rivative of -f**6/10 + 9*f**5/10 - 3*f**4/4 - 5*f**3 - 23*f + 75. Let a(v) be the first derivative of j(v). Factor a(o).
-3*o*(o - 5)*(o - 2)*(o + 1)
Let j(t) = 11*t**4 + 7*t**3 - 33*t**2 + 5*t. Let z(u) = -5*u**4 - 4*u**3 + 15*u**2 - 2*u. Let w(r) = 2*j(r) + 5*z(r). Factor w(p).
-3*p**2*(p - 1)*(p + 3)
Let y(u) be the second derivative of -u**4/30 - 472*u**3/5 - 501264*u**2/5 + u - 345. Let y(d) = 0. Calculate d.
-708
Solve -220*h**3 + 670*h**3 + 2754204*h - 689138 + 9390*h**2 - 218*h**3 - 224*h**3 = 0 for h.
-587, 1/4
Let b = -216 + 216. Factor b*z**2 - 3*z**2 + 6*z - 3*z.
-3*z*(z - 1)
Let v(c) be the first derivative of -c**3 + 21/2*c**2 + 162 - 24*c - 3/16*c**4. Determine r, given that v(r) = 0.
-8, 2
What is f in 80*f + 53 + 13 - 57*f - 24*f**2 - f**3 - 64*f = 0?
-22, -3, 1
Let n be (((-14)/(-70) - -8) + (-1)/5)/2. Let h(l) be the first derivative of 0*l**2 + n + 0*l + 2/3*l**3. Factor h(f).
2*f**2
Factor 385 + 394 - 819 - 4*s**2 + 44*s.
-4*(s - 10)*(s - 1)
Solve 465/8 - 3/8*h**2 + 39/4*h = 0.
-5, 31
Factor -3*z**3 + 971*z**2 - 1181271*z - 5447*z**2 - 47035*z - 441242*z.
-3*z*(z + 746)**2
Let c(q) = 18*q**3 - 18*q**2 - 2*q + 10. Let m(h) = 4*h**3 - 2*h**2. Let r(x) = c(x) - 4*m(x). Factor r(j).
2*(j - 5)*(j - 1)*(j + 1)
Let y(a) = 2*a + 14. Let t be y(-5). Factor 3*b**4 - 5*b**2 - 2*b + t*b**4 + 34*b**2 + 8*b + 30*b**3.
b*(b + 1)*(b + 3)*(7*b + 2)
Let c(g) = g**2 - 3*g + 4. Let r be c(1). Let n(o) be the third derivative of -1/60*o**4 - 1/10*o**3 + 13*o**r + 0*o + 1/300*o**5 + 0. Factor n(x).
(x - 3)*(x + 1)/5
Let b be 1263/4 + 3 + (-35)/20. Let i = 320 - b. Factor 18/7*m**2 - m**i - 20/7*m + 1/7*m**4 + 8/7.
(m - 2)**3*(m - 1)/7
Let u(c) be the first derivative of 172 - 1/6*c**2 + 1/2*c - 1/18*c**3. Factor u(r).
-(r - 1)*(r + 3)/6
Suppose -6*n = 3010 - 3022. Let o(d) = -d**4 - d**3 + 2. Let z(i) = -5*i**4 - 15*i**3 + 6*i**2 + 8*i + 6. Let f(b) = n*z(b) - 14*o(b). Factor f(h).
4*(h - 2)**2*(h - 1)*(h + 1)
Suppose -1009812 = -46*n + 3*n. Find u, given that -105*u**2 - 23472*u**3 + 107*u + 24 + n*u**3 - 38*u = 0.
-1/4, 1, 8
Let c(o) = -4*o**2 - 6*o + 46. Let i(b) = -21. Let n(f) = c(f) + 2*i(f). Suppose n(s) = 0. What is s?
-2, 1/2
Let 18 - 79 + 847259*c**2 - 1204224*c + 2682*c**3 + 61 + 3*c**4 - 250523*c**2 = 0. What is c?
-448, 0, 2
Let v(s) be the third derivative of 7*s**6/360 + 11*s**5/45 + 17*s**4/18 + 8*s**3/9 - 4*s**2 - 10*s + 12. Factor v(y).
(y + 2)*(y + 4)*(7*y + 2)/3
Determine p, given that 198 + 3/5*p**2 + 339/5*p = 0.
-110, -3
Suppose 75*o**3 + 290*o**2 - 1800*o**4 + 1803*o**4 + 178*o**2 = 0. Calculate o.
-13, -12, 0
Let b(h) = 2*h**2 - 3*h + 1. Let z(m) = -36*m**2 + 720*m + 636. Let y(o) = -20*b(o) - z(o). Factor y(l).
