*t - 2)
Let o(b) be the first derivative of -b**5/5 - 11*b**4/10 - 11*b**3/5 - 2*b**2 - 4*b/5 - 47. Find t such that o(t) = 0.
-2, -1, -2/5
Suppose -5*z + 23 = 2*w, 2*z - 23*w - 22 = -27*w. Determine j so that 2/7*j**4 - 4/7*j**2 + 12/7*j**z + 2/7 - 6/7*j - 6/7*j**5 = 0.
-1, 1/3, 1
Let p = 169933/147 + -1156. Let s(i) be the third derivative of 0*i + 0*i**3 + 3/70*i**5 + 1/42*i**4 + i**2 + 0 + 1/35*i**6 + p*i**7. Factor s(u).
2*u*(u + 1)**2*(5*u + 2)/7
Let a = -225 - -229. Find k, given that 0*k + 2/5*k**a + 0 - 2/5*k**3 - 4/5*k**2 = 0.
-1, 0, 2
Let h(y) be the third derivative of -y**7/1155 - y**6/660 + 15*y**2. Find j, given that h(j) = 0.
-1, 0
Let f = -3 - -6. Let d = 16 - 14. Factor 32/3*x**5 + 0 + 0*x**d + 0*x + 16/3*x**4 + 2/3*x**f.
2*x**3*(4*x + 1)**2/3
Let n(k) = 9*k**4 + 6*k**3 + 18*k**2 + 18*k - 3. Let m(w) = 8*w**4 + 7*w**3 + 18*w**2 + 17*w - 2. Let o(d) = 6*m(d) - 5*n(d). Factor o(j).
3*(j + 1)**4
What is s in -4*s**5 + 39*s**2 - 14*s**3 - 34*s**3 + 24*s**4 - 7*s**2 = 0?
0, 2
Let g(p) be the first derivative of p**4 - 4*p**3/3 - 4*p**2 - 48. Find w such that g(w) = 0.
-1, 0, 2
Let w(l) be the third derivative of l**6/10 + 3*l**5/4 + l**4 - 3*l**3/2 - 69*l**2. What is h in w(h) = 0?
-3, -1, 1/4
Factor 16*b - 18*b**3 + b**2 - 16*b**3 + 30*b**3 - 4.
-(b - 2)*(b + 2)*(4*b - 1)
Factor -10*w**2 + 6*w**5 - 18*w**5 + 7*w**5 - 20*w**4 - 25*w**3.
-5*w**2*(w + 1)**2*(w + 2)
Factor 3/4*c**4 - 9/4*c**3 - 3/2*c + 3/4*c**5 - 15/4*c**2 + 0.
3*c*(c - 2)*(c + 1)**3/4
Let q(z) = 22*z**2 - 2*z - 1. Let x be q(2). Suppose g**2 - 2*g**2 - x + 32*g - 3*g**2 + 19 = 0. Calculate g.
4
Factor 10/9*c**2 + 0 - 2/9*c - 8/9*c**3.
-2*c*(c - 1)*(4*c - 1)/9
Let g(m) be the first derivative of -m**6/3 - 2*m**5/5 + 3*m**4 + 28*m**3/3 + 11*m**2 + 6*m - 2. Factor g(o).
-2*(o - 3)*(o + 1)**4
Let z(v) be the first derivative of v**6/180 - v**4/12 + v**3 - 3. Let x(m) be the third derivative of z(m). Let x(g) = 0. What is g?
-1, 1
Determine u, given that -94/7*u**2 + 32/7*u**4 - 176/7*u**3 + 0 - 12/7*u = 0.
-1/4, 0, 6
Let q(n) be the third derivative of -n**5/330 + n**3/33 - 4*n**2. Factor q(t).
-2*(t - 1)*(t + 1)/11
Let n(d) be the second derivative of d**6/30 + d**5/10 - d**4/12 - d**3/3 - d. Factor n(o).
o*(o - 1)*(o + 1)*(o + 2)
Let i(l) be the first derivative of 4*l - 3/20*l**5 + 3/4*l**4 + 3/2*l**2 - 3/2*l**3 + 4. Let p(g) be the first derivative of i(g). Factor p(a).
-3*(a - 1)**3
Let s(o) be the first derivative of -35*o**4/4 - 80*o**3/3 - 55*o**2/2 - 10*o - 8. Suppose s(t) = 0. What is t?
-1, -2/7
Let r(s) be the first derivative of -1/18*s**4 + 0*s + 0*s**3 - 2 + 0*s**2 - 2/45*s**5. Factor r(m).
-2*m**3*(m + 1)/9
Suppose -6*i = -i + 3*r - 6, 3*r - 6 = 0. Factor -1/2*l**2 + 1/2 + i*l.
