 in s(z) = 0?
-3, 3
Solve 5/3*r**4 + 0*r + 0 - 7/3*r**3 + 2/3*r**2 = 0.
0, 2/5, 1
Let a = 35811/14915 - 3/2983. Factor 64/5 - 1/5*s**3 + a*s**2 - 48/5*s.
-(s - 4)**3/5
Let p(u) = u + 17 - 17 + 3*u**2. Let s be p(1). Factor -x**4 + 6 - 12 + 0*x**s - 4*x + 8*x**2 - x**4 + 4*x**3.
-2*(x - 3)*(x - 1)*(x + 1)**2
Let j(l) = -3*l**2 - 54*l - 66. Let r(b) = 19*b**2 + 333*b + 395. Let i(n) = 39*j(n) + 6*r(n). Factor i(g).
-3*(g + 2)*(g + 34)
Let g(c) = 2*c - 4. Let s be (1 + (-21)/6)*-2. Let w be g(s). Factor -2*l**4 - w*l**2 + 3*l**3 + 3*l**4 + 2*l**4.
3*l**2*(l - 1)*(l + 2)
Let d(t) = t**2 - 4*t**2 - 5*t**3 - 8*t + 14*t**2. Let y(q) = -11*q**3 + 23*q**2 - 17*q. Let w(j) = -5*d(j) + 2*y(j). Factor w(r).
3*r*(r - 2)*(r - 1)
Let g(y) be the second derivative of 0 + 0*y**2 + 0*y**3 + 1/6*y**4 + y + 1/10*y**5. Factor g(p).
2*p**2*(p + 1)
Let b be -1 + 4 + -6 + 3. Let n = 2 - b. Find i such that -4 + 4*i + 14*i**n + 4*i + 2*i = 0.
-1, 2/7
Let y(o) be the third derivative of -o**5/20 + 31*o**4/24 + 7*o**3/6 + 25*o**2. Let w(q) = -q**2 + 10*q + 2. Let k(c) = 7*w(c) - 2*y(c). Solve k(n) = 0 for n.
0, 8
Suppose 0 = -31*x + 2240 - 566. Solve 8/3 + 26/3*d**2 + x*d**4 + 84*d**3 - 56/3*d = 0.
-1, 2/9
Let p(s) = -s**2 - 11*s + 86. Let j be p(5). Let d(r) be the third derivative of 0*r**5 + 0*r + 0*r**3 + 1/40*r**j + 0 - 8*r**2 - 1/2*r**4. Factor d(i).
3*i*(i - 2)*(i + 2)
Suppose -4 = 4*z - 20. Let j be 1 + -2 + (24 - z). Determine w so that -8*w**4 - 4*w - 57*w**3 + j*w**2 + 64*w**4 + 2*w - 17*w**5 + w**5 = 0.
0, 1/4, 1, 2
Let r = 87 - 84. What is f in 2*f**3 - f**r + 14*f**4 + 2*f**4 - 15*f**4 = 0?
-1, 0
Suppose 141 = 49*b + 43. Factor 33/2*m - 3 + 75/8*m**3 - 105/4*m**b.
3*(m - 2)*(5*m - 2)**2/8
Let u = 26251/3 - 8837. Let q = -86 - u. Factor -1/3*l + q - 1/3*l**2.
-(l - 1)*(l + 2)/3
Suppose -2*o - 1 = -5. Let x(i) be the first derivative of 1/3*i**o + 13/9*i**3 + 17/15*i**5 + 0*i + 6 + 2*i**4 + 2/9*i**6. What is w in x(w) = 0?
-2, -1, -1/4, 0
Determine k, given that -28/5 - 2/5*k**3 + 12/5*k**2 + 18/5*k = 0.
-2, 1, 7
Factor -t**5 - 75*t**4 - 444*t**2 - 22 + 225*t + 6*t**5 + 94*t**2 + 250*t**3 - 33.
5*(t - 11)*(t - 1)**4
Let l(u) be the third derivative of 0*u - 23*u**2 + 0 + 1/9*u**5 - 8/9*u**3 - 4/9*u**4. Factor l(p).
4*(p - 2)*(5*p + 2)/3
Factor -42/5 + 2/5*m**2 + 8/5*m.
2*(m - 3)*(m + 7)/5
Let l(s) = s**3 - s**2 + 13. Let c be l(0). Find w such that -2 + c*w**2 + 48*w + 15*w**2 + 2 - 16 = 0.
-2, 2/7
Let l(i) be the second derivative of -1/4*i**5 + 5*i**2 + 15*i + 5/2*i**3 + 0 + 0*i**4. Factor l(n).
-5*(n - 2)*(n + 1)**2
Let i = 1117 + -1115. Factor -2/17 - 4/17*b - 2/17*b**i.
-2*(b + 1)**2/17
Let l(o) be the third derivative of o**6/90 - 4*o**5/45 + o**4/6 + 51*o**2. Factor l(g).
