 = m**3 - 3*m**2 - 4*m - 4. Let y be q(4). Let f = y + 6. Suppose -4 + 5 + 3*r**f - 4*r**2 = 0. What is r?
-1, 1
Suppose -5*z + 7*q = 5*q + 63, 6 = -2*z - 4*q. Let o = z - -19. Find b such that 0*b**3 + 12*b**3 + 8*b**2 + 3*b**5 - b**5 + 2*b + o*b**4 = 0.
-1, 0
Let b(m) be the third derivative of 0*m**4 + 2*m**2 - 1/210*m**5 + 0*m - 1/210*m**6 + 0*m**3 - 1/735*m**7 + 0. Find o, given that b(o) = 0.
-1, 0
Let d be (-2 + 6)/((-4)/(-6)). Let p(o) be the third derivative of 1/3*o**3 - o**2 + 0*o**5 + 0 - 1/105*o**7 - 1/6*o**4 + 1/30*o**d + 0*o. Factor p(l).
-2*(l - 1)**3*(l + 1)
Let t(q) = -3*q - 38. Let x be t(-14). Factor -4/9*n**2 - 4/9*n**3 + 2/9 + 2/9*n**x + 2/9*n**5 + 2/9*n.
2*(n - 1)**2*(n + 1)**3/9
Let i be 6/(-15) - (-192)/30. Let t be (i/27)/(5/9). What is m in -t*m**3 + 4/5*m**2 + 0*m + 0 = 0?
0, 2
Let x(h) be the first derivative of 1/4*h**4 + 1 + 0*h - 1/2*h**2 + 0*h**3. Factor x(v).
v*(v - 1)*(v + 1)
Let f(t) be the second derivative of t**6/135 - t**5/90 - t**4/27 - 12*t. Factor f(a).
2*a**2*(a - 2)*(a + 1)/9
Let z = 473 - 1883/4. Factor 1/4*q + 0 + 1/2*q**5 - 7/4*q**4 - 5/4*q**2 + z*q**3.
q*(q - 1)**3*(2*q - 1)/4
Let a(u) be the first derivative of 2*u**3/9 + u**2 + 5. Suppose a(z) = 0. Calculate z.
-3, 0
Let s(a) be the third derivative of -a**6/360 + 13*a**2. Factor s(q).
-q**3/3
Let j(a) = -a - 9. Let m be j(-9). Factor -1/2*t**2 + m + 0*t.
-t**2/2
Let j(l) = l**3 + 3*l**2 - l - 4. Let c be j(-3). Let a be 3 - 0/(c - -3). Factor 1/2*w**5 + 3/4*w**4 + 0*w**a + 0*w - 1/4*w**2 + 0.
w**2*(w + 1)**2*(2*w - 1)/4
Suppose 22 = 5*v - 3*c, 4*v + 2*c + 2 = v. Factor 8/5 + 10*b**v + 8*b.
2*(5*b + 2)**2/5
Let i(y) = -9*y**2 - 104*y - 496. Let a(c) = -10*c**2 - 105*c - 495. Let n(v) = 4*a(v) - 5*i(v). Factor n(p).
5*(p + 10)**2
Let m(g) = -g**2 + 3*g + 5. Let u be m(5). Let d = u - -7. Factor 5*j**4 - d*j**4 - 7*j**3 - 2*j**3 - 2*j + 9*j**2 - j.
3*j*(j - 1)**3
Let j be 8 + ((-429)/27 - -9). Suppose 0 = 2*o - o - 2. Determine f so that j*f + 2/3*f**o - 4/9 = 0.
-2, 1/3
Factor -3/4*m**4 + 1/4*m**3 + 1/4*m**5 + 0 - 1/2*m + 3/4*m**2.
m*(m - 2)*(m - 1)**2*(m + 1)/4
Let r(a) be the first derivative of 5*a**5/3 - 5*a**4/12 - 16*a**3/9 - 2*a**2/3 - 7. Factor r(g).
g*(g - 1)*(5*g + 2)**2/3
Let q(r) = -4*r**4 + 19*r**3 + 15*r**2 - r + 7. Let x(p) = 3*p**4 - 13*p**3 - 10*p**2 + p - 5. Let y(g) = 5*q(g) + 7*x(g). Factor y(n).
n*(n + 1)**2*(n + 2)
Let r(v) = -v**2 + 7*v + 8. Let x(i) = -i**2 + 8*i + 9. Let f(g) = -6*r(g) + 5*x(g). Let f(a) = 0. What is a?
-1, 3
Let r(y) be the first derivative of -y**3 + 6*y**2 - 12*y - 9. Solve r(i) = 0.
2
Suppose -4 = -25*v + 24*v. Suppose -16 = -5*o - u + v*u, -3*o - 2*u = -2. Find q such that 0*q + 1/3 - 1/3*q**o = 0.
