y so that u + 1/3*y**2 + 0*y + 1/6*y**5 + 0*y**4 - 1/2*y**3 = 0.
-2, 0, 1
Let y(k) be the third derivative of k**7/840 - k**6/96 + k**5/80 + 5*k**4/96 - k**3/6 - 72*k**2. Solve y(g) = 0.
-1, 1, 4
Let u(k) be the third derivative of 2*k**7/945 - k**6/90 + k**5/45 - k**4/54 - 14*k**2 + 1. Factor u(n).
4*n*(n - 1)**3/9
Let b(a) = -a**2 - 13*a + 4. Let h be 1/(-2 + 100/52). Let d be b(h). Factor 2*q + 2*q**2 - 3*q**d + q**2 + 4*q**4 - 6*q**2.
q*(q - 1)**2*(q + 2)
Find r such that 0 - 3/2*r**2 - 1/4*r**3 - 5/4*r = 0.
-5, -1, 0
Let f be 0 - (1 + (-4)/2). Let x be 1/f*(3 - -2). Solve -5*z**2 + 3*z + x*z**2 - 3*z**2 = 0.
0, 1
Let g(a) be the third derivative of a**8/168 - 2*a**7/35 - 17*a**6/30 - 28*a**5/15 - 13*a**4/4 - 10*a**3/3 - 4*a**2 + 25*a. Factor g(p).
2*(p - 10)*(p + 1)**4
Let k(a) = a**3 + a. Let j(i) = 5*i**3 + 4*i**2 + 8*i. Let b(p) = p - 9. Let s be b(10). Let h(o) = s*j(o) - 4*k(o). Factor h(r).
r*(r + 2)**2
Let q(w) be the first derivative of w**4/30 - 14*w**3/45 - w**2/15 + 14*w/15 - 111. Determine u, given that q(u) = 0.
-1, 1, 7
Let l(o) be the first derivative of -15/7*o**4 - 9/35*o**5 - 48/7*o**3 + 4 - 72/7*o**2 - 48/7*o. Factor l(u).
-3*(u + 2)**3*(3*u + 2)/7
Let -8*i**5 + 13*i**5 - 12*i**4 - 9*i**5 = 0. Calculate i.
-3, 0
Suppose -4*y = -23*n + 27*n - 52, 2*y + 3*n = 25. Suppose -4*b + 4*p = -6 + y, 2*p - 8 = 0. Factor 0 - 1/4*w**3 + 0*w - 3/4*w**b.
-w**2*(w + 3)/4
Let k be (144/42 + -4)/((-672)/784). Factor -f - k - 1/3*f**2.
-(f + 1)*(f + 2)/3
Let q(t) = 4*t**2 - t + 1. Let k be q(1). Factor 3*p**3 - 3*p + 10*p + 3*p**2 + p**k + p - 7*p.
p*(p + 1)**3
Let p(x) be the third derivative of x**5/20 - 7*x**4/4 + 12*x**3 - 4*x**2 - 13*x. Factor p(q).
3*(q - 12)*(q - 2)
Let m(s) = 26*s + 6. Let a be m(-1). Let y be 3 - a/(-5) - 23/(-9). What is z in -40/9*z - y*z**3 + 46/9*z**2 + 8/9 = 0?
2/7, 1, 2
Let d = -67/2 + 205/6. Let r(o) be the second derivative of d*o**2 + 1/3*o**3 + 0*o**4 - 1/30*o**5 - 2*o + 0. Factor r(q).
-2*(q - 2)*(q + 1)**2/3
Let n = 2031 - 22327/11. Suppose -18/11*r**4 + 4/11 + 18/11*r + n*r**2 - 18/11*r**3 = 0. Calculate r.
-1, -2/3, -1/3, 1
Factor 7*s**2 - 20*s**3 + 44*s**3 + 4*s - 22*s**3 - s**4.
-s*(s - 4)*(s + 1)**2
Let i be (50/4 - -1)*-2. Let x = i + 29. Factor 0 + 1/2*u**x + u - 1/2*u**3.
-u*(u - 2)*(u + 1)/2
Let f(h) = -h**3 - 6*h**2 - 5*h + 6. Let u be f(-5). Suppose -w = 5*x - u, 2*x + 3*w = 6*w + 16. What is k in -10*k + 26*k**x - 36*k**2 + 25*k**2 = 0?
0, 2/3
Factor -205*d**2 + 153*d**2 + 15*d**3 + 17*d**3.
4*d**2*(8*d - 13)
Let j = -319/28 + 1651/140. Factor 0*b**4 + 0*b**2 + 0*b**3 + 0*b + 0 + j*b**5.
2*b**5/5
Let x = 20 - 15. Let t(a) be the third derivative of -1/90*a**4 + 0 + 0*a**3 + 1/100*a**6 + 5*a**2 + 0*a + 7/450*a**x. Factor t(q).
