/20 - 24*k**2. Let b(o) be the third derivative of x(o). Factor b(s).
-3*(s + 4)**3
Factor -27*t**3 + 206*t**2 + 225*t - t**2 - 49*t**2 + 42.
-3*(t - 7)*(t + 1)*(9*t + 2)
Let f(a) be the third derivative of 11*a**7/14 + 7*a**6/40 - 3*a**5/10 - 10*a**2 + a. Factor f(g).
3*g**2*(5*g + 2)*(11*g - 3)
Factor 7/6*s**2 + 4/3 + 5*s.
(s + 4)*(7*s + 2)/6
Let m(c) be the first derivative of -4*c**3/3 - 380*c**2 - 36100*c + 407. Suppose m(s) = 0. Calculate s.
-95
Let a(n) be the first derivative of 2/3*n**3 + 0*n - 17 - 4*n**2. Find c such that a(c) = 0.
0, 4
Let g(c) = 7*c**2 + c + 4. Let b(q) = -6*q**2 - 4. Suppose 7*j = 12*j + 30. Let z(m) = j*b(m) - 5*g(m). Factor z(s).
(s - 4)*(s - 1)
Let t(n) be the first derivative of -5*n**4/4 + 80*n**3/3 - 205*n**2/2 + 130*n + 475. Factor t(h).
-5*(h - 13)*(h - 2)*(h - 1)
Let c = -1243/168 - -158/21. Determine x so that -1/4 - 3/8*x - c*x**2 = 0.
-2, -1
Let d = -7 + 15. Suppose -4*b - 24 = -2*j, -4*b = -j - 3*b + d. Solve -3*i**2 + j*i**3 - 4*i**2 - 9*i**2 + 12*i = 0 for i.
0, 1, 3
Let b(a) = -14*a + 100. Let c be b(7). Find f, given that 2/5*f - 2/5*f**c + 12/5 = 0.
-2, 3
Suppose 39*h - 32*h = 812. Let q be 1*22/24 + (-29)/h. Determine l so that -2/3*l**2 - q*l**3 - 1/6*l**4 + 0 + 0*l = 0.
-2, 0
Let d = 1772/5 - 12354/35. Find b such that d*b - 2/7*b**2 - 8/7 = 0.
1, 4
Suppose -12 = -a - 2*x, 5*a - 2*x - 24 = -0*x. Suppose 0 = -a*l + 15 + 9. Factor -1/5 + 1/10*c**l + 3/10*c - 3/10*c**3 + 1/10*c**2.
(c - 2)*(c - 1)**2*(c + 1)/10
Let c(t) = -1808*t**3 + 4848*t**2 + 1668*t + 120. Let g(z) = 5423*z**3 - 14543*z**2 - 5003*z - 365. Let v(n) = -8*c(n) - 3*g(n). Suppose v(x) = 0. What is x?
-3/19, 3
Let b(o) = -o**3 + 18*o**2 + 46*o - 510. Let z be b(19). Factor -1/2*w - 1/2*w**5 - w**2 + 1/2 + w**z + 1/2*w**4.
-(w - 1)**3*(w + 1)**2/2
Let b(f) = -f**3 - f**2 + f. Let s be b(0). Let p(q) be the second derivative of 34/3*q**3 + 10*q + 21/2*q**4 + s - 81/20*q**5 + 4*q**2. Factor p(w).
-(w - 2)*(9*w + 2)**2
Let n be 2184/532 - (-2)/(-19). Factor 3/4*u**5 + 3/2*u**2 - 3/4*u + 0 - 3/2*u**n + 0*u**3.
3*u*(u - 1)**3*(u + 1)/4
Let l(w) = 2*w**2 + 6*w. Let z be l(2). Let 9*k**2 + 9*k**2 + 2*k**3 - z*k**2 = 0. Calculate k.
0, 1
Let g = 32/13 + 1/26. Let i(q) be the first derivative of -4 + 0*q - 3/4*q**2 + g*q**3 - 3/2*q**4. Factor i(w).
-3*w*(w - 1)*(4*w - 1)/2
Let g(q) = q**3 - 7*q**2 + 17*q - 20. Let n be g(4). Let a = 5 - 3. Find x, given that 2/3*x**3 - 2/3*x**4 + 4/3*x**a + 0*x + n = 0.
-1, 0, 2
Let z(v) be the third derivative of -v**8/840 - v**7/525 + 7*v**6/150 + v**5/25 - 3*v**4/4 + 9*v**3/5 + 297*v**2. Suppose z(c) = 0. Calculate c.
-3, 1, 3
Let r(q) be the third derivative of q**8/2016 - q**6/240 + q**5/180 - 31*q**2. Factor r(u).
u**2*(u - 1)**2*(u + 2)/6
Let k = 200 - 146. Let b be (36/k)/(1/3). Find r, given that 3/5*r**b + 0 - 6/5*r = 0.
