20/9*c**2 + 2/9*c**5 = 0?
0, 1, 2, 5
Let a(z) be the third derivative of 1/180*z**5 + 0*z + 0 - 1/18*z**3 + 3*z**2 + 0*z**4. Let a(p) = 0. Calculate p.
-1, 1
Let y(a) be the first derivative of -1/30*a**6 + 1/15*a**3 - 2 + 0*a**2 + 0*a - 1/25*a**5 + 1/20*a**4. Let y(g) = 0. Calculate g.
-1, 0, 1
Let t(k) be the third derivative of k**6/360 - k**3/6 - 5*k**2. Let h(p) be the first derivative of t(p). Determine n, given that h(n) = 0.
0
Let o(q) = -q**4 - q**3 + q**2 + q. Let g(b) = -30*b**4 - 10*b**3 + 10*b**2 + 30*b. Let p(n) = g(n) - 25*o(n). Factor p(r).
-5*r*(r - 1)**3
Solve 2*y**3 - 2*y**2 - 14 - 8*y**2 + 8 + 14*y = 0.
1, 3
Let l(k) be the third derivative of k**10/25200 + k**9/4320 + k**8/5040 + k**5/15 + 7*k**2. Let m(c) be the third derivative of l(c). Factor m(b).
2*b**2*(b + 2)*(3*b + 1)
Let v(h) be the first derivative of -h**5/5 + h**3 - h**2 + 12. Solve v(t) = 0.
-2, 0, 1
Let h(x) be the second derivative of -x**4/12 - x**3/6 + 26*x. Suppose h(w) = 0. Calculate w.
-1, 0
Let z(f) = -3*f**2 + 4*f + 7. Let q(g) = -g**2 + 1. Let y(o) = 12*q(o) - 3*z(o). Factor y(j).
-3*(j + 1)*(j + 3)
Let i = 5 - 1. Suppose -2*c - 4 = 0, -5*g = -5*c - 17 - 3. Find v, given that v + 2 + v**3 + 0*v**g - i*v**3 - 4*v**2 = 0.
-1, 2/3
Let l(z) be the second derivative of -z**6/6 + z**5/10 + 8*z. Factor l(d).
-d**3*(5*d - 2)
Let r(a) be the first derivative of 4*a + 10/3*a**3 - 7*a**2 + 1. What is v in r(v) = 0?
2/5, 1
Factor -3/4*q + 0 - 1/4*q**2.
-q*(q + 3)/4
Let n(y) = -y**2 - 3*y**3 + 0*y - 2*y + y + 5*y**4. Let c(q) = q**4 - q**3. Let x(b) = -4*c(b) + n(b). Factor x(f).
f*(f - 1)*(f + 1)**2
Let d(v) be the first derivative of -v**6/12 - v**5/10 + v**4 + 2*v**3 + 11. Find a, given that d(a) = 0.
-2, 0, 3
Suppose 0 = t - 1 - 1. Let c = t + 0. Factor c - l**2 + 0*l**3 - 5*l**2 + 4*l**3.
2*(l - 1)**2*(2*l + 1)
Factor -2*l**2 - 12 + 0*l**2 + 11*l**2 - 12*l.
3*(l - 2)*(3*l + 2)
Let q(w) be the first derivative of 2*w**3/9 + 8*w**2/9 - 2*w/3 + 3. What is k in q(k) = 0?
-3, 1/3
Let 8/7*v**2 + 18/7*v + 4/7 = 0. Calculate v.
-2, -1/4
Let g(k) be the second derivative of k**5/50 - k**4/30 + 6*k. Let g(q) = 0. Calculate q.
0, 1
Let g(o) be the first derivative of 10*o**3 + 14/5*o**5 - 19/2*o**4 - 4*o - o**2 + 3. Solve g(a) = 0 for a.
-2/7, 1
Factor 4/3*f**2 + 0 + 4/3*f.
4*f*(f + 1)/3
Let c(x) = -x**5 - x**4 - x**3 - x + 1. Let y(d) = 2*d**5 + d**3 + 3*d - 3. Let z be -5 - -10 - 2*1. Let g(w) = z*c(w) + y(w). Factor g(p).
-p**3*(p + 1)*(p + 2)
Let a(n) = -n**2 - 2*n. Let p be a(-2). Suppose 5*s + 10 = 0, x - s = -2*s. Let 0*b + p - 2/5*b**x = 0. Calculate b.
0
Solve 0 + 12/7*m**3 + 3/7*m**4 + 9/7*m**2 + 0*m = 0.
-3, -1, 0
Factor -32/9 - 2/9*o**2 + 16/9*o.
