 0?
-2, -1, 0
Let i(z) be the first derivative of -z**4/36 - z**3/3 - 3*z**2/2 - 3*z + 31. Solve i(v) = 0 for v.
-3
Let v be (-12)/8*(8 - 0). Let u be (v/45)/((-2)/10). Find l such that -1/3*l - 4/3*l**4 - 1/3*l**5 - 2*l**3 - u*l**2 + 0 = 0.
-1, 0
Suppose -4*v + 5 + 3 = 0. Let i be 2*(-1)/v*-2. Suppose -8/3*n**i + 2/3*n**3 - 4/3 + 10/3*n = 0. What is n?
1, 2
Let b be (-2 - 7/(-3))*12. Factor 0*c**5 + 28*c**b - 25*c**4 - c**5 - 3*c**3 + c**2.
-c**2*(c - 1)**3
Let u be ((-204)/2550)/((-2)/5). Let 0 - u*d**5 + 6/5*d**4 + 0*d + 8/5*d**2 - 12/5*d**3 = 0. What is d?
0, 2
Let d = 3 - 1. Let t(p) be the third derivative of 0*p + 0*p**3 - d*p**2 + 1/480*p**6 + 0*p**5 - 1/96*p**4 + 0. Suppose t(k) = 0. Calculate k.
-1, 0, 1
Let d(h) be the first derivative of 1 - 3/5*h**2 + 2/15*h**3 + 4/5*h. Factor d(v).
2*(v - 2)*(v - 1)/5
Let t(v) be the first derivative of 4/3*v**2 + 2 + 7/60*v**5 + 1/2*v**4 + 1/90*v**6 + v + 10/9*v**3. Let g(l) be the first derivative of t(l). Solve g(p) = 0.
-2, -1
Suppose 0 = -0*r - r. Let t = r + 4. Find b, given that 2*b + 3*b**2 - 2*b**2 + t*b - 3*b + 2 = 0.
-2, -1
Let h(t) be the third derivative of -t**5/105 - t**4/21 + 2*t**3/7 + 2*t**2. Suppose h(x) = 0. What is x?
-3, 1
Let b = -66 - -138. Let h be (-3)/((b/(-20))/6). Find y such that -3/2*y**2 - h*y**3 + 1/2 + 4*y**4 + 2*y = 0.
-1/2, -1/4, 1
Let h(g) be the first derivative of g**6/2 - 3*g**5/5 - 9*g**4/4 + g**3 + 3*g**2 + 2. Find r such that h(r) = 0.
-1, 0, 1, 2
Let d(b) = -b + 16. Let x be d(12). Let u be ((-2)/3)/((-2)/x). Factor 10/3*s**2 + 0 - 8/3*s**3 + 2/3*s**4 - u*s.
2*s*(s - 2)*(s - 1)**2/3
Suppose 5*s = 4*s - 252. Let b be (-920)/s + 2/(-9). Factor 8/7 + 18/7*g**2 + b*g.
2*(3*g + 2)**2/7
Suppose -33*o - 28*o + 12*o**2 + 3*o**3 - 12 + 58*o = 0. Calculate o.
-4, -1, 1
Let d = 6 - 11. Let f be -1 - d - (3 + -2). Let 2*i**2 - 2*i - f*i**2 + i = 0. What is i?
-1, 0
Let h(m) be the first derivative of 1/16*m**4 + 0*m - 6 - 1/4*m**2 + 1/12*m**3. Suppose h(q) = 0. Calculate q.
-2, 0, 1
Suppose 199*t = 197*t + 6. Factor 1/2*z**2 + 1/4 + 3/4*z - 3/4*z**4 - 1/4*z**5 - 1/2*z**t.
-(z - 1)*(z + 1)**4/4
Suppose -2*f + 5 = -f. Suppose 2*d - 6*d + 28 = -4*t, 0 = -4*d + 3*t + 24. Factor 5*g**3 - 10*g**f - 4*g**d + 7*g**4 + 7*g**4 - 5*g**3.
-2*g**3*(g - 1)*(5*g - 2)
Let k(g) be the first derivative of 2*g**3/3 - g**2 + 9. Factor k(h).
2*h*(h - 1)
Let b(i) be the third derivative of -1/13*i**4 + 10*i**2 - 1/780*i**6 + 0*i - 8/39*i**3 + 0 - 1/65*i**5. Factor b(j).
-2*(j + 2)**3/13
Let o(g) be the first derivative of -g**6/15 + g**4/10 + 13. Factor o(y).
-2*y**3*(y - 1)*(y + 1)/5
Let q(z) be the third derivative of 0*z**3 + 0*z**5 + 1/60*z**4 - 1/150*z**6 + 1/840*z**8 - 2*z**2 + 0*z + 0*z**7 + 0. Factor q(l).
