s - 2)*(s + 1)**2/5
Let x = -9 + 11. What is m in -2*m**3 + 0*m**3 + 0*m**2 + 0*m**2 - 2*m**x = 0?
-1, 0
Let -3/4*x**3 + 3/4*x**4 + 0 + 3/4*x - 3/4*x**2 = 0. What is x?
-1, 0, 1
Let o(l) be the third derivative of l**8/3136 + 3*l**7/980 + l**6/140 - l**5/35 - l**4/8 - 5*l**2. Let b(n) be the second derivative of o(n). Factor b(p).
3*(p + 2)**2*(5*p - 2)/7
Let i(a) = a - 1. Let t be i(3). Let h be ((-6)/12)/(t/(-16)). Factor -2*b + 2*b**2 - h + 3*b + b + 0*b**2.
2*(b - 1)*(b + 2)
Factor 12/7*y**2 + 8/7 - 2/7*y**3 - 18/7*y.
-2*(y - 4)*(y - 1)**2/7
Let s = 885/4 - 221. Factor 0 + 1/4*r + 0*r**2 - s*r**3.
-r*(r - 1)*(r + 1)/4
Let a = 232 + -232. Factor 2/13*o + a + 2/13*o**2.
2*o*(o + 1)/13
Let v(z) be the first derivative of -2*z**6/3 - 16*z**5/5 - 3*z**4 + 16*z**3/3 + 8*z**2 + 5. Let v(b) = 0. What is b?
-2, -1, 0, 1
Suppose 10*w - 5*w = 0. Determine l so that 0*l**4 + 2/7*l**5 + 0 + 0*l**2 - 2/7*l**3 + w*l = 0.
-1, 0, 1
Let r(j) be the third derivative of 1/21*j**3 - 1/105*j**5 + 2/105*j**6 - 1/294*j**8 + 1/735*j**7 - 1/21*j**4 + 0 + 0*j + 6*j**2. Solve r(y) = 0 for y.
-1, 1/4, 1
Let y = -28 - -32. Suppose 2*x + 3*x = -4*g + 8, 4*x = y*g - 8. Factor 1/4 + 0*z - 1/4*z**g.
-(z - 1)*(z + 1)/4
What is r in -4*r**4 - 10*r**2 - r - r**3 + r**5 + r + 14*r**2 = 0?
-1, 0, 1, 4
What is r in -1/4*r**5 + 9/4*r**3 + 0 + 5/4*r**2 + 0*r + 3/4*r**4 = 0?
-1, 0, 5
Let u(b) = -24*b**3 - 93*b**2 - 84*b - 15. Let i(n) = 6*n**3 + 23*n**2 + 21*n + 4. Let d(t) = 9*i(t) + 2*u(t). Factor d(m).
3*(m + 1)*(m + 2)*(2*m + 1)
Let m(k) be the third derivative of k**8/1680 - k**7/280 + k**6/180 + 2*k**3/3 + 2*k**2. Let a(t) be the first derivative of m(t). Factor a(h).
h**2*(h - 2)*(h - 1)
Let o(s) be the second derivative of s**6/6 - s**5/2 + 8*s. Find q such that o(q) = 0.
0, 2
Let n be (9/(-3) - -1) + 5. Let c(d) be the first derivative of -d**6 + 4*d**5 - d**4 - 2*d**5 - n + 2. Solve c(t) = 0.
0, 2/3, 1
Let a = -11 + 30. Suppose -z = 4*l - 2*z - a, 0 = -3*l - 4*z + 38. Factor 3*x**4 - x**5 + 2*x**5 + l*x**3 - 7*x**4 + x - 4*x**2.
x*(x - 1)**4
Suppose 0 = -0*v + v - 2. Let o(l) be the third derivative of -1/12*l**4 + 0*l + 1/60*l**6 - l**v + 0 + 1/60*l**5 - 1/6*l**3. Factor o(y).
(y - 1)*(y + 1)*(2*y + 1)
Factor 16 - 3*r + 9*r**2 - 11*r**3 - 21*r + 10*r**3.
-(r - 4)**2*(r - 1)
Let v be 12/30 + 54/15. Let 3*j**v - 4*j**2 - 27*j**3 - 4*j + 31*j**3 + j**4 = 0. What is j?
-1, 0, 1
Let k(y) be the third derivative of -y**7/70 + y**6/5 - 6*y**5/5 + 4*y**4 - 8*y**3 - 9*y**2. Factor k(w).
-3*(w - 2)**4
Factor -2*k - 8*k + 3 + 12*k**2 - 31*k**3 + k**4 + 25*k**3.
(k - 3)*(k - 1)**3
Let j(m) be the third derivative of 1/180*m**5 + 0*m**3 - 1/36*m**4 + 3*m**2 + 0*m + 0. Factor j(r).
r*(r - 2)/3
Let f(r) be the second derivative of -r**8/168 + 3*r**7/140 - r**6/40 + r**5/120 + r**2 - r. Let a(k) be the first derivative of f(k). Factor a(l).
