of c**8/1848 + c**7/1155 - c**6/660 - c**5/330 - 5*c**2. Suppose z(y) = 0. Calculate y.
-1, 0, 1
Let l = -1/1373 + -273224/4119. Let p = l + 67. Find j such that j + 1/3*j**2 + p = 0.
-2, -1
Suppose -k = 3*w - 3, -2 = 2*k + k - 2*w. Factor k*y - 2/3*y**2 + 0.
-2*y**2/3
Factor -16/7*r - 2/7*r**3 + 8/7 + 10/7*r**2.
-2*(r - 2)**2*(r - 1)/7
Let c(b) be the first derivative of b**3/4 + 9. Factor c(j).
3*j**2/4
Let c(h) = h**3 - 8*h**2 - 18*h - 16. Let i be c(10). Factor 0*z**2 + 0 + 0*z - 1/3*z**5 + 1/3*z**3 + 0*z**i.
-z**3*(z - 1)*(z + 1)/3
Let q(i) be the third derivative of i**6/360 - i**5/40 + i**4/12 - i**3/3 + i**2. Let b(l) be the first derivative of q(l). Factor b(m).
(m - 2)*(m - 1)
Find j, given that 2/11*j + 2/11*j**2 - 12/11 = 0.
-3, 2
Let c(x) = x**3 + x**2 + 2*x + 1. Let l be c(2). Let s = l + -17. Solve s - 1/3*o**2 - 1/3*o = 0 for o.
-1, 0
Factor -3/2*d**2 + 3/8*d**3 - 3/4 + 15/8*d.
3*(d - 2)*(d - 1)**2/8
Let u = -316 + 318. Factor -4/13*r + 14/13*r**3 + 0 + 10/13*r**u.
2*r*(r + 1)*(7*r - 2)/13
Let n(o) be the third derivative of o**6/900 - o**5/200 + o**4/120 - o**3/3 - o**2. Let j(i) be the first derivative of n(i). Factor j(x).
(x - 1)*(2*x - 1)/5
Factor 163*i**4 + 4*i**2 - 8*i - 6*i**3 + 26*i**3 - 155*i**4.
4*i*(i + 1)*(i + 2)*(2*i - 1)
Let b = -18 - -18. Let g(m) be the third derivative of 1/240*m**5 + 1/96*m**4 - 1/12*m**3 - m**2 + 0 + b*m. Determine x, given that g(x) = 0.
-2, 1
Let h = 4 - -16. Let y be 24/h*(-2 + 3). Factor 6/5*j**2 - 2/5*j + 0 - y*j**3 + 2/5*j**4.
2*j*(j - 1)**3/5
Let m(q) be the third derivative of -7/240*q**6 + 0*q + 19/120*q**5 - 1/6*q**4 + 0 - 1/3*q**3 + 6*q**2. Find t, given that m(t) = 0.
-2/7, 1, 2
Let j be (2/3)/((-2)/(-42)). Let r = j - 10. Suppose g**2 + 0*g**3 + 0*g - 1/2*g**r - 1/2 = 0. What is g?
-1, 1
Let j be 12/30*10/28. Let u(y) be the second derivative of 3*y + 2/7*y**2 + j*y**3 + 1/42*y**4 + 0. Solve u(l) = 0 for l.
-2, -1
Let x = 4 - 2. Let 0*g + 0*g**2 + g + 0*g**2 - g**x = 0. What is g?
0, 1
Suppose -2*r + 6*r - 72 = 0. Suppose -2*j - 3*h = j - r, -j - 2*h + 11 = 0. Factor a**4 - j - 3*a**3 - 2*a + 0 + 3*a**3 + 2*a**3.
(a - 1)*(a + 1)**3
Suppose 0*l = -3*l + 9. Factor 11/2*w + 13*w**l - 7*w**4 - 12*w**2 - 1 + 3/2*w**5.
(w - 1)**4*(3*w - 2)/2
Let y(s) be the third derivative of s**6/360 - s**5/360 - 9*s**2. Find n, given that y(n) = 0.
0, 1/2
Let u(d) be the second derivative of d**6/1440 - d**5/240 + d**4/96 - d**3/2 - 5*d. Let k(l) be the second derivative of u(l). Factor k(o).
(o - 1)**2/4
Suppose 3*k = -3 - 12. Let b(l) = -3*l**3 + 10*l**2 + l + 4. Let g(j) = -3*j**3 + 11*j**2 + 2*j + 5. Let z(t) = k*b(t) + 4*g(t). Suppose z(c) = 0. Calculate c.
0, 1
Suppose 3*p + 1 - 15 = j, 5*p + 3*j = 0. Solve 2*m**2 - 2/7 - 8/7*m**p - 4/7*m = 0.
