2 - 40/3*o + 6*o**3.
2*o*(o - 2)*(o + 1)*(o + 10)/3
Let m(i) = -8*i**2 - 1075*i - 1073. Let j(h) = -15*h**2 - 2150*h - 2145. Let n(c) = 3*j(c) - 5*m(c). Factor n(l).
-5*(l + 1)*(l + 214)
Let t(j) = 6*j**4 - 377*j**3 - 1932*j**2 - 3155*j - 1573. Let x(m) = -9*m**4 + 565*m**3 + 2898*m**2 + 4732*m + 2360. Let b(n) = -16*t(n) - 11*x(n). Factor b(d).
3*(d - 66)*(d + 1)*(d + 2)**2
Factor -27/4*o**2 - 1/4*o**3 - 105/4 - 131/4*o.
-(o + 1)*(o + 5)*(o + 21)/4
Let x(i) be the first derivative of 3*i**4/4 - 7449*i**3 + 41604525*i**2/2 + 41626875*i + 10426. Factor x(r).
3*(r - 3725)**2*(r + 1)
Suppose m = 6, 856*z - 855*z - 7 = 3*m. Let o(j) be the first derivative of -6*j - 3/5*j**5 - z - 3/2*j**2 + 3*j**3 + 3/4*j**4. Let o(f) = 0. What is f?
-1, 1, 2
Let z(q) be the third derivative of 1/60*q**6 + 1/2*q**4 - 13/90*q**5 + 0 + 21*q - 3*q**2 - 8/9*q**3. Solve z(i) = 0.
1, 4/3, 2
Suppose 349*n**2 - 33604 + 401*n**2 + 28125*n + 5*n**3 + 33604 = 0. Calculate n.
-75, 0
Let s(r) be the second derivative of r**4/12 + 2*r**3/3 - 3*r**2/2 + 5*r. Let u be s(-5). Factor 20 - 3*f**u + 6*f + 5*f**3 - 6*f - 2*f**2 - 20*f.
5*(f - 2)*(f - 1)*(f + 2)
Let n = 1367/21 - 444/7. Find m, given that 11/6 - 1/6*m**2 + n*m = 0.
-1, 11
Factor 416*b - 329672 - 2*b**2 + 999*b + 52*b + 157*b.
-2*(b - 406)**2
Factor 1/7*o**3 - 292/7*o + 28 + 95/7*o**2.
(o - 2)*(o - 1)*(o + 98)/7
Suppose 0 = 387*v - 1144 - 1278 + 487. Let i(t) be the third derivative of 1/90*t**v + 37*t**2 + 2/9*t**3 + 0 - 1/12*t**4 + 0*t. Let i(z) = 0. What is z?
1, 2
Let g = -143/36 + 38/9. Let t be (-12)/4 + (-294)/(-56). Suppose -t + 3/2*i - g*i**2 = 0. What is i?
3
Let -448/3 - 1/3*r**3 - 41/3*r**2 - 302/3*r = 0. What is r?
-32, -7, -2
Factor 48/7 + 18/7*k**3 - 232/7*k + 68/7*k**2.
2*(k - 2)*(k + 6)*(9*k - 2)/7
Let q(i) be the third derivative of -i**5/100 - 517*i**4/20 - 267289*i**3/10 + 16369*i**2. Factor q(n).
-3*(n + 517)**2/5
Let y(i) be the first derivative of i**6/120 + 17*i**5/20 + 289*i**4/8 + i**3/3 - 16*i - 17. Let a(o) be the third derivative of y(o). Solve a(l) = 0.
-17
Let m(s) be the second derivative of 7*s**6/270 + 5*s**5/9 + 8*s**4/9 - 40*s**3/27 - 34*s**2 + 2*s - 36. Let p(u) be the first derivative of m(u). Factor p(y).
4*(y + 1)*(y + 10)*(7*y - 2)/9
Let d be ((-4)/32 - 62/16) + 184. Determine x, given that 15*x**2 - 1405 + 1325*x - 170*x + d + 14*x**2 + x**3 + 40*x**2 = 0.
-35, 1
Let q = 2095 + -2083. Let x(h) be the first derivative of -2/3*h**3 + 10*h**2 + q - 50*h. Let x(a) = 0. What is a?
5
Let x = 1071667 + -1071667. Solve x*h + 4*h**2 - 12/7*h**3 - 16/7 = 0 for h.
-2/3, 1, 2
Suppose -57*w + 118*w = 81*w - 120. Let v(h) be the first derivative of 3*h**4 + 0*h + 0*h**2 - 29 + 4/3*h**3 + 2/3*h**w + 12/5*h**5. Factor v(d).
