 o, given that -3/2*o**3 + 1/2*o**4 - 1/2*o + 3/2*o**2 + 0 = 0.
0, 1
Let b(x) = -x**2 + 2*x - 3. Let a be b(-3). Let c be ((-2)/(-6))/((-2)/a). Solve c*m**2 - 3*m - m**2 + 7*m = 0 for m.
-2, 0
Let h = -8 - -11. Suppose -h*z + 15 = 3*j, -3*j + 19 = -0*j + 5*z. Find g such that g**2 - 5*g - g**3 + j*g - 1 + 3*g = 0.
-1, 1
Factor 0*w + 0*w**3 + 2/15*w**4 + 0*w**2 + 0 - 2/5*w**5.
-2*w**4*(3*w - 1)/15
Let l be (-3)/(207/2)*1. Let p = l - -77/276. What is x in -1/4 + 1/4*x**2 + 1/4*x**3 - p*x = 0?
-1, 1
Suppose -72 = -5*x - 27. Let l be (-24)/(-10) - x/(-15). Factor -7*k**l + 6 + 2 - 4 - 19*k**2 - 8*k.
-(k + 1)*(k + 2)*(7*k - 2)
Let t = -274 + 276. Suppose 0*n**t + 0 + 12/5*n - 21/5*n**3 + 9/5*n**4 = 0. Calculate n.
-2/3, 0, 1, 2
Suppose 108 = -q - 4*q - j, q - 3*j + 28 = 0. Let a be q/10 + 15/5. Factor 4/5*o**3 - 2/5 - a*o + 2/5*o**4 + 0*o**2.
2*(o - 1)*(o + 1)**3/5
Let s = -2 - -2. Let b(q) be the third derivative of 0*q**7 + 0*q + 0*q**4 + 0*q**5 + 0 - 1/672*q**8 + 1/240*q**6 + q**2 + s*q**3. Factor b(x).
-x**3*(x - 1)*(x + 1)/2
Let v(h) be the first derivative of h**5/10 + 9*h**4/16 + 11*h**3/12 - h - 40. Find f such that v(f) = 0.
-2, -1, 1/2
Let u be (6/12)/(2/(-80)). Let b be 0 - 3/(12/u). What is q in -4*q**3 - 2*q**4 - 2/5*q**b - 2/5 - 2*q - 4*q**2 = 0?
-1
Let u(h) = 4*h**4 + 8*h**3 - h**2 + 2*h + 7. Let o be (-1)/(1/(-2)) + -1. Let i(f) = f**4 + f**3 + f + 1. Let r(l) = o*u(l) - 5*i(l). Factor r(w).
-(w - 2)*(w - 1)**2*(w + 1)
Let x(a) be the first derivative of 0*a + 3/2*a**2 + 7 - 6/5*a**5 + 0*a**4 + 2*a**3 - 1/2*a**6. Factor x(c).
-3*c*(c - 1)*(c + 1)**3
Let f(d) be the third derivative of d**5/100 + d**4/40 - d**3/5 - 9*d**2. Find l such that f(l) = 0.
-2, 1
Let t(x) be the first derivative of x - 1/20*x**5 + 1/6*x**3 + 1/2*x**2 - 1/12*x**4 + 2. Let m(n) be the first derivative of t(n). Suppose m(v) = 0. What is v?
-1, 1
Let g be (-6)/(-9) - 4/6. Let g*s - 2/7*s**4 + 0*s**3 - 2/7*s**5 + 0 + 0*s**2 = 0. What is s?
-1, 0
Suppose 3*x - 4*x = 3*x. Factor x + 2/3*y**2 + 4/3*y.
2*y*(y + 2)/3
Let s(o) = -4*o - 7. Let p be s(-3). Let u(d) be the second derivative of -1/105*d**6 + 0*d**3 + 0*d**2 + 0*d**p + 1/42*d**4 - d + 0. Let u(x) = 0. Calculate x.
-1, 0, 1
Suppose -6 = h - 0*h. Let i = 6 + h. Factor i*v**2 + v**3 - 3*v**2 + 5*v**2 + v.
v*(v + 1)**2
Let s(t) be the third derivative of 2*t**7/105 - t**6/20 + t**5/30 + 7*t**2. Factor s(i).
2*i**2*(i - 1)*(2*i - 1)
Let s(d) = d - 3. Let y be s(6). Factor 0*t**y - t**3 + t - 4*t**3 + 4*t**3.
-t*(t - 1)*(t + 1)
Let n = 4 - 2. Suppose -d = n - 4. Determine c so that 0*c + d*c - 2*c**3 + 0*c = 0.
-1, 0, 1
Suppose -11*i + i = 0. Factor 0 - 1/2*g**2 + i*g + 1/2*g**3.
g**2*(g - 1)/2
Let v(s) be the first derivative of -1/4*s**3 + s - 2 - 1/2*s**2 + 1/8*s**4 + 1/20*s**5. Find q, given that v(q) = 0.
