+ 2)
Let r(d) = d**3 + 238*d**2 - 490*d - 2396. Let y be r(-240). Suppose 1/4*s + 0 + 1/8*s**2 - 1/4*s**3 - 1/8*s**y = 0. What is s?
-2, -1, 0, 1
Let b(p) be the second derivative of p**5/20 + p**4/4 + 5*p + 22. Let q(c) = -c**3 - 4*c**2. Let l be 3 + 2 + (-3)/1. Let x(a) = l*q(a) + 3*b(a). Factor x(w).
w**2*(w + 1)
Let i(p) be the third derivative of 16*p**3 + 1/90*p**5 + 0 + 2/3*p**4 + 76*p**2 + 0*p. Suppose i(f) = 0. Calculate f.
-12
Suppose 55*l + 1935 = 12*l. Let v be (-68)/(-70) + 18/l. Solve -v + 12/7*t - 12/7*t**2 + 4/7*t**3 = 0 for t.
1
Let o(w) be the second derivative of w**6/135 - 7*w**5/30 + 19*w**4/18 - 55*w**3/27 + 2*w**2 + 166*w + 3. Factor o(k).
2*(k - 18)*(k - 1)**3/9
Factor 2/5*b**2 - 298/5 + 296/5*b.
2*(b - 1)*(b + 149)/5
Let b(m) = 9*m**2 - 16*m - 48. Suppose -2*l - 13 + 7 = 0. Let z(c) = 5*c**2 - 8*c - 24. Let k(g) = l*b(g) + 5*z(g). Factor k(q).
-2*(q - 6)*(q + 2)
Suppose 3*l + 83 = 5*a, 2187*l - 2184*l - 88 = -4*a. Factor 8/5*b**5 + 0 - 66/5*b**l + 0*b + 16/5*b**3 + 0*b**2.
2*b**3*(b - 8)*(4*b - 1)/5
Let a = 60/1331 - -5144/3993. Let f(t) be the third derivative of -2*t**2 + a*t**3 + t**4 + 1/6*t**5 + 0*t + 0. Determine v, given that f(v) = 0.
-2, -2/5
Let h = 179 + -175. What is f in -6*f**3 - 6*f**3 - 12*f**h + 44*f**2 - 48*f**2 - 4*f**5 = 0?
-1, 0
Let s(v) be the third derivative of 0*v + 15/8*v**4 + 1/20*v**5 - 52*v**2 + 0 + 22*v**3. Factor s(f).
3*(f + 4)*(f + 11)
Factor 259/4*l - 131/2*l**2 + 3/4.
-(l - 1)*(262*l + 3)/4
Let i(v) be the first derivative of 91 + 4/9*v - 5/18*v**2 + 1/27*v**3. Suppose i(t) = 0. Calculate t.
1, 4
Let x(a) be the second derivative of 4*a**6/3 - 193*a**5/15 + 895*a**4/27 - 352*a**3/9 + 24*a**2 - 1400*a. Suppose x(m) = 0. What is m?
3/5, 2/3, 9/2
Suppose -33 = 287*s - 290*s - 3*g, 5*s - g - 1 = 0. Solve -7/2*k + 1/2 - 5/2*k**3 + 11/2*k**s = 0 for k.
1/5, 1
Let x = -17193 + 17202. Let y(a) be the first derivative of -x*a + 3*a**3 + 3/4*a**4 - 3/2*a**2 + 3. Factor y(g).
3*(g - 1)*(g + 1)*(g + 3)
Solve 225*m + 2*m**3 + 381*m - 608*m**2 - 4*m**3 + 4*m**3 = 0.
0, 1, 303
Let g(n) be the second derivative of n**9/16632 + n**8/4620 + n**7/4620 - n**3/2 - 15*n**2/2 - 31*n + 2. Let h(o) be the second derivative of g(o). Factor h(m).
2*m**3*(m + 1)**2/11
Let t(c) be the second derivative of -16875*c**4/4 - 75*c**3/2 - c**2/8 + 2150*c - 1. Solve t(p) = 0 for p.
-1/450
Factor 192/5 + 56/5*x + 2/5*x**2.
2*(x + 4)*(x + 24)/5
Let 0 + 3*j**4 + 9/2*j**2 - 6*j + 27/2*j**3 = 0. What is j?
-4, -1, 0, 1/2
Let m be (-3)/(-147)*6/45. Let x(f) be the third derivative of 0*f**3 + 1/21*f**6 + 5*f**2 - 5/21*f**5 + 0 + 0*f + 0*f**4 - m*f**7. Let x(s) = 0. What is s?
0, 5
Let y(j) be the third derivative of j**6/40 + j**5/4 - 9*j**4/8 - 45*j**3/2 - 2*j**2 + 2*j + 277. What is f in y(f) = 0?
