 - 1/60*j**5 - 1/360*j**6 + 0 - 1/6*j**3. Let p(v) be the second derivative of w(v). Solve p(o) = 0.
-2, 0
Let s(x) be the second derivative of x**4/12 - 2*x**3/3 + 3*x**2/2 + x + 2. Factor s(z).
(z - 3)*(z - 1)
Let a(v) be the first derivative of 2/35*v**5 + 1/14*v**4 - 2/21*v**3 + 0*v - 1 - 1/7*v**2. Find x, given that a(x) = 0.
-1, 0, 1
Let j be 6/21 - 1/28. Let i(w) = -2*w - 4. Let k be i(-3). Determine h so that 1/4*h**k + 0 + 0*h - j*h**3 = 0.
0, 1
Let p(d) be the first derivative of d**4/10 + 8*d**3/15 + d**2 + 4*d/5 + 13. Suppose p(b) = 0. Calculate b.
-2, -1
Let k(r) be the second derivative of r**4/9 + 2*r**3/9 - 25*r. Factor k(s).
4*s*(s + 1)/3
Let j be 27*(-1 - 2/(-3)). Let l = j + 13. Suppose 0 + 2/7*m - 4/7*m**l - 2/7*m**5 + 0*m**3 + 4/7*m**2 = 0. Calculate m.
-1, 0, 1
Let v be (-3)/(35/(-10) + 2). Factor 2/5*z**v - 2/5*z + 2/15 - 2/15*z**3.
-2*(z - 1)**3/15
Let l(n) = n**2 + n - 3. Let d be l(-4). Let w be (2 + 1)*6/d. Factor 2*v**3 + 0*v + 2*v - 2*v**w + 2*v**4 - 4*v.
2*v*(v - 1)*(v + 1)**2
Let j be (-1 + (-3 - 0))*-1. Suppose -j*z = -5*z. Suppose -1 - t**2 + 3 + z*t - t = 0. What is t?
-2, 1
Let o(q) be the second derivative of -q**6/60 - q**5/8 - 3*q**4/8 - 7*q**3/12 - q**2/2 + 2*q. Factor o(d).
-(d + 1)**3*(d + 2)/2
Let j(c) be the third derivative of c**8/80640 - c**7/20160 + c**5/30 + 3*c**2. Let s(v) be the third derivative of j(v). Factor s(k).
k*(k - 1)/4
Let b(g) be the third derivative of g**6/300 - 14*g**2. What is q in b(q) = 0?
0
Let o(a) be the second derivative of -1/6*a**4 - 1/21*a**7 + 0 + 1/10*a**5 + 1/15*a**6 + 0*a**3 - 4*a + 0*a**2. Find k such that o(k) = 0.
-1, 0, 1
Suppose -19 = -t + 4*z, -5*z + 5 = 3*t - 1. Let s be (-5)/((-25)/t) - 1. Suppose 0*c - s*c**4 + 0 - 2/5*c**2 + 4/5*c**3 = 0. Calculate c.
0, 1
Let i(d) = d - 8. Let j = -10 - -20. Let w be i(j). Factor 28*l**w - 40*l - 6*l**3 + 1 + 16 - 1.
-2*(l - 2)**2*(3*l - 2)
Let h = -1 + 7. Let c be (-1)/h*-2 + 0. Factor -1/3*a + 1/3*a**4 - c*a**2 + 1/3*a**3 + 0.
a*(a - 1)*(a + 1)**2/3
Let z(i) be the third derivative of i**5/6 - i**4/6 + 6*i**2. Determine b, given that z(b) = 0.
0, 2/5
Factor 8/3*v**2 + 0 - 2/3*v**4 + 16/3*v - 4/3*v**3.
-2*v*(v - 2)*(v + 2)**2/3
Let s be 7/(126/96) - 5. Let t be ((-21)/(-7))/((-6)/(-4)). Factor 0*l + l**t - 2/3*l**3 - s.
-(l - 1)**2*(2*l + 1)/3
Suppose -4*d = 3*f + 6, -f - 4*d - 1 = -3*d. Let n(m) be the second derivative of -1/15*m**3 + m + 0*m**4 + 0*m**f + 1/50*m**5 + 0. Factor n(h).
2*h*(h - 1)*(h + 1)/5
Let n = 3 + -7. Let z be 1/n + 15/4. Factor -z*d**2 - 1 - 9/2*d.
-(d + 1)*(7*d + 2)/2
What is o in 13*o**2 - 7*o - 4*o - 17*o**2 - o - 8 = 0?
-2, -1
Let r(h) be the second derivative of 5*h**7/14 + h**6/3 - h**5 - 5*h**4/6 + 5*h**3/6 + 3*h - 2. Let r(q) = 0. What is q?
