 d = -4 + 4. Let d + 0*v + 2/3*v**3 + 2/3*v**h + 0*v**2 = 0. Calculate v.
-1, 0
Factor -6 + 3/2*m**2 - 1/2*m**3 + 2*m.
-(m - 3)*(m - 2)*(m + 2)/2
Let s = 20 + -17. Let c(l) be the first derivative of -1 - 4*l - 1/3*l**s + 2*l**2. Factor c(v).
-(v - 2)**2
Let a(w) = -3*w**4 - 6*w**3 - 9*w**2 - 3*w. Let q(h) = -3*h**4 - 5*h**3 - 9*h**2 - 3*h. Let y(r) = 4*a(r) - 3*q(r). What is m in y(m) = 0?
-1, 0
Let r be 51/((-4)/(240/81)). Let j = r - -38. Factor -4/9*f + 0 + j*f**2.
2*f*(f - 2)/9
Let c(p) be the first derivative of 5 - 3/4*p**4 + p**3 - 3*p + 3/2*p**2. Find a, given that c(a) = 0.
-1, 1
Let t(a) be the first derivative of -3 + 0*a + 7/10*a**4 - 4/15*a**3 + 0*a**2 - 2/5*a**5. Let t(d) = 0. What is d?
0, 2/5, 1
Let w(a) be the second derivative of -a**6/120 - a**5/40 + a**3/3 + a. Let y(z) be the second derivative of w(z). Factor y(r).
-3*r*(r + 1)
Let w(i) = -i - 2. Let s be w(-4). Let g be s/(-4) - 2/(-4). Factor g + 1/3*a**2 + 0*a.
a**2/3
Suppose 0*z = 4*z - 24. Determine b, given that -2*b - 2*b**5 + 5*b**5 + z*b**4 - 6*b**2 + 2*b - 3*b = 0.
-1, 0, 1
Let w(f) = -2*f**3 - f**2 - 2*f - 1. Let p be w(-1). Factor 2*g**3 - 2*g**5 - 5*g**2 + 7*g**2 - 2*g**p.
-2*g**3*(g - 1)*(g + 1)
Let z(k) be the second derivative of k**4/28 + 2*k**3/7 - 18*k**2/7 + 69*k. Find i such that z(i) = 0.
-6, 2
Let k(i) be the second derivative of i**7/273 + i**6/195 - i**5/65 - i**4/39 + i**3/39 + i**2/13 + 2*i. Determine x, given that k(x) = 0.
-1, 1
Let j = -573 - -2301/4. Factor 1/4*a**2 + j + 3/2*a.
(a + 3)**2/4
Let l(b) = 2*b**3 + 19*b**2 - 34*b - 9. Let v be l(-11). Solve 3/7*k**v + 0 + 0*k = 0.
0
Let x = 87 - 79. Let b(k) be the third derivative of 0 + 0*k**5 + 1/72*k**4 - 1/180*k**6 - 2*k**2 + 0*k**7 + 1/1008*k**x + 0*k**3 + 0*k. Factor b(w).
w*(w - 1)**2*(w + 1)**2/3
Find f such that 0 - 2 + 3*f**4 - 3*f**2 + 2 = 0.
-1, 0, 1
Suppose 1 + 5 = 3*p. Suppose -3*q + 8 = -c - 1, -4*q + p*c + 10 = 0. Suppose -4*z**3 + 3*z**5 + z**5 - 5*z**5 - q*z**4 = 0. What is z?
-2, 0
Let y(r) be the first derivative of -r**3/12 - 5*r**2/8 + 3*r/2 + 34. Factor y(c).
-(c - 1)*(c + 6)/4
Let h(u) be the first derivative of 3*u**6 - 57*u**5/5 + 3*u**4/4 + 6*u**3 + 39. Determine p, given that h(p) = 0.
-1/2, 0, 2/3, 3
Solve 32*o**2 + 13*o**3 - 4*o**5 - 21*o**3 - 35*o**4 + 15*o**4 = 0 for o.
-4, -2, 0, 1
Let p(u) be the first derivative of -15*u**4/28 - u**3 - 3*u**2/7 + 3. Factor p(v).
-3*v*(v + 1)*(5*v + 2)/7
Let q(k) be the third derivative of 0*k**3 + 2*k**2 + 0 - 1/50*k**5 + 0*k + 0*k**4 + 1/200*k**6. What is z in q(z) = 0?
0, 2
Let j(s) be the third derivative of -s**7/1260 + s**5/180 + 2*s**3/3 - 5*s**2. Let y(h) be the first derivative of j(h). Let y(t) = 0. Calculate t.
-1, 0, 1
Suppose -1/4*h**5 + 25/4*h**2 + 7/4*h**4 + 1 - 4*h - 19/4*h**3 = 0. Calculate h.
