 11*z**4/36 + 5*z**3/4 - 38*z**2 + 242. Let h(l) be the second derivative of y(l). Let h(b) = 0. What is b?
-45, 1
Suppose 312*t - 121 - 38 + 365 + 197 - 4*t**2 + 237 = 0. What is t?
-2, 80
Let m(o) be the third derivative of -10/33*o**3 - 21*o**2 + 1 + 0*o + 7/132*o**4 - 1/330*o**5. Determine t, given that m(t) = 0.
2, 5
Suppose -x = 3*x. Let k = -6/40307 + 201547/80614. Factor k*i**2 + 0*i + x + 1/2*i**3.
i**2*(i + 5)/2
Find g, given that -19*g + 65*g**3 - 42*g**3 - 39*g - 179*g**2 - 40*g**3 - 316*g**2 = 0.
-29, -2/17, 0
Suppose -3*p - 323 = l + 250, 5*p - 5*l = -975. Let k = p - -961/5. Factor -9/5*s**2 + k*s**3 + 0*s + 0.
s**2*(s - 9)/5
Let u(j) be the first derivative of j**5/180 + j**4/8 + 7*j**3/9 - 2*j**2 - 6*j + 10. Let m(n) be the second derivative of u(n). Factor m(a).
(a + 2)*(a + 7)/3
Let r = 57 + -33. Suppose i - 3*i = -r. Factor 8*p**3 + 3 + 10*p**4 - 5 + 8*p - 12*p**4 - i*p**2.
-2*(p - 1)**4
Let s = -193/3 - -65. Let w = -940973 - -940975. Factor -s*m**w - 128/3 + 32/3*m.
-2*(m - 8)**2/3
Let v be ((-3)/(-1))/((-105)/(-140)). Let b(d) be the first derivative of -5*d**5 + 0*d**3 + 0*d**2 - 5/4*d**v - 35 + 0*d. Suppose b(s) = 0. Calculate s.
-1/5, 0
Let k(v) = -v**3 + 100*v**2 - 476*v. Let t(s) = -s**3 + 200*s**2 - 951*s. Let l(d) = 9*k(d) - 4*t(d). Determine q, given that l(q) = 0.
0, 8, 12
Let w be (-38)/(-2)*(-348)/(-3306). Let m = 48/5 + -306/35. Factor 16/7*x + m*x**w + 8/7.
2*(x + 2)*(3*x + 2)/7
Let m(i) be the second derivative of i**7/504 - i**6/18 + i**5/2 - i**3/6 + 4*i**2 + 2*i + 27. Let d(o) be the second derivative of m(o). Solve d(z) = 0 for z.
0, 6
Let y be ((-231)/45 + 7)/((-12)/(-10) - (-66 + 66)). Factor -4/9*k**3 + 0 - 8/9*k - 2/9*k**4 + y*k**2.
-2*k*(k - 1)**2*(k + 4)/9
Let l be ((-4 - -9) + -4)/((-1)/(-11)). Suppose -4 = 4*n - 20. Suppose -13*f**4 - 2*f**5 - 2*f**2 + 26*f**n + 2*f**3 - l*f**4 = 0. Calculate f.
-1, 0, 1
Let -66*n**3 + 957*n**2 - 1284*n**3 + 151*n**4 + 1599*n**2 + 614*n + 368 - 97*n**4 - 2286*n = 0. Calculate n.
2/3, 23
Let x(u) be the first derivative of 27 + 0*u - 3/2*u**4 - 2/3*u**3 + 2/5*u**5 + 2*u**2 + 1/3*u**6. Factor x(k).
2*k*(k - 1)**2*(k + 1)*(k + 2)
Let v = 249/209 + 925/627. Solve 8/9 - 14/9*r**2 - v*r = 0 for r.
-2, 2/7
Let f(t) = -16*t**3 + 381*t**2 - 910*t + 805. Let b(r) = 5*r**3 - 120*r**2 + 303*r - 268. Let k(g) = -13*b(g) - 4*f(g). Factor k(h).
-(h - 24)*(h - 11)*(h - 1)
Suppose -1044*i + 1054*i = -50. Let q be i/4*86/(-215). Determine a, given that -9/4*a**2 - 5/4*a**3 - q - 1/4*a**4 - 7/4*a = 0.
-2, -1
Let d = 48 + -34. Suppose -d = 128*t - 135*t. Let -2/5*o + 0 - 1/5*o**3 - 3/5*o**t = 0. Calculate o.
-2, -1, 0
Suppose -3*v - 23 = 2*n - 3*n, -4*n - 4 = 4*v. Let a be (-208)/120 + (-14)/v. Let a*j + 2/5 + 1/5*j**2 = 0. Calculate j.
