/3 + 4/3*v.
(v - 2)**2*(3*v + 2)/3
Let y(q) be the first derivative of -q**6/39 - 4*q**5/65 - q**4/26 - 7. Factor y(i).
-2*i**3*(i + 1)**2/13
Let m = -4635/13 - -357. Let -4/13*y - 2/13*y**3 + m*y**2 + 0 = 0. Calculate y.
0, 1, 2
Let q(m) be the second derivative of m**4/24 + m**3/3 + m**2 + 9*m. Let q(b) = 0. Calculate b.
-2
Let y(w) = -w**5 - 3*w**4 + 2*w**3 + 2*w**2 + 2*w. Let z(k) = -k**4 + k**3 + k**2 + k. Let p(n) = -3*y(n) + 6*z(n). Factor p(h).
3*h**4*(h + 1)
Let u(g) be the first derivative of g**6/1800 + g**5/200 + g**4/60 - 2*g**3 - 7. Let v(d) be the third derivative of u(d). Factor v(x).
(x + 1)*(x + 2)/5
Let b = -141/10 + 29/2. Factor 2/5 + 2/5*l**3 - b*l - 2/5*l**2.
2*(l - 1)**2*(l + 1)/5
Let j(m) be the second derivative of -m**6/60 + 3*m**5/40 - m**4/24 - m**3/4 + m**2/2 - 33*m. Let j(p) = 0. What is p?
-1, 1, 2
Let t(x) be the third derivative of x**6/80 - x**5/120 + 4*x**2. Factor t(r).
r**2*(3*r - 1)/2
Let o(j) be the third derivative of -j**5/210 + j**4/42 + 8*j**3/21 - 11*j**2. Factor o(b).
-2*(b - 4)*(b + 2)/7
Let z(b) be the first derivative of 3/8*b**3 + 0*b**4 - 3/8*b**2 - 3/40*b**5 + 3 + 0*b. Factor z(m).
-3*m*(m - 1)**2*(m + 2)/8
Let c = 3/5 - 1/10. Factor -c*j**2 + 1/2*j + 0.
-j*(j - 1)/2
Suppose -19*g = 23*g. Factor 3/4*c + 3/4*c**5 + 0 + g*c**4 - 3/2*c**3 + 0*c**2.
3*c*(c - 1)**2*(c + 1)**2/4
Factor -9/2*n**2 - 3/2*n - 27/8*n**3 - 3/4*n**4 + 0.
-3*n*(n + 2)**2*(2*n + 1)/8
Let m(n) = -20*n**2 + 6*n + 4. Let b(d) = -d**2. Let h(t) = -44*b(t) + 2*m(t). Determine l, given that h(l) = 0.
-2, -1
Let g(c) be the second derivative of -c**4/90 + c**2/15 - 27*c. Factor g(a).
-2*(a - 1)*(a + 1)/15
What is n in -1/2*n**3 - 1/2*n**4 + 0*n - 1/6*n**5 - 1/6*n**2 + 0 = 0?
-1, 0
Let p be -4 - -80 - (6 + -2). Let j = 510/7 - p. Factor 0 + 0*i + 4/7*i**4 + 0*i**2 + j*i**5 - 2/7*i**3.
2*i**3*(i + 1)*(3*i - 1)/7
Let j(u) be the first derivative of 5*u**3/2 + 9*u**2/4 - 3*u - 2. Factor j(b).
3*(b + 1)*(5*b - 2)/2
Let p(k) = 3*k**3 - 9*k**2 + 9*k - 3. Let m(l) = -18*l + 6 + 4*l**3 + 18*l**2 - l**3 - 9*l**3. Let h(a) = -5*m(a) - 9*p(a). Factor h(c).
3*(c - 1)**3
Let g(n) = -n - 3. Let k be g(-3). Let f(l) be the second derivative of l + k + 3/40*l**5 + 1/4*l**3 + 0*l**2 + 1/4*l**4. Factor f(q).
3*q*(q + 1)**2/2
Suppose 3*i + 8 = 5*i. Factor c - 5*c - 4*c**4 - 6*c**2 + 5*c**i + c**4.
2*c*(c - 2)*(c + 1)**2
Factor 5*l**4 + 4*l**3 - 6*l**2 - 5*l - 2*l**4 - 1 - 4*l**4 + 9*l.
-(l - 1)**4
Let k = -3/70 - -23/70. Factor -k*i**2 + 0*i + 2/7.
-2*(i - 1)*(i + 1)/7
Let u(g) be the first derivative of 0*g - 5/18*g**4 + 2/45*g**5 - 5 + 2/9*g**3 + 0*g**2 + 1/27*g**6. Factor u(r).
