 0.
-2, 1
Let z(x) be the second derivative of -x**4/8 - 7*x**3/4 - 9*x**2/2 + 61*x. Suppose z(y) = 0. Calculate y.
-6, -1
Let k = 142 - 424/3. Let b(c) be the first derivative of -3 - 2*c - k*c**3 + 2*c**2. What is q in b(q) = 0?
1
Suppose n = 4*h - 1, 3*h - 3 = 2*n + n. Let q = -5389/15 - -1079/3. Factor h*l - q*l**2 + 0 + 2/5*l**4 + 0*l**3.
2*l**2*(l - 1)*(l + 1)/5
Let m(z) be the first derivative of 0*z**3 - 1/5*z**5 - 1 + 0*z + 0*z**2 + 1/4*z**4. Factor m(u).
-u**3*(u - 1)
Let b(q) be the third derivative of 16/9*q**3 + 8/9*q**4 + 4*q**2 + 0*q + 4/15*q**5 + 0 + 2/45*q**6 + 1/315*q**7. Factor b(k).
2*(k + 2)**4/3
Solve 32/3 - 2/9*x**3 + 8/3*x**2 - 88/9*x = 0 for x.
2, 4, 6
Let o(p) = 5*p - 46. Let g be o(10). Let m(j) be the first derivative of 0*j - j**2 - 2/5*j**5 + 2/3*j**3 + 1/2*j**g + 8. Solve m(z) = 0.
-1, 0, 1
Let h(b) = 192*b - 58*b - 47*b - 68*b - 110. Let i be h(6). Factor -2/11*k**i - 4/11*k - 6/11*k**3 + 0 + 2/11*k**5 + 10/11*k**2.
2*k*(k - 1)**3*(k + 2)/11
Let s be 3*1/12*(20/(-12) - -3). Factor s*d + 0 - 1/3*d**2.
-d*(d - 1)/3
Let n(x) be the second derivative of -x**4/60 + 11*x**3/15 - 121*x**2/10 - 74*x. Factor n(w).
-(w - 11)**2/5
Let u(a) be the third derivative of -1/18*a**4 + 0*a - 2/9*a**3 - 9*a**2 - 1/180*a**5 + 0. Factor u(q).
-(q + 2)**2/3
Let k(d) be the second derivative of -d**6/65 + d**5/26 + d**4/78 - 5*d**3/39 + 2*d**2/13 - 22*d + 3. Let k(z) = 0. Calculate z.
-1, 2/3, 1
Let g(h) be the first derivative of -h**5/15 - h**4/3 + 5*h**2/2 - 5. Let n(p) be the second derivative of g(p). What is m in n(m) = 0?
-2, 0
Suppose -m + 4 = -1, 5*r + 3*m - 35 = 0. What is l in r*l**2 + 0*l**2 + 16 + 6*l - 8*l - 14*l = 0?
2
Factor -228600*l - 12*l**2 + 3 - 4*l**3 + 228588*l - 7.
-4*(l + 1)**3
Let t be (0 - 3)*(-30)/45. Factor -2/17*m**t - 4/17*m + 6/17.
-2*(m - 1)*(m + 3)/17
Let l(p) be the first derivative of p**6/30 - 8*p**5/25 + 3*p**4/4 + 8*p**3/15 - 8*p**2/5 - 60. Find y such that l(y) = 0.
-1, 0, 1, 4
Suppose 9*o - 18 = 5*o - d, -5*o + 5*d - 15 = 0. Solve 1/4*q**2 + 1/4*q**o + 0*q + 0 = 0 for q.
-1, 0
Suppose -5*p - 21 = 4*h + 16, -h = -4*p + 4. Let f = h - -11. Determine l so that 2*l - 3*l - f*l**2 - 5*l = 0.
-2, 0
Let 26*g**2 - 56*g**3 - 3*g**4 + g**4 + 256 + 150*g**2 + 6*g**4 + 64*g**2 - 416*g = 0. Calculate g.
2, 8
Let t(v) be the second derivative of 0*v**2 - 11*v + 0 - 1/18*v**3 - 1/36*v**4. Solve t(o) = 0.
-1, 0
Let r(j) be the first derivative of j**6/420 + j**5/210 - j**4/84 - j**3/21 + j**2 + 9. Let y(t) be the second derivative of r(t). Factor y(s).
2*(s - 1)*(s + 1)**2/7
Let i = 4637 - 2125. Let a be i/198 + 76/342. Determine d, given that -34/11*d - a*d**3 + 94/11*d**4 - 24/11*d**5 + 102/11*d**2 + 4/11 = 0.
1/4, 2/3, 1
Let j be (-4)/6*30/(-25) + 7/(-35). Factor 3/5*k**3 - 3/5*k**2 + 3/5 - j*k.
