et b(k) = 3*m(k) - 5*n(k). Factor b(z).
5*z*(z + 1)*(8*z + 9)
Let a(w) = w. Let p(h) = -2*h**3 + 7*h**2 + 17*h + 5. Let c(q) = 3*a(q) - p(q). Let c(v) = 0. What is v?
-1, -1/2, 5
Suppose 15 = -3*o, 4*x = -3*o - 3 - 4. Let t(v) be the third derivative of 1/144*v**4 + 0*v + 0 - 1/360*v**5 - 6*v**x + 0*v**3. Factor t(s).
-s*(s - 1)/6
Let a(o) = -13*o**3 + 320*o**2 - 313*o - 6. Let h(t) = 10*t**3 - 320*t**2 + 315*t + 5. Let k(c) = -5*a(c) - 6*h(c). Solve k(n) = 0.
-65, 0, 1
Let l(n) = -n**2 + 5*n + 2. Let b be l(7). Let z(u) = u**2 - u - 1. Let r(a) = 5*a**4 + 27*a**3 + 26*a**2 + 12*a + 4. Let g(f) = b*z(f) - 3*r(f). Factor g(y).
-3*y*(y + 1)*(y + 4)*(5*y + 2)
Let i(l) be the first derivative of -l**4/10 + 8*l**3/5 - 39*l**2/5 + 56*l/5 - 624. Factor i(n).
-2*(n - 7)*(n - 4)*(n - 1)/5
Let g(k) = 3*k + 32. Let b be g(-13). Let a(q) = -3*q**2 + 18*q - 3. Let x(i) = 3*i**2 - 19*i + 2. Let u(w) = b*a(w) - 6*x(w). Factor u(o).
3*(o - 3)*(o - 1)
Let v be (-4)/3 + 2/6. Let x be (9/(-45))/(1/(2/v)). Suppose 2/5*w + 0 - 2/5*w**4 - 2/5*w**3 + x*w**2 = 0. Calculate w.
-1, 0, 1
Suppose -5*g - 5*k = -40, 2*g + 21 = 4*k + 7. Let t(l) be the second derivative of 6*l - l**g + 9/2*l**2 + 1/12*l**4 + 0. Let t(d) = 0. Calculate d.
3
Let v be (-76)/(-95)*(0 - 15/(-20)). Factor 96/5 - 18/5*l**2 + 0*l - v*l**3.
-3*(l - 2)*(l + 4)**2/5
Suppose -3*q + 10 = -2*o, -3*q - o = -1 - 3. Factor -q*x**2 - 2 + 11*x - 7 - x + 1.
-2*(x - 4)*(x - 1)
Let z(v) = -v + 1. Let m be z(28). Let u be 4/18 + (-4)/m*3. Determine y, given that u*y**2 - 2/3 + 0*y = 0.
-1, 1
Let q(s) be the first derivative of -25*s**4/28 - 20*s**3/7 - 3*s**2/2 - 2*s/7 + 51. Find f, given that q(f) = 0.
-2, -1/5
Let x(p) be the second derivative of 2*p**6/195 - 9*p**5/130 + p**4/26 + 4*p**3/39 - 2*p + 13. Determine i, given that x(i) = 0.
-1/2, 0, 1, 4
Let p = -249 + 251. Let v(h) be the first derivative of 3 + 0*h + 1/4*h**p + 1/12*h**3. Solve v(d) = 0.
-2, 0
Let u(g) = -11*g**2 - 10*g - 8. Let d(s) = 7*s**2 + 7*s + 6. Let m(l) = 8*d(l) + 5*u(l). Factor m(k).
(k + 2)*(k + 4)
What is k in -578/3 - 70/3*k**2 + 646/3*k + 2/3*k**3 = 0?
1, 17
Let h(b) be the second derivative of -1/168*b**7 + 1/60*b**6 - 1/24*b**3 + 9*b + 1/4*b**2 + 0 + 1/40*b**5 - 1/12*b**4. What is c in h(c) = 0?
-1, 1, 2
Factor 57119*f**2 - 2*f**5 - 57119*f**2 - 32*f + 16*f**3.
-2*f*(f - 2)**2*(f + 2)**2
Factor 60/7*g**3 - 48/7*g**2 - 16/7*g**4 + 0 - 16/7*g.
-4*g*(g - 2)**2*(4*g + 1)/7
Let a(j) be the first derivative of j**6/60 - j**4/4 - 2*j**3/3 + 3*j**2 + 10. Let n(z) be the second derivative of a(z). Solve n(t) = 0 for t.
-1, 2
Suppose 6*p + 57 - 81 = 0. Factor 2*l**5 - 79*l**2 + 10*l**p + 61*l**2 + 4*l**3 - 10*l**3 - 4*l**5.
