 q**3/6 + 9*q. Let y(a) = 0. Calculate a.
0, 1
Let d(y) be the third derivative of y**8/6720 + y**7/840 + y**6/240 + y**5/120 + y**4/4 + 2*y**2. Let h(l) be the second derivative of d(l). Factor h(v).
(v + 1)**3
Let o(j) be the third derivative of -3/20*j**5 - 3/40*j**6 + 0*j**3 + 3*j**2 + 0*j - 1/8*j**4 - 1/70*j**7 + 0. Find z such that o(z) = 0.
-1, 0
Let u(c) = -c**2 - 9*c + 73. Let l be u(5). Determine g, given that 3*g**5 + 0*g + 3/2*g**4 + 0*g**2 + 0 + 0*g**l = 0.
-1/2, 0
Let p = 4 + -15/4. Find z such that 0 - p*z + 1/4*z**2 = 0.
0, 1
Factor -135/2*n - 5/2*n**3 + 45/2*n**2 + 135/2.
-5*(n - 3)**3/2
Let r be 8/(-10)*(-7 + 2). Let o(x) be the second derivative of 1/80*x**5 + 1/24*x**3 - 3*x + 0*x**2 + 0 - 1/24*x**r. Factor o(t).
t*(t - 1)**2/4
Determine n so that -2/3*n**2 + 2*n - 4/3 = 0.
1, 2
Suppose 3*t**4 - 20*t**3 + 16*t**3 + 0*t**5 - t**4 + 2*t**5 = 0. What is t?
-2, 0, 1
Let i = 1 - -3. Factor -64*s**3 + 16*s**2 + 24*s**4 + i*s**4 - 8*s + 28*s**2.
4*s*(s - 1)**2*(7*s - 2)
Let n be (-34)/(-10)*1 + 4/(-10). Factor 1/2*q**4 + 0 - 1/2*q**2 + q - q**n.
q*(q - 2)*(q - 1)*(q + 1)/2
Let y(p) be the third derivative of -3*p**2 + 0 + 1/480*p**6 + 0*p - 1/120*p**5 + 1/96*p**4 + 0*p**3. What is b in y(b) = 0?
0, 1
Let j(b) = -45*b**4 - 55*b**3 + 22*b**2 + 29*b - 3. Let i(v) = 68*v**4 + 83*v**3 - 33*v**2 - 43*v + 5. Let n(r) = -5*i(r) - 7*j(r). Solve n(c) = 0 for c.
-1, 2/5
Let p be 6/10 - (-2)/(-6)*0. Let 3/5*c + 0 + p*c**2 = 0. What is c?
-1, 0
Let l(u) be the second derivative of 2*u**2 - 1/6*u**4 + 1/3*u**3 + 0 - u. Determine f so that l(f) = 0.
-1, 2
Let x(f) be the first derivative of 2*f**5/5 + 7*f**4/4 + f**3 + 17. Factor x(g).
g**2*(g + 3)*(2*g + 1)
Let c(w) be the first derivative of -w**6/480 + w**5/240 + 7*w**2/2 + 5. Let z(s) be the second derivative of c(s). Find u, given that z(u) = 0.
0, 1
Let h = -13/3 + 71/6. Factor 3*u + 3/2*u**4 + 6*u**3 + 0 + h*u**2.
3*u*(u + 1)**2*(u + 2)/2
Let t(m) = 5*m**3 - 20*m**2 + 36*m - 10. Let b(p) = -p**3 + 4*p**2 - 7*p + 2. Let k(d) = 11*b(d) + 2*t(d). What is v in k(v) = 0?
1, 2
Let n = -8 + 13. Suppose -19 = -n*q - 4*o - 0*o, 5*o - 17 = -4*q. Factor -9/5*k**q + 0*k - 2/5*k**2 - 7/5*k**4 + 0.
-k**2*(k + 1)*(7*k + 2)/5
Let a be (-36)/(-10) - (-9)/(-75)*5. Let h(g) be the second derivative of 0 + 1/24*g**a - 4*g - 1/48*g**4 - 1/80*g**5 + 1/8*g**2. What is u in h(u) = 0?
-1, 1
Let a = -17 - -18. Suppose -4 - a = 5*c, c = -4*k + 7. Solve 0 + 2/5*m**3 - 4/5*m**k + 0*m = 0 for m.
0, 2
Find t such that 2*t**3 + 8*t**3 - 2 + 14*t - 30*t**2 + 8*t**3 = 0.
1/3, 1
Suppose 6 = 5*a - 14. Let w(y) be the first derivative of 0*y**2 - 2 - 1/8*y**a + 0*y**3 + 1/10*y**5 + 0*y. Determine b, given that w(b) = 0.
0, 1
Suppose -5*d - 2 - 3 = 0. Let l be (-1)/d - (-1 + 0). What is z in 0*z**4 - 1/4*z**5 - 1/4*z + 1/2*z**3 + 0*z**l + 0 = 0?
