 - s**4 - 4*s**3. Let u(a) be the first derivative of q(a). Let u(b) = 0. What is b?
-2
Let t be (50/140)/((-2)/(-172)). Let x = -29 + t. Factor 2/7*k**4 + 2/7 + x*k**2 - 8/7*k**3 - 8/7*k.
2*(k - 1)**4/7
Suppose 3*l - 8 = -l. Let -4*d**3 - d**3 + 2*d**2 + 3*d**3 + 2*d - l = 0. What is d?
-1, 1
Suppose 0 = 11*w + 16*w - 35*w. Factor w*r**2 + 2/5*r**4 + 0 + 0*r**3 + 0*r + 2/5*r**5.
2*r**4*(r + 1)/5
Let q = 3/7 - 5/28. Let a be (-6)/4*1/(-6). Factor 1/2 - a*k**2 + q*k.
-(k - 2)*(k + 1)/4
Let g(d) be the second derivative of d**6/15 + 19*d**5/70 + 5*d**4/14 + d**3/21 - 2*d**2/7 - 7*d. Let g(w) = 0. What is w?
-1, 2/7
Let i(y) = -y**2 + 9*y + 12. Let j be i(10). Let q(x) be the first derivative of -2 + 2/15*x**3 - 1/5*x**j - 4/5*x. Let q(a) = 0. Calculate a.
-1, 2
Let o = 5/6 + -1/2. Suppose 1/3*w**2 + 1/3*w - o*w**3 + 0 - 1/3*w**4 = 0. What is w?
-1, 0, 1
Let f(l) be the first derivative of 0*l**2 - 1/15*l**3 + 0*l**4 - 6 + 0*l + 1/25*l**5. Factor f(r).
r**2*(r - 1)*(r + 1)/5
Let l(y) be the first derivative of -12*y**3 + 8*y - 7 - 5*y**4 + 10*y**2 + 28/5*y**5. Factor l(u).
4*(u - 1)**2*(u + 1)*(7*u + 2)
Let i = 21 - 11. Let l be -1*2/((-4)/i). What is b in -9*b**5 - 8*b**5 - b**5 + 21*b**4 + 3*b**l - 6*b**3 = 0?
0, 2/5, 1
Let c be (-3)/(-2) - 71/36. Let x = -2/9 - c. Factor -1/4*h - x*h**3 + 0 + 1/2*h**2.
-h*(h - 1)**2/4
Let l(w) = -w**2 - 5*w - 2. Let c be l(-3). Let a be (-1 - 0)*c/(-16). Factor 0*u**2 + 0 - a*u**3 + 0*u.
-u**3/4
Let g(r) = -r**2 - 8*r - 5. Let z be g(-7). Suppose -1 = -z*y - 5*x - 5, 2*y = -3*x. Determine m so that -2 - m**4 - y*m + 1 + 3*m + 2*m**2 = 0.
-1, 1
Let i(h) = -2*h**2 + h - 11. Let x be i(-8). Let g = x - -738/5. Suppose 12/5 + 0*l - 9/5*l**2 - g*l**3 = 0. What is l?
-2, 1
Determine x, given that 9/5*x - 3/5*x**2 - 6/5 = 0.
1, 2
Let s(c) be the first derivative of 3*c**4/4 - 9*c**2/2 - 6*c - 3. Factor s(f).
3*(f - 2)*(f + 1)**2
Let b(m) be the second derivative of 0*m**3 + 1/36*m**4 - 2*m + 0*m**2 + 0. Factor b(j).
j**2/3
Let k(v) be the first derivative of 7*v**3/18 - 13*v**2/12 + v - 4. Solve k(h) = 0 for h.
6/7, 1
Let h be 4/3*(-15)/(-10). Let -h*z + 1 + 5*z**2 - 2*z**2 - 2*z**2 = 0. Calculate z.
1
Let a(w) = -7*w**2 + 31*w - 10. Let c be a(4). Suppose 2/11 + 0*b - 2/11*b**c = 0. What is b?
-1, 1
Suppose f = 4*u - 93, -3*u - f + 4*f + 63 = 0. Factor -7*l**3 + 4*l**3 + l**2 + 21*l**2 + u - 36*l - 4*l**2.
-3*(l - 2)**3
Let o(l) = -4*l**2 + 2*l + 7. Let u(y) = y**2 + y - 1. Let n(z) = -o(z) - u(z). Factor n(a).
3*(a - 2)*(a + 1)
Let g(u) be the first derivative of -1/2*u + 2 - 3/8*u**2 - 1/12*u**3. Let g(s) = 0. What is s?
-2, -1
Let n(t) be the first derivative of 0*t - t**4 + 2 + 0*t**2 - 2/3*t**3 - 2/5*t**5. Determine m, given that n(m) = 0.
