 of q**6/360 - q**5/60 + 2*q**3/9 + 3*q**2/2 + q. Let m(z) be the first derivative of f(z). Factor m(c).
(c - 2)**2*(c + 1)/3
Let o = 1 - 0. Let q(d) = 19*d**2 + 48*d + 10. Let m(w) = w**2 + 1. Let n(b) = o*q(b) + 2*m(b). Find a, given that n(a) = 0.
-2, -2/7
Let o(w) be the second derivative of 20*w**7/21 + 22*w**6/15 - 21*w**5/5 - 4*w**4/3 + 8*w**3/3 - 12*w. Let o(i) = 0. What is i?
-2, -1/2, 0, 2/5, 1
Factor 2/7*k**2 + 32/7 - 16/7*k.
2*(k - 4)**2/7
Let l be 4/(2/1) + 1. Let t(h) = -h**3 - 7*h**2 - 7*h - 6. Let d be t(-6). Solve d + 2/9*m**l + 2/9*m**2 + 0*m = 0.
-1, 0
Let q(n) = -n**3 + n**2 - n + 1. Let b(p) = p**2 + 6 - 10*p + 5*p**2 - 2*p**2 - 4*p**3. Let f(s) = -b(s) + 6*q(s). Factor f(y).
-2*y*(y - 2)*(y + 1)
Suppose -f - 10 = -3*i, -4*i - 4 + 0 = 3*f. Suppose 6 = -i*a + 5*a. Factor 0*q**3 + 0*q + 0 + 1/3*q**4 - 1/3*q**a.
q**2*(q - 1)*(q + 1)/3
Let x(l) be the first derivative of 2*l**3/9 - 2*l**2 + 6*l - 3. Solve x(s) = 0.
3
Let s(z) = -20*z**4 + 22*z**3 - 54*z**2 + 38*z + 14. Let r(v) = -7*v**4 + 7*v**3 - 18*v**2 + 13*v + 5. Let c(u) = -14*r(u) + 5*s(u). Solve c(a) = 0 for a.
0, 1, 4
Suppose 0 = -5*p + p - 16. Let m be (4 - 4) + p/(-2). Solve 0 + 4/5*n**m + 0*n - 14/5*n**3 + 2*n**4 = 0.
0, 2/5, 1
Let c = 13 - 10. Let f(r) be the first derivative of -1/2*r**4 - c*r**2 + 3 - 2*r - 2*r**3. Factor f(m).
-2*(m + 1)**3
Suppose -3*m + m = -4. Factor -5*g - m*g**3 + 0*g + 6*g**3 - 7*g**4 + 3*g**5 + 6*g**2 + 1 - 2*g**3.
(g - 1)**3*(g + 1)*(3*g - 1)
Let g = 0 + 4. Determine i, given that -3*i**g + i**5 + 2*i**5 + 7*i**2 - 4*i**2 - 3*i**3 = 0.
-1, 0, 1
Find g such that -30*g - 136*g**4 - 178*g**3 - 37*g**5 - 3*g**5 - 4 - 112*g**2 - 4*g = 0.
-1, -1/2, -2/5
Factor 5*t**2 - t**2 - 9*t + 5*t.
4*t*(t - 1)
Let b(l) = l**4 - l**2 + 8*l + 8. Let d(u) = 2*u - 3. Let c(p) = p - 2. Let m(i) = 5*c(i) - 3*d(i). Let g(z) = -3*b(z) - 24*m(z). What is r in g(r) = 0?
-1, 0, 1
Let v(g) be the second derivative of 2*g**4/45 - 4*g**3/45 + g**2/15 + 5*g. Find l such that v(l) = 0.
1/2
Let i(s) be the first derivative of 3/40*s**5 + 0*s**6 + 0*s**4 - 1/8*s**3 - 1/56*s**7 - 1 + 0*s**2 + s. Let h(q) be the first derivative of i(q). Factor h(l).
-3*l*(l - 1)**2*(l + 1)**2/4
Let m(c) be the first derivative of c**5/210 + c**4/28 + 2*c**3/21 - c**2 + 2. Let u(g) be the second derivative of m(g). Determine q, given that u(q) = 0.
-2, -1
Let y(t) be the first derivative of -t**4/6 + t**3/3 - 10*t + 1. Let v(b) be the first derivative of y(b). Factor v(a).
-2*a*(a - 1)
Let f(g) be the third derivative of -g**5/270 - g**4/27 - 4*g**3/27 - g**2. Factor f(t).
-2*(t + 2)**2/9
Let o be (-28)/84 + ((-13)/15 - -2). Factor -2/5*b**2 + 6/5*b - o.
