- 2 = -w. Find t, given that t**5 + 2*t**2 - 2*t**4 + 0*t**2 - d*t + t = 0.
-1, 0, 1
Let -1/2 - 1/4*q**2 - 3/4*q = 0. What is q?
-2, -1
Determine n so that -30*n - 15 + 21*n**2 - 6*n**2 - 10*n = 0.
-1/3, 3
Let b(r) be the third derivative of -r**5/100 + 3*r**4/40 + 4*r**2. Find y, given that b(y) = 0.
0, 3
Let n = -2354/5 + 472. Let l = -2 - -2. Factor n*u - 3/5*u**2 + l.
-3*u*(u - 2)/5
Let 0 - 4/13*v**4 + 0*v + 0*v**2 + 2/13*v**5 + 2/13*v**3 = 0. What is v?
0, 1
Let l(r) be the first derivative of 0*r**3 + 0*r - 1/90*r**5 + 1/54*r**4 + 1/540*r**6 + 3/2*r**2 - 3. Let m(f) be the second derivative of l(f). Factor m(t).
2*t*(t - 2)*(t - 1)/9
Let p(i) be the first derivative of i**6/15 - i**4/5 + i**2/5 + 16. Find q, given that p(q) = 0.
-1, 0, 1
Suppose 2/5*z**5 - 2/5*z**2 + 2/5*z**4 + 0*z + 0 - 2/5*z**3 = 0. Calculate z.
-1, 0, 1
Suppose -4*q + 15 = -5*p, -4*p - p = -5*q + 20. Find h, given that -h**3 - 15*h**5 + 25*h**q - 11*h**5 - 2*h**4 = 0.
-1, 0
Let z(l) = -4 - 3*l - l + 2. Suppose 4*c + 3 + 5 = 0. Let r(n) = -n**4 + n**3 + n**2 + n + 1. Let s(o) = c*r(o) - z(o). Let s(y) = 0. Calculate y.
-1, 0, 1
Let i(m) be the third derivative of -1/210*m**5 - 1/84*m**4 - 2*m**2 + 0*m + 2/21*m**3 + 0. Suppose i(v) = 0. Calculate v.
-2, 1
Suppose 0 = 2*t + 2*u - 10, 2*t + 4*u + 6 = 22. What is r in r**2 - 2 + 0*r**2 + 0*r**t + r = 0?
-2, 1
Let l(n) be the third derivative of n**5/20 + 5*n**4/8 + 3*n**3 + 30*n**2 + 2. Factor l(g).
3*(g + 2)*(g + 3)
Let h(r) be the second derivative of -r**7/42 + r**5/10 - r**3/6 - 4*r. Factor h(m).
-m*(m - 1)**2*(m + 1)**2
Let t be ((-6)/4)/((-3)/30). Let y = -8 + t. Solve -2*l - y*l**4 - 4*l**4 - 15*l**3 - l**5 - 2*l**5 - 9*l**2 = 0 for l.
-1, -2/3, 0
Let s(k) = -6*k**3 + 4*k**2 + 6*k - 4. Let m(w) = -7*w**3 + 5*w**2 + 7*w - 5. Let t(g) = -4*m(g) + 5*s(g). Find d such that t(d) = 0.
-1, 0, 1
Suppose -b + 2*z = -111, 3*b - 149 = 5*z + 183. Let o = b + -543/5. Let -o*l**3 + 0 - 4/5*l**2 - 2/5*l = 0. What is l?
-1, 0
Let f(h) = h**2 + 9*h - 9. Let u be f(-9). Let c = 11 + u. Find o such that 1 - 3/2*o + 1/2*o**c = 0.
1, 2
Let l be (1914/54)/11 + 2/(-9). Let g(h) be the second derivative of 1/105*h**6 + 1/7*h**2 + 1/7*h**4 + l*h - 2/35*h**5 - 4/21*h**3 + 0. Factor g(s).
2*(s - 1)**4/7
Let q(t) be the first derivative of 0*t - 2/5*t**4 - 4/25*t**5 + 4/15*t**3 - 6 + 4/5*t**2. Suppose q(h) = 0. Calculate h.
-2, -1, 0, 1
Determine g, given that -9/4*g**2 + 3/8*g**3 + 9/4 - 3/8*g = 0.
-1, 1, 6
Find c, given that -5*c**3 + 6*c**2 + 8*c**2 - 10 + 15*c - 14*c**2 = 0.
-2, 1
Suppose -3*r = 2*f - 31, -4*f + 4*r + 32 = -0*f. Determine t, given that -f*t + 2 + 35/2*t**2 - 25/4*t**3 = 0.
2/5, 2
Factor 0*j + 4/7*j**2 + 0 - 4/7*j**3 - 4/7*j**4 + 4/7*j**5.
4*j**2*(j - 1)**2*(j + 1)/7
Let n(x) be the second derivative of -3*x**5/20 + 5*x**4/4 - 4*x**3 + 6*x**2 + 7*x. Solve n(v) = 0 for v.
