 + 2*f - 7. Let r(y) = 5*n(y) + 6*p(y). Let r(v) = 0. What is v?
-2, -1
Factor 4*n**2 + 0*n**2 + 1 - 7*n**2 + 2*n**2.
-(n - 1)*(n + 1)
Let j be (-27)/6*4/3. Let l(o) = o**2 + 7*o + 9. Let c be l(j). Factor 2*i**2 - i**3 - 4 + c + i - 1.
-(i - 2)*(i - 1)*(i + 1)
Let o(j) be the second derivative of j**6/40 + j**5/5 + 5*j**4/8 + j**3 + j**2/2 + 2*j. Let d(w) be the first derivative of o(w). Factor d(f).
3*(f + 1)**2*(f + 2)
Factor -2 - 21/2*n**2 - 12*n + 49/2*n**3.
(n - 1)*(7*n + 2)**2/2
Let w(d) be the second derivative of 0 - 1/18*d**4 + 2/9*d**3 - 1/3*d**2 - 3*d. Factor w(r).
-2*(r - 1)**2/3
Let n(h) be the second derivative of 0 - 1/25*h**5 - 2*h - 1/5*h**2 + 1/75*h**6 + 0*h**4 + 2/15*h**3. Factor n(u).
2*(u - 1)**3*(u + 1)/5
Let w(r) be the third derivative of -1/2*r**4 - 2/9*r**3 + 0 + 0*r + 3*r**2 - 9/20*r**5. Determine l, given that w(l) = 0.
-2/9
Let k(a) = 2*a + 16. Let u be k(-12). Let z = u - -10. Let 4*b - 3*b - 2 + b**z - 5*b + 5*b = 0. What is b?
-2, 1
Let p(y) be the third derivative of -3*y**6/40 + 19*y**5/60 - 11*y**4/24 + y**3/6 - 41*y**2. Solve p(g) = 0 for g.
1/9, 1
Suppose -3 = -5*k + 7. Determine a so that -13*a + 2*a**3 + 4*a + k*a + 5*a = 0.
-1, 0, 1
Let j(o) be the second derivative of -o**7/840 - o**6/480 + o**5/240 + o**4/96 - 2*o**2 - 4*o. Let a(l) be the first derivative of j(l). Factor a(d).
-d*(d - 1)*(d + 1)**2/4
Factor 0*r + 0 + 12/5*r**2 + 4/5*r**3.
4*r**2*(r + 3)/5
Factor 3/2*o**2 + 5/2*o + 1 - 1/2*o**3 - 1/2*o**4.
-(o - 2)*(o + 1)**3/2
Let h be (-5)/(-2 - (-1 - 2)). Let t(a) = a**3 + 12*a**2 - 8*a. Let q(w) = -12*w**2 + 8*w. Let k(b) = h*q(b) - 4*t(b). Solve k(c) = 0.
0, 1, 2
Find r such that 24*r - 42/5*r**2 - 10 + 4/5*r**3 = 0.
1/2, 5
Let c be (3 - -4)*(-10)/(-7). Let k(i) = i**2 - 9*i - 10. Let q be k(c). Factor -2/3*s**2 + 0 + q*s.
-2*s**2/3
Suppose 2*p + 12*p = 0. Factor 2/7*x**2 + 2/7*x**3 - 4/7*x + p.
2*x*(x - 1)*(x + 2)/7
Determine c, given that -3*c**2 + 6*c - 5*c - 8*c - 2*c = 0.
-3, 0
Let t(m) = -m**2 - 6*m - 6. Suppose -4*g = 4*f, 0 = 5*f - 3*g - 0 + 32. Let p be t(f). Factor -2*d**2 - 2*d + d**3 + 7*d - d**p - 3*d.
d*(d - 2)*(d - 1)
Let k(c) be the third derivative of -c**5/80 - 7*c**4/32 - 3*c**3/4 - 31*c**2. Factor k(q).
-3*(q + 1)*(q + 6)/4
Let y be -1 - -2 - 4/(-2). Suppose r - 4 = -0*r. Suppose 2*m + 6*m**y - 2*m**2 + 0*m**3 - 4*m**2 - 2*m**r = 0. What is m?
0, 1
Let n(i) be the second derivative of i**4/3 - 16*i**3/3 + 14*i**2 + 4*i. What is k in n(k) = 0?
1, 7
Let b(c) be the second derivative of c**6/50 - 3*c**5/100 - c**4/20 + c**3/10 + 6*c. Factor b(n).
3*n*(n - 1)**2*(n + 1)/5
Let j(h) = 9*h**3 - 1. Let b be j(1). Determine a so that -6*a**2 + a**2 + b*a**3 + 5*a**2 - 4*a**4 = 0.
