*v**2 - 4*v - 5. Let l(c) = 3*i(c) - 3*y(c). Factor l(h).
-3*(h - 2)**2*(h + 1)**2
Let m = 4 - -1. Suppose -2*b - 4 = 0, t + m*b + 9 + 0 = 0. What is a in 1/2*a**2 + 3/2*a + t = 0?
-2, -1
Let l(f) = -f**3 + 1. Let u be l(1). Let j(k) be the second derivative of -1/3*k**3 + u*k**2 + 0 - 1/6*k**4 - 3*k. What is c in j(c) = 0?
-1, 0
Let c(k) be the first derivative of -2 - 3/5*k - 1/5*k**3 + 3/5*k**2. Factor c(d).
-3*(d - 1)**2/5
Let m = 871/11 + -79. Factor 32/11*q**5 + 0*q + m*q**2 + 0 - 14/11*q**3 + 16/11*q**4.
2*q**2*(q + 1)*(4*q - 1)**2/11
Let d(q) be the third derivative of q**5/30 + 7*q**4/24 + q**3/2 + 11*q**2. Let d(p) = 0. Calculate p.
-3, -1/2
Suppose -5*q + 25 = 0, 2*q = 5*x - 2*q. Factor 0*g + 0*g**2 + 0*g**3 + 1/4*g**x + 0.
g**4/4
Let z(t) = -11*t**3 + 36*t**2 - 60*t + 46. Let y(v) = -12*v**3 + 37*v**2 - 60*v + 47. Let p(c) = 6*y(c) - 7*z(c). Solve p(d) = 0.
2
Suppose 4*l = 5 + 3. Let j be (l/21)/(3/14). Let -2/9 + j*v**3 + 0*v**2 - 4/9*v + 2/9*v**4 = 0. What is v?
-1, 1
Let m be -1*(128/(-72) - (-4)/(-18)). Let g(s) be the first derivative of -1 - 1/9*s**3 + 0*s + 0*s**m. Factor g(t).
-t**2/3
Factor 8/15*t - 2/5 - 2/15*t**2.
-2*(t - 3)*(t - 1)/15
Let m(x) = x**2 - 7*x + 3. Let y be m(6). Let i(h) = -h**2 - 3*h + 3. Let d be i(y). Factor q**4 + q**2 + 2*q**4 - d*q**3 - q**4.
q**2*(q - 1)*(2*q - 1)
Let v = 11 - 8. Factor -c**2 + 1 + v - 3.
-(c - 1)*(c + 1)
Let f(r) be the third derivative of r**5/210 - r**4/28 + 2*r**3/21 + 3*r**2. Suppose f(z) = 0. What is z?
1, 2
Suppose 6*g - 8 = 2*g. What is t in -3*t + t**2 - 2*t + t + g*t = 0?
0, 2
Let h be (238/35 - 7)/(2/(-5)). Let i(g) be the first derivative of -1/10*g**5 - h*g**3 + 0*g - 3/8*g**4 + 4 - 1/4*g**2. Solve i(b) = 0 for b.
-1, 0
Let i = 15781/16 + -986. Let q = i - -3/16. Factor -3/4*f**4 + 1/4 + q*f**2 - 1/2*f**3 + 3/4*f - 1/4*f**5.
-(f - 1)*(f + 1)**4/4
Let s(j) = 1. Let g(v) = v - 3. Let n(c) = -g(c) - 2*s(c). Let x be n(-4). Factor 2*z**3 + 2*z**2 - x*z + 5*z.
2*z**2*(z + 1)
Let w(g) = -15*g + 12. Let i(r) = -r**2 - 1. Let n(z) = -2*z**2 - 29*z + 20. Let d(k) = 3*i(k) - n(k). Let o(j) = -3*d(j) - 5*w(j). Factor o(b).
3*(b - 3)*(b - 1)
Let i(d) be the third derivative of d**8/3360 - d**6/360 - d**4/6 - 2*d**2. Let u(t) be the second derivative of i(t). Factor u(b).
2*b*(b - 1)*(b + 1)
Let v(y) be the first derivative of 3*y**3/10 - 47*y**2/20 + y - 47. Suppose v(l) = 0. What is l?
2/9, 5
Let m(o) = 4*o**5 - 4*o**4 + 8*o**3 + 8*o**2 - 28*o + 12. Let c(y) = -y**4 + y**2 - y + 1. Let r(n) = -16*c(n) + m(n). Factor r(z).
4*(z - 1)*(z + 1)**4
Let q = 1916 + -15253/8. Suppose 57/4*d**2 - q*d**3 + 3*d**4 - 3/8*d**5 - 21/2*d + 3 = 0. Calculate d.
1, 2
Let i(q) be the third derivative of q**6/40 - q**5/10 - q**4/2 + 4*q**3 + 39*q**2. Factor i(c).
