e y, given that 0*y**3 - 1/3*y**4 + 0*y + 0*y**m + 1/3*y**5 + 0 = 0.
0, 1
What is w in 0*w - 3/2*w**3 + 0 + 3/2*w**5 - 3/2*w**2 + 3/2*w**4 = 0?
-1, 0, 1
Let i be (-1)/((-1)/(-1)) - (-144)/135. Let v(t) be the first derivative of i*t**5 + 0*t - 1/9*t**3 + 0*t**4 + 0*t**2 - 1. Let v(l) = 0. Calculate l.
-1, 0, 1
Let r(t) be the second derivative of t**6/1620 + t**5/270 + t**4/108 - t**3/3 + 4*t. Let f(y) be the second derivative of r(y). Factor f(d).
2*(d + 1)**2/9
Suppose 24*q - 80 = -16*q. Determine s, given that 0 - 2/11*s + 2/11*s**3 + 0*s**q = 0.
-1, 0, 1
Determine o so that -6*o - 2 - 3*o**3 - 13/2*o**2 - 1/2*o**4 = 0.
-2, -1
Let h(p) = 2*p**2 - 8*p - 8. Let y be h(5). Let r(w) be the third derivative of -4*w**y + 1/120*w**5 - 1/8*w**4 + 3/4*w**3 + 0 + 0*w. Factor r(q).
(q - 3)**2/2
Suppose 0 = i - 3. Let b(h) be the first derivative of 3/5*h**2 + 8/15*h**i - 2/5*h + 3. Determine y, given that b(y) = 0.
-1, 1/4
Let f(n) be the third derivative of n**7/945 - n**6/180 - n**5/90 + 11*n**4/108 - 2*n**3/9 + 5*n**2. Find r such that f(r) = 0.
-2, 1, 3
Let l(b) be the first derivative of -20/3*b**3 - b - 2*b**4 + 4 - 17/4*b**2. Suppose l(g) = 0. Calculate g.
-2, -1/4
Let f(o) be the second derivative of -o**5/40 - o**4/12 + o**3/4 - 10*o. Factor f(g).
-g*(g - 1)*(g + 3)/2
Let n be -2 - (2/(-3) + 13/(-3)). Let k(f) be the first derivative of -1/8*f**2 + 0*f - 1/12*f**3 - n. Factor k(r).
-r*(r + 1)/4
Let b be 4/10 + 6/(-15). Let g(i) be the third derivative of 1/240*i**6 + 0*i**3 + 2*i**2 + 0*i**4 - 1/60*i**5 + b*i + 0. Suppose g(f) = 0. Calculate f.
0, 2
Let i(y) be the second derivative of 1/90*y**5 - 1/36*y**4 + 2*y + 0 + 0*y**3 - 3/2*y**2. Let o(j) be the first derivative of i(j). Factor o(l).
2*l*(l - 1)/3
Let p(v) be the first derivative of 4*v**5/35 - 8*v**3/21 + 4*v/7 - 2. Factor p(q).
4*(q - 1)**2*(q + 1)**2/7
Let s(o) = -o**2 - 8*o + 2. Let c(j) = -j**3 - 6*j**2 + 9*j + 6. Let g be c(-7). Let r be s(g). Let -7*x - 6*x**r - 9*x**3 + 2 - 9*x**2 - 3 = 0. Calculate x.
-1, -1/3
Let z be (-23)/(-69)*(1 + -1). Let g(v) be the first derivative of -3 + 0*v**3 + z*v**2 + 0*v + 2/35*v**5 - 1/14*v**4. Factor g(b).
2*b**3*(b - 1)/7
Let o(x) = -18*x**4 - 18*x**3 + 18*x**2 - 12*x - 15. Let b(j) = j**4 + j**3 - j**2 + j + 1. Let z(l) = 15*b(l) + o(l). Determine y, given that z(y) = 0.
-1, 0, 1
Suppose -2/3*o**4 - 10/3*o - 4 + 14/3*o**2 + 10/3*o**3 = 0. What is o?
-1, 1, 6
Let k(y) be the third derivative of -y**6/360 - 7*y**5/360 - y**4/36 + y**3/6 + 8*y**2. Let o(p) be the first derivative of k(p). Factor o(x).
-(x + 2)*(3*x + 1)/3
Solve 2/7*q + 1/7*q**2 - 3/7 = 0.
-3, 1
Let y be 1/(-14) - (-624)/1092. Factor 1/2*l**3 + y*l + 0 + l**2.
l*(l + 1)**2/2
Let c(j) = 6*j + 0 - 1 + 0 - 7*j. Let n be c(-1). Find f, given that -2*f**3 - 2/3*f**2 + 0 + n*f + 8/3*f**4 = 0.
