**8/1680 + 2*z**7/315 - z**4/12 - 23*z**3/6 - z**2 + 13*z. Let f(i) be the second derivative of u(i). Factor f(a).
-4*a**2*(a - 4)
Let i(h) = 3*h**3 - 12*h**2 + 26*h - 23. Let q be i(2). Factor -80/13*k**3 - 160/13*k**2 - 20/13*k**4 - 2/13*k**q - 160/13*k - 64/13.
-2*(k + 2)**5/13
Let p(x) = 5*x + 87. Suppose 0 = -3*j - 2*f - 61, -4*j - 58 = -6*f + 4*f. Let o be p(j). Factor 1/5*g + 1/5*g**o + 0.
g*(g + 1)/5
Let x = 306 + -306. Let n be (x - (-12)/16)*24/81. Find d such that -2/9*d - 4/9*d**4 + 8/9*d**2 - n*d**5 - 4/9 + 4/9*d**3 = 0.
-2, -1, 1
Let f(n) be the third derivative of n**6/480 - 77*n**5/240 - 13*n**4/16 + 16*n**2 + 12*n. Factor f(v).
v*(v - 78)*(v + 1)/4
Factor -18/5*b**3 - 1024/5 + 1152/5*b - 112/5*b**2 + 2/5*b**4.
2*(b - 8)**2*(b - 1)*(b + 8)/5
Let d(c) = c**3 - 22*c**2 + 3*c - 31. Let w be d(22). Factor 14*u**2 + 10*u**2 - u**3 - w + 4*u - 2*u - u + 11.
-(u - 24)*(u - 1)*(u + 1)
Suppose -i + 3*l + 39 = 0, -2*i + 105*l - 102*l + 39 = 0. Let x = 14 - 10. Factor i*s**x - 2/5*s**3 + 1/5*s**5 + 0 + 0*s**2 + 1/5*s.
s*(s - 1)**2*(s + 1)**2/5
Suppose 1528*t**3 + 1520*t**2 + 396*t**4 + 8*t**3 + 3581*t**5 - 3577*t**5 = 0. What is t?
-95, -2, 0
Let j be 14/6 + 10592/1324 + 4/((-8)/14). Factor -10/9*x + 19/9*x**2 + j*x**3 + 1/9.
(x + 1)*(5*x - 1)*(6*x - 1)/9
Suppose -13*i - 132 = -600. Factor 7*t**2 - 7*t**2 - 6*t**2 - 16*t + i + 5*t**2.
-(t - 2)*(t + 18)
Factor 78*h**2 - 4*h**4 + 9*h - 194*h**2 + 47*h + 0*h**4 + 64*h**3.
-4*h*(h - 14)*(h - 1)**2
Let p(z) be the third derivative of z**7/11340 + z**6/648 + z**5/135 - 119*z**4/12 + 2*z**2 - 53. Let s(b) be the second derivative of p(b). Factor s(a).
2*(a + 1)*(a + 4)/9
Determine g so that -16/7*g - 7*g**3 + 9/7*g**4 + 54/7*g**2 + 0 + 2/7*g**5 = 0.
-8, 0, 1/2, 1, 2
Let o = 1953731/17 - 114925. Suppose 1 = t - 1. Let 2/17*b**4 - o*b**t + 2/17*b**3 - 10/17*b - 4/17 = 0. Calculate b.
-1, 2
Let q(w) be the second derivative of 0 + 4/9*w**3 + 257*w - 1/30*w**5 + 0*w**4 + 0*w**2. Factor q(c).
-2*c*(c - 2)*(c + 2)/3
Let w(m) = -42*m**3 - 279*m**2 + 80*m - 7. Let n(v) = 20*v**3 + 139*v**2 - 40*v + 3. Let z(i) = -14*n(i) - 6*w(i). Factor z(u).
-4*u*(u + 10)*(7*u - 2)
Factor 171/4*t + 3*t**3 + 21*t**2 + 27.
3*(t + 4)*(2*t + 3)**2/4
Suppose 52*n = -41*n - 203*n. Factor 4/7*r - 2/7*r**4 - 4/7*r**3 + n*r**2 + 2/7.
-2*(r - 1)*(r + 1)**3/7
Let s(b) be the second derivative of b**5/10 + 31*b**4/6 + 155*b**3/3 + 125*b**2 - 91*b - 2. Factor s(j).
2*(j + 1)*(j + 5)*(j + 25)
Suppose 4*w - 1 = 5*o, 217 = 33*o + w + 114. Factor -6/5*d**2 - 2/5*d**o + 6/5 + 2/5*d.
-2*(d - 1)*(d + 1)*(d + 3)/5
Let r(f) be the third derivative of f**6/72 - 11*f**5/18 + 205*f**4/72 - 50*f**3/9 - 1969*f**2. Find a, given that r(a) = 0.
