2/10 - 3*q - 19. Suppose i(d) = 0. Calculate d.
1/4, 5
Let f(y) be the third derivative of y**6/180 - y**5/60 + y**3 + 5*y**2. Let z(a) be the first derivative of f(a). Factor z(u).
2*u*(u - 1)
Let x(q) = q**3 - 2*q**2 + 5*q. Let m(g) = 7*g + 6*g**2 - 10*g - 3*g**3 - 11*g. Let u(i) = 4*m(i) + 11*x(i). Factor u(h).
-h*(h - 1)**2
Let t(l) be the second derivative of 0*l**3 - 11/90*l**5 + 19/135*l**6 + 0 + 1/27*l**4 - 10/189*l**7 + 0*l**2 - 4*l. What is a in t(a) = 0?
0, 2/5, 1/2, 1
Let y(l) be the third derivative of -1/48*l**4 + 0 + 0*l**3 + 4*l**2 + 0*l - 1/80*l**5 - 1/480*l**6. Let y(n) = 0. Calculate n.
-2, -1, 0
Let h(l) = -l**2 + 5*l + 1. Let t be h(4). Let z be (2*-1)/(4/(-6)). Let -i**z + 2*i**t + 4*i**3 - 2*i**5 - 3*i**5 = 0. What is i?
-1, 0, 1
Let b(m) = -m**2 + 7*m. Let x be b(6). Let v be ((-24)/(-126))/(x/28). Factor v*z**2 + 0 + 4/9*z**4 + 2/9*z + 10/9*z**3.
2*z*(z + 1)**2*(2*z + 1)/9
Suppose 5*q = 7*q - 10. Let s(d) be the first derivative of -2/45*d**q + 0*d**4 + 0*d + 2/27*d**3 + 0*d**2 + 1. Factor s(r).
-2*r**2*(r - 1)*(r + 1)/9
Let o(g) = -3*g + 4. Let n(v) = -3*v + 3. Let t(l) = 5*n(l) - 4*o(l). Let p be t(-1). Factor -1/4*z + 1/4*z**p + 0.
z*(z - 1)/4
Let b be 8/5 - 1 - 132/(-55). Let z(j) be the first derivative of -4/21*j**3 + 3/7*j**2 - 2/7*j + b. Factor z(k).
-2*(k - 1)*(2*k - 1)/7
Let r = 49/106 + 2/53. Factor 1/2*n**3 + 0 + 0*n - r*n**2.
n**2*(n - 1)/2
Let z(w) be the second derivative of w**5/60 + w**4/18 + w**3/18 - 2*w. Factor z(j).
j*(j + 1)**2/3
Let y(k) be the second derivative of 0 + 1/30*k**5 + 1/45*k**6 - 1/9*k**3 + 0*k**2 + 4*k - 1/18*k**4. Factor y(m).
2*m*(m - 1)*(m + 1)**2/3
Let p(m) be the first derivative of 0*m + 1/14*m**2 + 2/21*m**3 - 3/28*m**4 - 1. Factor p(k).
-k*(k - 1)*(3*k + 1)/7
Let w(z) = -z**2 - z - 1. Let k(q) = q**3 - q**2 - 2*q - 2. Let c(l) = k(l) - 2*w(l). Solve c(u) = 0.
-1, 0
Let m(r) be the second derivative of -1/12*r**3 + 0 + 3/2*r**2 + 1/96*r**4 + 2*r + 1/240*r**5. Let u(b) be the first derivative of m(b). Factor u(y).
(y - 1)*(y + 2)/4
Let r(j) be the third derivative of j**5/30 - 13*j**2. Factor r(b).
2*b**2
Let f(z) be the second derivative of -z**6/30 - 3*z**5/20 - z**4/6 + 2*z. Factor f(o).
-o**2*(o + 1)*(o + 2)
Let m(l) be the second derivative of 0 + 4*l + 0*l**2 + 1/6*l**4 + 2/3*l**3. Factor m(h).
2*h*(h + 2)
Factor 3 + 12*f + 2 + 1 + 6*f**2 + f**3 + 2.
(f + 2)**3
Let b(u) be the second derivative of -1/30*u**6 - 1/2*u**4 - 2/3*u**3 - 1/2*u**2 - 1/5*u**5 + 0 + 4*u. Factor b(w).
-(w + 1)**4
Let i be (-6)/(-9)*12 - 0. Find b such that 2*b**5 + i*b**2 + 4*b**4 + 6*b**4 - 2*b**4 + 2*b + 12*b**3 = 0.
-1, 0
Let c(r) be the first derivative of r**4/16 + r**3/6 + r**2/8 - 9. Factor c(b).
b*(b + 1)**2/4
Let q(z) = -6*z**2 - z. Let a(l) = -l**2 - 3. Let x(c) = 2. Let y(b) = -4*a(b) - 6*x(b). Let m(w) = -4*q(w) - 5*y(w). Factor m(r).
