(h) + 2*w(h). Factor z(o).
o*(o - 17)
What is i in 1/4*i**2 + 3/4*i**4 - 3/4*i**3 + 0*i - 1/4*i**5 + 0 = 0?
0, 1
Let v(l) be the second derivative of l**6/10 + 21*l**5/10 - 117*l**4/4 + 35*l**3 + 300*l**2 - 78*l + 7. Let v(g) = 0. Calculate g.
-20, -1, 2, 5
Let j(a) be the third derivative of -3*a**7/385 + a**6/33 + 59*a**5/330 + a**4/6 - 8*a**3/33 + 2*a**2 + 340. Let j(g) = 0. What is g?
-1, 2/9, 4
Let k(u) be the first derivative of -73 + 17/3*u**3 + 19*u + 1/4*u**4 - 37/2*u**2. Factor k(o).
(o - 1)**2*(o + 19)
Let r(u) be the first derivative of u**6/30 - 23*u**5/60 + 7*u**4/12 - 139*u**3/3 - 50. Let y(j) be the third derivative of r(j). Find h, given that y(h) = 0.
1/3, 7/2
Suppose -1021*i + 1019*i = -10. Suppose -i*l + 3*l + 6 = 3*x, x - 2 = 4*l. Find s such that -6/5*s + 0 + 3/5*s**x = 0.
0, 2
Let f be ((-5730)/153 - (-14)/119)*-3. Factor 192*n**3 - f*n**4 + 20*n**5 - 17*n**2 - 31*n - 33*n - 47*n**2.
4*n*(n - 2)**3*(5*n + 2)
Let m(o) be the third derivative of -o**7/420 + 11*o**6/240 + 17*o**5/120 - 21*o**4/16 + 3*o**3 + 2*o**2 + 14*o. Solve m(b) = 0.
-3, 1, 12
Let n(k) be the second derivative of k**10/6048 + k**9/1512 + k**8/1344 - 25*k**4/12 - 42*k. Let a(j) be the third derivative of n(j). Factor a(l).
5*l**3*(l + 1)**2
Let m = 808129 + -2424385/3. Determine g so that -40*g - 112/3 - m*g**3 - 12*g**2 = 0.
-14, -2
Let o(i) be the first derivative of i**6/150 - 138*i + 24. Let h(n) be the first derivative of o(n). Factor h(x).
x**4/5
Find y such that 17/2*y**2 + 95/4*y + 31/2 + 1/4*y**3 = 0.
-31, -2, -1
Suppose 15*i - i**3 - 43*i - 84*i - 30*i**2 - 120 - i**3 = 0. What is i?
-10, -3, -2
Let a = -22438 - -67316/3. Suppose -22 = -3*j + 4*n, j + 6*n + 18 = n. Let a*m**3 - 8/9*m + 8/9*m**j + 0 = 0. What is m?
-2, 0, 2/3
Let s be 1/(-10)*(5 + 55/(-10)). Let i(r) be the second derivative of s*r**5 + 0 - 2*r - 1/4*r**4 + 3/2*r**2 - 1/6*r**3. Solve i(z) = 0.
-1, 1, 3
Let -2/15*k**2 - 2332/15 - 78*k = 0. What is k?
-583, -2
Find u, given that 391*u + 5*u**2 - 1984 + 879*u + 296*u + 1402*u + 7*u**2 = 0.
-248, 2/3
Suppose -16 - 36 = -140*y + 136*y. Let d(n) be the first derivative of 2*n**4 + 8*n**2 - 4*n + y - 20/3*n**3. Factor d(m).
4*(m - 1)**2*(2*m - 1)
Let l be (90/510 + 12/(-357))*2*1. Factor -46/7*y + 4 + 20/7*y**2 - l*y**3.
-2*(y - 7)*(y - 2)*(y - 1)/7
Let v(b) = 20*b**4 + 20*b**3 + 28*b**2 - 4*b - 16. Let h(u) = -6*u**4 - 7*u**4 + 1 - u**3 - 2*u**2 + 12*u**4 + 0*u**4. Let m(x) = -16*h(x) - v(x). Factor m(j).
-4*j*(j - 1)*(j + 1)**2
Suppose 5*v - 20 = 2*h, -3*h - 14 = 3*v + h. Solve -t**3 - 16947*t - 5*t**3 + 2819876 + 2*t**3 - 4644*t - 73461*t + 1068*t**v = 0.
89
Let g(b) = 2. Suppose -13*l - 142 + 64 = 0. Let q(w) = w**3 - 12*w**2 + 48*w - 58. Let a(p) = l*g(p) + 2*q(p). Factor a(n).