3*(k - 1)**2*(k + 1)/5
Let p(f) be the second derivative of -7*f**5/10 - 22*f**4/3 + 37*f**3/3 + 14*f**2 + f + 3. Factor p(q).
-2*(q - 1)*(q + 7)*(7*q + 2)
Suppose -m + 5*n + 0*n = 0, 0 = -3*m - 3*n. Suppose m = 6*z - 2*z. Determine y so that z*y**3 + 3*y**3 - 4*y + 6*y**2 + 9*y**3 - 2*y**3 = 0.
-1, 0, 2/5
Let w(p) = p + 1. Let o be w(2). Suppose -o*j = -34 + 4. Factor 56 - 56 - j*d**2 - 4*d.
-2*d*(5*d + 2)
Let p(h) be the second derivative of -h**5/4 - 10*h**4/3 - 35*h**3/2 - 45*h**2 + 16*h + 3. Suppose p(c) = 0. What is c?
-3, -2
Let l(y) be the third derivative of 0 - y**2 + 1/1440*y**6 + 1/3*y**3 + 1/240*y**5 + 1/96*y**4 + 0*y. Let p(b) be the first derivative of l(b). Factor p(r).
(r + 1)**2/4
Let k = 11 + -6. Let t be 4 - (5/15 - k/6). Factor 9/2*f**3 - t*f**4 - 3/2*f**2 + 0 + 0*f + 3/2*f**5.
3*f**2*(f - 1)**3/2
Let t(n) be the third derivative of n**5/60 + 47*n**4/18 + 62*n**3/9 - 54*n**2 + n. Factor t(d).
(d + 62)*(3*d + 2)/3
Let -15 - 146*t - 151*t + 5*t**2 + 287*t = 0. Calculate t.
-1, 3
Let x = -9 + 11. Suppose -22*h - 10*h - 11*h**2 - 9*h**x + 16 = 0. Calculate h.
-2, 2/5
Solve -484/15 + 38/15*z**3 - 638/15*z - 2/15*z**4 - 38/5*z**2 = 0.
-2, -1, 11
Let b = -806 - -4819/6. Let o = 37/12 + b. Factor v**3 + 5/4*v**2 + 0 + o*v**4 + 1/2*v.
v*(v + 1)**2*(v + 2)/4
Let i = 6 + -3. Let l be 1*1/(-2) + (-28)/(-8). Factor -u**l - 3*u**3 + 5*u**i + 2*u**3 - 6*u**2.
3*u**2*(u - 2)
Suppose 0 = 4*i - 7*i + 45. Find d such that d + d - 4*d + i*d**2 + 12*d + 5*d**3 = 0.
-2, -1, 0
Let m(g) = 4*g**2 + 2*g + 1. Let q be m(-1). Find d, given that -q*d**2 - 2*d**2 - 8*d + d**2 + 3*d**2 - 16 = 0.
-4
Let s = 17 - 1. Let o = -12 + s. Factor 2*u**4 + o*u**2 + 6*u**4 - 6*u**3 - 6*u**4.
2*u**2*(u - 2)*(u - 1)
Let x be 2*-1 + (2 - -2). Let k be 36/15 + -1 + (-9)/(-15). Suppose -43 - k*f**x + 43 - 8*f = 0. What is f?
-4, 0
Let c(t) be the third derivative of 4*t**7/525 - 3*t**6/100 + t**5/75 + 14*t**2 - 4. Factor c(h).
2*h**2*(h - 2)*(4*h - 1)/5
Let r(v) = -2*v + 14. Let s = -12 - -18. Let a be r(s). Factor a*u + 0 - 2/5*u**2.
-2*u*(u - 5)/5
Suppose 0 - 50*h - 56/3*h**2 - 2/3*h**3 = 0. What is h?
-25, -3, 0
Let h(l) be the first derivative of 3*l**4/4 + 6*l**3 - 21*l**2/2 + 102. Factor h(j).
3*j*(j - 1)*(j + 7)
Let y(n) be the second derivative of n**5/4 - 125*n**4/12 - 65*n**3/3 - 9*n. Suppose y(h) = 0. What is h?
-1, 0, 26
Let s(y) be the third derivative of -1/28*y**4 + 0*y**5 - 2/21*y**3 + 0*y - 9*y**2 + 0 + 1/420*y**6. Solve s(x) = 0.
-1, 2
Suppose -3*s + 5*x + 74 = 0, -3*s = -2*s - x - 26. What is y in -s*y**2 - y**5 + 30*y**2 + 5*y**3 + 4*y**4 + 2*y**5 = 0?
-2, -1, 0
Suppose 6*b - 47*o - 15 = -48*o, -3*o - 12 = -b. Factor 20 + 4/5*f**b + 28*f + 44/5*f**2.
4*(f + 1)*(f + 5)**2/5
Let z = 9 - 9. Suppose -a + z*a = 0. What is n in 2*n**3 - 4 + 32*n + a*n**4 - 36*n - n**4 - n**2 + 4*n**2 = 0?
