u) = -u**2 - u - 2. Let v(a) = 2*j(a) - q(a). Factor v(b).
(b + 1)*(b + 2)
Let s = 15 - 11. Let -6 + 3*v**2 - s + 2 - 3*v + 2 = 0. What is v?
-1, 2
Let b(k) be the second derivative of -k**5/30 - k**4/9 - 3*k. Suppose b(x) = 0. Calculate x.
-2, 0
Suppose 3*j + 5 - 14 = -2*m, -9 = -3*j - m. Let 3*q + 3*q**j - q**3 - 13*q + 6 + 2*q**2 = 0. Calculate q.
-3, 1
Solve 32*f + 16*f - 6*f + 18*f + 300 + 3*f**2 = 0.
-10
Let z be -5 + (-3)/9*0. Let n(h) = 3*h**3 - 4*h**2 - 7*h + 5. Let b(r) = -2*r**3 + 2*r**2 + 4*r - 3. Let j(t) = z*b(t) - 3*n(t). Factor j(y).
y*(y + 1)**2
Let u(j) be the third derivative of j**5/180 + j**4/18 + 2*j**3/9 + 19*j**2. Determine k, given that u(k) = 0.
-2
Solve -10*v - 3*v**3 + 10*v**2 - 10*v**2 + 13*v = 0 for v.
-1, 0, 1
Factor 0*s - 6/11*s**4 - 6/11*s**3 - 2/11*s**2 + 0 - 2/11*s**5.
-2*s**2*(s + 1)**3/11
Let o(y) be the first derivative of y**3 - 3*y**2 + 6. Suppose o(a) = 0. Calculate a.
0, 2
Let n(f) be the first derivative of -5*f**3/3 + f**2 + 2. Solve n(t) = 0.
0, 2/5
Let z be ((-4)/6)/((-2)/15). Let a(i) be the second derivative of 0 + 1/5*i**2 + 1/5*i**3 + 1/10*i**4 + 1/50*i**z + 2*i. Factor a(q).
2*(q + 1)**3/5
Let h(x) be the first derivative of -x + 1/15*x**6 + 0*x**5 + 0*x**2 + 0*x**3 + 0*x**4 + 2. Let a(s) be the first derivative of h(s). Factor a(i).
2*i**4
Let h be (3/(-8))/((-1)/((-4)/(-6))). Factor -h*i**3 + 5/4*i - 1/2 - 3/4*i**2 + 1/4*i**4.
(i - 1)**3*(i + 2)/4
Let p = 25 - 3. Let d = 36 - p. Factor 2*a + d*a**3 + 2*a**2 - 2 + 0*a - 16*a**3.
-2*(a - 1)**2*(a + 1)
Let h be (-4)/(-3)*(-1637)/(-12). Let j = h + -181. Suppose 0*s + 0 - 2/9*s**3 + 2/3*s**5 - j*s**4 + 4/9*s**2 = 0. What is s?
-2/3, 0, 1
Let v be 3/1 + 2422/210. Let b = -66/5 + v. Suppose -2/3*j**4 - b*j + 4/3*j**3 + 2/3 + 0*j**2 = 0. What is j?
-1, 1
Let p(f) = f. Let y be p(-8). Let w be (y/(-6))/((-6)/(-7)). Suppose -4/9 - 2*z - w*z**2 = 0. Calculate z.
-1, -2/7
Let c(m) be the second derivative of -m**7/63 + m**6/9 - 4*m**5/15 + 2*m**4/9 + 16*m. Factor c(i).
-2*i**2*(i - 2)**2*(i - 1)/3
Let b = 158 - 315/2. Determine r, given that -b*r**3 + 0*r**2 + 0*r - 1/4*r**4 + 0 = 0.
-2, 0
Let s(t) be the first derivative of 1/24*t**4 + 0*t**2 + 1/30*t**5 - 1/18*t**3 - 1/36*t**6 - 3 + 0*t. Let s(c) = 0. Calculate c.
-1, 0, 1
Let l = 6 - 5. Let z be l/(3/(-9)) - -6. Factor 2/5*v**2 + 0 + 0*v - 2/5*v**z.
-2*v**2*(v - 1)/5
Let z(j) = -2*j**2 + 4*j**2 - j**2 - 1. Let s(q) = -3*q**2 + 3. Suppose -93 = 3*i - 30. Let v(f) = i*z(f) - 6*s(f). Determine g, given that v(g) = 0.
-1, 1
Let t = 28455/18656 + 7/1166. Let y = -1/32 + t. Factor -y*m + 1/2*m**2 + 1.
(m - 2)*(m - 1)/2
Let u(p) = -3*p**4 - 10*p**3 - 7*p**2 + 2*p. Let r(w) = -11*w**4 - 40*w**3 - 29*w**2 + 9*w. Let z(s) = -2*r(s) + 9*u(s). Solve z(l) = 0.
