etermine l so that 8/3*l - 6*l**2 + 0*l**n + 8 + 2/3*l**4 = 0.
-3, -1, 2
Let r be 1*(602/210 + (-74)/(-555)). Suppose 0 - 8/7*n**2 + 4/7*n**r + 8/7*n**4 + 2/7*n**5 - 6/7*n = 0. Calculate n.
-3, -1, 0, 1
Let p(s) = 66*s - 64. Let t(z) = z**2 + 11*z + 31. Let v be t(-5). Let r be p(v). Factor 2/19*q**r - 8/19*q - 10/19.
2*(q - 5)*(q + 1)/19
Suppose 9 - 1/8*v**3 + 3/4*v - 7/8*v**2 = 0. What is v?
-6, -4, 3
Let j(u) be the second derivative of -u**8/1344 + u**7/1260 + 4*u**4 + 88*u. Let b(q) be the third derivative of j(q). Solve b(y) = 0.
0, 2/5
Let s = 6/7 + -40/63. Let d(o) = -12*o - 20. Let i be d(-2). Factor -2/3*v - s*v**3 + 10/9*v**2 - 2/9*v**i + 0.
-2*v*(v - 1)**2*(v + 3)/9
Let u(c) be the first derivative of -95*c**4/4 - 865*c**3/3 - 45*c**2 + 433. Factor u(q).
-5*q*(q + 9)*(19*q + 2)
Let c(k) be the third derivative of 3*k**7/560 - 31*k**6/80 - 21*k**5/40 + 3360*k**2. Factor c(h).
3*h**2*(h - 42)*(3*h + 2)/8
Let s(n) be the first derivative of 2/3*n**3 - 14*n**2 - 30*n + 26. Suppose s(z) = 0. What is z?
-1, 15
Let z(h) be the first derivative of -h**6/90 - h**5/6 + h**4 + 29*h**3 + 2*h - 60. Let v(s) be the third derivative of z(s). Factor v(i).
-4*(i - 1)*(i + 6)
Find z, given that 6208/11*z**2 + 250/11*z**4 + 2366/11*z**3 + 8/11*z**5 - 6784/11*z - 2048/11 = 0.
-16, -8, -1/4, 1
Suppose -4*v = 3*z - 124, -24*z + 23*z + 52 = 4*v. Suppose -4*h - z = -44. Suppose 2*l**2 - h*l + 2/3 - 2/3*l**3 = 0. What is l?
1
Let z(i) be the second derivative of 5*i**7/84 + 61*i**6/30 + 43*i**5/40 - 61*i**4/12 - 4*i**3 - 9*i - 44. Solve z(k) = 0.
-24, -1, -2/5, 0, 1
Suppose -m + 3*m + 50 = 0. Let f = m - -33. Suppose -12*g**2 + 0*g**3 + g**3 - 10*g**3 - f*g - 2*g**4 - 2 + g**3 = 0. What is g?
-1
Let y(t) be the first derivative of -7/16*t**4 - 43 - 83/8*t**2 - 6*t**3 - 9/2*t. Find v such that y(v) = 0.
-9, -1, -2/7
Let i(g) be the first derivative of -8/3*g + 2/9*g**3 + g**2 - 57. Solve i(v) = 0 for v.
-4, 1
Let w(f) = -3*f**3 + f**2 + 22*f**4 + 5*f**4 + 5*f + 3*f + 10*f**4 - 38*f**4. Let r = -10 - -15. Let a(c) = -c. Let v(y) = r*a(y) + w(y). Factor v(g).
-g*(g - 1)*(g + 1)*(g + 3)
Let l(a) be the first derivative of 5*a**6/2 - 19*a**5 + 105*a**4/4 - 25*a**3/3 - 732. Let l(o) = 0. What is o?
0, 1/3, 1, 5
Let u(b) be the third derivative of -1/27*b**3 + 4/135*b**6 + 1/12*b**4 - 4/45*b**5 + 0 - 3*b**2 + 15*b. Suppose u(o) = 0. Calculate o.
1/4, 1
What is b in 48 + 264*b**2 + 2*b**4 - 848*b**3 + 940*b**3 + 38 + 260*b = 0?
-43, -1
Let l be (-6)/((0 + 1 - -5)/(80 - 83)). Factor -24/7*z - 3/7*z**l + 48/7 - 3*z**2.
-3*(z - 1)*(z + 4)**2/7
Let r be ((-6)/21)/(3/(-49))*(-8142)/(-9499). Find v, given that 2/3*v - 2/9*v**2 + 2/9*v**r + 0 - 2/3*v**3 = 0.
-1, 0, 1, 3
Suppose 0 = -4*f + 4, -5*v + 3 = -v - 5*f. Factor -15 + 27*z - 62*z - z**v + 27*z + 0*z**2.