-4*(l + 1)*(l + 164)
Suppose -3*s + 50 = -2*s. Let 3*c**2 - 7*c**2 + s - 31 + 37 - 52*c = 0. What is c?
-14, 1
Let x(c) be the second derivative of 0*c**2 + 1/16*c**4 + 2*c**3 - c - 22. Factor x(s).
3*s*(s + 16)/4
Let c = -74 - -76. Let j be ((-8)/6)/1 + (-10 - -12). Suppose -j*a**3 - 8/3 - 12*a - 11/2*a**c = 0. What is a?
-4, -1/4
Let y be (-8)/44 + (-126)/33 + 7. Factor -5*a**y + 9*a**3 + 8 - 14*a + 14*a**2 - 7*a**2 - 5*a**3.
-(a - 4)*(a - 2)*(a - 1)
Suppose -98/15*r - 172/5 - 2/15*r**2 = 0. What is r?
-43, -6
Let j = 8/679 + -50865/225428. Let h = 3/83 - j. Factor -h*d**2 + 3/2 - 1/4*d.
-(d - 2)*(d + 3)/4
Let -4654*n + 340736 - 20*n**4 + 88*n**4 - 609*n + 4596*n**2 - 4*n**5 - 14056*n**2 - 2481*n + 404*n**3 = 0. Calculate n.
-8, 11
Let o(r) = -2*r**4 - 586*r**3 + 582*r**2 + 2942*r + 1736. Let t(m) = -2*m**4 - 588*m**3 + 580*m**2 + 2951*m + 1735. Let i(q) = -5*o(q) + 4*t(q). Factor i(y).
2*(y - 3)*(y + 1)**2*(y + 290)
Let z(p) be the first derivative of -2*p**6/9 - 2648*p**5/15 - 145192*p**4/3 - 4601024*p**3 + 28781856*p**2 - 58352256*p - 543. Factor z(v).
-4*(v - 2)**2*(v + 222)**3/3
Let j(u) be the first derivative of -u**4/6 - 496*u**3/3 - 46375*u**2 - 550564*u/3 - 1455. Find o such that j(o) = 0.
-371, -2
Let n(w) be the first derivative of w**6/6 - w**5/2 - 25*w**4/4 + 30*w**3 - 19*w - 44. Let s(v) be the first derivative of n(v). Factor s(t).
5*t*(t - 3)**2*(t + 4)
Let x(g) be the second derivative of -8/5*g**2 - 16/15*g**3 + 103/15*g**4 - 91/25*g**5 + 0 + 68*g. Find m, given that x(m) = 0.
-2/13, 2/7, 1
Factor 0 - 86/7*o + 87/7*o**2 - 1/7*o**3.
-o*(o - 86)*(o - 1)/7
Let v = -71934 + 215803/3. Determine g, given that 1/3*g**4 - 1/3*g**2 + 0 - 1/3*g + v*g**3 = 0.
-1, 0, 1
Let r be 4109/91 + (-2)/13. Let l = 54 - r. Determine y so that -4*y**2 + 0*y**2 + l*y**2 + 8 + 10*y - 3 = 0.
-1
Factor 42 - 3/4*r**2 + 3/4*r.
-3*(r - 8)*(r + 7)/4
Let l(v) = -5*v**2 + 6808*v - 2325612. Let c(z) = -5*z**2 + 6811*z - 2325614. Let x(o) = -4*c(o) + 3*l(o). Factor x(y).
5*(y - 682)**2
Let g = -17/30789 - -229131823/153945. Factor 2/5*c**2 - 244/5*c + g.
2*(c - 61)**2/5
Suppose -7 = 2*g + 2*j - 31, 0 = 2*g + 5*j - 39. Suppose 7 + 7 = g*m. Factor -5*q**5 - 39*q**2 + 5*q + 60*q**3 - 31*q**m + 20*q - 10*q**4.
-5*q*(q - 1)**3*(q + 5)
Let q(x) = 5*x**4 - 4*x**3 - x**2 + 48*x + 36. Let n(r) = r**4 - r**2 + 2*r. Let f(a) = -6*n(a) + q(a). Factor f(w).
-(w - 3)*(w + 2)**2*(w + 3)
Let c be (13 - 21)*(-2 + -2 - -3) + (-140)/28. Let 2/21*q**4 - 320/21 - 64/3*q - 44/7*q**2 - 2/21*q**c = 0. What is q?
-4, -1, 10
Solve -38*l**4 - 140*l**2 - 16*l**3 + 351*l + 249*l - 14*l**3 + 43*l**4 + 1440 = 0 for l.
-4, -2, 6
Let v be 1*5 + (15 - 15)/42. Let d(s) be the third derivative of 0 + 1/120*s**6 - 28*s**2 - 1/6*s**4 + 0*s - 1/30*s**v + 4/3*s**3. Factor d(k).
