7 + 2/17*h**g + 2592/17*h + 342/17*h**3 - 42/17*h**4 - 1350/17*h**2 = 0.
3, 6
Let b(r) be the third derivative of r**5/75 + 607*r**4/3 + 3684490*r**3/3 + 927*r**2. Factor b(q).
4*(q + 3035)**2/5
Let f(z) be the third derivative of -z**5/12 + 665*z**4/24 - 430*z**3 + 3*z**2 + 491. Solve f(b) = 0 for b.
4, 129
Let k = 1522/3 + -27903/55. Let p(i) be the third derivative of 0 + 1/132*i**4 - 1/660*i**6 - k*i**5 + 2*i**2 + 0*i + 2/33*i**3. Factor p(w).
-2*(w - 1)*(w + 1)*(w + 2)/11
Suppose -4*b + 44 = 4*t, -8846*t + 23 = -8841*t + b. Factor -1/3*y**t + 5/3*y**2 - 3 - y.
-(y - 3)**2*(y + 1)/3
Let k(l) = 10*l - 8. Let f be k(1). Find d such that -d + 4*d - 2*d - 4*d - 3*d**f = 0.
-1, 0
Suppose 174*g - 37 = -101 + 29 + 35. Find j such that g + 29/2*j**2 + 0*j - 1/2*j**3 = 0.
0, 29
Let k be 2/(-16)*-10*45/(9225/82). Suppose -4 + k*v**3 - 3*v**2 - 15/2*v = 0. Calculate v.
-1, 8
Let z(s) be the first derivative of -2*s**6/25 - 51*s**5/100 - s**4 - 2*s**3/5 + 24*s - 43. Let r(f) be the first derivative of z(f). Factor r(q).
-3*q*(q + 2)**2*(4*q + 1)/5
Let f(v) be the second derivative of -v**4/24 - 257*v**3/60 - 51*v**2/10 + 9371*v. Factor f(o).
-(o + 51)*(5*o + 2)/10
Factor 2176 + 4*i**4 - 691*i**3 + 79*i + 1458*i**3 - 723*i**3 - 408*i**2 + 64*i - 15*i.
4*(i - 4)**2*(i + 2)*(i + 17)
Suppose -i - 3*w = 4*i - 1, 0 = 3*w + 9. Factor 255*t - 3 - 12*t**i - 55 + 8 - 13*t**2.
-5*(t - 10)*(5*t - 1)
Factor 118/3 + 116/3*l - 2/3*l**2.
-2*(l - 59)*(l + 1)/3
Let i(p) be the second derivative of p**5/80 + 7*p**4/24 + 49*p**3/24 + 51*p + 16. Factor i(j).
j*(j + 7)**2/4
Let r = -4/435 - -14/261. Let q(x) be the second derivative of 4/45*x**3 + r*x**4 - 11*x + 1/150*x**5 + 0*x**2 + 0. Find v, given that q(v) = 0.
-2, 0
Let x(r) be the third derivative of 0*r + 85 - 3/8*r**5 + 0*r**3 - 7/16*r**4 - 9/80*r**6 - 1/140*r**7 - 2*r**2. Factor x(p).
-3*p*(p + 1)**2*(p + 7)/2
Let x(z) be the first derivative of -z**5/70 + 13*z**4/42 + 29*z**3/21 + 15*z**2/7 - 29*z + 81. Let a(m) be the first derivative of x(m). Factor a(v).
-2*(v - 15)*(v + 1)**2/7
Let a(b) be the first derivative of -41 + 0*b - 1/16*b**4 + 1/24*b**6 + 1/5*b**5 + 0*b**2 - 1/3*b**3. Factor a(i).
i**2*(i - 1)*(i + 1)*(i + 4)/4
Let y = -477 - -477. Suppose -41*t + 20*t + 14*t = y. Let 4/5*v**3 + 16/5*v**2 + 16/5*v + t = 0. What is v?
-2, 0
Let o = -1159001/1288 + 7193/8. Let z = -10/23 - o. What is n in 6/7*n + 4/7 + z*n**2 = 0?
-2, -1
Let c be (1/(1 - 6))/(132/(-60) - 1). Let y(o) be the first derivative of -1/8*o**2 - 1/2*o + 1/4*o**3 + 10 - 1/20*o**5 + c*o**4. Let y(g) = 0. Calculate g.
-1, 1, 2
Factor -6 + 9*x - 47*x**2 - 31*x**2 + 93*x**2.
3*(x + 1)*(5*x - 2)
Let m(z) = 31*z**2 + 36*z - 32. Let d(b) = 25*b**2 + 35*b - 32. Let n = -528 - -523. Let r(u) = n*d(u) + 4*m(u). Factor r(i).
