. Factor n(j).
2*j*(j - 2)*(j + 7)/7
Let q(i) = -82*i + 82. Let t(l) = -l**2 + 2*l - 1. Let c(v) = -4*q(v) + 4*t(v). Factor c(a).
-4*(a - 83)*(a - 1)
Let h(d) = -1141*d**2 - 285*d - 5. Let r = 79 - 86. Let y(p) = 380*p**2 + 96*p + 2. Let a(x) = r*y(x) - 2*h(x). Factor a(j).
-2*(9*j + 2)*(21*j + 1)
Let y(h) be the third derivative of -h**5/90 - 101*h**4/36 + 140*h**3/3 + 61*h**2 + h. Factor y(i).
-2*(i - 4)*(i + 105)/3
Let s(a) be the second derivative of -3/35*a**5 + 0*a**3 + 0*a**2 + 2/105*a**6 + 2/21*a**4 + 15 - 2*a. Determine x, given that s(x) = 0.
0, 1, 2
Let u = -4363/9 + 4393/9. What is q in 4/3*q + 1/6*q**2 - u = 0?
-10, 2
Let y = 1602 - 19217/12. Let c(s) be the third derivative of -6*s**2 + 20/3*s**3 + 0 + 65/12*s**4 + 0*s - y*s**5. Factor c(k).
-5*(k - 4)*(7*k + 2)
Let b be (1368/(-2432))/(4/(-16)*-5 - 2). Find l such that 3/4 - 15/4*l**2 + 9/4*l**3 + b*l = 0.
-1/3, 1
Let k(z) = -z**5 - 61*z**4 - 1351*z**3 - 9810*z**2 - 6051*z + 17310. Let d(n) = n**4 + 2*n**3 - n + 10. Let w(f) = -6*d(f) + 2*k(f). What is i in w(i) = 0?
-24, -15, -2, 1
Let n(s) = -12*s**2 - 10*s - 4. Let b(a) = 11*a**2 + 23*a + 5. Let v(c) = 2*b(c) + 3*n(c). Let v(h) = 0. What is h?
1/7, 1
Let k(a) = 7*a**4 + 13*a**3 + a**2. Let q = 222 + -215. Let o(y) = -10*y**4 - 19*y**3 - 2*y**2. Let u(i) = q*k(i) + 5*o(i). Let u(h) = 0. Calculate h.
-3, -1, 0
Let n be (4*(-3)/18)/((-1)/9). Suppose -2*k = -y - n*k, -68 = -3*y + 5*k. Factor -16*h - 14 - 4*h**2 - y + 14.
-4*(h + 2)**2
Let m = -490765/28 + 70111/4. Find u such that m*u**2 + 0 + 18/7*u = 0.
-6, 0
Factor 18*p + 3/5*p**2 - 192/5.
3*(p - 2)*(p + 32)/5
Let t(x) be the second derivative of -x**6/120 + x**5/16 - 5*x**4/48 - 5*x**3/24 + 3*x**2/4 + 755*x. Solve t(b) = 0.
-1, 1, 2, 3
Let n(a) be the second derivative of 5*a**4/12 + 2015*a**3/3 - 4035*a**2/2 + 1764*a. Let n(p) = 0. Calculate p.
-807, 1
Suppose 0 = 295*g - 303*g - 48. Let y be (-3 + 3)/(g + 5). Find z, given that y*z**2 + 0*z - 2/9*z**5 + 0 - 2/3*z**4 - 4/9*z**3 = 0.
-2, -1, 0
Suppose 216 = 27*l - 27. Factor -6*n**2 + l - 130*n**3 + 257*n**3 - 3*n**4 + 12*n - 139*n**3.
-3*(n - 1)*(n + 1)**2*(n + 3)
Let y(z) be the third derivative of -z**6/240 + z**5/20 + 67*z**4/48 + 5*z**3 - 1937*z**2. Factor y(f).
-(f - 12)*(f + 1)*(f + 5)/2
Let o be (40/(-168) + 12/(-126))/((-2)/18). Solve 14/9*y**o + 0 + 2/3*y**2 + 2/9*y**5 + 10/9*y**4 + 0*y = 0 for y.
-3, -1, 0
Let z(b) be the first derivative of -b**3/3 + 35*b**2 - 69*b + 1426. Determine j so that z(j) = 0.
1, 69
Let d(q) = -74*q**2 - 522*q - 26. Let s be d(-7). Let w(y) be the first derivative of -31 + 11/4*y**s - 1/3*y**3 - 5/2*y. What is o in w(o) = 0?
1/2, 5
Let x(c) be the third derivative of 16*c**2 + 1/330*c**5 - 1/22*c**4 + 0*c + 8/33*c**3 + 0. Let x(w) = 0. What is w?
