4/9 - 220*x**3/9 - 200*x**2/3 + x. Suppose w(s) = 0. What is s?
-2/5, 2/7, 5
Let n(r) be the first derivative of -1/15*r**2 + 2/45*r**3 + 0*r - 6. Determine b so that n(b) = 0.
0, 1
Let y be (-1)/7 - 885/(-21). Determine h so that -5*h**5 - 75*h**2 - 12 - y*h - 21*h**4 - 57*h**3 + 2*h**5 - 6*h = 0.
-2, -1
Let c(r) be the first derivative of -r**3 + 0*r**2 + 3/5*r**5 + 1/2*r**6 - 3/4*r**4 + 0*r - 4. Determine k, given that c(k) = 0.
-1, 0, 1
Let w(f) be the third derivative of f**5/30 - f**4/6 - f**3 + 3*f**2. Factor w(k).
2*(k - 3)*(k + 1)
Let w = 77 - 75. Let g(q) be the first derivative of -1/9*q**3 + 0*q - 1 + 1/3*q**w. Suppose g(m) = 0. Calculate m.
0, 2
Let s(w) be the third derivative of -w**4/24 + 7*w**3/3 + 3*w**2. Let u be s(11). Solve -t**5 + 6*t**3 + 0*t**u - t**3 - 4*t**3 = 0.
-1, 0, 1
Factor 0*z + 3/5*z**5 + 3/5*z**2 - 3/5*z**3 + 0 - 3/5*z**4.
3*z**2*(z - 1)**2*(z + 1)/5
Let b be (-8)/(-32)*8/9. Let g = -20 - -22. Factor -b*p**g - 4/9 + 2/3*p.
-2*(p - 2)*(p - 1)/9
Factor 2/11*x**2 + 0 - 2/11*x**3 + 2/11*x - 2/11*x**4.
-2*x*(x - 1)*(x + 1)**2/11
Let h(t) = -9*t**4 - 9*t**3 - 3*t**2 + 3*t. Let j(p) = p**4 - p**2 - p. Let i(s) = -h(s) - 6*j(s). What is u in i(u) = 0?
-1, 0
Let v = -19317/70 + 276. Let i(a) be the third derivative of 3*a**2 + 0 - 23/60*a**5 - 1/3*a**3 - 1/40*a**6 - 13/24*a**4 + v*a**7 + 0*a. Solve i(f) = 0 for f.
-1, -1/3, 2
Let f(z) be the first derivative of -3 + 0*z**2 - 1/12*z**6 + 0*z - 1/10*z**5 + 1/8*z**4 + 1/6*z**3. Factor f(p).
-p**2*(p - 1)*(p + 1)**2/2
Let a(s) be the third derivative of 1/105*s**5 - 6*s**2 + 1/1176*s**8 + 0*s**6 + 0*s**3 + 0*s - 2/735*s**7 - 1/84*s**4 + 0. Factor a(h).
2*h*(h - 1)**3*(h + 1)/7
Let k(c) be the first derivative of 0*c**2 + 0*c + 1/12*c**3 - 1. Factor k(v).
v**2/4
Let h(r) be the third derivative of r**5/195 + 7*r**4/156 + r**3/13 + 18*r**2. What is o in h(o) = 0?
-3, -1/2
Let s = -7 - -10. Factor -s*i**4 - 6*i**3 - 3*i**2 + i**4 - i**4.
-3*i**2*(i + 1)**2
Let v = -231/4 + 58. Suppose 0 = -a - 2*x - 3, -3*x - 9 = 0. Determine u so that -v*u**a + 1/2*u**2 + 0 - 1/4*u = 0.
0, 1
Let s(l) be the first derivative of -1 - 13*l**4 + 6*l**3 - 6*l**2 + 11*l**4 + 1 + 2*l - 1. Find w such that s(w) = 0.
1/4, 1
Factor 22 - 7*n + 107 + n**2 - 19*n + 40.
(n - 13)**2
Let x = -90 - -721/8. Let l(c) be the second derivative of 2*c - x*c**2 - 1/16*c**4 + 1/8*c**3 + 0 + 1/80*c**5. Let l(z) = 0. Calculate z.
1
Suppose -3*q**4 + 18*q**3 + 9 + 15*q**5 - 6*q**2 + 0*q**2 - 18*q**5 - 15*q = 0. Calculate q.
-3, -1, 1
Let z(u) be the second derivative of 3*u**7/14 + 4*u**6/5 - 9*u**5/20 - 3*u**4 + 2*u**3 - 2*u. Let z(s) = 0. What is s?
-2, 0, 1/3, 1
Let z = 2 - 4. Let y be 6 + (z - 0) + 2. Factor -4*w**4 + y*w + 2*w**3 - 2*w**4 + 7*w**3 - 3*w**5 + 3*w**4 + 15*w**2.