2*(n - 4)**3
Factor -397*n + 52 - 443*n + 844*n - 4*n**3 + 2084 - 556*n**2 - 1580*n**2.
-4*(n - 1)*(n + 1)*(n + 534)
Suppose -2*p = -o - 7, p - 6 = 2*o + 2. Suppose 0 = z - 5, f - 7 = -p*z + 6. Let -72*n**2 + 108 + 0*n**2 + 53*n**3 - 21*n**f - 4*n**4 = 0. What is n?
-1, 3
Let i(l) be the first derivative of -3*l**5/5 - 9*l**4/4 + 7*l**3 + 45*l**2/2 - 54*l + 279. Let i(x) = 0. What is x?
-3, 1, 2
Let b(x) = -x**3 + x**2 - 20*x - 34. Let g(n) = n**2 - 2. Let s(f) = 12*f**2 + 22*f - 6. Let v be s(-3). Let j(t) = v*g(t) - 4*b(t). Factor j(d).
4*(d + 2)**2*(d + 4)
Let x(w) be the second derivative of 3*w**5/4 - 57*w**4 + 174*w**3 + 264*w**2 + 16*w - 9. Determine c so that x(c) = 0.
-2/5, 2, 44
Let d(k) be the third derivative of -14*k**2 + 0*k - 1/270*k**5 - 7/36*k**4 - 20/27*k**3 + 0. Factor d(u).
-2*(u + 1)*(u + 20)/9
Factor 3/7*m**5 + 0*m**2 - 72/7*m**4 + 0 + 69/7*m**3 + 0*m.
3*m**3*(m - 23)*(m - 1)/7
Suppose 248*a + 70 = 241*a. Let x = 0 + 1. Let z(r) = -2*r**2 + 2. Let w(s) = s + 1. Let u(j) = a*w(j) + x*z(j). Factor u(n).
-2*(n + 1)*(n + 4)
Let i(n) = 73*n + 104. Let v be i(-10). Let l = 5636/9 + v. Factor 4/3*j - 2/9*j**3 + 0 + l*j**2.
-2*j*(j - 3)*(j + 2)/9
Let s(k) be the first derivative of -200/9*k - 1/9*k**4 - 220/9*k**2 - 11 - 82/27*k**3. Factor s(m).
-2*(m + 10)**2*(2*m + 1)/9
Let r be (-20)/(-34)*166/415. Let h(d) be the first derivative of r*d**2 + 25/51*d**6 + 69/34*d**4 - 16 - 28/17*d**5 + 0*d - 56/51*d**3. Factor h(g).
2*g*(g - 1)**2*(5*g - 2)**2/17
Let n = -59257/6 - -177773/18. Determine h so that n*h**3 + 1/3*h - 1 + 5/9*h**2 = 0.
-3, 1
Suppose -c + 5*f - 3 = 0, -2727*f - 7 = -2*c - 2730*f. Let -16/9 + 28/9*j - 10/9*j**c = 0. What is j?
4/5, 2
Find h, given that 2/5*h**3 + 484/5 + 194*h + 488/5*h**2 = 0.
-242, -1
Let h(y) be the first derivative of -y**4/60 - y**3/5 - 4*y**2/5 - 31*y + 51. Let g(s) be the first derivative of h(s). Factor g(d).
-(d + 2)*(d + 4)/5
Suppose -18 = 42*z - 48*z. Factor 190*n**2 - 5 - 2*n**z + 1 - 4*n - 183*n**2.
-(n - 2)**2*(2*n + 1)
Let t(p) = 5*p**4 - 100*p**3 - 55*p**2 + 110*p - 20. Let z(d) = 5*d**3 - d**2 + 2. Let o(y) = -t(y) - 10*z(y). Suppose o(u) = 0. Calculate u.
-2, 0, 1, 11
Let f(t) be the first derivative of -t**5/25 - t**4/5 + 8*t**3/15 + 2*t + 126. Let v(d) be the first derivative of f(d). Let v(z) = 0. What is z?
-4, 0, 1
Let j be ((-42)/7 + 1148/189)*12/4. Let r(l) be the first derivative of -6 - l**2 - j*l**3 - 4/3*l. Factor r(c).
-2*(c + 1)*(c + 2)/3
Suppose -w - 30 = -3*g, -1923 + 1943 = 2*g. Find b, given that 0 - 2/3*b**2 + 2/3*b**4 - 11/3*b**5 + 11/3*b**3 + w*b = 0.
-1, 0, 2/11, 1
Let v = 16874/7 + -95962/35. Let s = v + 332. Suppose -6/5*h - 16/5*h**2 - 6/5*h**3 + s = 0. Calculate h.
-2, -1, 1/3
Let y(d) be the third derivative of -d**6/30 - 2*d**5/5 + 45*d**4/2 + 2492*d**2. Factor y(c).
