-3*q - 32 = -4*j, 5*j - 3*q = -13 + 50. Determine a so that 1/4*a**2 + 0 - 1/4*a**j + 1/4*a**3 - 1/4*a**4 + 0*a = 0.
-1, 0, 1
Let c be 3/(3 - 0)*1. Let q be 5*(2 + 3/(-1)). Let v(r) = -r**2 - r + 1. Let u(t) = -3*t + 5. Let x(o) = c*u(o) + q*v(o). Factor x(w).
w*(5*w + 2)
Suppose -1 = -2*g + 3. Factor -7*q**2 - 4*q**3 + 5*q**3 + 9*q**g.
q**2*(q + 2)
Let g be 25/20 + 2/(-8). Suppose -s = -g - 3. Determine n, given that n**3 + 3*n**3 + 6*n**4 + 3*n**2 - s*n**4 - n**2 = 0.
-1, 0
Suppose 7*n + 5*i - 255 = 2*n, 2*i - 212 = -4*n. Let h = -163/3 + n. Let 8/3*w + 2/3 + h*w**4 + 4*w**2 + 8/3*w**3 = 0. Calculate w.
-1
Let a = 0 + -5. Let g(c) = -3*c**2 + 3. Let w(h) = -h**4 - h**3 + 6*h**2 + h - 5. Let i(m) = a*g(m) - 3*w(m). Factor i(s).
3*s*(s - 1)*(s + 1)**2
Let g(o) be the second derivative of -o**4/18 + o**3/3 - 5*o - 2. Find c such that g(c) = 0.
0, 3
Let q = -48 - -51. Let h(j) be the first derivative of -2 + 1/6*j**4 - 1/3*j**2 + 0*j - 2/15*j**5 + 2/9*j**q. Solve h(a) = 0 for a.
-1, 0, 1
Let p(b) be the first derivative of b**6/3 - 7*b**5/5 + 2*b**4 - 2*b**3/3 - b**2 + b + 2. Determine s, given that p(s) = 0.
-1/2, 1
Suppose x - k - 11 = 3*k, -4*x + k = 1. Let a be -5*x/((-20)/(-16)). What is s in 0*s + 0*s**3 + 0 - 2/3*s**2 + 2/3*s**a = 0?
-1, 0, 1
Let b(w) be the third derivative of 1/15*w**3 + 0 + 1/100*w**6 + 0*w + 1/12*w**4 + 7/150*w**5 + 10*w**2. Solve b(u) = 0 for u.
-1, -1/3
Let j(y) = 3*y**2 - 3*y. Suppose -3*f + 4 = -47. Let u(k) = k**2 + k - 2*k**2 + 0*k. Let g(b) = f*u(b) + 6*j(b). Factor g(q).
q*(q - 1)
Suppose 4*x = 14 + 2. Suppose -3*m = 3*z - 9, -x*z = m - 3*m - 12. Suppose t**5 - 2*t**4 - t**3 + t**3 + t**z = 0. Calculate t.
0, 1
Let u(l) = -l**2 - 1. Let d(n) = 4*n**2 + 2*n + 2. Let f(b) = d(b) + 2*u(b). Factor f(g).
2*g*(g + 1)
Let q be (2/14)/(11/22). Factor 0 - 2/7*l**3 + 0*l + q*l**5 + 2/7*l**4 - 2/7*l**2.
2*l**2*(l - 1)*(l + 1)**2/7
Let c = -2 - -4. What is w in 4/3 + c*w + 2/3*w**2 = 0?
-2, -1
Let g(c) be the third derivative of c**7/1575 - c**6/150 + 13*c**5/450 - c**4/15 + 4*c**3/45 - 9*c**2. Find m such that g(m) = 0.
1, 2
Let g(x) be the first derivative of -1/18*x**4 + 2/27*x**3 - 3 + 0*x - 2/45*x**5 + 1/9*x**2. What is i in g(i) = 0?
-1, 0, 1
Let n be 2*(-1 - 15/(-21)). Let m = n + 19/21. Let m*k - 1/3*k**3 - 1/3 + 1/3*k**2 = 0. What is k?
-1, 1
Let d(s) be the first derivative of 0*s - 7/9*s**6 - 5 - 4/3*s**2 + 11/6*s**4 + 8/3*s**3 - 8/5*s**5. Suppose d(o) = 0. Calculate o.
-2, -1, 0, 2/7, 1
Let g be ((-40)/(-500))/(1/5). What is b in -3/5*b**2 - 1/5*b**3 - g*b + 0 = 0?
-2, -1, 0
Suppose n = k + 3*n - 2, 0 = -2*k + 2*n + 16. Let y(i) = -17*i**2 + 29*i - 13. Let t(r) = -4*r**2 + 7*r - 3. Let s(f) = k*y(f) - 26*t(f). What is j in s(j) = 0?
