8 + c. Factor -3/4*p**2 + n*p**3 + 0*p + 0.
3*p**2*(p - 2)/8
Let x(g) be the second derivative of 3/20*g**4 + 1/100*g**5 + 1/2*g**3 - 245*g - 5/2*g**2 + 0. Factor x(l).
(l - 1)*(l + 5)**2/5
Suppose 0*b - 5*b = -t - 2, 2*t + b = 7. Let x = 9895 + -9724. Solve x*c**3 + 128 - 163*c**t - 3*c**4 + 48*c**2 - 160*c - c**4 = 0.
-4, 2
Let h(x) be the third derivative of -1/30*x**5 + 0 + 7/12*x**3 - 1/480*x**6 + 56*x**2 - 5/96*x**4 + 0*x. Factor h(s).
-(s - 1)*(s + 2)*(s + 7)/4
Let z(k) be the second derivative of -k**5/20 + k**4/6 + 2*k**3/3 - 4*k**2 - 31*k + 21. Determine y, given that z(y) = 0.
-2, 2
Factor 2/3*l**4 + 0 + 82/3*l**2 - 32*l**3 + 188*l.
2*l*(l - 47)*(l - 3)*(l + 2)/3
Let d be 1295/55 + -21 - 12/22. Let u be 1 + (-1 + 1 - -1). Factor 473*m**2 + 0 + u - 475*m**d.
-2*(m - 1)*(m + 1)
Factor -16 - 25*n**2 - n**3 + 55 - 33 - 33 + 53*n.
-(n - 1)**2*(n + 27)
Suppose 652*b**2 + 536*b + 68*b**4 + 4*b**5 - 3029 + 340*b**3 - 3255 + 6444 = 0. Calculate b.
-10, -4, -1
Let s be -3 - 669/39 - (-16)/104. Let j be ((-4)/8)/(2/s). Factor 18*g**2 + 1/2*g**4 + j*g**3 + 28*g + 16.
(g + 2)**3*(g + 4)/2
Let r = -123 - -139. Factor -2*i + 12*i**3 - 8 + r*i**4 - 66*i**5 + 8 + 35*i**5 + 37*i**5.
2*i*(i + 1)**3*(3*i - 1)
Let y(n) be the first derivative of n**3/6 + 272*n**2 + 147968*n + 115. Factor y(w).
(w + 544)**2/2
Let h = -496 + 65. Let m = -431 - h. Factor -1/4*d + 1/2*d**2 - 1/4*d**3 + m.
-d*(d - 1)**2/4
Let u = 34 + -60. Let m = u + 28. Factor -8 + 2*j - 2*j - 38*j**3 + 6*j**m + 40*j**3.
2*(j - 1)*(j + 2)**2
Let r(w) = 13*w**2 + 10*w - 40. Let m = -140 - -185. Let c(u) = 145*u**2 + 110*u - 440. Let n(l) = m*r(l) - 4*c(l). Solve n(y) = 0.
-4, 2
Let w be 56/(-8) + 229 + 13. Let n be 94/w + 24/15. Determine k so that -3/2*k**3 + 0 + 3/4*k**4 + 3/2*k - 3/4*k**n = 0.
-1, 0, 1, 2
Suppose -37/5*o**3 - 39/5*o**2 + 4/5*o**4 - 4 + 92/5*o = 0. What is o?
-2, 1/4, 1, 10
Let t(z) be the second derivative of -z**5/60 - 5*z**4/24 - z**3 + 65*z**2 + 7*z - 3. Let g(b) be the first derivative of t(b). Suppose g(u) = 0. Calculate u.
-3, -2
Let a(y) be the second derivative of y**4/4 + 17*y**3 + 867*y**2/2 - 3*y - 269. Factor a(s).
3*(s + 17)**2
Let a(j) be the second derivative of j**4/66 - 107*j**3/33 + 106*j**2/11 - 2468*j. Factor a(x).
2*(x - 106)*(x - 1)/11
Factor -146688/7*y + 764/7*y**3 + 72194/7*y**2 + 73728/7 + 2/7*y**4.
2*(y - 1)**2*(y + 192)**2/7
Let u(d) be the third derivative of -d**9/15120 + d**7/1680 - d**6/720 - 15*d**5/4 - d**3/6 + 177*d**2. Let x(v) be the third derivative of u(v). Factor x(q).
-(q + 1)*(2*q - 1)**2
Determine s, given that -20/7*s**4 + 432/7*s + 768/7*s**2 + 0 + 316/7*s**3 = 0.
-6/5, -1, 0, 18
Find b, given that -1/3*b**4 - 131*b**2 - 43/3*b**3 + 1495/3*b - 1058/3 = 0.
