 = 0. What is j?
-1, 0, 1
Let b be (-13)/(-21) + (-4)/60*5. Factor 2/7*k**2 + 0*k + b*k**4 - 4/7*k**3 + 0.
2*k**2*(k - 1)**2/7
Let 0 + 1/5*u**3 + 0*u + 0*u**4 + 0*u**2 - 1/5*u**5 = 0. Calculate u.
-1, 0, 1
Let g(x) be the first derivative of x**3/4 - 9*x**2/8 + 10. Suppose g(h) = 0. Calculate h.
0, 3
Let w be (-6)/(-9) + (-11)/3. Let h = 0 - w. Factor 0*m**3 + m**4 + m**3 - 2*m - 1 + m**h.
(m - 1)*(m + 1)**3
Let l(j) be the third derivative of j**7/3780 - 7*j**6/1620 + j**5/36 - j**4/12 - 5*j**3/3 - 2*j**2. Let k(g) be the first derivative of l(g). Factor k(y).
2*(y - 3)**2*(y - 1)/9
Factor 0*k + 1/4 - 1/4*k**2.
-(k - 1)*(k + 1)/4
Let p be ((-1 + 0)*7)/(-1). Let q = p + -3. Factor 2 - u**2 + 3*u + 0 - q*u.
-(u - 1)*(u + 2)
Let q(f) = -3*f**3 + f**2 - 8*f - 5. Let j be (1/(-1))/(-2)*-10. Let z(k) = -3*k**3 + 2*k**2 - 7*k - 4. Let h(m) = j*z(m) + 4*q(m). Find t, given that h(t) = 0.
0, 1
Let n(q) = q**3 + 7*q**2 + 5*q - 1. Let x be n(-6). Suppose -x*z = -3*z. Factor z*u**2 - 4*u + 2*u + u + u**2.
u*(u - 1)
Let c = 1591/9 + -355/2. Let i = -2/9 - c. Find g such that 9/2*g**3 + 7/2*g + i + 15/2*g**2 = 0.
-1, -1/3
Let u(h) = 6*h**3 - 2*h**2 + h. Let t be u(1). Suppose -n + 5*b = -t, 2*n - 3*b = 4 + 6. Factor -8*k**4 + 0*k - k**2 + 7/2*k**n + 11/2*k**3 + 0.
k**2*(k - 1)**2*(7*k - 2)/2
Let u(z) be the third derivative of -2*z**2 + 0*z + 0 - 1/60*z**5 - 1/120*z**6 - 1/630*z**7 + 0*z**3 - 1/72*z**4. Factor u(o).
-o*(o + 1)**3/3
Let v(c) be the second derivative of 1/35*c**6 - 1/98*c**7 + 0*c**3 + 0*c**4 + 2*c + 0 + 0*c**2 - 3/140*c**5. Factor v(a).
-3*a**3*(a - 1)**2/7
Let g(n) be the third derivative of 0*n**3 + 1/15*n**7 + 0*n + 3/20*n**6 + 0 + 1/15*n**5 + 0*n**4 + 5*n**2. Suppose g(b) = 0. Calculate b.
-1, -2/7, 0
Factor 2*j**3 - 984*j**4 - 32 + 982*j**4 + 16*j**2 - 2*j**3.
-2*(j - 2)**2*(j + 2)**2
Let k(i) be the second derivative of i**4/48 - i**3/3 + 2*i**2 - 11*i. Factor k(v).
(v - 4)**2/4
Factor 2*b**3 + 4*b**3 + 0*b**3 + 4*b**5 + 8*b**4 - 2*b**3.
4*b**3*(b + 1)**2
Let q = -12 - -97/8. Let v(c) be the third derivative of -2*c**2 + 0 + 1/3*c**3 - 1/30*c**5 + q*c**4 + 0*c - 1/40*c**6. Factor v(u).
-(u - 1)*(u + 1)*(3*u + 2)
Suppose -1 + 22 = -3*x. Let t(w) = -2*w**4 + 5*w**2. Let h(f) = -5*f**4 - f**3 + 11*f**2. Let n(c) = x*t(c) + 3*h(c). Factor n(l).
-l**2*(l + 1)*(l + 2)
Let n(s) be the first derivative of -s**6/1440 + s**4/96 + 2*s**3/3 - 6. Let b(f) be the third derivative of n(f). Determine q so that b(q) = 0.
-1, 1
Let q(h) be the second derivative of -h**7/42 + h**5/10 - h**3/6 - 8*h. Factor q(w).
-w*(w - 1)**2*(w + 1)**2
Let q(z) = z**3 - z**2 - z + 1. Let g(u) = -7*u**3 - 5*u**2 + 4*u + 8. Let n(d) = g(d) + 4*q(d). Factor n(i).
