((-2)/50). Let u = -41 + v. What is b in -2*b**u + 3*b + 3*b**5 + 27*b**2 + 5*b**4 - 33*b**2 + 3 - 6*b**3 = 0?
-1, 1
Factor -5/3*n**3 - 4*n**2 - 3*n - 2/3.
-(n + 1)**2*(5*n + 2)/3
Suppose -78*w + a - 25 = -83*w, -w - 16 = -4*a. Let m(q) be the second derivative of -10*q + 5/18*q**w + 0 - 1/9*q**3 + 1/5*q**5 + 0*q**2. Factor m(n).
2*n*(n + 1)*(6*n - 1)/3
Solve 74286*h - 148521*h - 107 + h**2 + 74341*h = 0.
-107, 1
Find m such that -11*m**2 + 118 - 215*m + 10*m**2 - 214*m + 436*m + 110 = 0.
-12, 19
Let z(a) = 16*a. Let i be z(2). Solve -54 - 6*j + 17 - j**2 + i = 0 for j.
-5, -1
Factor -1/5*y**3 - 209/5*y + 1444/5 - 34/5*y**2.
-(y - 4)*(y + 19)**2/5
Factor -21175*k**2 - 2*k**4 + k**3 + 21189*k**2 + 11*k**3.
-2*k**2*(k - 7)*(k + 1)
Let s = -689 - -692. Let v(p) = -7*p + 21. Let n be v(s). Factor 4/3*d**3 + 12*d + n - 8*d**2.
4*d*(d - 3)**2/3
Suppose 14 = r + 4*r + 2*z, 0 = -3*r + 4*z - 2. Let b = 100 - 58. Let 8*u**r - 12*u + 61 - 36 - 33 + b*u = 0. What is u?
-4, 1/4
Let w(f) = -f**3 - 9*f**2 - 23*f - 18. Let o be w(-6). Determine d so that -3*d**3 - 44*d + 7*d - 2*d**3 + 30 + 40*d**2 - 16*d - o*d = 0.
1, 6
Let l(n) = -n**2 - 3*n + 28. Let u be l(4). Suppose -j + 2*s + 44 = 0, -2*j - 5*s = -u*j - 79. Factor -j*m**2 + 45*m**2 - m - m**4 - 3 + m**3 + 1.
-(m - 2)*(m - 1)*(m + 1)**2
Let n(i) be the third derivative of i**5/30 + 29*i**4/12 - 61*i**3/3 + 4*i**2 - 34*i. Let z be n(-31). Factor 0 + 1/9*a - 1/3*a**3 - 2/9*a**z.
-a*(a + 1)*(3*a - 1)/9
Determine b, given that -5355*b + 4947*b + 5*b**3 - 52*b**2 - 1008 - 7*b**3 = 0.
-14, -6
Let l(z) be the first derivative of -7*z**6/2 + 183*z**5/5 - 183*z**4/2 + 44*z**3 + 36*z**2 + 1041. Find k such that l(k) = 0.
-2/7, 0, 1, 2, 6
Let u be (-64)/(-288) - 22478/63. Let w = u + 357. Let 0 - w*b + 3/7*b**2 = 0. Calculate b.
0, 1
Let r(c) = -c**2 - 27*c - 171. Let j be r(-13). Factor -13*d**4 + 12*d**2 - 9*d + 2*d**3 - j*d**4 - d**4 + 21*d**4 - d**5.
-d*(d - 1)**2*(d + 3)**2
Let o(c) = -c**3 - 16*c**2 + 23*c + 59. Let d be o(-8). Let g be (-4)/(224/d) - 11. Factor 0 + 3/2*h - 3/8*h**5 + 27/8*h**3 + 33/8*h**2 + g*h**4.
-3*h*(h - 4)*(h + 1)**3/8
Let x = -92930 + 92934. Factor 0*s**3 - 3*s - 3/2*s**x + 0 + 9/2*s**2.
-3*s*(s - 1)**2*(s + 2)/2
Let x(y) = -17*y - 84. Let t be x(-5). Let s be ((-5)/(-25)*0)/t. Factor 0*d - 1/3*d**2 + s.
-d**2/3
Let d = -64 + 70. Let n be ((-84)/18)/(d/(-9)). Factor -68*a + 131*a - n + 21*a**2 + 34 - 15*a**3.
-3*(a - 3)*(a + 1)*(5*a + 3)
Find d such that 1/2*d**2 + 3079/2 + 1540*d = 0.
-3079, -1
Suppose 110*r = -5*t + 107*r, -5*t + r = -20. Suppose -t*l + 2*z = 13 - 19, 2*l - 2*z = 4. Determine i so that -405/2 - 5/2*i**l + 45*i = 0.
