3 + 0*b**2 + 0*b + 0 - 2/7*b**5 + 0*b**4 = 0. Calculate b.
-1, 0, 1
Let n(l) = -l - 1. Let s be n(7). Let k(c) = -c**2 - 9*c - 5. Let h be k(s). Let -r**2 + r**h + 2*r**3 - 6*r + 4*r**2 = 0. Calculate r.
-2, 0, 1
Let q(h) be the second derivative of 0 - 1/48*h**4 + 0*h**2 - 1/1440*h**6 + 1/6*h**3 + 2*h + 1/160*h**5. Let z(v) be the second derivative of q(v). Factor z(x).
-(x - 2)*(x - 1)/4
Let r = 9/14 - 1/14. Let g be (-15)/(-9) - 1/(-3). Factor 2/7*v**g - r - 2/7*v.
2*(v - 2)*(v + 1)/7
Let a(h) = 2*h - 10. Let n be a(6). Factor 6 - 2*p - 3*p**2 - n + 2 + 5*p.
-3*(p - 2)*(p + 1)
Let x(f) be the first derivative of -7*f**5/150 - 3*f**4/20 - 2*f**3/15 + f**2/2 + 4. Let v(j) be the second derivative of x(j). Solve v(u) = 0 for u.
-1, -2/7
Let p(i) = 0*i - 4*i - 1 - i**3 + 2*i. Let x be p(-1). Factor 0 + 0*r + 0*r**x + 2/7*r**3.
2*r**3/7
Let v(l) be the second derivative of l**7/42 - 3*l**6/10 + 31*l**5/20 - 17*l**4/4 + 20*l**3/3 - 6*l**2 - l. Determine u, given that v(u) = 0.
1, 2, 3
Let q(k) be the second derivative of -5/48*k**4 + 1/4*k**2 - k - 1/8*k**3 + 0. Factor q(a).
-(a + 1)*(5*a - 2)/4
Let c(h) be the first derivative of 2/5*h**5 + 1/2*h**4 - h**2 - 2*h**3 + 4*h + 2. Factor c(s).
2*(s - 1)**2*(s + 1)*(s + 2)
Let o(j) be the first derivative of -j**7/231 + j**5/55 - j**3/33 - 6*j - 1. Let u(k) be the first derivative of o(k). Factor u(r).
-2*r*(r - 1)**2*(r + 1)**2/11
Solve 5/4*o**4 - 5/4*o**3 + 5/4*o - 5/4*o**2 + 0 = 0 for o.
-1, 0, 1
Suppose 5*o = 17*h - 20*h + 31, 0 = 5*h - 2*o. What is j in 1/6*j - 2/3*j**h + 0 = 0?
0, 1/4
Let z(j) be the first derivative of -3*j**5/5 - 3*j**4/2 - j**3 - 2. Factor z(o).
-3*o**2*(o + 1)**2
Let v(p) = -p**2 - 7*p + 5. Let i(u) = 2*u**2 + 20*u - 14. Let h be (3 - 1)*10/(-4). Let d(b) = h*i(b) - 14*v(b). Factor d(w).
2*w*(2*w - 1)
Let p(h) be the second derivative of 0*h**3 + 0*h**2 - 1/18*h**4 - 1/15*h**6 - 3*h - 1/10*h**5 + 0 - 1/63*h**7. Find q, given that p(q) = 0.
-1, 0
Factor -9/5*x + 0 - 3/5*x**2.
-3*x*(x + 3)/5
Find d, given that 1 + 5/6*d**2 + 13/6*d = 0.
-2, -3/5
Let c = 139/186 - 5/62. Factor 2*o - 2*o**2 + c*o**3 - 2/3.
2*(o - 1)**3/3
Let p be -1*(-2 + (-9)/3). Solve 6*q**2 + 3*q**5 - 6*q**p - 6*q**4 - 3*q + 6*q**5 = 0.
-1, 0, 1
Let o(t) = t**2 - 6*t - 5. Let a be o(7). Determine b, given that 3*b**5 - 3*b**4 + 0*b**4 - 4*b**2 - 3 - 3*b**3 + 3*b + 10*b**a - 3*b**3 = 0.
-1, 1
Let l = 6/41 - 139/1230. Let p(b) be the second derivative of 0*b**3 + 0 - 1/20*b**5 + l*b**6 - 3*b + 0*b**4 + 0*b**2. Solve p(x) = 0 for x.
0, 1
Let j be 18/(0 - 3) + -2 + 14. Find n such that -3/2*n**2 + j*n - 6 = 0.
2
Let m(i) be the second derivative of i**4/6 - 2*i**3/3 + i**2 + 5*i. Find n such that m(n) = 0.
1
Determine p so that 0 + 2/13*p**3 + 4/13*p**2 - 2/13*p**4 + 0*p = 0.
