 + m - 13. Let v(l) be the first derivative of 1 + 0*l**2 + 0*l**t + 1/18*l**6 + 0*l + 0*l**5 - 1/12*l**4. Factor v(h).
h**3*(h - 1)*(h + 1)/3
Let c(k) be the third derivative of -k**7/70 + k**6 - 437*k**5/20 + 361*k**4/4 - 7*k**2 - 6*k. Let c(q) = 0. Calculate q.
0, 2, 19
Suppose -4*k - 40 + 14 = 3*f, 2*f - 11 = 3*k. Let o(v) = 16 + 7 + 22*v + 2*v**2 + 21 - 12. Let a(y) = y**2 + 9*y + 13. Let h(x) = k*o(x) + 12*a(x). Factor h(l).
2*(l - 2)*(l + 1)
Let d(o) be the third derivative of 0 - 1/225*o**5 + 0*o**3 - 1/180*o**4 + 0*o + 6*o**2 - 1/900*o**6. Factor d(h).
-2*h*(h + 1)**2/15
Let q(z) = z**2 + 59*z + 866. Let v be q(-32). Let l(h) be the first derivative of 8/3*h**3 - 2*h**v + 9 - h**4 + 0*h. Factor l(c).
-4*c*(c - 1)**2
Let x be (36/462)/(21/154). Factor -48/7*i**2 + 52/7*i**3 + 6/7*i**5 - x - 4*i**4 + 22/7*i.
2*(i - 1)**4*(3*i - 2)/7
Determine s so that 453/4*s**2 + 405/4*s + 135/4*s**3 + 3*s**4 + 75/4 = 0.
-5, -1, -1/4
Find b, given that -270*b**3 + 774*b**3 + 147*b**4 + 98*b**2 + 48*b - 422*b**2 = 0.
-4, 0, 2/7
Suppose 0 = 413*z - 202*z - 195*z - 48. Factor -5*n**2 - 5*n**z + 55/3*n - 10 + 5/3*n**4.
5*(n - 3)*(n - 1)**2*(n + 2)/3
Let b(i) = -i**4 + 6*i**3 - 11*i**2 - 3*i + 3. Let f(j) = -j**4 + 6*j**3 - 10*j**2 - 4*j + 5. Let g(r) = -4*b(r) + 6*f(r). Factor g(p).
-2*(p - 3)**2*(p - 1)*(p + 1)
Let f(x) be the third derivative of x**6/180 - 11*x**5/30 - x**4 + 68*x**3/9 - 49*x**2. Factor f(d).
2*(d - 34)*(d - 1)*(d + 2)/3
Let b(c) be the second derivative of c**5/120 - c**4/16 - 5*c**2 + 10*c. Let t(r) be the first derivative of b(r). Let t(p) = 0. What is p?
0, 3
Let b be (1 - 2)*108/(-45). Factor -b*o + 0 + 2*o**3 - 26/5*o**2.
2*o*(o - 3)*(5*o + 2)/5
Suppose j - 5*r + r = -19, j + 4*r = 21. Let x be ((24/9)/4)/j. Factor -k + x + 0*k**2 + 1/3*k**3.
(k - 1)**2*(k + 2)/3
Let d be 5*(-6)/(-20)*-4. Let w be 5/12 + (2/(-1))/d. Solve -w*l + 1/2 + 3/4*l**3 - 1/2*l**2 = 0 for l.
-1, 2/3, 1
Let i(v) be the first derivative of v**6/2 - 12*v**5/25 - 12*v**4/5 + 22*v**3/5 - 3*v**2/2 - 6*v/5 + 170. Solve i(a) = 0.
-2, -1/5, 1
Suppose 5*d - 4*v = -20 + 73, 5*d - 39 = -3*v. Factor 2*f**2 + 4*f - d*f**2 + 6 + f**2 + 4*f**2.
-2*(f - 3)*(f + 1)
Let k = 15 - 13. Determine o so that 14 - 16*o + 133*o**k - 68*o**2 - 63*o**2 = 0.
1, 7
Let l(n) = 3*n**2 + 205*n - 212. Let x(z) = -3*z**2 - 204*z + 213. Let r(d) = 3*l(d) + 2*x(d). Determine a, given that r(a) = 0.
-70, 1
Suppose 32 - 32 = c. Let f(r) be the third derivative of 0*r**4 + 0*r**3 + c - 5*r**2 + 1/20*r**5 + 0*r. Factor f(z).
3*z**2
Factor 0*a**2 + 2/5*a**5 + 0*a - 6*a**4 - 32/5*a**3 + 0.
2*a**3*(a - 16)*(a + 1)/5
Let q(f) be the third derivative of 1/24*f**6 + 0*f**3 - 1/4*f**5 + 0 + 4*f**2 + 0*f**4 + 0*f. What is d in q(d) = 0?
