s + 4/3*f**4.
-4*f*(f - 1)**3*(f + 2)/3
Let m = 3498 - 41975/12. Let l(o) be the second derivative of 0 - 3/8*o**3 + 1/4*o**2 + m*o**4 + 12*o. Determine p, given that l(p) = 0.
1/4, 2
Let a be ((-50)/(-15))/(20/12). Let l(w) be the second derivative of -1/30*w**6 - 7*w + 1/10*w**5 + 0 - 1/12*w**4 + 0*w**3 + 0*w**a. Factor l(v).
-v**2*(v - 1)**2
Let p = -49 + 155. Find z such that 53*z**2 - z - p*z**2 + 52*z**2 = 0.
-1, 0
Let l(v) be the second derivative of -v**4/12 - 4*v**3/3 - 6*v**2 + 64*v. Suppose l(j) = 0. What is j?
-6, -2
Let g(v) be the first derivative of v**6/21 - 64*v**5/35 + 139*v**4/14 - 72*v**3/7 - 949. Suppose g(d) = 0. Calculate d.
0, 1, 4, 27
Suppose 0 = 39*o - 2482 + 142. Factor o - 64*q**2 - 36*q**3 - 145*q + 21*q**3 + 0*q**2 - 36*q**2.
-5*(q + 3)*(q + 4)*(3*q - 1)
Let u = 28 + -26. Let d be (-6)/18*12*-1. Determine i, given that 0*i - 4*i**3 - 5*i**u - 70*i**d - 2*i + 69*i**4 = 0.
-2, -1, 0
Let d(o) = -o**4 - o**3 + 3*o**2 - o. Let p(b) = 2*b**5 - 40*b**4 + 316*b**3 - 972*b**2 + 982*b. Let m(n) = -4*d(n) - 2*p(n). Determine l so that m(l) = 0.
0, 2, 5, 7
Let p(r) = 2*r**2 + 8*r - 3. Let l(j) = -4*j**2 - 864*j + 9. Let g(h) = 2*l(h) + 6*p(h). Factor g(o).
4*o*(o - 420)
Let u(f) be the third derivative of f**5/300 - 41*f**4/40 + 61*f**3/15 + 1177*f**2. Factor u(i).
(i - 122)*(i - 1)/5
Let s(k) be the second derivative of 0*k**2 - 2/3*k**3 - 7/6*k**4 - 3/10*k**5 + 0 + 27*k. Find o, given that s(o) = 0.
-2, -1/3, 0
Suppose -90 = 2*a + 4*a. Let v = 18 + a. Factor -1 - 2*d**2 - 3*d**3 + 5*d**2 - 2 + v*d.
-3*(d - 1)**2*(d + 1)
Suppose 0*v**5 + 782*v**4 + 75272*v**2 - 2*v**5 - 76048*v**3 - 4*v**4 = 0. Calculate v.
0, 1, 194
Let p(n) be the third derivative of 0*n + 24*n**2 - 7/160*n**6 + 13/120*n**5 - 1/6*n**3 + 0 - 1/96*n**4. Factor p(m).
-(m - 1)*(3*m + 1)*(7*m - 4)/4
Let l(u) be the first derivative of 4*u**3/9 + 440*u**2/3 + 552. Factor l(r).
4*r*(r + 220)/3
Let j(f) be the first derivative of 3*f**4/22 - 14*f**3/11 - 210*f**2/11 - 624*f/11 + 9169. Factor j(v).
6*(v - 13)*(v + 2)*(v + 4)/11
Let k(a) = 13*a**4 + 8*a**3 - 34*a**2 - 8*a + 3. Let u(z) = -3*z**4 - 2*z**3 + 8*z**2 + 2*z - 1. Let t(l) = -2*k(l) - 9*u(l). Suppose t(b) = 0. What is b?
-3, -1, 1
Let h be 266/30 - (-864)/480. What is i in -h + 2/3*i**2 + 0*i = 0?
-4, 4
Let d(g) be the third derivative of -g**5/240 + 37*g**4/32 - 107*g**3/6 + g**2 + 6*g + 36. Let d(o) = 0. What is o?
4, 107
Suppose -22*p - 52*p + 270 = -20*p - 0. Let 3/2 + 7/2*b**2 - p*b = 0. Calculate b.
3/7, 1
Let f(c) be the first derivative of -2*c**6/3 - 516*c**5/5 + 134*c**4 + 688*c**3 - 1040*c**2 - 169. Determine o so that f(o) = 0.
-130, -2, 0, 1, 2
Suppose 5*g - 4*k = 40, -2*g - 73*k + 18 = -75*k. Find r, given that -3/4*r**5 - 9/4*r**3 - 9 - 15/4*r**g + 39/4*r**2 + 6*r = 0.
