k**3 + 31*k**2 - 4 - 36*k.
(k + 2)*(6*k - 1)*(7*k - 2)
What is l in -1/6*l**4 + 2/3*l**2 + 0*l + 0 + 0*l**3 = 0?
-2, 0, 2
Let s(q) = -6*q**2 + 2. Let c(l) = -5*l + 16. Let d be c(4). Let w(r) = 13*r**2 - 4. Let m(k) = d*w(k) - 9*s(k). Factor m(j).
2*(j - 1)*(j + 1)
Factor 0 + 3/2*t**2 + 3/2*t**4 - 15/4*t**3 + 0*t.
3*t**2*(t - 2)*(2*t - 1)/4
Let d(o) = o + 7. Suppose -41 + 25 = 4*r. Let c be d(r). Factor -1/2*a**c + 0 + a**4 - a**2 + 1/2*a.
a*(a - 1)*(a + 1)*(2*a - 1)/2
Let 216/7*g + 2/7*g**3 - 432/7 - 36/7*g**2 = 0. What is g?
6
Let h = 1 + 1. Let f = 25 + -23. Factor -5 + 3 + 3*y**2 - 3*y**2 + f*y**h.
2*(y - 1)*(y + 1)
Let t = 79/36 - 13/9. Let g(k) be the first derivative of -t*k**4 - 1/12*k**6 - 1/4*k**2 + 2/3*k**3 + 4 + 0*k + 2/5*k**5. Factor g(z).
-z*(z - 1)**4/2
Let n(g) be the second derivative of 0 + 1/15*g**4 + 4/15*g**3 - 24*g + 0*g**2. Factor n(k).
4*k*(k + 2)/5
Let w(p) be the second derivative of p**7/504 + p**6/144 - p**5/12 + p**4/2 + 2*p. Let m(j) be the third derivative of w(j). Factor m(x).
5*(x - 1)*(x + 2)
Let k(x) be the second derivative of -33*x - 2/21*x**7 + 0*x**2 - 13/12*x**4 - 6/5*x**5 - 1/3*x**3 + 0 - 17/30*x**6. Let k(v) = 0. Calculate v.
-2, -1, -1/4, 0
Let w(t) be the second derivative of -1/195*t**6 + 0*t**2 + 0 + 21*t + 2/39*t**3 + 2/65*t**5 - 5/78*t**4. Factor w(p).
-2*p*(p - 2)*(p - 1)**2/13
Let j(x) = -40*x**2 - 428*x - 140. Let c(n) = n**2 + n - 1. Let t(u) = -20*c(u) - j(u). Factor t(d).
4*(d + 20)*(5*d + 2)
Factor -6*q**2 + 0*q + 1/3*q**4 - 7/3*q**3 + 0.
q**2*(q - 9)*(q + 2)/3
Let h be (5/18)/(338/(-39) + 12). Let d(y) be the second derivative of -h*y**4 + 1/20*y**5 + 0 + 0*y**3 + y + 0*y**2. Find r such that d(r) = 0.
0, 1
Let f(u) be the third derivative of 0*u + 1/72*u**4 - 1/36*u**3 - 1/360*u**5 + 0 + 10*u**2. Factor f(v).
-(v - 1)**2/6
Factor 1/2*m**4 + 3*m**2 + 0 + 7/2*m**3 + 0*m.
m**2*(m + 1)*(m + 6)/2
Let w = 11032 - 11027. Factor 5/2*d**2 - 15/2 + w*d.
5*(d - 1)*(d + 3)/2
Let t be (21/(-22 + -41))/((-2)/12). Factor 9*m - 3/2*m**t - 15/2.
-3*(m - 5)*(m - 1)/2
Let i be (-1)/1 + -6 + (21 - 8). Let o be i - ((-104)/(-12) + -3). Let 0 + 1/3*j**4 + j**2 - o*j - j**3 = 0. Calculate j.
0, 1
Let q(d) = d**2 + 1. Let n(k) = -15*k**2 + 315*k - 324. Let j(b) = n(b) + 12*q(b). Find x, given that j(x) = 0.
1, 104
Let c(z) be the third derivative of z**7/70 + z**6/4 - 3*z**5/5 - 133*z**4/4 - 245*z**3/2 + 550*z**2 + 2. Factor c(f).
3*(f - 5)*(f + 1)*(f + 7)**2
Let i = -113/4 + 343/12. Let b(j) be the first derivative of 6 + i*j**3 + 0*j**2 + 0*j + 1/4*j**4. Let b(y) = 0. What is y?
-1, 0
Let r(h) = -13*h - 182. Let q be r(-14). Let c(b) be the first derivative of 0*b**2 + q*b + 1/16*b**4 + 6 + 0*b**3. Factor c(o).
o**3/4
Let s be (7 - 15) + 88/10. Let v(w) be the first derivative of 16/5*w - 1/10*w**4 - 12/5*w**2 + s*w**3 - 7. Determine n so that v(n) = 0.