-1/4, 1
Let o(h) be the first derivative of 2*h**5/45 + h**4/9 - 2*h**3/27 - 2*h**2/9 - 4. Factor o(g).
2*g*(g - 1)*(g + 1)*(g + 2)/9
Determine y, given that 2/3*y**2 - 4/3*y**3 + 2/3*y - 1/3*y**4 - 1/3 + 2/3*y**5 = 0.
-1, 1/2, 1
Suppose -2*v + 16*v**3 - 26*v**2 - 40*v**3 - 23*v**3 - 25*v**3 = 0. What is v?
-1/4, -1/9, 0
Let r(f) be the second derivative of -f**3/3 - 4*f**2 + f. Let i be r(-6). Suppose -5*h**5 + 11*h**3 - 4*h - 4*h**2 - 4*h**5 - 3*h**4 + 9*h**i = 0. Calculate h.
-2/3, 0, 1
Let y(d) be the first derivative of -2 + 0*d + 1/3*d**2 + 2/9*d**3. Let y(b) = 0. What is b?
-1, 0
Let c(p) be the third derivative of p**10/831600 - p**8/110880 + p**5/30 + p**2. Let n(u) be the third derivative of c(u). Determine q, given that n(q) = 0.
-1, 0, 1
Let j(q) be the second derivative of -2*q**6/15 + 6*q**5/5 - q**4/3 - 16*q**3 - 32*q**2 - 17*q. Factor j(o).
-4*(o - 4)**2*(o + 1)**2
Let y(q) be the second derivative of -22*q**6/15 - q**5/5 + 2*q + 4. Let y(d) = 0. What is d?
-1/11, 0
Let i be 112/84*(-6)/(-44). Suppose -32/11 + 16/11*b - i*b**2 = 0. Calculate b.
4
Let s be 2/(-8) - 652/48. Let k = s + 29/2. Factor -2*l - 13/6*l**2 - k - 1/6*l**4 - l**3.
-(l + 1)**2*(l + 2)**2/6
Let d(m) be the third derivative of -m**5/140 + m**4/56 + m**3/7 - 6*m**2. Factor d(c).
-3*(c - 2)*(c + 1)/7
Let g = -1 - -3. Suppose -s + 2 - 2*s**g + 3*s + s**2 - s = 0. What is s?
-1, 2
Let m(f) be the first derivative of -25*f**3 + 85*f**2/2 - 10*f - 18. Factor m(a).
-5*(a - 1)*(15*a - 2)
Let g = -142/7 + 291/14. What is u in -g*u + 0 + 1/2*u**2 = 0?
0, 1
Let l = 391 + -3511/9. Factor 0 - 2/9*d**5 + 8/9*d**2 + l*d**4 - 2/9*d - 4/3*d**3.
-2*d*(d - 1)**4/9
Let l(r) be the third derivative of r**9/90720 + r**8/30240 - r**7/3780 - r**5/60 + 6*r**2. Let z(t) be the third derivative of l(t). Factor z(i).
2*i*(i - 1)*(i + 2)/3
Let a(l) be the second derivative of -3*l**5/20 + l**4 + 5*l**3/2 + 23*l. Factor a(h).
-3*h*(h - 5)*(h + 1)
Let k(q) be the second derivative of q**4/54 + 4*q**3/27 + q. Factor k(l).
2*l*(l + 4)/9
Let y(w) be the third derivative of -w**5/210 - w**4/42 - w**3/21 - 6*w**2. Let y(j) = 0. What is j?
-1
Let m(v) be the third derivative of v**5/20 + 5*v**4/2 + 50*v**3 - 9*v**2. What is d in m(d) = 0?
-10
Let i be 1 - -1 - 2/(-1). Let z = -8 - -11. Factor i*f + 2 - 2*f**4 + 2*f**2 - 4*f**z - 2*f**2.
-2*(f - 1)*(f + 1)**3
Let p = -42 - -47. Let h(n) be the third derivative of 0*n - 7/80*n**p + n**2 + 0 + 1/16*n**4 + 0*n**3. Factor h(a).
-3*a*(7*a - 2)/4
Let v(k) be the second derivative of -k**6/90 + k**4/36 + 11*k. Factor v(g).
-g**2*(g - 1)*(g + 1)/3
Let r(x) = 4*x**3 - 4*x**2 - 2*x + 2. Let n = -6 - -2. Let c(u) = 5*u**3 - 5*u**2 - 3*u + 3. Let t(d) = n*c(d) + 6*r(d). Factor t(w).
