Let n be u(10). Suppose -3*s - x = -n*s + 14, -s - 3*x - 10 = 0. Factor 8/11*w - 2/11*w**s + 0.
-2*w*(w - 4)/11
Let g(o) be the third derivative of 0*o - 2/35*o**5 - 41*o**2 + 1/140*o**6 - 2/7*o**3 + 5/28*o**4 + 0. Find x, given that g(x) = 0.
1, 2
Let v(b) be the second derivative of 3*b**5/140 + 263*b**4/28 + 2489*b**3/2 + 51483*b**2/14 - 184*b + 1. Factor v(n).
3*(n + 1)*(n + 131)**2/7
Suppose 12*z = 86*z + 87*z. Factor z + 3*i**3 + 0*i + 0*i**2 - 3/5*i**4.
-3*i**3*(i - 5)/5
Suppose -5*l = 4*a - 218 + 256, -5*a - 56 = 2*l. Find c, given that -4/17*c**l + 2/17*c**4 - 8/17*c**3 + 18/17 + 24/17*c = 0.
-1, 3
Suppose 5*g = 4*p + 70, g - 45 = -3*g + p. Let i be 14 - g - 2/1. Find x such that -35*x**3 - 85*x**i + 25*x - 5*x**4 - 47*x - 63*x - 30 = 0.
-3, -2, -1
Let m(r) be the first derivative of 1/33*r**3 + 9 + 0*r**4 + 0*r - 1/330*r**5 + 21/2*r**2. Let b(a) be the second derivative of m(a). Factor b(q).
-2*(q - 1)*(q + 1)/11
Let h be -3*(2 + (-2)/2) + -3. Let l be (h - 0) + (-13 + 8 - -13). Find u such that 0*u + 2/7 - 2/7*u**l = 0.
-1, 1
Let f be ((-4)/14)/(15/(-105)). Let p be f/(-4)*-10 + (2 - 3). Determine v so that -v**3 - 47*v**4 - 46*v**4 + 108 + 9*v**3 - 48*v**2 + 97*v**p - 72*v = 0.
-3, 1, 3
Let m be -3 - (-8)/(-4) - -9. Factor -24*y**2 + 19*y**m + 3*y**5 + 8*y**4 - 12*y**3 - 21*y**4.
3*y**2*(y - 2)*(y + 2)**2
Suppose -128643*m**3 - 17*m**2 + 784 - 44*m**2 + 266*m + 128644*m**3 = 0. What is m?
-2, 7, 56
Let d(l) be the second derivative of l**6/1620 + 17*l**5/540 - l**4/6 + 27*l**3/2 + 10*l. Let u(s) be the second derivative of d(s). Factor u(i).
2*(i - 1)*(i + 18)/9
Let l(y) be the second derivative of 3*y - 1/12*y**4 - 3/40*y**5 + 5/8*y**2 - 3 + 1/4*y**3 - 1/120*y**6. Factor l(n).
-(n - 1)*(n + 1)**2*(n + 5)/4
Let j(c) be the first derivative of -c**4/22 + 12*c**3/11 + 39*c**2/11 + 40*c/11 + 113. Determine s so that j(s) = 0.
-1, 20
Let x(a) = a**3 + 40*a**2 - 437*a + 198. Let j be x(-49). Let n be 1/(1 - 16/20). Determine l, given that 5*l + 5/4*l**j + n = 0.
-2
Factor -1/2*k**3 + 0 + 19/2*k**2 + 0*k.
-k**2*(k - 19)/2
Factor -1059*n - 1191*n + 510*n - 624 + 5*n**2 + 2442 + 3357.
5*(n - 345)*(n - 3)
Let i be ((-3666)/(-2444))/((-3)/(-4)). Factor 4/5*r - 1/5*r**i + 1.
-(r - 5)*(r + 1)/5
Let d = 94/605 - -3994/5445. Factor -10/3*h**2 - d + 26/9*h + 14/9*h**3 - 2/9*h**4.
-2*(h - 4)*(h - 1)**3/9
Let 2/3*q + 2/3*q**3 - 4/3*q**2 + 0 = 0. What is q?
0, 1
Let k be 2 + (-58)/276*(-195)/(-130). Let r = 56/23 - k. Factor -3*i**4 - r*i + 7/2*i**2 - 1/2 - i**3 + 7/4*i**5.
(i - 1)**3*(i + 1)*(7*i + 2)/4
Let s(x) = x**3 - x**2 + 7*x. Let n(v) = 5*v**5 + 735*v**4 + 1458*v**3 + 722*v**2 + 21*v. Let j(q) = n(q) - 3*s(q). Find h such that j(h) = 0.