0, 2
Let t be (-2)/(84/7 + -15). Factor t*a**4 - 8/3*a - 8/3*a**3 + 4*a**2 + 2/3.
2*(a - 1)**4/3
Let w(z) be the second derivative of 4/13*z**3 - 1/65*z**6 + 1/130*z**5 + 17*z + 11/78*z**4 + 4/13*z**2 - 1/273*z**7 + 0. Let w(t) = 0. Calculate t.
-2, -1, 2
Suppose -20 = -4*w + 2*j, 4*w - 4*j = 42 - 14. Suppose w*k = 5*k - 14. Determine u so that k*u**2 - 3*u**5 - 2*u**2 - 2*u**3 + 5*u + u**2 + 1 - 7*u**4 = 0.
-1, -1/3, 1
Factor -2/5*z**4 - 224/5*z + 32 + 96/5*z**2 - 8/5*z**3.
-2*(z - 2)**3*(z + 10)/5
Determine n, given that 2256 - 1128 - 1128 - 60*n**2 + 63*n - 3*n**3 = 0.
-21, 0, 1
Let s(i) = -36*i - 535. Let k be s(-15). Determine t so that 0 + 18/5*t**3 - 21/5*t**4 + 6/5*t**k - 6/5*t + 3/5*t**2 = 0.
-1/2, 0, 1, 2
Factor -5/2*q**3 + 11*q**2 - 5/2*q - 6.
-(q - 4)*(q - 1)*(5*q + 3)/2
Let q(n) = -n**2 - 4*n + 11. Let i(g) = 9*g - 10. Let r(z) = 10*z - 10. Let h(a) = -5*i(a) + 4*r(a). Let m(o) = 6*h(o) - 5*q(o). Factor m(t).
5*(t - 1)**2
Let w be (-9)/(9/16)*-20. Let i be (3/12)/((-8)/(w/(-25))). Let 8/5*z**3 + 0 + 4/5*z + 2*z**2 + i*z**4 = 0. What is z?
-2, -1, 0
Suppose o + 224 = -5*x - 7, 2*x = -o - 234. Let c = o + 435. What is b in -199 + c + b**4 + 12*b**2 - 8*b - 6*b**3 = 0?
0, 2
Let g(h) be the third derivative of -2*h**7/105 - 7*h**6/15 - 13*h**5/15 - 194*h**2. Suppose g(j) = 0. Calculate j.
-13, -1, 0
Let f = 165 - 1979/12. Let p(i) be the first derivative of -1/3*i**3 + 1/15*i**5 + 5/6*i**2 - 2/3*i - 6 - f*i**4. Suppose p(q) = 0. What is q?
-2, 1
Let n(w) = 3*w**2 - 4*w - 4. Let d = 31 - 27. Let r(k) = 5*k**2 - 7*k - 7. Let y(l) = d*r(l) - 7*n(l). Let y(h) = 0. What is h?
0
Let x(f) be the third derivative of 0*f**5 + 0*f**4 + 0*f**3 + 0*f**6 + 0*f + 1/1365*f**7 + 0 - 10*f**2. Factor x(k).
2*k**4/13
Suppose 2*y = 5*m - 29, -7 + 40 = 3*m + 4*y. Suppose -b - 2 = -m. Find k, given that 28/11*k**3 + 12/11*k**4 + 18/11*k + 4/11 + 32/11*k**2 + 2/11*k**b = 0.
-2, -1
Let t(n) be the first derivative of -3*n**4/32 - 5*n**3/4 - 9*n**2/4 + 27*n + 561. Find w such that t(w) = 0.
-6, 2
Suppose -4*b = -3*a + 106, 0 = -a + 5*b + 31 + 19. Let -a - 2*w + 137*w**2 - 132*w**2 - 3*w = 0. Calculate w.
-2, 3
Let c(v) = -2*v**2 + 61*v - 3. Let a(g) = -20*g**2 + 672*g - 32. Let y(w) = -3*a(w) + 32*c(w). Find s, given that y(s) = 0.
-16, 0
Let m(l) = l**4 + 5*l**3 + 2*l**2. Let o(u) = u**4 - u**3 + u**2. Let x(s) = -m(s) + 2*o(s). Determine i, given that x(i) = 0.
0, 7
Let v(n) be the second derivative of 5/42*n**3 + 0 - 2/7*n**2 + 36*n - 1/84*n**4. Factor v(k).
-(k - 4)*(k - 1)/7
Factor 5024 - 86*c - 1424 - 154*c + 4*c**2.
4*(c - 30)**2
Suppose -j = -0*j - 2. Let t(w) = w**3 - w - 4*w + w + 2*w**j + w. Let y(u) = 2*u**3 + 5*u**2 - 6*u + 1. Let r(i) = -5*t(i) + 2*y(i). What is h in r(h) = 0?
