1/896*m**8 - 23*m**2 - 3/10*m**6 - 153/560*m**7 + 17/20*m**5 + 3/4*m**4 - m**3 + 0. Suppose g(j) = 0. Calculate j.
-2/3, 2/9, 1, 2
Let f be -2*45/(-36)*(-1 + (-216)/(-80)). Factor 1/4*i**2 + 0 + f*i.
i*(i + 17)/4
Let z(h) be the third derivative of h**7/525 - 14*h**6/75 - 19*h**5/50 - 1156*h**2. Factor z(j).
2*j**2*(j - 57)*(j + 1)/5
Determine y, given that -1/9*y**4 - 6*y**3 + 24*y - 220/9 + 59/9*y**2 = 0.
-55, -2, 1, 2
Let u(g) be the third derivative of -g**6/8 + 169*g**5/12 - 35*g**4/3 - 20*g**2 - 38*g. Find w, given that u(w) = 0.
0, 1/3, 56
Let z(w) = -8*w**3 + 31*w**2 - 96*w + 115. Let a(u) = -3*u**3 + 11*u**2 - 32*u + 38. Let m(k) = -17*a(k) + 6*z(k). Suppose m(i) = 0. What is i?
-11/3, 2
Let j(v) be the first derivative of -v**4/38 - 640*v**3/57 - 319*v**2/19 - 647. Let j(o) = 0. Calculate o.
-319, -1, 0
Suppose -406*t + 30 = -409*t. Let y be 5*365/175 + t. Factor -1/7*s**2 + y*s - 2/7.
-(s - 2)*(s - 1)/7
Let x(n) = -12*n**4 + 98*n**3 - 240*n**2 - 384*n - 17. Let h(s) = -2*s**4 + 16*s**3 - 40*s**2 - 64*s - 3. Let w(i) = 34*h(i) - 6*x(i). Factor w(t).
4*t*(t - 8)*(t - 4)*(t + 1)
Find l such that 840*l - 2643*l**2 - 1723*l**5 - 550*l**4 - 1307*l**2 + 3371*l**5 + 3695*l**3 - 1683*l**5 = 0.
-21, 0, 2/7, 1, 4
Let v = -928 - -1811/2. Let z = -89/4 - v. Factor 1/4*o**2 - z*o**3 + 0 + 0*o.
-o**2*(o - 1)/4
Let l(d) = -7*d + 79. Let r be 8/1 + (11/1 - 8). Let x be l(r). Factor -49/4 - 7/2*m - 1/4*m**x.
-(m + 7)**2/4
Let j(m) be the third derivative of 0 + 8/21*m**3 + 49*m**2 - 4/105*m**5 + 1/420*m**6 + 0*m - 1/84*m**4. Find a, given that j(a) = 0.
-1, 1, 8
Let v(r) = -2*r**2 - 31*r + 134. Let y be v(7). Let s = y - -181. Determine n so that s*n**2 + 0 + 0*n**3 + 0*n - 4/5*n**4 - 4/5*n**5 = 0.
-1, 0
Let c(d) be the second derivative of d**6/5 + 17*d**5/5 - 343*d**4/6 - 934*d**3/3 - 272*d**2 + 9790*d. Suppose c(a) = 0. Calculate a.
-17, -2, -1/3, 8
Suppose -33 = 3*z + 30. Let d(s) = -s**2 + s**2 - 3 - s**2 + 4. Let b(c) = -3*c**2 + c + 2. Let x(n) = z*d(n) + 6*b(n). Let x(h) = 0. Calculate h.
-3, 1
Let q(n) be the second derivative of -n**4 + 1510*n**3/3 - 1004*n**2 - 149*n - 3. Factor q(a).
-4*(a - 251)*(3*a - 2)
Let h(j) be the second derivative of 3*j**5/140 + 37*j**4/14 + 1333*j**3/14 + 2385*j. Factor h(a).
3*a*(a + 31)*(a + 43)/7
Let c(p) = 3*p**3 - 5*p - 1. Let f(s) = 17*s**3 - 41*s**2 + 650*s + 31206. Let a(z) = 6*c(z) - f(z). Factor a(b).
(b - 27)*(b + 34)**2
Let w(v) be the third derivative of v**7/70 + 35*v**6/24 + 29*v**5/30 + 3*v**2 - 195*v. Determine c so that w(c) = 0.
-58, -1/3, 0
Let k = -30879/110 + 16402/55. Find t such that -1 + 37/2*t**2 + k*t = 0.
-1, 2/37
Let v = 50 - 48. Suppose -b = -z - v, 5*b - 10 = -2*z - 0. Let -3*u**2 - 2*u**b + u**2 + 4*u**4 + 4*u**3 - 4*u = 0. What is u?
