5.
-(i - 2)**2*(i + 1)**2*(i + 3)
Let t(z) = z**3 + 6*z**2 - 8*z - 4. Let h be t(-7). Let n = h - -1. Suppose -w + 2 + w - 4*w**2 - w**4 + 3*w**n = 0. What is w?
-1, 1
Suppose -27 - 73 = -h. Let p = -97 + h. Let 0 - 8/5*u**2 - 4/5*u - 4/5*u**p = 0. What is u?
-1, 0
Factor 165*a**2 + 4*a - 84*a**2 - a**3 - 73*a**2 - 32.
-(a - 8)*(a - 2)*(a + 2)
Let j = -4253/110 + 194/5. Let m(l) be the second derivative of 0*l**2 - 4*l + 0 + 2/33*l**3 + j*l**4. Factor m(h).
2*h*(9*h + 2)/11
Suppose 5*w = -5, -4*x + x + 11 = -2*w. Suppose x*f - 16 = -f. Factor 11*a**2 + 8*a**4 - 11*a**2 - 5*a**5 - f*a**3 + a**5.
-4*a**3*(a - 1)**2
Let s(b) be the first derivative of -3 - 2*b - 3*b**2 + 2/3*b**3 + 3/2*b**4. Factor s(p).
2*(p - 1)*(p + 1)*(3*p + 1)
Suppose -20 = 3*u - 5, 3*u + 7 = -4*f. Factor 6 + 6/5*w**f - 36/5*w.
6*(w - 5)*(w - 1)/5
Let h(a) be the second derivative of a**5/80 - 5*a**4/2 + 1159*a**3/8 + 3721*a**2/4 - 489*a. Factor h(w).
(w - 61)**2*(w + 2)/4
Factor -25/2 - 1/2*j**3 + 1/2*j + 25/2*j**2.
-(j - 25)*(j - 1)*(j + 1)/2
Factor 1/8*o - 3/8*o**3 + 1/8*o**2 + 0 - 5/8*o**4 - 1/4*o**5.
-o*(o + 1)**3*(2*o - 1)/8
Let o(n) be the second derivative of 23/5*n**5 + 0*n**2 + 2/3*n**4 + 57/5*n**6 + 135/14*n**7 + 0*n**3 + 2*n + 18. Factor o(j).
j**2*(5*j + 2)*(9*j + 2)**2
Factor 0 + 8/7*c**2 - 1/7*c**3 - c.
-c*(c - 7)*(c - 1)/7
Suppose 0 = -29*v + 130 - 43. Let r(i) be the third derivative of -5*i**2 + 0*i + 0*i**v - 1/32*i**4 - 1/80*i**5 + 0. Factor r(h).
-3*h*(h + 1)/4
Let m(q) = -3*q**5 + 6*q**4 + 3*q**3 - 39*q**2 + 51*q - 21. Let h(x) = 3*x**5 - 8*x**4 - 2*x**3 + 40*x**2 - 51*x + 20. Let p(a) = 3*h(a) + 2*m(a). Factor p(y).
3*(y - 3)*(y - 1)**3*(y + 2)
Let b(a) be the second derivative of -a**5/50 - a**4/30 + 2*a**3/15 + 129*a. Factor b(v).
-2*v*(v - 1)*(v + 2)/5
Let t(r) be the first derivative of -5*r**6/12 + 5*r**5 + 2. Factor t(k).
-5*k**4*(k - 10)/2
Let y be ((-2)/(-5))/((-5)/(-50)). Factor -9*a**3 + 3*a**3 - y*a**2 + 19*a - 5*a - 4.
-2*(a - 1)*(a + 2)*(3*a - 1)
Let i be 4/6 + (-4)/(-3). Let f be -15*2/(-20)*4. Factor 0*o - 18*o**4 + 16*o**4 - f*o**i + 2*o + 6*o**3.
-2*o*(o - 1)**3
Suppose 10*t - 7*t - 9 = -3*o, 2*o = -t + 6. Let c be -9*(0 - (-2)/(-3)). Find k such that -9*k - k**2 + 0*k + 3*k**o + k**2 - c = 0.
-1, 2
Suppose -6*k - 52 = 32. Let h = k + 72/5. Suppose -h*z**5 + 4/5*z + 6/5*z**3 - 2/5*z**4 + 0 + 2*z**2 = 0. Calculate z.
-1, 0, 2
Let k be 63/(-6) - (-2 - 13). Factor k - 15/4*c + 3/4*c**2.
3*(c - 3)*(c - 2)/4
Suppose -5*n - 253 = 37. Let r = -54 - n. Factor -3/2*u + 0*u**2 + 0*u**r + 3*u**3 - 3/2*u**5 + 0.
