 + v**5/25 - 2*v**4/3 + 8*v**3/5 - 510*v + 1. Factor c(g).
2*g*(g - 2)**2*(g + 6)/5
Suppose 3*w + 0*s + 2*s - 40 = -19*w, 0 = -2*s - 26. Factor 0 + 0*d + 2/15*d**w + 0*d**2 - 148/15*d**4 + 2738/15*d**5.
2*d**3*(37*d - 1)**2/15
Let t(j) be the first derivative of 7 + 0*j + 17/2*j**2 - 1/2*j**4 - 1/15*j**5 - 4/3*j**3. Let u(f) be the second derivative of t(f). Factor u(p).
-4*(p + 1)*(p + 2)
Let k be -3*(-4)/60 + (-7866)/(-20). Let n = 394 - k. Suppose -25/2 - n*v**2 - 5*v = 0. What is v?
-5
Let c(h) be the second derivative of -h**4/30 - 13*h**3/3 + 66*h**2/5 + 4024*h. Let c(l) = 0. What is l?
-66, 1
Suppose 3*m + 3*s = 2*m + 54, 4*m - s - 216 = 0. Let p = -30 + m. What is f in -39 + 19 + f**2 + p - 2*f**2 = 0?
-2, 2
Let b(y) be the third derivative of -y**6/240 + y**5/12 - 17*y**4/48 + 2*y**3/3 + 740*y**2. Factor b(x).
-(x - 8)*(x - 1)**2/2
Let o(v) be the second derivative of v**6/120 - 9*v**5/20 - 31*v**3/6 - 12*v + 7. Let q(c) be the second derivative of o(c). Factor q(a).
3*a*(a - 18)
Factor 91/5*v**2 - 37*v + 93/5 + 1/5*v**3.
(v - 1)**2*(v + 93)/5
Let n(j) = 16*j - 167. Let q be n(10). Let a(d) = -d**2 - 308*d - 4803. Let t(u) = -u**2 - 923*u - 14408. Let o(w) = q*a(w) + 2*t(w). Solve o(m) = 0.
-31
Suppose 5*h - 5 = 5*o, -19 = -5*o - 3*h - 0*h. Suppose -59*k - k**2 + 61*k + 24 + 0*k**o - k**2 = 0. What is k?
-3, 4
Let r(b) be the second derivative of 0*b**4 + 1/180*b**6 + 1/60*b**5 + 4*b + 0 - 1/12*b**2 - 1/18*b**3. Find c such that r(c) = 0.
-1, 1
Suppose 3*j - 268 - 104 = -4*u, 4*u - 5*j - 340 = 0. Let y be -2 + 7 - u/20. Factor -5/4*d**3 - 1/2 + 5/4*d + y*d**2.
-(d - 1)*(d + 1)*(5*d - 2)/4
Factor 4/7*v + 2/7*v**2 - 16/7.
2*(v - 2)*(v + 4)/7
Factor 7046*z**2 + 6432*z + 1543*z**2 + 11608*z**2 + 28*z**3 - 7954*z**2 + 10277*z**2.
4*z*(z + 804)*(7*z + 2)
Let r(j) = 4*j - 39. Let g be r(10). Let w be (2 + g)*(-120)/(-72). Let 5/4*s**w + 45/4*s + 5/2 + 35/2*s**3 + 20*s**2 + 15/2*s**4 = 0. Calculate s.
-2, -1
Let t be 12/18*36/8. Factor -t*i**4 + i**5 + 9*i**3 + i**4 + 5*i**4 - 7*i**3.
i**3*(i + 1)*(i + 2)
Let y(r) be the second derivative of -34*r + 10/9*r**3 - 5/36*r**4 + 1 + 0*r**2 - 1/24*r**5. Find z such that y(z) = 0.
-4, 0, 2
Let w(j) = -j**3 + 7*j**2 + 3*j - 6. Let i be w(7). Let m be (-56)/(-20) + ((-12)/i)/(-4). Factor 18*y**2 - 3 - 2*y - 53*y**3 + 29*y**m + 9*y**4 + 2*y.
3*(y - 1)**3*(3*y + 1)
Let j(p) be the second derivative of 149*p - 7/3*p**3 - 1/36*p**4 - 147/2*p**2 + 0. Determine c so that j(c) = 0.
-21
Let l(n) be the third derivative of -n**6/600 - 29*n**5/300 + 47*n**4/60 - 32*n**3/15 + 2*n**2 + 701*n. Factor l(f).
-(f - 2)*(f - 1)*(f + 32)/5
Let s(a) = -a**2 + 7*a + 2. Let r be s(8). Let l be (r + 0)*(-4 + 32/12). Determine k so that -41*k**2 + 18*k**2 - 3*k + l*k + 13*k**2 = 0.
