derivative of 1/60*y**5 - y - 1/18*y**4 + 0*y**q + 0 + 1/18*y**3. Let a(r) = 0. Calculate r.
0, 1
Factor -2/5*f + 2/5 + 2/5*f**3 - 2/5*f**2.
2*(f - 1)**2*(f + 1)/5
Let v be ((-19)/(-42) - 0) + 1/(-6). Factor 2/7*d**3 - 4/7*d**2 + v*d + 0.
2*d*(d - 1)**2/7
Let 0 + 1/11*s**3 + 8/11*s**2 - 4/11*s - 8/11*s**4 + 3/11*s**5 = 0. What is s?
-1, 0, 2/3, 1, 2
Let d be -1 - (-1 - (-4 + 6)). What is g in 4*g**2 + 4*g + d*g**5 + 4*g**3 - 6*g**4 + 6*g + 2 - 16*g = 0?
-1, 1
Let s(z) be the second derivative of z**5/40 - z**4/12 + z**3/12 - 12*z. Suppose s(w) = 0. What is w?
0, 1
Let i(b) be the third derivative of -3/40*b**5 + 1/8*b**4 + 0 + 0*b**3 + 0*b - 6*b**2 + 1/80*b**6. Factor i(t).
3*t*(t - 2)*(t - 1)/2
Let c(v) = -v + 19. Let i be c(13). Let k be 2/(-18) - i/(-18). Suppose -8/9*n - 2/3*n**2 + 4/9*n**3 + 8/9 + k*n**4 = 0. What is n?
-2, 1
Factor -2/3*r**3 + 26/3*r + 10/3*r**2 + 14/3.
-2*(r - 7)*(r + 1)**2/3
Factor 9/2 + 3*r**2 + 21/2*r.
3*(r + 3)*(2*r + 1)/2
Let r be (0 - (-30)/(-25)) + (-4)/(-2). Let y(b) be the first derivative of 4/3*b**3 - b**2 + 1/3*b**6 + 0*b**4 - 3 + 0*b - r*b**5. Solve y(t) = 0 for t.
-1, 0, 1
Determine i, given that 3*i**2 - 3*i**4 - 7*i**3 + i**3 + 13*i**3 - 6*i - i**3 = 0.
-1, 0, 1, 2
Factor s**4 + 6*s**4 + 0*s**4 - 2*s**3 - 2*s**4.
s**3*(5*s - 2)
Let a be 49/(-10 + 3)*6/(-14). Let -9/5*i**a - 3/5*i**2 + 0 + 0*i = 0. Calculate i.
-1/3, 0
Suppose 0 = -5*c - 4*n - 6, -2*c - 2*n = -3 + 7. Suppose -l + c + 0 = 0. Solve -2/3 + 2*r + 8/3*r**l = 0 for r.
-1, 1/4
Let d(k) be the second derivative of 0 + 0*k**2 + 0*k**3 - 1/5*k**5 + 4*k + 0*k**4 - 2/21*k**7 - 4/15*k**6. Factor d(b).
-4*b**3*(b + 1)**2
Let x(w) = -8*w**5 + 17*w**4 - 10*w**3 - 16*w**2 + 10*w - 9. Let i(k) = -k**3 - 1. Let n(p) = -40*i(p) + 5*x(p). Let n(z) = 0. Calculate z.
-1, 1/8, 1
Let b(c) be the first derivative of -2*c**3/3 - 5*c**2 - 8*c + 10. Factor b(a).
-2*(a + 1)*(a + 4)
Suppose 0 = -2*y - 2*y. Determine q, given that 2*q**2 + 14*q - 16*q + y - 4 = 0.
-1, 2
Let g(s) be the second derivative of s**4/30 + s**3/15 - 7*s. Let g(w) = 0. What is w?
-1, 0
Suppose b - 3*b = -o - 8, 0 = -b - 3*o + 4. Factor 10*n + 20*n**3 + 2 + 5*n**b - n**2 + 2*n**5 + 21*n**2 + 5*n**4.
2*(n + 1)**5
Let n be (12/14)/(2/(-14)). Let y be 2 + 3*n/9. Suppose y - 50/9*w**4 - 8/9*w + 32/9*w**2 - 10/9*w**3 = 0. What is w?
-1, 0, 2/5
Let o(r) be the first derivative of r**8/1680 + r**7/420 - r**5/60 - r**4/24 - r**3 - 1. Let n(y) be the third derivative of o(y). Find v such that n(v) = 0.
-1, 1
Let n(m) be the second derivative of m**7/126 + m**6/18 + 7*m**5/60 - m**4/36 - 4*m**3/9 - 2*m**2/3 - 2*m + 10. Suppose n(t) = 0. What is t?
-2, -1, 1
Let x(p) be the first derivative of p**4/2 + 16*p**3/3 + 20*p**2 + 32*p - 22. Factor x(b).
