2. Let -1/3*n + 1/3*n**2 - k = 0. Calculate n.
-1, 2
Let n(q) be the third derivative of q**5/60 + q**4/24 - q**3/3 - 7*q**2. What is m in n(m) = 0?
-2, 1
Factor 5*g**4 + 5*g - 8*g**3 - 7*g**2 + 6*g**3 + 2*g**2 - 3*g**3.
5*g*(g - 1)**2*(g + 1)
Let k = 333 + -333. Determine x, given that k - 2/7*x**2 + 4/7*x = 0.
0, 2
Suppose -3*w = w - 4. Let p(v) be the first derivative of -2*v**3 - 3*v**2 - 2*v - 1/2*v**4 - w. Factor p(t).
-2*(t + 1)**3
Let p be ((-6)/(-20))/(42/35). Let c be 2 - (-2 - (0 + 0)). Factor 0*n**2 - p - 1/2*n**3 + 1/2*n + 1/4*n**c.
(n - 1)**3*(n + 1)/4
Let a(m) be the first derivative of -m**6/18 + 16*m**5/15 - 25*m**4/3 + 304*m**3/9 - 224*m**2/3 + 256*m/3 - 39. Let a(h) = 0. Calculate h.
2, 4
Let v(j) = -6*j**4 + 6*j**3 + 6*j**2 + 4*j - 5. Let f(q) = 5*q**4 - 5*q**3 - 5*q**2 - 3*q + 4. Let t(a) = 5*f(a) + 4*v(a). Determine c, given that t(c) = 0.
-1, 0, 1
Let g be 6 + -3 + -4 + 4. Suppose -k + 3*z - 9 = 0, -2*k - g*z = 2*z - 15. Find a, given that -2/5*a**2 + 2/5*a + k = 0.
0, 1
Let x be (-56)/(-20) + 4/20. What is l in 4*l**4 + l**2 - l**x - l**3 + 2*l**5 - 5*l**2 = 0?
-2, -1, 0, 1
Suppose 0 = -3*u - 2*b + 59, -b - 33 = -2*u - 3. Suppose -4*f + 7 = -u. Solve -2*l**5 + 2*l**4 + 2*l**2 + 5*l + f*l**3 - 12*l**2 - l = 0.
-2, 0, 1
Let k be (8/40)/((-4)/(-5)). Let w(i) be the first derivative of 1/12*i**3 + 1/4*i + 2 - k*i**2. Factor w(h).
(h - 1)**2/4
Let m(o) = o + 2. Let c be m(0). Let p be ((-2)/(-8))/(1 + (-18)/48). Factor -8/5 - p*s**3 - c*s**2 - 16/5*s.
-2*(s + 1)*(s + 2)**2/5
Let g(y) be the first derivative of y**5/150 + y**4/60 + y**2/2 + 2. Let c(f) be the second derivative of g(f). Find s, given that c(s) = 0.
-1, 0
Let d(c) be the third derivative of 1/60*c**5 + 1/120*c**6 + 0*c + 0*c**4 + 0*c**3 - 1/210*c**7 + 8*c**2 - 1/336*c**8 + 0. Determine p, given that d(p) = 0.
-1, 0, 1
Solve 8/7 + 6/7*p - 2/7*p**2 = 0 for p.
-1, 4
Suppose -8 = -4*s + 2*s. Factor -2*o**4 - o**5 + 2 - s*o**3 + 7*o + 0*o + 14*o**2 + 6*o**3 - 6*o**2.
-(o - 2)*(o + 1)**4
Suppose -2/5*f**2 + 2/5 + 1/5*f - 1/5*f**3 = 0. Calculate f.
-2, -1, 1
Let s(y) = y**3 - 17*y**2. Suppose -3*q - 5*j - 10 = 10, -6 = 2*q - 4*j. Let k(c) = -c**3 + 26*c**2. Let z(o) = q*k(o) - 8*s(o). Factor z(p).
-3*p**2*(p - 2)
Factor -10/3*q - 8/3 - 2/3*q**2.
-2*(q + 1)*(q + 4)/3
Suppose 2*t - 2*t**2 + 6*t**3 + 6*t**2 + 2*t**4 + 2*t**2 = 0. Calculate t.
-1, 0
Let x(u) = -5*u**3 + 2*u**2 - 7*u + 7. Let n(z) = -4*z**2 + 2*z**3 + 0*z**3 + 3*z - 3 + 3*z**2. Let q(p) = -14*n(p) - 6*x(p). Find l such that q(l) = 0.
-1, 0
Let z be (-4)/528*-8*15. Factor 4/11 + z*q**2 - 14/11*q.
2*(q - 1)*(5*q - 2)/11
Let r = -47/70 - -21/10. Let r*x + 4/7*x**2 - 4/7 - 10/7*x**3 = 0. What is x?
