 1/3*f**3 + 0*f - 5/3*f**2 + 0.
f**2*(f - 5)/3
Let d = 22 + -23. Let i(v) = -3*v**3 + 7*v**2 - 10*v + 5. Let r(o) = -o**3 - o**2 + 1. Let b(t) = d*r(t) + i(t). Find u, given that b(u) = 0.
1, 2
Suppose -2*n**2 - 25*n**3 + 0*n**2 - 3*n + 26*n**3 = 0. What is n?
-1, 0, 3
Factor -4*a**4 + a**4 + 5456*a**3 - 5438*a**3.
-3*a**3*(a - 6)
Let w(z) be the first derivative of z**5/15 + 5*z**4/6 - 4*z**3 + z**2 - 30. Let c(o) be the second derivative of w(o). Factor c(x).
4*(x - 1)*(x + 6)
Solve 0 + 0*q - 90*q**2 - 3/2*q**3 = 0 for q.
-60, 0
Let m(d) be the second derivative of 0*d**3 - 1/24*d**4 + 0 + 0*d**2 - 30*d - 1/40*d**5. Let m(v) = 0. What is v?
-1, 0
Let v(j) be the first derivative of j**6/165 - 3*j**5/110 + j**4/22 - j**3/33 + 7*j + 1. Let y(g) be the first derivative of v(g). Solve y(x) = 0 for x.
0, 1
Let s(n) be the first derivative of n**7/56 - 17*n**6/120 + 3*n**5/20 - 4*n**3 - 14. Let z(w) be the third derivative of s(w). Factor z(d).
3*d*(d - 3)*(5*d - 2)
Let a(v) be the first derivative of v**4 - 160*v**3 + 9600*v**2 - 256000*v + 191. What is p in a(p) = 0?
40
Let l be (-2 - (2 + 0))/1. Let d be l/16 + 8/32. Factor 2/15*n**2 + d + 0*n.
2*n**2/15
Let t(h) = -7*h**4 + 57*h**3 + 9*h**2 - 177*h + 114. Let q(y) = -2*y**4. Let n(x) = 2*q(x) - t(x). Factor n(f).
3*(f - 19)*(f - 1)**2*(f + 2)
Suppose -4*a = 4*s - 44, -5*s - 9 = 1. Factor -2*f**2 + 3 + 2 - 10*f - a.
-2*(f + 1)*(f + 4)
Let a(h) be the second derivative of h**6/105 - h**5/14 + h**4/7 + 24*h. Factor a(w).
2*w**2*(w - 3)*(w - 2)/7
Let s(j) be the second derivative of -2*j**6/15 + 6*j**5 + 33*j**4 + 8*j**3/3 - 264*j**2 - 64*j. Factor s(w).
-4*(w - 33)*(w - 1)*(w + 2)**2
Let w(i) = 4*i**3 + i**2 - 11*i + 10. Let z be w(1). Solve 2*h**3 - 2/3*h**z - 2*h + 4/3 - 2/3*h**2 = 0.
-1, 1, 2
Let p(q) be the first derivative of q**8/1680 + q**7/168 + q**6/45 + q**5/30 + q**3/3 - 16. Let b(x) be the third derivative of p(x). Factor b(n).
n*(n + 1)*(n + 2)**2
Let n(a) = -2*a**4 - 11*a**3 + 25*a**2 - 18*a. Let x(d) = -2*d**4 - 10*d**3 + 24*d**2 - 16*d. Let c(q) = 2*n(q) - 3*x(q). Solve c(h) = 0 for h.
-6, 0, 1
Let i(m) be the first derivative of -m**5/4 - 5*m**4/8 + 5*m**2/4 + 5*m/4 - 414. Factor i(v).
-5*(v - 1)*(v + 1)**3/4
Solve -865 - 24*r**2 + 841 + 2*r**3 + 3*r + 2*r**3 + 41*r = 0.
1, 2, 3
Let r(s) be the third derivative of -s**6/180 + s**5/90 + s**4/36 - s**3/9 + 38*s**2. Find a, given that r(a) = 0.
-1, 1
Suppose -b = -0*y - 4*y + 35, 2*y - 3*b = 25. Suppose -v = 2*x + 8, y = -4*x - 12. Factor 2*d**4 - d**v - 1/2*d**5 + 5/2*d - 1 - 2*d**3.
-(d - 2)*(d - 1)**3*(d + 1)/2
Let c = -459/22 - -3301/154. What is p in -c + 2/7*p**2 + 2/7*p = 0?
-2, 1
Solve -684 - 131*m + 85*m**3 - 52*m**2 - 289*m - 81*m**3 = 0 for m.
-3, 19
Let y be (-12)/4*16/3. Let u = 22 + y. Factor -u*r + 2*r + 2 + r**2 + r.
