w**2 - 1/3*w**4 + 0 - 1/3*w**5 = 0.
-1, 0, 1
Find j such that -2*j + 3*j - 10*j - 3*j**2 = 0.
-3, 0
Let l(d) be the third derivative of d**5/12 - 25*d**4/24 + 5*d**3 + 30*d**2. Let l(k) = 0. What is k?
2, 3
Suppose 5*v = -n + 13, 13 = n + 4*v + 2. Factor 0*k + 1/3*k**2 + 0 + 1/3*k**n.
k**2*(k + 1)/3
Let r be 2 + (-6)/4 + 1. Let p = -331 + 331. Factor 3*w + p + r*w**2.
3*w*(w + 2)/2
Factor 0*x**2 + 1/4*x**3 + 0 + 0*x.
x**3/4
Let a(c) be the second derivative of -c**6/120 - c**5/40 + c**3/6 - 5*c. Let i(p) be the second derivative of a(p). Factor i(v).
-3*v*(v + 1)
Let j(r) be the first derivative of -2*r**2 - 1/2*r**4 - 2 - 2*r**3 + 0*r. Solve j(h) = 0 for h.
-2, -1, 0
Suppose 4*j - 34 = -3*k - j, 27 = 4*k + 3*j. Suppose c - 5*c + 2*x - 6 = 0, -x + k = 4*c. Suppose c - 2/7*v**2 + 0*v = 0. What is v?
0
Factor 19/3*q + 19*q**2 + 56/3*q**3 + 16/3*q**4 + 2/3.
(q + 1)*(q + 2)*(4*q + 1)**2/3
Let p(h) = -h**3 - 2*h**2 + 3*h + 2. Let m be p(-3). Suppose 0 = 3*f - 2*n - 6 - 6, 0 = 5*f - m*n - 16. Factor -2*b**2 - 2*b**2 + 2*b**2 + b**f + 2*b.
-b*(b - 2)
Let o be 9 - 12 - (-2 + -1). Suppose o*n - 2*n + 4 = 0. Factor 0*b + 2/7*b**n - 2/7.
2*(b - 1)*(b + 1)/7
Let -4*m + 0*m + 4 - 2*m - 2*m**3 + 4*m**3 = 0. Calculate m.
-2, 1
Let s(y) be the first derivative of -3*y**4/4 + 6*y**3/5 - 3*y**2/10 - 24. Find k, given that s(k) = 0.
0, 1/5, 1
Let v(y) be the second derivative of y**7/210 - y**6/150 - y**5/100 + y**4/60 + y. Suppose v(a) = 0. What is a?
-1, 0, 1
Let n = -16 + 20. Let y(a) be the second derivative of 0*a**2 + 1/60*a**n + 0 - 1/100*a**5 + 1/15*a**3 - 3*a. Factor y(c).
-c*(c - 2)*(c + 1)/5
Let f(h) be the second derivative of h**5/90 + h**4/27 - 4*h**3/27 - 8*h**2/9 - 13*h. Factor f(x).
2*(x - 2)*(x + 2)**2/9
Let p(k) = -k**3 + 1. Let f be p(2). Let d = f - -9. Factor -1/5*a**3 + 0 + 1/5*a**d - 1/5*a**4 + 1/5*a.
-a*(a - 1)*(a + 1)**2/5
Let p(c) = -c**2 - 9*c - 5. Let v be p(-8). Suppose 15 = 5*h, r = -0*r - 4*h + 16. Factor -2/5*s**r + 2/5*s + 4/5*s**2 - 4/5*s**v + 2/5*s**5 - 2/5.
2*(s - 1)**3*(s + 1)**2/5
Let r(k) be the second derivative of -1/20*k**5 + 0*k**4 + 0*k**3 + 0*k**2 + 0 - 3*k. Determine f, given that r(f) = 0.
0
Let m be (52/(-16))/(-2 + 0). Let z = m - 23/24. Factor -8/3 - 8/3*n - z*n**2.
-2*(n + 2)**2/3
Let m(y) be the second derivative of -y**5/30 + y**4/12 + 3*y**2/2 - 3*y. Let t(n) be the first derivative of m(n). Factor t(i).
-2*i*(i - 1)
Let q(r) be the second derivative of -r**4/6 - 2*r**3 - 5*r**2 + 13*r. Factor q(x).
-2*(x + 1)*(x + 5)
Factor -4/3*c**4 + 16/3 + 4/3*c**5 - 20/3*c**3 + 4/3*c**2 + 32/3*c.
4*(c - 2)**2*(c + 1)**3/3
Let l(w) be the second derivative of w**6/720 - w**5/240 - w**3/3 + 3*w. Let n(u) be the second derivative of l(u). Let n(t) = 0. What is t?