-3*(i - 1)*(i + 2)**2
Let u(n) be the third derivative of n**5/48 + 5*n**4/8 + 15*n**3/2 + 14*n**2. Factor u(k).
5*(k + 6)**2/4
Let z be (19/(-6))/((-14)/(-28)). Let x = -6 - z. Factor 0 + 0*n - x*n**2.
-n**2/3
Let t = 851/258 - -1/645. Let c = -29/10 + t. Factor 0 - c*n + 2/5*n**2.
2*n*(n - 1)/5
Let 3*m**2 - m**3 - 17 - 12 + 30 - 3*m = 0. Calculate m.
1
Let i be (4 - 5)*0/1. Let i + 0*d - 2/13*d**3 - 2/13*d**4 + 2/13*d**5 + 2/13*d**2 = 0. What is d?
-1, 0, 1
Suppose s + s = 30. Suppose -12*i - 6 = -s*i. Factor 0 + 0*v**i - 1/5*v**3 + 1/5*v.
-v*(v - 1)*(v + 1)/5
Let r(j) be the first derivative of j + 1/90*j**6 - 1/60*j**5 + 0*j**2 - 2 - 1/36*j**4 + 1/18*j**3. Let u(i) be the first derivative of r(i). Factor u(s).
s*(s - 1)**2*(s + 1)/3
Let t = 24 + -21. Suppose 9*w = t*w. Factor 2/3 - 1/3*r**3 + r + w*r**2.
-(r - 2)*(r + 1)**2/3
Suppose -20 = -0*f - 4*f. Factor -2*o**2 + 3*o**5 + o**5 + 2*o**4 - 3*o**f - o**3.
o**2*(o - 1)*(o + 1)*(o + 2)
Suppose -43 = -4*q - 27. Solve 0 + 2/7*m**2 - 2/7*m**q + 2/7*m**5 + 0*m - 2/7*m**3 = 0.
-1, 0, 1
Let l(r) = 4*r**3 - 12*r**2 - 36*r - 17. Let h(o) = -36*o**3 + 108*o**2 + 324*o + 152. Let i(z) = 3*h(z) + 28*l(z). Factor i(w).
4*(w - 5)*(w + 1)**2
Let n(r) be the first derivative of 9 - 1/3*r + 0*r**2 + 1/9*r**3. Factor n(m).
(m - 1)*(m + 1)/3
Let r(p) = -5*p**4 - p**3 - p**2 - 5*p - 3. Let f(q) = 19*q**4 + 3*q**3 + 3*q**2 + 19*q + 11. Let u(l) = -6*f(l) - 22*r(l). Solve u(b) = 0.
-1, 0, 1
Determine j so that 15/7*j**3 + 0 + 3/7*j**4 + 24/7*j**2 + 12/7*j = 0.
-2, -1, 0
Let z(r) be the second derivative of r**4/90 + r**3/45 + 6*r. Factor z(s).
2*s*(s + 1)/15
Let b be 2/(-6)*6/(-4). Suppose -81 = -40*n + 13*n. Let 0*f + 0 + f**4 - 1/2*f**n - b*f**2 = 0. What is f?
-1/2, 0, 1
Let f(i) be the third derivative of -i**8/336 - i**7/70 - i**6/120 + i**5/20 + i**4/12 + 9*i**2. Suppose f(k) = 0. Calculate k.
-2, -1, 0, 1
Let q(d) be the third derivative of d**7/175 + d**6/60 + d**5/75 + 7*d**2. Factor q(t).
2*t**2*(t + 1)*(3*t + 2)/5
Let x be 2*(2 - 0)/14. Suppose 3*o - 3*y = -2*y + 17, o = -4*y - 16. Factor -2/7*i - x*i**2 + 2/7*i**o + 0 + 2/7*i**3.
2*i*(i - 1)*(i + 1)**2/7
Let j(o) be the third derivative of -o**5/120 - o**4/24 - o**3/12 - 5*o**2. Solve j(k) = 0.
-1
Let n = 65 + -1169/18. Let l(j) be the second derivative of 0 - n*j**4 - j + 0*j**2 + 1/18*j**3 + 1/60*j**5. Factor l(o).
o*(o - 1)**2/3
Factor 0*i**3 + 6*i**2 - 6 + 147*i - 150*i + 3*i**3.
3*(i - 1)*(i + 1)*(i + 2)
Let u = -11 + 15. Determine i so that 7*i + 2 - 2*i**3 + 8*i**2 + 3*i + u*i**3 + 2 = 0.
-2, -1
Let i(t) = 6*t**2 + 3*t + 2. Let c be i(-1). Let p(k) be the second derivative of 0*k**3 + 0 + 0*k**c - 1/75*k**6 + 3*k + 1/30*k**4 + 0*k**2. Factor p(g).
