j - 1)**3*(9*j - 2)
Determine o, given that 10/9*o**3 + 44/3*o**2 + 16/9 - 50/9*o**4 + 88/9*o = 0.
-1, -2/5, 2
Factor -5/2*z**3 + 0 + 0*z + 0*z**2 - 15/2*z**4.
-5*z**3*(3*z + 1)/2
Let d(m) be the second derivative of 1/2*m**2 - m + 1/12*m**4 - 1/3*m**3 + 0. Let d(x) = 0. Calculate x.
1
Let g(a) be the third derivative of -a**7/8820 + a**6/840 - a**5/210 - a**4/8 + 4*a**2. Let m(s) be the second derivative of g(s). Factor m(o).
-2*(o - 2)*(o - 1)/7
Factor 0*m**4 + 3/5*m**3 + 0*m - 1/5*m**5 - 2/5*m**2 + 0.
-m**2*(m - 1)**2*(m + 2)/5
Let w be 2/7 + (-408)/(-42). Suppose -i = -5*v + 2, -v + 5*i = -6*v - w. Suppose 4/9*j + 2/9*j**2 + v = 0. What is j?
-2, 0
Let q(y) be the second derivative of 0*y**3 + 2*y + 1/70*y**5 + 2/105*y**6 + 0*y**2 - 1/42*y**4 + 0. Factor q(n).
2*n**2*(n + 1)*(2*n - 1)/7
Let v(t) be the second derivative of -t**7/280 + t**6/120 - t**3/2 + 5*t. Let o(p) be the second derivative of v(p). Determine i, given that o(i) = 0.
0, 1
Let i(h) be the first derivative of -1 - 1/15*h**5 + 0*h + 0*h**2 + 0*h**4 + 0*h**3. Let i(n) = 0. What is n?
0
Let o(n) be the first derivative of 9*n**5/10 + 3*n**4/2 - 5*n**3/6 - 3*n**2 - 2*n - 9. Factor o(i).
(i - 1)*(i + 1)*(3*i + 2)**2/2
Let y = 388/3 - 128. Suppose -2/3 + 4/3*a**3 + y*a**2 - 2/3*a**5 - 2/3*a - 2/3*a**4 = 0. What is a?
-1, 1
Suppose w + 2*w = 2*x - 12, 11 = 5*x + 2*w. Find k such that 1/2*k**x + 0*k + 0 + 1/2*k**2 = 0.
-1, 0
Let l(x) be the third derivative of x**6/10 - 7*x**5/20 - x**4/4 - 7*x**2. Factor l(g).
3*g*(g - 2)*(4*g + 1)
What is z in 0*z - z**3 + 5/8*z**4 + 0 - 1/2*z**2 = 0?
-2/5, 0, 2
Let j be 4/(144/(-69)) + 2. Let q(u) be the third derivative of j*u**4 + 0 + 0*u**3 - 1/12*u**5 - 2*u**2 - 7/120*u**6 + 0*u. Suppose q(k) = 0. What is k?
-1, 0, 2/7
Suppose -2*t = -5 + 1. Let x(a) = -a + 10. Let r be x(7). Solve s + r*s**2 - 4*s**2 - t*s = 0.
-1, 0
Let w(d) be the third derivative of -d**6/360 + d**5/180 + d**4/72 - d**3/18 + 9*d**2. Factor w(t).
-(t - 1)**2*(t + 1)/3
Suppose 0 = -5*y - 2*w - 6, 2*w = 4*y + 2 - 8. Let s(i) be the first derivative of -2 + 1/15*i**3 + 0*i + 0*i**2 + y*i**4 - 1/25*i**5. Factor s(m).
-m**2*(m - 1)*(m + 1)/5
What is t in 2*t - 4*t**5 + 2*t**5 + 13*t**4 + 4*t**2 - 17*t**4 = 0?
-1, 0, 1
Suppose 0 = 4*z + 3*a - 21, 4*z + 5 = 5*a + 2. Factor -42*i + 30*i**2 + 14*i + 8 + 0*i**3 - 9*i**z.
-(i - 2)*(3*i - 2)**2
Let r(m) be the first derivative of -3/2*m**2 - 1/4*m**4 - m**3 - m - 2. Solve r(c) = 0.
-1
Let s be 0*((-4)/2)/(-6). Let y(n) be the first derivative of -n**2 - 3 + s*n - 3/4*n**4 - 5/3*n**3. Factor y(u).
-u*(u + 1)*(3*u + 2)
Let u be (23 + -23)*2/4*2. Factor -1/2*q**2 + u - 1/2*q**4 - q**3 + 0*q.
-q**2*(q + 1)**2/2
Let 12*i**2 + 4*i**2 + 2*i**3 - 4*i**2 + 8*i + 2*i**3 = 0. Calculate i.
-2, -1, 0
Let n be 46/(-69)*1/(-2). Find j such that 1/3*j**2 + 1/3*j - 1/3*j**3 - n = 0.
