 of l**9/4536 + l**8/2520 + l**3/6 + 2*l**2. Let u(n) be the first derivative of a(n). Suppose u(p) = 0. What is p?
-1, 0
Let i = 66 + -21. Let k be 0 - 5/(i/(-2)). Find j, given that -k - 4/9*j - 2/9*j**2 = 0.
-1
Let u = 5608/9 - 623. Find n such that 1/3*n + u*n**2 + 2/9 = 0.
-2, -1
Let i(c) be the second derivative of -4*c + 0 - 1/21*c**7 + 1/6*c**4 + 1/10*c**5 + 0*c**2 + 0*c**3 - 1/15*c**6. Factor i(h).
-2*h**2*(h - 1)*(h + 1)**2
Let q be (2 + (-15)/9)/(2/12). Let p(y) be the third derivative of 0*y - 1/240*y**5 + 2*y**q + 0*y**3 + 0 - 1/48*y**4. Factor p(x).
-x*(x + 2)/4
Suppose 5*f - 4 = 4*f. Suppose 3*j + 15 = f*g, g - 5*j - 8 = -0. Let -g*x + 2*x**3 - 2*x**2 + x**5 + 0 + 4*x**4 - 1 - x**4 = 0. Calculate x.
-1, 1
Factor -35 - 39*m + 96*m**2 - 15*m**5 - 114*m**3 + 22 + 66*m**4 + 19.
-3*(m - 1)**4*(5*m - 2)
Factor 6*s + 0 + 3/2*s**2.
3*s*(s + 4)/2
Let o = 8 - 6. Suppose q**2 - 6*q**o + 3*q**2 = 0. Calculate q.
0
Let w(v) = -3*v**4 - 12*v**3 + 5*v**2 + 12*v + 11. Let j(s) = s**4 + 6*s**3 - 2*s**2 - 6*s - 5. Let r(p) = 13*j(p) + 6*w(p). Find z, given that r(z) = 0.
-1, 1/5, 1
Suppose -2*l + 3*l = -2*p + 8, -28 = -4*l - 4*p. Suppose -l*s = -s. Find h, given that s + 1/3*h**3 + 0*h**2 - 1/3*h = 0.
-1, 0, 1
Let a(d) = 15210*d**2 + 1549*d + 40. Let y(b) = 7605*b**2 + 774*b + 20. Let k(o) = 6*a(o) - 11*y(o). Factor k(g).
5*(39*g + 2)**2
Let t = 0 + 3. Let r be (-1)/3 - 15/(-27). Find p such that 0 + 0*p - r*p**4 + 2/9*p**t + 0*p**2 = 0.
0, 1
Let c(b) be the third derivative of b**5/210 + b**4/42 - 3*b**2. Factor c(t).
2*t*(t + 2)/7
Suppose 2*z = 2*f - 6, 4*z + 3*f = 5 + 4. Let j(t) be the third derivative of 0 + 1/96*t**4 + t**2 + z*t + 0*t**3 - 1/240*t**5. Factor j(r).
-r*(r - 1)/4
Suppose 15 = 4*b - 5*y - 4, 3*b + 3*y = -6. Let u be b/(-4)*0/4. Let 14/5*q**3 + u + 18/5*q**2 + 4/5*q = 0. Calculate q.
-1, -2/7, 0
Let z(i) = i**2 + 8*i - 8. Let j be z(-8). Let m(q) = -q**2 - 11*q + 3. Let n be m(j). Factor -32/3*g + n*g**3 - 4/3 - 15*g**2.
(g - 1)*(9*g + 2)**2/3
Suppose -3*x - 31 = -43. Let y(v) be the second derivative of -1/12*v**x + 0*v**3 + 0 + v + 1/2*v**2. Factor y(f).
-(f - 1)*(f + 1)
Let g be ((0/3)/3)/(-1). Suppose -o = -l + 2, -2*l + g*l + 4 = o. Find v, given that 1/2*v + 2*v**l - 3/2*v**3 - 1 = 0.
-2/3, 1
Let u(j) be the second derivative of j**5/4 - 5*j**3/2 - 5*j**2 - 26*j. Factor u(n).
5*(n - 2)*(n + 1)**2
Let i(s) = -4*s**2 - 14*s - 14. Let q(l) = -13*l**2 - 43*l - 41. Let y(v) = 14*i(v) - 4*q(v). Factor y(n).
-4*(n + 2)*(n + 4)
Let z(k) be the third derivative of -k**5/6 + 25*k**4/24 - 5*k**3/3 + 4*k**2 + 12. Factor z(c).
-5*(c - 2)*(2*c - 1)
Let h(t) be the third derivative of t**5/75 + t**4/15 + 6*t**2. Determine a, given that h(a) = 0.
