 0. What is y?
-4, 1/2, 3, 4
Let c = -30 + 15. Let a be (14 + c)*(-2 + 0). Determine r, given that -14*r**3 + 16*r + 5*r + 120*r**a - 31*r**3 - 18*r**3 - 18 = 0.
-3/7, 1/3, 2
Let h be (-29040)/(-3960) - (-1 + 20/6). Let g(c) be the second derivative of 0 - 1/8*c**4 + 1/40*c**5 + h*c + 0*c**2 + 1/6*c**3. Factor g(k).
k*(k - 2)*(k - 1)/2
Suppose 162*r = 171*r - 351. Factor 4*k**4 - 5*k**4 + k**5 - 6*k**3 + 4*k**2 - r*k + 47*k.
k*(k - 2)**2*(k + 1)*(k + 2)
Let v be -6 - (6723/(-65) + (-189)/(-819)). Factor -v - 3/5*z**4 - 243/5*z**2 - 9*z**3 - 567/5*z.
-3*(z + 3)**3*(z + 6)/5
Let l(d) be the second derivative of 20/13*d**2 + 7/6*d**4 - 18 + 88/39*d**3 - 1/13*d**5 - 3*d. Determine t, given that l(t) = 0.
-1/2, -2/5, 10
Let n(h) be the first derivative of h**5/20 - 3*h**4/4 - 4*h**3/3 + 24*h**2 - 5647. Find x such that n(x) = 0.
-4, 0, 4, 12
Suppose 50*h = 54*h - 1240. Let z = h + -928/3. Factor 0 + z*w - 2/3*w**2.
-2*w*(w - 1)/3
Factor -200/3 - 1/3*q**3 + 58/3*q + 23/3*q**2.
-(q - 25)*(q - 2)*(q + 4)/3
Let v be (-23 - (-28397)/1241)*1/(3/(-51)). Suppose 4/13*x**v - 2/13*x**4 - 6/13*x + 12/13*x**3 - 6/13*x**5 - 2/13 = 0. Calculate x.
-1, -1/3, 1
Factor -150 + 2*i**3 + 14*i**2 - 18*i**2 - 3*i**3 + 9*i**2 - 35*i + 13*i**2.
-(i - 15)*(i - 5)*(i + 2)
Let t(x) be the third derivative of 2/3*x**3 + 0*x - 1/105*x**5 + 1/7*x**4 - 2 + 9*x**2. Let t(q) = 0. Calculate q.
-1, 7
Suppose -4*a = -34 - 70. Factor -a*h**4 + 90*h**3 + 82*h - 45*h**2 - 30*h**2 - 12 - 39*h**2 - 20*h.
-2*(h - 1)**3*(13*h - 6)
Let w(n) be the first derivative of -33 - 2/3*n**6 + 0*n - 33*n**4 - 20*n**2 + 124/3*n**3 + 52/5*n**5. Find h such that w(h) = 0.
0, 1, 10
Factor 44 + 441*u - 181 - 476 - 281 + 11*u**2 - 8*u**2.
3*(u - 2)*(u + 149)
Let b(w) be the first derivative of 1/12*w**4 + 0*w**5 - 41 + 0*w**3 + 0*w - 1/18*w**6 + 0*w**2. Solve b(g) = 0 for g.
-1, 0, 1
Let j(t) be the third derivative of 2*t**5/35 + 1159*t**4/56 - 145*t**3/14 - 3*t**2 + 496*t. Factor j(x).
3*(x + 145)*(8*x - 1)/7
Let f(a) be the first derivative of 11*a**7/525 + a**6/40 + a**5/150 + 15*a**2 + 55. Let l(n) be the second derivative of f(n). Factor l(m).
m**2*(2*m + 1)*(11*m + 2)/5
Factor -2/5*i**2 + 1776*i - 1971360.
-2*(i - 2220)**2/5
Suppose 5*w = 5*i - 35, 26*w + 5*i - 56 = 24*w. Find o such that -12/5*o**2 + 14/5 + 16/5*o - 2/5*o**4 - 16/5*o**w = 0.
-7, -1, 1
Suppose 75*h - 74*h - 2 = 0. Suppose 4 = -2*v + h, -2*v - 14 = -3*m. Solve 4*o**5 + 1 + 5*o**m + 2 + 16*o**5 - 10*o**2 + 2 - 40*o**3 + 20*o = 0 for o.
-1, -1/4, 1
Let j(z) = -2*z**5 + z**4 - z**3 - 1. Let h(c) = -4*c**5 - 88*c**4 + 386*c**3 - 664*c**2 + 320*c + 122. Let v(o) = -h(o) + 6*j(o). Solve v(a) = 0.
