+ 3/5*l**5 - 2/3*l**3 + 1/6*l**6 + 12 - 3/2*l**2. Factor c(g).
(g - 1)*(g + 1)**4
Let h = 16 - 13. Suppose 0 = h*n + n. Factor a**2 + n*a**2 + a**4 + 0 - 3*a + 3 - 5 + 3*a**3.
(a - 1)*(a + 1)**2*(a + 2)
Let i(g) be the second derivative of g**4/12 - 304*g**3/3 + 46208*g**2 + 1026*g. Suppose i(x) = 0. What is x?
304
Let s(j) be the first derivative of -j**7/1050 - j**6/600 + j**5/300 + j**4/120 - j**2/2 - 5. Let v(g) be the second derivative of s(g). Factor v(w).
-w*(w - 1)*(w + 1)**2/5
Suppose -42 = -31*g + 29*g. Let z be (2/(-4))/(g/(-63)). Suppose 1/4*n**3 - z*n**2 + 0 + 9/4*n = 0. Calculate n.
0, 3
Let t(g) be the second derivative of 20*g - 3/40*g**5 + 0 + 0*g**2 - 1/2*g**3 - 7/16*g**4 + 1/40*g**6. Factor t(s).
3*s*(s - 4)*(s + 1)**2/4
Let b(h) be the second derivative of h**5/5 + 15*h**4 + 352*h**3 + 968*h**2 - 95*h. Suppose b(k) = 0. What is k?
-22, -1
Let b = -41 - -61. Suppose -4 + 15*x**2 - 31*x**2 + b*x**2 + 2*x - 2*x**3 = 0. Calculate x.
-1, 1, 2
Let s(g) be the first derivative of -12*g**2 + 20/3*g**3 - 10 + 4*g. Determine h, given that s(h) = 0.
1/5, 1
Suppose -11*g = -2*o - 52, -2*o - 17 + 21 = 3*g. Solve -33/7*u**3 - 6/7*u**2 - 3/7*u**5 + 24/7 + 36/7*u - 18/7*u**g = 0 for u.
-2, -1, 1
Let i = 128 + -87. Find n, given that -143*n**2 - 6 - 32*n**3 - n**2 + i*n - 4 + 37*n = 0.
-5, 1/4
Let 19*g**2 + 45*g - 68*g**2 - g**5 - 40*g**3 - 27*g**2 + 90 - 4*g**5 + 40*g**4 - 54*g**2 = 0. Calculate g.
-1, 1, 3, 6
Let i be 7/17 - (-3)/5. Let l = i - -10/17. Determine m, given that l*m**4 + 2/5*m**5 + 8/5*m**2 + 12/5*m**3 + 2/5*m + 0 = 0.
-1, 0
Let w be (-1)/(2*(-4)/24). Let p**3 - 2*p**w + p - 6*p**2 - 2 - p**3 - 7*p = 0. Calculate p.
-1
Let a(b) be the third derivative of 0*b + 0 - 1/330*b**5 - 2*b**2 + 0*b**3 - 1/132*b**4. Find p such that a(p) = 0.
-1, 0
Suppose -u + 14 = 4*m, -3*m + 94*u - 90*u - 18 = 0. Let -14/11*w - 2/11*w**m + 0 = 0. Calculate w.
-7, 0
Let h = 888 - 885. Let k(s) be the first derivative of 6 - 3*s**2 + 1/2*s**4 + 4*s + 0*s**h. Solve k(l) = 0 for l.
-2, 1
Let 588/5*j + 759/5*j**3 - 18*j**4 + 0 - 252*j**2 + 3/5*j**5 = 0. Calculate j.
0, 1, 14
Let j(y) be the second derivative of -y**6/30 + y**5 - 19*y**4/12 - 394*y. Solve j(o) = 0.
0, 1, 19
Let s be (-24)/(-36) + (-38)/(-6). Let g be s/5*(-150)/(-60). Factor -g*z**4 + 0*z + z**2 - 5/2*z**3 + 0.
-z**2*(z + 1)*(7*z - 2)/2
Factor -10 - 2*w**5 + 4*w**2 - 15041*w**3 + 6*w**4 + 30092*w**3 - 15031*w**3 - 18*w.
-2*(w - 5)*(w - 1)*(w + 1)**3
Let w be (10/15)/(4/6). Let b = w - -2. Let o(c) = c**5 - 3*c**4 + 7*c**3 - 5*c**2. Let m(y) = y**4 + y**3 - y**2 - y. Let g(d) = b*o(d) - 3*m(d). Factor g(i).
3*i*(i - 1)**4
Let k be (-1)/(-7) + 0 + 81/21. Let n(i) = 2*i**3 - 6*i**2 + 14*i - 14. Let b(q) = -5*q**3 + 18*q**2 - 43*q + 41. Let d(v) = k*b(v) + 11*n(v). Factor d(j).
