y(b) = -2*b + 0*b**2 + 5*b + 6 - 14*b**k. Let q(n) = 5*n**2 - n - 2. Let o(s) = 11*q(s) + 4*y(s). Factor o(z).
-(z - 2)*(z + 1)
Let c(l) = l**2 + 4*l + 3. Let j be c(-3). Let u = 6 + -40/7. Suppose -4/7*b**2 - u*b + j - 2/7*b**3 = 0. Calculate b.
-1, 0
Let y(g) be the first derivative of g**3/21 + 9*g**2/7 + 81*g/7 - 5. Factor y(s).
(s + 9)**2/7
Let h(n) be the first derivative of -n**6/30 + 2*n**5/25 - n**4/20 + 8. Suppose h(p) = 0. Calculate p.
0, 1
Let m(k) be the first derivative of -k**3/4 - 3*k**2/4 - 7. Let m(x) = 0. What is x?
-2, 0
Let g(n) be the second derivative of -n**7/10080 + n**6/1440 - n**5/480 + n**4/6 + 2*n. Let i(f) be the third derivative of g(f). Factor i(h).
-(h - 1)**2/4
Let p(m) be the second derivative of m**4/12 - 7*m**3/6 - 31*m + 1. Factor p(v).
v*(v - 7)
Let g = 66/85 - 8384/595. Let x = g + 68/5. Factor 0*k + x*k**2 + 0*k**3 - 2/7*k**4 + 0.
-2*k**2*(k - 1)*(k + 1)/7
Let f(t) be the second derivative of t**6/195 - 2*t**5/65 + 5*t**4/78 - 2*t**3/39 + 6*t. Let f(s) = 0. What is s?
0, 1, 2
Let s(c) be the first derivative of -1/2*c**4 + c - 1 + c**2 + 0*c**3 - 1/5*c**5. What is m in s(m) = 0?
-1, 1
Let p(x) be the third derivative of x**8/560 - x**7/175 + x**5/50 - x**4/40 + x**2. Factor p(k).
3*k*(k - 1)**3*(k + 1)/5
Let k be 1/3 - (-82)/6. Let s be k/(-77) + 35/11. Factor -2/5*t + 0 + t**2 - t**4 + 2/5*t**s.
-t*(t - 1)*(t + 1)*(5*t - 2)/5
Let u(z) be the second derivative of 2*z + z**2 - 1/21*z**7 + 1/15*z**6 + 0 - 1/3*z**4 + 1/5*z**5 - 1/3*z**3. Factor u(q).
-2*(q - 1)**3*(q + 1)**2
Let g(v) = v**4 + 12*v**3 + 12*v**2 + 4*v. Let b(p) = 4*p**4 + 36*p**3 + 36*p**2 + 12*p. Let a(z) = 3*b(z) - 8*g(z). Factor a(m).
4*m*(m + 1)**3
Let w(a) = -2*a**3 + 97*a**2 + 50*a - 47. Let q be w(49). Factor -1/2*g**5 + 0*g**q + 1/2*g**3 + 0*g**4 + 0 + 0*g.
-g**3*(g - 1)*(g + 1)/2
Let m be (-13)/(-52)*4/3. Factor -2/3 - m*r**3 + 2/3*r**2 + 1/3*r.
-(r - 2)*(r - 1)*(r + 1)/3
Let -12/5*n**2 + 3/5*n**4 - 6/5*n**3 + 24/5*n + 0 = 0. Calculate n.
-2, 0, 2
Find i such that 0 - 1/4*i**5 - 9/4*i + 1/2*i**3 + i**4 - 3*i**2 = 0.
-1, 0, 3
Suppose -27 = 4*j - 135. Suppose j = 3*p - 180. Determine k so that -122*k**3 + 6*k + 197*k**3 + 204*k**3 + 456*k**4 + p*k**2 + 240*k**5 = 0.
-1, -2/5, -1/4, 0
Let u(o) = -5*o**5 + o**4 + 4*o**3 - 8*o**2 - o + 1. Let q(f) = 2 + 6*f**5 - 4*f**3 + 9*f**2 - 2 + f**3. Let g(x) = -2*q(x) - 3*u(x). Let g(s) = 0. Calculate s.
-1, 1
Let s be 0/3 + (-2 - -5). Let m be s - (-5 - -3) - 3. Determine g so that 1/2*g**5 - 1/2*g**3 + 1/4*g**4 + 0*g - 1/4*g**m + 0 = 0.
-1, -1/2, 0, 1
Let z(s) be the third derivative of -s**7/1155 + s**5/330 + 8*s**2. Factor z(k).
-2*k**2*(k - 1)*(k + 1)/11
Factor 4/3*m**3 + 0 + m**4 - 2/3*m - 1/3*m**2.
m*(m + 1)**2*(3*m - 2)/3
Let t(j) be the first derivative of 0*j + 4*j**4 - 1/2*j**2 + 3 + 0*j**3. Find a, given that t(a) = 0.
