 - 61*z**5/20 + 31*z**4/8 + 2*z**2 - 2*z + 945. Factor s(u).
3*u*(u - 1)**2*(u + 31)
Suppose 4131 - 220*w**2 + 4*w**3 - 2471 - 11508 + w**3 + 3145*w - 4602 = 0. Calculate w.
10, 17
Solve -784*x**2 - 1440*x - 784/5*x**3 - 66/5*x**4 - 2/5*x**5 - 800 = 0.
-10, -2, -1
Suppose -1132*u + 512*u + 301*u = -638. Factor -1512*g - 1458 - 109/2*g**u - 1/2*g**3.
-(g + 1)*(g + 54)**2/2
Let l(c) = -c**2 - 26*c - 51. Let r be l(-27). Let j be 2/13 + (-300)/r. Factor j*d**3 - 9*d**2 + 21*d**2 - 4*d**3 + 4*d**3.
4*d**2*(d + 3)
Determine t, given that -116/5*t**2 - 4/5*t**4 - 72/5 + 156/5*t + 36/5*t**3 = 0.
1, 2, 3
Let s(m) be the third derivative of m**6/60 - 251*m**5/10 + 11844*m**4 - 141376*m**3/3 - m**2 + 1321. Factor s(q).
2*(q - 376)**2*(q - 1)
Let s(d) be the second derivative of -d**5/60 + 9*d**4/2 + 109*d**3/6 + 82*d**2/3 - 1108*d. Find a, given that s(a) = 0.
-1, 164
Let y(h) be the first derivative of 70*h**2 + 125/4*h**4 + 8*h**5 + 5/6*h**6 + 190/3*h**3 + 40*h - 130. Solve y(a) = 0 for a.
-2, -1
Let k(n) be the second derivative of n**4/60 + 101*n**3/5 + 91809*n**2/10 - 1717*n. Factor k(i).
(i + 303)**2/5
Let p = 265507/13032 + 5/3258. Let n = -133/8 + p. Factor -n*l**4 + 0 + 45/4*l - 105/4*l**2 - 85/4*l**3.
-5*l*(l + 3)**2*(3*l - 1)/4
Factor 5375*h + 3590 + 5355/2*h**2 + 1765/4*h**3 - 5/4*h**4.
-5*(h - 359)*(h + 2)**3/4
Suppose -2*l - l = -150. Suppose 27*m + l = 29*m. Solve -m*t**2 - 9*t**3 + 2*t**3 + 12*t**4 + 29*t**2 - 9*t**3 = 0 for t.
0, 1/3, 1
Factor 2/7*j**2 + 0 + 240/7*j.
2*j*(j + 120)/7
Let b(y) be the second derivative of -y**6/600 - 2*y**5/75 - y**4/10 - 27*y**2 + 7*y - 3. Let s(z) be the first derivative of b(z). Solve s(u) = 0.
-6, -2, 0
Let p be 6*4/84*7. Factor a**3 + 11*a**2 - 5*a**3 + 41*a**2 - 28*a**p.
-4*a**2*(a - 6)
Factor 0*o**3 + 0*o + 6/11*o**5 + 168/11*o**4 + 0 + 0*o**2.
6*o**4*(o + 28)/11
Let a(j) be the first derivative of -32/3*j**2 - 16*j - 254 - 13/24*j**4 - 1/30*j**5 - 31/9*j**3. Suppose a(m) = 0. Calculate m.
-4, -3, -2
Let -4696*v + 310*v**2 - 628*v**2 + 330*v**2 + 1564 = 0. Calculate v.
1/3, 391
Let c(w) be the second derivative of -2*w**7/21 - 62*w**6/15 + 32*w**5/5 - 3*w - 206. Determine h so that c(h) = 0.
-32, 0, 1
Let n(m) be the first derivative of 2592/17*m + 72/17*m**2 - 69 + 2/51*m**3. Solve n(x) = 0 for x.
-36
Let n(c) = -c**2 + 37*c - 66. Suppose 8*o = -2042 + 2322. Let b be n(o). Solve 0*l + 3/5*l**3 - 1/5*l**5 + 2/5*l**2 + 0*l**b + 0 = 0.
-1, 0, 2
Let h = 111139/2 - 55566. Factor -3/4 + h*l - 11/4*l**2.
-(l - 1)*(11*l - 3)/4
Let z be (-14)/(-7) + 1/(-1). Let n be 0 + -3 + 4 + z. Factor 3*x**n - x**2 + 0*x**2 + 7*x - x.
2*x*(x + 3)
Let r = -393 - -383. Let q(k) = 4*k**3 + 8*k**2 + 9*k + 10. Let t(g) = -g**3 - g**2 - 1. Let z(f) = r*t(f) - 2*q(f). Let z(h) = 0. What is h?
