 + 1)**2*(h + 2)*(h + 5)
Let l(s) be the second derivative of -s**6/1260 - 11*s**5/420 + 13*s**4/42 - 55*s**3/2 - 2*s - 4. Let c(i) be the second derivative of l(i). Factor c(y).
-2*(y - 2)*(y + 13)/7
Let b(m) = -m**3 + 15*m**2 - 14*m. Let k be b(14). Suppose k = 13*d - 5*d - 96. Factor d*v**3 + 21*v**5 - 14*v**5 - 11*v**5 + 8*v**2.
-4*v**2*(v - 2)*(v + 1)**2
Let y(t) be the first derivative of 2*t**6 - 9*t**5 + 27*t**4/2 - 7*t**3 - 468. Factor y(k).
3*k**2*(k - 1)**2*(4*k - 7)
Let o(x) be the second derivative of x**4/6 + 197*x**3/3 - 2687*x + 2. Determine b, given that o(b) = 0.
-197, 0
Let r(n) = -346*n + 106*n - 766*n**2 + 769*n**2 + 2880. Let f(q) = 35*q**2 - 2880*q + 34560. Let k(b) = -2*f(b) + 25*r(b). Factor k(s).
5*(s - 24)**2
Suppose 0*r - 5*r + 15 = 0. Let g be (-1687806)/(-1271) + 2/31. Determine d so that -1769*d + 105*d**4 - 123*d**4 - 471*d - g*d**2 + 336*d**r - 800 = 0.
-2/3, 10
Let d = -1836531/5 + 367316. Solve 0 + 23/5*r**3 + 1/5*r**4 - d*r**2 + 5*r = 0 for r.
-25, 0, 1
Determine n so that -1/3*n**3 - 8/3 - 17/3*n - 10/3*n**2 = 0.
-8, -1
Suppose 24*y + 5*y**4 + 20*y + 21*y**3 - 74*y - 24 - 1 + 9*y**3 + 20*y**2 = 0. Calculate y.
-5, -1, 1
Let g be (8/(-42))/(2662/(-308) - -8)*(-21)/(-28). Let -32/9*s**2 + 0 + 14/9*s**3 - g*s**4 + 8/3*s = 0. What is s?
0, 2, 3
Let b = 796 + -796. Let t(z) be the second derivative of -2/15*z**6 + b + 2/21*z**7 + 0*z**3 + 13*z + 0*z**2 + 1/3*z**4 - 1/5*z**5. Factor t(x).
4*x**2*(x - 1)**2*(x + 1)
Suppose -1734 = -160*q + 1306. Let m(l) be the first derivative of 2*l**2 - q + l**4 + 4*l**3 + 0*l - 4/3*l**6 - 12/5*l**5. Let m(h) = 0. Calculate h.
-1, -1/2, 0, 1
Let y be (4/10)/((-8)/(-40)). Suppose -4*i = 3*u - 7, -2*i - 2*u + 4 = y. Find s, given that -12*s**3 + 4*s**2 + 2*s**5 + 9*s**3 + 13*s**3 + 8*s**i = 0.
-2, -1, 0
Let d(l) be the first derivative of -14*l**3/15 + 201*l**2/5 + 992*l/5 - 6529. Factor d(a).
-2*(a - 31)*(7*a + 16)/5
What is n in 1/8*n**2 - 1873/2*n + 3508129/2 = 0?
3746
Let v = 1718794/54849 + -64/18283. Solve 49/3*b**5 - 49*b**4 - 8/3*b + 0 + v*b**3 + 4*b**2 = 0 for b.
-2/7, 0, 2/7, 1, 2
Let c = -636 + 654. Let n be (-8)/(-35)*(135/c - 4). Solve n*g**3 - 2/5*g**5 + 6/5 - 2/5*g + 6/5*g**4 - 12/5*g**2 = 0.
-1, 1, 3
Let y(a) be the second derivative of -a - 17/9*a**3 - 2*a**2 - 1/45*a**6 + 19 - 7/30*a**5 - 17/18*a**4. Find s such that y(s) = 0.
-3, -2, -1
Let m be (-64)/(-24) + (2/(-3))/1. Factor -12*o**4 + 22*o**3 - 43*o**3 + 6*o**3 - 4*o**m + 4*o**5.
o**2*(o - 4)*(2*o + 1)**2
Let c(f) be the first derivative of -f**3/7 + 75*f**2/7 - 1683*f/7 - 9159. Find l such that c(l) = 0.
17, 33
Let w(y) be the second derivative of 2*y**6/15 + 22*y**5/5 + 68*y**4/3 - 1196*y**3/3 + 1014*y**2 - 4261*y. Factor w(f).