-1, 1
Let z(c) = 10*c**4 - 80*c**3 - 35*c - 35. Let d(m) = m**4 - 9*m**3 - 4*m - 4. Let o(u) = -35*d(u) + 4*z(u). Solve o(v) = 0 for v.
0, 1
Find r such that 14/17*r**2 + 18/17*r**3 + 2/17*r**5 + 10/17*r**4 + 0 + 4/17*r = 0.
-2, -1, 0
Let c = -997 - -999. Factor 2/7*b**5 + 4*b**3 + 18/7*b + 12/7*b**4 + 32/7*b**c + 4/7.
2*(b + 1)**4*(b + 2)/7
Let k(p) be the second derivative of p**8/3360 + p**7/1260 - p**6/360 - p**5/60 - p**4/6 + 2*p. Let g(x) be the third derivative of k(x). Factor g(z).
2*(z - 1)*(z + 1)**2
Let 0 + y + 1/2*y**3 + 3/2*y**2 = 0. Calculate y.
-2, -1, 0
Suppose 0 = 5*l - 4*j - j + 15, -j + 15 = 5*l. Let s be (-1 + (-7)/(-5))*l. What is g in 0*g**2 - 6/5*g**4 + 2/5*g**3 + s*g**5 + 0*g + 0 = 0?
0, 1/2, 1
Factor -3*p**4 - 3*p**3 + 2*p**4 - p + 2*p**4 - 2*p**2 + 5*p**2.
p*(p - 1)**3
Let b(h) be the third derivative of h**6/180 - h**5/30 + 4*h**3/9 - 8*h**2. Factor b(p).
2*(p - 2)**2*(p + 1)/3
Suppose -h + 25 = 5*s, -2*h + 26 = 2*s + 2*s. Find d such that 5*d**4 - 11*d**2 + 0*d + 0*d**4 + s*d - 4*d**3 + 4 + 2*d**5 = 0.
-2, -1/2, 1
Let u(v) be the first derivative of 5/3*v**2 + 4/3*v + 8/9*v**3 + 1/6*v**4 - 1. Factor u(l).
2*(l + 1)**2*(l + 2)/3
Let s(r) be the first derivative of r**6/8 + 3*r**5/10 - 9*r**4/16 - r**3 + 3*r**2/2 - 14. Determine y so that s(y) = 0.
-2, 0, 1
Let s be 3/(2 + (-14)/4). Let f = s + 2. Factor f*t**4 - t**4 - t**4.
-2*t**4
Let d = 1 + 1. Factor -5*v**3 + v**3 + 5*v**2 + d*v**3 - 6*v + v**2 + 2.
-2*(v - 1)**3
What is v in 9/5*v + 12/5*v**2 + 0 = 0?
-3/4, 0
Solve -2*x**2 - 53*x - 2*x**3 + 56*x + x**3 = 0 for x.
-3, 0, 1
Let b(z) be the third derivative of z**6/24 - z**5/4 + 10*z**3/3 + 20*z**2. Determine d so that b(d) = 0.
-1, 2
Factor 0*u**3 - 6*u**3 + 2*u**2 - 6*u**2 - u**5 + 3*u**5.
2*u**2*(u - 2)*(u + 1)**2
Let t(z) = -z**2 - z - 2. Let u(q) = -3. Let s(f) = -3*t(f) + 2*u(f). Factor s(g).
3*g*(g + 1)
Suppose 0 = i - 1 - 0. Factor 106*g**2 - i - 1 + 9*g - 113*g**2.
-(g - 1)*(7*g - 2)
Let n(a) be the third derivative of -1/2*a**3 + 0 - 1/20*a**5 - 3*a**2 + 1/4*a**4 + 0*a. Factor n(w).
-3*(w - 1)**2
Let p be (33/(-22))/((-6)/(-424)). Let n = p + 1170/11. Factor -n*q**2 + 2/11*q + 0 + 2/11*q**3.
2*q*(q - 1)**2/11
Let c(i) be the second derivative of -1/21*i**3 - 2*i + 1/70*i**5 + 0 - 1/105*i**6 + 0*i**2 + 1/42*i**4. Factor c(k).
-2*k*(k - 1)**2*(k + 1)/7
Let g = 88 + -84. Let a(f) be the third derivative of 0*f + f**2 - 2/3*f**3 + 0 - 1/30*f**5 - 1/4*f**g. Factor a(j).
-2*(j + 1)*(j + 2)
Factor 5/4*b**4 + 5/2*b**3 + 5/2*b**2 + 1/4 + 1/4*b**5 + 5/4*b.
(b + 1)**5/4
Let i = -4801/7 + 687. Let -12/7*r**3 - 2/7*r - 2/7*r**5 + 0 - i*r**4 - 8/7*r**2 = 0. What is r?
-1, 0
Find p such that -14/9*p - 4/9 + 2*p**2 = 0.
-2/9, 1
Let c(d) be the first derivative of 3*d**4/16 - d**3/12 - 3*d**2/8 + d/4 + 5. Factor c(r).
