/180 + y**4/36 + y**3/18 + 7*y**2/2 - 6. Let x(d) be the second derivative of u(d). Factor x(a).
(a + 1)**2/3
Let f(l) be the second derivative of l**7/63 - l**6/45 - l**5/15 + l**4/9 + l**3/9 - l**2/3 + 7*l. Let f(m) = 0. Calculate m.
-1, 1
Let o = -397 - -399. Factor 15/2*v**o + 2 - 7*v - 9/4*v**3.
-(v - 2)*(3*v - 2)**2/4
Let z(c) = -8*c**3 + 8*c**2 + 3*c - 3. Let p(i) = 20*i**3 - 20*i**2 - 8*i + 8. Let y(k) = 5*p(k) + 12*z(k). Factor y(m).
4*(m - 1)**2*(m + 1)
Let r = 11137/20 + -557. Let n = r - -67/180. What is x in 0*x**2 - 2/9*x + n*x**3 + 0 = 0?
-1, 0, 1
Let b(l) be the first derivative of l**6/18 + l**5/15 - l**4/12 - l**3/9 + 5. Factor b(k).
k**2*(k - 1)*(k + 1)**2/3
Let x(g) = -8*g**5 - 5*g**4 + 11*g**3 - 5*g**2 - 8*g. Let o(v) = -7*v**5 - 4*v**4 + 10*v**3 - 4*v**2 - 7*v. Let u(y) = 5*o(y) - 4*x(y). Solve u(d) = 0 for d.
-1, 0, 1
Let v = 6 - 3. Suppose 4 = v*i - 5. Let -p**2 + i*p**5 + p**4 - 3*p**3 + 0*p**4 + 0*p**3 = 0. What is p?
-1, -1/3, 0, 1
Let m(a) = a - 6. Let u be m(10). Suppose -5*r - 4*q + u = -10, 3*r = 4*q + 2. Determine s so that -2/5*s**3 - 2/5*s - 4/5*s**r + 0 = 0.
-1, 0
Let d(n) be the second derivative of 1/3*n**4 - n + 0 + 11/10*n**5 + 0*n**2 + 0*n**3. Let d(r) = 0. Calculate r.
-2/11, 0
Let a be (-13 - 1)*(-10)/20. Let j(f) be the third derivative of 0*f**4 + 0*f**3 - 1/120*f**5 + 0 + 3*f**2 + 0*f + 1/840*f**a - 1/480*f**6. Factor j(d).
d**2*(d - 2)*(d + 1)/4
Let k = -24 + 24. Factor k*p + 0*p**3 + 1/3 - 2/3*p**2 + 1/3*p**4.
(p - 1)**2*(p + 1)**2/3
Let k be ((1/(-3))/1)/(4/(-36)). Suppose 0*m + 2/9*m**5 + 0 - 2/3*m**k + 0*m**4 - 4/9*m**2 = 0. Calculate m.
-1, 0, 2
Let x = -1/45 + 56/495. Let y(b) be the first derivative of 1/33*b**6 + 0*b**2 + 0*b - 4 + 0*b**3 - x*b**4 - 2/55*b**5. Solve y(d) = 0.
-1, 0, 2
Suppose -p - 2 = -3*g - 17, -4*g = -5*p + 20. Let i be (-3)/(-2) - (-9)/(-6). Solve i*o + 1/2*o**3 + p - 3/2*o**2 = 0.
0, 3
Let o(a) be the third derivative of a**7/840 - a**5/80 - a**4/48 - 4*a**2 - a. Suppose o(z) = 0. What is z?
-1, 0, 2
Let t = 1 + -4. Let q be 14/7*(-4)/t. Let -2/3*o**3 - 8/3*o + q*o**2 + 0 = 0. Calculate o.
0, 2
Let n be ((36/(-8))/(-9))/(10/16). Factor -2/5*v**4 + 2/5 - 4/5*v**3 + n*v + 0*v**2.
-2*(v - 1)*(v + 1)**3/5
Factor -7*f + 15*f**4 + 4 - 16*f**3 + 9*f - 4 - f**2.
f*(f - 1)*(3*f + 1)*(5*f - 2)
Let b = 3218 - 576020/179. Let y = 348/895 + b. What is i in -4/5 + 0*i**2 + 6/5*i - y*i**3 = 0?
-2, 1
Let j(i) be the first derivative of i**7/2520 - i**6/540 + i**5/360 + i**3/3 + 3. Let y(r) be the third derivative of j(r). Find d such that y(d) = 0.
0, 1
Let j(y) = -y. Let d be j(-2). Let i(p) be the first derivative of -1/7*p**2 - 2/21*p**3 + 0*p + 2/35*p**5 - d + 1/14*p**4. Let i(u) = 0. What is u?
