tor -8 - j*q**2 + 56*q - 48*q**2 + 11*q**2 - 54*q**3.
-2*(q + 2)*(3*q - 1)*(9*q - 2)
Let q(j) be the first derivative of -6/11*j**2 + 7/22*j**4 - 1/33*j**6 + 2/33*j**3 + 0*j - 1 - 2/55*j**5. Find k such that q(k) = 0.
-3, -1, 0, 1, 2
Let r be 19 - (71/5 - 4464/(-2480)). Determine a so that 1246/3*a**2 - 2/3*a**5 - 384 + 352*a - 94/3*a**4 - 1054/3*a**r = 0.
-24, -1, 1
Suppose 38 = x - 0*x + 2*w, -3*x + 3*w + 78 = 0. Let k = 33 - x. Factor -219*o**5 + 4*o**4 + 216*o**5 - o**4 - 3*o**2 + k*o**3.
-3*o**2*(o - 1)**2*(o + 1)
Factor 8230*l**2 - 36*l - 2654 + 327 - 212*l - 8231*l**2 - 13049.
-(l + 124)**2
Suppose -1120*o + 696*o = -848. Factor 1/9*v**o + 4/9*v + 4/9.
(v + 2)**2/9
Suppose 17765 = -37*k + 18*k. Let n = k - -935. Factor 3*x**2 + n - 3/7*x.
3*x*(7*x - 1)/7
Let h = -60 - -67. Suppose -4*z + 4*c + 5 = -h, 4*c = 5*z - 15. Factor 36*d**2 + 8 + 15*d**3 + 10*d**3 + 1 + 30*d - 7*d**3 + z*d**4.
3*(d + 1)**3*(d + 3)
Suppose 0*p**2 - 24/7*p**4 + 0*p - 26/7*p**3 + 2/7*p**5 + 0 = 0. Calculate p.
-1, 0, 13
Let o(p) be the first derivative of 3*p**5/10 - 3*p**4/4 - 3*p**3/2 + 3*p**2 + 6*p + 1562. Factor o(c).
3*(c - 2)**2*(c + 1)**2/2
Let p(o) be the second derivative of -o + 6 + 0*o**2 + 0*o**3 - 1/4*o**5 + 35/12*o**4. Solve p(i) = 0 for i.
0, 7
Factor -616137/5 + 3/5*x**3 + 31329/5*x - 531/5*x**2.
3*(x - 59)**3/5
Let s be (-2378600)/22932 - (-1)/(-9) - -5. Let v = -680/7 - s. Find k, given that -4/13*k + 0 - 10/13*k**3 - v*k**2 = 0.
-2, -1/5, 0
Let c = -93/1861 + 4559/16749. Factor -16/9*g - c*g**3 + 0 + 4/3*g**2.
-2*g*(g - 4)*(g - 2)/9
Find d such that 14/15*d**3 + 157504/5*d + 1716/5*d**2 - 135424/15 = 0.
-184, 2/7
Determine u so that -3288/11 + 6/11*u**3 + 3312/11*u - 846/11*u**2 = 0.
2, 137
Let k(d) = 3*d + 59. Let q be k(-13). Solve 56*r**2 - 83*r**2 + 4*r**4 - 24*r**3 - 20*r + 75*r**2 + 12 - q*r = 0.
1, 3
Let r(p) be the second derivative of p**6/10 - 81*p**5/20 + 125*p**4/4 + 975*p**3/2 - 3375*p**2 - 1357*p. Factor r(j).
3*(j - 15)**2*(j - 2)*(j + 5)
Find f such that 51 - 21/4*f**2 + 1/4*f**3 + 14*f = 0.
-2, 6, 17
Let p(n) be the first derivative of 2*n**3/45 + 32*n**2/15 - 246*n/5 + 412. Determine f so that p(f) = 0.
-41, 9
Suppose -5*c = -15, 0 = 17*p - 16*p - 3*c + 6. Factor 4*v**p + 9*v + 14*v - 15*v - 12*v**2.
4*v*(v - 2)*(v - 1)
Find u, given that 0 - 12*u**2 - 4/9*u**3 - 368/9*u = 0.
-23, -4, 0
Factor 1/5*b**2 + 182/5*b + 181/5.
(b + 1)*(b + 181)/5
Let u(n) be the third derivative of -n**5/4 + 3115*n**4/24 + 520*n**3/3 - 98*n**2 - n + 1. Factor u(l).
-5*(l - 208)*(3*l + 1)
Let g(a) be the first derivative of 2*a**5/35 - 2*a**4/7 - 8*a**3/7 - 614. Determine x, given that g(x) = 0.
-2, 0, 6
Let v = 389291/8 + -48661. Factor -9/2 + v*x**2 + 3/2*x.
