 1/75*a**6 + 0*a**3. Factor i(y).
2*y**2*(y - 2)**2/5
Let m(i) be the first derivative of 5/7*i**2 + 1/14*i**4 + 5 + 4/7*i + 8/21*i**3. Suppose m(x) = 0. What is x?
-2, -1
Let l = -148 + 151. Factor 0 + s**2 - 1/2*s**l - 1/2*s.
-s*(s - 1)**2/2
Factor -1790*w**2 - 4*w**4 + 1790*w**2 - 14*w**5.
-2*w**4*(7*w + 2)
Let s(j) = j**3 + 4*j**2 - 6*j - 7. Let i be s(-5). Let c(y) = -y**2 + y - 1. Let f(g) = 4*g**2 - 3*g + 2. Let x(l) = i*f(l) - 6*c(l). Let x(k) = 0. What is k?
-1, 1
Let c(n) be the third derivative of -4*n**7/315 + n**6/30 - n**5/45 - 12*n**2. Solve c(y) = 0 for y.
0, 1/2, 1
Let h(x) = -8*x**4 + 4*x**3 - 2*x**2 - 6*x. Let v(c) = 9*c**4 - 4*c**3 + 2*c**2 + 7*c. Let d(t) = -7*h(t) - 6*v(t). Let d(u) = 0. Calculate u.
0, 1
Let i be ((-2)/(-10))/(3/295). Let f = i + -19. What is w in 4/9 + f*w + 2/9*w**2 = 0?
-2, -1
Find x such that 5*x - 4*x + 13*x + x**2 - 12 - 3*x**2 = 0.
1, 6
Let c(d) = 11*d**3 - 4*d**2 + 23*d - 14. Let o(a) = 7*a**3 - 3*a**2 + 15*a - 9. Let y(r) = -5*c(r) + 8*o(r). Find z, given that y(z) = 0.
1, 2
Let z(q) = -q**2 + 5*q - 3. Let n be z(3). Factor -6*g**2 - 11*g**5 - 10*g**5 + 24*g**4 - 3*g**n + 6*g**5.
-3*g**2*(g - 1)**2*(5*g + 2)
Let m(r) = -r**2 - r. Let k(n) = 14*n**4 - 18*n**3 - 4*n. Let d = -5 - -1. Let l(q) = d*m(q) + k(q). Factor l(v).
2*v**2*(v - 1)*(7*v - 2)
Let s(p) be the third derivative of -p**6/540 + 2*p**5/135 - 5*p**4/108 + 2*p**3/27 - 22*p**2. Factor s(w).
-2*(w - 2)*(w - 1)**2/9
Let i be (-5)/15 - (-14)/15. Factor 0*h + 3/5*h**2 - i.
3*(h - 1)*(h + 1)/5
Let z = -5 + 8. Factor -2*t**z - t**2 + 0*t**3 + 3*t**3 + 0*t**3.
t**2*(t - 1)
Let r(h) be the third derivative of -h**6/30 - h**5/5 - h**4/3 - 6*h**2. Factor r(z).
-4*z*(z + 1)*(z + 2)
Let h(z) be the first derivative of z**6/30 - z**5/20 - z**4/12 + z**3/6 - 3*z - 2. Let c(u) be the first derivative of h(u). Suppose c(y) = 0. Calculate y.
-1, 0, 1
Let g be 2/(-5) + 1083/570. Suppose -g*k + 3/4*k**2 + 3/4 = 0. Calculate k.
1
Let x(i) be the first derivative of i**4/10 - 4*i**3/15 + 2. Suppose x(a) = 0. Calculate a.
0, 2
Let -17*b**2 - 25*b + 12*b**2 - 21 + 1 = 0. Calculate b.
-4, -1
Let j = 2/31 - -27/62. Factor -9/2 + 3*y - j*y**2.
-(y - 3)**2/2
Let y(c) be the first derivative of c**5/30 - c**4/6 + c**3/6 + c**2/3 - 2*c/3 - 15. Find h such that y(h) = 0.
-1, 1, 2
Solve 6*z**2 + 0*z**2 + 0*z**3 + z**3 + 2*z**3 = 0.
-2, 0
Let u(k) be the third derivative of -k**6/30 + 2*k**5/15 + 5*k**4/6 - 4*k**3 - k**2 - 22. Factor u(d).
-4*(d - 3)*(d - 1)*(d + 2)
What is k in 1 - 3/4*k**2 - 1/4*k**3 + 0*k = 0?
-2, 1
Factor 12*t**3 - 3*t**2 - 5*t**3 - 8*t**3 + 2*t**2.
-t**2*(t + 1)
Let f(q) = -q**2 - q + 1. Let j(p) = p**3 - 4*p**2 - p + 2. Suppose 10*z = 5*z - 5. Let m(w) = z*j(w) + 2*f(w). Factor m(v).
