pose y(w) = 0. Calculate w.
-1, 1, 47
Let u(f) be the second derivative of -f**6/180 - f**5/45 + f**4/36 + 2*f**3/9 + 7*f**2 + 2*f. Let q(d) be the first derivative of u(d). Factor q(k).
-2*(k - 1)*(k + 1)*(k + 2)/3
Let s = 1952 - 1948. Find b such that 48/7*b**2 + 0 + 2*b**5 + 60/7*b**s + 8/7*b + 86/7*b**3 = 0.
-2, -1, -2/7, 0
Let u(c) be the first derivative of -c**6/780 - c**5/195 + c**4/52 + 23*c**2/2 + 17. Let o(h) be the second derivative of u(h). Let o(j) = 0. What is j?
-3, 0, 1
Let y be 0/((-3 + 10)/(-7)) - (0 - 0). Factor -6/7*m**4 - 2/7*m**2 - 6/7*m**3 + y*m - 2/7*m**5 + 0.
-2*m**2*(m + 1)**3/7
Let k(n) be the third derivative of n**8/110880 - n**7/2310 + n**6/110 + 19*n**5/60 - 3*n**2. Let w(j) be the third derivative of k(j). Factor w(g).
2*(g - 6)**2/11
Let n = -4565/28 + 163. Let f = 3/14 - n. Factor -f*s**3 - 1/2 + 1/4*s + 1/2*s**2.
-(s - 2)*(s - 1)*(s + 1)/4
Let f(b) be the first derivative of -1/4*b**4 + 2/3*b**2 + 0*b**3 + 0*b + 30 - 1/15*b**5. Suppose f(y) = 0. Calculate y.
-2, 0, 1
Let d(j) be the third derivative of 3*j**5/10 + 15*j**4/8 - 3*j**3/2 + 14*j**2. Let q(l) = l**2 + l. Let k(t) = d(t) - 3*q(t). Determine r so that k(r) = 0.
-3, 1/5
Let g be ((-94)/(-1))/2 + -1. Let r be g/8 - 10/(-40). Solve 2*p**2 - 4*p - r*p**2 + 5*p**2 + 0*p**2 = 0 for p.
0, 4
Suppose 11 = 2*c + 3*w, 3*c + 4*w = w + 12. Suppose 4*g - 3*x = -c, -4*g - 4 - 3 = -5*x. Factor 4/7*o**5 + 8/7*o**g - 4/7 - 8/7*o**3 + 4/7*o - 4/7*o**4.
4*(o - 1)**3*(o + 1)**2/7
Let x(o) be the second derivative of 1/165*o**6 + 0*o**4 + 0*o**2 + 0 + 11*o - 2/55*o**5 + 0*o**3. Let x(t) = 0. What is t?
0, 4
Let i(f) = 4*f**2 - 4*f + 8. Suppose 0 = 8*s - 5*s - 6. Let d(g) = 2*g**2 - 3*g**s - g - 3 + 2*g + 0. Let v(a) = 8*d(a) + 3*i(a). Factor v(p).
4*p*(p - 1)
Let h(s) = s**2 - s. Let d be h(-1). Suppose -5*g**2 + g**d + 16*g**2 - 28*g + 8 = 0. Calculate g.
1/3, 2
Let u(s) be the second derivative of -1/4*s**4 + 0*s**2 + 3/100*s**5 - 7*s + 2/5*s**3 + 0. Factor u(c).
3*c*(c - 4)*(c - 1)/5
Let n(r) be the first derivative of 8/5*r**5 + 8*r**4 + 0*r**2 + 128/9*r**3 - 8 + 1/9*r**6 + 0*r. Factor n(w).
2*w**2*(w + 4)**3/3
Let t(a) be the first derivative of 5*a**6/18 - 11*a**5/3 + 15*a**4 - 80*a**3/9 - 160*a**2/3 - 72. Factor t(k).
5*k*(k - 4)**3*(k + 1)/3
Let z(f) = -95*f**4 + 685*f**3 + 2735*f**2 + 275*f - 3600. Let o(d) = 8*d**4 - 57*d**3 - 228*d**2 - 23*d + 300. Let n(m) = -35*o(m) - 3*z(m). Factor n(q).
5*(q - 15)*(q - 1)*(q + 2)**2
Let v = 8 - 5. Suppose 3*c**2 + 0*c - 4 + 4 - v*c - 6 = 0. Calculate c.
-1, 2
What is k in 14*k**2 - 2*k**4 - 392*k - 4396*k**3 + 4450*k**3 - 350*k**2 = 0?
-1, 0, 14
Let q(y) be the third derivative of -y**5/12 + 5*y**4/4 + y**2 - 133*y. Factor q(b).
