s*(s - 1)*(s + 1)*(7*s + 2)
Let n(y) be the third derivative of 67*y**8/336 - 463*y**7/1260 - 37*y**6/360 + 133*y**5/360 + y**4/72 + y**2 + 734. Let n(d) = 0. What is d?
-1/2, -1/67, 0, 2/3, 1
Let i(z) be the first derivative of z**4/42 + 34*z**3/21 + 289*z**2/7 + 64*z - 114. Let u(w) be the first derivative of i(w). Factor u(p).
2*(p + 17)**2/7
Let c = -387 + 391. Let s(k) = 5*k**3 + 24*k**2 - 25*k + 8. Let d(x) = 45*x**3 + 215*x**2 - 225*x + 70. Let f(h) = c*d(h) - 35*s(h). Factor f(u).
5*u*(u - 1)*(u + 5)
Let v(o) = 5*o**4 - 6*o**3 + 162*o**2 + 24*o - 6567. Let j(l) = 11*l**4 - 13*l**3 + 324*l**2 + 52*l - 13135. Let s(i) = 6*j(i) - 13*v(i). Factor s(n).
(n - 9)**2*(n + 9)**2
Factor 4*v**3 + 3548 + 64 + 1815*v - 1346 + 165*v**2 + v**3 + 4389.
5*(v + 11)**3
Let o be (-54)/45*5 - 344. Let i = o - -1754/5. Find a, given that 6/5*a**2 + 1/5*a**3 + i + 9/5*a = 0.
-4, -1
Let r(h) be the first derivative of 8*h**3/5 - 949*h**2/5 + 158*h/5 - 2243. What is p in r(p) = 0?
1/12, 79
Let o = -782 + 795. Let s be (7 - (o + -8)) + 1/(-2). Suppose 1/2*r**2 + 0 + s*r = 0. What is r?
-3, 0
Let n be 51/(17391/(-62)) - (0 + (-2)/11). Let m(d) be the first derivative of n*d**3 + 2/45*d**5 + 0*d + 5 + 0*d**2 + 1/54*d**6 + 1/36*d**4. Factor m(o).
o**3*(o + 1)**2/9
Let h be (-119)/(-21) + 2 + -4 + -3. Let g(u) be the first derivative of 1/15*u**5 + 9 + 13/9*u**3 + 0*u + u**2 + h*u**4. Solve g(v) = 0 for v.
-6, -1, 0
Let b(l) = -170*l**4 + 1785*l**3 + 3555*l**2 + 1750*l - 75. Let y(i) = 9*i**4 - 94*i**3 - 187*i**2 - 92*i + 4. Let c(r) = 4*b(r) + 75*y(r). Solve c(a) = 0.
-1, 0, 20
Suppose 0 = i - n - 3, 3*i = -10*n + 12*n + 9. Factor 2*y**3 - 1640*y - 8*y**i - 88*y**2 + 3*y**3 + 672*y + y**3.
-2*y*(y + 22)**2
Suppose -a - 4 = -i, 17*i = 16*i - 4*a + 9. Let w(v) be the first derivative of -6 - 5*v**4 + 5/3*v**3 - i*v + 10*v**2. Factor w(h).
-5*(h - 1)*(h + 1)*(4*h - 1)
Let m(r) = -3*r**3 - 2*r**2 - 10*r + 1. Let s(t) = -131872211*t**3 - 1554474*t**2 - 6048*t - 14. Let v(n) = 6*m(n) + s(n). Factor v(h).
-(509*h + 2)**3
Let q(l) be the second derivative of l**7/42 - 4*l**6/3 + 37*l**5/5 - 12*l**4 - 1036*l + 1. What is s in q(s) = 0?
0, 2, 36
Let o(j) = -6*j**2 + 2*j + 62. Suppose -v - 5*u + 22 = 0, 4*u + 19 = 2*v + 9*u. Let t be o(v). Factor 6/7 + 2/7*m**3 + 10/7*m**t + 2*m.
2*(m + 1)**2*(m + 3)/7
Let p = -44 - -29. Let j be (-10)/p*(-6)/16*-2. What is m in 0 + j*m + 0*m**2 - 1/2*m**3 = 0?
-1, 0, 1
Let b(g) be the second derivative of -g**5/20 + g**4/6 - g**3/6 + 5333*g. Find p, given that b(p) = 0.
0, 1
Find i such that 12/5*i**3 + 1/5*i**4 + 23/5*i**2 - 108/5 - 48/5*i = 0.
-9, -3, -2, 2
Let s(b) = -8*b**2 - 60*b - 28. Let f(j) = -2*j**2 - 12*j - 6. Suppose 2*w = 34 - 6. Let h(q) = w*f(q) - 3*s(q). Factor h(i).
