 + 5*a**4/12 + 20*a. Let i(x) be the third derivative of j(x). Factor i(l).
3*l**2*(l - 1)*(l + 4)
Factor 2 - 2/9*i**2 - 16/9*i.
-2*(i - 1)*(i + 9)/9
Let t = -345 - -347. Let w(z) be the first derivative of 1/6*z**4 - 8/9*z**3 + 5/3*z**t - 4/3*z - 2. What is f in w(f) = 0?
1, 2
Let n(x) be the second derivative of -x**10/181440 - x**9/30240 - x**8/20160 + x**4/2 - 5*x. Let y(u) be the third derivative of n(u). Factor y(g).
-g**3*(g + 1)*(g + 2)/6
Let r = -27 - -29. Let b**4 + 5*b**3 - 9*b**5 - 5*b**2 + 4*b**4 + 4*b**5 + 0*b**r = 0. Calculate b.
-1, 0, 1
Suppose 3*q = 2*q + 4*q - 6. Factor 2 + 5/2*f + 1/2*f**q.
(f + 1)*(f + 4)/2
Factor -4*g**3 - 6 - 2125*g**2 + 5 + 2137*g**2 - 15.
-4*(g - 2)**2*(g + 1)
Let b = 6839 - 34193/5. Factor -b*z**2 - 8/5*z - 6/5.
-2*(z + 1)*(z + 3)/5
Suppose 21*l - 14 - 133 = 0. Suppose -v + 11 = l. Let -3*i + 13*i**3 - 13/2*i**2 + 0 - 7/2*i**v = 0. What is i?
-2/7, 0, 1, 3
Let k be 0*((-7)/(-3) - 2) + (-2520)/(-144). Factor 15 + 5/2*c**2 + k*c.
5*(c + 1)*(c + 6)/2
Let x(c) be the second derivative of c**5/80 - 5*c**4/48 - c**3/24 + 5*c**2/8 + 73*c. Let x(t) = 0. What is t?
-1, 1, 5
Determine i, given that 9*i**2 - i**3 + 1/2*i - 9/2 + 1/2*i**5 - 9/2*i**4 = 0.
-1, 1, 9
Let q(d) be the second derivative of 343*d**7/2 + 20237*d**6/5 - 36162*d**5/5 + 5236*d**4 - 2008*d**3 + 432*d**2 - 35*d + 1. Factor q(c).
3*(c + 18)*(7*c - 2)**4
Let i(a) be the first derivative of 19/12*a**3 - 8 + 7/16*a**4 + a**2 - a. Find v, given that i(v) = 0.
-2, -1, 2/7
Let w(k) = k**5 - k**4 + k**2 - k. Let q(u) = u**5 - u**4 + 3*u**3 - 3*u**2. Let b(j) = q(j) - 2*w(j). Factor b(d).
-d*(d - 1)**3*(d + 2)
Suppose 2*u = -0*u + 8. Let p be (-37)/((-1665)/(-30)) - 1/(-15)*13. Factor 0*w + 0 - p*w**u + 0*w**2 - 2/5*w**3 + 1/5*w**5.
w**3*(w - 2)*(w + 1)/5
Let r = 358/3 - 119. Let b(z) be the second derivative of 3*z + z**2 - 1/20*z**5 + 0 - 5/6*z**3 + r*z**4. Solve b(x) = 0.
1, 2
Let t = 6 + -3. Let d be -3 - -10 - (-1 + t). Factor -9*u - 3*u**5 - 6*u**2 + u**2 - 3 + 6*u**d - u**2 + 9*u**4 + 6*u**3.
3*(u - 1)*(u + 1)**4
Let r(o) = 9*o**2 + 3*o - 3. Suppose -2*c - 2 - 4 = 0. Let x(w) = -w - 5. Let y be x(-9). Let q(a) = 9*a**2 + 2*a - 3. Let z(g) = c*q(g) + y*r(g). Factor z(p).
3*(p + 1)*(3*p - 1)
Factor -317*a**3 - 5*a**4 - 15*a + 604*a**3 - 35*a**2 - 312*a**3.
-5*a*(a + 1)**2*(a + 3)
Let d be 210/24 + (-12)/16. Determine v, given that 5 + 5*v**2 - 10*v - 34 + 6 + d = 0.
-1, 3
Suppose -2*t + 5*g = -9, 0*t + 5*g = -4*t + 33. Factor -4*c**3 + 12*c + 8*c**3 - 9*c**2 - t*c**2.
4*c*(c - 3)*(c - 1)
Let 1/4*h**2 - 31/2*h + 961/4 = 0. What is h?
31
Suppose -596*b - 3 + 591*b - 1 - b**2 = 0. Calculate b.
-4, -1
Let g = 16 + -14. Suppose 2*y + g*y = -4*c + 8, 4*c = y - 2. Determine a, given that -a - a**3 - 3*a**2 + y*a - 1 - 4*a = 0.
