et x(h) be the second derivative of h**5/110 - h**4/66 - 17*h**3/33 - 15*h**2/11 + 435*h + 2. Factor x(n).
2*(n - 5)*(n + 1)*(n + 3)/11
Let l be 24/(-144) - (0 - 25/6). Let p(y) = -y**3 + 2*y**2 + 9*y - 1. Let s be p(l). Solve -2*j**4 - 5*j**2 + 3*j - 5*j**s - 2*j + 4*j + 7*j**4 = 0 for j.
-1, 0, 1
Let k(b) be the third derivative of b**5/510 - 805*b**4/51 + 2592100*b**3/51 + 2096*b**2 - 2. Determine x so that k(x) = 0.
1610
Let y = -1384 - -665. Let k = -47 - y. Factor -k + 36*t + 28*t**3 - 58*t**2 - 2*t**2 + 672 - 4*t**4.
-4*t*(t - 3)**2*(t - 1)
Let u(n) be the third derivative of -n**6/60 - 2*n**5/3 + 275*n**4/12 - 250*n**3 - 1412*n**2. Determine g so that u(g) = 0.
-30, 5
Let w(z) be the first derivative of 0*z**3 + 0*z**2 + 144 - z**5 - 25/4*z**4 + 0*z. Suppose w(b) = 0. What is b?
-5, 0
Let c(i) = 11*i**5 - 84*i**4 + 91*i**3 + 24*i**2 + 6*i. Let s(m) = 45*m**5 - 335*m**4 + 365*m**3 + 100*m**2 + 25*m. Let j(w) = 25*c(w) - 6*s(w). Factor j(g).
5*g**3*(g - 17)*(g - 1)
Let x(y) be the first derivative of 3/4*y**2 - 3 - 5/8*y**3 - 3/80*y**5 + 1/4*y**4 - 5*y. Let o(t) be the first derivative of x(t). Let o(p) = 0. Calculate p.
1, 2
Determine v, given that 246/7*v**3 + 8640/7 + 7488/7*v + 6/7*v**4 + 2220/7*v**2 = 0.
-30, -4, -3
Let f(t) be the first derivative of -t**5/10 + 13*t**4/3 - 169*t**3/3 - 122*t - 60. Let d(i) be the first derivative of f(i). Factor d(r).
-2*r*(r - 13)**2
Let h(u) be the second derivative of 3*u**5/70 + 103*u**4/42 + 19*u**3/3 + 33*u**2/7 - 1643*u. Factor h(d).
2*(d + 1)*(d + 33)*(3*d + 1)/7
Let b(p) = 3*p**4 + 4*p**2 - 5*p - 7. Let k = 12 - 16. Let q(z) = 2*z**4 + 4*z**2 - 4*z - 6. Let n(u) = k*b(u) + 5*q(u). Factor n(o).
-2*(o - 1)**2*(o + 1)**2
Let a(h) be the third derivative of -5*h**8/336 + h**7/42 + 7*h**6/12 + 13*h**5/6 + 95*h**4/24 + 25*h**3/6 - 3596*h**2. Suppose a(i) = 0. What is i?
-1, 5
Let f be (48/42)/((-3)/(-21)). Suppose 4*h = f*h - 24. What is r in -r**2 + r**5 + 0*r**5 + h*r**4 - 5*r**4 + 2*r - 3*r**3 = 0?
-2, -1, 0, 1
Let t(g) be the first derivative of g**5/60 + g**4/12 - 2*g**3/9 - 33*g - 12. Let y(u) be the first derivative of t(u). Solve y(r) = 0 for r.
-4, 0, 1
Suppose -32*y + 182 = -298. Determine k so that -10144*k**5 - 3*k - 15*k - y*k**2 - 17*k**2 - 4 + 10142*k**5 - 28*k**3 - 12*k**4 = 0.
-2, -1
Let r(w) be the second derivative of -w**4/60 - 7*w**3/15 + 24*w**2 - 1827*w. Determine y so that r(y) = 0.
-24, 10
Suppose 6410*z + 57 = 6429*z. Factor -2/5*f**4 + 0 - 4/5*f**z + 14/5*f**2 - 8/5*f.
-2*f*(f - 1)**2*(f + 4)/5
Suppose 8/13 - 2*y + 28/13*y**2 - 10/13*y**3 = 0. What is y?
4/5, 1
Suppose 20075*n - 65443 - 5*n**3 + 1135*n**2 + 5467 - 37536*n - 5004 - 46379*n = 0. What is n?
-1, 114
Let r(y) = -y**3 + 6*y**2 + y - 3. Let n(d) = -10*d**3 - 97*d**2 + 85*d + 37. Let w(b) = n(b) - 5*r(b). Determine g so that w(g) = 0.
