m + 3. Suppose 5 = 5*x - 5. Let i = 0 - x. Let v(l) = l**3 - l**2 - 2*l - 2. Let p(y) = i*z(y) - 3*v(y). Factor p(r).
r**2*(r - 1)
Let y be (-2 + -3)/(2/(-2)). Let z(j) be the third derivative of -1/420*j**7 + 0*j + 0 - 2*j**2 + 0*j**3 + 1/120*j**6 + 0*j**4 + 0*j**y. Factor z(k).
-k**3*(k - 2)/2
Let q(w) = -5*w**3 + 8*w**2 + 7*w + 2. Let h(m) = -m**3 + m**2 - m + 1. Let p(z) = -2*h(z) + q(z). Let p(g) = 0. Calculate g.
-1, 0, 3
Let u be 13/((-20)/12 - -2). Let d be 6/u + (-84)/(-130). Factor 14/5*t**2 - 18/5*t + d.
2*(t - 1)*(7*t - 2)/5
Factor 4/5*b**5 + 0*b + 4/5*b**2 + 0 - 4/5*b**4 - 4/5*b**3.
4*b**2*(b - 1)**2*(b + 1)/5
Let c(q) be the first derivative of -q**3/3 + 3*q**2 - 9*q - 12. Factor c(s).
-(s - 3)**2
Let w(s) = -4*s**2 - 7*s - 9. Let h(t) = t**2 + 2*t + 2. Let d(j) = -9*h(j) - 2*w(j). Factor d(p).
-p*(p + 4)
Let -80*v - 17*v**5 - 19*v**5 - 24*v**4 - 8*v**2 + 155*v**3 + 32 - 39*v**3 = 0. What is v?
-2, -1, 2/3, 1
Suppose -w = -3*w - 4*o - 8, 0 = 5*w - o - 24. Let x be (0/((-6)/3))/1. Determine a so that -a**3 + 2*a**4 + x*a**4 - a**2 - 3*a**w - a**3 = 0.
-1, 0
Suppose 0 = 9*w - 6*w + 12, -3*w = 4*j. Let -2/7*a**j - 6/7*a**2 - 6/7*a - 2/7 = 0. What is a?
-1
Factor 1/7*g**2 - 20/7*g + 3/7*g**3 + 12/7.
(g - 2)*(g + 3)*(3*g - 2)/7
Let a = 0 - -2. Let v = 4 - 2. Factor 0*d**a - d**v - d**2 - 2*d.
-2*d*(d + 1)
Let k(t) be the second derivative of -2*t + 1/126*t**7 - 1/60*t**5 + 0*t**2 + 0 - 1/36*t**4 + 1/90*t**6 + 0*t**3. Suppose k(x) = 0. What is x?
-1, 0, 1
Let y be (-1 + 0)/((-1)/3). Let p(s) = s. Let m be p(y). Determine r, given that m*r + 0 - 3/2*r**2 = 0.
0, 2
Let o(c) be the second derivative of c**7/42 - 3*c**5/20 - c**4/6 + 7*c. Suppose o(m) = 0. What is m?
-1, 0, 2
Let s(r) be the second derivative of r**4/54 + 2*r**3/9 + r**2 + 8*r. Factor s(l).
2*(l + 3)**2/9
Let 10*w**5 + 14*w**4 - 4*w - 14*w**3 + 2*w**3 - 20*w**2 + 6*w**5 + 6*w**4 = 0. Calculate w.
-1, -1/4, 0, 1
Suppose -i + 1 = 2, 14 = 4*f + 2*i. Let 0*u + 1/2*u**f - 1/2*u**5 + 0*u**3 + 0*u**2 + 0 = 0. Calculate u.
0, 1
Let c(b) be the third derivative of -1/630*b**7 + 1/90*b**5 + 0*b**6 + 0 + 0*b + 3*b**2 - 1/18*b**3 + 0*b**4. Solve c(g) = 0.
-1, 1
Let f(r) be the first derivative of 0*r + 1/18*r**6 - 1/15*r**5 - 1/12*r**4 + 1 + 1/9*r**3 + 0*r**2. Factor f(g).
g**2*(g - 1)**2*(g + 1)/3
Suppose 4*h + i - 36 = -0, 0 = 5*i + 20. Let k = h - 7. Factor -2*r + 6*r**3 - 5*r + r**k + 2 + 3*r**2 - 5*r**4.
-(r - 1)**2*(r + 1)*(5*r - 2)
Let f be -2 - (2*-11 + 0). Let -2 - 10*h + 2 - 20*h**3 + 10*h**4 - 2*h**5 + f*h**2 + 2 = 0. Calculate h.
1
Let k(w) be the first derivative of -2*w**3/27 - w**2/9 - 3. Suppose k(t) = 0. What is t?
-1, 0
Let m(v) be the third derivative of v**5/210 - v**4/84 - 2*v**3/21 + 18*v**2. Factor m(n).
