k) be the first derivative of -k**6/60 - k**5/20 + k**3/6 + k**2/4 - 9*k - 4. Let v(j) be the first derivative of n(j). Factor v(d).
-(d - 1)*(d + 1)**3/2
Let t(m) = m**2 - 32. Let z be t(6). Suppose -2*f + z = -d, -15*d - 8 = -f - 13*d. Suppose 1/3*r**2 + f + 2/3*r = 0. What is r?
-2, 0
Factor 70/11*a + 2/11*a**3 + 98/11 - 26/11*a**2.
2*(a - 7)**2*(a + 1)/11
Let f(g) = 59 + 7*g - 46 - 10*g + 2*g. Let d be f(12). Factor -1/2*p + p**2 + 1/2*p**3 - d.
(p - 1)*(p + 1)*(p + 2)/2
Let l(p) be the third derivative of -2/21*p**4 + 4/21*p**3 + 0*p + 8*p**2 - 1/735*p**7 - 1/70*p**5 - 1/392*p**8 + 0 + 11/420*p**6. Solve l(z) = 0 for z.
-2, -1, 2/3, 1
Let h(s) = 14 - 20 + 6*s - 8*s. Let g be h(-3). Find d, given that 2/9 - 2/9*d**2 + g*d = 0.
-1, 1
Let s(h) be the first derivative of -h**4/8 + 5*h**3/6 - h**2 - 97. Factor s(c).
-c*(c - 4)*(c - 1)/2
Let s = 225 - 885/4. Let o(u) be the first derivative of -s*u**4 + 6*u + 9*u**3 - 21/2*u**2 - 3 + 3/5*u**5. Solve o(q) = 0 for q.
1, 2
Let d(u) = 3*u**2 - 1790*u - 107659. Let v(c) = 2*c**2 - 892*c - 53830. Let x(l) = 6*d(l) - 11*v(l). Factor x(k).
-4*(k + 116)**2
Let x be 1/(-14*9/(-252)). Factor g**3 + 3/2*g**x - 1/2*g**4 - 2*g - 2.
-(g - 2)**2*(g + 1)**2/2
Let f(j) be the third derivative of 0 + 0*j**3 - 1/420*j**7 + 1/120*j**5 - 1/672*j**8 + 0*j + 1/240*j**6 + 10*j**2 + 0*j**4. Determine w so that f(w) = 0.
-1, 0, 1
Let o(h) = -154*h + 3545. Let z be o(23). Factor -729/4*v**z + 243/2*v**2 - 27*v + 2.
-(9*v - 2)**3/4
Solve 5*x**3 - 5/2*x**2 - 20*x + 10 = 0.
-2, 1/2, 2
Let l be -6*(-3)/((-18)/(-4)). Let -2*d**2 + 2*d**4 + 3*d**5 - 8*d**l - 6*d**3 - 5*d**5 = 0. Calculate d.
-1, 0
Suppose -18*v + 19*v = 3307. Factor -3312*m + v*m - 5*m**3 + 10*m**2 - 2 + 2.
-5*m*(m - 1)**2
Let d = 11108 + -11108. What is k in 0 + 1/2*k**3 - 2*k + d*k**2 = 0?
-2, 0, 2
Let r(u) = -13*u + 14*u - u**2 - 3*u**3 + 4*u**3. Let h(f) = f**3 + 2*f. Let c(x) = -h(x) + 2*r(x). Let c(z) = 0. Calculate z.
0, 2
Factor o - 3*o**3 - 12 - 20*o**2 - 2*o + 32*o**2 + 6*o**3 - 2*o.
3*(o - 1)*(o + 1)*(o + 4)
Let t(k) = -8*k**4 + 17*k**3 + 8*k**2 - 6*k + 11. Let j(r) = 3*r**4 - 6*r**3 - 3*r**2 + 2*r - 4. Let d(b) = -11*j(b) - 4*t(b). Factor d(l).
-l*(l - 1)*(l + 1)*(l + 2)
Let x(d) be the second derivative of -1/8*d**3 + 0 + 5*d + 0*d**2 + 1/10*d**6 - 1/4*d**4 + 3/80*d**5. Suppose x(k) = 0. What is k?
-1, -1/4, 0, 1
Suppose 135*o = -12*o. Suppose 8/7*p**5 + o + 2/7*p + 30/7*p**3 + 26/7*p**4 + 2*p**2 = 0. What is p?
-1, -1/4, 0
Let b(v) be the third derivative of v**5/20 - 3*v**4/8 - 2*v**3 - 17*v**2 + 2*v. Let b(l) = 0. What is l?
-1, 4
Suppose 248 = 58*s + 4*s. Solve 0 - 3/2*g**2 + 9/2*g**3 + 3/2*g**s - 9/2*g = 0 for g.
