74*j**2. Suppose l(n) = 0. Calculate n.
-12, -1
Let f = -24 + 10. Let d = -10 - f. Solve -12*s**d - 3*s - 20*s**2 - s - 34*s**3 + 6*s**3 + 0*s = 0 for s.
-1, -1/3, 0
Suppose t = -g - 4*g - 20, 20 = -4*g. Let a(w) = -w**3 + 6*w**2 - 3*w - 7. Let u be a(t). Factor x + 9*x**2 + 17*x**4 - x**3 - x**4 + 26*x**u - x**3.
x*(x + 1)*(4*x + 1)**2
Let k(z) = z**2 - 1. Let j(p) be the first derivative of -4*p**3/3 + 3*p**2 + 10*p + 5. Let u(v) = j(v) + 6*k(v). Factor u(x).
2*(x + 1)*(x + 2)
Let z = 5/1006 + 10045/3018. Suppose -z*w + 2 - 4/3*w**2 = 0. Calculate w.
-3, 1/2
Let a be (-4 - 81/(-21)) + 58/14. Suppose 12 = -a*v + 24. Let 1/4*u + 1/2*u**2 + 1/4*u**v + 0 = 0. What is u?
-1, 0
Let m(i) = 5*i**3 + 9*i**2 - 9*i - 20. Let l(g) = g**3 + 2*g**2 - 2*g - 5. Let b(a) = 9*l(a) - 2*m(a). Let t(h) be the first derivative of b(h). Solve t(n) = 0.
0
Let h(b) be the third derivative of b**8/1512 - 4*b**7/945 - b**6/108 + 3*b**2 + 3*b. Determine a, given that h(a) = 0.
-1, 0, 5
Let h(p) = 913*p - 3*p**2 - p**2 - 922*p + 7. Let a(j) = j**2 + 2*j - 2. Let f(n) = 18*a(n) + 4*h(n). Factor f(z).
2*(z - 2)*(z + 2)
Let s(l) be the third derivative of l**6/120 - 2*l**5/15 + 2*l**4/3 + 3*l**2 - 14. Suppose s(w) = 0. Calculate w.
0, 4
Let i(x) be the first derivative of 2*x**3/3 - 2*x**2 - 6*x + 46. Let i(m) = 0. Calculate m.
-1, 3
Let f = -12139 - -12139. Solve 1/2*j**2 + 0*j + f + 0*j**3 - 1/2*j**4 = 0.
-1, 0, 1
Suppose 5 = c - 3*x, 0 = -402*x + 406*x + 4. Determine r, given that 6/5*r + 3/5 - 6/5*r**3 - 3/5*r**4 + 0*r**c = 0.
-1, 1
Solve -5*o - o**2 + 9*o + o + 6 - 10*o = 0.
-6, 1
Let l(n) be the second derivative of -1/24*n**4 + 2*n + 1/360*n**6 - 1/3*n**3 + 0*n**2 + 0*n**5 + 0. Let t(z) be the second derivative of l(z). Factor t(u).
(u - 1)*(u + 1)
Let g(c) be the third derivative of c**5/510 - 241*c**4/102 + 58081*c**3/51 + 52*c**2. Factor g(a).
2*(a - 241)**2/17
Let v(g) = -4*g**3 + g**2 - 3*g - 4. Let u be v(-1). Factor 7*w**2 - 4 + 10*w - 5*w**2 + u*w**2.
2*(w + 2)*(3*w - 1)
Let z(t) be the third derivative of -t**6/360 + 11*t**5/90 + 23*t**4/72 + 12*t**2 - 9. Factor z(j).
-j*(j - 23)*(j + 1)/3
What is a in 3*a**4 + 14*a**2 + 48*a - 44*a**2 + 206*a**3 - 227*a**3 = 0?
-2, 0, 1, 8
Let j = 303/2 - 151. Let t(m) be the second derivative of 0 + 2*m - 1/4*m**3 + j*m**2 + 0*m**4 + 1/40*m**5. Factor t(r).
(r - 1)**2*(r + 2)/2
Suppose 8*m + 77 = 301. Suppose m*c - 24 = 20*c. Factor -6 + 6*i + 2/9*i**c - 2*i**2.
2*(i - 3)**3/9
Let h(j) be the third derivative of -j**7/210 + j**6/5 - 18*j**5/5 + 36*j**4 + j**3/2 - 16*j**2. Let l(o) be the first derivative of h(o). Factor l(f).
-4*(f - 6)**3
Let p(z) be the second derivative of -z**4/4 - 10*z**3 - 150*z**2 + 3*z + 55. Factor p(t).
-3*(t + 10)**2
Factor -75*q**2 + 1365/2*q + 5/2*q**3 - 1690.
