(f - 2)**2*(f - 1)**3/5
Let m(o) be the second derivative of o**7/273 + 2*o**6/195 + o**5/130 + 56*o + 1. Determine s, given that m(s) = 0.
-1, 0
Factor 15*n**2 - 141/5*n - 18/5.
3*(n - 2)*(25*n + 3)/5
Let z be 62/8 - (-5 + 10). Let y(q) be the first derivative of 8*q - 6/5*q**5 - 6*q**2 - 2/3*q**3 - 6 + 1/6*q**6 + z*q**4. Factor y(a).
(a - 2)**3*(a - 1)*(a + 1)
Suppose 709*h - 723*h = 0. Let -1/2*b**4 - 1/2*b**2 + h*b + 0 - b**3 = 0. What is b?
-1, 0
Let v be -3*(3/(-6) - 0) + (-18)/18. What is o in 1/2*o**2 - 1/2*o - 1/2 + v*o**3 = 0?
-1, 1
Suppose 4*c = -4*n - 4384, 5*c + 367 + 2927 = -3*n. Let f = n - -4393/4. Factor f*u**2 - 1/2 - 1/4*u.
(3*u - 1)*(7*u + 2)/4
Let m(i) be the first derivative of i**4/14 + 16*i**3/21 + 3*i**2 + 36*i/7 - 112. Determine p, given that m(p) = 0.
-3, -2
Factor -98304/7 - 3/7*d**4 + 30720/7*d - 3456/7*d**2 + 24*d**3.
-3*(d - 16)**3*(d - 8)/7
Let d be (-3)/(-54)*2 + (-450)/(-324). Solve -1/2*b**5 + d*b**3 - b**4 + 0 - 2*b + 2*b**2 = 0 for b.
-2, 0, 1
Let p = 17 + -15. Solve 11*l**p - 12 - 8 - 6*l**2 - 5*l - 10*l = 0 for l.
-1, 4
Let s be (2/72)/((-173)/(-692)). Let a(g) be the first derivative of 2/3*g**2 + 4/3*g - s*g**3 - 7 - 1/12*g**4. Suppose a(l) = 0. Calculate l.
-2, -1, 2
Let i(l) be the second derivative of l**5/25 + 2*l**4 + 30*l**3 - 78*l + 1. Let i(r) = 0. Calculate r.
-15, 0
Determine t so that 1185*t - 193*t**2 - 158 + 79*t**2 + 72*t**2 + 628 + 67*t**2 = 0.
-47, -2/5
Let z(x) = 4*x**5 + 7*x**4 - x**3 - 2*x**2 + 2*x - 5. Let v(w) = w**5 + w**4 - w**3 + w - 1. Let a(m) = -10*v(m) + 2*z(m). Determine s, given that a(s) = 0.
-1, 0, 1, 3
Let m = -16599/4 - -4221. Let b = m + -1401/20. Factor -b*x**2 + 4/5 - 2/5*x.
-2*(x + 1)*(3*x - 2)/5
Let r(p) = p**3 - 9*p**2 - 10*p + 7. Let g be r(10). Let b be 1*(g/(-14) - (-1)/2). Factor 0*f + 0*f**2 + 3/5*f**5 + 3/5*f**3 + 6/5*f**4 + b.
3*f**3*(f + 1)**2/5
Let t(n) be the third derivative of n**8/15120 - n**6/135 + n**5/10 + 15*n**2. Let r(b) be the third derivative of t(b). What is i in r(i) = 0?
-2, 2
Let z(u) be the third derivative of u**7/8820 - u**6/2520 - u**5/210 + 7*u**4/24 + 12*u**2. Let k(s) be the second derivative of z(s). What is w in k(w) = 0?
-1, 2
Let j = 133633/480 - 1392/5. Let f(m) be the third derivative of 1/1680*m**7 - 1/192*m**4 + 1/960*m**6 + 0*m**3 - 3*m**2 + 0*m - j*m**5 + 0. Factor f(h).
h*(h - 1)*(h + 1)**2/8
Suppose -f = n - 3 - 3, 20 = 3*n + f. Let k be 21/(-6) + -3 + n. Factor -1/2*t**2 - 1/2*t**3 + k*t**4 + 0 + 1/2*t.
t*(t - 1)**2*(t + 1)/2
Let f(i) = 4*i**4 - 9*i**3 + i**2 + 9*i - 8. Let p(k) = -k**4 + k**3 + k**2 - k + 1. Let q be 10/(4*(0 - 3/18)). Let t(j) = q*p(j) - 5*f(j). Factor t(d).
-5*(d - 5)*(d - 1)**2*(d + 1)
Let m = 6002 - 5997. Determine q, given that 2/11 - 14/11*q**4 + 12/11*q**2 - 10/11*q + 6/11*q**m + 4/11*q**3 = 0.
