t n(z) be the second derivative of -39/7*z**2 + 1/42*z**4 - 4*z - 30 - 38/21*z**3. Let n(v) = 0. What is v?
-1, 39
Let z(h) be the third derivative of h**6/1200 + 13*h**5/600 - 4*h**4/15 + 17*h**3/15 + 1903*h**2. Factor z(k).
(k - 2)**2*(k + 17)/10
Suppose 3*p + 22 = r - p, -4*r - 4*p - 12 = 0. Let i be (r - 0)/(175/(-21) + 10). Solve 6/5*s + 0 - i*s**3 + 3/5*s**2 - 3/5*s**4 = 0 for s.
-2, -1, 0, 1
Let i(j) be the first derivative of 2*j**3/21 - 109*j**2 - 1241. Factor i(f).
2*f*(f - 763)/7
Let q(m) = m**2 + 5*m. Let o(k) = -k**3 + 9*k**2 - 8*k - 8. Let w be o(8). Let y be q(w). Factor -22*h**2 - 4 + 4 + y*h**2 - 4*h.
2*h*(h - 2)
Let t = 115/2176 + 31709/2176. Factor -t*s + 15/2 + 27/4*s**2 + 3/8*s**3.
3*(s - 1)**2*(s + 20)/8
What is l in -41/4*l + 347/4*l**2 - 9 + 313/4*l**3 - 39/4*l**4 = 0?
-1, -4/13, 1/3, 9
Let z(t) be the second derivative of 0*t**2 + 10*t - 4/3*t**3 + 0 - 1/5*t**5 - t**4. Factor z(p).
-4*p*(p + 1)*(p + 2)
Let o be 72/(27/(-3)) + 11. Suppose 3*q - 43 = -4*b - 18, -2*b = o*q - 17. Find t such that -64/3*t**4 - 44/3*t**q - 28/3*t**5 + 0*t + 0 - 8/3*t**2 = 0.
-1, -2/7, 0
Let d(x) be the second derivative of x**7/84 + 13*x**6/30 + 213*x**5/40 + 58*x**4/3 - 176*x**3/3 - 4*x - 27. Let d(f) = 0. What is f?
-11, -8, 0, 1
Let i = 296 + -1163/4. Let u = 155/28 - i. Solve 0*r**2 + 0 - 2/7*r + 0*r**4 + 4/7*r**3 - u*r**5 = 0.
-1, 0, 1
Let q = 2095/13 - 161. Suppose 407*t - z = 408*t - 9, -z = 4*t - 15. Solve 0 + q*o**t + 2/13*o = 0 for o.
-1, 0
Let o(j) be the second derivative of -j**5/20 - 27*j**4/4 - 53*j**3/2 + 92*j**2 + 43*j. Let m(z) be the first derivative of o(z). Let m(l) = 0. Calculate l.
-53, -1
Let x(q) = 2*q**2 + 2*q - 2. Let v be x(-3). Suppose 44 = v*k - 6. Factor -4*r - k*r**2 - 4 + 0*r**3 - r**3 + 0*r**3 - 4*r.
-(r + 1)*(r + 2)**2
Let h(l) be the second derivative of -l**6/30 + 9*l**5/20 - 18*l**3 + 38*l + 12. Find p, given that h(p) = 0.
-3, 0, 6
Let l(m) be the second derivative of -m**6/720 + 2*m**5/45 + 11*m**4/144 + 40*m**3 - m. Let p(b) be the second derivative of l(b). Factor p(a).
-(a - 11)*(3*a + 1)/6
Let a(t) be the first derivative of 4*t**3/3 + 296*t**2 + 21904*t - 998. Find v, given that a(v) = 0.
-74
Let m(k) be the third derivative of k**6/60 + 29*k**5/6 - 148*k**4/3 + 596*k**3/3 - 10*k**2 + 27. Factor m(q).
2*(q - 2)**2*(q + 149)
Let k(l) be the second derivative of l**6/75 + l**5/15 + 2*l**4/15 + 2*l**3/15 + 28*l**2 - 80*l. Let b(h) be the first derivative of k(h). Solve b(x) = 0.
-1, -1/2
Let m(d) = 5*d + 52. Let q be m(-9). Let u be -3 - (-48)/(15 - q). Suppose -2/5*v + 2/5*v**u + 0*v**2 + 0 = 0. Calculate v.
-1, 0, 1
Let x be (210/3920)/((14/21)/((-32)/(-6))). Factor -44/7*t + 12/7 + 25/7*t**2 - x*t**3.
