y**3.
5*y*(y - 1)*(5*y - 11)
Factor -2/3*k**2 + 196/3*k - 128.
-2*(k - 96)*(k - 2)/3
Let m = -900512/7 - -128645. Factor -3*q**3 - 3/7*q**2 + 3*q + 0 + m*q**4.
3*q*(q - 7)*(q - 1)*(q + 1)/7
Let l be 3/1 + (-5 - (-1624)/7). Let i = l - 228. Factor -8/3 + 8/3*y**3 - 34/3*y**i + 40/3*y.
2*(y - 2)**2*(4*y - 1)/3
Suppose -2*i = -85 + 83. Let k(x) = -x**3 + x - 1. Let m(t) = 9*t**3 - 15*t. Let f(w) = i*m(w) + 6*k(w). Solve f(l) = 0 for l.
-1, 2
Let f(z) be the first derivative of -z**3 + 33*z**2/2 + 726*z + 43. Find d, given that f(d) = 0.
-11, 22
Find t such that -41292*t**2 - 1008*t**2 - 62560*t - 13001*t**3 + 23719*t - 49519*t - 945*t**4 + 58111*t**3 + 5*t**5 = 0.
-1, 0, 2, 94
Let u(r) be the first derivative of 8/15*r**3 + 0*r**2 - 230 + 0*r + 3/10*r**4 - 2/25*r**5. Factor u(d).
-2*d**2*(d - 4)*(d + 1)/5
Suppose 0 = -103*g - 91 + 400. Let j(s) be the second derivative of -1/18*s**4 + 0 - 20*s + 4/3*s**g - 12*s**2. Let j(r) = 0. What is r?
6
Let l(a) be the third derivative of a**6/360 + 101*a**5/180 + 299*a**4/9 - 1352*a**3/3 - 1782*a**2. Factor l(q).
(q - 3)*(q + 52)**2/3
Suppose 194*u**3 + 392871 - 63*u**4 - 33*u**4 + 88*u - 392887 - 188*u**2 + 18*u**5 = 0. What is u?
2/3, 1, 2
Let j = -16 - 122. Let p be 172/21 + 184/j. Let -3/7*i**3 - 27/7*i**2 - 72/7*i - p = 0. Calculate i.
-4, -1
Let q be 2/29 - (54/(-58) + (-1021 - -1022)). Find i, given that -1/5*i**2 - 3*i**4 - 27/5*i**3 + 9/5*i + q + 2/5*i**5 = 0.
-1, 0, 1/2, 9
Let i(m) be the third derivative of -1/300*m**6 + 0 + 29/60*m**4 - 3*m + 0*m**3 - 14/75*m**5 - 7*m**2. Let i(w) = 0. Calculate w.
-29, 0, 1
Let p be 2 - (-5 + 2 + 5). Suppose p = c - 0*c + h - 4, 4 = c + 4*h. Factor 23*r**4 + 0*r**3 - 21*r**c + r**3 - 3*r**3 - 4*r**2.
2*r**2*(r - 2)*(r + 1)
Factor 3/2*u**4 + 903/2*u**3 - 456 - 2727/2*u**2 + 2733/2*u.
3*(u - 1)**3*(u + 304)/2
Let b = -472/141 - -566/141. Let v = 4/3 + 0. Factor v*x + 0 - b*x**2.
-2*x*(x - 2)/3
Let h(t) = t**4 + t**3 - 4*t**2 - 5*t - 1. Let n(r) = r + 1. Let u(f) = -4*h(f) - 4*n(f). Factor u(q).
-4*q*(q - 2)*(q + 1)*(q + 2)
Let j(r) = -34*r**3 + 2*r**2 - 2*r - 2. Let f be j(-1). Let a = f + -24. Determine y so that -46*y**3 + y**4 + a*y**2 + 2 + 54*y**3 - y**4 + 2*y**4 + 8*y = 0.
-1
Let z(p) be the first derivative of p**6/180 - p**5/20 - 2*p**3/3 + 6*p + 25. Let r(a) be the third derivative of z(a). Factor r(d).
2*d*(d - 3)
Let c(j) = 9*j - 312. Let r be c(34). Let s be (6/r + -1)*8/(-11). Find v such that -8/11 - 2/11*v**5 - 2/11*v**2 + 10/11*v**4 + s*v - 14/11*v**3 = 0.
-1, 1, 2
Let l(n) = n**2 - n + 2. Suppose 0 = -14*u + 42*u - 616. Let s(o) = -2*o**3 - 35*o**2 + 65*o - 50. Let p(g) = u*l(g) + 2*s(g). Factor p(a).
-4*(a - 1)**2*(a + 14)
Let w(g) = -g**2 - 148*g - 766. Let s(l) = -l**2 - 73*l - 382. Let x(o) = -5*s(o) + 2*w(o). Find j, given that x(j) = 0.