-1/4, 0, 1/4
Suppose 24 - l - 37 + 19 + 3*l**2 + 10*l = 0. What is l?
-2, -1
Let l(g) be the third derivative of -g**5/30 + g**4/6 - 30*g**2. Factor l(u).
-2*u*(u - 2)
Suppose -2*j + 4*j = 0. Suppose -3*u = r - 1, j = -3*r - r + 5*u + 4. Find s such that 2*s**3 - 2*s**2 - 1 - 2*s + 2*s**4 + r = 0.
-1, 0, 1
Factor -9*i - i - 7*i**2 + 2*i**2.
-5*i*(i + 2)
Let j be (168/30)/14*2. Factor -4/5*z + 0 + 8/5*z**4 - 8/5*z**2 + j*z**5 + 0*z**3.
4*z*(z - 1)*(z + 1)**3/5
Suppose 2*m = -2*b, 21 = -b + 19. Let g = 245 - 1711/7. Factor g - m*f**2 - 10/7*f.
-2*(f + 1)*(7*f - 2)/7
Suppose 0 = -2*u - 2 + 6. Factor 29 + 2*n**u - 29 + 2*n - 4*n**2.
-2*n*(n - 1)
Let -3/5*u**3 + 9/5 + 3/5*u**2 + 3*u = 0. Calculate u.
-1, 3
Let v(q) = q**2 - 1. Let p be v(1). Let x = p + 5. Suppose 0*b**3 - b**2 - b**2 - x*b**3 = 0. What is b?
-2/5, 0
Let y be (-2)/18*(-15)/40. Let i(k) be the third derivative of 0*k**3 + 1/120*k**6 - k**2 + 0*k + 1/140*k**7 - 1/40*k**5 - y*k**4 + 0. Solve i(d) = 0.
-1, -2/3, 0, 1
Let d(z) be the second derivative of -2/21*z**3 - 1/84*z**4 + 0 - 2/7*z**2 + 8*z. Factor d(n).
-(n + 2)**2/7
Let s(v) be the first derivative of 2*v**6/3 + 16*v**5/5 + 5*v**4 + 8*v**3/3 + 1. Find x such that s(x) = 0.
-2, -1, 0
Let t = -110 + 110. Suppose -1/2*m**5 + 0 + 0*m - 1/2*m**3 + m**4 + t*m**2 = 0. What is m?
0, 1
Let z(v) be the second derivative of -v**5/360 - v**4/144 - v**2 + v. Let a(h) be the first derivative of z(h). Solve a(y) = 0.
-1, 0
Let o(r) be the third derivative of -r**5/20 + 2*r**2. Suppose o(y) = 0. What is y?
0
Factor 0 - 4/3*i + 2*i**2 - 2/3*i**3.
-2*i*(i - 2)*(i - 1)/3
Suppose -3*h**2 + h - 3*h - 14*h - h**2 - 12 = 0. What is h?
-3, -1
Factor -1/5*g**3 + 1/5*g + 6/5*g**2 - 6/5.
-(g - 6)*(g - 1)*(g + 1)/5
Let a(g) be the third derivative of g**7/1785 - 7*g**6/510 + 61*g**5/510 - 7*g**4/17 + 12*g**3/17 + 7*g**2. Solve a(d) = 0 for d.
1, 6
Let v(p) be the second derivative of p**4/78 - 4*p**3/39 + 4*p**2/13 + 24*p. Factor v(w).
2*(w - 2)**2/13
Let s(d) = d**3 - 2*d**2 + d. Let n be s(2). Factor -f**2 + f**2 + 0*f**2 - n*f**2 - 2*f**3 + 4*f.
-2*f*(f - 1)*(f + 2)
Factor -i**2 + 50*i - 19*i - 16*i - 20*i.
-i*(i + 5)
Let k(o) = -9*o**2 - 20*o - 4. Let v(u) = -36*u**2 - 80*u - 16. Let y(s) = -9*k(s) + 2*v(s). Factor y(m).
(m + 2)*(9*m + 2)
Let w(n) be the third derivative of -n**5/25 + 7*n**4/15 - 16*n**3/15 - 17*n**2. Factor w(c).
-4*(c - 4)*(3*c - 2)/5
Let b(g) be the third derivative of 0*g**3 + 2*g**2 + 0*g**4 + 0 - 1/168*g**8 - 1/300*g**6 + 8/525*g**7 + 0*g - 1/75*g**5. Factor b(p).
-2*p**2*(p - 1)**2*(5*p + 2)/5
Suppose 3*o + 2*l - 76 = -0*o, -31 = -o + 5*l. Suppose -5*x - 6 = -o. Determine j, given that -4*j**2 + x*j**2 + 2*j**2 - 2*j**4 = 0.
