 -22. Let o(d) = 7*d**3 + d**2 + 3*d + 9. Let i(j) = x*o(j) - 9*w(j). Factor i(q).
-q*(q + 1)*(q + 3)
Let a(o) be the second derivative of 0 - 1/4*o**2 - 4*o + 1/6*o**3 - 1/24*o**4. Suppose a(w) = 0. Calculate w.
1
Let y(l) be the third derivative of 27*l**7/14 + 3*l**6/2 - 77*l**5/12 - 15*l**4/2 - 10*l**3/3 + l**2 - 117*l. Determine u, given that y(u) = 0.
-1, -2/9, 1
Let t(l) be the third derivative of l**5/60 + 41*l**4/24 - 7*l**3 - l**2 + 29. Factor t(i).
(i - 1)*(i + 42)
Let f(i) = i**2 - 2*i - 4. Let j be f(-3). Let u be (-1)/j*-2 - (-148)/154. Suppose -162/7*h**2 - 72/7*h - u = 0. Calculate h.
-2/9
Let s(r) = 53 - 9*r**2 + 2*r**2 - 7*r**3 + 6*r**3 - 15*r**2 + 2*r. Let q be s(-22). Factor q + 3*y**2 + 1/3*y**3 + 9*y.
(y + 3)**3/3
Let c = -662 + 664. Determine t so that -2/3 - 2/3*t**3 - 2*t**c - 2*t = 0.
-1
Suppose 4*x - 3 = -4*n + 1, x - 9 = 3*n. Let -9*g**4 - 45*g**x + 6*g**4 + 10*g**2 + 19*g**4 + 19*g**4 = 0. Calculate g.
0, 2/7, 1
Let w(c) be the first derivative of 2*c**6/3 + 16*c**5/5 + c**4 - 40*c**3/3 - 8*c**2 + 32*c + 224. Suppose w(m) = 0. What is m?
-2, 1
Factor 1/8*b**4 + 276*b**2 + 0 - 529/2*b - 93/8*b**3.
b*(b - 46)**2*(b - 1)/8
Let s(u) be the first derivative of 2*u**5/25 + 18*u**4/5 + 572*u**3/15 - 684*u**2/5 + 722*u/5 - 180. What is l in s(l) = 0?
-19, 1
Let f(k) = 2*k**2 - 1. Let h(c) = -10*c**2 - 32*c - 108. Let u(b) = -6*f(b) - h(b). Suppose u(v) = 0. Calculate v.
-3, 19
Let a = -16 + 17. Suppose 2*x + a - 5 = 0. Solve 3*i**3 - 5*i**5 - i**2 - 2*i**x + 3*i**4 + 2*i**5 = 0 for i.
-1, 0, 1
Let h be 14 + -8 + 255/(-45). Let v = 31/3 + -10. Factor 0*p + 2/3*p**2 - h*p**4 + 0*p**3 - v.
-(p - 1)**2*(p + 1)**2/3
Let c(a) be the second derivative of a**5/12 - 5*a**4/12 - 5*a**3/2 + a**2 + 8*a. Let s(p) be the first derivative of c(p). Suppose s(v) = 0. What is v?
-1, 3
Let k = -190 - -195. Let w(b) be the first derivative of 0*b + 4*b**4 - 5 - 2*b**k - 2/3*b**3 - 2*b**2. Find a, given that w(a) = 0.
-2/5, 0, 1
Find f, given that -52*f**2 + 5 + 27*f**2 + 24*f**2 - 4*f = 0.
-5, 1
Suppose 0 = 19*a - a - 90. Suppose -12*x + a*x = 0. Find u, given that 3/4*u**5 + 1/2*u**2 - 1/4*u**3 + 0*u - u**4 + x = 0.
-2/3, 0, 1
Let q(l) be the second derivative of -l**5/80 - 5*l**4/48 + l**3/24 + 5*l**2/8 + 5*l + 2. Factor q(d).
-(d - 1)*(d + 1)*(d + 5)/4
Let l be 4/4*-1 + 1 + 3. Solve 8/3 + 2*m**2 + 20/3*m - 14/3*m**4 - m**5 - 17/3*m**l = 0 for m.
-2, -1, -2/3, 1
Let k = -869 - -869. Determine x, given that 0 + 2/13*x**5 + 0*x**4 - 2/13*x**3 + 0*x + k*x**2 = 0.
-1, 0, 1
Let l(h) be the second derivative of h**4/42 + 2*h**3/21 - 15*h**2/7 - 44*h. Factor l(k).
2*(k - 3)*(k + 5)/7
Let n(p) be the second derivative of -p**7/2520 + p**5/120 + p**4 - p. Let m(c) be the third derivative of n(c). Factor m(h).
