4/9 = 0. What is q?
-2, -1
Let t(r) be the second derivative of 12*r**5/5 - 2*r**4 + r**3/2 + 17*r. Find b, given that t(b) = 0.
0, 1/4
Let f(q) be the second derivative of -q**4/36 - 2*q**3/9 - q**2/2 - 3*q. Factor f(j).
-(j + 1)*(j + 3)/3
Let f(d) = -d**2 + 8*d + 12. Let u be f(9). Let x(v) be the third derivative of 1/240*v**5 + 0*v**3 + u*v**2 + 1/480*v**6 + 0*v**4 + 0*v + 0. Factor x(y).
y**2*(y + 1)/4
Let d be (-80)/14 + (-2)/7. Let g be 0/(d*(-1)/(-2)). Factor 1/2*c + g - 1/2*c**4 + 1/2*c**2 - 1/2*c**3.
-c*(c - 1)*(c + 1)**2/2
Determine a, given that 36 + 4*a**2 + 0*a**2 + 8*a + 16*a = 0.
-3
Let r = 95 - 189/2. What is x in 2*x**2 + r*x**4 + 0 + 0*x - 2*x**3 = 0?
0, 2
Let a be ((-1)/2)/(2/4). Let c(z) = z**5 - z**4 - z + 1. Let o(u) = -3*u**5 - 5*u**4 + 3*u**3 + 4*u**2 + 1. Let q(n) = a*o(n) + c(n). Factor q(j).
j*(j - 1)*(j + 1)*(2*j + 1)**2
Let s(n) be the second derivative of -1/15*n**6 + 1/42*n**7 + 0 + 1/20*n**5 - 5*n + 0*n**2 + 0*n**4 + 0*n**3. Solve s(c) = 0.
0, 1
Let j = -9 - -8. Let q be j/(-1) + 3/(-12). Find h, given that h**4 + 0 - h + q*h**3 - h**2 + 1/4*h**5 = 0.
-2, -1, 0, 1
Let h(m) be the third derivative of -m**7/315 + m**6/45 - m**5/18 + m**4/18 - 26*m**2. Determine w so that h(w) = 0.
0, 1, 2
Let t(m) be the first derivative of -6 + 4*m**2 - 4*m**3 - 12*m**4 + 0*m - 28/5*m**5. Factor t(z).
-4*z*(z + 1)**2*(7*z - 2)
Suppose t + t - 4 = 0. Let w be (t/(-2))/((-2)/14). Factor l**4 - l**2 + w*l - 7*l.
l**2*(l - 1)*(l + 1)
Let h(a) be the third derivative of -a**6/150 + a**4/30 - 7*a**2. Find w, given that h(w) = 0.
-1, 0, 1
Let b = 41 + -26. Suppose 3*j = j + 3*k + b, 3*j = 2*k + 15. Determine c so that 3*c**3 - 2*c**3 + j*c - 5*c + 2*c**2 + 3*c = 0.
-1, 0
Let h(u) be the second derivative of -u**5/150 + u**4/30 - 2*u**3/45 + 37*u. Solve h(l) = 0.
0, 1, 2
Let z be 320/18 - (-6)/27. Suppose 24*j - z*j**4 - 4*j**2 - 24*j + 22*j**3 = 0. What is j?
0, 2/9, 1
Let c(d) be the first derivative of 1/72*d**4 + 3 - 3*d + 1/9*d**3 + 1/3*d**2. Let f(t) be the first derivative of c(t). Factor f(s).
(s + 2)**2/6
What is b in 2/9*b**2 + 200/9 + 40/9*b = 0?
-10
Suppose -3 = 9*t - 12*t. Let o be (t - 0)/(14/16). Factor 2/7 + 6/7*y - o*y**2.
-2*(y - 1)*(4*y + 1)/7
Factor 2*l**2 - 78*l + 147 + 120*l + l**2.
3*(l + 7)**2
Let b = -34585/36 - -3993/4. Let h(u) be the first derivative of -52/3*u**2 - 4 - 8/3*u - b*u**3. Find q such that h(q) = 0.
-2/13
Let a(s) be the second derivative of -1/2*s**4 - 9/20*s**5 + 6/5*s**6 + 0*s**2 + 0 + 0*s**3 + s - 1/2*s**7. Factor a(v).
-3*v**2*(v - 1)**2*(7*v + 2)
Factor 0 - 8/11*o + 2/11*o**4 + 2/11*o**3 - 8/11*o**2.
2*o*(o - 2)*(o + 1)*(o + 2)/11
Find g such that 504*g**5 + 2*g - 502*g**5 - 4*g**3 + 0*g = 0.
-1, 0, 1
Determine s, given that 0 + 0*s + 12/17*s**2 + 6/17*s**4 - 22/17*s**3 = 0.
