**5 - 1/6*v**3 + 1/3*v**4 + 0 + 1/15*v**6. Determine c so that h(c) = 0.
0, 1/2, 1
Let a(r) be the third derivative of 1/8*r**4 - 2/3*r**3 + r**2 + r + 1/60*r**5 + 0. Let a(y) = 0. What is y?
-4, 1
Let n be (6/(-4))/((-48)/320). Suppose 0 = -4*v + 3*c - 7*c + 20, 0 = -2*v + c + n. Factor 15/7*f**4 + 0 + 0*f - 3/7*f**2 - 9/7*f**v - 3/7*f**3.
-3*f**2*(f - 1)**2*(3*f + 1)/7
Let g(n) be the third derivative of -2/3*n**4 + 0*n**3 + 4/15*n**5 + 30*n**2 + 0 + 0*n - 1/30*n**6. Factor g(w).
-4*w*(w - 2)**2
Let l(k) be the third derivative of -k**5/60 + 5*k**4/24 - 2*k**3/3 + 4*k**2. Let b be l(4). Let 0*p + 0*p**2 + 0 - 2/13*p**4 + b*p**3 = 0. Calculate p.
0
Let b be (-210)/(-49) + (-2)/7. Factor -3*d**4 - 3*d**3 - 8*d**3 - 3*d - b*d**2 - 5*d**2 + 2*d**3.
-3*d*(d + 1)**3
Let y(k) = k**2 + 5*k - 4. Let j be y(-6). Factor 0*w**2 - 10*w - 16*w**2 + w**j - 5*w**3.
-5*w*(w + 1)*(w + 2)
Suppose -5*l + 8 = -7. Determine p so that -51*p - p**3 - 3*p**l + 51*p = 0.
0
Determine y, given that -4*y + 44 + 8 - 13 - 15*y**2 - 19*y - y**3 = 0.
-13, -3, 1
Let t(p) be the first derivative of 2 + 0*p**4 + 1/12*p**6 + 0*p**2 - 3/10*p**5 + 0*p + 2/3*p**3. Find f, given that t(f) = 0.
-1, 0, 2
Suppose 0 = 4*r - 69 + 29. Suppose g = 14 - r. Determine l, given that 36*l**2 - 4 - 17*l**4 + 20*l - 20*l**3 - 11*l**4 - g = 0.
-1, 2/7, 1
Let d(l) be the second derivative of -3/14*l**2 + 0 - 1/35*l**5 + 5/28*l**4 + 44*l - 4/21*l**3. Factor d(m).
-(m - 3)*(m - 1)*(4*m + 1)/7
Let s = -57 + 55. Let i(y) = 4*y**2 - 2*y. Let b(h) = 5*h**2 - 3*h + 1. Let m(l) = s*b(l) + 3*i(l). Factor m(x).
2*(x - 1)*(x + 1)
Suppose -4*p = -d - 2 - 7, p = -2*d + 9. Suppose -v - v + 2 = 4*u, -v - 7 = -2*u. Determine r, given that 5/3*r**p + 5 - 5/3*r - 5*r**u = 0.
-1, 1, 3
Suppose -10*l - 25 = -15*l. Factor 4*d**4 + 9*d + 4*d**2 - l*d**3 - 11*d**2 - 7*d.
d*(d - 2)*(d + 1)*(4*d - 1)
Let m(t) be the second derivative of 1/12*t**4 - 39*t + 0*t**2 - t**3 + 0. Factor m(q).
q*(q - 6)
Suppose 3*y + 4*v = 18, 638*v - 637*v = 5*y - 7. Suppose -2/3*w**3 + y + 2/3*w - 2*w**2 = 0. Calculate w.
-3, -1, 1
Suppose 25*b - 28*b - 15 = -3*n, 3*n = -b - 5. Factor 2/3*c**2 + n + 2/3*c.
2*c*(c + 1)/3
Suppose 291 + 53 = 172*f. Factor 20/7*j + 0 + 4/7*j**f.
4*j*(j + 5)/7
Suppose -4*j + 2*y + 16 = 0, -2*y - 6 = -22*j + 23*j. Suppose 3/5*h**3 - 9/5*h + 0*h**j - 6/5 = 0. What is h?
-1, 2
Let s(o) be the second derivative of -o**5/12 - 25*o**4/36 + 20*o**3/3 - 109*o. Factor s(c).
-5*c*(c - 3)*(c + 8)/3
Let y(f) = 4*f**2 - 3*f. Let r be y(-3). Suppose 14 - 21*j**3 - 4*j**3 - 20*j**2 + 80*j**2 - 4 - r*j = 0. What is j?
2/5, 1
Let d = 212/45 + -19/90. Factor 3/4*i**3 - 33/4*i - d - 3*i**2.
