et s(w) be the first derivative of 25/6*w**6 - 50/3*w**3 + 8*w**5 - 5*w**4 - 5/2*w**2 + 10*w - 4. Determine m so that s(m) = 0.
-1, 2/5, 1
Suppose 0 = -3*z - 2*q + 10, 5*z + 5*q = z + 18. Factor -b**3 + 2*b**5 + z*b**2 + 14*b**4 + 12*b**3 - 12*b - 8*b**4 - 8 - b**5.
(b - 1)*(b + 1)*(b + 2)**3
Let a(t) = -t**3 - 2*t**2 + 2*t - 1. Let m be a(-3). Let u(n) = -453 + 2*n**m - 7*n + 453. Let h(b) = b**2 - 6*b - 1. Let x(q) = -3*h(q) + 2*u(q). Factor x(v).
(v + 1)*(v + 3)
Let o = 58 - 56. Let l(r) be the third derivative of 1/3*r**4 + 7/75*r**5 + 0 + 0*r - o*r**2 + 1/100*r**6 + 8/15*r**3. Factor l(f).
2*(f + 2)**2*(3*f + 2)/5
Let j be 1/11 + 1922/1364. Find f, given that 5/2*f**2 - f + 0 - j*f**3 = 0.
0, 2/3, 1
Let s(n) = -8*n**2 + 9*n - 9. Let z(a) = -a**2 + a - 1. Suppose -15*u - 10 = -70. Let k(b) = u*s(b) - 36*z(b). Factor k(w).
4*w**2
Factor -2/7*s**3 - 22/7*s**2 - 96/7 - 80/7*s.
-2*(s + 3)*(s + 4)**2/7
Let a(r) = -8*r + 3. Let g be a(-1). Let h = -9 + g. Suppose 0*i + 2/7*i**h - 2/7*i**3 + 0 = 0. Calculate i.
0, 1
Find m such that 0*m**4 - 3*m**2 + 3/2*m**5 + 3 - 6*m**3 + 9/2*m = 0.
-1, 1, 2
Let w(p) be the first derivative of 0*p**2 - 6 + 4/21*p**3 + 0*p. Factor w(r).
4*r**2/7
Let d(c) = c**2 + 19*c + 22. Let g be d(-18). Let l be 60/(-80)*(-2)/6. Let 0 + 3/2*h**3 + 0*h + l*h**g + 9/4*h**2 = 0. Calculate h.
-3, 0
Let j(u) be the first derivative of -3*u**6/14 - 33*u**5/35 - 3*u**4/14 + 2*u**3 + 15*u**2/14 - 9*u/7 + 163. Suppose j(q) = 0. Calculate q.
-3, -1, 1/3, 1
Let n(w) = w**3 + 10*w**2 - 6*w - 11. Let z be n(-8). Let -85*v - 70*v**2 - z - 7*v**3 + 135 - 8*v**3 = 0. Calculate v.
-3, -1, -2/3
Suppose 3*h = 2*h + 5*x + 13, 3*h = 4*x + 17. Suppose v + 10 = 3*q, -q + 16 = h*q. Factor 2*g**4 - 3*g**2 + 2*g**3 + 0*g**4 - 2*g**5 + g**v.
-2*g**2*(g - 1)**2*(g + 1)
Let r = -1 - -1. Suppose -f + 10 = 2*a - r*a, -20 = -4*a - 5*f. Find j, given that -5*j + 0*j**3 + 5*j**4 + 1 + 10*j**2 - 10*j**3 + j**5 - 2*j**a = 0.
1
Let p(g) = -4*g**3 + 7*g**2 + 9*g - 12. Let x(t) = 2*t**3 + 0 - 5*t - 6*t**2 + 6 + 3*t**2 + 0*t**3. Let q(u) = -3*p(u) - 5*x(u). Factor q(l).
2*(l - 3)*(l - 1)*(l + 1)
Let s(d) be the third derivative of -d**6/270 - 6*d**5 - 4050*d**4 - 1458000*d**3 + 2*d**2 + 422. What is i in s(i) = 0?
-270
Let c = 382/13 + -2279/78. Let s(l) be the second derivative of 0 + 2/3*l**3 - l**2 + 2*l - c*l**4. Factor s(y).
-2*(y - 1)**2
Let y(f) = f**3 + f**2 - 2*f + 43. Let u be y(-4). Let p = 15/22 + -2/11. Solve -l + 0 + 1/2*l**u - p*l**2 = 0.
-1, 0, 2
Suppose -292/5*s - 2/5*s**2 + 0 = 0. Calculate s.
-146, 0
Let z(p) be the second derivative of 1/3*p**6 + 0 + p**2 - 1/5*p**5 - 4*p + 1/7*p**7 - p**4 - 1/3*p**3. Factor z(y).
