4 + 199*g**3 + 221*g**2 - 193*g - 222. Let k(o) = -13*i(o) + 6*t(o). Solve k(q) = 0.
-1, 1, 42
Let i(o) = o - 2. Suppose -39 = -4*t - 19. Let x be i(t). Factor -5*n - n**x - n**4 - 8*n + 5*n**3 - 3*n + 16.
-(n - 2)**3*(n + 2)
Let m(v) = -6*v - 27. Let b be m(-5). Let 99 - 108 + 27*h**b - 12*h - 63*h**2 - 39*h = 0. What is h?
-1/3, 3
Let i(f) be the third derivative of 1/105*f**7 + 0 + 2*f**3 - 7/12*f**4 - 1/10*f**5 + 26*f**2 + 0*f + 1/20*f**6. Factor i(x).
2*(x - 1)**2*(x + 2)*(x + 3)
Let v(s) = -s + 50. Let d be v(23). Solve -d*i**2 - 24 - 20*i - 83*i - 11*i = 0 for i.
-4, -2/9
Let k(b) be the third derivative of -b**6/24 - 89*b**5/4 + 895*b**4/8 - 1345*b**3/6 - 2*b**2 + 1361. Solve k(h) = 0.
-269, 1
Let y be (-3)/(-4)*(-1 - -2) + (-879)/(-293). Let m(p) be the first derivative of -p**3 + 6 - y*p**2 + 9/2*p. Let m(z) = 0. What is z?
-3, 1/2
Determine c, given that -127*c**3 + 34*c**2 + 72*c**3 - 928*c + 5058 + 57*c**3 - 834 = 0.
-33, 8
Let i = 43 + -27. Let y be ((-7)/42)/(6/(-45))*4. Solve -y*k - 32*k**2 + i*k**2 + 21*k**2 = 0.
0, 1
Suppose -22*n + 100 = -18*n. Suppose n = 9*v - 2. Suppose 0*g**3 + 3*g**2 - 18*g + 25*g + 9 - 22*g + v*g**3 = 0. Calculate g.
-3, 1
Let b = -2840 - -5037. Let a be 2/(-3) + 1688/3. Let a*r**2 - 12 + 156*r + b*r**3 - 1576*r**2 + 4 = 0. Calculate r.
2/13
Let g(z) be the first derivative of -85*z**3 - 895*z**2 - 35*z - 1507. Factor g(p).
-5*(p + 7)*(51*p + 1)
Let j(h) = h**2 - 245*h + 2056. Let z(k) = 3*k**2 - 240*k + 2053. Let g(m) = -4*j(m) + 3*z(m). Suppose g(s) = 0. What is s?
-59, 7
Let j(s) be the first derivative of 7*s**5/80 + s**4/4 + s**3/8 - s**2/4 + 4*s - 72. Let y(a) be the first derivative of j(a). Find n, given that y(n) = 0.
-1, 2/7
Suppose -1683*p + 942*p = 0. Find a, given that -9/5*a**2 + p*a + 12/5 - 3/5*a**3 = 0.
-2, 1
Factor -1/2*s**4 - 704*s - 210*s**2 - 512 - 37/2*s**3.
-(s + 1)*(s + 4)*(s + 16)**2/2
Suppose -186*x**4 - 10660*x**2 - 6724 + 336*x**3 + 13776*x + 182*x**4 + 3276*x**2 = 0. Calculate x.
1, 41
Let r(b) = -9*b**4 + 113*b**3 - 1512*b**2 + 4393*b - 3070. Let f(y) = 3*y**4 - 36*y**3 + 504*y**2 - 1464*y + 1023. Let g(z) = -17*f(z) - 6*r(z). Factor g(p).
3*(p - 7)**3*(p - 1)
Let h(v) be the second derivative of -5*v**6/2 - 564*v**5/5 - 1485*v**4/4 - 407*v**3 - 84*v**2 + 3*v - 604. Let h(l) = 0. Calculate l.
-28, -1, -2/25
Let v be ((-63)/14 - -3)*20/(-6). Let f(x) be the first derivative of -5/3*x**3 + x**v + 0*x**4 + 0*x + 0*x**2 + 9. Factor f(r).
5*r**2*(r - 1)*(r + 1)
Let s(r) be the first derivative of -r**4/2 + 346*r**3/3 - 1011*r**2 + 3006*r + 7564. Factor s(c).
-2*(c - 167)*(c - 3)**2
Factor -901*g**3 + 4*g**4 + 80*g**2 + 113*g + 933*g**3 - 49*g.
4*g*(g + 2)**2*(g + 4)
Let p(t) be the third derivative of -t**5/150 + 53*t**4/60 + 18*t**3/5 - 5*t**2 - t + 63. Factor p(b).
