**2 - 1/3*p**3 = 0.
-1, 0, 1
Suppose 0 = -2*t - k + 3, 4*t - 2*k + 4 = -2. Let x be t/(15/(-3) - -3). Factor 6*g - 3*g - g**2 - 5*g + x*g**2.
-g*(g + 2)
Let f(q) be the second derivative of q**3/6 + 2*q. Let t be f(4). Let -c**2 + 0*c**t + 2*c**4 - c**2 = 0. Calculate c.
-1, 0, 1
Let j(t) be the third derivative of 0 - 2/45*t**5 + 7*t**2 - 2/9*t**3 + 5/36*t**4 + 1/180*t**6 + 0*t. Factor j(a).
2*(a - 2)*(a - 1)**2/3
Let v(g) be the third derivative of -1/180*g**7 + 0*g**3 - 9*g**2 + 0*g - 1/360*g**5 + 1/144*g**6 + 0 + 1/672*g**8 + 0*g**4. Determine h, given that v(h) = 0.
0, 1/3, 1
Let s(b) be the first derivative of 2*b**5/35 - 22*b**3/21 - 18*b**2/7 - 16*b/7 - 25. Factor s(g).
2*(g - 4)*(g + 1)**2*(g + 2)/7
Let n(o) be the third derivative of 1/780*o**6 - 1/195*o**5 + 0*o + 0*o**3 - 3*o**2 + 0*o**4 + 0. Solve n(q) = 0.
0, 2
Factor 0*s**2 + 4/15*s**3 + 0*s + 2/15*s**5 - 2/5*s**4 + 0.
2*s**3*(s - 2)*(s - 1)/15
Let j(i) be the third derivative of i**8/80640 + i**7/20160 - i**6/1440 - i**5/30 - 2*i**2. Let x(o) be the third derivative of j(o). Find g such that x(g) = 0.
-2, 1
Let q(b) = -b**3 - 4*b**2 + 4*b - 3. Let f be q(-5). Suppose 0*k = f*k - 4. Factor 0*g + 4/7*g**k - 2*g**3 + 0.
-2*g**2*(7*g - 2)/7
Let t = 22 - 20. What is c in c**4 + 12*c**3 + 2*c**2 - t*c**2 - 13*c**3 = 0?
0, 1
Let q be -7 - (-5)/90*130. Solve 0 - 4/9*k + 10/9*k**2 + q*k**4 - 8/9*k**3 = 0 for k.
0, 1, 2
Let m(f) be the third derivative of 0*f**3 + 0*f + 0 - 1/120*f**5 - 2*f**2 + 1/24*f**4. Factor m(v).
-v*(v - 2)/2
Let v be (1 - -2)/9*15. Suppose 3*h = 16 - 4. Factor 2*j**v + j**2 - 5 - 3*j**h + 5.
j**2*(j - 1)**2*(2*j + 1)
Let n(f) be the third derivative of f**8/6720 - f**7/3780 - f**6/2160 - f**4/24 + 3*f**2. Let s(j) be the second derivative of n(j). Let s(b) = 0. Calculate b.
-1/3, 0, 1
Let u(j) be the third derivative of j**7/1155 + 7*j**6/660 + j**5/30 + 5*j**4/132 - 65*j**2. Find a such that u(a) = 0.
-5, -1, 0
Let d(t) = t**5 - 7*t**4 + 7*t**3 - 5*t**2. Let i(a) = -4*a**5 + 34*a**4 - 34*a**3 + 26*a**2. Let j(s) = -11*d(s) - 2*i(s). Factor j(g).
-3*g**2*(g - 1)**3
Let b(j) be the third derivative of -j**6/1200 + j**5/150 - j**4/60 + 11*j**2. Factor b(x).
-x*(x - 2)**2/10
Suppose -2*x - 5 = -3*f, -4*f + 5*x - x = -12. Let o be ((3/(-6))/f)/1. What is k in 1/6 + 1/2*k + o*k**2 + 1/6*k**3 = 0?
-1
Let o = 22 + -32. Let a = 12 + o. Factor -2*p**a + 0 + 4/7*p.
-2*p*(7*p - 2)/7
Let x(c) = -c**2 - 5*c + 7. Let t be x(-6). Let j be t/((10/4)/5). Suppose 3*l + l**j - 3*l = 0. What is l?
0
Let c be (-93)/(-15) - 5 - 1. Solve -2/5*z + 1/5*z**2 + 3/5*z**3 - c*z**5 + 0 - 1/5*z**4 = 0.