2*(j - 1)**2*(j + 5)
Suppose -9*o + 105 = -111. Suppose o = 3*k + 3*s - 6, 3*s = 4*k - 12. What is v in 21/2*v**4 - 57/2*v**3 + 0 + 12*v**2 + k*v = 0?
-2/7, 0, 1, 2
Let p(r) be the first derivative of -2/11*r**2 - 14/55*r**5 + 2/11*r + 4/11*r**4 - 44 + 2/33*r**6 - 4/33*r**3. Solve p(x) = 0.
-1/2, 1
Let u(y) be the third derivative of y**6/600 + y**5/50 + y**4/10 + 4*y**3/15 - 3*y**2. Factor u(w).
(w + 2)**3/5
Suppose 2*p - 111 = y + 3*p, 5*p = -2*y - 225. Let d be y/(-9) - (-36)/(-162). Factor 3*f**3 + 2*f**2 - 2*f**3 - d*f + 13*f + 0*f**3.
f*(f + 1)**2
Suppose 5*o - 5 = 4*o. Let q = o - 1. Factor -3*x**4 - 4*x**3 + 9*x**3 + 4*x**q + 3*x + 0*x + 7*x**2.
x*(x + 1)**2*(x + 3)
Let h(w) be the first derivative of -7 + 0*w**2 + 8*w - 2*w**3 - 1/2*w**4. Factor h(l).
-2*(l - 1)*(l + 2)**2
Let t = -5905 + 35431/6. Solve 5/6 + 3*u**2 + t*u**4 + 8/3*u + 4/3*u**3 = 0.
-5, -1
Let q be 0/(2/((2 + -3)*-1)). Suppose 3*w + t - 13 = q, 10 = 5*w + 3*t - 13. Factor -4/5*v + 2/5*v**w - 2/5*v**2 + 4/5*v**3 + 0.
2*v*(v - 1)*(v + 1)*(v + 2)/5
Let z(s) be the second derivative of s**5/30 + 13*s**4/18 + 10*s**3/9 - 8*s**2 - 159*s. Factor z(w).
2*(w - 1)*(w + 2)*(w + 12)/3
Let a(x) be the second derivative of x**6/15 - 17*x**5/30 + x**4 + 8*x**3/9 + 89*x. Find w, given that a(w) = 0.
-1/3, 0, 2, 4
Factor 0 - 16/7*c + 4/7*c**2 + 2/7*c**3.
2*c*(c - 2)*(c + 4)/7
Suppose m = -5*p - 534, 2*p - m + 2*m = -213. Let v = p - -112. Factor -2/3*o**4 - 2*o**v + 0 + 0*o + 0*o**2 + 4/3*o**3.
-2*o**3*(o + 1)*(3*o - 2)/3
Let v(z) = 16*z**2 + 111*z + 72. Let y(h) = 32*h**2 + 221*h + 144. Let x(r) = 5*v(r) - 3*y(r). Factor x(l).
-4*(l + 6)*(4*l + 3)
Let n(u) be the first derivative of 23/25*u**5 - 6/5*u**2 - 4/5*u + 6/5*u**4 - 1/15*u**3 + 12 + 1/5*u**6. What is w in n(w) = 0?
-2, -1, -1/2, 2/3
Let h(y) be the second derivative of 1/3*y**4 - 6*y + 2/5*y**5 + 0*y**6 + 0 - 2*y**2 - 1/21*y**7 - y**3. Factor h(o).
-2*(o - 2)*(o - 1)*(o + 1)**3
Let h = 62 + 2. Solve 2*o**2 - 16*o**3 - 25*o**5 - h*o**3 - 22*o**2 - 85*o**4 = 0.
-2, -1, -2/5, 0
Let o = -17 + 21. Suppose 6*d**2 + 4 - d**3 - 151*d + o + 139*d = 0. Calculate d.
2
Let g(a) = a**2 + a + 1. Let u(i) = 36*i + i**2 + 6 + 7*i**2 - 30*i + 2*i**2. Let z(m) = -6*g(m) + u(m). What is o in z(o) = 0?
0
Suppose -1/3*u**2 - 16*u - 192 = 0. Calculate u.
-24
Let z(u) = u**3 - u + 1. Let h(s) = 3 - 7 + 0 - 9*s**2 - 2*s - 6*s - s**3. Let c(n) = -h(n) - 4*z(n). Factor c(l).
-3*l*(l - 4)*(l + 1)
Let q(m) be the third derivative of 0*m + 46*m**2 - m**3 + 0 - 1/5*m**5 + 9/8*m**4. Factor q(b).
-3*(b - 2)*(4*b - 1)
Let u(b) be the third derivative of 2*b**7/105 - 11*b**6/30 + 14*b**5/5 - 34*b**4/3 + 80*b**3/3 - 75*b**2. Factor u(r).
