ose 14/5*i + 16/5*i**2 - 4/5*i**4 - 2/5*i**5 + 4/5*i**g + 4/5 = 0. Calculate i.
-1, 2
Let v = 123 + -99. Determine n, given that 503 + v*n - 80*n**2 - 14*n**3 - 503 = 0.
-6, 0, 2/7
Let a(k) be the first derivative of k**3/24 + k**2/4 - 221*k/8 + 1750. Factor a(g).
(g - 13)*(g + 17)/8
Suppose -3*z - 11 = 1, -2 = -u + 2*z. Let m be (-10)/(-36)*u*(-44)/30. Factor -m*l + 20/9*l**3 + 2/9*l**5 - 4/9*l**2 + 14/9*l**4 - 10/9.
2*(l - 1)*(l + 1)**3*(l + 5)/9
Let 138/5*z + 1/5*z**4 + 83/5*z**2 + 18/5*z**3 + 72/5 = 0. What is z?
-12, -3, -2, -1
Suppose -57*q = -55*q + 70. Let o be 96/28*q/(-50). Factor 243/5*v**5 - 837/5*v**4 + 144/5*v + 213*v**3 - o - 603/5*v**2.
3*(v - 1)**3*(9*v - 2)**2/5
Suppose -77*c - 56 + 1184 = 205*c. Let w(j) be the first derivative of 1/3*j**3 - 18 + 1/2*j**c - j**2 - 1/5*j**5 + 0*j. Factor w(n).
-n*(n - 2)*(n - 1)*(n + 1)
Factor -s**3 - 3*s + 39 + 4*s**3 + 328*s**2 - 367*s**2 + 0*s**3.
3*(s - 13)*(s - 1)*(s + 1)
Let m(f) be the second derivative of f**6/6 + 689*f**5/4 + 860*f**4/3 - f - 6546. Find j such that m(j) = 0.
-688, -1, 0
Let s(i) = 14*i**4 + 18*i**3 + 90*i**2 - 86*i + 6. Let f(k) = 11*k**4 + 15*k**3 + 89*k**2 - 85*k + 5. Let c(o) = 6*f(o) - 5*s(o). Factor c(z).
-4*z*(z - 4)*(z - 1)*(z + 5)
Let b be 12/80 - (-222)/(-1512). Let a(v) be the third derivative of 0*v**4 + 0*v**3 + 0*v**5 + 0*v - 13*v**2 + 0*v**6 + 1/1512*v**8 + b*v**7 + 0. Factor a(g).
2*g**4*(g + 3)/9
Let t(l) be the third derivative of -l**5/330 - 117*l**4/22 - 41067*l**3/11 - 618*l**2. Factor t(o).
-2*(o + 351)**2/11
Let c(h) be the third derivative of h**7/630 + h**6/45 - 2*h**5/5 + 20*h**4/9 - 56*h**3/9 + 630*h**2. Factor c(v).
(v - 2)**3*(v + 14)/3
Let x(d) = 4*d + 58. Let b be 10/(-15) - (-80)/(-6). Let u be x(b). Factor 16*o**3 + 48*o - 16 + 13*o**2 + 35*o**u + 12*o**2.
4*(o + 2)**2*(4*o - 1)
Let v(j) be the third derivative of 1/240*j**6 + 0*j - 1/48*j**4 + 1/120*j**5 + 0 - 40*j**2 - 1/12*j**3. Factor v(r).
(r - 1)*(r + 1)**2/2
Suppose -o - 5*c - 20 = -c, -3*o - 4*c - 60 = 0. Let n be -4 - o*(-2)/(-4). Factor -2*y**2 - 14*y - 2 - n + 2 - 6.
-2*(y + 1)*(y + 6)
Suppose 21 + 22 = 14*u - 27. Let n(o) be the second derivative of 1/2*o**3 + 39*o + 3*o**2 + 0 - 1/2*o**4 - 3/20*o**u. Factor n(c).
-3*(c - 1)*(c + 1)*(c + 2)
Let z(l) be the first derivative of -1/22*l**4 + 0*l**2 - 1/110*l**5 + 2*l - 31 - 2/33*l**3. Let d(c) be the first derivative of z(c). Solve d(t) = 0 for t.
-2, -1, 0
Let n(t) = 2*t**4 - t**3 + t**2 + 1. Let j(r) = 56*r**4 + 4442*r**3 + 2966*r**2 + 492*r + 10. Let p(w) = -j(w) + 10*n(w). Factor p(z).
-4*z*(z + 123)*(3*z + 1)**2
Factor 6*m**2 + 0 - 14*m + 1/2*m**3.
m*(m - 2)*(m + 14)/2
Let a be (-3)/(15/40*-4). Let f be (4 - 1)*(-40)/(-12). Factor -17*u**3 - 6 + f*u - a*u**2 - 10*u**3 + 25*u**3.