2, 4
Let s(x) be the first derivative of x**4/8 + 57*x**3/4 + 125*x**2/4 - 42*x - 1152. Factor s(d).
(d + 2)*(d + 84)*(2*d - 1)/4
Let h = 123316/5 - 24662. Let r be ((-6)/50)/(7/(-105)). Solve -h + 3/5*a**3 + r*a**2 - 3/5*a - 3/5*a**4 = 0 for a.
-1, 1, 2
Let z = 831 - 658. Let c = z - 863/5. Factor 1/5*a**2 + 0 - c*a**3 + 0*a + 1/5*a**4.
a**2*(a - 1)**2/5
Let n be (-3)/10 - 7612/(-40). Let d be 114/n - (-29)/35. Determine j so that d*j - 4/7 + 8/7*j**3 + 22/7*j**2 = 0.
-2, -1, 1/4
Let d(v) be the first derivative of 2/21*v**3 + 1/28*v**4 - 7 - 1/2*v**2 + 4/7*v. Suppose d(u) = 0. Calculate u.
-4, 1
Let s be (-6 - -8)*(27/(-63) + (-54)/(-28)). Let p(m) be the first derivative of 4 + 0*m**4 - 1/9*m - 1/45*m**5 + 0*m**2 + 2/27*m**s. Factor p(q).
-(q - 1)**2*(q + 1)**2/9
Let p(o) = 10*o**4 + 38*o**3 - 22*o**2 + 11*o - 22. Let r(c) = -2*c**4 - 8*c**3 + 4*c**2 - 2*c + 4. Let h(f) = -4*p(f) - 22*r(f). Suppose h(d) = 0. What is d?
-6, 0
Suppose 48*a = 64*a - 48. Let j(o) be the second derivative of 1/2*o**3 - 3/20*o**5 + 0 - 1/2*o**4 + a*o**2 + 5*o. Factor j(h).
-3*(h - 1)*(h + 1)*(h + 2)
Let w be 15 - (-1 - -9 - 4). Let t = 15 - w. Factor 23*i**4 + 6*i - 2*i**t - 6*i**3 - 5*i**2 - 15*i**2 - i**2.
3*i*(i - 1)*(i + 1)*(7*i - 2)
Let y(b) be the first derivative of -b**6/33 + b**4/2 + 4*b**3/11 - 28*b**2/11 - 48*b/11 - 260. Let y(m) = 0. What is m?
-2, -1, 2, 3
Let k(u) be the second derivative of -u**5/180 - 5*u**4/4 - 225*u**3/2 - 39*u**2/2 + 2*u - 116. Let w(m) be the first derivative of k(m). Solve w(a) = 0.
-45
Let s(z) be the third derivative of -z - 2*z**3 + 0 + 1/20*z**5 - 1/2*z**4 - 28*z**2 + 1/40*z**6. Determine r so that s(r) = 0.
-2, -1, 2
Suppose s = 2*c + 1249 - 1264, 2*s + 4*c = 42. Factor -2/9*l**s + 2/9*l**2 + 4/9*l + 0.
-2*l*(l - 2)*(l + 1)/9
Suppose 11*m - 25 = -14*m. Let d be 4/(-22) + m/(231/174). Factor -d + 2/7*w + 10/7*w**3 + 16/7*w**2.
2*(w + 1)**2*(5*w - 2)/7
Let k(t) be the third derivative of t**6/120 + 5*t**5/72 - t**4/48 - 7*t**3/9 + 4378*t**2. Factor k(c).
(c - 1)*(c + 4)*(6*c + 7)/6
Let n(d) = -21*d - 14*d + 19 - d**3 - 4*d + 29*d**2. Let b(h) = h**3 + h**2 - h + 1. Let y be ((-3)/12)/(1/(-4)). Let x(j) = y*n(j) - 4*b(j). Factor x(t).
-5*(t - 3)*(t - 1)**2
Let j(v) be the first derivative of -5*v**6/4 + 27*v**5/5 + 1149*v**4/8 - 320*v**3 + 63*v**2 + 240*v + 692. Find h, given that j(h) = 0.
-8, -2/5, 1, 10
Factor -1629/5*r - 972 - 3/5*r**2.
-3*(r + 3)*(r + 540)/5
Let s be (-14348)/(-2743) + 1 + 144/(-117). Factor -1/2*z**2 + 11/2 - s*z.
-(z - 1)*(z + 11)/2
Let a(i) = -13*i**2 + 935*i + 18. Let r(y) = -15*y**2 + 930*y + 20. Let o(c) = -10*a(c) + 9*r(c). Suppose o(v) = 0. Calculate v.
