 + 143/3*h - 23/3*h**2 + 1/3*h**3 = 0 for h.
1, 11
Let f(x) be the third derivative of 10*x**2 - 4*x**3 - 2*x**5 + 7/30*x**6 + 0*x + 29/6*x**4 + 0. Factor f(y).
4*(y - 3)*(y - 1)*(7*y - 2)
Let t(k) be the second derivative of k**7/294 - 62*k**6/105 + 5041*k**5/140 - 1515*k**4/2 - 3402*k**3 - 5292*k**2 + 35*k - 2. Find s, given that t(s) = 0.
-1, 42
Factor 7/4 + 1/4*k**4 - 3/2*k + 3/2*k**3 - 2*k**2.
(k - 1)**2*(k + 1)*(k + 7)/4
Let p(s) be the third derivative of -s**7/840 - s**6/48 + s**4/6 - 14*s**2. Let r(a) be the second derivative of p(a). Factor r(b).
-3*b*(b + 5)
Let v(h) be the second derivative of -h**7/21 + 13*h**6/45 - 7*h**5/30 - 17*h**4/18 + 2*h**3/3 - 19*h - 10. What is t in v(t) = 0?
-1, 0, 1/3, 2, 3
Let n(x) = 43*x**2 + 77*x - 66. Let u(w) = -5*w**2 - w. Let a(b) = -2*n(b) - 18*u(b). Factor a(z).
4*(z - 33)*(z - 1)
Let l(j) be the second derivative of 0 - 1/27*j**4 + 0*j**3 - 16*j + 1/9*j**2 + 0*j**5 + 1/135*j**6. Let l(r) = 0. What is r?
-1, 1
Let k(r) = -7*r**3 - 13*r**2 - 33*r - 19. Let h(i) = 4*i**3 - i**2 + 1. Let v(z) = -4*h(z) - 2*k(z). Factor v(m).
-2*(m - 17)*(m + 1)**2
Let g(z) be the first derivative of -z**4/12 - 14*z**3/9 + 31*z**2/6 - 16*z/3 - 201. Solve g(h) = 0.
-16, 1
Determine j so that 41*j - 2313*j**2 + 2443*j**2 - 5*j**3 - 166*j = 0.
0, 1, 25
Suppose -75 = -3*m - 0*m. Suppose 5*s = -0*s + m. Solve -32*z**4 + 25*z + 3*z**3 - 16*z**s - 18*z**3 + 2*z**2 - 24*z = 0.
-1, -1/4, 0, 1/4
Factor 0 + 3/4*s**3 + 6*s**2 - 27/4*s.
3*s*(s - 1)*(s + 9)/4
Let r(p) be the first derivative of -p**4/32 + 5*p**3/12 - 17*p**2/16 + p - 42. Determine z so that r(z) = 0.
1, 8
Let t(v) be the third derivative of v**5/30 + 5*v**4/3 + 19*v**3/3 - 195*v**2. Factor t(l).
2*(l + 1)*(l + 19)
Let o = -8422 + 8425. Factor 40/3*t**2 + 5*t**o + 20/3*t + 0.
5*t*(t + 2)*(3*t + 2)/3
Let h be (-2 - 1)*(-10)/(-15)*-26. Factor -4*y - 20*y**3 - 6*y - 27*y**2 + h*y**2 + 5*y**4.
5*y*(y - 2)*(y - 1)**2
Suppose 0 = -2*y + 2*h + 42, -2*h - 105 = -5*y - 3*h. Let z be (7/y)/((-2)/(-12)). Factor -12*x + 5 + 5 + 3*x**z + 2 + 0.
3*(x - 2)**2
Let i(o) = -o**4 + 2*o**3 - o + 1. Let k(g) = -9*g**4 + 21*g**3 - 3*g**2 - 17*g + 8. Let h(n) = 24*i(n) - 3*k(n). Determine v so that h(v) = 0.
-1, 0, 3
Solve 1/6*h**4 - 98/3 + 15/2*h**2 - 28/3*h + 7/3*h**3 = 0 for h.
-7, -2, 2
Let j(a) be the second derivative of -1/24*a**3 + 0 + a + 1/48*a**4 + 0*a**2 + 1/40*a**5. Factor j(v).
v*(v + 1)*(2*v - 1)/4
Let v = 1 - 2. Let z(c) = -c**2. Let f = 35 - 31. Let l(y) = 4*y**3 - 12*y**2 - 4*y + 8. Let i(w) = f*z(w) + v*l(w). Factor i(n).
-4*(n - 2)*(n - 1)*(n + 1)
Let k(c) be the first derivative of -2 - 1/20*c**5 + c - c**2 - 1/3*c**4 - 5/6*c**3. Let o(a) be the first derivative of k(a). Factor o(m).