-l**2*(l - 1)**2*(4*l - 1)/2
Suppose 0 = 2*r - 10 + 6. Find t, given that -9/2*t**3 + 0 + 9/2*t**4 + 3/2*t**r - 3/2*t**5 + 0*t = 0.
0, 1
Let p = 4/181 - -342/905. Determine n so that p*n**2 + 0 + 4/5*n = 0.
-2, 0
Let n be 19/((-171)/(-72)) + -8. Factor -4/3*g**3 + 2/3*g**5 + n*g + 0*g**2 + 0 + 2/3*g**4.
2*g**3*(g - 1)*(g + 2)/3
Let j(l) be the first derivative of -2 + 1/4*l**4 + 1/6*l**6 + 2/5*l**5 + 0*l**2 + 0*l + 0*l**3. Suppose j(k) = 0. Calculate k.
-1, 0
Let f(s) be the third derivative of s**7/455 + s**6/390 - 11*s**2. Suppose f(a) = 0. Calculate a.
-2/3, 0
Let u(d) be the second derivative of d**5/110 - 2*d**4/33 + 5*d**3/33 - 2*d**2/11 + 8*d. Factor u(j).
2*(j - 2)*(j - 1)**2/11
Let s = 33 - 28. Let m(i) be the second derivative of 1/3*i**3 + 0 - i**2 - 1/10*i**s - 3*i + 1/6*i**4. Suppose m(w) = 0. What is w?
-1, 1
Let b(x) = -15*x**2 - 36*x + 12. Let j(z) = -z**2. Let i(d) = -b(d) - 6*j(d). Factor i(y).
3*(y + 2)*(7*y - 2)
Let r(j) = -j**2 + 20*j + 44. Let g be r(-2). Factor 42/11*n**3 - 2*n**2 + 10/11*n**5 + g + 4/11*n - 34/11*n**4.
2*n*(n - 1)**3*(5*n - 2)/11
Let q(l) = l**5 + l**4 - l**3 - l. Let t(i) = 6*i**5 - 14*i**4 + 6*i**3 + 2*i. Let v(f) = -2*q(f) - t(f). Let v(b) = 0. What is b?
0, 1/2, 1
Let r = 14 + -9. Let t = r + -2. Suppose l**3 - l - 3*l**2 + 4*l + 0*l**3 - 4*l**3 + t*l**4 = 0. What is l?
-1, 0, 1
Suppose -17*i - 27 = -20*i. Let j be (-6)/i + (-40)/(-15). Factor -2 + 3/2*n**2 + j*n**4 + 13/2*n**3 - 8*n.
(n - 1)*(n + 2)**2*(4*n + 1)/2
Let y(s) = -s**2 - 1. Let t = 12 + 8. Suppose -t = -5*f + 50. Let c(k) = -12*k**2 + 3*k - 5. Let w(d) = f*y(d) - 2*c(d). Factor w(a).
2*(a - 1)*(5*a + 2)
Let x(i) = -i**2 - 23*i - 40. Let w be x(-21). Factor 3/4 + 1/2*s - 1/4*s**w.
-(s - 3)*(s + 1)/4
Let h be -2*((-3)/(-3))/1*-2. Let i(p) be the third derivative of p**2 + 0*p + 0 + 1/12*p**5 + 1/3*p**3 + 7/24*p**h. Factor i(k).
(k + 1)*(5*k + 2)
Let l = 189 + -1699/9. Factor 2/9*d**2 - 4/9*d + l.
2*(d - 1)**2/9
Let u be ((-8)/6)/(4/(-6)). Solve -g**4 + 4*g**4 - 4*g**4 + g**u = 0.
-1, 0, 1
Let j(r) be the second derivative of r**4/48 + 9*r. Let j(n) = 0. Calculate n.
0
Let s = -4019/6 - -670. Factor 2/3 + 0*a - 1/2*a**2 - s*a**3.
-(a - 1)*(a + 2)**2/6
Let k(c) be the second derivative of -2/21*c**4 - 3/35*c**5 - 1/147*c**7 - 7*c + 0*c**2 - 4/105*c**6 + 0 - 1/21*c**3. Find p such that k(p) = 0.
-1, 0
Let v = -4 - -4. Suppose v = 2*t + t. Factor 2*g**3 - g**2 + t*g**4 + g**4 + 2*g**2.
g**2*(g + 1)**2
Let x = 24337/1404 - 1/1404. Let z = x + -358/21. Factor -2/7*g - z*g**2 + 0.
-2*g*(g + 1)/7
Let s = 3 - 6. Let m be s/6 - (-7)/2. Suppose -3*f**4 + 21*f**3 + 3*f**2 - 3*f**m + 30*f**4 = 0. What is f?
