 0 + 12*m**3 - 3/2*m**4.
-3*m*(m - 5)*(m - 2)*(m - 1)/2
Let x be (6 + 42/(-9))*3/2. Factor -95 + 4*p**x + 6*p - 22 + 10*p + 33.
4*(p - 3)*(p + 7)
Suppose 14*t - 1 = 27. Let q(z) be the second derivative of 1/15*z**3 + 0 - 1/75*z**6 + 1/105*z**7 - 6*z - 1/5*z**t - 1/25*z**5 + 1/15*z**4. Factor q(a).
2*(a - 1)**3*(a + 1)**2/5
Let m = -221 - -252. Let -40*i + 17*i**3 + 27*i**3 - m*i**4 + 7*i**5 + 19*i**2 + 12 - 11*i**3 = 0. What is i?
-1, 3/7, 1, 2
Let p(k) = 8*k - 46. Let x be ((-1)/((-2)/4))/(5/15). Let w be p(x). Factor 5*d**4 - 35*d**4 - 30*d**w + 10*d**4 + 5 + 5*d**4 - 40*d**3.
-5*(d + 1)**3*(3*d - 1)
Let k(t) be the second derivative of 2*t**6/3 + 285*t**5/4 - 1085*t**4/12 - 60*t**3 - 765*t. Solve k(d) = 0.
-72, -1/4, 0, 1
Suppose 3*v = -13*v. Suppose 0 = 5*a + i - 15, 5 = 3*a - 5*i - 4. Factor -1/3*x - 1/2*x**2 + 1/2*x**a + 1/3*x**4 + v.
x*(x - 1)*(x + 2)*(2*x + 1)/6
Suppose 320 = 18*v - 8*v. Determine c, given that 3*c**5 - 49*c + v*c + 20*c + 18*c**3 - 15*c**2 - 12*c**4 + 3*c**2 = 0.
0, 1
Let o(k) = -k**4 + 2*k**3 + 3*k**2 + 31*k + 16. Let p(j) = 2*j**3 + j. Let t(u) = -2*o(u) + 10*p(u). Solve t(y) = 0.
-8, -1, 2
Let m = 39 + -79. Let i be 6/8 + 2*15/m. Let -15 + 48*w**3 + 12 - 21*w - 24*w**2 + i*w**2 = 0. Calculate w.
-1/4, 1
Let c be (-5*1/2)/(5/6*-2). Factor 0 - 9/2*r + c*r**2.
3*r*(r - 3)/2
Let q be (-6)/(-51) + (-25614)/220320. Let y(r) be the third derivative of 1/18*r**3 + q*r**6 + 0*r + 1/90*r**5 + 0 + 11*r**2 + 5/144*r**4. Factor y(f).
(f + 1)**2*(f + 2)/6
Let x(r) be the third derivative of -r**8/756 + r**7/945 + 19*r**6/540 + 31*r**5/270 + 19*r**4/108 + 4*r**3/27 + 974*r**2. Determine p, given that x(p) = 0.
-1, -1/2, 4
Let w = 1531 - 1099. Let u be (4/24)/(16/w). Factor 3/2*n**3 - u*n**2 - 15/2*n + 3/2*n**4 - 3.
3*(n - 2)*(n + 1)**3/2
Let b be (2/(-78) + 17*(-396)/(-3978))/(6/352). Determine f, given that -2/9*f**3 + 968/9 - b*f - 86/9*f**2 = 0.
-22, 1
Let p(j) be the first derivative of -121*j**3/12 + 55*j**2/2 - 25*j + 474. Factor p(r).
-(11*r - 10)**2/4
Find l such that 1/4*l**3 + 14*l + 20 - 23/4*l**2 = 0.
-1, 4, 20
Let j(f) be the first derivative of -f**4/2 + 4*f**3/3 + 36*f**2 - 144*f + 1845. Factor j(y).
-2*(y - 6)*(y - 2)*(y + 6)
Suppose 3*q = 4*t + 19, -q + 3*q + 4*t = -14. Let z(s) = -3*s**2 - 28*s - 167. Let b(j) = j**2 + j - 1. Let l(o) = q*z(o) + 2*b(o). Factor l(x).
-(x + 13)**2
Let u = -47 - -56. Let r be u/(-45) + (-62)/(-10) + -2. Find b such that -2*b**3 + 4*b**3 + 554*b**4 - 555*b**r + 4*b**2 - 3 - 2*b = 0.
-1, 1, 3
Let q = 67295 - 740244/11. Let -1/11*u**4 - 1/11*u**5 - 20/11*u + q*u**2 + 12/11 + 9/11*u**3 = 0. Calculate u.
-3, -2, 1, 2
Let x(s) be the second derivative of s**5/10 + 13*s**4/9 + 16*s**3/9 - 4*s - 4. Find t, given that x(t) = 0.