-2, -1, 0, 1
Let z(k) be the third derivative of k**8/26880 - k**6/2880 + k**4/24 - 3*k**2. Let n(c) be the second derivative of z(c). Factor n(j).
j*(j - 1)*(j + 1)/4
Let g(k) = -85*k**5 + 170*k**4 - 120*k**3 - 35*k**2 - 35. Let d(b) = 5*b**5 - 10*b**4 + 7*b**3 + 2*b**2 + 2. Let m(a) = -35*d(a) - 2*g(a). Solve m(s) = 0 for s.
0, 1
Let f(a) = -10*a - 15. Let n(j) = j**2 - 9*j - 14. Let k(t) = -4*f(t) + 5*n(t). Suppose k(z) = 0. Calculate z.
-1, 2
Let f(k) = k. Let m(n) = 3*n**3 - 5*n**2 + 6*n + 4. Let d(t) = -t**3 + t**2 - 1. Let q(b) = -4*d(b) - m(b). Let p(v) = 6*f(v) + q(v). Factor p(l).
l**2*(l + 1)
Let g be 39/12 - 1/4. Let y be 16/6 - g - -1. Suppose -2/3*m**2 - y + 4/3*m = 0. Calculate m.
1
What is g in -2/17*g**4 - 4/17*g**3 - 2/17 + 4/17*g**2 + 2/17*g**5 + 2/17*g = 0?
-1, 1
Let m(y) = y - 6. Let o be m(6). Suppose -a = -o*a. Suppose -1/4*i**3 + a + 0*i**2 + 1/4*i = 0. What is i?
-1, 0, 1
Suppose -u + 0*u = -3. Factor 2*d**2 - 2*d**u + 2*d**3 + d**3.
d**2*(d + 2)
Let d = -128 + 130. Factor 84*m**d + 152/5*m - 686/5*m**4 + 98/5*m**3 + 16/5.
-2*(m - 1)*(7*m + 2)**3/5
Let s(g) be the second derivative of 0*g**2 + 0*g**3 + 3/20*g**5 - g - 1/12*g**4 + 7/120*g**6 + 0. Factor s(d).
d**2*(d + 2)*(7*d - 2)/4
Factor 0 - 2/5*h**3 - 2/5*h + 4/5*h**2.
-2*h*(h - 1)**2/5
Let h(l) be the first derivative of 10*l**3/33 - l**2/11 + 8. What is r in h(r) = 0?
0, 1/5
Let s(g) be the second derivative of -g**5/20 + g**4/3 - 5*g**3/6 + g**2 - g. Factor s(u).
-(u - 2)*(u - 1)**2
Let u(q) = q**4 + 12*q**3 + 20*q**2 + 9*q - 5. Let d(g) = g**3 + g**2 - 1. Let t(f) = -5*d(f) + u(f). Find x, given that t(x) = 0.
-3, -1, 0
Let c(a) be the second derivative of a**5/80 + a**4/48 - 6*a. Determine q, given that c(q) = 0.
-1, 0
Suppose 0 = 4*f - 12 + 4. Suppose 4*x - 4*l = 0, 0 = -4*x + l - 0*l. Let x + 0*t + 0*t**f - 1/2*t**3 = 0. Calculate t.
0
Suppose -2/5*y**2 + 0 + 0*y + 2/5*y**4 + 1/5*y**3 - 1/5*y**5 = 0. What is y?
-1, 0, 1, 2
Let k(y) be the third derivative of 289*y**5/180 - 17*y**4/18 + 2*y**3/9 + 18*y**2. Find r, given that k(r) = 0.
2/17
Let s(a) = -3*a + 1. Let j be s(-1). Suppose -2 - j = -3*z. Let -z*i**2 + 0*i**2 + i + 3*i**2 = 0. Calculate i.
-1, 0
Let n(h) = -5*h**3 - 21*h**2 + 5*h + 21. Let q(w) = -w**3 - 4*w**2 + w + 4. Let z = -7 - -5. Let y(i) = z*n(i) + 11*q(i). Factor y(b).
-(b - 1)*(b + 1)*(b + 2)
Let u(k) be the second derivative of 2*k**7/21 + 4*k**6/15 + k**5/5 + 17*k. Find a, given that u(a) = 0.
-1, 0
Let f(d) be the third derivative of d**6/360 + d**5/30 + d**4/6 - d**3/3 - 2*d**2. Let w(j) be the first derivative of f(j). Factor w(g).
(g + 2)**2
Let n(j) = j**3 - 10*j**2 + 9*j + 4. Let c be n(9). Suppose -12 = -c*t + t. Suppose 0*m**2 - 1/5*m**t - 1/5*m**5 + 0*m + 0 + 0*m**3 = 0. What is m?
-1, 0
Let b(d) = -2*d - 14 - 3*d**2 + 2*d**2 - 2*d + 2*d. Let r(c) = -2. Let z(y) = -2*b(y) + 14*r(y). Factor z(p).
