 - 1227 + 629 + v**2 + 884.
(v - 22)*(v - 13)
Factor 28/11 - 16/11*i + 1/11*i**2.
(i - 14)*(i - 2)/11
Let q = 61367/81908 - -16/20477. Factor q*t + 5/2 - 1/4*t**2.
-(t - 5)*(t + 2)/4
Suppose 17*a + 2*l = 16*a + 1, -5*l + 1 = 2*a. Let d be (-15)/(-4) - 1/(-4). Factor 12*r**4 + a*r**5 - 3*r + 5*r**4 - 11*r**d - 4*r**2 - 2*r**2.
3*r*(r - 1)*(r + 1)**3
Factor -16*j**2 + 30594*j + 3*j**2 - 43754*j - 8659280 + 8*j**2.
-5*(j + 1316)**2
Let x(y) be the first derivative of y**3 - 42*y**2 + 576*y + 2014. Factor x(f).
3*(f - 16)*(f - 12)
Let u = 542 + -539. Factor -6*k**3 + 0*k**5 - 26*k**2 + 27*k**3 + u*k**5 - 79*k**2 - 156*k - 60 + 33*k**4.
3*(k - 2)*(k + 1)**3*(k + 10)
Suppose 33*z - 190 = 866. Factor z*s + 3*s**2 - 6*s + 0*s + 9*s**2 + 10*s - 9*s**3 - 3*s**4.
-3*s*(s - 2)*(s + 2)*(s + 3)
Let g(m) = -2*m + 196. Let f be g(32). Suppose 3*q = -4*b + f, 3*b + 81 = 2*q + 8*b. Factor 96/5*j - q*j**2 + 30*j**3 + 0.
6*j*(5*j - 4)**2/5
Let p(l) be the third derivative of 0 - 1/12*l**5 - 5/8*l**4 + 0*l - 5/3*l**3 - 81*l**2. Factor p(i).
-5*(i + 1)*(i + 2)
Let q = -64 + 69. Suppose 7*m = -q*m + 9*m. Factor m*l + 0 + 3/2*l**2 + 1/2*l**4 - 2*l**3.
l**2*(l - 3)*(l - 1)/2
Let r(c) be the third derivative of 2*c - 5/84*c**4 + 40*c**2 + 0 + 1/210*c**5 + 0*c**3. Solve r(p) = 0.
0, 5
Let p(h) be the third derivative of 1/180*h**5 + 0*h + 1/72*h**4 - 1/18*h**3 - 1/360*h**6 - 33*h**2 + 0. Solve p(m) = 0 for m.
-1, 1
Determine t so that -116 + 191*t**2 - 10 - 56*t**3 + 11*t**2 + 56*t - 10*t**4 - 66 = 0.
-8, -1, 1, 12/5
Let f(u) be the third derivative of u**5/210 - 36*u**4/7 + 15552*u**3/7 + 376*u**2 + 2*u. Factor f(b).
2*(b - 216)**2/7
Let m = 37201 - 260399/7. Determine y so that 32/7*y**2 + 0 - m*y**3 - 4/7*y**4 + 0*y = 0.
-4, 0, 2
Let b(x) be the third derivative of x**8/168 + 11*x**7/630 + x**6/180 - 49*x**4/24 + 6*x**2 + 7. Let q(k) be the second derivative of b(k). Factor q(w).
4*w*(w + 1)*(10*w + 1)
Let w(v) be the second derivative of v**7/189 - 2*v**6/135 - 19*v**5/90 - 14*v**4/27 - 4*v**3/9 + 5528*v. What is g in w(g) = 0?
-2, -1, 0, 6
Factor -47*s - 127*s - 1971 - 3*s**2 - 140*s + 68*s.
-3*(s + 9)*(s + 73)
Let v be 5 - ((-3)/((-18)/75) + -37 + 28). Factor 3/2*i**3 + 0 - v*i**2 + 0*i - 3/2*i**5 + 3/2*i**4.
-3*i**2*(i - 1)**2*(i + 1)/2
Let n(x) = -9*x**3 + 9*x**2 + 20*x - 3. Let w be n(-2). Let u = 471/7 - w. Suppose u - 2/7*l**2 + 2*l = 0. Calculate l.
-1, 8
Suppose -9*r - 16*r - r = 0. Let c(o) be the third derivative of -1/30*o**3 + r - 1/300*o**5 + 0*o - 1/60*o**4 - 15*o**2. Factor c(a).
-(a + 1)**2/5
Suppose n - 5*z - 9 + 31 = 0, 10 = 2*z. Factor 9*j**2 + 38 - 78*j + n*j**3 - 1 + 30*j - 1.
