5*u**3 + 2*u**2 - 4*u - 8. Let l(j) = -6*p(j) + 13*x(j). Find s such that l(s) = 0.
-2, 2
Factor 0*t + 3/2*t**4 + 0*t**2 + 0 + 0*t**3 - 3/2*t**5.
-3*t**4*(t - 1)/2
Let f(v) be the third derivative of v**5/60 - v**4/8 + 8*v**2. Factor f(w).
w*(w - 3)
Let l(k) be the second derivative of -k**7/231 + 4*k**6/165 - 2*k**5/55 - k**4/33 + 5*k**3/33 - 2*k**2/11 - k. Solve l(h) = 0 for h.
-1, 1, 2
Let s = 7 - 6. Let h be (0 - s/1) + 3. Factor -2*u + u**3 - u**5 - u + u**3 + h*u.
-u*(u - 1)**2*(u + 1)**2
Let n(q) = -q**3 + 7*q**2 + 2*q - 9. Suppose 2*x = 3*x - 7. Let v be n(x). Factor 6 - 8 - 20*a**2 + v*a**3 + 4*a + 5*a + 8*a**2.
(a - 1)**2*(5*a - 2)
Suppose -r = 2*r - 24. Let h = 17/2 - r. Factor 0 + 1/2*l**5 - h*l**2 + 0*l - 1/2*l**3 + 1/2*l**4.
l**2*(l - 1)*(l + 1)**2/2
Let y be 8 + 15/((-60)/32). Let c be 3/15 + 23/35. Find g such that -4/7*g**4 - 2/7*g**3 + c*g**5 + 0 + y*g + 0*g**2 = 0.
-1/3, 0, 1
Let n be (-1)/(-1) + (-13)/5 + 2. Determine p, given that 2/5*p**3 - n*p**2 + 0 + 0*p = 0.
0, 1
Solve 2*q**5 - 2*q**4 - q**5 - 5*q**2 - 2*q + 7*q**2 + q = 0 for q.
-1, 0, 1
Let m be -1 + 25/20*2. Let a be (-10)/8 - (-2)/1. Find r such that a*r - 3/4*r**3 + m*r**2 - 3/2 = 0.
-1, 1, 2
Let q(g) be the second derivative of 0 + 1/105*g**7 - 3*g + 1/75*g**6 - 1/15*g**4 - 1/25*g**5 + 1/5*g**2 + 1/15*g**3. Suppose q(u) = 0. What is u?
-1, 1
Let f(j) = -4*j**3 + j**2. Let l be f(-1). Suppose -3*b = -0*b - 2*z - 9, -l*z = 0. Find v such that 2*v**b + v**3 - 4*v**3 + 3*v**2 + v - 3*v**4 = 0.
-1, -1/3, 0, 1
Let p(y) be the third derivative of y**8/420 + 4*y**7/525 + y**6/150 - 29*y**2. Determine u, given that p(u) = 0.
-1, 0
Suppose -4*f + 20 = 4*u, -2*f + 4 + 12 = 5*u. Factor -2/9*h**2 + 0 + 0*h - 2/9*h**f.
-2*h**2*(h + 1)/9
Let w(d) be the third derivative of 0*d + 0*d**3 + 3/5*d**5 + 1/6*d**4 + 0 + 7/15*d**7 + 7/8*d**6 + 2*d**2. Suppose w(l) = 0. What is l?
-1/2, -2/7, 0
Suppose 0 = -2*l + 7*l. Let y(m) be the second derivative of 2/15*m**6 + 0*m**4 + 0 + 0*m**3 - m + 0*m**5 + l*m**2 - 1/7*m**7. Let y(v) = 0. Calculate v.
0, 2/3
Let g = 8 - 15. Let r = g + 10. Find j such that j**r - 1 + 1/2*j + 5/2*j**2 = 0.
-2, -1, 1/2
Let p = 277/4 + -69. Factor -3/4*z**2 + 1 + z - 1/2*z**3 + p*z**4.
(z - 2)**2*(z + 1)**2/4
Suppose 28*f - 18 = 24*f - 2*a, 0 = 3*f - a - 1. Factor 4/3 + 2/3*k**3 - f*k + 0*k**2.
2*(k - 1)**2*(k + 2)/3
Let l(m) = -2*m**4 + 8*m**3 - 4*m**2 + 2. Let d(c) = 4*c**4 - 17*c**3 + 7*c**2 + c - 5. Let k(i) = -4*d(i) - 10*l(i). Find g, given that k(g) = 0.
0, 1
Let o(z) be the third derivative of 0 + 0*z - 1/180*z**6 + 1/12*z**4 + 2/9*z**3 - 6*z**2 + 0*z**5. Determine u so that o(u) = 0.
-1, 2
Let u(m) be the second derivative of -m**6/30 - m**5/2 - 11*m**4/4 - 20*m**3/3 - 8*m**2 - 63*m. Suppose u(s) = 0. Calculate s.
