245 - 13*t**6/105 + 11*t**5/21 + 1314*t**2. Factor s(b).
4*b**2*(b - 5)*(3*b - 11)/7
Let f(y) be the second derivative of -12*y**2 - 5/6*y**3 - 2 + 61*y + 1/12*y**4. Factor f(l).
(l - 8)*(l + 3)
Suppose -2/11*t**2 - 94/11*t + 96/11 = 0. Calculate t.
-48, 1
Let j(i) be the first derivative of -i**4/16 + 35*i**3/12 - 121*i**2/4 + 52*i + 3923. Factor j(x).
-(x - 26)*(x - 8)*(x - 1)/4
Let d(r) = 9415*r - 47057. Let i be d(5). Let j = 715 - 3551/5. Factor -6/5*c**4 - j - 42/5*c**3 - i*c**2 - 78/5*c.
-6*(c + 1)**3*(c + 4)/5
Suppose 3*f + 50 = -7*f. Let s(q) = 7*q**3 + 24*q**2 + 67*q. Let z(j) = -20*j**3 - 72*j**2 - 202*j. Let o(y) = f*z(y) - 14*s(y). Find t, given that o(t) = 0.
-6, 0
Find s such that -8 - 86/15*s + 8/15*s**2 = 0.
-5/4, 12
Suppose -2*l - 132 = -42. Let u be l/(-90)*6/7. Find h, given that u*h**2 - 48/7*h + 192/7 = 0.
8
Factor 20*s**3 + 22*s**3 - 441*s - 858 + 22*s**3 - 6*s**3 - 55*s**3.
3*(s - 13)*(s + 2)*(s + 11)
Factor -2/9*t**3 - 214/9*t**2 + 832/9 - 616/9*t.
-2*(t - 1)*(t + 4)*(t + 104)/9
Let n = -341 + 349. Suppose 2*b = 4 - 12, -5*f - n = 2*b. Factor f*l - 3/4*l**2 + 0 + 3/4*l**3.
3*l**2*(l - 1)/4
Suppose 8 = -24*b + 28*b. Suppose 0*d = -b*d + 16. Factor -d*s + 5*s**2 - 3*s**2 + 0*s**2 - 19 + 27.
2*(s - 2)**2
Let j = -100 + 107. What is y in -j*y**2 - 112*y - 47*y**5 + 36*y**3 + 45*y**5 + 10*y**4 - 33*y**2 = 0?
-2, 0, 2, 7
Let g(q) = q**2 + 3*q. Suppose -2*d + 4 - 12 = 0. Let h be g(d). Suppose 6*u**3 - 2*u**3 - u**3 - 5*u**3 - h*u**2 + 2*u**4 = 0. What is u?
-1, 0, 2
Let g(r) be the first derivative of -2*r**3/21 - 180*r**2/7 - 712*r/7 - 3545. Solve g(i) = 0.
-178, -2
Let s = -36571/6 - -6096. Let q(r) be the third derivative of s*r**3 + 0*r + 0 - 5/12*r**4 + 1/12*r**5 - 5*r**2. Determine a, given that q(a) = 0.
1
Let t(g) = -17*g - 301. Let r be t(-18). Let a be r*2/(-4 + 10). Factor 7/3*o + 1/3*o**3 + 1 + a*o**2.
(o + 1)**2*(o + 3)/3
Suppose u = 22*l - 19*l + 1, -3*l = 2*u + 7. Let s(t) = -t. Let n(y) = -12*y**4 - 20*y**3 + 4*y**2 + 14*y + 8. Let j(p) = l*n(p) + 6*s(p). Factor j(g).
4*(g - 1)*(g + 1)**2*(3*g + 2)
Let k(y) = -2*y**2 - 14*y + 32. Let m(i) = -200 + 602 + i**2 - 3*i - 203 - 199. Let a(j) = -k(j) + 2*m(j). Factor a(b).
4*(b - 2)*(b + 4)
Let k(o) = -55*o**3 - 460*o**2 + 4345*o + 2320. Let q(i) = 6*i**3 + 51*i**2 - 483*i - 258. Let b(d) = 4*k(d) + 35*q(d). Suppose b(h) = 0. Calculate h.
-10, -1/2, 5
Let g(c) be the third derivative of -16*c**5/3 - 130*c**4/3 - 845*c**3/6 + 16*c**2 - 12. Solve g(a) = 0 for a.
-13/8
Let u(m) be the third derivative of -m**5/190 - 833*m**4/114 + 1112*m**3/57 - 3698*m**2. Suppose u(n) = 0. Calculate n.
-556, 2/3
Let k(r) be the third derivative of r**11/443520 - r**9/80640 + 19*r**5/20 + 257*r**2. Let c(s) be the third derivative of k(s). Factor c(h).