0, 2/3, 3
Suppose 0 = 4*j + 8 - 28. Let s = 11 - j. Solve -s*o**2 + 5*o**2 - 1 + o**2 + o**2 = 0 for o.
-1, 1
Let o(r) be the second derivative of r**6/120 - r**5/40 - r**4/48 + r**3/12 - 9*r. Factor o(m).
m*(m - 2)*(m - 1)*(m + 1)/4
Let b(r) = -r + 10. Let p be b(7). Let a(o) be the second derivative of 2*o - 1/15*o**6 + o**2 + 1/5*o**5 + 0 + 0*o**4 - 2/3*o**p. Factor a(l).
-2*(l - 1)**3*(l + 1)
Let a(b) be the third derivative of -b**7/525 - b**6/100 - b**5/50 - b**4/60 - b**2. Factor a(o).
-2*o*(o + 1)**3/5
Let t be ((-130)/25 + 5)/((-1)/1). Solve -w + 2/5 - t*w**3 + 4/5*w**2 = 0.
1, 2
Suppose -3*r = -4*r + 4. Suppose 3*o = 5*o - r, 4*s - 14 = -3*o. Suppose 1 + 4*k - 5 + k**2 + k**s - 2*k = 0. Calculate k.
-2, 1
Suppose d + 4*d = 480. Let l be 2/(-5) + d/140. Factor 2/7*m - 2/7*m**3 - l*m**2 + 0 + 2/7*m**4.
2*m*(m - 1)**2*(m + 1)/7
Suppose 5*b - b + 3*b**2 + 2*b = 0. What is b?
-2, 0
Let h = 11 + -11. Suppose h = -c - 3*c. Find g, given that -3/4*g**4 - 3/4*g**3 + 0 + c*g - 1/4*g**2 - 1/4*g**5 = 0.
-1, 0
Suppose -15 - 3*c + 14*c**2 - 20*c**3 - 4*c**2 + 6*c + 5*c**4 + 17*c = 0. What is c?
-1, 1, 3
Let w(c) be the second derivative of 0*c**4 + 0 + 0*c**6 + 1/9*c**3 + 1/63*c**7 - 5*c + 0*c**2 - 1/15*c**5. Factor w(b).
2*b*(b - 1)**2*(b + 1)**2/3
Suppose -4/3*a**2 + 2/3*a**3 + 4/3 - 2/3*a = 0. What is a?
-1, 1, 2
Suppose 3*g + 4*o - 26 = 0, -4*g - o - 74 = -9*g. Let y = g + -10. Solve 3*l**y + 4*l - 19*l**3 + 15*l**5 + l**4 - 4*l**2 + 0*l = 0.
-1, -2/3, 0, 2/5, 1
Let u be (2/30)/(-2 - (-72)/30). Let z(q) be the third derivative of -3*q**2 - u*q**4 + 0*q - 1/30*q**5 + 0 - 1/3*q**3. Suppose z(s) = 0. Calculate s.
-1
Let v = 12/13 + -11/26. Solve 0 + 1/2*n**2 - v*n = 0.
0, 1
Let j(a) = -5*a**3 + a**2 + 2*a + 1. Let i be j(-1). Suppose 2*s + 6 = i*s. Suppose 5/4*n**s - 9/4*n**4 + 0 + 3/4*n**3 + 1/4*n = 0. What is n?
-1/3, 0, 1
Let v(r) be the second derivative of -1/6*r**3 + 1/30*r**6 + r**2 + 7*r + 0 + 1/20*r**5 - 1/4*r**4. Factor v(k).
(k - 1)**2*(k + 1)*(k + 2)
Let z(p) = 8*p - 52. Let w be z(7). Let j(d) be the first derivative of -4 + 1/6*d**w + 8/3*d**2 - 10/9*d**3 - 8/3*d. Factor j(r).
2*(r - 2)**2*(r - 1)/3
Let o(n) = -n + 24. Let j be o(24). Let u(d) be the second derivative of -1/3*d**4 + 3*d + 1/2*d**3 + j + 1/2*d**2. Solve u(p) = 0.
-1/4, 1
Let v(k) = k**2 + 3*k - 5. Let q be v(2). Suppose 0 = z - q, z + 4 = 3*r - 0. Factor 3/4*a**5 - 1/2 - a**4 + 3/2*a**2 - a**r + 1/4*a.
(a - 1)**3*(a + 1)*(3*a + 2)/4
Factor 0 - 3/4*v**4 - 3/2*v**2 + 0*v - 9/4*v**3.
-3*v**2*(v + 1)*(v + 2)/4
Let s(g) be the first derivative of 5*g**6/51 + 14*g**5/85 + g**4/17 - 6. Factor s(r).