-2*g**2*(g - 1)*(g + 1)/5
Suppose 33 = 3*r - 0. Let b = -7 + r. Solve 2 - 6*k**2 + 0 - b + 6*k + 2*k**3 = 0.
1
Let g(b) be the second derivative of 0*b**2 + 0 + 0*b**3 + 4*b + 1/20*b**5 - 1/12*b**4. Find n, given that g(n) = 0.
0, 1
Let r = 381 - 5713/15. Let a(y) be the second derivative of y + r*y**3 + 1/30*y**4 + 0 + 1/5*y**2. Factor a(z).
2*(z + 1)**2/5
Let s(a) be the first derivative of -6/5*a**2 + 1/5*a + 3*a**3 - 27/10*a**4 + 2. Factor s(g).
-(3*g - 1)**2*(6*g - 1)/5
Let u be ((-24)/180*3)/((-2)/20). Factor -1/4*f**5 + 0 + 0*f**3 + 1/4*f + 1/2*f**2 - 1/2*f**u.
-f*(f - 1)*(f + 1)**3/4
Let i(z) be the first derivative of 4*z**6/27 + 2*z**5/15 - 5*z**4/18 - 2*z**3/9 + z**2/9 - 6. Find s such that i(s) = 0.
-1, 0, 1/4, 1
Suppose 3*t**3 + 3*t**2 + 3*t**3 - 2*t**4 - 3*t**2 = 0. What is t?
0, 3
Let r(a) be the third derivative of 2*a**7/105 + 7*a**6/30 + 16*a**5/15 + 2*a**4 - 10*a**2 + 2*a. Find u, given that r(u) = 0.
-3, -2, 0
Let w(g) be the first derivative of -2*g**5/15 + g**4/2 - 2*g**3/3 + g**2/3 - 3. Factor w(y).
-2*y*(y - 1)**3/3
Let g(f) = f**2 - 7*f + 5. Let n be g(7). Find d such that -2*d**2 - 2*d + 3*d + n*d = 0.
0, 3
Let -1/3 + 1/3*o**2 + 1/3*o**3 - 1/3*o = 0. What is o?
-1, 1
Let p(l) be the first derivative of -l**4/4 + 5*l**3/3 - 5*l**2/2 + 6*l - 1. Let m be p(4). Factor -8 - 8*q - 2*q**2 + 0*q**2 + 0*q + 0*q**m.
-2*(q + 2)**2
Let -9 - 12 + 20 + 2*q - q**2 = 0. Calculate q.
1
Let t be (-3)/15 - 161/(-35). What is f in -24/5*f + 2/5*f**5 + 16/5 - 12/5*f**4 - 4/5*f**2 + t*f**3 = 0?
-1, 1, 2
Let m = -1787/9 - -199. Let q be (-2)/4 + (-1)/(-2). Factor q*a - m*a**2 + 2/9*a**3 + 0.
2*a**2*(a - 2)/9
Find p such that 1/3*p**3 + 2 + 4/3*p**2 - 11/3*p = 0.
-6, 1
Let w be (2 - 2)/(4 - 2). Let g(c) be the second derivative of c**2 + w - 3*c + 1/12*c**4 - 1/2*c**3. Factor g(f).
(f - 2)*(f - 1)
Let m be (-12)/(-5) - (-18)/(-45). Let q(h) be the second derivative of -1/30*h**4 + 0 - m*h + 0*h**2 + 0*h**3. Solve q(v) = 0.
0
Let m(y) be the second derivative of y**9/45360 + y**8/20160 - y**7/7560 - y**6/2160 - y**4/12 - 4*y. Let u(v) be the third derivative of m(v). Factor u(d).
d*(d - 1)*(d + 1)**2/3
Let f be 3/9*(-6)/2. Let q = 3 + f. Factor c**4 + 3*c**q - 3*c**2.
c**4
Let i(t) = 2*t**2 - 4. Let h be i(2). What is m in 8*m - 8*m - 2*m**h + 2*m**2 = 0?
-1, 0, 1
Let q(u) = 1. Let x(a) = a - 1. Let y be x(3). Let o(k) = 2*k**2 + k + 2 + y*k + k**2 + 2. Let t(j) = -o(j) + 4*q(j). Suppose t(h) = 0. What is h?
-1, 0
Let v(z) be the first derivative of -1/6*z**3 - 1/120*z**6 + z**2 + 1/16*z**5 + 3*z - 1/8*z**4 - 1. Let u(f) be the first derivative of v(f). Factor u(r).
-(r - 2)**3*(r + 1)/4
Let y(r) = 4*r**2 - 2*r + 2. Let o(l) = -13*l**2 + 6*l - 7. Let n(a) = -2*o(a) - 7*y(a). Determine b so that n(b) = 0.
0, 1
Let s(a) = 4*a**3 + 4 + a**4 + 2*a**2 - 3*a**2 + 4*a*