10/9*i**3 + 1/90*i**5 + 8*i**2 + 1 + 0*i. Factor m(k).
2*(k - 5)*(k - 2)/3
Let p(b) = 38*b**4 - 4273*b**3 + 5470*b**2 - 1252*b - 68. Let k(r) = -13*r**4 + 1424*r**3 - 1823*r**2 + 418*r + 24. Let o(v) = -17*k(v) - 6*p(v). Factor o(y).
-y*(y - 203)*(y - 1)*(7*y - 2)
Let h be 17*5/30 + (-26)/(-12) + -2. Factor -1/5*w**5 + 0 + 0*w**2 + 27/5*w - 18/5*w**h - 8/5*w**4.
-w*(w - 1)*(w + 3)**3/5
Let j = -8 - -25/3. Suppose -2 = -9*y + 34. Factor -11/6*f**2 + 0 + 13/6*f**3 + j*f - 2/3*f**y.
-f*(f - 2)*(f - 1)*(4*f - 1)/6
Let f(g) be the first derivative of 0*g - 3/4*g**4 - 218 - g**3 + 3*g**2. Factor f(i).
-3*i*(i - 1)*(i + 2)
Solve 2/7*s**3 + 0*s**2 + 60/7 - 38/7*s = 0.
-5, 2, 3
Let a be (-9)/(-72) + 37/4440*45. Factor -3*l**2 - 25/2 - a*l**4 + 20*l - 4*l**3.
-(l - 1)**2*(l + 5)**2/2
Let f(o) = o**3 - 7*o**2 - 32*o + 12. Let i(w) = 3*w**3 - 11*w**2 - 64*w + 28. Let z(d) = -7*f(d) + 3*i(d). Factor z(r).
2*r*(r + 4)**2
Find w such that 18/5*w**2 + 104/5 - 122/5*w = 0.
1, 52/9
Let p(l) = -48*l**3 - 494*l**2 - 545*l - 306. Let i(h) = -2*h**3 - 10*h**2 - h - 2. Let j(o) = -46*i(o) + 2*p(o). Suppose j(a) = 0. Calculate a.
-130, -1
Let l be (-11836)/36 - 20/90. Let t = 333 + l. Find v such that 0 - 4/3*v**t + 4/3*v**2 - 1/3*v + 1/3*v**3 = 0.
-1, 0, 1/4, 1
Factor -9/2*a**3 - 1/4*a**4 + 209/2*a - 9*a**2 - 363/4.
-(a - 3)*(a - 1)*(a + 11)**2/4
Let f(v) be the first derivative of -v**4/12 - 16*v**3/9 + 211*v**2/6 - 350*v/3 - 2287. Suppose f(h) = 0. Calculate h.
-25, 2, 7
Let o = 81202/175 - 464. Let a = o + 167/700. Suppose -a*w - 3/4 + 3/4*w**2 + 1/4*w**3 = 0. What is w?
-3, -1, 1
Let f(g) be the second derivative of 25/12*g**4 - 18*g - 20*g**2 - 5/2*g**3 + 0. Factor f(l).
5*(l + 1)*(5*l - 8)
Let u(i) = 12*i**2 - 87*i + 507. Let j(r) = r**2 - r. Suppose 11*h - 10*h = 0. Suppose h = -82*q + 80*q - 2. Let b(m) = q*u(m) + 9*j(m). Solve b(x) = 0 for x.
13
Let f(b) = -2*b**3 + b**2 - 1. Let y(k) = 2*k**3 - 56*k**2 + 2. Let d(q) = -2*q**2 + 23*q - 62. Let v be d(4). Let t(g) = v*f(g) - y(g). Solve t(x) = 0.
-27, 0
Factor 3050*r**3 + 5*r**4 + 7500 + 22505*r + 4465*r**3 + 4128*r**2 + 7869*r**2 + 14168*r**2 - 3650*r**2.
5*(r + 1)**3*(r + 1500)
Suppose 2/3*j**2 - 1528*j + 875544 = 0. Calculate j.
1146
Let o = 396 + 367. Let d = -763 + o. Factor 9/2*b**5 + 0 + 3/2*b**3 + d*b + 6*b**4 + 0*b**2.
3*b**3*(b + 1)*(3*b + 1)/2
Let a be -43 - -44 - 2/(1*-2). Let 40 + 37*s**3 + 1776*s**4 - 26*s**a - 1790*s**4 + 41*s**3 - 78*s = 0. Calculate s.
-1, 4/7, 1, 5
Let y(p) be the first derivative of -p**6/24 + 3*p**5/4 - 90*p**3 - 6*p**2 + 3*p - 60. Let w(r) be the second derivative of y(r). Factor w(d).
-5*(d - 6)**2*(d + 3)
Solve -o**2 - 10/7*o + 16/7 + 1/7*o**3 = 0 for o.
