l) be the second derivative of l**5/120 - l**4/9 - 19*l**3/36 - 5*l**2/6 - l + 2. Factor r(o).
(o - 10)*(o + 1)**2/6
Suppose 5*w = -7 - 8. Let u(d) = -d**2 - 6*d - 5. Let x be u(w). Factor 1 - t - 5*t**4 - t + 5*t**4 + 2*t**3 - t**x.
-(t - 1)**3*(t + 1)
Factor 47/9*k - 1/9 - 784*k**3 - 280/9*k**2.
-(9*k + 1)*(28*k - 1)**2/9
Let w(s) be the first derivative of -6*s**5/55 - 9*s**4/22 - 6*s**3/11 - 3*s**2/11 + 8. Factor w(x).
-6*x*(x + 1)**3/11
Let j(w) be the second derivative of w**5/40 + w**4/24 - 97*w - 1. Determine l, given that j(l) = 0.
-1, 0
Solve -3/4*i**2 - 15/2*i + 117/4 = 0.
-13, 3
Suppose -2*a = -3*a. Suppose 2*r - 7 = -3*r - 3*g, a = 5*r + 5*g - 5. Factor 8/5*o**r + 7/5*o**4 - 16/5*o**3 - 1/5*o**5 + 16/5*o - 16/5.
-(o - 2)**4*(o + 1)/5
Let p(m) = 210*m**2 - 350*m + 140. Let r(c) = -10 - 6*c**2 - 9*c**2 - 2295*c + 2320*c. Let z(j) = 4*p(j) + 55*r(j). Let z(t) = 0. Calculate t.
2/3, 1
Let c be ((60/3)/2)/2. Solve -12*d + 4*d**2 + 1 - d**2 - c + 13 = 0.
1, 3
Let b = 41 - 39. Suppose -4*l = -3*q + b, 2*q + 3*l = -q + 9. Factor -15/4*s**3 + 3 - 45/4*s**q + 27/4*s**5 + 0*s + 45/4*s**4.
3*(s + 1)**3*(3*s - 2)**2/4
Let t(v) be the third derivative of v**6/15 + 107*v**5/20 + 135*v**4 + 200*v**3/3 - 585*v**2. Factor t(y).
(y + 20)**2*(8*y + 1)
Let z be 330/2*(1 + (-14)/21). Let k = -52 + z. Factor 0*u**2 + 3/4*u**k + 3/2 - 9/4*u.
3*(u - 1)**2*(u + 2)/4
Suppose -3*h = -2*n - 20, 3*n - 30 = 9*h - 12*h. Suppose -1/11*i**n - 4/11*i - 4/11 = 0. Calculate i.
-2
Suppose 387 = -4*d + 379, -3*p = -4*d - 14. What is f in -32/9*f + 4/9*f**4 + 16/3*f**p + 0 + 10/3*f**3 = 0?
-4, 0, 1/2
Let k = 75 + -395. Let b be (18/15)/((-6)/k). Determine z, given that 4*z + 4*z**2 - 9*z - 10*z + b - 17*z = 0.
4
Suppose 3*k - 16 = -2*p, -4*k - 2*p + 5*p = -10. Solve -7*v**3 - 5*v**2 + 35*v**k + 17*v**3 + 0*v**3 + 20*v**5 = 0.
-1, 0, 1/4
Let o(h) be the first derivative of 54/5*h**3 - 18/5*h**2 + 22 + 2/5*h. Factor o(k).
2*(9*k - 1)**2/5
Let i(s) = -2*s**2 + 5*s + 6. Let g be i(5). Let h be g/(-5) + (-12)/15. Factor q + h*q**2 - 3*q**3 + 3*q**2 + 8*q.
-3*q*(q - 3)*(q + 1)
Solve 10*i**5 - 20*i**2 + 46*i**2 - 15*i**4 - 21*i**2 = 0 for i.
-1/2, 0, 1
Suppose 18 = 5*x + 32*r - 30*r, 3*r = 2*x + 8. What is i in -1/2*i**x + 0 - 1/2*i = 0?
-1, 0
Let t(s) = -s**3 - 21*s**2 - 22*s - 38. Let o be t(-20). Factor 103*m**3 + 20*m**o - 35*m**3 + 72*m**3 + 245*m**4.
5*m**2*(7*m + 2)**2
Suppose 2*q + 16*q = 11574. Solve n**3 - q*n - 8*n**2 + 2*n**2 - 4 + 652*n = 0.
1, 4
Let r(g) be the third derivative of -g**7/42 - g**6/12 + g**5/4 + 5*g**4/6 - 10*g**3/3 + 296*g**2. Solve r(o) = 0 for o.
-2, 1
Let a(p) be the third derivative of p**6/30 + 14*p**5/15 + 4*p**4 + 44*p**2 + 2*p. Solve a(x) = 0.
