 = 3*h**2 - 119*h - 244. Let y(s) = 4*s**2 - 119*s - 245. Let c(d) = -3*w(d) + 2*y(d). Factor c(r).
-(r - 121)*(r + 2)
Let a(z) = -55*z - 147. Let s be a(-3). Suppose 0 = -5*n + h + 4 + 10, -5*h = n + s. Factor 0*x**n + 0 - x**4 + 0*x + 1/2*x**3.
-x**3*(2*x - 1)/2
Let t be ((-2)/(-60))/(168/420) - (-86)/120. Factor t*j**2 + 0 + 4/5*j.
4*j*(j + 1)/5
Let k = 260 - 258. Find v, given that -30*v**4 + 12*v**k + 7*v**5 - 72*v**2 + 2*v**5 + 65*v**3 - 4*v**5 + 20*v = 0.
0, 1, 2
Let j(t) be the first derivative of -t**3/12 - 19*t**2/4 - 37*t/4 + 1459. Factor j(v).
-(v + 1)*(v + 37)/4
Let d = 441874/552355 - -2/110471. Let c(x) = -2*x**3 - x. Let j be c(-1). Suppose d*w**2 + 8*w + 32/5 - 4/5*w**j = 0. Calculate w.
-2, -1, 4
Let j(g) be the third derivative of -1/90*g**5 + 13/3*g**3 + 19/18*g**4 + 1 + 0*g - 125*g**2. Factor j(c).
-2*(c - 39)*(c + 1)/3
Let w = -75/5911 + 82979/17733. What is l in 13/3 + 1/3*l**2 - w*l = 0?
1, 13
Let f(c) be the third derivative of c**5/20 + 223*c**4/24 - 25*c**3 - 1833*c**2 + 3. Solve f(y) = 0.
-75, 2/3
Let s(n) be the third derivative of n**7/210 - n**6/360 - n**5/60 + n**4/72 + 69*n**2 + 3*n. What is p in s(p) = 0?
-1, 0, 1/3, 1
Let u(f) be the second derivative of f**5/25 + 91*f**4/15 + 868*f**3/15 + 688*f**2/5 + 4268*f. Factor u(a).
4*(a + 1)*(a + 4)*(a + 86)/5
Let o(w) = 2*w**3 + 160*w**2 + 178*w - 358. Let m(y) = -5*y**3 - 482*y**2 - 535*y + 1073. Let t(n) = -6*m(n) - 17*o(n). Factor t(f).
-4*(f - 44)*(f - 1)*(f + 2)
Let w(x) = -12*x**3 - 11*x**2 - 32*x + 224. Let p(f) = -2*f**3 + f**2 + f + 2. Let k(b) = 24*p(b) - 3*w(b). Factor k(m).
-3*(m - 4)**2*(4*m + 13)
Let d(s) be the first derivative of s**3/18 - 43*s**2/12 + 176*s/3 + 12. Find p, given that d(p) = 0.
11, 32
Let w(l) be the first derivative of l**6/2880 - l**5/80 - 115*l**3/3 - 86. Let t(d) be the third derivative of w(d). Solve t(v) = 0.
0, 12
Let h(x) = 6*x**4 + 1389*x**3 + 129723*x**2 + 4147361*x + 7786880. Let i(q) = -q**4 + q**3 - 3*q**2 - q. Let s(k) = h(k) + i(k). Suppose s(d) = 0. Calculate d.
-92, -2
Determine x, given that -4/9*x**4 + 196/9*x + 0 + 196/9*x**2 - 4/9*x**3 = 0.
-7, -1, 0, 7
Let b = 384 + -380. What is d in 125*d**3 + 72*d**3 - 27*d**3 + 784 - 3*d**b - 2141*d**2 - 322*d**2 + 1512*d = 0?
-1/3, 1, 28
Suppose -78*v + 111*v = 36531. Let j = v - 1104. Factor 0*h**2 + 0 + j*h**3 + 3/2*h**4 + 0*h.
3*h**3*(h + 2)/2
Find v such that 0*v - 4008/11*v**2 + 0 - 2/11*v**3 = 0.
-2004, 0
Let s(c) be the third derivative of -1/20*c**6 + 1/672*c**8 + 1/420*c**7 - 1/3*c**4 - 16*c**2 + 0*c**3 + 2*c - 7/30*c**5 + 0. Factor s(f).
f*(f - 4)*(f + 1)*(f + 2)**2/2
Let -72962/3*v**2 + 0 - 2/3*v**5 - 73726/3*v**3 + 0*v - 766/3*v**4 = 0. What is v?