-(z + 3)*(z + 5)
Let w(b) = -2*b**2 - 2*b + 56. Let i be w(0). Suppose i = -2*c + 10*c. Let -6*a**3 + c*a + 119 + 3*a**4 - 122 - a = 0. What is a?
-1, 1
Solve 642/7*j - 3/7*j**2 + 0 = 0 for j.
0, 214
Let s(t) be the second derivative of -t**7/294 + t**6/105 + t**5/70 - t**4/21 - t**3/42 + t**2/7 - 3*t + 108. Solve s(u) = 0 for u.
-1, 1, 2
Suppose 2*f = -3*t + 183, 1 = -3*t - 4*f + 190. Factor -36*b - 3*b**4 - 13*b**2 - 8*b - 21 - t*b**2 - 22*b + 0*b**4 - 30*b**3.
-3*(b + 1)**3*(b + 7)
Let b(w) be the second derivative of w**5/10 + 371*w**4/6 + 368*w**3/3 - 740*w**2 - 3*w - 872. Factor b(n).
2*(n - 1)*(n + 2)*(n + 370)
Let i = -20905 - -41843/2. Factor -15 - i*k - 3/2*k**2.
-3*(k + 1)*(k + 10)/2
Suppose 10*g = 5295 - 3615. Let y be 140/g + 147/18. Factor 3/8*r**2 - y*r + 54.
3*(r - 12)**2/8
Let -3/7*d**3 + 1098075/7 - 1094445/7*d - 3627/7*d**2 = 0. Calculate d.
-605, 1
Solve 8*j - 2*j**5 + 118215*j**3 - 8*j - 118207*j**3 = 0.
-2, 0, 2
Let m = -801 + 861. Let x be 15/(-18)*6*(-8)/m. Factor 0*k + 0*k**2 - x*k**3 + 0 - 4/3*k**5 - 3*k**4.
-k**3*(k + 2)*(4*k + 1)/3
Let p(j) = -j**5 + j**3 - j**2 - 2*j + 1. Let z(r) = r**5 + 48*r**4 - 875*r**3 + 7508*r**2 - 30776*r + 48598. Let k(o) = 4*p(o) + 2*z(o). Factor k(u).
-2*(u - 15)**2*(u - 6)**3
Let a = -456 + 778. Solve -330*u + u**2 + 672*u - a*u = 0.
-20, 0
Let i(n) be the second derivative of -n**7/84 + n**6/30 + 41*n**5/10 + 455*n**4/12 + 925*n**3/12 - 500*n**2 + 32*n + 3. Factor i(j).
-(j - 16)*(j - 1)*(j + 5)**3/2
Let x be (-100)/90*(27 - (-2679)/(-95)). Factor -4/3 + x*f**4 - 8/3*f + 8/3*f**3 + 0*f**2.
4*(f - 1)*(f + 1)**3/3
Let g(o) = 2*o - 19. Let a be g(11). Suppose -2*p - 2*q = -2970, -q + 8799 = 5*p + 1362. Factor -1491*j**3 + 54*j**2 - 324*j + 101 + p*j**a + 547.
-3*(j - 6)**3
Let w be (-561)/77 + -10*(-10)/12 + 78/117. Factor -1/7*c**3 + 13/7*c + 0*c**2 - w.
-(c - 3)*(c - 1)*(c + 4)/7
Let o = -16 - -19. Suppose 6*u + 46 = q + u, 0 = 4*q + o*u - 138. Suppose q*k - 4/3*k**5 - 108 + 44/3*k**4 - 56*k**3 + 72*k**2 = 0. Calculate k.
-1, 3
Let h(n) be the second derivative of n**4/28 - 10*n**3/7 + 153*n**2/14 - 5*n + 168. Let h(u) = 0. Calculate u.
3, 17
Let q(x) = -6 + 16*x**2 + 2 - 20*x**2 - 2 - 2*x**2 - 4*x. Let f(n) = 7*n**2 + 3*n + 6. Let w = 11 + -16. Let l(a) = w*q(a) - 4*f(a). What is g in l(g) = 0?
-3, -1
Factor 20/13 + 2794/13*b + 558/13*b**2.
2*(b + 5)*(279*b + 2)/13
Factor 0*n + 0*n**2 - 3/2*n**5 - 6*n**4 + 0 + 18*n**3.
-3*n**3*(n - 2)*(n + 6)/2
Let i(z) = z**3 - 4*z**2 + 3*z + 3. Let g be i(3). Let o be ((-4)/(-3) - 1) + 60/36. Determine u so that -20*u + 12*u**3 - 16*u**o + 8 + g*u**2 - 3*u**2 = 0.
