u**6/600 + u**5/20 - 5*u**4/8 - 17*u**3/6 - 20*u. Let q(f) be the second derivative of i(f). Factor q(r).
-3*(r - 5)**2/5
Factor -1/5*o**3 + 7/5*o**2 - 7/5 + 1/5*o.
-(o - 7)*(o - 1)*(o + 1)/5
Let s(h) = 64*h + 3. Let a be s(-1). Let f = a - -61. Let 2/5*c**4 - 2/5*c**2 - 2/5*c**5 + f*c + 0 + 2/5*c**3 = 0. Calculate c.
-1, 0, 1
Let q(s) = -6*s + 15. Let o(i) = -i**2 - 7*i + 14. Let m(u) = 3*o(u) - 2*q(u). Find j such that m(j) = 0.
-4, 1
Suppose -18*m - 112 = -25*m. Let 4*b**2 - 7*b**2 + m*b - 8*b**2 + 4*b**3 - 5*b**2 = 0. Calculate b.
0, 2
Let d(k) be the first derivative of -16/3*k + 20/3*k**2 - 13/6*k**4 + 4/3*k**3 + 14 - 2/3*k**5. Solve d(z) = 0 for z.
-2, 2/5, 1
Factor -4/13*r**2 + 34/13*r + 18/13.
-2*(r - 9)*(2*r + 1)/13
Let v be ((-6)/(-4) + -2)*-34. Let y(c) = -11*c**2 - 5*c - 11. Let a(x) = 38 - 2*x + 42 - 84 - 4*x**2. Let i(q) = v*a(q) - 6*y(q). Find s such that i(s) = 0.
-1
Let t(u) be the first derivative of u**3 - 24*u**2 - 108*u + 8. Factor t(k).
3*(k - 18)*(k + 2)
Let p(b) be the first derivative of -b**5/5 - 5*b**4/3 - 16*b**3/3 - 8*b**2 + 14*b - 4. Let d(o) be the first derivative of p(o). Solve d(i) = 0 for i.
-2, -1
Let z(c) = 2*c - 2. Let d be z(3). Let l(k) be the third derivative of 0 - 1/28*k**d + 1/420*k**6 + 0*k - 1/105*k**5 - 3*k**2 + 0*k**3. Factor l(u).
2*u*(u - 3)*(u + 1)/7
Let o(z) be the second derivative of z**4/36 + 5*z**3/9 - 11*z**2/6 - 80*z. Factor o(y).
(y - 1)*(y + 11)/3
Suppose 0 = -2*k + 285 + 99. Suppose -16*u = -4*u - k. Find g, given that 20*g**3 + 21*g**4 - 24*g + 9/2*g**5 + u - 24*g**2 = 0.
-2, 2/3
Let v(b) = b**2 + 7*b + 8. Let f be v(-6). Find w such that 2*w**2 + 56*w - 5*w**f - 136 - w**2 - 60 = 0.
7
Let m(y) be the second derivative of 0 + 0*y**2 + 5/42*y**7 - 1/3*y**6 + 0*y**5 - 8*y - 5/6*y**3 + 5/6*y**4. Find g, given that m(g) = 0.
-1, 0, 1
Suppose -12*o = -59664 + 59628. Let 0*t - 2/9*t**2 - 2/9*t**4 + 0 - 4/9*t**o = 0. Calculate t.
-1, 0
Let z(w) be the second derivative of -w**6/10 - 9*w**5/20 + 278*w + 1. Factor z(a).
-3*a**3*(a + 3)
Let o(m) be the third derivative of 0*m**4 + 1/225*m**7 - 12*m**2 - 1/180*m**6 + 1/450*m**5 + 0*m**3 - 1/840*m**8 + 0 + 0*m. Determine k, given that o(k) = 0.
0, 1/3, 1
Suppose 54 = 36*u - 54. Let i(w) be the third derivative of 8/65*w**5 - 16/195*w**6 - 1/13*w**4 + 0 + 0*w + 1/39*w**u + 2*w**2. Factor i(y).
-2*(4*y - 1)**3/13
Let o = 63052/7 - 9006. Determine d, given that -o*d + 10/7*d**3 + 4/7 - 4/7*d**2 = 0.
-1, 2/5, 1
Let n(x) = -x**3 + 24*x**2 - 12*x - 49. Let w be n(24). Let u = -1677/5 - w. Factor 2/5*p**2 + u + 8/5*p.
2*(p + 2)**2/5
Let b(q) = q**4 - q**2 + q. Let z(h) = -4*h**4 - 36*h**3 + 128*h**2 + 354*h + 200. Let p(s) = -6*b(s) - z(s). Factor p(n).
