/5*d**3 + 9/5*d**2 + x*d - 9/5.
-(d - 1)*(d + 1)*(2*d - 9)/5
Factor 210*n - 153/2*n**2 + 3/2*n**3 + 288.
3*(n - 48)*(n - 4)*(n + 1)/2
Let g(m) be the second derivative of 25/28*m**4 - 507/14*m**2 + 3/140*m**5 + 262*m + 143/14*m**3 + 0. Factor g(q).
3*(q - 1)*(q + 13)**2/7
Suppose -28 + 4 = -12*p. Suppose -63*v - 150*v**p + 26*v + 235*v**3 + 37*v - 90*v**4 + 5*v**5 = 0. What is v?
0, 1, 2, 15
Let q(j) = 92*j**2 + 34528*j + 137576. Let a(d) = -16*d**2 - 6005*d - 23926. Let s(f) = 52*a(f) + 9*q(f). Factor s(b).
-4*(b + 4)*(b + 373)
Let k(f) be the second derivative of f**5/40 + 7*f**4/20 + 17*f**3/20 + 7*f**2/10 - 1659*f. Find c such that k(c) = 0.
-7, -1, -2/5
Factor 146/13*i**3 - 168/13*i**2 + 8/13*i**5 - 56/13*i**4 + 0 + 72/13*i.
2*i*(i - 2)**2*(2*i - 3)**2/13
Suppose -87*x = -82*x - 100. Let 20 - 56 + 1808*s**2 - 839*s**2 - 12*s - 913*s**2 + 8*s**3 + 4*s**5 - x*s**4 = 0. What is s?
-1, 1, 3
Suppose 5*m - 4 = -4. Let n(x) be the first derivative of 192*x + 2 - 13 + m*x**3 + x**3 - 24*x**2. Let n(a) = 0. What is a?
8
Let g(f) be the third derivative of f**5/300 + 4*f**4/15 + 2*f**3 + 379*f**2 + 3*f. Factor g(z).
(z + 2)*(z + 30)/5
Let i(d) be the third derivative of -d**7/350 + 4*d**6/5 - 1751*d**5/25 + 6004*d**4/5 - 34656*d**3/5 - 794*d**2 + 6*d + 1. Suppose i(a) = 0. Calculate a.
2, 6, 76
Let b(c) = 13*c + 27. Let i be b(0). Let u be (39/27)/13*i. Factor 1/7 + 1/7*p**u - 1/7*p - 1/7*p**2.
(p - 1)**2*(p + 1)/7
Let x(p) be the first derivative of 3*p**5/5 + 21*p**4/4 - 18*p**3 - 122. Let x(s) = 0. What is s?
-9, 0, 2
Let y(u) = 31*u**5 - 27*u**4 - 52*u**3 - 19*u**2 + 5*u. Let b(x) = 50*x**5 - 40*x**4 - 78*x**3 - 28*x**2 + 8*x. Let i(j) = 5*b(j) - 8*y(j). Factor i(t).
2*t**2*(t + 1)**2*(t + 6)
Let w be (28/(-224))/((-835)/3324). Let q = w - -2/835. Factor 1/4*j + 1/4 - 1/2*j**2 + 1/4*j**5 - q*j**3 + 1/4*j**4.
(j - 1)**2*(j + 1)**3/4
Factor -75/2*u + 3/2*u**2 - 279.
3*(u - 31)*(u + 6)/2
Solve -440249 + 7*g**2 - 520085 - 8*g**2 - 401555 - 2334*g = 0.
-1167
Factor 0*b + 3/4*b**4 + 75/4*b**2 - 15/2*b**3 + 0.
3*b**2*(b - 5)**2/4
Let v = -164/3147 + -29841197/34617. Let p = 863 + v. Determine h, given that 8/11*h**2 - 4/11 - 20/11*h**3 + p*h**5 - 4/11*h**4 + 10/11*h = 0.
-1, 2/5, 1
Suppose 9*x - 4*m = 59, -15*x + 16*x - 5*m = 43. Factor -9/5*p**4 + 0 + 84/5*p**x - 20*p**2 + 32/5*p.
-p*(p - 8)*(3*p - 2)**2/5
Let f(k) be the third derivative of -k**5/450 - 37*k**4/180 - 4*k**3/5 + 6561*k**2. Factor f(v).
-2*(v + 1)*(v + 36)/15
Let r be 1 + 25*(-39)/981. Let b = 331/654 - r. Factor -1/4*k**3 + 0 + 0*k + 1/4*k**5 + b*k**4 - 1/2*k**2.
k**2*(k - 1)*(k + 1)*(k + 2)/4
Suppose -8 = 4*r - 6*r. Suppose 4*t - 356 = -r*k, 4*t + 4*k - 2*k = 356. Find x, given that 19 + t + 19*x + 17*x + 3*x**2 = 0.
