*2 + u.
u*(u - 1)**2
Let z(f) be the second derivative of f**5/20 - f**4/12 - f. Suppose -9 = 8*k + 7. Let r(b) = -8*b**3 + 8*b**2 - 2*b. Let i(u) = k*r(u) - 18*z(u). Factor i(w).
-2*w*(w - 2)*(w + 1)
Let x(l) = -l**2 + 4*l - 2. Let o be 32/18 + (-12)/(-54). Let t be x(o). Find b such that -2*b**t - 14/9*b**5 + 0 + 2*b**4 + 4/9*b + 10/9*b**3 = 0.
-1, 0, 2/7, 1
Let j be -1 + (-16)/(-10) - 0. Let q(h) be the first derivative of j*h**5 - h + 2 + 3/2*h**2 - 1/2*h**4 - 2/3*h**3 - 1/6*h**6. Factor q(w).
-(w - 1)**4*(w + 1)
Suppose 5*i - 195 = -30. Suppose 2*o - 21 = -3*v, 3*o - 3*v = -o + i. Solve -1 + 1 + o*k**4 + 2*k**3 - 7*k**4 = 0 for k.
-1, 0
Let i(j) be the third derivative of j**7/630 - j**6/90 + j**5/36 - j**4/36 + 4*j**2. Factor i(k).
k*(k - 2)*(k - 1)**2/3
Factor -12/23*b + 2/23*b**2 + 10/23.
2*(b - 5)*(b - 1)/23
Let v = -23 + 23. Let u be v - ((-15)/9 + 1). Factor -2/3*s**2 - u*s**3 + 2/3 + 2/3*s.
-2*(s - 1)*(s + 1)**2/3
Let r = -1/122 + 91/3660. Let d(w) be the second derivative of -r*w**6 - w + 0*w**4 + 0 + 1/4*w**2 + 1/6*w**3 - 1/20*w**5. Factor d(g).
-(g - 1)*(g + 1)**3/2
Let s = -313 - -4071/13. Determine v so that 4/13 - 2/13*v**2 - s*v = 0.
-2, 1
Suppose 0 = r + 2, 5*h - 2*r - r - 46 = 0. Suppose -4*s + h + 0 = 0. Suppose -1/2*m**3 + 0 + 0*m + 1/2*m**s = 0. Calculate m.
0, 1
Suppose -n - 6 = -2*l, 2*l - 3 = -n + 11. Factor -l*b**2 + 9*b + 18 + 3*b + 7*b**2.
2*(b + 3)**2
Let x = -4/10339 + -5562362/51695. Let o = x - -108. Factor 0*p + 2/5*p**2 - o*p**3 + 0.
-2*p**2*(p - 1)/5
Let i be (-22)/(-77) - (-66)/14. Let t(w) = -5*w**3 + 4*w**2 + w - 3. Let l(s) = 10*s**3 - 9*s**2 - s + 5. Let y(v) = i*t(v) + 3*l(v). Factor y(h).
h*(h - 1)*(5*h - 2)
Let b(w) = -3*w**3 + 3*w**2 - 20*w + 13. Let k(v) = v**3 - v**2 + 10*v - 6. Let t(o) = -6*b(o) - 13*k(o). Let t(x) = 0. Calculate x.
-1, 0, 2
Let r be (-1 + -4)/(-5) + 2. Let k(b) be the second derivative of -1/14*b**4 + 1/70*b**5 + 0 - 1/7*b**2 + 1/7*b**r - 2*b. Determine m, given that k(m) = 0.
1
Let r be 14/4 - (-9 - -8). Factor r*v**2 - 3/2*v**3 - 9/2*v + 3/2.
-3*(v - 1)**3/2
Let z(t) be the third derivative of t**8/1680 - t**7/1050 - t**6/200 + t**5/300 + t**4/60 + 38*t**2. Solve z(m) = 0.
-1, 0, 1, 2
Suppose 3*f + 12 = 0, 44 = 4*k + 4*f + f. Let a be -3 - 12/k - -4. Determine l so that 1/4*l**5 - a*l**4 + 1/4*l**2 + 0*l + 0 - 1/4*l**3 = 0.
-1, 0, 1
Let b(l) = -l**2 - 8*l + 3. Let y be b(-7). Let q = -19/2 + y. Factor x + q + 1/2*x**2.
(x + 1)**2/2
Let i(j) be the second derivative of j**6/15 - j**4/6 - j. Determine b so that i(b) = 0.
-1, 0, 1
Let b(m) be the third derivative of 1/3*m**3 + 1/6*m**5 + 3/8*m**4 + 0 + 1/40*m**6 + 6*m**2 + 0*m. Factor b(o).
