*f**4 + 117 - 333 + 91 - 106*f**2.
(f - 5)**2*(f - 1)**3
Let y be ((-235)/(-20) - -5) + 2/8. Let h = y - 17. Suppose 0 + 1/2*f**3 + 1/2*f**2 + h*f = 0. Calculate f.
-1, 0
Suppose 5*v - 17 = -7. Let b(i) = 4*i**2 - 3 + 4 - 3*i**v - 2*i**2. Let q(d) = 2*d**3 + 10*d**2 + 24*d + 18. Let g(m) = -2*b(m) + q(m). Factor g(k).
2*(k + 2)**3
Factor 869*k + 342*k + 189*k + 122500 + 4*k**2.
4*(k + 175)**2
Let w = 27 + -19. Suppose 0*h**5 + 20*h + 16*h**4 - 4*h**3 - 12*h**3 - 8*h**2 - w - 4*h**5 = 0. Calculate h.
-1, 1, 2
Let v be 5/(-10) - 1/(-2). Suppose -4*j - 3*i - 9 = v, 2*i - 4*i = -3*j + 6. Suppose 0*x**2 + 1/5*x**5 + 2/5*x**4 + 0*x**3 + j*x + 0 = 0. Calculate x.
-2, 0
Factor -28/3 - f**2 - 8*f + 1/3*f**3.
(f - 7)*(f + 2)**2/3
Suppose -578 - y**2 - y**2 + 96*y + 394 = 0. Calculate y.
2, 46
Factor -q**3 - 16*q + 13 + 9*q**2 - 10*q + 2*q**3 + 2*q**2 + q.
(q - 1)**2*(q + 13)
Let x(a) be the first derivative of 0*a - 2/5*a**5 + 0*a**2 + 2 - 1/2*a**4 - 2/9*a**3 - 1/9*a**6. Factor x(i).
-2*i**2*(i + 1)**3/3
Let v(d) = 1. Let f(j) = -j - 6. Let o(s) = -3*f(s) + 12*v(s). Let p be o(-9). Factor 8*i**2 + 3*i**4 - 30*i**p + 18*i**3 + i**4.
4*i**2*(i - 2)*(i - 1)
Factor 2/3*r**2 + 224*r + 18816.
2*(r + 168)**2/3
Suppose -7*f + 3*f + 20 = 2*r, -33 = -3*r - 3*f. Factor -9*p**2 - r + 7*p**2 + 30*p**2 + 16*p.
4*(p + 1)*(7*p - 3)
Let l(t) = -t**2 - 20*t + 12. Let r(s) = s**2. Let a(f) = l(f) + 4*r(f). Factor a(h).
(h - 6)*(3*h - 2)
Let d(p) = 6*p - 40. Let w be d(7). Factor 16*q - q**w - 6 - q**2 - 5*q - 3*q.
-2*(q - 3)*(q - 1)
Suppose -3*c - c = -s - 7, 2*c - 4*s = 0. Factor -4*r**2 + 10 - 7*r**2 + 15*r**c + 54 - 32*r.
4*(r - 4)**2
Let m(l) be the third derivative of -l**7/350 + 2*l**6/25 + l**5/25 - 8*l**4/5 + 120*l**2. Find z, given that m(z) = 0.
-2, 0, 2, 16
Suppose -3*h + 18 + 1 = p, 0 = 4*h - 20. Let l(j) be the first derivative of 0*j + 1/4*j**3 + 11 + 1/4*j**2 + 1/16*j**p. What is b in l(b) = 0?
-2, -1, 0
Let u = -3625/24 - -1211/8. Let u*v**2 - 1 + 2/3*v = 0. Calculate v.
-3, 1
Let v(n) be the third derivative of -n**5/420 + 37*n**4/84 + 25*n**3/14 - 473*n**2. Factor v(t).
-(t - 75)*(t + 1)/7
Let l(g) = 5*g**2 - 30*g + 65. Let h(y) = -5*y**2 + 32*y - 64. Let f(o) = 5*h(o) + 4*l(o). Factor f(d).
-5*(d - 6)*(d - 2)
Let a be 3 + (6/3 - -9). Let c = 85/6 - a. Suppose -7/6*n**2 - c - 5/6*n - 1/2*n**3 = 0. What is n?
-1, -1/3
Let z(x) be the third derivative of x**6/720 + x**5/80 + x**4/24 - 7*x**3/3 + 16*x**2. Let l(v) be the first derivative of z(v). Determine u so that l(u) = 0.
-2, -1
Suppose 6*f = 10*f - 8. Let -6*h**3 + 15 + 2*h**3 + 15*h**3 - 55*h**f + 4*h**3 + 25*h = 0. What is h?
-1/3, 1, 3
Let o = 110 - 108. Let k(a) be the first derivative of -1/15*a**3 - 1/5*a**o - 2 - 1/5*a. Factor k(v).