-3, -2, 1
Suppose -6*m + 11*m + 5 = 0, -5*g = -4*m - 119. Let i(o) be the second derivative of -1/24*o**4 + o**2 - g*o + 0*o**3 + 0. Solve i(n) = 0.
-2, 2
Let l(p) be the first derivative of p**6/27 + 11*p**5/45 + p**4/2 + 8*p**3/27 - 2*p**2/9 - p/3 + 2441. Factor l(z).
(z + 1)**3*(z + 3)*(2*z - 1)/9
Factor 0*t**2 - 11 + 3*t**2 - 237*t + 65 - 54.
3*t*(t - 79)
Let r(g) = -g**2 - 18*g - 69. Let w = 1388 + -1400. Let j be r(w). Factor 0*a**2 + 0 - 4/23*a**j + 0*a + 2/23*a**4.
2*a**3*(a - 2)/23
Solve -139*y**2 + 96*y - 96*y**3 + 18829 - 194*y**2 - 18493 - 3*y**4 = 0 for y.
-28, -4, -1, 1
Let y = 289567/45 + -57908/9. Factor -6/5 - 9/5*u + 3/5*u**2 + 9/5*u**3 + y*u**4.
3*(u - 1)*(u + 1)**2*(u + 2)/5
Factor 1/2*s**3 + 0*s + 830*s**2 + 0.
s**2*(s + 1660)/2
Let f(v) be the second derivative of v**5/180 + v**4/4 - v**3/54 - 3*v**2/2 - 194*v + 9. Factor f(g).
(g - 1)*(g + 1)*(g + 27)/9
Let v = 236426/3 - 78808. Find h such that v*h**2 + 512/3 + 64/3*h = 0.
-16
Let a(b) be the second derivative of -b**4/12 + 29*b**3/6 + 66*b**2 - 337*b. Let k be a(33). Let k + 2/9*n**2 + 10/9*n**3 - 2/9*n**4 - 10/9*n = 0. What is n?
-1, 0, 1, 5
Let n = -764 - -766. Suppose -5*h + a = n, -h - 46*a - 4 = -48*a. Factor 32/3*z + 20/3*z**4 + 22*z**3 + h + 2/3*z**5 + 80/3*z**2.
2*z*(z + 1)**2*(z + 4)**2/3
Let w be 5/3*(-13)/(-195)*24. Let d(i) be the first derivative of -w*i**2 - 10/9*i**3 + 17 - 1/6*i**4 - 8/3*i. Solve d(x) = 0.
-2, -1
Let n = 18045 + -18045. Find t, given that n + 20*t - 5/3*t**2 = 0.
0, 12
Suppose -64*q + 188/19*q**3 + 50/19*q**4 + 2/19*q**5 + 1280/19 - 16*q**2 = 0. What is q?
-20, -4, 1, 2
Let y(c) be the second derivative of -3*c**4 - 1/5*c**5 - 3 + 8*c - 22*c**2 + 14*c**3. Factor y(t).
-4*(t - 1)**2*(t + 11)
Suppose -3*b = -3*h + 4*h - 1261, -2526 = -2*h - 2*b. Let v = h - 3772/3. Find n, given that -5*n**2 - 5/6*n**3 + 25/2*n - v = 0.
-8, 1
Let f(w) be the third derivative of 13/168*w**4 + 40*w**2 + 0*w**3 + 0*w + 1/840*w**6 + 0 - 1/30*w**5. Factor f(v).
v*(v - 13)*(v - 1)/7
What is m in 165*m**2 - 55*m - 60*m + 25*m + 33*m**4 + 348*m**3 - 60*m = 0?
-10, -1, 0, 5/11
Suppose -3*b - 31 = -4, -10*b + 7*b - 15 = 4*l. Let 8/5*h**2 - 1/5*h**l - 7/5*h + 0 = 0. What is h?
0, 1, 7
Let k(r) be the first derivative of r**4/8 - 7*r**3 + 147*r**2 - 1372*r + 1765. Factor k(l).
(l - 14)**3/2
Let v(t) be the third derivative of 12*t**5/5 + 170*t**4 + 14450*t**3/3 - 4*t**2 + 54. Factor v(a).
4*(6*a + 85)**2
Let b be (-990)/550 - 2/(-10)*689/26. Determine y so that b*y - 7/2*y**3 + 0 - 1/2*y**2 + 1/2*y**4 = 0.
-1, 0, 1, 7
Let k = -7133/3 + 14305/6. Factor -6 + 23/2*b**2 - k*b + b**3.
(b - 1)*(b + 12)*(2*b + 1)/2
Let l(j) = 180*j**2 + 179495*j - 435. Let w(o) = 5*o**2 + 4986*o - 12. Let n(s) = -4*l(s) + 145*w(s). Suppose n(m) = 0. What is m?
