x**4 + 76*x - x**4 + x**4 + 19*x**3 + 24.
4*(x + 1)**3*(x + 6)
Let r(n) = -13*n**2 - 31*n - 10. Let y(u) = -15*u**2 - 30*u - 12. Let x(t) = 6*r(t) - 5*y(t). Factor x(m).
-3*m*(m + 12)
Let b(s) = 12*s**2 - 780*s - 23. Let v(h) = -3*h**2 + 192*h + 6. Let z(i) = -6*b(i) - 23*v(i). Find n such that z(n) = 0.
0, 88
Let a be -4 - (90/63 + -2 + (-278)/77). Let 2/11*g**3 + a*g**2 - 2/11*g - 2/11*g**4 + 0 = 0. Calculate g.
-1, 0, 1
Find j, given that 32/21 + 2/21*j**2 - 16/21*j = 0.
4
Let p(i) = -i**2 + 10*i - 3. Let w be p(8). Solve -30*y + 12*y**2 + 10*y**2 + 9 + 18*y**2 - 6*y**3 - w*y**2 = 0 for y.
1/2, 1, 3
Factor -17*f - 13*f**2 + 35*f + 16*f**2 - 72 - 14*f - 19*f.
3*(f - 8)*(f + 3)
Let o(j) be the third derivative of 0 - 49/16*j**3 + 0*j - 1/160*j**5 + 19*j**2 + 7/32*j**4. Find i, given that o(i) = 0.
7
Determine v so that -28/9*v**2 - 2/3 - 2/9*v**5 + 4/3*v**3 + 2/9*v**4 + 22/9*v = 0.
-3, 1
Let s(f) = 11*f**2 + 26*f**2 + 7*f**2 + 98 - 2*f**3 - 138*f. Let i(p) = 7*p**3 - 176*p**2 + 551*p - 391. Let y(x) = 2*i(x) + 9*s(x). Factor y(m).
-4*(m - 5)**2*(m - 1)
Let z(y) be the third derivative of -1/12*y**4 + 1/210*y**7 + 0*y**6 + 23*y**2 + 0 + 0*y**3 + 0*y - 1/20*y**5. Factor z(a).
a*(a - 2)*(a + 1)**2
Let o(g) be the second derivative of g**4/48 + 61*g**3/6 + 3721*g**2/2 + g - 105. Factor o(r).
(r + 122)**2/4
Factor 2/15*c**3 - 2/15*c**2 + 0 + 0*c.
2*c**2*(c - 1)/15
Let u(m) be the second derivative of m**6/80 + 3*m**5/40 - 3*m**4/32 - 7*m**3/8 - 3*m**2/2 + 12*m - 21. Determine y so that u(y) = 0.
-4, -1, 2
Let z(o) be the first derivative of 0*o**2 + 0*o + 45 + 3/4*o**4 - 2*o**3. Let z(q) = 0. What is q?
0, 2
Let g(t) be the first derivative of 9*t**4/16 - 37*t**3/2 + 18*t**2 - 294. Solve g(h) = 0 for h.
0, 2/3, 24
Let u(n) be the first derivative of -n**4/24 - 3*n**3/2 + 19*n**2/4 - 29*n/6 - 383. Factor u(d).
-(d - 1)**2*(d + 29)/6
Let s be 240/(-72) + (-1258)/(-255). Factor -6/5*w**2 + 3*w - 1/5*w**3 - s.
-(w - 1)**2*(w + 8)/5
Let c be 12/(-16) - 39/12 - -9. Let u(j) be the first derivative of 1/2*j**3 - c - 1/8*j**4 - 1/2*j**2 + 0*j. Determine z so that u(z) = 0.
0, 1, 2
Let u(c) = -2*c**2 + 20*c + 1. Let j be u(10). Let f be j/9 - (-221)/117. Determine z, given that 33/4*z**4 - 3 + 27/4*z**3 - 9*z - 21/4*z**f + 9/4*z**5 = 0.
-2, -1, -2/3, 1
Let y(z) = -z**2 - 5*z - 6. Let q be y(-3). Suppose q*o - o = -3. Factor 1/3 + u**2 - u - 1/3*u**o.
-(u - 1)**3/3
Let q = -806993/1197 - -12750/19. Let u = q + 25/7. Solve -u*l**4 + 2*l + 2*l**3 - 28/9*l**2 - 4/9 = 0.
1/2, 1, 2
Let s(u) be the first derivative of -1/15*u**5 + 1/12*u**4 - 1/18*u**6 + 0*u + 0*u**2 - 33 + 1/9*u**3. Let s(j) = 0. What is j?
-1, 0, 1
Let x(i) be the third derivative of -i**5/330 + 5*i**4/44 + 54*i**2. Solve x(f) = 0.
