+ 3*s + 3. Let k(v) = 4*f(v) + 3*y(v). Suppose k(c) = 0. Calculate c.
-1, 0, 1
Factor 126*o**4 - 6*o**3 - 127*o**4 + 10*o**3 - 2*o**2 - 4*o + 3.
-(o - 3)*(o - 1)**2*(o + 1)
Suppose -3*s = -8*s + 10. Let w be -1*0*s/6. Solve 0 + 0*a - 4/3*a**4 - 2/3*a**3 - 2/3*a**5 + w*a**2 = 0.
-1, 0
Factor -46*g**2 - 85*g**4 + 44*g**4 - 8*g - 4*g + 31*g**4 - 44*g**3.
-2*g*(g + 1)*(g + 3)*(5*g + 2)
Suppose d + 4 + 0*d**3 - 4*d**2 - 2*d**3 - 3*d + 4*d**3 = 0. What is d?
-1, 1, 2
Let r(j) = -2. Let x(l) = -5*l**4 - 7*l**3 + 3*l**2 + 7*l + 12. Let n(z) = 10*r(z) + 2*x(z). Find m such that n(m) = 0.
-1, -2/5, 1
Factor -14/5*v**2 - 2*v**3 + 0 - 4/5*v.
-2*v*(v + 1)*(5*v + 2)/5
Let h(n) be the first derivative of -2*n**5/5 - n**4/2 + 2*n**3/3 + n**2 + 5. Determine b so that h(b) = 0.
-1, 0, 1
Let w(r) = r**3 + 7*r**2 + 6*r + 3. Let v be w(-6). Factor -p**2 + 2*p**4 - 3*p**3 + 2 - 2*p + 5*p - v*p**4.
-(p - 1)*(p + 1)**2*(p + 2)
Let c(g) be the third derivative of g**6/280 + g**5/70 + 8*g**2. Factor c(p).
3*p**2*(p + 2)/7
Let t(w) be the third derivative of w**7/315 + w**6/18 + 2*w**5/5 + 3*w**4/2 + 3*w**3 - 57*w**2. Let t(v) = 0. Calculate v.
-3, -1
Factor -7*d**2 + 4*d + 9*d**2 + 2*d**2.
4*d*(d + 1)
Let o be -6 - -5 - 393/21. Let k = 20 + o. Solve 4/7*p**2 - k*p**3 + 0*p + 0 = 0 for p.
0, 2
Suppose 0 = x + 4*x - 20. Let r(u) be the first derivative of -1/3*u**2 + 16/9*u**3 - 8/3*u**x + 2 + 0*u. Determine m so that r(m) = 0.
0, 1/4
Let o(k) be the second derivative of 3/10*k**6 - 9/20*k**5 - 6*k + 0*k**3 + 0*k**2 + 1/4*k**4 + 0 - 1/14*k**7. Let o(z) = 0. What is z?
0, 1
Let z(u) = -u**3 - 8*u**2 + 9*u + 3. Let p be z(-9). Let a(l) be the first derivative of 0*l**p + 0*l**2 - 1/16*l**4 + 3 - 1/20*l**5 + 0*l. Factor a(c).
-c**3*(c + 1)/4
Let w(h) be the third derivative of h**6/720 - h**5/72 + h**4/48 + h**3/4 - 5*h**2. Factor w(z).
(z - 3)**2*(z + 1)/6
Let u be (-21)/(-20) + 0 + (-9)/(-12). Find y, given that 3/5*y - 3/5*y**4 + u*y**3 - 9/5*y**2 + 0 = 0.
0, 1
Let r(y) be the third derivative of y**5/300 - y**4/40 + y**3/15 + 5*y**2. Factor r(p).
(p - 2)*(p - 1)/5
Let b(h) be the third derivative of -7*h**6/1080 - h**5/30 + h**4/18 - h**3/3 - 2*h**2. Let l(y) be the first derivative of b(y). Suppose l(z) = 0. Calculate z.
-2, 2/7
Suppose 0*n**2 + 3*n**2 - 5 - 7 + 0*n**2 = 0. Calculate n.
-2, 2
Let q(v) = 2*v + 8. Let t be q(-6). Let d be (2 - t)*(-3)/(-9). Solve 3 - l**2 - 6*l + 4*l**d + 0*l**2 = 0 for l.
1
Let b(h) be the third derivative of h**8/40320 + h**5/10 + 6*h**2. Let q(w) be the third derivative of b(w). Factor q(o).
o**2/2
Factor -1/10*g**2 + 0 + 1/2*g.
-g*(g - 5)/10
Let a be 1/(-2)*(-40)/10. Suppose a*t = t + 2. Factor -2/11*o**3 + 0*o**t + 4/11 + 6/11*o.
