 1)**3*(q + 1)
Suppose 8*i - 7 - 17 = 0. Suppose 0 - 1/3*v**4 + 0*v**i + 1/3*v**2 + 0*v = 0. Calculate v.
-1, 0, 1
Suppose 2/9*h**4 - 2/9*h - 4/9*h**2 + 4/9*h**3 + 2/9 - 2/9*h**5 = 0. Calculate h.
-1, 1
Let c(a) be the third derivative of 2*a**2 - 167/10*a**5 - 1657/60*a**6 - 4/3*a**3 + 0*a - 54/7*a**8 - 24*a**7 - 6*a**4 + 0. Suppose c(o) = 0. What is o?
-1, -1/4, -2/9
Let w(p) be the third derivative of p**6/120 - p**5/15 + p**3/3 + p**2. Let m be w(4). Determine h so that -h - 1/4 + 3/4*h**4 - 1/2*h**m + h**3 = 0.
-1, -1/3, 1
Let x = -141 + 145. Let l(z) be the first derivative of -7/2*z**x - 3 + 6*z**3 - 2*z**2 + 0*z. Factor l(o).
-2*o*(o - 1)*(7*o - 2)
Let f(d) = -d**3 - 6*d**2 + 2. Let m(k) = -k**3 - 11*k**2 - k + 4. Let t(o) = -5*f(o) + 3*m(o). Factor t(g).
(g - 2)*(g + 1)*(2*g - 1)
Factor -2/3 - 2/3*o**4 - 4*o**2 - 8/3*o**3 - 8/3*o.
-2*(o + 1)**4/3
Let f(t) be the second derivative of 0*t**4 - 2/3*t**3 + 1/5*t**5 + 1/15*t**6 + 0 + 4*t - t**2. Factor f(u).
2*(u - 1)*(u + 1)**3
Let f be ((-3)/4)/((-5)/120). Suppose -f*o = -14*o. Factor o*v + 1/2*v**2 - 1/2.
(v - 1)*(v + 1)/2
Let k(r) = r - 1. Let i(l) = 5*l**3 + 2*l**2 - 3*l - 4. Let m(g) = i(g) - 2*k(g). Factor m(s).
(s - 1)*(s + 1)*(5*s + 2)
Let v(f) be the first derivative of 4*f**5/5 - 12*f**4 + 184*f**3/3 - 120*f**2 + 100*f + 30. Find g such that v(g) = 0.
1, 5
Let x(z) be the first derivative of -4*z**3/21 - 8*z**2/7 - 16*z/7 + 47. Factor x(n).
-4*(n + 2)**2/7
Let d(c) be the first derivative of 8*c**5/5 + 8*c**4 + 14*c**3 + 9*c**2 - 8. Factor d(t).
2*t*(t + 1)*(2*t + 3)**2
Suppose 0 - 8 = -4*s, -10 = -2*w + 4*s. Let x(m) = -5*m**2 + 7*m + 2. Let k(q) = -9*q**2 + 5*q + 9*q + q - 2*q**2 + 5. Let a(l) = w*x(l) - 4*k(l). Factor a(o).
-(o - 2)*(o - 1)
Let a(k) be the third derivative of -k**8/504 - k**7/315 + k**6/180 + k**5/90 - 7*k**2. Factor a(d).
-2*d**2*(d - 1)*(d + 1)**2/3
What is q in 4*q - 72 + 70 - 4*q**3 + 5*q**4 - 2*q**4 - q**4 = 0?
-1, 1
Suppose -3*x - 4 - 12 = -h, -2*h - 3*x = 4. Factor -2/3*c**h - 14/15*c**2 - 6/5*c**3 - 2/15*c**5 + 0 - 4/15*c.
-2*c*(c + 1)**3*(c + 2)/15
Let m(v) be the first derivative of 2/5*v**5 + 0*v**3 - v**4 - 2*v - 2 + 2*v**2. Let m(x) = 0. Calculate x.
-1, 1
Factor 12*n**4 + 3/4 - 75/4*n**3 + 57/4*n**2 - 21/4*n - 3*n**5.
-3*(n - 1)**3*(2*n - 1)**2/4
Let d(f) be the third derivative of -3*f**2 - 3/50*f**5 - 4/5*f**3 + 0*f - 1/200*f**6 + 0 - 3/10*f**4. Factor d(x).
-3*(x + 2)**3/5
Let m be (1 + 5/(-2))/(42/(-56)). Factor -o**3 - 3/4*o**4 + 0 + 1/2*o + 1/4*o**m.
-o*(o + 1)**2*(3*o - 2)/4
Let m(o) = -o**2 - 7*o + 7. Let c be m(-8). Let h = c + 6/5. Factor 2/5 - h*r**2 + 1/5*r.
