**2 - 4.
-(s - 1)**2*(s + 1)**2
Let z(g) = -20*g - 2*g**2 - 29 + 4*g**2 - 7. Suppose -3*l + 18 = 3*x, 2 = -8*x + 10*x. Let m(k) = -3*k**2 + 21*k + 37. Let b(t) = l*z(t) + 4*m(t). Factor b(n).
-2*(n + 4)**2
Suppose -6*j - j = 4*j. Let h be (j + (-4)/(-3))*2/8. Factor 1/3*q**3 + 0 - 2/3*q + h*q**2.
q*(q - 1)*(q + 2)/3
Let d be 10/3*(-12)/(-8). Solve 5*t**3 + 6*t**4 - 3*t**d - 2*t**3 + 6*t**5 = 0 for t.
-1, 0
Let m(q) be the first derivative of -3*q**4/16 - 3*q**3/4 - 3*q**2/4 + 41. Find w such that m(w) = 0.
-2, -1, 0
Let g(s) be the third derivative of -1/12*s**4 + 1/12*s**5 + 0 + 0*s - 1/30*s**6 - 13*s**2 + 1/210*s**7 + 0*s**3. Suppose g(i) = 0. What is i?
0, 1, 2
Find w such that 0 - 5/3*w**3 - 5*w**2 + 50/3*w = 0.
-5, 0, 2
Let h(i) be the third derivative of -i**5/450 + 4*i**4/45 - 28*i**3/45 - 144*i**2. Factor h(q).
-2*(q - 14)*(q - 2)/15
Let g = -5/382 + 799/2674. Solve 0 - 4/7*h + g*h**2 = 0.
0, 2
Let a(n) be the third derivative of -n**5/120 - 65*n**4/12 - 4225*n**3/3 - 497*n**2. Solve a(r) = 0.
-130
Let i(w) be the second derivative of -w**4/42 + 2*w**3 - 63*w**2 + 3*w - 3. Factor i(c).
-2*(c - 21)**2/7
Let h(a) be the first derivative of -2*a**3/21 + 15*a**2/7 + 247. Factor h(c).
-2*c*(c - 15)/7
Let p = 1 + -1. Let r(z) = -2*z**2 + 147*z + 1488. Let g be r(-9). Suppose 2/9*h**g + p*h - 2/9*h**4 + 0*h**2 + 0 = 0. What is h?
0, 1
Factor 330/7*c**3 - 2/7*c**4 - 18150/7*c**2 + 0 + 332750/7*c.
-2*c*(c - 55)**3/7
Let y(k) = 10*k**4 + 28*k**3 + 61*k**2 + 10*k - 13. Let x(n) = n**4 - n**3 - n + 1. Let p(f) = -20*x(f) + 4*y(f). Factor p(m).
4*(m + 1)*(m + 3)**2*(5*m - 2)
Find x, given that 12/7*x - 8/7 - 4/7*x**2 = 0.
1, 2
Let w(z) be the third derivative of z**9/30240 - z**7/840 - z**6/180 + z**5/60 - 26*z**2. Let d(t) be the third derivative of w(t). Factor d(l).
2*(l - 2)*(l + 1)**2
Let p(v) = -18*v**2 - 2841*v + 479. Let y be p(-158). Suppose 1/7*k**y + 0 - 3/7*k**4 - 2/7*k + 3/7*k**2 + 1/7*k**3 = 0. What is k?
-1, 0, 1, 2
Let w(k) = k**2 - 8*k - 6. Let l(t) = t - 1 + 5 - 3 + 0. Let z(g) = 6*l(g) + w(g). Find y, given that z(y) = 0.
0, 2
Let w(p) be the second derivative of p**7/840 + 17*p**4/12 - 23*p. Let f(s) be the third derivative of w(s). Let f(i) = 0. Calculate i.
0
Let r(i) = -i**5 - 2*i**4 + i**3 - i**2. Let c(p) = 2*p**5 + 55*p**4 + 261*p**3 + 331*p**2 - 208*p - 432. Let s(y) = -5*c(y) - 15*r(y). Solve s(j) = 0.
-2, 1, 54
Let w(k) be the first derivative of -6 - 2/5*k**5 + 2/3*k**3 + 0*k**2 + 0*k + 1/6*k**6 - 1/4*k**4. Find a, given that w(a) = 0.
-1, 0, 1, 2
Let i(h) be the first derivative of 0*h - 27/8*h**4 - 54 - 12*h**3 - 12*h**2 - 3/10*h**5. Find z such that i(z) = 0.
-4, -1, 0
Suppose -13*m + 125 + 135 = 0. Factor -9 - m*g**2 - 3*g**3 - 21 + 8*g**3 - 55*g.
