for x.
0, 1/3, 1
Let a(s) be the first derivative of s**6/1080 - s**5/60 + s**4/8 + 4*s**3/3 - 2. Let d(r) be the third derivative of a(r). Factor d(x).
(x - 3)**2/3
Let n(f) be the first derivative of -f**6/10 - 3*f**5/4 - 3*f**4/4 + 9*f**3/2 + 3*f - 3. Let y(t) be the first derivative of n(t). What is m in y(m) = 0?
-3, 0, 1
Let m be (-125)/150*(-6)/10. Solve 0 + 1/2*o**4 - 1/2*o - 1/2*o**2 + m*o**3 = 0 for o.
-1, 0, 1
Let y be -4 + (208/(-12))/(-4). Let f(n) be the first derivative of -1 + n + 0*n**2 - y*n**3. Factor f(d).
-(d - 1)*(d + 1)
Let b be (8/(-30))/((-10)/(-90)) + 3. Find g such that 3/5*g**2 + 0 + 3/5*g - b*g**4 - 3/5*g**3 = 0.
-1, 0, 1
Factor 3/5*o**2 + 0 + 0*o.
3*o**2/5
Suppose 2 + 3*j - 1197*j**2 + 1196*j**2 - 4*j = 0. What is j?
-2, 1
Factor 12/5*c - 2/5*c**2 - 2.
-2*(c - 5)*(c - 1)/5
Let r(v) be the second derivative of v**4/72 - 5*v**3/36 + v**2/3 + 19*v. Factor r(z).
(z - 4)*(z - 1)/6
Let t(s) be the third derivative of -s**9/7560 - s**8/2100 + s**6/450 + s**5/300 + 2*s**3/3 - 5*s**2. Let y(u) be the first derivative of t(u). Factor y(b).
-2*b*(b - 1)*(b + 1)**3/5
Let p(i) = i + 1. Let x(w) = 3*w**2 + 8*w - 1. Let r be (-152)/(-32) - 1/(-4). Let b(y) = r*p(y) - x(y). Find u, given that b(u) = 0.
-2, 1
Let p(d) = 2*d**3 - 12*d**2 - 5*d + 32. Let y be p(6). Suppose -2/7*r**y + 2/7 - 2/7*r**3 + 2/7*r = 0. Calculate r.
-1, 1
Let k(d) = 0*d**3 + 3*d - 3*d**2 + d**3 + 0*d**2. Let t be k(2). Factor -2*x + 0*x + 1 + 0*x**2 + x**t.
(x - 1)**2
What is d in -1/6*d**4 - 1/6*d**2 + 0 - 1/3*d**3 + 0*d = 0?
-1, 0
Let a(z) be the third derivative of -4*z**7/315 - 13*z**6/180 - z**5/6 - 7*z**4/36 - z**3/9 - 14*z**2. Let a(d) = 0. Calculate d.
-1, -1/4
Suppose -z - 7*z**2 + 8*z**2 + 0*z = 0. What is z?
0, 1
Let a be ((-2)/18)/(2/(-6)). Let p be (-4)/(-9) - (6 - (-168)/(-27)). Factor -a*d**3 + 0 - 1/3*d + p*d**2.
-d*(d - 1)**2/3
Suppose g + 0*g - 4 = 0. Suppose -g*z = -3*z + 2*t - 19, -3*t + 60 = 5*z. Find y such that -4*y + z*y**3 + 10*y**4 + 4*y**2 - 2*y**2 + 7*y**3 = 0.
-1, 0, 2/5
Let n be ((-357)/(-180) - 2)*-1. Let l(i) be the third derivative of -n*i**6 + 0*i - 1/12*i**4 + 0*i**3 + 0 - 1/15*i**5 - 2*i**2. Factor l(j).
-2*j*(j + 1)**2
Suppose -g - 3*n = 31 - 4, -39 = 3*g - 5*n. Let v be (-2)/9 - 40/g. Factor 4*i**2 - i**2 - v*i**2.
i**2
Let i(a) be the second derivative of a**9/13608 - a**7/3780 + a**3/3 - 5*a. Let g(k) be the second derivative of i(k). Factor g(h).
2*h**3*(h - 1)*(h + 1)/9
Let x = -1521/20 + 383/10. Let t = x + 38. Solve t*i**2 - 1/4*i**3 + 1/4*i - 1/4 = 0 for i.
-1, 1
Let s be (9/2)/((-9)/(-6)). Let a(m) be the first derivative of -3 + 1/3*m**2 + 8/15*m**5 + m**4 + 8/9*m**s + 1/9*m**6 + 0*m. Factor a(j).
2*j*(j + 1)**4/3
Let t(c) be the second derivative of -c**9/756 - c**8/210 - c**7/210 - 4*c**3/3 - 4*c. Let j(y) be the second derivative of t(y). Factor j(i).