-145, -1, 0
Suppose 0 - 111/2*q**2 + 0*q + 1/2*q**3 = 0. What is q?
0, 111
Let s = 45102 - 405904/9. Factor -4*g**2 - 16/9 - 40/9*g - 2/9*g**4 - s*g**3.
-2*(g + 1)*(g + 2)**3/9
Let v(p) = -p**2 - 6*p - 11. Let g(b) be the third derivative of b**5/60 + b**3/6 - 18*b**2. Let j(c) = 6*g(c) + 2*v(c). Factor j(s).
4*(s - 4)*(s + 1)
Let o(v) = v**2 + 79*v - 501. Let q(n) = 84*n - 498. Let r(f) = -4*o(f) + 6*q(f). Determine z, given that r(z) = 0.
6, 41
Let t(j) be the second derivative of -j**6/10 - 27*j**5/10 + 121*j**4/4 + 69*j**3 + 6270*j. Factor t(g).
-3*g*(g - 6)*(g + 1)*(g + 23)
Let h = -865438/9 + 96160. Factor -10/3 + 28/9*w + h*w**2.
2*(w - 1)*(w + 15)/9
Let z be 54*(-459)/252*6. Let i = z + 591. Factor -24/7 + i*u**2 + 0*u.
6*(u - 2)*(u + 2)/7
Let t(j) be the third derivative of -j**6/1260 + 5*j**5/42 - 625*j**4/84 - j**3/3 + 4*j**2 - 5. Let s(v) be the first derivative of t(v). Solve s(h) = 0.
25
Let d(w) be the first derivative of -2*w**6/3 + 460*w**5 - 132250*w**4 + 60835000*w**3/3 - 1749006250*w**2 + 80454287500*w + 1544. Factor d(z).
-4*(z - 115)**5
Let z(c) be the second derivative of -c**4/90 + 53*c**3/45 + 18*c**2/5 + 1770*c. Factor z(v).
-2*(v - 54)*(v + 1)/15
Suppose 9*d - 27 + 9 = 0. Factor 5*g**d - 17*g - 195*g + 9245 - 218*g.
5*(g - 43)**2
Let y(f) be the second derivative of -f**6/960 + 23*f**5/160 - 529*f**4/64 - 23*f**3/6 + 58*f. Let s(m) be the second derivative of y(m). Factor s(q).
-3*(q - 23)**2/8
Factor -4/3*x**4 + 0 - 15264*x**2 + 860/3*x**3 - 15552*x.
-4*x*(x - 108)**2*(x + 1)/3
Let p(d) be the second derivative of -d**6/105 - 31*d**5/35 - 30*d**4 - 2808*d**3/7 - 22*d - 65. Let p(k) = 0. What is k?
-26, -18, 0
Let k(z) be the third derivative of -z**7/105 - 29*z**6/60 + 79*z**5/10 - 177*z**4/4 + 108*z**3 - 7*z**2 + 113. Solve k(y) = 0.
-36, 1, 3
Let p be (-7)/(-4 - (63/(-8) - -4)). Let c = -54 + p. Determine q, given that -5 - 29*q + 5*q**c + q**3 + 14*q + 14*q = 0.
-5, -1, 1
Let i(b) be the second derivative of 0*b**2 + 1/50*b**6 + 0*b**4 - 2 - 18*b - 3/100*b**5 + 0*b**3. Factor i(w).
3*w**3*(w - 1)/5
Suppose -3*p = q - 9, 188*q - 187*q - 7 = -2*p. Let g(o) be the first derivative of -1/2*o**4 - 4/3*o**q + o**2 + 4*o + 8. Let g(b) = 0. Calculate b.
-2, -1, 1
Let d(v) be the first derivative of 0*v + 2 + 0*v**2 + 1/3*v**3. Let s(u) = -3*u**2 + 2*u. Let k(h) = 3*d(h) - s(h). Suppose k(f) = 0. Calculate f.
0, 1/3
Let -181*m**2 + 57*m**3 - 5*m**2 - 7655 - 2437 + 44*m**3 - 3219*m - 104*m**3 = 0. Calculate m.
-29, -4
Suppose 0 = 2*q - y + 39, -3*q + 23 = -y + 82. Let s be (252/35)/((-6)/q). Let 1459*z - s*z**3 - 35*z**4 - 4*z**2 - 1459*z = 0. What is z?
-2/5, -2/7, 0
Let q(n) be the third derivative of -n**5/330 + 153*n**4/22 - 70227*n**3/11 - 731*n**2 - n. Factor q(g).
-2*(g - 459)**2/11
Factor 70/9*q**2 - 32/9*q**3 - 2/9*q**4 - 4*q + 0.