1, 2
Factor 105*l**2 + l**3 - 2*l**4 + 2*l**3 - l**5 - 105*l**2.
-l**3*(l - 1)*(l + 3)
Let d(x) = 6*x**2 + 2*x - 28. Let o(c) = 2*c**2 + c - 9. Let l(t) = 3*d(t) - 10*o(t). Factor l(j).
-2*(j - 1)*(j + 3)
Let x(k) be the first derivative of -k**6/900 + 2*k**3/3 - 2. Let s(u) be the third derivative of x(u). Factor s(w).
-2*w**2/5
Let o(h) be the first derivative of -h**6/60 - h**5/40 - h**4/96 - h**2 + 1. Let k(b) be the second derivative of o(b). Determine x, given that k(x) = 0.
-1/2, -1/4, 0
Let b = 383/5 - 76. Factor 1/5*m**3 + 1/5 + 3/5*m + b*m**2.
(m + 1)**3/5
Let k(o) be the third derivative of 4/21*o**3 - 4*o**2 - 1/210*o**6 - 1/70*o**5 + 0 + 1/21*o**4 + 0*o + 1/735*o**7. Find c such that k(c) = 0.
-1, 2
Suppose -12 = -3*p - 0*p. Suppose 3*y + p = -x + 10, -x + 6 = -2*y. Factor x*j**4 - 2*j**4 + 0*j**5 + 2*j**5 - 4*j**2 - 2*j.
2*j*(j - 1)*(j + 1)**3
Factor y**2 - 2*y**2 - 3*y + 2*y**2.
y*(y - 3)
Let h(w) = w**3 - 4*w**2 + w - 6. Let z(l) = -l**3 + 4*l**2 - 2*l + 5. Let i = -17 - -20. Let u(p) = i*h(p) + 4*z(p). Solve u(b) = 0 for b.
1, 2
Let l = 6 - 13. Let z be 38/14 + (-2)/l. Factor 6*t**2 + 6*t**z + 12*t + 5*t**4 - 4*t**4 + 4 + 7*t**2.
(t + 1)**2*(t + 2)**2
Let w(c) be the first derivative of 3/5*c + 1/15*c**3 - 2/5*c**2 + 4. Find f, given that w(f) = 0.
1, 3
Let o(n) be the first derivative of 0*n**2 - 1/6*n**4 - 4 - 2/9*n**3 + 0*n + 1/9*n**6 + 2/15*n**5. Find u such that o(u) = 0.
-1, 0, 1
Let -3/2*c + 5/4 + 1/4*c**2 = 0. What is c?
1, 5
Let l(b) = 2*b**3 - 9*b**2 - 9*b + 16. Let o(r) = -r**3 + 6*r**2 + 6*r - 11. Let s(n) = 5*l(n) + 7*o(n). Factor s(p).
3*(p - 1)**2*(p + 1)
Let j be 3 + (1 - 705/(-9)). Let s = 83 - j. Factor 0 - s*o**2 + 2/3*o**3 + 2/3*o**4 - 2/3*o.
2*o*(o - 1)*(o + 1)**2/3
Solve -1/4*g - 1/4*g**4 - 3/4*g**3 + 0 - 3/4*g**2 = 0.
-1, 0
Factor 0*h + 2/9*h**2 - 2/9*h**4 + 0 + 2/9*h**5 - 2/9*h**3.
2*h**2*(h - 1)**2*(h + 1)/9
Suppose -s - 13 = 2*m, -5*m - s + 21 = 52. Let k = m - -6. Factor -5 - 2*z - z**2 + 0 + 4 + k*z**2.
-(z + 1)**2
What is a in -5/8*a**4 + 7/8*a + 1/2*a**5 - 11/8*a**3 - 1/4 + 7/8*a**2 = 0?
-1, 1/4, 1, 2
Let u be 7 + (-13)/((-78)/(-40)). Factor 1/3*a**3 - u*a + a**4 + 0 - a**2.
a*(a - 1)*(a + 1)*(3*a + 1)/3
Suppose 4*v - 2*j = v + 24, 3*j + 21 = 3*v. Factor -6*b**3 + b + 3*b**5 + v*b**4 - 2*b**4 - 6*b**5.
-b*(b - 1)**3*(3*b + 1)
Let o(d) = 3*d**5 + d**4 + 3*d**3 + 3*d**2 + 2*d. Let v(l) = 4*l**5 + l**4 + 3*l**3 + 4*l**2 + 3*l. Let s(y) = 5*o(y) - 4*v(y). Factor s(c).
-c*(c - 2)*(c - 1)*(c + 1)**2
Let w(j) be the third derivative of -2*j**8/147 - 12*j**7/245 - j**6/15 - 3*j**5/70 - j**4/84 - 2*j**2. What is l in w(l) = 0?
