 - 16)**2*(r + 6)
Let n(f) = 25*f**4 + 161*f**3 - 736*f**2 + 748*f. Let v(l) = -9*l**4 - 54*l**3 + 246*l**2 - 249*l. Let t(r) = -3*n(r) - 8*v(r). Factor t(y).
-3*y*(y - 2)**2*(y + 21)
Suppose -760 = -11*t + 1330. Factor -882*q**4 + 165*q**5 - t*q**2 + 756*q**3 - 26*q**2 + 178*q**5.
q**2*(7*q - 6)**3
Let -153/2*w**2 - 3/2*w**3 - 2565/2*w - 14175/2 = 0. What is w?
-21, -15
Let t be (-46)/(-19)*127/2286. Let d = t - 5/171. What is k in d*k + 2/19*k**2 - 4/19 = 0?
-2, 1
Let y(z) be the first derivative of -6*z + 19/3*z**2 - 4/9*z**3 + 25. Solve y(l) = 0 for l.
1/2, 9
Let i(q) be the third derivative of -q**8/168 + 4*q**7/35 - q**6/3 - 1612*q**2. Solve i(n) = 0 for n.
0, 2, 10
Determine d so that -52941*d + 26465*d + 756*d**2 + d**3 + 0*d**3 - 756 + 26475*d = 0.
-756, -1, 1
Let m(o) be the second derivative of -o**4/12 - 29*o**3/6 + 105*o**2 + 1210*o. Factor m(v).
-(v - 6)*(v + 35)
Factor 2/3*k + 1/3*k**2 - 5.
(k - 3)*(k + 5)/3
Find w, given that -12*w**4 - 1504*w**2 - 3600 - 2234*w - 1856*w**3 - 22*w**4 + 10*w**4 - 5112*w**2 + 36*w**5 - 6186*w = 0.
-4, -5/3, -1, 9
Let d be 9/(81/(-14)) - 752874/(-94635). Factor -2/5*f**2 + 0*f + d.
-2*(f - 4)*(f + 4)/5
Let o(k) be the first derivative of -k**4/16 + 35*k**3/12 + 153*k**2/8 + 117*k/4 - 226. Find y, given that o(y) = 0.
-3, -1, 39
Suppose -1048/3*q - 2/3*q**3 + 1376/3 + 184/3*q**2 = 0. Calculate q.
2, 4, 86
Let m be (-7 + 10 - (1*-6)/(-2))/3. Let k(f) be the second derivative of -1/16*f**4 + m - 1/4*f**3 + 7*f + 9/8*f**2. Factor k(r).
-3*(r - 1)*(r + 3)/4
Let w be 0 + (-5 - ((-8)/1 - 0)). Let f(v) be the second derivative of 5/2*v**w - 16*v + 0 - 5*v**2 - 5/12*v**4. Factor f(q).
-5*(q - 2)*(q - 1)
Let y(t) be the first derivative of 2*t**3/3 + 288*t**2 + 41472*t + 103. Factor y(j).
2*(j + 144)**2
Let b(d) be the third derivative of -d**8/1344 + d**7/84 - d**6/60 - 4*d**5/15 - 5*d**2 - 5*d. Solve b(i) = 0.
-2, 0, 4, 8
Factor 0*i + 0*i**2 + 0 - 24/13*i**3 - 2/13*i**4.
-2*i**3*(i + 12)/13
Let r(q) = 3*q**2 - 11*q - 16. Let f(v) be the second derivative of -5*v**4/3 + 67*v**3/6 + 95*v**2/2 - v + 32. Let u(n) = 6*f(n) + 39*r(n). Factor u(m).
-3*(m + 3)*(m + 6)
Let z(s) = -s**2 - 56*s - 142. Let f be z(-32). Let g = -626 + f. Suppose 1/5 + g*a**2 - 3/10*a + 1/10*a**3 = 0. Calculate a.
-2, 1
Let n(b) = -7642*b - 53490. Let g be n(-7). Factor -10/7*i**2 + 8/7*i**3 + 0*i + 2/7*i**g + 0.
2*i**2*(i - 1)*(i + 5)/7
Let u be (-25)/(-100) + (-306)/(-24). Let z(b) be the second derivative of -2/15*b**6 + 4/3*b**3 + 4/5*b**5 - u*b + 0*b**2 - 5/3*b**4 + 0. Factor z(l).
-4*l*(l - 2)*(l - 1)**2
Suppose -24*k = -158 + 38. Let q(z) be the second derivative of -1/12*z**4 - 1/6*z**2 + 0 - 34*z - 1/60*z**k - 1/6*z**3. Factor q(n).
-(n + 1)**3/3
Let f(j) be the third derivative of j**7/210 + 2*j**6/15 - 17*j**5/60 + 115*j**2 - 3. Suppose f(c) = 0. Calculate c.
