14/15 - 2/15*y**4 - 44/15*y - x*y**3.
-2*(y + 1)**3*(y + 7)/15
Let a(f) be the third derivative of 0*f - 21*f**2 + 6 + 1/15*f**5 - 31/3*f**4 - 42*f**3. Factor a(y).
4*(y - 63)*(y + 1)
Suppose 2*j + 3*y + 15 = 3*j, -4*j + y + 16 = 0. Find o such that -31*o - 12*o**2 - 20*o**2 + 7*o**2 - 5*o**j + 40 + 21*o = 0.
-4, -2, 1
Factor 2934/5*v + 3/5*v**2 + 0.
3*v*(v + 978)/5
Determine c so that 2/13*c**2 - 54/13 - 12/13*c = 0.
-3, 9
Let q(y) be the first derivative of 2*y**3 + 3/2*y**4 - 12*y - 7*y**2 - 2/5*y**5 + 67. Find p such that q(p) = 0.
-1, 2, 3
Let b = 52243 - 261212/5. Suppose -3/5*i**3 - 6/5*i**2 + 0*i + 0 + b*i**4 = 0. What is i?
-1, 0, 2
Let c(l) be the third derivative of -1/140*l**6 + 0 + 1/105*l**5 + 1/7*l**4 + 63*l**2 - 8/21*l**3 + 0*l. What is d in c(d) = 0?
-2, 2/3, 2
Suppose 2*f - 3*i - 29 = -36, 3*i = -3*f + 27. Let k = -108 - -108. Factor -1/3*o + 1/3*o**3 + k - 1/3*o**2 + 1/3*o**f.
o*(o - 1)*(o + 1)**2/3
Suppose 10985*u = 11836*u - 2553. Let -107/6*k - 9/2*k**u + 7/3 + 34*k**2 = 0. Calculate k.
2/9, 1/3, 7
Let h = 8 - 3. Let q = -33062 + 99188/3. What is k in -2/3*k**h - 1/6*k**2 + 1/6*k**4 + 0*k + 0 + q*k**3 = 0?
-1, 0, 1/4, 1
Let m(o) be the first derivative of 40 + 512*o + 1/6*o**3 + 16*o**2. Factor m(y).
(y + 32)**2/2
Let v be ((-24)/20)/(224/60). Let z = v + 137/252. Factor -4/3*x**2 - z*x**3 - 10/9*x + 0.
-2*x*(x + 1)*(x + 5)/9
Let b(f) be the first derivative of -f**4/2 + 34*f**3 - 192*f**2 + 376*f - 1134. What is a in b(a) = 0?
2, 47
Let g(p) be the third derivative of p**6/96 + 73*p**5/240 + 5*p**4/12 - 7*p**3/6 + 11*p**2 - p. Let g(b) = 0. What is b?
-14, -1, 2/5
Suppose n - 6*n = 220. Let a = -43 - n. Factor -12 + 2 + 0*z**2 + a - 12*z - 3*z**2.
-3*(z + 1)*(z + 3)
Let k = -184940 - -184943. Factor 0 + 1/11*u**5 - 1/11*u + 0*u**k - 2/11*u**4 + 2/11*u**2.
u*(u - 1)**3*(u + 1)/11
Let d be (-6)/(-4) + (-4)/8*3. Suppose -y - 6*g = -4*g - 12, -5*y - 2*g + 20 = d. Factor -13*b**2 + 7*b**2 - 18 - 9*b**y + 51*b.
-3*(b - 3)*(5*b - 2)
Let r(v) be the third derivative of -1/4*v**5 - 70*v**2 - 125/6*v**3 - 25/8*v**4 + 0*v - 1/120*v**6 + 0. Factor r(c).
-(c + 5)**3
Factor 0*c + 0*c**2 + 0 + 1/3*c**4 - 2*c**3.
c**3*(c - 6)/3
Suppose 5*l - 12 = -g + 5, -3*g + 4*l + 13 = 0. Let v(o) = -o**3 + 7*o**2 + o - 5. Let d be v(g). Factor d*u + 0 + 1 - 8*u**2 + 8*u - 3.
-2*(u - 1)*(4*u - 1)
Let g(y) be the first derivative of -52*y**3/3 - 34*y**2 - 16*y + 244. Factor g(d).
-4*(d + 1)*(13*d + 4)
Let y(m) = -198*m + 2579. Let c be y(13). Let p(f) be the third derivative of 31*f**2 - 1/12*f**4 + 0*f**3 - 1/120*f**c + 0*f + 0. Find o, given that p(o) = 0.
-4, 0
Suppose 0 - 518/3*b - 88/3*b**2 - 2/3*b**3 = 0. Calculate b.
