termine a so that 1/4*a**3 - 1/4*a**h + 0 + 1/4*a**4 - 1/4*a**5 + 0*a = 0.
-1, 0, 1
Let n be (-20)/(-130) + (-4)/26. Factor 0*b**2 + 0 - 1/4*b**4 + n*b + 0*b**3.
-b**4/4
Let q = 533/9 + -59. Let a(r) be the first derivative of 4/3*r**2 + 1 - q*r**3 - 8/3*r. Determine w, given that a(w) = 0.
2
Let y(a) = a**3 + 11*a**2 + 14*a - 8. Let b be y(-10). Let o be (-3)/(-8)*(-160)/b. Factor 2*x - o*x**2 + 1/4*x**3 - 1.
(x - 2)**2*(x - 1)/4
What is z in -75*z + z**3 - 4*z**3 + 69*z - 9*z**2 = 0?
-2, -1, 0
Let w = -6 + 10. Let m(a) be the second derivative of 0 - 1/12*a**w + a - 1/3*a**3 - 1/2*a**2. Factor m(v).
-(v + 1)**2
Let p(w) be the first derivative of 1/20*w**5 + 2 + w - 1/24*w**3 - 1/16*w**4 + 0*w**2. Let z(i) be the first derivative of p(i). Let z(s) = 0. What is s?
-1/4, 0, 1
Factor -2*w**2 + 14*w**2 - 4*w**4 + 79*w**3 - 87*w**3.
-4*w**2*(w - 1)*(w + 3)
Let a(p) be the second derivative of -4*p**7/273 + 7*p**5/130 - p**4/78 - p**3/13 + p**2/13 - 2*p. Find i such that a(i) = 0.
-1, 1/2, 1
Let f(y) be the third derivative of y**6/900 - y**5/100 + y**4/30 - y**3/3 + 4*y**2. Let h(q) be the first derivative of f(q). Factor h(s).
2*(s - 2)*(s - 1)/5
Let j(o) be the first derivative of -o**6/600 + o**5/100 - o**4/40 - o**3 - 1. Let c(v) be the third derivative of j(v). Factor c(z).
-3*(z - 1)**2/5
Let c(r) be the second derivative of -r**2 - 1/36*r**4 + 0 - 1/90*r**5 - r + 2/9*r**3. Let m(t) be the first derivative of c(t). Suppose m(x) = 0. Calculate x.
-2, 1
Let w = 19 - 17. Let j(a) be the first derivative of 0*a**2 + w - 1/3*a**3 + 0*a. Suppose j(z) = 0. Calculate z.
0
Let a(b) be the first derivative of -b**4/12 - 5*b**3/9 - 7*b**2/6 - b - 4. Find y, given that a(y) = 0.
-3, -1
Determine c so that 1 + 10*c - 4 - c**3 - 5*c - c**2 = 0.
-3, 1
Determine d, given that -54*d**3 - 50*d**2 + 5*d + 50 + 108*d**3 - 59*d**3 = 0.
-10, -1, 1
Let s(o) be the second derivative of -o**6/120 - 3*o**5/80 - o**4/16 - o**3/24 - 7*o. Find j such that s(j) = 0.
-1, 0
Let c = -62/7 - -1564/175. Let r(y) be the first derivative of -1/10*y**4 + 0*y + 2/15*y**3 - 1 + 1/5*y**2 - c*y**5. Factor r(p).
-2*p*(p - 1)*(p + 1)**2/5
Let t(b) = -9*b**3 + 15*b**2 + 4*b - 2. Let v(r) = 18*r**3 - 30*r**2 - 7*r + 5. Let k(f) = -5*t(f) - 2*v(f). Factor k(n).
3*n*(n - 2)*(3*n + 1)
Let l(r) = -550*r**5 + 175*r**4 - 45*r**3 + 45*r**2. Let g(o) = -25*o**5 + 8*o**4 - 2*o**3 + 2*o**2. Let q(k) = -45*g(k) + 2*l(k). Find t, given that q(t) = 0.
0, 2/5
Let b(j) be the first derivative of 2*j**5/5 - 2*j**3 + 2*j**2 + 6. Solve b(o) = 0 for o.
-2, 0, 1
Let v(d) be the third derivative of -d**5/15 + d**4 - 4*d**2 + 1. Determine f so that v(f) = 0.
0, 6
Let j(r) be the third derivative of r**7/1050 + r**6/450 - 7*r**3/6 + 2*r**2. Let h(d) be the first derivative of j(d). Factor h(n).
4*n**2*(n + 1)/5
Let v = 1/1079 + 2125/35607. Let j(g) be the first derivative of 0*g - 1/11*g**2 + 1 - v*g**3. Find n such that j(n) = 0.