-2*(b - 2)*(b - 1)/5
Suppose 6 = 31*z - 87. Factor 0 + 2/3*b**z + 0*b + 2/3*b**2.
2*b**2*(b + 1)/3
Let b(n) be the first derivative of 0*n**3 + n**4 - 2*n**2 - 5 + 2*n - 2/5*n**5. Determine f so that b(f) = 0.
-1, 1
Let k(z) = -z**3 + 4*z**2 - 2*z - 2. Let r be k(2). Let y(i) be the first derivative of 0*i**r + 1/2*i**4 - 2 + 0*i + 1/5*i**5 + 1/3*i**3. Factor y(t).
t**2*(t + 1)**2
Factor -86*a**4 - 60 + 30*a**3 + 15 + 40*a**2 + 91*a**4 - 30*a.
5*(a - 1)*(a + 1)*(a + 3)**2
Let s(x) be the third derivative of -x**5/24 - 5*x**4/16 - 2*x**2 - 2*x. Suppose s(a) = 0. Calculate a.
-3, 0
Let t(k) be the first derivative of k**3/9 + 11*k**2/3 + 121*k/3 - 46. Factor t(o).
(o + 11)**2/3
Suppose -o = -2 - 1. Suppose 0 + 6*r**2 - 6 - 3*r**4 + o = 0. Calculate r.
-1, 1
Let i(s) be the second derivative of s**6/90 - s**5/60 - s**4/12 + s**3/18 + s**2/3 - 4*s. What is p in i(p) = 0?
-1, 1, 2
Suppose -b + 1 + 4 = 0. Suppose -5*j = p - 29, 0*p - 2*p - 17 = -b*j. Determine v so that 7*v**5 + 0*v**p - 3*v**4 - 3*v**3 - 8*v**5 - v**2 = 0.
-1, 0
Factor -85*h**2 - 139*h**2 + 264*h**2 + 48*h**3 + 12*h + 24*h**4 + 4*h**5.
4*h*(h + 1)**3*(h + 3)
Let j be (0/((-35)/7))/(-2). Solve 0*w + j + 2/3*w**3 + 2/3*w**2 = 0.
-1, 0
Suppose s + 8 = -4*x, -s - 10 = 6*x - x. Factor 2/11*h**2 + s - 2/11*h.
2*h*(h - 1)/11
Let b = 1513/7 - 215. Solve 10/7*h**2 + 6/7*h**3 - 8/7*h - b = 0 for h.
-2, -2/3, 1
Let r(i) be the first derivative of 5 - i + i**2 - 1/3*i**3. Solve r(n) = 0.
1
Let s(g) = -g**3 + g. Let r be s(-2). Let v(q) be the first derivative of -1/12*q**4 + 0*q**5 + 1 + 0*q**2 + 0*q + 1/18*q**r + 0*q**3. Solve v(f) = 0 for f.
-1, 0, 1
Let a(t) = 2*t**2 + 3*t + 1. Let s(z) = z**2 + z + 1. Let p(n) = -5*a(n) + 5*s(n). Factor p(o).
-5*o*(o + 2)
Let n(q) = q**3 + q**2 - 3*q - 2. Let a be n(2). Solve 0 - 1/4*t**5 - 3/4*t**a - 1/4*t**2 - 3/4*t**3 + 0*t = 0 for t.
-1, 0
Let y(p) be the third derivative of -p**7/1365 - p**6/780 + p**5/390 + p**4/156 - 3*p**2. Determine t so that y(t) = 0.
-1, 0, 1
Suppose -2*b + 3 = -b. Let f(i) be the second derivative of 2*i + 0 + 1/6*i**4 + 0*i**2 + 0*i**b. Determine w, given that f(w) = 0.
0
Let n be (-35 + -1)/(-3) - 1. Let 4 + 2*v**3 + 7*v - n*v**2 + 19*v**2 + 3*v = 0. What is v?
-2, -1
Let o = -181 + 184. Let 0*d**2 + 0*d - o*d**4 + 3/2*d**3 + 0 + 3/2*d**5 = 0. What is d?
0, 1
Let c(d) be the first derivative of 5*d**4/4 + 5*d**3/3 - 10*d**2 - 20*d + 26. Solve c(u) = 0 for u.
-2, -1, 2
Determine c so that 2*c**2 + 13*c**3 + 2*c**2 - 5*c**3 = 0.
-1/2, 0
Let v = 214/165 - -2/55. Determine g, given that 2/3*g - 2/3*g**2 + v = 0.
-1, 2
Let a(q) be the second derivative of -q**7/12600 + q**6/3600 + q**4/2 + q. Let z(x) be the third derivative of a(x). Solve z(o) = 0.
0, 1
Let x be -2 + (-1)/((-10)/(-54)). Let p = 39/5 + x. Solve -4/5*t - p*t**2 - 2/5 = 0 for t.
