0*q**2 - 2/3*q**4 + 0*q + q**3 + 0 - 1/3*q**5.
-q**3*(q - 1)*(q + 3)/3
Factor 8/11 - 2/11*l - 8/11*l**2 + 2/11*l**3.
2*(l - 4)*(l - 1)*(l + 1)/11
Let h be 5/4*(-12 - (-2366)/195). Find x such that -5/6*x**4 + 0 + 0*x + 2/3*x**5 + h*x**3 + 0*x**2 = 0.
0, 1/4, 1
Let k be 30/12 + 1/(-2). Factor 6*c + 3*c**3 - 5*c**2 - 2*c**k - 2*c**2.
3*c*(c - 2)*(c - 1)
Let l(h) be the third derivative of 0*h + 0*h**3 + 0 + 0*h**5 + h**2 + 1/360*h**6 - 1/72*h**4. What is c in l(c) = 0?
-1, 0, 1
Suppose -3*z + 4 + 2 = 0, -2*m - z = -8. Suppose 3*v + m = -4*f, f + 6 + 9 = 4*v. Factor -1/3*w**2 + 0 + 0*w + 1/3*w**v.
w**2*(w - 1)/3
Let c be 4 + -5 + (-83)/(-57). Let d = 4/19 + c. Let 2/3*m - 2/3*m**2 - 2/3*m**3 + d = 0. What is m?
-1, 1
Let k = -1/200945 + 3858173/5827405. Let a = k - -4/29. What is g in a*g**2 - g - 1/5*g**3 + 2/5 = 0?
1, 2
Let s = -259 - -6217/24. Let v(h) be the third derivative of s*h**4 + 0 + 0*h + 0*h**3 - 1/60*h**5 - 2*h**2. Let v(l) = 0. Calculate l.
0, 1
Let g(z) = -z**3 + 6*z**2 - 4*z - 4. Let p be g(4). Factor 0 - 147*o**2 - p + 84*o + 2 - 2.
-3*(7*o - 2)**2
Factor 127*m**5 - 3*m - 3*m**4 + 3*m - 124*m**5.
3*m**4*(m - 1)
Let i(m) = 14*m**3 + 11*m**2 - 3*m + 17. Let k(r) = 5*r**3 + 4*r**2 - r + 6. Let u(g) = -6*i(g) + 17*k(g). Factor u(l).
l*(l + 1)**2
Let l be ((-3)/54*3)/(2/(-4)). Determine p so that -p + p**2 + 1/3 - l*p**3 = 0.
1
Let w(k) be the third derivative of 0*k**4 + 1/60*k**5 + 1/210*k**7 + 0*k + 1/60*k**6 + 0*k**3 + 0 - k**2. What is m in w(m) = 0?
-1, 0
Let m = 13 + -17. Let l = -2 - m. Determine u so that 2/3*u + 2/3*u**l + 0 = 0.
-1, 0
Let v(m) be the second derivative of 0*m**4 + 0*m**2 + 0 + 0*m**3 - 1/21*m**7 - 1/10*m**5 - 6*m - 2/15*m**6. Factor v(w).
-2*w**3*(w + 1)**2
Suppose y = -3*p + 1, 4*p - 3 = 2*y - 3*y. Let t be 48/21 + p/(-7). Find j, given that 3*j**2 - 4*j**t - j**5 + 4*j**3 - 3*j**3 + j**4 = 0.
-1, 0, 1
Let t(m) be the second derivative of -m**6/30 - 3*m**5/20 + 2*m**3/3 + 3*m. Factor t(y).
-y*(y - 1)*(y + 2)**2
Factor 212*n + n**3 - 6*n**3 - 197*n + 10*n**2.
-5*n*(n - 3)*(n + 1)
Let q(g) be the first derivative of -2*g**3/5 - 6*g**2/5 - 28. Determine y so that q(y) = 0.
-2, 0
Let b(y) be the third derivative of y**7/105 + 11*y**6/600 - y**5/50 - y**4/24 + y**3/15 - y**2. Let b(z) = 0. Calculate z.
-1, 2/5, 1/2
Factor -15*f + 6*f**2 + 19*f**2 - 49 - 5*f**3 + 4.
-5*(f - 3)**2*(f + 1)
Let a(s) be the second derivative of 5*s**4/12 - 5*s**3/2 - 3*s. Factor a(u).
5*u*(u - 3)
Solve 2/5*o**5 - 16/5*o - 46/5*o**2 + 14/5*o**4 + 32/5 + 14/5*o**3 = 0 for o.
-4, -1, 1
Determine m so that 2/11 + 12/11*m + 18/11*m**2 = 0.
-1/3
Let y(u) be the first derivative of -1/12*u**4 - 1/9*u**3 - 5 + 0*u**2 + 0*u. Let y(i) = 0. What is i?
