/5*y**2 + 38/5*y - 14/5.
2*(y - 1)**2*(5*y - 7)/5
Let i(n) be the first derivative of 1/12*n**3 + 0*n - 17 + 1/16*n**4 - 1/4*n**2. Factor i(o).
o*(o - 1)*(o + 2)/4
Let s be ((-12)/(-18))/((-4)/34). Let t = s + 23/4. Factor -t*r**4 + 1/6*r**2 - 1/12*r**5 - 1/12 + 1/6*r**3 - 1/12*r.
-(r - 1)**2*(r + 1)**3/12
Suppose -20*o + 5331 - 651 = 0. Let a be o/(-45) + 9 + -3. Factor a + 8/5*m + 4/5*m**2.
4*(m + 1)**2/5
Let n = -114889622693/4277 - -26862197. Let r = -2/611 - n. Factor 5/7*l**2 - 23/7*l - r.
(l - 5)*(5*l + 2)/7
Suppose -3*x - 117 + 1092 = -3*v, 5*v - x + 1617 = 0. Let r = v + 327. Let -l**3 + 0 + 1/2*l + 0*l**r + 0*l**2 + 1/2*l**5 = 0. Calculate l.
-1, 0, 1
Let d(f) be the second derivative of -46/3*f**3 - 2/21*f**7 - f - 24/5*f**5 - 12*f**2 + 57 - 34/3*f**4 - 16/15*f**6. Factor d(i).
-4*(i + 1)**3*(i + 2)*(i + 3)
Let b(i) be the third derivative of -i**5/12 + 275*i**4/24 + 145*i**3 - i**2 - 493. Factor b(l).
-5*(l - 58)*(l + 3)
Let t = 118/31 - 1503/403. Let b(z) be the second derivative of 1/65*z**5 + 0 + 1/39*z**4 - t*z**2 - 1/39*z**3 + 15*z - 1/195*z**6 - 1/273*z**7. Solve b(i) = 0.
-1, 1
What is s in -4/3*s**2 - 112/3 - 64/3*s = 0?
-14, -2
Let d(m) be the second derivative of m**7/105 + m**6/10 + 3*m**5/10 + m**4/3 + 33*m**2 + m - 65. Let s(h) be the first derivative of d(h). Factor s(y).
2*y*(y + 1)**2*(y + 4)
Let f(x) be the first derivative of -x**5/15 - 9*x**4/2 + x**2 - 60*x - 81. Let b(s) be the second derivative of f(s). Let b(t) = 0. What is t?
-27, 0
Suppose -62*g + 19*g - 54*g = -14*g. Let y(r) be the third derivative of -2/5*r**5 + 0 + 1/40*r**6 + 27*r**2 + g*r - 9*r**3 + 21/8*r**4. Factor y(k).
3*(k - 3)**2*(k - 2)
Factor 113*z - z**4 - 152*z**3 + 4*z**4 + 128*z**3 + 72 + 15*z**2 + z.
3*(z - 6)*(z - 4)*(z + 1)**2
Let n(d) be the first derivative of d**6/24 + d**5/3 - 25*d**4/24 + 9*d**2 - 38. Let m(o) be the second derivative of n(o). Factor m(v).
5*v*(v - 1)*(v + 5)
Factor -3/5*x**3 - 153/5*x - 1026/5 + 174/5*x**2.
-3*(x - 57)*(x - 3)*(x + 2)/5
Let n(c) = c**2 - 6*c - 185. Let m be n(-11). Suppose 21 = 2*x + 3*j, -x - m*j = -0*j - 13. Factor -2/5 + 4/5*r**x - 2*r**2 + 8/5*r.
2*(r - 1)**2*(2*r - 1)/5
Let j(c) = 82*c**2 - 950*c - 928. Let t(i) = 10*i**2 - 5*i - 2. Let g(w) = j(w) - 8*t(w). What is s in g(s) = 0?
-1, 456
Let u(y) = 127*y**3 - 643*y**2 + 3143*y - 2492. Let d(j) = 17*j**3 - 92*j**2 + 449*j - 356. Let n(w) = -15*d(w) + 2*u(w). Suppose n(p) = 0. Calculate p.
1, 4, 89
Let j = -10/791 + -6619/39550. Let z = j + 281/450. Solve 10/9*y + 8/9*y**2 + z + 2/9*y**3 = 0 for y.
-2, -1
Let u(p) be the second derivative of -1 - 3/20*p**5 - 7/16*p**4 + 1/4*p**3 + 17*p + 0*p**2. Find t, given that u(t) = 0.
-2, 0, 1/4
Let h be (2178/54 + -39)*1. Factor -1/3*q**5 - 4/3*q**3 - 2/3 - 2/3*q**2 + 5/3*q + h*q**4.
