vative of -5*f**6/21 - 16*f**5/35 + 2*f**4/7 - 6. Suppose s(z) = 0. What is z?
-2, 0, 2/5
Determine k so that -14/5 + 2/5*k**2 - 12/5*k = 0.
-1, 7
Suppose 0 = 4*p + p - 20. Suppose 0*q**2 - q**5 + 7*q**p - 2*q**3 + q**2 - 4*q**4 - q**3 = 0. Calculate q.
0, 1
Suppose -8 + 4 = -2*n. Let s(a) be the first derivative of -n*a**3 + 0*a**4 + 2*a**2 + 1 + 2/5*a**5 + 0*a. Factor s(k).
2*k*(k - 1)**2*(k + 2)
Let o(w) be the first derivative of -w**5/20 - w**4/12 + w**3/3 + w + 4. Let z(u) be the first derivative of o(u). Factor z(s).
-s*(s - 1)*(s + 2)
Let u = 356 - 2487/7. Let f(c) be the first derivative of -u*c**4 - 1/21*c**6 + 2/7*c**5 - 3 - 5/7*c**2 + 2/7*c + 20/21*c**3. Factor f(r).
-2*(r - 1)**5/7
Let -2*v**2 + 6*v**4 + 6*v**3 - 2 + 2*v**3 - 8*v - 2*v**2 = 0. What is v?
-1, -1/3, 1
Let b(a) be the third derivative of a**7/840 - a**5/120 - a**3/6 + 4*a**2. Let y(l) be the first derivative of b(l). Find h such that y(h) = 0.
-1, 0, 1
Find b such that -2/5 + 0*b**2 + 4/5*b**3 + 2/5*b**4 - 4/5*b = 0.
-1, 1
Let f be (52/(-234))/((-1)/6). Suppose 0 - 2/3*n**2 + f*n - 2/3*n**3 = 0. Calculate n.
-2, 0, 1
Let n(c) be the first derivative of -c**7/1365 + c**6/195 - 2*c**5/195 - c**2 - 1. Let g(d) be the second derivative of n(d). Find b, given that g(b) = 0.
0, 2
Solve -3*y**2 + 0 - 3*y - 3/4*y**3 = 0.
-2, 0
Let a be (-30)/(-7) - 2/7. Let h = 6 - a. What is g in 2*g**2 - g**2 - g**3 + g**h = 0?
0, 2
Let h be (2 + -1)*(-4)/(-56). Let t(x) be the first derivative of -h*x**4 + 1 + 0*x**3 + 0*x + 0*x**2. Factor t(o).
-2*o**3/7
Let n(h) be the second derivative of h**5/70 - h**4/21 + h**3/21 + 6*h. Determine g, given that n(g) = 0.
0, 1
What is h in 35*h + 2*h**3 - 5*h - 18 + 3*h**2 - 10*h**2 - 7*h**2 = 0?
1, 3
Let p = 4873/5 + -973. Factor -2/5*l**2 + p*l - 8/5.
-2*(l - 2)**2/5
Let c(z) be the third derivative of -z**5/270 + z**4/27 - 4*z**3/27 + 3*z**2. Factor c(g).
-2*(g - 2)**2/9
Suppose -3*y - 27 = 5*a - a, 5 = -a + y. Let u = -4 - a. Let -5*v**2 + 2*v**3 - v**u + 7*v - 11*v + 4*v**2 = 0. What is v?
-1, 0, 2
Let r(g) = 5*g**5 + 7*g**4 + 2*g**3 - 8*g**2 - g + 7. Let f(d) = -4*d**5 - 6*d**4 - 2*d**3 + 7*d**2 + d - 6. Let o(q) = -6*f(q) - 5*r(q). Factor o(x).
-(x - 1)**3*(x + 1)**2
Let c(p) be the first derivative of 7*p**7/135 - 7*p**6/180 - 4*p**5/45 - p**4/27 - p**2 - 7. Let f(o) be the second derivative of c(o). Factor f(w).
2*w*(w - 1)*(7*w + 2)**2/9
Let v(y) be the third derivative of -1/180*y**5 - y**2 - 2/9*y**3 + 0 + 1/18*y**4 + 0*y. Find z such that v(z) = 0.
2
Let r = -127 - -129. Factor 0 + 2/3*t**4 + r*t**3 + 2*t**2 + 2/3*t.
2*t*(t + 1)**3/3
Let k(r) = r**2 - 4*r + 2. Let t be k(6). Solve 4*v**3 - t*v**2 - 6 + 6*v**4 + 6 + 4*v = 0 for v.
-2, 0, 1/3, 1
Suppose 4 = 2*x - 0*x. Find l such that x*l**3 - l + 2*l - 4*l**3 + l = 0.
