- 3*r - 4. Let q(l) be the first derivative of b(l). Let q(i) = 0. What is i?
-2/5, 0, 3
Suppose 16 + 20 = -2*a. Let w be 14/a + (-2)/(-2). Factor 2/9 + w*j**2 + 4/9*j.
2*(j + 1)**2/9
Let y(a) be the third derivative of -2*a**2 + 1/300*a**6 + 0*a - 1/20*a**4 + 2/15*a**3 + 0*a**5 + 0. Factor y(i).
2*(i - 1)**2*(i + 2)/5
Let c be (1*2)/((-5)/10*-2). Let z(m) be the first derivative of 0*m**3 + 1/10*m**5 + 0*m**2 - c + 1/4*m**4 + 0*m. Factor z(i).
i**3*(i + 2)/2
Factor 2/5*y - 14/5*y**3 - 4/5*y**2 + 0 - 8/5*y**4.
-2*y*(y + 1)**2*(4*y - 1)/5
Let j(s) be the second derivative of -3*s**4/4 - s**3 + 4*s**2 + 15*s. Factor j(a).
-(3*a - 2)*(3*a + 4)
Let v(p) be the second derivative of p**6/180 - p**4/12 + p**3 - p. Let m(n) be the second derivative of v(n). Factor m(k).
2*(k - 1)*(k + 1)
Let b(m) be the first derivative of -m**4/3 + m**3/3 + m**2 + 2*m + 2. Let f(v) be the first derivative of b(v). Solve f(l) = 0 for l.
-1/2, 1
Let z be 1/((15/12)/5). Let 5*h**2 - 5*h**2 - h - h**2 + z - 3 + h**3 = 0. What is h?
-1, 1
Let h(z) = 3*z**2 + 4*z + 5. Let i(l) = 4*l**2 + 6*l + 7. Let a(t) = -7*h(t) + 5*i(t). Find d such that a(d) = 0.
0, 2
Let f be 6/(-27)*(-20 - -11). Determine m, given that 0 - 2/3*m**f + 0*m**3 + 2/3*m**4 + 0*m = 0.
-1, 0, 1
Determine d so that 7/5*d + 4/5*d**4 + 13/5*d**3 + 1/5 + 3*d**2 = 0.
-1, -1/4
Let z(w) = -2*w. Let o be z(-1). Determine f, given that 121*f**o - 5*f + 6 + 2*f - 124*f**2 = 0.
-2, 1
What is s in -10*s**3 - 10*s**2 - 5*s**5 + 5*s + 10*s**5 + 10*s**2 = 0?
-1, 0, 1
Determine x so that 3*x**3 + 0*x**3 + x**3 - 4*x - 2*x**4 + 2 = 0.
-1, 1
Let z be 3/9 - (-28)/6. Factor -38*a**2 - 3*a - a - z*a**3 + 50*a**2.
-a*(a - 2)*(5*a - 2)
Suppose 5*p + 9 - 49 = 0. Factor 16*r + 24*r**3 + 19*r**2 - 3*r**3 + p*r**2 - 10*r.
3*r*(r + 1)*(7*r + 2)
Let r be ((-10)/6)/(4/(-66)). Let x = -601/22 + r. Factor -12/11*z**2 - x - 8/11*z - 2/11*z**4 - 8/11*z**3.
-2*(z + 1)**4/11
Let s(c) be the first derivative of c**6/1080 - c**5/360 - 2*c**3 - 2. Let m(v) be the third derivative of s(v). Factor m(y).
y*(y - 1)/3
Let y(k) = 6*k**3 + 11*k**2 + 5. Let w(p) = 15*p**3 + 27*p**2 + 12. Let h(l) = -5*w(l) + 12*y(l). Suppose h(m) = 0. Calculate m.
-1, 0
Let o(s) be the first derivative of -3*s**4/16 - 5*s**3/2 - 51*s**2/8 - 6*s + 18. Factor o(m).
-3*(m + 1)**2*(m + 8)/4
Suppose -2*d + 4*i = -12, 2*d - 3*i = 7 + 3. Factor -3/4*v**d + 0 - 3/4*v.
-3*v*(v + 1)/4
Let q(r) be the first derivative of -r**6/27 - 2*r**5/15 - r**4/6 - 2*r**3/27 - 9. Find z, given that q(z) = 0.
-1, 0
Let l be (-3)/(-2) + (-168)/(-16). Suppose 0 = 2*o - o - 14. Let l*q**3 - 7*q**4 + 3*q**5 + 6*q**2 + 9*q**4 - o*q**4 + 6 - 15*q = 0. What is q?
-1, 1, 2
Suppose 3 - 9 = -3*t. Let d(b) be the second derivative of 0 - b + 1/4*b**t + 0*b**3 - 1/24*b**4. Factor d(i).
