b) - 4*r(b). What is u in o(u) = 0?
-1, 0, 1
Let f be ((-2)/(-10) - (-23 - -25))*10/(-6). Solve -6/5*j**4 + 4/5*j**5 + 66/5*j**2 - 24/5 - 8/5*j - 32/5*j**f = 0.
-3, -1/2, 1, 2
Let f(l) be the first derivative of l - 5/3*l**3 + 2*l**2 + 14. Factor f(s).
-(s - 1)*(5*s + 1)
Let b = 504 + -502. Let p(z) be the second derivative of -8*z + 0 + 1/42*z**4 - 1/105*z**6 + 0*z**b + 1/147*z**7 + 0*z**3 - 1/70*z**5. Factor p(d).
2*d**2*(d - 1)**2*(d + 1)/7
Let u(w) be the third derivative of -w**7/735 - w**6/140 - w**5/70 - w**4/84 - 155*w**2. Find c, given that u(c) = 0.
-1, 0
Let k(y) be the first derivative of y**6/69 - 4*y**5/23 + 18*y**4/23 - 36*y**3/23 + 27*y**2/23 - 35. What is b in k(b) = 0?
0, 1, 3
Let q = -2883/7 - -412. Find r such that 1/7*r + 0 + q*r**3 + 2/7*r**2 = 0.
-1, 0
Let o(s) be the second derivative of s**7/84 + 5*s**6/12 + 21*s**5/5 + 6*s**4 - 6*s - 9. Suppose o(d) = 0. What is d?
-12, -1, 0
Let b(t) be the third derivative of 0*t**3 - 25/1344*t**8 - 1/20*t**6 - 3/56*t**7 + 0*t + 14*t**2 + 0 - 1/60*t**5 + 0*t**4. Let b(n) = 0. What is n?
-1, -2/5, 0
Let c = 315/19 - 573/38. Factor c*x**2 + 0 + 3/2*x.
3*x*(x + 1)/2
Suppose 0 - 1/3*a**2 + 10/3*a = 0. What is a?
0, 10
Let g(z) be the second derivative of z**5/5 - 31*z**4 + 1472*z**3 - 4232*z**2 + 115*z. Factor g(n).
4*(n - 46)**2*(n - 1)
Factor 8/3*p**2 - 32/9*p + 1/9*p**4 - 8/9*p**3 + 16/9.
(p - 2)**4/9
Suppose -2*f + 495 = -3*x + 121, -x - 122 = 2*f. Let w = x - -128. Let v**5 - 2*v**2 - 10/3*v**w + 4*v**3 + 1/3*v + 0 = 0. What is v?
0, 1/3, 1
Let v(t) be the third derivative of 7*t**5/78 + 71*t**4/78 + 8*t**3/39 - 158*t**2. Solve v(q) = 0.
-4, -2/35
Let y(m) = m**5 + m. Let z(r) = 2*r**5 + 4*r**4 - 6*r**3 + 4*r**2 + 2*r. Suppose 20 = -f + 5*f. Let c(w) = f*z(w) - 15*y(w). Suppose c(g) = 0. Calculate g.
0, 1
Let w be -3*(-1 + (-1)/3). Suppose -65*q + 150 - 20 = 0. Solve 4/7*n - 2/7 + 2/7*n**w + 0*n**q - 4/7*n**3 = 0.
-1, 1
Let t(z) = -2*z**2 - 40*z + 8. Let p be t(-20). Let d be -1 + 7 - 32/p. Find s such that -2/5*s**3 + 0 + s**d - 2/5*s = 0.
0, 1/2, 2
Suppose 0 = 31*o + 87 - 180. Determine a, given that 0 + 2/13*a + 4/13*a**2 + 2/13*a**o = 0.
-1, 0
Let c(n) be the second derivative of n**8/840 + n**7/105 + n**6/36 + n**5/30 - n**3/3 - 7*n. Let g(u) be the second derivative of c(u). Factor g(m).
2*m*(m + 1)**2*(m + 2)
Let b be 5 + -4 - (-2067)/42*-8. Let j = b - -395. Factor -8*h - 18/7*h**3 + j + 60/7*h**2.
-2*(h - 2)*(3*h - 2)**2/7
Find v, given that 70/3*v**4 + 76/3*v + 16/3 + 22/3*v**5 - 98/3*v**3 - 86/3*v**2 = 0.
-4, -1, -2/11, 1
Suppose 17 = 5*g - 8. Factor 5*x**5 - g*x**4 + 25*x**3 - 2*x**4 - 10*x**2 - 13*x**4.
5*x**2*(x - 2)*(x - 1)**2
Let t(q) be the third derivative of q**7/1260 - q**6/180 + q**4/8 - 18*q**2. Let f(k) be the second derivative of t(k). Factor f(g).
