ive of 2*c**5 + 85*c**4/12 + 35*c**3/6 + 14*c**2. Let q(u) = -7*u**2 - 10*u - 2. Let b(r) = -2*i(r) - 35*q(r). Factor b(l).
5*l*(l + 2)
Let g(i) = 817*i + 16. Let o be g(1). Let h = o + -10817/13. Factor -28/13*d**3 - h*d**4 - 18/13*d - 2/13*d**5 - 32/13*d**2 - 4/13.
-2*(d + 1)**4*(d + 2)/13
Let -295/3 + 5/3*d**2 + 290/3*d = 0. Calculate d.
-59, 1
Let p(l) be the third derivative of l**5/240 + l**4/6 + 5*l**3/8 + 161*l**2. Solve p(v) = 0 for v.
-15, -1
Factor 1/3*f**4 - 5/3 + 2*f + 4/3*f**2 - 2*f**3.
(f - 5)*(f - 1)**2*(f + 1)/3
Let x(p) be the second derivative of 38*p - 1/4*p**4 + 0*p**3 + 0 + 3/10*p**5 + 0*p**2 - 1/10*p**6. Factor x(a).
-3*a**2*(a - 1)**2
Let m(b) be the third derivative of 0*b**3 + 0 + 1/72*b**4 - 7/360*b**5 + 1/180*b**7 + 0*b - 1/360*b**6 - 27*b**2. Determine z so that m(z) = 0.
-1, 0, 2/7, 1
Let l = -2 + 5. Suppose -l*z = -2 - 4. Factor 87 + 5*t**2 - 84 - 6*t - 2*t**z.
3*(t - 1)**2
Let i(v) be the third derivative of v**8/6720 - v**7/1260 - v**6/720 + v**5/60 - v**4/4 - 12*v**2. Let a(q) be the second derivative of i(q). Factor a(u).
(u - 2)*(u - 1)*(u + 1)
Let z(t) = -2*t**2 - t - 1. Let h(s) = -27*s**2 - 1335*s + 145185. Let r(x) = h(x) - 15*z(x). Factor r(w).
3*(w - 220)**2
Let k(t) = -t**2 - 1. Let o(s) = 7*s**2 + 183*s + 6. Let r(z) = -6*k(z) - o(z). Suppose r(y) = 0. Calculate y.
-183, 0
Let b = -6 + 8. Let d be 1*-2 - (-3 + -1 + -2). Factor 3*z**3 - 7*z + 3*z**b + d*z**3 + 4*z - 3 - 4*z**3.
3*(z - 1)*(z + 1)**2
Solve 13333/3*r + 4489/3 - 401/3*r**2 + r**3 = 0.
-1/3, 67
Let c(x) = -2*x**5 + x**4 - x**3 + 2*x**2 - 3. Let i = 62 + -67. Let s(b) = -3*b**5 + 2*b**4 - 2*b**3 + 3*b**2 - 5. Let r(a) = i*c(a) + 3*s(a). Factor r(h).
h**2*(h - 1)*(h + 1)**2
Suppose 0 = -177*r + 191*r - 42. Let c(p) be the second derivative of 2*p + 0 - 1/11*p**2 - 1/11*p**r + 2/33*p**4. Factor c(k).
2*(k - 1)*(4*k + 1)/11
Let w(x) be the second derivative of 0*x**2 - 1/42*x**4 + 1/294*x**7 + 48*x + 1/28*x**5 + 0*x**3 - 2/105*x**6 + 0. Factor w(c).
c**2*(c - 2)*(c - 1)**2/7
Let s be (-80)/(-920) + (-44)/(-23). Let n(v) be the first derivative of -1 - 1/3*v**3 + s*v**2 - 3*v. Let n(b) = 0. What is b?
1, 3
Let s = 5821/20349 - 1/2907. Let -2/7*p**2 + s*p**4 + 0*p + 0 + 0*p**3 = 0. What is p?
-1, 0, 1
Let b = 34 + -43. Let l(a) = -3*a**2 + a + 4. Let n(z) = -13*z**2 + 5*z - 3*z + 17 + 3*z. Let m(j) = b*l(j) + 2*n(j). Factor m(w).
(w - 1)*(w + 2)
Factor 2/3*f**2 + 0 - 80/3*f.
2*f*(f - 40)/3
Suppose 2*p - y = 15, 3*p - y = 11 + 9. Suppose 5*c - 3*s + 16 = 6, -p*s = 4*c - 29. Let -c + 4 + 1 - 1 - 3*v**2 = 0. Calculate v.
-1, 1
Suppose 4 = 3*r - 2*r. Solve 80*q**2 - 35*q**r - 2*q**5 + 23*q**3 - 63*q**3 - 3*q**5 = 0.