9
Let p be (35 - -8) + (-2145)/(-33). Find s, given that p + 12*s + 1/3*s**2 = 0.
-18
Let q(c) be the second derivative of 1/18*c**4 + 0*c**2 - 4/27*c**3 - 6 + 1/90*c**5 + 2*c. Factor q(f).
2*f*(f - 1)*(f + 4)/9
Let z = -1104807/7 - -157830. Find o such that -z*o**2 + 10/7 + 13/7*o = 0.
-2/3, 5
Suppose 118 = 2*g - 82. Let q be (g/(-6))/((-2)/18). Determine t so that -q - 3*t**2 + 2*t**2 + 149 - 2*t = 0.
-1
Suppose -121 + 14*a**2 - 225*a + 113*a + 5 + 25*a**4 + 113*a**3 - 30*a**5 + 77*a**2 + 29*a**5 = 0. Calculate a.
-2, -1, 1, 29
Suppose 24*u - 280 = -64. Let b be (12*u/135)/(3/5). Factor 52/3*t**3 - 16*t**2 - 28/3*t**4 + 2*t**5 + 22/3*t - b.
2*(t - 1)**4*(3*t - 2)/3
Let h(a) = a**2 + a + 1. Let g(f) = -2*f**2 + 7*f + 4. Let k = -41 + 42. Suppose -2 = -3*l + k. Let u(x) = l*g(x) + 5*h(x). Factor u(r).
3*(r + 1)*(r + 3)
Suppose -556*r + 57*r = -1559 - 4928. Let l(k) be the third derivative of -5*k**3 - r*k**2 + 0*k + 1/8*k**6 + 0 + 125/24*k**4 - 11/6*k**5. Factor l(d).
5*(d - 6)*(d - 1)*(3*d - 1)
Let l = 19/30 - 11/20. Let x(p) be the third derivative of 0*p + 0 + 1/180*p**6 + 4*p**2 + l*p**4 + 1/9*p**3 + 1/30*p**5. Factor x(m).
2*(m + 1)**3/3
Let 38/5*u**4 + 466/5*u**3 + 72*u + 1488/5*u**2 + 0 = 0. Calculate u.
-6, -5/19, 0
Let z(x) be the second derivative of -x**4/48 - 97*x**3/6 + 389*x**2/8 + 2574*x. Factor z(g).
-(g - 1)*(g + 389)/4
Let t(k) be the first derivative of -3*k**5/20 - 3*k**4/32 + k**3/4 + 3*k**2/16 + 702. Suppose t(r) = 0. What is r?
-1, -1/2, 0, 1
Let x(m) be the second derivative of m**7/70 - 63*m**6/50 + 2673*m**5/100 + 3267*m**4/20 + 2008*m. Factor x(l).
3*l**2*(l - 33)**2*(l + 3)/5
Let y = -1055/22 - -1588/33. Factor y*o**2 - 19/6*o - 10/3.
(o - 20)*(o + 1)/6
What is s in 22*s - 1/2*s**2 - 43/2 = 0?
1, 43
Let i(r) be the second derivative of 19/30*r**5 + 1 + 4/9*r**3 + 11/3*r**4 + 9*r - 88/3*r**2 - 1/45*r**6. Let i(t) = 0. Calculate t.
-2, 1, 22
Let o(m) be the second derivative of -m**7/3780 + m**6/120 - 2*m**5/45 - 23*m**4/12 - m**2/2 + 4*m - 30. Let u(n) be the third derivative of o(n). Factor u(j).
-2*(j - 8)*(j - 1)/3
Let w(h) be the second derivative of -h**7/3780 + h**6/135 - h**4/12 + 23*h**3/3 - 19*h. Let u(s) be the third derivative of w(s). Factor u(n).
-2*n*(n - 8)/3
Let m be 4/6 + (-3)/(-9). Let c be (m/(-3))/((-14)/84). Determine n so that 5*n**4 + 3*n - 2*n**3 - n**c - 6*n**4 - 3*n = 0.
-1, 0
Suppose -426 + 2558/3*y + 2/3*y**3 - 1282/3*y**2 = 0. Calculate y.
1, 639
Suppose -4*i = -3*i. Suppose 3*x + 12 - 27 = i. Factor -35*u**4 - 65*u + 12 - 110*u**2 - 5*u**x - 90*u**3 - 31 + 4.
-5*(u + 1)**4*(u + 3)
Let o = -16 - -39. Suppose 2*x - 12*x - o - 2*x**2 - x**2 + 31 = 0. What is x?
-4, 2/3
Let o(q) be the third derivative of 49*q**5/240 + 77*q**4/12 + 242*q**3/3 - 9*q**2 - 96*q. Factor o(r).
