) be the second derivative of -2*l**7/21 - 2*l**6/15 + l**5/5 + l**4/3 - 3*l. Factor k(d).
-4*d**2*(d - 1)*(d + 1)**2
Let k(h) be the second derivative of h**5/70 + h**4/42 - h**3/21 - 3*h**2/2 - h. Let f(n) be the first derivative of k(n). Suppose f(r) = 0. Calculate r.
-1, 1/3
Let i(y) = -8*y - 165. Let t be i(-21). Factor 3/2*v**2 - 3*v - 1/4*v**t + 2.
-(v - 2)**3/4
Suppose -4*j = -5*j + 10. Suppose -5*a + 10 + j = 0. Suppose 4*m + 2 + m**2 + a - 2 = 0. Calculate m.
-2
Let n(z) = 8*z**5 + 27*z**4 + 23*z**3 - 27*z**2 - 28*z - 3. Let u(t) = -t**5 + t**4 - t**3 - t**2 + t + 1. Let v(d) = -n(d) - 3*u(d). Solve v(r) = 0.
-5, -1, 0, 1
Let x(a) be the first derivative of -3/2*a**2 + 0*a + 0*a**3 - 1/6*a**4 - 1 - 1/30*a**5. Let z(y) be the second derivative of x(y). Suppose z(i) = 0. What is i?
-2, 0
Let y(a) = 2 - 3*a**2 + 1 + 4 + 2. Let o(z) = 8*z**2 + z - 26. Let l(u) = 6*o(u) + 17*y(u). Let l(h) = 0. What is h?
1
Let x(n) = 15*n**3 - 39*n**2 - 54*n - 24. Let u(k) = -3*k**3 + 8*k**2 + 11*k + 5. Let j(w) = -24*u(w) - 5*x(w). Factor j(d).
-3*d*(d - 2)*(d + 1)
Suppose 0 = -g - 0*j + 3*j + 19, -3*j = -3*g + 27. Find m, given that 4/3 + 2*m**5 + 2*m - 8/3*m**2 - 4*m**3 + 4/3*m**g = 0.
-1, -2/3, 1
Suppose -3*a = -9 - 0. Suppose -8 = p - a*p. Factor o**4 + 5*o**5 - 3*o**p - 3*o**5.
2*o**4*(o - 1)
Let o(w) = -w - 2. Let j be o(-12). Suppose -2 - 2*a + 4*a**3 - 8*a**2 + j*a**2 - 2*a**3 = 0. What is a?
-1, 1
Let l(x) = x - 1. Let a(d) = -3*d**3 - 3*d**2 + 9*d - 9. Let q(t) = a(t) - 9*l(t). Factor q(m).
-3*m**2*(m + 1)
Let t(g) be the second derivative of g**5/30 - g**4/6 + 4*g**2/3 - 16*g. Let t(d) = 0. What is d?
-1, 2
Suppose 4*r = 3*r + 4. Determine p so that p**4 - 4*p + 15*p**2 + r*p - 16*p**2 = 0.
-1, 0, 1
Let h(p) = p**3 - 5*p**2 + 3*p + 4. Let y be h(4). Suppose o - 1 - 2 = y. Suppose -2*k**4 + 5*k**5 + 3*k**o - 2*k**3 - 4*k**5 = 0. What is k?
0, 1
Let w = -33377/12 - -2784. Let x = 13/4 - w. Solve x - 2/3*u**2 + 0*u = 0 for u.
-1, 1
Let g be (121/(-44))/(2/8). Let b = 11 + g. Let -2/5*q + b - 2/5*q**2 = 0. Calculate q.
-1, 0
Let m = -2/163 + 658/489. Let m*j**2 + 0 - 2/3*j - 2/3*j**3 = 0. Calculate j.
0, 1
Suppose -d - 4 = -f, -2*d - 2 = -f + 2. Let v(i) be the first derivative of -f*i + 4*i**2 - 2 + 1/4*i**4 - 5/3*i**3. Let v(x) = 0. What is x?
1, 2
Let -153*z**2 - 69*z + 50*z - 15 - 74*z - 27*z**3 = 0. Calculate z.
-5, -1/3
Let g(j) be the second derivative of -1/2*j**3 + 1/3*j**4 + 0 + j - 1/2*j**2. Factor g(f).
(f - 1)*(4*f + 1)
Let h(c) be the first derivative of -c**7/21 + 2*c**6/15 - c**4/3 + c**3/3 - 5*c - 4. Let o(s) be the first derivative of h(s). Factor o(d).
-2*d*(d - 1)**3*(d + 1)
Let t be -4 + 30*(-3 + 12). Let t*f**2 + 2*f**4 + 0*f**4 - 268*f**2 = 0. What is f?