4*g*(g - 3)*(g - 1)/3
Suppose -i = 4*o + 1 - 6, -5*i = -4*o - 1. Let u be 19 - 15 - (3 + i). Factor 13 - 2*j**2 + u*j**2 - 11.
-2*(j - 1)*(j + 1)
Suppose 22*c - 64 = 464. Let i be (-14)/c - 15/(-12). Factor i*m**3 + 0 - 2/3*m**4 + 2/3*m**2 - 2/3*m.
-2*m*(m - 1)**2*(m + 1)/3
Determine k, given that 36/11*k + 0 - 2/11*k**2 = 0.
0, 18
Let a(c) = c**3 + 8*c**2 + 10*c + 9. Let u be a(-6). Suppose 5*r = 2*r + u. Factor 3*h**3 + h**4 - 2*h - 2*h**2 + 7*h**2 - r*h**3.
h*(h - 2)*(h - 1)**2
Let h be (-40)/220 - (-57)/11. Let c(l) be the first derivative of 0*l - 1/13*l**2 - 2/39*l**3 - h. Factor c(w).
-2*w*(w + 1)/13
Let d be (-7 - (32/(-8) - (-40)/(-12)))*9. Determine s so that 0*s + 2/13*s**d + 0 - 2/13*s**2 = 0.
0, 1
Let k(z) = 9*z**4 - 133*z**3 + 124*z**2 + 13*z - 13. Let w(s) = 4*s**4 - 66*s**3 + 62*s**2 + 6*s - 6. Let j(m) = 6*k(m) - 13*w(m). Find y, given that j(y) = 0.
-31, 0, 1
Let r(f) be the third derivative of -f**6/20 - 9*f**5/20 - f**4/2 + f**2 - 7*f. Factor r(a).
-3*a*(a + 4)*(2*a + 1)
Let p(i) = 453 - 873 + i**2 + 442 - 12*i. Let f be p(10). Factor 6/19 + 4/19*y**3 + 16/19*y + 14/19*y**f.
2*(y + 1)**2*(2*y + 3)/19
Let i(c) = c**3 + 3*c**2 + 2*c - 4. Let b be i(-4). Let u be (-2)/7 + (-64)/b. Factor 31 - 4*a**u + 12*a - 31.
-4*a*(a - 3)
Suppose 2/5*c**4 + 104/5*c**2 - 56/5*c**3 + 0 + 0*c = 0. Calculate c.
0, 2, 26
Let g be (-7 - -4)*1 + 15 + -12. Let f(i) be the first derivative of 4/9*i + g*i**3 + 1/18*i**4 + 6 - 1/3*i**2. Factor f(w).
2*(w - 1)**2*(w + 2)/9
Let b(r) = -r**2. Let t(w) = -4*w**4 - 8*w**3 - w**2. Let n(o) = -7*o + 55. Let h be n(8). Let m(l) = h*t(l) - 3*b(l). Factor m(z).
4*z**2*(z + 1)**2
Let b be 0 - -13 - (12/2 - 195/39). What is t in -3*t - 9*t**5 + b*t**3 + 3/2*t**2 - 3/2*t**4 + 0 = 0?
-1, -2/3, 0, 1/2, 1
Let y = -9 + 2. Let r = 18 + y. Suppose 27*m**3 - m + 6*m**3 - 15*m**4 - 12*m**2 + 6*m**3 - r*m = 0. Calculate m.
-2/5, 0, 1, 2
Let r(t) be the first derivative of t**5 - t**4 - 8*t**3 - 8*t**2 - t + 4. Let q(l) be the first derivative of r(l). Factor q(v).
4*(v - 2)*(v + 1)*(5*v + 2)
Solve 129/5 + 123/5*a**2 + 3/5*a**3 - 51*a = 0.
-43, 1
Let o = 1821 - 7283/4. Find d, given that o*d**5 + 0 + 0*d**3 - 1/4*d - 1/2*d**4 + 1/2*d**2 = 0.
-1, 0, 1
Suppose -5*g + 28 = 3*q - g, -q + 4 = 4*g. Suppose 3*s - q = -6. Solve 2/3*t + 4/3 - 2/3*t**s = 0 for t.
-1, 2
Let x = -4/3255 + 3263/6510. Factor -3/2*j**3 + 0*j**2 + 2*j - x*j**4 + 0.
-j*(j - 1)*(j + 2)**2/2
Let r be (168/30 - 6)*(-120)/14. Find y, given that -r + 4*y + 12/7*y**2 = 0.
-3, 2/3
Let w(j) be the first derivative of 1/9*j**2 - j + 4 - 1/30*j**5 - 1/27*j**3 - 5/54*j**4. Let t(a) be the first derivative of w(a). Factor t(p).
