u**5 + 0*u**4 + 0*u**3 + 2*u**2 + 0*u + 0. Find i such that s(i) = 0.
0
Suppose 5*w + 3 = 13. Let h(b) be the first derivative of 1/3*b**2 - w - 1/3*b**4 - 2/3*b - 2/15*b**5 + 4/9*b**3 + 1/9*b**6. Factor h(g).
2*(g - 1)**3*(g + 1)**2/3
Let o(p) be the third derivative of -p**8/294 - 4*p**7/245 - 13*p**6/420 - p**5/35 - p**4/84 + 7*p**2. Let o(z) = 0. Calculate z.
-1, -1/2, 0
Suppose 4*l - 14 = -2. Factor 2/3*r**2 + 0 - 2/3*r + 4/3*r**l.
2*r*(r + 1)*(2*r - 1)/3
Let b(t) be the second derivative of t**6/120 + t**5/15 + t**4/6 - t**2/2 - 5*t. Let y(g) be the first derivative of b(g). Factor y(o).
o*(o + 2)**2
Let o = 97 + -97. Factor 1/4*f**5 + 1/4*f - 1/2*f**3 + 0 + o*f**4 + 0*f**2.
f*(f - 1)**2*(f + 1)**2/4
Let n be 186/310*(6/4 + 1). Find r, given that 1/2 - 3/2*r + n*r**2 - 1/2*r**3 = 0.
1
Let y(w) = w**2 + 36*w + 107. Let j be y(-3). Suppose -73/3*o**3 - 7*o**4 + j*o + 17/3*o**2 + 49/3*o**5 + 4/3 = 0. Calculate o.
-1, -2/7, 1
Let p = -53 + 53. Suppose -4/3*j + p + 6*j**2 = 0. What is j?
0, 2/9
Let c(d) be the third derivative of -d**6/240 + d**5/40 - d**4/16 + d**3/12 + 6*d**2. Factor c(f).
-(f - 1)**3/2
Let m(p) be the third derivative of -p**8/112 + 2*p**7/35 - p**6/8 + p**5/10 - 3*p**2. Let m(q) = 0. Calculate q.
0, 1, 2
Let b(o) = o**3 + 8*o**2 + o - 2. Let y be b(-8). Let i be (-6)/y*(1 + 4). Factor -2/9 - 2/9*p**i + 2/9*p + 2/9*p**2.
-2*(p - 1)**2*(p + 1)/9
Factor -1/6*u + 0 + 1/3*u**2 - 1/6*u**3.
-u*(u - 1)**2/6
Let p be 4 + (-1 - -3 - 3). Factor 1/2*v**5 - 1/2*v**2 - 3/2*v**4 + 3/2*v**p + 0*v + 0.
v**2*(v - 1)**3/2
Suppose -4*y - 7 + 27 = -3*m, y = 3*m + 5. Let x be -1 + 2/(4/6). Factor x*o**2 - 4*o + 3 - 1 + m.
2*(o - 1)**2
Let h(p) be the second derivative of -p**4/12 + p**3/6 + p**2 + 6*p. Factor h(q).
-(q - 2)*(q + 1)
Let g(q) = -q**2 - q + 2. Let t be g(-2). Suppose 5*x - 2*c + 6 = t, c - 1 = -x + 2. Factor 2/7*v**5 + 6/7*v**4 + 6/7*v**3 + x + 2/7*v**2 + 0*v.
2*v**2*(v + 1)**3/7
Factor 6*p + 10/9*p**3 + 4*p**2 + 3 + 1/9*p**4.
(p + 1)*(p + 3)**3/9
Find c such that 256/5 + 32/5*c + 1/5*c**2 = 0.
-16
Let x(f) = -f**2 + 5*f. Let w(c) = -2*c**2 + 9*c. Suppose -3*l = 2*l - 35. Let r(j) = l*x(j) - 4*w(j). Find g, given that r(g) = 0.
0, 1
Let o(q) be the second derivative of 4*q**5/5 + 6*q**4 + 11*q**3/2 + 2*q**2 - 17*q. Factor o(w).
(w + 4)*(4*w + 1)**2
What is t in 140*t - 299*t**4 + 20 + 233*t**2 - 13*t**2 - 140*t**3 + 5*t**2 + 54*t**4 = 0?
-1, -2/7, 1
Let o(w) be the third derivative of w**8/6720 - w**7/1260 + w**6/720 - w**4/8 + 2*w**2. Let l(k) be the second derivative of o(k). Find r such that l(r) = 0.
0, 1
Let h be 11/(11/6) + -4. Let r(j) be the second derivative of 4*j + 1/24*j**4 - 1/6*j**3 + 0 + 1/4*j**h. Determine p so that r(p) = 0.
