**4 - b**i - 73*b**3 - 2*b + 70*b**3 + 2 = 0.
-2, -1, 1
Let w(o) = o**3 - 22*o**2 + 5*o + 26. Let d(x) = 2*x**3 - 21*x**2 + 7*x + 27. Let t(a) = 2*d(a) - 3*w(a). Find b such that t(b) = 0.
-24, -1, 1
Factor -9*i + 16*i**2 + 6*i + 4*i**2 - 22*i.
5*i*(4*i - 5)
Let p(m) = -m**2 - 5*m - 3. Let s be p(-3). Suppose -2*k = -2*l - 16, -11*k + 28 = -10*k - 5*l. Factor -3 - d - 2*d**2 + 5*d**k - 6*d**s + 3.
-d*(d + 1)**2
Suppose p - 5 = -0*p. Let s = 10 - 3. Factor -s*k**5 + 2*k**5 + 3*k**p + 2*k**3.
-2*k**3*(k - 1)*(k + 1)
Let i(a) = 5*a - 13. Let f be i(3). Let l be f - 6 - (-155)/35. Factor -l*m**2 + 0 + 6/7*m.
-3*m*(m - 2)/7
Let y be 8/28 - 66/(-14). Suppose 27 + 2*m**5 - 50*m**4 - 25*m + 50*m**3 + 13*m**y - 17 = 0. What is m?
-2/3, 1
Find b, given that -40/3*b + 0 + 0*b**4 - 24*b**2 - 34/3*b**3 + 2/3*b**5 = 0.
-2, -1, 0, 5
Let z(j) be the third derivative of j**6/180 - j**5/150 - 3*j**3 + 7*j**2. Let c(v) be the first derivative of z(v). Solve c(b) = 0 for b.
0, 2/5
Let i(w) be the second derivative of 7*w**3 - 22*w + 0 + 4*w**2 + 53/12*w**4 - 7/30*w**6 + 3/5*w**5. Let i(r) = 0. Calculate r.
-1, -2/7, 4
Let m(q) be the first derivative of q**8/1120 - q**6/80 - q**5/40 + 8*q**3 + 4. Let r(u) be the third derivative of m(u). Suppose r(n) = 0. What is n?
-1, 0, 2
Let b(h) be the third derivative of 0*h + 7*h**2 + 0 + 1/72*h**4 + 1/6*h**3 - 1/360*h**6 - 1/60*h**5. Factor b(a).
-(a - 1)*(a + 1)*(a + 3)/3
Factor -4/5*d**2 - 180 + 24*d.
-4*(d - 15)**2/5
Let q(t) be the third derivative of -t**7/105 + t**6/10 + t**5/10 - 13*t**4/3 + 20*t**3 - 74*t**2 - 1. Factor q(h).
-2*(h - 5)*(h - 2)**2*(h + 3)
Let p(l) be the third derivative of l**7/1470 - 3*l**6/70 + 81*l**5/70 - 243*l**4/14 + 2187*l**3/14 - 427*l**2. Factor p(o).
(o - 9)**4/7
Let d = -57 + 59. Let c(w) = 21*w**3 + 110*w**2 - 250*w + 130. Let l(v) = 4*v**3 + 22*v**2 - 50*v + 26. Let z(g) = d*c(g) - 11*l(g). Solve z(x) = 0.
-13, 1
Let m = 28/51 + -11/51. Solve 0*s - m*s**2 + 0 = 0.
0
Let u(n) be the first derivative of -n**6/3 + 2*n**5/5 + n**4/2 - 2*n**3/3 + 91. Let u(f) = 0. Calculate f.
-1, 0, 1
Let u(l) be the third derivative of l**8/3024 + 4*l**7/945 - l**6/90 - 11*l**5/270 + 43*l**4/216 - l**3/3 + 2*l**2 - 45. Factor u(t).
(t - 1)**3*(t + 2)*(t + 9)/9
Suppose n = 6*n - 35. Factor -8*p**2 - 4*p**4 - 2*p**3 + n*p**3 + 7*p**3.
-4*p**2*(p - 2)*(p - 1)
Let q = 464 + -278. Let v = q - 184. Factor -2/3*h**v + 2/3*h**3 + 2/3*h**4 - 2/3*h + 0.
2*h*(h - 1)*(h + 1)**2/3
Let r(y) = 28*y**2 - 223*y - 5. Let i be r(8). Let -29/2*g**2 - 9/2*g**i + 0 - 3*g = 0. What is g?
-3, -2/9, 0
Let j = -112 + 118. Suppose 2 = 5*k + s, 6*k - k = 3*s - j. Factor 3*p**3 + 0*p - 3/5*p**2 + k.