-2*(p + 1)**2*(3*p - 1)/9
Let p be 12/(-16) + 11/4. Suppose -p = -l - 0. Factor -5*y**3 + 9*y**2 + 19*y**3 + 12*y**l - 4 + 3*y**2 + 6*y.
2*(y + 1)**2*(7*y - 2)
Let a(o) be the third derivative of 0*o + 0*o**3 - 1/24*o**6 - 2*o**2 + 0 + 1/12*o**5 + 0*o**4. Factor a(y).
-5*y**2*(y - 1)
Let n(d) be the third derivative of -d**6/180 + 31*d**5/30 - 61*d**4/12 + 91*d**3/9 - 44*d**2 + 5. Factor n(v).
-2*(v - 91)*(v - 1)**2/3
Let w = 227 - 220. Let t(z) be the third derivative of 0*z + 1/240*z**6 + 0*z**5 + 0*z**3 - 1/1344*z**8 + 0 - 3*z**2 + 0*z**w - 1/96*z**4. Factor t(o).
-o*(o - 1)**2*(o + 1)**2/4
Let a be ((-6)/(-9))/(2/9). Find r, given that -r**2 + a*r**3 - r**3 + 3*r**2 - 2 + 2*r - 4*r**3 = 0.
-1, 1
Find d such that -54*d**4 + 0 - 27/2*d**5 - 22*d**2 + 5/2*d + 63*d**3 = 0.
-5, 0, 1/3
Suppose 3*t + 3*m + 3 = 27, -4*t + 5*m = 13. Factor 15*o**t + 14*o**2 + 4*o + 9/2*o**4 + 0.
o*(o + 2)*(3*o + 2)**2/2
Suppose -10 - 1/3*n**2 + 17/3*n = 0. Calculate n.
2, 15
Let b(r) be the first derivative of 0*r**4 + 0*r**3 + 0*r**2 + 5 - 1/30*r**6 + 1/20*r**5 - 4*r. Let t(j) be the first derivative of b(j). Factor t(n).
-n**3*(n - 1)
Let c(w) = w**3 + 2*w**2 - 4*w - 6. Let z be c(-2). Factor -2*u**4 + 4*u**5 - 10*u**4 - 4*u**4 + 64*u**z + 8*u**2 - 12*u**3.
4*u**2*(u - 3)**2*(u + 2)
Let u(s) be the third derivative of -s**5/160 + 29*s**4/64 + 15*s**3/8 + 80*s**2 - 3. What is i in u(i) = 0?
-1, 30
Let u = 40 - 71/2. Let z(o) be the first derivative of 6*o - u*o**2 - 3 + o**3. What is s in z(s) = 0?
1, 2
Let y(p) be the second derivative of -p**7/3780 + 7*p**6/270 - 49*p**5/45 + 9*p**4/4 + 22*p. Let r(w) be the third derivative of y(w). Factor r(h).
-2*(h - 14)**2/3
Let h(y) be the third derivative of y**8/2016 + y**7/560 + y**6/360 - y**5/15 + 3*y**2. Let k(c) be the third derivative of h(c). Solve k(u) = 0.
-1/2, -2/5
Suppose 0 = -i - 2, 2*l = 6*i - 2*i + 32. Let q = l - 8. Solve -8*u - 36*u**q + 28*u**3 - 4*u**4 + 2*u**2 + 16*u**5 + 0*u**4 + 2 + 0*u**5 = 0.
-1/2, 1/2, 1
Let j be 2 + ((-12)/(-20))/((-4)/4). Factor -4/5*a**2 + j*a + 2/5.
-(a - 2)*(4*a + 1)/5
Suppose 0*u - 19 = -u. Find q, given that -16*q**2 - 3*q - u*q**2 + 38*q**2 = 0.
0, 1
Factor 5/2*k**2 - 12 - k + 1/2*k**3.
(k - 2)*(k + 3)*(k + 4)/2
Let h(g) be the first derivative of -7*g**4/4 - 38*g**3 - 137*g**2/2 - 30*g - 88. Suppose h(r) = 0. What is r?
-15, -1, -2/7
Let k(t) = t**5 + t**2 + t + 1. Let c(p) = -4*p**5 + 16*p**4 - 34*p**3 + 18*p**2 - 2*p - 2. Let u(f) = 2*c(f) + 4*k(f). Let u(x) = 0. Calculate x.
0, 1, 2, 5
Let u(a) = -a**2 + 6*a - 7. Suppose -5 = z - 8. Let v be u(z). Factor 0*p + p**2 + 2*p**v + 34 - 24*p + 14.
3*(p - 4)**2
Let r(a) be the first derivative of -a**3/3 - 4*a**2 + 68. Factor r(m).
-m*(m + 8)
Let u(l) be the third derivative of l**5/60 + l**4/24 - l**3/3 - 20*l**2 + 1. Factor u(i).
(i - 1)*(i + 2)
Let z(l) be th