-2, -1
Suppose -182 = -49*p + 42*p. Solve -35*q + 84*q**2 - 12*q**3 + 76*q**2 + 9*q - p*q = 0 for q.
0, 1/3, 13
Determine g, given that 55*g**3 - 9*g**4 - 87/2 + 499/4*g - 255/2*g**2 + 1/4*g**5 = 0.
1, 2, 3, 29
Let v(g) be the first derivative of -g**3/9 + 2*g**2 + 220*g/3 - 1591. Factor v(c).
-(c - 22)*(c + 10)/3
Let t(v) be the third derivative of -1/16*v**4 - 1/120*v**5 - 3*v**2 + 1/720*v**6 - 5/36*v**3 - 5 + 0*v. What is f in t(f) = 0?
-1, 5
Let q(x) be the third derivative of x**5/30 - 11*x**4/12 + 10*x**3 + x**2 + 477*x. Factor q(w).
2*(w - 6)*(w - 5)
Let a = -2008 + 2011. Let q(x) be the second derivative of 3/20*x**2 - 1/120*x**4 + 0 - 18*x + 1/30*x**a. Factor q(n).
-(n - 3)*(n + 1)/10
Solve 2048*j**3 + 136*j**4 + 5589 + 1772*j**2 + 5964*j**2 + 16901*j + 4*j**5 - 452*j**3 + 2091 - 2949*j = 0.
-15, -8, -2, -1
Let q(z) be the second derivative of 2*z**5/25 - 179*z**4/30 + 299*z**3/15 + 86*z**2/5 + 1265*z. Factor q(r).
2*(r - 43)*(r - 2)*(4*r + 1)/5
Let a be 16/(-120)*-10*(-6)/(-4). Suppose 49*l**2 - 8*l**3 - 12*l + 34*l**2 - 96*l**a + 35*l**2 - 2*l**4 = 0. Calculate l.
-6, 0, 1
Let l(p) be the first derivative of -12*p**4 - 92*p**3/3 + 8*p**2 + 60*p + 1352. Find v, given that l(v) = 0.
-5/3, -1, 3/4
Let l be (-1548)/252 - (-4)/(-56)*-2. Let z(j) = 139 + 27*j - 831 + 14*j**2 - 134*j. Let m(w) = -5*w**2 + 36*w + 231. Let t(k) = l*z(k) - 17*m(k). Factor t(p).
(p + 15)**2
Let d(y) = y**2 - 45*y + 84. Let f be d(2). Let x be (f*(-5)/(-15))/((-22)/18). Find q such that x + 10/11*q**2 + 14/11*q + 2/11*q**3 = 0.
-3, -1
Let q(s) = 3*s**2 + 7*s - 38. Let u be q(-5). Let b be 60/75 + u/(-5). Factor b*k + 0 + 2/5*k**2.
2*k*(k + 1)/5
Let x be ((-78)/4 + 2)*(-96)/168. Let c(u) = u**3 - 8*u**2 - 22*u + 24. Let g be c(x). Suppose -g*i + 12 + 1/3*i**2 = 0. What is i?
6
Let t(j) be the first derivative of -5*j**3/3 + 25*j**2 + 120*j - 7208. Find k such that t(k) = 0.
-2, 12
Let s be (-2)/(10/(-15)) - 0. Let l be s - (4 + 16/(-4)). Factor 5 - 5 + l*w**5 - w**5.
2*w**5
Factor -3*b**4 - 250*b**3 - b**4 + 481*b**2 + 9*b**4 + 235 + 239*b**2 - 710*b.
5*(b - 47)*(b - 1)**3
Let w(o) be the second derivative of 6*o**2 - 1/10*o**6 + 3/5*o**5 - 2*o**3 + 7*o + 0 - 3/4*o**4. Suppose w(f) = 0. Calculate f.
-1, 1, 2
Suppose -2*n**4 - 7*n**3 - 112*n**3 - 65*n**3 + 770*n**2 - 18*n**3 + 16*n**3 - 582*n = 0. Calculate n.
-97, 0, 1, 3
Suppose 0 = -3*l - 5*t - 20, -3*l - 338 = 3*t - 326. Factor -22/7*y**3 - 20*y**2 + l - 200/7*y - 1/7*y**4.
-y*(y + 2)*(y + 10)**2/7
Let h(v) = 3*v**2 + 385*v + 772. Let n(x) = 2*x**2 + 192*x + 384. Let s(l) = -4*h(l) + 7*n(l). Find f, given that s(f) = 0.
-2, 100
Let d(o) be the third derivative of -o**5/10 + 5*o**4/12 - o**3 + 6*o**2 + 2*o. Let n(c) = -13*c**2 + 19*c - 11. Let i(l) = -5*d(l) + 2*n(l). Factor i(g).