0, 2
Let j(u) be the third derivative of 0*u - 1/280*u**7 - 3/80*u**6 + 0 - 1/2*u**3 + 2*u**2 - 13/80*u**5 - 3/8*u**4. Solve j(l) = 0.
-2, -1
Let w(k) be the third derivative of 2*k**7/105 + k**6/30 - k**5/5 - k**4/6 + 4*k**3/3 + 38*k**2. Find n such that w(n) = 0.
-2, -1, 1
Determine o, given that -2/11 - 4/11*o + 6/11*o**2 = 0.
-1/3, 1
Let w(x) = x**5 - x**3 + 2*x**2 - 2*x. Let u(l) = -3*l**5 + 3*l**3 - 9*l**2 + 9*l. Let h(d) = -2*u(d) - 9*w(d). Factor h(y).
-3*y**3*(y - 1)*(y + 1)
Suppose 3 = -3*k + 12. Factor -2/5*i**5 - 4/5*i**2 + 2/5*i + 4/5*i**4 + 0 + 0*i**k.
-2*i*(i - 1)**3*(i + 1)/5
Let v = 0 - -1. Suppose -4*m = -13 + v. Find r, given that r**2 + r - m*r**5 - 2*r**4 + 2*r**5 + r**2 = 0.
-1, 0, 1
Let r(q) be the second derivative of -q**4/28 - q**3/7 - 3*q**2/14 - q. Determine n, given that r(n) = 0.
-1
Let a(z) be the third derivative of -1/66*z**4 - 1/330*z**5 + 0 - 1/33*z**3 + 0*z - z**2. Factor a(s).
-2*(s + 1)**2/11
Let k(o) = o**5 - o**4 - o - 1. Let q(g) = g**5 - 2*g**4 + 2*g**3 - 3*g - 2. Let j(v) = 6*k(v) - 3*q(v). Factor j(d).
3*d*(d - 1)**2*(d + 1)**2
Suppose -3*v = 4*v - v. What is a in 0*a + v*a**4 + 2/7*a**5 + 0 - 2/7*a**3 + 0*a**2 = 0?
-1, 0, 1
Let q(l) be the second derivative of 1/2*l**2 - l - 1/24*l**3 + 1/240*l**5 + 0 + 0*l**4. Let y(r) be the first derivative of q(r). Find k such that y(k) = 0.
-1, 1
Factor -3*s - 2*s**2 + 8*s - 3*s.
-2*s*(s - 1)
Let z(i) be the third derivative of -1/2*i**4 + 0 + 0*i - 1/15*i**6 - 2/3*i**3 - 1/1344*i**8 - 3/280*i**7 - 7/30*i**5 - i**2. Factor z(m).
-(m + 1)*(m + 2)**4/4
Let j(b) be the first derivative of -b**4/32 - b**3/6 - 5*b**2/16 - b/4 + 39. Suppose j(h) = 0. What is h?
-2, -1
Factor 2/3*h + 2/9 + 2/9*h**3 + 2/3*h**2.
2*(h + 1)**3/9
Let j(o) be the third derivative of -o**6/40 + o**5/20 + o**4/8 - o**3/2 + 3*o**2. Factor j(g).
-3*(g - 1)**2*(g + 1)
Let a(p) = -7 - 4*p**3 + 7*p**2 - 11*p + 2*p**2 + 5*p**3. Let s be a(-10). Factor 2/5*c**s - 2/5 - 6/5*c**2 + 6/5*c.
2*(c - 1)**3/5
Let z = 7 - 8. Let g = -7/9 - z. Factor 2/9*x**2 + g*x + 0 - 2/9*x**3 - 2/9*x**4.
-2*x*(x - 1)*(x + 1)**2/9
Solve -51*q**4 - 161*q**2 + 16*q**4 + 40 + 60*q + 165*q**3 - 125*q**2 + 56*q**2 = 0.
-2/7, 1, 2
Let m(s) = s**3 + 6*s**2 + 5*s + 3. Let p be m(-5). Find x, given that 21 + 3*x - 6*x**2 + p*x**3 - 21 = 0.
0, 1
Factor -2*s**4 - 2*s**2 + s**4 + 0*s**2 - 5*s**4 - 8*s**3.
-2*s**2*(s + 1)*(3*s + 1)
Suppose -3*k - 2 = f, 0 = -k - 0 - 5. Suppose -y - y = 4*v - 14, -2*y = -5*v + f. Factor y - h**3 - 2*h**2 + h**5 + h - 2*h**3 + h**3 + h**4.
(h - 1)**2*(h + 1)**3
Let 0*u + 0 - 1/3*u**2 = 0. Calculate u.
0
Let l(m) = 7*m**3 - 5*m**2 - 20*m. Let j(w) = 0*w - 6 + 1 - w + 6. Let d(i) = -4*j(i) + l(i). Determine p so that d(p) = 0.