0, 1
Let n = -59 - -136. Let a = n + -383/5. Let -a + 4/5*q - 2/5*q**2 = 0. Calculate q.
1
Let a = 103 - 103. Let t(y) be the first derivative of -2/9*y**3 - 3 + a*y - 1/3*y**2. Factor t(b).
-2*b*(b + 1)/3
Let n(f) be the first derivative of -9*f**4/22 - 14*f**3/11 - 16*f**2/11 - 8*f/11 - 8. Factor n(c).
-2*(c + 1)*(3*c + 2)**2/11
Let m(p) = 3*p**4 + 6*p**3 - 4*p**2 - 4*p - 4. Let c(h) = 3*h**4 + 5*h**3 - 3*h**2 - 3*h - 3. Suppose 0 + 3 = l. Let a(j) = l*m(j) - 4*c(j). Factor a(t).
-t**3*(3*t + 2)
Find g such that 2/5*g**5 + 6/5*g**3 - 8/5*g**4 + 0 - 8/5*g + 8/5*g**2 = 0.
-1, 0, 1, 2
Let l(x) = x**3 - x**2. Let s(m) = -137*m**3 - 133*m**2 - 45*m - 5. Let k(f) = 2*l(f) + s(f). Factor k(g).
-5*(3*g + 1)**3
Let l(z) be the second derivative of 0 + 0*z**3 + 1/60*z**4 + 0*z**5 + 0*z**2 + 2*z - 1/150*z**6. Suppose l(m) = 0. What is m?
-1, 0, 1
Let q be 2*3/(-18)*-39. Factor -q*s + 24 - 4*s**2 + 8*s**2 + 12 - 11*s.
4*(s - 3)**2
Let j = -7 + 9. Factor g**2 - g**3 + 2*g**4 - 7*g**4 + 3*g**5 + j*g**3.
g**2*(g - 1)**2*(3*g + 1)
Determine g so that 2/11 + 2/11*g**2 + 4/11*g = 0.
-1
Let a(r) = 100*r**2 - 165*r + 155. Let v(i) = 9*i**2 - 15*i + 14. Let o(d) = -4*a(d) + 45*v(d). Factor o(f).
5*(f - 2)*(f - 1)
Let 0*r**2 + 0 + 0*r + 4/5*r**5 + 8/5*r**4 + 4/5*r**3 = 0. Calculate r.
-1, 0
Let n(z) be the third derivative of -z**6/40 + 3*z**5/20 - 3*z**4/8 + z**3/2 - 5*z**2. What is i in n(i) = 0?
1
Suppose 6*p - 3*p = 6. Suppose 9 = 3*u - c, 0 = p*u - 3*c - 12 - 1. What is h in 2*h**3 + 6*h - 4*h**3 - u + 2*h**3 + 2*h**3 - 6*h**2 = 0?
1
Let m(t) be the third derivative of t**10/15120 + t**9/3780 - t**7/630 - t**6/360 + t**4/8 + 5*t**2. Let d(s) be the second derivative of m(s). Factor d(b).
2*b*(b - 1)*(b + 1)**3
Suppose -3*j - 2 = -q, -3 = -q - 4*j - 1. Suppose 0 = -s - 0*k + 2*k, 2*k = -3*s + 8. Suppose -3*n - n - 2*n**q + s + 4*n = 0. What is n?
-1, 1
Find g such that -34/5*g + 6*g**2 + 4/5 = 0.
2/15, 1
Let 0 + 12/7*j**2 - 4/7*j**4 - 8/7*j + 0*j**3 = 0. What is j?
-2, 0, 1
Let o(x) = -3*x**4 - 10*x**3 + 9*x**2 - x. Let v(d) = 2*d**4 + 10*d**3 - 10*d**2 + 2*d. Let i(l) = -4*o(l) - 5*v(l). Factor i(n).
2*n*(n - 3)*(n - 1)**2
Factor -5*n**4 + 8*n**3 - 7*n**4 + 4*n**5 + 0*n**4.
4*n**3*(n - 2)*(n - 1)
Let l(n) be the first derivative of -1/5*n**5 - n - 2*n**2 - n**4 - 2*n**3 + 5. Suppose l(w) = 0. What is w?
-1
Let x(h) = -h**2 - 4*h - 1. Let k be x(-3). Factor -10*w + 9*w + w**k + 2*w.
w*(w + 1)
Suppose 2*k = 43 - 39. Let m(v) be the first derivative of -k + 0*v**2 + 0*v**4 + 0*v - 2/15*v**3 + 2/25*v**5. Solve m(z) = 0.
-1, 0, 1
Let c(w) be the first derivative of -2*w**3/21 + 3*w**2/7 + 6. Factor c(s).
