 y(v) = 0.
0, 1
Let a be (4 + (-100)/24)*(-12)/8. Determine g, given that -1/2*g**3 + 0*g + 0 + a*g**4 + 1/4*g**2 = 0.
0, 1
Let z(c) be the third derivative of -c**6/660 + c**5/165 + c**4/33 - 8*c**3/33 + 7*c**2. Factor z(s).
-2*(s - 2)**2*(s + 2)/11
Suppose -u - 18 = v + 4*u, -4*v + 20 = -3*u. Let s be 1*(2 + 0)/6. Solve 2/3 + s*b**v - b = 0 for b.
1, 2
Factor 0 + 0*h**3 + 1/2*h**4 - 1/4*h**5 - 1/2*h**2 + 1/4*h.
-h*(h - 1)**3*(h + 1)/4
Let j(t) be the first derivative of -2*t**5/45 - t**4/9 + 2*t**3/27 + 2*t**2/9 - 2. Determine k so that j(k) = 0.
-2, -1, 0, 1
Let l(i) be the first derivative of -i**4/16 + i**3/12 - 9. Suppose l(g) = 0. Calculate g.
0, 1
Let z(y) be the third derivative of 0*y + 0 + y**2 + 1/4*y**4 - 1/2*y**3 - 1/20*y**5. Let z(t) = 0. Calculate t.
1
Let z(c) be the first derivative of -c**6/90 - c**5/30 - c**4/36 + c + 2. Let q(s) be the first derivative of z(s). Solve q(o) = 0 for o.
-1, 0
Let t(y) be the third derivative of -3*y**5/70 + y**4/42 + 13*y**2. Let t(j) = 0. What is j?
0, 2/9
Let p(q) be the second derivative of -7/25*q**5 + 2*q - 2/5*q**2 + 0 + 2/15*q**3 + 11/12*q**4. What is r in p(r) = 0?
-2/7, 1/4, 2
Let d be 4/(6/3) + 0/2. Factor 1/3 - 1/3*s**3 + s**d - s.
-(s - 1)**3/3
Let h(w) be the first derivative of w**6/45 + w**5/10 - 4*w**3/9 - 3*w + 4. Let u(l) be the first derivative of h(l). Factor u(k).
2*k*(k - 1)*(k + 2)**2/3
Let o(i) be the third derivative of -i**6/240 + i**5/60 - 3*i**2. Factor o(r).
-r**2*(r - 2)/2
Factor -12*w + 12*w**3 + 12 + 3/4*w**5 - 6*w**2 - 21/4*w**4.
3*(w - 2)**4*(w + 1)/4
Let z(x) be the third derivative of x**9/40320 - x**8/6720 + x**7/3360 + x**5/12 + 5*x**2. Let p(a) be the third derivative of z(a). Factor p(b).
3*b*(b - 1)**2/2
Suppose -80 = 6*h - 11*h. Determine q, given that -3 - 18*q**2 + 12*q**3 - 4*q + h*q + 0*q - 3*q**4 = 0.
1
Let o = 557 + -553. Factor 1/4*d**3 - 1/4*d**o + 0*d**2 + 0*d + 0.
-d**3*(d - 1)/4
Let y(w) = w**2 + w. Let j(b) = 10*b**2 + 30*b + 20. Let s(v) = j(v) - 5*y(v). Factor s(d).
5*(d + 1)*(d + 4)
Suppose -x = -4*x. Factor m**4 - m**3 + x*m**3 + 2*m**3 - m + 0*m**3 - m**2.
m*(m - 1)*(m + 1)**2
Suppose -u - 3*u = -24. Let a = -2 + u. Let 4*y**3 - 2*y**2 + 2*y**4 - 4*y**a + 0*y**2 = 0. Calculate y.
0, 1
Let b(k) be the second derivative of 2*k**6/15 - 12*k**5/25 + 3*k**4/5 - 4*k**3/15 + 17*k. Solve b(h) = 0 for h.
0, 2/5, 1
Suppose 5*s - 4*p - p - 25 = 0, 3*s - 4*p = 15. Let c(w) be the third derivative of 0*w**s + 0 - 1/84*w**4 + 1/420*w**6 + 0*w**3 - 2*w**2 + 0*w. Factor c(x).
2*x*(x - 1)*(x + 1)/7
Let i(l) = l**2 + 7*l - 1. Let g be i(-8). Let u = 7 - g. Let 2/5*o**3 + u*o - 2/5*o**2 + 0 = 0. What is o?
0, 1
Let t = -1583 - -6333/4. Factor 1/2*s + t + 1/4*s**2.
(s + 1)**2/4
Factor 15*h**2 + 34*h**4 - 10*h - 49*h**4 + 4 - 4 + 10*h**3.
