actor -12*x**2 - 13*x**t + 7*x**2 - 2*x**3.
-5*x**2*(3*x + 1)
Let k be ((-6)/(-8))/((-8)/(-32)). Let j = 4 + -1. Solve j*b**2 + 2*b + 5*b**k - 3*b**3 + b**2 = 0 for b.
-1, 0
Let s(h) be the third derivative of 49*h**5/20 - 47*h**4/8 - h**3 + 34*h**2. Factor s(g).
3*(g - 1)*(49*g + 2)
Factor 398*q**2 + 200*q + 51 - 2*q**4 - 16 - 18 - 17 + 196*q**3.
-2*q*(q - 100)*(q + 1)**2
Let c(j) be the first derivative of -2*j**5/15 + j**4/6 + 2*j**3/9 - j**2/3 - 223. Solve c(n) = 0.
-1, 0, 1
Suppose -1704*l - 34 = -1740*l + 38. Factor -4/11*p**4 + 0*p + 6/11*p**l + 0 - 10/11*p**3.
-2*p**2*(p + 3)*(2*p - 1)/11
Let b(i) be the second derivative of 2*i**7/21 - 4*i**6/15 - 3*i**5/5 + 4*i**4/3 + 8*i**3/3 - 209*i. What is t in b(t) = 0?
-1, 0, 2
Let q = -22 + 27. Suppose q*u - 5*a - 4 = 26, 5*a = 20. Find m such that 3*m**5 + u*m**3 - 12*m**4 + 6*m**3 - 4*m**3 - 15*m + 6*m**2 + 6 = 0.
-1, 1, 2
Let h be ((-8)/(-32))/((-1)/(-20)). Suppose h*j = 12*j - 21. What is g in 1/2*g**4 - 3/2 + 0*g**j + 4*g - 3*g**2 = 0?
-3, 1
Factor 0*a - 4/9*a**5 + 0 + 4/9*a**4 + 4/9*a**3 - 4/9*a**2.
-4*a**2*(a - 1)**2*(a + 1)/9
Let m = -331 - -336. Let z(b) be the third derivative of 0*b + 0*b**3 + 1/4*b**4 - 7*b**2 + 0 + 1/30*b**m. Suppose z(o) = 0. What is o?
-3, 0
Let n(t) be the second derivative of -t**6/90 + 121*t**5/30 - 540*t**4 + 28431*t**3 + 177147*t**2/2 - 247*t. Factor n(x).
-(x - 81)**3*(x + 1)/3
Let f be ((-2)/(-14) + (-927)/(-13699))*1/2. Solve -14/19*s - 20/19 - f*s**2 = 0.
-5, -2
Let a(r) be the third derivative of r**8/420 + 2*r**7/105 + r**6/25 - 4*r**5/75 - 4*r**4/15 - 59*r**2. Factor a(l).
4*l*(l - 1)*(l + 2)**3/5
Let l(j) be the first derivative of -j**4/4 - 3*j**3 - 3*j**2 + 16*j + 2. Let s be l(-8). Factor s*p**3 - 3/4*p**4 + 3/4*p**2 + 0 + 0*p.
-3*p**2*(p - 1)*(p + 1)/4
Factor 40/7*o**3 - 78/7*o**2 + 36/7*o + 2/7.
2*(o - 1)**2*(20*o + 1)/7
Determine o, given that 2/11 + 2/11*o**2 + 4/11*o = 0.
-1
Let u = 594 - 592. Let j(q) be the second derivative of -5*q - 3/8*q**4 + 1/2*q**3 + 0*q**u + 3/40*q**5 + 0. Factor j(k).
3*k*(k - 2)*(k - 1)/2
Let c be (10*20/(-150))/(-2). Let f(d) be the first derivative of -d**3 + 3 + 7/6*d**2 - c*d + 5/12*d**4 - 1/15*d**5. Factor f(z).
-(z - 2)*(z - 1)**3/3
What is w in 0 + 39/2*w + 45/4*w**2 - 3/4*w**4 - 9*w**3 = 0?
-13, -1, 0, 2
Suppose -4 + 13/3*v**2 - 11/3*v**3 - 1/3*v**4 + 11/3*v = 0. What is v?
-12, -1, 1
Let g = 1433 + -1429. Let r = -5/18 + 61/90. What is b in 0 + 0*b - 4/5*b**3 + r*b**2 + 2/5*b**g = 0?
0, 1
Let o be (2 + -8)*(2 - 1). Let m be (4/o)/((-4)/30). Let -4*h**5 + 6*h**5 + h**m - 3*h**3 + 3*h**2 - 3*h**4 = 0. Calculate h.
-1, 0, 1
Let b(p) be the third derivative of 1/240*p**6 + 8*p**2 + 0 + 0*p**5 - 1/16*p**4 + 1/6*p**3 + 0*p. Suppose b(g) = 0. What is g?
