*2 - 6653.
2*f*(f - 1)*(f + 57)
Let j(m) be the first derivative of m**4/14 + 18*m**3/7 + 164*m**2/7 + 456*m/7 + 12734. Factor j(z).
2*(z + 2)*(z + 6)*(z + 19)/7
Let d = -1103868/5 - -220777. Factor 17/5*f**2 + 6/5 + 1/5*f**4 - 7/5*f**3 - d*f.
(f - 3)*(f - 2)*(f - 1)**2/5
Let h(z) be the third derivative of z**8/672 - 131*z**7/70 + 153661*z**6/240 + 25807*z**5/10 + 38809*z**4/12 - 87*z**2 - 17. Factor h(p).
p*(p - 394)**2*(p + 1)**2/2
Let x(n) = -n**3 - 2*n**2 - 2*n - 1. Let j(h) = 5*h**5 + 65*h**4 + 223*h**3 + 206*h**2 - 214*h - 327. Let r(s) = j(s) - 7*x(s). Factor r(g).
5*(g - 1)*(g + 2)**3*(g + 8)
Let d be (-5)/((-315)/27) + 36/(-378). Determine z, given that 7/3*z + 0 + 3*z**3 + d*z**4 + 5*z**2 = 0.
-7, -1, 0
Let i(o) be the third derivative of o**6/24 - 19*o**5 + 375*o**4/8 + 1135*o**3/3 + 133*o**2 - o. Factor i(w).
5*(w - 227)*(w - 2)*(w + 1)
Let r = -503870/7 - -71984. Find h such that -r*h**3 + 2/7*h**4 - 6/7 - 25/7*h + 3/7*h**5 - 36/7*h**2 = 0.
-1, -2/3, 3
Suppose 30*x - 4 = 28*x. Factor 36*s**x - 76*s - 4*s**3 - 28*s**2 + 24*s**2 + 48.
-4*(s - 4)*(s - 3)*(s - 1)
Let g(o) = 1173*o**2 - 2016*o + 798. Let i(b) = b**3 + 293*b**2 - 504*b + 200. Let x(s) = 2*g(s) - 9*i(s). Factor x(a).
-3*(a - 1)*(a + 34)*(3*a - 2)
Let i(r) be the second derivative of 1/8*r**5 - 1/2*r**3 + 0 - 1/36*r**6 + 0*r**2 + 14*r - 5/24*r**4. Let m(y) be the second derivative of i(y). Solve m(q) = 0.
1/2, 1
Let s be 1/3 + 1/3. Suppose 321*a = 356*a. Factor a*b**2 + 0 - s*b + 2/3*b**3.
2*b*(b - 1)*(b + 1)/3
Let s(z) be the third derivative of -1/40*z**6 - 9/10*z**5 + 0 - 10*z**3 - 8*z**2 + 39/8*z**4 + 0*z. Factor s(j).
-3*(j - 1)**2*(j + 20)
Let q(n) = 84*n - 364. Let v be q(6). Solve -120*m**2 - 40*m**3 - 574992 + v*m**2 + 26136*m - 416*m**2 + 42*m**3 = 0 for m.
66
Let l = -118 - -120. Factor 29*j + 102*j**2 - 158*j**l + 3*j + 20*j**3.
4*j*(j - 2)*(5*j - 4)
Let u(g) = -g**3 + 9*g**2 + 20*g - 98. Let l be u(10). Find o such that -1315*o**3 - 245*o**5 - 60*o + 217*o**2 - 237*o**l + 1120*o**4 + 520*o**2 = 0.
0, 2/7, 1, 3
Let h be 209/(-22) - 77*16/(-112). Solve -24 - 51/2*p - h*p**2 = 0.
-16, -1
Factor 1400/9*l + 1402/9 - 2/9*l**2.
-2*(l - 701)*(l + 1)/9
Let p be ((-1280)/(-512))/(15/10). Let -p*g**2 + 14/3 - 3*g = 0. Calculate g.
-14/5, 1
Let i = 62279/11 - 5658. Let n = i - 117/55. Determine b so that 2/5*b**2 + 0 - n*b = 0.
0, 4
Factor 19/2*p - 361/2 - 1/8*p**2.
-(p - 38)**2/8
Let k(w) be the second derivative of -w**6/1800 - w**5/200 + w**4/30 + w**3/3 - 38*w**2 + 3*w + 10. Let o(i) be the second derivative of k(i). Factor o(u).
-(u - 1)*(u + 4)/5
Let p(k) be the third derivative of -17*k**6/60 + 37*k**5/60 - k**4/8 - 42*k**2 - 51. Factor p(v).
