). Factor o(w).
w*(w - 1)**2
Suppose 27*w + 12 = 30*w. Let z(o) be the third derivative of 0 + 0*o**3 - 2*o**2 + 0*o + 0*o**w - 1/240*o**5. Suppose z(r) = 0. What is r?
0
Let o(t) be the second derivative of -t**6/135 + t**5/90 + t**4/54 - t**3/27 + 17*t. Factor o(y).
-2*y*(y - 1)**2*(y + 1)/9
Let r = 7 + -4. Let x be (r + -1)*2/8. Solve 0*q - 1/4 + 3/4*q**2 + x*q**3 = 0 for q.
-1, 1/2
Let m = 292 + -874/3. Let 0*t**2 - m*t**3 + 0*t + 0 = 0. Calculate t.
0
Let u = 1370/9 - 152. Find d such that u + 2/9*d**2 + 4/9*d = 0.
-1
Suppose 4*c + 22 = 2*g - 0*c, 18 = 3*g - c. Suppose -g*d + 21 = 1. Factor -d*i**3 - 5/3*i**4 - 3*i**2 - 2/3*i + 0.
-i*(i + 1)**2*(5*i + 2)/3
Let v = -8 - 1. Let g = 11 + v. Factor -50/9*z**4 - 20/3*z**3 - 8/9 + 8/3*z + 22/9*z**g.
-2*(z + 1)**2*(5*z - 2)**2/9
Let n be 2/6 - (-85)/51. Factor 1/2*t**n + 0*t - 1/2.
(t - 1)*(t + 1)/2
Let f(k) = -k**2 + 13*k - 14. Let c be f(10). Let g be ((-3)/2)/((-8)/c). Let 0*w - 4/7*w**g + 0 - 2/7*w**2 - 2/7*w**4 = 0. Calculate w.
-1, 0
Let w(l) = l. Let m(x) = x**3 - 4*x**2 - 5*x. Let i = 12 + 6. Let h(s) = i*w(s) + 2*m(s). Factor h(t).
2*t*(t - 2)**2
Let i(n) = -n**5 - n**3 - n**2 - n + 1. Let j(c) = -9*c**5 - 7*c**3 - 8*c**2 - 8*c + 8. Let a(k) = -24*i(k) + 3*j(k). Factor a(w).
-3*w**3*(w - 1)*(w + 1)
Let i = -30 + 26. Let t(m) = 5*m**2 + 4*m + 4. Let b(y) = -4*y**2 - 3*y - 3. Let r(g) = i*b(g) - 3*t(g). Find z, given that r(z) = 0.
0
Let q(k) = k. Suppose 0 = 5*r - 1 + 6. Let m be 5 + (2 - 0)*r. Let a(d) = 2*d**2 + d + 2. Let n(s) = m*q(s) + a(s). Factor n(t).
2*(t + 1)**2
Let t(r) = 3*r**4 + 6*r**3 + r**2 - 6*r - 4. Let u(i) = 4*i**4 + 7*i**3 + i**2 - 7*i - 5. Let k(l) = -5*t(l) + 4*u(l). Factor k(x).
x*(x - 2)*(x - 1)*(x + 1)
Let k = -13 - -15. Determine a so that -a - 4*a**2 + a**2 + k*a**2 + 4*a = 0.
0, 3
Factor -2/7*x**3 + 6/7*x + 0*x**2 + 4/7.
-2*(x - 2)*(x + 1)**2/7
Let 10*r**4 + 21*r - 30 - 5*r**5 + 30*r**3 + 52*r + 28*r - 6*r - 100*r**2 = 0. What is r?
-3, 1, 2
Let p(b) be the third derivative of -b**5/210 + b**4/84 + 6*b**2. Factor p(f).
-2*f*(f - 1)/7
Let j(l) be the first derivative of -1/6*l**6 + 0*l + 1/3*l**3 - 3 + 3/5*l**5 + 0*l**2 - 3/4*l**4. Factor j(o).
-o**2*(o - 1)**3
Let q be (25/50)/(1/(-2)). Let h be 1/(-2 - -1) - q. Suppose 1/5*l**2 + 3/5*l + h = 0. What is l?
-3, 0
Let p(z) be the first derivative of -z**7/756 + z**6/540 + z**5/270 + z**3 + 3. Let g(x) be the third derivative of p(x). Determine w, given that g(w) = 0.
-2/5, 0, 1
Let v(m) = -4*m**4 - 3*m**3 + 10*m**2 - 7*m. Let q(y) = y**3 + y**2 + y - 1. Let r = -3 - -5. Let x(f) = r*q(f) + v(f). What is t in x(t) = 0?
-2, -1/4, 1
Let p be 10/4*-1 + 3. Find g such that g**2 + 0*g + 0*g**3 - p*g**4 - 1/2 = 0.
