x(w). Find m such that o(m) = 0.
0, 1
Suppose -5*g + 16 = 5*q - 14, 0 = q + 2*g - 10. Let m be ((-1)/q)/(14/(-16)). Let 0*z**3 - m*z + 2/7*z**4 + 0 - 6/7*z**2 = 0. What is z?
-1, 0, 2
Let f be 32/18 + 8/36. Factor -k**2 - 7*k**2 + 3*k + 3*k**2 + f.
-(k - 1)*(5*k + 2)
Let g = 22 + -416/19. Let g*b**4 + 2/19*b**3 - 2/19*b - 2/19*b**2 + 0 = 0. Calculate b.
-1, 0, 1
Let f(p) = -2*p - 6. Let v be f(-4). Factor 0*c**3 + 9*c**3 + 6*c**v + 4*c**4 - c**4.
3*c**2*(c + 1)*(c + 2)
Suppose 0 = -40*z + 41*z - 6. Let y(b) be the third derivative of 0*b + 0 - 1/300*b**z - 1/20*b**4 - 1/15*b**3 - 1/50*b**5 - b**2. Find l such that y(l) = 0.
-1
Let i = -18 + 18. What is g in i + 1/4*g**2 + 0*g = 0?
0
Let k(b) be the second derivative of b**4/4 - 4*b**3 + 24*b**2 + 14*b. Determine o so that k(o) = 0.
4
Let h(j) be the third derivative of 0*j - 1/15*j**5 - 6*j**2 - 1/6*j**4 + 0 + 0*j**3. Factor h(i).
-4*i*(i + 1)
Let n(a) = -15*a**4 - 6*a**3 - 3*a. Let b(d) = -d**5 + 16*d**4 + 5*d**3 + 4*d. Let h(q) = -3*b(q) - 4*n(q). Find u such that h(u) = 0.
-3, -1, 0
Let c be (5 - 3)/(-11*(2 + -3)). Let r be (1/3)/((-33)/(-18)). Suppose -c*f**3 - r*f**4 + 0 + 0*f + 4/11*f**2 = 0. What is f?
-2, 0, 1
Let p(v) be the second derivative of -v**7/42 - v**6/30 + 3*v**5/20 + v**4/12 - v**3/3 + 4*v. Factor p(x).
-x*(x - 1)**2*(x + 1)*(x + 2)
Suppose 5*f = p + 16, -5*f + 0*p + 12 = 3*p. Let i(r) be the first derivative of -1/3*r**6 - 6/5*r**5 + 2*r + f*r**2 - 1 + 4/3*r**3 - r**4. Factor i(v).
-2*(v - 1)*(v + 1)**4
Suppose -2*a = -a - 2*g - 30, -2*g = 5*a - 114. Suppose -2*k + 3*f + a = -f, -2*k + 14 = f. Factor 2*y + k*y**5 + 2*y**3 - 2*y - 8*y**4.
2*y**3*(2*y - 1)**2
Factor 18*z**2 - 33*z**3 + 15*z**5 + 12*z - 6*z**2 + 12*z**5 - 18*z**4.
3*z*(z - 1)**2*(3*z + 2)**2
Let r = 1/156 + 1/13. Let y(f) be the first derivative of -r*f**3 - 9/4*f - 3/4*f**2 - 2. Find p, given that y(p) = 0.
-3
Solve 27*i**2 - 21*i + 0 + 12 - 15*i = 0 for i.
2/3
Let k(r) = -r + 5. Let a be k(5). Suppose -1 = -a*c - 3*c + g, -c + g = 3. Let -3*v + 2*v**2 + c*v - v = 0. Calculate v.
0, 1
Factor 0 - 4/3*y**2 - 1/3*y**3 - 4/3*y.
-y*(y + 2)**2/3
Let k(l) be the third derivative of l**7/1260 + l**6/120 + 5*l**4/24 - 4*l**2. Let o(h) be the second derivative of k(h). Factor o(b).
2*b*(b + 3)
Let q(o) = -5*o**3 - 4. Let d(n) = 5*n**3 + 5. Let j(a) = -4*d(a) - 5*q(a). Factor j(r).
5*r**3
Let a(l) be the third derivative of -1/4*l**3 + 0 - 1/40*l**5 + 1/8*l**4 + 3*l**2 + 0*l. Factor a(d).
-3*(d - 1)**2/2
Factor 2/5*x + 2/5*x**4 + 0 + 6/5*x**2 + 6/5*x**3.
2*x*(x + 1)**3/5
Let j = 1055/6 - 17583/100. Let c(f) be the third derivative of 0 - 1/60*f**4 + j*f**6 + 4*f**2 + 0*f - 1/15*f**3 + 1/150*f**5. Factor c(x).