-1, 2
Let d be (3/(-178))/((-84)/(-16) - 3). Let j = d + 271/534. Find s, given that 2*s + 3/2 + j*s**2 = 0.
-3, -1
Let i be ((-4)/(-14))/((-582)/(-6790)). Factor 2/3*b**2 + 2 + 2/3*b**3 - i*b.
2*(b - 1)**2*(b + 3)/3
Factor 1/2*n**3 - 7/2*n**2 + 0*n + 0.
n**2*(n - 7)/2
Let k(d) = 6*d**4 - 19*d**3 + 63*d**2 - 130*d + 70. Let q(l) = l**4 - l**3 - l**2 - 1. Let s(h) = k(h) - 5*q(h). Solve s(z) = 0.
1, 3, 5
Let k = 74 - 60. Let f = 128/9 - k. Suppose -f*m**3 - 2/9 - 2/3*m - 2/3*m**2 = 0. Calculate m.
-1
Suppose 167 + 53 = 10*c. Let a be (c/(-3) - -4)/((-12)/18). Find z, given that -5/4*z - 5/4*z**4 - 5/2*z**2 - 1/4*z**a - 5/2*z**3 - 1/4 = 0.
-1
Let u(l) be the second derivative of l**4/48 + 13*l**3/24 + 11*l**2/4 - 5*l - 6. Solve u(j) = 0.
-11, -2
Let m(n) be the first derivative of -4 + 1/5*n**5 + n**4 + n**2 + 0*n + 5/3*n**3. Determine y, given that m(y) = 0.
-2, -1, 0
Let j(r) be the second derivative of 3*r**5/10 - 35*r**4/4 - 9*r**3 + 262*r. Factor j(t).
3*t*(t - 18)*(2*t + 1)
Suppose -2*a - 4*j = 12, -a - 1 + 4 = -j. Suppose -5*c + 27 = 3*g, a = -5*c + 2*g + 7. Factor -r**2 - r**2 + 6*r - 3*r + 2 - 5*r + 2*r**c.
2*(r - 1)**2*(r + 1)
Let r(u) be the third derivative of -u**5/60 - u**4/2 - 11*u**3/6 + u**2. Let x(k) = -2*k**2 - 12*k - 10. Let c(l) = 6*r(l) - 5*x(l). Factor c(t).
4*(t - 4)*(t + 1)
Suppose o + 3 = 0, -u + o - 14 = 5*o. Let a be (u/8)/(5/(-10)). Find p, given that 9/2 + 3*p + a*p**2 = 0.
-3
Let a be -4 - (0 - -4 - 12). Suppose -y + a*y = 0. Find q such that 15/2*q**2 - 15/2*q**4 + y + 3*q**3 - 3*q = 0.
-1, 0, 2/5, 1
Suppose -o = 2*o - 9. Suppose -4*f + 13 = 3*j, 2*f + o*f - 5*j = 25. Determine a so that -25*a**f + 0*a**4 - 21*a**5 - 2*a**4 - 6*a**3 = 0.
-1, -2/7, 0
Let n(l) = 9*l**2 + 5. Let r = 3 - 1. Suppose 4*d + 0*o = -3*o + 29, -5*o = -r*d - 5. Let s(k) = -13*k**2 - 7. Let c(t) = d*s(t) + 7*n(t). Factor c(f).
-2*f**2
Suppose -2*n + 28 = c - 2*c, 4*c + 3*n = -123. Let y be (-4)/20 + 53*(-2)/c. Determine h, given that 4/3 + 2/3*h**4 - y*h**3 + 6*h**2 - 14/3*h = 0.
1, 2
Let v(w) be the third derivative of -w**7/840 + w**6/40 - 17*w**5/80 + 23*w**4/24 - 5*w**3/2 + 165*w**2 + 2*w. Suppose v(h) = 0. What is h?
2, 3, 5
Let d(x) = -54136*x**2 + 2322*x - 24. Let t(o) = 18045*o**2 - 775*o + 8. Let r(p) = -5*d(p) - 14*t(p). Solve r(u) = 0 for u.
2/95
Let w = -55 - 15. Let p be (1*18/(-21))/(225/w). Factor -2/15*u**3 + p*u**2 + 0*u + 0 - 2/15*u**4.
-2*u**2*(u - 1)*(u + 2)/15
Let u(k) be the third derivative of -k**8/84 - 2*k**7/15 - 19*k**6/30 - 5*k**5/3 - 8*k**4/3 - 8*k**3/3 + 7*k**2 + 2*k. Suppose u(v) = 0. Calculate v.
-2, -1
Let u be 14/2*64/112. Let m be (-6)/(0 - -3) + u. Factor 4*w**3 - 4*w 