-(t - 6)*(t - 2)*(3*t - 1)/7
Let a = -61927/120 + 4129/8. Let z(l) be the second derivative of a*l**6 + 14*l + 7/10*l**5 + 0 + 8*l**2 + 3*l**4 + 20/3*l**3. Factor z(w).
2*(w + 1)*(w + 2)**3
Let r(i) be the third derivative of -5/6*i**3 + 2/21*i**7 + 0 + 5/6*i**4 - i + 44*i**2 - 1/4*i**5 - 1/6*i**6. Factor r(m).
5*(m - 1)*(m + 1)*(2*m - 1)**2
Let g(b) be the third derivative of -74 + b**4 + 0*b - 1/15*b**5 + 2*b**2 + 0*b**3 + 1/720*b**6. Solve g(s) = 0 for s.
0, 12
Factor -4*d + 0 - 1/4*d**4 + 7/4*d**3 - 2*d**2.
-d*(d - 4)**2*(d + 1)/4
Let p(o) be the second derivative of -114*o - 2 - 1/72*o**4 + 0*o**2 + 10/9*o**3. Suppose p(i) = 0. Calculate i.
0, 40
Let a = -44 - -67. Factor a*s**2 - 722 + 22*s**2 - 47*s**2 + 8*s + 68*s.
-2*(s - 19)**2
Let i(l) be the second derivative of l**4/72 - 59*l**3/18 - 121*l**2/4 - 1186*l - 1. Factor i(q).
(q - 121)*(q + 3)/6
Let b(r) be the second derivative of r**3/3 - r**2 - 130*r. Let m be (-4)/3*6/(-4). Let t(y) = -y**3 + y**2 + y + 1. Let q(w) = m*b(w) + 4*t(w). Solve q(p) = 0.
-1, 0, 2
Suppose 13*r = -15*r - 414*r - 74*r. Factor -4/7*a**4 + 0*a**3 + 0*a**2 + r*a - 46/7*a**5 + 0.
-2*a**4*(23*a + 2)/7
Let n be ((-9)/102)/((-702)/1989) - (-5)/(-52). Determine y so that -n*y**2 - 6/13*y + 0 = 0.
-3, 0
Factor 74/3*g + 7 + 4/3*g**3 - 13*g**2.
(g - 7)*(g - 3)*(4*g + 1)/3
Let b(o) be the third derivative of -o**7/420 + o**6/48 + 35*o**5/24 + 475*o**4/48 + 51*o**3/2 + 6598*o**2. Suppose b(k) = 0. Calculate k.
-9, -2, -1, 17
Let j = -5 + 20. Let i = j + -10. Determine v so that -3 - 8*v**2 + 11 - i*v + 17*v = 0.
-1/2, 2
Let x(n) = 3*n**3 + 10*n**2 - 19*n - 149. Let c be 6/(-10) + 196/35. Let o(z) = z**2 - z + 1. Let u(v) = c*o(v) + x(v). Factor u(j).
3*(j - 3)*(j + 4)**2
Let c = -1/7234 - -222467/155531. Let r = c + 3/43. Solve -1 + 1/2*p**3 + 0*p**2 - r*p = 0.
-1, 2
Let x(r) be the third derivative of -1/280*r**7 + 1/1344*r**8 + 0*r + 1/60*r**5 - 17*r**2 + 0 + 0*r**3 + 0*r**6 + 0*r**4. Factor x(n).
n**2*(n - 2)**2*(n + 1)/4
Let w be 573/(-382)*100/(-45). Factor m + w*m**2 + 3*m**3 + 0 + 2/3*m**4.
m*(m + 1)*(m + 3)*(2*m + 1)/3
Let u(l) be the second derivative of 11*l**6/3 + 111*l**5/10 - 131*l**4/30 - 173*l**3/5 - 36*l**2 - 4*l - 203. What is d in u(d) = 0?
-20/11, -3/5, 1
Let i(b) be the first derivative of -2/3*b**2 - 5/18*b**3 + 99 - 2/3*b - 1/24*b**4. Determine f, given that i(f) = 0.
-2, -1
Let d(f) be the third derivative of 2*f**2 - 2/15*f**4 - 2/25*f**5 - 2/525*f**7 + 1/30*f**6 - 10*f + 16/15*f**3 + 0. Factor d(q).
-4*(q - 2)**3*(q + 1)/5
Suppose 0 = -1021*l - 30 + 17 + 13. Factor 54/7*q**2 + 10/7*q**4 + l - 27/7*q - 1/7*q**5 - 36/7*q**3.
-q*(q - 3)**3*(q - 1)/7
Let b(f) = 2*f**4 - 33*f**3 - 2583*f**2 + 41012*f - 5. Let t(q) = q**4 + q + 5. Let l(p) = -b(p) - t(p). Suppose l(u) = 0. What is u?
