0. What is p?
0, 1
Solve 1/2*u + 1/2*u**5 + u**2 - 1/2 - 1/2*u**4 - u**3 = 0 for u.
-1, 1
Let f(q) be the first derivative of -5*q**3/9 + 5*q**2/3 - 15. Factor f(m).
-5*m*(m - 2)/3
Let g(w) = -w**3 + 4*w**2 + 1. Let y be g(4). Suppose -c = -4*m + 18, c + y = -2*m + 13. Factor 2*r**4 - r**2 - 5*r**4 - r**m - 3*r**3 + 0*r**5.
-r**2*(r + 1)**3
Suppose 48/5*v**2 + 8/5 - 36/5*v - 16/5*v**3 = 0. Calculate v.
1/2, 2
Let 9*d**4 - 9*d + 9*d + 3*d**2 - 3*d**5 - 9*d**3 = 0. Calculate d.
0, 1
Factor 3/7*y**2 + 2/7*y**3 - 1/7*y**4 + 0 + 0*y.
-y**2*(y - 3)*(y + 1)/7
Suppose -1/6*v**3 + 0*v - 1/6*v**2 + 0 = 0. Calculate v.
-1, 0
Let h(s) be the second derivative of s**3/6 + 5*s**2/2 - 2*s. Let o be h(-5). Suppose o + 8/11*l**2 - 8/11*l**4 + 2/11*l**3 - 2/11*l = 0. Calculate l.
-1, 0, 1/4, 1
Let 2048/3*o**3 - 4/3 - 256*o**2 + 32*o = 0. What is o?
1/8
Let c(h) be the third derivative of h**6/144 - h**5/36 - 5*h**4/36 + 10*h**3/9 + 20*h**2 - 2*h. Factor c(z).
5*(z - 2)**2*(z + 2)/6
Let r(l) be the third derivative of -l**10/453600 + l**8/60480 + l**5/60 + 2*l**2. Let f(z) be the third derivative of r(z). Factor f(q).
-q**2*(q - 1)*(q + 1)/3
Let l(r) = -24*r**3 - 141*r**2 - 141*r - 27. Let m(y) = -y**3 + y + 1. Let c(q) = -l(q) - 3*m(q). Factor c(j).
3*(j + 1)*(j + 4)*(9*j + 2)
Let o(g) be the third derivative of -1/390*g**5 + 0*g**4 + 0*g**3 - 1/780*g**6 + 1/2184*g**8 + 0*g + 1/1365*g**7 + 0 + g**2. Factor o(i).
2*i**2*(i - 1)*(i + 1)**2/13
Suppose 3*z = 5*m - 16, 0*z = z + 2. Suppose 0 = -5*b + 2*p + 10, m*b - p = 2 + 2. Determine h so that -4*h + 1 + 3 - 2 + 0*h + b*h**2 = 0.
1
Let y(n) = -28*n**2 + 8*n + 4. Let j(x) = -84*x**2 + 24*x + 11. Let w(t) = 4*j(t) - 11*y(t). Factor w(p).
-4*p*(7*p - 2)
Let m(z) be the first derivative of -z**7/70 + 2*z**6/75 + z**5/100 - z**4/30 - 4*z - 1. Let i(x) be the first derivative of m(x). Solve i(g) = 0.
-2/3, 0, 1
Let s = 61/5 + -12. Factor -s*z**2 + 0*z + 0.
-z**2/5
Let p be (-2)/(20/6) - 435/(-225). Factor -44/3*q**3 + 12*q**4 + 2*q + 16/3*q**2 - p - 10/3*q**5.
-2*(q - 1)**4*(5*q + 2)/3
Let f(n) be the first derivative of n**4/2 - 16*n**3/3 + 16*n**2 + 3. Factor f(d).
2*d*(d - 4)**2
Let k(g) be the first derivative of -g + 0*g**5 - 1/90*g**6 + 0*g**2 + 0*g**3 + 1/36*g**4 - 1. Let q(u) be the first derivative of k(u). Factor q(a).
-a**2*(a - 1)*(a + 1)/3
Let m be 70/(-90)*12/(-14). Factor 0 + 2/3*q**3 - 2/3*q**4 + 0*q + 2/3*q**2 - m*q**5.
-2*q**2*(q - 1)*(q + 1)**2/3
Let k(m) = m**2 + 1. Let i(v) = -v**3 + 6*v**2 - 7*v + 7. Let w be i(5). Let d(f) = 3*f**2 + 16*f. Let y(t) = w*d(t) - 12*k(t). Factor y(u).
-3*(u + 2)*(7*u + 2)
Suppose 11*v**3 - 9*v**3 - 8 + 6*v**2 - 7*v + 7*v = 0. What is v?
-2, 1
Solve i**3 - 2*i**2 - 2*i**3 + 0*i**2 - i**2 - 2*i = 0.