-1, 0
Factor 2/3*f**2 + 0 + 6*f.
2*f*(f + 9)/3
Suppose 3*k - 2*g - 26 = 0, -k = -5*k + 5*g + 23. Factor 0 + 0 - 6*d - k*d**2 - 4 + 10*d**2.
-2*(d + 1)*(d + 2)
Let v be 6 + 1 - 5 - 2*1. Suppose u = 3*u - 4. Factor 1/3*q**3 + 1/3*q**u + v*q + 0.
q**2*(q + 1)/3
Let n(p) be the second derivative of p**7/5460 + p**6/780 - p**5/195 + 3*p**3/2 - 3*p. Let w(g) be the second derivative of n(g). Suppose w(c) = 0. Calculate c.
-4, 0, 1
Let b be (-7)/(-2) - 2/4. Let t = -59 - -237/4. Factor 1/4*c - 1/4*c**2 - t*c**b + 1/4.
-(c - 1)*(c + 1)**2/4
Suppose -267*j + 4 = -266*j. Let o(k) be the first derivative of 1 + 2/3*k**3 + 0*k + 1/4*k**j + 1/2*k**2. Let o(w) = 0. What is w?
-1, 0
Let l(h) be the first derivative of -h + 1/3*h**3 + 1/4*h**4 - 1/2*h**2 + 2. Factor l(o).
(o - 1)*(o + 1)**2
Find m, given that -68/3*m + 16/3 - 6*m**2 = 0.
-4, 2/9
Let n be (10/35)/(((-288)/(-28))/6). Factor 1/3*x + 0 + n*x**2.
x*(x + 2)/6
Let v be (2/(8/5))/(31/248). Let 0 - 125/2*q**4 - 9/2*q**3 - 50*q**5 + 2*q + v*q**2 = 0. Calculate q.
-1, -2/5, -1/4, 0, 2/5
Let p = 17/195 + 3/65. Let i(w) be the first derivative of 0*w + 2/25*w**5 - 1/5*w**4 + 0*w**2 + 3 + p*w**3. Find x, given that i(x) = 0.
0, 1
Factor -4*a**3 + 2*a**2 - 6*a**3 + 2*a**2.
-2*a**2*(5*a - 2)
Let a(v) be the second derivative of 1/12*v**3 - 1/8*v**2 + 0 - 3*v - 1/48*v**4. Let a(i) = 0. Calculate i.
1
Find m such that 3/4*m - 1/4*m**2 - 1/2 = 0.
1, 2
Factor -3 - 2*o - 2*o - o + o**2 + 7*o.
(o - 1)*(o + 3)
Let i(q) be the first derivative of -q + 0*q**2 + 1/48*q**4 + 1 + 0*q**3. Let g(n) be the first derivative of i(n). Suppose g(z) = 0. Calculate z.
0
Factor -8/3*y + 8*y**2 + 4*y**4 - 2/3*y**5 + 0 - 26/3*y**3.
-2*y*(y - 2)**2*(y - 1)**2/3
Let o(c) be the second derivative of -c**8/84 - 4*c**7/105 + 2*c**5/15 + c**4/6 + c**2 + c. Let x(v) be the first derivative of o(v). What is i in x(i) = 0?
-1, 0, 1
Let n(x) be the second derivative of 0*x**5 + 0 + 0*x**2 + 2*x + 1/150*x**6 - 1/60*x**4 + 0*x**3. Factor n(v).
v**2*(v - 1)*(v + 1)/5
Let u(y) = 0 + y**2 + 5*y + y - 5. Let r be u(-7). Factor 0*p**3 + p**3 - p**r + 0*p**2.
p**2*(p - 1)
Factor -1/2 - 1/8*z**2 - 1/2*z.
-(z + 2)**2/8
Let t be (-15)/(-20) - 75/132. Suppose t*x + 0 - 2/11*x**2 = 0. What is x?
0, 1
Factor 283*p**3 + 24 + p - 5*p - 279*p**3 - 24*p**2.
4*(p - 6)*(p - 1)*(p + 1)
Suppose -v - 4*v = 0. Suppose -5*d = -4*q + q + 21, d + 3 = v. Solve -9/2*m**5 - 15/2*m**2 + q + 15/2*m**4 + 0*m + 5/2*m**3 = 0 for m.
-2/3, 1
Factor -20/23*a**2 - 2/23 - 10/23*a**4 + 20/23*a**3 + 10/23*a + 2/23*a**5.
2*(a - 1)**5/23
Let q(x) be the first derivative of -2/15*x**5 + 1/9*x**2 + 1/18*x**4 - 2/27*x**6 + 0*x - 1 + 2/9*x**3. Find w such that q(w) = 0.