-1, 0, 1
Let u(o) be the second derivative of -o**4/6 - o**3/2 + o**2 - 4*o. Factor u(r).
-(r + 2)*(2*r - 1)
Let 12*t**2 - 13*t + 4 - 9/4*t**3 = 0. What is t?
2/3, 4
Let s(w) be the first derivative of -6 + 3/4*w**4 + 192*w + 72*w**2 + 12*w**3. Solve s(p) = 0.
-4
Let w = -737/2520 - -20/63. Let u(y) be the second derivative of 0*y**3 - w*y**5 + 0 + y - 1/8*y**4 + y**2. Factor u(s).
-(s - 1)*(s + 2)**2/2
Let h(m) = -2*m**4 - 16*m**3 - 50*m**2 - 62*m - 30. Let v(l) = -l**2 + l + 1. Let b(s) = 2*h(s) - 4*v(s). Factor b(a).
-4*(a + 2)**4
Let i(p) be the first derivative of p**4/8 + p**3/6 - 5*p**2/4 + 3*p/2 - 14. Determine j so that i(j) = 0.
-3, 1
Let q(o) be the first derivative of -7/9*o**2 - 4/9*o - 2/45*o**5 - 5/18*o**4 + 1 - 2/3*o**3. Let q(v) = 0. Calculate v.
-2, -1
Let g(z) be the second derivative of -z**5/10 + z**4/2 - 4*z**2 - 5*z. Factor g(o).
-2*(o - 2)**2*(o + 1)
Suppose 0 = -3*d + 27 + 9. Let k be 2 + d/(-20)*3. Factor 2/5*h - k*h**2 + 0 - 1/5*h**3.
-h*(h - 1)*(h + 2)/5
Let h(l) be the first derivative of -2/9*l**3 - 4/3*l + 5 + l**2. Let h(u) = 0. What is u?
1, 2
Let a be -1 - (-2)/(-2) - -2. Factor 8*t**3 - 5*t**3 + 2*t - 10*t**2 + a*t**2 + 5*t**3.
2*t*(t - 1)*(4*t - 1)
Let d(j) = 1. Let q(r) = -7*r + 2 + 4*r + 3*r**2 - 7. Let u(i) = 5*d(i) + q(i). Determine o so that u(o) = 0.
0, 1
Let k be 4/((-9)/(-3) + -1). Factor 3*c + 9/2*c**k - 27/4*c**3 - 2.
-(3*c - 2)**2*(3*c + 2)/4
Factor 1/4*d**2 + 1/4*d + 0.
d*(d + 1)/4
Let v = -430 + 433. Find r such that 0 + 0*r**2 + 0*r - 2/3*r**4 - 4/3*r**v = 0.
-2, 0
Let l = -288 + 288. Suppose l + 2/9*t - 2/9*t**2 = 0. Calculate t.
0, 1
Let n = 5 - 5. Let o(u) be the third derivative of 0 + 1/240*u**5 + 0*u - 1/24*u**3 - u**2 + n*u**4. Find i such that o(i) = 0.
-1, 1
Let g = -45/7 - -277/42. Let a(j) be the first derivative of 0*j + 1/12*j**4 - 1/15*j**5 - g*j**2 + 1/9*j**3 + 2. Factor a(b).
-b*(b - 1)**2*(b + 1)/3
Let p(x) be the second derivative of -x**5/10 - x**4/6 + x**3/3 + x**2 + x. Factor p(u).
-2*(u - 1)*(u + 1)**2
Let z be 86/129*(0 + 3). Factor 0*w - 4/3*w**z - 4/3*w**3 - 1/3*w**4 + 0.
-w**2*(w + 2)**2/3
Let z(k) = -16*k**4 - 20*k**3 - 4*k**2 - 5*k - 5. Let n(c) = -48*c**4 - 60*c**3 - 12*c**2 - 16*c - 16. Let x(a) = -5*n(a) + 16*z(a). Factor x(o).
-4*o**2*(o + 1)*(4*o + 1)
Let g = 73/42 - 7/6. Let q = 85 + -83. Solve 2/7*h**q + 2/7*h - g = 0 for h.
-2, 1
Let d(n) be the second derivative of 0 - 3/8*n**5 - 1/16*n**4 + 1/4*n**3 - n + 0*n**2. Solve d(m) = 0.
-1/2, 0, 2/5
Suppose -5*v - c = 2*c - 4, 0 = 4*v - 3*c + 13. Let x(z) = z**2 + 1. Let g(i) = i**3 - 9*i**2 + 4*i - 5. Let k(o) = v*g(o) - 5*x(o). Factor k(m).
-m*(m - 2)**2
Let 0*m**3 + 0*m + 0*m**2 - 2/7*m**4 + 2/7*m**5 + 0 = 0. Calculate m.