(k - 2)**2*(k + 2)
Let a be (27/(-12))/((-23)/2760). Let k be (-66)/891 - (-2)/a*37. Suppose 2/5 - k*n**2 + 1/5*n = 0. Calculate n.
-1, 2
Let s be (-1152)/21 - (-2)/(-70)*5. Let v be (s/(-25))/(16/10). Factor -1/8*c**3 + 3/4*c**2 + 3/4 - v*c.
-(c - 3)*(c - 2)*(c - 1)/8
Let v(w) = -w**2 - 30*w + 70. Let p be v(-14). Let x be ((-20)/(-6) + -2)*441/p. Let 14/15*t + 2/3*t**x + 4/15 = 0. What is t?
-1, -2/5
Factor m**2 + 114 - 77 + 125 - 27*m.
(m - 18)*(m - 9)
Let r(v) be the third derivative of 0*v**6 + 0*v - 8 + 0*v**3 + 0*v**4 + 1/180*v**5 - v**2 - 1/630*v**7. Factor r(i).
-i**2*(i - 1)*(i + 1)/3
Suppose 2 = w - t, -w - 3*t - 26 + 20 = 0. Let p be w/68 - (-1 + (-1)/(-5)). Factor -p*i**2 + 4/5 - 2/5*i + 2/5*i**3.
2*(i - 2)*(i - 1)*(i + 1)/5
Let w(o) = -268*o**2 + 1327*o - 4075. Let x(k) = -344*k**2 + 1769*k - 5433. Let p(n) = -9*w(n) + 7*x(n). Solve p(s) = 0 for s.
-113, 3
Suppose 4*r + 0*u = 2*u, 2*r - 3*u = -8. Let w = 3106 - 3087. What is d in -6*d**3 - 7*d**3 + w*d**3 + 9*d - 6*d**r - 9*d**3 = 0?
-3, 0, 1
Let r(j) = j. Let p(k) = -11*k**2 - 11*k. Let d(x) = -12*x**2 - 12*x. Let s = 34 - 39. Let v(u) = s*p(u) + 4*d(u). Let w(l) = 18*r(l) - 2*v(l). Factor w(b).
-2*b*(7*b - 2)
Suppose 1392*s**3 - 2516*s + 12*s**5 + 6296*s - 371*s**4 + 763*s**4 - 4792*s**2 - 784 = 0. What is s?
-28, -7, 1/3, 1
Let n(o) be the second derivative of o**7/210 + o**6/150 - 9*o**5/100 + 11*o**4/60 - 2*o**3/15 - 1068*o. Factor n(x).
x*(x - 1)**3*(x + 4)/5
Let o(i) be the second derivative of -4/9*i**3 + 1/30*i**5 + 0*i**2 + 83 + 2*i + 1/45*i**6 - 2/9*i**4. Factor o(p).
2*p*(p - 2)*(p + 1)*(p + 2)/3
Let t = -8515/2 + 25613/6. Factor t*h + 2*h**2 - 4.
2*(h + 6)*(3*h - 1)/3
Let s(r) = 208*r - 12685. Let j be s(61). Factor -2/13*o**j - 8/13*o - 10/13*o**2 + 0.
-2*o*(o + 1)*(o + 4)/13
Suppose 0 = -139*l + 192*l. Let j(h) be the first derivative of 1/5*h**5 + 3/4*h**4 - h**2 - 16 + l*h - 1/6*h**6 - 1/3*h**3. Determine i, given that j(i) = 0.
-1, 0, 1, 2
Determine t so that -t + 0 - 375/2*t**2 = 0.
-2/375, 0
Let b(c) be the second derivative of c**5/30 + c**4/3 - c**3 - 14*c**2/3 - 22*c - 2. Let b(k) = 0. What is k?
-7, -1, 2
Find j such that 2/7*j**2 + 12/7 + 10/7*j = 0.
-3, -2
Let o = -833 + 2501/3. Let x = 104 + -102. Let -x*b - o*b**2 - 4/3 = 0. Calculate b.
-2, -1
Let v(l) = l**3 - l**2 - l + 1. Let k(f) = -f**3 + 2*f**2 + f - 2. Let n(i) = 2*i + 13. Let p be n(-8). Let c(d) = p*v(d) - 2*k(d). Let c(z) = 0. Calculate z.
-1, 1
Let b(w) be the first derivative of -w**3/5 + 1167*w**2/10 - 2322*w/5 + 5614. Factor b(h).
-3*(h - 387)*(h - 2)/5
Let x(m) be the second derivative of 3/4*m**4 + 0 - 19/2*m**3 + 361/8*m**2 + 35*m. Factor x(t).
(6*t - 19)**2/4
Suppose 217*c - 183 = -183. Let y(p) be the first derivative of c*p**