-(r - 2)*(r + 1)/5
Let m(f) be the first derivative of -1/2*f**6 - 3/2*f**4 - 9/5*f**5 + 2 + 3*f + 2*f**3 + 9/2*f**2. Factor m(u).
-3*(u - 1)*(u + 1)**4
Let x = -6559/321 - 25/107. Let p = x - -313/15. Suppose -1/5*j**2 + 1/5 + 1/5*j**3 - p*j = 0. Calculate j.
-1, 1
Factor -4/5*n**3 - 1/5*n**2 + 0 + 0*n - 3/5*n**4.
-n**2*(n + 1)*(3*n + 1)/5
Suppose 8*f = 6*f. Let x(r) be the second derivative of 0*r**3 + f*r**2 + 0 - 1/20*r**5 + 2*r - 1/12*r**4. Determine q so that x(q) = 0.
-1, 0
Let g(i) be the third derivative of -i**6/30 - i**5/5 - i**4/3 - 8*i**2. Solve g(t) = 0.
-2, -1, 0
Determine i, given that 2*i**5 + 24*i**2 + 12*i**4 - i + 26*i**3 + 2*i + 7*i + 0*i**5 = 0.
-2, -1, 0
Factor m**2 - 3*m**2 + m - 2*m + m**2.
-m*(m + 1)
Let w(m) be the second derivative of m**10/15120 + m**9/3780 - m**7/630 - m**6/360 - m**4/6 - 3*m. Let i(s) be the third derivative of w(s). Factor i(h).
2*h*(h - 1)*(h + 1)**3
Suppose -2/3*j + 2/3*j**2 - 4/3 = 0. Calculate j.
-1, 2
Suppose 0 = -4*y - 2*y + 12. What is f in 1/4*f**y - 1/4 + 0*f = 0?
-1, 1
What is m in 13/3*m**3 + 20*m**2 + 1/3*m**4 + 64/3 + 112/3*m = 0?
-4, -1
Let w(d) be the third derivative of 0*d**3 + 0*d**5 + 0 + 1/70*d**7 + 1/40*d**6 + 0*d - 1/56*d**8 + 0*d**4 - 7*d**2. Factor w(g).
-3*g**3*(g - 1)*(2*g + 1)
Suppose 0 = 41*y - 9 - 73. Find x such that 0 - 4/3*x + 2/3*x**y = 0.
0, 2
Let c(h) be the third derivative of -h**8/252 + 16*h**7/315 - 5*h**6/18 + 38*h**5/45 - 14*h**4/9 + 16*h**3/9 + 12*h**2. Factor c(l).
-4*(l - 2)**3*(l - 1)**2/3
Find a such that 7*a**2 - 30*a - 2*a**2 - 45 - 3*a**2 - 7*a**2 = 0.
-3
Suppose 27 - 9 = 2*u. Let s be 2/u + 6/(-27). Factor s*m + 0 + 1/2*m**2.
m**2/2
Let j(m) be the first derivative of -3*m**5/4 - 2*m**4 + 2*m**3 + 3*m + 5. Let u(z) be the first derivative of j(z). Determine q so that u(q) = 0.
-2, 0, 2/5
Let n be 15/(-6) + (-1)/(-2). Let k be 2 + n - (-1 - 1). Solve -5*l**3 - 2*l**3 + 4 + 0*l**3 + 12*l - 9*l**k = 0 for l.
-2, -2/7, 1
Let g be 4 + 1/((-1)/2). Determine q so that q**2 - 3*q + 2*q + 0*q**g + 2*q = 0.
-1, 0
Let y(k) be the third derivative of 0*k + 1/105*k**7 - 1/45*k**6 + 0*k**3 + 0 - 11/270*k**5 - 2*k**2 - 1/54*k**4. What is w in y(w) = 0?
-1/3, 0, 2
Let n(k) = -120*k**3 - 65*k**2 + 100*k + 45. Let f(w) = 11*w**3 + 6*w**2 - 9*w - 4. Let u(o) = -65*f(o) - 6*n(o). Find c, given that u(c) = 0.
-1, 2
Suppose 5*d - 10 = -5*v, d - 3*v = -2*v + 6. Let x(b) = 2*b**3 + 6*b**2 + 4*b. Let m(r) = -6*r**3 - 18*r**2 - 12*r. Let z(t) = d*m(t) + 11*x(t). Factor z(h).
-2*h*(h + 1)*(h + 2)
Let y(p) = -2*p**2 + 12*p + 4. Let z(x) = x**2 - 16 - 60*x - 5 + 8*x**2. Let b(m) = -24*y(m) - 5*z(m). Factor b(q).
3*(q + 1)*(q + 3)
Let f(t) = 3*t - 33. Let a be f(12). Factor 1/4 + 1/4*o**a + 3/4*o**2 + 3/4*o.
