 -98 + w. What is z in -y*z - 2/3*z**2 - 4/3 = 0?
-2, -1
Let x(r) be the third derivative of r**7/15120 + 7*r**6/4320 - r**5/90 + 5*r**4/12 - 25*r**2. Let o(f) be the second derivative of x(f). Solve o(t) = 0 for t.
-8, 1
Suppose 3*j + 4*s = 29, 5*j - s = 2*s. Factor 10 + 4 - j*o**2 + 3*o + 4.
-3*(o - 3)*(o + 2)
Let w(o) = -2*o**2 + 18*o + 5. Let n be w(9). Factor -89*l + 4 - l**2 + 81*l + n*l**2.
4*(l - 1)**2
Let k(u) = 17 + u**2 + 3*u - 17 + u**3. Let y be k(0). Factor 0 + y*l - 1/5*l**3 + 2/5*l**4 - 2/5*l**2 + 1/5*l**5.
l**2*(l - 1)*(l + 1)*(l + 2)/5
Suppose -4*l + s + 10 = 0, -l - 2*l = 4*s - 36. Find g such that 4/5*g**l + 1/5*g**5 + 4/5*g**2 + 0 + 6/5*g**3 + 1/5*g = 0.
-1, 0
Let r = 325 + -323. Let f(v) be the first derivative of -14/3*v**3 - 3*v**r - 5/2*v**4 - 2/5*v**5 - 10 + 0*v. Suppose f(k) = 0. Calculate k.
-3, -1, 0
Let f(d) be the first derivative of -d**7/5460 + d**6/1170 - 10*d**3/3 + 12. Let q(y) be the third derivative of f(y). Factor q(g).
-2*g**2*(g - 2)/13
Let o(v) be the second derivative of -10/3*v**4 + 0 + 50/3*v**3 + 4/15*v**5 - 6*v - 125/3*v**2. Factor o(p).
2*(2*p - 5)**3/3
Factor 2/13*c**4 + 240/13*c**3 + 6704/13*c**2 - 29760/13*c + 30752/13.
2*(c - 2)**2*(c + 62)**2/13
Let d(f) be the second derivative of -1/42*f**4 + 0 + 25*f - 25/7*f**2 - 10/21*f**3. Factor d(m).
-2*(m + 5)**2/7
Suppose -135*s - 15 = -138*s. Let c(x) be the first derivative of 0*x**3 + 1/20*x**4 + 8 + 0*x**2 + 1/30*x**6 - 2/25*x**s + 0*x. Let c(q) = 0. Calculate q.
0, 1
Suppose -3 = 3*k, -204*s + 2*k + 11 = -201*s. Determine x so that 11*x**2 - 33/2*x**s + 5/4*x**4 + 0 - 2*x + 25/4*x**5 = 0.
-2, 0, 2/5, 1
Let q be ((-4)/(-84))/(1/3) + (-1)/(-7). Factor 8/7*j - q*j**3 + 2/7*j**4 + 0 - 8/7*j**2.
2*j*(j - 2)*(j - 1)*(j + 2)/7
Suppose 5 = -5*b, 2*x = -4*b - 5 + 7. Suppose 3*m**3 - x*m**5 + m**5 + 3*m**4 - 5*m**4 - 4*m + 4*m**2 + m**5 = 0. What is m?
-2, 0, 1
Let h(b) = 2*b**3 + 21*b**2 - 22*b + 9. Let y be h(-11). Factor y*a - 269 - 576 + a**2 - 6*a**2.
-5*(a - 13)**2
Let j be (-4)/(-6)*3*2. Suppose g + 4 = -g + 4*a, a - 10 = -j*g. Factor 3*r**2 + 2*r**g + 2*r**5 - 3*r**2 + 2*r**3 - 4*r**3 - 2*r**4.
2*r**2*(r - 1)**2*(r + 1)
Let l = -69049/2 + 34525. Determine r, given that -1/2*r**4 - 3/4*r + r**2 - 3/4*r**5 + 3/2*r**3 - l = 0.
-1, -2/3, 1
Let k(r) = -r - 4. Let l = -24 - -15. Let f be k(l). Solve -f*v - v - v**3 + 4*v + 3*v**2 + 0*v = 0.
0, 1, 2
Let a(t) be the third derivative of -t**7/630 + 5*t**6/72 + 3*t**5/20 - 25*t**4/72 - 13*t**3/9 + 100*t**2 + 3*t. Factor a(k).
-(k - 26)*(k - 1)*(k + 1)**2/3
Let b(h) be the third derivative of h**6/40 + h**5/20 - h**4 - 6*h**3 + 2*h**2 - 127. Factor b(s).
3*(s - 3)*(s + 2)**2
Let v(q) be the first derivative of q**6/36 - 17*q**4/12 - 16*q**3/3 - 21*q**2/4 + 219. Factor v(g).
g*(g - 7)*(g + 1)*(g + 3)**2/6
Determine l, given that 29/3*l - 14/3 - 2/3*l**2 = 0.
