 1 = r - 2. Let u = 6 + r. Solve -4*w - 12*w**5 - 3*w**5 + 46*w**4 - 34*w**3 - 17*w**u + 24*w**2 = 0 for w.
0, 2/5, 2/3, 1
Let 2*r**2 + 5*r + 8 + 4*r - 18*r + r = 0. Calculate r.
2
Let z(u) be the third derivative of u**9/22680 + u**8/5040 - u**6/540 - u**5/180 - u**4/24 + 3*u**2. Let y(w) be the second derivative of z(w). Factor y(j).
2*(j - 1)*(j + 1)**3/3
Let l(d) be the first derivative of 3*d**2/2 + d + 2. Let z be l(1). Factor 2*q**5 + 11*q**3 + q**3 - 8*q**2 - 3*q**4 + 2*q - 5*q**z.
2*q*(q - 1)**4
Let l(v) = v**2 - v + 1. Let c(m) = -3*m**2 - 3. Suppose j - 5 = 5. Let p(d) = j*l(d) + 2*c(d). What is g in p(g) = 0?
1/2, 2
Let n be 0 - (-6)/(-10) - (-162)/120. Suppose -2*h + 2 + 4 = 0. Factor 9/4*x**5 - 5/4*x**h + 0 + n*x**4 + 1/4*x**2 + 0*x.
x**2*(x + 1)*(3*x - 1)**2/4
Suppose -9*c = -0*c. Let l(d) be the second derivative of 1/42*d**4 + 1/7*d**2 - 2*d + c + 2/21*d**3. Factor l(p).
2*(p + 1)**2/7
Let u(m) be the second derivative of -2*m**6/105 + 4*m**5/35 - m**4/7 - 17*m - 2. Factor u(j).
-4*j**2*(j - 3)*(j - 1)/7
Let 0*f + 0 + 2/11*f**3 - 2/11*f**4 + 4/11*f**2 = 0. What is f?
-1, 0, 2
Let o(c) be the first derivative of c**8/2016 + c**7/1260 - c**6/720 - c**5/360 - c**2/2 - 3. Let t(s) be the second derivative of o(s). Factor t(m).
m**2*(m - 1)*(m + 1)**2/6
Let a(u) be the first derivative of 5*u**6/6 + 6*u**5 + 55*u**4/4 + 10*u**3/3 - 30*u**2 - 40*u + 15. Factor a(k).
5*(k - 1)*(k + 1)*(k + 2)**3
Let k = -41 - -45. Let j(l) be the first derivative of 1/3*l**2 + 2/9*l + 2/9*l**3 + 1/18*l**k + 1. Factor j(r).
2*(r + 1)**3/9
Let n be ((72/(-15))/(-6))/6. Let w(r) be the second derivative of 0 + 0*r**2 - n*r**6 - r - 1/48*r**4 + 0*r**3 - 1/10*r**5. Factor w(a).
-a**2*(4*a + 1)**2/4
Let o be (-16)/(-3) - (-32)/(-24). Let n(y) be the first derivative of 1/5*y**5 - 1/2*y**2 + 0*y - 3/4*y**o + y**3 - 3. Factor n(p).
p*(p - 1)**3
Let y(g) be the second derivative of g**6/105 - g**5/10 + 17*g**4/42 - 17*g**3/21 + 6*g**2/7 + 35*g. Factor y(t).
2*(t - 3)*(t - 2)*(t - 1)**2/7
Let o(f) = -f**2 - 2*f - 4. Let b(h) = -h. Let d be b(-3). Let p(x) = -2*x**2 - 4*x - 7. Let i(s) = d*p(s) - 5*o(s). Suppose i(w) = 0. Calculate w.
-1
Factor -14/5*k - 49/5 - 1/5*k**2.
-(k + 7)**2/5
Let v = 0 + 2. Suppose -d - v*d = -9. Factor d*m**2 - 4 + 2 - 1.
3*(m - 1)*(m + 1)
Let v(g) = 3*g**2 + g + 2. Let u(p) = -3*p**2 - p - 3. Let c(i) = 4*u(i) + 5*v(i). Factor c(k).
(k + 1)*(3*k - 2)
Let j be (-5)/4 + 19 + -17. Let 0 - 3/4*s + j*s**2 = 0. What is s?
0, 1
Let r(b) be the third derivative of b**7/7560 - b**6/720 + b**5/180 + b**4/12 - 3*b**2. Let g(m) be the second derivative of r(m). Find y such that g(y) = 0.
1, 2
Let h(j) be the second derivative of j**7/5040 - j**6/480 + j**5/120 + j**4/12 - j. Let d(s) be the third derivative of h(s). Suppose d(u) = 0. Calculate u.