-1
Let c(u) be the third derivative of 0 - 32/9*u**3 - 1/90*u**6 + 2/3*u**4 + 0*u + 12*u**2 + 0*u**5. Factor c(r).
-4*(r - 2)**2*(r + 4)/3
Let w = -6055 - -30419/5. Determine p so that w*p**2 - 64*p**3 - 28/5*p + 256/5*p**4 + 2/5 = 0.
1/4, 1/2
Let b = -9 - -8. Let z = b + 6. Let w(i) = -i**2 + 6*i + 7. Let v(m) = -m**2 + 7*m + 8. Let n(h) = z*w(h) - 4*v(h). Factor n(u).
-(u - 3)*(u + 1)
Let o be (44/(-48)*2 + (-36)/(-24))/(-1). Factor -o - 1/3*l + 1/3*l**2 + 1/3*l**3.
(l - 1)*(l + 1)**2/3
Let a(f) be the third derivative of 1/80*f**5 + 0*f**4 - 13*f**2 + 0*f + 3/160*f**6 + 0*f**3 - 1/70*f**7 + 0. Let a(h) = 0. Calculate h.
-1/4, 0, 1
Factor 1/11*u**2 - 26/11*u - 87/11.
(u - 29)*(u + 3)/11
Let m(g) be the second derivative of g**5/4 - 25*g**4/3 + 185*g**3/6 - 45*g**2 - 357*g. Find t, given that m(t) = 0.
1, 18
Let i = 1 - -6. Let m = i + -5. Find b such that 2*b**4 - m*b + 2*b**3 + 2*b - 4*b**2 = 0.
-2, 0, 1
Suppose 2/11*m**4 - 26/11*m**2 - 20/11*m - 4/11*m**3 + 0 = 0. Calculate m.
-2, -1, 0, 5
Let v = 10 - 6. What is c in 121*c**2 + v*c**4 - 2*c**5 + 6*c**3 - 2*c**4 - 4*c - 123*c**2 = 0?
-1, 0, 1, 2
Let t be (20/(-15))/(-1 - 4/(-12)). Determine d, given that -1/3 - 1/3*d**t - 2/3*d = 0.
-1
Suppose 5*k - 11*k = -18. Let d(w) be the first derivative of 0*w - w**2 + 2 - 5/4*w**4 + 7/3*w**k. Let d(r) = 0. What is r?
0, 2/5, 1
Let a(q) = -q**2 - 24*q - 44. Let b be a(-2). Let n(d) = -d - 2. Let u be n(-2). Factor 0*z + 2/11*z**4 - 2/11*z**2 + b*z**3 + u.
2*z**2*(z - 1)*(z + 1)/11
Let j(q) = -4*q**2 - 188*q + 4236. Let t(b) = 7*b**2 + 190*b - 4238. Let c(h) = 6*j(h) + 4*t(h). Factor c(a).
4*(a - 46)**2
Factor 62 - 66 + 5*o**2 + 134 + 135*o.
5*(o + 1)*(o + 26)
Determine p, given that 216/7*p**2 + 129/7*p + 18/7 = 0.
-3/8, -2/9
Let r(x) = x**3 - 4*x**2 + 2*x. Let s be r(4). Suppose 10*i - 12 = s*i. Factor 26*l**3 + 3*l**5 - 24*l**4 - 5*l**3 - 6*l**2 + i*l**5.
3*l**2*(l - 1)**2*(3*l - 2)
Let k(s) be the first derivative of 15*s**4/4 - 32*s**3 - 69*s**2/2 + 42*s + 1030. Factor k(j).
3*(j - 7)*(j + 1)*(5*j - 2)
Let g = -2985 - -2987. Factor 25/3 + 1/3*m**g + 10/3*m.
(m + 5)**2/3
Let d(r) be the first derivative of 0*r + 1/48*r**4 + 1/240*r**5 + 0*r**3 - 5 - r**2. Let i(q) be the second derivative of d(q). Factor i(z).
z*(z + 2)/4
Let v(q) be the third derivative of -q**6/960 - q**5/160 + 3*q**4/64 - 14*q**3/3 + 23*q**2. Let z(c) be the first derivative of v(c). Factor z(g).
-3*(g - 1)*(g + 3)/8
Let g = 3328 - 3324. Suppose -g*i - 1/2*i**2 - 8 = 0. What is i?
-4
Determine n so that -8 + 22*n - 6*n**3 - 28*n**2 + 22*n**2 - 4 + 2*n**4 = 0.
-2, 1, 3
Find a such that -6014/3*a + 2/3*a**4 + 3844/3 + 766*a**2 - 130/3*a**3 = 0.
