1, 0
Let j = 300750 - 1503726/5. Solve 12/5*p**2 - j*p - 2/5*p**3 + 16/5 = 0 for p.
2
Let c(t) be the first derivative of -1/30*t**6 + 5*t - 3/20*t**5 - 1/6*t**4 + 0*t**3 + 0*t**2 + 11. Let f(r) be the first derivative of c(r). Factor f(z).
-z**2*(z + 1)*(z + 2)
Let z(a) be the first derivative of 2*a**5/25 + a**4/10 - 2*a**3/5 - a**2 - 4*a/5 + 843. Factor z(q).
2*(q - 2)*(q + 1)**3/5
Factor -2 + 0 + 42 - 50*b - 15*b**2 + 5*b**4 - 786*b**3 + 806*b**3.
5*(b - 1)**2*(b + 2)*(b + 4)
Let g(y) be the second derivative of -1/2*y**5 + 0 - 5/4*y**4 - 15/2*y**2 + 20/3*y**3 - 67*y. Determine d, given that g(d) = 0.
-3, 1/2, 1
Let t(f) = -12*f**3 - 57*f**2 + 412*f - 392. Let n(a) = 13*a**3 + 63*a**2 - 413*a + 393. Let x(l) = 7*n(l) + 8*t(l). Factor x(d).
-5*(d - 7)*(d - 1)*(d + 11)
Let s(l) = -9*l**2 + 98*l - 261. Let h be s(5). Solve -64/7*t - 64/7 + 32/7*t**2 + 32/7*t**3 - 4/7*t**h - 4/7*t**5 = 0 for t.
-2, -1, 2
Let j(d) be the first derivative of d**6/27 - 242*d**5/15 - d**4/9 + 484*d**3/9 + d**2/9 - 242*d/3 + 6211. Let j(p) = 0. What is p?
-1, 1, 363
Let o(t) be the first derivative of t**3/3 + 2*t**2 - 8*t + 2. Let v be o(-6). Find j, given that -62*j**3 + 0*j**v + 4*j + 4*j**2 + 58*j**3 - 4*j**4 = 0.
-1, 0, 1
Let p(b) be the third derivative of -b**8/112 - 3*b**7/10 - 16*b**6/5 - 86*b**5/5 - 54*b**4 - 104*b**3 - 1955*b**2. Factor p(u).
-3*(u + 2)**4*(u + 13)
Let v be 1/(-1 + 6/4). Let -3*i**3 + 20*i**3 - 11*i**3 - 8*i**v - 8*i - 8*i**3 = 0. Calculate i.
-2, 0
Suppose 3*o + 17 = -328. Let l = -344/3 - o. What is y in 4/3*y + l*y**4 + 8/3 - 2*y**2 - 1/3*y**3 = 0?
-2, -1, 2
Let z(d) = 13*d - 13*d**2 - d + 14*d**3 - 15*d**3 + 2*d + 2. Let q be z(-14). Determine w, given that -q - 107*w**2 - 12*w + 110*w**2 + 2 = 0.
0, 4
Let y(u) be the second derivative of -14/3*u**2 - 13/4*u**4 + 1/15*u**5 - 127*u + 0 + 47/6*u**3. Factor y(w).
(w - 28)*(w - 1)*(4*w - 1)/3
Factor -2145/2*w**3 - 1533675/4*w**2 - 3/4*w**4 + 0 + 0*w.
-3*w**2*(w + 715)**2/4
Let m(v) be the first derivative of v**6/480 + 7*v**5/240 - 241*v**2/2 - 223. Let b(p) be the second derivative of m(p). Suppose b(c) = 0. What is c?
-7, 0
Let h = -1561811/2 - -780906. Find p, given that 15 + h*p**2 + 17/2*p = 0.
-15, -2
Let h(i) be the first derivative of -2*i**5/3 - 4*i**4 + 70*i**3/9 - 2*i**2 + 1273. Let h(v) = 0. What is v?
-6, 0, 1/5, 1
Let v = 5895/484 - 778/121. Factor -7/2 - 1/4*w**3 - 5/2*w**2 - v*w.
-(w + 1)*(w + 2)*(w + 7)/4
Suppose -1543*s - 160 = -1623*s. Factor -27/4*k - 5/4*k**s - 5/2.
-(k + 5)*(5*k + 2)/4
Suppose -9*a + 375 - 87 = 0. Suppose 0 = -m - r, -36*m = -a*m - 4*r. Find s such that -25/2*s**5 - 6*s + m + 22*s**2 - 40*s**4 + 1/2*s**3 = 0.
-3, -1, 0, 2/5
Let y be 1*-115 + (-54)/(-9). Let j = y - -109. Determine s so that j - 2/3*s**2 + 10/3*s = 0.