4*d**2*(d + 1)**3
Let g(w) be the second derivative of 7/12*w**4 - 18*w - 1/40*w**5 - 16/3*w**3 + 24*w**2 + 0. Factor g(c).
-(c - 6)*(c - 4)**2/2
Let f be 20/(-16) + 1/4 - -32. Let w = 6 - 3. Solve 2*j**2 - f*j**3 + 60*j**3 - 33*j**w = 0.
0, 1/2
Let l(n) be the second derivative of -n**5/150 + 5*n**4/12 - 8*n**3/5 - 141*n**2/2 + 56*n - 2. Let b(x) be the first derivative of l(x). Factor b(q).
-2*(q - 24)*(q - 1)/5
Let t = -1247/390 + 42/13. Let v(z) be the second derivative of 0 + 1/9*z**3 + 1/9*z**4 + t*z**5 - 4*z + 0*z**2. Find g, given that v(g) = 0.
-1, 0
Suppose -3*i = -u + 18, -78 = -3*u - 15*i + 12*i. Let w be u - 33 - (-334)/34. Solve -2/17*j**3 - 6/17 - 10/17*j**2 - w*j = 0.
-3, -1
Let b(p) be the first derivative of 21*p**6/10 - 12*p**5/5 - 33*p**4/10 + 4*p**3 + 3*p**2/10 + 1714. Find t such that b(t) = 0.
-1, -1/21, 0, 1
Let v(w) be the first derivative of -65/3*w**3 + w**5 + 55/2*w**2 - 55/4*w**4 + 60*w - 147. Factor v(l).
5*(l - 12)*(l - 1)*(l + 1)**2
Let h(n) = 54 + 56 - 112 + n. Let u be h(4). Factor -30*x**3 + 25*x + 10*x**2 + 3*x**4 + 11*x + 6*x**4 - 12 - x**u.
3*(x - 2)**2*(x + 1)*(3*x - 1)
Find g such that 1660/7*g - 418/7*g**2 - 1656/7 + 1/7*g**3 = 0.
2, 414
Let o be (-8)/72*(60/(-68) - -1). Let z = 149/306 - o. Factor -1/3*k - 1/2*k**2 + 1/2*k**5 + z*k**3 + 7/6*k**4 + 0.
k*(k + 1)**3*(3*k - 2)/6
Let m be 2*(5 + 0)*(-11 - 1792/(-160)). Solve 10/13*y**m + 22/13*y**4 + 0*y - 6/13*y**5 + 0 + 38/13*y**3 = 0 for y.
-1, -1/3, 0, 5
Let l be 2/(129/66 - 2). Let m = 60 + l. Suppose -6*j + m*j**2 - 6*j + 15*j + 37*j + 25 = 0. Calculate j.
-5/4
Let j(q) be the second derivative of -5*q**4/24 - 1940*q**3/3 - 752720*q**2 - 4311*q. Factor j(t).
-5*(t + 776)**2/2
What is p in -238*p - 228*p**2 + 224*p**2 - 1124 - 444*p - 446*p = 0?
-281, -1
Let m(p) be the second derivative of p**5/100 - 3*p**4/4 - p**3/30 + 9*p**2/2 - 330*p - 6. Factor m(s).
(s - 45)*(s - 1)*(s + 1)/5
Let i(y) be the second derivative of -y**5/12 - 5*y**4/6 - 5*y**3/2 + y**2/2 - y - 1. Let u(p) be the first derivative of i(p). Let u(v) = 0. What is v?
-3, -1
Let w(y) be the first derivative of y**4/72 - 53*y**3/36 - 87*y - 33. Let x(l) be the first derivative of w(l). Factor x(a).
a*(a - 53)/6
Let d(v) be the third derivative of v**8/1512 + 4*v**7/105 - 19*v**6/90 + 58*v**5/135 - 13*v**4/36 - 2*v**2 + 388*v + 1. Factor d(w).
2*w*(w - 1)**3*(w + 39)/9
Let a(c) be the first derivative of 4*c**5/5 + 5*c**4 + 16*c**3/3 - 2230. Factor a(v).
4*v**2*(v + 1)*(v + 4)
Let f = 60 - 40. Factor 4*j**4 - 125 + 125 - 36*j + 12*j**2 + f*j**3.
4*j*(j - 1)*(j + 3)**2
Let b(x) be the second derivative of x**7/294 + 27*x**6/70 + 2523*x**5/140 + 37763*x**4/84 + 45496*x**3/7 + 383328*x**2/7 - 2003*x. Factor b(w).
(w + 11)**3*(w + 24)**2/7
Let i(m) be the third derivative of -m**5/30 + 113*m**4/6 - 12769*m**3/3 + 556*m**2. Determine y, given that i(y) = 0.