-1, -1/2, 0, 1
Let w(m) = 7*m**4 - 2*m**3 - 4*m**2 + 8*m + 3. Let u(a) = 20*a**4 - 6*a**3 - 12*a**2 + 23*a + 9. Let p(h) = -6*u(h) + 17*w(h). Solve p(x) = 0 for x.
-1, 1, 3
Let i(a) = a**3 - 8*a**2 + 7*a + 3. Let z be i(7). Factor 0 - 2 + y**2 + 1 + y - y**z.
-(y - 1)**2*(y + 1)
Let y(n) be the first derivative of -1/6*n**4 + 5 + 4/9*n**3 - 1/3*n**2 + 0*n. Factor y(a).
-2*a*(a - 1)**2/3
Let f(u) be the third derivative of -u**8/252 + u**7/63 - u**5/18 + u**4/18 - 11*u**2. Determine z, given that f(z) = 0.
-1, 0, 1/2, 1, 2
Solve -1 - 4*u**3 + 4*u - 3 + 11*u**2 - 7*u**2 = 0 for u.
-1, 1
Let c(n) be the second derivative of -49*n**6/540 - 7*n**5/15 - 5*n**4/9 - 8*n**3/27 - n**2 - 4*n. Let g(x) be the first derivative of c(x). Factor g(y).
-2*(y + 2)*(7*y + 2)**2/9
Let v be (1*2)/((-2)/(-2)). Suppose 2*x + x**v + 0*x - 3*x = 0. Calculate x.
0, 1
Let j(u) be the first derivative of u**4/6 - 4*u**3/9 - 7. What is d in j(d) = 0?
0, 2
Factor 15*k - 5*k**2 + 4 + 0*k - 14.
-5*(k - 2)*(k - 1)
Let n(v) = 10*v**4 - 2*v**3 - 4*v**2 + 2*v - 6. Let s(a) = -a**5 + a**4 + a**3 - 1. Let c(h) = n(h) - 6*s(h). Determine j, given that c(j) = 0.
-1, 0, 1/3, 1
Determine l so that 12*l**3 - 5*l**4 + 12 - 20*l - 6*l**3 + 3 + 14*l**3 - 10*l**2 = 0.
-1, 1, 3
Let q(m) be the third derivative of 1/210*m**5 + 0 + 0*m + 1/42*m**4 + 1/21*m**3 + 4*m**2. Suppose q(s) = 0. Calculate s.
-1
Suppose -g - 12 = g. Let l be (-3 + -3)*2/g. Let -10/11*b - 10/11*b**4 - 20/11*b**l - 2/11 - 20/11*b**3 - 2/11*b**5 = 0. What is b?
-1
Determine m, given that -3/5*m**3 - 6/5*m**2 + 6/5 + 3/5*m = 0.
-2, -1, 1
Let r be ((-4)/3)/((-4)/6). Suppose 5*v + p - 22 = 0, 4*p + 7 = -3*v + r*v. Solve 2*z**5 + 0*z**3 - 3*z**v + z**3 = 0 for z.
-1, 0, 1
What is v in 0 + 5*v + 25/2*v**2 + 10*v**3 + 5/2*v**4 = 0?
-2, -1, 0
Factor 3/2*z**2 + 0*z - 1/2 + z**3.
(z + 1)**2*(2*z - 1)/2
Factor 0 + 1/4*h + 1/4*h**2.
h*(h + 1)/4
Let w(l) = 4*l**2 + l - 1. Let h be w(1). Let z(d) = -d**2 + 5*d - 4. Let q be z(h). Factor 0*t + q - 1/3*t**3 - 2/3*t**2.
-t**2*(t + 2)/3
Let m be -5*((-5)/15)/((-15)/(-18)). Solve t + 0 - t**m + 1/4*t**3 = 0 for t.
0, 2
Let d(z) be the second derivative of -z**4/4 - 9*z**3/14 - 3*z**2/7 - 18*z. Solve d(x) = 0.
-1, -2/7
Let w(c) be the third derivative of -c**6/100 - 19*c**5/100 - c**4/5 + 9*c**3/10 + 19*c**2. What is t in w(t) = 0?
-9, -1, 1/2
Factor 0*a**3 - 2/3*a**2 + 0*a + 1/3*a**4 + 1/3.
(a - 1)**2*(a + 1)**2/3
Let b be ((-12)/21)/((-10)/7). Let i be (0/1)/(-2 + 4). Factor 2/5*n**2 + 0*n - b*n**3 + i.
-2*n**2*(n - 1)/5
Let q(p) be the second derivative of p**6/10 - p**4/4 - 7*p. Factor q(z).
3*z**2*(z - 1)*(z + 1)
Let r(v) be the first derivative of 1/2*v**4 - 2*v**2 + 3 + 3*v**3 + 0*v + 1/30*v**5. Let q(d) be the second derivative of r(d). Solve q(g) = 0.
-3
Let q(m) be the second derivative 