-2*(o - 2)*(o + 1)**2/11
Let b = 1354/1705 + 2/341. What is c in -2/5*c**3 + 0 + b*c**2 + 0*c = 0?
0, 2
Let h(y) be the second derivative of y**6/50 + 9*y**5/50 + 3*y**4/5 + y**3 + 9*y**2/10 + 16*y. Solve h(i) = 0 for i.
-3, -1
Let i(j) be the first derivative of 3*j**4/4 - 9*j**3 + 81*j**2/2 - 81*j + 8. Factor i(o).
3*(o - 3)**3
Let g(d) be the second derivative of d**5/100 - d**4/5 + 8*d**3/5 - 32*d**2/5 + 4*d. Factor g(y).
(y - 4)**3/5
Let b(h) = -h**2 + 25*h - 66. Let d be b(22). Let 0 + 1/2*o**5 + d*o**4 - 1/2*o**3 + 0*o**2 + 0*o = 0. What is o?
-1, 0, 1
Let j = -72 - -75. Factor 8/3*h**2 + 2*h**j + 2/3*h + 0.
2*h*(h + 1)*(3*h + 1)/3
Let o(v) be the second derivative of -1/4*v**6 + 39/40*v**5 - 9/8*v**4 - 1/4*v**3 + 0 + 3/2*v**2 + 6*v. What is y in o(y) = 0?
-2/5, 1
Let l(f) be the third derivative of -f**6/900 + f**5/300 + f**3/3 - 3*f**2. Let j(a) be the first derivative of l(a). Factor j(d).
-2*d*(d - 1)/5
Let c(j) = -j**2 + j + 1. Let t(f) be the second derivative of -f**5/10 - 2*f**4/3 + 7*f**3/3 + 6*f**2 - 3*f. Let p(v) = 8*c(v) - t(v). What is o in p(o) = 0?
-1, 2
Let m(p) = p + 10. Let y be m(-7). Let k(c) = c**3 - 4*c**2 + 3*c + 3. Let u be k(y). Factor 20*d**5 + 12*d**5 + 48*d**4 + 0*d**2 + 2*d**2 + 15*d**u + 3*d**3.
2*d**2*(d + 1)*(4*d + 1)**2
Let h = -713 - -3574/5. Factor 3/5*c**3 - h*c + 0*c**2 + 6/5.
3*(c - 1)**2*(c + 2)/5
Let q = -323/30 - -67/6. Let w = 22 - 88/5. Factor q*s**2 - 8/5*s**5 + 2/5*s + 0 + w*s**4 - 18/5*s**3.
-2*s*(s - 1)**3*(4*s + 1)/5
Let j = 55 + -51. Let s(p) be the second derivative of 0 - 1/120*p**6 + 0*p**j + 0*p**3 + 0*p**2 - 1/80*p**5 - 3*p. Factor s(n).
-n**3*(n + 1)/4
Let j(p) = 10*p**2. Let s be j(1). Let f be 352/20 + 4/s. Solve 2 - 9*x + x**2 + 0*x**4 - 9*x**5 - 5*x**2 + 2*x**4 + f*x**3 = 0 for x.
-1, 2/9, 1
Let y(l) be the third derivative of l**8/84 + 4*l**7/105 - 37*l**6/270 - 74*l**5/135 + 2*l**4/27 + 16*l**3/27 + 32*l**2. Find t such that y(t) = 0.
-2, -1/3, 1/3, 2
Let j = -134 - -406/3. Factor -2/3*w**3 - j*w - 2*w**2 + 0.
-2*w*(w + 1)*(w + 2)/3
Let d = 11/9 + 10/9. Let v(t) be the second derivative of 2*t**2 + 0 + 5/4*t**4 + 2*t - d*t**3 - 9/40*t**5. Suppose v(a) = 0. Calculate a.
2/3, 2
Let r(s) be the second derivative of -s**4/30 - s**3/15 + 2*s**2/5 - 3*s. Determine z so that r(z) = 0.
-2, 1
Factor -5/7 + 6/7*z - 1/7*z**2.
-(z - 5)*(z - 1)/7
Let u(t) be the first derivative of -5*t**6/3 - 48*t**5/35 - 2*t**4/7 + 11. Factor u(q).
-2*q**3*(5*q + 2)*(7*q + 2)/7
Suppose -o - 2 = -5. Let -6*x**2 - 2 + x**o + 3*x + 1 + 3*x**2 = 0. What is x?
1
Suppose -5*l + 40 = -3*i, -10 = -4*i - 30. Let v(r) be the third derivative of 0 - 4*r**2 + 0*r - 1/3*r**3 + 1/30*r**l + 0*r**4. Factor v(o).
2*(o - 1)*(o + 1)
Let g(k) be the first derivative of -1/3*k**3 + 0*k - 3 + 1/3*k**2 + 1/12*k**4. Determine d so that g(d) = 0.