-1, 0, 1
Let w be (-236)/(-7) + (-6)/(-21). Suppose 3*o = 2*t + 4, 5*t + 0 = 3*o + 8. Solve 10*y**5 + 34*y**4 + w*y**3 + o*y**5 + 2*y - y**5 - y**5 + 14*y**2 = 0 for y.
-1, -1/2, -1/3, 0
Let q(o) = o**3 - 12*o**2 + 9*o + 24. Let u be q(11). Factor 2/5*r**3 - 4/5*r + 0 - 2/5*r**u.
2*r*(r - 2)*(r + 1)/5
Find f such that -15/2*f + 3/2*f**2 + 9 = 0.
2, 3
Let i(y) be the second derivative of 1/7*y**2 + 1/70*y**5 + 5*y + 0 + 1/14*y**4 + 1/7*y**3. Determine j, given that i(j) = 0.
-1
Let s(d) be the second derivative of d**7/112 - d**6/80 - 3*d**5/160 + d**4/32 - 12*d. Factor s(f).
3*f**2*(f - 1)**2*(f + 1)/8
Suppose -s - 12 = -5*s. Let o(i) be the third derivative of -1/20*i**4 - 1/15*i**s + 0*i + i**2 - 1/50*i**5 + 0 - 1/300*i**6. Factor o(w).
-2*(w + 1)**3/5
Let m(k) = k**2 - k + 2. Suppose 4 + 14 = -3*d. Let z be m(d). Solve -43*n**3 - 7/2*n - 73/4*n**2 - 16*n**5 - z*n**4 - 1/4 = 0 for n.
-1, -1/4
Let b = 3 - 1. Let t be -1*5*-2*1. Let -11*n**2 - 4*n**2 - 20*n**3 - t*n**4 - 5*n**2 - 2*n**5 - 10*n - b = 0. What is n?
-1
Let h(a) be the third derivative of -a**5/15 + 8*a**3/3 - 2*a**2. Solve h(j) = 0 for j.
-2, 2
Let c(v) = -v + 7. Suppose 3 - 23 = -4*g. Let r be c(g). Factor -1/5*j + 0 + 1/5*j**r.
j*(j - 1)/5
Factor -5*v**5 + 5*v**3 - 5*v**4 + 17*v**3 - 15*v**2 + 3*v**3.
-5*v**2*(v - 1)**2*(v + 3)
Let n(z) = -2*z**2 + 10*z + 15. Let g be n(6). Let 0 - 1/3*s**g + 0*s**2 + 1/3*s = 0. What is s?
-1, 0, 1
Let m = -15/7 + 103/35. Factor -6/5*n + 2/5*n**3 + 0*n**2 + m.
2*(n - 1)**2*(n + 2)/5
Let i(f) = -5*f**3 - 21*f**2 + 11*f + 11. Let m(q) = -q**3 - 4*q**2 + 2*q + 2. Let g be (3 - 3) + 1 - -10. Let k(v) = g*m(v) - 2*i(v). Solve k(l) = 0 for l.
-2, 0
Let n(i) = -9*i**4 - 3*i**3 + 2*i**2 + 10*i - 7. Let w(h) = h**4 - h**3 + 1. Let r(q) = -2*n(q) - 14*w(q). Find o, given that r(o) = 0.
-5, -1, 0, 1
Let c(r) be the third derivative of r**5/20 - r**4/6 - r**3/3 + 13*r**2. Let t be c(2). Let 1/4*m**3 + m**t + 1/2 + 5/4*m = 0. What is m?
-2, -1
Let a(j) be the first derivative of -j**6/14 - 3*j**5/35 + 3*j**4/28 + j**3/7 - 7. Let a(g) = 0. Calculate g.
-1, 0, 1
Let a be (335/14)/5 - 12/42. Factor 9/2*w + 3*w**2 + 3/2 - 3/2*w**5 - a*w**4 - 3*w**3.
-3*(w - 1)*(w + 1)**4/2
Let c be (-8)/(-64) - (-1 + 7/8). Factor 3/2*g + c*g**2 + 9/4.
(g + 3)**2/4
Let j(m) be the second derivative of -m**5/10 - m**4/6 + 4*m**3/3 + 4*m**2 + 7*m. Factor j(n).
-2*(n - 2)*(n + 1)*(n + 2)
Suppose -3*h - 8 = -m, -5*m + 8 = 2*h - h. Suppose 4*d - 2*d = -m*q, -d - 5*q = 20. Factor 3/5*o**d + 0*o**2 + 0 - 2/5*o**3 + 0*o - 1/5*o**4.
o**3*(o - 1)*(3*o + 2)/5
Let i(k) be the third derivative of 1/120*k**4 + 1/1050*k**7 - 1/600*k**6 - 1/300*k**5 + 0*k + 0 - 2*k**2 + 0*k**3. Let i(r) = 0. What is r?
