 be x(3). Suppose 3*f = 4*f - l. Suppose w - w**3 - 3*w**5 + 4*w**f - w**3 = 0. What is w?
-1, 0, 1
Suppose u + 27 = 4*u. Suppose 10*s = u*s + 4. Find p such that 0*p - 3/2*p**2 + 0 + 3/2*p**5 + 9/2*p**3 - 9/2*p**s = 0.
0, 1
Let f(j) be the third derivative of -j**5/360 + j**4/144 + 6*j**2. Solve f(w) = 0.
0, 1
Let b(v) = -v**3 - v**2 - v + 1. Let w(p) = 2*p**5 + 20*p**4 + 54*p**3 - 14*p**2 - 44*p - 6. Let u(o) = 12*b(o) + 2*w(o). Factor u(m).
4*m*(m - 1)*(m + 1)*(m + 5)**2
Let -11*n - 13*n - 3*n**2 + 21*n + 18 = 0. Calculate n.
-3, 2
Suppose -3*y = -4*b + 23, -2*y - 17 = 4*b + 3*y. Let n(r) be the second derivative of -2*r + 1/2*r**3 + 1/12*r**4 + r**b + 0. Suppose n(x) = 0. What is x?
-2, -1
Let i be -2*(-1)/(-2) - -3. Let n = 323/243 - -1/243. Determine l so that -n + 2/3*l**i + 2/3*l = 0.
-2, 1
Let y = -7 + 10. Factor 0*h**2 - y*h - 3*h**3 - 6*h**2 + 0*h**2.
-3*h*(h + 1)**2
Let f(y) be the first derivative of -92*y**3 - 261/10*y**5 + 149/2*y**4 + 42*y**2 + 27/8*y**6 - 8*y + 7. Suppose f(b) = 0. Calculate b.
2/9, 2
Let j(z) be the third derivative of 3*z**2 + 0*z + 0*z**4 - 1/180*z**5 + 0*z**3 - 1/360*z**6 + 0. Factor j(m).
-m**2*(m + 1)/3
Let o(z) be the second derivative of 3*z + 0 - 1/27*z**3 + 1/270*z**5 + z**2 + 0*z**4. Let t(b) be the first derivative of o(b). Find k such that t(k) = 0.
-1, 1
Let k(c) = c**2 - 2*c - 12. Let h be k(5). Let v(r) be the first derivative of 0*r + 0*r**2 - 1/12*r**6 + 2 + 0*r**h - 1/10*r**5 + 0*r**4. Factor v(l).
-l**4*(l + 1)/2
Suppose 0*r + 2*o = 5*r - 14, 5*o - 23 = -2*r. Factor 0 + 15*b**3 + 6*b**r - 9*b**4 - 27*b**2 + 21*b - 6.
-3*(b - 2)*(b - 1)**3
Let b(y) = 2*y**3 + y**2. Let h(o) = -7*o**3 - 5*o**2 + o. Let u(g) = -22*b(g) - 6*h(g). What is a in u(a) = 0?
0, 1, 3
Let n(c) = c**3 - 2*c**2 - 2*c. Let v be n(3). Factor 3*r**3 + 0*r + 4*r**2 + 2*r - r**v.
2*r*(r + 1)**2
Suppose -5*t + 10 = -5*g, -5 = 5*g - 4*t + 3. Let o(w) be the second derivative of -1/60*w**5 - 1/90*w**6 + g*w**3 - 2*w + 0 + 0*w**4 + 0*w**2. Factor o(i).
-i**3*(i + 1)/3
Factor -1/2*z - 1/4*z**2 + 2.
-(z - 2)*(z + 4)/4
Let s(o) be the third derivative of -o**7/42 - o**6/24 + 19*o**2. Factor s(n).
-5*n**3*(n + 1)
Let n(s) = -8*s**4 + 25*s**3 - 18*s**2 + 5*s - 2. Let h(p) = -p**4 - p**2 + 1. Let z(q) = -2*h(q) - n(q). Factor z(b).
5*b*(b - 1)**2*(2*b - 1)
Let t(a) = -a**3 - 12*a**2 - 12*a - 9. Let m be t(-11). Determine d so that 2/5*d + 2/5*d**m + 0 = 0.
-1, 0
Let z(l) = l - 1. Let j be z(3). Factor -2*w**3 - 8*w + 2 - 4*w**3 - 2*w**3 + j*w**4 + 12*w**2.
2*(w - 1)**4
Suppose 0 = 5*p - 3*p - 10. Let x(v) = -v**3 - 6*v**2 - 2*v - 9. Let h be x(-6). Solve -2/7 + 78/7*i**4 - 4*i**2 + 40/7*i**h - 72/7*i**p - 16/7*i = 0 for i.