-1/4, 0, 1
Let b = 20 - 18. Suppose 2*h = -b*k + 6, -2*h = 4*k - 5*h - 5. Solve 2/11*n + 0 + 2/11*n**k = 0.
-1, 0
Let x be (-10)/(-35) + 38/14. Determine l so that -4*l**5 + x*l**5 - 3*l**4 - l**2 + 0*l**4 + 0*l**3 - 3*l**3 = 0.
-1, 0
Let u = 161/612 + -2/153. Let u*r**3 + 0*r**2 + 0 - 1/4*r = 0. What is r?
-1, 0, 1
Let f(y) be the third derivative of -1/330*y**5 + 1/22*y**4 - 2*y**2 - 3/11*y**3 + 0*y + 0. Factor f(r).
-2*(r - 3)**2/11
Let m(i) be the second derivative of 2*i + 0*i**4 + 0 - 1/50*i**5 + 1/5*i**3 + 2/5*i**2. Suppose m(n) = 0. What is n?
-1, 2
Suppose -p = -1, -6*p + 5 = k - p. Let x(i) be the third derivative of 1/120*i**5 + 0*i**3 + 0 + 0*i**4 - 4*i**2 + k*i. Determine g, given that x(g) = 0.
0
Let c(s) be the third derivative of s**5/12 + 5*s**4/24 + 11*s**2. Find t, given that c(t) = 0.
-1, 0
Suppose 28 = 6*a - 2*a. Suppose -2*g = -2*l - 11 - a, g = 4*l + 24. Factor 6*r + 24*r**2 + 2*r - 3*r**2 - g.
(3*r + 2)*(7*r - 2)
Let k(f) be the third derivative of 0*f**5 + 0*f**3 + 0 + 0*f**6 + 1/336*f**8 - 1/210*f**7 + 0*f - 9*f**2 + 0*f**4. Factor k(g).
g**4*(g - 1)
Factor -7/2*l + 5/3*l**2 - 1/6*l**5 + 3/2 + l**3 - 1/2*l**4.
-(l - 1)**3*(l + 3)**2/6
Let d(z) be the third derivative of z**6/240 + z**5/24 + z**4/6 + z**3/3 - 23*z**2. Suppose d(j) = 0. What is j?
-2, -1
Let x be (2/3)/(8/60). Let g = -2 + x. Factor -2*y + 0*y + 3*y + 2*y**3 - y**4 + y**3 - g*y**2.
-y*(y - 1)**3
Let w(b) be the third derivative of -5*b**8/2016 + b**7/420 + 7*b**6/720 - b**5/120 - b**4/72 - 19*b**2. Let w(m) = 0. What is m?
-1, -2/5, 0, 1
Let z(k) = 24*k**2 - 14. Suppose -p + 6 = -2*a, -5*p + p = -4*a - 20. Let j(g) = -1 + p - 5*g**2 + 0. Let v(x) = 14*j(x) + 3*z(x). Factor v(i).
2*i**2
Let p(z) be the second derivative of -z**6/90 - z**5/60 - 7*z. Factor p(w).
-w**3*(w + 1)/3
Let z(k) be the second derivative of -k**7/2100 - k**6/900 - k**3 + 6*k. Let l(c) be the second derivative of z(c). Factor l(f).
-2*f**2*(f + 1)/5
Let x(s) be the second derivative of s**4/84 + 20*s**3/21 + 200*s**2/7 - 7*s + 2. What is c in x(c) = 0?
-20
Suppose 7*r - 8 = 3*r. Suppose -r*k + 9 - 3 = 0. Let 0*p - 2*p**2 + 2/3*p**k + 8/3 = 0. Calculate p.
-1, 2
Suppose 0 + 1/2*t + 1/2*t**3 - t**2 = 0. Calculate t.
0, 1
Let z(p) be the first derivative of -p**3/15 + 2*p**2/5 - 4*p/5 + 6. Let z(r) = 0. Calculate r.
2
Let k(u) be the second derivative of -u**6/135 + 2*u**5/45 - u**4/9 + 4*u**3/27 - u**2/9 - u. Solve k(o) = 0.
1
Let b be -1 + -1 + 0/(-2). Let o = b + 9/4. Suppose 1/4*u**3 - o*u + 0 + 0*u**2 = 0. Calculate u.
-1, 0, 1
Find r such that 2*r**3 + 0*r + r**3 + 0*r + 3*r**4 = 0.
-1, 0
Let i(w) be the first derivative of -3/2*w**2 - 4 + 0*w - w**3. Factor i(t).
