ve of 1/40*u**6 + 1/210*u**7 + 0*u**3 + 1/20*u**5 + 0 + 2*u**2 + 0*u + o*u**4. Let r(f) = 0. What is f?
-1, 0
Let h = -18/17 + 88/51. Factor d - h - 1/3*d**3 + 0*d**2.
-(d - 1)**2*(d + 2)/3
Let i(s) = -s**3 + 3*s**2 + 5*s - 4. Let b be i(4). Find l, given that 4*l + 2 - 3*l - l**2 + 0*l + b*l**2 = 0.
-1, 2
Let v = -40 + 45. Let i(t) be the second derivative of 0 + 0*t**4 - t - 1/10*t**v + 1/21*t**7 + 0*t**6 + 0*t**2 + 0*t**3. Factor i(l).
2*l**3*(l - 1)*(l + 1)
Let w(y) = 3*y**4 - 6*y**3 - 3*y**2 + 11*y + 5. Let s(g) = -3*g**4 + 6*g**3 + 3*g**2 - 12*g - 6. Let h(k) = -5*s(k) - 6*w(k). Factor h(t).
-3*t*(t - 2)*(t - 1)*(t + 1)
Let s = 1 + 2. Suppose 3*z + s = 18. Factor 14*w**3 - 2 + 7*w + 3*w**z + 2*w - 2*w**5 - 16*w**2 - 6*w**4.
(w - 2)*(w - 1)**4
Let z(n) be the third derivative of -n**6/60 + n**5/15 - 5*n**4/48 + n**3/12 - 3*n**2. What is t in z(t) = 0?
1/2, 1
Let a(c) = c + 1. Let q be a(0). Let r be 10/2 - (q + 1). Factor 10*b - 5*b**3 + 0*b**3 - 8*b + b**r + 2*b**5.
2*b*(b - 1)**2*(b + 1)**2
Let c(j) = -7*j**4 - 8*j**3 + 8*j + 1. Let a be (0 - (-2)/(-5))*15. Let f(n) = -8*n**4 - 9*n**3 + 9*n + 1. Let s(g) = a*f(g) + 7*c(g). Factor s(b).
-(b - 1)*(b + 1)**3
Let r = 18 - 16. Find p, given that -2*p + 0*p**r - 2*p**2 + 0*p + 0*p = 0.
-1, 0
Let n(r) be the first derivative of r**4/4 + r**3 + r**2 + 2*r + 9. Let h be n(-2). Factor 1/3*g - 1/3*g**4 + 2/3*g**h - 1/3 - 2/3*g**3 + 1/3*g**5.
(g - 1)**3*(g + 1)**2/3
Let d be 66/15 - 2/5. Let m(g) = -3*g**3 - 4*g**2 + 5. Let a(x) = -x**3 - 2*x**2 + 2. Let l(t) = d*m(t) - 10*a(t). Suppose l(j) = 0. Calculate j.
0, 2
Suppose 2*q**2 - 3*q**3 + 25*q**4 + 6 + 15*q - 28*q**4 + 7*q**2 = 0. Calculate q.
-1, 2
Suppose 5*s + 12 = -2*n, 5*n = 4*s - 3 - 27. Let w = -3 - n. Factor -2*k**2 + 2 - 3*k + 2*k**3 + 0*k**2 - 3 + w*k**4 + k**5.
(k - 1)*(k + 1)**4
Factor 4/11 + 0*p**2 + 6/11*p - 2/11*p**3.
-2*(p - 2)*(p + 1)**2/11
Suppose a = 12*a - 55. Let 3/2*d**a + 5*d**3 - 1 + 0*d**2 + 5*d**4 - 5/2*d = 0. Calculate d.
-1, 2/3
What is c in -3*c**2 - 4*c**3 - 5*c**3 + 12*c**3 = 0?
0, 1
Let b be (60/33 + -1)/1. Let j = 49/33 - b. Solve -j*t**2 + 2/3*t + 0 = 0.
0, 1
Let d = -12 - -15. Suppose -5*v = -i - 23, 3 + 8 = d*i + v. Factor 2/9*w**i + 4/9*w + 0.
2*w*(w + 2)/9
Let z be (-1)/((-80)/(-38) + -2). Let w = 13 + z. Factor 0 + w*i**2 + i + 5/2*i**3.
i*(i + 1)*(5*i + 2)/2
Let p(r) = -r**3 - r - 1. Let w(g) = 4*g - 1. Suppose 0 = -z - 3*i + 1, 3*z + 1 = 3*i + 4. Let k(s) = z*p(s) + w(s). Suppose k(l) = 0. What is l?
-2, 1
Factor 3/2 + 3/4*x - 3/4*x**2.
-3*(x - 2)*(x + 1)/4
Factor 0*v**4 + 6/13*v**3 + 0 + 0*v - 4/13*v**2 - 2/13*v**5.
