(3*w - 1)
Let o be 0/(-18 + (-220)/(-10)). Factor 0*w - 4/9*w**2 - 2/9*w**3 + o.
-2*w**2*(w + 2)/9
Let l be 0/(21 - (36 - 16)). Find z, given that 0 + 1/4*z**3 + 0*z**2 + l*z = 0.
0
Let b(v) be the third derivative of -v**8/2240 - v**7/420 + v**6/80 - v**4/6 - 33*v**2. Let w(r) be the second derivative of b(r). Factor w(x).
-3*x*(x - 1)*(x + 3)
Suppose 90 = 12*s - 6*s. Factor -s*f + 16 + 14*f**2 - 20 + 5*f.
2*(f - 1)*(7*f + 2)
Let i(n) be the second derivative of n**5/16 + 5*n**4/8 - 125*n**3/24 + 45*n**2/4 - 76*n. Factor i(w).
5*(w - 2)*(w - 1)*(w + 9)/4
Let t(o) = o**3 - 5*o**2 - 2*o - 12. Let v be t(6). Suppose -4*p = -0*y + 5*y - v, -5*y - 6 = -2*p. Factor 1/4*x**3 + 1/4*x**2 + y + 0*x.
x**2*(x + 1)/4
Let l = -570 - -25652/45. Let d(y) be the first derivative of 8/15*y**2 - 4 + 32/15*y + l*y**3. Factor d(s).
2*(s + 4)**2/15
Let x be (-9)/((-9)/(-4)) - -18. Suppose -29 + x = -3*q. Determine z so that 0*z**2 + 0 + 0*z - 2/3*z**q - 2/3*z**3 - 4/3*z**4 = 0.
-1, 0
Factor 276/5*l - 4/5*l**2 + 0.
-4*l*(l - 69)/5
Let s(n) be the third derivative of 3*n**2 + 1/300*n**6 + 1/60*n**4 + 0*n + 0*n**3 + 1/75*n**5 + 0. Factor s(z).
2*z*(z + 1)**2/5
Let f = 7214/5 - 1442. Factor f*w**2 - 8/5*w + 4/5*w**3 + 0.
4*w*(w - 1)*(w + 2)/5
Solve -32/3*a**3 + 75 - 160*a + 1/3*a**4 + 286/3*a**2 = 0 for a.
1, 15
Let n(t) be the third derivative of -45*t**2 - 1/15*t**6 - 2/15*t**5 + 2/105*t**7 + 0 + 1/84*t**8 + 1/6*t**4 + 2/3*t**3 + 0*t. Let n(v) = 0. What is v?
-1, 1
Let m(q) be the third derivative of q**7/105 + 36*q**6/5 + 11664*q**5/5 + 419904*q**4 + 45349632*q**3 - 227*q**2. Factor m(g).
2*(g + 108)**4
Let v(s) be the second derivative of 14*s**6/15 + 8*s**5 - 4*s**4 - 448*s**3/3 + 128*s**2 + 4*s + 12. Factor v(l).
4*(l - 2)*(l + 4)**2*(7*l - 2)
Let v(g) be the first derivative of 1/9*g**4 + 2/3*g**3 + 4/3*g**2 + 7 - 7*g. Let s(r) be the first derivative of v(r). Suppose s(x) = 0. What is x?
-2, -1
Let x(k) = 6*k**2 + 1267*k - 5. Let i(h) = -21*h**2 - 4434*h + 18. Let a(r) = 5*i(r) + 18*x(r). Factor a(s).
3*s*(s + 212)
Let c(h) be the second derivative of -3*h**5/20 - 367*h**4/4 - 33855*h**3/2 - 100467*h**2/2 - 446*h. Factor c(w).
-3*(w + 1)*(w + 183)**2
Let u(g) be the third derivative of -2*g**7/525 - g**6/150 + g**5/75 + g**4/30 + 64*g**2. Factor u(w).
-4*w*(w - 1)*(w + 1)**2/5
Factor 24*h - 53 - 3*h**2 - 41 - 49 - 38 + 136.
-3*(h - 5)*(h - 3)
Let q(c) = 5*c**4 - 36*c**3 - 44*c**2 + 36*c + 43. Let k(z) = -6*z**4 + 36*z**3 + 45*z**2 - 36*z - 45. Let v(y) = -2*k(y) - 3*q(y). Factor v(u).
-3*(u - 13)*(u - 1)*(u + 1)**2
Let p(z) be the third derivative of z**8/1680 + z**7/840 - z**6/60 - z**5/30 + z**4/3 + 7*z**3/2 + z**2. Let k(f) be the first derivative of p(f). Factor k(a).
(a - 2)*(a - 1)*(a + 2)**2
What is l in 0 + 10/9*l**2 + 0*l - 2/9*l**3 = 0?
