 = w*q(g) + 2*t(g). Factor d(p).
4*p*(p - 1)**2*(p + 1)*(p + 4)
Let x = 47 - 41. Suppose -y = x*y - 35. Factor 0*f + 1/5*f**3 + 0*f**2 + 0 + 0*f**4 - 1/5*f**y.
-f**3*(f - 1)*(f + 1)/5
Let t(a) = -3*a**3 - 38*a**2 + 60*a + 8. Let u(w) = 4*w**3 + 40*w**2 - 61*w - 10. Let i(s) = -5*t(s) - 4*u(s). Factor i(l).
-l*(l - 28)*(l - 2)
Let u(z) be the second derivative of 3/5*z**6 + 6 - 11*z + 0*z**2 + 3/4*z**5 - 13/4*z**4 + z**3. Solve u(h) = 0 for h.
-2, 0, 1/6, 1
Suppose 602*z - 3024 = -427*z + 298*z - 277*z. Factor -15 - 48*v**2 - 7/2*v**z + 133/2*v.
-(v - 1)*(v + 15)*(7*v - 2)/2
Let g = -727 + 729. Let w(h) = -23*h + 115. Let i be w(5). Factor -4/5*p**3 + i + 8/5*p - 4/5*p**g.
-4*p*(p - 1)*(p + 2)/5
Suppose 2*o = 48 + 130. Suppose -2*b = -c - 515, -b + o + 191 = -5*c. Factor 16 - 3*p**2 + 225*p - b*p - p**2.
-2*(p + 8)*(2*p - 1)
Let l be (-1 - -2) + 66898/10790. Suppose l*i**3 + 544/5*i + 276/5*i**2 + 64 = 0. Calculate i.
-5, -4/3
Let h(j) be the first derivative of -82 + 4/5*j**4 + 48/5*j - 8*j**2 + 1/30*j**6 - 9/25*j**5 + 8/5*j**3. Find u, given that h(u) = 0.
-2, 1, 2, 6
Factor 416*f - 144324 + 4*f**2 + 1476*f + 144324.
4*f*(f + 473)
Let p(h) be the second derivative of 1/25*h**6 - 28 + 11/100*h**5 + 1/210*h**7 + 1/10*h**4 + 0*h**2 + 0*h**3 - 2*h. Find x, given that p(x) = 0.
-3, -2, -1, 0
Let k(s) be the first derivative of s**3/3 - 6*s**2 + 24*s - 4. Let b be k(10). Let -7*q**2 - 15*q - 9*q**2 + 30*q - b*q**2 + 5*q**3 = 0. Calculate q.
0, 1, 3
Suppose 3*w + 501 = -2*a, -2*w = -3*a - w - 724. Let q = -60 - a. Solve -6*y**4 - 4*y**5 - 167*y + 22*y**4 - 16*y**2 - 12*y**3 + q*y = 0 for y.
-1, 0, 1, 2
Let n(a) be the third derivative of 6*a**3 - 23/16*a**4 - 1/40*a**5 + 0 + 0*a - 63*a**2. Factor n(r).
-3*(r - 1)*(r + 24)/2
Let b(u) be the first derivative of 4/45*u**5 - 28/27*u**3 + 40/9*u**2 - 2/9*u**4 - 16/3*u + 59. Let b(n) = 0. Calculate n.
-3, 1, 2
Let g(p) be the second derivative of -1/180*p**5 + p - 1/36*p**4 + 1/6*p**2 - 1 + 1/54*p**3. What is r in g(r) = 0?
-3, -1, 1
Let r = 614014/3 + -204671. Factor -16 - 26/3*d - r*d**2.
-(d + 2)*(d + 24)/3
Factor 1/5*g**4 + 28/5*g**2 - 29/5 + 6*g**3 - 6*g.
(g - 1)*(g + 1)**2*(g + 29)/5
Let o(g) be the second derivative of 131/2*g**3 - 99*g**2 - 31*g - 16*g**4 + 0 - 3/20*g**5. Factor o(q).
-3*(q - 1)**2*(q + 66)
Find d such that -92/15 + 2/5*d**2 + 274/15*d = 0.
-46, 1/3
Let a(c) be the third derivative of -c**5/48 - 3205*c**4/16 - 6163215*c**3/8 + 15*c**2 - 3. Factor a(s).
-5*(s + 1923)**2/4
Factor -3/2*p**2 - p + 0 - 1/2*p**3.
-p*(p + 1)*(p + 2)/2
Suppose -5*y = -2*l - 28, 298*l - 24 = -2*y + 302*l. Let k(n) be the first derivative of -3/5*n**5 + 27*n - 4 - 9*n**2 - 8*n**3 + 9/2*n**y. Factor k(f).
