s**4 + s**2 - 4*s**2.
-s*(s - 1)**3
Let w(p) be the first derivative of -4*p**3/3 + 8*p**2 - 7. Factor w(l).
-4*l*(l - 4)
Let y(j) be the first derivative of j**4 - 24*j**2 + 64*j - 8. Factor y(i).
4*(i - 2)**2*(i + 4)
Suppose 8*q - t + 19 = 12*q, q - 4*t = -8. Let -3/7*z**q - 3/7*z**2 + 0*z + 0 + 6/7*z**3 = 0. Calculate z.
0, 1
Let p(z) = -z + 18. Let s be p(16). Find t such that -2/7*t**3 + 0 - 2/7*t + 4/7*t**s = 0.
0, 1
Let s(b) be the second derivative of -b**10/45360 - 5*b**4/12 + 3*b. Let g(j) be the third derivative of s(j). Factor g(r).
-2*r**5/3
Let y(k) be the first derivative of -5*k**6/33 + 6*k**5/55 + k**4/11 + 15. Factor y(s).
-2*s**3*(s - 1)*(5*s + 2)/11
Factor -5/2 - 5*q**3 - 1/2*q**5 - q**2 + 11/2*q + 7/2*q**4.
-(q - 5)*(q - 1)**3*(q + 1)/2
Let h(j) be the second derivative of -j**5/70 + j**4/14 - j**3/7 + j**2/7 + 19*j. Determine w so that h(w) = 0.
1
Let h(k) = -k**2 + k + 1. Let w(y) be the second derivative of -5*y**4/12 + 5*y**3/6 + 2*y**2 + 5*y. Let j(r) = -4*h(r) + w(r). Factor j(b).
-b*(b - 1)
Let i be (0 + -2)*-3 - 2. Let x(m) = m + 1. Let p be x(2). Determine u, given that 0*u + 6 - 3*u**4 - 6*u + 3*u + p*u**3 + 6*u**i - 9*u**2 = 0.
-2, -1, 1
Let c = -1 - -5. Let p be 15/(-12) - (-6)/c. Suppose 0*l**2 + 0 + 0*l**4 + 1/4*l**5 - 1/2*l**3 + p*l = 0. Calculate l.
-1, 0, 1
Let b(v) = -2*v**3 - 9*v**2 + 2*v - 9. Let g = 11 - 15. Let l(f) = -f**3 - 4*f**2 + f - 4. Let s(j) = g*b(j) + 9*l(j). Let s(k) = 0. What is k?
-1, 0, 1
Factor 1/3*h**2 + 0 - 1/3*h.
h*(h - 1)/3
Let o(h) = h**3 + 11*h**2 + 9*h - 8. Let i be o(-10). Let g(u) = u**3 - 6*u**2 + 4*u + 7. Let w be g(5). Suppose 5 - i*d + w*d**2 - 5 = 0. What is d?
0, 1
Suppose -5*d + 7 + 3 = 0. Suppose -11 + d = -3*s. Solve 0*v + 0*v**s + 1/2*v**4 + 0*v**2 + 0 = 0.
0
Suppose 3*x = -0 - 42. Let n = 15 + x. Factor -7/2*f**2 - 5/2*f + n.
-(f + 1)*(7*f - 2)/2
Let o be 3 + -1*1/5*3. Suppose -4/5*b**4 + 16/5 - 16/5*b + 16/5*b**3 - o*b**2 = 0. What is b?
-1, 1, 2
Let h = 10/9 + 11/9. Let i = h - 2. Factor 0 + 0*j - 1/3*j**3 + i*j**4 + 0*j**2.
j**3*(j - 1)/3
Let s = 2 + 1. Let t be (-2 - s/(-2))/(-1). Let 0*f + 1/2 - t*f**2 = 0. What is f?
-1, 1
Let g(o) be the second derivative of o**5/390 - o**3/39 - 3*o**2 - 6*o. Let c(u) be the first derivative of g(u). Suppose c(i) = 0. Calculate i.
-1, 1
Let q(f) be the first derivative of -3*f**5/10 + 3*f**4/8 + 6. Solve q(r) = 0.
0, 1
Let d(p) be the third derivative of -1/60*p**5 + 0*p + 1/120*p**6 + 0 - 11*p**2 - 1/24*p**4 + 1/6*p**3. Factor d(t).
(t - 1)**2*(t + 1)
Let z = -2 - -6. Let z - y**2 + y + 5 - 9 = 0. Calculate y.
0, 1
Let q(y) be the third derivative of y**7/350 + y**6/200 - y**5/100 - y**4/40 - 31*y**2. Factor q(z).
