ative of -s**3/15 - s**2/5 - s/5 + 11. Factor g(m).
-(m + 1)**2/5
Let j = -159 - -159. Let t(g) be the third derivative of j + 0*g**3 + 0*g - 1/420*g**5 - 1/168*g**4 + 4*g**2. Factor t(s).
-s*(s + 1)/7
Let t be (-26)/10 + 3 + 8/5. Factor -25*z - 13*z + 7*z**2 + 2*z**t - 12 + 5*z**2.
2*(z - 3)*(7*z + 2)
Let i be 1/(-3)*3 + -5. Let n be (-1)/3 - 14/i. Factor p**4 + 0*p - 1/3*p**5 + 0 + 1/3*p**n - p**3.
-p**2*(p - 1)**3/3
Suppose -x = 3, 5*w = 7*x - 12*x. What is p in 29*p + 63*p**w + 24*p**2 - 26*p - 21*p**5 + 6*p**4 - 15*p = 0?
-1, 0, 2/7, 2
Factor 0 + 27/5*b**4 + 24/5*b + 84/5*b**2 - 102/5*b**3.
3*b*(b - 2)**2*(9*b + 2)/5
Let x be ((-4)/10)/(4/60). Let r(s) = -2*s**2 - 14*s - 11. Let c be r(x). Determine b, given that 1/2*b**2 + c - 3/2*b = 0.
1, 2
Let g(z) = 1. Let j(f) be the third derivative of 0 - 10*f**2 + 0*f - 1/20*f**5 + 1/8*f**4 + 2*f**3. Let p(h) = 6*g(h) - j(h). Factor p(q).
3*(q - 2)*(q + 1)
Suppose 8*q + 54 = -q. Let v be (q/(-1))/3 + 0. Factor -v*p + 32/7*p**3 - 2/7 - 16/7*p**2.
2*(p - 1)*(4*p + 1)**2/7
Let r(y) = -2*y**3 - 12*y**2 - 13*y - 12. Let z be r(-5). Factor -45/7*u**2 + 12/7 - 12/7*u**z - 36/7*u.
-3*(u + 2)**2*(4*u - 1)/7
Find n, given that 0*n - 2/3*n**3 - 2*n**2 + 0 = 0.
-3, 0
Suppose 7142*x = 7137*x + 10. Let o(w) be the third derivative of 0 - 4/27*w**3 - 7*w**x + 0*w - 1/36*w**4 + 1/270*w**5. Suppose o(y) = 0. Calculate y.
-1, 4
Let t(n) be the first derivative of -108*n**2 - 605/2*n**4 - 16*n - 308*n**3 + 26. Let t(h) = 0. Calculate h.
-2/5, -2/11
Let d(l) be the second derivative of -l**5/160 + 7*l**3/48 + 3*l**2/8 + 177*l. Let d(c) = 0. What is c?
-2, -1, 3
Let k be (-7)/2 - -4*(-11 - -12). Let m(p) be the first derivative of 3/2*p**2 + 1/16*p**4 + 2*p + 5 + k*p**3. Factor m(t).
(t + 2)**3/4
Let n(i) = 5*i**2 - 13*i + 5 + i - 4*i**2 - 18. Let a(x) = x**2 - 1. Let d = -5 + 9. Let m(q) = d*a(q) - n(q). Suppose m(o) = 0. Calculate o.
-3, -1
Factor 77 - 3*i**2 + 108*i + 31 - 10*i**3 + 7*i**3.
-3*(i - 6)*(i + 1)*(i + 6)
Let a be (-15)/((-6)/2) - (1 + 0). Suppose m + a = 3*m. Factor -1/2*y**m - 1/2*y + 0.
-y*(y + 1)/2
Let l(s) = -s**3 - s**2. Let b = -127 + 132. Let n(j) = -5*j**3 - 13*j**2 + 14*j - 8. Let w(f) = b*n(f) - 30*l(f). Solve w(g) = 0.
1, 2, 4
Let t(b) = 2*b**2 + b + 63. Let n be t(0). Suppose n = x + 2*x. What is q in -x*q**3 + 5*q**3 - 35*q + 25*q**2 + 15 + 11*q**3 = 0?
1, 3
Let w be 6/((-2)/17 - (-3414)/408). Let c be (36/8)/((-66)/(-8)). Suppose c*v**5 - 24/11*v + 2*v**4 - 14/11*v**2 + 18/11*v**3 - w = 0. What is v?
-2, -1, -2/3, 1
Suppose -3*u - s = -5*u - 2, 3*u + 5*s = 10. Let w(h) be the first derivative of 4*h**3 + u*h + 9/2*h**4 - 3 + h**2 + 8/5*h**5. Factor w(m).
2*m*(m + 1)**2*(4*m + 1)
Let q(h) = -h**2 + 19*h + 23. Let f be q(20). Factor 5*i**5 + 4*i**2 - 2*i**3 + i**2 + 9*i**4 - 14*i**4 - 3*i**f.
