e the second derivative of -z**4/4 - 7*z**3/2 - 3*z - 2. Solve v(j) = 0 for j.
-7, 0
Let d be -1*((-1 - -1) + -4). Let j = -2 + d. Factor -t**2 + 4*t + j - 2*t + 0*t - t.
-(t - 2)*(t + 1)
Let n(k) be the third derivative of k**5/40 + k**4/8 + 7*k**2. Suppose n(z) = 0. What is z?
-2, 0
Suppose 2 = -o, -3*o = 3*c - 0*o. Let n(j) be the second derivative of 0 + 0*j**3 + 6*j**c - 3/20*j**5 - 3/4*j**4 + 3*j. Find k, given that n(k) = 0.
-2, 1
Let t(y) be the second derivative of 9*y**6/10 - 6*y**5/5 + 5*y**4/4 + 2*y**3 + 15*y**2/2 - y. Let j(g) = g**4 + g + 1. Let r(s) = 15*j(s) - t(s). Factor r(v).
-3*v*(v - 1)*(2*v - 1)**2
Let z = 8 + -8. Let u be (z + -3)/(-5 - -4). Determine b so that 4*b + 0*b**2 - 4 + u*b**2 - 5*b**2 + 2 = 0.
1
Let c = -8 - -13. Let 6*m**2 + 2*m - 5*m - 2 + 2*m + c*m = 0. Calculate m.
-1, 1/3
Find n such that -53*n**3 + 4 + 35*n**2 - 16*n - 8*n + 52*n**3 + 25*n**5 - 45*n**4 + 6*n**2 = 0.
-1, 2/5, 1
Factor -3/2 + 0*h + 3/2*h**2.
3*(h - 1)*(h + 1)/2
Let 135/2*m + 5/2*m**3 + 75/2*m**2 + 65/2 = 0. What is m?
-13, -1
Let g = 136/3 + -134/3. Factor 4/3 - g*b - 2/3*b**2.
-2*(b - 1)*(b + 2)/3
Let s(i) be the second derivative of -2401*i**6/10 + 4116*i**5/5 - 1176*i**4 + 896*i**3 - 384*i**2 + 13*i. What is f in s(f) = 0?
4/7
Let h(i) = -7*i - 18. Let j be h(-3). Factor -1/3*n**j + 0*n + 0 - 2/3*n**2.
-n**2*(n + 2)/3
Let j = -5 + 5. Let l(h) be the second derivative of 0*h**2 - h + j*h**3 + 0 + 1/6*h**4. Find w, given that l(w) = 0.
0
Let r(k) be the second derivative of -k**9/22680 - k**8/2520 - k**7/756 - k**6/540 - k**4/3 - 3*k. Let j(c) be the third derivative of r(c). Factor j(d).
-2*d*(d + 1)**2*(d + 2)/3
Let i(v) be the first derivative of -1/3*v**3 + 3 + 0*v**2 + v. Let i(x) = 0. Calculate x.
-1, 1
Let d(y) be the second derivative of y**6/45 - 2*y**4/9 - 22*y. Solve d(h) = 0.
-2, 0, 2
Let g = 5 + 0. What is p in -p + 0*p**5 + p + p**3 - p**g = 0?
-1, 0, 1
Factor 51/4*o + 3 + 3*o**2.
3*(o + 4)*(4*o + 1)/4
Let k = -5/2 - -23/6. Factor 2*v**5 - k*v**4 + 0*v + 0 + 0*v**2 - 2/3*v**3.
2*v**3*(v - 1)*(3*v + 1)/3
Let v(j) = j**3 - 10*j**2 + 10*j - 5. Let c be v(9). Determine k so that 5*k**3 - 3*k**2 + 2*k**3 - c*k**3 = 0.
0, 1
Let h = -65/2 - -329/10. Let s = -207 + 1039/5. Determine n, given that s*n + 2/5 + h*n**2 = 0.
-1
Let b be (-60992)/(-20) + (-8)/(-20). Let v = b + -14887/5. Find g, given that -132/5*g + v*g**2 + 12/5 = 0.
2/11
Let x = -13 - -7. Let h be (-4)/10*10/x. Factor 2/3*k + 0*k**2 + 0 - h*k**3.
-2*k*(k - 1)*(k + 1)/3
Let h be 6/33 - 2/132. Let w(g) be the first derivative of 0*g**2 + 1/2*g + 2 - h*g**3. Find q such that w(q) = 0.
-1, 1
Let o be 6/28 - (-2)/49*7. Factor -n + 1/2 + 0*n**2 + n**3 - o*n**4.
-(n - 1)**3*(n + 1)/2
Let l(p) be the first derivative of p**5/90 - p**4/9 + p**3/3 - 7*p**2/2 + 9. Let b(k) be the second derivative of l(k). Factor b(f).
