+ 5*w**5/14 + 11*w**4/14 - 48*w**3/7 + 2*w**2 + 773*w. Factor x(a).
6*(a - 1)*(a + 2)*(a + 24)/7
Let k(w) be the first derivative of 1/6*w**6 + 1/5*w**5 + 0*w - 16 + 0*w**2 - 1/2*w**4 + 0*w**3. Factor k(s).
s**3*(s - 1)*(s + 2)
Suppose 0*q - 278 = -2*v - q, 3*v + 5*q - 410 = 0. Let u be (-5)/(-20) + 325/v. Factor -2/7*l**5 + 12/7*l**4 + 0*l + 0 - u*l**3 + 0*l**2.
-2*l**3*(l - 3)**2/7
Let x(j) = j**2 - 10*j - 28. Let l be x(12). Let p(n) = -n**4 - n**3 - n - 1. Let q(w) = 6*w**4 - 6*w**2 + 4*w + 4. Let f(v) = l*p(v) - q(v). Factor f(u).
-2*u**2*(u - 3)*(u + 1)
Let w(p) = -4*p**3 - 2*p**2 - 12*p + 7. Let c(d) = d**2 - d + 1. Let h(z) = 35*c(z) - 5*w(z). Solve h(r) = 0.
-5/4, -1, 0
Let a be -10 + 1 + 1 - (-9 + 1). Let t(j) be the third derivative of 5/6*j**3 + 0*j + 0*j**4 - 14*j**2 - 1/12*j**5 + a. Suppose t(f) = 0. Calculate f.
-1, 1
Let v(m) = 3*m**2 - 5186*m - 4. Let t(b) = b**2 - 2*b + 2. Let d(i) = 2*t(i) + v(i). Factor d(a).
5*a*(a - 1038)
What is a in -4/7*a**4 + 130/7*a**2 + 82/7*a**3 + 44/7*a + 0 = 0?
-1, -1/2, 0, 22
Let i(g) = g + 48. Let p be i(21). Let w = 72 - p. Factor -4*a**2 + 6*a - 13*a**w + 18*a**3 - 7*a**3.
-2*a*(a - 1)*(a + 3)
Suppose 0 = 2*i - o - 2, 4*i - 5*o + 4 + 4 = 0. Let -6*t**i + 7*t**2 + 21*t**3 - 2*t**2 + 0*t**5 + 5*t**5 + 15*t**4 = 0. Calculate t.
-1, 0
Find o such that -5*o**2 - 3*o**2 - 2*o**2 - o**2 + 4100*o + 16*o**2 = 0.
-820, 0
Let r(i) be the first derivative of i**3/6 - 736*i**2 + 1083392*i - 2126. Factor r(b).
(b - 1472)**2/2
Let y(n) be the second derivative of n**7/16 + 23*n**6/80 + 81*n**5/160 + 13*n**4/32 + n**3/8 + 731*n. Factor y(l).
3*l*(l + 1)**3*(7*l + 2)/8
Let o = 595 - 578. Factor 14 - 15*z**2 + o*z**3 - 12*z**3 + 6.
5*(z - 2)**2*(z + 1)
Let h = -640 - -645. Let d(t) = 20*t**3 + 148*t**2 + 228*t + 60. Let s(w) = 8*w**3 + 59*w**2 + 91*w + 25. Let j(z) = h*d(z) - 12*s(z). Factor j(x).
4*x*(x + 2)*(x + 6)
Let w(c) be the third derivative of c**8/12096 - c**7/504 - c**6/27 - 41*c**5/20 - 169*c**2. Let g(h) be the third derivative of w(h). Factor g(v).
5*(v - 8)*(v + 2)/3
Suppose -2*m = -49*m. Let w(y) be the second derivative of m*y**2 + 14*y + 1/21*y**3 + 0 + 1/6*y**4 + 3/35*y**6 + 3/14*y**5. Factor w(k).
2*k*(k + 1)*(3*k + 1)**2/7
Let u(r) = 15*r**3 - 28*r**2 - 236*r - 576. Let z(y) = 4*y**3 + y. Let g(l) = u(l) - 4*z(l). Factor g(k).
-(k + 4)*(k + 12)**2
Let t(i) be the first derivative of -i**3 + 9*i**2/2 - 6*i - 45. Solve t(y) = 0 for y.
1, 2
Let d be (-9)/1 - 22*((-159)/6 + 26). Find c, given that 28/3 - 82/9*c - 2/9*c**d = 0.
-42, 1
Determine a, given that -138/17*a - 76/17*a**2 + 216/17 - 2/17*a**3 = 0.
-36, -3, 1
Solve 28*d**2 + 5*d + 916487 - d - 152*d**2 - 4*d**3 + 4*d**4 - 916367 = 0.
