(w - 4)*(w + 1)**2
Let b = 71263/5412 - 488/41. Let k = b - -3/44. Find u, given that -1/3*u**4 + 0*u - 4/3*u**2 + 0 + k*u**3 = 0.
0, 2
Determine s so that 1/6*s**3 - 1/6*s + 0*s**2 + 0 = 0.
-1, 0, 1
Let i(r) be the second derivative of 0*r**4 + 0 + 0*r**2 - 3/20*r**5 - 1/56*r**7 + 1/10*r**6 - 32*r + 0*r**3. Suppose i(x) = 0. Calculate x.
0, 2
Let n(z) = 2*z**3 + 8*z**2 + 117*z + 471. Let t be n(-4). Factor -3/5*q**2 - 3/5*q**t + 3/5 + 3/5*q.
-3*(q - 1)*(q + 1)**2/5
Find n such that 2/3*n - 1/3*n**4 + 1/3*n**2 + 0 - 2/3*n**3 = 0.
-2, -1, 0, 1
Let k(b) be the second derivative of b**6/6 - 2*b**5 + 5*b**4/2 + 20*b**3/3 - 35*b**2/2 - 12*b + 2. Factor k(l).
5*(l - 7)*(l - 1)**2*(l + 1)
Let q(o) be the second derivative of -1/36*o**4 - 2/9*o**3 - 31*o - 1/2*o**2 + 0. Factor q(w).
-(w + 1)*(w + 3)/3
Let c(q) = q + 15. Suppose o - 5*b + 4 = 0, -2*o + 2*b = -2*b + 14. Let d be c(o). Factor 2*w**2 - d*w**2 + 2*w + 4*w**3 - 6*w**3 + 4.
-2*(w - 1)*(w + 1)*(w + 2)
Let n = 67 + -74. Let c = n + 7. Factor 0*s - s**3 + 0*s**2 - 7/2*s**5 + 9/2*s**4 + c.
-s**3*(s - 1)*(7*s - 2)/2
Let x be 1488/(-32) - -36 - (-12 - -1). Factor t**2 - t**3 - 3/2*t**4 - 1/2*t**5 + 3/2*t + x.
-(t - 1)*(t + 1)**4/2
Let b be (-16)/40*242/(-200). Let x = b - -2/125. Solve -3/2*s**2 - 1/2*s**3 - x - 3/2*s = 0.
-1
Let g be 8/6*-12*(-7)/56. Factor 2/5 + 1/5*i**g - 3/5*i.
(i - 2)*(i - 1)/5
Suppose 5*y = 3*n - 2 + 131, 0 = 2*y - n - 51. Factor 2*x**3 - 27*x**2 - 2*x**3 + 3*x**3 + y*x + 0*x**3.
3*x*(x - 8)*(x - 1)
Determine o, given that -20*o + 68*o**2 - 70*o**2 + 54*o = 0.
0, 17
Let l(w) be the second derivative of 0*w**3 + w**2 - 1/12*w**4 + 0 - 2*w + 1/60*w**5. Let g(x) be the first derivative of l(x). Factor g(c).
c*(c - 2)
Let r(t) be the second derivative of -3*t**5/70 - t**4/42 + t**3/7 + t**2/7 - 10*t. Factor r(n).
-2*(n - 1)*(n + 1)*(3*n + 1)/7
Let l(c) be the third derivative of -c**6/660 + 7*c**5/330 + c**4/132 - 7*c**3/33 - 28*c**2. Suppose l(m) = 0. What is m?
-1, 1, 7
Let o be 0/(-2) - (1 - -2). Let d be (o - (-10)/3)*21. Solve u**2 + 6*u**2 + 2*u**3 + d*u - 3*u - 4 = 0.
-2, 1/2
Let v = 84 + -87. Let h be v*21/90*16/(-84). Factor -h - 2/15*n**5 + 2/5*n - 4/15*n**3 - 4/15*n**2 + 2/5*n**4.
-2*(n - 1)**4*(n + 1)/15
Let c = -355/19 + 19. Let o(a) = -a**2 + 38*a - 103. Let y be o(35). Solve c*b**y + 2/19 + 6/19*b + 2/19*b**3 = 0.
-1
Let y(b) be the first derivative of 3/35*b**5 - 20 + 0*b**4 + 0*b**2 + 3/7*b - 2/7*b**3. Factor y(n).
3*(n - 1)**2*(n + 1)**2/7
Let j be -3 + 2 - ((-342)/4 - -2). Let w = -81 + j. Suppose -w*y**3 - y**2 + 3/2*y + 1 = 0. What is y?
-1, -2/3, 1
Let v be (322/(-28) - -11)*0/3. Factor 3/5*z**2 + v + 0*z.