-1, 1
Suppose b + 2*t = 4, -3*b + t - 2 = -b. Suppose 0*g - 3*g - 12 = 0, -5*r - 4*g - 6 = b. Factor 2 - 4*c**r - 3*c**2 - 5*c + 0*c.
-(c + 1)*(7*c - 2)
Factor -2/11 + 2/11*s**2 + 2/11*s - 2/11*s**3.
-2*(s - 1)**2*(s + 1)/11
Let c(i) = 11*i**2 + 8*i + 17. Let k(w) = w**2 + w + 1. Let s(v) = -c(v) + 6*k(v). Let l(p) = 2*p**2 + p + 5. Let z(j) = 7*l(j) + 3*s(j). Factor z(f).
-(f - 2)*(f + 1)
Suppose 5*k + 1 = 3*u, 3*k + 0 = 2*u - 2. Suppose 2*a**3 - u*a + 9*a - a**4 + 1 - 4*a = 0. Calculate a.
-1, 1
Let u be ((-16)/(-6))/(16/24). Determine i, given that 0 - 9*i**2 + 0 - 4*i**u + 13*i**2 = 0.
-1, 0, 1
Let w(t) be the second derivative of 3*t**4/22 - 2*t**3/33 - 22*t. Determine p so that w(p) = 0.
0, 2/9
Let k be (-23)/(-10)*(-5)/2. Let c = 6 + k. Suppose 1/2*p**2 - 1/4*p - c*p**3 + 0 = 0. Calculate p.
0, 1
Suppose -2*q + 9 = 2*q + 3*l, 5*l = -q - 2. Factor -r**3 - 2 + 4*r**3 + q*r**2 + r + 2 + r**4.
r*(r + 1)**3
Let c(n) be the first derivative of -5*n**2 + 3 - 3/8*n**4 - 7/3*n**3 - 4*n. Factor c(o).
-(o + 2)**2*(3*o + 2)/2
Let v(a) be the third derivative of -a**5/180 + a**4/72 - 8*a**2. Suppose v(u) = 0. What is u?
0, 1
Let n = 13/12 + -5/6. Let a = 12 - 23/2. Factor -5/4*s - n*s**3 - a - s**2.
-(s + 1)**2*(s + 2)/4
Suppose 0*t - 15 = -5*t. Suppose -6*n + t*n = 0. Factor n - 2/7*o - 2/7*o**2.
-2*o*(o + 1)/7
Determine v so that -4/3*v - 10/3*v**2 - 2/3*v**4 - 8/3*v**3 + 0 = 0.
-2, -1, 0
Suppose 1/2*m**2 - 1/2*m**4 - 1/6*m**5 - 1/6*m**3 + 0 + 1/3*m = 0. What is m?
-2, -1, 0, 1
Let z(r) = -r**2 - r + 5. Let a be z(4). Let n = -44/3 - a. What is j in 2/3*j + n*j**2 + 1/3 = 0?
-1
Factor -2*w**4 - 20*w**2 + 50*w**3 - w**4 - 12*w**4 - 40*w.
-5*w*(w - 2)**2*(3*w + 2)
Let k(l) = l**2 - 16*l + 15. Let p be k(15). Suppose p = -u - 0*u. Suppose 0*f**2 + u + 0*f - 1/4*f**3 = 0. What is f?
0
Let s = 6 - 4. Suppose 6 = -0*f + s*f. Solve 2*c + 2*c**2 - c + 4 - f*c - 4*c = 0.
1, 2
Let l(v) be the first derivative of 8*v**3 + 18*v + 5/3*v**4 + 18*v**2 + 2/15*v**5 + 6. Solve l(u) = 0.
-3, -1
Let x(f) be the third derivative of f**5/330 - f**4/33 + 4*f**3/33 + 7*f**2. Solve x(t) = 0 for t.
2
Let z(b) be the first derivative of -b**5/80 + b**3/8 + b**2/2 + 4. Let j(i) be the second derivative of z(i). Suppose j(f) = 0. Calculate f.
-1, 1
Let g(m) = 5*m**4 + 2*m**3 + m**2 + 4*m - 6. Let s(r) = 6*r**4 + 2*r**3 + r**2 + 5*r - 7. Let x(w) = -7*g(w) + 6*s(w). Determine k so that x(k) = 0.
-1, 0, 1, 2
Let o(g) = g**3 + 10*g**2 + 3*g - 6. Let w be o(-9). Suppose -4*n**2 + 1 - 1 - 46*n**3 + w*n**3 + 2*n = 0. Calculate n.
0, 1
Let w(r) = -49*r**3 - 9*r**2 + 55*r + 9. Let u(o) = 50*o**3 + 10*o**2 - 54*o - 10. Let m(k) = -3*u(k) - 2*w(k). Factor m(z).