-2*s*(s - 3)/7
Let s be (-3)/(-6)*(6 - -2). Suppose 0 = -2*v + v - h - 2, -s*v - 3*h - 3 = 0. Suppose -1/2*r**2 - 1/2*r**v + 1/2*r**4 + 0 + 1/2*r = 0. What is r?
-1, 0, 1
Let m be (-6)/(-7)*(2 - -1)/3. Let m*s**4 - 6/7*s**3 + 0 - 2/7*s**5 + 0*s + 2/7*s**2 = 0. Calculate s.
0, 1
Let x(v) be the second derivative of -3*v + 0 - 5/33*v**3 - 2/11*v**2 - 1/110*v**5 - 2/33*v**4. Determine b so that x(b) = 0.
-2, -1
Let t be 3 - -3*(-10)/6. Let y be (-68)/(-16) - (1 - t). Solve 1/4*d**4 - 1/4*d**3 - 1/2 - 3/4*d**2 + y*d = 0 for d.
-2, 1
Let g(f) = 2*f + 18. Let j be g(-15). Let z be (-18)/(-15)*(-40)/j. Factor 1/2*n**5 - 5/2*n**z + 9/2*n**3 + 0 - 7/2*n**2 + n.
n*(n - 2)*(n - 1)**3/2
Let r(l) be the first derivative of -2*l**6/51 + 2*l**5/85 + 2*l**4/17 - 4*l**3/51 - 2*l**2/17 + 2*l/17 + 56. Suppose r(y) = 0. What is y?
-1, 1/2, 1
Let y(b) be the second derivative of b**5/4 + 5*b**4/4 - 10*b**2 + 10*b. Solve y(z) = 0.
-2, 1
Determine n, given that 4*n**3 + 20/3*n**2 + 0 + 8/3*n = 0.
-1, -2/3, 0
Let h(a) be the third derivative of -a**8/672 - a**7/420 - 3*a**2. Factor h(k).
-k**4*(k + 1)/2
Let o be -1*(-4)/36*3. Let u(x) be the third derivative of -2*x**2 + 0*x - 1/30*x**5 + 1/12*x**4 + o*x**3 - 1/60*x**6 + 0. Factor u(b).
-2*(b - 1)*(b + 1)**2
Let c(n) = -n**3 + n + 1. Let j(l) = -4 + 11*l**2 - 7*l**2 + l**3 - 17*l + 8*l**2 + 3. Let d(g) = -5*c(g) - j(g). Factor d(o).
4*(o - 1)**3
Let t = 25 - 23. Let z(m) be the second derivative of 1/10*m**5 + 0*m**3 + 0 - 7/30*m**6 + 1/12*m**4 + m + 2/21*m**7 + 0*m**t. Factor z(a).
a**2*(a - 1)**2*(4*a + 1)
Let p(q) be the third derivative of q**7/1260 + 7*q**6/720 + 17*q**5/360 + 17*q**4/144 + q**3/6 + 21*q**2. Factor p(u).
(u + 1)**2*(u + 2)*(u + 3)/6
Let q(b) be the first derivative of -4*b**3/9 - 10*b**2/3 - 16*b/3 - 32. Let q(y) = 0. Calculate y.
-4, -1
Let j(a) be the second derivative of -a**6/180 + a**5/30 - a**4/12 - a**3/2 - a. Let z(x) be the second derivative of j(x). Factor z(s).
-2*(s - 1)**2
Solve -2*j**3 + 3*j - 2 - j**5 + 57*j**2 - 59*j**2 + 1 + 0 + 3*j**4 = 0.
-1, 1
Suppose -p = t - 2, 3*p + 4*t - 9 = -0*t. Let j(h) = 4*h**2 - 3*h - 2. Let o be j(p). Factor 1/2*q**o + 1/2 + 1/2*q**4 + 1/2*q - q**2 - q**3.
(q - 1)**2*(q + 1)**3/2
Let f(z) be the first derivative of -5*z**3/3 + 10*z**2 - 15*z - 28. Factor f(t).
-5*(t - 3)*(t - 1)
Let w(p) = -45*p**4 + 77*p**3 - 35*p**2 + 5*p + 2. Let t(x) = -315*x**4 + 540*x**3 - 245*x**2 + 35*x + 15. Let n(l) = 2*t(l) - 15*w(l). Factor n(r).
5*r*(r - 1)*(3*r - 1)**2
Let j(n) be the first derivative of -n**3/18 + 5*n**2/12 - 5. Solve j(d) = 0 for d.
0, 5
Let f be (-7 + 10)/((-6)/(-10)). Let l(i) be the third derivative of -1/72*i**4 + 0 + 1/180*i**f - 1/9*i**3 - 2*i**2 + 0*i. Factor l(k).
(k - 2)*(k + 1)/3
Factor -18/11 - 12/11*j - 2/11*j**2.
-2*(j + 3)**2/11
Let r(k) be the second derivative of -5*k**