- 12*n**2 - 1/18*n**4 + 0 + 5/126*n**7 + 0*n. Factor m(q).
q*(q - 1)*(5*q + 2)**2/3
Let n = 10880/11 - 988. Factor -n*l + 18/11 + 2/11*l**2.
2*(l - 3)**2/11
Let n(k) = 8*k**2 + 5 - 40*k**2 + 17*k**2 + 13*k**2 + 3*k. Let l(h) = 6*h**2 - 8*h - 14. Let f(c) = 3*l(c) + 8*n(c). Factor f(m).
2*(m - 1)*(m + 1)
Let q(p) = -111*p**4 - 21*p**3 + 27*p - 27. Let y(g) = 16*g**4 + 3*g**3 - 4*g + 4. Let a = 36 + -32. Let w(v) = a*q(v) + 27*y(v). Factor w(u).
-3*u**3*(4*u + 1)
Suppose -4592 = 38*l - 34*l. Let h be 6/(-2) - l/364. Suppose 0 - 2/13*f**2 - h*f + 2/13*f**3 + 2/13*f**4 = 0. What is f?
-1, 0, 1
Let z be 40/22 - 4/(-22). Factor -9*c**z + 14*c**2 - 8*c**2 - 3 - 6*c.
-3*(c + 1)**2
Let t(a) be the third derivative of a**9/483840 - a**8/161280 - a**7/20160 - 3*a**5/20 - 12*a**2. Let j(y) be the third derivative of t(y). Factor j(q).
q*(q - 2)*(q + 1)/8
Suppose -3 = s - 1. Let m(j) = -5*j**2 - 12*j - 13. Let z(n) = -5*n**2 - 13*n - 12. Let u(y) = s*m(y) + 3*z(y). Find h such that u(h) = 0.
-2, -1
Find t, given that t**3 - 28*t**4 + 18*t**3 + 53*t**3 - 8*t**3 = 0.
0, 16/7
Let s = -25 - -27. Find x, given that -12*x**3 + 20*x**4 + x - 33*x - 36*x**3 + 80*x**s - 18*x**3 - 2*x**5 = 0.
0, 1, 4
Let b = -1 - 99. Let h be (-45)/(-2)*(-10)/b. Factor -7/4*w**2 - 1/2 + h*w.
-(w - 1)*(7*w - 2)/4
Find d, given that -4/3 + 13/3*d - 17/3*d**3 - 13/3*d**4 + 17/3*d**2 + 4/3*d**5 = 0.
-1, 1/4, 1, 4
Let y(h) be the first derivative of -2*h**3/11 + 6*h**2/11 + 90*h/11 + 24. Determine s so that y(s) = 0.
-3, 5
Suppose 5*d - 9*t + 5*t = 32, -2*t - 26 = -5*d. Let 0 - 2 + 7*k**2 - 2*k**d - 3*k**2 = 0. Calculate k.
-1, 1
Let v = -9627/532 + -123/76. Let p = v - -20. Factor -2/7*m**2 + 4/7*m + 0 + p*m**4 - 4/7*m**3.
2*m*(m - 2)*(m - 1)*(m + 1)/7
Let t(s) be the second derivative of -3/10*s**5 - 25/6*s**3 + 0 - 4/15*s**6 - 1/42*s**7 + 32*s + 10/3*s**4 + 0*s**2. Factor t(j).
-j*(j - 1)**2*(j + 5)**2
Suppose -5*s - 5*v - 25 = 0, -76*s - 2*v - 1 = -71*s. Determine o, given that 0*o + 0 - 4/3*o**4 + 1/3*o**s + 2/3*o**2 - o**5 = 0.
-1, 0, 2/3
Suppose l - 2 - 13 = -3*f, 3*f - 24 = -4*l. Let t be (l/6)/((-1)/(-4)). Factor 1/2 + 1/2*u**t + u.
(u + 1)**2/2
Solve -4*r**5 - r**5 + 40*r**2 - 10*r**2 - 5*r**3 - 33111*r**4 + 33091*r**4 = 0 for r.
-3, -2, 0, 1
Suppose 0 = 5*a, 5*a - 3 + 12 = 3*k. Let m(u) be the first derivative of 3*u**4 - 2/3*u**6 + 6 - 8/5*u**5 + 0*u - 8*u**2 + 16/3*u**k. Find s such that m(s) = 0.
-2, 0, 1
Suppose -5*m = 777 - 792. Let f(i) be the second derivative of -3/4*i**2 + 1/8*i**m + 0 + 1/16*i**4 + i. Factor f(d).
3*(d - 1)*(d + 2)/4
Let s(p) = 1464*p**2 - 1466*p**2 + 0*p + 0*p + 1. Let v = 3 + -4. Let t(w) = w**2 + 1. Let i(d) = v*s(d) + t(d). Factor i(f).
