*o**2 - 2/11 - 4/11*o**5 - 4/11*o = 0. What is o?
-1, -1/2, 1
Let g be (1 - 3)/(10/(-15)). Suppose p + g*p - l = 19, -l - 14 = -3*p. Factor -p*a + 0*a + 4*a + 3*a**2 - 5*a.
3*a*(a - 2)
Let n(r) be the third derivative of -r**6/600 + r**5/200 + r**4/20 - r**3/2 - 8*r**2. Let s(u) be the first derivative of n(u). Factor s(j).
-3*(j - 2)*(j + 1)/5
Let v be 0/(1/(0 - (0 - -1))). Suppose -2/7*j**2 + v + 0*j - 2/7*j**3 = 0. What is j?
-1, 0
Let z(b) = 9*b**4 + 15*b**2 - 24*b. Let a be -1 + -20 - (-1 + 4). Let u(s) = 2*s**4 + 3*s**2 - 5*s. Let r(l) = a*u(l) + 5*z(l). Suppose r(t) = 0. Calculate t.
-1, 0, 1
Let t(l) be the third derivative of 0*l**3 - 7/60*l**5 + 5*l**2 + 0*l + 3/40*l**6 - 1/42*l**7 + 1/12*l**4 + 1/336*l**8 + 0. Determine v so that t(v) = 0.
0, 1, 2
Let y(k) be the second derivative of k**6/150 + k**5/20 + 3*k**4/20 + 7*k**3/30 + k**2/5 - 17*k. Let y(v) = 0. What is v?
-2, -1
Let x = 14 - 9. Let p(o) be the first derivative of -4/5*o**x - 2 + 0*o**4 - o**2 + 1/3*o**6 + 0*o + 4/3*o**3. Factor p(q).
2*q*(q - 1)**3*(q + 1)
Let r(o) be the third derivative of -o**5/80 + o**4/4 - 2*o**3 - 9*o**2. Find y, given that r(y) = 0.
4
Let h(f) be the second derivative of -5*f**6/6 - 11*f**5/2 - 115*f**4/12 - 5*f**3 - 39*f. Let h(o) = 0. Calculate o.
-3, -1, -2/5, 0
Factor 0 - 2/19*y**2 - 2/19*y.
-2*y*(y + 1)/19
Let z(f) be the third derivative of f**5/40 - f**4/8 + f**3/4 - 2*f**2. Factor z(x).
3*(x - 1)**2/2
Let q(x) = 190*x**4 - 620*x**3 + 1080*x**2 - 595*x + 55. Let m(o) = -7*o**4 + 23*o**3 - 40*o**2 + 22*o - 2. Let c(p) = -55*m(p) - 2*q(p). Solve c(b) = 0.
0, 1, 2
Let t(v) = 21*v**3 - 7*v**2 + v + 5. Let i(q) = -8 + 2*q**2 + 8*q**2 - 43*q**3 + 11*q**3 - 2*q. Let f(n) = -5*i(n) - 8*t(n). Factor f(b).
-2*b*(b - 1)*(4*b + 1)
Let g be -1*(-10)/((-2)/(-2)). Let w be (15/g)/((-6)/(-16)). Determine r so that 2 + 2*r**3 - 6*r - 6 + 4*r + w*r**2 = 0.
-2, -1, 1
Let l = -359 - -361. Factor -2/7*p**4 + 0*p - 4/7*p**3 - 2/7*p**l + 0.
-2*p**2*(p + 1)**2/7
Let s = 1491/5 - 297. Let 0 - 4/5*a + s*a**2 = 0. Calculate a.
0, 2/3
Let c be (150/24)/(1/4). Suppose 36 = 4*k - 5*o, 5*k - 3*o - 7 = c. Solve -9/5*b**3 - 3/5*b + 0 + 9/5*b**2 + 3/5*b**k = 0 for b.
0, 1
Let j(b) = -b**3 - 12*b**2 - 11*b. Let a be j(-11). Suppose a*k**2 - 1/2*k**5 - 1/2*k**3 + 0 + k**4 + 0*k = 0. Calculate k.
0, 1
Find x, given that x + 2*x + 4*x + 4*x**3 + 8 + 17*x + 18*x**2 = 0.
-2, -1/2
Factor -40 + 0*j**2 + 4*j**2 - 404*j + 369*j + j**2.
5*(j - 8)*(j + 1)
Let k(j) be the second derivative of -j**4/4 - 2*j**3 - 9*j**2/2 - 13*j. Factor k(i).
-3*(i + 1)*(i + 3)
Let q be (-18)/12 - 2*-1. Determine m so that -1 + q*m + 1/2*m**2 = 0.
-2, 1
Let m = -468/7 - -67. Let v(f) be the second derivative of 0 + f + 2/21*f**4 + m*f**2 + 5/21*f**3. Factor v(w).
