**2.
-k*(k + 3)/2
Factor 25/2*d**3 + 1/6*d**5 - 125/6*d**2 + 0*d - 5/2*d**4 + 0.
d**2*(d - 5)**3/6
Let n(s) be the second derivative of -s**6/120 + s**5/16 + 5*s - 34. Factor n(g).
-g**3*(g - 5)/4
Let u be 3/(825/99 + 8/(-6)). Solve 0 + 9/7*h**2 - 3/7*h + u*h**4 - 9/7*h**3 = 0.
0, 1
Let o(r) be the first derivative of r**3 + 279*r**2 + 25947*r - 172. Determine x, given that o(x) = 0.
-93
Let g = -36051/44 + 9032/11. What is u in 0*u**2 - g*u + 1/4*u**3 - 3/2 = 0?
-2, -1, 3
Let s be (-471)/8478 + (-1)/(-9)*5. Let x(a) = 2*a - 6. Let g be x(4). Factor -1/2 + i - s*i**g.
-(i - 1)**2/2
Let r(h) = -8*h**3 - 19*h**2 - 15*h - 18. Let i(j) = -7*j**3 - 18*j**2 - 17*j - 18. Let d(y) = -7*i(y) + 6*r(y). Factor d(q).
(q + 1)*(q + 2)*(q + 9)
Let v = -1406 + 1406. Let f(k) be the second derivative of -7/18*k**3 - 1/60*k**5 + 7*k - 1/2*k**2 - 5/36*k**4 + v. Let f(q) = 0. Calculate q.
-3, -1
Let x(n) = -4*n**3 + 4*n**2 - 4*n + 4. Let w = -101 + 96. Let j(u) = -3*u**3 + 3*u**2 - 4*u + 4. Let p(a) = w*j(a) + 4*x(a). Suppose p(v) = 0. Calculate v.
-2, 1, 2
Suppose 5*o + 5*p - 15 = 0, -p = o + o - 3. Suppose 4*t + o*t - 8 = 4*q, t = -q + 4. Factor 2/5 + g + 1/5*g**t + 4/5*g**2.
(g + 1)**2*(g + 2)/5
Let i(g) be the first derivative of -1/8*g**4 - g - 3 + 0*g**2 - 1/4*g**3. Let d(q) be the first derivative of i(q). Suppose d(u) = 0. What is u?
-1, 0
Let h(t) be the second derivative of -25*t**7/42 + t**6/6 + t + 71. Factor h(b).
-5*b**4*(5*b - 1)
Let f(r) be the third derivative of r**5/12 - 85*r**4/24 + 35*r**3 - 411*r**2. Find c, given that f(c) = 0.
3, 14
Let d(p) be the second derivative of 5/2*p**3 + 7/4*p**4 + 8*p + 0 + 3/2*p**2 + 9/20*p**5. Solve d(h) = 0.
-1, -1/3
Let s(f) = 3*f**5 - 13*f**4 + 47*f**3 - 48*f**2 + 22*f - 1. Let p(l) = -3*l**5 + 12*l**4 - 48*l**3 + 48*l**2 - 21*l. Let m(h) = -5*p(h) - 6*s(h). Factor m(q).
-3*(q - 2)*(q - 1)**4
Suppose 37*a = 25*a + 36. Factor p**2 + 0*p**a + 0 - p**4 - 1/2*p**5 + 1/2*p.
-p*(p - 1)*(p + 1)**3/2
Let q(s) = -4*s**2 + 31. Let a(r) = -6*r**2 + 46. Let g(o) = 5*a(o) - 8*q(o). Determine y so that g(y) = 0.
-3, 3
Let j(b) be the first derivative of 32/7*b + 2/21*b**3 - 3 - 8/7*b**2. Let j(n) = 0. Calculate n.
4
Determine j so that -4/5*j + 4*j**2 + 4/5*j**3 - 4 = 0.
-5, -1, 1
Suppose 3*s = -5*i + 35 + 12, i + 2*s = 8. Let m(f) be the first derivative of 6/5*f**2 - 2/5*f + i - 2/3*f**3. Factor m(v).
-2*(v - 1)*(5*v - 1)/5
Factor -1/2*y**2 + 5 - 3/2*y.
-(y - 2)*(y + 5)/2
Let v(l) be the second derivative of 45*l**4/2 + 545*l**3/6 + 5*l**2 + 2*l + 326. Factor v(n).
5*(n + 2)*(54*n + 1)
Suppose -9 = -2*b - 1. Suppose -z**3 - b*z**3 - 14*z**2 - 10*z - 6*z**2 + 5*z**2 = 0. Calculate z.