0, 1, 2
Let f(x) be the second derivative of 0*x**2 + 1/195*x**6 + 0 - 4*x + 0*x**3 + 1/130*x**5 + 0*x**4. Factor f(m).
2*m**3*(m + 1)/13
Let y(c) = -c**2 - 8*c + 2. Let a be y(-7). Let x be ((-12)/a)/(6/(-9)). Factor -x*q**2 + 0 - 4/9*q.
-2*q*(9*q + 2)/9
Suppose -3*g - 4 = -4*u + 10, g + u = 0. Let a be (-6)/(-36) - g/24. Determine n, given that 0*n**4 + 0*n**2 + 0 + 0*n + 1/4*n**3 - a*n**5 = 0.
-1, 0, 1
Let m = -14 - -16. Factor 34*i**3 + 18*i**2 - 1 - 3 + i**m + 2*i + 15*i**4 - 6*i.
(i + 1)**2*(3*i + 2)*(5*i - 2)
Let y(m) be the third derivative of m**5/270 - m**4/18 - 7*m**3/27 - 2*m**2 + 9. Solve y(n) = 0 for n.
-1, 7
Let w(g) be the third derivative of 0*g**5 - 4*g**2 + 0 + 0*g**4 + 0*g**7 + 0*g + 0*g**3 + 0*g**6 - 1/504*g**8. Suppose w(t) = 0. What is t?
0
Let r(s) be the first derivative of -s**8/840 - 4*s**7/735 - 11*s**6/1260 - s**5/210 + 5*s**3/3 - 1. Let u(h) be the third derivative of r(h). Factor u(j).
-2*j*(j + 1)**2*(7*j + 2)/7
Let z(v) = v**4 - v**3 - v - 1. Let a(f) = -9*f**5 + 9*f**4 + 12*f**3 - 18*f**2 + 9*f + 9. Let w(m) = -a(m) - 6*z(m). Factor w(l).
3*(l - 1)**3*(l + 1)*(3*l + 1)
Let s = 2/49 + 31/441. Let y(j) be the first derivative of -1/6*j**2 - 2/3*j - 2 + s*j**3. Determine f so that y(f) = 0.
-1, 2
Let t be (-1)/7*(-1 - -1). Solve -1/3*v**5 + 1/3*v**3 + 2/3*v**2 + 0 - 2/3*v**4 + t*v = 0.
-2, -1, 0, 1
Let s(t) = -t**3 + 5*t**2 - t - 9. Let z be s(4). Let d(r) be the third derivative of 0 + 2*r**2 + 0*r - 1/120*r**5 + 0*r**4 + 1/12*r**z. Factor d(u).
-(u - 1)*(u + 1)/2
Solve -4*g**2 + 33*g**3 + 3 - 32*g**3 + 5*g - 5 = 0.
1, 2
Suppose -5*m = 2*u - 20, -4*u = -m - 9*u + 27. Let -3*o**m + 21/5*o**3 + 0 - 6/5*o = 0. What is o?
-2/7, 0, 1
Let t(y) be the first derivative of -50*y**6/3 - 28*y**5 - 11*y**4 - 4*y**3/3 - 19. Factor t(f).
-4*f**2*(f + 1)*(5*f + 1)**2
Suppose -5*y + 0 = 15. Let d be 4/(-2) + (-1 - y). Solve 5*a**2 + d*a**3 - 2*a**3 - 6*a + 2 + a**2 = 0.
1
Let z be 3*((-191)/(-189) + -1). Let b = z + 116/315. Determine g so that 2/5*g**4 + 0 - 2/5*g - 2/5*g**2 + b*g**3 = 0.
-1, 0, 1
Suppose -3*u - p - 4*p + 28 = 0, -3*u + 24 = 3*p. Factor 3*s**4 - 2*s**3 - 5*s**4 + u*s**5 + 2*s**3 - 4*s**3.
2*s**3*(s - 1)*(3*s + 2)
Solve -4/3*a - 2/3*a**2 + 2 = 0 for a.
-3, 1
Find i such that 8*i**3 + 260*i**4 + i - 36*i**5 - i - 232*i**4 = 0.
-2/9, 0, 1
Let p(t) be the third derivative of -3*t**2 + 1/315*t**7 + 0*t**3 + 0*t + 0 + 0*t**6 - 1/90*t**5 + 0*t**4. Determine a, given that p(a) = 0.
-1, 0, 1
Let x(y) be the second derivative of y**6/2340 - y**5/780 + y**3/2 + 5*y. Let j(w) be the second derivative of x(w). Factor j(s).
2*s*(s - 1)/13
Let c(q) be the first derivative of -1/2*q**6 - 3 - 9/2*q**4 - 12/5*q**5 - 3/2*q**2 - 4*