2*(n - 2)*(n + 1)/7
Let d(v) be the second derivative of -4*v + 0 + 1/3*v**4 + 1/9*v**2 + 1/27*v**6 + 8/27*v**3 + 8/45*v**5. Find z, given that d(z) = 0.
-1, -1/5
Let i(x) be the first derivative of x**6/180 - x**4/12 - 2*x**3/9 - 2*x**2 - 4. Let p(o) be the second derivative of i(o). Factor p(d).
2*(d - 2)*(d + 1)**2/3
Let d be (12 + -13)/(1/11). Let a = d + 11. Suppose a*u**2 - 1/2*u**4 + u - u**3 + 1/2 = 0. Calculate u.
-1, 1
Let h = 372 - 370. Determine p so that 0 - 1/2*p**h - 5/4*p**5 - 1/4*p**3 + 2*p**4 + 0*p = 0.
-2/5, 0, 1
Let m(y) = -5*y**2 + 45*y - 20. Let f(o) = 2*o**2 - 23*o + 9. Let r(d) = -5*f(d) - 3*m(d). Factor r(v).
5*(v - 3)*(v - 1)
Let v(z) be the second derivative of z**6/12 + 3*z**5/10 + 3*z**4/8 + z**3/6 - 13*z. Factor v(i).
i*(i + 1)**2*(5*i + 2)/2
Let z(p) be the third derivative of -p**7/735 + p**5/70 - p**4/42 - 4*p**2. Factor z(s).
-2*s*(s - 1)**2*(s + 2)/7
Let i(h) = 7*h**3 - 4*h**2 - 7*h + 7. Let o(k) = -76*k**3 + 44*k**2 + 76*k - 76. Let u(z) = -32*i(z) - 3*o(z). Solve u(l) = 0 for l.
-1, 1
Let g(k) be the first derivative of -k**6/3 - k**5/5 + 3*k**4/4 + k**3/3 - k**2/2 + 17. Suppose g(q) = 0. What is q?
-1, 0, 1/2, 1
Let d be 1/(3 - (-20)/(-8)). What is r in -5*r**2 - r**2 + d*r + 8*r**2 = 0?
-1, 0
Factor 6*g - 3*g - 5*g + 2*g**3.
2*g*(g - 1)*(g + 1)
Let j(q) be the second derivative of q**5/140 - q**3/14 - q**2/7 + 28*q. Find p such that j(p) = 0.
-1, 2
Let x = -18 + 13. Let s be (-28)/(-9)*x/(-10). Determine g, given that 8/9 - 2*g**2 + 8/3*g - s*g**3 = 0.
-2, -2/7, 1
Let u(c) be the third derivative of c**5/150 - c**4/15 + 4*c**3/15 + 31*c**2. Factor u(y).
2*(y - 2)**2/5
Let f(o) be the third derivative of 0*o - 1/84*o**4 + 1/420*o**6 + 0 + 1/42*o**3 + 3*o**2 - 1/420*o**5. Factor f(s).
(s - 1)*(s + 1)*(2*s - 1)/7
Let o(l) = l**3 + l**2 + 2*l. Let r(n) = 4*n**2 - 4*n**2 - 4*n**2 + 3*n**2. Let x(k) = -o(k) + 2*r(k). Let x(j) = 0. What is j?
-2, -1, 0
Suppose 2*h = -10*h. Let p(q) be the third derivative of -1/210*q**5 + 1/735*q**7 + h*q**6 + 0*q - q**2 + 0*q**3 + 0 + 0*q**4. Factor p(i).
2*i**2*(i - 1)*(i + 1)/7
What is t in 5*t**2 + 15/2*t**3 + 20 - 30*t - 5/2*t**4 = 0?
-2, 1, 2
Factor u**3 + 8*u + 1 + 3*u**2 - 2*u - 3*u.
(u + 1)**3
Suppose -g - a + 10 = a, 5*g - 26 = -4*a. Let z be 32/(-72)*g/(-4). Determine u so that 4/9 + z*u - 2/9*u**2 = 0.
-1, 2
Let i(s) be the second derivative of s**6/120 - s**4/16 + s**3/12 + 2*s. Solve i(f) = 0.
-2, 0, 1
Let a(u) = u**5 + 54*u**4 - 106*u**3 + 51*u**2 + 27*u + 9. Let q(s) = 27*s**4 - 53*s**3 + 25*s**2 + 13*s + 4. Let z(d) = -4*a(d) + 9*q(d). Solve z(v) = 0.
-1/4, 0, 1, 3
Let -2/11*m + 4/11*m**2 + 28/11*m**4 + 0 + 10/11*m**5 + 24/11*m**3 = 0. Calculate m.
