*w**4 + 1/420*w**7 + 0*w - 5/12*w**3 + 0 + 1/30*w**5 + 45*w**2 + 1/40*w**6. Determine b so that s(b) = 0.
-5, -1, 1
Let n(q) be the first derivative of q**3/9 + 73*q**2/6 - 50*q + 1751. Factor n(d).
(d - 2)*(d + 75)/3
Let z(m) be the first derivative of m**7/504 + m**6/72 - m**5/72 - 5*m**4/24 + 119*m**3/3 + 113. Let f(c) be the third derivative of z(c). Factor f(r).
5*(r - 1)*(r + 1)*(r + 3)/3
Let h(f) = f**3 + 8*f**2 + 3. Let k be h(-8). Factor -15*y**3 + 10*y + 48*y**k + 105*y**2 - 471 + 483 + 74*y.
3*(y + 1)*(y + 2)*(11*y + 2)
Let y(i) = 2*i - 12. Let r be y(-6). Let o = 42 - r. Factor -56*l + o*l**2 + 11 + 1 - 4.
2*(3*l - 2)*(11*l - 2)
Let f(p) be the first derivative of p**6/1260 - 3*p**5/140 - 5*p**4/42 - 8*p**3 + 2*p**2 - 180. Let q(m) be the third derivative of f(m). Factor q(c).
2*(c - 10)*(c + 1)/7
Let p be (-57)/2 + 6758/218. Solve -p*w**3 + 0 - 5/2*w - 5*w**2 = 0.
-1, 0
Let w(j) = j**3 + j**2 - 1. Let z(d) be the second derivative of d**5/10 - d**4/4 - d**2/2 - 4*d - 4. Let l(r) = w(r) - z(r). Factor l(x).
-x**2*(x - 4)
Let i = 191/618 - 44/309. Let y(p) be the third derivative of 3*p**2 + 0*p + 1/12*p**4 + 0 + 1/60*p**5 + i*p**3. Factor y(j).
(j + 1)**2
Let g be (0 + (5 - 0))*84/(-106470)*-39. Factor -g*m**2 - 4 + 30/13*m.
-2*(m - 13)*(m - 2)/13
Let h(t) be the second derivative of -2/105*t**6 - 55*t - 1/147*t**7 + 1/35*t**5 + 2 + 2/21*t**4 - 1/21*t**3 - 2/7*t**2. Let h(q) = 0. Calculate q.
-2, -1, 1
Let y(t) be the third derivative of -t**8/504 - 2*t**7/45 - t**6/6 + 64*t**5/45 + 295*t**4/36 + 50*t**3/3 + 728*t**2 - t. Let y(i) = 0. What is i?
-10, -5, -1, 3
Let g = 199967/12696 + -5/12696. Factor 3/4*c**2 - 33/2 + g*c.
3*(c - 1)*(c + 22)/4
Let j(s) be the first derivative of -1/18*s**4 + 1 - 12*s**2 - 4/3*s**3 + 18*s. Let f(c) be the first derivative of j(c). Find p such that f(p) = 0.
-6
Suppose 3*g + 540 = -2*z, 4*z + 7*g - 10*g = -1062. Let b = -265 - z. Factor 8/5*d**2 - b*d + 4/5 - 2/5*d**3.
-2*(d - 2)*(d - 1)**2/5
Let v be 66/14 - (-2)/7 - -105. Let h be 2196/v - (-80)/200. Find p such that 82/11*p**2 + h*p**4 + 28/11*p - 456/11*p**3 + 128/11*p**5 - 6/11 = 0.
-3, -1/4, 1/4, 1
Let i = -219254 - -219257. Suppose 16/9*b + 8/3 - 2/9*b**i - 2/9*b**2 = 0. Calculate b.
-2, 3
Suppose 21 = 4*k + q, 4*q - 65 = -5*k - 25. Suppose 488 = 110*i + 910 - 752. Factor 0 - 6*w + 5/3*w**k - 32/3*w**i + 19*w**2.
w*(w - 3)**2*(5*w - 2)/3
Let o(u) be the second derivative of 50*u + 1/8*u**4 + 0 + 13/2*u**3 + 507/4*u**2. Let o(r) = 0. Calculate r.
-13
Determine p, given that -526*p**3 + 47*p**2 + 1065*p**3 + 146*p + 105*p**2 - 541*p**3 + 1476 + 820*p = 0.
-3, 82
Suppose -138*h = -136*h - 6. Factor 162 + 38*b**2 + 10*b**2 - 156*b - 4*b**h + 18 - 4*b**2.