(o + 1)**3/4
Let n(i) = -i. Let o be n(0). Let c = -131 - -133. Factor -1/2*p**5 + o*p**4 + 0*p**c + 0 - 1/2*p + p**3.
-p*(p - 1)**2*(p + 1)**2/2
Suppose 39*d - 114 = 42. Factor 1/3*h + 2/3*h**d + 0 - 3/2*h**2 + 1/2*h**3.
h*(h - 1)*(h + 2)*(4*h - 1)/6
Let z(v) be the first derivative of v**6/280 - v**5/35 + 5*v**4/56 - v**3/7 + v**2 - 3. Let t(n) be the second derivative of z(n). Factor t(c).
3*(c - 2)*(c - 1)**2/7
Let o be 6/4 + (-3)/(-6). Let z(x) be the first derivative of -o + 0*x + 0*x**2 + 1/3*x**3. Factor z(t).
t**2
Let h = 85 - 85. Determine r, given that 0*r + 2/3*r**5 + 2/3*r**3 + h + 0*r**2 + 4/3*r**4 = 0.
-1, 0
Let i be (-214)/14 - (-4)/14. Let q be -3*(1 + i/9). Factor -s + 3*s - 4*s - 4*s**2 + q*s**2.
-2*s*(s + 1)
Let b(q) be the first derivative of 0*q**3 - q - 1/60*q**5 + 2 + 0*q**2 + 1/36*q**4. Let n(c) be the first derivative of b(c). Factor n(r).
-r**2*(r - 1)/3
Factor 3*i - 17 + 3*i**2 - 18*i + 17.
3*i*(i - 5)
Let w be ((-8)/(-16))/(1/4). Factor 0*x + 36*x**w + 2*x + 8 + 4*x**4 - 30*x - 20*x**3.
4*(x - 2)*(x - 1)**3
Suppose 4*a + 7 = 5*l, 3 = 2*a + a - l. Suppose 2*x - 16 = -a*x. Factor -2*g**x + 2*g**2 + 3*g**3 - 3*g**3.
-2*g**2*(g - 1)*(g + 1)
Let a be (648/(-110))/(-6) - 4/22. Factor 0 - 2/5*u**4 + 6/5*u**2 + 0*u**3 - a*u.
-2*u*(u - 1)**2*(u + 2)/5
Let n(v) = v**3 + v + 1. Let h(p) = 4*p**2 + 24*p + 16. Let i(b) = h(b) - 4*n(b). Factor i(w).
-4*(w - 3)*(w + 1)**2
Let i(o) be the third derivative of o**6/300 - o**5/75 + o**4/60 - 6*o**2. Factor i(v).
2*v*(v - 1)**2/5
Let r be 217/35 - 18/3. Factor 0 - 1/5*c**2 - r*c.
-c*(c + 1)/5
Let j(m) be the third derivative of 0*m**4 + 0 + 0*m**3 - 1/150*m**5 + 0*m - 4*m**2. Solve j(s) = 0.
0
Let l be 0/(2/10 + 11/(-5)). Let l*y + 0 - 1/2*y**3 + 1/4*y**2 + 1/4*y**4 = 0. Calculate y.
0, 1
Factor 23 - 67*i**2 + 63*i**2 - 7.
-4*(i - 2)*(i + 2)
Let z(u) be the first derivative of -8/9*u**3 - 1/15*u**5 + 5/12*u**4 + 0*u - 2 + 2/3*u**2. Determine x so that z(x) = 0.
0, 1, 2
Let k = -2 - -2. Suppose 0 = -h - 4, -2*f - h + 3*h + 12 = k. Suppose -19 - f*j**2 + 19 = 0. What is j?
0
Let t(j) be the second derivative of -j**5/30 + j**4/6 - j**3/3 + 5*j**2/2 + 6*j. Let x(q) be the first derivative of t(q). Factor x(d).
-2*(d - 1)**2
Let c(d) be the first derivative of -2 + 3/2*d**2 - 3*d + 3/20*d**5 + 3/2*d**3 + 3/4*d**4. Let y(w) be the first derivative of c(w). Factor y(z).
3*(z + 1)**3
Suppose -2*w = -8 - 2. Let n = w - 2. Determine z, given that z - 4*z**2 + 2 + z - 2*z**n + 2*z**2 = 0.
-1, 1
Factor -10/9*h**2 + 8/9*h**3 + 4/9*h - 2/9*h**4 + 0.
-2*h*(h - 2)*(h - 1)**2/9
Let w(b) be the second derivative of -b**4/26 + 8*b**3/39 - 4*b**2/13 + 13*b. Factor w(o).
-2*(o - 2)*(3*o - 2)/13
Let q(y) be the first derivative of y**3/18 + y**2/12 - 13. Factor q(p).
p*(p + 1)/6
Let k = -50/7 + 207/28. Let o(l) be the first derivative of -1/12*l**3 - 1 + 0*l + k*l*