-4*c*(c - 9)*(c + 15)
Let c(z) = 700*z - 29389. Let k be c(42). Solve 1/3*p**5 + 3 + k*p + 10*p**3 + 46/3*p**2 + 3*p**4 = 0 for p.
-3, -1
Let f be (-28 - -24)/(((-4)/2)/1). Factor 0*v**f - 6*v**2 + 692 + 0*v**2 - 2*v + 2*v**3 - 686.
2*(v - 3)*(v - 1)*(v + 1)
Let i(x) = 9*x**2 + 16*x - 39. Let a be i(-6). Factor 4*j**2 + j**5 + 187*j - 6*j**3 - 368*j + 4 - j**4 - 4 + a*j.
j*(j - 2)**2*(j + 1)*(j + 2)
Let v be (10*8/(-480)*2)/((-48)/(-27) - 2). Determine u, given that v*u**2 + 0 + 3*u = 0.
-2, 0
Let a = -64889 - -64889. Find f, given that -16/5*f**2 - 24/5*f**3 + a*f + 0 - 9/5*f**4 - 1/5*f**5 = 0.
-4, -1, 0
Let p(g) be the first derivative of 129 - 108*g - 60*g**2 - 13*g**3 - 3/4*g**4. Determine y, given that p(y) = 0.
-9, -2
Let z be (-49)/(-3) + (21/3)/(-21). Suppose -z*k + 14*k = -8. Factor 2 - 11*g**k - 6 - 2*g**3 + 32*g**2 + g**2 - 20*g + 4*g.
-(g - 1)**2*(g + 2)*(11*g + 2)
Let t be 720 + ((-1)/2)/(8/(-32)). Let w = 724 - t. Factor -3/2*v - 1/2*v**w - 1.
-(v + 1)*(v + 2)/2
Let h(w) = -3*w**2 - 10*w + 47. Let r = -472 + 439. Let s(c) = 48*c**2 + 162*c - 753. Let j(y) = r*h(y) - 2*s(y). Suppose j(m) = 0. What is m?
-5, 3
Let x(h) be the first derivative of h**4/24 + 13*h**3/12 - 7*h**2/2 + 86*h - 20. Let t(m) be the first derivative of x(m). Suppose t(y) = 0. Calculate y.
-14, 1
Factor -236*s**3 - 4*s**4 - 400*s**2 - 16627996 - 272*s**2 + 16628892 + 16*s.
-4*(s - 1)*(s + 2)**2*(s + 56)
Let s(f) be the third derivative of -67/30*f**5 + 93*f**2 - 1/60*f**6 + 0*f - 131/12*f**4 + 0 - 65/3*f**3. Factor s(a).
-2*(a + 1)**2*(a + 65)
Suppose 25*l - 38*l - 5772 = 0. Let x = l + 448. Find f such that 2/3*f**3 + 2/5*f + 0 - 2/15*f**x - 14/15*f**2 = 0.
0, 1, 3
Let i(z) be the third derivative of z**6/120 - 41*z**5/60 - z**2 - z - 220. Factor i(t).
t**2*(t - 41)
Let g(c) be the first derivative of -5*c**3 + 1/288*c**6 + 0*c - 18 + 845/96*c**4 - 13/48*c**5 + 0*c**2. Let l(o) be the third derivative of g(o). Factor l(a).
5*(a - 13)**2/4
Let t be 0*(-10 + -4)/28*1/(-3). Let l = -17/57 - -12/19. Let l*y**3 + t + y - 4/3*y**2 = 0. Calculate y.
0, 1, 3
Suppose -q + 3 = -3*b, -5*q - 6*b + b + 75 = 0. Suppose q = -0*a + 6*a. Factor -8*m**a - 6*m + 8*m + 0*m + 2*m**3 - 4 + 8*m.
2*(m - 2)*(m - 1)**2
Suppose -4*s - 361 + 421 = -3*a, -5*s = 3*a + 60. Find u, given that 45/8*u - 3/8*u**3 + s - 21/4*u**2 = 0.
-15, 0, 1
Let t(h) be the third derivative of 4/33*h**3 + 1/660*h**6 - 2/165*h**5 - 5*h**2 - 3 - 1/132*h**4 + 0*h. Factor t(a).
2*(a - 4)*(a - 1)*(a + 1)/11
Determine v so that -1/9*v**3 - 1/3*v + 10/9*v**2 - 6 = 0.
-2, 3, 9
Let m(g) = 1. Let u(d) = 362*d**3 + 2*d**2 - 3 - 7 - 364*d**3. Let j be -4 + 3 + 0 - -2. Let c(b) =