(s) be the third derivative of -s**8/112 + 4*s**7/35 - 23*s**6/40 + 7*s**5/5 - 3*s**4/2 + 73*s**2. Find q such that o(q) = 0.
0, 1, 2, 3
Suppose 3*d + 0*g - 17 = -g, 12 = 4*d - 4*g. Factor -d*y**5 + 3*y + 3*y**5 + 6*y**3 - 2*y**4 + y + 10*y**2.
-2*y*(y - 2)*(y + 1)**3
Let t(d) be the first derivative of -22/7*d**2 + 4/3*d**3 - 1/7*d**4 + 20/7*d + 29. Factor t(l).
-4*(l - 5)*(l - 1)**2/7
Let d(a) be the first derivative of -16*a**2 - a**4 + 16*a + 20/3*a**3 + 11. Suppose d(k) = 0. Calculate k.
1, 2
Let g be 1045/285 - 15/9. Let u(v) be the first derivative of -1/15*v**g - 4/75*v**5 + 0*v**4 + 11 + 1/45*v**6 + 4/45*v**3 + 0*v. Let u(o) = 0. What is o?
-1, 0, 1
Let o(t) = t**2 + 14*t + 39. Let v be o(-12). Let q be ((-30)/325)/((-9)/v). What is r in 6/13*r**2 + 0 - q*r + 2/13*r**4 - 6/13*r**3 = 0?
0, 1
Let j be 5 + -2 - (0 + -7). Suppose 10*c - 5*c = j. Factor q**3 + c - 1 - q + 4*q**2 - 5*q**2.
(q - 1)**2*(q + 1)
Let m be (-1)/3 + ((-6808)/(-1326) - 7). Let i = 40/17 + m. Let 0*l - i*l**2 + 2/13 = 0. What is l?
-1, 1
Suppose 10*p - 30 = 5*p. Let a be (2 + (-2 - -1))*p. Let -4*t + 2*t - 3*t**2 + a*t + t**2 - 2 = 0. Calculate t.
1
Suppose 3*w - 22/3 + 1/3*w**2 = 0. What is w?
-11, 2
Let y(b) be the second derivative of 0*b**2 + 5*b + 0 + 0*b**5 + 1/165*b**6 + 0*b**3 + 0*b**4. Factor y(f).
2*f**4/11
Factor 0 - 12/11*r**2 - 10/11*r - 2/11*r**3.
-2*r*(r + 1)*(r + 5)/11
Find h, given that -24/7*h - 16/7*h**3 + 0 - 38/7*h**2 - 2/7*h**4 = 0.
-4, -3, -1, 0
Let y(h) = 4*h**4 + 8*h**3 + 5*h**2 - 8*h + 1. Let d(w) = 2*w**4 + 4*w**3 + 3*w**2 - 4*w + 1. Let o(t) = 5*d(t) - 3*y(t). Factor o(i).
-2*(i - 1)*(i + 1)**3
Let t(s) be the third derivative of s**5/140 + 9*s**4/28 + 17*s**3/14 + 5*s**2 - 3*s. Factor t(q).
3*(q + 1)*(q + 17)/7
Let q = 185/2 + -813/14. Let p = -34 + q. Suppose 1/7*f**3 + 2/7*f**2 + 0 - p*f = 0. Calculate f.
-3, 0, 1
Let s(b) = -5*b**2 + 23*b - 52. Let x(a) = 16*a**2 - 67*a + 155. Let h(n) = 7*s(n) + 2*x(n). Factor h(t).
-3*(t - 6)*(t - 3)
Let o(j) be the second derivative of j**7/1680 - j**6/240 + 7*j**4/12 - 11*j. Let m(w) be the third derivative of o(w). Factor m(t).
3*t*(t - 2)/2
Let p = 45/337 + 65535/1348. Let w = p - 48. Let 15/4*m + w - 27/4*m**3 + 9/4*m**2 = 0. What is m?
-1/3, 1
Suppose 0 = -191*t + 184*t + 28. Let g(a) be the third derivative of -2/75*a**5 + 1/120*a**6 + 0*a**3 + 0 - 1/30*a**t + 0*a + 13*a**2. Factor g(d).
d*(d - 2)*(5*d + 2)/5
Suppose -1/3*g + 1/3*g**2 + 1/3*g**3 - 1/3 = 0. What is g?
-1, 1
Let z(u) be the first derivative of u**6/12 + 3*u**5/10 - 2*u**3/3 + 270. Factor z(v).
v**2*(v - 1)*(v + 2)**2/2
Let w(n) be the first derivative of 0*n**2 + 5*n - 1/18*n**4 + 1/18*n**3 - 7 + 1/60*n**5. Let u(l) be the first derivative of w(l). Let u(d) = 0. What is d?
