*4/5 + 3*d**3/10 - 5*d**2 + 2. Factor b(i).
3*(i + 1)*(5*i + 3)/5
Let h(f) be the first derivative of -f**5/240 - f**4/32 + f**3/6 + 23*f**2/2 + 25. Let s(k) be the second derivative of h(k). Determine z so that s(z) = 0.
-4, 1
Let g(s) be the first derivative of -4*s**3/3 + 68*s**2 - 132*s - 466. Factor g(r).
-4*(r - 33)*(r - 1)
Let a(v) = 5*v + 3*v**2 + 13*v - 17*v + 2. Let u be a(0). Suppose 0 - 5/8*d**u + 1/4*d = 0. What is d?
0, 2/5
Determine b so that -4*b**2 + b**2 + 36 + 6*b**2 - 24*b - 3*b**2 + 4*b**2 = 0.
3
Let x = -319 - -322. Let w(s) be the third derivative of 0*s + 1/120*s**5 + 1/48*s**4 + 4*s**2 + 0 - 1/6*s**x. Factor w(b).
(b - 1)*(b + 2)/2
Factor 3/7 + 3/7*n**2 - 6/7*n.
3*(n - 1)**2/7
Let n be (-5*21/70)/((-18)/24). Suppose 4/11 - 34/11*b**n + 28/11*b**3 + 2/11*b = 0. What is b?
-2/7, 1/2, 1
Find m such that 22/5*m**4 - 2/5 - 28/5*m**3 - 6/5*m**5 + 2/5*m + 12/5*m**2 = 0.
-1/3, 1
Let o = 22 - 19. What is r in 3*r**o - 3*r**3 - 2*r**3 - 2*r**2 + 4*r**2 = 0?
0, 1
Let d be 13/((-325)/(-10)) - (-303)/5. Let u = d - 181/3. Let -u*l**2 - 2/3*l**5 - 2/3*l + 4/3*l**3 + 1/3 + 1/3*l**4 = 0. Calculate l.
-1, 1/2, 1
Let w be (3/(-5))/(2/(-30)). Suppose -5*v - w = 4*i - 2*i, 4*i + 4*v = 0. Factor 10/13*k**2 + 4/13*k + 2/13*k**4 + 8/13*k**i + 0.
2*k*(k + 1)**2*(k + 2)/13
Let c(q) be the first derivative of 2*q**5/25 - 16*q**4/5 + 44*q**3 - 968*q**2/5 - 2662*q/5 + 51. Find i such that c(i) = 0.
-1, 11
Let j(y) = y**2. Let x(t) = 3*t**2 - 30*t + 2. Let u(n) = -2*j(n) + x(n). Let a be u(30). Factor -1/2*m**a + 1 - 1/2*m.
-(m - 1)*(m + 2)/2
Let a(t) be the first derivative of 2*t**7/315 + t**6/36 + t**5/30 - t**4/36 - t**3/9 + t**2/2 - 4. Let r(m) be the second derivative of a(m). Factor r(n).
2*(n + 1)**3*(2*n - 1)/3
Let r be 6/2 + 6 + -3. Let p be 1*-6*r/(-4). Factor 1 + 0*o + 1 - 5*o - p*o**2 - 2*o.
-(o + 1)*(9*o - 2)
Suppose -6 - 4 = 2*c, 2*f - 4*c - 36 = 0. Suppose 0 = f*q - 25*q + 51. Factor 5/3*p**q + 4/3*p - 13/3*p**2 + 4/3.
(p - 2)*(p - 1)*(5*p + 2)/3
Let p(v) = v + 20. Let l be p(-6). Let c = l - 12. Factor -g - 2 - 3 - 3*g**2 + 7*g + c.
-3*(g - 1)**2
Let l(c) be the third derivative of c**6/60 + 7*c**5/30 + c**4/3 - 4*c**3 - 63*c**2 + 5. Suppose l(b) = 0. Calculate b.
-6, -2, 1
Factor 710/17*i**3 + 0 - 50/17*i**4 + 120/17*i + 592/17*i**2.
-2*i*(i - 15)*(5*i + 2)**2/17
Let l(r) be the first derivative of r**3/5 - 246*r**2/5 + 20172*r/5 + 50. Find p, given that l(p) = 0.
82
Let z(w) = -w**3 + w**2 - 1. Let i(m) = -5*m**3 + 4*m**2 + 3*m - 2. Let k(t) = -5*i(t) + 20*z(t). Find j, given that k(j) = 0.
-1, 2
Let q(a) = 3*a**2 + 69*a - 138. Let d be q(-25). Factor -1/3*x**4 - 204*x - 289/3 - d*x**3 - 358/3*x**2.