-2*(n - 10)**2*(n + 1)**2
Let t(r) be the first derivative of r**4/22 - 28*r**3/33 + 13*r**2/11 - 63. Solve t(q) = 0.
0, 1, 13
Suppose 33*f - 31*f = 0. Let y(z) be the second derivative of 3/70*z**5 + 2/21*z**3 - 8*z + f + 0*z**2 - 1/6*z**4. Factor y(p).
2*p*(p - 2)*(3*p - 1)/7
Let a be ((-60)/(1 + 11))/(4/(-8)). Suppose -20*t - a*t**3 + 5/2*t**4 + 20*t**2 - 1/4*t**5 + 8 = 0. Calculate t.
2
Suppose 0 = 7*c - 3*c + 12. Let i be 4*c/(-18)*3. Factor 2 + 2*o**2 - 10*o + 3*o**i + o**2 + 18*o**3.
2*(o + 1)*(3*o - 1)**2
Let a(n) be the third derivative of -13/100*n**5 + 0 + 0*n + 1/5*n**3 + 7*n**2 + 11/40*n**4. Factor a(j).
-3*(j - 1)*(13*j + 2)/5
Let i(x) be the second derivative of -x**4/42 - 16*x**3/21 - 15*x**2/7 - 16*x. Factor i(u).
-2*(u + 1)*(u + 15)/7
Let z(n) be the first derivative of -2*n**5/35 + n**4/14 + 2*n**3/21 - n**2/7 + 219. Factor z(x).
-2*x*(x - 1)**2*(x + 1)/7
Let i be ((3 - 3)*1)/(-1). Let z(w) be the first derivative of -5/18*w**6 + i*w - 2/15*w**5 - 4 + 5/4*w**4 - 4/9*w**3 - 2/3*w**2. Let z(x) = 0. What is x?
-2, -2/5, 0, 1
Suppose 5*q + 20 = 5*o, -2*o + 18 = -q + 12. Factor -4/7*w**3 - 108/7*w + 108/7 + 36/7*w**o.
-4*(w - 3)**3/7
Let w be -1*(0 + -1) + (-1573)/22. Let c = -69 - w. Find h, given that c*h**3 + 0 + 2*h**4 - 1/2*h**2 + 0*h = 0.
-1, 0, 1/4
Let k(l) be the second derivative of l**6/3060 - l**5/510 - 5*l**3/6 - 25*l. Let d(s) be the second derivative of k(s). Factor d(r).
2*r*(r - 2)/17
Suppose s - 2*s = -4*n + 20, 24 = -s + 5*n. Let k = s - -4. What is g in -4*g + k*g + 2*g - 1 - g**2 = 0?
-1
Suppose 9126*o + 1/2*o**3 - 117*o**2 - 237276 = 0. Calculate o.
78
Suppose 11 = -2*h + 3, -3*h - 372 = -5*r. Factor -r*o - 6 - o**2 + 32*o + 35*o.
-(o + 2)*(o + 3)
Let z(o) be the first derivative of 1/16*o**2 - 6*o - 1/240*o**6 + 1/24*o**3 + 0*o**4 - 1/80*o**5 - 2. Let d(x) be the first derivative of z(x). Factor d(w).
-(w - 1)*(w + 1)**3/8
Suppose -4*a - 3*n = 47, 8*n = 5*n - 3. Let s be 2/a + 205/220. Factor 3/4*y**5 - 3/2*y**3 + 3/2*y**2 - 3/4 - s*y**4 + 3/4*y.
3*(y - 1)**3*(y + 1)**2/4
Let k(u) be the third derivative of 0*u**3 + 0 + 1/3*u**4 + 1/30*u**6 - 2*u**2 + 1/5*u**5 + 0*u. Factor k(n).
4*n*(n + 1)*(n + 2)
Let z be -5 - (18/63 - (-586)/(-42)). Let q = 9 - z. Factor 3/2*k**3 + 13/6*k + q + 4*k**2.
(k + 2)*(3*k + 1)**2/6
Solve 3/8*u**2 + 15/4 - 21/8*u = 0.
2, 5
Let y(u) be the first derivative of -4*u**5/5 - 14*u**4 - 196*u**3/3 - 174. Let y(j) = 0. Calculate j.
-7, 0
Let r(l) = -27*l - 3. Let o be r(-1). Let f be 12/o*(19 - 2*-1). Find q, given that -1/2*q + 1 - f*q**2 = 0.
-1/3, 2/7
Let x(o) = -3 - o + o + o + 2. Let m(r) = -25*r**2 + 41*r - 16. Let f(z) = m(z) - 6*x(z). Factor f(g).
