a) be the second derivative of -a**3/6 - a**2 - 2*a. Let y be s(-5). Suppose -4*k**3 + k + 0*k + 3*k**y = 0. What is k?
-1, 0, 1
Suppose -2*c - 5*y + 8 = 0, -16 = -4*c - 0*c + 4*y. Suppose 0 = -0*j + 5*j - 20. Find h such that -h**4 - c*h**2 - h**j + 6*h**2 = 0.
-1, 0, 1
Let b(n) be the first derivative of n**4/16 + n**3/4 - 9*n**2/8 + n - 5. Let m(o) be the first derivative of b(o). Solve m(c) = 0 for c.
-3, 1
Suppose -s + 0 + 2 = 0. Suppose -5*l + 5*o + 30 = 0, 5 = -s*o - 1. Let 2*q - l*q - 2*q**5 + 4*q**3 - q = 0. What is q?
-1, 0, 1
Let f(u) be the first derivative of 15*u**8/224 - u**7/10 - u**6/60 + u**5/15 - u**2 - 4. Let m(q) be the second derivative of f(q). Factor m(l).
l**2*(3*l - 2)**2*(5*l + 2)/2
Let m be ((-51)/(-357))/((-3)/(-7)). Let 1/6*l**3 + 1/6*l**4 + 0 - m*l**2 + 0*l = 0. What is l?
-2, 0, 1
Let n be ((-12)/15)/(8/(-20)). Let q be 2*(0 - 1/(-1)). Factor n*j**2 + j**2 - 4*j**q.
-j**2
Let z(w) be the second derivative of -w**4/12 + w**3 - 3*w**2/2 + w. Let f be z(5). Determine q so that -14/9*q + 2/9 + 10/3*q**2 - f*q**3 = 0.
1/3, 1
Let t be 35/300*1/14. Let k(a) be the third derivative of 1/60*a**5 - t*a**6 - 1/210*a**7 + 0*a**3 + 0 + 1/336*a**8 + 0*a**4 + 0*a + a**2. Factor k(z).
z**2*(z - 1)**2*(z + 1)
Let 2/15*r**3 - 8/15*r - 16/15 + 4/15*r**2 = 0. What is r?
-2, 2
Let r be (-3)/(-6) - (-1)/(-30)*5. Factor -r*m**4 - 1/3*m**5 - 1/3 + 2/3*m**3 + 2/3*m**2 - 1/3*m.
-(m - 1)**2*(m + 1)**3/3
Let d be 1/4 + (-9)/((-1944)/(-42)). Let p(s) be the third derivative of 0*s - 1/180*s**5 + d*s**3 + 4*s**2 + 1/72*s**4 - 1/360*s**6 + 0. Factor p(m).
-(m - 1)*(m + 1)**2/3
Let s(u) be the second derivative of 0*u**2 - 1/135*u**6 - 4*u + 0*u**5 + 0*u**4 + 0*u**3 + 0. Factor s(r).
-2*r**4/9
Let r(o) = 12*o + 26. Let l be r(-2). Factor 1/3*j**3 + 1/3 + j**l + j.
(j + 1)**3/3
Let s(t) = -10*t**4 + 6*t**3 - 3*t**2 + 14. Let r(x) = 7*x**4 - 4*x**3 + 2*x**2 - 10. Let c(i) = -7*r(i) - 5*s(i). Find a, given that c(a) = 0.
0, 1
Suppose -i - 17*i**3 - 21/2*i**4 - 15/2*i**2 + 0 = 0. Calculate i.
-1, -1/3, -2/7, 0
Let t(p) be the first derivative of p**7/4200 - p**6/1800 - p**5/300 + p**3 + 4. Let j(i) be the third derivative of t(i). Determine v so that j(v) = 0.
-1, 0, 2
Let q(y) = 39*y + 431. Let s be q(-11). Suppose 2/13*p - 2/13*p**s + 0 = 0. What is p?
0, 1
Factor -16*r**2 - 6*r**5 - 10*r**5 + 24*r**5 - 12*r + 18*r**4 + 4*r**3 - 2.
2*(r - 1)*(r + 1)**3*(4*r + 1)
Determine r so that 0 - 3*r**3 + 5/3*r**4 - 5/3*r**2 + 2/3*r + 7/3*r**5 = 0.
-1, 0, 2/7, 1
Let t(h) be the second derivative of -h**4/54 + 2*h**3/27 + h**2/3 + h. Let t(l) = 0. Calculate l.
-1, 3
Let u(n) be the first derivative of 5*n**3/12 + 5*n**2/8 + 33. Find x, given that u(x) = 0.
-1, 0
Factor 26*j + 21*j - 10 - 4*j**2 - 54 - 15*j.