1, 2
Let o(r) = -2*r**3 + 2*r**2. Suppose -s - 4*s = -15. Let t = s + 2. Let x(z) = 4*z**3 - 4*z**2. Let y(v) = t*o(v) + 2*x(v). Factor y(d).
-2*d**2*(d - 1)
Let p(l) be the second derivative of l**5/5 - 2*l**4/3 - 12*l. Factor p(w).
4*w**2*(w - 2)
Let m(h) be the third derivative of 0*h**3 + 0 - 1/1680*h**8 + 0*h + 1/120*h**4 + 1/525*h**7 + 5*h**2 - 1/150*h**5 + 0*h**6. Determine c so that m(c) = 0.
-1, 0, 1
Let 96 - 116*s**2 + 36*s**4 + 39*s**3 - 12*s**4 + 50*s**2 - 96*s + 3*s**5 = 0. What is s?
-4, -2, 1
Let p(i) be the first derivative of 0*i**2 + 1/15*i**6 - 1/10*i**4 - 2/25*i**5 + 2/15*i**3 + 0*i + 1. Determine w, given that p(w) = 0.
-1, 0, 1
Factor -4/9*b - 2/3*b**2 + 2/9.
-2*(b + 1)*(3*b - 1)/9
Let u(j) be the third derivative of -j**6/60 + j**5/6 + j**4/12 - 5*j**3/3 + 28*j**2. Factor u(w).
-2*(w - 5)*(w - 1)*(w + 1)
Let c(q) = -2*q**3 - 8*q**2 - 5*q. Let y(d) = -6*d**3 - 24*d**2 - 14*d. Let s(r) = 10*c(r) - 3*y(r). Determine w, given that s(w) = 0.
-2, 0
Factor 2/7*s**4 + 4/7*s**3 - 4/7*s + 0*s**2 - 2/7.
2*(s - 1)*(s + 1)**3/7
Let x(z) be the first derivative of -z**9/7560 - z**8/4200 + z**3/3 + 3. Let d(l) be the third derivative of x(l). What is i in d(i) = 0?
-1, 0
Let q = -1924/1635 + 12/109. Let d = -2/5 - q. Find p such that -d - 1/3*p**2 - p = 0.
-2, -1
Let m(r) = -r**2 - 8*r - 9. Let n(a) = 2*a - 2. Let s be n(-2). Let y be m(s). Solve -2*j + 8*j**3 + 1 - 1 - 6*j**y = 0 for j.
-1, 0, 1
Suppose 3*g + 0*s - 4*s = 62, -2*g - 5*s = -49. Let m = g - 22. Let 0*x**2 + m*x - 3/7*x**3 + 0 = 0. Calculate x.
0
Factor -16*x - 8 - 10*x**2 - 1 + 1 - 2*x**3.
-2*(x + 1)*(x + 2)**2
Let u(q) be the first derivative of q**7/840 + q**6/160 + q**5/80 + q**4/96 + q**2 - 2. Let i(g) be the second derivative of u(g). Factor i(s).
s*(s + 1)**3/4
Suppose -48*n**3 + 144/5*n**2 - 234/5*n**4 + 96/5 - 54/5*n**5 + 288/5*n = 0. Calculate n.
-2, -2/3, 1
Suppose 0 = 5*p - 28 + 8. Let a(k) = 4*k + p*k**2 - k**2 - 2 + 0*k**2. Let u(d) = -d + 1. Let h(w) = -a(w) - 2*u(w). Suppose h(v) = 0. Calculate v.
-2/3, 0
Suppose 2*v - v = 0. Let y(i) = i**3 + 5*i**2 - 6*i + 1. Let q be y(-6). Find p, given that v*p**2 + 3*p**2 - q - 2*p**2 = 0.
-1, 1
Suppose 2/9*o**2 + 0*o - 8/9 = 0. What is o?
-2, 2
Let p(m) be the first derivative of -4*m**3/21 + 2*m**2/7 + 8*m/7 + 4. Find g such that p(g) = 0.
-1, 2
Let u(j) = j**3 + 9*j**2 + 7*j - 5. Suppose w = 0, -5 = k - 5*w + 3. Let s be u(k). Suppose a**3 - 2*a - 3*a**s + 6*a**4 + 4*a**3 - 6*a**2 = 0. Calculate a.
-1, -1/3, 0, 1
Let i(o) = -3*o**5 - 5*o**4 + 2*o**2 + 3*o + 3. Let c(r) = 13*r**5 + 21*r**4 - r**3 - 8*r**2 - 12*r - 13. Let t(x) = -4*c(x) - 18*i(x). Solve t(d) = 0 for d.
-1, 1
Let r be 4/6 - 7/(-3). Suppose 0*c + r*c = 12. Find j, given that 2*j**4 - 7*j**2 - 12*j**3 - 3 + c*j**4 + j**2 + 12*j + 3*j**4 = 0.