-2*v**2*(v - 1)**2*(v + 2)/13
Let v(b) be the first derivative of 5*b**8/672 - b**7/35 + 3*b**6/80 - b**5/60 + b**2 - 3. Let j(s) be the second derivative of v(s). Let j(q) = 0. Calculate q.
0, 2/5, 1
Let o(a) be the first derivative of -4/3*a**3 + 0*a**2 + 2*a + 2/5*a**5 + 4 + 0*a**4. Find y, given that o(y) = 0.
-1, 1
Let n(s) = 3*s**2 + 3*s + 4. Let w(h) = -h**2 - h - 1. Suppose 3 = -5*u - 2. Let t(j) = u*n(j) - 4*w(j). Factor t(z).
z*(z + 1)
Suppose 2*k = -4*z + 42, -4*k + 0*k - 46 = -5*z. Suppose 8*c - z*c = 0. Factor -1/5*o - 1/5*o**2 + c.
-o*(o + 1)/5
Let u(b) be the third derivative of -b**10/75600 + b**9/18144 - b**8/15120 - b**5/60 - b**2. Let t(m) be the third derivative of u(m). Factor t(a).
-2*a**2*(a - 1)*(3*a - 2)/3
Let t(o) = 3*o**2 + 4 - 12*o**2 - 4*o**3 + 3*o**3. Let u be t(-9). Factor 4/7*r**2 - 2/7 + 0*r - 2/7*r**u + 0*r**3.
-2*(r - 1)**2*(r + 1)**2/7
Let -1/2*j**2 + j**3 + 1/4*j**5 - 5/4*j + j**4 - 1/2 = 0. Calculate j.
-2, -1, 1
Suppose 0 = 5*r - 25, -7*r = 2*v - 2*r - 47. Determine s so that 9*s**4 - 11*s**2 + 7*s**2 + 6*s**2 - v*s**3 = 0.
0, 2/9, 1
Let h(g) be the second derivative of -19/30*g**5 + 4/15*g**6 + 0*g**2 + 0 + 4/9*g**4 - 3*g - 1/9*g**3. Suppose h(r) = 0. What is r?
0, 1/4, 1/3, 1
Factor -4/3 - 2/3*b + 4/3*b**2 + 2/3*b**3.
2*(b - 1)*(b + 1)*(b + 2)/3
Find q such that -8/5*q**3 + 2*q - 14/5*q**2 + 12/5 = 0.
-2, -3/4, 1
Let r = -361/3 + 6017/50. Let k(d) be the third derivative of 0*d**3 - 1/300*d**6 + 0*d - r*d**5 + 0 - d**2 + 0*d**4. Factor k(n).
-2*n**2*(n + 1)/5
Let i(x) be the third derivative of x**5/60 - x**4/24 - x**3/3 - 5*x**2. Factor i(s).
(s - 2)*(s + 1)
Let l = -5/19 - -83/171. Factor 10/9*y**2 - 14/9*y - l*y**3 + 2/3.
-2*(y - 3)*(y - 1)**2/9
Let l(y) be the second derivative of -y**6/10 - y**5/5 - y**4/12 + 12*y. Solve l(i) = 0 for i.
-1, -1/3, 0
Let o(b) be the first derivative of 5*b**3/3 - 5*b**2 - 40*b - 22. Factor o(t).
5*(t - 4)*(t + 2)
Let u(s) be the second derivative of -s**6/30 + s**5/20 + s**4/2 + 43*s. Factor u(q).
-q**2*(q - 3)*(q + 2)
Let f(q) be the second derivative of 0*q**2 + 0*q**5 + 1/168*q**7 + 0*q**4 - 1/120*q**6 + 0 - 2*q + 0*q**3. Let f(m) = 0. Calculate m.
0, 1
Let n be (6/15)/((-28)/(-105)). Solve 6*q**4 - 9*q**3 + 6*q**2 - n*q**5 + 0 - 3/2*q = 0 for q.
0, 1
Let w(o) = o**2 - 7*o. Let v be w(7). Let b(c) be the third derivative of -1/120*c**5 + v - 1/48*c**4 + 0*c + 3*c**2 + 0*c**3. Determine x so that b(x) = 0.
-1, 0
Determine a so that -2/13*a + 2/13*a**3 - 4/13*a**2 + 4/13 = 0.
-1, 1, 2
Let c = -3 - -6. Let v be 1026/585 + (-2)/13. Suppose -4/5 - 2/5*q + v*q**2 + 6/5*q**c = 0. Calculate q.
-1, 2/3
Let d(z) be the second derivative of z**6/105 + z**5/35 - 2*z**3/21 - z**2/7 + 2*z. Suppose d(n) = 0. What is n?
-1, 1
Suppose 3*f - 4 = 2*l - 34, 4 = -f. Let 3/5 - l*s + 45*s**2 - 75*s**3 = 0. Calculate s.
1/5
Factor 16*z + 2*z**4 + 2*z - 10*z - 12*z**2 + 2*z**4.
