ivative of s(f). Factor i(t).
(t - 3)**2*(t - 2)*(t + 1)
Let u(h) be the first derivative of h**6/10 + 3*h**5/10 - 15*h**4/4 - 16*h**3 - 24*h**2 - 76*h + 45. Let o(a) be the first derivative of u(a). Factor o(z).
3*(z - 4)*(z + 1)**2*(z + 4)
Let j = -450799/3 + 150267. Find i, given that 1/3*i**4 - j + 1/3*i**2 + i**3 - i = 0.
-2, -1, 1
Let z(g) = 7373*g - 36862. Let u be z(5). Let 4/11 + 488/11*r**2 + 22*r**u + 250/11*r = 0. What is r?
-1, -2/121
Let k(l) be the second derivative of l**6/24 - 3*l**5/4 - 365*l**4/24 + 455*l**3/2 + 41405*l**2/8 + 1152*l. Factor k(o).
5*(o - 13)**2*(o + 7)**2/4
Let k(b) be the first derivative of b**5/30 - b**4/3 + b**3 - 4*b**2/3 + 62*b + 22. Let d(p) be the first derivative of k(p). Factor d(n).
2*(n - 4)*(n - 1)**2/3
Suppose 277*a + 259*a = 1608. Let p be (1 + 3)*(-15)/(-12). Factor -10/23*x**p + 2/23*x + 0 + 4/23*x**2 + 28/23*x**4 - 24/23*x**a.
-2*x*(x - 1)**3*(5*x + 1)/23
Suppose -66*v + 87*v - 315 = 0. Let b be 1/((-12)/v)*144/(-90). Let -1/6*x**3 + 1/6*x**b + 0 - 1/6*x**4 + 1/6*x = 0. What is x?
-1, 0, 1
Let p be ((-20)/8 - -4)*2. Factor -61*i**3 - i + 23*i**p + 10*i**2 + 16*i**3 - 6 + 19*i**3.
-(i - 3)*(i - 1)*(3*i + 2)
Let a(u) be the third derivative of u**5/15 - 10*u**4 + 118*u**3/3 - 271*u**2 - 1. Factor a(r).
4*(r - 59)*(r - 1)
Suppose -13*z + 57 = 5. Solve 6 + r**z - 17*r**3 + 6 - 3*r**4 - 10*r**2 + 10*r - 17*r**3 + 24*r**3 = 0 for r.
-3, -2, -1, 1
Let b(t) be the third derivative of -3/140*t**7 + t**3 + 23/40*t**5 + 1/16*t**6 + 0*t - 2*t**2 + 19/16*t**4 - 30. Let b(p) = 0. Calculate p.
-1, -1/3, 4
Suppose 32 = -2*k + 40. Factor -4*p + 3*p - p**3 - 1745 - k*p**2 + 1751.
-(p - 1)*(p + 2)*(p + 3)
Let u(q) be the third derivative of -1/4*q**5 - 3/40*q**6 + 0*q + 0 - 1/4*q**4 + 1/112*q**8 + 0*q**3 + 1/70*q**7 - 51*q**2. Factor u(n).
3*n*(n - 2)*(n + 1)**3
Let 7937 - 9*a**4 - 3126 + 104*a**3 + 11*a**4 + 8365 + 7*a - 1098*a**2 + 209*a = 0. What is a?
-61, -3, 6
Let w = 2/1705 - -6814/5115. Factor -w - 23/9*c**2 - 28/9*c - 1/9*c**4 - 8/9*c**3.
-(c + 1)*(c + 2)**2*(c + 3)/9
Let n(x) = 9*x**2 - 6*x - 14. Let g(w) = -7*w**2 + 6*w + 13. Let q(a) = -5*g(a) - 4*n(a). Factor q(k).
-(k + 3)**2
Let p = -326/117 + 2984/819. Factor 1/7*o**5 + 13/7*o**3 + p*o**4 + 4/7*o + 12/7*o**2 + 0.
o*(o + 1)**2*(o + 2)**2/7
Suppose 0 = -4*r - 5*j + 41, -r + 0*j = -j - 8. Suppose -23*n - r*n + 64 = 0. Factor -2/9*y + 4/3 - 2/9*y**n.
-2*(y - 2)*(y + 3)/9
Suppose 0 = -b - 5*b + 12. Suppose 0 = -b*d + 26. Factor -10*n - d + 30 + n**2 + 8.
(n - 5)**2
Let x = 186 - 185. Let r(b) = -30*b**3 - 15*b**2 - 5*b - 5. Let u(v) = v**4 - 2*v**3 + v**2 - v - 1. Let o(j) = x*r(j) - 5*u(j). Factor o(d).
-5*d**2*(d + 2)**2
Let i(h) be the second derivative of -5*h**4/12 - 14930*h**3/3 - 22290490*h**2 + 150*h + 1. Find u such that i(u) = 0.
