 0?
-1, 1
Let r(n) be the second derivative of n**4/4 - 18*n**3 + 486*n**2 - 2*n + 3. Factor r(y).
3*(y - 18)**2
Let x = 53737/8 - 6717. Factor 1/8*q - 1/4*q**2 + 1/4 - x*q**3.
-(q - 1)*(q + 1)*(q + 2)/8
Let n(f) be the third derivative of f**5/15 + 82*f**4/3 + 13448*f**3/3 + 12*f**2. Factor n(d).
4*(d + 82)**2
Factor -2*w**2 + 12 + 24*w - w**2 + w**2 - 9*w + 5*w**2.
3*(w + 1)*(w + 4)
Let p(q) be the first derivative of q**3/9 - 5*q**2/3 + 25*q/3 - 242. Factor p(k).
(k - 5)**2/3
Solve 2/11*d**4 + 0*d + 0*d**3 - 4/11*d**2 + 2/11 = 0 for d.
-1, 1
Find z, given that 1 - 112*z**4 + 32*z**5 - 113*z**2 - 13 - 8*z + 24*z**3 + 189*z**2 = 0.
-1/2, 1/2, 1, 3
Let z(d) be the first derivative of d**4/24 + 79*d**3/9 - 53*d**2/4 + 788. Factor z(n).
n*(n - 1)*(n + 159)/6
Suppose -4 = -5*n - 9. Let o = n + 4. Determine a, given that 1 - 17*a**2 - o + 15*a**2 + 4*a = 0.
1
Let q(r) be the second derivative of -r**7/98 + 2*r**6/35 - 3*r**5/70 - r**4/7 + 3*r**3/14 + 3*r + 9. Solve q(j) = 0 for j.
-1, 0, 1, 3
Let x(c) = -32*c**3 - 93*c**2 + 5*c - 14. Let n(b) = 11*b**3 + 30*b**2 - 2*b + 4. Let f(o) = 7*n(o) + 2*x(o). Factor f(a).
a*(a + 2)*(13*a - 2)
Let k(r) be the third derivative of r**6/180 + 73*r**5/90 - 149*r**4/36 + 25*r**3/3 - 49*r**2 + 2*r. Factor k(t).
2*(t - 1)**2*(t + 75)/3
Solve 25/8*u**4 - 30 - 459/2*u**2 + 405/8*u**3 + 317/2*u = 0.
-20, 2/5, 3
Let r(x) be the third derivative of -x**5/330 + 3*x**4/44 + 2*x**3/3 + 208*x**2. Find b such that r(b) = 0.
-2, 11
Factor 612*a**2 + 69*a**3 - 182*a**4 - 183*a**4 + 289*a + 367*a**4.
a*(a + 17)**2*(2*a + 1)
Suppose -5*i = -p + 16, -i = -3*p + 3 + 17. Factor 9*v - 3*v - p*v + v**2 - 1.
(v - 1)*(v + 1)
Suppose -2 = 3*t - 38. Let y be (2 - t/8)*4. Factor 4 - 9*u**y + 7*u**2 - 1 - 1.
-2*(u - 1)*(u + 1)
Suppose 0 = -6*g + 13*g + 56. Let o be (-3 + 6/4)*g/60. Factor 0 + 1/5*r**3 - 2/5*r - o*r**2.
r*(r - 2)*(r + 1)/5
Let x(s) be the third derivative of s**6/120 + s**5/20 - 3*s**4/8 - 31*s**3/6 + 16*s**2. Let h(f) be the first derivative of x(f). Factor h(z).
3*(z - 1)*(z + 3)
Factor -195*o - 350 - 1/7*o**3 - 72/7*o**2.
-(o + 2)*(o + 35)**2/7
Suppose 6 - 4 = g. Let t = 72 + -72. Find z such that 1/3*z**3 + z**g + t + 2/3*z = 0.
-2, -1, 0
Let i(x) be the second derivative of x - 1/180*x**5 + 1/36*x**4 + 3/2*x**2 + 0 - 1/18*x**3. Let l(o) be the first derivative of i(o). Factor l(d).
-(d - 1)**2/3
Factor 35*o**3 - 1592*o**2 - 1584*o**2 - 40*o + 3306*o**2.
5*o*(o + 4)*(7*o - 2)
Let g(s) be the second derivative of -s**4/8 - 33*s**3 - 393*s**2/4 - 27*s - 2. Determine r, given that g(r) = 0.
-131, -1
Suppose 0 = 5*w - 2*w + 3*w. Suppose 2*i = -w*i. Factor 2/3*j**5 - 2/3*j**2 + i + 2*j**3 + 0*j - 2*j**4.
