or j(m).
2*(m - 6)*(m + 1)*(m + 2)
Let f(s) = -s**2 - s. Let g(q) = 13*q**2 + 4*q. Let d(t) = -6*f(t) - g(t). Factor d(c).
-c*(7*c - 2)
Factor -27/2 - 72*f - 96*f**2.
-3*(8*f + 3)**2/2
Factor 3 + 9/2*v + 3/2*v**2.
3*(v + 1)*(v + 2)/2
Let g(u) be the second derivative of -u**7/42 + 2*u**6/15 - u**5/4 + u**4/6 - 7*u. Factor g(q).
-q**2*(q - 2)*(q - 1)**2
Let y(i) = -i**4 - i**3 - i**2 + 1. Let p(w) = -8*w**4 - 8*w**3 - 12*w**2 - w + 11. Let f(u) = 4*p(u) - 36*y(u). Find x such that f(x) = 0.
-2, -1, 1
What is b in 2 - 4*b**2 + 4 - 8*b**3 + 0 + 8*b - 2*b**4 = 0?
-3, -1, 1
Let -3 - 3/2*n**2 - 9/2*n = 0. Calculate n.
-2, -1
Determine b, given that 6*b**2 - 33*b**3 + 0*b**5 - 9*b**4 + 24*b**3 + 6*b**5 = 0.
-1, 0, 1/2, 2
Let f(t) = -3*t**4 + 9*t**3 - 3*t**2 - 9*t. Let c(m) = -7*m**4 + 19*m**3 - 6*m**2 - 19*m. Let l(q) = -6*c(q) + 13*f(q). Factor l(k).
3*k*(k - 1)*(k + 1)**2
Let n(a) be the second derivative of -a**7/21 + a**6/15 + 9*a. Factor n(m).
-2*m**4*(m - 1)
Let z(d) be the third derivative of 0 - 1/30*d**5 + 1/24*d**4 + 3*d**2 + 1/105*d**7 - 1/336*d**8 + 0*d**3 + 0*d + 0*d**6. Determine l so that z(l) = 0.
-1, 0, 1
Let a(z) be the third derivative of z**5/150 + z**4/15 + z**3/5 + 4*z**2. Factor a(d).
2*(d + 1)*(d + 3)/5
Let v be (40/36)/(7/21). Factor 0 - 2/3*r**5 - 6*r**3 + 14/3*r**2 + v*r**4 - 4/3*r.
-2*r*(r - 2)*(r - 1)**3/3
Factor 16/7*h + 2/7*h**5 + 2/7*h**2 - 2/7*h**4 - 10/7*h**3 + 8/7.
2*(h - 2)**2*(h + 1)**3/7
Let d(r) be the third derivative of r**6/90 - r**5/15 + 8*r**3/9 + 2*r**2. Factor d(s).
4*(s - 2)**2*(s + 1)/3
Factor 1/5 - 2/5*m**3 + 3/5*m - 3/5*m**4 + 2/5*m**2 - 1/5*m**5.
-(m - 1)*(m + 1)**4/5
Let j(x) = 12*x**4 - 28*x**3 + 16*x**2 - 8*x + 8. Let a(v) = 4*v**4 - 9*v**3 + 5*v**2 - 3*v + 3. Let f(c) = -8*a(c) + 3*j(c). Solve f(k) = 0 for k.
0, 1, 2
Let r(u) be the second derivative of u**6/420 - 2*u**5/105 + u**4/21 + u**2 + 10*u. Let p(l) be the first derivative of r(l). Factor p(d).
2*d*(d - 2)**2/7
Let d(o) be the third derivative of -1/360*o**6 + 0 + 1/36*o**4 + 1/180*o**5 + 0*o + 6*o**2 + 0*o**3. Factor d(r).
-r*(r - 2)*(r + 1)/3
Let k(g) = -g - 2. Let m be k(-10). What is d in -2*d**4 + d**4 + d**4 + 2*d**4 + m*d - 6*d**3 = 0?
-1, 0, 2
Let c(t) = t**2. Let j(i) = 2*i**3 - 2*i**2 + 2*i. Let o = 2 + -3. Let v(d) = o*j(d) + 2*c(d). Determine f, given that v(f) = 0.
0, 1
Let a be (-2 + 2 - 1) + 1. Suppose 4*q - 5 - 11 = a. Factor 7*k**2 - q*k**2 + k - 2*k**2.
k*(k + 1)
Suppose 7*b - 3*b - 5*v + 12 = 0, 0 = -2*v. Let i(a) = a**2 + a. Let h(u) = -u**2 - 2*u. Let f(j) = b*i(j) - 2*h(j). Factor f(y).
-y*(y - 1)
Let h(s) be the second derivative of -11*s**4/21 - 16*s**3/7 - 8*s**2/7 - 6*s. Suppose h(m) = 0. Calculate m.