-(i - 1)*(i + 1)/2
Let j(f) = 4*f**4 - 2*f**3 - 6*f**2 + 7*f + 7. Let h(l) = l**4 - l**2 + l + 1. Let u(g) = 35*h(g) - 5*j(g). Factor u(y).
5*y**2*(y + 1)*(3*y - 1)
Let y(w) = -w**3 - 4*w**2 - 2*w + 3. Let x be y(-3). Let -7/4*s**4 - 3*s**3 + x + 1/2*s - 3/4*s**2 = 0. Calculate s.
-1, 0, 2/7
Factor 2/5*h**2 + 0 - 2/5*h.
2*h*(h - 1)/5
Let t be 21/(-4) - (-6)/24. Let v be (2/t)/((-14)/10). Factor -v*p**5 - 4/7*p**2 + 0*p - 8/7*p**4 - 10/7*p**3 + 0.
-2*p**2*(p + 1)**2*(p + 2)/7
Let w be (1 + -1 + 0)/3. What is m in 6/7*m**2 + w - 4/7*m - 2/7*m**3 = 0?
0, 1, 2
Let t(a) = -a**4 - a**3 - 11*a**2 - 11*a + 11. Let h(p) = -2*p**2 - 2*p + 2. Let x(m) = 11*h(m) - 2*t(m). Determine u, given that x(u) = 0.
-1, 0
Let q(a) be the second derivative of -a**4/36 - a**3/9 - a**2/6 - 14*a. Factor q(c).
-(c + 1)**2/3
Let t = -3844/51 - 53854/51. Let v = t + 1158. Factor -32/3 - 10/3*l**4 - v*l**2 - 1/3*l**5 - 80/3*l - 40/3*l**3.
-(l + 2)**5/3
Solve 0*k + 52/9*k**4 + 0 + 14/9*k**5 - 16/9*k**3 + 0*k**2 = 0 for k.
-4, 0, 2/7
Let a = 1/15 + 4/15. Let l = -43 + 130/3. Determine s so that l*s**4 - 1/3*s**2 + 0 - a*s**3 + 0*s + 1/3*s**5 = 0.
-1, 0, 1
Let x = 6/37 + 32/259. Find j, given that -x*j**2 - 2/7*j + 2/7 + 2/7*j**3 = 0.
-1, 1
Let n(l) = l**2 + 1. Let y(r) = -17*r**2 + 18*r - 7. Let p(m) = -3*n(m) - y(m). Suppose p(s) = 0. What is s?
2/7, 1
Suppose -3*v - g - 1 = -7, -4 = -2*v + 2*g. Determine q, given that v*q - 1/2*q**2 - 2 = 0.
2
Let j(p) be the third derivative of 0*p**3 + 0*p + 1/210*p**7 + 0*p**4 + 4*p**2 + 0*p**5 + 0 + 1/120*p**6. What is c in j(c) = 0?
-1, 0
Let b(w) be the third derivative of 0*w - 1/270*w**5 + 0 - w**2 + 0*w**3 + 1/108*w**4. Factor b(z).
-2*z*(z - 1)/9
Let v(h) = -2*h**3 - 3*h**2 - h - 2. Let b be v(-2). Suppose -40 + 2 = -3*f + 4*x, -9 = -b*f - 3*x. Suppose -2*g**2 - f*g**2 + 4*g**2 + 3*g**2 = 0. Calculate g.
0
Suppose -3*r - 2*r = -20. Suppose -r*q - 10 + 26 = 0. Solve 0*m**2 - 1/4*m**5 + 0*m + 1/4*m**3 + 0 + 0*m**q = 0.
-1, 0, 1
Let a(d) = 14*d**2 + 14*d - 4. Let p(x) = -x**2 - x. Let l be (-1)/(-6) - 71/(-6). Let h(w) = l*p(w) + a(w). Let h(m) = 0. Calculate m.
-2, 1
Let h(r) be the first derivative of -r**3/12 - r**2/8 - 5. Solve h(z) = 0 for z.
-1, 0
Let j(c) be the third derivative of 1/75*c**5 + 0 + 3*c**2 + 0*c - 1/60*c**4 + 0*c**3 - 1/300*c**6. Let j(h) = 0. What is h?
0, 1
Suppose 2*n + 10 = -3*l, -3*l + 5*l + 5*n + 25 = 0. Suppose l*z = 2*z + 5*b - 5, -4*z + 4*b = 4. Factor -8/7*k**2 + 8/7*k**3 + 2/7*k + z.
2*k*(2*k - 1)**2/7
Let s be -1 - 1*(-2)/(-2). Let n = 1 - s. Factor 0 - 1/3*q - 1/3*q**n - 2/3*q**2.
-q*(q + 1)**2/3
Let k(q) be the first derivative of -q**5/30 + q**4/24 + 2*q**3/9 - q**2/3 - 35. Factor k(w).
