e first derivative of o**4/2 + 4*o**3 - o**2 + 17. Let k(s) = 2*s. Let n(i) = 2*g(i) + 12*k(i). Factor n(r).
4*r*(r + 1)*(r + 5)
Let x(p) = 19*p**2 + 16*p + 12. Let m(h) = -27*h**2 - 24*h - 18. Let l(w) = -w**2 - 50*w - 259. Let b be l(-6). Let t(s) = b*m(s) + 7*x(s). Factor t(v).
-2*(v + 1)*(v + 3)
Let h(l) be the second derivative of -l**4/4 + 964*l**3 - 1393944*l**2 + 27*l. Suppose h(o) = 0. What is o?
964
Let y(b) = -3*b**2 - 30*b - 45. Suppose -13 + 77 = -8*q. Let n be y(q). Suppose -n + 9/2*c**3 + 3/2*c**4 + 3/2*c**2 - 9/2*c = 0. Calculate c.
-2, -1, 1
Suppose 8*w - 4*w = 8. Let r be (w - -1) + (6 - 5). Factor -14 + 0*p**3 + 30*p**2 - 3*p + r*p**3 - 16 - p**3.
3*(p - 1)*(p + 1)*(p + 10)
Let i be ((-15)/(-48))/(6580/5264). Solve 289/4*g + 17/2*g**2 + i*g**3 + 0 = 0 for g.
-17, 0
Factor -170*n**2 + 254*n**2 + 277*n**2 - 5400*n - 32*n**3 + 13500 + 359*n**2.
-4*(2*n - 15)**3
Let h(b) be the first derivative of 3*b**5/35 + 213*b**4 + 211722*b**3 + 105225834*b**2 + 26148619749*b - 106. Let h(d) = 0. What is d?
-497
Solve -4 + 899*x**4 - 841/2*x**5 + 605/2*x**3 - 895*x**2 + 118*x = 0 for x.
-1, 2/29, 1, 2
Let c(s) be the second derivative of -s**4/3 + 34*s**3/3 + 120*s**2 + 21*s - 41. Suppose c(p) = 0. What is p?
-3, 20
Let i(x) = 2413*x + 33782. Let y be i(-14). Factor y + 0*q + 20*q**2 + 2/3*q**3.
2*q**2*(q + 30)/3
Let t(i) be the third derivative of i**7/210 + i**6/20 - 195*i**2 - 9*i + 1. Factor t(h).
h**3*(h + 6)
Let z(c) be the second derivative of c**5/14 - 43*c**4/7 - 92*c**3/3 - 216*c**2/7 + 735*c. Find t, given that z(t) = 0.
-2, -2/5, 54
Suppose -v - y + 45 = 16, -3*v = 5*y - 95. Let o = -23 + v. Factor -o*g**2 - 3*g - g**2 - 8 + 8 + 6.
-3*(g - 1)*(g + 2)
Let d(g) = 40*g**2 - 140*g - 566. Let h(p) = 19*p**2 - 70*p - 285. Let n(t) = 10*d(t) - 21*h(t). Factor n(z).
(z + 5)*(z + 65)
Factor 10 + 22/5*g**2 + 1/5*g**3 - 73/5*g.
(g - 2)*(g - 1)*(g + 25)/5
Let y(x) be the third derivative of x**6/200 + 9*x**5/25 + 239*x**4/40 + 42*x**3 - x**2 + 986. Let y(q) = 0. Calculate q.
-28, -5, -3
Let n be 1 + (-88)/84 - 2 - (3434/102 + -36). Factor 2/7*u**4 + 24/7*u - 16/7*u**2 - n*u**3 + 0.
2*u*(u - 2)**2*(u + 3)/7
What is h in 2/3*h**2 + 177608/3 - 1192/3*h = 0?
298
Suppose -45*k + 50*k = 1935. Factor -386*t + 8 + 0*t**4 - 2*t**4 + 6*t**2 - k*t + 4*t**3 + 757*t.
-2*(t - 2)*(t - 1)**2*(t + 2)
Let y = 730/223 - 1744/669. Factor 1/6 + 2/3*u + y*u**3 + 1/6*u**4 + u**2.
(u + 1)**4/6
Let m(j) be the second derivative of j**5/10 + 7*j**4/3 + 28*j**3/3 - 120*j**2 - 55*j. Suppose m(k) = 0. Calculate k.
-10, -6, 2
Let d(p) be the first derivative of -5*p**3/3 - 435*p**2 - 1720*p + 1147. Factor d(g).
-5*(g + 2)*(g + 172)
Let y(r) be the second derivative of -r**6/65 - 28*r**5/65 + 77*r**4/39 + 48*r**3/13 - 63*r**2/13 + 82*r - 6. Find f, given that y(f) = 0.
