- 0*k. Suppose -4*w = -k*w + 24. Suppose -2*y**2 + 8/3 + 4/3*y**w - 8/3*y + 2/3*y**4 = 0. Calculate y.
-2, 1
Let l(b) be the first derivative of 11*b**3/18 - b**2/2 - 94. Let l(o) = 0. Calculate o.
0, 6/11
Let t(h) be the third derivative of h**9/37800 + h**8/16800 - h**7/6300 - h**6/1800 + h**4/2 - 17*h**2. Let u(n) be the second derivative of t(n). Factor u(z).
2*z*(z - 1)*(z + 1)**2/5
Let p be 6/4*-2 + (-700)/(-140). Factor 0*h + 5/4 - 5/4*h**p.
-5*(h - 1)*(h + 1)/4
Let n(m) be the second derivative of -1/180*m**6 + 0*m**2 + 1/36*m**3 + 21*m - 1/24*m**4 + 0 + 1/40*m**5. Determine v, given that n(v) = 0.
0, 1
Suppose 0*r + 9 = z + r, -3*r + 15 = 0. Suppose 4*t - 4 = 4*w, -z*t - 2*w + 10 = -2*t. Factor 29*j**2 - j**4 + t*j**4 - 31*j**2.
2*j**2*(j - 1)*(j + 1)
Let c(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 4*y**5/5 - 4*y**4/3 - 12*y - 9. Factor c(q).
4*q**2*(q - 2)*(q + 1)*(q + 2)
Let x be 3 - 5*4/10. Let a be -7 + 6 + x + 3. Factor -1/2*l - 1 + 1/2*l**a + 3/2*l**2 - 1/2*l**4.
-(l - 2)*(l - 1)*(l + 1)**2/2
Let l(w) be the second derivative of 0 - 1/91*w**7 - 1/26*w**5 - 9*w - 1/78*w**4 + 0*w**3 + 0*w**2 - 7/195*w**6. Suppose l(t) = 0. Calculate t.
-1, -1/3, 0
Let -19/6*a**5 + 97/6*a**4 + 0 - 74/3*a**2 + 8/3*a - 8*a**3 = 0. What is a?
-1, 0, 2/19, 2, 4
Let z be (5 - 10 - (3 + -7))*0. Let g(c) be the third derivative of 0 + 1/20*c**5 + 1/12*c**4 + 6*c**2 + z*c + 0*c**3 + 1/120*c**6. Factor g(h).
h*(h + 1)*(h + 2)
Let d(u) = -31*u**2 - 385*u - 784. Let p(z) = -8*z**2 - 96*z - 196. Let v(g) = -6*d(g) + 23*p(g). Factor v(i).
2*(i + 2)*(i + 49)
Let w(l) be the first derivative of l**5/4 + 65*l**4/16 + 70*l**3/3 + 50*l**2 - 189. Factor w(s).
5*s*(s + 4)**2*(s + 5)/4
Factor -12*v**3 - v**2 + 12*v - 886 + 2*v**4 + 5*v**2 + 0*v**4 + 878 + 2*v**4.
4*(v - 2)*(v - 1)**2*(v + 1)
Let v = -15 + 55/3. Let y = -2 + v. Find u, given that -1/3*u**2 - y*u - 4/3 = 0.
-2
Let a(l) = -l**4 - 2*l**3 - l**2 - 6*l + 6. Let s(p) = -p - 1 - 5 + 7. Let z(f) = -a(f) + 6*s(f). Let z(m) = 0. Calculate m.
-1, 0
Let c(d) = -5*d**2 - 286*d - 10661. Let h(x) = 4*x**2 + 288*x + 10660. Let u(n) = -2*c(n) - 3*h(n). Suppose u(y) = 0. What is y?
-73
Suppose 3*b - 16 = -5*v + b, 0 = -2*v - 4*b + 16. Factor -9*p - 3*p**3 + 10*p + 3*p**v + 5*p + 0*p**2.
-3*p*(p - 2)*(p + 1)
Factor -35*n - 14*n**4 + 11*n**4 - 3*n + 48*n**2 - 22*n - 3*n**3.
-3*n*(n - 2)**2*(n + 5)
Let b(j) be the second derivative of j**6/30 + 3*j**5/20 - j**4/12 - j**3/2 - j - 42. Factor b(o).
o*(o - 1)*(o + 1)*(o + 3)
Let h(p) = p**5 - p**4 + p**3 - p**2 - p - 1. Let d(q) = 7*q**5 - 5*q**4 + 5*q**3 - 7*q**2 - 6*q - 6. Let a(y) = d(y) - 6*h(y). Suppose a(k) = 0. What is k?
-1, 0, 1
Suppose 12*x = -x. What is z in -2/5*z - 2*z**2 - 17/10*z**3 - 2/5*z**4 + x = 0?
