Solve v(b) = 0.
-8, -4, 1
Let q be 2 + -3 + 130/22. Let t = 26022 + -286080/11. Factor 8/11*c**5 + 0 - q*c + 18*c**3 - 70/11*c**4 - t*c**2.
2*c*(c - 3)**3*(4*c + 1)/11
Let v(l) be the third derivative of -l**7/1050 - 41*l**6/600 - 7*l**5/60 + 197*l**4/120 - 4*l**3 + 336*l**2 + 2*l + 1. Factor v(s).
-(s - 1)**2*(s + 3)*(s + 40)/5
Let q be 19310/35 - 6/(-21). What is f in -564*f**3 - 20*f**2 + 1131*f**3 - q*f**3 + 5*f**4 = 0?
-4, 0, 1
Let a = -2967 - -11883/4. Let r(j) be the first derivative of 55/2*j**2 - 7 - 5*j**3 - 30*j + j**5 - a*j**4. Let r(i) = 0. Calculate i.
-2, 1, 3
Let b(c) = 2*c**3 - 3*c**2 + 6*c - 2. Let i be b(1). Suppose -i*k + 5 + 4 = 0. Factor 3/7*m**k - 3/7*m - 3/7*m**2 + 3/7.
3*(m - 1)**2*(m + 1)/7
Let r be ((-33)/(-11))/(-4*(4 - 7)). Let k(f) be the second derivative of 0 + r*f**2 + 0*f**3 - 1/24*f**4 + 9*f. Factor k(t).
-(t - 1)*(t + 1)/2
Let s(q) be the third derivative of -11*q**6/30 - 47*q**5/42 - q**4/14 - 1689*q**2. Factor s(u).
-2*u*(2*u + 3)*(77*u + 2)/7
Determine z so that -1125*z**3 - 9*z**4 - 13*z**4 + 36*z**4 + z**4 - 1128*z**2 - 12*z**4 = 0.
-1, 0, 376
Let s = -59 + 64. Suppose s*v = -p + 4 + 9, v = 2*p - 15. Factor -2*z**2 - 45*z + 26 + 29*z - p.
-2*(z - 1)*(z + 9)
Suppose 5*u = 4*a - a + 22, -a = 2*u - 11. Let l be (1 + (-3 - -3))*(a - -1). Factor -141 + l*p**3 + 141.
2*p**3
Factor -111/4*z**2 - 57/2 - 3/8*z**3 + 453/8*z.
-3*(z - 1)**2*(z + 76)/8
Suppose p + 3*a - 22 = 0, -2*a = -101 + 89. Let r(z) be the second derivative of 0*z**2 - 7/20*z**5 - 11/12*z**p + 0 - 1/30*z**6 - 27*z - 5/6*z**3. Factor r(x).
-x*(x + 1)**2*(x + 5)
Let f(l) be the third derivative of l**6/120 + 63*l**5/10 + 251*l**4/8 + 188*l**3/3 - 5285*l**2 - l. Determine n, given that f(n) = 0.
-376, -1
Suppose -2/9*g**3 - 784/9*g**2 - 788/9 + 1574/9*g = 0. Calculate g.
-394, 1
Let w(f) be the third derivative of 1/1020*f**6 - 6*f - 4/255*f**5 + 3/68*f**4 + 6/17*f**3 + 0 - 9*f**2. Let w(v) = 0. Calculate v.
-1, 3, 6
Let y be (-35)/30 + (0 - (0 + -2)*1). Let q(u) be the first derivative of -5 + 0*u - y*u**2 - 1/9*u**3. Factor q(w).
-w*(w + 5)/3
Let s(c) be the third derivative of 0 - 13*c**2 + c - 11/320*c**6 + 3/80*c**5 + 0*c**3 - 3/560*c**7 + 1/8*c**4. Find n, given that s(n) = 0.
-4, -2/3, 0, 1
Let t(f) be the first derivative of -24*f - 4/3*f**3 - 180 + 10*f**2. Factor t(u).
-4*(u - 3)*(u - 2)
Let c(v) = -2*v**2 - 2*v + 4. Let d(w) = 2*w**2 + 2*w - 4. Let u(n) = -1004*n + 1003*n + 17 + 4. Let p be u(16). Let s(m) = p*d(m) + 4*c(m). Factor s(t).
2*(t - 1)*(t + 2)
Let d(t) be the second derivative of 3*t**5/20 - 12*t**4 + 407*t**3/2 + 3411*t. Determine i so that d(i) = 0.
0, 11, 37
Let p = -2297 + 2297. Let g(s) be the first derivative of -2/15*s**3 + 8/5*s + p*s**2 + 37. Solve g(x) = 0.
