*x**4 + 1/6*x**3 + 0 + 0*x**2 - 1/42*x**7 + 0*x**5 - 1/15*x**6. Suppose g(s) = 0. Calculate s.
-1, 0, 1
Let k(v) = -v - 6. Let y be k(-8). Let q(a) be the first derivative of -y + 0*a**2 + 1/2*a**4 + 0*a + 2/9*a**3. What is b in q(b) = 0?
-1/3, 0
Let k(g) be the third derivative of -g**5/160 - g**4/32 - 11*g**2. Factor k(u).
-3*u*(u + 2)/8
Let d(o) be the third derivative of o**8/112 - 2*o**7/35 + o**5/2 - o**4/8 - 3*o**3 + 4*o**2 + 2*o. Find b such that d(b) = 0.
-1, 1, 2, 3
Let o(x) be the first derivative of x**3 + 1/4*x**4 + x - 2 + 3/2*x**2. Factor o(q).
(q + 1)**3
Let m(k) = k**3 - 31*k**2 + 59*k - 29. Let c be m(29). Let c + 4/7*y**2 + 0*y = 0. What is y?
0
Let k(b) = 3*b**4 - 4*b**3 + 11*b**2 - 10*b + 2. Let q(s) = -4*s**4 + 3*s**3 - 10*s**2 + 9*s - 1. Let w(x) = -3*k(x) - 2*q(x). Factor w(m).
-(m - 2)**2*(m - 1)**2
Solve -3/2*b - 1/2*b**2 - 1 = 0.
-2, -1
Let x(j) be the second derivative of -1/15*j**4 + 0*j**2 + 0 - 1/50*j**5 + 4*j - 1/15*j**3. Let x(m) = 0. Calculate m.
-1, 0
Let h = -5699/20 + 285. Let f(s) be the second derivative of -1/6*s**3 - 1/36*s**4 + 0 + 1/6*s**2 + s + h*s**5. Factor f(r).
(r - 1)*(r + 1)*(3*r - 1)/3
Let n(l) = 5*l**4 + 8*l - l**2 + 2*l**3 + l**4 + l**4 + 2*l**3. Let p(t) = 20*t**4 + 11*t**3 - 3*t**2 + 23*t. Let i(b) = -17*n(b) + 6*p(b). Factor i(w).
w*(w - 2)*(w - 1)*(w + 1)
Let d(x) be the third derivative of -1/6*x**4 - 1/15*x**5 + 0 - 22/105*x**7 + 2*x**2 + 1/21*x**8 + 3/10*x**6 + 0*x + 0*x**3. Factor d(f).
4*f*(f - 1)**3*(4*f + 1)
Let a = 5/41 - -211/287. Factor -a*q**2 + 2/7*q**3 + 0 + 4/7*q.
2*q*(q - 2)*(q - 1)/7
Let n(s) be the second derivative of -3/2*s**3 + 0*s**4 + 3/20*s**5 - 5*s + 0 + 3*s**2. Factor n(x).
3*(x - 1)**2*(x + 2)
Let d(v) = -v**3 + 4*v**2 - 5. Let b be d(2). Factor 3/2*o - b*o**2 + 3/2*o**3 + 0.
3*o*(o - 1)**2/2
Suppose 0 = -11*m + 39 + 16. Factor 0*j - 4/7*j**2 - 18/7*j**3 - 10/7*j**m - 24/7*j**4 + 0.
-2*j**2*(j + 1)**2*(5*j + 2)/7
Let l(o) be the third derivative of 2/45*o**5 + 1/9*o**4 + 0 - 2/315*o**7 + 0*o + 1/504*o**8 - 5*o**2 - 1/60*o**6 + 0*o**3. Factor l(s).
2*s*(s - 2)**2*(s + 1)**2/3
Suppose 2*w = -3*o + 3, 3 = -0*w - 2*w - o. Let t be (-5)/15*w/2. Solve 0*v + 1/2 - t*v**2 = 0.
-1, 1
Factor 2/5*w + 2/5*w**2 - 2/5 - 2/5*w**3.
-2*(w - 1)**2*(w + 1)/5
Suppose 2*n = 3*n. Let z be (-8 - -10) + 0/5. Factor 1/5*v**3 + n*v**z + 0 - 1/5*v.
v*(v - 1)*(v + 1)/5
Factor -8/5*b**2 - 1/5*b**4 + 4/5*b + 0 + b**3.
-b*(b - 2)**2*(b - 1)/5
Let -2/3*g + 4/3 - 2*g**2 + 2/3*g**3 + 2/3*g**4 = 0. Calculate g.
-2, -1, 1
Let j(z) be the first derivative of 1/2*z**4 + 4/3*z**3 - 4/5*z**5 - 4 + 1/2*z**2 - 1/2*z**6 + 0*z. Determine c, given that j(c) = 0.
-1, -1/3, 0, 1
What is k in 1 + 3/2*k + 1/2*k**2 = 0?
