2658*l - 4546*l - 70304 - 452*l**2 + 4*l**3.
4*(l - 26)**3
Determine y, given that -314/9*y**4 + 834*y**2 + 2/3*y**5 - 324*y + 0 + 3830/9*y**3 = 0.
-2, 0, 1/3, 27
Let l be 4/38 + 2200/760. Let q(z) be the first derivative of 4*z**2 + 6*z - z**4 - 4 - 2/3*z**l. Solve q(i) = 0.
-1, 3/2
Let j = 21507 + -21504. Factor 20/3 + 5/3*i**j + 40/3*i + 25/3*i**2.
5*(i + 1)*(i + 2)**2/3
What is s in 0 + 0*s - 10/7*s**3 + 6/7*s**5 - 4/7*s**2 + 8/7*s**4 = 0?
-2, -1/3, 0, 1
Let l be (0 - 0)/(216/72)*-1. Let b(d) be the third derivative of -5*d**2 + 3/8*d**4 + l + 0*d + 0*d**5 - 1/40*d**6 - d**3. Factor b(w).
-3*(w - 1)**2*(w + 2)
Let s(u) = 2*u - 10. Let c be s(8). Suppose 0 = 4*y - m - 2*m - 23, -2*m - c = 2*y. What is b in -5 + 2 + 4*b - 12*b**2 + 7*b**y + 4*b**2 = 0?
1, 3
Let t(j) be the first derivative of j**4/3 - 4*j**3/3 - 6*j**2 + 10*j - 4. Let u(h) be the first derivative of t(h). Factor u(v).
4*(v - 3)*(v + 1)
Determine c, given that 24*c - 45 - 3/4*c**2 = 0.
2, 30
Let z(g) = -2*g**3 + 2*g**2 + 4*g + 3. Let j(r) = -5*r**3 + 7*r**2 + 13*r + 9. Let i(t) = 3*j(t) - 8*z(t). Factor i(x).
(x + 1)**2*(x + 3)
Let p(k) be the second derivative of k**7/2520 + k**6/360 + k**5/120 + 2*k**4/3 - 6*k. Let u(b) be the third derivative of p(b). Factor u(w).
(w + 1)**2
Let w(s) = s**2 - 66*s + 74. Let p(v) = -64*v + 76. Let l(u) = -3*p(u) + 4*w(u). Factor l(b).
4*(b - 17)*(b - 1)
Suppose -314 + 302 = -6*q. Let g(h) be the first derivative of -1/5*h**5 - 1 + h**4 - 5/3*h**3 + h**q + 0*h. Determine l so that g(l) = 0.
0, 1, 2
Let g(m) = -135*m**2 + 15*m + 5. Suppose -3*t - 8 = -23. Let v(y) = -67*y**2 + 7*y + 2. Let l(o) = t*v(o) - 2*g(o). Factor l(c).
-5*c*(13*c - 1)
Solve -4*h**5 - 4*h**4 + 85*h + 243*h**3 - 89*h + 4*h**4 - 235*h**3 = 0.
-1, 0, 1
Suppose 2*a - 2*c + 6 = 0, -14*c = -5*a - 10*c - 12. Factor 0*d + 4/3*d**2 + a + 2/9*d**3.
2*d**2*(d + 6)/9
Let h be ((-2)/6)/((-10)/90) + -3. Let a be -3 + h + 2 - 3 - -7. Factor -k + 0 - 3/2*k**2 + 5/2*k**a.
k*(k - 1)*(5*k + 2)/2
Suppose y - 67 = 8*o - 13*o, 3*y + 2*o - 84 = 0. Find w, given that 0 - 75/2*w**3 + 0*w - 7/2*w**5 - 9*w**2 - y*w**4 = 0.
-3, -2/7, 0
Suppose 5*k = -y + 26, 3*k + 3*y - 3 = 3. Suppose 9*r - 6 = k*r. Factor 0*p**r - 4/7*p**3 + 12/7*p - 8/7.
-4*(p - 1)**2*(p + 2)/7
Factor 12/7*s**2 + 0 + 12/7*s + 3/7*s**3.
3*s*(s + 2)**2/7
Factor 4/5 + 15*a**2 + 152/5*a.
(a + 2)*(75*a + 2)/5
Let i(u) be the third derivative of 0*u**3 - 23*u**2 + 0*u**5 + 1/180*u**6 + 1/210*u**7 + 0*u**4 + 0*u + 0. Find c, given that i(c) = 0.
-2/3, 0
Let w = 15/2 - 7. Let z(d) be the second derivative of 1/4*d**4 + 5*d + w*d**3 + 0 - 3*d**2. Find u such that z(u) = 0.
-2, 1
Suppose 3*x - 29 = 37. Let k = 24 - x. Factor -12/5*z - 12/5 - 3/5*z**k.
