 0*o. Solve k(r) = 0.
-1, 0, 1, 2
Let v(o) be the first derivative of o**5/70 + o**4/21 - 8*o**3/21 + 204*o + 80. Let h(p) be the first derivative of v(p). Factor h(g).
2*g*(g - 2)*(g + 4)/7
What is k in -2/7*k**5 + 0*k**2 + 0 - 124/7*k**3 - 18*k**4 + 0*k = 0?
-62, -1, 0
Suppose -4*r + d - 4*d = 6191, d + 4637 = -3*r. Let g = 10809/7 + r. Factor 5/7*t + 3/7*t**2 + 2/7 - 1/7*t**3 - g*t**4.
-(t - 2)*(t + 1)**3/7
Let v be (-48618)/4440 - (-3 + -8). Let c(j) be the second derivative of 0*j**2 + 0 - 25*j + 5/36*j**4 - v*j**5 + 1/9*j**3. Factor c(w).
-w*(w - 2)*(3*w + 1)/3
Let w(s) be the third derivative of s**6/40 + s**5/10 - 10*s**4 - 761*s**2. Determine d so that w(d) = 0.
-10, 0, 8
Let z(c) be the second derivative of c**6/120 - 17*c**5/80 + 17*c**4/12 - 25*c**3/6 + 6*c**2 + 12029*c. Factor z(v).
(v - 12)*(v - 2)**2*(v - 1)/4
Let y(j) be the first derivative of -j**6 - 39*j**5/2 + 2211*j**4/16 - 311*j**3 + 2313*j**2/8 - 189*j/2 + 3463. Suppose y(q) = 0. What is q?
-21, 1/4, 1, 3/2, 2
Factor 106722/5 - 55209/10*g + 233/5*g**2 - 1/10*g**3.
-(g - 231)**2*(g - 4)/10
Let f(b) be the second derivative of -3/20*b**5 + 2*b**3 + 20*b**2 + 1/30*b**6 + 5 - 7*b - 7/6*b**4. Factor f(v).
(v - 5)*(v - 2)*(v + 2)**2
Suppose -19*v = 21*v - 960. Let u be 7 + 6 + (-88)/v. Let 32/3*x - u*x**2 + 64/3 + 4/3*x**3 = 0. What is x?
-1, 4
Let t(d) be the second derivative of -5*d**4/12 - 935*d**3/3 - 2581*d. Factor t(s).
-5*s*(s + 374)
Factor 1792*s**3 - 20942*s**2 + 997920 - 14229716 + 13498208*s - 4*s**4 - 247258*s**2.
-4*(s - 149)**3*(s - 1)
Suppose 116*j = 128*j - 300. Let y be (-4)/(-6)*(31 - j). Determine d, given that 0 - 1/4*d - 3/4*d**3 - 1/4*d**y - 3/4*d**2 = 0.
-1, 0
Let n(z) = 39*z**2 + 394*z - 4560. Let t(f) = 25*f**2 + 265*f - 3040. Let r(y) = 5*n(y) - 8*t(y). Solve r(o) = 0.
-38, 8
Factor 31/2*v - 16 + 1/2*v**2.
(v - 1)*(v + 32)/2
Factor 521/5*f + 0 + 104*f**2 - 1/5*f**3.
-f*(f - 521)*(f + 1)/5
Let v = -57 - -29. Let y = v - -31. Determine t so that -6*t**3 + 2*t**5 + t**4 - y*t**4 + t**5 - t**4 = 0.
-1, 0, 2
Let g(y) be the first derivative of -y**8/1680 + y**7/105 - 17*y**6/360 + y**5/12 - 163*y**3/3 + 301. Let b(s) be the third derivative of g(s). Solve b(w) = 0.
0, 1, 2, 5
Let u(x) be the second derivative of 0 - 1/273*x**7 - 2/39*x**4 + 0*x**2 + 132*x + 0*x**5 + 0*x**3 + 1/65*x**6. Factor u(i).
-2*i**2*(i - 2)**2*(i + 1)/13
Find x such that 1840/3 + 1838/3*x - 2/3*x**2 = 0.
-1, 920
Let a(x) = 25*x**2 - 83*x + 1479. Let c(i) = -67*i**2 + 250*i - 4440. Let j(y) = 8*a(y) + 3*c(y). Factor j(t).
-(t - 62)*(t - 24)
Let a(i) be the second derivative of -7*i**4/24 - 31*i**3/9 + i**2 + 3*i - 717. Let a(p) = 0. What is p?
-6, 2/21
Determine l, given that -145/7*l**4 - 1/7*l**5 - 13850/7*l**2 - 25205/7 + 44659/7*l - 5458/7*l**3 = 0.
