 33*j**4/4 - 3*j - 11. Let p(i) be the third derivative of c(i). Factor p(g).
-3*(g - 1)**2*(g + 1)/2
Let j(u) be the second derivative of 5*u**4/48 - 395*u**3/24 - 615*u**2/4 - 1384*u. Let j(t) = 0. What is t?
-3, 82
Solve -49159 + 2172*k**5 - 340816*k + 153960*k**3 - 618560*k**3 - 685444*k**2 - 7485 - 2204*k**5 - 7664*k**4 = 0.
-119, -1/2
Factor -168*c - 256 + c**2 - 5*c**2 + 48 - 73 - 459.
-4*(c + 5)*(c + 37)
Let y(u) be the first derivative of 0*u**2 + 111 - 1/6*u**3 - 1/2*u**4 - 3/10*u**5 + 0*u. Let y(p) = 0. What is p?
-1, -1/3, 0
Suppose 2 = g - 8. Factor g*q - 22*q + 41*q**2 - 42*q**2.
-q*(q + 12)
Let g = -95871 - -671119/7. Factor -g + 24/7*s - 2/7*s**2.
-2*(s - 11)*(s - 1)/7
Let r(k) be the first derivative of k**7/525 - k**5/150 + 6*k**2 + 82. Let i(l) be the second derivative of r(l). Let i(o) = 0. What is o?
-1, 0, 1
Let a be (-21362)/226490 + 2/29. Let l = 629/3195 - a. Find d, given that l*d + 2/9*d**2 - 4/9 = 0.
-2, 1
Factor 27*u + 0 + 107/2*u**2 - u**3.
-u*(u - 54)*(2*u + 1)/2
Suppose 0 = 525*s - 494*s + 310. Let u be -6 - s - (-18)/(-5). Factor -u*m**3 - 12/5*m + 2*m**2 + 0.
-2*m*(m - 3)*(m - 2)/5
Let v(y) be the first derivative of 5/4*y**4 - 35/3*y**3 + 0*y + 214 + 15*y**2. Find k such that v(k) = 0.
0, 1, 6
Let a(i) be the second derivative of -i**6/90 - 7*i**5/60 + 11*i**4/36 + 29*i**3/6 - 15*i**2 - 259*i. Determine k so that a(k) = 0.
-6, -5, 1, 3
Let k(o) be the first derivative of -o**3/3 - 85*o**2/2 + 86*o + 170. Suppose k(l) = 0. Calculate l.
-86, 1
Suppose 5*y = -80*o + 86*o + 41, 5*o = 3*y - 19. Find r, given that -12/5*r + 14/5*r**3 + 0 - 2/5*r**o + 2/5*r**2 - 2/5*r**5 = 0.
-3, -1, 0, 1, 2
Let k(v) be the third derivative of v**10/100800 - 29*v**9/362880 + v**8/20160 - 19*v**5/20 + 66*v**2. Let h(d) be the third derivative of k(d). Factor h(i).
i**2*(i - 3)*(9*i - 2)/6
Let k(z) = -z**3 - 2*z**2 + 8*z + 6. Let g be k(-4). Factor -883 + 4*d**2 - 6*d**2 + g*d + 891.
-2*(d - 4)*(d + 1)
Suppose 6*s = 2*s + 12. Let -20*u**5 - 11*u**s + 3*u**4 + u**3 - 48*u**4 = 0. Calculate u.
-2, -1/4, 0
Let y(l) be the third derivative of -l**7/2520 - l**6/180 + l**5/10 + 41*l**4/12 + l**3/6 - 23*l**2. Let w(a) be the second derivative of y(a). Factor w(h).
-(h - 2)*(h + 6)
Suppose 6*s = 9*s - 9. Suppose -14*f**s + 19*f**4 + f**4 - 37*f**2 - 8*f + 65*f**2 - 4*f**5 - 22*f**3 = 0. What is f?
0, 1, 2
Let d = 1110 + -1761. Let z be (372/d)/(-1 - (-4)/7). Factor 0 + 0*h**2 + 0*h + 2*h**5 + 2/3*h**4 - z*h**3.
2*h**3*(h + 1)*(3*h - 2)/3
Let f(d) be the first derivative of -10*d**3/3 - 44*d**2 + 120*d + 1830. Find b such that f(b) = 0.
-10, 6/5
Find p, given that -1/2*p**3 + 24 + 4*p - 5/2*p**2 = 0.
-4, 3
Let g be (0 + 1)*(-1 + -6 + 10). Factor 27*n**3 + 135*n - 87*n**2 - 165*n**2 + 165*n**g - 42*n**3 - 36*n**4 + 3*n**5.
