**2 - 18*o. Let y(l) = -15*i(l) - 5*x(l). Factor y(f).
-5*f*(f - 2)*(23*f + 6)
Let -242 + 1441/2*j**3 - 724*j + 7/2*j**5 + 1343/2*j**2 - 859/2*j**4 = 0. Calculate j.
-1, -2/7, 1, 2, 121
Let u(b) be the second derivative of -5*b**5/4 + 515*b**4/12 + 75*b**3/2 - 315*b**2/2 - 4191*b. Solve u(y) = 0 for y.
-1, 3/5, 21
Let l = 3402 + -3395. Let n(c) be the first derivative of -76/3*c**3 - 16*c**2 + 2 - l*c**4 + 16*c. Factor n(t).
-4*(t + 1)*(t + 2)*(7*t - 2)
Let f(i) be the second derivative of -i**7/350 - i**6/25 - 13*i**5/100 - 3*i**4/20 - 133*i**2/2 - 29*i. Let r(d) be the first derivative of f(d). Factor r(u).
-3*u*(u + 1)**2*(u + 6)/5
Let x(q) be the first derivative of -3*q**4/4 + 152*q**3 + 1407*q**2/2 - 1860*q - 676. What is t in x(t) = 0?
-4, 1, 155
Let u(b) be the second derivative of b**7/21 + 769*b**6/15 + 148223*b**5/10 + 146687*b**4/6 - 49408*b**3 - 147456*b**2 + 278*b - 3. Find s such that u(s) = 0.
-384, -1, 1
Let b(d) = -86*d**3 + 3583*d**2 + 797439*d - 399636. Let h(u) = 38*u**3 - 1791*u**2 - 398720*u + 199817. Let t(o) = -4*b(o) - 9*h(o). Factor t(s).
(s + 447)**2*(2*s - 1)
Let q be -1*(-7)/(-28) + (-3)/4. Let x(n) = n**3. Let k(i) = -i**3 + 55*i**2 - 60*i. Let a(h) = q*k(h) - 6*x(h). Factor a(v).
-5*v*(v - 1)*(v + 12)
Let y = 28464 + -28460. Factor -34/3*x - 20/3*x**y + 32/3*x**3 + 16/3 + 4/3*x**2 + 2/3*x**5.
2*(x - 8)*(x - 1)**3*(x + 1)/3
Let n(m) be the third derivative of m**6/60 + 2*m**5/5 + 815*m**2. Determine s so that n(s) = 0.
-12, 0
Let r be ((-5)/42)/(1260/(-147)). Let u(i) be the second derivative of 0 + r*i**4 + 5/36*i**3 + 0*i**2 - 19*i. Suppose u(n) = 0. What is n?
-5, 0
Suppose -3*w = 5*h + 14, 76*w + 3*h = 81*w - 22. Let q(f) = f + 10. Let z be q(-7). Find v, given that 11/5*v + v**z + 3/5 + 13/5*v**w = 0.
-1, -3/5
Let f(w) be the second derivative of -105*w + 0 - 1/42*w**4 - 8/7*w**2 + 3/7*w**3. Find t, given that f(t) = 0.
1, 8
Let q(a) = 20*a**2 - 95*a - 110. Let r(c) = 11*c**2 - 47*c - 55. Suppose -2*y = -d + 11, -5*d + 6 = 2*y - 13. Let o(p) = d*r(p) - 3*q(p). Factor o(i).
-5*(i - 11)*(i + 1)
Let o = 1561/5 - 309. Let c be (120/(-65))/(780/(-6084)). What is n in -14/5*n**4 + 52/5*n**2 - 18/5*n**3 + c*n + o = 0?
-2, -1, -2/7, 2
Let d be 15*(-15)/(-150)*(-8)/(-3). Factor 3*x**4 + 12*x**4 + 32*x**2 + 16*x**2 - 4*x**5 + 11*x**d - 64*x**3 + 2*x**4.
-4*x**2*(x - 3)*(x - 2)**2
Let i(j) be the third derivative of j**5/15 + 31*j**4/6 + 100*j**3 + 2*j**2 + 102. Suppose i(t) = 0. Calculate t.
-25, -6
Suppose -2*x + 5*d + 257 = 44, 0 = 4*d + 20. Suppose -3*q = s - x, -2*q + 60 = 3*s + 9. Determine p so that -11 + q - 21 - p**3 - p**2 - p + 2*p**3 = 0.
-1, 1
Let k(i) = 197*i + 12 - 233*i + 29. Let b be k(1). Factor 28/11*y**3 - 32/11*y**2 + 2/11*y**b - 4/11 + 18/11*y - 12/11*y**4.