-2, -1
Determine l, given that 0*l + 2/3*l**2 + 0 + 1/3*l**4 + l**3 = 0.
-2, -1, 0
Let z be (2/(-3))/((-2)/15). Find q, given that 3*q**4 - 2*q**2 - 2*q**3 - 1 - 2*q + 4*q**3 - q + q**z = 0.
-1, 1
Let i be (20/16)/((-9)/12 - -1). Solve 0 + 0*o**3 + 2/5*o**4 + 0*o + 6/5*o**i + 0*o**2 = 0 for o.
-1/3, 0
Let p be (0/(-5))/5 + 1/4. Factor 1/4 + 0*u - p*u**2.
-(u - 1)*(u + 1)/4
Let j be (3 - 2035/675)*(-3)/4. Let m(g) be the third derivative of 0*g**3 + 0 + 0*g - 2*g**2 - 1/36*g**4 + j*g**5 + 1/90*g**6. Factor m(y).
2*y*(y + 1)*(2*y - 1)/3
Let c(r) = 3*r**5 + 4*r**4 + 2*r**3 - 2*r**2 - 3*r. Let p(b) = -b**5 - b**4 - b**3 + b. Let u(y) = c(y) + 2*p(y). Let u(l) = 0. What is l?
-1, 0, 1
Let r(j) = -9*j**5 + j**4 + 8*j**3 - 17*j**2 + 17*j - 17. Let y(u) = u**5 - u**3 + 2*u**2 - 2*u + 2. Let w(q) = -6*r(q) - 51*y(q). Factor w(v).
3*v**3*(v - 1)**2
Let b = -584/1235 - 72/95. Let z = b + 74/39. Suppose z*a**3 + 2/9*a**4 + 2/3*a**2 + 2/9*a + 0 = 0. Calculate a.
-1, 0
Let n(j) be the third derivative of -1/180*j**5 + 1/72*j**4 + 4*j**2 + 0*j**3 + 0*j + 0. Factor n(o).
-o*(o - 1)/3
Let m(i) = i**3 - 2*i**2 - 2*i - 4. Let l(g) = g**3 - g**2 - g - 3. Let t(j) = -5*l(j) + 4*m(j). Factor t(n).
-(n + 1)**3
Suppose -5*y = 4*b - 35, 4*b - 13 = 7. Let 2/3*c**2 + 4/9*c - 2/9*c**4 + 0*c**y + 0 = 0. What is c?
-1, 0, 2
Let a(c) be the first derivative of -4*c**2 + 1 + 8/3*c + 2*c**3. Determine x so that a(x) = 0.
2/3
Let -211 - 96*l + 787 + 2040*l**2 - 2036*l**2 = 0. What is l?
12
Suppose 3/4*u**4 + 3/2*u + 0 + 15/4*u**2 + 3*u**3 = 0. Calculate u.
-2, -1, 0
Determine q, given that 5*q**3 - 2*q**3 + q**3 + 4*q**4 + q + 5*q**3 + 6*q**2 = 0.
-1, -1/4, 0
Factor 1/4*z**3 + 0 + z**2 + z.
z*(z + 2)**2/4
Let g be 4/(-24) + 39/18. Let x(w) be the second derivative of -1/6*w**3 - w + 1/4*w**g + 1/24*w**4 + 0. Factor x(q).
(q - 1)**2/2
Solve 1/3*h**2 + 1/3 - 2/3*h = 0 for h.
1
Let j(z) be the third derivative of -z**8/21 - 10*z**7/21 - 29*z**6/15 - 61*z**5/15 - 14*z**4/3 - 8*z**3/3 - 20*z**2. What is r in j(r) = 0?
-2, -1, -1/4
Factor 3*d**4 + 5*d - 4*d**3 + d**3 - 7*d**2 - 2*d**3 + 6*d**2 - 2.
(d - 1)**2*(d + 1)*(3*d - 2)
Let f(a) be the third derivative of -a**8/2184 + a**7/1365 + 5*a**2. Factor f(o).
-2*o**4*(o - 1)/13
Let h be -2 + 3/3 + 1. Suppose -4*u = 16, u + h = 3*t - 16. Factor 0 + 0*k - 1/2*k**2 + 3/4*k**3 - 1/4*k**t.
-k**2*(k - 2)*(k - 1)/4
Let f be 26/24 + (-6)/(-54)*-3. Factor -1/4*j**2 - f*j + 0.
-j*(j + 3)/4
What is t in 1/2*t**4 - t**3 - t**2 + 1/2 + 1/2*t + 1/2*t**5 = 0?
-1, 1
Determine c so that -5/8*c**4 + 7/4*c - 7/4*c**3 - 3/8 + c**2 = 0.
-3, -1, 1/5, 1
Let x(u) be the third derivative of u**9/2016 - u**8/560 + u**6/120 - u**5/80 + 5*u**3/3 + 2*u**2. Let l(g) be the first derivative of x(g). Solve l(m) = 0.