-3*(f - 3)**2*(f - 1)*(f + 1)
Let t(o) be the first derivative of -o**5/5 - o**4 + 37*o**3/3 + 62*o**2 + 84*o - 257. Solve t(w) = 0 for w.
-7, -2, -1, 6
Let -152*t + 44*t**2 - 1768*t - 46*t**2 = 0. What is t?
-960, 0
Let r = -8702 + 174043/20. Let l(m) be the second derivative of r*m**5 + 0 + 0*m**6 + 1/4*m**3 - 1/84*m**7 - m + 0*m**2 + 1/3*m**4. Solve l(y) = 0.
-1, 0, 3
Let k = 49 + -46. What is v in 47*v**3 - 28*v**2 + 5*v**k - 22*v**3 - 9*v**4 + 8*v = 0?
0, 2/3, 2
Let k(c) be the first derivative of 2*c**5/25 - 3*c**4/5 + 8*c**3/5 - 2*c**2 + 6*c/5 - 432. Factor k(d).
2*(d - 3)*(d - 1)**3/5
Factor -5*c**2 - 1549*c - 27354605 + 7074*c + 17865*c.
-5*(c - 2339)**2
Let k = 190 + -187. Factor -108 + 20*y - k*y**2 + 17*y - y.
-3*(y - 6)**2
Find k such that -4/3 - 5/3*k**3 + k**2 + 8/3*k - 2/3*k**4 = 0.
-2, 1/2, 1
Let f be (614 + -605)*(-1)/(-3). Factor -11/6*p**2 - 1/6 - 5/6*p**f - 7/6*p.
-(p + 1)**2*(5*p + 1)/6
Let d(s) be the second derivative of -27*s**5/20 + 40*s**4 - 693*s**3/2 - 243*s**2 - 20*s - 20. Solve d(g) = 0.
-2/9, 9
Let h(l) be the third derivative of -l**5/360 - 25*l**4/36 - 625*l**3/9 + 2*l**2 - 211. Suppose h(o) = 0. Calculate o.
-50
Let t(a) be the third derivative of 10/3*a**3 - 1/3*a**4 + 4*a**2 + 0*a - 1/60*a**5 - 55. Solve t(h) = 0 for h.
-10, 2
Let u = 8314 - 16627/2. Let i(g) be the first derivative of 3/5*g**5 + 0*g - 4/3*g**2 - 20/9*g**3 - 20 - u*g**4. Determine s so that i(s) = 0.
-2/3, 0, 2
Factor -746/9*a - 2/9*a**2 - 1484/9.
-2*(a + 2)*(a + 371)/9
Let t(h) = -2*h**4 - 2*h**2 - 3. Let p(y) = -24*y**4 - 279*y**3 - 6575*y**2 - 53429*y - 36531. Let u(n) = -3*p(n) + 30*t(n). Factor u(f).
3*(f + 23)**3*(4*f + 3)
Let f(p) = -46*p**3 + 2*p**2 + p - 7. Let z be f(-2). Suppose 14*t**2 + 415 - z + 72*t + 13*t**2 = 0. What is t?
-4/3
Factor 7079*g**3 - 2169531*g**2 - 5*g**4 - 5070584*g**2 + 4441*g**3 + 0*g**4 + 604595*g**2.
-5*g**2*(g - 1152)**2
Let y = -86523/14 - -6189. Let a = -51/7 + y. Factor -a*i + 1/8 + 9/2*i**2.
(6*i - 1)**2/8
Let n be ((-1)/3)/((-1)/9). Let r(y) = 207*y**2 - 1005*y - 140. Let b be r(5). Factor 6 + 2/3*a**n + 14/3*a**2 + b*a.
2*(a + 1)*(a + 3)**2/3
Let c(u) be the first derivative of -15625*u**3/6 - 125*u**2 - 2*u + 1584. Determine g so that c(g) = 0.
-2/125
Solve 46/5*l + 2/5*l**3 - 4 + 2/5*l**4 - 6*l**2 = 0 for l.
-5, 1, 2
Let w(l) be the second derivative of l**6/480 + 3*l**5/160 + 56*l**3/3 + 29*l. Let i(a) be the second derivative of w(a). Determine o so that i(o) = 0.
-3, 0
Let w(z) be the second derivative of z**5/40 + 11*z**4/24 + 5*z**3/4 - 27*z**2/4 - 97*z + 5. Factor w(p).
(p - 1)*(p + 3)*(p + 9)/2
Let c(l) be the first derivative of 2*l**3/27 - 407*l**2/9 + 1873. Solve c(a) = 0.
0, 407
Suppose -i = 5*a + 13, -a = 5*i + 4*a + 5. Let 16*r**3 + 60*r**i - 24*r**3 + 40*r**3 + 4*r**4 = 0. What is r?
