ivative of -3/5*l**2 + 8/5*l - 17 - y*l**3. Determine u, given that f(u) = 0.
-4, 1
Let z(m) be the third derivative of m**8/10080 + m**7/1260 - m**5/4 - m**3/3 + m**2 + 21. Let s(o) be the third derivative of z(o). Suppose s(h) = 0. What is h?
-2, 0
Suppose -5*u = -3*u + g - 11, 4*u = 4*g + 4. Let o(h) be the first derivative of -28 + 48*h - 7*h**3 + 3/4*h**u + 12*h**2. Determine z so that o(z) = 0.
-1, 4
Let l(g) = -57*g**2 + 280*g - 204. Let w be l(4). Suppose 12 = 5*m - 3. Let -3/5*n**m + 2/5*n - 1/5*n**w + 0 + 1/5*n**2 + 1/5*n**5 = 0. Calculate n.
-1, 0, 1, 2
Let m(a) be the third derivative of a**6/30 + 11*a**5/5 + 36*a**4 - 648*a**3 - 2419*a**2. Find o such that m(o) = 0.
-18, 3
Let z = -24 - 27. Let r = 65 + z. Let -2*w**4 - 6*w**2 - r*w**3 - 5*w**4 - 2*w**5 - 3*w**4 = 0. What is w?
-3, -1, 0
Let d(u) = -u**3 - 3*u**2 + 6*u - 15. Let s be d(-5). Factor -1 + 4*f - 3 - s - 4*f**3 + 12*f**2 + 1 - 4*f**4.
-4*(f - 1)**2*(f + 1)*(f + 2)
Let o(b) = 999*b**2 + 18*b - 19. Let n be o(1). Factor -40*q - n*q**2 + 95 - 23 + 1000*q**2.
2*(q - 18)*(q - 2)
Let j(l) be the third derivative of -l**5/150 - 7*l**4/15 - 515*l**2 - 2. Let j(g) = 0. What is g?
-28, 0
Factor 373*t - 2610 + 342*t - 5*t**2 + 600*t.
-5*(t - 261)*(t - 2)
Factor 0*g + 4/9*g**4 - 19/9*g**3 + 0 + 14/9*g**2 + 1/9*g**5.
g**2*(g - 2)*(g - 1)*(g + 7)/9
Let u(w) = -4*w**2 - 30*w + 827. Let p(o) = o**2 + 7*o - 207. Let n(m) = -26*p(m) - 6*u(m). Factor n(j).
-2*(j - 14)*(j + 15)
Let l(x) = 9*x**3 - 15*x**2 + 30*x - 16. Let s(a) = 7*a**3 - 15*a**2 + 32*a - 18. Let u(y) = -3*l(y) + 4*s(y). Determine p, given that u(p) = 0.
1, 2, 12
Let r be (6/9)/2 + ((-1419)/63)/(-43). Let -36/7*f**4 + 75/7*f**2 + r - 24/7*f**3 - 39/7*f = 0. Calculate f.
-2, 1/3, 1/2
Suppose 95*f - 112*f = -51. Suppose 0 = -3*w + 4*v + 56, -79 = -3*w - w + v. Find o, given that -15*o**5 - 210 + 20*o**f + 210 + 25*o**4 - w*o**2 = 0.
-1, 0, 2/3, 2
Let z(i) = i**3 - 12*i**2 + 3*i - 20. Let o be z(12). Factor o*f**3 + 19*f**3 + 143*f**2 - 10 - 5*f + 10*f**4 - 51*f**2 - 62*f**2.
5*(f + 1)**2*(f + 2)*(2*f - 1)
Factor -3*f**2 + 186933 + f**2 + 1108*f - 188039.
-2*(f - 553)*(f - 1)
Let f(p) be the third derivative of 1/240*p**6 + 0*p + 64*p**4 - 8192/3*p**3 - 4/5*p**5 + 0 - 89*p**2. Factor f(i).
(i - 32)**3/2
Suppose 0 = 3*w - k - 6, 2 = -5*w - 5*k + 12. Suppose -29 = -w*y - 5*c, 2*c = 5*y - 3*y - 36. Factor 10*f**4 - y*f**2 + 58*f**5 + 2*f**4 + f**2 - 54*f**5.
4*f**2*(f - 1)*(f + 2)**2
Let l(j) be the third derivative of j**5/540 + 11*j**4/216 + j**3/3 - 7835*j**2. Factor l(x).
(x + 2)*(x + 9)/9
Suppose -5*x - 11 = 2*h, 5*x + 24 + 15 = 2*h. Suppose -5*d + 216 = h*d. Find z, given that d + 22*z**2 + 31*z - 19*z**2 - 10*z = 0.