2*l*(l - 1)**2*(l + 1)**2/5
Let p be 204/24 + -4*(3 - 2). Determine h so that 15/2*h**2 + p - 21/2*h - 3/2*h**3 = 0.
1, 3
Let x(k) be the first derivative of -4*k**5/25 + 3*k**4/10 - 2*k**3/15 + 5. Factor x(v).
-2*v**2*(v - 1)*(2*v - 1)/5
Let g = 2/389 - -383/1167. Determine f, given that 4/3*f**2 - 1/3*f - 2*f**3 + 0 - g*f**5 + 4/3*f**4 = 0.
0, 1
Suppose -2*j + 90 = 4*j. Let a be (-4)/10 - (-16)/j. Factor -2*c + 4/3 + a*c**2.
2*(c - 2)*(c - 1)/3
Let w be 8/(12 - 4)*(-2)/(-6). Factor -u**2 + w*u + 0.
-u*(3*u - 1)/3
Let v = -104 - -522/5. Let k be 0*(4 + -2)/4. Factor 0 + k*t - v*t**2.
-2*t**2/5
Let n = 1 - -1. Factor 8*q**2 - 2 - 8*q**3 + 8*q**2 - n*q**2 - 4*q.
-2*(q - 1)**2*(4*q + 1)
Let i(q) be the third derivative of 7/40*q**6 + 4*q**2 + 0*q**3 - 1/4*q**4 + 0 + 0*q + 1/4*q**5. Solve i(p) = 0.
-1, 0, 2/7
Let j be (-44)/(-12) + -1 + (-2)/(-6). Factor j + 3/4*r**2 + 3*r.
3*(r + 2)**2/4
Let i be (-15)/(-90) + 55/(-312). Let l = 201/728 - i. Determine z so that 4/7 - l*z**2 + 2/7*z = 0.
-1, 2
Let a(w) be the third derivative of -w**8/2016 - w**7/210 - w**6/80 - w**5/90 + 8*w**2. Factor a(s).
-s**2*(s + 1)**2*(s + 4)/6
Let s = 32 + -30. Let 1/2*t**4 - 2*t**3 + 1/2 + 3*t**2 - s*t = 0. What is t?
1
Factor 7/3*j**4 + 23*j - 11*j**3 + 6 + 11/3*j**2.
(j - 3)**2*(j + 1)*(7*j + 2)/3
Let g be 0 - ((-70)/15)/7. Let m(r) be the first derivative of -g*r**3 + r**2 + 2 - 1/2*r**4 + 2*r. Find d, given that m(d) = 0.
-1, 1
Let o(s) = s**3 + 6*s**2 - 8*s + 1. Let k(u) = u**3 + 5*u**2 - 7*u + 1. Let c(h) = -7*k(h) + 6*o(h). Factor c(y).
-(y - 1)**2*(y + 1)
Factor 3*m**2 - 5*m**2 - 15*m + 7*m**2.
5*m*(m - 3)
Factor 4*r**2 - 8*r + 0*r**2 - 6*r**2 - 8.
-2*(r + 2)**2
Let f be ((-126)/(-60) - 2)*18. What is k in 3/5*k**2 + 6/5 + f*k = 0?
-2, -1
Let d(x) be the third derivative of x**5/150 + x**4/15 + 4*x**3/15 + 16*x**2. Determine m, given that d(m) = 0.
-2
Let b(g) be the third derivative of 0 + 0*g**3 + 0*g - 2*g**2 + 0*g**4 - 1/120*g**5 + 1/480*g**6. Factor b(q).
q**2*(q - 2)/4
Determine m so that -9/7*m**2 + 3/7*m + 9/7 - 3/7*m**3 = 0.
-3, -1, 1
Suppose 2 + 8 = 5*m. Factor 3*t**m - 4*t**2 + 3*t**2.
2*t**2
Let y(h) be the third derivative of h**5/60 + h**4/4 - 7*h**3/6 - 3*h**2. Determine v, given that y(v) = 0.
-7, 1
Let y(t) = -42*t - 35*t + 53 + 46*t**2 - t**3 - 15*t**2. Let i(k) = -15*k**2 + 39*k - 27. Let w(m) = -5*i(m) - 3*y(m). Let w(h) = 0. Calculate h.
2
Let w be 1 + 1 - (56/20)/(-7). Solve w*r + 12/5 + 3/5*r**2 = 0 for r.
-2
Let w(n) = -n**5 - n**4 + n**3 - n**2. Let o(q) = 521*q**5 - 274*q**4 - 32*q**3 + 20*q**2. Let c(y) = o(y) - 4*w(y). Factor c(x).
3*x**2*(5*x - 2)**2*(7*x + 2)
Suppose -4*g - 6 + 18 = 0. Factor 0 + v**2 + 3 - g - 2*v.
v*(v - 2)
Let h(p) = -p**3 + 5*p**2 + 7*p - 5. Let s be h(6). Factor -g**2 + 2 - 1 - g**3 - s.
