o**3.
-o*(o - 1)*(o + 1)**2
Let h = 3505/2 + -1748. Factor h + 1/8*m**2 + 3/2*m.
(m + 6)**2/8
Let 76521 + 123933*y + 1146*y**2 + 14189 + 40803*y + 2*y**3 + 72882 = 0. Calculate y.
-286, -1
Let z = -1 - -9. Let 17*y**2 - 22*y**2 + 7 - z*y + 8 - 2*y = 0. Calculate y.
-3, 1
Factor 2/7*u**3 - 132/7 + 12/7*u**2 - 122/7*u.
2*(u - 6)*(u + 1)*(u + 11)/7
Suppose -37*i + 3*c = -36*i - 12, 2*i - 2*c = 8. Let t(o) be the second derivative of -5/6*o**3 - 17*o + 0 + 5/48*o**4 + i*o**2. Find y such that t(y) = 0.
0, 4
Let s be 3798/(-4431) - (0 + (-12)/14). Factor -4/3*o**2 + s*o + 16/3.
-4*(o - 2)*(o + 2)/3
Let r(a) be the third derivative of a**7/210 + a**6/8 + 9*a**5/10 + 5*a**4/3 + a**2 + 1410*a. Factor r(u).
u*(u + 1)*(u + 4)*(u + 10)
Let h(y) be the third derivative of -y**5/12 + 25*y**4/6 - 125*y**3/2 - 3*y**2 + 138*y + 5. Find d, given that h(d) = 0.
5, 15
Let c(a) = 15*a**4 - 2056*a**3 + 6435*a**2 - 6405*a + 2130. Let i(k) = 5*k**4 - 683*k**3 + 2145*k**2 - 2135*k + 710. Let m(y) = 6*c(y) - 17*i(y). Factor m(f).
5*(f - 142)*(f - 1)**3
Let m(d) be the third derivative of -95*d**8/112 - 13*d**7/42 + 115*d**6/12 + 13*d**5/3 - 5*d**4/3 - 26*d**2 + 53*d. Solve m(n) = 0 for n.
-2, -1/3, 0, 2/19, 2
Let g(h) be the second derivative of 226/57*h**3 - 3 - 377/114*h**4 - 3/19*h**6 + 64/19*h**2 + 35*h - 726/95*h**5. Find t, given that g(t) = 0.
-32, -1/3, 2/5
Let t(l) = 3*l**5 - 166*l**4 + 255*l**3 - 400*l**2 + 198*l. Let x(r) = r**5 - 56*r**4 + r**3 - 2*r**2 + r. Let g(c) = -t(c) + 2*x(c). Solve g(y) = 0 for y.
0, 1, 2, 49
Let m(l) = -l**3 - 13*l**2 - 39*l + 56. Let n be m(-6). Suppose -3*b = b. Determine o, given that n*o - 313*o**2 + 321*o**2 + 1 - 11 + b = 0.
-5, 1/4
Let i be ((-1545)/2781*12/10)/((-8)/3). Factor 1/4 - 4*c**3 - i*c**2 + 4*c.
-(c - 1)*(c + 1)*(16*c + 1)/4
Let q(u) = 3*u**2 - 32*u + 32. Let w be q(0). Suppose 0 = -w*c - 13*c + 225. Solve -15/2*l**4 + 0 - 45/2*l**2 + c*l + 25*l**3 = 0 for l.
0, 1/3, 1, 2
Let i(o) = -o**3 + 295*o**2 - 20698*o - 360. Let p be i(180). Factor p + 2*w**3 + 0*w - 20/17*w**2 - 12/17*w**4.
-2*w**2*(w - 2)*(6*w - 5)/17
Suppose 12 = 4*u - 2*o, -u = -3*o + 19 - 27. Let c(j) = 157*j**3 - 74*j**2 + 6*j - 2. Let s(g) = -g**3 + g**2 - g + 1. Let z(v) = u*s(v) + c(v). Factor z(d).
d*(5*d - 2)*(31*d - 2)
Let j = -66 - -71. Let r(u) = 25*u - 20. Let q be r(j). Suppose -c**4 - 6*c + c**2 + q*c**3 + 4*c - c**5 - 102*c**3 = 0. Calculate c.
-2, -1, 0, 1
Let o(v) be the first derivative of -56*v**3 + 0*v + 86 - 72*v**2 + 35/24*v**6 + 209/5*v**5 + 1235/4*v**4. Determine l so that o(l) = 0.
-12, -2/7, 0, 2/5
Let o be (66/(-36) - (-27)/81)*-2*1. Let v(g) be the second derivative of 15/2*g**2 + 5/12*g**4 - 10/3*g**o + 0 + 18*g. Factor v(p).