-3*u*(u - 1)**2*(u + 1)**2/2
Let d(h) = 5*h**2 - 27*h - 14. Let i be d(6). Let b = 34 - 31. Factor 2/3*z**b + 0 + 0*z - z**i + 1/3*z**5 + 0*z**2.
z**3*(z - 2)*(z - 1)/3
Let f(s) be the third derivative of 11*s**7/140 - 51*s**6/80 + 83*s**5/40 - 57*s**4/16 + 7*s**3/2 + 4*s**2 - 97. Determine a, given that f(a) = 0.
7/11, 1, 2
Let t = 5968/5 + -1200. Let l = t - -133/20. Determine z so that -5/4*z**3 + z**4 - l*z**5 + 0 + 0*z + 1/2*z**2 = 0.
0, 1, 2
Let j(d) be the second derivative of 3*d**7/28 + 7*d**6/20 - 121*d**5/20 + 57*d**4/4 - 151*d**3/12 + 21*d**2/4 - 14*d + 2. Solve j(r) = 0.
-7, 1/3, 1, 3
Let m(q) = -q**2 - 9*q - 2. Let c be m(-8). What is s in -c*s**2 - s**2 - 5*s + 2*s**2 = 0?
-1, 0
Let r(b) be the second derivative of 5*b**2 + 2*b**3 - 7*b + 1/6*b**4 + 0. Find p, given that r(p) = 0.
-5, -1
Let z be 1 + 6/(-21) + (-64)/168. Let f(k) be the second derivative of z*k**3 + 2*k + 0 + 0*k**2 - 1/12*k**4. Factor f(h).
-h*(h - 2)
Let y(j) be the third derivative of -j**6/1080 + j**5/270 + j**4/216 - j**3/27 - 7*j**2 - 1. Solve y(m) = 0 for m.
-1, 1, 2
Let d(s) = 3*s**4 + 32*s**3 + 35*s**2 - 112*s + 75. Let p(g) = g**4 + 8*g**3 + 9*g**2 - 28*g + 19. Let q(w) = 6*d(w) - 22*p(w). Suppose q(y) = 0. What is y?
-2, 1, 4
Let b(g) be the second derivative of -10*g**7/21 - 3*g**6/2 - 3*g**5/2 - 5*g**4/12 - 77*g. Factor b(l).
-5*l**2*(l + 1)**2*(4*l + 1)
Factor -16/7*v + 40/7*v**2 + 12*v**3 + 8/7*v**5 + 0 + 46/7*v**4.
2*v*(v + 2)**3*(4*v - 1)/7
Let w = 617/70 - 43/5. Let s = w - -1/28. Factor -1/2 + 1/4*o + s*o**2.
(o - 1)*(o + 2)/4
Suppose -2*s = -3*r - 4, -s + 7 = 40*r - 39*r. Determine f, given that -r*f**4 - 2/3*f**5 + 0*f - 4/3*f**3 + 0*f**2 + 0 = 0.
-2, -1, 0
Let m(g) be the third derivative of -g**6/30 + 2*g**5 - 32*g**4 - 1024*g**3/3 + 210*g**2. Find f, given that m(f) = 0.
-2, 16
Factor -4*l**2 - 3/2*l**3 - 2 + 15/2*l.
-(l - 1)*(l + 4)*(3*l - 1)/2
Let u(x) = x**2 + 5*x - 1. Let w be u(1). Let q(o) be the second derivative of 0 - 1/3*o**2 - 1/30*o**w + 1/9*o**3 - 4*o + 1/18*o**4. Factor q(p).
-2*(p - 1)**2*(p + 1)/3
Let b(k) be the third derivative of k**7/10080 - k**6/180 + 2*k**5/15 - 7*k**4/8 - 16*k**2. Let a(m) be the second derivative of b(m). Factor a(l).
(l - 8)**2/4
Let v be 1 - -1 - (8 - 0). Let x = v - -9. Find c, given that c**4 - 3*c**2 + c**x + 3*c**2 = 0.
-1, 0
Let k be -1*((-16)/(-56) - (-37)/(-7)). Factor 39/2*x**4 - 3/2*x - 45/2*x**3 - 6*x**k + 0 + 21/2*x**2.
-3*x*(x - 1)**3*(4*x - 1)/2
Factor -195*f + 390*f**2 + 126*f**3 - 26*f**3 - 92 + 5*f**4 - 905*f + 697.
5*(f - 1)**2*(f + 11)**2
Solve -5*b**2 - 3*b**3 + 26/5 - 1/5*b**4 + 3*b = 0 for b.
-13, -2, -1, 1
Let p be 3/(-2)*14/(-3). Let v(c) = -2*c + 2*c**4 - 3*c**5 + 2*c**4 - 3*c + c. Let o(y) = 5*y**5 - 7*y**4 + 7*y. Let z(s) = p*v(s) + 4*o(s). Solve z(m) = 0.