-(q - 2)*(q - 1)**3*(q + 1)/3
Let k be ((-40)/9)/(2348/(-1761)). Factor k - 2/3*x**2 + 8/3*x.
-2*(x - 5)*(x + 1)/3
Let v(c) = c**2 - 240*c - 9 + 1 + 247*c. Let d be v(4). Let -11 + o**2 + 6*o + d - 16 = 0. What is o?
-3
Let 11/2*s + 13/2*s**3 - 23/2*s**2 + 0 - 1/2*s**4 = 0. Calculate s.
0, 1, 11
Let d be (-2)/(-2*25/6885). Let p = -275 + d. Factor 1/5*b**4 + p*b + 0 - 3/5*b**2 + 0*b**3.
b*(b - 1)**2*(b + 2)/5
Suppose -145168/5*s**2 + 167424/5*s + 948*s**4 - 10*s**5 - 109368/5*s**3 - 36864/5 = 0. What is s?
-2, 2/5, 48
Factor 36*z - 2/3*z**3 - 224/3 + 2*z**2.
-2*(z - 8)*(z - 2)*(z + 7)/3
Let f(a) be the third derivative of -a**5/360 + 83*a**4/72 - 1256*a**2. Factor f(m).
-m*(m - 166)/6
Let z = -590 - -3553/6. Factor 4 + 5/3*l + 1/6*l**3 - z*l**2.
(l - 12)*(l - 2)*(l + 1)/6
Let n = 4165/566 - 1941/283. Suppose n*d**4 - 5/2*d**5 - 13/2*d**2 + 15/2*d**3 + d + 0 = 0. Calculate d.
-2, 0, 1/5, 1
Suppose 0 = -3447*b + 3439*b + 17816. Suppose 0 = b*n - 2222*n - 10. Find d such that 2/3*d**4 + 0*d + 4/15*d**3 + 0*d**n + 0 = 0.
-2/5, 0
Factor -2094/11*s**2 + 730806/11*s - 85017098/11 + 2/11*s**3.
2*(s - 349)**3/11
Let n(b) be the second derivative of -3*b**5/100 + 2*b**4 + 41*b**3/10 - 180*b. What is y in n(y) = 0?
-1, 0, 41
Let m(d) be the third derivative of d**7/490 - 9*d**6/70 + 177*d**5/70 - 335*d**4/14 + 1725*d**3/14 - 151*d**2 + 9*d. Determine v so that m(v) = 0.
3, 5, 23
Let p = 3645 - 18222/5. Let a(q) be the first derivative of 3*q**2 - 13 + p*q**5 + q + 4*q**3 + 5/2*q**4. Suppose a(m) = 0. Calculate m.
-1, -1/3
Let p(l) be the second derivative of 20*l + 13*l**2 + 1/9*l**3 - 1/180*l**5 + 0 + 1/72*l**4. Let u(w) be the first derivative of p(w). Factor u(q).
-(q - 2)*(q + 1)/3
Factor 794314*s + 1958 + 2890 - 2*s**2 + 6*s**2 + 0*s**2 - 796746*s.
4*(s - 606)*(s - 2)
Let i be 72116/(-447)*(-54)/28. Factor i - 2/7*g**3 - 330*g + 134/7*g**2.
-2*(g - 33)**2*(g - 1)/7
Let d(j) be the third derivative of 25 - j**2 + 1/56*j**8 + 3/70*j**7 + 0*j**6 + 0*j**4 + 0*j**3 + 0*j - 1/20*j**5. Determine h, given that d(h) = 0.
-1, 0, 1/2
Let w(a) = -17*a**4 - 53*a**3 + 68*a**2 + 264*a - 26. Let r(y) = 4*y**4 + 13*y**3 - 17*y**2 - 66*y + 6. Let f(d) = 26*r(d) + 6*w(d). Solve f(i) = 0 for i.
-11, -2, 0, 3
Let v = 69579 + -69577. What is b in -5/2*b**v + 10 + 0*b = 0?
-2, 2
Let t(v) be the third derivative of -v**8/2352 - 197*v**7/1470 - 4997*v**6/420 - 2881*v**5/42 - 28421*v**4/168 - 9409*v**3/42 + 3746*v**2. Factor t(a).
-(a + 1)**3*(a + 97)**2/7
Suppose -5*b - 15 = -0*b, 30 = 2*j - 4*b. Let 130*w - j*w + 19*w - 5*w**2 - 980 = 0. What is w?
14
Let a be (((-4848)/56)/6)/((-12)/14) + -10. Suppose -31/6*t**4 - 11/6*t + 5/3*t**5 + 1/6*t**3 + a*t**2 - 5/3 = 0. Calculate t.