-1, -1/2, -1/4, 0
Suppose m = 1 + 3. What is x in -4*x - 4*x + m*x - 18*x**2 - 14*x**3 = 0?
-1, -2/7, 0
Let f be 21/9 - 1/3. Let j(s) be the second derivative of -1/12*s**3 + 0 + 0*s**2 - 1/12*s**4 + f*s - 1/40*s**5. Let j(n) = 0. Calculate n.
-1, 0
Let g = -3 - -3. Suppose -4*u + 0*u = g. Find x such that -2*x**3 + 8*x**2 + u*x**2 - 8*x + 0*x**3 = 0.
0, 2
Let l(c) be the second derivative of -c**5/10 - 2*c**4/3 - 5*c**3/3 - 2*c**2 - c. Factor l(j).
-2*(j + 1)**2*(j + 2)
Let m(f) = -3*f**2 - 5*f - 2. Let k(d) = -d**2 - 7*d - 6*d**2 - 4*d - 4. Let s(b) = 4*k(b) - 9*m(b). Suppose s(l) = 0. Calculate l.
-1, 2
Let i(o) = -o**2 + 19*o + 6. Let q(t) = -2*t**2 + 37*t + 11. Let m(l) = -11*i(l) + 6*q(l). Let x(b) = b + 6*b - b. Let c(u) = 2*m(u) - 5*x(u). Factor c(p).
-2*p*(p + 2)
Find t such that -2*t**3 - 3*t**2 + 3*t**3 - 6*t**2 + 6*t + 2*t**3 = 0.
0, 1, 2
Suppose -2*h = -7*h + 10. Find x such that 0*x**3 - 3*x**h - x**3 + 4*x**3 = 0.
0, 1
Let q(d) = -2*d**4 + 20*d**3 - 54*d**2 + 50*d - 18. Let c(k) = -2*k**4 + 19*k**3 - 54*k**2 + 50*k - 19. Let j(z) = 2*c(z) - 3*q(z). Solve j(n) = 0.
1, 8
Let t(z) = -5*z**2 - 6*z - 1. Let n(s) = -55*s**2 - 65*s - 10. Let f(i) = -4*n(i) + 45*t(i). Suppose f(o) = 0. Calculate o.
-1
Let b(c) be the first derivative of c**5/2 + 5*c**4/4 - 13. Suppose b(u) = 0. Calculate u.
-2, 0
Let u(q) = -q**3 - 6*q**2 + q + 6. Let c be u(-6). Suppose c*b = -3*b + 12. Factor 4*j + 8*j**2 + 8*j**b - 2*j + 12*j**3 + 2*j**5 + 0*j.
2*j*(j + 1)**4
Suppose -7*s + 9*s - 4 = 0. Let k(z) be the first derivative of z**3 + 1 + 3/4*z**4 + 0*z + 1/5*z**5 + 1/2*z**s. Factor k(d).
d*(d + 1)**3
Let a = -5 + 10. Suppose a*f = f + 12. Let -5 + f*d**2 + 1 - 6*d - 5*d**2 = 0. Calculate d.
-2, -1
Let t(h) be the first derivative of h**6/3 - 3*h**5/2 + 5*h**4/2 - 5*h**3/3 + h/2 + 4. Factor t(u).
(u - 1)**4*(4*u + 1)/2
Determine k, given that 4/3*k**4 + 0*k + 0*k**3 + 0*k**2 - 4/3*k**5 + 0 = 0.
0, 1
Let c(u) = -u**2 - 5*u - 4. Let y(v) = v**2 + 5*v + 4. Let f(n) = -2*c(n) - 3*y(n). Factor f(h).
-(h + 1)*(h + 4)
Let i = 10 + -20/3. Factor -2/3*m**5 + 0 + 2*m**3 - 2/3*m**4 + 4/3*m + i*m**2.
-2*m*(m - 2)*(m + 1)**3/3
Solve 0*z - 2/9*z**2 + 0 + 2/9*z**4 + 0*z**3 = 0 for z.
-1, 0, 1
Let y(t) be the first derivative of 2*t**3/3 - t**2 - 4*t + 25. Suppose y(q) = 0. Calculate q.
-1, 2
Let p(z) be the first derivative of z**5/60 - z**4/12 + z**3/6 - z**2/6 + 5*z + 6. Let h(m) be the first derivative of p(m). Factor h(q).
(q - 1)**3/3
Let s be ((-18)/(-21))/((-2)/(-42)). Suppose -2*o + a = -3 - 4, 4*o = -2*a + s. Factor 0*p - 2/5*p**o - 2/5*p**3 + 0*p**2 + 0.
-2*p**3*(p + 1)/5
Find v, given that 0*v + 1/8*v**3 + 1/8*v**2 + 0 = 0.
-1, 0
Factor 1/5*t**2 - 2/5*t - 3/5.
(t - 3)*(t + 1)/5
Let x = 1317/4 - 329. Factor -x