 of -4/3*v**4 - 4*v**2 - 3*v + 0 + 10/3*v**3 + 1/5*v**5. Let h(o) = 0. What is o?
1, 2
Let a(m) = -770*m**3 - 140*m**2 + 2750*m + 560. Let s(l) = -55*l**3 - 10*l**2 + 196*l + 40. Let w(u) = 4*a(u) - 55*s(u). What is f in w(f) = 0?
-2, -2/11, 2
Let 1/5*q**2 - 42/5*q + 441/5 = 0. Calculate q.
21
Let k(i) be the first derivative of 3*i**5/5 - 57*i**4/2 + 468*i**3 - 2535*i**2 - 6591*i + 10. Factor k(c).
3*(c - 13)**3*(c + 1)
Let i(f) be the first derivative of f**6/120 - f**5/20 + f**4/8 - 16*f**3/3 - 12. Let j(p) be the third derivative of i(p). Factor j(y).
3*(y - 1)**2
Factor 2*v - 10*v**5 + 24*v**5 - 4*v**3 - 7*v**5 - 5*v**5.
2*v*(v - 1)**2*(v + 1)**2
Let x(y) be the second derivative of y**7/13860 - 23*y**4/12 - 14*y. Let f(z) be the third derivative of x(z). Factor f(n).
2*n**2/11
Suppose -45 = -46*x + 31*x. Let o(d) be the second derivative of -1/3*d**2 + 0 - 4/9*d**4 - 5*d + 1/2*d**x + 1/126*d**7 + 7/30*d**5 - 1/15*d**6. Factor o(c).
(c - 2)*(c - 1)**4/3
Let u(r) = -114*r**3 - 133*r**2 - 5*r + 7. Let j(s) = 76*s**3 + 89*s**2 + 3*s - 5. Let d(g) = -7*j(g) - 5*u(g). Factor d(a).
2*a*(a + 1)*(19*a + 2)
Suppose -596/5*u**2 - 42/5*u**4 - 162/5 + 522/5*u + 276/5*u**3 + 2/5*u**5 = 0. Calculate u.
1, 9
Let n(s) be the second derivative of 0 - 4/3*s**3 + 0*s**2 + 1/3*s**4 + 5*s. Factor n(k).
4*k*(k - 2)
Suppose -11*a + 14 = -85. Let q be (21/a - -3) + -5. Let 0 + 0*x - q*x**3 + 1/3*x**2 = 0. What is x?
0, 1
Solve -1024/3*y + 128*y**2 + 2/3*y**4 + 0 - 16*y**3 = 0.
0, 8
Let d(g) be the third derivative of 0 - 23/72*g**4 + 0*g - 1/3*g**3 + 25*g**2 - 7/180*g**5. Factor d(i).
-(i + 3)*(7*i + 2)/3
Let d = 2/511 - -2034/2555. Factor 2/5*m**4 + 0 + 2*m**2 - d*m - 8/5*m**3.
2*m*(m - 2)*(m - 1)**2/5
Suppose -88*d - 104 = -101*d. Factor 8/17 + 34*y**2 + d*y.
2*(17*y + 2)**2/17
Let x = 2842 + -5683/2. Determine d, given that x*d**2 + 1/4*d**5 - 1/4*d**3 + 0*d - 1/2*d**4 + 0 = 0.
-1, 0, 1, 2
Let r(j) be the first derivative of -1/18*j**4 + 0*j + 1/90*j**5 - 11 - 1/3*j**3 + 9/2*j**2. Let l(x) be the second derivative of r(x). Factor l(b).
2*(b - 3)*(b + 1)/3
Find j such that -4*j**4 + 0*j**3 + 18*j - 6 + 13*j**2 + 7*j**3 - 37*j + 9*j**2 = 0.
-2, -1/4, 1, 3
Let u(g) be the first derivative of -3*g**4/16 - 5*g**3/2 + 69*g**2/8 - 9*g - 120. Let u(x) = 0. Calculate x.
-12, 1
Let w(v) be the first derivative of -v**6/3 - 2*v**5/35 + 3*v**4/7 - 44. Factor w(k).
-2*k**3*(k + 1)*(7*k - 6)/7
Let d(c) be the second derivative of 2*c**7/21 - 8*c**6/15 + 2*c**5/5 + 4*c**4/3 - 2*c**3 + 167*c. Solve d(t) = 0 for t.
-1, 0, 1, 3
Let p(q) = -4*q**4 + 4*q**3 - 15*q**2 + 20*q - 5. Let v(x) = -5*x**4 + 3*x**3 - 14*x**2 + 20*x - 4. Let h(o) = 4*p(o) - 3*v(o). Solve h(t) = 0.
1, 2
Let v(l) be the second derivative of -l**6/135 + l**5/45 + 13*l**4/54 + 10*l**3/27 - 19*l - 3. Let v(x) = 0. What is x?