-191, -1, 0
Let r(u) be the third derivative of -2*u**7/35 + 257*u**6/30 - 5459*u**5/15 - 2021*u**4/6 + 7396*u**3/3 + 452*u**2. Find s, given that r(s) = 0.
-1, 2/3, 43
Let h be ((-3)/(-12))/(-8 + 5038/616). Factor -h*m + 6/5 - 18/5*m**2 - m**3.
-(m + 1)*(m + 3)*(5*m - 2)/5
Let v = -1558 + 18697/12. Let u(s) be the first derivative of v*s**3 + 1/2*s**2 + 6 + 3/4*s. Factor u(d).
(d + 1)*(d + 3)/4
Let g(b) be the third derivative of -1/7*b**7 + 9*b**2 + 0*b + 0 + 5/336*b**8 + 1/3*b**6 - 15/8*b**4 + 1/6*b**5 + 10/3*b**3. Factor g(x).
5*(x - 4)*(x - 1)**3*(x + 1)
Suppose -g = -4*b + 68, -32*g + 34 = 2*b - 31*g. Suppose 2*x - 8 = 0, q + b = 10*x - 5*x. Factor 4/3*n + 8/3 - 8/3*n**2 - 4/3*n**q.
-4*(n - 1)*(n + 1)*(n + 2)/3
Let q(j) be the second derivative of j**4/18 - 250*j**3/9 + 15625*j**2/3 - 2*j + 369. Factor q(a).
2*(a - 125)**2/3
Let x = 743 - 743. Let b(o) be the second derivative of -1/4*o**3 - 1/24*o**4 - 1/2*o**2 + x + 15*o. Factor b(z).
-(z + 1)*(z + 2)/2
Let b = 7727/11586 + -1/3862. Let k(f) be the first derivative of 0*f + b*f**3 - 9 + 0*f**2. Factor k(c).
2*c**2
Let p(x) = 98*x + 6 - 98*x - 10*x**3 + 0*x**3 + 2*x**2. Let m(b) = b**3 + 0*b**3 + 1 + b**2 - 2. Let q(z) = 6*m(z) + p(z). Find f such that q(f) = 0.
0, 2
Suppose d - g - 9 = 0, 144*d = 145*d + 5*g + 45. Suppose d + 0*j + 2/7*j**2 - 12/7*j**3 = 0. What is j?
0, 1/6
Solve 2/3*o**2 - 30*o + 328/3 = 0.
4, 41
Let o(l) be the second derivative of l**5/120 + 29*l**4/72 + 131*l**3/36 - 161*l**2/12 - 2*l - 34. Let o(p) = 0. What is p?
-23, -7, 1
Let z(g) = 9*g**3 + 3*g**2 - 3*g. Let t(r) = 7*r**3 + r**2 - 2*r. Let y = -111 + 114. Let m(f) = y*t(f) - 2*z(f). Factor m(k).
3*k**2*(k - 1)
Let x = -602 - -425. Let n = x - -2303/13. Factor 4/13*d**3 - n*d**4 + 0 - 2/13*d**2 + 0*d.
-2*d**2*(d - 1)**2/13
Let y(n) = n**2 + 5*n + 11. Let k be y(-2). Factor 36*o**4 - 6*o**4 - 274*o**2 + 324*o**2 + 58*o**3 + 2*o**3 + 5*o**k + 15*o.
5*o*(o + 1)**3*(o + 3)
Let r = -375 + 377. Factor -8 + 28 + 73*q**3 - 36*q + 15*q**5 + 270*q**r + 74*q + 110*q**4 + 187*q**3 + 87*q.
5*(q + 1)**3*(q + 4)*(3*q + 1)
Suppose 19*l - 237 = 789. Factor 100*s**3 + 22 + 47*s - l*s + 195*s**2 + 15*s**4 + 18 + 157*s.
5*(s + 1)**2*(s + 4)*(3*s + 2)
Let c(a) = -a**2 + 10*a - 12. Let b be c(8). Suppose -2*l = -2*x + 12, 0*x - x + b*l = -18. Find w such that -60*w**2 + 0 + 58*w**x + 0 + 4*w = 0.
0, 2
Let q = -315 - -333. Let 10 + q - 5*z**2 + z**2 + 2*z**2 + 10*z = 0. Calculate z.
-2, 7
Let q = 259765/151529 - 1/151529. Let -38/7*o - q - 18/7*o**3 - 6*o**2 - 2/7*o**4 = 0. Calculate o.
-6, -1
Let c(y) = 2*y**5 - y**4 + y**3 + 2*y**2 + y. Let q(g) = -15*g**5 - 35*g**4 - 50*g**3 + 120*g**2 + 255*g + 120. Let n(m) = 5*c(m) + q(m). What is z in n(z) = 0?
