 0*a**t - 4/3*a**3 + 0*a. Factor w(i).
-2*i**2*(i + 2)
Factor 4/7*u**2 + 0 + 0*u.
4*u**2/7
Let s(i) be the third derivative of -i**6/540 + i**5/270 + i**4/54 - 7*i**2. Solve s(d) = 0 for d.
-1, 0, 2
Let 2/11*c**5 - 16/11 - 4/11*c**4 - 10/11*c**3 + 20/11*c**2 + 8/11*c = 0. Calculate c.
-2, -1, 1, 2
Let k(d) be the first derivative of -7*d**5/80 + 5*d**4/48 + d**3/12 + 6*d - 6. Let s(x) be the first derivative of k(x). What is f in s(f) = 0?
-2/7, 0, 1
Let i(w) = -2*w**3 - 4*w**2 + 2*w + 4. Let g be i(-2). Factor 7/2*b**3 + g - 9/2*b**2 + b.
b*(b - 1)*(7*b - 2)/2
Let s(k) = -3 + 6 - 4. Let x(a) = -2*a**2 - a + 5. Let y(h) = -4*s(h) - x(h). Suppose y(w) = 0. Calculate w.
-1, 1/2
Let a(m) = -m - 58. Let f be a(-60). Let -4/7*t - 6/7*t**4 - 16/7*t**3 + 0 - 2*t**f = 0. Calculate t.
-1, -2/3, 0
Let d(h) be the second derivative of 0 + 0*h**2 - 3*h + 0*h**3 + 2/3*h**4 + 1/5*h**5. Solve d(v) = 0 for v.
-2, 0
Factor -1/2*u**2 - 7*u - 49/2.
-(u + 7)**2/2
Let h(p) be the second derivative of -2*p**6/15 + 3*p**5/5 - p**4 + 2*p**3/3 - 14*p. Determine w, given that h(w) = 0.
0, 1
Let b(h) be the third derivative of 0*h + 0*h**4 + 0 + 1/60*h**5 + 8*h**2 + 0*h**3 - 1/40*h**6. Let b(c) = 0. What is c?
0, 1/3
Let f(s) = -s - 2. Let z be f(-4). Suppose 3*c = 3*o - 4*o + 14, -2*c + z*o = -4. Factor 8/3*b**c + 0 + 8/3*b**2 - 4*b**3 - 2/3*b**5 - 2/3*b.
-2*b*(b - 1)**4/3
Let y = 283/20 - 67/5. Suppose 0 = 5*i + 72 - 87. Factor 0*p + y*p**i + 0 + 3/4*p**2.
3*p**2*(p + 1)/4
Let v(j) = -j**3 - 6*j**2 - 5*j + 5. Let p be v(-5). Let t be (6/(-10))/((-1)/p). Find y, given that y - 1 + 0 + 2*y**3 - t*y + y**4 = 0.
-1, 1
Suppose 3*h - 3 = -4*z + 23, 3*z + 3*h - 18 = 0. Suppose z*i - 25 = 3*i. Determine p, given that 2*p**2 - 3*p**i - 14*p**3 - 4 - 3*p**4 + 5 + 12*p**5 + 5*p = 0.
-1, -1/3, 1
Let -9/4*r**3 - 3/2*r**4 + 3*r + 3*r**2 + 0 + 3/4*r**5 = 0. What is r?
-1, 0, 2
Let i(t) be the first derivative of 9*t**6/2 - 99*t**5/5 + 69*t**4/2 - 30*t**3 + 27*t**2/2 - 3*t + 4. Factor i(m).
3*(m - 1)**3*(3*m - 1)**2
Let g(f) be the second derivative of f**7/21 - f**6/5 - f**5/10 + f**4/2 - f. Determine v so that g(v) = 0.
-1, 0, 1, 3
Determine o, given that -49*o**3 - 624*o + 24*o**3 + 48*o - 648 + 23*o**3 + 70*o**2 = 0.
-1, 18
Let j be (-38)/(-76) + (-2)/((-4)/3). Determine c so that 1/5*c - 1/5*c**j + 2/5 = 0.
-1, 2
Let -3/5*i**2 + 2/5 + 1/5*i**4 - 1/5*i + 1/5*i**3 = 0. Calculate i.
-2, -1, 1
Let k(x) be the third derivative of x**6/24 - 35*x**4/24 + 5*x**3 - 33*x**2. Suppose k(a) = 0. What is a?
-3, 1, 2
Let w(z) = z**2 + 9*z + 10. Let l be w(-8). Let j(c) be the first derivative of -1/6*c**4 - 2/3*c**3 + 1 - 2/3*c - c**l. Let j(n) = 0. Calculate n.
-1
Let q(s) be the second derivative of 1/5*s**5 - 5*s - 2/3*s**3 + 1/3*s**4 + 0 - 2*s**2. Factor q(w).
