 125/27*l**4 + 3*l + 155/27*l**5 + 0*l**3 + 22/135*l**7 + 0. Factor b(h).
4*h*(h + 5)**3*(5*h + 2)/9
Let r(z) be the third derivative of z**8/112 + z**7/70 - 3*z**6/8 - 9*z**5/20 + 27*z**4/4 + 1264*z**2. Determine l so that r(l) = 0.
-3, 0, 2, 3
Let v(p) be the third derivative of -11/36*p**4 + 4/9*p**3 + 1/630*p**7 + 7/60*p**5 - 30*p - 1/45*p**6 + 3*p**2 + 0. Factor v(k).
(k - 4)*(k - 2)*(k - 1)**2/3
Let n be 6 + 1 + ((-1)/(-3) - 0)/(139/(-1668)). Factor -4/5*m**n + 60*m + 152/5 + 144/5*m**2.
-4*(m - 38)*(m + 1)**2/5
Suppose -5*u = 32*u - 370. Solve -18*g**2 + u*g**2 + 0*g**3 + 2*g**2 + 10*g**2 + g**3 = 0 for g.
-4, 0
Let d(i) be the first derivative of 11/2*i**2 + 2*i**3 + 0*i - 17. Let z(r) = 9*r**2 + 16*r. Let x(n) = -7*d(n) + 5*z(n). Factor x(f).
3*f*(f + 1)
Suppose 1060 - 98*b + 1153*b + 12*b**2 - 17*b**2 = 0. Calculate b.
-1, 212
Suppose -5*s - 49 = 3*q, -167*q + 2*s + 30 = -163*q. Determine o, given that 32/3 + 31/3*o - 1/3*o**q = 0.
-1, 32
Let g(h) = h**2 + 888*h + 17363. Let k be g(-20). Find x, given that -1/5*x**k + 1/5*x - 1 + x**2 = 0.
-1, 1, 5
Suppose 0 = -2*a - a + 12, -2*q = 4*a - 24. Suppose -w = -2*s + q*w + 9, -5*s = -w - 11. Factor -4*t**3 - 61 + 40*t + 141 - 48 - 4*t**2 + 8*t**s.
-4*(t - 4)*(t + 1)*(t + 2)
Let u(w) be the third derivative of w**5/30 - 170*w**4/33 - 124*w**3/33 - w**2 + 2*w - 61. Find m such that u(m) = 0.
-2/11, 62
Suppose 230*w - 234*w = 40. Let i be -4 - (40/(-8) + (-6)/w). Find p, given that -i + 0*p + 2/5*p**2 = 0.
-1, 1
Let x(t) be the first derivative of t**5/39 + t**4/52 - 4*t**3/39 - 265*t**2/2 - 219. Let p(s) be the second derivative of x(s). Determine r so that p(r) = 0.
-4/5, 1/2
Let b(r) be the second derivative of r**6/180 + r**5/6 + 37*r**4/36 - 77*r**3/9 - 121*r**2/4 - 2*r + 1429. Find u such that b(u) = 0.
-11, -1, 3
Let f be (18/15)/(3376/(-680) + 5). Let r be 2/5 - f/85. Solve r - 2/5*u + 2/5*u**3 + 0*u**2 = 0 for u.
-1, 0, 1
Let n(b) be the third derivative of -b**6/280 - 3*b**5/35 - 11*b**4/14 - 24*b**3/7 + 184*b**2 + 8*b - 1. Factor n(y).
-3*(y + 2)*(y + 4)*(y + 6)/7
Suppose -2*g + 0 = -5*w - 6, -3 = -6*w - g. Let t(s) be the first derivative of w*s + 17 + 2/9*s**2 - 2/27*s**3. Find p such that t(p) = 0.
0, 2
Let t = 31 + -44. Let x(c) = c**3 + 13*c**2 + 9. Let m be x(t). Factor 5*w**2 + 2 - 13 - 15*w - m.
5*(w - 4)*(w + 1)
Let k be (4/160*6)/(27/855 - 0). Let 7/2*d**2 - 5/4*d**5 + 0*d + 0 - 19/2*d**4 - k*d**3 = 0. What is d?
-7, -1, 0, 2/5
Let i(k) be the first derivative of -2*k**3/27 + 132*k**2 - 78408*k + 3178. Solve i(l) = 0.
594
Let q = -1021873 + 11240611/11. Find d such that 3/11*d**4 - q*d**2 + 0*d + 0 - 23/11*d**3 = 0.
-1/3, 0, 8
Let x be (-9)/8640*20156 + 21. Let j(c) be the third derivative of -1/24*c**5 - 1/4*c**3 + 0 - 23*c**2 + x*c**6 + 7/48*c**4 + 0*c. Factor j(i).