-31, 0, 21
Let h(u) be the third derivative of -u**6/660 + 7*u**5/330 + 41*u**4/132 + u**3 + 2*u**2 + 18. Factor h(o).
-2*(o - 11)*(o + 1)*(o + 3)/11
Let m(d) be the second derivative of d**5/20 + d**4/4 - 38*d**3/3 + 66*d**2 + 8894*d. Determine f so that m(f) = 0.
-11, 2, 6
Let p(a) be the second derivative of a**6/15 - 26*a**5/5 - 19*a**4/2 + 208*a**3/3 + 212*a**2 + 134*a + 22. Find q, given that p(q) = 0.
-2, -1, 2, 53
Let h(z) be the second derivative of z**4/4 - 131*z**3 + 2331*z**2/2 - z + 1925. Factor h(w).
3*(w - 259)*(w - 3)
Factor 830/3*y + 1/6*y**2 + 344450/3.
(y + 830)**2/6
Suppose 0 = -y - 5*k - 72, -5*y - 2*k = -334 + 349. Suppose -2/5*l**2 + 2/5*l**5 + 0 + 4/5*l + 2/5*l**4 - 6/5*l**y = 0. What is l?
-2, -1, 0, 1
Suppose -1018*x - 14 = -1025*x. Let o**2 - 2*o**4 - 298*o**3 + 12*o**x + 323*o**3 = 0. Calculate o.
-1/2, 0, 13
Factor -883/4*n - 441/4 - 443/4*n**2 - 1/4*n**3.
-(n + 1)**2*(n + 441)/4
Suppose 615342 = -17*j + 30*j. Factor -29*s**2 + 47304 - 11*s**2 - j - 65*s - 5*s**3.
-5*(s + 1)**2*(s + 6)
Let l(z) be the first derivative of -z**6/9 - 266*z**5/15 - 131*z**4/2 - 782*z**3/9 - 130*z**2/3 - 3393. Find b such that l(b) = 0.
-130, -1, 0
Let u(y) be the second derivative of -5*y**7/84 - y**6/12 + 3*y**5/4 - 213*y - 2. Factor u(p).
-5*p**3*(p - 2)*(p + 3)/2
Let h(d) be the second derivative of -d**5/300 - d**4/24 - d**3/5 - 82*d**2 - 4*d - 24. Let t(w) be the first derivative of h(w). Factor t(y).
-(y + 2)*(y + 3)/5
Determine l so that -130/9*l**3 + 0 + 1/9*l**4 + 0*l + 256/9*l**2 = 0.
0, 2, 128
Let a(r) = 3*r**2 + 30*r + 32. Let u be a(-10). Factor -26 - 168*t + 39 - 5*t**2 - u*t - 13.
-5*t*(t + 40)
Let g(o) be the third derivative of -o**5/300 + 209*o**4/60 - 43681*o**3/30 + 166*o**2 + 2*o. Let g(j) = 0. Calculate j.
209
Let w = 577 - 560. Suppose -w*x = -4*x - 91. Find g, given that -13/4*g**2 - 6*g + 69/4*g**3 - x*g**4 - 1 = 0.
-2/7, -1/4, 1, 2
Let n(c) be the second derivative of -5*c**4/12 - 135*c**3 - 805*c**2/2 + 64*c. Factor n(m).
-5*(m + 1)*(m + 161)
Let j = 6016/5555 + 4/505. Suppose 0 = -100*z - 57*z + 64 + 407. Factor -j*k - 2/11*k**z - 14/11*k**2 + 0.
-2*k*(k + 1)*(k + 6)/11
Let o(t) be the third derivative of -t**6/600 + 41*t**5/300 - 5*t**4/8 - 39*t**3/10 + 396*t**2 - 1. Solve o(v) = 0 for v.
-1, 3, 39
Determine a so that 3/5*a**5 + 27*a**2 - 3*a**3 + 0 - 3*a**4 - 108/5*a = 0.
-3, 0, 1, 3, 4
Let h(r) be the second derivative of -3*r**5/100 - 11*r**4/20 + 28*r**3/5 - 18*r**2 + 55*r. Solve h(o) = 0.
-15, 2
Let b(n) = n**2 - n. Let r(d) = 5*d**3 + 15*d**2 - 40*d + 20. Suppose -4*w + 11 = 2*k - k, 13 = -4*k + 3*w. Let m(u) = k*r(u) + 5*b(u). Factor m(x).
-5*(x - 1)**2*(x + 4)
Determine q so that 15*q + 20*q**4 - 20*q**2 + 5615644*q**3 - 5615654