ve of -295/24*m**4 + 0 - 4*m + 4*m**2 + 1/2*m**5 + 95/6*m**3. Factor i(c).
5*(2*c - 19)*(3*c - 1)
Let j(z) be the second derivative of z**7/70 + 3*z**6/25 + 3*z**5/20 - z**4 - 18*z**3/5 - 24*z**2/5 - z + 59. Suppose j(y) = 0. What is y?
-4, -2, -1, 2
Let p = -3836/37 + 80630/777. Suppose -4*v + 5*q - 12 = -0*v, 3*v + q = 10. Let -p*b**5 + 0 - 2/21*b**3 + 4/21*b - 2/7*b**4 + 2/7*b**v = 0. Calculate b.
-2, -1, 0, 1
Factor 0 + 2/7*m**4 - 8/7*m**3 + 0*m - 10/7*m**2.
2*m**2*(m - 5)*(m + 1)/7
Let 2*b**5 - 60*b**4 - 1510*b**2 - 1476*b**2 - 594*b**3 - 4*b**5 + 1050*b**2 = 0. What is b?
-11, -8, 0
Let c(m) be the first derivative of -94 + 225/4*m**2 + 1/4*m**3 + 16875/4*m. Factor c(d).
3*(d + 75)**2/4
Let n(l) be the second derivative of l**6/25 + 6*l**5/25 - l**4/2 - l - 3876. Suppose n(c) = 0. What is c?
-5, 0, 1
Solve -11*j**3 - 730*j**4 - 86*j - 7*j**3 + 729*j**4 - 76*j**2 - 10*j + 2*j**3 = 0.
-8, -6, -2, 0
Let b(i) be the third derivative of 31/60*i**5 + 0*i - 2/3*i**3 + 0 + 71/70*i**7 - 2/3*i**4 + 193/120*i**6 + 3/16*i**8 - 51*i**2. Solve b(l) = 0.
-2, -1, -1/3, 2/7
Suppose 300*c - 1077*c + 51 + 1503 = 0. Suppose 2/7*d**3 - 2/7*d**5 + 8/7*d**4 + 0*d - 8/7*d**c + 0 = 0. What is d?
-1, 0, 1, 4
Let a(h) be the second derivative of 2*h**4/39 - 149*h**3/13 - 112*h**2/13 + 9*h - 4. Factor a(x).
2*(x - 112)*(4*x + 1)/13
Let o be (-8)/(-44) + 57/(-11). Let y(h) = -h**3 - 9*h + 5. Let z(s) = s**3 - 6*s**3 + 8 - 4*s**3 + 7*s**3 - 14*s. Let p(k) = o*z(k) + 8*y(k). Factor p(b).
2*b*(b - 1)*(b + 1)
Let f(i) be the first derivative of 1/12*i**6 + 0*i**3 + 1/2*i**4 + 0*i**2 + 2/5*i**5 - 129 + 0*i. Factor f(t).
t**3*(t + 2)**2/2
Let l = 2139 - 2139. Let k(h) be the second derivative of -6*h**3 + 54*h**2 + 12*h + l + 1/4*h**4. Determine v so that k(v) = 0.
6
Let b(v) be the first derivative of 1/8*v**6 + 3/8*v**2 + 0*v**3 - 65 + 0*v + 0*v**5 - 3/8*v**4. Factor b(c).
3*c*(c - 1)**2*(c + 1)**2/4
Let s(k) be the first derivative of 9*k**5/70 - k**4/21 - 3*k**3/7 + 2*k**2/7 - 72*k + 79. Let z(o) be the first derivative of s(o). Factor z(w).
2*(w - 1)*(w + 1)*(9*w - 2)/7
Let c(w) be the second derivative of -w**4/24 + 25*w**3/6 + 51*w**2/4 - 2816*w. Find x such that c(x) = 0.
-1, 51
Let c be 0/(0 + -6) - -76. Factor -c*q + 3967 - 4689 - 2*q**2 + 0*q**2.
-2*(q + 19)**2
Let x be ((-4)/(-2))/(1*-2). Let q be (2 + -1)*x - -3. Factor 4*l**3 - 3*l**q - 7*l**3 + 0*l**3.
-3*l**2*(l + 1)
Let z = 12086 + -12073. Let o(q) be the first derivative of 0*q + z - 8/9*q**3 - 2/3*q**2 - 1/15*q**5 - 5/12*q**4. Solve o(v) = 0.
-2, -1, 0
Suppose -5 + 12 = 5*q - r, 4*r - 22 = -5*q. Let j be ((-2)/24 + 0)/(1/(-3)). Let 1 - o + j*o**q = 0. Calculate o.
