ctor l(s).
-2*(s + 1)*(s + 4)*(4*s - 1)
Find k such that -12*k**2 + 36*k**2 - 68 - 88 - 6*k**2 - 15*k**2 + 27*k = 0.
-13, 4
Suppose -7*k = -3*k - 3*b - 13, 2*k = -2*b + 24. Suppose -3*x + 59 = 2*z + k, 0 = -x + 5*z - 11. Find o such that 4 + 34*o**2 + 54*o + x*o**2 + 128*o**2 = 0.
-2/11, -1/8
Let q(j) be the third derivative of j**8/448 - j**7/20 + 9*j**6/160 + 81*j**5/20 - 916*j**2. Factor q(g).
3*g**2*(g - 9)**2*(g + 4)/4
Let v(u) be the second derivative of -5/252*u**7 + 0 + 25/36*u**4 + 0*u**6 - 30*u**2 + 51*u - 25/3*u**3 + 5/8*u**5. Determine z, given that v(z) = 0.
-2, 3
Let l = -6054717/7 - -864960. Factor -120/7*h - l*h**2 - 117/7.
-3*(h + 1)*(h + 39)/7
Suppose 11838*b = 11764*b + 148. Let b*z**3 - 1/2*z**4 + 3/2*z**2 - 4 - 5*z = 0. What is z?
-1, 2, 4
Let v = -288 - -288. Suppose 11*s - 44 = -v*s. Factor -59*a**2 + 154/3*a**3 + 88/3*a - 49/3*a**s - 16/3.
-(a - 1)**2*(7*a - 4)**2/3
Let p(v) be the second derivative of 4/3*v**3 + 1 + 2/3*v**4 + 0*v**2 - 166*v + 1/10*v**5. Let p(c) = 0. What is c?
-2, 0
Find a such that 183 + 382 + 556 - 95 - 76 - 5*a**2 - 945*a = 0.
-190, 1
Let x be 3 - 16/(-10) - 4. Suppose 6*w + 27 - 27 = -10*w. Let -x*n**2 + w - 3/5*n = 0. What is n?
-1, 0
Let c = -882143/4 + 220541. Factor 12*z - 9 + 3/4*z**3 - c*z**2.
3*(z - 3)*(z - 2)**2/4
Let n(m) = -54*m - 1400. Let c be n(-26). Let i(q) be the first derivative of q + 10 + 31/18*q**3 - 17/24*q**c - 23/12*q**2 + 1/10*q**5. Factor i(o).
(o - 3)*(o - 1)**2*(3*o - 2)/6
Let l(q) be the third derivative of -q**7/210 - 11*q**6/120 - 3*q**5/10 + 12*q**2 - 9*q. Determine p so that l(p) = 0.
-9, -2, 0
Let d(y) be the second derivative of y**6/3 - 119*y**5/4 + 875*y**4/12 - 145*y**3/3 - 1070*y. Find r, given that d(r) = 0.
0, 1/2, 1, 58
Solve -17*n - 78/5 - 6/5*n**2 + 1/5*n**3 = 0.
-6, -1, 13
Let p(f) be the second derivative of f**6/60 + f**5/40 - 37*f**4/8 + 535*f**3/12 - 325*f**2/2 - 2*f + 956. Factor p(o).
(o - 5)**2*(o - 2)*(o + 13)/2
Let n(o) be the second derivative of o**6/120 - o**4/8 + o**3/3 - 30*o**2 + 56*o. Let b(v) be the first derivative of n(v). Factor b(y).
(y - 1)**2*(y + 2)
Let m be 16055/105 + 16/168. Let f be 50/126 + (-17)/m. Determine x so that f*x**3 - 10/7*x**2 + 6/7*x + 18/7 = 0.
-1, 3
Let z(j) be the second derivative of 9*j**7/70 + j**6/25 - 189*j**5/100 + 2*j**4 + 6*j**3/5 - 219*j + 1. Suppose z(u) = 0. Calculate u.
-3, -2/9, 0, 1, 2
Let w(m) be the first derivative of -m**3/12 - 95*m**2 - 36100*m - 460. Find b, given that w(b) = 0.
-380
Solve 130321/2*g**2 + 2 - 722*g = 0.
2/361
Suppose 1665*o = 1666*o - 21 + 2. Let v(f) be the second derivative of -1/6*f**2 + 1/20*f**6 + 0 + 1/40*f**5 + o*f + 13/36*f**3 - 23/72*f**4. Factor v(l).
(l - 1)*(l + 2)*(3*l - 1)**2/6
Let s be 7/112*6*(6 + 2). Suppose -4*n - 837*t + 842*t = 13, -n = t - 8. Determine l so that 0 + 3/2*l**s - n*l**2 + 3/2*l = 0.