3*h**3*(h - 1)*(h + 1)/4
Suppose 12*c = 7 - 31. Let n be 384/216 - c/9. Factor 0*l + 0 + 5/6*l**n.
5*l**2/6
Let o(r) be the first derivative of r**3 + 21*r**2/2 - 234*r - 1563. Factor o(a).
3*(a - 6)*(a + 13)
Let w(h) be the third derivative of -5*h**8/336 + 10*h**7/7 + 127*h**6/24 - 91*h**5/6 - 105*h**4/2 + 620*h**3/3 - 3609*h**2. Solve w(a) = 0 for a.
-2, 1, 62
Let c = -1941 - -1956. Suppose -10*x + c*x + 10 = -5*w, -4 = -4*w + 2*x. Factor -8/9 + 2/9*a**2 + w*a.
2*(a - 2)*(a + 2)/9
Let w(d) be the third derivative of d**8/420 - 83*d**7/1050 + 2*d**6/25 + 257*d**5/300 - 173*d**4/60 + 4*d**3 - 31*d**2 + 2*d. Solve w(y) = 0.
-2, 3/4, 1, 20
Let m(f) be the second derivative of 0 + 5/2*f**2 + 5/12*f**4 + 5/3*f**3 + 3*f. Solve m(h) = 0.
-1
Factor -183*o + 30*o**2 - 29*o**2 - 362 - 64*o + 114.
(o - 248)*(o + 1)
Factor 0 + 56/3*p**2 + 1/3*p**3 - 220*p.
p*(p - 10)*(p + 66)/3
Let q = -25606/3 + 8406. Let w = q + 131. Suppose w*b + 25/6 + 1/6*b**2 = 0. Calculate b.
-5
Factor 189*c - 466*c - 92*c - 240 - 301*c - 25*c**2 - 150*c**2.
-5*(5*c + 2)*(7*c + 24)
Let d(v) be the third derivative of -v**5/270 - v**4/27 + 5*v**3/27 + 5*v**2 + 110*v. Factor d(n).
-2*(n - 1)*(n + 5)/9
Let p(z) be the second derivative of -z**5/20 - 97*z**4/24 + 149*z**3/12 - 25*z**2/2 - 377*z - 1. Determine i so that p(i) = 0.
-50, 1/2, 1
Let c be (((-408)/340)/(3/(-15)) + -1*6)/1. Factor c - 1/6*v**2 + 1/2*v.
-v*(v - 3)/6
Let r be (-15)/10*(-92)/(-6). Let m = r - -36. Let 3*y**4 + m - y**3 + 9 - 18 - 7*y**2 + y**5 = 0. What is y?
-2, -1, 1
Let t(a) = -13*a**4 + 179*a**3 - 141*a**2 - 851*a - 528. Let w(q) = -32*q**4 + 448*q**3 - 352*q**2 - 2128*q - 1320. Let p(n) = 12*t(n) - 5*w(n). Factor p(g).
4*(g - 22)*(g - 3)*(g + 1)**2
Factor 192513*g**3 - 35*g**2 - 192518*g**3 - 135*g - 40*g**2 - 65.
-5*(g + 1)**2*(g + 13)
Let f(a) = -28*a**2 + 340*a + 137. Let r(s) = -83*s**2 + 1020*s + 412. Let q(u) = -8*f(u) + 3*r(u). Suppose q(b) = 0. Calculate b.
-2/5, 14
Let 120*q - 10 + 172*q**2 + 18 + 228*q = 0. Calculate q.
-2, -1/43
Solve 32/9*i - 2/9*i**2 + 128/3 = 0 for i.
-8, 24
Let m(z) be the third derivative of -z**6/360 + 287*z**5/36 - 64261*z**4/9 - 257762*z**3/9 - 3575*z**2. Factor m(w).
-(w - 718)**2*(w + 1)/3
Let k(f) be the first derivative of f**6/90 + f**5/10 + f**4/3 + 2*f**3/3 - 20*f**2 - 6. Let j(q) be the third derivative of k(q). Solve j(n) = 0.
-2, -1
Let x = 126579 - 126574. What is q in -24/17 - 32/17*q + 2/17*q**x + 14/17*q**4 + 30/17*q**3 + 10/17*q**2 = 0?
-3, -2, -1, 1
Let d(f) be the third derivative of -f**8/168 + 19*f**7/105 - 23*f**6/10 + 236*f**5/15 - 184*f**4/3 + 128*f**3 + 13048*f**2. Find c, given that d(c) = 0.