3*(i - 6)*(i + 1)**2/4
Let f(q) be the third derivative of -q**7/5040 - q**6/720 + q**5/80 - q**4/24 - 12*q**2. Let z(o) be the second derivative of f(o). Factor z(l).
-(l - 1)*(l + 3)/2
Determine x, given that -16/3 - 2/3*x**4 - 2/3*x**3 + 4*x**2 + 8/3*x = 0.
-2, 1, 2
Let v(c) be the third derivative of -7*c**5/225 + c**4/180 + 4*c**3/45 + c**2 - 3. Factor v(j).
-2*(2*j + 1)*(7*j - 4)/15
Let q(u) be the first derivative of -2*u**5/55 + 5*u**4/22 + 28*u**3/33 + 397. Factor q(b).
-2*b**2*(b - 7)*(b + 2)/11
Suppose -4*r + 6*r - 6 = 0. Let 2/7*b**r + 2/7 + 6/7*b**2 + 6/7*b = 0. Calculate b.
-1
Suppose 8 = -4*s - 40. Let u(i) = -i**2 - 11*i + 17. Let c be u(s). Factor 3*k**c - 12*k**4 - 7*k**2 + 10*k + 18*k**3 + k - 5*k**2 - 8*k.
3*k*(k - 1)**4
Suppose -63*u - 127 = -11 - 242. Determine g so that 2/3*g - 2/3*g**3 + 1/2*g**u + 1/6*g**4 - 2/3 = 0.
-1, 1, 2
Let b(i) be the third derivative of 0*i**3 + 0*i + 2/735*i**7 + 1/210*i**6 - i**2 + 3 - 1/42*i**4 - 1/105*i**5. Let b(v) = 0. Calculate v.
-1, 0, 1
Factor 14/5*i**2 + 192/5*i - 56/5.
2*(i + 14)*(7*i - 2)/5
Let o(r) be the third derivative of r**7/840 - r**6/160 - r**5/60 + r**4/8 - 46*r**2 + 2. Factor o(d).
d*(d - 3)*(d - 2)*(d + 2)/4
Let i(y) be the third derivative of 11*y**2 + 0 + 0*y**3 - 1/56*y**8 + 0*y - 1/80*y**6 + 0*y**4 + 1/28*y**7 + 0*y**5. Suppose i(n) = 0. What is n?
0, 1/4, 1
Let b(r) be the third derivative of 1/6*r**4 - 1/12*r**8 + 4/3*r**3 + 0 - 16/15*r**5 - 17/15*r**6 - 52/105*r**7 + 10*r**2 + 0*r. Suppose b(z) = 0. Calculate z.
-1, 2/7
Let u(n) be the second derivative of n**7/21 + 4*n**6/15 - 11*n**5/10 + n**4 + 79*n. Find d, given that u(d) = 0.
-6, 0, 1
Let d = 499 + -497. Factor -16/3*b + 6*b**3 - 8/3 + d*b**2.
2*(b - 1)*(3*b + 2)**2/3
Suppose 104*d**4 - 311*d**4 + 101*d**4 - 32*d**2 + 104*d**4 + 16*d**3 = 0. Calculate d.
0, 4
Suppose 4*l - 12 = 3*o, -l + o - 4 = 2*o. Let v(g) be the second derivative of 0*g**3 - 6*g - 1/30*g**6 - 1/10*g**5 + 0*g**2 + l + 1/4*g**4. Factor v(r).
-r**2*(r - 1)*(r + 3)
What is s in 36 + 3/5*s**2 - 57/5*s = 0?
4, 15
Suppose 0 = -4*g - 4*g + 24. Suppose 2*z + g*n - 5 = -2*z, -5*z + 12 = -2*n. Factor -2/5*o**4 + 0*o - 2/5*o**z + 0 - 4/5*o**3.
-2*o**2*(o + 1)**2/5
Let 149*z**2 - 15*z - 2 + 6*z**4 + z**3 - 592*z**2 + 148*z**2 + 136*z**2 + 141*z**2 = 0. What is z?
-1, -1/6, 2
Let x(u) be the third derivative of -u**7/1260 + u**6/90 + 13*u**5/180 - 7*u**4/6 - 49*u**3/4 - 19*u**2 - 2. Solve x(z) = 0 for z.
-3, 7
Let i(p) be the third derivative of p**6/80 + 11*p**5/20 + 35*p**4/4 + 50*p**3 - 12*p**2 + 15*p. Find s such that i(s) = 0.
-10, -2
Let x = -1/1896 - -1267/5688. Factor 0 - 2/9*h**4 + x*h**2 - 2/9*h + 2/9*h**3.
-2*h*(h - 1)**2*(h + 1)/9
Suppose 5*n + 6 - 4 = 4*i, -3*n - 6 = -4*i. Factor -2/3*f**n + 2/3*f + 4/3.