-3, -1, 0, 1
Let c(k) = -2*k**3 + 2*k**2 + 3*k - 2. Let u be c(2). Let g be (-39)/78 + (-2)/u. Factor -4/3*v**2 - 4/3*v**3 + g + 4/3*v + 4/3*v**4.
4*v*(v - 1)**2*(v + 1)/3
Let s(p) be the third derivative of p**8/5880 + p**3/6 - 4*p**2. Let t(l) be the first derivative of s(l). Determine a, given that t(a) = 0.
0
Let y be ((-4)/(-7))/(1751/(-119) - -15). Solve -665/4*s**y + 735/4*s**3 - 5 + 50*s = 0.
2/7, 1/3
Let i be ((-55)/10 + 5)*0. Let k(a) be the second derivative of -2/9*a**3 + i*a**2 + 0 + 6*a + 1/15*a**5 - 1/18*a**4 + 1/45*a**6. Let k(c) = 0. What is c?
-2, -1, 0, 1
Let c(w) = w**3 - 51*w**2 - 105*w - 48. Let f be c(53). Factor -2/7*p**f - 2*p**4 - 32/7*p - 8/7 - 50/7*p**2 - 38/7*p**3.
-2*(p + 1)**3*(p + 2)**2/7
Let b = -15 + 18. Suppose -b*o - 3 = 3*n, 9 = -2*o - o. Factor -31*i + 15*i**3 - 48*i**n - 6*i**3 + 23*i**3 - 4 + i.
2*(i - 2)*(4*i + 1)**2
Let t(c) be the first derivative of -c**8/2016 + c**7/420 - c**5/90 - 17*c**2/2 + 6. Let o(q) be the second derivative of t(q). Solve o(r) = 0.
-1, 0, 2
Let v = -86 - -85. Let s be 6/2 - v/(-1). Determine d so that 12/5 + 4/5*d**s + 16/5*d = 0.
-3, -1
Factor -26*j - 2704 - 61*j - 4*j**2 - 121*j.
-4*(j + 26)**2
Let o(q) be the second derivative of -q**6/150 - 4*q**5/25 - 5*q**4/12 + 7*q**3/5 + q - 10. Factor o(j).
-j*(j - 1)*(j + 3)*(j + 14)/5
Let r = -80 + 82. Let o be 1 - -2 - 1 - r. Solve o + 6/5*i**2 - 4/5*i + 2/5*i**3 + 2/5*i**5 - 6/5*i**4 = 0.
-1, 0, 1, 2
Let p(y) be the first derivative of 0*y + 6/7*y**2 - 3/7*y**4 + 4/35*y**5 - 4/21*y**3 + 18. Factor p(o).
4*o*(o - 3)*(o - 1)*(o + 1)/7
Let a be (-2)/((2/4)/((19 + -8)/(-11))). Suppose -v**2 + 2/3*v - 1/3*v**3 - 1/3*v**5 + v**a + 0 = 0. What is v?
-1, 0, 1, 2
Factor -220/3*a - 242/3*a**2 + 16.
-2*(11*a - 2)*(11*a + 12)/3
Let q(n) be the second derivative of -n**8/60480 - n**7/3780 - n**6/720 - n**4 + 11*n. Let x(z) be the third derivative of q(z). Factor x(s).
-s*(s + 3)**2/9
Suppose -50 = -c + 49. Solve 68 + c - 147 + 45*k**2 + 100*k = 0 for k.
-2, -2/9
Solve 29/3*b + 0 + 1/3*b**3 - 10*b**2 = 0 for b.
0, 1, 29
Let b(i) be the second derivative of -3*i**4/16 + 2*i**3 + 9*i**2/2 - 23*i. Factor b(a).
-3*(a - 6)*(3*a + 2)/4
Let h(l) be the third derivative of -1/204*l**4 + 0 + 0*l**5 + 0*l**3 + 1/1020*l**6 + 12*l**2 + 0*l. Suppose h(j) = 0. Calculate j.
-1, 0, 1
Let k(w) be the first derivative of -3/26*w**4 + 13 + 0*w + 4/65*w**5 + 4/13*w**2 + 1/39*w**6 - 8/39*w**3. What is z in k(z) = 0?
-2, 0, 1
Let f(h) be the third derivative of -121*h**6/40 - 33*h**5/5 - 9*h**4/2 + 323*h**2. Find r, given that f(r) = 0.
-6/11, 0
Let -1/3*u**2 - u + 6 = 0. Calculate u.
-6, 3
Suppose -10*h + 6*h + 220 = 0. Let r = h + -55. Suppose 10/9*k**4 + 0 + 8/3*k**5 + 2/9*k**2 - 4/3*k**3 + r*k = 0. Calculate k.
-1, 0, 1/4, 1/3
Let q(w) be the first derivative of -16/11*w**2 - 1/66*w**4 + 8*w - 5 + 8/33*w**3. Let o(f) be the first derivative of q(f). Factor o(c).
