*3 - 18*c - 1/2*c**2 - 1/24*c**6. Let n(f) be the first derivative of r(f). Factor n(y).
-5*y**2*(y + 4)
Let y(x) = -6*x**2 - x + 2. Let k be y(1). Let a(m) = -m**2 - 5*m + 2. Let p be a(k). Determine f so that -153*f**2 - 153*f**2 + 303*f**p + 12*f = 0.
0, 4
Suppose 0*j - 4*j = -8. Suppose -5*k - 2*s - 3*s - 10 = 0, -2*k - s = 0. Factor -26*c**3 - 9*c**k + 13*c**4 + c**4 + 11*c**2 + 2 - 3*c**5 + 22*c**j - 11*c.
-(c - 1)**4*(3*c - 2)
Let -1/4*x**2 + 268*x + 0 = 0. Calculate x.
0, 1072
Let h(z) be the third derivative of -z**8/1680 + z**6/120 - z**5/60 + z**3 - 26*z**2. Let u(c) be the first derivative of h(c). Suppose u(k) = 0. Calculate k.
-2, 0, 1
Find w, given that -500720718*w**3 - 2291628*w**2 - 16/9 - 3496*w = 0.
-2/1311
Suppose -2160*p - 397*p + 5114 = 0. Factor -112/5*x - 26/5*x**p - 2/5*x**3 - 32.
-2*(x + 4)**2*(x + 5)/5
Let x(o) be the third derivative of o**7/14 - 47*o**6/12 + 87*o**5/4 - 425*o**4/12 - 8409*o**2. Suppose x(f) = 0. Calculate f.
0, 1, 2, 85/3
Let f = 43 + -39. Suppose 2*q**3 - 14*q**2 + 0*q**2 + 10 - 5*q + f*q**2 + 3*q**3 = 0. Calculate q.
-1, 1, 2
Suppose -4*i = 8*j - 11*j - 28, 2*j - 28 = -9*i. Let k(c) be the second derivative of 0 + 11/2*c**3 + 3/4*c**i - 6*c**2 + 43*c. Factor k(u).
3*(u + 4)*(3*u - 1)
Suppose 30*l - 59*l + 58 = 0. Let i be ((-36)/45)/((-28)/40). Factor 8/7*k + 2/7*k**l + i.
2*(k + 2)**2/7
Let t(z) be the first derivative of z**6/9 - 2*z**5 + 25*z**4/3 + 40*z**3/3 - 72*z**2 + 11097. What is c in t(c) = 0?
-2, 0, 2, 6, 9
Suppose -5*b - 2*y - 15 = 0, 7*y + 857 = 4*b + 740. Suppose 204/7*u - 360/7 - 16/7*u**2 - 4/7*u**b = 0. What is u?
-10, 3
Let r(x) be the first derivative of x**4/4 - 7*x**3 - 65*x**2 - 2044. Factor r(c).
c*(c - 26)*(c + 5)
Let h(p) be the third derivative of p**8/420 - 2*p**7/35 + 3*p**6/10 - p**5/15 - 11*p**4/5 - 22*p**2 - 16*p. Find j, given that h(j) = 0.
-1, 0, 2, 3, 11
Let u = -403 - -405. Factor -k - 8*k + u*k**2 - 7*k + 24.
2*(k - 6)*(k - 2)
Factor 2/9*h**2 + 177608/9 + 1192/9*h.
2*(h + 298)**2/9
Let o(w) be the third derivative of 0*w - 5/14*w**3 + 45*w**2 + 0 - 1/140*w**5 + 3/28*w**4. Suppose o(y) = 0. Calculate y.
1, 5
Let o(c) be the first derivative of 2*c**3/3 - 179*c**2 + 472. Determine r so that o(r) = 0.
0, 179
Let i(s) = 13*s**2 + 415*s - 4197. Let z be i(-40). Factor 1/2*c**4 - z + 5/2*c**2 - 7/2*c**3 + 7/2*c.
(c - 6)*(c - 1)**2*(c + 1)/2
Let r(m) be the second derivative of -25*m**7/42 - 884*m**6/3 - 157697*m**5/4 - 620395*m**4/6 - 75680*m**3/3 + 154880*m**2 + 481*m. Find c, given that r(c) = 0.
-176, -1, 2/5
Let j = 35 - 26. Let 3 - 37*b**2 + 23*b**3 + 11*b**2 + 13*b**3 - 4*b - j*b**4 = 0. What is b?
-1/3, 1/3, 1, 3
Suppose -4*x + 284 = -4*p, 36*x + 16 = 32*x. Let w be 3*20/(-18)*45/p. Solve 2/3*q**w - 2/3 + 0*q = 0.
