(u) = 0 for u.
-1, 0, 2
Let t(v) be the third derivative of 0*v**4 + 1/60*v**6 + 0*v**3 + 1/45*v**5 + 0*v - 2*v**2 + 0 - 1/63*v**7. Solve t(b) = 0.
-2/5, 0, 1
Suppose -d + 35 = 4*d. Let g = -7 + d. Suppose g*w**3 + 2/5*w**2 + 0*w + 0 - 2/5*w**4 = 0. What is w?
-1, 0, 1
Let x(z) be the second derivative of z**4/54 + 2*z**3/9 - 7*z**2/9 + 21*z. Factor x(y).
2*(y - 1)*(y + 7)/9
Let c = 21 + -5. Let h = 20 - c. Factor 0 + 1/2*g**h - g**3 + g - 1/2*g**2.
g*(g - 2)*(g - 1)*(g + 1)/2
Let v(t) be the third derivative of -t**6/8 + t**5/3 - 5*t**4/24 - 12*t**2. Factor v(u).
-5*u*(u - 1)*(3*u - 1)
Suppose -5*s - 12 = -8*s. Determine j, given that 8/7 - 74/7*j**2 + 158/7*j**3 - 8/7*j - 12*j**s = 0.
-2/7, 1/2, 2/3, 1
Suppose 0 = 8*q - 18*q + 20. Determine i so that 9/4*i**3 + 3/4*i**4 - 9/4*i + 3/4*i**q - 3/2 = 0.
-2, -1, 1
Find x, given that 24/5*x + 16/15 + 14/15*x**3 + 4*x**2 = 0.
-2, -2/7
Find n, given that 2/3 + 4/3*n + 2/3*n**2 = 0.
-1
Suppose 0 = 21*v - 39*v. What is i in v + 0*i - 1/5*i**3 - 1/5*i**2 = 0?
-1, 0
Let f(i) = 2*i**4 + 5*i**3 + i**2 - 5*i - 10. Let r(m) = m**4 + 2*m**3 - 2*m - 5. Let p(t) = -4*f(t) + 7*r(t). Let p(s) = 0. Calculate s.
-5, -1, 1
Suppose 0 = -2*g + 3*u + 87, 3*g + u - 129 = 4*u. Let x be g/8 - 15/(-20). Determine k, given that 4*k**4 - 9*k**2 - 3*k**4 + 2*k**4 + x*k = 0.
-2, 0, 1
Let u(d) = -d**3 + 9*d. Let w be u(-3). Let f(j) be the first derivative of 1/15*j**3 + 1/5*j**2 + w*j + 4 - 1/20*j**4. Find k such that f(k) = 0.
-1, 0, 2
Find u, given that -3/7*u - 24/7*u**4 - 9/7 + 29/7*u**2 - 16/7*u**5 + 15/7*u**3 = 0.
-1, 3/4
Let k(f) = 19*f**3 + 37*f**2 + 11*f - 1. Let n(l) = -39*l**3 - 75*l**2 - 23*l + 3. Let a(m) = 10*k(m) + 6*n(m). Factor a(h).
-4*(h + 1)**2*(11*h - 2)
Let q be 14/12 + (-3 - -2). Let k(r) be the second derivative of q*r**4 - 1/20*r**5 + 0*r**2 - 1/6*r**3 - 2*r + 0. Factor k(m).
-m*(m - 1)**2
Let j(o) be the first derivative of o**7/1155 - o**6/180 + o**5/132 + o**4/66 - 4*o**3/3 + 2. Let s(f) be the third derivative of j(f). Factor s(k).
2*(k - 2)*(k - 1)*(4*k + 1)/11
Suppose -2*y = -4*y - 10. Let r be (2/6)/(y/(-20)). Determine g, given that r + 2*g + 2/3*g**2 = 0.
-2, -1
Factor -4*w**3 + 6*w**2 + 10*w**3 + 4*w - 4*w**3.
2*w*(w + 1)*(w + 2)
Let r(g) be the third derivative of -g**9/60480 - g**8/20160 + g**5/20 + g**2. Let i(u) be the third derivative of r(u). Factor i(q).
-q**2*(q + 1)
Suppose -i**2 + 0 + 0*i + 1/2*i**3 + i**4 - 1/2*i**5 = 0. Calculate i.
-1, 0, 1, 2
Let b(u) be the second derivative of 0 + 2*u + 0*u**2 - 1/4*u**4 + 0*u**3 - 3/20*u**5. Solve b(w) = 0.
-1, 0
Let b = 12674/15 + -844. Let u = -3/5 + b. Factor 0 + 1/3*n - 2/3*n**2 + u*n**3.
n*(n - 1)**2/3
Let j be (-3)/5*(5 - 10). Let w(l) be the second derivative of -1/6*l**4 - l + 0 + 0*l**2 + 1/3*l**j. Determine b so that w(b) = 0.