-1, 2/5, 1
Let v(r) be the third derivative of -r**8/1344 - r**7/280 + r**5/60 + 8*r**2. Factor v(i).
-i**2*(i - 1)*(i + 2)**2/4
Let s be 3 - (2 - 5) - 3. Solve b**s - 4*b**3 + 3*b**2 + b**3 + b**2 = 0.
0, 2
Let j be (-1)/4 - 45/(-20). Factor 11*t - j*t**2 - 6*t**4 - 2*t**5 - 6*t**3 - 11*t.
-2*t**2*(t + 1)**3
Let q(l) be the first derivative of 4*l**5/5 - l**4/2 - 2*l**3 + l**2 + 2*l + 6. Find z, given that q(z) = 0.
-1, -1/2, 1
What is q in q**2 - 4*q**5 - 44*q**3 + 48*q + 32 - 4*q**4 - 20*q**4 - 9*q**2 + 0*q**2 = 0?
-2, -1, 1
Let w(f) be the first derivative of -f**4/16 - 4. Let w(r) = 0. What is r?
0
Let f be (217/93)/(14/12). Factor -1/2*s + 1/4*s**f + 1/4.
(s - 1)**2/4
Let q(h) = 2*h**2 + 3*h - 2. Let c be q(-4). Let i be (-4)/18 + 58/c. Suppose -m**3 + m - i + 3 + m**2 - m**4 = 0. What is m?
-1, 0, 1
Factor -9 - 4*t**2 + 2 - 24*t - 9 + 4*t.
-4*(t + 1)*(t + 4)
Let p(z) = -5*z**4 + 35*z**3 + 10*z**2 + 15. Let u(l) = -l**4 - l**3 - l**2 - 1. Let t(w) = p(w) + 15*u(w). Factor t(q).
-5*q**2*(2*q - 1)**2
Factor 0*c + 0*c**2 + 6/5*c**4 + 0 + 2/5*c**3.
2*c**3*(3*c + 1)/5
Find z such that -3*z**4 + 102*z**2 - 6*z**3 - 129*z**2 - 9*z**3 - 6 - 21*z = 0.
-2, -1
Let b(u) be the second derivative of -49*u**6/90 - 7*u**5/6 + u**4/12 + 10*u**3/9 - 2*u**2/3 - 2*u + 25. Find h such that b(h) = 0.
-1, 2/7
Let g = -17 + 17. Factor -1/3*l**4 + 2/3*l**2 + 0*l + g - 1/3*l**3.
-l**2*(l - 1)*(l + 2)/3
Suppose -3*d = -0*d - 6. Let c(j) = 5*j + 4*j + d - 3 - 4. Let z(q) = -q**2 - 19*q + 11. Let w(t) = -9*c(t) - 4*z(t). Factor w(u).
(u - 1)*(4*u - 1)
Let f be (1/(-2) - -1)*12. Let b be f*(4/3)/2. Factor 0*p**2 + 4*p**5 - 4*p**b - 2*p**5 - 3*p + 4*p**2 + p.
2*p*(p - 1)**3*(p + 1)
Factor 2/7*n + 2/7*n**2 + 0.
2*n*(n + 1)/7
Suppose 2*n + 1 = 5. Factor -5*m**4 + 4*m**n + 16*m - 7*m + m**4 - 5*m - 4*m**3.
-4*m*(m - 1)*(m + 1)**2
Let u(m) be the second derivative of m**6/20 + 3*m**5/40 - 3*m**4/8 - 5*m**3/4 - 3*m**2/2 - 9*m. Factor u(q).
3*(q - 2)*(q + 1)**3/2
Let n(j) be the first derivative of 0*j**3 + 4 + 0*j + 1/8*j**4 - 1/4*j**2. Let n(q) = 0. What is q?
-1, 0, 1
Let g(v) be the first derivative of -6*v**5/25 - 6*v**4/5 - 2*v**3 - 6*v**2/5 - 23. Determine l, given that g(l) = 0.
-2, -1, 0
Let w be (160/(-15))/(-4) + -2. Let c(v) be the second derivative of -w*v**3 + 3*v + 0 + 1/2*v**2 + 17/48*v**4 - 1/16*v**5. Suppose c(q) = 0. What is q?
2/5, 1, 2
Let o(a) be the second derivative of 1/6*a**4 - 5*a - 4/3*a**3 + 4*a**2 + 0. What is j in o(j) = 0?
2
Let d(m) be the third derivative of -m**5/30 - m**4/3 - 2*m**2. Solve d(a) = 0 for a.
-4, 0
Find j such that 19/4*j**3 + 1/4*j**5 - 7/4*j**4 + 4*j - 1 - 25/4*j**2 = 0.
1, 2
Let v be (-1 - (-1)/(-1))*(-11)/231. Let p(d) be the first derivative of 2 + 0*d + 1/14*d**4 + 0*d**2 + v*d**3. Factor p(z).