3*n*(n - 5)*(n - 3)**2*(n - 1)
Factor 25/3*c**2 + 539/3 - 203/3*c - 1/3*c**3.
-(c - 11)*(c - 7)**2/3
Suppose 1916 = 18*l - 14*l. Find q, given that -20 + 4*q + l*q**2 - 20*q - 455*q**2 + 0 - 4*q**4 + 16*q**3 = 0.
-1, 1, 5
Let p(d) be the first derivative of 0*d**2 - 1/2*d**3 - 1/4*d**4 - 27*d - 38. Let x(g) be the first derivative of p(g). Determine m, given that x(m) = 0.
-1, 0
Let r(q) be the second derivative of -49/60*q**6 + q**2 - 16 + 7/4*q**5 - 10/3*q**3 + 25/8*q**4 - 3*q. Let r(m) = 0. What is m?
-1, 1/7, 2/7, 2
Let q be (4 - 0)/(2 - 24/16). Solve 2*x**2 + 240*x + 3600 - 3*x**2 - x**2 - 2*x**2 + q*x**2 = 0.
-30
Let w(v) be the second derivative of 1/4*v**2 + 1/4*v**3 + 1/24*v**4 - 1/30*v**6 - 3/40*v**5 - 63*v + 0. Find k, given that w(k) = 0.
-1, -1/2, 1
Let t be 3/(-15)*3*-5. Suppose -3*f - w = t*w - 21, -4*w + 15 = f. Factor -16*d - 240*d**4 + 252*d**4 + 28*d**3 - 92*d**f + 68*d**2.
4*d*(d - 4)*(d - 1)*(3*d - 1)
Let f(s) be the first derivative of -10*s**3/3 + 918*s**2 + 736*s - 749. Let f(d) = 0. Calculate d.
-2/5, 184
Factor -81*c**4 + 0*c**5 - c**5 + 156*c**4 + 2*c**5 - 51*c**4.
c**4*(c + 24)
Suppose 0 = 2*u + 5*g - 41, 3*u = 4*g + 1 + 26. Factor -4*b - 2*b**3 + 32*b - 7*b - u*b.
-2*b*(b - 2)*(b + 2)
Let x(w) be the third derivative of -w**9/120960 + w**8/80640 + w**7/20160 + 13*w**5/20 + 154*w**2. Let d(r) be the third derivative of x(r). Factor d(v).
-v*(v - 1)*(2*v + 1)/4
Let p = -111 - -121. Suppose m + 15 = 7*w - 3*w, 2*m = 3*w - p. Factor w + 2 + 3 - 11*s**2 - s**3 + 6*s**2 - 3*s.
-(s - 1)*(s + 3)**2
Let d(i) be the first derivative of 2*i**5/5 + 10*i**4 - 2*i**3/3 - 20*i**2 + 2175. Solve d(x) = 0.
-20, -1, 0, 1
Let v(p) be the third derivative of p**6/840 + 257*p**5/420 + 127*p**4/21 + 506*p**3/21 + 8170*p**2. Factor v(k).
(k + 2)**2*(k + 253)/7
Suppose -s + 0*s - 2 = -2*z, -4*z + 3*s + 8 = 0. Let u be 2/(-4*z/5). Suppose 0 + 15/2*c + u*c**2 = 0. Calculate c.
-3, 0
Let r be ((-6)/(-95))/((-498)/(-747) - 14/30). Factor 6/19*l + 2/19 + 4/19*l**2 - 4/19*l**3 - 2/19*l**5 - r*l**4.
-2*(l - 1)*(l + 1)**4/19
Factor 8333 + 7148 + 216*b + 5*b**2 + 554*b + 755 + 13409.
5*(b + 77)**2
Solve 39*a + 3/5*a**2 + 1512/5 = 0 for a.
-56, -9
Let u = 0 + 10. Suppose -p - 2*f + 4 = 0, -3*p - 5*f = -5*p - u. Let -4/5*g**2 + 0 + p*g + 4/5*g**3 = 0. What is g?
0, 1
Let o(v) be the second derivative of -2/5*v**6 + 2/5*v**5 - 5/3*v**3 + 10*v + 1/21*v**7 + v**4 - 1 + 0*v**2. Factor o(j).
2*j*(j - 5)*(j - 1)**2*(j + 1)
Let f(t) be the second derivative of -t**6/90 + t**5/6 - t**4 - 37*t**3/6 + t**2 - t - 7. Let m(s) be the second derivative of f(s). Factor m(k).
-4*(k - 3)*(k - 2)
Let b(j) be the first derivative of -4/51*j**3 + 0*j + 1/34*j**4 - 3/17*j**2 + 58. Factor b(l).