-5*b*(b - 6)
Suppose 4*f = 4*w - 80, 5*f + 3*w + 30 + 46 = 0. Let h = f - -19. Let -l**2 - 12*l + h - 3*l**2 - 10 = 0. Calculate l.
-2, -1
Let z(c) = c**3 - c**2. Let b be (4/(-6))/((-5)/((-15)/(-2))). Let a(i) = -i**3 + 13*i**2 - 16*i. Let w(h) = b*a(h) - 3*z(h). Let w(d) = 0. Calculate d.
0, 2
Let i = -34/9 - -274/63. Find y such that i*y + 6/7 - 2/7*y**2 = 0.
-1, 3
Let a = -53 + 22. Let s = a + 20. Let c(x) = 10*x**2 - 12*x + 6. Let w(q) = -19*q**2 + 24*q - 11. Let m(u) = s*c(u) - 6*w(u). Factor m(h).
4*h*(h - 3)
Let a(n) be the third derivative of 1/42*n**7 + 0*n - 5/24*n**4 + 1/24*n**6 - 21*n**2 - 1/12*n**5 + 0*n**3 + 0. Factor a(i).
5*i*(i - 1)*(i + 1)**2
Let g(t) be the first derivative of -3*t**5 - 95*t**4/4 + 190*t**3/3 - 40*t**2 - 125. Factor g(r).
-5*r*(r - 1)*(r + 8)*(3*r - 2)
Let o(y) be the first derivative of y**4/8 + 2*y**3 - y**2/4 - 6*y + 36. Factor o(u).
(u - 1)*(u + 1)*(u + 12)/2
Let a(o) be the first derivative of -o**6/51 - 28*o**5/85 - 35*o**4/34 - 44*o**3/51 + 178. Determine h, given that a(h) = 0.
-11, -2, -1, 0
Let b(c) = c**5 + 2*c**3 + c**2 - 1. Let q(m) = -34*m**5 - 110*m**4 - 216*m**3 - 178*m**2 - 68*m. Let z(r) = 10*b(r) + q(r). Let z(t) = 0. Calculate t.
-5/4, -1, -1/3
Suppose 10 = 5*o - 5*t, 0 = 4*o - 0*t - 5*t - 6. Let s be 14/o + 19/(-38). Let 4/3*i - 5/3*i**4 - 4/3*i**s + 2*i**2 - 1/3 = 0. What is i?
-1, 1/5, 1
Let u be (-2)/13 + (-27 - 9345/(-325)). Factor -24/5*z - 12/5*z**3 - u - 2/5*z**4 - 26/5*z**2.
-2*(z + 1)**2*(z + 2)**2/5
Suppose -2*g = -6*g + 80. Let d = g - 18. Let -6*m - 9*m**2 - 9 + 7 + d = 0. What is m?
-2/3, 0
Factor -1/4*n**3 - 7/4*n**2 + 0 - 3*n.
-n*(n + 3)*(n + 4)/4
Let h(o) = -o**2 + 10*o - 13. Let w be (-8)/20 - (-84)/10. Let y be h(w). Factor 0 + 2/5*i**y + 0*i + 4/5*i**2.
2*i**2*(i + 2)/5
Let g be -1*24/28 - 66/(-77). Let a(t) be the third derivative of 1/200*t**6 + 2/5*t**3 + 0*t + g + 7*t**2 - 3/100*t**5 + 0*t**4. Factor a(u).
3*(u - 2)**2*(u + 1)/5
Let c(g) be the first derivative of -g**3/5 - 9*g**2/5 - 24*g/5 + 43. Solve c(f) = 0 for f.
-4, -2
Let v(a) = a**4 - 2*a**2 - 1. Suppose 5*y = y - 204. Let u(i) = -9*i**4 - i**3 + 17*i**2 + i + 9. Let w(r) = y*v(r) - 6*u(r). Determine n so that w(n) = 0.
-1, 1
Let m(c) be the third derivative of -c**6/540 - c**5/90 - c**4/36 - c**3/27 - 53*c**2. Factor m(n).
-2*(n + 1)**3/9
Let j(a) be the second derivative of -a**5/100 - a**4/20 + a**3/30 + 3*a**2/10 + 91*a. Factor j(v).
-(v - 1)*(v + 1)*(v + 3)/5
Let x be 91/52 - 1/4*-1. Let b(f) be the first derivative of 0*f - 1/4*f**x + 0*f**5 + 1/4*f**4 + 0*f**3 - 1/12*f**6 - 6. Solve b(i) = 0.
-1, 0, 1
Let n(v) be the third derivative of -5*v**8/168 - 9*v**7/35 - 5*v**6/6 - 6*v**5/5 - 2*v**4/3 - 537*v**2. Let n(h) = 0. What is h?
-2, -1, -2/5, 0
Find k, given that -48/23*k - 22/23*k**2 - 8/23 = 0.
