i(j) be the first derivative of 2*j**5/5 + 9*j**4 + 2*j**2 - 4*j + 49. Let w(q) = -q**4 - 37*q**3 - 3*q + 3. Let k(y) = 3*i(y) + 4*w(y). Factor k(f).
2*f**3*(f - 20)
Let r(x) be the second derivative of -x**6/30 + 9*x**5/4 - 11*x**4/2 - 9922*x**3/3 + 111804*x**2 - 73*x + 13. Factor r(z).
-(z - 22)**3*(z + 21)
Let y(x) = x**3 + 261*x**2 - 862*x - 1116. Let i(m) = 5*m**3 + 1825*m**2 - 6035*m - 7810. Let g(v) = 2*i(v) - 15*y(v). Factor g(b).
-5*(b - 4)*(b + 1)*(b + 56)
Suppose 7*y - 676 = -2832. Let u be (-584)/y + 24/(-132). Factor -3/7*l**2 + 0*l + u.
-3*(l - 2)*(l + 2)/7
Let u(a) = -a**2 + 487*a - 57808. Let w be u(205). Factor -38/13*t**3 + 0 - 36/13*t**w + 2/13*t.
-2*t*(t + 1)*(19*t - 1)/13
Let a(i) be the third derivative of 7*i**6/480 - 107*i**5/240 + 4*i**4/3 - 7*i**3/6 - 2582*i**2. Let a(r) = 0. What is r?
2/7, 1, 14
Suppose 235 - 61 = 14*i - 134. Let x(l) be the first derivative of 2/15*l**5 + i + 4/9*l**3 - 2/3*l**4 + 4/3*l**2 - 2*l. Factor x(u).
2*(u - 3)*(u - 1)**2*(u + 1)/3
Let q = -241 + 244. Determine g so that 1 - 6*g + 12*g**2 - 31*g**4 - 32*g**q + 22*g**3 + 34*g**4 = 0.
1/3, 1
Let i(u) be the first derivative of 3*u + 16 - 1/12*u**3 + u**2 - 1/16*u**4. Factor i(v).
-(v - 3)*(v + 2)**2/4
Suppose 2*f + 5*p = 40, 2*f = 2*p + 82 - 14. Let a be 15/f - (-5)/2. Factor -18*x**4 + 30*x**4 - 11*x**4 - x**a - 4*x**2 - 2*x**3.
x**2*(x - 4)*(x + 1)
Find o, given that 1639/2*o - 1/4*o**2 - 2686321/4 = 0.
1639
Solve 11865*u - u**3 + 42*u**2 - 5909*u - 2*u**3 - 90 - 5905*u = 0 for u.
-2, 1, 15
Let n(s) = 3*s**4 - s**3 + 4*s**2. Let b(z) = -20*z**4 + 25*z**3 + 55*z**2 - 290*z + 200. Let t(j) = -b(j) - 5*n(j). Find o such that t(o) = 0.
-4, 1, 2, 5
Let v = -43 - -50. Let k = 13 - v. Factor 12*m + 3*m**2 - 21 + 6*m + k*m**2 - 6*m**2.
3*(m - 1)*(m + 7)
Let m(o) be the second derivative of -900601*o**4/54 - 3796*o**3/27 - 4*o**2/9 - 1378*o. Determine u, given that m(u) = 0.
-2/949
Let k = -97349/4 + 24341. Let u(g) be the second derivative of k*g**2 + 35/24*g**3 + 0 + 14*g + 5/48*g**4. Factor u(p).
5*(p + 1)*(p + 6)/4
Suppose 2*q = -2*y + 8, -2*q - 8 + 20 = 4*y. Factor -1200*g**2 - 96*g**3 - y*g**4 + 1200*g**2.
-2*g**3*(g + 48)
Let a = -8 - -8. Suppose 4*s = -3*f + 11, s - 3*f + f = a. Determine w, given that 3*w + 22 - 5*w**s + 7*w - 10 + 3 = 0.
-1, 3
Let f be (-325364)/(-18771) + (-6)/(-2)*-4. Solve 7/3*m + 1/6*m**2 - f = 0.
-16, 2
Let z = -159745 + 159750. Factor 0 - 3/2*q**3 + 2*q + q**2 + 1/4*q**z - 1/4*q**4.
q*(q - 2)**2*(q + 1)*(q + 2)/4
Let j(x) = 27*x**3 + x**2 + 14*x - 15. Let n be j(1). Let c(o) be the second derivative of 0 - 2/3*o**2 - 1/72*o**4 + n*o - 1/6*o**3. Factor c(i).
-(i + 2)*(i + 4)/6
Let y = 2852 - 2847. Let a(i) be the third derivative of -3*i**2 + 0*i + 1/6*i**3 + 0 + 1/360*i**y + 5/144*i**4. Factor a(s).