-4*i**3*(i + 1)**2
Suppose -3*z + 4 = -5. Factor 14*i + 42*i**4 + 2*i**2 - 6*i**z + 98*i**4 - 42*i**2 + 98*i**5 - 6*i.
2*i*(i + 1)**2*(7*i - 2)**2
Factor 1/6*z**4 + 0*z + 1/2*z**2 + 2/3*z**3 + 0.
z**2*(z + 1)*(z + 3)/6
Determine p, given that p**2 - 2*p - 6*p + 2*p - 4*p**2 = 0.
-2, 0
Let q = 19 + -17. Let 12*s + 14*s**5 - 3 - 4*s**4 - 24*s**3 + 6*s**2 - q*s**5 + 2*s**4 - s**4 = 0. Calculate s.
-1, 1/4, 1
Let 2*z**2 - z**3 - 8/7*z + 1/7*z**4 + 0 = 0. What is z?
0, 1, 2, 4
Let v(r) = -r**2. Let p(q) = 2*q**2 + 8*q + 16. Let f(a) = -p(a) - v(a). Determine t so that f(t) = 0.
-4
Let d = -4 + 6. Let m be 3/(d/(-6)*-3). Suppose m*v**3 - 3*v**4 + 2*v**5 + 4*v**5 - v**2 - 5*v**5 = 0. What is v?
0, 1
Let j = -16 - -10. Let b be ((-4)/8)/(j/4). Solve b*g + 1/3*g**5 + 4/3*g**4 + 4/3*g**2 + 2*g**3 + 0 = 0 for g.
-1, 0
Suppose -2/3*d**4 - 4/3*d**3 - 8/3 + 8/3*d + 2*d**2 = 0. What is d?
-2, 1
Let d be 5*16*(-2)/(-60). Factor -d - 10/3*i**2 - 16/3*i - 2/3*i**3.
-2*(i + 1)*(i + 2)**2/3
Factor 5/3*l + 1/3*l**4 - l**2 - 1/3*l**3 - 2/3.
(l - 1)**3*(l + 2)/3
Let k(u) be the third derivative of -1/36*u**4 - 1/9*u**3 - 1/360*u**5 + 0 + 2*u**2 + 0*u. Factor k(m).
-(m + 2)**2/6
Factor 2/11*p**2 - 4/11*p + 2/11*p**3 + 0.
2*p*(p - 1)*(p + 2)/11
Let v(t) be the first derivative of 3*t**4 + 100*t**3/3 - 39*t**2 + 34*t + 8. Let q(s) = -s**3 - 9*s**2 + 7*s - 3. Let o(w) = 68*q(w) + 6*v(w). Factor o(h).
4*h*(h - 2)*(h - 1)
Let f be (85/70 - 1)/(6/16). Let z be (-2)/4*(2 + -2). Determine r so that -8/7*r**4 - 2/7*r**3 + f*r**2 + 6/7*r**5 + 0 + z*r = 0.
-2/3, 0, 1
Let l(i) = 14*i**3 - 114*i**2 - 314*i - 186. Let q(h) = 3*h**3 - 23*h**2 - 63*h - 37. Let w(o) = -2*l(o) + 11*q(o). Factor w(y).
5*(y - 7)*(y + 1)**2
Suppose -601 + 601 = 7*g. What is l in -2/3*l**2 + g - 2*l = 0?
-3, 0
Let q be 3 + 0 + 33/(-11). What is s in -1/3*s**2 + 1/3 + q*s = 0?
-1, 1
Suppose 5*r = -0*x - x + 19, 4*r = 3*x + 19. Suppose -1/2*a**3 + 1/4 - 1/2*a**2 + 1/4*a**5 + 1/4*a**r + 1/4*a = 0. What is a?
-1, 1
Let 2/13*x**4 - 12/13*x**5 + 0*x + 6/13*x**2 + 20/13*x**3 + 0 = 0. What is x?
-1, -1/3, 0, 3/2
Suppose 3*t = -i + 5, -i + 5*t = -2 - 3. Let y be -2 - (-3 - i/(-25)). What is c in 0*c + y*c**2 + 0*c**3 - 2/5*c**4 - 2/5 = 0?
-1, 1
Suppose 43 = 4*j + 11. Suppose j*d + 4 = -4*z + 3*d, 0 = 4*z + 4*d. Factor 4*a**2 + z*a + 4*a**3 + a**5 - 3*a + 2*a**3 + 4*a**4.
a*(a + 1)**4
Let u(y) = -y**3 + 4*y**2 - y - 3. Let a be u(3). Suppose -a*f = 3*l - 12 - 0, l - 4 = -3*f. Factor 3/4*c**4 + f - c**3 + 0*c + 1/4*c**2.
c**2*(c - 1)*(3*c - 1)/4
Let h(i) = -6*i**3 + 16*i**2 - 26*i + 16. Let y(w) = -5*w**3 + 15*w**2 - 25*w + 15. Let v(t) = 3*h(t) - 4*y(t). Solve v(r) = 0.