3*(j - 2)*(j - 1)*(j + 6)
Factor 244/7*v**2 + 44/7*v + 0 + 209/7*v**3 + 9/7*v**4.
v*(v + 1)*(v + 22)*(9*v + 2)/7
Let f(u) be the first derivative of 4*u**6/9 - 14*u**5/3 + 33*u**4/2 - 18*u**3 - 9*u**2 - 800. Factor f(n).
2*n*(n - 3)**3*(4*n + 1)/3
Let s(h) be the third derivative of -h**6/360 - 43*h**5/180 - 5*h**4/3 - 10*h**2 + 105. Factor s(d).
-d*(d + 3)*(d + 40)/3
Suppose -2*s - 144 + 368 = 0. Factor -50*j - 100*j**2 + 544*j**2 + 186*j - s*j**3.
-4*j*(4*j - 17)*(7*j + 2)
Let n(m) = 2800*m**2 - 2788*m. Let f(u) = -2797*u**2 + 2785*u + 1. Let s(j) = -12*f(j) - 11*n(j). Suppose s(q) = 0. What is q?
-3/691, 1
Let w(g) = -217*g**4 + 461*g**3 - 361*g**2 + 11*g + 50. Let t(a) = -695*a**4 + 1475*a**3 - 1155*a**2 + 35*a + 160. Let n(l) = -14*t(l) + 45*w(l). Factor n(r).
-5*(r - 1)**3*(7*r + 2)
Let b(c) = 13*c - 45. Let a be b(-14). Let l = 227 + a. Factor -1/7*v**2 + l*v + 3/7*v**3 + 0.
v**2*(3*v - 1)/7
Let v(h) = h + 8. Let l be v(-4). Let i(u) = 4*u - 12. Let q be i(l). Factor -6*k**3 + 3*k**5 - 3*k**4 + 0*k**5 + 3*k**q + 3*k.
3*k*(k - 1)**2*(k + 1)**2
Suppose -4*z - 2460 = 2*z. Let h = -407 - z. Solve -8/11*m**h - 10/11*m**2 - 4/11*m - 2/11*m**4 + 0 = 0 for m.
-2, -1, 0
Let m be (36/6)/6 - (4 + -5). Factor -18*a + 10*a**3 + 403*a**2 - 21*a**4 - 382*a**m + 3*a**5 + 5*a**3.
3*a*(a - 6)*(a - 1)**2*(a + 1)
Let f(n) be the third derivative of n**7/70 - 3*n**6/20 - 47*n**5/20 - 21*n**4/2 - 22*n**3 + 309*n**2 + n. Determine d, given that f(d) = 0.
-2, -1, 11
Let a be (-16)/(-12)*(-1)/(-2). Let j be (-1)/(-3) + 3/9. Find r such that 2/3 - 2/3*r**2 - j*r**3 + a*r = 0.
-1, 1
Let a(p) = -3*p**2 - 18*p + 3. Let k be a(-4). Determine h, given that -k*h**2 - 65*h**2 - 16*h**2 - 1083 - 551*h - 133*h = 0.
-19/6
Let a be -3 + (6/(-2) - 0). Let j(z) = z**2 - 12*z - 22. Let q(n) = -2*n**2 + 26*n + 43. Let t(b) = a*q(b) - 10*j(b). Factor t(k).
2*(k - 19)*(k + 1)
Let m = 542217 - 542215. Suppose 2/3*o**m - 44*o + 0 = 0. What is o?
0, 66
Let g = -544762 + 1089525/2. Suppose 3/2 - 1/2*o - 3/2*o**2 + g*o**3 = 0. Calculate o.
-1, 1, 3
Let n = 877 + -871. Let g be ((-4)/n)/(6/(-18)). Determine x, given that 0 + 6*x - 3/2*x**g = 0.
0, 4
Let t(a) be the third derivative of -a**6/180 + a**5/30 + 5*a**4/18 - 19*a**2. Factor t(n).
-2*n*(n - 5)*(n + 2)/3
Let u(k) = -3*k - 1. Let l be u(-2). Let i = 5161 - 5158. Factor j**2 - 29*j**3 + l*j**2 + 32*j**i.
3*j**2*(j + 2)
Let q be (1/(-13))/(330/(-143)). Let z(b) be the third derivative of 0*b + 18*b**2 + 0 + 1/3*b**3 - 1/12*b**4 + 1/60*b**6 - q*b**5. Factor z(f).
2*(f - 1)**2*(f + 1)
Determine f, given that -f + 1/5*f**5 - 12/5*f**3 - 2/5*f**4 + 0 - 14/5*f**2 = 0.
-1, 0, 5
Let i = 128161 - 512643/4. Find q such that i*q**4 - 1/2*q**2 - 1/4*q**3 + 0 + 0*q = 0.