-2*l**2*(l - 3)**2*(l + 1)
Let m(t) be the first derivative of 2*t**3/57 - 6*t**2/19 - 80*t/19 + 436. Find v such that m(v) = 0.
-4, 10
Factor -7*a**3 - 12*a**2 + 31 + 5*a**3 - 40*a**2 - 46*a + 0 + 69.
-2*(a - 1)*(a + 2)*(a + 25)
Factor -1/3*k**2 - 62/3*k - 961/3.
-(k + 31)**2/3
Let p = -75 - -97. Suppose 2 - p = -5*s. Factor 0*j + 0*j**3 - 1/4*j**s - 1/4*j**5 + 0 + 0*j**2.
-j**4*(j + 1)/4
Suppose 0 = -m - 8. Let r = m - -8. Determine o, given that -o**4 + 3*o**2 + r*o**4 - o**2 - o**4 = 0.
-1, 0, 1
Let u(l) be the second derivative of l**7/21 + 79*l**6/135 - 13*l**5/10 - 59*l**4/54 + 4*l**3 - 20*l**2/9 - 134*l. What is y in u(y) = 0?
-10, -1, 2/9, 1
Let g(v) = -20*v**2 - 592*v - 38642. Let z(f) = -9*f**2 - 294*f - 19321. Let k(q) = 4*g(q) - 9*z(q). Factor k(a).
(a + 139)**2
Suppose -4 = 2*p - 8. Factor -93 - 4*r**4 - 76*r - 120*r**p + 13 - 40*r**3 - 84*r - r**4.
-5*(r + 2)**4
Let c(g) = -g + 5. Let q be c(5). Suppose -12 = 348*n - 352*n. Let 0*w**2 - w**n + q + 1/3*w**4 + 0*w = 0. What is w?
0, 3
Let u(x) = -x**3 + 2*x**2 + 19*x - 28. Let z(c) = c**3 - 2*c**2 - 18*c + 30. Let f(h) = 3*u(h) + 4*z(h). Factor f(w).
(w - 3)**2*(w + 4)
Let c be 4 - -9 - 4 - (-3)/((-6)/14). Factor -9/2*g + c - 1/2*g**3 + 3*g**2.
-(g - 4)*(g - 1)**2/2
Let c(y) = y**2 + 202*y + 3. Let h(p) = 2*p**2 + 608*p + 10. Let v(m) = -10*c(m) + 3*h(m). Let v(q) = 0. Calculate q.
-49, 0
Let a(m) = 48*m. Let f(t) = -7*t. Let k(d) = -4*a(d) - 27*f(d). Let p be k(-1). Factor q**2 - 13*q**p + 10*q**3 - 4*q**2.
-3*q**2*(q + 1)
Let v(i) = -4*i**3 + 5*i**2 + i. Let s(z) = z**3 - z**2 - z. Let a(c) = -5*s(c) - v(c). Factor a(k).
-k*(k - 2)*(k + 2)
Suppose 50*m = 30 + 70. Let b(l) be the third derivative of 0 + m*l**2 + 0*l - 8/9*l**3 - 1/9*l**4 - 1/180*l**5. Determine z so that b(z) = 0.
-4
Let n be (64/3)/(7/42). Let j = -1406/11 + n. Factor -2/11 + 2/11*w**2 + 2/11*w**3 - j*w.
2*(w - 1)*(w + 1)**2/11
Let n(m) be the first derivative of 5*m**5 + 135*m**4/4 - 275*m**3/3 + 45*m**2/2 + 70*m - 70. Factor n(p).
5*(p - 1)**2*(p + 7)*(5*p + 2)
Let h(d) = d + d**2 - d**5 - 2*d - 4*d**3 + 5*d**3. Let q(v) = 38*v**2 + 30*v**3 - v**5 + 10*v + 8*v**4 - v**5 - 3*v**5. Let j(m) = 6*h(m) - q(m). Factor j(c).
-c*(c + 2)**4
Let v(i) be the second derivative of i**4/12 + 32*i**3/3 + 25*i - 10. Factor v(y).
y*(y + 64)
Let s(t) = 9*t**4 + 16*t**3 + 35*t**2 + 36*t - 7. Let x(r) = -4*r**4 - 8*r**3 - 18*r**2 - 18*r + 3. Let j(l) = 3*s(l) + 7*x(l). Let j(p) = 0. What is p?
-3, -2, 0
Let g = -2083/10 - -1054/5. Factor 15/4*r + g + 5/4*r**2.
5*(r + 1)*(r + 2)/4
Let l(x) be the second derivative of -9*x - 1/20*x**4 + 0 + 1/5*x**3 + 9/10*x**2. Factor l(y).
-3*(y - 3)*(y + 1)/5
Factor -2*y + 0 - 2/7*y**2.
