*3 + 0*z**2 + 2/11*z**4 - 4/11*z = 0. Calculate z.
-1, 1
Let h be 1*6 - (5 - 2). Let a(m) be the second derivative of -2*m + 3*m**h + 2*m**2 + 7/6*m**4 + 0. Suppose a(l) = 0. Calculate l.
-1, -2/7
Let h(m) be the first derivative of -m**6/20 + 11*m**5/90 - m**4/18 - m**2 + 2. Let a(q) be the second derivative of h(q). What is d in a(d) = 0?
0, 2/9, 1
Let t(h) be the third derivative of -h**9/1008 + h**8/280 - h**6/60 + h**5/40 - 4*h**3/3 - 3*h**2. Let l(z) be the first derivative of t(z). Factor l(x).
-3*x*(x - 1)**3*(x + 1)
Let h = 14 + -6. Suppose 3*v - 5*l - 6 = -0, -3*l - h = -4*v. Factor -3*c**2 + 0*c**2 + c**v + 3*c**4 + c**3.
c**2*(c + 1)*(3*c - 2)
Let m(b) be the first derivative of b**4/30 - b**3/15 - 2*b**2/5 - 2*b + 2. Let r(n) be the first derivative of m(n). Find j such that r(j) = 0.
-1, 2
Suppose 3*z = 19 - 10. Suppose 4*x = -z*j - 3, 5*x - 3 + 6 = -3*j. Solve u**3 + 0*u**4 + 0 + x*u**2 - 1/2*u**5 - 1/2*u = 0.
-1, 0, 1
Let a(h) = 6*h**2 - 2*h - 10. Let n be ((-25)/4)/(-5)*-4. Let c(r) = 13*r**2 - 3*r - 21. Let m(x) = n*a(x) + 2*c(x). Factor m(u).
-4*(u - 2)*(u + 1)
Let o = -28 + 33. Let r(s) be the second derivative of -100*s**4 + 160/3*s**3 + 3*s + 100*s**o + 0 - 16*s**2 - 125/3*s**6. Let r(u) = 0. Calculate u.
2/5
Let u(k) be the third derivative of -k**6/90 - 4*k**5/45 - 5*k**4/18 - 4*k**3/9 - 23*k**2. Factor u(s).
-4*(s + 1)**2*(s + 2)/3
Let k(z) be the second derivative of -z**7/840 + z**6/240 + z**5/20 + z**4/3 + 4*z. Let m(w) be the third derivative of k(w). Let m(t) = 0. What is t?
-1, 2
Suppose -5*j**3 - 145*j - 2*j**2 + 150*j + 2*j**2 = 0. Calculate j.
-1, 0, 1
Let n(x) be the second derivative of -x**9/20790 + x**8/36960 - x**4/6 - 2*x. Let c(i) be the third derivative of n(i). Solve c(k) = 0.
0, 1/4
Let t(v) be the first derivative of -4*v**3/3 + 4*v**2 - 3. Factor t(c).
-4*c*(c - 2)
Let h(r) be the second derivative of r**7/294 - r**5/70 + r**3/42 - 11*r. Solve h(j) = 0 for j.
-1, 0, 1
Factor 0*r - 3*r - r + 2*r**2 + 2*r.
2*r*(r - 1)
Let x = 3 - 3. Let t be (x + 0)*(-5)/10. Let t*k**2 - 2*k**2 + 4*k**2 = 0. Calculate k.
0
Let j(w) be the first derivative of w**7/14 + w**6/10 - 3*w**5/20 - w**4/4 + 3*w + 2. Let q(m) be the first derivative of j(m). Factor q(y).
3*y**2*(y - 1)*(y + 1)**2
Let o(y) be the third derivative of y**5/210 + y**4/21 + 4*y**3/21 - 7*y**2. Find q, given that o(q) = 0.
-2
Let n(t) = t**3 + 11*t**2 + 9*t - 11. Let j be n(-10). Let o be j*(144/20)/(-6). Factor -8*k + 16/5 - o*k**3 + 28/5*k**2.
-2*(k - 2)**2*(3*k - 2)/5
Suppose -2*t + 6 = 3*w, 0 = -2*t - 2*w + 4 - 0. Factor t - 1/3*n**4 + 2/3*n**3 + 0*n - 1/3*n**2.
-n**2*(n - 1)**2/3
Let x(j) be the third derivative of j**8/504 + j**7/105 - j**6/12 + 17*j**5/90 - j**4/6 + 60*j**2. Let x(t) = 0. Calculate t.
-6, 0, 1
Find n, given that 5*n**3 - n**3 + 5*n - n - 8*n**2 = 0.