-2*(o - 4)**2/9
Let z(b) be the second derivative of -7*b**7/3060 + 7*b**6/1530 - b**5/255 - b**4/3 - 6*b. Let m(p) be the third derivative of z(p). Solve m(d) = 0.
2/7
Suppose 2*q + 2*q - 8 = 0. Suppose -2*b - q*b - 2*x = 2, -b - 5*x - 23 = 0. Factor -24*h**3 + 0*h**2 - b - h**2 - 9*h**2 + 12*h.
-2*(h + 1)*(3*h - 1)*(4*h - 1)
Let y(t) be the third derivative of 0 + 0*t - t**2 - 1/90*t**5 - 1/18*t**3 + 1/720*t**6 + 5/144*t**4. Factor y(i).
(i - 2)*(i - 1)**2/6
Let x(f) be the second derivative of 0 - 1/10*f**5 + 0*f**2 + 5/42*f**4 + 2/21*f**3 + 3*f. Determine j, given that x(j) = 0.
-2/7, 0, 1
Let p(f) be the third derivative of f**5/20 + 19*f**4/56 - 3*f**3/7 - 15*f**2. Factor p(o).
3*(o + 3)*(7*o - 2)/7
Find z such that 2/5*z**2 - 4/5 + 2/5*z = 0.
-2, 1
Let r(x) be the third derivative of -5*x**8/336 - x**7/14 + x**5/3 + 22*x**2. Factor r(y).
-5*y**2*(y - 1)*(y + 2)**2
Let n(g) be the third derivative of -g**8/112 + g**7/40 - g**6/60 + g**3/3 - 5*g**2. Let s(q) be the first derivative of n(q). What is a in s(a) = 0?
0, 2/5, 1
Let b(g) be the first derivative of -g**3/3 - g - 1. Let r(a) = 11*a**2 + 22*a - 3. Let i(z) = 14*b(z) - 2*r(z). Find y, given that i(y) = 0.
-1, -2/9
Let v(c) = -3*c - 5. Let r be v(-4). Let z be 29/3 - (r + -4). Find i such that -4/3 - z*i - 25/3*i**2 = 0.
-2/5
Suppose 9*z + 10 = 14*z. Factor 0 + 2/9*q**4 + 0*q + 4/9*q**3 + 2/9*q**z.
2*q**2*(q + 1)**2/9
Suppose n = -0*n + 2. Suppose 3*p - p - 4 = 0. Factor -3*s + 5*s - s**n - s**p.
-2*s*(s - 1)
Let c(f) be the second derivative of 0 + 1/5*f**5 - 2/3*f**3 - 2*f + 0*f**2 + 1/6*f**4 - 1/15*f**6. Factor c(t).
-2*t*(t - 2)*(t - 1)*(t + 1)
Determine h so that 4*h**5 - 14*h**3 + 20*h**3 - 10*h**3 = 0.
-1, 0, 1
Let h(q) = -4*q**2 + 5*q + 4. Let x(r) = 4*r**2 - 4*r - 4. Let d(f) = 4*h(f) + 5*x(f). Determine a, given that d(a) = 0.
-1, 1
Let t(p) be the second derivative of -p**8/5040 - 5*p**3/6 - 7*p. Let m(w) be the second derivative of t(w). Factor m(v).
-v**4/3
Suppose 2*l + 4*l = 0. Let x(s) be the second derivative of 1/80*s**5 + 0*s**3 + 1/48*s**4 + l*s**2 + 0 - s. Factor x(t).
t**2*(t + 1)/4
Let k(i) be the first derivative of 1/10*i**5 - 1/2*i + 1/2*i**2 - 1/4*i**4 + 1 + 0*i**3. Suppose k(l) = 0. What is l?
-1, 1
Suppose 2*l + 2 = 4*z - 12, -z - 1 = l. Factor -2/3*d**3 - 4/3*d + 0 + z*d**2.
-2*d*(d - 2)*(d - 1)/3
Let s = 139 + -139. Factor 0 + 1/3*l**4 + 0*l**2 - 1/3*l**3 + s*l.
l**3*(l - 1)/3
Let g(u) be the second derivative of -u**4/4 - 2*u**3 - 16*u. Factor g(j).
-3*j*(j + 4)
Let p = -778/7 + 52140/469. Let i = p - -61/201. Solve 0 + 5*s**3 + 7/3*s**2 + i*s + 13/3*s**4 + 4/3*s**5 = 0 for s.
-1, -1/4, 0
Let t(w) be the first derivative of 7*w**6/24 + 9*w**5/20 + w**4/8 + 13. Determine z, given that t(z) = 0.
-1, -2/7, 0
Let v(n) be the third derivative of -n**9/3024 - n**8/1680 + n**7/840 + n**6/360 + 2*n**3/3 - 2*n**2. Let p(f) be the first derivative of v(f). Factor p(u).