-1/4, 2, 4
Let n(m) be the second derivative of 249218*m**6/45 - 746242*m**5/15 + 1113013*m**4/9 + 8456*m**3/3 + 24*m**2 - 739*m. Determine s so that n(s) = 0.
-2/353, 3
Let z(w) = w**3 - 15*w**2 + 2*w - 27. Let p be z(15). Solve -3*g - 8*g**p - 14*g + 13*g**2 + 7*g**2 + 4 + g = 0.
1/2, 1
Factor 5*h**4 - 225*h**3 - 9*h**4 - 8640*h + 2736*h**2 + 33*h**3.
-4*h*(h - 6)**2*(h + 60)
Suppose 0 = 4*q + 3*q + 49. Let u = 9 + q. Factor 0*v**3 - 40*v - u*v**4 + 40*v + 2*v**3.
-2*v**3*(v - 1)
Let l be (20/(-14))/((-52)/91) + (-710)/568. Suppose -l*w**2 + 0 - 25/4*w = 0. Calculate w.
-5, 0
Let p(h) = -h**2 - 4*h + 5. Suppose r = 0, 3*r - 7*r = -4*s - 176. Let y = s + 50. Let g(t) = 9*t**2 + 31*t - 40. Let q(w) = y*g(w) + 51*p(w). Factor q(j).
3*(j - 5)*(j - 1)
Let t be 42/147 - 138/(-7). Factor -5*y**3 + y**4 + t*y - 14*y**4 + 20*y**2 + 8*y**4.
-5*y*(y - 2)*(y + 1)*(y + 2)
Let q(x) be the third derivative of x**5/20 + 15*x**4/8 - 50*x**3 + 3*x**2 + 806. Factor q(n).
3*(n - 5)*(n + 20)
Let z = 93944 + -93938. Factor z*x**2 + 1/2 + 13/4*x + 9/4*x**3.
(x + 2)*(3*x + 1)**2/4
Let m(j) be the second derivative of -j**4/90 - 386*j**3/9 - 186245*j**2/3 - 664*j - 1. Determine u so that m(u) = 0.
-965
Let a(y) be the second derivative of 1/225*y**6 + 12/5*y**2 + 0 + 4/3*y**3 - 1/15*y**5 + 13/90*y**4 - 85*y. Suppose a(s) = 0. What is s?
-1, 6
Factor -36*o + 81 + 3/4*o**3 - 15/4*o**2.
3*(o - 9)*(o - 2)*(o + 6)/4
Let h be 12/96*38*14*6. Let p = h - 396. Let -15*v**5 + 0 + 5*v - 55/2*v**2 + 40*v**p - 5/2*v**4 = 0. Calculate v.
-2, 0, 1/3, 1/2, 1
Suppose 0 = -8*q + 2*q + 144. Let 28*f - 143*f**3 + 282*f**3 - 142*f**3 - 6*f**2 + f**4 - q = 0. Calculate f.
-3, 2
Let o(s) be the second derivative of 3*s**6/40 - 17*s**5/30 - s**4/3 - 11*s**2/2 + 82*s. Let l(k) be the first derivative of o(k). Let l(m) = 0. What is m?
-2/9, 0, 4
Factor 32*p**4 - 71*p**4 + 12*p**4 + 9*p**4 + 6*p**3 + 15*p**4.
-3*p**3*(p - 2)
Let k = 83071/56670 - -3/3778. Let -2/15*b**2 - k*b - 4/3 = 0. What is b?
-10, -1
Suppose -8*i + 567 = 55. What is f in 64*f + i*f - 6*f**3 + 2*f**4 - 128*f = 0?
0, 3
Find a such that 16 - 45 + 4 + 3*a**2 + 441*a + 25 = 0.
-147, 0
Let o be (3/(-18))/((-3)/9). Let b be (-10 + 13 + -3)/(-3*(5 - 3)). Let 1/6*p**3 + 1/2*p**4 + 0 + b*p - o*p**2 - 1/6*p**5 = 0. What is p?
-1, 0, 1, 3
Find y, given that -430/7*y - 46225/7 - 1/7*y**2 = 0.
-215
Let w be 27/11 + (-66)/(-121). Find b, given that -4*b**3 + 4*b + w*b + 7*b + 2*b + 5*b**3 + 8*b**2 = 0.
-4, 0
Let o = -2023/100 + 81/4. Let q(y) be the second derivative of -1/5*y**3 + 1/75*y**6 + 43*y - 1/6*y**4 + 0 + 0*y**2 - o*y**5. Factor q(r).
2*r*(r - 3)*(r + 1)**2/5
Let g(l) be the second derivative of 1/36*l**4 + 0*l**2 + 0*l**3 + 1/60*l**5 - 38 + l. Factor g(c).
c**2*(c + 1)/3
Let f be ((-4)/(-5))/((12 - 7)/10). Let g = 484 - 2416/5. Suppose -f*a**3 + 0*a**2 + 0 + 4/5*a**5 + 0*a**4 + g*a = 0. What is a?