2
Let d(c) be the first derivative of c**7/42 + c**6/6 + 2*c**5/5 + c**4/3 - 118*c + 61. Let f(q) be the first derivative of d(q). Factor f(b).
b**2*(b + 1)*(b + 2)**2
Let n be (1/(-17))/((-3)/6). Let k be 384/(-704) - 234/(-187). Factor -n*p**2 - k*p + 0.
-2*p*(p + 6)/17
Let t = 96353/128524 + 10/32131. Factor 0*o - 15/4*o**2 - t*o**3 + 0.
-3*o**2*(o + 5)/4
Let f(o) = o**3 - 16*o**2 + 17*o - 27. Let b be f(15). Solve -84*i**2 + 201*i + 0 - 20*i**b + 0*i**4 - 293*i + 4*i**4 - 32 = 0 for i.
-1, 8
Let u = -30146 + 452192/15. Let f(y) be the second derivative of -18*y + 0 - u*y**3 + 0*y**2 - 1/30*y**4. Suppose f(b) = 0. Calculate b.
-2, 0
Let a(i) be the second derivative of -i**6/120 + 3*i**5/5 - 18*i**4 - 16*i**3 + i + 5. Let k(d) be the second derivative of a(d). Find j, given that k(j) = 0.
12
Let z(r) = r**4 - 21*r + 1. Let x(a) = -a**5 + 9*a**4 + 16*a**3 + 20*a**2 - 168*a + 8. Let u(h) = -3*x(h) + 24*z(h). Factor u(y).
3*y**2*(y - 5)*(y + 2)**2
Let r(o) be the second derivative of o**5/70 - o**4/7 - 13*o**3/21 + 6*o**2 - 88*o - 3. What is c in r(c) = 0?
-3, 2, 7
Let d be -341 + ((-4)/(-5))/((-34)/85). Let y = d - -1373/4. Factor -3/2 + y*m**2 + 5/4*m.
(m - 1)*(m + 6)/4
Let w(o) be the second derivative of 46225*o**4/54 + 860*o**3/9 + 4*o**2 + 1113*o. Let w(m) = 0. What is m?
-6/215
Let q(l) = -1 - 2*l**2 - 9 + 12*l - 13 + 19 - 6*l**4. Let d(t) = -7*t**4 + t**3 - 3*t**2 + 14*t - 5. Let b(x) = -4*d(x) + 5*q(x). Suppose b(c) = 0. Calculate c.
-2, -1, 0, 1
Let j = 118 - 116. Let k(s) be the first derivative of -4 - 4*s**3 + 12*s + 6*s**j - 4*s**4 - 4*s**2 + 6*s**2. Factor k(d).
-4*(d - 1)*(d + 1)*(4*d + 3)
Suppose 94*a + 2706 = 2894. Let d(r) be the first derivative of -1/4*r**4 - r + 13 - r**3 - 3/2*r**a. Factor d(g).
-(g + 1)**3
Let m(q) be the second derivative of q**4/9 - q**3/18 - 783*q. Find t such that m(t) = 0.
0, 1/4
Find l such that 10240*l - 256*l**2 - 20*l**4 - 11*l**4 - 88*l**3 + 5*l**4 + 50*l**4 - 20*l**4 = 0.
-10, 0, 16
Let j(f) be the first derivative of f**4/96 - 23*f**3/12 + 529*f**2/4 - 120*f + 54. Let m(w) be the first derivative of j(w). Solve m(p) = 0.
46
Let u(o) be the first derivative of -3*o**3 - 21*o**2/2 - 6*o - 517. Find s such that u(s) = 0.
-2, -1/3
Factor 328035/4*g**3 + 9752805*g + 3/4*g**5 + 510*g**4 - 3175875/2*g**2 - 19731762.
3*(g - 6)**3*(g + 349)**2/4
Let f be ((-528)/(-40) + 9 - (13 + -1)) + -10. What is h in -3/5*h + 1/5 + 3/5*h**2 - f*h**3 = 0?
1
Let z be (-10)/9*183/(-305). Let p = 2 - 0. Solve z*y**3 + 7/3*y - 7/3*y**p - 2/3 = 0 for y.
1/2, 1, 2
Suppose 198/19*r - 146/19*r**2 - 36/19 + 28/19*r**3 = 0. Calculate r.
3/14, 2, 3
Let a = 197 + -192. Suppose -5 - 3 = -5*g - 2*c, a*c = g + 20. Factor 7/5*p**4 - 1/5*p**2 + g - 2/5*p**3 - 4/5*p**5 + 0*p.