-1, 0
Let s(i) be the first derivative of i**3/15 + 5. Solve s(w) = 0.
0
Let n(p) be the first derivative of -p**6/1080 + p**5/180 - p**4/72 + p**3 - 1. Let d(t) be the third derivative of n(t). Determine s so that d(s) = 0.
1
Let f(b) = -6*b - 22. Let z be f(-4). Let a(w) = -w + 4. Let p be a(0). Determine s so that 1 + 4*s**z - s**3 - 3*s + 3*s**2 - p*s**2 = 0.
1
Factor -32/3 - 16/3*a**3 - 64/3*a - 2/3*a**4 - 16*a**2.
-2*(a + 2)**4/3
Let s(l) be the first derivative of l**4/4 + l**3/3 - 3. Factor s(a).
a**2*(a + 1)
Suppose 3*m = o + 16, -2*o + 24 = 2*m - 6*o. Factor 0 - 1/5*d**5 - 3/5*d**3 + 1/5*d**2 + 0*d + 3/5*d**m.
-d**2*(d - 1)**3/5
Suppose 5*z - z + 43 = 3*w, -4*w + 55 = -3*z. Suppose 2*h - 2*a + 3*a - w = 0, 3*h = -5*a + 37. Let 1 - 5/2*v + 1/2*v**3 + 3/2*v**2 - 1/2*v**h = 0. Calculate v.
-2, 1
Let k = 83/231 + -2/77. Suppose -1/6 + k*s - 1/6*s**2 = 0. Calculate s.
1
Let w(s) = 5*s**2 - 10*s - 10. Let m(a) = -4*a**2 + 9*a + 9. Let x(d) = 6*m(d) + 5*w(d). Suppose x(u) = 0. Calculate u.
-2
Let y be -7 - -6 - (-1 + 0). Let p(o) be the second derivative of o - 1/3*o**3 - 1/6*o**4 + y + 0*o**2. Determine u, given that p(u) = 0.
-1, 0
Let k(o) be the second derivative of -o**10/60480 - o**9/10080 - o**8/4480 - o**7/5040 - o**4/6 + 2*o. Let q(w) be the third derivative of k(w). Factor q(a).
-a**2*(a + 1)**3/2
Factor 2/9 + 1/3*j**4 + 5/3*j**2 - 11/9*j**3 - j.
(j - 1)**3*(3*j - 2)/9
Let t = -3071/4 + 770. Solve 0*a + 0 - 3/4*a**3 + t*a**2 = 0 for a.
0, 3
Let c = -32 + 37. Let z(y) be the second derivative of 0*y**3 + 0*y**4 - 1/50*y**c - y + 0 + 0*y**2 - 1/150*y**6. Determine j so that z(j) = 0.
-2, 0
Let p(v) = v**2 + 19*v + 3. Let l be p(-19). Let z(x) be the third derivative of -1/60*x**5 + 0*x + 1/12*x**4 + 0 - 1/6*x**l + 2*x**2. Factor z(g).
-(g - 1)**2
Let j be 4/((-400)/60)*10/(-12). Solve j*t + 1/2*t**2 - 1 = 0.
-2, 1
Let m = 12 + -8. Find z such that -12*z**5 + 6*z**3 - 2*z**4 + 5*z**m + 14*z**2 + 2*z**3 - 17*z**4 + 4*z = 0.
-1, -2/3, -1/2, 0, 1
Suppose -3*a + 2*d = -2*d - 8, 4*a = -3*d - 6. Let t(u) be the first derivative of 1 - 1/6*u**4 + 0*u**2 + 2/9*u**3 + a*u. Factor t(i).
-2*i**2*(i - 1)/3
Let o = -737/10 - -149/2. Solve -o*n**3 + 2/5*n**4 + 0*n**2 + 0*n + 0 = 0 for n.
0, 2
Factor 3/2 - 12*p**2 + 27/4*p**3 + 15/4*p.
3*(p - 1)**2*(9*p + 2)/4
Let p(l) be the third derivative of l**7/1050 - l**5/50 - l**4/15 - l**3/10 + 4*l**2. Factor p(x).
(x - 3)*(x + 1)**3/5
Let a(d) be the first derivative of d**4/18 + 4*d**3/27 + d**2/9 - 17. Suppose a(i) = 0. Calculate i.
-1, 0
Let h = -5 + 9. What is j in -j**3 + 5*j**3 - 2*j**3 - h*j**2 = 0?
0, 2
Let y = 4531/7 - 647. Let z(l) = -l - 3. Let m be z(-5). Factor 2/7*r + 0 + 2/7*r**m - y*r**3 - 2/7*r**4.
