(-60)/(-95)). Factor 2/3*w**s + 8/3*w - 10/3.
2*(w - 1)*(w + 5)/3
Let u(s) = -s**2 + 30*s + 8. Let c be u(22). Let y = 187 - c. Factor -1/2*j**2 + 1/2*j**4 - 1/4*j + 0*j**y + 1/4*j**5 + 0.
j*(j - 1)*(j + 1)**3/4
Let b(c) be the first derivative of -c**8/280 + c**7/56 + c**6/30 - 3*c**5/40 + c**3/3 + 38. Let m(j) be the third derivative of b(j). What is o in m(o) = 0?
-1, 0, 1/2, 3
Suppose -5*a - 32*a = -7*a - 90. Suppose 0*t**2 - 1/6*t**a - 1/6*t**5 + 0*t + 1/3*t**4 + 0 = 0. What is t?
0, 1
Let o = -34 + 87. Suppose i - 57 = o. Determine r, given that -i*r + 116*r - 3*r**4 + 0 + 3 - 6*r**3 = 0.
-1, 1
Let p(d) be the second derivative of 0*d**3 + 1/225*d**6 + 0*d**4 - d + 0*d**2 + 0 + 1/150*d**5. Factor p(a).
2*a**3*(a + 1)/15
Suppose 0 = -39*v + 61*v. Let k(l) be the second derivative of v*l**2 - 3/80*l**5 - 9*l + 0 - 1/120*l**6 + 1/6*l**3 + 0*l**4. Factor k(y).
-y*(y - 1)*(y + 2)**2/4
Let c(b) = -3*b**2 + 75*b - 200. Let p(h) = -4*h + 48. Let i be p(10). Let w(m) = 4*m**2 - 112*m + 300. Let s(z) = i*c(z) + 5*w(z). What is t in s(t) = 0?
5
Let y = -278376/11 - -25308. What is u in -2/11*u**3 - 16/11 + 30/11*u - y*u**2 = 0?
-8, 1
Let m(n) be the third derivative of n**7/14 - 31*n**6/12 + 97*n**5/12 - 95*n**4/12 + 144*n**2. Find f, given that m(f) = 0.
0, 2/3, 1, 19
Let w = 1 - 1. Let n = 86919/4 - 21729. Factor 1/4*d**5 - n*d**4 + 0 - 1/4*d**2 + w*d + 3/4*d**3.
d**2*(d - 1)**3/4
Let t be 3/2*1855/(-795) - -5. Let o = 6 - 4. Factor -1/2*n**4 - 1/2*n**3 + 1 + 5/2*n + t*n**o.
-(n - 2)*(n + 1)**3/2
Suppose 0 = -39*o - 573 + 729. Factor -2/13*s**o + 2/13*s + 0 - 2/13*s**3 + 2/13*s**2.
-2*s*(s - 1)*(s + 1)**2/13
Let l(b) be the second derivative of -b**6/18 - b**5/8 + 55*b**4/72 + 5*b**3/6 + 2*b - 30. Let l(c) = 0. Calculate c.
-3, -1/2, 0, 2
Let j(f) = 16*f + 8. Let t be j(-5). Let y be 3/6*t/(-2). Suppose 36 - 6*l + 5*l**2 + 0*l - y*l - l**2 = 0. Calculate l.
3
Suppose -5*n - 24 = -2*q, -16*q + 4*n = -12*q - 24. Factor -72/11 - 8/11*x**3 + 94/11*x**q - 24*x.
-2*(x - 6)**2*(4*x + 1)/11
Determine j so that -1/8*j**4 + 85/8*j - 7/2 - 87/8*j**2 + 31/8*j**3 = 0.
1, 28
Let p(g) be the third derivative of 0*g**7 - 7*g**2 + 1/132*g**4 + 0*g**3 + 0*g**5 - 1/330*g**6 + 0 + 0*g + 1/1848*g**8. Factor p(k).
2*k*(k - 1)**2*(k + 1)**2/11
Let u(a) be the third derivative of a**6/720 - a**4/12 + 17*a**3/3 + 30*a**2. Let p(t) be the first derivative of u(t). Factor p(m).
(m - 2)*(m + 2)/2
Let p(n) = -4*n**2 + 50*n. Let r(h) = -h**2 - h. Let y(u) = 2*p(u) + 20*r(u). Solve y(v) = 0.
0, 20/7
Let t(x) be the third derivative of -x**10/10080 + x**9/1008 - x**8/280 + x**7/210 + x**4/3 - 18*x**2. Let n(z) be the second derivative of t(z). Factor n(s).
-3*s**2*(s - 2)**2*(s - 1)
Let p(k) be the third derivative of 2 - 1/40*k**5 + 0*k - 3/16*k**4 + 12*k**2 - 1/2*k**3. What is h in p(h) = 0?
