
-1, 1
Suppose 2*x = 4 + 2. Let y be (-3 - (-6 + x))*-1. Let 8*a**4 + y*a - 4/3*a**2 - 14/3*a**5 - 2*a**3 + 0 = 0. Calculate a.
-2/7, 0, 1
Let m = 156 + -156. Determine b, given that m*b**2 + 4/3*b**3 + 2/3*b**5 - 2*b**4 + 0*b + 0 = 0.
0, 1, 2
Let n(y) be the third derivative of y**10/50400 - y**9/6720 + y**8/3360 + y**5/30 + 6*y**2. Let t(z) be the third derivative of n(z). Factor t(m).
3*m**2*(m - 2)*(m - 1)
Factor 1/4*x**2 - 1/4*x + 0.
x*(x - 1)/4
Let d(w) = -w**3 + 5*w**2 + 9*w - 8. Let x be d(6). Let i be 0/(-2) - x/(-5). Factor 1 - 5/2*g + 5/2*g**3 - g**i.
(g - 1)*(g + 1)*(5*g - 2)/2
Let r = -403 - -1211/3. What is a in 2/3*a**3 - r*a**4 + 0 + 0*a + 0*a**2 = 0?
0, 1
Factor -1/3*b**3 - 5/3*b**2 - 7/3*b - 1.
-(b + 1)**2*(b + 3)/3
Factor 3*k + 2*k + 7*k**3 + 11*k**2 + 8*k**3 + 9*k**2.
5*k*(k + 1)*(3*k + 1)
Let p be (-102)/(-136) + 15/12. Find y, given that 2/5*y + 0 - 1/5*y**p = 0.
0, 2
Let d(n) = -n**5 - n**3 - n**2 - n - 1. Let p(c) = -c**5 - 30*c**4 - 41*c**3 - 16*c**2 + 4*c + 4. Let t(i) = -4*d(i) - p(i). Factor t(g).
5*g**2*(g + 1)**2*(g + 4)
Let r(l) = -3*l**3 - 15*l**2 + 16*l - 9. Let v be r(-6). Determine o so that 2/15 - 2/15*o**v - 2/5*o + 2/5*o**2 = 0.
1
Let i(v) be the second derivative of 1/42*v**4 + 5*v + 0 + 0*v**2 + 0*v**3. Suppose i(y) = 0. What is y?
0
Let o(g) = -2*g**3 - 10*g**2 - 6*g + 2. Let r(q) = 6*q**3 + 29*q**2 + 18*q - 5. Suppose 4 = 3*t - 2*t. Let k(h) = t*r(h) + 11*o(h). Let k(w) = 0. Calculate w.
-1
Let z(l) = -3*l + 15. Let c be z(5). Let t(f) be the second derivative of -1/24*f**4 + 0*f**3 + 0 + f + 1/40*f**5 + c*f**2. Suppose t(n) = 0. What is n?
0, 1
Let o = 14 - 10. Suppose 0 = x - o*x. Solve x + 10/7*m**2 + 4/7*m = 0 for m.
-2/5, 0
Let y(f) be the third derivative of 0 + 2*f**2 + 2/15*f**5 + 0*f + 1/3*f**4 + 0*f**3 + 1/60*f**6. Factor y(l).
2*l*(l + 2)**2
Let k(m) = -m**2 - 12*m - 6. Let f be k(-11). Factor -2*d**5 + 6*d**f - 2 + 2*d**2 - 3*d - 5*d**5 + 4*d**3.
-(d - 2)*(d - 1)*(d + 1)**3
Let n(c) = -c**2 - 10*c + 4. Let z be n(-10). Determine o, given that 4/3*o**5 + o**3 + 0 + 2/3*o**2 - 8/3*o**z - 1/3*o = 0.
-1/2, 0, 1/2, 1
Let a(r) be the second derivative of 1/4*r**3 + 0 - 3*r + 1/8*r**4 + 0*r**2. Let a(q) = 0. Calculate q.
-1, 0
Let a(w) be the first derivative of -2 + 1/4*w**2 - 1/8*w**4 - 1/6*w**3 + 1/2*w. Factor a(v).
-(v - 1)*(v + 1)**2/2
Let v(j) be the first derivative of 8/27*j**3 + 0*j - 2 - 1/9*j**2. Solve v(h) = 0 for h.
0, 1/4
Let v(q) be the third derivative of 2/15*q**4 + 7/75*q**6 + 2*q**2 - 11/75*q**5 + 0*q - 1/15*q**3 + 0 + 1/210*q**8 - 17/525*q**7. Suppose v(y) = 0. Calculate y.
