culate w.
2, 3
Let a(i) = -9*i**2 + 2*i + 38. Let l be a(-9). Let g = -321 - l. Factor 7 + g*d**2 + 25*d**3 - 433*d**2 - 5*d**4 - 17 + 35*d.
-5*(d - 2)*(d - 1)**3
Factor 13*h**4 + 6*h**3 - 13*h**4 + 2*h**2 + 2*h**2 - 2*h**5 + 0*h**3.
-2*h**2*(h - 2)*(h + 1)**2
Let k(g) = -6*g**4 + 45*g**3 - 131*g**2 - 24*g + 168. Let v(p) = -9*p**4 + 69*p**3 - 196*p**2 - 36*p + 252. Let y(u) = 7*k(u) - 5*v(u). Factor y(m).
3*(m - 7)*(m - 2)**2*(m + 1)
Let a(v) = -2*v**3 + 2. Let d(z) = z**4 - 11*z**3 - 116*z**2 - 96*z - 8. Let j(o) = 4*a(o) + d(o). Factor j(n).
n*(n - 24)*(n + 1)*(n + 4)
Let u = 1151 + -1151. Let x(d) be the second derivative of u*d**2 + 0 - 2/5*d**5 - 5/12*d**4 - 2/15*d**6 - d - 1/6*d**3. Factor x(f).
-f*(f + 1)*(2*f + 1)**2
Let u = -31519 - -31521. Factor -10/7*v**u + 0 - 4/7*v.
-2*v*(5*v + 2)/7
Let q(s) = -7*s**2 - 81*s - 1688. Let n(y) = -5*y**2 - 65*y - 1125. Let o(g) = 8*n(g) - 5*q(g). What is z in o(z) = 0?
-16, -7
Let r(q) = 4*q**2 + 26*q - 61. Let k(s) = 1 + 6*s - 9*s - 9*s**2 + 3*s + 7*s**2. Let g(p) = k(p) + r(p). Factor g(x).
2*(x - 2)*(x + 15)
Let r(k) be the third derivative of 0*k**5 - 259*k**2 + 2/105*k**7 + 1/15*k**6 + 0*k + 1/672*k**8 + 0*k**4 + 0*k**3 + 0. Factor r(p).
p**3*(p + 4)**2/2
Let a = 28 - 46. Let u = a - -23. Factor -o**4 + 5*o**5 + u*o**2 - 4*o**3 - 11*o**3 - o**4 - 3*o**4 + 10*o.
5*o*(o - 2)*(o - 1)*(o + 1)**2
Let z(y) be the first derivative of -2/21*y**3 - 110 + 0*y - 1/7*y**2. Factor z(f).
-2*f*(f + 1)/7
Let q be (3 - 30) + (-29575)/(-975). Determine m, given that 58/3*m - 20 + 86/3*m**3 + 194/3*m**2 + q*m**4 = 0.
-5, -3, -1, 2/5
Let u(h) = 1331*h**2 - 666*h**2 - 33*h - 57 - 674*h**2. Let q(s) = -7 - 3*s**2 - 4*s + 2*s**2 + 0*s**2. Let m(c) = 33*q(c) - 4*u(c). Factor m(a).
3*(a - 1)*(a + 1)
Let t be 4/(-5*(1189/(-123) - (-8 - 1))). Let v be -9*2/15*-1. Solve -t*q**2 + 3/5*q**3 - 3/5*q + v = 0.
-1, 1, 2
Let h(w) be the second derivative of -w**6/10 + 48*w**5/5 - 479*w**4/2 - 1056*w**3 - 3267*w**2/2 + 42*w - 19. Factor h(t).
-3*(t - 33)**2*(t + 1)**2
Let n be 7/(3 + ((-3)/(-63) - 3)). Suppose 5*u - 123 = n. Factor -u*j**4 + 57*j**4 + j - 3*j**3 - j.
3*j**3*(j - 1)
Suppose -6*b + b = 11*b. Let s be 2*(-3)/(-15) - (-132)/(-605). Factor b + s*d**2 + 8/11*d.
2*d*(d + 4)/11
Suppose -110*w = -96*w - 336. Suppose -5 = g, 2*s - w = -12*g + 16*g. What is z in 1/3*z**3 - 2/3*z**s + 2/3 - 1/3*z = 0?
-1, 1, 2
Let y(q) be the first derivative of -105/2*q**2 + 12 + 55*q - 10/3*q**3. Factor y(s).
-5*(s + 11)*(2*s - 1)
Let y = 13218 - 13216. Determine p, given that 9/4*p**3 - 57/4*p**y + 99/4*p - 27/4 = 0.
