 - 7 - 2*z**2 + 0 + 2.
-2*(z + 1)*(z + 7)
Let g = -106 + 108. Factor -3/4*l**g - 1 - 2*l.
-(l + 2)*(3*l + 2)/4
Suppose -s - 36 = -41. Factor -4/7*x**4 - 2/7*x**s + 4/7*x**2 + 0 + 0*x**3 + 2/7*x.
-2*x*(x - 1)*(x + 1)**3/7
Let g(y) be the third derivative of y**9/30240 - y**8/3360 + y**7/840 - y**6/360 - 7*y**5/60 + 7*y**2. Let a(v) be the third derivative of g(v). Factor a(i).
2*(i - 1)**3
What is s in -5*s - 58*s**5 + 4*s**3 + 8*s**2 - 4 + 0*s**4 + 56*s**5 + 3*s - 4*s**4 = 0?
-2, -1, 1
Let m(w) be the first derivative of 1/33*w**6 - 2/11*w - 4/33*w**3 - 3/11*w**2 - 4 + 1/11*w**4 + 6/55*w**5. Factor m(d).
2*(d - 1)*(d + 1)**4/11
Let u = 163 - 813/5. Let -2/5*y + 4/5 - u*y**2 = 0. Calculate y.
-2, 1
Let r(l) be the first derivative of 1/60*l**6 + 4 + 1/30*l**5 + 0*l - 1/6*l**4 + 0*l**3 + 1/2*l**2. Let s(h) be the second derivative of r(h). Factor s(o).
2*o*(o - 1)*(o + 2)
Let d(b) be the first derivative of -2*b**3/3 - 2*b**2 + 13. Factor d(r).
-2*r*(r + 2)
Let o(m) be the second derivative of -m**6/60 - m**5/10 - m**4/6 + 3*m**2/2 + m. Let w(h) be the first derivative of o(h). Let w(a) = 0. What is a?
-2, -1, 0
Let y(r) = -r - 1. Let b be y(-2). Let s be -1 + 3 + b + -1. Determine o so that -s*o**4 + 4*o**4 + 0 + 0 = 0.
0
Let l(i) be the first derivative of 3*i**2 - 9*i - 3 - 1/3*i**3. Factor l(r).
-(r - 3)**2
Let h(o) be the first derivative of -2*o**6/9 - o**5/3 + o**4/4 + 5*o**3/9 + o**2/6 + 1. What is p in h(p) = 0?
-1, -1/4, 0, 1
Let x(t) be the third derivative of t**7/1050 + t**6/24 + 18*t**5/25 + 88*t**4/15 + 256*t**3/15 + 2*t**2 - 32*t. Factor x(y).
(y + 1)*(y + 8)**3/5
Determine o, given that 1/9*o**4 + 25/9*o**2 + 0 - 10/9*o**3 + 0*o = 0.
0, 5
Let l(s) be the first derivative of s**5/15 - s**4/3 + 5*s**3/9 - s**2/3 - 8. Let l(h) = 0. What is h?
0, 1, 2
Let k = 15 - 25. Let q = k - -15. Factor 4*f - f - f + 4*f**4 - 2*f**q - 4*f**2.
-2*f*(f - 1)**3*(f + 1)
Let x(g) be the first derivative of -g**6/15 + 2*g**5/5 - 5*g**4/6 + 2*g**3/3 - 7*g + 1. Let v(n) be the first derivative of x(n). Factor v(f).
-2*f*(f - 2)*(f - 1)**2
Let f(z) be the first derivative of 7*z**3 + 0*z**2 - 9/2*z**4 - 3*z + 3. Factor f(c).
-3*(c - 1)*(2*c - 1)*(3*c + 1)
Let o(g) = -4*g**5 - 5*g**4 - g**3 - 17*g**2 - 4*g - 5. Let m(p) = -p**5 - p**4 - 4*p**2 - p - 1. Let w(n) = -9*m(n) + 2*o(n). Find r, given that w(r) = 0.
-1, 1
Let d(b) be the first derivative of b**4/2 - 4*b**3/3 - b**2 + 4*b - 7. Determine v so that d(v) = 0.
-1, 1, 2
Let d = 587881/360 + -1633. Let n(r) be the third derivative of 0*r + 0*r**4 - r**2 - 1/180*r**5 + 0 - d*r**6 + 0*r**3. Find j such that n(j) = 0.
-1, 0
Let h(s) be the first derivative of s**4/12 + 5*s**3/18 - s**2/4 - 37. Let h(w) = 0. Calculate w.
-3, 0, 1/2
Let k be 2 - (4 + -5 - -1). Factor 0*l - 3/4*l**4 + 3/4*l**k + 0*l**3 + 0.