1/4, 1
Let p(w) be the second derivative of w**9/4320 - w**8/8960 - w**7/5040 + w**4/4 - 3*w. Let k(j) be the third derivative of p(j). Factor k(s).
s**2*(2*s - 1)*(7*s + 2)/4
Let m(l) be the second derivative of -l**6/420 + l**5/210 + l**4/42 - l**2/2 - 2*l. Let i(u) be the first derivative of m(u). Factor i(h).
-2*h*(h - 2)*(h + 1)/7
Let u(g) be the third derivative of -6*g**2 + 1/20*g**5 + 1/8*g**4 + 0*g - g**3 + 0. Factor u(s).
3*(s - 1)*(s + 2)
Let i(o) be the first derivative of -8 + 3/16*o**4 + 3*o - 3/2*o**2 - 1/4*o**3. Factor i(d).
3*(d - 2)*(d - 1)*(d + 2)/4
Let k(o) be the third derivative of o**10/90720 - o**8/10080 + o**6/2160 - o**4/8 - 4*o**2. Let z(x) be the second derivative of k(x). Factor z(s).
s*(s - 1)**2*(s + 1)**2/3
Let j(x) be the first derivative of 16*x**5/15 - 2*x**4 - 23*x**3/9 + 5*x**2/2 - 2*x/3 + 13. Find h, given that j(h) = 0.
-1, 1/4, 2
Let r(d) be the third derivative of d**5/105 - 2*d**3/21 + 9*d**2. Factor r(c).
4*(c - 1)*(c + 1)/7
Let v be -4 - 15/18*-5. Let g(b) be the first derivative of -1/4*b**2 - 1 - v*b**3 + 1/4*b**4 + 1/20*b**5 + 1/4*b - 1/12*b**6. Solve g(j) = 0.
-1, 1/2, 1
Suppose 4*s + 24 = d, 10 = 5*d + s - 5. Factor 1/5*y**4 - 7/5*y**3 + 8/5 + 18/5*y**2 - d*y.
(y - 2)**3*(y - 1)/5
Factor -s**3 + 1/4*s**4 + 3/2*s**2 + 1/4 - s.
(s - 1)**4/4
Let g = -3 - -17. Let h be (-3)/(-15) - g/(-5). Solve -35*x**h + 4*x + 33*x**3 - x + x**5 - 2*x = 0 for x.
-1, 0, 1
Let a(d) be the third derivative of -d**7/840 - d**6/180 - d**5/120 + d**3/2 + 2*d**2. Let y(l) be the first derivative of a(l). Factor y(j).
-j*(j + 1)**2
Let l(o) be the third derivative of -2*o**7/15 - 23*o**6/30 - 9*o**5/5 - 13*o**4/6 - 4*o**3/3 - 5*o**2. Determine t so that l(t) = 0.
-1, -2/7
Factor 6*a - 3*a + 6*a**2 - a**3 + 4*a**3.
3*a*(a + 1)**2
Let a = 130 + -389/3. Let d(y) be the third derivative of -1/30*y**5 + a*y**3 + 0 + 0*y + 4*y**2 + 0*y**4. Factor d(o).
-2*(o - 1)*(o + 1)
Suppose -6*s + 3 = 3*v - 3*s, s + 7 = v. Factor -6*o**3 - 4*o + v*o + 2*o**4 - 2*o + 6*o**2.
2*o*(o - 1)**3
Let p(t) = 6*t**2 - 14*t + 10. Let s(f) = f + 1. Let d(a) = p(a) - 2*s(a). Solve d(u) = 0 for u.
2/3, 2
Factor -9/7*l**2 + 3/7*l**3 + 12/7 + 0*l.
3*(l - 2)**2*(l + 1)/7
Let f(q) be the second derivative of 1/42*q**4 + 0*q**3 + 0 + 0*q**2 - 3*q. Suppose f(a) = 0. Calculate a.
0
Let b(o) be the third derivative of 1/15*o**4 + 1/150*o**5 + 0*o + 1/5*o**3 - o**2 + 0. Factor b(w).
2*(w + 1)*(w + 3)/5
Let v = -82/3 + 179/6. Find u, given that 9/4*u - 5/4*u**5 - u**3 + 3*u**4 - v*u**2 - 1/2 = 0.
-1, 2/5, 1
Let l(u) be the second derivative of -u**3/3 - u**2 + 2*u. Let r be l(-3). What is h in -h**5 + 3*h**r - 2*h**2 + 2*h**3 - 3*h**3 + 2*h - h**2 = 0?
-1, 0, 1, 2
Let t be (-9)/(-3) + 4/(-2). Let h be 4/(-8)*t/(-2). Solve -h*v - 1/4*v**2 + 0 = 0 for v.
-1, 0
Factor -41*j**3 + 47*j**3 - 3*j**4 - 24*j + 15*j**2 - 3*j**2.