1, 2
Let x(h) = -h**3 + h**2 - 2*h + 1. Let w be x(1). Let t be 1*(w - -2 - -2). Factor -y**5 + 2*y + 0*y**4 - 5*y**2 + 4*y**2 + 3*y**t + 6*y**2 - y**4.
-y*(y - 2)*(y + 1)**3
Let k be 14/21*(-3)/(-2). Let a(b) = -3*b**2 - 8*b + 5. Let z(h) = -h + 1. Let u(o) = k*a(o) - 5*z(o). Factor u(d).
-3*d*(d + 1)
Let m(l) = -5*l**3 - 28*l**2 + 14*l + 15. Let q be m(-6). Factor -2/3*o**q - 4/3*o**2 + 0 + 0*o.
-2*o**2*(o + 2)/3
Let b be (1/10)/(((-161)/(-56))/23). Factor 1/5 - b*i**3 + 9/5*i**2 - 6/5*i.
-(i - 1)**2*(4*i - 1)/5
Suppose f + 3*f - 5*o = 0, -4*f = -4*o. What is n in 8*n**4 + 3*n**3 - 4*n - 3*n**5 - 18*n**2 + f*n**5 + 8 + 2*n**3 = 0?
-1, 2/3, 2
Let x(t) be the first derivative of t**4/22 + 6*t**3/11 + 15*t**2/11 - 50*t/11 - 23. Factor x(w).
2*(w - 1)*(w + 5)**2/11
Find z such that -2/5*z**4 + 0 + 2/5*z**2 - 1/5*z**5 + 1/5*z + 0*z**3 = 0.
-1, 0, 1
Let m(i) = -i**2 - 3*i + 6. Let p be m(1). Factor 0*w + 4/3*w**p + 2/3*w**3 + 0.
2*w**2*(w + 2)/3
What is u in 0*u + 17*u**2 - 5*u + 45*u**2 - 240*u**3 - 320*u**4 + 13*u**2 = 0?
-1, 0, 1/8
Let t(v) be the third derivative of -v**5/60 + v**4/6 - v**3/2 + 6*v**2. Factor t(y).
-(y - 3)*(y - 1)
Suppose 48*w = 45*w + 6. Factor k**w + 1/2 - 3/2*k.
(k - 1)*(2*k - 1)/2
Let -199/5*b**2 - 12/5 - 92/5*b - 14*b**3 + 49/5*b**4 = 0. Calculate b.
-1, -2/7, 3
Let g(l) be the first derivative of l**3/3 + l**2 - 4*l + 3. Let o be g(-4). Factor 0*h**5 + 5*h**4 + 3*h**5 - 8*h**o.
3*h**4*(h - 1)
Suppose 0 = a - x - 9, 0*a - 5*x - 15 = a. Factor s + s**2 - 4*s + a*s.
s*(s + 2)
Let m = 89 + -89. Factor -2/5*o**2 - 4/5*o + m.
-2*o*(o + 2)/5
Let y(f) be the second derivative of f**4/3 - 8*f**3/3 + 6*f**2 + 6*f. Factor y(v).
4*(v - 3)*(v - 1)
Let t be 2/2 + 26/(-286). What is u in -6/11 - 2/11*u**3 - 2/11*u**2 + t*u = 0?
-3, 1
Let v(p) be the second derivative of -2*p**6/15 + 2*p**5/5 - p**4/3 - 4*p. Find d, given that v(d) = 0.
0, 1
Let n(z) = 8*z**2 - 8*z - 4. Let w(h) = -7*h**2 + 7*h + 3. Let r(q) = -3*n(q) - 4*w(q). Factor r(v).
4*v*(v - 1)
Let x(y) be the second derivative of -y**4 - 22*y**3/3 + 8*y**2 + 9*y. Factor x(c).
-4*(c + 4)*(3*c - 1)
Let i(r) be the second derivative of r**7/1260 + r**6/180 + r**5/60 - r**4/6 + r. Let s(a) be the third derivative of i(a). Let s(d) = 0. Calculate d.
-1
Factor 0 + 4/7*h**3 - 4/7*h + 4/7*h**4 - 4/7*h**2.
4*h*(h - 1)*(h + 1)**2/7
Let q be ((-4)/(-10))/((-12)/(-10)). Factor 1/3*k**3 + q*k**4 - 1/3*k**2 - 1/3*k + 0.
k*(k - 1)*(k + 1)**2/3
Let n(j) be the third derivative of j**5/15 - j**4/3 - 2*j**3 - 7*j**2. Factor n(r).
4*(r - 3)*(r + 1)
Let z be (8/(-3))/((-10)/15). Let -1 - 4*a + a**2 + z*a - 1 - a = 0. Calculate a.