-17, 0, 1
Let l be 19/6 + 153/(-51). Let p(n) be the second derivative of 1/30*n**6 - l*n**4 + 1/20*n**5 + 0*n**3 + 0*n**2 - 5*n + 0. Let p(i) = 0. Calculate i.
-2, 0, 1
Determine y so that -106*y - 472/3*y**2 + 2/3*y**5 - 308/3*y**3 - 80/3 - 24*y**4 = 0.
-1, 40
Suppose 2*b - 8 = -4*l, -14*l + b + 24 = -9*l. Suppose 5*y + 3*w - 3 = 0, l*w - 6 = y - 2. Factor 1/3*m**2 + 1/9*m + 1/9*m**4 + y + 1/3*m**3.
m*(m + 1)**3/9
Let x(l) be the first derivative of 5/2*l**2 - 2/5*l - 78 - 4/5*l**3. Factor x(r).
-(r - 2)*(12*r - 1)/5
What is y in -2170/9*y - 2/9*y**3 - 4900/9 + 136/9*y**2 = 0?
-2, 35
Let s(b) = -2*b**2 - 3600*b - 806390. Let v(z) = -15*z**2 - 28804*z - 6451113. Let r(c) = 17*s(c) - 2*v(c). Factor r(t).
-4*(t + 449)**2
Let k(w) = -4*w**3 - 240*w**2 - 244*w + 496. Let n(j) = -4*j**3 - 241*j**2 - 243*j + 495. Let a(i) = 7*k(i) - 8*n(i). Suppose a(x) = 0. What is x?
-61, -2, 1
Let z(w) = 1116*w + 3351. Let m be z(-3). Let y(o) be the third derivative of 0*o - 21*o**2 - 19/108*o**4 + 0 - 7/270*o**5 + 2/9*o**m. Factor y(n).
-2*(n + 3)*(7*n - 2)/9
Let r(q) be the third derivative of q**7/1365 - 19*q**6/390 - 62*q**5/195 + 19*q**4/78 + 41*q**3/13 - 1324*q**2 + 1. Solve r(c) = 0 for c.
-3, -1, 1, 41
Let c(p) be the second derivative of 0*p**4 + 7/39*p**3 + 6/13*p**2 + 6*p - 1/130*p**5 + 5. Determine k so that c(k) = 0.
-2, -1, 3
Suppose -273 = 5*l - 18*l. Suppose -4*f + 2*x + 0*x = -26, -l = f + 5*x. Factor -6 + f*m + 4 + 4*m**2 - 3*m**2 - 3.
(m - 1)*(m + 5)
Suppose -4*b + 2 + 14 = 0. Determine x so that -7740*x**2 + 7743*x**2 - 18*x - x**4 + 18*x**3 - 2*x**b = 0.
-1, 0, 1, 6
Factor -632*k**4 - 884*k**3 - 198*k**3 - 276*k**3 + 68*k**3 - 5*k**5 - 663*k**4.
-5*k**3*(k + 1)*(k + 258)
Let s be 47/12 - (-1)/3. Let a be 7 + (3 - ((-1 - 1)/(64/48) + 10)). Factor a + 7/4*p**2 - s*p.
(p - 2)*(7*p - 3)/4
Let i(a) be the first derivative of 45/2*a + 10*a**2 - 16 - 5/6*a**3. Find k such that i(k) = 0.
-1, 9
Let a(f) be the third derivative of f**7/1260 + 3*f**6/20 + 583*f**5/72 - 3*f**4/4 - 81*f**3 - f**2 + 162*f. Determine i, given that a(i) = 0.
-54, -1, 1
Let p(q) be the first derivative of 1 + 1/48*q**4 - 9*q - 1/6*q**3 + 3/8*q**2. Let m(n) be the first derivative of p(n). Let m(y) = 0. Calculate y.
1, 3
Factor -24*j**3 - 2*j**4 + 466*j**2 - 266*j**2 - 7*j - 13*j - 242*j**2.
-2*j*(j + 1)**2*(j + 10)
Let b(i) be the first derivative of 8 + 4*i**2 - 13/3*i**3 - 3/4*i**4 + 12*i - 1/6*i**6 + i**5. Solve b(t) = 0.
-1, 2, 3
Factor 64438*s**3 - 29*s**2 - 27*s**2 + 2*s**4 + 92*s - 64434*s**3 - 42.
2*(s - 3)*(s - 1)**2*(s + 7)
Let d(h) be the second derivative of 5/4*h**2 + 0 + 85*h + 1/24*h**4 - 1/2*h**3. What is r in d(r) = 0?