-2*(u - 1)**2*(u + 3)
Factor -7424*i + 121*i**3 + 7290*i + 52*i**3 + 2*i**4 + 136 - 39*i**3 - 138*i**2.
2*(i - 1)**2*(i + 1)*(i + 68)
Factor 116*y + 109*y - 5*y - 32*y**3 - y**4 - 20*y + 5*y**2 - 172*y**2.
-y*(y - 1)*(y + 8)*(y + 25)
Factor 0 - 253/4*j**2 - 155/2*j - j**3.
-j*(j + 62)*(4*j + 5)/4
Suppose -17 = -4*k + 3*g - 4*g, 0 = -4*k - 4*g + 20. Let b = -5053966/63 + 561558/7. Factor -4/3*t**k - 8/3*t**2 + b*t + 0 + 2/9*t**5 + 26/9*t**3.
2*t*(t - 2)**2*(t - 1)**2/9
Let c be (1 + -6 - -1) + 1 + 630. Let i = c + -621. Let -9/4*d**5 + 9/2*d**2 - 3/2 - 15/4*d + i*d**3 - 3*d**4 = 0. What is d?
-2, -1, -1/3, 1
Determine l, given that 70688/3 - 374/3*l**2 + 34592/3*l + 1/3*l**3 = 0.
-2, 188
Let x be (-60)/(-9) + -3 - 3. Let k = 18881/15 - 6282/5. Factor 1/3*h**5 + 5/3*h**4 + x*h + k*h**2 + 0 + 3*h**3.
h*(h + 1)**3*(h + 2)/3
Determine q so that 36/5*q**3 - 36/5*q - 102/5*q**2 - 3/5*q**4 + 21 = 0.
-1, 1, 5, 7
Let i(n) be the first derivative of 16/9*n**3 + 2*n**4 + 1/9*n**6 + 4/5*n**5 + 0*n + 0*n**2 - 37. Suppose i(w) = 0. Calculate w.
-2, 0
Let h = -63080 + 315403/5. Factor h*c**5 + 3/5*c**4 - 3/5*c**2 + 0 - 3/5*c**3 + 0*c.
3*c**2*(c - 1)*(c + 1)**2/5
Factor -13930 - 17404 + 5964 - 21505 + 138*v**2 - 141*v**2 + 750*v.
-3*(v - 125)**2
Let x = 323169 + -323164. Find d, given that 3*d**x + 20/3*d + 4/3 + d**2 - 7/3*d**4 - 29/3*d**3 = 0.
-1, -2/9, 1, 2
Let v be (-3)/(-9) + (2114/6)/(-7). Let a be (-3)/(-2)*v/(-15). Factor -3*k**2 + 3*k**2 - 10*k + 9 - 4 + a*k**2.
5*(k - 1)**2
Let y(t) be the first derivative of -6/11*t**2 - 2/33*t**3 - 10/11*t + 69. Suppose y(k) = 0. What is k?
-5, -1
Let -15/8*x + 9/4 + 3/8*x**2 = 0. What is x?
2, 3
Determine o so that -3*o**4 - 5*o**3 + 55*o + 75 - 47*o**3 - o**5 - 62*o**2 + 0*o**3 - 2*o**3 - 10*o**4 = 0.
-5, -3, -1, 1
Find l, given that 6*l**4 - 2*l**4 + 44*l**3 + 158*l + 140*l**2 - 33*l - 25*l = 0.
-5, -1, 0
Suppose 2 - 1 = -310*l - 0 + 1. Solve -1936/7*q + 528*q**2 - 1588/7*q**3 + l - 24*q**4 - 4/7*q**5 = 0.
-22, 0, 1
Let i(j) be the second derivative of -j**4/48 + 7*j**3/3 - 159*j**2/8 + 1618*j. Let i(h) = 0. Calculate h.
3, 53
Let q(c) = 3*c**3 + 891*c**2 - 1899*c + 945. Let g(h) = -3*h**3 - 900*h**2 + 1899*h - 946. Let a(o) = -6*g(o) - 5*q(o). Solve a(b) = 0 for b.
-317, 1
Let m(j) be the second derivative of 0 - 5*j**3 + 80*j - 45/2*j**2 - 5/12*j**4. Factor m(b).
-5*(b + 3)**2
Factor 0 - 11*p**5 + 0*p - 95*p**3 - 6*p**2 + 196/3*p**4.
-p**2*(p - 3)**2*(33*p + 2)/3
Let x(k) be the second derivative of 0*k**3 + 1/9*k**4 + 1/135*k**6 + 4/189*k**7 - 11/90*k**5 + 6*k + 0*k**2 + 3. Let x(f) = 0. Calculate f.
-2, 0, 3/4, 1
Let -16*b**2 - 244/15*b + 244/15*b**3 - 2/15*b**4 + 242/15 = 0. Calculate b.