2*(y - 1)*(y + 1)**3*(3*y - 1)
Let r(x) be the second derivative of -x**4/120 - 3*x**3/20 - 2*x**2/5 + 40*x - 2. Factor r(k).
-(k + 1)*(k + 8)/10
Let v be (-9)/4 + 0 - (-3 - 3). Determine l so that -v*l + 3/4*l**2 + 3 = 0.
1, 4
Let w(x) = x**2 + 75*x - 1244. Let i be w(14). Find c, given that -2*c + 1/8*c**4 + 5/8 + 9/4*c**i - c**3 = 0.
1, 5
Let p(f) be the third derivative of f**6/60 - 7*f**4/4 - 20*f**3/3 - 312*f**2. Factor p(i).
2*(i - 5)*(i + 1)*(i + 4)
Let k be (45/(-60))/(30/(-500)). Factor 45/2*a - 5 + k*a**2.
5*(a + 2)*(5*a - 1)/2
Let b(m) be the first derivative of -7*m**6/24 + m**5/4 + 11*m**4/4 - 4*m**3/3 - 8*m**2 - 4*m - 379. What is h in b(h) = 0?
-2, -1, -2/7, 2
Let l(i) = -4*i**3 + 4*i. Let b(y) = 15 - 9*y - 9*y - 2*y + 21*y. Let t be b(-11). Let z(r) = 3*r**3 - 3*r. Let o(j) = t*l(j) + 5*z(j). Factor o(v).
-v*(v - 1)*(v + 1)
Let t(l) be the first derivative of -l**7/14 - l**6/5 + 3*l**5/20 + l**4/2 + 9*l - 16. Let f(z) be the first derivative of t(z). Solve f(g) = 0 for g.
-2, -1, 0, 1
Let m(b) be the second derivative of 5*b**4/12 - 740*b**3/3 + 54760*b**2 - 404*b. Factor m(l).
5*(l - 148)**2
Suppose 20*j + 310 - 370 = 0. Let i(r) be the first derivative of 0*r**2 + 0*r - 8 - 1/6*r**j. Factor i(h).
-h**2/2
Suppose x + r = -4*r - 8, -5*x + 18 = -4*r. Factor 43*q**4 - 40*q**4 + 11*q**3 + 4*q + q**3 + 15*q**x + 2*q.
3*q*(q + 1)**2*(q + 2)
Let j = -6 + -1. Let t = 11 + j. Solve 3*m**2 - 2*m**2 + 3*m**3 - t*m**2 = 0 for m.
0, 1
Let z(y) be the second derivative of 0 + 1/3*y**4 - 1/30*y**5 + 0*y**3 - 11/2*y**2 + 7*y. Let b(u) be the first derivative of z(u). Factor b(a).
-2*a*(a - 4)
Let k(p) = 3*p + 15. Let l be k(-6). Let q be (-1 - 2)*12/l. Let 11*v**2 + 8 + 6*v + 1 - 26*v**2 - q*v**3 = 0. Calculate v.
-1, 3/4
Let h be (-11)/(66/(-32)) - 2/6. Solve 16*m - 2*m**2 + m**3 + 219 - 231 - h*m**2 = 0.
2, 3
Suppose 7*n = 4166 - 4131. Let 0*b + 0 - 1/5*b**2 - 1/5*b**3 + 1/5*b**n + 1/5*b**4 = 0. Calculate b.
-1, 0, 1
Suppose 0*j = j + 58. Let s = j + 117/2. Factor -s*f - 1/2*f**2 + 1/2 + 1/2*f**3.
(f - 1)**2*(f + 1)/2
Let k(t) = -10*t**4 + 300*t**3 - 385*t**2 - 630*t - 130. Let i(d) = d**4 + d**2 + 2*d - 1. Let w(f) = -30*i(f) - k(f). Suppose w(p) = 0. What is p?
-16, -1/2, 2
Suppose 5*q + 26*c - 23*c = 10, -2*c = 0. Let p(d) be the second derivative of -1/36*d**4 - 8/3*d**q + 0 + 4/9*d**3 - d. Factor p(h).
-(h - 4)**2/3
Let u = -2280959/540 + 4224. Let z(h) be the third derivative of 0*h - 1/90*h**5 - u*h**6 + 0 + 3*h**2 + 0*h**4 + 4/27*h**3. Determine j so that z(j) = 0.
-2, 1
Suppose -44 = -6*q - 32. Suppose -3/7*c**4 + 12/7*c**q - 6/7*c**3 + 6/7*c - 9/7 = 0. What is c?
-3, -1, 1
Let l = -3902 - -11714/3. Determine o, given that -8/9*o + l*o**4 + 46/9*o**2 + 88/9*o**3 - 2/3 = 0.
-3, -1/2, 1/3
Let p be -20 + 2*4/(-8). Let m = 26 + p. Factor u**5 - 14*u**3 + u**2 - 3*u**2 - 19*u**m + 0*u**5 - 30*u**4.
