*b**8/252 + 74*b**7/63 - 208*b**6/45 + 256*b**5/45 - 18*b**2 - 3*b. Let u(v) = 0. Calculate v.
0, 1, 16/5
Let q(c) = -819*c**2 + 47043*c - 46844. Let v(b) = 53*b**2 - 3136*b + 3123. Let z(j) = -2*q(j) - 31*v(j). Factor z(y).
-5*(y - 625)*(y - 1)
Suppose 0 = -18*d + 60*d - 26*d - 1600. Let y(h) be the first derivative of -d*h - 22 - 20*h**2 - 4/3*h**3. Solve y(u) = 0 for u.
-5
Let r(t) = -19*t**2 + 2*t + 51. Let m(s) = s**2 - 7. Let g(j) = 5*m(j) + r(j). Let g(i) = 0. What is i?
-1, 8/7
Let o(k) be the first derivative of -k**5/30 - 3*k**4/8 - 5*k**3/9 + 3*k**2 + 28*k/3 - 2898. Determine r, given that o(r) = 0.
-7, -2, 2
Let c(s) be the third derivative of -1/21*s**4 - 1/735*s**7 + 0*s + 1/105*s**6 - 2*s**2 + 6 - 1/70*s**5 + 4/21*s**3. Determine j so that c(j) = 0.
-1, 1, 2
Let s = 67133 + -67128. Factor 0 + 0*i**4 + 4/7*i**2 + 2/7*i**s + 0*i - 6/7*i**3.
2*i**2*(i - 1)**2*(i + 2)/7
Let w(s) = -3417*s - 44421. Let h be w(-13). Factor h - 2*u**3 + 1/2*u**4 - u + 5/2*u**2.
u*(u - 2)*(u - 1)**2/2
Let n(t) be the second derivative of t**4/78 + 44*t**3/39 - 141*t**2/13 + 653*t. Factor n(d).
2*(d - 3)*(d + 47)/13
Suppose -1804*j - 1322*j**2 - 5*j**3 - 653*j**2 + 3 - 3 - 166*j = 0. Calculate j.
-394, -1, 0
Suppose -13590*m + 13585*m = w + 14, 3*m = w + 14. Factor -37/2*z**2 + m - 9/2*z - 20*z**3 - 2*z**4.
-z*(z + 9)*(2*z + 1)**2/2
Suppose 6*b - 307 = -146 - 149. Let a(k) be the second derivative of 0*k**b + 1/2*k**4 - 17*k + 1/20*k**5 + 5/6*k**3 + 0. Solve a(m) = 0.
-5, -1, 0
Let t = -566 - -583. Find d such that -5*d**3 - t*d**4 + 12*d**4 - 7 + 30*d**2 - 33 + 20*d = 0.
-2, 1, 2
Let q be (-15)/(-6)*(-16)/(-10). Suppose 0*c = q*c - 12. What is s in -8 + 32*s**2 + 15*s**3 + 4*s - 3*s**3 + 0*s + 8*s**c = 0?
-1, 2/5
Let o be (60/25 - 2) + -264. Let c = -262 - o. Factor -4/5*m**2 + 2/15*m**3 + c*m - 16/15.
2*(m - 2)**3/15
Let r(o) = o**2 + 11*o - 87. Let v be r(7). Suppose 42 = 53*j - v*j. Factor -3/7*n**j + 0 + 6/7*n - 3/7*n**2.
-3*n*(n - 1)*(n + 2)/7
Let v = -43 + 47. Suppose -10 - 22 = -v*t. Factor 22*z**2 - t*z**3 + 16*z + 0*z**3 + 6*z**2 + 0*z**2.
-4*z*(z - 4)*(2*z + 1)
Let f(w) be the third derivative of -w**6/24 - 91*w**5/12 + 115*w**4/6 + 74*w**2 + 1. Factor f(d).
-5*d*(d - 1)*(d + 92)
Let n(m) be the first derivative of -9 + 3/10*m**6 + m**3 - 39*m - 3/5*m**5 - 1/4*m**4 + 0*m**2. Let c(y) be the first derivative of n(y). Factor c(s).
3*s*(s - 1)**2*(3*s + 2)
Factor -255*b**3 - 24435/2*b**2 - 5/4*b**4 - 496125/4 + 80325*b.
-5*(b - 3)**2*(b + 105)**2/4
Let n(f) = -7*f**2 + 62*f + 142. Let q(d) = 22*d**2 - 341 - 86 - 249*d + 62*d. Let u(m) = 7*n(m) + 2*q(m). Solve u(p) = 0.
-2, 14
Let r(u) be the third derivative of u**7/70 - 17*u**6/100 - 13*u**5/100 + 21*u**4/20 + 1179*u**2 - 2*u + 1. Suppose r(h) = 0. Calculate h.