-2*(b - 54)*(b + 1)/5
Suppose 45*d - 48*d = -6. Factor 2 - 414*n**2 + 3*n**4 + 9*n**3 - 2 + 402*n**d.
3*n**2*(n - 1)*(n + 4)
Let 96 - 41*f**2 + 1/2*f**5 + 93/2*f**3 - 116*f + 14*f**4 = 0. What is f?
-24, -4, -2, 1
Let t(i) = -60*i**3 - 10070*i**2 + 554435*i + 564515. Let m(u) = 7*u**3 + 1119*u**2 - 61604*u - 62724. Let d(l) = 35*m(l) + 4*t(l). Factor d(p).
5*(p - 112)**2*(p + 1)
Suppose 0 = -4*u + 2*m - 4, -10*u = 24*m - 20*m - 8. Determine y so that -1/10*y**2 + u - 37/10*y = 0.
-37, 0
Let -2/3*a**5 - 406/3*a**3 - 184*a**2 + 48*a**4 + 0 + 0*a = 0. Calculate a.
-1, 0, 4, 69
Let s be -1*-2*(-15)/(-10). Factor -301*z + 361*z - s*z**2 - 2*z**2.
-5*z*(z - 12)
Suppose -2*f + 1324 = 414. Suppose -60*t - 75*t**5 - 115*t + 52*t - 465*t**2 - f*t**4 - 67*t + 1105*t**3 + 80 = 0. Calculate t.
-8, -2/5, 1/3, 1
Let h be (6/(-2) + 4)/(2/6). Factor -95*a**h + 179*a**3 + 31*a**2 - 82*a**2 - 30*a - 24*a**3.
3*a*(4*a - 5)*(5*a + 2)
Suppose 9*s - 7*s = g - 4, -4 = -4*g + 5*s. Let k be (g/(-3))/((-3 - -7)/4). Factor -16/3*b**2 + k*b**5 + 32/3*b**3 - 20/3*b**4 + 0*b + 0.
4*b**2*(b - 2)**2*(b - 1)/3
Let y(o) be the third derivative of -1/72*o**6 + 0*o + 0 - o**2 + 0*o**4 + 2/3*o**3 - 5/24*o**5. Let l(p) be the first derivative of y(p). Solve l(b) = 0 for b.
-5, 0
Let g(t) = t**2 + 10*t + 18. Let i be g(-4). Let c(y) = y**3 + 5*y**2 - 4*y + 14. Let f be c(i). Factor -4*d - 3 + 0 - 8*d**f + 7*d**2 - 1.
-(d + 2)**2
Let p(q) be the first derivative of -q**4/2 + 24*q**3 + 157*q**2 + 240*q - 671. Determine d so that p(d) = 0.
-3, -1, 40
Let z(w) be the first derivative of -2/39*w**3 + 9/13*w**2 - 28/13*w + 195. Find r such that z(r) = 0.
2, 7
Let j be (-66)/(-8) - (2/(-8))/((-36)/864). Let s(z) = z**2 + 8*z + 16. Let d be s(-6). Solve -j - 3/4*i**d - 3/2*i**3 + 3/2*i + 3*i**2 = 0 for i.
-3, -1, 1
Let l = 511594 - 511591. Determine m, given that 0*m**2 - 4*m + 30/11 + 2/11*m**4 + 12/11*m**l = 0.
-5, -3, 1
Determine j so that -18/7 - 9/7*j**3 - 51/7*j - 45/7*j**2 + 3/7*j**4 = 0.
-1, 6
Let b be -264 - -284 - (18 - -2). Let i(s) be the first derivative of 20 - 2/5*s**2 - 8/15*s**3 - 1/25*s**5 + b*s - 1/4*s**4. Factor i(v).
-v*(v + 1)*(v + 2)**2/5
Let b be 6 - 27*(-20)/15. What is j in -b*j + 57*j - 25*j**2 + 25*j - 20 + 5*j**3 = 0?
1, 2
Suppose 5*k - 19 = -9. Let x be (k*-6)/(12/(-8)). Factor -2*g**5 - 2*g**4 + 6*g**3 - 3*g**3 + 5*g**5 + x*g**4.
3*g**3*(g + 1)**2
Let u(m) be the first derivative of -3*m**4/4 + 12*m**3 - 27*m**2/2 - 66*m + 4291. Suppose u(o) = 0. What is o?
-1, 2, 11
Let n(s) be the second derivative of 1/45*s**4 - 4 - 1/150*s**5 + 9*s + 4/15*s**2 + 7/45*s**3. Find w, given that n(w) = 0.
-1, 4
Let v be (1846/(-14))/(-13) - (2 + -3)*-9. Factor -20/7 - 2*f + v*f**2 + 2/7*f**3.