-14, -9
Let d(j) = 88*j**3 - 4*j + 4. Let x be d(1). Let v = -256/3 + x. Find f, given that 1/3*f**3 + v*f + 4/3 + 5/3*f**2 = 0.
-2, -1
Solve -13*g**4 - 256 - 11867*g**5 - 11875*g**5 - 16*g**3 + 188*g**2 + 23741*g**5 - 64*g = 0 for g.
-8, -1, 2
Let x(s) = 8*s**3 - 1136*s**2 + 157928*s - 24. Let d(p) = -p**3 + 2*p**2 - p + 4. Let b(m) = -6*d(m) - x(m). Factor b(u).
-2*u*(u - 281)**2
Let g(i) = 5*i**2 - 398*i - 499. Let u(s) = -45*s**2 + 3580*s + 4465. Let v(l) = 35*g(l) + 4*u(l). Let v(q) = 0. Calculate q.
-1, 79
Suppose -118*k = -111*k + 49. Let p be k/(-40) + (-3)/90*-6. Factor -p*g**2 - 147/8 + 21/4*g.
-3*(g - 7)**2/8
Suppose 5*a + 62 - 80 = -t, 0 = -3*a + 3*t + 36. What is d in 0 - 16/7*d**4 - 11/7*d**3 - d**a - 2/7*d**2 + 0*d = 0?
-1, -2/7, 0
Let q(f) = -19*f**2 - 324*f - 203. Let m(i) = 3*i + 50. Let o be m(-18). Let c(w) = -8*w**2 - 163*w - 101. Let t(h) = o*q(h) + 7*c(h). Factor t(d).
5*(d + 7)*(4*d + 3)
Let s(o) be the first derivative of -3*o**4/4 - o**3 + 18*o**2 - 2681. Factor s(z).
-3*z*(z - 3)*(z + 4)
Let v(q) = -6*q**2 + 12*q. Let i be v(2). Let s(f) = -2*f**3 - 6*f**2 + 3*f + 3. Let y be s(i). Factor 2*w**2 + 1 - 1/2*w**y - 5/2*w.
-(w - 2)*(w - 1)**2/2
Let n be (1893 + -1899)/((-5)/((-10)/(-4))). Let 7/9*j**2 - 16/9 + 8/9*j + 1/9*j**n = 0. What is j?
-4, 1
Let h(b) be the first derivative of 0*b**3 + 1/60*b**4 - 7*b - 11 - 1/10*b**2. Let n(l) be the first derivative of h(l). Determine g so that n(g) = 0.
-1, 1
Let b be (-80)/(-48)*((-5222)/770 + 7). Suppose -5*y = -3*y. Factor y*k + b*k**2 + 0 - 2/11*k**3.
-2*k**2*(k - 2)/11
Let q(v) be the second derivative of v**9/3780 + v**8/840 - v**7/210 + 85*v**4/3 + 4*v + 7. Let o(h) be the third derivative of q(h). Factor o(w).
4*w**2*(w - 1)*(w + 3)
Let s = 757446 + -3785709/5. Suppose -s - 1443/5*n - 1/5*n**3 + 77/5*n**2 = 0. What is n?
-1, 39
Factor -653*z**2 + 535*z**3 + 322752 - 48364*z - 57252*z - 536*z**3.
-(z - 3)*(z + 328)**2
Let l(g) be the third derivative of -g**8/24 + 18*g**7/35 - 47*g**6/60 - 24*g**5/5 - 3*g**4 + 2499*g**2. Let l(s) = 0. Calculate s.
-1, -2/7, 0, 3, 6
Let r(n) be the first derivative of 423*n**5 - 1794*n**4 + 2239*n**3 - 822*n**2 - 12*n - 1629. Determine s, given that r(s) = 0.
-1/141, 2/5, 1, 2
Suppose -1339*w + 990266*w**2 - 990271*w**2 - 332820 - 1241*w = 0. Calculate w.
-258
Let i(h) be the third derivative of 0 + 20/3*h**3 - 1/12*h**5 - 5/12*h**4 - 106*h**2 + 0*h. Factor i(l).
-5*(l - 2)*(l + 4)
Determine c, given that 891/7*c**2 - 3576/7*c + 3/7*c**4 - 90/7*c**3 + 720 = 0.
4, 7, 15
Let a(j) be the first derivative of -1/5*j**4 - 24/5*j**3 - 128*j - 192/5*j**2 - 203. Factor a(k).
-4*(k + 4)**2*(k + 10)/5
Let v be ((-3)/(-6))/((-7)/(-322)). Suppose -k - v + 27 = 0. Determine p so that 5*p**4 + 0*p + 8*p - 2*p**3 + 16 - 3*p**k - 12*p**2 + 0*p = 0.
