*c. Factor w(i).
-2*i*(i - 1)**2*(i + 1)
Let -16/5*i**2 + 36/5 + 18*i = 0. What is i?
-3/8, 6
Let b(f) = -f**3 + 4*f**2 + 7*f - 10. Let z(a) = 5*a**2. Let p be z(1). Let o be b(p). Factor 0 - 1/3*h**4 + 2/3*h**2 + o*h - 1/3*h**3.
-h**2*(h - 1)*(h + 2)/3
Let n(p) be the first derivative of 0*p + 1/140*p**5 + 0*p**3 + 4*p**2 - 11 + 0*p**4 - 1/840*p**6. Let y(s) be the second derivative of n(s). Factor y(x).
-x**2*(x - 3)/7
Let q = -1022 + 1024. Let b(h) be the third derivative of -1/60*h**5 - 1/8*h**4 - 1/3*h**3 + 0 + 10*h**q + 0*h. Factor b(z).
-(z + 1)*(z + 2)
Factor 160/17*b + 96/17*b**2 + 24/17*b**3 + 96/17 + 2/17*b**4.
2*(b + 2)**3*(b + 6)/17
Let q(u) = 14 + 7*u**2 - 17 - 10 - 5*u**3. Let g(b) = -b**3 + b**2 - 2. Let t(f) = 39*g(f) - 6*q(f). Factor t(l).
-3*l**2*(3*l + 1)
Let z(o) be the second derivative of 5*o**7/42 - o**6/6 - o**5 + 5*o**4/3 + 41*o. Factor z(x).
5*x**2*(x - 2)*(x - 1)*(x + 2)
Let c(y) = y**2 - 2*y - 1. Let o(a) = -a**2 + 5*a. Let x(r) = -2*c(r) - o(r). Let x(s) = 0. What is s?
-2, 1
Let 66*z**2 - 576*z + 12*z**2 - 5*z**3 + 343 + 521 + 2*z**3 = 0. Calculate z.
2, 12
Suppose 5*a - 10 = 4*z, 2*z = -3*z. Factor -8*o**3 - a*o**3 + 7*o**4 + 5*o**5 + 4*o**4 - 6*o**4.
5*o**3*(o - 1)*(o + 2)
Suppose -2/7*u**5 - 12/7*u**2 + 0*u + 8/7*u**4 + 0 - 2/7*u**3 = 0. What is u?
-1, 0, 2, 3
Suppose -12*f = 10*f - 4*f. Let s(g) be the third derivative of 0 + f*g - 1/24*g**3 - 5*g**2 - 1/240*g**5 + 1/48*g**4. Factor s(j).
-(j - 1)**2/4
Let l(g) be the second derivative of g**7/280 + g**6/15 + 13*g**5/40 + 3*g**4/4 + g**3 - 39*g. Let j(r) be the second derivative of l(r). Solve j(s) = 0 for s.
-6, -1
Let r(q) = -7*q**2 - 537*q + 706. Let d be r(-78). Suppose 18/7*f**3 + 2*f**d + 0 - 24/7*f**2 - 8/7*f = 0. What is f?
-2, -2/7, 0, 1
Suppose h**3 - 1/3*h**4 + 2/3*h**2 + 8/3 - 4*h = 0. Calculate h.
-2, 1, 2
Suppose 0 = 14*w - 12*w - 10. Let a(f) be the third derivative of 0*f + 0 + 0*f**3 + 2*f**2 - 1/12*f**4 + 0*f**w + 1/60*f**6. Factor a(r).
2*r*(r - 1)*(r + 1)
Let f = -11/3 - -25/6. Factor -1/2*w**3 + 0 - f*w - w**2.
-w*(w + 1)**2/2
Let i = -5228 + 5230. Factor 2/9*o**i + 0*o + 0.
2*o**2/9
Suppose -5*s = -22 - 58. Factor -17*r + 14*r - 17*r + 4*r**2 + 0*r**2 + s.
4*(r - 4)*(r - 1)
Let j(s) = s - 1. Let m(t) = 2*t**2 + 10*t + 60. Let i(l) = l**3 + 10*l**2 - l + 10. Let u be i(-10). Let z(y) = u*j(y) + 2*m(y). Factor z(g).
4*(g + 5)**2
Let s(i) be the second derivative of 0*i**4 + 13*i + 1/4*i**5 + 0*i**2 + 0*i**3 + 1/3*i**6 + 0. Factor s(f).
5*f**3*(2*f + 1)
Let v(c) be the first derivative of 2*c**5/15 + 4*c**4/3 + 16*c**3/3 + 32*c**2/3 + 32*c/3 + 144. Factor v(w).
2*(w + 2)**4/3
Find k, given that 5*k**3 + 0*k**3 + 4*k**2 - 2*k**2 - k - 6*k**3 = 0.
