 2*x**3/9 - 218*x**2/3 + 23762*x/3 + 463. Find w, given that s(w) = 0.
109
Let v(n) = 17*n - 9. Let d be v(3). Factor 11*k + 26*k**2 - 43*k - 48*k**2 - d*k**2 - 4.
-4*(4*k + 1)**2
Let h be (1 - (-3 + 4)) + 18. Suppose 0 = 3*a - h + 6. Factor 0 + 2/5*t**a - 2/5*t - 6/5*t**3 + 6/5*t**2.
2*t*(t - 1)**3/5
Let p = -2663 - -21349/8. Factor 0 + 0*m + p*m**4 + 3/4*m**2 - 51/8*m**3.
3*m**2*(m - 1)*(15*m - 2)/8
Let c = -42/1363 - -61629/9541. What is n in -c*n**2 + 39/7*n + 6/7 = 0?
-2/15, 1
Suppose 46*n = -58*n + 96*n. Factor 2/5*j**2 + 1/5*j**5 + 0 + n*j**4 - 3/5*j**3 + 0*j.
j**2*(j - 1)**2*(j + 2)/5
What is j in 44 + 41/3*j - 1/3*j**2 = 0?
-3, 44
Let r(g) be the second derivative of -3*g**5/40 + 3*g**4/8 - g**3/2 - 87*g. Let r(n) = 0. What is n?
0, 1, 2
Let c be 20/(-10)*-2 + -1. Let r(k) be the third derivative of 0 + 0*k + 1/1140*k**6 - 7*k**2 + 1/114*k**5 + 4/57*k**c + 2/57*k**4. Factor r(h).
2*(h + 1)*(h + 2)**2/19
Let n be (256/32)/(1/5). Let m(g) be the first derivative of -35/4*g**4 - 30*g**3 - n*g - 5 - g**5 - 50*g**2. Factor m(u).
-5*(u + 1)*(u + 2)**3
Let b = 22/101 - 4194/707. Let k = b + 6. Factor -k*t - 1/7*t**2 - 1/7.
-(t + 1)**2/7
Let m = 6/28253 + 109932381/197771. Let x = -555 + m. Factor -2/7*y**3 + 2/7 + x*y**2 - 6/7*y.
-2*(y - 1)**3/7
Let f(j) be the second derivative of j**7/126 + j**6/90 - j**5/10 + j**4/18 + 5*j**3/18 - j**2/2 - 20*j - 10. Factor f(d).
(d - 1)**3*(d + 1)*(d + 3)/3
Let c(o) = -2*o**3 + o**2 + 7*o - 7. Let u be c(2). Let w be u*(24/(-6))/4. Suppose 1/6*b**4 - 1/6*b**w - 1/6*b**2 + 1/6*b**3 + 0 + 0*b = 0. What is b?
-1, 0, 1
Find x such that -1/2*x + 0 + 1/6*x**2 - 1/6*x**4 + 1/2*x**3 = 0.
-1, 0, 1, 3
Let h be ((-9)/(-54))/(1/(-6) - -1). Let y(o) be the first derivative of 1 + 0*o**2 + 1/3*o**3 - 1/6*o**6 - h*o**5 + 0*o + 1/4*o**4. Factor y(a).
-a**2*(a - 1)*(a + 1)**2
Let w(g) be the second derivative of -3*g**5/140 + g**4/14 + 5*g**3/14 - 9*g**2/7 - 127*g. Factor w(x).
-3*(x - 3)*(x - 1)*(x + 2)/7
Let o(r) be the second derivative of r**6/180 + r**5/90 - r**4/18 + r**2 - 5*r. Let c(l) be the first derivative of o(l). Solve c(w) = 0.
-2, 0, 1
Factor -36 - 3211*a**2 - 682*a + 361/2*a**3.
(a - 18)*(19*a + 2)**2/2
Find w, given that 0*w**3 + 0*w**2 - 15*w - 2*w**2 + 11*w + 2*w**3 = 0.
-1, 0, 2
Let y = -14 - -17. Suppose -l - l + 2 = -y*d, -l + 6 = d. Factor 2*r**3 + 0*r**2 - d*r - 2*r**4 - r**2 + 3*r**2.
-2*r*(r - 1)**2*(r + 1)
Let y be (-1)/(2/6) - (5 - 12). Let j(f) be the first derivative of -4/3*f**3 - 4*f - y*f**2 + 5. Factor j(h).
-4*(h + 1)**2
Let y be (1/9)/((-256)/(-1536)). Solve -2/3*j**4 + 2*j**2 - y*j**3 + 2/3*j - 4/3 = 0 for j.
-2, -1, 1
Let g(u) be the first derivative of -u**4/8 + 11*u**3 - 129*u**2/4 + 32*u + 88. Solve g(j) = 0 for j.