-4*(b - 5)*(b - 3)**2
Let l(y) be the first derivative of 3*y**5/5 + 21*y**4/2 + 67*y**3 + 189*y**2 + 216*y - 3824. Let l(v) = 0. What is v?
-6, -4, -3, -1
Let y = 1726 + -2281. Let h be 1/(-10)*y/74. Factor -3/4*g**3 + 3/4*g**2 + 0 - h*g**4 + 3/4*g.
-3*g*(g - 1)*(g + 1)**2/4
Let f = 25432 - 25428. Let i(h) be the first derivative of -h**5 + 15/4*h**f - 5*h**3 + 0*h - 17 + 5/2*h**2. Solve i(w) = 0.
0, 1
Let l(w) be the third derivative of 1/75*w**5 - 3*w**2 + 1/300*w**6 + 0*w**3 - 2 - 1/20*w**4 + 0*w. Factor l(z).
2*z*(z - 1)*(z + 3)/5
Let v(l) = -2*l**2 - 1412*l + 2826. Let i(p) = 22*p**2 + 15534*p - 31088. Let m(u) = 6*i(u) + 68*v(u). Determine x, given that m(x) = 0.
-705, 2
Suppose -4*v = -3*v - 4. Suppose -v*f + 12 = -0*s - s, -4*s - 12 = -4*f. Find n, given that -24 + 24 + 0*n**2 + 3*n**2 - n**f = 0.
0, 3
Suppose -302*n + 295*n = -140. Let t(q) be the first derivative of 0*q + 1/24*q**6 + 0*q**2 + n - 1/10*q**5 + 1/6*q**3 - 1/16*q**4. Factor t(i).
i**2*(i - 2)*(i - 1)*(i + 1)/4
Let y(b) = -7*b**5 + 12*b**4 - 9*b**3 - 9*b + 9. Let d(r) = 3*r**5 - 6*r**4 + 4*r**3 + 4*r - 4. Let i(o) = 9*d(o) + 4*y(o). Factor i(q).
-q**4*(q + 6)
Let o(y) be the third derivative of -y**5/390 - 11*y**4/52 - 32*y**3/39 + 2740*y**2. Factor o(z).
-2*(z + 1)*(z + 32)/13
Let d(b) be the first derivative of -b**8/13440 + b**6/960 + b**5/480 - 5*b**3/3 - 6*b**2 + 31. Let m(z) be the third derivative of d(z). Factor m(t).
-t*(t - 2)*(t + 1)**2/8
Let y(j) be the first derivative of j**9/7056 - j**7/392 + j**5/70 - 74*j**3/3 + 16. Let z(r) be the third derivative of y(r). What is f in z(f) = 0?
-2, -1, 0, 1, 2
Let p = -80 - -3. Let k be ((-8)/p)/((-1)/(-7)). Factor -34/11*x**3 - k*x**2 - 8/11*x**4 + 0*x + 0.
-2*x**2*(x + 4)*(4*x + 1)/11
Let b be 3/15 - 9/(-5). Let d be b/1 + -6 + 6. Factor -2*n**3 - 205*n**2 - 3*n**5 + 207*n**2 + 5*n**5 - d*n**4.
2*n**2*(n - 1)**2*(n + 1)
Suppose -5*u + 97 = -2*l, 36*u = 35*u - 5*l + 14. Let y(x) be the second derivative of -3/5*x**3 + 0 + 1/30*x**4 - u*x + 0*x**2. Factor y(a).
2*a*(a - 9)/5
Factor -84/5*o - 2/15*o**3 + 0 - 6*o**2.
-2*o*(o + 3)*(o + 42)/15
Let a = -76579 + 306317/4. Factor a*x**2 - 4*x + 0.
x*(x - 16)/4
Suppose 11*d + 2*d = 52. Factor -d - 26*z + 3*z**2 - 24*z + 50*z + z**3.
(z - 1)*(z + 2)**2
Let l be ((-846)/(-329))/(2/14). Suppose 8*g = 17*g - l. Find f, given that -2*f**3 + 4/5 - 14/5*f + 2/5*f**4 + 18/5*f**g = 0.
1, 2
Let l(m) = -6*m**4 + 2*m**3 + 6*m**2 + 3*m + 10. Suppose -5*w = 4 + 16. Let a(t) = 5*t**4 - 2*t**3 - 5*t**2 - 2*t - 8. Let u(i) = w*l(i) - 5*a(i). Factor u(f).
-f*(f - 2)*(f - 1)*(f + 1)
Let q(y) be the second derivative of y**5/90 + 1033*y**4/27 + y + 2106. Factor q(d).