0, 1
Solve -24*v**2 + 2*v**5 - 4*v**4 + 8*v + 26*v**3 + 0*v - 8*v**4 = 0 for v.
0, 1, 2
Let a(i) be the first derivative of -2*i**3 + 11*i**2/10 + 2*i/5 + 7. Solve a(j) = 0.
-2/15, 1/2
Let q(h) be the third derivative of -7*h**7/10 + 7*h**6/10 - h**5/5 - 16*h**2. Factor q(p).
-3*p**2*(7*p - 2)**2
Let m = 272/87 - -6/29. Let m*k**3 + 5/3*k**4 + 1/3 + 1/3*k**5 + 5/3*k + 10/3*k**2 = 0. What is k?
-1
Let f(m) = m**2 - 6*m + 2. Let o(p) = -2*p - 2. Let a be o(-4). Let s be f(a). What is c in 4*c**3 - 2*c**2 - 2*c**3 + 3*c**s + c**4 = 0?
-1, 0
Let g(x) be the third derivative of x**6/24 - x**5/6 - 5*x**4/24 + 5*x**3/3 - x**2 - 20*x. Factor g(f).
5*(f - 2)*(f - 1)*(f + 1)
Factor 0 - 4/3*n + 2/3*n**2.
2*n*(n - 2)/3
Let q = -18/467 - 95681/1401. Let t = 69 + q. Factor -t*l + 1/3*l**2 + 0.
l*(l - 2)/3
Factor 56*u**2 + 8 + 0 + 23*u - 67*u.
4*(2*u - 1)*(7*u - 2)
Let a(v) be the third derivative of v**5/20 - 2*v**2. Let j be a(1). Factor -1 + h**3 - h + h**2 - j + 3.
(h - 1)*(h + 1)**2
Let j(x) be the third derivative of -x**6/315 - x**5/630 + x**4/84 + 23*x**2. Let j(s) = 0. What is s?
-1, 0, 3/4
Factor -32/3*x - 14/3*x**4 - 16/3*x**2 + 2/3*x**5 + 32/3 + 32/3*x**3.
2*(x - 2)**4*(x + 1)/3
Suppose -3*f + 3*f + 3*f**3 + 2*f**2 = 0. What is f?
-2/3, 0
Let p(d) be the second derivative of d**5/50 - d**3/15 - 12*d. Factor p(u).
2*u*(u - 1)*(u + 1)/5
Let l be 2/((-8)/6)*-4. Suppose 13*u + 2 + 6*u - u - l - 8*u**2 = 0. What is u?
1/4, 2
Suppose 4*l + 3*a = -3, a - 39 + 40 = 3*l. Determine t, given that 0 + 15/2*t**4 + l*t + 8*t**3 + 2*t**2 = 0.
-2/3, -2/5, 0
Let l be ((-1)/(-3))/(21 - -14). Let h(y) be the second derivative of -1/7*y**2 + 0*y**5 + 1/21*y**4 - y + 0*y**3 + 0 - l*y**6. Factor h(p).
-2*(p - 1)**2*(p + 1)**2/7
Let h(n) = n + 1. Let a be h(-1). Let o(l) be the second derivative of a*l**2 + 1/18*l**6 + 1/9*l**3 + 1/36*l**4 - 2/15*l**5 + 0 + l. Let o(s) = 0. Calculate s.
-2/5, 0, 1
Let q(h) = -3*h - 5. Let o be q(-5). Suppose 0 = d - 2*g - o, 0*d + 4*g + 20 = 5*d. Factor -5*s**3 - 3*s**2 + d*s + 2*s**4 + 2*s**3 - 3*s**4 - s.
-s*(s + 1)**3
Let m(h) be the first derivative of h**6/120 + h**5/60 - h**4/24 - h**3/6 - h**2/2 - 4. Let q(y) be the second derivative of m(y). Factor q(u).
(u - 1)*(u + 1)**2
Let x(f) be the third derivative of f**6/600 + f**5/75 - f**4/24 - 43*f**2. Factor x(u).
u*(u - 1)*(u + 5)/5
Let b(a) be the first derivative of -a**5/105 - a**4/84 - 2*a**2 - 6. Let v(h) be the second derivative of b(h). Factor v(i).
-2*i*(2*i + 1)/7
Let k(a) = -5*a**4 + 185*a**3 - 375*a**2 + 335*a - 90. Let w(d) = d**4 + d**3 + 2*d**2 + d. Let z(g) = k(g) - 10*w(g). Let z(n) = 0. What is n?
2/3, 1, 9
Let z(u) be the third derivative of -1/12*u**4 + 1/60*u**6 - 1/210*u**7 - 1/2*u**3 + 0*u + 1/15*u**5 + 7*u**2 + 0. Let z(p) = 0. Calcul