)*(k - 1)**2
Let u(x) be the second derivative of 5 - x + 3/4*x**4 + 9/20*x**5 - 7/2*x**3 - 1/10*x**6 - 9*x**2. Factor u(w).
-3*(w - 3)*(w - 2)*(w + 1)**2
Factor -49496*u - 473663962406/3*u**3 - 153115876*u**2 - 16/3.
-2*(6187*u + 2)**3/3
Let l be 65/(-25)*(-1080)/1404. Factor -3/8 + 1/8*x**3 + 7/8*x - 5/8*x**l.
(x - 3)*(x - 1)**2/8
Let v = 1990 + -21863/11. Let n = -457/231 + v. Solve 2/21*m + n*m**2 - 10/21 - 2/21*m**3 = 0.
-1, 1, 5
Let y be (-165)/(-99) + 1/3. Factor -199*q**2 + 14*q - 200*q**2 - 2*q**3 - 8 + 395*q**y.
-2*(q - 1)**2*(q + 4)
Suppose u + 23 = 21. Let b(a) = -20*a**3 + 175*a**2 + 505*a - 660. Let h(y) = y**3 - 8*y**2 - 23*y + 30. Let p(t) = u*b(t) - 45*h(t). Factor p(g).
-5*(g - 3)*(g - 1)*(g + 2)
Let z(w) be the second derivative of w**4/6 - 1014*w**3 + 2313441*w**2 + 1007*w. Find i such that z(i) = 0.
1521
Let m(b) be the first derivative of -b**6/51 + 214*b**5/85 - 103*b**4/17 - 856*b**3/51 + 840*b**2/17 + 3355. Solve m(f) = 0.
-2, 0, 2, 105
Let m(u) = -4*u**2 + 58*u - 64. Let v(q) be the second derivative of q**4/12 + 2*q**3/3 - 29*q. Let o(d) = 2*m(d) + 4*v(d). Factor o(n).
-4*(n - 32)*(n - 1)
Let v(s) be the first derivative of -10*s**2 + 5/12*s**4 + 0*s + 5/6*s**3 + 16 + 1/12*s**5. Let d(y) be the second derivative of v(y). Factor d(l).
5*(l + 1)**2
Let d be (660/24)/(-11)*90/(-375). Find r such that 0 - d*r**3 - 4/5*r**5 + 13/5*r**4 + 4/5*r - 16/5*r**2 = 0.
-1, 0, 1/4, 2
Let g = 90 - 90. Suppose g = 2*z - 11*z + 72. Factor z - 32 - 8 - 4*b**2 - 24*b.
-4*(b + 2)*(b + 4)
Factor 4 - 6*g**3 + 19*g**3 - 2*g + 2*g - 12*g + 11*g**2 - 16*g.
(g - 1)*(g + 2)*(13*g - 2)
Let j(l) = -l**3 + 2*l**2 - 3*l + 28. Let o be j(0). Factor -m**2 + 14 - o*m - 15*m + 56*m.
-(m - 14)*(m + 1)
Let c = 44731 + -849883/19. Suppose 0 - 2/19*s - c*s**2 - 2/19*s**4 - 6/19*s**3 = 0. What is s?
-1, 0
Let j(d) be the second derivative of -d**7/7 + 106*d**6/15 - 706*d**5/5 + 1413*d**4 - 6723*d**3 + 5832*d**2 - 13*d + 36. Suppose j(f) = 0. What is f?
1/3, 8, 9
Let k = -59209 - -59211. Factor 81/8*v + 0 + 1/8*v**3 - 9/4*v**k.
v*(v - 9)**2/8
Let p(k) be the second derivative of k**5/50 - 41*k**4/15 + 517*k**3/15 + 120*k**2 - 4957*k. Suppose p(q) = 0. Calculate q.
-1, 8, 75
Let f(r) be the second derivative of -8*r + 0 + 3/14*r**7 + 0*r**2 + 0*r**3 - 2/3*r**4 + 1/15*r**6 - 9/5*r**5. Determine j so that f(j) = 0.
-2, -2/9, 0, 2
Factor -2/3*f**3 + 242 - 38/3*f**2 - 110/3*f.
-2*(f - 3)*(f + 11)**2/3
Let v be 12/(-7)*(-42)/12. Factor 6*q + 28*q**2 - 112 + v*q - 8*q**2 - 16*q**2.
4*(q - 4)*(q + 7)
Determine q, given that 620*q - 5/2*q**4 - 1245/2 + 625*q**2 - 620*q**3 = 0.
-249, -1, 1
Let r(m) be the third derivative of 9*m**2 + 0*m + 0 + 3/16*m**4 - 27/8*m**3 - 1/240*m**5. Suppose r(a) = 0. What is a?