0, 3
Let d(u) be the second derivative of -u**4/12 - 5*u**3/3 + 7*u**2 + 5*u. Let l be d(-11). Solve -6*c - l*c**3 + 9*c + 0*c = 0.
-1, 0, 1
Let s = 3403/2 + -1701. Suppose -1/4*q**2 - s + 3/4*q = 0. Calculate q.
1, 2
Factor 144/5 - 4*w**2 - 48/5*w + 4/5*w**3.
4*(w - 6)*(w - 2)*(w + 3)/5
Let n be 142935/32252 - (-34)/(-8). Find h such that -14/11 - 16/11*h - n*h**2 = 0.
-7, -1
Let 3/4*d**5 - 9/2*d + 12 + 27/4*d**4 + 15/4*d**3 - 75/4*d**2 = 0. What is d?
-8, -2, -1, 1
Let y be (-5*48/(-150))/(1/30). Let m be (-23)/(-15) + (-64)/y. Suppose 2/5*n - m*n**2 - 1/5 = 0. Calculate n.
1
Suppose -4*z + 3 = 7. Let w be (1 + 0)/(z/(-11)). Let 0*p - 9*p**2 + p + w*p**2 - 2 + 2*p - 3*p**3 = 0. What is p?
-1, 2/3, 1
Let j be ((-44)/12 - -3)*-3. Factor -8 - 3*x**2 + x + 4*x + 3*x + x**j.
-2*(x - 2)**2
Let f(v) be the first derivative of -v**6/270 + v**5/9 - 25*v**4/18 - 20*v**3/3 - 11. Let y(c) be the third derivative of f(c). Determine l so that y(l) = 0.
5
Suppose 6*v - 3*v = 210. Let l = v - 139/2. Factor 1/4*a - 1/4*a**3 - l*a**2 + 1/2.
-(a - 1)*(a + 1)*(a + 2)/4
Let j be 5*(-370)/(-250) + 7. Factor j*g + 4/5 + 324/5*g**2.
4*(9*g + 1)**2/5
Let a be (((-42)/(-9))/(-7))/(4/(-30)). Let i**5 - i**4 - 5*i**5 + 0*i**5 + a*i**4 = 0. What is i?
0, 1
Let i be (156/260)/(8/10). Let l be 1620/528 - (-2)/11. What is g in l*g**3 - 2 + i*g**4 - g + 7/2*g**2 = 0?
-2, -1, 2/3
Suppose -l + 3*f = -9 - 2, f = -4. Let i(z) = 3*z**2 - 6*z. Let b(d) = -d**2 - 105 + 105. Let x(v) = l*i(v) - b(v). Factor x(t).
-2*t*(t - 3)
Let i(m) be the second derivative of -m**5/10 - 2*m**4 - 7*m**3 + 98*m**2 + 152*m. Factor i(l).
-2*(l - 2)*(l + 7)**2
Solve -43*y**2 - 12 + y**3 + 3*y**3 - 3*y**3 + 2*y**3 + 52*y**2 = 0 for y.
-2, 1
Factor 11/4*c**2 - 11 - 1/4*c**3 + c.
-(c - 11)*(c - 2)*(c + 2)/4
Let a(n) = 1 - 2 - 7 + 1 - n. Let d be a(-11). Factor -16*j - d*j**3 - 9*j + 29*j.
-4*j*(j - 1)*(j + 1)
Let l(a) = -a + 17. Let c(i) = -i - 15. Let m be c(-6). Let v be l(m). Let -3*t**4 + 5*t - 3*t - 2*t**3 + t**4 - v*t**2 + 28*t**2 = 0. Calculate t.
-1, 0, 1
Factor 0 - 3/2*f + 1/8*f**5 + 1/4*f**4 - 19/8*f**3 + 7/2*f**2.
f*(f - 2)*(f - 1)**2*(f + 6)/8
Suppose 3*c + z - 10 = 0, c = -0*z - 4*z + 7. Solve -16*d - 4*d**5 + 10*d**4 - 16*d**2 + 6*d**3 + 0*d**c + 8*d = 0 for d.
-1, -1/2, 0, 2
Let c(r) = -8*r**2 + 4*r - 12. Let s be c(8). Let i = -316 - s. Factor 82 + 18*y**4 + 15*y**3 + 81*y**3 + i*y**2 + 128*y - 50.
2*(y + 2)**2*(3*y + 2)**2
Let g(n) be the third derivative of 7*n**6/300 - 11*n**5/15 + 104*n**4/15 + 128*n**3/15 - 863*n**2. Let g(d) = 0. What is d?
-2/7, 8
Let u be (-2 + 6/4)*-4. Determine t, given that 6*t**u + 3 - 3*t**3 - 3 = 0.