-1, -2/7, 2
Let g = 12 + -6. Suppose -3*c - g = -4*c. Factor -2*u**3 - 3*u - 4*u + c*u**2 + u + 2.
-2*(u - 1)**3
Let o(p) be the second derivative of p**5/30 - p**3/3 - p**2/2 + 3*p. Let g(u) be the first derivative of o(u). Factor g(b).
2*(b - 1)*(b + 1)
Let c(p) be the first derivative of 49*p**6/15 + 14*p**5/5 + 2*p**4/3 + 3*p + 1. Let w(t) be the first derivative of c(t). Suppose w(y) = 0. Calculate y.
-2/7, 0
Let j(h) be the third derivative of 0 + 0*h - 1/84*h**4 - 2*h**2 - 1/210*h**5 + 1/420*h**6 + 1/21*h**3. Factor j(v).
2*(v - 1)**2*(v + 1)/7
Let k(w) be the second derivative of w**6/180 + w**5/24 + w**4/9 + w**3/9 + 5*w. Determine l so that k(l) = 0.
-2, -1, 0
Let j(c) be the second derivative of 1/54*c**4 - c + 1/9*c**3 + 2/9*c**2 + 0. Suppose j(y) = 0. What is y?
-2, -1
Let j be ((-12)/9)/(4/6). Let i be ((-1)/j)/((-25)/(-20)). Factor -2/5*f + 0 + i*f**2.
2*f*(f - 1)/5
Factor -9*q**4 - 4*q**4 + 9*q**4 - 12*q**3.
-4*q**3*(q + 3)
Suppose 0 = -6*v + 29 - 11. Let j(u) be the third derivative of 0 + 0*u - 1/80*u**5 + 1/32*u**4 - 1/24*u**v + 1/480*u**6 - 2*u**2. Solve j(d) = 0 for d.
1
Let m(g) be the third derivative of -g**7/525 + 7*g**6/300 - g**5/10 + 3*g**4/20 - 14*g**2. Solve m(y) = 0.
0, 1, 3
Let z(i) = 6*i**2 + 2*i + 1. Let y be z(-1). Factor y*n + 2 - n + 0*n + 12*n**2 + 2*n**4 + 4*n + 8*n**3.
2*(n + 1)**4
Suppose -4*t = -2*t + 2*t. Suppose 23 = 5*q + d, q = 4*q - 2*d - 6. Factor 0*g + 1/3*g**5 + 0*g**q + 0*g**2 + 0 + t*g**3.
g**5/3
Let t(i) be the second derivative of 289*i**4/30 + 68*i**3/15 + 4*i**2/5 + 20*i. Factor t(h).
2*(17*h + 2)**2/5
Let k be 24/(-9)*9/(-120)*4. Factor -6/5*x**5 - k*x**2 + 0 - 14/5*x**3 + 0*x - 16/5*x**4.
-2*x**2*(x + 1)**2*(3*x + 2)/5
Let u be 6/4*(-9 - -7). Let v = -1 - u. Factor 4*p + 0*p - v*p**2 - 2 + 0*p.
-2*(p - 1)**2
Factor -2*w**5 + 5*w + 23 - 4*w**3 - 25 + 6*w**4 - 4*w**2 + w.
-2*(w - 1)**4*(w + 1)
Let m(q) = q**4 - q**3 - q - 1. Let a(o) = 6*o**4 - 6*o**3 - o**2 - 4*o - 5. Let b(r) = -a(r) + 5*m(r). Solve b(l) = 0.
-1, 0, 1
Suppose -1 - 2 = -t. Let m be 17/10 + 6/(-30). Solve 3/2*l**t - m*l - l**2 + 1 = 0 for l.
-1, 2/3, 1
Let f = -2 + 11. Factor -f - o**2 + 4*o + 3*o - 4*o + 3*o.
-(o - 3)**2
Let n(u) be the first derivative of u**5/120 - u**4/6 + 4*u**3/3 + 3*u**2/2 - 5. Let r(z) be the second derivative of n(z). Factor r(a).
(a - 4)**2/2
Let k(r) be the third derivative of r**5/30 + r**4/4 + 2*r**3/3 - 7*r**2. Factor k(l).
2*(l + 1)*(l + 2)
What is k in -40*k**3 + 5*k**2 + 40*k + 4*k**2 - 31*k**4 - 8 + 9*k**4 + 21*k**2 = 0?
-2, -1, 2/11, 1
Let h(o) = -2*o**2 + 18*o + 4. Let x be h(9). Let k be (x/5)/((-20)/(-50)). Factor -1/2 - 3/4*s + 3/4*s**3 + 1/2*s**k.
(s - 1)*(s + 1)*(3*s + 2)/4
Let f be (-4 + 7)/((-29)/16 - -2). Find g, given that -f*g - 8/3 - 34/3*g**2 + 30*g**3 = 0.
-2/5, -2/9, 1
Let 