-26, -2/5, 1
Let v = -17512824/19 - -921728. Factor -2/19*i**5 + 0 - 2/19*i - 12/19*i**3 + v*i**4 + 8/19*i**2.
-2*i*(i - 1)**4/19
Let v(h) be the third derivative of 4*h**2 - 75/16*h**3 + h + 5/32*h**4 - 1/480*h**5 + 0. Factor v(j).
-(j - 15)**2/8
Let o(b) be the third derivative of b**6/40 - 3*b**5/20 - 7*b**4/2 + 30*b**3 + 498*b**2. Factor o(v).
3*(v - 6)*(v - 2)*(v + 5)
Let t(c) be the second derivative of 25/18*c**3 + 0 + 64*c + 5/36*c**4 - 5*c**2. Solve t(n) = 0 for n.
-6, 1
Let l(i) = -16*i - i**2 - 4*i**2 + 84 + 2*i**2 + 11*i**2. Let u(x) = x**2 + x + 1. Let m(z) = -l(z) + 12*u(z). Factor m(w).
4*(w - 2)*(w + 9)
Let s = 4374 + -4373. Let u(y) be the first derivative of 1/2*y**4 - 1/3*y**6 - s + 0*y + 0*y**5 + 0*y**3 + 0*y**2. Factor u(f).
-2*f**3*(f - 1)*(f + 1)
Solve 375 - 752*c - c + 5*c**2 - c**2 + 2*c**2 = 0.
1/2, 125
Let i be (0/1)/((-4)/4). Suppose 2*c + 3*c = l - 23, 3*l + 2*c - 1 = i. Factor 4 + 6*d - 26*d**l - 28*d**3 + 52*d**3.
-2*(d - 2)*(d + 1)**2
Solve 3364/9*a + 1/9*a**2 + 2829124/9 = 0.
-1682
Let l(i) be the third derivative of 0 - 1/5*i**5 + 17*i**2 - 3/20*i**6 + 0*i**3 + i**4 + 1/70*i**7 - i + 1/112*i**8. Factor l(w).
3*w*(w - 2)*(w - 1)*(w + 2)**2
Let b be -4*3/72*0. Suppose n - 17 = 5*c - 41, b = c - 4*n - 20. Determine u so that -2/15*u**c - 2/5 + 8/15*u**2 - 4/15*u**3 + 4/15*u = 0.
-3, -1, 1
Let d(l) be the second derivative of l**7/35 + 7*l**6/75 - 9*l**5/50 - 7*l**4/30 + 2*l**3/5 + 849*l - 1. Suppose d(p) = 0. What is p?
-3, -1, 0, 2/3, 1
Solve 273/2*g**4 - 147/2*g**5 - 123*g**2 + 153/2*g - 3*g**3 - 27/2 = 0.
-1, 3/7, 1
Let x(i) be the first derivative of -35*i**4/4 - 265*i**3/3 - 115*i**2 + 1020. Factor x(w).
-5*w*(w + 1)*(7*w + 46)
Let t(f) be the second derivative of 2*f + 0*f**2 - 32/9*f**4 - 23/15*f**5 - 36 - 2/15*f**6 - 8/3*f**3. Find i such that t(i) = 0.
-6, -1, -2/3, 0
Let p(v) be the second derivative of -v**6/1260 - 2*v**5/105 - v**4/12 - 18*v**3 + 29*v - 2. Let o(t) be the second derivative of p(t). Factor o(r).
-2*(r + 1)*(r + 7)/7
Let i = -48 + 61. Suppose 7*h - i*h = -18. Let 31*u**2 - 46*u**2 + 5*u**h - u**4 + 5*u**3 - 3*u**3 + 9*u = 0. Calculate u.
0, 1, 3
Let b(d) = -8*d**2 - 445*d + 438. Let j(z) = -29*z**2 - 1779*z + 1753. Let l(g) = 11*b(g) - 3*j(g). Factor l(w).
-(w - 441)*(w - 1)
Let x(n) be the third derivative of -n**5/60 + n**4/3 + 3*n**3/2 - 30*n**2. Let i(f) = -f**2 + 1. Let m(z) = 2*i(z) - x(z). Determine h, given that m(h) = 0.
-7, -1
Let m(z) = -45*z**2 - 868*z - 412. Let t(w) = 11*w**2 + 219*w + 102. Let n(d) = 6*m(d) + 26*t(d). Factor n(i).
2*(i + 30)*(8*i + 3)
Let r(u) be the first derivative of -14*u**3 + 0*u - 164 + 0*u**2 - 69/4*u**4 - 6*u**5 - 1/2*u**6. Suppose r(x) = 0. What is x?