1, 2, 31
Let m(b) be the third derivative of b**6/600 + 3*b**5/200 + b**4/20 + 3*b**3/2 - 25*b**2. Let n(q) be the first derivative of m(q). Let n(o) = 0. What is o?
-2, -1
Suppose 6 = 7*v - 8. Let t(o) be the first derivative of 3 - 1/4*o**4 - 1/2*o**v + 2/3*o**3 + 0*o. Find h, given that t(h) = 0.
0, 1
Let o(r) = 10*r**2 - 20*r + 6. Let s(f) = f**2 - 3*f - 2. Let m(t) = t + 1. Let z(u) = 3*m(u) + s(u). Let i(j) = o(j) + 2*z(j). Factor i(x).
4*(x - 1)*(3*x - 2)
Let y(t) be the third derivative of t**7/2415 + t**6/690 - t**5/690 - t**4/138 - 194*t**2. Factor y(b).
2*b*(b - 1)*(b + 1)*(b + 2)/23
Let s = 109 - 96. Find m such that -4 + s - 711*m**2 - 3*m + 699*m**2 = 0.
-1, 3/4
Factor -4*b + 2/7*b**4 - 4/7*b**3 - 10/7 - 24/7*b**2.
2*(b - 5)*(b + 1)**3/7
Let n = -264 - -274. Suppose n = -4*q + 22. Factor 1/3*l - 1/3 - 1/3*l**4 - 2/3*l**q + 1/3*l**5 + 2/3*l**2.
(l - 1)**3*(l + 1)**2/3
Suppose -7 - 1 = -4*q. Let r be 5 - (-6)/(q + -4). Factor 3*t**r - 3*t**4 - 137*t**3 + 137*t**3.
-3*t**2*(t - 1)*(t + 1)
Let i(k) be the second derivative of 11*k**4/8 - 2*k**3 - 9*k**2/4 + 136*k. Factor i(z).
3*(z - 1)*(11*z + 3)/2
Suppose 67*a = 68*a. Suppose -2*r - 2*y + 8 = 0, r + 2*y = 6 - a. Let -6*m**r - 4/3*m - 8/3*m**3 + 0 = 0. Calculate m.
-2, -1/4, 0
Let f(d) = -2*d**2 + 61*d - 186. Let k be f(27). Solve 0 - 1/7*a**k + 3/7*a**2 - 2/7*a = 0 for a.
0, 1, 2
Let m(a) = a**3 - 9*a**2 + 2*a - 3. Let v(w) = 2*w**3 - 19*w**2 + 3*w - 7. Let l(x) = 2*x**2 - 3*x + 1. Let n be l(2). Let r(z) = n*v(z) - 7*m(z). Factor r(g).
-g*(g - 5)*(g - 1)
Solve 6 + 2/3*m**2 + 4*m = 0.
-3
Let d(l) be the third derivative of 1/120*l**6 + 0*l - l**3 - 15*l**2 + 1/10*l**5 - 1/24*l**4 + 0. Find i, given that d(i) = 0.
-6, -1, 1
Suppose -14 = -2*r - 8. Factor -d**3 + 2*d**3 + 10 - 25*d + d**3 - 7*d**r + 20*d**2.
-5*(d - 2)*(d - 1)**2
Factor 13/4*j**3 + 1/4*j**4 + 57/4*j**2 + 95/4*j + 25/2.
(j + 1)*(j + 2)*(j + 5)**2/4
Let d(i) be the third derivative of i**6/40 + 11*i**5/10 + 35*i**4/2 + 100*i**3 + 27*i**2 - 11. Let d(h) = 0. Calculate h.
-10, -2
Let r(c) be the first derivative of 10 + 200*c + 1/2*c**4 + 14*c**3 + 120*c**2. Find x, given that r(x) = 0.
-10, -1
Let y be (-45)/(-5) + (-5 - -1). Suppose y*w = -1 + 21. Factor 5*l**2 + 5*l**5 - l**5 - 8*l**w + 0*l**4 + 3*l**2 - 4*l**3.
4*l**2*(l - 2)*(l - 1)*(l + 1)
Let u(g) = -26*g - 231. Let z be u(-9). Factor -9/4*w**z - 7/4*w - 1/4 - 15/4*w**2.
-(w + 1)*(3*w + 1)**2/4
Let o(h) = h**2 + h + 4. Let d be o(0). Suppose -d*j + 2 = -3*j. Solve 2*b**2 + b**j - 4*b + b = 0.
0, 1
Solve 24*q + 144/7 + 4/7*q**2 - 18/7*q**3 + 2/7*q**4 = 0 for q.
-2, -1, 6
Let b = -313/5 - -2827/45. Factor -10/9*h + b*h**2 + 0.
2*h*(h - 5)/9
Let a(r) be the third derivative of r**8/1008 - r**7/630 - r**6/60 + 7*r**5/90 - 11*r**4/72 + r**3/6 - 3*