 c be ((-8)/5)/(i/425). Factor 15*v**3 - c*v + 46*v**4 - 22*v**4 - 19*v**4.
5*v*(v - 1)*(v + 2)**2
Let q(t) = -11*t**3 + 34*t**2 - 133*t + 98. Let f(s) = -2*s**3 - s**2 - s + 2. Let r(a) = 6*f(a) - q(a). Factor r(g).
-(g - 2)*(g - 1)*(g + 43)
Factor -2*g**2 + 10/3*g**3 - 6*g - 2/3*g**4 + 0.
-2*g*(g - 3)**2*(g + 1)/3
Let x(p) = -2011*p**2 - 250 + 1001*p**2 + 1009*p**2 + 34*p. Let g be x(23). Solve -1/4*m**g + 2*m**2 + 0 - 4*m = 0.
0, 4
Let v be 6/(-8) + ((-410)/8 - -2). Let u = -43 - v. What is s in 18*s + 5*s**4 - u*s**2 - 8*s**2 - 8*s = 0?
-2, 0, 1
Factor -1791*c**2 - 2138454*c - 1/2*c**3 - 851104692.
-(c + 1194)**3/2
Let t(l) = 18*l - 196. Let j be t(11). Determine b so that 0*b + 3153 + 0*b**j + 11*b + 3*b**2 - 3*b**3 - 3147 - b**4 = 0.
-3, -1, 2
Let g(m) = -10*m**4 + 45*m**3 + 175*m**2 + 195*m + 55. Let p(z) = 15*z**4 - 67*z**3 - 263*z**2 - 293*z - 84. Let n(i) = 7*g(i) + 5*p(i). Factor n(d).
5*(d - 7)*(d + 1)**3
Let x(c) = -3*c**3 - 3*c**2 - 8*c + 3. Let v(n) = -n**3 - n**2 - n. Let z(q) = 4*v(q) - x(q). Let j be z(-3). Factor 21*g + 3 - 1 - 3*g**j - 7*g**2 - 14 + g**2.
-3*(g - 1)**2*(g + 4)
Let d(p) = 2*p**3 + 23*p**2 + 117*p + 378. Let z be d(-7). Factor 0 + 0*t**2 - 1/4*t**5 - 49/4*t**3 + 7/2*t**4 + z*t.
-t**3*(t - 7)**2/4
Factor 1/2*i**2 + 49/2 + 25*i.
(i + 1)*(i + 49)/2
Let l(w) be the first derivative of -w**5/5 - 43*w**4/4 - 391*w**3/3 + 1587*w**2/2 - 122. Find y such that l(y) = 0.
-23, 0, 3
Let u(b) = 11*b**2 - 16*b + 7. Let o be u(2). Factor 35*p**4 - 6 - 32*p**2 + 36*p**4 - 75*p**4 - o*p**3 - 23*p.
-(p + 1)**2*(p + 2)*(4*p + 3)
Let s(i) be the second derivative of i**7/70 + 7*i**6/20 + 49*i**5/20 - 87*i**2/2 - 21*i. Let b(f) be the first derivative of s(f). Find a such that b(a) = 0.
-7, 0
Let o(l) = 2*l + 23. Let c be o(-10). Let d(h) be the first derivative of -1 - 9*h**3 - 12 - h**c - h**4 + 14*h**3 - 4*h**2. Factor d(a).
-4*a*(a - 2)*(a - 1)
Let n(u) be the third derivative of u**7/840 - 7*u**6/360 + 2*u**5/15 - u**4/2 + 5*u**3/2 + 3*u**2 - 3*u. Let g(t) be the first derivative of n(t). Factor g(v).
(v - 3)*(v - 2)**2
Let l(a) be the second derivative of a**7/126 - 31*a**6/90 + 79*a**5/30 - 50*a**4/9 - 2518*a - 2. Find s such that l(s) = 0.
0, 2, 4, 25
Let v be ((-1)/(-4))/(13/104). Factor -496*y + 24 - y**2 - 2*y**v + 517*y.
-3*(y - 8)*(y + 1)
Let q(t) be the first derivative of t**3 + 36*t**2 - 2*t**3 + 144*t - 146 + 43 - 25 - 3*t**2. Factor q(h).
-3*(h - 24)*(h + 2)
Let h(c) = 472*c**2 - 1482*c - 10. Let g(k) = 477*k**2 - 1480*k - 9. Let w(t) = -4*g(t) + 3*h(t). Factor w(v).
-2*(v - 3)*(246*v + 1)
Let r(n) be the first derivative of 9/4*n**4 + 3/5*n**5 - 9/2*n**2 + 12*n + 30 - 5*n**3. Let r(u) = 0. What is u?
