6*t**3 + 11290*t**2.
-(t - 45)*(3*t - 2)**4
Let z(w) be the third derivative of w**8/112 + w**7/10 + 2*w**6/5 + 2*w**5/5 - 2*w**4 - 8*w**3 - 40*w**2 + 1. Factor z(s).
3*(s - 1)*(s + 2)**4
Let x be 2/9 - (-400)/144. Suppose -x*r - 35 = -10*r. Suppose 2*q**4 - 4/7*q**3 + 0 - 8/7*q**r + 0*q - 2/7*q**2 = 0. What is q?
-1/4, 0, 1
Let s(k) = -k**2 + 3*k + 57. Let m be s(-6). Let n be m/(7/(140/15)) - 4. Factor 2/7*a**4 + 0 - 2/7*a**3 - 4/7*a**2 + n*a.
2*a**2*(a - 2)*(a + 1)/7
Let v(a) be the first derivative of -2*a**3/27 + a**2/3 + 8*a/9 - 213. Factor v(b).
-2*(b - 4)*(b + 1)/9
Let n = 15 + -12. Suppose 0*w = -n*w + 18. Factor -3*u**2 + w*u - 5*u + 2*u**2.
-u*(u - 1)
Let r(o) be the second derivative of o**4/12 - 29*o**3 + 7569*o**2/2 + 191*o. Factor r(w).
(w - 87)**2
Suppose -b - 7 = 2*w, b + 2 = -w - 0*w. Factor -3*d - 38*d**2 + 36*d + 2*d**2 - 15*d**b + 18.
-3*(d - 1)*(d + 3)*(5*d + 2)
Let c = -39 - -11. Let o = 30 + c. Factor -72 + 75 + o*v**2 - v**2 + 4*v.
(v + 1)*(v + 3)
Let j(x) be the first derivative of x**4/4 - x**3/3 - 8*x**2 - 20*x + 51. What is d in j(d) = 0?
-2, 5
Find a, given that 3/4*a**4 - 45*a**3 + 1257/2*a**2 + 2883/4 + 1395*a = 0.
-1, 31
Let u = -1/4 - -7/16. Let y(k) be the first derivative of -u*k**4 + 3/8*k**2 + 4 - 1/4*k + 1/12*k**3. Factor y(d).
-(d - 1)*(d + 1)*(3*d - 1)/4
Let s be 4*(-1)/(-4)*2. Let r be (3 - 2)/(1/s). Factor -4*z - 6 - 2/3*z**r.
-2*(z + 3)**2/3
Let l(i) be the third derivative of i**6/60 + 7*i**5/60 - i**4/3 - 14*i**3/3 - 244*i**2 + i. Determine g, given that l(g) = 0.
-7/2, -2, 2
Let b(d) be the third derivative of d**5/270 - 55*d**4/108 + 259*d**2. Factor b(o).
2*o*(o - 55)/9
Let i be 10/((-180)/33) - -2. Let -i + 1/6*s**2 + 0*s = 0. What is s?
-1, 1
Factor 16/7*l + 2*l**2 - 2/7*l**3 + 0.
-2*l*(l - 8)*(l + 1)/7
Factor -3/4*z**2 + 6 + 3/2*z.
-3*(z - 4)*(z + 2)/4
Let f(h) be the first derivative of -2*h**6/3 + 24*h**4 - 256*h**3/3 + 96*h**2 + 570. Solve f(o) = 0.
-6, 0, 2
Let f + 4 - 1233*f**3 - 2*f**2 + 4*f**4 + f**5 - 3*f**2 + 1231*f**3 - 3*f**2 = 0. Calculate f.
-4, -1, 1
Factor 0 + 34/3*r**2 - 289/3*r - 1/3*r**3.
-r*(r - 17)**2/3
Let q(y) be the second derivative of -y**7/7 + 16*y**6/15 - 12*y**5/5 + 16*y**3/3 - 84*y. Find s such that q(s) = 0.
-2/3, 0, 2
Let l be 26/(-8)*(8 - 4). Let n = l + 13. Factor n*p**2 + 2/3*p**3 - 4/3 - 2*p.
2*(p - 2)*(p + 1)**2/3
Let b = 25 + -13. Suppose 0 = -2*r + b - 8. Factor 0*d + 4/5*d**r - 2/5 + 0*d**3 - 2/5*d**4.
-2*(d - 1)**2*(d + 1)**2/5
Let s(d) = d**3 + 11*d**2 + 13*d + 302. Let i be s(-12). Find m, given that -3*m - 1/2 - 9/2*m**i = 0.
-1/3
Let k(i) = -5*i**2 + 775*i - 755. Let y(q) = -7*q**2 + 1162*q - 1131. Let m(g) = 8*k(g) - 5*y(g). Factor m(x).