-1, 5
Let o(c) be the third derivative of -c**8/140 + c**7/105 + c**6/30 - c**5/15 + 47*c**3/3 + c**2 - 2*c. Let q(u) be the first derivative of o(u). Factor q(p).
-4*p*(p - 1)*(p + 1)*(3*p - 2)
Let p(q) = q**3 - 3*q**2 + 7*q - 19. Let b be p(3). Let u(d) be the third derivative of 0*d - 2/3*d**4 - b*d**3 + 0 - 1/15*d**5 + 6*d**2. Factor u(x).
-4*(x + 1)*(x + 3)
Let a(q) be the first derivative of 0*q - 55/2*q**2 - 158 + 75*q**3 - 5*q**4. Suppose a(p) = 0. Calculate p.
0, 1/4, 11
Let l be 2376/9108 - (-1)/(-92). Factor l*x**2 + 1/2*x + 0.
x*(x + 2)/4
Let x(k) be the first derivative of -21 + 2*k**3 - 9*k**2 - 1/6*k**4 - 6*k. Let u(j) be the first derivative of x(j). Factor u(i).
-2*(i - 3)**2
Suppose 11*s - 64 - 316 = -65*s. Let h(o) be the third derivative of -1/240*o**6 + 0*o**3 + 0 + 0*o + 1/40*o**s + 1/12*o**4 + 25*o**2. Factor h(a).
-a*(a - 4)*(a + 1)/2
Let y(u) be the second derivative of -47 - 2*u - 25*u**2 + 35/6*u**3 - 5/12*u**4. Find h such that y(h) = 0.
2, 5
What is r in 0 - 1/2*r**2 - 511/4*r**3 + 0*r = 0?
-2/511, 0
Let t be ((-1664)/(-39))/(6/9). Solve 57*i**3 - t*i**3 + 12*i**3 = 0.
0
Let p(c) = -c**2 - 2*c. Let h(t) = -6*t**2 + 1280*t - 207368. Let r(v) = -h(v) + 4*p(v). Factor r(b).
2*(b - 322)**2
Let d be ((-162)/(-4212))/(2/104). Let z(t) be the third derivative of -1/10*t**5 + 3/8*t**4 + 0*t**3 + 0 - 1/40*t**6 + 42*t**d + 0*t. Factor z(j).
-3*j*(j - 1)*(j + 3)
Let b(h) be the third derivative of h**7/105 + 37*h**6/15 + 146*h**5/15 + 2*h**2 - 1405*h. Let b(k) = 0. What is k?
-146, -2, 0
Solve -84*m + 80*m**3 + 4*m - m**4 - 8*m**4 + 73 - 72*m**2 + 5*m**4 + 3 = 0.
-1, 1, 19
Determine u, given that 34/9*u**3 - 38/3*u - 2 - 62/9*u**2 = 0.
-1, -3/17, 3
Let z(u) = -3*u**3 + u + 1. Let p be z(-1). Suppose -4*i + 5 = -p. Suppose -2*o**2 - 5*o**i - 2*o**3 + 10*o**2 - 7*o**2 + 6*o = 0. Calculate o.
-3, 0, 1
Let i = -5264 - -5264. Let h(a) be the second derivative of i - 4/5*a**2 + 1/30*a**4 + 0*a**3 - 7*a. Factor h(v).
2*(v - 2)*(v + 2)/5
Let v = -125 - -2184. Let k = -2055 + v. Determine y so that -3/2*y**3 + 0*y**2 + 0*y + 0 - 3*y**k - 3/2*y**5 = 0.
-1, 0
Let c(h) be the first derivative of -2*h**5/5 - 5*h**4 - 32*h**3/3 - 1543. Determine k so that c(k) = 0.
-8, -2, 0
Let s(c) be the first derivative of -115 + 6*c + 2/3*c**3 - 5*c**2 + 1/2*c**4. Let s(d) = 0. Calculate d.
-3, 1
Suppose 0 = a - 6*a - 4*t + 2568, 3*a - 1536 = -4*t. Find m such that 96*m**3 - 74*m**2 - 108*m**3 - a*m - 117 - 121*m**2 = 0.
-13, -3, -1/4
Factor 2*n**4 - 72*n + 121 + 14*n**3 - 225 + 104.
2*n*(n - 2)*(n + 3)*(n + 6)
Let p(y) = 2*y - 123. Let f be p(34). Let d be 10/4 - f/(-30). Factor 1/3*k**2 + 0 - d*k.
k*(k - 2)/3
Let i(p) = -p**3 + 10*p**2 - 29*p + 11. Let m be i(4). Let g(n) = n**3 + 10*n**2 + 5*n - 30. Let t be g(m). Factor 3/4*z**2 + t*z - 27/4.