0, 5
Suppose -j - 5*h + 146 = -23, 3*j - 2*h = 456. Let c = j - 151. Suppose -2/9 + 2/9*i**4 + 4/9*i**c + 0*i**2 - 4/9*i = 0. Calculate i.
-1, 1
Suppose -k + 3*k - 40 = 0. Suppose 6*z = 11*z - k. Let -36*b - 8 + 24*b + 0 - z*b**2 = 0. Calculate b.
-2, -1
Let k be (-3)/(-42)*-66 - (-5 + 0). Let y(u) be the first derivative of -2/21*u**3 - k*u**2 - 2/7*u + 4. Factor y(z).
-2*(z + 1)**2/7
Suppose -7*w + 2*w = 50. Let q be w/65 + (-613)/(-13). Factor -27*h + 2*h**3 + 2*h**3 - 16*h**2 + q*h - 8.
4*(h - 2)*(h - 1)**2
Let i(l) be the second derivative of l**4/4 - 2*l**3/3 + 12*l - 1. Let f(a) = -5*a**2 + 10*a. Let y(m) = -2*f(m) - 5*i(m). Solve y(c) = 0.
0
Find j such that 2/5*j**4 - 14/5*j**3 + 28/5*j**2 + 0 - 16/5*j = 0.
0, 1, 2, 4
Let p be -8*(-2)/(8/4). Find a such that -p*a + 9 - 7 - 8 - 2*a**2 = 0.
-3, -1
Determine f so that 5/7*f + 2/7 + 1/7*f**3 + 4/7*f**2 = 0.
-2, -1
Let u(j) = 1. Let g(w) = -5*w**2 - 3*w - 2. Let k(b) = -g(b) + 4*u(b). Let n(s) = 2*s**2 + s + 2. Suppose f - 16 = -f. Let x(d) = f*n(d) - 3*k(d). Factor x(q).
(q - 2)*(q + 1)
Let a(z) be the third derivative of -z**8/1680 + z**6/180 - 11*z**4/8 + 5*z**2. Let n(o) be the second derivative of a(o). Let n(f) = 0. Calculate f.
-1, 0, 1
Let z(u) = -43 + 21 - 170*u + 177*u - 18. Let n be z(6). Determine p so that p**3 + 0 - 1/4*p + 3/4*p**n = 0.
-1, 0, 1/4
Factor c**3 - 4*c - 69*c**2 - 15*c**2 + 87*c**2.
c*(c - 1)*(c + 4)
Suppose -3*r - 9 = -f - 0*r, -4*f - 2*r + 8 = 0. Factor -25*z**4 - 2*z**3 - 6*z**3 + 17*z**4 + 4*z**2 + 4*z**f.
-4*z**2*(z + 1)*(2*z - 1)
Factor 15/2*m**3 - 15/2*m + 3/2*m**2 - 3/2*m**4 + 0.
-3*m*(m - 5)*(m - 1)*(m + 1)/2
Let d(p) be the second derivative of -25*p**2 + 0 - 115/6*p**3 + 25/12*p**4 - 17*p. Factor d(f).
5*(f - 5)*(5*f + 2)
Let i(h) be the third derivative of 2/3*h**3 + 1/20*h**6 - 1/105*h**7 - 1/4*h**4 - 1/30*h**5 + 0 + 7*h**2 + 0*h. Let i(g) = 0. Calculate g.
-1, 1, 2
Let -26/5*p**3 + 8/5*p**4 + 6*p**2 - 14/5*p + 2/5 = 0. What is p?
1/4, 1
Let z(j) be the first derivative of -j**6/24 - j**5/20 + 3*j**4/8 + 7*j**3/6 + 11*j**2/8 + 3*j/4 + 165. Factor z(x).
-(x - 3)*(x + 1)**4/4
Let l(j) be the third derivative of 5*j**8/168 - 5*j**7/42 - 7*j**6/8 - 19*j**5/12 - 25*j**4/24 - 6*j**2 - 11. Find b, given that l(b) = 0.
-1, -1/2, 0, 5
Let w(n) be the first derivative of -5*n**3/3 + 15*n**2/2 + 140*n - 243. Factor w(l).
-5*(l - 7)*(l + 4)
Let p = -529 - -532. Factor 0*w**2 - w**p + 1/2*w**5 + 0 + 1/2*w + 0*w**4.
w*(w - 1)**2*(w + 1)**2/2
Let -16/3*x**3 + 0*x - 16*x**2 + 4/3*x**4 + 0 = 0. Calculate x.
-2, 0, 6
Let t(m) be the third derivative of -m**7/525 - 23*m**6/300 - 143*m**5/150 - 121*m**4/60 + m**2 + 322*m. Solve t(c) = 0 for c.