-1, 0, 1
Let n be (-10)/35 - (-6)/21. Determine p, given that n - 1/3*p + 1/3*p**2 = 0.
0, 1
Let h = 864 + -862. Factor -8/5*j - 2/5*j**h - 8/5.
-2*(j + 2)**2/5
Let j(q) = 3*q**2 + 41*q - 167. Let w(m) = -8*m**2 - 122*m + 500. Let z(s) = 14*j(s) + 5*w(s). Factor z(y).
2*(y - 9)**2
Suppose -n - 56 = 52. Let v be (n/(-63))/((-2)/(-4)). Factor -v*q - 12/7*q**2 - 16/7 - 2/7*q**3.
-2*(q + 2)**3/7
Let s(l) be the first derivative of -5*l**4/4 - 10*l**3 - 55*l**2/2 - 30*l - 42. Factor s(o).
-5*(o + 1)*(o + 2)*(o + 3)
Let t(q) be the first derivative of q**4 + 16*q**3/3 + 10*q**2 + 8*q + 5. Factor t(b).
4*(b + 1)**2*(b + 2)
Let y(r) be the third derivative of 0*r**7 + 1/30*r**6 + 0 - 1/12*r**4 + 0*r**3 + 0*r + 0*r**5 + r**2 - 1/168*r**8. Factor y(g).
-2*g*(g - 1)**2*(g + 1)**2
Let t(q) be the first derivative of -q**4/8 + 3*q**3/2 - 5*q**2 + 6*q - 23. Factor t(k).
-(k - 6)*(k - 2)*(k - 1)/2
Let m(c) = c**4 - c**3 + c**2 + c + 1. Let h(t) = t + 5. Let b be h(-6). Let u(w) = 2*w**4 - 3*w**3 + 6*w**2 + 5*w + 3. Let i(v) = b*u(v) + 3*m(v). Factor i(n).
n*(n - 2)*(n + 1)**2
Factor -2/9*s**4 - 128/3*s**2 - 16/3*s**3 - 1024/9*s + 0.
-2*s*(s + 8)**3/9
Let h be (3 - 0)/(-2 - -3). Factor 0*u - u**4 + 0*u + 2*u**h + 0*u.
-u**3*(u - 2)
Factor 4/9*l + 4/9 - 1/3*l**2.
-(l - 2)*(3*l + 2)/9
Suppose 0 = -3*n - 4*u - 0 - 2, -2*n - 2*u = 0. Suppose 15 = n*k + 4*f - 11, 3 = -k + 2*f. Let -t - 2*t**4 + t**k + 3*t**2 + 0*t**2 - t**2 = 0. Calculate t.
-1, 0, 1
Let l(w) be the third derivative of 1/6*w**3 + 3*w**2 + 1/30*w**5 + 1/240*w**6 + 0*w + 0 + 5/48*w**4. Factor l(p).
(p + 1)**2*(p + 2)/2
Solve 0*z + 0 - 1/2*z**4 + 0*z**2 - z**3 = 0.
-2, 0
Let i(r) be the third derivative of r**5/120 - r**4/24 + r**3/12 + 9*r**2. Solve i(p) = 0.
1
Factor -229*z**2 - 3*z**5 - 2*z**4 + 0*z**3 + 232*z**2 - z**4 + 3*z**3.
-3*z**2*(z - 1)*(z + 1)**2
Suppose 84/5*u**5 + 2/5*u - 4/5 - 122/5*u**4 + 54/5*u**2 - 14/5*u**3 = 0. Calculate u.
-1/2, -1/3, 2/7, 1
Let m be 21/18 + 2/(-4). Factor 2/3*y**2 + 4/3*y + m.
2*(y + 1)**2/3
Let z(o) = o + 1. Let g be z(-3). Let f be g/3*(-9)/2. Let t(u) = -u**2 + 1. Let q(x) = x**2 + x + 3. Let w(y) = f*t(y) - q(y). Factor w(s).
-s*(4*s + 1)
Let o(i) be the second derivative of -i**4/84 + 2*i**3/21 - 2*i**2/7 - 21*i. Factor o(r).
-(r - 2)**2/7
Let s(j) be the third derivative of -1/10*j**5 + 0 - 1/20*j**6 + j**2 + 0*j**3 - 1/12*j**4 - 1/105*j**7 + 0*j. Factor s(q).
-2*q*(q + 1)**3
Let -4/7*k - 6/7 + 2/7*k**2 = 0. What is k?
-1, 3
Suppose 1/3*v**2 + 1/3*v**3 - 5/3*v + 1 = 0. What is v?
-3, 1
Let u = 12 - 11. Let -u - 1/2*q + 1/2*q**2 = 0. Calculate q.
-1, 2
Let u(x) be the first derivative of x**4/4 + x**3 - 4*x + 24. Determine n, given that u(n) = 0.
-2, 1
Let t(f) be the second derivative 