 10*u**3/3 - 5*u**2/2 + 10*u - 4. Factor v(m).
5*(m - 2)*(m - 1)*(m + 1)
Let r(l) = 2*l**5 + 8*l**4 + 10*l**3 + 4*l**2 + 13*l - 13. Let y(i) = i**5 + 4*i**4 + 5*i**3 + 2*i**2 + 6*i - 6. Let x(u) = 6*r(u) - 13*y(u). Factor x(j).
-j**2*(j + 1)**2*(j + 2)
Let q(b) = -b**4 + 1 + 141*b**2 + b - 141*b**2. Let s(o) = -7*o**5 + 12*o**4 - 11*o**3 + 2*o**2 + 4*o + 4. Let l(u) = -12*q(u) + 3*s(u). Factor l(h).
-3*h**2*(h - 1)**2*(7*h - 2)
Let f = -63 + 191/3. Determine v so that -f*v**2 - 2/3 - 4/3*v = 0.
-1
Let p be 4 + -2 + (-4)/(-2). Suppose -10 = -2*q - p. Find l, given that -6*l**5 + 3*l**3 + 2*l**2 + l**q - 2*l**4 + 2*l**3 = 0.
-1, -1/3, 0, 1
Suppose -8 + 36 = 14*f. Determine o so that 2/3*o + 4/9 + 2/9*o**f = 0.
-2, -1
Solve 3*o**5 - 4*o**2 + 20*o**3 - 9*o**5 + 4*o**5 - 23*o**4 + 9*o**5 = 0 for o.
0, 2/7, 1, 2
Factor 11*q**2 - 134 + 2*q + 9*q**3 + 134.
q*(q + 1)*(9*q + 2)
Let k(o) be the third derivative of o**6/240 - 7*o**5/120 + 7*o**4/24 - 2*o**3/3 + 38*o**2. Factor k(m).
(m - 4)*(m - 2)*(m - 1)/2
Let f(b) be the third derivative of 0*b**3 + 0*b**5 + 0 - 1/420*b**6 - 4*b**2 + 0*b**4 + 0*b + 1/735*b**7. Factor f(u).
2*u**3*(u - 1)/7
Suppose -5*s - 6 + 16 = 0. Let k(b) = -b**2 + 6*b + 9. Let l be k(7). Factor l*d + 0*d**2 + 2*d**2 + 2*d**3 + s*d**2.
2*d*(d + 1)**2
Suppose 0 = 3*n - 12. What is c in 1/2*c**n - c + 0*c**2 - 1/2 + c**3 = 0?
-1, 1
Let c(i) be the third derivative of -i**8/2688 - i**7/1680 + i**6/480 + i**5/240 - i**4/192 - i**3/48 + 9*i**2. Factor c(p).
-(p - 1)**2*(p + 1)**3/8
Let k(l) be the third derivative of -l**6/120 + l**5/30 + l**4/24 + 3*l**2. Let b be k(-1). Factor -7*z**3 + 0*z**2 - 2 - 7*z**4 + 7*z - b*z**4 + 11*z**2.
-(z - 1)*(z + 1)**2*(9*z - 2)
Let v(w) be the first derivative of -1/2*w**4 - 3/7*w**2 - 3 + 4/7*w - 8/7*w**3. Determine f, given that v(f) = 0.
-1, 2/7
Let h(o) = -4*o**2 + 7*o + 31. Let z(k) = -k**2 - k - 1. Let d(u) = 2*h(u) - 10*z(u). Let d(y) = 0. What is y?
-6
Let l = 4/5 + -2/15. Let w(r) = -17*r + 155. Let h be w(9). Factor t + 1/3*t**h + l.
(t + 1)*(t + 2)/3
Let z(i) be the second derivative of -i**6/10 - 2*i**5/5 - i**4/3 - i. Factor z(h).
-h**2*(h + 2)*(3*h + 2)
Suppose 1/3*g**3 + 1/3*g**2 + 0*g + 0 = 0. Calculate g.
-1, 0
Factor 0*y - 18/5*y**5 - 14/5*y**3 - 6*y**4 - 2/5*y**2 + 0.
-2*y**2*(y + 1)*(3*y + 1)**2/5
Let z(x) = 2*x**3 - 31*x**2 - 15*x - 14. Let j be z(16). Factor -3/2 + 27/4*p - 9/4*p**4 - 45/4*p**j + 33/4*p**3.
-3*(p - 1)**3*(3*p - 2)/4
Let g(u) = u**4 + u**3 - 2*u**2 + 1. Let o(d) = d**3 - d**2 + 1. Let s = 3 + -2. Let k(q) = s*g(q) - o(q). Factor k(j).
j**2*(j - 1)*(j + 1)
Let c(i) = 10*i**2 + 7. Let m(q) = -3*q**2 - 2. Let z(a) = 4*c(a) + 14*m(a). Find j such that z(j) = 0.
