*4 + 0*f. Let x(j) be the first derivative of g(j). Factor x(o).
-o**2
Let y(j) be the first derivative of 0*j - 1/7*j**2 - 2 + 2/21*j**3. Factor y(k).
2*k*(k - 1)/7
Let b(l) be the first derivative of -l**5/450 + l**4/36 - 4*l**3/45 + 3*l**2 - 3. Let u(f) be the second derivative of b(f). Determine r, given that u(r) = 0.
1, 4
Let f(q) be the first derivative of 2*q**5/5 + 7*q**4/6 + 2*q**3/3 - q**2 - 4*q/3 + 2. Factor f(w).
2*(w + 1)**3*(3*w - 2)/3
Let t(q) be the third derivative of 0 + 0*q - 1/12*q**4 + 1/60*q**6 - 2/21*q**3 + q**2 + 1/105*q**5. Let t(f) = 0. What is f?
-1, -2/7, 1
Factor 20/3*k + 4*k**3 - 8*k**2 - 2 - 2/3*k**4.
-2*(k - 3)*(k - 1)**3/3
Let a(b) = b**2 - 8*b + 7. Let i be a(7). Let y(v) be the third derivative of i*v + v**2 - 4/15*v**3 + 0 + 0*v**4 + 3/50*v**5. Factor y(x).
2*(3*x - 2)*(3*x + 2)/5
Let p(j) be the first derivative of -j**8/240 + 3*j**7/280 - j**6/180 - 4*j**3/3 + 5. Let g(q) be the third derivative of p(q). Let g(k) = 0. Calculate k.
0, 2/7, 1
Let j = -274 + 278. Let j*f - 4/3*f**2 - 8/3 = 0. Calculate f.
1, 2
Suppose 0 = -0*l + 4*l. Suppose -h - 1 = l, -m + 2*h = 2*m - 11. Factor -5*o**m + 2*o**3 + 2*o**2 + o**3.
-2*o**2*(o - 1)
Let d be (-1)/3*42/70*-1. Solve -1/5*b + d*b**3 + 1/5*b**4 - 3/5*b**2 + 2/5 = 0.
-2, -1, 1
Suppose -3*k + 30 = 2*k. Suppose -5*u = 20, -4*b + 13 = -b + 2*u. Factor 3*r**2 + r**3 - k*r + b*r + r.
r*(r + 1)*(r + 2)
Let v(t) = t + 12. Let o(r) = -r - 1. Let b(c) = 2*o(c) + v(c). Let d be b(8). Let 5/2*k - 1 + 3/2*k**d = 0. Calculate k.
-2, 1/3
Let i = -3 + 5. Factor 3*l**2 - 2*l**2 - 2*l**i + l**3.
l**2*(l - 1)
Let u(j) be the first derivative of -1/10*j**5 + 2 - 1/15*j**6 + 1/6*j**4 + 0*j**2 + 1/3*j**3 + j. Let i(r) be the first derivative of u(r). Factor i(o).
-2*o*(o - 1)*(o + 1)**2
Factor -19*s + 55*s + 8 - 10*s**2 + 8.
-2*(s - 4)*(5*s + 2)
Let h = 40 - 36. Factor 2/9*d**3 + 2/9*d**2 + 0 - 2/9*d - 2/9*d**h.
-2*d*(d - 1)**2*(d + 1)/9
Let g(r) be the third derivative of r**8/1344 - r**7/140 + 3*r**6/160 - r**5/60 + 22*r**2. Factor g(v).
v**2*(v - 4)*(v - 1)**2/4
Factor -1/7*y**2 + 3/7*y + 0.
-y*(y - 3)/7
Determine q, given that 2/5*q**4 + 0*q + 1/5*q**2 - 3/5*q**3 + 0 = 0.
0, 1/2, 1
Let j(u) be the third derivative of 2/15*u**6 + 0*u - 11/15*u**5 + 2*u**4 - 9*u**2 - 1/105*u**7 + 0 - 3*u**3. Factor j(l).
-2*(l - 3)**2*(l - 1)**2
Suppose 4*w - 37 = -5*l, -16 = -2*w - 0*l - 2*l. Factor 2/5*y**2 + 0*y - 2/5*y**4 + 2/5*y**w + 0 - 2/5*y**5.
-2*y**2*(y - 1)*(y + 1)**2/5
Let w = -2297/5 - -461. Let t be (4/(-3))/(4/(-6)). Factor -2/5 - w*a**4 + 6/5*a**t + 4/5*a - 8/5*a**3.
-2*(a + 1)**2*(2*a - 1)**2/5
Let c(n) be the second derivative of 1/6*n**4 - 1/42*n**7 + 0*n**5 + 1/6*n**3 + 0 - 1/15*n**6 + 0*n**2 - 2*n. Find x, given that c(x) = 0.