-6, -2, -1, 2
Find h such that -210 - 266*h - 392*h + 273*h + 58*h**2 - 776*h - 36*h**3 - 1351*h**2 = 0.
-35, -2/3, -1/4
Let a(r) = -20*r**2 + 428*r - 2512. Let t(i) = -2*i**2 + 39*i - 229. Let d(b) = 3*a(b) - 32*t(b). Determine z so that d(z) = 0.
-13, 4
Let u(c) be the first derivative of -c**4/9 - 32*c**3/3 - 90*c**2 - 264*c - 240. Factor u(y).
-4*(y + 3)**2*(y + 66)/9
Let f(p) be the third derivative of -p**6/72 + 79*p**5/36 - 1055*p**4/18 - 770*p**3/3 - 12243*p**2. Factor f(n).
-5*(n - 66)*(n - 14)*(n + 1)/3
Let d(i) be the second derivative of i**6/20 - 9*i**5/20 + 9*i**4/8 - i**3 + 4215*i. Factor d(h).
3*h*(h - 4)*(h - 1)**2/2
Let y(n) be the third derivative of 0 + 0*n + 0*n**4 + 0*n**3 - 1/330*n**5 + 2*n**2. Factor y(j).
-2*j**2/11
Let r(z) be the second derivative of -z**6/15 - 438*z**5/5 - 47961*z**4 - 14004612*z**3 - 2300257521*z**2 - 1015*z - 2. Factor r(y).
-2*(y + 219)**4
Let z(g) be the first derivative of 1/9*g**3 - 2/27*g**4 + 1/90*g**5 + 17*g + 0*g**2 + 16. Let r(y) be the first derivative of z(y). What is t in r(t) = 0?
0, 1, 3
Let t(x) be the third derivative of x**5/180 - x**4/9 + 2*x**3/3 + 353*x**2 + 5. Factor t(b).
(b - 6)*(b - 2)/3
Let m(x) be the second derivative of -x**4/28 - 113*x**3/14 + 171*x**2/7 + 4*x + 254. Factor m(l).
-3*(l - 1)*(l + 114)/7
Let b(n) be the second derivative of 1/105*n**7 + 0 - 2/25*n**6 - 7/50*n**5 + 0*n**3 + 0*n**2 - 196*n + 0*n**4. Factor b(y).
2*y**3*(y - 7)*(y + 1)/5
Suppose t = -4*w + 15, 5*w + t = 4*w + 6. Suppose 69 - w*o**3 + 3*o**5 - 42 - 27 = 0. Calculate o.
-1, 0, 1
Let -12*i - 6/5*i**5 + 66/5*i**3 + 0 - 54/5*i**2 + 54/5*i**4 = 0. Calculate i.
-1, 0, 1, 10
Let t = 17499 - 17473. Let h(r) be the first derivative of -20/3*r**3 + 0*r**2 - t - 25/4*r**4 + 0*r - r**5. Factor h(x).
-5*x**2*(x + 1)*(x + 4)
Factor -136/9 - 26/9*z + 2/9*z**2.
2*(z - 17)*(z + 4)/9
Let s = -20050/3 - -6684. Let p be (8/(-2))/((-10)/5). Let -14*w - s*w**3 + 16/3*w**p + 12 = 0. Calculate w.
2, 3
Let -138*g + 3*g**2 + g**2 + 586*g - 4*g**2 - g**2 - 50176 = 0. Calculate g.
224
Let b = -9 - -16. Let t(f) = -11*f**2 + 5*f - 8. Let g(o) = -12*o + 4 + 2*o + 8*o + 6*o**2. Let i(x) = b*g(x) + 4*t(x). Factor i(z).
-2*(z - 2)*(z - 1)
Let d(f) be the third derivative of 5/6*f**3 + 0*f**6 + 0*f**4 + 0*f - 1/6*f**5 + 0 + 1/42*f**7 - 79*f**2. Find c such that d(c) = 0.
-1, 1
Let f = 7740 - 7740. Let o(p) be the second derivative of 9/110*p**5 - p + 0*p**2 + f - 4/33*p**3 + 8/33*p**4. Suppose o(h) = 0. What is h?
-2, 0, 2/9
Let i(p) be the second derivative of p**7/840 + p**6/48 + p**4/3 - 11*p + 7. Let t(y) be the third derivative of i(y). Factor t(c).
3*c*(c + 5)
Let h(x) be the third derivative of x**6/320 - 373*x**5/80 + 139129*x**4/64 - x**2 - 526. Find p such that h(p) = 0.
0, 373
Let i(x) be the second derivative of -7*x**6/90 - 