*x + 5. Let b(n) = z*v(n) - 3*y(n). Factor b(t).
-2*(t - 1)*(t + 1)
Let m(l) = -85*l**2 - 294*l - 24. Let g = -212 + 199. Let y(n) = -42*n**2 - 147*n - 12. Let p(q) = g*y(q) + 6*m(q). Factor p(t).
3*(t + 4)*(12*t + 1)
Suppose -6831*k + 444 = -6609*k. Factor 3/5 - 1/5*v**k - 2/5*v.
-(v - 1)*(v + 3)/5
Let u(n) be the third derivative of -n**8/168 + n**7/105 + n**6/60 - n**5/30 + 5706*n**2. Find k such that u(k) = 0.
-1, 0, 1
Let v be (30/(-3220))/((-18)/656). Let x = v + -1/161. Determine h so that 0*h + x*h**3 + 4/3 - h**2 = 0.
-1, 2
Suppose -3*b + 5*t + 5 = 0, 4*b - 1 + 2 = -t. Let h be 7*15/700 + 56/224. Find d, given that h*d**2 - 6/5*d + b = 0.
0, 3
Let z(s) = -s**2 - 11*s + 34. Let p be z(-14). Let v be -2 - (-4 - 0) - p. Factor -337 - v*u**3 + 337 + 5*u**4.
5*u**3*(u - 2)
Let g(f) = 136*f + 546. Let h be g(-4). Let u(y) be the second derivative of 4*y - 3/10*y**3 + 0 + 0*y**h - 3/100*y**5 - 1/5*y**4. Factor u(n).
-3*n*(n + 1)*(n + 3)/5
Let u(a) be the third derivative of a**5/300 - 547*a**4/30 + 729*a**3/10 + 3860*a**2. Factor u(l).
(l - 2187)*(l - 1)/5
Factor 191/2*v + 1/2*v**2 + 732.
(v + 8)*(v + 183)/2
Let d(p) be the first derivative of -p**4/24 - 4*p**3/9 + 5*p**2/4 + 9*p - 1279. Factor d(v).
-(v - 3)*(v + 2)*(v + 9)/6
Let d(b) be the third derivative of -b**10/30240 + b**8/4032 - 109*b**5/60 - 108*b**2. Let s(j) be the third derivative of d(j). Solve s(y) = 0.
-1, 0, 1
Let i(l) = -l**5 - l**4 - l - 2. Let j(w) = 9*w**5 + 27*w**4 + 54*w**3 - 174*w**2 - 423*w - 201. Let p(c) = 12*i(c) + j(c). Let p(s) = 0. What is s?
-3, -1, 5
Let k(n) = 4*n**2 + n. Let v(j) = -j**3 + 379*j**2 - 43919*j + 1771561. Let d(s) = -4*k(s) + v(s). Factor d(b).
-(b - 121)**3
Let 2/15*u**3 + 16/3*u**2 + 76/15 + 154/15*u = 0. Calculate u.
-38, -1
Factor -1422*j**3 + 214*j - 2264*j - 91*j**4 + 3*j**5 - 785*j**2 - 2107*j**2 + 106*j - 134*j**4.
3*j*(j - 81)*(j + 2)**3
Let l(f) be the second derivative of -5/3*f**4 - 61 + 1/5*f**5 + 0*f**2 + 4*f**3 - 2*f. What is x in l(x) = 0?
0, 2, 3
Let z(n) be the first derivative of -n**9/3024 + n**8/280 - n**7/168 + 2*n**3/3 - n**2/2 + 136. Let c(x) be the third derivative of z(x). Factor c(f).
-f**3*(f - 5)*(f - 1)
Let w = 2082/11 - 43612/231. Let s(k) be the first derivative of -2/35*k**5 + 2/7*k**4 + 0*k + 31 - w*k**3 + 2/7*k**2. Factor s(q).
-2*q*(q - 2)*(q - 1)**2/7
Let l = 120033 + -480115/4. Factor -5/2*t**2 - 2 + 1/4*t**3 + l*t.
(t - 8)*(t - 1)**2/4
Let a(r) be the second derivative of r**5/20 + 2819*r**4/12 - 5641*r**3/6 + 2821*r**2/2 - 13526*r. Factor a(p).
(p - 1)**2*(p + 2821)
Let t(r) = 7*r**3 - 91*r**2 + 65*r + 231. Let y be t(12). Solve -368/3*a - 13034/3*a**4 + 64/3 + 8428/3*a**y - 280*a**2 = 0.
-4/19, 2/7
Let w = -412202/5 + 82441. Factor -27/5 - w*x**2 - 18/5*x.