1
Let x(r) = -r**3 + 5*r**2 - 5*r + 3. Let p be x(4). Let t be (-1)/p + 10/(-14). Suppose 0*m + 4/7*m**2 - t*m**4 + 0*m**3 - 2/7 = 0. Calculate m.
-1, 1
Let b(l) be the third derivative of l**8/10080 - l**7/840 + l**6/180 - l**5/20 - 2*l**2. Let p(o) be the third derivative of b(o). Let p(n) = 0. What is n?
1, 2
Let x(i) be the first derivative of -6*i - i**3 + 2 - 9/2*i**2. Factor x(d).
-3*(d + 1)*(d + 2)
Suppose 5*h - 19 + 9 = 0. Let v(l) be the first derivative of 3/2*l**4 + 0*l - 1 + l**h + 8/3*l**3. Factor v(j).
2*j*(j + 1)*(3*j + 1)
Let r(p) be the second derivative of p**5/60 - p**3/6 - p**2/3 + 9*p. Solve r(a) = 0.
-1, 2
Let g(r) be the second derivative of -r**4/8 - r**3/2 - 4*r. Find c such that g(c) = 0.
-2, 0
Let n = -707 + 2855/4. Determine h so that 3/2*h**4 + n*h**3 + 0 - 9/4*h**5 - 9*h**2 + 3*h = 0.
-2, 0, 2/3, 1
Let z(r) be the second derivative of r**5/80 - r**3/8 - r**2/4 + 30*r. Factor z(f).
(f - 2)*(f + 1)**2/4
Let o be (-1)/3*(-18)/3. Factor 0*h**5 - 2*h**3 + 2*h**5 - 2*h**o - 2*h**4 + 4*h**4.
2*h**2*(h - 1)*(h + 1)**2
Let c(v) be the third derivative of v**8/1848 - v**7/1155 - v**6/330 + 17*v**2. Factor c(f).
2*f**3*(f - 2)*(f + 1)/11
Let j be 21/(-30)*4 - -3. Let d = 38 - 36. Suppose 0 + j*y**3 - 2/5*y**d + 1/5*y = 0. What is y?
0, 1
Suppose 2 = 4*a - 14. Suppose 4*k + 4*k - a*k + 0*k**2 + 2*k**2 = 0. Calculate k.
-2, 0
Let y(n) be the first derivative of -n**3 - 35*n**2/2 - 22*n + 39. Factor y(c).
-(c + 11)*(3*c + 2)
Suppose 0 = -0*b + 11*b - 22. What is n in -6/5*n**3 + 6/5*n - 3/5*n**4 + 3/5 + 0*n**b = 0?
-1, 1
Let h(n) = 2*n + 2. Let p be h(4). Let j be p/55 + 7/22. Factor q - j*q**2 + 0.
-q*(q - 2)/2
Let s(a) be the second derivative of a**4/30 - a**2/5 - 8*a. Let s(t) = 0. Calculate t.
-1, 1
Suppose -2 = -21*t + 20*t. Let k be 2*((-51)/27 + 2). Find u, given that 4/9 - 2/9*u - k*u**t = 0.
-2, 1
Let x(a) be the third derivative of -5*a**8/672 + a**7/42 + a**6/10 + 2*a**5/15 - 5*a**4/24 - 3*a**2. Let u(i) be the second derivative of x(i). Factor u(p).
-2*(p - 2)*(5*p + 2)**2
Factor -11*t**2 + 3*t**3 - 6*t**2 + 14*t**2.
3*t**2*(t - 1)
Let t be (-3)/6*-1*10. Suppose -t*q = -b - 17, 2*q - 3*b - 5 = -2*b. Factor q + 6*d + d**2 + d - 3*d.
(d + 2)**2
Let d(c) = -2*c**2 - 16*c + 2. Let f be d(-8). Solve 0 + 0*p**f + 2/5*p**3 + 0*p = 0.
0
Let q = -208 + 632/3. Factor -q - 2/3*u**2 + 8/3*u.
-2*(u - 2)**2/3
Factor -75/2*i**2 - 15/2 - 145/4*i - 35/4*i**3.
-5*(i + 1)*(i + 3)*(7*i + 2)/4
Factor 28/5*j**2 + 4/5*j + 0.
4*j*(7*j + 1)/5
Let j(d) be the first derivative of -d**4/16 + 5. Factor j(y).
-y**3/4
Suppose 7 + 1 = 4*j. Suppose -22*n + 20 = -17*n. Suppose 4*w**2 + 2*w**n - 4*w**2 - j*w**3 + 0*w**2 - 2*w**2 + 2*w = 0. Calculate w.
-1, 0, 1
Let m = -166 + 166. Factor -1/2*l**3 + m*l + 0 + 0*l**2 + l**4 - 1/2*l**5.