-3*l**2*(l - 1)*(l + 1)/4
Let p(m) be the first derivative of m**6/18 - 2*m**5/15 - m**4/4 + 4*m**3/9 + 2*m**2/3 - 3. Find n such that p(n) = 0.
-1, 0, 2
Let v(s) = -s**2 + 22*s - 119. Let m be v(11). Solve 1/5*r**5 - 1/5*r**3 + 4/5 + 3/5*r**4 - 7/5*r**m + 0*r = 0.
-2, -1, 1
Let k = -6 - -8. Let 2*r**k - 4*r**3 + 0*r**4 + 2*r**3 + 2*r - 4*r**4 + 2*r**4 = 0. Calculate r.
-1, 0, 1
Let -4/7*a**2 - 2/7*a + 0 - 2/7*a**3 = 0. What is a?
-1, 0
Let y(o) be the third derivative of 25*o**8/1848 - 29*o**7/231 + 127*o**6/330 - 14*o**5/33 + 2*o**4/11 + 68*o**2. Find d such that y(d) = 0.
0, 2/5, 2, 3
Factor -16*f**3 - 4096*f + 384*f**2 + 1/4*f**4 + 16384.
(f - 16)**4/4
Let a(g) = 25*g**3 - 95*g**2 + 21*g. Let b(c) = -26*c**3 + 94*c**2 - 22*c. Let v(w) = -2*a(w) - 3*b(w). Factor v(h).
4*h*(h - 3)*(7*h - 2)
Suppose 0 = 27*s - 26*s. Factor 2/3 + s*a - 2/3*a**2.
-2*(a - 1)*(a + 1)/3
Let r(q) be the first derivative of q**3/3 + 3*q**2/2 - 6*q - 1. Let i be r(-5). Factor -2/9*c**2 + 2/9*c**3 + 0 - 2/9*c + 2/9*c**i.
2*c*(c - 1)*(c + 1)**2/9
Let h be 20/(-5) + 8 + -4. Let h + 0*r + 4/5*r**3 - 2/5*r**2 = 0. Calculate r.
0, 1/2
Let f(h) = h**2 - h - 1. Let r(s) = -s**2 + s + 6. Let y(d) = -6*f(d) - r(d). Find q such that y(q) = 0.
0, 1
Let h(f) = -f**3 - 6*f**2 + f + 8. Let s be h(-6). Let j(n) be the first derivative of -1 + 1/5*n**5 - 1/4*n**4 + 1/2*n**s + 0*n - 1/3*n**3. Factor j(r).
r*(r - 1)**2*(r + 1)
Suppose 16 = y - 4*s, 4*y - 2*s - 3 - 5 = 0. Suppose -2*v + 4 = -y*v. Factor -3*i**2 + i**2 + 0*i + 0*i**v + 2*i.
-2*i*(i - 1)
Let j = 15 + -15. Let q(l) be the second derivative of 0*l**2 + j + 1/30*l**5 - 2*l + 0*l**4 + 0*l**3 + 1/45*l**6. Solve q(r) = 0 for r.
-1, 0
Let d be (-88)/(-12) + (-2)/(-3). Suppose 44*c + d = 48*c. Suppose -q**c - 1/3 + q + 1/3*q**3 = 0. Calculate q.
1
Suppose -2*p + 2*l + 8 = 0, -4*l = 2*p - 2 - 0. Factor 18*j**4 + p*j**4 + 0*j**4 + 6*j**2 - 27*j**3.
3*j**2*(j - 1)*(7*j - 2)
Let k(u) = u**3 + 6*u**2 + 6*u + 6. Let a be k(-5). Suppose -d + 0 + a = 0. Factor 3 - d + o**2 + 2*o + o.
(o + 1)*(o + 2)
Let w(s) be the first derivative of -2*s**6/3 + 4*s**5 - 7*s**4 + 4*s**3 + 35. Factor w(u).
-4*u**2*(u - 3)*(u - 1)**2
Suppose 8 = 5*z + 3. Let l(k) be the first derivative of -1/3*k**3 - z - 1/2*k**2 + k + 1/4*k**4. Let l(m) = 0. What is m?
-1, 1
Let m(g) be the second derivative of -2*g**6/15 - 4*g**5/5 - 2*g**4 - 8*g**3/3 - 2*g**2 + 24*g. Find o, given that m(o) = 0.
-1
Let j(n) be the first derivative of -n**6/3 - 24*n**5/35 - 3*n**4/14 + 4*n**3/21 - 7. Factor j(s).
-2*s**2*(s + 1)**2*(7*s - 2)/7
Suppose -3*f = 5*c - 40, -2*c + 6 = 4*f - 24. Factor 4*k**2 + k**f + k**5 - 2*k + 0*k - 4*k**4.
