. What is b?
-1, 0, 1
Determine b so that 14/9*b**2 + 4/9 + 2*b = 0.
-1, -2/7
Suppose 3*t + 0*t = -12. Let s = t + 4. Solve 2/7*u**3 + 2/7*u**4 - 2/7*u + s - 2/7*u**2 = 0.
-1, 0, 1
Suppose 4*v + 5*v = -3*v. Let -2/3*j - 2/3*j**3 + 4/3*j**2 + v = 0. What is j?
0, 1
Suppose 0*v - 10 = -2*v. Let l**5 + 2*l**3 + 4*l**4 - 2*l**v + 3*l**5 = 0. What is l?
-1, 0
Factor 0 + 0*u + 3/2*u**2 - 3/2*u**4 + 0*u**3.
-3*u**2*(u - 1)*(u + 1)/2
Let y(s) be the third derivative of -s**7/1155 + s**5/165 - s**3/33 - 10*s**2. Suppose y(a) = 0. Calculate a.
-1, 1
Let p(i) = -3*i**2 - 9*i. Let m(h) = -19*h**2 - 33*h. Let u(o) = 9*o**2 + 16*o. Let k(l) = 6*m(l) + 13*u(l). Let z(y) = -3*k(y) - 4*p(y). Factor z(v).
3*v*(v + 2)
Suppose 0*i**3 - i**2 + 4*i**3 + 4*i**4 - 8*i**2 + i**2 = 0. What is i?
-2, 0, 1
Let i = 5 + -3. Let d = -2 + i. Let n**2 - 4/3 + 1/3*n**3 + d*n = 0. What is n?
-2, 1
Let h(x) = -12*x**2 + 12*x - 15. Let k(z) = 3*z**2 - 3*z + 4. Let y(m) = 4*h(m) + 15*k(m). Solve y(l) = 0.
0, 1
Find s such that -41*s + 46*s - 4 - 2*s**2 + s**2 = 0.
1, 4
Suppose 0 = -2*v - 2, -3*v = -7*o + 4*o + 12. Factor 0*h**3 + h**o + 3*h**3 - h**2 - 3*h**3 - 2*h.
h*(h - 2)*(h + 1)
Let i(p) be the second derivative of 1/42*p**7 + 0*p**3 + 1/20*p**5 + 0*p**2 - 3*p - 1/15*p**6 + 0 + 0*p**4. Factor i(y).
y**3*(y - 1)**2
Let c be (49/(-14) - -4)/((-3)/(-2)). Let 4/3*g - c*g**2 - 4/3 = 0. Calculate g.
2
Let m(x) be the first derivative of -2*x**3/27 + 11*x**2/9 - 20*x/9 - 61. Factor m(v).
-2*(v - 10)*(v - 1)/9
Let h(d) be the first derivative of -d**4/24 + 7*d**2/12 - d + 61. Factor h(i).
-(i - 2)*(i - 1)*(i + 3)/6
Let q be ((-12)/30)/((-1)/10). Factor -3*y**3 + y**3 + 4 + q - 6*y**2.
-2*(y - 1)*(y + 2)**2
Suppose 2*q = -4*q + q. Let n(r) be the second derivative of -1/21*r**3 + 3*r + 0*r**2 + q + 1/42*r**4 + 1/70*r**5 - 1/105*r**6. Suppose n(h) = 0. Calculate h.
-1, 0, 1
Suppose 1/2*v**3 + 0 + v**2 + 0*v = 0. What is v?
-2, 0
Let v(s) be the third derivative of 1/80*s**5 - 3*s**2 + 0*s + 0 + 1/160*s**6 + 0*s**4 + 0*s**3. Factor v(t).
3*t**2*(t + 1)/4
Factor 0*x + 9/7*x**3 + 0 - 3/7*x**4 - 6/7*x**2.
-3*x**2*(x - 2)*(x - 1)/7
Let c be 458/12*(-14)/(-2121). Let d = c + -3/101. Let 0*l**3 - 4/9*l**2 + 0*l + d + 2/9*l**4 = 0. Calculate l.
-1, 1
Let x(z) = z**2 + 3*z - 4. Let v be x(-5). Suppose 0 = -d + v - 4. Factor -c**2 + 4*c**d - 4*c + c.
3*c*(c - 1)
Let n(v) be the third derivative of v**8/13440 + v**7/1120 + v**6/288 + v**5/160 - v**4/24 + 4*v**2. Let p(d) be the second derivative of n(d). Factor p(i).
(i + 1)*(i + 3)*(2*i + 1)/4
Solve -10*i + 10*i**2 + 3*i**2 + 9 - 12*i**2 = 0.
1, 9
Let o = -28 - -31. Suppose 3 + 1 = 4*v, o*v = 5*h - 12. Factor 1/4*g + 0 - g**h + 0*g**2.
-g*(2*g - 1)*(2*g + 1)/4
Let i be ((-5760)/(-350))/9 + 4/7. Factor -i*n + 3/5 - 3*n**2.