-6/5, 0, 1, 7
Let s be 970/525 + 374/(-2805). Factor 4/7*a**4 + 0 + 4*a**2 - s*a - 20/7*a**3.
4*a*(a - 3)*(a - 1)**2/7
Let a(o) be the first derivative of -o**4/3 + 173*o**3/9 - 1667*o**2/6 + 406*o/3 - 58. Factor a(r).
-(r - 29)*(r - 14)*(4*r - 1)/3
Let c(t) = t**3 + 4*t**2 - 3*t. Let b be c(2). Let v be b/27 + 18138/9. Factor -v*k - 6*k**2 + k**3 + k**2 + 2*k**2 + 2018*k.
k*(k - 2)*(k - 1)
Let k(o) be the third derivative of -5*o**8/4032 - o**7/504 - o**6/720 - o**5/60 + 10*o**3 + 4*o**2 - 7. Let w(z) be the third derivative of k(z). Factor w(v).
-(5*v + 1)**2
Let 525/4 + 285/4*q + 51/4*q**2 + 3/4*q**3 = 0. What is q?
-7, -5
Let a(x) be the third derivative of 0*x**4 - 2/7*x**7 + 0*x**3 + 183*x**2 + 1/2*x**5 + 0 + 0*x - 25/336*x**8 + 11/24*x**6. Suppose a(p) = 0. Calculate p.
-3, -2/5, 0, 1
Suppose -41*w + 48*w - 28 = 0. Solve -8*j**w - 6*j**4 + 27*j**4 - 17*j**4 + 40*j**3 = 0 for j.
0, 10
Factor -5745*m**3 + 113064427*m + 2866*m**3 - 40092*m**2 - 149172723284 + 20882945*m + 2883*m**3.
4*(m - 3341)**3
Let k = -29173 + 29175. Let p(i) be the first derivative of 10*i + 23 - 6*i**k + 2/3*i**3. Find g such that p(g) = 0.
1, 5
Suppose 2 = 10*m - 178. Suppose -71*f + 65*f = -m. Suppose -3/5*j**4 + 0 - 21/5*j**2 + 3*j**f + 9/5*j = 0. Calculate j.
0, 1, 3
Let z(r) be the first derivative of -25/3*r**3 - 2/3*r**6 + 19/5*r**5 + 19/2*r**2 - 15/4*r**4 - 93 + 6*r. Find m, given that z(m) = 0.
-1, -1/4, 1, 2, 3
Let x(j) be the first derivative of -7/33*j**3 - 6 - 2*j + 2/11*j**2 - 3/22*j**4. Let r(w) be the first derivative of x(w). Factor r(f).
-2*(f + 1)*(9*f - 2)/11
Let z be (3/(-5))/(14/(-280)) - 9. Let t(v) be the first derivative of -36 - 3/16*v**2 + 1/4*v + 1/24*v**z. Solve t(a) = 0.
1, 2
Let s be (-14)/(-4) + 7/(-14). Suppose -4*b + 2*h = -6, s*h + 1 + 5 = 5*b. Determine u so that u**2 + 3*u**2 - 4*u**b - 5*u**3 + 8*u**3 = 0.
0, 4
Let j(g) be the third derivative of 2*g + 1/300*g**5 + 0 + 2/5*g**3 - 12*g**2 - 7/120*g**4. Factor j(b).
(b - 4)*(b - 3)/5
Determine s, given that 346*s + 198*s**2 + 150*s + 324*s + 4*s**3 + 626*s**2 = 0.
-205, -1, 0
Let s(d) be the first derivative of -4*d**3/3 + 78*d**2 - 792*d - 1391. Factor s(x).
-4*(x - 33)*(x - 6)
Determine w, given that 729147/5 + 3/5*w**2 - 2958/5*w = 0.
493
Factor -162/13 - 30/13*k**2 - 126/13*k - 2/13*k**3.
-2*(k + 3)**2*(k + 9)/13
Let s(o) be the first derivative of 3/2*o**4 + 4*o - 2*o**2 + 9/5*o**5 - 11/3*o**3 - 58. Let s(d) = 0. What is d?
-1, 2/3
Solve -1/4*m**2 + 35 + 23/4*m = 0.
-5, 28
Suppose 3*c = 3 + 3. Suppose 60 = s - 4*v, -2*s + 5*v = c*s - 196. Factor 49*m**5 + 9*m**4 - 5*m - s*m**5 - 10*m**2 - 6*m**4 + 7*m**4.
5*m*(m - 1)*(m + 1)**3
Factor -24*k**3 - 295*k**4 - 23*k**3 - 22*k**3 + 2375*k + 99*k**3 - 672*k**2 + 2482*k**2 - 5*k**5 + 885.
