t derivative of -d**6/360 + d**5/36 - d**4/9 + 2*d**3/9 + d**2 - 1. Let n(x) be the second derivative of g(x). Let n(o) = 0. Calculate o.
1, 2
Let v(s) = -28*s**5 - 32*s**4 + 36*s**3 + 16*s**2 - 16*s. Let y(j) = j**5 + j**4 - j**3. Let f(n) = -v(n) - 24*y(n). Factor f(l).
4*l*(l - 1)**2*(l + 2)**2
Let a(b) = -b**3 - 12*b**2 + 12*b - 11. Let o be a(-13). Suppose 0 = -o*j + 5*j - 9. Solve 1/4 + 1/4*h**4 - 1/4*h**5 - 1/2*h**2 - 1/4*h + 1/2*h**j = 0 for h.
-1, 1
Let l(j) be the first derivative of -j**3/3 - j**2 - j - 4. Factor l(w).
-(w + 1)**2
Let p(q) be the second derivative of 0 - 1/40*q**5 + 1/24*q**4 - q + 0*q**2 + 1/84*q**7 + 0*q**3 - 1/60*q**6. Factor p(g).
g**2*(g - 1)**2*(g + 1)/2
Let t(p) be the first derivative of p**2 - 1/5*p**5 - 5/3*p**3 - 5 + 0*p + p**4. Factor t(w).
-w*(w - 2)*(w - 1)**2
Let n be ((-22)/(-24) - (-14)/(-21))/1. Determine x so that -1/2*x - n*x**4 + 0 + 3/4*x**3 + 1/4*x**2 - 1/4*x**5 = 0.
-2, -1, 0, 1
Factor -8/5*b + 0 + 2/5*b**2.
2*b*(b - 4)/5
Suppose -3*f + 2*f = 0. Suppose -s**4 + f*s**3 + 2*s - 3*s + s**3 + s**2 = 0. What is s?
-1, 0, 1
Let h = -111 + 334/3. Find g such that -1/3*g**2 + 1/3*g**4 + 1/3*g**3 - h*g + 0 = 0.
-1, 0, 1
Let u(y) = -2*y - 4. Let w be u(-3). Suppose 4*j - 13 = -1. Let 1/2*c**j + 0 + c**w + 0*c = 0. Calculate c.
-2, 0
Let t be -4 - (((-72)/(-6))/(-6) + -4). Factor -9/2 - 6*l - 3/2*l**t.
-3*(l + 1)*(l + 3)/2
Let u be (-855)/(-532) + (-36)/(-16) + -3. Suppose -2/7*m**5 + 0*m**4 + 0*m + 4/7*m**2 + 0 + u*m**3 = 0. What is m?
-1, 0, 2
Let z(y) = 9*y**2 + 6*y + 4. Let v(p) = 26*p**2 + 19*p + 11. Let d(s) = 4*v(s) - 11*z(s). Solve d(j) = 0 for j.
-2, 0
Let p(f) be the second derivative of -3*f + 0 + 1/30*f**4 - 1/75*f**6 + 1/15*f**3 + 0*f**2 - 1/50*f**5. Find z, given that p(z) = 0.
-1, 0, 1
Suppose -9/4 + 3/4*c + 1/4*c**3 + 5/4*c**2 = 0. What is c?
-3, 1
Let m be (-1)/2 - (-40)/16. Let i be 7/m + 3/(-6). Find a such that 0*a + 0*a**i + 0 - 2/5*a**5 - 2/5*a**4 + 0*a**2 = 0.
-1, 0
Let a(w) be the third derivative of -w**5/630 + w**4/84 + 10*w**3/63 - 3*w**2. Find z such that a(z) = 0.
-2, 5
Let n be 6/(-8) + 45/12. Let m = 0 + n. Solve -m*c**5 + 4*c**4 + 0*c**5 + c**5 - c**3 - c**3 = 0 for c.
0, 1
Let f(t) be the third derivative of 0*t + 1/24*t**6 + 8*t**2 + 0*t**3 + 0*t**4 + 0 + 1/112*t**8 + 1/60*t**5 + 1/30*t**7. Determine p, given that f(p) = 0.
-1, -1/3, 0
Let p = 6567/26 + -372157/1430. Let h = p - -102/11. Suppose -4/5 + 2/5*d**3 + 2*d - h*d**2 = 0. Calculate d.
1, 2
Let i = 90 + -90. Let q(m) be the second derivative of 1/6*m**4 + 0*m**2 - 3*m + i*m**3 + 0. Determine r so that q(r) = 0.
0
Let n = -3 - -9. Factor 8*b - 12*b - 4*b**4 + b**3 + 5*b**3 + n*b**2.