-1, 0, 1
Find q, given that 9*q**4 + q**3 - 22*q**4 + 4*q + 11*q**4 - 5*q**3 + 2*q**2 = 0.
-2, -1, 0, 1
Let v = 63 - 63. Let m(j) be the third derivative of -2*j**2 + 1/9*j**3 + 1/18*j**4 + v*j + 0 + 1/90*j**5. Determine c, given that m(c) = 0.
-1
Solve -2/7*o + 0 + 2/7*o**2 = 0 for o.
0, 1
Let v be 4 - 21/9 - -5 - 6. Factor 0*b + 0 + 2/3*b**2 + v*b**3.
2*b**2*(b + 1)/3
Let s be 0/5*1/(-3). Let u(n) be the first derivative of -3/20*n**4 + 1 - 3/25*n**5 - 1/15*n**3 + 0*n - 1/30*n**6 + s*n**2. Determine o, given that u(o) = 0.
-1, 0
Let o(k) = -k**3 + 5*k**2 + 6*k. Let y be o(6). Suppose -2 = b - 2*s, 2*s = -2*b - y + 2. Solve 1/2*i**2 + 1/4*i**4 + 3/4*i**3 + 0 + b*i = 0.
-2, -1, 0
Let l(k) be the third derivative of -k**6/690 - k**5/230 + k**3/69 - 19*k**2. Factor l(h).
-2*(h + 1)**2*(2*h - 1)/23
Let x(n) be the first derivative of 8*n**5/5 + 9*n**4 + 44*n**3/3 - 16*n + 5. What is c in x(c) = 0?
-2, -1, 1/2
Let a(g) = g**3 - 9*g**2 - g + 11. Let x be a(9). Let b be (3 - -2)*1 - 2. Find p such that 4*p - 2*p**b - 8*p**x - 4 + 0*p**3 - 14*p = 0.
-2, -1
Suppose 0 = 2*s, 0 = 5*j + 3*s - 17 - 3. Let -5/3*f - 1/3*f**5 - 10/3*f**3 - 5/3*f**j - 10/3*f**2 - 1/3 = 0. Calculate f.
-1
Let n = 18 + -15. Let k(a) be the first derivative of 2/33*a**n + 1/11*a**2 + 2 - 2/11*a - 1/22*a**4. Determine s so that k(s) = 0.
-1, 1
Let j(c) be the first derivative of -4*c**5/5 + 4*c**3 + 4*c**2 + 8. Solve j(u) = 0.
-1, 0, 2
Let f(w) be the third derivative of w**6/540 - 4*w**3/3 + 5*w**2. Let m(k) be the first derivative of f(k). What is c in m(c) = 0?
0
Let v = -278 + 559/2. Solve 6*s**2 - 3*s**4 + v*s**5 - 3*s**3 - 3 + 3/2*s = 0 for s.
-1, 1, 2
Let f(y) be the first derivative of -2 - 1/2*y**2 + 0*y + 1/3*y**3. Factor f(s).
s*(s - 1)
Let u = 5 + -3. Factor -2*n - 5*n**2 + n**2 + u*n**2.
-2*n*(n + 1)
Let o(n) be the first derivative of -2/21*n**3 - 6 - 2/7*n + 2/7*n**2. Determine a so that o(a) = 0.
1
Let i(f) be the third derivative of f**7/2940 + f**6/1260 + f**3/2 + 2*f**2. Let n(k) be the first derivative of i(k). Let n(j) = 0. Calculate j.
-1, 0
Let p(t) = 12*t**2 + 10*t - 13. Let x = -9 - 13. Let r(q) = -q**2 - q + 1. Let w(k) = x*r(k) - 2*p(k). Find s such that w(s) = 0.
-1, 2
Suppose 0*o = 3*o - 4*i - 9, -15 = -5*o - i. Suppose -7 + 1 = -o*a. Factor -1/4 - 1/4*m**a + 1/2*m.
-(m - 1)**2/4
Let s(u) be the first derivative of 1/2*u**2 + 2/5*u**5 - 2/3*u**3 + 0*u + 0*u**4 - 3 - 1/6*u**6. What is h in s(h) = 0?
-1, 0, 1
Factor 2*a + 6/7*a**2 - 12/7.
2*(a + 3)*(3*a - 2)/7
Let g(n) = -n**3 + n - 1. Let d(t) = 4*t**3 + t**2 - 4*t + 4. Let l(o) = d(o) + 5*g(o). Solve l(y) = 0.
-1, 1
Let y = -6 + -2. Let u be ((-12)/y)/(6/16). Suppose -2 + i + 0 - 3*i + u*i**2 = 0. What is i?
