r -2*t**2 + 7*t**c - 2*t**2 - 5 + 2.
3*(t - 1)*(t + 1)
Let p(q) be the second derivative of -1/18*q**4 + 0*q**2 + 3*q + 0 - 2/9*q**3. Factor p(j).
-2*j*(j + 2)/3
Let w = -5 - -2. Let v be 16/6 + (-1)/w. Let 3*r**v - 4*r**3 + 3*r**4 - 2*r**4 = 0. What is r?
0, 1
Let n(x) be the second derivative of -x**4/4 + x**3/3 - 7*x. Let n(b) = 0. Calculate b.
0, 2/3
Let m be (3 + (-52)/(-72)*-4)*6. Let 0 - m*o**2 - 1/3*o - 1/3*o**3 = 0. What is o?
-1, 0
Factor 3*v**3 + 0 - 3/2*v - 21/4*v**2.
3*v*(v - 2)*(4*v + 1)/4
Suppose v = 17*v - 64. Factor 0*x**2 - 1/3*x**v + 2/3*x + 1/3 - 2/3*x**3.
-(x - 1)*(x + 1)**3/3
Solve 87/7*s**2 - 66/7*s**3 - 75/7*s**4 + 24/7*s - 12/7 + 6*s**5 = 0 for s.
-1, -1/2, 2/7, 1, 2
Let z(m) be the second derivative of m**5/170 - m**4/34 - 14*m. Factor z(v).
2*v**2*(v - 3)/17
Suppose 3*w = 8*w + w. Let c(v) be the second derivative of 0*v**4 + 1/40*v**5 - 2*v + 0*v**2 + w + 0*v**3 + 1/24*v**6. Factor c(u).
u**3*(5*u + 2)/4
Let y = -8 - -13. Suppose 3*u + 2 - y = 0. What is r in 6*r + 25/4*r**3 + 45/4*r**2 + u = 0?
-1, -2/5
Let k(u) be the first derivative of 4/13*u + 5 + 7/13*u**2 - 6/13*u**3. Find o, given that k(o) = 0.
-2/9, 1
Let q be 45/6*(-10)/(-15). Let y(p) be the third derivative of 1/24*p**4 + 0*p + 0 - 1/120*p**6 + 1/60*p**q - 1/6*p**3 + p**2. Solve y(n) = 0 for n.
-1, 1
Suppose 0 = -n - n - 2*u + 16, -n + 3*u - 12 = 0. Factor 77*j**n + 27*j**5 + 22*j**3 + 45*j**2 + 5*j**4 + 6*j + 82*j**4.
3*j*(j + 1)**3*(9*j + 2)
Let m be (0 + 2 + 0)/7. Suppose -42*s = -44*s. Determine n so that -2/7*n**2 + s - m*n = 0.
-1, 0
Let z(m) = -2*m - m**2 + 8*m**3 + 3*m**2 - 12*m**3. Let q(y) = -5*y**3 + 3*y**2 - 3*y. Let j(i) = 2*q(i) - 3*z(i). Factor j(w).
2*w**3
Let d(m) be the first derivative of m**3/12 + m**2/8 - m/2 - 1. What is c in d(c) = 0?
-2, 1
Suppose -5*x + 19 = -5*p + 49, 2*p - x = 12. Let v(y) = 6*y**2 - 3*y - 9. Let l(n) = -5*n**2 + 3*n + 8. Let g(w) = p*v(w) + 7*l(w). Solve g(s) = 0.
-2, -1
Let q be (1 + (-2)/2)/(-2). Suppose j - 2 = -q*j. Factor 2*w**2 - 2*w**j + 3*w**5 + 7*w**3 - 4*w**3 - 6*w**4.
3*w**3*(w - 1)**2
Determine i so that -3 - i**2 + 11 - 8 = 0.
0
Suppose -t = -0*t - 6. Let k(i) be the third derivative of 0 - 1/40*i**5 + 0*i**4 - i**2 + 1/3*i**3 + 1/240*i**t + 0*i. Find l such that k(l) = 0.
-1, 2
Let c = 7/36 + -1/9. Let l(h) be the second derivative of -1/3*h**3 + 0 + 1/5*h**5 - 2*h + 1/4*h**2 - c*h**4 + 1/60*h**6 - 1/21*h**7. Let l(f) = 0. What is f?
-1, 1/4, 1
Let q(x) = x**4 + 9*x**3 + 12*x**2 + 4*x. Let y(m) = m**4 + m**3. Let u(h) = -q(h) - 3*y(h). Factor u(n).
-4*n*(n + 1)**3
Let f(j) be the third derivative of -j**5/36 - 25*j**4/72 - 5*j**3/3 - 3*j**2 - 3. Suppose f(m) = 0. What is m?
