 the second derivative of -m*k**4 + 1/20*k**5 - 1/12*k**3 + 0*k**2 + 0 - 2*k + 9/40*k**6 - 5/42*k**7. What is s in d(s) = 0?
-2/5, -1/4, 0, 1
Let n(r) be the second derivative of -r**7/105 + 4*r**6/75 - 2*r**5/25 + 47*r. Factor n(t).
-2*t**3*(t - 2)**2/5
Factor 1/5*m**5 + 1/5*m + 0*m**2 + 0 - 2/5*m**3 + 0*m**4.
m*(m - 1)**2*(m + 1)**2/5
Let g(x) = x**2 - 1. Let k(t) = -5*t**2 + t + 4. Let y(b) = 12*g(b) + 4*k(b). Factor y(p).
-4*(p - 1)*(2*p + 1)
Let q = 4 + 0. Find o such that -2 + 10*o - q*o**3 + 4*o**2 - 6*o**3 - 2 = 0.
-1, 2/5, 1
Let x = 19 - -14. Suppose 113 - x = 4*i. What is c in i*c**3 - 2*c**2 - 10*c**4 + 2*c**5 - c**2 + 10*c - 17*c**2 - 2 = 0?
1
Let 0 + 3/4*a**3 + 0*a - 9/2*a**4 + 3/4*a**2 = 0. What is a?
-1/3, 0, 1/2
Let r(a) be the second derivative of 0*a**2 - 1/40*a**5 - 1/24*a**4 + 2*a + 0 + 0*a**3. Factor r(m).
-m**2*(m + 1)/2
Let 2/9*m**4 + 0*m + 4/9*m**2 - 2/3*m**3 + 0 = 0. What is m?
0, 1, 2
Let s(j) be the third derivative of j**6/135 - j**5/27 + j**4/54 + 4*j**3/27 - 2*j**2 - 37. Let s(a) = 0. What is a?
-1/2, 1, 2
Let k(b) be the third derivative of b**11/110880 - b**10/50400 - b**9/20160 + b**8/6720 + b**5/10 + b**2. Let q(y) be the third derivative of k(y). Factor q(i).
3*i**2*(i - 1)**2*(i + 1)
Let h = -10 + 14. Factor c**4 - 16*c**h - 16*c**5 - c**3 + 6*c**2 - 9*c**4 - c.
-c*(c + 1)**2*(4*c - 1)**2
Let o(c) be the third derivative of -c**6/420 + c**5/105 + 8*c**2. Factor o(x).
-2*x**2*(x - 2)/7
Let q = -11 + 15. Suppose -3*c + 7*c - 16 = 0. Factor p**4 + 2*p**3 - 1 + 2*p**c + 0*p**q + p**5 - 2*p**2 - 3*p.
(p - 1)*(p + 1)**4
Factor 0*p + 0 + 2/3*p**2 + 2/9*p**3.
2*p**2*(p + 3)/9
Let y(q) be the second derivative of -q**6/10 - 9*q**5/20 - 3*q**4/4 - q**3/2 - 25*q - 1. Factor y(j).
-3*j*(j + 1)**3
Let t(d) be the second derivative of d**5/30 - d**4/9 - d**3/9 + 2*d**2/3 + d. Factor t(y).
2*(y - 2)*(y - 1)*(y + 1)/3
Let o(j) be the first derivative of 0*j**3 + 0*j**2 + 0*j - 10 + 4/15*j**5 + 0*j**4 - 1/3*j**6. Determine u so that o(u) = 0.
0, 2/3
Suppose 0 = -2*f - 10, 0*t + 4*f = -t - 17. Factor 2/3*g**t - 4/3*g**2 + 0 + 2/3*g.
2*g*(g - 1)**2/3
Let a be ((-1)/40 + 0)*(-28)/56. Let r(k) be the third derivative of -a*k**5 - 1/4*k**3 + 0*k - k**2 + 3/32*k**4 + 0. Suppose r(y) = 0. Calculate y.
1, 2
Let j be ((-2)/5)/((-16)/10). Let b(r) be the second derivative of 2*r - 1/24*r**4 + j*r**2 + 1/40*r**5 - 1/12*r**3 + 0. Let b(y) = 0. Calculate y.
-1, 1
Let k(b) be the second derivative of 0*b**2 - 1/18*b**3 + 7/36*b**4 + 13/90*b**6 + b - 1/4*b**5 + 0 - 2/63*b**7. Suppose k(q) = 0. Calculate q.
0, 1/4, 1
Suppose -4*p = 2 - 18. Solve -5*b**2 - 3*b**2 - 3*b**3 - b**3 - 4*b**p - 8*b**3 = 0 for b.
-2, -1, 0
Let v = -69 - -73. Factor 0 - 4/9*d**2 - 2/9*d**5 + 2/9*d + 4/9*d**v + 0*d**3.