-(m + 1)**2*(m + 2)
Let z(n) = 195*n**3 + 4*n**2 - 207*n - 10. Let d(p) = 2730*p**3 + 55*p**2 - 2900*p - 140. Let s(v) = 6*d(v) - 85*z(v). Factor s(c).
-5*(c - 1)*(c + 1)*(39*c + 2)
Let w(q) = -2*q**3 + 3*q**2 - 2*q - 4. Let o be w(-4). Let t be 6/14 + o/70. Factor f**2 + f + f**t - 2*f**2 + f - 3*f + 1.
(f - 1)**2*(f + 1)
Let i(j) be the third derivative of -5*j**8/336 - j**7/42 + 200*j**2. Solve i(o) = 0 for o.
-1, 0
Let z(f) be the third derivative of -3/50*f**5 + 0 - 1/8*f**4 + 11*f**2 + 1/10*f**3 + 0*f. Factor z(n).
-3*(n + 1)*(6*n - 1)/5
Let i(t) = -86*t - 2748. Let r be i(-32). Factor 2/11*v**3 - 2/11*v**5 - 2/11*v**r + 2/11*v**2 + 0 + 0*v.
-2*v**2*(v - 1)*(v + 1)**2/11
Let g(f) be the first derivative of -7*f**6/360 + f**5/60 - 4*f**3/3 + 2. Let l(a) be the third derivative of g(a). Suppose l(r) = 0. Calculate r.
0, 2/7
Let s(y) = -y + 8. Let r be s(6). Factor -127 + 40*f + 0*f**r + 47 + f**2 - 6*f**2.
-5*(f - 4)**2
Let i(h) be the third derivative of 0 + 0*h**3 + 0*h + 0*h**4 + 1/40*h**6 - 21*h**2 - 1/30*h**5 - 1/336*h**8 + 0*h**7. Factor i(b).
-b**2*(b - 1)**2*(b + 2)
Suppose -2*t = 5*s - 6*s + 2, 3*s - 17 = -5*t. Let a(w) be the first derivative of 2/7*w**2 + 2/7*w**s + 0*w - 2/35*w**5 - 10/21*w**3 + 5. Factor a(v).
-2*v*(v - 2)*(v - 1)**2/7
Let u(m) be the third derivative of -m**7/840 + m**5/80 + m**4/48 - 19*m**2 - 6. Factor u(j).
-j*(j - 2)*(j + 1)**2/4
Let c(m) = 0*m**2 - m**2 - 8 - 7*m + 4 - 6. Let s be c(-4). Factor 2*g - 3*g + g**2 + 2*g + 0*g**s.
g*(g + 1)
Suppose 0 = -2*m + 4*m. Let s(d) be the second derivative of 0*d**2 + m + 1/30*d**5 - 5*d - 1/45*d**6 + 0*d**3 + 1/18*d**4 - 1/63*d**7. Factor s(f).
-2*f**2*(f - 1)*(f + 1)**2/3
Let t(p) be the first derivative of 13*p**5/10 - 9*p**4/16 - 67*p**3/12 - 9*p**2/2 - p - 212. Find n, given that t(n) = 0.
-1, -1/2, -2/13, 2
Suppose -855 = -474*h + 1041. What is c in -5/2*c**h - 9/2 + 1/2*c**5 + c**3 - 3/2*c + 7*c**2 = 0?
-1, 1, 3
Let o be 9/18*(-8)/(-2). Let i be o + ((-40)/(-6))/(-2) - -2. Suppose 0 - 2/3*l**2 - 2/3*l + 2/3*l**3 + i*l**4 = 0. Calculate l.
-1, 0, 1
Let b be (86/(-473))/(65/(-55)). Let 12/13*v**3 - b*v + 6/13*v**5 + 0 + 16/13*v**4 + 0*v**2 = 0. What is v?
-1, 0, 1/3
Let i = 39 + -36. Determine p, given that -11*p**3 + 17*p**2 - 16*p**i + 37*p**3 - 6*p - 15*p**3 = 0.
0, 2/5, 3
Let h be (1360/510)/((-16)/(-18)). Factor -50*t + 5*t**h - 55/2*t**2 - 35/2.
5*(t - 7)*(t + 1)*(2*t + 1)/2
Let k(u) be the second derivative of -11/4*u**5 + 0*u**2 + 25/12*u**4 + 2/3*u**6 + 0 + 5/3*u**3 - 13*u. Factor k(g).
5*g*(g - 2)*(g - 1)*(4*g + 1)
Factor 1/2 + 1/6*r**2 - 1/6*r**3 + 5/6*r.
-(r - 3)*(r + 1)**2/6
Let p(g) be the third derivative of -1/20*g**5 + 1/2*g**3 + 1/40*g**6 + 0*g + 5*g**2 - 1/8*g**4 + 0. Factor p(j).
3*(j - 1)**2*(j + 1)
Let t be (2 - 2 - 1)/(-2). Let c(j) be the third derivative of -1/15*j**5 + j**2 + t*j**4 + 0 + 0*j**3 + 0*j. Factor c(n).