-2*u**2*(u + 1)*(3*u + 1)**2
Let l(u) be the third derivative of u**6/24 - 19*u**5/30 + 19*u**4/24 + 7*u**3/3 - 84*u**2. Factor l(d).
(d - 7)*(d - 1)*(5*d + 2)
Let u(o) be the first derivative of 20*o**3 + 0*o + 7*o**4 + 18*o**2 - 16 + 4/5*o**5. Solve u(x) = 0.
-3, -1, 0
Let i = -6 - -9. Suppose 4*y - 2*u - 14 = 0, i*y - u - 11 = -0. Suppose -6*q - q**y - 3*q**2 + 6*q**3 + 6*q**2 - 2*q**4 = 0. Calculate q.
-1, 0, 1, 2
Determine y so that 2/9*y**5 + 0 - 2/3*y**3 + 0*y - 4/9*y**2 + 0*y**4 = 0.
-1, 0, 2
Let d be 1/(-55)*2*-5. Suppose -31*q - 9 = -12*q - 9. Suppose -6/11*u + 4/11 + d*u**3 + q*u**2 = 0. Calculate u.
-2, 1
Let g(x) be the first derivative of 4*x**5/15 - 47*x**4/12 + 32*x**3/9 + 11*x**2/6 - 54. Factor g(m).
m*(m - 11)*(m - 1)*(4*m + 1)/3
Find u such that 0 + 0*u + 14/5*u**2 + 1/5*u**4 - 3*u**3 = 0.
0, 1, 14
Suppose -3*v + 5*v = -5*i + 1594, 0 = -v - 3*i + 798. Let s be (0 - 1/(-3))*432/v. Let s*k**2 - 4/11*k - 6/11 = 0. Calculate k.
-1, 3
Let i(f) be the second derivative of -f**5/100 + f**4/15 - f**3/10 - 5*f - 1. Solve i(c) = 0 for c.
0, 1, 3
Let u(b) be the second derivative of b**7/70 + 2*b**6/5 - 129*b**5/100 + 11*b**4/10 + 36*b + 1. Factor u(d).
3*d**2*(d - 1)**2*(d + 22)/5
Factor 14 - 1/2*o**2 + 3/2*o.
-(o - 7)*(o + 4)/2
Let j(d) = -d**3 - d**2. Let u be j(0). Suppose 2*v - 10 = -u*v. Find z such that z**2 + z - 15*z**4 - 4*z**v - 9*z**3 + 4*z**4 + 22*z**4 = 0.
-1/4, 0, 1
Factor 41*c**2 + 0 + 27*c**2 - 11 - 4*c**3 + 87 + 148*c.
-4*(c - 19)*(c + 1)**2
Factor -128/7*a**3 + 352/7*a**2 + 94/7*a + 6/7.
-2*(a - 3)*(8*a + 1)**2/7
Let a(t) be the second derivative of 7/30*t**3 + 0 - 1/100*t**5 + 0*t**2 - 4*t - 1/10*t**4. Factor a(d).
-d*(d - 1)*(d + 7)/5
Let z(y) be the third derivative of -1/120*y**6 + 37*y**2 + 1/24*y**4 + 1/3*y**3 + 0*y + 0 - 1/30*y**5. Factor z(s).
-(s - 1)*(s + 1)*(s + 2)
Let 268*y**2 - 5 - 263*y**2 - 5*y - 5 = 0. Calculate y.
-1, 2
Let f = 18 - 12. Determine c, given that -f*c + c**3 - 9*c**2 - 2*c**3 - 2*c**3 = 0.
-2, -1, 0
Let h be 6/5*(-7 + 52/6). Let u(i) be the second derivative of 5/36*i**3 + 1/18*i**4 + 1/120*i**5 + 7*i + 0 + 1/6*i**h. Factor u(b).
(b + 1)**2*(b + 2)/6
Let y(t) = -20*t**3 - 72*t + 18. Let l(g) = -g**3 + g**2 - g + 2. Let d(q) = 44*l(q) - 2*y(q). Factor d(w).
-4*(w - 13)*(w + 1)**2
Let n be 0*-1*7/14. Let t(r) be the third derivative of n*r + 0 - 1/270*r**6 + 1/108*r**4 + 0*r**3 + 1/270*r**5 + 3*r**2. Find d, given that t(d) = 0.
-1/2, 0, 1
Let c(u) be the third derivative of -u**5/390 + u**4/6 - 13*u**3/3 + 96*u**2. Factor c(o).
-2*(o - 13)**2/13
Let i(n) = -8*n**2 - 41*n - 1. Let q be (0 - (-3)/6)/((-2)/(-24)). Let c(d) = -8*d**2 - 40*d - 2. Let t(x) = q*i(x) - 7*c(x). Le