-5*(g - 1)*(5*g - 2)
Let l(i) = -19*i**3 + 19*i**2 + 12*i - 5. Let p(g) = 6*g**3 - 6*g**2 - 4*g + 2. Suppose b = -b - 4. Let o(r) = b*l(r) - 7*p(r). Factor o(t).
-4*(t - 1)**2*(t + 1)
Let k(a) be the second derivative of a**6/18 + 8*a**5/15 + a**4/2 - 11*a**3/2 + 34*a. Let b(v) be the second derivative of k(v). Factor b(m).
4*(m + 3)*(5*m + 1)
Let b(v) be the second derivative of -v**7/504 + v**6/144 - 5*v**4/12 + 24*v. Let o(j) be the third derivative of b(j). Find u, given that o(u) = 0.
0, 1
Let d(a) = 3*a**2 - 21*a - 32. Let x(s) be the third derivative of s**5/60 - 5*s**4/12 - 8*s**3/3 + 40*s**2. Let c(w) = 4*d(w) - 10*x(w). What is p in c(p) = 0?
-4
Let p(r) be the first derivative of r**6/360 + r**5/120 - 5*r**3/3 + 28. Let i(s) be the third derivative of p(s). Factor i(z).
z*(z + 1)
Let y(k) be the second derivative of -5*k**6/6 - 9*k**5/4 + 4*k**4/3 + 2*k**3 + 4*k - 2. Factor y(d).
-d*(d + 2)*(5*d - 3)*(5*d + 2)
Let h(r) = 5*r + 3*r - 10*r - 12 + r. Let v be h(-16). Solve 8/9*w + 34/9*w**3 + 0 + 10/9*w**v + 32/9*w**2 = 0.
-2, -1, -2/5, 0
Suppose -4*k + 7 = -5. Factor -6 + 0 - k*b**2 - 4 + 6*b + 7.
-3*(b - 1)**2
Let m(c) be the third derivative of -1/3*c**3 + 0*c - 6*c**2 + 1/105*c**7 + 0*c**5 - 1/6*c**4 + 0 + 1/30*c**6. Factor m(x).
2*(x - 1)*(x + 1)**3
Find l, given that 10*l**4 - 105*l**3 + 3*l + 35*l**5 + 17*l - 268*l**2 + 308*l**2 = 0.
-2, -2/7, 0, 1
Factor -8/3*v**2 - 2*v + 12 + 2/3*v**3.
2*(v - 3)**2*(v + 2)/3
Let g(w) be the first derivative of 2*w**4/3 - 14*w**3/3 + 6*w**2 + 14*w - 9. Let b(l) be the first derivative of g(l). Factor b(n).
4*(n - 3)*(2*n - 1)
Let b(a) = -4*a - 134. Let r be b(-34). Let l(q) be the first derivative of -1/10*q**5 + 0*q**2 - 1/6*q**3 + r + 0*q + 1/4*q**4. Factor l(v).
-v**2*(v - 1)**2/2
Let s(j) be the second derivative of -j**7/630 - j**6/90 - j**5/30 - j**4/18 + 3*j**3/2 + 9*j. Let f(y) be the second derivative of s(y). Solve f(v) = 0.
-1
Let z(g) be the first derivative of g**5/20 - g**4/16 - g**3/12 + g**2/8 - 17. Solve z(o) = 0.
-1, 0, 1
Let t be (-660)/(-494) - (288/(-152) - 4/(-2)). Factor 18/13*p + t + 2/13*p**2.
2*(p + 1)*(p + 8)/13
Let s be (-5)/(-2)*(-1 - (-93)/(-135)). Let a = -67/18 - s. Let -a*r + 1/2*r**3 - 2*r**4 + 2*r**2 + 0 = 0. Calculate r.
-1, 0, 1/4, 1
Let b be -5 + 47716/130 - (-2)/(-10). Let z = 362 - b. Let -4/13 + z*d**4 - 6/13*d**2 - 10/13*d + 2/13*d**3 = 0. Calculate d.
-1, 2
Let l(v) be the first derivative of v**7/105 + v**6/60 - v**5/6 + v**4/4 - 4*v**2 + 19. Let a(u) be the second derivative of l(u). Factor a(z).
2*z*(z - 1)**2*(z + 3)
Find y, given that 64*y - 3*y**2 + 715730 - y**2 - 715410 = 0.
-4, 20
Let x(s) be the second derivative of 0 + 11*s - 1/5*s**3 + 0*s**2 + 1/30*s**4. Solve x(d) = 0 for d.
0, 3
Factor 60*m + 2/13*m**2 + 5850.
2*(m + 195)**2/13
Let b(a) be the first derivative of -39/10*a**2 - 6/5*a