-1, 0, 1
Let c(x) = -x**3 - 2*x**2 - 3*x + 2. Let n(d) = -4*d**3 - 7*d**2 - 12*d + 9. Let j(g) = -9*c(g) + 2*n(g). Solve j(o) = 0 for o.
-3, -1, 0
Let d be ((-12)/9 - -3)*15. Let q be 40/12*204/d. Factor -q*p**2 + 84*p**3 + 16/5*p - 110*p**4 + 50*p**5 + 0.
2*p*(p - 1)*(5*p - 2)**3/5
Suppose 0 = -5*m - 0*m. Suppose 4*v - 7 - 1 = m. Let -3 - 2*t + 3 - 7*t**v = 0. Calculate t.
-2/7, 0
Let t(j) = -8*j**3 + j**2 + 8*j - 1. Let w(d) = d**3 - d. Let o(r) = 4*t(r) + 28*w(r). Solve o(z) = 0 for z.
-1, 1
Suppose 0 = 2*h - h - 2. Suppose -10 + 0 = -h*b. Determine v so that 5*v**4 + b*v**4 + 2 - 10*v - 14*v**3 - 2*v**5 - 6*v**3 + 20*v**2 = 0.
1
Let m(v) be the first derivative of -v**8/840 + v**6/300 + 3*v**2/2 + 2. Let y(s) be the second derivative of m(s). Determine f, given that y(f) = 0.
-1, 0, 1
Let y(n) = -n. Let w be y(-3). Factor 3*b**2 + w*b**2 - 3*b**2 - 1 - 2*b**2.
(b - 1)*(b + 1)
Let m(n) be the third derivative of n**6/40 - 7*n**5/100 - n**4/40 + 3*n**3/10 + 25*n**2. Let m(f) = 0. Calculate f.
-3/5, 1
Factor 72*z**4 + 4*z**2 + 4*z**2 + 8*z - 78*z**3 + 0*z**4.
2*z*(3*z - 2)**2*(4*z + 1)
Let o(j) be the second derivative of j**6/90 - j**5/30 - j**4/12 + 15*j. Let o(z) = 0. What is z?
-1, 0, 3
Let x(b) = -7*b**3 + 2*b**2 + 7*b - 2. Let l(p) = -85*p**3 + 25*p**2 + 85*p - 25. Let c(q) = -2*l(q) + 25*x(q). Find a such that c(a) = 0.
-1, 0, 1
Let i(c) = 6*c**2 + 6*c + 14. Let s(z) = 2*z**2 + 2*z + 5. Let l(p) = 5*i(p) - 14*s(p). Determine q, given that l(q) = 0.
-1, 0
Let f(w) be the first derivative of w**5/5 - 3*w**4/2 + 3*w**3 - 2*w**2 - 34. Factor f(o).
o*(o - 4)*(o - 1)**2
Let r = 4 + -2. Suppose -l + 4*l = r*s + 2, 0 = 4*s + 4*l - 16. Factor 0*b**3 + 0 + 2/7*b**4 - 2/7*b**s + 0*b.
2*b**2*(b - 1)*(b + 1)/7
Let x(g) be the second derivative of 0 + 0*g**2 + 1/10*g**6 + 1/12*g**4 - 1/42*g**7 + 0*g**3 - 3/20*g**5 + 2*g. Solve x(y) = 0 for y.
0, 1
Let g(s) be the second derivative of 5*s**4/24 - 7*s**3/12 + s**2/2 - 7*s. Factor g(x).
(x - 1)*(5*x - 2)/2
Let o(v) be the first derivative of 2*v**6/9 - 2*v**5/5 - v**4/3 + 8*v**3/9 - 2*v/3 + 6. Let o(r) = 0. What is r?
-1, -1/2, 1
Determine s so that 0 + 2/7*s - 2/7*s**2 = 0.
0, 1
Determine u so that 5*u**4 - 135*u**3 - 3645*u + 0*u**4 + 7753*u**2 - 6538*u**2 = 0.
0, 9
Factor 0 - 2/7*c**2 + 2/7*c.
-2*c*(c - 1)/7
Let j be ((-2)/(-4))/(10/40). Let x(o) be the first derivative of -3 - 2/3*o**3 - 8*o + 4*o**j. What is d in x(d) = 0?
2
Suppose -5 = -3*f + 2*f. Suppose 5 = t - 5*t - 5*a, 4*a = f*t - 45. Factor 6*o**5 - 10*o**t + 5*o**5 + 2*o**4.
o**4*(o + 2)
Let q = 523/20 + -103/4. Factor 2*w**4 - 16/5*w**3 + 4/5*w + 0 + q*w**2.
