3)*(s + 1)**2
Let t(c) be the first derivative of -c**4 - 4*c**3/3 + 4*c**2 + 16. Suppose t(d) = 0. Calculate d.
-2, 0, 1
Let r(w) be the second derivative of -w**10/19440 - w**9/13608 + w**8/15120 + w**4/12 + 7*w. Let l(y) be the third derivative of r(y). Let l(k) = 0. What is k?
-1, 0, 2/7
Let h(s) be the first derivative of -4*s**3 - 2*s**2 + 8. Suppose h(k) = 0. What is k?
-1/3, 0
Let y(v) = v**2 + v + 2. Let z be y(-2). Suppose -6 = -z*m + 2*m. Suppose 0 + 0*t - 2/3*t**5 + 2/3*t**2 - 2*t**m + 2*t**4 = 0. What is t?
0, 1
Let 4/3*i + 4/3 + 1/3*i**2 = 0. What is i?
-2
Let z(s) be the second derivative of s**5/90 + s**4/27 - 7*s. Factor z(l).
2*l**2*(l + 2)/9
Suppose 0 - 3/2*o**5 + 0*o - 3/2*o**2 + 3/2*o**3 + 3/2*o**4 = 0. Calculate o.
-1, 0, 1
Let o be (-5)/(-3) + (-1)/(-3). Find l, given that -l**o + 2 + 2*l**2 - 2*l**2 + l = 0.
-1, 2
Let v(j) be the first derivative of j**4/26 + 4*j**3/39 - j**2/13 - 4*j/13 - 3. Factor v(w).
2*(w - 1)*(w + 1)*(w + 2)/13
Let k be 24/14*(-7)/(-2). Factor -3*b**3 + 48 - k*b**2 - 48.
-3*b**2*(b + 2)
Let m(d) be the third derivative of -d**5/300 + d**4/120 + 14*d**2. Factor m(q).
-q*(q - 1)/5
Suppose 2*k = -3*z + k + 13, -11 = -4*z + 5*k. Suppose 2*o = z - 0. Factor 28 + 48 + 72*h**o - 24*h**3 + 3*h**4 - 106*h + 10*h - 28.
3*(h - 2)**4
Let y(p) = p + 13. Let m be y(-9). Determine r so that 0 - 2/9*r**5 - 4/9*r**m + 0*r**3 + 4/9*r**2 + 2/9*r = 0.
-1, 0, 1
Let s(z) be the third derivative of z**7/15 + 4*z**6/15 + 2*z**5/15 - 28*z**2. Suppose s(l) = 0. What is l?
-2, -2/7, 0
Let g be (((-112)/35)/(-4))/(2/5). Factor 3/7 + 3/7*p**g - 6/7*p.
3*(p - 1)**2/7
Suppose 2*s - 23 + 11 = 0. Let n(j) be the third derivative of 1/105*j**7 + 0*j + 1/12*j**4 + 0*j**3 + 0 - 1/30*j**5 - 1/60*j**s + 4*j**2. Factor n(b).
2*b*(b - 1)**2*(b + 1)
Factor -4 + 11*y + 6*y - 5*y**2 + y**2 - 9*y.
-4*(y - 1)**2
Determine m, given that 2/3*m**4 - 14/3*m**3 + 12*m**2 + 16/3 - 40/3*m = 0.
1, 2
Let w = -8 + 11. Factor 0*i - 4*i**w + 4*i**3 - 3*i**3 + 3*i.
-3*i*(i - 1)*(i + 1)
Suppose d + 4*d = 0. Let m(a) be the second derivative of 0 - 2/5*a**5 + 1/12*a**4 + d*a**2 + 1/6*a**6 + 2*a + 1/3*a**3. Suppose m(s) = 0. Calculate s.
-2/5, 0, 1
Let o(j) be the first derivative of -j**5/25 - 3*j**4/10 - 13*j**3/15 - 6*j**2/5 - 4*j/5 + 9. Factor o(t).
-(t + 1)**2*(t + 2)**2/5
Let q(j) be the first derivative of -3/2*j**2 + j**3 + 3 - 3/5*j**5 + 3/4*j**4 + 0*j. Factor q(v).
-3*v*(v - 1)**2*(v + 1)
Let d be (-2)/18*(0 - (7 + -4)). Factor 0*i**2 - 1/6*i**4 - d*i**3 + 1/3*i + 1/6.
-(i - 1)*(i + 1)**3/6
Let y = 248 + -248. Factor 0 + 2/7*w**3 + 0*w + y*w**2.
2*w**3/7
Let z(t) be the third derivative of 4*t**2 - 1/180*t**5 - 1/360*t**6 + 0*t**3 + 0*t + 1/36*t**4 + 0. Suppose z(b) = 0. Calculate b.