-5*(x - 77)*(x - 1)
Let i(o) = 8*o**2 + 59*o + 110. Let j(z) = 12*z**2 + 89*z + 166. Let x(g) = -7*i(g) + 5*j(g). Let x(n) = 0. Calculate n.
-5, -3
Suppose 0 = -3*g - 2*q - 2, -4*g = q - 0 + 1. Let h = 2 - g. Suppose l**4 + h*l**3 - l - 7*l**3 + 2*l**3 + 3*l**2 = 0. Calculate l.
0, 1
Let t = 453/2365 - -4/473. Suppose -t*v**2 - 6/5 - v = 0. What is v?
-3, -2
Let 34735 - o**2 + 7731 + 6*o**2 - 64*o - 3746 - 816*o = 0. Calculate o.
88
Let y(d) be the second derivative of d**6/2880 + d**5/60 + d**4/3 + 11*d**3/6 - 34*d. Let k(r) be the second derivative of y(r). Factor k(l).
(l + 8)**2/8
Suppose -b - 23 = -5*v, -3*b + 5*v = 19 - 0. Let y be 5/35*b - 0. Factor 2/7*g**2 - 2/7 - 2/7*g + y*g**3.
2*(g - 1)*(g + 1)**2/7
Let v be ((-8)/15)/((-108)/30). Let n = v + 5/27. Factor 1/6*a**2 + 0*a + 0 - n*a**3 + 1/6*a**4.
a**2*(a - 1)**2/6
Find d, given that 12*d**4 - 66*d**3 + 33*d**3 + 2*d**2 + 39*d**4 + 4*d**2 - 18*d**5 = 0.
0, 1/3, 1/2, 2
Let t = 332 + -316. Factor 1/4*j**3 + 12*j + 3*j**2 + t.
(j + 4)**3/4
Suppose x + 15 = 17. Suppose -4*p + 12 = -0. Factor -p*t**4 - 7*t**2 + 0*t**2 + 0*t**x + 4*t**2 + 6*t**3.
-3*t**2*(t - 1)**2
Let a(l) = -l**3 + 3*l**2 + 4*l. Suppose -z + 3 + 2 = 0. Let u(q) = -z*q - 2*q - 4*q + 4*q**3 - 10*q**2. Let x(t) = -17*a(t) - 6*u(t). Factor x(g).
-g*(g - 1)*(7*g - 2)
Suppose -127*x + 16129 + 1/4*x**2 = 0. What is x?
254
Let u(y) be the third derivative of -y**7/105 + 13*y**5/30 + y**4 - 58*y**2. Factor u(z).
-2*z*(z - 4)*(z + 1)*(z + 3)
Let n = -22 + 18. Let v(a) = 15*a**4 - 195*a**3 + 70*a**2 + 55*a + 55. Let l(s) = s**4 - 14*s**3 + 5*s**2 + 4*s + 4. Let k(q) = n*v(q) + 55*l(q). Factor k(r).
-5*r**2*(r - 1)**2
Let p(h) be the first derivative of -h**3 - 9*h**2/2 - 6*h - 52. Suppose p(v) = 0. What is v?
-2, -1
Let b(u) be the first derivative of 2 - 2/3*u**2 - 10/9*u**3 + 2*u. Factor b(m).
-2*(m + 1)*(5*m - 3)/3
Find t such that -2*t**2 - 180*t + 2456 + 244 + 5*t**2 = 0.
30
Let g(l) be the third derivative of -l**6/360 + 13*l**5/180 - 4*l**4/9 + 10*l**3/9 - 26*l**2. Solve g(h) = 0.
1, 2, 10
Let f(i) be the first derivative of -20 - 1/42*i**6 + 3/14*i**4 + 4/35*i**5 - 5/14*i**2 + 0*i - 4/21*i**3. Solve f(u) = 0.
-1, 0, 1, 5
Suppose -13*z + 522135 - 3921778 = 0. Let h = -1303161/5 - z. Factor h*k**5 - 2668/5*k**2 - 10816/5*k**4 + 344/5*k + 8762/5*k**3 - 16/5.
2*(k - 1)**2*(13*k - 2)**3/5
Solve 8/13*w + 282/13*w**5 - 110/13*w**3 + 28*w**4 + 0 - 184/13*w**2 = 0.
-1, 0, 2/47, 2/3
Let n = -186 + -19. Let o be (-861)/n + (1 - 5)*1. Determine w so that -4/5*w + o*w**4 - 4/5*w**2 + 1/5*w**3 + 0 = 0.
-2, -1, 0, 2
Let x(v) = -v**2 + 2 + 0 - 3. Let z(s) be the second derivative of -s**6/15 + 3*s**5/10 - s**4 + s**3/3 - 3*s**2 - 68*s. Let i(p) = -6*x(p) + z(p). Factor i(m).
