be the third derivative of -g**8/112 - 3*g**7/70 + g**6/10 + 4*g**5/5 - 8*g**3 + 11*g**2 + 5. Determine w so that a(w) = 0.
-2, 1, 2
Suppose -5*c**2 + 829*c - 75*c**2 + 124*c**2 - 3*c**3 + 2243*c + 316*c**2 = 0. Calculate c.
-8, 0, 128
Suppose -17 = 4*c - 1, -5*s + 5*c = -40. Let v = -2 - -5. Determine g, given that -11*g**2 - 70*g**s - g**2 - 12*g**v + 67*g**4 = 0.
-2, 0
Factor -1086/5*a + 657 - 3/5*a**2.
-3*(a - 3)*(a + 365)/5
Let y be ((-1)/3)/((-10940)/6564). Suppose 0 + 3/5*c**3 + y*c**4 - 4/5*c**2 - 12/5*c = 0. Calculate c.
-3, -2, 0, 2
Let o(t) be the second derivative of t**5/150 + 107*t**4/30 - 976*t**3/45 - 432*t**2/5 - 25*t + 17. Factor o(j).
2*(j - 4)*(j + 1)*(j + 324)/15
Let v = -4157 - -4162. Let q(x) be the third derivative of 0 - 13/20*x**v + 1/4*x**6 - 18*x**3 + 27*x**2 + 0*x - 1/70*x**7 - 15/2*x**4. Factor q(n).
-3*(n - 6)**2*(n + 1)**2
Let h(p) be the third derivative of -p**5/180 - 67*p**4/4 - 3124*p**2. Suppose h(k) = 0. Calculate k.
-1206, 0
Suppose -o + 5974 - 5983 = l, 19 = -5*o - 3*l. Find s, given that -1/5*s**5 + 16/5*s**2 - 8/5 - 1/5*s - 8/5*s**o + 2/5*s**3 = 0.
-8, -1, 1
Let k(f) = f + 11. Suppose -m = 8 + 1. Let y be k(m). Factor 16*v - 3*v**3 - 12*v**y + 7*v**3 - 4*v**2.
4*v*(v - 2)**2
Suppose 0 = -22*d + 26*d - 920. Let p be 3/(-1) + 20/1400*d. Factor p*o**3 - 2*o + 12/7*o**2 + 0.
2*o*(o - 1)*(o + 7)/7
Let k(c) = 3*c + 85. Let a be k(-27). Suppose 0 = a*i - 3*w - 23, 3*w = 3*i + 5 - 26. Find v such that 5/4*v**4 - 3/4*v**3 - 3*v**i - v + 0 = 0.
-1, -2/5, 0, 2
Solve 4998*h + 5168 - 155331*h**2 - 428*h + 155336*h**2 - 18923 = 0.
-917, 3
Suppose -4*t + 4*l + 3 = t, 4*l - 9 = t. Factor 12 + 20*m**t - 8*m**2 - 7 + 3*m**2 - 20*m.
5*(m - 1)*(m + 1)*(4*m - 1)
Let q(l) be the second derivative of -l**4/28 - 614*l**3/7 - 565494*l**2/7 + 18*l + 8. Factor q(h).
-3*(h + 614)**2/7
Let o(t) be the first derivative of -24*t - 112 - 28/3*t**3 + 25*t**2 + 1/2*t**4. Let o(d) = 0. What is d?
1, 12
Suppose 158*h + 79002 = 79002. Determine w, given that 6/11*w**3 + 2/11*w**4 + 0*w - 8/11*w**2 + h = 0.
-4, 0, 1
Suppose 1243 = 5*i - 5*r + 1308, 0 = 3*i + 3*r - 63. Solve 0*a**i + 0 + 0*a - 31/5*a**3 + 6*a**2 + 1/5*a**5 = 0 for a.
-6, 0, 1, 5
Factor -16*j**3 - 152881/5 - 2382/5*j**2 - 1/5*j**4 - 6256*j.
-(j + 17)**2*(j + 23)**2/5
Suppose -6*x**4 + 2/5*x + 3*x**2 + 0 + 13/5*x**3 = 0. Calculate x.
-2/5, -1/6, 0, 1
Let w = -86237/1938 + -2/969. Let a = -37 - w. Factor 15/2 - a*n**2 + 5/2*n**3 - 5/2*n.
5*(n - 3)*(n - 1)*(n + 1)/2
Let l be -1 + (2 + -1 - -4) + -1. Suppose 4*u = -4*d - 4, 0*u - 3*u = -l*d - 21. Factor -3*s**u + 0*s**4 - 2*s**4 + s**4 - 8*s + 12*s.
