y - o - 7 = 0, -6*y - o = -2*y - 9. Let b(u) be the first derivative of 2 + 2/3*u + 1/6*u**4 + u**y + 2/3*u**3. Find j, given that b(j) = 0.
-1
Let i be ((-16)/10)/(4/(-10)). Factor 0 - 16/3*k**i + 0*k - 2/3*k**2 + 11/3*k**3 + 7/3*k**5.
k**2*(k - 1)**2*(7*k - 2)/3
Let k be (-2)/(-4)*(-1 + 1). Let s = 3 - k. Suppose -3*f + 2*f**s + f + 0*f**3 = 0. Calculate f.
-1, 0, 1
Let f = -3 + 3. Suppose f = -3*t - 4*l, 0 = -2*t + 2*l + 11 + 3. Factor m**t - m**3 + 0*m**2 + 2*m**5 - m**3 - m**2.
m**2*(m - 1)*(m + 1)*(2*m + 1)
Let x(a) be the third derivative of a**9/362880 - a**8/60480 + a**7/30240 - a**5/60 - 6*a**2. Let y(r) be the third derivative of x(r). Factor y(m).
m*(m - 1)**2/6
Let s be -4*1 + 4/1. Let l(b) be the third derivative of 7/360*b**6 + 0*b + s - b**2 - 7/72*b**4 + 1/9*b**3 - 1/90*b**5. Solve l(y) = 0 for y.
-1, 2/7, 1
Let s(g) be the first derivative of -g**3/2 + 9*g**2/4 - 15. Factor s(i).
-3*i*(i - 3)/2
Let c(n) be the third derivative of 1/240*n**6 - n**2 + 0*n**5 + 1/840*n**7 + 0*n - 1/48*n**4 - 1/24*n**3 + 0. Solve c(u) = 0.
-1, 1
Suppose 3*r - 2*r - 2 = 0. Suppose r*b = 7*b. Factor -2/3*a**2 + b - 2/3*a**3 + 4/3*a.
-2*a*(a - 1)*(a + 2)/3
Suppose 8 = -z + 3*z. Let f(q) be the first derivative of 0*q**z + 0*q**3 - 2 - 1/20*q**5 + 0*q + 0*q**2. Factor f(u).
-u**4/4
Let q(z) = -2. Let l(o) = o**2 + 2. Let y be (-10)/15*(-18)/4. Let w(f) = y*q(f) + 2*l(f). Factor w(n).
2*(n - 1)*(n + 1)
Let i(q) be the third derivative of -2/45*q**5 + 0*q**3 - 1/45*q**6 + 1/56*q**8 + 1/35*q**7 + 4*q**2 + 0*q**4 + 0 + 0*q. Find t such that i(t) = 0.
-1, -2/3, 0, 2/3
Factor t + t**5 - 3*t**3 + 0*t**5 - 3*t**2 + t + t**4 + 2*t**2.
t*(t - 1)**2*(t + 1)*(t + 2)
Let a(n) be the third derivative of n**6/240 + n**5/48 + n**4/96 - n**3/12 - 4*n**2. Solve a(t) = 0.
-2, -1, 1/2
Let q be (9/(-6))/3*-8. Factor -4*h**4 - q*h**3 + h**2 + 4*h**3 + 3*h**4.
-h**2*(h - 1)*(h + 1)
Let p(t) be the first derivative of -2*t**5/85 - 5*t**4/34 - 4*t**3/17 + 4*t**2/17 + 16*t/17 + 10. Solve p(s) = 0 for s.
-2, 1
Let y(h) be the third derivative of 0 + 1/30*h**5 + 0*h - 3*h**2 - 1/3*h**3 + 0*h**4. Find l such that y(l) = 0.
-1, 1
Let x(i) = -21*i**2 + 3*i - 9. Let r(j) = -5*j**2 + j - 2. Suppose 2*n - 4 = -y, y + 5*n + 0*n - 13 = 0. Let d(g) = y*x(g) + 9*r(g). Factor d(w).
-3*w*(w - 1)
Let r = 10 + -8. Find n such that -3*n**2 - 4 + 0*n**3 + 2*n**3 + 9*n**2 - r*n - 2*n**4 = 0.
-1, 1, 2
Let q be 1/2*0/(5 + -3). Suppose 6*b**2 + 0 - 75/2*b**4 + q*b**3 + 0*b = 0. What is b?
-2/5, 0, 2/5
Let u be 117/(-63) - 1*-2. Let d(m) be the first derivative of 1/14*m**4 + 0*m + 0*m**3 - u*m**2 - 2. Factor d(s).
2*s*(s - 1)*(s + 1)/7
Let p = 3 - 5. Let f be 1 - p/4*-2. Let 0*x**2 + f*x**2 - 2*x**2 = 0. Calculate x.
