 -6/7*v**3 + 2/7*v**4 + m*v**2 + 0 - 2/7*v = 0. What is v?
0, 1
Suppose 30*s - 27*s - 6 = 0. Let h(f) = f**2 + 10*f + 11. Let l be h(-9). Factor b**2 + 0 - 4*b - 2*b**2 + 4 + l*b**s.
(b - 2)**2
Let m = -1043/3 + 351. Factor 2/3*p + m*p**2 + 2*p**4 + 0 + 14/3*p**3.
2*p*(p + 1)**2*(3*p + 1)/3
Let n(m) be the first derivative of 0*m**2 + 1/9*m**3 - 3*m - 1 - 2/9*m**4. Let i(p) be the first derivative of n(p). Factor i(j).
-2*j*(4*j - 1)/3
Let q = 5/4 - 1. Let n(i) be the third derivative of -2/15*i**5 + 1/3*i**3 + q*i**4 + 2*i**2 + 0 + 0*i. Factor n(b).
-2*(b - 1)*(4*b + 1)
Let k(h) be the second derivative of h**4/12 - h**3/3 - h**2/2 - h. Let d be k(3). Factor q**d + q**2 + 0*q**2 + 10*q**3.
2*q**2*(5*q + 1)
Let z(d) be the second derivative of d**6/6 - 15*d**4/4 - 10*d**3/3 + 30*d**2 - 8*d. Find o such that z(o) = 0.
-2, 1, 3
Let p be -3 + 0 + 4/(-20)*-17. Let k = -3 + 5. Factor -p*w**k + 0 + 4/5*w.
-2*w*(w - 2)/5
Let f(c) = -10 + c - 7*c - c**3 + 5*c**2 + 6. Suppose 0 = -4*o - 1 + 17. Let y(l) = 3*l**3 - 11*l**2 + 13*l + 9. Let k(w) = o*y(w) + 9*f(w). Factor k(b).
b*(b + 1)*(3*b - 2)
Let i(f) be the second derivative of f**6/30 - f**5/5 + f**4/2 - 2*f**3/3 + f**2/2 + 9*f. Factor i(o).
(o - 1)**4
Find q such that -46 + 5*q**3 + 4*q + 25*q**2 + 1 + 11*q = 0.
-3, 1
Let f(w) be the second derivative of -w**5/30 + w**4/18 + w**3/9 - w**2/3 - 27*w. Factor f(s).
-2*(s - 1)**2*(s + 1)/3
Suppose -v + 11 = w - 3, 5*w = -3*v + 52. Factor 9*j**2 - j**3 - 20*j**2 + 3*j + v*j**2.
-j*(j - 1)*(j + 3)
Suppose 2*l + 2*o - 10 = -11*l, 5*l = 5*o - 25. Suppose 10/3*c**2 - 2*c + l = 0. What is c?
0, 3/5
Let r = -271/3 + 181/2. Determine t, given that -1/6*t**2 + 0 + 1/6*t**4 + r*t**3 + 0*t - 1/6*t**5 = 0.
-1, 0, 1
Suppose a - 5*a + 16 = 0. Let i be 0*2/a*1. Find v, given that i*v + 2/5*v**3 + 0 + 2/5*v**2 = 0.
-1, 0
Suppose -9*x + 15*x - 18 = 0. Factor -2/3*m**x + 1/3*m + 0 + 1/3*m**5 + 0*m**2 + 0*m**4.
m*(m - 1)**2*(m + 1)**2/3
Let o be ((-1)/2)/(1/(-4)). Suppose -2*p + 3*p - 8 = -o*s, -5*p = 0. Factor 0 - 1/3*u**2 - 1/3*u + 1/3*u**s + 1/3*u**3.
u*(u - 1)*(u + 1)**2/3
Let o be 4/(-10) - 4/(-10). Let l(u) be the second derivative of 1/30*u**6 + 0*u**2 + 0 + 3*u + 0*u**3 + o*u**4 - 1/20*u**5. Find a, given that l(a) = 0.
0, 1
Let q(n) be the third derivative of -n**8/112 - n**7/210 + n**6/45 + n**5/45 - 14*n**2. Determine z, given that q(z) = 0.
-2/3, 0, 1
Let p(n) be the second derivative of -n**5/170 - 2*n**4/17 - 16*n**3/17 - 64*n**2/17 + 17*n. Let p(j) = 0. What is j?
-4
Suppose 0 = -2*i + i - 3*i. Determine c, given that 2/9*c**3 + 0*c + i - 2/9*c**2 = 0.
0, 1
Let u(c) = 3*c**5 + 6*c**4 - 60*c**3 - 27*c**2 + 387*c - 381. Let p(y) = y**2 - y - 1. Let h(f) = -3*p(f) - u(f). Factor h(t).