-1, 0
Let m(l) be the first derivative of 0*l**2 + 4/3*l**3 + 0*l + l**4 - 5. Determine d so that m(d) = 0.
-1, 0
Let k(c) be the third derivative of c**9/10584 - c**8/5880 - c**7/1470 - c**3/3 + 5*c**2. Let v(l) be the first derivative of k(l). Factor v(m).
2*m**3*(m - 2)*(m + 1)/7
Let s(i) be the second derivative of -5*i**4/12 - 85*i**3/6 - 40*i. Factor s(y).
-5*y*(y + 17)
Find u, given that -32/17 + 24/17*u**2 - 8/17*u + 2/17*u**4 + 14/17*u**3 = 0.
-4, -2, 1
Suppose 13 = 5*o + h + 2*h, 5*o - 2*h - 33 = 0. Let n be 2/(-1)*3/(-2). Let 1/2 + 1/2*g**o + g**2 - 3/2*g**4 - 3/2*g + g**n = 0. What is g?
-1, 1
Factor -8*o**4 - 19*o**2 + 50*o**2 - 2*o - 25*o**2.
-2*o*(o + 1)*(2*o - 1)**2
Suppose -1/2*p - 9/4*p**2 - 5/4*p**4 - 3*p**3 + 0 = 0. What is p?
-1, -2/5, 0
Let j(r) be the first derivative of -r**3/21 + 10*r**2/7 - 100*r/7 + 1. Solve j(l) = 0.
10
Let f = -6 + 8. Factor 5*m**3 - m**3 + f*m**3 + 3*m**4 + 3*m**2.
3*m**2*(m + 1)**2
Factor 3*q**4 - q**2 + q**2 - 4 + 5*q**4 - 4*q**2 - 2*q**5 + 10*q - 8*q**3.
-2*(q - 2)*(q - 1)**3*(q + 1)
Let c(r) be the second derivative of r**7/70 + r**6/50 - 3*r**5/100 - r**4/20 - 21*r. Factor c(q).
3*q**2*(q - 1)*(q + 1)**2/5
Let d = 742/5 - 2216/15. Find v such that 0 - 7/6*v**3 + d*v**2 + 2/3*v + 1/2*v**5 - 2/3*v**4 = 0.
-1, -2/3, 0, 1, 2
Factor -4*g**2 + 0 - 1/2*g - 8*g**3.
-g*(4*g + 1)**2/2
Suppose -4 = v - 2. Let z = v - -5. Factor -c**2 - 3*c**3 + 5*c**3 - z*c**3.
-c**2*(c + 1)
Determine d, given that 1/9*d**3 - 4/9*d**2 - 5/9*d + 0 = 0.
-1, 0, 5
Let v(j) be the third derivative of j**8/84 + 2*j**7/105 - j**6/30 - j**5/15 - 6*j**2. Find y, given that v(y) = 0.
-1, 0, 1
Let r(c) be the second derivative of c**5/40 - c**4/24 - c**3/12 + c**2/4 + 9*c. Factor r(j).
(j - 1)**2*(j + 1)/2
Let -2/7*t**3 + 8/7 - 2*t**2 + 0*t + 2/7*t**5 + 6/7*t**4 = 0. Calculate t.
-2, -1, 1
Factor 0 + 0*a - 2/13*a**2 + 2/13*a**4 + 2/13*a**5 - 2/13*a**3.
2*a**2*(a - 1)*(a + 1)**2/13
Let b be (-201)/(-9 - 20/(-5)). Let q = b - 40. Suppose 1/5*u**2 + 1/5*u - 1/5 - q*u**3 = 0. Calculate u.
-1, 1
Factor 2/5*n**2 - 2/5 + 0*n.
2*(n - 1)*(n + 1)/5
Suppose 2 + 10 = 4*j. Let p(w) be the third derivative of -1/30*w**5 + 0*w - 1/12*w**4 + 0 + j*w**2 + 0*w**3. Factor p(c).
-2*c*(c + 1)
Factor 35*b + 11*b**2 + 16 + 5 + 10 - 6 + b**3.
(b + 1)*(b + 5)**2
Let s = 3 + -4. Let b be s + (2 - (-6)/(-9)). What is g in -1/3*g**4 + 1/3*g + 0 - 1/3*g**3 + b*g**2 = 0?
-1, 0, 1
Let q**3 + q**4 - q**2 + q**3 + 5*q**2 - 3*q**2 = 0. Calculate q.
-1, 0
Let p(x) be the first derivative of x**4/8 - x**2 - 20. What is s in p(s) = 0?
-2, 0, 2
Let c(z) = z**4 + z**2 - z - 1. Let h(d) = -17*d**4 - 46*d**3 - 43*d**2 - 5*d + 3. Let m(t) = -6*c(t) - 2*h(t). Solve m(y) = 0.