-1, 1/3, 1
Factor -6*s**4 - 10*s**3 + 2 + 2*s**3 + 4*s - 6*s**2 + 14*s**4.
2*(s - 1)**2*(2*s + 1)**2
Suppose 0*y - 5*r - 65 = -3*y, 4*y - r = 81. Suppose -15*z + y*z = 0. Factor 2/11*h + 6/11*h**4 + z - 10/11*h**3 + 2/11*h**2.
2*h*(h - 1)**2*(3*h + 1)/11
Let a(k) = k**2 - 6*k - 4. Let t be (0 - 0) + 0 + 18. Let h be (-2 - -4)*(-2)/(-1). Let l(j) = -5*j**2 + 25*j + 16. Let x(f) = h*l(f) + t*a(f). Factor x(d).
-2*(d + 2)**2
Let z(m) be the third derivative of -m**8/60480 + m**7/15120 + m**5/15 + 5*m**2. Let u(b) be the third derivative of z(b). Let u(d) = 0. What is d?
0, 1
Let g(p) = -4*p**3 - 4*p**2 - 4*p - 3. Let m(f) = f**3 + 1. Let o(z) = g(z) + 3*m(z). Solve o(x) = 0.
-2, 0
Let d(u) = 3*u**4 - 3*u**3 - 9*u**2 + 3*u + 3. Let s(g) = 6*g**4 - 6*g**3 - 17*g**2 + 5*g + 5. Let f(c) = -5*d(c) + 3*s(c). Factor f(j).
3*j**2*(j - 2)*(j + 1)
Let k(x) be the second derivative of x**6/180 + x**5/60 - x**4/6 + x**3/2 + 2*x. Let p(w) be the second derivative of k(w). Factor p(s).
2*(s - 1)*(s + 2)
Suppose 2*w - 3*w + 4 = 0. Let m(b) be the third derivative of 1/60*b**5 + 0*b + 0 - 1/6*b**3 + b**2 + 0*b**w. Factor m(i).
(i - 1)*(i + 1)
Let p(t) = -3*t**2 + 8*t - 2. Let y(c) be the third derivative of 1/6*c**5 + 0 + c**3 + 4*c**2 + 0*c - c**4. Let w(z) = 8*p(z) + 3*y(z). Factor w(u).
2*(u - 1)*(3*u - 1)
Let q(u) = -8*u**2 + 2*u - 5. Let o(j) = 33*j**2 - 9*j + 21. Let s(k) = -5*o(k) - 21*q(k). Factor s(c).
3*c*(c + 1)
Factor 4*q**4 - 3*q - 9*q**3 - 835*q**2 - q**4 + 844*q**2.
3*q*(q - 1)**3
Let z(y) be the second derivative of -y**7/42 + y**5/5 + y**4/6 - y**3/2 - y**2 - 2*y + 16. Factor z(j).
-(j - 2)*(j - 1)*(j + 1)**3
Let i = 7 - 10. Let g = -4 + 0. Let q(x) = -2*x**2 + 11*x - 5. Let m(r) = 2*r**2 - 12*r + 4. Let a(l) = g*q(l) + i*m(l). Let a(n) = 0. What is n?
2
Let y = -163 + 491/3. Let c(v) be the first derivative of -5/6*v**4 - y*v**2 + 0*v - 1 + 14/9*v**3. Determine i so that c(i) = 0.
0, 2/5, 1
Factor -51*b**2 - 12*b**4 + 25*b**2 + 22*b**2 - 16*b**3.
-4*b**2*(b + 1)*(3*b + 1)
Let s(o) = o**5 - 2*o**4 + 2*o**3 + 4*o**2 + o + 2. Let q(k) = 6*k**5 - 10*k**4 + 11*k**3 + 21*k**2 + 5*k + 11. Let d(b) = -6*q(b) + 33*s(b). Factor d(z).
-3*z*(z - 1)*(z + 1)**3
Suppose 3*g - 7*g + r = -7, 10 = -5*g - 5*r. Let v be g - (3/6)/1. Factor -w + 1/2*w**2 + v.
(w - 1)**2/2
Let y(l) be the second derivative of 21*l**5/40 + 5*l**4/8 - l**3/2 - 4*l. Factor y(s).
3*s*(s + 1)*(7*s - 2)/2
Suppose 0*g**4 + 2*g**5 + 9*g**3 - 2*g**2 + 0*g**2 - 12*g**4 + 3*g**5 = 0. Calculate g.
0, 2/5, 1
Suppose 3*z - 6 - 6 = 0. Factor -3*o**5 + 4*o**z + 0*o**5 - 2*o**3 + o**5.
-2*o**3*(o - 1)**2
Let v be (-1)/(-1) - (7 - 9). Let g(l) 