 = -481 - z**3 - 3*z + 481. Let m(x) = 3*b(x) - 2*g(x). Find h such that m(h) = 0.
0, 1
Let j(z) = 25*z + 10. Let u(t) = t + t**2 + t**2 - t**2. Let d(x) = j(x) + 20*u(x). Factor d(q).
5*(q + 2)*(4*q + 1)
Let b be (2 - (-67)/(-30))*192/(-4480). Let q(z) be the third derivative of b*z**6 + 0*z**4 + 1/350*z**7 + 9*z**2 + 0*z**5 + 0*z + 0*z**3 + 0. Factor q(a).
3*a**3*(a + 2)/5
Factor -8/7*d**3 + 0*d + 0 - 8/7*d**4 - 2/7*d**5 + 0*d**2.
-2*d**3*(d + 2)**2/7
Let y(t) be the second derivative of -3*t**5/80 + 3*t**3/2 + 6*t**2 + 2*t - 79. Factor y(v).
-3*(v - 4)*(v + 2)**2/4
Let x(t) be the first derivative of -1/30*t**5 - 11 + 0*t - 1/18*t**3 + 0*t**2 - 1/12*t**4. What is m in x(m) = 0?
-1, 0
Let f(l) be the first derivative of 0*l**2 + 0*l**3 - 1 + 0*l**4 - l - 1/45*l**6 - 1/30*l**5. Let w(a) be the first derivative of f(a). Solve w(z) = 0 for z.
-1, 0
Let h(x) be the first derivative of 0*x + 5/12*x**3 + 12 - 15/8*x**2. Determine k so that h(k) = 0.
0, 3
Factor 0*l - 9*l**2 - 12*l - 63 + 0*l + 0*l + 12*l**2.
3*(l - 7)*(l + 3)
Let v be (-3)/6 - 5/(-10). Let x(z) be the second derivative of v*z**2 + 1/12*z**4 - 1/12*z**3 - 3*z + 0. Find p such that x(p) = 0.
0, 1/2
Let c = -195 - -197. Let x be 22/22 - 1/c. Factor -1/6*j**4 + 1/3 + x*j**2 + 5/6*j - 1/6*j**3.
-(j - 2)*(j + 1)**3/6
Let k(r) be the second derivative of r**7/42 + r**6/12 - r**5/4 - 5*r**4/6 + 10*r**3/3 + 8*r**2 - 8*r. Let i(w) be the first derivative of k(w). Factor i(b).
5*(b - 1)**2*(b + 2)**2
Let o = 1365 - 1358. Let z(m) be the third derivative of 1/3192*m**8 + 0*m**o + 1/285*m**5 + 0*m**4 + 0 - 1/380*m**6 + 10*m**2 + 0*m**3 + 0*m. Factor z(g).
2*g**2*(g - 1)**2*(g + 2)/19
Let k(l) = -3025*l**3 + 10285*l**2 - 3470*l + 290. Let t(o) = -178*o**3 + 605*o**2 - 204*o + 17. Let m(b) = -2*k(b) + 35*t(b). Factor m(a).
-5*(a - 3)*(4*a - 1)*(9*a - 1)
Let o(z) be the second derivative of 0*z**3 - 10*z + 1/147*z**7 + 0 + 0*z**2 + 1/21*z**4 - 3/70*z**5 + 0*z**6. Factor o(c).
2*c**2*(c - 1)**2*(c + 2)/7
Factor 4*n**3 + 20*n**5 - 15*n**5 + 6*n**3 - 15*n**4.
5*n**3*(n - 2)*(n - 1)
Let u(x) = x**3 - 10*x**2 + 12*x - 23. Let s be u(9). Suppose 4*r = s*l - 16, 3*r - 2 + 8 = 0. Factor 0*z**l - 2/3*z**3 + 0 + 0*z.
-2*z**3/3
Let c(f) = -3*f - 10. Let t(r) = -r**2 + r + 6. Let a be t(-3). Let o be c(a). Solve -4*d**2 - 3*d**2 - 4 + o*d + 2*d**2 + d**2 = 0.
1
Let z(v) be the third derivative of -v**6/120 - v**5/60 + v**4/24 + v**3/6 + 31*v**2 + 1. Factor z(g).
-(g - 1)*(g + 1)**2
Let j = -2/389 + 1175/1556. Let p(b) be the first derivative of 0*b - j*b**2 - 11 + 1/4*b**3. Solve p(n) = 0.
0, 2
Factor -4*t**2 + 24*t**2 - 18*t**2 - 64 + 5*t - 13*t.
2*(t - 8)*(t + 4)
Suppose b + 14 = 3*b. Let w(q) = -6*q**2 - 7*q + 6*q - 2*q**2 + 4 + 3*q**2. Let s(m) = -2*m**2 + 2. Let x(k) = b*s(k) - 3*w(k). Factor x(l).