-3*(t - 2)**3*(t + 4)**2
Let n(l) be the second derivative of -l**4/12 + l**3/2 - l**2 + 23*l. Determine a, given that n(a) = 0.
1, 2
Suppose -32 = -2*a - 2*x - 2*x, -4*a + x + 19 = 0. Let q be (1 - a/(-21)) + -1. Factor 4/7*k - q - 2/7*k**2.
-2*(k - 1)**2/7
Let w(l) be the second derivative of -l**6/60 - 7*l**5/40 - l**4/2 + l**3/3 + 4*l**2 - 24*l. Factor w(y).
-(y - 1)*(y + 2)**2*(y + 4)/2
Let d be (-9)/66*(-208)/6. Let t = 54/11 - d. Factor t*o**4 + 2/11*o**2 + 0 + 4/11*o**3 + 0*o.
2*o**2*(o + 1)**2/11
Let a be 0 + -2 - (7 - 12). Let q(v) be the third derivative of 0 - v**2 + 0*v - 1/15*v**4 - 1/150*v**5 - 4/15*v**a. Determine j, given that q(j) = 0.
-2
Let t(s) be the first derivative of -s**6/120 + 3*s**5/80 - s**4/16 + s**3/24 + 2*s + 3. Let b(n) be the first derivative of t(n). What is g in b(g) = 0?
0, 1
Suppose -8*z**3 + z**2 + 13 - 5*z**2 - 13 + 4*z**4 + 8*z = 0. What is z?
-1, 0, 1, 2
Let -5*u**2 + 6*u**2 + 0*u**2 + 10 + 5*u - 6*u**2 = 0. Calculate u.
-1, 2
Let t(z) be the first derivative of -7*z**5/10 - 11*z**4/2 - 16*z**3 - 20*z**2 - 8*z - 13. Suppose t(l) = 0. Calculate l.
-2, -2/7
Let y(u) = -2*u**2 + u + 7. Let m be -5*(-1)/(3/(-3)). Let l(j) = -3*j**2 + 3*j + 13. Let p(o) = m*y(o) + 3*l(o). Solve p(d) = 0.
-2
Let m(z) = z**4 - z**3 - 1. Let r(o) = 6*o**4 - 7*o**3 - o**2 + 2*o - 5. Let n(g) = 5*m(g) - r(g). Factor n(w).
-w*(w - 2)*(w - 1)*(w + 1)
Let x = -4 + 9. Factor d**x + 0*d**5 + 2*d**3 - d**3 - 2*d**5.
-d**3*(d - 1)*(d + 1)
Let y(x) be the third derivative of 0 + 1/200*x**6 - 1/50*x**5 + 1/40*x**4 + 0*x + 0*x**3 - x**2. Factor y(f).
3*f*(f - 1)**2/5
Let s(p) be the second derivative of p**5/40 + p**4/4 + p**3 + 2*p**2 - 2*p. Factor s(b).
(b + 2)**3/2
Let c(g) be the first derivative of 2*g**3/9 + 4*g**2/3 + 8*g/3 - 3. Factor c(z).
2*(z + 2)**2/3
Let j(f) be the third derivative of f**5/15 - f**4/2 + 4*f**2. Find c, given that j(c) = 0.
0, 3
Let n(i) be the second derivative of -i**6/1260 - i**5/70 - 3*i**4/28 + i**3/3 + 4*i. Let g(s) be the second derivative of n(s). Suppose g(k) = 0. Calculate k.
-3
Factor 8/5*a**3 + 0*a**2 - 4/5*a**4 - 8/5*a + 4/5.
-4*(a - 1)**3*(a + 1)/5
Let u(y) = -4*y**2 - 20*y - 11. Let b(w) = -w**2 - w + 1. Let a(x) = 5*b(x) - u(x). Factor a(z).
-(z - 16)*(z + 1)
Suppose -11 = -a + 2*a - 5*b, -5*a - 5*b + 35 = 0. Factor 3 + 2 - a - 18*r**2 + 9*r - 2.
-(3*r - 1)*(6*r - 1)
Let p be 2/(-2) + 1 + 1. Find s, given that -s**2 + 4 + p - 4 - 2 - 2*s = 0.
-1
Factor -36/7*t**2 - 39/7*t**3 + 0 - 3/7*t**5 - 18/7*t**4 - 12/7*t.
-3*t*(t + 1)**2*(t + 2)**2/7
Suppose -15*r + 88 = 7*r. Suppose 2/5*u**2 - 2/5*u**3 + 0 - 2/5*u**r + 0*u + 2/5*u**5 = 0. Calculate u.
-1, 0, 1
Let m = 7 + -5. Let p be -2*3/12*0. Factor -2/7*j**m + 2/7*j + p.
