(-42). Factor -2*b**2 - 8*b**3 + 3*b**2 - 4 + 12*b**o + 3*b**2 - 4*b.
4*(b - 1)*(b + 1)**2
Let s(j) = 11*j**2 + 350*j - 29933. Let w(u) = -41*u**2 - 1399*u + 119731. Let a(z) = -15*s(z) - 4*w(z). Factor a(m).
-(m - 173)**2
Let n be (-27)/((-972)/153) - (-7 + 10). What is i in 0 + n*i**2 - 1/2*i - i**3 + 1/4*i**4 = 0?
0, 1, 2
Let f(i) be the first derivative of -i**4/32 + 11*i**3/24 - 9*i**2/8 + 873. Solve f(n) = 0.
0, 2, 9
Suppose 19*y - 77 = 37. Let 30 - 24*j**3 - 8*j**4 + 52*j - y + 3493*j**5 - j**2 - 3489*j**5 + 8*j**2 + 9*j**2 = 0. Calculate j.
-1, 2, 3
Suppose 0 = -5*p - 4 + 9. Let c = -154 - -156. Determine q so that 2 - p + 10*q + 4*q**2 - c*q + 3 = 0.
-1
Let o(l) be the first derivative of -l**3/12 + 66*l**2 - 17424*l - 1449. Factor o(h).
-(h - 264)**2/4
Let m be ((-1)/(-4))/((-7)/(-140)) - -1. Let y be ((-12)/8)/(2*m/(-32)). Factor 5*d**4 - 4*d**y - 6*d**3 - 12*d**2 + 21*d**2.
d**2*(d - 3)**2
Let m(r) be the third derivative of -3/70*r**6 + 0*r**3 + 0 + 3/14*r**4 - 40*r + 1/294*r**7 - r**2 - 1/84*r**5. Determine f, given that m(f) = 0.
-1, 0, 1, 36/5
Let s(w) = -w**3 + 3*w**2 + 5*w - 2. Let k = -42 - -46. Let g be s(k). Factor -g*y**2 - y + 3*y**2 - y + 0 + 1.
(y - 1)**2
Let u be 15*1*6/(-18). Let b = 11 + u. Factor -v**4 + 15*v**2 - 10*v**3 + 4*v**4 - b*v**4 - 2*v**4.
-5*v**2*(v - 1)*(v + 3)
Let r(d) be the second derivative of -d**7/231 + 6*d**6/55 - 7*d**5/55 - 26*d**4/33 + 5*d**3/11 + 34*d**2/11 - 662*d. Find y, given that r(y) = 0.
-1, 1, 2, 17
Let b = 107868 - 539338/5. Solve -6/5*z + b*z**5 + 0 + 4/5*z**3 + 8/5*z**4 - 8/5*z**2 = 0.
-3, -1, 0, 1
Suppose 273*k = 618*k - 210*k - 234*k + 297. Factor 18/5 - 18/5*t**2 - k*t**3 + 3*t.
-3*(t - 1)*(t + 1)*(5*t + 6)/5
Let v(o) = o**3 - 18*o**2 - o + 22. Let i be v(18). Suppose -i*x + 10 = 3*t, 5*t - x - 2*x = 7. Solve -8/5*r - 28/5*r**3 - 36/5*r**t + 0 = 0.
-1, -2/7, 0
Let n(r) be the third derivative of -r**5/80 - 1911*r**4/16 - 3651921*r**3/8 + 3026*r**2. Factor n(k).
-3*(k + 1911)**2/4
Let y be 36/(-8*21/(-224)). Suppose -14*j - y*j = -18*j. Let -1/10*v**5 + 0*v**2 + j - 3/10*v**4 - 1/5*v**3 + 0*v = 0. What is v?
-2, -1, 0
Let i(y) be the third derivative of 0*y - 1/32*y**4 + 5/8*y**3 - 1/20*y**5 - 3*y**2 + 7. Factor i(l).
-3*(l - 1)*(4*l + 5)/4
Suppose 0 = -3*z + s + 5 - 3, -3*s + 2 = -5*z. Factor -5*d**z + 136 + 144 + 20*d - 295.
-5*(d - 3)*(d - 1)
Let v(s) be the first derivative of s**2/2 - 3*s - 381. Let b be v(6). Find m, given that 3/7*m**5 + 6/7 + 6/7*m**4 + 3/7*m - 12/7*m**2 - 6/7*m**b = 0.
-2, -1, 1
Let u(n) be the third derivative of -1/896*n**8 + 1/160*n**6 - 1 - 1/64*n**4 + 1/280*n**7 - 1/40*n**5 + 1/8*n**3 + 0*n + 12*n**2. Let u(h) = 0. What is h?