-4, -1, 1
Let d(z) be the third derivative of z**6/30 - 263*z**5/5 + 69169*z**4/2 - 36382894*z**3/3 + 1577*z**2 + 1. Let d(v) = 0. Calculate v.
263
Let y(h) be the first derivative of -h**3/12 - 119*h**2/2 + 477*h/4 + 801. Factor y(w).
-(w - 1)*(w + 477)/4
Let k be (-11*(-241)/55 + 3)*(-60)/(-8). Determine v, given that -2/3*v**2 - 32*v - k = 0.
-24
Let f(d) be the first derivative of d**7/2205 + d**6/630 + 73*d**2/2 + 39. Let c(l) be the second derivative of f(l). Factor c(a).
2*a**3*(a + 2)/21
Let d(p) = -5199218759*p**3 - 22687572*p**2 - 33027*p - 16. Let c(k) = -k**3 - 8*k**2 - 3*k. Let i(q) = -18*c(q) + 2*d(q). Factor i(m).
-4*(1375*m + 2)**3
Let i = -27 - -27. Suppose -5*s - 19 = -2*d - i, -4*d + 20 = -4*s. What is b in 5*b**4 + d*b**3 - 13*b**4 + 2*b**3 + 4*b**4 = 0?
0, 1
Let u(a) be the second derivative of -a**5/5 + 44*a**4/3 + 800*a**3/3 + 1664*a**2 - a + 131. Determine z so that u(z) = 0.
-4, 52
Let f(i) be the second derivative of i**6/30 + 39*i**5/10 + 139*i**4 + 2849*i**3/3 + 4107*i**2/2 + 7*i - 99. Factor f(x).
(x + 1)*(x + 3)*(x + 37)**2
Let d(i) = 6*i + 108. Let z be d(-16). Factor -20 + u**2 + z - 16*u + 9*u.
(u - 8)*(u + 1)
Let t(r) be the third derivative of 0*r + 0 - 1/20*r**5 + 1/20*r**6 - r**4 + 2*r**3 + 84*r**2. Factor t(d).
3*(d - 2)*(d + 2)*(2*d - 1)
Let f(o) = 3*o**2 - 1943*o - 3796. Let d(g) = g**2 - 648*g - 1264. Let a(x) = 17*d(x) - 6*f(x). Factor a(j).
-(j - 644)*(j + 2)
Let k(c) be the second derivative of 137*c - 2/13*c**4 + 0*c**2 + 0 + 4/39*c**3 + 1/26*c**5. Suppose k(a) = 0. Calculate a.
0, 2/5, 2
Let t(g) be the third derivative of g**5/90 - 10*g**4/9 + 400*g**3/9 + 300*g**2 + 4*g. Suppose t(z) = 0. What is z?
20
Let v(j) be the second derivative of -5/24*j**6 + 91/24*j**3 + 0 - 131/48*j**4 + 107*j + 1/84*j**7 - 3*j**2 + 87/80*j**5. Suppose v(c) = 0. Calculate c.
1, 3/2, 8
Let l(q) be the third derivative of -2*q**7/105 - q**6/15 + 224*q**5/15 + 75*q**4 + 150*q**3 - 6*q**2 - 32*q + 11. What is v in l(v) = 0?
-15, -1, 15
Let c(t) = -135*t**3 + 170*t**2 - 190*t. Let a(m) = m**2 - 33*m + 1. Let v(d) = -5*a(d) + c(d). Factor v(s).
-5*(s - 1)*(3*s - 1)*(9*s + 1)
Let a(m) be the first derivative of 1/4*m**3 + 26 - 1/48*m**4 - 1/40*m**5 + 1/240*m**6 + 0*m + 12*m**2. Let w(f) be the second derivative of a(f). Factor w(t).
(t - 3)*(t - 1)*(t + 1)/2
Let q be (8 + -8)/14*(-2)/4. Let y(r) be the third derivative of 1/150*r**5 - 12*r**2 + q*r**4 + 0*r + 0 - 4/15*r**3. Factor y(z).
2*(z - 2)*(z + 2)/5
Let n = 248/361 + 3227/1083. Factor -4*z**2 - 1/2 - n*z.
-(4*z + 3)*(6*z + 1)/6
Let h(f) = -1242*f**2 + 514*f - 94. Let z(v) = -620*v**2 + 257*v - 52. Let a(b) = -5*h(b) + 9*z(b). Factor a(i).
(5*i - 2)*(126*i - 1)
Let d(o) be the third derivative of -26*o**2 + 0 + 11/12*o**4 + 0*o + 1/5*o**5 + 1/60*o**6 + 2*o**3. Determine s so that d(s) = 0.
