e first derivative of v**5/4 + v**4/8 - 2*v**3 - 5*v**2 - 9. Let u(w) be the second derivative of p(w). Let u(l) = 0. What is l?
-1, 4/5
Let r(l) = -2*l**5 - 18*l**4 - 48*l**3 - 27*l**2 + 5. Let k(j) = 3*j**5 + 27*j**4 + 72*j**3 + 41*j**2 - 7. Let u(h) = 5*k(h) + 7*r(h). Let u(q) = 0. What is q?
-4, -1, 0
Let a(f) be the second derivative of -f**7/3780 + f**4/12 - 2*f. Let w(b) be the third derivative of a(b). Factor w(d).
-2*d**2/3
Let z be (0 - -2) + -1 + 2. Factor -a**z + 0*a**2 - a**3 - 3*a**2 - a**3.
-3*a**2*(a + 1)
Let f(n) be the third derivative of -n**5/600 + n**4/240 - 19*n**2. Factor f(l).
-l*(l - 1)/10
Let c(b) = -5*b**5 + 3*b**4 + 8*b**3 - 8*b**2 - 3*b + 5. Let t(d) = d**5 + d**4 - d - 1. Let p(h) = -c(h) - t(h). Let p(x) = 0. What is x?
-1, 1
Let v(d) = -d**2 + 4*d + 9. Let z be v(5). Let -1/2*q**5 + 0 + 0*q**z + 0*q**2 - 1/2*q + q**3 = 0. What is q?
-1, 0, 1
Let h = 155/9 - 17. Factor -h*s**5 - 10/9*s**3 + 0*s + 8/9*s**4 + 0 + 4/9*s**2.
-2*s**2*(s - 2)*(s - 1)**2/9
Let n(r) = -r**2 + 6*r. Let d be n(6). Let t(l) be the second derivative of -1/36*l**4 + 0*l**2 + 1/18*l**3 + d + l. Suppose t(k) = 0. Calculate k.
0, 1
Suppose d**2 - 4*d**5 + 6*d**4 + d**5 + 3*d - 7*d**2 = 0. What is d?
-1, 0, 1
Let i(g) = -g + 1. Let j(s) = -s**5 + 4*s**4 - 5*s**3 + 2*s**2 - 3*s + 3. Let t(u) = -3*i(u) + j(u). Factor t(z).
-z**2*(z - 2)*(z - 1)**2
Find r such that -4*r**2 + 18*r**3 + 5 + 8*r - 26*r**3 - 5 + 4*r**4 = 0.
-1, 0, 1, 2
Let a(y) be the second derivative of -5*y**5 + 10*y**4 + 24*y**3 + 16*y**2 + 12*y. Let a(p) = 0. What is p?
-2/5, 2
Let 8*w**2 - 10*w**2 - 16 + 4*w + 4*w**2 = 0. What is w?
-4, 2
Let o(y) be the second derivative of y**2 + 0 + 0*y**3 + 1/72*y**4 - y - 1/180*y**5. Let p(k) be the first derivative of o(k). Factor p(g).
-g*(g - 1)/3
Let w(k) be the second derivative of k**7/504 - k**6/60 + 3*k**5/80 + 15*k - 3. Factor w(h).
h**3*(h - 3)**2/12
Suppose -3/2*s**4 + 15/2*s**3 + 3/2*s**2 - 15/2*s + 0 = 0. Calculate s.
-1, 0, 1, 5
Let a(y) = -y**3 + 3*y**2 + 24*y - 70. Let z be a(5). Suppose 0 + 8/7*h**3 + 10/7*h**4 - 6/7*h**5 + z*h - 8/7*h**2 = 0. What is h?
-1, 0, 2/3, 2
Let i be 1/3 - 64/(-24). Factor 7*n**3 - 8 + 8*n**i + 3*n**3 + 6*n**2 - 2*n - 14*n.
2*(n - 1)*(3*n + 2)**2
Let h be (-9)/(-11) - 2/(-11). Let -u**2 - 5*u + h + 4*u + u = 0. What is u?
-1, 1
Find n such that 2*n - 2/3 - 2*n**2 + 2/3*n**3 = 0.
1
Let p(y) be the second derivative of -y**4/12 - 7*y**3/3 - 49*y**2/2 + 16*y. Factor p(c).
-(c + 7)**2
Let b be (-1154)/42 - (-8)/56. Let c = b - -28. Factor -2/3 - 4/3*t - c*t**2.
-2*(t + 1)**2/3
Let x(d) = -12*d**5 + 10*d**4 - 3*d**3 - 3*d**2 - 3*d + 3. Let c(y) = -11*y**5 + 10*y**4 - 4*y**3 - 4*y**2 - 4*y + 4. Let j(w) = -3*c(w) + 4*x(w). Factor j(u).