2*z**2*(z + 1)/7
Let f(t) = t**2 - 2*t + 6. Let p(o) = 11 - o + 3*o - 3*o - 4 + o**2. Let g(h) = -3*f(h) + 2*p(h). Factor g(w).
-(w - 2)**2
What is n in 3657 + 84*n**2 + 1831 + 2*n**3 + 1506*n + 0*n**3 - 330*n = 0?
-14
Let g(w) be the first derivative of w**6/2 - 6*w**5/5 + 2*w**3 - 3*w**2/2 + 12. What is h in g(h) = 0?
-1, 0, 1
Let k be ((-24)/14)/(5 + -13 + 6). Find b such that 0 + k*b**2 + 2/7*b**3 + 4/7*b = 0.
-2, -1, 0
Solve 3/7*o**5 + 3/7*o**4 - 3/7*o**3 + 0 - 3/7*o**2 + 0*o = 0.
-1, 0, 1
Let x(a) be the second derivative of a**6/90 + 2*a**5/15 + 2*a**4/3 + 7*a**3/6 + 2*a. Let g(y) be the second derivative of x(y). Find h, given that g(h) = 0.
-2
Let g(z) be the third derivative of z**9/10080 - z**8/1920 + z**7/1008 - z**6/1440 - z**4/12 + 10*z**2. Let t(q) be the second derivative of g(q). Factor t(f).
f*(f - 1)**2*(3*f - 1)/2
Let x(f) be the first derivative of -9*f**5/10 + 15*f**4/8 + f**3/2 - 15*f**2/4 + 3*f - 5. Solve x(t) = 0 for t.
-1, 2/3, 1
Let q(a) be the first derivative of 1/3*a**2 + 0*a + 2/3*a**3 + 6. What is o in q(o) = 0?
-1/3, 0
Suppose 0*w**3 + 0 + 4/7*w**4 - 4/7*w**2 - 2/7*w**5 + 2/7*w = 0. Calculate w.
-1, 0, 1
Let n = 2 - -1. Solve 0 - 6*o + 6*o**2 + 1 - 2*o**n + 1 = 0.
1
Let h(b) = -b**3 + b**2 + 1. Let v(q) be the third derivative of -q**6/40 + q**5/60 + q**4/12 + 2*q**3/3 - 3*q**2. Let d(g) = 4*h(g) - v(g). Factor d(c).
-c*(c - 2)*(c - 1)
Find t such that 5/4*t**4 - 5/4*t + 5/4*t**3 + 5/2 - 15/4*t**2 = 0.
-2, -1, 1
Let g(z) be the second derivative of 4/5*z**2 + 0 + 5*z + 0*z**3 - 1/30*z**4. Factor g(b).
-2*(b - 2)*(b + 2)/5
Suppose 0*j = -3*j + 18. Suppose -6*i + j = -3*i. Determine u, given that 8/7*u**i + 6/7*u**3 - 2/7*u**5 - 4/7*u**4 - 8/7*u + 0 = 0.
-2, 0, 1
Let n(z) be the second derivative of -8/3*z**3 + 0*z**2 + 0 - 9/5*z**5 - 10/3*z**4 - 1/21*z**7 - 7/15*z**6 - 5*z. Factor n(l).
-2*l*(l + 1)*(l + 2)**3
Factor -24*i**3 + 17*i**3 - 68*i - 18*i**3 - 32*i - 115*i**2 + 60.
-5*(i + 2)*(i + 3)*(5*i - 2)
Find j such that -24/5*j**4 + 0 - 3/5*j**2 + 0*j - 12/5*j**5 - 3*j**3 = 0.
-1, -1/2, 0
Factor -3*s**3 - 9*s**3 + 7*s**3 + 15*s**2 - 20.
-5*(s - 2)**2*(s + 1)
Suppose 10 = -0*y + 2*y. Let d(z) = -z**3 + 4*z**2 + 6*z - 3. Let w be d(5). Factor 3*b**5 - 2*b**y + w*b**4 - b - 2*b**2 + 0*b**4.
b*(b - 1)*(b + 1)**3
Let s(c) = 7 - 2 - 7*c**3 + 5*c**2 + 9*c - 7*c**4 - 4*c. Let t(z) = 6*z**4 + 6*z**3 - 4*z**2 - 4*z - 4. Let v(n) = 4*s(n) + 5*t(n). Find g such that v(g) = 0.
-1, 0
Let k(m) = -m**3 - 6*m**2 - 6*m - 7. Let y be k(-5). Let h be (y/(-14))/(5/10). Solve 0 - 2/7*o**3 - 4/7*o**2 - h*o = 0.
-1, 0
Solve -3/5*b**3 - 6/5*b - 9/5*b**2 + 0 = 0 for b.
-2, -1, 0
Let m(a) be the first derivative of 3 - 4/13*a**2 + 4/39*a**3 - 1/78*a**4 - 4*a. Let k(d) be the first derivative