4*r*(r + 1)
Let u be (2 - 2)*(-4)/(-4). Factor u*b + 0*b**2 + b + b**2.
b*(b + 1)
Let z(l) be the third derivative of l**6/780 - 2*l**5/195 - 11*l**4/156 - 2*l**3/13 - 34*l**2. Suppose z(r) = 0. Calculate r.
-1, 6
Let j = -254661 - -2288987/9. Let z = 330 + j. Factor 4/9*g**4 - 2/9*g + 0 - 10/9*g**3 + z*g**2.
2*g*(g - 1)**2*(2*g - 1)/9
Let v(q) be the second derivative of q**5/80 - 5*q. Determine w so that v(w) = 0.
0
Suppose 6*q**2 - q**2 - 7*q**2 - 5*q**3 + 4*q**3 = 0. Calculate q.
-2, 0
Suppose -5*h + 45 = 3*r, 0*h - 36 = -4*h - 2*r. Suppose 0 = -6*k + h*k - 6. Determine q, given that 1/3 - 1/2*q + 1/6*q**k = 0.
1, 2
Factor l**2 - 8*l**2 - 7*l**2 + 2*l**2 - 18*l**3 - 3*l**5 + 15*l**4 + 24*l.
-3*l*(l - 2)**3*(l + 1)
Let c = 320 + -4158/13. Factor 0*o**3 - 4/13*o - c*o**4 + 0 + 6/13*o**2.
-2*o*(o - 1)**2*(o + 2)/13
Let i(f) be the second derivative of -f**5/140 + f**4/21 - 5*f**3/42 + f**2/7 + 14*f. What is s in i(s) = 0?
1, 2
Let v(b) be the second derivative of -9/14*b**2 + 0 - 1/7*b**3 - 2*b - 1/84*b**4. Find p, given that v(p) = 0.
-3
Let b = -74 - -668/9. Factor -2/9*l**4 + 0 + 2/9*l**5 + 0*l - b*l**3 + 2/9*l**2.
2*l**2*(l - 1)**2*(l + 1)/9
Let o(k) be the second derivative of -k**6/15 + k**4 - 8*k**3/3 + 3*k**2 - 31*k. Let o(g) = 0. Calculate g.
-3, 1
Let u(l) be the first derivative of 5 + 8/3*l + 1/6*l**4 + 8/3*l**2 + 10/9*l**3. Factor u(k).
2*(k + 1)*(k + 2)**2/3
Let a(b) be the third derivative of 1/60*b**5 - 3*b**2 + 1/360*b**6 + 1/18*b**3 + 1/24*b**4 + 0 + 0*b. Factor a(y).
(y + 1)**3/3
Let a(q) be the second derivative of -1/42*q**4 - 8/21*q**3 - 16/7*q**2 + 0 - 7*q. Find n such that a(n) = 0.
-4
Let h(j) = 4*j**2 - 1. Suppose -4 = -2*k - 2. Let d be h(k). Factor 2/3 + 4/3*w**2 - 5/3*w - 1/3*w**d.
-(w - 2)*(w - 1)**2/3
Let k(i) = i**3 - 7*i**2 - 8*i + 3. Let a be k(8). Suppose -5*s = -5*u - 0*s + 5, 5*u + a*s - 21 = 0. Factor 0*r + 1/3*r**u - 1/3*r**2 + 0.
r**2*(r - 1)/3
Let i(f) be the first derivative of -2*f**5/5 - 7*f**4/2 - 16*f**3/3 + 16*f**2 + 13. Find m such that i(m) = 0.
-4, 0, 1
Let j(a) = a**2 + 4*a - 1. Let z be j(-5). Let d be 1/4*(63/27 + -1). Factor -1/3*v**z - d*v + 0 + 1/3*v**3 + 1/3*v**2.
-v*(v - 1)**2*(v + 1)/3
Suppose 3*i = -2*i + 20. Suppose -16 = -i*a, -4*r - 4*a + 11 = -25. Factor 5*v**4 - 3*v + 6*v - v - r*v**2 - 2*v**3.
v*(v - 1)*(v + 1)*(5*v - 2)
Let a(b) be the first derivative of -7/10*b**2 + 1/5*b**4 - 8/25*b**5 + 1/10*b**6 + 2/5*b + 2/5*b**3 + 3. Let a(g) = 0. Calculate g.
-1, 2/3, 1
Let p(l) be the first derivative of -5*l**3/6 - 5*l**2/4 + 5*l - 23. Factor p(j).
-5*(j - 1)*(j + 2)/2
Let q(m) be the second derivative of -5*m**4/4 - 5*m**3/6 + 6*m. Let q(n) = 0. What is n?