-1, 2
Suppose 0*q + 3*q - 74 = -4*w, -2*q - 3*w + 49 = 0. Let s = q + -22. Factor 3*y**s + 61*y + y**2 - y**3 + 4*y**3 + y**5 - 61*y.
y**2*(y + 1)**3
Let i(q) = -q**3 - q**2 - 1. Suppose -2*u - 3*r - 17 = -1, 4*r + 26 = -5*u. Let h be i(u). Factor k**3 + 6 - 9*k - k**h + 3*k**3.
3*(k - 1)**2*(k + 2)
Let y = 583 - 972. Let o = y + 2729/7. Find x, given that -10/7*x**2 + 4/7 - o*x = 0.
-1, 2/5
Factor -14*x**2 + 9*x**4 + 0*x**5 - 6*x**2 + 5*x**5 + 6*x**4.
5*x**2*(x - 1)*(x + 2)**2
Let o(h) = h + 7. Let d be o(-4). Factor -2*i**3 - 4*i + 3*i - 28 + 2*i**2 + 26 + 3*i**d.
(i - 1)*(i + 1)*(i + 2)
Let a(n) = -n**2 - 4*n + 2. Let h be a(-4). Factor 9*l**3 - 735*l**h - 5*l**4 + 3*l**5 - 2*l**5 + 2*l + 728*l**2.
l*(l - 2)*(l - 1)**3
Let o(l) be the third derivative of -l**8/504 - 2*l**7/45 + 8*l**6/45 - l**5/45 - 31*l**4/36 + 16*l**3/9 - 6*l**2 + 38. Solve o(w) = 0 for w.
-16, -1, 1
Let w = -88676909/94720 + 9/18944. Let h = w - -941. Let -h*f**2 + 3/5*f + 3*f**3 + 6/5 = 0. What is f?
-2/5, 1
Factor 1936/3 + 4/3*u**2 + 176/3*u.
4*(u + 22)**2/3
Let b(o) = -6*o**2 - 92*o - 110. Let k(i) = 7*i**2 + 93*i + 116. Let z(r) = 5*b(r) + 4*k(r). Let z(s) = 0. What is s?
-43, -1
Solve -1/8*g**2 + 0 + 3/8*g = 0 for g.
0, 3
Factor -2/7 + 3/7*f - 1/7*f**2.
-(f - 2)*(f - 1)/7
Let u(t) be the second derivative of -t**4/6 - t**3/3 + 2*t**2 + 163*t. Suppose u(j) = 0. Calculate j.
-2, 1
Let o(t) be the first derivative of 13 + 1/9*t**2 + 2/9*t**3 - 1/18*t**4 + 0*t - 2/15*t**5. Suppose o(n) = 0. Calculate n.
-1, -1/3, 0, 1
Suppose -166*o - 27 + 381 = 22. Factor -2/3*g**3 + 0*g + 0 + 2/3*g**o.
-2*g**2*(g - 1)/3
Let r be 17/4 - -8*(-1)/32. Let r*h**2 + 0 + 4 + 17*h - 9*h = 0. Calculate h.
-1
Factor -28/9 - 2*t - 2/9*t**2.
-2*(t + 2)*(t + 7)/9
Let d = 39/8 + -35/8. Let n be -1 + -1 + 6 + 0. Factor d*v**3 - 3/2*v**2 - 1/2*v + 1 + 1/2*v**n.
(v - 1)**2*(v + 1)*(v + 2)/2
Let l(j) = 5 - 2 - 3*j - 4*j - 1. Let u be l(-1). Solve -2*k**2 + 10*k**5 - u*k**3 - 223*k + 27*k**3 + 219*k + 26*k**4 = 0 for k.
-1, 0, 2/5
Let 140/3*c**2 + 88/3*c + 0 + 56/3*c**3 + 4/3*c**4 = 0. What is c?
-11, -2, -1, 0
Determine s so that 23 - 167 + 852*s - 113 + 38 + 4*s**2 - 637 = 0.
-214, 1
Factor 5/3*f**2 - 15*f + 0.
5*f*(f - 9)/3
Let n(s) = -6*s**5 - 38*s**4 + 200*s**3 - 208*s**2 + 16. Let r(d) = 4*d**5 + 25*d**4 - 133*d**3 + 139*d**2 - 10. Let v(y) = -5*n(y) - 8*r(y). Factor v(k).
-2*k**2*(k - 2)**2*(k + 9)
Suppose 2*m + 0*m + 6 = 0, -2*g + 10 = -2*m. Let j = 3/4970 - -1241/2485. Factor -j*b**3 - 5/2*b**g - 2 - 4*b.
-(b + 1)*(b + 2)**2/2
Factor 0 - 4/7*f**2 - 80/7*f.
-4*f*(f + 20)/7
Let m(c) be the t