 g = -3. Let v(h) be the second derivative of 0 - 49/15*h**6 - 119/10*h**5 + 6*h + 0*h**2 - p*h**3 + 40/3*h**4. Factor v(s).
-2*s*(s + 3)*(7*s - 2)**2
Let l(b) be the third derivative of b**7/105 - b**6/6 + 37*b**5/30 - 5*b**4 + 12*b**3 + 6*b**2 - 8. Factor l(k).
2*(k - 3)**2*(k - 2)**2
Let l(f) be the second derivative of -f**3 - 15*f + 0 - 1/4*f**4 - 3/2*f**2. Suppose l(m) = 0. What is m?
-1
Let m(h) be the first derivative of h**6/21 + 6*h**5/35 - 39*h**4/14 + 58*h**3/21 + 150*h**2/7 - 288*h/7 + 787. Suppose m(w) = 0. What is w?
-8, -2, 1, 3
Let u = -71 + 38. Let x = u + 33. Factor 2/9*l**5 + x + 4/9*l**4 + 0*l + 0*l**2 + 2/9*l**3.
2*l**3*(l + 1)**2/9
Find t, given that 36*t**2 + 8/5 + 76/5*t = 0.
-2/9, -1/5
Let 16/11*j**2 + 6/11*j + 12/11*j**3 + 0*j**4 + 0 - 2/11*j**5 = 0. Calculate j.
-1, 0, 3
Let g(h) be the third derivative of -h**5/30 - h**4/4 + 4*h**2 + h. Factor g(z).
-2*z*(z + 3)
Suppose 133*d - 175 - 91 = 0. Find o such that o**3 + 8/3*o + 11/3*o**d - 4/3 = 0.
-2, 1/3
Let d(o) be the first derivative of -o**5/450 - o**4/36 - o**2 + 55. Let r(p) be the second derivative of d(p). Determine n so that r(n) = 0.
-5, 0
Let a(y) be the third derivative of y**7/105 - 107*y**6/60 + 583*y**5/6 - 2809*y**4/12 + 22*y**2 - y. Suppose a(u) = 0. Calculate u.
0, 1, 53
Let j(z) = -24*z**2 - 366*z - 88. Let i be j(-15). Factor -2/11*b**4 + 0*b - 2/11 + 0*b**3 + 4/11*b**i.
-2*(b - 1)**2*(b + 1)**2/11
Let p(z) be the first derivative of -z**3/8 + 3*z**2/16 - 65. Factor p(l).
-3*l*(l - 1)/8
Let z(u) be the third derivative of -u**6/60 - 51*u**5/5 - 2601*u**4 - 353736*u**3 + 2*u**2 + 44. Factor z(w).
-2*(w + 102)**3
Let v(h) be the first derivative of -h**6/24 - 3*h**5/10 - 11*h**4/16 - h**3/2 + 45. Let v(q) = 0. What is q?
-3, -2, -1, 0
Let p be 1 + 4 + (-6 - 0). Let v be 4/10 + 8/45*p. Determine a so that -2/9*a**5 - v*a + 4/9*a**3 + 0 + 0*a**4 + 0*a**2 = 0.
-1, 0, 1
Let x(o) be the third derivative of 4/57*o**3 + 1/57*o**4 + 0*o + 11*o**2 - 1/570*o**5 + 0 - 1/1140*o**6. Factor x(a).
-2*(a - 2)*(a + 1)*(a + 2)/19
Suppose 4*w + 13 = 1. Let d be (3 + w + 2)*2. Determine v, given that v**2 + d*v + 4*v + 0*v - 6*v = 0.
-2, 0
Let y = 86 - 84. Solve -4*v**2 - 4*v - y*v**2 + 2*v - v = 0.
-1/2, 0
Let c(h) be the third derivative of -h**8/13440 + h**6/480 + h**5/10 - 15*h**2. Let l(k) be the third derivative of c(k). What is a in l(a) = 0?
-1, 1
Let a(i) = 47*i**2 - 687*i + 158. Let h(q) = 95*q**2 - 1375*q + 320. Let p(t) = -5*a(t) + 2*h(t). Suppose p(u) = 0. Calculate u.
2/9, 15
Let f(y) be the second derivative of y**6/360 - y**5/30 + y**4/6 - 11*y**3/6 - 4*y. Let x(k) be the second derivative of f(k). Determine m, given that x(m) = 0.
2
Let s(q) = 4*q**2 - 2*q - 2. Let a be s(1). Let f = a - -1/9. Factor -4/9*k**2 - 5/9*k - 2/9 - f*k**3.
-(k + 1)**2*(k + 2)/9
Suppose -3*b + 2*r = 99, 2*b - 2*r = 3*r - 66. Let z be 6/33 - 5/b. Determine k so that 0 - z*k**2 - 1/3*k = 0.