-3*(x + 3)**2/5
Factor 43/10*b**2 - 3/10*b**3 - 109/10*b - 31/2.
-(b - 5)*(b + 1)*(3*b - 31)/10
Let u(l) be the first derivative of -201*l**5/10 + 99*l**4/2 + 205*l**3/2 + 9*l**2/2 + 1398. Solve u(w) = 0 for w.
-1, -2/67, 0, 3
Let q(g) = -871*g - 5224. Let p be q(-6). Suppose 12/7 + 0*v**2 - 2/7*v**3 + p*v = 0. What is v?
-2, -1, 3
Let m(y) be the second derivative of 1/27*y**3 + 0 + 39*y + 0*y**2 + 1/108*y**4. Factor m(n).
n*(n + 2)/9
Suppose -656 = -4*n - 3452. Let t = n + 703. Factor -2/13*h**t + 4/13*h**3 + 0*h - 2/13*h**2 + 0.
-2*h**2*(h - 1)**2/13
Let s(g) be the second derivative of 11*g**4/36 - 2*g**3 + 14*g**2/3 + 2811*g. Factor s(d).
(d - 2)*(11*d - 14)/3
Let o = 76561 - 76557. Factor 0 + 3/2*l**o - 3/2*l**2 + 9/2*l**3 - 9/2*l.
3*l*(l - 1)*(l + 1)*(l + 3)/2
Let g(f) = 8*f**2 - 40*f + 10. Let i = -173 - -172. Let n(d) = d**2 - d - 1. Let b(a) = i*g(a) + 2*n(a). Let b(q) = 0. What is q?
1/3, 6
Let t = -537 - -29548/55. Let p = 81/110 - t. Solve -a**2 + 1/2*a + p*a**5 - a**3 + 1/2 + 1/2*a**4 = 0 for a.
-1, 1
Let p = 854734 + -854732. Find g such that -8/9 + g - 1/9*g**p = 0.
1, 8
Let g(x) be the second derivative of x**4/12 - 10*x**3 + 450*x**2 + 24*x - 2. Find k, given that g(k) = 0.
30
Let l(c) be the second derivative of 0 - 1/4*c**4 + 0*c**2 + 44*c + 1/2*c**3. Factor l(r).
-3*r*(r - 1)
Let y be (-21)/((-2772)/(-24)) + 24/11. Factor 5*x**y + 594*x + 4*x**2 - 6*x**3 - 597*x.
-3*x*(x - 1)*(2*x - 1)
Let l be -3 + -14 + 3*2/(-6). Let d(t) = -t**3 - 19*t**2 - 17*t + 20. Let f be d(l). Determine h so that 6*h**2 - 187*h + f*h**2 - 4*h**2 + 195*h = 0.
-2, 0
Let c(b) be the first derivative of -b**4/17 + 762*b**3/17 - 1711*b**2/17 + 1140*b/17 - 721. Find v, given that c(v) = 0.
1/2, 1, 570
Let k = 6 + 3. Let a(y) = -y**2 + 9*y + 8. Let s be a(k). Find i, given that -2*i + 24*i**3 - 39*i**2 + 144*i**4 + s*i + 0*i = 0.
-2/3, 0, 1/4
Let k = 12 - 24. Let l be (2/(-8) - 15/k) + 1. Determine r so that 8*r**2 + 20*r + r - 20 - 12*r**l + 3*r = 0.
1, 5
Let q be 10/4*(-4)/7*35/(-10). Let g(y) be the first derivative of 11 - y**q - 5/6*y**6 + 0*y**3 + 0*y**2 + 0*y + 5/2*y**4. Let g(r) = 0. Calculate r.
-2, 0, 1
Let c(d) = -3865*d - 19323. Let t be c(-5). Factor -2/5*f**t + 6/5 + 4/5*f.
-2*(f - 3)*(f + 1)/5
Let s(m) = m**2 + 2058*m + 1058862. Let n(j) = -2*j**2 - 4116*j - 2117731. Let u(a) = 3*n(a) + 7*s(a). Suppose u(q) = 0. Calculate q.
-1029
Let i be -15 - (-8 - (-1105)/(-156)). Let v(h) be the first derivative of 7/6*h**2 + i*h**4 + 14 + 5/9*h**3 + h. Suppose v(j) = 0. Calculate j.
-3, -1
Let i be 1/(-2) - (-588)/(-168). Let j be 6*i/8 - -5. Factor -16/5*y + 0*y**3 + 2/5*y**4 - 6/5 - 12/5*y**j.