(r - 2)*(r - 1)
Let f(u) be the third derivative of -u**9/7560 - u**8/1680 - u**7/1260 - 3*u**4/8 - 9*u**2. Let b(n) be the second derivative of f(n). Factor b(z).
-2*z**2*(z + 1)**2
Suppose 2*g = -0*g - c + 584, 0 = 4*g - 4*c - 1156. Let v = -1449/5 + g. Factor v - 4*m + 14/5*m**2.
2*(m - 1)*(7*m - 3)/5
Suppose 0*k + 213 = 3*v - k, 0 = 4*k - 12. Let u = v + -32. Find m such that -46*m**4 + m**5 + 5*m**5 - 104*m**2 - u*m**2 + 32 + 9*m + 128*m**3 + 23*m = 0.
-1/3, 2
Let g(f) = 3*f**4 + 15*f**3 - 15*f**2 + 9. Let k(y) = 2*y**3 + 3*y - 1. Let q(r) = -g(r) + 3*k(r). Let q(i) = 0. Calculate i.
-4, -1, 1
Let x = -13 - -26. Let k = -8 + x. Factor -k + 5*h**4 + 6*h**3 + h**2 - 3*h**4 + 1 + h**2 - 6*h.
2*(h - 1)*(h + 1)**2*(h + 2)
Let o(s) be the third derivative of 4*s**7/105 + 7*s**6/30 - 4*s**5/5 - 14*s**4/3 + 32*s**3/3 - 321*s**2 + s. Solve o(v) = 0.
-4, -2, 1/2, 2
Suppose -3*a + 4*a = -4*s + 8, s = 2*a + 2. Let r = 52 + -52. What is y in -2/7*y**3 + r*y + a - 2/7*y**2 = 0?
-1, 0
Factor 384 + 2/3*a**2 + 32*a.
2*(a + 24)**2/3
Let h = -233 - -249. Let n be (-4)/h + ((-495)/(-20))/11. Determine w, given that 0*w + 0 - 2/7*w**4 - 4/7*w**3 + 6/7*w**n = 0.
-3, 0, 1
Let p(j) = -j**2. Let h(y) = 2*y**3 - 16*y**2 + 12*y. Let n(c) = h(c) - 2*p(c). Factor n(z).
2*z*(z - 6)*(z - 1)
Let z be ((-170)/(-68))/(13 - 3) + (-1)/20. Factor -z*l**4 + 0*l**2 + 0*l + 0 - 2/5*l**3.
-l**3*(l + 2)/5
Determine k, given that 0 - 5/8*k**2 + 1/2*k + 1/8*k**3 = 0.
0, 1, 4
Suppose -4*c + 20 = -3*b, -20 + 0 = -2*b - 4*c. Suppose -6 = -3*i - b. Factor 15*y**5 - 20*y**3 + y - 20*y**4 - 11 + 30*y**i + 1 + 4*y.
5*(y - 1)**3*(y + 1)*(3*y + 2)
Let h(o) = -o**2 - 2*o + 9. Let b be h(0). Let z be (-2)/b + (-60)/(-27). What is r in -4/9 + 2/9*r + 2/9*r**z = 0?
-2, 1
Factor -29*r - 12*r + 21*r + 8*r**3 - 2*r**4 + 14*r**2.
-2*r*(r - 5)*(r - 1)*(r + 2)
Suppose -21*t - 3/4*t**5 + 33/8*t**4 - 147/8*t**2 + 3/2*t**3 - 6 = 0. Calculate t.
-1, -1/2, 4
Let k(a) be the third derivative of 6*a**2 + 4/3*a**3 + 0 + 1/140*a**5 + 0*a - 1/42*a**4 - 1/1260*a**6. Let i(s) be the first derivative of k(s). Factor i(q).
-2*(q - 2)*(q - 1)/7
Let o(n) = -n**3 + 4*n**2 - 5*n + 9. Let g be o(3). Let m(t) be the second derivative of 6*t**2 + 11/4*t**4 - 9/20*t**5 - t + 0 - 6*t**g. Factor m(h).
-3*(h - 2)*(h - 1)*(3*h - 2)
Suppose 8*a - 6*a + 28 = -3*l, -4*a = -3*l - 16. Let d be 7/l + 5/4. Factor 0*h + d*h**2 - 3/2.
3*(h - 2)*(h + 2)/8
Let d(x) be the first derivative of -10 + 2*x**2 - 4/3*x**3 + 48*x. Factor d(l).
-4*(l - 4)*(l + 3)
Let z(s) = 8*s**5 + 124*s**4 + 130*s**3 - 250*s**2. Let i(j) = 2*j**5 - j**3 + j**2. Let m(c) = 6*i(c) - z(c). Solve m(v) = 0.