-2986
Factor -789091 + 1611*r + 555*r - 1170909 + 4150*r - 716*r - 4*r**2.
-4*(r - 700)**2
Factor -425*k**2 + 66*k**3 - 76*k + 24*k**3 - 295*k**2 - 14*k**3 + 722 - 2*k**4.
-2*(k - 19)**2*(k - 1)*(k + 1)
Let y(n) be the second derivative of -n**4/18 + 2186*n**3/9 - 1194649*n**2/3 - 10*n - 65. Factor y(c).
-2*(c - 1093)**2/3
Suppose 22*m = 70*m - 192. Let i(p) be the third derivative of -1/1260*p**7 - 1/144*p**m + 22*p**2 + 0*p + 1/360*p**5 + 1/720*p**6 + 0*p**3 + 0. Factor i(v).
-v*(v - 1)**2*(v + 1)/6
Let k(j) = -j**2 + 29*j - 49. Let x be k(24). Let b = -69 + x. Factor -2/11*w**b - 32/11 - 16/11*w.
-2*(w + 4)**2/11
Factor -71/2*n**2 - 119/4*n + 3 - 11/4*n**3.
-(n + 1)*(n + 12)*(11*n - 1)/4
Let g = 16266 + -16264. Let k(j) be the first derivative of 0*j - g - 4/3*j**3 - 6*j**2. Factor k(p).
-4*p*(p + 3)
Let h(t) = -3*t**3 + 24*t**2 + 75*t - 126. Let q(f) = f**2 + f + 3. Let l(o) = -h(o) - 6*q(o). Factor l(x).
3*(x - 12)*(x - 1)*(x + 3)
Suppose 30 = 6*d - 4*d + 2*f, 60 = -152*f + 156*f. Factor 0 + 0*c**2 - 1/2*c**4 + d*c - 13/2*c**3.
-c**3*(c + 13)/2
Let b(s) be the third derivative of 6*s**6 + 26*s**5/5 - 67*s**4/24 + s**3/2 - 3*s**2 + 74*s. Factor b(t).
(5*t + 3)*(12*t - 1)**2
Suppose -1001*i + 70 = 973*i - 1939*i. Determine d, given that 34/5*d**i + 2/5*d**4 + 12/5 + 14/5*d**3 + 34/5*d = 0.
-3, -2, -1
Let p be (-60)/75*10/(-4). Let x(l) = -2*l**2 - 23*l + 15. Let t be x(-12). Factor -7*a**2 - 4*a**3 + 2*a**p - t*a**2.
-4*a**2*(a + 2)
Let p be (-9 - ((-1080)/76 - 2)) + 7 - (27 + -17). Factor 2/19*f**2 - 44/19*f + p.
2*(f - 20)*(f - 2)/19
Let h = 18619 - 18613. Let o(m) be the second derivative of -1/120*m**h + 1/8*m**4 + 0 + 1/6*m**3 - 1/80*m**5 + 38*m - m**2. What is v in o(v) = 0?
-2, 1, 2
Let x(c) be the second derivative of 625*c**7/42 + 550*c**6/3 + 465*c**5 - 3560*c**4/3 - 23680*c**3/3 - 15360*c**2 + 12*c - 47. Factor x(p).
5*(p - 2)*(p + 6)*(5*p + 8)**3
Let w(q) = -2*q**2 + 695*q - 696. Let z(c) = c**2 + 2*c. Let h(b) = 5*w(b) + 5*z(b). Factor h(g).
-5*(g - 696)*(g - 1)
Let b(s) = s. Let g(w) be the first derivative of 23*w**2 - 18 - 2/3*w**3 - 288*w. Let m(h) = -2*b(h) - g(h). Factor m(y).
2*(y - 12)**2
Let f be 175*36/81 - (17 + (-2015)/117). Find b such that 27/2 - 213/4*b + 3/4*b**5 - 99/2*b**3 + f*b**2 + 21/2*b**4 = 0.
-18, 1
Factor 76/3*c**3 + 2/3*c**4 + 70*c**2 + 0 + 0*c.
2*c**2*(c + 3)*(c + 35)/3
Let r(g) = 8*g**3 + 32*g**2 - 84*g - 168. Let a(m) = 0*m**3 + 7*m**2 - 8*m**2 - 3 + 1 + m**3 + m. Let t(s) = -12*a(s) + r(s). Solve t(k) = 0 for k.
-1, 6
Let j(p) = 4*p**2 + 290*p + 5139. Let i be j(-42). Factor -i + 6*f**2 - 117/2*f.
3*(f - 10)*(4*f + 1)/2
Let -352/9 - 2/3*q**2 - 2/9*q**3 + 16*q = 0. What is q?