2*j**2*(j - 1)**3/3
Suppose -2*j = 4*u + 24, 0*j = -3*u + 5*j - 5. Let l be (2/6)/(154/21 + u). Factor 0*d**2 + 0 + 0*d + l*d**3.
d**3/7
Factor 26/3*w + 2/9*w**3 - 32/9*w**2 + 0.
2*w*(w - 13)*(w - 3)/9
Let r(m) be the second derivative of -m**7/2016 + m**6/90 - m**5/40 + 7*m**4/4 + 19*m. Let k(u) be the third derivative of r(u). Find h, given that k(h) = 0.
2/5, 6
Suppose 0 = -a - 5*p - 2, 26 = 5*a - 3*p - 48. Let w = 8 - 6. Find u, given that 18*u + 3*u**w - a*u + 45 + 3 + 19*u = 0.
-4
Let w(q) = 2*q**2 + q - 3. Let d(t) = t**2 + t + 1. Let b = -2 + 6. Let i(l) = b*w(l) - 4*d(l). Find x such that i(x) = 0.
-2, 2
Let r(g) be the first derivative of -g**4/2 + 5*g**3/3 + 2*g**2 + 30*g - 28. Let z(x) be the first derivative of r(x). Factor z(l).
-2*(l - 2)*(3*l + 1)
Let w(m) be the third derivative of -m**6/54 + 17*m**5/135 - 8*m**4/27 + 8*m**3/27 + m**2 - 29. What is h in w(h) = 0?
2/5, 1, 2
Let h(l) = 10*l**2 + 16*l + 6. Let r(o) = -21*o**2 - 31*o - 13. Let n be (-7)/(7/(-2)) - 4. Let i(v) = n*r(v) - 5*h(v). Factor i(w).
-2*(w + 2)*(4*w + 1)
Let h be 196/147 + 10/6. Find l, given that -32/3*l + 8*l**2 + 16/3 + 1/3*l**4 - 8/3*l**h = 0.
2
Let w be ((-1)/(8/(-12)))/6. Find n, given that w*n**2 - 1/4*n**3 + 1/4*n - 1/4 = 0.
-1, 1
Let r be (5 + -8)*4/(-6). Let -7*g + 13*g - 5*g - r*g**3 + g**5 = 0. What is g?
-1, 0, 1
Let d(j) = -7*j**3 + 519*j**2 - 29277*j - 5. Let g(o) = 8*o**3 - 526*o**2 + 29276*o + 6. Let n(h) = 6*d(h) + 5*g(h). Factor n(k).
-2*k*(k - 121)**2
Let r = 0 + 12. Suppose 19*l**2 - l**5 - 28*l**2 - r*l - 6*l**4 + 33*l**2 - 9*l**3 + 4*l**5 = 0. Calculate l.
-2, 0, 1, 2
Factor 5 - 10*i**4 - 19*i + 2*i + 25*i**3 + 12*i - 15*i**2.
-5*(i - 1)**3*(2*i + 1)
Let w(o) be the third derivative of o**5/30 + o**4/12 - 2*o**3 - 25*o**2. Factor w(g).
2*(g - 2)*(g + 3)
Let p(m) be the third derivative of -m**8/840 + 11*m**7/175 - 69*m**6/50 + 81*m**5/5 - 2187*m**4/20 + 2187*m**3/5 + 22*m**2. Let p(b) = 0. What is b?
3, 9
Factor h**2 + 29 + h - 9 - h**2 + 5*h**2 - 26*h.
5*(h - 4)*(h - 1)
Let a be (88/374*2/8)/(23/46). Factor 0 - 2/17*r**3 + 4/17*r - a*r**2.
-2*r*(r - 1)*(r + 2)/17
Factor 0 - 1/5*m**3 + 0*m - 16/5*m**2.
-m**2*(m + 16)/5
Let x be 149/20*-12*(-9)/(-18). Let i = x + 226/5. Suppose 1/2 - i*m**2 + 15/8*m = 0. What is m?
-1/4, 4
Let q = 85 - 82. Factor -20*m**q + 15*m**3 - 15*m + 10*m**3 - 9*m**2 - m**2.
5*m*(m - 3)*(m + 1)
Factor 724 - 400 - 138*i**3 + 132*i**2 + 700 + 134*i**3 - 1152*i.
-4*(i - 16)**2*(i - 1)
Let y be 4/78 - ((-70)/156)/1. Factor -81/2 + 9*o - y*o**2.
-(o - 9)**2/2
Let j = -3118 + 3122. Let 3/2*t**3 + 0 - 3/2*t + 3/2*t**2 - 3/2*t**j = 0. What is t?
-1, 0, 1
Let z(r) be the second derivative of -21*r**5/20 - 19*r**4/4 - 5*r**3 - 392*r. Factor z(h).
-3*h*(h + 2)*(7*h + 5)
Solve 5*x - 14*x - 11*x - 5*x**3 + 6 - 20*x**2 - 6 = 0.