-6, -1
Solve -3/2*p**4 - 45*p + 0 + 12*p**3 + 69/2*p**2 = 0 for p.
-3, 0, 1, 10
Let b(j) be the second derivative of -j**5/5 - 8*j**4/3 + 8*j**3/3 + 64*j**2 + 116*j - 4. Factor b(y).
-4*(y - 2)*(y + 2)*(y + 8)
Let b be 2/8*(16 - 36). Let g(a) = a**2 - 12*a + 62. Let t(h) = 2*h**2 - 22*h + 123. Let q(d) = b*g(d) + 2*t(d). Determine o so that q(o) = 0.
8
Let m = 2179/14 - 6257/42. Determine h so that -m*h - 1/3*h**2 - 19/3 = 0.
-19, -1
Let l = -13 + 19. Determine c, given that -l*c - 100*c**2 + 97*c**2 + 2*c**3 + c**3 = 0.
-1, 0, 2
Let s be (-13)/((-208)/(-40)) - (-475)/10. Let r(o) be the third derivative of -2/45*o**5 + 0*o - 64/27*o**3 - 4/9*o**4 + s*o**2 - 1/540*o**6 + 0. Factor r(n).
-2*(n + 4)**3/9
Let y be 9/30 + 1717/1010. Factor -1/3*q**y + 2 - 1/3*q.
-(q - 2)*(q + 3)/3
Factor 0*s + 0 - 384492*s**2 + 383418*s**3 + 3/4*s**5 + 4293/4*s**4.
3*s**2*(s - 1)*(s + 716)**2/4
Let s be (32/10*(-75)/30)/(-7). Let r(j) be the second derivative of s*j**2 + 0 + 0*j**3 + 8*j - 1/21*j**4. Suppose r(k) = 0. Calculate k.
-2, 2
Suppose -4/3 - 73782496*q**4 - 177848/3*q**2 + 54700816/3*q**5 + 10221272/3*q**3 + 459*q = 0. Calculate q.
1/86, 4
Let q = 443 - 424. Let j be 33/7 - (-16 + q). Factor 8/7 + j*x - 20/7*x**2.
-4*(x - 1)*(5*x + 2)/7
Let h(j) = j**3 + 5*j**2 + 3*j + 11. Let t be h(-4). Determine q so that t*q**2 - 20*q**4 - 1 - 10*q**3 + 1 + 15*q**4 = 0.
-3, 0, 1
Suppose -2/25*h**2 - 896/25 - 88/25*h = 0. Calculate h.
-28, -16
Let z(h) = h**3 - 31*h**2 + 43*h - 390. Let o be z(30). Let c(i) be the third derivative of 0*i - 5/8*i**4 + o - 19*i**2 - 1/12*i**5 + 10/3*i**3. Factor c(f).
-5*(f - 1)*(f + 4)
Let m(q) = q**3 - q**2 - q + 2. Suppose -4*s - 10 = -9*s. Let a be m(s). Find t such that -a*t**3 + 12*t**4 - 9*t**4 + 0*t**2 + 17*t**4 - 4*t**2 - 12*t**5 = 0.
-1/3, 0, 1
Let d = -62971 - -125943/2. Factor -6*m - d*m**2 - 18.
-(m + 6)**2/2
Let l(p) be the second derivative of 4 - 11/3*p**3 + 2*p**2 + 5*p - 13/6*p**4. Find z such that l(z) = 0.
-1, 2/13
Let w(o) be the first derivative of -9*o**5 + 39*o**4/4 + 2*o**3 + 2434. Solve w(z) = 0.
-2/15, 0, 1
Let d(v) be the first derivative of -5*v**3/12 - 1805*v**2/4 - 651605*v/4 + 999. Suppose d(g) = 0. Calculate g.
-361
Let i = 153 + -151. Factor -q - q - 4*q - q**i.
-q*(q + 6)
Suppose -11*z = -5 - 50. Suppose -4*w + z*w - 6 = 0. Factor -1 - g**4 - 2*g**4 + 4*g**3 - 4*g**4 - 6*g**2 + 4*g + w*g**4.
-(g - 1)**4
Let p(a) be the first derivative of -a**3/33 - 27*a**2/22 - 170*a/11 - 3507. Suppose p(y) = 0. What is y?
-17, -10
Let q(x) = -7*x**2 - 28*x - 39. Let w(j) be the first derivative of -2*j**3 - 14*j**2 - 37*j - 262. Let h(u) = -5*q(u) + 6*w(u). Factor h(g).
-(g + 1)*(g + 27)
Let d = 165 - 162. Find k, given that 44*k**d - 5*k - 86*k**3 + 47*k**3 = 0.