-3, -2, -1
Let c(v) be the first derivative of 3*v**5/5 - 9*v**4/2 + v**3 + 36*v**2 + 48*v + 911. Factor c(p).
3*(p - 4)**2*(p + 1)**2
Let t(v) = -v - 1. Let z(b) be the first derivative of 3*b**4/4 - 5*b**3 + 9*b**2/2 + 27*b + 15. Let h(y) = -3*t(y) - z(y). Solve h(k) = 0 for k.
-1, 2, 4
Solve -8*r**4 + 192*r**2 - 11*r**3 + 1200*r - 21*r**3 + 4*r**4 - 176*r - 4096 = 0.
-8, 4
Let y(q) be the third derivative of -q**5/15 + 157*q**4/6 + 2*q**2 + 779*q. Factor y(p).
-4*p*(p - 157)
Let d(b) be the second derivative of 2*b**7/21 + 218*b**6/15 + 2796*b**5/5 - 9856*b**4/3 - 25088*b**3/3 + 4*b - 217. Solve d(x) = 0 for x.
-56, -1, 0, 4
Let h be 2013/732 - (-5)/4. Let n(g) be the first derivative of -1/12*g**h + 1/6*g + 0*g**3 + 4 + 1/6*g**2 - 1/30*g**5. Factor n(v).
-(v - 1)*(v + 1)**3/6
Factor 1/2*j**3 + 63/2 + 13/2*j**2 + 51/2*j.
(j + 3)**2*(j + 7)/2
Let b(y) = -y**2 - 4*y - 24. Let n(h) = 15*h + 70 + 6*h**2 - 12 + 38. Let r(v) = -9*b(v) - 2*n(v). Find c, given that r(c) = 0.
-2, 4
Let f be ((-312)/260)/(15/(-10)). Factor f - 22/15*x + 2/15*x**3 + 8/15*x**2.
2*(x - 1)**2*(x + 6)/15
Solve 11*v**5 + 4*v**5 - 1632*v - 201*v**4 - 384 - 94*v**2 + 885*v**3 - 56*v**2 - 3*v**5 = 0 for v.
-1, -1/4, 2, 8
Let d be (-42)/7*((-48)/(-40) + 92/(-60)). Let p(v) be the second derivative of 1/14*v**4 - 20/7*v**d - 2*v + 4/3*v**3 - 23. Determine x, given that p(x) = 0.
-10, 2/3
Let t(i) = -322*i + 26082. Let f be t(81). Factor 9/2*j**2 + f + 1/2*j**3 - 5*j.
j*(j - 1)*(j + 10)/2
Let u(q) be the second derivative of q**4/78 + 186*q**3/13 + 77841*q**2/13 - 603*q. Factor u(t).
2*(t + 279)**2/13
Let o(h) = 28*h**2 + 226*h - 6044. Let j(t) = 5*t**2 + t + 1. Let w = -416 + 415. Let v(g) = w*o(g) + 6*j(g). Factor v(f).
2*(f - 55)**2
Let m(j) be the third derivative of -j**6/240 + 53*j**5/120 + 115*j**4/16 + 177*j**3/4 - 22*j**2 + 1. Determine d, given that m(d) = 0.
-3, 59
Suppose 12804 + 2415*w**3 + 295*w**2 - 215*w**4 - 2500*w**2 + 12805 + 5*w**5 - 25609 = 0. What is w?
0, 1, 21
Let r be 2 + (-4 - 783/(-405)) - (-74)/210. Let 36/7*q + 34/7*q**2 + 0 - r*q**3 = 0. What is q?
-1, 0, 18
Let b(w) be the first derivative of 1/2*w**2 + 0*w + 173 + 2/15*w**3. Factor b(r).
r*(2*r + 5)/5
Suppose 4*y = 5*q - 30, 175*y - 67 = -21*q + 180*y. Factor -16*t**q - 2/3*t**4 - 14/3 - 20/3*t**3 - 44/3*t.
-2*(t + 1)**3*(t + 7)/3
Let a = -88 - -90. Let z be 2 + 0/((-10)/a). Factor 15*x**4 + x**5 - 2*x**2 + 0*x**z + 3*x**3 + x**2 - 18*x**4.
x**2*(x - 1)**3
Let s(h) = -396 + 25*h - 12*h**2 + 374 + 15*h. Let d(u) = -2*u**2 + u + 1. Let l(x) = 4*d(x) - 2*s(x). Factor l(g).
4*(g - 4)*(4*g - 3)
Let i(r) be the third derivative of 1/12*r**6 - 5 - 5/3*r**4 + r**5 + 0*r - 8/3*r**3 - 1/15*r**7 - 6*r**2. Suppose i(c