(l + 1)*(l + 2)
Let h(y) be the first derivative of y**7/70 - y**6/8 + 9*y**5/20 - 7*y**4/8 + y**3 - 19*y**2/2 + 39. Let m(q) be the second derivative of h(q). Factor m(k).
3*(k - 2)*(k - 1)**3
Let y(b) be the third derivative of b**10/680400 + b**9/272160 - 7*b**5/12 - 21*b**2. Let p(t) be the third derivative of y(t). Factor p(i).
2*i**3*(i + 1)/9
Let n(q) = 2*q**2 - q - 1. Let o(h) = -4*h**2 - 23*h + 63. Let t(u) = -3*n(u) - o(u). Factor t(x).
-2*(x - 10)*(x - 3)
Let h be 0 - (-5 - -2) - -3. Suppose 0 = 3*n + 17*r - 13*r + h, 0 = n - r - 5. Factor x**3 - x + 1/2*x**4 - 1/2*x**n + 0.
x*(x - 1)*(x + 1)*(x + 2)/2
Let s(w) be the third derivative of 0*w + 8*w**2 + 0 - 4/3*w**3 + 1/30*w**5 - 1/120*w**6 + 1/6*w**4. Factor s(g).
-(g - 2)**2*(g + 2)
Suppose -2*x + 42*z + 14 = 43*z, 5 = 5*x - 5*z. Factor 0*s**4 + 0 + 4/3*s**3 - 1/3*s**x + 0*s + 0*s**2.
-s**3*(s - 2)*(s + 2)/3
Let y(c) = -c**2 + 1. Let o(p) = -p**3 + 6*p**2 + 4*p - 9. Let m(k) = 2*o(k) + 10*y(k). Find v, given that m(v) = 0.
-2, 1, 2
Let t(p) be the first derivative of 0*p**5 + 1/39*p**6 + 0*p + 1/13*p**2 + 0*p**3 - 1/13*p**4 + 13. Factor t(c).
2*c*(c - 1)**2*(c + 1)**2/13
Let a(f) be the third derivative of f**8/448 + 31*f**7/280 - 33*f**6/160 - 31*f**5/80 + f**4 + 452*f**2. Let a(l) = 0. What is l?
-32, -1, 0, 1
Let u(c) be the first derivative of 0*c - 3/10*c**2 + 24 + 0*c**5 + 3/10*c**4 - 1/10*c**6 + 0*c**3. Factor u(p).
-3*p*(p - 1)**2*(p + 1)**2/5
Let y(q) = -13*q**4 - 19*q**3 - 21*q**2 + 13*q + 19. Let g(p) = -23*p**4 - 37*p**3 - 39*p**2 + 27*p + 37. Let t(l) = -3*g(l) + 5*y(l). Factor t(a).
4*(a - 1)*(a + 1)*(a + 2)**2
Let r(f) = 7*f**4 - 73*f**3 + f**2 + 61*f + 8. Let j(a) = -17*a**4 + 148*a**3 - a**2 - 121*a - 18. Let i(c) = 4*j(c) + 9*r(c). Solve i(x) = 0.
-13, -1, 0, 1
Determine n, given that 0 + 3/2*n**2 - 9*n**3 + 9*n - 3/2*n**4 = 0.
-6, -1, 0, 1
Let q(t) = -17*t**2 - 435*t + 890. Let l(i) = 40*i**2 + 870*i - 1780. Let a(w) = 2*l(w) + 5*q(w). Find b such that a(b) = 0.
-89, 2
Let b be 63/27 + (-90)/(-81) + (-8)/18. What is c in 0 + 9/7*c - 3/7*c**4 + 3/7*c**2 - 9/7*c**b = 0?
-3, -1, 0, 1
Let j(a) be the third derivative of a**5/270 - 19*a**4/108 + 34*a**3/27 - 124*a**2. Factor j(i).
2*(i - 17)*(i - 2)/9
Let t(a) be the first derivative of -a**7/2100 - a**6/300 - a**5/150 - 7*a**3 + 8. Let k(x) be the third derivative of t(x). Solve k(n) = 0.
-2, -1, 0
Let x = -19923/2 + 9963. Let -5/2*v**2 + 1/2*v**3 + 7/2*v - x = 0. What is v?
1, 3
Let 1/2*b**5 + 151*b**3 - 623/2*b**2 - 225/4 + 465/2*b - 65/4*b**4 = 0. Calculate b.
1/2, 1, 15
Let l(t) = 177*t - 5131. Let o be l(29). Let 1/7*n**3 - 11/7*n - 6/7 - 4/7*n**o = 0. What is n?
-1, 6
Let l(t) be the first derivative of -t**4/16 + 29*t**3/12 - 84. Factor l(g).