-2, 1, 8
Suppose -39/8*m**4 - 12*m**3 - 15/2*m**2 - 3/8*m**5 + 0 + 0*m = 0. Calculate m.
-10, -2, -1, 0
Let v = 611/210 - 359/210. Factor -3/5*j**2 + 0 + v*j.
-3*j*(j - 2)/5
Let s(a) be the first derivative of -a**4/28 + 5*a**3/14 + 3*a**2 + 108*a - 133. Let b(n) be the first derivative of s(n). Suppose b(p) = 0. Calculate p.
-2, 7
Factor -119*a**4 - 1170*a**2 + 19*a**4 + 691*a - 691*a - 5*a**5 + 330*a**3 + 405*a**3.
-5*a**2*(a - 3)**2*(a + 26)
Let h(t) = -177*t**3 - 1095*t**2 + 204*t + 48. Let q(n) = -533*n**3 - 3286*n**2 + 612*n + 142. Let s(m) = -17*h(m) + 6*q(m). Factor s(y).
-3*(y + 6)*(7*y - 2)*(9*y + 1)
Let m = -54335 + 54337. Suppose -3*v**m + 24/5*v - 12/5 + 3/5*v**3 = 0. What is v?
1, 2
Suppose 0 = 2*f + 5*f - 28. Suppose -f*o + 8*o - 40 = 0. Determine a, given that -20 - a**2 + 5*a**2 + 0*a**2 + o*a + 6*a = 0.
-5, 1
Let v(w) = -7*w**3 + 8*w**2 + 181*w + 49. Let g(p) = 6*p**3 - 4*p**2 - 182*p - 50. Let s(z) = -9*g(z) - 10*v(z). Find t, given that s(t) = 0.
-2, -1/4, 5
Factor 0 + 39/4*w - 5/2*w**2 - 1/4*w**3.
-w*(w - 3)*(w + 13)/4
Let u(c) = -c**4 + c**3 - c**2 - c - 2. Let r(l) = 3*l**4 - 2*l**3 + 2*l**2 + l + 7. Let h = 397 - 401. Let a(s) = h*r(s) - 11*u(s). What is d in a(d) = 0?
-3, -2, 1
Let u = 152690 - 8549963/56. Let v = u + -83/8. Factor v*t**2 + 0 + 3/7*t**3 + 12/7*t.
3*t*(t + 2)**2/7
Suppose 2*m**3 + 550*m - 114*m**2 - 74*m**2 + 714*m + 18*m**2 - 2464 = 0. What is m?
4, 77
Let h(v) be the second derivative of v**6/45 - 84*v**5/5 + 3443*v**4 + 42840*v**3 + 195075*v**2 - 7409*v. What is q in h(q) = 0?
-3, 255
Let n(h) = -h**4 + 2*h**3 - h**2 + h + 1. Let d(x) = 3*x**3 - x**2 + x + 1. Let s = -186 - -183. Let r(c) = s*d(c) + 3*n(c). Let r(i) = 0. What is i?
-1, 0
Let k(p) = p**3 + 6*p - 8. Let a be k(0). Let c be 9*6/(-9) + (-52)/a. Let v**4 - 1/2*v + 0 - v**2 + 0*v**3 + c*v**5 = 0. What is v?
-1, 0, 1
Let r(w) = -2*w**2 - 8*w + 68. Let b be r(-8). Let x be ((40/(-45))/b)/((-9)/81). Find d such that -x*d**3 - 5/2*d**2 - d + 0 - 1/2*d**4 = 0.
-2, -1, 0
Let d(b) be the first derivative of -1/5*b**5 + 1/3*b**3 + 28 + 0*b**2 - 1/16*b**4 + 0*b + 1/24*b**6. Factor d(p).
p**2*(p - 4)*(p - 1)*(p + 1)/4
Let 665 - 7*c + 11*c - 649 - 2*c**2 = 0. Calculate c.
-2, 4
Let c(f) be the third derivative of 0*f - 7*f**3 + 1/4*f**5 + 57*f**2 + 0 + 33/8*f**4. Solve c(d) = 0.
-7, 2/5
Let v(y) be the third derivative of -109*y**2 - 1/100*y**5 + y**3 + 0 + 9/40*y**4 + 0*y. Determine g, given that v(g) = 0.
-1, 10
Let x(a) = 6*a**3 - 3*a**2 + 3*a - 1. Let t be x(1). Suppose 0 = t*y - 5, -25 = -0*i - 5*i - 5*y. Factor 2*z**4 - 3*z**5 + 0*z**5 + i*z**5 - z**4.
z**4*(z + 1)
Let l be (1134/540)/(23/4). Let p = l - -10/23. Factor -16/5*k**3 - p - 4/5*k**4 - 24/5*k**2 - 16/5*k.