-l**3*(l - 1)**2/2
Let u be (-3)/126*-68 - (-44)/(-33). Let 0 + u*v - 2/7*v**2 = 0. What is v?
0, 1
Factor 513*q**4 + 3 - 2*q**2 - 3 + 8*q**3 - 519*q**4.
-2*q**2*(q - 1)*(3*q - 1)
Let h(d) be the second derivative of d**7/3780 - d**6/1080 - d**5/90 + d**4/12 - 4*d. Let v(j) be the third derivative of h(j). Factor v(y).
2*(y - 2)*(y + 1)/3
Let v(x) = 4*x**4 - x**3 + 3*x**2 + 3*x. Let r(z) = -5*z**4 + 2*z**3 - 4*z**2 - 4*z. Let d = 5 - 1. Let g(l) = d*v(l) + 3*r(l). Factor g(j).
j**3*(j + 2)
Let s(n) = n. Let m(t) = t**3 - t**2 + 11*t. Let j(z) = 4*m(z) - 44*s(z). Factor j(b).
4*b**2*(b - 1)
Let h = -9 + 6. Let x be ((-45)/(-30))/(h/(-4)). Suppose -q - q**x - 1/4 = 0. Calculate q.
-1/2
Let u = 1556593 + -1078719139/693. Let d = -4/77 - u. Factor 0*l**2 - 4/9*l + d*l**4 - 2/9 + 4/9*l**3.
2*(l - 1)*(l + 1)**3/9
Let c(d) = d**3 + 9*d**2 + 5*d + 7. Let b(t) = -t**2 - 1. Let w(g) = -5*b(g) - c(g). Factor w(u).
-(u + 1)**2*(u + 2)
Let f(y) = 5*y**4 + 40*y**3 + 56*y**2 - 53*y - 61. Let s(j) = j**4 + 10*j**3 + 14*j**2 - 13*j - 15. Let v(t) = 6*f(t) - 26*s(t). Factor v(u).
4*(u - 6)*(u - 1)*(u + 1)**2
Let h(x) be the second derivative of x**6/180 + x**5/45 - x**2/2 - 2*x. Let a(u) be the first derivative of h(u). Factor a(l).
2*l**2*(l + 2)/3
Let g(r) = 3*r - 5. Let m be g(3). Let q be 84/99 - m/22. Factor 0 - q*s**2 + 2/3*s.
-2*s*(s - 1)/3
Let b(i) be the first derivative of i**5/10 + i**4/3 + i**3/3 - i**2 - 1. Let n(z) be the second derivative of b(z). Factor n(a).
2*(a + 1)*(3*a + 1)
Let o(r) be the third derivative of r**7/420 - r**5/40 - r**4/24 - 3*r**2. Factor o(n).
n*(n - 2)*(n + 1)**2/2
Let g be (1 - (3 - 1))*-3. Find z, given that 1 + 2 - 3 + g*z - 3*z**3 = 0.
-1, 0, 1
Factor -8 + 2*n**2 + 7*n**2 - 16*n - 7*n**2 + 4*n**3.
2*(n - 2)*(n + 2)*(2*n + 1)
Suppose -2*r + 0*r = -6. Let t be 1/(3/12*2). Factor 3*i**5 + t*i**2 - 2*i**r + i**3 + 22*i**4 - 13*i**5 - 13*i**3.
-2*i**2*(i - 1)**2*(5*i - 1)
Let f(p) = -3*p**3 + 11*p**2. Suppose -2*s + 0*s = -14. Let u(r) = -3 - 5*r**2 + r**3 + 3. Let k(j) = s*u(j) + 3*f(j). Factor k(d).
-2*d**2*(d + 1)
Let q = -3 + 13. Factor -10*i**2 - 2*i**3 + q*i**2.
-2*i**3
Suppose 0 = -t + 6*t - s - 13, -5*t = 2*s - 19. Suppose -1 = -t*z + 8. Factor 3/5*l**z + 4/5 + 0*l - 7/5*l**2.
(l - 2)*(l - 1)*(3*l + 2)/5
Let m be 1 - (1 - 0)/1. Suppose 4*g = -m*g + 12. Factor -v - 2*v**2 - 4*v**3 + 3*v + 2*v**g + 0*v + 2.
-2*(v - 1)*(v + 1)**2
Let f(v) = v + 1. Let d be f(4). Let g = -4 + 6. Factor 4*n**2 - d*n**2 + 3*n**g.
2*n**2
Suppose -11*t + 8 + 36 = 0. Let r(w) be the second derivative of -1/10*w**5 + 0*w**3 + 2/15*w**6 + 0 + 0*w**2 - w + 0*w**t - 1/21*w**7. Solve r(i) = 0 for i.
0, 1
Let j(b) be the third derivative of -4/35*b**7 - 1/8*b**4 + b