-4*n*(n - 3)
Determine a so that -33/4*a - 39/2 + 3/4*a**2 = 0.
-2, 13
Let c = 694/5 + -1383/10. Factor 5/6*f + 1/6*f**4 - 1/3 - 1/6*f**3 - c*f**2.
(f - 1)**3*(f + 2)/6
Let y(t) = 5*t**3 - 2*t**2 + 1. Let k be (-1)/1*((2 - -2) + -5). Let d be y(k). Factor -1/5*j**3 + 0 - 1/5*j**d + 0*j + 0*j**2.
-j**3*(j + 1)/5
Factor 2/5*i**4 - 4*i**3 - 12/5*i + 56/5*i**2 - 18.
2*(i - 5)*(i - 3)**2*(i + 1)/5
Let y be -5 + (-500)/(-70) + 2/(-28)*2. Let 0 + 2/5*a**3 + 0*a + 4/5*a**2 + y*a**5 - 16/5*a**4 = 0. What is a?
-2/5, 0, 1
Let r be -2*1*(-76)/19. Factor -44*p**5 + 3 - 52*p**3 + 8*p**5 - 80*p**4 - 3 - r*p**2.
-4*p**2*(p + 1)**2*(9*p + 2)
Let y(q) = -5*q**2 + 21*q - 69. Let z(s) = -3*s**2 + 5*s - 5. Let m(h) = -h**2 + h - 1. Let c(i) = -4*m(i) + z(i). Let n(g) = -3*c(g) - y(g). Factor n(f).
2*(f - 6)**2
Let p = 3124 - 53100/17. Find o, given that -2/17*o**2 + p*o - 6/17 = 0.
1, 3
Suppose 26 + 5*a**2 - 44 - 55*a - 17 - 25 = 0. What is a?
-1, 12
Factor 10/3*a**2 - 34/3*a + 8.
2*(a - 1)*(5*a - 12)/3
Let i be -11*(-1)/20 + 4/16. Find u such that -i*u - 6/5 + 2/5*u**2 = 0.
-1, 3
Let w(b) = 5*b**5 + 36*b**4 - 19*b**3 + 11*b**2 - 11. Let r(o) = -o**5 - 7*o**4 + 4*o**3 - 2*o**2 + 2. Let t(j) = 22*r(j) + 4*w(j). Solve t(l) = 0 for l.
-6, 0, 1
Suppose -4*n - 3*m - 1 = -6*n, -4*n - 3*m + 11 = 0. Suppose 1 = l + n*i - 1, 8 = 3*l + 5*i. Factor 16*s - 26/3*s**2 - l + 4/3*s**3.
2*(s - 3)**2*(2*s - 1)/3
Let q(b) be the third derivative of b**5/36 + 5*b**4/72 - 5*b**3/9 + 71*b**2. Factor q(y).
5*(y - 1)*(y + 2)/3
Determine j, given that -2*j**2 + 2*j**2 + 9520*j + 140 - 9580*j - 5*j**2 = 0.
-14, 2
Let m = -128 + 130. Let t be (-84)/2*m/(-66). Factor 8/11*j**3 - t*j**2 + 4/11*j + 2/11.
2*(j - 1)**2*(4*j + 1)/11
Suppose -19 = -4*l - x, 2 = -26*l + 22*l + 2*x. Suppose 0 + 10/11*j**2 + 2/11*j**l - 12/11*j = 0. What is j?
-6, 0, 1
Determine l, given that -48 - 4*l - 6*l + 3*l + 11*l + 4*l**2 = 0.
-4, 3
Let h(i) = -i**3 - 22*i**2 + 37*i + 61. Let k(u) = u**3 + 44*u**2 - 75*u - 123. Let s(a) = -5*h(a) - 3*k(a). Factor s(v).
2*(v - 8)*(v - 4)*(v + 1)
Let r be 132/748 - (-59)/51. Factor r*m**2 + 22/9*m + 4/3 + 2/9*m**3.
2*(m + 1)*(m + 2)*(m + 3)/9
Let d(w) be the first derivative of -3*w**5/4 + 10*w**4/3 + 10*w**3/3 + 8*w**2 - w - 46. Let h(m) be the second derivative of d(m). Factor h(r).
-5*(r - 2)*(9*r + 2)
Let y(r) = r**3 - r**2 - 2. Let q(l) = l**4 + 7*l**3 + 26*l**2 + 14*l + 6. Let i(g) = 2*q(g) + 6*y(g). Factor i(n).
2*n*(n + 1)*(n + 2)*(n + 7)
Let y(u) be the second derivative of -u**8/8960 - u**7/2016 - u**6/1440 + 5*u**4/12 + 15*u. Let d(w) be the third derivative of y(w). Factor d(j).
-j*(j