of -p**4/12 - 29*p**3/9 + 120. Factor z(r).
-r**2*(r + 29)/3
Suppose -9*y + 12*y + 96 = 0. Let l be (10/(-4))/(y + 22). Find s such that -1/2 + 1/4*s**2 + l*s = 0.
-2, 1
Let y be (-276)/(-34) - (-6)/(-51). Suppose 4*c + y - 16 = -4*a, 0 = -2*a + 3*c + 9. Factor -2/7*q + 2/7*q**2 + 6/7*q**4 + 0 + 10/7*q**a.
2*q*(q + 1)**2*(3*q - 1)/7
Let c(u) be the third derivative of -1/120*u**5 - 1/48*u**4 + 0 + 0*u - 39*u**2 + 1/6*u**3. Factor c(g).
-(g - 1)*(g + 2)/2
Let n be (9591/460 - 21)/((-2)/10). Factor 0 - 3/4*h**2 + 7/4*h**4 + 3/4*h**5 - 1/2*h + n*h**3.
h*(h + 1)**3*(3*h - 2)/4
Let u(f) = -f**2 - 11*f - 11. Let k be u(-8). Let r = k + 22. Solve r + 40*x - 110 - 10*x - 3*x**2 = 0 for x.
5
Let d(x) be the third derivative of x**8/20160 + x**7/5040 - x**6/360 + 7*x**5/60 - 14*x**2. Let f(m) be the third derivative of d(m). Let f(s) = 0. What is s?
-2, 1
Let o(m) be the second derivative of -2*m**6/15 + 18*m**5/5 - 19*m**4 - 520*m**3/3 + 600*m**2 - 527*m. Solve o(c) = 0.
-3, 1, 10
Let s(p) be the third derivative of 0*p + 1/42*p**8 - 22/15*p**5 + 9/10*p**6 + 0 - 5/21*p**7 - 14*p**2 + 2/3*p**4 + 0*p**3. Find g, given that s(g) = 0.
0, 1/4, 2
Let g(x) be the first derivative of 5*x**4/24 - 35*x**2/12 - 5*x + 85. Factor g(h).
5*(h - 3)*(h + 1)*(h + 2)/6
Suppose 0 = 68*f - 67*f. Let k(v) be the third derivative of 0*v**4 - 1/240*v**5 + 1/840*v**7 + 0*v + 5*v**2 + 0*v**3 + f + 0*v**6. Find n such that k(n) = 0.
-1, 0, 1
Let c(u) be the first derivative of 16*u**5/5 - 8*u**4 - 4*u**3 + 14*u**2 - 8*u + 260. Determine x so that c(x) = 0.
-1, 1/2, 2
Let q be (-121)/44 + 3 + 26/(-144). Let r = q + 59/72. Solve -20/9*n**4 + 28/9*n**2 - r - 4/3*n**3 + 4/3*n = 0 for n.
-1, 2/5, 1
Let t(j) be the second derivative of j**4/126 - 10*j**3/63 + 25*j**2/21 - 64*j. Factor t(p).
2*(p - 5)**2/21
Let p(r) be the first derivative of 2*r**3/39 - 42*r**2/13 - 50. Solve p(n) = 0.
0, 42
Let a(s) be the third derivative of -s**7/210 + s**6/40 + s**5/15 - 76*s**2. Factor a(u).
-u**2*(u - 4)*(u + 1)
Let k(d) be the second derivative of -d**6/840 - d**5/140 + 10*d**2 - 19*d. Let s(j) be the first derivative of k(j). Find a such that s(a) = 0.
-3, 0
Suppose -44*p + 103*p - 264 = -28. Factor -p*k + 1/2*k**2 + 8.
(k - 4)**2/2
Let k be 6*178*(8/10)/(-4). Let d = 214 + k. What is g in d*g**3 + 0 + 2/5*g**5 - 4/5*g**4 + 0*g + 0*g**2 = 0?
0, 1
Factor -729/2*i - 81/2*i**2 - 2187/2 - 3/2*i**3.
-3*(i + 9)**3/2
Let r(t) be the first derivative of -1/9*t**4 + 16/9*t - 4/27*t**3 - 2 + 8/9*t**2. Factor r(g).
-4*(g - 2)*(g + 1)*(g + 2)/9
Let y(j) be the second derivative of -j**6/75 + 19*j**5/25 - 397*j**4/30 + 228*j**3/5 - 324*j**2/5 - 146*j. Factor y(p).
-2*(p - 18)**2*(p - 1)**2/5
Suppose -2*x = -q, -4*x = -q - 0*q - 4. Let u(r) be the third derivative of 0*r**4 + 0*r + 1/60*r**6 + 0*r**3 - 1/42*r**7 + 0*r**5 + 5*r**x + 0. Factor u(w).