1, 20
Let a(y) be the second derivative of 0 - 4*y + 0*y**2 - 4/63*y**3 - 1/210*y**5 + 2/63*y**4. Suppose a(x) = 0. Calculate x.
0, 2
Let p(o) be the first derivative of 2*o**3 - o - 4. Let s be p(1). Factor 4*c**2 + c**2 + 0*c**5 - 43*c**4 + 5*c**5 - s*c**3 + 38*c**4.
5*c**2*(c - 1)**2*(c + 1)
Let o(y) = 525 + 30*y**2 - 460 - 19*y + 2*y. Let g(s) = 13*s**2 - 9*s + 33. Let n(w) = -14*g(w) + 6*o(w). Suppose n(v) = 0. What is v?
6
Factor -313*q + 263*q + 9*q**2 - 4*q**2 - 531 - 324.
5*(q - 19)*(q + 9)
Let c(u) = -47*u - 86. Let t be c(-39). Solve -13*n**3 - t*n**4 + 1755*n**4 - n**5 - 2*n**2 + 8*n**5 = 0.
-2, -1/7, 0, 1
Factor 5/6*l**2 + 1/3*l - 1/6*l**4 + 1/2*l**3 - 1/6*l**5 + 0.
-l*(l - 2)*(l + 1)**3/6
Let q = 359 - 129. Let z = 323 - q. Suppose -z*c - 88*c + 183*c - c**2 = 0. Calculate c.
0, 2
Let k be 2/14 - (2724/(-21))/2. Suppose 0 = 4*o - k + 9. Let 23*u**4 + 16*u - 16*u**3 - o*u**4 - 11*u**4 - 30*u**2 + 32 = 0. What is u?
-4, -1, 1
Let q(u) be the first derivative of -u**3/9 - 433*u**2/3 - 187489*u/3 + 1231. Let q(x) = 0. What is x?
-433
Determine w, given that 0 + 18/11*w**4 - 32/11*w**5 + 0*w + 0*w**2 + 14/11*w**3 = 0.
-7/16, 0, 1
Let m(x) = -7*x**2 - 117*x + 37. Let t be m(-17). Let -t - 27/4*z**2 + 3/4*z**4 - 33/4*z - 3/4*z**3 = 0. What is z?
-1, 4
Factor 17/3*p**2 - 1/3*p**3 - 25*p + 33.
-(p - 11)*(p - 3)**2/3
Let p(r) = 6*r + 91. Let v be p(6). Suppose 43 - v = -28*c. Suppose 0 + 0*w**c + 0*w + 2/11*w**4 + 0*w**2 + 2/11*w**5 = 0. What is w?
-1, 0
Let k(s) = s**2 + 5*s - 4. Let d be k(-6). Suppose 5*j + c - 20 + 9 = 0, -2*j - d*c + 6 = 0. Suppose -1/2*u**j - 2 - 2*u = 0. Calculate u.
-2
Let i be (11 - 2/(-4)*(-25 - -15)) + -6. Let x be -3*(3/3 - 2). Determine c, given that 4*c**x + 10/3*c**2 - 2/3*c + i = 0.
-1, 0, 1/6
Let w(z) = -z - 2. Let u(m) = -m**2 - 105*m - 2607. Suppose 0 = 5*n + q - 10, -3*n - 2*q + 0 + 13 = 0. Let y(s) = n*u(s) - 3*w(s). Factor y(g).
-(g + 51)**2
Let c(r) be the second derivative of -r**7/11340 + r**6/405 - 4*r**5/135 - r**4/12 - 8*r**2 - 34*r. Let n(b) be the third derivative of c(b). Factor n(t).
-2*(t - 4)**2/9
Let j(h) be the third derivative of h**5/180 + 58*h**4/3 + 26912*h**3 + 58*h**2 - 15*h. Suppose j(a) = 0. What is a?
-696
Let q(p) be the second derivative of 0*p**3 + 2/105*p**7 + 0*p**2 + 8/75*p**6 - 4/15*p**4 - 1/25*p**5 + 0 + 80*p. Let q(y) = 0. Calculate y.
-4, -1, 0, 1
Solve -591*v**2 + 465708*v - 122325968 + 1/4*v**3 = 0.
788
Let f = -752 + 1810. Let g = f + -3172/3. Factor 1/3*y**2 + 0*y + 0 - 5/6*y**3 + g*y**4 - 1/6*y**5.
-y**2*(y - 2)*(y - 1)**2/6
Let b = -3/20378 + 40771/101890. Factor b*g**2 - 6/5*g - 8/5.
2*(g - 4)*(g + 1)/5
Let d(l) = 197*l - 194. Let q be d(1). Let g be 3/81*q*(425 + -62). Solve -g + 22/3*s - 1/3*s**2 = 0.