0
Let m(f) be the second derivative of f**7/525 - f**6/300 - f**2/2 - 12*f. Let z(t) be the first derivative of m(t). Solve z(n) = 0.
0, 1
Let d = 11245 + -11243. Solve -7/2*a + 3 + 1/2*a**d = 0.
1, 6
Let m(h) be the second derivative of -h**6/10 - 3*h**5/4 - 3*h**4/4 + 5*h**3/2 + 6*h**2 - 243*h. Determine o so that m(o) = 0.
-4, -1, 1
Let w(i) be the first derivative of -2*i**4 - 8*i**2 + 0*i - 28/3*i**3 + 8 + 4/5*i**5. Find c such that w(c) = 0.
-1, 0, 4
Let 48 + 93/2*r - 3/2*r**2 = 0. What is r?
-1, 32
Let x(g) be the third derivative of g**8/336 + 17*g**7/210 + 103*g**6/120 + 89*g**5/20 + 12*g**4 + 18*g**3 - 2*g**2 + 58. What is a in x(a) = 0?
-6, -3, -1
Factor -2/5*a**2 + 76/5 - 34/5*a.
-2*(a - 2)*(a + 19)/5
Let w(a) be the first derivative of -a**4/3 - 2*a**3 - 4*a**2 + 6*a - 12. Let m(t) be the first derivative of w(t). Factor m(i).
-4*(i + 1)*(i + 2)
Let v(c) = 6*c**4 - 26*c**3 - 8*c**2 + 26*c. Let w(u) = -u**4 + u**3 + 2*u**2 - u. Let h(y) = -v(y) - 2*w(y). What is r in h(r) = 0?
-1, 0, 1, 6
Let g(i) be the third derivative of -73*i**5/20 - i**4/12 - 10*i**2 + 4. Suppose g(v) = 0. What is v?
-2/219, 0
Let l = 119 + -114. Suppose l*q = 4*q + 2. Determine o so that 0 - 1/4*o + 1/4*o**3 - 1/4*o**4 + 1/4*o**q = 0.
-1, 0, 1
Let i(n) be the first derivative of n**6/21 - 2*n**5/5 + 3*n**4/7 + 8*n**3/3 - 40*n**2/7 - 282. Let i(r) = 0. What is r?
-2, 0, 2, 5
Determine u, given that 210*u + 71*u**2 - 67*u**2 + 6084 + 102*u = 0.
-39
Let x(t) be the first derivative of -2*t**2 + 21*t + 7. Let i be x(4). What is f in 0*f**3 - 2/7*f**i + 4/7*f**4 + 0 + 2/7*f - 4/7*f**2 = 0?
-1, 0, 1
Suppose 4*v = -3*v + 63. Let c be ((-3)/5)/3*(-30)/v. Factor 4/9 + 10/9*u + c*u**2.
2*(u + 1)*(3*u + 2)/9
Let u = 29 - 34. Let l be (-1)/(-3) - u/15. Find o, given that -4/3*o + 2/3 + l*o**2 = 0.
1
Find g such that -21/8*g + 1/8*g**2 - 11/4 = 0.
-1, 22
Factor -1/4*r**4 + 1/2*r**3 + 5/4 + 3*r**2 + 7/2*r.
-(r - 5)*(r + 1)**3/4
Factor -6962/7*b - 118/7*b**2 - 2/21*b**3 - 410758/21.
-2*(b + 59)**3/21
Let l = -1035 - -1040. Suppose -15/2*v**4 + 0*v + 0*v**2 + 5/4*v**3 - 35/4*v**l + 0 = 0. Calculate v.
-1, 0, 1/7
Let o(b) be the third derivative of 0 + 0*b**4 + 1/80*b**6 - 1/60*b**5 - 1/420*b**7 - 7*b**2 + 0*b**3 + 0*b. Find w, given that o(w) = 0.
0, 1, 2
Let v(m) = m**3 + 10*m**2 + 13*m + 10. Let f be v(-9). Let r = f + 30. Determine l, given that 27*l - 24*l - 3*l**2 + r - 4 = 0.
0, 1
Let r(t) be the third derivative of t**8/1512 - t**6/270 + t**4/108 + t**2 + 259. Suppose r(d) = 0. Calculate d.
-1, 0, 1
Let j(s) be the second derivative of s**4/84 - s**3/21 - 4*s**2/7 - 7*s + 7. Find d such that j(d) = 0.
-2, 4
Let a(y) be the second derivative of y**5/160 - 59*y**4/96 + 115*y**3/48 - 57*y**2/16 + 812*y. Factor a(u).
(u - 57)*(u - 1)**2/8
Suppose -362 + 269 = -31*g. What is l in -2*l**5 + 12/7*l**2 + 0*l + 0 + 34/7*l**g - 32/7*l**4 = 0?
-