-1, 1, 121
Suppose -u - 2*f = -18, 0 = 7*u - 12*u - 4*f + 60. Suppose v**3 + 6*v**2 - v**5 - 4*v**4 - 4*v**3 - u*v**2 - 2*v**3 = 0. What is v?
-2, -1, 0
Suppose -23*i + 71 + 67 = 0. Determine w, given that i*w**4 + 4*w + 5*w**3 - 8*w**2 - 3*w**4 + 2*w**4 - 6*w**4 = 0.
0, 1, 2
Let a(z) be the first derivative of 320*z**3 + 1/2*z**6 + 0*z - 768*z**2 + 126*z**4 + 94 + 69/5*z**5. Factor a(w).
3*w*(w - 1)*(w + 8)**3
Let b(v) = -v**3 - 21*v**2 - 41*v - 54. Let n be b(-19). Factor 287*c - 28 - 136*c - c**n - 147*c + 7*c**2.
-(c - 7)*(c - 2)*(c + 2)
Let q(w) be the third derivative of 1/108*w**4 + 0*w**3 + 121*w**2 + 1/360*w**6 + 0*w - 1/108*w**5 + 0. Find a such that q(a) = 0.
0, 2/3, 1
Let f(h) be the third derivative of 1/160*h**6 + 0*h**3 + 0*h + 1/80*h**5 - 3/8*h**4 + 24*h**2 + 0. Determine o, given that f(o) = 0.
-4, 0, 3
Let b(o) be the first derivative of -5*o**6/6 - 45*o**5 - 1875*o**4/2 - 28750*o**3/3 - 103125*o**2/2 - 140625*o + 666. Factor b(w).
-5*(w + 5)**3*(w + 15)**2
Factor 576*k + 197/3*k**3 - 1/3*k**5 + 11/3*k**4 + 303*k**2 + 396.
-(k - 22)*(k + 2)*(k + 3)**3/3
Let m be (-5520)/(-50) - (-4)/(-10). Let k be (-4)/7*(-77)/m. Suppose k*z**3 - 2/5*z - 4/5 + 4/5*z**2 = 0. What is z?
-2, -1, 1
Factor 0 - 2/3*l**4 + 2*l**3 + 8/3*l**2 + 0*l.
-2*l**2*(l - 4)*(l + 1)/3
Let d = 143 - 147. Let r(h) = -11*h**2 + 8*h. Let n(u) = 32*u**2 - 25*u - 1. Let b(l) = d*n(l) - 11*r(l). What is w in b(w) = 0?
-2/7, 2
Factor -111*m - 763*m + m**3 + 4 + 1564*m - 4 - 143*m**2.
m*(m - 138)*(m - 5)
Let h(c) be the third derivative of -2*c**7/945 + 13*c**6/135 + c**5/135 - 13*c**4/27 + 206*c**2 + 1. Solve h(s) = 0 for s.
-1, 0, 1, 26
Let l(m) be the first derivative of -m**3/15 - 33*m**2/5 - 464*m/5 - 4308. Find p such that l(p) = 0.
-58, -8
Suppose -6*k + 3*k + 2*z = -13, 0 = 2*k + 3*z. Let 5*l - 4*l**2 + k*l**3 + 0*l**3 - 10*l - 2*l**3 = 0. What is l?
-1, 0, 5
Let o(j) be the third derivative of -j**5/12 + 125*j**4/12 + 85*j**3/2 - 4*j**2 - 2*j. Find i such that o(i) = 0.
-1, 51
Let y = -3070702/3 - -1023568. Solve 0 + 16/3*u**4 + 0*u**2 + 14/3*u**3 + y*u**5 + 0*u = 0.
-7, -1, 0
Let x(i) = 5*i**4 + 32*i**3 + 106*i**2 + 142*i + 54. Let t(j) = 6*j**4 + 34*j**3 + 106*j**2 + 142*j + 52. Let q(b) = 3*t(b) - 4*x(b). Factor q(p).
-2*(p + 1)**2*(p + 5)*(p + 6)
Let y(l) be the first derivative of 4*l**3/3 + 74*l**2 + 408*l + 1094. Let y(r) = 0. Calculate r.
-34, -3
Let o(c) = -c**4 - 1. Let m(k) = 7*k**4 - 8*k**3 - 3*k**2 + 9*k + 3. Suppose w = r - 4*w - 28, r = 4*w + 23. Let v(p) = r*o(p) + m(p). Factor v(j).
j*(j + 1)*(2*j - 3)**2
Suppose -2*b + 28 = -5*a - 15, -5*b + 160 = 5*a. Factor b*u + 32*u - 2*u**2 + 26 - 37*u.
-2*(u - 13)*(u + 1)
Let f = 3/1586 - -703/47580. Let y(h) be the third derivative of 1/6*h**4 - 5/6*h**3 - 13*h**2 + 0 + f*h**5 + 0*