-1, -2/5, 1, 5/2
Factor 4367241*h**3 - 368*h - 216*h**2 - 239 - 4367293*h**3 - 4*h**4 + 83 - 68.
-4*(h + 2)**3*(h + 7)
Suppose 0 = -5*u - 4*j - 52, -886*u - 65 = -885*u + 5*j. Factor u - 2/5*s**2 - 34/5*s.
-2*s*(s + 17)/5
Let k be (142/426)/(3/3). Let b(s) be the third derivative of 0 + 1/18*s**5 + 0*s + 7/36*s**4 + k*s**3 - 22*s**2 + 1/180*s**6. Factor b(d).
2*(d + 1)**2*(d + 3)/3
Let v(i) be the third derivative of -2*i**2 - 1/60*i**5 + 2 + 5/12*i**4 + 0*i + 4*i**3. Factor v(p).
-(p - 12)*(p + 2)
Let z(a) be the second derivative of a + 23 - 1/66*a**4 - 529/11*a**2 - 46/33*a**3. Let z(m) = 0. What is m?
-23
Let s(x) be the second derivative of -2/3*x**3 - 8*x + 7/16*x**5 + 0 - 23/24*x**4 + 0*x**2. Factor s(q).
q*(5*q - 8)*(7*q + 2)/4
Let b(r) be the third derivative of r**8/2016 + r**7/140 + 7*r**6/240 + 19*r**5/360 + r**4/24 - 2*r**2 + r - 2272. Factor b(a).
a*(a + 1)**3*(a + 6)/6
Factor -25 + 823 - 339*b + 164*b - 625*b + 2*b**2.
2*(b - 399)*(b - 1)
Let u(p) be the first derivative of 16*p**3 + 9/5*p**5 - 164 - 39/4*p**4 - 6*p**2 + 0*p. Factor u(m).
3*m*(m - 2)**2*(3*m - 1)
Let p = -763 + 765. Suppose 324 - 5*n**5 + n**5 + 99*n**4 + 3133*n**p + 41*n**4 + 13*n**4 - 1980*n - 1626*n**3 = 0. Calculate n.
1/4, 1, 18
What is u in -220*u + 25/2 + 968*u**2 = 0?
5/44
Suppose 0 = 2*o + 3*l + 20, -5*o - 353 + 371 = -l. Let y(j) be the first derivative of 0*j - 1/12*j**3 - 31 - 1/2*j**o. Solve y(d) = 0 for d.
-4, 0
Let a(v) = 4*v**3 - 419*v**2 + 14223*v - 137691. Let l(q) = 44*q**3 - 4612*q**2 + 156452*q - 1514604. Let n(o) = -32*a(o) + 3*l(o). Factor n(t).
4*(t - 45)**2*(t - 17)
Solve -10/3*z**3 + 0 + 9/2*z**2 + 1/2*z**4 - 5/3*z = 0.
0, 2/3, 1, 5
Let h(w) be the first derivative of w**3/5 - 6*w**2 + 252*w/5 - 1355. Find j such that h(j) = 0.
6, 14
Let b = -29273/12 - -7361/3. Factor -b*t + 5/4*t**2 + 11/2.
(t - 11)*(5*t - 2)/4
Let b(k) be the second derivative of 3*k**7/14 + 326*k**6/5 - 5289*k**5/20 - 165*k**4 + 7545*k. Let b(q) = 0. What is q?
-220, -1/3, 0, 3
Let a(h) be the second derivative of h**6/25 + 63*h**5/100 + 81*h**4/20 + 27*h**3/2 + 243*h**2/10 + 790*h. Factor a(f).
3*(f + 3)**3*(2*f + 3)/5
Let v be (3 + (-38)/(-6))/(14/63). Factor -r**5 - 70*r + 4*r**5 - 33*r**4 + v*r**3 - 84*r + 12*r**2 + 30*r**3 + 58*r.
3*r*(r - 8)*(r - 2)**2*(r + 1)
Let o = -6518/3 - -2173. Let a(x) be the second derivative of 0*x**2 - o*x**3 - 17*x + 0 + 1/6*x**4. Factor a(b).
2*b*(b - 1)
Let x be -1 + (4/(-10))/(1323/(-77) + 17). Let c(h) be the first derivative of 2/5*h**3 + 0*h + 35 - x*h**4 + 14/25*h**5 + 2/5*h**2. Factor c(f).
2*f*(f - 1)**2*(7*f + 2)/5
Let u(w) = w**3 - 2*w**2. Suppose 0 = -14*c + 9 + 19. Let v(l) = 3*l**3 - 22*l**2 + 33*l - 16. Let b(f) = c*u(f) - v(f). Factor b(k).
-(k - 16