-1/2, 1
Factor -9/5*v**2 + 0 - 12/5*v**3 + 3/5*v.
-3*v*(v + 1)*(4*v - 1)/5
Let l = 3/251 - -170/6777. Let n(p) be the second derivative of -1/45*p**6 + l*p**4 + 1/9*p**2 + 1/189*p**7 + 0 + 2*p - 1/9*p**3 + 1/45*p**5. Factor n(c).
2*(c - 1)**4*(c + 1)/9
Let s(v) = -v**4 + v**2 + v + 1. Let z(f) = -12*f**4 + 4*f**3 + 12*f**2 + 12*f + 16. Let l(b) = 16*s(b) - z(b). Suppose l(g) = 0. What is g?
-1, 0, 1
Factor 0*v**2 + v**3 - 1/2*v**4 - v + 1/2.
-(v - 1)**3*(v + 1)/2
Let x(n) = -6*n**3 + n. Let a be x(1). Let r = a - -7. Let 12 + 0*u + 5 + 1 - 12*u + 2*u**r = 0. Calculate u.
3
Let b(l) be the third derivative of -l**8/6720 + l**7/420 - l**6/60 + l**5/15 + 2*l**2. Let j(f) be the third derivative of b(f). Factor j(s).
-3*(s - 2)**2
Let o(f) = -21*f**4 - 69*f**3 - 84*f**2 - 36*f - 6. Let c(u) = -u**2 + u. Let w(l) = -3*c(l) + o(l). Solve w(n) = 0.
-1, -2/7
Let p(l) be the second derivative of l**4/36 - 2*l**3/9 + 2*l**2/3 - 8*l. Factor p(w).
(w - 2)**2/3
Let f = 118 - 113. Let l(h) be the second derivative of 1/27*h**3 - 1/27*h**4 + 1/90*h**f + 0 - h + 0*h**2. Factor l(d).
2*d*(d - 1)**2/9
Suppose 5*c + 4*c = 18. Determine q, given that 4/5 + 1/5*q**c - 4/5*q = 0.
2
Let b(m) = 19*m**3 - 2*m + 6*m**2 + 6*m**5 - 7*m**5 + 8*m**5. Let s(r) = -r**5 + r**4 - r**3 + r**2 + r. Let o(d) = -b(d) - 6*s(d). Let o(y) = 0. What is y?
-2, -1, 0
Let c be 28/98*(-14)/(-6). Let q(x) be the second derivative of -2/3*x**6 - 25/147*x**7 - 69/70*x**5 - 4/21*x**3 - c*x**4 + 0*x**2 - 2*x + 0. Factor q(z).
-2*z*(z + 1)**2*(5*z + 2)**2/7
Let z = 24 - 14. Factor 2*b**4 - 5*b**4 - 8*b**3 + 11*b**4 + z*b**3.
2*b**3*(4*b + 1)
Let u be (2/21*6)/((-3)/(-6)). Find v such that -2/7*v**2 - 8/7*v - u = 0.
-2
Let j = -1/236 - -2131/1652. Factor -3*p**3 + 6/7 - j*p - 36/7*p**2.
-3*(p + 1)**2*(7*p - 2)/7
Let n(a) be the second derivative of a**5/100 + a**4/20 + a**3/15 + 6*a. Determine m, given that n(m) = 0.
-2, -1, 0
Let g(o) be the second derivative of o + 0*o**3 + 0 + 1/12*o**4 + 1/20*o**5 + 1/120*o**6 + 0*o**2. Let g(i) = 0. What is i?
-2, 0
Let m(a) be the second derivative of a**5/4 + a**4 + a**3/3 + a. Let j(l) = -l**2. Let i(z) = -2*z - 4. Let c be i(-7). Let w(x) = c*j(x) + 2*m(x). Factor w(n).
2*n*(n + 1)*(5*n + 2)
Factor 27*o**2 - 81/2 + 21*o**3 + 1/2*o**5 - 27/2*o + 11/2*o**4.
(o - 1)*(o + 3)**4/2
Let p(d) be the second derivative of d**6/30 + d**5/30 + 7*d**2/2 + d. Let o(r) be the first derivative of p(r). Find q such that o(q) = 0.
-1/2, 0
Suppose 0 = p - 2*r - 2, -2*p + 5*r - 3 = -7. Suppose 2*a = -4*i + 16, -5*a - 7 - 1 = -2*i. Factor 2/7*s**p + a + 0*s - 2/7*s**3.
-2*s**2*(s - 1)/7
Let z be -5 - 16*7/(-14). Let -23/2*p**3 - 4 + 8*p**4 - z*p**2 - 3/2*p**5 + 14*p = 0. What is p?
-1, 1/3, 2
Let s(t) = -2*t**3 + 17*t**2 + 8*t + 12. Let 