= -3/476 + 139/476. Determine u, given that v*u**3 + 10/7*u + 4/7 + 8/7*u**2 = 0.
-2, -1
Suppose 4*d - 2*d - 5*r = -11, 0 = 3*d - 5*r + 9. Let -2*g - g**3 + 8*g**d - 4*g**2 - g**2 = 0. What is g?
0, 1, 2
Let h(f) be the third derivative of -f**6/600 - f**5/300 + f**4/120 + f**3/30 + f**2. Solve h(j) = 0.
-1, 1
Let p be (9 + -7 - 3)*-1. Factor p + 5/2*q**2 + 7/2*q.
(q + 1)*(5*q + 2)/2
Solve 136*o**3 + 3*o**2 - 134*o**3 - o**2 = 0.
-1, 0
Factor 295*b**2 - 2*b**4 - 293*b**2 + 2*b**5 - 2*b**3 + 0*b**3.
2*b**2*(b - 1)**2*(b + 1)
Let k(l) = -4*l**4 - 16*l**3 - 19*l**2. Suppose -o = -5 + 6. Let f(r) = r**2. Let s(a) = o*k(a) - 3*f(a). Factor s(x).
4*x**2*(x + 2)**2
Let p(h) be the second derivative of -h**8/4200 + h**7/2100 + h**6/900 - h**5/300 + h**3/6 + 3*h. Let y(z) be the second derivative of p(z). Factor y(b).
-2*b*(b - 1)**2*(b + 1)/5
Let s be (-1629)/(-5670) - 4/14. Let v(x) be the third derivative of -1/72*x**4 + 2*x**2 + 0 + 0*x**3 + 0*x + 1/60*x**5 + s*x**7 - 1/120*x**6. Factor v(l).
l*(l - 1)**3/3
Let t = 5/348 - -2/29. Let p(r) be the second derivative of -1/10*r**5 - t*r**4 + 0*r**2 - r + 0 - 1/30*r**6 + 0*r**3. Factor p(d).
-d**2*(d + 1)**2
Let c be ((-117)/(-26))/((-3)/(-16)). Suppose 2*p**3 + 3*p**3 + 12*p**2 - 7*p**3 - c*p + 16 = 0. What is p?
2
Let -2/3*t + 1/3*t**2 + 0 = 0. Calculate t.
0, 2
Let a = -37 - -42. Let 0*j - 2/11*j**2 + 0 - 6/11*j**3 + 6/11*j**a + 2/11*j**4 = 0. What is j?
-1, -1/3, 0, 1
Let q(u) be the first derivative of 4 + 6*u**2 - 3/5*u**5 + 0*u**3 + 0*u - 9/4*u**4. Suppose q(m) = 0. What is m?
-2, 0, 1
Let o(v) be the first derivative of v**4/16 + v**3/6 - v**2/2 - 2*v + 31. What is z in o(z) = 0?
-2, 2
Let i = 43/28 - 9/7. Let m(t) be the first derivative of -1/20*t**5 - 1 - 1/2*t**3 - i*t**4 - 1/2*t**2 - 1/4*t. Find d, given that m(d) = 0.
-1
Let r(n) be the second derivative of -n**8/168 + n**7/105 - n**2/2 - n. Let y(x) be the first derivative of r(x). Factor y(m).
-2*m**4*(m - 1)
Let s(z) = z**3 - 5*z**2 + 3. Let l be s(5). What is t in l*t**5 - 12*t**4 - t**5 + 3*t**2 + 17*t**2 + 4*t**4 - 8*t - 16 + 2*t**3 = 0?
-1, 2
Let t(p) be the second derivative of -5*p**4/12 + 15*p**3/2 - 35*p**2 + 19*p. Factor t(i).
-5*(i - 7)*(i - 2)
Let c(a) = -8*a**4 - 8*a**3 - 2*a + 2. Let d(j) = -j**5 + j**4 + j**3 - j**2 + j - 1. Let m(x) = c(x) + 2*d(x). Let m(w) = 0. What is w?
-1, 0
Determine t so that 0*t**2 + 0 + 18/7*t**4 + 3/7*t**3 + 27/7*t**5 + 0*t = 0.
-1/3, 0
Let q be (24/444)/(4/(-6)). Let p = 22/185 - q. What is l in 2/5*l + 0 - 1/5*l**2 - p*l**3 = 0?
-2, 0, 1
Let c(p) = p + 5. Let y be c(5). Let s(k) = k**2 - 11*k + 13. Let z be s(y). Let -1/3*d**2 + 0 + 0*d**z + 1/3*d**4 + 0*d = 0. What is d?
-1, 0, 1
Factor -2*q**3 - 18 - 7*q**2 - 10*q**2 + 3*q**2 - 30*q + 0*q**2.