0, 4
Let r be (-4)/1 - (-98)/24. Let f(j) be the third derivative of -r*j**4 - 1/6*j**3 + 0 + 0*j - 1/60*j**5 - 3*j**2. Factor f(v).
-(v + 1)**2
Let w(t) be the second derivative of t**5 + 5*t**4/4 - 5*t**3/6 - 10*t. What is x in w(x) = 0?
-1, 0, 1/4
Let t(g) be the first derivative of -2*g**3/3 - g**2 + 6. Factor t(k).
-2*k*(k + 1)
Let 0*i**2 - 2/5*i**3 + 0 + 0*i**4 + 0*i + 2/5*i**5 = 0. Calculate i.
-1, 0, 1
Factor 4*o**3 - 453*o**5 + 455*o**5 - 2*o**3 - 4*o**4.
2*o**3*(o - 1)**2
Let c(i) = 2*i**2 - 17*i + 17. Let d be (-1)/(2 + (-51)/27). Let b(f) = f**2 - 8*f + 8. Let y(s) = d*b(s) + 4*c(s). Factor y(k).
-(k - 2)**2
Let b(n) = n**4 + n**2 + n. Let o(d) = -3*d**4 + 5*d**3 - 5*d**2 - 11*d. Let x(v) = 10*b(v) + 5*o(v). Factor x(r).
-5*r*(r - 3)**2*(r + 1)
Let b(v) = v**2 + 2*v - 1. Let c(n) = 2*n**2 + 5*n - 2. Let k(d) = -5*b(d) + 2*c(d). Let k(l) = 0. Calculate l.
-1, 1
Suppose -12 - 15 = -3*y. Factor 0*x**4 + 0*x**4 + y*x**3 - 15*x**3 - 3*x**2 - 3*x**4.
-3*x**2*(x + 1)**2
Let z = -1046 + 1049. Factor 2/3*s**z - 2/3*s**2 - 4/3*s + 0.
2*s*(s - 2)*(s + 1)/3
Let k(u) = -2*u**2 - 3*u - 5. Let q(w) = w**2 + w + 1. Let t(z) = 3*k(z) + 12*q(z). Factor t(b).
3*(b + 1)*(2*b - 1)
Solve 38*u**3 + 3 + 2 + 3 - 110*u**2 - 8*u + 18*u**3 = 0.
-2/7, 1/4, 2
Let o(p) be the third derivative of -2*p**7/105 - p**6/15 + p**5/15 + p**4/3 - 37*p**2. Suppose o(r) = 0. Calculate r.
-2, -1, 0, 1
Let w(l) be the third derivative of l**8/50400 + l**7/6300 - l**5/60 + 3*l**2. Let i(a) be the third derivative of w(a). Factor i(k).
2*k*(k + 2)/5
Let z(m) be the third derivative of -1/70*m**7 + 5*m**2 + 1/8*m**4 - 1/2*m**3 + 0 + 1/112*m**8 + 0*m - 1/20*m**6 + 1/10*m**5. Let z(x) = 0. What is x?
-1, 1
Let g(c) be the first derivative of c**5/15 + c**4/12 - c**3 + 11*c**2/6 - 4*c/3 - 6. Find r such that g(r) = 0.
-4, 1
Let b(h) be the first derivative of h**5/5 - h**4/4 - 11. Factor b(o).
o**3*(o - 1)
Let s(z) = z**3 - 4*z**2 + 4*z - 1. Let h be s(3). Let b**h - 17 + 10 + 6 = 0. Calculate b.
-1, 1
Let c(u) be the third derivative of -1/210*u**5 - 1/21*u**3 + 0 + 1/42*u**4 + 0*u - 3*u**2. Factor c(w).
-2*(w - 1)**2/7
Let s(j) = 2*j**2 + 10*j - 6. Let r(f) = f**3 - 11*f**2 - 11*f - 6. Let u be r(12). Let y(l) = l**2 - l + 1. Let v(b) = u*y(b) - s(b). Factor v(m).
4*(m - 3)*(m - 1)
Let o(f) be the first derivative of 1/6*f**2 - 1 + 1/36*f**4 + f + 1/9*f**3. Let u(h) be the first derivative of o(h). Factor u(d).
(d + 1)**2/3
Let j(s) be the third derivative of s**7/70 - s**5/10 + s**3/2 - 4*s**2. Factor j(v).
3*(v - 1)**2*(v + 1)**2
Let d(t) be the first derivative of 2*t + 1/48*t**4 + 2 - 1/120*t**6 + 0*t**3 + 0*t**5 + 0*t**2. Let m(u) be the first derivative of d(u). Factor m(i).