-(i - 1)*(i + 32)
Suppose 2*o + r + 39 = 46, -5*r = -5. Let l(q) be the second derivative of q**2 - 36*q + 0 + 1/12*q**4 - 1/2*q**o. Let l(p) = 0. What is p?
1, 2
Let a(u) = -22*u**3 + 38*u**2 - 22*u - 6. Let z(x) = 4*x**3 - 4*x**2 + x + 1. Let h(j) = -a(j) - 6*z(j). Let h(r) = 0. Calculate r.
-8, 0, 1
Find l, given that -5/2*l**5 + 40 + 155/2*l**3 + 325/2*l**2 + 15/2*l**4 + 135*l = 0.
-2, -1, 8
Let o = 103405 + -103401. Determine q, given that -4*q**o + 0 - 88/3*q**3 + 68/3*q**2 + 32/3*q = 0.
-8, -1/3, 0, 1
Let w(q) = q**3 + 171*q**2 + 9747*q + 185185. Let j(m) = m**3 + 171*m**2 + 9747*m + 185187. Suppose -53*o = -6*o - 141. Let v(x) = o*w(x) - 4*j(x). Factor v(n).
-(n + 57)**3
Let d(g) be the third derivative of -1/60*g**5 + 11/24*g**4 + 2*g**3 + 0 - 5*g**2 + 13*g. Solve d(j) = 0 for j.
-1, 12
Let d(u) = -2*u**3 + u**2 - u. Let m(b) = 4*b**3 - 43*b**2 + 91*b. Let z(s) = 6*d(s) + 2*m(s). Find k, given that z(k) = 0.
-22, 0, 2
Suppose 3*b = 15*b + 9*b + 19*b. Suppose b - 5/4*k**3 - 65/4*k**2 + 0*k = 0. Calculate k.
-13, 0
Let n(j) = 48*j - 120. Let l(v) = -6*v - 46. Let z be l(-8). Let a(m) = -2*m**2 - 2*m. Let k(u) = z*a(u) + n(u). Determine o, given that k(o) = 0.
5, 6
Let r(v) be the third derivative of -v**5/120 - 2*v**4 - 14*v**2 + 15*v. Factor r(x).
-x*(x + 96)/2
Let s be (-15)/(-2)*(-24)/15. Let c(n) = -5*n**2 - 5*n - 6. Let j = 2109 + -2112. Let m(t) = t**2. Let o(f) = j*c(f) + s*m(f). Find u, given that o(u) = 0.
-3, -2
Let q(a) be the third derivative of -a**6/240 + 3*a**5/40 - a**4/6 + 421*a**2 - 2*a. Factor q(o).
-o*(o - 8)*(o - 1)/2
Let x(b) = b**3 + 2*b**2 - 2*b + 1. Let d be x(1). Suppose d*i + i = 3, -s - 4*i + 18 = 0. Factor 7 - 1 + 10*y**2 - 2*y**3 + 0*y - s*y.
-2*(y - 3)*(y - 1)**2
Let r(j) be the first derivative of -j**6/126 - 11*j**5/70 + j**4/3 - j**3/3 + 19*j - 60. Let z(t) be the third derivative of r(t). Factor z(g).
-4*(g + 7)*(5*g - 2)/7
Let x(b) be the third derivative of -b**8/1120 - 13*b**7/560 - 7*b**6/30 - b**5 - 5*b**3 - 82*b**2. Let j(v) be the first derivative of x(v). Factor j(i).
-3*i*(i + 4)**2*(i + 5)/2
Factor 73 - 23 - 3*b**2 + 2*b**3 - 3*b**2 - 50.
2*b**2*(b - 3)
Solve 3/8*f**4 - 1293/8*f**2 - 2277*f + 28566 + 33/4*f**3 = 0.
-23, 12
Let d = -43591 + 130796/3. Factor 10/3*j**2 - 1/3*j**3 + d*j + 4.
-(j - 12)*(j + 1)**2/3
Let x(a) be the first derivative of a**6/480 - a**5/24 + 11*a**4/32 - 3*a**3/2 - 13*a**2/2 + a + 112. Let u(k) be the second derivative of x(k). Solve u(z) = 0.
3, 4
Let u be 15/8 - (-171)/(-456). Let r = -17/4 + 23/4. Factor -u - 9/2*w - 9/2*w**2 - r*w**3.
-3*(w + 1)**3/2
Let y(v) = -2*v**4 - 82*v**3 + 88*v**2 + 180*v. Let p(l) = -l**3 + l**2 - 4*l. Let i(s) = -2*p(s) - y(s). Factor i(m).
