08/16)/(4/16). Let 86*u**3 - 20*u**2 - r*u + 42*u - 81*u**3 = 0. Calculate u.
0, 1, 3
Let n(g) be the third derivative of 0*g**4 + 0*g**3 + 19*g**2 + 0*g - 1/525*g**7 - 1/150*g**6 + 3 + 0*g**5. Find o such that n(o) = 0.
-2, 0
Let x be (464/(-11832))/((-52)/663). Find i, given that -x - i**2 + 1/4*i**3 + 5/4*i = 0.
1, 2
Suppose -28*n = -16*n - 24. Suppose -w**2 + 3*w**n + 3*w**2 + 40 + 38*w + 7*w = 0. What is w?
-8, -1
Let h(d) be the third derivative of 2*d**7/105 - 13*d**6/30 + 4*d**5/5 - 2*d**2 - 202*d. Factor h(b).
4*b**2*(b - 12)*(b - 1)
Let l(s) be the second derivative of s**4/48 + 13*s**3/24 - 7*s**2/4 + 224*s. Factor l(p).
(p - 1)*(p + 14)/4
Let y(d) be the second derivative of 1/102*d**4 + 8*d + 361/17*d**2 - 5 + 38/51*d**3. Let y(r) = 0. Calculate r.
-19
Let k(z) be the third derivative of z**7/42 - 5*z**6/6 + 41*z**5/6 + 195*z**4/2 - 4725*z**3/2 - 8420*z**2. Factor k(j).
5*(j - 9)**2*(j - 7)*(j + 5)
Factor 124/3*c - 2/9*c**3 - 370/9*c**2 + 0.
-2*c*(c - 1)*(c + 186)/9
Suppose 11*a = 83 - 50. Let s be ((-45)/300)/((-1)/5*a). Solve -1/4 + 1/4*z**3 + s*z**2 - 1/4*z = 0 for z.
-1, 1
Let n be 176/(-66) - (-19)/6. Let z(y) = -y**2 + 20*y. Let c be z(20). Find o, given that 1/4*o**4 + n*o**3 - 3/4*o**2 + c + 0*o = 0.
-3, 0, 1
Suppose -3*n = -4*x - 85, n + 30 = -3*x + 2*x. Let a = 26 + x. Factor 6*i**3 - a + 0*i**4 - 22*i + 6*i**2 + 7 - 2*i**4 + 6.
-2*(i - 3)*(i - 1)**2*(i + 2)
Let c(a) be the first derivative of -68*a**3 + 677*a**2/10 + 2*a/5 - 1705. Solve c(x) = 0 for x.
-1/340, 2/3
Let g(f) = 15*f**3 - 145*f**2 + 5*f + 5. Let o(x) = -8*x**3 + 73*x**2 - 3*x - 3. Let w = 110 + -115. Let u(m) = w*o(m) - 3*g(m). Factor u(a).
-5*a**2*(a - 14)
Let b(j) be the first derivative of 0*j - 1/160*j**5 - 10 - 1/3*j**3 + 0*j**4 + 1/1440*j**6 + 0*j**2. Let t(u) be the third derivative of b(u). Factor t(y).
y*(y - 3)/4
Let a be -9*(0 + 3)/9 + 29. Let h be (-4*5)/(a/(-13)). Factor 2*k**3 - h*k**3 - 4*k**2 - 2*k**4 + 0*k**3 - 2*k**4.
-4*k**2*(k + 1)**2
Let h(r) = 63*r**3 - 81*r**2 - 123*r + 21. Let o(k) = -63*k**3 + 84*k**2 + 123*k - 24. Let w(v) = 6*h(v) + 5*o(v). Factor w(j).
3*(j - 2)*(j + 1)*(21*j - 1)
Find w, given that 424/3*w + 304/3*w**2 - 2*w**4 - 320/9 - 698/9*w**3 = 0.
-40, -1, 2/9, 2
Suppose 29*s = 28*s + 1. Suppose -4*h + 23 = 5*a, 2*a - 5*h = -0*a + 29. Let -s - 10*m - 9 - a + 5*m**2 + 2 = 0. What is m?
-1, 3
Let f(h) be the third derivative of 1/210*h**5 + 65*h**2 + 1/1176*h**8 + 0*h + 0 - 1/420*h**6 + 0*h**3 - 1/735*h**7 + 0*h**4. Factor f(o).
2*o**2*(o - 1)**2*(o + 1)/7
Suppose 3*t + 10 - 19 = 0. Suppose 4 = -3*w - 3*k + 1, -k + t = 3*w. Factor -4*c - 8*c**2 - 13*c**3 + 0*c**4 - 4*c**4 - 4*c**w + c**3.