0
Let i(t) be the second derivative of t**8/6720 + t**7/2520 + t**4/3 + 4*t. Let q(f) be the third derivative of i(f). Let q(p) = 0. What is p?
-1, 0
Let j(f) be the second derivative of 5/16*f**4 + 0 - 1/4*f**3 + 0*f**2 - 4*f - 9/80*f**5. Suppose j(k) = 0. What is k?
0, 2/3, 1
Let c = -11 + 15. Factor -4 - 20*b**3 + 39*b**c - 4*b**5 + 4 - 23*b**4 + 8*b**2.
-4*b**2*(b - 2)*(b - 1)**2
Solve 2/3*m**3 + 0*m**2 + 32/3 - 8*m = 0 for m.
-4, 2
Suppose 0 = -4*h + 3*c, 6*c - c = -h + 23. Suppose h*y - 2 = 4*u + 1, -u = y - 1. Factor -2/5*d**2 + 2/5 + u*d.
-2*(d - 1)*(d + 1)/5
Let d(w) be the first derivative of -45/4*w**4 + 49/6*w**6 + 2 - 28/5*w**5 - 2*w**2 + 0*w + 28/3*w**3. Factor d(i).
i*(i - 1)*(i + 1)*(7*i - 2)**2
Determine x, given that 8*x**3 + 0*x**3 - 4*x**4 + 0*x**3 = 0.
0, 2
Let l = -100 - -102. Let q(z) be the third derivative of 1/10*z**5 + 2/3*z**3 + 0*z + 0 + 2*z**l + 7/12*z**4. Let q(g) = 0. What is g?
-2, -1/3
Let u(a) be the third derivative of -20*a**8/21 + 40*a**7/21 + 5*a**6/6 - 25*a**5/12 - 25*a**4/12 - 5*a**3/6 - 31*a**2. Factor u(d).
-5*(d - 1)**2*(4*d + 1)**3
Let b(z) = -3*z**3 + 2*z**2 - 5*z + 4. Let k(n) = n - 10*n**3 + 13 - 16*n - 13*n**2 + 18*n**2. Let j(u) = 7*b(u) - 2*k(u). Factor j(i).
-(i - 2)*(i - 1)**2
Let l(x) = -3*x**3 - x**2 + 2*x. Let k(o) = -3*o**2 + 0*o**2 + 4*o**2 + o**3. Let b(i) = -k(i) - l(i). Find g, given that b(g) = 0.
-1, 0, 1
Let d(g) = g - 9. Let l be d(7). Let f be l*((-57)/27 + 2). Factor 0*m + 2/9*m**3 - 2/9*m**5 - 2/9*m**2 + 0 + f*m**4.
-2*m**2*(m - 1)**2*(m + 1)/9
Let k(m) be the first derivative of m**6/2 - 4*m**5/5 - m**4/2 + 4*m**3/3 - m**2/2 + 12. Find d, given that k(d) = 0.
-1, 0, 1/3, 1
Let w(d) be the first derivative of -5*d**5/16 + 5*d**4/16 - d**3/8 + 3*d**2/2 + 3. Let q(k) be the second derivative of w(k). Determine r, given that q(r) = 0.
1/5
Suppose 17*r - 37 + 3 = 0. Let q be 1/(-4) + 14/8. Factor 0 - q*c**r + c.
-c*(3*c - 2)/2
Let v(g) be the second derivative of 62*g**6/15 - 2*g**5/5 - 31*g**4/3 + 4*g**3/3 + 15*g + 1. Suppose v(x) = 0. Calculate x.
-1, 0, 2/31, 1
Let c(q) be the second derivative of -q**6/6 - 3*q**5/2 - 10*q**4/3 - 27*q. Solve c(k) = 0.
-4, -2, 0
Let d be 0 + (4 - 2) + 0. Suppose 0*u**d + 9*u**2 - 5 - 7 - 2*u**3 - u**3 = 0. Calculate u.
-1, 2
Let y be 2*(-1)/2*-1. Let p be 0/((3 + y)/4). Determine j, given that p - 1/5*j**2 + 0*j = 0.
0
Let d(o) be the third derivative of 0 + 1/300*o**6 - 1/150*o**5 - 10*o**2 - 1/30*o**4 + 0*o + 0*o**3. Factor d(t).
2*t*(t - 2)*(t + 1)/5
Let d(l) be the second derivative of -l**6/120 + l**5/40 - l**3/12 + l**2/8 + 2*l - 3. Factor d(f).
-(f - 1)**3*(f + 1)/4
Suppose 0*m + 24 = 3*m. Let k(g) = g - 12. Let q be k(m). Let c(a) = 2*a**2 - 11. Let z(t) = t**2 - 5. Let u(s) = q*c(s) + 9*z(s). Factor u(o).