-1, 0
Let w(o) = o**2 - 5*o - 2. Let v = 7 - 1. Let i be w(v). Factor -2*l**4 - 3*l**5 + l**i - 2*l**4.
-3*l**4*(l + 1)
Let i(s) be the second derivative of -s**3/6 + s**2/2 - s. Let r be i(1). Factor r*n - 2/5*n**2 + 0.
-2*n**2/5
Let i(x) be the third derivative of 0 - 1/240*x**5 - 2*x**2 + 1/48*x**4 + 0*x + 0*x**3 - 1/160*x**6. Determine h, given that i(h) = 0.
-1, 0, 2/3
Factor -7*k - 3*k + 16*k**2 + 6*k**2 - 12*k**3 + 6*k**3 - 6.
-2*(k - 3)*(k - 1)*(3*k + 1)
Let s = 4 - 4. Suppose s = -0*w - 2*w + 10. Factor 4 + 4*y**2 - w*y**2 - 3.
-(y - 1)*(y + 1)
Find d such that -26/3*d**3 - 16/3*d**2 + 0 + 28/3*d**4 + 8/3*d + 10*d**5 = 0.
-1, 0, 2/5, 2/3
Let u(j) be the first derivative of 2*j**3/39 + 11*j**2/13 - 24*j/13 + 23. Factor u(c).
2*(c - 1)*(c + 12)/13
What is l in 0*l + 1/2*l**4 - 1/2*l**3 + 0*l**2 + 0 = 0?
0, 1
Let m(c) be the second derivative of 0 - 2/45*c**5 + 1/18*c**4 + 2*c + 0*c**2 + 1/27*c**3. Factor m(v).
-2*v*(v - 1)*(4*v + 1)/9
Suppose -t + 4*t - 15 = 0. Let s(i) = 22*i**2 + 2*i + 12. Let o(v) = -9*v**2 - v - 5. Let y(n) = t*s(n) + 12*o(n). Solve y(d) = 0 for d.
0, 1
Let u(s) be the first derivative of -s**5/10 + 5*s**4/12 - s**3/3 + 3*s + 2. Let v(o) be the first derivative of u(o). Factor v(i).
-i*(i - 2)*(2*i - 1)
What is p in -6*p**4 + 4*p**4 + 4*p**4 = 0?
0
Let y(b) = b**2 - 8*b + 17. Let z be y(3). Factor 2/7*w**4 - 2/7*w**5 + 0*w + 0 - 2/7*w**z + 2/7*w**3.
-2*w**2*(w - 1)**2*(w + 1)/7
Let i = 17 - 8. Suppose i - 24 = -5*h. Factor -2*j**2 + h*j**2 - 5*j - 2 + 4*j.
(j - 2)*(j + 1)
Let a = -2 - -4. Factor -7*u + 2*u**a + 0*u**2 + 7*u.
2*u**2
Suppose 2*x - 4 = x. Factor -2*i**2 - 3*i**5 + 2*i**3 - 3*i + i**4 - 1 + 2*i**x + 4*i**5.
(i - 1)*(i + 1)**4
Let y = 469 + -18759/40. Let r(b) be the second derivative of -1/30*b**6 + 0*b**3 + 0*b**4 - y*b**5 - 1/84*b**7 + 2*b + 0 + 0*b**2. Factor r(d).
-d**3*(d + 1)**2/2
Let p = 37 + -1. Let d be (-1)/(-3) + 4/p. What is r in -2/9*r + 0 - 2/9*r**3 - d*r**2 = 0?
-1, 0
Let h(i) be the first derivative of 2 + 2/21*i**3 + 3/14*i**4 - 2/7*i - 3/7*i**2. Let h(j) = 0. Calculate j.
-1, -1/3, 1
Let d be 25 - -2*(-1)/1. Let c be (-1 - d/(-21))*9. Let -4/7 - c*g + 0*g**2 + 2/7*g**3 = 0. Calculate g.
-1, 2
Let l(z) be the first derivative of -z**3/5 - 3*z**2/2 - 12*z/5 - 10. Factor l(d).
-3*(d + 1)*(d + 4)/5
Let h(k) be the second derivative of -3*k**6/40 - k**5/4 + k**4/2 + 2*k**3 + k**2/2 + 4*k. Let v(g) be the first derivative of h(g). Factor v(s).
-3*(s - 1)*(s + 2)*(3*s + 2)
Let u(z) be the third derivative of -3/8*z**4 - 3/40*z**6 + 7/30*z**5 + 1/105*z**7 + 1/3*z**3 + 0*z + 0 + 3*z**2. Factor u(o).