-71, -5, 1
Let p(i) be the second derivative of -i**5/240 - i**4/32 + 3*i**3/4 + 75*i**2 + 16*i. Let x(n) be the first derivative of p(n). Solve x(q) = 0.
-6, 3
Let a(r) be the first derivative of -55 + 3/5*r**2 + 2/15*r**3 - 36/5*r. Factor a(c).
2*(c - 3)*(c + 6)/5
Let i(b) be the first derivative of -b**5/40 - b**4/4 + 7*b**3/12 - 155*b + 124. Let n(r) be the first derivative of i(r). Factor n(s).
-s*(s - 1)*(s + 7)/2
Let n(t) = -3*t**2 - t + 29. Let q be n(6). Let u = -73 - q. Find y, given that -2*y**2 + u*y - 1 - y + 5*y - 13 = 0.
1, 7
Suppose -t + 3*t - 3*x = 54, 3*x = 3*t - 54. Factor t*y + 0 - 25/4*y**4 - 5/2*y**2 - 55/4*y**3.
-5*y**2*(y + 2)*(5*y + 1)/4
Let v(b) be the second derivative of 0*b**3 - 1 + 0*b**4 + 0*b**2 - 1/42*b**7 - 34*b - 1/10*b**5 - 1/10*b**6. Factor v(y).
-y**3*(y + 1)*(y + 2)
Determine z so that -1540 + 5/3*z**4 + 1135/3*z**2 + 200/3*z**3 - 800/3*z = 0.
-33, -7, -2, 2
Let 8/13 + 160/13*y + 6*y**2 = 0. What is y?
-2, -2/39
Let b = -22 - -23. Let a be (-25)/(-3 + 1 + 0 + b). Find d such that 4 - 3*d - d**2 - d - a*d**3 + 16*d**3 + 10*d**3 = 0.
-2, 1, 2
Let a(n) = 5*n**3 + 21*n**2 + 67*n + 18. Let v(k) = 6*k**3 + 20*k**2 + 66*k + 24. Let g(s) = 4*a(s) - 3*v(s). Factor g(b).
2*b*(b + 5)*(b + 7)
Let x(t) = -7*t**2 + 6*t + 7. Let z(d) = -d**2 + 42*d - 111. Let r be z(3). Let f = -2 + 3. Let l(i) = i**2 - i - 1. Let a(b) = f*x(b) + r*l(b). Factor a(n).
-(n - 1)*(n + 1)
Let c(m) be the second derivative of m**4/3 + 70*m**3/3 - 312*m**2 + 2583*m. Determine v so that c(v) = 0.
-39, 4
Determine p so that -p**4 - 31/3*p**2 + 2 - 23/3*p**3 - 5/3*p = 0.
-6, -1, 1/3
Let g = 169699/254544 + -1/84848. Factor 1/3*w + g*w**2 - 2/3 - 1/3*w**3.
-(w - 2)*(w - 1)*(w + 1)/3
Factor -9/2*c**2 + 48 - 1/2*c**3 + 2*c.
-(c - 3)*(c + 4)*(c + 8)/2
Let t = 282929/5 + -56585. Factor 8/5 + t*p + 1/5*p**4 - 1/5*p**3 - 6/5*p**2.
(p - 2)**2*(p + 1)*(p + 2)/5
Let i(j) be the second derivative of -j**4/4 + 1155*j**3 - 4002075*j**2/2 - 2*j - 2214. Factor i(b).
-3*(b - 1155)**2
Let c(i) = i**2 + 7*i + 2. Let r be c(0). Suppose -u**3 + 2*u**4 + 6*u**2 - 4*u**4 + 5*u**2 + 4*u - 3*u**r = 0. What is u?
-2, -1/2, 0, 2
Let o(q) be the second derivative of -7/5*q**2 - 75*q + 0 + 8/15*q**3 - 1/30*q**4. Factor o(y).
-2*(y - 7)*(y - 1)/5
Let j(c) = -2*c**2 + 28*c + 8. Suppose -u - 6 = -3, -36 = -3*a - 2*u. Let p be j(a). Let -4*i - p - 1/2*i**2 = 0. Calculate i.
-4
Let r(i) = 146*i**3 + 10399*i**2 - 5944*i + 684. Let x(p) = 583*p**3 + 41592*p**2 - 23777*p + 2732. Let j(a) = 17*r(a) - 4*x(a). Suppose j(f) = 0. Calculate f.
-70, 1/6, 2/5
Let m = -36 + 41. Suppose -72 = -m*g - 2. Factor 4*v**5 + 13*v**3 + 2*v**3 + g*v**2 + 17*v**3 + 20*v**4 + 2*v**2.