-(x + 1)**2*(x + 17)**2/3
Let u(m) be the first derivative of -3*m**5/5 - 5*m**4/4 + 5*m**3/3 + 5*m**2/2 - 2*m + 138. Suppose u(l) = 0. Calculate l.
-2, -1, 1/3, 1
Let q be 273/392 - (-3)/(-42). Factor q*v**2 + 1/8*v + 3/8*v**4 + 7/8*v**3 + 0.
v*(v + 1)**2*(3*v + 1)/8
Let n(z) be the first derivative of -z**6/6 + 2*z**5/5 - z**4/4 + 250. Factor n(w).
-w**3*(w - 1)**2
Suppose o = 5*d - 13, 4*o - 3*d + 0*d + 18 = 0. Let m = 11 + o. Factor 3*v**2 + 2 + 4*v**2 - m*v**2 + v.
-(v - 2)*(v + 1)
Let y(g) = g**2 + 22*g - 21. Let q be y(-23). Solve 18*c**2 + q - 5 + c**3 - 15*c**2 - c = 0.
-3, -1, 1
Suppose -4*b + g + 15 = 0, -4*g = 3*b - 3*g - 6. Let -7*h**4 - 52 + 50 + 4*h**5 + h**4 - 4*h**b + 8*h**2 = 0. What is h?
-1, -1/2, 1
Factor -150/7 - 36/7*s**2 + 3/7*s**3 + 135/7*s.
3*(s - 5)**2*(s - 2)/7
Let v(d) be the first derivative of 4*d**5/35 + 12*d**4/7 + 184*d**3/21 + 120*d**2/7 + 100*d/7 + 415. Determine g, given that v(g) = 0.
-5, -1
Let z be 7086/(-846) - -2 - -5. Let f = -2/47 - z. What is c in -f - 1/3*c**2 + 4/3*c = 0?
2
Let f(k) be the third derivative of 0 - 2/27*k**4 - 1/54*k**5 + 0*k - 4*k**2 - 1/540*k**6 - 4/27*k**3. Factor f(h).
-2*(h + 1)*(h + 2)**2/9
Let m(u) be the third derivative of 5/96*u**5 + 3/16*u**3 - 5/32*u**4 + 0*u + 0 - 28*u**2. Find d, given that m(d) = 0.
3/5
Let y(r) be the second derivative of 9*r + 0*r**2 + 0*r**4 + 1/70*r**5 + 0*r**3 + 0 + 1/105*r**6. Factor y(l).
2*l**3*(l + 1)/7
Let f = -482 - -9641/20. Let s(k) be the third derivative of -10*k**2 - f*k**5 + 0*k - 1/2*k**3 + 1/4*k**4 + 0. Factor s(y).
-3*(y - 1)**2
Suppose 4*u = -0*u + 32. Suppose u*f - 10*f = -4. Factor 0*s + 0 + 2/13*s**5 - 2/13*s**f - 2/13*s**3 + 2/13*s**4.
2*s**2*(s - 1)*(s + 1)**2/13
Suppose 11*m - 967 = 1167. Let q = m + -194. Factor q + 2/3*w + 4/3*w**3 + 5/3*w**2 + 1/3*w**4.
w*(w + 1)**2*(w + 2)/3
Factor 0 + 6*f - 3/4*f**2.
-3*f*(f - 8)/4
Suppose 2*l + 14 = -2*y, y + 3 = -0*y - 5*l. Let s(h) = h**2 + 10*h + 18. Let q be s(y). Factor -10*u**2 + 2*u**q + 6*u**2 + u + 3*u - 2.
-2*(u - 1)**2
Let h(z) be the second derivative of -7*z**6/10 + 69*z**5/20 - 5*z**4 + 2*z**3 + 61*z + 1. Find y such that h(y) = 0.
0, 2/7, 1, 2
Determine o, given that 152*o - 1/3*o**2 - 17328 = 0.
228
Suppose -h + 20 = 6*v, 25*h = -v + 27*h - 1. Factor -9/2 + 21/2*b - 61/8*b**2 - 1/8*b**4 + 7/4*b**v.
-(b - 6)**2*(b - 1)**2/8
Suppose 223 = 22*n + 69. Suppose n*o + f - 2 = 5*o, 0 = 4*o - f + 2. What is g in 3/5*g - 6/5*g**2 + o = 0?
0, 1/2
Suppose -2*c = -18*c. Let d = c + 3. Solve 5/2*a**d + 1/2 - 1/2*a**2 - 5/2*a = 0 for a.
-1, 1/5, 1
Let j = -41 - -44. Solve 6*k**2 - 19*k + 2*k**4 + 6*k**j + 2*k**4 + 21*k - 2*k**4 = 0.
-1, 0
Let t(q) = q**2 + 7*q - 6. Let p be t(-8). Let -2/21 + 4/21*l - 2/21*l**p = 0. What is l?