3*z*(z - 1)*(z + 1)**2/5
Let o(i) be the second derivative of i**5/60 + i**4/18 + 2*i - 37. Factor o(c).
c**2*(c + 2)/3
Let g(h) be the second derivative of 49*h**6/10 - 231*h**5/20 - 131*h**4/2 + 82*h**3 - 36*h**2 + 3*h. Suppose g(u) = 0. What is u?
-2, 2/7, 3
Let b(o) = o**2 + 28*o - 93. Let d be b(3). Solve -4/3*i**4 + 2/3*i**3 + 2/3*i**5 + 0*i + d + 0*i**2 = 0 for i.
0, 1
Let q(k) = -k**2 + k - 1. Let t be q(1). Let d = 6 + t. Suppose -1/2*p**4 - 1/4*p**d - 1/4*p**3 + 0*p**2 + 0 + 0*p = 0. What is p?
-1, 0
Let y(p) = p**5 - 9*p**4 + 22*p**3 - 27*p**2 + 18*p - 4. Let i(o) = o**4 - o**2 - o. Let a(d) = -3*i(d) - 3*y(d). What is z in a(z) = 0?
1, 4
Let u(l) be the second derivative of -l**5/30 - l**4/6 + l**3 + 9*l**2/2 + 3*l. Let d(o) be the first derivative of u(o). Find b, given that d(b) = 0.
-3, 1
Let j(n) be the first derivative of -n**5/3 + 2*n**4/3 + 4*n**3/9 - 6. Factor j(t).
-t**2*(t - 2)*(5*t + 2)/3
Let x be -3 + (10 + 3)*-1. Suppose 2 = n - 3. Let g(u) = 22*u**2 + 28*u + 6. Let c(a) = 7*a**2 + 9*a + 2. Let z(t) = n*g(t) + x*c(t). Factor z(v).
-2*(v + 1)**2
Suppose -1/3*y - 1 - 1/9*y**3 + 5/9*y**2 = 0. Calculate y.
-1, 3
Suppose 4*k**2 - 2*k**2 + 14*k**2 + 2*k**4 + 16*k**2 - 16*k**3 = 0. Calculate k.
0, 4
Let f(v) be the second derivative of v**6/15 - 29*v**5/40 + 67*v**4/24 - 17*v**3/4 + 9*v**2/4 + 5*v. Determine k, given that f(k) = 0.
1/4, 1, 3
Suppose -23 = -3*x - 2*p, -16 = -5*p + p. Let f be 0 + 5 - (x + -2). Factor -2/5*v**f - 2/5 + 4/5*v.
-2*(v - 1)**2/5
Let b be 6/106*(-42)/(-9). Let f = 232/477 - b. Factor 4/9*s - f - 2/9*s**2.
-2*(s - 1)**2/9
Let x(f) = 12*f**5 + 34*f**4 + 20*f**3 + 6*f**2 - 2*f. Let i(a) = -a**5 + a**4 - a**3 + a**2 - a. Let m(s) = -4*i(s) + 2*x(s). Let m(q) = 0. Calculate q.
-1, -2/7, 0
Factor 7 - 12*n**2 + 10*n**4 + 26*n**2 - 7 + 4*n + 18*n**3 + 2*n**5.
2*n*(n + 1)**3*(n + 2)
Suppose 2*b = b + 4. Factor 0 - 1/2*d**3 + 1/4*d**2 + 0*d + 1/4*d**b.
d**2*(d - 1)**2/4
Let n be (-2)/((24/15)/(-4)). Suppose -n*m = -4*m. Factor m - w**4 - 5*w + 2*w**3 + 1 + 3*w.
-(w - 1)**3*(w + 1)
Suppose -65*z = -62*z - 6. Find j, given that 4/3*j**4 + 2*j**3 + 0*j + 0 + 2/3*j**z = 0.
-1, -1/2, 0
Let v(t) be the first derivative of 6 + t**2 + 3*t - 1/3*t**3. Factor v(y).
-(y - 3)*(y + 1)
Let g(m) be the second derivative of 2/5*m**2 - 6*m - 4/15*m**3 - 1/12*m**4 + 0. Factor g(a).
-(a + 2)*(5*a - 2)/5
Let d(j) be the first derivative of 2/5*j**5 - 1/12*j**6 + 3 + 0*j**2 - 5/8*j**4 + 0*j + 1/3*j**3. Find b, given that d(b) = 0.
0, 1, 2
Let j = -1/17 + 37/51. Suppose 4/3*a**2 + 0*a + j*a**4 + 0 - 2*a**3 = 0. What is a?
0, 1, 2
Suppose 4*t - 3*p = 16 - 1, 0 = -t - 3*p. Factor 0*o - 2*o**3 - o + t*o.
-2*o*(o - 1)*(o + 1)
Let h = 53 + -31. Suppose 0 = -5*v - 4*j + h, j + 4*j + 40 = 5*v. Factor 3*u**3 + 3/2*u**4 + 6 - v*u - 9/2*u**2.