2*d**2*(d + 2066)/9
Suppose 128*u + 44 = 109 + 191. Let j(q) be the second derivative of 3/20*q**5 + 0 + 23/10*q**3 + 18*q - 12/5*q**u - 21/20*q**4 + 1/50*q**6. Factor j(x).
3*(x - 1)**3*(x + 8)/5
Let s(k) be the second derivative of -2*k**7/147 + 16*k**6/105 - 19*k**5/35 + 4*k**4/7 - 3721*k. Determine l so that s(l) = 0.
0, 1, 3, 4
Let w(b) = 2*b**2 + b - 11. Let n(a) = -8*a**2 + 2685*a + 2723. Let s(q) = n(q) + 3*w(q). Suppose s(m) = 0. Calculate m.
-1, 1345
Let z(c) = 818*c + 3. Let y be z(0). Let w(m) be the first derivative of 1/15*m**5 - 1/2*m**2 + 0*m + 1/4*m**4 - 1/9*m**y - 4. Determine d so that w(d) = 0.
-3, -1, 0, 1
Let l be (-120)/(-24) - ((-9)/3 + 0). Suppose -q = 2*s - 10, 7 = -4*q + 3*s - l. Factor 2/11*u**2 - 2/11*u**4 - 2/11*u**5 + 0 + 2/11*u**3 + q*u.
-2*u**2*(u - 1)*(u + 1)**2/11
Let f(p) be the first derivative of -95*p + 5/3*p**3 + 104 + 45*p**2. Find c, given that f(c) = 0.
-19, 1
Determine v, given that -275/2*v**2 + 2080*v + 5/2*v**3 - 5070 = 0.
3, 26
Factor -109602456*z**2 + 460*z**4 - 34192*z**3 - 91530093432*z - 18501170550017 - 64920345847427 - 464*z**4 - 45224820705*z - 19392051511*z.
-4*(z + 2137)**4
Let h = 143/114 - 401/456. Let d(l) be the second derivative of 3/32*l**4 - 3/40*l**5 - 15/16*l**2 + h*l**3 + 0 - 31*l. Factor d(w).
-3*(w - 1)**2*(4*w + 5)/8
Let k = 33 + -30. Suppose -k*n - 13 = -5*i + 1, -10 = -n - 2*i. What is v in 7*v**n - 15 + 5*v + 5*v**2 + 3*v**2 - 5*v**3 + 0*v**2 = 0?
-1, 1, 3
Let v(z) be the first derivative of 68 + 625/3*z + 1/9*z**3 - 25/3*z**2. Suppose v(w) = 0. What is w?
25
Let c(y) be the second derivative of -12*y**2 + 5/6*y**4 - 16/3*y**3 + 4 + 1/21*y**7 - y + 7/15*y**6 + 3/2*y**5. Suppose c(f) = 0. What is f?
-3, -2, -1, 1
Let r(y) be the third derivative of -y**5/330 + 344*y**4/33 + 7471*y**2. Factor r(n).
-2*n*(n - 1376)/11
Let u be 1/(5/(15/3)). Let i(c) = -c + 3. Let a(f) = -f**3 + 30*f**2 - 228*f + 9. Let m(w) = u*a(w) - 3*i(w). Suppose m(b) = 0. What is b?
0, 15
Let y(i) be the first derivative of 0*i**2 + 27/80*i**5 + 1/2*i**3 + 17*i - 4 + 5/4*i**4. Let l(p) be the first derivative of y(p). Factor l(c).
3*c*(c + 2)*(9*c + 2)/4
Factor -2/5*a**3 - 212/5*a - 38/5*a**2 - 288/5.
-2*(a + 2)*(a + 8)*(a + 9)/5
Let x(w) be the first derivative of 0*w - 2/3*w**3 + 1/9*w**4 + 23/2*w**2 + 1/45*w**5 + 17. Let o(g) be the second derivative of x(g). Factor o(y).
4*(y - 1)*(y + 3)/3
Let m(p) = -6*p**4 - 178*p**3 - 1060*p**2 - 1316*p + 20. Let a(i) = -2*i**4 - 59*i**3 - 354*i**2 - 439*i + 7. Let n(t) = 20*a(t) - 7*m(t). Factor n(d).
2*d*(d + 2)*(d + 4)*(d + 27)
Solve 22*w**3 + 16*w**4 - 45*w**3 - 11*w**3 + 86*w**2 - 84 + 82*w - 18*w**4 - 48*w**3 = 0 for w.
-42, -1, 1
Let z(i) be the second derivative of -i**5/20 - 7*i**4/8 - 3*i**3 - 73*i**2/2 - 2*i - 25. Let p(o) be the first derivative of z(o). Factor p(m).
-3*(m + 1)*(m + 6)
Let