 0*o**4 - 3/10*o**5 - 1/15*o**7. Factor b(s).
-2*s**2*(s - 1)**2*(s + 9)
Suppose -t + 44 = 4*j, 3*t - 71 = -83. Let a be 0 - (-19 - (1 + 0)). Let 0*b**3 + 15*b**2 - a + 7*b**3 - j*b**3 = 0. Calculate b.
-1, 2
Let d = 22576 + -22576. Let j(r) be the third derivative of 1/120*r**6 + 0*r**3 - 15*r**2 + 1/90*r**5 + 0*r**4 + d*r + 0 - 1/126*r**7. Factor j(g).
-g**2*(g - 1)*(5*g + 2)/3
Let z be 317/(-8) + (-675)/(-75). Let d = 31 + z. Factor d*f**4 + 27/2*f + 18*f**2 + 39/8*f**3 + 0.
3*f*(f + 1)*(f + 6)**2/8
Let l(d) = -5135*d + 2. Let i be l(0). Find u, given that 2/11*u**i + 0 + 6/11*u**4 - 6/11*u**3 + 0*u - 2/11*u**5 = 0.
0, 1
Let p be ((-27)/4)/3 + 50 + 49 + -96. Determine n so that -1/4*n**4 - 1/4*n**3 - 1/2 + 1/4*n + p*n**2 = 0.
-2, -1, 1
Let m(p) be the first derivative of -p**3/12 + 5*p**2/2 - 24*p - 1547. Determine h so that m(h) = 0.
8, 12
Let x(t) = -5*t - 51. Let p be x(-11). Suppose 0 = -p*s - 20, 2*a = 7*s - 3*s + 28. Find m, given that 8/7*m**3 + 0*m**a - 4/7*m - 4/7*m**5 + 0 + 0*m**2 = 0.
-1, 0, 1
Let z be 28*4/16 + 3*-1*8/6. Suppose -2/9*n**z + 0*n - 4/9*n**2 + 0 = 0. What is n?
-2, 0
Let n(s) be the third derivative of -s**5/15 - 31*s**4/6 + 208*s**3 + 410*s**2 + s. Factor n(f).
-4*(f - 8)*(f + 39)
Let a be 5/4 + 5565/(-5300). Let k(r) be the second derivative of 4/3*r**3 + 0*r**2 - 1/3*r**4 - a*r**5 + 0 + 24*r. Factor k(h).
-4*h*(h - 1)*(h + 2)
Let t be ((-6)/8)/((27 - (40 - 14))/(80/(-15))). Factor 2*x - 20/3 + 2/3*x**3 + t*x**2.
2*(x - 1)*(x + 2)*(x + 5)/3
Suppose 0 = -3*o + 2*w - 1 - 1, -4*o - 2*w + 16 = 0. Suppose 2*k = -4*x + o + 2, -13 = x + 4*k. Factor 0*i**2 - 8*i**2 + x*i**2.
-5*i**2
Let u = 78 - 74. Factor -128*z**3 - u*z**4 - 28*z - 15*z**4 - 36*z - 208*z**2 - z**4.
-4*z*(z + 2)*(z + 4)*(5*z + 2)
Let l(d) = -5*d**2 - d + 7. Let n(m) = -4*m**2 + 6. Suppose -4*h = 0, -2*c - 4 = -3*h - 12. Suppose -14*s = -12*s - c. Let p(w) = s*l(w) - 3*n(w). Factor p(b).
2*(b - 2)*(b + 1)
Let o be 0/1 + 7 + -31 + 26. Suppose 2*x + 4*a - a - 13 = 0, -o*x + a + 1 = 0. Factor -1/3*c - 1/3*c**x + 2/3.
-(c - 1)*(c + 2)/3
Factor 1498*a**2 - 4*a**3 + 6*a**3 + 0*a**3 + 2*a**3 - 430*a**2.
4*a**2*(a + 267)
Find l such that -4624 - 247*l**2 - 269*l**2 + 680*l + 491*l**2 = 0.
68/5
Let p(q) be the third derivative of -25*q**7/56 + 105*q**6/8 - 1311*q**5/8 + 8993*q**4/8 - 36501*q**3/8 + 12*q**2 + 67. Solve p(j) = 0.
3, 23/5
Let p(t) be the third derivative of 7/3*t**3 - 1/8*t**5 + 2*t**2 + 0*t**4 + 0*t + 1/72*t**6 + 0. Let w(m) be the first derivative of p(m). Factor w(y).
5*y*(y - 3)
Let k be 1962/108 - (-10)/12. Let r = k + -17. Factor 3/2 + 9/2*u + 27/8*u**r.
3*(3*u + 2)**2/8
Let p(k) be the first derivative of -119 + 4/63*k**6 - 5/42*k**4 - 2/21*k**3 + 2/35*k**5 + 1/21*k**2 + 0*k. Solve p(y) = 0 for y.