0, 5
What is p in 5/2*p**5 - 29355/2*p + 2785*p**2 - 81225/2 - 185/2*p**4 + 755*p**3 = 0?
-3, 5, 19
Determine k so that -84 - 344*k - 611300*k**2 + 611302*k**2 - 262 = 0.
-1, 173
Let q(u) be the first derivative of -2*u**5/95 - 5*u**4/19 + 250*u**2/19 + 1250*u/19 + 4262. Solve q(g) = 0 for g.
-5, 5
Let s(x) be the third derivative of -2*x**7/105 - 4*x**6/15 - 2*x**5/5 + 20*x**4/3 - 50*x**3/3 + 18*x**2 + 12*x. Factor s(o).
-4*(o - 1)**2*(o + 5)**2
Let c be -7 + (0/(-1) - -10). Solve -8/5*k**2 - 4/5 - 2*k - 2/5*k**c = 0.
-2, -1
Let a(g) be the third derivative of -g**5/240 + 37*g**4/48 - 115*g**3/8 + 1238*g**2 - g. Find m such that a(m) = 0.
5, 69
Let b be (-6)/336 + 8492/2464. Suppose 6/7*o**3 + 4/7*o**4 - 2*o**2 - b*o - 8/7 = 0. Calculate o.
-2, -1, -1/2, 2
Let l(q) be the second derivative of -16/3*q**3 + 0 + 34/21*q**7 + 0*q**2 - 166/15*q**6 - 52/3*q**4 + 126/5*q**5 + 30*q. Find s, given that l(s) = 0.
-2/17, 0, 1, 2
Let n(d) = d**4 - 33*d**3 + 249*d**2 + 1087*d - 24. Let u(i) = -2*i**4 + 65*i**3 - 499*i**2 - 2176*i + 60. Let g(x) = 5*n(x) + 2*u(x). Factor g(p).
p*(p - 19)**2*(p + 3)
Factor -160*b**4 - 22*b**3 + 367*b**3 + 1290*b**2 + 20*b**5 - 1515*b**2.
5*b**2*(b - 5)*(2*b - 3)**2
Let y be 28 - (7408/240 + -3). Suppose 0 + 4/15*j**2 + y*j**3 - 2/5*j = 0. Calculate j.
-3, 0, 1
Let q = -4/17487 + 17503/69948. Suppose q*x**3 + 2*x + 4 - 7/4*x**2 = 0. Calculate x.
-1, 4
Suppose 368*z - 1326 - 958 = -200*z - 3*z. Factor -10/9*f**2 + 2/9*f**z - 2/9*f**3 + 0 - 2/3*f.
2*f*(f - 3)*(f + 1)**2/9
Find p, given that 4360*p**2 + 2001*p + 959*p + 107756*p**5 - 107761*p**5 + 1545*p**3 + 140*p**4 = 0.
-4, -1, 0, 37
Suppose -11*s + 147 = -4*s. Suppose z - 3*k = 9, k = -3*z + 4*k + s. Determine r so that 6 + z*r + 5*r - 4*r - 6*r**2 - 4*r - 3*r**3 = 0.
-2, -1, 1
Suppose -143*i + 798 = -10*i. Let h(y) be the first derivative of 0*y + 10 - 3/4*y**4 - 1/2*y**i + 0*y**2 - 6/5*y**5 + 0*y**3. Factor h(f).
-3*f**3*(f + 1)**2
Let a(r) be the first derivative of r**6/3 - 12*r**5/5 - 10*r**4 + 16*r**3 + 64*r**2 + 5280. What is w in a(w) = 0?
-2, 0, 2, 8
Suppose 2*o - 24 = -2*o - 2*a, 2*o - 5*a = 0. Suppose 8*s - o = 11. Determine d, given that 2 + 9*d**2 - 4*d - 14*d**2 + 5*d**2 + s*d**2 = 0.
1
Factor 0 + 0*w - 1/5*w**4 - 67/5*w**3 + 68/5*w**2.
-w**2*(w - 1)*(w + 68)/5
Let x(u) be the first derivative of 16 + 1/60*u**5 + 0*u**2 + 5*u - 1/36*u**4 - 1/9*u**3. Let i(s) be the first derivative of x(s). Factor i(k).
k*(k - 2)*(k + 1)/3
Let b(p) be the second derivative of -p**7/77 - 68*p**6/33 - 54*p**5/55 + 283*p**4/33 + 37*p**3/11 - 226*p**2/11 + 3*p - 844. Find j such that b(j) = 0.