5*(g - 6)*(g + 1)**2
Let g(r) = -r - 162 + 161 - r**4 + 2*r**4. Let a(d) = 20*d**5 + 36*d**4 - 16*d**3 - 4*d - 4. Let p(s) = -a(s) + 4*g(s). Factor p(m).
-4*m**3*(m + 2)*(5*m - 2)
Factor 484*t**3 + 322102/5 + 22*t**4 + 5324*t**2 + 2/5*t**5 + 29282*t.
2*(t + 11)**5/5
Let v(x) be the first derivative of -9/2*x + 39/8*x**2 - 5/4*x**3 - 14. Factor v(p).
-3*(p - 2)*(5*p - 3)/4
Determine t so that t**4 - 2*t - 3*t**4 + t**3 + 5*t**3 - 6*t = 0.
-1, 0, 2
Let i(x) = 4*x**3 - 17*x**2 + 18*x - 5. Let w(z) = -4*z**3 + 16*z**2 - 16*z + 4. Let f(o) = 4*i(o) + 5*w(o). Factor f(n).
-4*n*(n - 2)*(n - 1)
Let r(u) be the third derivative of u**7/490 - 3*u**6/140 + 13*u**5/140 - 3*u**4/14 + 2*u**3/7 + 596*u**2. Find z such that r(z) = 0.
1, 2
Suppose 4*n + 4*h - 14 = -n, 2*n = 4*h. Find b such that -26*b**4 - 2 - 3*b + 20*b**3 - 17*b - 16*b**n + 44*b**4 = 0.
-1, -1/9, 1
Suppose -45 + 5 = -4*y. Factor 4*g**4 + 8 + 5*g**5 + g**3 - y*g**2 - 7*g**5 - 4*g + 3*g**5 + 0*g**3.
(g - 1)**2*(g + 2)**3
Let z(s) = -3*s**2 + 6*s. Let l(a) = -3*a**2 + 5*a. Let k be 28/(-35) + 130/(-25). Let y = 6 + -1. Let q(h) = k*l(h) + y*z(h). Factor q(u).
3*u**2
Let q(p) = -10*p**3 + 3*p**2 + 4*p + 3. Let n(b) = 26*b**3 - 10*b**2 - 12*b - 8. Let w(j) = -3*n(j) - 8*q(j). Find k such that w(k) = 0.
-2, -1, 0
Let h be ((-304)/57)/((-4)/18). Let u(j) = j**2 + 5 + 3*j + 2*j - 8 + h. Let r(a) = -a**2 - 7*a - 31. Let q(p) = 5*r(p) + 7*u(p). Let q(y) = 0. Calculate y.
-2, 2
Let u = -1176 + 1187. Let b(s) be the first derivative of 14/45*s**5 + 8/27*s**3 + 0*s**2 - u - 8/9*s**4 + 0*s. Let b(p) = 0. Calculate p.
0, 2/7, 2
Let h(g) = -5*g**3 - 115*g**2 - 9*g + 101. Let d(w) = -w**3 - 38*w**2 - 3*w + 34. Let c(j) = -7*d(j) + 2*h(j). Determine l, given that c(l) = 0.
-1, 1, 12
Let s(x) = x - 8. Let a be s(19). Suppose -4 = -5*z + a. Solve 2/3*q**2 + 2*q - 2/3 - 2*q**z = 0 for q.
-1, 1/3, 1
Suppose -5*s + 6 = -3*t, -5*t + 24 = -29*s + 32*s. Suppose -8/5*r**t - 8/5*r - 12/5*r**2 - 2/5*r**4 - 2/5 = 0. What is r?
-1
Let i = 1 + 0. Let m be 0 - ((-7)/(-9) - i). Solve 4/9*b + m*b**2 + 2/9 = 0 for b.
-1
Let k = -173 - -177. Let c be (-19)/(-7) + k/14. What is h in 0 + 1/3*h**4 + 0*h**c + 0*h - 1/3*h**2 = 0?
-1, 0, 1
Let o(n) be the third derivative of n**6/220 + 3*n**5/22 - 18*n**4/11 + 76*n**3/11 + 721*n**2. Find y such that o(y) = 0.
-19, 2
Let b = -14 - -17. Factor 0*i**2 - 27*i**3 - 2*i**4 - 5*i + 29*i**b + 2*i**2 + 3*i.
-2*i*(i - 1)**2*(i + 1)
Let a(h) be the second derivative of 1/20*h**5 - 1/30*h**6 + 0 + 1/12*h**4 - 1/6*h**3 + 23*h + 0*h**2. What is o in a(o) = 0?
-1, 0, 1
Let j(y) be the first derivative of y**4/8 - 35*y**3/6 + 323*y**2/4 - 289*y/2 + 222. Solve j(x) = 0.