1/2, 14
Factor 99/4*q**2 - 84*q + 48 + 21/2*q**3 + 3/4*q**4.
3*(q - 1)**2*(q + 8)**2/4
Factor 2/5*d**2 - 168/5 - 2*d.
2*(d - 12)*(d + 7)/5
Let r = 21224/3 + -7072. Determine s so that -8/3*s**4 + 2*s**5 - r*s**3 - 4/3 + 4*s**2 + 2/3*s = 0.
-1, -2/3, 1
Determine t, given that -1/4 + 3/4*t**4 - 1/2*t**2 + t**3 - t = 0.
-1, -1/3, 1
Suppose 16 = -2*g + 20. Factor 23*j - j**g - 41*j + 20*j + 3.
-(j - 3)*(j + 1)
Let l be -4*(1 + 3/(-2)). Factor 4*b + 11*b**3 - b**2 + 5*b**3 - 12*b**l - 6*b**4 - b**2.
-2*b*(b - 1)**2*(3*b - 2)
Let v(h) be the first derivative of -h**6/24 + h**5/20 + 3*h**4/8 + h**3/6 - 5*h**2/8 - 3*h/4 - 77. Factor v(s).
-(s - 3)*(s - 1)*(s + 1)**3/4
Factor 2/3 - 2/9*m + 2/9*m**3 - 2/3*m**2.
2*(m - 3)*(m - 1)*(m + 1)/9
Let s be (6/4)/(6 + 11*(-1)/2). Suppose v**s - 1/2*v + 1/2*v**4 - v**2 + 1/2 - 1/2*v**5 = 0. What is v?
-1, 1
Let d(p) be the third derivative of 4*p**2 + 0*p + 2/7*p**3 + 1/56*p**4 - 3/140*p**5 + 0. Factor d(z).
-3*(z + 1)*(3*z - 4)/7
Let h = -1408 - -5635/4. Factor 1/4*z**4 + 0 + 1/4*z**5 - h*z**3 - 1/4*z**2 + 1/2*z.
z*(z - 1)**2*(z + 1)*(z + 2)/4
Let i(u) be the first derivative of u**4/10 + 68*u**3/15 + 273. Factor i(h).
2*h**2*(h + 34)/5
Suppose -2*k - 3*x + 462 = x, x = -4. Let q = k + -237. Solve -2*w**5 - 4*w**3 + 0 + 2/3*w + 0*w**q + 16/3*w**4 = 0.
-1/3, 0, 1
Let s = 5361 - 26793/5. Let -3*g - 3/5*g**3 + s*g**2 + 6/5 = 0. Calculate g.
1, 2
Let t(c) = 4*c**2 + c. Let y be t(-1). Determine n so that -6*n + 4*n**3 - 4*n - 5*n**2 + n**y = 0.
-1, 0, 2
Suppose 2*i + 4*t = 26, 0 = -0*t + t - 5. Suppose 0 = i*s + s. Factor s*m + 2*m + m**2 - 3*m**2.
-2*m*(m - 1)
Let d = 134 + -128. Suppose 5*q = -4*o, 5*q = o - d*o. Let -4/5*l**2 - 2/5*l + q - 2/5*l**3 = 0. What is l?
-1, 0
Factor -3/2 - 1/4*j**2 - 5/4*j.
-(j + 2)*(j + 3)/4
Let y(c) be the second derivative of c**7/1050 - c**6/300 + c**5/300 - 11*c**2 + 2*c. Let t(j) be the first derivative of y(j). What is a in t(a) = 0?
0, 1
Let t be (12/7)/((-882)/(-1470)). Determine u, given that 20/7*u**3 + 2/7 + 2/7*u**5 + 10/7*u**4 + 10/7*u + t*u**2 = 0.
-1
Let r(m) be the third derivative of 0*m - 1/30*m**6 + 2/3*m**4 + 0 - 9*m**2 + 2/15*m**5 - 16/3*m**3. Factor r(t).
-4*(t - 2)**2*(t + 2)
Factor -16*u**2 + 21*u**3 + 20*u - 14*u**3 - 11*u**3.
-4*u*(u - 1)*(u + 5)
Factor 6*k**4 + 3/2*k**3 + 0 - 9/2*k**5 + 0*k - 3*k**2.
-3*k**2*(k - 1)**2*(3*k + 2)/2
Let a(f) be the third derivative of 0*f**3 + 1/8*f**4 + 0*f + 14*f**2 + 1/20*f**5 + 0. Let a(i) = 0. What is i?
-1, 0
Let z(u) be the first derivative of -1/20*u**5 + 1 + 1/2*u + 3/16*u**4 - 1/12*u**3 - 3/8*u**2. Factor z(v).