-11, -1, 0
Let s(y) be the third derivative of -y**2 - 1/21*y**4 - 1/735*y**7 + 0*y + 1/420*y**6 + 2/105*y**5 + 0 + 0*y**3. Find c, given that s(c) = 0.
-2, 0, 1, 2
Let m(r) = 8*r**4 + 12*r**3 - 4*r + 6. Let y = -71 - -59. Let c(d) = -d**4 - d**3 + d**2 + d - 1. Let l(k) = y*c(k) - 2*m(k). Let l(v) = 0. Calculate v.
-1, 0
Let h(b) be the first derivative of 5*b**4/12 + 5*b**3/2 + 24*b + 32. Let r(d) be the first derivative of h(d). Let r(i) = 0. Calculate i.
-3, 0
Let k be 6/(-8)*-1 - 763/(-28). Let r = k + -28. Suppose r*n - 4/13*n**2 - 16/13*n**4 - 14/13*n**3 + 0 - 6/13*n**5 = 0. What is n?
-1, -2/3, 0
Let u = -29/2 - -89/6. Factor -i**2 - u + 1/3*i**3 + i.
(i - 1)**3/3
Suppose 10 = -2*d - 3*d. Let w = 1 - d. Suppose 2*i**w - 2*i**4 + 5*i**4 - 2*i - 6*i**2 + 4 - 3 + 2*i**2 = 0. What is i?
-1, 1/3, 1
Let l(a) be the second derivative of -a**5/20 - a**4/12 + a**3/6 + a**2/2 - 116*a. Let l(r) = 0. What is r?
-1, 1
What is u in 0 + 8*u**4 + 64/7*u**2 + 5/7*u**5 + 9/7*u + 106/7*u**3 = 0?
-9, -1, -1/5, 0
Let d(a) = 5*a - 1. Let m be d(3). Suppose -m = -2*v - u + 11, 0 = -4*u - 20. Factor -v*h**2 + 45*h**2 - 27*h + h**3 - 3*h**3 - 7*h**3 + 6.
-3*(h - 2)*(h - 1)*(3*h - 1)
Find u such that -1/2*u**2 + 5/2*u + 7 = 0.
-2, 7
Solve 647/4*u**2 - 36 - 102*u - 99/4*u**3 + u**4 = 0 for u.
-1/4, 1, 12
Let d(b) be the first derivative of -16*b**5/5 + 28*b**4 + 4*b**3 - 40*b**2 - 28*b - 31. Find m such that d(m) = 0.
-1/2, 1, 7
Factor -2/3*x**2 - 1/6*x**4 + 48 + 28*x - 5/3*x**3.
-(x - 4)*(x + 2)*(x + 6)**2/6
Let d be 1358/72 - 135/1215. Solve 3/2*u**4 - 15/2*u**2 - d*u**3 + 15*u + 15/4*u**5 + 6 = 0.
-2, -1, -2/5, 1, 2
Let j(s) = 70*s**2 - 655*s - 1165. Let i(n) = -11*n**2 + 109*n + 194. Let w(h) = -25*i(h) - 4*j(h). Factor w(a).
-5*(a + 2)*(a + 19)
Suppose 0*m - 5*m = 0. Suppose m = -n - n + 6. Factor 3 - f**2 + f**2 + 3*f - 3*f**2 - 3*f**n.
-3*(f - 1)*(f + 1)**2
Let b(l) be the first derivative of 4*l**3 - 3/4*l**4 + 32 - 9/2*l**2 + 0*l. Solve b(t) = 0 for t.
0, 1, 3
Let r(x) be the second derivative of 2*x**7/21 + 4*x**6/15 - 28*x**5/5 + 46*x**4/3 - 14*x**3 + 4*x + 5. Factor r(d).
4*d*(d - 3)*(d - 1)**2*(d + 7)
Let y(l) be the first derivative of -7*l**4/10 - 136*l**3/15 - 31*l**2 + 20*l - 57. Suppose y(x) = 0. Calculate x.
-5, 2/7
Let s = -1123 - -1123. Let c(m) be the second derivative of s - 1/24*m**4 + 1/6*m**3 + 0*m**2 + m - 1/40*m**5. Find l, given that c(l) = 0.
-2, 0, 1
Let k(y) be the first derivative of -y**6/66 - 3*y**5/11 - 65*y**4/44 - 15*y**3/11 + 135*y**2/11 + 432*y/11 - 18. Factor k(u).
-(u - 2)*(u + 3)**3*(u + 8)/11
Let n = -3026 + 3028. Factor 0*p**n - 1/4*p**3 + 1/4*p + 0.
-p*(p - 1)*(p + 1)/4
Let s(c) be the third derivative of 16*c**2 + 0*c + 0 + 1/12*c**3 + 1/240*c**6 - 1/420*c**7 + 7/96*c**4 