-1, 0, 1
Let q(a) be the first derivative of a**3/6 - a/2 + 12. What is d in q(d) = 0?
-1, 1
Let v(m) = -5*m**2 + 5*m + 10. Let r(w) be the second derivative of w**4/12 - w**3/6 - w**2 + 3*w. Let d(o) = 11*r(o) + 2*v(o). Factor d(h).
(h - 2)*(h + 1)
Let a(x) be the second derivative of -1/105*x**6 + 1/35*x**5 + 0 + 0*x**3 - 1/42*x**4 - 2*x + 0*x**2. Factor a(k).
-2*k**2*(k - 1)**2/7
Let h be 1 + 14/3 + -5. Factor 0 + 0*m + h*m**2 - 2/3*m**5 + 2*m**4 - 2*m**3.
-2*m**2*(m - 1)**3/3
Factor 4*z**3 - 57 - 4*z**2 - 12*z**2 + 49 + 20*z.
4*(z - 2)*(z - 1)**2
Let u(o) be the third derivative of -o**5/90 - o**4/36 + 2*o**3/9 + 9*o**2. Factor u(n).
-2*(n - 1)*(n + 2)/3
Let i = 13366/33 + -405. Let t(x) be the third derivative of -4/33*x**3 + x**2 - i*x**4 + 0*x + 0 - 1/330*x**5. Factor t(u).
-2*(u + 2)**2/11
Let t(y) = -y**2 - 7*y + 4. Let f be t(-7). Let u be (8 + -2)*(-1)/(-2). Find l, given that -4*l**f + 2*l**3 - l**3 + u*l**4 = 0.
0, 1
Let z(b) be the second derivative of -b**7/280 - b**6/60 + b**3/3 + 7*b. Let h(i) be the second derivative of z(i). Factor h(r).
-3*r**2*(r + 2)
Let o(x) be the third derivative of -x**6/120 + x**5/60 + 20*x**2. Solve o(q) = 0 for q.
0, 1
Let m(q) be the second derivative of q**5/10 - q**4/2 - 2*q**3 + 8*q**2 + 46*q. Let m(c) = 0. Calculate c.
-2, 1, 4
Let g(u) be the third derivative of -1/9*u**3 + 0 + 0*u + 1/90*u**5 + 0*u**4 + 3*u**2. Factor g(d).
2*(d - 1)*(d + 1)/3
Let i(p) be the first derivative of 0*p + 2 + 3*p**3 - 3/2*p**2 + 3*p**4. Let i(l) = 0. Calculate l.
-1, 0, 1/4
Let v(m) be the third derivative of m**8/70560 - m**7/17640 - m**5/20 + 2*m**2. Let s(p) be the third derivative of v(p). Find n, given that s(n) = 0.
0, 1
Let v(o) be the third derivative of o**8/6720 - o**7/2520 - o**4/24 - o**2. Let f(h) be the second derivative of v(h). Factor f(a).
a**2*(a - 1)
Let x(z) be the second derivative of -4*z**7/21 + 7*z**6/5 - 37*z**5/10 + 4*z**4 - 4*z**3/3 - 4*z. Determine n so that x(n) = 0.
0, 1/4, 1, 2
Suppose 0 = a - 5 + 1. Suppose -a*f + 7*f = 6. Let f + 3*h + 3*h - 3*h + h**2 = 0. What is h?
-2, -1
Let j(y) be the second derivative of 3/100*y**5 - 2/15*y**3 + 1/75*y**6 - 1/15*y**4 + 0 + y - 1/210*y**7 + 0*y**2. Factor j(l).
-l*(l - 2)**2*(l + 1)**2/5
Let j(p) be the third derivative of p**7/315 + 7*p**6/900 - p**5/150 - 7*p**4/180 - 2*p**3/45 + 2*p**2. Suppose j(a) = 0. Calculate a.
-1, -2/5, 1
Factor 2/13*o**5 + 0*o + 0 - 50/13*o**2 + 18/13*o**4 + 30/13*o**3.
2*o**2*(o - 1)*(o + 5)**2/13
Suppose -4*a = -3*a. Let v(z) be the first derivative of -1/9*z**4 - 2 + 2/45*z**5 + 2/9*z**2 + a*z**3 - 2/9*z. Factor v(u).
2*(u - 1)**3*(u + 1)/9
Let d = 31 + -29. Let r(l) be the first derivative of -l**d + 1 + 0*l + 2/3*l**3. Factor r(s).
2*s*(s - 1)
Let n(a) be the first derivative of 4*a**5/25 + 7*a**4/10 + 6*a**3/5 + a**2 + 2*a/5 - 3. Factor n(q).