-2, 1
Let b(a) be the first derivative of 17 + 2/9*a**2 - 2/3*a + 10/27*a**3. Factor b(q).
2*(q + 1)*(5*q - 3)/9
Suppose 0 = -3*h + 5*h - 86. Let k = -43 + h. Factor 0 + k*f + 2/9*f**2 - 2/9*f**3.
-2*f**2*(f - 1)/9
Suppose 15 = 5*m - 5*o, -3 = -2*m - 0*m - o. Let j be m/(13/1 + (-11 - -9)). Factor -4/11*u + j*u**2 - 6/11.
2*(u - 3)*(u + 1)/11
Let a(s) be the third derivative of s**6/180 + 91*s**5/90 + 235*s**4/4 + 225*s**3 - 267*s**2. Find q, given that a(q) = 0.
-45, -1
Let k(y) be the first derivative of -20/7*y**2 + 100/7*y + 4/21*y**3 + 31. Factor k(i).
4*(i - 5)**2/7
Factor 16*c**2 + 4*c**4 + 0 + 32/5*c + 66/5*c**3 + 2/5*c**5.
2*c*(c + 1)**2*(c + 4)**2/5
Factor 5*m**4 + 3*m**3 + 5*m**4 + 5*m**5 - 10*m**3 - 8*m**3.
5*m**3*(m - 1)*(m + 3)
Suppose 0 = 3*q + 3*a - 15, -4*a - 4 = -2*q + 12. Let z be 3/(-2)*-2 + 0. Factor -q*s**3 - 5*s + 5*s**z + 5*s + s.
-s*(s - 1)*(s + 1)
Solve 167042/9 + 2/9*d**2 + 1156/9*d = 0.
-289
Suppose 0 = 3*j + 2*x - 31, -5*x = 5*j - 24 - 31. Let i(g) = 3*g - 21. Let q be i(j). What is b in -2*b**5 - 4 + 4 - 8*b**4 - q*b**3 + 2*b**4 - 2*b**2 = 0?
-1, 0
Solve 37*x**3 + 108*x**2 + 4*x**5 + 12098 - 12098 - 44*x**4 + 29*x**3 - 6*x**3 = 0 for x.
-1, 0, 3, 9
Let s = 10 - 7. Let l be (3 - -1 - s) + 1. Find j, given that -2*j**2 + l - 2*j**2 + 5*j + 6*j**2 - j = 0.
-1
Let w(t) be the first derivative of -98*t**3/3 + 154*t**2 - 242*t + 158. Factor w(m).
-2*(7*m - 11)**2
Suppose 3/5*b**4 + 21*b**2 + 15*b + 0 + 33/5*b**3 = 0. What is b?
-5, -1, 0
Let i be (15/(-4))/(5/((-40)/3)). Determine a, given that a**2 + 21 - 12 - i*a + a**2 - 1 = 0.
1, 4
Solve 3*j**5 - 3526*j**4 - j**5 - 2*j**5 - 448*j**3 + 752*j**2 + 256*j - 1024 - 4*j**5 + 3602*j**4 = 0 for j.
-1, 2, 8
Let i(p) be the second derivative of 1/15*p**3 + 1/10*p**2 + 0 + 18*p + 1/60*p**4. Solve i(m) = 0 for m.
-1
What is u in -13/3*u**2 + 1/3*u**3 - 5 - 29/3*u = 0?
-1, 15
Let b be (9 - 2) + (-37 - -36). Let t(y) be the first derivative of -1/5*y**5 - 2 + y**4 - y**2 - y + 2/3*y**3 - 1/3*y**b. Suppose t(z) = 0. Calculate z.
-1, -1/2, 1
Let a(i) = -46*i + 48*i + 3 + 2*i**2 - 1. Let k be a(-1). Find d, given that -3*d + 5*d**2 + d**k - 4*d**2 - 5*d**2 = 0.
-1, 0
Suppose 6*k - 28 = 5*k. Determine y so that -k*y + 15*y + 12*y**2 - 4*y**5 - 4*y**3 + 21*y - 12*y**4 = 0.
-2, -1, 0, 1
Suppose 4*v - 31 = -w, -6*v - 12 = -7*v + 4*w. Suppose -5*j + v*j = 0. Find s such that s + 5/4*s**3 + j + 2*s**2 + 1/4*s**4 = 0.
-2, -1, 0
Factor 0 - 1/3*i**4 - 25/3*i + 25/3*i**2 + 1/3*i**3.
-i*(i - 5)*(i - 1)*(i + 5)/3
Let d be 176/62 + -5 + -2 + 4. Let r = 46/93 + d. Factor r*w**2 - 2/3 + 1/3*w.
(w - 1)*(w + 2)/3
Let f(c) be the first derivative of -3/2*c**2 + 0*c - 9/4*c**4 - 6 + 3/5*c**5 + 3*c**3. Suppose f(m) = 0. Calculate m.