-2, 0
Let y(t) = -t**5 + t**4 - 2*t**3 + t**2 + 3*t + 1. Let l(m) = -9*m**5 - 116*m**4 - 833*m**3 - 1746*m**2 + 12*m + 4. Let g(a) = -l(a) + 4*y(a). Factor g(b).
5*b**2*(b + 5)**2*(b + 14)
Suppose -2*v - 50 = 6. Let s = v - -44. Suppose 10*k - 2 + s*k**4 - 3*k**3 + 0*k**3 + k**3 - 8*k**5 - 14*k**2 = 0. Calculate k.
-1, 1/2, 1
Let q(k) be the third derivative of -k**7/490 + k**5/20 + 3*k**4/28 - 4*k**2 + 2. Solve q(l) = 0.
-2, -1, 0, 3
Let r be 51/((-3060)/(-40))*(-45)/(-12). Suppose -2*i + 6 = 2*n, 10 = -n + 5*i - 5. Factor 0 + r*x**3 - 1/2*x**2 + n*x - 2*x**4.
-x**2*(x - 1)*(4*x - 1)/2
Suppose -150*k = -154*k + 16. Let g(s) be the first derivative of s**4 - k - 2*s**3 - s - 1/5*s**5 + 2*s**2. Factor g(a).
-(a - 1)**4
Let r(j) be the second derivative of -j**9/7560 + j**8/1680 + j**7/1260 - j**6/180 - 5*j**4/3 + 22*j. Let d(b) be the third derivative of r(b). Factor d(z).
-2*z*(z - 2)*(z - 1)*(z + 1)
Let u(x) be the second derivative of x**5/5 + 11*x**4/3 + 70*x**3/3 + 50*x**2 - 9*x. Solve u(g) = 0.
-5, -1
Let a = -16 - -19. Suppose 24*r - 10 + 29 - 10*r**a + 35*r**4 - 64*r + 1 - 105*r**2 = 0. Calculate r.
-1, 2/7, 2
Suppose 0 = 64*h - 80*h. Let i(j) be the third derivative of 0 + 1/945*j**7 + 0*j - 4*j**2 + h*j**4 + 1/135*j**5 + 1/180*j**6 + 0*j**3. Factor i(f).
2*f**2*(f + 1)*(f + 2)/9
Let l(b) = 3*b**2 - 6*b + 1. Let f be l(5). Suppose m - 3*m - 4*g = -28, f = 4*m - 2*g. Suppose -2*h - 4 - m*h**2 + 10*h**2 - 4*h = 0. Calculate h.
-2, -1
Let f(n) be the third derivative of -25/24*n**4 + 1/24*n**6 - 25*n**2 + 0*n - 5/2*n**3 - 1/12*n**5 + 0. Let f(m) = 0. Calculate m.
-1, 3
Let c = -8 + 25. Let o = c - 18. Let v(s) = 14*s**3 - 6*s**2 + 10. Let y(x) = x**3 - x**2 + 1. Let q(g) = o*v(g) + 10*y(g). Find k, given that q(k) = 0.
-1, 0
Let v(o) = -16*o**2 + 134*o + 44. Let i(d) = 33*d**2 - 267*d - 90. Let u(a) = -2*i(a) - 5*v(a). Factor u(y).
2*(y - 10)*(7*y + 2)
Solve -2/9*l**3 + 0*l - 8/9*l**2 + 0 = 0 for l.
-4, 0
Let l(t) = 9*t**2 + 13*t. Let k(a) = -5*a**2 - 7*a. Let m(j) = 9*j**3 + 2*j**2 - j. Let q be m(1). Let y(c) = q*k(c) + 6*l(c). Determine g, given that y(g) = 0.
-2, 0
Let j(s) be the first derivative of -2*s**5/35 - s**4/14 + 8*s**3/7 + 8. Suppose j(c) = 0. Calculate c.
-4, 0, 3
Let a = 56 - 31. Suppose -a*k = -21*k - 8. Factor 28/5*o + 4/5 + 49/5*o**k.
(7*o + 2)**2/5
Find n such that -224/5 - 4/5*n**2 + 228/5*n = 0.
1, 56
Let k(n) be the first derivative of n**4/108 - 2*n**2/9 + 2*n - 2. Let h(i) be the first derivative of k(i). Factor h(j).
(j - 2)*(j + 2)/9
Suppose 61*t = -8 + 191. Let d = 7 + -5. Let 2 + b - b**4 - d - 3*b**2 + t*b**3 + 0 = 0. Calculate b.
0, 1
Suppose -5*l + 6 + 17 = -p, -p = -2*l + 8. Let z(b) be the first derivative of -1/4*b**4 + 1/2*b**3 + 4 + 3/