2 - 2*u**q - 4*u.
4*u*(u - 1)
Factor -972/7 + 24/7*q**2 + 54/7*q - 2/7*q**3.
-2*(q - 9)**2*(q + 6)/7
Let c be -10 - ((-15)/(-5))/(-3). Let o be (c/27)/(2/(-12)). Factor 5*g**4 + 3*g**3 - o*g**4 - 4*g**3 - 5*g**3 + 6*g - 3.
3*(g - 1)**3*(g + 1)
Let c(p) be the first derivative of -p**7/1260 - p**6/60 - 3*p**5/20 - 3*p**4/4 - 28*p**3/3 + 113. Let j(k) be the third derivative of c(k). Factor j(f).
-2*(f + 3)**3/3
Let r(a) be the first derivative of -76 + 26/15*a**5 - 1/3*a**6 - 19/6*a**4 - 2/3*a**2 + 0*a + 22/9*a**3. Find l, given that r(l) = 0.
0, 1/3, 1, 2
Factor 1/5*x**3 + 12*x + 0 - 16/5*x**2.
x*(x - 10)*(x - 6)/5
Let s(q) be the first derivative of -q**5/30 - q**4/18 + 10*q**3/9 - 8*q**2/3 - 217*q - 94. Let t(p) be the first derivative of s(p). Solve t(h) = 0 for h.
-4, 1, 2
Suppose 2*v = -2*u - 4, 2*v = -3*v + 3*u + 22. Factor 14*m**2 + 10*m + 8*m**2 - 54*m**v + 18*m**2.
-2*m*(7*m - 5)
Suppose 0 = 199*d - 167*d - 19488. Suppose -35*h + d - 14 = 0. Let 5 - 7/4*t**2 + h*t = 0. Calculate t.
-2/7, 10
Let a(r) = -343*r - 90549. Let q be a(-264). Find j, given that -49/6 + 77/6*j + 2/3*j**q - 16/3*j**2 = 0.
1, 7/2
Let x(d) be the third derivative of -d**6/120 + 19*d**5/60 - 4*d**4 + 24*d**3 + 1521*d**2. Factor x(i).
-(i - 12)*(i - 4)*(i - 3)
Let w(y) = 9*y**4 + 88*y**3 + 17*y**2 - 260*y - 180. Let x(f) = 7*f**4 - f**3 + f**2. Let a(h) = w(h) - 2*x(h). Determine s so that a(s) = 0.
-1, 2, 18
Let k(z) = 3*z**2 - z + 1. Let p be k(0). Let i(x) = -9*x**4 - x**3 - x**2 - x + 3. Let a(l) = -2*l**4 + l**2 - l - 1. Let s(h) = p*i(h) - 5*a(h). Factor s(o).
(o - 2)**2*(o + 1)*(o + 2)
What is n in 0 + 0*n + 0*n**2 + 18/5*n**3 + 3/5*n**4 = 0?
-6, 0
Let h(b) be the first derivative of -16*b + 28*b**2 - 83 - 11/5*b**5 - 73/3*b**3 + 1/6*b**6 + 43/4*b**4. Factor h(p).
(p - 4)**2*(p - 1)**3
Suppose 0 = -100*g + 88*g. Let l(v) be the third derivative of -2/11*v**4 - 15*v**2 + g*v - 3/110*v**5 + 0 - 1/660*v**6 - 16/33*v**3. What is n in l(n) = 0?
-4, -1
Let s(n) = -135*n**2 - 1865*n - 110. Let h(m) = 5*m**2 + 69*m + 4. Let c(o) = -55*h(o) - 2*s(o). Factor c(y).
-5*y*(y + 13)
Suppose -43*t + 35*t = -16. Let m(x) = -18*x + 130. Let p be m(7). Find w such that 27/2*w**3 - 33/2*w**t - 21/4*w**p + 39/4*w + 3/4*w**5 - 9/4 = 0.
1, 3
Let g(d) be the third derivative of -d**5/120 - 13*d**4/8 - 38*d**3/3 - 117*d**2 + 6*d. Factor g(z).
-(z + 2)*(z + 76)/2
Let y(d) = -d**2 - 5*d. Let p be y(-3). Suppose -8*k = -b + 26, 3*b + 19 = -k + 22. Factor -4*j**5 + b*j - 6*j**4 - 5*j + p*j**2 + 7*j**5.
3*j*(j - 1)**3*(j + 1)
Let t = 200 + -195. Suppose g - 12 = 3*x, t*x + 20 = -6*g + 3*g. Factor 2/5*j**4 + 0*j + 2/5*j**5 - 2/5*j**3 - 2/5*j**2 + g.
2*j**2*(j - 1)*(j + 1)**2/5
Let w(r) be the second derivative of r**5/30 - 2*r**4 - 52*r**3/3 + 153*r**2/2 + 51*r + 3. Let k(h) be the first derivative of w(h). Factor k(y).