-3*(z + 2)**2/5
Let p(q) be the second derivative of -q**3/3 + q**2 - 3*q. Let g be p(0). Factor 9*n**g + 12 - n**2 - n**2 + 16*n - 3*n**2.
4*(n + 1)*(n + 3)
Let c(m) = m**2 + 2*m. Let o(u) = 4*u**3 - 104*u**2 + 420*u - 648. Let f(h) = -24*c(h) - o(h). Factor f(r).
-4*(r - 9)**2*(r - 2)
Let o(r) be the third derivative of r**8/2520 - 2*r**7/225 - r**6/50 + 22*r**5/225 + 17*r**4/180 - 2*r**3/3 - 14*r**2 + 8*r. Suppose o(m) = 0. What is m?
-2, -1, 1, 15
Let a = -296/35 - -17/2. Let f(i) be the second derivative of 0 + 0*i**4 - 8*i + 1/105*i**6 + 0*i**2 + 0*i**3 - a*i**5. Factor f(q).
2*q**3*(q - 3)/7
Let w(g) be the first derivative of g**6/2 + 3*g**5/5 - 33*g**4/4 - 29*g**3 - 39*g**2 - 24*g + 293. Factor w(x).
3*(x - 4)*(x + 1)**3*(x + 2)
Let j be (114/10)/(1*(-2)/(-10)). Let q = j - 227/4. Let q*z + 0 - 1/4*z**2 = 0. What is z?
0, 1
Factor -19 - 23*i - 19 - i**2 - 7 + 12*i**2 + 10 - i**3.
-(i - 7)*(i - 5)*(i + 1)
Suppose -5*h + 4 = 3*w - 8, 0 = 5*h + 5*w - 10. Solve 2*l + 8*l**5 - h*l**5 - 2*l**4 - 7*l**5 + 6*l**4 - 4*l**2 = 0 for l.
-1, 0, 1
Let m(w) be the first derivative of -121*w**4/18 + 352*w**3/9 - 20*w**2 + 32*w/9 - 2. Find v, given that m(v) = 0.
2/11, 4
What is q in -4913/3 - 17*q**2 - 1/3*q**3 - 289*q = 0?
-17
Determine x so that -34/5*x**3 - 34/5*x**2 - 2/5*x**5 - 12/5*x + 0 - 14/5*x**4 = 0.
-3, -2, -1, 0
Let o(w) be the third derivative of 0 - 11*w**2 + 0*w**4 + 0*w + 1/150*w**5 + 0*w**3. Suppose o(k) = 0. Calculate k.
0
Let v(c) be the second derivative of -10*c + 0*c**2 + 0 + 1/33*c**3 - 1/66*c**4. Factor v(h).
-2*h*(h - 1)/11
Let t(x) be the first derivative of 14 + 5/4*x**4 + 0*x**3 - 5/2*x**2 + 0*x. Factor t(a).
5*a*(a - 1)*(a + 1)
Let q(f) = 5*f + 67. Let x be q(-13). Factor 1616*i + 4 + 0*i**x - 1621*i + i**2.
(i - 4)*(i - 1)
Let m = -22/427 - -471/854. Factor -u + 1/2 + m*u**2.
(u - 1)**2/2
Suppose -5*v = 7*u - 12*u + 50, -2*u = -3*v - 27. What is a in -4/3*a**4 - 4/3*a**5 + 8/3*a + 4*a**u + 20/3*a**2 + 0 = 0?
-1, 0, 2
Let q(i) be the third derivative of -1/11*i**3 + 0*i + 1/330*i**5 - 57*i**2 + 0 + 1/66*i**4. Factor q(s).
2*(s - 1)*(s + 3)/11
Let z = -363 - -366. Let v(q) be the second derivative of -1/15*q**6 + 1/84*q**7 - 1/3*q**3 + 0*q**2 + 1/6*q**4 + 3/40*q**5 + 0 - z*q. Factor v(g).
g*(g - 2)**2*(g - 1)*(g + 1)/2
Let w(j) = -j - 5. Let n be w(-9). Find r such that 46*r**4 - 15*r**3 + 4*r**3 - 37*r**n + 2*r**2 = 0.
0, 2/9, 1
Let f(j) = j**3 - 7*j**2 - 11*j + 11. Let b be f(8). Let i be 9/(585/10) + (-37)/b. Factor 0*w - 3/5*w**4 + 0*w**i + 0 + 0*w**2 - 1/5*w**5.
-w**4*(w + 3)/5
Let d(o) be the first derivative of -1/4*o**3 + 5 + 3/4*o**2 + 0*o. Factor d(i).
-3*i*(i - 2)/4
Let x(a) be the second derivative of a**4/3 + 16*a**3/3 - 40*a**2 + 58*a + 1. Factor x(z).