-1, 0
Let 5/8*p**2 - 1/8*p**3 + 1/8*p**5 - 5/8*p**4 + 0 + 0*p = 0. Calculate p.
-1, 0, 1, 5
Let z = -66 - -68. Factor -121*q - 6*q**2 + z*q**3 + 121*q.
2*q**2*(q - 3)
Let p(z) be the second derivative of -2/3*z**6 + 0 - 5/42*z**7 + 26*z + 15*z**2 - 5/6*z**4 - 55/6*z**3 + 3*z**5. What is w in p(w) = 0?
-6, -1, 1
Suppose -6*i + 5*t = -4*i - 10, 5*t = 0. Determine p so that -8*p**2 + 23*p**3 - 3*p**3 - 3*p**2 - 4*p**2 - i*p**4 = 0.
0, 1, 3
Factor -444/5*q**4 + 145500*q - 21603/5*q**3 - 66090*q**2 - 75000 - 3/5*q**5.
-3*(q - 1)**2*(q + 50)**3/5
Factor -11*s**2 + 4407 - 392*s + 3811 + 19*s**2 - 3416.
2*(2*s - 49)**2
Suppose 0 = -4*r + 17 - 9. Let -7 + 625*t**3 - 5 - 15*t**r + 24*t - 622*t**3 = 0. What is t?
1, 2
Let u(y) = -2*y**3 - 1. Let w(t) = 17*t**3 - 15*t**2 - 5*t + 21. Let j(m) = 6*u(m) + w(m). Factor j(r).
5*(r - 3)*(r - 1)*(r + 1)
Suppose 15 = 5*o, 2*o - 21 = -3*w - o. Let v(b) = -b**2 + 34*b + 47. Let j be v(35). Find t, given that 10*t**w + t**2 - 2 - j*t**4 + 3*t**2 = 0.
-1, 1
Let z(n) = n**3 + 5*n**2 + 4*n - 3. Let g be z(-3). Let f(t) be the first derivative of 5 + 0*t - 1/3*t**g + 3/10*t**2. Let f(q) = 0. Calculate q.
0, 3/5
Let i be (-7)/((-2)/27*18/24). Factor -2*y**2 - 8*y**3 + 30*y**2 + i*y - 106*y - 16.
-4*(y - 4)*(y + 1)*(2*y - 1)
Let u = 25 + -17. Factor -7*l**3 + 8 - l**3 - 2*l**4 + u*l - 4*l**2 - 2.
-2*(l - 1)*(l + 1)**2*(l + 3)
Let t(i) be the third derivative of i**8/672 - i**7/70 + i**6/30 + i**5/60 - 3*i**4/16 + i**3/3 + 193*i**2. Determine f so that t(f) = 0.
-1, 1, 4
Let w = 266 - 157. Let m be 1 - (-18)/(-14) - w/(-14). Suppose -m*g**2 + 4*g + 2*g**3 + 3/2 = 0. What is g?
-1/4, 1, 3
Let o be 30/((-2)/(2/(-2))). Suppose 0 = -0*x + 5*x + r - 15, -2*r = 5*x - o. Factor 9*z**2 - 6*z**3 - 10*z + 0 + x + 3*z**2 + z**4.
(z - 3)*(z - 1)**3
Let v be (-49)/(-7) - (-1 - -3). Suppose v*f - 39 = -5*q - 4, -5*f + 4*q = 10. Factor 2/5 - 3/5*k + 1/5*k**f.
(k - 2)*(k - 1)/5
Let k(m) be the third derivative of 2/15*m**5 - 38*m**2 + 0 + 1/120*m**6 + 0*m + 5/24*m**4 - 25/3*m**3. Factor k(a).
(a - 2)*(a + 5)**2
Let x(p) = 9*p**3 - 33*p**2 - 116*p - 148. Let j(n) = -3*n**3 - n + 1. Let t(g) = 4*j(g) + x(g). Factor t(m).
-3*(m + 3)*(m + 4)**2
Let y(v) = v**3 + 12*v**2 + 17*v + 21. Let l be y(-10). Let t = l + -51. Factor t*i + 0 - 1/5*i**3 + 1/5*i**2 - 1/5*i**4 + 1/5*i**5.
i**2*(i - 1)**2*(i + 1)/5
Let 9/4*d - 1/4*d**5 - 9/2*d**2 + 2*d**3 + 1/2*d**4 + 0 = 0. What is d?
-3, 0, 1, 3
Determine k, given that 10/7 - 46/7*k**2 + 11/7*k**3 - 47/7*k = 0.
-1, 2/11, 5
Let o(n) be the second derivative of -n**5/70 + 3*n**4/14 + n**3/21 - 9*n**2/7 + 19*n. Find v such that o(v) = 0.