-(h - 1)*(h + 1)
Let u be 727/3*(-9)/6. Let b = -356 - u. Let -3*c**2 + b*c**3 - 15/2*c + 3 = 0. What is c?
-1, 2/5, 1
Suppose 24*j + 4 = 26*j. Determine m, given that 17*m**5 - 36*m**4 - 12*m**4 - 2*m**j + 5*m**5 + 18*m**3 + 10*m**5 = 0.
0, 1/4, 1
Let r be (9/16)/(290/1160). Factor -r*w + 3 - 3/4*w**2.
-3*(w - 1)*(w + 4)/4
Factor 2/9*r**2 - 2/9 + 0*r.
2*(r - 1)*(r + 1)/9
Let b(j) = j**3 + 4*j**2 - j + 2. Let u be b(0). Determine v so that 4/9 + 2/9*v**u + 2/3*v = 0.
-2, -1
Let u(i) be the third derivative of 0 - 1/84*i**8 + 0*i + 2/35*i**7 + 0*i**4 - 1/15*i**6 - 13*i**2 + 0*i**5 + 0*i**3. Factor u(n).
-4*n**3*(n - 2)*(n - 1)
Let a(z) = 10*z**4 - 24*z**3 + 27*z**2 - 6*z - 2. Let b(n) = 41*n**4 - 95*n**3 + 110*n**2 - 24*n - 9. Let v(k) = 9*a(k) - 2*b(k). Factor v(i).
i*(i - 2)*(2*i - 1)*(4*i - 3)
Let f(d) be the second derivative of -1/525*d**7 + 0 - 1/375*d**6 + 0*d**2 + 2/75*d**4 + 0*d**3 - 2*d + 2/125*d**5. Find h, given that f(h) = 0.
-2, -1, 0, 2
Let f(x) be the first derivative of -x**7/210 + x**6/40 - x**4/6 - 9*x**2/2 + 7. Let u(y) be the second derivative of f(y). Factor u(n).
-n*(n - 2)**2*(n + 1)
Factor 21/5 + 2/5*q**3 + 9*q**2 + 64/5*q.
(q + 1)*(q + 21)*(2*q + 1)/5
Let a(x) = -x**2 + 6*x + 13. Let d be a(7). Let m be (-171)/(-12) + (-1)/4. Factor 6 + 18*u**3 - 2 + m*u + 52*u**2 + 18*u + d*u**3.
4*(u + 1)**2*(6*u + 1)
Factor -2/3*y**4 + 0*y**3 + 1/2*y**2 + 0 - 1/6*y.
-y*(y + 1)*(2*y - 1)**2/6
Let g(h) be the second derivative of h**7/1260 - h**6/540 - h**5/180 + h**4/36 - 7*h**3/6 + 2*h. Let w(n) be the second derivative of g(n). Factor w(f).
2*(f - 1)**2*(f + 1)/3
Let h be (-6)/9 - (-136)/6. Suppose 21*m = h*m - 2. Solve 0*g - 2/7 + 2/7*g**m = 0 for g.
-1, 1
Let b(x) be the second derivative of 3*x**5/20 - x**4/2 - 13*x**3/2 - 15*x**2 - 2*x - 15. Factor b(o).
3*(o - 5)*(o + 1)*(o + 2)
Let k(c) be the second derivative of -c**4/42 + 11*c**3/21 + 12*c**2/7 - 111*c. Let k(b) = 0. What is b?
-1, 12
Let a = 12 + -15. Let k = a - -6. Suppose 3*m**4 - 3*m**4 - 3*m + 8*m**k + m**3 + 6*m**4 = 0. What is m?
-1, 0, 1/2
Let s = 2252/10215 - -2/1135. Let l(f) be the first derivative of -1 + 1/45*f**5 + 0*f**3 - s*f**2 + 0*f + 1/12*f**4. Determine i so that l(i) = 0.
-2, 0, 1
Let c(p) be the first derivative of 2*p**5/45 - p**4/18 - 2*p**3/9 + p**2/9 + 4*p/9 + 85. Solve c(g) = 0 for g.
-1, 1, 2
Let i(j) be the second derivative of j**4/48 - j**3/2 - 34*j - 2. Factor i(a).
a*(a - 12)/4
Let u(s) be the second derivative of s**4/12 - 2*s**3 - 14*s**2 - 17*s. Solve u(c) = 0.
-2, 14
Let c be (-58)/(-30) + 1/(-3). Let r be 5/(-45) + (-11918)/(-9090). Suppose c - 4/5*l**3 - r*l**2 + 2/5*l**4 + 8/5*l = 0. Calculate l.
