 2/3*c**3 = 0.
-2, 0
Let h(a) be the second derivative of a**5/10 + a**4 - 19*a**3/3 - 24*a**2 + 380*a. Factor h(p).
2*(p - 3)*(p + 1)*(p + 8)
Let d(v) be the third derivative of -v**5/60 + 17*v**4/24 - 7*v**3 + 2*v**2. Let p be d(14). Factor 2*o**2 - 2/3*o**3 + p + 0*o.
-2*o**2*(o - 3)/3
Let c be (120/6)/4 - (-89)/(-14). Let u = c - -85/42. Factor 0 - 2*j - u*j**3 - 8/3*j**2.
-2*j*(j + 1)*(j + 3)/3
Let m(q) be the second derivative of q**4/24 - 7*q**3/12 - 9*q**2/2 - 10*q + 6. Suppose m(v) = 0. Calculate v.
-2, 9
Factor -3*d + 29 - 11 + 37 - 47*d - 5*d**2.
-5*(d - 1)*(d + 11)
Let g(w) = 8*w**3 - 11*w**2 + w + 11. Let z(x) = 14*x**3 - 23*x**2 + x + 23. Let c(b) = -5*g(b) + 3*z(b). Suppose c(j) = 0. What is j?
-1, 1, 7
Factor -914*f**3 + 380*f**3 + 70*f - 2945*f + 2*f**4 + 825*f**2 + 3750 + 3*f**4 + 429*f**3.
5*(f - 6)*(f - 5)**3
Suppose 2*l = -2*l - 2*t - 6, -3*l - 2*t - 6 = 0. Let g be l - (-3)/((-63)/(-6)). Factor 2/7*a - 4/7*a**4 - g*a**5 + 4/7*a**2 + 0*a**3 + 0.
-2*a*(a - 1)*(a + 1)**3/7
Let p(u) be the second derivative of 7*u**4/16 - 397*u**3/8 - 171*u**2/4 + 12*u - 7. Find s, given that p(s) = 0.
-2/7, 57
Let t(x) be the second derivative of x**6/75 + 47*x**5/50 + 115*x**4/6 + 529*x**3/15 + 3*x + 8. Factor t(g).
2*g*(g + 1)*(g + 23)**2/5
Let o(x) = -113*x - 1693. Let s be o(-15). Determine f, given that 2/5 - 4/5*f + 2/5*f**s = 0.
1
Let d(f) be the first derivative of f**6/9 + 4*f**5/15 - f**4/2 - 16*f**3/9 - 4*f**2/3 + 76. Suppose d(t) = 0. What is t?
-2, -1, 0, 2
Let m be 2 + (-77 + 2)/(-3) - 2. Factor 5*g**2 - m*g + 16 + 0 + 4.
5*(g - 4)*(g - 1)
Let h be (-178)/1602*((-10)/4 - -1). Determine n, given that 1/6*n**4 + h*n - 1/3*n**3 - 1/3*n**2 + 1/6 + 1/6*n**5 = 0.
-1, 1
Let y(w) = -18*w - 41. Let l be y(7). Let f = l + 343/2. Factor 0*k - 3/2*k**2 + 0 - f*k**3.
-3*k**2*(3*k + 1)/2
Factor -39*g - g**2 - 36 + 2*g**2 - 10*g**2 + 6*g**2.
-3*(g + 1)*(g + 12)
Suppose -5*r - 3*v = -21 - 6, 8 = 2*v. Factor 14*d**2 + 8*d + 3*d**r - 4*d**2 - d**3.
2*d*(d + 1)*(d + 4)
Determine m, given that -1/7*m**2 + 10/7*m - 1/7*m**3 - 8/7 = 0.
-4, 1, 2
Factor 2/7*k**4 + 96/7*k**2 - 40/7*k**3 + 0 + 1152/7*k.
2*k*(k - 12)**2*(k + 4)/7
Let k(q) = q**3 - 10*q**2 + 6*q + 27. Let g be k(9). Factor -4/3*x**4 + 0*x**2 + g*x**3 + 0*x - 4/3*x**5 + 0.
-4*x**4*(x + 1)/3
Let k be (-10 - 1251/(-126))*-16. Let -20/7*p**3 - 2*p**2 - 6/7*p**4 + 8/7*p + k = 0. What is p?
-2, -1, 2/3
Let h(m) be the second derivative of -m**5/5 + 98*m**4 - 19208*m**3 + 1882384*m**2 + 23*m + 4. Factor h(i).
-4*(i - 98)**3
Let c(r) = -6*r**2 - 6*r + 8. Let g(d) = 5*d**2 - 3*d**2 + 5 - 12 + 5*d**2 + 7*d. Let i(w) = -5*c(w) - 4*g(w). Factor i(s).