-1
Let h(i) be the third derivative of -i**9/100800 - i**8/33600 + i**7/8400 + i**6/1200 + i**5/12 + 3*i**2. Let r(j) be the third derivative of h(j). Factor r(g).
-3*(g - 1)*(g + 1)**2/5
Let y(l) = -11*l**2 - 6*l + 11. Let k(q) = -45*q**2 - 25*q + 45. Let s(f) = -6*k(f) + 25*y(f). Factor s(x).
-5*(x - 1)*(x + 1)
Let f = -5 + 21. Let x be 30/25*150/f. Factor 6*w**3 + 0*w + 25/4*w**5 - x*w**4 - w**2 + 0.
w**2*(w - 1)*(5*w - 2)**2/4
Factor 1/4 + 1/8*d**2 + 3/8*d.
(d + 1)*(d + 2)/8
Let w(v) = 5*v**5 - 3*v**3 + 2*v**2 + 2*v - 2. Let h(q) = 6*q**5 - 3*q**3 + 3*q**2 + 3*q - 3. Let j(a) = -2*h(a) + 3*w(a). Solve j(g) = 0.
-1, 0, 1
Let i = 47/3 + -15. Let g(b) be the first derivative of i*b**3 + 1/2*b**4 + 2 - 2/5*b**5 - 1/3*b**6 + 0*b + 0*b**2. Factor g(z).
-2*z**2*(z - 1)*(z + 1)**2
Let o = 5 + -6. Let j(q) = q**2 - 4. Let w(z) = 2 - 5 + 2. Let p(f) = o*j(f) + 3*w(f). Factor p(g).
-(g - 1)*(g + 1)
Let h be (-18)/((-6)/2) + -2. Suppose 4*g - h*b + 2*b = 14, -5*g + 13 = 2*b. Determine n, given that 0 + 0*n**g - 2/3*n**4 + 2*n**2 - 4/3*n = 0.
-2, 0, 1
Let w(m) be the first derivative of m**4/4 + 7*m**3/6 - 7*m**2/2 + 5*m/2 + 31. Solve w(l) = 0.
-5, 1/2, 1
Let c(y) be the second derivative of y**6/24 - 7*y**5/60 + y**4/12 + 3*y**2/2 - 4*y. Let b(q) be the first derivative of c(q). Suppose b(a) = 0. What is a?
0, 2/5, 1
Let b = 4013/9 + -445. Let r(x) be the first derivative of 2/3*x + b*x**3 + 2 - 4/3*x**2. Solve r(t) = 0.
1/2
Suppose 0 = 3*j - z, -4*j + 3*z = 2*z. Let f(t) be the third derivative of -t**2 + 1/60*t**5 + 0 + j*t**4 + 0*t - 1/6*t**3. Factor f(b).
(b - 1)*(b + 1)
Let q(c) = -6*c**2 + 4*c - 5. Let t(z) be the first derivative of 5*z**3/3 - 3*z**2/2 + 4*z - 4. Let x(j) = 4*q(j) + 5*t(j). Determine p so that x(p) = 0.
-1, 0
Suppose 0*y = -y + 8*y. Let t(r) be the third derivative of -2*r**2 - 1/48*r**4 + 1/120*r**5 - 1/12*r**3 + y + 0*r + 1/240*r**6. Solve t(d) = 0.
-1, 1
Suppose 12*d - 5 + d**3 - 13*d**2 - 3 + 7*d**2 = 0. What is d?
2
Let r(z) be the first derivative of -2*z**5/25 - 3*z**4/10 - 2*z**3/15 + 3*z**2/5 + 4*z/5 + 23. Find c such that r(c) = 0.
-2, -1, 1
Let i(x) be the first derivative of x**4/24 - x**2/4 + 8*x - 7. Let p(c) be the first derivative of i(c). Suppose p(l) = 0. What is l?
-1, 1
Let o(m) be the second derivative of -m**6/900 - m**5/50 - 3*m**4/20 + m**3/3 + 2*m. Let w(j) be the second derivative of o(j). Factor w(b).
-2*(b + 3)**2/5
Let b(i) be the first derivative of i**3/9 + i**2/6 - 2*i/3 + 39. Suppose b(u) = 0. What is u?
-2, 1
Suppose -23*p**2 - p**4 + 5*p**2 + 20*p - 11 + 11*p**3 + 3 - 4*p**3 = 0. What is p?
1, 2
Suppose -5*a + 4*a = 0. Let w be a/4 + 8/28. Factor 0*x + 0 - w*x**2.
-2*x**2/7
Let p(b) be the second derivative of -3*b**5/100 - 3*b**4/10