-23, 1, 2
Let w(n) be the third derivative of 8/9*n**3 + 75 + 2/45*n**5 + 2*n**2 + 5/18*n**4 + 0*n + 1/360*n**6. Let w(s) = 0. Calculate s.
-4, -2
Let a(f) be the third derivative of f**5/40 + 157*f**4/8 + 24649*f**3/4 - 13*f**2 + 13*f. Find g, given that a(g) = 0.
-157
Factor 198*y**2 + 8*y**2 + 2565*y + 19*y**3 + 6600 + 3*y**3 + 28*y**2 - 25*y**3.
-3*(y - 88)*(y + 5)**2
Let r(m) be the third derivative of -26*m**5/75 + 127*m**4/30 + 2*m**3 - 612*m**2 + 3. Factor r(g).
-4*(g - 5)*(26*g + 3)/5
Let k(y) be the second derivative of -27/40*y**5 - 1/30*y**6 + 0 + 0*y**2 + 45*y - 7/3*y**3 - 13/6*y**4 + 1/84*y**7. Determine o, given that k(o) = 0.
-2, -1, 0, 7
Let p(m) be the third derivative of m**5/60 - 167*m**4/2 + 167334*m**3 + 23*m**2 - 10. Suppose p(t) = 0. Calculate t.
1002
Suppose -3/5*c**3 + 0 - 131043/5*c - 1254/5*c**2 = 0. Calculate c.
-209, 0
Let v be (-22602)/(-63)*(-33)/(-22). Let j = -538 + v. Factor -2/7 - 3/7*f - j*f**2.
-(f + 1)*(f + 2)/7
Let i(o) be the second derivative of -o**5/70 + o**4/14 - 4*o**2/7 + 2131*o. Factor i(k).
-2*(k - 2)**2*(k + 1)/7
Factor -6550/3*f - 74/3*f**3 - 11125/3 + 1/3*f**4 - 420*f**2.
(f - 89)*(f + 5)**3/3
Let l be 64630/16860 - 5/6. Factor 44*u - 1/2*u**4 + 18*u**2 + u**l + 32.
-(u - 8)*(u + 2)**3/2
Suppose 0 = -26*f + 67*f - 1681. Solve -25*z**3 + f*z**3 + 72*z + 69*z**2 - 59*z**2 - 18*z**3 = 0.
-4, 0, 9
Let k(j) = 24*j**4 + 16*j**3 - 40*j**2 + 4. Let a(i) = 67*i**2 + 1 + i**4 - i**5 + 8*i**3 - 7*i**3 - 68*i**2. Let y(r) = 4*a(r) - k(r). Solve y(w) = 0 for w.
-3, 0, 1
Suppose -16*a - d - 3 = -13*a, -5*a + 51 = -3*d. Factor 12/5*p**2 + 4/5*p**a + 12/5*p + 4/5.
4*(p + 1)**3/5
Let j be (2/18)/((-3)/(81/(-3))). Let o be 20 + (-1340)/60 + 5*j. Factor 0*w - o + 2/3*w**2.
2*(w - 2)*(w + 2)/3
Let k(a) be the third derivative of 0*a - 3/4*a**5 - 1/24*a**6 + 0 + 15/2*a**3 - 126*a**2 + 5/24*a**4. Suppose k(l) = 0. Calculate l.
-9, -1, 1
Let o(n) be the second derivative of -n**6/105 + 9*n**5/14 - 55*n**4/14 + 5*n**3/3 + 246*n**2/7 + 6320*n. Suppose o(g) = 0. Calculate g.
-1, 2, 3, 41
Let x(s) be the first derivative of s**8/112 - s**7/35 - 3*s**6/40 + 41*s**2/2 - 42. Let c(k) be the second derivative of x(k). Factor c(i).
3*i**3*(i - 3)*(i + 1)
Let g = -1801 - -1771. Let p be (-3)/(-13)*890/g - -7. Factor -p*w**3 + 0 + 6/13*w**2 + 0*w.
-2*w**2*(w - 3)/13
Let t(r) be the third derivative of 1/180*r**5 + 0 - 2*r**2 - 7/24*r**4 + 29*r + 10/9*r**3. Let t(y) = 0. What is y?
1, 20
Let f(d) be the first derivative of 2*d**6/3 - 20*d**5 + 139*d**4 - 308*d**3 - 144*d**2 + 1296*d - 223. Suppose f(m) = 0. Calculate m.
-1, 2, 3, 18
Let h(f) be the second derivative of f**8/560 - 3*f**7/280 + f**5/10 - 20*f**3/3 + 16*f - 6. Let v(b) be the second derivative of h(b). What is l in v(l) = 0?
