**4 - 1/60*t**5 + 0*t - 3/2*t**2 - 1/2*t**3 - 4. Let i(f) be the second derivative of y(f). Factor i(q).
-(q - 3)*(q - 1)
Factor -15 + 131 + 26*q**2 + 220 + 675*q + 316*q**2 + 3*q**3.
3*(q + 1)**2*(q + 112)
Factor 8*t - 64/3 + 4/3*t**2.
4*(t - 2)*(t + 8)/3
Let s(j) be the second derivative of -j**4/12 + 4*j**3 + 81*j**2/2 - 3*j - 13. Let k be s(27). Factor 1/3*d**3 + k + 1/3*d**2 - 2/3*d.
d*(d - 1)*(d + 2)/3
Let c = -4 - -9. Suppose -x + 8 = -p, 2*x = c*p + 11 + 17. Solve j + 0*j + x*j**2 - 3*j**2 = 0 for j.
-1, 0
Find g such that -46*g**2 + 4*g**4 - 40*g**3 - g**4 + 40*g + 74 - 7*g**4 - 10 - 14*g**2 = 0.
-8, -2, -1, 1
Let h(f) be the second derivative of -f**7/630 - f**6/180 + f**5/15 - 7*f**4/6 - 18*f. Let o(i) be the third derivative of h(i). Solve o(c) = 0.
-2, 1
Suppose 2*g + 64 = 6*g. Let l be -16 + g + 4 + -1 + -1. Suppose -8/3*d**4 + 4/3 + 4/3*d**l - 4*d + 4*d**3 = 0. What is d?
-1, 1/2, 1
Suppose -10 = -2*b + 40*z - 41*z, 0 = b + 4*z - 19. Factor 0 + 0*o + 0*o**b - 1/4*o**4 + 0*o**2.
-o**4/4
Let n = 5 - -34. Suppose -8*m = 5*m - n. Factor 2/3 + 7/3*w - 1/3*w**5 - 2/3*w**4 + 2/3*w**m + 8/3*w**2.
-(w - 2)*(w + 1)**4/3
Let y(m) = 3*m - 9. Let n be y(6). Factor -n + 32*l + 1 - 4*l**2 - 20*l.
-4*(l - 2)*(l - 1)
Factor -192/7 + 6/7*o**2 + 12*o.
6*(o - 2)*(o + 16)/7
Suppose 8 = -2*g + 4*u, -g - 37 = -3*u - 29. Let -25/3*v**3 - 100/3*v**g - 20/3*v + 0 + 15*v**5 + 100/3*v**2 = 0. What is v?
-1, 0, 2/9, 1, 2
Let r(j) be the third derivative of 12*j**2 + 0*j**4 + 1/80*j**5 - 1/8*j**3 + 0*j + 0. Factor r(g).
3*(g - 1)*(g + 1)/4
Let z(u) = -4*u**2 + 22*u + 24. Let q(h) = h**2 - 2*h - 2. Let p(g) = -2*q(g) - z(g). Factor p(m).
2*(m - 10)*(m + 1)
Let o = -69 - -65. Let p be 65/(-60)*-3 - (-1 - o). Factor -p*x**3 - 3/4*x + 1/4 + 3/4*x**2.
-(x - 1)**3/4
Let h be (-108)/(-594) + -2 + 106/22. Solve 0 + 1/8*o**h - 1/8*o**2 + 0*o = 0 for o.
0, 1
Let t(w) be the first derivative of 4/3*w**3 + 0*w - 2*w**2 - 7. Determine n so that t(n) = 0.
0, 1
Let m be ((-6)/(-9) - 2/30)/(-3)*-2. Solve -2/15*s**2 + m*s + 8/15 = 0.
-1, 4
Let t be (125/(-2500))/(-2 + (-24)/(-15)). Factor -t*a**2 + 1/4 - 1/8*a.
-(a - 1)*(a + 2)/8
Let s(j) be the first derivative of -j**6/9 + 4*j**5/9 + 7*j**4/9 - 64*j**3/27 - 17*j**2/3 - 4*j + 188. Find m, given that s(m) = 0.
-1, -2/3, 3
Let x(z) be the second derivative of -z**4/48 + z**3/24 + z**2/4 + 281*z. Factor x(d).
-(d - 2)*(d + 1)/4
Let m = -34859/240 - -581/4. Let i(p) be the third derivative of -m*p**6 + 1/240*p**5 + 0*p**3 + 0*p + 0 + 0*p**4 - p**2 + 1/840*p**7. Factor i(w).
w**2*(w - 1)**2/4
Let b(s) be the second derivative of -s**6/105 + 3*s**5/35 - 3*s**4/14 + 4*s**3/21 - s - 66. Let b(p) = 0. What is p?
0, 1, 4
Let n be 2/(-11)*-3 - 0. Let m be (-34)/(-153) - 100/2475. Let -n*o + m*o**2 + 0 = 0. What is o?
