-5*p*(p - 1)
Let s(q) be the third derivative of 0*q + 3*q**2 + 7/48*q**4 + 1/48*q**6 + 0 - 1/420*q**7 - 1/6*q**3 - 3/40*q**5. Factor s(w).
-(w - 2)*(w - 1)**3/2
Let o be (-332)/(-266) - 6/57. Factor 2/7*q**3 + 0 + o*q - 8/7*q**2.
2*q*(q - 2)**2/7
Let o(g) = -g**3 - g**2 + 2*g + 3. Let u be o(-2). Suppose u = 3*s - 6. Determine p, given that 4*p**4 + 4*p**3 - 4*p**s + 4*p**3 - 2*p**4 = 0.
-2, 0
Suppose 2*h + 4 - 6 = -w, 3*h + 8 = 4*w. Factor -4/5*k**2 - 2/5*k**3 - 2/5*k + h.
-2*k*(k + 1)**2/5
Let i = 54 - 54. Let t(y) be the third derivative of 2/525*y**7 + 0*y**5 + 0 + 1/300*y**6 + 0*y + 1/840*y**8 + i*y**3 + 0*y**4 + y**2. Solve t(k) = 0.
-1, 0
Let f(m) be the first derivative of 0*m + 2/15*m**5 - 2/9*m**4 - 3 + 2/27*m**3 + 0*m**2. Factor f(d).
2*d**2*(d - 1)*(3*d - 1)/9
Factor -1/6*s**3 - 2/3*s - 2/3*s**2 + 0.
-s*(s + 2)**2/6
Suppose 6*x = -3*x. Solve -1/5*k**3 + 0*k**2 + x*k + 0 = 0 for k.
0
Let m(d) be the second derivative of -d**6/1620 - 2*d**5/135 - 4*d**4/27 + d**3/2 - 8*d. Let i(c) be the second derivative of m(c). Factor i(p).
-2*(p + 4)**2/9
Let u be (-5)/20 - (-85)/(-12). Let o = u + 8. Factor 0*f - 2/3*f**2 + o.
-2*(f - 1)*(f + 1)/3
Suppose 4*w + 2*j + 3*j - 73 = 0, 0 = -5*w - 2*j + 70. Let i be ((-28)/w - -2)*-2. Factor 1/3*h**2 + 0 + i*h.
h*(h + 2)/3
Let i(v) be the second derivative of -v**6/300 + v**5/75 - v**4/60 - v**2 - 2*v. Let k(r) be the first derivative of i(r). Factor k(d).
-2*d*(d - 1)**2/5
Let y = -2/2913 - -15861/1942. Let f(p) be the first derivative of 2*p + y*p**3 + 2 + 7*p**2. Factor f(m).
(7*m + 2)**2/2
Let q(l) be the third derivative of -l**7/700 + l**6/1200 + 3*l**5/200 - 3*l**4/80 + l**3/30 - 15*l**2 + l. Let q(h) = 0. Calculate h.
-2, 1/3, 1
Let k(z) = -8*z + 2*z + 10*z + 10*z - 3. Let l be k(2). Factor 8*o - 1 - l*o**2 - 3 + 12*o.
-(5*o - 2)**2
Let r(a) be the third derivative of a**7/105 + a**6/12 + a**5/5 - a**4/3 - 8*a**3/3 + 3*a**2. Find m, given that r(m) = 0.
-2, 1
Let v(n) be the second derivative of -1/25*n**5 + 1/15*n**3 + 1/5*n**2 + 1/105*n**7 + 5*n + 0 - 1/15*n**4 + 1/75*n**6. Factor v(b).
2*(b - 1)**2*(b + 1)**3/5
Let n(m) be the second derivative of -1/10*m**5 + 2*m + 0 + 1/3*m**4 - 3*m**2 - 4/3*m**3. Let g(k) = -k - 1. Let y(p) = -6*g(p) + n(p). Factor y(u).
-2*u*(u - 1)**2
Let u(q) be the second derivative of -2*q + 55/12*q**4 - 28/3*q**3 + 5/4*q**5 + 0 + 6*q**2. Factor u(x).
(x + 3)*(5*x - 2)**2
Let z be 2/(-9) + 138/135. Let j be 48/10 - (-8 - -10). Factor -z - 18/5*g - j*g**2.
-2*(g + 1)*(7*g + 2)/5
Let l(j) = j**2 - 4*j - 5. Let t(y) = y + 1. Let a(c) = 2*l(c) + 10*t(c). Factor a(h).
2*h*(h + 1)
Let h(v) be the second derivative of v**4/60 - v**3/5 + 9*v**2/10 + 6*v. Solve h(t) = 0.
3
Let x(l) be the second derivative of 0*l**2 - l + 0 - 1/42*l**4 + 1/21*l**3. Factor x(i).
