5*y(w). Factor j(s).
-5*(s + 1)*(s + 21)
Suppose 12/5*n + 14/5*n**2 + 0 - 2*n**3 - 14/5*n**4 - 2/5*n**5 = 0. Calculate n.
-6, -1, 0, 1
Let y be 18/(-8)*(-1 + 1/(-3)). Determine q, given that 3*q**y - 20 - 30*q**2 + 2*q**3 + 223*q - 178*q = 0.
1, 4
Let s be -4 + -5 + 3 + -11. Let f(g) = -g**3 - 19*g**2 - 33*g + 20. Let x be f(s). Factor 20/3*t**2 + 8/9 - 46/9*t + 2*t**x.
2*(t + 4)*(3*t - 1)**2/9
Let a be -3 - (-2)/1 - (-6 + 5). Let w(h) be the first derivative of 0*h**2 + a*h**4 - 4 + 0*h + h**3 - 3/5*h**5. Factor w(q).
-3*q**2*(q - 1)*(q + 1)
Let c(i) be the second derivative of -i**6/60 + 7*i**5/4 - 431*i**4/8 + 595*i**3/3 - 289*i**2 + 2*i. Factor c(b).
-(b - 34)**2*(b - 1)**2/2
Let w(n) be the second derivative of n**5/90 + 5*n**4/54 + 7*n**3/27 + n**2/3 + 387*n. Suppose w(j) = 0. Calculate j.
-3, -1
Let d(j) be the first derivative of 0*j**5 - j + 15/4*j**2 - 20/3*j**3 - 4/3*j**6 + 12 + 5*j**4. Factor d(x).
-(x + 2)*(2*x - 1)**4/2
Let x(u) = 5*u**2 + 3*u + 2. Let p be x(-1). Factor -1 + 8*d + p*d**2 + 1 - 8*d**2.
-4*d*(d - 2)
Let i(u) be the second derivative of u**4/12 - 17*u**3/6 - 9*u**2 - u - 69. Suppose i(y) = 0. Calculate y.
-1, 18
Let y(f) = -4*f**2 - 64*f + 58. Let m(h) = -13*h**2 - 194*h + 172. Let p(d) = 2*m(d) - 7*y(d). Factor p(z).
2*(z - 1)*(z + 31)
Let w(m) be the first derivative of -1/180*m**6 - 4 - 1/30*m**5 - m**3 - 1/12*m**4 + 0*m + 0*m**2. Let t(k) be the third derivative of w(k). Factor t(j).
-2*(j + 1)**2
Let f(r) be the first derivative of -2/9*r**3 + 0*r**2 + 8/3*r + 14. Find a such that f(a) = 0.
-2, 2
Let a(b) = -4*b**5 + 11*b**4 - 28*b**3 - 13*b**2 + 41*b - 7. Let d(g) = g**5 - 3*g**4 + 7*g**3 + 3*g**2 - 10*g + 2. Let l(q) = -2*a(q) - 9*d(q). Factor l(u).
-(u - 2)**2*(u - 1)**2*(u + 1)
Let w(l) = 5*l**3 + 24*l**2 + 125*l - 2. Let n(c) = 12*c**3 + 49*c**2 + 252*c - 5. Let m(v) = 2*n(v) - 5*w(v). Factor m(g).
-g*(g + 11)**2
Suppose -3*r + 19 = -17. Let f = -12 + r. Suppose -u**4 - 2*u - 5*u**2 + f*u**3 + 4*u + 4*u**3 = 0. Calculate u.
0, 1, 2
Let d(w) be the third derivative of 1/6*w**4 - 1/24*w**5 + 0*w + 1/240*w**6 - 1/3*w**3 - 22*w**2 + 0. Let d(x) = 0. Calculate x.
1, 2
Let h be 2 + (-14)/(-49) + -2. Let 32/7 + h*m**2 + 16/7*m = 0. What is m?
-4
Let f(g) be the second derivative of -g**8/16800 + g**7/1575 - g**6/450 + 5*g**4/6 + 12*g. Let t(x) be the third derivative of f(x). Solve t(h) = 0 for h.
0, 2
Let o be (-4)/(-34) + 160/85. Suppose -2*j**2 + 0*j**2 - o*j**2 + j**2 = 0. Calculate j.
0
Let s(m) be the first derivative of m**8/1176 - m**6/210 + m**4/84 - 2*m**2 - 14. Let u(h) be the second derivative of s(h). Factor u(z).
2*z*(z - 1)**2*(z + 1)**2/7
Let x(g) be the third derivative of -1/15*g**4 + g**2 + 0 + 1/150*g**5 + 4/15*g**3 + 0*g. Find z, given that x(z) = 0.