-7, -2, -1, 0
Let h(n) be the first derivative of -n**6/360 - n**5/36 + n**4/72 + 5*n**3/18 + n**2/2 + 97*n + 154. Let b(i) be the second derivative of h(i). Factor b(s).
-(s - 1)*(s + 1)*(s + 5)/3
Let u = 523 - 518. Suppose u*f - 9*f + 16 = -2*q, 0 = 4*f - 20. Find x, given that -40/9*x**4 - 8/9*x**3 + 26/9*x + 4*x**2 + 4/9 - q*x**5 = 0.
-1, -2/9, 1
Let k(a) be the second derivative of a**7/231 - 14*a**6/55 + 94*a**5/55 - 53*a**4/33 - 63*a**3/11 + 148*a**2/11 - 7*a - 181. Suppose k(t) = 0. What is t?
-1, 1, 4, 37
Suppose 99/7*o - 162/7 + 3/7*o**3 + 60/7*o**2 = 0. Calculate o.
-18, -3, 1
Let r(t) = t**2 + 2*t - 1. Let x = -30 + 35. Let z(y) = y**2 - 18*y + 27. Let i(j) = x*r(j) - z(j). Factor i(b).
4*(b - 1)*(b + 8)
Suppose 4*w = -5*j + 55 - 38, j = 1. Let 58*n**2 - 390*n - 22*n**2 + 16*n**w + 398*n = 0. Calculate n.
-2, -1/4, 0
Let c(q) be the second derivative of 3*q**5/4 + 55*q**4/12 - 25*q**3/2 - 315*q**2/2 + 36*q + 28. Find f, given that c(f) = 0.
-3, 7/3
Suppose -90*u**3 - 436/5*u**2 - 32/5 + 264/5*u - 81/5*u**4 = 0. Calculate u.
-4, -2, 2/9
Let g(z) be the third derivative of z**8/2688 - z**7/280 - z**6/40 - 13*z**5/240 - 3*z**4/64 + 674*z**2. Factor g(x).
x*(x - 9)*(x + 1)**3/8
Factor 2786/15*v**2 + 2782/15 + 5566/15*v + 2/15*v**3.
2*(v + 1)**2*(v + 1391)/15
Let v be (-3)/(45/(-25)) - (-5)/(-30). Let z be ((-6)/(-20))/(((-32)/(-20))/4). Let 1/2*u**5 - v - 13/4*u**3 - 33/4*u**2 - 25/4*u + z*u**4 = 0. What is u?
-2, -1, -1/2, 3
Suppose 13499 - 27544 - 60*c + 13695 + 2*c**2 = 0. Calculate c.
-5, 35
Determine r, given that 2/11*r**4 - 28/11*r**3 - 4*r + 70/11*r**2 + 0 = 0.
0, 1, 2, 11
What is x in -959/2*x**2 - 1087/2*x**3 - 65/2*x**4 + 512 - 1/2*x**5 + 544*x = 0?
-32, -1, 1
Determine u so that 17/5*u + 61/5*u**2 - 12 - 17/5*u**3 - 1/5*u**4 = 0.
-20, -1, 1, 3
Solve -608 + 2*w**2 + 1269 + 466*w - 197 = 0 for w.
-232, -1
Find m such that -1/5*m**3 - 8 - 17/5*m**2 + 58/5*m = 0.
-20, 1, 2
Let z(u) be the third derivative of -u**5/20 + 37*u**4/4 - 72*u**3 + 111*u**2 - u + 2. Factor z(n).
-3*(n - 72)*(n - 2)
Let 73*q**3 - 74*q**3 + 51 - 49*q**2 + 28*q - 87*q**2 - 297*q - 185 = 0. Calculate q.
-134, -1
Factor 4*l - 3510*l**4 + 3509*l**4 + 3*l**2 + l**3 + l**2 - 2*l**3.
-l*(l - 2)*(l + 1)*(l + 2)
Let u be ((-2)/6)/(6/(-9)). Let f = -140/17 - -297/34. Suppose u*h**2 + f - h = 0. What is h?
1
Let -1911*u + 25*u**2 - 990 + 4185*u - 2089*u = 0. What is u?
-11, 18/5
Factor -82/5*z**3 + 3/5*z**4 - 56/5*z**2 + 0*z + 0.
z**2*(z - 28)*(3*z + 2)/5
Let d = -3011 - -3016. Let v(o) be the third derivative of 1/240*o**6 + 0*o**d + 0*o**3 - 32*o**2 + 0*o - 1/420*o**7 + 0 + 0*o**4. Factor v(u).
-u**3*(u - 1)/2
Let z be 31403/60 - (2704/(-195) + 14). 