1, 64
Suppose 1 - 7 = -3*l. Let z be l + (-42)/(-9) - 4. Solve 2*p - z*p**3 + 2/3 + 0*p**2 = 0.
-1/2, 1
Suppose 5*n = 6*n. Suppose d = 0, -4*t + 8 = -n*d - 4*d. Factor -3*z + 26 + 4*z**t - 30 + 3*z.
4*(z - 1)*(z + 1)
Suppose 9 = 3*x - 6. Let w be 22/x - (5 + -1). Determine b, given that 0 + 1/5*b**2 + w*b - 1/5*b**3 = 0.
-1, 0, 2
Suppose 6*h = 32 + 70. Suppose -5*z = -h*z + 24. Solve 1/3*f**z + 0*f + 0 = 0 for f.
0
Factor 12/5*x**3 - 24*x + 40 + 2/5*x**4 - 22/5*x**2.
2*(x - 2)**2*(x + 5)**2/5
Let t be 8 + (2 - -1 - 2) - 2. Factor 0*k + t*k - 9*k + 3*k**3 - 4*k**3 - 3*k**2.
-k*(k + 1)*(k + 2)
Suppose -2*t + 17*l + 20 = 21*l, -l + 3 = 0. Determine v so that 3/4 + 3/8*v + 3/4*v**t - 3/2*v**2 + 3/8*v**5 - 3/4*v**3 = 0.
-2, -1, 1
Let w = 676 + -676. Let t(f) be the third derivative of w*f - 1/144*f**4 - 1/240*f**6 + 1/1260*f**7 - 8*f**2 + 1/120*f**5 + 0 + 0*f**3. What is k in t(k) = 0?
0, 1
Let s(r) be the first derivative of 0*r + 1/240*r**6 - 1/16*r**4 - 3 - 10/3*r**3 + 0*r**2 + 0*r**5. Let p(v) be the third derivative of s(v). Factor p(f).
3*(f - 1)*(f + 1)/2
Let n(v) = 6*v**3 - 276*v**2 - 660*v - 153. Let z(f) = f**3 + 2*f**2 - 1. Let t(l) = n(l) + 15*z(l). Determine j, given that t(j) = 0.
-2, -2/7, 14
Let y(x) = -2*x**2 + 23*x - 18. Let w(b) = -3*b**2 + 22*b - 17. Let m(d) = 3*w(d) - 2*y(d). Factor m(n).
-5*(n - 3)*(n - 1)
Let v = 47 + -43. Let r(t) = 16*t**2 - 4*t + 10. Let k(o) = -3*o**2 + o - 2. Let w(n) = v*r(n) + 22*k(n). Suppose w(d) = 0. Calculate d.
1, 2
Suppose 2*t = -15 + 3. Let g be -3 - (-3 + 6 + t). Factor 0*p + g*p - p**2 + p + 1 - 2*p**3 + p**3.
-(p - 1)*(p + 1)**2
Let k(d) = 2*d**2 + d. Let y(c) = -10*c**2 - 10*c + 20. Let t(j) = -4*k(j) - y(j). Factor t(u).
2*(u - 2)*(u + 5)
Let o = -48 - -72. Factor -60*i + 15*i**3 - 8*i**3 + o*i**2 + 48 - 10*i**3.
-3*(i - 4)*(i - 2)**2
Let d(m) be the second derivative of -1/160*m**5 + 0*m**2 + 0*m**3 - 7*m - 1/48*m**4 + 0. Suppose d(g) = 0. Calculate g.
-2, 0
Suppose -259 + 126 = -9*y - 124. What is f in 3/2*f + 3/2*f**2 - f**3 - y = 0?
-1, 1/2, 2
Let s(m) be the third derivative of m**5/15 + m**3/2 + 2*m**2. Let i be s(-3). Factor 3*a**3 - 6*a**3 - 45*a - 21*a**2 + 12 - i.
-3*(a + 1)*(a + 3)**2
Let o(v) be the first derivative of 2*v**3/9 + 13*v**2/3 - 20*v + 27. Factor o(h).
2*(h - 2)*(h + 15)/3
Let h(j) be the second derivative of j**7/126 - j**6/15 + 2*j**5/15 + j**4/18 - j**3/2 + 2*j**2/3 - j. Factor h(y).
(y - 4)*(y - 1)**3*(y + 1)/3
Suppose 0 = 100*k - 102*k + 390. Let a be 4/(-22) + k/286. Solve 3/2*c + 0 + 2*c**2 + a*c**3 = 0.
-3, -1, 0
Let j(s) be the first derivative of 4*s**5/15 + s**4 - 8*s**3/9 - 8*s**2 - 32*s/3 + 117. Solve j(l) = 0.
-2, -1, 2
Let c(t) = -7*t**2 + 8*t + 35. Let r(h) = 34*h**2 - 40*h - 174. Let i(n) = -14*c(n) - 3*r(n). Factor i(w).
