*4/66 + 2*o**3/33 - o. Factor y(z).
2*z*(z + 2)/11
Let z = -35 + 35. Let i(g) be the second derivative of 1/105*g**7 - g + z + 0*g**6 + 0*g**4 + 1/15*g**3 - 1/25*g**5 + 0*g**2. Determine s so that i(s) = 0.
-1, 0, 1
Let q be (-4)/(-6) - (-13)/(117/12). Solve -1/4*n**q - 3/4*n - 1/2 = 0.
-2, -1
Let o(g) be the third derivative of 0*g + 4*g**2 - 1/72*g**4 - 1/180*g**5 + 0 + 0*g**3. Factor o(b).
-b*(b + 1)/3
Let q(i) be the third derivative of 1/18*i**6 + 1/72*i**4 + 0 + 23/180*i**5 + 6*i**2 + 0*i - 1/9*i**3. Factor q(d).
(d + 1)*(4*d - 1)*(5*d + 2)/3
Let k(b) be the third derivative of 0*b + 0 + 1/20*b**5 + 1/2*b**3 - 1/4*b**4 - b**2. What is l in k(l) = 0?
1
Let x(l) be the second derivative of -1/18*l**4 + 0*l**2 - 2/9*l**3 + 0 + 2*l. Find s such that x(s) = 0.
-2, 0
Let q = -47/9 + 211/18. Factor q*p**3 + 11/2*p + 19/2*p**2 + 3/2*p**4 + 1.
(p + 1)**2*(p + 2)*(3*p + 1)/2
Let d(b) be the first derivative of 2*b**3/9 + 2*b**2 + 4. Factor d(j).
2*j*(j + 6)/3
Suppose 3*x**4 - 3*x**3 - 3*x**2 + 5*x**5 + 0*x**5 - 2*x**5 + 0*x**5 = 0. Calculate x.
-1, 0, 1
Let l(p) be the first derivative of -p**6/2 - 12*p**5/5 - 3*p**4 + 5. Let l(t) = 0. What is t?
-2, 0
Let s = -1/1773 - -2365/1773. Let -16/3 - 8/3*w + s*w**2 + 2/3*w**3 = 0. Calculate w.
-2, 2
Let k(m) = -m**3 + m**2 - 1. Let p(f) = 3*f**3 - f**2 - 2*f + 5. Suppose 0 = -2*o - 5*x + 10, -2*o - 4*x + 3*x - 6 = 0. Let l(u) = o*k(u) - p(u). Factor l(j).
2*j*(j - 1)**2
Let a(v) be the second derivative of 0 - 2/5*v**5 - 2/15*v**6 + 0*v**4 + 2*v**2 - v + 4/3*v**3. Factor a(p).
-4*(p - 1)*(p + 1)**3
Let n be -4 + ((-7)/(-7) - (-76)/20). Factor 6/5*s + 2/5*s**2 + n.
2*(s + 1)*(s + 2)/5
Suppose -3/2*o + 0 - 3/4*o**4 - 3/4*o**5 + 9/4*o**3 + 3/4*o**2 = 0. Calculate o.
-2, -1, 0, 1
Suppose -4*y = -2*h - 26, -3*h - 6 = -y + 8. Suppose y*n = 3*w + 2*w, 2*n - 5*w = 0. Solve -12/5*p**2 + n + 0*p + 3/5*p**5 + 0*p**3 + 9/5*p**4 = 0 for p.
-2, 0, 1
Let k = 769 - 747. Let -2 + 25/2*p**2 + k*p**3 - 4*p + 15/2*p**4 = 0. What is p?
-2, -1, -1/3, 2/5
Let y(w) be the first derivative of -4 + 3/14*w**2 - 5/21*w**3 + 9/7*w + 1/28*w**4. Factor y(s).
(s - 3)**2*(s + 1)/7
Let s(g) be the third derivative of g**5/75 - 2*g**3/15 - 6*g**2. Solve s(h) = 0 for h.
-1, 1
Let z(l) be the third derivative of 5*l**8/336 - l**7/42 - l**6/8 + l**5/12 + 5*l**4/12 + 26*l**2. Factor z(b).
5*b*(b - 2)*(b - 1)*(b + 1)**2
Let w be (-12)/9*1226/8. Let r = w + 206. Factor 0 + r*h**2 - 2/3*h.
h*(5*h - 2)/3
Let s(v) be the third derivative of 0*v**3 - 1/120*v**6 - 9*v**2 + 0*v**5 + 1/210*v**7 + 0*v**4 + 0*v + 0. Factor s(u).
u**3*(u - 1)
Let a(x) = 3*x + 3. Let h(s) be the third derivative of s**6/120 + s**5/60 - s**4/12 - s**3/3 + 3*s**2. Let f(n) = 2*a(n) + 3*h(n). What is o in f(o) = 0?
-1, 0
What is g in -5/4*g + 1 + 3/4*g**4 - 19/4*g**2 - 7/4*g**3 = 0?
