 in -3/4*q**3 + 0*q**d + 1/4*q**5 + 0 + 1/2*q**2 + 0*q = 0?
-2, 0, 1
Factor 1/2*f**3 + 2/3*f**2 - 5/6*f - 1/3.
(f - 1)*(f + 2)*(3*f + 1)/6
Let s(z) be the first derivative of -z**4/48 - z**3/24 - z - 2. Let i(n) be the first derivative of s(n). Find k such that i(k) = 0.
-1, 0
Let y(n) be the first derivative of 2 - 2/21*n**3 - 1/14*n**4 + 1/7*n**2 + 2/7*n. Factor y(t).
-2*(t - 1)*(t + 1)**2/7
Let s(p) be the first derivative of -p**6/15 + 2*p**5/25 + 3*p**4/10 - 2*p**3/3 + 2*p**2/5 - 27. Determine c so that s(c) = 0.
-2, 0, 1
Let i(t) be the third derivative of t**5/150 - 2*t**4/15 + 16*t**3/15 + t**2. Factor i(z).
2*(z - 4)**2/5
Let c(j) = 0*j**2 + 1 + 0*j**2 - j**4. Let t(x) = 2*x**4 + 6*x**2 - 8. Let r(i) = -5*c(i) - t(i). Factor r(n).
3*(n - 1)**2*(n + 1)**2
Let m = 3 + 0. Factor -t + m*t**2 - 3*t**3 - 2*t**4 + 4*t - t**4.
-3*t*(t - 1)*(t + 1)**2
Let h(x) be the second derivative of x**6/1260 - x**5/210 + x**3/2 + 3*x. Let v(a) be the second derivative of h(a). Factor v(w).
2*w*(w - 2)/7
Let h = 5 - 1. Suppose -5*k = p + h, 3*k + p = -k - 4. Factor k - 4/7*z**2 + 2/7*z**3 + 2/7*z.
2*z*(z - 1)**2/7
Let x(p) = -12*p**3 - 24*p**2 - 21*p + 21. Let s(d) = -3*d**3 - 6*d**2 - 5*d + 5. Let v(u) = -21*s(u) + 5*x(u). What is c in v(c) = 0?
-2, 0
Let j(o) be the first derivative of -o**4/4 + 5*o**3/3 - 7*o**2/2 + 3*o - 2. Factor j(v).
-(v - 3)*(v - 1)**2
Let n = 13 + -8. Determine d, given that -3 - 6*d - 2*d**n + 3 + 8*d**4 - 12*d**3 + 4*d + 8*d**2 = 0.
0, 1
Let l(b) be the first derivative of -8*b**3/45 - 41*b**2/15 - 4*b/3 - 29. Factor l(k).
-2*(k + 10)*(4*k + 1)/15
Let n(g) be the third derivative of -g**6/40 + 3*g**2. Factor n(v).
-3*v**3
Let m(p) be the third derivative of -p**7/1260 + p**6/60 - 3*p**5/20 - p**4/6 - 5*p**2. Let i(z) be the second derivative of m(z). Factor i(q).
-2*(q - 3)**2
Let p(g) be the second derivative of -3*g**7/28 - 29*g**6/60 - 3*g**5/20 - 3*g - 1. Let p(h) = 0. What is h?
-3, -2/9, 0
Let s be ((-180)/(-210))/(0 - 9/(-21)). Factor -1/3*c**s + 0 - 2/3*c.
-c*(c + 2)/3
Suppose -4*n - 3*a + 10 = 0, -2*n + 0*a + 2*a - 2 = 0. Let t be n + -1 - (-9)/15. Solve -3/5*s - t*s**3 + 6/5*s**2 + 0 = 0 for s.
0, 1
Factor -36 - 1/4*c**2 + 6*c.
-(c - 12)**2/4
Suppose -5*y + 6 = -4, -d - 9 = -4*y. Let h(z) = 0*z**2 + 6*z**3 + z + 3*z**2 + 3*z**4 + z**4. Let r(f) = -f**2 - f. Let g(t) = d*h(t) - 3*r(t). Factor g(c).
-2*c*(c + 1)**2*(2*c - 1)
Let x(a) = -4*a**3. Let f be x(-1). Suppose -2*h = 4 - 8. Factor -2*n**3 + f*n - h*n + 0*n**3.
-2*n*(n - 1)*(n + 1)
Let h(o) be the first derivative of -o**5/5 - o**4/2 + o**3 + 18. Find u such that h(u) = 0.
-3, 0, 1
Let a be (2/6)/((-2)/(-12)). Let v(p) be the first derivative of a + 1/4*p**2 + 0*p + 5/4*p**4 - 13/12*p**3. Let v(d) = 0. Calculate d.
