uppose 0*y = 3*j - 2*y, 4*y = 5*j. Let i(l) be the first derivative of -1 + j*l + 0*l**2 + 2/21*l**3. Determine r so that i(r) = 0.
0
Let k(a) be the first derivative of 40*a**3/21 + 13*a**2/7 + 4*a/7 - 6. Factor k(o).
2*(4*o + 1)*(5*o + 2)/7
Let q(m) be the second derivative of 4/27*m**3 + 0 + 1/45*m**5 + m - 1/27*m**6 - 4/9*m**2 + 5/18*m**4. Let q(h) = 0. What is h?
-1, 2/5, 2
Let k be (0 - -23*2)*-1. Let n be (-8)/12 + k/(-15). Factor -8/5 + 24/5*i - 26/5*i**2 + n*i**3 - 2/5*i**4.
-2*(i - 2)**2*(i - 1)**2/5
Let k = -19 - -20. Let b(g) be the first derivative of -k - 2/15*g**3 + 0*g + 2/5*g**2. Factor b(u).
-2*u*(u - 2)/5
Solve 2*b + 8/3*b**2 - 2/3 = 0.
-1, 1/4
Let k(n) = n**3 - 5*n**2 + 5. Let b be k(5). Suppose 21 = m - 4*a, b*m + 0*a = -5*a + 5. Factor m*i**4 - 4*i**2 + 2*i**2 - 3*i**4.
2*i**2*(i - 1)*(i + 1)
Let h = 2 - -2. Suppose 0 = -k - h*k + 15. Factor -w + 6*w**3 + 5*w**2 - 6*w**3 + 4*w**5 - 5*w**4 - k*w**3.
w*(w - 1)**2*(w + 1)*(4*w - 1)
Let u(f) = f**2 + 10*f + 12. Let t be u(-9). Solve 3*g**4 + 3*g**5 - 3*g**4 - 2*g**t + 2*g**4 - 3*g**4 = 0 for g.
-2/3, 0, 1
Let b = 9 + 1. Factor b*f**2 - 4*f**2 - 3*f**3 - 8*f + 8*f.
-3*f**2*(f - 2)
Let y(p) be the second derivative of -p**4/4 + p**3 + 7*p. What is n in y(n) = 0?
0, 2
Let s(p) be the third derivative of p**5/510 - p**4/34 + 3*p**3/17 - p**2. Solve s(z) = 0 for z.
3
Let a(t) be the second derivative of -3*t**7/56 - t**6/40 + t**5/16 - t**4/48 + t. Factor a(k).
-k**2*(k + 1)*(3*k - 1)**2/4
Let x be (84/420)/(4/10). Let x*c**2 - 1 - 1/2*c = 0. What is c?
-1, 2
Let m(s) be the third derivative of 5*s**7/42 + 7*s**6/12 + 23*s**5/20 + 7*s**4/6 + 2*s**3/3 - 41*s**2. Factor m(b).
(b + 1)**2*(5*b + 2)**2
Let 19*z**3 + 6*z**2 - 37*z**2 - 7 + 25 - 3*z - 3*z**4 = 0. Calculate z.
-2/3, 1, 3
Let c(q) be the second derivative of q**6/1440 - q**5/240 - 5*q**3/6 - 9*q. Let w(b) be the second derivative of c(b). Factor w(n).
n*(n - 2)/4
Let b(t) be the second derivative of -t**4/60 - t**3/30 + 7*t. Factor b(x).
-x*(x + 1)/5
Suppose -y**4 - 7*y**3 + 4*y + 14*y**3 - 10*y**3 = 0. Calculate y.
-2, 0, 1
Let h(z) be the second derivative of z**6/6 + z**5 + 5*z**4/3 + 4*z. Find j, given that h(j) = 0.
-2, 0
Let d = 1 - -1. Factor -3*j**3 + 3*j + 2*j**2 + j**2 - 1 - d.
-3*(j - 1)**2*(j + 1)
Let c be (4/14)/(27/21). Let l = 8/9 - c. Factor 2/3*j**3 + l*j**4 + 0 - 2/3*j - 2/3*j**2.
2*j*(j - 1)*(j + 1)**2/3
Factor 7/3*l**5 + 23/3*l**4 + 0*l**2 + 2*l**3 + 0*l + 0.
l**3*(l + 3)*(7*l + 2)/3
Let z be (-2)/(-6) - (-3)/(-9). Find d, given that -d**2 + z*d + d + 2 + 0*d**2 - 2*d = 0.
-2, 1
Suppose 13*n**2 + 0*n**3 - 5*n**2 + 2*n**3 + 6*n = 0. What is n?
-3, -1, 0
Let b be 8/(-28) + 4/14. Determine g so that b*g + 0 - 1/4*g**2 = 0.