-4*c*(c + 1)**3
Let o = 20 - 19. Let a be (-1 + -1)/(-2) + o. Factor -4/3*b + 2/3*b**a - 2.
2*(b - 3)*(b + 1)/3
Factor -1008*u**2 + 31*u**4 + 1944*u + 76*u**3 - 19*u**4 + 3740*u - 14*u**4 - 11662.
-2*(u - 17)*(u - 7)**3
Let a(o) be the first derivative of 32*o**3 + 2*o**2 - 125*o**5 + 0*o + 525/4*o**4 + 135. Let a(w) = 0. What is w?
-2/25, 0, 1
Let m(o) be the first derivative of -7*o**6/24 - 52*o**5/5 - 83*o**4/4 + 28*o**3/3 + 1691. Solve m(y) = 0.
-28, -2, 0, 2/7
Let u(n) be the second derivative of 7/10*n**5 + 11 - 28/3*n**3 + n + 1/3*n**4 - 8*n**2. Suppose u(l) = 0. Calculate l.
-2, -2/7, 2
Let k = 45499/19866 + -13/2838. Find i, given that 2/7*i**5 + 2/7*i - 8/7 + k*i**2 - 4/7*i**3 - 8/7*i**4 = 0.
-1, 1, 4
Factor 2/7*l**4 + 36/7*l**3 + 192/7 + 24*l**2 + 304/7*l.
2*(l + 2)**3*(l + 12)/7
Suppose 4*v = 14760 - 14760. Let g(b) be the second derivative of 11*b + 0*b**4 + 0 - 16/27*b**3 + 1/63*b**7 + v*b**2 + 4/15*b**5 + 16/135*b**6. Factor g(l).
2*l*(l + 2)**3*(3*l - 2)/9
Determine t, given that 210/13*t**3 + 586/13*t**2 + 320/13*t - 58/13*t**4 - 2/13*t**5 + 0 = 0.
-32, -1, 0, 5
Suppose -11*a + 2109 = -13*a + 3*m, 0 = -5*a - 2*m - 5225. Let o = a + 1049. Let 3 + 4*q**3 - 5/2*q - 3/2*q**5 + 4*q**4 - 7*q**o = 0. Calculate q.
-1, 2/3, 1, 3
Let l(a) be the first derivative of -a**5/3 + 7*a**4/6 + 8*a**3/3 - 7*a**2/3 - 19*a/3 + 1786. Determine k, given that l(k) = 0.
-1, 1, 19/5
Factor 5*s**4 + 7*s**4 - 34*s + 28784*s**3 + 290*s + 5*s**5 - 192*s**2 - 28864*s**3 - s**5.
4*s*(s - 4)*(s - 1)*(s + 4)**2
Let d be -2 + (-11)/(-2)*744/(-682) + 8. Factor d*g - g**2 + 4/3 + 1/3*g**3.
(g - 2)**2*(g + 1)/3
Let z(l) = l**2 + 19*l - 17. Let o be z(-20). Let t be (o/(-3))/((-11)/(88/40)). Factor t*u**4 - 1/5*u**3 + 0 + 0*u**2 + 0*u.
u**3*(u - 1)/5
Let j(s) be the second derivative of -s**6/40 - s**5/2 + 6*s**2 - 20*s. Let a(u) be the first derivative of j(u). Factor a(y).
-3*y**2*(y + 10)
Let k(c) be the first derivative of c**6/45 - c**5/15 + c**4/18 + 6*c - 10. Let f(l) be the first derivative of k(l). Factor f(n).
2*n**2*(n - 1)**2/3
Factor 50*c**4 + 281269*c**2 + 546*c**3 + 3*c**5 + 499*c**4 - 281269*c**2.
3*c**3*(c + 1)*(c + 182)
Let t(u) be the third derivative of 0*u**3 - 3/10*u**6 + 3/2*u**4 + 0 + 2/105*u**7 - 286*u**2 - 1/15*u**5 + 0*u. What is a in t(a) = 0?
-1, 0, 1, 9
Suppose 0*t = 4*t - 12. Suppose 4*x - 2*n = 9878, 6*n = -3*x + 4*n + 7405. Solve -x*d + 2469*d + 8*d**2 + 4*d**t = 0 for d.
-2, 0
Let b(l) be the first derivative of l**5/25 + 103*l**4/10 + 11209*l**3/15 + 6180*l**2 + 18000*l - 9965. Factor b(d).
(d + 3)**2*(d + 100)**2/5
Let y(u) = -312*u + 96411. Let j be y(309). Factor 58/3*f**2 - 2/3 - 26/3*f - 10*f**j.
-2*(f - 1)**2*(15*f + 1)/3
Let w = -90 - -94. Let x(p) = -p**3 - 311*p**2 - 6619*p - 46309. Let y(a) = 10*a**3 + 2800*a**2 + 59570*a + 416780. Let q(i) = w*y(i) + 35*x(i). Factor q(f).
