 Let m be w(k). Find n such that 0*n**2 + 0*n + 0 - 4/5*n**4 - 2/5*n**m - 2/5*n**3 = 0.
-1, 0
Suppose 3*a = 3, -5*x + 3*a = 38 - 10. Let q be 3/(-6)*(x - 1). Determine h so that 1/2*h**2 + 1/4*h**q + 1/4*h + 0 = 0.
-1, 0
Let r(n) = n**2 - 10*n + 13. Let s be r(11). Suppose 5*u = 3*q + s, 0 = -3*u + 5*u + 2*q. Factor 0 + 6/7*x**4 + 10/7*x**2 - 2*x**u - 2/7*x.
2*x*(x - 1)**2*(3*x - 1)/7
Suppose 3*n - 3 = -0*n, -2*c + 4*n = 14. Let j(h) = 4*h**2 + 7*h + 10. Let x(m) = 3*m**2 + 5*m + 7. Let w(b) = c*j(b) + 7*x(b). Solve w(r) = 0 for r.
-1, 1
Find a, given that -4/9*a + 4/9*a**3 + 2/9*a**4 + 0*a**2 - 2/9 = 0.
-1, 1
Let x be (2/4)/(5/(-10)). Let c be 7 - 6 - x/(-2). Determine u so that -1/2*u**2 - c + u = 0.
1
Let k = 158/7 + -625/28. Determine v, given that v**2 + 5/4*v + 1/2 + k*v**3 = 0.
-2, -1
Let q = -1/416 + 837/2080. Let o be 1 + -3 + 14/5. What is t in o*t**2 + 6/5*t + q = 0?
-1, -1/2
Let n(y) = -9*y**2 - y. Let a be n(1). Let c = 14 + a. Determine q so that 2/3*q**c - 2/3 + 4/3*q - 4/3*q**3 + 0*q**2 = 0.
-1, 1
Let d(j) = -4*j - 6. Let m be d(-6). Let s be (-4)/m - (-80)/36. Factor w + s + 2 + w - 2*w**2.
-2*(w - 2)*(w + 1)
Let q(h) = -h**2 - 2*h - 1. Let a be q(-1). Suppose -o - 3*j - 10 = 0, 9 + 9 = o - 4*j. Factor a + 1/2*p - 1/2*p**o.
-p*(p - 1)/2
Let o = 83 + -83. Factor 1/5*i**4 + o*i - 2/5*i**2 + 1/5 + 0*i**3.
(i - 1)**2*(i + 1)**2/5
Let c be (-4)/(-30) - (-16)/(-120). Let g(i) be the third derivative of 0 - 2*i**2 + 0*i**3 - 1/480*i**6 - 1/240*i**5 + 0*i**4 + c*i. Let g(v) = 0. Calculate v.
-1, 0
Let h = 649/1099 - 3/157. Factor 2/7 + 2/7*x**4 - h*x**2 + 0*x + 0*x**3.
2*(x - 1)**2*(x + 1)**2/7
Factor 0*w + 2/19*w**5 + 0 + 2/19*w**4 + 0*w**3 + 0*w**2.
2*w**4*(w + 1)/19
Let v(g) be the first derivative of 2*g**7/105 - g**6/45 - 7*g**5/120 - g**4/24 + g**3/3 + 7. Let q(n) be the third derivative of v(n). Factor q(m).
(m - 1)*(4*m + 1)**2
Let p(t) = t**3 + 8*t**2 + 13*t + 10. Let z be p(-6). Determine b, given that 1/4*b**5 - 1/2*b**z + 1/4*b**3 + 0 + 0*b + 0*b**2 = 0.
0, 1
Let q(d) be the second derivative of -d**5/50 - d**4/30 + 2*d**3/15 - 7*d. Factor q(o).
-2*o*(o - 1)*(o + 2)/5
Suppose 0*k - 18 = -9*k. Solve 4 - h**k - 3/2*h**3 + 6*h = 0.
-2, -2/3, 2
Suppose -5/3*d**3 + 0 + 0*d - 2/3*d**2 + d**4 = 0. Calculate d.
-1/3, 0, 2
Let v be 8 + 3/((-24)/28). Solve v*k**2 + 0 - k = 0.
0, 2/9
Let f(y) be the first derivative of -327/4*y**4 - 6*y + 24*y**6 + 24*y**5 + 12*y**3 + 4 + 33/2*y**2. Determine b, given that f(b) = 0.
-2, -1/3, 1/4, 1
What is h in 0 - 3/5*h + 6/5*h**3 + 3/5*h**2 = 0?
-1, 0, 1/2
Let u(t) = -t**2 + 11*t - 6. Let k be u(10). Let m(d) be the third derivative of 0 + 2*d**2 - 1/16*d**k + 1/20*d**5 + 0*d + 0*d**3. Factor m(l).