4*(z - 2)*(z + 10)
Suppose -13*s + 177 = 138. Let k(c) be the first derivative of 0*c**2 + 0*c**4 + 2/25*c**5 - 6 + 0*c - 2/15*c**s. Determine d so that k(d) = 0.
-1, 0, 1
Suppose -12 = -6*z - 0. Suppose 0 = 3*p + z*p - 25. Factor 4/7*k**4 + 2/7*k**3 + 2/7*k**p + 0 + 0*k + 0*k**2.
2*k**3*(k + 1)**2/7
Let q(n) be the third derivative of -11*n**6/40 - 19*n**5/10 - 9*n**4/8 + 9*n**3 + 291*n**2. Solve q(c) = 0.
-3, -1, 6/11
Let c be (108/(-10))/((-9)/(-30)). Let g = -17 - c. Determine z so that -z**4 + 18*z**2 - z + 2*z**4 + z**3 - g*z**2 = 0.
-1, 0, 1
Let r be 13/((-78)/12)*1/(-45). Let n(u) be the first derivative of -1/27*u**6 + 0*u + 0*u**2 + 1/18*u**4 + r*u**5 + 13 - 2/27*u**3. Let n(k) = 0. What is k?
-1, 0, 1
Let y(m) be the first derivative of -m**6/14 + 3*m**5/35 + 51*m**4/28 + 15*m**3/7 + 54. Find u, given that y(u) = 0.
-3, -1, 0, 5
Let v = -11759/28 + 420. Let d(a) be the first derivative of v*a**4 - 8 - 1/14*a**2 - 1/7*a + 1/21*a**3. Let d(w) = 0. Calculate w.
-1, 1
Suppose -5*k + 2*j = -49, -4*j + 6 = -2*j. Let 14*n**4 + 2*n**5 - 3*n + 30*n**3 + 7*n**2 + 19*n**2 + k*n = 0. Calculate n.
-4, -1, 0
Determine g so that 2/7*g**4 - 12/7*g**2 - 6/7 + 16/7*g + 0*g**3 = 0.
-3, 1
Let m(y) be the third derivative of -y**6/80 + 43*y**5/40 - 21*y**4/8 + 293*y**2. Factor m(b).
-3*b*(b - 42)*(b - 1)/2
Let l(i) be the third derivative of -5*i**5/3 - 10*i**4 - 24*i**3 - 18*i**2. Suppose l(h) = 0. Calculate h.
-6/5
Let y(f) be the second derivative of -7/18*f**3 - 5/36*f**4 + 7/90*f**6 + 1/63*f**7 + 1/12*f**5 + 0 - 1/3*f**2 - 5*f. Suppose y(w) = 0. Calculate w.
-2, -1, -1/2, 1
Let v(d) = d**3 - d**2 - 4*d + 6. Let j be v(2). Suppose 0 = -3*n + 8*n - 15. Let -4/3*o**j - 2/3*o**n + 2/3*o**4 + 0 + 0*o = 0. What is o?
-1, 0, 2
Suppose -2*n + 6 = 4*s, 0*s - 3*s - 3*n + 9 = 0. Let x = -4 + 7. Let 4 - g**3 + s*g**3 + 2*g - g**3 + 0*g**x - 4*g**2 = 0. What is g?
-2, -1, 1
Let s(d) = -13*d - 12. Let y be s(-1). Let g be (-15)/25 + 0 + y. Suppose -g*n**2 + 0*n + 2/5 = 0. What is n?
-1, 1
Let g(l) be the third derivative of l**8/2016 - l**7/315 - 7*l**6/240 - l**5/90 + 7*l**4/36 + 11*l**2 - l. Determine o so that g(o) = 0.
-2, 0, 1, 7
Solve 11 + 57/2*b + 49/2*b**2 + 1/2*b**4 + 15/2*b**3 = 0.
-11, -2, -1
Suppose 3*x = -0 + 3. Factor x - 2*z + 2 + 35*z**2 + 2*z**3 - 38*z**2.
(z - 1)*(z + 1)*(2*z - 3)
Let s(n) be the first derivative of 0*n**3 - 1/15*n**5 + 1/60*n**6 + 0*n**4 - 4 + 0*n + 5/2*n**2. Let o(z) be the second derivative of s(z). Factor o(p).
2*p**2*(p - 2)
Suppose -4*h = -5*g + 69, 3*g = h + 6*g + 30. Let s be 8/(192/18)*(-16)/h. Determine k, given that 58/7*k**3 - 66/7*k**2 + 30/7*k - 18/7*k**4 - s = 0.
2/9, 1
Let l(x) be the first derivative of -x**7/210 + x**6/30 - 2*x**5/25 + x**4/15 - 10*x - 7. Let r(b) be the