-2, -2/11
Factor -88 + 96 + 2*s**2 + 4*s + 6*s.
2*(s + 1)*(s + 4)
Let u = -1411/9 + 157. Suppose 0*p**3 + 0*p + 0 + 0*p**2 - 2/9*p**5 - u*p**4 = 0. What is p?
-1, 0
Let b(z) be the second derivative of 1/9*z**3 + 0*z**4 + 0*z**2 - 1/30*z**5 + z + 0. Let b(f) = 0. Calculate f.
-1, 0, 1
Let r(n) = 17*n**3 + 34*n**2 - 11*n - 7. Let i(c) = -18*c**3 - 35*c**2 + 10*c + 6. Suppose 2*g + 2 = 6. Let b(w) = g*r(w) + 3*i(w). Factor b(f).
-(f + 2)*(4*f + 1)*(5*f - 2)
Let x(k) be the third derivative of -1/30*k**5 + 0*k + 2*k**2 + 0*k**3 - 1/525*k**7 + 0 + 1/75*k**6 + 1/30*k**4. Factor x(p).
-2*p*(p - 2)*(p - 1)**2/5
Factor 30*b**3 + 89*b - 3*b**4 - 22*b - 43*b - 51*b**2.
-3*b*(b - 8)*(b - 1)**2
What is w in 19*w - 4*w**3 + 3*w**5 - 17*w - w**5 = 0?
-1, 0, 1
Let t(x) = x**2 - 3*x + 3. Let f be t(2). Factor -6*a**3 + 2*a**2 - a**3 - 1 - f + 7*a.
-(a - 1)*(a + 1)*(7*a - 2)
Let w be 5/10*3 - 1. Let w*x**2 + 0 + 0*x = 0. What is x?
0
Let l be (3*2)/(6/3). Suppose -4*m - v - 3*v = -36, 2*v + 2 = l*m. What is o in -o + 1 - o**m + 3*o**5 - 3*o**3 + 6*o**4 - 6*o**2 + o**3 = 0?
-1, 1/3, 1
Find g, given that 72*g**2 - 80*g - 3 + 162*g**2 + 11 - 162*g**3 = 0.
2/9, 1
Factor 9/2 - 3/4*k - 3/4*k**3 - 3*k**2.
-3*(k - 1)*(k + 2)*(k + 3)/4
Let m = 11 + -9. Factor 0*h**3 - m*h**4 + h + 5*h**4 - 4*h - 3*h**2 + 3*h**3.
3*h*(h - 1)*(h + 1)**2
Solve 2/15 + 0*n - 2/15*n**2 = 0 for n.
-1, 1
Let n be 2/14 + 3 + 16/(-14). Let i(y) be the second derivative of 0*y**5 + 1/45*y**6 - 1/18*y**4 + 0*y**n - 1/126*y**7 + y + 1/18*y**3 + 0. Factor i(c).
-c*(c - 1)**3*(c + 1)/3
Let t = 32 - 28. Let s(x) be the second derivative of 2*x - 5/6*x**4 - t*x**3 - 4*x**2 + 0. Suppose s(y) = 0. Calculate y.
-2, -2/5
Determine j so that 4*j**4 - 19*j**3 + j + j**2 - 5*j**4 + 20*j**3 - 2*j = 0.
-1, 0, 1
Let r(w) be the first derivative of 2*w**3/15 + w**2 + 8*w/5 + 2. Find h such that r(h) = 0.
-4, -1
Let r(w) = 3*w. Let x be r(0). Solve x + 1/4*h**2 + 0*h - 1/4*h**3 = 0 for h.
0, 1
Suppose 18 = j + 16. Let n = -1/4 - -11/12. Let -8/3 - 8/3*l - n*l**j = 0. What is l?
-2
Suppose -3*u + 11 = 23. Let g be 0 + u + (-176)/(-40). Let 0*c**2 + 0 + g*c**3 - 2/5*c = 0. What is c?
-1, 0, 1
Let a(y) be the first derivative of y**6/60 - 7*y**5/50 + 9*y**4/20 - 2*y**3/3 + 2*y**2/5 + 17. Suppose a(g) = 0. Calculate g.
0, 1, 2
Let t(m) = m**2 + 4*m - 2. Let v be t(-7). Suppose -4 = 5*f - v. Factor 0*g + g**2 + 0 - 7/2*g**f.
-g**2*(7*g - 2)/2
Let p(c) be the second derivative of -3*c**5/80 + 7*c**4/48 - c**3/12 - 5*c. Factor p(s).
-s*(s - 2)*(3*s - 1)/4
Let x(s) be the first derivative of -s**7/84 + s**5/40 - 4*s - 2. Let c(w) be the first derivative of x(w). Factor c(t).
-t**3*(t - 1)*(t + 1)/2
Let q(y) = y**3 + y**2 - 1. Let k(j) = 6*j**3 + 9*j**2 + 4*j - 1. Let g(l) = k(l) - 5*q(l). Let m(w) be the first derivative of g(w). Factor m(c).
