883820/9. Let z = r - -249. Suppose -z*v**3 + 2/9*v**2 + 0*v + 0 = 0. Calculate v.
0, 1
Let o(a) be the first derivative of 0*a - 1/5*a**5 - 1/4*a**4 + 1/3*a**3 - 2 + 1/6*a**6 + 0*a**2. Suppose o(i) = 0. What is i?
-1, 0, 1
Suppose 2*j = -3*j + 30. Factor -2*p**3 + j*p**2 - p**4 - p**3 - 7*p**2 + 5*p**3.
-p**2*(p - 1)**2
Let a(j) = -26*j**3 + 6*j**2 + 10*j - 11. Let z(w) = 7*w**2 + 2 + w - 3*w - 8*w**2 + 5*w**3. Let i(h) = -2*a(h) - 11*z(h). Solve i(y) = 0 for y.
-1, 0, 2/3
Factor x**4 - 2*x - 3*x**2 + 3*x**2 + 3*x**3 - x**2 - x**5.
-x*(x - 2)*(x - 1)*(x + 1)**2
Let f(l) = -l**2 + 3*l + 4. Let u be f(-3). Let i be 6/28 + (-4)/u. What is h in -i - 3/4*h - 1/4*h**2 = 0?
-2, -1
Let c(r) be the third derivative of r**5/300 - r**4/60 + r**3/30 + 2*r**2. Find q, given that c(q) = 0.
1
Suppose 0 = -l + 5*n + 32, 0*n - 2*n = 3*l - 11. Let g(i) = i**3 - 6*i**2 - 6*i - 3. Let d be g(l). Factor d*y**2 - 7*y**2 + y**2.
-2*y**2
Let g be (1/4 + 0)/1. Let d(o) be the third derivative of -1/14*o**7 - 3/112*o**8 - 2/3*o**3 + 0 + g*o**5 + 1/24*o**6 - 2*o**2 + 0*o**4 + 0*o. Factor d(w).
-(w + 1)**3*(3*w - 2)**2
Let y(h) be the third derivative of -h**8/168 + h**7/35 + h**6/60 - 7*h**5/30 + 4*h**3/3 + 42*h**2. Solve y(k) = 0 for k.
-1, 1, 2
Let z be 0*(-3 - (-15)/6). Factor -8*y**3 + 4/3*y + z - 10/3*y**2.
-2*y*(3*y + 2)*(4*y - 1)/3
Let p = -1 + 9. Suppose p = 4*k - 8. Factor s**k - 7*s**2 - 3*s**4 + s**2 + 6*s**3 + 2*s + 0*s**2.
-2*s*(s - 1)**3
Let i(n) be the first derivative of -1/18*n**4 + 2*n + 2/9*n**3 - 1/3*n**2 + 1. Let l(x) be the first derivative of i(x). Let l(z) = 0. Calculate z.
1
Let v be 2 + 1 - 4851/1620. Let m(a) be the third derivative of 0 - 1/18*a**3 - 1/36*a**4 - v*a**5 - 2*a**2 + 0*a. Find o, given that m(o) = 0.
-1
Factor 2*q**2 + 0 - q**5 - 1/3*q - 4*q**3 + 10/3*q**4.
-q*(q - 1)**3*(3*q - 1)/3
Let s(g) = g**3 - 8*g**2 + 7*g - 2. Let i be s(7). Let x = 0 - i. Factor -4/9*q + 2/9 + 2/9*q**x.
2*(q - 1)**2/9
Let f(x) be the third derivative of -x**7/210 + x**6/150 + x**5/60 - x**4/30 - 19*x**2. Factor f(g).
-g*(g - 1)*(g + 1)*(5*g - 4)/5
Let d(q) be the first derivative of 0*q**3 + 0*q**5 - 1/540*q**6 + 2 + 0*q**4 + 0*q - 3/2*q**2. Let v(a) be the second derivative of d(a). Solve v(u) = 0 for u.
0
Determine w so that -4*w - 4*w**2 - w**4 + 2*w**3 + 0 + 2*w**2 + 5*w**2 - 4 = 0.
-1, 2
Factor 1/2*u**3 - 1/2*u - 3/2*u**2 + 3/2.
(u - 3)*(u - 1)*(u + 1)/2
Let s(a) be the second derivative of -a**4/60 - a**3/30 + a**2/5 - 8*a. Determine d so that s(d) = 0.
-2, 1
Let f(s) be the third derivative of s**9/302400 - s**8/100800 - s**5/60 + 4*s**2. Let j(k) be the third derivative of f(k). Factor j(a).
a**2*(a - 1)/5
Determine f so that -3/4*f**2 + 0*f + 3/4 = 0.
-1, 1
Suppose u + 4*o = -0*u - 15, 2*u = 2*o + 10. Factor 3/2*z - 1/2*z**2 - u.