-1, 1
Factor 8/3*r - 4/3 - 4/3*r**2.
-4*(r - 1)**2/3
Let o(x) = -x**4 - x**2 + 3*x + x**3 + 3*x - 7*x. Let y(s) = s**5 + s**4 - 3*s**3 + s**2 + 2*s. Let j(m) = -o(m) - y(m). Suppose j(u) = 0. What is u?
-1, 0, 1
Let s be 0/(-3) + 1/48. Let o(p) be the second derivative of -s*p**4 + 0*p**2 - 1/24*p**3 + 0 + 1/80*p**5 + 1/120*p**6 + 2*p. Factor o(m).
m*(m - 1)*(m + 1)**2/4
Factor 0*s - 3/7*s**2 + 0 + 0*s**3 + 3/7*s**4.
3*s**2*(s - 1)*(s + 1)/7
Let j(d) be the first derivative of 6 - d**2 + 1/4*d**4 + 1/3*d**3 + 0*d. Determine t so that j(t) = 0.
-2, 0, 1
Let r(w) be the third derivative of w**6/120 + w**5/15 + w**4/8 + w**3/3 - 3*w**2. Let o be r(-2). Factor x**2 + 0*x + 0*x**4 - x**3 + x - x**o.
-x*(x - 1)*(x + 1)**2
Factor -1/4*o**4 + o**3 + o - 3/2*o**2 - 1/4.
-(o - 1)**4/4
Let l(r) be the second derivative of 3*r**4/26 - 4*r**3/13 + 4*r**2/13 + 4*r. Factor l(t).
2*(3*t - 2)**2/13
Let v = 7 + -4. Let w + 4*w**3 + 3*w + 16*w**2 + v*w + 5*w = 0. Calculate w.
-3, -1, 0
Let c = 0 - -5. Let f(n) be the first derivative of 1/24*n**6 - 1/10*n**c + 0*n**2 + 1 + 1/16*n**4 + 0*n**3 + 0*n. Solve f(b) = 0.
0, 1
Let p = -438 - -2635/6. Let z(v) be the first derivative of 2/3*v - p*v**2 - 2/9*v**3 + 7/12*v**4 - 1. Find n such that z(n) = 0.
-1, 2/7, 1
Determine f so that -4*f**2 + 0 - 2/3*f**3 - 10/3*f = 0.
-5, -1, 0
Let j be (-3)/(-7) + (-18)/(-14). Factor 4/7*k**4 + 0 + j*k**2 - 4/7*k - 12/7*k**3.
4*k*(k - 1)**3/7
Let y = 68 + -68. Factor 0 - 1/4*d**2 + y*d + 1/4*d**3.
d**2*(d - 1)/4
Suppose -16 = 2*f - g + 5*g, -3*f = 2*g + 8. Let i(z) be the second derivative of f*z**3 + z + 0*z**2 + 1/12*z**4 + 0. Let i(k) = 0. What is k?
0
Let k(w) = -4*w**5 - 2*w**4 - 4*w**3. Let o be (-2)/2 + (-14 - -9). Let c(z) = 3*z**5 + 2*z**4 + 3*z**3. Let n(a) = o*c(a) - 4*k(a). What is u in n(u) = 0?
-1, 0
Suppose s = -0*u - u + 5, -3*u = -2*s. Let l(g) be the second derivative of 1/48*g**4 + 0 - 1/6*g**3 + 1/2*g**u - g. Factor l(z).
(z - 2)**2/4
Let n be (118/177)/((-2)/(-18)) + -6. Factor n + 0*m - 4/3*m**2 + 4/3*m**4 - 4/3*m**3 + 4/3*m**5.
4*m**2*(m - 1)*(m + 1)**2/3
Let m(a) be the third derivative of -a**8/50400 - a**7/6300 - a**5/60 - 5*a**2. Let j(t) be the third derivative of m(t). Solve j(k) = 0 for k.
-2, 0
Let h be 1*(-12)/(-90)*21. Suppose h*z + 4/5 + 2*z**2 = 0. Calculate z.
-1, -2/5
Suppose 4*o = 4*y - 28, -2*o - 5 = -3. Let t be (4 + (-21)/y)/2. Factor 1 + 2*m - 5/4*m**3 + t*m**2 + 1/4*m**5 - 1/4*m**4.
(m - 2)**2*(m + 1)**3/4
Let f(a) be the first derivative of 5*a**4/4 - 20*a**3/3 + 25*a**2/2 - 10*a - 7. Suppose f(c) = 0. Calculate c.
1, 2
Let j(l) be the second derivative of l**7/42 + l**6/10 + l**5/10 - l**4/6 - l**3/2 - l**2/2 - 8*l. Factor j(t).
(t - 1)*(t + 1)**4
Suppose -i**2 + 0*i + 2*i - 1 + 2*i - 2*i = 0. Calculate i.