-w**3*(5*w - 2)
Let w(x) be the third derivative of -5*x**8/336 + x**7/7 - 11*x**6/24 + x**5/6 + 5*x**4/2 - 20*x**3/3 - 321*x**2. Factor w(l).
-5*(l - 2)**3*(l - 1)*(l + 1)
Suppose 10*y = 7*y + 108. Factor -4*h**5 - 10*h**2 - 9 + y*h**4 + 21 + 98*h**2 - 8*h**4 - 72*h**3 - 52*h.
-4*(h - 3)*(h - 1)**4
Let x(b) be the second derivative of 10*b**7/21 + 5*b**6/2 - 7*b**5 - 25*b**4/6 + 20*b**3 - 25*b**2/2 - 88*b + 2. Determine a, given that x(a) = 0.
-5, -1, 1/4, 1
Let l(w) = 7*w**2 + 21*w + 17. Let y(g) = 2*g**2 - 1. Let n(b) = -l(b) + 3*y(b). What is q in n(q) = 0?
-20, -1
Suppose -3*c = -4*x + 12, 6*x = x + 5*c + 20. Factor -9/8*j + 3/8*j**2 + x.
3*j*(j - 3)/8
Let m(f) be the second derivative of -f**7/21 - 2*f**6/15 + 7*f**5/5 - 4*f**4/3 - 13*f**3/3 + 10*f**2 + 30*f + 1. Suppose m(j) = 0. What is j?
-5, -1, 1, 2
Let r be (65/1170)/((-2)/(-18)). Find v, given that -3/2*v + 0 - v**2 + r*v**3 = 0.
-1, 0, 3
Let q be 14/(-63) - 1786/(-1881). Solve 26/11*k + q - 6/11*k**4 - 2/11*k**2 - 26/11*k**3 = 0.
-4, -1, -1/3, 1
Let t(z) = 9*z**3 - 39*z**2 + 66*z - 48. Let p(v) = 8*v**3 - 37*v**2 + 67*v - 48. Let j(x) = 6*p(x) - 5*t(x). Determine q, given that j(q) = 0.
1, 4
Suppose 4*w = 5*l + 23, 6 + 17 = 3*w + 2*l. Let h = 9 - w. Factor -2 + h + 0*d**4 + 4*d**4 + 8*d**3.
4*d**3*(d + 2)
Let s be ((-57)/21 - -1)*-7. Suppose y - s = 2*y - 3*l, 0 = 5*y - 2*l + 8. Find h, given that 4/3*h**4 + 0 + y*h**2 + 0*h - 2/3*h**3 = 0.
0, 1/2
Let m(i) be the second derivative of -4*i**6/15 + i**4/2 + i**3/3 - 46*i. Factor m(a).
-2*a*(a - 1)*(2*a + 1)**2
Let s(x) be the third derivative of -4/3*x**3 + 0*x + 323/240*x**6 + 7/5*x**5 + 21*x**2 + 0 + 1/6*x**7 - 5/12*x**4. Suppose s(m) = 0. What is m?
-4, -1/2, -2/5, 2/7
Let z be -3*((-2)/(-3))/(-1). Let t(u) = u**3 - 4*u**2 - 5*u - 2. Let l(b) = -b**3 + 5*b**2 + 6*b + 3. Let s(w) = z*l(w) + 3*t(w). Let s(v) = 0. What is v?
-1, 0, 3
Suppose -2*h - 16 = -6*h + 2*s, -2*h = -5*s. Solve 28*l - 5 + h*l**2 - 2 - 1 - 25*l**2 = 0 for l.
2/5, 1
Let k(b) be the second derivative of 1/20*b**5 + 0 + 1/24*b**4 + 0*b**2 - 1/60*b**6 + 25*b - 1/6*b**3. Factor k(p).
-p*(p - 2)*(p - 1)*(p + 1)/2
Suppose 5*p - 33 = -2*m, -21 = -5*p + 2*m - 4. Suppose 0*s + 13 = -r + 3*s, -p*r + 35 = 5*s. What is l in -16/7*l - 32/7 - 2/7*l**r = 0?
-4
Let i(r) = -85176*r**3 + 33050*r**2 - 2709*r + 64. Let b(s) = 21294*s**3 - 8262*s**2 + 677*s - 16. Let d(m) = -22*b(m) - 6*i(m). Factor d(n).
4*(7*n - 2)*(39*n - 2)**2
Let f(h) be the first derivative of h**6/240 + h**5/30 + h**4/16 - 5*h**2 + 5. Let w(z) be the second derivative of f(z). Factor w(i).
i*(i + 1)*(i + 3)/2
Let h = 6649/18 - 369. Let d = 1/9 + h. Factor -1/4 - 1/4*i**2 - d*i.