-5, -3, 3
Let h(c) be the second derivative of -c**5/10 + 175*c**4/6 + 353*c**3/3 + 177*c**2 + 5812*c. What is o in h(o) = 0?
-1, 177
Let c(u) be the third derivative of -u**6/600 - 3*u**5/50 + 8*u**4/5 - 208*u**3/15 - u**2 + 519. Factor c(i).
-(i - 4)**2*(i + 26)/5
Let o(v) be the first derivative of v**4/8 - 4*v**3/3 + 5*v**2 - 8*v + 3707. Find k such that o(k) = 0.
2, 4
Suppose -9*p - 11 + 3 + 8 = 0. Let b(k) be the second derivative of -7/12*k**4 + k**2 + 5/6*k**3 - 16*k + p. Find m such that b(m) = 0.
-2/7, 1
Find c such that 39/4*c - 45/2 + 3/4*c**2 = 0.
-15, 2
Suppose -5 = x, 937*t = 952*t - 4*x - 50. Let 2/5*l**t + 10*l + 0 = 0. Calculate l.
-25, 0
Let n(a) be the second derivative of -a**6/30 + 9*a**5/10 + 5*a**4 + 31*a**3/3 + 21*a**2/2 - 30*a + 42. Factor n(b).
-(b - 21)*(b + 1)**3
Let o = 51 - 71. Let d = 40 + o. What is y in -25*y**2 - 12*y**3 + d*y**3 - 20*y - 3*y**3 - 10*y**3 = 0?
-4, -1, 0
Let b = 22/7369 + 154639/36845. Solve 3/5*u**2 - b - 18/5*u = 0 for u.
-1, 7
Suppose 220*f + 115 = 115. Suppose 3/5*c**3 + f*c + 0 - 21/5*c**2 = 0. Calculate c.
0, 7
Factor 9922/13*g**4 - 2642/13*g**2 + 256/13*g + 7810/13*g**3 + 2662/13*g**5 - 8/13.
2*(g + 2)**2*(11*g - 1)**3/13
Let f(b) be the second derivative of b**4/18 - b**3 - 220*b**2/3 + 1083*b. Solve f(z) = 0.
-11, 20
Let d(w) be the first derivative of w**3/2 + 627*w**2/4 - 633*w - 3168. Factor d(t).
3*(t - 2)*(t + 211)/2
Let j(f) be the third derivative of -37*f**7/168 - 75*f**6/32 - 77*f**5/8 - 415*f**4/24 - 5*f**3 + 627*f**2. Factor j(v).
-5*(v + 2)**3*(37*v + 3)/4
Let r(p) be the third derivative of 0*p - 17/30*p**5 - 1/336*p**8 - 4/105*p**7 - p**3 + 0 - 1/5*p**6 + 208*p**2 - 23/24*p**4. Factor r(h).
-(h + 1)**3*(h + 2)*(h + 3)
Factor 116/3 + 176/9*u + 1/9*u**2.
(u + 2)*(u + 174)/9
Let i(q) be the third derivative of q**6/60 - 49*q**5/15 + 2585*q**4/12 - 8836*q**3/3 - 611*q**2 - 1. Let i(h) = 0. What is h?
4, 47
Let i(b) = 13*b**3 - 2*b**2 + b. Suppose h + 4*h - 5 = 0. Let p be i(h). Factor 6*f - 15*f**3 - 12 - f + 10*f**4 + p.
5*f*(f - 1)**2*(2*f + 1)
Let w = -54 - -11. Let r be (-4)/2 - (w - -38). Solve -2/13*g - 2/13*g**4 + 0 + 2/13*g**2 + 2/13*g**r = 0.
-1, 0, 1
Let d be 1*31/465*5. Factor d*y - 4/9 + 1/9*y**2.
(y - 1)*(y + 4)/9
Factor -24*p**2 + 645*p + 181*p**2 - 2500 - 162*p**2.
-5*(p - 125)*(p - 4)
Let p be (-52)/(-39)*(-144)/(-64). Let n(j) be the first derivative of 0*j + 0*j**2 - 1/32*j**4 - 1/24*j**p - 4. Factor n(b).
-b**2*(b + 1)/8
Let l(t) = 98*t - 191. Let u be l(2). Let a(c) be the first derivative of 10 + 16/3*c**3 - 16*c**2 + 0*c - 4/5*c**u + 2*c**4. Suppose a(g) = 0. What is g?
-2, 0, 2
Suppose 0 + 464/7*u**2 - 4/7*u**3 + 468/7*u = 0. Calculate u.