-2*m*(m - 1)**3
Suppose -5*h - y = y, -3*y - 5 = 5*h. Let s(p) = p. Let n be s(h). Factor -4*q - 4*q**3 - 8*q**n + 8 - 8.
-4*q*(q + 1)**2
Let j(d) = -d**3 - d**2 - 1. Let l(i) = 8*i**3 + 3*i**2 - 15*i - 7. Let r = 56 + -59. Let y(c) = r*j(c) - l(c). Solve y(u) = 0 for u.
-1, 2
Let i(t) = -19 + 9*t - 16*t + t**2 - t - t. Let j be i(-2). Determine q, given that 1/3 + 1/3*q**4 - 4/3*q + 2*q**2 - 4/3*q**j = 0.
1
Suppose -3*l - 5*i + 3 = -19, -3*l - 4*i = -20. Suppose -2*u + u + 3*k = -11, k = -l*u + 5. Find a, given that 6 - a**2 - a - 2*a**2 - u*a = 0.
-2, 1
Let n(w) = w**3 + w**2 + w + 1. Let x(j) = -12*j**3 - 46*j**2 - 60*j - 26. Let u(c) = -4*n(c) - 2*x(c). Solve u(h) = 0.
-12/5, -1
Let w(q) be the third derivative of -q**5/40 + q**4/4 + 7*q**2 - 1. Factor w(t).
-3*t*(t - 4)/2
Let u(q) be the first derivative of -2*q**5/25 - 3*q**4/10 - 2*q**3/15 + 3*q**2/5 + 4*q/5 - 58. Solve u(h) = 0 for h.
-2, -1, 1
Let l(x) = 2*x**2 + 656*x - 54458. Let y(a) = -5*a**2 - 1969*a + 163372. Let w(i) = -11*l(i) - 4*y(i). Suppose w(k) = 0. What is k?
165
Let u(d) be the third derivative of -3*d**8/616 + 13*d**7/385 - 43*d**6/660 - 7*d**5/330 + 4*d**4/33 + 4*d**3/33 + d**2 - 15*d. Suppose u(b) = 0. What is b?
-1/3, 1, 2
Let a be 4/616*-309 + 2. Let f = a + 1123/154. What is o in f*o**3 + 39/7*o + 6/7 + 12/7*o**4 + 72/7*o**2 = 0?
-2, -1, -1/4
Let f(y) be the third derivative of 0 - 1/84*y**8 + 8/105*y**7 + 0*y + 0*y**4 + 1/10*y**6 + 13*y**2 + 0*y**3 - 6/5*y**5. Factor f(a).
-4*a**2*(a - 3)**2*(a + 2)
Let g = 43452 - 738666/17. Let -2/17*s**4 - 10/17*s**3 - 4/17 - g*s**2 - 14/17*s = 0. Calculate s.
-2, -1
Let o(v) be the second derivative of -v**6/90 - 2*v**5/15 - v**4/2 - 7*v**3/6 - 10*v. Let s(l) be the second derivative of o(l). Factor s(d).
-4*(d + 1)*(d + 3)
Let s(f) = -f**3 + 1. Let w(q) be the first derivative of q**4/4 + 4*q**3/3 + 3*q + 28. Let u(k) = -3*s(k) + w(k). Factor u(i).
4*i**2*(i + 1)
Factor -20*r + 3*r**3 + 8/3*r**2 + 0 + 1/3*r**4.
r*(r - 2)*(r + 5)*(r + 6)/3
Let r(t) be the third derivative of -t**5/100 - t**4/4 + 11*t**3/10 + 56*t**2. Find w, given that r(w) = 0.
-11, 1
Let r(x) be the third derivative of -9/20*x**5 + 0 - 1/70*x**7 + 0*x - 1/8*x**6 - 7/8*x**4 - x**3 + 16*x**2. Solve r(k) = 0 for k.
-2, -1
Let q = -10 + 14. Suppose t + 0*t + 3*h - 46 = 0, -3*t + 4*h = -86. Solve 32*u**q + 20*u + 0 + 1 - 64*u**2 + t*u**4 - 3 + 52*u**3 - 72*u**5 = 0.
-1, 1/4, 1/3, 1
Suppose 5*y - 5*k - 130 = 0, -3*k = -y - y + 47. Solve -74*t**3 + y*t**3 + 38*t**3 + 5*t**2 = 0 for t.
0, 1
Let -3/2*h**4 + 3*h - 4 - 5/4*h**3 + 4*h**2 - 1/4*h**5 = 0. Calculate h.
-4, -2, 1
Factor 0 + 768/7*y + 3/7*y**3 - 96/7*y**2.
3*y*(y - 16)**2/7
Let y(v) be the second derivative of -289*v**5/4 - 1955*v**4/12 - 185*v**3/2 - 45*v**2/2 + 3*v - 3. What is j in y(j) = 0?
-1, -