-3, -2
Let v(o) = -26*o**3 - 11*o**2 + 180*o - 240. Let f(n) = -5*n**3 - 2*n**2 + 36*n - 48. Let w(h) = -11*f(h) + 2*v(h). Factor w(t).
3*(t - 2)**2*(t + 4)
Let s(q) be the first derivative of 10/39*q**3 + 2/13*q**2 - 4 + 2/65*q**5 + 0*q + 2/13*q**4. Suppose s(k) = 0. Calculate k.
-2, -1, 0
Let q(y) be the second derivative of 0*y**2 + 0 + 2*y - 1/2*y**4 + 1/3*y**3 + 0*y**5 + 4/15*y**6. Let q(f) = 0. What is f?
-1, 0, 1/2
Solve -2*o + 7*o - 4*o**2 + 93 - 94 = 0 for o.
1/4, 1
Let z(m) = 4*m**2 - 5. Let p(r) = -11*r**2 - r + 14. Let v(u) = -3*p(u) - 8*z(u). Let i be v(-4). Solve -8*t**2 + i*t - 4 - 2*t**2 + 12*t + 0*t**2 = 0 for t.
2/5, 1
Let x(c) be the second derivative of -2*c**6/15 - 3*c**5/5 + 11*c. Factor x(p).
-4*p**3*(p + 3)
Let g(m) be the third derivative of m**6/24 - m**5/12 + 3*m**2. Factor g(i).
5*i**2*(i - 1)
Factor 0 + 2/13*q**2 - 2/13*q.
2*q*(q - 1)/13
Let y = -2 - -4. Suppose 3*a - 48 = -a. What is l in -6*l**y + 8 - 12*l + a*l - 2*l**3 = 0?
-2, 1
Suppose 0 = 2*y + 6 + 36. Let v be (-36)/(-21) + (-6)/y. Factor 1/2*n**v + 0*n + 0 + 1/4*n**4 - 3/4*n**3.
n**2*(n - 2)*(n - 1)/4
Let g(d) = -d + 1. Let f(j) = -j**2 + 2*j - 2. Let u(x) = f(x) + 2*g(x). Factor u(y).
-y**2
Let d(c) = 11*c**2 - 90*c + 675. Let a(g) = -2*g**2. Let u(z) = -4*a(z) - d(z). Factor u(o).
-3*(o - 15)**2
Let w(h) = -10*h**2 - 25*h - 5. Let u(l) = 5*l**2 + 12*l + 3. Let y(s) = 5*u(s) + 3*w(s). Factor y(q).
-5*q*(q + 3)
Let h(q) be the second derivative of -q**7/1400 + 3*q**5/200 + q**4/20 - 5*q**3/6 - 6*q. Let x(f) be the second derivative of h(f). Factor x(j).
-3*(j - 2)*(j + 1)**2/5
Let y(k) be the third derivative of k**7/70 - 3*k**5/20 + k**4/4 + 9*k**2. Solve y(t) = 0.
-2, 0, 1
Let l(k) be the third derivative of k**8/112 + k**7/70 - k**6/20 - k**5/10 + k**4/8 + k**3/2 + 4*k**2. Factor l(a).
3*(a - 1)**2*(a + 1)**3
Suppose n + 15 = 6*n. Let c(k) be the second derivative of 1/8*k**5 + 0 - 1/6*k**3 + 1/8*k**4 + n*k + 0*k**2. Factor c(v).
v*(v + 1)*(5*v - 2)/2
Suppose 5*f + 8*f + 2*f + 0*f**2 + 5*f**2 = 0. Calculate f.
-3, 0
Let t be (-292)/(-3066) - 122/(-42). Find c such that 18*c**3 + t*c**2 + 21*c**4 - 3/2*c + 0 + 15/2*c**5 = 0.
-1, 0, 1/5
Let u = 6 + -18. Let w = -10 - u. Find n such that 16*n**2 - w*n + 0 - 81/2*n**4 - 45/2*n**3 = 0.
-1, 0, 2/9
Let 1/7*r + 2/7*r**2 + 1/7*r**3 + 0 = 0. What is r?
-1, 0
Let u(x) be the first derivative of -1/2*x**2 + 0*x + 3 + 1/6*x**4 + 3/10*x**5 + 0*x**3. Let i(v) be the second derivative of u(v). Factor i(w).
2*w*(9*w + 2)
Let b(c) = c**5 - c**3 - c**2 + c + 1. Let d(k) = k**5 + 2*k**3 - k. Let s(q) = 2*b(q) - d(q). What is a in s(a) = 0?
-1, 1, 2
Let -r + 0*r**3 - 4*r + 3*r**3 + 2*r = 0. Calculate r.
-1, 0, 1
Let m(z) = 2*z**2 - 47*z + 66. Let j be m(22). Factor n**3 + 5/4*n**2 + 1/4*n**4 + 1/2*n + j.
n*(n + 1)**2*(n + 2)/4
Find j, given that -j - 3 - 2*j + 2*j**4 + 7*j**2 + 3*j**3 + 2*j**2 - 8*j**4 = 0.