-i**2*(i - 1)*(i + 1)/4
Let s(m) = m**3 + 7*m**2 + 2*m - 24. Let n be s(-6). Factor n*k - 1/2*k**2 - 3/2*k**3 + 2*k**4 + 0.
k**2*(k - 1)*(4*k + 1)/2
Factor 0*v + 0 - 2/7*v**2.
-2*v**2/7
Let v(k) be the third derivative of -k**6/120 - k**5/20 - k**4/8 - k**3/6 + 19*k**2. Factor v(a).
-(a + 1)**3
Let n(v) be the third derivative of v**7/84 - v**5/4 + 5*v**4/6 - 5*v**3/4 + 2*v**2. Solve n(p) = 0 for p.
-3, 1
Let v(g) be the second derivative of 4*g + 0 + 0*g**2 + 1/42*g**4 + 0*g**3. Find k such that v(k) = 0.
0
Let t(v) be the second derivative of 0 + 1/60*v**6 + 1/2*v**2 + 1/40*v**5 - 1/8*v**4 + 2*v - 1/12*v**3. What is d in t(d) = 0?
-2, -1, 1
Factor 5 - 4*d**2 + 1 + d**2 - 3*d**3 + 3*d - 3*d**2.
-3*(d - 1)*(d + 1)*(d + 2)
Let g(y) = 5*y**4 - 8*y**3 - 7*y**2 - 6*y + 6. Let h(t) = -11*t**4 + 15*t**2 + 7*t + 21*t**3 + 6*t - 4*t**3 - 13. Let o(z) = -13*g(z) - 6*h(z). Factor o(l).
l**2*(l + 1)**2
Suppose 0 = -q - 2*q - 21. Let i = -4 - q. Factor 2*n**4 + 0*n**4 - n**3 - 4*n**4 + i*n**3.
-2*n**3*(n - 1)
Let c(r) be the first derivative of 12*r**5/5 + 3*r**4/4 - 4*r**3 - 3*r**2/2 + 27. Determine g, given that c(g) = 0.
-1, -1/4, 0, 1
Let w(u) be the second derivative of 1/12*u**3 + 1/15*u**6 + 3/20*u**5 + 1/84*u**7 + 0*u**2 + 1/6*u**4 - 3*u + 0. Factor w(h).
h*(h + 1)**4/2
Factor -8/7*s + 6/7 + 2/7*s**2.
2*(s - 3)*(s - 1)/7
Factor 28/5*c**2 + 0 + 4/5*c**4 - 12/5*c - 4*c**3.
4*c*(c - 3)*(c - 1)**2/5
Let y(m) be the second derivative of 2*m**6/15 - 3*m**5/5 + 2*m**4/3 - 3*m. Factor y(u).
4*u**2*(u - 2)*(u - 1)
Factor -2/11*s**3 + 0 + 0*s - 4/11*s**2.
-2*s**2*(s + 2)/11
Solve -1/5*x**3 - x + 2/5 + 4/5*x**2 = 0 for x.
1, 2
What is m in 8*m + 62*m**2 - 3 - 74*m**2 + m + 6*m = 0?
1/4, 1
Let u(r) be the second derivative of r**4/4 + r**3 + 8*r**2 - 3*r. Let h(k) = 13*k**2 + 23*k + 64. Let q(w) = 4*h(w) - 18*u(w). Factor q(n).
-2*(n + 4)**2
Let l(y) be the first derivative of -2*y**5/15 - y**4/2 + 8*y**3/9 - 19. Factor l(i).
-2*i**2*(i - 1)*(i + 4)/3
Let m(c) be the third derivative of -c**5/270 + 5*c**4/108 - 4*c**3/27 + 4*c**2. Factor m(k).
-2*(k - 4)*(k - 1)/9
Let j(t) = t - 5. Let h be j(8). Factor 4*i**h + i - 5*i**3 - i**2 - 2*i + 3*i.
-i*(i - 1)*(i + 2)
Let w(h) be the second derivative of 1/24*h**4 + 0 + 1/4*h**2 - h - 1/6*h**3. Factor w(v).
(v - 1)**2/2
Let 4*k - k**2 - 4*k + 2 + 2 = 0. What is k?
-2, 2
Let t be (-18)/(-20) + (-2)/5. Let j = -4 - -7. Factor 3/2*n**2 + 0*n - 2 + t*n**j.
(n - 1)*(n + 2)**2/2
Let p(l) = -3*l**5 - 21*l**4 - 78*l**3 - 114*l**2 - 84*l - 21. Let k(z) = -z**4 + z**3 - 1. Let j(v) = 3*k(v) + p(v). Suppose j(a) = 0. Calculate a.
-2, -1
Let a be 1*(1 - -2) + -51 + 50. Let t(u) be the first derivative of 1/2*u**3 - 3 + 3/8*u**a + 3/16*u**4 + 0*u. Let t(j) = 0. Calculate j.
-1, 0
Let x(z) be the third derivative of -z**5