-6
Let n be 21/6 - -29*(-238)/1972. Factor -68/7*h - 2/7*h**2 + n.
-2*h*(h + 34)/7
Let f be (5800/(-6090))/(30/(-14)). Let p be 4/(-42)*14/(-6). Determine q so that -2/9*q**3 + f*q + 0 - p*q**2 = 0.
-2, 0, 1
Let v(o) = -4*o**3 - 54*o**2 - 108*o + 26. Let j be v(-11). Find r such that -4/5*r - 2/15*r**j + 4/5*r**3 - 16/15*r**2 + 6/5 = 0.
-1, 1, 3
Let l(v) = -4*v**3 + 7*v + 5. Let y be l(-1). Factor -82*x**3 - 3*x**2 + 83*x**3 + 6*x**y.
x**2*(x + 3)
Suppose 2*d = 3*d, 5*w - 10 = -4*d - 0*d. Let y(q) be the second derivative of 0 - 6*q**w + 2*q + 2*q**3 - 1/4*q**4. Factor y(j).
-3*(j - 2)**2
Suppose 24/5*g**4 + 1048/5*g - 72*g**2 - 38/5*g**3 - 2/5*g**5 - 672/5 = 0. Calculate g.
-4, 1, 2, 6, 7
Factor 20/7*g**2 - 4 + 6/7*g**3 + 2/7*g.
2*(g - 1)*(g + 2)*(3*g + 7)/7
Determine s, given that -100489 - 1/4*s**2 + 317*s = 0.
634
Let j(y) be the second derivative of y**6/10 + 39*y**5/10 + 109*y**4/4 + 42*y**3 + 2*y + 1344. Factor j(a).
3*a*(a + 1)*(a + 4)*(a + 21)
Let z = -4026 + 4026. Let u(m) be the third derivative of -1/48*m**4 - 7*m**2 + z + 1/240*m**5 + 0*m + 0*m**3. Factor u(w).
w*(w - 2)/4
Let m be (-4)/((-96)/(-4)) + 253915/6. Solve -5*s**4 - 2276*s**2 - 25679*s + 20480 + m*s - 1324*s**2 + 235*s**3 = 0 for s.
-1, 16
Suppose 22*t = 17*t + 25. Find w such that 3*w**t + 27*w**2 - 1026 + 1026 + 9*w**3 - 15*w**4 = 0.
-1, 0, 3
Let n(s) = 17*s**2 + 9*s + 160. Let z(b) = -3*b**2 - 2*b - 32. Let t(y) = 4*n(y) + 22*z(y). Factor t(r).
2*(r - 8)*(r + 4)
Let p = 156451 - 1408058/9. Find a such that 0*a**2 + 1/9*a**4 + 0 + 0*a - p*a**3 = 0.
0, 1
Suppose 4 = -h + 3*k, -4 = 2*h - 2*k - 2*k. Suppose 5*r - 11 = 3*r - 5*a, h*a + 4 = 2*r. Solve -4*l**2 - 9*l**3 + 2*l**r - 3*l**3 - 2*l**3 = 0.
-1/3, 0
Suppose -28*m + 117 + 23 = 0. Determine b so that 105*b**4 + 5621*b**2 + 2*b**5 + 926*b**3 + 9075*b + 364*b**3 + 3993 + b**m + 649*b**2 = 0.
-11, -1
Find u, given that -17745*u + u**4 - 105 - 126*u**3 - 18 + u**4 + 17871*u + u**4 + 120*u**2 = 0.
-1, 1, 41
Let q(m) = 6*m**2 - 6*m - 8. Let b be ((-1)/1)/((-1)/3 - 0). Let f(g) = -8*g**2 + 7*g + 9. Let a(w) = b*q(w) + 2*f(w). Factor a(x).
2*(x - 3)*(x + 1)
Let l(j) be the first derivative of -3*j**5/20 - 51*j**4/16 - 31*j**3/4 - 45*j**2/8 - 2007. Factor l(y).
-3*y*(y + 1)**2*(y + 15)/4
Let c = -6736 + 33694/5. Find s, given that 0 - 12/5*s - 2/5*s**3 - c*s**2 = 0.
-6, -1, 0
Let f(s) = 3*s**4 - 217*s**3 - 851*s**2 - 631*s - 21. Let z(n) = -2*n**4 + 108*n**3 + 426*n**2 + 316*n + 12. Let o(g) = 4*f(g) + 7*z(g). Factor o(k).
-2*k*(k + 1)*(k + 3)*(k + 52)
Suppose -44*t + 41*t + 156 = 0. Determine d so that 2 + t*d**2 + 7 - 49*d**2 + 12*d = 0.