-21, -1, 1/3, 3
Let b(i) be the first derivative of i**3 - 20*i + 28 - 1/12*i**4 - 5/2*i**2. Let k(n) be the first derivative of b(n). Suppose k(m) = 0. Calculate m.
1, 5
Let a = -266 + 264. Let k(f) = 16*f**3 - 16*f**2 - 32*f. Let q(x) = 4*x**3 - 4*x**2 - 8*x. Let i(r) = a*k(r) + 9*q(r). Find n, given that i(n) = 0.
-1, 0, 2
Suppose -8*l = y - 33, -y = 2*y + 21. Let f(d) be the third derivative of 0*d**5 + 1/9*d**3 + 0 - 1/24*d**4 - l*d**2 + 1/360*d**6 + 0*d. Factor f(h).
(h - 1)**2*(h + 2)/3
Let g(q) = 54*q**2 - 654*q + 18. Let i(w) = 28*w**2 - 326*w + 6. Let y(j) = -6*g(j) + 11*i(j). Factor y(x).
-2*(x - 21)*(8*x - 1)
Let k(z) be the first derivative of 5*z**5 + 55*z**4/2 + 55*z**3 + 50*z**2 + 20*z + 1603. Factor k(w).
5*(w + 1)**2*(w + 2)*(5*w + 2)
Let t(a) = -9*a**3 + 5*a - 4. Let d be t(-5). Let q = -392 - -395. Factor q*p**3 + 3*p**2 - d + 1096.
3*p**2*(p + 1)
Suppose 64*h = 62*h + 66. Determine y, given that 18*y**2 + 0*y - h*y**2 + 22*y**2 + 27*y - 4 = 0.
-4, 1/7
Suppose -740/3*a + a**4 + 155*a**2 + 80/3*a**3 + 64 = 0. What is a?
-16, -12, 1/3, 1
Let h(i) be the first derivative of -2*i**4 + 196*i**3/3 - 300*i**2 + 252*i - 917. Solve h(j) = 0 for j.
1/2, 3, 21
Factor -450*b - 897/2 - 3/2*b**2.
-3*(b + 1)*(b + 299)/2
Suppose -4*o = o. Suppose o = j - 3. Factor 2*t - 27*t**j - 20*t**2 - 24 + t**2 + 58*t + t**2.
-3*(t + 2)*(3*t - 2)**2
Let k = 337 + -334. Determine i so that 75*i**5 - 20*i - 82*i**3 - 98*i**k + 100*i**2 + 95*i**3 - 130*i**4 = 0.
-1, 0, 1/3, 2/5, 2
Let t(d) = -191*d**4 - 440*d**3 + 439*d**2 - 123*d - 9. Let k(o) = 48*o**4 + 110*o**3 - 110*o**2 + 30*o + 2. Let l(v) = 9*k(v) + 2*t(v). Factor l(w).
2*w*(w + 3)*(5*w - 2)**2
Let k = 9427 - 28279/3. Let z(f) be the second derivative of -1/30*f**5 + k*f**2 - f + 1/12*f**4 - 1/90*f**6 + 4/9*f**3 + 0. Let z(y) = 0. What is y?
-2, -1, 2
Let f = -6675 + 6680. Factor -25/7*h**f - 11*h**4 - 2/7*h - 81/7*h**3 - 31/7*h**2 + 0.
-h*(h + 1)**3*(25*h + 2)/7
Let u(t) be the first derivative of 0*t**2 + 0*t + 5/3*t**3 + 5 + 0*t**4 - 1/1440*t**6 + 1/480*t**5. Let l(x) be the third derivative of u(x). Factor l(v).
-v*(v - 1)/4
Suppose -2*d = x + 4, -8 = 990*d - 987*d + 2*x. Determine c, given that d - 7/2*c**3 - 5/2*c**4 + 3*c + 5/2*c**2 + 1/2*c**5 = 0.
-1, 0, 1, 6
Let m(o) = 33*o - 31. Let v = 755 - 754. Let a be m(v). Suppose 1/2*z**3 + z**a + 0 + 0*z = 0. What is z?
-2, 0
Determine c so that 94/7*c**3 + 26/7*c**4 + 0*c + 10*c**2 + 0 + 2/7*c**5 = 0.
-7, -5, -1, 0
Let i = 1319/286790 + 2/12291. Let o(g) be the third derivative of i*g**5 - 1/21*g**3 + 1/420*g**6 + 0 - 1/84*g**4 + 0*g - 6*g**2. Suppose o(p) = 0. What is p?
-1, 1
Suppose -o = -3*o + 4*s, -3*s = 0. Let m = -380 + 380. Factor m + o*b + b**2 - 1/3*b**3.
