(p).
-3*p*(p - 5)*(p + 1)
Let u = -667 + 361. Let s = u + 309. Factor 0*v**2 + 9/2*v - 3/2*v**s - 3.
-3*(v - 1)**2*(v + 2)/2
Let z(t) be the second derivative of -2/3*t**4 + 1/30*t**6 - 67*t + 0 - 2/5*t**5 + 16*t**3 + 72*t**2. Factor z(q).
(q - 6)**2*(q + 2)**2
Let b(s) be the first derivative of -s**3 + 1314*s**2 - 575532*s - 3106. Factor b(q).
-3*(q - 438)**2
Let o(p) = -22*p**2 + 55*p - 22. Let u be o(2). Let v(a) be the second derivative of -17/15*a**3 + 1/3*a**4 + u + 8/5*a**2 - 1/50*a**5 - 21*a. Factor v(l).
-2*(l - 8)*(l - 1)**2/5
Let i = 188 + -177. Determine b, given that 8*b - 123*b**3 + i*b**4 - 31*b**4 + 91*b**3 + 3*b**2 - 7*b**2 = 0.
-1, 0, 2/5
Let v(y) = -y**2 - 50*y - 335. Let u be v(-8). Let g be u/(-18)*2*(-34 + 4). Factor -g*p**2 - 5/3*p**4 - 5*p**3 + 0*p + 0.
-5*p**2*(p + 1)*(p + 2)/3
Factor 0 + 179*c - 1/2*c**2.
-c*(c - 358)/2
Let d(g) be the first derivative of 18*g - g**3 - 97 + 15/2*g**2. What is n in d(n) = 0?
-1, 6
Factor 405 + 393*v**3 - 4770*v - 1075*v**2 - 179*v**3 - 127*v**3 - 147*v**3.
-5*(v + 9)**2*(12*v - 1)
Let r(v) be the first derivative of 7*v**3/15 + 467*v**2/5 - 536*v/5 - 3059. Factor r(u).
(u + 134)*(7*u - 4)/5
Find f, given that 83*f**2 + 5*f**3 - 359*f**2 - 72*f**2 + 114*f**2 + 540*f - 46*f**2 = 0.
0, 2, 54
Let r = -2126 - -2130. Let i(b) be the third derivative of -1/105*b**5 + 1/28*b**r + 2/21*b**3 + 0 + 0*b + 11*b**2. Factor i(c).
-2*(c - 2)*(2*c + 1)/7
Let z(l) be the third derivative of l**7/420 + 7*l**6/80 + 7*l**5/15 + 3*l**4/4 + 143*l**2 + 17. Solve z(s) = 0 for s.
-18, -2, -1, 0
Suppose 3*r - 4*r = -5*z - 160, -64 = 2*z + 3*r. Let f = z - -34. Solve -22*d**2 - 10*d**3 + 3 + 27*d**f + 25*d + 7 = 0 for d.
-1, -1/2, 2
Let m = 93878/37 + -2537. Let k = 1/148 + m. Factor -3/4*c**2 + 1/4*c + 1/2 - 1/4*c**3 + k*c**4.
(c - 2)*(c - 1)*(c + 1)**2/4
Let v(u) = 9*u**2 - 57*u - 54. Let j(g) = -2*g**2 - 5*g**2 + 45*g + 56 + 42*g - 30*g. Let p(c) = 3*j(c) + 2*v(c). Solve p(z) = 0.
-1, 20
Determine u so that 2/3*u**2 - 4/3*u + 0 - 1/6*u**4 + 1/3*u**3 = 0.
-2, 0, 2
Factor -10*k**3 + 0*k + 0 + 18/7*k**2 - 8/7*k**4.
-2*k**2*(k + 9)*(4*k - 1)/7
Let l(t) be the third derivative of t**5/20 + 419*t**4/2 + 351122*t**3 - 2672*t**2. Factor l(w).
3*(w + 838)**2
Let w(y) = y**2 + 10*y + 1. Let h be w(-11). Let k = 17 - h. Factor -12*z**2 - z**4 + k*z**4 - 2*z - 6*z.
4*z*(z - 2)*(z + 1)**2
Let w(m) be the third derivative of -m**6/40 + 727*m**5/20 + 1457*m**4/8 + 729*m**3/2 + 2*m**2 + 2*m + 2989. What is a in w(a) = 0?
-1, 729
Let b(k) = k**3 + k**2 - 7*k + 5. Let m be b(-3). Suppose 3*s = -f + 3, 3*f + m = s + 7. Suppose -2/9*t**2 - 2/9*t**3 + 0*t + f = 0. Calculate t.