5*(q - 13)**2*(q - 4)/2
Let v(g) = -4*g**4 + 52*g**3 - 242*g**2 + 296*g - 120. Let w(f) = 7*f**4 - 104*f**3 + 482*f**2 - 592*f + 240. Let z(p) = 11*v(p) + 6*w(p). Factor z(t).
-2*(t - 2)*(t - 1)**2*(t + 30)
Let p be (84/90)/((-4)/3). Let o = -1/5 - p. Determine k, given that -o*k - 1/4*k**2 + 0 = 0.
-2, 0
Let b(v) be the second derivative of -v**5/20 - 7*v**4/12 + 4*v**3/3 + 102*v. Suppose b(i) = 0. What is i?
-8, 0, 1
Let j(v) be the second derivative of -v**4 - 21/80*v**5 + 0*v**2 + 0 - 1/2*v**3 + 2*v. What is g in j(g) = 0?
-2, -2/7, 0
Factor 10/9*d**4 + 8/9*d**3 - 32/9 - 64/9*d + 2/9*d**5 - 32/9*d**2.
2*(d - 2)*(d + 1)*(d + 2)**3/9
Suppose -26/5 + 36*u - 32/5*u**4 - 432/5*u**3 - 194/5*u**2 = 0. Calculate u.
-13, -1, 1/4
Let a(u) be the first derivative of 0*u - 40 - u**2 + 1/3*u**3 - 9/20*u**5 + 9/8*u**4. Let a(s) = 0. Calculate s.
-2/3, 0, 2/3, 2
Let g be (-4)/(-26) + (-222)/(-78). Let t be g + 1 - 1/4. Find f such that -7/4*f**2 - 9/4 + 1/4*f**3 + t*f = 0.
1, 3
Suppose -36 = 1065*y - 1077*y. Suppose 0*k + 1/4*k**y + 0 + 1/4*k**2 = 0. What is k?
-1, 0
Let h = 35 - 23. Let x be (h/18)/((-2)/(-3)) + 2. Factor -1/4 + 1/4*p**2 - 1/4*p + 1/4*p**x.
(p - 1)*(p + 1)**2/4
Let p(q) be the third derivative of -q**5/30 - q**4/48 + q**3/24 + 3*q**2. Factor p(b).
-(2*b + 1)*(4*b - 1)/4
Suppose -19*s - 1414 + 1452 = 0. What is t in 0*t + 3/5*t**4 + 0*t**s + 0 + 3/5*t**3 = 0?
-1, 0
Let i be (-682)/(-165) - (-4)/(-1)*1. Let o(z) be the first derivative of 1 + 1/5*z**2 - 2/5*z + i*z**3 - 1/10*z**4. Factor o(b).
-2*(b - 1)**2*(b + 1)/5
Solve 2*w**4 + 420*w**2 - 441*w - 38*w**4 + 102*w**5 - 99*w**5 + 54*w**3 = 0 for w.
-3, 0, 1, 7
Let m(f) = 3 + 2*f + 0*f - 2*f + f. Let n be m(0). Suppose 2*u**n - 4*u**2 + 8*u**2 - 6*u**2 = 0. What is u?
0, 1
Let n(r) = -7*r + 311. Let p be n(44). Factor -2*h - 1/3*h**2 - p.
-(h + 3)**2/3
Let h(q) = 2. Suppose 8 = -3*m + 5*m. Let i(g) = g**2 + 7. Let t(a) = m*i(a) - 14*h(a). Find u such that t(u) = 0.
0
Let z be -2 - (-1 + -9) - (12 + -10). Let h(t) be the first derivative of t**2 + 2/3*t**3 - 2*t - z - 1/2*t**4. Factor h(n).
-2*(n - 1)**2*(n + 1)
Let -5*q**2 - 1/2*q + 1/2*q**3 + 5 = 0. What is q?
-1, 1, 10
Let y = -12112 + 12114. Factor -4/7*p**y - 8/21*p**3 - 8/21*p - 2/21 - 2/21*p**4.
-2*(p + 1)**4/21
Let y(t) be the first derivative of t**5/4 + 5*t**4/4 - 10*t**2 + 40*t + 19. Let q(l) be the first derivative of y(l). Solve q(x) = 0 for x.
-2, 1
Let s(d) be the first derivative of 1/20*d**5 - 3/16*d**4 - 1/8*d**2 + 21 + 1/4*d**3 + 0*d. Factor s(k).
k*(k - 1)**3/4
Let n(t) = 4*t**2 - 264*t - 186. Let o(q) = 19*q**2 - 1319*q - 933. Let j(y) = -11*n(y) + 2*o(y). Let j(p) = 0. Calculate p.