-(v + 1)**2/5
Let n = -15/22 - 31/11. Let y = -31/10 - n. Factor -2/5*f**3 + 4/5*f**2 + y*f - 4/5.
-2*(f - 2)*(f - 1)*(f + 1)/5
Let i(g) be the second derivative of 3/4*g**2 + 0 + 16*g + 5/24*g**3 - 1/24*g**4 - 1/80*g**5. Factor i(q).
-(q - 2)*(q + 1)*(q + 3)/4
Let k(g) be the second derivative of -g**5/12 - g**4 - 14*g**3/3 - 32*g**2/3 - 286*g. Suppose k(c) = 0. Calculate c.
-16/5, -2
What is c in -770*c - c**3 - 3*c**3 - 108*c**2 + 98*c + 784 = 0?
-14, 1
Factor -2/9*s**2 - 2/3*s + 0.
-2*s*(s + 3)/9
Let r be 21/(-3) + -9*125/(-135). Factor 8/3 + r*z**2 - 14/3*z + 2/3*z**3.
2*(z - 1)**2*(z + 4)/3
Solve 14/5 + 2/5*w**2 - 16/5*w = 0 for w.
1, 7
Let p(d) be the third derivative of -16*d**2 - 3/11*d**4 - 13/110*d**5 - 1/385*d**7 + 0 + 0*d - 4/11*d**3 - 3/110*d**6. Suppose p(f) = 0. Calculate f.
-2, -1
Let v(r) be the second derivative of -5*r**7/42 + r**6/2 - r**5/2 - 5*r**4/6 + 5*r**3/2 - 5*r**2/2 - 6*r - 4. Factor v(l).
-5*(l - 1)**4*(l + 1)
Let y be (-8 - 116/(-16))*3/((-18)/4). Solve y - 3/4*p + 1/4*p**3 + 0*p**2 = 0 for p.
-2, 1
Suppose 2*f = -0*f - 4*v - 26, -87 = 5*f - v. Let s = f - -29. Factor -s*n + 16 + 2 - 2*n**2 - n**2 + 5*n**2.
2*(n - 3)**2
Let k be (-7 - (-2790)/144) + -12. Suppose -9/8*g**2 - 3/2*g**3 - k*g**4 + 0*g + 0 = 0. What is g?
-3, -1, 0
Factor -74/15*j - 4/5 - 26/15*j**5 - 176/15*j**2 - 68/5*j**3 - 116/15*j**4.
-2*(j + 1)**4*(13*j + 6)/15
Let v = -8 + 11. Let w(d) = 3*d. Let u be w(1). Suppose -3 + 4 + u*a + v*a**2 + a**3 + 2 - 2 = 0. Calculate a.
-1
Factor -30 + 70*m - 4*m**2 - 45*m - m**2.
-5*(m - 3)*(m - 2)
Suppose 121680 + h**2 + 8921*h - 10481*h + 4*h**2 = 0. What is h?
156
Let c be (-37)/(-1) + 0 + 3. Factor -400 - 49*w - c*w + 9*w - 4*w**2.
-4*(w + 10)**2
Let f(m) = -m**3 - 10*m**2 + 22*m - 21. Let l be f(-12). What is z in -4/3*z + 2/3*z**l - 1/3*z**4 + z**2 - 4/3 = 0?
-1, 2
Let w(c) be the third derivative of c**6/300 + c**5/75 - 2*c**4/15 - 74*c**2 + c. Determine d, given that w(d) = 0.
-4, 0, 2
Let v(a) be the second derivative of -a**7/280 + 3*a**5/80 - a**4/16 - 9*a**2/2 + 11*a. Let k(b) be the first derivative of v(b). Suppose k(m) = 0. What is m?
-2, 0, 1
Let a be (-8)/(-3) - (-2)/6. Determine y so that -88*y**2 - 5*y**a - 3*y**3 + 4*y**4 + 16*y + 76*y**2 + 16 = 0.
-1, 2
Let a = -431/2 - -217. Factor a*z**2 + 0 + 21/2*z.
3*z*(z + 7)/2
Let y(c) = c - 18. Let j be y(17). Let d(f) = -f**2. Let b(q) = q**4 - 6*q**2 + 2*q. Let p(w) = j*b(w) + 3*d(w). Find l such that p(l) = 0.
-2, 0, 1
Determine r, given that -25*r**2 + 13*r**2 + 1002*r**4 + 4*r**3 - 1000*r**4 + 12*r**2 = 0.
-2, 0
Let n = -3/499 + 643/23952. Let r(s) be the second derivative of 0 - 1/12*s**3 + n*s**4 + 0*s**2 - 9*s. Suppose r(l) = 0. What is l?