2*r**2*(r - 1)**2*(r + 3)/9
Suppose -5*l = -4*r - 8 - 10, -4*l + 4 = 2*r. Factor l*w**4 - w**3 + 4*w**2 - 2*w**3 + w**2 + 4*w**5 - w - 7*w**4.
w*(w - 1)**2*(w + 1)*(4*w - 1)
Let o(v) be the third derivative of v**7/360 + v**6/144 - v**5/60 - 3*v**4/8 - 5*v**2. Let x(g) be the second derivative of o(g). Factor x(t).
(t + 1)*(7*t - 2)
Let a(i) = -i**2 + 2*i - 9. Let t(b) = -8 + 3*b - 2*b - 3*b**2 + 2*b**2 + 0*b. Let p(g) = 5*a(g) - 6*t(g). Find m, given that p(m) = 0.
-3, -1
Suppose -12 = -8*r + 4*r. Let i(d) be the second derivative of 0 + 1/42*d**4 - d + 0*d**2 - 1/21*d**r. Factor i(z).
2*z*(z - 1)/7
Let u(o) be the second derivative of 2/3*o**2 - 1/3*o**3 + 0 + 1/18*o**4 - 3*o. What is k in u(k) = 0?
1, 2
Let g be 39/12 - 2/8. Let j = 5 - g. Solve i + i + j*i - 2*i + 2*i**2 = 0.
-1, 0
Let c(w) = w - 5. Let t be c(7). Factor x**2 - t - 3*x + 5 - 1.
(x - 2)*(x - 1)
What is p in 1/7*p**4 + 0 + 5/7*p**2 - 2/7*p - 4/7*p**3 = 0?
0, 1, 2
Let u(m) be the second derivative of m**4/48 - 2*m. Determine n, given that u(n) = 0.
0
Let h(d) be the second derivative of d**5/60 + d**4/36 - d**3/9 + 14*d. Factor h(q).
q*(q - 1)*(q + 2)/3
Find j, given that -23*j**4 - 12 - 33*j**4 - 19*j**4 + 33*j**2 + 46*j - 10*j - 90*j**3 = 0.
-1, 2/5
Let b be (1 - 0)*(5 + -5). Suppose b = 5*n - 10*n. Find z, given that -1 + n*z**3 - z**4 + 0*z**3 + 0*z**4 + 2*z**2 = 0.
-1, 1
Let p(o) = -o**4 - o**3 - o**2 + o. Let t(l) = 12*l**4 + 6*l**3 + 18*l**2 + 10*l - 18. Let u(g) = -28*p(g) - 2*t(g). Suppose u(i) = 0. Calculate i.
-3, 1
Let b = 597/4 - 26863/180. Let m(i) be the third derivative of 0 + 2*i**2 + 0*i**3 - 1/18*i**4 + b*i**5 + 0*i. Factor m(g).
2*g*(g - 2)/3
Let m(i) be the first derivative of -1/2*i**3 + 3/2*i + 3/8*i**4 - 3/4*i**2 - 6. Factor m(r).
3*(r - 1)**2*(r + 1)/2
Let u = 3 + -2. Let w be 1*10*u/8. Factor 5/4*c + 5/2*c**3 + 1/4*c**5 - w*c**4 - 1/4 - 5/2*c**2.
(c - 1)**5/4
Let c = 4 - 2. Let l be 3/(c*(-1)/(-4)). Factor -2*b**3 + b**2 + l*b - 3*b + 2*b**2 - b**3 - 3.
-3*(b - 1)**2*(b + 1)
Factor 256 + 21*u**2 + 131*u + 4*u**3 + 61*u + 26*u**2 + u**2.
4*(u + 4)**3
Let t(j) be the third derivative of j**6/1020 + j**5/85 + j**4/17 + 8*j**3/51 - 2*j**2. Factor t(v).
2*(v + 2)**3/17
Let a be 3 + 2/(4/(-22)). Let t = a + 7. Let b(p) = -2*p**2 - 2*p + 4. Let h(z) = -z**3 + z**2 + z - 1. Let x(l) = t*b(l) - 4*h(l). Factor x(q).
2*q*(q - 1)*(2*q + 1)
Solve -2/7 + 2/7*q**3 + 6/7*q - 6/7*q**2 = 0 for q.
1
Let u(t) = t**2 - 6*t + 3. Let x be u(6). Suppose 2 = -2*h, h = -x*r + 2*h + 7. Factor 2/9*s**4 + 0 + 0*s + 0*s**r + 0*s**3 - 2/9*s**5.
-2*s**4*(s - 1)/9
Let r be (-18)/5*(-10)/4. Suppose 2*g = -4*q + 6, 3*g - 6*g = -5*q - r. Factor -2/3*i**g - 2*i + 2*i**2 + 2/3.
-2*(i - 1)**3/3
Let h be 6*-2*(-21)/(-18). Let q be ((-4)/h)/(3/21). What is v in v**3 - 2*v**4 - v**4 - v + v**q + 2*v**4 = 0?