-4, -1
Let q(u) be the third derivative of 1/180*u**6 + 1/315*u**7 + 0 - 3*u**2 - 1/90*u**5 + 0*u**4 + 0*u**3 + 0*u - 1/504*u**8. Factor q(y).
-2*y**2*(y - 1)**2*(y + 1)/3
Let l = -1 + 3. Suppose -l*j = -j - 4. Factor 2*z**4 + 2*z**5 + 3*z**2 - 6*z**j - 2*z + z**2.
2*z*(z - 1)**3*(z + 1)
Let n(r) be the first derivative of r**4/16 + r**3/12 - r**2 - 3*r - 5. Factor n(i).
(i - 3)*(i + 2)**2/4
Let k(l) be the second derivative of -l**4/36 + 5*l**3/9 - 25*l**2/6 + 17*l. Factor k(g).
-(g - 5)**2/3
Let q = 5 + -4. Let d(u) = q + u**2 - 1 + 2*u + 0*u**2. Let k(g) = 2*g**2 + 2*g. Let c(a) = -4*d(a) + 3*k(a). Factor c(x).
2*x*(x - 1)
Let o(w) be the first derivative of 0*w + 5 - 1/7*w**2 - 2/21*w**3. Factor o(t).
-2*t*(t + 1)/7
Solve 0 + 0*w + 4/11*w**2 - 6/11*w**3 - 4/11*w**4 = 0 for w.
-2, 0, 1/2
Suppose 10 = 3*k + 4*d - 2, 2*k = -5*d + 8. Let o(u) be the third derivative of 0*u**3 + 0 - 2*u**2 + 0*u + 1/84*u**k - 1/210*u**5. Factor o(y).
-2*y*(y - 1)/7
Factor -112 + 6*y**3 + 229 - 102 + 39*y**2 + 48*y.
3*(y + 1)*(y + 5)*(2*y + 1)
Let c(v) = -7*v**4 - 4*v**3 + 3*v**2 - v - 1. Let j(b) = -3*b**4 - 2*b**3 + 2*b**2 - 1. Let n(w) = 6*c(w) - 15*j(w). Determine z, given that n(z) = 0.
-3, -1, 1
Let k = 27 - 19. Let z(v) be the third derivative of 0*v**3 + 0 - 1/200*v**6 + 1/300*v**5 + 0*v**4 - 1/1680*v**k + 1/350*v**7 + 0*v + 2*v**2. Factor z(s).
-s**2*(s - 1)**3/5
Let b(m) = 7*m**2 + 7*m - 4. Let r(n) = 4*n**2 + 4*n - 2. Suppose 0 = 3*f - 2*f + 5. Let o(y) = f*r(y) + 3*b(y). Factor o(q).
(q - 1)*(q + 2)
Let a = 2/151 + 1492/1359. Let r(j) be the first derivative of -2 - 4/3*j**2 + 2/3*j - a*j**3. Suppose r(s) = 0. Calculate s.
-1, 1/5
Let t(o) = -2*o**3 + 17*o**2 - 5. Let y(g) = 2*g**3 - 16*g**2 + 4. Let x(r) = 4*t(r) + 5*y(r). Solve x(k) = 0 for k.
0, 6
Suppose 3*o - x = 11, 0*x = 2*o + 2*x + 6. Let r(t) be the second derivative of -2*t + 0*t**3 + 0 - 1/6*t**4 + t**o. Factor r(u).
-2*(u - 1)*(u + 1)
Let w(l) = 3*l + 16. Let z be w(-8). Let g be (3 + 52/(-16))*z. Factor 1 + 3/2*a + 1/2*a**g.
(a + 1)*(a + 2)/2
Factor 2/5*x**4 - 8/5*x - 8/5*x**3 + 12/5*x**2 + 2/5.
2*(x - 1)**4/5
Let q(i) be the third derivative of -i**7/105 + i**6/60 + i**5/6 + i**4/4 - 3*i**2 - 17. Factor q(w).
-2*w*(w - 3)*(w + 1)**2
Factor 6/5 + 3/5*f - 3/5*f**2.
-3*(f - 2)*(f + 1)/5
Determine k so that 0*k - 5*k**3 + 5/2*k**4 + 0 + 5/2*k**2 = 0.
0, 1
Let h(b) be the second derivative of -b**7/10080 + b**6/2880 - b**4/12 - b. Let x(n) be the third derivative of h(n). Suppose x(a) = 0. What is a?
0, 1
Let q be 1478/1070 - 2 - -1. Let v = 2/107 + q. Determine b so that 0*b**3 + 2/5 - 4/5*b**2 + 0*b + v*b**4 = 0.
-1, 1
Let t(n) be the second derivative of -5*n**4/6 + 2*n**3/3 - 11*n. Factor t(p).