4*(w - 1)*(w + 1)**2
Suppose 0*k + 3*k - 3*a - 36 = 0, 5*a - 50 = -5*k. Factor 0*m**2 - 10*m**4 + 2*m - m**2 + k*m**4 - 2*m**3.
m*(m - 2)*(m - 1)*(m + 1)
Factor -1/2*a**2 + 0 - 1/2*a.
-a*(a + 1)/2
Let q(f) be the second derivative of f**5/20 + f**4/12 - f**3/6 - f**2/2 - 11*f. Factor q(o).
(o - 1)*(o + 1)**2
Let o(v) be the third derivative of v**8/448 + v**7/280 - v**6/80 - v**2. Solve o(g) = 0.
-2, 0, 1
Let l(k) = -3*k + 1. Suppose 0 = r - 3*x + 2*x, -2*x - 3 = r. Let z be l(r). Solve 0*q + 0 - 1/4*q**3 + 1/4*q**5 + 0*q**z + 0*q**2 = 0.
-1, 0, 1
Let p be (14/(-6) + 2)*15. Let o(i) = 8*i**3 - 60*i**2 + 72*i - 32. Let l(u) = 3*u**3 - 24*u**2 + 29*u - 13. Let t(c) = p*o(c) + 12*l(c). Factor t(s).
-4*(s - 1)**3
Suppose -4/5 - 10*a**2 - 6*a = 0. What is a?
-2/5, -1/5
Suppose m + m - 28 = -4*y, -4*y + m = -40. Let c be 1 + ((-12)/y)/4. Suppose c*x**2 - 4/3*x + 2/3 = 0. Calculate x.
1
Let c be 1 + 7 - (6 + -10 - -9). Determine b, given that -1/3*b**5 - 2/3*b**2 + 4/3*b**c + 0*b**4 - b + 2/3 = 0.
-2, -1, 1
Let k(y) = -2*y**3 + 4*y**2 + 2*y - 4. Let s(i) = -3*i**3 + 4*i**2 + 2*i - 5. Suppose -5*a - 16 = 9. Let p(d) = a*k(d) + 4*s(d). What is n in p(n) = 0?
-1, 0
Let j(q) = -q**4 + 9*q**3 + 7*q + 5. Let a(u) = u**3 + u**2 + u + 1. Let n(y) = 20*a(y) - 4*j(y). Factor n(w).
4*w*(w - 2)*(w - 1)**2
Let i(z) be the third derivative of z**5/270 + z**4/54 - z**3/9 - 7*z**2. Factor i(p).
2*(p - 1)*(p + 3)/9
Suppose 1 = -4*u + 25. Let m(t) be the second derivative of 0*t**2 + 0 - 2/7*t**7 + 0*t**4 + t + 0*t**3 + 3/10*t**u + 3/20*t**5. Factor m(p).
-3*p**3*(p - 1)*(4*p + 1)
Let g be 16/9 - 8/(-36). Suppose -z + g*w - 5 = 5, 3*z + 15 = 3*w. Factor 2/9*r**5 + 0 + 0*r**2 + z*r + 4/9*r**4 + 2/9*r**3.
2*r**3*(r + 1)**2/9
Suppose -3*r = 5 - 14. Let 0*q**4 - 6*q**4 + 3*q**5 - r*q + 15*q**2 - 9*q**2 = 0. What is q?
-1, 0, 1
Factor 4*z**2 + 9 + 6*z - 3*z**2 - 3*z**2 - 1.
-2*(z - 4)*(z + 1)
Let t(n) be the third derivative of n**6/1440 + n**5/120 + n**4/24 + 7*n**3/6 + 2*n**2. Let k(u) be the first derivative of t(u). Factor k(z).
(z + 2)**2/4
Let l(t) be the first derivative of 3/5*t**5 - 4 - 2/3*t**3 - 3/2*t**2 + 1/6*t**6 - t + 1/2*t**4. What is j in l(j) = 0?
-1, 1
Suppose 6 = 2*o - 3*n, 0 = -5*o + 5*n + 1 + 14. Determine x so that -50/7*x**2 + 0 + 4/7*x + 208/7*x**o - 288/7*x**4 = 0.
0, 2/9, 1/4
Let q(f) be the first derivative of -f**6/21 + 12*f**5/35 - 3*f**4/7 - 40*f**3/21 + 39*f**2/7 - 36*f/7 + 27. Solve q(l) = 0 for l.
-2, 1, 3
Let b(l) be the first derivative of -l**5/10 - l**4/6 + 2*l - 3. Let q(c) be the first derivative of b(c). Factor q(t).
-2*t**2*(t + 1)
Let x(s) = 9*s**2 + 10*s + 1. Suppose -7*c + 3*c + 16 = 0. Let d(o) = 9*o**2 + 11*o + 2. Let v(g) = c*x(g) - 5*d(g). Factor v(n).