0, 1
Let m be 2/(-10) - (-11)/5. Let l be 0 + 2 - -5 - m. Factor 2*f**3 + 12*f**4 + f**3 - 2*f**2 - 7*f**l - 6*f**3.
-f**2*(f - 1)**2*(7*f + 2)
Let x(y) be the second derivative of 2*y**7/21 - 2*y**6/5 + y**5/5 + y**4 - 4*y**3/3 - 13*y. Let x(o) = 0. What is o?
-1, 0, 1, 2
Suppose -16 = -0*g - 4*g. Suppose -z + g*d - 10 - 3 = 0, -5*d + 14 = -2*z. Determine u, given that -3*u + z*u - 4*u**3 - 2*u**4 - 2*u**2 = 0.
-1, 0
Let s = -116 + 118. Suppose 19/4*z**4 + 0*z + 0 - 7/4*z**5 - s*z**3 - z**2 = 0. What is z?
-2/7, 0, 1, 2
Factor 0 - 1/3*j**4 + 0*j**3 + 0*j + 0*j**2.
-j**4/3
Let d(y) be the first derivative of -5*y**6/6 - 4*y**5 - 15*y**4/2 - 20*y**3/3 - 5*y**2/2 - 8. Find p such that d(p) = 0.
-1, 0
Let s = 20/3 + -6. Let j be (7 + -8)/((6/(-4))/3). Factor -4/3 - s*b**2 - j*b.
-2*(b + 1)*(b + 2)/3
Let h(b) be the first derivative of -9*b**7/560 + b**5/20 - 4*b**3/3 - 3. Let y(w) be the third derivative of h(w). Find q, given that y(q) = 0.
-2/3, 0, 2/3
Let f(h) be the first derivative of 2*h**6/3 - 42*h**5/5 + 41*h**4 - 96*h**3 + 108*h**2 - 54*h + 52. Factor f(j).
2*(j - 3)**3*(j - 1)*(2*j - 1)
Let t = 6 + -3. Solve 2*m**2 + 4*m**2 + t*m + m = 0.
-2/3, 0
Let b be 2/(-5) - 51/(-15). Let h = 53/2 + -26. Suppose 5/4*t**2 - 3/4*t**b + 0 - h*t = 0. Calculate t.
0, 2/3, 1
Let t(y) = -y**3 + 6*y**2 - 3*y - 5. Let v be t(5). Solve -83*b**4 - 48*b**v + 6*b + 69*b**3 - 25*b**2 + 70*b**2 + 11*b**4 = 0 for b.
-2, -1/4, 0, 1
Let z(o) be the second derivative of -o**4/36 + 2*o**3/3 - 6*o**2 - 26*o. Factor z(g).
-(g - 6)**2/3
Let w = -1/20 - -1/12. Let d(y) be the third derivative of w*y**5 + 0*y + 0*y**3 + 1/180*y**6 + 1/18*y**4 + 3*y**2 + 0. Factor d(x).
2*x*(x + 1)*(x + 2)/3
Suppose 0 = 21*i - 19 - 65. Let 0*w - 2*w**5 + i*w**4 + 1/2*w**2 - 5/2*w**3 + 0 = 0. What is w?
0, 1/2, 1
Let 28/5*p**3 - 2/5*p**4 - 224/5*p - 66/5*p**2 - 128/5 = 0. What is p?
-1, 8
Let j(k) be the third derivative of k**5/8 - 3*k**4/16 - k**3/2 + 4*k**2. Factor j(x).
3*(x - 1)*(5*x + 2)/2
Let s = -56418/19 - -11006488/3705. Let y = -2/195 + s. Factor 0*r**2 + 0*r + 0 + y*r**4 + 1/3*r**3.
r**3*(4*r + 1)/3
Let v(x) be the first derivative of -x**4/26 + 8*x**3/39 - 3*x**2/13 + 3. Determine p so that v(p) = 0.
0, 1, 3
Suppose -5*f + 70 = -5*l, 0 = -f - 2*l - l + 2. Let u = 13 - f. Determine h, given that -2/7*h**u - 2/7 + 4/7*h = 0.
1
Let z = 1242 + -1240. Factor 2/3 - 1/3*s - 1/3*s**z.
-(s - 1)*(s + 2)/3
Determine i so that 80/9*i + 800/9 + 2/9*i**2 = 0.
-20
Factor 4/7*m**2 + 36/7 + 24/7*m.
4*(m + 3)**2/7
Let g(z) = 0*z + 3*z - z**2 - 3 - z. Let a(m) = -2*m**2 + 6*m - 8. Let d(u) = 3*a(u) - 8*g(u). Factor d(i).