11
Suppose -56*s - 6259 = -45*s. Let x = -567 - s. Factor 0 - 2/3*h**x + 0*h.
-2*h**2/3
Let r(h) be the third derivative of -17*h**7/525 + 4*h**6/5 - 83*h**5/50 + 13*h**4/30 - 3*h**2 + 201*h. What is j in r(j) = 0?
0, 2/17, 1, 13
Let f(w) be the second derivative of -w**6/780 + 4*w**5/195 + 3*w**4/52 + 43*w**2/2 - w. Let u(b) be the first derivative of f(b). Factor u(y).
-2*y*(y - 9)*(y + 1)/13
Let d = -9 + 65. Find p such that 44*p + p - 3*p**2 + d - 8 = 0.
-1, 16
Let l = -3575/3 - -1193. Let a(r) be the first derivative of 4/5*r**5 + 5 - l*r**3 + 2*r**4 + 0*r - 4*r**2. Factor a(k).
4*k*(k - 1)*(k + 1)*(k + 2)
Let w(g) = -19*g**3 + 139*g**2 - 107*g + 13. Let v = 203 - 197. Let o(n) = -3*n**3 + 23*n**2 - 18*n + 2. Let q(c) = v*w(c) - 39*o(c). Factor q(t).
3*t*(t - 20)*(t - 1)
Let o(w) be the third derivative of -w**8/448 + w**7/280 + w**6/160 - w**5/80 - 679*w**2. Factor o(m).
-3*m**2*(m - 1)**2*(m + 1)/4
Let c = 6 + 3. Suppose 20*p - c = 17*p. Find f, given that 7*f - 20*f**3 - 5*f**5 + 35*f**p + 10*f**4 + 13*f - 40*f**2 = 0.
-2, 0, 1, 2
Let a(i) be the third derivative of -i**6/30 - 8*i**5/3 + 41*i**4/6 + 15*i**2 - 39*i + 3. Suppose a(o) = 0. Calculate o.
-41, 0, 1
Let m be 36 + -42 - (-3 + (-183)/48). Let o = 19/16 - m. Let -15/8*h**3 - 3 + 3/2*h + 9/4*h**2 + o*h**4 = 0. What is h?
-1, 2
Let c = 2081795/7 - 297395. What is x in -32/7*x**3 + 50/7 + c*x - 48/7*x**2 = 0?
-5/4, 1
Let w(u) be the third derivative of -u**5/390 - 29*u**4/39 - 113*u**3/13 + 887*u**2. Factor w(g).
-2*(g + 3)*(g + 113)/13
Let i(a) = -a**3 + 16*a**2 - 25*a - 40. Let d be i(14). Suppose 2*l**4 - 2*l**5 + 4*l + 18*l**2 - 5*l**3 - 22*l**2 + d*l**3 + 3*l**5 = 0. What is l?
-2, 0, 1
Let u(s) be the third derivative of s**7/840 - 19*s**6/360 + 8*s**5/15 - 5*s**4/2 + 22*s**3/3 + 77*s**2. Let r(v) be the first derivative of u(v). Factor r(f).
(f - 15)*(f - 2)**2
Let x(i) be the second derivative of -9/8*i**2 - 3/80*i**5 - 1/16*i**4 + 5/8*i**3 - 4*i + 2. Suppose x(v) = 0. Calculate v.
-3, 1
Let s be ((-14)/(-6) + -3)/(37202/(-639198)). Factor s - 128/11*l + 2/11*l**2.
2*(l - 63)*(l - 1)/11
Let 2/11*r**2 - 74/11*r - 240/11 = 0. What is r?
-3, 40
Let l(k) be the second derivative of k**6/20 + 9*k**5/20 - 6*k**4 + 37*k**3/2 - 99*k**2/4 + 587*k. Find d such that l(d) = 0.
-11, 1, 3
Let y(o) = 32*o + 385. Let n be y(12). Suppose -782*b + n*b = -26. Factor 24/7 - 3/7*u**b + 3*u.
-3*(u - 8)*(u + 1)/7
Let j(x) be the third derivative of 4 + 1/120*x**6 + 0*x + 6561/2*x**3 + 27/20*x**5 + 11*x**2 + 729/8*x**4. Factor j(l).
(l + 27)**3
Let r = -102953 + 720675/7. Factor 0*y**2 + 0 + 8/7*y**3 + 0*y**4 - 4/7*y**5 - r*y.
-4*y*(y - 1)**2*(y + 1)**2/7
Let y(a) be the first derivative of a**3/3 - 86*a**2 + 7396*a + 8332. Let y(q) = 0. Calculate q.
86
Let 1319*g**4 - 326*g