-1, 0, 2
Factor -8/9 - 4/3*l**3 - 2/9*l**4 - 26/9*l**2 - 8/3*l.
-2*(l + 1)**2*(l + 2)**2/9
Let i be ((-1)/(-2))/((-174)/(-1392)). Factor i - 11/2*w**3 - 3*w**4 - 1/2*w**5 - w**2 + 6*w.
-(w - 1)*(w + 1)*(w + 2)**3/2
Suppose -2*j - 8 = 2*j, 5*j = -4*w + 2. Suppose w*x + 1 = 4*x. Factor -x + 3*n - n + 2 + n**2.
(n + 1)**2
Let n(w) be the second derivative of -w**6/15 + 4*w**5/25 - w**4/30 - 2*w**3/15 + 6*w. Determine l so that n(l) = 0.
-2/5, 0, 1
Let s(y) be the first derivative of y**4 - 16*y**3 + 96*y**2 - 256*y - 2. Determine g, given that s(g) = 0.
4
Let w = 37 + -36. Let k(y) be the first derivative of w - 2*y + 3/2*y**2 - 1/3*y**3. Solve k(j) = 0 for j.
1, 2
Let t be ((-2)/(-10))/((-2)/(-10)). Factor a**2 - 2*a**2 + t + 0*a + a + 1.
-(a - 2)*(a + 1)
Let s(v) be the third derivative of v**5/210 - 5*v**4/84 - 4*v**2. What is b in s(b) = 0?
0, 5
Let g(d) be the second derivative of d**4/78 + d**3/39 - 2*d**2/13 + 2*d. Determine o, given that g(o) = 0.
-2, 1
Factor 10*g + 3 + g**2 - 14*g + g**4 - 5 - 3*g**3 + 7*g.
(g - 2)*(g - 1)**2*(g + 1)
Let a(b) be the second derivative of b**5/120 + b**4/36 - b**3/36 - b**2/6 - 12*b. Suppose a(p) = 0. What is p?
-2, -1, 1
Let m(d) be the third derivative of 5*d**8/336 - d**7/21 + d**5/6 - 5*d**4/24 - 10*d**2. Solve m(s) = 0 for s.
-1, 0, 1
Let k(n) = 4*n**2 + 8*n. Let h(i) = 9*i**2 + 16*i. Let g(o) = -3*h(o) + 7*k(o). Factor g(f).
f*(f + 8)
Suppose -2/3*i**3 + i**2 + 4/3 + 8/3*i - 1/3*i**4 = 0. What is i?
-2, -1, 2
Factor -4225 + 7*z + 19*z + 4217 - 6*z**2.
-2*(z - 4)*(3*z - 1)
Let r = 2 + 0. Let n be 0 + r*(0 - -1). Determine f, given that 3*f**2 + 3*f**2 - n*f**4 - 4*f**2 = 0.
-1, 0, 1
Let m(z) = 2 + 8 - 4*z - 5*z - 2*z**2 + 3*z**2. Let f be m(8). Solve -1/2*g - 19/2*g**f + 25/2*g**3 - 36*g**5 + 33*g**4 + 1/2 = 0.
-1/2, -1/4, 1/3, 1
Let g(y) be the third derivative of -3*y**7/560 - y**6/64 - y**5/160 + y**4/64 - 4*y**2. Factor g(n).
-3*n*(n + 1)**2*(3*n - 1)/8
Let b(m) be the first derivative of -3/2*m**2 + 7 + 0*m + m**3 - 3/5*m**5 + 3/4*m**4. What is d in b(d) = 0?
-1, 0, 1
Let d = -78 - -78. Let t(o) be the first derivative of 65/14*o**4 - 8/3*o**3 - 3 - 20/7*o**5 + 4/7*o**2 + d*o. Find h such that t(h) = 0.
0, 2/5, 1/2
Let b(v) be the first derivative of 2*v**3/9 + 3*v**2 + 16*v/3 + 20. Factor b(y).
2*(y + 1)*(y + 8)/3
Let d be (-39)/(-26) + ((-9)/4 - -1). Determine k so that 1/4*k**2 + 1/4*k**3 - d*k + 0 - 1/4*k**4 = 0.
-1, 0, 1
Let g be 5 + (1 - 0)*-1. Let y = 139 - 971/7. Suppose -4/7*r**3 + 0*r - y*r**g + 0 - 2/7*r**2 = 0. Calculate r.
-1, 0
Let x = 0 + 6. Factor l**3 - x*l**2 + l - l + 2*l**3.
3*l**2*(l - 2)
Factor 2/3*h**2 + 0 + 7/3*h**3 + 0*h.
h**2*(7*h + 2)/3
Let q be 57*((-2)/(-3) + -1). Let t = -11 - q. Factor -t*l**2 + 0*l + 9*l**2 + 1 - 2*l.
