0802/23 - 792588/23*q**2 - 2/23*q**4.
-2*(q + 257)**4/23
Let q(k) be the second derivative of -k**4/8 - 351*k**3/2 + 6345*k**2/4 + 538*k - 8. Factor q(x).
-3*(x - 3)*(x + 705)/2
Let j(i) = -18*i - 358. Let q be (((-40)/(-32))/(5/(-160)))/2. Let v be j(q). Solve -5/2*h**2 + 2 - 3/2*h**3 + v*h = 0.
-2, -2/3, 1
Let -4/3*n**2 + 0*n**3 + 2/3*n**5 + 0 + 4/3*n**4 - 2/3*n = 0. What is n?
-1, 0, 1
Factor 93/4*c**2 - 99/4*c**3 - 3/4*c**5 + 0 + 39/4*c**4 - 15/2*c.
-3*c*(c - 10)*(c - 1)**3/4
Let g(i) be the third derivative of i**8/448 + 81*i**7/280 - 2*i**2 - 518. Factor g(n).
3*n**4*(n + 81)/4
Suppose 4 = 2*v - 2*b, -2*b + 55 = 4*v + 35. What is i in 0 + 14/3*i**2 + 2/3*i**3 + v*i = 0?
-6, -1, 0
Let f = 5 + 13. Let g = -1535 - -1565. Factor -30*k**2 + g*k**3 + 2*k - f*k**2 + k + 162*k**3.
3*k*(8*k - 1)**2
Let a(t) be the third derivative of 0*t - 5*t**3 + 65*t**2 - 25/24*t**4 - 1/12*t**5 + 0. What is r in a(r) = 0?
-3, -2
Let z(p) be the first derivative of -40*p**2 + 140*p + 5/3*p**3 + 36. Factor z(l).
5*(l - 14)*(l - 2)
Let z(t) = 4*t**4 + 13*t**3 - 15*t**2 - 19*t + 23. Let a(f) = -4*f**4 - 12*f**3 + 12*f**2 + 20*f - 24. Let k(m) = 3*a(m) + 4*z(m). Factor k(s).
4*(s - 1)**2*(s + 1)*(s + 5)
Let n be 66/4 + 11/(-22). Determine t so that 104*t**3 - 1 + n*t - 52*t**4 - 67*t**4 + 100*t**2 + 139*t**4 + 1 = 0.
-4, -1, -1/5, 0
Let d = 157/305 - 7/61. Let a be -1 + 4*52/80. Let d*s**2 - 6/5*s - a = 0. What is s?
-1, 4
Let b(m) = -19*m + 572. Let p = -774 - -804. Let x be b(p). Factor -x*y + 0*y**2 + 4/3 + 2/3*y**3.
2*(y - 1)**2*(y + 2)/3
Let w(x) be the third derivative of x**6/960 - 77*x**5/120 - 103*x**4/64 + 6507*x**2. Determine o, given that w(o) = 0.
-1, 0, 309
Suppose -51*c**2 - 3*c**5 + 119*c**3 + 12*c**4 - 105*c**3 + 39*c**4 - 11*c**3 = 0. Calculate c.
-1, 0, 1, 17
Let q(l) be the first derivative of -l**6/540 - 7*l**5/180 - 79*l**3/3 + 20. Let y(n) be the third derivative of q(n). Factor y(p).
-2*p*(p + 7)/3
Let q(v) = 10*v**3 + 980*v**2. Let n(x) = x**3 + 89*x**2. Let w(u) = -65*n(u) + 6*q(u). Factor w(d).
-5*d**2*(d - 19)
Let o(c) be the second derivative of -c**5/450 + c**4/60 + 2*c**3/5 + 27*c**2 + 32*c. Let w(t) be the first derivative of o(t). Factor w(p).
-2*(p - 6)*(p + 3)/15
Let n be ((-31)/5 + -1)/((-45)/150). Suppose -4*m + 30 = -5*z + 2, 2*m - 5*z - n = 0. Factor 1/3*r**m + 4/3*r + 4/3.
(r + 2)**2/3
Suppose 7*b - 24 + 3 = 0. Let g = -1 + b. Find c such that -44*c + 16 - 6*c + 10*c**g + 6*c = 0.
2/5, 4
Find w, given that 212*w**4 - 217*w**4 - 16*w**3 + 49*w**3 + 480*w**2 + 67*w**3 = 0.
-4, 0, 24
Determine g, given that 1/2*g**2 + 141/2*g + 0 = 0.
-141, 0
Let b = -3368/921 - 3/307. Let y = b + 5. Factor -4/3*d + 0*d**2 + y*d**3 + 0.
