s**2 - 566 + l - 8*s.
-(s - 2)*(s + 10)
Let y(d) be the second derivative of 1/120*d**6 + 1 + 0*d**2 - 1/8*d**3 - 1/48*d**4 + 3/80*d**5 - 4*d. Factor y(m).
m*(m - 1)*(m + 1)*(m + 3)/4
Let t be (-3)/27*16*11/(-44). Suppose 1/3*q**3 + 0*q**2 + 1/9*q**5 + 0 + 0*q + t*q**4 = 0. Calculate q.
-3, -1, 0
Let o(y) = y**3 - 5*y**2 + 5*y - 2. Let q be o(4). Suppose -q*h = -4*a + 6, -3*a - 3*h + 21 = h. Factor 1036 + a*b**2 - 1048 + 0*b**2.
3*(b - 2)*(b + 2)
Let q(f) = f**3 - 118*f**2 - 7966*f + 99. Let p be q(-48). Factor -22/3*j + 2/9*j**p - 34/9 - 10/3*j**2.
2*(j - 17)*(j + 1)**2/9
Let f be (-1)/4 - (-34)/8. Let s = -76 + 84. Factor s*x**2 + x**f - 3*x**4 + 0*x**4 + 6*x**3.
-2*x**2*(x - 4)*(x + 1)
Let y(p) be the second derivative of p**6/120 - 31*p**5/10 + 2521*p**4/8 + 3875*p**3/3 + 15625*p**2/8 - 2*p + 289. Factor y(s).
(s - 125)**2*(s + 1)**2/4
Let r(v) = -4*v**3 - 59*v**2 - 212*v + 285. Let d(n) = 2*n**3 + 30*n**2 + 106*n - 142. Let b(q) = -5*d(q) - 2*r(q). Factor b(m).
-2*(m - 1)*(m + 7)*(m + 10)
Factor -16/7 - 625/7*m**2 - 3125/7*m**5 - 200/7*m + 3125/7*m**4 + 625/7*m**3.
-(5*m - 4)**2*(5*m + 1)**3/7
Find f, given that -2/15*f**5 + 550*f - 136/5*f**3 + 600 + 4*f**4 - 244/3*f**2 = 0.
-4, -1, 5, 15
Let y = -52 - 38. Let q = y - -92. Factor -20*k**3 + 3*k**2 - 4*k - 4 + k**q + 24*k**3.
4*(k - 1)*(k + 1)**2
Let v(o) be the third derivative of -o**4/24 - 9*o**2. Let u(i) = i**3 - 16*i**2 - 2*i. Let w(k) = -3*u(k) + 6*v(k). Find q such that w(q) = 0.
0, 16
Let o = -15668 + 15697. Let t(h) be the second derivative of -13/60*h**4 + 0 + 2/25*h**5 - 1/150*h**6 + 0*h**2 - o*h + 1/5*h**3. Solve t(b) = 0 for b.
0, 1, 6
Let h(a) be the third derivative of 0*a**3 + 0*a - 1/1890*a**7 - 1/3024*a**8 + 1/90*a**6 + 0*a**5 + 0*a**4 + 0 - 122*a**2. What is u in h(u) = 0?
-4, 0, 3
Let q be ((-2)/42 + 4/(-14))*-3. Let b(g) = -4*g**2 - 52*g - 80. Let f(k) = 1. Let r(d) = q*b(d) - 8*f(d). Determine o, given that r(o) = 0.
-11, -2
Let i be (-15 + 12)*(305/(-9))/1. Let z = -100 + i. Solve 0 - z*u**5 - 5/3*u**2 + 5/3*u**4 + 0*u + 5/3*u**3 = 0 for u.
-1, 0, 1
Let m = -2672 + 2672. Let y(a) be the third derivative of 2*a**2 + m + 7/3*a**4 + 0*a - 98/3*a**3 - 1/15*a**5. Determine z so that y(z) = 0.
7
Let m(h) be the second derivative of -3*h**6/35 - 699*h**5/35 + 156*h**4/7 - 4720*h. Factor m(y).
-6*y**2*(y + 156)*(3*y - 2)/7
Suppose 45*c + 20*c + 31*c = 192. Let d(p) be the second derivative of -4/9*p**3 - 1/18*p**4 + 0 - 7*p - p**c. Factor d(w).
-2*(w + 1)*(w + 3)/3
Let m(k) be the second derivative of -13*k**6/25 + 27*k**5/100 + k**4/10 - 567*k - 5. Factor m(p).
-3*p**2*(2*p - 1)*(13*p + 2)/5
Let k(j) be the second derivative of 36*j**2 + 1/15*j**6 + 2 + 13*j - 20*j**3 + 13/6*j**4 + j**5. Let k(m) = 0. What is m?