-2*y*(y + 7)/7
Let n = 4159/5205 - -1/1041. What is i in -n + 4/5*i**2 + 2/5*i**3 - 2/5*i = 0?
-2, -1, 1
Let p(u) = -2*u**3 + 28*u**2 - u + 18. Let m be p(14). Let k(s) be the first derivative of 2 + 3/4*s**m + 6*s**2 + 4*s**3 + 0*s. Factor k(c).
3*c*(c + 2)**2
Suppose -2*v + 7 + 1 = 0. Suppose -v*r = 4*r. Factor 1/6*z**2 + 1/6*z + r.
z*(z + 1)/6
Suppose 21*l**2 + 48*l**2 - l + 15*l - 71*l**2 = 0. What is l?
0, 7
Let s = 60441/10 - 6044. Find u, given that 0 + 0*u - s*u**3 - 3/10*u**2 = 0.
-3, 0
Let t be 6/(-10) + (-156)/15. Let u = t + 13. Factor 4*o + 10*o**5 - 4*o**3 - 8*o**5 - u*o.
2*o*(o - 1)**2*(o + 1)**2
Let g(a) = 26*a - 595. Let j be g(23). Solve 0 + 5/3*x**j - 1/3*x**4 + 4/3*x - 8/3*x**2 = 0.
0, 1, 2
Let n(b) be the third derivative of b**8/131040 + b**7/32760 + 4*b**5/15 + 15*b**2. Let a(m) be the third derivative of n(m). Find u, given that a(u) = 0.
-1, 0
Let u(k) be the second derivative of k**4/27 - 17*k**3/27 - k**2 + k - 2. Suppose u(b) = 0. What is b?
-1/2, 9
Let -8 - 1/2*u**2 - 4*u = 0. What is u?
-4
Find f, given that -1839*f**4 + 0*f**3 - 1835*f**4 + 3671*f**4 - f**5 - 2*f**3 = 0.
-2, -1, 0
Factor -2/5*r**2 - 4/5*r + 0.
-2*r*(r + 2)/5
Let s(p) be the second derivative of 0 - 1/36*p**4 - 5*p + 0*p**3 + 1/90*p**6 + 0*p**2 + 0*p**5. Factor s(c).
c**2*(c - 1)*(c + 1)/3
Suppose 936*l = 920*l. Factor -1/6*u**2 + l*u + 0 + 1/6*u**3.
u**2*(u - 1)/6
Factor 771 - 3*c + c**2 + 779 - 1554.
(c - 4)*(c + 1)
Let t(b) = b**4 - 1. Let i(c) = -4*c**4 + 2*c**2 + 2. Let h(w) = i(w) + 2*t(w). Let h(j) = 0. What is j?
-1, 0, 1
Let b(g) be the second derivative of g**7/6300 + g**6/900 + g**5/300 - 13*g**4/6 + 2*g. Let r(a) be the third derivative of b(a). Factor r(u).
2*(u + 1)**2/5
Suppose 4*a - 84 = -0*a. Let c be 17/51 - 1/a. Factor 12/7*b - 18/7 - c*b**2.
-2*(b - 3)**2/7
Let o(d) be the third derivative of d**6/120 - d**5/20 + d**4/8 - 7*d**3 + 21*d**2. Let a(w) be the first derivative of o(w). Find c such that a(c) = 0.
1
Let z(l) be the first derivative of l**4/4 - 4*l**3/3 + 3*l**2 - 2*l - 3. Let a be z(2). Factor -3*b**2 + a*b**2 - b**2 - b**3 - 3*b**4 + 4*b**4.
b**2*(b - 2)*(b + 1)
Let y be -34 + 34 - (-4 + 0). Suppose s = c + y*s + 10, -2*c + 24 = -5*s. Determine v, given that c*v**5 + 0 + 8/7*v**2 + 0*v + 16/7*v**3 - 38/7*v**4 = 0.
-2/7, 0, 1, 2
Let h(t) be the second derivative of -1/6*t**4 - 2/3*t**3 - 4/3*t**2 + 0 + 16*t - 1/60*t**5. Find u, given that h(u) = 0.
-2
Let m(u) be the third derivative of u**6/24 - 3*u**5 - 185*u**4/24 - 3*u**2 + 29. Factor m(f).
5*f*(f - 37)*(f + 1)
Let d(j) = j**3 - 78*j**2 + 1371*j + 2. Let i(y) = -3*y**3 + 236*y**2 - 4114*y - 7. Let a(k) = 7*d(k) + 2*i(k). Factor a(g).
g*(g - 37)**2
Suppose -10*f + 30 = -5*f. Let k(r) = 12*r**3 - 13*r**2 + 25*r - 17. Let o(d) = -11*d**3 + 14*d**2 - 25*d + 16. Let y(x) = f*k(x) + 7*o(x). Factor y(j).
-5*(j - 