1 + 8). Factor 0*y - 1/5*y**i + 0.
-y**2/5
Let q = -2223/5 + 445. Factor q*x**3 + 0 + 0*x + 4/5*x**2.
2*x**2*(x + 2)/5
Let g(r) be the second derivative of r**7/11340 + r**6/1620 + r**4/6 + r. Let o(k) be the third derivative of g(k). Find p, given that o(p) = 0.
-2, 0
Let a be 4 + (-6 - -6) + 1. Let b(m) be the first derivative of -3 + 1/15*m**6 - 2/15*m**3 - 6/25*m**a + 0*m + 3/10*m**4 + 0*m**2. Factor b(g).
2*g**2*(g - 1)**3/5
Let t(r) be the first derivative of -1/2*r**3 - 3*r**2 - 4 - 6*r. Factor t(s).
-3*(s + 2)**2/2
Let w(q) be the second derivative of 7*q**6/225 - 19*q**5/150 + 4*q**4/45 + 4*q**3/45 - 16*q. Let w(u) = 0. Calculate u.
-2/7, 0, 1, 2
Let g(x) be the third derivative of x**8/1512 - 2*x**7/945 + x**5/135 - x**4/108 - 5*x**2. Solve g(z) = 0 for z.
-1, 0, 1
Let d(q) be the third derivative of -q**6/200 - q**5/50 + q**4/40 + q**3/5 + 8*q**2. Let d(u) = 0. What is u?
-2, -1, 1
Let r be (-3 + 34/10)*70. Suppose 4 + 64*h - 8*h**3 + 14*h**3 + 2*h**4 + 48*h**2 + 10*h**3 + r = 0. Calculate h.
-2
Let k(s) = 4*s**4 - 2*s**3 - 22*s**2 + 30*s - 14. Let l(a) = 4*a**4 - 3*a**3 - 21*a**2 + 29*a - 15. Let o(u) = 3*k(u) - 2*l(u). What is j in o(j) = 0?
-3, 1
Let z(l) be the second derivative of l**7/315 + 7*l**6/225 + 3*l**5/25 + 2*l**4/9 + 8*l**3/45 - 7*l - 6. Factor z(b).
2*b*(b + 1)*(b + 2)**3/15
Find i, given that 0 - 2/3*i**2 - 4/15*i**3 + 2/15*i**4 + 4/5*i = 0.
-2, 0, 1, 3
Let s(t) = -t**3 - 9*t**2 - 8*t + 9. Let p(o) = 2*o**2 + 2*o - 2. Let b(n) = 9*p(n) + 2*s(n). Let b(j) = 0. What is j?
-1, 0, 1
Suppose -4*j - 3*r - 23 = 0, -17 = -5*j + j + 5*r. Let t be (-2 - -1 - -1)/j. Factor -2*u**2 - 2 + 5*u + t*u - u.
-2*(u - 1)**2
Let q(a) = 3*a**3 + a**2 + 7. Let k(x) be the second derivative of -x**5/10 - x**4/12 - 5*x**2/2 - 7*x. Let j(b) = 7*k(b) + 5*q(b). Factor j(w).
w**2*(w - 2)
Solve -4/19 - 14/19*m + 10/19*m**2 + 8/19*m**3 = 0.
-2, -1/4, 1
Let s(u) be the third derivative of 25*u**8/672 - 2*u**7/21 + u**6/40 + u**5/15 + u**4/48 + 11*u**2. Find g, given that s(g) = 0.
-1/5, 0, 1
Let y(n) be the second derivative of 0*n**4 + 2*n + 1/25*n**6 + 0*n**3 + 0 + 0*n**2 - 1/25*n**5 - 1/105*n**7. Factor y(b).
-2*b**3*(b - 2)*(b - 1)/5
Let t(y) = y**4 + y**3 + y. Let v = 7 + -3. Let p(c) = -5*c**4 - c**3 - c**2 - 7*c + 2. Let q(d) = v*t(d) + p(d). Determine j so that q(j) = 0.
-1, 1, 2
Factor 1252*m**4 - 1251*m**4 - m**2 - m + 0*m**2 + m**3.
m*(m - 1)*(m + 1)**2
Let f(l) be the third derivative of l**10/50400 - l**9/10080 + l**7/840 - l**6/240 + l**5/12 - 3*l**2. Let v(o) be the third derivative of f(o). Solve v(g) = 0.
-1, 1
Let i(f) be the second derivative of -4*f + 2/39*f**3 + 0 + 1/13*f**2 + 1/78*f**4. Factor i(m).
2*(m + 1)**2/13
What is y in 3*y + 55*y**2 - 87*y**2 - 13*y + 4 - 18*y**3 = 0?