-w*(w - 2)*(w - 1)*(w + 2)/6
Let a(k) be the second derivative of 3*k**6/50 - 3*k**5/100 - 3*k**4/20 + k**3/10 - 4*k. Let a(o) = 0. Calculate o.
-1, 0, 1/3, 1
Let m(k) = -k**3 - 26*k**2 + 4. Let p be m(-26). Determine g, given that -63*g**2 - 387/2*g**3 + 1323/4*g**5 + 0 - 6*g - 273/4*g**p = 0.
-2/7, -2/9, 0, 1
Let l(d) be the second derivative of -d**6/6 - 3*d**5/4 - 5*d**4/12 + 5*d**3/2 + 5*d**2 + 46*d. Factor l(t).
-5*(t - 1)*(t + 1)**2*(t + 2)
Solve g**3 - 10*g**5 + 12*g**4 + 3*g**3 - 6*g**4 = 0 for g.
-2/5, 0, 1
Let c(h) be the third derivative of -1/231*h**7 + 0 + 0*h + 1/66*h**6 - 1/33*h**5 - h**2 - 1/33*h**3 + 5/132*h**4 + 1/1848*h**8. Factor c(x).
2*(x - 1)**5/11
Let s = -2/15 + 7/15. Factor 1/6 - 1/6*i**4 + 0*i**2 + 1/3*i - s*i**3.
-(i - 1)*(i + 1)**3/6
Let k(v) = -3*v**3 - 12*v**2 + 11*v + 56. Let b(z) = 9*z**3 + 36*z**2 - 34*z - 169. Let n(d) = 2*b(d) + 7*k(d). Solve n(s) = 0 for s.
-3, 2
Suppose 0*u = -2*u - 6. Let l = 0 - u. Factor t**l + 3/2*t**2 + 1/4*t**4 + 1/4 + t.
(t + 1)**4/4
Let m(s) = -4*s**4 - 8*s**2 + 2*s - 10. Let f(a) = -a**4 - 3*a**2 + a - 3. Let l(t) = 20*f(t) - 6*m(t). Let l(j) = 0. What is j?
-2, 0, 1
Let t(p) be the second derivative of -p**4/4 + 5*p**3/3 - 4*p**2 + 4*p + 2. Factor t(u).
-(u - 2)*(3*u - 4)
Let n(y) be the first derivative of y**3/3 - 6*y**2 + 36*y - 31. Factor n(l).
(l - 6)**2
Factor 3*m**4 + 9*m + 20*m**3 + 3*m**4 - m**4 + m + 25*m**2.
5*m*(m + 1)**2*(m + 2)
Factor 0*d**2 + 0*d**3 + 0 + 1/3*d**4 + 1/3*d**5 + 0*d.
d**4*(d + 1)/3
Let j be (-2)/(-6) - 11/(-3). Factor 0*l - j*l**2 + 3*l**2 + 2 + l.
-(l - 2)*(l + 1)
Factor -2/3*y**3 + 1/3*y**5 + 1/3*y**4 + 1/3 - 2/3*y**2 + 1/3*y.
(y - 1)**2*(y + 1)**3/3
Let o(t) = -t**4 - t**3 + t**2 - t + 1. Let f(a) = 7*a**4 + 15*a**3 + 13*a**2 + 19*a - 1. Let d(x) = -2*f(x) - 10*o(x). Factor d(u).
-4*(u + 1)**3*(u + 2)
Let v(a) = a**3 + 3*a**2 + a + 9. Let j be v(-6). Let u be (-294)/j - 4/2. Factor -2/5*l**4 + 0 - u*l**2 + 0*l + 6/5*l**3.
-2*l**2*(l - 2)*(l - 1)/5
Let z(m) = 7*m**4 + 10*m**3 - 12*m - 7. Let f(k) = 120*k**4 + 170*k**3 - 205*k - 120. Let d(w) = -2*f(w) + 35*z(w). Factor d(x).
5*(x - 1)*(x + 1)**3
Let g(p) be the first derivative of p**4/2 - 10*p**3/3 + 7*p**2 - 6*p + 18. Suppose g(s) = 0. What is s?
1, 3
Let d(c) be the first derivative of -c**3/21 + 3*c**2/14 + 4*c/7 + 25. Find g, given that d(g) = 0.
-1, 4
Suppose 0 - 2/13*f - 2/13*f**2 = 0. What is f?
-1, 0
Suppose 5*k - 25 = 0, -4*r + 3*k = -r + 9. Let -26/9*q**3 + 0 - 22/9*q**r - 4/9*q - 8/9*q**4 = 0. What is q?
-2, -1, -1/4, 0
Let l = 1 + 3. Factor 1 - l*k + 2 - 2*k**2 - 3.
-2*k*(k + 2)
Let u(b) be the third derivative of -b**10/529200 - b**9/211680 - b**5/20 + 2*b**2. Let v(z) be the third derivative of u(z). Factor v(t).
-2*t**3*(t + 1)/