-2, -1, 0
Let v(r) be the third derivative of r**9/151200 - r**7/4200 + r**6/900 + r**5/12 + 6*r**2. Let z(l) be the third derivative of v(l). Find o such that z(o) = 0.
-2, 1
Let n be ((-132)/42)/(8/(-14)) + -5. Let b(z) be the first derivative of -2 + 0*z - z**2 + 0*z**3 + n*z**4. Factor b(u).
2*u*(u - 1)*(u + 1)
Let b(v) be the third derivative of v**6/200 + 29*v**5/100 - v**4/40 - 29*v**3/10 + 1007*v**2. Factor b(r).
3*(r - 1)*(r + 1)*(r + 29)/5
Suppose -2*w = -3 - 5. Solve 6*l**3 + 2*l**4 + l - w*l - 4*l**4 - 6*l**2 + 5*l = 0 for l.
0, 1
Factor 173 - 536 + 55*z - 116*z**3 + 13*z**2 + 6*z**2 + 117*z**3.
(z - 3)*(z + 11)**2
Let z be (3/2)/(9/12). Suppose 6 = z*h - 2*c, -4*c + 3 = 4*h - 9. Determine q so that q**3 - q - q**2 + q**2 + 3*q**2 - 4*q**h + q**4 = 0.
0, 1
Let z = -2 - -7. Suppose -3*t = z*d - 24, -3*d - 4*t + 13 = -8. Factor -y**d - 8 + 2*y**3 - 3*y - 5 + 15.
(y - 1)**2*(y + 2)
Let f(j) be the third derivative of 0*j - 1/4*j**4 + 39*j**2 + 3/4*j**3 + 1/40*j**5 + 0. Let f(k) = 0. Calculate k.
1, 3
Let i(t) = t**2 - 15*t - 13. Let q be i(16). Suppose 18*r**2 + 16*r + 3 - 49*r + 15 - q*r**3 = 0. Calculate r.
1, 2, 3
Suppose 74/5*f**2 + 2/5*f**5 + 6*f**4 + 78/5*f**3 + 24/5*f + 0 = 0. What is f?
-12, -1, 0
Let i(b) be the second derivative of b**6/120 + 2*b**5/5 + 8*b**4 - 5*b**3/3 + 15*b. Let n(j) be the second derivative of i(j). Solve n(u) = 0 for u.
-8
Let d = -8668 - -346679/40. Let n = d + 13/8. Suppose 3/5*a**3 + 0 - 3/5*a**5 - n*a**4 + 3/5*a**2 + 0*a = 0. What is a?
-1, 0, 1
Find q, given that 0 - 1/4*q**3 + q + 0*q**2 = 0.
-2, 0, 2
Suppose -4*o + 3*j = -20, -4*j = 2*o + 3*o - 56. Suppose -7 = r - o*r. Determine z so that -3*z**2 + 76*z**3 - 75*z**3 + 3*z - r + 0 = 0.
1
Let x = 10836 + -10836. Factor x + 5/8*g**2 - 1/4*g + 3/8*g**3.
g*(g + 2)*(3*g - 1)/8
Suppose -2*l - 6 = 2*c, 5*c + 35 - 14 = -2*l. Factor -12*z - 2*z**4 + 0 + 4*z**3 - 4*z + l + 12*z.
-2*(z - 1)**3*(z + 1)
Let f(i) be the first derivative of -1/210*i**5 + 0*i + 0*i**3 + 7*i**2 + 1/42*i**4 + 12. Let b(u) be the second derivative of f(u). Factor b(z).
-2*z*(z - 2)/7
Let k(s) be the second derivative of -s**6/24 + s**5/6 - 5*s**4/24 - 5*s**3/3 - 9*s. Let c(u) be the second derivative of k(u). Suppose c(b) = 0. Calculate b.
1/3, 1
Let -3481/3 - 352/3*o**3 + 3402*o**2 + o**4 + 2360*o = 0. What is o?
-1, 1/3, 59
Let n(t) be the first derivative of -t**3 + 33*t**2/2 - 54*t - 80. What is i in n(i) = 0?
2, 9
Let j(a) be the third derivative of -a**8/1176 - 4*a**7/49 + 61*a**6/420 + 3*a**2 + 98. Factor j(w).
-2*w**3*(w - 1)*(w + 61)/7
Let j = 5268/35425 - -14/2725. Let u be 5*-1*(-2)/2. Determine c so that 0 - 2/13*c - j*c**u + 0*c**2 + 4/13*c**3 + 0*c**4 = 0.
-1, 0, 1
Suppose -q = -4*w + 3, 2*q + 10 = 4*q. Determine y so that 4 + y**2 - 4*y**2 - y**2 + 0*y + 2*y - w*y**3 = 0.