-1, 2/9
Let o(x) = 4*x**4 + 3*x**2 - 7*x - 7. Let v(j) = 3*j**4 + 2*j**2 - 5*j - 5. Let u(y) = 5*o(y) - 7*v(y). Determine s so that u(s) = 0.
-1, 0, 1
Let r(k) = k + 4. Let t be r(-4). Factor -4*w**2 + 4*w**4 + 3*w + t*w**4 + 0*w**2 - 2*w**5 - w.
-2*w*(w - 1)**3*(w + 1)
Let r(k) be the second derivative of k**6/90 + k**5/60 - k**4/36 - k**3/18 - 5*k. What is w in r(w) = 0?
-1, 0, 1
Let h be 10/(-4)*32/40. Let j be (5/h - 1)*-2. Factor -7 + j + 3*r - 2 - r**2.
-(r - 2)*(r - 1)
Suppose 5*k - 9 = 2*k. Let y(j) be the third derivative of -1/300*j**6 + 1/840*j**8 + k*j**2 - 1/150*j**5 + 0*j**4 + 0*j**3 + 0 + 0*j + 1/525*j**7. Factor y(w).
2*w**2*(w - 1)*(w + 1)**2/5
Let p = 39 - 21. Let t = 4 - 2. Factor 2*x**3 + 18 - t*x - p.
2*x*(x - 1)*(x + 1)
Let k(c) be the second derivative of -1/3*c**3 - 3*c - c**2 + 1/10*c**5 + 1/6*c**4 + 0. Suppose k(x) = 0. What is x?
-1, 1
Let j(t) be the first derivative of -t**4/4 + 2*t**3/3 - t**2/2 + 4. Determine u, given that j(u) = 0.
0, 1
Let o(h) = h**2 - 17*h + 70. Let v be o(11). Factor 14*f**v + 8/11*f**2 + 64/11*f**3 + 0 + 0*f + 98/11*f**5.
2*f**2*(f + 1)*(7*f + 2)**2/11
Suppose -3/7*d**3 + 0*d + 9/7*d**2 - 12/7 = 0. What is d?
-1, 2
Let w(b) be the third derivative of b**6/180 - b**5/15 + b**4/4 - b**3/3 + 2*b**2. Let q(i) be the first derivative of w(i). Determine g, given that q(g) = 0.
1, 3
Let j(d) = -d**3 + 10*d**2 - 9*d. Let z be j(9). Let p(v) be the first derivative of 2 + 0*v + z*v**2 + 2/65*v**5 + 2/39*v**3 - 1/13*v**4. Factor p(k).
2*k**2*(k - 1)**2/13
Suppose -6*q = -10*q. Let j(k) be the third derivative of q*k + 0 - 1/30*k**3 + k**2 - 1/300*k**5 - 1/60*k**4. Solve j(b) = 0 for b.
-1
Suppose -1/12*m + 1/6 - 1/12*m**2 = 0. What is m?
-2, 1
Let p(j) be the third derivative of -j**8/30240 - j**7/7560 - j**5/60 - j**2. Let o(c) be the third derivative of p(c). Find q such that o(q) = 0.
-1, 0
Let h(k) be the first derivative of -2*k**5/15 + k**4/6 + 2*k**3/9 - k**2/3 - 21. Factor h(f).
-2*f*(f - 1)**2*(f + 1)/3
Find k, given that 4/15*k - 8/15*k**3 + 0 - 14/15*k**2 = 0.
-2, 0, 1/4
Let i(a) be the second derivative of -3*a**5/20 + 7*a**4/4 - 15*a**3/2 + 27*a**2/2 - 5*a. Find o such that i(o) = 0.
1, 3
Suppose q - 4*r - 6 = 0, -2*q + 4*q - r - 5 = 0. Factor z - 2*z - 18*z**q + 14*z**3 + 5*z.
2*z*(z - 1)*(7*z - 2)
Let l(i) be the first derivative of i**6/96 + i**5/80 - i**4/48 + i**2 + 2. Let p(q) be the second derivative of l(q). What is k in p(k) = 0?
-1, 0, 2/5
Let h(b) be the first derivative of 0*b**2 - 2/3*b**3 - 2 - 1/4*b**4 + 0*b. Factor h(p).
-p**2*(p + 2)
Factor -4*c - c - 4 - 499*c**2 + 498*c**2.
-(c + 1)*(c + 4)
Suppose -4 = 5*d - 19. Determine b so that 4*b**2 - 2*b**3 + 2*b**3 - 4*b**d + 0*b**3 = 0.