-1, 0, 1
Let k(f) be the second derivative of -f**4/4 - 35*f**3 + 1617*f**2/2 - 9945*f. Factor k(j).
-3*(j - 7)*(j + 77)
Let a(h) = h**3 + 21*h**2 - 24*h - 38. Let n be a(-22). Let 15*l - l - 8 + 4*l**3 + n*l - 16*l**2 = 0. Calculate l.
1, 2
Let t(n) be the first derivative of n**4 - 40*n**3/3 + 64*n**2 - 128*n - 478. Factor t(h).
4*(h - 4)**2*(h - 2)
Let c(w) = -604*w - 12078. Let i be c(-20). Factor 2/19*o**3 + 0*o + 0 - 4/19*o**i.
2*o**2*(o - 2)/19
Let g = 108800 - 108798. Factor -2/11*m**g - 48/11 - 28/11*m.
-2*(m + 2)*(m + 12)/11
Let z(d) be the third derivative of -d**5/30 - 103*d**4/3 + 363*d**2 - 12. Let z(j) = 0. What is j?
-412, 0
Let t(v) be the third derivative of v**5/15 - 953*v**4/6 + 1904*v**3/3 - 5166*v**2. Factor t(p).
4*(p - 952)*(p - 1)
Factor 0*s + 0 + 7776*s**2 + 7920*s**3 + 434/3*s**4 + 2/3*s**5.
2*s**2*(s + 1)*(s + 108)**2/3
Let a(z) be the first derivative of z**5 - 165*z**4/4 + 150*z**3 - 12185. Determine p so that a(p) = 0.
0, 3, 30
Let b be ((-35)/7 - -133) + 0. Suppose 55*i - b + 12*i + 33*i + 628 + 5*i**2 = 0. What is i?
-10
Let a(u) be the first derivative of 5/3*u**3 - 5/8*u**4 - 20 - 5/24*u**6 + 15/8*u**2 - u**5 + 0*u. Let a(s) = 0. What is s?
-3, -1, 0, 1
Let f(u) be the third derivative of -u**6/320 + 19*u**5/160 + 15*u**4/8 - 2*u**2 - 3*u + 1044. Solve f(o) = 0.
-5, 0, 24
Let n(k) be the first derivative of 90 + 7/10*k**4 - 6/25*k**5 - 2/3*k**3 + 1/5*k**2 + 0*k. Let n(o) = 0. What is o?
0, 1/3, 1
Let k(n) be the second derivative of n**5/180 - 19*n**4/18 + 722*n**3/9 - 31*n**2 - 87*n. Let h(d) be the first derivative of k(d). Find r such that h(r) = 0.
38
Let t = 2696 - 48523/18. Let s(b) be the third derivative of 0*b**3 - 1/72*b**6 + 0 - 1/9*b**5 - 41*b**2 + t*b**4 + 0*b + 1/126*b**7. Solve s(c) = 0.
-2, 0, 1, 2
Let a(x) = 6*x - 44. Let d be a(8). Suppose 15 = d*z - 5*u, -z + 2*u + 18 = 3*z. Factor 0*v**4 + 0 + 0*v**2 - 1/3*v**z + 0*v + 1/3*v**3.
-v**3*(v - 1)*(v + 1)/3
Let t be ((-300)/(-5100))/(6/204). Factor 7/3*k - 10/3 - 1/3*k**t.
-(k - 5)*(k - 2)/3
Let r be 3/(-132) + 6726/1672. Let b(y) be the third derivative of 0 + 13*y**2 + 1/20*y**5 + 0*y**3 - 1/16*y**r + 0*y. Factor b(g).
3*g*(2*g - 1)/2
Let l = -7055 + 7055. Let i(b) be the third derivative of 1/60*b**5 + 0 + l*b + 1/60*b**6 + 0*b**7 - 1/672*b**8 - 1/6*b**3 - 1/16*b**4 - 20*b**2. Factor i(g).
-(g - 2)*(g - 1)*(g + 1)**3/2
Factor 1673*x + 74*x**2 - 1358*x + 405 + 5*x**3 + x**2.
5*(x + 3)**2*(x + 9)
Let y(k) be the third derivative of k**6/160 - k**5/16 - 3*k**4/2 + 27*k**3/2 - 4*k**2 - 11*k. Suppose y(u) = 0. Calculate u.
-6, 2, 9
Let w(v) be the second derivative of v**7/84 - 13*v**6/120 - 21*v**5/80 + 103*v**4/48 - 29*v**3/24 - 21*v**2/4 + 2380*v. Let w(d) = 0. Calculate d.