-1/3, -1/4, 1
Factor -7*o**4 + 9*o**3 + 19*o**4 - o**3.
4*o**3*(3*o + 2)
Factor 4*h**3 + 4*h**3 - 9*h**2 - 3*h**4 + 2*h**3 + 2*h**3.
-3*h**2*(h - 3)*(h - 1)
Suppose 2*l = -2*l + 12. Let j be l/(-1) - (-26)/8. Factor -1/4*f - j*f**2 + 0.
-f*(f + 1)/4
Factor 2/5*g**2 + 0 + 12/5*g.
2*g*(g + 6)/5
Let g(r) be the third derivative of -r**11/997920 + r**9/90720 - r**7/15120 - r**5/60 + 3*r**2. Let x(b) be the third derivative of g(b). Solve x(f) = 0.
-1, 0, 1
Let w = 3 + 0. Determine q, given that 4*q**3 + 2*q + 15*q**4 - 2*q**w - 4 + 5*q - 9*q**5 + 3 - 14*q**2 = 0.
-1, 1/3, 1
Let i(y) be the first derivative of -3*y**5/5 - 9*y**4/2 - 13*y**3 - 18*y**2 - 12*y + 38. Suppose i(s) = 0. Calculate s.
-2, -1
Let m(a) be the first derivative of -a**6/120 + a**5/30 + a**2 + 2. Let v(k) be the second derivative of m(k). Find d, given that v(d) = 0.
0, 2
Let t(n) = -n**3 + n**2 + 10*n + 8. Let o be t(4). Let h(c) be the first derivative of o*c**2 + 3/4*c**4 + c**3 + 1 + 0*c. Factor h(x).
3*x**2*(x + 1)
Let w(i) = -32*i - 6. Let u be w(-12). Let a be 4/6*u/90. Suppose -4/5 - 18/5*o**2 + 2*o**3 + a*o - 2/5*o**4 = 0. What is o?
1, 2
Let a(g) be the third derivative of g**5/240 - g**3/24 + 10*g**2. Factor a(v).
(v - 1)*(v + 1)/4
Let y(j) be the first derivative of -2*j**5/35 - j**4/14 + 10*j**3/21 - 3*j**2/7 + 7. Determine m, given that y(m) = 0.
-3, 0, 1
Suppose -5*h + 8*h = -15, -h = -d + 5. Let p = 3 - 1. Factor d*t + 1/2*t**p - 1/2.
(t - 1)*(t + 1)/2
Let m be -1*0/((-3)/(-1)). Suppose 9*h - 5*h - 12 = m. Factor 0 - 2/7*a**2 - 2/7*a**h + 0*a.
-2*a**2*(a + 1)/7
Let i(z) be the second derivative of z**9/6048 - z**8/1120 + z**7/840 + z**3 - z. Let f(u) be the second derivative of i(u). Factor f(s).
s**3*(s - 2)*(s - 1)/2
Let t(h) be the first derivative of -1/7*h**2 + 1/14*h**4 + 2/35*h**5 + 0*h - 2/21*h**3 + 1. Solve t(i) = 0 for i.
-1, 0, 1
Let r be 0 + -1 + 1 - -4. Determine w so that 3*w**2 - 6*w**3 + 3*w**2 - w + 5*w - r*w**2 = 0.
-2/3, 0, 1
Let m(z) = -9*z**4 - 21*z**3 - 21*z**2 - 9*z. Let c(u) = 8*u**4 + 21*u**3 + 21*u**2 + 8*u. Suppose 0*r - r = 3. Let t(i) = r*c(i) - 2*m(i). Factor t(w).
-3*w*(w + 1)*(w + 2)*(2*w + 1)
Let r(z) be the second derivative of 2*z**6/15 + 7*z**5/5 + 5*z**4 + 6*z**3 - 3*z + 1. Suppose r(o) = 0. Calculate o.
-3, -1, 0
Let l be 1/(1 - 0) - -2. Factor -w**3 - 6*w - 4 + 0*w + 3*w**l.
2*(w - 2)*(w + 1)**2
Let m be 3*-2*(-8)/12. Suppose -6*o**3 + 27*o**2 - 8*o**3 + 3*o**m - o**3 + 4 + 2 - 21*o = 0. What is o?
1, 2
Let x(k) be the second derivative of -k**7/42 + k**6/15 + k**5/20 - k**4/6 - 13*k. Factor x(o).
-o**2*(o - 2)*(o - 1)*(o + 1)
Let j(k) be the third derivative of k**9/40320 + k**8/3360 + k**7/672 + k**6/240 + k**5/6 + 5*k**2. Let z(q) be the third derivative of j(q). Factor z(n).
3*(n + 1)**2*(n + 2)/2
Factor 8/7 - 2/7*s**3 + 4/7*s**2 + 2*s.