-1, 2
Let j(v) be the first derivative of 13 - 5*v**3 - 45/2*v**2 - 9*v - 5/12*v**4. Let a(d) be the first derivative of j(d). Let a(w) = 0. Calculate w.
-3
Suppose n - 2*l = 1 - 3, 4 = 5*n + 4*l. Let x(b) be the third derivative of 8*b**2 - 1/20*b**5 + 1/2*b**4 + n + 0*b - 3/2*b**3. Factor x(k).
-3*(k - 3)*(k - 1)
Let l(w) be the first derivative of w**4/8 - 5*w**3/6 - w**2 + 10*w + 63. Factor l(t).
(t - 5)*(t - 2)*(t + 2)/2
Let h be (12/(-150))/((-216)/30). Let j(r) be the second derivative of -3*r + 0*r**3 + 0 + 0*r**4 + h*r**6 - 1/60*r**5 + 0*r**2. Factor j(n).
n**3*(n - 1)/3
Let t be (-280)/(-60) + 2*1/6. Suppose -20*v + 17*v + 2*j = -13, 4*j = -v - t. Factor -11/4*f**v + 3/2*f**2 + 0*f + 0 + 3/4*f**4.
f**2*(f - 3)*(3*f - 2)/4
Let l = 50 + -45. Let x(o) = -2*o - 10. Let u be x(-9). What is t in 12*t**2 - l - 4*t**3 + 1 + u - 12*t = 0?
1
Let g(y) be the second derivative of -y**6/30 + y**5/3 - 2*y**4/3 - 15*y**2 + 15*y. Let m(v) be the first derivative of g(v). Find x such that m(x) = 0.
0, 1, 4
Suppose 8*c + 12 = 2*c. Let x = 1 - c. Factor -157*i**x - 2 + 155*i**3 - 7*i - 6*i**2 + i.
-2*(i + 1)**3
Suppose q = 3*m - 16, -2*m = q - 5 - 4. Let h be 5 + -2 - (-14)/(-5). Find b, given that 0 - 1/5*b**2 + 1/5*b**3 + 0*b + h*b**4 - 1/5*b**m = 0.
-1, 0, 1
Factor -12/7 + 12/7*c**2 + 3/7*c - 3/7*c**3.
-3*(c - 4)*(c - 1)*(c + 1)/7
Let l be (-18)/(-51)*(-7)/(84/20). Let b = l - -91/68. Factor 3/4 + b*a**2 + 3/2*a.
3*(a + 1)**2/4
Let c(t) be the third derivative of t**6/780 - 2*t**5/195 - 19*t**4/156 - 14*t**3/39 + t**2 + 34*t. Factor c(h).
2*(h - 7)*(h + 1)*(h + 2)/13
Let n(x) be the first derivative of 1/9*x**3 + 2 - 5/54*x**4 + x + 2/9*x**2. Let a(r) be the first derivative of n(r). Determine o so that a(o) = 0.
-2/5, 1
Let m be 1*(2 + -2) - -3 - -5. What is p in -m*p - 5*p**2 - 43 - 52*p - 137 = 0?
-6
Let m be (-8)/(8/(-3)) - -9. Factor 4*c**2 + 12*c - 3*c**3 + 6*c**2 - 13*c**2 + m.
-3*(c - 2)*(c + 1)*(c + 2)
Let u(q) be the second derivative of 7*q + 0 + 0*q**4 + 1/90*q**5 + 2*q**2 + 0*q**3. Let s(i) be the first derivative of u(i). Let s(f) = 0. Calculate f.
0
Let r(k) be the second derivative of k**7/126 - k**6/10 + 13*k**5/30 - k**4/2 - 3*k**3/2 + 9*k**2/2 - k + 67. Factor r(c).
(c - 3)**3*(c - 1)*(c + 1)/3
Suppose 4*s = -3*h + 40, 0 = 88*h - 83*h + 4*s - 40. Let w = -37 + 151/4. Find m such that 0 - w*m**2 + h*m + 3/4*m**3 = 0.
0, 1
Determine b so that 65/6*b**3 + 2/3*b**5 + 4/3 - 9/2*b**4 - 31/3*b**2 + 2*b = 0.
-1/4, 1, 2
Let d(l) = 3*l**3 + 11*l**2 + 12*l - 1. Let g = -78 + 79. Let o(m) = -m**2 - 1. Let q = 2 - 3. Let y(z) = g*o(z) + q*d(z). Find a, given that y(a) = 0.
-2, 0
Let l be 2*2/(-4) + 5/1. Let -11*b**l + 0*b**3 - 5*b**3 + 9*b**4 - 4*b**2 - b**3 = 0. Calculate b.
-2, -1, 0
Suppose 3*c - 30 = -q, 3*c - 6*c = -q + 18. Let x b