2*(f - 3)*(f - 1)/3
Let g be (77/33)/(1/3). Let p = g + -13/2. Let 0*j - 1/4*j**4 - 1/4*j**2 + 0 + p*j**3 = 0. What is j?
0, 1
Suppose -3*a**3 - 312*a + 313*a + 2*a**5 - a**5 + a**3 = 0. What is a?
-1, 0, 1
Determine t, given that 2/5 - 2/5*t**2 + 0*t = 0.
-1, 1
Determine d, given that 13*d**3 - 5*d**5 + 0*d**5 + 2*d**2 + 2*d**3 + 8*d**2 = 0.
-1, 0, 2
Suppose 99 + 9 = -4*i. Let x be (i/12 - -3)*1. Factor -1 + h + x*h**2 + 1/4*h**4 - h**3.
(h - 2)**2*(h - 1)*(h + 1)/4
Suppose 0 = -4*d + 34 - 14, 2*p + 32 = 4*d. Let a = -3 - p. Factor 3*h**2 + 3*h + h**a - 2 - 1 + 5 - 1.
(h + 1)**3
Let r(b) be the first derivative of 2/9*b**3 + 0*b - 2/45*b**5 + 2/9*b**2 + 0*b**4 + 1. Factor r(x).
-2*x*(x - 2)*(x + 1)**2/9
Let t(k) be the first derivative of 2*k**6/21 + 4*k**5/35 - k**4/7 - 4*k**3/21 + 2. Factor t(q).
4*q**2*(q - 1)*(q + 1)**2/7
Determine j, given that -7 - 5*j**2 + 3 - 15*j - 6 = 0.
-2, -1
Solve -48/5*v**2 - 1/5 - 64/5*v**3 - 12/5*v = 0 for v.
-1/4
Solve -4*l**2 - 2*l**3 + 0*l**2 - 70 + 6*l**4 + 70 = 0.
-2/3, 0, 1
Factor -144/5*s + 192/5 + 36/5*s**2 - 3/5*s**3.
-3*(s - 4)**3/5
Let z be 38/4 - 9/6. Suppose z*n**2 + 18*n**3 + 16 - 40*n + n**2 + 3*n**2 = 0. What is n?
-2, 2/3
Let s(l) be the third derivative of l**7/420 + l**6/240 - l**5/120 - l**4/48 - 11*l**2. What is o in s(o) = 0?
-1, 0, 1
Let d = 20 - 20. Let z(o) be the third derivative of 0 - 1/330*o**5 + d*o + 0*o**3 + 1/1155*o**7 + o**2 + 1/132*o**4 - 1/660*o**6. Factor z(c).
2*c*(c - 1)**2*(c + 1)/11
Let d(c) = c**3 - 7*c**2 + 7*c - 3. Let m be d(6). Factor 6/7*i**2 - 6/7*i + 2/7 - 2/7*i**m.
-2*(i - 1)**3/7
Suppose 0 = 2*a - a + 3. Let d be a/(-6)*(-4)/(-1). Determine z, given that -z + z**d - 5*z**2 - 2*z**3 - z = 0.
-1, 0
Let l(u) be the third derivative of 0*u + 1/60*u**6 + 0*u**3 + 2/105*u**7 + 0*u**4 + 0*u**5 + 5*u**2 + 1/168*u**8 + 0. Let l(s) = 0. What is s?
-1, 0
Let r(a) be the third derivative of -1/12*a**3 + 1/32*a**4 + 4*a**2 + 1/840*a**7 + 1/240*a**5 + 0*a + 0 - 1/160*a**6. Factor r(t).
(t - 2)*(t - 1)**2*(t + 1)/4
Let j = -194 - -196. Determine x, given that 7/3*x + x**j + 2/3 = 0.
-2, -1/3
Let c(m) be the second derivative of -m**6/10 + 21*m**5/20 - 3*m**4/2 - 21*m. Factor c(d).
-3*d**2*(d - 6)*(d - 1)
Determine r, given that -1/2*r**3 + 0*r + 1/4*r**2 + 0 + 1/4*r**4 = 0.
0, 1
Let a be ((-6)/36)/((-1)/3). Let y(h) be the first derivative of 1 + 0*h - 1/4*h**2 - a*h**3. Factor y(j).
-j*(3*j + 1)/2
Let g be -2 - (-4 - -3)*4. Suppose 2/3*z - 4/3*z**g + 0 = 0. Calculate z.
0, 1/2
Let v(p) = -p**4 + p**3 - p - 1. Let s(n) = -119*n**4 + 526*n**3 - 664*n**2 + 194*n - 14. Let f(y) = 3*s(y) + 6*v(y). Factor f(h).
