 Factor u(y).
-4*y**2*(y - 1)*(13*y - 2)
Let j = -2195854/23 - -95472. Find s, given that 0*s**2 + j*s**4 + 0*s - 2/23*s**3 + 0 = 0.
0, 1
Let h(t) be the first derivative of -1/21*t**3 + 134 + 6/7*t**2 + 13/7*t. Find c, given that h(c) = 0.
-1, 13
Let c(l) = 11*l**2 - 379*l + 247. Let a(m) = 9*m**2 - 379*m + 248. Let t(p) = -7*a(p) + 6*c(p). Solve t(k) = 0 for k.
-127, 2/3
Let x(a) = -17*a**2 - 16366*a - 6707393. Let v(p) = -8*p**2 - 8184*p - 3353712. Let b(d) = -7*v(d) + 3*x(d). Factor b(w).
5*(w + 819)**2
Let k be -1*(5 + 536/(-72) - (-36)/81). Factor -90/7*l + 675/7 + 3/7*l**k.
3*(l - 15)**2/7
Let f be (2332/(-368))/(-11) + (-316)/(-1817). Find b such that 9*b + 27 + f*b**2 = 0.
-6
Factor 4085667/7 - 7002/7*y + 3/7*y**2.
3*(y - 1167)**2/7
Factor -1481*p**2 + 2*p**3 - 10 - 66*p - 80 + 2989*p**2 - 1482*p**2.
2*(p - 3)*(p + 1)*(p + 15)
Let n(m) be the first derivative of -5*m**3/3 + 240*m**2 - 11520*m + 259. Factor n(a).
-5*(a - 48)**2
Let g(w) = w**2 + 6*w + 24. Let p be g(-9). Let r be 8/3*p/68. Factor b**2 + 2*b + b**4 - 5*b**3 + r*b + 5*b**2 - 86 + 78.
(b - 2)**3*(b + 1)
Let c be (-12)/(-22) - (83 + 1285045/(-15543)). Let 14/9*z**2 + 4*z + 0 + c*z**4 - 20/9*z**3 = 0. What is z?
-1, 0, 2, 9
Find u such that u**4 + 49933 - 50062 + 131*u - 48*u**2 + 87*u - 42*u**3 = 0.
-3, 1, 43
Let t be (-12)/(-15)*(-3705)/(-3952). Factor 33/4*z**2 - t*z**3 + 21 - 24*z.
-3*(z - 7)*(z - 2)**2/4
Let b(u) be the first derivative of -5/19*u**4 - 2/95*u**5 - 74/57*u**3 + 23 - 72/19*u - 60/19*u**2. Let b(g) = 0. Calculate g.
-3, -2
Let m(l) = l**2 + 3*l + 16. Let u(n) = n**3 + 6*n**2 - n - 16. Let c be u(-6). Let k be m(c). Factor -59*g**3 - 16*g**3 + k*g - 107*g - 285*g**2 - 171*g - 36.
-3*(g + 3)*(5*g + 2)**2
Suppose -l - 3 = 4, 108*u - 41 = 105*u + 5*l. Factor -7/2*z + 1/2*z**3 - z**2 - u.
(z - 4)*(z + 1)**2/2
Let w(h) be the third derivative of h**6/200 - 7*h**5/10 + 17*h**4/5 - 2*h**2 - 740*h - 1. Suppose w(q) = 0. What is q?
0, 2, 68
Let s(z) be the first derivative of 20*z**5/3 - 80*z**4/3 + 32*z**3/9 + 256*z**2/3 - 64*z - 351. What is v in s(v) = 0?
-6/5, 2/5, 2
Let o(t) be the third derivative of -t**8/84 + 32*t**7/35 - 733*t**6/30 + 1242*t**5/5 - 2720*t**4/3 + 1600*t**3 + 10615*t**2. Determine f, given that o(f) = 0.
1, 6, 20
Let r(d) = -7*d**2 - 12*d. Let q(f) be the third derivative of -f**5/20 - f**4/4 - 2*f**2 + 25*f. Let o(h) = -5*q(h) + 2*r(h). Determine a, given that o(a) = 0.
-6, 0
Let i(z) = -z**2 + 9*z - 11. Let n be i(2). Factor -8046*m**2 + 5*m**n + 5*m**4 - 1 + 8043*m**2 - m**4 - 5*m.
(m - 1)*(m + 1)**2*(4*m + 1)
Let v(b) be the first derivative of 2*b**4/9 + 26*b**3/9 - 12*b**2 - 471. Factor v(n).
2*n*(n + 12)*(4*n - 9)/9
Let p be 1/((5/(-20))/(3/6)). Let m be (-160)/(-525) + p/(-21). Factor m*o**2 + 0 - 6/5*o.