0, 1
Let w(l) = 6*l**3 - 2*l**2 + 1. Let c be w(1). Suppose 0 = 2*g - g - 4*o + 14, -c*g + 2 = -2*o. Factor 0*b**g + b**2 - 2*b**3 + 2*b**5 - 2*b**2 + 2*b**4 - b**2.
2*b**2*(b - 1)*(b + 1)**2
Let v(g) be the first derivative of g**2 + 1/72*g**6 + 1/8*g**4 + 0*g + 1/15*g**5 + 1/9*g**3 + 2. Let c(s) be the second derivative of v(s). Factor c(d).
(d + 1)**2*(5*d + 2)/3
Factor 12*h + 2/5*h**2 - 128/5.
2*(h - 2)*(h + 32)/5
Let a(o) = 2*o**2 - o + 2. Suppose 36*n - 35*n - 2 = 0. Let q be a(n). Factor -8*y**3 - 4*y**4 + q*y + 3 - 2 + 3.
-4*(y - 1)*(y + 1)**3
Factor -11*z**2 + 31*z**2 - 17*z + z - 10*z**2 + 24 - 8*z**2.
2*(z - 6)*(z - 2)
Let j(i) be the first derivative of -6*i**4 + 0*i + 28/3*i**3 - 6 - 2*i**2. Solve j(g) = 0 for g.
0, 1/6, 1
Suppose 36 = -77*n + 95*n. Factor 0*h - 8/5*h**n + 16/5*h**3 + 0 + 2*h**4.
2*h**2*(h + 2)*(5*h - 2)/5
Let p(i) = 35*i + 318. Let j be p(-9). Let n(g) be the first derivative of 2/3*g**2 - 1/9*g**j - 4/3*g + 8. Factor n(l).
-(l - 2)**2/3
Suppose 3*u - 40 = -5*f + u, 4*u - 8 = -f. Suppose f*j - 7*j - 13*j = 0. Find d, given that 1/5*d**4 + 0*d + 0*d**2 + 1/5*d**5 + j - 2/5*d**3 = 0.
-2, 0, 1
Let o(p) = -p**3 + 13*p**2 - 13*p + 12. Let n be o(12). Suppose -2*h - 3*h = n. Solve 8*q + 2*q - 12 + 7 + h + 15*q**2 = 0 for q.
-1, 1/3
Let l(a) be the third derivative of a**6/420 + a**5/210 - a**4/42 + 3*a**2 + 15. Factor l(i).
2*i*(i - 1)*(i + 2)/7
Let 1/3*o**4 + 5/3*o**2 + 5/3*o - 2 - 5/3*o**3 = 0. Calculate o.
-1, 1, 2, 3
Let q(l) = -7*l**3 + 4*l**2 + 12*l - 14. Let y(d) = -7*d**3 + 3*d**2 + 12*d - 16. Let h(i) = 6*q(i) - 5*y(i). Factor h(p).
-(p - 2)*(p + 1)*(7*p - 2)
Let y = -5548/13 - -11135/26. Factor 0 - y*h**3 + 1/6*h + 0*h**2.
-h*(3*h - 1)*(3*h + 1)/6
Let c be ((-2)/4)/((-3)/84). Let -7 + 5*v**2 - 10*v**2 + c - 2 = 0. What is v?
-1, 1
Let o(q) be the second derivative of -7*q**4/3 + 6*q**3 - 4*q**2 + 92*q. Find x such that o(x) = 0.
2/7, 1
Let y(o) = o**4 - o**3 + o**2 - o - 1. Let d(v) = -4*v**4 - 5*v**3 - 42*v**2 + 63*v - 1. Let n(g) = -4*d(g) - 44*y(g). Find c such that n(c) = 0.
-2, 2/7, 1, 3
Let j(x) be the second derivative of 25*x**7/84 - 19*x**6/12 + 57*x**5/20 - 13*x**4/6 + 2*x**3/3 - 284*x. Suppose j(y) = 0. Calculate y.
0, 2/5, 1, 2
Let -4/7*z**3 - 2/7 + 4/7*z**4 - 1/7*z**5 + 5/7*z - 2/7*z**2 = 0. Calculate z.
-1, 1, 2
Let c be 30/4*63/45*2. Suppose -d - c = -23. Solve 4/11*x**3 - 6/11*x + 4/11*x**d + 2/11 + 2/11*x**5 - 6/11*x**4 = 0 for x.
-1, 1
Suppose -5*j + 10 = -2*n, 3*j + 5*n - 6 = -0. Suppose -j*y + 1 = -5. Find k, given that -3/2 - 9/2*k - y*k**2 = 0.
-1, -1/2
Let y be (-34)/12 - (-17)/153*30. Determine p so that 2*p**2 + y*p**3 + 0 + 3/2*p = 0.
-3, -1, 0
Let t = -27441/4 - -6861. Factor 15/8*s + 3/8*s**2 - 3/4*s**3 + t.