-2, -1/4, 0
Let n(u) be the first derivative of -u**4/4 - 7*u**3/3 + 2*u**2 + 28*u - 166. Solve n(h) = 0.
-7, -2, 2
Let a = -27031/12 - -2248. Let b = 16/3 + a. Factor -b*q**2 + 0*q**3 + 1/4*q**4 + 0 - 1/2*q.
q*(q - 2)*(q + 1)**2/4
Let m(a) be the second derivative of a**4/8 + 8*a**3 + 192*a**2 - 5*a + 2. Factor m(p).
3*(p + 16)**2/2
Let r = 58/51 - -533/204. Factor -9/4*f**2 + 3/2 + r*f.
-3*(f - 2)*(3*f + 1)/4
Factor 0*z**4 + 1/4*z**5 + 0 + 16*z**2 - 12*z - 6*z**3.
z*(z - 2)**3*(z + 6)/4
Let p(v) be the third derivative of v**5/570 - 5*v**4/76 - 16*v**3/57 - 8*v**2 + 11. Factor p(n).
2*(n - 16)*(n + 1)/19
Determine h so that -3*h**4 + 5*h**3 - 8 + 54*h**2 - 20*h**2 - 20*h - 20*h**2 = 0.
-2, -1/3, 2
Suppose 5*a - 2*a = 3. Let q be (3/(27/42))/((-16)/(-12)). Suppose a + 5/2*i**2 + q*i = 0. Calculate i.
-1, -2/5
Solve -160/7 - 2/7*s**3 - 624/7*s**2 + 648/7*s + 30/7*s**4 = 0 for s.
-5, 2/5, 2/3, 4
Let u(l) be the third derivative of l**8/28 + 4*l**7/15 - 4*l**6/3 - 16*l**5/3 + 56*l**4/3 + 64*l**3 + 92*l**2 - 2*l. Let u(i) = 0. What is i?
-6, -2, -2/3, 2
Let k = 427/80 - 79/16. Factor 8/5 - k*v + 2/5*v**3 - 8/5*v**2.
2*(v - 4)*(v - 1)*(v + 1)/5
Let q be (-8)/3*414/(-24). Let v = 93/2 - q. What is o in -1/2*o**4 - o + v + 0*o**2 + o**3 = 0?
-1, 1
Let h be -8 + (-5 - (1*-3 - 676/65)). Let -h*k**4 + 0 + 3/5*k**3 - 4/5*k + 4/5*k**2 - 1/5*k**5 = 0. Calculate k.
-2, 0, 1
Factor 3/7*k**2 - 54/7 + 3*k.
3*(k - 2)*(k + 9)/7
Let h(o) be the third derivative of -o**9/13608 + o**7/3780 + o**3/3 - 8*o**2. Let n(a) be the first derivative of h(a). Factor n(p).
-2*p**3*(p - 1)*(p + 1)/9
Factor -1352 - 1/2*t**2 + 52*t.
-(t - 52)**2/2
Find r such that 11*r**4 - 1/2 + 12*r**2 + 1/4*r - 91/4*r**3 = 0.
-2/11, 1/4, 1
What is h in 13*h**3 - 4*h**5 + h**2 - 28*h - 25*h**2 + 19*h**3 + 24*h**4 = 0?
-1, 0, 1, 7
Suppose 0 = 7*g - 52 - 60. Let n be 2 + (-20)/6 + g/12. Find z such that -1/4*z**2 + n + 0*z = 0.
0
Let m(i) be the third derivative of 5*i**8/84 + 5*i**7/42 - 11*i**6/24 - 7*i**5/12 + 35*i**4/24 + 5*i**3/3 - 27*i**2. Determine q, given that m(q) = 0.
-2, -1, -1/4, 1
Let m be (-1)/(2 + 3 + -7)*4. Factor -18*o**m - 11 - 33*o**3 + 35*o**3 + 11.
2*o**2*(o - 9)
Let a(i) be the first derivative of i**4/6 + 64*i**3/9 + 308*i**2/3 + 1568*i/3 + 849. Let a(n) = 0. What is n?
-14, -4
Let l be (-27)/((-108)/32)*(-1)/(-2). Let -16/3 - 2/3*b**5 + l*b**4 + 4/3*b**2 - 22/3*b**3 + 8*b = 0. What is b?
-1, 1, 2
Let m(p) be the second derivative of -14*p + 0*p**2 + 0 - 1/105*p**6 + 3/7*p**3 - 1/14*p**5 - 1/14*p**4. Factor m(j).
-2*j*(j - 1)*(j + 3)**2/7
Let m(k) be the third derivative of 1/40*k**6 - 9*k**2 - 1/10*k**5 + 0*k + 0*k**3 + 0 + 1/8*k**4. Factor m(l).
3*l*(l - 1)**2
Let z(m) be the third derivative of -m**5/270 - 13*m**4/54 - 25*m**3/27 + 3*m**2 + 7*m. Factor z(f).