-2, -1, 0, 5
Let 2/13*x**2 + 0 - 10/13*x + 10/13*x**3 - 2/13*x**4 = 0. Calculate x.
-1, 0, 1, 5
Suppose 2*t = -z - 4 + 15, -t = -5*z + 22. Let w(u) be the first derivative of 3/16*u**4 + 9/2*u**2 + 6*u + z + 3/2*u**3. Suppose w(h) = 0. What is h?
-2
Let -337357*v**2 - 11*v**5 + 50445*v**2 - 25346*v**3 - 268288*v - v**5 + 2*v**5 + 2*v**5 - 776*v**4 - 65536 = 0. Calculate v.
-32, -1/2
Let d(l) be the second derivative of -l**4/3 - 140*l**3/3 - 2450*l**2 + 38*l - 1. What is b in d(b) = 0?
-35
Factor 5/2*i - 1/2*i**3 - 1 + 1/2*i**4 - 3/2*i**2.
(i - 1)**3*(i + 2)/2
Let u = 933/506 - -49/46. Determine p, given that u*p + 2/11*p**2 + 128/11 = 0.
-8
Let b(y) be the third derivative of -1/48*y**4 - 18*y**2 - 1/6*y**3 + 0*y + 0 + 1/120*y**5. Find g, given that b(g) = 0.
-1, 2
Let z be 1 - ((4 - 8) + 0). Solve -z*a**3 + 238*a + 38*a**2 - 1453*a + 3707 - 62 + 97*a**2 = 0.
9
Let s be (64/(-8))/(25 + -35). Factor 0 - 1/5*r**3 + 0*r - s*r**2.
-r**2*(r + 4)/5
Let y = 21 - 6. Let -5*b**3 + 22*b**2 - 19*b**2 - 38*b**2 + 4 + y*b**4 + 16 + 5*b**5 = 0. What is b?
-2, -1, 1
Let m(f) = f**3 - 16*f**2 + 59*f + 42. Let r be m(8). Factor 1/5*i**r + 1/5*i - 1/5*i**3 - 1/5.
-(i - 1)**2*(i + 1)/5
Let j(k) be the third derivative of 0*k - 22*k**2 + 0 + 1/240*k**5 + 0*k**4 + 0*k**3. Factor j(h).
h**2/4
Let v be (-236)/15 + -1*4/(-10). Let y = 140/9 + v. Factor y*a**2 - 2/9*a - 2/9 + 2/9*a**3.
2*(a - 1)*(a + 1)**2/9
Suppose 0 = -4*k + 3*l + 5 - 2, -5*k + 2*l = -2. Suppose 6 = 4*o - 2*o. Factor -3*d + 3/2*d**2 + k + 3/2*d**o.
3*d*(d - 1)*(d + 2)/2
Let r(a) = 2*a**2 - 11*a - 9. Let n(m) = -10*m**2 + 56*m + 44. Let i(u) = 2*n(u) + 11*r(u). Factor i(y).
(y + 1)*(2*y - 11)
What is m in 21/2*m**3 + 5*m**2 - 9/4*m**4 - 13/2*m + 5/4 = 0?
-1, 1/3, 5
Let x(r) be the first derivative of 2*r**3/21 + 146*r**2/7 + 10658*r/7 - 216. Factor x(z).
2*(z + 73)**2/7
Suppose 0 = -15*w + 2160 - 2130. Let 2/7*l**5 + 0 - 2*l**4 + 16/7*l - 40/7*l**w + 36/7*l**3 = 0. What is l?
0, 1, 2
Let i(x) be the second derivative of x**5/10 - x**4/14 - 4*x**3/21 - 130*x. Factor i(h).
2*h*(h - 1)*(7*h + 4)/7
Let m(j) = j**5 + 5*j**4 - 7*j**3 - j**2 + 8*j - 2. Let v(d) = -6*d**3 + 4*d + 0 + 10*d**4 + 5*d - 4*d**4 - 3. Let q(k) = 3*m(k) - 2*v(k). Factor q(z).
3*z*(z - 1)**2*(z + 1)*(z + 2)
Let m be -7 - (3 - 4)/(-1 + 2). Let r(q) = -3*q**4 + 10*q**3 + 3*q**2 + 3*q. Let j(h) = h**4 - 5*h**3 - h**2 - h. Let o(a) = m*r(a) - 13*j(a). Factor o(c).
5*c*(c - 1)*(c + 1)**2
Let r(j) be the first derivative of -5*j**7/84 - j**6/12 + 6*j + 32. Let q(y) be the first derivative of r(y). Factor q(b).
-5*b**4*(b + 1)/2
Let j(m) be the second derivative of -m**6/600 + m**4/120 - 13*m**2 + 27*m. Let b(a) be the first derivative of j(a). Suppose b(k) = 0. Calculate k.