-(l - 1)*(l + 1)/2
Let z(n) = n**3 + 4*n**2 + n. Let d be z(-4). Let g be (d - -3)*3/(-6). Let g*x**3 + x**2 + 1/2*x + 0 = 0. Calculate x.
-1, 0
Let a(o) be the second derivative of 0 + 1/8*o**2 - 1/48*o**4 + 0*o**3 - 7*o. Suppose a(z) = 0. Calculate z.
-1, 1
Let r(c) be the second derivative of -c**5/140 + c**4/42 - c**3/42 + c. Factor r(u).
-u*(u - 1)**2/7
Suppose -q = 3*q - 8. Suppose q*r + 1 = 5. Find z such that 1 + 1 - 2 - r*z**2 = 0.
0
Let c(q) be the third derivative of q**6/40 + q**5/20 - q**4/8 - q**3/2 - 16*q**2. Find n, given that c(n) = 0.
-1, 1
Let w be (-16)/((-12)/3) + -11. Let r be ((-1)/2)/(7/w). Factor -3/4*g**3 + r*g**2 + 0*g + 0.
-g**2*(3*g - 2)/4
Let g be ((-25)/(-15))/((-44)/12 - -4). Let b(d) be the first derivative of 1/2*d**4 + 2/9*d**3 - 3 + 0*d + 1/9*d**6 + 2/5*d**g + 0*d**2. Factor b(l).
2*l**2*(l + 1)**3/3
Let u(i) be the second derivative of -i**7/98 + 3*i**5/35 - 10*i. Factor u(a).
-3*a**3*(a - 2)*(a + 2)/7
Let b(r) be the first derivative of -1 + 0*r + 3/4*r**4 + 0*r**3 + 0*r**2. Find i, given that b(i) = 0.
0
Let g(i) = 6*i**3 - 6*i**2 - 4. Let k(f) = 5*f**3 - 5*f**2 - 3. Let q be ((-16)/(-24))/((-2)/(-12)). Let r(l) = q*k(l) - 3*g(l). Factor r(z).
2*z**2*(z - 1)
Let v be (-4)/(-14) + 24/14. Factor -3*c**2 + v*c**3 + 5*c**2 + 4 - 4.
2*c**2*(c + 1)
Let o(a) = -4*a**4 + 8 - 8 + 2*a**3 - 2*a**2 + 4*a. Let c(w) = 3*w**4 - 2*w**3 + 2*w**2 - 3*w. Let y(p) = 6*c(p) + 5*o(p). Solve y(t) = 0.
-1, 0, 1
Let k(b) be the third derivative of b**7/2520 - b**6/360 + b**4/24 - 2*b**2. Let w(l) be the second derivative of k(l). Suppose w(f) = 0. What is f?
0, 2
Determine f so that 2/17*f**5 + 0 + 4/17*f**3 - 6/17*f + 8/17*f**2 - 8/17*f**4 = 0.
-1, 0, 1, 3
Let h(v) be the first derivative of -6 - 1/3*v**3 + 2*v - 1/2*v**2. Let h(t) = 0. Calculate t.
-2, 1
Let d = 1639/9 + -181. Solve d*u**3 + 4/9 + 2*u**2 + 14/9*u + 2/9*u**4 = 0 for u.
-2, -1
Let g(q) be the third derivative of q**2 + 0*q**4 + 0*q**3 + 0*q**5 + 0*q - 1/336*q**8 + 0*q**6 + 0 + 1/210*q**7. Solve g(o) = 0 for o.
0, 1
Let f be (3/6)/(1/8). Determine x so that f*x**2 + 3 - 6*x**2 - 6*x**2 - 9*x - 4*x**2 = 0.
-1, 1/4
Determine x, given that 0 + x - 1/2*x**2 - 1/2*x**4 - 3*x**3 + x**5 = 0.
-1, 0, 1/2, 2
Let c(a) be the second derivative of -1/33*a**3 + 0 + 1/165*a**6 + 1/110*a**5 - 1/66*a**4 - 2*a + 0*a**2. Solve c(w) = 0.
-1, 0, 1
Let y = 1/19 + 53/76. Find w, given that -9/4*w**3 - 3/4*w + 9/4*w**2 + y*w**4 + 0 = 0.
0, 1
Suppose -4*n = -3*o - 8, 5*o - 2 = -2*n + 2. Suppose o = 2*j + j. Factor 2*i**2 - i - i + j*i.
2*i*(i - 1)
Let m be (-1)/2 - 1/(-2). Suppose -3*j = -m*j - 12. Let c + j*c**2 - 2*c**4 - c**3 - 3*c**3 - 2 + 2*c**5 + c = 0. Calculate c.
-1, 1
Suppose 0*k = -5*h + 3*k, -2*h = -5*k. Let m(w) be the first derivative of h*w + 1 + 2/15*w**3 + 1/5*w**2. Find x, given that m(x) = 0.