-5*u**4*(3*u - 2)
Let g(u) be the third derivative of u**9/480 - u**8/420 + u**7/1260 + u**4/12 - u**2. Let p(i) be the second derivative of g(i). Determine z so that p(z) = 0.
0, 2/9, 2/7
Let n(z) be the third derivative of -z**5/120 + z**3/12 + 4*z**2. Determine r, given that n(r) = 0.
-1, 1
Let p(a) be the second derivative of 8/75*a**6 + 0*a**2 + 3/10*a**5 - 16/105*a**7 + 0 - 4/15*a**4 + 1/15*a**3 - 2*a. Suppose p(z) = 0. Calculate z.
-1, 0, 1/4, 1
Let m(n) = -n + 1. Let b be m(1). Suppose b*k = 3*k - 6. Factor -2/5*p**k + 2/5*p + 0.
-2*p*(p - 1)/5
Let t be (-2 - 1)/(-14*18/24). Let x be 24/35 - (-2)/(-5). Factor 4/7*i**2 - x*i + 0 - t*i**3.
-2*i*(i - 1)**2/7
Suppose -2*r = r - 39. Let m(o) = 2*o**2 - 3*o - 2. Let h(b) = 4*b**2 - 6*b - 4. Let u(c) = r*m(c) - 6*h(c). Factor u(g).
(g - 2)*(2*g + 1)
Let j(d) be the first derivative of 1/4*d**2 - 4 + 1/6*d**3 - d. Solve j(w) = 0 for w.
-2, 1
Factor -8/5*q**4 - 16/5 + 88/5*q - 108/5*q**2 + 10*q**3.
-2*(q - 2)**3*(4*q - 1)/5
Suppose 0 = 4*d - 2*j + j - 3, -d = 2*j - 12. Factor -d*y**2 + 4/3 - 2*y**4 + 14/3*y**3 - 2*y.
-2*(y - 1)**3*(3*y + 2)/3
Let g = 1 + 24. Let u be ((-10)/g)/(6/(-10)). Factor 2*p**2 + 4/3*p + 0*p**3 - u*p**4 + 0.
-2*p*(p - 2)*(p + 1)**2/3
Let j(p) be the third derivative of p**10/151200 + p**9/30240 - p**7/2520 - p**6/720 + p**5/20 - 2*p**2. Let w(t) be the third derivative of j(t). Factor w(n).
(n - 1)*(n + 1)**3
Suppose 5*p**2 - 15*p + 23 - 5*p - 7 + 4 = 0. What is p?
2
Factor 4/5*p**4 - 3/5*p**3 - p**2 + 3/5*p + 1/5.
(p - 1)**2*(p + 1)*(4*p + 1)/5
Let k = -2/115 + 48/115. What is u in -1/5*u**2 + k + 1/5*u = 0?
-1, 2
Let i(h) be the second derivative of 1/12*h**4 + 3*h + 0*h**2 + 0 - 1/20*h**5 + 0*h**3. Find a such that i(a) = 0.
0, 1
Suppose 5*g - 20 = -0*g + 5*u, 0 = 3*g + u - 8. Factor 36*p**2 - p**4 - 6*p**g - 54 + 3*p**4 - 9*p**3 - p**3.
2*(p - 3)**3*(p + 1)
Find t such that 64/3*t**4 + 0 - 2/3*t + 0*t**3 - 4*t**2 = 0.
-1/4, 0, 1/2
Let j(a) be the third derivative of a**8/90720 - a**7/22680 - a**5/12 + a**2. Let t(p) be the third derivative of j(p). Determine i so that t(i) = 0.
0, 1
Let l(j) = -j + 10. Let m be l(7). Factor -2/5*u**m + 4/5 - 4/5*u**2 + 2/5*u.
-2*(u - 1)*(u + 1)*(u + 2)/5
Let q(d) be the third derivative of 0*d**3 + 1/735*d**7 + 2*d**2 + 0 - 1/105*d**5 + 0*d**4 + 0*d + 1/420*d**6. Find t, given that q(t) = 0.
-2, 0, 1
Let y = 34 + -32. Let r = y - -3. Find n such that -1/5*n**r + 0 + 0*n + 0*n**2 - 1/5*n**3 - 2/5*n**4 = 0.
-1, 0
Determine k so that 56/3*k**4 - 86/3*k**3 + 34/3*k**2 - 4/3*k + 0 = 0.
0, 1/4, 2/7, 1
Let a be 2/(-2 + (-27)/(-12)). Let d be a/12*3*3. Find o such that 6*o**2 + 1 + 3*o**3 - d + 2 - 3*o**2 - 3*o = 0.