-2, -1
Factor -64*q**2 + 2*q**4 + 12*q**5 - 16*q**3 + 13*q**4 + 17*q**4.
4*q**2*(q + 2)**2*(3*q - 4)
Suppose 5*o - 33 = -6*o. Suppose 22*t + 3*t**4 - o*t**2 - 12*t**3 + 4*t**4 - 4*t**4 - 10*t = 0. Calculate t.
-1, 0, 1, 4
Determine p, given that 5/2*p - 1/4*p**2 + 0 = 0.
0, 10
Determine l so that 24/7 + 6/7*l - 3/7*l**2 = 0.
-2, 4
Let l(o) be the third derivative of 13*o**2 - 2/105*o**7 - 2/15*o**5 + 1/6*o**4 - 2/15*o**3 + 0*o + 1/15*o**6 + 1/420*o**8 + 0. Factor l(i).
4*(i - 1)**5/5
Suppose -2699*z + 2707*z = 0. Factor 0*g + 2/23*g**5 + 2/23*g**4 + z*g**3 + 0 + 0*g**2.
2*g**4*(g + 1)/23
Let s = 56 + -55. Let m be ((1 - 3) + 2)/s. Factor 4/9*y**2 + m*y**3 + 0 - 4/9*y**4 - 2/9*y + 2/9*y**5.
2*y*(y - 1)**3*(y + 1)/9
Let x(h) = 165*h**3 - 569*h**2 + 650*h - 225. Let p(s) = -110*s**3 + 380*s**2 - 435*s + 150. Let u(o) = 7*p(o) + 5*x(o). Factor u(t).
5*(t - 1)**2*(11*t - 15)
Let f be (-3 - -5)*(0 - -7). Let j(h) = h**3 - 15*h**2 + 12*h + 28. Let q be j(f). Factor -2/7*w**5 + 0 + 0*w**2 + 4/7*w**3 + q*w + 2/7*w**4.
-2*w**3*(w - 2)*(w + 1)/7
Factor 21*c**4 + 42 - 2 + 55*c**3 - 26*c**4 + 130*c + 145*c**2 - 5*c**5.
-5*(c - 4)*(c + 1)**3*(c + 2)
Factor 0 - 52/7*r**2 - r**4 + 12/7*r + 37/7*r**3.
-r*(r - 3)*(r - 2)*(7*r - 2)/7
Let h = -680 - -40801/60. Let u(p) be the third derivative of 0 - 1/4*p**4 + 1/3*p**3 + 1/10*p**5 + 3*p**2 - h*p**6 + 0*p. Let u(c) = 0. What is c?
1
Determine k so that -288/7 - 899/7*k**3 - 2138/7*k**2 - 109/7*k**4 - 1632/7*k - 4/7*k**5 = 0.
-12, -2, -1, -1/4
Let t(x) be the first derivative of -1 + 1/270*x**5 + 0*x**3 + 0*x - 1/108*x**4 + x**2. Let a(i) be the second derivative of t(i). Let a(h) = 0. Calculate h.
0, 1
Suppose 0 = -11*f - 31 + 64. Let k(s) be the third derivative of 1/240*s**5 + 1/96*s**4 + 0 - 1/12*s**f + s**2 + 0*s. Determine d so that k(d) = 0.
-2, 1
Factor -48*o + 107*o + 3*o**2 + 10 + 23 - 95*o.
3*(o - 11)*(o - 1)
Find i, given that 87*i**3 + 6*i**5 + 9*i**2 + 36 - 176*i + 214*i - 45*i**4 - 131*i = 0.
-1, 1/2, 1, 3, 4
Suppose -54*f**2 - 42*f**3 - 50/9*f**4 + 324*f - 2/9*f**5 + 0 = 0. Calculate f.
-9, 0, 2
Let -89/6*l**4 + 2/3*l**5 - 121/6*l**2 + 10/3*l + 31*l**3 + 0 = 0. What is l?
0, 1/4, 1, 20
Factor 0 - 298/7*d**2 - 2/7*d**3 + 0*d.
-2*d**2*(d + 149)/7
Let l(m) = -4*m**2 + 76*m + 104. Let c(f) = 3*f**2 - 51*f - 69. Let p(o) = -8*c(o) - 5*l(o). Factor p(a).
-4*(a - 8)*(a + 1)
Let x(i) = -12*i - 9. Let r be x(6). Let n = -565/7 - r. Determine b, given that 4/7 - 6/7*b + n*b**2 = 0.
1, 2
Let w = 188 - 196. Let y be ((-4)/44)/(-1 - 4/w). Factor y*c**3 + 0*c**2 + 0 - 2/11*c.
2*c*(c - 1)*(c + 1)/11
Let i(n) = -n**3 - 2*n - 1. Let l be i(-1). Find g, given that g + 12*g**2 + 18*g**l - 29*g**2 - 2 = 0.