0, 1
Let z(j) be the third derivative of -2*j**2 + 0 - 1/20*j**5 + 0*j - 3/8*j**4 - j**3. Factor z(l).
-3*(l + 1)*(l + 2)
Let b be 5 + -3 + (-96)/44 - 810/(-825). Factor b*r - 2/5*r**2 + 0.
-2*r*(r - 2)/5
Let h be (12/36)/((-2)/(-18)). Suppose h*s - 24 = 12. Factor -6*r**3 - s*r + 2*r**2 - 4 - r**4 - 4*r**2 - 11*r**2.
-(r + 1)**2*(r + 2)**2
Factor -2/21*x + 4/21*x**2 + 0*x**3 + 2/21*x**5 + 0 - 4/21*x**4.
2*x*(x - 1)**3*(x + 1)/21
Let n(t) = t**3 + 2*t**2 + 2*t + 1. Let q be n(-1). Let b(u) be the second derivative of -3*u - 1/2*u**3 + 3/20*u**5 + 0 + 0*u**2 + q*u**4. Factor b(g).
3*g*(g - 1)*(g + 1)
Let r(d) be the first derivative of -2*d**4/11 - 2*d**3/3 + 19*d**2/11 - 8*d/11 + 78. Solve r(g) = 0.
-4, 1/4, 1
Suppose 2*r = 0, s - 4*r + 2*r = 3. Suppose 4*h - 32 = -4*c, -4*c + 4*h - 5 = s. Factor 2*j**4 + j**4 - c + 11*j - 5*j + 0*j**3 - 6*j**3.
3*(j - 1)**3*(j + 1)
Let w(i) be the second derivative of 1/24*i**4 - 3*i + 0 - 1/12*i**3 - 1/2*i**2. Suppose w(o) = 0. Calculate o.
-1, 2
Let x be 3/(-2 - -5 - 2). Let j(a) be the second derivative of -a + 5/12*a**4 + 0*a**2 + 0*a**x + 0. Factor j(f).
5*f**2
Suppose 52*h - 68 = -4 + 40. Solve -2/11*x - 1/11*x**h - 1/11 = 0 for x.
-1
Suppose 11*r + 6*r + 200 + 8*r + 2*r**2 + 0*r**2 + 15*r = 0. What is r?
-10
Let l(j) be the second derivative of -j**5/60 + j**4/12 + 5*j**3/9 + 395*j. Let l(n) = 0. Calculate n.
-2, 0, 5
Let f(i) be the second derivative of i**7/1890 + i**6/540 - i**5/45 + 3*i**4 - 2*i - 35. Let r(u) be the third derivative of f(u). Factor r(m).
4*(m - 1)*(m + 2)/3
Let x(j) = 5*j**2 - 23*j - 195. Let s be x(9). Suppose -2/3*g**s + 0 + 0*g - 8/3*g**2 = 0. What is g?
-4, 0
Let x = -238 + 241. Suppose -2*w - n + 2*n + 1 = 0, -x*w + 3*n = -3. Factor -o**3 + o**4 + w + 3/4*o**5 + 0*o + 0*o**2.
o**3*(o + 2)*(3*o - 2)/4
Let i(u) = -3*u**4 - 3*u**3 - u**2 - 5*u. Let f(p) = p**4 + p**3 + p. Let z = 33 + -29. Let v be 10/14 - (-4)/14. Let j(h) = v*i(h) + z*f(h). Factor j(q).
q*(q - 1)*(q + 1)**2
Let k be 3/5*21400/4494. Factor -24/7*c + 0 + 4/7*c**4 - k*c**2 + 8/7*c**3.
4*c*(c - 2)*(c + 1)*(c + 3)/7
Let v(b) be the first derivative of -12*b**5/5 + 8*b**4 - 28*b**3/3 + 4*b**2 - 127. Factor v(i).
-4*i*(i - 1)**2*(3*i - 2)
Factor 324/7 - 72/7*o + 4/7*o**2.
4*(o - 9)**2/7
Let n = 0 - 1. Let b(r) = -4*r**3 - r - 1. Let t be b(n). Factor -t*g + g**2 - 7*g**2 - 4*g**3 + 3*g**3 - g**3.
-2*g*(g + 1)*(g + 2)
Suppose -w = -3*a - 2, 6*a = 4*w + 11*a - 8. Factor -6/7 + 8/7*l - 2/7*l**w.
-2*(l - 3)*(l - 1)/7
Let h = 2779/4 - 694. Factor h - 1/4*p**2 - 1/2*p.
-(p - 1)*(p + 3)/4
Suppose 12*l + 11*l + 0*l = 0. Let p(b) be the third derivative of 1/630*b**7 + 0*b**6 + 0*b + 0*b**4 + l - 1/90*b**5 - 3*b**2 + 1/18*b**3. Factor p(o).
(o - 1)**2*(o + 1)**2/3
Let y 