-998, 0
Let y(d) = 6 + 21 + 445*d + 4*d**2 - 24*d**2 + d**3 - 471*d - 4*d**2. Let j be y(25). Suppose 12*w**j - 24/5*w**3 + 18/5 + 2/5*w**4 - 56/5*w = 0. What is w?
1, 9
Let j(s) be the third derivative of -s**5/30 + 83*s**4/6 + 27*s**2 + 32*s - 2. Factor j(p).
-2*p*(p - 166)
Let h be (-27)/(3*(2 - (-15)/(-9))). Let t be (-6)/(h/36*12). Determine a so that -t*a**3 - 486 - 18*a**2 - 162*a = 0.
-9
Let o(s) be the second derivative of -s**6/40 + s**5/4 + 7*s**4/4 + 247*s**2/2 + 98*s. Let n(t) be the first derivative of o(t). Factor n(x).
-3*x*(x - 7)*(x + 2)
Let g be (-42)/(-12) + 15/6 + -3. Factor -156*s**2 - 121*s + s**3 + 7*s + g*s**3 - 46*s.
4*s*(s - 40)*(s + 1)
Factor -5118*s**3 - 121835*s**2 - 6818*s**3 + 399*s**4 + 156*s**4 - 5*s**5 - 1339*s**3.
-5*s**2*(s - 59)**2*(s + 7)
Suppose 5*t - 42 = -2*h, -3*t + 202 - 223 = -3*h. Factor 0 - 15/2*z**5 + 24*z**t - 3/2*z - 27*z**3 + 12*z**2.
-3*z*(z - 1)**3*(5*z - 1)/2
Let m = 289 + -158. Solve -69*p - 70*p - 10580 - m*p - 5*p**2 - 278*p + 88*p = 0.
-46
Let n be ((-8)/52 - (-44)/(-52))*-2. Factor 108*c**n - 184*c - 57*c**2 - 2116 - 55*c**2.
-4*(c + 23)**2
Let c(f) be the first derivative of -f**6/40 + f**4/2 + 155*f**2/2 - 67. Let y(m) be the second derivative of c(m). Find i, given that y(i) = 0.
-2, 0, 2
Let f(q) be the third derivative of -q**6/40 - q**5/2 - q**2 + 408*q - 1. Factor f(c).
-3*c**2*(c + 10)
Let j(b) be the third derivative of 0*b**5 + 0*b**3 + 188*b**2 + 0*b**4 + 2/315*b**7 - 23/90*b**6 + 0*b + 0. Factor j(w).
4*w**3*(w - 23)/3
Let x(h) be the third derivative of -8*h**7/105 - 5*h**6/8 - 103*h**5/60 - h**4 + 10*h**3/3 + 3350*h**2. Factor x(z).
-(z + 1)*(z + 2)**2*(16*z - 5)
Suppose 2/5*k**3 + 18*k**2 + 6048/5 + 1296/5*k = 0. What is k?
-21, -12
Suppose -2 = -3*l + 7. Suppose -3*i - 12 = c, -3*i - 16 = -l*c + i. Determine b, given that -6/7*b**3 + 0 + 3*b**5 + c*b + 0*b**2 - 15/7*b**4 = 0.
-2/7, 0, 1
Let k(l) = -l - 4. Let j be k(-4). Suppose j = 4*f + 5*f - 18. Factor 20*q - 5*q**3 + 5*q**f - 6*q**3 + 15*q**3 - 29*q**2.
4*q*(q - 5)*(q - 1)
Let b be -3*4/(-6)*21/14. Determine p, given that -69*p**3 + 144*p**b - 73*p**3 - 6*p**2 + 4*p = 0.
0, 1, 2
Let t be (0 - 0)/(((-1050)/300)/((-1)/2)). Factor -2/3*y**5 + 0*y**4 + t*y**2 + 0 + 2/3*y**3 + 0*y.
-2*y**3*(y - 1)*(y + 1)/3
Let n(i) be the first derivative of -26 + 1/4*i**2 - 1/8*i**4 + 1/3*i**3 - i. Factor n(l).
-(l - 2)*(l - 1)*(l + 1)/2
Let x = 277332711/385 - 720343. Let z = x + 4/385. Let -4/7*w - z*w**4 + 12/7*w**2 + 4/7*w**3 + 0 = 0. Calculate w.
-1, 0, 1/3, 1
Let d = -60 + 69. Suppose 0 = 7*v - d*v + 6. Determine y, given that 5*y - 5*y + 2*y**v + 0*y**3 - 2*y = 0.
-1, 0, 1
Let v(s) be the second de