2*w*(w - 1)**2*(5*w + 2)/5
Find n, given that 0 - 1/4*n**4 + 1/2*n**3 + 0*n**2 + 0*n = 0.
0, 2
Let q(c) be the third derivative of c**6/720 - c**5/120 + c**3/9 + 9*c**2. Determine n, given that q(n) = 0.
-1, 2
Let i(a) be the third derivative of -a**6/540 - a**5/135 + a**2. Find x such that i(x) = 0.
-2, 0
Solve -b**2 + 776 - 5*b - 770 + 0*b**2 = 0 for b.
-6, 1
Let b(f) be the first derivative of -f**8/2520 + f**6/270 - f**4/36 + f**3/3 - 5. Let a(d) be the third derivative of b(d). Factor a(y).
-2*(y - 1)**2*(y + 1)**2/3
Let v(p) = -2*p**2 - 11*p - 4. Let t(y) = 9*y**2 + 45*y + 15. Let j(a) = 5*t(a) + 21*v(a). Factor j(o).
3*(o - 3)*(o + 1)
Let q(p) be the first derivative of -p**4/14 - 4*p**3/7 - 9*p**2/7 - 12. Solve q(g) = 0.
-3, 0
Let t = -7 - -14. Let n = -7 + t. Suppose 1/3*h**2 + n + 0*h = 0. Calculate h.
0
Let x(p) be the first derivative of -2 - 4/9*p - 1/18*p**4 - 8/27*p**3 - 5/9*p**2. Factor x(s).
-2*(s + 1)**2*(s + 2)/9
Let y(j) = -7*j**3 + 30*j**2 - 39*j + 11. Let f(t) = -77*t + 4 + 16 + 7 + 60*t**2 - 14*t**3 - 6. Let k(h) = 3*f(h) - 5*y(h). Factor k(l).
-(l - 2)**2*(7*l - 2)
Let k(r) be the first derivative of -r**3/12 - r**2/4 - r/4 - 7. Solve k(i) = 0.
-1
Let x be ((-33)/2)/(51/68). Let s be x/(-28) - (-7)/(-14). Suppose 0*a - 2/7*a**2 + s = 0. What is a?
-1, 1
Let l(s) be the first derivative of -5*s**3/3 + 10*s**2 + 25*s - 2. Solve l(n) = 0 for n.
-1, 5
Let c be 4 - (2 + (-2 - -14)). Let i be (2/5)/((-22)/c). Factor 4/11*m**2 + 2/11*m**3 + 0 + i*m.
2*m*(m + 1)**2/11
Let a(z) = -z**4 + z**3 + 3*z**2 - 2*z + 1. Let w(k) = 0 + 0 - 4 + k**3 + 5. Let c(f) = -a(f) + w(f). Factor c(n).
n*(n - 1)**2*(n + 2)
Factor -8 + 6*h**2 - 2 - 10*h**2 - 20*h - 6.
-4*(h + 1)*(h + 4)
Let a = 1 - -5. Suppose 3*h = -h. Factor -a*u - 3*u**2 + 2 + h*u**2 - 2*u**3 + 9*u**2.
-2*(u - 1)**3
Let k(a) = 21*a**4 - 41*a**3 - 51*a**2 + 25*a. Let c(n) = 14*n**4 - 27*n**3 - 34*n**2 + 17*n. Let b(s) = 7*c(s) - 5*k(s). Suppose b(h) = 0. Calculate h.
-1, 0, 2/7, 3
Factor 1/3*g - 2/9 - 1/9*g**3 + 0*g**2.
-(g - 1)**2*(g + 2)/9
Let j = 26 - 16. Suppose 5*n = l + 4*l + j, -26 = -4*n - 5*l. Suppose -10*r**3 + 9*r - 2*r**2 + 3*r + 0*r**2 + 6*r**n - 4 - 2*r = 0. Calculate r.
-1, 2/3, 1
Let f(a) = 2*a**3 + 2*a - 1. Let u be f(1). Suppose -b + 8*b - 8*b**2 - u*b + 4*b**3 = 0. What is b?
0, 1
Suppose 5*r + 7*b = 2*b + 45, -5*r = -2*b - 17. Factor -7*j**3 + 0 + 17*j**3 - 1 - 8*j**4 - 10*j**2 + j**r + 5*j + 3*j**4.
(j - 1)**5
Factor -4/9*r - 1/9*r**2 + 4/9 + 1/9*r**3.
(r - 2)*(r - 1)*(r + 2)/9
Let p(y) be the third derivative of y**5/15 - 7*y**4/24 - y**3/3 + 3*y**2. Factor p(a).
(a - 2)*(4*a + 1)
Let v(b) be the second derivative of 5*b**4/12 + 4*b**3/3 + 3*b**2/2 + 32*b. Find x such that v(x) = 0.
-1, -3/5
Suppose -3*b + 3 = 3*x, -5*x - 3*b = -x - 9. 