3*z**2/5
Suppose -w - 19 = -2*d, -2*d + 8 + 16 = 4*w. Factor 20*i**3 - 5*i**4 - 20*i - 12 + 28 - 1 - d*i**2.
-5*(i - 3)*(i - 1)**2*(i + 1)
Let f(w) be the first derivative of -21*w**5/5 + 183*w**4/4 + 25*w**3 - 183*w**2/2 - 54*w + 185. Suppose f(g) = 0. What is g?
-1, -2/7, 1, 9
Factor 4/3*s**4 - 32/3*s**3 - 40/3*s - 76/3*s**2 + 0.
4*s*(s - 10)*(s + 1)**2/3
Let a(t) be the second derivative of -21*t**5/20 + 18*t**4 - 10*t**3 - 7*t - 30. Find m such that a(m) = 0.
0, 2/7, 10
Suppose 11*m - 176 = -33. Let v be (m/(260/32))/1. Factor v*h + 2/5*h**2 + 8/5.
2*(h + 2)**2/5
Suppose 5*r = -0*r + 10. Suppose 0 = 5*u + 3*f - 35, 272 = 8*u - 4*f + 260. Let -3/5*i**3 - 1/5*i - 3/5*i**r + 0 - 1/5*i**u = 0. Calculate i.
-1, 0
Let n(z) be the second derivative of -z**5/20 + z**4/3 - 2*z**3/3 - 2*z + 1. Determine f so that n(f) = 0.
0, 2
Let c(o) be the third derivative of -o**7/840 + o**5/120 - 2*o**3/3 + 2*o**2. Let f(a) be the first derivative of c(a). Solve f(n) = 0.
-1, 0, 1
Let d = -1/1370 + 1097/1370. Suppose 8/5*p - d - 4/5*p**2 = 0. What is p?
1
Let o = -35 - -4. Let c = -28 - o. Suppose -1/2*b**2 - c*b - 9/2 = 0. What is b?
-3
Let k(a) = -16*a**3 + 11*a**2 - 9*a - 7. Let f(x) = -11*x**3 + 7*x**2 - 6*x - 5. Let t(r) = -7*f(r) + 5*k(r). Factor t(d).
-3*d*(d - 1)**2
Suppose 10*l - 8 = 14*l. Let i be 34/40 - l/(-8). Find h, given that 12/5 + i*h**2 - 12/5*h = 0.
2
Let n(i) be the second derivative of -1/96*i**4 + 9*i + 0*i**2 + 0 - 1/48*i**3. Solve n(h) = 0.
-1, 0
Let b(d) be the first derivative of d**6/75 - 4*d**5/125 - 4*d**4/25 + 32*d**3/75 + 16*d**2/25 - 64*d/25 - 680. Let b(k) = 0. What is k?
-2, 2
Find z such that -2*z**3 - 2*z**3 - 40 - z**3 + 237*z**2 - 272*z**2 - 70*z = 0.
-4, -2, -1
Let f(u) be the first derivative of u**7/126 - 2*u**6/45 + u**5/12 - u**4/18 + 16*u + 34. Let p(w) be the first derivative of f(w). Suppose p(d) = 0. What is d?
0, 1, 2
Let a be 2 + 3 + (-55)/11. Suppose 0*b + 7 = -2*d + 5*b, -3*d - 3*b + 21 = a. Factor 0 + 1/2*v + 5/6*v**3 - 7/6*v**2 - 1/6*v**d.
-v*(v - 3)*(v - 1)**2/6
Let f = -8793/5 - -1767. Determine q so that -2/5*q**3 - 16/5*q**2 - f*q - 36/5 = 0.
-3, -2
Suppose 872*m + 24 = 884*m. Find n, given that -7/9*n**4 + 13/9*n + 1/9*n**5 - 22/9*n**2 + m*n**3 - 1/3 = 0.
1, 3
Let n(g) = -g + 7. Let l be n(7). Suppose -4*s + 3*w = 5*w + 6, -3*s + 5*w + 15 = 0. Suppose -h**2 - h - h + l*h + s*h = 0. What is h?
-2, 0
Suppose -4*l = 2*i + 18, 0*i = 3*l - 4*i + 30. Let n be 10*(l/(-30) + 6/20). Determine f, given that 9/2*f**4 + 3/2*f**2 + 0 + 0*f - 3/2*f**n - 9/2*f**3 = 0.
0, 1
Let x be ((-2)/(-1))/2*4. Let y(p) = -p**3 - 5*p**2 + 8*p + 14. Let v be y(-6). Suppose -w**4 + 0*w**3 + 2 + 2*w**v - 3*w**x - 6*w**3 + 6*w = 0. Calculate w.
-1, -1/2, 1
Let q(g) be the third derivative of 0 + 6*g**2 - 2/15*g**4 + 0*g - 1/150*g**5 - 16/15*g**3. Factor q(v).