-3*(n + 1)*(3*n + 2)
Let k(c) be the second derivative of c**9/45360 - c**8/20160 - c**7/3780 - c**4/12 + 3*c. Let v(q) be the third derivative of k(q). Factor v(w).
w**2*(w - 2)*(w + 1)/3
Let m = -31/120 - -15/56. Let s(k) be the third derivative of -1/12*k**4 + 0 + 1/30*k**6 + m*k**7 + k**2 - 1/168*k**8 + 1/3*k**3 - 1/15*k**5 + 0*k. Factor s(a).
-2*(a - 1)**3*(a + 1)**2
Suppose -2 = h + y - 1, -h - 5*y - 5 = 0. Determine i so that 2/11*i**3 - 2/11*i**4 + 2/11*i**2 - 2/11*i + h = 0.
-1, 0, 1
Let y(r) = 10*r**5 + 16*r**4 + 2*r**3 - 4*r**2 + 7*r - 7. Let x(f) = 7*f**5 + 11*f**4 + f**3 - 3*f**2 + 5*f - 5. Let o(l) = 7*x(l) - 5*y(l). Factor o(m).
-m**2*(m + 1)**3
Let y(g) be the second derivative of -5*g - 2/5*g**5 + 1/15*g**6 + g**2 + g**4 + 0 - 4/3*g**3. Factor y(l).
2*(l - 1)**4
Let n(c) = -7*c**5 - 15*c**4 - 11*c**3 + 5*c**2 + 12*c + 1. Let v(l) = -8*l**5 - 16*l**4 - 12*l**3 + 4*l**2 + 12*l. Let p(j) = 4*n(j) - 3*v(j). Factor p(w).
-4*(w - 1)*(w + 1)**4
Let t(a) be the second derivative of -a**5/20 - a**4/3 - a**3/3 + 3*a**2/2 + 3*a. Let l be t(-3). Let l*v + 0 + 2/7*v**4 + 0*v**3 + 0*v**2 = 0. Calculate v.
0
Let y(d) = -d**2 - 8*d + 9. Let s(w) be the first derivative of -w**3 - 17*w**2/2 + 18*w - 4. Let c(q) = 4*s(q) - 10*y(q). Let c(z) = 0. What is z?
3
Suppose 32 = 4*x - 0. Let k(w) = -w + 10. Let p be k(x). Factor 12 + 98*n**p + 26*n + 30*n - 4.
2*(7*n + 2)**2
Let h(p) = p**2 + 1. Let d be h(-2). Solve -3*s**5 + 0*s**4 + 0*s**4 - 2*s**4 + s**3 + 4*s**d = 0.
0, 1
Solve 1/7*w**2 + 1/7 - 2/7*w = 0 for w.
1
Let y(h) be the third derivative of 0*h + 0 - 1/90*h**5 + 0*h**3 + 5/1008*h**8 + 0*h**4 + 1/315*h**7 + 5*h**2 - 1/72*h**6. Solve y(j) = 0 for j.
-1, -2/5, 0, 1
Let h(r) = -30*r + 25. Let b(n) = n**2. Let v(l) = -5*b(l) - h(l). Factor v(j).
-5*(j - 5)*(j - 1)
Let z(t) = t**2 + 2. Let s(u) = 2*u**2 - u + 1. Let y(x) = 3*s(x) - 2*z(x). Factor y(q).
(q - 1)*(4*q + 1)
Let r(g) be the first derivative of 2*g**5/45 - 5*g**4/18 + 4*g**3/9 + 4*g**2/9 - 16*g/9 - 4. Suppose r(h) = 0. Calculate h.
-1, 2
Let j be 2*(-15)/18 - -2. Let g = 2/21 + 4/7. Solve j*s**4 + 0*s + 0 - g*s**3 + 1/3*s**2 = 0.
0, 1
Let p be (-2)/1 + -7 + 12. Factor 0 + 0*s - 1/2*s**4 - 1/2*s**2 - s**p.
-s**2*(s + 1)**2/2
Factor 0 - 2/15*r**3 + 0*r - 2/15*r**2.
-2*r**2*(r + 1)/15
Let d(m) = -4*m**2 + 2*m + 13. Let o be (1 - (27 - 1)) + 3. Let u = -15 - o. Let g(y) = -y**2 + y + 4. Let w(k) = u*g(k) - 2*d(k). Factor w(i).
(i + 1)*(i + 2)
Let h be (-10)/(-45) - (-176)/18. Suppose -8 = -3*l - 4*d, 4*l + l + 5*d - h = 0. Factor l + 4/11*j + 2/11*j**2.
2*j*(j + 2)/11
Let u(t) = -t + 2. Let g be u(0). Let i(o) be the second derivative of 0*o**4 + 0 - 2*o + 0*o**g - 1/20*o**5 + 1/6*o**3. Find k such that i(k)