0, 1
Let c = -18 + 16. Let r be 5 - 2 - 0/c. Solve -8/3*i**r + 0*i + 35/3*i**5 + 31/3*i**4 + 0 - 4/3*i**2 = 0 for i.
-1, -2/7, 0, 2/5
Let u be (-3 - (0 + -5)) + -2. Suppose u = 5*x - x. Factor -1/4*n**2 + 0 + n**3 + x*n.
n**2*(4*n - 1)/4
Let p be (-11 + -1 - -2)*(2 + -6). Determine a, given that -686/5*a**5 + 16/5 + 188*a**2 + 392*a**4 - 406*a**3 - p*a = 0.
2/7, 1
Let h(c) be the second derivative of -3*c**5/20 - c**4/4 + c**3/2 + 3*c**2/2 - 5*c. Let h(z) = 0. What is z?
-1, 1
Let r(v) = 9*v**2 + 17*v + 65. Let u(d) = -8*d**2 - 18*d - 66. Let k(j) = -6*r(j) - 7*u(j). Factor k(t).
2*(t + 6)**2
Suppose -r = 2*k - 22, -5*k + 7 = -4*r + 56. Let q be (-72)/21 - r/(-4). Determine p so that 2/7*p**2 - 6/7*p**3 + 0*p + q*p**4 + 0 = 0.
0, 1/2, 1
Determine v so that -3/5 + 1/5*v**2 - 2/5*v = 0.
-1, 3
Let l be -3*8/(-12) + 8/(-4). Factor l*h + 0*h**2 + 4/3*h**3 + 0 + 10/3*h**4.
2*h**3*(5*h + 2)/3
Let g(y) be the second derivative of y**8/840 + 2*y**7/525 + y**6/300 + y**2/2 + y. Let i(t) be the first derivative of g(t). Let i(b) = 0. What is b?
-1, 0
Let d(x) be the first derivative of x**2/2 + 3. Let h be d(4). Determine i, given that -3*i**3 - i**4 - i**h + 5*i**3 = 0.
0, 1
Let x(h) = 2*h - 15. Let w be x(10). Suppose -w*u - 25 = 0, -n - 2*u - 226 = -5*n. Factor 81/4*j**4 + 4 - 24*j - 54*j**3 + n*j**2.
(3*j - 2)**4/4
Let m = 6 - 6. Suppose -s = -c + 2*s + 10, -2*c - 4*s = m. Solve -4*y**2 + 2*y**c + 4*y**3 + 2 + 0*y**4 - 2*y**5 + 0*y**3 - 2*y = 0.
-1, 1
Suppose -a = -4*a. Let y(m) = m**2 - m. Let h be y(a). Factor 2/7*t**5 + 0*t + 0*t**2 + 0*t**3 + h - 2/7*t**4.
2*t**4*(t - 1)/7
Let v(k) be the first derivative of -k**7/3360 - k**6/480 - k**5/240 - 5*k**3/3 - 1. Let p(a) be the third derivative of v(a). Factor p(d).
-d*(d + 1)*(d + 2)/4
Let p be (-322)/(-49) - -1*(4 + -6). Suppose -8/7*n + 0 + p*n**2 - 2*n**3 = 0. What is n?
0, 2/7, 2
Let t(g) be the second derivative of g**4/114 + 2*g**3/57 + 38*g. Solve t(h) = 0.
-2, 0
Let l(u) be the first derivative of 13/7*u**2 - 6 + 16/7*u**3 + 4/7*u + 9/14*u**4. Suppose l(y) = 0. What is y?
-2, -1/3
Let v = -49 + 49. Let c(p) be the third derivative of 0*p**4 + v*p - 1/150*p**5 + 3*p**2 + 0 + 1/15*p**3. Find w, given that c(w) = 0.
-1, 1
Let z(w) be the first derivative of 4/3*w - w**2 + 2/9*w**3 - 8. Factor z(t).
2*(t - 2)*(t - 1)/3
Suppose -25*i**5 - 1555*i**3 + 983*i**2 - 378*i**2 - 3550*i**2 - 2200*i - 500 - 335*i**4 = 0. What is i?
-5, -2, -1, -2/5
Let w(t) = 18*t**4 + 6*t**2 - 9*t. Let f(d) = d**4 + d**2 - d. Let h(m) = -15*f(m) + w(m). Find j such that h(j) = 0.
-2, 0, 1
Let g(m) = 9*m**3 + 3*m**2 + 12*m + 12. Let t(o) = o**3 + o + 1. Let r(x) = g(x) - 12*t(x). Factor r(u).
-3*u**2*(u - 1)
Suppose -4*i + 3 = -17. Factor 5*g + 2*g**2 - 2*g - i*g.