-g**2*(g + 1)
Solve 6*n**3 - 20*n**2 + 0*n**2 - 2*n**3 = 0.
0, 5
Let m(u) be the third derivative of u**5/60 - u**4/24 + u**2. Let s(z) = -3*z**2 + 2*z**2 - 1 + z + 0*z. Let a(i) = -3*m(i) - 2*s(i). Let a(h) = 0. What is h?
-1, 2
Suppose 4*o = -o + 25. Factor 3*x + 3*x**o - x**3 - 3*x**3 - 2*x**3.
3*x*(x - 1)**2*(x + 1)**2
Let y(o) be the first derivative of -o**6/33 + 2*o**5/55 + o**4/22 - 2*o**3/33 - 1. Find k, given that y(k) = 0.
-1, 0, 1
Suppose -4*v - 10 = -9*v. Factor -2/3*q**v + 4/3 - 2/3*q.
-2*(q - 1)*(q + 2)/3
Let l(a) be the first derivative of -7*a**3 - 15*a**2/2 + 6*a - 34. Factor l(v).
-3*(v + 1)*(7*v - 2)
Let u(t) be the third derivative of t**9/3024 + t**8/840 + t**7/840 + t**3/2 - 2*t**2. Let g(r) be the first derivative of u(r). Find n such that g(n) = 0.
-1, 0
Let g(n) be the third derivative of -n**2 + 1/360*n**6 + 1/90*n**5 + 0 + 0*n + 0*n**3 + 1/72*n**4. Factor g(t).
t*(t + 1)**2/3
Let s(w) be the first derivative of 0*w + 4/9*w**3 + 1/6*w**4 + 1 + 1/3*w**2. Determine a so that s(a) = 0.
-1, 0
Let o = -1771537/175692 - 2/14641. Let u = -39/4 - o. Determine f, given that u + 0*f + 0*f**3 + 1/3*f**4 - 2/3*f**2 = 0.
-1, 1
Factor -91*a**2 + 88*a**2 + 0 + 0 - 15*a.
-3*a*(a + 5)
Factor -2/19*k**2 - 6/19*k - 4/19.
-2*(k + 1)*(k + 2)/19
Let s(u) = 47*u**2 - 43*u + 5. Let f(a) = 13*a**2 - 27*a - 20*a**2 - 11 + 112*a - 88*a**2. Let k(q) = -3*f(q) - 5*s(q). Factor k(p).
2*(5*p - 2)**2
Let w(i) be the third derivative of -5*i**8/1848 + 4*i**7/385 + i**6/660 - 2*i**5/55 + i**4/33 + i**2 - 3*i. Determine d, given that w(d) = 0.
-1, 0, 2/5, 1, 2
Let h be 4/18 + 102/27. Let p(j) be the second derivative of 1/15*j**6 - j - 1/40*j**5 + 0*j**2 + 0 + 1/12*j**3 - 1/6*j**h. Factor p(m).
m*(m - 1)*(m + 1)*(4*m - 1)/2
Determine t so that 5*t**5 + 13*t**3 - t**5 - 9*t**3 + 8*t**4 = 0.
-1, 0
Suppose -2*f - 12 = -5*f. Factor q - 24*q**2 - 4*q**f + 3*q**4 + 3*q**3 + 21*q**2.
-q*(q - 1)**3
Let r = -447 - -449. Factor 0 + 1/4*t + 1/4*t**r.
t*(t + 1)/4
Let r(z) be the first derivative of 5*z**4/4 + 10*z**3/3 - 35*z**2/2 + 20*z + 56. Factor r(q).
5*(q - 1)**2*(q + 4)
Let x(j) be the second derivative of 0*j**4 - 1/5*j**5 - j + 1/15*j**6 - j**2 + 2/3*j**3 + 0. Determine q, given that x(q) = 0.
-1, 1
Let w(o) = 25*o**4 - 23*o**3 + 8*o**2 + 5*o. Let v(d) = -12*d**4 + 12*d**3 - 4*d**2 - 2*d. Let q(s) = 5*v(s) + 2*w(s). Determine c, given that q(c) = 0.
0, 2/5, 1
Let v be 3/9*(-18)/(-1). Let q(c) be the third derivative of 0 + 0*c**3 + 1/240*c**v - c**2 + 0*c + 1/48*c**4 + 1/60*c**5. Factor q(w).
w*(w + 1)**2/2
Let o(z) be the second derivative of -6*z - 2/21*z**7 + 2/3*z**3 + 0*z**5 + 0*z**2 - 4/15*z**6 + 0 + 2/3*z**4. Factor o(v).
-4*v*(v - 1)*(v + 1)**3
Let g(k) = -16