2*g*(g - 2)
Let r(q) = -47*q + 285. Let s be r(6). Let p(t) be the first derivative of 0*t**2 - 1/4*t**s - 5 + 0*t + 3/32*t**4. Factor p(c).
3*c**2*(c - 2)/8
Let b(f) be the third derivative of -8*f**2 + 1/3*f**4 + 0*f + 1/30*f**5 + 4/3*f**3 + 0. Let b(g) = 0. What is g?
-2
Factor 2/5*l**4 - 54872/5*l - 152/5*l**3 + 260642/5 + 4332/5*l**2.
2*(l - 19)**4/5
Let c = 39/37 - 1944/1739. Let x = c + 209/329. Determine m so that -2/7*m**3 + x - 4/7*m**2 + 2/7*m = 0.
-2, -1, 1
Suppose 8 = -3*q + 5*q. Find v, given that 4*v**3 + 2*v - q*v**5 + 6*v**3 - 6*v - 2*v**3 = 0.
-1, 0, 1
Let y be (0 - -18)/((-12)/12). Let q be (3/y)/(8/(-128)). Factor -8/3*h - q - 2/3*h**2.
-2*(h + 2)**2/3
Factor m**5 - 6*m**5 - 15*m**3 + 3*m**2 - 25*m**4 + 0*m**3 + 42*m**2.
-5*m**2*(m - 1)*(m + 3)**2
Determine b so that -2/5 - 2/5*b + 2/5*b**2 + 2/5*b**3 = 0.
-1, 1
Let f = 1822 + -1730. Suppose 112/3*z - 100/3*z**4 + 280/3*z**3 - f*z**2 - 16/3 = 0. Calculate z.
2/5, 1
Let j(f) = -4*f**4 + 64*f**3 + 12*f**2 - 88*f + 8. Let h(w) = w**4 - 21*w**3 - 4*w**2 + 30*w - 3. Let d(a) = -8*h(a) - 3*j(a). Factor d(t).
4*t*(t - 6)*(t - 1)*(t + 1)
Let i(f) be the first derivative of 21*f**5/5 + 51*f**4 + 204*f**3 + 240*f**2 - 192*f - 386. Find z such that i(z) = 0.
-4, -2, 2/7
Let h(j) be the first derivative of 8*j**3/3 + 2*j**2 - 8. Factor h(v).
4*v*(2*v + 1)
Let t(z) be the first derivative of 2*z**5/55 + 3*z**4/11 + 2*z**3/3 + 6*z**2/11 - 70. What is c in t(c) = 0?
-3, -2, -1, 0
Let b = 172 + -96. Let z = b + -73. Factor 1/2*q + 0 - q**2 + 1/2*q**z.
q*(q - 1)**2/2
What is a in -5*a - 5*a**2 - 5/4*a**3 + 0 = 0?
-2, 0
Let a(u) be the first derivative of 4/3*u - 8 - 1/2*u**2 - 1/9*u**3. Factor a(i).
-(i - 1)*(i + 4)/3
Let u = -2218 + 2220. Factor -3/7*a**5 + 0*a**3 + 3/7*a - 6/7*a**4 + 0 + 6/7*a**u.
-3*a*(a - 1)*(a + 1)**3/7
Let z(i) be the second derivative of 2*i**6/15 - 3*i**4 + 8*i**3/3 + 24*i**2 - 23*i - 2. What is j in z(j) = 0?
-3, -1, 2
Let s(k) be the first derivative of 1/3*k**3 + 3*k + 2*k**2 - 10. Factor s(n).
(n + 1)*(n + 3)
Let b(c) be the second derivative of -c**7/168 + c**6/60 + c**5/80 - c**4/24 + 14*c + 6. Suppose b(u) = 0. What is u?
-1, 0, 1, 2
Suppose -5*p = 2*m - 4, 0 = -p - m + 4*m + 11. Suppose 5*a**3 + 2*a**4 - 2*a**3 - a**3 - p*a**2 - 2*a = 0. Calculate a.
-1, 0, 1
Let a(f) = f**3 - 5*f**2 - 5*f - 5. Let k be a(6). Let b be (-2)/((-3)/(-9) - k). Find j such that 0*j**3 + 3*j**3 - j**4 - 2*j**4 - b*j - 6 + 9*j**2 = 0.
-1, 1, 2
Let f be (-9)/3*(-15)/9. What is l in 4*l**5 + 0*l**4 - l**4 - f*l**5 - 2*l**3 + 4*l**4 = 0?
0, 1, 2
Let w(j) = -2*j**3 + 355*j**2 + 536*j + 184. Let s be w(179). Factor -1/2*x**s - 45/2*x**4 - 14641/2 - 385*x**3 - 19965/2*x - 3025*x**2.