5*(p - 3)*(p - 1)
Let t be (140/(-21))/(8/12). Let w(b) = -2*b - 20. Let x be w(t). Find q, given that 0 + x*q + 2/13*q**3 + 0*q**2 = 0.
0
Let s(o) = -o - 18. Let a be s(-15). Let w be a + -3*6/36 - -4. Factor w*q**3 - 1/2*q**4 + 1/6*q**5 - 1/6*q**2 + 0*q + 0.
q**2*(q - 1)**3/6
Let 184/5*a**3 - 45632/5*a - 246016/5 - 4/5*a**4 - 132/5*a**2 = 0. Calculate a.
-8, 31
Let m(y) be the first derivative of -14*y**5 + 10/3*y**3 + 5/6*y**6 + 30*y**4 - 114 + 60*y - 125/2*y**2. Determine o so that m(o) = 0.
-1, 1, 12
Suppose -6*z + 3*d + 45 = 0, 0 = 192*z - 196*z - 3*d - 25. Determine a, given that -2/17*a**z + 22/17*a + 24/17 = 0.
-1, 12
Let i(w) = -w**4 + w**2. Let v(f) = -f**4 + 35*f**3 - 59*f**2 - 215*f - 120. Let s(z) = 6*i(z) - v(z). Factor s(o).
-5*(o - 3)*(o + 1)**2*(o + 8)
Let m(f) = 135*f**2 - 215*f + 135. Let v(j) = -5 + 8*j + 0*j**2 - 3*j**2 - 2*j**2. Let c be 2/28 + (-580)/280. Let k(o) = c*m(o) - 55*v(o). Factor k(r).
5*(r - 1)**2
Let i(o) be the second derivative of o**4/3 - 1450*o**3/3 - 75*o + 2. Determine x, given that i(x) = 0.
0, 725
Suppose 0 = 4*n + 4*b - 680, 2*n = 3*n + 4*b - 167. Let o be (-2)/4*(-114)/n. Factor -o*x - 1/3*x**4 - x**2 - x**3 + 0.
-x*(x + 1)**3/3
Let h(p) be the first derivative of -p**8/2800 + 3*p**7/280 - 9*p**6/200 + 13*p**5/200 + 31*p**3 + 215. Let l(n) be the third derivative of h(n). Factor l(j).
-3*j*(j - 13)*(j - 1)**2/5
Let h(x) = 1083*x**2 - 14*x + 5. Let b be h(1). Let m = b + -1072. Find z such that 2/11*z**5 + 8/11*z**m + 12/11*z**4 + 0 + 18/11*z**3 + 0*z = 0.
-4, -1, 0
Let a(p) = 2*p**4 - 3*p**2 - p + 1. Suppose 0 = 5*b - 10 - 20. Let q be (-3)/((-9)/(-1))*b. Let t(w) = w**4 + w**3 - 1. Let g(c) = q*a(c) - 2*t(c). Factor g(z).
-2*z*(z - 1)*(z + 1)*(3*z + 1)
Let m(u) = -6*u**3 + 6*u**2 - 13*u. Let l(n) = -4*n**2 - 3*n**3 - 6*n + 8*n**2 - n**2. Let i(j) = -13*l(j) + 6*m(j). Suppose i(s) = 0. What is s?
0, 1
Suppose -454*z + 624 + 169 = -393*z. Let h(r) be the third derivative of -z*r - 1/20*r**5 - 2*r**2 + 7/4*r**4 - 49/2*r**3 + 0. Let h(s) = 0. Calculate s.
7
Let k(y) = -y**2 - 13*y - 1. Let b(v) = 2*v**3 - 160*v**2 + 3852*v - 17324. Let f(l) = -b(l) - 4*k(l). Factor f(w).
-2*(w - 38)**2*(w - 6)
Solve 160*l**2 - 406 - 258*l + 403*l + 5*l**5 - 75*l**3 - 10*l**4 + 256 - 75*l**3 = 0 for l.
-5, -1, 1, 6
Determine x, given that -53/5*x**4 + 782/5*x**2 - 135*x + 1/5*x**5 + 674/5*x**3 - 729/5 = 0.
-1, 1, 27
Suppose 1062 - 279 = 261*j. Factor 200/7*x**2 + 20*x + 20/7*x**4 - 4/7*x**5 + 120/7*x**j + 36/7.
-4*(x - 9)*(x + 1)**4/7
Factor 1/8*d**2 + 180625/8 + 425/4*d.
(d + 425)**2/8
Let d be 4 + 6/(6/(-1)). Factor d*f + 150 + 16*f + 25*f + 3*f**2 + 21*f - 8*f**2.
-5*(f - 15)*(f + 2)
Find t, given that -20*t + 112/3 + 2/3*t**2 = 0.
