-4*(x - 2)**2*(9*x + 2)
Let k be 1 + -5 - -25971*(-2)/26. Let f = 2003 + k. Factor 0 - 14/13*w**2 - f*w**3 - 6/13*w**4 - 4/13*w.
-2*w*(w + 1)**2*(3*w + 2)/13
Let r(g) = g**2 + g - 3. Let v(l) = 7*l**2 - 10*l - 104. Let w(b) = -40*r(b) + 5*v(b). Factor w(f).
-5*(f + 8)*(f + 10)
Let z(u) = u**5 + u**2 + u. Let r(v) = -3*v**5 - 4*v**4 + 6*v**3 - 8*v**2 - 3*v. Let o(c) = r(c) + 4*z(c). Factor o(l).
l*(l - 1)**4
Let b(u) = -u**3 - 25*u**2 + 4*u + 103. Let h = 40 + -65. Let s be b(h). Factor -2*n**4 - 8/9 + 4/3*n**s + 22/9*n**2 - 8/9*n.
-2*(n - 1)**2*(3*n + 2)**2/9
Let n(m) be the second derivative of m**6/120 + 3*m**5/40 + m**4/12 - m**3/4 - 5*m**2/8 - 156*m. Factor n(v).
(v - 1)*(v + 1)**2*(v + 5)/4
Let u = -454 + 456. Let q(o) be the second derivative of 2*o - 1/20*o**5 + 11/36*o**4 + 2/3*o**u - 2/3*o**3 + 0. Solve q(c) = 0 for c.
2/3, 1, 2
Let b(u) be the first derivative of -1/5*u**5 + 9 + 0*u + 4*u**2 + 3/2*u**4 - 4*u**3. Find s such that b(s) = 0.
0, 2
Factor 0 + 9/5*j + 3/5*j**3 - 3*j**2 + 3/5*j**4.
3*j*(j - 1)**2*(j + 3)/5
Find w such that 1/2*w**5 - 5/2*w**4 + 3*w**3 + w**2 + 3/2 - 7/2*w = 0.
-1, 1, 3
Suppose -48*w + 51*w = 6. Let a(s) be the first derivative of -1/5*s**w + 1/10*s**4 + 0*s - 2/25*s**5 + 2/15*s**3 + 5. Solve a(g) = 0 for g.
-1, 0, 1
Let i(v) be the third derivative of 1/64*v**4 + 1/448*v**8 - 1/80