(c + 2)*(3*c + 2)
Let l be 15*(-1 - 12/(-9)). Let u(j) be the first derivative of -3 + 1/33*j**6 + 5/11*j**2 - 20/33*j**3 - 2/11*j + 5/11*j**4 - 2/11*j**l. Solve u(d) = 0.
1
Let b(z) be the first derivative of 1/6*z**3 + 0*z - 1/4*z**2 - 1. What is q in b(q) = 0?
0, 1
Suppose 0 = -4*r + 16 - 0. Suppose r*k + q - 20 = -3*q, -5*k + 1 = -3*q. Factor 0 - 4/5*y - 24/5*y**3 + k*y**4 + 18/5*y**2.
2*y*(y - 1)**2*(5*y - 2)/5
Solve -z - z**3 - 24*z**2 + 14*z**2 + 7*z**2 - z = 0.
-2, -1, 0
Find n such that 36/11*n**2 + 0 - 162/11*n**3 - 2/11*n = 0.
0, 1/9
Find s such that 0 - 1/8*s**3 + 0*s**2 - 1/8*s**4 + 0*s = 0.
-1, 0
Let o(q) = 2*q**4 - 4*q**2 - 4. Let w(v) = -3*v**4 - v**3 + 5*v**2 + 5. Let h(p) = -5*o(p) - 4*w(p). Suppose h(b) = 0. Calculate b.
-2, 0
Let d(j) be the third derivative of -j**6/60 + j**5/15 + j**4/12 - 2*j**3/3 - 11*j**2. Let d(r) = 0. What is r?
-1, 1, 2
Let y(v) be the third derivative of v**5/120 - v**4/48 + 5*v**2. Solve y(m) = 0.
0, 1
Let h(f) be the third derivative of -f**7/70 + f**6/10 - 3*f**5/10 + f**4/2 - f**3/2 - 12*f**2. Factor h(z).
-3*(z - 1)**4
Let i(d) be the third derivative of d**6/40 - 3*d**5/20 - d**4/8 + 3*d**3/2 - 11*d**2. Let i(u) = 0. What is u?
-1, 1, 3
Let y(x) be the third derivative of -5*x**8/336 + x**6/24 - 13*x**2. Find t, given that y(t) = 0.
-1, 0, 1
Suppose 3*h = 3*z - 9, h + 1 = -2*z - 4*h. Let f(c) be the first derivative of -1/6*c**3 + 0*c**2 + 1/2*c - z. Find o, given that f(o) = 0.
-1, 1
Let v be -1 - -38*(-1)/(-2). Factor w**2 - v*w + 18*w - 1.
(w - 1)*(w + 1)
Let r(j) be the first derivative of j**4/12 - 4*j**3/9 + 2*j**2/3 - 50. Suppose r(m) = 0. What is m?
0, 2
Suppose -2*r - 1 - 8 = 5*i, r = 4*i + 2. Let z(x) = -3 + 1 + x**3 + 1 + 0. Let m(h) = 1. Let y(u) = i*m(u) - z(u). Let y(c) = 0. What is c?
0
Solve -4*o**2 + 4/5*o + 8/5 + 8/5*o**3 = 0.
-1/2, 1, 2
Let l = 1777/4 + -444. Factor -1/4*f**2 + 1/2 + 3/4*f**3 - 3/4*f - l*f**4.
-(f - 2)*(f - 1)**2*(f + 1)/4
Let t(p) = -p**3 + 4*p**2 - 3*p + 2. Suppose -2*a - 15 = -7*a. Let d be t(a). Find q, given that 4/3*q**4 + 0*q**3 + 2/3*q**5 - 2/3*q - 4/3*q**d + 0 = 0.
-1, 0, 1
Let i(x) be the first derivative of -1/10*x**4 + 0*x**3 + 0*x + 1/30*x**6 + 1/10*x**2 - 1 + 0*x**5. Determine s so that i(s) = 0.
-1, 0, 1
Let c be 2/(-7) + (-24)/14. Let v be (-1)/(c - (-6)/4). Factor 2*l**2 - l**v - 8*l**5 + l**2 + 16*l**4 - 10*l**3.
-2*l**2*(l - 1)*(2*l - 1)**2
Let c be 1/12*(-10)/(-4)*4. Let o(k) be the first derivative of -4/3*k - 1 + 7/3*k**2 - 2*k**3 + c*k**4 - 2/15*k**5. Factor o(x).
-2*(x - 2)*(x - 1)**3/3
Suppose -8/3*j - 2/3*j**2 - 2 = 0. Calculate j.
-3, -1
Let k(y) = 2*y**3 - y**2 + 8*y + 6. Let l(r) = -3 + 6*r**2 - 4 - 3*r**3 - 9*r - 5*r**2. Let p(f) = -6