4*(f - 3)*(f - 1)*(f + 13)**2
Suppose -8*n = -10*n - 2*l + 12, -5*l + 29 = 4*n. Let q be 162/(-27) + (n - -7). Factor 0 - 2/3*j**5 + 2/3*j**4 - 2/3*j**q + 2/3*j**3 + 0*j.
-2*j**2*(j - 1)**2*(j + 1)/3
Let v(c) be the second derivative of -5*c**4/12 + 5975*c**3/6 - 2985*c**2 - 2168*c. Factor v(t).
-5*(t - 1194)*(t - 1)
Let l = -13339/3 - -4449. Let r(p) be the first derivative of -5*p**2 + 14 + 2*p + l*p**3. Factor r(x).
2*(x - 1)*(4*x - 1)
Suppose -34*b + 16 = -188. Let k be 81/b - (20 + -11). Find o such that -3/2*o**4 + k*o**2 + 3*o**3 + 0 + 0*o = 0.
-1, 0, 3
Find j such that -13742*j**2 - 32 + 13740*j**2 + 258*j + 215 + 379 - 38 = 0.
-2, 131
Find z such that -342/7*z**3 - 3/7*z**4 - 9039/7*z**2 - 41772/7 + 40356/7*z = 0.
-59, 2
Let s(l) be the second derivative of l**5/12 + 10*l**4 + 235*l**3/6 - 88*l**2 - 64*l. Let b(y) be the first derivative of s(y). Let b(k) = 0. What is k?
-47, -1
Let w(p) be the third derivative of -1/60*p**5 + 0*p**3 + 1/80*p**6 - 1/672*p**8 + 44*p**2 + 0*p**7 + 0*p**4 + 0*p + 0. Find q, given that w(q) = 0.
-2, 0, 1
Solve 7305/2*q**2 - 513*q**3 - 3/2*q**4 - 4212*q - 8376 = 0 for q.
-349, -1, 4
Let i(o) be the third derivative of o**8/420 - o**7/42 - 7*o**6/90 + o**5/6 + o**4 - 2*o**3 + 51*o**2. Let x(q) be the first derivative of i(q). Factor x(p).
4*(p - 6)*(p - 1)*(p + 1)**2
Let s(y) be the first derivative of -5*y**3/12 + 375*y**2/8 - 1485*y/2 + 10868. Factor s(m).
-5*(m - 66)*(m - 9)/4
Let k = 20 + -3. What is z in -6*z**3 + k*z**3 + 0*z**4 - 9*z**3 - 2*z**4 = 0?
0, 1
Let p = 273158 - 169357799/620. Let x = p + -3/310. Suppose 1 + 5/4*d + x*d**2 = 0. What is d?
-4, -1
Let m be (-12)/(-10)*(13 - 98/6). Let k be m + ((-33)/(-55) - -4). Factor -1/5*t**2 + k + 2/5*t.
-(t - 3)*(t + 1)/5
Suppose -w + 5*x + 7 = 0, 7 = 5*x + 12. Find q such that 1 + 838*q**w - 833*q**2 - 1 + 40*q = 0.
-8, 0
Suppose 565*a - 572 + 1776 = 608*a. Let x(m) be the first derivative of -a - 5*m + 0*m**2 + 5/3*m**3. Factor x(o).
5*(o - 1)*(o + 1)
Let o = -10790999/450 + 23980. Let g(i) be the third derivative of o*i**5 + 44*i**2 + 2/45*i**3 + 0*i + 0 - 1/60*i**4. Let g(q) = 0. What is q?
1, 2
Factor 1/5*u**3 - 17/5*u**2 - 12 + 76/5*u.
(u - 10)*(u - 6)*(u - 1)/5
Let l = 975 - 921. Let p(t) = 3*t - 14. Let r be p(6). Factor 2*k**3 + 7*k**3 - 30*k**2 + l*k**2 + 3*k**r - 27*k**2 - 9*k.
3*k*(k - 1)*(k + 1)*(k + 3)
Factor -1/6*z**2 + 4/3*z + 10/3.
-(z - 10)*(z + 2)/6
Let q = 81/628 + 19/157. Let n(t) be the third derivative of -q*t**3 + 0*t - 29/160*t**5 - 3/8*t**4 - 23*t**2 - 9/320*t**6 + 0. Solve n(k) = 0.
-2, -1, -2/9
Let a(q) = -5967*q + 537032. Let w be a(90). Find l such that -1280/3 - 15820/3*l**w + 8980/3*l + 245/3*l**3 = 0.
2/7, 64
Let r(n) = -3*n**4 + 84*n**3 - 432*n**2 + 24. Let q(c) = -c**3 - 2. Let o be ((-18)/4)/(135/(-360)). Let x(g) = o*q(g) + r(g). Let x(l) = 0. Calculate l.