-3, -1/2, 1, 2, 7
Let g(p) be the second derivative of p**4/42 + 1138*p**3/7 + 2913849*p**2/7 - 5880*p. Solve g(i) = 0 for i.
-1707
Find h such that -207*h - 144 - 106 + 15*h**2 - 157 + 563 = 0.
4/5, 13
Let z be ((-759)/(-51) - (51 - 36)) + (-69)/(-153). Let -1/2*i**4 + z*i**2 - 19/6*i**3 - 4 + 22/3*i = 0. What is i?
-6, -2, 2/3, 1
Suppose 1722*v + 294 = 1708*v. Let c be (2/v)/((-9)/(-18 + 45)). Suppose c*i**3 - 4/7*i**2 - 6/7*i + 0 = 0. Calculate i.
-1, 0, 3
Let o(b) = 77*b**2 - 690*b + 65. Let q(a) = -32*a**2 + 345*a - 32. Let y(t) = 4*o(t) + 7*q(t). Factor y(h).
3*(h - 4)*(28*h - 3)
Let u(h) = 36*h**4 - 44*h**3 - 8*h**2 + 16*h + 8. Let o(j) = j**3 + 1. Let p(q) = -4*q - 6 + q + 4*q. Let z be p(7). Let k(f) = z*u(f) - 4*o(f). Factor k(y).
4*(y - 1)**2*(3*y + 1)**2
Let n(z) = -4*z**3 - 70*z**2 + 588*z + 648. Let t(v) = -27*v + 52*v - 27*v + v**3. Let c(a) = -n(a) - 6*t(a). Find l, given that c(l) = 0.
-1, 18
Let n(x) = 11*x**3 + 765*x**2 + 32403*x + 233277. Let h(y) = 2*y**3 + y - 1. Let q(d) = 3*h(d) - n(d). Factor q(u).
-5*(u + 9)*(u + 72)**2
Suppose -46*t + 34 = -58. Find c such that 4*c**3 - 10086*c + 25*c**t + 10052*c + 12 - 7*c**2 = 0.
-6, 1/2, 1
Let y(l) be the third derivative of -l**8/224 + 11*l**7/10 - 1443*l**6/20 - 1521*l**5/5 + 245*l**2 - 3. Factor y(f).
-3*f**2*(f - 78)**2*(f + 2)/2
Suppose 2184 = -0*c + 6*c. Let p be (-20)/90 - c/(-18). Let -40*s**3 + 9 - 40*s**2 - 15 - p*s**4 + 2 - 4*s**5 - 20*s = 0. Calculate s.
-1
Let y(d) be the second derivative of -d**5/80 + 8*d**4/3 - 512*d**3/3 - 263*d + 2. Solve y(o) = 0 for o.
0, 64
Let g(c) = 5*c**3 + 21*c**2 - 49*c - 67. Let n(s) = -42*s**3 - 168*s**2 + 392*s + 535. Let u(l) = -17*g(l) - 2*n(l). Determine v, given that u(v) = 0.
-23, -1, 3
Let g(o) be the first derivative of 36/19*o + 194 + 6/95*o**5 + 22/57*o**3 - 61/19*o**2 + 29/38*o**4. Solve g(k) = 0.
-9, -2, 1/3, 1
Determine z so that 0*z**2 + 1/5*z**5 - 11/5*z**4 + 0*z + 0 + 24/5*z**3 = 0.
0, 3, 8
Let u be ((-14)/26)/((-4921)/63973). Let 12 + 1/3*j**4 - 1/3*j**3 - 17/3*j**2 + u*j = 0. Calculate j.
-4, -1, 3
Suppose -49*s = -5*g - 46*s - 2, g - 10 = -2*s. Let w(v) be the second derivative of -3/10*v**3 + 3/10*v**g - 1/20*v**4 + 11*v + 0 + 9/100*v**5. Factor w(h).
3*(h - 1)*(h + 1)*(3*h - 1)/5
Suppose 42*f - 46*f - 22 = 3*i, -40 = 5*i + 5*f. Let q be (7909/462 + -17)*(-8)/i. Let 0 - q*s**2 - 2/21*s**3 + 2/21*s + 2/21*s**4 = 0. What is s?
-1, 0, 1
Let y(h) = 250*h**2 - 40*h - 36. Let i(k) = -115*k**2 + 19*k + 18. Let t(s) = 5*i(s) + 2*y(s). Determine p, given that t(p) = 0.
-2/5, 3/5
Suppose -4*q = -2*m + 12, -28*m + 31*m + 3*q - 9 = 0. Let y(n) be the second derivative of 0 - 9/2*n**2 + 17/4*n**3 - 5/8*n**m - 6*n. Let y(r) = 0. Calculate r.
2/5, 3
Suppose 4*w 