(i - 3)*(i - 1)**2/2
Solve 27/7 - 9/7*o**2 - 78/7*o + 12/7*o**4 + 108/7*o**3 = 0 for o.
-9, -1, 1/2
Let n(y) be the first derivative of -y**4/9 + 100*y**3 - 75712*y**2/3 - 456976*y/9 - 1824. Suppose n(h) = 0. Calculate h.
-1, 338
Let o(w) = -w**3 - 3*w**2 + 3*w + 12. Let b be o(-2). Let -35*y + 35*y**2 - 37*y - 4 - 32*y**b + 436 = 0. Calculate y.
12
Suppose 32*n + 508 - 1564 = 0. Let 46 - 84*u + 32*u**2 - n - 197 - 28*u**2 = 0. What is u?
-2, 23
Let s(u) = u + 24. Let w be s(-15). Let h = w + -7. Suppose -2*t**5 + 4*t**5 - 9*t**3 + 6*t**3 + 3*t**4 - h*t**2 = 0. Calculate t.
-2, -1/2, 0, 1
Let s be 1/(-4) - (-18)/(-16)*-2. Solve 5*j**s - 7 + 7 - 4*j**4 + 4*j**3 - 16*j + 11*j**2 = 0 for j.
-2, 0, 1, 2
Suppose 0 = -3*f + 132 - 150. Let g be (-11)/(220/32)*3/f. Suppose -g - 1/5*l**2 + 4/5*l = 0. What is l?
2
Let a(z) = -35*z**2 - 191*z + 240. Let u(d) = -70*d**2 - 375*d + 480. Let v(x) = -5*a(x) + 3*u(x). Factor v(j).
-5*(j + 6)*(7*j - 8)
Let w(g) = -42*g**2 - 106*g - 23. Suppose -5 = -4*d + u + 9, -4*d = 3*u - 6. Let l(a) = -a**2 + 2*a + 1. Let r(k) = d*l(k) + w(k). Find v, given that r(v) = 0.
-2, -2/9
Solve 7574182/5*i + 2/3*i**3 + 10048/5*i**2 + 9084196/15 = 0 for i.
-1507, -2/5
Let v(c) be the first derivative of -7/2*c**2 + 1 + 0*c + 1/6*c**3. Suppose v(i) = 0. What is i?
0, 14
Suppose -4*m = -2*a + 50, -30*a - 2*m - 63 = -33*a. Suppose 0 = a*u + 2 - 78. Find p such that -2/7 + 1/7*p - 1/7*p**u - 1/7*p**3 + 3/7*p**2 = 0.
-2, -1, 1
Let g(o) = -o**2 - 15*o + 2. Let z(h) = 2*h**2 + 249*h - 10410. Let d(t) = -12*g(t) - 4*z(t). Suppose d(b) = 0. What is b?
102
Factor 60 - 2*z**3 + 72*z - 82*z + 3*z**2 + 58*z - z**3.
-3*(z - 5)*(z + 2)**2
Let a(y) be the first derivative of 2*y**3/3 - 552*y**2 + 152352*y - 1762. Determine x so that a(x) = 0.
276
Solve -31/7*i - 47/7*i**2 - 3*i**3 - 5/7 = 0 for i.
-1, -5/21
Suppose 14 = 3*c + 2, -2*c + 14 = 2*g. Suppose -g*b = 373 - 379. Factor -4/7*l**3 + 0*l + 0 + 20/7*l**b.
-4*l**2*(l - 5)/7
Let o(n) be the third derivative of n**6/72 - 3*n**5/4 + 135*n**4/8 - 181*n**3/6 + 95*n**2. Let s(w) be the first derivative of o(w). Factor s(y).
5*(y - 9)**2
Let m be 0 + -2 + 2 + (6 - 3). Solve -59*t**m + 18*t**2 - 3*t**4 + 27*t**3 + 35*t**3 = 0.
-2, 0, 3
Let f = -2 + 4. What is u in -28*u**4 + 17*u**2 - 6*u + 8*u**3 - f*u + 11*u**2 = 0?
-1, 0, 2/7, 1
Let a(z) be the second derivative of -1 + 0*z**3 + 1/2*z**5 + 0*z**2 + 91*z - 1/21*z**7 - 1/15*z**6 - 1/2*z**4. Let a(r) = 0. Calculate r.
-3, 0, 1
Let q(u) = -38*u**3 - 4406*u**2 + 232*u + 2. Let y be q(-116). What is s in 2*s + 4*s**y + 1/2*s**4 + 0 + 5/2*s**3 = 0?
-2, -1, 0
Let f = -1883732 + 1883736. Factor -1440*p - 216 - 1587/2*p**f - 1572*p**2 + 2760*p**3.
