*y**c = 0?
-1/35, 0, 1/3
Suppose 0 = -o - 0. Let w = -1268/5 + 254. Factor 2/5*j + o + 4/5*j**2 + w*j**3.
2*j*(j + 1)**2/5
Let h be (-8)/(-10)*(3 - -2). Let q be (h/6)/((-304)/(-42) + -7). What is j in -18/5*j**2 - 4/5 - 2/5*j**4 - q*j - 2*j**3 = 0?
-2, -1
Let s = 10783 - 10738. Let p(h) be the third derivative of 0*h**4 - 1/40*h**5 + 0*h - 1/160*h**6 + 0 + s*h**2 + 0*h**3. Factor p(x).
-3*x**2*(x + 2)/4
Let w(b) be the second derivative of b**6/10 + b**5/20 - 8*b - 35. Factor w(d).
d**3*(3*d + 1)
Let y(h) = 103*h**2 - 7*h - 11. Let l be y(-3). Suppose 281556 - 2841556 - 263*k**2 + 96000*k - l*k**2 + 5*k**3 = 0. Calculate k.
80
Let f(b) = -19728*b - 4*b**2 + 65 + b**2 + 19684*b. Let r(z) = -z**2 - 22*z + 33. Let n(k) = 3*f(k) - 7*r(k). Factor n(y).
-2*(y - 9)*(y - 2)
Let s(i) = -i + 23. Let m be s(15). Let n be (27/6)/9*m. Determine f so that -n*f**3 + 32*f**2 - 32*f**2 - 2*f**4 = 0.
-2, 0
Suppose 21*q + 10*q - 12*q + 17*q = 0. Let x(y) be the second derivative of -8/3*y**3 + 1/3*y**4 + q + 4*y + 0*y**2. Let x(c) = 0. What is c?
0, 4
Let i(m) = m**3 + m**2 + 10*m - 25. Let g be i(5). Let w = -172 + g. Factor 3 - 18*d**2 - 9/2*d - 21/2*d**w.
-3*(d + 1)**2*(7*d - 2)/2
Let n(i) be the first derivative of i**6/2 - 79*i**5/5 + 9*i**4/4 + 141*i**3 + 244*i**2 + 156*i - 1108. Suppose n(c) = 0. Calculate c.
-1, -2/3, 3, 26
Let o(j) = -54 - j - 12*j + 22*j. Let p be o(14). Determine x, given that -p*x**3 + 8*x**4 + 168*x**3 + 4*x**2 - 78*x**3 = 0.
-2, -1/4, 0
Let v(k) = -690*k - 687. Let a be v(-1). Let i(u) be the second derivative of -4/3*u**a + 16*u - 3*u**2 - 1/6*u**4 - 1. Find w, given that i(w) = 0.
-3, -1
Let t(q) = 10*q**3 + 8396*q**2 - 8811608*q - 3. Let x(m) = 4*m**3 - 2*m - 1. Let p(k) = -2*t(k) + 6*x(k). Factor p(f).
4*f*(f - 2099)**2
Let u(k) be the second derivative of -k**5/60 + k**4/6 + k**3/18 - k**2 - 219*k. Factor u(f).
-(f - 6)*(f - 1)*(f + 1)/3
Let j be 3*(-3)/(-3) + (-1 - -31). Let o = j + -31. Let 1 + 3*t + 104*t**2 - 5 - 102*t**o - t = 0. What is t?
-2, 1
Determine j so that 2619/2 + 1308*j - 3/2*j**2 = 0.
-1, 873
Let t(d) be the second derivative of 19*d**6/105 - 97*d**5/70 + 67*d**4/42 + 55*d**3/7 - 18*d**2/7 + d - 47. Determine c so that t(c) = 0.
-1, 2/19, 3
Let c(s) be the second derivative of 5*s**4/12 + 55*s**3/6 + 60*s**2 + 18*s + 14. Let c(g) = 0. What is g?
-8, -3
Let s = 7482336/7 + -1068904. Let x be ((-16)/28)/((-1)/10). Factor -50/7 - x*j - s*j**2.
-2*(2*j + 5)**2/7
Let o(q) be the first derivative of q**3/12 + q**2/2 - 45*q/4 + 834. Factor o(t).
(t - 5)*(t + 9)/4
Let c(y) be the third derivative of -1/6*y**3 - 4*y**2 + 0*y - 1/160*y**6 + 7/240*y**5 + 0*y**4 + 13. Solve c(x) = 0 for x.
-2/3, 1, 2
Find l such that -282/7*l**3 - 288/7 - 888/7*l - 18/7*l**4 - 864/7*l**2 = 0.