3*(u - 1)**2*(u + 2)**2/2
Let s(z) be the second derivative of -z**5/90 - z**4/18 + z**3/3 - 3*z**2/2 + 7*z. Let h(n) be the first derivative of s(n). Factor h(i).
-2*(i - 1)*(i + 3)/3
Let b(m) = 3*m**2 - 4*m - 9. Let s be b(-3). Let h be (-20)/(-15)*9/s. Let 2/5*v**4 + 0 - 4/5*v**3 + 0*v + h*v**2 = 0. What is v?
0, 1
Let c = -149 - -149. Let y(a) be the second derivative of c + 1/6*a**4 - a**3 + 2*a**2 - 2*a. Factor y(n).
2*(n - 2)*(n - 1)
Let 12*t**2 - 26 + 4 + 9*t**2 + 4 + 57*t = 0. Calculate t.
-3, 2/7
Let x(f) be the second derivative of -1/8*f**4 + 3*f + 0 + 1/2*f**3 - 3/4*f**2. Solve x(q) = 0.
1
Let y be (-7)/(-4) + 3/12. What is a in 0 + 5*a**2 - 2*a**y + 6 + 9*a = 0?
-2, -1
Let c(g) be the first derivative of g**6/69 - 3*g**4/46 - 4*g**3/69 - 35. Determine x so that c(x) = 0.
-1, 0, 2
Let p(f) = 1 + 50*f**2 + 6*f**2 + 1 - 4*f + 24*f. Let n(i) = i**2. Let g(m) = -6*n(m) + p(m). Factor g(z).
2*(5*z + 1)**2
Factor 2/11*w**5 - 8/11*w**2 + 6/11*w**4 + 0*w**3 + 0*w + 0.
2*w**2*(w - 1)*(w + 2)**2/11
Let i = 2 - 0. Let h = 5 - i. Factor t - 3*t - 2*t**h + 2*t**2 - 6*t**2.
-2*t*(t + 1)**2
Suppose -g = -1 - 20. Factor 4*f**2 + 21 - g - 8*f.
4*f*(f - 2)
Suppose -n + 5 - 2 = 0. Let t = 1 + 3. Factor -n*a**3 + t*a**2 - 3*a**2 + a**3.
-a**2*(2*a - 1)
Suppose -p - 4 = -3, 0 = -4*y - 2*p + 14. Suppose -2*c = -5*f + 32, -y*c + 40 = 2*f + f. Factor -5*w**5 + 4*w**5 + 2*w + f*w**2 + 12*w**3 + 8*w**4 + 3*w**5.
2*w*(w + 1)**4
Let j(h) be the first derivative of -3*h**5/20 - 9*h**4/8 - 11*h**3/4 - 9*h**2/4 - 50. Find g, given that j(g) = 0.
-3, -2, -1, 0
Let s(u) = -u + 3. Let x be s(0). Let x*b - 6*b**2 - 2 + 3*b**2 + b + b**2 = 0. Calculate b.
1
Let z(k) be the first derivative of -2*k**3/45 - k**2/5 + 8*k/15 + 11. Factor z(m).
-2*(m - 1)*(m + 4)/15
Let n(i) be the first derivative of -4*i**3/15 + 16*i**2/5 - 64*i/5 + 9. Factor n(g).
-4*(g - 4)**2/5
Let f be ((-18)/20)/(42/(-35)). Factor 0 + 1/4*j - f*j**2 - j**3.
-j*(j + 1)*(4*j - 1)/4
Let s(h) be the first derivative of h**7/315 - h**6/45 - h**5/45 + h**4/3 + h**3 - 2*h**2 - 4. Let x(y) be the second derivative of s(y). Factor x(o).
2*(o - 3)**2*(o + 1)**2/3
Let f(x) be the first derivative of x**4 - 2/5*x**5 - 4 - x**2 + 4/3*x**3 - 1/3*x**6 - 2*x. Factor f(j).
-2*(j - 1)**2*(j + 1)**3
Let m(k) = k**3 + 11*k**2 + 9*k - 9. Let t be m(-10). Suppose 2*n + t = 5. Let -n*a**2 + 2/7 - 8/7*a**3 - 4/7*a = 0. What is a?
-1, 1/4
Let x(w) be the second derivative of -w**5/20 + w**4/4 - w**3/3 + 4*w. Factor x(v).
-v*(v - 2)*(v - 1)
Let a be 0 + 1 - (6/(-3) - 0). Let h(s) be the second derivative of 0 - a*s + 1/18*s**3 - 1/6*s**2 + 1/36*s**4 - 1/60*s**5. Suppose h(b) = 0. What is b?
-1, 1
Let o(n) = 7*n**3 + 7*n**2 - 7*n - 2. Let x = -4 - -9