2*(w + 1)*(4*w + 1)/7
Let u = 973/170 + -2/85. Let k = 647/110 - u. Determine b so that 0 + 2/11*b**4 + 0*b + k*b**2 - 4/11*b**3 = 0.
0, 1
Let c(j) = -j**2 - 15*j - 6. Let f(m) = -m**2 - 8*m - 3. Let v(w) = 2*c(w) - 5*f(w). What is d in v(d) = 0?
-3, -1/3
Let j(p) = p**3 + p**2. Let r(z) = -2*z**5 + z**3 - 3*z**2 - 6*z - 4. Let q(n) = 14*j(n) + 2*r(n). Find m, given that q(m) = 0.
-1, 1, 2
Suppose -2*a + 0*a + 8 = 0. What is w in 2 - 4 + 4*w + 2*w**2 + a = 0?
-1
Let u = 0 + -16. Let t = u + 18. Factor -2/7*s**t + 0 - 2/7*s.
-2*s*(s + 1)/7
Suppose -2*f - 16 = -4*b, 4*f - 2*b = -0*f - 8. Suppose f*a - 15 = -5*a. Determine h so that 1 + 3*h**3 + 3*h**2 + 7*h**3 - 9*h**a + 3*h = 0.
-1
Let q(w) be the first derivative of -w**3/2 + 15*w**2/2 - 75*w/2 + 1. Factor q(j).
-3*(j - 5)**2/2
Let h(c) be the third derivative of -7*c**6/540 + c**5/9 - c**4/3 + 8*c**3/27 - c**2. Factor h(n).
-2*(n - 2)**2*(7*n - 2)/9
Let p be 3/1 - (-5432)/(-1952). Let b = p + 2/61. What is r in -1/4*r + b + 1/4*r**3 - 1/4*r**2 = 0?
-1, 1
Let m(i) = -i**3 - 4*i**2 - 3*i. Let a be m(-3). Suppose -13*g**2 + 12*g**3 - 2 - 12*g - 3*g**2 + a*g**2 + 18*g**4 = 0. Calculate g.
-1, -1/3, 1
Let o(u) be the first derivative of 1/12*u**3 - 1/8*u**2 + 1/8*u**4 + 0*u + 8. What is n in o(n) = 0?
-1, 0, 1/2
Let w(u) be the third derivative of u**9/12096 + u**8/6720 - u**7/3360 - u**6/1440 - u**3/2 + u**2. Let h(q) be the first derivative of w(q). Factor h(z).
z**2*(z - 1)*(z + 1)**2/4
Let m(w) be the first derivative of 3/5*w - 3/20*w**4 - 4 - 9/10*w**2 + 3/5*w**3. Suppose m(y) = 0. What is y?
1
Let w(g) be the second derivative of -g**6/10 + 3*g**5/5 - g**4 + 2*g + 5. Factor w(h).
-3*h**2*(h - 2)**2
Suppose 0 = -4*o - 0 + 12. Factor 0*l + 0 + 2/9*l**4 + 0*l**2 + 2/9*l**o.
2*l**3*(l + 1)/9
Let c(d) be the third derivative of d**6/180 + d**5/18 - 18*d**2. Factor c(v).
2*v**2*(v + 5)/3
Let r(w) be the third derivative of w**7/420 - w**6/20 + 9*w**5/20 - 9*w**4/4 - w**3/3 + 4*w**2. Let o(k) be the first derivative of r(k). Factor o(t).
2*(t - 3)**3
Factor -3*x**2 + 2*x**2 + 2*x**2 - x - 2*x**2.
-x*(x + 1)
Suppose 218*j**2 - 4*j**3 + 4*j - 214*j**2 + j**4 - 5*j**4 = 0. Calculate j.
-1, 0, 1
Let s(y) be the first derivative of -y**4/8 + y**3/6 - 5. Let s(l) = 0. What is l?
0, 1
Let h be -6*(1 - 2) + -1. Suppose 25 = 5*y + 5*j, -3*y + 5*y + 25 = h*j. Factor -1/3*n**3 + 0*n + 1/3*n**2 + y.
-n**2*(n - 1)/3
Find w such that 11*w - 4 - 6 - 4*w**2 - 6 + 9*w = 0.
1, 4
Let o be 35/10 - (2 + 1). Suppose -1 + o*p**2 + 1/2*p = 0. What is p?
-2, 1
Let c be 714/20*(-45)/54. Let v = 30 + c. Solve -v*f**2 + 0 + 1/4*f = 0.
0, 1
Let q(w) be the second derivative of w**4/42 + 4*w**3/21 - 5*w**2/7 + w - 2. What is g in q(g) = 0?