0, 1/2
Factor -2/5*t**2 + 764/5*t - 72962/5.
-2*(t - 191)**2/5
Factor 5*b**4 - 260*b**2 - 245*b**3 - 1451 + 292*b - 49*b + 1451 + 257*b.
5*b*(b - 50)*(b - 1)*(b + 2)
Let p(n) be the third derivative of n**5/60 + 179*n**4/6 + 64082*n**3/3 - 89*n**2 + 2*n. Factor p(t).
(t + 358)**2
Let r(x) = 5*x**4 + 341*x**3 + 5735*x**2 - 20542*x - 14. Let d(b) = 10*b**4 + 680*b**3 + 11470*b**2 - 41085*b - 30. Let m(t) = -7*d(t) + 15*r(t). Factor m(l).
5*l*(l - 3)*(l + 37)**2
Suppose 0 = 487*f - 237*f - 750. Determine t so that 33/4*t**f - 21/4*t**4 + 3/4*t**5 - 15/4*t**2 + 0*t + 0 = 0.
0, 1, 5
Let o be (-2)/(-9) - (-33)/(14553/784). Let i(u) be the first derivative of 15/2*u**o - 17 + 5/3*u**3 + 0*u. Factor i(d).
5*d*(d + 3)
Let y = -485 - -493. Let 2*k**5 - 6*k**3 - y*k + 46*k**2 - 15*k**2 - 28*k**2 - 19*k**2 + 4*k**4 = 0. What is k?
-2, -1, 0, 2
Let r(d) be the first derivative of -d**4/12 - 5*d**3/3 - 59*d**2/6 - 15*d - 727. Solve r(g) = 0.
-9, -5, -1
Factor -300*q - 302 + 282*q - 135*q - q**2.
-(q + 2)*(q + 151)
Let p(w) = -3*w**2 + 6*w. Let z(f) = -1 + 1 - 30*f + 99*f**2 - 84*f**2. Let u(a) = a**2 + 7*a + 17. Let x be u(-4). Let o(t) = x*z(t) + 24*p(t). Factor o(b).
3*b*(b - 2)
Solve -68*g + 399/2 + 1/2*g**2 = 0.
3, 133
Let k(n) be the third derivative of -2/15*n**6 - 13/45*n**5 + 0 - 1/18*n**4 + 96*n**2 + 0*n**3 + 0*n. Determine o, given that k(o) = 0.
-1, -1/12, 0
Suppose -65 = -6*z + 319. Solve -27 + 3 - 25*m + z*m**2 - 65*m**2 = 0 for m.
-24, -1
Let n = -71855 - -359277/5. Let k = 52/5 - 48/5. Factor k*y - n*y**2 - 2/5.
-2*(y - 1)**2/5
Let w(t) be the second derivative of -t**5/30 - 57*t**4 - 38988*t**3 - 13333896*t**2 + 46*t + 71. What is h in w(h) = 0?
-342
Let a(r) be the third derivative of r**8/504 - 4*r**7/105 - r**6/20 + 56*r**5/45 - r**4 - 16*r**3 - 10582*r**2. Determine p so that a(p) = 0.
-3, -1, 2, 12
Let t(o) be the second derivative of o**5/40 + 113*o**4/24 + 110*o**3/3 + 109*o**2 - 55*o - 5. Solve t(u) = 0 for u.
-109, -2
Let d(i) be the second derivative of -5*i**4/12 + 2825*i**3/3 - 1596125*i**2/2 + 453*i. Solve d(q) = 0.
565
Suppose 63*w = 58*w + 5. Let m(f) = -3*f**2 - 66*f - 61. Let h(r) = r**2 + 2*r - 1. Let y(i) = w*m(i) + h(i). Factor y(j).
-2*(j + 1)*(j + 31)
Let b(d) be the third derivative of d**6/80 + 13*d**5/20 + 23*d**4/16 - 25*d**3/2 + 5*d**2 - 221. Suppose b(j) = 0. Calculate j.
-25, -2, 1
Let y(d) = -2*d**2 + 4406*d + 4417. Let t(x) = 3*x**2 - 4409*x - 4418. Let w(s) = 3*t(s) + 2*y(s). Factor w(u).
5*(u - 884)*(u + 1)
Let q(w) be the third derivative of 0*w - 1/12*w**3 + 7/144*w**4 + 2*w**2 - 1/72*w**5 - 70 + 1/720*w**6. What is r in q(r) = 0?
1, 3
Let t be (-416)/80*1130/(-2938). Suppose 0 - 14/3*p + 2/9*p**t = 0. Calculate p.