-1, 0, 1
Let p(l) = -3*l**3 - 8*l**2 - 5*l + 5. Let o(u) = -4*u**3 - 12*u**2 - 8*u + 8. Let q(r) = 5*o(r) - 8*p(r). Suppose q(t) = 0. What is t?
-1, 0
Let u = -7/111 + 146/555. Factor -2/5*v + 0 - u*v**2.
-v*(v + 2)/5
Let j(t) be the second derivative of t**5/90 - t**4/18 + 2*t**3/27 - 8*t. Factor j(n).
2*n*(n - 2)*(n - 1)/9
Let a be (-2)/(-12)*(5 + -1). Let 2*p - a*p**2 - 2*p**3 + 4/3*p**4 - 2/3 = 0. What is p?
-1, 1/2, 1
Suppose 7/3*b**2 + 16/3*b + 1/3*b**3 + 4 = 0. What is b?
-3, -2
Let f(v) be the second derivative of -v**5/40 + v**4/4 - 3*v**3/4 + v**2 + 28*v. Solve f(z) = 0.
1, 4
Let h = 2 - -1. Let r be h - 0/(4/(-4)). Determine v so that -1/5*v**4 + 1/5*v + 3/5*v**r + 0 - 3/5*v**2 = 0.
0, 1
Let i(o) be the second derivative of o**6/36 - 5*o**5/24 + 5*o**4/9 - 5*o**3/9 - 17*o. Factor i(w).
5*w*(w - 2)**2*(w - 1)/6
Let o(q) be the second derivative of -196*q**5/25 - 161*q**4/15 - 88*q**3/15 - 8*q**2/5 + 3*q. Solve o(h) = 0 for h.
-2/7, -1/4
Let v = -18 + 21. Determine h, given that -9*h**3 + 15*h**2 + 9 - 21*h + 3*h**3 + v*h**3 = 0.
1, 3
Factor p**2 + 20*p**3 - 5*p**5 + 2108*p**4 - 2093*p**4 - p**2.
-5*p**3*(p - 4)*(p + 1)
Let a = -7 - -11. Let t(z) = z**2 + 0 + 3 - a. Let h(m) = 2*m**2 - 3*m - 5. Let p(l) = -h(l) + 3*t(l). Factor p(r).
(r + 1)*(r + 2)
Let w = -59556/17 - -3506. Determine o, given that 8/17 - w*o**4 - 2*o**2 + 70/17*o**3 + 10/17*o**5 - 8/17*o = 0.
-2/5, 1, 2
Let h = -15 - -16. Let r(m) = -3*m**3 + 4*m**2 + 7*m + 5. Let z(y) = -y**3 + y + 1. Let n(j) = h*r(j) - 5*z(j). Factor n(b).
2*b*(b + 1)**2
Let u be 39 + -34 + (0 - 1). Suppose 0 + 2/5*m**u - 2/5*m**2 - 2/5*m**3 + 2/5*m = 0. What is m?
-1, 0, 1
Let u(l) = -l**3 + l**2. Suppose -1 = 2*w + 1. Let q be u(w). Factor -2 - 2 - q*z**3 + 0 + 6*z.
-2*(z - 1)**2*(z + 2)
Let f = -1 - -2. Let j be f + 0/2 + 1. Determine t, given that -4*t**j + t**2 + 4*t**2 + t = 0.
-1, 0
Let j(u) be the first derivative of 13*u**4/4 - 2*u**3/3 + 4. Suppose j(q) = 0. What is q?
0, 2/13
Let a(b) be the second derivative of 1/15*b**6 - 3*b + 0 + 0*b**3 + 0*b**2 - 1/42*b**7 + 0*b**4 - 1/20*b**5. Solve a(t) = 0 for t.
0, 1
Let f(r) = 6*r**3 + 12*r**2 + 12*r. Let v(b) = -5*b**3 - 11*b**2 - 11*b - 1. Let k = 7 - 9. Let m(h) = k*f(h) - 3*v(h). Let m(p) = 0. Calculate p.
-1
Let p(g) be the first derivative of 2/9*g**3 - 2 + 0*g + 1/180*g**5 - 1/18*g**4 + 1/2*g**2. Let u(y) be the second derivative of p(y). Solve u(x) = 0 for x.
2
Determine y so that -2/5*y**5 + 2/5*y + 4/5*y**4 - 4/5*y**2 + 0*y**3 + 0 = 0.
-1, 0, 1
Let y be 2/((-12)/(-8 + 4)). Let n(r) be the first derivative of 2*r - 2*r**2 + 2 + y*r**3. Suppose n(o) = 0. Calculate o.
1
Let u be (-1)/(12/34)*(-4 - -2). Factor -2/3 - 7*m**