-1, 0, 1
Let a(p) = p**3 + 8*p**2 + 9*p + 17. Let d be a(-7). Factor -485*c**2 - 722*c**d - 10 + 210*c - 9*c**2 + 3 - 11.
-2*(c + 1)*(19*c - 3)**2
Let f(q) be the second derivative of -q**7/840 + q**6/90 - q**5/40 + 11*q**3 - 65*q. Let k(y) be the second derivative of f(y). Factor k(p).
-p*(p - 3)*(p - 1)
Factor -174 + 711 + 81*m + 66*m**2 - 179 - 172 - 171.
3*(m + 1)*(22*m + 5)
Factor 2/5*k**3 + 238/5*k + 44/5*k**2 + 196/5.
2*(k + 1)*(k + 7)*(k + 14)/5
Suppose 11*p - 443 = -47. Suppose 19*n + 27*n = p*n. Factor n*i + 0*i**2 + 2/7*i**3 + 0.
2*i**3/7
Let r be (183/12 - -1)*14*57/798. Suppose -1/4*x**4 + 0 - r*x**2 - 7/2*x**3 - 25*x = 0. Calculate x.
-5, -4, 0
Factor 51 - 48 - 21*x**2 - 198*x + 17*x**2 - 101.
-2*(x + 49)*(2*x + 1)
Determine u so that -2/3*u**3 + 10*u - 200/3 + 4*u**2 = 0.
-4, 5
Let v = 19019 + -19019. Factor v*b + 1/3*b**3 + 0 + 0*b**2.
b**3/3
Let u(f) = f**3 + 15*f**2 + 27*f - 11. Let a be u(-15). Let w = a + 10408/25. Factor -2/25*v**2 - w - 8/25*v.
-2*(v + 2)**2/25
Let k(h) = -4*h - 24. Let w be k(-7). Determine u so that -86*u + 4*u**5 - 4*u**w + 41*u + 4*u**2 - 12*u**3 + 53*u = 0.
-1, 0, 1, 2
Suppose 197*l = 261 - 309 + 442. Suppose -l*a**3 + 0*a + 0 + 2/3*a**4 + 4/3*a**2 = 0. Calculate a.
0, 1, 2
Let f(k) be the first derivative of 0*k**2 + 0*k + 1/3*k**6 - 46 + 2*k**3 - 7/4*k**4 - 11/5*k**5. What is o in f(o) = 0?
-1, 0, 1/2, 6
Let t = 141485/6 - 1839293/78. Factor 0 + 0*o + 10/13*o**2 + 12/13*o**3 + t*o**4.
2*o**2*(o + 1)*(o + 5)/13
Let g(w) = w**2 - w - 18. Let o(z) = 10*z**2 - 126*z - 1368. Let v(t) = -8*g(t) + o(t). Let v(f) = 0. What is f?
-9, 68
Let d(z) = -1. Let s(h) = 3*h + 37. Let q(i) = -5*d(i) - s(i). Let j be q(-14). Factor -3*c**2 - 6*c**3 - j + c**3 - 17*c**2 - 25*c.
-5*(c + 1)**2*(c + 2)
Factor -4/9*d**2 + 2080/9 + 44*d.
-4*(d - 104)*(d + 5)/9
Let n(d) be the first derivative of 2*d**3/9 + 77*d**2/3 - 52*d - 2557. Find q such that n(q) = 0.
-78, 1
Let y(a) be the third derivative of -a**7/525 - a**6/100 + 43*a**5/150 - 31*a**4/20 + 18*a**3/5 - 737*a**2 - 1. Let y(f) = 0. Calculate f.
-9, 1, 2, 3
Let w(k) be the second derivative of k**7/84 - 13*k**6/60 - 3*k**5/4 + 125*k**4/6 + 250*k**3/3 - 6494*k. Determine n so that w(n) = 0.
-5, -2, 0, 10
Let -19*n**3 - 75/4*n**2 - 3 + 913/4*n = 0. What is n?
-4, 1/76, 3
Let t = -243 - -243. Factor -131*y**4 + 2*y**2 + 5*y**5 + 143*y**4 + 9*y**3 + t*y**5 + 0*y**5.
y**2*(y + 1)**2*(5*y + 2)
Let z be (28/182)/((10/(-260))/(3/(-6))). Determine a, given that 0*a + 2/9*a**z - 2/9*a**3 + 0 = 0.
0, 1
Let w(v) be the second derivative of -v**7/42 - 11*v**6/15 + 227*v**5/20 - 32*v**4 + 30*v**3 - v + 621. Factor w(q).
-q*(q - 6)*(q - 1)**2*(q + 30)
Let l(m) be the sec