0, 21
Let x be 2 + 0 + (6 - 8). Suppose 0*p + p - 2*t - 23 = x, 0 = -5*p - 2*t + 55. Solve -6*g**2 - 2*g**3 + g**3 - 20*g + 8 + 5*g**4 + p*g**3 + g**3 = 0.
-2, 2/5, 1
Let k be 4/15*((-38)/133 + 1). Let n be 3 + (-3)/(3/(-2)). Determine j so that -4/21 - 2/7*j + 8/21*j**3 - 2/21*j**n + k*j**2 + 0*j**4 = 0.
-1, 1, 2
Let r be (-12)/(-18)*(-3)/(-2). Suppose 0 = -p + 11*l - 10*l + 10, -2*l = p - r. Find x, given that 1/2*x**5 - 1 + 9/2*x + p*x**3 - 3*x**4 - 8*x**2 = 0.
1, 2
Find x such that -13065 - 28620 + 8759 - 456*x + 12717 - 31775 - x**2 = 0.
-228
Find l such that -12*l**4 - 15*l**2 - 18*l**2 + 24*l + 16 + l**5 + 29*l**2 - 3*l**5 - 10*l**3 - 12*l**3 = 0.
-2, -1, 1
Let t = -303730 + 2429843/8. Factor 5/8*v**2 + t*v**3 + 1/4*v - 1/8*v**5 + 0 - 1/8*v**4.
-v*(v - 2)*(v + 1)**3/8
Suppose 0 = 17*c - 2644 - 13591. Let g = c - 6683/7. Determine i so that -6/7*i**3 + 0*i + 0 + g*i**4 + 4/7*i**2 = 0.
0, 1, 2
Factor -2/7*k**2 + 44/7*k - 80/7.
-2*(k - 20)*(k - 2)/7
Let t = -2388 + 2390. Let g(f) be the second derivative of 0 + 0*f**4 - 11*f + 5/42*f**7 - 2/3*f**6 + 0*f**3 + 0*f**5 + 0*f**t. Let g(h) = 0. What is h?
0, 4
Suppose 5 = -11*o + 6*o. Let r(q) = -q**3 + 2*q**2 - q + 1. Let z(p) = 9*p**3 - 28*p**2 - 71*p + 86. Let f(v) = o*z(v) - 4*r(v). Factor f(m).
-5*(m - 6)*(m - 1)*(m + 3)
Let a(k) be the second derivative of 12*k**3 - 1/3*k**4 + 58*k - 34*k**2 + 0. Let a(f) = 0. What is f?
1, 17
Let f be (1/(-10))/((-176)/160). Let b(y) be the second derivative of 0*y**2 + 0 - 9*y + f*y**3 - 1/66*y**4. Determine j, given that b(j) = 0.
0, 3
Let l(d) be the third derivative of 75*d**6/8 - 85*d**5 + 310*d**4/3 - 160*d**3/3 + 275*d**2. Find w, given that l(w) = 0.
4/15, 4
Let s be (8/15)/((-5724)/243 + 24). Factor s*q**4 - 2/5*q**5 + 0 + 0*q + 2/5*q**2 - 6/5*q**3.
-2*q**2*(q - 1)**3/5
Let l(w) = 3*w**2 + 54*w - 48. Let x(o) = -5*o**2 - 54*o + 47. Suppose 2*u - 4*u = -6. Let t(q) = u*x(q) + 4*l(q). Factor t(m).
-3*(m - 17)*(m - 1)
Find s such that 20 + 560*s + 594*s**2 + 957*s**2 + 59*s**2 + 105*s**2 = 0.
-2/7, -2/49
Factor -5*f**4 + 2416*f**2 + 3*f**4 - 608*f**2 - 19558*f**3 + 19112*f**3 - 359*f - 1457*f.
-2*f*(f - 2)**2*(f + 227)
Let f(d) be the third derivative of -d**8/60480 + 2*d**7/945 - 16*d**6/135 - 47*d**5/60 - 72*d**2. Let u(a) be the third derivative of f(a). Factor u(w).
-(w - 16)**2/3
Let k(h) be the second derivative of h**7/210 + h**6/90 - h**5/5 + 17*h**3/3 + 3*h + 10. Let l(b) be the second derivative of k(b). Factor l(j).
4*j*(j - 2)*(j + 3)
Let o(q) = -23*q**2 + 3*q - 33. Let m(v) = 2*v**2 - 2*v + 9. Let u(d) = -11*m(d) - o(d). Suppose u(h) = 0. What is h?
-22, 3
Factor 618 + 136*g**2 - 882*g**4 + 604*g + 24 + 3*g**3 + 881*g**4 - 66 + 32*g**2.
-(g - 16)*(g + 2)**2*(g + 9)
Let a(k) be the first de