-1/3, 0
Let q(b) = -7*b + 1. Let z be q(-1). Suppose z = 4*r + 3*h, 3*r + 5*h - 6 = -0. Solve 2*w + 3*w**r + w**2 - 3*w**2 = 0.
-2, 0
Let f be (-2)/(-2) + -2 - -8. Suppose -5 = -5*b - 9*o + 4*o, 3*o + f = -b. Suppose 2*c**5 - 4*c**5 - c**3 + 3*c**b = 0. What is c?
-1, 0, 1
Let j(r) = -r**5 + 15*r**4 - 13*r**2 - 3*r + 3. Let h(q) = 2*q**5 - 46*q**4 + 38*q**2 + 10*q - 10. Let a(w) = -3*h(w) - 10*j(w). Factor a(s).
4*s**2*(s - 2)**2*(s + 1)
Suppose -5 + 23 = 3*a. Suppose 0 = 5*h + x - 11, -3*x = -3*h - a*x + 9. Find w, given that 2/5 + 6/5*w**h + 6/5*w + 2/5*w**3 = 0.
-1
Let u be ((-10)/4 - -1)*(116 - 118). Factor 2*f**2 - 10/7*f**u - 8/7 + 16/7*f.
-2*(f - 2)*(f + 1)*(5*f - 2)/7
Let k(q) be the first derivative of 1/9*q**3 + 0*q**2 + 0*q - 4. Solve k(u) = 0.
0
Suppose -4*n = 4, -i - 2*n + 15 = 1. Let q(l) = -l + 19. Let c be q(i). Solve -2/9 + 2/9*g**2 - 2/9*g + 2/9*g**c = 0.
-1, 1
Let s(x) = x**3 + x - 1. Let v be s(1). Let o be (2 + 0 + 2)*v. Factor 0 - 2/7*i**o - 4/7*i**3 + 0*i - 2/7*i**2.
-2*i**2*(i + 1)**2/7
Let p(j) be the third derivative of j**5/240 + j**4/32 + 12*j**2. Factor p(l).
l*(l + 3)/4
Let q(c) = 6*c**3 + 3 - 12*c - 7*c**2 - 3*c + 7*c**2. Let s(t) = t**4 - 13*t**3 + 29*t - 5. Let d(g) = 5*q(g) + 3*s(g). Factor d(n).
3*n*(n - 2)**2*(n + 1)
Let q(t) = -t. Let f be q(-2). Let 4*m + 0*m**2 + 18 - 12 - 2*m**f = 0. Calculate m.
-1, 3
Let u be 4/(-2)*(-5 - -4). Factor u*l - 14*l - 2*l**2 + 5*l + l.
-2*l*(l + 3)
Let h(v) be the third derivative of 0*v**3 + 0 - 4*v**2 + 1/12*v**4 - 1/30*v**5 + 0*v. Let h(z) = 0. What is z?
0, 1
Let 3/2*p**2 - 7/6*p + 1/3 - 5/6*p**3 + 1/6*p**4 = 0. Calculate p.
1, 2
Let k(g) be the third derivative of -1/525*g**7 + 0 + 1/30*g**5 - 1/300*g**6 - 1/20*g**4 + 0*g + 4*g**2 + 0*g**3. Factor k(v).
-2*v*(v - 1)**2*(v + 3)/5
Let k(h) be the first derivative of 5*h**3/3 - 2*h**2 - 4*h - 2. Let d(u) = -9*u**2 + 8*u + 8. Let c(t) = -6*d(t) - 11*k(t). Factor c(i).
-(i + 2)**2
Let w(u) be the second derivative of 1/84*u**4 + 1/210*u**5 + 0 - 1/2*u**2 + 0*u**3 - u. Let o(d) be the first derivative of w(d). Factor o(c).
2*c*(c + 1)/7
Let g(k) be the first derivative of k**5/5 + k**4/2 - k**3/3 - k**2 + 6. Find h such that g(h) = 0.
-2, -1, 0, 1
Let n(o) be the third derivative of 1/80*o**6 + 0*o - 1/280*o**7 - 1/32*o**4 - o**2 - 1/8*o**3 + 0 + 1/40*o**5 - 1/448*o**8. Factor n(z).
-3*(z - 1)**2*(z + 1)**3/4
Suppose 5*z + 16 - 56 = 0. Factor 18*p**4 + 10*p**3 - 7*p**2 + 11*p**2 + z*p**3.
2*p**2*(3*p + 1)*(3*p + 2)
Let b(v) be the first derivative of v**6/3 + 6*v**5/5 + 3*v**4/2 + 2*v**3/3 - 11. Factor b(t).
2*t**2*(t + 1)**3
Let x = 7 - 5. Let s = x + -1. Find h, given that s + 2*h**2 - 5 - 2*h + 4*h = 0.
-2, 1
Let d = 6 + -4. Let