3*p**2*(5*p - 1)/5
Let m(k) = -k**3 + 10*k**2 - 2*k + 28. Let x be m(10). Suppose -5*d = 2*o + x, -5*d + 10*d = -4*o - 16. Factor d - 3/4*j - 15/4*j**3 + 9/2*j**2.
-3*j*(j - 1)*(5*j - 1)/4
Let d = 20 + -14. Let s(b) = b**3 - 6*b**2. Let w be s(d). Factor 3*f + 6*f**2 - 4 - 2 - 3*f**3 + w.
-3*(f - 2)*(f - 1)*(f + 1)
Suppose 6*d - 10*d + 16 = -o, 5*d - 21 = o. Factor 2/17*p**d - 2/17*p**3 + 0*p + 2/17*p**4 + 0 - 2/17*p**2.
2*p**2*(p - 1)*(p + 1)**2/17
Let s(b) be the second derivative of 0 + 11/3*b**4 - 4*b + 66*b**2 + 34*b**3. Let i(q) = -8*q**2 - 37*q - 24. Let w(x) = -28*i(x) - 5*s(x). Factor w(y).
4*(y + 1)*(y + 3)
Let k = -18043 + 18046. Factor -1/2*i**k + 1/6*i**4 + 1/3*i**2 + 0 + 0*i.
i**2*(i - 2)*(i - 1)/6
Let a = 2440 - 2436. Let x(r) be the first derivative of -2/7*r**3 - 2/7*r + 1/14*r**a + 3/7*r**2 + 3. Factor x(p).
2*(p - 1)**3/7
Let k = -35 + 75/2. Let m(a) be the first derivative of 0*a**4 - 2*a**5 - 3 + 10/3*a**3 + 0*a - 5/6*a**6 + k*a**2. Solve m(d) = 0 for d.
-1, 0, 1
Suppose 2*i = -10, 3*c = 5*i + 20 + 14. Let y(a) be the first derivative of 0*a + 1/2*a**2 + 1 + 1/6*a**c. Factor y(k).
k*(k + 2)/2
Let u(j) = j**3 + j**2 - j. Let f(p) = -48*p**3 + 44*p**2 - 24*p + 8. Let a = -1242 + 1241. Let y = 12 + -32. Let q(x) = a*f(x) + y*u(x). Factor q(n).
4*(n - 1)**2*(7*n - 2)
Let y(c) be the first derivative of -c**4/12 - c**3/6 - 9*c + 9. Let o(d) be the first derivative of y(d). Factor o(p).
-p*(p + 1)
Suppose -3*y = 4*i - 3, -3*y + 3*i + 10 = -14. Factor n**2 - 5 + 2*n**4 + y - 5*n**3 + 2*n**3.
n**2*(n - 1)*(2*n - 1)
Factor 576/5*i**2 + 0 - 36/5*i**4 - 3/5*i**5 - 768/5*i - 12/5*i**3.
-3*i*(i - 2)**2*(i + 8)**2/5
Find g such that -13/6*g**3 - 19/6*g**2 - 1/3 - 1/2*g**4 - 11/6*g = 0.
-2, -1, -1/3
Suppose 24*s - 178 + 82 = 0. Let t be (-9)/(-2)*(-4)/(-6). Factor -q**2 + 4*q**3 + 2 - q**3 - t*q + 4*q**4 - 5*q**s.
-(q - 2)*(q - 1)**2*(q + 1)
Let c(r) be the second derivative of r**7/273 - r**6/195 - r**5/65 + r**4/39 + r**3/39 - r**2/13 + 375*r + 2. Determine j, given that c(j) = 0.
-1, 1
Let f = 272 + -258. Let m(o) be the first derivative of -f - 3/2*o**2 + 3/4*o**4 + 0*o + 0*o**3. Factor m(h).
3*h*(h - 1)*(h + 1)
Let c be (1*12)/(9/(-42)). Let v be ((-42)/c)/((-2)/(-48)). Factor -41 + 11 - h**2 - v + 24*h - 2*h**2.
-3*(h - 4)**2
Let m(v) be the second derivative of v**3/3 + v**2 - 5*v. Let b be m(0). Factor -54*d**3 + 6*d - d - 46*d**3 - d - 4 + 55*d**b.
-(4*d + 1)*(5*d - 2)**2
Let u(n) be the third derivative of 1/3*n**3 - 1/120*n**6 - 6*n**2 + 1/8*n**4 + 0*n + 0*n**5 + 0. Let j(x) be the first derivative of u(x). Solve j(l) = 0.
-1, 1
What is u in -60*u**2 + 99*u**3 + 352 - 304 - 2*u + 38*u - 15*u**4 - 108*u**2 = 0?
-2/5, 1, 2, 4
Let m(w) be the first derivative of -41*w**4/4 + 2*w**3/3 + 41*w**2/2 - 2*w + 47. Determine z, given that m(z) = 0.