2*(x - 1)*(x + 1)**2/5
Let j(s) be the first derivative of 7*s**5/5 - s**4/2 + 19. Factor j(h).
h**3*(7*h - 2)
Determine y, given that -4 + 6 - 3 + y**2 = 0.
-1, 1
Factor 4/7*v**2 + 2/7*v**3 - 4/7 - 2/7*v.
2*(v - 1)*(v + 1)*(v + 2)/7
Let c be (2/(-8))/((-1)/8). Let v(l) be the third derivative of -1/60*l**5 - l**c + 0*l + 0*l**3 + 0 - 1/48*l**4 - 1/240*l**6. Factor v(j).
-j*(j + 1)**2/2
Let w(f) be the first derivative of 2*f**5/45 - f**4/6 + 2*f**3/27 + f**2/3 - 4*f/9 + 11. Find g, given that w(g) = 0.
-1, 1, 2
Let y = 45 - 42. Let o(u) be the first derivative of 1 + 1/6*u**y - u - 1/4*u**2. Factor o(a).
(a - 2)*(a + 1)/2
Factor -3/5*c**2 - 3/5*c + 6/5.
-3*(c - 1)*(c + 2)/5
Let s(q) be the third derivative of -5*q**8/168 + 34*q**7/105 - 349*q**6/300 + 34*q**5/25 - 3*q**4/5 + 23*q**2. Factor s(x).
-2*x*(x - 3)**2*(5*x - 2)**2/5
Let g(n) = n**4 - n**2. Let t = -2 + 0. Let b(w) = -w**5 - 9*w**4 + 2*w**3 + 15*w**2 + 7*w + 2. Let v(y) = t*b(y) - 14*g(y). Solve v(o) = 0.
-1, 2
Let l(z) be the first derivative of 0*z**3 + 0*z + 1 - 3/4*z**4 + 3/2*z**2. Factor l(v).
-3*v*(v - 1)*(v + 1)
Suppose 0 = -n + 2*n - f - 8, 4*n + 2*f = 8. What is s in n*s**4 - 2/3*s + 0 + 7/3*s**3 - 7/3*s**2 = 0?
-1, -1/4, 0, 2/3
Let b(z) be the second derivative of z + 0*z**4 + 1/1440*z**6 + 1/480*z**5 + 0 + 1/6*z**3 + 0*z**2. Let n(a) be the second derivative of b(a). Factor n(r).
r*(r + 1)/4
Let l be (1 - 0)/(1/3). Suppose l*q - 4 = q. What is y in -4*y**2 + 0*y - 2*y**q - 4*y - 2*y**3 = 0?
-2, -1, 0
Factor -2/5*x + 4/5*x**2 + 0*x**3 - 4/5*x**4 + 0 + 2/5*x**5.
2*x*(x - 1)**3*(x + 1)/5
Let c be 0 - 5/((-15)/2). Let t be ((0 - -2 - -1) + -3)/(-2). Suppose t + 10/3*r**2 + c*r = 0. Calculate r.
-1/5, 0
Let s be ((-7)/(140/(-8)))/5. Let t(d) be the first derivative of -8/15*d**3 - s*d**5 + 0*d**2 - 2 + 0*d - 2/5*d**4. What is q in t(q) = 0?
-2, 0
Let l(w) be the second derivative of 2*w**7/21 + 26*w**6/15 + 47*w**5/5 + 23*w**4/3 - 32*w**3 - 72*w**2 + 5*w. Let l(c) = 0. Calculate c.
-6, -1, 1
Find z, given that 4*z**2 - 10*z - 4*z**5 + 0*z**2 + 0*z**2 + 12*z**3 - 4*z**4 + 2*z = 0.
-2, -1, 0, 1
Let u(i) = -i**2 - i - 16. Let s(o) = 2*o**2 + 2*o + 17. Let h(n) = 6*s(n) + 7*u(n). Solve h(g) = 0 for g.
-2, 1
Let c(b) be the second derivative of -b**7/14 + b**6/10 + 9*b**5/20 - 5*b**4/4 + b**3 - 32*b. Factor c(s).
-3*s*(s - 1)**3*(s + 2)
Let c be -2 + (-20)/4 + -3. Let f be (c + 10)*(0 - -1). Factor 1/2*k + 9/2*k**3 - 3*k**2 + f.
k*(3*k - 1)**2/2
Let i(x) be the second derivative of -1/9*x**4 - 3*x + 1/18*x**3 - 1/12*x**5 + 0 + 0*x**2. Solve i(g) = 0 for g.
-1, 0, 1/5
Let g = 6 + -2. Suppose 0*m - 8 = -4*m. Find w, given that -5 + g*w + w**2 + w**m + 7 = 0.
-1
Let n = 692 - 692. Factor -3/5*i**4 - 6/5*i**3 + n*i**2 + 3/5 + 6/5*i.
