= 10*d(s) - 4*t(s). Factor k(r).
2*(r + 11)**2
Let b(l) be the second derivative of -l**7/6300 + l**6/1800 + l**4/6 - 2*l. Let z(m) be the third derivative of b(m). Suppose z(r) = 0. Calculate r.
0, 1
Let m(v) = -v**4 + v - 1. Let o(b) = -16*b**5 + 2*b**4 + 32*b**3 - 8*b**2 - 14*b + 2. Let n(c) = 2*m(c) - o(c). What is h in n(h) = 0?
-1, 1/4, 1
Let q(d) be the third derivative of d**10/90720 + d**4/6 + 2*d**2. Let g(i) be the second derivative of q(i). Factor g(u).
u**5/3
Let l(p) be the third derivative of 0 - 1/180*p**5 + 3*p**2 + 0*p**4 - 1/360*p**6 + 0*p**3 + 0*p. Factor l(d).
-d**2*(d + 1)/3
Let q be 2*((-6)/(-4))/1. Suppose 22*d**q - 2*d**4 - 22*d**3 + 2*d**2 = 0. Calculate d.
-1, 0, 1
Let q = 3554/9 + -396. Let k = 2 + q. Factor 2/3*a**2 - 2/9*a**4 - 8/9 + 4/9*a**3 - k*a.
-2*(a - 2)**2*(a + 1)**2/9
Let d(h) = -19*h + 19. Let q be d(1). Suppose 3/4*j**2 + q + 3/4*j = 0. Calculate j.
-1, 0
Let a(g) = g**2 + g - 1. Let d(y) = -6*y**2 - 5*y + 7. Let c(m) = 21*a(m) + 3*d(m). Factor c(w).
3*w*(w + 2)
Suppose 24*g**3 - 4*g**5 + 73*g**4 - 73*g**4 + 12*g + 32*g**2 = 0. What is g?
-1, 0, 3
Let x(n) be the third derivative of -n**6/120 + n**5/20 - n**4/8 + n**3/3 - 2*n**2. Let d(a) be the first derivative of x(a). Let d(y) = 0. Calculate y.
1
Find q, given that 0*q**2 + 0 + 0*q + 0*q**4 + 1/5*q**5 - 1/5*q**3 = 0.
-1, 0, 1
Let k be (-68)/(-11) + 2 + -35 + 29. Find i, given that -4/11*i - 2*i**2 + k*i**5 + 0 - 20/11*i**3 + 2*i**4 = 0.
-1, -2/3, -1/4, 0, 1
Let o(j) be the first derivative of -1/2*j**2 + 1 - 1/180*j**5 + 0*j**3 + 1/36*j**4 + 0*j - 1/120*j**6. Let q(a) be the second derivative of o(a). Factor q(w).
-w*(w + 1)*(3*w - 2)/3
Let g(m) be the third derivative of -m**8/1344 + m**7/105 - 7*m**6/160 + 3*m**5/40 + 9*m**2. Solve g(l) = 0.
0, 2, 3
Let h(n) be the third derivative of 0*n**4 + 1/150*n**6 + 0 + 0*n + 1/1680*n**8 + 0*n**5 + 4*n**2 - 2/525*n**7 + 0*n**3. Factor h(m).
m**3*(m - 2)**2/5
Let p(g) be the second derivative of 2*g + 1/80*g**5 + 1/16*g**4 + 0 - 1/2*g**2 + 0*g**3. Suppose p(s) = 0. What is s?
-2, 1
Let h(u) = 4*u**4 - u**3 + 8*u**2 + 6*u - 2. Let q(r) = -3*r**4 + 0 + 2 - 7*r**2 + 5*r**3 - 4*r**3 - 5*r. Let z(i) = 4*h(i) + 5*q(i). Factor z(y).
(y - 1)**2*(y + 1)*(y + 2)
Let n be (14 + 0 + -5)*(-4)/(-18). Let y(i) be the first derivative of 1/4*i**n - 3 + 1/8*i**4 + 1/3*i**3 + 0*i. Factor y(r).
r*(r + 1)**2/2
Let n(k) be the second derivative of -3*k + 0 + 0*k**3 + 1/60*k**5 + 1/36*k**4 - 1/126*k**7 + 0*k**2 - 1/90*k**6. Find t such that n(t) = 0.
-1, 0, 1
Let d(r) be the first derivative of -4*r**2 + 6*r - 4 + 2/3*r**3. Factor d(x).
2*(x - 3)*(x - 1)
Suppose 9*j - 12*j = 0. Factor j + 2/3*c**4 - 4/3*c**2 + 2/3*c**3 + 0*c.