-s*(s - 1)*(s + 2)**2
Let r(u) be the third derivative of -338/9*u**3 + 1/720*u**6 - 4 + 13*u**2 + 5/36*u**5 + 143/36*u**4 + 0*u. Factor r(f).
(f - 2)*(f + 26)**2/6
Let p(w) be the third derivative of 78*w**2 - 1/5*w**5 - 1/40*w**6 + 0*w + 0 + 7/2*w**4 - 16*w**3. Factor p(k).
-3*(k - 2)**2*(k + 8)
Let p be 1/((-40)/104) + 3. Let d(k) be the first derivative of -1/25*k**5 + 1/5*k**2 - p*k**3 + 0*k + 9/40*k**4 + 7. Factor d(b).
-b*(b - 2)**2*(2*b - 1)/10
Let c(d) = -d**2 - 15*d - 5. Let t be c(-14). Let r(i) = -12*i - 15*i + 20*i**3 + t*i + 57*i**2. Let l(v) = -v**3. Let w(z) = l(z) - r(z). Factor w(n).
-3*n*(n + 3)*(7*n - 2)
Let j(p) be the first derivative of 0*p - 2/35*p**5 + 0*p**2 + 2/7*p**4 - 169 - 2/7*p**3. Find o such that j(o) = 0.
0, 1, 3
Let p = -323 + 328. Let i(l) be the third derivative of 0 + 8*l**2 - 1/8*l**4 - 1/20*l**p + l**3 + 0*l. Find k, given that i(k) = 0.
-2, 1
Let m be 28 + 0/(-1) - 2. Let t = -21 + m. Factor -6 + 1 - 3*x**2 - t + 7 + 6*x.
-3*(x - 1)**2
Suppose 0 = -4*p + 66 - 18. Find d, given that -p*d**2 - 44 - 3*d**2 - d**2 - 180*d + 0*d**2 = 0.
-11, -1/4
Suppose 0 = j - 106 + 109. Let g be (-3)/(((-12)/18 - -2)*j). Factor -27/4 + 9*n + 3/2*n**2 - g*n**4 - 3*n**3.
-3*(n - 1)**2*(n + 3)**2/4
Let j(f) be the first derivative of 97/7*f**4 + 60/7*f**3 + 76/35*f**5 + 0*f + 2/21*f**6 - 324/7*f**2 - 75. Suppose j(y) = 0. Calculate y.
-9, -2, 0, 1
Let t(q) be the first derivative of q**7/420 + q**6/180 - q**5/15 - q**4/3 + 16*q**3/3 + 38. Let g(d) be the third derivative of t(d). Factor g(u).
2*(u - 2)*(u + 1)*(u + 2)
Factor 32*v**2 + 63*v**2 + 57*v**2 - 2*v + 243 - 30*v**2 + 2*v**3 - 365.
2*(v - 1)*(v + 1)*(v + 61)
Suppose 63 + 14 + 673*v - 80*v**2 - 32 - 39*v + 81*v = 0. What is v?
-1/16, 9
Find w, given that -5256*w**3 + 0*w + 289/4*w**4 - 1/4*w**5 + 5184*w**2 + 0 = 0.
0, 1, 144
Let q = 35837/53760 - -1/17920. Let x(j) be the first derivative of 42 - 1/18*j**3 + 1/3*j**2 + q*j - 1/24*j**4. Let x(c) = 0. Calculate c.
-2, -1, 2
Let s(o) be the second derivative of -o**5/2 + 85*o**4/12 - 95*o**3/6 - 35*o**2 + 2*o + 260. Factor s(c).
-5*(c - 7)*(c - 2)*(2*c + 1)
Let j(g) = 2*g**2 + 82*g - 1970. Let m be j(17). Let a(v) be the first derivative of 4/7*v + 15 + 1/7*v**4 - 2/7*v**m - 4/21*v**3. What is o in a(o) = 0?
-1, 1
Let p = 55 - 50. Suppose 40 = p*s - 0. Let s*w**3 - w - w - 6*w**3 + 0*w = 0. What is w?
-1, 0, 1
Let a(d) be the second derivative of -d**7/4620 + d**6/330 - 13*d**3/6 + 49*d. Let x(v) be the second derivative of a(v). Suppose x(y) = 0. Calculate y.
0, 6
Let q(s) = 6*s + 104. Let j be q(33). Let u = j + -302. Factor -2/5*w**3 - 1/5*w**2 + 0 + u*w.
-w**2*(2*w + 1)/5
Let d(x) be the third derivative of -x**6/360 + 11*x**5/120 + x**4/2 - 17*x**3 + 4*x**2. Let i(n) be the first derivative of d(n). What is r in i(r) = 0?