0
Let k be (-10)/(-40) + ((-3)/12 - 0). Let 0*t + 0*t**2 + 1/3*t**5 + k - 2/3*t**3 + 1/3*t**4 = 0. Calculate t.
-2, 0, 1
Let u(c) = -c**3 - c**2 + c + 1. Let w(o) = 10*o**3 - 2*o**2 - 6*o - 6. Let g(j) = 6*u(j) + w(j). Solve g(i) = 0 for i.
0, 2
Let b be 1/4 - 15/(-36). Let q be -4*(-1 - -2) + 4. Find n such that 2/3*n - 4/3*n**2 + q + b*n**3 = 0.
0, 1
Let x(q) be the third derivative of -q**6/540 + q**4/108 - q**2. Factor x(t).
-2*t*(t - 1)*(t + 1)/9
Let c(u) be the third derivative of u**5/30 + 3*u**4/28 + 2*u**3/21 - 2*u**2. Factor c(y).
2*(y + 1)*(7*y + 2)/7
Let o(y) be the third derivative of y**8/168 - 26*y**7/735 + y**6/21 + 4*y**5/105 - 6*y**2. Factor o(t).
2*t**2*(t - 2)**2*(7*t + 2)/7
Let q(c) = -14*c**2 - 8*c + 8. Suppose -11 = 5*d + 14. Let n(y) = 2*y - 8*y + y**3 - 14*y**2 - 2*y + 8. Let h(s) = d*q(s) + 4*n(s). Factor h(x).
2*(x + 2)**2*(2*x - 1)
Let v = 5 + -3. Let x be 8/(-40) + (-19)/(-20). Solve x*k - 1/4*k**v - 1/2 = 0.
1, 2
Let g = 8 + -6. Determine o, given that -3*o + 6*o**2 - 5*o**g + 2*o = 0.
0, 1
Let t(l) be the first derivative of l**4/2 - 14*l**3/3 + 8*l**2 + 32*l - 9. Factor t(c).
2*(c - 4)**2*(c + 1)
Let x be 3/(-1 - 2) - (-4)/4. Factor -2/7*l**3 + 0*l + 2/7*l**4 + 0 + x*l**2.
2*l**3*(l - 1)/7
Suppose 0 = -2*w - 10, -2*z + 4*z - w + 19 = 0. Let g be 15 + z - 1*3. Solve 1/4*o + g + 0*o**4 - 1/2*o**3 + 1/4*o**5 + 0*o**2 = 0 for o.
-1, 0, 1
Let c(o) be the third derivative of -o**7/490 + o**6/70 - 3*o**5/70 + o**4/14 - o**3/14 - o**2. Factor c(w).
-3*(w - 1)**4/7
Let q = -65 + 70. Let i(b) be the first derivative of -3 + b + 1/5*b**q + 1/2*b**2 + 1/6*b**6 - 2/3*b**3 - 1/2*b**4. Factor i(z).
(z - 1)**2*(z + 1)**3
Let f(w) be the second derivative of 1/5*w**5 - 2/3*w**3 - 4*w + 0 + 0*w**4 + 0*w**2. Factor f(u).
4*u*(u - 1)*(u + 1)
Let m be (-1)/(-2)*-4 - 2. Let k = m + 6. Factor 2/7*y**5 + 4/7*y**k + 4/7*y**3 - 6/7*y - 6/7*y**4 + 2/7.
2*(y - 1)**4*(y + 1)/7
Let x(w) be the first derivative of 2*w**3/39 + 10*w**2/13 + 50*w/13 - 6. Factor x(q).
2*(q + 5)**2/13
Let p be (-2)/4*4/(-3). Solve -p*m**2 + 4/3 + 2/3*m = 0 for m.
-1, 2
Let v(c) be the third derivative of -13/75*c**6 + 0*c + 7/120*c**8 + 2/15*c**7 + 4/75*c**5 + 0*c**3 + 3*c**2 + 0 + 0*c**4. Let v(s) = 0. Calculate s.
-2, 0, 2/7
Let n(m) be the third derivative of m**8/112 + 2*m**7/35 + m**6/10 - m**5/10 - 5*m**4/8 - m**3 - 4*m**2. Let n(r) = 0. Calculate r.
-2, -1, 1
Factor -4 + 4*y**3 + 2*y**4 - 37*y**2 + 4 + 39*y**2.
2*y**2*(y + 1)**2
Let o(c) = -c**2 + 5*c + 6. Let h be o(6). Let b(f) be the third derivative of 0*f**3 + h + 0*f**4 - 1/120*f**6 - 2*f**2 + 0*f**5 + 0*f. Factor b(d).
-d**3
Let x(p) be the second derivative of -2/21*p**3 + 3/2*p**2 + 1/210*p**5 - 2*p - 1/84*p**4 + 0. Let d(k) be the first derivative of x(k). Factor d(s).