-12, -2, -1, -2/3
Factor 4/3*p**2 + 0 + 0*p + 54*p**5 + 170/3*p**3 + 328/3*p**4.
2*p**2*(p + 1)**2*(81*p + 2)/3
Let q(i) be the second derivative of 1/70*i**6 - 4/7*i**3 - 9/14*i**2 - 3/14*i**4 + 3 + 0*i**5 + 14*i. Determine k so that q(k) = 0.
-1, 3
Suppose -11*j = -30 - 3. Solve -3645 + m**5 + 4*m**5 + 1490*m**j - 121*m**4 + 7471*m + 1034*m - 6210*m**2 - 24*m**4 = 0.
1, 9
Let 2295/4 - 10*o**3 + 315/2*o**2 - 5/4*o**4 - 540*o = 0. What is o?
-17, 3
Let g(n) = 14*n**3 - 2*n**2 - 4*n + 4. Let z be g(1). Suppose 3*b = -u + 7*b + z, u = 2*b + 6. Factor 2/3*m**2 + 1/3*m + u.
m*(2*m + 1)/3
Let j(m) be the second derivative of m**4/42 - 30*m**3 + 14175*m**2 + 45*m - 12. Determine p, given that j(p) = 0.
315
Let m(d) be the first derivative of 3/5*d**5 + 135/4*d**4 - 156 + 10125/2*d**2 + 0*d + 675*d**3. Factor m(q).
3*q*(q + 15)**3
Suppose 5*s = -k + 1, 3*k - 11 = -s - 8. Let b(h) be the third derivative of 0*h**4 + s*h**3 + 1/180*h**5 + 0 + 0*h + 20*h**2. Factor b(g).
g**2/3
Let f be (-6 - (-147)/12)/((-1)/4). Let c = f + 51. Factor -10*n + n + c - 6*n**2 - 35*n + 6.
-2*(n + 8)*(3*n - 2)
Let u = -23 + 22. Let z be 99/495 + 2 + u. Suppose -z*a**3 - 6*a - 36/5 + 32/5*a**2 = 0. What is a?
-2/3, 3
Let j(n) be the third derivative of -n**4/24 + n**2 + 85. Let u(m) = m**2 - 6*m - 6. Let h(r) = -5*j(r) + u(r). Factor h(g).
(g - 3)*(g + 2)
Let z(i) be the first derivative of -i**6/360 - i**5/12 - 3*i**4/8 - 11*i**3 + 25. Let k(o) be the third derivative of z(o). Solve k(s) = 0 for s.
-9, -1
Let x(m) be the second derivative of -3 + 0*m**2 + 37/2*m**3 + 16*m + 1/4*m**4. Solve x(q) = 0.
-37, 0
Let v = -44188/3 - -14750. Factor -16/3*p**3 + 2 - 40/3*p - v*p**2.
-2*(p + 1)*(p + 3)*(8*p - 1)/3
Suppose 0 = 4*p - 2*i + 5*i - 4, 4*p = -i + 12. Suppose 3*j = -3*d + 330 - 21, p*d - 424 = 2*j. Let -y**3 + y**4 - 3*y**2 + 2*y**3 - d - y + 107 = 0. What is y?
-2, -1, 1
Let b(r) be the first derivative of 2*r**3/9 - 81*r**2 + 484*r/3 + 948. Determine w, given that b(w) = 0.
1, 242
Let y(c) be the second derivative of -2*c**7/63 + 17*c**6/15 + 8*c**5/3 + 3*c**4/2 - 1604*c. What is g in y(g) = 0?
-1, -1/2, 0, 27
Let x(u) be the first derivative of 5*u**3/3 + 1265*u**2 - 6691. Factor x(c).
5*c*(c + 506)
Let n = 1 - 1. Suppose n = 5*s - 0*s - p - 11, -s - 2*p = 0. Factor -6*y**s - y**3 + 3*y**3 - 29*y**3.
-3*y**2*(9*y + 2)
Let d = 303855 + -303850. Let -5/3*y**4 + 7/3*y**3 - y**2 + 1/3*y**d + 0*y + 0 = 0. What is y?
0, 1, 3
Factor -77*p - 624*p**4 + 622*p**4 - 106*p**2 - 45*p + 12*p + 108 + 110*p**3.
-2*(p - 54)*(p - 1)**2*(p + 1)
Factor -245 - 495*o + 172*o**2 - 357*o**2 + 175*o**2.
-5*(o + 49)*(2*o + 1)
Suppose 48426 = 10*z - 22834. Factor -z + 288*o - 209*o**2 + 214 + 206*o**2.
-3*(o - 48)**2
Let r(m) = -2*m**2 - m + 1. Let a(c) = -11*c**2 + 20 - 17*c**2 - 12*c - 20*c - 8. Let o(k) = a(k) - 12*r(k). Determine g so that o(g) = 0.