3*(z - 1)*(z + 9)/4
Let m(r) be the second derivative of r**8/10080 + r**7/630 + r**6/120 + r**5/45 + 2*r**4/3 - 56*r. Let d(h) be the third derivative of m(h). Factor d(y).
2*(y + 1)**2*(y + 4)/3
Let g(q) be the first derivative of 15*q**4/4 + 665*q**3/3 + 740*q**2 + 420*q - 135. Find h such that g(h) = 0.
-42, -2, -1/3
Let d be (27 - 27)/(-4 + 6). Let l(f) be the second derivative of 0*f**3 + 5*f + 0 - 1/18*f**4 + d*f**2. Factor l(r).
-2*r**2/3
Determine b, given that 40*b**3 - 8376*b**2 + 950*b - 3*b**4 - 2*b**4 + 9371*b**2 = 0.
-10, -1, 0, 19
Let g = -13 - -4. Let r = g + 16. Factor r - 9*w + 0*w**2 + 1 - 2 + 3*w**2.
3*(w - 2)*(w - 1)
Let x(r) be the third derivative of -3/8*r**4 + 4 + 1/70*r**7 + 0*r + 7/40*r**6 - 9*r**3 - 31*r**2 + 13/20*r**5. Factor x(n).
3*(n - 1)*(n + 2)*(n + 3)**2
Factor 900*s + 1770*s**2 + 1/4*s**5 + 3361/4*s**3 + 0 - 59/2*s**4.
s*(s - 60)**2*(s + 1)**2/4
Determine w, given that 2/3*w**3 - 80/3*w - 8800/3 + 58/3*w**2 = 0.
-20, 11
Suppose 3*d = 0, -d - 20 = -5*k + 4*d. Suppose 11*y - 18 = k. Factor j**5 + 0*j - 23*j**y - 5*j + 14 - 3*j + 7*j**3 + 7*j**4 + 2.
(j - 1)**2*(j + 1)*(j + 4)**2
Let f = -65 + 63. Let a be 21/(-84) - f/8. Factor 0 - 1/6*k**2 + a*k + 1/6*k**3.
k**2*(k - 1)/6
Let h(b) = -2*b**4 + 109*b**3 - 355*b**2 + 272*b + 86. Let j(l) = -5*l**4 + 328*l**3 - 1064*l**2 + 816*l + 255. Let c(u) = -7*h(u) + 2*j(u). Factor c(t).
(t - 23)*(t - 2)**2*(4*t + 1)
Suppose -2*x**4 + 3*x**4 - x**5 - 16*x + 3 - 40*x**2 - 33*x**3 - 11*x**4 - 3 = 0. Calculate x.
-4, -1, 0
Let k = 1780 + -1780. Let o(p) be the second derivative of 0 + k*p**3 - 1/30*p**4 - 1/150*p**6 - 4*p + 3/100*p**5 + 0*p**2. Solve o(n) = 0.
0, 1, 2
Let m = -259 - -217. Let h be 1*(-8)/(m - 6). Factor -1/6*z**2 + h*z + 0.
-z*(z - 1)/6
Find o such that 13/3*o**2 - 1/3*o**3 + 64/3*o + 68/3 = 0.
-2, 17
Suppose -4*d - t = -20, -16*d + 6*t - 4 = -11*d. Let o be 8 - (8 + 2 - d). Find j, given that -j + 3/2 + 1/6*j**o = 0.
3
Let j = -31260 + 223256/7. Let b = 634 - j. Factor 0*h - b*h**2 + 0 + 2/7*h**5 - 2/7*h**3 + 2/7*h**4.
2*h**2*(h - 1)*(h + 1)**2/7
Solve 202*n - 1508/5*n**2 + 504/5 - 6/5*n**3 = 0.
-252, -1/3, 1
Suppose 12*f = -8*f + 20. Let a = 246 - 491/2. Find h such that -3/2*h - a*h**2 - f = 0.
-2, -1
Let r(u) be the second derivative of -11*u**6/10 + 243*u**5/20 - 91*u**4/2 + 72*u**3 - 48*u**2 - 889*u. Find y such that r(y) = 0.
4/11, 1, 2, 4
Let j(a) be the third derivative of -1/16*a**4 + 0 - 1/600*a**5 + 4/15*a**3 - 3*a**2 - 5*a. Factor j(w).
-(w - 1)*(w + 16)/10
Factor -11/5*p + 0 + 9/2*p**2 + 1/10*p**4 - 12/5*p**3.
p*(p - 22)*(p - 1)**2/10
Suppose 1/5*h**4 + 394/5*h - 132/5*h**3 - 3/5*h**2 + 264/5 = 0. Wh