-1, 1
Let m(l) be the third derivative of 0 - 2/7*l**3 + 2/21*l**4 - 1/105*l**5 + 0*l - 191*l**2. Factor m(k).
-4*(k - 3)*(k - 1)/7
Let v(t) = 1498*t + 16480. Let s be v(-11). Suppose 2/3 + 517/6*u**s - 225*u**3 + 50/3*u + 243/2*u**4 = 0. What is u?
-2/27, 1
Let p be (109/109)/((-2)/8*-1). Suppose 25 = 5*b, p*b = 4*r - 0*r + 8. Factor 2/9*d + 0 - 2/9*d**r + 0*d**2.
-2*d*(d - 1)*(d + 1)/9
Let v(l) be the first derivative of -13 + l**4 - 52/3*l**3 + 32*l**2 - 12*l. Let r(s) be the first derivative of v(s). Factor r(k).
4*(k - 8)*(3*k - 2)
Suppose 50*y - 14*y + 16*y = 156. Factor -162/11*v - 36/11*v**2 + 0 - 2/11*v**y.
-2*v*(v + 9)**2/11
Solve -9788/5*q + 4896/5 + 4888/5*q**2 + 4/5*q**3 = 0 for q.
-1224, 1
Suppose -35 = -4*o - 35*c + 30*c, 28 = o + 4*c. Factor 0*x**2 - 1/10*x**3 + 1/10*x + o.
-x*(x - 1)*(x + 1)/10
Let l = 81 - 0. Factor 38*j**3 - 85*j**4 - 77*j + 27*j - 27*j**2 + l*j**4 - 53*j**2.
-2*j*(j - 5)**2*(2*j + 1)
Factor -1/3*h**4 - 21296/3 - 49/3*h**3 - 7139/3*h - 297*h**2.
-(h + 11)**3*(h + 16)/3
Let x(q) = 2*q**4 + q**3 + q**2 + 4. Let v(a) = 7*a**4 - 91*a**3 + 167*a**2 + 261*a + 8. Let z(g) = -v(g) + 2*x(g). Factor z(o).
-3*o*(o - 29)*(o - 3)*(o + 1)
Let n(x) be the third derivative of x**6/360 - 59*x**5/90 + 899*x**4/18 - 3364*x**3/9 - 7*x**2 + 39*x. Factor n(g).
(g - 58)**2*(g - 2)/3
Let b = -17391 + 17411. Let w(m) be the third derivative of 0 - 1/42*m**5 + 1/420*m**6 + 0*m - b*m**2 + 0*m**3 + 1/14*m**4. Factor w(u).
2*u*(u - 3)*(u - 2)/7
Let z(j) = j**3 - 9*j**2 - 653*j + 8792. Let u be z(17). Factor 2/5*w**u + 8/5*w**2 + 2*w + 4/5.
2*(w + 1)**2*(w + 2)/5
Suppose -d + 21 = -5*s, -2*s + 2 = 3*d - 10. Suppose 11*l - d*l = -4*t + 30, 3*l - 31 = -5*t. Suppose -8/3*q - 4/3*q**l + 4 = 0. Calculate q.
-3, 1
Let l = -47 + 49. Suppose l*s + 12 - 22 = 0. Find n, given that -6*n**3 - 30*n**2 - 3*n**s + 24*n**3 - 15 + 9*n**4 - 12 - 63*n = 0.
-1, 3
Let i(y) be the third derivative of 0*y**3 + 0 - 71*y**2 + 0*y + 1/300*y**5 - 1/20*y**4. Let i(t) = 0. Calculate t.
0, 6
Factor 74 + 64*o**2 + 199*o + 52*o**3 + 16*o**3 - 80*o**3 + 37*o + 86.
-4*(o - 8)*(o + 1)*(3*o + 5)
Determine m so that 2584*m + 2*m**2 - 28*m**2 - 476*m - 33*m**2 - 25*m**2 - 200 = 0.
2/21, 25
Let v(r) be the second derivative of 2*r + 6*r**2 - 5/4*r**4 + 1/7*r**7 + 1/10*r**6 - 10 + 4*r**3 - 3/2*r**5. Determine i so that v(i) = 0.
-2, -1, -1/2, 1, 2
Let x(l) be the second derivative of 2*l**5/15 - 13*l**4/18 - 23*l**3/3 + 6*l**2 - 1727*l. Find z such that x(z) = 0.
-3, 1/4, 6
Factor -50562*b - 15900*b**2 + 0 - 3/2*b**4 + 627/2*b**3.
-3*b*(b - 106)**2*(b + 3)/2
Let g(j) be the third derivative of -2*j**7/105 - j**6/5 - j**5/5 + 5*j**4/3 - 359*j**2 + 2*j. Factor g(d).