2*p*(p + 2)
Suppose -2*u + 7*u**2 + 0*u - 9*u**2 = 0. What is u?
-1, 0
Let j(p) = p**3 - 18*p**2 + 2*p + 5. Let v be j(0). Suppose 3/2*m**3 - m**v + 7/4*m**2 - 1/2*m - 7/4*m**4 + 0 = 0. Calculate m.
-2, -1, 0, 1/4, 1
Let b(c) be the first derivative of c**9/3024 - c**8/560 + c**7/280 - c**6/360 - 5*c**3/3 - 1. Let g(y) be the third derivative of b(y). Factor g(a).
a**2*(a - 1)**3
Let s(f) = -f**2 + 11*f - 12. Let y be (9/12)/(3/36). Let x be s(y). Factor -2 - 2*l**3 - 3*l - 2*l - 2*l - x*l**2 + l.
-2*(l + 1)**3
Factor -2/3 - f - 1/3*f**2.
-(f + 1)*(f + 2)/3
Let g(d) = -2*d - 6. Let t be g(-4). Determine b, given that 3*b**t + 4*b**2 + 8*b**3 + 3*b**2 - 8*b + 12*b + 2*b**4 = 0.
-2, -1, 0
Let d(q) be the second derivative of q**8/26880 + q**7/5040 + q**6/2880 - q**4/12 - 3*q. Let m(j) be the third derivative of d(j). Let m(r) = 0. Calculate r.
-1, 0
Let r(a) = -a**2 - a + 58. Let y be r(-8). What is h in 1 + 81/4*h**y + 9*h = 0?
-2/9
Let t = 121 + -362/3. Let 0 - 1/3*u**4 + 2/3*u**3 + 0*u - t*u**2 = 0. Calculate u.
0, 1
Solve 12*g**2 - 39 + 22*g**2 + 51 + 34*g + 2*g**4 + 14*g**3 = 0.
-3, -2, -1
Let l = -73 - -78. Factor 2/5*g**2 + 0*g + 0 + 6/5*g**4 - 6/5*g**3 - 2/5*g**l.
-2*g**2*(g - 1)**3/5
Let t(k) be the third derivative of -k**6/24 + k**5/4 - 5*k**4/12 - k**2 + 14. Factor t(q).
-5*q*(q - 2)*(q - 1)
Let j(b) be the third derivative of -b**7/168 + b**6/30 - 3*b**5/40 + b**4/12 + b**3 + 5*b**2. Let q(u) be the first derivative of j(u). Factor q(d).
-(d - 1)**2*(5*d - 2)
Let x be 1/2 + -1 + 1. Let q(i) be the first derivative of i**2 + 1/5*i**5 - i + 0*i**3 - 1 - x*i**4. Solve q(a) = 0.
-1, 1
Let i = -6 - -11. Suppose -7 = -4*r + o - 6*o, i*o = -2*r - 9. Factor 9*d - r*d**3 + 1 + 2*d**2 + 2*d**2 - 7*d**3 + 1.
-(d - 1)*(3*d + 1)*(5*d + 2)
Let x(h) = h + 10. Let g be x(-8). Let t(k) be the third derivative of 0 - 2*k**g + 0*k + 1/180*k**5 - 1/72*k**4 + 0*k**3. Determine p, given that t(p) = 0.
0, 1
Suppose -8*o + 10 = -13*o. Let k be (-36)/567 - o/7. Factor 2/3*g**3 - 8/9*g + 0*g**2 + 0 - k*g**4.
-2*g*(g - 2)**2*(g + 1)/9
Let r(p) be the first derivative of p**4/8 + p**3/6 - p**2/4 - p/2 - 12. Solve r(y) = 0.
-1, 1
Let x be 5*(2/(-90) - 8/(-36)). Let y(p) be the first derivative of -2/5*p**2 + x + 14/15*p**3 + 0*p. Factor y(c).
2*c*(7*c - 2)/5
Factor 0 + 0*h + 2/3*h**2 - 2/3*h**3.
-2*h**2*(h - 1)/3
Let k = 12 + -8. Let g(z) be the first derivative of 0*z**2 - 1/8*z**k + 1 - 1/12*z**6 + 0*z**3 + 0*z - 1/5*z**5. Solve g(s) = 0.
-1, 0
Suppose 0*v = -5*v + 40. Let d(r) = r**2 - 7*r + 1. Let l be d(v). What is o in 0*o**2 + 9*o**3 + 6*o**4 + l*o**2 - 3*o**4 + 3*o = 0?
-1, 0
Determine o so that 0 + 3/4*o**3 - 3/2*o**2 + 3/4*o = 0.
0, 1
Let z(w) be the second derivative of w**2 + 1/24*w**4 - 1/60