 l(y) be the first derivative of -3*y**5/20 - 15*y**4/16 - 9*y**3/4 - 21*y**2/8 - 3*y/2 + 10. Let l(m) = 0. What is m?
-2, -1
Let 0 - 8/11*o - 6/11*o**2 + 2/11*o**3 = 0. Calculate o.
-1, 0, 4
Let f(c) be the third derivative of -2*c**7/945 - c**6/360 + c**5/108 + c**4/72 - c**3/54 + 21*c**2. Solve f(t) = 0.
-1, 1/4, 1
Let w(j) = -j**3 - 9*j**2 - j - 3. Let a be w(-9). Suppose -a = n - 8. Factor n*z - 5*z**2 + z**3 + 2*z - 4*z + 9 + 3*z.
(z - 3)**2*(z + 1)
Let s = 29 - 21. Let n(j) be the third derivative of 0 + 1/27*j**3 - 1/1512*j**s + 1/27*j**5 - 5/108*j**4 + 0*j + 1/189*j**7 - 1/54*j**6 + j**2. Factor n(h).
-2*(h - 1)**5/9
Suppose -2*r - 3*q + 8 = 0, 3*r - q = -2 + 14. Factor 0 - 3/2*a**3 + 1/2*a**r - 1/2*a + 3/2*a**2.
a*(a - 1)**3/2
Let l be 0 + (-14)/(-1 + -1). Suppose 5*y = 27 - l. Let r(q) = -q**2 + 2*q. Let m(f) = -f**2 + f. Let s(x) = y*r(x) - 6*m(x). Solve s(k) = 0 for k.
-1, 0
Suppose 12 = 8*k - 4*k. Suppose 4/7*i**2 + 0*i - 2/7*i**k + 0 = 0. What is i?
0, 2
Let w(o) = -o**3 + 5*o**2 - 4*o + 5. Let m be w(4). Let s = 5 - m. Factor r + r**5 - 2 + s*r**2 + 2*r**2 + 1 - r**4 - 2*r**3.
(r - 1)**3*(r + 1)**2
Let h(k) = 30*k**3 + 35*k - 35. Let v(z) = 5*z**3 + 6*z - 6. Let n(j) = 6*h(j) - 35*v(j). Solve n(o) = 0 for o.
0
Let d be -2 - ((-676)/8 + -2). Let j = 86 - d. Solve -3/2 + 3/2*q**3 + j*q**2 - 3/2*q = 0 for q.
-1, 1
Let k(f) be the third derivative of -f**5/20 + f**4/6 + 7*f**3/6 + f**2. Let r(l) = -2*l**2 + 2*l + 4. Let y(c) = -3*k(c) + 5*r(c). Factor y(s).
-(s + 1)**2
Let c(j) = 39*j**3 - 441*j**2 + 1377*j - 27. Let n(p) = -3*p**3 + 34*p**2 - 106*p + 2. Let h(q) = -2*c(q) - 27*n(q). Suppose h(o) = 0. What is o?
0, 6
Let k(r) = -6*r**4 + 4*r**3 + 4*r**2 - 4*r + 2. Let o(h) = 17*h**4 - 11*h**3 - 12*h**2 + 11*h - 5. Let z(q) = 11*k(q) + 4*o(q). Find j, given that z(j) = 0.
-1, 1
Suppose -2/11*f**2 - 8/11 + 8/11*f = 0. What is f?
2
Let j(b) be the first derivative of b**4/4 - 2*b**3/3 - b**2/2 + 2*b + 6. Find u such that j(u) = 0.
-1, 1, 2
Let x = -14 - -16. Factor -x + 4*l**2 - 2*l**2 - 4*l + 2.
2*l*(l - 2)
Factor 0 - 1/2*b**3 + 1/4*b**2 + 1/4*b.
-b*(b - 1)*(2*b + 1)/4
Let g = 935 - 6527/7. What is b in -4/7*b**5 + 0 - 2/7*b + 10/7*b**2 + 2*b**4 - g*b**3 = 0?
0, 1/2, 1
Let a(j) = -j**3 + 12*j**2 + 4. Let z be a(12). Factor -2*i**2 - 6 - 24*i**3 + 20*i - 6 + 10*i**2 + 4*i**z + 4*i**5.
4*(i - 1)**3*(i + 1)*(i + 3)
Let o(s) be the second derivative of -7*s**6/300 + 8*s**5/75 - 11*s**4/60 + 2*s**3/15 + 3*s**2/2 - 3*s. Let q(z) be the first derivative of o(z). Factor q(d).
-2*(d - 1)**2*(7*d - 2)/5
Suppose -2 - 1/2*i**3 + 1/2*i**2 + 2*i = 0. Calculate i.
-2, 1, 2
Suppose -36*y - 4 = -37*y. Find s, given that s**2 + 0 + 13/2*s**y + 7/4*s**5 + 27/4*s**3 - s = 0.