2*(y - 26)*(y + 2)
Let h be ((-8)/(-14))/((-76)/(-266)). Let m(w) be the first derivative of 0*w + 1/9*w**6 + 0*w**3 + 0*w**h - 7 - 4/15*w**5 + 1/6*w**4. Solve m(b) = 0 for b.
0, 1
Let k(q) be the third derivative of -q**8/1176 + 31*q**7/245 - 199*q**6/30 + 1696*q**5/15 + 7680*q**4/7 + 65536*q**3/21 + q**2 - 6. What is a in k(a) = 0?
-2, -1, 32
Let s(t) be the first derivative of 7/4*t**2 + 9*t + 1/8*t**4 - 5/3*t**3 + 56. Factor s(q).
(q - 9)*(q - 2)*(q + 1)/2
Let b = 118 - 116. Suppose 15*h**4 + 6*h**3 - 6 - 21*h + 6*h**3 - 9*h**b + 6*h**3 + 3*h**3 = 0. What is h?
-1, -2/5, 1
What is q in -3992/9*q + 1992008/9 + 2/9*q**2 = 0?
998
Let z = 2209 + -2201. Let s be 6/z*(-4448)/(-2919). What is f in -6/7*f + 36/7 + 2/7*f**3 - s*f**2 = 0?
-2, 3
Let p = 378 - 2642/7. Suppose -440 + 426 = -f - 4*a, 4*a = 5*f + 2. Find z such that -p + 2/7*z**f + 2/7*z = 0.
-2, 1
Determine r so that -3/7*r**2 - 771/7 + 774/7*r = 0.
1, 257
Suppose 0*m - 2*p + 129 = 5*m, -4*p + 83 = 3*m. Factor 25 - 17*t**2 - m - 70*t + 22*t**2.
5*t*(t - 14)
Suppose 2*n - 2*s - 786 - 514 = 0, -2*n = 4*s - 1288. Factor -3888 - 2/3*z**3 - n*z - 36*z**2.
-2*(z + 18)**3/3
Suppose -532 = -42*p + 4*p. Factor 45*u**4 + 22*u**5 + p*u - 4 - 2*u**5 - 40*u**2 - 1 + 10*u**3 - 44*u.
5*(u - 1)*(u + 1)**3*(4*u + 1)
Factor -73*b**4 - 78*b**4 + 147 - 74*b**4 + 228*b**4 + 156*b**3 + 444*b + 450*b**2.
3*(b + 1)**3*(b + 49)
Suppose -14 = 2*l - 18. Suppose l*k = 5*a + 4*k - 809, 4*a + 4*k = 652. Factor -2*q**2 + 0*q + 2*q**4 - 2*q - 159*q**3 + a*q**3.
2*q*(q - 1)*(q + 1)**2
Let z = 38 + -36. Let d be 3 + 7 + -5 - z. Solve -260*b**3 - 20*b**2 + 5*b**5 - 23*b**4 - 7*b**4 + 305*b**d = 0.
0, 1, 4
Suppose -25*v + 51 = -8*v. Let g(k) = 9*k**2 + 38*k + 44. Let s(m) = 8*m**2 + 36*m + 43. Let y(h) = v*g(h) - 4*s(h). Solve y(f) = 0.
-4, -2
Factor 0 - 13/3*z**4 - 29/3*z**2 - 8/3*z - 34/3*z**3.
-z*(z + 1)**2*(13*z + 8)/3
Let l(o) be the second derivative of 0*o**3 + 0*o**2 + 0 - 3/10*o**5 + 2/105*o**6 - 99*o + 5/21*o**4. Factor l(g).
2*g**2*(g - 10)*(2*g - 1)/7
Let t(v) = -118*v + 365. Let s be t(3). Let x(j) be the second derivative of 5/3*j**3 + 25/12*j**4 - s*j + 0 + 0*j**2 + 3/4*j**5. Suppose x(a) = 0. What is a?
-1, -2/3, 0
Let g be ((-80)/195)/((-36)/4 + 200/24). Solve 0 - g*j + 10/13*j**2 + 2/13*j**5 - 10/13*j**4 + 6/13*j**3 = 0 for j.
-1, 0, 1, 4
Let s(f) be the first derivative of -3*f**4/22 + 62*f**3/11 - 72*f**2/11 - 1080*f/11 - 1457. Factor s(i).
-6*(i - 30)*(i - 3)*(i + 2)/11
Let q(t) be the third derivative of -t**5/12 + 5*t**4/24 + 5*t**3/3 + 1748*t**2. Factor q(l).
-5*(l - 2)*(l + 1)
Let f(j) be the second derivative of -j**5/130 - 401*j**4/13 - 482403*j**3/13 + 9454*j. Factor f(p).