2*(y - 3)*(y + 1)**3/5
Let y be 3/(18/(-10))*18612/(-77550). Factor y*n**2 + 0*n - 6/5*n**4 + 11/5*n**3 + 0.
-n**2*(n - 2)*(6*n + 1)/5
Let u(v) be the third derivative of -v**6/270 - 269*v**5/27 - 75488*v**4/9 - 100352*v**3/3 + 340*v**2 - 19*v. Solve u(k) = 0.
-672, -1
Let y(k) be the third derivative of 161*k**2 + 1/48*k**4 + 0 + 0*k - 1/3*k**3 + 1/240*k**5. Factor y(a).
(a - 2)*(a + 4)/4
Let g(j) be the first derivative of -j**5/40 - j**4/12 + j**3/3 + 2*j**2 - 17*j + 64. Let u(n) be the first derivative of g(n). Find h such that u(h) = 0.
-2, 2
Let c(w) be the third derivative of -w**8/1176 + w**7/147 - w**6/420 - w**5/10 + 3*w**4/14 + 5*w**2 + 254. Suppose c(i) = 0. What is i?
-2, 0, 1, 3
Let i(a) = -30*a + 62. Let t be i(2). Let s(m) be the third derivative of 2/15*m**3 + 1/20*m**4 - 1/300*m**6 + 0*m**5 + t*m**2 + 0 + 0*m. What is p in s(p) = 0?
-1, 2
Suppose -1278 = -3*g - 174. Suppose 11*h = -346 + g. Let -o**5 + 0 + 11/5*o**3 - 6/5*o**h + 0*o + 12/5*o**4 = 0. What is o?
-1, 0, 2/5, 3
Let w = -15 + 22. Suppose -w*g + 3*g = 4. Let b(x) = 12*x + 12. Let u(t) = -t**2 - t. Let s(d) = g*b(d) - 3*u(d). Factor s(a).
3*(a - 4)*(a + 1)
Let w be 7 + 4 + 266/(-16) + 6. Let u(p) be the second derivative of -3/10*p**5 + 0 + 1/5*p**6 - 3/4*p**2 + 18*p + p**3 - w*p**4. Suppose u(m) = 0. What is m?
-1, 1/2, 1
Let -6*m**5 + 54*m**3 - 45/2 + 132*m + 51/2*m**4 - 183*m**2 = 0. What is m?
-3, 1/4, 1, 5
Let c = -63464/5 + 12693. Let x(l) be the first derivative of 2/3*l**3 - c*l**5 + 3/4*l**4 + 8*l - 24 - 6*l**2. Factor x(r).
-(r - 2)**2*(r - 1)*(r + 2)
Suppose 0 = -2*x - 5*w + 46, -4*w = -95 + 63. Let b(t) be the first derivative of 3/4*t**2 + 1/2*t**x - 28 - 3*t. Find f such that b(f) = 0.
-2, 1
Determine m so that -261072*m**2 + 1772*m**3 - 4*m**4 + 12704320*m - 2917070 + 9028920 + 4756633 + 2098685 = 0.
-1, 148
Suppose 2*v - 4*s = -2, -120*v + 5*s = -116*v + 1. Let d(p) be the first derivative of -1/4*p**3 + v - 15/8*p**2 - 3*p. Solve d(f) = 0 for f.
-4, -1
Let p(g) be the third derivative of -g**8/560 + 9*g**7/350 - 7*g**6/200 - 9*g**5/100 + g**4/5 - 492*g**2 + g + 5. Find u, given that p(u) = 0.
-1, 0, 1, 8
Let v(q) be the first derivative of 135/2*q**2 + 70*q - 10/3*q**3 + 123. Determine u so that v(u) = 0.
-1/2, 14
Let w(g) be the first derivative of 166/5*g**2 + 116/5*g**3 + 33/5*g**4 + 8/25*g**5 - 75 + 108/5*g. Suppose w(f) = 0. What is f?
-27/2, -1
Factor 32/3 - 116/21*w + 2/21*w**3 - 110/21*w**2.
2*(w - 56)*(w - 1)*(w + 2)/21
Let o(f) be the second derivative of f**5/140 + 17*f**4/28 + 7*f**3/3 + 2189*f + 1. Factor o(g).
g*(g + 2)*(g + 49)/7
Let t(h) be the second derivative of 0*h**2 - 20/21*h**4 + 0 + 9/35*h**5 + 8/21*h**3 + h. Factor t(i).
4*i*(i - 2)*(9*i - 2)/7
Let b(j) be the first derivative of -j**6/15 + j**5/5 + 7*j**4/6 + 4*j**3/3 + 39*j + 9. Let h(z) be