-1, 1/3, 2
Let b(a) be the first derivative of a**5/25 + 18*a**4/5 + 197*a**3/5 + 764*a**2/5 + 1008*a/5 + 224. Determine t, given that b(t) = 0.
-63, -4, -1
Let x(s) be the third derivative of 91*s**2 - 1/6*s**5 + 0*s**4 + 0 + 0*s**3 + 1/24*s**6 + 0*s. Factor x(a).
5*a**2*(a - 2)
Let h(l) = l**3 + 8*l**2 - 20*l + 11. Let g be h(-10). Suppose 0 = -4*z - m + g, m + 13 = 5*z - z. What is x in 1/7 - 1/7*x - 1/7*x**2 + 1/7*x**z = 0?
-1, 1
Let t(r) be the third derivative of r**6/180 + 13*r**5/90 + 10*r**4/9 - 10020*r**2. Let t(s) = 0. Calculate s.
-8, -5, 0
Let s = -423139 - -423141. Find x such that -2/11*x**s + 58/11*x - 56/11 = 0.
1, 28
Let x(p) be the first derivative of 5*p**4/12 + 100*p**3/9 + 95*p**2/6 - 1713. Let x(m) = 0. Calculate m.
-19, -1, 0
Let m(w) = w**2 + 13*w - 71. Let p be m(-21). Let u be p + -95 - -2*187/8. Factor u*v**2 + 0 + 15/4*v**4 - 45/2*v - 25*v**3.
5*v*(v - 3)**2*(3*v - 2)/4
Let c = 6/620333 - -354470/620333. Factor 0 + c*u**3 - 36/7*u + 32/7*u**2.
4*u*(u - 1)*(u + 9)/7
Solve 0 + 3/5*f**3 - 324/5*f + 69/5*f**2 = 0 for f.
-27, 0, 4
Let p(d) be the first derivative of -2*d**5/5 - 20*d**4 - 506*d**3/3 + 3174*d**2 + 3882. Find m, given that p(m) = 0.
-23, 0, 6
Let d = 276 + -282. Let k(l) = 26*l + 159. Let w be k(d). Find o such that -3/2*o**2 - 9/2*o - 3/2*o**4 + 9/2*o**3 + w = 0.
-1, 1, 2
Let v(j) be the third derivative of -j**5/60 - 11*j**4/6 + 15*j**3/2 - 3*j**2 + 5*j - 1. What is z in v(z) = 0?
-45, 1
Let j(t) be the third derivative of 0*t + 0*t**3 - 2/105*t**7 + 0 + 1/84*t**8 - 1/15*t**6 + 0*t**5 - 211*t**2 + 0*t**4. Factor j(l).
4*l**3*(l - 2)*(l + 1)
Determine c so that 60/11*c**4 + 0 - 86/11*c**3 - 8/11*c + 48/11*c**2 - 14/11*c**5 = 0.
0, 2/7, 1, 2
Suppose 0 = -27*m - 5*j - 67 + 141, -4*j + 26 = 5*m. Suppose -16/3 + 28/3*k + 8/3*k**m = 0. Calculate k.
-4, 1/2
Suppose -4*l + 7 = 307. Let s = -71 - l. Factor -40 - 3*q - 5*q - 12*q + 150*q**2 - 18*q**3 + 25*q**s - 97*q**3.
5*(q - 2)**2*(q - 1)*(5*q + 2)
Factor 1/9*q**4 + 72 - 11/3*q**3 + 27*q**2 - 75*q.
(q - 24)*(q - 3)**3/9
Let t(o) be the second derivative of -97*o**4/6 + 487*o**3/15 - 2*o**2/5 + 10236*o. Factor t(a).
-2*(a - 1)*(485*a - 2)/5
Let n(s) be the first derivative of 6*s**4 + 95 - 18*s**3 + 81*s - 3/5*s**5 + 0*s**2. Factor n(d).
-3*(d - 3)**3*(d + 1)
Let t(q) = -238*q**3 - 744*q**2 + 1240*q - 486. Let l(i) = -75*i**3 - 248*i**2 + 413*i - 162. Let b(o) = -19*l(o) + 6*t(o). Factor b(x).
-(x - 81)*(x - 1)*(3*x - 2)
Let h(n) = 2*n**3 - 49*n**2 - 5*n + 46. Let c(u) be the first derivative of u**4/2 - 50*u**3/3 - 3*u**2 + 46*u + 81. Let o(p) = -3*c(p) + 4*h(p). Factor o(f).
2*(f - 23)*(f - 1)*(f + 1)
Let i(x) = -7*x - 341. Let g be (-21)/(-1)*(306/(-27) - -9). Let s be i(g). Factor -4/3*k**s - 16*k - 48.
-4*(k + 6)**2/3
Let 918/5*l + l**2 - 368/5 = 0. What is l?
-184, 2/5