-2, -1, 0
Let u(f) be the first derivative of -f**6/12 + 3*f**5/10 - f**4/4 - f**3/3 + 3*f**2/4 - f/2 + 5. Let u(p) = 0. Calculate p.
-1, 1
Let y = -8 - -11. Let p be (-1)/y + 7/21. Factor 2/3*n**5 - 2/3*n**2 + 0*n + 2/3*n**4 - 2/3*n**3 + p.
2*n**2*(n - 1)*(n + 1)**2/3
Let s(a) be the third derivative of a**8/672 + a**7/105 + a**6/48 + a**5/60 - 21*a**2. Factor s(c).
c**2*(c + 1)**2*(c + 2)/2
Suppose 4*u + 24 = 7*u. Factor 1/2*w - 4*w**2 + 0 - 16*w**4 + u*w**5 + 12*w**3.
w*(2*w - 1)**4/2
Let d(w) be the second derivative of 5*w**7/168 + w**6/24 - 3*w**5/16 - 25*w**4/48 - 5*w**3/12 + 7*w. Factor d(r).
5*r*(r - 2)*(r + 1)**3/4
Let f = 97603/1057 - 57/1057. Let h = f + -92. Find p such that -h*p**2 + 4/7 - 2/7*p = 0.
-2, 1
Let w = 45 - 14. Factor -15*f**4 + 0*f**2 + 21*f**3 - 6*f**2 - 31*f + w*f.
-3*f**2*(f - 1)*(5*f - 2)
Let a be (0 + 1)*(9 - 8). Suppose a + 1/2*g**4 - 3/2*g**2 + 1/2*g**3 - 1/2*g = 0. What is g?
-2, -1, 1
Let f(u) = 2*u**4 + 8*u**3 - 40*u**2 - 63*u + 3. Let c(y) = -7*y**4 - 23*y**3 + 120*y**2 + 188*y - 8. Let m(p) = -3*c(p) - 8*f(p). Factor m(n).
5*n*(n - 3)*(n + 2)**2
Let r = 51 + -253/5. Determine i, given that 0*i**3 + 0*i + r*i**4 - 2/5*i**2 + 0 = 0.
-1, 0, 1
Suppose 5*o + 2*i = 168, 7 = -2*o + i + 67. Factor 134*n**2 + 186*n**4 + 54*n**5 + 8/3 + 710/3*n**3 + o*n.
2*(n + 1)**3*(9*n + 2)**2/3
Suppose -5*i - h = 15, -2*i = -0*h + 3*h + 19. Let l be (-12)/(-105) - i/7. Suppose 4/5*w + 2/5*w**2 + l = 0. What is w?
-1
Suppose 2/5*m**4 - 2/5*m**2 + 0*m + 0 - 1/5*m**5 + 1/5*m**3 = 0. Calculate m.
-1, 0, 1, 2
Let q be -1 + (-5)/((-440)/92). Let w(s) be the second derivative of 0*s**2 + 2/33*s**4 - q*s**5 - s + 2/165*s**6 - 1/33*s**3 + 0. Factor w(l).
2*l*(l - 1)**2*(2*l - 1)/11
Let i(z) be the first derivative of z**3/5 + 3*z**2/10 + 11. Suppose i(w) = 0. What is w?
-1, 0
Factor -2*y**2 - 7/2*y + 1.
-(y + 2)*(4*y - 1)/2
Let x(g) = 3*g**3 + 5*g**2 + 2. Let h(r) = r**3 + r**2 - r + 1. Let i(j) = -2*h(j) + x(j). Let i(u) = 0. What is u?
-2, -1, 0
Let o(c) be the second derivative of c**6/10 + 3*c**5/5 + 3*c**4/4 - 2*c**3 - 6*c**2 - 4*c. Solve o(k) = 0 for k.
-2, -1, 1
Let m = 7381/36 + -205. Let t(i) be the third derivative of 1/20*i**5 - m*i**4 + 0*i - 2*i**2 + 0 + 0*i**3. Determine g so that t(g) = 0.
0, 2/9
Let d(b) be the third derivative of 0*b**5 + 0*b**3 + 0 + 1/360*b**6 + 3*b**2 + 0*b - 1/72*b**4. Let d(a) = 0. Calculate a.
-1, 0, 1
Let p(q) be the second derivative of q**6/30 - q**5/10 + q**4/12 + 5*q. Factor p(w).
w**2*(w - 1)**2
Suppose -5*k = 4*w - 38, -5*k + 7 = -3. Suppose 4 - w = -s. Factor -2/3*u**4 - 2*u**s - 2/3*u - 2*u**2 + 0.
-2*u*(u + 1)**3/3
Let o(d) be the third derivative of d**7/210 - d**6/30 + d**5/10 - d**4/6 + d**3/6 - 3*d**2. Factor o(z).