-2*b*(b - 2)*(b + 1)*(2*b - 1)
Let a(h) = 65*h**2 - 40*h. Let y(w) = 22*w**2 - 13*w. Let r(d) = -3*a(d) + 10*y(d). Suppose r(v) = 0. Calculate v.
0, 2/5
Let h(z) be the second derivative of -z**4/54 - 8*z**3/27 - 16*z**2/9 - 10*z. Factor h(x).
-2*(x + 4)**2/9
Let s(c) be the first derivative of -3/2*c**2 - c**3 + 2 + 6*c. Factor s(y).
-3*(y - 1)*(y + 2)
Let c(g) = 3*g**2 - 6. Let q(d) = d**3 - d**2 + 1. Let b(w) = -3*w**3 - 4*w**2 + w + 9. Let x(o) = b(o) + 2*q(o). Let u(s) = -5*c(s) - 3*x(s). Factor u(z).
3*(z - 1)*(z + 1)**2
Let u be 8/(-2) - 70/(-15). Determine o so that 2/3*o**3 - 2/3*o + u*o**2 - 2/3 = 0.
-1, 1
Let s(v) be the first derivative of 0*v**3 + 1/18*v**4 + 0*v**2 + 1/27*v**6 - 4/45*v**5 + 4 + 0*v. Find h, given that s(h) = 0.
0, 1
Determine o, given that 3/5*o**3 - 99/5*o**2 + 1089/5*o - 3993/5 = 0.
11
Let h(n) be the third derivative of n**8/840 + n**7/210 + n**6/180 + 5*n**3/6 + 3*n**2. Let u(y) be the first derivative of h(y). Factor u(w).
2*w**2*(w + 1)**2
What is k in 5/2 - 2*k - 1/2*k**2 = 0?
-5, 1
Let b(o) be the first derivative of -o**4/3 + 20*o**3/9 + 2*o**2/3 - 20*o/3 - 37. Suppose b(f) = 0. Calculate f.
-1, 1, 5
Let q(m) be the second derivative of m**7/3150 + m**6/900 - m**5/75 + 7*m**4/12 - 3*m. Let f(a) be the third derivative of q(a). Find x, given that f(x) = 0.
-2, 1
Let r(a) be the second derivative of 1/18*a**3 + 0*a**4 + 0 + a**2 - a - 1/180*a**5. Let n(g) be the first derivative of r(g). Factor n(z).
-(z - 1)*(z + 1)/3
Let o(r) = -r**2 + 1. Let v(g) = -11*g**2 - 6*g + 5. Let i(d) = 18*o(d) - 2*v(d). Factor i(c).
4*(c + 1)*(c + 2)
Factor -15/7*h**2 - 12/7 + 24/7*h + 3/7*h**3.
3*(h - 2)**2*(h - 1)/7
Factor 0 + 3*b**3 - 9/4*b**4 + 3/4*b**2 - 3/2*b.
-3*b*(b - 1)**2*(3*b + 2)/4
Factor 45*g**2 - 45*g**2 - 10*g**4 + 4*g**5 + 5*g**3 + g**5.
5*g**3*(g - 1)**2
Suppose 3*s + 12 = 4*a + 2*s, 12 = -3*s. Factor 2*n**3 - a*n**5 - 2*n**3.
-2*n**5
Let r = -289 + 292. Factor -2/5*m**2 + 2/5*m**r - 2/5*m + 2/5.
2*(m - 1)**2*(m + 1)/5
Let l(q) be the second derivative of -q**5/5 + 2*q. Determine m so that l(m) = 0.
0
Let o = 5113/4626 + 3/514. Factor 2/9*h + 4/3*h**3 + 0 - o*h**2.
2*h*(2*h - 1)*(3*h - 1)/9
Let l(y) be the third derivative of 1/672*y**8 + 1/240*y**5 - 1/240*y**6 + 8*y**2 + 0*y + 0*y**3 + 0 + 0*y**4 - 1/840*y**7. Let l(j) = 0. What is j?
-1, 0, 1/2, 1
Suppose 0*b - 2*b = -14. Suppose -2*y = -b*y + 20. Factor -7*o**3 - o**2 - o**4 + 0*o**y + 9*o**3.
-o**2*(o - 1)**2
Let x = 785 - 782. Find u, given that -12/5*u - 24/5 - 9/5*u**x + 6*u**2 = 0.
-2/3, 2
Let h be (-2)/(-7) + (-6)/70. Let t be -6 + 22/4 - (-7)/10. Find u, given that h*u**2 + 0 - t*u**3 + 0*u = 0.
0, 1
Let q(u) be the second derivative of u**4/12 + u**2/2 - 3*u. Let g(p) = -6*p**2 + 8*p - 12. Let l(m) = -g(m) - 4*q(m). Factor l(s).