-8, -2/3, 0
Let x = 313/909 + -343/3636. Factor 13/4*o**3 + 0 + 0*o + 0*o**2 + x*o**4.
o**3*(o + 13)/4
Let y = 442 + -429. Suppose 0 = 26*o + 13 - y. Let 0 - 5/2*d**4 - 10*d**2 + o*d - 10*d**3 = 0. Calculate d.
-2, 0
Let u be 21*(3 - (-153)/(-27)). Let o be (1458/1323)/((-2)/u). Factor 18/7*i**2 + 108/7*i + 1/7*i**3 + o.
(i + 6)**3/7
Factor 7442/3 + 82*i**2 - 2/3*i**3 - 2562*i.
-2*(i - 61)**2*(i - 1)/3
Let m be 1 + (8/5 - 6/(-15)). Factor 177*z**2 + 391*z**2 + 3*z**m + 2*z**3 + 69120 + 8640*z - 208*z**2.
5*(z + 24)**3
Let j(k) be the second derivative of 273529*k**5/110 + 1046*k**4/33 + 4*k**3/33 - 8274*k. Factor j(s).
2*s*(523*s + 2)**2/11
Let w(o) = -2*o**3 + 1676*o**2 - 7*o + 14. Let p(m) = -m**3 + 837*m**2 - 4*m + 8. Let l(d) = -7*p(d) + 4*w(d). Determine x so that l(x) = 0.
0, 845
Let k(j) = 5*j**5 + 19*j**4 - 4*j**3 - 288*j**2 - 513*j - 255. Let l(g) = g**5 + g**4 - g**3 - g**2 - 2. Let w(f) = k(f) - 6*l(f). Factor w(n).
-(n - 9)**2*(n + 1)**2*(n + 3)
Factor -399/5*i + 0 + 1/5*i**2.
i*(i - 399)/5
Let g(v) be the second derivative of 10/3*v**4 + 10*v**3 + 96*v + 0 + 0*v**2 + 1/4*v**5. Factor g(x).
5*x*(x + 2)*(x + 6)
Let g(m) be the first derivative of -3*m**4/28 - 46*m**3/7 + 21*m**2/2 + 282*m/7 + 119. Find j, given that g(j) = 0.
-47, -1, 2
Suppose 4*j - 10*j + 18 = 0. Let t(i) = 3*i**2 - 5*i - 6. Let n(u) = 3*u**2 - 6*u - 6. Let s(q) = j*t(q) - 2*n(q). Factor s(v).
3*(v - 2)*(v + 1)
Let p = -7114 + 14229/2. Let w(q) be the second derivative of 0 + 27*q + p*q**2 + 1/6*q**3 + 1/48*q**4. Let w(s) = 0. What is s?
-2
Factor 598/15*y**2 + 2/15*y**3 - 3000 + 2960*y.
2*(y - 1)*(y + 150)**2/15
Let u be (-225189)/45064 + 5*1. Let v = 681/2408 + u. Find d such that 1/7*d**2 - 3/7*d + v = 0.
1, 2
Factor 63468*x - 3*x**3 - 996*x**2 + 41953 + 7*x**3 - 166464 - 57037.
4*(x - 123)**2*(x - 3)
Let q(u) be the first derivative of u**4/20 + 29*u**3/5 + 17*u**2 + 831. Find z, given that q(z) = 0.
-85, -2, 0
Find x such that -45/7 + 121/7*x**3 - 671/7*x**2 + 339/7*x = 0.
3/11, 5
Let 4*l**2 + 93*l - 7*l**2 + 54*l + 0*l**2 - 298 + 4*l**2 = 0. What is l?
-149, 2
Let n = 59 + -17. Let h be 80/n - (-2)/21. Factor 1/3*u + 4/3*u**h - u**3 - 2/3.
-(u - 1)**2*(3*u + 2)/3
Let r(z) be the second derivative of -z**6/105 - 61*z**5/14 - 5151*z**4/7 - 343332*z**3/7 + 1061208*z**2/7 - 434*z - 1. Factor r(a).
-2*(a - 1)*(a + 102)**3/7
Let u(o) be the first derivative of -2/13*o**4 + 0*o**2 + 2/65*o**5 - 67 + 0*o + 8/39*o**3. Factor u(n).
2*n**2*(n - 2)**2/13
Suppose -1085*g - 694*g + 3558 = 0. Suppose 4/5*b - 8/5 + 1/5*b**4 - b**3 + 6/5*b**g = 0. What is b?
-1, 2
Find l, given that 672 - 2355*l + 21/2*l**2 = 0.
2/7, 224
Let c(u) be the first derivative of -u**6/30 + 2*u**5/5 + u**4/6 - 4*u**3 - 65*u**2 - 69. Let h(w) be the second derivative of c(w). Factor h(j).