-2*d*(d - 1)**3*(d + 1)/9
Let x(o) be the second derivative of 0 + 1/6*o**4 - 4*o + 0*o**2 - 2/3*o**3. Factor x(u).
2*u*(u - 2)
Let f be (-54)/18 - 178/(-18). Solve -4/3 - f*b - 10/9*b**3 + 14/9*b**4 - 74/9*b**2 = 0 for b.
-1, -2/7, 3
Solve 24/7*v - 15/7*v**3 + 3/7*v**2 - 3/7*v**4 + 12/7 + 3/7*v**5 = 0.
-1, 2
Let p(c) = -3*c**2 - 6*c + 9. Let g(u) = u - 1. Let w(q) = -q - 13. Let t be w(-14). Let k(h) = t*p(h) + 6*g(h). What is j in k(j) = 0?
-1, 1
Factor 0 - 4/5*b**3 + 4/5*b**2 + 0*b.
-4*b**2*(b - 1)/5
Let p(j) be the third derivative of j**9/10584 + 2*j**3/3 - j**2. Let n(m) be the first derivative of p(m). Factor n(b).
2*b**5/7
Let z(t) = t + 13. Let p(l) = -2*l**2 - 3*l - 1. Let v be p(-3). Let b be z(v). Factor -5/3*d**b + 0 + 2/3*d - d**2.
-d*(d + 1)*(5*d - 2)/3
Suppose 0*f = -4*f + w + 12, -12 = -2*f - w. Suppose 4*i - 4*m + f = 0, 3*m - 4*m - 5 = -3*i. Factor 1 + i - 2*h - 2*h**2 + 2*h**2 - 2*h**2.
-2*(h - 1)*(h + 2)
Factor -3*n**2 + 180*n**4 - 3*n**2 - 159*n**4 - 15*n**3.
3*n**2*(n - 1)*(7*n + 2)
Suppose -t - 10*p - 10 = -14*p, 5*t - 2*p = 4. What is m in 0 + 4/11*m**t + 0*m + 10/11*m**3 - 6/11*m**4 = 0?
-1/3, 0, 2
Let u(l) be the third derivative of 1/300*l**6 - 1/150*l**5 - 7*l**2 + 1/15*l**3 + 0 + 0*l - 1/60*l**4. Factor u(j).
2*(j - 1)**2*(j + 1)/5
Suppose -26 = -3*n + 7*s - 3*s, 4*s = -n - 18. Suppose -3*m**3 + 2*m**n - 5*m**3 + 6*m**3 + 4*m**3 = 0. Calculate m.
-1, 0
Let y(m) be the first derivative of m**6/33 - 6*m**5/55 - m**4/22 + 14*m**3/33 - 8*m/11 - 7. Suppose y(r) = 0. Calculate r.
-1, 1, 2
Solve -8*o - 4/5*o**2 - 20 = 0 for o.
-5
Let b(n) = -n**2 + 7*n - 3. Let y be b(6). Let t(f) be the second derivative of 1/3*f**y - 2*f**2 + 1/6*f**4 + 0 + 2*f. Find q, given that t(q) = 0.
-2, 1
Factor -15*b**3 + 6*b**3 + 9*b**5 + 10*b**3 + 6*b**4.
b**3*(3*b + 1)**2
Suppose 53*o - 16 = 45*o. Suppose 56/3*r**5 - 22/9*r - o*r**2 + 254/9*r**3 + 4/9 - 386/9*r**4 = 0. Calculate r.
-2/7, 1/4, 1/3, 1
Let u = 393 - 1963/5. Find l such that u*l + 2/5*l**2 - 2/5*l**3 - 2/5 = 0.
-1, 1
Let 0 - 1/7*r + 0*r**2 + 1/7*r**3 = 0. Calculate r.
-1, 0, 1
Let h(z) = z**4 + 9*z**2 - 3*z + 3*z**3 - 5*z**4 + 2 - 7. Let u(v) = 2*v**4 - 2*v**3 - 4*v**2 + 2*v + 2. Let y(t) = -2*h(t) - 5*u(t). What is g in y(g) = 0?
-1, 0, 1, 2
Suppose 6*u**4 + u**5 + 3*u + 0*u**5 + 10*u**2 - 593*u**3 + 605*u**3 = 0. Calculate u.
-3, -1, 0
Let k(t) = -2*t - 7. Let x be k(14). Let w be 32/70 - 14/x. Find u, given that 2/7*u**3 - 4/7 - w*u + 0*u**2 = 0.
-1, 2
Let s(v) be the third derivative of -v**2 - 1/150*v**5 + 1/60*v**4 + 0 + 0*v**3 + 0*v. Suppose s(d) = 0. What is d?
0, 1
Let y = 131/183 - 3/61. Let 0*c + 4/3*c**5 - y*c**2 - 10/3*c**4 + 0 + 8/3*c**3 = 0. What is c?