-5, -3, 0
Let s be (4/(-4))/((-34)/68). Let t(o) be the second derivative of -3*o + 1/3*o**3 - 1/10*o**5 - 2*o**s + 0 + 1/3*o**4. Factor t(y).
-2*(y - 2)*(y - 1)*(y + 1)
Factor -22/5*q**2 + 6/5 + 2/5*q + 14/5*q**3.
2*(q - 1)**2*(7*q + 3)/5
Suppose 2368*o**2 - 2*o**4 - 750*o**3 + 24513869*o - 24516143*o + 658*o**2 = 0. Calculate o.
-379, 0, 1, 3
Let p = 613283019/434 - 1413093. Let t = p - 3/217. Factor 3*i**2 + t*i**3 + 0*i + 0.
3*i**2*(i + 2)/2
Let d(v) be the second derivative of v**4/24 - 11*v**3/12 - 15*v**2 + 3780*v. What is i in d(i) = 0?
-4, 15
Suppose -1/6*l + 1/6*l**3 + 113/3 - 113/3*l**2 = 0. What is l?
-1, 1, 226
Suppose 5*s = 4*l + 35, -2*s + 129*l = 128*l - 11. Let p be (((-12)/(-16))/(1/12))/5. Factor -3/5*o**s - 6/5*o + 0 - p*o**2.
-3*o*(o + 1)*(o + 2)/5
Factor 105*g - 212 - 3*g**2 + 8 + 102*g.
-3*(g - 68)*(g - 1)
Factor 124*u**2 + 116*u**2 + 124*u**2 - 360*u**2 + 3*u + 9*u - 1672.
4*(u - 19)*(u + 22)
Let w(k) be the second derivative of 8*k**6/45 - 19*k**5/5 - 110*k**4/9 - 22*k**3/3 + 32*k**2/3 + 1441*k. Let w(i) = 0. Calculate i.
-1, 1/4, 16
Let o = -467 + 489. Let 20*g**2 - 2*g**3 - 62*g + 16 + 46*g - 6*g**3 + o*g + 38*g = 0. Calculate g.
-1, -1/2, 4
Factor 837/5*b - 972 - 3/5*b**3 - 6/5*b**2.
-3*(b - 9)**2*(b + 20)/5
What is m in 10/9*m**4 + 1152 + 2/9*m**5 + 320*m - 200/3*m**2 - 160/9*m**3 = 0?
-9, -4, 6
Let b(k) be the first derivative of k**5/20 + 5*k**4/6 + 16*k**3/3 + 16*k**2 - 104*k + 60. Let c(y) be the first derivative of b(y). Find f such that c(f) = 0.
-4, -2
Let s(d) be the first derivative of -d**5/10 - 9*d**4/2 - 33*d**3/2 - 668. Find u such that s(u) = 0.
-33, -3, 0
Suppose 7*h = 10*h + 18. Let s be (-17)/h*-3 + 9. Factor -t + 1/2*t**2 + s.
(t - 1)**2/2
Let q = 2097829/7 + -299683. Find a such that 0 + q*a + 14*a**5 + 876/7*a**3 + 78*a**4 + 376/7*a**2 = 0.
-3, -2, -2/7, 0
Let v(z) be the second derivative of -3/5*z**2 + 0 - 1/60*z**4 - 1/6*z**3 + 164*z. Factor v(q).
-(q + 2)*(q + 3)/5
Let l be (240/(-25))/((-1020)/425). Determine o, given that 2/7*o**5 - 4/7*o**l - 4/7 - 4/7*o**3 + 8/7*o**2 + 2/7*o = 0.
-1, 1, 2
Let q be (1 - 2/(-10))/((-92)/(25760/(-1512))). Factor -58/9*c + 56/9 + q*c**2.
2*(c - 28)*(c - 1)/9
Find k, given that -657/2*k - 1/2*k**3 + 1296 + 25*k**2 = 0.
9, 32
What is o in 592/3*o**3 + 0 + 0*o - 14/3*o**4 - 56*o**2 = 0?
0, 2/7, 42
Let f(d) be the second derivative of d**5/20 + 7*d**4/8 + 5*d**3 - 12*d**2 - 64*d. Let g(u) be the first derivative of f(u). Factor g(r).
3*(r + 2)*(r + 5)
Suppose 8/11*l**3 - 102/11*l**2 - 136/11 - 570/11*l = 0. What is l?
-4, -1/4, 17
Let v(j) be the third derivative of -1/30*j**5 + 0*j**3 - 82*j**2 + 5/12*j**4 + 0 + 0*j. Solve v(g) = 0.
0, 5
Let k(p) be the first derivative of -3/2*p*