-2, -1, 2
Let l(z) = -z**2 - 10*z - 2. Let u(x) = 3*x**3 + 461*x**2 + 6017*x + 20578. Let c(n) = l(n) - u(n). Factor c(f).
-3*(f + 7)**2*(f + 140)
Let g(t) be the first derivative of 55 + 0*t - 8*t**2 - 24*t**3 + t**4 + 18/5*t**5. Suppose g(l) = 0. What is l?
-2, -2/9, 0, 2
Suppose 10816 = -43*d + 17*d. Let z = d + 418. Determine v, given that -6/5*v + 0 + 3/5*v**z = 0.
0, 2
Let y = 884794/3 - 294917. Factor 1/3*b**2 - y*b + 14.
(b - 42)*(b - 1)/3
Let 331*o + 295*o + 90*o**2 - 251*o**3 - 245*o**3 - 181*o + 360 + 501*o**3 = 0. What is o?
-9, -8, -1
Let v(o) be the second derivative of -24 + 1/4*o**4 - 4*o**2 + 1/5*o**5 - 1/30*o**6 + 4*o - 5/3*o**3. Factor v(p).
-(p - 4)*(p - 2)*(p + 1)**2
Let j(d) = -715*d - 42900. Let l be j(-60). Let 0*x + 1/10*x**5 + 9/5*x**2 - 11/10*x**3 + l - 4/5*x**4 = 0. What is x?
-2, 0, 1, 9
Let r(a) = 4*a - 4. Let f be r(2). Factor -3*i + 8*i**f + i**5 + 2851*i**2 - 2891*i**2 + 6*i**3 + 28*i.
i*(i - 1)**2*(i + 5)**2
Let z = 983 - 980. Let -6*t**z + 24*t**5 + 19*t**5 + 112*t**2 - 30*t - 6*t - 33*t**3 - 38*t**5 - 42*t**4 = 0. Calculate t.
-2, 0, 2/5, 1, 9
Let b(z) be the first derivative of 7/3*z**3 + 195/8*z**2 + 1/5*z**5 - 25/2*z - 48 - 33/16*z**4. Factor b(h).
(h - 5)**2*(h + 2)*(4*h - 1)/4
Let z = -33057 - -33059. Factor 0 - 1/8*s**4 - 1/4*s**3 + 3/8*s**z + 0*s.
-s**2*(s - 1)*(s + 3)/8
Let s(i) = i**2 + 4*i - 9. Let a be s(-6). Factor 2*y**2 - 13*y**3 + 29*y**a - 10*y**3 - 12*y**3.
-2*y**2*(3*y - 1)
Let x be 1/4*274 - (-1)/2. Factor 845 + 508*n**2 + 470*n**3 + 130*n - 46*n**4 + 2275*n + 1642*n**2 - x*n**4 + 5*n**5.
5*(n - 13)**2*(n + 1)**3
Suppose 2*a - 355 = 11. Let y = -71 + a. Solve -2*t**3 - 3*t**3 + 3*t + 2*t**3 + 113*t**4 - y*t**4 + t**2 - 2 = 0 for t.
-1, 1, 2
Let a(s) = -s**4 - 3*s**3. Let o(q) = 2*q**4 - 15*q**3 - 66*q**2 - 64*q - 21. Let m(b) = -3*a(b) - o(b). Factor m(w).
(w + 1)**3*(w + 21)
Let f = 2229 + -178317/80. Let n(z) be the second derivative of 1/112*z**7 + 0 - f*z**5 + 3/16*z**2 - 1/16*z**4 + 9*z + 1/16*z**3 + 1/80*z**6. Factor n(r).
3*(r - 1)**2*(r + 1)**3/8
Let n be 26/299 - (-9215)/92. Let u = 2839/28 - n. Factor -6/7 + u*d - 2/7*d**2.
-2*(d - 3)*(d - 1)/7
Let w(d) be the second derivative of -20 + 2*d + 1/30*d**6 - 15/2*d**2 - 3/2*d**4 + 0*d**5 + 16/3*d**3. Factor w(s).
(s - 3)*(s - 1)**2*(s + 5)
Suppose 4*v = -4*v + 3*v. Let g(o) be the second derivative of -3/2*o**3 + 3/20*o**5 + 3*o**2 + v + 10*o + 0*o**4. Factor g(x).
3*(x - 1)**2*(x + 2)
Suppose -5*o + 8*o = 4*c + 166, 2*c - 160 = -3*o. Suppose o = 9*z + 9*z. Factor 2 - 5/2*d**2 - 3/2*d**z + 2*d.
-(d - 1)*(d + 2)*(3*d + 2)/2
Let m(i) = -15*i**4 + 20*i**3 - 69*i**