-(z - 2)*(z - 1)/2
Let t be (-273)/78*2/(14/(-3)). Let t*a + 3/2*a**2 - 3 = 0. What is a?
-2, 1
Let p(s) = -s**2 + 5. Let n(k) = 2*k**2 - 9. Let b(x) = x**3 + 4*x**2 - 4*x - 2. Let c be b(-5). Let m(o) = c*p(o) - 4*n(o). Factor m(i).
-(i - 1)*(i + 1)
Let q(s) be the third derivative of 2*s**7/35 - s**6/20 - 7*s**5/80 - s**4/32 + 6*s**2. Factor q(h).
3*h*(h - 1)*(4*h + 1)**2/4
Let a = -3 + 2. Let g be (12/(-2) - a)*-1. Suppose 0*q + q**2 + 0 + 1/2*q**3 - 2*q**4 - 3/2*q**g = 0. What is q?
-1, 0, 2/3
Let x = -7 + 9. Suppose -v**2 - v**2 - v**2 + x*v**4 + 2 - v**2 = 0. What is v?
-1, 1
Suppose -4*f + 5 = -3. Suppose f*k - 15 = -3*k. Let -4*p + 9*p**4 + 14*p**3 + 0*p**2 - 4*p**2 + 0*p - 5*p**k = 0. What is p?
-1, -2/3, 0, 2/3
Factor 6/7*v + 18/7 - 10/7*v**2 + 2/7*v**3.
2*(v - 3)**2*(v + 1)/7
Let t(y) = -y**2 + 24*y - 93. Let n be t(19). Let m be (1/3)/(3/6). Factor -2/3*b**3 + 0 + m*b + 0*b**n.
-2*b*(b - 1)*(b + 1)/3
Let o(v) = -4*v**4 + 2*v**2 - 2. Let r be (4/(-3))/(10/15). Let g(l) = l**5 + 9*l**4 - l**3 - 4*l**2 + 5. Let w(a) = r*g(a) - 5*o(a). Factor w(y).
-2*y**2*(y - 1)**2*(y + 1)
Let l(a) be the third derivative of -a**8/10080 + a**7/1260 + a**5/20 - 3*a**2. Let q(w) be the third derivative of l(w). Factor q(j).
-2*j*(j - 2)
Let q(p) be the third derivative of p**6/5 + 2*p**5/3 + p**4/4 + p**3/3 + 3*p**2. Let z(f) = -f**2 - 1. Let b(r) = -q(r) - 6*z(r). Factor b(o).
-2*(o + 1)*(3*o + 2)*(4*o - 1)
Factor 20/7*y - 2/7*y**2 - 50/7.
-2*(y - 5)**2/7
Let o(x) = -12*x**3 - 8*x**2 + 38*x - 32. Let n(j) = 11*j**3 + 9*j**2 - 39*j + 31. Let u(r) = 7*n(r) + 6*o(r). Solve u(y) = 0.
-5, 1
Suppose 0 = d - 4, v - 2*d = -2*v - 2. Let o be -1 - (v + 0 - 7). Find c such that -4/7*c**2 + 0 - 2*c**3 + 0*c - 10/7*c**o = 0.
-1, -2/5, 0
Let q = 1175 + -17617/15. Let f(b) be the first derivative of -q*b**3 - 1 + 2/5*b + 3/5*b**2. Solve f(n) = 0 for n.
-1/4, 1
Let x(w) = w**3 - 3*w**2 + 11. Let l(z) = 4*z**3 - 8*z**2 + 34. Let d(b) = 3*l(b) - 10*x(b). Factor d(f).
2*(f - 1)*(f + 2)**2
Let m(n) be the second derivative of -n**5/130 + n**4/78 + 5*n**3/39 + 3*n**2/13 + 27*n. Let m(j) = 0. Calculate j.
-1, 3
Suppose 4*g - 48 = -4*u, 0 = -g - 2 - 2. Factor 10 - 21 + 12*w**3 - 20*w**2 - u*w + 27.
4*(w - 2)*(w + 1)*(3*w - 2)
Let g(s) = 17*s + 138. Let n be g(-8). What is b in -2/5*b**n - 2/5*b + 0 = 0?
-1, 0
Let p = 11 - 8. Suppose j = -5*s - p, 3 = 4*s - 5*s - j. Factor 4*u**2 + 5*u**2 - 5*u**3 + 2 + s*u**4 - 7*u + u**4.
(u - 2)*(u - 1)**3
Let k = 58/7 - 8. Suppose 32/7 + k*c**2 - 16/7*c = 0. Calculate c.
4
Let m be (9 - 37/3) + 4. Find k such that -1/3*k**2 - m + k = 0.