(o + 1)*(o + 2)*(3*o + 1)
Suppose 6*s - 20 = 2*s. Suppose -o + 0 = 3*v - s, 3*o - 1 = -2*v. Factor -1/4*m**v - 1/4 - 1/2*m.
-(m + 1)**2/4
Let x = 757 - 2269/3. Factor -x*a + 1/2*a**3 + 0 - 2/3*a**2.
a*(a - 2)*(3*a + 2)/6
Let r = 61 + -60. Let z(k) be the first derivative of -8*k**2 - 1/2*k**4 - r + 8*k + 10/3*k**3. Find u such that z(u) = 0.
1, 2
Let l(n) = -n**3 - 2*n**2 - n. Let x be l(-2). Suppose -5*h + 39 = -x*h. Solve 49*m**4 - m**4 + h*m**3 + 2*m**2 - 3*m**3 + 32*m**5 + 8*m**3 = 0.
-1, -1/4, 0
Let j = 9 + -5. Suppose -4*x - 10 = 5*g, -g - 11 = -j*g + x. Let p + 2*p**g - 2*p - p = 0. Calculate p.
0, 1
Let n = 29/2 - 14. Factor 3/2*d**2 - 3/2*d - n*d**3 + 1/2.
-(d - 1)**3/2
Let u(d) be the third derivative of -1/240*d**6 + 0*d**3 - 1/120*d**5 + 1/48*d**4 + 0*d + 0 - 6*d**2 + 1/420*d**7. Factor u(r).
r*(r - 1)**2*(r + 1)/2
Let g = 2/178009 + 22784158/88470473. Let a = g + 2/71. Find h, given that a*h**2 - 12/7*h + 18/7 = 0.
3
Factor -3/2*l**3 + l**2 + 0*l + 1/2*l**4 + 0.
l**2*(l - 2)*(l - 1)/2
Let y(a) be the second derivative of a**7/70 + a**6/40 - 3*a**5/20 - 5*a**4/8 - a**3 - a**2/2 - 2*a. Let d(o) be the first derivative of y(o). Factor d(j).
3*(j - 2)*(j + 1)**3
Let c be (-15)/30*(-3 + -1). Let a(n) be the second derivative of -1/70*n**5 + 0*n**3 + 0 + 0*n**2 - 1/42*n**4 - c*n. Let a(b) = 0. Calculate b.
-1, 0
Let v be 6/(-9) + 47/3. Suppose -4*t - t = -v. Factor 35*x**t - 18*x**2 - x - 22*x**4 + 5*x + 6*x**5 - 5*x**3.
2*x*(x - 1)**3*(3*x - 2)
Let y(v) be the second derivative of -50*v**7/63 + 22*v**6/9 - 19*v**5/15 - 23*v**4/9 + 16*v**3/9 + 8*v**2/3 + 6*v. Factor y(p).
-4*(p - 1)**3*(5*p + 2)**2/3
Let u(w) be the second derivative of w**6/6 - 5*w**4/12 - 16*w. Factor u(g).
5*g**2*(g - 1)*(g + 1)
Let y = -3 + 1. Let l be (-5)/y - (-2)/(-4). Suppose 0*o**3 + 8*o + 2 + 0 + 4*o**3 + 10*o**l = 0. Calculate o.
-1, -1/2
Let b(i) be the second derivative of -3*i**5/20 - 3*i**4/2 + 7*i**3/2 - 15*i. Factor b(t).
-3*t*(t - 1)*(t + 7)
Let s(n) = 4*n**2 - 4*n + 2. Let z(f) = f**2 - f. Let j = 3 - 8. Let u(k) = j*z(k) + s(k). Solve u(c) = 0 for c.
-1, 2
Let b(q) = q**2 - 5. Let z(d) = -3. Let c(l) = 2. Let t(j) = 4*c(j) + 3*z(j). Let k be ((2 - -2) + 0)/1. Let n(u) = k*t(u) - b(u). Factor n(x).
-(x - 1)*(x + 1)
Factor i + 21*i + 9*i**2 + i**3 + 10*i + 27 - 5*i.
(i + 3)**3
Suppose -3*n - 10 = -5*t + 5, -4*t + 12 = -4*n. Let 32*b + 13*b - 10 - 70*b**t - 5*b + 2 - 22*b**2 = 0. Calculate b.
-1, 2/7, 2/5
Let m(g) be the first derivative of 2 + 1/6*g**6 - 1/5*g**5 + 0*g - 3/4*g**4 - g**2 + 5/3*g**3. Solve m(d) = 0 for d.
-2, 0, 1
Determine i, given that -18/7*i**2 - 4/7*i - 2*i**3 + 0 = 0.
-1, -2/7, 0
Let r = -181/3 + 61. Let x(k) be the first derivative of -1/2*k**4 - r*k**3 + 0*k + 2*k**2 + 2. Factor x(f).
