k - 2)/5
Find x such that 45*x**4 - 55*x + 63*x**3 + 10*x + 6*x**2 + 42*x**3 + 10 - x**2 = 0.
-2, -1, 1/3
Let z be 10/(-8) - 4851/(-1372). Solve 20/7*k**2 + 4/7*k**4 + 8/7*k + z*k**3 + 0 = 0.
-2, -1, 0
Let g be -3*(1 - (2 + 0)). Determine b, given that -3*b**4 + 0*b**4 + b**4 + 2*b**g = 0.
0, 1
Let a = 23 - 18. Suppose -n**2 - 12*n + a*n + 6*n = 0. What is n?
-1, 0
Let t(p) be the third derivative of p**5/30 + p**4/3 + 4*p**3/3 - p**2. Factor t(c).
2*(c + 2)**2
Find o such that -9/7 - 15/7*o**2 - 3*o - 3/7*o**3 = 0.
-3, -1
Let -2*l**5 - 8*l**5 + 7*l**5 - 3*l**4 = 0. Calculate l.
-1, 0
Let s(u) = 8*u**4 - 17*u**3 - 2*u**2. Let x(p) = -p**3. Let o(l) = 2*s(l) - 22*x(l). Determine j so that o(j) = 0.
-1/4, 0, 1
Let d be (6 + -21)*(-2)/3. Let n = d + -10. Factor n - 3*l**3 - 2/3*l**2 + 0*l - 7/3*l**4.
-l**2*(l + 1)*(7*l + 2)/3
Let g = 95/126 + -9/14. Let h = 2/9 + g. Determine w so that h*w**3 - 1/3*w**2 - 1/6 + 1/2*w**4 - 1/2*w + 1/6*w**5 = 0.
-1, 1
Let b(u) = -u**4 + 15*u**3 + u**2 - 11*u + 4. Let t(j) = -j**4 + 30*j**3 + j**2 - 21*j + 9. Let a(o) = -9*b(o) + 4*t(o). Factor a(n).
5*n*(n - 3)*(n - 1)*(n + 1)
Let k = 2 + 6. Let d(c) = -3*c - 1. Let q be d(-1). Find z such that -2*z**2 + 12*z - k + 0*z**2 + z**3 - 4*z**q = 0.
2
Let k be 1*(-6)/3 + 6. Suppose 4*c = -2*u - 12, k*u - 4*c - 8 = 16. Find f such that 7 - 108*f**3 - 1 - 99*f**u - 9 - 30*f = 0.
-1/3, -1/4
Let t(l) = 6*l**3 - 15*l**2 + 39*l + 81. Let y(n) = -n**3 + 3*n**2 - 8*n - 16. Let s(i) = 4*t(i) + 21*y(i). What is d in s(d) = 0?
-2, -1, 2
Let q(v) = -v**3 + v**2. Let y(p) = -3*p**3 + 2*p**2 + p. Let g(k) = 4*q(k) - y(k). What is w in g(w) = 0?
0, 1
Let s(a) = 3*a**2 - 5*a + 7. Let l(k) = -5*k**2 + 8*k - 11. Suppose -3*q = u - 8, 0*u - u - 5*q = -8. Let r(x) = u*s(x) + 5*l(x). Factor r(m).
-(m - 1)*(m + 1)
Solve -162/11 - 2/11*j**2 + 36/11*j = 0 for j.
9
Suppose 0 = -t + 2, l + 5*t = 2*t + 8. Let a(r) be the second derivative of -1/42*r**4 + 2*r + 1/7*r**l + 0 + 0*r**3. Find b such that a(b) = 0.
-1, 1
Let p(q) be the third derivative of q**7/630 - q**6/120 + q**5/90 - 7*q**2. Factor p(g).
g**2*(g - 2)*(g - 1)/3
Let x = 52 + -85. Let i = 67/2 + x. Factor -1/2*n - i*n**2 + 0.
-n*(n + 1)/2
Suppose 3 - 8 = -5*p. Let s be p/(-28) + (-8)/(-28). Solve -1/2*w**2 + 1/4*w**3 + 0 + s*w = 0 for w.
0, 1
Let q = 0 - -2. Let y(t) be the first derivative of -1/16*t**4 + 1/8*t**q + 1/12*t**3 - 1/20*t**5 + 0*t - 1. Suppose y(p) = 0. What is p?
-1, 0, 1
Let m be 3*13/6 - (-6)/(-4). Let f(j) be the second derivative of 1/3*j**3 + 0 + 3*j + 0*j**2 - 1/2*j**4 - 1/15*j**6 + 3/10*j**m. Factor f(v).
-2*v*(v - 1)**3
Let d(o) = 3*o + 27. Let c be d(-9). Determine x, given that -x - 1/2*x**2 + c = 0.
-2, 0
Let z = 5 - -9. Factor -15 - 12 + 2*d**2 - z*d**2 + 2*d**3 + 11 + 24*d.