-v*(v - 1)*(34*v - 3)
Let k(n) = -3*n**3 - 4*n**2 + 17. Let r(z) = 3*z**3 + 5*z**2 - 16. Let w(i) = i**3 - 4*i**2 - i - 16. Let s be w(5). Let a(h) = s*k(h) + 5*r(h). Factor a(g).
3*(g - 1)*(g + 2)**2
Let k(y) = 2*y + 22. Let o be k(-9). Suppose -5*p + 34 = 3*f, 3*f + 5*p = -2*f + 70. Factor -12*d**o - f*d**3 + d**5 + 10*d - d - 12*d**2 - 12*d - 4*d**5.
-3*d*(d + 1)**4
Suppose 7*v + 47 = 145. Suppose 0 = -v*g + 7*g + 35. Factor -g*q**3 + 216*q - 436*q - 15*q**2 + 210*q.
-5*q*(q + 1)*(q + 2)
Let p(r) be the first derivative of -r**3/18 - 1826*r**2/3 - 6668552*r/3 + 15065. Factor p(g).
-(g + 3652)**2/6
Let q(z) be the second derivative of 7*z**6/30 - 2*z**5 + 65*z**4/12 - 10*z**3/3 - 6*z**2 + 934*z + 1. Let q(f) = 0. Calculate f.
-2/7, 1, 2, 3
Find w such that -25 - 2*w**2 + 131 - 28*w + 42 + 62 - 36*w = 0.
-35, 3
Factor 20 + 133*s - 2*s - 31*s + 14*s + 56*s**2 + 448*s.
2*(s + 10)*(28*s + 1)
Let u(n) be the second derivative of 5*n**7/28 - 111*n**6/20 + 1101*n**5/40 + 2791*n**4/8 + 702*n**3 - 507*n**2 + 32*n + 9. Suppose u(m) = 0. Calculate m.
-2, 1/5, 13
Let g(j) be the second derivative of j**7/168 - 7*j**6/120 + 7*j**5/40 - j**4/6 + 353*j. Let g(m) = 0. Calculate m.
0, 1, 2, 4
Let b(x) be the second derivative of -1/16*x**4 + 0 - 15/8*x**2 + 132*x + 3/4*x**3. Factor b(h).
-3*(h - 5)*(h - 1)/4
Let w = 29/6347 + 18983/12694. Factor 0 + 1/2*u**2 + w*u.
u*(u + 3)/2
Let v = -476 - -556. Determine x so that -70*x - 30 + 61*x**3 + 29*x**3 - 45*x + 25*x**5 - v*x**2 + 110*x**4 = 0.
-3, -1, -2/5, 1
What is z in -1/3*z**2 - 118 + 65/3*z = 0?
6, 59
Factor 1/5*s**2 + 2209/5 - 94/5*s.
(s - 47)**2/5
Let u(l) = -7*l**2 + 15106*l + 15492085. Let h(r) = -4*r**2 + 7524*r + 7746042. Let c(y) = -11*h(y) + 6*u(y). Factor c(s).
2*(s + 1968)**2
Suppose 93*n - 328 - 16 + 65 = 0. Let q(v) be the second derivative of -1/48*v**4 + 5/6*v**n + 0 - 14*v - 25/2*v**2. Determine u so that q(u) = 0.
10
Let r(x) be the second derivative of 4*x**5/55 + 23*x**4/66 + 14*x**3/33 + 349*x. Suppose r(a) = 0. Calculate a.
-2, -7/8, 0
Suppose -8*m = 22*m - 90. Find f, given that -f**3 + 0*f**5 - 10*f**3 - 48*f**2 + 36*f + 16*f**4 + 3*f**m + 4*f**5 = 0.
-3, 0, 1
Let j(o) be the second derivative of -o**6/10 + 27*o**5/20 + 45*o**4/4 - 113*o**3/2 + 90*o**2 + 543*o. Factor j(p).
-3*(p - 12)*(p - 1)**2*(p + 5)
Let u(h) be the first derivative of h**5/15 - 133*h**4/6 + 263*h**3/3 + 2*h**2/3 - 1052*h/3 - 1850. Factor u(n).
(n - 263)*(n - 2)**2*(n + 1)/3
Suppose -145*q = -3010 + 2575. Factor 4*s**4 + 28/3*s**q + 2/3*s**5 + 32/3*s**2 + 4/3 + 6*s.
2*(s + 1)**4*(s + 2)/3
Factor 34225/7 + 1/7*v**2 + 370/7*v.
(v + 185)**2/7
Factor 49*d**5 + 0*d**2 - 126*d**4 - 3489*d + 109*d**3 + 3493*d - 36*d**2.
d*(d - 1)**2*(7*d - 2)**2
What is m in -3/5*m**4 + 0*m + 0 + 441/5*m**2 - 438/5*m**3 = 0?