-1, 1/3, 1
Let c(k) be the second derivative of -35*k + k**4 - 3/20*k**5 + 3*k**2 - 5/2*k**3 + 0. Factor c(t).
-3*(t - 2)*(t - 1)**2
Suppose 0 = -4*k + 4 - 64. Let r be (-16)/(-10) - 6/k. Solve -5*t**r + 15 + 30*t - 90 + 2*t**2 = 0 for t.
5
Let b(o) be the first derivative of 169/15*o**2 + 52/45*o**3 + 1/30*o**4 - 48 + 0*o. Find h, given that b(h) = 0.
-13, 0
Suppose 0 + 3/7*m**3 + 27/7*m - 30/7*m**2 = 0. What is m?
0, 1, 9
Let z be 5/20 - (171/(-60) - 2/4). Factor 2/5*r**4 + z*r**2 + 4/5 + 14/5*r + 2*r**3.
2*(r + 1)**3*(r + 2)/5
Let x(p) = -8*p**2 - 5*p - 4. Let u(h) be the first derivative of -1/3*h**3 - h - 1/2*h**2 - 3. Let s(w) = 14*u(w) - 2*x(w). Factor s(c).
2*(c - 3)*(c + 1)
Let q(r) = 3*r**2 - 32*r + 14. Let f(c) = 2*c**2 - 17*c + 6. Let u(n) = -10*f(n) + 6*q(n). Suppose u(o) = 0. What is o?
-12, 1
Let d = 23 - 17. Suppose 0 = u + 3*n - d*n + 10, 5*n - 25 = 0. Factor -8*a**2 + 154*a**4 + 3*a**3 - 5*a**5 + 3*a**u + 3*a**3 - 150*a**4 - 8*a.
-2*a*(a - 2)**2*(a + 1)**2
Factor -112*g**3 - g**4 + 51*g**3 - 3*g**2 + 56*g**3 + 9*g.
-g*(g - 1)*(g + 3)**2
Suppose 10*w**4 + 37*w**3 - 20 + 7*w - 5*w**5 + 3*w**3 - 42*w + 10*w**2 = 0. What is w?
-1, 1, 4
Let t be 18/(-30)*(-7 + 2). Let z(l) = 3*l**3 + 2*l**2 - 2*l + 1. Let k be z(1). Solve 4*h**2 - k*h**3 + 4*h**3 + 4*h**4 + 8*h**t = 0 for h.
-1, 0
Suppose 2*n = 3*n + 2*x + 3, -n = 5*x. Let w = -1 - n. Find y such that -3*y**5 - 4*y**5 + 0*y**5 - 4*y**2 + 6*y**5 + 3*y**w = 0.
-1, 0, 2
Let q(o) be the first derivative of -4/5*o**5 - 1/6*o**6 + 0*o**2 + 12 + 0*o + 0*o**3 - 3/4*o**4. Let q(k) = 0. Calculate k.
-3, -1, 0
Determine q so that 500 + 31*q**4 - 8*q**4 - 15*q**4 + 600*q - 33*q**3 - 6*q**4 + 65*q**2 = 0.
-5/2, -1, 10
Let y(x) be the first derivative of -x**4/30 + x**3/5 - 2*x**2/5 - 24*x - 19. Let p(q) be the first derivative of y(q). Solve p(k) = 0 for k.
1, 2
Let t(o) be the third derivative of 2*o**7/315 - 7*o**5/45 + o**4/3 - 38*o**2. Find k, given that t(k) = 0.
-3, 0, 1, 2
Let y(f) be the first derivative of -2/3*f**3 + 4*f + f**2 - 2. Factor y(l).
-2*(l - 2)*(l + 1)
Let k(z) be the third derivative of -z**5/330 - 151*z**4/66 - 22801*z**3/33 - 382*z**2 + 1. Factor k(a).
-2*(a + 151)**2/11
Let s = 165/7 + -24. Let g = s - -23/21. Let g*l**5 + 4/3*l**2 + 2*l - 4/3 - 8/3*l**3 + 0*l**4 = 0. What is l?
-2, -1, 1
Let u = 10 - 8. Factor 7*w**4 + 9*w**3 + w**3 - 4*w**u + 7*w**4.
2*w**2*(w + 1)*(7*w - 2)
Let o = 501/17 + -985/34. Solve o*u**3 + 0 - 2*u**4 - 1/2*u + 2*u**2 = 0 for u.
-1, 0, 1/4, 1
Suppose 8 = 8*k - 40. Determine r so that 6 - 11 + 4*r**2 + k*r**2 + r**4 - 6*r**4 = 0.
-1, 1
Let x be 2/12*378/126. Solve 4/3*u**2 - x*u**3 - 7/6*u + 1/3 = 0.