-1, 0, 1/4, 1
Let n(v) be the second derivative of v**6/15 - 37*v**5/10 - 19*v**4/3 - 1918*v - 3. Solve n(a) = 0.
-1, 0, 38
Let b(f) be the third derivative of -8/5*f**3 + 1/150*f**5 + f - 19*f**2 - 1/30*f**4 + 0. Factor b(d).
2*(d - 6)*(d + 4)/5
Let p(w) be the first derivative of w**6/3 - 68*w**5/5 + 107*w**4 - 232*w**3/3 - 1015*w**2 - 1300*w - 854. Solve p(a) = 0 for a.
-1, 5, 26
Let z = 25848/11 + -103381/44. Factor -1/4*w**2 - z*w**4 + 0*w + 1/2*w**3 + 0.
-w**2*(w - 1)**2/4
Let t(l) = -47*l**3 + l**2 - 18*l. Let a(y) = -133*y**3 + 2*y**2 - 55*y. Let d(f) = -6*a(f) + 17*t(f). Suppose d(k) = 0. What is k?
-3, 0, 8
Let w be ((-2)/7)/((-288)/2184) + -2. Let a(z) be the first derivative of 0*z - 1/18*z**6 - 11 + w*z**4 - 1/6*z**2 + 0*z**5 + 0*z**3. Let a(o) = 0. Calculate o.
-1, 0, 1
Let a(k) = -14*k**5 - 4*k**4 + 42*k**3 - 16*k**2 - 14*k. Let z(i) = -i. Let x = 480 + -481. Let j(u) = x*a(u) + 6*z(u). Find m such that j(m) = 0.
-2, -2/7, 0, 1
Factor -9/2*k**3 + 1/2*k**2 + 0 + 9/2*k - 1/2*k**4.
-k*(k - 1)*(k + 1)*(k + 9)/2
Let x be 8 - (4 - -8 - (-78)/(-9)). Suppose x*n + 20/3 + 2/3*n**2 = 0. Calculate n.
-5, -2
Let d(h) = 4*h**3 - 7*h**2 - 14*h + 8. Let y be d(-4). Let s be (y/(-798))/(30/21). Factor -s*c + 4/15*c**3 + 2/15 - 2/15*c**2.
2*(c - 1)*(c + 1)*(2*c - 1)/15
Let y(m) be the third derivative of m**6/90 + m**5/15 - m**4/2 - 38*m**3/3 - 67*m**2. Let a(b) be the first derivative of y(b). Determine c so that a(c) = 0.
-3, 1
Let r(m) be the first derivative of m**6/600 + m**5/200 - 3*m**4/40 + 2*m**3/15 + m**2 + 4*m + 6. Let t(w) be the second derivative of r(w). Factor t(a).
(a - 2)*(a + 4)*(2*a - 1)/10
Solve -h**3 - 15/2 + 14*h - 11/2*h**2 = 0 for h.
-15/2, 1
Suppose 5*m + m - 78 = 0. Let h = 15 - m. Factor -9*x**4 + 9*x**3 - 4*x**3 - 8*x**4 + 10*x**h - 5*x + 7*x**4.
-5*x*(x - 1)*(x + 1)*(2*x - 1)
Factor 24 - 30*t**2 + 128*t + 5*t**4 + 3*t**5 - 255*t + 3*t**3 + 115*t + 7*t**4.
3*(t - 1)**2*(t + 2)**3
Let o = 105250/28639 - -38/2203. Factor -2/13*u**3 - 6/13*u**2 - 56/13 + o*u.
-2*(u - 2)**2*(u + 7)/13
What is q in -250*q**2 - 2727*q - 116*q**2 + 2*q**3 + 1239*q - 1496 = 0?
-2, 187
Let z(o) = o**2 + 95*o + 231. Let b(u) = u**2 + 143*u + 336. Let g(t) = 5*b(t) - 8*z(t). Factor g(s).
-3*(s + 7)*(s + 8)
Suppose 3*d - 2*x = 74, -2*d + 3*x + 53 = -2*x. Find f such that f**5 + 27*f**4 - 144 + 95*f**2 + 59*f**3 - 20*f**4 + 6*f**4 - d*f = 0.
-4, -3, 1
Suppose -j + 2*j + 12 = 5*u, 2*j + 10 = 3*u. Factor i**u - i**2 + 45*i - 4*i**2 + i**2.
-3*i*(i - 15)
Let t(k) be the second derivative of -k**4/48 - 755*k**3/6 - 570025*k**2/2 + 680*k - 5. Factor t(f).
-(f + 1510)**2/4
Suppose -3*s = 3*u - 84, -u - 7 - 52 = -2*s. Suppose 0 = -62*c - 25*c + s*c. Suppose 2*x**3 + 8/7*x + c + 20/7*x**2 + 3/7*x**4 = 0. Calculate x.