4*w**2*(w - 1)
Let t be (-1)/(147/(-14) + 4). What is y in 2/13*y**4 + 2/13*y**3 - 2/13*y - t*y**2 + 0 = 0?
-1, 0, 1
What is j in j + 3*j + 0*j**2 + 4*j**2 = 0?
-1, 0
Let t(c) be the first derivative of -c**4/30 - c**3/5 - 2*c**2/5 + 5*c - 3. Let s(k) be the first derivative of t(k). Factor s(r).
-2*(r + 1)*(r + 2)/5
Let v(d) = d + 7. Let i be v(-3). Factor -t**5 - t**4 - 4*t**i + 4*t**4 - t**2 - 3*t**3 - 2*t**4.
-t**2*(t + 1)**3
What is p in 4*p**3 - 5*p + 2*p - 5*p - 4*p**2 = 0?
-1, 0, 2
Let x be 0*(15/60 + 6/(-8)). Solve 0 + 1/4*q**5 + x*q**4 - 1/2*q**3 + 1/4*q + 0*q**2 = 0 for q.
-1, 0, 1
Let v be 6*5/(10/1). Factor 5/4*k - 1/2 + 1/4*k**v - k**2.
(k - 2)*(k - 1)**2/4
Let v = -584971/9 - -65074. Let i = v + -77. Determine b so that -2/9*b**3 + 2/9*b**4 - 2/9*b**2 + 0*b + 0 + i*b**5 = 0.
-1, 0, 1
Let i(h) = h**4 + 4*h**3 - h**2 - 4*h. Let a(s) = -2*s**4 - 6*s**3 + 2*s**2 + 6*s. Let f(t) = -5*a(t) - 8*i(t). Factor f(n).
2*n*(n - 1)**2*(n + 1)
Let v(u) be the third derivative of -u**7/195 + u**6/156 + 3*u**5/130 - 5*u**4/156 - 2*u**3/39 + 39*u**2. Suppose v(o) = 0. What is o?
-1, -2/7, 1
Let u(g) be the third derivative of -g**6/60 - g**5/30 + 5*g**4/12 - g**3 + 13*g**2. Solve u(c) = 0 for c.
-3, 1
Let t(b) = -7*b**3 - 19*b**2 - 7*b. Let f(c) be the second derivative of -c**5/5 - 5*c**4/6 - 2*c**3/3 + c. Let p(n) = 11*f(n) - 6*t(n). Solve p(q) = 0.
0, 1
Let b(j) be the first derivative of -2 + 1/12*j**4 + 27/40*j**6 - 9/20*j**5 - 3*j + 0*j**2 + 0*j**3. Let n(v) be the first derivative of b(v). Factor n(x).
x**2*(9*x - 2)**2/4
Let y(a) be the second derivative of a**7/231 + a**6/165 - a**5/55 - a**4/33 + a**3/33 + a**2/11 - 4*a. Let y(b) = 0. What is b?
-1, 1
What is u in -14*u**4 + 16*u + 7*u**5 - 8 - 7*u**5 - 14*u**3 - u**5 + 7*u**5 + 30*u**2 = 0?
-1, 1/3, 2
Let r(m) be the first derivative of m**6/40 + m**5/10 + m**4/8 + m**2 + 1. Let v(i) be the second derivative of r(i). Factor v(q).
3*q*(q + 1)**2
Let q be 18/3*(-3)/9. Let b be -7 + 8 - (-1 - q). Factor -14/5*p**4 + 4/5*p - 24/5*p**3 - 6/5*p**2 + b.
-2*p*(p + 1)**2*(7*p - 2)/5
Let g(c) be the second derivative of c**7/84 - c**6/10 + 7*c**5/20 - 2*c**4/3 + 3*c**3/4 - c**2/2 - 3*c. Factor g(r).
(r - 2)*(r - 1)**4/2
Let s(z) be the second derivative of -z**7/21 - 4*z**6/15 - z**5/5 + 2*z**4/3 + z**3 + 30*z. Solve s(q) = 0 for q.
-3, -1, 0, 1
Let p(n) be the second derivative of -n**5/10 + n**4/6 + 2*n**3/3 + 4*n. Determine a, given that p(a) = 0.
-1, 0, 2
Let w(d) be the third derivative of 0*d**3 + 1/70*d**6 + 0*d**4 + 0 + d**2 - 1/490*d**7 + 0*d - 1/35*d**5. Factor w(v).
-3*v**2*(v - 2)**2/7
Solve -3*y**2 + 21/5*y - 9/5 + 3/5*y**3 = 0 for y.
1, 3
Let v be 12/(-9)*6/(-4). Let p(l) be the second derivative of 1/30*l**6 + 1/12*l**4 -