z) be the third derivative of z**7/1260 - z**6/1440 - z**5/80 + 11*z**4/24 - 23*z**2. Let x(g) be the second derivative of b(g). Factor x(p).
(p - 1)*(4*p + 3)/2
Let h(f) = -112*f**2 - 154*f - 64. Let i(n) = 7*n + 7*n**2 + 9 + 10*n**2 + 15*n - n**2. Let b(t) = 6*h(t) + 44*i(t). Determine r, given that b(r) = 0.
-1, -3/8
Factor 22 - 48*h**2 + 12*h**2 + 20*h**2 - 9*h + 15*h**2.
-(h - 2)*(h + 11)
Let w(d) be the third derivative of 0 + 0*d**3 + 0*d**5 - 1/80*d**6 - 4*d**2 + 1/12*d**4 + 0*d - 1/420*d**7. Solve w(n) = 0.
-2, 0, 1
Let v = 2998 + -11991/4. What is g in v*g**5 - 7/4*g**4 + 13/4*g - 11/2*g**2 + 9/2*g**3 - 3/4 = 0?
1, 3
Let h(j) be the second derivative of -2*j**7/3 + 2*j**6/3 + 16*j**5/5 + 4*j**4/3 + 13*j - 2. Suppose h(w) = 0. Calculate w.
-1, -2/7, 0, 2
Suppose 0 = 4*f + f + 3*m - 181, -5*f + 185 = 5*m. Let k = 73/2 - f. Factor -9/2*z - 9/2*z**2 - 3/2 - k*z**3.
-3*(z + 1)**3/2
Solve 0 - 3/2*o - 3/2*o**2 = 0.
-1, 0
Let 40*b**3 - 5*b**4 - 65*b - 7*b**4 - 55*b**2 + 60 + 7*b**4 + 25*b**3 = 0. What is b?
-1, 1, 12
Let u be 192/19 + -8 - 2. Suppose 0 + u*y**2 + 0*y = 0. What is y?
0
Let u(y) be the first derivative of y**8/84 + 2*y**7/21 + 3*y**6/10 + 7*y**5/15 + y**4/3 + 6*y**2 - 19. Let h(c) be the second derivative of u(c). Factor h(s).
4*s*(s + 1)**3*(s + 2)
Solve -24/5 - 2/5*j**3 - 28/5*j**2 - 10*j = 0.
-12, -1
Let k = 44 + -20. Let n be (8/(-30))/(k/(-40)). Factor 0*o**2 + n*o - 4/9*o**3 - 2/9*o**4 + 2/9.
-2*(o - 1)*(o + 1)**3/9
Suppose -g + 3 + 27 = 5*v, 0 = 2*g - 4*v - 32. Suppose g + 25 = 15*y. Factor y*o**2 + 3/2*o + 3/2*o**3 + 0.
3*o*(o + 1)**2/2
Let f(g) be the third derivative of g**8/16800 + g**7/3150 + 17*g**4/24 + 18*g**2. Let l(v) be the second derivative of f(v). Find t, given that l(t) = 0.
-2, 0
Let g(m) be the second derivative of m**4/36 + 5*m**3/9 + 3*m**2/2 + 2*m + 28. Let g(i) = 0. What is i?
-9, -1
Let v(y) = y + 1. Let i be v(2). Factor -321 - 12*m**i - 4*m**2 + 8*m + 321.
-4*m*(m + 1)*(3*m - 2)
Let n(d) be the first derivative of d**6/3 - 6*d**5 + 13*d**4 + 4*d**3/3 - 27*d**2 + 26*d + 368. Factor n(c).
2*(c - 13)*(c - 1)**3*(c + 1)
Let o = -28871 - -202099/7. Factor -10/7*j + 4/7 + o*j**3 - 2/7*j**4 + 6/7*j**2.
-2*(j - 1)**3*(j + 2)/7
Let u = -263/35 - -54/7. Let x(n) be the second derivative of 1/6*n**3 - 6*n + 0 - 1/15*n**4 - u*n**2 + 1/100*n**5. Suppose x(t) = 0. What is t?
1, 2
Let c = 429 + -2948/7. Let m = 66/7 - c. What is j in -m*j**2 + 13/7*j - 2/7 = 0?
2/11, 1
Let w(n) be the third derivative of n**5/270 - 23*n**4/54 + 529*n**3/27 - 2*n**2 - 9. Suppose w(t) = 0. What is t?
23
Let f(d) = -27*d**4 + 486*d**3 - 5796*d**2 + 5307*d + 15. Let z(y) = 7*y**4 - 121*y**3 + 1449*y**2 - 1327*y - 4. Let x(h) = 4*f(h) + 15*z(h). Factor x(l).
-3*l*(l - 21)**2*(l - 1)
Let k = 211/224 + -19/224. Determine g, given that 0 - 8/7*g**3 - k*g**2 + 2/7*g = 0.