-5, -1, 1, 6
Let y = -276 + 201. Let u be ((-80)/(-48))/((y/18)/(-5)). Factor -2/11 - 5/11*m - 9/11*m**3 + 16/11*m**u.
-(m - 1)**2*(9*m + 2)/11
Let o(n) be the second derivative of n**7/840 + n**6/54 + n**5/30 + 137*n**3/6 - 3*n + 19. Let q(u) be the second derivative of o(u). Find h such that q(h) = 0.
-6, -2/3, 0
Suppose -11*r + 72 + 82 = 0. Suppose -9*x + 13 = -r. What is s in -18*s**x - 39*s**2 - 10*s - 11*s - 11*s - 9*s**2 - 2*s**4 = 0?
-4, -1, 0
Let l(m) be the first derivative of -1/120*m**4 - 4*m**2 + 11 + 1/600*m**6 + 0*m**3 + 0*m + 0*m**5. Let b(z) be the second derivative of l(z). Factor b(v).
v*(v - 1)*(v + 1)/5
Let b(z) be the third derivative of z**7/525 - 11*z**6/300 + 7*z**5/25 - 17*z**4/15 + 8*z**3/3 + 302*z**2. Find s, given that b(s) = 0.
2, 5
Let y = 18/247 + 105927/494. Let p = 1289/6 - y. Factor 3 - 2*x + p*x**2.
(x - 3)**2/3
Suppose 29*m = 16*m + 585. Suppose -100 + m = -11*c. Factor 8/3*z**4 + 11/6*z**2 + 0 + 6*z**3 + 1/6*z - 32/3*z**c.
-z*(z - 1)*(4*z + 1)**3/6
Suppose 0 = 600*f + 2226 - 9426. Let f*q**2 - 16/3 + 8*q + 10/3*q**3 = 0. Calculate q.
-2, 2/5
Let t(x) = -x**3 + 28 + 7 - 14 + 10 - 10*x - 9*x**2. Let d be t(-7). Factor 2/11*h**d + 4/11 - 10/11*h + 6/11*h**2 - 2/11*h**4.
-2*(h - 1)**3*(h + 2)/11
Let d be 2/(-5) + (-196)/35. Let t(j) = 11*j**3 + 26*j**2 - 11*j - 14. Let p(m) = -m**3 - m**2 + m - 1. Let g(q) = d*p(q) - t(q). Determine b so that g(b) = 0.
-4, -1, 1
Let g(s) be the first derivative of -3*s**4 + 44*s**3/3 - 69*s**2/2 + 35*s + 11. Let h(x) = x**4 + x**3 - x**2 + 1. Let j(a) = 2*g(a) + 2*h(a). Factor j(t).
2*(t - 4)*(t - 3)**2*(t - 1)
Find k, given that -72/7*k**4 + 2424/7*k**2 + 249/7*k**3 - 336 + 3/7*k**5 - 36*k = 0.
-4, -1, 1, 14
Let g(c) = 965*c**2 + 5125*c + 410. Let s(i) = 80*i**2 + 427*i + 34. Let u(a) = 2*g(a) - 25*s(a). Factor u(m).
-5*(m + 6)*(14*m + 1)
Suppose -4*q + 18 = 2*q. Suppose q*z - 48 = -3*z. Let -4*u**4 + 2*u**4 + 4*u**3 + 32*u**2 - 7 - z*u - 1 - 26*u**2 = 0. What is u?
-1, 2
Let o = 1406269 + -4218797/3. Factor 1/3*y**3 - 15/2 + 1/6*y**4 - 11*y - o*y**2.
(y - 5)*(y + 1)*(y + 3)**2/6
Let r(u) = 98*u + 38 + 11 + 21 + 8*u**2. Let i(k) = 52*k**2 + 636*k + 456. Let p(o) = 5*i(o) - 32*r(o). Factor p(w).
4*(w + 1)*(w + 10)
Let z(f) be the third derivative of f**8/168 + 2*f**7/35 + f**6/15 - f**5/5 - 5*f**4/12 + 740*f**2. Factor z(s).
2*s*(s - 1)*(s + 1)**2*(s + 5)
Let d be (75/6)/((-1)/(-4)). Let o be (-10)/d + (-36)/(-5). Find j such that -80*j**2 + o*j + 36*j**4 + 9*j + 20*j**3 + 8*j**3 = 0.
-2, 0, 2/9, 1
Factor 130/21*j + 64/21 + 68/21*j**2 + 2/21*j**3.
2*(j + 1)**2*(j + 32)/21
Let y(c) be the first derivative of c**4/28 + 59*c**3/21 + 29*c**2/7 - 5672. Factor y(u).
u*(u + 1)*(u + 58)/7
Let x(o) be the third derivative of -o**5/180 + 41*o**4/36 + 85*o**3/6 - 16*o**2 - 167*o. Factor x(a).