2*(b + 2)**2*(b + 4)
Factor 1/4*k**2 + 3/4*k**3 + 0 - 1/2*k.
k*(k + 1)*(3*k - 2)/4
Let y(m) = m**2 + 7*m + 4. Let g be y(-5). Let w = g + 8. Factor -4 + 2*h + 2*h**3 + 4*h**w + 4.
2*h*(h + 1)**2
Let d(w) be the first derivative of -6*w**5/25 + 9*w**4/20 - w**3/5 + 2. Suppose d(z) = 0. What is z?
0, 1/2, 1
Let f(n) be the first derivative of -1/16*n**4 + 5 + 2*n - 3/2*n**2 + 1/2*n**3. Let f(q) = 0. What is q?
2
Let s(w) be the third derivative of w**8/80640 + w**7/10080 - w**6/960 + w**5/20 + w**2. Let x(v) be the third derivative of s(v). Factor x(a).
(a - 1)*(a + 3)/4
Let y(a) be the second derivative of -3*a**5/10 + a**4/3 + 2*a**2 - 4*a. Let i(v) = -5*v**3 + 3*v**2 + 3. Let u(z) = 4*i(z) - 3*y(z). Factor u(n).
-2*n**3
Let j(u) = 16*u**4 - 4*u**3 - 20*u**2 + 4*u. Let h(t) = 17*t**4 - 5*t**3 - 20*t**2 + 5*t. Let q(n) = 4*h(n) - 3*j(n). Factor q(s).
4*s*(s - 1)*(s + 1)*(5*s - 2)
Let u be (6/57)/(-4*2). Let t = 159/532 + u. Factor -6/7*o - t*o**3 - 2/7 - 6/7*o**2.
-2*(o + 1)**3/7
Suppose -3*s + 0 = 3*d + 3, -4*s = -4*d + 28. Let i = -54/11 - -314/55. Factor 2/5*t**d - 6/5*t + i + 0*t**2.
2*(t - 1)**2*(t + 2)/5
What is h in 57*h**3 - 5*h**4 - 44*h**3 - 45*h**2 - 43*h**3 = 0?
-3, 0
Find z, given that 3/2*z + 0 - 27/4*z**4 + 27/4*z**2 - 21/4*z**5 + 15/4*z**3 = 0.
-1, -2/7, 0, 1
Find k such that -10/9*k + 4/9 + 10/9*k**3 - 4/9*k**2 = 0.
-1, 2/5, 1
Let w(p) = -7*p**3 + 11*p**2 - 9*p - 9. Let y(x) = -3*x**3 + 5*x**2 - 4*x - 4. Let i(l) = 4*w(l) - 9*y(l). Factor i(z).
-z**2*(z + 1)
Suppose 22 - 20 = o. Factor 0 + 0*j**o + 2/11*j**3 + 0*j.
2*j**3/11
Suppose 3*f = -3*f + f. Factor -2*v**3 - 2*v**2 + f*v - 1/2*v**4 + 0.
-v**2*(v + 2)**2/2
Let r(j) be the third derivative of j**7/1260 - j**6/360 - j**4/24 - 5*j**2. Let o(m) be the second derivative of r(m). Factor o(i).
2*i*(i - 1)
Let l be (-6)/(-4) - (-2)/4. Determine i so that 4*i - 1 + 5 + 2 - 2*i**l = 0.
-1, 3
Let f(o) be the third derivative of -o**5/330 - o**4/44 + 7*o**2. Find i such that f(i) = 0.
-3, 0
Let z = 248 - 736/3. Find r such that z + 16/3*r + 14/3*r**3 - 38/3*r**2 = 0.
-2/7, 1, 2
Let v be 6*1 + (-14)/(-5 - -12). Let d = 143/210 + -1/70. What is q in d*q**3 + 0 + 0*q - 1/3*q**v - 1/3*q**2 = 0?
0, 1
Let l be 10/(-15) - 17/(-3). Factor -2*a**3 - 2*a**l + 0*a**5 - 2*a**3 + 6*a**3.
-2*a**3*(a - 1)*(a + 1)
Let t(k) be the second derivative of 3/140*k**5 + 0 + 3/28*k**4 + 1/7*k**3 + 3*k + 0*k**2. Factor t(y).
3*y*(y + 1)*(y + 2)/7
Let t(q) be the second derivative of 1/10*q**5 + 1/18*q**3 - 1/9*q**4 + 0 - 2*q - 2/45*q**6 + 0*q**2 + 1/126*q**7. Suppose t(p) = 0. What is p?
0, 1
Let q(m) be the second derivative of m**4/28 - m**3/7 - 56*m. Solve q(o) = 0.
0, 2
Determine n, given that -9 + 17*n + 3*n**2 - 4*n**2 + 4*n**2 - 11*n = 0.