-12, -2, 0
Let f(k) = 21*k**2 + 12*k - 57. Let s(y) = 58*y**2 + 37*y - 171. Let h(b) = -11*f(b) + 4*s(b). Let h(w) = 0. What is w?
-19, 3
Let z(r) be the third derivative of r**8/1680 + r**7/840 - r**6/360 - r**5/120 + 4*r**3/3 + 5*r**2. Let i(s) be the first derivative of z(s). Factor i(x).
x*(x - 1)*(x + 1)**2
Suppose 0 = 16*o - 13*o - 6. Suppose -5*h - 2*q + 6 + 9 = 0, -3*h - o*q + 5 = 0. Factor 3*x**3 + h*x**2 - 3*x + x**2 + 6*x.
3*x*(x + 1)**2
Let v(j) be the first derivative of 0*j - 17/5*j**3 - 3/10*j**2 + 26. Suppose v(h) = 0. What is h?
-1/17, 0
Let i(f) be the first derivative of 5*f**8/504 - f**7/945 - f**6/270 + 21*f**2/2 + 16. Let n(l) be the second derivative of i(l). Factor n(o).
2*o**3*(3*o + 1)*(5*o - 2)/9
Let d be 15/(-45) + 1/(6/(-250)). Let m be 4*(-1)/(-6) + (-44)/d. Determine c, given that 0 - m*c**3 - 12/7*c**2 - 4/7*c**4 - 4/7*c = 0.
-1, 0
Factor -4232/3 + 184/3*z - 2/3*z**2.
-2*(z - 46)**2/3
Let n(y) be the second derivative of y**6/6 + y**5/2 - 15*y**4/4 - 5*y**3/3 + 20*y**2 + 162*y. What is j in n(j) = 0?
-4, -1, 1, 2
Let u(m) be the first derivative of 2*m**5/15 - m**4/2 - 2*m**3 - 5*m**2/3 + 56. Solve u(b) = 0.
-1, 0, 5
Suppose 133*n = 140*n + 42. Let k be (n/10)/((-99)/220). Let -k + 2/3*i**2 - 2/3*i = 0. What is i?
-1, 2
Let m(b) = -30*b**5 + 87*b**4 - 67*b**3 + 3*b - 7. Let v(y) = -15*y**5 + 44*y**4 - 34*y**3 + y - 4. Let u(p) = 4*m(p) - 7*v(p). Factor u(a).
-5*a*(a - 1)**3*(3*a + 1)
Let j be (-4 + 7*36/63)/(-2). Factor 27/5*l**2 - 12/5*l**3 + j - 6/5*l.
-3*l*(l - 2)*(4*l - 1)/5
Let i(o) be the first derivative of 9*o**5/5 - 87*o**4/2 + 316*o**3 - 513*o**2 + 243*o + 344. Factor i(c).
3*(c - 9)**2*(c - 1)*(3*c - 1)
Let c be (-62)/(-5) + (-2)/5. Factor 4166*g**2 + 4 - c*g - 4 - 4168*g**2.
-2*g*(g + 6)
Let o = 9 - 6. Let p be 3/(2*o/4). Factor 6*m**3 + 3*m + m**3 - 6*m**3 + p - 3*m**2 - 3.
(m - 1)**3
Let w(k) be the first derivative of 1/38*k**4 + 7/19*k**2 - 10 + 6/19*k + 10/57*k**3. Suppose w(q) = 0. Calculate q.
-3, -1
Determine r so that -14*r**4 - 206/3*r**3 - 368/3*r - 2/3*r**5 - 138*r**2 - 40 = 0.
-15, -2, -1
Factor -20 + 145*h - 66 - 33 - 15 - 16 + 5*h**2.
5*(h - 1)*(h + 30)
Factor -3/2*l**4 + 3*l**3 + 0*l**2 + 0*l + 0 - 3/2*l**5.
-3*l**3*(l - 1)*(l + 2)/2
Let k(n) be the third derivative of -n**7/1050 + 19*n**6/600 - 11*n**5/25 + 10*n**4/3 - 224*n**3/15 + 69*n**2 - n. Factor k(p).
-(p - 7)*(p - 4)**3/5
Suppose 19 = 4*x - 1, 0 = -3*w + 4*x - 8. Determine t, given that -1/3*t**w + 0 + 0*t + 0*t**2 - t**3 = 0.
-3, 0
Solve 23*q**2 + 5*q**3 + 63 + q**3 - 2*q**3 + 42*q**2 - 5*q**3 - 127*q = 0 for q.
1, 63
Let s(y) be the second derivative of 0*y**2 + 4*y + 1/10*y**5 + 1/45*y**6 + 1/9*y**4 + 0 + 0*y**3. Solve s(u) = 0.
-2, -1, 0
Let f be 7/((-21)/(-4))*(-21)/(-14). Suppose 0 = 2*j - 0*j - 10. Solve -h**2 - 4*h**2 + 8*h + 2*h**3 + j*h**f - 8*h**2 = 0.