3*f**2
Let a(m) = m**2 - 6*m - 5. Let u be a(7). Solve -4*c + 10*c**u + 2*c**3 - 2*c**3 - 3*c**3 - 3*c**3 = 0.
0, 2/3, 1
Let i be -2 - 14/(-6) - (-306)/(-918). Determine w so that 0*w + 8/11*w**4 + i + 8/11*w**3 + 0*w**2 + 2/11*w**5 = 0.
-2, 0
Let i(t) be the first derivative of t**3/12 - 55*t**2/4 - 149. What is p in i(p) = 0?
0, 110
Let q(p) be the second derivative of -16/3*p**3 + 32*p**2 + 1/3*p**4 + 0 + 3*p. Determine s, given that q(s) = 0.
4
Factor 15*v + 5/3*v**2 - 50/3.
5*(v - 1)*(v + 10)/3
Let y(m) be the first derivative of m**4 - 3*m**3 + 3*m**2 - m + 806. Factor y(k).
(k - 1)**2*(4*k - 1)
Let a be (10032/(-55))/19 - -11. Factor -6/5 + 16/5*r**2 + 17/5*r - a*r**3.
-(r - 3)*(r + 1)*(7*r - 2)/5
Determine h, given that 0 + 0*h**3 + 2/15*h**4 - 2/15*h**5 + 0*h**2 + 0*h = 0.
0, 1
Let b(r) be the first derivative of -r**3 + 11 + 0*r + r**2 + 1/4*r**4. Determine c, given that b(c) = 0.
0, 1, 2
Let m(d) be the second derivative of d**6/105 + 3*d**5/70 + d**4/21 + 57*d - 1. Factor m(o).
2*o**2*(o + 1)*(o + 2)/7
Suppose -4*k - 5*u = -34, 0*k + 29 = 3*k + 2*u. Let r = 58/5 - k. Find l, given that r*l + 2/5 + 1/5*l**2 = 0.
-2, -1
Let p(x) be the third derivative of -x**6/60 - 2*x**5/15 + 7*x**4/4 + 4*x**2 + 70*x. What is d in p(d) = 0?
-7, 0, 3
Let -3/2*k**3 - 27/2*k**2 + 3/2*k**4 + 0 + 27/2*k = 0. What is k?
-3, 0, 1, 3
Let n = 16 + -77/5. Let k(s) be the first derivative of -1 + n*s**5 - 1/2*s**6 + 0*s**2 + 0*s + 3/4*s**4 - s**3. Factor k(t).
-3*t**2*(t - 1)**2*(t + 1)
Let y(x) = 5*x + 14. Let t be y(0). Find k, given that k**2 - 26 - 10*k + t + k**2 + 0*k**2 = 0.
-1, 6
Let t be 7/1*(120/(-35))/(-6). Determine y so that 4*y**2 + t*y + 437 - 437 = 0.
-1, 0
Find s, given that -91*s**3 + 56 - 80*s + 25*s**2 + 216*s**3 - 36 = 0.
-1, 2/5
Let w(y) = -y**3 + 5*y**2 + 5*y + 11. Let n be w(5). Factor -22*d**3 - 7*d**3 - 96*d - 3*d**3 + 171*d**4 + n + 88*d**2 - 167*d**4.
4*(d - 3)**2*(d - 1)**2
Let m = -9 + 13. Let d be 3 + (3 - (m + 2)). Factor 2*u - 5*u + u + 2*u**2 + d*u.
2*u*(u - 1)
Let y(w) be the third derivative of w**5/12 + 65*w**4/2 + 5070*w**3 + 11*w**2 + 4. Solve y(p) = 0.
-78
Find p, given that 5*p**4 + 787*p**2 - 792*p**2 - 10*p - 5*p**5 + 5*p**3 + 10*p**3 = 0.
-1, 0, 1, 2
Let t(f) be the first derivative of -5*f**3/3 - 30*f**2 - 55*f - 47. Factor t(m).
-5*(m + 1)*(m + 11)
Let f(q) be the second derivative of -2/63*q**7 + 1/15*q**5 - 5*q - 1/18*q**4 + 0*q**3 + 0 + 1/45*q**6 + 0*q**2. Determine p so that f(p) = 0.
-1, 0, 1/2, 1
Let y(q) be the first derivative of -1/2*q**3 + 10 - 3*q - 9/4*q**2. Factor y(d).
-3*(d + 1)*(d + 2)/2
Let g be ((0/1)/(-3 - -5))/(-2). Suppose 6*a - 10*a + 16 = g, -4*v + 2*a = 0. Find j such that 3/2*j - 15/4*j**v - 21/4*j**3 + 0 = 0.
