2/3*n**2 + 0 - 2/3*n**4 + y*n**5 - 6*n**3 - 8/3*n = 0.
-1, 0, 4
Find b, given that 142/3*b**2 - 10/3*b**3 + 2/3*b**5 - 200/3 + 80/3*b - 14/3*b**4 = 0.
-2, 1, 5
Let p(d) = 4*d - 12. Let q be p(8). Let l(x) = -5*x**4 + 15*x**3 - 15*x**2 + 5*x + 20. Let h(u) = -u**3 + u**2 - 1. Let k(m) = q*h(m) + l(m). Factor k(n).
-5*n*(n - 1)*(n + 1)**2
Suppose 2*c = -5*j + 1 - 3, 2*j + 20 = 4*c. Let v(w) be the second derivative of -w + 3/2*w**2 + 1/2*w**c + 3/2*w**3 + 0. Find f, given that v(f) = 0.
-1, -1/2
Factor -40*j**5 + 42*j**5 - 4*j**3 + 55*j**4 - 53*j**4.
2*j**3*(j - 1)*(j + 2)
Let g = 151/579 - -146339/40530. Let j = -29/14 + g. Factor -6/5*c**2 - j*c**3 + 3/5*c + 0.
-3*c*(c + 1)*(3*c - 1)/5
Let p = 0 - 6. Let q(r) = 3*r**2 + 3*r - 6. Let i(n) = 22*n**2 - 63*n**2 + 7*n + 20*n**2 + 26*n**2 - 11. Let d(o) = p*i(o) + 11*q(o). Find k such that d(k) = 0.
0, 3
Let b(s) be the second derivative of -s**8/10080 + s**6/360 + s**5/90 + 13*s**4/6 + 10*s. Let c(a) be the third derivative of b(a). Factor c(x).
-2*(x - 2)*(x + 1)**2/3
Let y(v) = v**2 + 95*v - 89. Let b(x) = -32*x + 30. Let u(j) = 14*b(j) + 4*y(j). Factor u(i).
4*(i - 16)*(i - 1)
Let j be (0 + -1)/(3/(-15)). Suppose -8*f + 31 + 89 = 0. What is d in -136*d**4 + 11*d**5 + 56*d**4 - 52*d**3 - 8*d**2 - f*d**5 - 32*d**j = 0?
-1, -2/9, 0
Let z = -95251/42 - -2268. Let c(l) be the second derivative of -9*l - z*l**7 + 1/4*l**5 + 0*l**3 + 0*l**4 + 0*l**2 + 0 + 0*l**6. Factor c(d).
-5*d**3*(d - 1)*(d + 1)
Let j(i) be the third derivative of -1/72*i**4 + 0*i + 0 + 1/9*i**3 - 1/180*i**5 - 25*i**2. Factor j(o).
-(o - 1)*(o + 2)/3
Let d(o) be the first derivative of 0*o**2 + 7 - 5/18*o**4 + 0*o - 8/45*o**5 - 2/27*o**3. Solve d(t) = 0 for t.
-1, -1/4, 0
Let v be (-866)/(-8) + 4/(-16). Let u be v/(-27) + (-256)/(-26). Suppose -16/13 - 32/13*t**5 - u*t**2 - 290/13*t**3 + 8*t - 176/13*t**4 = 0. What is t?
-2, 1/4
Suppose -12*a**4 + 4*a**5 - 10*a**3 + 8*a**3 - 14*a**3 = 0. Calculate a.
-1, 0, 4
Let m(y) = y**2 - 2*y + 3. Let d(l) = l - 1. Let u(g) = 3*d(g) + m(g). Let v(c) = -9*c**2 - 8*c + 1. Let o = -11 - -5. Let z(p) = o*v(p) - 51*u(p). Factor z(i).
3*(i - 2)*(i + 1)
Let k(c) be the second derivative of c**4/12 + 53*c**3 + 25281*c**2/2 - 2*c + 48. Factor k(r).
(r + 159)**2
Let m(q) be the second derivative of -q**8/2520 + q**7/840 - q**6/1080 - 2*q**3 + 3*q. Let b(n) be the second derivative of m(n). Factor b(z).
-z**2*(z - 1)*(2*z - 1)/3
Suppose 1423*u = -m + 1426*u + 6, -8 = -3*m - u. Determine z, given that -16/5 + 24/5*z - 12/5*z**2 + 2/5*z**m = 0.
2
Suppose 4*g - f - 27 = -6*f, g + 4*f - 15 = 0. Suppose 3*s = 2*d - 8, -12 = g*s + s - 3*d. Let s*i + 2/11*i**2 + 0 = 0. Calculate i.