-4*(j - 4)**2
Let g(b) be the first derivative of 4*b**5/25 + 4*b**4/5 + 8*b**3/15 - 8*b**2/5 - 12*b/5 - 16. Suppose g(i) = 0. Calculate i.
-3, -1, 1
Let u(q) be the third derivative of q**6/345 - q**5/46 + 2*q**4/69 + q**3/23 + 28*q**2. What is l in u(l) = 0?
-1/4, 1, 3
Let x(b) = 7*b**2 + 13*b - 36. Let u(f) be the third derivative of f**5/30 + f**4/8 - 3*f**3/2 - 9*f**2. Let z(w) = -22*u(w) + 6*x(w). Factor z(y).
-2*(y - 3)**2
Let z(d) = -5*d**2 - 11*d - 6. Let o(s) = -s**2 - 2*s - 1. Let t(i) = -22*o(i) + 4*z(i). Factor t(y).
2*(y - 1)*(y + 1)
Let j(i) = -i**2 + 7*i - 3. Let h be j(6). Solve 4*r**3 + 25*r**4 + 2*r**2 + 6*r**h - 10*r - 31*r**4 + 4 = 0 for r.
-1, 2/3, 1
Let g(i) be the third derivative of -i**8/1512 - i**7/945 + i**6/270 + i**5/135 - i**4/108 - i**3/27 - 4*i**2. Factor g(a).
-2*(a - 1)**2*(a + 1)**3/9
Suppose 3*n = 4*n. Let t(p) be the first derivative of 1/15*p**3 - 1 + 0*p**2 + 0*p + n*p**4 - 1/25*p**5. Factor t(q).
-q**2*(q - 1)*(q + 1)/5
Let s be (25/45)/(10/6). Factor s*f**2 + 1/3*f**3 + 0*f + 0.
f**2*(f + 1)/3
Let v be (8/14)/(240/504). Find f, given that 4/5*f - v*f**4 - 2/5*f**3 - 2/5*f**5 + 6/5*f**2 + 0 = 0.
-2, -1, 0, 1
Let o(b) be the second derivative of -b**5/120 - b**4/72 + b**3/36 + b**2/12 + 7*b. What is w in o(w) = 0?
-1, 1
Solve -2*g**2 - 2*g**5 + 12*g - 6*g - 6*g**3 - 6*g - 6*g**4 = 0 for g.
-1, 0
Let b(z) be the second derivative of -z**4/28 + z**3/14 - 4*z. Factor b(k).
-3*k*(k - 1)/7
Let h(u) = -4*u**5 + u**4 - u**2 + u. Let r be ((1 - 5) + -1)/(-1). Let y(i) = i**2 - 4*i**5 + r*i**5 - 4*i**4 + 3*i**4. Let o(z) = h(z) + 3*y(z). Factor o(c).
-c*(c - 1)*(c + 1)**3
Let k be ((-9)/3)/(2/(16/(-12))). Suppose -5*y + 2 + 3 = 0, 10 = 2*x + 4*y. Factor 2/5*s**k - 2/5*s**x - 2/5 + 2/5*s.
-2*(s - 1)**2*(s + 1)/5
Suppose b - 6*b = -10. Suppose 0 = 5*i - b - 8. Let 4/9*r**i + 0*r + 0 - 2/9*r**3 = 0. Calculate r.
0, 2
Let y(f) be the third derivative of f**9/362880 + f**8/60480 - f**7/30240 - f**6/2160 + f**5/30 - 3*f**2. Let v(l) be the third derivative of y(l). Factor v(m).
(m - 1)*(m + 1)*(m + 2)/6
Factor 2/11 - 6/11*u**3 - 2/11*u - 10/11*u**2.
-2*(u + 1)**2*(3*u - 1)/11
Let n(f) be the first derivative of f**6/45 + 2*f**5/75 - f**4/15 - 4*f**3/45 + f**2/15 + 2*f/15 - 21. Factor n(k).
2*(k - 1)**2*(k + 1)**3/15
Suppose 20 = -5*t, 2*t + 15 = 3*j + 1. Let v(l) be the second derivative of 5/12*l**3 + 0 - 1/2*l**j + 7/24*l**4 - l. Let v(p) = 0. Calculate p.
-1, 2/7
Let q = 5146 + -77219/15. Let h = q - -7/3. Factor 0*j + 6/5*j**4 - 4/5*j**2 + 0 - h*j**3.
2*j**2*(j - 1)*(3*j + 2)/5
Let l(u) = -2*u - 4. Let h be l(-3). Factor z - h*z + z**3 + 0*z**3.
z*(z - 1)*(z + 1)
Let l(v) be the first derivative of -v**4/4 - 2*v**3/3 + 3*v**2/2 + 8. What is y in l(y) = 0?
