x(s). Factor w(t).
-3*(t + 1)*(9*t - 2)
Factor 1/5*m**3 - 9/5*m - 1/5*m**2 + 9/5.
(m - 3)*(m - 1)*(m + 3)/5
Factor -84*n - 2*n**2 - 7*n**2 + 588 + 12*n**2.
3*(n - 14)**2
Let o(s) = -8*s - 6. Let t(n) = n**2 - 17*n - 13. Let k = 6 - 8. Let l(d) = k*t(d) + 5*o(d). Let l(c) = 0. Calculate c.
-2, -1
Let y be (-5 + 4)*(-3 - 39). Let z be (-2)/9 - (-2)/9. Find f such that z*f - 98*f**4 + 48*f**2 + y*f**3 + 3*f + 5*f = 0.
-2/7, 0, 1
Let y(g) be the third derivative of -g**8/60480 + g**7/2520 - g**6/240 - g**5/10 - 2*g**2. Let z(f) be the third derivative of y(f). Solve z(c) = 0.
3
Let j be -1*(-5)/(15/6). Suppose 4 = -q + 3*q. Factor q*l**2 + l - l**2 - j - 2*l.
(l - 2)*(l + 1)
Let l(i) be the first derivative of -2*i + 7/2*i**2 - 5/3*i**3 + 1. Factor l(s).
-(s - 1)*(5*s - 2)
Suppose 9/4*r**3 - 9*r - 3/2*r**2 + 6 = 0. Calculate r.
-2, 2/3, 2
Suppose 5*v + 25 = x, 5 = -5*x + 3*v - 4*v. Factor 1/2*a**2 + 1/2*a**4 + 0 - a**3 + x*a.
a**2*(a - 1)**2/2
Let t(c) be the first derivative of 2/3*c**3 - 14/5*c**5 + 2*c**2 - 2/3*c**6 + 0*c - 3*c**4 + 9. Solve t(s) = 0.
-2, -1, 0, 1/2
Let t = 4 - 4. Suppose -5 = -5*r, t = 4*l + r - 4 + 3. Factor -4/5*o**2 + l*o + 0 - 14/5*o**3.
-2*o**2*(7*o + 2)/5
Let f(t) be the first derivative of -2 - 3*t - 1/24*t**3 + 0*t**2 - 1/48*t**4. Let s(u) be the first derivative of f(u). Factor s(h).
-h*(h + 1)/4
Let v(y) be the second derivative of 0 + 0*y**2 + 1/6*y**3 + 2*y - 1/12*y**4. Find m such that v(m) = 0.
0, 1
Suppose 0*j = 3*j - 6. Factor -z**3 + 2*z**3 - 3*z**3 + z**4 + z**j.
z**2*(z - 1)**2
Let z(r) be the first derivative of 2*r**5/135 - 5*r**4/108 + r**3/27 + 3*r**2/2 - 3. Let s(t) be the second derivative of z(t). Solve s(u) = 0 for u.
1/4, 1
Let a be (-18)/(-7) + -1 - 1. Let f be (-120)/(-28) + 3 - 5. Find r, given that -2/7*r**2 - a*r + f*r**3 - 10/7*r**4 + 0 = 0.
-2/5, 0, 1
Suppose -3*h - 3 = 3*x - 0, 3*x = 2*h + 17. Suppose -10 = -5*a - 3*i, 0 = -0*i - x*i. Solve 7/4*w**5 - 1/2 - 10*w**a + 25/2*w**3 + 15/4*w - 15/2*w**4 = 0 for w.
2/7, 1
Let s(v) be the third derivative of 0 + 2*v**2 - 1/10*v**5 + 0*v - 1/12*v**4 + 2/3*v**3. Factor s(y).
-2*(y + 1)*(3*y - 2)
Suppose 21 = f - 4*s, 5*s = 5*f + 4*s - 29. Suppose -5*t = 2*k - 7, -5*k - 5 + 0 = f*t. Determine n, given that 0 - 1/3*n**t + 1/3*n**2 + 0*n = 0.
0, 1
Let b(q) be the third derivative of -q**7/42 - q**6/12 - q**5/12 - 17*q**2. Factor b(a).
-5*a**2*(a + 1)**2
Let b = 393/485 + -1/97. Let 2/5*l**5 + 2*l**3 + 0*l + 0 + b*l**2 + 8/5*l**4 = 0. Calculate l.
-2, -1, 0
Determine b so that 3*b**4 - 9/4*b**2 + 15/8*b**5 - 21/8*b**3 + 0 + 0*b = 0.
-2, -3/5, 0, 1
Let t(p) be the first derivative of p**6/3 - 2*p**5/5 - p**4/2 + 2*p**3/3 - 8. Factor t(x).