2*r**3*(r + 1)*(5*r + 2)/17
Let b(i) be the third derivative of i**6/1020 + 31*i**5/510 + 56*i**4/51 - 256*i**3/51 + 50*i**2. Determine h so that b(h) = 0.
-16, 1
Let q(a) be the second derivative of a**10/120960 + a**9/60480 - a**8/26880 - a**7/10080 - a**4/6 + 2*a. Let k(s) be the third derivative of q(s). Factor k(h).
h**2*(h - 1)*(h + 1)**2/4
Let p = 8141/40 - 407/2. Let l(s) be the third derivative of s**2 - 1/105*s**7 - 1/672*s**8 + 0 + 0*s**3 - 1/48*s**4 + 0*s - 1/30*s**5 - p*s**6. Factor l(n).
-n*(n + 1)**4/2
Suppose 4*d - d - 3 = 0. Suppose -2*n = -z - 5, -n - 3*z = n - d. What is g in 0 + 4/5*g - 2/5*g**3 + 2/5*g**n = 0?
-1, 0, 2
Let n(o) = o**3 - 3*o**2 - 2*o + 1. Let j be n(-2). Let s be 5/(-75) + (-6)/j. Factor 0 + 1/3*r**2 - 2/3*r**3 + s*r**4 + 0*r.
r**2*(r - 1)**2/3
Let q = -5 + 1. Let z(h) = -2*h**4 + 5*h**3 - 6*h**2 + 5*h + 8. Let m(k) = k**4 - 4*k**3 + 6*k**2 - 4*k - 7. Let r(c) = q*z(c) - 5*m(c). Factor r(s).
3*(s - 1)**2*(s + 1)**2
Find l such that 4/9 + 2/9*l**2 - 2/3*l = 0.
1, 2
Factor 1/4*t**3 + 7/4*t**2 + 9/4 - 17/4*t.
(t - 1)**2*(t + 9)/4
Let x = -41/154 + 9/22. Factor -x*d**2 + 0 - 1/7*d.
-d*(d + 1)/7
Let v(u) be the second derivative of -3*u + 1/9*u**3 + 0 - 2/3*u**2 + 1/18*u**4. Factor v(a).
2*(a - 1)*(a + 2)/3
Let j = 1256/3 - 344. Let r = j + -74. Factor 2/3*n**3 + 0 + r*n - 4/3*n**2.
2*n*(n - 1)**2/3
Let f(a) be the third derivative of -a**9/75600 + a**8/33600 - a**4/12 - 4*a**2. Let y(k) be the second derivative of f(k). Factor y(s).
-s**3*(s - 1)/5
Let h(q) be the first derivative of -2/15*q**3 + 1 + 0*q - 1/20*q**4 - 1/10*q**2. Factor h(z).
-z*(z + 1)**2/5
Suppose 3*t - 7 - 23 = 0. Let f be 3 + (-2)/t + -2. Let 0 - 2/5*j**2 - 2/5*j + f*j**3 = 0. What is j?
-1/2, 0, 1
Let l(g) be the second derivative of g**3/6 - g**2/2 - 2*g. Let u be l(3). Factor 0*f**2 - 2 + 3*f**u - f**2.
2*(f - 1)*(f + 1)
Let r be (-10)/(-6)*6/4. Let q = 3 - r. Factor 0 + 0*o - o**3 + q*o**4 + 1/2*o**2.
o**2*(o - 1)**2/2
Let g(t) be the first derivative of -t**5/30 - 7*t**4/24 - 4*t**3/9 + 4*t**2/3 + 24. Let g(o) = 0. Calculate o.
-4, 0, 1
Suppose 0 = 4*c + 2*d - 22, -c = 3*d + 1 - 19. Let b(a) be the third derivative of 0 + 0*a + 0*a**4 + 0*a**c - a**2 + 1/90*a**5. What is o in b(o) = 0?
0
Suppose -4 + 11*o**2 - 7*o**2 - 11*o + 7*o + 4*o**3 = 0. Calculate o.
-1, 1
Let n(v) be the first derivative of v**6/15 - 3*v**5/10 + v**4/2 - v**3/3 + 2*v - 1. Let a(m) be the first derivative of n(m). Factor a(z).
2*z*(z - 1)**3
Let u = -10 - -8. Let f be 1*-6*u/6. Factor 2*k**4 - 3*k**3 - k - k - 5*k**3 + 6*k**f + 2*k**3.
2*k*(k - 1)**3
Let n(g) be the third derivative of -3*g**2 + 1/210*g**7 + 1/240*g**6 + 0*g**5 + 0*g**4 + 0 + 0*g + 0*g**3 + 1/672*g**8. Factor n(t).
t**3*(t + 1)**2/2
Let h = -21521/1045 + -6/1045. Let d = h + 21. Factor -1/5*b**2 - d*b**3 