-3, 0, 1
Let j(t) be the first derivative of -147*t**4/20 - 14*t**3 + 78*t**2/5 - 24*t/5 + 4. Factor j(x).
-3*(x + 2)*(7*x - 2)**2/5
Suppose -18 + 1 = -3*q + 2*t, -5*t = 20. Suppose 6*m = q*m. Factor m + 2/9*k**2 + 2/9*k.
2*k*(k + 1)/9
Let w be (-4)/3 - (-11)/(2904/544). Determine l so that 6/11*l**2 + w + 16/11*l = 0.
-2, -2/3
Suppose 43*o - 44*o + 3 = 0. Let g(k) be the first derivative of -4 - 2/15*k**o + 0*k**2 + 0*k. Find h such that g(h) = 0.
0
Let w(n) be the third derivative of -3*n**7/70 + n**6/8 - n**5/10 + 6*n**2. Factor w(r).
-3*r**2*(r - 1)*(3*r - 2)
Let l = 87 + -87. Suppose 2/7*t**2 + 2/7*t + l = 0. Calculate t.
-1, 0
Let q = -4 + 5. Let -2*p**2 + 4*p - q + 4*p - 7 = 0. What is p?
2
Let u(i) = -i + 0*i**3 + 0 - 1 - i**2 + i**3. Let z(s) = -s**3 + 4*s**2 + 3*s + 2. Let o(w) = 4*u(w) + 2*z(w). Factor o(r).
2*r*(r + 1)**2
Let i(b) be the first derivative of -b**4/6 - b**3/3 + 2*b**2 - b + 5. Let a(t) be the first derivative of i(t). Factor a(k).
-2*(k - 1)*(k + 2)
Let y(q) be the first derivative of -q**7/60 + q**6/36 + 4*q**5/15 + q**4/3 - 2*q**3/3 + 1. Let m(b) be the third derivative of y(b). Solve m(h) = 0.
-1, -2/7, 2
Find c, given that -3 + 9*c - 2*c**2 + 3*c**2 - 10*c**2 + 3*c**3 = 0.
1
Find n, given that 0 + 2/7*n**2 - 1/7*n = 0.
0, 1/2
Suppose 0 = -5*p + 6 + 14. Let f(d) be the first derivative of -1/10*d**p + 0*d**2 + 0*d - 2 - 2/15*d**3. Factor f(o).
-2*o**2*(o + 1)/5
Let l(r) be the first derivative of -2/33*r**3 + 4/11*r + 1/11*r**2 + 2. Determine m so that l(m) = 0.
-1, 2
Let l(i) = -i**2 - 13*i - 8. Let v be l(-12). Let x = v + 1. Determine c so that 2*c**3 + c**x + 2*c**5 + 2*c**2 - c**5 - 2*c**4 - 4*c**3 = 0.
-1, 0, 1
Let p(s) be the first derivative of -s**6/12 + 3*s**4/8 - s**3/3 + 57. Factor p(x).
-x**2*(x - 1)**2*(x + 2)/2
Let z be (-210)/(-63) - (-2)/(-6). Determine r, given that -r**4 + 0 + 0*r - 3/2*r**z + r**2 + 3/2*r**5 = 0.
-1, 0, 2/3, 1
Let m(c) be the third derivative of -1/105*c**7 + 1/336*c**8 + 1/30*c**5 + 0 + 2*c**2 + 0*c**3 + 0*c**4 + 0*c - 1/120*c**6. Factor m(o).
o**2*(o - 2)*(o - 1)*(o + 1)
Let l(k) = k**2 + k + 2. Let m be l(0). Let h(z) = -4*z + 3*z + m*z. Let r(a) = 9*a**4 + 30*a**3 + 37*a**2 + 24*a + 4. Let y(g) = -4*h(g) + r(g). Factor y(p).
(p + 1)**2*(3*p + 2)**2
Let b(s) be the first derivative of -2*s - 1/15*s**6 - 1/6*s**4 + 0*s**3 - 2 - 1/5*s**5 + 0*s**2. Let y(f) be the first derivative of b(f). Factor y(r).
-2*r**2*(r + 1)**2
Let b be 126/40 + (-3)/12. Let q = -5/2 + b. Solve 0 - q*x**3 + 0*x - 1/5*x**2 = 0.
-1/2, 0
Let b(k) = 3*k**3 - 16*k**2 - 19*k + 11. Suppose 0 = 4*u + 21 - 109. Let o(l) = l**3 - 4*l**2 - 5*l + 3. Let a(r) = u*o(r) - 6*b(r). Factor a(m).
4*m*(m + 1)**2
Let q(z) = -6*z**2 - 9*z - 15. Supp