0, 2
Suppose -25 = z - 30. Suppose 12 - 27*n**3 - 13*n**3 + 54*n**2 - 14*n**2 - 52*n**4 + 52*n - 6*n**z - 6*n**5 = 0. Calculate n.
-3, -1, -1/3, 1
Let i(m) be the third derivative of -m**5/180 + 5*m**4/72 + m**3/3 - 23*m**2 - 2*m. Factor i(r).
-(r - 6)*(r + 1)/3
Let j be 2*(-2)/(-20) + (-9)/(-5). Let v = j + -6/5. Let -2/5 - v*q - 2/5*q**2 = 0. What is q?
-1
Factor 2/7*x**4 + 0 + 18/7*x**3 + 0*x - 72/7*x**2.
2*x**2*(x - 3)*(x + 12)/7
Factor -60*w**2 + 8*w**3 + 1 + 9*w + 31 - 45*w.
4*(w - 8)*(w + 1)*(2*w - 1)
Let u be (-25)/(-30) - (-6)/(-9). Let d(a) be the first derivative of 10/9*a**3 + u*a**4 + 8/3*a**2 + 13 + 8/3*a. Let d(c) = 0. What is c?
-2, -1
Let z = 661 - 658. Let j(l) be the first derivative of 7 - 6/5*l**2 + 12/5*l + 1/5*l**z. Factor j(k).
3*(k - 2)**2/5
Suppose 0 = -4*j + 2*j + 6. Factor -m**2 - 27*m**2 + 32*m**j - 4*m**4 + 108 - 44*m**2.
-4*(m - 3)**3*(m + 1)
Determine m, given that -35*m - 16 + 16*m**2 - 2*m**3 + 7*m + 30*m = 0.
-1, 1, 8
Let o(x) = 21*x**2 + 69*x + 39. Let f(c) = -2*c**2 - 8*c + 1. Let d be f(-5). Let p(t) = -5*t**2 - 17*t - 10. Let j(s) = d*p(s) - 2*o(s). Factor j(y).
3*(y + 1)*(y + 4)
Let o = 2333 - 6998/3. Let r(a) = 3*a**2 - a. Let n be r(-1). Factor 0*t - o*t**n + 2/3*t**3 + 0*t**2 + 0.
-t**3*(t - 2)/3
Let g(z) be the third derivative of 0*z + 0 + 1/120*z**5 + 1/48*z**4 + 0*z**3 + 15*z**2. Factor g(l).
l*(l + 1)/2
Let b(m) be the third derivative of -m**6/3240 - m**5/1080 + m**4/108 + 31*m**3/6 + 27*m**2. Let j(l) be the first derivative of b(l). Factor j(q).
-(q - 1)*(q + 2)/9
Suppose -40 = -8*y - 0*y. Suppose y*n = 4*x - 8*x - 9, -2*n - 14 = -x. Factor 9*z**3 - 13*z**3 + 6*z**x - 2*z**4.
4*z**3*(z - 1)
Let c = -2 + 4. Factor -10*m**3 + m**4 + 2*m**4 + 9*m**c + 22*m**3.
3*m**2*(m + 1)*(m + 3)
Let t(k) = k**2 + k - 10. Let p be t(-4). Let c(v) be the second derivative of 1/6*v**4 - p*v - v**2 + 1/10*v**5 - 1/3*v**3 + 0. Factor c(g).
2*(g - 1)*(g + 1)**2
Let p(u) be the first derivative of -5*u**3/3 - 15*u**2 + 360*u + 68. Solve p(g) = 0.
-12, 6
Suppose -3*l + 30 + 183 = 0. Let c = l + -139/2. Factor -11/2*s**4 - 9/2*s**2 - c*s**5 + 0 - s - 15/2*s**3.
-s*(s + 1)**3*(3*s + 2)/2
Determine u so that -16/11*u + 12/11*u**2 - 2/11*u**4 + 0*u**3 + 6/11 = 0.
-3, 1
Let s(b) be the second derivative of 0*b**5 + 0 + 22*b - 5/4*b**4 + 5/3*b**3 + 0*b**2 + 1/6*b**6. Factor s(v).
5*v*(v - 1)**2*(v + 2)
Let x be (-3 + (2 - 2))*3549/(-9). Let d = 5933/5 - x. Factor 0 - 3/5*q - d*q**3 - 12/5*q**4 - 3/5*q**5 - 12/5*q**2.
-3*q*(q + 1)**4/5
Let m(v) be the first derivative of 3*v**5/20 + v**4/4 + 3*v + 5. Let o(f) be the first derivative of m(f). Factor o(s).
3*s**2*(s + 1)
Suppose 6*h - 15 = 3*h. Let w be 2/3 + 5/h + -1. Factor w*y - 4/3*y**2 - 2/3*y**5 + 0*y**3 + 4/3*y**4 + 0.
-2*y*(y - 1)**3*(y + 1)/3
Let k