0, 15
Find l such that 0 + 4/15*l**3 + 14/15*l**4 - 14/15*l**2 - 4/15*l = 0.
-1, -2/7, 0, 1
Let c(q) be the third derivative of -q**6/360 - q**5/40 + q**4/6 - 8*q**3/3 + 3*q**2. Let f(v) be the first derivative of c(v). Factor f(d).
-(d - 1)*(d + 4)
Factor -238*p**3 + 49*p**2 - 339*p**3 + 469*p**3 + 179*p**2 + 48 + 272*p.
-4*(p - 3)*(3*p + 2)*(9*p + 2)
Let q = -11 - -66. Let n = -55 + q. Suppose n + 6/11*j**4 - 8/11*j**3 + 0*j + 2/11*j**2 = 0. Calculate j.
0, 1/3, 1
Let z(i) be the second derivative of i**8/3360 + i**7/420 + i**4/3 - 8*i. Let s(o) be the third derivative of z(o). Factor s(b).
2*b**2*(b + 3)
Let i(p) be the first derivative of -p**5/20 - p**4/4 + 5*p**2/2 + 25. Let l(u) be the second derivative of i(u). Find r such that l(r) = 0.
-2, 0
Let k(w) be the second derivative of w**6/105 - 9*w**5/70 + 5*w**4/14 - w**3/3 - w - 64. Factor k(r).
2*r*(r - 7)*(r - 1)**2/7
Factor 2/13*j**2 + 92/13*j + 1058/13.
2*(j + 23)**2/13
Suppose 4*z - 3*z = -12. Let a be (-60)/z + 2 + 0. Let x(k) = -3*k**2 + 4*k + 2. Let c(t) = 5*t**2 - 8*t - 4. Let v(h) = a*x(h) + 3*c(h). Factor v(l).
-2*(l - 1)*(3*l + 1)
Suppose 0 = -0*v - 3*v. Let k = 993/2 - 495. Solve k*b**2 + v + b = 0.
-2/3, 0
Suppose -3*d + 90 = 135. Let y be ((-18)/(-24))/(d/(-12)). What is c in -3/5*c**4 + 0 + 0*c - y*c**2 - 6/5*c**3 = 0?
-1, 0
Suppose 15*a = 12*a + 2*w + 4, 5*a - 9 = w. Factor 7/2*m**a - 9/2*m + 1.
(m - 1)*(7*m - 2)/2
Let q = -1295994518/759 - -1707503. Let z = q - 2/253. Factor 0 - z*m - 1/3*m**2.
-m*(m + 1)/3
Let v(n) = 2*n**2 + 3*n**2 - 3*n**2 + 13 - 23*n + 2*n**2. Let o(z) = 4*z**2 - 24*z + 12. Let f(s) = -3*o(s) + 4*v(s). Factor f(j).
4*(j - 4)*(j - 1)
Let b(u) = 2*u**3 - u**2 - 2*u + 1. Let k(y) = y**3 + y**2 + y + 1. Let c(z) = -2*z - 12. Let t be c(-5). Let l(o) = t*b(o) + 6*k(o). Solve l(h) = 0 for h.
-2, -1
Factor 131072/5 - 128/5*j**3 + 2/5*j**4 + 3072/5*j**2 - 32768/5*j.
2*(j - 16)**4/5
Let o(g) be the first derivative of g**5/5 + 13*g**4/2 + 109*g**3/3 - 390*g**2 + 900*g + 16. Factor o(u).
(u - 2)**2*(u + 15)**2
Let n = -18 - -20. Suppose -n = -b + 2. Factor -7*g**4 + g**5 - 8*g**b + 14*g**4.
g**4*(g - 1)
Solve 6*s + 18*s + 109 + 19*s - 15*s**3 - 29 + 17*s - 20*s**2 = 0.
-2, -4/3, 2
Let o = -28 - -30. Factor 4*c + 2*c - 7*c**3 - 3*c**2 - o*c**3 + 3*c**4 - c**5 + 4*c**5.
3*c*(c - 1)**2*(c + 1)*(c + 2)
Suppose -2*k + 0*l = -3*l - 3, 0 = 5*k - l - 14. Suppose -2*g + 34 = 2*q, 5*q + k*g - 3 = 92. Suppose 50*b - q*b - 19*b + 3*b**2 = 0. Calculate b.
-3, 0
Suppose -2/9*x**2 - 34/9*x - 20/3 = 0. What is x?
-15, -2
Let g(r) be the second derivative of -1/160*r**5 + 0*r**2 - 7/96*r**4 + 0*r**3 + 0 + 43*r. Factor g(j).