2
Suppose -90*h**2 - 68*h - 16 + 27/2*h**4 - 27*h**3 = 0. What is h?
-2/3, 4
Let a be (-3)/((-6)/4) - 2. Suppose -2*c = -c - a*c. Factor c + 2*w**2 - 1/2*w.
w*(4*w - 1)/2
Let s(w) = 7*w**2 - 57*w + 197. Let a(j) = -8*j**2 + 56*j - 196. Let v(p) = -3*a(p) - 4*s(p). Find d, given that v(d) = 0.
5, 10
Let r(i) be the first derivative of 2*i**5/5 - i**4/2 - 14*i**3/3 + i**2 + 12*i - 25. Suppose r(u) = 0. What is u?
-2, -1, 1, 3
Factor 8 - 56*l - 1 + 13*l**2 - 25*l**2 + 1 - 18*l**2.
-2*(l + 2)*(15*l - 2)
Let x be -2 + 3/80*(-978)/(-9). Let l = -15/8 + x. Factor -l + 4/5*w - 3/5*w**2.
-(w - 1)*(3*w - 1)/5
Let x be (-2)/(-7) - (-366)/42. Solve 3*j**4 + x*j**2 + 10*j**3 + j**2 - 8*j**4 - 5*j**5 - 5*j - 5 = 0 for j.
-1, 1
Let c = -64 + 65. Suppose -c + 1 = 12*p. What is j in 1/3*j**3 - 1/3*j**4 + p - 1/3*j**5 + 1/3*j**2 + 0*j = 0?
-1, 0, 1
Let a = 64/155 - -12/31. Factor -8/5*i - 3/5*i**2 + 1/5*i**4 - a + 2/5*i**3.
(i - 2)*(i + 1)**2*(i + 2)/5
What is p in -p**5 - p - 10*p**4 - p**5 + 4*p**5 + 5*p - 14*p**2 + 18*p**3 + 0*p**5 = 0?
0, 1, 2
Suppose -2*t + 4*t - 5*v = -1, 5*t = -5*v + 85. Suppose 48 - t*d**3 - 48 - 36*d**4 + 5*d**5 + 16*d**5 = 0. Calculate d.
-2/7, 0, 2
Let s(n) be the first derivative of -1/3*n**2 + 1/18*n**4 + 0*n + 13 + 4/27*n**3. Find f such that s(f) = 0.
-3, 0, 1
Factor -27*v - 230*v**4 + 117*v**4 + 6 + 112*v**4 + 15*v**2 - 3*v**3 + 10*v.
-(v - 1)**3*(v + 6)
Suppose 4*r - 1 + 1 = 0. Suppose -5*l - 15 = 9*i - 4*i, r = -4*i - 3*l - 9. Factor -1/2*k**4 + 1/2*k**3 + 0*k + i + k**2.
-k**2*(k - 2)*(k + 1)/2
Let c(y) be the first derivative of 1/15*y**5 + 0*y + 0*y**4 + 0*y**3 + 0*y**2 - 31. Factor c(j).
j**4/3
Let k(r) = r**2 - 29*r + 14. Let i be k(28). Let y be 0 - (2/6)/(i/6). Determine j, given that -2/7*j**2 + 2/7*j**3 + 1/7 - y*j - 1/7*j**5 + 1/7*j**4 = 0.
-1, 1
Factor -2*r**3 + 12/7*r + 0 - 38/7*r**2.
-2*r*(r + 3)*(7*r - 2)/7
Suppose 23 + 101 = 72*k - 20. Suppose -18/7*p**k + 50/7 - 30/7*p - 2/7*p**3 = 0. Calculate p.
-5, 1
Let v(d) be the third derivative of -d**5/50 + 67*d**4/60 + 46*d**3/15 + 4*d**2 - 4. Find c, given that v(c) = 0.
-2/3, 23
Let o(f) = 8*f**3 + 25*f**2 - 155*f + 270. Let y(b) = 10*b**3 + 24*b**2 - 156*b + 274. Let r(s) = 6*o(s) - 5*y(s). Factor r(i).
-2*(i - 5)**3
Let y(u) = 5*u**5 - 2*u**4 + 2*u**3 + 16*u**2 - 35*u + 14. Let t(s) = -s**5 - s**4 + s**3 + s**2 - s + 1. Let n(m) = -4*t(m) - y(m). Factor n(g).
-(g - 3)**2*(g - 1)**2*(g + 2)
Suppose -5*t - 30 = -5*n, -3*t = -5*n + 19 + 3. Let m(q) = -3 - 3*q + n*q + 2. Let c(j) = 3*j**2 + 10*j + 4. Let v(d) = c(d) + 4*m(d). Factor v(k).