-1, 2/41, 1
Let x(n) be the first derivative of 18 + 0*n + 9/2*n**2 + n**3. Determine i, given that x(i) = 0.
-3, 0
Let r be (12/(-21))/(4/(-14)). Factor g - 12*g**r + 15 + 7*g**2 - 7*g - 4*g.
-5*(g - 1)*(g + 3)
Let r = 3 - 0. Let p be 8/(-6)*(-39)/26. Factor 0 + 6/5*m**r + 2/5*m**5 - p*m**4 + 18/5*m**2 + 0*m.
2*m**2*(m - 3)**2*(m + 1)/5
Let d(a) = 45*a**2 - 141*a + 43. Suppose -r = -30 + 25. Let h(k) = -112*k**2 + 352*k - 108. Let w(j) = r*h(j) + 12*d(j). Factor w(q).
-4*(q - 3)*(5*q - 2)
Suppose -3*f + 32 + 61 = 3*b, b = 5*f + 37. Suppose 33*v - b*v = 5. Factor 3*o**3 + o + 8 + 0*o - v - 2 - 5*o**2.
(o - 1)**2*(3*o + 1)
Let n be ((-1434)/40)/(-50 + -1). Let s = 4/85 + n. Find z, given that -s*z - 1/2 - 1/4*z**2 = 0.
-2, -1
Suppose 2*z = -28*z + 5*z. Let y(n) be the second derivative of -3/8*n**4 - 3/4*n**2 - 3/40*n**5 - 4*n - 3/4*n**3 + z. Factor y(r).
-3*(r + 1)**3/2
Factor 4/3*n - 2 + 2/3*n**2.
2*(n - 1)*(n + 3)/3
Factor 83 - 6*p**2 + 15*p + 14 + 3 - p**3.
-(p - 4)*(p + 5)**2
Let c(u) be the second derivative of -45/2*u**2 + 0 - 1/4*u**5 - 5/2*u**3 + 6*u + 25/12*u**4. Factor c(y).
-5*(y - 3)**2*(y + 1)
Let p(k) be the first derivative of k**4/6 + 2*k**3/3 + k**2 + 2*k/3 + 65. Factor p(s).
2*(s + 1)**3/3
Let r(a) be the third derivative of a**11/665280 + a**10/151200 + a**9/120960 - 13*a**5/60 + 44*a**2. Let j(o) be the third derivative of r(o). Factor j(n).
n**3*(n + 1)**2/2
Factor -1/4*f**2 - 4*f + 9.
-(f - 2)*(f + 18)/4
Suppose -17*k + 2714 = 2663. Suppose 0*f**k + 4/7*f**2 + 0*f - 2/7*f**4 - 2/7 = 0. What is f?
-1, 1
Let b(x) be the second derivative of -x**4/30 - 122*x**3/15 - 3721*x**2/5 - 201*x. Determine d so that b(d) = 0.
-61
Let s(q) = -13*q**3 + 26*q**2 + 49*q - 5. Let r(k) = 15*k**3 - 27*k**2 - 48*k + 6. Let p(j) = 5*r(j) + 6*s(j). Find l such that p(l) = 0.
-2, 0, 9
Let d(y) = 20*y**3 - 12*y**2 - 12*y + 4. Let a = 25 + -30. Let f(j) = -13*j**3 + 8*j**2 + 8*j - 3. Let m(p) = a*d(p) - 8*f(p). Factor m(r).
4*(r - 1)**2*(r + 1)
Let f = 2321 + -11601/5. Factor 0*i + 0 + f*i**2 - 8/5*i**3 + 4/5*i**4.
4*i**2*(i - 1)**2/5
Let t(k) be the third derivative of 1/360*k**6 + 0 + 0*k - 1/1008*k**8 - 1/315*k**7 + 0*k**3 + 3*k**2 + 0*k**4 + 1/90*k**5. Let t(c) = 0. What is c?
-2, -1, 0, 1
Let h(j) = 7*j**3 - 12 - j - 6*j**3 + 5*j + 7*j**2. Let q be h(-5). Factor q - 9 - 3*f**4 - 9.
-3*f**4
Let j(m) be the second derivative of -m**5/20 - m**4/6 + m**3/6 + m**2 + 87*m. What is p in j(p) = 0?
-2, -1, 1
Let l(j) be the second derivative of -j**7/21 + 2*j**6/5 - 11*j**5/10 + j**4 - 353*j. Suppose l(a) = 0. What is a?
0, 1, 2, 3
Suppose 12*u - 8 = 10*u. Let n be 24/(-42)*(-45)/6 - u. Factor -2/7*f + n*f**4 + 2/7*f**3 - 2/7*f**2 + 0.
2*f*(f - 1)*(f + 1)**2/7
Let h(p) = -p**2 - 9*p + 2. L