(o - 2)*(o - 1)**2*(2*o - 1)
Factor 26*b**3 + 8*b - 35*b**4 + 2*b**5 + 25*b**4 + 22*b**4 + 24*b**2.
2*b*(b + 1)**2*(b + 2)**2
Let t(y) = 6*y**2 + 2*y + 4. Let q(i) = 5*i**2 + 2*i + 3. Let x be -2*(0 - (-3)/2). Let s(p) = x*t(p) + 4*q(p). Factor s(h).
2*h*(h + 1)
Let k = 23 + -27. Let n be k/50*(0 - 5). Factor 2*d**2 + n*d**4 + 0 - 8/5*d**3 - 4/5*d.
2*d*(d - 2)*(d - 1)**2/5
Suppose 5*o - 20 = 0, -5*x + 0*o = -5*o + 15. Let l(g) be the first derivative of -1/2*g**4 - 4/3*g**3 + 0*g**2 + 0*g + x. Solve l(u) = 0.
-2, 0
Let l(i) = i**4 - 3*i**3 + 17*i**2. Let n(d) = -4*d**4 + 8*d**3 - 52*d**2. Let a(c) = -16*l(c) - 5*n(c). Suppose a(u) = 0. Calculate u.
-3, 0, 1
Suppose m + 7 = -5*s, 7*m + 5*s = 4*m - 1. What is n in -2*n**2 - 2*n**3 - 2*n**4 + 7*n**m + n**5 - 2*n**4 = 0?
0, 1, 2
Suppose -8*s = -4*s - 56. Suppose -4*z = -5*j + 18, 0*z = -2*j + 5*z + s. Factor 0 + 1 + 9*l + 27*l**2 - j - 5.
3*(3*l - 1)*(3*l + 2)
Let -8*w - 10*w**3 - 8/5 - 14*w**2 - 12/5*w**4 = 0. Calculate w.
-2, -1, -2/3, -1/2
Let g be -1 + 5 + 6/(-3). Solve 3 + 4 - 6 - 8*a**3 + 16*a**g - 10*a + 1 = 0.
1/2, 1
Let d be 2 - (-4 + (-3 - 0)). Suppose -d*l + 4*l + 10 = 0. Let -v**3 + v**4 + v - 4*v + l*v - v**2 + 2*v**3 = 0. Calculate v.
-1, 0, 1
Let s(a) be the third derivative of 0*a**3 + 0 + 0*a**5 + 0*a + 1/504*a**8 + 1/36*a**4 + a**2 + 0*a**7 - 1/90*a**6. Factor s(y).
2*y*(y - 1)**2*(y + 1)**2/3
Let a(j) be the third derivative of -5/12*j**4 + 0*j + 2*j**2 + 0 - 1/60*j**6 - 2/15*j**5 - 2/3*j**3. Factor a(k).
-2*(k + 1)**2*(k + 2)
Let c(k) be the second derivative of -k**4/36 - k**3/18 - 2*k. Solve c(h) = 0.
-1, 0
Let t(c) be the third derivative of c**8/70560 - c**7/5880 + c**6/1260 + c**5/60 + 2*c**2. Let q(w) be the third derivative of t(w). Factor q(b).
2*(b - 2)*(b - 1)/7
Let h(p) = -p**3 + 4*p**2 - p - 2. Let o be h(3). Factor -1 - 4*b**2 + o*b + 2 + 7.
-4*(b - 2)*(b + 1)
Let v(h) be the second derivative of h - 3*h**3 - 27/2*h**2 + 0 - 1/4*h**4. Determine z, given that v(z) = 0.
-3
Let d(s) be the first derivative of 2*s**6/75 + 7*s**5/50 + 3*s**4/10 + s**3/3 + s**2/5 + 3*s - 1. Let j(t) be the first derivative of d(t). Factor j(o).
2*(o + 1)**3*(2*o + 1)/5
Let v = 14 + -9. Suppose 3*a**2 + 3*a**3 + 6*a**3 + 3*a**v + 8*a**4 + a**4 = 0. What is a?
-1, 0
Let w(g) = -3*g**2 - 13*g - 10. Let p(l) = l**2 + 4*l + 3. Let o(m) = -14*p(m) - 4*w(m). Let o(b) = 0. What is b?
-1
Suppose 3*y - 2*v = -0*y + 17, -5*y + 5*v + 35 = 0. Let w(h) be the first derivative of 1/2*h**2 + 1/4*h**4 - 1/4*h - 1/2*h**y - 1 - 1/20*h**5. Factor w(n).
-(n - 1)**4/4
Let k(z) be the second derivative of -z**5/30 + z**4/12 + 2*z**3/3 - 2*z**2 - z. Let r(p) be the first derivative of k(p). Find d su