-p**2*(p - 1)**2*(4*p + 1)/5
Let m(u) be the second derivative of 1/6*u**4 - 2/165*u**6 - 4/33*u**3 - 1/22*u**5 + 113*u + 0 + 0*u**2. Let m(j) = 0. Calculate j.
-4, 0, 1/2, 1
Suppose k = 5*n - 21, 4*n - n - 3*k = 3. Suppose 60*z - 65*z + 20 = -b, 10 = 5*z + b. Factor -z*o**3 - 2*o**2 - 3*o**5 + 9*o**5 - n*o**5.
o**2*(o - 2)*(o + 1)**2
Let b be ((-4)/(-1))/(2 - (11 - 15)). Let v(c) be the third derivative of -17*c**2 + 0*c - 1/45*c**5 - b*c**3 + 0 - 2/9*c**4. Let v(i) = 0. Calculate i.
-3, -1
Let k(u) be the third derivative of -u**9/3024 - u**8/336 - 5*u**7/504 - u**6/72 - 83*u**4/8 - 141*u**2. Let c(y) be the second derivative of k(y). Factor c(j).
-5*j*(j + 1)**2*(j + 2)
Let f(v) = -2*v**3 + 61*v**2 + 33*v - 60. Let t be f(31). What is n in 8*n**2 - 16*n**3 + 32*n + 8*n**2 - 17 + 2*n**5 - t*n**4 + 9 - 24 = 0?
-2, 1, 2
Suppose y = -15 + 22. Suppose -44 = -y*m + 26. Find z, given that 10*z**2 + 7*z**3 - 4*z + m*z + 2*z**5 + 10*z**2 + 17*z**3 + 12*z**4 = 0.
-3, -1, 0
Let s(a) = 2*a + 23. Let h(r) = -3*r - 24. Let n(m) = -4*h(m) - 5*s(m). Let x be n(12). Factor -4/5*g**3 + 0*g**2 - 8/5*g**4 + 0*g - 4/5*g**x + 0.
-4*g**3*(g + 1)**2/5
Let r(q) = -2*q**4 - 14*q**3 - 659*q**2 - 624*q + 4593. Let h(u) = u**4 + 329*u**2 + 312*u - 2295. Let s(w) = -5*h(w) - 3*r(w). Factor s(d).
(d - 2)*(d + 6)**2*(d + 32)
Let n(x) be the second derivative of -x**8/5040 - x**7/630 + 2*x**5/45 - x**4/12 - 7*x**3/2 + 44*x. Let u(t) be the third derivative of n(t). Solve u(g) = 0.
-2, 1
Suppose -1 = -3*o + t, 2*o - 3*t + 17 = 6. Factor 6*p**o - 23*p + 200 - 17*p - 4*p**2.
2*(p - 10)**2
Let r(n) be the first derivative of -n**4/18 + 310*n**3/9 + 311*n**2/3 + 934*n/9 + 929. Factor r(o).
-2*(o - 467)*(o + 1)**2/9
Let l(a) be the first derivative of a**8/5040 - a**7/840 + a**6/540 - a**3/3 - a + 36. Let f(u) be the third derivative of l(u). Factor f(r).
r**2*(r - 2)*(r - 1)/3
Suppose -3*x - 3 + 9 = 0. Factor -60 + 0*b**x + 57*b - 9*b + 36*b - 27*b**2.
-3*(b - 2)*(9*b - 10)
What is k in 429*k**2 + 36 + 390*k**2 - 682*k**2 + 443*k**2 - 54 - 3*k + 1300*k**3 = 0?
-3/10, 2/13
Let g(o) be the third derivative of o**5/30 - 17*o**4/3 + 265*o**3 - 2*o**2 + 127*o - 2. Factor g(l).
2*(l - 53)*(l - 15)
Let m be 4035/744*461/60. Let h = m - 3/992. Let -h + 50/3*z - 5/3*z**2 = 0. What is z?
5
Let g(s) be the second derivative of -1/510*s**5 + 1/68*s**4 + 0 - 3/2*s**2 - 2/51*s**3 + 8*s. Let p(i) be the first derivative of g(i). Factor p(j).
-2*(j - 2)*(j - 1)/17
Suppose -35*y + 914 + 451 = 0. Suppose -118 = -y*b - 40. Factor -1/4*n**3 + 1/4 - 3/4*n + 3/4*n**b.
-(n - 1)**3/4
Suppose 2*y - 8 = 0, 36 = 5*f + 4*y + 5. Let p(d) be the first derivative of 5/2*d**3 + 5/2*d - 15/4*d**2 - 5/8*d**4 - f. Suppose p(z) = 0. Calculate z.
1
Let y be (60/(-195))/(1386/(-2574)). Factor -y*u**2 - 8/7*u + 12/7.
-4*(u - 1)