(l - 1)**2
Factor 2/3*k**3 - 2/3*k - 4/3 + 4/3*k**2.
2*(k - 1)*(k + 1)*(k + 2)/3
Let s(y) = -y**3 + 2*y**2 - y. Suppose -4*j + 52 = -0*j. Let b(u) = -2*u**3 + 4*u**2 - 2*u. Let r(x) = j*s(x) - 6*b(x). Find f, given that r(f) = 0.
0, 1
Let i(a) be the first derivative of -1/21*a**3 + 1/42*a**4 + 2*a - 2 + 0*a**2. Let k(n) be the first derivative of i(n). Factor k(p).
2*p*(p - 1)/7
Let q be (8/6)/((-24)/18 + 6). Factor q*b**2 - 2/7*b + 0.
2*b*(b - 1)/7
Let n(l) = 12*l - 57. Let h be n(5). Factor 0 - 3/4*k**2 - 1/2*k**h - 1/4*k.
-k*(k + 1)*(2*k + 1)/4
Let r(s) be the third derivative of s**8/840 + s**7/105 + 3*s**6/100 + 7*s**5/150 + s**4/30 - 8*s**2. Determine h, given that r(h) = 0.
-2, -1, 0
Let h(s) = -12*s**4 + 10*s**3 - 8*s**2 + 10*s + 6. Let b(u) = u**4 + u**3 - u**2 - u - 1. Let c(k) = 6*b(k) + h(k). Solve c(z) = 0.
0, 2/3, 1
Let f(b) = 5*b + b**3 - 2 + 7*b**2 - 5 + 1. Let s be f(-6). Factor 2/3*z**4 + s*z**2 + 0 - 1/3*z**5 - 1/3*z**3 + 0*z.
-z**3*(z - 1)**2/3
Let g(r) = -2*r + 38. Let j be g(19). Factor -1/3*b**5 + 2/3*b**3 + 0*b**2 + 0*b**4 - 1/3*b + j.
-b*(b - 1)**2*(b + 1)**2/3
Let l(t) be the first derivative of t**6/2 + 18*t**5/5 + 21*t**4/2 + 16*t**3 + 27*t**2/2 + 6*t + 38. Find y, given that l(y) = 0.
-2, -1
Suppose 1143*j = 1136*j + 21. Find u such that 0 + 0*u - 1/2*u**j - u**2 = 0.
-2, 0
Let h = 5 + 0. Factor 3*v**3 - h*v**5 - 1 - 3*v**4 + 1 + 2*v**5 + 3*v**2.
-3*v**2*(v - 1)*(v + 1)**2
Let h(p) be the third derivative of -1/330*p**5 + 0 + 1/66*p**4 + p**2 + 0*p + 0*p**3 - 1/660*p**6. Factor h(k).
-2*k*(k - 1)*(k + 2)/11
Let n(a) be the first derivative of -a**4/2 - 2*a**3/3 + a**2 + 2*a + 9. Solve n(q) = 0.
-1, 1
Let x(c) be the second derivative of -c**6/60 - c**5/20 + c**4/24 + c**3/6 - 8*c. Factor x(b).
-b*(b - 1)*(b + 1)*(b + 2)/2
Let a(j) = -3*j**4 + 2*j**3 + 5*j - 5. Let c(p) = -p**4 + p - 1. Let h(r) = a(r) - 5*c(r). Factor h(l).
2*l**3*(l + 1)
Suppose 2*z + m - 7 = 0, 7 = z + 2*z + 5*m. Factor -4*r**2 - 2*r**5 + 2*r**z + 2*r**2 + 3*r**4 + 2*r**3 - 3*r**4.
-2*r**2*(r - 1)**2*(r + 1)
Let g(h) be the first derivative of -h**6/60 + 4*h**5/75 - h**4/60 - 2*h**3/15 + h**2 + 5. Let v(i) be the second derivative of g(i). What is z in v(z) = 0?
-2/5, 1
Let m(v) be the second derivative of -v**5/15 - v**4/12 + v**3 - 2*v**2 + 3*v. Let j(d) be the first derivative of m(d). Factor j(k).
-2*(k - 1)*(2*k + 3)
Let a(g) be the first derivative of g**5/20 - g**4/12 + 2*g - 2. Let o(k) be the first derivative of a(k). Factor o(h).
h**2*(h - 1)
Let d(m) = m**4 - 3*m**2 + 2*m + 2. Let x(u) = -6*u**4 + u**3 + 16*u**2 - 11*u - 11. Let l(y) = -11*d(y) - 2*x(y). Factor l(p).
p**2*(p - 1)**2
Let b(o) = o**2 + 11*o. Let j be b(-11). Suppose 0*r