2*q*(q + 1)*(9*q - 2)/15
Let c(x) = -10*x**2 - 3*x + 13. Let d(h) = -3*h**2 - h + 4. Let q be 12/(-8)*(-12)/(-9). Let l(v) = q*c(v) + 7*d(v). Factor l(w).
-(w - 1)*(w + 2)
Suppose -u = -12*u + 55. Let c be (5/15)/(1/6). Factor -2*l**2 - 2*l**3 + 6*l - u*l**2 - l**c - 14*l.
-2*l*(l + 2)**2
Let l = -4536 + 4538. Let 2*k**3 - 2/3*k**4 + 4/3*k + 0 + 10/3*k**l - 2/3*k**5 = 0. What is k?
-1, 0, 2
Let b(h) be the third derivative of h**6/270 + 7*h**5/90 + 7*h**4/18 + 16*h**3/27 + 81*h**2. Let b(f) = 0. Calculate f.
-8, -2, -1/2
Suppose 4*k - 12*k + 24 = 0. Solve -90*h**5 - 35*h**k - 6*h**4 + 12*h**2 + 89*h**5 + 36*h - 6*h**4 = 0.
-6, -1, 0, 1
Suppose -3*z**2 + 6*z - 12/7*z**3 - 9/7 = 0. What is z?
-3, 1/4, 1
Let q(k) be the second derivative of k**4/15 - 88*k**3/15 - 18*k**2 - 157*k - 1. What is z in q(z) = 0?
-1, 45
Solve 441/2 - 5/4*l**3 - 2121/4*l - 52*l**2 = 0.
-21, 2/5
Let r be (-2 + (2 - 1))/((4 - -41)/(-135)). Determine u so that 6/11*u**4 + 2/11*u**5 + 0*u + 2/11*u**2 + 0 + 6/11*u**r = 0.
-1, 0
Let v = 53 + -48. Let 85*j**4 - j**v + 33*j**3 - 3*j**3 + 26*j**5 + 39*j**2 - 40*j - 139*j**2 = 0. Calculate j.
-2, -2/5, 0, 1
Let y(w) be the first derivative of 0*w**5 - 1/56*w**4 + 6 + 0*w**2 - 7/3*w**3 + 1/840*w**6 + 0*w. Let m(f) be the third derivative of y(f). Factor m(l).
3*(l - 1)*(l + 1)/7
Factor -172*y**2 - 14792*y - 1272112/3 - 2/3*y**3.
-2*(y + 86)**3/3
Let v(z) be the third derivative of z**7/11340 + z**6/3240 + 5*z**4/12 + 7*z**2. Let i(p) be the second derivative of v(p). Solve i(g) = 0.
-1, 0
Let m = -64 - -67. Determine p so that 0*p**2 - 5 + m*p**2 + 17 - 36*p + 96 = 0.
6
Let w(q) = -2*q**3 + q**2 - q - 1. Let l be 1/2*(-5 + 3). Let j be w(l). Determine x so that -1 + 2 - 6*x + j*x**2 + 3 - 1 = 0.
1
Suppose 3*z + 2*z - 10 = 0. Suppose 5*k + h = 8, 5*k = -h + 5*h + 18. Factor -2 + 5*b - k*b - z*b + b**2.
(b - 1)*(b + 2)
Let s be 12/(-14)*526/4. Let w = 113 + s. Factor -8/7*t**5 + 0 + 18/7*t**3 + w*t + 11/7*t**2 + 4/7*t**4.
-t*(t - 2)*(2*t + 1)**3/7
Suppose 2*d = 14*d - 60. Let h(l) be the first derivative of -d + 25/4*l**4 - 8*l - 10*l**3 - 18*l**2. Factor h(u).
(u - 2)*(5*u + 2)**2
Let g(x) be the first derivative of -38 + 5/4*x**4 + 30*x + 5/2*x**2 - 20/3*x**3. What is y in g(y) = 0?
-1, 2, 3
Suppose 87 = 18*q - 3. Suppose 3*a = a - c + q, 3*c = -5*a + 11. Factor 6/5*l**3 - 4/5*l**2 + 0 - 2/5*l**a + 0*l.
-2*l**2*(l - 2)*(l - 1)/5
Let d be (-63 + -23)/(0 - 1). Let w = d + -169/2. Factor 1/2*x**3 - 1/2 + 3/2*x - w*x**2.
(x - 1)**3/2
Let a(l) be the first derivative of -16 + l + 1/6*l**2 - 1/3*l**3 - 1/12*l**4. Factor a(v).
-(v - 1)*(v + 1)*(v + 3)/3
Let o = -147 + 179. Let a be -2 + 5 - 4/(o/22). Let -8 + a*y**5 - 20*y**2 + 20*y - 5/2*y**4 + 10*y**3 = 0. What is y?