-2*r*(r - 1)*(r + 1)**2/7
Let b(p) = 6*p - 17. Let z be b(3). Let u(l) be the first derivative of -z - 1/6*l**6 - 15/16*l**4 + 13/20*l**5 + 0*l - 1/8*l**2 + 7/12*l**3. Factor u(d).
-d*(d - 1)**3*(4*d - 1)/4
Suppose 0 = 7*r - 2 - 19. Factor 0*s + 0 + 0*s**r + 1/3*s**2 - 1/3*s**4.
-s**2*(s - 1)*(s + 1)/3
Let d(v) = v**5 - 4*v**4 + 4*v**2 - v - 2. Let s(u) = -4*u**5 + 13*u**4 - 13*u**2 + 4*u + 7. Let y(l) = -7*d(l) - 2*s(l). Factor y(q).
q*(q - 1)*(q + 1)**3
Let v(t) be the second derivative of -t**7/210 + t**5/50 - t**3/30 - 2*t. What is f in v(f) = 0?
-1, 0, 1
Let s(q) be the first derivative of q**8/1120 - q**7/112 + 3*q**6/80 - 7*q**5/80 + q**4/8 - 2*q**3/3 - 2. Let x(h) be the third derivative of s(h). Factor x(a).
3*(a - 2)*(a - 1)**3/2
Let x(a) = -2*a**2 - a - 3. Let y(u) = 3*u**2 + 2*u + 4. Let r(s) = -4*x(s) - 3*y(s). Factor r(c).
-c*(c + 2)
Let r(w) be the third derivative of -w**7/105 - w**6/12 - 3*w**5/10 - 7*w**4/12 - 2*w**3/3 - 19*w**2. Determine x so that r(x) = 0.
-2, -1
Let y(g) be the third derivative of -g**6/30 + g**5/15 + g**4/6 - 2*g**3/3 + 11*g**2. Factor y(l).
-4*(l - 1)**2*(l + 1)
Let m(z) be the third derivative of -5*z**5/12 + 15*z**4/8 + 5*z**3/3 - 12*z**2. Factor m(u).
-5*(u - 2)*(5*u + 1)
Let m(j) be the third derivative of -j**8/2184 + 2*j**7/1365 - j**6/780 + 9*j**2. Factor m(b).
-2*b**3*(b - 1)**2/13
Suppose -25/4*b**2 + 39/8*b**3 - 11/2*b - 1 + 63/8*b**4 = 0. Calculate b.
-2/3, -2/7, 1
Let l(j) = -j**3 - j**2 + j. Let a(c) = -c**4 - 6*c**3 - 4*c**2 + 6*c. Let y be 4/(-2)*(-3)/(-6). Let x(i) = y*a(i) + 5*l(i). Suppose x(w) = 0. What is w?
-1, 0, 1
Let d be ((-22)/(-40) - -2) + -2. Let p = d + -1/20. Suppose -1/2*a**3 - 1/2 + 1/2*a**2 + p*a = 0. What is a?
-1, 1
Determine c, given that -6*c**3 + 21 - 37*c**2 + 6 + 16*c**4 - 5*c**2 + 9*c - c**4 - 3*c**5 = 0.
-1, 1, 3
Let o(b) be the second derivative of -b**8/2240 + b**7/840 + b**4/2 - b. Let l(a) be the third derivative of o(a). Solve l(g) = 0 for g.
0, 1
Let l be (9/6*-1)/(-6 + 5). Let 5/2*g**3 + 0*g + 0 + l*g**4 + g**2 = 0. Calculate g.
-1, -2/3, 0
Suppose 4*w - 45 = 5*m + 250, -3*w = 3*m + 150. Let r be (-34)/m + (-2)/(-11). Solve 2/5*t**2 + r*t + 2/5 = 0.
-1
Let m(u) be the second derivative of u**7/1260 - u**5/60 - u**4/6 - 4*u. Let d(w) be the third derivative of m(w). Factor d(i).
2*(i - 1)*(i + 1)
Let b(a) be the third derivative of -a**8/84 + 2*a**7/105 + a**6/15 + 19*a**2. Determine z so that b(z) = 0.
-1, 0, 2
Let g = -5 + -1. Let r be 2 - (g/3 - -4). Factor r*b + 2*b**2 - 2*b + 0*b.
2*b*(b - 1)
Suppose 14/9*g**2 + 10/9*g - 4/9 = 0. Calculate g.
-1, 2/7
Let o(k) be the second derivative of -k**5/20 + k**4/12 + 5*k**3/6 + 3*k**2/2 - 28*k. Factor o(n).
-(n - 3)*(n + 1)**2
Suppose 16*k - 14*k = 50. Let n be 7920/k - (0 - 2). Suppose -n*z**3 - 16/5 - 796/5*