-1, -1/2, 1
Let r = 46 + -39. Let s(x) be the second derivative of 1/5*x**6 - x + 4/3*x**4 - 3/2*x**3 + 0 - 7/10*x**5 - 1/42*x**r + x**2. Factor s(v).
-(v - 2)*(v - 1)**4
Let a(t) be the first derivative of 1/6*t**4 + 2 - 1/15*t**5 + 2/9*t**3 - 1/3*t - 1/18*t**6 - 1/6*t**2. What is x in a(x) = 0?
-1, 1
Let -3*d**2 + 3/2 - 21/4*d = 0. What is d?
-2, 1/4
Suppose c = 5*c - 40. Suppose 6 = -3*f + 3*k + 21, f + 4*k + c = 0. Factor 2/3*g**f + 2*g + 4/3.
2*(g + 1)*(g + 2)/3
Let s(z) be the second derivative of -z**4/30 + z**3/15 + 2*z**2/5 + 41*z. Find w such that s(w) = 0.
-1, 2
Let z(t) be the first derivative of -t**6/1260 - t**5/210 - t**4/84 - 5*t**3/3 - 4. Let b(s) be the third derivative of z(s). Solve b(x) = 0.
-1
Let l(b) be the third derivative of 1/210*b**5 + 1/3*b**3 + 0 + 2*b**2 + 0*b + 1/1260*b**6 + 1/84*b**4. Let j(a) be the first derivative of l(a). Factor j(y).
2*(y + 1)**2/7
Factor 6*w**2 + 7*w - 3*w**2 + 0*w**2 - w - 9.
3*(w - 1)*(w + 3)
Factor 9/4*u**3 + 15/4*u**2 + 0 + 3/2*u.
3*u*(u + 1)*(3*u + 2)/4
Suppose 13*l - 9*l - 8 = 0. Factor 18/5*y - 3/5 - 27/5*y**l.
-3*(3*y - 1)**2/5
Let u(v) be the second derivative of -5*v + 0 + 1/50*v**6 + 0*v**3 + 1/210*v**7 + 3/100*v**5 + 0*v**2 + 1/60*v**4. Factor u(l).
l**2*(l + 1)**3/5
Let b = 135 - 135. Factor -1/2*x**5 - x**4 + b + 0*x - 1/2*x**3 + 0*x**2.
-x**3*(x + 1)**2/2
Let g(n) be the second derivative of 3*n**5/100 - n**4/12 + n**3/15 - n - 3. Factor g(i).
i*(i - 1)*(3*i - 2)/5
Let z be 23/(-5) - 25/(-5). Factor -8/5 + z*p**2 + 6/5*p.
2*(p - 1)*(p + 4)/5
Determine b, given that 0 - 2/9*b**3 - 4/9*b**2 - 2/9*b = 0.
-1, 0
Suppose 3 = v + c - 3, 2*v + 4*c = 6. Factor 7*m - m**3 - 3*m**3 - v*m - 6*m**2.
-2*m*(m + 1)*(2*m + 1)
Factor -1/5*g**2 + 4/5*g - 4/5.
-(g - 2)**2/5
Suppose 3*r - 9 - 9 = -g, g = -5*r + 28. Factor g*s - 3/2*s**2 + 0.
-3*s*(s - 2)/2
Let s = 132 + -394/3. Let x(c) be the first derivative of 1/6*c**6 - 3/2*c**2 + c - 3/5*c**5 - 3 + 1/2*c**4 + s*c**3. Factor x(y).
(y - 1)**4*(y + 1)
Let v(k) = 2*k**3 - k + 1. Let q be v(1). Factor 2 - 2*j**3 - j - 8*j + 6*j**q + 3*j.
-2*(j - 1)**3
Let j(c) = c**2 + 10*c + 25. Let z be j(-7). Let i(t) be the third derivative of -1/360*t**6 + 0 + 2*t**2 + 0*t + 1/60*t**5 + 0*t**z - 2/9*t**3. Factor i(m).
-(m - 2)**2*(m + 1)/3
Let d(b) = -7*b**3 - b**2 - 2*b + 2. Let a(u) = -u**3 - u**2. Let n(o) = 5*a(o) - d(o). Let v(q) be the first derivative of n(q). Factor v(t).
2*(t - 1)*(3*t - 1)
Let q be (-2)/(1 + 0 + -2). Let t(j) be the first derivative of 0*j - 1/2*j**q - j**3 - 1/2*j**4 + 2. Suppose t(m) = 0. What is m?
-1, -1/2, 0
Let h = -6 - -8. Suppose 3*r = 5*u - 5, -3*r + 21 = u + h. Suppose -7*i*