-3*w*(w - 2)*(w + 1)**3
Let b(c) be the first derivative of 9*c**6/40 + 3*c**5/10 + c**4/6 + c**3/3 - 3. Let s(x) be the third derivative of b(x). What is l in s(l) = 0?
-2/9
Let h(b) be the third derivative of b**7/1890 + b**6/1080 - b**5/270 + 16*b**2. Solve h(g) = 0.
-2, 0, 1
Factor 0*a + 0 + 0*a**3 + 9/2*a**4 - 3/2*a**5 - 6*a**2.
-3*a**2*(a - 2)**2*(a + 1)/2
Let n(p) = -p**3 + 7*p**2 + p - 40. Let v be n(6). Let 0 - 2/7*w**v + 0*w = 0. Calculate w.
0
Let j(p) be the second derivative of p**7/1680 + p**6/720 - p**5/120 - p**3/2 - 2*p. Let q(t) be the second derivative of j(t). Factor q(h).
h*(h - 1)*(h + 2)/2
Factor 11/9*d + 1/9*d**3 - 7/9*d**2 - 5/9.
(d - 5)*(d - 1)**2/9
Let t(l) be the second derivative of -l**7/1365 + l**6/195 - 2*l**5/195 - l**2/2 - 2*l. Let d(n) be the first derivative of t(n). Solve d(b) = 0.
0, 2
Suppose 5*y - 2*a = 2*a, a = -y. Suppose y - 1/4*u**2 + 1/2*u = 0. What is u?
0, 2
Let d(r) be the first derivative of 2*r**5/5 + r**4/2 - 4*r**3/3 + 10. Factor d(w).
2*w**2*(w - 1)*(w + 2)
Let q(s) = -13*s**3 - 5*s**2 + 7. Let a(g) = 7*g**3 + 2*g**2 + 2*g - 4. Let v(m) = m. Let w(n) = -a(n) + 2*v(n). Let y(k) = 4*q(k) - 7*w(k). Factor y(c).
-3*c**2*(c + 2)
Let c(u) = -u - 1. Let h be c(-4). Factor -h*d**3 + d**3 + 2*d**5 + 0*d**3.
2*d**3*(d - 1)*(d + 1)
Let p(r) be the first derivative of -r**4 + 6*r**2 + 8*r + 5. Find v such that p(v) = 0.
-1, 2
Suppose 3*j + 12 = 0, -3*j = v - 0 - 4. Let l = v - 14. Find c such that 3/2 - 9/2*c**l - 3*c**3 + 0*c = 0.
-1, 1/2
Solve -2/15*h**2 + 2/15*h**3 - 4/15*h + 0 = 0.
-1, 0, 2
Let j(i) be the first derivative of i**5/10 + i**4/4 - i**3/2 - i**2 + 2*i - 17. Factor j(l).
(l - 1)**2*(l + 2)**2/2
Let s = 101/660 - -3/220. Factor 1/6 + 1/6*v - s*v**2 - 1/6*v**3.
-(v - 1)*(v + 1)**2/6
Let l(b) be the first derivative of 3*b**2/2 - 3*b + 1. Let i be l(5). Determine c, given that -1 + c**2 + 12*c - i*c = 0.
-1, 1
Suppose -4*c - 3 = 1. Let k be (3/(-2 + c))/(-1). Determine l so that -k + 0*l**2 + 2*l**2 - l**2 = 0.
-1, 1
Factor -12/11*k**2 - 8/11*k**3 - 2/11 - 8/11*k - 2/11*k**4.
-2*(k + 1)**4/11
Let o(q) = 18*q**4 - 30*q**3 + 11*q**2 + 11*q + 5. Let b(j) = -9*j**4 + 15*j**3 - 6*j**2 - 6*j - 3. Let s(l) = 5*b(l) + 3*o(l). Factor s(m).
3*m*(m - 1)**2*(3*m + 1)
Factor 1/6*k + 0 - 1/3*k**4 + 1/3*k**2 - 1/6*k**5 + 0*k**3.
-k*(k - 1)*(k + 1)**3/6
Suppose 41*d - 24 = 29*d. Factor 0 + 1/4*b**d - 3/4*b.
b*(b - 3)/4
Let b(i) be the third derivative of -i**5/300 + i**4/30 - 16*i**2. Factor b(q).
-q*(q - 4)/5
Let y(d) be the third derivative of 0*d**3 - d**2 + 0*d + 1/30*d**6 + 1/35*d**7 + 0 - 1/10*d**5 - 1/6*d**4. Solve y(v) = 0.
-1, -2/3, 0, 1
Let x(d) be the third derivative of d**6/1260 + d**5/315 - d**4/36 + 4*d**3/63 + 27*d**2. Factor x(b).
