 the first derivative of -2/9*a**3 + 0*a + 0*a**2 + 2. Suppose x(n) = 0. Calculate n.
0
Let m(i) be the third derivative of 25*i**8/784 - 9*i**7/98 - 13*i**6/140 + 9*i**5/35 - i**4/7 + 2*i**2. Let m(q) = 0. What is q?
-1, 0, 2/5, 2
Suppose 5*a - 9 = 6. Suppose -3*j - 4*c = 14, 5 + 0 = -c. Factor 10*y**j + 8*y + 4*y**3 - 2*y**2 - 2*y**a.
2*y*(y + 2)**2
Suppose -2 = -2*t + 5*p - 2*p, 0 = -4*t - 5*p + 48. Let u = 7 - t. Let -2/5*r**2 + u - 4/5*r = 0. What is r?
-2, 0
Suppose -8 = k - j - 3*j, 3*k - j = -24. Let w(y) = y**2 + 7*y - 6. Let a be w(k). Factor -2/5 + 4/5*x - 2/5*x**a.
-2*(x - 1)**2/5
Let k(i) be the second derivative of i**7/147 - i**6/15 + i**5/14 + i**4/6 - 2*i**3/7 + 11*i - 1. What is l in k(l) = 0?
-1, 0, 1, 6
Let l(z) = -4*z**3. Let o be l(-1). Suppose n - 3*y + 9 = 0, -n - 5 = o*n - 5*y. Solve -3/2*j + 0*j**2 + 1/2*j**n - 1 = 0 for j.
-1, 2
Let z(x) = -5*x**3 - 3*x**2 + 2. Let h(f) = -6*f**3 - 3*f**2 + 3. Let g(a) = -2*h(a) + 3*z(a). Factor g(v).
-3*v**2*(v + 1)
Suppose 5*v - 6*g + 2*g = -8, -v = 4*g - 8. Let m(z) be the first derivative of v*z + 3 + 2/33*z**3 - 1/11*z**2. Solve m(p) = 0.
0, 1
Let k be (12/36)/(94/(-12)). Let u = 41/141 - k. Factor -1/3*f - 2/3 + u*f**2.
(f - 2)*(f + 1)/3
Let b be 0/((0 + 4)/2). What is j in -1/3*j**3 - 2/3 + j + b*j**2 = 0?
-2, 1
Let c(w) be the first derivative of w**4/12 - w**2/2 - 2*w + 2. Let q(o) be the first derivative of c(o). Factor q(d).
(d - 1)*(d + 1)
Let x(p) be the first derivative of p**6/240 - p**5/40 + p**4/16 - p**3/3 - 2. Let t(d) be the third derivative of x(d). Factor t(k).
3*(k - 1)**2/2
Suppose 15 = 7*k + 1. Let b(h) be the second derivative of 0*h**2 + 0*h**4 + 3/10*h**6 + 0*h**3 - 1/10*h**5 - 1/6*h**7 + k*h + 0. Factor b(w).
-w**3*(w - 1)*(7*w - 2)
Let t(n) be the second derivative of n**6/15 + n**5/8 - 7*n**4/24 - n**3/6 + 11*n. Solve t(h) = 0.
-2, -1/4, 0, 1
Let s be (1/(-2))/(29/20). Let b = 262/87 + s. Let 0*k + b*k**4 + 10/3*k**3 + 2/3*k**2 + 0 = 0. What is k?
-1, -1/4, 0
Factor 1/3*r**2 + 0*r + 0 - 1/6*r**4 - 1/6*r**3.
-r**2*(r - 1)*(r + 2)/6
Factor 0*n + 15/2*n**3 + 0 - n**2.
n**2*(15*n - 2)/2
Find m such that -4/3*m**2 - 8/3*m**3 + 4/3*m**4 + 2*m**5 + 2/3*m + 0 = 0.
-1, 0, 1/3, 1
Let l = -99 + 497/5. Factor 2/5*j**2 + l + 4/5*j.
2*(j + 1)**2/5
Let z(i) be the third derivative of i**5/15 + 2*i**4/3 + 2*i**3 + 3*i**2. Solve z(b) = 0 for b.
-3, -1
Let b be 18/12*24/(-9) - -6. Factor 0*q + 1/4*q**b + 0.
q**2/4
Determine y, given that 3/4*y**3 + 10125/4 + 135/4*y**2 + 2025/4*y = 0.
-15
Let s be 82/(-1588)*-58 - 3. Let a = s - -1594/1191. Factor -a*l**2 + 14/3*l**3 - 14/3*l + 4/3.
2*(l - 1)*(l + 1)*(7*l - 2)/3
Let x = -14 - -3. Let s = x + 26. Find d, given that 7*d**5 - s*d**3 - 8*d**2 - d**4 + 9*d**5 - d + 9*d**4 = 0.
