*l**3 + 3 + 1/12*l**4 + 1/6*l**2. Solve b(z) = 0 for z.
-1, 0
Let u(l) be the first derivative of l**4/24 - l**3/18 - l**2/12 + l/6 + 6. What is a in u(a) = 0?
-1, 1
What is z in 3/10*z**4 + 0*z - 11/10*z**3 + 0 + 3/5*z**2 = 0?
0, 2/3, 3
Let l(y) = 8*y**2 + 2*y + 6. Let h = -13 + 7. Let k(q) = 7*q**2 + 2*q + 5. Let o(n) = h*k(n) + 5*l(n). Suppose o(b) = 0. What is b?
-1, 0
Let b(l) be the second derivative of l**4/48 - 7*l**3/24 + l. Factor b(g).
g*(g - 7)/4
Let b(c) be the third derivative of c**6/24 - 7*c**5/12 + 55*c**4/24 - 25*c**3/6 + 2*c**2. What is u in b(u) = 0?
1, 5
Let l(s) be the first derivative of s**5/5 + s**4 + 4*s**3/3 - 24. Factor l(o).
o**2*(o + 2)**2
Let a(x) be the first derivative of -2*x**3/3 + x**2 + 2. Factor a(f).
-2*f*(f - 1)
Let k(s) = 2*s**2 - 3*s. Let d be k(2). Solve 0*w**2 - 2*w**3 - d*w**2 + 6*w**2 = 0 for w.
0, 2
Suppose 19 = -3*n + 25. Factor -1/3 + 2/3*d - 1/3*d**n.
-(d - 1)**2/3
Let u(a) be the first derivative of -2*a - 4/3*a**3 - 5/2*a**2 - 1/4*a**4 - 3. Factor u(p).
-(p + 1)**2*(p + 2)
Let t = 22 + -10. Let q be t/10*10/14. Factor 8/7*n + 2/7*n**4 - 4/7*n**3 - q*n**2 + 8/7.
2*(n - 2)**2*(n + 1)**2/7
Let r = 13 - 7. Suppose -4*q + 3*g - 6 = -r*q, g - 6 = -2*q. Find o, given that 2*o**4 - o**4 + 1 + 0*o**4 + o**5 + q*o**2 - 2*o**3 + o - 5*o**2 = 0.
-1, 1
Factor 3/4*f**2 + 0 - 1/2*f + 0*f**3 - 1/4*f**4.
-f*(f - 1)**2*(f + 2)/4
Suppose 0 = 4*x - 2*v - 14, -3*x - 2*v + 15 = v. Factor p**2 - p**5 - x*p**2 + 3*p**3 + 2*p**2 - 3*p**4 + 2*p**5.
p**2*(p - 1)**3
Let y(j) = 2*j - 1. Let a be y(3). Suppose p - a = -0*p. Factor -2*w**2 - 7*w**5 + 6*w**4 - 2*w**2 - 4*w - 2*w**p + 11*w**3.
-w*(w - 1)**2*(3*w + 2)**2
What is c in -4/3*c**4 + 8/9*c**3 - 4/9*c**5 + 8/3*c**2 - 4/9*c - 4/3 = 0?
-3, -1, 1
Suppose -114*z**2 + 132*z**2 - z + 5*z = 0. Calculate z.
-2/9, 0
Suppose -3*u = 2*u - 10. Let b(f) be the second derivative of 0*f**4 - u*f + 0 - 1/24*f**3 + 0*f**2 + 1/80*f**5. Find w, given that b(w) = 0.
-1, 0, 1
Let l be (0 - 1)/((-1)/11). Let h = -21/2 + l. Suppose -v**2 - 1/2*v + 0 - h*v**3 = 0. What is v?
-1, 0
Let c(u) = -2*u**2 + 3*u + 2. Let x be c(2). Factor 0 + x*f + 2/5*f**4 - 4/5*f**3 + 2/5*f**2.
2*f**2*(f - 1)**2/5
Let t(b) be the first derivative of -2/9*b**3 + 2 + 0*b - 1/18*b**6 + 1/4*b**4 + 0*b**5 + 0*b**2. Solve t(q) = 0.
-2, 0, 1
Let d = -6 - -9. Solve -l**3 - 2*l**5 + 3*l**5 + 2*l**4 + 2*l - d*l**4 - 2*l**3 + l**2 = 0 for l.
-1, 0, 1, 2
Let i(g) be the first derivative of g**7/42 - g**5/10 + g**3/6 + 2*g + 2. Let a(j) be the first derivative of i(j). Factor a(c).
c*(c - 1)**2*(c + 1)**2
Let f(s) be the first derivative of -s**7/70 - s**6/40 + s**5/10 - s**2/2 - 7. Let g(i) be the second derivative of f(i). What is j in g(j) = 0?