-2*q*(q - 1)**2*(q + 18)/9
Suppose 11 = -78*f + 11. Let j(d) be the first derivative of 5/4*d**4 + 0*d - 5/2*d**2 + 9 + f*d**3. Let j(m) = 0. What is m?
-1, 0, 1
Find f, given that 74/7*f**2 + 32/7*f - 32/7*f**3 - 2/7*f**4 - 72/7 = 0.
-18, -1, 1, 2
Factor -a**4 + 4*a**4 + 13*a**4 - 286*a**3 - 64*a + 178*a**3 + 4*a**5 + 152*a**2.
4*a*(a - 2)*(a - 1)**2*(a + 8)
Determine l so that 189/2*l + 0 - 1/2*l**2 = 0.
0, 189
Let g(p) be the third derivative of -3/40*p**4 - 1/6*p**3 + 0 - 1/100*p**5 + 1/600*p**6 + 0*p + 51*p**2. Suppose g(x) = 0. Calculate x.
-1, 5
Let z be (-2)/(-9) + (-736)/(-414). Factor -15*h**4 + 160*h - h**2 - 110*h**3 - 96*h**z + 12*h**2 - 75*h**2.
-5*h*(h + 4)**2*(3*h - 2)
Let x = -46 + 254/5. Let r = -20353 - -101774/5. Suppose -3/5*k**5 + 12/5*k + 6/5*k**4 + 0 + r*k**3 - x*k**2 = 0. What is k?
-2, 0, 1, 2
Let l = -47 - -71. Let j be ((-7)/(-2))/(376/(-64) + 6). Factor 3*b**4 + b**4 - 10 + j*b**2 - 44*b - 84*b**2 + 4*b**5 - l*b**3 - 2.
4*(b - 3)*(b + 1)**4
Let g(z) be the first derivative of 21/4*z**4 - 54/5*z**5 + 26*z**3 - 18*z**2 - 168 + 5/2*z**6 - 24*z. Determine n so that g(n) = 0.
-1, -2/5, 1, 2
Let m = 135857867/312030 + -1/62406. Let s = -433 + m. Let 2/5*g**2 - s + 2/5*g = 0. What is g?
-3, 2
Suppose 8*c**5 - 744 - 30968*c**4 + 29452*c**4 + 3724*c - 6716*c**2 + 589*c**3 + 4655*c**3 = 0. Calculate c.
1/2, 1, 186
Let m(w) = -w**2 - 18*w - 81. Let x be m(-9). Factor 12*c**5 + 2*c**4 - 2*c**4 - 11*c**4 + x*c**3 + 2*c**3.
c**3*(3*c - 2)*(4*c - 1)
Let s(j) be the third derivative of j**6/300 - 461*j**5/50 + 212521*j**4/20 - 97972181*j**3/15 + 880*j**2 + 2*j. Factor s(v).
2*(v - 461)**3/5
Let i(y) be the second derivative of 0 + 3*y + 1/45*y**6 - 1/3*y**3 + 1/10*y**5 + 4/3*y**2 - 5/18*y**4. Factor i(t).
2*(t - 1)**2*(t + 1)*(t + 4)/3
Let j = -29 + 33. Let l(w) = 70*w**2 + 195*w - 55. Let c be (-11)/((-33)/(-162)) + -1. Let o(b) = 5*b**2 + 14*b - 4. Let y(i) = c*o(i) + j*l(i). Factor y(p).
5*p*(p + 2)
Suppose 438*y - 601 = 131 + 144. Factor 19/3*w - 6*w**2 + 5/3*w**3 - y.
(w - 2)*(w - 1)*(5*w - 3)/3
Suppose -2/5*n + 322/5*n**4 + 322/5 - 2/5*n**5 + 4/5*n**3 - 644/5*n**2 = 0. What is n?
-1, 1, 161
Suppose -70 = -49*i - 4*o, -4*i + 31*o - 6 = 33*o. Factor -4*d + 0 + 1/2*d**4 + 6*d**i - 3*d**3.
d*(d - 2)**3/2
Let i = -14813/168 - -1235/14. Let t(u) be the third derivative of 0 + 0*u**3 + 0*u - 1/60*u**5 - 31*u**2 + i*u**4. Factor t(r).
-r*(r - 1)
Let j(x) be the third derivative of x**10/2016 - x**9/12096 - x**8/2016 + 11*x**5/10 - 4*x**2. Let h(t) be the third derivative of j(t). Factor h(d).
5*d**2*(3*d + 1)*(5*d - 2)
Let 99*a**2 + 405*a + 29/3*a**3 + 486 + 1/3*a**4 = 0. What is a?
-9, -2
Find n such that 13 - 10 + 38*n + 9 + 6 + 2*n**2