rivative of z**8/6720 - z**6/240 + z**5/60 - z**4/3 + 7*z**2. Let a(m) be the second derivative of q(m). Factor a(r).
(r - 1)**2*(r + 2)
Let y(t) be the third derivative of t**6/160 + t**5/80 - t**4/32 - t**3/8 - 11*t**2. Factor y(s).
3*(s - 1)*(s + 1)**2/4
Let t(l) be the second derivative of 0 - 1/60*l**5 + 1/18*l**3 + 0*l**2 + 1/90*l**6 - 1/36*l**4 + 5*l. Determine d, given that t(d) = 0.
-1, 0, 1
Let m be ((-6)/4)/((-39)/26). Let c(w) = w**3 + 2*w**2 - 2*w + 1. Let n be c(m). Factor 5/4*i + 1/2 - 7/4*i**n.
-(i - 1)*(7*i + 2)/4
Suppose 3*s - 7 = 2*l, s - l + 3 = 6*s. Suppose -3 = -3*c, m + 2*m = 2*c + 4. Factor -2*f + s - 1 + 0 - 6*f**m.
-2*f*(3*f + 1)
Let z = 9 - 7. Find f such that 2*f**5 + 4*f + f**4 - 10*f**3 + 4*f**5 + f**4 - 2*f**z = 0.
-1, 0, 2/3, 1
Let r be ((-40)/6)/(12/(-18)). What is g in 2 - 14*g + 0*g + r*g + 2*g**2 = 0?
1
Let k(m) = 3*m**3 + m**2 - m - 1. Let l(n) = -10*n**3 - 3*n**2 + 3*n + 3. Let i(o) = 7*k(o) + 2*l(o). Factor i(x).
(x - 1)*(x + 1)**2
Let j(n) = -n**4 - n**3 - 1. Let g(x) = -x + 2*x**3 - 3*x**2 + 8*x**4 + 4*x + 0*x + 5. Let a(z) = -g(z) - 5*j(z). Factor a(u).
-3*u*(u - 1)**2*(u + 1)
Suppose -3*r - 17 = -x, r - x - 2 = -5. Let v(w) = -w**3 - 6*w**2 + 6*w - 5. Let k be v(r). Solve 1/2 + 2*c + k*c**2 = 0 for c.
-1/2
Suppose -j + 1 = -8. Suppose 5 = 5*u - 0. Find m, given that m - u - 9*m + j - 6*m**2 = 0.
-2, 2/3
Let j be 4*(-1)/1 - (-78)/12. Let -1/2*x**3 + j*x**2 - 4*x + 2 = 0. What is x?
1, 2
Suppose s - 3*s = y + 4, -16 = 2*s + 4*y. Suppose 6*k - 2*k = s. Factor g - 2 - 4*g**3 + 2*g**4 + 3*g + k*g**4.
2*(g - 1)**3*(g + 1)
Suppose -6 = 3*v - a - 37, -4*v + 52 = -4*a. Suppose -3*z - v + 15 = 0. Factor -z*q**2 + 2*q + 2/3*q**3 - 2/3.
2*(q - 1)**3/3
Let i be (-4 + 0)*-1 - -10. Let f be 36/15 - (-2)/(-5). Factor -i + 14 - 2*z**f.
-2*z**2
Suppose -2*h = 3*h - 60. Let o(d) be the first derivative of h*d**2 + 16*d - 4/3*d**3 - 1/3*d**6 - 12/5*d**5 - 11/2*d**4 + 3. Factor o(g).
-2*(g - 1)*(g + 1)*(g + 2)**3
Suppose 3*c - 2*c - 11 = 0. Let f = 11 - c. Factor 2/5*g + 2/5*g**3 + f + 4/5*g**2.
2*g*(g + 1)**2/5
Factor k - 3/2 + 1/2*k**2.
(k - 1)*(k + 3)/2
Let z(w) = -9*w**2 + 120*w - 89. Let d(n) = -2*n**2 + 24*n - 18. Let v(b) = -11*d(b) + 2*z(b). Factor v(s).
4*(s - 5)*(s - 1)
Let v(m) = 2*m**2 + 8*m. Let r be v(-4). Determine q, given that 1/4*q**2 + 0*q + r = 0.
0
Let p(k) = -4*k**4 + 9*k**3 + 10*k**2 + 2*k. Let l(u) = -5*u**4 + 10*u**3 + 11*u**2 + 2*u. Let z(g) = 5*l(g) - 6*p(g). Factor z(a).
-a*(a + 1)**2*(a + 2)
Let k(g) be the first derivative of g**4/28 + g**3/7 - 3*g**2/7 - 8*g/7 + 33. Factor k(f).
(f - 2)*(f + 1)*(f + 4)/7
Let s(o) be the third derivative of -o**5/450 - 7*o**4/180 - 2*o**3/15 - 28*o**2. Factor s(g).