0, 1/4, 2/5
Let v = 35/387 + -3/86. Let r(a) be the second derivative of 0*a**2 - 1/36*a**3 - 1/252*a**7 + 0 - v*a**4 + 2*a - 1/20*a**5 - 1/45*a**6. Factor r(l).
-l*(l + 1)**4/6
Let z be ((-1)/(-10)*-4)/(1 - 5). Let f(n) be the second derivative of 0 + 1/2*n**2 + 1/6*n**4 - 1/10*n**6 + 1/2*n**3 - z*n**5 - 3*n - 1/42*n**7. Factor f(q).
-(q - 1)*(q + 1)**4
Suppose -5*d - 34 = 11. Let u be 2/(3 - (-21)/d). Let -6*a**2 - 2*a**u - 7*a + 4*a - 2*a**3 + a**3 = 0. Calculate a.
-1, 0
Let p = 46 + -44. Let k be 1*p/(-4)*-1. Factor k*n**3 - 1/2*n + 0*n**2 - 1/4 + 1/4*n**4.
(n - 1)*(n + 1)**3/4
Suppose 5*x - 4 = 3*x. Suppose -x*k - 2*d = 10, -k + 0*d - 15 = 3*d. Factor -1/4*z**4 - 1/4*z**2 + k*z + 0 + 1/2*z**3.
-z**2*(z - 1)**2/4
Suppose 3 = j, -3*d + 13*j = 17*j - 18. Let l(x) be the third derivative of 2*x**d + 1/120*x**5 + 0 + 0*x - 1/24*x**4 - 1/4*x**3. Factor l(f).
(f - 3)*(f + 1)/2
Let o(n) be the third derivative of n**7/42 - 5*n**6/24 + 2*n**5/3 - 5*n**4/6 - 22*n**2. Solve o(y) = 0 for y.
0, 1, 2
Let c(b) be the second derivative of b**6/105 - b**4/21 + b**2/7 - 2*b. Let c(k) = 0. Calculate k.
-1, 1
Suppose -5*q - 20 = 0, -2*n - 3*n + 45 = -5*q. Determine b so that 3*b**2 + b**4 + 0*b**2 - n*b**4 + b**2 = 0.
-1, 0, 1
Let t(g) be the first derivative of -g**6/24 - g**5/5 + 11*g**4/24 + g**3 + 3*g**2/2 + 10. Let s(j) be the second derivative of t(j). Factor s(a).
-(a - 1)*(a + 3)*(5*a + 2)
Suppose 0 - 1/3*a**4 + 0*a + 2/3*a**3 + a**2 = 0. Calculate a.
-1, 0, 3
What is c in -2/7 - 4/7*c**5 - 1/7*c**2 + 3/7*c**4 - 9/7*c + 13/7*c**3 = 0?
-1, -1/4, 1, 2
Let i(c) be the third derivative of -1/30*c**5 + 9*c**2 + 0 + 1/60*c**6 + 0*c**4 + 0*c**3 + 0*c. Find s such that i(s) = 0.
0, 1
Let b(j) = j + 9. Let x be b(-7). Let h be (-1 + 5)*9/12. Factor 2*l**2 + l**3 - 3*l**h - 2*l + x*l**2.
-2*l*(l - 1)**2
Let x(d) = -d**3 - 34*d**2 + 72*d + 2. Let g be x(-36). What is w in 15/7*w**g + 0 + 3/7*w**4 + 6/7*w + 12/7*w**3 = 0?
-2, -1, 0
Suppose -2*f - 8 = 28. Let m be (-3)/(-2)*(-6)/f. Find i such that i**2 + 0 - m*i - 1/2*i**3 = 0.
0, 1
Suppose -31*v - 9 = -34*v. Let p(h) be the first derivative of -3 + 0*h - 1/3*h**v - 1/2*h**2. Factor p(t).
-t*(t + 1)
Let d = -1 - -3. Suppose -3*m - 1 + m**2 + 1 + d = 0. Calculate m.
1, 2
Let g be (-1 - -2)*-3 + 8. Suppose g = 3*f - 1. Find d such that -d - 1/2 - 1/2*d**f = 0.
-1
Let x = -3 + 6. Let -5*k + 32*k**2 - 8*k**4 + 14*k + 15*k**3 - 4*k**5 + 7*k - 3*k**x = 0. What is k?
-2, -1, 0, 2
Let r(a) = 6*a**2 + 5*a - 5. Let h(f) = 5*f**2 + 4*f - 4. Let q be 8/(-20) - 27/(-5). Let p(w) = q*h(w) - 4*r(w). Let p(z) = 0. What is z?
0
Let l be 4 - 16/(-30)*6. Let q(a) be the first derivative of 0*a + 378/25*a**5 + 49/10*a**6 - 4 + l*a**3 + 6/5*a**2 + 327/20*a**4. Factor q(r).