-2*i*(i - 1)/7
Suppose 3*t - t = -6. Let a(z) = 11*z**4 + 25*z**3 + 7*z**2 - z. Let h(c) = -10*c**4 - 24*c**3 - 8*c**2 + 2*c. Let w(q) = t*h(q) - 2*a(q). Factor w(x).
2*x*(x + 1)*(x + 2)*(4*x - 1)
Let y(z) be the third derivative of z**9/120960 - z**8/40320 - z**7/5040 - z**5/60 - z**2. Let k(u) be the third derivative of y(u). Factor k(t).
t*(t - 2)*(t + 1)/2
Let c be 237/15 + (-2)/(-10). Factor 24*k - 6*k**2 + 2*k**3 + 0*k**3 + 9*k**2 + 9*k**2 + c.
2*(k + 2)**3
Let o = -4 + 11. Factor -3*x**3 + o - 3*x**2 - 7.
-3*x**2*(x + 1)
Let d = 0 - -6. Suppose -4 - d = -5*l. Factor l*s - 2*s**2 + 2 - 2*s**3 + 0*s**2 + 0.
-2*(s - 1)*(s + 1)**2
Let m(f) = 13 + 3*f + f**2 + 8*f + 0*f**2. Let p be m(-10). Factor -3 + l**3 + 6*l**2 - 4*l**4 + 2*l**p - l**2 - 3*l + 2.
-(l - 1)**2*(l + 1)*(4*l + 1)
Let x be 1/(-3) - (-3990)/(-72). Let w = x + 56. Factor 0*r + 1/4*r**3 + 0 - w*r**2.
r**2*(r - 1)/4
Let w(i) be the second derivative of 2*i**4/3 + 2*i**3/3 + 11*i**2/2 - 3*i. Let f(j) = 7*j**2 + 4*j + 10. Let g(n) = -7*f(n) + 6*w(n). Factor g(t).
-(t + 2)**2
Let s(m) = -2*m**4 + 10*m**3 + 20*m**2 + 8*m + 8. Let i(j) = -j**4 + 7*j**3 + 13*j**2 + 5*j + 5. Let d(r) = -8*i(r) + 5*s(r). Factor d(h).
-2*h**2*(h + 1)*(h + 2)
Determine n, given that n**3 - 4*n**3 + 5*n**5 - 2*n**2 + 7*n**2 - 2*n**3 - 5*n**4 = 0.
-1, 0, 1
Let a = 32 - 32. What is n in a + 9/4*n**3 + 15/4*n**2 + 3/2*n = 0?
-1, -2/3, 0
Let u(m) = 2*m**2 - 6*m - 1. Let o be u(5). Determine x so that 6*x - x + o*x**2 - x - x**2 = 0.
-2/9, 0
Let z(k) be the third derivative of k**5/270 - k**4/108 - 2*k**3/27 - 7*k**2. Factor z(g).
2*(g - 2)*(g + 1)/9
Let h(j) be the first derivative of -3*j**5/40 + 3*j**4/16 + j**3/8 - 3*j**2/8 + 14. Determine n so that h(n) = 0.
-1, 0, 1, 2
Let w = 377 + -11309/30. Let k(n) be the third derivative of 1/35*n**7 + 3*n**2 + 0 + 1/6*n**4 - w*n**6 + 0*n + 0*n**3 - 1/10*n**5. Suppose k(f) = 0. What is f?
-1, 0, 2/3, 1
Let n(y) be the third derivative of -y**7/4200 + y**5/200 - y**4/60 + y**3/6 + 10*y**2. Let c(b) be the first derivative of n(b). Factor c(w).
-(w - 1)**2*(w + 2)/5
Let r = 363/5 - 72. Factor -1/5*y**3 - r*y**2 - 2/5*y + 0.
-y*(y + 1)*(y + 2)/5
Factor 2/11 + 1/11*k**2 + 3/11*k.
(k + 1)*(k + 2)/11
Suppose r**2 - 5*r**2 + r**2 + 1 + 2*r**2 = 0. What is r?
-1, 1
Suppose -4*v = 7*l - 12*l - 6, 2*v = 4*l. What is n in -1/6*n + 0 - 1/6*n**l = 0?
-1, 0
Let a(x) be the third derivative of 1/100*x**6 + 0*x**5 + 0*x - 1/10*x**3 - 1/20*x**4 + 0 - 3*x**2 + 1/350*x**7. Suppose a(y) = 0. Calculate y.
-1, 1
Let o(i) be the first derivative of 2*i**6/9 + 16*i**5/15 - 64*i**3/9 - 32*i**2/3 - 4. Factor o(s).