-2, 0, 1
Let 5*b**2 - 13*b**2 - 3 + 13*b**2 - 2 = 0. Calculate b.
-1, 1
Let u(d) be the third derivative of -d**7/105 + d**6/20 - d**5/30 - d**4/4 + 2*d**3/3 + 6*d**2. Factor u(k).
-2*(k - 2)*(k - 1)**2*(k + 1)
Let u(w) be the third derivative of w**7/140 - w**6/16 + w**5/10 + 20*w**2. What is h in u(h) = 0?
0, 1, 4
Let t(w) be the third derivative of w**8/42 - 2*w**7/21 + w**6/10 + w**5/15 - w**4/6 + 11*w**2 - 2*w. Factor t(f).
4*f*(f - 1)**3*(2*f + 1)
Let j = 2/2585 + 1032/2585. Factor 6/5*x - j*x**2 - 4/5.
-2*(x - 2)*(x - 1)/5
Suppose -l = 5*x + 3*l - 30, -3*x = 5*l - 31. Let s(i) be the first derivative of 0*i + 0*i**2 + 1/12*i**3 + x. Let s(j) = 0. What is j?
0
Solve -r**2 - 6*r**2 + 2*r - 9*r**3 - 4*r - 74*r**5 - 5*r**4 + 73*r**5 = 0.
-2, -1, 0
Suppose 0 = -3*m + 1 + 2. Let w(p) = -5*p**2 + 6*p + 10. Let s(b) = b**2. Let i(d) = m*w(d) - 2*s(d). Let c(q) = -q + 1. Let l(k) = -6*c(k) + i(k). Factor l(r).
-(r - 2)*(7*r + 2)
Let n(c) be the third derivative of c**7/420 - c**6/240 - c**5/40 + c**4/48 + c**3/6 + 2*c**2. Determine s so that n(s) = 0.
-1, 1, 2
Let p = -49/2 - -25. Let t(v) be the first derivative of -1 - 1/2*v**3 + 2/5*v**5 - 5/8*v**4 - p*v + 5/4*v**2. Let t(w) = 0. What is w?
-1, 1/4, 1
Let u(f) be the third derivative of 0*f**3 + 0*f - 4*f**2 + 1/120*f**5 + 0 + 1/48*f**4. Factor u(g).
g*(g + 1)/2
Let x(b) = b**3 + b**2 - b. Let m(i) = 4*i**3 - i**2 - 2*i. Let c(s) = m(s) - 2*x(s). Let p be c(2). Let -5*r**2 + r**2 - 6*r**2 + 6*r + 0 + p = 0. Calculate r.
-2/5, 1
Let k(l) = -3*l**5 - l**3 + 4*l**2 + 5*l + 5. Let a(z) = 5*z**5 + z**3 - 6*z**2 - 8*z - 8. Let t(g) = 5*a(g) + 8*k(g). Factor t(m).
m**2*(m - 1)**2*(m + 2)
Suppose 0 = -2*g - 2*g. Let d be (-6)/(1*9/(-3)). Find o such that g*o - 1/3 + 1/3*o**d = 0.
-1, 1
Let s(u) be the second derivative of u - 2/3*u**3 - 2/5*u**5 + u**2 + 0 - 7/6*u**4. Determine o, given that s(o) = 0.
-1, 1/4
Let b(p) = p + 1. Let u be b(-4). Let w be u/(3/(-1))*0. Determine h so that -1/3*h**3 - 1/3*h**2 + w + 1/3*h**4 + 0*h + 1/3*h**5 = 0.
-1, 0, 1
Let y be (-3)/(180/(-185)) - (-6)/(-2). Let g(s) be the second derivative of 0 + s + 0*s**2 - 1/40*s**5 + y*s**4 - 1/12*s**3. Factor g(p).
-p*(p - 1)**2/2
Suppose -4*r + 9 = b + 5, -5*r = -2*b - 18. Factor 6*w**r - 4/5 - 38/5*w**3 - 2/5*w + 14/5*w**4.
2*(w - 1)**3*(7*w + 2)/5
Let g = 9 + -4. Determine h so that h**g + h**2 + 5*h**4 + 4*h**3 - 5*h**3 - 6*h**4 = 0.
-1, 0, 1
Let c = -369 - -1846/5. Determine b, given that 4/5*b**3 + 0*b + 4/5*b**2 + c*b**4 + 0 = 0.
-2, 0
Suppose o + o = 3*k - 16, 2*k - 9 = o. Determine j, given that 3*j**k - j**2 - 2*j + j - j**3 = 0.
0, 1
Factor -2/9*t**2 - 4/9 + 2/3*t.
-2*(t - 2)*(t - 1)/9
Suppose 0 = 2*q + 13 + 5. Let z = -9 - q. What is f in z - 1/4*f**4 - 1/4*f**3 + 1/4*f + 1/4*f**2 = 0?