0, 1
Let y(o) be the first derivative of o**6/3780 - o**5/420 - 55*o**3/3 + 55. Let t(i) be the third derivative of y(i). Find m such that t(m) = 0.
0, 3
Let c be ((-5)/411)/((-9)/54*2). Let k = c + 4501/548. Suppose 3/4*b**3 + 21/4*b**2 + 15/4 + k*b = 0. What is b?
-5, -1
Factor -2/3*w**3 - 32/3*w - 80/9*w**2 + 0.
-2*w*(w + 12)*(3*w + 4)/9
Let v = -198 + 200. Factor -6*j**3 + 3*j**v - 12*j**2 + 11*j**3 - 2*j**3.
3*j**2*(j - 3)
Let s(a) = 3*a + 74. Let l be s(-23). Find y such that 18*y**2 + 6*y**2 - 4*y**3 - 16*y - 6*y**4 - 31*y**5 + 19*y**l + 14*y**5 = 0.
-2, 0, 1, 2
Let h = 2/2225473 - -2225461/13352838. Suppose 1/3*b**3 - h*b**2 + 0*b + 0 - 1/6*b**4 = 0. What is b?
0, 1
Let s(j) = -j**3 + 5*j**2 - 4*j + 5. Let y be s(3). Suppose 0 = y*z - 9*z. Factor -4/3*c**2 - 4/3*c**3 + 0 + z*c.
-4*c**2*(c + 1)/3
Let c = -19 - -44. Let q = 28 - c. Factor -4*l**4 + l**2 + 4*l**3 + 7*l**5 - 8*l**q + 3*l**2 - 3*l**5.
4*l**2*(l - 1)**2*(l + 1)
Let q(s) = s**3 - 9*s**2 + 19*s - 8. Let u be q(6). Let f be 0/(0 - 4/u). Factor 2*d - 1/2*d**2 + f.
-d*(d - 4)/2
Let x = -1323074 - -1323076. Solve -70/3 + 5/6*o**x - 5/2*o = 0 for o.
-4, 7
Let o be (7518/(-63))/(2/(-3)). Let p(n) = -n**3 - n**2 + 3*n + 3. Let r be p(-2). Factor -r - 24 - 89*y**3 - 142*y**2 - 16*y**4 - 63*y**3 - o*y**2 + 190*y.
-(y + 5)**2*(4*y - 1)**2
Let a(n) be the second derivative of -n**7/189 + 2*n**6/27 - 7*n**5/30 - 20*n**4/27 + 100*n**3/27 - 3554*n. Find d such that a(d) = 0.
-2, 0, 2, 5
Suppose -3*z = -n - 33, -2*z - z = -4*n - 42. Let -8 - 24*k**4 + z*k**2 + 7*k**4 + 15*k**4 = 0. What is k?
-2, -1, 1, 2
Suppose -6*c + 987 - 963 = 0. Let t be ((-153)/72)/(c/(-16)). Factor -t*k + 27/2*k**4 - 45/2*k**2 - 27/2*k**3 - 1.
(k - 2)*(3*k + 1)**3/2
Let b be (-36)/120*-165*(-8)/(-6). Suppose b*k = -45*k. Factor k*x + 0 + 1/8*x**2 - 1/2*x**3.
-x**2*(4*x - 1)/8
Let b(r) be the third derivative of r**7/42 - 25*r**6/24 - 259*r**5/12 - 1075*r**4/24 + 1375*r**3 + 759*r**2. Solve b(l) = 0 for l.
-5, 2, 33
Let q(p) be the third derivative of p**6/30 + 4*p**5/27 + 13*p**4/54 + 4*p**3/27 - 635*p**2. Suppose q(u) = 0. Calculate u.
-1, -2/9
Let n(v) = -2*v - 22. Let f be n(-12). Suppose -f*a + 4*d = -12, -a - d + 0 = -9. What is x in -2 + 29*x**2 + 28*x**2 - a*x - 47*x**2 = 0?
-1/5, 1
Determine o so that -243/2 + 735/4*o - 63*o**2 + 3/4*o**3 = 0.
1, 2, 81
Let i(a) be the first derivative of 6*a**5/25 + 87*a**4/10 + 32*a**3 + 156*a**2/5 - 2229. Factor i(b).
6*b*(b + 1)*(b + 2)*(b + 26)/5
Let z(o) = o**3 + 11*o**2 + 11*o - 24. Let k be z(-10). Let y = -31 - k. Factor -4 + 4*g - y*g**5 - 8*g**3 - 4*g**4 + 8*g**2 + 7*g**5 + 3*g**2 - 3*g**2.