-2*(c - 4)**2/11
Let b(z) = -13*z - 7. Let s(i) = 2*i**2 + 26*i + 13. Let n(f) = -11*b(f) - 6*s(f). Let n(x) = 0. Calculate x.
-1, -1/12
Let a(q) = q**3. Let p(g) = 201*g**2 - 13467*g + 300763. Let w(s) = a(s) - p(s). Suppose w(r) = 0. Calculate r.
67
Let n(k) be the third derivative of k**7/490 + 3*k**6/56 + 12*k**5/35 - 8*k**4/7 - 46*k**2. Let n(v) = 0. Calculate v.
-8, 0, 1
Factor 28/17*a + 6/17 - 10/17*a**2.
-2*(a - 3)*(5*a + 1)/17
Suppose r + 7*x = 4*x - 1, 0 = r - 5*x + 33. Let c be (-4)/2 + (150/r)/(-5). Factor -c*o**2 + 6/13*o - 2/13.
-2*(o - 1)*(2*o - 1)/13
Let k(v) be the third derivative of -v**5/60 - 13*v**4/14 - 22*v**3/21 - 713*v**2. Suppose k(r) = 0. Calculate r.
-22, -2/7
Let x = -665 + 8647/13. Factor 2/13*v**2 + x*v**3 - 4/13*v + 0.
2*v*(v - 1)*(v + 2)/13
Let p(g) be the first derivative of g**6/40 + 3*g**5/20 - 2*g**3 + 7*g**2/2 - 10. Let j(l) be the second derivative of p(l). Factor j(i).
3*(i - 1)*(i + 2)**2
Factor 81/2*k + 42 - 3/2*k**2.
-3*(k - 28)*(k + 1)/2
Suppose -53*l + 22*l + 93 = 0. Let -4/5*z**2 + 2/5*z**4 + 1/5*z - 2/5*z**l + 2/5 + 1/5*z**5 = 0. What is z?
-2, -1, 1
Let m = -1 + 3. Determine o, given that 2*o**2 + 287 + o**m + 60*o + 13 = 0.
-10
Let u(z) be the second derivative of 3*z**5/80 - z**4/4 - z + 22. Factor u(n).
3*n**2*(n - 4)/4
Let a(o) be the first derivative of o**4/18 + 2*o**3/9 + 2*o**2/9 - 74. Factor a(w).
2*w*(w + 1)*(w + 2)/9
Let m be (2/(-6)*4)/((2604/(-9))/31). Factor -1/7*i**2 + 0 - m*i**3 + 2/7*i.
-i*(i - 1)*(i + 2)/7
Suppose 4*l + 3*s - 11 = 0, 2*l + 32 = 5*s + 31. Factor o**3 - 2/3*o**l + 0*o + 7/3*o**5 + 0 + 4*o**4.
o**2*(o + 1)**2*(7*o - 2)/3
Let r(u) be the first derivative of 2/3*u - 2/9*u**3 - 16 + 1/2*u**2 + 0*u**5 - 1/3*u**4 + 1/18*u**6. Let r(q) = 0. Calculate q.
-1, 1, 2
Factor 6/5*n**4 + 0*n - 2/5*n**5 + 8/5*n**3 + 0*n**2 + 0.
-2*n**3*(n - 4)*(n + 1)/5
Let g(c) = -9*c**4 - 16*c**3 - 4*c**2 + 80*c + 84. Let l(u) = -u**4 + u**3 - u**2 + 1. Let z(h) = -g(h) + 4*l(h). Factor z(k).
5*(k - 2)*(k + 2)**3
Factor -1/2*a**3 + 33/2*a**2 - 255/2*a - 289/2.
-(a - 17)**2*(a + 1)/2
Let u(d) be the first derivative of -3*d**4/20 + 3*d**3/5 + 24*d**2/5 + 36*d/5 + 124. Suppose u(a) = 0. Calculate a.
-2, -1, 6
Factor 0 + 6*k**3 - 32/3*k + 140/3*k**2.
2*k*(k + 8)*(9*k - 2)/3
Factor -46*z + 294*z**2 - 147*z**2 - 145*z**2.
2*z*(z - 23)
Let v be (-2 - 85/(-40))/(1/4). Let o(f) be the second derivative of 0 - v*f**2 + 1/12*f**3 + 5*f + 1/24*f**4. Factor o(z).
(z - 1)*(z + 2)/2
Let z = -68 + 63. Let p(w) = 8*w**3 + 56*w**2 + 83*w + 45. Let m(y) = 12*y**3 + 84*y**2 + 124*y + 68. Let q(k) = z*m(k) + 8*p(k). Solve q(b) = 0 for b.
-5, -1
Let i(m) be the 