-1/3, 0
Let k(q) be the first derivative of -2*q**3/21 + 2*q**2/7 + 7. Find d, given that k(d) = 0.
0, 2
Suppose -4*i - p = -2*p - 10, -1 = 3*i - 5*p. Factor -3*l**2 - i + 0 - l - 5*l + 0*l**2.
-3*(l + 1)**2
Suppose 2*s + 0*k - 4*k = -8, -2*k = -5*s + 4. Let m(f) be the first derivative of 2/3*f**3 - 3 - f**2 - s*f + 1/2*f**4. Factor m(q).
2*(q - 1)*(q + 1)**2
Let c(y) be the second derivative of -y**6/600 + y**5/200 - 2*y**3/3 - 2*y. Let x(j) be the second derivative of c(j). Find p, given that x(p) = 0.
0, 1
Let z(f) be the second derivative of -2*f**4/9 - f**3/9 - 13*f. What is u in z(u) = 0?
-1/4, 0
Factor -3*o**2 + 3*o**3 - 3*o - 10 - 4 + 17.
3*(o - 1)**2*(o + 1)
Find l such that -19*l**4 - 15*l**4 - 2*l**2 + 4*l**4 - 43*l**3 - 22*l**2 - 7*l**5 - 4*l = 0.
-2, -1, -2/7, 0
Let k be 84/(-7) + 8 - 38/(-6). Suppose -f + k*f**3 - f**2 - f**4 + 2/3 = 0. Calculate f.
-2/3, 1
Factor 3*i**3 + 0*i + 3/4*i**4 + 0 + 9/4*i**2.
3*i**2*(i + 1)*(i + 3)/4
Solve 2/3*n**5 + 46/3*n**3 - 32/3 + 6*n**4 - 16*n + 14/3*n**2 = 0.
-4, -1, 1
Let d(r) be the first derivative of -3*r**3 - 27/4*r**4 + 12*r - 6 + 12*r**2. Factor d(g).
-3*(g - 1)*(3*g + 2)**2
Let p(x) = -x**2. Let r(i) = -6*i**2 - 6*i + 9. Let v(h) = -35*p(h) + 5*r(h). Factor v(f).
5*(f - 3)**2
Let c(o) be the first derivative of -o**6/2 - 13*o**5/5 - 17*o**4/4 - o**3 + 4*o**2 + 4*o - 12. Factor c(k).
-(k + 1)**3*(k + 2)*(3*k - 2)
Let l(q) be the first derivative of q**3 + 11*q**2/2 + 6*q - 3. Determine g, given that l(g) = 0.
-3, -2/3
Let w(b) be the third derivative of 3*b**6/260 - 7*b**5/390 - b**4/78 + b**2. Solve w(f) = 0.
-2/9, 0, 1
Factor 0*i**2 + i**2 - 4*i**2 + 4 - 1.
-3*(i - 1)*(i + 1)
Let k(h) be the first derivative of -4*h**3/3 - 6*h**2 + 16*h - 22. Suppose k(z) = 0. Calculate z.
-4, 1
Suppose 0 = u - 6 + 8. Let b(w) = -2*w**3 + 10*w**2 - 12*w - 12. Let a(q) = -q + 1. Let r(v) = u*b(v) + 12*a(v). Factor r(f).
4*(f - 3)**2*(f + 1)
Let j be -56*((-35)/(-90) - (-1)/(-2)). Solve 44/9*h**2 - 10/9*h**3 + 16/9 - j*h = 0.
2/5, 2
Let q(g) be the first derivative of 2*g**3/27 + 5*g**2/9 + 4*g/3 - 4. Factor q(k).
2*(k + 2)*(k + 3)/9
Suppose 11*n - 20 = 6*n. Let h**2 - n*h**3 - 5*h**2 - h + 9*h = 0. What is h?
-2, 0, 1
Let f(v) be the second derivative of 0*v**2 + 1/60*v**5 + 0 + 1/45*v**6 - 1/18*v**3 - 1/18*v**4 + 3*v. Find c such that f(c) = 0.
-1, -1/2, 0, 1
Let h = -3/5 + 49/65. Solve h*m**3 + 0*m + 0 - 2/13*m**2 = 0.
0, 1
Let o(u) be the first derivative of u**3/18 - 2*u**2 + 24*u - 19. Factor o(g).
(g - 12)**2/6
Let a = 1568/405 + -22/81. Suppose 5*k - 10 = 5*s, s = -6*k + 2*k + 18. What is h in 0*h - 8/5 - 6/5*h**4 + a*h**s + 4/5*h**3 = 0?
-1, 2/3, 2
Let y = -2969/30 + 99. Let f(o) be the th