-37, -7, 0
Let g(s) be the first derivative of 160*s - 48 + 1/4*s**4 - 66/5*s**3 + 192*s**2. Factor g(c).
(c - 20)**2*(5*c + 2)/5
Let j(n) be the second derivative of n**4/15 + 52*n**3/15 - 62*n**2 - 102*n - 3. Factor j(d).
4*(d - 5)*(d + 31)/5
Let d = 1334 + -1331. Let n be 186/372*10/d. Find z, given that -1/6*z**2 + n*z + 0 = 0.
0, 10
What is f in -4424/11 - 2/11*f**2 + 4426/11*f = 0?
1, 2212
Let q(p) be the first derivative of 7/120*p**6 + 5/2*p**2 + 1/3*p**4 + 0*p - 19/60*p**5 + 2/3*p**3 + 9. Let g(k) be the second derivative of q(k). Factor g(w).
(w - 2)*(w - 1)*(7*w + 2)
Let v(z) be the first derivative of -z**4/6 - 2*z**3/3 + 8*z/3 + 1142. Factor v(i).
-2*(i - 1)*(i + 2)**2/3
Let z(o) = 3*o**2 - o + 3. Let x(n) = -n**3 + 8*n**2 - 20*n + 6. Let a(g) = x(g) - 5*z(g). Find c, given that a(c) = 0.
-3, -1
Let y = -26443/8 + 3308. Let z(a) be the first derivative of -18 - 3/2*a + 9/4*a**3 + y*a**2. Factor z(j).
3*(j + 1)*(9*j - 2)/4
Find j such that 4*j**3 + 15*j**2 - 3*j - j**3 + 519 - 519 - 39*j = 0.
-7, 0, 2
Suppose -194 = -7*j - 61. Find k such that 10*k - 12 - 6*k**3 - j*k**2 + 5*k - k**2 + 41*k**2 = 0.
-1, 1/2, 4
Let s = 3/6425 - -1276/19275. Let m(p) be the first derivative of 2/5*p + s*p**3 - 29 + 3/10*p**2. Factor m(f).
(f + 1)*(f + 2)/5
Suppose -1/5*o**5 + 24/5*o**4 - 2322/5*o**2 - 17496/5 - 12636/5*o + 63/5*o**3 = 0. Calculate o.
-6, -3, 18
Let t be (-20)/(-6) + -1 + (-4 - 14/(-3)). Factor -4/7*z**t + 2/7*z**4 + 288/7 + 48/7*z - 46/7*z**2.
2*(z - 4)**2*(z + 3)**2/7
Let h be (-5 + 1)*(15 - 16)*-80. Let f be 3*4/(-9)*24/h. Factor 0*y + 0 - f*y**2.
-y**2/10
Let z(b) be the first derivative of -1/24*b**4 + 85 + 0*b - 7/6*b**2 - 1/2*b**3. Solve z(t) = 0.
-7, -2, 0
Let m(s) be the first derivative of s**8/5040 + 13*s**7/1260 + 169*s**6/1080 + 11*s**3/3 + 2*s + 289. Let l(w) be the third derivative of m(w). Solve l(v) = 0.
-13, 0
Let a be 15/(-120) - (-275)/(-616) - (-116)/154. Suppose 0 = -4*y + 4*z - 8, -4*y + 29 = 5*z - 8. Factor 0 + 0*h + 0*h**2 + 4/11*h**4 + a*h**y.
2*h**3*(2*h + 1)/11
Suppose -18*d - 7*d + 8*d = 0. Factor -17*b**2 + 8 + 10*b - 2*b**3 + d*b**3 - 8*b**3 + 0*b**3.
-(b + 2)*(2*b + 1)*(5*b - 4)
Let b(x) = -4*x**2 + 20. Suppose -8*z + 2*z + z = 0. Suppose -5*g - 33 - 7 = z. Let m(f) = -3*f**2 + 13. Let t(h) = g*m(h) + 5*b(h). Factor t(i).
4*(i - 1)*(i + 1)
Suppose 3*z + 4*v - 10 = 0, -12*v - 4 = -z - 14*v. Suppose 50 = z*h + 42. Factor 0*p**3 - 3/2*p + 3/2*p**5 + 3*p**h - 3*p**2 + 0.
3*p*(p - 1)*(p + 1)**3/2
Suppose -4*a = -3*u + 46 + 129, 0 = 4*a - 8. Suppose -u = -3*y + 38. Let y*f + 3*f**2 - 29*f + 2*f**2 - 3*f**2 = 0. What is f?
-2, 0
Let h(c) be the first derivative of -c**7/168 + c**6/18 - 2*c**3/3 + 80. Let y(d) be the third derivative of h(d). Factor y(s).