-2*p*(5*p - 2)
Find s such that 2*s - 17*s**4 - 9*s**3 + 11*s**4 + 14*s**3 - 10*s**2 + 9*s**3 = 0.
0, 1/3, 1
What is w in 324/7*w - 468/7*w**2 + 172/7*w**3 - 20/7*w**4 + 216/7 = 0?
-2/5, 3
Let f be (-637)/(-312) - 4/2. Let r(v) be the second derivative of -1/48*v**4 + 1/4*v**2 + 0 - v - f*v**3. Factor r(k).
-(k - 1)*(k + 2)/4
Let v be (15/20)/(3/2). Let c(k) be the first derivative of -1 + 3*k**2 + 4*k + 0*k**3 - v*k**4. Factor c(n).
-2*(n - 2)*(n + 1)**2
Let y be (-2)/(-10) + 144/30. Let c(k) be the first derivative of 3 - 1/9*k**4 + 2/9*k**2 - 2/9*k + 0*k**3 + 2/45*k**y. Factor c(g).
2*(g - 1)**3*(g + 1)/9
Let z(a) be the first derivative of -5*a**6/6 - 4*a**5 - 5*a**4 + 3. Factor z(r).
-5*r**3*(r + 2)**2
Let p = 1 - -6. Let q = p - 7. Suppose 0 - 1/4*s**4 - 1/4*s**2 + q*s + 1/2*s**3 = 0. What is s?
0, 1
Let x = -38914969/111 + 350588. Let h = x + -1/37. Find g such that -h*g - 2/3*g**4 - 8/3*g**3 - 2/3 - 4*g**2 = 0.
-1
Let r be ((-20)/6)/(4/6). Let i(f) = -9*f**4 + 13*f**3 + f**2 + 5*f. Let j(p) = -p**4 + p**3 + p**2 + p. Let a(x) = r*j(x) + i(x). Factor a(s).
-4*s**2*(s - 1)**2
Factor -3201*f + 12 + 2*f**2 + 2*f**2 + 3185*f.
4*(f - 3)*(f - 1)
Let h be (-1 + 2)/((-2)/4). Let w be ((-6)/(-60))/(h/(-5)). Let 1/4 + 0*j - w*j**2 = 0. Calculate j.
-1, 1
Suppose 4*j = 4*j - 5*j. Factor j + 7/4*r**5 + 0*r + 0*r**2 - 1/2*r**3 - 5/4*r**4.
r**3*(r - 1)*(7*r + 2)/4
Let g(v) = -2*v - 12. Let p be g(-8). Factor 2/3*u**p - 2/3*u - 2/9 + 4/9*u**3 - 4/9*u**2 + 2/9*u**5.
2*(u - 1)*(u + 1)**4/9
Factor -20/3*y**2 + 14/3*y + 2.
-2*(y - 1)*(10*y + 3)/3
Let x(w) be the second derivative of 0*w**2 + 0 - 1/21*w**7 + 1/10*w**5 + 2/15*w**6 - 1/3*w**4 + w + 0*w**3. Let x(n) = 0. What is n?
-1, 0, 1, 2
Let 57*n**2 - 18*n**2 + 12*n + 9 - 18*n**2 - 18*n**2 = 0. What is n?
-3, -1
Let j = -57 + 62. Let p(m) be the third derivative of 1/44*m**4 + 0 - 1/330*m**j - 2*m**2 + 0*m - 2/33*m**3. Find l such that p(l) = 0.
1, 2
Find f, given that -9/5*f + 16/5*f**2 + 6/5*f**4 - 1/5*f**5 + 2/5 - 14/5*f**3 = 0.
1, 2
Let s = 21 + -21. Let t(b) be the third derivative of 0*b**3 - 1/270*b**5 - 1/54*b**4 + 0*b + 2*b**2 + s. Let t(j) = 0. Calculate j.
-2, 0
Let z(k) be the second derivative of k**8/8400 + k**7/2100 - k**5/300 - k**4/120 - 5*k**3/6 - 4*k. Let w(r) be the second derivative of z(r). Factor w(u).
(u - 1)*(u + 1)**3/5
Let s = 52 + -47. Let d(o) be the second derivative of 1/6*o**3 - 1/20*o**s + 0 - 2*o - o**2 + 1/4*o**4 - 1/30*o**6. Factor d(t).
-(t - 1)**2*(t + 1)*(t + 2)
Let x(g) = -2*g**4 + 6*g**3 - 8*g**2 + 4*g. Let b(j) = 4*j**4 - 12*j**3 + 17*j**2 - 9*j. Let w(a) = 2*b(a) + 5*x(a). Factor w(q).
-2*q*(q - 1)**3
Let w(t) be the third derivative of t**7/1260 + t**6/180 + t**5/60 + t**4/24 + 2*t**2. Let r(u) be the second