-(x + 1)*(x + 11)**4/2
Let l be (-6)/(-24)*(-20)/(-4). Suppose 5*t + 7 = -0*s + 4*s, -2*s = 4*t - 10. Suppose -j + 3*j**2 + 0 - l*j**s = 0. Calculate j.
0, 2/5, 2
Suppose 3*a + 8 = 7*a. Factor -6*d**2 + 2*d**3 - 5 + 9 + 2 - a*d + 0*d.
2*(d - 3)*(d - 1)*(d + 1)
Find w such that 13/6*w - 1 - w**3 + 1/3*w**4 + 1/6*w**5 - 2/3*w**2 = 0.
-3, -2, 1
Let z be (1/(-55 + 10))/(1/(-5)). Let w(m) be the first derivative of 2/45*m**5 - 2/9*m**2 + 3 + 0*m**3 + z*m**4 - 2/9*m. Factor w(n).
2*(n - 1)*(n + 1)**3/9
Factor -32*p**2 - 178 - 1764*p**3 + 1766*p**3 + 358*p - 150*p**2.
2*(p - 89)*(p - 1)**2
Suppose -13*q + 8*m + 20 = -17*q, -m = 4. Determine n, given that 9/8*n**q - 3/8*n**5 + 3*n**2 + 0 + 3/2*n - 3/4*n**4 = 0.
-2, -1, 0, 2
Let q be 2 + 24 - (-762)/(-30). Determine y so that 3/5 - q*y**2 + 0*y = 0.
-1, 1
Let h(c) be the first derivative of 0*c - 20/3*c**3 + 0*c**2 + 36 + 25/6*c**6 + 5*c**4 + 13*c**5. Determine l so that h(l) = 0.
-2, -1, 0, 2/5
Let k(r) be the third derivative of r**5/15 - 11*r**4/6 + 2*r**2 + 45. Factor k(z).
4*z*(z - 11)
Suppose -2/3*y**4 + 5/3*y - 14/3*y**2 + 4*y**3 + 0 - 1/3*y**5 = 0. What is y?
-5, 0, 1
Let i be 4*((-18)/144)/(16/(-4)). What is k in i*k**4 + 0*k**3 + 0 - 1/4*k - 3/8*k**2 = 0?
-1, 0, 2
Let b(f) be the second derivative of 2*f**3 + 31*f**2 + 12*f. Let q be b(-5). Suppose 1/5*d**4 - 1/5 - 2/5*d + 0*d**q + 2/5*d**3 = 0. What is d?
-1, 1
Suppose -76/3*q**2 + 0 - 16/3*q - 14/3*q**4 - 74/3*q**3 = 0. What is q?
-4, -1, -2/7, 0
Suppose 0 + 2*c**2 + 0*c + 5/2*c**3 + 1/2*c**4 = 0. Calculate c.
-4, -1, 0
Factor -2/5*v**2 + 10 - 48/5*v.
-2*(v - 1)*(v + 25)/5
Factor 33*v**3 - 2*v**5 - 55*v**3 - 43*v**3 - 28*v**4 - 23*v**3 - 80*v**2.
-2*v**2*(v + 2)**2*(v + 10)
Suppose 3*u - 26 = 5*i, 0 = 7*u - 4*u + 2*i + 2. Suppose u*s + 2*s = 0. Factor s - 4/9*t - 2/9*t**2.
-2*t*(t + 2)/9
Suppose 0 = -5*c + 14 - 4. Let j = 105 + -98. Factor 6*d**2 + j*d**2 - d - 8*d**c - 14*d.
5*d*(d - 3)
Let c = 24124/16891 - -6/16891. Let -1/7*u**2 + c + 3/7*u = 0. Calculate u.
-2, 5
Suppose -3/7*q**2 - 4332/7 - 228/7*q = 0. Calculate q.
-38
Let r(b) be the second derivative of -1/5*b**6 - 7/20*b**5 - 17*b + 0*b**2 + 0*b**4 + 0*b**3 + 0 + 1/42*b**7. Let r(z) = 0. Calculate z.
-1, 0, 7
Let y(z) be the second derivative of z**4/4 - 22*z**3 + 726*z**2 + 20*z. Factor y(b).
3*(b - 22)**2
Let l = -9773 + 9775. Solve 0 - 2*h - 2/3*h**3 - 2/3*h**4 + 10/3*h**l = 0 for h.
-3, 0, 1
Let s = -3/403 - -421/2418. Suppose 0 = -0*q - 2*q + 6. Solve -1/6 + s*b + 1/6*b**2 - 1/6*b**q = 0.
-1, 1
Let l(m) be the second derivative of 3*m**5/80 - 93*m**4/16 - 189*m**3/8 - 285*m**2/8 - 139*m. Factor l(j).
3*(j - 95)*(j + 1)**2/4
Factor -1/3*p**2 - 2/3*p + 1.
-(p - 1)*(p + 3)/3
Suppose -5*x + 502 = 462. Let i(n) 