-1, 1
Let v(r) be the second derivative of -r**7/16380 - r**6/2340 - r**5/780 - r**4/4 - 7*r. Let s(y) be the third derivative of v(y). Factor s(d).
-2*(d + 1)**2/13
Let i(q) be the third derivative of -q**6/160 + 3*q**5/80 - q**3/2 - 7*q**2. Suppose i(b) = 0. Calculate b.
-1, 2
Solve -2*b**3 - 5*b**3 + 2*b**2 + b**5 + 4*b**3 = 0 for b.
-2, 0, 1
Let y(w) = 6*w - 5*w + 2*w**2 + w**2 - 2*w**2. Let r(i) = i**2 + i. Let v(q) = r(q) - 2*y(q). Solve v(g) = 0.
-1, 0
Let g(p) be the first derivative of -8*p**5/5 + 11*p**4 - 44*p**3/3 - 30*p**2 + 36*p + 13. Suppose g(q) = 0. What is q?
-1, 1/2, 3
Solve -3/5*v**4 + 0*v + 6/5*v**2 + 0 - 3/5*v**3 = 0.
-2, 0, 1
Let m(l) be the first derivative of -3*l**4/22 - 2*l**3/11 + 12*l**2/11 + 24*l/11 + 19. Factor m(z).
-6*(z - 2)*(z + 1)*(z + 2)/11
Let h(k) be the third derivative of 0*k + 0*k**5 + 2*k**2 + 0*k**3 + 0 + 1/105*k**7 + 0*k**6 + 1/168*k**8 + 0*k**4. Factor h(y).
2*y**4*(y + 1)
Let o be ((-4)/2)/((-2)/(-4)). Let m be o/18*18/(-3). Find j such that 2/3*j**5 - 2/3*j + 0 - m*j**4 + 4/3*j**2 + 0*j**3 = 0.
-1, 0, 1
Determine w, given that 33*w + 9*w**2 + 3*w**3 + 22 - 7 + 4*w**2 + 8*w**2 = 0.
-5, -1
Let t(w) be the second derivative of 0 - 3*w - 1/4*w**4 + 3*w**3 - 27/2*w**2. Determine h so that t(h) = 0.
3
Let t(f) = -3*f**4 + 4*f**3 - 8*f**2 + 6*f - 1. Let l(s) = s**4 + s**2 - s. Let m be (-5 + (-6)/(-2))*1. Let o(v) = m*l(v) - t(v). Solve o(a) = 0 for a.
1
Let h(k) be the second derivative of -k**10/20160 + k**9/30240 + k**4/3 - 4*k. Let b(s) be the third derivative of h(s). Determine a so that b(a) = 0.
0, 1/3
Let j = -11 + 16. Determine o so that -4/7*o**j + 0*o**3 + 2/7*o**2 + 0*o + 0 - 6/7*o**4 = 0.
-1, 0, 1/2
Suppose -6 = q + 2*a - 2, 0 = -5*q + 3*a + 6. Factor z - 2 + 2*z**3 - z**3 + q - z**4 + 3*z**2 - 2*z**3.
-(z - 1)**2*(z + 1)*(z + 2)
Let b = -54 + 56. Solve -1/2*p**b - p - 1/2 = 0 for p.
-1
Let z(j) be the third derivative of 0 + 0*j - 1/280*j**7 + 0*j**4 + 1/160*j**6 - 1/240*j**5 - 5*j**2 + 0*j**3 + 1/1344*j**8. Let z(w) = 0. Calculate w.
0, 1
Let p be ((-1)/(-3))/(4/48). Factor -232*k + 232*k - p*k**2 + 4*k**3.
4*k**2*(k - 1)
Let u(f) be the first derivative of -f**3/3 + 2*f**2 - 4*f - 3. Let u(y) = 0. Calculate y.
2
Let q be -3 - (0 - (-1 - 16))/(-5). Let l(p) be the first derivative of 2/3*p**2 - 2/3*p**3 - 1 + 0*p - 4/3*p**4 - q*p**5. What is z in l(z) = 0?
-2, -1, 0, 1/3
Factor -1/4*u**2 - 3/4*u + 0.
-u*(u + 3)/4
Let g(i) be the third derivative of i**7/70 - 3*i**6/20 + 13*i**5/20 - 3*i**4/2 + 2*i**3 + 33*i**2. Factor g(l).
3*(l - 2)**2*(l - 1)**2
Let w be 3 - (4/6)/(5/(-15)). Let u(z) be the second derivative of 1/5*z**w - 5/12*z**4 - 1/30*z**6 + 0 + 0*z**2 + 3*z + 1/3*z**3. Factor u(m).
-m*(m - 2)*(m - 1)**2
Let r(u) be the first derivative of u**5/10 - u**4/2 + u**3 - u**2 + u/2 - 21. What is t in