-2/3, 45
Let y(n) be the second derivative of -841*n**4/66 - 58*n**3/11 - 9*n**2/11 + 4*n + 1. Factor y(r).
-2*(29*r + 3)**2/11
Let m(n) be the second derivative of 5*n**4/12 - 25*n**3/3 + 125*n**2/2 + 16*n + 1. Suppose m(j) = 0. Calculate j.
5
Let j be (3/(-2))/((-51)/238) - 4. Let w(a) be the first derivative of j + 3/2*a + 3/20*a**5 + 9/4*a**3 - 15/16*a**4 - 21/8*a**2. Factor w(f).
3*(f - 2)*(f - 1)**3/4
Let i(y) be the second derivative of y**7/21 - 2*y**6/15 - 3*y**5/10 + 2*y**4/3 + 4*y**3/3 + 72*y + 2. Factor i(m).
2*m*(m - 2)**2*(m + 1)**2
Factor -45/2 - 5/6*p**2 + 70/3*p.
-5*(p - 27)*(p - 1)/6
Let p = 8 + -5. Suppose -8*j**p + 0*j**3 + 10*j**2 + 2*j**4 + 3*j**4 - 7*j**3 = 0. Calculate j.
0, 1, 2
Let n(k) be the first derivative of -k**7/4620 + k**6/660 - k**4/33 + 8*k**3/3 - 22. Let s(i) be the third derivative of n(i). Factor s(z).
-2*(z - 2)**2*(z + 1)/11
Suppose -5*q + 9*q = 12, -k + 4*q - 8 = 0. Let t(d) be the second derivative of 0 + 1/24*d**k + 5*d + 9/4*d**2 - 1/2*d**3. Suppose t(w) = 0. Calculate w.
3
Let p(l) = 3*l**2 - 2*l + 2. Let z be p(1). Let f(h) = -2*h + 8. Let u be f(z). Find i such that 0 - 4/5*i - 2/5*i**u = 0.
-2, 0
Let v = 12 + -31. Let k = v - -26. Solve k*t**3 - 24*t + 4 - 2 + 9*t**2 - t**3 + 10 - 3*t**4 = 0 for t.
-2, 1, 2
Let o(z) = 3*z - 37. Let f be o(13). Determine h, given that -f*h**3 + 3*h + 4*h**3 - 5*h**3 = 0.
-1, 0, 1
Let s be (0 - -4)/(38 + -36). Determine f, given that 38/15*f - 14/15*f**s + 4/5 = 0.
-2/7, 3
Let n(x) be the second derivative of -3*x**7/14 - x**6/5 + 27*x**5/20 + 3*x**4 + 2*x**3 + 3*x + 25. Suppose n(q) = 0. What is q?
-1, -2/3, 0, 2
Let b(x) be the first derivative of x**6/9 + 2*x**5/5 + x**4/3 + 102. Solve b(t) = 0.
-2, -1, 0
Let a(y) be the third derivative of -y**6/360 + 13*y**5/180 - 5*y**4/36 - 4*y**3/3 + 3*y**2 + 42*y. Find c, given that a(c) = 0.
-1, 2, 12
Let z(h) be the first derivative of -4*h**3/15 + 22*h**2/5 - 96*h/5 - 391. What is i in z(i) = 0?
3, 8
Let k(x) be the second derivative of -x**7/525 + x**5/150 + x**2/2 - 23*x. Let r(h) be the first derivative of k(h). What is i in r(i) = 0?
-1, 0, 1
Let z be 875/(-20) - (-2)/(-8). Let x be 2 - 52/z - 6/2. Factor 6/11*y**3 - 4/11*y + 0 - x*y**2.
2*y*(y - 1)*(3*y + 2)/11
Solve 16 + 164 + v**2 - 2*v**2 - 72*v - 2*v**2 + 7*v**2 = 0.
3, 15
Let y(o) be the first derivative of -2 + 2/15*o**3 + 0*o + 1/5*o**2. Let y(h) = 0. What is h?
-1, 0
Let f(j) be the second derivative of -j**9/60480 - j**8/13440 + j**7/10080 + j**6/1440 + 2*j**4/3 - 18*j. Let i(n) be the third derivative of f(n). Factor i(g).
-g*(g - 1)*(g + 1)*(g + 2)/4
Solve 5/6*n - 2/3 - 1/6*n**2 = 0 for n.
1, 4
Factor 16*j + 3*j**2 + 80/3 + 1/6*j**3.
(j + 4)**2*(j + 10)/6
Let g(n) = n**3 - n**2 + n. Let a(c) = -c**3 - 25*c**2 - 2*c. Let v(t) = a(t) + 2*g(t