3*(c - 2)**2*(c + 2)
Let k(b) be the first derivative of -2*b**6/3 - 28*b**5/5 - 19*b**4 - 100*b**3/3 - 32*b**2 - 16*b - 3. Factor k(q).
-4*(q + 1)**3*(q + 2)**2
Let p(u) be the first derivative of 5*u**3/3 + 5*u**2 + 5*u - 15. Factor p(k).
5*(k + 1)**2
Factor -5/4*n**2 + 15/2*n - 10.
-5*(n - 4)*(n - 2)/4
Let m(c) be the second derivative of -c**7/14 + c**6/2 - 9*c**5/20 - 5*c**4/4 + 2*c**3 + 41*c. Find b, given that m(b) = 0.
-1, 0, 1, 4
Let c be 12/9 - 2/(-3). Factor 3*w**4 - w**5 + 2*w**2 - 3*w**3 - w**2 + 0*w**c.
-w**2*(w - 1)**3
Let z(y) = y - 4. Let t be z(6). Suppose -n - n = t*f, -f - 5*n - 8 = 0. Determine b, given that 2*b**2 + b**4 - 6*b**3 - b**4 - f*b**4 + b**5 + 5*b**5 = 0.
-1, 0, 1/3, 1
Let w(p) be the first derivative of 3/8*p**6 + 0*p - 15/16*p**4 + 3/20*p**5 - 1/4*p**3 + 3/4*p**2 + 2. Find q such that w(q) = 0.
-1, 0, 2/3, 1
Let g be 3 + 5 - (2 + 1). Find o, given that 4/7*o**2 + 2/7*o**g + 0*o**3 - 2/7*o + 0 - 4/7*o**4 = 0.
-1, 0, 1
Let x(t) be the third derivative of -1/10*t**5 - 1/105*t**7 + 0*t + 1/20*t**6 + 0*t**3 + 1/12*t**4 + 0 + t**2. Factor x(i).
-2*i*(i - 1)**3
Let q = -1 + 2. Let g(k) = -8*k**2 - 3*k + 1. Let x(a) be the first derivative of -a**3/3 - a**2/2 + 1. Let l(s) = q*g(s) - 5*x(s). Factor l(m).
-(m - 1)*(3*m + 1)
Let i be 0 + (-21)/9 + -4 + 7. Factor -i*o + 0 + 2/3*o**3 + 0*o**2.
2*o*(o - 1)*(o + 1)/3
Let h(i) be the second derivative of 5*i**4/18 - 8*i**3/9 - 4*i**2/3 + 30*i. Factor h(k).
2*(k - 2)*(5*k + 2)/3
Suppose 4*u + u = 0. Suppose n + r = u, 2*n - r + 0*r = 3. Let -n + p + 2*p**3 - 3*p + 0 + p**4 = 0. Calculate p.
-1, 1
Let y = 13/69 + -1/46. Let f(o) be the second derivative of 1/12*o**4 - y*o**3 - 1/2*o**2 + 1/20*o**5 + 0 + 2*o. Factor f(l).
(l - 1)*(l + 1)**2
Let s(u) be the third derivative of 0*u**3 + 2*u**2 + 1/30*u**6 + 0 + 0*u**4 + 1/15*u**5 + 0*u. What is q in s(q) = 0?
-1, 0
Let y(s) be the third derivative of -s**8/252 - s**7/63 - s**6/45 - s**5/90 + 4*s**2. Suppose y(v) = 0. Calculate v.
-1, -1/2, 0
Let d = -57/2 - -33. Factor d*j**4 + 10*j**3 + j + 13/2*j**2 + 0.
j*(j + 1)**2*(9*j + 2)/2
Suppose 3*q - 37 = -7. Let t = q + -6. Factor t - 1 - 2 - r**2.
-(r - 1)*(r + 1)
Let h(w) be the first derivative of -2/3*w**3 + 2*w + w**2 - 2 - 1/2*w**4. Factor h(u).
-2*(u - 1)*(u + 1)**2
Suppose -7*h = -3*h. Suppose 5 = -2*f + 3*n, -3*n + h*n + 9 = 0. Let -o - 1/2 + 0*o**f + 1/2*o**4 + o**3 = 0. Calculate o.
-1, 1
Suppose -5/3*k**2 - 80/3 + 40*k - 10*k**3 - 5/3*k**4 = 0. What is k?
-4, 1
Let w(m) be the third derivative of m**7/14 - 3*m**6/40 - 3*m**5/5 - m**4/2 + 31*m**2 - 2. Factor w(y).
3*y*(y - 2)*(y + 1)*(5*y + 2)
Let q(z) = 2*z**3 - 18*z + 8. Let g(h) = -2*h**3 - h**2 + 17*h - 8. Let p(x) = 4*g(x) + 3*q(x). Factor p(w).