2*(s - 2)*(s + 1)/7
Suppose -24/7*p**5 - 10/7*p**2 + 2/7*p**3 + 34/7*p**4 + 0 - 2/7*p = 0. Calculate p.
-1/3, -1/4, 0, 1
Let h be 2 + -6 - (-18 - -12). Let w(v) be the first derivative of -1 - 1/3*v**3 + 3/2*v**h - 3/4*v**4 + v. Find c such that w(c) = 0.
-1, -1/3, 1
Let w = 281/72 - 34/9. Let v(j) be the second derivative of 2*j - 7/12*j**3 + 0 - w*j**5 - 3/8*j**4 - 1/2*j**2 - 1/60*j**6. Let v(k) = 0. Calculate k.
-2, -1
Let p be 20/30*27/6. Let y(j) be the first derivative of -1/9*j**p - 4 + 1/12*j**4 + 1/3*j - 1/6*j**2. Factor y(l).
(l - 1)**2*(l + 1)/3
Let u = 10 - 4. Let b(q) be the first derivative of -2/3*q**3 + 0*q - 1 + 0*q**2 - 1/2*q**4 + 1/3*q**u + 2/5*q**5. Let b(h) = 0. Calculate h.
-1, 0, 1
Find b, given that 6*b + 1/3*b**2 + 17/3 = 0.
-17, -1
Let m(a) be the third derivative of 0 + 0*a**3 + 0*a + 1/30*a**6 + a**2 - 1/3*a**4 + 1/15*a**5. Factor m(g).
4*g*(g - 1)*(g + 2)
Let z be 1/1*0/2. Let o be (0/(z - -3))/1. Factor -9*s + o - 8 - 50*s**2 - 31*s.
-2*(5*s + 2)**2
Let o(s) be the first derivative of s**7/560 - s**6/48 + s**5/10 - s**4/4 + 4*s**3/3 - 9. Let t(u) be the third derivative of o(u). Suppose t(c) = 0. What is c?
1, 2
Let w(r) = -r - 13. Let y be w(-15). Let t(b) be the second derivative of 1/27*b**3 + 1/9*b**2 + 0 - y*b - 1/54*b**4 - 1/90*b**5. Factor t(a).
-2*(a - 1)*(a + 1)**2/9
Let h(j) = 9*j**3 + 27*j**2 + 93*j + 75. Let s(g) = g**3 + 2*g - 1. Let y(i) = h(i) - 6*s(i). Solve y(d) = 0.
-3
Let 0 - 1/2*r**4 + 0*r**2 - 1/2*r**3 + 0*r = 0. What is r?
-1, 0
Let o(w) = 9*w**2 - 12. Let n(s) = 10*s**2 - 12. Let q(j) = -6*n(j) + 7*o(j). Solve q(d) = 0 for d.
-2, 2
Suppose 60 = 5*l - 3*w - 2*w, w + 28 = 3*l. Suppose -4*a = 4*t - l, a + 1 = 2*t + 3. Solve 2/3*s**4 - 2/3*s**5 + 2/3*s**3 - 2/3*s**2 + 0*s + t = 0 for s.
-1, 0, 1
Solve -9*h + 9*h**2 + 5*h**2 - 17*h**2 - 6 = 0.
-2, -1
Suppose 4*w = -2*j - 10, -j + 2*w + 7 = w. Factor 1/4*g**5 + 1/2*g**2 + g**4 + 0 + 0*g + 5/4*g**j.
g**2*(g + 1)**2*(g + 2)/4
Factor -64 - 8*h**2 - h**3 - 11*h**3 + 14*h**3 - 56*h.
2*(h - 8)*(h + 2)**2
Let z(m) = -m**3 + m**2 + m - 1. Suppose 0 = -3*q - 3*q + 48. Let t(y) = -6*y**3 - 2 + 0 + 6*y**4 + 10 - 8*y**2. Let l(v) = q*z(v) + t(v). Factor l(c).
2*c*(c - 2)*(c - 1)*(3*c + 2)
Let i be (-2)/13 + 86/52. Factor -i*x - 1 + 0*x**2 + 1/2*x**3.
(x - 2)*(x + 1)**2/2
Let a(g) be the first derivative of -g**4/10 + 2*g**3/15 + 2*g**2/5 - 7. Find p, given that a(p) = 0.
-1, 0, 2
Determine b so that 13/7*b**3 + 0 + 12/7*b**2 + 4/7*b + 1/7*b**5 + 6/7*b**4 = 0.
-2, -1, 0
Let w(h) = 14*h**4 - 11*h**3 + 13*h + 8. Let l = -2 - -3. Let y(c) = c**3 + c**2 + c + 1. Let o(j) = l*w(j) - 6*y(j). Find t such that o(t) = 0.
-1/2, -2/7, 1
Let f(g) be the second derivative of -g**5/20 - 5*g**4/12 - 4*g