4*(g - 2)*(g - 1)
Let a be (-13 - (4 - 17))/2. Let t(v) be the second derivative of 7*v + 0*v**2 - 5/6*v**4 - 1/4*v**5 - 25/42*v**7 + 4/3*v**6 + a + 0*v**3. Factor t(f).
-5*f**2*(f - 1)**2*(5*f + 2)
Suppose -5*z + 3 = -3*a, 3*z - 4*a - 14 = -21. Solve -56*d**3 - 47*d**3 + 102*d**z + 10*d**2 + 11*d**2 = 0 for d.
0, 21
Let c(g) be the first derivative of -1225*g**3/6 + 455*g**2/2 - 169*g/2 - 4270. Suppose c(u) = 0. What is u?
13/35
Let l(i) = -355*i + 1070. Let r be l(3). Find g, given that 1/3*g**r + 2/3*g + 0 - 5/3*g**4 - 7/3*g**2 + 3*g**3 = 0.
0, 1, 2
Let x(f) = 3*f**2 - 4*f + 2. Let a be x(3). Let d = a + -13. Factor -2*i**3 + 4*i**4 + d*i - 104*i**2 + 100*i**2 - 2*i**3.
4*i*(i - 1)**2*(i + 1)
Let u be (-3492)/(-22698) - (12/1)/(13/(-2)). What is b in -169/5 - 1/5*b**u - 26/5*b = 0?
-13
Let c = 2510 - 2507. Let n(w) be the first derivative of 0*w - 9 + 1/6*w**2 - 1/9*w**c. Factor n(i).
-i*(i - 1)/3
Let g(t) = t**2 - 10*t - 115. Let k be g(17). What is f in 4 - 392*f**4 - 120*f**3 - 4 - 350*f**4 + 8*f**2 + 800*f**k = 0?
0, 2/29, 2
Suppose 12*w - 153 = 9*w. Let q = w + -49. Find s such that 16*s + 40*s - 3*s**q + 363 + 6*s**2 + 10*s = 0.
-11
Let m = -8 - -2. Let d be (-5)/(-25)*-4*15/m. Factor -7*z**d - 8 - 3*z**2 + 13*z**2 - 4.
3*(z - 2)*(z + 2)
Let r(y) be the second derivative of 5*y**4/3 + 55*y**3/3 + 605*y**2/8 + 2155*y. What is u in r(u) = 0?
-11/4
Let v(l) be the third derivative of l**6/120 - 13*l**5/60 - 5*l**4/4 + 3*l**2 + 80. Factor v(b).
b*(b - 15)*(b + 2)
Let d(y) = -12*y**3 - 3745*y**2 - 309*y + 940. Let a be d(-312). Factor -78/5*s**3 + 58/5*s**2 - 18/5*s**a + 0 - 2*s.
-2*s*(s + 5)*(3*s - 1)**2/5
Let b(c) be the third derivative of -23*c**2 - 1/60*c**6 - 1/6*c**4 - 1/10*c**5 + 0*c + 0 + 0*c**3. Factor b(l).
-2*l*(l + 1)*(l + 2)
Let h(v) be the second derivative of -v**5/220 - 59*v**4/66 - 3481*v**3/66 - 40*v - 156. Solve h(q) = 0 for q.
-59, 0
Let z(n) = -16*n**4 - 866*n**3 + 2652*n**2 - 2670*n + 830. Let m(f) = -f**4 + f**3 - f - 4. Let p(w) = -28*m(w) + 2*z(w). Factor p(k).
-4*(k - 1)**3*(k + 443)
Let y(q) = 2*q**2 + 8*q + 8. Let n be y(-3). Let w = -1 - -1. Factor 16*h + w*h + h**2 + 81 + n*h.
(h + 9)**2
Let q = 8302/297 + 70/27. Factor -32/11*k - 882/11*k**3 + 0 - q*k**2.
-2*k*(21*k + 4)**2/11
Let h(w) = -5*w**2 + 26*w - 15. Let a(f) = -f + 2*f + 41 - 42. Suppose -2*g + 3*j + 8 = -j, 4*j = -12. Let y(i) = g*h(i) + 18*a(i). Factor y(n).
2*(n - 3)*(5*n - 2)
Let d(z) be the first derivative of -11*z**3/6 - 695*z**2/4 - 63*z + 464. Factor d(b).
-(b + 63)*(11*b + 2)/2
Let d(m) = 40*m + 2400. Let b be d(-60). Let q(w) be the third derivative of 1/12*w**4 + 1/120*w**5 + b - 5/12*w**3 + 9*w**2 + 0*w. Factor q(o).
(o - 1)*(o