-3*(h - 2)**2*(11*h - 2)**2
Let g(o) = o. Suppose 0 = f + f - 4. Let u be g(f). Suppose 0 + 4/9*b - 2/9*b**u = 0. What is b?
0, 2
Let u(z) be the second derivative of -z**8/9240 + z**6/1980 - z**3/6 - 3*z. Let c(x) be the second derivative of u(x). Solve c(m) = 0.
-1, 0, 1
Let v = -2 - -7. Factor 4*h**4 - h**5 - v*h**3 + 2*h**4 + 2*h**2 - 2*h**4.
-h**2*(h - 2)*(h - 1)**2
Let p(y) be the second derivative of y**7/1260 - y**4/4 - 2*y. Let h(n) be the third derivative of p(n). Factor h(x).
2*x**2
Let d be 4 - (2/(-2))/1. Let m be (-2)/(-5)*(10 - d). What is x in -2*x**2 + m*x - 4 - x + 5*x = 0?
1, 2
Let j(x) be the first derivative of 4/7*x + 2/21*x**3 + 4 - 3/7*x**2. Factor j(z).
2*(z - 2)*(z - 1)/7
Let m = 711 - 707. Suppose 3/2*y**3 + 1 - 3/2*y - 1/2*y**m - 1/2*y**2 = 0. Calculate y.
-1, 1, 2
Let j = -81 + 83. Factor 1/5*f**j - 1/5*f**3 + 0*f + 0.
-f**2*(f - 1)/5
Let a(b) be the first derivative of 20/3*b**2 - 28/9*b**3 - 2 + 1/2*b**4 - 16/3*b. Find v, given that a(v) = 0.
2/3, 2
Let l(a) be the second derivative of -a**4/18 + 8*a**3/9 - 16*a**2/3 - 3*a. Factor l(v).
-2*(v - 4)**2/3
Let r(b) be the third derivative of b**5/210 - b**4/42 + b**3/21 - 2*b**2. Solve r(n) = 0 for n.
1
Suppose -27 = -5*t - 0*o - 3*o, 9 = -t + 3*o. Let z(b) be the second derivative of 0 - 1/70*b**5 - 1/7*b**2 - b + 1/21*b**t + 1/42*b**4. Factor z(k).
-2*(k - 1)**2*(k + 1)/7
Let 0 + 2/11*o - 2/11*o**2 = 0. What is o?
0, 1
Let u(r) = 22*r - 66. Let c be u(3). Find x such that -1/2*x**2 + x + c = 0.
0, 2
Let s(y) be the first derivative of y**6/6 - y**5/5 - y**4/2 + 2*y**3/3 + y**2/2 - y + 1. Suppose s(k) = 0. Calculate k.
-1, 1
Let i(x) be the second derivative of 1/10*x**6 + 3/20*x**5 - 1/14*x**7 + 0*x**2 + 0*x**3 - 5*x - 1/4*x**4 + 0. Determine y so that i(y) = 0.
-1, 0, 1
Let i be 22/6 + 0 - (-4 - -7). Let -1/3*x**2 + i*x - 1/3 = 0. What is x?
1
Let c be 8/(-100)*5*25/(-4). Factor 2*q**3 - 2*q**4 + 1 + q**2 + 1/2*q**5 - c*q.
(q - 2)*(q - 1)**3*(q + 1)/2
Let b(x) be the first derivative of -22/9*x**3 + 5 + 5/6*x**4 - 2/3*x + 7/3*x**2. Suppose b(a) = 0. Calculate a.
1/5, 1
Let q(r) be the first derivative of r**5/25 + r**4/10 + r**3/15 + 45. Factor q(p).
p**2*(p + 1)**2/5
Let i(w) = w**3 + 7*w**2 - 10*w - 9. Let t be i(-8). Let j(r) = r**3 - 6*r**2 - 8*r + 10. Let g be j(t). Solve -1/2 + f**2 - 1/2*f**4 + 0*f**g + 0*f = 0 for f.
-1, 1
Let t = -11 + 10. Let x = t - -3/2. Find o such that 0 - x*o**2 + o - 1/2*o**3 = 0.
-2, 0, 1
Solve -18/7 - 2/7*a**3 + 10/7*a**2 - 6/7*a = 0.
-1, 3
Let x(r) be the second derivative of r**7/189 + r**6/135 - r**5/90 - r**4/54 - 13*r. Suppose x(p) = 0. What is p?
-1, 0, 1
Let w = 18 + -16. Let a(s) be the first derivative of -w + 0*s + 1/10*s**5 + 1/2*s**3 - 3/8*s**4 - 1/4*s**2. Solve a