2*c**2*(c - 1)*(c + 2)/3
Let -9/7*y**3 + 0 + 12/7*y + 12/7*y**2 + 3/7*y**5 - 6/7*y**4 = 0. What is y?
-1, 0, 2
Let m(h) be the second derivative of h**5/70 + h**4/21 + h**3/21 + 3*h. Factor m(k).
2*k*(k + 1)**2/7
Let a(h) = 4*h**3 + 4*h**2 + 2*h - 2. Let u(p) = -1 + 7*p**2 + 5*p - 4*p**2 - 4*p - 2 + 5*p**3. Let k(s) = -3*a(s) + 2*u(s). Solve k(g) = 0.
-2, -1, 0
Let l(o) = 7*o**3 - 11*o**2 - o. Let p be (-1)/(56/(-20) - -3). Let h(s) = 3*s**3 - 5*s**2. Let j(b) = p*h(b) + 2*l(b). Determine c, given that j(c) = 0.
0, 1, 2
Let z(h) be the third derivative of -1/240*h**6 + 0*h + 0 - 2*h**2 + 1/6*h**3 - 1/60*h**5 + 1/48*h**4. Factor z(q).
-(q - 1)*(q + 1)*(q + 2)/2
Let h(u) = -u**3 - u**2 + u. Let l(b) = -4*b**3 - 5*b**2 + 3*b. Let z(w) = -3*h(w) + l(w). Factor z(k).
-k**2*(k + 2)
Let b(t) be the third derivative of t**8/10080 - t**7/2520 - t**5/20 - 2*t**2. Let q(u) be the third derivative of b(u). Factor q(i).
2*i*(i - 1)
Let v = 9 - 13. Let g = v + 4. Factor -2/5*l**2 + g - 2/5*l.
-2*l*(l + 1)/5
Let z be 6/((33/(-5))/(36/(-90))). Factor 2/11 + z*v + 2/11*v**2.
2*(v + 1)**2/11
Let b(z) = -2*z**3 + z**2 + z. Let w(c) = -2*c**3 + 2*c. Let v(h) = 2*b(h) - 3*w(h). Determine n, given that v(n) = 0.
-2, 0, 1
Let u(s) be the second derivative of -s**6/3 + s**5/4 + 25*s**4/12 + 5*s**3/3 - 18*s. Factor u(p).
-5*p*(p - 2)*(p + 1)*(2*p + 1)
Let w(n) be the first derivative of 2*n**6/3 + 2*n**5/3 + n**4/6 - 7. Factor w(g).
2*g**3*(2*g + 1)*(3*g + 1)/3
Let n(s) be the second derivative of -1/36*s**4 - 1/3*s**2 - 7*s + 0 - 1/6*s**3. Factor n(h).
-(h + 1)*(h + 2)/3
Let n(j) be the third derivative of -7*j**5/12 + 5*j**4/12 - 8*j**2. Factor n(l).
-5*l*(7*l - 2)
Factor 0 - 5 + 0 + 5*a**2.
5*(a - 1)*(a + 1)
Let s(l) be the third derivative of 8*l**7/525 - 17*l**6/150 + 8*l**5/25 - 13*l**4/30 + 4*l**3/15 + l**2 - 10. What is m in s(m) = 0?
1/4, 1, 2
Let i(h) be the first derivative of h**4/10 - 2*h**3/5 + 2*h**2/5 - 14. Factor i(k).
2*k*(k - 2)*(k - 1)/5
What is i in 11/9*i**2 + 4/9 - 1/3*i**4 - 4/3*i - 1/9*i**3 + 1/9*i**5 = 0?
-2, 1, 2
Determine v, given that -v**2 + 2*v**2 - 3*v + 2*v**2 = 0.
0, 1
Let i = 21 + -6. Let p be 0 - i/(-9) - 1. Factor 2/3 + 0*y - p*y**2.
-2*(y - 1)*(y + 1)/3
Let y be -1 + 5 + 0/7. Let c(t) be the first derivative of -1/18*t**y + 2/27*t**3 + 0*t - 2/45*t**5 + 1/9*t**2 + 4. Factor c(i).
-2*i*(i - 1)*(i + 1)**2/9
Suppose 4*q = 5*h - 0*q - 11, 5*h - 12 = 3*q. Let f be h + -2 + (-2)/3. Let f*c**2 + 0*c - 1/3 = 0. What is c?
-1, 1
What is x in 8*x**4 + 44*x**3 - 16*x - 32*x**2 + 4*x**5 - 27*x**3 - 29*x**3 = 0?
-2, -1, 0, 2
Suppose 0 = -s - 2*l, 0*s - 5*l - 3 = s. Find t, given that 0 + 2/5*t - 2/5*t**s = 0.