-1, 0, 1
Let w = -27 + 18. Let h be ((-24)/90)/(w/30). Solve -2/9 - 4/3*b**2 - 8/9*b - h*b**3 - 2/9*b**4 = 0.
-1
Let n = 3 + 4. Find s, given that -3*s**2 + 3*s + 2 + n + 0 - 9*s = 0.
-3, 1
Let z(a) be the first derivative of -5*a**4/4 + 25*a**3/3 - 10*a**2 + 9. Factor z(j).
-5*j*(j - 4)*(j - 1)
Let p(k) = k - 9. Suppose -i - 34 = -4*z, 6*z - 2*z = -2*i + 40. Let l be p(z). Factor l*r**3 + 0*r**2 + 2/3*r**4 - 2/3*r**5 + 0*r + 0.
-2*r**4*(r - 1)/3
Let q(v) = 7*v - 5. Let z be q(1). Factor -1/4*f**z - 2*f - 4.
-(f + 4)**2/4
Let g be -3*(-4)/(-8)*-2. Let m(c) be the third derivative of 1/30*c**5 + 1/60*c**6 + g*c**2 - 1/12*c**4 - 1/3*c**3 + 0*c + 0. Determine j so that m(j) = 0.
-1, 1
Factor -10 + 10 - 3 + v**2 - 2*v.
(v - 3)*(v + 1)
Let b(s) be the third derivative of -s**8/1344 + s**7/1680 + s**6/288 - s**5/240 + s**3/3 - 3*s**2. Let l(p) be the first derivative of b(p). Factor l(d).
-d*(d - 1)*(d + 1)*(5*d - 2)/4
Let k be 8 - -19 - (-2)/(-1 - -3). Find j such that -125/4*j**5 + 4*j + 60*j**3 - 25*j**4 - k*j**2 + 0 = 0.
-2, 0, 2/5
Let q(x) be the third derivative of 0 + 0*x + 1/2*x**3 + 3*x**2 + 1/20*x**5 - 1/4*x**4. Suppose q(w) = 0. Calculate w.
1
Let t(j) be the first derivative of j**6/6 - j**5 + 3*j**4/2 + 2*j**3/3 - 7*j**2/2 + 3*j - 19. Factor t(s).
(s - 3)*(s - 1)**3*(s + 1)
Let u(x) be the first derivative of -x**4/4 + 2*x**3 - 6*x**2 + 8*x + 24. Factor u(w).
-(w - 2)**3
Let n = 73 - 70. Factor 1/2 + 3/4*c + 0*c**2 - 1/4*c**n.
-(c - 2)*(c + 1)**2/4
Let b(q) be the second derivative of -12*q**6/25 + 3*q**5/25 + 46*q**4/15 + 24*q**3/5 + 16*q**2/5 - 4*q. Let b(x) = 0. What is x?
-2/3, -1/2, 2
Factor -2*l + 19*l**2 - 27*l**2 + 9*l**2.
l*(l - 2)
Let y(g) be the first derivative of -1/70*g**5 + 2 + 1/21*g**4 - 1/21*g**3 + g + 0*g**2. Let q(j) be the first derivative of y(j). Let q(v) = 0. What is v?
0, 1
Suppose y + 8*c = 10*c + 6, -c - 12 = -5*y. Determine d, given that -8/13*d + 2/13*d**y + 8/13 = 0.
2
Let z be ((-1966)/(-14))/(0 + 5). Let k = 149/5 - z. Factor -2/7 + 8/7*i**3 - 18/7*i**2 + k*i.
2*(i - 1)**2*(4*i - 1)/7
Let x be 6/(-12) + (-19)/(-18). Let o = x - 2/9. Factor 1/3*f**2 - 2/3 + o*f.
(f - 1)*(f + 2)/3
Suppose 2*q + 8 - 22 = 2*j, -j - 4 = 0. Let x(d) be the second derivative of 0*d**2 - 2*d + 1/24*d**4 + 0*d**q + 0. Find a such that x(a) = 0.
0
Let g = -229 - -1159/5. Let j(l) be the first derivative of 2 + 18*l**3 + 23/2*l**4 + g*l**5 + 13*l**2 + 4*l. Factor j(u).
2*(u + 1)**3*(7*u + 2)
Let x(g) = -g**4 - g**3 - g**2 + 1. Let h(d) = 9*d**4 - 2*d**3 + 7*d**2 + d - 5. Let w(k) = h(k) + 5*x(k). Factor w(f).
f*(f - 1)**2*(4*f + 1)
Suppose 2*u + 6*q + 5 = q, -2*q = 2. Factor -2/3*h**3 + 0 + u*h - 2/3*h**2.
-2*h**2*(h + 1)/3
Let g(d) be the firs