4*z*(z - 1)**2*(z + 2)
Let d be 350/435 + (-2)/3. Let j = d - -13/116. Determine t, given that -1/2*t - 1/4 - j*t**2 = 0.
-1
Let b(d) = -3*d + 2*d**3 + 2*d**3 + 2 + 2*d**2 - d. Let t(f) = 9*f**3 + 5*f**2 - 9*f + 5. Let p(o) = 5*b(o) - 2*t(o). Let p(m) = 0. What is m?
-1, 0, 1
Let a be 0/3 + 4 + (-16)/6. Let m be (-1)/4 + (-42)/(-8). Factor -4/3*p**3 + 2/3*p + 2/3*p**4 + 2/3 + 2/3*p**m - a*p**2.
2*(p - 1)**2*(p + 1)**3/3
Let m(q) = 7*q**2 - 2*q - 1. Let h be m(-1). Suppose 3*v = 4 + h. Let 0 - 2*n**v - 3*n**3 - 1/2*n - 2*n**2 - 1/2*n**5 = 0. Calculate n.
-1, 0
Suppose -3*j - u - 12 = 3*u, -9 = -2*j + 3*u. Determine k so that j*k + k**2 + k**2 - 4*k + 2*k - 4 = 0.
-1, 2
Let u(s) be the third derivative of 0*s + 0*s**3 + 1/120*s**5 - s**2 - 1/420*s**7 + 1/96*s**4 + 0 - 1/1344*s**8 + 0*s**6. Factor u(t).
-t*(t - 1)*(t + 1)**3/4
Let s(v) = 9*v**3 - 8*v**2 - 17*v + 8. Let i(y) = -3*y**3 + 3*y**2 + 6*y - 3. Let m(n) = 8*i(n) + 3*s(n). Factor m(a).
3*a*(a - 1)*(a + 1)
Let b be 456/209 - ((-48)/(-22) - 2). Factor 1/4*p + 1/8*p**b + 1/8.
(p + 1)**2/8
Factor 0*b**2 + 2*b**4 + 5*b**2 - 8*b**3 + 0*b**4 + 3*b**2.
2*b**2*(b - 2)**2
Let h be 3/(-3) - (-8)/6. Let g be ((-32)/(-144))/((-1)/(-6)). Factor -g*n + h*n**2 + 4/3.
(n - 2)**2/3
Let b(i) be the third derivative of -i**6/360 + i**3/6 - 8*i**2. Let c(q) be the first derivative of b(q). Factor c(n).
-n**2
Suppose 7*t - 11*t + 8 = 0. Let d(v) be the first derivative of -4*v - 2/3*v**3 + 3*v**t + 3. Factor d(x).
-2*(x - 2)*(x - 1)
Let s(q) be the first derivative of -3*q**6/14 + 4*q**4/7 - 2*q**3/21 - q**2/2 + 2*q/7 + 31. Solve s(d) = 0.
-1, 1/3, 2/3, 1
Factor -1/4*r + 0 + 0*r**2 + 1/4*r**3.
r*(r - 1)*(r + 1)/4
Let i(c) be the first derivative of c**6/42 + c**5/7 + 9*c**4/28 + c**3/3 + c**2/7 + 25. Find f, given that i(f) = 0.
-2, -1, 0
Let p be (-8)/10*5/(-2). Factor -9 + 9 - 7 + p*c**2 - 1.
2*(c - 2)*(c + 2)
Let i = -588/5 + 118. Let r(q) be the first derivative of i*q**2 - 4/5*q + 2 + 1/5*q**3. Factor r(g).
(g + 2)*(3*g - 2)/5
Suppose 0 = 2*p + 4, -3*g + 2 = 4*p - 2*p. Find l, given that 0*l - g*l**3 + 0 - 4/5*l**2 = 0.
-2/5, 0
Let r(i) be the third derivative of -i**5/15 + 2*i**3/3 + 6*i**2. Factor r(x).
-4*(x - 1)*(x + 1)
Suppose 6*y = 9*y - 9. Let q(m) be the first derivative of 1/5*m**5 + 11/6*m**y - 2*m + 0*m**2 - 2 - 9/8*m**4. Factor q(c).
(c - 2)**2*(c - 1)*(2*c + 1)/2
Find s, given that 6/7*s**2 - 6/7*s**4 + 0*s + 0 + 9/7*s**3 - 9/7*s**5 = 0.
-1, -2/3, 0, 1
Let c be (2 - 5)/((-12)/8). Let v = 143/116 - -15/29. What is f in 7/4*f - 1/2*f**c + 1/2 - v*f**3 = 0?
-1, -2/7, 1
Let d(x) be the third derivative of x**6/300 + 2*x**5/75 + x**4/20 + x**2 + 8*x. Factor d(p).
2*p*(p + 1)*(p + 3)/5
Suppose -2*g = -0*g - 5*t + 16