(81/(-18) - -5). Let h be 1120/735 - (-2)/t*-2. Factor 2/7 + h*n**2 - 2/7*n**3 - 6/7*n.
-2*(n - 1)**3/7
Let z = -16 - -27. Factor z*j - 22 + 6*j**2 + 9*j**2 - 5*j**2 + 23.
(j + 1)*(10*j + 1)
Let k(i) = 682*i**2 - 4*i + 348. Let j(l) = -57*l**2 - l + 1. Let q(p) = -12*j(p) - k(p). Let q(b) = 0. What is b?
-18, 10
Let k(n) be the third derivative of -3*n**2 + 0*n**4 + 0*n + 1/60*n**6 + 0*n**3 - 1/6*n**5 + 10. Let k(r) = 0. Calculate r.
0, 5
Let o = -271 - -273. Suppose 3*l = -y - 1, -o*l + 3*y + 63 = 60. Solve 0*z + l + 15/2*z**3 + 5/2*z**4 + 5*z**2 = 0 for z.
-2, -1, 0
Let r(a) be the third derivative of a**6/240 + 639*a**5/40 + 408321*a**4/16 + 86972373*a**3/4 - 3*a**2 + 247. Factor r(g).
(g + 639)**3/2
Suppose -10*r - 3 + 129 = 8*r. Let l(p) be the first derivative of 0*p + 1/6*p**3 - r - 1/2*p**2. Factor l(d).
d*(d - 2)/2
Let i(z) be the third derivative of z**5/420 - z**4/28 - 72*z**3/7 + 1360*z**2. Find o, given that i(o) = 0.
-18, 24
Suppose -16 = -5*w + 9. Let y = -428 - -431. What is f in f**3 + 7*f**3 - 48*f**2 - w*f**y + 384*f - 1024 - f**3 = 0?
8
Suppose 0 = -6*d - 2*d + 2400. Factor -5*h**2 + 310*h - 2233 - 120 - 2752 + d.
-5*(h - 31)**2
Let b(r) be the third derivative of -r**5/12 - 135*r**4/2 - 1610*r**3/3 + 2698*r**2. Suppose b(m) = 0. What is m?
-322, -2
Suppose 0 = -10*q + 32 - 14 + 22. Let p(s) be the second derivative of 8/9*s**3 - 4/15*s**5 - 25*s + 0 + 1/12*s**q - 7/90*s**6 + 2/3*s**2. Solve p(l) = 0.
-2, -1, -2/7, 1
Suppose 26*i = -41*i + 134. Let y be (-2)/7 - 570/(-133). Factor 1/2*t**5 - i*t + 2*t**2 + 0 - 2*t**y + 3/2*t**3.
t*(t - 2)**2*(t - 1)*(t + 1)/2
Factor 2/3*h**3 + 0 - 16*h - 10/3*h**2.
2*h*(h - 8)*(h + 3)/3
Factor -141616*f - f**3 + 141257*f + 105*f**2 + 255*f**2.
-f*(f - 359)*(f - 1)
Let l(q) = -3*q**2 + 16*q - 4. Let j be l(4). Let 26*r + 0*r - j*r**3 - 8*r - 6 - r**3 + 11*r - 10*r**2 = 0. What is r?
-2, 3/13, 1
Let y(w) = w**3 + 20*w**2 + w + 31. Let f be y(-20). Let s be f + -1 + (4 - 4). Factor -39*r**2 + 7*r**2 + 5*r + s*r**2 + 2 + 15*r**2.
-(r - 1)*(7*r + 2)
Let k = -1113 + 815. Let n = k - -901/3. Let 21*a**2 - 1/3*a + 3*a**3 - n = 0. Calculate a.
-7, -1/3, 1/3
Let w(q) be the first derivative of 2/5*q**3 + 9/10*q**2 - 9/25*q**5 - 3/10*q**4 - 1/10*q**6 + 3/5*q + 6. Find s, given that w(s) = 0.
-1, 1
Determine i so that 152*i + 243*i + 5*i**3 - 540*i + 525 - 25*i**2 = 0.
-5, 3, 7
Suppose -5936*o + 792*o**2 + 4*o**5 + 532*o**3 - 1778*o**2 - 1382*o**2 + 104*o**4 - 3136 = 0. What is o?
-14, -1, 4
Let s be ((-6)/(-8) - 1169/3340)*10. Suppose -2/3*l**s - 2/3 + 1/3*l + 4/3*l**2 - 2/3*l**3 + 1/3*l**5 = 0. What is l?
-1, 1, 2
Let z(d) be the first derivative of -d**5/10 + 11*d**4/4 - 28*d**3 + 261*d**2/2 - 567*d/2 + 289. Find p such that z(p) = 0.