-2*(g + 1)*(g + 6)/15
Let h(j) be the second derivative of j**5/30 + j**4/6 - j**3 + j**2 - 7*j. Let d(k) be the first derivative of h(k). Factor d(r).
2*(r - 1)*(r + 3)
Let j(a) be the second derivative of a**4/36 + a**3/18 - 28*a. Let j(x) = 0. What is x?
-1, 0
Suppose 7*h - 210 + 196 = 0. Factor 3 + 3/2*i**h + 9/2*i.
3*(i + 1)*(i + 2)/2
Let l(j) be the third derivative of j**6/480 - 3*j**5/40 + 9*j**4/8 - 9*j**3 - 9*j**2. Factor l(u).
(u - 6)**3/4
Let b = 1657/12 - 138. Let i(v) be the second derivative of b*v**3 + 0 - 1/48*v**4 - v - 1/8*v**2. Factor i(z).
-(z - 1)**2/4
Factor 3/7*u**3 + 225/7*u + 45/7*u**2 + 375/7.
3*(u + 5)**3/7
Let f(h) be the first derivative of h**3/3 - h**2/2 - 8. Let v be f(1). Factor -1/4*k**3 + 0 + 1/4*k + v*k**2.
-k*(k - 1)*(k + 1)/4
Let z(n) be the third derivative of n**8/110880 - n**7/6930 + n**6/990 + n**5/60 + 3*n**2. Let t(d) be the third derivative of z(d). Let t(r) = 0. What is r?
2
Let l = -1 - 1. Let i = 4 + l. Let -1/3*j**i - 1/3*j + 0 = 0. What is j?
-1, 0
Let u(h) be the first derivative of -1/2*h**4 + 2 + h**2 + 2/5*h**5 + 0*h - 2/3*h**3. Factor u(b).
2*b*(b - 1)**2*(b + 1)
Factor -2*t**2 + 2*t - 2*t**2 - 2*t**3 - 5*t + t**3.
-t*(t + 1)*(t + 3)
Suppose 7*g - 32 = -11. Factor -7/4*h + 7/4*h**g + 1/2 - 1/2*h**2.
(h - 1)*(h + 1)*(7*h - 2)/4
Solve -2*b**3 - 22*b - 3*b**3 + 2*b + 26*b**2 - 6*b**2 = 0 for b.
0, 2
Suppose -3*m = 5*n - 142, 3*m - 5*n - 118 - 34 = 0. Let c = m + -293/6. Factor 1/3*j**4 + 0*j + 0*j**3 + 0 + 0*j**2 + c*j**5.
j**4*(j + 2)/6
Suppose -11*d + 7*d = -8. Solve 4*j - 2*j**3 - 2*j**3 + 5*j**4 - 2*j**4 - 2*j**d - j**4 = 0 for j.
-1, 0, 1, 2
Determine u, given that -1/3*u**2 + 2/3 + 1/3*u = 0.
-1, 2
Let r = 1010 + -6089/6. Let b = -9/2 - r. Factor 2/3*c**2 - 1/3*c**4 - b*c - 1/3*c**5 - 1/3 + 2/3*c**3.
-(c - 1)**2*(c + 1)**3/3
Let t(u) = 8*u**2 + 8*u. Let h(a) be the third derivative of a**5/60 + a**4/24 + 3*a**2. Let b(k) = -12*h(k) + 2*t(k). Factor b(m).
4*m*(m + 1)
Factor 1/6*j**3 + 0*j**2 - 1/6*j + 0.
j*(j - 1)*(j + 1)/6
Let t(k) = -4 + 5 + 3*k**2 - 2*k**2. Let o(w) = 5*w**2 + 6*w - 1. Let r(p) = -o(p) + 4*t(p). Let s(m) = -m + 1. Let g(b) = r(b) - 5*s(b). Factor g(a).
-a*(a + 1)
Let x(r) = r**2 - r - 1. Let y(u) = 12*u**2 + 3*u - 3. Let f(t) = -6*x(t) + y(t). Factor f(a).
3*(a + 1)*(2*a + 1)
Let b be ((-2)/(-3) + 0)/((-9)/(-27)). Factor 0 + 3/5*q**3 + 1/5*q**4 + 1/5*q + 3/5*q**b.
q*(q + 1)**3/5
Let r(n) = 16*n**4 - 16*n**3 + 6*n**2 + 5*n - 11. Let z(y) = -3*y**4 + 3*y**3 - y**2 - y + 2. Let w(j) = 2*r(j) + 11*z(j). Let w(g) = 0. What is g?
-1, 0, 1
Suppose 1 = w + 10. Let v be 24/w*(-6)/4. Factor -2/3*x**v - 2/3*x + 0 - 2*x**3 - 2*x**2.
-2*x*(x + 1)**3/3
Let y be (-1)/(3/4 + -3 - -2). Factor 0*i + 0 + 2/3*i**5 + 2*i**y + 2/3*i**2 + 2*i**3.