-1, 1/3, 4
Let l(o) = 2*o**2 - o. Let p be l(-1). Let v = 3/14 + 2/7. Factor 1/2*w**p + v*w**2 + 0 - w.
w*(w - 1)*(w + 2)/2
Let r(b) = -5*b**3 - 25*b**2 - 15*b + 25. Let z(k) = k**3 + k**2 - 1. Let m(o) = -r(o) - 20*z(o). Factor m(u).
-5*(u - 1)*(u + 1)*(3*u - 1)
Suppose 2*y + 7*y - 36 = 0. Factor 3/2*f**4 + 7/2*f**2 + y*f**3 + 0 + f.
f*(f + 1)**2*(3*f + 2)/2
Suppose x + 252 = 3*x + 2*k, 2*x - 252 = 2*k. Let z = 632/5 - x. Let -z*d + 2/5*d**3 - 2/5 + 2/5*d**2 = 0. What is d?
-1, 1
Let k be -1 - (-4 - (-3 + 3)). Find s such that 45*s**3 - 63*s**5 - 104*s**4 - 240*s**k - 84*s**2 - 33*s + 21*s - 82*s**4 = 0.
-1, -2/3, -2/7, 0
Let s(v) = -7*v**2 + 4*v + 1. Let w(q) = -8*q**2 + 3*q + 2. Let f(k) = -3*s(k) + 2*w(k). Factor f(z).
(z - 1)*(5*z - 1)
Let v be (58/(-45))/(17/85). Let i = 20/3 + v. Suppose 0 - i*d**3 + 0*d**2 + 2/9*d = 0. Calculate d.
-1, 0, 1
Let x(w) be the first derivative of w**7/2 + 6*w**6/5 + 9*w**5/20 - w**4/2 - 4*w - 8. Let l(z) be the first derivative of x(z). Find s, given that l(s) = 0.
-1, 0, 2/7
Let x(u) = u**3 - 1. Let t(r) = -3*r**3 - 3*r + 6. Let m(z) = -t(z) - 6*x(z). Factor m(y).
-3*y*(y - 1)*(y + 1)
Let k(m) = -m**2 - 2. Let p(s) = 6. Let l(x) = -x**2 - 7. Let y(f) = -4*l(f) - 3*p(f). Let z(d) = 14*k(d) + 3*y(d). Determine t, given that z(t) = 0.
-1, 1
Let g be 240/72*12/10. Determine f so that 3/5*f**2 - 3/5*f**3 - 1/5*f + 0 + 1/5*f**g = 0.
0, 1
Let j be 1/(22/7 - 3). Let s = j + -5. Factor 0*i**3 + s*i**2 + 1 + 2*i**3 - 4*i**5 + 4*i**5 - 3*i - 3*i**4 + i**5.
(i - 1)**4*(i + 1)
Let x = 33 - 33. Find w, given that -2/3*w**3 + 2/9*w**2 - 2/9*w**4 + 4/9*w + 2/9*w**5 + x = 0.
-1, 0, 1, 2
Suppose 3*z - 4*p - 4 = -0*p, z = -4*p - 4. What is t in 2/3*t**3 - 2/3*t + 0*t**2 + z = 0?
-1, 0, 1
Suppose -19 - 11 = -5*b. Let w(o) be the second derivative of -1/120*o**b + 0*o**2 + o + 0 + 0*o**3 + 1/80*o**5 + 0*o**4. What is i in w(i) = 0?
0, 1
Factor -1 - 11/2*v - 7/2*v**3 - 8*v**2.
-(v + 1)**2*(7*v + 2)/2
Let q be (-287)/(-820) - 1/3. Let x(j) be the third derivative of -q*j**5 + 0*j + 0 - 1/6*j**3 + 1/12*j**4 - 2*j**2. Factor x(k).
-(k - 1)**2
Let a(f) be the third derivative of -1/20*f**5 + 0*f**4 - f**2 + 0*f + 0 + 0*f**3 - 1/10*f**6. Factor a(k).
-3*k**2*(4*k + 1)
Suppose -z = -5*t + 8, -6*t + t = -5*z. Let a(v) be the third derivative of -1/12*v**4 + 0*v + 0 - 2*v**t + 0*v**3 - 1/60*v**5. Factor a(r).
-r*(r + 2)
Suppose -1/2 + 0*f + f**2 + 0*f**3 - 1/2*f**4 = 0. Calculate f.
-1, 1
Suppose 9*d = 4*d - 15. Let p(t) = -6*t**4 + 6*t**3 + 8*t**2 - 2*t + 2. Let b(s) = -7*s**4 + 6*s**3 + 9*s**2 - s + 3. Let m(f) = d*p(f) + 2*b(f). Factor m(l).
2*l*(l - 2)*(l + 1)*(2*l - 1)
Let b(w) be the second derivative of w**4/12 - w**3/3 + 8*w. Suppose b(q) = 0. Calculate q.