-g**2*(g - 29)/4
Let m = 250 - 248. Find o, given that 5/2 + 1/2*o**m - 3*o = 0.
1, 5
Let f = 207 + -117. Factor f - 2*y**2 - 90 - 2*y**3.
-2*y**2*(y + 1)
Let j be 2/(-10) + 4648/40. Factor -64*q - 5*q**3 + 11*q**2 - 72*q + j*q + 9*q**2.
-5*q*(q - 2)**2
Factor -2/3*b + 2/3*b**3 + 14/3 - 14/3*b**2.
2*(b - 7)*(b - 1)*(b + 1)/3
Let u(z) be the third derivative of -z**8/112 + 17*z**7/210 - 7*z**6/120 - 17*z**5/60 + 5*z**4/12 - 563*z**2 + 2. What is h in u(h) = 0?
-1, 0, 2/3, 1, 5
Let x = 1308/11 + -999/22. Determine p, given that -x*p**3 - 132*p + 525/2*p**2 + 18 = 0.
2/7, 3
Let f(x) = x**3 + 28*x**2 - 97*x + 110. Let c(k) = -15*k**3 - 363*k**2 + 1260*k - 1431. Let r(q) = -2*c(q) - 27*f(q). Solve r(n) = 0 for n.
3, 4
Let a = 332 - 2655/8. Solve -a*i**2 - 3/8*i**3 + 1/4*i + 1/8*i**5 + 0 + 1/8*i**4 = 0.
-2, -1, 0, 1
Factor 8776*g - 5*g**3 - 15*g**2 + 2 - 8791*g - 7.
-5*(g + 1)**3
Factor -204/11*f - 2/11*f**2 - 5202/11.
-2*(f + 51)**2/11
Let f(b) be the second derivative of 1/10*b**6 + 0 + 0*b**3 + 0*b**5 - 1/2*b**4 - 7*b + 3/2*b**2. Factor f(k).
3*(k - 1)**2*(k + 1)**2
Let f be ((-5746)/(-289))/(10/1). Let h = f - 10/17. Suppose n**5 - h*n**3 - 3/5*n**2 + 2/5*n + 0 + 3/5*n**4 = 0. Calculate n.
-1, 0, 2/5, 1
Let l(t) be the second derivative of -t**4/12 - 17*t**3/3 - 60*t**2 + 13*t + 9. Factor l(q).
-(q + 4)*(q + 30)
Let z(r) be the third derivative of 3*r**6/8 - 4*r**5 - 175*r**4/24 - 5*r**3 + 92*r**2. Solve z(u) = 0.
-1/3, 6
Suppose 9*k = l + 4*k - 14, -3*k - 39 = -4*l. Suppose 2*p - 55 = -l*p. Find u such that -3/4*u**p + u**3 + 0 + 1/2*u**4 - 1/2*u**2 - 1/4*u = 0.
-1, -1/3, 0, 1
Factor -48/7 - 153/7*l**2 - 3/7*l**4 + 57/7*l**3 + 21*l.
-3*(l - 16)*(l - 1)**3/7
Let 12*p - 8/3*p**4 - 24 + 80/3*p**2 + 4/3*p**5 - 40/3*p**3 = 0. Calculate p.
-3, -1, 1, 2, 3
Let d(c) = 3*c + 42. Let u be d(-16). Let b(x) = -5*x**3 + 8*x**2 + 6. Let m(y) = 4*y**3 - 7*y**2 - 5. Let r(k) = u*m(k) - 5*b(k). Factor r(j).
j**2*(j + 2)
Let z = -519/70 + 115/14. Solve -2/15*d**2 + z - 2/3*d = 0 for d.
-6, 1
Let x(y) be the second derivative of 19*y + 1/10*y**3 + 0 + 1/20*y**4 - 3/5*y**2. Determine s, given that x(s) = 0.
-2, 1
Let t(h) be the third derivative of -8*h**2 + 0*h + 1/1680*h**7 + 1/240*h**6 + 0 + 1/48*h**3 + 1/48*h**4 + 1/80*h**5. Factor t(a).
(a + 1)**4/8
Let r(a) be the second derivative of 2/5*a**2 - 8/15*a**4 - 9/50*a**5 - 1/3*a**3 + 0 - 10*a. Suppose r(s) = 0. Calculate s.
-1, 2/9
Let n = -66 + 69. Solve 3*a**2 + 60*a**n - 57*a**3 - 5*a - a = 0 for a.
-2, 0, 1
Suppose 16 = 4*x - 0. Factor 5/6*f**3 + 2/3*f - 1/6*f**x + 0 - 4/3*f**2.
-f*(f - 2)**2*(f - 1)/6
Let n be 8 - (9/3 - 0). Let c(x) be the second derivative of -1/10*x**n - x**2 - 1/2*x**4 - x**3