-u**2*(u - 1)*(u + 1)**2
Let z be (-1 - -3) + (-2)/(-2). Suppose -2*d = 4*s - 6, 3*d = -z*s - 1 + 4. Factor -2/5*i + 0 + 0*i**s + 0*i**4 + 4/5*i**3 - 2/5*i**5.
-2*i*(i - 1)**2*(i + 1)**2/5
Let f(u) = u**2 - u - 5. Let d be f(-4). Factor -1 - 8*g + 14*g**4 + 4*g**3 - d*g**2 - 10*g**4 + 4*g**3 + 12*g**4.
(g - 1)*(g + 1)*(4*g + 1)**2
Suppose s - 7 = 5*n, 9 = 5*s + n - 0*n. Solve 0 + 2/7*g**4 + 2/7*g**s + 0*g - 4/7*g**3 = 0.
0, 1
Let d be (-3)/(-2)*(-252)/(-315). Factor 3/5*j + 0 - d*j**2 + 3/5*j**3.
3*j*(j - 1)**2/5
Determine c so that 9*c - 4 - 30*c**4 - 288*c**5 + 23*c - 344*c**3 + 28*c**2 + 127*c**4 - 721*c**4 = 0.
-1, -1/2, 1/6
Let l(f) = -2*f - 1. Let t be l(0). Let a be (-6 - -6)/((-4)/t). Factor -2/3*x + 2/3*x**2 + 2/3*x**3 - 2/3*x**4 + a.
-2*x*(x - 1)**2*(x + 1)/3
Let g(k) be the third derivative of 0 + 0*k**3 - 1/60*k**5 - 3*k**2 + 1/120*k**6 + 0*k**4 + 0*k. Let g(z) = 0. What is z?
0, 1
Let x = 142/5 - 124/5. Factor 27/5 + 3/5*h**2 + x*h.
3*(h + 3)**2/5
Solve -16*q**3 + 8*q**2 + 0*q**2 - 20*q**4 + 4*q**3 + 0*q**2 = 0 for q.
-1, 0, 2/5
Let d(g) be the second derivative of -g**6/1980 + g**3/6 + 7*g. Let l(u) be the second derivative of d(u). Determine r so that l(r) = 0.
0
Let c(z) be the first derivative of z**6/8 + z**5/10 - 3*z**4/16 - z**3/6 - 1. Suppose c(a) = 0. What is a?
-1, -2/3, 0, 1
Let m(o) be the third derivative of 13/80*o**5 + 0*o + 1/2*o**3 - 3/80*o**6 - 3/8*o**4 + 0 + 1/280*o**7 - 6*o**2. Determine s so that m(s) = 0.
1, 2
Factor 0*d**2 - 3/4*d**4 + 0*d + 0 - 3/2*d**3.
-3*d**3*(d + 2)/4
Suppose s + 0 = -2*w + 6, 4*w - 4*s = 0. Factor 2/3*o + 2/3*o**w + 0.
2*o*(o + 1)/3
Let o(t) be the third derivative of t**6/20 - t**5/20 - t**4/8 - 3*t**2. Solve o(f) = 0.
-1/2, 0, 1
Find f such that -4/3*f + 2/3 + 2/3*f**2 = 0.
1
Let l(m) be the third derivative of 0*m**4 + 1/100*m**6 + 0*m**3 - 6*m**2 + 0*m - 1/75*m**5 + 0 - 1/525*m**7. Factor l(r).
-2*r**2*(r - 2)*(r - 1)/5
Let s(o) be the third derivative of -o**5/210 - o**4/42 + o**3/7 - 3*o**2. Factor s(n).
-2*(n - 1)*(n + 3)/7
Let y(w) = -3*w**5 + 4*w**4 - 2*w**2 + 3*w. Let s(f) = 6*f**5 - 8*f**4 + f**3 + 3*f**2 - 7*f. Suppose -2*d = 4*d + 30. Let k(o) = d*y(o) - 2*s(o). Factor k(a).
a*(a - 1)**2*(a + 1)*(3*a - 1)
Let j(t) be the first derivative of 5*t**8/1512 + t**7/315 - t**6/270 + 3*t**2/2 + 2. Let r(l) be the second derivative of j(l). Find o such that r(o) = 0.
-1, 0, 2/5
Suppose 15 = -3*r + 6. Let h = -5/2 - r. Let -h + 1/4*w**2 - 1/4*w = 0. Calculate w.
-1, 2
Let u(p) be the third derivative of -p**5/120 + 20*p**2. Factor u(g).
-g**2/2
Let x(i) be the first derivative of -i**8/8400 + i**6/1800