-3*(i - 1)*(i + 1)**3/5
Let p(c) be the third derivative of -c**8/560 + 3*c**7/350 - c**6/100 - c**5/50 + 3*c**4/40 - c**3/10 - c**2. Let p(q) = 0. What is q?
-1, 1
Let d(q) be the first derivative of -1/3*q**3 - q**2 - q - 2. Factor d(t).
-(t + 1)**2
Factor b**4 + 3*b**3 + 2*b**4 - 3*b**5 - 3*b**4.
-3*b**3*(b - 1)*(b + 1)
Find t such that -20/9*t**2 - 4/9*t**3 + 4/9*t**4 + 0 - 4/3*t = 0.
-1, 0, 3
Let s(u) = -u**5 - u**4 - u**3 - u**2 - 1. Let t(n) = 4*n**5 + 4*n**4 + 2. Let p(m) = -2*s(m) - t(m). Suppose p(q) = 0. What is q?
-1, 0, 1
Let p = 10 + -8. Let h(f) be the first derivative of 0*f + 1/4*f**4 + 0*f**3 - 1/2*f**p - 1. Factor h(s).
s*(s - 1)*(s + 1)
Suppose 19 = -4*y - 3*b, -b - 2*b = 5*y + 20. Let d be y*(-1 - (3 + -2)). Factor a**4 - 4 + 4 - d + a**3 - 5*a - 3*a**2.
(a - 2)*(a + 1)**3
Let u = 8 + -5. Suppose 2*d - 3*t - 17 = 0, -4*t = -u*t + 3. Factor 2 + 2*y**3 - 2 + d + 2*y**3 + 14*y + 14*y**2.
2*(y + 1)*(y + 2)*(2*y + 1)
Let m(r) be the second derivative of -r**8/1176 + 5*r**2/2 + 3*r. Let t(v) be the first derivative of m(v). Let t(z) = 0. What is z?
0
Let t be (-1)/4 + 2/8. Let o(s) = -17*s**2 + 0 - 2*s + 12 - 3*s + t*s. Let a(g) = 6*g**2 + 2*g - 4. Let p(m) = 11*a(m) + 4*o(m). Factor p(c).
-2*(c - 2)*(c + 1)
Let a(j) = -j**3 + j**2 + 3*j - 2. Let k be 5/3 - (-2)/6. Let z be a(k). Suppose -t**2 + 1 - 4 + z - 2*t**2 - 6*t = 0. Calculate t.
-1
Suppose -3*y + 6 = -0. What is m in m**y + 3*m**2 + 20*m**4 - 8*m**5 - 18*m**3 + 3*m**2 - m = 0?
0, 1/2, 1
Let v = -90 + 92. Let t(h) be the second derivative of -4/75*h**6 - h + 0 + 1/30*h**4 - 3/50*h**5 + 0*h**v + 0*h**3. Factor t(a).
-2*a**2*(a + 1)*(4*a - 1)/5
Let r(g) be the first derivative of -g**4/4 + 16*g**3/3 + 4*g - 14. Let u be r(16). Factor -1/2*k**u + 0 + 1/2*k**2 + 0*k**3 + 0*k.
-k**2*(k - 1)*(k + 1)/2
Let k(t) be the second derivative of -t**7/105 - t**6/75 + t**5/25 + t**4/15 - t**3/15 - t**2/5 - 2*t. Factor k(x).
-2*(x - 1)**2*(x + 1)**3/5
Let g(p) be the third derivative of -p**8/1176 + p**6/420 + 11*p**2. Determine b, given that g(b) = 0.
-1, 0, 1
Let k = -397 - -399. Factor -3/2 - 3/4*g + 3/4*g**k.
3*(g - 2)*(g + 1)/4
Let n(l) be the first derivative of -2*l**5/95 - 7*l**4/38 - 10*l**3/19 - 9*l**2/19 + 14. Factor n(z).
-2*z*(z + 1)*(z + 3)**2/19
Let l(h) be the third derivative of 2*h**2 + 0*h + 0 - 1/2*h**3 + 1/10*h**6 + 3/20*h**5 - 1/4*h**4 - 2/35*h**7. Let l(o) = 0. Calculate o.
-1/2, 1
Let y(u) be the third derivative of 0*u**3 + 0*u + 1/60*u**5 - 1/40*u**6 + 1/70*u**7 + 3*u**2 + 0 + 0*u**4 - 1/336*u**8. Factor y(t).
-t**2*(t - 1)**3
Suppose 3*w + 27 = 4*s, -6*w - 13 = -s - 4*w. Solve -3*r**2 + 3*r**2 + 2*r**2 - s*r - r + 2 = 0.
1
Let u = -23 + 25. Determine z so that 0*z**4 + 0*z**u + 0*z + 0*z**3 + 0 - 3/4*z**5 = 0.
0
Let r(v) = v + 7. Let p be 