-1, -1/4, 0, 1
Factor j - 11*j - 9*j**2 + 4*j**2.
-5*j*(j + 2)
Let t(v) = v**2 + v + 1. Let n(a) = 3*a**2 + 3*a - 4. Let m(h) = -3*n(h) + 6*t(h). Suppose m(b) = 0. Calculate b.
-3, 2
Suppose 3*y = 3*f - 480, 3*y - 5*f + 617 = 127. Let i = y - -623/4. Factor 1/4*g + i*g**3 + 3/4*g**2 + 1/4*g**4 + 0.
g*(g + 1)**3/4
Suppose -2*l - 3*b = 9, 20 = 5*l + 5*b + 45. Let x = l + 8. Determine c, given that -4*c**4 + c + 6*c**3 - 4*c**2 - 2*c + x*c + c**5 = 0.
0, 1
Let z(x) be the third derivative of 0 - 1/360*x**6 - 1/90*x**5 + 0*x - 2*x**2 + 0*x**3 - 1/72*x**4. Factor z(j).
-j*(j + 1)**2/3
Let f(j) = 6*j. Let h(y) = y. Let i(p) = -f(p) + 3*h(p). Let x be i(-1). Suppose 1/2*v**4 + 0*v**x - 1/2*v**2 + 0*v + 0 = 0. What is v?
-1, 0, 1
Let t(k) = -k - 3. Let j = -5 + 0. Let w be t(j). Factor -1/4*h**w + 1/4*h + 0.
-h*(h - 1)/4
Let s(i) be the first derivative of -4/5*i**5 - 6 + 4*i**2 + 4*i**3 + 0*i**4 + 0*i. Factor s(c).
-4*c*(c - 2)*(c + 1)**2
Suppose y - k = -2, 3*y + k - 2*k - 2 = 0. Factor 16/5*v + 7/5*v**y + 4/5.
(v + 2)*(7*v + 2)/5
Let 25/3 + 1/3*n**2 + 10/3*n = 0. What is n?
-5
Let c = 16 - 10. Find m such that m**5 - c*m**3 - 2*m**5 - 4*m**2 - m - 2*m**4 - 2*m**4 = 0.
-1, 0
Let q(m) be the third derivative of m**7/420 + m**6/240 - m**5/120 - m**4/48 - 23*m**2. Factor q(v).
v*(v - 1)*(v + 1)**2/2
Let x(o) = -19*o**2 + 27*o - 3. Let t(j) = 29*j**2 - 40*j + 4. Let i(z) = -z**2 + 2*z + 3. Let k be i(-2). Let m(r) = k*t(r) - 8*x(r). Solve m(f) = 0 for f.
2/7, 2
Let y = -19 - -1141/60. Let k(s) be the third derivative of 1/336*s**8 - y*s**5 - s**2 + 0 + 1/210*s**7 - 1/120*s**6 + 0*s + 0*s**3 + 0*s**4. Factor k(u).
u**2*(u - 1)*(u + 1)**2
Let i(c) be the first derivative of 4*c**5/5 - 5*c**4 + 8*c**3/3 + 40*c**2 - 96*c - 45. Suppose i(d) = 0. What is d?
-2, 2, 3
Let o(h) be the third derivative of 0 - 1/54*h**4 - 1/270*h**5 + 0*h - 3*h**2 + 0*h**3. Let o(d) = 0. Calculate d.
-2, 0
Let t = 14 + -14. Suppose j - 1 - 2 = 0. Factor 6*a**3 + t*a - 3*a**3 + 0*a**3 + 6*a**2 + j*a.
3*a*(a + 1)**2
Let j(k) = -3*k**4 - 2*k**3 - 8*k**2 - 2*k - 3. Let w(r) = -3 + r**2 - r**4 + r**3 - 2*r**2 + 2 + r. Let h(s) = j(s) - 2*w(s). Factor h(c).
-(c + 1)**4
Let t(u) be the second derivative of -u**7/1176 + u**6/560 + u**5/140 - u**4/2 + 3*u. Let k(z) be the third derivative of t(z). Factor k(p).
-3*(p - 1)*(5*p + 2)/7
Let f = 8 + -5. Let n be (-10)/(-8)*(f + -2). Factor 3/2*d**2 - d - 2 + 1/4*d**4 + n*d**3.
(d - 1)*(d + 2)**3/4
Factor 4/11*a**4 - 4/11*a**2 + 2/11*a**5 - 2/11*a + 0*a**3 + 0.
2*a*(a - 1)*(a + 1)**3/11
Suppose -29*v + 7*v + 44 = 0. Suppose 0*g + 4*f + 21 = 5*g, f = 2*g - 9. Factor 0 - 3/4*c**3 - 1/4*c**4 + 1/4*c**g + 1/2*c + 1/4*c**v.
c*(c - 2)*(c - 1)*(c + 1)**2/4
Let a(x) = x**3 + 13*x**2 - 12*x + 32. Let l be a(-14). Solve -2/3*t**l + 1/3*t - 2/3*t**3 + 4/3*t**2 - 2/3 + 1/3*t**5 = 0 for t.