1, 4, 6
Let m = 9 - 5. Suppose 3*h - 32 = -2*f, -4*f - 8*h + 6*h = -64. Factor -f*v**3 + 2073 - 2073 - m*v**2.
-4*v**2*(4*v + 1)
Let m be (2/2)/3 + 355/213. Let 9*j**5 + 23*j**4 + 67*j**2 - 57*j**3 + 168*j - 166*j**m + 16*j**4 - 60 = 0. What is j?
-5, -2, 2/3, 1
Let u(h) = 2*h**2 - 32*h + 24. Let m(y) be the third derivative of -y**5/30 + 29*y**4/24 - 4*y**3 + 9*y**2. Let g(o) = -6*m(o) - 5*u(o). Factor g(p).
2*(p - 4)*(p - 3)
Let n(t) be the second derivative of t**7/84 - t**6/6 + 3*t**5/20 + 4*t**4/3 - 47*t**3/12 + 9*t**2/2 - 6*t + 1289. Factor n(s).
(s - 9)*(s - 1)**3*(s + 2)/2
Let n(h) be the third derivative of -h**6/1440 - 3*h**5/160 - 7*h**4/48 + 169*h**3/6 - 38*h**2 + h. Let k(g) be the first derivative of n(g). Factor k(m).
-(m + 2)*(m + 7)/4
Let p(l) = l**4 - 52*l**3 + 324*l**2 - 662*l - 4. Let w(u) = -u**4 + u**3 - 7*u - 2. Let b(j) = p(j) - 2*w(j). Factor b(x).
3*x*(x - 6)**3
Let k be (6/8)/((-21)/(-56)) - -6. Let z(d) = -d**3 + 8*d**2 + 2*d - 4. Let n be z(k). Factor -3*c**2 - c**2 - 3*c**2 - n*c**3 + 48*c**4 - c**2 - 28*c**5.
-4*c**2*(c - 1)**2*(7*c + 2)
Let c = -4357 + 4359. Let b(u) be the first derivative of c*u - 1/9*u**3 - 21 - 1/6*u**2. Factor b(m).
-(m - 2)*(m + 3)/3
Suppose 4310*l + 6 = 4308*l - 3*b, 100 = -3*l - 50*b. Factor -6/5*q**2 + l - 39/5*q**3 - 12*q**4 + 0*q.
-3*q**2*(4*q + 1)*(5*q + 2)/5
Let b(g) be the third derivative of 13*g**5/10 + 367*g**4/56 + 3*g**3/7 + 6247*g**2. Let b(k) = 0. Calculate k.
-2, -3/182
Let v(r) be the third derivative of r**6/360 - 8*r**5/45 - 103*r**4/72 - 35*r**3/9 - 337*r**2. Factor v(q).
(q - 35)*(q + 1)*(q + 2)/3
Let q(v) = -3*v**2 + 17*v + 128. Let z(p) = -12*p**2 + 66*p + 516. Let m(o) = 21*q(o) - 5*z(o). Solve m(g) = 0 for g.
-3, 12
Let b(v) = 16*v**4 + 2*v**3 - 7*v**2 + 7*v + 33. Let x(y) = y**4 - y**3 - y**2 + y + 3. Let d(p) = 4*b(p) - 44*x(p). Determine i so that d(i) = 0.
-2, -1, 0, 2/5
Let v(p) be the second derivative of -p**4/60 - p**3/30 + 6*p**2/5 - 2131*p. Let v(u) = 0. Calculate u.
-4, 3
Let v(a) be the second derivative of -a**9/37800 + a**7/6300 - a**4/3 - 3*a**2 + 50*a. Let t(d) be the third derivative of v(d). Factor t(w).
-2*w**2*(w - 1)*(w + 1)/5
Let j(f) be the first derivative of f**4/4 - 3*f**3 + 27*f**2/2 - 27*f - 646. Let j(d) = 0. Calculate d.
3
Suppose 5*s - 11 = -2*c, -s = -5*c - 5 - 8. Let a(j) be the second derivative of -1/3*j**4 - 2*j**s + 0 + 0*j**2 - 23*j. Let a(t) = 0. What is t?
-3, 0
Let y(w) be the first derivative of -2*w**6/9 - 176*w**5/15 - 437*w**4/3 + 4232*w**3/9 - 2347. Let y(b) = 0. Calculate b.
-23, 0, 2
Let b be 30/165 + (-40)/(-22). Factor -12*w**b - 32*w - w**3 - 2*w**5 - 14*w**2 - 17*w**2 - 5*w**2 - w**3 + 12*w**4.
-2*w*(w - 4)**2*(w + 1)**2
Let c(k) be the second derivative of -k**5/40 + 87*k**4/2 - 22707*k**3 - 43*k + 49. Factor c(h).
-