1/3, 3
Let z(k) be the second derivative of -k**5/40 + 53*k**4/2 - 423*k**3/4 + 317*k**2/2 - 3508*k. Let z(n) = 0. What is n?
1, 634
Let t(a) = 398*a**2 + 286558*a - 1437. Let o be t(-720). Determine l so that 8/9*l - 1/9*l**4 + 0 - 2/3*l**o + 4/9*l**2 + 1/9*l**5 = 0.
-2, -1, 0, 2
Let w(u) be the first derivative of u**4/42 + 2*u**3/3 + 7*u**2 + 237*u + 206. Let d(x) be the first derivative of w(x). Factor d(b).
2*(b + 7)**2/7
Suppose 20*w - 11*w = -36. Let r be (-4)/(0 + 8) - 2/w. Factor -209*t**3 + r*t**2 + 208*t**3 - t**2.
-t**2*(t + 1)
Let h(z) be the third derivative of -z**8/4480 - 19*z**7/1680 - 9*z**4/4 + z**3/3 + 4*z**2 + 5*z. Let j(g) be the second derivative of h(g). Factor j(d).
-3*d**2*(d + 19)/2
Let r(f) be the first derivative of f**8/336 + f**7/105 + f**6/120 + 15*f**2 + f - 110. Let k(o) be the second derivative of r(o). Factor k(j).
j**3*(j + 1)**2
Let j(g) = -3 + 2 + g**5 - 1785*g - g**2 + 1786*g + g**4. Let k(n) = -5*n**5 - 8*n**4 + 6*n**2 - 6*n + 6. Let q(t) = -6*j(t) - k(t). Factor q(x).
-x**4*(x - 2)
Suppose 23*s - 965 = -68. Let r(q) = -5*q + 197. Let f be r(s). Factor 1/4*w - 5/4*w**3 + 0 - 1/8*w**f.
-w*(2*w + 1)*(5*w - 2)/8
Let o(a) be the second derivative of a**7/28 - 7*a**6/20 + 9*a**5/40 + 19*a**4/8 - a**3 - 9*a**2 + 172*a + 6. Let o(f) = 0. What is f?
-1, 1, 2, 6
Let l(j) be the first derivative of -64 - 3*j - 1/8*j**3 + 9/8*j**2. Determine c, given that l(c) = 0.
2, 4
Suppose -78 = -2*g - g. Find p such that -g*p**2 - 25*p + 0*p**3 + 46*p**2 - 5*p**3 + 10 = 0.
1, 2
Factor 246/5 - 2/5*b**2 + 76/5*b.
-2*(b - 41)*(b + 3)/5
Let f be ((-29680)/(-1696))/(1*2)*(-2)/(-7). Find n such that -7/4*n - f - 1/4*n**2 = 0.
-5, -2
Suppose 56 = 2*n + 3*j, 5*j = 3*n + 27 - 111. Suppose -n*y - 44 = -100. Factor 2/7*g**y - 4/7*g**3 - 2/7 + 4/7*g.
-2*(g - 1)*(g + 1)*(2*g - 1)/7
Let q(c) be the first derivative of c**6/60 - c**5/10 - 2*c**4 + 80*c**3/3 + 2*c**2 - 149. Let w(x) be the second derivative of q(x). Let w(v) = 0. What is v?
-5, 4
Let b(a) be the second derivative of a**7/147 + 151*a**6/105 + 149*a**5/35 - a**4/21 - 299*a**3/21 - 149*a**2/7 + 5*a + 33. Find p, given that b(p) = 0.
-149, -1, 1
Solve 18*o - 2*o**3 - 11*o - 21*o + 14*o = 0 for o.
0
Let u(w) be the second derivative of -w**4/20 - 83*w**3/10 - 243*w**2/5 + 1988*w. Determine b, given that u(b) = 0.
-81, -2
Let o be ((-4)/6)/1*(54/22 - 3). Let d(t) be the second derivative of -o*t**2 + 0 - 7*t - 5/66*t**4 - 1/110*t**5 - 8/33*t**3. What is g in d(g) = 0?
-2, -1
Let f(r) = 4*r**2 + 22*r - 59. Let w(x) = -2*x**2 + 14 - 2679*x + 2669*x + 16. Let a(z) = -6*f(z) - 11*w(z). Solve a(p) = 0 for p.
-12, 1
Let k(n) = -n**3 + 7*n**2 - 3*n + 23. Let b be k(7). Find w, given that -51*w**3 + 9*w**4 - 12*w**b + 2*w**3 + 7*w**5 + 9*w**3 = 0.
-3, -2/7, 0, 2
Let m(x) be the second derivative of x**5/15 + 2*x**4/9 - 32*x**3/3 - 1252*x. Factor m(w).