-1, 0, 117
Let i(a) be the first derivative of -a**5 + 205*a**4/2 + 13040. Solve i(l) = 0 for l.
0, 82
What is m in 5*m**3 + 3694*m**2 - 1577*m**2 + 1407*m**2 + 756*m**2 - 215*m**2 = 0?
-813, 0
Let q(x) be the third derivative of -1/200*x**6 - 4/25*x**5 + 0 + 0*x - 64/5*x**3 - 2*x**4 + 41*x**2. Suppose q(h) = 0. Calculate h.
-8, -4
Let b = -1173 - -1180. Let j be (-4 + b)*(-4)/(-30). Let 0*o + j - 2/5*o**2 = 0. What is o?
-1, 1
Let j = -436480 + 2182886/5. Factor -2916/5 + 1/10*y**3 + j*y - 27/5*y**2.
(y - 18)**3/10
Let k = -478548 + 478553. Let -8/3*b**4 + b**k + 0 + 7/3*b**3 + 0*b - 2/3*b**2 = 0. Calculate b.
0, 2/3, 1
Suppose -52*f**4 - 92*f**2 + 142*f**3 + 6*f**5 - 33*f**5 + 10*f**5 + 19*f**5 = 0. Calculate f.
0, 1, 2, 23
Let x(f) be the second derivative of -f**4/4 + 9*f**3/2 + 15*f**2 + 1374*f. Factor x(m).
-3*(m - 10)*(m + 1)
Let k(l) = -l**3 - 17*l**2 - 72*l + 7. Let g be k(-8). Let d(y) be the first derivative of -5/9*y**2 + 2/27*y**3 + 0*y - g. Suppose d(n) = 0. What is n?
0, 5
Let p(n) = 693*n - 59596. Let i be p(86). Suppose 16/3*j**3 - 2/3*j + 4/3*j**5 + j**i + 5*j**4 + 0 = 0. What is j?
-2, -1, 0, 1/4
Solve 2*v**2 - 388*v + 966 - 846 + 510*v = 0.
-60, -1
Determine x, given that -127/2*x**3 - 224*x - 98 - 1/2*x**5 - 19/2*x**4 - 361/2*x**2 = 0.
-7, -2, -1
Let n(g) = -g**3 - g**2 - 1. Let b be n(-2). Suppose 72*v = 36*v + 108. Find j, given that 3*j**4 + b*j - j**3 + 0*j - 3*j**2 - 4*j**v + 2*j**3 = 0.
-1, 0, 1
Let p(n) be the first derivative of 200 + 0*n + 9*n**3 - 3/4*n**4 - 30*n**2. Let p(t) = 0. What is t?
0, 4, 5
Let t(r) = 8*r**4 - 38*r**3 - 78*r**2 - 70*r - 14. Let a(b) = -6*b**4 + 37*b**3 + 77*b**2 + 69*b + 15. Let i(m) = -6*a(m) - 5*t(m). Factor i(c).
-4*(c + 1)**3*(c + 5)
Let j(t) be the first derivative of -t**3/7 + 60*t**2 - 8400*t + 1241. Determine i so that j(i) = 0.
140
Factor -32/3*o**3 + 61/3*o**2 - 10*o + 0 + 1/3*o**4.
o*(o - 30)*(o - 1)**2/3
Suppose 15 = -7*j + 10*j - 5*x, 5*x = -j - 15. Let r(p) = p**2 + 6*p - 51. Let h be r(5). Factor -2/13*g**2 + j + 6/13*g**h - 4/13*g + 8/13*g**3.
2*g*(g + 1)**2*(3*g - 2)/13
Let z(c) be the first derivative of 45/4*c**2 - 49 + 2*c**3 + 1/8*c**4 + 25*c. Find f such that z(f) = 0.
-5, -2
Let v(i) be the third derivative of -i**5/20 - 49*i**4 + 393*i**3/2 - 2*i**2 + 1534. What is j in v(j) = 0?
-393, 1
Let v be (-368)/(-96) + 10/(-12). Suppose -2*a + 3 = 8*r - 9*r, 2*r + 2 = v*a. Factor 0*c**3 + 4/11*c**a - 4/11*c**2 - 2/11*c + 2/11*c**5 + 0.
2*c*(c - 1)*(c + 1)**3/11
Let k = 7 - 3. Suppose -9*q - 36 = -15*q. What is x in -35*x**4 + 38*x**k + q*x + 0 + 15*x**2 + 0 + 12*x**3 = 0?
-2, -1, 0
Suppose 5*q = -5*v + 15310, 13*v - 16*v + 15306 = 5*q. Let 15*a - 5*a**3 - 90*a - a**3 - 45*a**2 + 3185 - q + a**3 = 0. What is a?
-5, 1
Factor -22*z