3*(x - 2)*(x + 6)/8
Let x(m) be the first derivative of m**6/60 - 29*m**5/300 - m**4/40 + 56*m**2 - 74. Let v(r) be the second derivative of x(r). Factor v(l).
l*(l - 3)*(10*l + 1)/5
Suppose t**3 + 7411*t - 6720*t + 29241 - 515*t**2 + 28208*t + 174*t**2 = 0. What is t?
-1, 171
Let h(o) be the first derivative of o**4 - 44*o**3 - 2730*o**2 - 39884*o - 1559. What is w in h(w) = 0?
-13, 59
Factor -2*s**2 + 28*s**2 - 41*s - 9*s**2 - 12*s**2 - 69*s + 360.
5*(s - 18)*(s - 4)
Let c(h) = -3 + 12 - 7 - 3*h - h**3 + 4*h**2. Let u be c(3). Factor k - 21 + 23 - 4*k**2 + 4*k**3 - u*k**5 + k**4 + k**4 - 3*k.
-2*(k - 1)**3*(k + 1)**2
Factor -5432/11*f + 2/11*f**2 + 3688328/11.
2*(f - 1358)**2/11
Let i = -394708 + 394712. Determine a so that -9/8*a**2 - 9/8*a**3 - 3/8*a**i + 0 - 3/8*a = 0.
-1, 0
Let z(t) be the third derivative of t**5/105 - 41*t**4/42 + 296*t**3/21 - t**2 - 2*t - 548. Factor z(f).
4*(f - 37)*(f - 4)/7
Let z = 579793/2 - 289865. Solve -183/8*h**2 - 21/4*h**3 - 27/2 - z*h - 3/8*h**4 = 0 for h.
-6, -1
Let b be 52/(-88)*(-6)/3*1. Let i = b + 1. Factor 8/11 + 8/11*o**4 + 2/11*o**2 - 24/11*o + i*o**3.
2*(o + 2)**2*(2*o - 1)**2/11
Let o(w) be the first derivative of w**4/6 - 40*w**3/9 + 25*w**2 - 1294. Factor o(v).
2*v*(v - 15)*(v - 5)/3
Let r(p) = p**2 + 3*p + 1318. Let g be r(0). Factor -g*z**4 + 1321*z**4 + 0*z**2 + 3*z**3 - 6*z**2.
3*z**2*(z - 1)*(z + 2)
Let s(q) be the third derivative of q**7/210 + 13*q**6/40 + 8*q**5/15 - 19*q**4/2 - 2171*q**2. Suppose s(t) = 0. Calculate t.
-38, -3, 0, 2
Let x(c) be the second derivative of c**7/294 - 23*c**6/210 - 19*c**5/35 - 13*c**4/21 - 126*c. Let x(r) = 0. What is r?
-2, -1, 0, 26
Let f = -1060/337 + 15986/1011. Find c such that -f + 40/3*c - 2/3*c**2 = 0.
1, 19
Let b be (-11)/(-44)*-58 + 15. Let x(o) be the second derivative of -5/12*o**6 + 0*o**3 - 5/24*o**4 + 0*o**2 - b*o**5 - 13*o + 0 - 5/42*o**7. Factor x(p).
-5*p**2*(p + 1)**2*(2*p + 1)/2
Suppose -11*o + 14*o = 12. Factor -18 - 865*l**2 + 710*l**2 + 79*l**3 + 91*l + 10*l - 7*l**o.
-(l - 9)*(l - 1)**2*(7*l - 2)
Suppose 0 = 3036*n - 3032*n - 16. Let u be -2*(n + (-125)/30). Solve 0 + 2/3*z - u*z**2 = 0.
0, 2
Suppose 319*v - 326*v = -70. Factor -35 - 5 - 9*z + z**2 + 74 - v*z.
(z - 17)*(z - 2)
Let g(k) be the second derivative of 2*k**6/75 - 4*k**5/5 - 47*k**4/15 + 44*k**3/5 + 203*k. Factor g(c).
4*c*(c - 22)*(c - 1)*(c + 3)/5
Let p be (-38 + (-2662)/(-88))*(-36)/21. Suppose 3*b**4 + p*b + 15/7*b**3 - 111/7*b**2 - 18/7 = 0. What is b?
-3, 2/7, 1
Let k(x) = -4*x**3 - 8*x + 34*x**2 - 14*x**2 + 8 - 10*x**2. Let i(g) = 7*g**3 - 19*g**2 + 17*g - 15. Let f(w) = -3*i(w) - 5*k(w). Let f(b) = 0. What is b?
1, 5
Let v(d) be the second derivative of -d**4/12 + 9*d**3/5 + 11*d**2/10 + 279*d - 1. Factor v(i).