2*(f - 2)*(f + 1)*(f + 5)/7
Let x(v) be the third derivative of 20*v**2 + 1/18*v**4 - 1/270*v**6 + 0*v**3 + 0*v + 0 - 2/135*v**5. Factor x(l).
-4*l*(l - 1)*(l + 3)/9
Let g be (-11)/(154/20)*(400/32 - 14). What is b in g*b + 9/7*b**2 + 1 + 1/7*b**3 = 0?
-7, -1
Suppose 3*p = -6*x + 5*x + 22, 5*x - 4*p - 91 = 0. Let n be (-2)/(-11) + 6128/176. Solve 5*u - 56*u**2 - x*u**2 - 50*u - n*u**3 - 5*u**4 = 0.
-3, -1, 0
Factor -144/7 + 510/7*n - 3*n**2.
-3*(n - 24)*(7*n - 2)/7
Let k be 27/6 - (6/4)/3. Find d such that -20*d**3 - 8*d**4 - 28*d**2 + 4*d + 13*d**4 + k*d + 11*d**4 = 0.
-1, 0, 1/4, 2
Let c(b) be the third derivative of b**7/280 + b**6/160 - 7*b**5/80 - b**4/32 + 3*b**3/4 - 2*b**2 - 32*b. Suppose c(g) = 0. Calculate g.
-3, -1, 1, 2
Let o(b) be the first derivative of b**3/15 + 713*b**2/10 + 712*b/5 + 3392. Let o(c) = 0. Calculate c.
-712, -1
Let q = -1/3055 - -21388/9165. Let m = -315 - -317. Factor q*x**m + 2/3 - 3*x.
(x - 1)*(7*x - 2)/3
Let l(d) be the second derivative of 52*d + 0*d**3 + 1/15*d**6 - 32/9*d**4 + 0 - 47/15*d**5 + 0*d**2. Find a such that l(a) = 0.
-2/3, 0, 32
Let q(x) = 33*x**3 - 7*x**2 + 25*x. Let f(p) = -8*p**3 + 2*p**2 - 6*p. Let m(s) = 25*f(s) + 6*q(s). Find v, given that m(v) = 0.
0, 4
Let j(u) be the first derivative of -u**4 + 1/3*u**3 - 124 + 2*u**2 - 1/5*u**5 + 0*u. Factor j(v).
-v*(v - 1)*(v + 1)*(v + 4)
Let a(v) be the first derivative of -8/15*v**3 + 4/25*v**5 - 3/10*v**4 + 1/15*v**6 + 64 + 4/5*v**2 + 0*v. Find w, given that a(w) = 0.
-2, 0, 1
Let h be ((-784)/1225)/(1/2715). Let s = h + 1740. Factor 3/5*d**3 - 18/5*d**2 + 27/5*d - s.
3*(d - 4)*(d - 1)**2/5
Suppose 2*f = 5*t - 12, -2*t = -5*f - 0 + 12. Find j, given that 12*j**3 - 74*j + 3*j**t + 146*j - 21*j**2 - 102*j = 0.
-5, -1, 0, 2
Let s(q) be the second derivative of -q**5/170 + 74*q**4/51 + 604*q**3/51 + 608*q**2/17 + 833*q. Factor s(o).
-2*(o - 152)*(o + 2)**2/17
Suppose -340*y + 1034*y - 2776 = 0. Solve -8/5*g**2 - 4/5*g**5 + 28/5*g**3 - 48/5*g + 0*g**y + 32/5 = 0.
-2, 1, 2
Let s(n) be the second derivative of n**7/7560 + n**6/216 + 5*n**5/72 - 143*n**4/12 - 200*n. Let x(r) be the third derivative of s(r). Factor x(k).
(k + 5)**2/3
Let q = -220730 - -220736. Factor 28/3*p**3 - 4*p**4 - 4/3 - 32/3*p**2 + 2/3*p**5 + q*p.
2*(p - 2)*(p - 1)**4/3
Suppose -238 = 5*o + 4*k, -211 = 3*o + 4*k - 65. Let v be 3/(-4)*(-50 - o). Factor 1/2*y**5 + 7/2*y**4 + 0 + 6*y**2 + 0*y + 8*y**v.
y**2*(y + 2)**2*(y + 3)/2
Let v = 1044841/1741410 + 1/348282. Factor 1/10*a**5 + 1/5*a**4 - 19/10*a - 2*a**2 - v*a**3 - 3/5.
(a - 3)*(a + 1)**3*(a + 2)/10
Let p = -4983 + 4986. Let o(f) be the third derivative of 1/360*f**6 - 1/72*f**4 + 0*f - 8*f**2 + 1/630*f**7 + 1/9*f**p - 1/60*f**5 + 0. Factor o(