-b**2*(b - 3)/3
Factor 3721/2*p**2 + 1/2 + 61*p.
(61*p + 1)**2/2
Let t(s) = 3*s**3 - 27*s**2 + 45*s + 81. Let i(m) = -59. Let a(w) = -13. Let q(c) = -9*a(c) + 2*i(c). Let d(v) = 6*q(v) + t(v). Solve d(u) = 0.
-1, 5
Let q be (-7 - (-68)/(-8))/(2/(-4)). Factor 81*o - 28*o + 68*o + q*o - 4*o**2 + 156.
-4*(o - 39)*(o + 1)
Let v(z) = -93*z**2 + 5235*z + 10362. Let y(i) = 27*i**2 - 1496*i - 2960. Let s(x) = 7*v(x) + 24*y(x). What is c in s(c) = 0?
-2, 249
Let o(g) be the third derivative of 5/32*g**4 + 35 - 1/120*g**5 + 1/3*g**3 + 2*g**2 + 0*g. Determine q so that o(q) = 0.
-1/2, 8
Suppose -1/4*a**4 - 1/4*a**5 + 0 - 4*a + 3*a**3 - a**2 = 0. Calculate a.
-4, -1, 0, 2
Factor 0*c + 0 - 2/5*c**3 - 62*c**2.
-2*c**2*(c + 155)/5
Let f(q) be the second derivative of 1/48*q**3 + 1/336*q**7 - 13 + 1/8*q**2 + 1/120*q**6 - 2*q - 1/80*q**5 - 1/24*q**4. Determine m so that f(m) = 0.
-2, -1, 1
Let i(x) be the third derivative of -x**5/20 + x**4/4 - 7*x**3/6 + 30*x**2. Let s(a) = 3*a**2 - 6*a + 6. Let o(q) = 6*i(q) + 7*s(q). Factor o(r).
3*r*(r - 2)
Let o = 20847 + -20843. Let s(c) be the second derivative of -1/18*c**o - c**2 + 5/9*c**3 + 15*c - 1/30*c**5 - 2. Factor s(d).
-2*(d - 1)**2*(d + 3)/3
Suppose 465*t + 63 = 486*t. Let k(c) be the second derivative of -c**t + 0*c**4 - 2*c**2 + 22*c + 1/10*c**5 + 0. Solve k(w) = 0 for w.
-1, 2
Let n(c) = -2449*c + 24494. Let f be n(10). Determine m, given that 0*m - 14/5*m**5 + 0*m**2 - 8/5*m**3 + 32/5*m**f + 0 = 0.
0, 2/7, 2
Let y(o) be the third derivative of o**5/210 + 83*o**4/42 + 163*o**3/7 - 4*o**2 + 214*o. Factor y(s).
2*(s + 3)*(s + 163)/7
Let d be 7/2 - 3/(-6). Let v be (-2 - 1) + (32/(-10))/(6/(-6)). Find r, given that 1/5*r**d + 3/5*r**2 - 3/5*r**3 + 0 - v*r = 0.
0, 1
Let v = -4757/2 - -2379. Find y, given that y - v*y**3 + 0 - 1/2*y**2 = 0.
-2, 0, 1
Let a be (1192/(-141699))/(-1 - 7/(-6)). Let z = a - -5882/3487. Factor -4/11 - 10/11*c**3 - 14/11*c - z*c**2 - 2/11*c**4.
-2*(c + 1)**3*(c + 2)/11
Find t such that -12*t - 2*t**2 + 1/4*t**4 + 0 + 5/4*t**3 = 0.
-4, 0, 3
Find j, given that 2/13*j**4 - 10/13*j - 900/13 + 34/13*j**3 + 154/13*j**2 = 0.
-9, -5, 2
Let z = -8104891/399 - -20313. Let q = 10757/1596 - z. Factor -q*s - 33/4*s**3 + 45/4*s**2 + 9/4*s**4 + 3/2.
3*(s - 1)**3*(3*s - 2)/4
Let y(p) = -2*p**3 + 2*p**2 + 353*p - 1574. Let u(t) = 2*t**2 + t - 2. Let k(i) = 3*u(i) - y(i). Factor k(s).
2*(s - 7)**2*(s + 16)
Suppose -769*g**2 + 1415*g**2 - 2566*g**2 - 4*g**3 - 1344*g**2 - 3272 + 6540*g = 0. What is g?
-818, 1
Let j(x) be the first derivative of -x**7/168 - 25*x**6/72 - 25*x**5/3 - 625*x**4/6 + 143*x**3/3 - 91. Let z(i) be the third derivative of j(i). Factor z(q).
-5*(q + 5)*(q + 10)**2
Suppose 1734*v =