3*r*(r + 1)**2*(7*r + 2)**2/5
Let q(z) be the first derivative of -8/5*z - 4/5*z**2 - 2/15*z**3 + 1. Find w such that q(w) = 0.
-2
Let x(m) be the second derivative of -m**7/3780 + m**6/405 - m**5/108 + m**4/54 + m**3 + 2*m. Let f(t) be the second derivative of x(t). Factor f(j).
-2*(j - 2)*(j - 1)**2/9
Let f(p) be the first derivative of 1/8*p**2 - 1/16*p**4 - 1/20*p**5 - 1/2*p + 1/4*p**3 + 9. Find w, given that f(w) = 0.
-2, -1, 1
Factor z + 17*z**2 - 3*z**2 + 5*z + 2*z - 6.
2*(z + 1)*(7*z - 3)
Let y(r) be the first derivative of -2*r**6/3 - 4*r**5/5 + r**4 + 4*r**3/3 + 7. Let y(k) = 0. Calculate k.
-1, 0, 1
Let m(z) be the first derivative of z**4/8 + z**3/6 - z**2 - 2*z - 14. What is l in m(l) = 0?
-2, -1, 2
Suppose -3*q = 2*d - 21, 4*d - 18 - 9 = -q. Let r(o) = 4*o**2 - 2*o + 7. Let b(c) = 3*c**2 - 2*c + 6. Let p(s) = d*r(s) - 7*b(s). Factor p(n).
n*(3*n + 2)
Find r such that 6/7*r**4 - 6/7*r**2 - 2/7*r**3 + 0 + 2/7*r = 0.
-1, 0, 1/3, 1
Let t be (10/60)/((-3)/(-96)). Let -8/3 - 10/3*n**2 + 2/3*n**3 + t*n = 0. Calculate n.
1, 2
Let r be ((-16)/(-24))/(2*1). Let p = 2 - 0. Solve -1/3*u**3 - r - u**p - u = 0.
-1
Let y(o) = -24*o**4 - 24*o**3 + 11*o**2 + 16*o + 9. Let x(g) = g**4 + g**3 + g**2 + g - 1. Let n(v) = -4*x(v) - y(v). Let n(a) = 0. Calculate a.
-1, -1/2, 1
Let n(f) = f**2 + f + 1. Suppose 3*b - 2*v + 17 = 0, -4*b + v = -2*v + 23. Let s(p) = -3*p**2 - 13*p + 3. Let h(l) = b*n(l) - s(l). Find j such that h(j) = 0.
2
Let i(u) be the first derivative of u**7/70 - u**6/25 - 4*u + 6. Let b(d) be the first derivative of i(d). Factor b(t).
3*t**4*(t - 2)/5
Solve 4/5*r**2 + 144/5 - 48/5*r = 0.
6
Let i(c) be the first derivative of -c**4/36 + c**3/9 + 3*c - 4. Let y(l) be the first derivative of i(l). Factor y(n).
-n*(n - 2)/3
Let w be -5*(72/(-15) + 2). Let x = w - 12. Factor 2/9*v**x + 0*v + 4/9*v**3 + 0 + 2/9*v**4.
2*v**2*(v + 1)**2/9
Let 59*c**2 + 47*c**2 - 5*c - 131*c**2 - 5*c**3 + 35*c = 0. What is c?
-6, 0, 1
Factor -5/3*g**4 + 0 + 20/3*g - 40/3*g**2 + 25/3*g**3.
-5*g*(g - 2)**2*(g - 1)/3
Let n(k) = k**5 - 8*k**4 - 12*k**3 + 23*k**2 - 4*k. Let u(b) = b**5 - 17*b**4 - 23*b**3 + 47*b**2 - 8*b. Let p(g) = 7*n(g) - 3*u(g). Find c such that p(c) = 0.
-2, 0, 1/4, 1, 2
Let g = 6 - 4. Factor 3*k**3 + 25*k**2 - 5*k**3 - 24*k**g + k.
-k*(k - 1)*(2*k + 1)
Let g = 4 - 10. Let q be 4/(-3)*9/g. Factor -q*h**4 - 2*h**5 + 3*h**2 + 4*h**2 - 5*h**2 + 2*h**3.
-2*h**2*(h - 1)*(h + 1)**2
Let m(f) be the first derivative of 1/540*f**6 + 0*f**3 + 0*f**4 + 0*f**5 - 2 - 2*f**2 + 0*f. Let i(l) be the second derivative of m(l). Solve i(c) = 0.
0
Let o = 10 - 6. Factor 3*g**2 + g - o*g**2 - g**2 + 2*g**3 - g**2.
g*(g - 1)*(2*g - 1)
Suppose -5*j + 0 + 5 = 0. Let k = 1 + j. What is s in 