-2, 1
Let y(n) be the first derivative of -n**6/90 - 4*n**5/45 - n**4/6 - 6*n**2 - 5. Let r(b) be the second derivative of y(b). Let r(s) = 0. What is s?
-3, -1, 0
Let z(s) be the second derivative of -2*s**6/15 - s**5/5 + s**4 + 2*s**3/3 - 4*s**2 + 2*s - 2. Determine t, given that z(t) = 0.
-2, -1, 1
Let q(n) be the first derivative of -n**6/120 + n**5/60 + n**4/24 - n**3/6 - 3*n**2/2 + 9. Let z(d) be the second derivative of q(d). Factor z(f).
-(f - 1)**2*(f + 1)
Find g, given that -8*g**2 + 27*g**2 - 11*g**2 - 8*g**2 + 10*g**3 - 2*g**5 - 8*g = 0.
-2, -1, 0, 1, 2
Let s be (-2 + 0)*(6/4)/(-1). Factor 24*t**2 - 6*t**s + 2*t**4 - 8*t**2 - 10*t**2 - 2*t.
2*t*(t - 1)**3
Let y(z) be the first derivative of -3*z**4/4 + 14*z**3 - 39*z**2/2 - 20. Factor y(l).
-3*l*(l - 13)*(l - 1)
Suppose 3*p + 1 = h, 35 = 779*h - 774*h. Factor 8/13 - 6/13*l - 2/13*l**p.
-2*(l - 1)*(l + 4)/13
Let w be 6/(-8) - (-812)/16. Determine t, given that 185*t**2 - 19*t**4 - w*t**3 + 180 - 300*t - 21*t**4 + 45*t**4 = 0.
2, 3
Let r(u) = 21*u**4 - 24*u**3 - 15*u**2 + 66*u - 36. Let s(x) = 45*x**4 - 49*x**3 - 31*x**2 + 133*x - 72. Let v(t) = -13*r(t) + 6*s(t). Factor v(q).
-3*(q - 6)*(q - 1)**2*(q + 2)
Suppose 5*q = 6*q, 0 = -4*g - 4*q + 16. Let m be ((-8)/(-24))/((-1)/(-9)). Solve 1/4*l + 3/4*l**m + 3/4*l**2 + 0 + 1/4*l**g = 0.
-1, 0
Let m(y) = -3*y**2 + 2*y**2 + 0*y + 20*y - 66 + 5*y. Let w be m(22). Solve w - 1/2*h**2 + 1/2*h = 0.
0, 1
Let w = 541 - 538. Let p(o) be the second derivative of 0 - 6*o**2 + 27/40*o**5 - 5*o + 7*o**w - 15/4*o**4. Factor p(c).
3*(c - 2)*(3*c - 2)**2/2
Let n(b) be the first derivative of 0*b + 0*b**2 - 27 + 0*b**3 - 1/20*b**4. Let n(q) = 0. Calculate q.
0
Let m be (6 - 3)/((350/56)/(25/90)). Factor 6/5 + m*i**2 - 4/5*i.
2*(i - 3)**2/15
Let p(h) be the first derivative of h**6/135 + 2*h**5/45 + 2*h**4/27 + h + 1. Let y(s) be the first derivative of p(s). Suppose y(i) = 0. Calculate i.
-2, 0
Let z(b) be the first derivative of -b**5/10 - 3*b**4/2 - 29*b**3/6 - 9*b**2/2 + 200. Factor z(f).
-f*(f + 1)*(f + 2)*(f + 9)/2
Let y(s) be the second derivative of -s**5/140 + 2*s**3/7 + 8*s**2/7 - 4*s - 1. Factor y(b).
-(b - 4)*(b + 2)**2/7
Determine d, given that 6/11*d**3 + 48/11 - 8*d + 20/11*d**2 = 0.
-6, 2/3, 2
Let q(h) = -8*h**2 + 374*h - 190. Let l(u) = 16*u**2 - 749*u + 383. Let n(o) = -2*l(o) - 5*q(o). Factor n(i).
4*(i - 46)*(2*i - 1)
Solve -13*l**2 - 3*l**2 - 12*l + 11*l + 3*l**3 + 17*l + l**3 = 0.
0, 2
Let x(q) be the first derivative of -2*q**3/39 + 10*q**2/13 - 50*q/13 - 10. Let x(n) = 0. Calculate n.
5
Factor -12/7*f + 0 - 16/7*f**2.
-4*f*(4*f + 3)/7
Suppose -2*s = 0, 0 = -3*t + s + 4*s. Suppose t = -4*p + p + 6. Factor 4*d**3 - 2*d - 2*d**4 + 0*d + 2 - p*d.
-2*