5*i**2*(i - 1)**2*(i + 1)
Factor 19/4*p**3 + 43/8*p + 7/8*p**4 + 31/4*p**2 - 1/8*p**5 + 11/8.
-(p - 11)*(p + 1)**4/8
Let t(y) be the second derivative of -2*y**7/21 + 2*y**6/5 + 3*y**5 + 17*y**4/3 + 4*y**3 + 28*y + 3. Factor t(w).
-4*w*(w - 6)*(w + 1)**3
Let c(p) = p**3 - 4*p**2 - 8*p + 2. Let j be c(4). Let h be 168/(-63)*j/4. Let 61*d**2 - 1 + 2*d**3 + h*d - 45*d**2 + 9 + 2*d**3 = 0. Calculate d.
-2, -1
Let a = -2537 + 7613/3. Find p such that a - 4/9*p - 10/9*p**2 = 0.
-1, 3/5
Let u(w) = w - 1. Let l(x) = 3*x**4 - 3*x**3 - 15*x**2 + 9*x - 18. Suppose -20*h + 16 = 36. Suppose -72 = -5*m + m. Let z(b) = h*l(b) + m*u(b). Solve z(y) = 0.
-1, 0, 3
Solve 8/5*m**3 - 8/5*m - 1/5*m**4 + 1/5*m**2 + 0 = 0.
-1, 0, 1, 8
Let m(w) be the first derivative of w**6/15 - 12*w**5/25 + 4*w**4/5 + 4*w**3/5 - 9*w**2/5 - 6. Solve m(s) = 0.
-1, 0, 1, 3
Let s(t) be the first derivative of -1/5*t**4 + 14/25*t**5 + 0*t + 2/5*t**2 + 42 - 14/15*t**3. Determine y, given that s(y) = 0.
-1, 0, 2/7, 1
Let v = 7 - -161/9. Factor -128/9*w**5 - 72*w + 424/9*w**3 + v*w**4 - 38*w**2 - 24.
-2*(w - 2)**2*(4*w + 3)**3/9
Let a(s) be the third derivative of 0*s + 1/30*s**4 + 0*s**3 - 1/50*s**5 - 25*s**2 + 0 + 1/300*s**6. Factor a(x).
2*x*(x - 2)*(x - 1)/5
Let 3*b**3 + 5*b**3 - 4*b**2 - 2 - 7*b**3 + 0*b**2 + 5*b = 0. Calculate b.
1, 2
Let j(m) be the first derivative of 2*m**6/15 + 8*m**5/25 - 8*m**3/15 - 2*m**2/5 + 19. Factor j(d).
4*d*(d - 1)*(d + 1)**3/5
Suppose -180 + 177 = -x. Let u be ((-3)/2)/((-84)/280). Find d such that -2/3*d + 1/3 - u*d**2 + 32/3*d**x - 16/3*d**4 = 0.
-1/4, 1/4, 1
Factor 14*a + 6*a**3 + 9*a**2 + 3*a**2 - 6*a - 3*a**3 + a.
3*a*(a + 1)*(a + 3)
Factor 0*x**2 - 3/2*x**4 + x**3 + 1/2*x**5 + 0 + 0*x.
x**3*(x - 2)*(x - 1)/2
Let u(f) be the third derivative of -f**6/40 + f**5/4 - f**4 + 2*f**3 + 2*f**2 - 95*f. Factor u(o).
-3*(o - 2)**2*(o - 1)
Factor -16*k**2 + 4*k**3 + 24 + 89*k + 69*k - 154*k.
4*(k - 3)*(k - 2)*(k + 1)
Let 1792/5*x + 2048/5 - 56/5*x**3 + 2/5*x**4 + 264/5*x**2 = 0. What is x?
-2, 16
Let x(r) = r**2 + 13*r - 10. Let k be x(-13). Let b be (k - -8) + (3 - -1). Factor -d**5 + b*d**3 + 168*d**4 - 169*d**4 + 0*d**3.
-d**3*(d - 1)*(d + 2)
Let f(o) be the third derivative of o**5/270 - 19*o**4/108 + 2*o**3/3 + 98*o**2. Solve f(k) = 0 for k.
1, 18
Let c(i) be the first derivative of -i**5/5 + i**4/4 + 5*i**3/3 + 3*i**2/2 - 126. Factor c(l).
-l*(l - 3)*(l + 1)**2
Let n(d) be the first derivative of -d**6/15 + 4*d**5/25 - d**4/10 - 995. Solve n(t) = 0.
0, 1
Let 405/4*r - 5/4*r**2 + 0 = 0. Calculate r.
0, 81
Let d = 3 - 1. Let l = 2185 - 2185. Suppose -5/3*u**3 + l + 0*u - 2/3*u**d = 0. Calculate u.