-(v - 2)*(v - 1)**2*(v + 1)/4
Let z = -14/3 + 5. Let u(o) be the third derivative of 0*o - 8/3*o**3 + z*o**4 + 4*o**2 - 1/60*o**5 + 0. Suppose u(d) = 0. Calculate d.
4
Let s(g) be the first derivative of g**6/36 + g**5/10 - 7*g**4/24 - 7*g**3/18 + 3*g**2/2 - 4*g/3 + 180. Factor s(j).
(j - 1)**3*(j + 2)*(j + 4)/6
Let v(c) = -13*c**2 + 832*c - 21642. Let a(t) = 19*t**2 - 1248*t + 32462. Let h(n) = 5*a(n) + 7*v(n). Factor h(r).
4*(r - 52)**2
Let u(c) be the third derivative of 0*c - 1/336*c**8 - 44*c**2 - 1/3*c**5 + 0*c**3 - 1/3*c**4 + 0 - 1/30*c**7 - 3/20*c**6. Factor u(v).
-v*(v + 1)*(v + 2)**3
Solve -1/2 - 2/5*t + 1/10*t**2 = 0.
-1, 5
Let i(a) be the third derivative of -a**6/720 - 11*a**5/36 + 3*a**2 - 104*a. Factor i(q).
-q**2*(q + 110)/6
Let o(u) be the first derivative of -5*u**4/4 - 25*u**3/3 - 566. Factor o(j).
-5*j**2*(j + 5)
Let y = -3536 - -3539. Factor 2/5*l**y - 8/5*l + 8/5 - 2/5*l**2.
2*(l - 2)*(l - 1)*(l + 2)/5
Suppose 3*o + 2*v - 76 = 7*v, -3*o + 64 = v. Determine z so that -z**2 - 18*z + o - 103 - 6*z + 6*z = 0.
-9
Let 0 + 15*g**2 - 40*g + 5/2*g**3 = 0. Calculate g.
-8, 0, 2
Let q = 2381 - 16666/7. Let 15/7*f**3 - 2/7*f + 0 + 19/7*f**4 + q*f**2 + f**5 = 0. What is f?
-1, 0, 2/7
Let u(t) be the second derivative of t**9/120960 + t**8/13440 + t**7/5040 + 3*t**4 + 8*t. Let p(l) be the third derivative of u(l). Suppose p(w) = 0. What is w?
-2, 0
Let w(x) be the second derivative of 13*x**4/3 - 256*x**3/3 - 40*x**2 - 2*x + 7. Factor w(p).
4*(p - 10)*(13*p + 2)
Let s(c) = -8*c**3 + 9*c**2 - 9*c + 8. Let l be (-3)/(-4) + 126/(-72). Let w(i) = i**3 - 1. Let n(r) = l*s(r) - 5*w(r). Solve n(z) = 0 for z.
1
Let w(l) be the first derivative of l**3/2 + 75*l**2/4 + 36*l + 27. Factor w(x).
3*(x + 1)*(x + 24)/2
Let n(i) = i**3 + 4*i**2 - 7*i - 6. Let j be n(-5). Suppose 19 = 5*v + 3*c, -j*v + 8 = 4*c - 4. Factor 3*y**2 + 0*y**v - 3*y**4 + 3*y**3 + 0*y**5 - 3*y**5.
-3*y**2*(y - 1)*(y + 1)**2
Suppose -2*q - 14 = -s - 22, -4*q - 5*s + 2 = 0. Solve 2/3*f**2 + 4/3*f**q - 4/3*f - 2/3*f**4 + 0 = 0.
-1, 0, 1, 2
Let y(m) be the first derivative of 12*m**5/95 + 7*m**4/38 + 2*m**3/57 - 83. Solve y(o) = 0 for o.
-1, -1/6, 0
Let u(d) = -3*d**2 + 9*d. Let v(g) = -6*g + 3*g**2 + 7*g - 10*g + 0 + 1. Let m(o) = 5*u(o) + 6*v(o). Factor m(c).
3*(c - 2)*(c - 1)
Let y be (-2 + -1)*(-4)/6. Suppose -y*i - 6 = -12. Factor h**i + 2*h**3 + 4*h**4 + 0*h**4 - h**2.
h**2*(h + 1)*(4*h - 1)
Let d(w) be the first derivative of 2*w**5/85 + 15*w**4/17 + 42. Solve d(o) = 0.
-30, 0
Let n = 833 + -833. Let v(f) be the third derivative of -1/210*f**6 + 0*f**4 + 2/105*f**5 + 0 + 9*f**2 + n*f + 0*f**3. Find t such that v(t) = 0.
0, 2
Let h(u) be the third derivative of u**8/336 - u**7/70 - 3*u**6/20 + 43*u**5/30 - 37*u**4/8 + 15*u**3/2 - 44*u**2. Find q, 