-1, 0, 1/3, 1
Let g(d) be the third derivative of -d**6/300 + d**5/75 + d**4/20 + d**2. Factor g(z).
-2*z*(z - 3)*(z + 1)/5
Let x(c) be the first derivative of 1/5*c**2 + 0*c + 8/25*c**5 - 9 - 7/10*c**4 + 4/15*c**3. Factor x(v).
2*v*(v - 1)**2*(4*v + 1)/5
Suppose -40 = -3*o + 4*o. Let y = 121/3 + o. Factor 1/3*z**2 - y*z + 0.
z*(z - 1)/3
Let b(m) = m**3 + 3*m**2 - 4*m - 2. Let g be b(-4). Let j(s) = 2*s + 4. Let q be j(g). Factor q + 1/3*u**2 - 1/3*u.
u*(u - 1)/3
Let y = -10 - -7. Let q be 2 - (y - 0 - -3). Determine u so that -3*u**2 - 1/2*u**4 - 1/2 - q*u**3 - 2*u = 0.
-1
Let b(f) = -f**2 + f - 4. Let g(c) = 2*c**2 - 2*c + 3. Let o(t) = 7*b(t) + 6*g(t). Solve o(v) = 0.
-1, 2
Factor 16/19*i**4 - 56/19*i + 4*i**2 - 2/19*i**5 - 50/19*i**3 + 16/19.
-2*(i - 2)**3*(i - 1)**2/19
Let w(o) = -o - 1. Let h be w(0). Let i(s) = -3*s**3 + 15*s**2 - 15*s + 21. Let a(b) = b**2 - b + 1. Let l(q) = h*i(q) + 18*a(q). Factor l(p).
3*(p - 1)*(p + 1)**2
Let h(s) be the second derivative of -7*s**9/648 + s**8/90 - s**7/315 + s**3/2 - 4*s. Let t(b) be the second derivative of h(b). Factor t(w).
-2*w**3*(7*w - 2)**2/3
Let n(x) be the third derivative of -x**6/2880 + x**5/240 - x**4/64 - x**3/2 + 6*x**2. Let a(t) be the first derivative of n(t). Factor a(z).
-(z - 3)*(z - 1)/8
Suppose 2*b - 4*c = 26, -c + 9 = -2*b - 4*c. Let x(q) be the second derivative of 0*q**2 + 4/15*q**6 - 9/10*q**5 + q**4 + 2*q - 1/3*q**b + 0. Factor x(u).
2*u*(u - 1)**2*(4*u - 1)
Let u(l) = l - 26. Let p be u(26). Solve 2/7*t**3 - 2/7*t**2 + 2/7*t**4 - 2/7*t + p = 0.
-1, 0, 1
Let s(k) = -k**5 - 20*k**4 + 27*k**3 - 11*k**2 - 5*k. Let q(t) = -t**5 - 10*t**4 + 13*t**3 - 5*t**2 - 3*t. Let g(u) = -5*q(u) + 3*s(u). Factor g(c).
2*c**2*(c - 2)**2*(c - 1)
Let r(c) = 5*c + 58. Let x be r(-11). Factor 4/9*d**4 - 2/9 + 2/3*d**2 + 10/9*d**x - 2/9*d.
2*(d + 1)**3*(2*d - 1)/9
Suppose -2*i - 5*r - 15 = 0, -15 + 55 = 5*i - 3*r. Let i*x + 12*x**2 - 11*x + 8 - 12*x - 2*x = 0. Calculate x.
2/3, 1
Factor -8 + 9*u**3 - 4*u**3 - 60*u**2 + u**3 + 74*u**2.
2*(u + 1)*(u + 2)*(3*u - 2)
Let o(i) = 2*i + 2. Let q be o(2). Let y be (q/1)/(-4 - -6). Solve -1/5*z - 1/5 - 16/5*z**4 - 16/5*z**5 + 8/5*z**2 + 8/5*z**y = 0.
-1, -1/2, 1/2
Factor 6*a**2 + 3*a**2 + 2*a**2 - 5*a - 6*a**2.
5*a*(a - 1)
Let y = -424 - -849/2. Factor y*b + 0 + 5/4*b**2 + b**3 + 1/4*b**4.
b*(b + 1)**2*(b + 2)/4
Let h = -1963/7 - -281. Factor 6/7*q + h + 0*q**2 - 2/7*q**3.
-2*(q - 2)*(q + 1)**2/7
Let l = -142 + 712/5. Determine g so that -1/5*g**4 - l*g + 0 + 3/5*g**3 - 1/5*g**5 + 1/5*g**2 = 0.
-2, -1, 0, 1
Let o(d) be the first derivative of 8 - 4*d + 2*d**2 - 1/3*d**3. Factor o(m).