-1, 0, 1
Let z(b) be the first derivative of 2*b**5/5 + 4*b**4 + 44*b**3/3 + 24*b**2 + 18*b + 47. Let z(o) = 0. Calculate o.
-3, -1
Factor 0*l**3 + 0 + 5/4*l**4 - 5*l**2 + 0*l.
5*l**2*(l - 2)*(l + 2)/4
Let i be -1*2 + 11 + -5. Factor -8/7*x**3 - 2/7*x**i - 8/7*x - 12/7*x**2 - 2/7.
-2*(x + 1)**4/7
Let k(q) = -q - 6. Let r be k(-9). Let d(n) be the third derivative of -1/100*n**5 - 2*n**2 + 0 + 0*n - 1/5*n**r + 3/40*n**4. Factor d(y).
-3*(y - 2)*(y - 1)/5
What is j in 1/2*j**2 + 0 + 1/2*j + 1/8*j**3 = 0?
-2, 0
Suppose 0 = -2*p + 5*v - 4, 8 = 3*p + 3*v - 7. Determine g so that 63*g**5 - 38*g**4 + 30*g**p - 6*g**2 + 15*g**3 - 64*g**4 = 0.
0, 2/7, 1/3, 1
Let i = 1961/5 + -392. Factor 2*d**3 + i*d**5 - d**4 - 2*d**2 - 1/5 + d.
(d - 1)**5/5
Let v(x) be the third derivative of -x**7/1260 - x**6/360 + x**5/30 - x**4/12 - 3*x**2. Let d(g) be the second derivative of v(g). Find s such that d(s) = 0.
-2, 1
Let n(k) be the first derivative of 0*k**3 + 0*k**2 + 2/15*k**5 + 0*k - 1/6*k**4 - 4. Factor n(l).
2*l**3*(l - 1)/3
Let v = -169 - -173. Let r(f) be the first derivative of 1/3*f**2 + 1/3*f + 2 - 1/6*f**v - 1/15*f**5 + 0*f**3. Determine b, given that r(b) = 0.
-1, 1
Factor -2/15*s**3 + 2/15*s + 0 + 0*s**2.
-2*s*(s - 1)*(s + 1)/15
Let a(t) be the first derivative of -t**6/15 + 3*t**5/25 + t**4/20 - t**3/5 + t**2/10 - 2. Solve a(u) = 0.
-1, 0, 1/2, 1
Let w be -1 + (4 - 1) + 2. Let -n**4 + w*n**2 - 3*n**2 + 5*n - 7*n + 2*n**3 = 0. Calculate n.
-1, 0, 1, 2
Let r be ((-3)/(-3))/((-1)/(-7)). Let u(c) = -6*c**4 - c**2 - 7*c. Let a(p) = 5*p**4 + p**2 + 6*p. Let s(q) = r*a(q) + 6*u(q). Factor s(w).
-w**2*(w - 1)*(w + 1)
Let k(p) be the first derivative of 7*p**5/20 - p**4/6 - 7*p**3/6 + p**2 - 3*p + 2. Let u(d) be the first derivative of k(d). Factor u(q).
(q - 1)*(q + 1)*(7*q - 2)
Let z = -58 + 60. Determine o, given that -4/3 - z*o - 2/3*o**2 = 0.
-2, -1
Factor 0 + 1/6*x**5 - 1/3*x**3 + 0*x**4 + 0*x**2 + 1/6*x.
x*(x - 1)**2*(x + 1)**2/6
Determine g so that -2/3 - 1/3*g + 1/3*g**2 = 0.
-1, 2
Let k = -30146 - -633251/21. Let m = 78/7 - k. Suppose 8/3*t**2 + 2/3 + 2/3*t**3 + m*t - 2/3*t**4 - 1/3*t**5 = 0. What is t?
-1, 2
Let h = 980/9 + -108. Factor 4/3*n**3 - 26/9*n**2 + 8/3*n - h - 2/9*n**4.
-2*(n - 2)**2*(n - 1)**2/9
Let o(l) be the third derivative of 0*l**5 + 0*l**3 + 0 + 0*l + 0*l**7 - l**2 - 1/60*l**6 + 1/168*l**8 + 0*l**4. Solve o(n) = 0 for n.
-1, 0, 1
Let i(x) = -x. Let f(q) = q**3 + 2*q**2 - 10*q + 4. Let m(b) = -f(b) + 3*i(b). Factor m(a).
-(a - 1)**2*(a + 4)
Let -500/9*t**2 + 90*t**4 + 14*t**3 + 56/3*t - 16/9 = 0. Calculate t.
-1, 2/9, 2/5
Let b(g) be the first derivative of -3/2*g**2 - g**4 + 2*g**3 + 3 + 1/2*g. Factor b(r).
-(2*r - 1)**3/2
Let m(x) be the first derivative of -1/15*x**6 - 8/15*x**3 + 2/5*x