0, 1/2, 1
Let x(g) be the first derivative of 18/7*g + 6/7*g**2 + 1 + 2/21*g**3. Find l, given that x(l) = 0.
-3
Let m = -1/19 + 21/38. Let l = 31/8 + -17/8. Factor m*r - l*r**2 + 0.
-r*(7*r - 2)/4
Let g = -5 - -11. Let b(l) be the third derivative of 0*l + 1/24*l**4 + 0*l**3 + 0*l**5 + l**2 - 1/120*l**g + 0. Factor b(z).
-z*(z - 1)*(z + 1)
Let t(b) be the third derivative of b**8/224 + 3*b**7/280 - b**5/80 + 7*b**2. Suppose t(v) = 0. Calculate v.
-1, 0, 1/2
Let w(l) be the first derivative of -l**3/4 - 15*l**2/8 - 9*l/2 - 38. Find i such that w(i) = 0.
-3, -2
Find b such that 6 - 21/2*b**3 - 39/2*b + 3/2*b**4 + 45/2*b**2 = 0.
1, 4
Suppose 2/7*w**2 + 4/7 - 6/7*w = 0. Calculate w.
1, 2
Let p(l) be the third derivative of -l**5/160 + l**4/8 - 7*l**3/16 - 21*l**2. Factor p(x).
-3*(x - 7)*(x - 1)/8
Let k(l) = 4*l**2 - l**3 - l**2 + 3*l + 0*l**3 + 1. Let q be k(4). Let t(v) = 2*v. Let a(f) = f**2 - 3*f. Let m(j) = q*t(j) - 2*a(j). Let m(z) = 0. What is z?
0
Let p = 25982/5 - 5111. Let n = p - 85. Factor 0 - 2/5*k**2 + n*k.
-2*k*(k - 1)/5
Let a(g) = 4*g**2 + 8*g + 10. Let o(q) = -5*q**2 - 9*q - 11. Let v be 0/(2 - 0) - 1. Let j = v - 5. Let d(b) = j*o(b) - 7*a(b). What is h in d(h) = 0?
-1, 2
Find k such that -4*k + 2 + 221*k**2 - 2 - 223*k**2 + 2*k**3 = 0.
-1, 0, 2
Let s = 826/3 + -274. Suppose 4/3 - s*y**2 + 2/3*y - 2/3*y**3 = 0. What is y?
-2, -1, 1
Suppose h = 3*h - 4. Suppose h - 5 = -o. Determine l so that 3*l**o - l**3 - 3*l**3 - 3*l + 1 + 3*l**2 = 0.
1
Suppose 15*d - 18*d = -6. Let l(h) be the first derivative of 0*h - 3 + 1/3*h**d - 2/9*h**3. What is v in l(v) = 0?
0, 1
Let v(j) = -2*j**3 + 4*j. Let d(f) = -2*f**3 - f**2 + 3*f. Let h(o) = -4*d(o) + 3*v(o). Factor h(t).
2*t**2*(t + 2)
Let t(l) be the second derivative of 0*l**3 + 0 - 3*l + 0*l**2 + 1/12*l**4. Solve t(n) = 0.
0
Let m = 3/17 - -13/119. Let n be 0/(12*(-1)/(-4)). Factor 2/7*r - m*r**3 + n + 0*r**2.
-2*r*(r - 1)*(r + 1)/7
Let t = 24 - 23. Let y = 1 + t. Let 2*x**3 - 2/3*x**5 + 2/3*x**4 - 2/3*x**y - 4/3*x + 0 = 0. What is x?
-1, 0, 1, 2
Suppose 2*f - 5 = -d, -4*f + 2*f - 7 = 5*d. Let h be (d + 3 + 0)/(-2). Find a, given that 3*a**2 + h*a**2 - 6*a**2 + 6*a = 0.
0, 2
Suppose 2/11*q - 2/11*q**2 + 0 = 0. Calculate q.
0, 1
Determine p so that p**3 - 5*p**3 + 5*p - 13*p + 12*p**2 = 0.
0, 1, 2
Determine o so that -30/7*o**3 + 12/7 + 36/7*o - 9/7*o**4 - 9/7*o**2 = 0.
-2, -1/3, 1
Let v(j) be the first derivative of -5 - 8*j - j**4 + 2*j**2 + 8/3*j**3. Factor v(r).
-4*(r - 2)*(r - 1)*(r + 1)
Suppose 2 = -x - 0. Let r be (1/(-2) - 2)*x. Find b such that -2*b**r - 22*b - 2*b**3 + 20*b + 4*b**3 + 2*b**3 = 0.
-1, 0, 1
Suppose p**2 + 7*p + 60 - 6*p**2 - 15*p + 28*p = 0. Calculate p.
-2, 6
Let d(u) be the second derivative of u**4/6 - u**3 + 2*u**2 + 11*u. Factor d(q).