-2, 0
Determine b, given that 1/3*b**2 - 2/3 - 1/3*b = 0.
-1, 2
Let o = -89 - -89. Let m(w) be the second derivative of -1/6*w**2 + 3*w + o - 1/60*w**5 - 1/6*w**3 - 1/12*w**4. Factor m(c).
-(c + 1)**3/3
Factor 3 - 2*j + 2*j - 12*j**2 - 10*j + j.
-3*(j + 1)*(4*j - 1)
Let j be 81/18 - 2/4. Let y(d) be the second derivative of 0 - d - 7/18*d**3 + 7/60*d**5 + 1/18*d**j - 1/3*d**2. Find x, given that y(x) = 0.
-1, -2/7, 1
Let k(x) be the second derivative of 1/16*x**4 + 2*x + 0*x**2 + 3/20*x**5 + 7/120*x**6 - 1/12*x**3 + 0. Factor k(b).
b*(b + 1)**2*(7*b - 2)/4
Let a(h) be the first derivative of h**5/20 - h**3/6 - 6*h - 2. Let u(w) be the first derivative of a(w). Factor u(d).
d*(d - 1)*(d + 1)
Let i(g) be the first derivative of g**8/840 - g**6/90 + g**4/12 - 2*g**3/3 - 1. Let v(z) be the third derivative of i(z). Factor v(c).
2*(c - 1)**2*(c + 1)**2
Let f(h) be the first derivative of -21/4*h**4 - 9/2*h**2 + 6*h - 4 - 12*h**3. Suppose f(r) = 0. Calculate r.
-1, 2/7
Let i(z) be the third derivative of z**6/20 - 4*z**5/15 + z**4/4 + 2*z**3/3 - 4*z**2. Factor i(o).
2*(o - 2)*(o - 1)*(3*o + 1)
Let b(l) be the third derivative of -l**5/60 + l**4/12 + l**3/2 + 5*l**2. Let b(t) = 0. What is t?
-1, 3
Let q(p) = p**3 + 6*p**2 - 2*p - 9. Suppose 14 + 5 = -4*f - 5*b, 2*f + 2*b + 10 = 0. Let m be q(f). Let 5*v - v**3 - 6*v - 2*v**m + 4*v**3 = 0. What is v?
-1, 0, 1
Let c(d) be the second derivative of d**6/180 + d**5/40 + d**4/72 - d**3/12 - d**2/6 - 10*d. Let c(k) = 0. Calculate k.
-2, -1, 1
Let x(k) be the third derivative of 2*k**2 - 1/105*k**7 + 0 + 0*k**6 + 0*k + 0*k**3 + 0*k**5 + 0*k**4. Determine s so that x(s) = 0.
0
Let d be (4 + -4)/(1 + 0). Let k(b) be the third derivative of d*b - 1/18*b**4 + 0 + 1/18*b**3 - 1/90*b**6 + b**2 + 1/30*b**5 + 1/630*b**7. Factor k(t).
(t - 1)**4/3
Let 26*h**2 - 33*h - 5*h - 6*h**4 + 3*h**2 + 5*h**2 + 12 - 2*h**3 = 0. What is h?
-3, 2/3, 1
Let z(g) = -2*g**3 - g**2 - g. Let y(j) = -10*j**3 - 8*j**2 + 4*j + 2. Let s(r) = -2*y(r) + 6*z(r). Find p, given that s(p) = 0.
-2, -1/4, 1
Let o = 10 + -8. Determine i so that 2 - o*i**2 - 1 + 3*i**2 - 2 = 0.
-1, 1
Suppose 0 = 2*u - 5*q - 26, 4 = -2*u - 2*q + 2. Factor 3*f**2 + 0 + 1 - 3*f - f**u + f - f.
-(f - 1)**3
Let n(s) = -7*s - 46. Let o be n(-7). Factor -2/3*i**o + 0 - 1/3*i**4 - 1/3*i**2 + 0*i.
-i**2*(i + 1)**2/3
Let z(b) be the first derivative of b**6/51 + 4*b**5/85 + b**4/34 - 9. Factor z(a).
2*a**3*(a + 1)**2/17
Suppose 0*m = m + 10*m. Factor 2/3*h**3 + 0 + m*h**2 - 2/3*h.
2*h*(h - 1)*(h + 1)/3
Let f(d) be the first derivative of 4*d**3/3 - 4*d**2 - 12*d + 6. Factor f(q).
4*(q - 3)*(q + 1)
Let k = 9 - 9. Factor 2 - 2*a**2 + 3*a + k*a**2 + 3*a**2.
(a + 1)*(a + 2)
Let y be ((-6)/(-3))/(30*2/6). What is s in 0 - 1/5*s**2 - y*s = 0?
-1, 0
Let z be 3/((-168)/(-304)) - 1*4. Let d be (-2)/28*(-8)/2. Factor z*h**2 + 8/7*h - d.