2
Let k = 17 - -13. Let p be (36/10)/(9/k). Factor -7*v + v - 8*v - 12*v**4 + 3*v**5 + 2*v + 9*v**3 + p*v**2.
3*v*(v - 2)**2*(v - 1)*(v + 1)
Suppose 248 = -116*c + 120*c. Suppose -3*g - 47 + c = 0. Suppose -13/7*f**4 + 1/7*f**2 - 2/7*f + 5/7*f**g + 0 + 9/7*f**3 = 0. What is f?
-2/5, 0, 1
Let l(j) = -8*j - 5. Let b be l(-1). Suppose 12*d**b + 37 - 15*d - 43 - d**5 - 6*d**2 + 4*d**5 + 12*d**4 + 0*d**5 = 0. What is d?
-2, -1, 1
Let r(c) = 20*c**3 + 196*c**2 + 748*c - 972. Let l(x) = -7*x**3 - 65*x**2 - 249*x + 324. Let t(n) = 8*l(n) + 3*r(n). Solve t(v) = 0.
-9, 1
Let q(x) be the first derivative of 0*x + 12 - 25/3*x**3 - 5/2*x**2. Factor q(z).
-5*z*(5*z + 1)
Let z(h) = -10*h**4 + 29*h**3 + 2*h**2 - h - 5. Let f(g) = g**4 + g**3 + g**2 + g - 1. Let q(c) = 5*f(c) - z(c). Determine y, given that q(y) = 0.
-2/5, 0, 1
Let l(y) be the first derivative of -2*y**6/3 - 16*y**5/5 + y**4 + 16*y**3/3 - 20. Let l(t) = 0. What is t?
-4, -1, 0, 1
Let j = 539/3 + -179. Let z(v) be the second derivative of -v + j*v**3 + 1/15*v**6 + 0 + 0*v**2 - 3/20*v**5 - 1/3*v**4 + 1/42*v**7. Factor z(s).
s*(s - 1)**2*(s + 2)**2
Determine v, given that 16760*v + v**5 - 16760*v - 11*v**4 + 20*v**3 + 47*v**2 - 15*v**2 = 0.
-1, 0, 4, 8
Factor -c**3 + 1/3*c**4 + 1/3*c**5 + 2/3*c + 0 - 1/3*c**2.
c*(c - 1)**2*(c + 1)*(c + 2)/3
Let q(j) = 2*j**3 + 19*j**2 - j. Let l be q(0). Suppose l*u + 1/3*u**2 + 1/3*u**3 + 0 = 0. What is u?
-1, 0
Suppose 5*c + 4*r - 70 = 0, 48*r - 47*r + 25 = 3*c. Factor 8 + 4*v**2 + c*v + 1/2*v**3.
(v + 2)**2*(v + 4)/2
Let g = -1961 + 1961. Find u such that 0*u**4 + g + 4*u**3 + 16/3*u**2 + 2*u - 2/3*u**5 = 0.
-1, 0, 3
Let y(w) be the first derivative of 16*w**3/3 + 39*w**2 - 10*w - 61. Factor y(s).
2*(s + 5)*(8*s - 1)
Let m(n) be the second derivative of n**7/147 - n**6/105 - 3*n**5/35 + 2*n**4/21 + 8*n**3/21 - 3*n + 5. Suppose m(g) = 0. Calculate g.
-2, -1, 0, 2
Let n(c) be the first derivative of 0*c + 4/3*c**3 + 2*c**2 - 11. Find w such that n(w) = 0.
-1, 0
Let q(i) = 7*i**3 - 80*i**2 + 260*i - 256. Let d(z) = 20*z**3 - 240*z**2 + 784*z - 768. Let w(r) = -3*d(r) + 8*q(r). Factor w(c).
-4*(c - 16)*(c - 2)**2
Let u(v) be the second derivative of 7/12*v**4 + 12*v + 1/3*v**3 + 0 - 1/2*v**2 + 1/5*v**5. Factor u(a).
(a + 1)**2*(4*a - 1)
Let l(a) = 4*a**3 - a**2. Let f be l(1). Let d be 12/3*72/144. Suppose -328/11*i**f + 98/11*i**5 - 14*i**4 + 608/11*i**d + 32/11 - 256/11*i = 0. Calculate i.
-2, 2/7, 1, 2
Let t(c) be the second derivative of -c**4/36 + 25*c**3/18 - 11*c**2 - 837*c. Let t(g) = 0. What is g?
3, 22
Let i(z) = z**4 + z**3 + 2*z**2. Let r(m) = 35*m**3 + 10*m**2 - 100*m - 120. Let c(y) = -10*i(y) - r(y). Factor c(o).
-5*(o + 2)**3*(2*o - 3)
Let 0 - 120/7*r**2 - 54/7*r**3 - 24/7*r = 0. What is r?