-2/5, 0
Let k = 10 - -5. Determine t so that 83 - 84 - k*t**2 + 11*t + 7*t**3 - 2*t = 0.
1/7, 1
Let r(f) = -81*f**3 - 444*f**2 + 212*f - 26. Let n(g) = -3*g**2 + 1. Let z(d) = -4*n(d) - 2*r(d). Factor z(q).
2*(q + 6)*(9*q - 2)**2
Factor 5/2*w**5 + 0 - 3250*w**2 + 125*w**4 + 1690*w + 2865/2*w**3.
5*w*(w - 1)**2*(w + 26)**2/2
Let h(b) be the first derivative of b**6/3 + 2*b**5 + 7*b**4/2 - 2*b**3/3 - 8*b**2 - 8*b - 189. Find y, given that h(y) = 0.
-2, -1, 1
Let r be (((-30)/(-20))/1)/(2/4). Solve -8/5*s + 0 - 2/5*s**r + 8/5*s**2 = 0 for s.
0, 2
Let w(d) = -5*d + 30. Let j be w(-3). Let n be 2/(-3)*(j/(-20) - -2). Solve -1/2*y**2 - 1/6*y**3 - n - 1/2*y = 0 for y.
-1
Solve 15*z**4 - 31*z**2 + 5*z**3 - z**5 - 10*z + 16*z**2 + 6*z**5 + 0*z**5 = 0.
-2, -1, 0, 1
Suppose 5*d + 15 = -5*s, -4*d - 5*s + 10*s + 15 = 0. Suppose d = w - 10 + 7. Factor -2 + 0 + 1 - 1 - 6*y**w + 10*y**2 - 2*y.
-2*(y - 1)**2*(3*y + 1)
Let o(v) be the second derivative of 5*v**8/336 - v**6/12 + 5*v**4/24 - 8*v**2 + 10*v. Let f(x) be the first derivative of o(x). Factor f(q).
5*q*(q - 1)**2*(q + 1)**2
Factor -13/5*w + 1/5*w**2 - 14/5.
(w - 14)*(w + 1)/5
Let d = 765 - 762. Factor 1 - q**2 - 1/2*q**d + 1/2*q.
-(q - 1)*(q + 1)*(q + 2)/2
Let k(u) = 3*u**2 + 18*u + 10. Let d(n) = -12*n**2 - 72*n - 39. Suppose -15 = -3*z, -c + z = -8 + 34. Let p(l) = c*k(l) - 5*d(l). Suppose p(o) = 0. What is o?
-5, -1
Let v be 2 - 180/6*2/54. Factor 2/9*c**2 - 10/9*c + v.
2*(c - 4)*(c - 1)/9
Let w(s) be the first derivative of s**5/4 - 5*s**4/3 + 25*s**3/6 - 5*s**2 + 18*s - 21. Let h(v) be the first derivative of w(v). Solve h(x) = 0.
1, 2
Suppose -27*h - 14*h = -61*h + 40. Factor -3*u + 3/4*u**3 + 3/4*u**h - 3.
3*(u - 2)*(u + 1)*(u + 2)/4
Determine t so that 0 + 2/3*t**5 + 0*t**2 - 2*t**3 - 4/3*t**4 + 0*t = 0.
-1, 0, 3
Let j(z) = 12*z + 84. Let y be j(-7). Let a(g) be the second derivative of 0*g**2 - 2/39*g**3 - 1/78*g**4 + 1/130*g**5 - 2*g + y. Factor a(s).
2*s*(s - 2)*(s + 1)/13
Let b(g) be the first derivative of 0*g - 1/9*g**3 - 2 + 1/2*g**2. Find x, given that b(x) = 0.
0, 3
Let i(t) = 5*t**4 - 43*t**3 + 14*t**2 + 1258*t + 1202. Let y(f) = 66*f**4 - 558*f**3 + 183*f**2 + 16353*f + 15627. Let c(b) = -27*i(b) + 2*y(b). Factor c(h).
-3*(h - 10)**2*(h + 1)*(h + 4)
Suppose z - 29 = -9. Let c be (z/4 - 7)/(-3). Find j such that -c*j - 5/3*j**2 + 4/3 - 1/2*j**3 = 0.
-2, 2/3
Let k = 59 + -61. Let z be 1/(6 + -4 + (-2)/k). Solve -z - 1/3*u**3 - u**2 - u = 0.
-1
Suppose 109*l + 22 = 120*l. Factor 5/2*i**l + 45/2 + 15*i.
5*(i + 3)**2/2
Let w(y) be the third derivative of y**7/105 - y**5/5 - 2*y**4/3 - y**3 - 20*y**2. Factor w(j).
2*(j - 3)*(j + 1)**3
Let b(k) be the second derivative of k**4/4 + 3*k**3/2 - 6*k**2 - 67*k. Find h, given that b(h) = 0.
-4, 1
Let d(v) be the third