-2, -2/3, 0
Let z be -1 - (1003*-38*1 + -5). Factor -7257*f - 5*f**3 + 0*f**3 - z*f - 831875 - 825*f**2.
-5*(f + 55)**3
Let m(p) be the first derivative of p**3/9 + 125*p**2/6 - 254*p/3 + 1082. Determine x so that m(x) = 0.
-127, 2
Let x(m) be the second derivative of -m**5/4 - 5*m**4/2 + 5*m**3/6 + 15*m**2 + 2*m + 40. Factor x(i).
-5*(i - 1)*(i + 1)*(i + 6)
Let m(z) be the second derivative of z**7/840 + z**6/48 - 4*z**4/3 - z**2 + 203*z. Let u(x) be the third derivative of m(x). Factor u(y).
3*y*(y + 5)
Suppose -2 - 1/4*w**2 + 1/4*w**3 - 5/2*w = 0. What is w?
-2, -1, 4
Let i(q) = q**2 + 12*q + 16. Let p be i(-11). Suppose 4 = p*s - 3*s. Factor -72*x**2 + 2 + 70*x**s - 2*x - 2.
-2*x*(x + 1)
Suppose -o - 10*o + 58 = 18*o. Let c(m) be the second derivative of -1/3*m**o - m - 1/18*m**4 + 0 + 2/9*m**3. Suppose c(i) = 0. Calculate i.
1
Let t = -17 - -21. Determine c, given that -48*c + 4 - 24 - 35*c**3 - 75*c**2 + 24*c**4 - 29*c**t - 17*c = 0.
-4, -1
Let h = -590 - -593. Factor -9*m**h + 9*m**2 - 2*m**5 - 5*m**4 - 16*m**2 - 2*m + m**5.
-m*(m + 1)**3*(m + 2)
Let v be (2/3)/(2/132). Let k = -42 + v. Solve 21*u - 23*u - k*u**5 + 0*u**5 + 4*u**3 = 0 for u.
-1, 0, 1
Let p(q) be the first derivative of 2/5*q**2 + 4/5*q - 55 + 1/15*q**3. Let p(g) = 0. What is g?
-2
Let g be 9/120*(-3008)/(-564). Let -24/5*z**3 + 4/5*z**2 - g*z**4 - 2/5 + 12/5*z**5 + 12/5*z = 0. What is z?
-1, 1/6, 1
Let h(k) be the third derivative of k**8/120 + 16*k**7/525 - 59*k**6/300 - 16*k**5/75 + 13*k**4/15 + 16*k**3/15 + k**2 - 422. Let h(n) = 0. Calculate n.
-4, -1, -2/7, 1, 2
Let w(x) be the second derivative of -x**7/14 + 11*x**6/10 + 237*x**5/10 - 473*x**4/2 - 9373*x**3/2 - 24843*x**2/2 - 556*x - 6. What is v in w(v) = 0?
-7, -1, 13
Suppose -r - 2*o - 6 = 4, -4*o = -4*r + 20. Let s = 2627 + -2627. Factor s + r*d + 4/5*d**3 - 2/5*d**2 - 2/5*d**4.
-2*d**2*(d - 1)**2/5
Factor 4/3 + 1/3*v**4 + 7/3*v**3 + 5*v**2 + 13/3*v.
(v + 1)**3*(v + 4)/3
Factor -270 + 113/2*i - 1/2*i**2.
-(i - 108)*(i - 5)/2
Let r = -7/20 - -541/60. Let z be 4 + 4/18*3. Factor -z*l**4 - 8*l**2 - r*l**3 - l**5 - 2/3 - 11/3*l.
-(l + 1)**4*(3*l + 2)/3
Factor 3555*r**2 + 210*r + 3554*r**2 - 10666*r**2 - 432 + 3560*r**2.
3*(r - 2)*(r + 72)
Suppose 11453 + 10681 = 17*o. Factor -6 + 31*n**2 - 10*n**2 + o*n - 1321*n + 4*n**3.
(n - 1)*(n + 6)*(4*n + 1)
Suppose -38*d + 953 = -6*d + 857. Let v(l) be the third derivative of 1/3*l**4 + 0*l - 25*l**2 - 1/15*l**5 - 1/60*l**6 + 8/3*l**d + 0. Factor v(o).
-2*(o - 2)*(o + 2)**2
Let s(j) = 8*j**3 - 945*j**2 + 28785*j - 27855. Let z(c) = 4*c**3 - 472*c**2 + 14392*c - 13928. Let t(u) = -4*s(u) + 7*z(u). Solve t(v) = 0.
1, 59
Let r(s) = -s**3 - 114*s**2 + 420*s + 212. Let o be r(4)