-4, 0, 1
Let k(a) = 49*a**2 + 8 - 9 - 48*a**2 - a**3 + 3*a. Let y(d) = -4*d**3 + 4*d**2 + 13*d - 4. Let u(c) = -18*k(c) + 4*y(c). Factor u(t).
2*(t - 1)**2*(t + 1)
Let t(g) be the third derivative of -5*g**7/42 - 11*g**6/24 - g**5/6 - 43*g**2. Factor t(x).
-5*x**2*(x + 2)*(5*x + 1)
Let l(n) = -15*n**3 - 45*n**2 - 45*n - 5. Let v(r) = -7*r**3 - 23*r**2 - 22*r - 2. Let j(m) = 2*l(m) - 5*v(m). Determine w so that j(w) = 0.
-4, -1, 0
Let i = -5327/6 - -888. Suppose 10 = 3*o + 1. Factor i + 1/6*x**2 - x + 8/3*x**4 + 4*x**o.
(x + 1)**2*(4*x - 1)**2/6
Let a be 3/(60/(-105) - (-60)/7). Find l such that -a*l**2 + 0*l + 0 = 0.
0
Let z = -43 + 48. Let a be ((-1)/3)/((-2)/18). Factor a*p**2 + 0 + 7 + z - 6 - 9*p.
3*(p - 2)*(p - 1)
Suppose -4*i = c - 72, 4*i - 2 = 2*i. Find g, given that 16*g**2 - 8*g**2 - c*g + 20 + 12 = 0.
1/2, 8
Factor -3/5*x**3 - 9/5*x**4 + 3/5*x**5 + 33/5*x**2 - 36/5*x + 12/5.
3*(x - 2)*(x - 1)**3*(x + 2)/5
Let q(z) = 2*z**3 - 18*z**2 + 85*z - 70. Let u(h) = -2*h**3 + 19*h**2 - 84*h + 71. Let r(n) = -4*q(n) - 5*u(n). Suppose r(m) = 0. What is m?
3/2, 5
Let o(q) = -q**2 - 8*q + 18. Let m(k) = -4*k - 44*k + 8*k + 91 - 6*k**2. Let c(x) = 4*m(x) - 22*o(x). Find b such that c(b) = 0.
4
Let x(g) = -6*g**2 - 6*g - 3. Let y(z) = 41 + 7*z**2 - 38 + z + 5*z. Let s(f) = -4*x(f) - 3*y(f). Suppose s(l) = 0. What is l?
-1
Let a(g) be the second derivative of 1/24*g**4 - 1/60*g**5 + 1/3*g**3 + 0 + 2*g + g**2. Let x(j) be the first derivative of a(j). Factor x(l).
-(l - 2)*(l + 1)
Let x be (4/3)/((-2)/6). Let g be (x/10)/((-6)/60). Factor -1/4*w**3 + 1/4*w + 1/4*w**2 - 1/4*w**g + 0.
-w*(w - 1)*(w + 1)**2/4
Let u(f) be the first derivative of -1/10*f**5 + 1/6*f**3 - 1/2*f**2 - 2 + 0*f + 1/4*f**4. Let u(x) = 0. What is x?
-1, 0, 1, 2
Let f(t) be the first derivative of -3*t**5/5 - 3*t**4/4 + 4*t**3 + 6*t**2 - 37. Factor f(p).
-3*p*(p - 2)*(p + 1)*(p + 2)
Let n(b) = 8*b**3 + 18*b**2 + 6*b - 11. Let x(r) = -7*r**3 - 17*r**2 - 5*r + 11. Let o(q) = -6*n(q) - 7*x(q). Factor o(a).
(a - 1)*(a + 1)*(a + 11)
Let o(x) be the third derivative of -28*x**2 + 0*x**3 - 1/90*x**6 + 0*x**5 - 1/315*x**7 + 0*x**4 + 0 + 0*x. Solve o(t) = 0 for t.
-2, 0
Let y(s) be the first derivative of -30 + 1/3*s**3 - 4*s - 3/2*s**2. Factor y(a).
(a - 4)*(a + 1)
Let k = -17 + 10. Let p = 12 + k. Factor z**3 - 3*z + 4*z + p*z - 7*z.
z*(z - 1)*(z + 1)
Factor 0 - 10/9*t**2 + 0*t + 2/9*t**3.
2*t**2*(t - 5)/9
What is h in 27*h**2 - h**3 - 61*h**2 + 27*h**2 = 0?
-7, 0
Let v(m) be the second derivative of 2*m**2 + 0 + 12*m - 1/12*m**4 - 1/20*m**5 + 2/3*m**3. Factor v(n).
-(n - 2)*(n + 1)*(n + 2)
Factor s**3 + 6*s + 5*s**2 - s - 9*s**2 - 2*s.
s*(s - 3)*(s - 1)
Let y(z) be the third derivative of z**7/525 - z**6/50 + 3*z**5/50 - z**4/15 + z**2 - 16. Factor y(o).