-147, 0, 1
Determine c, given that 19*c + 17*c - 432 + 350 - 12*c + 217 + c**2 = 0.
-15, -9
Let p(q) be the second derivative of q**7/630 + q**6/6 + 15*q**5/2 + 83*q**4/12 + 65*q. Let l(v) be the third derivative of p(v). Factor l(d).
4*(d + 15)**2
Solve -27*v**4 - 60*v**3 - 87*v + 19*v**2 + 239*v**2 - 42*v**3 + 39*v - 81*v**3 = 0 for v.
-8, 0, 2/9, 1
Let w be 6 - (-92)/88 - (-20)/(-8). Let -12/11*q**3 - 45/11*q**2 + 0 - 1/11*q**4 - w*q = 0. Calculate q.
-5, -2, 0
Let m(b) be the second derivative of -2 + 1/15*b**4 - 2*b + 28/5*b**2 - 2*b**3. Factor m(g).
4*(g - 14)*(g - 1)/5
Suppose 16*g - 37 = 43. Suppose -887*q - g*q**4 + 10*q**3 + 10*q**3 + 907*q - 5 - 30*q**2 = 0. Calculate q.
1
Let k(p) be the second derivative of 0*p**2 + 71*p + 25/12*p**4 + 0 + 0*p**3 - 1/4*p**5. Factor k(r).
-5*r**2*(r - 5)
Suppose -424*x = -111*x. Suppose 0 = 5*v, -5*a + v = -5 - 5. Factor 2/9*g**a + x*g + 0.
2*g**2/9
Let u(n) be the second derivative of -n**7/840 - 23*n**6/240 - 11*n**5/20 - 7*n**4/2 + 11*n - 6. Let z(g) be the third derivative of u(g). Factor z(h).
-3*(h + 1)*(h + 22)
Let i(z) be the second derivative of -9/7*z**2 + 3/4*z**4 - 2 + 44*z - 3/35*z**5 + 19/14*z**3. Factor i(k).
-3*(k - 6)*(k + 1)*(4*k - 1)/7
Let j be (14 + 1256/(-88))*(-6)/9. Solve 0*y - 6/11*y**4 + 0 + 6/11*y**3 - 2/11*y**2 + j*y**5 = 0.
0, 1
Let f be ((-3)/(-28))/(1077/(-2872)) + 912/154. Determine v so that -4 - f*v - 16/11*v**2 + 2/11*v**3 = 0.
-2, -1, 11
Suppose 24/7 - 6/7*f**4 - 4*f**3 - 22/7*f**2 + 32/7*f = 0. What is f?
-3, -2, -2/3, 1
Let o(l) be the first derivative of -5*l**4/4 - 590*l**3/3 - 16165*l**2/2 + 74420*l - 3394. Factor o(a).
-5*(a - 4)*(a + 61)**2
Let c = 3169 - 3165. Let o(r) be the second derivative of c*r - 1/2*r**2 - 1/12*r**4 + 1/15*r**6 + 3/20*r**5 - 1/2*r**3 + 0. Solve o(h) = 0.
-1, -1/2, 1
Factor 6/5*a**3 + 702*a - 16224/5 - 252/5*a**2.
6*(a - 16)*(a - 13)**2/5
Let l be 196 + -203 - (-1 - (-10)/3)/(20/(-60)). Let 5/2*m**3 + l - m**2 + 0*m - 2*m**4 + 1/2*m**5 = 0. What is m?
0, 1, 2
Let n = 27435 + -27421. Let i(j) be the first derivative of -169/8*j**4 - 221/6*j**3 - 2*j - n*j**2 - 5. Let i(x) = 0. Calculate x.
-1, -2/13
Factor -8*o + 16*o + 6 - 13*o - 4*o + 0*o + 3*o**2.
3*(o - 2)*(o - 1)
Let i be 32 - (2108/186 - -20). Let x be 3 + 0 + (-1 - 0). Factor 0 - i*b**x - 8/3*b**3 - 14/9*b**4 + 4/9*b.
-2*b*(b + 1)**2*(7*b - 2)/9
Suppose -20*a - 116/3 - 1/3*a**2 = 0. What is a?
-58, -2
Let r be -2 - -1 - (-5 + 4). Suppose r = c - 0*c. Factor -3*s**3 - 5*s - 9*s**2 + 3*s**4 + 6*s - 6 + c + 14*s.
3*(s - 1)**3*(s + 2)
Let b(p) = p**3 - 7*p**2 - 31*p + 12. Let z be b(10). Let 6*l + 0*l**z + 14*l + 2*l - 10*l - 3*l**2 = 0. What is l?
0, 4
Let p be ((-528)/(-160))/33*20. Suppose -20/11 - 2/11*s**p - 2*s = 0. What is s?