1, 2, 3
Let m be (-1)/(-2) - 52/(-8). Factor -3*t**3 - m*t + 5*t + 2*t.
-3*t**3
Let h(f) be the first derivative of f**7/1050 - f**6/200 + f**5/100 - f**4/120 - f**2/2 - 3. Let s(m) be the second derivative of h(m). Factor s(c).
c*(c - 1)**3/5
Let g(d) = -2*d**3 + 8*d**2 - 4*d - 1. Let t(k) = k**3 - k**2 + k. Let c(l) = -g(l) - 5*t(l). Let i be c(-2). Factor -2*n**4 - 15*n**2 + i*n**2.
-2*n**4
Suppose -6*g - 19 = -5*g. Let i = g + 23. Factor 0*n**3 + 0 + 1/5*n**5 - 2/5*n**2 - 1/5*n + 2/5*n**i.
n*(n - 1)*(n + 1)**3/5
Let g(q) = 36*q**2 - 33*q - 45. Let u(v) = -v**2 - 1. Let o(l) = -g(l) + 12*u(l). Let t(i) = -3*i**2 + 2*i + 2. Let y(r) = 2*o(r) - 33*t(r). Factor y(n).
3*n**2
Let q(y) be the first derivative of 4/9*y**3 + 0*y + 0*y**2 + 2/3*y**4 + 5. Factor q(k).
4*k**2*(2*k + 1)/3
Let a(u) be the third derivative of 0*u + 0*u**4 + 1/15*u**5 + 5*u**2 - 1/105*u**7 + 0 + 0*u**6 - 1/3*u**3. Factor a(r).
-2*(r - 1)**2*(r + 1)**2
Let s(t) be the second derivative of -t**8/1008 + t**7/315 - t**5/90 + t**4/72 - 3*t**2/2 + 3*t. Let v(f) be the first derivative of s(f). Factor v(q).
-q*(q - 1)**3*(q + 1)/3
Let g(d) be the first derivative of -4*d**3/3 - 2*d**2 + 7. Factor g(v).
-4*v*(v + 1)
Let i(r) be the third derivative of 0*r - 1/180*r**6 - 1/9*r**3 + 0 - 3*r**2 + 1/36*r**4 + 1/90*r**5. What is x in i(x) = 0?
-1, 1
Let n(v) = 2*v**4 + 2*v**3 - 12*v**2 - 14*v - 6. Let a(r) = -r**3 - r. Let j(o) = -2*a(o) - n(o). Factor j(m).
-2*(m - 3)*(m + 1)**3
Let n(b) be the third derivative of -b**6/50 + 3*b**5/100 + b**4/40 + 19*b**2. Suppose n(v) = 0. Calculate v.
-1/4, 0, 1
Find w, given that 3*w**2 - 12*w + 7*w**3 + 8 + 8*w**4 - 19*w**2 + 17*w**3 - 12*w**5 = 0.
-1, 2/3, 1
Let y(r) be the third derivative of r**11/332640 - r**10/50400 + r**8/5040 - r**5/60 - r**2. Let o(s) be the third derivative of y(s). Factor o(p).
p**2*(p - 2)**2*(p + 1)
Let d be 753/1255 + 19/35. Let q be 2/9 - (-116)/126. Factor -12/7*s**3 - d*s**2 - 2/7*s**5 - q*s**4 + 0 - 2/7*s.
-2*s*(s + 1)**4/7
Factor -1/2*g**2 - 4*g - 8.
-(g + 4)**2/2
Let g = 16/27 + 1/135. Find x such that -6/5*x**2 + g*x + 0 + 3/5*x**3 = 0.
0, 1
Let o(l) be the first derivative of -8 + 16/9*l**3 - 8/3*l + 14/3*l**2. Factor o(x).
4*(x + 2)*(4*x - 1)/3
Let p(k) = 8*k**3 - 4*k**2 - 10*k - 10. Let b(x) = x**3 - x - 1. Let v(a) = -20*b(a) + 2*p(a). Let v(c) = 0. What is c?
-2, 0
Let c(h) be the first derivative of h**6/33 + 6*h**5/55 - h**4/22 - 2*h**3/3 - 12*h**2/11 - 8*h/11 - 2. Find s, given that c(s) = 0.
-2, -1, 2
Let l(w) = 2*w**2 - w - 3. Let g = -9 + 4. Let n(y) = 2 + y**2 + 1 - y - 5. Let v(r) = g*n(r) + 3*l(r). Find b such that v(b) = 0.
-1
Let f be (-3)/(-4) + 1/4. Let u be (-5 + f)*14/(-8). Factor -i**3 - u*i + i**4 + 7*i.
i*