-3*j*(j - 2)**2*(j + 2)
Let t(k) = 6*k**2 - 2*k + 6. Let s(d) = d**2 + 1. Let v(w) = -14*s(w) + 2*t(w). Factor v(j).
-2*(j + 1)**2
Factor 3*a**2 + 2*a**2 + 0*a**3 + 3*a**2 + 4*a**3.
4*a**2*(a + 2)
Let z(c) be the first derivative of c**4/42 - c**3/21 + 2*c - 5. Let n(g) be the first derivative of z(g). Factor n(y).
2*y*(y - 1)/7
Let c(v) = 4*v**4 - 6*v**3 - 2*v - 2. Let t(r) = -9*r**4 + 13*r**3 + r**2 + 5*r + 5. Let u(x) = -5*c(x) - 2*t(x). Solve u(l) = 0 for l.
0, 1
Let r(m) = -47*m**3 + 93*m**2 - 51*m + 8. Let h(o) = 163*o**2 - 140*o**3 + 29 - 5 + 117*o**2 - 154*o. Let l(j) = -3*h(j) + 10*r(j). Factor l(w).
-2*(w - 1)*(5*w - 2)**2
Let m(a) be the second derivative of a**4/66 + 2*a**3/33 + a**2/11 - a. Let m(g) = 0. What is g?
-1
Suppose 24 = 5*o + 3*r, 37 = 3*o - 3*r + 13. Factor o*g - 12*g**3 + 14*g**2 + 4*g**3 + 1 - 13*g.
-(g - 1)*(2*g - 1)*(4*g - 1)
Let c(r) = -4*r - 4. Let y be c(-2). Let k(i) be the first derivative of 4/3*i**3 + 5*i**2 + 1 - y*i - 5/2*i**4. Solve k(g) = 0.
-1, 2/5, 1
Let c(o) be the third derivative of 8*o**7/735 + 2*o**6/105 + o**5/105 + 18*o**2. Determine z so that c(z) = 0.
-1/2, 0
Let o be 0 + 6 + 0 - -2. Let i be (o + -9)*-2*2. Factor 0 - 4/5*a + 0*a**3 - 6/5*a**2 + 2/5*a**i.
2*a*(a - 2)*(a + 1)**2/5
Let t be (0 - 2)*(-10 - -6). Suppose -4*l - 12 = -t*l. Factor 0*q**2 + 2/7 + 4/7*q - 2/7*q**4 - 4/7*q**l.
-2*(q - 1)*(q + 1)**3/7
Let q(o) be the first derivative of -16*o**4 - 96*o**3 - 66*o**2 - 16*o + 19. Solve q(b) = 0 for b.
-4, -1/4
Let t(b) be the first derivative of 3*b**4/28 - 9*b**2/14 - 6*b/7 + 5. What is m in t(m) = 0?
-1, 2
Let o = -183 - -187. Find l, given that -6/13*l**2 + 8/13 + 2/13*l**o - 4/13*l**3 + 8/13*l = 0.
-1, 2
Let w(o) be the first derivative of o**4/8 + 2*o**3/3 + 3*o**2/4 - 15. Factor w(m).
m*(m + 1)*(m + 3)/2
Let n(a) be the third derivative of -a**8/84 + 2*a**7/21 - 3*a**6/10 + 7*a**5/15 - a**4/3 - 10*a**2. Find w, given that n(w) = 0.
0, 1, 2
Let g(o) be the third derivative of -3*o**5/4 - 3*o**4/8 + o**3/3 + 6*o**2. Determine i so that g(i) = 0.
-1/3, 2/15
Let w(v) be the second derivative of 2*v**2 - 1/6*v**4 - 1/15*v**6 + 0 - 5*v + v**3 - 3/10*v**5. Suppose w(m) = 0. Calculate m.
-2, -1, 1
Let d(j) be the third derivative of 11/150*j**5 - 2*j**2 + 0 - 1/100*j**6 + 0*j - 1/5*j**4 + 4/15*j**3. Suppose d(w) = 0. Calculate w.
2/3, 1, 2
Let q be 9/12 + 22/(-6) + 3. Let b(i) be the second derivative of 2*i + 1/3*i**3 + 1/2*i**2 + q*i**4 + 0. Suppose b(g) = 0. Calculate g.
-1
Let s(t) be the second derivative of 1/2*t**3 + 0*t**2 + 0 + t - 1/4*t**4. Factor s(l).
-3*l*(l - 1)
Determine x so that 0*x - 10/7*x**3 - 4/7*x**4 + 0 - 4/7*x**2 = 0.
-2, -1/2, 0
Let o be (11/33)/((-2)/(-12)). Let g(a) be the second derivative of -2*a + 0*a**o + 1/15*a**3 - 2/15*a**