2*x**2*(x - 1)**2*(x + 1)
Let o(g) = 4*g**2 - 14*g + 18. Let f(r) = -5*r**2 + 15*r - 18. Let i(y) = -4*f(y) - 6*o(y). Factor i(v).
-4*(v - 3)**2
Let l(h) be the first derivative of -2*h**5 - 7*h**4/2 + 46*h**3/3 - 5*h**2 - 12*h + 9. Suppose l(v) = 0. What is v?
-3, -2/5, 1
Suppose -v = -2*x + 5, 2*x + v = -0*v + 3. Determine a, given that 5 + 2*a**2 - 4 - 1 + x*a = 0.
-1, 0
Find g, given that 3/2*g**2 + 0*g - g**3 - 1/2 = 0.
-1/2, 1
Let a(l) be the third derivative of -l**6/1440 + l**5/60 - l**4/6 + l**3 - l**2. Let j(m) be the first derivative of a(m). Suppose j(q) = 0. Calculate q.
4
Let h(g) be the third derivative of -g**8/120960 - g**7/30240 - 2*g**5/15 + g**2. Let v(l) be the third derivative of h(l). Solve v(p) = 0.
-1, 0
Solve 0*l + 1/5*l**3 + 1/5*l**4 + 0*l**2 + 0 = 0.
-1, 0
Let w = -2/2481 + 2485/4962. Find r such that -1/2*r**2 + 1/2 + w*r**3 - 1/2*r = 0.
-1, 1
Suppose 4*g + 4*m + 16 = 3*g, -5*m = 25. Factor -6*w**g - 24*w - 36*w**2 - 11*w**3 - 7*w**3 + 3*w**4.
-3*w*(w + 2)**3
Let t(v) = 22*v**4 - 14*v**3 - 148*v**2 - 124*v - 30. Let h(m) = m**4 - m**3 + 1. Let z(a) = -6*h(a) - t(a). Find b such that z(b) = 0.
-1, -2/7, 3
Let h(k) be the second derivative of 0*k**2 - k + 0*k**4 - 1/80*k**5 + 0*k**3 + 0. Determine v so that h(v) = 0.
0
Let r(z) be the second derivative of z**7/175 + 2*z**6/75 + z**5/25 - z**3/15 + 2*z**2 + 2*z. Let c(j) be the first derivative of r(j). Let c(s) = 0. What is s?
-1, 1/3
Solve 18*a**2 - 38*a**2 + 17*a**2 = 0.
0
Let u(x) = -x**2 - 8*x + 22. Let w be u(-10). Solve -y**w - 1/2*y + 0 - 1/2*y**3 = 0 for y.
-1, 0
Let g(b) be the first derivative of b**7/2940 - b**5/420 - 2*b**3/3 + 2. Let s(p) be the third derivative of g(p). Factor s(a).
2*a*(a - 1)*(a + 1)/7
Let m(d) be the third derivative of 0*d**4 - 1/210*d**5 + 0*d + 0 + 0*d**3 + 3*d**2. Determine o, given that m(o) = 0.
0
Determine b so that -28/3*b**4 + 44/3*b**2 - 16/3 - 16*b**3 + 16*b = 0.
-2, -1, 2/7, 1
Let p(m) be the third derivative of m**7/735 - m**6/420 - m**5/210 + m**4/84 + 12*m**2. Factor p(u).
2*u*(u - 1)**2*(u + 1)/7
Let f be 2 + -1 - 1*-2. Suppose -2*j + 5*s + 57 = 0, 3*j - 74 = 3*s - 11. Let -j*g**5 - 2*g + 0*g + g + 24*g**4 + 0*g**3 - g**f - 6*g**2 = 0. Calculate g.
-1/4, 0, 1
Suppose -23*u = -22*u - 2. Suppose -u*f = 3*q + 6, 5*q - 3*f + 12 = -7*f. Determine s so that 0 + 0*s**2 + q*s**4 - 3/4*s**5 + 3/2*s**3 - 3/4*s = 0.
-1, 0, 1
Let u(z) = z**4 - z - 1. Let s(f) = -2*f**4 - 2*f**3 - 6*f**2 + 6*f + 8. Let i(g) = s(g) + 4*u(g). Factor i(o).
2*(o - 2)*(o - 1)*(o + 1)**2
Suppose -11 = -11*g + 11. Factor 4/3 + g*t + 2/3*t**2.
2*(t + 1)*(t + 2)/3
Find c such that 2*c**3 - 40*c**4 + 4 - 4 + 38*c**4 = 0.
0, 1
Let w(b) be the third derivative of b**8/1848 - b**6/660 - 18*b**2. Factor w(s).
