 340*o + 12. Let s(w) = -16*w**4 - 55*w**3 - 60*w**2 - 31*w - 1. Let q(t) = -32*s(t) - 3*v(t). Factor q(a).
-4*(a + 1)**3*(4*a + 1)
Suppose 2*x**4 - 2*x**5 + x**5 + x**3 - 8*x**2 + 4*x + 2*x**3 = 0. What is x?
-2, 0, 1, 2
Let z be (-6)/10 - ((-6)/(-5))/(-2). Let f(g) be the third derivative of 0 + 0*g**6 + 0*g**4 + z*g**3 - 1/120*g**5 - g**2 + 1/420*g**7 + 0*g. Factor f(j).
j**2*(j - 1)*(j + 1)/2
Let n be (-2)/9 + (-40)/(-18). Suppose 4*s - 15 = -n*w + 3*w, 0 = -2*w - 5*s + 35. Factor w*z + 0*z - z - 2*z**2 + 0*z.
-2*z*(z - 2)
Let r(g) be the third derivative of g**8/1848 + g**7/385 + g**6/220 + g**5/330 + 5*g**2. Factor r(d).
2*d**2*(d + 1)**3/11
Let m(p) be the first derivative of -p**6/56 - 3*p**5/140 + p**4/28 + 3*p**2/2 - 8. Let i(a) be the second derivative of m(a). Determine n, given that i(n) = 0.
-1, 0, 2/5
Suppose -5*x - 4*y + 7 = -2*y, -x - 3*y = 9. Suppose -x*n + 4*n = 4. Factor -n*h**2 + 2*h**3 - 1/3*h**4 + 0 + 8/3*h.
-h*(h - 2)**3/3
Let u(b) be the second derivative of -b**6/75 + 3*b**5/50 - b**4/10 + b**3/15 + b. Find d such that u(d) = 0.
0, 1
Let p(a) be the first derivative of -1/33*a**6 - 2/11*a + 4/33*a**3 - 2/55*a**5 - 5 + 1/11*a**4 - 1/11*a**2. Determine z so that p(z) = 0.
-1, 1
Solve -3*n**2 + 7*n**4 + n**4 - 6*n + 17*n**3 - 5*n**3 + n**4 = 0.
-1, 0, 2/3
Let m = -4733/18 - -263. Let u(c) be the second derivative of 0 + c + m*c**4 + 0*c**2 - 1/45*c**6 + 1/9*c**3 - 1/30*c**5. Find g, given that u(g) = 0.
-1, 0, 1
Factor -2/19*p**3 + 6/19*p + 4/19 + 0*p**2.
-2*(p - 2)*(p + 1)**2/19
Suppose -32 = c - 4*x, 0 = -c + 2*c + 4*x + 40. Let n be 2*3/c*-3. Factor -n*l**3 + 0 + 1/2*l**2 + l.
-l*(l - 2)*(l + 1)/2
Suppose 2*n - 5*i = -2, n = 3*i - 1 - 1. Let 1/3*z**3 + 0 + 0*z + 1/3*z**n - 1/3*z**2 - 1/3*z**5 = 0. Calculate z.
-1, 0, 1
Let c(i) be the second derivative of 0 + i - 2/3*i**4 + 4/3*i**3 + 1/10*i**5 + 0*i**2. Factor c(m).
2*m*(m - 2)**2
Let j(a) be the third derivative of 0 + 0*a + 3/8*a**4 - 3/40*a**6 - 1/30*a**5 - 4*a**2 + 1/3*a**3. Factor j(b).
-(b - 1)*(b + 1)*(9*b + 2)
Suppose b = 5*n + 3*b - 14, 2*n + 4*b + 4 = 0. Factor u**n + 6 - 6 - 4*u**3 + 4*u**2.
u**2*(u - 2)**2
Suppose 15*s = 4*s + 44. Let 2/9*n**3 - 2/9*n**2 + 0 + 2/9*n**s - 2/9*n = 0. What is n?
-1, 0, 1
Suppose -b = 2*q - 6, 0*b - 13 = -q - 3*b. Let g(c) = c**3 - 2*c**2 + c. Let h be g(q). Find a, given that h*a + 1/4 - 1/4*a**2 = 0.
-1, 1
Let n(r) be the first derivative of -3 + 2*r - 2/3*r**3 + 1/2*r**2 - 1/4*r**4. What is k in n(k) = 0?
-2, -1, 1
Suppose q - 2*q = -5. Suppose 2*u + q = -5*h, -2*u + 2*h + 7 = 3*h. Factor 190*g**4 + 194*g**2 + 8 - 278*g**3 + 21*g**5 - 64*g - 17*g**5 - 54*g**u.