-1, 0, 1
Let j(h) be the second derivative of -h**7/2100 - h**6/225 - h**5/60 - h**4/30 - h**3/6 - 4*h. Let u(b) be the second derivative of j(b). Factor u(t).
-2*(t + 1)**2*(t + 2)/5
Let o(u) = u - 20. Let w be o(15). Let f be (6 - -1)*(-3)/w. Factor 9/5*q**2 + f*q + 6/5.
3*(q + 2)*(3*q + 1)/5
Let a = 6 - 3. Let w be (0/7)/(a + -1). Solve -2/7 + w*r + 2/7*r**2 = 0 for r.
-1, 1
Solve 0 + 3/2*y**3 + 0*y + 1/2*y**5 + 3/2*y**4 + 1/2*y**2 = 0.
-1, 0
Let h(u) = -u**2. Let l(c) = -4*c**2 + c. Let g(q) = 15*h(q) - 3*l(q). Suppose g(j) = 0. What is j?
-1, 0
What is r in -6*r - 1/2*r**3 - 3*r**2 - 4 = 0?
-2
Suppose 0 = s + 3*f - 5, 5*s - 6*s = 4*f - 6. Factor 1/4*i**s + i + 1.
(i + 2)**2/4
Let c be 2/(3 - 6 - -7). Factor 0*u**2 + 1/2*u + c*u**5 + 0 + 0*u**4 - u**3.
u*(u - 1)**2*(u + 1)**2/2
Let b(f) be the first derivative of -f**6/18 + f**5/5 - f**4/6 + 20. Factor b(c).
-c**3*(c - 2)*(c - 1)/3
Let q = -5 - -7. Suppose -q*z + 6 = 2. Suppose u**z - 4*u**2 + 4*u**2 = 0. Calculate u.
0
Let o(v) be the first derivative of v**6/360 - v**5/180 - v**4/36 + 2*v**2 - 2. Let i(k) be the second derivative of o(k). Factor i(q).
q*(q - 2)*(q + 1)/3
Determine g, given that 7/8*g**4 + 5/8*g - 9/8*g**2 + 1/4 - 5/8*g**3 = 0.
-1, -2/7, 1
Find u such that -16/13 - 14/13*u + 2/13*u**2 = 0.
-1, 8
Let a(u) be the first derivative of -2 + 1/5*u**2 + 0*u + 0*u**3 - 1/10*u**4. Determine m so that a(m) = 0.
-1, 0, 1
Let b(a) be the first derivative of -2*a**3/9 - a**2/3 + 5. Factor b(o).
-2*o*(o + 1)/3
Let w be (2/6)/((-40)/(-180)). Determine u, given that w*u**2 - 1/2*u**4 + 1/2*u - 1 - 1/2*u**3 = 0.
-2, -1, 1
Let z(j) be the third derivative of -j**6/40 + 7*j**4/72 + j**3/9 - 7*j**2. Factor z(l).
-(l - 1)*(3*l + 1)*(3*l + 2)/3
Let b be (-2)/(-9) + (-1)/(-27)*3. Suppose -1/3*o**4 - o - b*o**2 + o**3 + 2/3 = 0. Calculate o.
-1, 1, 2
Let m(a) = -2*a - 1. Let r be m(-3). Let d be 2*(4 - r/2). Factor -4/3*g**2 - 2/3*g - 2/3*g**d + 0.
-2*g*(g + 1)**2/3
Let x(z) be the third derivative of 5*z**7/168 + 13*z**6/96 + 11*z**5/48 + 5*z**4/32 + 13*z**2. Factor x(l).
5*l*(l + 1)**2*(5*l + 3)/4
Let u(z) be the second derivative of -z**5/5 + 2*z**4/3 + 2*z**3/3 - 4*z**2 - 21*z. Find s, given that u(s) = 0.
-1, 1, 2
Let i be (-16)/24 + (-23)/(-3). Suppose -2*t**2 - i*t - 9*t + 6*t - 18 - 2*t = 0. Calculate t.
-3
Let v be 2 + -3 - 26/(-18). Solve -10/9*w + v + 10/9*w**3 - 4/9*w**2 = 0 for w.
-1, 2/5, 1
Let r(n) be the third derivative of -n**6/60 - n**5/30 - 7*n**2. Factor r(j).
-2*j**2*(j + 1)
Let g(n) = 7*n + 28. Let s be g(-4). Let o be (1/(-5))/((-4)/5). Factor s - 1/4*q**2 + o*q.
-q*(q - 1)/4
Factor -1/7*v**2 + 0 + 1/7*v**4 + 0*v**3 + 0*v.
v**2*(v - 1)*(v + 1)/7
Suppose p + 0 + 17 = 0. Let l = -17 - p. Factor 2/5*c + 2/5*c**3 + 4/5*c**2 + l.
2*c*(c + 1)**2/5
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