-2, 1
Let v(f) be the first derivative of -26/9*f**3 - 2/15*f**5 - 8/3*f - 4*f**2 - f**4 + 3. Factor v(a).
-2*(a + 1)**2*(a + 2)**2/3
Let m be (1 - (-70)/(-66))*-3. Suppose -f + 2*p = -12, -4*p + 16 = 3*f - 6*p. Suppose 0 + 0*v + 2/11*v**4 + 0*v**f + m*v**3 = 0. Calculate v.
-1, 0
Find a such that 4/3*a**2 + 2/3 + 5/3*a + 1/3*a**3 = 0.
-2, -1
Let v be (-5)/(-6) - (-8)/(-24). Factor v*p**2 - p + 0.
p*(p - 2)/2
Let y(n) = 6*n**2 + n. Let l be y(-1). Let z = -2 + l. Factor -2*k**3 + 6 + 4*k**z - k**4 - 5 - 2*k.
-(k - 1)**3*(k + 1)
Let p be ((-21)/28)/(3/(-8)). Factor 1/3 - 2/3*a + 1/3*a**p.
(a - 1)**2/3
Let a(h) = -h + 5. Let t be a(6). Let w be (4 - (t - 0)) + -1. Factor 5/2*f**3 + 1/2*f**5 + 0 + 0*f - 2*f**w - f**2.
f**2*(f - 2)*(f - 1)**2/2
Let u(r) = r**2 + 8*r - 6. Let v be u(-7). Let q be (-7 - -3)/(v + -1). Factor -6/7*p + 2/7 + 6/7*p**2 - q*p**3.
-2*(p - 1)**3/7
Factor 16/3 + 4*c**2 - 8*c - 2/3*c**3.
-2*(c - 2)**3/3
Let x(o) be the second derivative of -o**4/30 - 2*o**3/15 - 11*o. Determine k so that x(k) = 0.
-2, 0
Let m = 31 + -103. Let z be m/42 + 2/1. Factor 0 + z*q**2 - 2/7*q**3 + 0*q.
-2*q**2*(q - 1)/7
Let x be ((-9)/3 - -3)/(-3). Let t(n) be the first derivative of 1/4*n**2 + 3 - 2/3*n**3 + 3/4*n**4 + 1/12*n**6 - 2/5*n**5 + x*n. Suppose t(p) = 0. Calculate p.
0, 1
Determine b, given that 0 - 18*b**4 - 3/4*b**3 - 12*b**5 + 9/2*b**2 - 3/4*b = 0.
-1, 0, 1/4
Solve 19*q**2 + 3*q - 3*q**2 - 11*q**2 + 7*q = 0 for q.
-2, 0
Let x(a) be the first derivative of a**8/112 - a**7/70 - 3*a**6/40 + a**5/20 + a**4/4 + 7*a**2/2 + 7. Let v(i) be the second derivative of x(i). Solve v(t) = 0.
-1, 0, 1, 2
Factor 11*b + b**2 + 2 + 0*b**2 - 10*b - 4.
(b - 1)*(b + 2)
Solve -4/9*w - 2/9*w**2 + 2/9*w**3 + 0 = 0 for w.
-1, 0, 2
Let z be (-30)/(-20)*(-4)/(-9). Determine c, given that 2/3*c**2 - z*c**3 + 0*c + 0 = 0.
0, 1
Suppose 14*y = 19*y. Find u such that 0*u + 0*u**3 + y + 1/3*u**4 + 0*u**2 = 0.
0
Let j(a) be the first derivative of -a**6/3 - 8*a**5/5 - 5*a**4/2 - 4*a**3/3 + 41. Find x, given that j(x) = 0.
-2, -1, 0
Factor -8/5 - 6/5*g**2 + 2/5*g**4 - 4*g + g**3.
(g - 2)*(g + 2)**2*(2*g + 1)/5
Let f(p) be the first derivative of -3*p**5/10 - 9*p**4/8 + 3*p**2 - 2. Factor f(g).
-3*g*(g - 1)*(g + 2)**2/2
Let a(f) be the third derivative of 0*f**3 - 1/30*f**5 + 0*f**4 - 1/30*f**6 + 0*f + 3*f**2 + 0 - 1/105*f**7. Solve a(g) = 0 for g.
-1, 0
Let i(o) be the second derivative of 1/3*o**3 + 0 - 3*o + 0*o**2 - 1/10*o**5 + 1/6*o**4 - 1/15*o**6. Factor i(y).
-2*y*(y - 1)*(y + 1)**2
Suppose -4*h + 12 = -0*h. Suppose 1 = 4*g - 5*g, -12 = -h*x + 3*g. Let -q**5 - 5*q**x - q**4 + 5*q**3 = 0. Calculate q.