2*i**2*(i + 1)**3/3
Suppose -5*y - y + 5*y**2 + 11*y = 0. What is y?
-1, 0
Factor 32/13 - 3360/13*d**3 + 1712/13*d**2 + 2450/13*d**4 - 384/13*d.
2*(5*d - 2)**2*(7*d - 2)**2/13
Suppose 2*j = -5*n + j + 3, 3*n = -2*j + 6. Factor 0 + 2/11*p**2 + 2/11*p**5 - 2/11*p**3 - 2/11*p**4 + n*p.
2*p**2*(p - 1)**2*(p + 1)/11
Let r = 0 + 11. Let p = r + -11. Factor 0*q + 1/3*q**5 + p*q**2 + 1/3*q**4 + 0 - 2/3*q**3.
q**3*(q - 1)*(q + 2)/3
Let r be 8/56 + 278/14. Let h be ((-2)/(-25))/(4/r). What is b in -2/5*b + h*b**2 - 4/5 = 0?
-1, 2
Let 4/9*y + 0*y**2 + 4/9*y**5 + 0*y**4 - 8/9*y**3 + 0 = 0. Calculate y.
-1, 0, 1
Let l(w) be the second derivative of -w**7/168 + w**6/40 - w**5/40 + 11*w. Factor l(y).
-y**3*(y - 2)*(y - 1)/4
Let w be 2/(20/14) + -1. Let l(i) be the first derivative of -1 - 8/15*i**3 + w*i - 3/5*i**2. Factor l(m).
-2*(m + 1)*(4*m - 1)/5
Suppose -4*y + 2*b = -2, 5 - 30 = 5*b. Let d(v) = -v. Let q be d(y). Determine z, given that 2*z - 6*z**3 + 4 + z**q - 9*z**2 + 8*z = 0.
-2, -1/3, 1
Let l be (-174)/(-290) + ((-602)/(-15))/2. Suppose -70/3*v**4 + 8/3 - 19/3*v**3 + 44/3*v + l*v**2 - 25/3*v**5 = 0. Calculate v.
-2, -1, -2/5, 1
Let q(d) be the third derivative of 3*d**7/140 - 13*d**6/40 + 63*d**5/40 - 3*d**4/2 - 4*d**3 + 9*d**2 - 2. What is u in q(u) = 0?
-1/3, 1, 4
Let g(x) be the third derivative of x**6/900 - 2*x**5/225 + x**4/45 - 43*x**2. Factor g(w).
2*w*(w - 2)**2/15
Factor -4/9*t + 2/3*t**2 - 2/9*t**3 + 0.
-2*t*(t - 2)*(t - 1)/9
Let a(j) be the first derivative of -3/2*j**2 - j + 7/12*j**3 - 6. Find l, given that a(l) = 0.
-2/7, 2
Let i(c) be the second derivative of -c**5/5 - 10*c**4/3 - 46*c**3/3 - 28*c**2 + c + 24. Factor i(y).
-4*(y + 1)*(y + 2)*(y + 7)
Let z(k) be the third derivative of -3*k**5/10 + 5*k**4/8 + k**3/2 - 61*k**2. Let z(j) = 0. What is j?
-1/6, 1
Let 3/5*p**4 + 6/5*p + 0 - 9/5*p**3 - 3/5*p**2 + 3/5*p**5 = 0. Calculate p.
-2, -1, 0, 1
Suppose 0*o = o - 3. Solve 0 - z**4 + z**o + 0*z**4 + 0 = 0.
0, 1
Let j(i) = -i**2 + 4*i + 2. Let u be j(4). Solve 6*r**2 - 7*r**3 + 2*r**5 - 4*r**2 + 4*r - u*r**4 + r**3 = 0 for r.
-1, 0, 1, 2
Let x be ((-3)/(-2))/(6/8). Find p, given that -p - p**2 + p - 2*p**x = 0.
0
Let c(l) = l**2 - l + 2. Let q be c(2). Determine h so that h**q + 3*h**4 - 2*h**4 = 0.
0
Let s(z) be the third derivative of z**7/560 + z**6/96 - z**5/40 + 5*z**4/24 + 3*z**2. Let x(g) be the second derivative of s(g). Factor x(o).
3*(o + 2)*(3*o - 1)/2
Let x be (1/225)/((-15)/(-45)). Let d(y) be the third derivative of -1/24*y**4 + 1/15*y**3 + 0 + x*y**5 + 0*y - 1/600*y**6 + y**2. Factor d(k).
-(k - 2)*(k - 1)**2/5
Let w(t) = t - 2. Let x(y) = -y + 3. Let l(u) = 5*w(u) + 4*x(u). Let a be l(3). Solve 4*c**3 + 5*c**2 - 4*c**2 + a*c**2 - 1 - 1 = 0 for c.
-1, 1/2
Let m be ((-4)/18