4*(g - 1)**3*(g + 1)**2
Let -94*m**3 + 63*m - 42*m**4 + m**4 + 369*m**2 - 29*m**3 - 4*m**4 + 3*m**5 - 267*m = 0. Calculate m.
-4, 0, 1, 17
Let b(p) = -3*p**4 + 84*p**3 - 2*p**2 - 270*p + 183. Let c(w) = 4*w**4 + 7*w**3 - w**2 - w - 1. Let l(o) = b(o) + c(o). Find v, given that l(v) = 0.
-91, -2, 1
Let b(a) be the second derivative of -2*a**7/105 - 6*a**6/25 - 8*a**5/25 - 790*a. Determine u, given that b(u) = 0.
-8, -1, 0
Let y = 37 - 38. Let d be (y + 1 + 2)*(-1)/(-1). Determine w so that 5 - 6 + 35*w + 4*w**d - 38*w = 0.
-1/4, 1
Let v(t) = -t**3 - 44*t**2 - 123*t + 2. Let y be v(-41). Factor -125*p**y + 237*p**2 + 81*p + 84 - 115*p**2.
-3*(p - 28)*(p + 1)
Let c = 23744 - 261182/11. Find z, given that -4/11*z**2 - c*z**5 - 2/11*z + 2/11*z**4 + 4/11*z**3 + 2/11 = 0.
-1, 1
Let d = -1796 + 1841. Let j be d/30 - 1/4. Factor 1/2*f**2 - 1/4*f**5 - f**3 - f**4 + 1/2 + j*f.
-(f - 1)*(f + 1)**3*(f + 2)/4
Let q(x) = 4*x**2 - 604*x - 796. Let z(h) = -5*h**2 + 602*h + 889. Let r(p) = 3*q(p) + 2*z(p). Factor r(k).
2*(k - 305)*(k + 1)
Let n(p) = -4*p**3 - 147*p**2 - 4491*p + 4621. Let g(v) = -5*v**3 - 151*v**2 - 4492*v + 4620. Let i(x) = -3*g(x) + 4*n(x). Factor i(b).
-(b - 1)*(b + 68)**2
Solve -14*j**2 + 11*j**2 - 2 + 96*j - 334 = 0.
4, 28
Let c(r) be the second derivative of -7/15*r**3 + 1/30*r**4 + 0*r**2 + 0 + 10*r. Find u such that c(u) = 0.
0, 7
Solve -17*i**3 + 2*i**5 + 28*i**2 - 10*i**2 + 46*i**3 - 2*i**5 + 12*i**4 + i**5 = 0 for i.
-9, -2, -1, 0
Suppose -4*z = 3*w - 163 + 82, -2*w + 4*z = 66. What is s in -206/3*s**w - 1/3*s**5 + 50/3 - 67*s + 18*s**4 + 304/3*s**2 = 0?
1, 50
Let t(f) be the first derivative of 4*f**3/3 + 206*f**2 - 416*f + 4890. Factor t(h).
4*(h - 1)*(h + 104)
Let q = 11198 - 11196. Let i(m) be the first derivative of 1/3*m**6 + 13*m**4 - 18/5*m**5 - 33 - 10*m - 68/3*m**3 + 21*m**q. Find s such that i(s) = 0.
1, 5
Let n = -383/2 - -197. Suppose 1378*u + 1245 = 1627*u. What is m in -7/2*m**u + 0*m + 0 + m**2 + 8*m**4 - n*m**3 = 0?
0, 2/7, 1
Let d = 203 - 98. Suppose -1 + d - 3*r**2 - 971 - 102*r = 0. What is r?
-17
Let o(u) be the first derivative of -7*u**4/8 - 199*u**3/2 - 379*u**2/2 - 84*u + 23. Factor o(y).
-(y + 1)*(y + 84)*(7*y + 2)/2
Suppose 196 = -20*v + 836. Let z(t) = -2*t + 67. Let q be z(v). Suppose a**q + 0 + 4/5*a**2 - 1/5*a = 0. Calculate a.
-1, 0, 1/5
Let v = 1304968/1196261 - -4/108751. Factor v*y + 10/11 + 2/11*y**2.
2*(y + 1)*(y + 5)/11
Let u(g) be the first derivative of g**7/1400 + g**6/120 - 115*g**3/3 + 204. Let r(n) be the third derivative of u(n). Factor r(s).
3*s**2*(s + 5)/5
Suppose -29830*b - 98596/5 + 628/5*b**4 + 2/5*b**5 - 1888/5*b**2 + 49292/5*b**3 = 0. Calculate b.
-157, -1, 2
Let x be 2 - 8 - (-1150)/184. Let t(z) be the second derivative of x*z**