-2*(f - 2)*(f + 1)/3
Solve -26/7*g + 10/7*g**4 - 4/7 + 38/7*g**3 - 12/7*g**5 - 6/7*g**2 = 0.
-1, -1/6, 1, 2
Let z(q) be the second derivative of -q**7/735 + q**6/280 - q**4/168 + 7*q**2 - 11*q. Let c(r) be the first derivative of z(r). Factor c(t).
-t*(t - 1)**2*(2*t + 1)/7
Solve 5/11*d**5 - 2*d**4 - 23/11*d + 16/11*d**2 + 18/11*d**3 + 6/11 = 0.
-1, 2/5, 1, 3
Let g(a) be the first derivative of -39 + 2/15*a**3 - 26/5*a**2 + 338/5*a. Factor g(u).
2*(u - 13)**2/5
Let z(m) be the third derivative of 27*m**2 + 0 + 25/24*m**4 + 25/48*m**5 + 0*m + 5/6*m**3. Factor z(c).
5*(5*c + 2)**2/4
Suppose 1 = 3*f + 4*t, 38*t = -2*f + 42*t + 14. Solve 0*i**f + 3/5*i**4 - 6/5*i**2 + 3/5 + 0*i = 0 for i.
-1, 1
Let x(l) be the first derivative of 15 + 2/17*l + 1/34*l**4 - 2/51*l**3 - 1/17*l**2. Factor x(f).
2*(f - 1)**2*(f + 1)/17
Let g(f) = 4*f**4 + 7*f**3 - 5*f**2 - 9*f - 3. Let j(z) = -3*z**4 - 5*z**3 + 6*z**2 + 10*z + 2. Let t(n) = -2*g(n) - 3*j(n). Solve t(r) = 0 for r.
-2, 0, 3
Suppose -18 = -5*j + 22. Let v = -4 + j. Suppose 21*s**2 + 5*s**3 + 5*s**4 - 22*s**2 - 12*s**v + 3*s**5 = 0. What is s?
0, 1/3, 1
Let p = 1069 - 1065. Let y(c) be the second derivative of 0 - c**2 + 1/6*c**3 - 11*c + 1/12*c**p. Let y(n) = 0. Calculate n.
-2, 1
Let 0*q + 0 + 2/5*q**3 - 2/5*q**5 + 0*q**4 + 0*q**2 = 0. Calculate q.
-1, 0, 1
Let s(g) be the second derivative of 1/4*g**4 + g - 7*g**3 - 45/2*g**2 + 3. Determine v so that s(v) = 0.
-1, 15
Let g = -4/1223 - -4928/11007. Factor -g*j + 2/9 + 2/9*j**2.
2*(j - 1)**2/9
Let w(i) be the second derivative of -i**7/126 + 29*i**6/45 - 1081*i**5/60 + 1415*i**4/9 + 7400*i**3/9 + 4000*i**2/3 - 152*i. Factor w(o).
-(o - 20)**3*(o + 1)**2/3
Let a(z) be the first derivative of z**7/490 + 3*z**6/140 + 9*z**5/140 + z**4/14 + z**2/2 - 4*z + 58. Let j(x) be the second derivative of a(x). Factor j(d).
3*d*(d + 1)**2*(d + 4)/7
Let f = 347/777 - 2/111. Let l(p) be the first derivative of 2/21*p**3 + 2/35*p**5 - f*p**2 - 4/7*p + 3/14*p**4 + 1. Factor l(s).
2*(s - 1)*(s + 1)**2*(s + 2)/7
Let b(q) be the third derivative of -q**6/90 + 148*q**5/45 + 299*q**4/18 + 100*q**3/3 + 4*q**2 - 8*q. Let b(t) = 0. What is t?
-1, 150
Let r(l) = l**3 - 3*l**2 + 2*l - 3. Let p = 0 - -3. Let g be r(p). Factor -2 - 8*m**2 - 1 - 1 + 2*m**g + 8*m + 2*m.
2*(m - 2)*(m - 1)**2
Let u = 121 - 845/7. Factor 2/7*i**2 + u*i - 4/7.
2*(i - 1)*(i + 2)/7
Let f(y) be the second derivative of -11*y - 2/55*y**5 + 2/33*y**4 + 0*y**2 + 0*y**3 + 0 + 1/165*y**6. Factor f(a).
2*a**2*(a - 2)**2/11
Suppose -2*w + 3 = d, 5*w + 11 = d + 36. Suppose j = -0 + w. Determine h so that 2*h**4 + 6*h**2 - 16*h**3 - 2*h + 22*h**3 + j*h = 0.
-1, 0
Let z = 24 - -8. Factor 8*u**2 - 21*u**2 + 9*u**2 - 3*u + 27*u - z.
-4*(u - 4)*(u - 2)
Let l be 1 - (((-6)/(-2))/(150/400))/14. Factor 18/7*s + l + 27/7*