-6, 1
Let x(p) be the second derivative of p**4/12 - 5*p**3/3 + 13*p**2/2 + 5*p. Let m be x(9). Factor -140*h**5 - 7*h**3 + 2*h**3 - 10*h**m + 135*h**5.
-5*h**3*(h + 1)**2
Let a be (0 + 6)/(5 - 52/12). Let l be (20/(-10))/((-3)/a + 0). Solve -5*v**2 - l*v - 14*v + 74 + 5*v - 24 = 0.
-5, 2
Let q(y) be the first derivative of -3*y**5/10 + 153*y**4/8 - 141*y**3 + 411*y**2 - 540*y - 3187. Factor q(s).
-3*(s - 45)*(s - 2)**3/2
Let w = 1623907/7 + -231985. Let 0 + w*s**2 - 2/7*s**4 + 0*s + 2/7*s**3 = 0. Calculate s.
-2, 0, 3
Factor -82*s**3 + 22*s**3 + 29*s**3 - 42*s**2 + 28*s**3.
-3*s**2*(s + 14)
Let n(y) = -8*y**2 - 358*y + 388. Let q(a) = 10*a**2 + 357*a - 400. Let v(w) = -3*n(w) - 2*q(w). Factor v(x).
4*(x - 1)*(x + 91)
Let i(p) be the first derivative of p**3/6 + 123*p**2/2 + 15129*p/2 + 479. Factor i(q).
(q + 123)**2/2
Let k be 6 + (-4 - -3)*2. Factor -84*d**2 + 1359*d + 112 + 0*d**4 + 40*d**3 - 4*d**k - 1375*d.
-4*(d - 7)*(d - 2)**2*(d + 1)
Let r(v) = 2*v**2 + 1. Let u be (-3)/6 + ((-9)/6 - -1). Let x(p) = 849*p**2 + 58*p + 5. Let d(a) = u*x(a) + 4*r(a). Factor d(g).
-(29*g + 1)**2
Let q(n) be the third derivative of -n**7/315 + n**6/270 + 8*n**2 - 23*n. Let q(g) = 0. Calculate g.
0, 2/3
Suppose -26*t - 31863 = -83*t. Let w = t - 554. Find i, given that -4/21 + 6/7*i + 2/21*i**w - 4/7*i**4 + 4/3*i**3 - 32/21*i**2 = 0.
1, 2
Let u(p) be the first derivative of 3*p**4/32 - 41*p**3/8 + 51*p**2/2 + 333*p/2 - 4784. Factor u(s).
3*(s - 37)*(s - 6)*(s + 2)/8
Let y be 18/(-33) - (-14 + (-1036)/(-77)). Let d(n) be the first derivative of 1/9*n**3 - 1/15*n**5 + y*n - 1/12*n**4 + 1/6*n**2 - 10. Factor d(c).
-c*(c - 1)*(c + 1)**2/3
Let s be ((13 - 12)*(0 - -1))/(-1). Let z be (s - -1)/(-23 - -25). Find y such that z*y + 1/2*y**2 + 0 = 0.
0
Let q = 113267 + -113265. Determine v so that -15/2*v**3 - 66*v - 16 - 68*v**q = 0.
-8, -2/3, -2/5
Let b = 535223 + -535223. Find n such that 0*n + b + 1/7*n**4 - 1/7*n**3 + 0*n**2 = 0.
0, 1
Determine w so that 178/3*w**4 + 1154*w**3 + 4312/3*w - 2*w**5 + 0 + 4690*w**2 = 0.
-7, -1/3, 0, 44
Suppose 72 = 2*v + 28. Suppose -y = -0*y - v. Factor 18*j**4 + y*j**2 - 2*j**5 - 17*j**4 - 4*j**2 - 6*j**3 - 11*j**4.
-2*j**2*(j - 1)*(j + 3)**2
Let v(r) = -r**2 - 5*r + 8. Let i(x) = 2*x**2 + 16*x - 24. Let g = 3 - -1. Suppose -31 = g*t - 19. Let o(w) = t*i(w) - 8*v(w). Factor o(m).
2*(m - 2)**2
Let q be 1/3*48/(-3) + -36 + (11 - -35). Factor -35/3*l + 22/3 - 1/3*l**3 + q*l**2.
-(l - 11)*(l - 2)*(l - 1)/3
Find o such that 256/7*o**2 + 7*o**3 + 3/7*o**4 + 128/7 + 464/7*o = 0.
-8, -4, -1/3
Suppose -26*q = 5233 + 305. Let g = q - -218. Find u such that -3/4*u**2 + 0*u**4 + 3/2*u**3 + 3/4 - 3/8*u**g - 9/8*u = 0.
-2, -1, 1
Let p(m) be the first derivative of m**3 - 87*m**2 - 2277*m - 3795. Let p(d) = 0. What is d?