2, 28
Let g be (2 + -3 - 0) + 5. Suppose 0*q = k - g*q + 14, -2*k + 2 = 2*q. Let p(x) = -2*x**2 + 2. Let z(d) = -d**2 + 1. Let h(l) = k*p(l) + 7*z(l). Factor h(u).
-3*(u - 1)*(u + 1)
Let w(b) = -2*b**2 + 55*b + 18751. Let f be w(-84). Factor f*q - 1/2*q**2 - 361/2.
-(q - 19)**2/2
Let u be 60/75 - (-282)/235. What is s in -8*s**4 + 28/3*s**u + 3*s**3 + 0 - 4*s + 7/3*s**5 = 0?
-1, 0, 3/7, 2
Let h(z) = -4*z**3 - 16*z**2 + 6. Suppose 33 = 8*w + 81. Let u(b) = -8*b**3 - 32*b**2 + 11. Let p(d) = w*u(d) + 11*h(d). Factor p(j).
4*j**2*(j + 4)
Let c = -11 + -6. Let u(h) = -2*h - 30. Let x be u(c). Factor 0*q**2 - x*q + 2*q**2 + q**2 + 64 - 63.
(q - 1)*(3*q - 1)
Let u(w) = w**3 + 4*w**2 + 2*w + 3. Let l be u(-2). Suppose -2*q + 48 = 3*q - a, -5*q - 5*a + 60 = 0. Factor -2*o - 4 - l - o**2 + q.
-(o + 1)**2
Factor -670/3*v + 3*v**2 + 296/3.
(v - 74)*(9*v - 4)/3
Solve 524/3*q - 1/3*q**2 + 175 = 0.
-1, 525
Let t(j) be the second derivative of -j**5/20 + 5*j**4/12 - 2*j**3/3 + 13*j + 53. Let t(q) = 0. Calculate q.
0, 1, 4
Determine d, given that 214/7*d + 1/7*d**3 + 0 - 109/7*d**2 = 0.
0, 2, 107
Suppose -3*a + 6 = -5*x, -9*x - 5*a = -12*x + 6. Let b be ((x/(-2))/(-3))/(17/(-85)). Factor -b*k - 3 + 1/2*k**2.
(k - 6)*(k + 1)/2
Let j(c) be the first derivative of 5*c**3/3 - 1665*c**2 - 3335*c + 11690. Determine v so that j(v) = 0.
-1, 667
Suppose 2*w - 37*w = -69*w. Factor -64/5*n**2 + w + 26/5*n**3 - 3/5*n**4 + 32/5*n.
-n*(n - 4)**2*(3*n - 2)/5
Let m = -212917/59412 - -2/4951. Let o = 47/12 + m. Factor -o*q**2 - 7/3 + 8/3*q.
-(q - 7)*(q - 1)/3
Let x(f) = 14*f**2 - 12*f - 50. Let n be x(6). Let p = n + -1142/3. Factor -p*g - 2/3 - 2/3*g**2.
-2*(g + 1)**2/3
Let v = -3931 + 243711/62. Let d = v + 21/31. Determine x so that -1/4*x + 1/2*x**3 + d*x**4 - 1/4*x**5 + 1/2 - x**2 = 0.
-1, 1, 2
Solve 294/5*c**3 + 518/5*c**2 + 58*c + 10 = 0 for c.
-5/7, -1/3
Let n(m) be the first derivative of 2*m**3/3 - 688*m**2 + 236672*m + 1516. Factor n(p).
2*(p - 344)**2
Let z = 76 + -74. Determine s so that 4*s**z + 180*s**3 + s - 186*s**3 + s = 0.
-1/3, 0, 1
Let q(u) = 1778*u + 19560. Let b be q(-11). Let 44/9*s**2 + 2/9*s**4 + b - 16/3*s - 16/9*s**3 = 0. What is s?
1, 3
Let k(d) be the first derivative of -2*d**7/21 + 2*d**6/5 - 2*d**5/5 - 51*d - 234. Let c(j) be the first derivative of k(j). Factor c(p).
-4*p**3*(p - 2)*(p - 1)
Let b(o) = 4*o**5 - 74*o**4 - 590*o**3 - 940*o**2 - 4*o. Let z(a) = 3*a**4 - a**3 - 2*a**2 - 2*a. Let s(h) = -b(h) + 2*z(h). Find j, given that s(j) = 0.
-3, 0, 26
Let c = 936 + -23412/25. Let f = 18/25 - c. Solve -1/10*t**2 - 18/5 - f*t = 0.
-6
Let n(m) = m**2 + 21*m + 2. Let r be n(0). Let j(g) be the first derivative of 9/2*g**r + 3/4*g**4 - 1 - 3*g**3 - 3*g. Factor j(k).
3*(k - 1)**3
Let r(m) be the first derivative of 98 + 0*m - 1/3*m**2 - 1/27*m**