-2, -2/11
Suppose 2*n**4 + 12 - 12*n**2 + 13*n**4 + 22*n - 18*n**3 - 19*n**4 = 0. Calculate n.
-3, -2, -1/2, 1
Let m(n) be the third derivative of -1/2*n**4 + 3*n**2 - 1/3*n**3 + 0 + 0*n - 1/6*n**5. Solve m(t) = 0.
-1, -1/5
Find n, given that -1/9*n**3 + 1/9*n + 0*n**2 + 0 = 0.
-1, 0, 1
Let f(l) be the third derivative of -l**5/160 - 37*l**4/64 + 39*l**3/8 + 4*l**2 + 4. Factor f(d).
-3*(d - 2)*(d + 39)/8
Suppose -19*q + 6 = -17*q + 2. Factor -2/5*o**q - 8/5*o - 6/5.
-2*(o + 1)*(o + 3)/5
Let o(c) be the second derivative of c**5/120 + c**4/24 - 4*c**2 - 26*c. Let n(p) be the first derivative of o(p). Suppose n(x) = 0. Calculate x.
-2, 0
What is f in 60*f - 16*f**2 - 83*f**3 - 154*f**3 + 233*f**3 + 72 = 0?
-6, -1, 3
Let l(s) be the second derivative of -s**5/15 + 2*s**3/3 - 4*s**2 + 3*s. Let c(d) be the first derivative of l(d). Let c(g) = 0. Calculate g.
-1, 1
Let l be ((-3)/6*-4)/((-2)/(-8)). Factor -17*n + 6*n + 3*n - 2*n**2 - l.
-2*(n + 2)**2
Let s(y) be the first derivative of y**6/24 - 5*y**5/12 + 35*y**4/24 - 5*y**3/2 + 11*y**2 + 2. Let t(v) be the second derivative of s(v). Factor t(q).
5*(q - 3)*(q - 1)**2
Let v = -52975/11 + 4823. Solve -54/11*k**3 - 10/11*k**4 + v*k + 36/11 - 50/11*k**2 = 0 for k.
-3, -2/5, 1
Suppose -2*m + 14 = -2*y, -m - 53 = 3*y + 2*y. Let q be y/(-25)*(-10)/(-8). Factor -3/2*l + 3/2*l**2 - 1/2*l**3 + q.
-(l - 1)**3/2
Suppose 15 = 3*o - 3. Let i(a) be the first derivative of -o + 1/8*a**4 + 1/4*a**2 + 0*a + 1/3*a**3. Factor i(j).
j*(j + 1)**2/2
Let k = 28353 + -28351. Let i be (-2)/7 + (-29)/(-28). Let -3/4*h**k - i - 3/2*h = 0. What is h?
-1
Let c(w) = 16*w**4 + 20*w**3 + 6*w**2 + 6*w. Let o(t) = 2*t**4 + t**2 + t. Let d(k) = c(k) - 6*o(k). Find q such that d(q) = 0.
-5, 0
Let i(m) be the second derivative of 0*m**3 - 2/273*m**7 - m - 1/13*m**6 + 16/13*m**2 + 0 - 20/39*m**4 - 4/13*m**5. Factor i(q).
-2*(q + 2)**4*(2*q - 1)/13
Determine s, given that -216 - 225/2*s**3 - 612*s - 3/2*s**5 - 1083/2*s**2 + 63/2*s**4 = 0.
-1, 12
Let p = 1/29052 - -43573/145260. Factor -3/5 - 11/10*f - p*f**2.
-(f + 3)*(3*f + 2)/10
Let d(l) = 4*l**3 + 206*l**2 + 2075*l - 8112. Let n(s) = -2*s**3 - 104*s**2 - 1037*s + 4056. Let g(k) = -3*d(k) - 5*n(k). Factor g(b).
-2*(b - 3)*(b + 26)**2
Let 0 + 1083/4*i + 3/4*i**3 + 57/2*i**2 = 0. What is i?
-19, 0
Suppose 2*y + 28 = 6. Let u be (-2)/((-82)/72 - y/(-99)). Suppose 0 - u*j**3 + 2/5*j**4 + 0*j + 8/5*j**2 = 0. Calculate j.
0, 2
Let o(d) = d**3 - 17*d**2 - 12*d. Let u(b) = -3*b**3 + 16*b**2 + 11*b. Let l(c) = -4*o(c) - 3*u(c). Let l(p) = 0. Calculate p.
-3, -1, 0
Let m(s) = -19*s**2 + 10*s - 1. Let i(g) = 22*g**2 - 12*g + 2. Let y(w) = 5*i(w) + 6*m(w). Factor y(q).
-4*(q - 1)*(q + 1)
Factor 23/2*a - 1/2*