1, 5
Let s(g) be the second derivative of -g**4/4 - 4*g**3 + 99*g**2/2 + g + 2261. Solve s(z) = 0 for z.
-11, 3
Factor -1980/7*f - 6/7*f**2 + 3984/7.
-6*(f - 2)*(f + 332)/7
Let d(s) = -s**2 + 3*s - 1. Let h(p) = -13*p**2 - 171*p - 548. Let w(c) = 8*d(c) - h(c). Factor w(t).
5*(t + 3)*(t + 36)
Let x(t) = 4 - 4*t**3 + 0*t**2 - 2*t**2 + 14*t - 11*t. Let l be x(-1). Factor -l - 3*p + 6*p**2 + 2*p - 3*p**4 + 7*p**3 + 2*p**5 - 3*p**5 - 5*p**3.
-(p - 1)**2*(p + 1)**2*(p + 3)
Let t(l) be the second derivative of 3/2*l**3 + l + 1/4*l**4 + 3*l**2 + 33. Factor t(z).
3*(z + 1)*(z + 2)
Let k(q) = 23 - q - 11*q + 10*q. Let h be k(5). Determine m so that 18*m - h*m + 5*m**2 - 5 - 16 - 9 = 0.
-3, 2
Let f(d) be the second derivative of -d**4/12 + 36*d**3 - 5832*d**2 - 1176*d. Factor f(n).
-(n - 108)**2
Let c(l) = 7*l**3 - 2401*l**2 - 290354*l - 849642. Let d(f) = 2*f**3 - f**2 + f + 3. Let w(v) = c(v) - 6*d(v). Factor w(u).
-5*(u + 3)*(u + 238)**2
Let n(r) be the first derivative of 5*r**4/4 + 25*r**3 + 235*r**2/2 + 165*r - 1976. Determine l, given that n(l) = 0.
-11, -3, -1
Suppose 2127 = -42*m + 2253. Find k, given that 5/2*k + 3*k**2 + 0 - 1/2*k**5 - 3*k**4 - 2*k**m = 0.
-5, -1, 0, 1
Find w such that -392 + 39*w**4 - 16895*w**5 - 504*w - 9*w**4 - 22*w**2 + 16897*w**5 + 118*w**3 = 0.
-7, -2, -1, 2
Let v = -23 + 32. Find u such that -52 + v*u - 76*u + 19*u + 4*u**2 = 0.
-1, 13
Let i = 79 + -104. Let q(d) = -55*d**3 + 115*d**2 + 105*d - 65. Let a(l) = -7*l**3 + 14*l**2 + 13*l - 8. Let h(b) = i*a(b) + 3*q(b). Factor h(p).
5*(p - 1)*(p + 1)*(2*p - 1)
Let n(b) = -5*b**3 + b + 1. Let o(w) = -63*w**3 + 3626*w**2 + 1641683*w - 1645285. Let h(z) = -26*n(z) + 2*o(z). Find l, given that h(l) = 0.
-907, 1
Factor -344/7*i**2 - 240/7*i - 18/7*i**4 + 2/7*i**5 + 0 - 156/7*i**3.
2*i*(i - 15)*(i + 2)**3/7
Let m = -15618/11815 + 1164/695. Factor -2/17 - 6/17*w - 2/17*w**3 - m*w**2.
-2*(w + 1)**3/17
Let h be (36/63)/(4/14). Let n be ((-2034)/2373)/(15/(-7)). Solve 1/5*g**3 + 1/5*g - n*g**h + 0 = 0 for g.
0, 1
Suppose 0 = 4*g + 5*p + 71 - 12, -12 = g + 4*p. Let i be ((-9)/12)/(15/g). Factor i*k**2 + 0 - 4/5*k.
4*k*(k - 1)/5
Let h(g) = 3*g - 4. Let x(o) = -58*o**2 + 121*o - 16. Let z(c) = 6*h(c) + 2*x(c). Find r such that z(r) = 0.
7/29, 2
Let x be 14/4 + 3/6 - -1. Solve 0*f - x*f**2 + 6*f**3 - 4*f - 6*f**2 + 4 = 0.
-2/3, 1/2, 2
Let b = -541/96 + 223/32. Find a such that 16/3*a - 4/3*a**3 - 16/3 + b*a**2 = 0.
-2, 1, 2
Let g be (15/6)/((-265)/(-1484)). Suppose -g*t + 2 = 4*k - 15*t, 2*k + 2*t + 4 = 0. Factor -y**2 + k + 0*y - 1/2*y**3.
-y**2*(y + 2)/2
Find o, given that -14460*o**2 + 882*o - 24 + 108*o**3 + 7316*o**2 + 6493*o**2 = 0.
1/36, 2, 4
Factor 96774 + 2/3*o**2 + 508*o.
2*(o + 381)**2/3
Let w(x