-2*(q + 1)*(q + 3)**2
Suppose 3*f - 6 = 0, -3*r = f + f - 4. Factor -2/11*j**4 + 4/11*j**3 - 2/11*j**2 + r*j + 0.
-2*j**2*(j - 1)**2/11
Let m(u) = -u**2 - 11*u + 26. Let l be m(-13). Factor 0 + 3/4*t**3 + 3/2*t**2 + l*t.
3*t**2*(t + 2)/4
Let q(v) be the third derivative of -1/24*v**4 + 0*v - 1/840*v**7 + 3*v**2 + 1/80*v**5 + 0 + 1/240*v**6 - 1/6*v**3. Factor q(k).
-(k - 2)**2*(k + 1)**2/4
Let v be (-4)/2 + -7 + 9. Factor 1/3*i**4 + 0*i + 1/3*i**3 + v*i**2 + 0.
i**3*(i + 1)/3
Let w = 2 - -1. Let u be w*3*2/9. Solve -2/3*l**4 - 1/3*l**3 + 0 - 1/3*l**5 + 0*l + 0*l**u = 0.
-1, 0
Suppose -3*r + 21 = 5*l - 13, 2*l = -3*r + 19. Factor 0 + 0*p - 4/3*p**2 + 2/3*p**r.
2*p**2*(p - 2)/3
Let t be 5 - 0 - (-1 + 3). Determine l so that 2/5*l**t + 2/5*l**2 - 2/5 - 2/5*l = 0.
-1, 1
Let o(s) be the third derivative of -s**5/60 + s**4/12 + 4*s**3/3 + 38*s**2. Factor o(i).
-(i - 4)*(i + 2)
Let p(g) be the first derivative of 49*g**4/10 + 154*g**3/15 + 32*g**2/5 + 8*g/5 + 14. Factor p(y).
2*(y + 1)*(7*y + 2)**2/5
Let x(k) = -10*k**2 + 50*k - 5. Let h(v) = -5*v**2 + 25*v - 2. Let g(y) = -5*h(y) + 2*x(y). Factor g(q).
5*q*(q - 5)
Let u(j) be the second derivative of -3*j**5/140 + 57*j**4/28 - 1083*j**3/14 + 20577*j**2/14 + 9*j - 3. Factor u(k).
-3*(k - 19)**3/7
Let o(u) be the first derivative of 0*u**3 + 3 + 0*u**5 - 1/2*u**4 + 0*u**2 + 0*u + 1/3*u**6. Find h such that o(h) = 0.
-1, 0, 1
Solve 24/5*y**3 - 6*y**2 - 24/5*y + 3/5*y**4 + 27/5 = 0.
-9, -1, 1
Let z be 1*-1 + 330/315. Let i(u) be the first derivative of 4/21*u**3 - 3 - 1/7*u**4 + z*u**6 + 1/7*u**2 - 2/35*u**5 - 2/7*u. Factor i(p).
2*(p - 1)**3*(p + 1)**2/7
Factor 2*k + 2/7*k**3 + 6/7 + 10/7*k**2.
2*(k + 1)**2*(k + 3)/7
Let i be ((-1)/2)/(15/(-10)). Factor -5/3*p**3 + i*p + 1/3*p**2 + 0 + p**4.
p*(p - 1)**2*(3*p + 1)/3
Let a(w) = w**2 + 5*w - 2. Let f(i) = -i**2 - 6*i + 3. Let j(d) = -4*a(d) - 3*f(d). Factor j(l).
-(l + 1)**2
Let v(a) = -2*a**3 - 10*a**2 - 22*a - 2. Let x(k) = 2*k**3 + 10*k**2 + 23*k + 1. Let s(h) = 7*v(h) + 6*x(h). Factor s(b).
-2*(b + 1)*(b + 2)**2
Suppose -5 - 34 = c. Let x = 62 + c. Factor -x*i + 2*i**2 + 2*i**3 + 23*i.
2*i**2*(i + 1)
Let u(f) be the first derivative of -f**3/21 - 5*f**2/14 - 4*f/7 - 7. Factor u(o).
-(o + 1)*(o + 4)/7
Let p(o) be the second derivative of o**5/30 + o**4/12 + 3*o**2/2 + o. Let z(v) be the first derivative of p(v). Suppose z(h) = 0. What is h?
-1, 0
Factor 2/5*j**2 + 0 + 8/5*j.
2*j*(j + 4)/5
Let n(d) = -6*d**3 - 4*d**2 + 9*d. Let k(a) = -a**3 - a**2 + a. Let j(m) = 35*k(m) - 5*n(m). Factor j(t).
-5*t*(t + 1)*(t + 2)
Let n(l) be the second derivative of l**7/6300 - l**6/1800 - l**5/150 + l**4/12 - 4*l. Let j(w) be the third derivative of n(w). Suppose j(s) = 0. What is s?