0, 1
Let a(q) be the third derivative of -q**9/151200 + q**7/12600 - 2*q**5/15 - 4*q**2. Let x(i) be the third derivative of a(i). Factor x(h).
-2*h*(h - 1)*(h + 1)/5
Let v be (6/10 - (0 + 1))*-1. Let -2/5*r**2 + 2/5*r**4 + 0 + 0*r + 2/5*r**5 - v*r**3 = 0. Calculate r.
-1, 0, 1
Let h be ((-12)/(-8))/((-3)/(-8)). Factor -4*d**2 - 3*d**4 - d**h + 4*d**2.
-4*d**4
Let s = -3 + 5. Let c be s/(((-4)/(-6))/1). Factor 0*q + 0 + 2/3*q**2 - 1/3*q**c - q**4.
-q**2*(q + 1)*(3*q - 2)/3
Factor 2/9*g**2 + 0 - 2/9*g.
2*g*(g - 1)/9
Let j(c) be the second derivative of 5*c**10/18144 - c**9/9072 - c**8/1260 - c**7/1890 + c**4/12 - 7*c. Let u(p) be the third derivative of j(p). Factor u(i).
i**2*(i - 1)*(5*i + 2)**2/3
Factor 0*p + 0*p**3 - 4/7*p**4 + 4/7*p**2 + 0.
-4*p**2*(p - 1)*(p + 1)/7
Suppose -g = g + 22. Let s = 13 + g. Factor 2/3 + 0*v**s + v - 1/3*v**3.
-(v - 2)*(v + 1)**2/3
Let c(i) = -i**2 - i. Let z(y) = -5*y**2 + y. Let o(a) = 2*c(a) - z(a). Find v such that o(v) = 0.
0, 1
Let g(x) be the third derivative of 5*x**8/336 - x**7/14 + x**6/8 - x**5/12 - 8*x**2. Factor g(s).
5*s**2*(s - 1)**3
Let p(r) = -4*r**3 + 2*r**2 + 6*r. Suppose 3*b + 3 = -3*s, b - 3*s - 2*s = 17. Let m(x) = x**3 - x. Let z(l) = b*m(l) + p(l). Factor z(d).
-2*d*(d - 2)*(d + 1)
Let f(m) = -m + 6. Let u be f(11). Let z(k) = k**3 + 4*k**2 - 6*k - 3. Let x be z(u). Factor 0 + 2/11*y - 2/11*y**x.
-2*y*(y - 1)/11
Let w(q) be the second derivative of q**9/1260 - q**7/280 - q**6/240 + 5*q**4/12 - q. Let x(h) be the third derivative of w(h). Let x(u) = 0. Calculate u.
-1/2, 0, 1
Let n(h) be the first derivative of h**7/840 - h**6/96 + 3*h**5/80 - 7*h**4/96 + h**3/12 - 2*h**2 + 7. Let l(c) be the second derivative of n(c). Factor l(o).
(o - 2)*(o - 1)**3/4
Let x(d) be the first derivative of d**7/105 + d**6/60 - d**5/30 - d**4/12 + 3*d**2/2 + 3. Let o(h) be the second derivative of x(h). Factor o(i).
2*i*(i - 1)*(i + 1)**2
Let p(d) be the second derivative of -5*d**7/7 - 33*d**6/20 + 15*d**5/8 + 3*d**4 + d**3 - 11*d. What is f in p(f) = 0?
-2, -2/5, -1/4, 0, 1
Let n(f) be the second derivative of f**6/480 - f**5/120 - 2*f**2 - 7*f. Let i(q) be the first derivative of n(q). Let i(z) = 0. Calculate z.
0, 2
Let m(p) = -5*p**3 - 7*p**2 + 21*p - 15. Let s(n) = 4*n**3 + 7*n**2 - 20*n + 14. Let a(t) = -5*m(t) - 6*s(t). Solve a(z) = 0.
1, 3
Factor 0 + 0*v**2 - 1/2*v**5 - v**4 + 0*v**3 + 0*v.
-v**4*(v + 2)/2
Let 2/5*y**2 + 4/5*y**3 - 12/5*y - 1/5*y**4 - 9/5 = 0. Calculate y.
-1, 3
Let m(p) be the first derivative of -3*p**2 + 4*p - 10/3*p**3 + 3. Factor m(c).
-2*(c + 1)*(5*c - 2)
Let t(b) be the third derivative of -b**8/5040 - b**7/504 - b**6/180 + b**5/20 - 3*b**2. Let a(l) be the third derivative of t(l). Let a(v) = 0. Calculate v.
-2, -1/2
Let c(i) be the third derivative of -i**8/2184 + i**7/1365 + i**6/780 - i**5/390 - 27*i**2. Factor c(n).
-2*n**2*(n -