(7*r + 44)**2/4
Let r be ((-9)/4)/(7/(196/(-21))). Factor 2*k**r + 225*k + 4*k**3 - k**3 + 54*k**2 + 6*k**2 + 270.
5*(k + 3)**2*(k + 6)
Let t(l) be the third derivative of 10/3*l**4 - 8/3*l**3 + 13/30*l**6 + 0 - 32*l**2 + 37/15*l**5 + 0*l. Determine g so that t(g) = 0.
-2, -1, 2/13
Let v(h) be the third derivative of h**5/15 + 197*h**4/6 + 392*h**3/3 + 1746*h**2. Factor v(c).
4*(c + 1)*(c + 196)
Let d(g) be the first derivative of -4 - 8*g - 1/4*g**4 - 6*g**2 - 2*g**3. Factor d(h).
-(h + 2)**3
Find k, given that -117*k**3 + 33*k**3 + 368*k + 20*k**3 - 39*k**3 - 85*k**3 - 176*k**2 - 4*k**4 = 0.
-46, -2, 0, 1
Let l = 8/5 - 27/20. Suppose 2*f = 4*b + 86, 6*f + 5*b + 103 = 19*f - 12*f. Solve o**2 - l*o**5 + 0 - 1/4*o - 3/2*o**f + o**4 = 0.
0, 1
Let i(q) be the first derivative of 5/4*q**4 - 5/2*q**2 + 10*q - 10/3*q**3 - 83. Solve i(d) = 0.
-1, 1, 2
Let j be 0*(1*(-6)/12)/(-1)*2. Solve 17/3*r**3 - 11/3*r**2 + 11/3*r**4 + j - 6*r + 1/3*r**5 = 0 for r.
-9, -2, -1, 0, 1
Let v(q) be the first derivative of q**5/80 - q**4/8 - 3*q**3/2 - 19*q**2/2 + 3*q + 143. Let d(t) be the second derivative of v(t). Factor d(k).
3*(k - 6)*(k + 2)/4
Let u(l) be the second derivative of -l**4/36 - 2*l**3/9 + 16*l**2 + 721*l. Let u(m) = 0. Calculate m.
-12, 8
Factor -71*d**2 + 148/5*d**3 - 10*d - 3*d**4 + 0.
-d*(d - 5)**2*(15*d + 2)/5
Let i(b) = -8*b - 187. Let k be i(-23). Let u be -6 + -1 + 7 - 6/k. Factor 2/5*n**3 - 2/5*n + 1/5 + 0*n**u - 1/5*n**4.
-(n - 1)**3*(n + 1)/5
Factor -80 - 149*p**3 + 77*p**3 - 5*p + 77*p**3 + 80*p**2.
5*(p - 1)*(p + 1)*(p + 16)
Factor 352*w**3 + 6534 - 175*w**3 + 138*w**2 - 179*w**3 - 2574*w.
-2*(w - 33)**2*(w - 3)
Let u(z) = 2*z**3 + 6*z**2 + 6*z + 105 - 105 + 6*z**4 - 2*z**5. Let o(a) = a**4 + a**2 + a. Let d(f) = -12*o(f) + 2*u(f). Solve d(h) = 0.
-1, 0, 1
Let u(p) be the third derivative of -p**7/210 + 7*p**6/120 + 3*p**5/10 - 4842*p**2. Factor u(i).
-i**2*(i - 9)*(i + 2)
Let q(l) be the third derivative of -l**8/420 + 13*l**7/105 - 169*l**6/90 - 59*l**3/6 + 6*l**2 + 3. Let o(j) be the first derivative of q(j). Factor o(t).
-4*t**2*(t - 13)**2
Let v(o) be the third derivative of o**7/735 + 9*o**6/140 - 7*o**2. What is l in v(l) = 0?
-27, 0
Let l(b) be the second derivative of 7*b**6/720 + b**5/15 + b**4/16 + 38*b**2 + 46*b. Let q(v) be the first derivative of l(v). Let q(m) = 0. What is m?
-3, -3/7, 0
Suppose -2*b + 2*d + 10 = 2*b, -5*b + 2*d = -12. Suppose b*u**2 + 271*u - 9*u**3 - 271*u + 4*u**4 = 0. What is u?
0, 1/4, 2
What is k in -41126*k**2 - 41127*k**2 - 37895045 + 82248*k**2 - 12088*k - 3056*k - 12386*k = 0?
-2753
Factor 2013/5*m**2 + 6003/5 - 8013/5*m - 3/5*m**3.
-3*(m - 667)*(m - 3)*(m - 1)/5
Let r(n) be the second derivative of 3*n**5/10 + n**4/4 - n**3/2 - 76*n + 5. Factor r(f).
3*f*(f + 1)*(2*f - 1)
Suppose -24