-1, 1, 9
Let f be (-8 + 15)/21 - 33/126. Let l(n) be the second derivative of -5/4*n**4 + f*n**7 + 1/10*n**6 - 6*n - n**3 - 9/20*n**5 + 0*n**2 + 0. Factor l(v).
3*v*(v - 2)*(v + 1)**3
Let u(x) be the second derivative of -x**8/3780 + x**7/630 + 2*x**6/405 - x**3/2 + 26*x. Let o(f) be the second derivative of u(f). Factor o(l).
-4*l**2*(l - 4)*(l + 1)/9
Factor 178/7*l - 348/7 - 2/7*l**2.
-2*(l - 87)*(l - 2)/7
Let l(p) = -27*p**2 - 7 + 120*p + 6*p**2 - 4 + 9*p**2. Let z(h) = 4*h**2 - 40*h + 4. Let f(x) = 4*l(x) + 11*z(x). Let f(n) = 0. What is n?
0, 10
Determine y, given that 3/4*y**2 - 27/4*y**3 + 0 + 9/4*y + 3/2*y**5 + 9/4*y**4 = 0.
-3, -1/2, 0, 1
Let x(w) = 2*w**3 - 18*w**2 + 18*w - 12. Let f be x(8). Let v(y) be the second derivative of -2/33*y**3 + 5*y - 1/11*y**2 - 1/66*y**f + 0. Factor v(u).
-2*(u + 1)**2/11
Let x(w) be the second derivative of w**6/15 + w**5/5 - 6*w**4 + 88*w**3/3 - 64*w**2 - 225*w. Determine y, given that x(y) = 0.
-8, 2
Determine v so that 3/5*v**3 - 9/5*v - 6/5*v**2 + 0 = 0.
-1, 0, 3
Let u be 115/20 - (2/(-8))/1. Let -24*a**3 + 2*a - u*a + 0*a**2 + 16*a**4 + 7*a**2 - 4*a**5 + 9*a**2 = 0. Calculate a.
0, 1
Let p be 50/100 - (-4)/(16/6). Let c(l) be the second derivative of 0*l**p + 1/30*l**5 + 0*l**3 + 0 - 1/9*l**4 - 3*l. Factor c(f).
2*f**2*(f - 2)/3
Let z = 343 - 92. Let z + 3*t**2 - 67 + 39 - 90*t + 452 = 0. Calculate t.
15
Let i = -7 + 11. Suppose -11 = -5*u + i. Solve -f**2 + 12 - 12 - u*f + 2*f = 0 for f.
-1, 0
Let k be -5 + -5 - 24/(-18)*8. Let 1/3*b**2 - k - b + 1/3*b**4 + b**3 = 0. Calculate b.
-2, -1, 1
Let o be (-2 - -1)*0/(-8). Solve 0*k + 3*k - k**2 - 7*k - 4 + o*k = 0 for k.
-2
Let d(v) = -10*v**2 - 6*v - 7. Let a(t) = t**2 + t + 1. Let y(s) = 22*a(s) + 2*d(s). Factor y(q).
2*(q + 1)*(q + 4)
Let u = 11 + -9. Suppose -d - u*d = -6. Factor -33*h - 2*h**4 - h**4 - 12*h**4 - 51*h**3 - 6 - 63*h**d.
-3*(h + 1)**3*(5*h + 2)
Let v(n) = n**2 - 5*n - 12. Let z be v(-2). Let r(h) be the first derivative of -24/7*h**3 + 0*h + 8/7*h**z - 2/5*h**5 - 11 + 15/7*h**4. Factor r(o).
-2*o*(o - 2)**2*(7*o - 2)/7
Let y(l) be the first derivative of l**6/180 + l**5/35 - l**4/21 + 5*l**3/3 - 2. Let a(n) be the third derivative of y(n). Factor a(h).
2*(h + 2)*(7*h - 2)/7
Let f(i) be the third derivative of 0*i - 1/210*i**7 + 1/60*i**5 + 0*i**3 + 0 + i**2 - 1/24*i**4 + 1/120*i**6. Factor f(p).
-p*(p - 1)**2*(p + 1)
Factor -32/3*j + 5/3*j**3 - 32/3 + 2*j**2 - 1/3*j**4.
-(j - 4)**2*(j + 1)*(j + 2)/3
Suppose -2*g - 5 = -3*z, 13 + 17 = z + 5*g. Let u(b) be the first derivative of -z - 4/9*b**2 - 2/27*b**3 - 2/3*b. Factor u(h).
-2*(h + 1)*(h + 3)/9
Let c(l) be the third derivative of l**5/12 + 11*l**4/12 + 5*l*