0, 3
Suppose 72 = -11*g + 17*g. Determine k, given that -25*k**2 + 11*k**2 + g*k**2 + 2*k = 0.
0, 1
Let m be (1 + 1 + -4)/2 + 99. Let b = m + -94. Factor 34/3*n + 10/3*n**2 + b.
2*(n + 3)*(5*n + 2)/3
Let s = 13 - 3. Factor -4*v**5 + 5*v**3 + 4*v**2 + 9*v**3 - s*v**3 - 4*v**4.
-4*v**2*(v - 1)*(v + 1)**2
Let i be ((-36)/(-27))/(1/(-21)). Let n be 2 - 7/(i/(-8)). Factor -2/9*g**2 + 2/9*g**4 - 2/9*g**3 + n + 2/9*g.
2*g*(g - 1)**2*(g + 1)/9
Let z(p) = 4*p**2 + 1 - 4*p**2 + p**2 - 9*p + 8*p. Let n(m) = 10*m**2 + 75*m + 325. Let j(w) = -n(w) + 5*z(w). Factor j(f).
-5*(f + 8)**2
Suppose -105 = -q - 8. Let y = -193/2 + q. Factor u + 1/2*u**2 + y.
(u + 1)**2/2
Let h = -20 + 23. Factor 7*u**3 + 2*u**3 - 3*u**3 + 6*u**2 - 2*u**h + 2*u.
2*u*(u + 1)*(2*u + 1)
Let u = -5/932 + -31279/233. Let r = -134 - u. Factor 1/4 - 1/2*c + r*c**2.
(c - 1)**2/4
Let j(s) = -3*s**2 + 27*s. Let i(y) = -6*y**2 + 54*y. Let l(a) = 3*i(a) - 5*j(a). Factor l(g).
-3*g*(g - 9)
Let t be (-10)/25 + (2 - (-10988)/(-14980)). Let k = -1/107 + t. Determine d, given that k - 9/7*d**2 - 3/7*d = 0.
-1, 2/3
Let m = 6755/1266 + -1/422. Suppose 4 + 4/3*x**2 - m*x = 0. What is x?
1, 3
Let y be 3/(-5) + 1196/260. Factor -2/3*t**y + 0 - 2/3*t**3 + 10/3*t**2 - 2*t.
-2*t*(t - 1)**2*(t + 3)/3
Suppose -2 + 5*f**3 - 80*f - 56 - 2 - 15*f**2 = 0. What is f?
-2, -1, 6
Find h such that 5*h**2 + 3 - 9087*h - 3 + 9082*h - 10 = 0.
-1, 2
Let 3*q**4 - q**4 + 15*q**3 + 6*q**3 - 5*q**3 + 30*q**2 = 0. What is q?
-5, -3, 0
Let r(u) be the third derivative of -u**8/1344 + u**7/105 + u**6/80 - 7*u**5/30 + 67*u**4/96 - u**3 - u**2 - 31. Factor r(t).
-(t - 8)*(t - 1)**3*(t + 3)/4
Let q(g) = -36*g**2 - 11*g + 10. Let n be q(3). Let p = 4515/13 + n. Solve 2/13*c**2 + 2/13*c - p = 0 for c.
-2, 1
Let z = -5268 - -5270. Let 4/7*i**4 + 0*i + 0 - 4/7*i**3 - 8/7*i**z = 0. What is i?
-1, 0, 2
Let b = -9 - -12. Suppose -c - b*d + 14 = 0, 5*c - 5*d - 14 = 4*c. What is s in 7*s**4 - 3*s**4 + 2*s**3 - c*s**2 + 6*s**5 + 2*s**4 - 8*s**5 + 8 = 0?
-1, 1, 2
Factor -q**2 + 133*q + 4*q**2 - 49*q.
3*q*(q + 28)
Let q(h) be the second derivative of h**6/540 - 2*h**5/135 - h**4/36 - h**3/6 - h**2/2 - 42*h. Let o(n) be the second derivative of q(n). Factor o(x).
2*(x - 3)*(3*x + 1)/9
Suppose -9 = -2*y - g, y + 47*g + 18 = 51*g. Factor -3*k**y - 15/2*k**3 + 0 + 0*k.
-3*k**2*(5*k + 2)/2
Let k(b) be the third derivative of b**5/40 + 19*b**4/64 + 15*b**3/16 - 89*b**2. What is i in k(i) = 0?
-15/4, -1
Let n(y) = y**3 + 9*y**2 + 10*y + 18. Let d be n(-8). Suppose -d*i - 3*i = 0. Factor 4/3*m + 0 - 2/3*m**4 + i*m**3 + 2*m**2.
-2*m*(m - 2)*(m + 1)**2/3
Let s(i) be the third derivative of 1/20*i**5 + 0*i**3 + 0*i + 0 - 1/40*i**6 + 1/4*i**4 - 27*i**2. Determine g so that s(g) = 0.