-j**2*(j + 7)/8
Let r = 741 - 739. Let q(h) be the first derivative of -2/5*h**5 - 2 + 2/3*h**3 + 0*h**4 + 0*h**r + 0*h. Let q(s) = 0. Calculate s.
-1, 0, 1
Suppose a + 3*i - 19 + 8 = 0, -5*a - 5 = 3*i. Let g be ((-28)/(-8) + a)*-10. Suppose -5*x**2 - g*x**3 + 6*x**2 - 2*x + 9*x**2 - 3*x = 0. Calculate x.
0, 1
Let i = 2/109 - -8/11445. Let q(m) be the third derivative of i*m**7 - 3*m**2 + 0*m**5 + 0*m**4 + 0 + 0*m + 0*m**3 - 1/30*m**6 - 1/336*m**8. Solve q(l) = 0.
0, 2
Factor -4*z - 4*z**5 - 1754*z**3 + 0*z**5 - 1757*z**3 + 3519*z**3.
-4*z*(z - 1)**2*(z + 1)**2
Let v(w) be the third derivative of 5*w**7/42 + 7*w**6/24 - 19*w**5/6 - 95*w**4/6 - 20*w**3 - 214*w**2. Factor v(p).
5*(p - 3)*(p + 2)**2*(5*p + 2)
Let i(k) = -k - 6. Let n be i(0). Let d = 10 + n. Let z(h) = -h - 1. Let b(g) = -g**3 + g - 4. Let t(u) = d*z(u) - 2*b(u). Determine o, given that t(o) = 0.
-2, 1
Let f(m) be the first derivative of -2*m**5/35 + 2*m**4/7 + 50*m**3/21 - 4*m**2 + 545. Factor f(q).
-2*q*(q - 7)*(q - 1)*(q + 4)/7
Suppose -5/6*k**2 - 129605/6 - 805/3*k = 0. What is k?
-161
Let x(l) be the first derivative of -10 + 0*l - 7/16*l**4 - 3/4*l**3 - 1/4*l**2. Factor x(b).
-b*(b + 1)*(7*b + 2)/4
Let g(u) = 12*u - 120. Let y be g(10). Factor y*k + 0 + 1/5*k**2.
k**2/5
Let q(d) be the first derivative of 2*d**3/3 - 30*d**2 + 112*d + 135. Let q(v) = 0. Calculate v.
2, 28
Let m be (-11 + 10)/((-9)/18). Solve -2 + 4/3*y + 2/3*y**m = 0.
-3, 1
Let g(l) = -5*l**2. Let p(c) = -25*c**2 - 2060*c - 212180. Let z(h) = 4*g(h) - p(h). Factor z(x).
5*(x + 206)**2
Let n(f) be the second derivative of -f**6/90 + f**5/30 + 5*f**4/36 - f**3/3 - 8*f + 1. Factor n(m).
-m*(m - 3)*(m - 1)*(m + 2)/3
Let a(j) be the second derivative of -5*j**4/12 - 10*j**3/3 + 28*j. Find q, given that a(q) = 0.
-4, 0
Let g = 4 - 2. Factor -6*b + 4 - g*b - b + 17*b + 4*b**2.
4*(b + 1)**2
Let b(m) be the third derivative of 3*m**8/560 - m**7/175 - 3*m**6/40 + m**5/10 + 3*m**4/10 - 4*m**3/5 + 53*m**2. Find q, given that b(q) = 0.
-2, -1, 2/3, 1, 2
Let d(i) = 2*i**2 - 387*i**3 + i - 3*i**2 + 386*i**3. Let l be d(0). Let 8/5*v**2 + l - 8/5*v - 2/5*v**3 = 0. What is v?
0, 2
Let l(k) be the third derivative of -k**6/120 - 7*k**5/30 + k**4/24 + 7*k**3/3 + 111*k**2. Factor l(b).
-(b - 1)*(b + 1)*(b + 14)
Let r = 343 + -338. Let p(g) be the third derivative of -1/2*g**3 + 1/6*g**4 - 5*g**2 + 0 + 0*g - 1/60*g**r. What is i in p(i) = 0?
1, 3
Let l(j) be the third derivative of -19*j**7/1470 + j**6/21 - 23*j**5/420 + j**4/84 - 20*j**2 + 20. Factor l(x).
-x*(x - 1)**2*(19*x - 2)/7
Let a(j) be the third derivative of -j**7/630 + 13*j**6/180 - 169*j**5/180 - 4*j**2 + 18*j. Factor a(c).
-c**2*(c - 13)**2/3
Suppose 13*j = 10*j - 6. Let q be (12/(-18))/((3/j)/3). Factor -8/3*x + q - 5/3*x**2.
-(x + 2)*(5*x - 2)/3
Let c(l) be the first derivative of 1/2*l**4 - l 