1
Let -18*v**2 - v - v**4 - 3*v + 11*v**4 - 6*v**3 - 2*v**4 = 0. Calculate v.
-1, -1/4, 0, 2
Let q = 2/13 - 19/208. Let t(b) be the third derivative of -b**2 + 0 + 1/240*b**6 + 0*b - 1/6*b**3 + 0*b**5 - q*b**4. Find w such that t(w) = 0.
-1, 2
Let b(p) be the third derivative of 4*p**2 + 0*p + 7/90*p**5 - 1/45*p**6 - 1/9*p**3 + 0 - 1/18*p**4. Let b(h) = 0. What is h?
-1/4, 1
Let f(k) = k**3 + 9*k**2 + 8*k - 2. Let n be f(-8). Let u be (-3)/(30/(-124)) - n. Suppose -8/5 - 162/5*z**2 + u*z = 0. Calculate z.
2/9
Let u = 9/7 - 47/42. Let r(q) be the second derivative of -u*q**3 + 0*q**2 - q + 1/12*q**4 + 0. Solve r(b) = 0.
0, 1
Let k be (-1)/5 - (-28)/140. What is v in 8*v**4 + v**2 + 11/2*v**3 + 0*v + k + 7/2*v**5 = 0?
-1, -2/7, 0
Let q = 4 + -1. Solve -u**3 - 4*u + 7*u - 5*u**q + 3*u**5 = 0.
-1, 0, 1
Let n(p) be the third derivative of -p**7/70 - p**6/5 - 11*p**5/10 - 3*p**4 - 9*p**3/2 + 27*p**2. Determine h, given that n(h) = 0.
-3, -1
Let a(m) be the first derivative of -m**7/735 - m**6/420 - m**2 - 1. Let z(r) be the second derivative of a(r). Factor z(g).
-2*g**3*(g + 1)/7
Let i(n) = -5*n + 2*n**2 - 2*n**2 + 3 - n**2. Let o be i(-5). What is k in 2 - 3*k - 3*k**3 + 2*k**o + k - 3*k + 4*k**2 = 0?
1, 2
Factor 8/15*n + 0 + 2/15*n**2.
2*n*(n + 4)/15
Suppose -4*l = -u - u - 12, 3*l - 16 = -2*u. Factor -5*s**u + 3*s**2 - 15*s**3 + 17*s**3.
2*s**2*(s - 1)
Let t(p) be the third derivative of p**8/224 - 3*p**7/140 + 3*p**6/80 - p**5/40 + 8*p**2. Find n such that t(n) = 0.
0, 1
Factor 150/7*s + 30/7*s**2 + 2/7*s**3 + 250/7.
2*(s + 5)**3/7
Let c(j) = -8*j**2 + 9*j + 9. Let d(z) = -4*z**2 + 4*z + 4. Let k(x) = -4*c(x) + 9*d(x). Solve k(a) = 0.
0
Factor 14*i - 6*i**2 - 20*i**2 + 2*i**2 - 21*i**4 - 2*i - 57*i**3.
-3*i*(i + 1)*(i + 2)*(7*i - 2)
Let d(g) be the third derivative of g**8/224 + g**7/70 + g**6/80 - 10*g**2. Suppose d(k) = 0. Calculate k.
-1, 0
What is c in -16*c + 76*c**3 + 23*c**2 + 56*c**3 + 44*c**4 - 48*c**5 - 8*c**5 - 7*c**2 = 0?
-1, -1/2, 0, 2/7, 2
Let t = -56 - -60. Let s(h) be the second derivative of 2*h**2 + 0 + 1/3*h**3 + 1/15*h**6 - 1/2*h**t + h - 1/10*h**5. Determine p, given that s(p) = 0.
-1, 1, 2
Let o = 12 - 23/2. Let l(f) be the first derivative of o*f**2 - 1 - f - 1/12*f**3. Suppose l(h) = 0. What is h?
2
Factor 0 - 15/8*d**2 + 7/8*d**3 + 9/8*d - 1/8*d**4.
-d*(d - 3)**2*(d - 1)/8
Let a(f) be the second derivative of -f**4/6 + 22*f**3/3 - 121*f**2 - 36*f. Determine r, given that a(r) = 0.
11
Let k(j) = -j**3 + 1. Let w(m) = 12*m**3 - 2*m - 10. Let r(b) = -10*k(b) - w(b). Factor r(l).
-2*l*(l - 1)*(l + 1)
Let s = -23 + 25. Let b be (-4)/(-12) - s/(-6). Factor 0 + 4/3*r**2 + b*r + 2/3*r**3.
2*r*(r + 1)**2/3
What is g in 2/9 + 2/3*g**3 + 11/9*g + 17/9*g**2 = 0?
-2, -1/2, -1/3
Solve 6/