-v*(v - 1)**2
Let r(l) = 3*l**2 - 5*l - 5. Let m(z) = -15*z**2 + 24*z + 24. Let a = -6 - -1. Let t(x) = a*m(x) - 24*r(x). Find d such that t(d) = 0.
0
Let m(v) be the second derivative of v**4/6 - 8*v**3/3 + 16*v**2 + 23*v. What is a in m(a) = 0?
4
Suppose -19*x = -22*x + 6. Let h(d) be the third derivative of 0 + 2*d**x + 0*d**4 - 1/15*d**3 + 0*d + 1/150*d**5. Factor h(z).
2*(z - 1)*(z + 1)/5
Let r(w) = -28*w**2 - 28*w. Let m(f) be the second derivative of -f**4/12 - f**3/6 + 2*f. Let s(g) = -24*m(g) + r(g). Determine c, given that s(c) = 0.
-1, 0
Let d(m) be the third derivative of m**7/1680 - m**6/320 - m**5/160 + 11*m**4/192 - m**3/8 - 43*m**2. Factor d(z).
(z - 3)*(z - 1)**2*(z + 2)/8
Let j be 6/2 + -2 + 2. Determine n, given that 1 + 2*n - n**2 - j*n**2 + 5*n**2 = 0.
-1
Factor 0*c + 1/3*c**4 + 1/3*c**2 + 0 + 2/3*c**3.
c**2*(c + 1)**2/3
Suppose 0 = -r + 10 - 5. Suppose 5 = 2*d + 1, -2*m - 6 = -r*d. Factor 0*f - 1/2*f**m - 1/2*f**3 + 0.
-f**2*(f + 1)/2
Let u(j) be the first derivative of -j**6/120 + j**2/2 - 1. Let n(b) be the second derivative of u(b). Factor n(g).
-g**3
Let h be 836/(-26) - 28/(-182). Let k be h/(-35)*(-10)/(-4). Find x, given that 2/7 + k*x**3 - 6/7*x**4 + 0*x - 12/7*x**2 = 0.
-1/3, 1
Let p(c) be the second derivative of c**6/90 + c**5/24 - 7*c**4/36 - 2*c**3/9 - 9*c - 2. Factor p(n).
n*(n - 2)*(n + 4)*(2*n + 1)/6
Determine b, given that 0*b + 0 - 4/13*b**2 - 2/13*b**3 = 0.
-2, 0
Let p(u) be the first derivative of 3/20*u**4 - 1/25*u**5 + 4 - 1/5*u**3 + 0*u + 1/10*u**2. Factor p(t).
-t*(t - 1)**3/5
Let -12/7*z + 4/7*z**3 + 0*z**2 + 8/7 = 0. What is z?
-2, 1
Determine x, given that -8*x**4 - 3*x**2 - 5*x**2 + 13*x**2 + 20*x**3 - 20*x + 3*x**2 = 0.
-1, 0, 1, 5/2
Let l(c) be the third derivative of 5*c**6/72 + c**5/36 - 2*c**4/9 + 2*c**3/9 - 3*c**2. Determine z so that l(z) = 0.
-1, 2/5
Suppose -4 = -2*q + 2. Factor q*g**5 - 3*g**3 - 2*g + 0*g**3 - 3*g**3 + 5*g.
3*g*(g - 1)**2*(g + 1)**2
Let x = 6/5 + -13/15. Let u(p) be the second derivative of 1/3*p**2 - p - 1/30*p**5 + 0 - x*p**3 + 1/6*p**4. Factor u(w).
-2*(w - 1)**3/3
Let n(a) = 4*a**2 - 2*a**2 - 5*a - 5 + a - a**2. Let l be n(5). Suppose 0*b**3 + 2/5*b**5 + 4/5*b**4 - 2/5*b - 4/5*b**2 + l = 0. What is b?
-1, 0, 1
Factor 2*t**2 + 0*t + 3*t**3 - 2*t**3 - 2*t**3 - t.
-t*(t - 1)**2
Let c(k) be the first derivative of 1 + 0*k + k**2 - 1/108*k**4 + 1/90*k**5 - 2/27*k**3. Let z(q) be the second derivative of c(q). Factor z(a).
2*(a - 1)*(3*a + 2)/9
Let l(g) = -g**3 + g**2 + 4*g. Let i be l(-2). Let 0 + 0*v - 3/4*v**3 - 1/2*v**2 + 5/4*v**i = 0. What is v?
-2/5, 0, 1
Suppose -5*v + 5 = -10. Let l(g) = -4*g**5 + 2*g**4 - 5*g**2 + 4*g + 3. Let h(q) = -7*q**5 + 4*q**4 - 9*q**2 + 7*q + 5. Let a(k) = v*h(k) - 5*l(k). Factor a(t).
-t*(t - 1)**3*(t + 1)
Let k(m) be the second derivative of m**8/240 + m**7/126 - m**6/90 + 7*m**4/12 - 7*m. Let w(h) be the third derivative of k(h). What is x in w(x) = 0?