-2*(g - 1)**3*(5*g - 2)**2
Let p be (-12)/(-32)*(-6)/(-9). Let i(y) be the second derivative of 0 - p*y**2 + 1/24*y**4 + 2*y + 0*y**3. Factor i(m).
(m - 1)*(m + 1)/2
Suppose 0 = -4*v - 2*y + 16, -2*v - 3*y + 16 = -4*y. Let s(z) be the first derivative of 0*z + z**2 - z**4 + 0*z**3 + 1/3*z**v + 0*z**5 + 3. Factor s(b).
2*b*(b - 1)**2*(b + 1)**2
Find d, given that 0*d**4 + 9*d**4 - 6*d - 12*d**4 + 9*d**2 = 0.
-2, 0, 1
Suppose -59*f - 39 = -72*f. Let j be (1/(-6))/((-2)/4). Factor 0 + j*r**f + 1/3*r + 2/3*r**2.
r*(r + 1)**2/3
Let d(u) = -4 + u**2 + 4*u - 2*u**2 + u. Let y be d(3). Let m + y*m**3 + 6*m**2 + m + 4*m + 2 = 0. Calculate m.
-1
Factor 3*k + k + 9*k**2 + 7*k**3 - 2*k + 0*k**3.
k*(k + 1)*(7*k + 2)
Let x(c) be the first derivative of -3 + 2*c - c**4 + 0*c**3 + 2*c**2 - 2/5*c**5. Find k such that x(k) = 0.
-1, 1
Let a(h) be the second derivative of 1/54*h**4 - 2/9*h**2 - 2*h + 1/27*h**3 + 0. Find v, given that a(v) = 0.
-2, 1
Let q = 10 + 20. Let b be (-3)/18 - (-5)/q. Factor 0*j + 0*j**4 + 0*j**2 + 1/2*j**5 + b - 1/2*j**3.
j**3*(j - 1)*(j + 1)/2
Let g be 2*1*(-6)/(12/(-5)). Let y(n) be the third derivative of 0*n**3 + 0 - n**2 + 0*n**4 + 0*n + 1/330*n**g. Factor y(d).
2*d**2/11
Let r(w) be the second derivative of 3*w**5/40 - w**4/8 - w**3/2 - 2*w. Let r(h) = 0. Calculate h.
-1, 0, 2
Let s(w) be the third derivative of w**6/1980 - w**4/132 - w**3/6 + 4*w**2. Let r(l) be the first derivative of s(l). Factor r(j).
2*(j - 1)*(j + 1)/11
Let g = -63 + 253/4. Factor g*d**2 - 1/4*d + 0.
d*(d - 1)/4
Let j(i) = 5*i**4 + 6*i**3 - 5*i**2 - 6*i. Let z(w) = 11*w**2 + 19*w - 6*w - 4*w**4 - 10*w**3 - 7*w**4 - 3*w**3. Let g(m) = 13*j(m) + 6*z(m). Factor g(v).
-v**2*(v - 1)*(v + 1)
Let c(k) be the first derivative of -2 - k + 0*k**2 + 1/9*k**3 - 1/30*k**5 + 0*k**4. Let t(h) be the first derivative of c(h). Factor t(g).
-2*g*(g - 1)*(g + 1)/3
Let n = -70 - -72. Solve -3/2*s**n + 0 - 3/2*s = 0 for s.
-1, 0
Let a(c) be the first derivative of -3*c**4/4 + c**3 + 3*c**2/2 - 3*c + 2. Factor a(z).
-3*(z - 1)**2*(z + 1)
Suppose 5*m + 0*m + b - 6 = 0, 2*m + 2*b = -4. What is o in 0 - o**2 + o**4 + 2 - m*o**4 + 3*o - 3*o**3 = 0?
-2, -1, 1
Suppose 3 = -0*a + 3*a, 0 = -4*i - 2*a + 662. Let q = i - 491/3. Suppose q + 5/3*f**2 - 4*f = 0. What is f?
2/5, 2
Let p(n) be the second derivative of 1/2*n**2 + 1/4*n**4 + 0 - 1/2*n**3 + 2*n - 1/20*n**5. Factor p(u).
-(u - 1)**3
Suppose 3*d**2 + 30*d**3 - 6*d**5 - 24*d - 7*d**4 + 12*d**2 + 4*d**4 - 12 = 0. Calculate d.
-2, -1, -1/2, 1, 2
Suppose 0 = -y + 6*y - 20. Solve 3 + 1 + 8*k**3 - 4*k**y - k - 7*k = 0 for k.
-1, 1
Let x(f) = -6*f**2 + 11 + 15*f - 8*f**3 - 1 - 5*f + 2*f. Let a(d) = -7*d**3 - 5*d**2 + 11*d + 9. Let h(l) = 6*a(l) - 5*x(l). Factor h(y).