-5*(k - 3)*(k + 1)**3*(k + 59)
Let o(s) be the first derivative of s**3/24 + 7*s**2/8 - 15*s/8 + 6467. Let o(z) = 0. Calculate z.
-15, 1
Solve -378*g - 648/5 - 216/5*g**4 - 12/5*g**5 - 1023/5*g**3 - 2061/5*g**2 = 0.
-12, -2, -3/2, -1
Let s = -396933/8 - -49617. Find w, given that 0*w + s*w**3 - 3/8*w**2 + 0 = 0.
0, 1
Let o(p) = p + 18. Let x be o(-14). Suppose -6*n = -3*q - x*n + 6, -3*q - 3*n = -6. Determine l, given that 83 - 80 - 2*l - 2*l**2 - 3*l**q = 0.
-1, 3/5
Let m(h) = 47*h - 3475. Let w be m(74). Let y(q) be the second derivative of 0 - w*q + 1/42*q**4 + 0*q**2 + 1/7*q**3. Factor y(g).
2*g*(g + 3)/7
Let -41*g**3 - 99*g + 121*g**3 - 132*g - 36 + 24*g**4 + 201*g + 62*g**2 = 0. What is g?
-3/2, -1, 2/3
Let j(r) be the third derivative of r**6/320 + 57*r**5/20 + 52437*r**4/64 + 51529*r**3/8 - 9*r**2 + 3*r. Let j(x) = 0. Calculate x.
-227, -2
Let m(k) = 3*k**2 + 9697*k + 2899227. Let w(i) = -20*i**2 - 63024*i - 18844976. Let p(o) = -32*m(o) - 5*w(o). Factor p(l).
4*(l + 602)**2
Let l(m) be the third derivative of -m**5/420 + 11*m**4/12 - 847*m**3/6 + 7*m**2 + 3*m - 27. Factor l(g).
-(g - 77)**2/7
Let q(w) = 6*w**2 - 743*w - 7170. Let r be q(-9). Factor 0*x + 0 - 10/7*x**r + 24/7*x**2 - 1/7*x**4.
-x**2*(x - 2)*(x + 12)/7
Let y be (-2)/(-4)*-34*-1 - 1 - 16. Determine d so that 1/3*d**3 + y + 4/3*d**4 - 4/3*d**2 - 1/3*d**5 + 0*d = 0.
-1, 0, 1, 4
Let n(b) be the third derivative of 0*b**3 + 0 + 1/1512*b**8 + 0*b**4 - 4/135*b**5 + 2/945*b**7 - 1/135*b**6 + 0*b + 25*b**2. Factor n(p).
2*p**2*(p - 2)*(p + 2)**2/9
Let d(f) be the third derivative of f**6/32 + 273*f**5/80 + 5*f**4 - 27*f**3/2 - 3*f**2 - 63*f. Factor d(g).
3*(g + 1)*(g + 54)*(5*g - 2)/4
Determine i so that 2304/5 - 3/5*i**2 + 2301/5*i = 0.
-1, 768
Let k be (8*(-4)/24 - -2) + 0. Let t = -4623/8 + 13885/24. Determine f, given that t - 4/3*f**3 + 2/3*f**4 - 4/3*f**2 + k*f**5 + 2/3*f = 0.
-1, 1
Let o be (-31382)/42 - (-8)/28*3. Let g = o + 747. Factor 2 - 8/3*i + g*i**2.
2*(i - 3)*(i - 1)/3
Suppose 17*k + 82*k - 33*k = -51*k + 468. Let -76/15*f**3 + 8/5*f**k - 2/15*f**5 + 16/15 - 22/5*f + 104/15*f**2 = 0. What is f?
1, 8
Let l(s) be the first derivative of -1/8*s**4 + 1/2*s**2 + 0*s + 1 - 1/6*s**3. Suppose l(o) = 0. Calculate o.
-2, 0, 1
Let o(a) be the first derivative of -12*a**3/5 + 2264*a**2/5 + 1008*a/5 + 1787. Factor o(v).
-4*(v - 126)*(9*v + 2)/5
Let u(a) be the first derivative of -21/2*a + 87/16*a**2 - 1/8*a**3 - 74. Factor u(x).
-3*(x - 28)*(x - 1)/8
Suppose 4/3*q**2 - 358/9 + 346/9*q = 0. Calculate q.
-179/6, 1
Suppose -477*l = 1361*l - 7352. Factor 2/5*y**5 - 26/5 + 106/5*y - 34/5*y**l - 164/5*y**2 + 116/5*y**3.
2*(y - 13)*(y - 1)**4/5
Let l = 18192 - 18190. Let w(n) be