-3*(n + 1)*(5*n - 1)/5
Factor 1/5*b**3 + 0*b**2 + 0 + 0*b.
b**3/5
Suppose 0 = 15*d - 8 - 37. Let r be ((-8)/(-70))/((-6)/(-15)). Solve -r*c + 0 + 0*c**2 + 2/7*c**d = 0 for c.
-1, 0, 1
Suppose -3*i + 2 = -2*i. Factor -j**2 - i*j - j**2 + 0*j.
-2*j*(j + 1)
Let q be (-62)/21 - (-2)/7. Let f = 3 + q. Let -1/3*t**4 + 1/3*t - f*t**3 + 1/3*t**2 + 0 = 0. What is t?
-1, 0, 1
Let a(z) be the second derivative of -25*z**7/42 - 4*z**6/3 + z**5 + 3*z + 17. Determine f, given that a(f) = 0.
-2, 0, 2/5
Suppose 3*v - 4*t = 2, -v + 5 = 2*t + 11. Let a be (-9)/(-2)*v/(-3). Solve -9/2*h**2 - 27/2*h**a - 1/2*h + 0 - 27/2*h**4 = 0 for h.
-1/3, 0
Determine u, given that 27*u - 20*u**2 + 76*u**3 - 72*u**3 - 11*u = 0.
0, 1, 4
Let o(w) be the third derivative of 0 + 0*w**3 + 6*w**2 + 1/6*w**4 + 0*w - 2/15*w**5 - 1/210*w**7 + 1/24*w**6. Factor o(q).
-q*(q - 2)**2*(q - 1)
Suppose -24*y = -8*y. Solve 4/3*p**2 - 4/3*p**4 + 0 + y*p**3 + 0*p = 0.
-1, 0, 1
Let w(b) = b**4 + b**3 - b**2 - 1. Let t(l) = -10*l**4 - 166*l**3 - 2394*l**2 - 16000*l - 39994. Let s(d) = t(d) + 6*w(d). Find y such that s(y) = 0.
-10
Let z(o) = 10*o**2 - 8. Let j(d) = d**2 - 1. Suppose 0 = 5*r - 2*w + w + 7, 5*r - 2*w + 9 = 0. Let p(u) = r*z(u) + 8*j(u). Determine g, given that p(g) = 0.
0
Let j(q) be the third derivative of -5*q**8/672 + 2*q**7/105 + q**6/60 - q**5/12 + q**4/48 + q**3/6 - 14*q**2. Suppose j(o) = 0. What is o?
-1, -2/5, 1
Let a = -7 - -7. Suppose 0*c - 3*c + 6 = a. Factor 3*m**2 + 8 + 6 - 6 - m**c - 8*m.
2*(m - 2)**2
Let x(w) = w**2 - w. Let o(b) = 6*b**2 - 33*b + 9. Let c(k) = o(k) + 6*x(k). Factor c(z).
3*(z - 3)*(4*z - 1)
Let a(c) be the third derivative of c**8/216 - 23*c**7/945 + c**6/20 - 13*c**5/270 + c**4/54 - 30*c**2. Suppose a(v) = 0. Calculate v.
0, 2/7, 1
Let i(j) be the third derivative of -j**8/1008 - 2*j**7/315 - j**6/60 - j**5/45 - j**4/72 + 4*j**2. Factor i(v).
-v*(v + 1)**4/3
What is c in -1/4*c**2 + 0 + 0*c = 0?
0
Suppose 0 = 2*x + 4*m - 48, -m + 5 - 3 = 0. Solve 43*p**3 - x*p**3 - 26*p**3 = 0 for p.
0
Let u(y) = 5*y**4 + 8*y**3 + 6*y**2. Let k(t) = 9*t**4 + 15*t**3 + 11*t**2. Let q(c) = -6*k(c) + 11*u(c). Suppose q(w) = 0. What is w?
0, 2
Let l(c) be the first derivative of -4*c**6/15 + 2*c**5/25 + 21*c**4/20 + 13*c**3/15 + c**2/5 + 13. Find x, given that l(x) = 0.
-1, -1/2, -1/4, 0, 2
Let k = -1 + 3. Factor -w**2 - k*w - w**4 - 2*w**3 + 2*w + 4*w**3.
-w**2*(w - 1)**2
Find w such that 0 + 1/6*w**4 + 1/6*w**3 - 1/6*w**2 - 1/6*w = 0.
-1, 0, 1
Let s(z) be the second derivative of 4*z + 1/5*z**3 - 1/60*z**4 + 0 - 9/10*z**2. Factor s(y).
-(y - 3)**2/5
Let o(p) be the first derivative of p**3/12 + 3*p**2/8 + p/2 + 1. Let o(i) = 0. Calculate i.