-5*h*(h - 1)*(h + 1)*(3*h - 2)
Factor 0 + 33/7*x**4 + 6/7*x**3 + 0*x + 6*x**5 + 0*x**2.
3*x**3*(2*x + 1)*(7*x + 2)/7
Factor 1/7*c**4 + 5/7*c**2 - 2/7*c + 0 - 4/7*c**3.
c*(c - 2)*(c - 1)**2/7
Let f(v) be the third derivative of 1/210*v**5 + 0*v + 2*v**2 - 1/42*v**4 + 1/21*v**3 + 0. Factor f(h).
2*(h - 1)**2/7
Let f(k) be the second derivative of -k**6/30 - k**5/10 + k**4/3 + k**3/3 - 3*k**2/2 + 9*k + 2. Determine x so that f(x) = 0.
-3, -1, 1
Let v be (3*-2 - -2)/(-2). Suppose 0 + 8/7*l**3 + 0*l - 8/7*l**4 - 2/7*l**v = 0. What is l?
0, 1/2
Suppose 4*s - 2*s - 24 = 0. Suppose q - 16 = -4*o - q, -s = -2*o - 2*q. Solve 3/5*u**4 + 3/5*u**5 + 3/5 + 3/5*u - 6/5*u**o - 6/5*u**3 = 0.
-1, 1
Let y be (12/(-70))/((-20)/25). Let u = y - -1/28. Determine s, given that -1/4*s**2 + 0*s + 0 - 1/4*s**3 + u*s**4 + 1/4*s**5 = 0.
-1, 0, 1
Suppose -3*n = n - 8. Factor -2 - 4*b**n - 3*b + 4*b**2 + 2*b**2 - 3*b**2.
-(b + 1)*(b + 2)
Let z(m) be the second derivative of m**7/2100 + m**6/900 - m**5/150 - m**3 - 3*m. Let s(q) be the second derivative of z(q). Determine w so that s(w) = 0.
-2, 0, 1
Let a(m) be the first derivative of m**7/1400 - m**6/600 - m**5/100 - m**3/3 - 6. Let y(p) be the third derivative of a(p). Factor y(l).
3*l*(l - 2)*(l + 1)/5
Let c(u) be the first derivative of -u**9/336 - u**8/112 - u**7/120 - u**6/360 + 4*u**3/3 - 5. Let a(t) be the third derivative of c(t). Factor a(w).
-w**2*(w + 1)*(3*w + 1)**2
Let h be 1*-3 + 943/287. Find d, given that 0 - h*d + 2/7*d**2 = 0.
0, 1
Factor 0 + 4*q**3 + q**2 - 25/4*q**5 + 5/4*q**4 + 0*q.
-q**2*(q - 1)*(5*q + 2)**2/4
Let h(w) be the third derivative of -3*w**2 + 0 + 0*w - 1/840*w**8 + 0*w**4 + 0*w**3 + 1/525*w**7 - 1/150*w**5 + 1/300*w**6. Factor h(b).
-2*b**2*(b - 1)**2*(b + 1)/5
Let h(x) be the second derivative of -2/15*x**5 + 1/45*x**6 + 1/3*x**4 - 4/9*x**3 + 3*x + 1/3*x**2 + 0. Let h(l) = 0. What is l?
1
Let o(y) be the second derivative of 2*y**6/45 - 7*y**5/60 + y**4/18 + y**3/18 - 3*y. Let o(k) = 0. What is k?
-1/4, 0, 1
Factor -4*a**2 + 4*a**3 - 4*a**2 - 973*a + 961*a.
4*a*(a - 3)*(a + 1)
Factor o - 1/2*o**2 - 1/2.
-(o - 1)**2/2
Suppose -1/4*h**2 - 1/2 + 3/4*h = 0. Calculate h.
1, 2
Let n(l) be the second derivative of -14*l**7 + 266*l**6/15 + 25*l**5/3 - 79*l**4/9 - 16*l**3/9 + 8*l**2/3 + 20*l. Suppose n(d) = 0. What is d?
-1/3, 2/7, 1
Let b(u) = -u - 2. Let i be b(-4). Factor 15*n**i + 24*n + 3 + 3*n**3 - 2 + 11.
3*(n + 1)*(n + 2)**2
Suppose 3*y = 2*y + 16. Suppose 0 = 3*h - 6*h - 12, 4*k - y = h. Find v such that 4*v - 2*v**4 + k*v**4 - 11*v**4 - 2*v**2 - 16*v**3 = 0.
-1, 0, 2/5
Let u(q) = 10*q**2 + 6*q. Let b(y) = -1 + 0 + 12*y**2 - 11*y**2. Let z(d) = 36*b(d) - 4*u(d). Factor z(s).