(s + 2)*(s + 3)/6
Let u = 2702 + -2702. Let i(m) be the third derivative of 5/18*m**4 + 0*m**3 + 1/72*m**6 + 0*m - 1/9*m**5 + u - 21*m**2. Factor i(l).
5*l*(l - 2)**2/3
Let a be (35/20)/7*0. Let r(z) be the first derivative of a*z**3 + 0*z - 14 + 1/8*z**2 + 0*z**5 + 1/24*z**6 - 1/8*z**4. Factor r(n).
n*(n - 1)**2*(n + 1)**2/4
Let j(i) be the first derivative of 0*i - 5/2*i**2 + 0*i**3 + 21 + 5/4*i**4. What is r in j(r) = 0?
-1, 0, 1
Let t(w) be the third derivative of w**8/1680 + w**7/1050 - 3*w**6/200 - w**5/60 + 2*w**4/15 + 2*w**3/5 - 3*w**2 + 80*w. Let t(d) = 0. Calculate d.
-3, -1, 2
Let n(x) be the third derivative of 6*x**7/35 - 151*x**6/30 - 34*x**5/15 + 2682*x**2. What is v in n(v) = 0?
-2/9, 0, 17
Suppose -5*n - 5 = 15, -4*m - 3*n = 0. Let c(k) = -5 + 5 + 1. Let w(p) = p**2 - p - 3. Let b(o) = m*c(o) + 3*w(o). Solve b(v) = 0.
-1, 2
Let w(o) be the third derivative of -o**5/30 + 905*o**4/3 - 3276100*o**3/3 + 3614*o**2. Factor w(f).
-2*(f - 1810)**2
Let v(k) be the third derivative of k**7/168 + k**6/24 - k**5/6 + 7*k**3 - k**2 - k. Let f(z) be the first derivative of v(z). Determine c so that f(c) = 0.
-4, 0, 1
Let u be 4/(-75)*(-14 + (-18 - -12)). Find k such that -u - 2/15*k**2 + 4/5*k = 0.
2, 4
Suppose -1962 = 3*b + 819. Let a = b - -4656/5. Factor 132/5*p + 36/5 + a*p**2.
3*(p + 6)*(7*p + 2)/5
Suppose -5*j + 43 + 97 = 5*k, -4*k + 2*j = -118. Suppose -k - 48 = -11*x. Find m such that m**4 + 5*m**3 + x*m + 14*m**2 - 5*m**2 + 2 + 0*m**3 = 0.
-2, -1
Factor 1/5*n**2 - 166*n + 34445.
(n - 415)**2/5
Let v(h) = -75*h + 832. Let x be v(11). Let r(l) be the third derivative of 1/240*l**5 + 1/24*l**4 + 1/6*l**3 - x*l**2 + 0 + 0*l. Factor r(g).
(g + 2)**2/4
Solve -6*h**3 - 27*h**3 + 224*h**2 + 10*h**4 - 2*h**4 - 144 - 204*h + 149*h**3 = 0.
-12, -3, -1/2, 1
Let j = 5 - -51. Let k = j - 56. Solve -3*q**2 + k*q - 5*q + q + q = 0 for q.
-1, 0
Let f(x) be the second derivative of 7/165*x**6 + 0 + 10/33*x**4 + 0*x**2 - 23/110*x**5 + 28*x - 4/33*x**3. Let f(l) = 0. What is l?
0, 2/7, 1, 2
Let q = -260990 + 522001/2. What is s in -11*s**2 - 85/4*s - 1/4*s**3 - q = 0?
-42, -1
Let y(v) = -72*v**3 + 3*v**2 + 63*v + 54. Let k(d) = 121*d**3 - 7*d**2 - 126*d - 108. Let q(x) = -3*k(x) - 5*y(x). Determine i, given that q(i) = 0.
-3, -1, 6
Let p = 29 + 0. Let c = -17 + p. Factor -15*k + 12*k**3 + 9*k - c*k**2 - 4*k**4 + 10*k.
-4*k*(k - 1)**3
Let q be ((-12)/9 + -1)/(19/(-285)). Suppose 5*w = -5*l + q, -18*l = -5*w - 13*l + 5. Suppose 0*s - 2/7*s**w - 8/7*s**3 + 0 - 8/7*s**2 = 0. Calculate s.
-2, 0
Let t = -22176 + 22201. Let k(r) be the first derivative of -r**2 - t + 12*r - 2/3*r**3. Factor k(a).
-2*(a - 2)*(a + 3)
Suppose 306*b**2 - 306 - 1/2*b + 1/2*b**3 = 0. What is b?
-612, -1, 1
Factor -2*t - 118*t**4 - 3 + 67*t**4 + 50*t**4 + 2*t**3 + 4*t**2.