-1, 0, 1/4
Let r(s) be the third derivative of -1/120*s**6 + 0*s + 0*s**5 + 0 + 0*s**3 + 1/420*s**7 + 33*s**2 + 0*s**4. Determine t, given that r(t) = 0.
0, 2
Let q be 3/45*-3*(-5)/3. Let m(s) be the first derivative of -q*s**4 + 12 - 32/9*s**3 - 32/3*s**2 + 0*s. Factor m(v).
-4*v*(v + 4)**2/3
Suppose -32*x - 858 = -34*x. Factor -x*q + 24*q**4 - 20*q**3 + 429*q - 4*q**5.
-4*q**3*(q - 5)*(q - 1)
Solve -72/7*x**3 + 0*x**4 - 192/7*x**2 + 0 - 144/7*x + 3/7*x**5 = 0.
-2, 0, 6
Let k be (-147)/1440 - 8/(-60). Let i = 81/32 - k. Factor 1/4*w**2 + i*w + 25/4.
(w + 5)**2/4
Let p be (-43 - -37)*(-1)/11. Factor -6/11 + p*u**2 - 4/11*u + 4/11*u**3.
2*(u - 1)*(u + 1)*(2*u + 3)/11
Let j = 13 - 13. Let g = 3 + j. Factor -5*n**2 + 8*n + 2*n**4 - n**3 + 21*n**2 + 11*n**g.
2*n*(n + 1)*(n + 2)**2
Let z(k) = -10*k + 110. Let l be z(11). What is i in -6/11*i + 2/11*i**3 + l*i**2 - 4/11 = 0?
-1, 2
Let u(i) be the first derivative of -i**9/1008 + 3*i**8/560 - i**6/30 + 19*i**3/3 - 26. Let t(x) be the third derivative of u(x). Factor t(y).
-3*y**2*(y - 2)**2*(y + 1)
Let z be 8 + -4 + 6/4. Let v = 7 - z. Factor -1/2*s + v*s**3 + 0 + 0*s**2 + s**4.
s*(s + 1)**2*(2*s - 1)/2
Let i(j) = j**2 - 24*j - 25. Let t be i(25). Let n(d) be the first derivative of 25/3*d**6 + 12*d**4 + 18*d**5 + t*d + 0*d**2 + 8/3*d**3 + 3. Factor n(p).
2*p**2*(p + 1)*(5*p + 2)**2
Let i(b) be the first derivative of -b**6/9 - 2*b**5/15 + 4*b**4/3 + 8*b**3/3 + 74. Factor i(l).
-2*l**2*(l - 3)*(l + 2)**2/3
Let t(l) = 14*l - 50. Let p(i) = i + 1. Let a(w) = -18*p(w) + 2*t(w). Let s be a(12). Find m such that -m - 2/3 - 1/3*m**s = 0.
-2, -1
Suppose -11*t = -9*t - 8. Suppose 2*a - 30 = -x + 14, -a = 3*x - 157. Find l such that -24*l**2 + 7*l**5 - x*l**t - 9*l + 17*l**3 + 8*l**5 + 6 + 49*l**3 = 0.
-2/5, 1
Let q = 113 + -49. Find x, given that -12*x + 24 + 142*x**3 - 30*x**3 - 60*x**2 - q*x = 0.
-3/4, 2/7, 1
Let r(k) be the first derivative of 4*k**3/3 - 50*k**2 + 217. Factor r(a).
4*a*(a - 25)
Factor 0*o**3 - 3*o**3 - 8197*o**2 + 8104*o**2.
-3*o**2*(o + 31)
Factor -196/3*a - 2401/3*a**2 - 4/3.
-(49*a + 2)**2/3
Let n be ((-6)/126)/(1/29). Let a = -1/21 - n. Factor -2/3 + a*l**2 + 7/3*l.
(l + 2)*(4*l - 1)/3
Let f be (26/4)/(3/(2 - 14)). Let l = f - -28. Factor 9/5 + 3/5*p**l + 12/5*p.
3*(p + 1)*(p + 3)/5
Suppose 13*f = 6*f + 126. Suppose -4*v + f = 2*v. Factor 4 + 7/2*z**4 - 19/2*z**v - 3*z**2 + 14*z.
(z - 2)**2*(z + 1)*(7*z + 2)/2
Let t(b) be the third derivative of 5/168*b**8 + 0 + 10*b**2 + 0*b - 5/24*b**6 + 1/14*b**7 - 15/8*b**4 - 5/3*b**3 - 13/12*b**5. Factor t(g).
5*(g - 2)*(g + 1)**3*(2*g + 1)
Let q = -67 + 69. Suppose 0*t**q + 27 - 13*t + 31*t + 3*t**2 = 0. Calculate t.