-2, -1, 1
Let p = 77/78 + -5/6. Let n be (-4)/6 + (-128)/(-156). Suppose n*b**4 - p*b**2 - 2/13*b**5 + 0 + 0*b + 2/13*b**3 = 0. What is b?
-1, 0, 1
Let r be 396/144 - (-1)/4. Factor 0 - 2/15*h**r + 2/5*h**2 - 4/15*h.
-2*h*(h - 2)*(h - 1)/15
Factor -14 + 23*r + 22*r**2 + 30 - 75*r.
2*(r - 2)*(11*r - 4)
Find a, given that -72/7*a**3 - 1296/7*a - 468/7*a**2 - 1296/7 - 4/7*a**4 = 0.
-6, -3
Solve -48/7*y**2 - 44/7*y**3 + 16/7 - 8/7*y**4 + 4/7*y = 0.
-4, -1, 1/2
Let b(d) be the second derivative of 0*d**2 - 1/36*d**4 + 0*d**3 - 15*d + 0 + 1/120*d**5. Factor b(c).
c**2*(c - 2)/6
Let n(t) = t**2 - 4. Let f(l) = -35*l**2 - 140*l - 540. Let a(o) = -f(o) - 30*n(o). Find w, given that a(w) = 0.
-22, -6
Let m(n) be the first derivative of 0*n - 5/12*n**4 - 5/3*n**2 + 5/3*n**3 - 4. Suppose m(r) = 0. What is r?
0, 1, 2
Let a(i) be the third derivative of 0 - 6*i**2 + 5/3*i**3 + 1/6*i**4 + 1/150*i**5 + 0*i. Solve a(x) = 0.
-5
Let z(k) be the first derivative of 150*k**2 + 27 - 230/3*k**3 - 125*k + 15*k**4 - k**5. Factor z(o).
-5*(o - 5)**2*(o - 1)**2
Let t be 4 - (-12 + (-374)/(-33) + 4). Factor -2/15*z**2 + t*z - 8/15.
-2*(z - 4)*(z - 1)/15
Let x(l) be the first derivative of -4*l**5/15 - 5*l**4/6 + 8*l**3/9 + l**2 - 44. What is r in x(r) = 0?
-3, -1/2, 0, 1
Suppose 0 = -2*q + 32 - 12. Suppose -q + 16 = 2*t. Factor -t*s - 1/2*s**2 - 9/2.
-(s + 3)**2/2
Solve 0 - 1/5*u**2 + 49/5*u = 0.
0, 49
Let n(b) be the second derivative of -b**5/60 + 11*b**4/18 + 50*b**3/9 + 52*b**2/3 - 467*b + 1. Suppose n(k) = 0. Calculate k.
-2, 26
Suppose 5*z + 4*a - 6 = 0, -2*z = a - 2 - 1. Let y(h) be the first derivative of -9/2*h**2 + z*h + 7/3*h**3 + 4. Let y(f) = 0. What is f?
2/7, 1
Suppose -4*f = -3*n - 32, f + 24 = 5*f - n. Factor -5*z**4 + 10*z**2 + 549*z**f + 17*z**3 - 554*z**5 - 5 - 5*z - 7*z**3.
-5*(z - 1)**2*(z + 1)**3
Let -5/3*g**3 - 275/3 - 185*g - 95*g**2 = 0. What is g?
-55, -1
Let w be (-27 - -21)*22/(-33). What is a in -32/5*a**w - 4/5*a**2 + 0*a + 0 + 64/5*a**5 - 28/5*a**3 = 0?
-1/4, 0, 1
Let s = 2016 + -2013. Suppose 0*m**s + 4/3*m**4 - 4*m**2 + 0 - 8/3*m = 0. Calculate m.
-1, 0, 2
Suppose 5*a = -3*o + 34, 26 = 2*o - 761*a + 765*a. Let -2/5*z**4 + 0*z + 18/5*z**2 + 0 - 16/5*z**o = 0. What is z?
-9, 0, 1
Let d(o) be the first derivative of -o**4/24 - o**3/12 + o**2/2 + 35*o - 6. Let k(m) be the first derivative of d(m). Factor k(a).
-(a - 1)*(a + 2)/2
Suppose 4*h + 20 = 4*j, -56*j + 60*j + h - 10 = 0. Let a(r) be the second derivative of -1/6*r**4 + j*r - 1/3*r**3 + 0 + 2*r**2. Determine f so that a(f) = 0.
-2, 1
Let n(g) be the second derivative of 1/24*g**4 + 7/2*g**2 + 0 - 7/120*g**5 + 0*g**3 - 3*g. Let f(z) be the first derivative of n(z). Factor f(j).
-j*(7*j - 2)/2
Let m(z) = 2*z**2 - 80*z - 1356. Let f(n)