-1, 0, 2/7
Let m(f) be the second derivative of -f**2/2 - 4*f. Let k(d) = -8*d - 12*d**2 - 3*d**3 + 8 - d**3 - 2. Let p(o) = -k(o) - 6*m(o). Factor p(w).
4*w*(w + 1)*(w + 2)
Let a(d) be the second derivative of -3*d**2 - 1/240*d**5 - 2/3*d**3 - 1/12*d**4 - 5*d + 0. Let i(w) be the first derivative of a(w). Solve i(u) = 0.
-4
Suppose 186*z**2 + 201*z**3 + 2883*z - 388*z**3 + 190*z**3 = 0. Calculate z.
-31, 0
Let k be (4/16)/(((-78)/(-72))/13). Find r such that 0*r + 0 + 9/2*r**4 + 0*r**k + 3*r**5 - 3/2*r**2 = 0.
-1, 0, 1/2
Let w be (-264)/(-180) - 2/(-10) - 1. Let c(h) be the second derivative of 2*h**5 - 5/3*h**6 + 0 - w*h**4 + 0*h**3 + 7*h + 0*h**2. Factor c(b).
-2*b**2*(5*b - 2)**2
Let o(g) be the third derivative of -g**9/3024 - g**8/240 + g**7/210 + g**4/4 + 18*g**2. Let n(z) be the second derivative of o(z). Factor n(p).
-p**2*(p + 6)*(5*p - 2)
Let l = 4 + -1. Let v(s) = s**2 + 5. Let u(z) = -z**2. Let t(j) = 2*j**2 + 3. Let k(c) = -t(c) - u(c). Let h(d) = l*v(d) + 5*k(d). Find r such that h(r) = 0.
0
Let f be (-145)/105 - 256/(-96). Suppose 3/7*l**4 - 6/7 + 3/7*l**2 + f*l - 9/7*l**3 = 0. What is l?
-1, 1, 2
Let i = -96 + 98. Let j(s) be the second derivative of 0 - 4*s + 0*s**3 - 1/3*s**4 + 0*s**i. Find l such that j(l) = 0.
0
Suppose 61*d - o = 59*d + 3, 2*d = -3*o + 15. Let y(u) be the second derivative of 0 + 4/3*u**d + 0*u**2 - 6*u - 1/3*u**4. Determine l, given that y(l) = 0.
0, 2
Determine v so that -52*v**2 + 4*v**4 + 9*v + 15*v - 3804*v**3 + 4*v**4 + 3808*v**3 = 0.
-3, 0, 1/2, 2
Let g(p) = 14*p**2 + 84*p + 160. Let q(y) = 5*y**2 + 28*y + 54. Let d(s) = -3*g(s) + 8*q(s). Determine v so that d(v) = 0.
-12, -2
Let f(k) be the second derivative of 3*k**5/20 + 17*k**4/4 + 40*k**3 + 96*k**2 + k + 10. Solve f(l) = 0.
-8, -1
Let u(c) be the third derivative of 3/40*c**6 + 1/8*c**4 + 0*c + 0*c**3 + 3/20*c**5 + 1/70*c**7 - 35*c**2 + 0. Factor u(y).
3*y*(y + 1)**3
Let g be (240/9)/8*(-3)/(-2). Suppose -4*l - 5*r - 5 = 0, -g = 2*l + 5*r - 0. Find o such that l + 6/7*o**2 - 4/7*o + 10/7*o**3 = 0.
-1, 0, 2/5
Let k(g) be the second derivative of -1/30*g**4 + g - 6/5*g**2 + 9 + 1/3*g**3. What is y in k(y) = 0?
2, 3
Let p = -23060 + 23062. Determine r so that -16/3*r + 8/5 + 2/3*r**3 + 46/15*r**p = 0.
-6, 2/5, 1
Suppose 13 = -2*t - 5*j, -2*t + 8*j + 17 = 7*j. Factor 14/3*a**2 - 10*a + t - 2/3*a**3.
-2*(a - 3)**2*(a - 1)/3
Let f(g) be the third derivative of -1/2016*g**8 - 1/630*g**7 + 0 + 16*g**2 + 0*g**6 + 0*g + 0*g**3 + 1/180*g**5 + 1/144*g**4. Factor f(p).
-p*(p - 1)*(p + 1)**3/6
Suppose -941*t + 917*t = 0. Factor m**4 - 1/3*m**3 + 4/3*m + t - 4*m**2.
m*(m - 2)*(m + 2)*(3*m - 1)/3
Let p(b) be the third derivative of -17*b**5/60 + b**4/24 + 310*b**2. Determine u, given that p(u) = 0.
0, 1/17
Let m(k) be the third derivative of 1/1155*k**7 + 0*k + 14*