-4*(w - 4)*(w + 2)
Suppose g - 4 = 5*x, 0*g - 5*x = -3*g - 8. Let i be 19/10 + g/15. Factor i*o**2 + 0 + 1/2*o + 3/2*o**3 + 1/2*o**4.
o*(o + 1)**3/2
Let x(u) be the first derivative of 4 + 0*u**4 - 4/5*u**5 - 2/3*u**6 + 0*u + 0*u**2 + 0*u**3. Suppose x(m) = 0. What is m?
-1, 0
Let k(n) = n**2. Let w(o) be the second derivative of 1/6*o**4 + 0*o**2 + 0 + 0*o**3 - o - 1/10*o**5. Let l(s) = -2*k(s) - w(s). Factor l(d).
2*d**2*(d - 2)
Let v(a) be the third derivative of 0*a - 50*a**2 + 0 - 128*a**3 + 4*a**4 - 1/20*a**5. Factor v(w).
-3*(w - 16)**2
Determine h so that 5/8*h + 1/8*h**3 + 25/4 - h**2 = 0.
-2, 5
Let m(k) be the first derivative of 0*k - 3 + 9/2*k**2 + 1/3*k**3. Let m(t) = 0. Calculate t.
-9, 0
Factor 183*t**3 + 189*t**2 - 12 + 367*t - 256*t - 471*t.
3*(t - 1)*(t + 2)*(61*t + 2)
Suppose -x - 2*x = 0. Suppose -4*b = -2*p + 14, 0 = 7*p - 2*p - 3*b - 21. Factor 1/4*k**p - 1/4*k + 0 + x*k**2.
k*(k - 1)*(k + 1)/4
Suppose 0*l**3 - 2/3*l**5 + 0 + 0*l**2 + 0*l - 88/3*l**4 = 0. Calculate l.
-44, 0
Let n(q) = 42*q**3 + 69*q**2 + 21*q - 66. Let w(y) = y**3 + y**2 - y - 6. Let c(p) = -n(p) + 12*w(p). Factor c(m).
-3*(m + 1)*(2*m + 1)*(5*m + 2)
Let j(t) be the first derivative of 3*t**4/16 - 13*t**3/2 + 507*t**2/8 - 61. Solve j(n) = 0 for n.
0, 13
Let f(w) be the first derivative of 5*w**4/12 + 10*w**3/3 + 10*w**2 - 13*w - 3. Let b(o) be the first derivative of f(o). Suppose b(l) = 0. Calculate l.
-2
Let d(j) be the first derivative of -j**4/20 - 2*j**3/15 - j**2/10 + 151. Solve d(r) = 0.
-1, 0
Let f(l) be the third derivative of 1/360*l**5 + 1/144*l**4 - 1/720*l**6 + 0 - 1/36*l**3 + 0*l + 11*l**2. Factor f(q).
-(q - 1)**2*(q + 1)/6
Let w(m) be the third derivative of -9*m**2 + 0*m**3 + 0 + 0*m - 1/1848*m**8 + 1/1155*m**7 + 1/660*m**6 - 1/330*m**5 + 0*m**4. Factor w(i).
-2*i**2*(i - 1)**2*(i + 1)/11
Suppose -38/15*i**2 + 64/15*i - 4/15*i**3 - 22/15 = 0. What is i?
-11, 1/2, 1
Let p = -40/407 + 34708/5291. Let g = -1208/195 + p. Find v such that 14/5*v**3 + g*v - 32/5*v**5 + 2*v**2 - 16/3*v**4 + 0 = 0.
-1, -1/4, 0, 2/3
Factor -47*f**3 + 4*f**4 - f + 39*f**3 - 4*f**2 + 9*f.
4*f*(f - 2)*(f - 1)*(f + 1)
Suppose 46*j - 37 = 101. Let d(n) be the first derivative of 7/6*n**j - 7/8*n**2 + 7 + 1/4*n - 1/2*n**4. Suppose d(m) = 0. What is m?
1/4, 1/2, 1
Let j(g) be the second derivative of 7*g**5 + 74*g**4/3 - 16*g**3 + 61*g. Determine t so that j(t) = 0.
-12/5, 0, 2/7
Suppose 20*p = 22*p - 4. Factor -4*c**3 - 8*c**2 - 11*c**2 + 0*c + 7*c**p - 8*c.
-4*c*(c + 1)*(c + 2)
Suppose -12*i + 2*i - 5 = -25. Factor 2/15*g**3 - 2/15*g**4 + 2/15*g**i + 0 - 2/15*g.
-2*g*(g - 1)**2*(g + 1)/15
Solve 4*w**2 + 72*w + 2*w**2 + 0*w**2 - 4*w**2 = 0.
-36, 0
Let -2/7*i**5 + 2/7*i**4 + 22/