0, 1
Suppose -25*p = -22*p - 12. Let z(w) be the second derivative of 3/80*w**5 - w - 1/6*w**p + 1/4*w**2 + 0 + 1/8*w**3. Factor z(f).
(f - 2)*(f - 1)*(3*f + 1)/4
Let b(o) be the first derivative of o**5/140 - 3*o**4/56 + 13*o**2/2 - 1. Let f(k) be the second derivative of b(k). Factor f(d).
3*d*(d - 3)/7
Let z be (3 - (-68)/(-22))*990/(-54). Let g be (-4)/6*(-3 - 0). Factor z + 5/3*r**g - 10/3*r.
5*(r - 1)**2/3
Let k be 14/(-5)*(-19)/2. Let b = k + -26. Factor 6/5 - 3/5*g**3 - 6/5*g**2 + b*g.
-3*(g - 1)*(g + 1)*(g + 2)/5
Find x, given that 51 + 46 + x - 11*x**2 - 97 = 0.
0, 1/11
Let j(b) be the third derivative of b**5/48 - 9*b**4/32 + 7*b**3/6 + 447*b**2. Factor j(s).
(s - 4)*(5*s - 7)/4
Let y(v) be the third derivative of -9*v**7/70 + 21*v**6/20 - 17*v**5/5 + 17*v**4/3 - 16*v**3/3 - v**2 + 134*v. Determine o so that y(o) = 0.
2/3, 4/3, 2
Let b(g) = -184*g + 102. Let a(q) = -q**2 + 2*q. Let k(j) = 10*a(j) + b(j). Factor k(x).
-2*(x + 17)*(5*x - 3)
Let j(q) = 2*q**2 - 35*q + 13. Let t be j(17). Let m(k) = k. Let l(n) = 25*n**2 - 49*n - 10. Let y(p) = t*m(p) - l(p). Find z such that y(z) = 0.
-1/5, 2
Factor 4/15*b**2 + 12/5 - 14/5*b + 2/15*b**3.
2*(b - 3)*(b - 1)*(b + 6)/15
Let d = 4 - 2. Let f be 3/4 + (-39)/(-12). Factor 5*o**4 - 6*o**4 - o**d + 2*o**f.
o**2*(o - 1)*(o + 1)
Let v(z) = 1246*z + 8724. Let c be v(-7). Factor 1 + 3/4*g**c - 1/8*g**3 - 3/2*g.
-(g - 2)**3/8
Let f be 2/(8 + 0 + 21/(-3)). Factor -4/5*m**3 - 1/5*m**4 - 1/5 - 6/5*m**f - 4/5*m.
-(m + 1)**4/5
Let h = 2361 - 4721/2. Let u(v) be the first derivative of -8/7*v - 9 + 20/7*v**2 + h*v**4 - 46/21*v**3. Factor u(z).
2*(z - 2)*(z - 1)*(7*z - 2)/7
Factor 91/4*f**2 + 15/2*f + 21/2*f**3 + 5/4*f**4 + 0.
f*(f + 3)*(f + 5)*(5*f + 2)/4
Let h = 56 + -44. Factor -3*c**3 - 4*c + 12*c + h*c**2 - 17*c.
-3*c*(c - 3)*(c - 1)
Let d be 9622/2210 + (-2)/13 + -4. Factor -3/10*n**3 + 0*n**2 + 0 - d*n**4 + 1/10*n**5 + 0*n.
n**3*(n - 3)*(n + 1)/10
Suppose 2*x + 2*l = x - 3, -x = -3*l + 18. Let b be (x + 11)*2/2. Find y such that -4*y**3 + 24*y**4 + 10*y**3 - 16*y**b - 8*y - 6*y**4 = 0.
-2/3, 0, 1
Let 42/5*t + 2/5*t**2 - 44/5 = 0. Calculate t.
-22, 1
Let c = 0 + -11. Let q = -7 - c. Factor 12*i**3 + 6*i**q + i**4 - 3*i**4 - 16*i**3 - 6*i**2 + 3*i**5 + 2 + i.
(i - 1)*(i + 1)**3*(3*i - 2)
Let b(x) = -15*x**3 + x**2 + x + 1. Let w be b(-1). Factor -2*s**4 - w*s**2 + 2*s**3 - 21*s**2 + 56*s**2 - 15*s**2.
-2*s**2*(s - 2)*(s + 1)
Let o(x) be the second derivative of -x**7/210 + x**5/25 + x**4/30 - x**3/10 - x**2/5 + 84*x. Solve o(w) = 0 for w.
-1, 1, 2
Let u(w) be the first derivative of -1/4*w**4 + 0*w - 2/15*w**5 + 0*w**2 - 10 - 1/9*w**3. Factor u(x).
-x**2*(x + 1)*(2*x + 1)/3
Factor 195*h - 5*h**2 + h**2 + 3 + h**4 - 197*h + 2*h**3.