-1, 0, 2
Let b(a) be the third derivative of -2*a**7/105 - a**6/15 + 4*a**5/3 + 11*a**4 + 30*a**3 - 314*a**2. Suppose b(z) = 0. Calculate z.
-3, -1, 5
Let z(c) be the second derivative of 4*c**2 + 7/20*c**5 - 7/6*c**3 - 3/4*c**4 - 67*c + 1/30*c**6 + 0. Determine m so that z(m) = 0.
-8, -1, 1
Let t(s) be the second derivative of 0 + 325*s + 1/60*s**5 + 0*s**3 - 1/36*s**4 + 0*s**2. What is y in t(y) = 0?
0, 1
Let k(q) = -q**2 + 3*q + 18. Suppose 4*b - n = -68, 0 = 5*b - 6*n + 2*n + 85. Let c(j) = 3*j**2 - 10*j - 57. Let g(v) = b*k(v) - 6*c(v). Factor g(w).
-(w - 12)*(w + 3)
Let -453*f**4 - 7047*f**2 + 11550*f - 23091/2*f**3 - 9/2*f**5 + 7500 = 0. What is f?
-50, -1, -2/3, 1
Let g(c) = -350*c**3 - 169105*c**2 + 237205*c - 67725. Let q(h) = -29*h**3 - 14092*h**2 + 19767*h - 5644. Let n(j) = 2*g(j) - 25*q(j). Factor n(y).
5*(y - 1)*(y + 565)*(5*y - 2)
Factor -9*c + 651 - 951 + 17*c - c**2 - 24*c - 49*c.
-(c + 5)*(c + 60)
Let h(c) be the second derivative of c**4/32 - 571*c**3/8 + 978123*c**2/16 + 106*c - 3. Determine p so that h(p) = 0.
571
Let y(v) be the third derivative of v**7/735 + 9*v**6/35 + 1226*v**5/105 - 2088*v**4/7 + 53824*v**3/21 - 643*v**2. Factor y(k).
2*(k - 4)**2*(k + 58)**2/7
Let t = 147381 - 1326419/9. Factor 2/9 + t*n**2 - 4/3*n.
2*(n - 1)*(5*n - 1)/9
Let y = -1971 + 1971. Let c(n) be the third derivative of 5/8*n**4 - 21*n**2 + 7/60*n**5 + 1/120*n**6 + 0*n + y + 3/2*n**3. Let c(f) = 0. Calculate f.
-3, -1
Let k(a) = 978*a**3 - 4*a**2 + 7*a - 8. Let n be k(2). Suppose -8*x = n - 7854. Factor 1/2*b**2 - 3/2*b**3 - 3/4 + 1/4*b**4 + 1/4*b**x + 5/4*b.
(b - 1)**3*(b + 1)*(b + 3)/4
Let l(z) be the third derivative of -z**6/810 - 7*z**5/270 - 5*z**4/27 - 14*z**3/3 + z**2 - 38. Let q(a) be the first derivative of l(a). Factor q(y).
-4*(y + 2)*(y + 5)/9
Let u be (-2 - (-8)/(-8)) + 14/2. Suppose -105 = -3*p - u*p. Solve 86*i**5 - p*i**2 - 110*i**4 + 34*i**5 - 15*i**3 + 20*i**2 = 0.
-1/4, 0, 1/6, 1
Let -1194*a**2 - 105*a**3 - 3*a**4 - 4620*a - 2994 - 2259 + 1725 = 0. Calculate a.
-14, -6, -1
Factor -u**2 - 1482611 + 993146 - 1798915 - 1261076 - 3768*u.
-(u + 1884)**2
Suppose -1241*w - 29*w + 1083 + 2727 = 0. Determine a, given that 2/13*a**w - 16/13 - 20/13*a - 2/13*a**2 = 0.
-2, -1, 4
Let u(b) be the second derivative of -b**5/50 - 28*b**4/15 - 7*b**3 + 162*b**2/5 - 628*b. Let u(o) = 0. What is o?
-54, -3, 1
Let m(f) be the third derivative of f**6/40 - 3*f**5/20 - 5*f**4/4 + 12*f**3 - 20*f**2 + 108. Let m(c) = 0. Calculate c.
-3, 2, 4
Let g(f) be the second derivative of -41*f**6/6 + f**5/2 - 2885*f. Find x, given that g(x) = 0.
0, 2/41
Let c(h) = -h**3 + 11*h**2 - 16*h + 63. Let b = -1660 + 1670. Let g be c(b). What is p in -180/7*p**2 + 4/7*p**g - 13500/7 + 2700/7*p = 0?
15
Let w(k) be the second derivative of -5*k**6/36 - 3*k**5 - 27*k**4 + 7*k**3 - k**2/2 + 79*k. Let l(q) be the second deri