28*g - 181552. Let k(n) = -2*n**3 - 1463*n**2 + 180017*n + 181553. Let q(m) = 5*c(m) + 4*k(m). Factor q(a).
-3*(a - 246)**2*(a + 1)
Suppose 0 = -4*a + 3*b - 77, -18 = a - 14*b + 12*b. Let q be 1/(-8) + a/(-32). Suppose 7/4*x - 2*x**2 + 1/2*x**4 + 1/2*x**3 - q - 1/4*x**5 = 0. Calculate x.
-2, 1
Let o(l) be the third derivative of -l**5/60 + l**4/6 + 21*l**2. Let s be o(3). Find y, given that 0 + 0*y + 2*y - 3 + 3*y**2 - s*y**3 + y = 0.
-1, 1
Let h be (-9)/(-8)*(-896)/(-392). Determine a, given that -h*a + 15/7 + 3/7*a**2 = 0.
1, 5
Let g(i) be the first derivative of i**4/14 - 6*i**3/7 + 23*i**2/7 - 30*i/7 - 10028. Find n such that g(n) = 0.
1, 3, 5
Let k(y) = -18*y**3 + 29*y**2 + 26*y - 18. Let o(n) = n**3 - n**2 - n. Let r(d) = -4*k(d) - 76*o(d). Factor r(i).
-4*(i - 1)*(i + 2)*(i + 9)
Let j(w) be the third derivative of -w**7/210 + 7*w**6/20 - 64*w**5/15 + 65*w**4/4 - 175*w**3/6 + 814*w**2. Determine x so that j(x) = 0.
1, 5, 35
Determine n so that 634 - 2090*n - 98*n**2 + 806 - 73*n**3 - 17*n**2 + 88*n**3 = 0.
-9, 2/3, 16
Let p(z) = -3*z - 27. Let g be p(-18). Suppose -2*m - g = -11*m. Factor 1 + 3/5*r**2 + 1/5*r**m - 9/5*r.
(r - 1)**2*(r + 5)/5
Let t(n) = -4*n**4 + 1309*n**3 + 1323*n**2 + 5*n + 5. Let z(f) = -2*f**4 + 654*f**3 + 660*f**2 + 2*f + 2. Let x(i) = 2*t(i) - 5*z(i). Factor x(p).
2*p**2*(p - 327)*(p + 1)
Let z(b) be the second derivative of -1/7*b**3 - 10/7*b**2 + 1/42*b**4 - 9*b + 0. Factor z(l).
2*(l - 5)*(l + 2)/7
Factor 62424 + 136709*l - 2*l**3 - 2*l**3 - 384*l**2 - 144665*l.
-4*(l - 6)*(l + 51)**2
Let v(z) = 137*z + 162. Let h be v(-5). Let j = h + 3679/7. Factor -30/7*b**3 + j*b**4 - 2/7*b**5 + 0*b + 0 - 50/7*b**2.
-2*b**2*(b - 5)**2*(b + 1)/7
Suppose 58*g + 912 = 119*g + 91*g. Factor 0 - 1/3*j**2 - g*j.
-j*(j + 18)/3
Let u(y) = -6*y**3 + 28*y**2 - 26*y - 4. Let g(q) = -43*q**3 + 0 + 54*q**3 + 6 + 53*q - 55*q**2. Let p(v) = 2*g(v) + 5*u(v). Let p(t) = 0. What is t?
-1/4, 2
Let l = -470 + 1182. Let g = 2140/3 - l. Find h such that g - 4/3*h**2 + 0*h = 0.
-1, 1
Let u(s) be the third derivative of 2*s - 1/6*s**5 + 0 + 7/12*s**4 + 0*s**3 + 62*s**2 - 1/30*s**6. Factor u(q).
-2*q*(q - 1)*(2*q + 7)
Let v = -3323 + 3326. Let x(y) be the first derivative of 14 + 1/8*y**4 + 3/2*y - 1/2*y**v - 1/4*y**2. Factor x(w).
(w - 3)*(w - 1)*(w + 1)/2
Let v(p) = 5*p + 16. Let s be v(-1). Let c be (s/(121/66))/1. Determine f so that -3 - 3/4*f**3 - c*f - 15/4*f**2 = 0.
-2, -1
Let v(k) be the first derivative of k**6/72 - 13*k**5/6 + 845*k**4/6 + 2*k**3 - 13*k + 158. Let a(h) be the third derivative of v(h). Factor a(d).
5*(d - 26)**2
Let j(w) be the first derivative of -w**3 - 1311*w**2/2 + 1314*w - 881. Factor j(q).