-1, 1, 2
Suppose y - 4*h - 743 = 0, 5*y - 4*h - 3032 = y. Find r such that -46 + 45*r + 758*r**2 - y*r**2 - 24 = 0.
2, 7
Let f(s) be the first derivative of 5*s**6/6 - 9*s**5 - 105*s**4/4 - 55*s**3/3 + 1278. Factor f(u).
5*u**2*(u - 11)*(u + 1)**2
Let y(i) be the first derivative of -i**6/18 + 338*i**5/15 - 9407*i**4/4 - 57460*i**3/9 - 14450*i**2/3 - 6772. Factor y(t).
-t*(t - 170)**2*(t + 1)**2/3
Let q = -663561/4 - -165891. Factor 0 - 21/4*o**2 - q*o**4 - 6*o**3 + 0*o.
-3*o**2*(o + 1)*(o + 7)/4
Let f(g) = -109*g + 46. Let a be f(-4). Suppose 462 = -10*v + a. Find w such that 74/5*w**v - 8*w + 8/5 - 12*w**3 + 18/5*w**4 = 0.
2/3, 1
Let h = -73 - -519/7. Let l(z) = z**3 + 19*z**2 - z - 16. Let u be l(-19). Factor -4/7*f + 0 - h*f**u - 10/7*f**2 - 2/7*f**4.
-2*f*(f + 1)**2*(f + 2)/7
Let s(h) be the second derivative of -h**8/5376 + h**7/252 + h**6/64 - 3*h**4 + 22*h. Let f(l) be the third derivative of s(l). Solve f(q) = 0.
-1, 0, 9
Let o = 2/2259 - -4496/24849. Factor -4/11*r**3 - 10/11*r**2 + 12/11*r + 0 + o*r**4.
2*r*(r - 3)*(r - 1)*(r + 2)/11
Let x = -14708 - -102980/7. Let i(y) be the second derivative of -x*y**2 + 26/21*y**3 + 0 - 14*y - 1/21*y**4. Factor i(r).
-4*(r - 12)*(r - 1)/7
Factor -1/4*p**4 + 13*p + 5*p**3 - 17/4 - 27/2*p**2.
-(p - 17)*(p - 1)**3/4
Let w = 547 - 543. Let l be -1 + 2/w - (-29898)/2772. Factor 2/7*m**2 + l - 24/7*m.
2*(m - 6)**2/7
Let o(d) be the first derivative of -d**4/4 - 35*d**3/3 + d**2/2 + 35*d + 1273. Solve o(y) = 0.
-35, -1, 1
Let o(h) be the third derivative of -85184/51*h**3 + 484/17*h**4 - 22/85*h**5 - 4 - 6*h**2 + 1/1020*h**6 + 0*h. What is n in o(n) = 0?
44
Let g(m) be the third derivative of -1/30*m**7 - 8/3*m**3 - 1/3*m**4 - 71*m**2 + 7/120*m**6 + 23/60*m**5 + 1/336*m**8 + 0*m + 0. Factor g(d).
(d - 4)**2*(d - 1)*(d + 1)**2
Let j(r) = 955*r**2 + 40*r + 1. Let m be j(1). Let s = m + -2987/3. Suppose 1/12*a**4 - 1/3*a + 1/2*a**2 + 1/12 - s*a**3 = 0. What is a?
1
Let o = 8912 + -8909. Let u be (4/12)/(2/24). Find x, given that 0*x**2 + 0 + 0*x**o + 0*x + 2/3*x**u + 2/3*x**5 = 0.
-1, 0
Suppose 0 = 2*j + 100*i - 104*i - 18, -i + 6 = 3*j. Suppose 0*u + u = 7*u. Factor 8/5*l + u - 4/5*l**j + 4/5*l**2.
-4*l*(l - 2)*(l + 1)/5
Factor 39/5*b + 56/5 + 4/5*b**2.
(b + 8)*(4*b + 7)/5
Let l be (-19)/((-57)/18) + -4. Determine i, given that -33*i - 28*i**3 - 3*i - 47*i**2 - 13*i**l - 4*i**4 - 16 - 16*i = 0.
-4, -1
Let c(o) be the second derivative of -o**4/12 - 23*o**3 - 268*o**2 + 28*o - 72. Determine d so that c(d) = 0.
-134, -4
Factor 723*f**2 - 192*f + 725*f**2 + 3*f**3 - 2167*f**2 + 725*f**2 - 384.
3*(f - 8)*(f + 2)*(f + 8)
Let v be 3/72*1*420/126. Let i(q) be the second derivative of 0 + 1/2*q**3 - 28*q - 1/3*q**2 + v*q**4. Find d such that i(d) = 0.
-2, 1/5
Factor 488/3*h - 1936/3 - 1/3*h**2.