-1, 1, 2
Let g(p) = -19*p**2 + 13*p + 19. Let x(h) = 6*h + 4 + 2*h**2 - 4*h - 5*h**2 - 1. Let s(w) = -6*g(w) + 39*x(w). Find d such that s(d) = 0.
-1, 1
Let w(m) be the third derivative of 0*m + 0*m**3 - 1/40*m**5 + 3*m**2 + 0 + 0*m**4 + 1/80*m**6. Factor w(r).
3*r**2*(r - 1)/2
Find n, given that 0 + 3/2*n**2 + 3/2*n - 3/2*n**4 - 3/2*n**3 = 0.
-1, 0, 1
Suppose 2*p - 24 - 4 = 0. Let a = p + -12. Find z such that -8*z - 98/5*z**4 + 28*z**3 - 8/5 + 6/5*z**a = 0.
-2/7, 1
Let r(m) be the first derivative of 0*m**2 - 1/14*m**4 - 2/7*m**5 - 1 + 2/21*m**3 - 1/7*m**6 + 0*m. Factor r(t).
-2*t**2*(t + 1)**2*(3*t - 1)/7
Let c(j) be the third derivative of -j**5/300 + j**4/30 - 2*j**3/15 - 23*j**2. Determine f, given that c(f) = 0.
2
Let j(p) be the second derivative of p**8/20160 - p**6/720 + p**5/180 + p**4/6 + p. Let s(v) be the third derivative of j(v). Find y, given that s(y) = 0.
-2, 1
Let 42*b**2 + 96/7 - 48*b = 0. Calculate b.
4/7
Suppose -62 = 5*n + 128. Let x = n + 40. Factor 8/7 + 16/7*w + 2/7*w**3 + 10/7*w**x.
2*(w + 1)*(w + 2)**2/7
Let u be 24/(-36)*(-2)/6. Suppose 0*n + 0 + 2/9*n**4 - 2/9*n**3 - u*n**2 + 2/9*n**5 = 0. What is n?
-1, 0, 1
Let p(h) be the third derivative of 0*h**4 + 2*h**2 - 1/180*h**5 + 0*h**6 + 0*h + 1/36*h**3 + 1/1260*h**7 + 0. Find s, given that p(s) = 0.
-1, 1
Suppose m = -0*m - m. Let o(p) be the second derivative of -1/42*p**7 - 1/30*p**6 + 0*p**3 + 1/20*p**5 - 3*p + m + 1/12*p**4 + 0*p**2. Factor o(g).
-g**2*(g - 1)*(g + 1)**2
Find u, given that 1/4*u + 3/2 - 1/4*u**2 = 0.
-2, 3
Let g(m) be the third derivative of 0*m**4 + 1/240*m**5 + 0*m**3 + 1/96*m**6 + 1/120*m**7 + 1/448*m**8 + m**2 + 0 + 0*m. Factor g(u).
u**2*(u + 1)**2*(3*u + 1)/4
Suppose 0 + 0*r**2 - 3 + 0*r**2 + 3*r**2 = 0. Calculate r.
-1, 1
Let g be ((-1)/(-4))/(27/1458). Suppose -g*n**2 + 6*n - 2/3 = 0. Calculate n.
2/9
Let v be 4/6*3*1. Let 1 + 1 - 6*z + 7 - z**v - 2*z**2 = 0. What is z?
-3, 1
Let f(c) be the third derivative of -5*c**6/8 - 19*c**5/12 + 25*c**4/6 - 10*c**3/3 - 15*c**2. Factor f(m).
-5*(m + 2)*(3*m - 1)*(5*m - 2)
Suppose 0 = -9*z + 3*z + 30. Suppose 25 = 3*x - z*i, 0*i - 25 = 5*i. Factor x - 2/3*y + 2/3*y**2.
2*y*(y - 1)/3
Let t(l) = -2*l**3 + 22*l**2 + 24*l. Let q be t(12). Solve 0*o + 4/5*o**2 + 0 + q*o**3 - 4/5*o**4 = 0.
-1, 0, 1
Let u(v) be the third derivative of -v**7/840 - v**6/240 + v**5/240 + v**4/48 + 2*v**2. Find t such that u(t) = 0.
-2, -1, 0, 1
Let q(n) be the first derivative of 2*n - 3 + n**2 - 1/2*n**4 - 2/3*n**3. Factor q(j).
-2*(j - 1)*(j + 1)**2
Let i be 6/(-10) + 182/70. Let d(y) be the first derivative of 6*y + 7*y**3 + 27/2*y**i + 1. Find r, given that