4*(r - 5)*(r - 2)**3
Let d = 461 - 1381/3. Let p(t) be the second derivative of -1/3*t**4 - d*t**3 + 0 + 10*t + 4*t**2. Find l, given that p(l) = 0.
-2, 1
Let r(g) = 21*g**2 - 21*g. Let x(a) = 6*a**2 - 6*a. Suppose 0 = 2*h - 0*h + t + 33, 2*t = -h - 12. Let u(l) = h*x(l) + 5*r(l). Let u(j) = 0. Calculate j.
0, 1
Let h = -98 - -98. Let a(n) be the first derivative of 1/3*n**3 + 0*n + h*n**2 + 1/4*n**4 - 6. Suppose a(r) = 0. Calculate r.
-1, 0
Let u = 716 + -709. Let l(x) be the third derivative of 1/240*x**6 - 1/840*x**u - x**2 - 1/448*x**8 + 0*x**3 + 0 + 0*x**4 + 0*x + 0*x**5. Solve l(t) = 0 for t.
-1, 0, 2/3
Let o(s) be the first derivative of 4/15*s**5 + 15 + 25/24*s**4 + 7/3*s**2 + 19/9*s**3 + 1/36*s**6 + 4/3*s. Factor o(i).
(i + 1)**2*(i + 2)**3/6
Let j(w) = -2*w**3 - 75*w**2 - 35*w + 78. Let g be j(-37). Suppose 1/2*b**2 + 0 - 1/3*b**3 + 0*b - 1/6*b**g = 0. Calculate b.
-3, 0, 1
Let r = 9 + -10. Let b(i) = i**5 + 5*i**4 - 4*i**2. Let k(w) = -w**4 - w**3. Let h(z) = r*b(z) - k(z). Solve h(g) = 0 for g.
-4, -1, 0, 1
Let a(j) be the second derivative of -j**6/120 - j**5/20 + 5*j**4/48 - 30*j. What is b in a(b) = 0?
-5, 0, 1
Suppose 3*w + 0*h = -h - 12, 3*h = -3*w - 18. Let j be -1*(-5 - w - 0). Factor -j + 4 - 2 - 4*z - 10*z**2.
-2*z*(5*z + 2)
Let n(f) = 2*f + 55. Let i be n(-30). Let k(l) = 2*l**4 + 4*l**3 - 2*l. Let s(b) = 4*b**4 + 8*b**3 + b**2 - 3*b. Let v(r) = i*k(r) + 2*s(r). Factor v(y).
-2*y*(y - 1)*(y + 1)*(y + 2)
Let s(r) be the first derivative of 25/3*r**3 + 14 - 40*r**2 + 125/4*r**4 + 20*r. Factor s(j).
5*(j + 1)*(5*j - 2)**2
Let a(m) = 12*m**2 - 7. Let p be a(1). Find q such that -3/2*q**3 + 0*q + 12/5*q**4 + 0 + 8/5*q**p + 1/5*q**2 = 0.
-2, 0, 1/4
Let v be 1*-3*(0 + -5). Suppose -q = 3*w - 25, -3*w = -q - 2*q + v. Solve 2 + 20*s**2 - 4 - 3 + 55*s - q = 0 for s.
-3, 1/4
Factor -11*k**2 + 586*k + 111556 + 531*k + 219*k + 15*k**2.
4*(k + 167)**2
Let h be 1*(-1 - -2)*(41 + -41). Factor -8/9*r**3 + 2/9*r**4 + 4/3*r + 2/9*r**2 + h.
2*r*(r - 3)*(r - 2)*(r + 1)/9
Suppose -3*l = -7*z + 2*z - 8, 3*l + 2*z - 22 = 0. Suppose -l*i = 2*i. Factor -2/3*n**2 + 0 + i*n - 2/3*n**3.
-2*n**2*(n + 1)/3
Let l be ((-10)/(-15))/(10/24*3/5). Factor l + 10/3*g + 2/3*g**2.
2*(g + 1)*(g + 4)/3
Let a(k) = -4*k**2 + 6*k - 2. Suppose 5*l - 7*l = 12. Let w(h) = 5*h**2 - 6*h + 1. Let b(v) = l*w(v) - 7*a(v). Factor b(m).
-2*(m - 1)*(m + 4)
Solve -328*o**4 + 25*o**2 - 15*o**3 + 150*o**4 - 5*o**5 + 20*o + 153*o**4 = 0.
-4, -1, 0, 1
Let c = -23 - -31. Suppose c*x + 2 = 9*x. Suppose -1/2*n**4 - 1/2*n**3 + 1/2*n**x + 1/2*n + 0 = 0. What is n?
-1, 0, 1
Let y = -20 + 26. Suppose y*d - 12 + 0 = 0. Find x, given that d*x**2 + 6/5*x + 0 = 0.
-3/5, 0
Let r(k) be the third derivative of 11/12*k**4 - 1/168*k**8 + 0*k + 15*k**2