(o - 1)*(o + 1)
Let f(w) be the second derivative of -w**7/252 + w**5/60 - w**3/36 - 26*w. Suppose f(o) = 0. What is o?
-1, 0, 1
Find v, given that 10*v**2 + 3*v - 6*v**2 + 13*v - 8*v**2 + 20 = 0.
-1, 5
Let y be -2 - -10*(-1)/(-2). Let o be y + 3/(0 - -1). Suppose 3*x**3 - o*x**2 + 5*x - 3*x + 0*x**3 + x = 0. What is x?
0, 1
Suppose i - 9 = -5. Let v be 82/8 - 1/4. Factor v*j**2 - 2*j**i - 4*j**3 - 8*j**4 + 0*j + 4*j.
-2*j*(j - 1)*(j + 1)*(5*j + 2)
Let y(c) be the second derivative of -c**6/45 + 7*c**5/30 - 13*c**4/18 - c**3/3 + 6*c**2 + 22*c. Let y(h) = 0. What is h?
-1, 2, 3
Let z(b) be the first derivative of 4 - b**2 + 0*b - b**5 + 5/3*b**3 + 1/2*b**4. Factor z(l).
-l*(l - 1)*(l + 1)*(5*l - 2)
Let j(a) = a - 6. Let s be j(9). Let k be 2 - 0 - (s - 1). Let 2/3*o**5 + 0*o**3 - 2/3*o + 4/3*o**2 - 4/3*o**4 + k = 0. What is o?
-1, 0, 1
Let z = 5 - 1. Factor -16*j**2 - 9*j**3 + z*j**5 - 10*j**3 + 3*j**3 + 4*j**4.
4*j**2*(j - 2)*(j + 1)*(j + 2)
Let p(r) be the first derivative of -r**8/840 - r**7/210 + r**5/30 + r**4/12 - r**3/3 + 4. Let f(c) be the third derivative of p(c). Factor f(k).
-2*(k - 1)*(k + 1)**3
Find d such that 8*d + 3*d**3 + 0*d**3 - 2*d**3 - 6 + 2 - 5*d**2 = 0.
1, 2
Let f(y) = -y**3 - 4*y**2 - 2*y - 6. Let w be f(-4). Suppose 12 = w*n + 2*n. Factor -7*r**3 - 10*r**2 - 3*r**n + 2*r**3 - 2*r.
-2*r*(r + 1)*(4*r + 1)
Suppose 2*l = -4 + 10. Factor 2*w**4 - 14*w**2 - 3 - 12*w - 12*w**l - 5*w**4 - 4*w**2.
-3*(w + 1)**4
Let j(w) be the third derivative of w**7/420 + w**6/240 - 5*w**2. Factor j(z).
z**3*(z + 1)/2
Factor -7/3*l + 3*l**2 - 2/3.
(l - 1)*(9*l + 2)/3
Let g(h) be the second derivative of h**2 - 2/3*h**3 - 3*h + 0 + 1/6*h**4. Find u, given that g(u) = 0.
1
Suppose 2 = x, 2*f + 3 = 3*x - 5. Let k = f - -3. Factor 4*v - 24*v**3 - 2*v + 3*v**2 - v**k.
-2*v*(3*v - 1)*(4*v + 1)
Let l be (-4 - -2)*((-2)/1 + 1). Suppose 2/5 - 4/5*o + 2/5*o**l = 0. Calculate o.
1
Let c be 1/(-2) + 88/16. Let k(m) = -4*m**3 + 6*m**2. Let a(p) = 9*p**3 - 12*p**2. Let z(y) = c*k(y) + 2*a(y). Factor z(j).
-2*j**2*(j - 3)
Suppose -2*n + 18 = -5*s, -2*n - 4*s = -0*n. Factor 5*y**5 - 2*y - 12*y**3 - 4*y**4 - 4*y**n - 8*y**2 - 3*y**5 - 4*y**5.
-2*y*(y + 1)**4
Let g be (-13)/(-21) + (-2)/6. Let r(l) = l - 1. Let c be r(3). Factor -g*i - 2/7*i**3 + 0 - 4/7*i**c.
-2*i*(i + 1)**2/7
Let a(d) be the third derivative of -d**7/40 + d**6/10 + 5*d**5/8 + 3*d**4/4 + 2*d**3/3 + d**2. Let j(s) be the first derivative of a(s). Factor j(f).
-3*(f - 3)*(f + 1)*(7*f + 2)
Let v(c) be the second derivative of c**6/10 + 3*c**5/20 - 7*c**4/4 - 13*c**3/2 - 9*c**2 - 15*c + 2. Suppose v(i) = 0. Calculate i.
-2, -1, 3
Let i be 10/(-3) + 15 + -11. Determine g so that 0 + 2/9*g**5 - i*g**3 + 2/9*g**4 - 2/9*g**2 + 4/9*g = 0.
-2, -1, 0, 1
Suppos