3*l*(2*l - 1)/2
Let v(g) be the first derivative of -2*g**3/3 - 3*g**2 - 4*g + 6. Solve v(r) = 0.
-2, -1
Suppose 4 = 19*z - 34. Factor -1/3*u**z - 2/3 - u.
-(u + 1)*(u + 2)/3
Let g(o) be the first derivative of -o**4/10 - 4*o**3/3 - 5*o**2 + 15. Factor g(w).
-2*w*(w + 5)**2/5
Factor 0 + 0*d - 1/3*d**2.
-d**2/3
Let d(h) = -2*h**2 - 2*h - 11. Let p(k) be the first derivative of -k**3/3 - k**2/2 - 6*k + 2. Let l(q) = 6*d(q) - 11*p(q). Factor l(f).
-f*(f + 1)
Let k be 2/7 + 33/7. Suppose 0*b + k*b = 10. Factor -6*x**3 - x**5 + 2*x - 3*x + 4*x**4 + b*x**2 + 2*x**2.
-x*(x - 1)**4
Let m(c) be the second derivative of -3*c**5/140 + 3*c**3/14 - 3*c**2/7 + 5*c. Let m(l) = 0. What is l?
-2, 1
Let y = -62/117 - -20317/585. Let r = -34 + y. Factor -4/5 + 4/5*p - r*p**2.
-(p - 2)**2/5
Let f(p) = -3*p**2 + 3. Let t(q) be the second derivative of q**2 + 0*q**3 - 1/6*q**4 + 0 - 3*q. Let a(u) = 3*f(u) - 5*t(u). Solve a(g) = 0.
-1, 1
Let l(g) be the second derivative of -g**4/54 + g**3/9 - 2*g**2/9 - 9*g. What is k in l(k) = 0?
1, 2
Let j = 4 + -2. Suppose 4*v = -2*v + 36. Factor -3*h + 2*h**4 + 4*h**4 + 3*h**5 + 0*h**4 - v*h**j.
3*h*(h - 1)*(h + 1)**3
Let t(l) = l - 11. Let h be t(11). Let f(u) = -u**2 + 5*u - 2. Let g be f(4). Solve h*w - 2*w**2 + w**3 - 3*w**3 + 2*w + g*w**4 = 0.
-1, 0, 1
Let x(s) be the first derivative of -s**3/5 + 9*s**2/5 + 32. Find i, given that x(i) = 0.
0, 6
Let y(k) be the second derivative of -k**6/15 + k**4/2 + 2*k**3/3 + 2*k + 3. Factor y(b).
-2*b*(b - 2)*(b + 1)**2
Let p = 369/4 + -92. Factor p*b**2 - 1/4*b + 1/4*b**3 - 1/4.
(b - 1)*(b + 1)**2/4
Let f = 4 - 3. Let h = 3 - f. Factor -h*m - 2*m + 4 - 6 + 4*m**3 + 2*m**4.
2*(m - 1)*(m + 1)**3
Suppose 0 = 3*d + 4*n - 101, 57 = 4*d + 3*n - 80. Let j = d - 139/4. Solve 1/2*m**3 - m**2 + 1/2 + 1/2*m**4 - 1/4*m - j*m**5 = 0 for m.
-1, 1, 2
Let f(g) = -7*g**3 + 37*g**2 - 12*g - 8. Let a(z) = -3*z**3 + 19*z**2 - 6*z - 4. Let s = -3 - -8. Let o(v) = s*a(v) - 3*f(v). Find y such that o(y) = 0.
-1/3, 1, 2
Let h(k) be the second derivative of 3*k**5/20 - 13*k**4/4 + 24*k**3 - 54*k**2 - 37*k. Factor h(r).
3*(r - 6)**2*(r - 1)
Factor -3/2*q + 9/2 + 1/8*q**2.
(q - 6)**2/8
Let x(z) be the first derivative of -2*z**5/5 - z**4/2 + 2*z**3/3 + z**2 - 7. Find n, given that x(n) = 0.
-1, 0, 1
Let g(o) = -7*o**2 + 4*o - 5. Let b(d) = d**2 + d. Let y(f) = 6*b(f) + g(f). Let r be y(9). Let -3*i**2 - i**r - i**3 + i**2 + i**5 + 3*i**2 = 0. Calculate i.
-1, 0, 1
Let v(a) be the first derivative of -a**6/120 + a**4/8 - a**3/3 - a**2 + 3. Let t(l) be the second derivative of v(l). Factor t(p).
-(p - 1)**2*(p + 2)
Suppose -4 + 18 = -3*y - 5*t, 0 = 5*y + 5*t + 10. Let -4 - 3*x**y - 2 + 6*x + 3 = 0. What is x?