-3*(q - 1)*(q + 438)
Let r = 2857/81 + -175/81. Let w = r + -5012/153. Factor -4/17*k - 2/17*k**2 + w.
-2*(k - 1)*(k + 3)/17
Let v(g) be the second derivative of 2/3*g**6 - 7/3*g**4 - 2*g**3 + g + 4*g**2 - 3 + 3/5*g**5. Solve v(n) = 0.
-1, 2/5, 1
Let j(o) be the first derivative of -o**4/8 - 2*o**3 - 41*o**2/4 - 21*o - 527. Find x, given that j(x) = 0.
-7, -3, -2
Let i(a) be the first derivative of -a**5/10 - 3*a**4/8 + 31*a**3/2 - 205*a**2/4 - 150*a + 144. What is x in i(x) = 0?
-12, -1, 5
Let b(k) be the first derivative of -1/2*k**4 - 85 + 16/3*k**3 - 15*k + k**2 - 1/5*k**5. Find g, given that b(g) = 0.
-5, -1, 1, 3
Suppose -22 = -10*d - 2. Let i be 3 - (-6 + d + 185/30). Suppose 25/6 + 10/3*r - i*r**2 = 0. Calculate r.
-1, 5
Let d(n) be the second derivative of n**6/1080 + 23*n**5/360 + 11*n**4/36 + 89*n**3/3 + 23*n. Let a(t) be the second derivative of d(t). What is w in a(w) = 0?
-22, -1
Suppose -32/5*q**2 + 24 + 2/15*q**3 + 262/15*q = 0. What is q?
-1, 4, 45
Let v be ((-594)/(-30))/((-9)/(-15)). Let a be 4/30*(5 + (-110)/v). Find w, given that 2/9*w**2 + a*w**4 + 0 - 4/9*w**3 + 0*w = 0.
0, 1
Let n(x) be the second derivative of -49/6*x**3 - 7/12*x**4 + 11/2*x**2 + 0 - 27*x - 1/60*x**5. Let j(v) be the first derivative of n(v). Factor j(b).
-(b + 7)**2
Let r(z) be the first derivative of 4*z**3/3 + 38*z**2 + 336*z + 100. Factor r(n).
4*(n + 7)*(n + 12)
Let i(k) = -3*k**3 - 29*k**2 - 4*k - 2. Let f(m) = -m**2 - 2*m - 1. Let h be (-1)/((-5)/8) + (-4)/(-10). Let x(p) = h*f(p) - i(p). What is l in x(l) = 0?
-9, 0
Let k(g) be the first derivative of -245 - 72*g + 12*g**2 - 2/3*g**3. Factor k(i).
-2*(i - 6)**2
Let q be (2 + -6)/(-3*2/3). Let -385*n - 2*n**q + 2*n**5 + 250 + 35*n - 18*n**2 + 26*n**4 + 117*n**3 - 25*n**3 = 0. Calculate n.
-5, 1
Let -87*a**3 + 101*a**3 + 24*a**2 + 7*a + 55 - 101*a + 7*a**4 - 6*a**4 = 0. What is a?
-11, -5, 1
Factor -3579 - 5*y**2 - 4531*y - 3221 + 135 + 0*y**2 - 2139*y.
-5*(y + 1)*(y + 1333)
Factor -216/5 - 9/5*h**3 + 644/5*h - 474/5*h**2.
-(h + 54)*(3*h - 2)**2/5
What is s in 21/2*s - 57/8*s**4 + 9/2 + 9/4*s**5 - 141/4*s**3 - 159/8*s**2 = 0?
-2, -1, -1/3, 1/2, 6
Let m be 20/25 + (31248/(-20))/(-7). Let t = m - 0. Factor -t*p - 100/3*p**4 - 280*p**3 - 1924/3*p**2 - 64/3.
-4*(p + 4)**2*(5*p + 1)**2/3
Let r(f) be the second derivative of f**4/84 - 40*f**3/21 + 152*f**2/7 + 1044*f - 2. Let r(d) = 0. Calculate d.
4, 76
Suppose 69*k = -621 - 1656. Let y be 11/((-242)/k) - 2/8. Factor 15/4*a + y*a**2 + 5/2.
5*(a + 1)*(a + 2)/4
Let q(j) be the second derivative of j**4/24 - 1367*j**3/6 + 1868689*j**2/4 - 4038*j. What is b in q(b) = 0?
1367
Let f be (-50)/(-92) + 20 + -20. Let s = f + 367/23. Factor 21*a + s*a**2 + 15/4*a**3 + 6.
3*(a + 2)**2*(5*a + 2)/4
Let q be (-1696)/(-36) + 6670/(-145). Suppose -2/9*b**5 + 4/9*b + 2/3*b**3 + q*b**2 - 2/9*b**4 + 0 = 0. Calculate b.