2*i*(i + 1)
Solve 16/13*g**3 + 32/13*g - 10/13 - 2/13*g**4 - 36/13*g**2 = 0.
1, 5
Let b(m) be the second derivative of -m**7/42 + m**6/15 + 3*m**5/20 - m**4/3 - 2*m**3/3 + 11*m. Factor b(a).
-a*(a - 2)**2*(a + 1)**2
Let x(b) be the third derivative of b**5/72 + b**4/24 + b**3/36 + 4*b**2. Find r, given that x(r) = 0.
-1, -1/5
Let g(l) = 2*l**3 - 3*l**2 + 4*l + 3. Let x(y) = 3*y**3 - 5*y**2 + 8*y + 5. Let q be 1*(-3 + 0/(-1)). Let h(z) = q*x(z) + 5*g(z). Suppose h(v) = 0. What is v?
-2, 0, 2
Let u(f) be the third derivative of 2*f**2 + 0*f + 1/60*f**5 + 0 + 0*f**4 - 1/6*f**3. Factor u(c).
(c - 1)*(c + 1)
Factor 2/5*w**2 + 2/5 - 4/5*w.
2*(w - 1)**2/5
Let o(t) be the second derivative of t**8/20160 - t**7/7560 - t**6/432 - t**5/120 + t**4/6 - 3*t. Let c(y) be the third derivative of o(y). Factor c(k).
(k - 3)*(k + 1)**2/3
Let c(t) be the third derivative of t**6/1080 - t**5/180 + 2*t**3/27 + 18*t**2. Let c(l) = 0. What is l?
-1, 2
Let o(d) = d**3 - 2*d**2 - 2*d - 1. Let z be o(3). Factor -9*t + 3*t**z - 5*t**2 + 4*t**2 - 5*t**2.
-3*t*(t + 3)
Let w = 5 + -1. Factor w + o**2 + 5 + 9*o - 3*o.
(o + 3)**2
Let p(w) = w**3 + 6*w**2 + 5*w + 2. Let l be p(-5). Let -13*z + 10*z**2 + 4*z**5 - 9*z**3 - 8*z**2 + l + 21*z**2 - 2*z**3 - 5*z**4 = 0. What is z?
-2, 1/4, 1
Suppose 0 = 5*c, -p + c = -2*p + 5. Suppose -n = -p*n. What is u in -1/4*u**2 + n + 0*u = 0?
0
Let i(a) be the second derivative of -a**6/105 + a**5/70 + a**4/42 - a**3/21 - 12*a. Suppose i(u) = 0. Calculate u.
-1, 0, 1
Let s = -2 + 8/3. Suppose -2/3 - s*u**2 - 4/3*u = 0. Calculate u.
-1
Let j(f) be the third derivative of -5*f**5/12 - 5*f**4/3 + 10*f**3/3 - 21*f**2. Factor j(m).
-5*(m + 2)*(5*m - 2)
Let p = 11/34 - -3/17. Factor 0 - u**3 + 0*u - 1/2*u**2 - p*u**4.
-u**2*(u + 1)**2/2
Let l = 7/5 - 4/3. Let r(a) be the second derivative of 2*a + l*a**6 + 1/2*a**4 - 1/3*a**3 + 0*a**2 + 0 - 3/10*a**5. Factor r(f).
2*f*(f - 1)**3
Let o be 5 + (-9)/(-54)*-22. Factor -7/3*u**3 + 4*u**2 + 0 + o*u.
-u*(u - 2)*(7*u + 2)/3
Let n(h) be the first derivative of h**5/50 + h**4/20 - h**2/10 - h/10 - 2. Solve n(f) = 0 for f.
-1, 1
Suppose 0 - 1/6*v - 1/6*v**3 - 1/3*v**2 = 0. Calculate v.
-1, 0
Let m(j) be the first derivative of -j**4/18 - j**3/9 + 4*j - 3. Let t(b) be the first derivative of m(b). What is h in t(h) = 0?
-1, 0
Suppose 4*a + 26 - 10 = 0. Let f be (-3 - (-111)/15) + a. Suppose 2/5*c**5 - 4/5*c**2 + 2/5 + 2/5*c**4 + f*c - 4/5*c**3 = 0. Calculate c.
-1, 1
Let c(k) be the third derivative of -k**9/15120 - k**8/6720 - k**4/24 + k**2. Let y(x) be the second derivative of c(x). Find h, given that y(h) = 0.
-1, 0
Suppose 5*i + 2 = r, -i = i. Suppose 12 = z + 2*z. Determine b, given that 4*b + b**2 - z + b**r + 6 = 0.
-1
Suppose -19 = -4*r + 3*y, 5*r = -5*y - 1 + 16. Let a be (-1)/(-2)*r - 0. Suppose 