-4*(z - 1)*(z + 1)*(13*z + 3)
Let -2/5*j**4 - 2*j + 6/5*j**2 + 4/5 + 2/5*j**3 = 0. Calculate j.
-2, 1
Let z(l) be the second derivative of l**6/225 + 2*l**5/75 - 13*l**4/45 - 4*l**3/3 + 15*l**2 + 56*l. Factor z(q).
2*(q - 3)**2*(q + 5)**2/15
Let j(p) be the second derivative of p**5/30 + p**4/3 + 3*p**2 + 2*p. Let w(s) be the first derivative of j(s). Factor w(i).
2*i*(i + 4)
Let r = 6 - 3. Suppose r*l - 21 = 5*p, -5 = 6*l - 4*l + 3*p. Find g, given that -4*g**4 - 2*g**3 - l*g**3 + 7*g**3 + g**2 = 0.
-1/4, 0, 1
Suppose f - 3*g + 0*g + 9 = 0, 2*f - 5*g + 14 = 0. Factor -1/5*m**2 - 2/5*m + 1/5*m**f + 0.
m*(m - 2)*(m + 1)/5
Let l be 4/(-12) - (-2)/6. Suppose 0 = -r - l*r + 6. Suppose 2 + 1 + 2*v**2 + 1 - r = 0. Calculate v.
-1, 1
Determine d so that 8 + 4*d - d**3 + 4*d**4 - 12*d**2 + 6*d**3 - 9*d**3 = 0.
-1, 1, 2
Let f(t) be the third derivative of 1/120*t**6 + 0*t - 2/3*t**3 - t**2 + 0 + 0*t**4 + 1/20*t**5. Find u such that f(u) = 0.
-2, 1
Let m be (((-3)/(-6))/1)/(-14). Let s = m - -2/7. Let 0*j - s*j**3 + 0*j**2 + 3/4*j**4 + 0 + j**5 = 0. What is j?
-1, 0, 1/4
Solve 1 + 5/2*p + 1/2*p**3 + 2*p**2 = 0.
-2, -1
Let w(g) be the second derivative of g**4/42 + g**3/7 - 5*g. Factor w(n).
2*n*(n + 3)/7
Let a(d) be the third derivative of d**7/420 - d**6/12 + 5*d**5/4 - 125*d**4/12 + 625*d**3/12 - 43*d**2. Solve a(v) = 0 for v.
5
Let n(a) = 5*a**5 - 5*a**4 - 41*a**3 - 19*a**2 + 6*a - 6. Let p(r) = -r**5 - r**4 + r**3 - r**2 - r + 1. Let w(b) = n(b) + 6*p(b). Factor w(f).
-f**2*(f + 1)*(f + 5)**2
Let u(z) = 4*z**4 - 5*z**2 - 4*z - 4. Let q(f) = 4*f**4 - 6*f**2 - 5*f - 5. Suppose 5*o + 9 = -16. Let p(b) = o*u(b) + 4*q(b). Factor p(x).
-x**2*(2*x - 1)*(2*x + 1)
Let j(g) be the third derivative of g**7/420 - g**5/120 - 11*g**2. What is n in j(n) = 0?
-1, 0, 1
Suppose 3*g - 19 = -0*g - 2*h, 3*g - h - 13 = 0. Suppose -15 = -2*y + g. Factor 73*w**2 + 32 + 7*w**2 + 80*w + 40*w**3 + w**5 + y*w**4 + 0*w**5.
(w + 2)**5
Let g be (-630)/(-1176) - 2/7. Factor 1/4*u + g*u**3 - 1/2*u**2 + 0.
u*(u - 1)**2/4
Let p(r) be the first derivative of 4*r**5/25 - r**4/5 - 4*r**3/15 + 2*r**2/5 - 6. Factor p(v).
4*v*(v - 1)**2*(v + 1)/5
Let s(y) = -5*y**3 - 5*y**2 - 10*y - 4. Suppose 3*n = n - 4. Let l(j) = -4*j**3 - 6*j**2 - 10*j - 4. Let b(q) = n*s(q) + 3*l(q). Factor b(w).
-2*(w + 1)**2*(w + 2)
Let m(y) = y**4 - y**3 + y**2 - y. Let l(s) = 6*s**4 - 2*s**3 + 8*s**2 - 4*s. Let j(o) = l(o) - 5*m(o). Find f such that j(f) = 0.
-1, 0
Let c(l) = -l**3 + 2*l**2 + 2*l - 1. Let b be c(2). Factor 2/5*n**b + 0*n + 0 + 2/5*n**2 - 2/5*n**5 - 2/5*n**4.
-2*n**2*(n - 1)*(n + 1)**2/5
Factor m**4 + 1/3*m**5 - m - 1/3 + 2/3*m**3 - 2/3*m**2.
(m - 1)*(m + 1)**4/3
Let g(i) be the first derivative of -135*i*