-2*(s - 4)*(s + 1)**2/7
Let b(a) be the third derivative of a**8/6720 - a**7/2520 + a**4/8 - 3*a**2. Let f(t) be the second derivative of b(t). Factor f(z).
z**2*(z - 1)
Let w(y) be the first derivative of -y**6/5 + 2*y**5/25 + y**4/2 - 2*y**3/15 - 2*y**2/5 + 6. Solve w(g) = 0 for g.
-1, -2/3, 0, 1
Let s(o) be the second derivative of -o**4/12 + o**3/6 + o**2 - 2*o. Factor s(j).
-(j - 2)*(j + 1)
Suppose -1 = 5*l - 4*w - 5, -w = -4. Factor r**l + 3*r**4 + 13*r**2 - r**4 - r**5 - 17*r**2.
-r**2*(r - 2)**2*(r + 1)
Let d(a) = -9*a**3 + 26*a**2 + 17. Let h(f) = 6*f - 6*f - 3*f**3 + 9*f**2 + 6. Let y(p) = -6*d(p) + 17*h(p). Find w, given that y(w) = 0.
0, 1
Factor -18/7 + 12/7*z - 2/7*z**2.
-2*(z - 3)**2/7
Let w be (2/4)/((-3)/(-36)). Suppose -3*c - w + 0 = 0. Let p(h) = 2*h**2 + 2*h - 4. Let s(z) = z**2 - 1. Let l(t) = c*p(t) + 6*s(t). Factor l(y).
2*(y - 1)**2
Let k(m) be the first derivative of -2/7*m + 3/7*m**2 + 1 - 1/21*m**6 + 6/35*m**5 - 4/21*m**3 - 1/7*m**4. Factor k(a).
-2*(a - 1)**4*(a + 1)/7
Let f(g) = -7*g**2 + 8*g - 16. Let u(b) = 5 - 38 - 30 + 33*b - 28*b**2 + b**2. Let i(w) = -15*f(w) + 4*u(w). Find t such that i(t) = 0.
2
Let 8/3*o - 8/3*o**3 - 8/3 + 2*o**2 + 2/3*o**4 = 0. What is o?
-1, 1, 2
Suppose 11 + 5 = 4*l. Let o(k) be the second derivative of 0 - k - 1/2*k**3 - 1/2*k**2 - 1/4*k**l - 1/20*k**5. Factor o(v).
-(v + 1)**3
Let r be (1/(-518)*1)/(-1). Let o = r - -8283/2590. Find g such that 0 - o*g - 56/5*g**2 + 6*g**4 - 28/5*g**3 = 0.
-2/3, -2/5, 0, 2
Factor 3/2*j + 0 - 9/2*j**2 + 9/2*j**3 - 3/2*j**4.
-3*j*(j - 1)**3/2
Let d(j) be the third derivative of -j**5/12 - 5*j**4/4 - 25*j**3/6 + 10*j**2 - 3*j. Factor d(m).
-5*(m + 1)*(m + 5)
Suppose f + 4*m - 2 = 0, 2*m + 10 + 16 = 4*f. Factor 6*l**2 - 9*l - f - 4*l**2 + 0*l - 5*l**2.
-3*(l + 1)*(l + 2)
Let m(d) be the second derivative of -25/6*d**4 - 4*d**2 + 3*d + 0 + 20/3*d**3. Let m(g) = 0. Calculate g.
2/5
Let i(f) be the second derivative of -f**4/6 + 8*f**3/3 - 16*f**2 - 8*f. Factor i(a).
-2*(a - 4)**2
What is q in -6/13*q**3 + 2/13*q**2 - 2/13*q**5 + 0 + 0*q + 6/13*q**4 = 0?
0, 1
Let i(w) = -w**2 - w + 1. Let r be i(2). Let m = 10 + r. Let -9/2*c**4 + 9/2*c**2 + 5/2*c**3 - 7/2*c**m + c + 0 = 0. What is c?
-1, -2/7, 0, 1
Let n(c) be the first derivative of 1/9*c**3 + 2 - 1/15*c**5 - 1/12*c**4 + 1/6*c**2 + 0*c. Find k, given that n(k) = 0.
-1, 0, 1
Let i be 4/(-14) - 22/(-77). Let d(v) be the third derivative of 3*v**2 + 1/18*v**3 + 1/24*v**4 + i*v - 1/45*v**5 + 0. Suppose d(f) = 0. Calculate f.
-1/4, 1
Let x(a) be the first derivative of a**3/15 - a**2/5 + 20. Factor x(l).
l*(l - 2)/5
Factor 0 - 2*h + 1/2*h**2.
h*(h - 4)/2
Let h = -1/5 - -7/10. Let b(g) be the first derivative of 0*g - h*g**2