-4*(s + 3)**2
Let p(v) be the third derivative of v**9/302400 + v**8/50400 + v**7/25200 - v**5/30 + v**2. Let c(x) be the third derivative of p(x). Factor c(m).
m*(m + 1)**2/5
Let i(a) be the first derivative of -2*a**6/15 - a**5/20 + a**4 - 5*a**3/6 - a**2 + 2*a + 3. Let r(o) be the first derivative of i(o). Factor r(q).
-(q - 1)**2*(q + 2)*(4*q + 1)
Let i be ((-3)/2)/(6/(-12)). Factor c**2 + c**3 - c + 4*c - i*c.
c**2*(c + 1)
Let n(d) = 3*d**3 + 10*d**2 + 3*d + 4. Let w(u) = u**2 + 1. Suppose 0 = 5*g + 3*h + 11, -3*h - 3 = 3*g + 6. Let b(v) = g*n(v) + 4*w(v). Factor b(i).
-3*i*(i + 1)**2
Suppose 0*g - 4*g + 8 = 0. Factor 3*k**2 + 2 + k - 3*k - k**g - 2*k.
2*(k - 1)**2
Let i = -4 - -7. Let 5*j**2 + 5*j**2 + 41*j + 8*j**2 - 14*j + 3*j**i = 0. What is j?
-3, 0
Let t = 1/308 - -151/924. Let l(s) be the first derivative of 1/3*s**3 - 2/3*s + 3 - t*s**2. Factor l(q).
(q - 1)*(3*q + 2)/3
Let z = 19/66 + 1/22. Let c(x) be the third derivative of 3/56*x**8 - 11/60*x**6 + z*x**4 - 2*x**2 + 0 + 0*x**3 + 2/15*x**5 + 0*x - 2/35*x**7. Factor c(l).
2*l*(l - 1)**2*(3*l + 2)**2
Let f(y) be the third derivative of -y**5/20 + y**4/6 + 2*y**3/3 - 6*y**2. Suppose f(l) = 0. Calculate l.
-2/3, 2
Let d(v) be the third derivative of 1/150*v**5 + v**2 + 4/15*v**3 + 0 + 0*v + 1/15*v**4. Factor d(y).
2*(y + 2)**2/5
Let j(r) be the second derivative of 4*r**6/105 + 11*r**5/70 + 3*r**4/14 + r**3/21 - r**2/7 + 4*r. Factor j(u).
2*(u + 1)**3*(4*u - 1)/7
Suppose 4*m - 4*y - 32 + 4 = 0, -5*m = -y - 19. Factor -3*p**3 + 12*p**4 - 12*p**4 + m*p**5.
3*p**3*(p - 1)*(p + 1)
Let s(c) = 5*c**2 - 33*c - 32. Let j(n) = -5*n**2 + 32*n + 33. Let f(m) = -3*j(m) - 2*s(m). Suppose f(d) = 0. Calculate d.
-1, 7
Let u(f) = f**2 - 41*f - 2. Let m(v) = 6*v**2 - 288*v - 15. Let t(j) = -2*m(j) + 15*u(j). Factor t(b).
3*b*(b - 13)
Let m(z) be the third derivative of z**6/240 - z**5/60 - z**4/48 + z**3/6 + 18*z**2. Find l such that m(l) = 0.
-1, 1, 2
Let b(f) be the first derivative of f**8/336 - f**7/105 + f**5/30 - f**4/24 + f**2 + 2. Let g(a) be the second derivative of b(a). Factor g(j).
j*(j - 1)**3*(j + 1)
Suppose 10 = 5*l, -12 = -3*s - 0*l - 3*l. Solve -2/5*o**s + 4/5*o + 0 = 0.
0, 2
Let p(y) be the third derivative of y**6/1320 + y**5/660 - y**4/132 + 12*y**2. Factor p(m).
m*(m - 1)*(m + 2)/11
Suppose -20 - 5*y**2 + 6*y**2 + 4*y**2 = 0. What is y?
-2, 2
Suppose -5*o - 3*w + 12 = 0, 9 + 7 = -4*o + 4*w. Factor 0*k + 0*k**4 + 0*k**2 + 0*k**3 + o - 2/9*k**5.
-2*k**5/9
Let s = -55 + 117/2. Let k(r) be the first derivative of -1 + s*r**2 + 5*r**3 + 4/5*r**5 + r + 13/4*r**4. Factor k(d).
(d + 1)**3*(4*d + 1)
Let d(h) be the second derivative of -2*h**6/195 + 11*h**5/130 - 2*h**4/13 - 3*h**3/13 + 3*h. Solve d(x) = 0.
-1/2, 0, 3
Let u = 11 - 8.