-2, 0, 1, 32
Let y(p) be the third derivative of p**8/2520 + 2*p**7/1575 - p**6/300 - 2*p**5/225 + p**4/45 - 203*p**2. What is a in y(a) = 0?
-2, 0, 1
Let p be 1/4 - (-273)/156. Factor 3 - p - 16 - 27*m - 17*m**2 + 5*m**2.
-3*(m + 1)*(4*m + 5)
Let f = 76 - 73. Factor 3*t**2 + t**3 - 112*t**5 + 115*t**5 + 9*t**4 + 8*t**f.
3*t**2*(t + 1)**3
Let v(q) be the first derivative of q**4/12 - 5*q**3/3 + 8*q**2 - 44*q/3 - 251. Let v(p) = 0. What is p?
2, 11
Let x(a) be the third derivative of -1/360*a**6 - 1/36*a**5 - 1/6*a**3 - 7/72*a**4 - 17*a**2 + 0*a + 0. Factor x(d).
-(d + 1)**2*(d + 3)/3
Let s = 34 - 31. Suppose -3*x = -3*q + 9, -q - 5 = -2*q + 3*x. What is t in -8*t**4 + 0*t**4 - q*t**s + 9*t**4 = 0?
0, 2
Let l(v) = v**3 + 18*v**2 - 30*v - 209. Let r be l(-19). Factor 11/3*s**3 + r*s - 2/3*s**2 + 0.
s**2*(11*s - 2)/3
Let k(i) be the second derivative of -i**4/3 - 88*i**3/3 - 86*i**2 - 444*i. Let k(c) = 0. Calculate c.
-43, -1
Let q(u) be the third derivative of u**6/840 + u**5/210 - u**4/21 + 134*u**2. What is p in q(p) = 0?
-4, 0, 2
Let v be (-40)/(-6) + -10 - -4. Let g(u) be the third derivative of 4/15*u**5 + 0 + 0*u + 0*u**3 - v*u**4 + 1/10*u**6 - 5*u**2. Factor g(l).
4*l*(l + 2)*(3*l - 2)
Suppose 5 = -11*r + 12*r. Solve 39*w**3 - 16*w**3 - w**r - 19*w**3 + 0*w**5 = 0 for w.
-2, 0, 2
Let f(l) be the first derivative of -4*l**5/5 + l**4/2 + 10*l**3/3 + 2*l**2 + 46. Solve f(d) = 0 for d.
-1, -1/2, 0, 2
Let r = 2/267 + 2929/1068. Factor -1/4*l**3 + l**2 + r*l + 3/2.
-(l - 6)*(l + 1)**2/4
Let f(r) be the first derivative of -2*r**5/5 + 3*r**4 - 8*r**3 + 8*r**2 - 245. Factor f(b).
-2*b*(b - 2)**3
Let x = 224759/8 - 28094. Determine k, given that 3/4*k - 3/4*k**3 - x*k**2 - 1/8*k**4 + 1 = 0.
-4, -2, -1, 1
Find q, given that 21/2*q - 1/2*q**2 + 11 = 0.
-1, 22
Suppose 31 = -37*p + 31. Factor 0*k**2 + 0*k + 3/2*k**4 + p + 0*k**3.
3*k**4/2
Let b(k) be the second derivative of -7*k**6/165 + 34*k**5/55 + 97*k**4/66 + 2*k**3/3 - 9*k + 48. What is d in b(d) = 0?
-1, -2/7, 0, 11
Let w(m) = 4*m - 2. Let o(x) = 5*x - 4. Let q be o(2). Let b be w(q). Solve -b*i - 3*i**3 - 14*i + 18*i**2 + 11 + 13 = 0.
2
Let c(i) = 43*i**3 - 599*i**2 - 750*i - 101. Let p(l) = -21*l**3 + 300*l**2 + 375*l + 51. Let t(k) = -3*c(k) - 7*p(k). Suppose t(f) = 0. Calculate f.
-1, -1/6, 18
Suppose -g + d = -4*d + 8, 0 = -g - 3*d + 8. Determine n, given that 24*n**4 - 96*n**3 - 4*n**5 - 16*n + 2*n**5 - 5*n**5 - 68*n**4 - 80*n**g = 0.
-2, -2/7, 0
Let r(d) = -48*d**2 - 89*d - 14. Let b(o) = -190*o**2 - 355*o - 55. Let f(g) = -4*b(g) + 15*r(g). Factor f(u).
5*(u + 2)*(8*u + 1)
Let g = -20 - -20. Let u(d) be the second derivative of -3/20*d**5 + 5*d + 0 + 1/2*d**3 - 1/4*d**4 + 1/10*d**6 + g*d**2. Factor u(m).
3*m*(m - 1)**2*(m + 1)
Let 3*v**2 - 8*v + 24*v + 17*v + 3