4*w*(w - 6)*(w + 8)/3
Let v be (22/924)/(20 + 4063/(-204)). Factor v*l**2 + 18/7 + 12/7*l.
2*(l + 3)**2/7
Let c(s) be the second derivative of 2*s**6/45 + 83*s**5/90 + 41*s**4/54 - 332*s**3/27 - 260*s**2/9 - 11232*s. What is z in c(z) = 0?
-13, -2, -5/6, 2
Let g = -403 + 407. Suppose -g*r - 12 = -2*r + 4*t, 3*r - 3*t = 18. Determine m so that 8*m**r + 1/6*m**4 + 0 - 32/3*m - 2*m**3 = 0.
0, 4
Let c(u) be the first derivative of -1/10*u**2 + 0*u**3 - 1/30*u**6 + 0*u**5 + 46 + 1/10*u**4 + 0*u. Factor c(p).
-p*(p - 1)**2*(p + 1)**2/5
Let o(h) be the first derivative of 13 + 7/13*h**2 - 6/13*h + 1/26*h**4 - 10/39*h**3. Find t, given that o(t) = 0.
1, 3
Find z, given that -18134*z + 4239*z - 18593*z - 3*z**2 + 65966884 + 128*z**2 - 121*z**2 = 0.
4061
Let c = 14441/12 + -1202. Let s(m) be the third derivative of c*m**5 - 25/3*m**4 + 0*m - 1/12*m**6 + 0 - 4*m**2 + 40/3*m**3. Factor s(u).
-5*(u - 4)**2*(2*u - 1)
Let z = 342435/4 + -85608. Factor 3/4 - 1/8*c**3 - z*c**2 + 1/8*c.
-(c - 1)*(c + 1)*(c + 6)/8
Let k(l) be the first derivative of -5*l**6/6 + 23*l**5 - 105*l**4/4 - 115*l**3/3 + 55*l**2 - 5029. Solve k(w) = 0.
-1, 0, 1, 22
Suppose 233*f + 25 = 236*f - 4*g, -2*f + 3*g + 18 = 0. Suppose -k**2 + 0 + 3/4*k + 1/4*k**f = 0. Calculate k.
0, 1, 3
Solve 62*c + 0 - 6769*c**4 - 77*c + 20*c**5 + 0 + 6709*c**4 - 15*c**3 + 50*c**2 = 0.
-1, 0, 1/2, 3
Let k(d) be the first derivative of 12*d**3 + 266*d**2 - 120*d + 3793. Determine f, given that k(f) = 0.
-15, 2/9
Let f(l) = 2*l**2 + 15*l - 3. Let a be f(-8). Let -4*w**3 + 184*w**4 - 90*w**4 - 86*w**4 - 4*w**a = 0. Calculate w.
0, 1
Factor -2/3*a**2 - 16808402/3 + 11596/3*a.
-2*(a - 2899)**2/3
Let p(i) be the first derivative of -5*i**3/12 + 1435*i**2/4 - 411845*i/4 + 2450. Factor p(u).
-5*(u - 287)**2/4
Let y(g) be the second derivative of 1/1980*g**6 + 12/11*g**4 + 2/55*g**5 + 0 - 2*g**3 + 0*g**2 - 6*g. Let m(x) be the second derivative of y(x). Factor m(i).
2*(i + 12)**2/11
Let v(q) be the first derivative of 2*q**3/27 + 269*q**2/9 + 913. Solve v(w) = 0.
-269, 0
Let k(p) = 5*p**2 - p - 10. Let s(w) = -3*w**2 + 5. Let m(f) = -4*k(f) - 7*s(f). Let x be m(-3). Factor 0*o + 0 + 2*o + 5*o - x - 5*o**2.
-(o - 1)*(5*o - 2)
Let c(b) = -54*b**3 + 12429*b**2 - 25585389*b + 17611249263. Let t(o) = 25*o**3 - 6213*o**2 + 12792693*o - 8805624631. Let m(u) = 6*c(u) + 13*t(u). Factor m(l).
(l - 2065)**3
Let w(k) be the first derivative of 2*k**3/39 + 115*k**2/13 + 4. What is b in w(b) = 0?
-115, 0
Let 24*y**4 + 16*y**5 - 12776 + 392*y**2 - 254*y**3 - 162*y - 97*y**3 + 12776 + 67*y**2 = 0. Calculate y.
-6, 0, 3/4, 3
Find r such that 12/5 - 14/5*r + 2/5*r**2 = 0.
1, 6
Let t = -350 - -217. Let v = t + 248. Factor -16 + 2*y**5 + 50*y**3 + 56*y + 39*y**2 - v*y**2 - 28*y**4 + 12*y**4.
2*(y - 2)**3*(y - 