-2, -1, -2/7, 0
Let f(t) be the first derivative of t**4/4 - 8*t**3/3 + 3*t**2 + 7*t - 11. Let n be f(7). Factor n + 1/5*d**2 - 1/5*d.
d*(d - 1)/5
Let g(d) = d - 6. Suppose -3*n = -0*n - 24. Let q be g(n). Factor -2 - b**3 + q.
-b**3
Let h = 211/5 + -42. Factor 3/5*n + h*n**2 + 2/5.
(n + 1)*(n + 2)/5
Find y such that -9/2*y**2 - 3/2*y**5 - 2*y + 11/2*y**3 + 1/2*y**4 + 2 = 0.
-2, -2/3, 1
Let y(g) = 2*g**2 - 11*g + 9. Let p(i) = -i**2 + 5*i - 4. Let z(o) = -2*o**2 + 2*o + 2. Let u be z(3). Let v(r) = u*p(r) - 4*y(r). Factor v(a).
2*(a - 2)*(a - 1)
Let t = -68/11 - -147/22. Let r**2 - 1/2*r**4 + 0 + 0*r + t*r**3 = 0. Calculate r.
-1, 0, 2
Let x(m) be the third derivative of 0*m + 1/420*m**6 - 1/21*m**3 + 1/210*m**5 - 1/84*m**4 + 0 + 3*m**2. Find c, given that x(c) = 0.
-1, 1
Let x(f) = f**3 - 7*f**2 + 5*f + 8. Let u be x(6). Let l(c) be the second derivative of 0 - 1/24*c**4 - c - 1/12*c**3 + 0*c**u. What is z in l(z) = 0?
-1, 0
Let m(b) be the third derivative of b**9/100800 - b**7/8400 + b**5/60 + 3*b**2. Let v(z) be the third derivative of m(z). Factor v(x).
3*x*(x - 1)*(x + 1)/5
Factor 0 + 2/7*z**2 + 6/7*z.
2*z*(z + 3)/7
Suppose 8*i + 2 = 2. Let j(b) be the second derivative of 0 + 0*b**2 + i*b**3 + b - 1/72*b**4. What is d in j(d) = 0?
0
Find c, given that 1/4*c**5 + 1/4*c + 0 - 1/2*c**3 + 0*c**2 + 0*c**4 = 0.
-1, 0, 1
Let o = -3 - -6. Suppose 3*l - 8 = -l. Factor -2*h**o + 4*h**3 + 10*h + 8*h**l + 4 + 0.
2*(h + 1)**2*(h + 2)
Let m be 3*93/90 + -3. Let p = m + 2/5. Let 1/2*n**2 + p + n = 0. Calculate n.
-1
Find l, given that -1/3*l**2 + 2/3*l + 0 = 0.
0, 2
Let w be (-5)/(-2)*-2*(-8)/10. Let n(h) be the second derivative of -3/5*h**5 - h**3 + 0 - 3/2*h**2 - h + 7/4*h**w. Suppose n(c) = 0. What is c?
-1/4, 1
Factor -2*n**2 + n + 2*n - n.
-2*n*(n - 1)
Let d(r) be the third derivative of r**9/22680 - r**8/3360 + r**7/1890 - r**4/12 + 2*r**2. Let z(y) be the second derivative of d(y). Factor z(m).
2*m**2*(m - 2)*(m - 1)/3
Find s such that -6*s**5 - 9/2*s**2 - 3/2*s + 15/2*s**3 + 0 + 9/2*s**4 = 0.
-1, -1/4, 0, 1
Let r = -85 - -88. Let g**r + g + 0 + 5/2*g**2 = 0. Calculate g.
-2, -1/2, 0
Let l(c) be the first derivative of c**3/3 - 11*c**2/2 - 12*c - 62. Factor l(n).
(n - 12)*(n + 1)
Suppose -2/7*k - 6/7*k**3 - 2/7*k**4 + 0 - 6/7*k**2 = 0. What is k?
-1, 0
Let u(x) be the second derivative of -3*x**5/20 + x**4/2 - x**3/2 + x**2/2 - x. Let f(y) be the first derivative of u(y). Factor f(s).
-3*(s - 1)*(3*s - 1)
Factor -10*s**2 + 6 - 7*s**4 + 20*s + 34*s**2 + 9*s**4 + 11*s**3 + s**3.
2*(s + 1)**3*(s + 3)
Suppose -p + 6*p = -15, 4*p + 2 = -5*w. Let b(v) = -v + 3. Let c be b(-3). Factor -2*q**w - 3 - c + 1 - 3*q - 5*q.
-2*(q + 2)**2
Let p be ((-16)/(-6))/((-10)/(-15)). Let b be 10/p*(-4)/(-45). Suppose -8/9 - b*n**2 - 