-2*p*(p + 1203)**2/13
Suppose -43*j + 97545 = 97416. Determine g so that j*g**2 + 1/2*g**3 - 15 - 1/2*g = 0.
-5, -3, 2
Let y be (28/(-35))/((-10)/125). Let f be (6/5)/(y + (-95)/10). Let 3/5*c - 3/5*c**3 - f*c**2 + 12/5 = 0. What is c?
-4, -1, 1
Factor -129/4 - 1/4*l**2 - 23/2*l.
-(l + 3)*(l + 43)/4
Let d = -3188 + 3194. Let q(m) be the third derivative of -9*m**2 - 1/15*m**5 - 1/6*m**4 - 1/90*m**d - 2/9*m**3 + 0*m + 0. Factor q(j).
-4*(j + 1)**3/3
Let x = 66 - 52. Let r be 1 - (-158)/x - (-6)/(-21). Let -8*f - 3*f**4 - 8*f**3 - r*f**2 + 3*f**4 - 2 - 2*f**4 = 0. What is f?
-1
Let h be ((-192)/30)/(-8) - 756/945. Factor h - 117/8*o**2 - 3/8*o**4 + 0*o - 6*o**3.
-3*o**2*(o + 3)*(o + 13)/8
Let l be -59 + 52 - 185/(-25). Suppose 12/5 + l*p**2 + 2*p = 0. What is p?
-3, -2
Find n, given that 16/13*n**4 + 2/13*n**5 - 30/13*n - 16/13*n**2 + 28/13*n**3 + 0 = 0.
-5, -3, -1, 0, 1
Let r be (-30)/50 + 594/(-10) + 2. Let c = -50 - r. Factor 4*f**2 + 3*f**4 + 0*f**4 - c*f**3 + f**4.
4*f**2*(f - 1)**2
Let v(q) be the second derivative of -q**5/8 - 95*q**4/3 - 755*q**3/12 - 74*q + 20. Solve v(j) = 0 for j.
-151, -1, 0
Let v(r) be the first derivative of -1/44*r**4 + 1/33*r**3 + 81 + 8/11*r + 5/11*r**2. Solve v(b) = 0.
-2, -1, 4
Let c be 3*(-1 - -5)*176/6. Let a = c + -703/2. Solve -1/2*q**3 + 1/2*q - 1/2*q**2 + 0 + a*q**4 = 0 for q.
-1, 0, 1
Solve 608/7*y - 484/7*y**2 + 164/7*y**4 + 624/7 - 4/7*y**5 - 300/7*y**3 = 0.
-1, 2, 39
Factor -2/11*h**3 + 4/11 + 2/11*h - 4/11*h**2.
-2*(h - 1)*(h + 1)*(h + 2)/11
Let w(k) = 3184*k**2 + 1691760*k + 299442588. Let m(u) = -u**3 + 12735*u**2 + 6767037*u + 1197770355. Let t(y) = 2*m(y) - 9*w(y). Let t(h) = 0. What is h?
-531
Suppose 324*h + 187*h = -278*h + 72588. Factor -665/4*t**3 + 49/4*t**4 + h*t**2 + 0 - 13*t.
t*(t - 13)*(7*t - 2)**2/4
Let l = 11804 + -129842/11. Factor -20/11*p**3 - 80/11*p + 6*p**2 + l*p**4 + 32/11.
2*(p - 4)**2*(p - 1)**2/11
Let m be ((-25)/18)/(5340/(-12816)). Determine q, given that -2/3 + m*q**4 + 25/2*q**2 - 79/6*q**3 + 4/3*q = 0.
-1/4, 1/5, 2
Let j be (-392)/(-44) + -6 + (-35)/(-385). Factor -2/17*g**j + 16/17*g**2 - 26/17*g + 12/17.
-2*(g - 6)*(g - 1)**2/17
Let l = 806468/3 + -268822. Factor l*i**2 + 8/3 + 10/3*i.
2*(i + 1)*(i + 4)/3
Let b(c) be the second derivative of c**6/15 - 72*c**5/5 + 864*c**4 - 341*c. Factor b(z).
2*z**2*(z - 72)**2
Let t(m) be the second derivative of 2 + 24*m + 125/2*m**2 + 100*m**3 + 128/5*m**5 + 80*m**4. Factor t(f).
(8*f + 5)**3
Let r be -4*615/(-410)*(-5)/(-24). Let m(t) be the second derivative of 14*t + 0*t**5 + 0*t**2 + 5/3*t**3 - 1/6*t**6 + 0 + r*t**4. Factor m(c).
-5*c*(c - 2)*(c + 1)**2
Let i(v) be the second derivative of v**6/20 + 6*v**5/5 + 15*v**4/8 + 3125*v. Fa