-4*(j - 6)*(j - 1)*(j + 1)
Suppose -82*w + 115 = -131. Let f(g) be the second derivative of -1/102*g**4 + 10/51*g**w - 7*g + 0 - 25/17*g**2. Suppose f(z) = 0. What is z?
5
Let d(i) = 10*i**4 + 13*i - i**2 - 17*i**4 - 13*i**3 - 7*i + 18*i. Let y(v) = -8*v**4 - 12*v**3 + 24*v. Let x(c) = 4*d(c) - 3*y(c). Factor x(g).
-4*g*(g - 1)*(g + 2)*(g + 3)
Suppose -5*p - v = -1070, -3*p + 428 = -p + v. Let c = p + -212. Suppose 9/5*l**3 + 1/5*l**5 + 7/5*l**c + 2/5*l + 0 + l**4 = 0. Calculate l.
-2, -1, 0
Let m = -115/37 - -4357/259. Suppose -2 = 5*i - 27. Suppose 3/7*h**i + m*h**3 - 48/7 - 24*h**2 + 144/7*h - 27/7*h**4 = 0. Calculate h.
1, 2
Suppose -4*h = -y - 9, -24 = 5*h - 9*h - 4*y. Factor -h*o**3 + 6*o**3 - 7*o + 5*o**2 - 15*o**4 + 3*o + 10*o**4 + o**5.
o*(o - 4)*(o - 1)**2*(o + 1)
Let d(j) be the third derivative of -3*j**7/70 + 31*j**6/20 - 93*j**5/20 - 19*j**4/4 + 4929*j**2. Let d(b) = 0. Calculate b.
-1/3, 0, 2, 19
Suppose -7*o**2 + 18*o - 1059*o**3 - 1001*o**3 - o**4 + 2050*o**3 = 0. What is o?
-9, -2, 0, 1
Let h = 863419 + -75981813/88. Let x = 87/8 + h. Factor -x*v**2 + 0*v + 0.
-2*v**2/11
Let h = -68968 - -68973. Factor 0 + 250/3*k**2 - 1/6*k**h - 625/6*k - 25*k**3 + 10/3*k**4.
-k*(k - 5)**4/6
Let y(z) = z**3 + 16*z**2 + z + 21. Let h be y(-16). Let q be 15/h - 0/(-3). Solve 2*t**5 + 98*t**q - 86*t**3 + 2*t**5 - 12*t**4 - 4*t**2 = 0 for t.
0, 1
Suppose -3*s + 127 = 97. Suppose l = -3*z + s, 5*z - 2*l = -14 + 38. Find p such that 2 - z*p**4 - 31/2*p + 111/4*p**2 + 10*p**3 = 0.
-2, 1/4, 4
Let t(y) be the third derivative of 0*y + 1/105*y**7 + 3/20*y**6 + 197*y**2 + y**4 + 2/3*y**5 + 0 + 0*y**3. Determine j, given that t(j) = 0.
-6, -2, -1, 0
Solve 1/2*n**4 + 0 + 109/2*n**2 - 84*n + 29*n**3 = 0.
-56, -3, 0, 1
Let u(o) = 2*o**5 - o**4 - o**2 + o. Let h(b) = -5*b**5 + 27*b**4 + 3*b**3 - 75*b**2 + 48*b. Let p(f) = h(f) + 2*u(f). Find m such that p(m) = 0.
-2, 0, 1, 25
Let t(s) = s**2 + 9*s - 3. Let z(c) = 5*c**2 - 136*c + 7384. Let h(g) = 12*t(g) - 3*z(g). Factor h(y).
-3*(y - 86)**2
Suppose -1264*j + 2460 = 1309*j + 223 - 5482. Find i such that 3/4*i**j + 39/4*i**2 + 69/4*i + 33/4 = 0.
-11, -1
Let a(h) be the second derivative of h**5/30 + 187*h**4/9 - 751*h**3/9 + 376*h**2/3 + 2376*h. Factor a(n).
2*(n - 1)**2*(n + 376)/3
Let j(s) = -6*s**2 + 4*s + 5. Let a(u) = 5*u**2 - 3*u - 4. Suppose -4*v + 26 = 74. Let k be ((-15)/18)/(-2*(-1)/v). Let c(n) = k*a(n) + 4*j(n). Factor c(f).
f*(f + 1)
Suppose -r - 3*x + 16 = 0, 0*r - r = x - 8. Let b(f) be the first derivative of -f**r + 4*f - 1/5*f**5 - f**3 - 11 + 2*f**2. Solve b(j) = 0.
-2, -1, 1
Let b be (-36)/16*-4 - 4. Let r(q) be the third derivative of 0 - 1/32*q**4 + 6*q**2 - 3/16*q**3 + 0*q +