-3, -1
Let k = 622 - 618. Let j(f) be the third derivative of 1/12*f**5 - 4*f**2 - 5/12*f**k + 0 + 0*f + 0*f**3. Solve j(h) = 0.
0, 2
Solve -2243*m**3 - 6*m**4 + 3*m**4 + 2246*m**3 = 0 for m.
0, 1
Let q(f) be the second derivative of 4*f**6/55 + 12*f**5/11 + 149*f**4/22 + 245*f**3/11 + 450*f**2/11 - 794*f + 1. Suppose q(h) = 0. What is h?
-3, -5/2, -2
Let d(v) = -v**3 - 51*v**2 - 583*v - 2009. Let o(y) = -y**2 - 10*y. Let g(b) = d(b) + 4*o(b). Factor g(w).
-(w + 7)**2*(w + 41)
Let k(l) be the second derivative of -5*l**4/12 - 115*l**3/2 - 402*l. Factor k(c).
-5*c*(c + 69)
Let r(i) be the first derivative of -5*i**4/4 + 245*i**3/3 + 125*i**2 - 1783. Solve r(q) = 0.
-1, 0, 50
Suppose 0 = -2*j - 3*b - 86, -5*j - 2*b = -3*j + 90. Let q = j - -53. Let -12 + 8*r + 4*r + 4 - q*r**2 = 0. Calculate r.
1, 2
Factor 2/3*k**2 + 90 - 32*k.
2*(k - 45)*(k - 3)/3
Let j(v) be the second derivative of -24/7*v**2 - 37/14*v**4 - 106/21*v**3 + v + 1/35*v**6 - 22 - 13/35*v**5. Find o such that j(o) = 0.
-2, -1, -1/3, 12
Let i(m) be the first derivative of -19/3*m**3 - 1/12*m**4 - 6859/3*m - 361/2*m**2 - 32. Factor i(h).
-(h + 19)**3/3
Let n = 3158/567 - 134/567. Factor 14/3*g**3 - 2/3*g**4 + 40/3*g - n - 12*g**2.
-2*(g - 2)**3*(g - 1)/3
Let n(p) be the first derivative of -p**4/16 + 19*p**3/8 + 26*p - 25. Let b(s) be the first derivative of n(s). Let b(o) = 0. Calculate o.
0, 19
Let o(j) be the first derivative of -2*j**3/3 - 207*j**2 - 820*j + 34. Determine h, given that o(h) = 0.
-205, -2
Let k be ((-2921)/(-322))/(-1) + 4/56 - -27. Factor -6*z - k - 1/2*z**2.
-(z + 6)**2/2
Let a(h) be the first derivative of h**3/3 + 203*h**2/2 - 1908*h + 2313. Factor a(u).
(u - 9)*(u + 212)
Find v, given that -5/3*v**4 + 95/3*v**2 - 85/3*v**3 + 85/3*v - 30 = 0.
-18, -1, 1
Determine r so that 7220 - 3725*r**3 + 3600*r - 5137*r**3 - 1948*r**3 - 10697*r**2 + 15*r**4 - 3748*r**2 = 0.
-1, 2/3, 722
Let u(k) be the third derivative of k**6/24 + 283*k**5/4 + 37630*k**4 + 449440*k**3/3 - 1758*k**2. Suppose u(r) = 0. Calculate r.
-424, -1
Let q = 71 - 71. Let r = -7506 - -7509. Factor 1/2*f**2 + q + 2*f**r - 1/3*f + 7/6*f**4.
f*(f + 1)**2*(7*f - 2)/6
Let p be 9/(-1) + (-197312)/192. Let c = p + 1040. Factor -2*n + n**4 + 1/3 + 4*n**2 - c*n**3.
(n - 1)**3*(3*n - 1)/3
Let q be (-104)/(-20) + 318/(-265). Factor 27/2*l**q + 24*l**2 - 36*l**3 + 0 + 0*l - 3/2*l**5.
-3*l**2*(l - 4)**2*(l - 1)/2
Suppose 11 + 81 = 4*g. Solve -141*v**3 + g*v - 27 - 69*v**2 - 39*v**4 + 135 + 121*v - 3*v**5 = 0.
-6, -1, 1
Let g(u) be the third derivative of -u**6/24 + 37*u**5/15 - 295*u**4/8 - 63*u**3 - 203*u**2 - 2*u + 2. Factor g(k).
-(k - 21)*(k - 9)*(5*k + 2)
Let b be 5*(-4)/((-84)/6 - -9). Let u(w) be the third derivative of -1/510*w**5 + b*w**2 + 0 + 4/51*w**3 + 0*w - 1/68*w**4. Determine p, given that u(p) = 0.
-4, 1
Let x be (26144/494 + -53)*0. Factor 4/5 - 3/5*c**2 + x*c + 1/5