(z - 1)**4
Let f be (378/(-120))/(-1) - (3 + 0). Let j(m) be the third derivative of 0*m**4 + 0 + 0*m**3 + f*m**6 - 1/15*m**7 + 0*m - m**2 - 1/15*m**5. Factor j(g).
-2*g**2*(g - 1)*(7*g - 2)
Let w(j) be the first derivative of j**2/2 + 3*j + 1. Let h be w(-3). Solve -2/3*b + h + b**2 = 0 for b.
0, 2/3
Let a(z) be the third derivative of -z**6/840 - z**5/420 + z**4/84 + 6*z**2. Find u such that a(u) = 0.
-2, 0, 1
Let o(a) be the second derivative of -4*a**6/45 - 11*a**5/30 - 5*a**4/18 + 2*a**3/9 - a. Solve o(w) = 0 for w.
-2, -1, 0, 1/4
Let h(f) be the second derivative of 8*f**6/15 - 13*f**5/5 + 5*f**4 - 14*f**3/3 + 2*f**2 - 3*f. Factor h(t).
4*(t - 1)**3*(4*t - 1)
Let f = -11589/490 - -5/98. Let w = f + 24. Find y such that w*y**3 + 1/5*y**4 + 0*y**2 - 1/5 - 2/5*y = 0.
-1, 1
Let r(o) = 23*o**4 + 17*o**3 - 24*o**2 - 17*o. Let l(b) = 8*b**4 + 6*b**3 - 8*b**2 - 6*b. Let y(g) = 17*l(g) - 6*r(g). Factor y(x).
-2*x**2*(x - 2)*(x + 2)
Solve 2*p**3 - 9*p**2 - 5*p**4 - 2*p**2 + 16*p**2 - 2*p = 0 for p.
-1, 0, 2/5, 1
Let p(a) be the second derivative of -1/60*a**6 - 1/84*a**7 + 5*a + 1/40*a**5 + 1/24*a**4 + 0 + 0*a**2 + 0*a**3. Solve p(h) = 0.
-1, 0, 1
Let q(r) be the third derivative of 5*r**8/336 - r**7/105 - r**6/12 + r**5/15 + 5*r**4/24 - r**3/3 - 5*r**2. Let q(t) = 0. What is t?
-1, 2/5, 1
Let q = 12 - -1. Let k(d) = -9*d**3 - 8*d**2 + 17*d - 13. Let n(l) = -4*l**3 - 4*l**2 + 8*l - 6. Let b(r) = q*n(r) - 6*k(r). Solve b(f) = 0.
0, 1
Suppose -2*m - 5*n = 21, 5*m - 2*n + 5 = -5*n. Let o be (-4 + m)/((-2)/4). Determine r so that 3*r**4 + 4*r**5 - 2*r**5 - 2*r + r**4 - o*r**2 = 0.
-1, 0, 1
Suppose 2*z + 2*z + 2*c = 14, -3*z + c + 3 = 0. Let b = 4 + -4. Suppose 0*j**z + b*j**2 + 6*j - 3*j**2 = 0. What is j?
0, 2
Let k(a) be the third derivative of a**7/1050 - a**5/300 + 11*a**2. Factor k(i).
i**2*(i - 1)*(i + 1)/5
Let k be 1*(-6)/(-4)*2. Let i(h) be the first derivative of 3/4*h**4 + 1/3*h**k + 0*h - 1/2*h**2 + 1 - 1/5*h**5 - 1/3*h**6. Determine j so that i(j) = 0.
-1, 0, 1/2, 1
Let u = 181/1596 - 4/133. Let k(o) be the third derivative of -u*o**4 + 0*o**3 - o**2 + 1/30*o**5 + 0*o + 0. Find z such that k(z) = 0.
0, 1
Let i(m) be the second derivative of -33*m**5/20 - 35*m**4/4 - 14*m**3 - 6*m**2 + 23*m. Suppose i(r) = 0. What is r?
-2, -1, -2/11
Let 0*n + 0 + 1/9*n**3 - 2/9*n**2 = 0. Calculate n.
0, 2
Let h(n) be the second derivative of n**5/5 + n**4 + 2*n**3 + 2*n**2 - 2*n. Factor h(v).
4*(v + 1)**3
Suppose 16/7*l**5 - 12/7*l**2 + 12/7*l**4 + 4/7*l + 0 - 20/7*l**3 = 0. What is l?
-1, 0, 1/4, 1
Let h be 1*-4 + (-435)/(-105). Let t(o) be the first derivative of 1 - h*o**2 - 9/14*o**4 + 8/35*o**5 + 4/7*o**3 + 0*o. Factor t(x).
2*x*(x - 1)**2*(4*x - 1)/7
Let b(s) = s - 2. Let o be b(0). Let c be (-40)/(-28) -