5*(f + 21)**3
Let f be 192/864 + (-1678)/180. Let g = f - -283/30. Factor 16/3*n + 0 + 3*n**3 - 8*n**2 - g*n**4.
-n*(n - 4)**2*(n - 1)/3
Let r(f) be the third derivative of 0*f - 3/5*f**5 + 0*f**3 + 7/3*f**4 - f**2 + 1/30*f**6 + 0. Factor r(w).
4*w*(w - 7)*(w - 2)
Let h(k) be the second derivative of -k**6/30 + 64*k**5/15 + 247*k**2/2 - 207*k. Let s(t) be the first derivative of h(t). Determine q so that s(q) = 0.
0, 64
Let j be (-25)/5*(-5139)/45. Suppose 571 - j = -5*t. Find k, given that -6/5*k**2 + 0*k - 6/5*k**3 + t = 0.
-1, 0
Let p = 2615 - 2591. Let h(u) be the third derivative of p*u**2 + 0*u - 1/4*u**5 + 20/3*u**3 + 1/24*u**6 - 5/4*u**4 + 0. Let h(b) = 0. What is b?
-2, 1, 4
Suppose 3049*y + 9814 = 3056*y. Let i = 7028/5 - y. Factor 39/5*h**2 + 6/5*h + 0 + i*h**3.
3*h*(h + 2)*(6*h + 1)/5
Suppose o - 5 = 2*o, 0 = 3*n + 5*o + 16. Suppose -16 = -2*a - n*w + 5*w, -5*a - w = -10. Factor -3 + v - 3*v + v**2 - a*v**2 + 3*v**2.
(v - 3)*(v + 1)
Let p(h) be the third derivative of h**6/540 - 173*h**5/270 - 353*h**4/108 + 175*h**3/9 + h**2 - h - 1452. Solve p(v) = 0 for v.
-3, 1, 175
Let s = 1875269 + -3750517/2. Suppose -15/4*f - s + 3/4*f**2 = 0. What is f?
-2, 7
Let r be (-16)/(-6)*(-4350)/(-4292). Let m = 7/148 + r. Find y, given that -m*y - 5/4 - 7/4*y**2 - 1/4*y**3 = 0.
-5, -1
Factor -366*z**3 - 194519*z + 228*z**4 - 231*z**4 - 51883*z - 15444*z**2 - 889785.
-3*(z + 5)*(z + 39)**3
Let p(s) = s**2 - 8*s + 36. Let c be p(10). Let h be (((-80)/c)/5)/(18/(-14)). Suppose -h*j**2 + 0*j + 2/9*j**4 + 0 + 0*j**3 = 0. What is j?
-1, 0, 1
Let u(i) be the third derivative of 0*i**3 + 14*i**2 - 1/3*i**4 - 8/105*i**7 - 1/10*i**6 + 3/5*i**5 + 0 - 2*i. Factor u(n).
-4*n*(n - 1)*(n + 2)*(4*n - 1)
Let u(t) be the third derivative of t**6/780 - 17*t**5/390 - 44*t**4/39 + 64*t**3/13 - 736*t**2 - 2. Factor u(k).
2*(k - 24)*(k - 1)*(k + 8)/13
Let c be 33 + -32 - (-2)/4*-2. Let g(f) = f**2 - 3*f + 1. Let k be g(c). Factor -2*q + 2*q**2 + 8*q**2 + 1 - k.
2*q*(5*q - 1)
Let q(i) be the second derivative of 3*i**5/100 + 11*i**4/5 + 81*i**3/10 - 189*i**2/5 + 536*i. Find h, given that q(h) = 0.
-42, -3, 1
Suppose -91/2*r + 61/4 + 247/4*r**4 - 77*r**2 + r**5 + 89/2*r**3 = 0. What is r?
-61, -1, 1/4, 1
Suppose 76/9*u**3 - 4/9*u + 32/3*u**5 + 0 + 184/9*u**4 - 16/9*u**2 = 0. Calculate u.
-1, -1/6, 0, 1/4
Let j be -5 + 10 + (-3)/9*-3. Let n(o) be the third derivative of -1/6*o**3 + 0*o + 1/240*o**j - 5/96*o**4 + 6*o**2 + 0 + 7/240*o**5. Factor n(t).
(t - 1)*(t + 4)*(2*t + 1)/4
Let p = 2635/627 - 739/209. Find w such that 0 - p*w - 2/3*w**2 = 0.
-1, 0
Factor 113*q**2 - 892*q - 108*q**2 - 7*q**2 + 894.
-2*(q - 1)*(q + 447)
Let b = 1093/6 - 359/2. Suppose -7*z + 53 = 32. Suppo