-5, 1
Suppose 3*b - 2*b - 12 = 0. Factor -16*p**3 - 52*p**4 - 23*p**4 + 35*p**2 + 13*p**2 + p**3 - b*p.
-3*p*(p + 1)*(5*p - 2)**2
Find g such that -10/19*g**2 + 34/19*g - 12/19 = 0.
2/5, 3
Let c(h) = 23*h**2 + 7*h. Let r(y) = 4*y**2 + y. Let q(n) = 6*c(n) - 34*r(n). Suppose q(d) = 0. What is d?
-4, 0
Let b(h) be the third derivative of -h**8/84 + 2*h**7/105 + h**6/15 - 2*h**5/15 - h**4/6 + 2*h**3/3 + h**2. Suppose b(n) = 0. What is n?
-1, 1
Let 2*y**2 - 6*y**3 - 19*y**4 + 6*y + 34*y**4 - 17*y**4 = 0. What is y?
-3, -1, 0, 1
Let l = -7/12 - -11/12. Solve -l*i**4 + 0 - i**5 + 0*i**2 + 2/3*i**3 + 0*i = 0 for i.
-1, 0, 2/3
Determine l, given that 18*l - 29*l + 6*l - 5*l**2 = 0.
-1, 0
Suppose -4*f = -21 - 3. Let p(y) = y**2 + 4*y + 2. Let b be p(-4). What is o in -f*o**b + 2*o**2 + 2*o**2 + 2 = 0?
-1, 1
Let h(z) = -z + 11. Let c be h(8). Suppose c*m = 4*m - 2. Factor -12*l**5 + 10*l**5 + l**m - l + 4*l**2 + 7*l**4 - 9*l**3.
-l*(l - 1)**3*(2*l - 1)
Suppose -o = -2*o - 8. Let n be (0 - 0) + o/(-4). Suppose n + 3*z**2 - 2*z**4 + 4*z - 6*z**3 - 3*z**2 + 2*z**3 = 0. What is z?
-1, 1
Let t(f) = 2*f + 4. Let y be t(-6). Let b be (-34)/y - 2/8. What is a in 2/3*a**b - 1/3*a**3 - 2/3*a**2 + 0 + 1/3*a = 0?
-1, 0, 1/2, 1
Let h(o) = -o**2 - 2*o - 2. Let n be h(-2). Let b be (-2)/15*(n + -3). Find j such that -4/3*j**2 + 2/3*j + b*j**3 + 0 = 0.
0, 1
Let r(v) be the first derivative of 2 + 0*v**3 - 1/10*v**4 + 0*v + 1/5*v**2. Factor r(t).
-2*t*(t - 1)*(t + 1)/5
Suppose 0 + 2/5*h + 2/15*h**2 = 0. Calculate h.
-3, 0
Suppose -12*b = -17*b - 5*h, -4*h = -2*b + 12. Factor 1/2*d**b - 7/4*d + 7/4*d**3 - 1/2.
(d - 1)*(d + 1)*(7*d + 2)/4
Suppose -2*y + 2 = 5*d, 2*y - 7*y = 20. Let x(j) be the second derivative of 0*j**2 - 1/24*j**4 + d*j + 0 - 1/40*j**5 + 1/12*j**3 + 1/60*j**6. Factor x(n).
n*(n - 1)**2*(n + 1)/2
Let j(i) be the third derivative of -1/525*i**7 + 0 + 0*i**6 - 1/30*i**4 + 1/50*i**5 + 0*i - 8*i**2 + 0*i**3. Find r such that j(r) = 0.
-2, 0, 1
Let q(l) = 16*l - 208. Let x be q(13). Factor 6/7*c**4 + 2/7*c**2 - 2/7*c**5 - 6/7*c**3 + 0 + x*c.
-2*c**2*(c - 1)**3/7
Let l = -73/2 - -37. Let b = 61/2 - 30. Determine p so that -p - b - l*p**2 = 0.
-1
Suppose 10 + 6 = -o + 4*k, 5*o + 2*k = 8. Let s(v) be the third derivative of v**2 - 1/24*v**4 + 1/120*v**5 + 0 + o*v + 1/12*v**3. Factor s(p).
(p - 1)**2/2
Factor 2/9*k**2 - 2/9*k + 0.
2*k*(k - 1)/9
Let k(y) = -y + 4. Let d be k(2). Let c be ((-18)/(-21))/(6/28). Solve -2*a**d + a + a**2 - 2 - c*a = 0 for a.
-2, -1
Let d(k) be the third derivative of -k**7/2520 + k**6/180 - k**5/40 + 5*k**4/24 + 5*k**2. Let j(a) be the second derivative of d(a). Factor j(x).
-(x - 3)*(x - 1)
Let w(x) = -x**3. Let p(s) = s**3 + s**2 + s - 1. Let u(o) = 3*p(o) + 2*w(o). Let a(y) be 