-2, 0, 1
Suppose -4*t - 5*u + 1 = 0, -2*t + 22*u - 18*u + 20 = 0. Suppose -9*s**2 + 6*s**3 - 3/2*s**t + 6*s - 3/2 = 0. What is s?
1
Let g be (4/5)/(2/5). Determine m so that 3*m**2 - 2*m**2 - 2*m**g = 0.
0
Let u(g) be the first derivative of -9*g**5/5 - g**4/2 + 3*g**3 + g**2 + 4. Factor u(s).
-s*(s - 1)*(s + 1)*(9*s + 2)
Let p be (60/20)/(1 - 0). Let g(q) be the third derivative of 0*q + 0*q**p + 0 + 1/24*q**4 + 1/60*q**5 - q**2. Factor g(d).
d*(d + 1)
Let l = -3 - -3. Suppose l = -2*w + 7*w - 15. Factor p**4 + 4*p**3 - 3 - 3*p**3 + w.
p**3*(p + 1)
Let s(m) be the second derivative of m**4/6 - 2*m**3/3 + m**2 - 5*m. Suppose s(r) = 0. Calculate r.
1
Let n(d) be the first derivative of -d - 2/3*d**2 + 1/4*d**5 + 2 + 11/36*d**4 - 4/9*d**3. Let z(h) be the first derivative of n(h). Suppose z(p) = 0. What is p?
-1, -2/5, 2/3
Let h = -199/10 + 20. Let t(s) be the second derivative of 1/12*s**4 - 4*s + 0 - 1/42*s**7 + 0*s**2 - 3/20*s**5 + h*s**6 + 0*s**3. Determine f so that t(f) = 0.
0, 1
Let v(i) be the first derivative of i**5/360 + i**4/36 + i**3/9 + 3*i**2/2 - 1. Let o(n) be the second derivative of v(n). Solve o(r) = 0.
-2
Let g(i) be the first derivative of 0*i - 2/9*i**3 + 3 + 1/3*i**2. Factor g(s).
-2*s*(s - 1)/3
Let d(r) be the first derivative of -r**3 - 3*r**2/2 - 16. Factor d(t).
-3*t*(t + 1)
Let w be 0*(-2)/(-4)*2. Let n be -8*6/(-72)*3. Factor 4/5*q**n + 8/5*q**4 + 14/5*q**3 + w - 2/5*q.
2*q*(q + 1)**2*(4*q - 1)/5
Let y(t) = -t**4 - t**2 - 1. Let o(g) = 2*g**5 + 14*g**4 + 2*g**3 - 6*g**2 + 6. Let h(c) = o(c) + 6*y(c). Factor h(n).
2*n**2*(n - 1)*(n + 2)*(n + 3)
Suppose 339 + 49 = 2*s. Let k = 1748/9 - s. Solve k*f**2 + 2/9 + 4/9*f = 0.
-1
Let f(v) = -v + 11. Suppose -4*i + 11 = 3*c + 3, 4*c - 2*i = 40. Let x be f(c). Factor 2*q**2 - 1 + x*q**5 + 0*q**2 - q**4 + q - 2*q**3 - 2*q**5.
(q - 1)**3*(q + 1)**2
Let m(j) be the second derivative of -j**6/30 + j**5/20 + j**4/4 - j**3/6 - j**2 - 26*j. What is o in m(o) = 0?
-1, 1, 2
Let z(x) be the first derivative of -121*x**5 + 55*x**4 - 20*x**3/3 + 15. Factor z(k).
-5*k**2*(11*k - 2)**2
Let b(l) be the second derivative of -5*l**6/16 + l**5/16 + 7*l**4/24 - l**3/6 + l + 1. Factor b(n).
-n*(3*n + 2)*(5*n - 2)**2/8
Let s(g) be the second derivative of 1/15*g**3 + 0*g**2 - 4*g + 1/30*g**4 - 1/50*g**5 + 0 - 1/75*g**6. Factor s(d).
-2*d*(d - 1)*(d + 1)**2/5
Suppose 4 - 3 = y. Factor -5*z**2 - y + 6*z**3 + 2*z**2 + 1.
3*z**2*(2*z - 1)
Let r(m) be the third derivative of m**6/240 + m**5/40 + m**4/24 - 23*m**2. Factor r(a).
a*(a + 1)*(a + 2)/2
Suppose 28*p = -16*p. Let v be -1 - (1 + -1) - -1. Factor 0 + p*i**2 + v*i - 1/3*i**3.
-i**3/3
Factor 0 - 3/2*i**2 - 3*i**3 + 3*i + 3/2*i**4.
3*i*(i - 2)*(i - 1)*(i + 1)/2
Let -3/5*y**2 + 3/5*y + 0 + 3/5*y**4 - 3/5*y**3 = 0. Calculate y.