0, 1
Suppose -2*y - 3 = -3*y, 3*o - 2*y = 6. Let -o*q - 4 + 0*q**3 + 2*q**4 + 2 + 4*q**3 = 0. Calculate q.
-1, 1
Suppose -4*k = k - 35. Let s(v) be the third derivative of 0*v - 1/40*v**5 + 0 - 1/840*v**k + 2*v**2 + 1/120*v**6 - 1/24*v**3 + 1/24*v**4. Factor s(w).
-(w - 1)**4/4
Let x(a) be the second derivative of 0*a**5 - 1/15*a**3 - 1/20*a**4 + 0 - 7*a + 0*a**2 + 1/150*a**6. Factor x(d).
d*(d - 2)*(d + 1)**2/5
Suppose 5*w + 1 = 11. Let o(j) be the second derivative of j + 0 + 0*j**3 + 1/30*j**4 + 0*j**5 + 0*j**w - 1/75*j**6. Factor o(y).
-2*y**2*(y - 1)*(y + 1)/5
Let f(k) be the second derivative of k**5/10 + k**4/2 + k**3 + k**2 + 16*k. Find c such that f(c) = 0.
-1
Factor 0 - 2/5*y**2 + 2/5*y.
-2*y*(y - 1)/5
Let w(v) be the second derivative of 0 - 5/2*v**5 - 8/3*v**6 + 5/6*v**4 + 5/3*v**3 - v**2 - 16/21*v**7 + 3*v. Factor w(i).
-2*(i + 1)**3*(4*i - 1)**2
Let x(t) = -t + 3. Let f be x(-1). Factor -1/3*j**f - 4/3*j**3 - 4/3*j - 2*j**2 - 1/3.
-(j + 1)**4/3
Let r(o) = 6*o + 12. Let h be r(7). Let l be (-12)/8 + 93/h. Suppose 4/9 + 10/9*a + 8/9*a**2 + l*a**3 = 0. Calculate a.
-2, -1
Let p = 193/4 - 48. Let l be 1 - 1 - (-3 + 1). Find f such that p*f + 0 + 1/4*f**l = 0.
-1, 0
Let y(w) be the first derivative of -2*w**5/45 + w**4/9 + 4. Factor y(m).
-2*m**3*(m - 2)/9
Let l(i) be the third derivative of i**6/15 + 23*i**5/15 + 10*i**4 - 24*i**3 - 12*i**2. Suppose l(u) = 0. Calculate u.
-6, 1/2
Let d be (-1)/3*(-80)/20. Let h(t) be the second derivative of 4/3*t**3 + 0 + 3*t + 1/2*t**2 + d*t**4. Factor h(l).
(4*l + 1)**2
Let z be 0 + (-3 - -2) + 5. What is a in -7*a**z - 31 + 10*a**2 - 18*a**3 - 7*a**4 + 35 + 18*a = 0?
-1, -2/7, 1
Determine b, given that 2/3*b**3 - 2/3*b**5 - 2/3*b**4 + 0 + 0*b + 2/3*b**2 = 0.
-1, 0, 1
Let v be (16/(-40))/((-4)/(-115)). Let y = v + 12. Suppose y*s**2 + 0 - s = 0. Calculate s.
0, 2
Let j(f) be the second derivative of -f**5/5 - f**4/3 + 2*f**3/3 + 2*f**2 - 2*f. Factor j(s).
-4*(s - 1)*(s + 1)**2
Let s(i) be the first derivative of 2/27*i**3 - 2/9*i + 1/18*i**4 - 3 - 1/9*i**2. Suppose s(d) = 0. Calculate d.
-1, 1
Let m = -8 + 15. Suppose 15*b**3 - 5*b**3 - m*b**3 + 15*b**4 = 0. What is b?
-1/5, 0
Let o(r) be the second derivative of r**4/12 + r**3/6 - r**2 - 17*r. Factor o(h).
(h - 1)*(h + 2)
Let s(w) be the third derivative of -w**6/1080 - w**5/360 - 2*w**3/3 + 3*w**2. Let o(u) be the first derivative of s(u). Solve o(l) = 0.
-1, 0
Let a = 2 + -3. Let u be (-15)/(-5) + 1 + a. Factor -8/7*p - 2/7*p**u + 0 + 8/7*p**2.
-2*p*(p - 2)**2/7
Let h be ((-3)/2)/(6/(-8)). Find y, given that -1 - y + 1 + 4*y + 3*y**h = 0.
-1, 0
Let d(o) be the third derivative of 0*o**4 + 0*o**7 + 0*o**3 + 1/168*o**8 - 1/20*o**6 + 1/15*o**5 + 0*o + 2*o**2 + 0. Factor d(s).
2*s**2*(s - 1)**2*(s + 2)