2*g*(g - 1)
Let v be (-376)/(-141)*2/4. Factor 2/3*w**2 - 2*w + v.
2*(w - 2)*(w - 1)/3
Let a be (-8 + 11)*(-1)/(-1). Let p(n) be the second derivative of 1/20*n**5 + 1/8*n**4 + 2*n + 1/6*n**a + 0 + 1/120*n**6 + 1/8*n**2. Factor p(i).
(i + 1)**4/4
Let d = 12 + -10. Suppose -5*x - 2*y = -30, -d*x + y = -0*y - 3. Factor -12/7*n**3 - 2/7*n + 0 - 8/7*n**2 - 8/7*n**x - 2/7*n**5.
-2*n*(n + 1)**4/7
Let b(i) be the first derivative of i**4/16 - i**3/6 - i**2/8 + i/2 - 5. What is p in b(p) = 0?
-1, 1, 2
Find w, given that -152*w**2 + 4 - 5*w**5 + 26 - 10*w**4 + 172*w**2 + 12*w**3 - 65*w + 18*w**3 = 0.
-3, -2, 1
Let n(p) be the third derivative of p**8/560 + p**7/168 + p**6/360 - p**5/120 - p**3/2 + p**2. Let s(y) be the first derivative of n(y). Factor s(h).
h*(h + 1)**2*(3*h - 1)
Solve 0*t + 0 + 2/3*t**4 - 2/3*t**2 - 4/3*t**3 + 4/3*t**5 = 0.
-1, -1/2, 0, 1
Let c(b) be the second derivative of -b**7/126 + 2*b**6/45 - b**5/15 - 20*b. Solve c(m) = 0 for m.
0, 2
Let y(c) be the first derivative of -c**8/168 + c**7/105 + c**6/60 - c**5/30 - c**2 + 2. Let r(l) be the second derivative of y(l). Factor r(m).
-2*m**2*(m - 1)**2*(m + 1)
Let a(m) = -5*m + 65. Let j be a(13). Factor -2/7*w**4 - 4/7*w**3 + 0 - 2/7*w**2 + j*w.
-2*w**2*(w + 1)**2/7
Let k = 364/5 - 72. Suppose k*q + 0 - 2/5*q**2 = 0. What is q?
0, 2
Suppose 3*o + 6 = 6*o. Let r(s) be the first derivative of 1/2*s - o - 1/6*s**3 - 1/8*s**4 + 1/4*s**2. Factor r(q).
-(q - 1)*(q + 1)**2/2
Let v be (-25)/(-30) + 2/(-3). Let u = 1/12 + v. Factor 1/4*o**4 + 1/4*o**3 + 0*o - 1/4*o**5 - u*o**2 + 0.
-o**2*(o - 1)**2*(o + 1)/4
Let s = 2/15 - -4/15. Let l(n) be the first derivative of 0*n**2 + 0*n**4 + 0*n + 0*n**3 + 1/3*n**6 - s*n**5 + 1. Let l(y) = 0. What is y?
0, 1
Suppose -i = 4*y + 11, 0*i = -2*i + y + 14. Suppose i*r + 0*r - 15 = 0. Let d + d**r - 2*d**3 + 0*d + d**5 - d**3 = 0. What is d?
-1, 0, 1
Suppose -4*x - 6 = -2*x, x - 9 = -4*n. Let d(i) be the first derivative of -2/27*i**n - 2/9*i**2 - 2 + 0*i. Determine r, given that d(r) = 0.
-2, 0
Let a(v) = -4*v**4 - 9*v**3 + 8*v**2 + 12*v + 2. Let c(u) = -3*u**4 - 9*u**3 + 9*u**2 + 13*u + 2. Let s(d) = 4*a(d) - 3*c(d). Factor s(o).
-(o - 1)*(o + 1)**2*(7*o + 2)
Let w(c) be the third derivative of c**5/20 - c**4/8 - c**3 + 5*c**2. Factor w(s).
3*(s - 2)*(s + 1)
Let f = 4 - 1. Find c, given that 4/3*c**2 + 2/3*c**f + 0 + 2/3*c = 0.
-1, 0
Suppose g - 4 = 2*g, -2*g - 23 = -3*z. Suppose 3 = 5*l - 7. What is o in 2*o**3 - l*o + 4*o - 3*o**3 - 3*o**3 + 2*o**z = 0?
-1, 0, 1
Factor 3*p + 2*p**2 - 8*p**2 + 4 + 10*p**2 - 11*p.
4*(p - 1)**2
Suppose -5*z + 3*v = -4*z - 8, -4*z + 5*v + 18 = 0. Let r = 278/5 - 829/15. Factor 