-1, 12
Let n(p) be the second derivative of -p**5/15 - 7*p**4 - 294*p**3 - 233*p**2/2 - 135*p. Let t(c) be the first derivative of n(c). Factor t(x).
-4*(x + 21)**2
What is s in -12*s - 3815 - 15*s**2 + 3783 + 17*s**2 = 0?
-2, 8
Let z(a) be the third derivative of a**8/30240 - a**6/270 - 23*a**5/60 + a**3/6 - 6*a**2. Let f(r) be the third derivative of z(r). Factor f(w).
2*(w - 2)*(w + 2)/3
Let k be ((-6)/(-27))/(12/90) - (-8)/6. Let d = -104 - -522/5. Solve 6/5*w + 18/5 + d*w**k - 2*w**2 = 0.
-1, 3
Let m = -10607 - -10609. Let j(c) be the second derivative of -3/140*c**5 - 1/7*c**3 + 0 + 14*c + 3/28*c**4 + 0*c**m. Factor j(g).
-3*g*(g - 2)*(g - 1)/7
Factor -56*c**3 + 208*c**4 - 728*c - 338 - 444*c**2 + 201*c**4 - 411*c**4.
-2*(c + 1)**2*(c + 13)**2
Let d(b) be the third derivative of 0*b**5 + 0 + 3/40*b**6 + 1/1344*b**8 + 0*b**3 + 0*b**4 + 13*b + b**2 - 1/70*b**7. Factor d(f).
f**3*(f - 6)**2/4
Let p = -2100530/7 + 300077. Factor 1/7*b**3 - 1/7*b**2 + 9/7 - p*b.
(b - 3)*(b - 1)*(b + 3)/7
Let w(z) = -57*z - 55. Suppose -213*q - 3 = -210*q. Let d be w(q). Let 24/23 - 2/23*r**3 - 32/23*r + 14/23*r**d = 0. Calculate r.
2, 3
Suppose 0 = -2*i - i + 2*i. Let x be (-11)/(-8) - (-5 + (-48)/(-8)). Suppose x*v**2 + 3/8*v**3 + i + 0*v = 0. Calculate v.
-1, 0
Let t = -2317 + 2322. Let i(c) be the first derivative of -c - c**4 - 2*c**2 + 14 - 1/5*c**t - 2*c**3. Factor i(l).
-(l + 1)**4
Let p = 6816403/908854 + 1/454427. Suppose -33/4*n - 3/4*n**2 - p = 0. What is n?
-10, -1
Let h(a) = -29*a - 549. Let r be h(-19). Let m(c) be the second derivative of 1/12*c**4 + 9*c - 2*c**r + 0*c**3 + 0. Determine v, given that m(v) = 0.
-2, 2
Factor 410/9*z**3 + 9826/9 + 41038/9*z + 782*z**2 + 8/9*z**4.
2*(z + 17)**3*(4*z + 1)/9
Let o(r) be the second derivative of -1/90*r**4 + 3*r + 2 + 14/45*r**3 - 13/15*r**2. Factor o(a).
-2*(a - 13)*(a - 1)/15
Suppose -2742/11*c**2 + 340/11*c**3 - 14/11*c**4 - 1944/11 + 7560/11*c = 0. Calculate c.
2/7, 6, 9
Let a = -579072 + 4053530/7. Factor 0 + 8/7*y + 2/7*y**5 - a*y**2 + 30/7*y**3 - 2*y**4.
2*y*(y - 4)*(y - 1)**3/7
Let p(a) = 102*a**2 + 121*a + 35. Let x(k) = -101*k**2 - 108*k - 30. Let m(d) = -6*p(d) - 7*x(d). Let m(h) = 0. Calculate h.
-6/19, 0
Let q(x) be the second derivative of -93*x**5/160 - 47*x**4/8 - 3*x**3/4 + 13837*x. Factor q(i).
-3*i*(i + 6)*(31*i + 2)/8
Let l(x) be the third derivative of -x**5/270 + 23*x**4/36 - 81*x**2 + 15*x. Determine t, given that l(t) = 0.
0, 69
Let f(v) be the first derivative of 2*v**5/85 - 8*v**3/51 - 7428. Solve f(q) = 0 for q.
-2, 0, 2
Factor -36/7*g**2 + 3/7*g**4 + 1/7*g**3 - 60/7*g - 16/7.
(g - 4)*(g + 2)**2*(3*g + 1)/7
Suppose 5*m = -4*o + 4, -16*o = -18*o + 5*m + 32. Factor -45*z**2 - 163*z + 67*z + 3*z**3 - 3*z**4 - 48 + 5*z**3 + o*z**4 - 2*z**3.
3*(z - 4)*(z + 1)**2*(z + 4)