-2*(f + 1)*(f + 25)/9
Let k be ((-1)/5)/(132/(-11)). Let h(j) be the third derivative of 0 + k*j**5 - 1/6*j**3 + 0*j + 5*j**2 + 0*j**4. Factor h(l).
(l - 1)*(l + 1)
Let t be (255/(-40))/((-6)/8)*2. Suppose -22*g + t*g + 6*g - g**2 = 0. Calculate g.
0, 1
Let l(i) be the second derivative of 1/5*i**6 - 15 + 7/2*i**3 + 2*i + 1/2*i**4 + 1/14*i**7 - 6*i**2 - 6/5*i**5. Determine c so that l(c) = 0.
-4, -1, 1
Suppose 12*p = 1415 - 1367. Factor 2/3*m**p + 2/3*m**3 + 0*m + 0 - 4/3*m**2.
2*m**2*(m - 1)*(m + 2)/3
Let o(u) be the second derivative of -u**7/168 + u**6/40 + u**5/20 + u - 110. Factor o(s).
-s**3*(s - 4)*(s + 1)/4
Suppose -8*t + 2*t + 11*t = 0. Let l(j) be the third derivative of -1/3*j**3 + t*j - 3/40*j**5 + 5/12*j**4 + 10*j**2 + 0. Factor l(p).
-(p - 2)*(9*p - 2)/2
Let b(a) = a**2 + 4*a + 4. Let k be b(-4). Suppose 2*h = q - 0*q, k*q = 2*h + 12. Solve -x**2 - x**2 - x**2 + x**h + 2 = 0 for x.
-1, 1
Let v = 4 + -1. Let p = 6 - v. Let h(a) = 12*a**4 - 15*a**3 - 3. Let s(t) = -37*t**4 + 44*t**3 + t**2 + 8. Let o(b) = p*s(b) + 8*h(b). Solve o(w) = 0.
-1/5, 0, 1
Let g be (5/(-10))/((-2)/(-4) + 0). Let y be (g/3)/((-6)/36). Find u such that -3/5*u**3 - 1/5 - 1/5*u + u**y = 0.
-1/3, 1
Let r(t) = 3*t**3 + 20*t**2 - 49*t + 50. Let g(f) = -f**3 - 2*f**2 + f. Let s(v) = -4*g(v) - r(v). Factor s(h).
(h - 5)**2*(h - 2)
Suppose 16 = l - 13*m + 10*m, 5*m + 20 = 0. Factor -3/4*y**3 - 1/4*y**l + 3/4*y + 1/4*y**2 + 0.
-y*(y - 1)*(y + 1)*(y + 3)/4
Let x(i) be the third derivative of -i**6/120 + 2*i**5/15 - 17*i**4/24 + 5*i**3/3 + 163*i**2. Factor x(a).
-(a - 5)*(a - 2)*(a - 1)
Suppose 5*s + 11*s = -9*s + 75. Factor 0*l + 1/4*l**s + 0*l**2 + 0.
l**3/4
Suppose -4*k = 3*q - 101, 82 + 1 = 3*k - 5*q. Solve -k*j - 4*j**3 - 5*j**2 + 10*j - j**4 + 14*j = 0.
-2, -1, 0
Factor 2/7*b**3 + 8/7*b**2 - 8/7*b - 2/7*b**4 + 0.
-2*b*(b - 2)*(b - 1)*(b + 2)/7
Let i(g) be the first derivative of 0*g**2 - 15 + 0*g + 2/39*g**3 + 1/26*g**4. Factor i(j).
2*j**2*(j + 1)/13
Let y(r) = -r**3 + 3*r**2 + 4*r + 2. Let b be y(4). Solve 5*a**b + 0*a**2 + 15*a + 0*a**2 + 2*a**2 + 9 + a**3 = 0 for a.
-3, -1
Let i(c) = c + 16. Let d be i(-7). Suppose 0 = -u + o + 7, d*u + 2*o = 4*u + 7. Factor -7*g**4 + u*g + 5*g**4 - g + 4*g**3 - 7*g**2 + 6*g**4.
g*(g + 2)*(2*g - 1)**2
Let w be 2*(-4)/(-44) - 8/44. Let d(o) = o**2 + 2*o. Let x be d(w). Factor -1/5*u**2 + x + 2/5*u.
-u*(u - 2)/5
Factor 108*s**2 + 216*s - 28*s**4 - 4*s**5 - 47*s**3 + 18*s**3 - 7*s**3.
-4*s*(s - 2)*(s + 3)**3
Let p = 960299/213636 + -23/2811. Let m = 1/76 + p. Suppose m*i**4 + 8*i**3 + 0 - i + 5/2*i**2 = 0. What is i?
-1, 0, 2/9
Let c(i) be the third derivative of 0*i**3 + 1/108*i**5 + 0 - 3*i**2 + 0*i +