-1, 0
Let c = 2 - 0. Factor 5*s - 2*s - 4*s**3 + c*s**2 - 3*s.
-2*s**2*(2*s - 1)
Let t = 7 + -11. Let o be (-21)/(-4) + t/16. Factor b**o - 2*b**2 - b**3 + 2*b**2.
b**3*(b - 1)*(b + 1)
Let j(w) = -2*w - 2. Let f be j(-2). Let n be f/(-4) - 2/(-4). Suppose n + 18*o**2 + 0 - 4*o = 0. Calculate o.
0, 2/9
Suppose h + 3*h + 4 = 0. Let n be h + ((-6)/(-2))/1. Factor 2 + v**2 + 2*v + v**3 - 3*v**3 - 3*v**2 + 0*v**n.
-2*(v - 1)*(v + 1)**2
Let t(z) be the third derivative of -3*z**2 + 0*z + 1/24*z**4 - 1/120*z**5 - 1/80*z**6 + 0*z**3 + 0. Factor t(r).
-r*(r + 1)*(3*r - 2)/2
Suppose -2*y = -5 - 1. Suppose y*d = 26 - 8. Factor -d - 2 + 4*c + 4*c - 2*c**2 + 0.
-2*(c - 2)**2
Let l(g) be the first derivative of 0*g**4 + 0*g + 3/2*g**2 - 1/90*g**5 + 0*g**3 - 1/180*g**6 + 2. Let s(v) be the second derivative of l(v). Factor s(k).
-2*k**2*(k + 1)/3
Let h(c) be the first derivative of -2*c**5/5 + c**4 + 8*c**3/3 - 8*c**2 - 21. Determine x so that h(x) = 0.
-2, 0, 2
Let l(v) = -3 + 3*v + 9*v**2 - 8*v**2 - v**3 - 2*v**3. Let k(t) = -4*t**3 + t**2 + 4*t - 4. Let p(i) = 2*k(i) - 3*l(i). Factor p(w).
(w - 1)**2*(w + 1)
Let c(l) be the first derivative of l**6/780 - l**5/390 + l**2/2 + 3. Let m(k) be the second derivative of c(k). Solve m(n) = 0 for n.
0, 1
Let 0 + 12/5*o**5 - 39/5*o**2 + 72/5*o**3 + 6/5*o - 51/5*o**4 = 0. What is o?
0, 1/4, 1, 2
Let l(j) = -4*j**3 - 4*j**2 + 5*j + 5. Let o(z) = -6*z**3 - 6*z**2 + 8*z + 8. Let u(p) = -8*l(p) + 5*o(p). Suppose u(q) = 0. Calculate q.
-1, 0
Factor 6*t**3 - 36*t + 3/5*t**4 + 39/5*t**2 + 108/5.
3*(t - 1)**2*(t + 6)**2/5
Let j(i) be the third derivative of i**7/5040 + i**6/1440 + i**4/6 - 3*i**2. Let m(s) be the second derivative of j(s). Factor m(c).
c*(c + 1)/2
Let y(s) = 11*s**2 + 5*s - 9. Let f(z) = z**2 + z - 1. Let k(n) = 18*f(n) - 2*y(n). Factor k(p).
-4*p*(p - 2)
Let u be (-2)/4*(-15 - -3). Let y(n) = n**3 - 5*n**2 - 4*n - 7. Let i be y(u). Factor 10*x**3 - x**i - 10*x**3 - x**4.
-x**4*(x + 1)
Let z be (-6)/210*-5*(4 - 2). Let 2/7*k**2 - 2/7*k**3 - 2/7 + z*k = 0. Calculate k.
-1, 1
Let q = -2 - -6. Let k = q + 1. Find w such that 0*w**4 + 6*w**k - 2*w**4 - 3*w**4 + 2*w**4 - 3*w**3 = 0.
-1/2, 0, 1
Let q be (68/(-16) + 3)*4/(-10). Suppose -4 = 3*m - 5*m. Let 0*r + 0*r**m + 0 - 1/2*r**3 - q*r**4 = 0. What is r?
-1, 0
Let v = 9 - 7. Factor -w**4 - w**v - 2*w**3 - 14 + 14.
-w**2*(w + 1)**2
Suppose 0 = -2*b - 3 + 7. Let a(d) be the first derivative of 1 + 1/5*d**3 + 0*d**b - 1/20*d**4 - 4/5*d. Factor a(l).
-(l - 2)**2*(l + 1)/5
Let y = 0 + 3. Let y*g**2 + g**2 + 1 - 5*g**2 + g + 1 = 0. Calculate g.
-1, 2
Let d(j) be the third derivative of j**8/2240 + j**7/210 + j**6/80 + 7*j**4/24 + 2*j**2. Let h(t) be the second derivative of d(t). Factor h(x).
3*x*(x + 1)*(x + 3)
Factor -1/4*o**3 + o + 2 - 1/2*o**2.
-