-2, 2
Let t(z) be the third derivative of 3249/2*z**3 + 1/20*z**5 - 8*z + 57/4*z**4 - 4*z**2 + 0. Factor t(m).
3*(m + 57)**2
Let s(x) = -16*x - 229. Let i(a) = 3*a + 46. Let k(f) = 11*i(f) + 2*s(f). Let b be k(-9). Suppose -44*t**5 - 5*t + t**3 + 9*t**3 + b*t**5 = 0. What is t?
-1, 0, 1
Let x be 75*340/(-408) + 63. Factor 0 - 35*s**2 - x*s**3 - 1225/2*s.
-s*(s + 35)**2/2
Let n be 2 - (18/(-6) + -5 - -4). Let q be ((-12)/n)/(16/(-6) + 2). Factor 2/17*c**5 + 8/17*c**2 + 0*c - 6/17*c**4 + 0 + 0*c**q.
2*c**2*(c - 2)**2*(c + 1)/17
Let v = 126 + 436. Let d = v + -560. Find i, given that 0*i**d + 1/8*i**3 - 1/4 - 3/8*i = 0.
-1, 2
Let u(y) be the first derivative of 4*y**3/3 - 382*y**2/5 + 152*y/5 - 3519. Determine n, given that u(n) = 0.
1/5, 38
Let c(a) be the third derivative of -a**8/2520 - a**7/525 + a**6/100 - a**5/90 - 184*a**2. Factor c(o).
-2*o**2*(o - 1)**2*(o + 5)/15
Let m = 254293 - 254291. Factor 8 + 4/3*w**m - 28/3*w.
4*(w - 6)*(w - 1)/3
Suppose 0 = -5582*v + 2424*v + 15790. Factor 0 - 3/7*d**3 + 3/7*d**2 - 3/7*d**4 + 0*d + 3/7*d**v.
3*d**2*(d - 1)**2*(d + 1)/7
Suppose -75 + 694*z + z**2 + 224 - 582*z + 235 + 3*z**2 = 0. Calculate z.
-24, -4
Let r = 1618/2513 + -26/359. Let c(w) be the second derivative of 0 + 2/7*w**3 + 1/21*w**4 + r*w**2 - 7*w. Let c(k) = 0. What is k?
-2, -1
Let w(a) be the first derivative of -a**3/3 - 1599*a**2 - 2556801*a - 3642. Factor w(c).
-(c + 1599)**2
Suppose -5/3*z + 1/3*z**2 + 4/3 = 0. What is z?
1, 4
Let k(m) be the third derivative of -m**8/1008 + 2*m**7/315 + 13*m**6/120 + 29*m**5/90 - 7*m**4/18 - 4*m**3 - m**2 - 15*m. Let k(v) = 0. Calculate v.
-2, 1, 9
Let a(k) = k**2 + 9*k - 43. Let l be a(-13). Factor -3 - 13*s**2 - 5*s + 12*s**2 + l.
-(s - 1)*(s + 6)
Solve -4*g + 0 + 1/2*g**3 + g**2 = 0.
-4, 0, 2
Let p = -1344 + 6724/5. Determine b, given that -1/10*b**2 - p*b - 7/10 = 0.
-7, -1
Let w(f) = 136*f**2 + 275*f + 8. Let c be w(-2). Factor 1/6*i**c + 242/3 - 22/3*i.
(i - 22)**2/6
Let l(c) be the second derivative of -33 + c**2 + 1/18*c**3 - 5/18*c**4 + 2*c + 1/20*c**5. Factor l(a).
(a - 3)*(a - 1)*(3*a + 2)/3
Let c(t) be the first derivative of 21*t**5/5 + 867*t**4/4 - 1829*t**3 + 7245*t**2/2 + 2538*t - 3337. Find w such that c(w) = 0.
-47, -2/7, 3
Let b be (10/13)/((-1263)/(-27365)). Factor b + 20/3*k + 2/3*k**2.
2*(k + 5)**2/3
Let b(j) = 43*j + 174. Let n be b(-4). Let h(w) be the third derivative of 0 + 3/14*w**3 + 1/140*w**5 - 1/14*w**4 - 14*w**n + 0*w. Factor h(c).
3*(c - 3)*(c - 1)/7
Suppose -73 = -3*x + n + 114, -3*x + 191 = n. Suppose 8*v = x - 15. Factor 4*l + 24*l**2 - 22*l**3 + 0*l - v*l**3 + 0*l.
-4*l*(l - 1)*(7*l + 1)
Factor 2204/11*v**2 + 2/11*v**3 + 607202/11*v + 0.