-5*s**2*(s - 4)
Suppose -3*w + w = -54. Let c = w - 7. What is r in 1 + 4*r - 1 + 4*r**2 - c*r = 0?
0, 4
Let x be 79 + -87 - 3543/(-441). Let u(s) be the second derivative of 0 + 17/105*s**6 - 3*s - 3/10*s**5 + 0*s**2 + 11/42*s**4 - 2/21*s**3 - x*s**7. Factor u(g).
-2*g*(g - 1)**3*(5*g - 2)/7
Let g(l) = -67*l - 804. Let o be g(-12). Let w(p) be the second derivative of 1/12*p**4 + 0 + o*p**3 - 1/2*p**2 - 37*p. Factor w(s).
(s - 1)*(s + 1)
Let n(r) be the first derivative of r**5/15 + 4*r**4/3 + 30*r**2 - 105. Let z(c) be the second derivative of n(c). Let z(a) = 0. Calculate a.
-8, 0
Suppose -6 = -c, 0 = 2637*o - 2640*o + c. Find b, given that -5/3*b**o - 2/3*b - 2/3*b**3 + 0 = 0.
-2, -1/2, 0
Let u(s) = -181*s**2 - 319*s + 633. Let d(n) = 80*n**2 + 160*n - 316. Let z(a) = 9*d(a) + 4*u(a). Let z(j) = 0. What is j?
2, 39
Let q(r) be the first derivative of -r**4/6 + 2104. Factor q(b).
-2*b**3/3
Let l be (-13 - (31 - 38)) + 118/7. Factor 2*k**3 + 78/7*k - l*k**2 + 72/7.
2*(k - 3)**2*(7*k + 4)/7
Suppose -8*k + 0 + 0 = 0. Factor -q**3 - 2 - 2*q**2 + k*q + 5*q + 0*q - q**2 + q**4.
(q - 1)**3*(q + 2)
Let 21057*r**3 - 4044960*r - 1987*r**3 + 17 + 6054720*r**2 - 17 - 366*r**4 + 381*r**4 = 0. What is r?
-636, 0, 2/3
Let x be (-4*26/12)/((-4)/30). Suppose 0 = -x*h + 63*h + 10. Let 20*b**3 - 16*b - 46 + 20*b**2 - 5*b**4 + 30 + b**4 - 4*b**h = 0. What is b?
-2, -1, 1, 2
Let w be (1/6)/((28 - -2)*28/630). Determine m so that 17/8 - 9/4*m + w*m**2 = 0.
1, 17
Let 89 - 4792*v - 458 + 3682*v - 3*v**4 - 106*v**3 - 1116*v**2 - 272*v**3 = 0. Calculate v.
-123, -1
Let u = -6821 - -6825. Let y(q) be the first derivative of 0*q - 1/8*q**2 - 1/16*q**u + 1/6*q**3 + 21. Factor y(b).
-b*(b - 1)**2/4
Suppose d - 32 = -4*p, 5*p + 7 = -3*d + 40. Let q be p + (-7 + 6)/2. Factor 3/2*s**2 + q*s + 5.
(s + 5)*(3*s + 2)/2
Let r = 67907/7982 + -30/3991. Factor 0*k + 0 - 7*k**3 - 9/4*k**5 + r*k**4 - 2*k**2.
-k**2*(k - 2)**2*(9*k + 2)/4
Let d(a) = -17*a**2 + 40*a - 37. Suppose 4*j = 12 + 16. Let q(r) = 1 - 1305*r**2 + 1297*r**2 - 19 + 20*r. Let x(t) = j*q(t) - 3*d(t). Factor x(v).
-5*(v - 3)*(v - 1)
Let i(z) = -3*z**2 + 8*z - 9. Let c be i(4). Let d(p) = -p**2 - 26*p - 22. Let g be d(c). Determine y so that 3*y - 9*y**2 - 1 - 1 + 5 - 6*y**2 + 9*y**g = 0.
-1/3, 1
Suppose -10*k + 6*k = 2*v - 14, -3*v = k - 1. Factor 295 + 69*b**2 - 76*b**2 - 307 + b**k - 2*b**3 + 20*b.
(b - 2)**2*(b - 1)*(b + 3)
Let d(x) be the first derivative of x**5/15 - x**4/2 - 71*x**2 + 160. Let y(f) be the second derivative of d(f). Determine j, given that y(j) = 0.
0, 3
Let z(y) be the third derivative of -y**5/12 + y**4/6 - 2*y**3/3 + 67*y**2. Let r(v) = 17*v**2 - 11*v + 14. Let j(d) = -6*r(d) - 21*z(d). Factor j(l).
3*l*(l - 6)
Let a(d) = -3*d**4 + d**2. Let x(z) = 14*z**4 + 17*z**3 - 62*z**2 + 67*z - 26. Let