-(i - 11)*(5*i + 1)/5
Let b(z) be the third derivative of -z**6/420 + z**5/105 + 19*z**4/28 + 18*z**3/7 + 2242*z**2. Suppose b(x) = 0. Calculate x.
-6, -1, 9
Suppose -4*c + 15*c - 649 = 0. Factor -18 - 30*t + 119*t**2 + 32*t**3 - c*t**2 - 44*t**2.
2*(t - 1)*(4*t + 3)**2
Suppose -1478*k = -916*k + 23 - 1147. Let -3/4*x**k + 9/2 - 15/4*x = 0. Calculate x.
-6, 1
Suppose -714 = -230*c + 247*c. Let r be (-104)/(-13) - (-329)/c. Factor -r*d**2 + 5/3 - 3/2*d.
-(d - 1)*(d + 10)/6
Factor -3*w**3 - 407*w - 1110*w - 164*w - 345*w**2 + 349*w.
-3*w*(w + 4)*(w + 111)
Let w(k) = -4*k - 20. Let h be w(-5). Suppose -165*r + 161*r = -12. Determine u, given that -3*u**2 + h - 3/2*u**r + 0*u = 0.
-2, 0
Let b be (177/(-42) - -4)*119/(-765). Let q(a) be the second derivative of 0 - 1/20*a**5 + 1/6*a**3 + b*a**6 - 4*a - 1/12*a**4 + 0*a**2. Factor q(m).
m*(m - 1)**2*(m + 1)
Find k, given that -82/3*k**2 + 1/6*k**5 - 19/3 - 43/3*k**3 - 131/6*k - 7/3*k**4 = 0.
-2, -1, 19
Let v = -90632/15 - -6044. Let d(g) be the first derivative of 49/5*g**2 - 14 + 0*g + 1/10*g**4 - v*g**3. Suppose d(p) = 0. What is p?
0, 7
Let k(y) = y**5 - 4*y**4 - y**2 + 2*y + 1. Let m(r) = 7*r**5 - 78*r**4 + 156*r**3 - 160*r**2 + 63*r + 6. Let h(w) = -30*k(w) + 5*m(w). Factor h(u).
5*u*(u - 51)*(u - 1)**3
Let r = 63 + -31. Solve -r*i**4 + 72*i**4 - 36*i**4 + 4*i - 12*i**2 - 12*i = 0.
-1, 0, 2
Suppose 2*s - 19 = -15. What is q in 0*q**4 + 3*q**4 + 10*q - s*q**4 - 15*q**2 + 4*q**4 = 0?
-2, 0, 1
Let l(r) = -48*r**2 + 220*r + 16. Let p(x) = 46*x**2 - 220*x - 16. Let z(m) = 5*l(m) + 4*p(m). Suppose z(q) = 0. Calculate q.
-1/14, 4
Suppose 9*h**2 - 123*h**2 - 7518 + 31*h**2 + 36*h**2 + 38*h**2 + 11283*h = 0. What is h?
2/3, 1253
Factor -4/5*o**2 - 32/5*o + 528.
-4*(o - 22)*(o + 30)/5
Let u be 735/(-280)*(-2)/35. Let p(y) be the first derivative of 0*y - 3 + u*y**2 + 1/30*y**3. Factor p(o).
o*(o + 3)/10
Let j(v) be the third derivative of v**5/60 + 11*v**4/12 + 12*v**3 - 2*v**2 + 35. Let i be j(-4). Let -8/9*t + i*t**2 + 0 + 2/9*t**3 = 0. Calculate t.
-2, 0, 2
Let q(x) be the second derivative of x**7/84 - 43*x**5/40 - 7*x**4/4 + 493*x + 6. Suppose q(f) = 0. What is f?
-6, -1, 0, 7
Let k(w) be the first derivative of -43*w + w**3 - 1/2*w**4 - w**2 + 1/10*w**5 + 43. Let n(y) be the first derivative of k(y). Factor n(l).
2*(l - 1)**3
Suppose 219*u - 239*u = -80. Let l(j) be the first derivative of -1/10*j**2 + 0*j - 10 - 1/5*j**3 + 1/5*j**u. Determine y, given that l(y) = 0.
-1/4, 0, 1
Factor -57*k**2 + 855*k**3 - 191*k**2 + k**4 + 845*k - 6*k**4 - 1447*k**2.
-5*k*(k - 169)*(k - 1)**2
Factor 51*n**2 + 836*n**3 + 30*n - 484*n**3 - 349*n**3 - 288.
3*(n - 2)*(n + 3)*(n + 16)
Let p = 142581867/1462378 - 6/731189. Determine g, given that p*g**3 - 3/2*g**4 + 3267 - 3663/2*g 