3, 7, 9
Let y(j) be the second derivative of -j**7/7560 + j**6/216 + 19*j**4/2 + 34*j. Let q(i) be the third derivative of y(i). Factor q(m).
-m*(m - 10)/3
Factor -1/2*r**2 - 5929/2 + 77*r.
-(r - 77)**2/2
Let x(b) be the first derivative of b**3/12 + 445*b**2/2 + 198025*b + 845. Find k such that x(k) = 0.
-890
Let u = 262 + -162. Factor -12*g**2 - 4*g**2 - 11*g + u + 11*g**2 - 29*g.
-5*(g - 2)*(g + 10)
Let k be 408/33 + (-96)/(-18)*(-6)/4. Let p(m) be the first derivative of 8/11*m**3 - 15 + 128/11*m + k*m**2 + 1/22*m**4. Factor p(o).
2*(o + 4)**3/11
Let k = -704018 - -7744426/11. Determine w, given that 2/11*w**4 - 486/11 - 216/11*w + k*w**2 - 40/11*w**3 = 0.
-1, 3, 9
Factor 1/5*k**2 + 158404/5 + 796/5*k.
(k + 398)**2/5
Suppose 0 = -8*t + 14 + 18. Factor -5408*u**3 + 6*u**2 + 8 - 15*u**4 + 21*u + 5390*u**3 + u**5 - t*u**5 + 1.
-3*(u - 1)*(u + 1)**3*(u + 3)
Suppose 0 = 2*r - 4*n - 32, -2*r + 4*r - 5*n = 35. Let f(m) be the first derivative of -r*m**2 - 4*m**3 - 12 + 4*m + 6*m - 11*m + 9*m. Factor f(l).
-4*(l + 2)*(3*l - 1)
Let 3*j**3 + 117 + 121 + 6*j**2 - 35 + 121 - 33*j**2 = 0. Calculate j.
-3, 6
Suppose -4*c - 138 = -150. Factor -198*y - 66*y**2 + 89*y**4 + 188*y - 22*y**c + 100 - 91*y**4.
-2*(y - 1)*(y + 2)*(y + 5)**2
Let n(r) = 4*r**2 + 12*r + 21. Let i be n(-4). Suppose 2*q - 10 = -5*b, b + 62 = 5*q + i. Factor b + 1/2*g**2 + 3*g.
g*(g + 6)/2
Let n(d) be the second derivative of -7*d**4/4 - 829*d**3/2 - 531*d**2 - 2563*d. Suppose n(y) = 0. Calculate y.
-118, -3/7
Factor -3/4*g**2 + 1845*g - 1134675.
-3*(g - 1230)**2/4
Let h = 14869 - 14867. Factor 9/4*c**3 + 25/4*c**h + 5/2 + 1/4*c**4 + 27/4*c.
(c + 1)**2*(c + 2)*(c + 5)/4
Suppose -316*c = -26*c + 165*c - 910. Factor -11/4*u + 0 + 1/4*u**c.
u*(u - 11)/4
Let d be 54 - (-6)/(7 + -6). Determine s, given that 5*s**4 + 263*s**2 - s**3 - d - 125*s - 328*s**2 + 6*s**3 = 0.
-3, -1, 4
Let h(x) be the first derivative of -9*x**5/20 + 5*x**4/2 - 2*x**3 - 12*x**2 - 101*x - 23. Let v(g) be the first derivative of h(g). Factor v(r).
-3*(r - 2)**2*(3*r + 2)
Suppose -4*z - x + 412 = 0, 23*z - 27*z + 5*x + 436 = 0. Let a be (z/234)/(2/12). Find u such that -a*u + u**4 + 8/3*u**3 - 4/3 + 1/3*u**2 = 0.
-2, -1, -2/3, 1
Determine o so that 1162*o**2 + 1428*o**2 + 836*o - 72 - 100*o**3 - 1782*o**2 = 0.
-1, 2/25, 9
Let h be (-19 - -8)*112/(-420)*5/2. Suppose -h*z - 2/3*z**2 - 20/3 = 0. Calculate z.
-10, -1
Let k(x) be the second derivative of x**4/36 - 8*x**3/9 + 55*x**2/6 + 10*x + 50. Factor k(d).
(d - 11)*(d - 5)/3
Let a(b) be the third derivative of -b**5/90 - b**4/2 + 19*b**3/9 + 8*b**2 - 42. Factor a(z).
-2*(z - 1)*(z + 19)/3
Let d(k) = -20*k + 1. Let t be d(1). Let q = t - -25. Determine c, given that -q + 27*c**2 + 32*c - 28*c + 26*c**3 + 2 + 7*c**4 = 0.