2*(b - 1)**2*(b + 4)/21
Let v be 18/4*20/30. Let c(b) be the first derivative of v + 4*b + 49/3*b**3 + 14*b**2. Solve c(y) = 0.
-2/7
Let i = 89 - 81. Let d = -1 + 3. Factor -16/3 - i*m - 4*m**d - 2/3*m**3.
-2*(m + 2)**3/3
Let s = 8282/5301 + -4/589. Factor -10/9*h**2 + 0 - 2/9*h - s*h**3 - 2/3*h**4.
-2*h*(h + 1)**2*(3*h + 1)/9
Let o(s) be the third derivative of 2*s**5/225 - s**4/60 - s**3/45 + 21*s**2. Factor o(b).
2*(b - 1)*(4*b + 1)/15
Suppose -11 = -4*w + 3*m, -w - 4*m = -0 + 2. Suppose -1/2*o**w + 1/2*o + 0 = 0. Calculate o.
0, 1
Let c = 52 + -1403/27. Let m(b) be the second derivative of -1/18*b**4 + 1/30*b**5 + 0 - 1/135*b**6 + c*b**3 + 0*b**2 + 2*b. Factor m(d).
-2*d*(d - 1)**3/9
Let m = 0 - 0. Suppose -t = -0*w + 3*w - 8, 4*t - 4 = 2*w. Factor -2*r**2 + m*r + 2 - w + 2*r.
-2*r*(r - 1)
Factor 4*d - 4 + 0*d**3 - 3*d**3 + d**4 + d**5 + 4*d - d**2 - 2*d**3.
(d - 1)**3*(d + 2)**2
Let z(w) be the third derivative of w**5/270 + w**4/18 + 8*w**3/27 - 8*w**2 + 2. Determine i, given that z(i) = 0.
-4, -2
Let s(v) = v**2 - v. Let f be s(2). Factor 0 - 1/4*q + 1/2*q**3 + 0*q**4 - 1/4*q**5 + 0*q**f.
-q*(q - 1)**2*(q + 1)**2/4
Let k(m) be the first derivative of m**8/1848 - m**6/330 + m**4/132 + 3*m**2/2 - 5. Let j(g) be the second derivative of k(g). What is q in j(q) = 0?
-1, 0, 1
Factor -22/3*t**2 - 4*t**3 - 2/3*t**4 - 4*t + 0.
-2*t*(t + 1)*(t + 2)*(t + 3)/3
Let q(x) be the third derivative of -2*x**5/15 - x**4/4 + x**3/3 + 10*x**2. Determine o so that q(o) = 0.
-1, 1/4
Let i(m) = -m**4 - 2*m**3 + m**2 + 8*m + 6. Let c(f) = -1 - 5*f + 2*f + f + f. Let n(r) = 6*c(r) + i(r). Find o, given that n(o) = 0.
-2, -1, 0, 1
Find i, given that -2/3*i**3 - 4/3*i**2 + 2*i**4 + 0*i + 0 = 0.
-2/3, 0, 1
Let x = 70849/72 - 984. Let f(m) be the third derivative of 1/9*m**3 + 0 - 7/180*m**5 + 1/60*m**6 + 0*m - x*m**4 - 2*m**2. Factor f(g).
(g - 1)*(2*g + 1)*(3*g - 2)/3
Let m(a) be the third derivative of -a**8/756 - 2*a**7/945 + a**6/135 + 2*a**5/135 - a**4/54 - 2*a**3/27 + 9*a**2. Factor m(h).
-4*(h - 1)**2*(h + 1)**3/9
Let w(j) be the second derivative of 5/2*j**2 - 3*j + 5/12*j**4 + j**3 + 0. Let l(v) = -v**2 - v - 1. Let b(g) = -4*l(g) - w(g). Find a, given that b(a) = 0.
-1
Let i(s) = -11*s**2 + 3*s - 3. Let g be i(2). Let o = g + 125/3. Factor -o*t + 4/9 + 2/9*t**2.
2*(t - 2)*(t - 1)/9
Let b(p) be the second derivative of p**6/45 - p**5/10 + p**4/6 - p**3/9 - 5*p. Factor b(f).
2*f*(f - 1)**3/3
What is r in -4/13*r + 0 - 2/13*r**2 = 0?
-2, 0
Let c(y) = -y**3 + 3*y**2 - 1. Let x be c(2). Suppose -x = -z + 2*u, -u = 5*z - 2*u - 42. Find f such that f**2 - 2*f**2 - f**2 + z*f**3 = 0.
0, 2/9
Let j = -4/13 + 70/143. Factor -2/11*i**4 + 0 + 2/11*i - 2/11*i**3 + j*i**2.
-2*i*(i 