113
Let w(g) be the third derivative of g**7/168 - g**6/72 + g**3/6 - 41*g**2. Let s(f) be the first derivative of w(f). Suppose s(q) = 0. Calculate q.
0, 1
Let j(v) be the first derivative of -v**4/4 - 4*v**3 - 10*v**2 + 96*v - 1708. Factor j(n).
-(n - 2)*(n + 6)*(n + 8)
Factor -36 + 18*l + 8*l - 14*l + 0*l**2 - l**2 + 8*l.
-(l - 18)*(l - 2)
Let x(l) = 50*l**2 + 65*l - 125. Let m(f) = f**2 - 2*f - 18*f**3 + 41*f**3 - 24*f**3. Let w(r) = -5*m(r) + x(r). Solve w(t) = 0 for t.
-5, 1
Let r = 1341319 - 278994971/208. Let y = 55/16 + r. Factor -2/13 - y*w - 2/13*w**3 - 6/13*w**2.
-2*(w + 1)**3/13
Let f be 3/(18/4) + 20/15. Factor 8*u**3 + 68*u**2 + u**4 + u**4 - 62*u**f.
2*u**2*(u + 1)*(u + 3)
Suppose 1/7*k**4 + 173/7*k**2 + 0 - 86/7*k - 88/7*k**3 = 0. Calculate k.
0, 1, 86
Let k(r) be the first derivative of 5*r**6/6 + 81*r**5 - 15*r**4/2 - 2470*r**3/3 - 3255*r**2/2 - 1215*r + 10314. Factor k(m).
5*(m - 3)*(m + 1)**3*(m + 81)
Let r(g) = 7*g**2 + 13*g + 9. Let x be r(-16). Let d = x - 1588. Solve 0*h**2 + 1/6*h**d + 0*h**3 + 1/6*h**4 + 0*h + 0 = 0 for h.
-1, 0
Let k(v) be the first derivative of 9*v**5/10 - 267*v**4/8 + 43*v**3 + 3196. Factor k(a).
3*a**2*(a - 1)*(3*a - 86)/2
Suppose 89 - 119 = 6*n. Let q be n/45*12*(-1)/4. Factor 0*z - 1/3*z**4 + 0 + q*z**2 + 0*z**3.
-z**2*(z - 1)*(z + 1)/3
Let b(p) = p**2 + 1. Let n(v) = v**2 + 7*v + 7. Let d(c) = 6*c + 6. Let w(h) = -5*d(h) + 6*n(h). Let f(q) = 15*b(q) - w(q). Find l, given that f(l) = 0.
1/3, 1
Let u = -12592 - -12592. Let n(p) be the second derivative of -1/54*p**4 + 4/27*p**3 + 0*p**2 + u + 15*p. Find b, given that n(b) = 0.
0, 4
Let l(s) be the second derivative of -2/35*s**5 + 4/7*s**3 + 1/21*s**4 - 1/105*s**6 - 9/7*s**2 - 11 - 2*s. Factor l(z).
-2*(z - 1)**2*(z + 3)**2/7
Let t be (19 - (-2030)/(-110))*33/6. Factor 1/2*k - 1/4*k**4 + 0 - 1/2*k**t + 1/4*k**2.
-k*(k - 1)*(k + 1)*(k + 2)/4
Let y = 31 - 27. Suppose y*g = -0 + 8. Factor -4*c**3 + c**4 - 3*c**4 + 5*c - 10*c**g + 12*c**3 - c.
-2*c*(c - 2)*(c - 1)**2
Let l = 133 - 126. Solve -8*m**2 - 2*m**2 - 264*m - 246*m + 13005 + 8*m**2 + l*m**2 = 0.
51
Let v(r) = r**2 - 7*r + 2. Let h be v(7). Let i be 1 - (h - 6 - -1). Factor -10*t**3 - 20*t**i + 7*t**3 + 21*t**4.
t**3*(t - 3)
Solve 722/3*z**4 + 0 + 64798/3*z**3 + 2/3*z**5 - 65522/3*z**2 + 0*z = 0 for z.
-181, 0, 1
Let i(s) be the third derivative of -s**6/300 + 48*s**5/25 - 57*s**4/4 + 409*s**2. Suppose i(l) = 0. Calculate l.
0, 3, 285
Suppose -35*y - 865*y - 5599*y**2 - 20 - 600*y**2 - 3926*y**2 = 0. Calculate y.
-2/45
Let i be 5*((-2 - -1)*5 + 1). Let x = 0 - i. Factor 14*p - 5*p**3 + 25*p**2 - 27*p + x - 34*p + 