(r - 1)*(r + 1)*(3*r - 1)/4
Suppose -k + 3*w + 16 = -20, -22 = -k - 4*w. Factor 36*s - k*s**2 - 1 + 7*s**3 - 6 - 1.
(s - 2)**2*(7*s - 2)
Suppose 32 = 5*f + 2. Suppose -11*k + 15 = -f*k. What is s in -2/9*s**k + 0 + 2/9*s + 0*s**2 = 0?
-1, 0, 1
Suppose 0 = -b + 2*b - 4. Suppose -a - f + b = a, 0 = -2*a + 3*f + 4. Factor -a*q - 3*q**2 - 4*q**2 + 4*q.
-q*(7*q - 2)
Let h(r) be the first derivative of 3*r**5/40 + r**4/8 - 3*r - 3. Let v(a) be the first derivative of h(a). Solve v(u) = 0 for u.
-1, 0
Let h(i) = i**2 + 6*i - 3. Let d be h(-7). Factor -2*g**3 - 2*g**d + 3*g + 0 + 2 + 7*g + 6*g**2 + 2.
-2*(g - 2)*(g + 1)**3
Suppose 0 - 4 = -4*q. Let w be (q/(-2))/(3 + -5). Factor 1/4*x**3 + 0 + 1/2*x**2 + w*x.
x*(x + 1)**2/4
Let v = -673/5 + 135. Factor -v + 2/5*q**5 - 2/5*q**4 - 4/5*q**3 + 4/5*q**2 + 2/5*q.
2*(q - 1)**3*(q + 1)**2/5
Determine l so that -2 - 4*l**2 + 3 + 4*l**3 - 8*l - 1 = 0.
-1, 0, 2
Factor -8/11*w**2 - 4/11 + 10/11*w + 2/11*w**3.
2*(w - 2)*(w - 1)**2/11
Let g(i) be the third derivative of i**8/168 + 4*i**7/105 - i**6/20 - 3*i**5/5 + 47*i**2. Factor g(z).
2*z**2*(z - 2)*(z + 3)**2
Let h(v) be the second derivative of -v**5/30 - v**4/18 + 5*v. Factor h(w).
-2*w**2*(w + 1)/3
Let n be (-1)/3 + 2/(-3). Let l be n/(-2) + (-5)/(-5). Determine k so that 0 + 0*k**2 - l*k**3 + 3/2*k = 0.
-1, 0, 1
Let c be 2/(-11) - (-140)/44. Let 2*n**4 - 4*n**4 - 4*n**c + 4*n**4 = 0. Calculate n.
0, 2
Suppose 5*d = 3*x - 5*x + 12, -3*x + 3 = 0. Factor 3/2 - d*v + 1/2*v**2.
(v - 3)*(v - 1)/2
Let o(a) = a**3 - 5*a**2 + 6*a - 4. Let x(c) = 2*c**2 + 2*c**3 - 8*c**2 - 6*c**2 + 2*c**2 + 11*c - 8. Let k(t) = -15*o(t) + 6*x(t). Factor k(v).
-3*(v - 2)**2*(v - 1)
Let t be ((-6)/(-8))/((-33)/(-64)*4). Determine r so that -4/11*r**2 - 2/11*r + t*r**4 + 2/11*r**5 + 0*r**3 + 0 = 0.
-1, 0, 1
Let a be ((-2)/(-12))/((-200)/(-15)). Let w(k) be the third derivative of 1/20*k**5 + 2*k**2 - a*k**6 + 0*k**3 + 0*k + 0 - 1/16*k**4. Factor w(s).
-3*s*(s - 1)**2/2
Let a(w) = w**2 - 5*w. Let i be a(4). Let r = i + 6. Factor r + 0 - 4*j**2 + 2*j**2.
-2*(j - 1)*(j + 1)
Let d(a) be the second derivative of -a**9/5040 - a**8/1120 + a**6/120 + a**5/40 + 5*a**4/12 + 5*a. Let v(c) be the third derivative of d(c). Factor v(f).
-3*(f - 1)*(f + 1)**3
Let l be 4/10 + (-1)/5. Suppose -2*q = -c + 5, 5*q - 22*c + 18*c = -20. Factor 1/5*m**3 + 0 - l*m**2 + q*m.
m**2*(m - 1)/5
Find p such that 2/3*p + 2 - 4/3*p**3 + 2*p**4 + 2/3*p**5 - 4*p**2 = 0.
-3, -1, 1
Let k(t) be the first derivative of t**4/18 - 2*t**3/27 - t**2/9 + 2*t/9 + 3. Let k(r) = 0. Calculate r.
-1, 1
Factor 2*g + 259 + 2*g**2 - 259.
2*g*(g + 1)
Factor -140*l + 170*l + 102 + 3*l**2 - 27.
3*(l + 5)**2
Let t(v) = -5*v**2 - 40*v - 19. Let g(k) = -6*k**2 - 42