1
Let o(c) = c + 12. Let u(i) = 2*i + 2. Let s be u(-5). Let f be o(s). Factor f*w**2 + w - w**3 - 5*w**2 + 2*w**4 - w**4.
w*(w - 1)**2*(w + 1)
Solve 1/8*w**4 - 1/8*w**2 + 0 - 1/4*w + 1/4*w**3 = 0 for w.
-2, -1, 0, 1
Let b(w) be the first derivative of -22*w**3/39 + 35*w**2/13 - 12*w/13 - 42. Find v such that b(v) = 0.
2/11, 3
Let h(b) = b**3 + b**2 - b - 1. Let c(w) = -26*w**3 + 4*w**2 + 17*w + 5. Let u(k) = -3*c(k) - 3*h(k). Factor u(n).
3*(n - 1)*(5*n + 2)**2
Suppose 0*j = -j - 3. Let l be (-4)/(-6)*(0 - j). Factor 0*i**l + 1/3*i**4 - 1/3 + 2/3*i - 2/3*i**3.
(i - 1)**3*(i + 1)/3
Let x be 0 + 3/((-12)/(-16)). Let a be (9/18)/(3/x). Factor -a*g**3 + 4/3*g + 0 + 2/3*g**2.
-2*g*(g - 2)*(g + 1)/3
Suppose 5*t = 6 + 44. Let b be 6*(-2)/t*-5. Factor 3*o**3 + b + 16*o - 14 - o**3 - 10*o**2.
2*(o - 2)**2*(o - 1)
Let j = -18 - -20. Suppose -i + 20 = 3*i - y, j*i - 10 = -y. Let -3/5*w + 0 + 0*w**2 + 0*w**4 + 6/5*w**3 - 3/5*w**i = 0. Calculate w.
-1, 0, 1
Let k be (5/(-4))/(2/(-8)). Suppose k*n = -0*n. Find x, given that 2*x + n + 6*x**3 - 8*x**2 + 0 = 0.
0, 1/3, 1
Find o, given that -3/2*o**4 + 0 - 2*o**2 - 13/2*o**3 + 0*o = 0.
-4, -1/3, 0
Let p = -9433/15 - -629. Factor 4/15*q**2 - p + 0*q - 2/15*q**4 + 0*q**3.
-2*(q - 1)**2*(q + 1)**2/15
Let n(u) be the second derivative of u**10/10080 + u**9/2520 - u**7/420 - u**6/240 - u**4/3 + 4*u. Let x(a) be the third derivative of n(a). Factor x(q).
3*q*(q - 1)*(q + 1)**3
Let r be (-6)/3*(-7)/2. Let c = r - 3. Factor 0*o**2 - 1/4*o**c + 1/2*o + 1/4 - 1/2*o**3.
-(o - 1)*(o + 1)**3/4
Let k = 45 + -14. Let g = k - 61/2. Factor 0 - 1/2*o + g*o**2.
o*(o - 1)/2
Let i(d) be the third derivative of d**8/168 - d**7/105 - d**6/30 + d**5/15 + d**4/12 - d**3/3 - 2*d**2. Suppose i(n) = 0. What is n?
-1, 1
Let l = 629/2817 - 1/939. Solve 8/9*q**2 + 0 - 4/9*q**4 - 2/3*q**3 + 8/9*q + l*q**5 = 0.
-1, 0, 2
Let j(d) be the first derivative of 4*d**3/9 - 4*d**2/3 + 4*d/3 + 23. Let j(l) = 0. Calculate l.
1
Let u be ((-6)/(-21))/((-40)/(-35)). Let q(g) be the first derivative of -2/3*g**3 + 3 + u*g**2 + 0*g. What is x in q(x) = 0?
0, 1/4
Let z(r) be the first derivative of 5*r**4/4 - 10*r**3 + 25*r**2/2 - 74. Find b such that z(b) = 0.
0, 1, 5
Let h(s) be the first derivative of s**7/420 - s**6/180 - s**5/30 + s**3 - 1. Let c(r) be the third derivative of h(r). Factor c(f).
2*f*(f - 2)*(f + 1)
Let g(c) be the first derivative of 2/35*c**5 + 0*c + 0*c**2 - 2/21*c**3 + 0*c**4 - 4. Factor g(a).
2*a**2*(a - 1)*(a + 1)/7
Let s = -1 + 3. Let w = s + 1. Factor -1/2*r + 1/2*r**w + 0*r**2 + 0.
r*(r - 1)*(r + 1)/2
Determine q, given that 0 - 6/7*q**4 - 3/7*q**3 + 0*q**2 + 0*q + 9/7*q**5 = 0.
-1/3, 0, 1
Suppose 7*d - 10*d = -5*q, -4*q = 2*d. Factor 0 - 2/7*s**3 + q*s - 4/7*s**2.
-2*s**2*(s + 2)/7
Let b(k) be the first derivative of -1/3*k**3 + 0*k + 1 - 1/2*k**2.