0, 2
Let t be 2/(-9) + (-1334)/(-414). Let h(c) be the first derivative of -1/5*c**2 - 6 - 1/15*c**t + 3/5*c. Factor h(x).
-(x - 1)*(x + 3)/5
Let t(d) be the third derivative of 5*d**8/336 - d**7/2 + 143*d**6/24 - 259*d**5/12 - 245*d**4/2 + 3430*d**3/3 + 277*d**2. Factor t(s).
5*(s - 7)**3*(s - 2)*(s + 2)
Let x = -135 - -135. Let v(y) be the second derivative of 0*y**3 - 1/72*y**4 - y + 0*y**2 + 1/120*y**5 + x. Suppose v(t) = 0. What is t?
0, 1
Let k(z) = -z**2 + z. Let c(m) = 4*m**2 + 55*m - 900. Let j(r) = -c(r) - 5*k(r). Factor j(y).
(y - 30)**2
Suppose 21*n - 18*n = -6. Let p(w) = -w**2 + w. Let q(l) = 3*l**3 - 13*l**2 + 12*l - 2. Let m(i) = n*q(i) + 6*p(i). Find b such that m(b) = 0.
1/3, 1, 2
Let z(y) be the second derivative of y**7/168 - y**6/120 - 7*y**5/40 - 13*y**4/24 - 19*y**3/24 - 5*y**2/8 - 2*y + 244. Factor z(h).
(h - 5)*(h + 1)**4/4
Let v(o) = 17*o - 167. Let i be v(10). Let r(y) be the second derivative of 0*y**4 + 0 + i*y - 3/20*y**5 + 3*y**2 + 3/2*y**3. Find u, given that r(u) = 0.
-1, 2
Let t(z) be the first derivative of -z**4/2 - 6*z**3 + z**2 + 18*z - 14. Factor t(v).
-2*(v - 1)*(v + 1)*(v + 9)
Let m(l) be the third derivative of -l**8/33600 + l**7/525 - 4*l**6/75 - l**5/15 + 5*l**2. Let g(c) be the third derivative of m(c). Factor g(b).
-3*(b - 8)**2/5
What is l in 2/3*l**3 + 0*l + 8/3*l**2 + 0 = 0?
-4, 0
Let r(h) = -8*h + 1 + 3*h**3 - 12*h**3 - 16*h**2 + 2*h**4 + 3 - 5*h**3. Let l(j) = -j**4 + j**3 - 1. Let v(b) = 4*l(b) + r(b). Find z such that v(z) = 0.
-2, -1, 0
Suppose 4*n = -5*z - 20, 3*n = z - 1 + 5. Let c be (-3)/(4 + (-92)/20). Factor 0*s**2 + 0*s - 8/9*s**4 + 2/9*s**c + n + 8/9*s**3.
2*s**3*(s - 2)**2/9
Let g(n) be the second derivative of -n**5/4 + 5*n**4/3 - 25*n**3/6 + 5*n**2 + 14*n + 1. Factor g(h).
-5*(h - 2)*(h - 1)**2
Let d(r) be the first derivative of -5/4*r**4 + r**5 + 0*r + 5/2*r**2 - 5/3*r**3 + 10. Factor d(f).
5*f*(f - 1)**2*(f + 1)
Let m(v) = 7*v**4 + 4*v**3 - 28*v**2 - 7*v + 21. Let p(t) = -20*t**4 - 12*t**3 + 84*t**2 + 20*t - 64. Let u(c) = -8*m(c) - 3*p(c). Suppose u(z) = 0. What is z?
-3, -1, 1, 2
Factor -2*p + 7*p + 0*p + 16*p + 0*p + 3*p**2.
3*p*(p + 7)
Let b(x) be the second derivative of -4*x**5/195 + x**4/52 - 5*x**2 - 18*x. Let i(n) be the first derivative of b(n). Solve i(a) = 0.
0, 3/8
Let k(q) be the first derivative of 0*q**2 + 0*q**3 + 25 + 0*q**5 + 0*q - 3/20*q**4 + 1/10*q**6. Factor k(x).
3*x**3*(x - 1)*(x + 1)/5
Suppose -29 = -3*d - p, -12*d + 5*p + 75 = -7*d. Suppose 44 = d*i + 11*i. Let -14/3*l**3 - 4/9 + 2*l - 2/9*l**i - 2*l**4 = 0. What is l?
-2, -1, 1/3
Suppose 18*f - 42*f + 15*f**3 - 18*f**3 - 7*f**2 - 12*f**2 + f**2 = 0. Calculate f.
-4, -2, 0
Let r(d) be the first derivative of d**5/540 - d**4/108 - 5*d**2 + 30. Let c(x) be the second derivative of r(x). Factor c(z).
z*(z - 2)/9
Find i such that 26*i - 20*i**2 + 74*