2*o*(o - 3)/5
Let -1683 + 139 + 4*a**2 - 60*a - 417 - 4375 = 0. What is a?
-33, 48
Let d(j) be the third derivative of -j**2 + j**3 - 19/36*j**4 + 0 + 1/45*j**5 - 20*j. Factor d(r).
2*(r - 9)*(2*r - 1)/3
Let p be 4/10*(32 + 11 + 2). Suppose -p + 6 = 4*l, l - 1 = -2*y. Factor -2/15*b**y + 0 + 2/15*b.
-2*b*(b - 1)/15
Factor 132*a**2 - 3168*a + 2509056 + 148*a**2 - 279*a**2.
(a - 1584)**2
Let o = -162 + 462. Let n = o - 300. Suppose 0 + n*c - 4/3*c**2 + 4/3*c**3 - 1/3*c**4 = 0. Calculate c.
0, 2
Let i be 3*((-252)/27)/(-7). Let l(v) be the second derivative of 1/30*v**i + 0 + 2/15*v**3 + 0*v**2 - 1/25*v**5 - 1/75*v**6 - v. Solve l(q) = 0 for q.
-2, -1, 0, 1
Find w such that 85*w**2 - 165*w**2 - 35*w**3 + 74*w**2 + 19*w**4 = 0.
-3/19, 0, 2
Let a(s) be the first derivative of s**5/15 + 15*s**4/4 + 164*s**3/9 - 2547. What is v in a(v) = 0?
-41, -4, 0
Solve -88/3*m + 4/3*m**3 - 20 + 1/3*m**4 - 25/3*m**2 = 0 for m.
-6, -2, -1, 5
Suppose -4*v = 17*d - 16*d - 12, 2*v = -d + 8. Let q(g) be the third derivative of 0 - 1/4*g**d + 1/15*g**5 - 8*g**2 + 0*g + 1/3*g**3. Factor q(u).
2*(u - 1)*(2*u - 1)
Let c(q) be the third derivative of -4 - 1/300*q**6 - 3*q**2 - 4/75*q**5 - 7/60*q**4 + 0*q**3 + 0*q. Find m such that c(m) = 0.
-7, -1, 0
Suppose -2*l - s + 44 - 31 = 0, -5*l + 78 = -4*s. Let o(f) be the first derivative of 2/3*f**3 + 50*f - l*f**2 + 35. What is y in o(y) = 0?
5
Let t(r) be the first derivative of -2*r**5/5 + 5*r**4 - 16*r**3 + 22*r**2 - 14*r + 2856. Let t(i) = 0. What is i?
1, 7
Let l(s) be the third derivative of -1/160*s**5 - 67*s**2 + 0*s - 1/32*s**4 + 0 - 1/16*s**3. Solve l(o) = 0.
-1
Let x(b) be the second derivative of -b**7/70 + 9*b**6/50 - 24*b**5/25 + 14*b**4/5 - 24*b**3/5 + 24*b**2/5 - 246*b + 1. Factor x(t).
-3*(t - 2)**4*(t - 1)/5
Let w(q) = -12*q**2 - 71*q - 727. Let u(i) = -4*i + 9*i + 30*i + 266 + 7*i**2 + 98. Let o(f) = -5*u(f) - 3*w(f). Factor o(b).
(b + 19)**2
Let a = -3612 + 2128. Let x be (a/175 + 8)/(4/(-20)). Factor 2/5*p**2 + 2*p - x.
2*(p - 1)*(p + 6)/5
Let l(t) = 82*t**2 + 854*t + 2316. Let y(x) = -x**3 + 249*x**2 + 2564*x + 6950. Let g(z) = 14*l(z) - 4*y(z). Suppose g(f) = 0. Calculate f.
-17, -4
Let p = -5828/7553 - -1295/1079. Factor 2/7*o - p*o**2 + 0 + 1/7*o**3.
o*(o - 2)*(o - 1)/7
Let m(d) be the second derivative of -22*d + 1/51*d**3 + 0 - 6/17*d**2 + 1/102*d**4. Find k, given that m(k) = 0.
-3, 2
Let v(f) be the third derivative of -f**7/1470 + 11*f**6/280 - 17*f**5/20 + 1339*f**4/168 - 169*f**3/7 - 32*f**2 - 2*f - 13. Factor v(d).
-(d - 13)**2*(d - 6)*(d - 1)/7
Let s(j) = 23*j**2 + 3*j - 1. Let g be s(2). Let f = g + -79. Solve v + 3*v - 15*v**2 + 2*v + f*v**2 = 0 for v.
-2, 0
Let o be 24/56*21 - 324. Let r = -2173/7 - o. Factor 80/7*k + r + 2/7*k**4 + 66/7*k**2 + 20/7*k**3.