-2, -1
Let f be (-4 - -5)*4 + -4. Let o(d) be the second derivative of 1/40*d**5 + 0*d**2 - 1/24*d**4 + f*d**3 + 2*d + 0. Factor o(a).
a**2*(a - 1)/2
Suppose -u + 2*u - c - 9 = 0, 4*c = -20. Let m(w) be the first derivative of 2 + 2*w**3 + 2*w - 3*w**2 - 1/2*w**u. Factor m(n).
-2*(n - 1)**3
Let a(p) be the first derivative of -2*p**5/5 - 3*p**4/2 - 2*p**3 - p**2 + 28. Factor a(r).
-2*r*(r + 1)**3
Let z(b) be the third derivative of -b**6/120 + 7*b**5/30 + b**3/3 + 8*b**2. Let n be z(14). Factor 1/5*i**4 + 9/5*i**n - i**3 + 2/5 - 7/5*i.
(i - 2)*(i - 1)**3/5
Let p be (6/(-5))/(10/(-25)). Let d(q) be the first derivative of -3*q**2 + 3 - 2/3*q**p - 4*q. Suppose d(w) = 0. Calculate w.
-2, -1
Let l = 10 - 8. Suppose 0 = -3*q - 5*f + 31, -l*q + q = -f + 3. What is d in 0*d + 0 - 1/2*d**4 - 1/2*d**5 + 1/2*d**3 + 1/2*d**q = 0?
-1, 0, 1
Let m = 7 - 5. What is i in -4/3*i - 1/3*i**4 - i**5 + 11/3*i**3 + 3*i**m - 4/3 = 0?
-1, 2/3, 2
Let c be 12/(-48) + (0 - 0) + 1. Factor -c*a + 1/4*a**2 + 1/2.
(a - 2)*(a - 1)/4
Let a(m) be the third derivative of -m**7/70 - m**6/20 + m**4/4 + m**3/2 + 8*m**2. Factor a(k).
-3*(k - 1)*(k + 1)**3
Let h be -2*(7/14 + -2). Factor 11/5*m**2 + m**h + 7/5*m + 1/5.
(m + 1)**2*(5*m + 1)/5
Let y be 0*((1 - 1) + (-2)/4). Let i be (2 - 0) + (2 - 1). Suppose 0 + 3/4*m**2 + y*m + 3/4*m**i = 0. What is m?
-1, 0
Factor 63/4*c - 49/4 + 1/4*c**3 - 15/4*c**2.
(c - 7)**2*(c - 1)/4
Let z(y) be the second derivative of -5/2*y**3 + y**4 + 3*y**2 - 3/20*y**5 + 0 - 7*y. Factor z(q).
-3*(q - 2)*(q - 1)**2
Let g(a) be the first derivative of 0*a - 1/3*a**3 - 4 - a**2. Factor g(k).
-k*(k + 2)
Factor 10/7*g**2 + 2/7*g**3 + 8/7*g + 0.
2*g*(g + 1)*(g + 4)/7
Suppose 3*i - 4*i + 5*o = 1, 3*o = -2*i + 11. Let l = -4 + i. Suppose l + 1/2*p**5 - 1/2*p**2 - 1/2*p**3 + 0*p + 1/2*p**4 = 0. Calculate p.
-1, 0, 1
Factor -10*i**2 + 11*i + 25*i - 8*i**2 + 2*i**2 - 8.
-4*(i - 2)*(4*i - 1)
Suppose 2*y - 1 = 5*d - 16, -2*d + 6 = -y. Factor -2/7*f**4 + 0*f + 2/7*f**3 + 0*f**2 + y.
-2*f**3*(f - 1)/7
Factor -10/7*b + 4/7 - 2/7*b**3 + 8/7*b**2.
-2*(b - 2)*(b - 1)**2/7
Determine g, given that -20*g**2 - 34*g - 4 + 6*g - 6 + 2 = 0.
-1, -2/5
Let m be 780/104*(16/(-6))/(-4). Factor 0 - 3/2*h**3 - 1/6*h**m + 7/6*h**2 - 1/3*h + 5/6*h**4.
-h*(h - 2)*(h - 1)**3/6
Let k(v) be the second derivative of v**4/3 + 10*v**3/3 + 8*v. Factor k(q).
4*q*(q + 5)
Let j(u) be the third derivative of -2*u**7/525 + u**6/75 + u**5/75 - u**4/15 - 5*u**2. Suppose j(a) = 0. What is a?
-1, 0, 1, 2
Let p(h) = 8 - 4*h + 3*h + 2*h. Let w be p(-6). Let -24*n**4 + 2*n**2 - 6*n**3 - 12*n**5 + 2*n**2 - w*n**5 = 0. What is n?
-1, 0, 2/7
Let b be -1 + 3/24 + -1. Let t = b + 19/8. Solve -1/4*c**2 - 1/4 - t*c = 0 for c.
-1
Let a be (-12)/(-10)*(20/12 - 0). Factor -1/4*x**3 + 0 