1, 2
Let t(v) be the third derivative of -1/30*v**5 + 0 + 0*v + 1/60*v**6 + 4*v**2 + 0*v**3 - 1/12*v**4 + 1/105*v**7. Factor t(p).
2*p*(p - 1)*(p + 1)**2
Let s(w) = w + 1. Let v = -21 - -5. Let l(g) = 4*g**2 + 28*g + 16. Let m(b) = v*s(b) + l(b). Factor m(x).
4*x*(x + 3)
Factor 1 - 1/2*q**2 - 1/2*q.
-(q - 1)*(q + 2)/2
Let w be 12/15 - ((-30)/25 - 0). Let u(g) be the first derivative of 1/2*g**4 + 2 + 0*g**3 + 0*g - g**w. Suppose u(n) = 0. Calculate n.
-1, 0, 1
Suppose 4*i + 0*i = 8. Factor 5*o**2 + 3*o + 3*o**3 + 0*o**i - 2*o - 9*o**4.
-o*(o - 1)*(3*o + 1)**2
Let z(i) be the third derivative of i**5/180 + i**4/144 - 6*i**2. Factor z(c).
c*(2*c + 1)/6
Let w(y) = -y. Let u(b) = -b. Let a(s) = -6*u(s) + 7*w(s). Let x(p) = p**2 - 2*p + 4. Let g(q) = 3*a(q) + x(q). Let g(j) = 0. Calculate j.
1, 4
Let a(c) be the first derivative of -4*c**5/5 - 28*c**4 - 392*c**3 - 2744*c**2 - 9604*c - 26. Factor a(z).
-4*(z + 7)**4
Factor -14*x - 17*x**2 - 9/2*x**3 + 4.
-(x + 2)**2*(9*x - 2)/2
Let u(n) be the third derivative of n**8/1848 - 2*n**7/1155 - n**6/660 + n**5/165 + 32*n**2. Solve u(j) = 0.
-1, 0, 1, 2
Let r(o) = -o**3 - 6*o**2 + 9*o + 3. Let t be r(-6). Let u = -151/3 - t. Suppose u*l + 0 - 2*l**2 + 2*l**3 - 2/3*l**4 = 0. Calculate l.
0, 1
Let c(f) = f + 10. Let m = -22 - -15. Let s be c(m). Determine v so that 0*v - 2/5*v**s + 2/5*v**2 + 0 = 0.
0, 1
Let a = -354 - -2479/7. Factor 2/7*v + 0 - a*v**2.
-v*(v - 2)/7
Let c(w) be the second derivative of w**7/7560 - w**6/2160 - w**5/180 + w**4/2 - 3*w. Let s(o) be the third derivative of c(o). Factor s(h).
(h - 2)*(h + 1)/3
Let c = 875 + -872. Suppose -1/7*k**c - 1/7 + 1/7*k + 1/7*k**2 = 0. Calculate k.
-1, 1
Let u(i) be the third derivative of -1/14*i**3 + 0*i + 5/56*i**4 + 2*i**2 + 0 - 1/20*i**5 + 3/280*i**6. Factor u(b).
3*(b - 1)**2*(3*b - 1)/7
Let n(q) be the second derivative of q**6/3 - 5*q**5/4 - 55*q**4/12 - 10*q**3/3 - 22*q. Factor n(p).
5*p*(p - 4)*(p + 1)*(2*p + 1)
Let k(z) = -z - 1. Let w be k(-3). Let s(j) be the second derivative of 1/24*j**4 + w*j + 0 + 1/4*j**2 + 1/6*j**3. Find l such that s(l) = 0.
-1
Let p be (-4)/18 - 40/(-180). Factor -3/4*j**2 - 3/2*j + p + 3/4*j**4 + 3/2*j**3.
3*j*(j - 1)*(j + 1)*(j + 2)/4
Let y = 7 - 3. Factor -r**2 - r - 5*r + y*r.
-r*(r + 2)
Let l(w) be the second derivative of w**5/90 + w**4/3 + 3*w**3 - 8*w. Find j such that l(j) = 0.
-9, 0
Let k(c) = 30*c**2 + 148*c - 6. Let t be k(-5). Let l be -1*(-1 + 1)/2. Find p, given that l + 1/5*p - p**3 + 1/5*p**2 + 3/5*p**t = 0.
-1/3, 0, 1
Let n(y) be the second derivative of y**7/10080 + y**6/1440 - y**4/4 + 3*y. Let h(v) be the third derivative of n(v). Factor h(o).
o*(o + 2)/4
Let x(j) be the first derivative of 2/9*j**4 - 2/45*j**5 + 3 - 4/9*j**3 + 4/9*j**2 - 2/9*j. Factor x(h).
-2*(h - 1)**4/9
Factor -8*w**2 - 8/3*w - 10/3*w**3 + 0.
-2*w*(w + 2)*(5