2*(y - 2)*(y - 1)**4/11
Let d(z) be the second derivative of 0*z**3 + 0*z**2 - 9/8*z**4 + 5 + 1/5*z**6 + 1/56*z**7 + 27/80*z**5 - z. Solve d(b) = 0.
-6, -3, 0, 1
Let v be 8/(-64)*0 + -1 + 4. Find c, given that 16*c**2 - 16*c - 4*c**4 + 40*c**3 - 69*c**v + 33*c**3 = 0.
-2, 0, 1, 2
Let c(l) = l**3 - 2*l + 2. Let x(r) = 3*r**3 + 47*r**2 + 40*r - 88. Let y(p) = -6*c(p) + 3*x(p). Factor y(b).
3*(b - 1)*(b + 2)*(b + 46)
Solve -3*l**3 - 21/2*l**4 + 0*l + 0 + 60*l**2 - 3/2*l**5 = 0.
-5, -4, 0, 2
Let u(i) be the first derivative of 4*i**5/15 - 10*i**4/3 + 16*i**3 - 36*i**2 + 36*i - 819. Determine m so that u(m) = 0.
1, 3
Let z = 39291 - 39285. Let b(f) be the third derivative of 1/180*f**5 + 0*f**3 - z*f**2 + 0 + 1/72*f**4 + 3*f. Factor b(t).
t*(t + 1)/3
Let u(n) be the first derivative of -n**7/630 - n**6/120 + n**4/18 - 223*n**2/2 + 206. Let x(w) be the second derivative of u(w). Let x(z) = 0. What is z?
-2, 0, 1
Let s(x) = -x**2 - 4*x - 1. Suppose -p + 0*p - 8 = 3*y, 2*y = -2*p - 12. Let h be s(y). Suppose -2*k**2 - 2*k**3 - k**2 + 3*k**3 + h*k = 0. Calculate k.
0, 1, 2
Let d(q) be the second derivative of q**4/24 - 9*q**3 + 53*q**2 + 2*q + 32. Suppose d(t) = 0. Calculate t.
2, 106
Let l(t) be the second derivative of -54 + 23/18*t**3 + 11/6*t**2 + 1/60*t**5 + 13/36*t**4 + t. Factor l(d).
(d + 1)**2*(d + 11)/3
Suppose 2*m + 14 = -4*c, -5*m + 0*m = c - 10. Let v = 81 - 39. Factor 5*y**2 - v*y**3 + 5*y**5 - m*y - 20*y**4 + 15*y**2 - 17*y + 57*y**3.
5*y*(y - 2)**2*(y - 1)*(y + 1)
Suppose 6 = z - 0. Factor -1 - 1 + 4*s**4 + z - 8*s**2.
4*(s - 1)**2*(s + 1)**2
Let m(v) be the second derivative of 23/12*v**4 + 1 + 0*v**2 + v**3 + 6*v + 1/20*v**5 - 1/6*v**7 - 23/30*v**6. Solve m(u) = 0.
-3, -1, -2/7, 0, 1
Factor 2352 + 591*q**2 + 2912*q + 63/2*q**3 + 1/2*q**4.
(q + 1)*(q + 6)*(q + 28)**2/2
Let m(n) = -229*n**3 - 4237*n**2 - 4247*n - 230. Let s(r) = 223*r**3 + 4234*r**2 + 4249*r + 230. Let z(l) = -8*m(l) - 9*s(l). Let z(h) = 0. What is h?
-23, -1, -2/35
Let d(v) be the first derivative of -2*v - 13/6*v**2 - 7/9*v**3 - 67. Factor d(i).
-(i + 1)*(7*i + 6)/3
Let u(y) be the third derivative of -y**5/360 + 31*y**4/72 - 3*y**2 + 46*y. Determine x, given that u(x) = 0.
0, 62
Suppose 3*l = -5*w + 37, -7*l + 15 + 46 = -w. Determine t, given that -4/3*t - 10/9*t**w + 0 - 2/9*t**3 = 0.
-3, -2, 0
Let h(d) be the first derivative of 2*d**3/33 + 49*d**2/11 + 96*d + 182. Factor h(v).
2*(v + 16)*(v + 33)/11
Suppose -t + 27 = 5*q - 2, 0 = q + 5*t - 25. Let f = -24518 - -24522. Solve 1/4*y**q + 0 + 1/2*y**f + 0*y**2 + 1/4*y**3 + 0*y = 0.
-1, 0
Suppose -201 = 6*j - 231. Suppose j*p**5 + 125*p**3 - 7899 - 60*p**2 + 7899 - 70*p**4 = 0. Calculate p.