-4*(k + 1)**4/5
Let k(a) be the third derivative of 9*a**8/560 + a**7/28 + a**6/120 + 22*a**3 + 21*a**2. Let r(h) be the first derivative of k(h). Find p, given that r(p) = 0.
-1, -1/9, 0
Let t(v) be the first derivative of -v**6/6 - v**5/5 + 99*v**4/4 - 359*v**3/3 + 215*v**2 - 168*v + 5143. Find p, given that t(p) = 0.
-12, 1, 2, 7
Let p(j) be the first derivative of -61 + 0*j + 1/9*j**3 + 2/3*j**2. Find w, given that p(w) = 0.
-4, 0
Let 403202/5 + 2/5*q**2 - 1796/5*q = 0. What is q?
449
Let d(x) = 12*x**4 + 125*x**3 + 2303*x**2 + 6014*x + 3854. Let g(t) = 2*t**4 - t**3 + t**2 + 2. Let c(n) = d(n) - 5*g(n). Let c(h) = 0. What is h?
-31, -2, -1
Let z(a) = -8*a + 91. Let c be z(8). Let w be (-21)/(-3) - 108/c. Find d such that 4/9*d**w + 20/3*d + 28/9 + 4*d**2 = 0.
-7, -1
Let f(h) = h**3 - 22*h**2 + 11*h + 584. Let w be f(20). Determine u, given that -24*u**2 + 4/7*u**3 + 40/7*u**w - 16/7*u + 32/7 = 0.
-2, -1/2, 2/5, 2
Let r be (0 - -6) + -6 - (2 + -2). Solve j**3 + r*j**3 + 23*j + 14*j - 41*j = 0 for j.
-2, 0, 2
Let g(c) = 12*c**2 - 3834*c + 1050. Let l(b) = b**2 + 3*b + 4. Let f(o) = -g(o) - 9*l(o). Factor f(u).
-3*(u - 181)*(7*u - 2)
Let a(x) be the third derivative of -2*x**5/3 + 7*x**4/6 + 2*x**3 + 2822*x**2. Find n such that a(n) = 0.
-3/10, 1
Suppose -3*a + r + 53 - 51 = 0, -3*a + 38 = 8*r. Let g(t) be the third derivative of 3/17*t**3 + 0 + t**a + 0*t + 1/510*t**5 - 1/34*t**4. Factor g(x).
2*(x - 3)**2/17
Suppose 229 = -16*p + 853. Suppose -36*r = -p - 33. Determine m, given that m**5 + 0*m + 2/9*m**r - 16/9*m**4 + 0 + 5/9*m**3 = 0.
-2/9, 0, 1
Let i = 737838/11 - 67076. Let f = 58/7 - 610/77. Find p, given that -2/11 + f*p - i*p**2 = 0.
1
Let w(t) = 21 - 4*t + 3*t + 3*t - t. Let h be w(-19). Factor h*g**3 - 2*g**3 - 3*g**2 - 4*g - 2*g**3 - 3*g**2.
-2*g*(g + 1)*(g + 2)
Let j(m) = -m**3 - 8*m**2 - 3*m + 51. Let t be j(-6). Let u be ((-5)/(-25) - 2) + (-9)/t. Factor u*o**2 - 34/5*o + 4.
2*(o - 5)*(3*o - 2)/5
Let n = 4 + -1. Factor -8 + 2*m**2 + 4 - 2*m - 4*m + 2*m**n - 2*m**2.
2*(m - 2)*(m + 1)**2
Let i = 12303 + -61513/5. Let t(o) be the first derivative of 3/5*o**2 - 3/5*o**4 - i*o - 2/25*o**5 + 4/15*o**3 + 1/5*o**6 - 7. Suppose t(m) = 0. What is m?
-1, 1/3, 1
Let q(d) be the third derivative of d**6/120 + 1697*d**5/60 + 239701*d**4/8 - 240267*d**3/2 + 2106*d**2. Solve q(c) = 0.
-849, 1
Suppose -38*g + 13*g + 600 = 0. Suppose -4*b + 16 = -2*i, -4*b = -5*i + i - g. Suppose 8/5*r**5 - 2/5*r - 6/5*r**3 + 2*r**2 - b*r**4 + 0 = 0. What is r?
-1, 0, 1/4, 1
Suppose 2 - 6 = -2*o. Let p be (-28)/(-112)*4*7. Suppose 3*m + 5 - p*m - 6*m - 7*m**o + 12*m**2 = 0. Calculate m.
1
Suppose -4*a - 5120 = -5*t - 8*a, 2*t - 2048 = 3*a. Determine k so that 895*k**2 - 123*k**2 + t - 185*k + 120*k**3 - 498*k + 4*k**4 - 1237*k = 0.
-16, 1
Suppose 185 = 4*h - 5*b, -h - 3*b