-4*i*(i - 3)
Suppose 0 = 2*o - 3*z - 4, 0 = -3*o + 4*o + 5*z + 24. Let h be 3 + 15/(-12)*o/(-10). Suppose h*n - 3 - 1/2*n**2 = 0. Calculate n.
2, 3
Let i = 10259639/9 + -1138931. Let 50*s**4 + 5192/9*s**2 - i*s**3 - 320/9 + 176/9*s = 0. What is s?
-2/9, 2/5, 20
Let k = 5010 - 5008. Let x(z) be the first derivative of -2/3*z**3 - 15 + 0*z - k*z**4 + 0*z**2. Factor x(o).
-2*o**2*(4*o + 1)
Suppose -4*b + 1 = 1. Suppose 18 = 6*s - b*s. Suppose 7/3*z - 1/3*z**s + 2/3*z**2 + 4/3 = 0. What is z?
-1, 4
Let o be (-1815)/(-22)*18/15. Suppose 0 = o*m - 104*m. Determine z so that 1/2*z**5 - 1/2*z**3 - 1/2*z**2 + m*z + 0 + 1/2*z**4 = 0.
-1, 0, 1
Suppose 3*s + 4*b = 25, 7*s = 3*s - 3*b + 24. Factor 23*d**2 + 3*d**3 - 15 - 44*d**2 + 36 - s*d.
3*(d - 7)*(d - 1)*(d + 1)
Let h(w) be the second derivative of w**5/30 + 3*w**4/2 + 50*w**3/9 - w - 2847. Factor h(l).
2*l*(l + 2)*(l + 25)/3
Suppose -20*h = -18*h - 4. Suppose -6*n - 2*r = -11*n + h, -26 = -5*n - 4*r. Factor 4*g**n - g**2 - 3*g**4 + 182 - 182.
-3*g**2*(g - 1)*(g + 1)
Let b(u) = 6*u**2 + 212*u - 860. Let j(l) = 2*l**2 - l - 7. Let a(i) = b(i) - 4*j(i). Factor a(c).
-2*(c - 104)*(c - 4)
Let f(y) be the first derivative of -6*y**5/35 + 432*y**4/7 - 42608*y**3/7 + 245376*y**2/7 - 483936*y/7 - 1534. Suppose f(h) = 0. What is h?
2, 142
Let h = 62 - 68. Let o be h - 5/((-135)/168). Find z such that 0 + 2/9*z + o*z**2 = 0.
-1, 0
Factor -9/2*k + 0 + 1/2*k**3 + 0*k**2.
k*(k - 3)*(k + 3)/2
Factor -1372*i**2 + 877*i**2 + 493*i + 105*i**3 - 164 - i**4 + 62*i**3.
-(i - 164)*(i - 1)**3
Let k(a) = -a**3 + 3*a**2 + 4*a + 1. Let c(s) = -3*s**3 + 264*s**2 - 8*s - 2. Let r(m) = -c(m) - 2*k(m). Determine n so that r(n) = 0.
0, 54
Let x(d) be the second derivative of d**5/630 + d**4/126 + 45*d**2/2 + 6*d. Let y(z) be the first derivative of x(z). Determine i, given that y(i) = 0.
-2, 0
Let w(i) be the second derivative of i**6/150 + 287*i**5/100 + 6717*i**4/20 - 12847*i**3/6 - 8410*i**2 + 3771*i. Find n, given that w(n) = 0.
-145, -1, 4
Let d be (-4)/(5/(25/(-10))). Suppose 5*n = 4*k - 10, -4*n = -5*k - 5*n + 27. Factor h**d - 6 - h + k + 1.
h*(h - 1)
Factor 122*p**2 + 90*p**3 + 814*p**2 + 1495*p - p**4 + 2399*p - 24620 + 30065 + 4*p**4.
3*(p + 3)*(p + 5)*(p + 11)**2
Suppose -1/3*o**2 + 13/3*o + 16 = 0. What is o?
-3, 16
Let a(r) = -54*r**3 + 494*r**2 + 888*r - 296. Let c(g) = 49*g**3 - 494*g**2 - 889*g + 296. Let h(w) = 14*a(w) + 16*c(w). Factor h(t).
4*(t - 37)*(t + 2)*(7*t - 2)
Suppose 0 = -5*r + 2*i + 124 - 116, -5*i + 15 = 5*r. Solve 13*z - 1/2*z**r - 169/2 = 0 for z.
13
Let t(u) = -140*u**2 - 454*u + 427. Let y be t(-4). Let -6/5 + 1/5*h**4 - 3/5*h**3 - 17/5*h - y*h**2 = 0. Calculate h.
-1, 6
Let d be (-28)/6*(-11088)/25872. Suppose 0*c - 10/9*c**d - 2/9*c**4 + 0 - 4/3*c**3 = 0. Calculate c.