(h - 1)**2*(h + 1)*(h + 3)
Let h(g) be the first derivative of 15 - 4*g**2 - 9*g + 1/3*g**3. Factor h(r).
(r - 9)*(r + 1)
Let r be ((-1)/3 - (-26)/18)/(72/54). Solve -r - y - 1/6*y**2 = 0.
-5, -1
Let t = -12731/51 + 4272/17. What is x in -20/3 - 65/3*x**2 - t*x**4 - 10*x**3 - 20*x = 0?
-2, -1
Let f(c) = 6*c**2 - 45*c - 21. Let w be f(8). Let d(h) be the second derivative of 0*h**w + 0 + 1/54*h**4 - 1/90*h**5 + 0*h**2 - 7*h. Find g such that d(g) = 0.
0, 1
Suppose 20 = 46*a - 42*a. Let o be a - -51*(-6)/72. Let 3 - 3*w + o*w**2 = 0. Calculate w.
2
Let w = 8020 + -8017. Determine c so that -125/4*c**2 - 95/4*c**w - 5/4*c**5 - 5 - 20*c - 35/4*c**4 = 0.
-2, -1
Find r, given that -1/4*r + 1/4*r**2 - 1/2 = 0.
-1, 2
Let u(t) be the third derivative of t**7/210 - 7*t**6/40 + t**5/3 + 126*t**2. Suppose u(j) = 0. What is j?
0, 1, 20
Let s(l) be the first derivative of -l**6/480 + l**5/40 - 5*l**4/96 - 15*l**2/2 + 30. Let k(v) be the second derivative of s(v). Factor k(j).
-j*(j - 5)*(j - 1)/4
Let z(g) = -10*g**2 - 12*g - 20. Let r(t) = 10*t**2 + 13*t + 18. Let v(c) = -6*r(c) - 5*z(c). Suppose v(y) = 0. What is y?
-1, -4/5
Let n = 4787 - 4784. Factor -64/3 + 4*z**2 + 2/3*z**n + 0*z.
2*(z - 2)*(z + 4)**2/3
Let v(m) be the second derivative of m**4/54 - 16*m**3/27 + 5*m**2/3 + 6*m + 33. Factor v(f).
2*(f - 15)*(f - 1)/9
Let r(t) be the second derivative of t**5/20 + 41*t**4/12 + 220*t**3/3 + 200*t**2 + 353*t. Factor r(q).
(q + 1)*(q + 20)**2
Let i be ((-68)/(-8))/(-8 - 72/(-8)) + -8. Factor 18*j + i*j**5 + 13/2*j**3 + 0 - 30*j**2 + 5*j**4.
j*(j - 1)**2*(j + 6)**2/2
Factor -36*d**2 + 6*d**3 + 3/4*d**4 - 192*d + 768.
3*(d - 4)**2*(d + 8)**2/4
Determine x, given that 1 - 22*x - x**2 - 2 + 1 - 4 + 17*x = 0.
-4, -1
Let u(r) = r**4 + r**3 - r. Let x(l) = l + 15. Let g be x(-14). Let k(f) = 26*f**4 + 32*f**3 - 48*f**2 - 11*f. Let d(y) = g*k(y) + u(y). Solve d(v) = 0.
-2, -2/9, 0, 1
Let l be (-5 + -1)*33/(-198)*4. Factor 4*v**2 + 2/3 + 2/3*v**l + 8/3*v + 8/3*v**3.
2*(v + 1)**4/3
Factor -14/3 - 6*n**2 - 10*n - 2/3*n**3.
-2*(n + 1)**2*(n + 7)/3
Let c be ((-2 - -4)*(-9)/24)/((-18)/120). Find q, given that -2/3*q**4 - 1/3*q**3 + 0 + 2/3*q**2 + 1/3*q**c + 0*q = 0.
-1, 0, 1, 2
Let q(h) = -12*h + 54. Let g be q(4). Let f(l) be the second derivative of 2/5*l**g + 0 - 2/21*l**7 + 0*l**5 - 8*l + 0*l**2 - 4/3*l**4 + 0*l**3. Factor f(z).
-4*z**2*(z - 2)**2*(z + 1)
Let j be (1 + 0)/((-392)/(-1176)). Determine v so that -2/3*v**4 + 4/3*v + 0*v**2 + 2/3 - 4/3*v**j = 0.
-1, 1
Let p be ((75/100)/((-2)/(-4)))/((-108)/(-48)). Suppose -10/3*u**4 - 2*u**5 + 4/3*u**3 + 4*u**2 + 2/3*u - p = 0. Calculate u.
-1, 1/3, 1
Let w be (8121/(-756) - (-6)/(-21)) + -3. Let j = 57/4 + w. Find d, given that -2/3*d - 4/9 + j*d**3 + 0*d**2 = 0