-11, 4
Suppose 2*c = 70 - 62. Let i(a) be the third derivative of 0*a**3 + 1/240*a**5 + 0*a + 0 + 0*a**c + 6*a**2. Suppose i(o) = 0. What is o?
0
Let j be (-574)/(-178) + -2 - 3 - -2. Let y = j + 49/178. Suppose 15/8*o**2 + 0 + y*o**3 - 1/2*o = 0. What is o?
-4, 0, 1/4
Solve 19/4*f**3 - 1/4*f**4 - 33/2*f - 1/4*f**5 - 18 + 25/4*f**2 = 0 for f.
-3, -1, 2, 4
Let z(i) be the third derivative of 0*i + 57 - 35/6*i**4 + 19/12*i**5 + 10*i**3 - 2*i**2 - 1/6*i**6. Let z(p) = 0. Calculate p.
3/4, 2
Let l = -178 - -180. Factor -m**l + 12*m**3 - 14*m**3 + m**4 + 3*m - m.
m*(m - 2)*(m - 1)*(m + 1)
Let i(j) = 45*j - 21. Let l be i(1). Determine s so that -8*s + 4*s + 29*s + 41*s**2 - l*s**3 - 28 - 9*s**2 - 4*s**4 - s = 0.
-7, -1, 1
Let b be 3/5 - 57/(1995/(-154)). What is s in 2/3*s**3 + 2/9*s**2 + 0 - 2/9*s**4 - 4/9*s - 2/9*s**b = 0?
-2, -1, 0, 1
Solve 7*b**3 + 19*b**3 - 216 - 3*b**3 + 19*b**3 + 6592700*b**4 + 219*b**2 - 42*b - 6592703*b**4 = 0.
-4, -1, 1, 18
Let a(c) = -13791*c + 96539. Let i be a(7). Factor 4 + 7/3*f + 1/3*f**i.
(f + 3)*(f + 4)/3
Let m(c) = -11*c**3 + 291*c**2 - 561*c + 281. Let b(s) = 45*s**3 - 1165*s**2 + 2245*s - 1125. Let a(j) = 6*b(j) + 25*m(j). Factor a(v).
-5*(v - 55)*(v - 1)**2
Let w(d) be the third derivative of -1/96*d**4 - 5*d - 2*d**2 + 1/480*d**6 + 0*d**3 + 0 + 0*d**5. Factor w(z).
z*(z - 1)*(z + 1)/4
Let u(w) = 4*w**4 - 64*w**3 - 48*w**2 + 294*w - 180. Let l(z) = -11*z**4 + 129*z**3 + 95*z**2 - 588*z + 360. Let y(c) = -2*l(c) - 5*u(c). Factor y(h).
2*(h - 1)**2*(h + 3)*(h + 30)
Let s(j) be the first derivative of -45*j**2 - 139 - 54*j - 13/2*j**3 - 3/10*j**5 + 15/4*j**4. Find w such that s(w) = 0.
-1, 6
Suppose -81 + 97 = 8*z. Let m(y) be the first derivative of 13 + 1/12*y**3 + 1/8*y**z - 1/20*y**5 + 0*y - 1/16*y**4. Let m(a) = 0. Calculate a.
-1, 0, 1
Let t = -21 + 25. Suppose f + 2 = t. Determine g, given that 12*g**3 + 2*g**2 + 6*g**2 - 2*g - 4*g**3 - f = 0.
-1, -1/2, 1/2
Suppose 5*p - 461 = 4*o, -3*p = o - 2*p + 122. Let u = 358/3 + o. Factor -1/6*b**3 + 1/2*b**2 + 5/6*b + u - 1/6*b**4.
-(b - 2)*(b + 1)**3/6
Suppose 5*p - 22 = -4*u, -4*p + 5*u + 18 = -16. Let j(m) = 5*m**2 + 90*m - 225. Let o(c) = -c**2 - 23*c + 56. Let i(a) = p*j(a) + 25*o(a). Factor i(q).
5*(q - 5)*(q - 2)
Let m(d) be the second derivative of -d**4/32 - 217*d**3 - 565068*d**2 + d + 2514. Suppose m(f) = 0. Calculate f.
-1736
Let s be (-2499)/(-42)*((-17)/102 + (-107)/(-210)). Factor -s*d - 84/5*d**2 - 28/5 - 2*d**3.
-2*(d + 1)*(d + 7)*(5*d + 2)/5
Let q be 2 - 7/((-56)/(-80)). Let j be (-5)/(-300) - (155/20 + q). Factor -14/15*a**2 - 2/3*a**4 + 0 + 6/5*a**3 + j*a + 2/15*a**5.
2*a*(a - 2)*(a - 1)**3/15
Let v(l) = -2 + 2*l**2 + 4 - 2*l - 4*l**2 + 3*l**2. Let a(r) = -2*r**2 + 10*r - 2. Let s(o) = -4*a(o) 