-1, 0, 2
Suppose 10*m**2 - 168 - 64*m**2 - 3*m**3 - 752*m + 572*m = 0. What is m?
-14, -2
Factor 3/5*j**3 + 0 + 2/5*j + j**2.
j*(j + 1)*(3*j + 2)/5
Let n(i) be the second derivative of -3*i**5/100 + 7*i**4/30 - 7*i**3/10 + i**2 - 50*i. Suppose n(b) = 0. Calculate b.
1, 5/3, 2
Let i(n) = 70*n**2 + 1695*n - 1595. Let h(y) = 5*y**2 + 121*y - 114. Let l(k) = -85*h(k) + 6*i(k). Let l(g) = 0. What is g?
-24, 1
Let x(u) be the third derivative of -u**5/12 + 5*u**4/24 + 86*u**2. Factor x(w).
-5*w*(w - 1)
Factor 2/15*f**4 + 38/15*f**2 - 8/5*f - 16/15*f**3 + 0.
2*f*(f - 4)*(f - 3)*(f - 1)/15
Suppose -18/5*y**3 + 3/5*y**4 - 24/5*y - 9*y**2 + 0 = 0. What is y?
-1, 0, 8
Suppose -8*q - 672 = -4*q. Let o be ((6/(-8))/1)/(q/64). Determine t so that -6/7*t**3 + 0 - 2/7*t**2 - 6/7*t**4 - o*t**5 + 0*t = 0.
-1, 0
Let y(p) = -2*p**2 + 24*p + 92. Let r be y(15). Factor -10/7*q**3 - r*q + 2/7*q**4 + 18/7*q**2 + 4/7.
2*(q - 2)*(q - 1)**3/7
Solve -3310*x**3 - 179 - 605*x**4 - 100*x**3 + 1860*x - 1 - 4145*x**2 = 0.
-3, 2/11
Factor -2*n**4 + 30*n**2 + 137*n**3 - 2*n**3 - 3*n**4 + 5*n**4 - 81*n**5 - 24 - 60*n.
-3*(n - 1)**2*(3*n + 2)**3
Let u(n) be the third derivative of n**7/525 - n**6/150 - 2*n**5/25 + 3*n**4/10 + 9*n**3/5 + 221*n**2. Let u(a) = 0. What is a?
-3, -1, 3
Let a(v) = -5*v**2 - 6*v - 1. Let h(t) = -124*t**2 - 3 + 115*t**2 - 2*t - 10*t. Let g(p) = 5*a(p) - 3*h(p). Determine f, given that g(f) = 0.
-2, -1
Let w be 5 + (-4)/(-50) + 37872/(-8400). Factor -w*p - 1/7*p**2 - 4/7.
-(p + 2)**2/7
Let b(m) = -2*m**3 + m - 1. Let n(o) = 13*o**3 - 21*o**2 + 38*o - 16. Let q(z) = -14*b(z) - 2*n(z). Factor q(i).
2*(i - 1)**2*(i + 23)
Let t = -445 + 449. Let w(i) be the third derivative of 0*i - 5*i**2 + 0*i**t + 1/60*i**5 - 1/60*i**6 + 0 + 1/210*i**7 + 0*i**3. Factor w(m).
m**2*(m - 1)**2
Let n = 13 + -11. Factor 5*z**5 - 21*z**3 + 116*z**3 - 35*z**4 - 125*z**n - 20 + 0*z**4 + 80*z.
5*(z - 2)**2*(z - 1)**3
Let m be (77/14 - 8)*66/(-55). Factor -1/3*i**m + 4/3*i**4 + 0*i**2 + 0 + 0*i.
i**3*(4*i - 1)/3
Factor -2*b - 1/2*b**2 + 0.
-b*(b + 4)/2
Suppose -4 = y + 2. Let v(w) = -3*w - 3*w**2 + 3 - 10 + 0*w. Let d(r) = r**2 + r + 2. Let z(p) = y*v(p) - 21*d(p). Factor z(j).
-3*j*(j + 1)
Let r be -1 - (-72)/30 - 1. Let u(w) be the first derivative of -5 - 1/3*w**3 + 0*w**2 + r*w**5 + 0*w + 1/4*w**4. Factor u(j).
j**2*(j + 1)*(2*j - 1)
Let n be -3 + 7 + (1 - 2). Let g(b) be the second derivative of 0*b**2 - 1/30*b**6 - 3/20*b**5 - 1/6*b**n + 0 - 1/4*b**4 - 2*b. Find r such that g(r) = 0.
-1, 0
Let w(x) be the first derivative of x**6/30 - x**4/12 - 12*x - 1. Let v(k) be the first derivative of w(k). Determine h, given that v(h) = 0.
-1, 0, 1
Let s be 6/5 + (-80)/(-100). Let 0*n + 2/11*n