-1, 0
Let m(s) be the second derivative of -6*s**6/5 + 13*s**5 - 5*s**4/3 - 130*s**3/3 + 28*s**2 - s + 525. Solve m(l) = 0.
-1, 2/9, 1, 7
Let l(a) be the third derivative of -a**7/1470 + a**6/60 - 73*a**5/420 + a**4 - 24*a**3/7 - 13*a**2 - 4. Factor l(r).
-(r - 4)**2*(r - 3)**2/7
Let t be (-7360)/(-3450)*2/8. Let j(c) be the first derivative of 17 - 2/75*c**5 - 4/5*c**2 - 1/5*c**4 - t*c - 26/45*c**3. What is y in j(y) = 0?
-2, -1
Let z(f) be the third derivative of -f**6/200 + 17*f**5/20 + 185*f**4/8 + 475*f**3/2 + 110*f**2 + 7. Determine h so that z(h) = 0.
-5, 95
Let r(d) be the first derivative of -56 + 2/15*d**3 + 1/15*d**2 - 1/30*d**4 - 2/5*d. What is w in r(w) = 0?
-1, 1, 3
Let p(a) be the first derivative of a**4/20 + 74*a**3/15 - 1814. Find w, given that p(w) = 0.
-74, 0
Solve -1397*b - 1815/2 + 95/3*b**3 - 1/2*b**4 - 1372/3*b**2 = 0.
-5/3, -1, 33
Let t(p) be the second derivative of 338*p**7/3 - 13117*p**6/15 + 191527*p**5/80 - 43777*p**4/16 + 1575*p**3 - 486*p**2 - p + 1021. Suppose t(j) = 0. What is j?
4/13, 3/7, 9/4
Let i(x) be the second derivative of x**9/34020 - x**7/2835 + x**5/270 - 29*x**4/6 + 85*x + 2. Let l(d) be the third derivative of i(d). Factor l(k).
4*(k - 1)**2*(k + 1)**2/9
Factor -23/2*k**2 - 38*k - 26 + 1/2*k**3.
(k - 26)*(k + 1)*(k + 2)/2
Let n(c) be the third derivative of -3*c**3 + 1/240*c**6 - 2/3*c**4 + 0 - 93*c**2 - 1/24*c**5 + 0*c. Factor n(y).
(y - 9)*(y + 2)**2/2
Let m = -34 + 33. Let q be -2 + (2 - m) - -4. Factor g**q - 2*g**3 + 6*g**3 + g**3 - 229*g**4 + 233*g**4 + 2*g**2.
g**2*(g + 1)**2*(g + 2)
Let d(p) be the first derivative of p**6/2 - 21*p**5/5 + 9*p**4 - 272. Factor d(v).
3*v**3*(v - 4)*(v - 3)
Let h = 313909/8 - 39236. Factor -h*s + 3/4 + 21/8*s**3 - 3/4*s**2.
3*(s - 1)*(s + 1)*(7*s - 2)/8
Suppose -5*p - 31 - 16 = -2*j, p + 83 = 5*j. Let i be 4/(-5)*12/j - -1. Suppose 2/5*v**2 + i - 4/5*v = 0. Calculate v.
1
Let f(r) be the second derivative of 3*r**5/20 + 131*r**4/4 + 65*r**3 + 129*r. Factor f(p).
3*p*(p + 1)*(p + 130)
Let a = -3298/15 + 662/3. Find x, given that 1/5*x**2 - 4/5*x + 1/5*x**3 - a = 0.
-2, -1, 2
Suppose -17 - 95 = -14*d. Suppose 25 + d*p**2 + 2*p**2 - 30*p - 4*p**2 - p**2 = 0. What is p?
1, 5
Let u(y) be the second derivative of y**6/480 - y**5/80 - 3*y**4/32 + y**3/6 + 8*y**2 - 5*y + 2. Let g(j) be the second derivative of u(j). Factor g(d).
3*(d - 3)*(d + 1)/4
Let i(f) be the third derivative of -f**7/420 - 17*f**6/240 + 8*f**5/15 + 5*f**4/3 - 7*f**2 + 8. Factor i(y).
-y*(y - 4)*(y + 1)*(y + 20)/2
Let u(v) be the second derivative of 0*v**3 + 17*v + 3*v**2 - 1/18*v**4 + 1/90*v**5 + 0. Let y(l) be the first derivative of u(l). Let y(d) = 0. Calculate d.
0, 2
Suppose 5*q + 2*h + 1 - 15 = 0, -4*h + 8 = 0. Suppose 37*z - 36*z - 4*c = 10, q = 5*z + 4*c. Let -1/4*u**z - u - 3/4 = 0. Calculate u.