2*(q + 1)**3*(2*q + 1)/5
Let b = -13/2 + 41/6. Determine j, given that 1/3*j**5 + 0*j**4 + 0*j + 0 - b*j**3 + 0*j**2 = 0.
-1, 0, 1
Let q(v) = v**3 + 4*v**2 - 3*v. Let k be q(-4). Suppose 0*n - 3*n = -k. Let 4*o**2 + 2 - n*o**5 + 4*o**3 - 2*o**4 - 12*o**2 + 8*o**4 = 0. Calculate o.
-1, -1/2, 1
Let h(t) be the second derivative of -t**6/75 - t**5/25 + 2*t**3/15 + t**2/5 - 28*t. Factor h(b).
-2*(b - 1)*(b + 1)**3/5
Suppose 2*w - 5*t = -t, 24 = 5*w + 2*t. Let y(i) be the second derivative of -w*i - 1/27*i**3 + 1/54*i**4 + 0*i**2 + 0. Find j, given that y(j) = 0.
0, 1
Let i = 4305/11 - 391. Suppose 2/11*f**3 + i*f**4 + 0 + 2/11*f**5 + 0*f**2 + 0*f = 0. What is f?
-1, 0
Let x = -24 + 24. Find d, given that x + 8/7*d + 10/7*d**4 - 16/7*d**2 - 2*d**3 = 0.
-1, 0, 2/5, 2
Suppose 3*u = -2*g + 7*g + 29, -u - g = 1. Suppose 0 = -h - 3*a - 1, 4*a = 2*h + u*h - 14. Factor -1/2 - 1/2*j**h - j.
-(j + 1)**2/2
What is z in 2/3*z - 1/6*z**3 + 0 + 1/2*z**2 = 0?
-1, 0, 4
Suppose -3*q - 2*q + 4*l = 11, -5*q = -l + 14. Let b be 4 + (q - -2) + -1. Factor 8*x**b + 3 - 8*x - 1 + 0*x.
2*(2*x - 1)**2
Let u be (3/((-36)/8))/((-4)/2). Let 0*q + u - 1/3*q**2 = 0. Calculate q.
-1, 1
Let s be 736/10 + 0 + -2. Let l = -71 + s. Suppose -24/5*o**3 + 9/5*o**4 + 18/5*o**2 + 0*o - l = 0. What is o?
-1/3, 1
Let i(h) = -h**3 - h**2 - h - 6. Let x be i(0). Let q be x/24 - 18/(-40). Factor -q*y**4 + 3/5*y**3 + 0 - 3/5*y**2 + 1/5*y.
-y*(y - 1)**3/5
Let p be ((-484)/55)/(-11) + 8/(-10). Factor -6/7*a + p*a**2 + 4/7 + 2/7*a**3.
2*(a - 1)**2*(a + 2)/7
Suppose 3*c - 16 = -c, 0 = h + 5*c - 20. Let u be (h - (-3 - -1)) + 0. Solve 0 + 1/2*b - 6*b**4 + 13/2*b**3 + 2*b**5 - 3*b**u = 0.
0, 1/2, 1
Let t be ((-3 - -4) + -2)/(-1). Let b = 4 - 2. Factor t - b*x**2 + x**3 - 3*x + x**2 + 4*x - 2*x.
(x - 1)**2*(x + 1)
Let m(l) be the second derivative of -3*l + 1/30*l**5 + 1/18*l**4 + 0*l**2 + 0 - 1/45*l**6 - 1/9*l**3. Factor m(v).
-2*v*(v - 1)**2*(v + 1)/3
Let q(s) be the first derivative of -s**5/80 - s**4/48 - 2*s + 4. Let j(l) be the first derivative of q(l). What is v in j(v) = 0?
-1, 0
Let q(s) be the third derivative of -2*s**7/105 + s**5/15 + 6*s**2. Find l, given that q(l) = 0.
-1, 0, 1
Let v be (0/9)/(0 - -2). Let n(u) be the second derivative of 0*u**3 - u + v*u**2 + 0 - 1/54*u**4. What is d in n(d) = 0?
0
Let g(q) be the second derivative of q**4/36 + q**3/9 + 4*q. Factor g(n).
n*(n + 2)/3
Let d(a) = 16*a - 16. Let s be d(1). Solve s - 3/4*m**3 - 3/2*m + 9/4*m**2 = 0 for m.
0, 1, 2
Suppose 0*l = -5*p - l + 22, -2*p + 5*l - 2 = 0. Suppose -4*y**2 + p*y**2 - 3*y - y**2 - 2 = 0. Calculate y.
-2, -1
Let k(x) = -12*x + 4*x**2 - 3*x**2 + 7*x. Let u(v) = 2*v**2 - 11*