-1, 0, 1
Let z(g) be the second derivative of -3*g + 0*g**2 - 1/18*g**4 + 7/180*g**6 - 1/10*g**5 + 0*g**3 + 0. Factor z(b).
b**2*(b - 2)*(7*b + 2)/6
Let l(c) = -c**2 - 11*c - 10. Let f be l(-10). Factor -14/5*w**3 + f*w + 4/5*w**2 + 0 - 18/5*w**4.
-2*w**2*(w + 1)*(9*w - 2)/5
Let w(h) = -h**3 + 13*h**2 + 9*h - 5. Let y(j) = -2*j**3 + 14*j**2 + 10*j - 6. Let n(c) = 6*w(c) - 5*y(c). Factor n(x).
4*x*(x + 1)**2
Factor 2*v**3 + 4*v - 4*v - 4*v - 4*v**5 + 6*v**3.
-4*v*(v - 1)**2*(v + 1)**2
Let t(z) = -z**2 + 5*z + 2. Let k be t(5). Suppose 14 = 3*j + k*g, 2*j - 10 = -2*g - 0*g. Factor 0 + 0*s**2 + 0*s**j + 1/4*s - 1/2*s**3 + 1/4*s**5.
s*(s - 1)**2*(s + 1)**2/4
Let o(n) be the first derivative of 4*n**6/27 - 3*n**5/5 + 11*n**4/12 - 17*n**3/27 + n**2/6 - 10. Determine l, given that o(l) = 0.
0, 3/8, 1
Let j(r) = 5*r**5 - r**3 + 5*r. Let v(m) = -16*m**5 + 2*m**3 - 16*m. Let f(u) = -20*j(u) - 6*v(u). Factor f(l).
-4*l*(l - 1)**2*(l + 1)**2
Let h be (-80)/(-72)*(-3)/(-5). Factor -2/3*k**3 + h + 2/3*k - 2/3*k**2.
-2*(k - 1)*(k + 1)**2/3
Let a(o) be the second derivative of 0 - 1/30*o**5 + 1/9*o**4 - 1/9*o**3 - 8*o + 0*o**2. Suppose a(t) = 0. What is t?
0, 1
Let c(f) be the second derivative of -7/24*f**4 - 1/2*f**2 + 0 + 3/4*f**3 - 5*f. Factor c(k).
-(k - 1)*(7*k - 2)/2
Let w be (-2)/4 - 18/(-4). What is y in 9*y**4 - 2*y**2 - 4*y**3 - 11*y**w + 0*y**4 = 0?
-1, 0
Let d be (-10)/(-30)*36/2. Suppose 0 = -d*m + m. Factor 1/4*v**2 + m - 1/2*v.
v*(v - 2)/4
Let l(z) be the third derivative of 4*z**7/105 - z**6/30 - 2*z**5/5 - z**4/6 + 4*z**3/3 + z**2. Factor l(y).
4*(y - 2)*(y + 1)**2*(2*y - 1)
Let p be 4/(-54)*-30 - (-52)/(-26). Find s, given that 2/9*s**3 - 2/9*s**4 + 0 + 2/9*s**2 - p*s = 0.
-1, 0, 1
Let d = 1 - -4. Suppose 2*f - 3*n = -6, 0*n + 4*n - 31 = -d*f. Factor 1 - 3*c + f + c**2 + c - 3.
(c - 1)**2
Let j(c) be the third derivative of c**8/1680 + c**7/1050 + 4*c**2. Factor j(p).
p**4*(p + 1)/5
Let t(j) be the second derivative of j**4/14 + 5*j**3/21 + 2*j**2/7 - j. Determine x so that t(x) = 0.
-1, -2/3
Let q(z) be the second derivative of -11*z**7/21 + 13*z**6/15 + 9*z**5/10 - 13*z**4/6 + 2*z**3/3 - 4*z. Find f such that q(f) = 0.
-1, 0, 2/11, 1
Let i(b) be the first derivative of b**6/8 - 3*b**5/20 - 3*b**4/8 + b**3/2 + 3*b**2/8 - 3*b/4 - 7. Factor i(w).
3*(w - 1)**3*(w + 1)**2/4
Let z(y) be the second derivative of 2*y**6/105 - y**5/7 + 3*y**4/7 - 2*y**3/3 + 4*y**2/7 + 6*y. Factor z(d).
4*(d - 2)*(d - 1)**3/7
Let y(o) be the second derivative of 5*o**7/168 - o**6/24 - 3*o**5/16 + 5*o**4/48 + 5*o**3/12 + 9*o. Suppose y(m) = 0. Calculate m.
-1, 0, 1, 2
Let q(j) = -j**3 - 5*j**2 - 4*j - 5. Let g be q(-4). Let s = 8 + g. Factor 8*z + 1 + 1 + 10*z**2 + 0 + 4*z**s.
2*(z