-5, 0
Let n(l) = -365*l**2 - 1355*l - 1540. Let q(g) = 53*g**2 + 193*g + 220. Let x(b) = 8*n(b) + 55*q(b). Suppose x(d) = 0. Calculate d.
-44, -1
Factor 1/2*x**2 - 11*x - 2 + 11/4*x**3.
(x - 2)*(x + 2)*(11*x + 2)/4
Let v = -4594 + 6440. Let n = v - 9132/5. Factor -2/5*r**2 + 28/5*r - n.
-2*(r - 7)**2/5
Let c = 31 + -27. Factor 4*i**2 - 36*i - 7 - 34 + c*i**3 + 5.
4*(i - 3)*(i + 1)*(i + 3)
Let j(g) = g**3 + 40*g**2 + 665*g + 3370. Let o = 618 - 612. Let i(a) = -a**3 - 39*a**2 - 663*a - 3369. Let p(b) = o*j(b) + 5*i(b). Factor p(c).
(c + 15)**3
Let g(f) be the third derivative of f**5/12 + 85*f**4/6 + 335*f**3/6 + 1882*f**2. Factor g(u).
5*(u + 1)*(u + 67)
Let n(o) be the third derivative of o**8/168 - o**7/105 - o**6/30 - 42*o**2 - 7. Suppose n(s) = 0. Calculate s.
-1, 0, 2
Factor 100*q**2 + 28*q + 9*q - q**5 - 8*q**3 + 65*q**3 - 14*q + 8*q**4 + 29*q.
-q*(q - 13)*(q + 1)*(q + 2)**2
Factor 1/4*r**3 - 565609283/4 - 2481/4*r**2 + 2051787/4*r.
(r - 827)**3/4
Determine j, given that -1543/3*j + 2/3*j**2 + 257 = 0.
1/2, 771
Suppose -52 = -7*r - 25*y + 27*y, 0 = -5*r - 5*y - 40. Let -1/4*j**r + 13/4*j**2 - 1/4*j**5 + 9/4*j**3 - 2*j - 3 = 0. Calculate j.
-2, -1, 1, 3
Suppose 204/5*b - 62/5*b**2 + 0 - 2/5*b**3 = 0. What is b?
-34, 0, 3
Let r be ((-2)/(-24))/((-239)/(-2151)). Let 0 + r*y**3 + 18*y + 21/2*y**2 = 0. What is y?
-12, -2, 0
Let l(m) be the third derivative of -m**6/660 - 2*m**5/33 - 7*m**4/12 + 98*m**3/33 + 5*m**2 - 12*m + 6. Suppose l(b) = 0. Calculate b.
-14, -7, 1
Let b be (-3 - (3 - 153)) + (1 - -3). Let y = -149 + b. What is c in 2/7*c**4 + 0 + 2/7*c**5 + 6/7*c**y - 10/7*c**3 + 0*c = 0?
-3, 0, 1
Let r(z) be the third derivative of z**6/30 - 210*z**5 + 551250*z**4 - 771750000*z**3 - 4187*z**2. Let r(f) = 0. Calculate f.
1050
Let q = 19 + -11. Suppose 25 = -q*h + 41. Solve 2*c**3 + 17 - 17 - 6*c**2 + 4*c**h = 0 for c.
0, 1
Let n(m) be the first derivative of -m**6/40 + 3*m**5/16 - 3*m**4/16 - 9*m**3/8 + 143*m - 50. Let j(p) be the first derivative of n(p). Factor j(t).
-3*t*(t - 3)**2*(t + 1)/4
Let p be ((-583)/2)/(808/(-80) - -10). Factor -10*w**2 + p*w**3 + 5*w**4 - 5*w**2 - 2925*w**3.
5*w**2*(w - 3)*(w + 1)
Let w be ((-50)/80)/(880/(-61248)). Factor -924*g + 968 - 1/2*g**3 - w*g**2.
-(g - 1)*(g + 44)**2/2
Suppose -12 = 4*a, -43 - 38 = -4*v - 5*a. Suppose 6*c - v = -0*c. Let 15*q**3 - 2*q + 10*q**3 - 33*q**c + 5*q**2 + 48*q**4 - 3*q = 0. What is q?
-1, 0, 1/3
Solve -7*c**2 + 50*c - 125*c + 2*c**2 - 4*c**2 + 4*c**2 - 180 = 0.
-12, -3
Let v(k) = -448*k**3 + 2315*k**2 - 3449*k - 72. Let i(l) = -460*l**3 + 2314*l**2 - 3450*l - 72. Let o(s) = 5*i(