-1, 0, 1/5
Let r be (-14)/(-8) - 2*(-5)/40. Let i(o) be the third derivative of -1/15*o**3 - 1/50*o**5 + 3*o**r - 1/20*o**4 + 0*o + 0 - 1/300*o**6. Solve i(y) = 0 for y.
-1
Let b(d) = 16*d**4 - 16*d**2 - 28*d - 8. Let l(r) = r**4 + r**3 + r**2. Let s(y) = b(y) - 20*l(y). Factor s(c).
-4*(c + 1)**3*(c + 2)
Let y(w) be the third derivative of 2*w**7/525 - 2*w**5/75 + 2*w**3/15 - w**2. Factor y(a).
4*(a - 1)**2*(a + 1)**2/5
Let x(a) be the first derivative of -4*a**5/5 - 4*a**4 - 16*a**3/3 - 46. Determine l so that x(l) = 0.
-2, 0
Suppose -5 = -h, -4*h = -2*z - 2*h. Factor l**z + 2*l**4 + l**5 + 0*l**5.
2*l**4*(l + 1)
Let m(r) be the second derivative of -9*r**5/140 + r**4/14 + 3*r**3/14 - 3*r**2/7 + 4*r. Factor m(d).
-3*(d - 1)*(d + 1)*(3*d - 2)/7
Let h(s) = -12*s**5 + 20*s**4 - 8. Suppose 5*k - 4*k + 8 = 0. Let q(w) = -8*w**5 + 13*w**4 - 5. Let p(y) = k*q(y) + 5*h(y). What is a in p(a) = 0?
0, 1
Let m be 176/28 + (-2)/7. Factor -3*z + z + 0*z + 4*z + m*z**2.
2*z*(3*z + 1)
Let z(w) = 36*w**2 + 44*w + 24. Let u(q) = -q - 1. Let b(a) = -20*u(a) - z(a). Solve b(k) = 0 for k.
-1/3
Let d(v) = -v + 11. Let n = -10 - -18. Let l be d(n). Let -r**3 + 3*r**4 + 2*r**5 - l*r**2 - 3*r**4 + 3*r**4 - r = 0. What is r?
-1, -1/2, 0, 1
Suppose 2*m - 3*k + 30 = 5*m, 2*m - 14 = -5*k. Suppose -h - m = -4*h. What is j in 3*j**3 - 3*j**3 - 4*j**3 + h*j - 2*j**4 + 2 = 0?
-1, 1
Factor 2*r**4 + 2*r**4 + 52*r**3 - 44*r**3.
4*r**3*(r + 2)
Suppose 0 = -x - 3, x + 6 = -3*f - 3*x. Factor -6/5*r**2 + 2/5*r**4 - 4/5 + f*r - 2/5*r**3.
2*(r - 1)**3*(r + 2)/5
Factor -437*l**4 + 9*l**3 + 440*l**4 + 6*l - 7*l**2 - 3*l**5 - 8*l**2.
-3*l*(l - 1)**3*(l + 2)
Let s = -1107 + 16607/15. Factor s*r**2 + 6/5 - 4/5*r.
2*(r - 3)**2/15
Let t = 611027/5278 - 41/754. Factor 3/7*g**5 + t*g**2 + 729/7 + 45/7*g**4 + 1215/7*g + 270/7*g**3.
3*(g + 3)**5/7
Let z(m) be the third derivative of -m**9/20160 + m**8/2016 - m**7/560 + m**6/360 - m**5/15 - 4*m**2. Let b(y) be the third derivative of z(y). Factor b(g).
-(g - 2)*(g - 1)*(3*g - 1)
Let s(h) = h**2 + 9*h - 10. Let f(q) = 5*q**2 + 35*q - 40. Let o(r) = 2*f(r) - 9*s(r). Suppose o(m) = 0. Calculate m.
1, 10
Let k(c) = -c**3 + 3*c**2 + 4*c + 2. Let u be 56/12 - 8/12. Let w be k(u). Let -3/4*h + 3/4*h**4 + 1/4*h**5 - 1/2*h**w - 1/4 + 1/2*h**3 = 0. What is h?
-1, 1
Let n(f) be the second derivative of -f**4/3 - f**3/3 - f. Suppose n(u) = 0. Calculate u.
-1/2, 0
Factor 2*v**2 - v - 12 - 2*v**4 + 12 + v**5.
v*(v - 1)**3*(v + 1)
Let s(q) be the third derivative of -1/30*q**5 - 1/120*q**6 + 0*q - 4*q**2 + 1/3*q**3 + 0 + 1/24*q**4. Suppose s(d) = 0. What is d?
-2, -1, 1
Factor 0*u**2 + 8/11*u**3 + 32/11 - 32/11*u - 2/11*u**4.
-2*(u - 2)**3*(u + 2)/11
Let y(v) be the third derivative of 6*v**2 + 0*v + 0*v**3 - 1/42*v**7 - 1/112*v**8 + 0 + 1/60*v**5