-113, -1, 2/3, 1
Let n(d) = 3*d**3 - 212*d**2 + 5*d - 5. Let l(h) = -3*h**3 + 219*h**2 - 6*h + 6. Let u(o) = -5*l(o) - 6*n(o). Determine g so that u(g) = 0.
0, 59
Let l(x) = -20*x**2 - 116*x - 116. Let i(q) = -69*q**2 - 348*q - 349. Let k(h) = -2*i(h) + 7*l(h). Factor k(r).
-2*(r + 1)*(r + 57)
Let k(a) be the third derivative of -a**8/10080 - a**7/540 + a**6/60 - 37*a**4/12 + a**2 + 7. Let v(h) be the second derivative of k(h). Factor v(f).
-2*f*(f - 2)*(f + 9)/3
Let q = -135 - -134. Let r be ((-85)/340)/(q/((-16)/(-6))). Let 0 - r*g**2 - 4*g**3 - 6*g**4 + 0*g = 0. Calculate g.
-1/3, 0
Let y(n) be the second derivative of -n**10/10080 + n**8/320 + n**7/140 + 13*n**4/6 - 63*n + 1. Let b(s) be the third derivative of y(s). What is t in b(t) = 0?
-2, -1, 0, 3
Let y(p) = -6*p**2 - 32477*p - 43384348. Let j(h) = 2*h**2 + 10832*h + 14461450. Let q(b) = -11*j(b) - 4*y(b). Factor q(k).
2*(k + 2689)**2
Let x(q) = 6*q**5 + 42*q**4 + 15*q**3 - 57*q**2 - 36*q + 15. Let b(a) = a**5 + 6*a**4 + 2*a**3 - 8*a**2 - 5*a + 2. Let s(v) = -15*b(v) + 2*x(v). Factor s(n).
-3*n*(n - 1)*(n + 1)**3
Let z(f) be the third derivative of -f**5/20 - 41*f**4/8 - 20*f**3 - f**2 + 272*f + 1. Factor z(t).
-3*(t + 1)*(t + 40)
Let a(f) be the second derivative of -f**8/2240 + f**7/56 - 7*f**6/120 + 5*f**4/12 + 5*f**2 + 55*f. Let k(s) be the third derivative of a(s). Solve k(x) = 0.
0, 1, 14
Let a(p) be the second derivative of -529*p**5/5 - 6394*p**4/3 - 1106*p**3/3 - 24*p**2 + 814*p. Suppose a(o) = 0. Calculate o.
-12, -1/23
Let f = -93 + 152. Let c = 73 - f. What is l in -c*l**2 + 31*l**2 - 6*l**2 - 12 - 8*l**2 = 0?
-2, 2
Let l be (-56)/(-3)*12/8. Suppose 0 = 3*o - 5*o + m + 11, 4*o - 4*m = l. Solve o + 20*p + 23*p**2 + 0*p**3 + 1 + 7*p**3 - 1 = 0 for p.
-2, -1, -2/7
Let v(x) be the second derivative of -10*x + 2/5*x**2 + 2 + 1/15*x**3 - 1/30*x**4. Factor v(s).
-2*(s - 2)*(s + 1)/5
Let l(g) be the third derivative of -g**5/480 - 277*g**4/32 - 230187*g**3/16 + 47*g**2 + 5*g. Solve l(v) = 0.
-831
Let m = 107261/10 - 53608/5. Determine z, given that 0 + 3/2*z**3 + 6*z**2 + m*z = 0.
-3, -1, 0
Let 5/3*n**5 + 40/3*n**4 + 300 - 2755/3*n + 2860/3*n**2 - 350*n**3 = 0. Calculate n.
-20, 1, 9
Let x(s) be the first derivative of -3*s**4/16 - 589*s**3/4 - 3525*s**2/8 - 1761*s/4 + 3619. Factor x(k).
-3*(k + 1)**2*(k + 587)/4
Solve -1/4*p**3 + 11 + p - 11/4*p**2 = 0 for p.
-11, -2, 2
Solve h**2 - 680 - 12 - 24*h + 122*h + 246*h = 0 for h.
-346, 2
Let b(j) be the first derivative of -135/2*j**2 + 63 + 65*j - 5/4*j**4 + 25*j**3. Factor b(h).
-5*(h - 13)*(h - 1)**2
Let o(w) = 80*w**2 - 342750*w + 220493120. Let z(b) = 3*b**2 - 12696*b + 8166412. Let c(x) = -2*o(x) + 55*z(x). Factor c(h).
5*(h - 1278)**2
Suppose -44 = -0*r - 4*r. Suppose 2*x + r = 41. Factor -7*s**2 + x*s + 0*s + 2*s**2.
-5*s*(s - 3)
Let i = -557220 - -557222. Factor