-(t - 3)*(t - 1)*(t + 1)**2
Suppose 2*l - 2*w - 34 = -0*w, -5*l + 3*w = -91. Let j be (-5)/l*1536/(-204). Find q such that 2/17*q**4 - 16/17*q**2 + 0*q**3 + j + 0*q = 0.
-2, 2
Solve -10 + 15*g**2 - 5/3*g**3 + 4/3*g**5 + 1/3*g - 5*g**4 = 0.
-5/4, -1, 1, 2, 3
Let l be 1/(78 + -74 + 3 + 81/(-12)). Let h(i) be the third derivative of 35/12*i**3 - 2*i**2 + 1/24*i**5 + 0 - 5/6*i**l + 0*i. Find d, given that h(d) = 0.
1, 7
Suppose -248 = -8*i + 192. Factor -188*w**2 - 74*w**4 + 54*w**2 - 121*w**5 + 135*w**5 + i*w - 8 + 146*w**3 + w.
2*(w - 2)*(w - 1)**3*(7*w - 2)
Let y = 1607/42 + -405/14. Factor -32 + y*u**2 + 328/3*u.
4*(u + 12)*(7*u - 2)/3
Suppose 5*p + 23 + 32 = 0. Let y = 31 + p. Factor -8*z - y*z**4 - z**5 + 3*z**3 - 39*z**3 + 6*z**5 - 9*z**5 - 28*z**2.
-4*z*(z + 1)**3*(z + 2)
Let w = 392789 - 1178363/3. Factor -1/2*p**3 + w*p**2 - 2/3*p + 0 - 1/3*p**4 + 1/6*p**5.
p*(p - 2)*(p - 1)**2*(p + 2)/6
Let q be -2 - 0 - (6 + 330/(-35)). Let t(k) = -4*k + 52. Let y be t(13). Determine h so that y - q*h + 2/7*h**2 = 0.
0, 5
Let t(b) be the first derivative of -12*b**2 + 38*b - 8. Let h(q) = -q**2 - 72*q + 113. Let n(f) = -2*h(f) + 7*t(f). Factor n(s).
2*(s - 10)*(s - 2)
Let -39/5*g - 17/5*g**3 + 0 - 11*g**2 - 1/5*g**4 = 0. What is g?
-13, -3, -1, 0
Suppose 0 = 102*u - 97*u - 30. Let w(p) = -5*p**2 + 13*p - 32. Let h(d) = 6*d**2 - 12*d + 34. Let a(q) = u*h(q) + 7*w(q). Suppose a(r) = 0. What is r?
-20, 1
Let a = 1212 - 1258. Let s = a + 146/3. Find t, given that -16/3*t**2 + s*t**4 - 16/3*t + 4*t**3 - 4/3*t**5 + 0 = 0.
-1, 0, 2
Let g(i) be the first derivative of 1/6*i**6 + 0*i**2 - 5/3*i**3 - 14*i - 5/4*i**4 + 0*i**5 + 6. Let y(w) be the first derivative of g(w). Factor y(j).
5*j*(j - 2)*(j + 1)**2
Suppose -747*h + 5129 = 797*h + 744*h - 4023. Factor h*p**3 + 44/7*p - 67/7*p**2 - 9/7 + 4/7*p**4.
(p - 1)*(p + 9)*(2*p - 1)**2/7
Let k(n) = -3*n**2 - 7*n - 2. Let f be k(-2). Suppose -2*g + 4 = f, -5*g + 15 - 5 = -3*r. Let 1/2*d**4 + 0 - 2*d**3 + 2*d**2 + r*d = 0. What is d?
0, 2
Let q(r) = -2*r + 4*r + 5*r - 3*r + 2*r**2. Let p(n) = -2*n**2 - 4*n. Let h = 47 - 51. Let y(z) = h*q(z) - 5*p(z). Suppose y(x) = 0. What is x?
-2, 0
Let o(g) be the first derivative of -g**6/720 + g**5/120 + 9*g**3 - 23. Let a(y) be the third derivative of o(y). Factor a(j).
-j*(j - 2)/2
Suppose -3661*f - 144 = -3665*f. Find d such that 3*d**2 + 3*d**2 + f*d - d**2 + 140 - 16*d + 60*d = 0.
-14, -2
Solve -25229*p**3 + 12621*p**3 - 6600*p + 12613*p**3 - 86000 - 15*p**2 = 0 for p.
-20, 43
Suppose 1041*k = 1033*k + 24. Factor -15*i**3 - 4*i**5 + 15*i**3 + 8*i**2 + 0*i - 52*i**k - 16*i + 24*i**4 + 40*i**2.
-4*i*(i - 2)**2*(i - 1)**2