-2, -2/9, 0
Suppose 105 = 6*w + 57. Suppose -27 + 3 = -w*s. Find q such that 1/3*q**5 + 1/3*q - 2/3*q**s - 2/3*q**4 + 4/3*q**2 - 2/3 = 0.
-1, 1, 2
Let v be (-32)/(-4) - 12 - (-7 + 1). Let -4/9*u**3 + 0*u + 0 - 4/3*u**v = 0. Calculate u.
-3, 0
Find c, given that -371/2*c**3 - 120 + 826*c + 49/2*c**4 - 1370*c**2 = 0.
-5, 2/7, 12
Let b(w) be the first derivative of 2/5*w**2 - 19 - 22/15*w**3 + 0*w + 6/5*w**4. Factor b(d).
2*d*(3*d - 2)*(4*d - 1)/5
Let m(y) be the first derivative of -y**4/26 + 10*y**3/39 + 4*y**2/13 - 40*y/13 - 91. Factor m(g).
-2*(g - 5)*(g - 2)*(g + 2)/13
Let c = 26 + -19. Suppose 0*n - c*n = 0. Factor n + 1/2*w - 1/2*w**4 + 3/2*w**3 - 3/2*w**2.
-w*(w - 1)**3/2
Let r be 4/(-10)*(-5 + -50). Let w be r/(-4) - 9/(-6). Let b(y) = -20*y**2 - 47*y - 27. Let p(c) = -7*c**2 - 16*c - 9. Let j(h) = w*b(h) + 11*p(h). Factor j(v).
3*(v + 1)*(v + 3)
Let z be -21 + -2*336/(-32). Solve -32/7*p - 2/7*p**5 + 0*p**2 + 16/7*p**3 + z + 0*p**4 = 0 for p.
-2, 0, 2
Let a(h) be the third derivative of h**5/12 + 5*h**4/24 - 5*h**3 - 13*h**2 + 2*h. Factor a(z).
5*(z - 2)*(z + 3)
Let w = -947 + 949. Let c(p) be the first derivative of -1/4*p**4 - 4*p - 9/2*p**w - 2*p**3 - 8. Let c(b) = 0. Calculate b.
-4, -1
Let t be (-18)/(-27)*(-1 - -2). Suppose 8 = -140*r + 142*r. Solve 2/3*j**3 - 1/6 - j**2 + t*j - 1/6*j**r = 0.
1
Let n(c) = -17*c**3 + 6*c**2 - 5*c - 5. Let u(j) = 8*j**3 - 4*j**2 + 3*j + 3. Let t(f) = 3*n(f) + 5*u(f). Factor t(q).
-q**2*(11*q + 2)
Factor 7/8*s**3 - 1/8*s**4 - 3/4*s**2 + 0*s + 0.
-s**2*(s - 6)*(s - 1)/8
Let u(i) be the second derivative of -1/600*i**5 - 6*i + 7/6*i**3 + 0*i**2 + 0 + 0*i**4 - 1/1800*i**6. Let g(z) be the second derivative of u(z). Factor g(r).
-r*(r + 1)/5
Let p(h) = -h - 2. Let l be p(-5). Let b be 3 + -4 + 0 + 1. Solve b*k**2 - 1/4*k + 0 + 1/4*k**l = 0.
-1, 0, 1
Let q(c) be the second derivative of c**8/420 + c**7/105 - c**6/90 - c**5/15 - 11*c**3/6 + 2*c. Let z(x) be the second derivative of q(x). Factor z(m).
4*m*(m - 1)*(m + 1)*(m + 2)
Let z(y) be the third derivative of 0*y**3 - 1/15*y**5 + 0 + 1/30*y**6 + 9*y**2 + 0*y**4 + 1/70*y**7 + 0*y. Factor z(q).
q**2*(q + 2)*(3*q - 2)
Let v = 453/10 - -231/5. Let d = 92 - v. Factor 2*m - d*m**2 - 3/2.
-(m - 3)*(m - 1)/2
Let y(a) be the second derivative of a**7/1470 - a**6/315 + a**5/210 + 5*a**3/6 - 8*a. Let m(u) be the second derivative of y(u). Find w such that m(w) = 0.
0, 1
Let m(h) be the first derivative of -2*h**6/3 + 7*h**4 - 8*h**3/3 - 24*h**2 + 32*h + 95. Let m(k) = 0. Calculate k.
-2, 1, 2
Let i = -30 - -37. Determine r so that -10 - 25*r - 4*r + i*r - 5*r**2 + 7*r = 0.
-2, -1
Let a(m) = m**3 + 8*m**2 + 5*m. Let s be a(-7). Let k = 16 - s. Suppose -6*n**5 + 3 - 6*n**5 - 8*n**