1
Let c(z) be the second derivative of -z**9/756 - z**8/70 - 2*z**7/35 - 4*z**6/45 + 4*z**3/3 - z. Let f(l) be the second derivative of c(l). Factor f(r).
-4*r**2*(r + 2)**3
Let a = -3353 - -804721/240. Let k(w) be the third derivative of -1/6*w**3 + 0*w + 1/24*w**4 - a*w**5 - 6*w**2 + 0. Factor k(v).
-(v - 2)**2/4
Factor -44*u + 0*u + 9*u + 11 + 45*u**2 - 21.
5*(u - 1)*(9*u + 2)
Let o(g) be the second derivative of -g**4/28 - 167*g**3/7 - 83667*g**2/14 - g - 20. Factor o(z).
-3*(z + 167)**2/7
Let l(w) be the third derivative of -w**6/40 + w**5/5 - 5*w**4/8 + w**3 - 226*w**2. Determine k, given that l(k) = 0.
1, 2
Determine d, given that -261*d**3 + 2*d**5 + 40 + 134*d**3 + 92*d - 5*d**4 + 10*d**2 + 96*d**3 = 0.
-2, -1/2, 2, 5
Suppose -c + 3*c - 5*c = 0. Let k(f) be the third derivative of 0 + 0*f**3 + 0*f + 0*f**5 + c*f**4 - 1/40*f**6 + 4*f**2. Let k(r) = 0. Calculate r.
0
Let u(p) be the first derivative of -2*p**3/39 - 10*p**2/13 - 50*p/13 - 28. Factor u(m).
-2*(m + 5)**2/13
Let a(d) = -2*d + 6. Let p be a(2). Factor 6*z**4 - 4*z - 16*z**p + 16*z**4 - 6*z**4 + 4*z**3.
4*z*(z - 1)*(z + 1)*(4*z + 1)
Let r(t) be the third derivative of t**6/24 - 17*t**5/12 - 185*t**4/24 - 95*t**3/6 + 90*t**2. Factor r(k).
5*(k - 19)*(k + 1)**2
Let u(w) be the third derivative of w**8/560 - w**6/30 + 2*w**3/3 + 6*w**2. Let y(m) be the first derivative of u(m). What is d in y(d) = 0?
-2, 0, 2
Let v(a) = 870*a**2 + 204*a + 12. Let n(c) = 6*c + 41. Let q be n(-6). Let z(m) = -1739*m**2 - 408*m - 24. Let k(w) = q*v(w) + 3*z(w). Factor k(i).
-3*(17*i + 2)**2
Let i be ((-40)/(-10))/(4/5). Let m(o) = 5*o**3 - 5*o**2 - 5*o + 15. Let q(b) = -b**2 + 2*b + 1. Let a(f) = i*q(f) - m(f). Let a(w) = 0. Calculate w.
-2, 1
Let g = -7/10 - -6/5. Let p = 7279/29212 + 6/7303. Factor g*r**4 - 1/2*r**2 + 0*r**3 + 0 + p*r - 1/4*r**5.
-r*(r - 1)**3*(r + 1)/4
Determine x, given that -56*x + 54 + 31/2*x**2 - 1/2*x**3 = 0.
2, 27
Let q(w) = 43*w - 83. Let m be q(2). Let i(n) be the first derivative of 5 + 0*n - 12*n**m - 6*n**2 + 21/4*n**4. Determine h, given that i(h) = 0.
-2/7, 0, 2
Let p(z) = -2*z**3 + 22*z**2 + 26*z - 24. Let q be p(12). Let k(c) be the second derivative of 0 + 1/9*c**3 - c + q*c**2 - 1/36*c**4 - 1/60*c**5. Factor k(j).
-j*(j - 1)*(j + 2)/3
Let j(f) be the second derivative of 49*f**6/600 - 7*f**5/300 - 11*f**4/40 - 3*f**3/10 + 9*f**2/2 + 16*f. Let a(d) be the first derivative of j(d). Factor a(l).
(l - 1)*(7*l + 3)**2/5
Let g(c) = 5*c**3 - 14*c**2 + 15*c - 3. Let n(q) = 4*q**3 - 14*q**2 + 14*q - 2. Let m be ((-18)/4)/(12/16). Let r(w) = m*n(w) + 4*g(w). Factor r(t).
-4*t*(t - 6)*(t - 1)
Let n = 2 - 0. Suppose -n*u = 3*u - 15. Factor 5*i + 5*i - 10*i**u + 0 - 3*i**2 + 7*i**2 - 4.
-2*(i - 1)*(i + 1)*(5*i - 2)
Let u(v) = v**2 - 3*v + 4. Let a be u(3). Suppose -3*r - 2 = -a*