-3
Suppose -14 = 3*w + 2*m + 12, -16 = 3*w + 4*m. Let x be 15/w*28/(-7). Determine g so that -g**3 + g**4 + 0 + 1/3*g**2 + 0*g - 1/3*g**x = 0.
0, 1
What is o in -24*o + 32/3*o**2 - 2/3*o**3 - 96 = 0?
-2, 6, 12
Let c be -2*3*(-10)/10. Determine x, given that 3*x**5 + 22*x**2 + 3*x**3 - 3*x**2 - 9*x**4 - 10*x**2 - c*x = 0.
-1, 0, 1, 2
Let i = 17/12 + -3/4. Solve 0*r**2 + i*r**4 + 4/3*r - 4/3*r**3 - 2/3 = 0 for r.
-1, 1
Let i(u) = -4*u + 14. Let b be i(3). Factor 5*c**3 - 6*c**3 - 3*c**2 + 8*c**2 - b*c**2 - 2*c.
-c*(c - 2)*(c - 1)
Let c be (-1)/(-6) + 2/(-12). Suppose 4*n - n = c. Factor -17 + n*z - 15*z**2 + 36*z + 5.
-3*(z - 2)*(5*z - 2)
Let k be -3 + 4 - (1 - 3). Factor -2*i**4 + 2*i**k + 2*i**3 + 32*i**2 - 2*i**4 - 48*i.
-4*i*(i - 2)**2*(i + 3)
Let n = -218 - -1093/5. Find w, given that -1/5*w**3 + 0 + n*w**2 + 0*w = 0.
0, 3
Solve -1/3*d**3 - 3*d - 22/3 + 4*d**2 = 0.
-1, 2, 11
Let r(p) be the first derivative of 1/5*p**5 + 2*p + 2 + 3*p**3 + 7/2*p**2 + 5/4*p**4. Factor r(n).
(n + 1)**3*(n + 2)
What is t in 9/2*t**2 + 0 + 27/8*t**3 + 3/4*t**4 + 3/2*t = 0?
-2, -1/2, 0
Let d(g) be the first derivative of g**6/72 - g**5/24 - 5*g**4/12 + 13*g**3/3 + 14. Let o(i) be the third derivative of d(i). Factor o(c).
5*(c - 2)*(c + 1)
Let s(d) = 36*d**2 - 96*d + 38. Let g(m) = -180*m**2 + 482*m - 189. Let j(y) = 2*g(y) + 11*s(y). Find u such that j(u) = 0.
5/9, 2
Let c = 1936/9 - 215. Let n(u) be the first derivative of 0*u**5 + 3 + 0*u + 0*u**3 - c*u**6 - 1/3*u**2 + 1/3*u**4. Factor n(i).
-2*i*(i - 1)**2*(i + 1)**2/3
Suppose 9*h + 8 + 10 = 0. Let y(d) = 2*d**2 + 5*d + 4. Let x be y(h). Determine q, given that 1/4*q**3 + 0*q + 1 - 3/4*q**x = 0.
-1, 2
Let c(h) be the second derivative of 3*h**5/140 - h**4/7 + 2*h**3/7 + 2*h - 22. Factor c(m).
3*m*(m - 2)**2/7
Let p(z) = -z**3 + 6. Let y be p(0). Determine h, given that -4*h**2 - 4*h + 2*h**3 - 4*h**2 + 0*h**2 + y*h**2 = 0.
-1, 0, 2
Suppose 1 = 2*a + 2*p - 1, 0 = -2*a + 2*p + 10. Let w be ((3/(-2))/a)/(-1). Factor 0 + w*f - 3/2*f**3 + f**2.
-f*(f - 1)*(3*f + 1)/2
Suppose 4*c = -2*j + 8, 5*c + 2*j - 10 = -j. Factor -6*b**4 - b**3 + 16*b**4 + c*b - b - 11*b**4 + b**2.
-b*(b - 1)*(b + 1)**2
Let x(h) be the third derivative of h**5/20 + 3*h**4/8 + h**3 + 94*h**2. Solve x(v) = 0.
-2, -1
Let l(z) be the first derivative of 75*z**4/8 - 95*z**3/6 + 147*z**2/16 - 9*z/4 - 133. Solve l(y) = 0 for y.
3/10, 2/3
Let o = 15986/36009 + 2/4001. Factor o*k - 2/3 + 2/9*k**2.
2*(k - 1)*(k + 3)/9
Suppose -5*l + 4 + 5 = -4*t, 3*t = -3. Let a be ((-9)/(-15))/(l/5). Solve 0*h**5 - 4*h - 2*h**4 + 4*h**4 - 4*h**2 + 3*h**a - h**5 = 0 for h.
-1, 0, 2
Let w = -23 + 29. Factor -w*x**3 + 12 - 129*x**2 + 120*x**2 + 3*x**3.
-3*(x - 1)*(x + 2)**2
Let f(