-1, 0, 1
Suppose -4*n - a + 51 = 0, 3*n = a - 8 + 41. Suppose h = 4*u + 18, 9*u = -4*h + 4*u - n. Factor -5*l**2 + 13*l**h - 6*l**2 - 2.
2*(l - 1)*(l + 1)
Let w(g) be the third derivative of 0*g**4 + 0*g**6 - 5/336*g**8 + 45*g**2 + 0 + 0*g + 0*g**3 - 1/21*g**7 + 0*g**5. Factor w(d).
-5*d**4*(d + 2)
Let j be -4 + 564/84 + 11. Determine m, given that -26/7*m**2 - 72/7 - 2/7*m**3 - j*m = 0.
-6, -1
Let -19 + 20 - 115 - 143*v + 108*v + v**2 = 0. Calculate v.
-3, 38
Let a(l) be the second derivative of -l**4/102 + l**3/51 + 210*l**2/17 - l - 54. Suppose a(o) = 0. What is o?
-14, 15
Let z(v) = -56*v**3 + 0 + 36501*v**4 + 0 - 36528*v**4 + 32*v**2. Let a(c) = 7*c**4 + 14*c**3 - 8*c**2. Let r(j) = 9*a(j) + 2*z(j). Factor r(s).
s**2*(s + 2)*(9*s - 4)
Let t(h) be the first derivative of 0*h**2 + 1/84*h**4 + 2*h + 2/21*h**3 + 12. Let n(q) be the first derivative of t(q). Suppose n(d) = 0. Calculate d.
-4, 0
Find z, given that -9/2*z**2 + 0 - 3/2*z**3 + 0*z = 0.
-3, 0
Find p, given that -9*p**4 - 13*p**5 - 2 + 38*p - 7*p**4 + 11*p**5 - 8*p**2 - 8 + 34 - 36*p**3 = 0.
-4, -3, -1, 1
Let t(f) be the third derivative of f**5/78 - 3127*f**4/156 + 1250*f**3/39 - 439*f**2. Solve t(q) = 0.
2/5, 625
Let t be (19/((-342)/(-18)))/(0 + 3/6). Find a, given that 17/5*a**4 + 39/5*a**t + 37/5*a**3 + 4/5 + 4*a + 3/5*a**5 = 0.
-2, -1, -2/3
Let x(v) = 4*v**5 + 14*v**4 - 9*v**3 + 14*v**2 - 2*v - 3. Let q(i) = -7*i**5 - 24*i**4 + 19*i**3 - 28*i**2 + 5*i + 5. Let m(k) = 3*q(k) + 5*x(k). Factor m(g).
-g*(g - 1)**3*(g + 5)
Suppose 4*j = -4*q + 8, 3*q + q + 2*j - 12 = 0. Let h = -18/19 + 147/95. Factor 3/5*v**3 + 1/5*v**q - h*v + 1/5*v**2 - 2/5.
(v - 1)*(v + 1)**2*(v + 2)/5
Let y(c) = 2*c**2 - 5716*c + 2039188. Let i(n) = 15*n**2 - 45730*n + 16313506. Let z(m) = 2*i(m) - 17*y(m). Factor z(t).
-4*(t - 714)**2
Let v(h) be the first derivative of -h**6/6 - 10*h**5 - 339*h**4/2 - 2120*h**3/3 + 6479*h**2/2 - 3630*h + 735. Solve v(a) = 0.
-30, -11, 1
Let x be (-4)/18 - (-3295)/45. Let c = -70 + x. Find i such that -i**3 - 4*i**3 + 2*i**3 + 20*i**2 - 28*i - i**c + 12 = 0.
1, 3
Let o(h) be the second derivative of h**7/21 - 91*h**6/10 + 133*h**5/20 + 409*h**4/12 - 45*h**3/2 - 68*h**2 + 1819*h. Determine u so that o(u) = 0.
-1, -1/2, 1, 136
Let a(o) be the first derivative of -5*o**6/6 + 22*o**5 - 385*o**4/2 + 560*o**3 + 135*o**2/2 - 2430*o + 1462. Let a(s) = 0. Calculate s.
-1, 2, 3, 9
Let l be ((-5)/3 + 1)*(-2)/3342. Let c = 60194/95247 - l. Solve -2/19*b**2 + c - 10/19*b = 0.
-6, 1
Suppose 0 = -2*w + 3*t - 4, -3*w - 2*t + 14 + 6 = 0. Suppose -2*d + 2*s + 22 = 2, -w*s = -20. Factor 5*a**2 - d*a + 3 + 5*a**2 - 3.
5*a*(2*a - 3)
Let y = 183278/7 - 26180. Factor 20/7*u - 2/7*u**2 - y.
-2*(u - 9)*(u - 1)/7
Suppose -717409/3 - 1694/3*n - 1/3*n**2 = 0. Calculate n.
-847
Su