2*(s - 2)*(s + 3)
Let t be (4 + 312/(-80))/((-2)/(-5)). Let i = 5/18 - 1/36. Suppose -t*c + 0 + i*c**2 = 0. Calculate c.
0, 1
Let g = -4805 + 24029/5. Factor v + g*v**2 + 1/5*v**3 + 2/5.
(v + 1)**2*(v + 2)/5
Factor -7*w**3 - 446*w**2 + 551*w**2 - 5*w**4 + 425*w - 500 - 18*w**3.
-5*(w - 4)*(w - 1)*(w + 5)**2
Let t(s) be the third derivative of s**6/540 + s**5/27 - 11*s**4/108 + 14*s**2. Factor t(w).
2*w*(w - 1)*(w + 11)/9
Let i(w) be the third derivative of 63*w**6/220 - 96*w**5/55 - 149*w**4/44 - 26*w**3/11 + 10*w**2 - 2. Suppose i(o) = 0. Calculate o.
-1/3, 26/7
Let p(b) be the third derivative of -1/294*b**7 + 1/784*b**8 + 1/105*b**5 + 0*b**3 + 31*b**2 + 0*b - 1/210*b**6 + 0*b**4 + 0. Determine k so that p(k) = 0.
-1, 0, 2/3, 2
Let c(b) be the first derivative of -4*b**3/3 - 2*b**2 + 8*b + 73. Determine n so that c(n) = 0.
-2, 1
Let s be (-3 + 2)/(-2*(-10)/(-60)). Let b(r) be the second derivative of 2/15*r**s + 1/5*r**2 + 1/30*r**4 + 4*r + 0. Factor b(c).
2*(c + 1)**2/5
Suppose 7*b + 14 = 28. Let d = 84 - -51. Suppose 135*g - d - 43*g**b + 5*g**3 + 9*g**2 - 11*g**2 = 0. Calculate g.
3
Factor -2*h - 8*h**3 - 2/3*h**5 - 20/3*h**2 - 4*h**4 + 0.
-2*h*(h + 1)**3*(h + 3)/3
Find q, given that 20 - 11 + 2*q**5 + 4*q**4 + q**2 - 17*q**2 + 10*q - 12*q**3 + 3 = 0.
-3, -1, 1, 2
Suppose 0 + 3/2*i**4 + 21/2*i**3 + 0*i + 0*i**2 = 0. Calculate i.
-7, 0
Suppose -3*o = -4*d + 4, d + 12 = -3*d - o. Let p be 6/24*-6*d/1. What is i in -1/5 - 3/5*i**2 + 1/5*i**p + 3/5*i = 0?
1
Suppose -4 = 4*m, 5*m + 3 = -3*o + 16. Let -6*q + 9 - o*q + 6*q**3 - 12*q**2 + 3*q**4 + 6*q = 0. What is q?
-3, -1, 1
Let y(q) be the second derivative of q**7/1680 + q**6/180 + q**5/80 - 7*q**3/6 - 10*q. Let i(g) be the second derivative of y(g). Solve i(v) = 0.
-3, -1, 0
Let c(i) be the second derivative of i**6/165 + i**5/55 - i**4/22 - 4*i**3/33 + 4*i**2/11 + 66*i. Determine y so that c(y) = 0.
-2, 1
Let x be -2 + 6 + (-5)/5. Let o(l) be the first derivative of 6/5*l**2 - 8/5*l - 12/25*l**5 + 12/5*l**x - 7 + 1/5*l**4. Find z, given that o(z) = 0.
-1, 1/3, 2
Let r(q) be the third derivative of q**5/15 - q**4/3 - 23*q**2 + 2*q. Factor r(p).
4*p*(p - 2)
Let p(a) be the first derivative of -a**5/25 + 3*a**4/20 - a**3/15 - 3*a**2/10 + 2*a/5 - 76. Factor p(o).
-(o - 2)*(o - 1)**2*(o + 1)/5
Let k = 158 + -158. Suppose k*o = -2*p + 2*o - 4, 0 = 5*p - 2*o - 5. Factor -4/5*u**p - 108/5*u - 36/5*u**2 - 108/5.
-4*(u + 3)**3/5
Let u be (-15)/9 + 650/30. Suppose -20*g**4 + 5*g**3 - 5*g + 8859 - 8859 + u*g**2 = 0. What is g?
-1, 0, 1/4, 1
Let y(p) be the third derivative of -11*p**2 - 2/3*p**3 + 1/30*p**5 - 1/12*p**4 + 0 + 0*p. Factor y(d).
2*(d - 2)*(d + 1)
Suppose -1847 = -284*c + 1561. Factor 8*v**3 + c - 4/3*v**4 + 32*v**2 + 104/3*v.
-4*(v - 9)*(v + 1)**3/3
Let f(b) be the third derivative of b**7/105 - b**6/30 - 30*b**2. Find d such that f(d) = 0.