-(m - 2)**2
Let r(p) be the first derivative of 0*p**2 - 1/14*p**4 + 0*p + 2/35*p**5 + 1/21*p**6 - 2/21*p**3 - 4. Determine m so that r(m) = 0.
-1, 0, 1
Let a(g) be the first derivative of g**9/1008 + g**8/280 - g**6/60 - g**5/40 - g**3 - 4. Let l(t) be the third derivative of a(t). Let l(r) = 0. What is r?
-1, 0, 1
Let v = -4 - -6. Suppose x = -0*x + v. Determine y, given that x*y**3 - 4*y**3 + 2*y + 0*y**3 = 0.
-1, 0, 1
Let j(b) be the first derivative of b**6/27 - b**4/9 + b**2/9 + 11. Factor j(c).
2*c*(c - 1)**2*(c + 1)**2/9
Let p(d) be the first derivative of 2*d**5/115 - 3*d**4/46 - 4*d**3/69 + 12*d**2/23 - 16*d/23 + 17. Solve p(q) = 0.
-2, 1, 2
Let l(f) be the second derivative of 2*f - 1/9*f**2 + 0 - 1/54*f**4 - 2/27*f**3. Determine j so that l(j) = 0.
-1
What is z in 0 - 2/3*z**2 - 10/3*z = 0?
-5, 0
Let i be (-2 - -5)*(-5)/(-3). Suppose -2*t + b + 5 = -0*b, -4*b - i = -3*t. Factor 2*p**4 - t*p**4 - 3*p**2 + 5*p**2 - 3 + 2.
-(p - 1)**2*(p + 1)**2
Let y(g) be the third derivative of g**8/588 - 2*g**7/245 + g**6/70 - g**5/105 - 5*g**2. Factor y(c).
4*c**2*(c - 1)**3/7
Let k be -5 + 7/1 - 2. Determine p so that 2/5*p**5 - 2/5*p + k + 4/5*p**2 - 4/5*p**4 + 0*p**3 = 0.
-1, 0, 1
Suppose -4*j + 7 + 5 = -2*a, 3*j - 12 = 0. Factor 3/5*s**4 - 3/5*s**3 + 0 - 3/5*s**a + 3/5*s.
3*s*(s - 1)**2*(s + 1)/5
Let 1/4*y**2 - 1/8*y**3 + 0*y + 0 = 0. What is y?
0, 2
Let n(t) = t**3 - 9*t**2 - 6*t - 4. Let k(r) = -2*r**3 + 9*r**2 + 6*r + 5. Let p(d) = 4*k(d) + 5*n(d). Factor p(v).
-3*v*(v + 1)*(v + 2)
Suppose 28/3*z - 8 - 2*z**2 + 1/3*z**4 - z**3 = 0. What is z?
-3, 2
Let i(k) be the second derivative of -3*k**5/5 - 16*k**4/3 - 10*k**3 + 36*k**2 + 16*k. Find g, given that i(g) = 0.
-3, 2/3
Let i be (0 + (-4)/(-56))*-11. Let o = -2/7 - i. Determine n so that 1/2*n**3 + 0 + 0*n**2 - o*n = 0.
-1, 0, 1
Let d(q) be the second derivative of -3*q**5/20 - q**4/2 + q**3/2 + 3*q**2 - 8*q. Let d(y) = 0. Calculate y.
-2, -1, 1
Let t(l) be the second derivative of -2*l**6/21 + 13*l**5/35 - 3*l**4/7 - 2*l**3/21 + 4*l**2/7 + 5*l. Factor t(j).
-4*(j - 1)**3*(5*j + 2)/7
Let o(w) = -w**2 + 4*w - 4. Let x be o(4). Let l(n) = -n**3 - 3*n**2 + 4*n + 5. Let m be l(x). What is a in m*a**2 + 3*a**3 + a**2 + 2*a - a**3 + 2*a = 0?
-2, -1, 0
Let w(j) = -4*j**3 - j**2. Let l be w(-2). Let h be 1/2 + (-7)/l. What is s in 0*s - h*s**2 + 1/4 = 0?
-1, 1
Let g(d) = -d**2 + 3*d - 2. Let i be g(1). Suppose u - 9 = -3*x, i = -2*u + u + 2*x - 1. Determine p, given that -p**2 + 0 + 1/2*p + 1/2*p**u = 0.
0, 1
Let v(l) be the first derivative of l**6/105 + 3*l**5/70 + l**4/21 + 6*l - 3. Let q(g) be the first derivative of v(g). Factor q(j).
2*j**2*(j + 1)*(j + 2)/7
Let i(y) be the second derivative of y**4/72 - y**3/9 + y**2/4 + 6*y. What is o in i(o) = 0?
1, 3
Let q(b) = b**3 + 4*b**2 + 3*b + 5. Let x be q(-3). Find n such that 2*n**