-1, 0
Suppose -s + 5*k = s - 8, -s = -k - 4. Determine g, given that -2*g**3 - s*g**3 - 3*g + 8*g**3 + 7*g - 6*g**2 = 0.
0, 1, 2
Suppose 6 = t + 2*t. Suppose 4*o - 4*i = -8, 5*i = t*o - 3*o + 28. Determine j, given that 0 + 0*j + 0*j**o + 0*j**2 - 1/3*j**4 = 0.
0
Let i(l) = -l**5 - l**4 - l**3. Let w(d) = 8*d**5 + 8*d**4 - 4*d**3. Let t(j) = -4*i(j) - w(j). Find r such that t(r) = 0.
-2, 0, 1
Let g(s) be the third derivative of -s**6/540 + s**5/135 - s**4/108 + 43*s**2. Factor g(z).
-2*z*(z - 1)**2/9
Let g(k) be the second derivative of -1/20*k**6 + 0 + 3/40*k**5 - 7*k - 1/24*k**4 + 0*k**2 + 0*k**3 + 1/84*k**7. Factor g(b).
b**2*(b - 1)**3/2
Let c(z) = -2*z**2 - 4*z - 9. Let h(s) = s**2 + s + 1. Let v(w) = -c(w) - 3*h(w). Solve v(b) = 0 for b.
-2, 3
Let z(d) = 25*d**3 + 117*d**2 + 116*d + 27. Let n(c) = 74*c**3 + 350*c**2 + 348*c + 82. Let r(y) = -3*n(y) + 10*z(y). Factor r(p).
4*(p + 1)*(p + 3)*(7*p + 2)
Suppose 5*k = -l + 22, 8*k - 5*l = 3*k + 40. Let n(a) be the first derivative of 1/2*a**2 - 5/4*a**k + 2 + 4/3*a**3 + 0*a + 5/16*a**4. Factor n(x).
-x*(x - 1)*(5*x + 2)**2/4
Factor 0 + 0*p - 1/2*p**3 + 0*p**4 + 0*p**2 + 1/2*p**5.
p**3*(p - 1)*(p + 1)/2
Let z(f) be the second derivative of -15*f**7/14 - 5*f**6/2 + 7*f**5/2 + 5*f**4 - 20*f**3/3 - 48*f - 1. Find p, given that z(p) = 0.
-2, -1, 0, 2/3
Let k(v) = -16*v**2 + 36*v + 12. Let j(w) = -w**2. Let s(t) = 5*j(t) + k(t). Factor s(f).
-3*(f - 2)*(7*f + 2)
Factor -h**3 + h + 28*h**2 - 5*h**4 + 8*h**3 + 4*h**3 - 35*h**2.
-h*(h - 1)**2*(5*h - 1)
Suppose -2*l = -l. Let c(v) be the second derivative of 0 + l*v**2 + 3*v - 7/12*v**4 - 1/3*v**3. Factor c(r).
-r*(7*r + 2)
Let x(g) be the first derivative of g**4/16 - 7*g**3/12 + 11*g**2/8 - 5*g/4 - 5. Determine p, given that x(p) = 0.
1, 5
Suppose m**4 + 2*m**5 + 2*m**4 + 2*m**4 - 3*m**4 - 4*m**3 = 0. Calculate m.
-2, 0, 1
Let i(t) be the second derivative of t**5/20 - t**4/12 - 2*t. Let d(c) = -3*c**3 + c**2 + 2*c. Let o(z) = d(z) + 2*i(z). Factor o(n).
-n*(n - 1)*(n + 2)
Let l = 1 - -2. Let d = 181/855 + 1/95. Determine i so that -2/3*i**2 + 2/3*i + 2/9*i**l - d = 0.
1
Suppose -5*p + 0*p - 60 = -3*n, 3*p = -2*n - 36. Let l be ((-1)/3)/(14/p). Factor 6/7*k**2 - 6/7*k - l*k**3 + 2/7.
-2*(k - 1)**3/7
Factor -t**2 - 14*t - 4*t + 0*t**2 - 81.
-(t + 9)**2
Let q(y) be the second derivative of y**5/5 - 5*y**4/6 + 2*y**3/3 + 23*y. Factor q(p).
2*p*(p - 2)*(2*p - 1)
Let b(y) be the first derivative of -5*y**4/36 - 17*y**3/27 - y**2/3 - 49. Factor b(h).
-h*(h + 3)*(5*h + 2)/9
Let p(v) be the first derivative of v**6/3 - 2*v**5 + 7*v**4/2 - 2*v**3 - 69. Solve p(j) = 0.
0, 1, 3
Let w(r) = -r**3 + 9*r**2 + 2*r + 12. Let h be w(9). L