0
Let f(a) be the second derivative of 3*a**2 - 3/40*a**5 + 0 + 4*a - 2*a**3 + 5/8*a**4. Suppose f(j) = 0. Calculate j.
1, 2
Let n(u) be the third derivative of u**5/15 - 7*u**2. Factor n(v).
4*v**2
Suppose 56*c - 157 - 67 = 0. Determine k so that 15/4*k**3 + 3/2 + 27/4*k**2 + 21/4*k + 3/4*k**c = 0.
-2, -1
Factor 3*s**5 + 2*s**4 + s**4 + 10*s**4 - 10*s**4.
3*s**4*(s + 1)
Let i = -24 - -26. Let f(y) be the third derivative of 1/40*y**5 + 0 + 1/48*y**4 + 1/420*y**7 + 0*y**3 + 1/80*y**6 + 0*y + 2*y**i. Factor f(c).
c*(c + 1)**3/2
Let g(s) = 3*s**4 + 2*s**3 - 12*s**2 - 20*s - 4. Let y(d) = 12*d**4 + 9*d**3 - 48*d**2 - 81*d - 15. Let l(k) = 15*g(k) - 4*y(k). Find r such that l(r) = 0.
-2, 0, 2
Let g(p) = 24*p - 9. Let v be g(2). Let n be v/(-65) + (-46)/(-10). Factor 0*i + 0*i**2 + 1/3*i**5 + 0 - 1/3*i**3 + 0*i**n.
i**3*(i - 1)*(i + 1)/3
Let o(x) be the second derivative of 1/36*x**4 + 3*x + 1/6*x**3 + 1/3*x**2 + 0. Factor o(t).
(t + 1)*(t + 2)/3
Let w(c) = -c**3 + 7*c**2 + 2*c - 4. Let g(i) = i**3 - 6*i**2 - i + 3. Let j(x) = 4*g(x) + 3*w(x). Factor j(m).
m*(m - 2)*(m - 1)
Factor -2/3*g**2 + 0 + 2/3*g.
-2*g*(g - 1)/3
Suppose -9*a - 4 = -10*a. Suppose 4*p = u - 5*u + 8, a*p + 7 = u. Factor 6*h**2 + 0 + 15/2*h**3 + u*h**4 + 3/2*h.
3*h*(h + 1)**2*(2*h + 1)/2
Suppose -2 = -5*y + 13. Factor -4*h + 3*h**4 - 3*h**y + 4*h.
3*h**3*(h - 1)
Find q such that 3*q**3 + 20 + 2*q**3 + 24*q**2 - 3*q**3 + 30*q + 12*q = 0.
-10, -1
Let i(d) = d**2. Let f(v) = -v + 5. Let q(g) = -f(g) - 5*i(g). Let m(x) = 6*x**2 + 6. Suppose 0 = -0*r + r + 4. Let s(p) = r*q(p) - 3*m(p). Factor s(c).
2*(c - 1)**2
Let w(f) be the third derivative of 3*f**8/112 - 13*f**7/70 + 11*f**6/20 - 9*f**5/10 + 7*f**4/8 - f**3/2 - 11*f**2. Solve w(r) = 0.
1/3, 1
Let q(c) be the first derivative of -c**6/900 + c**5/300 - c**3 - 3. Let o(h) be the third derivative of q(h). Determine n, given that o(n) = 0.
0, 1
Let z(j) be the third derivative of j**7/8820 - j**6/630 + j**5/105 - j**4/24 - 2*j**2. Let b(w) be the second derivative of z(w). Find s, given that b(s) = 0.
2
Let h = -26674 - -1360417/51. Let c = -3/17 + h. Factor 2/3*r**2 - c*r + 0.
2*r*(r - 1)/3
Let m = -4 - -6. Solve -t**5 + t**5 - 2*t**4 - 2*t**3 - 2*t**m - 1 - t**5 + 5*t**4 + 3*t = 0 for t.
-1, 1
Let c(s) = -s**4 + s**3. Let j(r) = r**5 + r**4 + 16*r**3 + 6*r**2. Let o(m) = 5*c(m) - j(m). Factor o(y).
-y**2*(y + 1)*(y + 2)*(y + 3)
Let j(a) be the second derivative of -25*a**4/6 + 55*a**3/6 + 15*a**2 - 44*a. Let j(u) = 0. What is u?
-2/5, 3/2
Factor -2/9*k**3 + 0*k - 8/9*k**2 + 0.
-2*k**2*(k + 4)/9
Let p(g) be the second derivative of g**8/4200 - g**3/2 + g. Let q(f) be the second derivative of p(f). Determine z, given that q(z) = 0.