-2*(v + 4)**2/5
Let j(t) be the second derivative of -t**5/50 - t**4/30 + 2*t**3/15 + 20*t. Factor j(m).
-2*m*(m - 1)*(m + 2)/5
Let y = -51 - -37. Let g(b) = -b**4 + b**3 - b + 1. Let m(h) = 9*h**4 - 5*h**3 - 6*h**2 - 3*h - 11. Let a(s) = y*g(s) - 2*m(s). Solve a(q) = 0.
-1, 2
Let h be (30/16)/((-126)/(-840)). Solve 5/2*u**4 - h*u**2 - 15/2*u**3 + 0 + 5/2*u**5 - 5*u = 0 for u.
-1, 0, 2
Let b = -189 + 189. Let f(v) be the first derivative of 0*v**2 + b*v**3 + 0*v - 1/2*v**4 + 3. Suppose f(p) = 0. Calculate p.
0
Let k(p) be the third derivative of p**6/4 + p**5/15 - p**4/12 + 10*p**2. Factor k(n).
2*n*(3*n + 1)*(5*n - 1)
Let r(x) be the first derivative of 4*x**3/15 - 6*x**2 + 56*x/5 + 147. Factor r(l).
4*(l - 14)*(l - 1)/5
Factor 7*f - 14 - 2 + f**2 - 2 - 4*f.
(f - 3)*(f + 6)
Let q(m) be the first derivative of -m**4/5 - 14*m**3/5 - 9*m**2/5 + 4*m + 103. Solve q(o) = 0 for o.
-10, -1, 1/2
Let t(a) be the second derivative of -a**4/12 - 3*a**3/8 - a**2/4 + 3*a - 22. Solve t(f) = 0 for f.
-2, -1/4
Let p = -113 - -116. Find l, given that -599 + l**4 + 599 - p*l**2 + 2*l**3 = 0.
-3, 0, 1
Suppose 4716*o - 4686*o = 0. Find x, given that o*x - 4/7*x**4 + 0 + 0*x**2 - 8/7*x**3 = 0.
-2, 0
Let w(p) be the first derivative of -49*p**5/10 - 175*p**4/8 + 18*p**3 + 25*p**2 + 8*p - 117. Suppose w(j) = 0. Calculate j.
-4, -2/7, 1
Suppose -q - 8 = -3*q. Let a be 10/q - 33/(-22). Find k such that 34*k**4 - 40*k**3 + 20*k**2 + 3 - a*k**4 - 8*k**5 - 5 = 0.
-1/4, 1
Let f(b) be the third derivative of -13*b**6/960 - 9*b**5/80 - b**4/24 + 99*b**2. Let f(s) = 0. What is s?
-4, -2/13, 0
Let o be (-7)/((-84)/(-18))*(1 + -5). Let k be (-4)/8*o*2/(-2). Factor 17/2*g**k - 20*g**2 + 0 + 8*g - g**4.
-g*(g - 4)**2*(2*g - 1)/2
Let w(r) be the third derivative of -1/280*r**6 + 16*r**2 + 0 - 1/7*r**4 - 9/140*r**5 + 0*r**3 + 0*r. Suppose w(k) = 0. What is k?
-8, -1, 0
Let x(u) = u**2 + 21. Let d be x(0). Let t be 2/7 - (-57)/d. Find r, given that -4*r - 5*r**2 + 4*r - r**4 + 2*r**t + 4*r**2 = 0.
0, 1
Let h(v) = 8*v - 2. Let y be h(-1). Let p be y/45 + (-20)/(-9). Factor -6*q - 5*q**2 - q**2 + 3*q**p.
-3*q*(q + 2)
Factor -51*a + 5*a**2 - a**2 + 60 + 0*a**2 + 44 - 9*a.
4*(a - 13)*(a - 2)
Let d be ((-4)/(-14))/(10/70). Suppose 5*m = -2*o + 8, d*m - 2*o + 12 = o. Solve -3/4*z**3 + 0*z**2 - 27/4*z**5 + m + 9/2*z**4 + 0*z = 0 for z.
0, 1/3
Let z = -27 - -34. Let x(a) = -a + 11. Let w be x(z). Solve -2*c - c**3 - 3*c + w + 5*c**2 - c - 2*c = 0.
1, 2
Let s(t) be the second derivative of t**7/840 - t**6/120 + t**5/40 + t**4/3 - 28*t. Let v(g) be the third derivative of s(g). Find b such that v(b) = 0.
1
Let n(v) = -40*v**3 + 55*v**2 - 5*v - 5. Suppose 20 - 24 = 4*x. Let s(m) = m**3 + m - 1. Let z(r) = x*n(r) + 5*s(r). What is p in