9
Let k be 25 - 464/29 - (5 - -1). Let n(a) be the first derivative of -2*a - 1/6*a**k + a**2 - 4. Let n(c) = 0. What is c?
2
Let q(h) be the third derivative of h**5/540 + 95*h**4/216 - 250*h**3/27 - 25*h**2 + 66. Let q(m) = 0. What is m?
-100, 5
Factor 312*l + 69 - 52 - l**2 + 2*l**2 + 294.
(l + 1)*(l + 311)
Suppose -284*d = 7*d + 967*d + 204 - 2720. What is a in 4/9*a**2 + d*a**3 - 16/9*a - 4/9*a**4 + 0 - 2/9*a**5 = 0?
-4, -1, 0, 1, 2
Let u(m) be the third derivative of m**8/1008 + m**7/63 - 13*m**6/120 + 4355*m**2. Factor u(g).
g**3*(g - 3)*(g + 13)/3
Suppose 1142 - 73 = 69*k - 35. Let 38/5*r**4 - 6/5*r**2 - k*r + 66/5*r**3 - 24/5 + 6/5*r**5 = 0. Calculate r.
-3, -2, -1/3, 1
Let x(l) = 19*l**2 - 3*l + 2. Let t be x(1). Suppose -41*r + 50*r - t = 0. Suppose r - 8/3*d**2 + 4/3*d**3 - 4/3*d + 2/3*d**4 = 0. Calculate d.
-3, -1, 1
Let n(s) be the second derivative of -49/11*s**2 - 1/66*s**4 + 0 + 92*s + 14/33*s**3. Let n(a) = 0. What is a?
7
Let p(j) = -28*j**2 - 1010*j - 72. Let b be p(-36). Let q(y) be the third derivative of 13*y**2 - 1/45*y**3 + 1/90*y**4 + b*y + 0 - 1/450*y**5. Factor q(h).
-2*(h - 1)**2/15
Let z(u) = u**5 - 2*u**4 + 3*u**3 - 4*u + 2. Let p(v) = 6*v - 28*v**5 + 10*v**4 - 11 - 15*v**3 + 16*v + 22*v**5. Let y(t) = -4*p(t) - 22*z(t). Factor y(g).
2*g**3*(g - 1)*(g + 3)
Suppose 7*c - 8*c = 2*m - 8, 5*m = 5*c - 10. Factor -98 - 14*a + 65 - a**m + 4*a**2 - 4*a**2.
-(a + 3)*(a + 11)
Let v(o) be the first derivative of -o**5/90 + 11*o**4/54 - 28*o**3/27 - 10*o - 76. Let x(d) be the first derivative of v(d). Find p such that x(p) = 0.
0, 4, 7
Suppose 5*y + 82 - 62 = 5*z, 11 = 5*z + 4*y. Let i(l) = 5*l + 2. Let f be i(2). Factor -z*p**2 - f + 9*p - 8*p - 13*p.
-3*(p + 2)**2
Suppose 5*x - 911 + 591 = 0. Let q be (18/5)/(1/30). Let -17 + 41 - q*m + 3 - x*m**3 + 144*m**2 = 0. Calculate m.
3/4
Let d(i) = 43*i**3 + 66*i**2 - 10*i - 7. Let v(c) = -21*c**3 - 32*c**2 + 5*c + 4. Let l = -266 - -279. Let h(o) = l*v(o) + 6*d(o). Factor h(u).
-5*(u + 1)**2*(3*u - 2)
Let q(b) be the third derivative of 129*b**2 + 320/9*b**4 - 1024/9*b**3 - 40/9*b**5 + 1/252*b**8 + 0 + 0*b - 2/9*b**6 + 4/63*b**7. Find i such that q(i) = 0.
-8, 2
Factor 9/2*g**2 - 636*g - 426.
3*(g - 142)*(3*g + 2)/2
Let b(r) be the second derivative of 51*r**2 - 51/20*r**5 + 0 + 3/4*r**4 + 53/2*r**3 + 97*r - 1/10*r**6. Suppose b(z) = 0. Calculate z.
-17, -1, 2
Let d be ((-4)/(1*-2))/2. Let v = 1362251/908162 - 4/454081. Factor -d - v*g + 10*g**2.
(4*g + 1)*(5*g - 2)/2
Let x(y) = -2*y**2 + 1446*y + 1166. Let j(k) = 46*k - 1. Let f(g) = -6*j(g) + x(g). Factor f(t).
-2*(t - 586)*(t + 1)
Let n(i) be the third derivative of 47*i**5/60 - 95*i**4/24 + i**3/3 - 451*i**2. Let n(v) = 0. Calculate v.