2*(d - 2)**3
Let w be 4/(-7)*(-35)/30. Suppose 1/3*r**3 + 0 + 1/3*r + w*r**2 = 0. What is r?
-1, 0
Let t(h) be the second derivative of 0*h**2 - 2*h + 1/70*h**5 - 1/147*h**7 - 1/105*h**6 + 0*h**3 + 0 + 1/42*h**4. Solve t(j) = 0.
-1, 0, 1
Let w(v) = -v**4 - 5*v**3 + 15*v**2 + 5*v - 6. Let n(t) = -5*t**4 - 20*t**3 + 60*t**2 + 20*t - 25. Let z(x) = 4*n(x) - 15*w(x). Factor z(p).
-5*(p - 1)**2*(p + 1)*(p + 2)
Let 4/7 - 10/7*d + 6/7*d**2 + 2/7*d**3 - 2/7*d**4 = 0. What is d?
-2, 1
Let z(t) be the first derivative of 3*t**4/4 + 4*t**3 + 15*t**2/2 + 6*t - 29. What is r in z(r) = 0?
-2, -1
Suppose 12 = 6*z - 3*z. Let g be (2/4 + 1)*2. Let 4*h**g + 3*h - 3*h - z*h + 2 - 2*h**4 = 0. What is h?
-1, 1
Let n(p) = 6*p**4 - 6*p**3 - 18*p**2 - 10*p - 12. Let z(d) = -d**3 + d - 1. Let b(q) = -n(q) + 8*z(q). Let b(t) = 0. Calculate t.
-1, -1/3, 2
Let j = 221 - 219. Let v(s) be the third derivative of 1/210*s**5 - 2*s**j + 0 + 1/21*s**3 - 1/42*s**4 + 0*s. Find w, given that v(w) = 0.
1
Let h = -19 + 24. Let a(t) be the second derivative of -2*t**2 + 1/4*t**4 + 0*t**3 + 2*t + 0 + 1/20*t**h. Suppose a(w) = 0. Calculate w.
-2, 1
Let a(l) be the first derivative of -2*l**3/15 + l**2/5 + 4*l/5 - 37. Solve a(h) = 0 for h.
-1, 2
Let o(r) = 5*r**4 - 8*r**3 - r**2 + 6*r + 6. Let m(k) = 9*k**4 - 15*k**3 - 2*k**2 + 11*k + 11. Let f(s) = -6*m(s) + 11*o(s). Let f(n) = 0. Calculate n.
-1, 0
Let z(i) be the first derivative of i**5/35 - i**4/14 + i**2/7 - i/7 - 19. Factor z(v).
(v - 1)**3*(v + 1)/7
Let g be (69/15 + -5)*-5. Factor 0*n**g + 2/3*n**3 + 0 - 2/3*n.
2*n*(n - 1)*(n + 1)/3
Determine p, given that 3*p**2 - p**3 - 2*p**2 + p - p**4 + 0*p**2 = 0.
-1, 0, 1
Let h(r) be the third derivative of r**7/2940 + r**6/360 + r**5/210 + r**4/6 + 2*r**2. Let t(d) be the second derivative of h(d). Factor t(n).
2*(n + 2)*(3*n + 1)/7
Factor -147/4*t**5 + 3*t**2 + 231/4*t**4 + 0 - 24*t**3 + 0*t.
-3*t**2*(t - 1)*(7*t - 2)**2/4
Suppose -18 = -6*f + 3*f. Suppose 5*k + 0 - 10 = 0. What is l in -5 - 12*l**k + f*l + 2 - 21*l = 0?
-1, -1/4
Suppose 5*z - 10 = -0*z. Let y be (-9)/6*(-4)/6. Factor 1 + 4*t + y + z*t**2 + 0*t**2.
2*(t + 1)**2
Let m(s) be the first derivative of 0*s**2 + 9 - 1/20*s**5 + 0*s + 1/12*s**3 + 1/24*s**6 - 1/16*s**4. Let m(c) = 0. What is c?
-1, 0, 1
Suppose -2/3*h**2 - 4/9 - 10/9*h = 0. Calculate h.
-1, -2/3
Let q(y) = -y**2 + 4. Let d be q(2). Suppose 2/7*o - 2/7*o**3 - 2/7*o**4 + d + 2/7*o**2 = 0. What is o?
-1, 0, 1
Let u = 215/1926 - 6/107. Let k(z) be the second derivative of 1/45*z**6 + 2*z + 0 + 0*z**5 + 0*z**2 + 0*z**3 - u*z**4. Factor k(r).
2*r**2*(r - 1)*(r + 1)/3
Factor -28*y + 42*y**2 - 17*y - 5*y**4 + 25*y**3 - 57*y**2.