2/3, 1
Suppose 336 = -x + 340. Suppose 10 = 5*v + 5*t, x*v + 0*t - t = 8. Factor 1/2*r**4 - r + r**3 + 0 - 1/2*r**v.
r*(r - 1)*(r + 1)*(r + 2)/2
Let d(q) be the third derivative of -q**5/30 - 17*q**4/12 - 16*q**3/3 + 93*q**2. Factor d(m).
-2*(m + 1)*(m + 16)
Let i(g) be the first derivative of -g**3/21 + 46*g**2/7 + 188*g/7 - 389. Factor i(b).
-(b - 94)*(b + 2)/7
Suppose m - 5*t = 5*m - 84, -4*m - 2*t = -72. Factor -19 + m*l - 17 + 2 + 2 - 2*l**2.
-2*(l - 4)**2
Let f(t) = 6*t**4 - 23*t**3 - 58*t**2 + 41*t. Let z(x) = x**4 - 4*x**3 - 10*x**2 + 7*x. Let h(p) = -6*f(p) + 34*z(p). Solve h(m) = 0 for m.
-2, 0, 1, 2
Factor -118*h**2 + 93*h**2 + 60*h - 2*h**4 + 87*h**2.
-2*h*(h - 6)*(h + 1)*(h + 5)
Let h(r) be the third derivative of r**6/40 - 151*r**5/20 + 703*r**4 + 2888*r**3 + 31*r**2 + 6. Find w, given that h(w) = 0.
-1, 76
Let u(v) = 5*v**4 + 59*v**3 + 155*v**2 + 156*v + 3. Let y(s) = 60*s**4 + 705*s**3 + 1860*s**2 + 1870*s + 35. Let z(w) = 35*u(w) - 3*y(w). Factor z(t).
-5*t*(t + 2)*(t + 3)*(t + 5)
Let j(u) be the third derivative of -u**6/600 - 3*u**5/50 - 27*u**4/40 - 103*u**2 - 2. Factor j(z).
-z*(z + 9)**2/5
Let l(c) be the second derivative of -c**6/900 + 11*c**5/600 + c**4/20 - 19*c**3/6 - 4*c. Let i(r) be the second derivative of l(r). Factor i(b).
-(b - 6)*(2*b + 1)/5
Let x be ((-27)/(-15))/(3/10). Let i(n) be the third derivative of 1/360*n**x - 1/45*n**5 - 5*n**2 + 0 + 0*n + 0*n**3 + 1/18*n**4. Let i(k) = 0. What is k?
0, 2
Let j = 272 + -269. Let k(b) be the first derivative of 0*b**5 - 4/9*b**j + 0*b - 3 + 1/2*b**4 - 1/9*b**6 + 0*b**2. Factor k(n).
-2*n**2*(n - 1)**2*(n + 2)/3
Solve 840/13*c - 332/13*c**2 - 450/13 - 2/13*c**4 - 56/13*c**3 = 0.
-15, 1
Let k be (-9 + (2 - 2))*(-3)/9. Let s be (0*5/10)/k. Find x such that 0*x + s - 8/9*x**4 + 8/9*x**5 + 2/9*x**3 + 0*x**2 = 0.
0, 1/2
Suppose -2*t - u = 3, 5*t - 9*u + 14*u = -15. Let l be (1 - 1)/((-4)/(-2)). Suppose t*x**2 + 0*x + l + 2/3*x**3 = 0. Calculate x.
0
Let v(k) be the third derivative of k**8/15120 - k**7/378 + 5*k**6/108 + k**5/10 - 20*k**2. Let d(g) be the third derivative of v(g). Find z such that d(z) = 0.
5
Let h = 123 + -119. Suppose -h*x = -s - 10 - 8, 0 = 4*s - x - 3. Determine j, given that -2/3*j**3 + 2/3*j + 2/3*j**s - 2/3 = 0.
-1, 1
Let t(u) be the third derivative of -u**8/6720 - u**7/1120 + 14*u**3/3 - 26*u**2. Let k(i) be the first derivative of t(i). Factor k(v).
-v**3*(v + 3)/4
Suppose m + 24 = 3*y - 4*m, -3*y + m = -24. Let o = 41/4 - y. Determine l so that o + 1/4*l**2 + 3/2*l = 0.
-3
Let i(v) = v**2 + 7*v - 6. Let w be i(-8). Let y(s) = -s + 11. Let d be y(8). Factor 13*k**d - 8*k + w*k + 2*k**5 - 11*k**4 - 2 - 23*k**2 + 10*k**3 + 17*k.
(k - 2)*(k - 1)**3*(2*k - 1)
Let -6 + 1/2*a**4 - 7/2*a**2 + 10*a - a**3 = 0. Wha