-1, 2
Find p, given that 3*p**2 + 152*p - 42*p**2 + 3*p**2 - 32 = 0.
2/9, 4
Suppose f + 8 = 3*f. Factor 2*n + 4*n**2 - 4 - 4*n**f - 4*n**3 + 4 + 2*n.
-4*n*(n - 1)*(n + 1)**2
Let j(q) = q**4 - q**3 - q**2 + q. Let o(w) = -11*w**4 + 71*w**3 - 21*w**2 - 31*w - 8. Let n(z) = -14*j(z) + 2*o(z). Determine y, given that n(y) = 0.
-1/3, 1, 4
Let p = 0 - 6. Let c = 6 + p. What is w in 2/3*w**3 + 0*w**2 + c*w + 0 = 0?
0
Suppose 30*f = 28*f. Factor f + 0*u**3 + 0*u + 0*u**2 + 2/11*u**5 - 2/11*u**4.
2*u**4*(u - 1)/11
Let u = 2/31 - -25/93. Factor -u*s**4 + 1/3*s**2 - 1/3*s**3 + 0 + 1/3*s.
-s*(s - 1)*(s + 1)**2/3
Suppose -2*k + 10 + 34 = 0. What is p in -2*p - p**2 + 6 - 5*p - p - k = 0?
-4
Let h(m) = -2*m**3 + 2*m**2 + 4*m. Let o be 1 + -2 + 0 + 15. Let y = o - 7. Let s(x) = 6*x**3 - 7*x**2 - 13*x. Let r(b) = y*h(b) + 2*s(b). Factor r(a).
-2*a*(a - 1)*(a + 1)
Let 10*d - 27 + 15*d**2 + 5*d**3 + 27 + 0*d**2 = 0. What is d?
-2, -1, 0
Let c(p) be the second derivative of -p**6/180 + p**5/15 - p**4/3 + 5*p**3/6 - 7*p. Let s(n) be the second derivative of c(n). Factor s(w).
-2*(w - 2)**2
Suppose -4*n - 4*o = -o - 5, 2*o = -3*n + 4. Let q(y) = y**3 + 2*y**2 - 4*y - 3. Let u be q(-3). Factor 0*b + 0*b**3 + 4/5*b**4 - 14/5*b**5 + 0*b**n + u.
-2*b**4*(7*b - 2)/5
Let n(w) be the third derivative of w**6/40 - w**5/10 - w**4/8 + w**3 + 55*w**2. Let n(q) = 0. Calculate q.
-1, 1, 2
Let z(s) = s**2 + s. Suppose 0*c = -5*c - 5. Let w(d) = -2*d**2. Let b(p) = c*z(p) - w(p). Factor b(m).
m*(m - 1)
Factor -2/9*r**4 + 2/3*r**2 + 4/9*r + 0 + 0*r**3.
-2*r*(r - 2)*(r + 1)**2/9
Let r(h) = -h**2 - h + 1. Let k(n) = 11*n**2 + 8*n - 8. Let d(l) = k(l) + 5*r(l). Solve d(q) = 0 for q.
-1, 1/2
Let b = 3/10 - 7/90. Let y(z) = -z**2 + 3*z + 43. Let u be y(8). Factor 2/9*t**u + 0 - 2/9*t**4 - b*t + 2/9*t**2.
-2*t*(t - 1)**2*(t + 1)/9
Factor 22 + 6*z**2 - 7 + 14*z**4 - 15 - 24*z**3 + 4*z.
2*z*(z - 1)**2*(7*z + 2)
Let r(z) be the third derivative of z**6/200 - z**5/50 - z**4/40 + z**3/5 - z**2. Factor r(v).
3*(v - 2)*(v - 1)*(v + 1)/5
Let l(x) be the second derivative of -x**7/420 - x**6/120 - x**5/120 - 2*x**2 - 5*x. Let y(k) be the first derivative of l(k). Factor y(t).
-t**2*(t + 1)**2/2
Solve -5 - 6*k + 9 + k**2 + 2*k**2 - k**2 = 0.
1, 2
Let b(q) be the second derivative of -q**5/25 + q**4/15 - 6*q. Factor b(c).
-4*c**2*(c - 1)/5
Find k, given that -1/7*k**5 + 3/7*k**3 - 2/7*k**2 + 0 + 0*k**4 + 0*k = 0.
-2, 0, 1
Let l(g) be the third derivative of g**6/240 - g**5/20 + g**4/4 - 2*g**3/3 - 7*g**2. Find p such that l(p) = 0.
2
Let r = 4 + -7. Let h(s) = -s**2 - 4*s. Let q be h(r). Find z, given that 2*z**4 - 2 + 2*z**3 + 9*z - 5*z - 6*z**q = 0.
-1, 1
Let w(b) be the second derivative of 2*b**7/35 - 11*b**6/40 + b**5/4 + b**4/4 - 7*b**2/2 +