0
Let o(d) = -759*d - 1515. Let v be o(-2). Solve -v*r**3 + 1/3*r**4 + 1/3*r**5 + 0 + 11/3*r**2 - 4/3*r = 0 for r.
-4, 0, 1
Let s(f) = f**4 + 2*f**3 + f**2. Let r(k) = k**4 - 6*k**3 - 23*k**2. Let h(y) = -r(y) + 2*s(y). Find a, given that h(a) = 0.
-5, 0
Find y, given that -1/3*y**3 - 32/3 - 50/3*y - 19/3*y**2 = 0.
-16, -2, -1
Let m(w) = -w**2 + w. Let u = -9 - -10. Let c(n) = 3*n**2 + 27*n + 20. Let j(q) = u*c(q) - 2*m(q). Factor j(z).
5*(z + 1)*(z + 4)
Let u(z) be the first derivative of z**5/20 + z**4 + 29*z**3/12 + 7*z**2/4 + 319. Suppose u(b) = 0. What is b?
-14, -1, 0
Suppose 14 - 2 = 3*y. Let z(i) = 15*i - 8*i**3 + 18*i**3 - 6*i**y - i**3 - 18*i**2 - 6. Let o(l) = l**4 + l**3 - l + 1. Let s(j) = 3*o(j) + z(j). Factor s(w).
-3*(w - 1)**4
Let z(f) be the second derivative of -1/6*f**3 + 0 - 1/4*f**2 - 1/24*f**4 - 11*f. Factor z(y).
-(y + 1)**2/2
Let a be 16/40*(-4 + 9). Suppose -2 - 1/8*b**a - b = 0. Calculate b.
-4
Determine b so that 4/7*b**3 + 0 + 0*b - 4/7*b**2 = 0.
0, 1
Let t be (-2 - 0)*65/(-26). Let v(l) be the second derivative of 1/14*l**t + 0 - 2/7*l**2 + 1/21*l**4 - 5/21*l**3 + 5*l. Factor v(r).
2*(r - 1)*(r + 1)*(5*r + 2)/7
Let w = 10061 - 10058. Suppose -1/2 + 5/4*g + 1/4*g**w - g**2 = 0. Calculate g.
1, 2
Let l(s) be the first derivative of s**4/14 - 16*s**3 + 1344*s**2 - 50176*s - 58. Factor l(o).
2*(o - 56)**3/7
Let n(x) be the second derivative of x**4/66 + 7*x**3/11 + 92*x - 1. Factor n(s).
2*s*(s + 21)/11
Let q be 15/(-40)*5/(-225). Let j(f) be the second derivative of -1/48*f**4 + 0*f**3 + 0 + 1/168*f**7 + 0*f**2 - 1/80*f**5 - 3*f + q*f**6. Factor j(z).
z**2*(z - 1)*(z + 1)**2/4
Let b(p) be the first derivative of -2*p**6/3 + 28*p**5/5 - 5*p**4 - 28*p**3/3 + 12*p**2 - 37. Find n, given that b(n) = 0.
-1, 0, 1, 6
Suppose 5*d = -2*l + 17, -7 = -3*d - 6*l + 4*l. Let h be d/4 + (-9)/(-12). Solve 1/2*w**4 + 0 + 1/2*w - 1/2*w**h - 1/2*w**3 = 0 for w.
-1, 0, 1
Let k be (-6)/8 + (-73)/(-76). What is i in -2/19*i**4 + k*i + 8/19*i**3 - 10/19*i**2 + 0 = 0?
0, 1, 2
Let a(g) be the third derivative of -g**7/35 + 3*g**6/40 + 3*g**5/20 - g**4/4 - 13*g**2. Solve a(x) = 0.
-1, 0, 1/2, 2
Let u(q) = -3*q**2 - 18*q + 33. Let d(a) = 4*a**2 + 16*a - 34. Let r(v) = -6*d(v) - 7*u(v). Let r(h) = 0. What is h?
1, 9
Let j(d) be the second derivative of 2*d**6/15 - d**5/5 - 22*d**4/3 - 88*d**3/3 - 48*d**2 - 94*d. Suppose j(f) = 0. Calculate f.
-2, -1, 6
Let t(u) be the second derivative of u**7/126 + 11*u**6/90 + 13*u**5/20 + 49*u**4/36 + 10*u**3/9 + u - 127. Factor t(q).
q*(q + 1)**2*(q + 4)*(q + 5)/3
Suppose 11*z - 294 = 344. Find p such that 3 + 5 - 50*p + z + 59 + 5*p**2 = 0.
5
Let r(k) = 17*k**2 - 77*k. Let j(t) = 8*t**2 - 38*t. Let w be ((-6)/9)/(((-60)/(-126))/(-5)). Let n(h) = w*j(h) - 3*r(h). Factor n(d).