0
Let k(t) = 2*t + 16. Let c be k(-10). Let q be 0/((1 - c)/5). Factor g**4 + q + 2/3*g**3 + 0*g - 1/3*g**2.
g**2*(g + 1)*(3*g - 1)/3
Let y(n) be the first derivative of -n**7/280 + 3*n**5/40 - n**4/4 - 2*n**3/3 + 1. Let m(z) be the third derivative of y(z). Factor m(a).
-3*(a - 1)**2*(a + 2)
Let k be 11/66*(0 - -2). Let h(z) be the first derivative of 1/2*z**2 - 1 - 4/9*z**3 + k*z. Determine j so that h(j) = 0.
-1/4, 1
Suppose 4*d - 11 = -3. Factor 0*p + 0 - 2/7*p**d.
-2*p**2/7
Let f(n) = 2*n**2 - 6. Let x(i) = i + 7. Let s(m) = -m**2 - 2*m - 7. Let o(p) = -2*s(p) - 3*x(p). Let g(w) = -3*f(w) + 2*o(w). Factor g(r).
-2*(r - 2)*(r + 1)
Let p = 5127/11 + -465. Find g such that 18/11 + 2/11*g**2 + p*g = 0.
-3
Let d be (5 + -3)/(1*-2). Let n be 6/(-9)*-3*d. Let g(x) = x**2 - x + 2. Let c(m) = -2*m**2 + 4*m - 7. Let p(a) = n*c(a) - 7*g(a). Factor p(j).
-j*(3*j + 1)
Let c(z) be the second derivative of -z**7/2520 + z**5/360 - 2*z**3/3 - z. Let i(s) be the second derivative of c(s). Factor i(o).
-o*(o - 1)*(o + 1)/3
Let z(a) = -a**3 - 5*a**2 + 4*a - 5. Let f be z(-6). Let q = f + -4. What is i in 2*i**4 + 0*i**3 + 2*i**4 + i**q + 4*i**5 = 0?
-1/2, 0
Suppose -5*t - 12 = 3*u, 3*t + 5*u + 16 = -4. Let g = 2/407 - -2027/1628. Suppose -g*m**3 - 1/4*m**4 - m - 2*m**2 + t = 0. What is m?
-2, -1, 0
Let a(s) be the first derivative of -1/16*s**6 + 0*s + 7 - 7/32*s**4 + 1/5*s**5 + 1/12*s**3 + 0*s**2. Solve a(f) = 0 for f.
0, 2/3, 1
Let b be 207/342 + 2/(-19). Suppose 1/2*h**2 - b*h - 1 = 0. Calculate h.
-1, 2
Let j(b) be the second derivative of b**7/378 + b**6/270 - b**5/60 - b**4/108 + b**3/27 - 42*b + 1. Factor j(i).
i*(i - 1)**2*(i + 1)*(i + 2)/9
Factor -1/8*q**3 + 1/2*q + 1/2 - 1/8*q**2.
-(q - 2)*(q + 1)*(q + 2)/8
Find q, given that 3/2 - 3/2*q**2 + 0*q = 0.
-1, 1
Suppose -2*m + 16 = m + 2*c, -3*m = -3*c + 9. Determine l, given that -m*l - 15 + 15 - l**2 = 0.
-2, 0
Let s(p) be the second derivative of -7/51*p**3 + 0 - 5*p + 1/255*p**6 - 1/34*p**5 + 3/34*p**4 + 2/17*p**2. Solve s(z) = 0 for z.
1, 2
Let b(a) be the third derivative of -a**8/112 - 3*a**7/70 - 3*a**6/40 - a**5/20 - 27*a**2. Let b(s) = 0. Calculate s.
-1, 0
Let n(u) = u**3 + 13*u**2 + 11*u - 10. Let y be n(-12). Suppose 7 - 11 = -y*q. Factor 2/3 + 2/3*l**3 - 2/3*l**q - 2/3*l.
2*(l - 1)**2*(l + 1)/3
Find o such that -1/5*o**2 + 16/5 + 3*o = 0.
-1, 16
Let w = 12 + -12. Let r(q) be the third derivative of w*q**4 + 0 + q**2 + 0*q**3 + 1/30*q**5 + 0*q. Factor r(v).
2*v**2
Let s(v) = v**3 - 9*v**2 + 10*v - 11. Let p be s(8). Suppose 3*i - 5*n = 21, p*i + 3*n - 5 = -4. Let 1 + k - k**3 + 2 + 2*k**i - 5 = 0. Calculate k.
-1, 1, 2
Let -25/2*x**3 + 0*x + 0 + 5/2*x**2 = 0. Calculate x.
0, 1/5
Let n(u) be the second derivative of -7*u**6/30 + 37*u**5/20 - 11*u**4/2 + 22*u**3/3 - 4*u**2 - 12*u. Factor n(g