2*(h + 1)*(5*h - 1)/7
Let j(b) = b**2 + 3*b - 4. Let k be j(-4). Suppose k = -2*h - 3*h + 10. Factor 2/9 + 2/9*l**3 - 2/9*l - 2/9*l**h.
2*(l - 1)**2*(l + 1)/9
Let m(k) be the first derivative of 1/3*k**2 - 1/6*k**4 - 2/9*k**3 - 4 + 2/3*k. Solve m(o) = 0.
-1, 1
Suppose 4*n = -4*k + 36, -2*k = -5*n + 9 + 8. Factor 4*b**5 - b**5 - 3*b**3 + k*b**3 - 2*b**5 - 2*b**4.
b**3*(b - 1)**2
Suppose -4*b + 1 = -83. Let t be 7/(33/b - 1). Factor -15*d - t*d**3 - 2 - 63/2*d**2.
-(d + 2)*(7*d + 2)**2/4
Let j(k) be the first derivative of -k**6/9 + 4*k**5/15 - 4*k**3/9 + k**2/3 - 28. Find i, given that j(i) = 0.
-1, 0, 1
Let z(r) be the second derivative of -r**4/48 + r**3/24 + r**2/4 - 19*r. Factor z(i).
-(i - 2)*(i + 1)/4
Let d = 457/5 + -91. Suppose 0*s + 2/5 - d*s**2 = 0. Calculate s.
-1, 1
Let a(k) be the second derivative of -k**4/84 - k**3/7 - 9*k**2/14 - 4*k. Factor a(p).
-(p + 3)**2/7
Factor 1/2*o**3 + 1/4*o**4 + 7/2*o - 5/4 - 3*o**2.
(o - 1)**3*(o + 5)/4
Let p(h) be the second derivative of -h**6/30 - h**5/4 - h**4/2 - 5*h. Factor p(a).
-a**2*(a + 2)*(a + 3)
Suppose -w = 2*w. Suppose -4*n + 2*n = w. Solve 0*p**2 + 4 + 2*p**2 - 6*p + n*p**2 = 0 for p.
1, 2
Let h be (-24)/42*-7*(-2)/(-4). Solve 8/7*g - 8/7 - 2/7*g**h = 0.
2
Let g(s) be the third derivative of 1/360*s**5 + 0*s**4 + 0*s - 4*s**2 - 1/36*s**3 + 0. Factor g(m).
(m - 1)*(m + 1)/6
Let i(t) be the third derivative of 1/90*t**5 - 1/18*t**4 + 0 + 0*t + 0*t**3 - 2*t**2. Factor i(f).
2*f*(f - 2)/3
Factor -4/13 - 8/13*v**2 - 10/13*v - 2/13*v**3.
-2*(v + 1)**2*(v + 2)/13
Let d(z) be the first derivative of -1/8*z**4 + 1/4*z**2 + 1/6*z**3 - 1/2*z - 10. Factor d(y).
-(y - 1)**2*(y + 1)/2
Let w(i) be the third derivative of -i**8/1440 - 2*i**7/315 - i**6/90 - i**5/30 - 3*i**2. Let q(x) be the third derivative of w(x). Factor q(z).
-2*(z + 2)*(7*z + 2)
Let j(h) be the third derivative of -5*h**8/1344 - 3*h**7/140 - 11*h**6/240 - h**5/30 + h**4/32 + h**3/12 - 8*h**2. Factor j(p).
-(p + 1)**4*(5*p - 2)/4
Let g(k) be the third derivative of 1/144*k**4 + 0 - 1/360*k**5 + 0*k**3 + 0*k - 1/720*k**6 + 1/1260*k**7 - 3*k**2. Factor g(c).
c*(c - 1)**2*(c + 1)/6
Suppose 0 = 3*t + v - 1 - 4, 2*v - 10 = t. Suppose 10*z - 12*z + 4 = t. Solve 0*j**3 - z*j**5 + 2/3*j**4 + 0*j + 0 + 0*j**2 = 0.
0, 1/3
Let u be 1/2 + (-3)/10. Suppose -4*l + m + 2 + 3 = 0, -11 = -l - 3*m. Factor -2/5 - 3/5*j - u*j**l.
-(j + 1)*(j + 2)/5
Let h be ((-9)/(-6) - 3)*-2. Factor -h + 12*f + 3 - 30*f**3 - 3 + 11*f**5 + 12*f**4 - 3*f**2 + 13*f**5.
3*(f + 1)**2*(2*f - 1)**3
Let b(q) be the first derivative of -q**5/10 - q**4/2 - 5*q**3/6 - q**2/2 + 8. Factor b(k).
-k*(k + 1)**2*(k + 2)/2
Suppose 0 = 5*a + 