3*k*(k + 2)
Suppose 4*j = 2*w + 12, -4*w + 17 = -6*w + 5*j. Factor 0 + 95/6*t**w + 0*t + 175/12*t**5 + 2/3*t**2 + 17/3*t**3.
t**2*(5*t + 2)**2*(7*t + 2)/12
Let b(l) be the second derivative of l**4/90 - l**3/5 - 6*l**2 + 84*l + 1. Solve b(s) = 0 for s.
-6, 15
Let l(d) = 3*d**3 + 26*d**2 + 35*d + 8. Let w(g) = g**2 - g. Let m(o) = 3*l(o) + 6*w(o). Let m(f) = 0. What is f?
-8, -1, -1/3
Let t(b) = 2*b + 12. Let w be t(0). Factor 2*q - 10 + 1 + 3*q**2 - 8*q + w.
3*(q - 1)**2
Let x be (-9)/(-5)*(-5 - (-75)/9). Let w(l) = 10*l - 58. Let v be w(x). What is u in -4/7 + 4/7*u**v + 2/7*u - 2/7*u**3 = 0?
-1, 1, 2
Let y(n) be the first derivative of n**6 - 52*n**5/5 + 22*n**4/3 + 208*n**3/27 - 64*n**2/9 - 528. Suppose y(p) = 0. Calculate p.
-2/3, 0, 2/3, 8
Let 621*x**2 + 63*x - 1246*x**2 + 622*x**2 - 60 = 0. What is x?
1, 20
Suppose 0 = 5*j - 24*j + 3040. Suppose -8*y**2 - j*y**3 + 8*y**2 + 81*y**4 + 92*y**2 - 8*y - 5*y**4 = 0. Calculate y.
0, 2/19, 1
Determine v so that 3/5*v - 4/5*v**3 - 2/5*v**4 + 0 + 1/5*v**5 + 2/5*v**2 = 0.
-1, 0, 1, 3
Let j(t) be the second derivative of -1/30*t**4 + 0*t**2 + 2/5*t**3 - 18*t - 1/50*t**5 + 0. Let j(x) = 0. Calculate x.
-3, 0, 2
Let d(t) be the third derivative of -t**9/4032 - t**8/3360 + t**7/3360 + 3*t**3/2 - 9*t**2. Let g(s) be the first derivative of d(s). Factor g(v).
-v**3*(v + 1)*(3*v - 1)/4
Let b(a) be the second derivative of 3*a**7/98 - 13*a**6/70 + 3*a**5/10 + a**4/7 - 4*a**3/7 + 33*a. Solve b(z) = 0 for z.
-2/3, 0, 1, 2
Solve -62774*t - 3*t**2 + t**2 + 12 + 62776*t = 0 for t.
-2, 3
Factor -10/11*w + 2/11*w**2 - 28/11.
2*(w - 7)*(w + 2)/11
Factor 4/7*z**2 - 4/7 - 2/7*z**3 + 2/7*z.
-2*(z - 2)*(z - 1)*(z + 1)/7
Let g be ((-28)/(-10))/((-18)/(-90)). Suppose -g = -137*m + 130*m. Factor 4/7*l**m + 0 + 4/7*l.
4*l*(l + 1)/7
Factor 40 + 34/3*u - 2/3*u**2.
-2*(u - 20)*(u + 3)/3
Suppose 0*q - 30 = -10*q. What is p in 82*p**2 - 114*p**2 - 4*p**q - 31*p + 3*p = 0?
-7, -1, 0
Let u(j) = 8*j**3 - 21*j - 38. Let t(v) = 9*v**3 - 18*v - 36. Let b(o) = 5*t(o) - 6*u(o). Determine x, given that b(x) = 0.
-2, 4
Let n(i) be the third derivative of i**8/84 - 6*i**7/35 + 13*i**6/15 - 4*i**5/3 - 4*i**4 + 64*i**3/3 - 3*i**2 + 59. Let n(t) = 0. Calculate t.
-1, 2, 4
Solve 18/5*b**3 + 0 + 16/5*b**2 + 2/5*b**4 + 0*b = 0 for b.
-8, -1, 0
Suppose 7*j - 5*j = 6, -2*a + j - 3 = 0. Factor -4/7*t - 1/7*t**4 + 0 + a*t**2 + 3/7*t**3.
-t*(t - 2)**2*(t + 1)/7
Find b, given that -5*b + 14*b**2 - 4*b + b - 10*b**2 - 12 = 0.
-1, 3
Factor 8*s**3 + 4 + 4/3*s**4 + 16*s**2 + 40/3*s.
4*(s + 1)**3*(s + 3)/3
Let w = -2118 + 2120. Suppose -j + 5*d - 6 = 0, 3*d = 4 + 2. Determine a so that -12*a**3 - j*a**4 - 72*a + 84*a + 7*a**w - 3*a**2 = 0.
-3, -1, 0, 1
Let v(z) = 8*z**3 + 2*z**2 - 4*z + 4. Let p be v(2). Let t = p + -68. Factor t*l + 0 + 1/5*l**2 + 3/5*l**