2*s**3*(s - 1)*(s + 1)/11
Let j(k) = -2*k + 14. Let y = 38 - 31. Let l be j(y). Factor 4/3*v**2 + 0 + l*v + 2/3*v**3.
2*v**2*(v + 2)/3
Let r(h) be the third derivative of -h**7/210 + h**5/30 - h**3/6 + 7*h**2. Factor r(a).
-(a - 1)**2*(a + 1)**2
Let j(s) be the third derivative of s**8/1176 - s**6/70 + 4*s**5/105 - s**4/28 - 34*s**2. Factor j(m).
2*m*(m - 1)**3*(m + 3)/7
Let i(u) be the second derivative of u**6/30 + 11*u. Determine s so that i(s) = 0.
0
Let z(s) be the second derivative of s**5/10 - s**3 + 2*s**2 - 30*s. Solve z(t) = 0.
-2, 1
Let z(p) = 7*p - 18. Let n be z(3). Let d be (-4)/(-10) + (-2)/30. Factor -d*g**2 - 1/3*g + 1/3 + 1/3*g**n.
(g - 1)**2*(g + 1)/3
Suppose o + 3*h = h + 12, -3*o = -2*h + 4. Suppose -4*l**2 - 5*l + 2*l**3 - 2*l**o + 0*l**2 - 2 + 11*l = 0. What is l?
1
Let p(l) be the second derivative of -l**7/11340 + l**5/540 + 7*l**4/12 + 6*l. Let b(v) be the third derivative of p(v). Factor b(d).
-2*(d - 1)*(d + 1)/9
Let g = -35 + 37. Let h(t) be the first derivative of -2/3*t**3 - 2 + g*t + t**2 - 1/2*t**4. Solve h(y) = 0.
-1, 1
Let c(v) = 3*v**2 - 3*v + 4. Let f(q) = -7*q**2 + 7*q - 9. Let n(l) = 9*c(l) + 4*f(l). Suppose n(u) = 0. What is u?
0, 1
Let l(u) = u**2 + 5 - 3*u + u + 0*u**2 + u. Let c be l(0). Factor 3/2*s**3 + 0 - 6*s**4 + 7/2*s**c + s**2 + 0*s.
s**2*(s - 1)**2*(7*s + 2)/2
Let d(k) be the third derivative of -k**6/1080 - 2*k**3/3 - 3*k**2. Let n(w) be the first derivative of d(w). Factor n(g).
-g**2/3
Factor 4/5*p**3 - 2*p + 8/5 - 14/5*p**2.
2*(p - 4)*(p + 1)*(2*p - 1)/5
Factor 28/3*q**2 - 56/3*q**4 - 4/3*q - 11*q**3 + 0 - 16/3*q**5.
-q*(q + 2)**2*(4*q - 1)**2/3
Suppose -12 = -3*u + 18. Let q = u + -6. Factor 2*h + q - 3*h**2 + 0 + h**2 + 0*h.
-2*(h - 2)*(h + 1)
Let z(f) be the first derivative of 2*f**6/15 + 2*f**5/5 + f**4/3 - 8*f + 5. Let s(c) be the first derivative of z(c). Factor s(t).
4*t**2*(t + 1)**2
Let t(v) be the first derivative of -v**7/735 + v**6/140 - v**5/70 + v**4/84 + 7*v**2/2 - 4. Let w(o) be the second derivative of t(o). Factor w(h).
-2*h*(h - 1)**3/7
Let d(o) be the third derivative of o**7/1050 - o**6/600 - o**5/300 + o**4/120 - 5*o**2. Factor d(c).
c*(c - 1)**2*(c + 1)/5
Suppose -3*p = -j - 3*j + 20, -3*j + 15 = 3*p. Let u(r) be the first derivative of 1 - 2/15*r**5 + 0*r**2 - 1/3*r**4 - 2/9*r**3 + p*r. Let u(l) = 0. What is l?
-1, 0
Let z(f) be the third derivative of 0*f**3 - 2*f**2 + 0 + 0*f - 1/8*f**4 + 1/20*f**5. Factor z(r).
3*r*(r - 1)
Let m(y) be the second derivative of 2*y**6/15 - 5*y**4/3 + 8*y**2 - 29*y. Suppose m(x) = 0. What is x?
-2, -1, 1, 2
Let j(x) = 9*x - 3. Let l(h) = -h**3 - 8*h + 4. Let v(p) = -4*j(p) - 3*l(p). Factor v(a).
3*a*(a - 2)*(a + 2)
Let u = 26 + -24. Let a(g) be the second derivative of -1/2*g**4 + 1/3*g**3 + 0 - 1/10*g**5 + u*g + 0*g*