-3*(s - 2)*(s + 1)*(2*s + 1)/8
Let h(m) = 7*m**3 - 2*m + 1. Let t be h(1). Suppose t*f + 0 = 12. Find y, given that 89*y + 75*y**2 - 29*y + f + 10 = 0.
-2/5
Let x(p) = p**2 - p + 1. Let i(h) = -4*h**2 + 5*h + 5. Let a(o) = i(o) + 3*x(o). Factor a(r).
-(r - 4)*(r + 2)
Let w(x) be the third derivative of -x**5/210 + 5*x**4/42 + 11*x**3/21 + 3*x**2 - 26*x. Let w(i) = 0. Calculate i.
-1, 11
Let z be (17/34)/(0 - 1/(-6)). Let f(p) be the first derivative of 0*p + 0*p**4 + 2/11*p**2 + 2/11*p**z - 1 - 2/55*p**5. Determine d, given that f(d) = 0.
-1, 0, 2
Let k = 159 + -149. Factor 19 + 23 - 34*z**2 + 10*z + k*z**3 + 22*z - 50.
2*(z - 2)*(z - 1)*(5*z - 2)
Let w(u) = u**2 + 10*u + 6. Let d be w(-9). Let i be 29 + 1 + (-4 - d). Factor 2*m**2 - 28*m + i*m - m**2.
m*(m + 1)
Let c(l) be the third derivative of 0*l**3 + 14*l**2 + 0 + 0*l**4 - 1/330*l**6 - 1/165*l**7 + 0*l + 0*l**5. Factor c(u).
-2*u**3*(7*u + 2)/11
Suppose 3*g = 5 + 16. Let k = 55 - 52. Factor 10*b**k - g*b**3 + b - b.
3*b**3
Suppose 18*j - 17*j + 5*z = -35, -4*j - 3*z = 4. Factor 0 - 2/7*l**j - 2/7*l**2 + 2/7*l**3 + 0*l + 2/7*l**4.
-2*l**2*(l - 1)**2*(l + 1)/7
Let o(c) be the second derivative of -8*c**2 + 28*c**3 + 0 + 239/10*c**5 - 45*c**4 + 12/5*c**6 - 27/7*c**7 + 42*c. Solve o(x) = 0 for x.
-2, 2/9, 1
Suppose -2*f + 66 = -6. Let d = f + -36. Determine g, given that d - 1/3*g**5 - 1/3*g + 2/3*g**3 + 0*g**4 + 0*g**2 = 0.
-1, 0, 1
Let x(c) be the first derivative of 1/3*c**3 + 1/6*c**6 - 1/5*c**5 - 1/4*c**4 + 0*c**2 + 9 + 0*c. Suppose x(r) = 0. Calculate r.
-1, 0, 1
Let t(s) be the third derivative of 2*s**7/105 + s**6/20 - s**5/30 - s**4/4 - s**3/3 - s**2 + 3*s. Factor t(o).
2*(o - 1)*(o + 1)**2*(2*o + 1)
Let q(d) = -d**2 + 97*d - 1092. Let a be q(13). Suppose -5/3*i**4 - 2/3*i - 4*i**3 - 3*i**2 + a = 0. Calculate i.
-1, -2/5, 0
Suppose 2*m - 30 = -2*h - 0*m, -5*m - 5 = 0. Suppose -5*r + 3*w + 91 = h, -4*r + 63 = -3*w. Factor -r*l**4 + 5*l**5 - 4*l**5 - 4*l**5 - 12*l**3.
-3*l**3*(l + 2)**2
Let f be (10/15)/2 + 37/(-3). Let s be ((-6)/f)/(30/84). Solve -1/5*h**5 + 0 + h**4 - s*h**3 + 3/5*h**2 + 0*h = 0.
0, 1, 3
Let k(l) be the third derivative of -l**10/4320 - l**9/6048 + l**8/576 + l**7/504 + 17*l**5/60 + 3*l**2. Let y(f) be the third derivative of k(f). Factor y(u).
-5*u*(u - 1)*(u + 1)*(7*u + 2)
Let a = 755/3594 - 26/599. Factor -1/3*w**3 + 1/3*w**2 - 1/6*w**4 + 1/6*w + a*w**5 - 1/6.
(w - 1)**3*(w + 1)**2/6
Factor 0*z**2 + 4/7*z**3 + 6/7*z**4 + 0 + 0*z - 4/7*z**5.
-2*z**3*(z - 2)*(2*z + 1)/7
Let n(s) be the third derivative of s**5/480 + 3*s**4/16 + 27*s**3/4 - 109*s**2. Factor n(w).
(w + 18)**2/8
Let s(r) be the third derivative of -r**8/140 - 27*r**7/350 + 7*r**6/200 + 89*r**2. Factor s(t).
-3*t**3*(t + 7)*(4*t - 1)/5
Let r = 111/12022 - 3155963/1322420. Let k = 1/44 -