-1, 0, 2
Let r be (-35)/(-14)*47/235. Factor r + g**2 - 5/4*g - 1/4*g**3.
-(g - 2)*(g - 1)**2/4
Let m(h) be the first derivative of -h**6/16 - 3*h**5/8 - 3*h**4/32 + 17*h**3/8 + 33*h**2/8 + 3*h - 1179. Find u such that m(u) = 0.
-4, -1, 2
Let c be 34/12 - (-3)/18. Suppose -2*i + 0*i - c*i**2 - 6*i**2 - 4*i**3 = 0. Calculate i.
-2, -1/4, 0
Let z(k) = -43*k**2 - 937*k + 959. Let x(o) = -19*o**2 - 469*o + 479. Let h(t) = 7*x(t) - 3*z(t). Factor h(p).
-4*(p - 1)*(p + 119)
Let o(d) = 6*d**3 - 30*d**2 + 31*d + 5. Let a(l) be the first derivative of -3*l**4/4 + 5*l**3 - 8*l**2 - 2*l - 206. Let t(p) = -5*a(p) - 2*o(p). Factor t(r).
3*r*(r - 3)*(r - 2)
Let s(w) be the third derivative of 0*w - 3/32*w**4 + 0 - 132*w**2 + 1/240*w**5 - 13/6*w**3. Factor s(l).
(l - 13)*(l + 4)/4
Let t(p) be the first derivative of 0*p**3 - 1/15*p**6 + 0*p + 1/3*p**4 - 1/5*p**5 + 13 + 23/2*p**2. Let f(h) be the second derivative of t(h). Factor f(m).
-4*m*(m + 2)*(2*m - 1)
Let o(p) be the second derivative of p**6/300 - p**5/30 + p**4/20 + 3*p**3/5 + 112*p**2 + 42*p - 1. Let d(m) be the first derivative of o(m). Factor d(u).
2*(u - 3)**2*(u + 1)/5
Suppose m - 18 = 5*i, m + 0*i + 5*i = 48. Let l = m + -18. Factor 9*w**2 + 10 + 5*w**3 - l*w - 9*w**2.
5*(w - 1)**2*(w + 2)
Let o = 1578 - 1586. Let d be o - (-11 - 31/(-11)). Factor -8/11 - 8/11*t + 2/11*t**2 + d*t**3.
2*(t - 2)*(t + 1)*(t + 2)/11
Let t = 173459/37173 - -5/12391. Determine q so that 4/3 - t*q - 6*q**2 = 0.
-1, 2/9
Let l be (-42728)/(-99) - (-24)/132 - 5. Let u = 427 - l. Factor 8/9*b + 10/9*b**2 - u.
2*(b + 1)*(5*b - 1)/9
Let n be ((-272)/20)/(2/5). Let u be -5 + 6 + n*(-2)/12. Factor -5/6*k**3 - 5/3*k**2 + 10/3*k + u.
-5*(k - 2)*(k + 2)**2/6
Let c = -1157 - -831. Let p = 329 + c. Suppose -6/7*r - 2/7*r**p + 2/7 + 6/7*r**2 = 0. What is r?
1
Let i = -479 + 483. Solve 4233*j**2 + 0*j**i - 4305*j**2 - 48 + 96*j - 3*j**4 + 24*j**3 = 0.
2
Let x(a) be the first derivative of 5*a**4/2 + 5*a**3 - 20*a**2 + 15*a - 1847. Factor x(t).
5*(t - 1)*(t + 3)*(2*t - 1)
Let o(q) be the first derivative of 35/3*q**3 + 1/4*q**4 - 324*q + 69 + 144*q**2. Factor o(v).
(v - 1)*(v + 18)**2
Let k = 17215 + -17180. Let l(s) be the second derivative of 0*s**4 + 3/100*s**5 + 0*s**2 + 0*s**3 + 0 + 0*s**6 + k*s - 1/70*s**7. Factor l(t).
-3*t**3*(t - 1)*(t + 1)/5
Let a(l) be the second derivative of -l**4/3 - 1558*l**3/3 - 5*l + 43. Solve a(i) = 0 for i.
-779, 0
Let v(y) = 1257*y**2 + 30170*y + 52. Let j be v(-24). Find o such that 0*o + 18/5*o**2 + 0 + 2/5*o**4 + j*o**3 = 0.
-9, -1, 0
Let y(n) = -n**2 - 28*n - 198. Let k be y(-11). Let s be 22/(3 - 47) + k/(-6). Factor 1/6*g**2 + 3/2*g + s.
(g + 1)*(g + 8)/6
Let y(t) be the second derivative 