2*(s - 2)**2
Let f = 585/7 + -1513/14. Let t = 25 + f. Find u, given that -1/2*u**3 - 1/4*u**4 + 1/4 + t*u + 0*u**2 = 0.
-1, 1
Let i(k) be the third derivative of k**8/84 - 2*k**7/15 + 3*k**6/5 - 22*k**5/15 + 13*k**4/6 - 2*k**3 - 2*k**2. Factor i(a).
4*(a - 3)*(a - 1)**4
Let o = 13 - 10. Let -1/5*p**o + 0*p**2 + 1/5*p + 0 = 0. Calculate p.
-1, 0, 1
Determine c so that -2 - 3*c - 65*c**2 + 2*c + 66*c**2 = 0.
-1, 2
Solve 0 + 0*s**3 - 4/3*s**2 - 2/3*s + 4/3*s**4 + 2/3*s**5 = 0 for s.
-1, 0, 1
Suppose 0 - 14/3*w**3 - 4/3*w**2 + 0*w + 8/3*w**4 = 0. Calculate w.
-1/4, 0, 2
Let a be 14/(-35) + (-14)/(-10). Factor 9*k**4 - 9*k**3 + 3*k**2 - a + 1 - 3*k**5.
-3*k**2*(k - 1)**3
Let r(v) be the first derivative of -v**2 + 63/5*v**5 - 109/8*v**4 - 3 + 0*v - 49/12*v**6 + 6*v**3. Determine t so that r(t) = 0.
0, 2/7, 1
What is q in -1/4*q**2 + 1/4 - 1/8*q + 1/8*q**3 = 0?
-1, 1, 2
Let o = -49 + 52. Let w(d) be the first derivative of -16/9*d**3 - 11/6*d**2 - 7/12*d**4 - 2/3*d - o. Suppose w(q) = 0. What is q?
-1, -2/7
Let n(d) be the second derivative of -d**6/24 + d**5/8 + 25*d**4/48 - 5*d**3/4 - 8*d. Find z such that n(z) = 0.
-2, 0, 1, 3
Suppose 6*h - 2*h = 0. Let u be (h/((-3)/1))/1. Factor 2/5*c**3 - 4/5*c**2 + 2/5*c + u.
2*c*(c - 1)**2/5
Let r be 4*(-2 + 21/6). Suppose -12 = -r*t + 2*t. Solve 2/5*i**t + 2/5 - 2/5*i - 2/5*i**2 = 0 for i.
-1, 1
Solve 1/3*o**2 + 1/6*o**3 - 2/3*o - 4/3 = 0 for o.
-2, 2
Let n(d) = 4*d**3 - 2*d**2 + 1. Let k be n(1). Let a = 1 + k. Solve 0*j + 1/2*j**3 + 0*j**2 - 1/4*j**5 + 0 - 1/4*j**a = 0.
-2, 0, 1
Suppose -2*l = 2*l - 56. Suppose 0 = 4*d - l + 2. Determine p, given that p**3 + 0*p - d*p + 2*p - p**2 + p**4 = 0.
-1, 0, 1
Suppose 0 = -4*m - 3*q, m - 5*q - 11 = 4*m. Let a(y) be the first derivative of 1 + 2/15*y**m - 1/10*y**4 + 1/5*y**2 - 2/5*y. Factor a(c).
-2*(c - 1)**2*(c + 1)/5
Suppose 20 = 2*x - 4*s, 5*x + 1 = -4*s + 9. Factor -4/11*a - 46/11*a**x - 14/11*a**5 - 26/11*a**2 - 54/11*a**3 + 0.
-2*a*(a + 1)**3*(7*a + 2)/11
Find y, given that 0 + 1/3*y**4 + 0*y**3 + 0*y - 1/3*y**2 = 0.
-1, 0, 1
Let d(j) be the third derivative of j**8/672 - j**7/420 - j**6/80 + j**5/24 - j**4/24 - j**2. Determine i, given that d(i) = 0.
-2, 0, 1
Suppose -v = -3*v + 6. Let -2*z - 63*z**3 - z**4 + v*z**2 + 63*z**3 = 0. What is z?
-2, 0, 1
Let d(q) be the third derivative of -1/60*q**6 + 0*q**3 + 3*q**2 - 1/105*q**7 + 0 + 1/30*q**5 + 1/12*q**4 + 0*q. What is o in d(o) = 0?
-1, 0, 1
Let t(m) be the first derivative of -m**7/630 - m**6/180 - m**5/180 - 3*m**2/2 + 3. Let p(b) be the second derivative of t(b). Find o such that p(o) = 0.
-1, 0
Let l(f) be the second derivative of 0*f**3 + 0 - 1/60*f**4 - 1/150*f**5 - f**2 + f. Let v(q) be the first derivative of l(q). What is y in v(y) = 0?
-1, 0
Let g(u) be the fir