0, 2
Let v be (6/4 - 4) + 3. Suppose 0 = 11*g - 27*g + 32. Factor -1/2*n**3 - 1/4*n**4 + v*n + 0*n**g + 1/4.
-(n - 1)*(n + 1)**3/4
Suppose -5*n - 78 = -j, 3*j + 2*n - 4*n - 195 = 0. Solve 2*z**2 + 60 + j - 6*z - 119 = 0.
1, 2
Suppose 2*l + v - 14 = 0, 2*l - v + 3*v - 12 = 0. Find p such that 36*p - l*p**2 + 4*p**3 + 4 - 16 - 12*p**2 - 8*p = 0.
1, 3
Suppose -10*d + 6*d + 8 = 0. Let s be 10/(-55) + (-42)/33 + d. Suppose 2/11*z**4 + 0 - 6/11*z**5 + 0*z - 2/11*z**2 + s*z**3 = 0. What is z?
-1, 0, 1/3, 1
Let h = -125/9 - -652/45. Factor 6/5 - h*m**2 - 3/5*m.
-3*(m - 1)*(m + 2)/5
Let c(r) = -3*r**3 + 438*r - 5 - 445*r - 2*r**2 - 2*r**2 - r**2. Let i(s) = 4*s**3 + 7*s**2 + 10*s + 7. Let h(m) = -7*c(m) - 5*i(m). Factor h(d).
d*(d - 1)*(d + 1)
Factor 357 + 156*z - 317 - 3*z**2 - 13*z**2.
-4*(z - 10)*(4*z + 1)
Let t = -440 - -443. Determine g, given that -1/4*g**5 + 1/2*g**2 + 0 - 1/2*g**4 + 0*g + 1/4*g**t = 0.
-2, -1, 0, 1
Let r(s) be the second derivative of -1/6*s**4 + 5*s + 0*s**3 + 0*s**2 + 1/5*s**5 + 0 - 1/15*s**6. Determine g, given that r(g) = 0.
0, 1
Let m(c) be the third derivative of -c**5/12 - 95*c**4/12 - 1805*c**3/6 + 4*c**2. Suppose m(z) = 0. What is z?
-19
Solve 53*v**2 + 285 + 26*v**2 + 391 - 10*v**2 + 22*v**3 - 572*v + v**4 = 0 for v.
-13, 2
Let c be (-606)/189 + 4 + (-8)/14. Let s(f) be the first derivative of -3 + 2/15*f**5 + c*f**3 + 0*f**2 - 1/3*f**4 + 0*f. Factor s(d).
2*d**2*(d - 1)**2/3
Let h(u) = -u**2 + 3. Let l(t) = t**2 - t - 3. Let r(q) = -3*h(q) - 4*l(q). Let d be r(4). Factor 6 - 2*c**2 + d*c**2 + 4*c - 2.
(c + 2)**2
Let a = -3533/6 - -589. Factor -1/3 - 1/2*c - a*c**2.
-(c + 1)*(c + 2)/6
Let g = -920 + 926. Let m(x) be the second derivative of 2/5*x**2 + 0*x**4 - 1/50*x**5 + 1/5*x**3 + g*x + 0. Factor m(y).
-2*(y - 2)*(y + 1)**2/5
Suppose 0 = c - 2*k + 101, -2*c - 5*k = 200 - 43. Let z = c + 91. Factor 2/3*m + 2/3*m**2 + z.
2*m*(m + 1)/3
Let w(n) be the second derivative of -3*n**7/14 - 22*n**6/5 - 261*n**5/10 - 45*n**4 + 81*n**3/2 - 58*n. Suppose w(v) = 0. What is v?
-9, -3, 0, 1/3
Let w(a) = 176*a + 5985. Let t be w(-34). Factor -1/5*i**2 + 6/5*i - t.
-(i - 5)*(i - 1)/5
What is r in 0 + 6/13*r**4 + 154/13*r**3 + 236/13*r**2 - 96/13*r = 0?
-24, -2, 0, 1/3
Suppose -20 = 5*v + 60. Let l = v + 18. Factor -2*g + g**l - 3*g**2 + 1 + 0*g + 3*g**2.
(g - 1)**2
Let h be (5/(-2))/(3/(-6)). Suppose 5*n = 3*b + 15, h*b + 6 + 0 = 2*n. Factor 2*k**n + 3*k + k - 3*k - k**3 - 2*k**2.
k*(k - 1)**2
Let g(f) be the second derivative of -7*f**6/195 + f**5/65 + 14*f**4/39 - 8*f**3/39 - 60*f. Suppose g(w) = 0. What is w?
-2, 0, 2/7, 2
Let h(k) = -k**3 - 5*k**2 + 19*k + 35. Let t be h(-7). Determine c, given that 0 - 