-2, -1, 0, 2/7
Let z(g) = g**2 + 7*g. Let i be z(-7). Let r be (8/(-6))/((-12)/18). Let 1/3*b**r + i - 1/3*b = 0. Calculate b.
0, 1
Let y(f) be the third derivative of -5*f**8/336 + 5*f**7/42 - f**6/4 + 29*f**2. Solve y(u) = 0.
0, 2, 3
Let w = -6 + 7. Suppose 3*q + s = -4*s + w, -2*s = 3*q - 4. Find r, given that 2/9*r + 2/9*r**q + 0 = 0.
-1, 0
Let n(h) be the first derivative of h**4/24 - h**2/12 + 20. Determine d, given that n(d) = 0.
-1, 0, 1
Let j be (1 + 3 - 2) + 3. Suppose -j*m - 30 = -5*p, 0 = -5*p + 2*m - 8 + 32. Factor 4*s**3 - s**4 - 4 + 2*s**p - 5*s + 3*s**2 + s.
(s - 1)*(s + 1)*(s + 2)**2
Let p be (-13)/(-5) - (-4)/10. Suppose 0 = -3*v + p + 3. Factor -l**4 + 1/4*l**5 + 1/4*l + 3/2*l**3 + 0 - l**v.
l*(l - 1)**4/4
Let s(o) be the third derivative of 2*o**7/105 - o**6/30 - o**5/15 + o**4/6 + 9*o**2. Determine l so that s(l) = 0.
-1, 0, 1
Let t be 2/24 - 11/(-44). Solve -2/3 - t*n**2 - n = 0 for n.
-2, -1
Let g(a) be the second derivative of 1/8*a**3 - 1/120*a**6 + 0 - 3/80*a**5 - 1/48*a**4 + 7*a + 1/4*a**2. Factor g(h).
-(h - 1)*(h + 1)**2*(h + 2)/4
Let r(x) = -4 + 7*x**2 - x - 4*x**2 + x**4 + 4*x**3 - 3*x**3 + 4*x. Let i(g) = -3*g**4 - 3*g**3 - 6*g**2 - 6*g + 9. Let c(t) = 4*i(t) + 9*r(t). Factor c(b).
-3*b*(b - 1)*(b + 1)**2
Let q(c) = -c**4 - c**3 - c**2 + c + 1. Let g(i) = -5*i**4 - 10*i**3 - 17*i**2 - 8*i. Let k = -13 + 9. Let d(w) = k*q(w) + g(w). Factor d(j).
-(j + 1)**2*(j + 2)**2
Let t(s) = -s**3 + s + 1. Let j(d) = -25*d**4 - 135*d**3 - 285*d**2 - 115*d - 25. Let u(h) = -j(h) - 25*t(h). Factor u(x).
5*x*(x + 3)**2*(5*x + 2)
Let f be 1*(0/2 + 0). Let t(d) be the second derivative of -1/3*d**3 + 1/6*d**4 + 2*d + 0*d**2 + 1/10*d**5 - 1/15*d**6 + f. Factor t(l).
-2*l*(l - 1)**2*(l + 1)
Let b(v) be the second derivative of -3*v - 1/36*v**4 + 0 + 0*v**2 + 1/60*v**5 + 0*v**3. Determine h, given that b(h) = 0.
0, 1
Suppose -10/21*r + 4/7 - 2/21*r**2 = 0. What is r?
-6, 1
Solve 18*k + 1 - 42*k**2 + 117*k**2 - 54*k**2 - 4 = 0 for k.
-1, 1/7
Let p be (-38)/(-6) - 6 - 1/3. Let t(c) be the second derivative of 1/45*c**6 + 3*c + 0*c**2 + p*c**5 + 0 - 1/18*c**4 + 0*c**3. Factor t(b).
2*b**2*(b - 1)*(b + 1)/3
Let l(c) be the third derivative of -c**6/1080 + c**5/20 - 9*c**4/8 + 27*c**3/2 + 29*c**2. Factor l(z).
-(z - 9)**3/9
Let q(w) be the second derivative of w**5/30 - w**4/12 - 2*w**3/3 - w**2/2 + w. Let m(z) be the first derivative of q(z). Determine c, given that m(c) = 0.
-1, 2
Let f(o) = o**5 - o**4 - o - 1. Let b(h) = -2*h**5 + 2*h**3 + 2*h**2 + 4. Let l(d) = -b(d) - 3*f(d). Factor l(y).
-(y - 1)**4*(y + 1)
Solve 12/5*j**4 + 3/5*j + 12/5*j**2 + 18/5*j**3 + 0 + 3/5*j**5 = 0.