5*d*(d - 7)
Let g(y) = y**3 - y + 2. Let i(d) = -3*d**3 - 10*d**2 + 19*d - 16. Let b(m) = -5*g(m) - i(m). Find k, given that b(k) = 0.
1, 3
Let z(j) be the first derivative of j**6/6 + 8*j**5/5 + 11*j**4/4 - 20*j**3/3 - 8. Find i, given that z(i) = 0.
-5, -4, 0, 1
Let i(j) be the first derivative of -j**5/270 + j**3/27 - 15*j**2 + 40. Let q(c) be the second derivative of i(c). Let q(h) = 0. What is h?
-1, 1
Factor 559/6*d - 1/6*d**4 - 169/3 - 83/2*d**2 + 29/6*d**3.
-(d - 13)**2*(d - 2)*(d - 1)/6
Suppose 0 = -3*j + 5*s + 11 + 3, -4*j + 14 = -2*s. Suppose v = 5*r + 25, -2*r = -j*v - 2*v + 10. Factor -2/3*a**2 + 2/3*a + v.
-2*a*(a - 1)/3
Let g(a) = -29*a**2 - 66*a - 14. Let m be g(-2). Let w be (-10)/18 + 2 + -1. Solve -4/9*v**m + w + 2/9*v**3 - 2/9*v = 0.
-1, 1, 2
Let l(h) be the third derivative of 0*h + 3*h**2 + 35/24*h**4 - 1/4*h**5 - 5/3*h**3 + 0. Factor l(a).
-5*(a - 2)*(3*a - 1)
Let t(f) be the third derivative of -f**9/151200 - f**8/10080 + f**7/2100 - f**5/5 + f**4/12 - 21*f**2. Let s(h) be the third derivative of t(h). Factor s(a).
-2*a*(a - 1)*(a + 6)/5
Let l(i) be the second derivative of i + 0*i**3 + 1/8*i**4 - 1/5*i**5 + 0 + 1/2*i**2. Let r(g) be the first derivative of l(g). Factor r(f).
-3*f*(4*f - 1)
Find u, given that 5538*u**2 + 28*u - 11080*u**2 + 5538*u**2 = 0.
0, 7
Let y = 38 + -45. Let j(u) = u**2 + 6*u - 5. Let d be j(y). Factor -1/5 - 1/5*i**d + 2/5*i.
-(i - 1)**2/5
Suppose 3/8*y**3 - 7/2*y**2 + 9/4 + 7/8*y = 0. Calculate y.
-2/3, 1, 9
Let z = 217/111 + -23/37. Determine d so that -z*d**2 + 20/3*d - 16/3 = 0.
1, 4
Let k = 389/11310 - 2/1885. Let z(d) be the second derivative of -k*d**6 + 0*d**2 - 1/3*d**3 + 1/4*d**4 + 0 - 8*d + 0*d**5. Suppose z(j) = 0. Calculate j.
-2, 0, 1
Factor 1/2*x**3 + 33/2*x + 9*x**2 + 8.
(x + 1)**2*(x + 16)/2
Let g(q) be the second derivative of -9*q**5/50 - 101*q**4/30 - 22*q**3/15 - 285*q. Factor g(k).
-2*k*(k + 11)*(9*k + 2)/5
Let k be ((-11)/(-6))/(190/57). Let i(j) be the second derivative of 0*j**3 - 1/6*j**7 - 1/6*j**4 + 0 - 11*j - 8/15*j**6 + 0*j**2 - k*j**5. Factor i(m).
-m**2*(m + 1)**2*(7*m + 2)
Factor 148*s**3 + 1967321 - 28*s**4 - 152*s**2 - 1967321 + 32*s.
-4*s*(s - 4)*(s - 1)*(7*s - 2)
Let g(u) = u**5 - u**4 - u**3 + u + 2. Let d(p) = -13*p**5 - 89*p**4 - 351*p**3 - 603*p**2 - 436*p - 116. Let s(w) = d(w) + 4*g(w). Solve s(n) = 0 for n.
-3, -2/3
Let u be (-1)/(-3 + (-16)/(-6)). Let 0*z**2 - u*z**4 - 6*z**3 - 4*z**2 + 2*z**2 - z**2 = 0. What is z?
-1, 0
Suppose 7*d - 7 = 14. Let 7*p**2 - 7*p**3 + 4*p**3 - p**4 + 3*p**d - 6*p = 0. What is p?
-3, 0, 1, 2
Let l be 13 - ((-792)/11)/(-8). Let y(r) be the second derivative of -r + 0*r**2 + 1/21*r**7 + 0 + 0*r**6 + 0*r**l - 1/10*r**5 + 0*r**3. Factor y(j).
2*j**3*(j - 1)*(j + 1)
Let a(l) be the second derivative of -