2*v*(v + 551)**2/11
Suppose 2266*m - 2262*m = 4*z + 92, 0 = 4*m + 4*z + 60. Suppose 2*p**3 + 1/4*p**4 + 0*p + m*p**2 + 0 = 0. Calculate p.
-4, 0
Let g(h) be the first derivative of -26 + 1/210*h**5 + 37/2*h**2 + 0*h + 25/21*h**3 - 5/42*h**4. Let w(q) be the second derivative of g(q). Factor w(u).
2*(u - 5)**2/7
Let d(p) = -5*p**3 - 17*p**2 - 27*p + 61. Let v(q) = -14*q**3 - 50*q**2 - 83*q + 180. Let k(x) = 11*d(x) - 4*v(x). Suppose k(b) = 0. Calculate b.
-7, 1
Suppose 20*j - 157 = 263. Suppose -j*d + 18 = -18*d - 3*i, 0 = -2*d - 2*i - 4. Determine r, given that 2/5*r**d + 8/5*r + 6/5 = 0.
-3, -1
Let b = 344 - 340. Suppose -19*d**3 + 36*d + 0*d**4 - 5*d**4 - b*d**4 + 51*d**5 - 32 - 50*d**5 + 20*d**2 + 3*d**4 = 0. Calculate d.
-2, 1, 8
Let c(v) be the first derivative of -v**5/20 - v**4/8 + v**3 - 5*v**2/2 - 2*v - 8. Let m(x) be the second derivative of c(x). Suppose m(t) = 0. Calculate t.
-2, 1
Let d be 4*13/(-182) - 93/(-7). Let w be (828/(-63) + d)/(2/(-6)). Factor -w*x**2 - 3/7*x**5 - 9/7*x**4 + 0 + 0*x - 9/7*x**3.
-3*x**2*(x + 1)**3/7
Let 11*v - 178 + 134*v**2 - 512*v**3 + 510*v**3 - 9*v + 44*v**2 = 0. Calculate v.
-1, 1, 89
Factor -33/5*c**2 - 171/5*c - 6.
-3*(c + 5)*(11*c + 2)/5
Let n(s) be the first derivative of -s**8/16 - s**7/14 + s**6/20 + 77*s**2/2 + 44. Let w(g) be the second derivative of n(g). Factor w(f).
-3*f**3*(f + 1)*(7*f - 2)
Let s(r) = 0*r - r - 1 + 2 - 3 + 1. Let a(i) = i**3 + 4*i**2 - 3*i - 6. Let b(x) = -a(x) + 2*s(x). Suppose b(k) = 0. What is k?
-4, -1, 1
Let p(l) = -9*l**2 + 5603*l - 3914395. Let u(b) = -5*b**2 + 2802*b - 1957197. Let t(j) = -4*p(j) + 7*u(j). Suppose t(v) = 0. Calculate v.
1399
Suppose 24 + 24 = 4*v. Let s(p) = 1. Let y(u) = u**2 + 5*u - 4. Let q be 8/3 - 3*(-5)/45. Let m(g) = q*y(g) + v*s(g). Determine x so that m(x) = 0.
-5, 0
Let a(k) be the first derivative of 2/9*k**3 + 1/9*k**2 - 1/18*k**4 + 63 - 2/3*k. Factor a(j).
-2*(j - 3)*(j - 1)*(j + 1)/9
Let w(l) = -2*l**3 - l**2 - 6*l + 6. Let x(f) = -3*f**3 + 208*f**2 + 204*f + 6. Let p(i) = w(i) - x(i). Factor p(m).
m*(m - 210)*(m + 1)
Let g be 8/6*15/10. Let l be (-234)/12 - 69972/(-3528). What is s in -l*s**g - 7/3 - 8/3*s = 0?
-7, -1
Let j(d) be the first derivative of d**3/21 + 3*d**2/14 - 18*d/7 - 813. Find g such that j(g) = 0.
-6, 3
Let f(p) be the second derivative of 2/3*p**4 + 2*p**3 + 0*p**2 + 2/21*p**7 - 4/15*p**6 + 4 - 4/5*p**5 + 8*p. Factor f(n).
4*n*(n - 3)*(n - 1)*(n + 1)**2
Let q = 4871 - 4865. Let t(f) be the third derivative of 1/420*f**q - 15*f**2 + 1/210*f**5 - 1/84*f**4 + 0 - 1/21*f**3 + 0*f. Factor t(g).
2*(g - 1)*(g + 1)**2/7
Let l(f) be the third derivative of -f**5/270 - 85*f**4/18 + 1024*f**3/27 - 3*f**2 - 332*f. Determine b, given that l(b) = 0.
-512, 2
Let z(s) be the second derivative of -s**6/6 - 5*s**5 + 80*s**4/3 + 11