-1, 0
Let f(a) = 5*a**3 - 5*a**2 - 3. Let w(l) = 14*l**3 - 14*l**2 - 8. Let y(g) = -8*f(g) + 3*w(g). Suppose y(j) = 0. Calculate j.
0, 1
Let v = 13 - 10. Let z be (-2 + 2)/v - 0. Factor 0*p + p**3 + 1/3*p**2 + z.
p**2*(3*p + 1)/3
Let j = 328 - 324. Factor 12*d**2 + 1/3*d**j + 9 - 10/3*d**3 - 18*d.
(d - 3)**3*(d - 1)/3
Let v be 4/16 - (-66)/2. Let y = v - 33. Factor y*t**2 + 1/4 + 1/2*t.
(t + 1)**2/4
Let j(f) be the first derivative of 2*f**6/21 - 8*f**5/7 + 9*f**4/7 + 60. Factor j(t).
4*t**3*(t - 9)*(t - 1)/7
What is c in 0*c - 1/7*c**3 + 0 + 1/7*c**2 = 0?
0, 1
Let m(b) be the first derivative of -b**5/15 - 5*b**4/9 - 14*b**3/9 - 2*b**2 - 3*b + 1. Let t(k) be the first derivative of m(k). Find o, given that t(o) = 0.
-3, -1
Let v(j) = 16*j**5 - 101*j**4 + 96*j**3 + 72*j**2 + 13*j. Let r(g) = 4*g**5 - 25*g**4 + 24*g**3 + 18*g**2 + 3*g. Let m(o) = 26*r(o) - 6*v(o). Factor m(h).
4*h**2*(h - 3)**2*(2*h + 1)
Let q(z) be the third derivative of z**5/100 - z**4/10 + 3*z**3/10 + 5*z**2. Let q(l) = 0. Calculate l.
1, 3
Let k(b) be the third derivative of b**7/1400 - b**5/200 - b**3/2 + 6*b**2. Let n(z) be the first derivative of k(z). Determine o so that n(o) = 0.
-1, 0, 1
Let r(c) be the third derivative of -c**7/525 + c**6/60 - 4*c**5/75 + c**4/15 + 9*c**2. Find t such that r(t) = 0.
0, 1, 2
Let b(l) be the second derivative of -l**6/15 + l**4/6 - 5*l. Let b(u) = 0. What is u?
-1, 0, 1
Suppose -4*d - 30 = -10*d. Let c(a) be the first derivative of 9/5*a**2 + 2 + 14/25*a**d - 2/3*a**3 - 4/5*a - 9/10*a**4. Solve c(n) = 0.
-1, 2/7, 1
Let w(f) be the third derivative of f**8/16800 + f**7/2100 + f**6/600 + f**5/300 + 5*f**4/24 + 2*f**2. Let n(r) be the second derivative of w(r). Factor n(o).
2*(o + 1)**3/5
Let x be 5/(10/12) - 2. Let j be 2/(-8)*(-56)/21. Factor -2/3*o**3 + j*o + 1/3*o**x - 1/3 + 0*o**2.
(o - 1)**3*(o + 1)/3
Suppose 83 + 33 + 204 + 80*b + 5*b**2 = 0. What is b?
-8
Solve -2*y + 2/3 - 2/3*y**3 + 2*y**2 = 0 for y.
1
Let 1 + 5/2*u + 2*u**2 + 1/2*u**3 = 0. What is u?
-2, -1
Let m(w) be the second derivative of 0*w**2 + 0*w**4 + 1/10*w**5 + 0 + 2*w - 1/3*w**3. Let m(h) = 0. Calculate h.
-1, 0, 1
Let i be 7/(-21)*(0 - 0). Let k(x) be the first derivative of -4/5*x**2 + 8/15*x**3 + i*x + 3 - 1/10*x**4. Solve k(h) = 0.
0, 2
Let r be 18/(-60) + (-4)/(-5). Solve 1/2*j - r*j**2 - 1/2*j**3 + 1/2 = 0.
-1, 1
Suppose -p - 2*p = -9. Factor -3 + p*q - 3/4*q**2.
-3*(q - 2)**2/4
Let s = 179704/75 - 2396. Let g(d) be the second derivative of 0 + s*d**6 + 1/15*d**4 + 0*d**3 + 1/105*d**7 + 1/10*d**5 - 3*d + 0*d**2. Factor g(r).
2*r**2*(r + 1)**2*(r + 2)/5
What is f in 20 - 4*f**2 + 11*f + 13*f + 18 - 10 = 0?
-1, 7
Let i(m) = -6*m**3 - 2 + 5*m**5 + 2*m**4 + 7*m - 2*m + 2*m**3 - 2*m**3. Let t(l) = -l**5 - l**4 - l + 1. Let v(r) = i(r) + 2*t(r). Factor v(a).
3*a*(a - 1)**2*(a + 1)**2
Suppose -7*j + 13 = -8. Let f(z) 