-5, -1, 0
Let v = 7597 + -7595. Let x(j) be the first derivative of -6*j + 35 - 3*j**v - 1/2*j**3. Factor x(i).
-3*(i + 2)**2/2
Let t(x) = -16*x**2 + 34*x + 12. Let b be ((-148)/111)/(((-4)/18)/1). Let i(h) = -5*h**2 + 11*h + 3. Let k(g) = b*t(g) - 20*i(g). Factor k(f).
4*(f - 3)*(f - 1)
Let o(u) be the second derivative of 2 + 7/130*u**5 - 89*u - 19/78*u**4 - 34/39*u**3 - 8/13*u**2. Factor o(i).
2*(i - 4)*(i + 1)*(7*i + 2)/13
Let f(s) be the second derivative of -s**5/20 + 17*s**4/12 + 7*s**3/3 - 240*s**2 + 4779*s. Factor f(v).
-(v - 16)*(v - 6)*(v + 5)
Let k(h) = h**3 - 40*h**2 + 49*h + 90. Let m(u) = 3*u**3 - 116*u**2 + 149*u + 268. Let r(i) = -21*k(i) + 6*m(i). Factor r(j).
-3*(j - 47)*(j - 2)*(j + 1)
Let m(l) = l**2 + 86*l + 12. Let q(w) be the third derivative of w**5/20 + 173*w**4/24 + 13*w**3/3 + 96*w**2. Let i(z) = 13*m(z) - 6*q(z). Factor i(s).
-5*s*(s - 16)
Factor 6/11*d**3 - 2/11*d**4 - 4/11*d**2 + 0 + 0*d.
-2*d**2*(d - 2)*(d - 1)/11
Factor 352/5*v**2 - 38/5*v**3 + 0 - 736/5*v - 1/5*v**4.
-v*(v - 4)**2*(v + 46)/5
Let p = 97/26 + -187/78. Let a be ((-1)/(-4))/(6/8). Find v, given that -1/3*v**3 + 4/3*v + a*v**4 + 0 - p*v**2 = 0.
-2, 0, 1, 2
Let y(s) = s**3 + 10*s**2 + 9*s - 40. Let w be y(-8). Suppose -42 - 6 = -w*c. Determine z, given that -1/2*z**c + 0*z**2 + 1/2*z + 0 = 0.
-1, 0, 1
Let m(h) be the second derivative of -5/12*h**4 - 25/6*h**3 - 15*h**2 + 53*h + 1. Suppose m(j) = 0. Calculate j.
-3, -2
Let h = 19 + -9. Let x be (-2)/60*-4 + 86/30. Let -3 + h - 3*a + 0*a - 1 - x*a**2 = 0. What is a?
-2, 1
Let o(p) be the first derivative of p**6/24 + 32*p**5/5 + 61*p**4/8 - 158*p**3/3 + 381*p**2/8 - 7924. Find x, given that o(x) = 0.
-127, -3, 0, 1
Let r(y) be the first derivative of y**6/11 + 2944*y**5/55 - 248*y**4/11 - 1636*y**3/11 + 493*y**2/11 + 1964*y/11 + 1792. Let r(d) = 0. Calculate d.
-491, -1, -2/3, 1
Let m be (1 + -1 - 6)*(-2816)/792. Suppose -m*k**2 - 2/3*k**4 - 64/3*k + 0 - 20/3*k**3 = 0. What is k?
-4, -2, 0
Let v = -79 - -82. Solve 2*z - 6 + v*z - 19107*z**2 + 19108*z**2 + 0*z = 0.
-6, 1
Let f(x) be the second derivative of -93*x + 0*x**2 + 2/49*x**7 - 1/10*x**6 + 1/28*x**4 + 0 + 0*x**3 + 3/70*x**5. Factor f(j).
3*j**2*(j - 1)**2*(4*j + 1)/7
Let s(i) be the third derivative of -i**6/120 - 188*i**5/5 - 70688*i**4 - 212629504*i**3/3 + 211*i**2 - 1. Let s(k) = 0. What is k?
-752
Let d be 750684/5170*-3*1/(-4)*6. Solve 3/5*a**2 + d - 198/5*a = 0 for a.
33
Let z be 2/(81/6 - 11) + 28/35. Suppose 2/5*y**3 + 6/5*y**4 - 2/5*y**5 + 0*y + z - 14/5*y**2 = 0. What is y?
-1, 1, 2
Let z = -19274 - -19274. Let w(d) be the second derivative of 17*d + 0 + z*d**2 - 1/21*d**3 + 1/42*d**4. Factor w(p).
2*p*(p - 1)/7
Factor -44/7*w - 1/7*w