2*(k + 1)**2*(k + 4)**2/7
Factor 3/5*m**2 - 189/5*m + 366/5.
3*(m - 61)*(m - 2)/5
Let y = 248 + -230. Factor 6*a**5 + 39*a**3 + 7*a - 36*a**2 + a - 3*a**5 - y*a**4 + 4*a.
3*a*(a - 2)**2*(a - 1)**2
Let g(s) = 4*s**5 + 518*s**4 - 34848*s**3 + 68120*s**2 - 33800*s - 6. Let t(v) = -v**5 + v**4 + v**3 + 1. Let c(x) = -g(x) - 6*t(x). Let c(r) = 0. What is r?
0, 1, 130
Let -11/6*a**4 + 9/2*a**2 - 4/3*a + 1/6*a**3 - 10/3 + 1/2*a**5 = 0. Calculate a.
-1, 5/3, 2
Solve -1/5*l**2 + 27/5*l + 58/5 = 0.
-2, 29
Suppose -310 = -4*q - 2*x, -2*q + x + 154 = 3*x. Suppose 0 = 36*g - q*g + 84. Factor 4/9*z**4 + 0*z + 0 - 2/9*z**3 + 0*z**g - 2/9*z**5.
-2*z**3*(z - 1)**2/9
Let h(j) be the second derivative of -j**5/120 - j**4/18 + 67*j**3/36 + 35*j**2/6 - 4861*j. Factor h(t).
-(t - 7)*(t + 1)*(t + 10)/6
Let j(v) be the third derivative of -v**5/240 + 29*v**4/48 + 59*v**3/24 + 819*v**2. Let j(m) = 0. What is m?
-1, 59
Let r be (141/2*-1)/((-23220)/6192). What is y in 8192/5 - 288*y**2 + 6656/5*y - 2/5*y**4 + r*y**3 = 0?
-1, 16
Let p = -57 + 61. Let o be 286/2 - (p + -2). What is v in 4*v + 17*v**2 + 56*v + o*v**2 + 21*v**5 + 104*v**4 + 189*v**3 + 8 = 0?
-2, -1, -2/3, -2/7
Let z(f) = -3*f**3 - 45*f**2 - 273*f - 441. Let j(u) = 30*u - 153. Let y be j(5). Let v(p) = 2*p**2. Let g(x) = y*v(x) + z(x). Find a, given that g(a) = 0.
-7, -3
Let r(k) be the third derivative of -5*k**8/336 - 19*k**7/42 + 23*k**6/4 - 73*k**5/3 + 125*k**4/3 - 4*k**2 - 330*k - 2. Factor r(p).
-5*p*(p - 2)**3*(p + 25)
Let h(u) = 2*u**2 - u + 1. Let a(g) = 428*g - 79 - 8*g**2 - 1 - 44 + 2*g**2 - 16*g**2. Let t(z) = a(z) + 4*h(z). Factor t(s).
-2*(s - 30)*(7*s - 2)
Let d be (2 - 1)*-12*1/(-3). Suppose -4*z + 56 = d*u, z - 5*z - 7 = -3*u. Determine b, given that 4 - 2*b**2 + 4*b + u*b - 6*b**3 - 7*b - 2*b**4 = 0.
-2, -1, 1
Let j be (2/3*-3)/(24/(-372)). Let k(u) be the first derivative of -9 + j*u**3 - 215*u**3 - 45*u**4 + 22 - 128*u - 256*u**2 + 6. Factor k(c).
-4*(3*c + 4)**2*(5*c + 2)
Let t(o) be the first derivative of 2*o**3/3 - 5633*o**2/7 - 460*o + 296. Factor t(g).
2*(g - 805)*(7*g + 2)/7
Let k(n) be the first derivative of 8*n**3 + 5097*n**2/2 + 1908*n + 3968. Factor k(a).
3*(a + 212)*(8*a + 3)
Factor 20/3*r**2 + 250/9*r + 2/9*r**3 + 0.
2*r*(r + 5)*(r + 25)/9
Let a = -191249 + 4781227/25. Suppose -5*t = 2*g + 5, 4*g - 4*t - 2 = -2*t. Suppose 0 + g*v + a*v**3 - 2/25*v**2 = 0. Calculate v.
0, 1
Suppose 4*z + o = 17, 4 = z + 2*z - o. Find f such that 1009*f**z - 4621*f**2 + 0*f**4 - 4*f**4 - 4830*f - 733*f**3 - 1225 = 0.
-1/2, 35
Suppose f - 1 = 0, 0 = -3*n + 3*f + 3. Factor 5*g**n + 15 + 10*g**3 - 10*g - 22*g**2 + 2*g**2.
5*(g - 1)*(g + 1)*(2*g - 3)
Let z(s) = -s**3 - 3*s**2 + 