-3*(p - 2)**2*(23*p + 6)**2/2
Factor -251*n**4 + 216*n**2 + 45*n**3 + 379*n - 247*n**4 - 55*n + 501*n**4.
3*n*(n + 3)*(n + 6)**2
Let x(s) = s**3 - 7*s**2 + 14*s - 11. Let c be x(4). Let k be ((-10)/25*c)/(4/10). Factor -12/5 + u**k + 16/5*u + 33/5*u**2.
(u + 1)*(u + 6)*(5*u - 2)/5
Let z(i) be the second derivative of -2*i - 13/12*i**3 - 1/2*i**4 + 0*i**2 + 1/40*i**5 + 6. Suppose z(p) = 0. What is p?
-1, 0, 13
Let z(j) be the second derivative of 0*j**3 + 1/40*j**5 - 1/84*j**7 + 0*j**2 + 5 - 1/8*j**4 - 8*j + 1/20*j**6. What is k in z(k) = 0?
-1, 0, 1, 3
Let a be 1*10/15*3. Factor -108*c**a + 8797*c + 7*c**5 + 180*c**3 + c**5 - 68*c**4 - 8905*c.
4*c*(c - 3)**3*(2*c + 1)
Let p be (-3087)/(-1372)*(-4)/(-27). Factor p*m + 7/3*m**2 - 1 - 5/3*m**3.
-(m - 1)**2*(5*m + 3)/3
Let t(s) be the third derivative of s**7/840 + 19*s**6/480 - 11*s**5/16 - 383*s**4/96 - 25*s**3/3 + 904*s**2. What is o in t(o) = 0?
-25, -1, 8
Let t(j) be the first derivative of -45*j**4 - 292/3*j**3 + 105 + 48*j + 80*j**2. What is p in t(p) = 0?
-2, -2/9, 3/5
Let c(p) be the first derivative of -1/9*p**3 + 52/3*p**2 + 147 - 2704/3*p. Solve c(j) = 0 for j.
52
Suppose 168 + 72 = 10*w. Factor 9 + 12*t**3 - 20*t**3 - 5*t**2 + 27*t**2 + t**4 - w*t.
(t - 3)**2*(t - 1)**2
Solve -16*n**4 + 110/9*n**3 - 664/9*n + 60*n**2 + 14/9*n**5 + 16 = 0.
-2, 2/7, 1, 2, 9
Let u(q) be the third derivative of -q**5/15 - 239*q**4/3 - 114242*q**3/3 - 1080*q**2. Factor u(y).
-4*(y + 239)**2
Let z(k) be the first derivative of 1 - k**2 + 19/36*k**5 - 50/9*k**4 - 250/9*k**3 - 2*k - 1/72*k**6. Let o(q) be the second derivative of z(q). Solve o(d) = 0.
-1, 10
Suppose -8*r + c = -3, -1617*r + 1622*r + 15 = -5*c. Factor 1/3*m**2 + r + 49/3*m.
m*(m + 49)/3
Let s be (-27927)/(-5457) - (6/21 - (-100)/(-595)). Let 4/7*i - 4/7*i**s - 40/7*i**2 + 24/7 + 0*i**3 + 16/7*i**4 = 0. What is i?
-1, 1, 2, 3
Let d(v) be the first derivative of 46 + 1/20*v**4 + 1/25*v**5 - 2/5*v**3 + 0*v + 0*v**2. Determine l so that d(l) = 0.
-3, 0, 2
Let y = -309 - -320. Let g(l) = 18*l**3 - 14*l**2 - 14*l + 7. Let h(s) = -10*s**3 + 7*s**2 + 7*s - 4. Let p(w) = y*h(w) + 6*g(w). Suppose p(c) = 0. What is c?
-2, -1, -1/2
Let r be (110/44)/((-2)/(-12)). Let 4*s**2 + 2*s**5 + r*s**3 + 2*s - s**4 - 2 - s**4 + 0 - 19*s**3 = 0. What is s?
-1, 1
Let f be ((-18)/(-12))/(168/104). Let w(q) be the first derivative of f*q**4 + 18 + 8/7*q**3 + 12/35*q**5 + 1/21*q**6 + 0*q + 4/7*q**2. Factor w(v).
2*v*(v + 1)**2*(v + 2)**2/7
Factor 5*d**3 + 63/2*d + 1/4*d**4 + 0 + 93/4*d**2.
d*(d + 3)**2*(d + 14)/4
Let m = -2/5127 + 10268/35889. Let w(b) be the first derivative of -1/14*b**4 + m*b**3 + 0*b - 2/7*b**2 - 16. Factor w(p).
-2*p*(p - 2)*(p - 1)/7
Let n be 6/2 + 36 - (10 + -12). Factor -27*q**4