2*m*(m - 2)*(m + 1)*(m + 43)
Let k(c) be the second derivative of 3*c**5/20 - 6*c**4 + 21*c**3/2 + 69*c**2 + 528*c. Factor k(u).
3*(u - 23)*(u - 2)*(u + 1)
Suppose 0 = -k - 5*s - 33 + 11, -5*k = -2*s + 29. Let n(c) = c**3 + 12*c**2 + 41*c + 46. Let w be n(k). Factor 3/7*d**w + 0 + 24/7*d**2 + 27/7*d**3 + 0*d.
3*d**2*(d + 1)*(d + 8)/7
Let s(x) be the second derivative of 5*x + 1/150*x**5 + 0*x**2 - 8 + 0*x**3 + 2/225*x**6 + 0*x**4 + 1/315*x**7. Find z, given that s(z) = 0.
-1, 0
Let i(v) be the first derivative of -4*v**3/3 + 892*v**2 - 198916*v - 1950. Solve i(b) = 0.
223
Let x(s) be the third derivative of s**5/45 + 1691*s**4/9 + 5718962*s**3/9 - 5643*s**2. Factor x(v).
4*(v + 1691)**2/3
Let u(t) be the first derivative of 0*t + 9/2*t**2 + 60 - 37/2*t**3 - 6*t**5 + 171/8*t**4. Suppose u(q) = 0. What is q?
0, 1/4, 3/5, 2
Solve 2090*w**2 - 2095*w**2 + 7567*w - 2022718 - 680110 + 4533*w - 4617672 = 0.
1210
Let u(w) be the first derivative of -3/22*w**4 + 70 + 0*w + 6/11*w**2 + 1/55*w**5 + 5/33*w**3. Factor u(m).
m*(m - 4)*(m - 3)*(m + 1)/11
Let r = -262890 + 1840233/7. Factor 0 + 45/7*k**2 + 0*k + r*k**3.
3*k**2*(k + 15)/7
Let q(z) be the first derivative of 5*z**3/3 + 240*z**2 + 1395*z + 6774. Factor q(h).
5*(h + 3)*(h + 93)
Let i be 84660/(-5810) + 2 + 13. Factor -3/7*t - 3/7 + 6/7*t**2 - 3/7*t**5 + 6/7*t**3 - i*t**4.
-3*(t - 1)**2*(t + 1)**3/7
Let a = 2179 + -2170. Let k be (a/6)/((76 + -1)/5). Factor -9/5*p**3 - 7/10*p**4 - 3/10 - k*p**5 - 11/5*p**2 - 13/10*p.
-(p + 1)**4*(p + 3)/10
Solve -18*u - 2*u**3 - 24*u**2 - 2*u - 56 - 2*u**3 - 8*u**2 + 64*u**2 = 0.
-1, 2, 7
Let m be 65 + -2 + (-250)/4. Factor 0 + 13/2*q**2 + 0*q - m*q**4 - 6*q**3.
-q**2*(q - 1)*(q + 13)/2
Let n(a) be the first derivative of a**3/15 + 21*a**2/10 - 442*a/5 - 2750. Factor n(o).
(o - 13)*(o + 34)/5
Let z(w) = -8*w**4 - 488*w**3 + 508*w**2 - 12*w - 4. Let y(p) = -9*p**4 - 486*p**3 + 510*p**2 - 15*p - 5. Let s(x) = 4*y(x) - 5*z(x). Factor s(f).
4*f**2*(f - 1)*(f + 125)
Let g be 3/(15/2)*5. Suppose -11*m - 3*o - 15 = -14*m, 4*m + 2*o = 38. Factor 4*w + 8146*w**g + 18*w**3 + m*w - 8088*w**2.
2*w*(w + 3)*(9*w + 2)
Let s(c) be the second derivative of 1/72*c**4 - 38*c + 5/4*c**2 + 4/9*c**3 + 0. Factor s(y).
(y + 1)*(y + 15)/6
Let s = -100122 + 100124. Factor 5/4*p - 5/4*p**s + 5/2.
-5*(p - 2)*(p + 1)/4
Let z(b) be the first derivative of b**4/44 + 72*b**3/11 - 219*b**2/22 - 434*b/11 + 3607. Let z(y) = 0. What is y?
-217, -1, 2
Let l(b) be the second derivative of b**6/540 + 11*b**5/180 - 91*b**3/6 - 2*b - 15. Let a(o) be the second derivative of l(o). Suppose a(h) = 0. What is h?
-11, 0
Factor -63/8*a**2 + 21/2*a + 5/8*a**3 + 11/2.
(a - 11)*(a - 2)*(5*a + 2)/8
Let j(f) be the third derivative of 0*f**3 - 1/30*f**5 + 0