0, 2
Let z(u) = -2*u**2 - 17*u - 11. Let o be z(-8). Let v be 2*2*o/(-4). Let -1/2*g - 1/4*g**4 - 5/4*g**2 - g**v + 0 = 0. Calculate g.
-2, -1, 0
Let z(t) = 0*t**2 - 8*t**2 + 9*t + t - 3*t. Let f(q) = -4*q**2 + 4*q. Let j(b) = 9*f(b) - 4*z(b). Factor j(s).
-4*s*(s - 2)
Let o(w) be the third derivative of w**5/20 + 69*w**4/4 + 4761*w**3/2 - 289*w**2 + 1. Solve o(n) = 0.
-69
Let w(b) = 173*b. Let a be w(0). Let -2/9*t**2 + a + 4/9*t = 0. Calculate t.
0, 2
Let t be (-2)/6 + 39/9. Let o be (24/15)/(t/10). Factor -2*i + 2*i**3 - 3*i**2 + 2 + 5*i - 4*i**o - 9*i**3 + i**4.
-(i + 1)**3*(3*i - 2)
Let a(b) = -14*b**3 + 22*b**2 - 12*b - 1. Let i = 68 - 73. Let h(w) = w**4 - w**3 + w**2 - w + 1. Let y(q) = i*h(q) - a(q). Solve y(u) = 0.
4/5, 1
Let m = -61 - -108. Factor -h**3 - m*h**4 - h**3 + 8*h**3 + 4*h**2 + 49*h**4.
2*h**2*(h + 1)*(h + 2)
Let a(f) be the third derivative of 6*f**2 + 0 - 1/315*f**7 + 0*f - 1/15*f**5 + 1/9*f**4 + 1/45*f**6 - 1/9*f**3. Factor a(x).
-2*(x - 1)**4/3
Let q(h) = -h**2 - 13*h - 10. Let n be q(-12). Factor -63*s**2 - 8*s**3 + 67*s**n + 4*s**3.
-4*s**2*(s - 1)
Let y(q) be the first derivative of -q**5/5 - 15*q**4/4 - 61*q**3/3 - 21*q**2/2 + 98*q - 88. Suppose y(a) = 0. What is a?
-7, -2, 1
Let p(b) be the third derivative of 8/35*b**5 - 12*b**2 - 1/35*b**7 + 0*b - 1/7*b**4 + 0*b**3 - 1/28*b**6 + 0. Determine z, given that p(z) = 0.
-2, 0, 2/7, 1
Suppose 123/7 - 1/7*m**2 + 122/7*m = 0. Calculate m.
-1, 123
Let k(s) be the second derivative of -s**5/50 - s**4/10 + 4*s**3/15 - 57*s. Solve k(a) = 0.
-4, 0, 1
Let i(b) be the third derivative of b**5/690 - b**3/69 - 35*b**2 + 2*b. Determine r, given that i(r) = 0.
-1, 1
Let j(n) = -8*n + 4. Let l be j(-2). Let u be 57/20 - (-4)/l*-3. Suppose 9/4 - 3/4*c**3 - u*c**2 + 3/4*c = 0. Calculate c.
-3, -1, 1
Let d(t) = t**4 + 2*t**3 - 2*t**2. Let p(n) = 15*n**4 + 36*n**3 - 33*n**2. Let z(a) = 18*d(a) - p(a). Solve z(x) = 0 for x.
-1, 0, 1
Let s = -3784/3 + 1262. Factor 4/3*y**2 + 0 - 2/3*y - s*y**3.
-2*y*(y - 1)**2/3
Let s be 10/(-456) + 18/171. Let v = s - -31/12. Factor 10/3*l + 2/3*l**3 + 4/3 + v*l**2.
2*(l + 1)**2*(l + 2)/3
Let s(u) be the third derivative of -u**6/240 - 17*u**5/120 - 31*u**4/48 - 5*u**3/4 + 4*u**2 - 12*u. Factor s(h).
-(h + 1)**2*(h + 15)/2
Determine x, given that -29/2*x - 1/2*x**2 + 0 = 0.
-29, 0
Let c(k) be the first derivative of -4*k**3 - 2*k**2 + 8*k - 79. Find d, given that c(d) = 0.
-1, 2/3
Factor 45 - 3/2*g**2 + 21/2*g.
-3*(g - 10)*(g + 3)/2
Let z be (-213)/639 + (-1)/(-1). Let 2/15*k**5 + 4/3*k**2 + 2/15*k - 4/15*k**3 - z - 2/3*k**4 = 0. Calculate k.
-1, 1, 5
Let o(n) be the first derivative of -7*n**4/10 - 3188*n**3/15 - 90516*n**2/5 + 51984*n/5 - 760. Suppose o(y) = 0. Cal