-5*y*(y - 3)**2*(y + 1)
Let h = -2347/1785 - -9/170. Let q = h + 10/7. Factor -1/6*l**4 + 1/6*l**3 + q*l**2 - 1/6*l + 0.
-l*(l - 1)**2*(l + 1)/6
Let i be 16/6*6/4. Suppose -4*q = i*c + 8, 0*c = c + 4*q + 17. Suppose 0*m + 0*m**c - 1/2*m**4 + 1/2*m**2 + 0 = 0. Calculate m.
-1, 0, 1
Let b(p) be the second derivative of 3*p**6/50 + 3*p**5/100 - p**4/10 + 10*p. Solve b(o) = 0 for o.
-1, 0, 2/3
Let o(d) be the second derivative of -1/12*d**4 + d**2 + 2*d - 1/6*d**3 + 0. Factor o(i).
-(i - 1)*(i + 2)
Let d(a) be the second derivative of 0 - 1/2*a**2 + 1/10*a**6 - 1/10*a**5 - 1/42*a**7 - 2*a + 1/2*a**3 - 1/6*a**4. Determine o, given that d(o) = 0.
-1, 1
Let j = 33 + -33. Factor 2/7*s**3 + 0 + j*s**2 - 2/7*s.
2*s*(s - 1)*(s + 1)/7
Let q(r) be the third derivative of r**7/945 + r**6/540 - r**5/270 - r**4/108 - 5*r**2. Factor q(y).
2*y*(y - 1)*(y + 1)**2/9
Let r(u) be the first derivative of 1/10*u**5 + 2*u + 3/4*u**4 + 1 + 3*u**2 + 13/6*u**3. Suppose r(t) = 0. Calculate t.
-2, -1
Solve -1/6*h**5 + 0 + 1/6*h + 1/3*h**2 - 1/3*h**4 + 0*h**3 = 0.
-1, 0, 1
Let j = -2/143 + 868/715. Let o = j - 7/10. What is t in -1/4 - o*t - 1/4*t**2 = 0?
-1
Let 8/9 - 4/9*y**2 - 4/9*y = 0. Calculate y.
-2, 1
Let o(g) = -g**3 - 9*g**2 - 9*g - 7. Let f(q) = -q**3 - 8*q**2 - 8*q - 6. Let i(y) = -6*f(y) + 5*o(y). Factor i(h).
(h + 1)**3
Find d, given that 2*d**2 - 2*d**2 + 0*d**2 + 2*d + 2*d**2 = 0.
-1, 0
Let r = -42 - -63. Let o = -11 + r. Determine n so that n**3 + 12*n**5 - n**3 + 12*n**5 - o*n**4 - 4*n**3 = 0.
-1/4, 0, 2/3
Let d(c) be the third derivative of -1/780*c**6 + 0*c**3 + 7*c**2 + 0*c**5 + 0*c + 0 + 0*c**4. Determine a, given that d(a) = 0.
0
Let y be 21/(-6)*(-12)/21. Solve -2/5*c**3 + 2/5 + 6/5*c**y - 6/5*c = 0 for c.
1
Let l(o) be the first derivative of -o**4/2 + 2*o**3/3 + o**2 - 2*o + 4. Factor l(s).
-2*(s - 1)**2*(s + 1)
Let r = -173 - -173. Let r*s - 1/3 - 4*s**4 - 4/3*s**3 + 3*s**2 = 0. Calculate s.
-1, -1/3, 1/2
Let t(r) = -6*r**2 - 6*r + 3. Let g(x) = -x**3 - x**2 + 1. Let q(f) = 3*g(f) - t(f). Suppose q(y) = 0. Calculate y.
-1, 0, 2
Let d(x) be the third derivative of x**6/150 + x**5/15 + 4*x**4/15 + 8*x**3/15 + 29*x**2. Find a, given that d(a) = 0.
-2, -1
Determine t, given that -1/2*t**3 + 2 - 3/2*t**2 + 0*t = 0.
-2, 1
Let k(x) = x**3 + 8*x**2 - 8*x + 13. Let r be k(-9). Determine a so that 11*a**4 - 5*a**r + 2*a**5 - 6*a**2 + 0*a - 4*a + 2*a**3 = 0.
-2, -1, 0, 1
Suppose 4*u + 9 = 17. What is y in 5/4*y**u - 1/2*y + 0 = 0?
0, 2/5
Let z = -9 - -11. Factor -5*t**2 + t + 3*t**3 - 2*t**2 + 2*t + t**z.
3*t*(t - 1)**2
Let u(y) be the second derivative of 5*y**4/12 + 5*y**3/6 - 5*y**2 - 3*y. Factor u(r).
5*(r - 1)*(r + 2)
Let m(x) = -2*x**3 - 4*x**2 - 3*x - 2. Let q be m(-2). Let c(a) be the first derivative of 0*a**2 + a**3 + 3 + 0*a + 3/4*a**q. Fac