0, 1, 12
Let s = -32912 + 32954. Let i(m) be the first derivative of 0*m**2 + s - 1/48*m**6 + 0*m + 3/40*m**5 + 0*m**4 - 1/6*m**3. Factor i(d).
-d**2*(d - 2)**2*(d + 1)/8
Let h(i) be the first derivative of -i**6/15 - 52*i**5/25 - 92*i**4/5 - 748*i**3/15 + 37*i**2 + 160*i + 713. Suppose h(b) = 0. What is b?
-16, -5, -1, 1
Let j(v) be the third derivative of 2*v**2 + 0*v - 1/84*v**8 + 13/5*v**5 - 9 - 3*v**4 + 6/35*v**7 - 29/30*v**6 + 0*v**3. What is i in j(i) = 0?
0, 1, 2, 3
Factor 8232 + 168*d + 6/7*d**2.
6*(d + 98)**2/7
Let 117/2*c - 121/2*c**2 + 3/2*c**3 + 0 + 1/2*c**4 = 0. Calculate c.
-13, 0, 1, 9
Let r(m) = 4*m**2 - 26*m + 18. Let q(f) = 4*f**2 - 27*f + 17. Let n be (5/(-20))/(4/48). Let y(k) = n*r(k) + 2*q(k). Factor y(l).
-4*(l - 5)*(l - 1)
Let q be ((-25)/100)/(10*7/(-2)). Let m(l) be the third derivative of 0*l + q*l**5 + 0 + 0*l**3 - 1/56*l**4 - 28*l**2. Find s such that m(s) = 0.
0, 1
Let x(f) be the first derivative of -5*f**3/3 - 25*f**2 - 125*f - 264. Factor x(g).
-5*(g + 5)**2
Let h(l) = l**3 + 11*l**2 + 16*l + 42. Let u be h(-9). Let t be 1/(-6) - (-10)/u. What is c in -1/5*c**2 + t - 1/5*c**3 + 0*c = 0?
-1, 0
Let s be 0 + 18/14 + -1. Let m = 620364 + -620360. Let -2/7*c**2 + 0 - 6/7*c**3 + s*c**5 + 2/7*c**m + 4/7*c = 0. Calculate c.
-2, -1, 0, 1
Let i = -36338 - -3924509/108. Let h(q) be the second derivative of 2/9*q**2 + 1/180*q**5 + i*q**4 + 22*q + 4/27*q**3 + 0. Factor h(d).
(d + 1)*(d + 2)**2/9
Let u = 13073 + -26141/2. Let f(i) be the first derivative of 0*i + 2/5*i**5 + u*i**4 + 0*i**3 + 0*i**2 + 20. Factor f(h).
2*h**3*(h + 5)
Let r(z) be the third derivative of 1/72*z**6 + 30*z**2 + 0*z + 0*z**4 + 0*z**5 + 0 + 5/6*z**3. Let b(m) be the first derivative of r(m). Factor b(w).
5*w**2
Let t(w) be the first derivative of w**6/30 + 3*w**5/4 + 7*w**4 + 104*w**3/3 + 96*w**2 - 7*w + 79. Let h(k) be the first derivative of t(k). Factor h(p).
(p + 3)*(p + 4)**3
Find k such that 39*k**2 - 23 + 79*k**2 + 3*k**3 - 175*k - 21 - 290*k**2 + k**3 = 0.
-1/2, 44
Let t(l) = l + 120. Let i be t(0). Suppose 0 = -38*a + 74 + 40. Factor -8*d**3 + i*d**5 + 4*d - 116*d**5 + 0*d**a.
4*d*(d - 1)**2*(d + 1)**2
Factor -98159*r + 71*r**2 - 59*r**2 + 98156*r - 264*r**2.
-3*r*(84*r + 1)
Let a = 35 - 5. Suppose 0 = -5*j - 5*j + a. Factor 9*s**3 - j*s**2 - 9*s**3 + 6*s**3 - 3*s + 0*s.
3*s*(s - 1)*(2*s + 1)
Suppose 3*d + 12 = 3*k, 8 = k + 3*d + 12. Let o(l) be the first derivative of -2/5*l**5 + 1/3*l**6 - 2*l + 4/3*l**3 + 4 + l**k - l**4. Solve o(n) = 0 for n.
-1, 1
Solve -296*a**2 - 1488/5 + 2972/5*a - 4/5*a**3 = 0.
-372, 1
Let i(g) = -5*g**2 - 17*g + 18. Let q(y) = -6*y**2 - 19*y + 17. Let f(w) = -5*i(w) + 4*q(w). Let f(t) = 0. Calculate t.
-11, 2
Let o(w) be the second derivative of -3*w**5/80 - 39*w**4/16 - 71*w**3/8 + 333*w**2/8 - 98