-(i + 1)**2/4
Let g be (-15)/(3*(-3)/(-9)). Let n be ((-18)/g)/(4/10). Factor 2*a**4 - a**4 - a**n - 2*a**4.
-a**3*(a + 1)
Let k(c) be the third derivative of c**5/330 - 5*c**4/66 + 3*c**3/11 - 4*c**2 - c. What is b in k(b) = 0?
1, 9
Factor 5/4*s**2 + 0*s - 1/4*s**3 + 0.
-s**2*(s - 5)/4
Let d(b) = b**2 + 6*b - 3. Let m be d(-7). What is o in -m - 20*o**4 + 13*o**4 + 10*o**2 + 1 - o - 2*o**5 + 3*o = 0?
-3, -1, 1/2, 1
Factor -15*z**4 + 30*z + 45 - 24*z**2 + 10*z**4 - 16*z**2 - 30*z**3.
-5*(z - 1)*(z + 1)*(z + 3)**2
Let y be (-8)/66*154/(-42). Factor 2/9*u**3 + 0 + 2/9*u - y*u**2.
2*u*(u - 1)**2/9
Let w = -2767/292011 + 3/893. Let k = 37/109 + w. Determine h, given that -13/3*h**3 + 8/3*h**5 + 5/3*h + 2/3*h**4 - k - 1/3*h**2 = 0.
-1, 1/4, 1/2, 1
Let f(x) be the second derivative of 5/18*x**3 + 1/18*x**4 - 1/12*x**5 + 0 - 38*x - 1/3*x**2. Find c, given that f(c) = 0.
-1, 2/5, 1
Let x = -233/8 + 235/8. What is g in -x*g**2 - 2*g - 4 = 0?
-4
Factor -17*h + 0 - 1/2*h**4 + 9*h**3 - 15/2*h**2.
-h*(h - 17)*(h - 2)*(h + 1)/2
Let m(t) be the third derivative of -t**6/60 + 3*t**5/40 + 5*t**4/8 - 9*t**3/2 + 4*t**2. Let h(g) be the first derivative of m(g). Factor h(r).
-3*(r + 1)*(2*r - 5)
Let c(d) = -7*d - 52. Let f be c(-9). Suppose -2*p + 2*o - 4 = -3*p, -4*p + f = 3*o. Factor -1/4*u - 1/4*u**3 + 0 + 1/2*u**p.
-u*(u - 1)**2/4
Let v = -984 - -986. Solve -1/2*j**v + 0 + j = 0 for j.
0, 2
Let g = 163/10 - 29/2. Factor -2/5*m**3 + 2/5*m + g*m**4 - 9/5*m**2 + 0.
m*(m - 1)*(m + 1)*(9*m - 2)/5
Let p = 133 + -131. Let f(t) be the second derivative of 0*t**4 + 4*t + 0 + 1/4*t**3 - 1/40*t**5 - 1/2*t**p. Factor f(m).
-(m - 1)**2*(m + 2)/2
Let y(o) = o**2 - o + 2. Let t be y(3). Let i be ((-7)/(70/(-60)))/((-8)/(-4)). Suppose 2*d**2 + 6*d**3 - i*d**3 + 8 - t = 0. Calculate d.
-2/3, 0
Let i(u) be the third derivative of u**6/360 - u**5/30 - 3*u**3/2 + 20*u**2. Let z(p) be the first derivative of i(p). Factor z(j).
j*(j - 4)
Suppose -282*a = -5*v - 287*a + 25, -a = -3. Suppose 0 - 1/2*z**v + z = 0. What is z?
0, 2
Factor -92/7 + 50/7*n - 2/7*n**2.
-2*(n - 23)*(n - 2)/7
Let q(f) be the first derivative of 0*f**4 + 13 + 0*f**2 + 0*f - 2/25*f**5 + 2/15*f**3. Solve q(r) = 0 for r.
-1, 0, 1
Suppose 5*u - 2*u = 2*g + 56, -3*u = 5*g + 119. Let h be (15/g)/((-2)/10). Factor 12*r**3 - 3*r**h - 3*r**2 - 6*r + r**3 - r**3.
3*r*(r - 1)*(3*r + 2)
Let m = 655 - 652. Let t(u) be the first derivative of 2 - 1/2*u**2 + 1/4*u**4 + 1/3*u**m - u. Solve t(f) = 0 for f.
-1, 1
Let y be -9 + (-222)/(-15) - 5. What is f in -6/5*f - 2/5*f**2 - y = 0?
-2, -1
Factor 6/5*a**2 + 81/5*a + 39/5.
3*(a + 13)*(2*a + 1)/5
Let b(j) = 5*j**2 - 8*j - 3. Let k(u) be the second derivative of 5*u**4/6 - 17*u**3/6 - 