-2*f*(f - 1)*(f + 2)
Let i(y) = y**2 + 6*y + 1. Let b be i(-4). Let j = 29/4 + b. Find r such that -3/4*r**2 - 1/4*r**3 - j - 3/4*r = 0.
-1
Let g(i) = -8*i**5 - 16*i**4 + 18*i**3 + 9*i**2 - 10*i + 3. Let m(s) = s**4 - s**2 + s. Let h(v) = -g(v) + 4*m(v). Determine j so that h(j) = 0.
-3, -1, 1/2
Let a(k) = 5*k**4 + 10*k**3 - 6*k**2 + 4*k - 7. Let i(h) = 4*h**4 + 9*h**3 - 6*h**2 + 4*h - 6. Let s(w) = 5*a(w) - 6*i(w). Factor s(y).
(y - 1)**4
Let v(b) be the third derivative of -b**9/7560 + b**7/420 - b**6/180 - b**4/6 + b**2. Let k(h) be the second derivative of v(h). Factor k(o).
-2*o*(o - 1)**2*(o + 2)
Suppose p + 2*y + 6 = 0, -3*y + 4*y + 3 = p. What is l in 0 + 2/5*l**2 - 2/5*l**5 + p*l + 2/5*l**3 - 2/5*l**4 = 0?
-1, 0, 1
Let n(u) be the third derivative of u**8/20160 + u**7/1260 + u**6/180 - u**5/15 + 2*u**2. Let j(c) be the third derivative of n(c). Solve j(v) = 0 for v.
-2
Let a(z) = -z + 1. Let u be a(-4). Factor -u*p + 3*p + 3*p**2 - 4*p.
3*p*(p - 2)
Let q(c) be the first derivative of 21*c**5/10 - 9*c**4/2 - 2*c**3 + 7. Factor q(y).
3*y**2*(y - 2)*(7*y + 2)/2
Let a(n) = n**2 - n. Let c(z) = -18*z**2 + 28*z + 8. Let m(j) = -4*a(j) - c(j). Factor m(u).
2*(u - 2)*(7*u + 2)
Let m(g) = 24*g**2 + 24*g - 20. Let y(p) = 0*p**2 - 5*p**2 + 4 - 5*p + 0*p**2. Let n(w) = -3*m(w) - 14*y(w). Factor n(k).
-2*(k - 1)*(k + 2)
Let i(q) = -3*q + 20. Let v be i(6). Let m(s) be the first derivative of -3*s**2 - v*s - 3 - 1/2*s**4 - 2*s**3. Factor m(o).
-2*(o + 1)**3
Let d(n) be the first derivative of -1/7*n**6 + 2/7*n**4 - 1/7*n**2 - 4/7*n + 4/7*n**3 - 8/35*n**5 - 6. Suppose d(o) = 0. Calculate o.
-1, 2/3, 1
Let v be (-1140)/152*2/(-20). Factor 12 + v*g**2 + 6*g.
3*(g + 4)**2/4
Factor -q**2 - 3557*q**4 + 3558*q**4 - q - q**3 + 2*q.
q*(q - 1)**2*(q + 1)
Factor 2*a - 2*a**2 - 2/3 + 2/3*a**3.
2*(a - 1)**3/3
Let f(p) be the first derivative of p**4/24 - p**3/9 - p**2/12 + p/3 - 16. Factor f(m).
(m - 2)*(m - 1)*(m + 1)/6
Let z(t) be the second derivative of -t**7/11340 + t**5/540 + 5*t**4/12 + 5*t. Let f(s) be the third derivative of z(s). Factor f(w).
-2*(w - 1)*(w + 1)/9
Let g(r) be the first derivative of 2*r**3/3 - 11*r**2 - 24*r - 7. Factor g(d).
2*(d - 12)*(d + 1)
Let f(q) = -q**2 - q. Let i(h) = -4*h**2 - 15*h - 36. Let l(z) = 3*f(z) - i(z). Factor l(o).
(o + 6)**2
Let k(v) be the first derivative of v**6/6 - 4*v**5/5 + v**4 + 2*v**3/3 - 5*v**2/2 + 2*v - 38. Factor k(s).
(s - 2)*(s - 1)**3*(s + 1)
Let o(i) be the first derivative of i**4/12 + 4*i**3/9 + 5*i**2/6 + 2*i/3 - 15. Find l, given that o(l) = 0.
-2, -1
Determine l, given that -9*l**5 - 12*l + 23*l**2 - 6*l**4 + 281*l**3 + l**2 - 242*l**3 = 0.
-2, -1, 0, 1/3, 2
Let p = -24 - -21. Let v(b) = 31*b**4 + 67*b**3 + 44*b**2 + 5*b. Let o(t) = -32*t**4 - 68*t**3 - 44*t**2 - 4*t. Let d(i) = p*o(i) - 4*v(