4*d*(d - 1)*(d + 1)/3
Let m(o) be the first derivative of -o**4/6 - 3*o**3 - 14*o**2 + 72*o + 79. Let q(x) be the first derivative of m(x). Factor q(r).
-2*(r + 2)*(r + 7)
Let n be 2/(-15) - (1400/3150 + (-161)/45). Suppose 3/2*t**2 - 3*t + 0 + 3/2*t**n = 0. Calculate t.
-2, 0, 1
Suppose -11*m = 2*m + 2 - 158. Let r(q) be the first derivative of 2*q**3 + 2*q + m + 1/2*q**4 + 3*q**2. Solve r(k) = 0 for k.
-1
Let r = -35201/126 + 1956/7. Let c(i) be the first derivative of 2/9*i**3 + 0*i**2 - 1/4*i**4 + r*i**6 + 44 + 0*i**5 + 0*i. Factor c(w).
w**2*(w - 1)**2*(w + 2)/3
Let g(q) = q**2 - 14*q + 26. Let r be g(12). Let n(a) be the second derivative of 7/27*a**3 + 0 + 1/54*a**4 - 20*a - 8/9*a**r. Let n(b) = 0. Calculate b.
-8, 1
Let c(i) be the first derivative of i**6/15 - 4*i**5/5 + 3*i**4 - 27*i**2 - 42*i + 2. Let o(m) be the first derivative of c(m). Factor o(a).
2*(a - 3)**3*(a + 1)
Let n = 38965 + -272737/7. Suppose 6/7*d**2 - n*d + 12/7 = 0. What is d?
1, 2
Suppose -2*l - 28 = 4*j - 6*j, 0 = -2*j - 3*l + 28. Let a(c) = 4*c - 3. Let q be a(2). Factor 7*s**5 - 7 - 50*s**2 + 32*s - 5*s**q + 38*s**3 - 1 - j*s**4.
2*(s - 2)**2*(s - 1)**3
Let w(g) be the third derivative of g**5/15 + 23*g**4/6 + 152*g**3/3 + 8*g**2 - 39. Factor w(f).
4*(f + 4)*(f + 19)
Let t be (25/(-30) - (-26)/30)/(3 + 1). Let i(w) be the second derivative of -11*w + 1/8*w**4 + 7/12*w**2 + t*w**5 + 0 + 5/12*w**3. Factor i(y).
(y + 1)**2*(y + 7)/6
Let q(h) be the third derivative of 64/15*h**4 + 0*h**3 - 1/1680*h**8 - 16/15*h**5 + 0*h - 23/1050*h**7 - 34*h**2 - 7/25*h**6 - 1. Factor q(s).
-s*(s - 1)*(s + 8)**3/5
Let y(i) be the first derivative of 15/8*i**4 + 45/8*i**2 + 3*i - 71 - 1/8*i**6 + 5*i**3 + 0*i**5. Let y(h) = 0. What is h?
-1, 4
Let l(y) be the first derivative of -y**4/4 - 130*y**3/3 - 2046*y**2 + 8712*y - 343. Factor l(u).
-(u - 2)*(u + 66)**2
Factor 165/4 + 25/2*k**2 - 14*k**3 + 68*k + 1/4*k**4.
(k - 55)*(k - 3)*(k + 1)**2/4
Let 39*u - 7*u - 6*u**3 + 5*u**3 + 16*u + 4*u + 9*u**2 = 0. What is u?
-4, 0, 13
Let m(s) be the second derivative of -28*s - 1/5*s**5 + 2 + 0*s**3 + 2/21*s**7 + 0*s**2 + 0*s**4 + 0*s**6. Find a, given that m(a) = 0.
-1, 0, 1
Suppose -5*t - 2105 = -3*q, 4*t + 1657 = -6*q + 3*q. Let a = t - -422. Find i such that 1/3*i**2 - 7/6*i**3 + 5/6*i**a + 0*i + 0 = 0.
0, 2/5, 1
Let z(k) = -3*k**2 + 4472*k - 5008640. Let a(c) = 4*c**2 - 4470*c + 5008638. Let r(i) = -2*a(i) - 3*z(i). Factor r(y).
(y - 2238)**2
Let w = 66466 - 199396/3. Let 44/21*j**2 - 50/21*j**3 + 16/21 + 24/7*j + w*j**5 - 8/7*j**4 = 0. What is j?
-1, -2/7, 2
Let q = -132161/5 + 26433. What is y in q*y - 12/5*y**2 - 11/5*y**3 + 5*y**5 + 0 + 6*y**4 = 0?
-1, 0, 2/5
Determine l, given that -39317*l**2 + 2*l**4 - 64 + 39361*l**2 + 8*l**3 + 10*l**3 = 0.