-1, 0, 2/7
Let w(k) be the third derivative of k**8/294 - 22*k**7/735 + 3*k**6/35 - 4*k**5/105 - 4*k**4/21 - 19*k**2 + 2. Let w(u) = 0. Calculate u.
-1/2, 0, 2
Let m = -202/23 + 54563/6210. Let b(k) be the third derivative of -1/540*k**6 - 3*k**2 + 1/108*k**4 + 0 + 0*k - 1/27*k**3 + m*k**5. Factor b(f).
-2*(f - 1)**2*(f + 1)/9
Suppose i = -0*i + 6. What is x in -2*x**2 + i*x**2 + 0*x + 2*x**2 - 3*x - 3*x**3 = 0?
0, 1
Suppose 2*t + 11 = 4*f + 5*t, -5*t = -f - 3. Solve -4 + h**2 + 0*h**2 + h**f - 2*h = 0.
-1, 2
Let z(w) be the second derivative of -5*w**7/63 + 7*w**6/45 - w**5/15 - 15*w + 3. Let z(c) = 0. What is c?
0, 2/5, 1
Solve -4*b**3 - 2*b**2 + 4*b**4 + 4*b**5 + 0*b**3 - 2*b**2 = 0.
-1, 0, 1
Suppose 33 = 2*h + 5*s, 78*h - s - 3 = 76*h. Factor 21*j**3 - 3 - 9*j**h + 27/2*j + 3/2*j**5 - 24*j**2.
3*(j - 2)*(j - 1)**4/2
Let k(g) = -5*g + 5*g + 4*g**2 - 2 + 0*g. Let v(l) = 5*l**2 - 3. Let h(j) = -3*k(j) + 2*v(j). Factor h(t).
-2*t**2
Let b(w) = w**3 + w**2 + 2. Let y(f) = -4*f**3 - 5*f**2 - f - 9. Let r(o) = -9*b(o) - 2*y(o). Let r(q) = 0. What is q?
-1, 0, 2
Let x(g) be the third derivative of 3/40*g**6 - 9*g**2 + 0 + 0*g**3 + 1/70*g**7 + 1/8*g**4 + 0*g + 3/20*g**5. Factor x(b).
3*b*(b + 1)**3
Let p = -681/27835 + 1/293. Let h = 204/665 + p. Determine t so that -2/7*t**2 + 0*t + 0 - h*t**3 = 0.
-1, 0
Factor 0 + 2*b**4 - 10/7*b**3 + 0*b - 4/7*b**2.
2*b**2*(b - 1)*(7*b + 2)/7
Let j(d) = d**2 - 2*d - 2. Let h be j(-1). Let a be (h - (3 - 2))*-1. Factor 2/5*x**4 - 2/5*x**2 + 2/5*x**3 + a - 2/5*x.
2*x*(x - 1)*(x + 1)**2/5
Let w(u) be the first derivative of u**5/5 - u**3/3 - 10. Solve w(p) = 0 for p.
-1, 0, 1
Let l = 0 - -30. Let c be (8/5)/(4/l). Factor 2 + 0 + 8*u**2 + 10*u**2 - c*u - 8*u**3.
-2*(u - 1)**2*(4*u - 1)
Let w(y) = -y**4 - 2*y**3 - 13*y**2 - 8*y - 4. Let i(v) = v**4 + 3*v**3 + 13*v**2 + 9*v + 4. Let q(x) = 4*i(x) + 3*w(x). Factor q(n).
(n + 1)**2*(n + 2)**2
Solve 3*x**2 - 140*x + 108 + 60*x + 44*x = 0.
6
Let j(l) = -2*l**2 - 8*l + 6. Let q(x) = x**2 + 8*x - 5. Let a(p) = -5*j(p) - 6*q(p). Factor a(d).
4*d*(d - 2)
What is a in -2/11*a**5 + 0*a - 2/11*a**3 + 0 + 0*a**2 + 4/11*a**4 = 0?
0, 1
Factor -10/9*c + 2/3*c**2 - 2/9*c**4 + 2/9*c**3 + 4/9.
-2*(c - 1)**3*(c + 2)/9
Let j = 12 + -9. Let c = 15 - 13. Find h such that 0*h**j + 0*h**c + 2/5*h**4 + 0 + 0*h = 0.
0
Factor -4*k**3 + 20/3*k + 0 - 56/3*k**2.
-4*k*(k + 5)*(3*k - 1)/3
Factor -3*r**2 - 29 + 8 - 31 + 7*r**2 + 48*r.
4*(r - 1)*(r + 13)
Factor -272*y - 10*y**4 + 280*y + 6*y**3 + 15*y**2 + 9*y**2.
-2*y*(y - 2)*(y + 1)*(5*y + 2)
Let j(b) = 3*b*