2*k*(k - 1)**3*(k + 1)
Let g(i) = i**5 + i**3 - 1. Let y(p) = 2*p + 8*p**5 + 15*p**3 + 8*p**2 - 1 - 2 + 8*p**4 - 3*p**5. Let r(b) = 3*g(b) - y(b). Factor r(o).
-2*o*(o + 1)**4
Determine s, given that 0*s - 3*s + 2*s**5 - 4*s**3 - 7*s + 12*s = 0.
-1, 0, 1
Let x(m) be the third derivative of -m**8/5040 - m**7/840 - m**6/360 - m**5/360 + m**3/3 - m**2. Let r(b) be the first derivative of x(b). Factor r(d).
-d*(d + 1)**3/3
Let j(f) be the third derivative of -f**6/480 + f**5/16 - 21*f**4/32 + 49*f**3/24 - 34*f**2. Find h, given that j(h) = 0.
1, 7
Suppose 12/7*c + 3/7*c**2 + 9/7 = 0. What is c?
-3, -1
Let p(o) = -o + 1. Let u(f) = f**2 + 6*f + 29. Let c(h) = 4*p(h) - u(h). Factor c(v).
-(v + 5)**2
Let b = -2 - 1. Let q = b + 7. Factor -2 - 3*a - q*a**2 + 2*a**2 - a.
-2*(a + 1)**2
Suppose 0 = 13*m - 5*m - 40. Let u(p) be the third derivative of 1/120*p**6 + 0*p**4 - p**2 - 1/60*p**m + 0 + 0*p + 0*p**3. Find f, given that u(f) = 0.
0, 1
Let h = -1693/5 + 344. Find k such that h + 3/5*k**2 - 18/5*k = 0.
3
Let g(s) be the third derivative of s**6/120 + 3*s**5/20 + 9*s**4/8 + 9*s**3/2 - s**2. Let g(r) = 0. What is r?
-3
Let y = -1 - -3. Determine z, given that y*z**3 + 17*z**2 - 17*z**2 + 0*z - 2*z = 0.
-1, 0, 1
Let w(s) be the third derivative of -s**5/30 - s**4/3 - 4*s**3/3 - 5*s**2. Determine g so that w(g) = 0.
-2
Suppose 3*g + 2 - 8 = 0, -14 = -4*q + g. What is n in -3/2*n**q - 6*n - 3/2 - 6*n**3 - 9*n**2 = 0?
-1
Let z be -3 + (1 - (6 + -4)). Let j be ((-8)/50)/(z/10). Find l such that -4/5*l + j + 2/5*l**2 = 0.
1
Factor 0*r - 1/5*r**2 + 0 + 1/5*r**4 + 0*r**3.
r**2*(r - 1)*(r + 1)/5
Let n = 67 + -64. Factor -50/11*g**4 - 8/11*g**2 + 40/11*g**n + 0*g + 0.
-2*g**2*(5*g - 2)**2/11
Let p be 4/(-14) + (-3)/(42/(-8)). Factor -2/7*r - p + 2/7*r**2 + 2/7*r**3.
2*(r - 1)*(r + 1)**2/7
Let w(k) be the second derivative of 3*k - 1/18*k**4 - 1/60*k**5 + 0 - 1/18*k**3 + 0*k**2. Find i, given that w(i) = 0.
-1, 0
Let n(u) = -4*u**2 + u**3 + u**2 - 4*u + 1 - u**2 - 2. Let o be n(5). Find m such that 0*m**3 - 4/9*m**2 - 2/9*m**5 + 0 + 4/9*m**o + 2/9*m = 0.
-1, 0, 1
Suppose -g = g - 6. Solve 2*y + 0*y**3 - y**3 + 1 + 0*y**g - y - y**2 = 0.
-1, 1
Let o(s) = -s**3 + s**2. Let g(v) = v**3 - 2*v**2. Let i(x) = -3*g(x) - 2*o(x). Let a be i(4). Factor 1/2*y**5 + 3/2*y**3 + a - 3/2*y**4 + 0*y - 1/2*y**2.
y**2*(y - 1)**3/2
Let l = 66/31 + -167/93. Factor 2/3*m**2 + 0*m + 0*m**4 - l*m**5 + m**3 + 0.
-m**2*(m - 2)*(m + 1)**2/3
Factor 0 + 2/11*t**2 - 6/11*t.
2*t*(t - 3)/11
Solve 5 + 179*i - 212*i - 18*i**2 + 13 + 33*i**3 = 0.
-1, 6/11, 1
Let d(q) be the second derivative of q**8/4200 + q**3/3 - 2*q. Let o(h) be the second derivative of d(h). Suppose o(u) = 0. What is u?
0
Let l = -3388/9 - -377. Solve -l*o**3 + 8/9*o**2 + 4/9*o + 0 = 0.
-2/