-4*d*(d - 1)*(d + 2)*(d + 5)
Let y = -795572/13 + 61198. Find h such that -y*h**3 - 54/13*h + 54/13 + 18/13*h**2 = 0.
3
Let k be (-4)/(-8) - ((-330)/24)/55. Solve 0*a**2 - k + 3/2*a**3 + 3/4*a**4 - 3/2*a = 0 for a.
-1, 1
Suppose 21*f = 10*f + 5093. Factor -45*c - c**2 - 30*c - 4*c**2 + 393 - f.
-5*(c + 1)*(c + 14)
Let g = 734289/4 - 183572. Factor 11/4*p - 3/2 - 3/2*p**2 + g*p**3.
(p - 3)*(p - 2)*(p - 1)/4
Let s be ((-183)/24 - (-13 + -3)) + -8. Factor 3/8*q - 3/4 + s*q**2.
3*(q - 1)*(q + 2)/8
Let m(a) = -3*a**2 + 51*a + 180. Let j be m(-3). Let r(o) be the second derivative of 0 - 6*o + j*o**2 - 5/21*o**4 - 1/35*o**5 + 0*o**3. Factor r(q).
-4*q**2*(q + 5)/7
Suppose -248*g**4 - 14884*g**2 - 78510 + 78510 - 68*g**3 + 2*g**5 + 7998*g**3 = 0. Calculate g.
0, 2, 61
Let z(c) = 2*c**2 - c - 13. Let f be z(0). Let w(b) = -b**3 - 13*b**2 - 2*b - 18. Let i be w(f). Factor -11*q - 5*q**2 - i*q + 29*q.
-5*q*(q - 2)
Let z = 14 - 30. Let l(a) = 10*a**2 + 40*a - 2. Let q(y) = -y**2 + 4*y**2 - 1 + 13*y + 0*y. Let g(i) = z*q(i) + 5*l(i). Factor g(v).
2*(v - 3)*(v - 1)
Let f be (1364/(-310))/((-2)/12) - 16/2. Factor -1/5*z**2 - f*z - 2116/5.
-(z + 46)**2/5
Factor -64*p**3 + p**4 + 887*p**2 + 2224 + 3289*p + 2750*p + 1244 + 229*p - 1848*p.
(p - 34)**2*(p + 1)*(p + 3)
Let g = 432 - 426. Let l be 23 - 22 - 2/g. Determine z so that 20/3*z**3 - 10/3*z**4 + 10/3*z - 20/3*z**2 + l*z**5 - 2/3 = 0.
1
Let b be 3/(21/(-28))*(-2 - -1). Determine t so that 66*t**4 + 0*t**b - 8*t**5 - 313*t**3 + 3*t**5 + 64 + 620*t**2 - 432*t = 0.
1/5, 1, 4
Let l(d) = 52*d**2 + 417*d - 11208. Let u(r) = -30*r**2 - 208*r + 5602. Let n(c) = 8*l(c) + 14*u(c). Factor n(t).
-4*(t - 53)**2
Let y(f) be the second derivative of 5*f**7/6 + 299*f**6/6 - 1415*f**5/2 + 8120*f**4/3 - 1360*f**3 + 2877*f. Solve y(g) = 0 for g.
-51, 0, 2/7, 4
Factor 9*c**4 - 228*c - 48*c**3 - 101*c**2 - 11*c**4 + 11*c**2 + 41*c**2 - 153*c**2.
-2*c*(c + 2)*(c + 3)*(c + 19)
Let u(p) be the first derivative of -11 + 27/5*p - 57/10*p**2 + 11/5*p**3 - 3/20*p**4. What is k in u(k) = 0?
1, 9
Factor 790/9*c + 52/9 + 50/3*c**2.
2*(5*c + 26)*(15*c + 1)/9
Let o = -8269/11 + 753. Let f(s) be the first derivative of -o*s**3 - 6/11*s + 17/11*s**2 - 14 - 9/22*s**4. Find u, given that f(u) = 0.
-3, 1/3
Let x(h) be the first derivative of -4*h**5/5 - 464*h**4 + 1876*h**3/3 + 3712*h**2 - 7440*h + 2626. Suppose x(o) = 0. Calculate o.
-465, -2, 1, 2
Suppose 20*r + 118 - 818 = 0. Let d(v) = 8*v**3 - 38*v**2 + 7. Let q(f) = f**3 - 2*f**2 + 1. Let c(k) = r*q(k) - 5*d(k). Determine b, given that c(b) = 0.
0, 24
Let d be 86/645 + (-3)/((-2160)/(-93)). Let j(z) be the third derivative of 0 - 25/24*z**3 + z**2 - 5/48*z**4 + 0*z - d*z**5. Suppose j(t) = 0. Calculate t.
-5
Let f(s) be the third derivative of -5*s**8/21 + 226