-(a - 85)*(a + 3)/3
Factor 44/5 + 12/5*b**2 + 166/15*b + 2/15*b**3.
2*(b + 1)*(b + 6)*(b + 11)/15
Let n be (-5)/(-4) + 6/8. Let m be (-155)/93 - (-14)/3. Factor 9*l - 3*l**m + 0*l**n - l - 4*l**2 - l**3.
-4*l*(l - 1)*(l + 2)
Let d be (((-16)/(-24))/(-1))/((80/(-45))/8). Let v(s) be the third derivative of 0*s + 1/180*s**5 + 0 + 27*s**2 + 1/6*s**d - 1/18*s**4. Factor v(a).
(a - 3)*(a - 1)/3
Let f(c) = 15*c**2 + 30*c + 72. Let o(s) = -7*s**2 + 2*s - 11*s - 36 - 7*s. Let v(a) = -4*f(a) - 9*o(a). Let v(u) = 0. What is u?
-6, -2
Find u such that -276 - 29*u - 36*u**2 - 5*u**2 - 38*u - 14*u + 38*u**2 = 0.
-23, -4
Let b(f) be the first derivative of 2*f**5 + 78 - 8*f**3 + 11/2*f**4 + 32*f - 20*f**2. Let b(a) = 0. What is a?
-2, 4/5, 1
Let y(i) be the second derivative of -i**5/70 + 3*i**4/14 + 27*i**3/7 - 729*i**2/7 - 352*i - 1. Solve y(k) = 0.
-9, 9
Let o(v) = -8*v**4 + 139*v**3 + 253*v**2 - 134*v - 250. Let u(n) = -19*n**4 + 347*n**3 + 633*n**2 - 335*n - 626. Let f(l) = 12*o(l) - 5*u(l). Solve f(c) = 0.
-65, -2, -1, 1
Factor -50/13*l + 0 - 2/13*l**3 - 4*l**2.
-2*l*(l + 1)*(l + 25)/13
Let g(b) be the second derivative of -b**4/18 - 568*b**3/9 + 2*b + 80. Factor g(i).
-2*i*(i + 568)/3
Let z = -17 - -52/3. Let j = 3/232210 - -2322091/696630. Solve -z*f**2 + j*f - 25/3 = 0.
5
Let g(f) be the first derivative of -16 + 0*f - 5/2*f**4 + 0*f**2 - f**5 - 5/3*f**3. Let g(r) = 0. What is r?
-1, 0
Suppose 6*t = 24 - 0. Factor -v**3 + 20 - 14 + 38*v + t*v**2 - 27*v.
-(v - 6)*(v + 1)**2
Let p = 6695 - 33472/5. Factor 48/5*u + 192/5 + p*u**2.
3*(u + 8)**2/5
Let c be 14/28*-33 - -17. Let j(z) be the first derivative of -8/3*z**3 + c*z**4 + 28 + 4*z**2 + 0*z. Factor j(w).
2*w*(w - 2)**2
Let b(t) be the second derivative of t**4/32 - 21*t**3/8 - 2206*t. Factor b(w).
3*w*(w - 42)/8
Let t(j) = 7*j**3 + 21*j**2 - 44*j - 54. Let u(h) = 20*h**3 + 65*h**2 - 132*h - 163. Let f(y) = 14*t(y) - 4*u(y). Factor f(r).
2*(r - 2)*(r + 1)*(9*r + 26)
Let f = -286975 - -2008829/7. Solve 3/7 + 1/7*d**2 - f*d = 0 for d.
1, 3
Let 328 + 163*o - 39 + 1061*o - 16*o**4 + 220*o**3 + 1143*o**2 + 11*o**4 + 17*o**4 = 0. Calculate o.
-17/2, -1, -1/3
Let t(n) be the second derivative of -n**6/6 + 6*n**5 - 135*n**4/4 + 35*n**3/3 + 300*n**2 + 256*n + 5. Solve t(o) = 0 for o.
-1, 2, 3, 20
Factor -6759*p + 20798 + 155*p**3 - 8800*p - 5*p**4 - 63118 - 4565*p**2 - 9281*p - 425*p**3.
-5*(p + 4)**2*(p + 23)**2
Let k(g) be the second derivative of 0 + 70*g + 5/12*g**4 + 4205/2*g**2 - 145/3*g**3. Factor k(j).
5*(j - 29)**2
Suppose -662 - 248 = -7*a. Let b = a + -127. Factor 179 + 24*z + z**2 - 215 - 3*z**b + 2*z**2.
-3*(z - 2)**2*(z + 3)
Suppose 15 = 2*h - 5. Suppose h*k = 5*k. Factor k + 0*m + 35/3*m**3 + 10/3*m**2.
5*m