-1, 2
Let s = 2/45 + 7/45. Let f(w) be the second derivative of s*w**5 + 0 + 0*w**2 + 0*w**3 - 1/5*w**6 - 5/21*w**7 + 0*w**4 + 2*w. Factor f(m).
-2*m**3*(m + 1)*(5*m - 2)
Find r, given that -r**2 + 32*r - 67*r - 2*r**2 + 32*r + 6 = 0.
-2, 1
Let u be (1 - 3)/(6/(-1*12)). Let x(h) be the first derivative of -5/4*h**u + 8*h - 2 + 2*h**2 - 1/5*h**5 - 2*h**3. Solve x(p) = 0 for p.
-2, 1
Let c = -3 - -5. Factor 2*x**c - 5*x**3 + 2*x**3 + 2*x**3 - x + 0*x**2.
-x*(x - 1)**2
Factor 5*p**2 - 4*p - 2*p - 2*p**2 - 6*p**2.
-3*p*(p + 2)
Let o(k) be the second derivative of -k**6/1980 - k**5/330 - k**4/132 - k**3/6 + k. Let y(p) be the second derivative of o(p). Factor y(d).
-2*(d + 1)**2/11
Let j be 22/4 + -2 + -3. Factor -3/2*x**3 + 0 + 3/2*x**4 + 1/2*x**2 + 0*x - j*x**5.
-x**2*(x - 1)**3/2
Let l(b) be the third derivative of -b**5/600 - b**4/80 - 13*b**2. Suppose l(x) = 0. Calculate x.
-3, 0
Let q(p) = -p**2 - 6*p + 3. Suppose 0 = 3*y - 2 - 1, 2*y = -3*d - 16. Let l be q(d). Determine f so that -10/7*f + 8/7*f**2 + 4/7 - 2/7*f**l = 0.
1, 2
Let c(q) be the first derivative of -1/12*q**4 + 0*q + 2 + 2/9*q**3 + 0*q**2. Find m, given that c(m) = 0.
0, 2
Suppose -2 = -5*i + 4*i. Find n, given that -10*n**4 + 29*n**3 - 20*n**i - 2*n**5 - 11*n - 49*n**3 - 2 + n = 0.
-1
Let u be (-84)/(-180) - (-1)/5. Let s(k) be the first derivative of 3 + u*k + 0*k**3 + 1/2*k**2 - 1/12*k**4. Let s(h) = 0. Calculate h.
-1, 2
Let j be (-2)/4*(0 - -8). Let w be 2/j + 1 - 0. Factor 1/2*y**2 + 0 - w*y.
y*(y - 1)/2
Let q be (1 - -2)*20/100. Suppose -3/5*m**2 + 6/5*m - q = 0. What is m?
1
Let c be (-30)/4*16/(-20). Factor x**2 - c + 0 + 2.
(x - 2)*(x + 2)
Let a be 54/(-36)*((-14)/6 + 1). Solve -2/5*n**3 - 1/5 + 2/5*n + 0*n**a + 1/5*n**4 = 0.
-1, 1
Let r = -9 + 13. Suppose 1 - 1 - 5*b**3 - b + r*b**3 - 2*b**2 = 0. Calculate b.
-1, 0
Let u(b) be the second derivative of b**4/12 + b**3/6 + b**2/2 - b. Let p(q) = -6*q**2 - 14*q - 4. Let o(f) = p(f) + 8*u(f). Let o(k) = 0. Calculate k.
1, 2
Solve -3*w**3 + 6*w**2 + 4 + w**3 - 2*w**4 - 31*w - 40*w + 81*w = 0 for w.
-1, 2
Let d(u) = 4*u**2 + u - 3. Let v(c) = 15*c**2 + 3*c - 11. Let k(z) = 22*d(z) - 6*v(z). Factor k(y).
-2*y*(y - 2)
Solve -6*o + 8*o - 6*o - 2*o**3 + 6*o**2 = 0 for o.
0, 1, 2
Let g(m) be the second derivative of -1/3*m**4 - 1/10*m**5 + 0 + 4*m + 2*m**2 + 1/3*m**3. Suppose g(l) = 0. What is l?
-2, -1, 1
Let l(n) be the second derivative of -n**5/180 + n**4/36 - n**3/18 + n**2/18 + n. Factor l(c).
-(c - 1)**3/9
Suppose 5*z - 1 = 14. Suppose 35*k**3 - 13*k**3 - z*k**2 + 14*k**5 - 32*k**4 + 0*k**2 - k**2 = 0. What is k?
0, 2/7, 1
Let b(i) be the third derivative of i**11/831600 - i**10/378000 - i**9/75600 + i**5/20 - i**2. Let r(t) be the third derivative of b(t). Factor r(s).
2*s**3*(s - 2)*(s + 1)/5
Let b(k) b