1, 17
Let t(c) be the third derivative of c**7/1050 + c**6/150 - c**5/100 - 3*c**4/20 + 34*c**2. Factor t(o).
o*(o - 2)*(o + 3)**2/5
Suppose -2/5*s**4 + 3/5*s + 0 + 2/5*s**2 - 4/5*s**3 + 1/5*s**5 = 0. What is s?
-1, 0, 1, 3
Let g(p) = 3*p**3 - p**2 + 1. Let r be g(1). Let q be (-1)/(9/6*(-2)/6). Suppose -i + 2*i + i**2 - 3*i**4 + 2*i - 3*i**r + 2*i**q = 0. Calculate i.
-1, 0, 1
Let q(z) be the third derivative of -z**6/120 + z**4/8 - 4*z**3 - 22*z**2. Let s(l) be the first derivative of q(l). Factor s(t).
-3*(t - 1)*(t + 1)
Let y(c) = -c**3 - 4*c**2 - 2*c - 2. Let b be y(-4). Suppose b*h = h + 5. Factor 2*o**2 - o**2 - 3*o + 9*o - 4*o + h.
(o + 1)**2
Let n(k) be the first derivative of -18/7*k**3 - 15/28*k**4 + 12/7*k**2 + 11 + 0*k. Factor n(q).
-3*q*(q + 4)*(5*q - 2)/7
Let t(m) be the third derivative of -m**6/180 + m**5/18 + 25*m**4/36 - 125*m**3/9 - 125*m**2. Suppose t(w) = 0. Calculate w.
-5, 5
Let t = -230 - -280. Suppose -2*c + 54 = t. Factor 1/2*k**3 + k + 0 + 3/2*k**c.
k*(k + 1)*(k + 2)/2
Let z(s) = -s - 7. Let v(l) = 21 - 9 - 9. Let b(h) = -14*v(h) - 6*z(h). Let n(q) = -q**2 - 11*q. Let g(p) = -5*b(p) - 3*n(p). Let g(a) = 0. What is a?
-1, 0
Let j(g) = -5*g**2 - 8*g - 2. Let s(m) = m**2 - m. Let x be s(2). Let p(o) = 66*o**2 + 105*o + 27. Let k(i) = x*p(i) + 27*j(i). Suppose k(r) = 0. Calculate r.
-2, 0
Suppose 2*o - 2*a + 2 = 0, 4*a = 1 - 5. Let v be ((-81)/90)/(3/o). Suppose v*b**4 - 9/5*b**2 + 3/5*b - 3/5*b**3 + 6/5 = 0. What is b?
-1, 1, 2
Let m be (-10906)/3690 - 2/((-4)/6). Let q(r) be the first derivative of m*r**5 + 1/9*r**4 + 0*r + 0*r**2 + 2/27*r**3 - 6. Factor q(k).
2*k**2*(k + 1)**2/9
Find n, given that -1/3*n + 1/3*n**3 - n**2 + 1 = 0.
-1, 1, 3
Suppose 33277*b = 33314*b. Factor b - 20/3*w**2 - 2*w.
-2*w*(10*w + 3)/3
Let t = -1349 + 1352. Determine r, given that 5/3*r**t + 0 + 0*r + r**4 + 2/3*r**2 = 0.
-1, -2/3, 0
Let -2/3*p**4 + 0 + 0*p - 14/3*p**2 + 16/3*p**3 = 0. What is p?
0, 1, 7
Let m(q) be the second derivative of -q**4/60 - q**3/6 - 21*q. Suppose m(j) = 0. What is j?
-5, 0
Let w be 4 + -7 - -4 - 205/533. Factor 2/13*d**5 - w*d + 2/13*d**4 + 0 - 18/13*d**3 + 22/13*d**2.
2*d*(d - 1)**3*(d + 4)/13
Let o(s) = -3*s**4 + s**3 - s**2 - s + 4. Let h(i) = -4*i**4 - i**2 + 5. Let p = 27 - 25. Let t(r) = p*h(r) - 3*o(r). Factor t(c).
(c - 2)*(c - 1)**2*(c + 1)
Let z(q) be the first derivative of -2*q**6/3 - 44*q**5/5 - 27*q**4 - 100*q**3/3 - 16*q**2 - 93. Determine c so that z(c) = 0.
-8, -1, 0
Let d(p) be the first derivative of p**5/5 - p**3 + p**2 + 469. Solve d(w) = 0 for w.
-2, 0, 1
Let a be 40/(-14)*(-17199)/6318. Find h, given that 2/9 - 50/9*h**3 + a*h**2 - 22/9*h = 0.
1/5, 1
Suppose 2*l - 52 = -5*p - 13, 2*l - 84 = 4*p. Factor 10*c**2 - l*c**2 + 60*c - 18*c**2 - c**3 + 6*c**3.
5*c*(c - 6)*(c - 2)
Let b = 14494/3171 - -2/3171. Let 