4*v**2*(v + 1)*(v + 2)**2
Let k(a) = 8*a**3 + 247*a**2 - 18*a + 9. Let c(x) = -x**3 - 2*x**2 + 2*x - 1. Let q(u) = -9*c(u) - k(u). Suppose q(g) = 0. What is g?
0, 229
Suppose -89*f + 93*f = 80. Suppose f*x = 15*x + 15. What is m in -1/6*m**x + 0*m - 1/3*m**4 + 1/6*m**2 + 0 = 0?
-1, 0, 1/2
Let f be (2964/(-156) - (3/(-1))/(9/24)) + 11. Let f - 3/2*k**3 - 3/2*k**2 + 3*k = 0. What is k?
-2, 0, 1
Suppose 39*s**4 + 79*s**2 + 0*s**2 + 22*s - 34*s - 123*s**3 + 17*s**2 = 0. What is s?
0, 2/13, 1, 2
Let o(l) be the second derivative of 36*l**2 + 0 + 1/6*l**4 - 4*l + 4*l**3. Factor o(n).
2*(n + 6)**2
Let j be 3/(-12) + 55896/96. Let p be ((-1)/(-15))/(97/j). Find k such that 2/5*k - 2*k**2 - p*k**3 + 0 + 2*k**4 = 0.
-1, 0, 1/5, 1
Let b(j) be the second derivative of 0*j**3 + 2/21*j**7 - 36*j + 0*j**2 + j**5 - 8/15*j**6 + 0 - 2/3*j**4. Let b(l) = 0. What is l?
0, 1, 2
Let s(w) be the first derivative of w**4/30 + 2*w**3 + 45*w**2 + 36*w - 62. Let g(f) be the first derivative of s(f). Factor g(h).
2*(h + 15)**2/5
Let l(f) = -5*f**2 + 42*f - 6. Let p(u) be the first derivative of -u**3/3 - u - 43. Let q(a) = l(a) - 6*p(a). Factor q(y).
y*(y + 42)
Let y(u) be the third derivative of 0*u + 0*u**3 + 1/120*u**6 - 1/30*u**5 + 0 - 52*u**2 + 1/24*u**4. Factor y(b).
b*(b - 1)**2
Let w(t) = 36*t + 6 - 80*t + 40*t - t**2 + 2*t**2. Let f be w(2). Factor 2/5*s**f + 4/15*s**3 - 8/15*s - 8/15 - 2/15*s**4.
-2*(s - 2)**2*(s + 1)**2/15
Let f(x) = 10*x**2 - 42*x. Let k be f(5). Factor -55*s**2 - 18*s**3 - 27*s**3 + k*s**3 - 37*s - 53*s.
-5*s*(s + 2)*(s + 9)
Let q = -235 - -225. Let x be 2*((-9)/(-4))/((-15)/q). Let 0 - 3/7*w**x + 1/7*w**4 + 3/7*w**2 - 1/7*w = 0. What is w?
0, 1
Find m such that 2930/3*m**2 - 80/3*m**3 - 1805/3*m + 60 = 0.
1/8, 1/2, 36
Let x(f) = -f**2 - f - 14. Let o(d) be the second derivative of d**4/3 + d**3/2 + 43*d**2/2 + 44*d. Let m(y) = -2*o(y) - 7*x(y). Factor m(r).
-(r - 4)*(r + 3)
Let y(n) = 13*n**3 - 12*n**3 + 22*n - 2 - 18*n**2 - 4*n. Let o be y(17). Factor 870*b**4 - 12*b**3 + 2*b - 867*b**4 - 5*b - 3*b + o*b**2.
3*b*(b - 2)*(b - 1)**2
Let h(n) be the first derivative of -51 + 141*n**4 + 828/5*n**3 + 513/5*n**2 + 58*n**5 + 162/5*n + 25/3*n**6. Let h(b) = 0. Calculate b.
-3, -1, -3/5
Let z(s) = 7*s + 7*s**2 + 13 - 1 - 4 + s**3. Let w be z(-6). Factor -2*u**2 + u**3 - 3*u**3 - w*u + 6*u**2.
-2*u*(u - 1)**2
Let k(s) be the second derivative of -11/30*s**4 - 4/5*s**3 - 58*s + 0*s**2 + 0 + 1/50*s**5. Factor k(l).
2*l*(l - 12)*(l + 1)/5
Let n(a) be the first derivative of 0*a**2 + 0*a - 41 + 1/3*a**3 - 1/4*a**4 + 1/6*a**6 - 1/5*a**5. Factor n(s).
s**2*(s - 1)**2*(s + 1)
Let a be 1155/77 - (-149)/(-10). Factor a*j**2 - 7/5 - 1/2*j.
(j - 7)*(j + 2)/10
Let z(a) be the second derivative of 4*a**7/27 + 2*a**6/9 - 41*a**