-1, 0, 2
Let n(u) = 5*u**3 - 75*u**2 - 30*u + 35. Let j(l) = l**3 - 38*l**2 - 13*l + 17. Let m(r) = 5*j(r) - 3*n(r). Suppose m(h) = 0. What is h?
-1, 1/2, 4
Let j be (-2376)/3960*(-4 + 2 - 3). Factor 7/6*p**4 + 0*p + 0 - 45/2*p**j + 19/3*p**2.
p**2*(p - 19)*(7*p - 2)/6
Suppose 4*s - 94 = -q, -3*s + 91 - 27 = 4*q. Suppose 2*f = -2*b, -2*f + 5*b = f - s. Solve -8*t**3 + 2*t + t**2 - 2*t**f + 9*t**3 = 0.
-1, 0, 2
Let h(n) be the first derivative of -27 + 28/15*n**5 + 14/9*n**3 - 22/3*n**2 + 143/12*n**4 - 49/18*n**6 + 8/3*n. Find r, given that h(r) = 0.
-1, 2/7, 2
Suppose -1622 = -316*x - 61*x - 114. Determine q so that 18/7*q**2 - 96/7*q**3 - 6/7*q**x + 300/7*q + 192/7 = 0.
-16, -1, 2
Solve 7/3*f**4 + 8 + 82/3*f + 101/3*f**2 + 17*f**3 - 1/3*f**5 = 0 for f.
-2, -1, 12
Let t be ((-10)/(-18))/(2005/7218). Let l(y) be the second derivative of 1/2*y**4 + 3 - 4*y**t - 1/10*y**5 + 0*y**3 + y. Factor l(a).
-2*(a - 2)**2*(a + 1)
Let o = 47172 + -47167. Determine j so that -18/11 - 6/11*j**o + 12/11*j**3 - 6/11*j - 18/11*j**4 + 36/11*j**2 = 0.
-3, -1, 1
Let s(q) be the first derivative of q**7/180 - 23*q**6/540 + q**5/9 - q**4/9 - 3*q**3 - 3*q**2/2 - 18. Let c(h) be the third derivative of s(h). Factor c(o).
2*(o - 2)*(o - 1)*(7*o - 2)/3
Let i(r) = 6*r**3 - 92*r**2 - 20*r + 753. Let h be i(15). Factor -2/3*y**2 - 2/9*y**h + 0*y + 0.
-2*y**2*(y + 3)/9
Let f = 67274/3 + -22413. Let j(b) be the first derivative of 15/2*b**4 - 27 - 10*b + f*b**3 - 55/2*b**2. Determine x so that j(x) = 0.
-2, -1/6, 1
Let w be -57 + 54 + (1 - -3)*2. Solve -12*m**3 + 8*m**5 + 3*m**4 + 11*m**5 - 6*m**4 - 16*m**w + 12*m**2 = 0 for m.
-2, 0, 1, 2
Let l(r) be the second derivative of r**5/10 - 5*r**4/3 + r**3/3 + 120*r**2 - 25*r - 4. What is n in l(n) = 0?
-3, 5, 8
Let -1/5*o**4 + 37/5*o**2 + 4/5*o**3 + 68/5*o + 36/5 = 0. Calculate o.
-2, -1, 9
Let a(m) = 183*m**3 - 159*m**2 + 34*m. Suppose 4 - 11 = l. Let y(h) = -364*h**3 + 317*h**2 - 67*h. Let t(p) = l*a(p) - 4*y(p). Factor t(c).
5*c*(5*c - 3)*(7*c - 2)
Let n be 0 - 35 - (-6422)/182. Factor -4*j**2 - 50/7*j - 24/7 - n*j**3.
-2*(j + 1)**2*(j + 12)/7
Let -3264/7 - 188/7*b**2 - 1600/7*b + 2/7*b**3 = 0. What is b?
-4, 102
Let c(u) = 2*u**2 - 313*u + 2093. Let r be c(7). What is i in -1/4*i**5 - 1/4*i**2 - 3/4*i**3 + 0*i - 3/4*i**4 + r = 0?
-1, 0
Let q(t) be the first derivative of 2*t**2 + 146 - 2/9*t**3 + 0*t - 1/6*t**4. Factor q(i).
-2*i*(i - 2)*(i + 3)/3
Let q(l) be the second derivative of l**6/1980 - l**5/165 + 5*l**3/6 + 3*l**2 + 6*l + 2. Let c(n) be the second derivative of q(n). Suppose c(f) = 0. What is f?
0, 4
Let d(r) be the second derivative of r**5/10 - 15*r**4/8 + 9*r**3 - 12*r**2 - 2*r - 24. Let j(i) be the first derivative of d(i). Solve j(v) = 0