-(h - 484)*(h - 4)/3
Let y(u) be the second derivative of -u**7/2520 + 7*u**6/1080 - 11*u**3/3 + 212*u. Let h(w) be the second derivative of y(w). Factor h(n).
-n**2*(n - 7)/3
Let q be ((-3)/(-2))/((-588)/60 - -11). What is k in -13/4*k - q*k**4 + 3/8*k**2 + 41/8*k**3 - 1 = 0?
-1/2, -2/5, 1, 4
Let r(k) be the second derivative of -k**4/6 - 304*k**3/3 - 303*k**2 - 58*k - 5. Solve r(v) = 0 for v.
-303, -1
Factor -22600/9*s**2 - 1250/9*s**3 - 4 - 1802/9*s.
-2*(s + 18)*(25*s + 1)**2/9
Factor 112*z + 591*z**4 + 115*z**2 - 35*z**2 + 177*z**3 - 208*z**3 - 590*z**4.
z*(z - 28)*(z - 4)*(z + 1)
Let j be (6/16)/((-2925)/(-21450)). Let -j*y + 1/4*y**2 + 0 = 0. Calculate y.
0, 11
Suppose -9*h = 30*h. Let v(w) be the third derivative of 0*w + 0 - 1/135*w**5 + 0*w**4 + h*w**3 + 1/1080*w**6 - 4*w**2. What is o in v(o) = 0?
0, 4
Let p(x) be the first derivative of 1/20*x**5 - 15/2*x**2 + 0*x - 1/2*x**3 - 9 + 0*x**4. Let w(j) be the second derivative of p(j). Factor w(h).
3*(h - 1)*(h + 1)
Let o(f) be the second derivative of 2*f + 5/12*f**4 - 45*f**2 - 85/6*f**3 + 2. Factor o(w).
5*(w - 18)*(w + 1)
Suppose 13*g - 2 = -5*c + 12*g, 2*c - g = -2. Suppose r = c, -2*u + 5*r = -2 - 8. Factor h**4 + 0*h - h**2 + 1/3*h**u - 1/3*h**3 + 0.
h**2*(h - 1)*(h + 1)*(h + 3)/3
Let m = 54631 - 54621. Solve 0 - 65/2*j**4 + 65/2*j**2 + m*j**5 - 5/2*j**3 - 15/2*j = 0.
-1, 0, 1/4, 1, 3
Let m be (-182)/14*8/(-52). Factor -893*l**2 - 10*l - m*l**3 + 910*l**2 + l**4 - 8*l**3 + 2*l.
l*(l - 8)*(l - 1)**2
Let n(w) be the third derivative of w**6/120 - 283*w**5/60 + 35*w**4/3 + 94*w**3 - 6212*w**2. Factor n(j).
(j - 282)*(j - 2)*(j + 1)
Suppose -4*j = -x - 18, -23 + 53 = 5*x + 4*j. Suppose 4 = -x*r - b + 9, -r + 4*b = 2. Factor -1/7*z**3 + 0 + 1/7*z**r + 2/7*z.
-z*(z - 2)*(z + 1)/7
Let r(f) = 2*f**2 - 3*f + 1. Let s be r(2). Let w be 75/25*(-100)/(-225). Solve 0*v + 0 - w*v**2 - 4/3*v**4 - 8/3*v**s = 0.
-1, 0
Let t(r) = 2*r**2 + 6*r - 1. Let u(i) = -9*i**2 - 2862*i - 2838. Let o(s) = -3*t(s) - u(s). Let o(f) = 0. What is f?
-947, -1
Let x(i) = -12*i**3 + 75*i**2 + 363*i + 465. Let s(t) = -t**3 - t**2 - 2*t + 1. Let g(c) = 15*s(c) - x(c). Let g(o) = 0. Calculate o.
-25, -3, -2
Let l = -1674003/65 + 25755. Let c = -4/13 + l. Solve -36/5*d + 24/5*d**2 + 0 - c*d**3 = 0 for d.
0, 3
Suppose -3*a - 5*q = -26, 0*a - 3*q = 4*a - 20. Let s be 200/52 - a/(-13)*1. Factor -15 + 4*r + 36 - 37 + 12*r - s*r**2.
-4*(r - 2)**2
Let r(s) = -4*s**2 + 7*s - 3. Let w(i) = i**2 - 1. Let p(d) = 12*d + 31. Let l be p(6). Suppose -101*g + l*g + 2 = 0. Let a(b) = g*r(b) - 3*w(b). Factor a(x).
(x - 6)*(x - 1)
Let y(d) be the first derivative of -20*d**5 + 5*d**3 - 5*d**3 + 6*d**6 + 3916*d**4 - 94 - 3922*d**4. Suppose y(j) = 0. What is j?
-2/9, 0, 3
Let f be (-23 + 48081/2079