-4, -2, 1
Suppose 106/5*h + 0 - 1/10*h**4 + 2/5*h**2 - 53/10*h**3 = 0. Calculate h.
-53, -2, 0, 2
Let o(z) be the first derivative of 1/27*z**3 - 2/9*z**2 - 7 + 1/54*z**4 - 14*z. Let x(u) be the first derivative of o(u). Factor x(h).
2*(h - 1)*(h + 2)/9
Let y(c) = 3*c**4 + 59*c**3 + 126*c**2 + 120*c + 12. Let z(w) = 4*w**4 + 57*w**3 + 126*w**2 + 119*w + 15. Let t(n) = -3*y(n) + 4*z(n). Factor t(r).
(r + 2)**2*(r + 3)*(7*r + 2)
Solve -39*w**2 - 159/2 - 1/4*w**3 + 475/4*w = 0.
-159, 1, 2
Let f(v) = 10*v + 133. Let n = -1461 - -1448. Let g be f(n). Find d, given that 5/3*d**4 + 25/3*d**2 + 0 + 20/3*d**g + 10/3*d = 0.
-2, -1, 0
Let 0*x - 6/7*x**2 + 3/7*x**4 - 3/7*x**3 + 0 = 0. Calculate x.
-1, 0, 2
Factor 3569/2*s**2 - 9018*s + 1/2*s**4 - 57*s**3 + 7290.
(s - 54)**2*(s - 5)*(s - 1)/2
Let p be (-2)/(-11) - 71374/(-15455). Let v(i) be the first derivative of -p*i**2 + 32/5*i + 2 + 6/5*i**3 - 1/10*i**4. Factor v(m).
-2*(m - 4)**2*(m - 1)/5
Let m(p) be the second derivative of 0*p**2 - 29/50*p**5 - 132*p + 0 + 0*p**3 + 1/3*p**4 - 1/25*p**6. Determine d so that m(d) = 0.
-10, 0, 1/3
Solve 50*j - 181 + j**2 + 715 + 106*j + 25*j = 0.
-178, -3
Let k(w) be the second derivative of 1/12*w**5 - 1/4*w**4 + 7/18*w**3 - 1/3*w**2 - 1/90*w**6 + 4*w + 9. Factor k(i).
-(i - 2)*(i - 1)**3/3
Let d(j) be the first derivative of -j**4/6 - 50*j**3/9 - 44*j**2 - 72*j + 4097. Factor d(x).
-2*(x + 1)*(x + 6)*(x + 18)/3
Let j be 5*(-31)/(-7) - (-60)/20. Let q = j + -768/35. Suppose -4/5*s**2 - 16/5 - q*s = 0. Calculate s.
-2
Factor 3/5*y**5 + 0 - 21/5*y**4 + 0*y - 132/5*y**2 - 24*y**3.
3*y**2*(y - 11)*(y + 2)**2/5
Let t be (4 + -2)*4/48. Let z be ((-3)/(-5))/((-13965)/(-6650)) + 85/21. Let -z*b + 169/6 + t*b**2 = 0. Calculate b.
13
Let a = 24744 + -49487/2. Let n be 4/3*(-9)/(-6). Solve -1/2*b - 1/4*b**n + a*b**3 + 1/4 = 0 for b.
-1, 1/2, 1
Factor 224909*q**2 - 11572*q - 16738898 - 112456*q**2 - 112455*q**2.
-2*(q + 2893)**2
Let h(a) be the first derivative of -a**5/50 + 313*a**4/10 - 65521*a**3/5 + 39125*a**2 - 78125*a/2 + 1387. Factor h(i).
-(i - 625)**2*(i - 1)**2/10
Let n(w) be the third derivative of -w**7/2100 + 17*w**6/1200 - 59*w**5/600 - 77*w**4/240 - 3447*w**2. Solve n(v) = 0.
-1, 0, 7, 11
Suppose 130/3*p + 2/3*p**4 + 94/3*p**2 - 34/3*p**3 + 0 = 0. What is p?
-1, 0, 5, 13
Let 166 - 19*s - 126*s - 4*s**2 + 314 - s**2 = 0. What is s?
-32, 3
Let z(f) be the first derivative of -10/3*f**3 + 2*f**2 + 21*f + 4/3*f**4 - 22. Let c(n) be the first derivative of z(n). Suppose c(h) = 0. What is h?
1/4, 1
Let p be ((-6)/(-4))/(28786/2664 + (-4)/(-9)). Let k(d) be the first derivative of 4 - 1/5*d**2 + p*d**3 - 4/5*d. Let k(t) = 0. What is t?
-1, 2
Let r(v) = 1225 - 9*v**2 + 2*v**4 - 5*v**4 - 3*v - 1216. Let w(q) = -q**4 + 2*q**2 - 1. Let b(g) 