-2*(y - 2)*(y + 1)**2
Factor -37 - 3*v**2 + 37 - 5*v - v.
-3*v*(v + 2)
Let s(x) be the third derivative of x**7/560 - 7*x**6/1440 - x**5/480 + x**4/48 - x**3/6 + 2*x**2. Let w(g) be the first derivative of s(g). Factor w(a).
(a - 1)*(2*a + 1)*(3*a - 2)/4
Let p(i) be the second derivative of i**4/4 + 2*i**3 + 31*i - 1. Factor p(l).
3*l*(l + 4)
Let h(s) be the second derivative of 3*s + 1/5*s**5 + 2/3*s**4 + 0 + 2/3*s**3 + 0*s**2. Let h(v) = 0. Calculate v.
-1, 0
Factor -1/3*r**3 + 1/9*r**5 + 0*r - 2/9*r**2 + 0 + 0*r**4.
r**2*(r - 2)*(r + 1)**2/9
Let v(b) be the second derivative of -2*b**6/15 - 3*b**5/5 + b**4/3 + 2*b**3 + 5*b. What is c in v(c) = 0?
-3, -1, 0, 1
Let c be 0 - (-3)/6*0. Let a be c*(7/(-2) - -3). Factor 0 + a*l - 1/2*l**3 + l**2.
-l**2*(l - 2)/2
Let u = -11 + 16. Let p(g) be the third derivative of -1/735*g**7 + 0*g**3 + 1/420*g**6 + 0 + 1/210*g**u + 0*g - 1/84*g**4 + 2*g**2. Factor p(z).
-2*z*(z - 1)**2*(z + 1)/7
Let f be ((-3)/4)/(3/(-12)). Let q(c) be the third derivative of 0*c + 0*c**4 - 2*c**2 + 0 - 1/420*c**6 + 0*c**f + 1/210*c**5. Factor q(k).
-2*k**2*(k - 1)/7
Let o be 1*((-16)/12)/(-4). Let y(x) be the third derivative of 0*x + 1/15*x**6 - 1/3*x**3 - x**2 + 0 - 1/5*x**5 + o*x**4 - 1/105*x**7. Factor y(c).
-2*(c - 1)**4
Let o(h) be the second derivative of h**6/25 - h**4/10 + h. Suppose o(f) = 0. What is f?
-1, 0, 1
Let k(c) be the first derivative of -c**4/5 + 8*c**3/15 - 2*c**2/5 - 6. Factor k(r).
-4*r*(r - 1)**2/5
Let x = 43/455 - -1/182. Let o(i) be the second derivative of 0 - i - 1/4*i**2 - 1/4*i**4 - 1/60*i**6 + 1/3*i**3 + x*i**5. What is u in o(u) = 0?
1
Let u(k) be the second derivative of k**6/60 - k**5/10 + k**4/4 - k**3/3 + k**2/4 + 23*k. Factor u(q).
(q - 1)**4/2
Let c(o) = o - 1. Let b be c(1). Let i(r) = -r**2 - 9*r + 2. Let k be i(-9). Let -u**k - u**2 + u**4 + b*u**4 + 1 = 0. Calculate u.
-1, 1
Let d = 29 + -17. Factor d*h**2 + 8 + 32*h - 2*h**2 + 20*h**2 + 0*h**2.
2*(3*h + 2)*(5*h + 2)
Suppose -2*r + 1 = -u, -2*u - 5*r + 4 = -4*u. Find x such that u*x + 2*x**2 + x**3 + 1 + 3*x**2 - 2*x**2 = 0.
-1
Let j be -4*(115/4)/5. Let c = j - -23. Let c + 2/5*g - 1/5*g**2 = 0. What is g?
0, 2
Let z(p) be the second derivative of p**4/15 + p**3/6 + p**2/10 + p. Factor z(y).
(y + 1)*(4*y + 1)/5
Suppose 6*a - 5*a**3 - 12*a**5 + 91*a**2 + 38*a**3 - 64*a**2 = 0. Calculate a.
-1, -1/2, 0, 2
Let f(j) be the second derivative of 8/7*j**2 + 0 - j - 4/7*j**3 - 1/70*j**5 + 1/7*j**4. Find g such that f(g) = 0.
2
Let x(n) be the third derivative of -n**7/350 + n**6/200 + 3*n**5/100 - n**4/8 + n**3/5 - n**2 + 2*n. Factor x(l).
-3*(l - 1)**3*(l + 2)/5
Let t(d) = 2*d**2 - 10*d + 11. Let g be t(4). Let k(p) be the first derivative of -11/4*p**5 + 25/24*p**6 + 23/12*p**g - p - p**2 + 19/16*p**4 - 3. Factor k(y).
(y - 1)**3*(5*y + 2)**2/4
Let b be 4/10 + 313/5. Suppose z = u + 4*u - 17,