2*l*(l - 3)*(l + 1)/17
Let y be 4 + 67/4*(-1)/(-2). Suppose 41/8*n**4 + 0 + 59/4*n**3 + 9/4*n + y*n**2 + 1/2*n**5 = 0. Calculate n.
-6, -3, -1, -1/4, 0
Suppose 778*z - 328*z = 161*z + 578. Let -294/5*o**z - 56/5*o - 8/15 = 0. Calculate o.
-2/21
Let w be -587 + 550 - (-39 - 2). Find d such that 0*d + 3/5*d**w - 54/5*d**3 + 0 + 243/5*d**2 = 0.
0, 9
Factor 0 - 64/17*a**3 + 0*a + 8*a**2 - 2/17*a**4.
-2*a**2*(a - 2)*(a + 34)/17
Let q(x) be the first derivative of -120*x**5 + 1235*x**4/2 + 838*x**3 + 336*x**2 + 40*x - 611. What is y in q(y) = 0?
-2/5, -1/12, 5
Let c be (7/28)/((-3)/(-12)). Let r be 6 - (115/25 - 5)/c. Solve 4/5*h - r + 28/5*h**2 = 0.
-8/7, 1
Let v(r) be the first derivative of 4*r**3/15 + 26*r**2/5 + 6867. Let v(s) = 0. Calculate s.
-13, 0
Suppose 2504*s - 6225*s - 5*s**2 - 1195605 + 8611*s = 0. What is s?
489
Let f(x) be the first derivative of 2*x**5/5 - 10*x**4 + 178*x**3/3 + 110*x**2 - 4367. Factor f(s).
2*s*(s - 11)*(s - 10)*(s + 1)
Let z(h) be the second derivative of -18 - 2/21*h**4 - 2*h + 1/140*h**5 + 0*h**2 + 1/6*h**3. Factor z(l).
l*(l - 7)*(l - 1)/7
Let w(p) = 2*p**4 - p**3 + 2*p**2 - 1. Let d(f) = 8*f**5 - 56*f**4 + 165*f**3 - 172*f**2 + 40*f + 21. Let k(j) = 2*d(j) - 6*w(j). Suppose k(l) = 0. What is l?
-1/4, 1, 2, 3
Let k(g) be the second derivative of 68*g + 0*g**2 - 17/108*g**4 + 0 - 1/180*g**5 + 1/3*g**3. Factor k(w).
-w*(w - 1)*(w + 18)/9
Let w(d) be the first derivative of -64 + 2/5*d**5 + 4/3*d**3 - 6*d - 2*d**4 + 4*d**2. Let w(z) = 0. What is z?
-1, 1, 3
Let f(q) be the first derivative of 90 - 648/7*q + 4/3*q**3 - 1/14*q**4 - 9/7*q**2. Factor f(y).
-2*(y - 9)**2*(y + 4)/7
Let y = 63235 + -252939/4. Let 0*l + 0 + y*l**4 + 0*l**2 + 1/2*l**3 - 1/4*l**5 = 0. Calculate l.
-1, 0, 2
Let i be (-2)/(-7) - (-4)/(-14). Let y = 1690934/3 + -563640. Factor 38/3*u**2 - 4*u + y*u**3 + i.
2*u*(u + 3)*(7*u - 2)/3
Let z be (-5)/((-27)/(15 + -6)). Let q = -44/9 - -65/9. Factor -q*d**2 + 2/3 + z*d.
-(d - 1)*(7*d + 2)/3
Let h(x) be the third derivative of 0*x - 392/3*x**3 + 22*x**2 - 35/2*x**4 - 2 - 1/30*x**6 - 6/5*x**5. Factor h(z).
-4*(z + 4)*(z + 7)**2
Let q = 4363921/7 + -623417. Factor 6/7*o**4 - 2/7*o**3 + q*o**5 - 22/7*o**2 - 8/7 - 24/7*o.
2*(o - 2)*(o + 1)**3*(o + 2)/7
Let i(d) be the second derivative of 40/3*d**2 + 7/9*d**4 - 16*d**3 + 0 + 43*d. Factor i(f).
4*(f - 10)*(7*f - 2)/3
Let c(t) be the first derivative of -t**5/5 + 17*t**4/4 - 38*t**3/3 - 28*t**2 - 52. Factor c(h).
-h*(h - 14)*(h - 4)*(h + 1)
Let o(p) be the first derivative of -25*p**4/48 - 115*p**3/24 + 25*p**2/4 - 128*p - 4. Let q(m) be the first derivative of o(m). Factor q(r).
-5*(r + 5)*(5*r - 2)/4
Suppose 0 = -113*a + 117*a - 120. Let s be (10/a)/(63/27). Factor 0 + 0*