2*o*(o - 4)*(o - 1)**2/5
Find y, given that 35 + y**2 - 48*y + 63*y - 51*y = 0.
1, 35
Let r(v) be the third derivative of -v**5/240 + 11*v**4/48 - 121*v**3/24 - 546*v**2. Suppose r(y) = 0. Calculate y.
11
Let w(s) = 2*s + 26. Let r be w(-12). Solve -r*d**2 + 50*d + 125 - 7*d**2 + 5*d**2 + 9*d**2 = 0 for d.
-5
Let h = 9931 + -9928. Let -2/3*k**4 - 1/3*k**2 - 7/6*k**h + 1/6*k + 0 = 0. Calculate k.
-1, 0, 1/4
Suppose -3*h + s + 12 = 0, 2*s = 4*h + s - 15. Let q be 6/8*8/h. Suppose d**q + d - 2*d**2 + d**2 - d**3 = 0. Calculate d.
-1, 0, 1
Let y(v) = -6*v**2 - v. Let a(p) = -19*p**2 + 102*p + 106. Let m(b) = -a(b) + 3*y(b). Determine s so that m(s) = 0.
-1, 106
Let g(t) be the first derivative of -t**5/10 + t**3 - 2*t**2 + 31*t + 7. Let s(k) be the first derivative of g(k). Factor s(q).
-2*(q - 1)**2*(q + 2)
Determine v so that -372*v**2 - 284*v**3 - 48 - 656/3*v - 260/3*v**4 - 4*v**5 = 0.
-18, -1, -2/3
Let l be (62 - 62)*(15/(-6))/5. Let d(p) be the first derivative of 2*p**2 + 2*p**5 + l*p - 10/3*p**3 - 4 - p**4. Let d(r) = 0. Calculate r.
-1, 0, 2/5, 1
Let z(s) be the first derivative of -4*s**3/3 - 28*s**2 - 52*s - 150. Find a such that z(a) = 0.
-13, -1
Suppose r + 289 = 288. Let o be -1 + -1 + r - -28. Suppose -20/3 - 850/3*b**3 + 995/3*b**4 - 100*b**5 + o*b**2 + 100/3*b = 0. Calculate b.
-1/3, 1/4, 2/5, 1, 2
Suppose -4*u + 24 = -4*p, 2*u + 3*u - 27 = 2*p. Factor u*o**2 + o + 13*o**3 - 17*o**3 + 0*o**4 + o**4 - 3*o.
o*(o - 2)*(o - 1)**2
Let p(g) = -g**2 + 6*g - 5. Let n be p(5). Suppose -7*i + 3*i + 32 = 4*v, 0 = 3*i + 4*v - 27. Factor n + 2/7*x**3 - 2/7*x**2 + 0*x + 2/7*x**4 - 2/7*x**i.
-2*x**2*(x - 1)**2*(x + 1)/7
Let a(y) be the second derivative of 0 + 4/9*y**3 + 2/3*y**2 + 1/9*y**4 - 2*y. Suppose a(b) = 0. What is b?
-1
Let r be (-619)/20 + (72/9)/40. Let s = 31 + r. Determine i, given that 1/4*i**4 - i**3 - i + s + 3/2*i**2 = 0.
1
Let f = 7089294 + -14440891573/2037. Let m = f - 2/291. Solve -2/7 - 1/7*s + m*s**2 = 0 for s.
-1, 2
Let t(i) = 2*i - 72. Let o be t(36). Factor -8/7*b + 20/7*b**3 + o + 12/7*b**2.
4*b*(b + 1)*(5*b - 2)/7
Let y(o) be the first derivative of -4*o**3/3 + 18*o**2 + 40*o + 15. Solve y(g) = 0.
-1, 10
Let z(q) be the second derivative of q**4/72 - q**2/3 + 97*q. Find v such that z(v) = 0.
-2, 2
Let l(z) = -7*z - 25. Let s be l(-4). Let x(o) be the first derivative of -2/3*o**3 - 4*o + 8 - s*o**2. Determine c, given that x(c) = 0.
-2, -1
Determine q so that 4510*q**2 + 25643*q**2 + 11463*q**2 - 4*q**4 + 253*q**3 + 7*q**4 + 359*q**3 + 943296*q = 0.
-68, 0
Suppose -20*f - 2 + 2 + 20*f**2 + 3*f**3 - 8*f**3 = 0. What is f?
0, 2
Let y(t) be the first derivative of t**3/2 - 6*t + 41. Solve y(h) = 0.
-2, 2
Let b(i) = i**2 + 2. Suppose 2*r + 5*h = -20, r = 4*h - 2*h + 8. Let l be b(r). Determine m so that 