1/47, 2
What is u in 340/3*u + 0 - 5/3*u**3 + 160/3*u**2 = 0?
-2, 0, 34
Let t(y) be the second derivative of -2 + 1/150*y**5 - 2/45*y**4 - 2/15*y**2 - 5*y + 1/9*y**3. Factor t(a).
2*(a - 2)*(a - 1)**2/15
Let w(p) be the second derivative of 0 + 159*p - 5*p**3 + 34*p**2 - 1/6*p**4. Determine b, given that w(b) = 0.
-17, 2
Suppose 2*c - 18 = -2*p + 6, -4*p = -c + 17. Suppose -7 = -4*f + c. Find n, given that -f*n + 317*n**2 + n - 3 + n**4 - 323*n**2 - 4*n = 0.
-1, 3
Let p(g) be the second derivative of -g**6/360 + 11*g**5/60 - 32*g**3/3 - 37*g. Let x(a) be the second derivative of p(a). Factor x(k).
-k*(k - 22)
Let g(y) be the third derivative of y**6/684 + 37*y**5/285 - 5*y**4/19 + 71*y**3/3 + 2*y**2 - 45. Let q(h) be the first derivative of g(h). Factor q(a).
2*(a + 30)*(5*a - 2)/19
Let f(l) be the third derivative of 3/16*l**4 + 1/560*l**7 + 0*l - 1/80*l**5 + 191*l**2 - 3/320*l**6 + 0 - 1/2*l**3. Factor f(y).
3*(y - 2)**2*(y - 1)*(y + 2)/8
Let c = -30610/3 + 10204. Let y(d) be the third derivative of 0 + 0*d - 121/360*d**6 + 16/9*d**4 + 4*d**2 - c*d**3 - 319/180*d**5. Find p, given that y(p) = 0.
-3, 2/11
Suppose -7755 = 33*p - 38*p - 4*g, -g = p - 1552. Let t = p - 1544. Solve 2*v**2 - 5/2*v + 1 - 1/2*v**t = 0 for v.
1, 2
Suppose 0 = -11*x + 77 - 22. Find q, given that -x*q**4 + 0*q**2 - 20*q**2 - 178*q**3 + 158*q**3 = 0.
-2, 0
Find s such that 20502 + 40*s**2 + 68*s + 4*s**3 - 8*s**3 - 20766 = 0.
-3, 2, 11
Suppose 0 = -4*g - 3*t, -2 = 4*g - t - 18. Factor 2*i**4 - 6*i**2 + 4*i + g*i - 2 + 162*i**3 - 163*i**3.
(i - 1)**2*(i + 2)*(2*i - 1)
Let x be (-13)/26 + -1 + 27/2. Factor -x*y**2 - 12*y + 3*y**3 + 23*y**2 - 11*y**2.
3*y*(y - 2)*(y + 2)
Determine n, given that 745*n**2 - 61*n**3 + 70*n - 219*n**3 + 235717 - 235717 - 55*n**4 = 0.
-7, -1/11, 0, 2
Let i(w) = -6*w + 69. Let m be i(11). Find n such that -2*n**2 - 7*n + 8*n - m*n + 12 = 0.
-3, 2
Let w be (-12)/2 - (85/(-255))/(1/36). Let b(q) be the first derivative of 0*q**2 - 4 + 2/15*q**5 + 0*q**3 + 0*q - 1/18*q**w + 0*q**4. Let b(n) = 0. What is n?
0, 2
Suppose -38*s + 12*s = 8*s. Let f(t) be the second derivative of -20/3*t**3 + s + 45/2*t**2 - 11*t - 5/12*t**4. Factor f(j).
-5*(j - 1)*(j + 9)
Let j(c) be the first derivative of 48/25*c**5 + 17/5*c**3 + 6*c**4 + 3/5*c**2 + 45 + 0*c. Factor j(b).
3*b*(b + 2)*(4*b + 1)**2/5
Let b(d) = -2*d + 14. Let n be b(-5). Suppose 27*g = n*g + 6. Factor -1 + g*l**5 - 4*l**2 + 5*l**4 + 10*l**3 - 4*l - 8*l**3 + l**3 - l**3.
(l - 1)*(l + 1)**3*(2*l + 1)
Let d(q) be the third derivative of q**8/2688 + q**7/840 - 7*q**6/960 - q**5/60 + q**4/16 + 1509*q**2. Let d(r) = 0. What is r?
-3, -2, 0, 1, 2
Let h be (69/(-5) - -3)/((-66)/(-1100)). Let y be 40/h*27/(-3). Factor -45/2*k + 21*k**y + 3/2.
3*(k - 1)*(14*k - 1)/2
Let j(u) be 