-1, 0, 1
Let i(d) be the third derivative of 7*d**2 + 1/735*d**7 + 0*d**5 + 0*d**3 + 0*d**4 + 0*d + 1/420*d**6 + 0. Factor i(v).
2*v**3*(v + 1)/7
Let b(k) be the third derivative of k**5/60 - k**4/24 - k**3 + 76*k**2. Let p be b(-2). What is i in 1/7*i + 1/7*i**2 + p = 0?
-1, 0
Let u(p) be the first derivative of -9*p**4/4 - 142*p**3 - 135*p**2/2 + 282*p + 140. Factor u(r).
-3*(r + 1)*(r + 47)*(3*r - 2)
Let q(c) be the third derivative of c**5/60 + c**4/12 - c**3/2 + 4*c**2 - 2*c. Suppose q(y) = 0. Calculate y.
-3, 1
Suppose 3*q + 2*i - 102 = 7*i, -5*i = -q + 44. Let p = -24 + q. Determine r, given that 2*r**4 - 2*r**2 + r - 65 - p*r + 65 + 4*r**3 = 0.
-2, -1, 0, 1
Suppose 330*p - 151*p - 245*p + 69 - 3*p**2 = 0. What is p?
-23, 1
Let l(j) = -3*j**2 + 10*j**2 - 4*j**3 + 3*j**2 + 5*j + 13*j**3. Let c(u) = u**3. Let w(d) = -4*c(d) + l(d). Factor w(r).
5*r*(r + 1)**2
Let r(f) be the first derivative of -3*f**5/20 + f**4/16 + 3*f**3/4 - 9*f**2/8 + f/2 - 23. Determine o so that r(o) = 0.
-2, 1/3, 1
Let o(h) be the third derivative of 5*h**8/336 - h**7/42 - h**6/8 + h**5/12 + 5*h**4/12 + 3*h**2 + 5*h. Factor o(d).
5*d*(d - 2)*(d - 1)*(d + 1)**2
Let y(s) be the third derivative of -s**8/336 - s**7/105 + s**6/60 + s**5/15 - s**4/24 - s**3/3 + 2*s**2 - 39. What is m in y(m) = 0?
-2, -1, 1
Suppose -5*y + 52 = -13. Factor -4*o - 5*o**4 - y*o**2 + 3*o**2 + 3*o**4 - 8*o**3.
-2*o*(o + 1)**2*(o + 2)
Let x(y) = 4*y**5 + 8*y**4 + 5*y**3 + y**2 - 3*y + 3. Let w(b) = b + b**3 - 4*b**5 + b**2 + 896 + 3*b**5 - b**4 - 897. Let v(z) = 6*w(z) + 2*x(z). Factor v(m).
2*m**2*(m + 1)*(m + 2)**2
Factor 9/4*u**2 + 0 + 0*u + 3/4*u**3.
3*u**2*(u + 3)/4
Factor 4475/3*r + 7/3*r**3 + 1250/3 + 352/3*r**2.
(r + 25)**2*(7*r + 2)/3
Let c = 21/2 - 59/6. Let f(n) be the second derivative of -c*n**6 + 7*n - 2*n**2 + 2/21*n**7 + 2*n**5 + 0 - 10/3*n**4 + 10/3*n**3. Solve f(d) = 0.
1
Let h be (-24)/(-54) - (-2)/9. Factor -h*k**5 + 14/3*k**4 + 40/3*k**2 - 16/3*k + 0 - 12*k**3.
-2*k*(k - 2)**3*(k - 1)/3
Let c be (-3)/6 + 0 - (-33)/6. Let x(d) be the third derivative of -d**2 - 1/15*d**3 + 0 + 0*d + 1/120*d**4 + 1/300*d**c. Solve x(g) = 0.
-2, 1
Let -38/3*l**2 + 2/3*l**3 + 12*l + 0 = 0. What is l?
0, 1, 18
Let k(c) = 3*c**3 - c**2 - 8*c - 12. Let v(d) = -25*d**3 + 9*d**2 + 64*d + 96. Let m(w) = -51*k(w) - 6*v(w). Suppose m(l) = 0. What is l?
-2, 3
Let t be 25/(-2)*4/(-10). Let u(s) be the second derivative of -1/3*s**3 + 0*s**2 - 1/20*s**t - 3*s - 1/4*s**4 + 0. Factor u(g).
-g*(g + 1)*(g + 2)
Factor -4*d**3 + 2/3*d**4 - 8*d**2 + 140/3*d + 50.
2*(d - 5)**2*(d + 1)*(d + 3)/3
Let d be (2 - 7) + 7/(-35)*-61. Factor -3/5*q**4 + d*q**2 + 42/5*q + 3 + 6/5*q**3.
-3