-11, 69
Let h(k) be the third derivative of -k**6/90 - 8*k**5/15 + 6*k**4 - 65*k**3/6 - 18*k**2. Let r(f) be the first derivative of h(f). Factor r(w).
-4*(w - 2)*(w + 18)
Let r = -2/213405 + 142276/640215. Solve 200/9 + r*u**2 + 40/9*u = 0.
-10
Factor 1452/7 + 1455/7*t + 3/7*t**2.
3*(t + 1)*(t + 484)/7
Factor -16170 + 5531 - 4*q**2 + 4503 - 368*q + 5068.
-4*(q + 3)*(q + 89)
Factor 94/3*m**2 + 2/3*m**3 - 6760/3 + 832/3*m.
2*(m - 5)*(m + 26)**2/3
Let d(c) = c**3 - 438*c + 762. Let m be d(20). Let -21/2*j**m + 12*j - 9/4 + 27/4*j**4 - 18*j**3 = 0. What is j?
-1, 1/3, 3
Let x be (-18 + 23 + -5)*(-4)/(-4). Find i such that -14/3*i**4 + x*i + 4/3*i**2 - 26/3*i**3 + 0 = 0.
-2, 0, 1/7
Let b(v) be the third derivative of 1/1155*v**7 - 500/33*v**3 - 147*v**2 - 125/33*v**4 + 0*v + 4/165*v**6 + 1/22*v**5 + 0. Solve b(r) = 0 for r.
-10, -1, 5
Let j(b) be the first derivative of -38*b**5/35 + 60*b**4/7 - 138*b**3/7 + 54*b**2/7 + 939. Determine i so that j(i) = 0.
0, 6/19, 3
Factor -5960/9*x**3 + 0*x + 0 + 662/3*x**2 + 2/3*x**4.
2*x**2*(x - 993)*(3*x - 1)/9
Let a be (-6 - 216/180)/((-52)/20 + 2). Find x, given that 26*x - 40/3 - 2/3*x**3 - a*x**2 = 0.
-20, 1
Let h(k) = 60*k**3 + 28235*k**2 + 4436820*k + 232193655. Let c(a) = 5*a**3 + 2353*a**2 + 369735*a + 19349471. Let v(l) = 25*c(l) - 2*h(l). Factor v(r).
5*(r + 157)**3
Factor -u**4 - 661*u**2 + u**3 - u**5 - 666*u**2 + 1328*u**2.
-u**2*(u - 1)*(u + 1)**2
Factor -144*j - 22801 - j**2 - 157*j + 110*j - 111*j.
-(j + 151)**2
What is h in -1/2*h**5 + 299/6*h**3 + 0*h + 0 + 25/2*h**2 + 221/6*h**4 = 0?
-1, -1/3, 0, 75
Let h(m) be the third derivative of m**6/200 - 34*m**5/25 + 649*m**4/40 + 393*m**3/5 - 2*m**2 - 12*m + 6. Factor h(d).
3*(d - 131)*(d - 6)*(d + 1)/5
Let p be (6/3)/(1 - (-2)/(-3)). Let q(h) be the first derivative of h**3 - 412*h - p + 400*h - 5. Factor q(c).
3*(c - 2)*(c + 2)
Solve -4*b**4 - 168*b**2 + 3*b**4 - 48*b**3 - 58*b**3 - 3*b**4 - 66*b**3 = 0 for b.
-42, -1, 0
Let r(c) be the first derivative of -10*c**7/21 + 38*c**6/45 - 4*c**4/9 - 5*c - 200. Let u(q) be the first derivative of r(q). Suppose u(b) = 0. Calculate b.
-2/5, 0, 2/3, 1
Let o(s) = 8*s**3 - 1692*s**2 + 5048*s - 3358. Let y(w) = -34*w**3 + 6768*w**2 - 20192*w + 13431. Let q(u) = -9*o(u) - 2*y(u). Let q(h) = 0. What is h?
1, 2, 420
Suppose -7/6*w + 1/6*w**2 + 0 = 0. What is w?
0, 7
Let d be -2 + 15/2*(-68)/(-85). Suppose -v + d*s + 3 = 0, 0 = -3*v + 3*s + 14 - 5. Factor 0 - 16/7*j - 4/7*j**4 + 4/7*j**v + 16/7*j**2.
-4*j*(j - 2)*(j - 1)*(j + 2)/7
Let l(m) = 4 + 5 + 9 - 15 - 4*m - 2*m**2. Let s(u) = -3*u**2 - 5*u + 2. Let j(d) = -4*l(d) + 5*s(d). Factor j(o).
-(o + 1)*(7*o + 2)
Let m(w) be the second derivative of w**7/840 + w**6/12