-2*j*(j - 1)/7
Let y(z) be the second derivative of 3*z**5/40 + 5*z**4/8 + 3*z**3/4 - 27*z**2/4 - 13*z. Factor y(p).
3*(p - 1)*(p + 3)**2/2
Suppose -4*j = -r + 16, 2*r + 0*j - 27 = 3*j. Suppose 4*l - 33 = -5*z, -5*z + z = -4*l - r. Factor 0*g**3 + 1/2*g - g**l + g**4 + 0 - 1/2*g**5.
-g*(g - 1)**3*(g + 1)/2
Suppose x + 2*x - 40 = 5*d, -2*d + 3*x - 16 = 0. Let n be (2/12)/((-2)/d). Factor -2/3*y**3 + 0 + 2/3*y + 2/3*y**4 - n*y**2.
2*y*(y - 1)**2*(y + 1)/3
Suppose -5*a - 8 = 3*y, a + 15 = 3*y - 1. Let h be (6/(y/2))/1. Factor -g**4 + 0*g**4 + 5*g**3 - 3*g**h - g**2.
-g**2*(g - 1)**2
Let g(m) be the second derivative of -m**7/525 + m**5/50 + m**4/30 - m**2 + 3*m. Let a(j) be the first derivative of g(j). Factor a(f).
-2*f*(f - 2)*(f + 1)**2/5
Let u(q) be the second derivative of q**7/21 - 2*q**6/15 + q**5/10 - 2*q. Factor u(w).
2*w**3*(w - 1)**2
Factor -62*g - 555 - 2*g**2 + 7*g**2 - 58*g + 1275.
5*(g - 12)**2
Factor -5/4*j**3 + 7/4*j**2 + 0 + 1/2*j - j**4.
-j*(j - 1)*(j + 2)*(4*j + 1)/4
Let t(m) be the third derivative of -m**6/330 - 13*m**5/660 - m**4/88 - 6*m**2. Factor t(o).
-o*(o + 3)*(4*o + 1)/11
What is v in -2*v**2 - 2*v + 69 - 61 + 8*v = 0?
-1, 4
Let n(l) = l**3 - 3*l**2 + 9*l - 1. Let q(s) = -s**3 - 8*s - 3 + 0 + 4 + 3*s**2. Let v(i) = -5*n(i) - 6*q(i). Factor v(m).
(m - 1)**3
Factor 3*a**2 + 0*a**2 - 4 - a**2 + 0*a - 2*a.
2*(a - 2)*(a + 1)
Factor -2*a**2 - 35 - 12*a + 4*a**3 - 4*a**4 + 44 + 0*a**3 + 5*a**4.
(a - 1)**2*(a + 3)**2
Determine l so that -12*l**2 - 39/4*l**3 - 9/4*l**4 - 3*l + 0 = 0.
-2, -1/3, 0
Let c(y) be the first derivative of -2*y**3/27 - 4*y**2/9 - 8*y/9 + 9. Find z such that c(z) = 0.
-2
Factor 4/5*n**4 + 12/5*n**3 + 0 + 12/5*n**2 + 4/5*n.
4*n*(n + 1)**3/5
Let l(k) be the third derivative of -k**8/10080 - k**5/30 + 3*k**2. Let h(i) be the third derivative of l(i). Factor h(v).
-2*v**2
Let g be 3/(-9) + (-32)/(-6). Determine i, given that -40*i**5 - g + 50*i**3 + 27*i**4 - 38*i**2 + 7*i**4 + 9 - 10*i = 0.
-1, -2/5, 1/4, 1
Let l be 5/(-2)*16/(-20). Let q(m) be the first derivative of 0*m**l + 3 + 0*m + 2/15*m**3. Let q(h) = 0. What is h?
0
Determine l so that -2/5*l**3 + 2/5*l + 2/5*l**4 + 0 - 2/5*l**2 = 0.
-1, 0, 1
Determine u so that -2 - 5/2*u**2 + 1/2*u**3 + 4*u = 0.
1, 2
Let m be -4 - 7/(28/(-16)). Let s(i) be the third derivative of 0*i - 1/30*i**5 + m + 2*i**2 + 0*i**3 - 1/12*i**4. Solve s(q) = 0 for q.
-1, 0
Let j(r) be the third derivative of -r**8/756 + r**7/189 + r**6/180 + r**2. Factor j(c).
-2*c**3*(c - 3)*(2*c + 1)/9
Let f(a) = a**3 - 11*a**2 + 30*a + 2. Let p be f(6). Let n(w) be the first derivative of 0*w**p - 1/21*w**3 - 1 + 1/7*w. Factor n(r).
-(r - 1)*(r + 1)/7
Suppose -4*w + 5*q = -87, -q - 3*q = -5*w + 111. Let r = 23 - w. Find z such that r - 4/7*z**2 + 10/7*z**3 - 6/7