-3, 1
Let r(a) = 2*a**2 - 8*a - 13. Let j(k) = 15*k**2 - 65*k - 105. Let d(g) = 3*j(g) - 25*r(g). Solve d(q) = 0.
-1, 2
Let m(p) be the first derivative of -6*p**2 + 18*p - 4 + 2/3*p**3. Find y, given that m(y) = 0.
3
Let a be (-9)/78*8/(-294). Let w = a - -908/637. Factor -2/7*r - 6/7*r**3 - w*r**2 + 2/7.
-2*(r + 1)**2*(3*r - 1)/7
Let d = -2/683 + 3421/2049. Let u(n) be the first derivative of -4*n + 4*n**2 - d*n**3 + 1/4*n**4 + 2. Factor u(h).
(h - 2)**2*(h - 1)
Let z be 2/(-11) - (-6)/33. Determine f, given that z*f - 4*f**2 + 3*f**2 - 3*f - 2 = 0.
-2, -1
Let d(k) be the third derivative of k**6/720 + k**5/90 + k**4/36 + 7*k**2. Factor d(q).
q*(q + 2)**2/6
Let h(x) be the second derivative of -3*x - 1/80*x**5 + 1/16*x**4 - 1/4*x**2 + 0 + 1/24*x**3 - 1/120*x**6. Factor h(q).
-(q - 1)**2*(q + 1)*(q + 2)/4
Let u be (-12)/(-7) + 28/98. Let s(r) be the first derivative of 0*r - u + 3/5*r**2 - 1/5*r**3. What is c in s(c) = 0?
0, 2
Let g = 533/9 + -59. Let y(i) be the first derivative of 0*i - g*i**3 + 1/6*i**2 + 2 + 1/12*i**4. Factor y(r).
r*(r - 1)**2/3
Let z(o) = 7*o**5 - 7*o**4 - 6*o - 6. Let n(l) = -8*l**5 + 8*l**4 + 7*l + 7. Let x(k) = 6*n(k) + 7*z(k). Factor x(i).
i**4*(i - 1)
Factor 138*t**2 - 99*t + 5 + 27*t**4 + 14 - 3*t**5 - 90*t**3 + 8.
-3*(t - 3)**2*(t - 1)**3
Let r(p) = -p + 2. Let t be r(0). Let z = -4/3 + 5/3. Factor 1/3*x**t + 0 - 1/3*x + z*x**3 - 1/3*x**4.
-x*(x - 1)**2*(x + 1)/3
Let g(k) be the second derivative of 0*k**2 + 1/66*k**4 + 1/33*k**3 + 5*k + 0. Factor g(d).
2*d*(d + 1)/11
Factor 6 + 6*s**2 - s**3 + 3*s**3 - 2*s**2 - 2*s - 10*s**2.
2*(s - 3)*(s - 1)*(s + 1)
Let b(i) be the third derivative of i**6/120 - i**5/12 - 5*i**4/24 - i**3/2 - i**2. Let t be b(6). Factor -3*l**3 - 3*l**3 + 5*l**t + l**4.
l**3*(l - 1)
Let l(q) = 36*q - 27. Let r(d) = d**2 - 35*d + 28. Let h(f) = 2*l(f) + 3*r(f). Find v such that h(v) = 0.
1, 10
Let d(o) = -6*o**3 - 47*o**2 - 115*o - 35. Let g(l) = -6*l**3 - 48*l**2 - 114*l - 34. Let b(c) = -4*d(c) + 6*g(c). Factor b(h).
-4*(h + 4)**2*(3*h + 1)
Let z be 36/(-20)*(-15)/18. Let 3/2*u + 1/2*u**3 - z*u**2 - 1/2 = 0. Calculate u.
1
Suppose 5*z - 3*k - 21 = 0, 5*k + 7 - 3 = -2*z. Factor -32/7*y + 134/7*y**z - 34*y**4 + 14*y**5 + 46/7*y**2 - 8/7.
2*(y - 1)**3*(7*y + 2)**2/7
Let q(k) be the second derivative of -13/10*k**5 + 0*k**2 - 4*k + 0 + 1/5*k**6 - 4/3*k**3 + 8/3*k**4. Let q(r) = 0. Calculate r.
0, 1/3, 2
Let y(f) be the first derivative of -1 + 5/252*f**6 + 0*f**2 + 1/42*f**5 + 0*f + 1/84*f**4 - f**3. Let b(w) be the third derivative of y(w). Factor b(l).
2*(5*l + 1)**2/7
Let r(w) be the first derivative of 1/3*w**2 - 2 + 2/9*w**3 + 0*w. Factor r(k).
2*k*(k + 1)/3
Let j(x) be the second derivative of -x**4/4 + x**3/2 + 7*x. Factor j(k)