-196, 0
Let b(j) = 61*j + 9946. Let q be b(-163). Let r(h) be the first derivative of -12*h**2 + 7 + 3*h**q - 1/4*h**4 + 16*h. Let r(y) = 0. What is y?
1, 4
Suppose -2*g + 3*j = 7, 5*j - 3*j = -g + 14. Suppose 3 = -3*y - 3*d, g*y - d - 37 + 16 = 0. Find o such that y*o + 6*o + 0*o - 2*o - 52*o**2 = 0.
0, 2/13
Let v(k) = -k**3 + 4*k - 7*k**2 + 4*k**2 - 5*k. Let n(a) = 4*a**3 + 6*a**2 + 6*a - 1. Let y(j) = -5*n(j) - 15*v(j). Factor y(h).
-5*(h - 1)**3
Let r be 12/((-24)/10)*(-12 - 174/(-15)). Factor 6/7 - 4/7*u - 2/7*u**r.
-2*(u - 1)*(u + 3)/7
Let j(d) be the second derivative of -d**7/14 + 43*d**6/10 - 483*d**5/20 + 197*d**4/4 - 39*d**3 + 11062*d. Solve j(z) = 0.
0, 1, 2, 39
Let o(j) be the first derivative of -j**4/2 + 104*j**3/3 - 49*j**2 - 204*j - 10408. Let o(u) = 0. Calculate u.
-1, 2, 51
Let f(i) be the second derivative of -i**5/30 + 17*i**4/12 - 14*i**3 - 199*i**2/2 - 96*i. Let r(d) be the first derivative of f(d). Factor r(m).
-2*(m - 14)*(m - 3)
Let a(u) be the second derivative of 0*u**6 + 0 + 4/33*u**3 + 0*u**2 - 41*u - 1/22*u**5 + 0*u**4 + 1/231*u**7. Let a(l) = 0. Calculate l.
-2, -1, 0, 1, 2
Let z(d) = 7841*d**3 + 13450*d**2 - 4348*d - 44. Let c(b) = -7850*b**3 - 13450*b**2 + 4350*b + 45. Let i(g) = -4*c(g) - 5*z(g). Solve i(x) = 0.
-2, -2/223, 2/7
Factor 1657825 - 283738 - 553*z + 2666013 + 4*z**2 - 7487*z.
4*(z - 1005)**2
Determine b, given that -26*b + 4/9*b**2 - 1408/9 = 0.
-11/2, 64
Let p(k) be the second derivative of -k**6/720 - k**5/240 + k**4/24 - k**3/6 - 5*k**2/2 - k - 83. Let g(b) be the second derivative of p(b). Factor g(w).
-(w - 1)*(w + 2)/2
Let t be 153/(-6) + 10/(-20). Let g be ((-2)/(-18))/(t/(-260)). Factor -2/9*m - 16/9*m**2 + 4/9 - g*m**3.
-2*(m + 1)**2*(5*m - 2)/9
Suppose 76/7*c**3 - 2/7*c**4 - 214/7*c**2 + 20*c + 0 = 0. Calculate c.
0, 1, 2, 35
Factor 3/8*c**3 - 21/4*c**2 - 45/4 + 129/8*c.
3*(c - 10)*(c - 3)*(c - 1)/8
Let y(a) be the third derivative of a**6/120 - a**4/24 - a**3/6 + 22*a**2. Let o(l) = l**3 - 4 - 4*l**2 + 2*l + l + 7. Let z(h) = -o(h) - 3*y(h). Factor z(g).
-4*g**2*(g - 1)
Let g(a) be the first derivative of 1/24*a**4 - 1/3*a**2 + 0*a - 1/30*a**5 + 2/9*a**3 + 13. Find o such that g(o) = 0.
-2, 0, 1, 2
Let f(d) = -9*d**2 - 92*d + 6. Let s be f(-9). Let x be (-4)/(-138)*s - 2. Find g, given that -6/23*g**4 - 8/23 + x*g - 16/23*g**3 + 6/23*g**2 = 0.
-2, 1/3, 1
Let m(h) be the second derivative of h**6/90 + h**5/12 - h**4/2 - 64*h**3/9 - 80*h**2/3 - 6*h + 321. Factor m(a).
(a - 5)*(a + 2)*(a + 4)**2/3
Let v = -2/409443 + 136483/409443. What is d in v*d**2 + 4/3 + 5/3*d = 0?
-4, -1
Factor 20/3 + 184/3*x + 73/3*x**3 + 67*x**2 + 8/3*x**4.
(x + 2)**2*(x + 5)*(8*x + 1)/3
Suppose -4917*m - 20 = -4918*m + 2*c, -5*m + 52 = -4*c. Suppose -28/5*n + 14/5*n**m + 26/5*n**3 - 16/5 + 2/5*n**2 + 2/5*n**5 = 0.