-2, -1, 2/7
Let x(r) = 11*r**2 + 2*r + 11. Let q(f) be the first derivative of -7*f**3/3 - f**2/2 - 7*f + 248. Let o(h) = -8*q(h) - 5*x(h). Factor o(y).
(y - 1)**2
Let h(p) be the first derivative of -81/5*p**2 + 1/5*p**3 + 91 + 2187/5*p. Factor h(r).
3*(r - 27)**2/5
Let g(w) = 5*w**2 - 1261*w + 195941. Let z(f) = -4*f**2 + 1258*f - 195940. Let m(o) = -2*g(o) - 3*z(o). Find y such that m(y) = 0.
313
Let g(v) = -2*v**2 + 90*v + 10090. Let c be g(97). Factor 5/2*y**c - 15/2 - 5/4*y**3 + 25/4*y.
-5*(y - 3)*(y - 1)*(y + 2)/4
Suppose 0 = 2*u - 8, -5*i - 5*u + 26 = -2*i. Let 234*n**2 + 336*n**3 + 67*n + 5 - 19*n - i + 131*n**4 + 16*n**4 = 0. What is n?
-1, -1/7
Suppose 120*g - 238*g = 403*g + 49*g - 1140. Find k such that 80/19 + 2/19*k**g + 44/19*k = 0.
-20, -2
Let s(u) be the first derivative of u**3/3 - 15*u**2/8 + 9*u/4 + 1340. Factor s(f).
(f - 3)*(4*f - 3)/4
Determine b, given that -348 - 85*b**3 + 43*b**3 + 220*b - 40*b**2 - 62*b**2 + 45*b**3 + 227*b = 0.
1, 4, 29
Let c(t) = -8*t**2 + 5106*t - 3437442. Let l(b) = -6*b**2 + 5152*b - 3437442. Let g(u) = 2*c(u) - 3*l(u). Factor g(o).
2*(o - 1311)**2
Factor -187*u + 2*u**2 + 360 + 834*u - 285*u.
2*(u + 1)*(u + 180)
Let v(w) be the first derivative of -1/2*w**4 - 2/3*w**3 - 1/30*w**6 - 156 - 1/5*w - 1/5*w**5 - 1/2*w**2. Let v(b) = 0. Calculate b.
-1
Factor 269*i**2 - 1500*i + 3*i**4 + 326*i**2 + 80*i**2 - 93*i**3 + 19*i**3 - 16*i**3.
3*i*(i - 20)*(i - 5)**2
Let k(b) be the third derivative of b**6/6 + 154*b**5/5 + 1794*b**4 + 8464*b**3/3 + 952*b**2. Factor k(t).
4*(t + 46)**2*(5*t + 2)
Let g(t) be the second derivative of -t**7/70 + t**6/8 - t**5/5 - 91*t**2/2 + 3*t - 4. Let x(y) be the first derivative of g(y). Factor x(l).
-3*l**2*(l - 4)*(l - 1)
Let v = 438157/42 + -10432. Let b(w) be the second derivative of v*w**4 + 3/35*w**6 + 0*w**2 + 0 + 2/7*w**5 + 2/21*w**3 + 18*w. Factor b(k).
2*k*(k + 1)**2*(9*k + 2)/7
Let t(x) be the second derivative of -1/15*x**2 - 1/90*x**4 - 74*x + 0 - 2/45*x**3. Factor t(i).
-2*(i + 1)**2/15
Suppose -2*k + 7902 = 4*k. Factor k + 5*l**2 - 2638 - 5*l + 5*l**3 + 1316.
5*(l - 1)*(l + 1)**2
Let a = 56063 + -56061. Suppose -8/11*c**4 + 6/11*c**3 + 0 + 0*c**a + 0*c + 2/11*c**5 = 0. Calculate c.
0, 1, 3
Let k(a) be the second derivative of -a**4/6 - 7*a**3/18 - a**2/6 + 818*a. Factor k(n).
-(n + 1)*(6*n + 1)/3
Suppose 308 = 59*j - 48*j. Find a, given that 27*a**2 - 5*a**3 + 22*a**2 - 77*a**2 + j*a**2 = 0.
0
Let g(j) be the first derivative of 4/27*j**3 - 85 - 4/45*j**5 + 0*j**4 + 1/27*j**6 - 1/9*j**2 + 0*j. Factor g(r).
2*r*(r - 1)**3*(r + 1)/9
Let b(f) be the third derivative of -f**5/15 - f**4 + 320*f**3/3 + f**2 - 283*f + 2. Suppose b(g) = 0. Calculate g.
-16, 10
Let g = 32 + -26. Suppose -g = 3*d, 