0, 2
Suppose 0 = -2*l - 109 + 37. Let f be (-81)/l*(-16)/(-42). Factor f*y**3 + 0 - 8/7*y**2 + 2/7*y.
2*y*(y - 1)*(3*y - 1)/7
Let q(w) be the first derivative of -2 + 1/18*w**4 + 0*w + 2/9*w**3 - 2/27*w**6 + 1/9*w**2 - 2/15*w**5. Determine a, given that q(a) = 0.
-1, -1/2, 0, 1
Factor 3*c + 2*c**3 + 14*c**2 + 2 + 2*c**3 + 7*c + 2*c**3.
2*(c + 1)**2*(3*c + 1)
Suppose 1 = 2*a + 3, 5*s + 4*a = 6. Solve s*l**2 - 8*l + 1 - 14*l**2 - 3 - 4*l**3 - l = 0.
-2, -1/2
Let y(r) be the third derivative of -r**6/1800 - r**5/600 - r**3/3 - 8*r**2. Let c(g) be the first derivative of y(g). Determine f so that c(f) = 0.
-1, 0
Suppose 7 = 3*k + 2*w, 0 = -3*k + 4*w + 29 + 2. Let l be -2 + (2 + k - 3). Solve 2/5*g**l - 8/5*g + 8/5 = 0 for g.
2
Let -7*b + 9*b - 12*b**2 + b**3 + 46*b - 64 = 0. What is b?
4
Let c(f) be the third derivative of -f**8/3360 - f**7/840 - f**6/720 - 2*f**3/3 - 3*f**2. Let l(x) be the first derivative of c(x). Factor l(r).
-r**2*(r + 1)**2/2
Factor -1/11*f**4 + 0*f + 0 - 2/11*f**3 + 0*f**2 + 1/11*f**5.
f**3*(f - 2)*(f + 1)/11
Factor 0*s**2 + 0 - 8/13*s**4 + 0*s - 6/13*s**5 - 2/13*s**3.
-2*s**3*(s + 1)*(3*s + 1)/13
Factor -5*r**2 - 10*r + 0*r + 1 - 1.
-5*r*(r + 2)
Factor 35*l - 9*l**2 + 10*l**4 - 22*l**2 - 5*l**5 - 10 + 3*l**2 + 10*l**3 - 12*l**2.
-5*(l - 1)**4*(l + 2)
Let d = -35 - -69. Let p = 34 - d. Solve 2/9*j**5 + 4/9*j**4 + p*j**3 + 0 - 2/9*j - 4/9*j**2 = 0 for j.
-1, 0, 1
What is v in -2*v**4 - 2 - 42*v + 42*v + 4*v**2 = 0?
-1, 1
Let h(x) be the second derivative of -x**4/12 + x**2/2 - 3*x. Solve h(y) = 0.
-1, 1
Factor 17*c**2 + 12*c + c**2 + 3 + 3*c**4 + 11*c**3 + c**3.
3*(c + 1)**4
Let b = 7 - 5. Let r(x) be the second derivative of -3/10*x**5 + 0 + 2/3*x**3 + 0*x**2 - 1/6*x**4 - b*x. Factor r(c).
-2*c*(c + 1)*(3*c - 2)
Suppose -7*g + 12 + 9 = 0. Suppose 0 - 2/5*a**g + 0*a + 2/5*a**2 = 0. What is a?
0, 1
Let t be 1 + 1 - 9/(-3). Suppose 4*z**3 - 2*z**4 + z**3 + 2*z**2 + 2*z**t - 4*z**3 - 3*z**3 = 0. Calculate z.
-1, 0, 1
Let q = 2 - 0. Suppose -q*g = 2*g. Determine s so that 2/7*s**2 + g - 2/7*s**3 + 0*s = 0.
0, 1
Let w(d) = d - 2. Let k be w(8). Factor -21*b - 13*b**2 - 3*b**3 + b**2 - k + 6*b.
-3*(b + 1)**2*(b + 2)
Let h = -13 - -15. Suppose -4*i + h*i = 0. Suppose 0 + i*p + 1/3*p**2 = 0. What is p?
0
Let s = -6 - -12. Suppose -4 = -5*p + s. Factor -2/13*h**3 - 24/13*h - 12/13*h**p - 16/13.
-2*(h + 2)**3/13
Factor 23 - 20*o**2 - 8 + 30 + 45*o.
-5*(o - 3)*(4*o + 3)
Let t(b) = -7*b**2 + 13*b - 6. Let h(l) = -l**2 + l. Let r(s) = -4*h(s) + t(s). Factor r(a).
-3*(a - 2)*(a - 1)
Let c(a) be the first derivative of -a**3/4 - 3*a**2/8 + 3*a/2 + 5. Let c(q) = 0. What is q?
-2, 1
Let n = 7 + -5. Let u be (-1*n)/1*-2. 