2
Find w such that -16928/3*w - 2/9*w**3 - 184/3*w**2 - 1557376/9 = 0.
-92
Let g(a) be the first derivative of -2*a**3/21 + 18*a**2/7 - 34*a/7 + 73. Factor g(q).
-2*(q - 17)*(q - 1)/7
Suppose 376/5*w**3 + 32/5*w + 0 + 40*w**2 + 42/5*w**5 + 50*w**4 = 0. Calculate w.
-4, -1, -2/3, -2/7, 0
Let y(v) be the third derivative of -1/240*v**5 + 0*v**6 + 0*v**4 + 0*v**3 + 1/840*v**7 + 6*v**2 + 0 + 0*v. Factor y(a).
a**2*(a - 1)*(a + 1)/4
Let c(d) be the third derivative of d**6/1080 - 7*d**5/360 + d**4/12 + 31*d**3/6 - 11*d**2. Let p(z) be the first derivative of c(z). Factor p(i).
(i - 6)*(i - 1)/3
Let l = 71 + -65. Let d(i) be the first derivative of 0*i**4 + 8 - 2/15*i**5 + 0*i**3 + 4/9*i**l + 0*i**2 + 0*i. Factor d(w).
2*w**4*(4*w - 1)/3
Let a(r) = -r**3 - 93*r**2 - 338*r + 1606. Let j be a(-89). Find q such that j - 10/3*q + 2/3*q**2 = 0.
2, 3
Factor 2843*k**3 + 5*k**4 - 5665*k**3 - 30 - 9*k**2 + 2857*k**3 - 35*k + 34*k**2.
5*(k - 1)*(k + 1)**2*(k + 6)
Let c be 28/(-3)*54/90*10. Let r be ((-140)/c)/(5/4). Solve 2/13*s**3 + 0 + 0*s + 0*s**r = 0.
0
Suppose g = 2*g - 148. Factor -3*n + n**2 + 145 - 2*n + 3*n - g.
(n - 3)*(n + 1)
Solve 1/6*b**3 + 14/3*b**2 + 9/2*b + 0 = 0 for b.
-27, -1, 0
Let m = -13 - -17. Factor -131*l**m + 273*l**4 - 136*l**4 - 9*l**5.
-3*l**4*(3*l - 2)
Let i(f) be the third derivative of -f**5/60 - f**4/6 + 7*f**3/2 - 38*f**2. Let i(w) = 0. What is w?
-7, 3
Suppose -p = 4 - 2. Let f be p/3*(-18)/4. Solve -f*z**3 - 4*z**2 + 0*z**3 - 3*z**3 - 2*z + 4*z**3 = 0.
-1, 0
Let m(n) be the third derivative of 2*n**5/5 - 27*n**4/32 - 5*n**3/8 - 2*n**2 + 48. Let m(s) = 0. What is s?
-5/32, 1
Let c(d) = 3*d**2 + 1 + 5*d**2 - d - 7*d**2. Let v(i) = -3*i**2 - 3*i - 6. Let x(s) = 10*c(s) + 5*v(s). Let x(p) = 0. What is p?
-4, -1
Let x(r) be the third derivative of r**7/280 - r**6/24 + r**5/20 + r**4 - 8*r**3/3 + 750*r**2. Determine w so that x(w) = 0.
-2, 2/3, 4
Let t(g) = -g**2 + g + 3. Let x(s) = 62*s**2 - 40*s - 2. Let m(q) = 4*t(q) + 2*x(q). Let m(w) = 0. What is w?
2/15, 1/2
Let l(f) = -12*f**2 + 3. Let b be l(6). Let v = b - -2153/5. Suppose k**4 + 0*k + 4/5*k**2 + v*k**3 + 0 + 1/5*k**5 = 0. Calculate k.
-2, -1, 0
Let l(u) be the third derivative of -4*u**5/5 - 51*u**4/8 - 9*u**3/2 - 726*u**2. Factor l(g).
-3*(g + 3)*(16*g + 3)
Let x(o) = -o**2 + o. Let g be x(1). Suppose 10 - 2 = 4*s + 4*j, 14 = 4*s - 2*j. Factor -12*l - 10*l**s + 14*l**3 + g*l + 8.
4*(l - 1)**2*(l + 2)
Let s(t) = -10 + 33 + 22 + 2 - 4*t. Let k be s(11). Factor -3/8*y**2 + 0 + 1/8*y**k + 1/4*y.
y*(y - 2)*(y - 1)/8
Let u(w) be the first derivative of 6 - 7/3*w**2 + 2*w + 4/9*w**3. Determine z, given that u(z) = 0.
1/2, 3
Suppose 0 = -58*k + 56*k + 4. Factor 87 - 5*h**2 - 18*h + 12*h**k - 6 - 6*h**2.
(h - 9)**2
Let w(m) = -1