-3, -1
Let t be 8/(-70)*(-6300)/360. Let x be ((-2)/9)/((-4)/6). Factor -x*r**t + 1/3*r**3 - 5/3*r - 1.
(r - 3)*(r + 1)**2/3
Suppose 0 = l - 6*l - 975. Let k be (26/l)/((-1)/3). Find h such that -2/5*h + 4/5 - 6/5*h**2 + k*h**3 + 2/5*h**4 = 0.
-2, -1, 1
Let s = 37422 + -13444. Suppose 2*x + 4*v - s = -0*v, -x = -2*v - 12005. Solve x - n**3 - 11997 - n**4 = 0 for n.
-1, 0
Let k(h) = h**2 + 763*h + 764. Let d be k(-1). Solve 0*c**d + 4/5*c**3 - 1/5*c**5 + 0*c**4 + 0*c + 0 = 0.
-2, 0, 2
Let k = -845559 - -845563. Factor -1/3*z**2 + 0 - 2*z**3 - 5/3*z**k + 0*z.
-z**2*(z + 1)*(5*z + 1)/3
Let q = 3635639/17 - 213861. Let 0 + 2/17*o - q*o**2 = 0. What is o?
0, 1
Suppose -2*t = -17*a + 14*a - 65, 105 = 3*t - 2*a. Factor -81*y**2 - 1 - y**4 + 46*y**2 + t*y**2.
-(y - 1)**2*(y + 1)**2
Let h(l) be the first derivative of -4/5*l**3 - 12/25*l**5 - 15 + 0*l - 1/15*l**6 + 0*l**2 - 11/10*l**4. Find t, given that h(t) = 0.
-3, -2, -1, 0
Let w = -97223/20 + 24307/5. Find a, given that 16*a + w*a**2 + 256 = 0.
-32
Suppose 7*s + 8 = 3*o, 0 = -27*o + 31*o - 4*s - 16. Find l, given that 1/4*l**2 + 1/2*l**o - 7/4*l**3 + 5/4*l + 1/4*l**4 - 1/2 = 0.
-2, -1, 1/2, 1
Let b(y) be the second derivative of -y**5/5 - 5*y**4 - 32*y**3 - 88*y**2 + 806*y + 2. Factor b(u).
-4*(u + 2)**2*(u + 11)
Let i(y) be the first derivative of -13/7*y - 2/21*y**3 - 11 - 27/14*y**2. Find p such that i(p) = 0.
-13, -1/2
Let p(u) be the third derivative of u**5/15 + u**4 + 10*u**3/3 - 1245*u**2. Factor p(r).
4*(r + 1)*(r + 5)
Suppose 0 = 10*k - 9*k + z - 3, z = 5*k - 15. Let p(m) be the second derivative of 1/5*m**5 - 7*m**4 + 98*m**k - 686*m**2 + 7*m + 0. Factor p(q).
4*(q - 7)**3
Determine i, given that -5/4*i**5 - 65*i**4 + 0 + 5655*i**2 - 1255/2*i**3 - 37845/4*i = 0.
-29, 0, 3
Let u(i) = -395*i - 45. Let h be u(-1). What is y in 289 + 1019*y**2 + 19 + h + 1386*y**2 + 1342 + 4200*y + 210*y**3 + 5*y**4 = 0?
-20, -1
Let c be (3/(-8)*2)/(((-5742)/44)/87). Let t(a) be the first derivative of 16 + 0*a**2 + 0*a - c*a**4 + 0*a**3. Solve t(y) = 0.
0
Let k(q) be the third derivative of 1/5*q**3 + 0*q + 1/1680*q**8 + 0 + 0*q**6 + 2/525*q**7 - 1/120*q**4 - 59*q**2 - 1/30*q**5. Suppose k(s) = 0. What is s?
-3, -2, -1, 1
Let t = -6899 + 6901. Let q(n) be the first derivative of 2/3*n**3 + 1 + 1/2*n**t - n. Determine z so that q(z) = 0.
-1, 1/2
Let g be (-390)/(-280) + (-2)/14. Let c = 9/4 + g. Factor -10*j - c*j**3 + 4 - 13*j**2.
-(j + 2)**2*(7*j - 2)/2
Let o(q) be the first derivative of -q**4/2 + 1080*q**3 - 874800*q**2 + 314928000*q + 3109. Let o(c) = 0. Calculate c.
540
Let q(h) be the first derivative of h**4/7 + 8*h**3/3 - 26*h**2 - 2720*h/7 + 5871. Find m such that q(m) = 0.
-17, -5, 8
Suppose 0 = -3*h - 2*q + 424, -4*q + 3*q + 702 = 5*h. Let l = h + -555/4