-2*(w - 1)**2*(w + 4)
Let x(o) be the third derivative of o**7/8820 - o**6/2520 - o**4/24 - 3*o**2. Let v(m) be the second derivative of x(m). Determine a so that v(a) = 0.
0, 1
Let -9/5*x**4 + 0*x + 9/5*x**3 + 3/5*x**5 - 3/5*x**2 + 0 = 0. Calculate x.
0, 1
Let q(w) be the second derivative of -2/9*w**3 + 1/6*w**4 + 0*w**2 - 2*w + 0 + 1/15*w**5. Factor q(h).
2*h*(h + 2)*(2*h - 1)/3
Let d(u) be the second derivative of 2*u**4/3 + 8*u**3/3 - 9*u**2/2 - 3*u. Let z(f) = -2*f**2 - 4*f + 2. Let r(m) = 2*d(m) + 9*z(m). Solve r(q) = 0.
-2, 0
Let p(l) be the second derivative of 2*l**6/15 + 7*l**5/5 + 2*l**4 - 12*l. Factor p(q).
4*q**2*(q + 1)*(q + 6)
Let r(g) = 3*g - 12. Let i be r(5). Let a(n) be the third derivative of -1/36*n**4 + 0 - 2/27*n**i - 1/270*n**5 - 2*n**2 + 0*n. Factor a(s).
-2*(s + 1)*(s + 2)/9
Let b = 583 + -578. Solve -1/4*l**b - 1/2*l**2 - 3/4*l + l**3 + 1/2 + 0*l**4 = 0.
-2, -1, 1
Let h(k) be the first derivative of -3 + 0*k**3 + 1/15*k**5 + 0*k + 1/12*k**4 + 0*k**2. Factor h(b).
b**3*(b + 1)/3
Let l = 504 + -502. Factor 0*i**l + 0*i**3 + 3/2*i**4 + 3/4*i**5 + 0 + 0*i.
3*i**4*(i + 2)/4
Let g be (2/(-10))/((-2)/5). Let l = 5 - 3. Factor 4*y**3 + 16*y + 12*y**l + g*y**4 + 8.
(y + 2)**4/2
Suppose -2*q = -3*r - 1 + 6, 3*r = 3*q + 3. Let c(w) be the second derivative of -w - 2/3*w**3 - q*w**2 + 0 - 1/12*w**4. Factor c(k).
-(k + 2)**2
Determine x, given that 16*x - 12*x**4 + 8*x + 24*x + 16 + 51*x**2 - 8*x**3 - 15*x**2 = 0.
-1, -2/3, 2
What is q in 4/11*q + 0 - 2/11*q**4 - 4/11*q**3 + 2/11*q**2 = 0?
-2, -1, 0, 1
Suppose 6*z - 2*z + 2*z = 0. Let t(w) be the second derivative of 0*w**2 + 4*w - 1/12*w**4 + 0 + 1/30*w**6 + 0*w**5 + z*w**3. Factor t(f).
f**2*(f - 1)*(f + 1)
Let o(w) be the first derivative of -6/5*w**5 + 0*w**3 + 15/2*w**4 + 6*w - 3/2*w**6 - 4 - 21/2*w**2. Let o(n) = 0. What is n?
-2, -1, 1/3, 1
Let a(g) be the third derivative of -g**11/332640 - g**10/75600 - 7*g**5/60 - 6*g**2. Let l(o) be the third derivative of a(o). Factor l(p).
-p**4*(p + 2)
Factor -1 - 1/2*h**5 - 3/2*h + 2*h**3 + 0*h**4 + h**2.
-(h - 2)*(h - 1)*(h + 1)**3/2
Let r(o) be the first derivative of 5*o**5 - 5*o**4/4 - 25*o**3 - 35*o**2/2 + 10*o + 21. What is g in r(g) = 0?
-1, 1/5, 2
Let r be 10/(-45) - (-185)/225. Find k, given that -9/5*k**2 + 6/5 + r*k = 0.
-2/3, 1
Let u be 12/12*(-10)/(-2). Let o(k) be the third derivative of -1/15*k**3 - 1/525*k**7 + 0*k**6 - 3*k**2 + 0 + 1/75*k**u + 0*k + 0*k**4. Factor o(i).
-2*(i - 1)**2*(i + 1)**2/5
Find b such that -43*b - 396 + 1263 + 32*b + 113*b + 3*b**2 = 0.
-17
Let t = -1/412 + 1651/1236. Let -t + 2*b - 2/3*b**3 + 0*b**2 = 0. What is b?
-2, 1
Let n be -2*(-2)/(-14) - 112/(-49). Suppose 12/5*z + 8/5 + 6/5*z**n + 1/5*z**3 = 0. Calculate z.