4*s*(s - 2)*(s + 2)**3/3
Let v(u) be the second derivative of 1058*u**6/45 - 1334*u**5/45 + 196*u**4/27 - 16*u**3/27 + 25*u. Solve v(o) = 0.
0, 2/23, 2/3
Let u = 126 - 622/5. Factor 98/5*a**4 - 252/5*a**3 - 72/5*a + 218/5*a**2 + u.
2*(a - 1)**2*(7*a - 2)**2/5
Let f(w) be the third derivative of w**5/150 - w**4/60 - 5*w**2. Find n such that f(n) = 0.
0, 1
Let d = -120 + 120. Factor 2/5*i**2 + d*i**3 + 0 - 2/5*i**4 + 0*i.
-2*i**2*(i - 1)*(i + 1)/5
Solve -8*d**2 + 13 - 31 - 52*d - 13 + 4*d**3 - 9 = 0.
-2, -1, 5
Let t(f) = -2*f**2 + f + 4. Suppose 5 = 5*n - 5. Let l(i) = 3*i**2 - i**2 - 3 - i**n. Let b(o) = -3*l(o) - 2*t(o). Let b(y) = 0. Calculate y.
1
Let a = -1/38 + 29/380. Let f(z) be the second derivative of a*z**5 + 0 + 1/2*z**2 + 2*z - 1/6*z**3 - 1/12*z**4. Find c, given that f(c) = 0.
-1, 1
Let d(b) = 10*b**5 + 27*b**4 + 19*b**3 - 2*b**2 - 3*b - 1. Let j(m) = m**4 + m**3 + m - 1. Let t(h) = d(h) - j(h). Find n such that t(n) = 0.
-1, 0, 2/5
Let c(p) be the second derivative of -3*p + 0*p**2 + 0 + 1/3*p**3 + 1/20*p**5 + 1/4*p**4. Factor c(t).
t*(t + 1)*(t + 2)
Let g(h) be the third derivative of h**8/336 + h**7/105 + h**6/120 - 49*h**2. Factor g(n).
n**3*(n + 1)**2
Let l be (5/10*0)/(-2). Solve -1/3*d**2 + l + 0*d = 0 for d.
0
Let t(h) = -h**3 + h**2 - h - 1. Let p(z) be the third derivative of z**6/120 - z**5/12 + z**3/3 - z**2. Let m(w) = -p(w) - 2*t(w). Factor m(x).
x*(x + 1)*(x + 2)
Let u(m) = m**2. Let v(j) be the first derivative of 11*j**3/3 + 7*j**2 - 4*j + 2. Let s(w) = 3*u(w) - v(w). Let s(n) = 0. What is n?
-2, 1/4
Suppose -4*x + 16 = 0, 4*w - 14 = -5*x + 2. Let k = 1 - w. Solve -3*r**2 - 5*r + k*r**2 + 4*r = 0 for r.
-1, 0
Let t(j) be the third derivative of j**8/1512 + j**7/189 + 2*j**6/135 + 2*j**5/135 - j**2 + 12*j. Factor t(q).
2*q**2*(q + 1)*(q + 2)**2/9
Let y be ((-676)/(-2197))/(1 - (-11)/(-13)). Suppose 3/8*d - 1/4 - 1/8*d**y = 0. What is d?
1, 2
Suppose 5*r + 3 = 3*y + 2*r, 0 = -2*y + 5*r - 4. Factor 2/3*l - 4/9 + 8/3*l**2 + 14/9*l**y.
2*(l + 1)**2*(7*l - 2)/9
Let o(w) = 103*w**4 - 37*w**3 - 48*w**2 - 13*w. Let r(t) = 310*t**4 - 110*t**3 - 144*t**2 - 40*t. Let c(m) = -16*o(m) + 5*r(m). Factor c(s).
-2*s*(s - 1)*(7*s + 2)**2
Let q(s) be the third derivative of s**5/180 - 2*s**3/9 - 37*s**2. Let q(f) = 0. Calculate f.
-2, 2
Let g(j) be the second derivative of -j**6/90 + j**5/5 - 4*j**4/3 + 32*j**3/9 - 6*j. Suppose g(u) = 0. Calculate u.
0, 4
Let f(q) be the first derivative of q**7/1260 + q**6/270 + q**5/180 + 2*q**3/3 + 1. Let y(l) be the third derivative of f(l). Factor y(n).
2*n*(n + 1)**2/3
Let u(k) be the third derivative of -k**9/7560 - k**8/1260 - k**7/504 - k**6/360 - k**5/30 + 3*k**2. Let c(j) be the third derivative of u(j). Factor c(z).
-2*(z + 1)*(2*z + 1)**2
Let b(r) = 2*r**3 - 4*r**2 + 3. Let n = 26 + -4. Let v(d) 