0, 12
Let w be (-1 - 0)*(28 - -9). Let o = w + 39. Solve 8/17*m + 0 + 2/17*m**o = 0.
-4, 0
Let 195/4 - 3/8*z**2 - 189/8*z = 0. Calculate z.
-65, 2
Suppose -4*y = -3*m - 10, -2*m - 5*y + 8 = -16. Factor -144*z - 1736 - 39*z - 5*z**m + 13*z + 291.
-5*(z + 17)**2
Let p be -222*(-11)/(-3)*(-1)/2. Let j = p + -2019/5. Determine n, given that j*n + 2/5*n**4 + 0 + 12/5*n**3 + 24/5*n**2 = 0.
-2, 0
Let h(m) be the second derivative of -m**7/168 + 11*m**6/60 - 41*m**5/80 + 5*m**4/12 + 25*m - 2. What is g in h(g) = 0?
0, 1, 20
Let i be (-35 + (-36)/(-9))*(-134)/10. Let l = i - 413. Factor 0 + l*q - 2/5*q**2.
-2*q*(q - 6)/5
Factor 3/2*w**2 + 116427/2 + 591*w.
3*(w + 197)**2/2
Let v(n) be the first derivative of 112*n**3/15 + 331*n**2/5 + 36*n - 294. Factor v(w).
2*(7*w + 2)*(8*w + 45)/5
What is i in 3/2 - 13/4*i - 11*i**2 - 25/4*i**3 = 0?
-1, 6/25
Let j(s) be the first derivative of 45 - 1/4*s**4 + 0*s - s**3 - s**2. What is v in j(v) = 0?
-2, -1, 0
Let v be 25/(-5) + (411 - -10). Let d be (v/(-1196))/(0 - 2). Suppose 0*f + 0 + 10/23*f**3 + 2/23*f**5 - d*f**2 - 8/23*f**4 = 0. What is f?
0, 1, 2
Let g be (9 - (-2530)/(-264))*76/(-14) + -3. Let w(s) be the second derivative of 1/2*s**5 + 0*s**3 + g*s**6 + 33*s + 5/12*s**4 + 0 + 0*s**2. Factor w(z).
5*z**2*(z + 1)**2
Suppose 95 = 74*i - 55*i. Let m(q) be the first derivative of 8/5*q**5 + 16/3*q**3 + i*q**4 + 2*q**2 + 0*q - 37. Factor m(l).
4*l*(l + 1)**2*(2*l + 1)
Let u = -71 - -125. Suppose 0 = -6*z + 4*z + u. Factor -z - 16*k - 10*k - k**2 - 51 - 91.
-(k + 13)**2
Let b(f) = f**2 - 82*f + 38. Let l be b(12). Let h = l - -5622/7. Suppose h*i**3 + 2/7*i**4 - 8/7 - 8/7*i + 6/7*i**2 = 0. What is i?
-2, -1, 1
Determine v, given that -37 - 1/2*v**2 + 75/2*v = 0.
1, 74
Suppose q - 32 + 6 = 0. Let j = -23 + q. Determine c so that -15*c**2 - 5*c**j - 6*c**2 - 6*c - 10*c**3 = 0.
-1, -2/5, 0
Let v be 21/6 + -2 - ((-189)/(-18) + -11). Let y(a) be the second derivative of 16/21*a**3 - 64/7*a**v + 0 - 1/42*a**4 + 41*a. Factor y(p).
-2*(p - 8)**2/7
Let q(l) be the first derivative of -16*l**5/5 + 23*l**4 - 56*l**3 + 40*l**2 + 32*l + 8635. Factor q(y).
-4*(y - 2)**3*(4*y + 1)
Suppose -3*z = -21 + 6. Suppose -5*w = -4*a + 7, 3*a + w + 5 = z*a. Find f, given that 2/5*f**4 + 8*f + 14/5*f**a + 16/5 + 36/5*f**2 = 0.
-2, -1
Solve -58/23*l**4 + 0 + 568/23*l**2 + 178/23*l**3 - 40/23*l = 0 for l.
-2, 0, 2/29, 5
Let v(a) be the first derivative of a**5/10 - 33*a**4/8 + 121*a**3/2 - 1495*a**2/4 + 1014*a + 3907. Factor v(l).
(l - 13)**2*(l - 4)*(l - 3)/2
Suppose 4*g - 76 = -12. Factor -y**4 - 22*y + g*y + 2*y**2 + 3*y**4 + 6*y**3 - 4*y**4.
-2*y*(y - 3)*(y - 1)*(y + 1)
Let s = 677 + -677. 