-3*t*(t + 1)
Let d(k) = k + 1. Let p(n) = 2*n**2 + 11*n + 9. Let o(q) = -6*d(q) - 2*p(q). Determine w, given that o(w) = 0.
-6, -1
Suppose -5 = 7*j - 4*j + m, -5*j = -2*m - 10. Factor j*p**2 - 3/4*p**5 - 3/4*p**4 + 0*p**3 + 0*p + 0.
-3*p**4*(p + 1)/4
Suppose -2*m - 5*g = 4, -g - 1 = -3*m - 5*g. Suppose 5*o + m = k + 11, 5*k = 4*o + 2. Factor 2*h + 0*h**2 - 4*h + 6*h - 2*h**k.
-2*h*(h - 2)
Determine d, given that -1/5*d**3 + 0 + 0*d + 1/5*d**2 = 0.
0, 1
Let x(d) be the second derivative of d**6/30 + 7*d**5/20 + 11*d**4/12 + 5*d**3/6 - 22*d - 1. Factor x(k).
k*(k + 1)**2*(k + 5)
Let s(n) be the third derivative of 0*n**3 + 0*n + 1/60*n**5 + 3*n**2 - 1/8*n**4 + 0. Let s(q) = 0. Calculate q.
0, 3
Let c(a) be the second derivative of 2*a**7/315 + 7*a**6/360 + a**5/90 - a**4/72 + a**2 - 5*a. Let y(s) be the first derivative of c(s). What is k in y(k) = 0?
-1, 0, 1/4
Suppose u + 12 = 2*u. Factor -2*p - u - 4*p - 2*p + 5*p**2 - p**2.
4*(p - 3)*(p + 1)
Let a(p) be the second derivative of -p**4/12 - p**3/2 + p**2 + 3*p. Let g be a(-3). Suppose -2*k**4 + 3*k**4 - g*k**2 + k**2 = 0. What is k?
-1, 0, 1
Let i = 499/63 + -61/9. Find k, given that 2*k**4 + 0 + 16/7*k**2 + 38/7*k**3 - i*k = 0.
-2, -1, 0, 2/7
Let g(j) = j. Let d(z) = -z**2 - 13*z. Let k(s) = -4*d(s) - 44*g(s). Let k(u) = 0. Calculate u.
-2, 0
Let q(y) be the second derivative of -7/75*y**6 - 1/10*y**5 + 1/15*y**4 + 4*y + 0*y**3 + 0*y**2 + 0. Find a such that q(a) = 0.
-1, 0, 2/7
Let t(k) be the second derivative of 0 - 5*k - 1/20*k**4 + 0*k**3 + 0*k**2. Factor t(f).
-3*f**2/5
Let o(h) be the first derivative of h**5/130 - h**4/26 + 5*h + 4. Let z(f) be the first derivative of o(f). Factor z(s).
2*s**2*(s - 3)/13
Let o(h) be the third derivative of -h**8/1680 - h**7/525 + h**5/150 + h**4/120 - 4*h**2. Solve o(p) = 0.
-1, 0, 1
Let n(k) = 5*k**4 - 16*k**3 + 11*k**2. Let q = -3 + 3. Let s(a) = -3*a**3 + 2*a + 2*a**2 + q*a**2 + a**4 - 2*a. Let x(t) = 4*n(t) - 22*s(t). Factor x(u).
-2*u**3*(u - 1)
Let r(q) be the second derivative of -q**4/126 + 8*q**3/63 - q + 10. Factor r(j).
-2*j*(j - 8)/21
Let z(p) be the first derivative of 4*p**3/3 - 36*p - 40. What is j in z(j) = 0?
-3, 3
Let h(l) be the first derivative of -2/21*l**3 - 4/7*l**2 - 8/7*l - 4. Factor h(v).
-2*(v + 2)**2/7
Let t(v) be the first derivative of v**6/105 - 2*v**5/35 + v**4/21 + 4*v**3/21 - 3*v**2/7 + 4*v - 9. Let a(y) be the first derivative of t(y). Factor a(l).
2*(l - 3)*(l - 1)**2*(l + 1)/7
Suppose -3/2*m + 3 + 3/2*m**3 - 3*m**2 = 0. Calculate m.
-1, 1, 2
Factor -15*i**3 + 5*i**5 + 10*i + 15*i**4 - 9*i**4 - 5*i**2 - i**4.
5*i*(i - 1)**2*(i + 1)*(i + 2)
Let t = -196/145 - 13/29. Let f = 2 + t. Solve 0 - f*h**2 - 1/5*h = 0 for h.
-1, 0
Let u(x) be the fi