 -3*w + 1 + 1 = y, -y + 2 = w. Let j = 17 - 15. Determine p, given that -4*p**2 + 3*p**y - 14*p + 10*p - j - p**2 = 0.
-1
Let p be (-4)/14 + (-75)/(-140). Let x = 18 - 71/4. Factor 0*c + 0 - 1/2*c**3 + x*c**2 + p*c**4.
c**2*(c - 1)**2/4
Let l(n) = -n**3 - 8*n**2 + 8*n + 3. Let w be l(-9). Let m be (9/w)/((-5)/(-8)). Let -m*r + 3/5 + 3/5*r**2 = 0. What is r?
1
Let u(p) be the first derivative of -p**2 - 4*p**4 + 0*p + 1 - 8/5*p**5 - 10/3*p**3. What is t in u(t) = 0?
-1, -1/2, 0
Let b(u) = -4*u**3 - 4*u**2 - 6*u - 6. Let q(k) = k**3 + k**2 + k + 1. Let c(x) = -b(x) - 6*q(x). Suppose c(o) = 0. Calculate o.
-1, 0
Let p(c) be the third derivative of c**5/30 - c**4/6 - c**3 - 9*c**2. Factor p(s).
2*(s - 3)*(s + 1)
Suppose 8 = 3*p + 2. Let d be (69/21 - 1) + -2. Solve 0 + 0*h + d*h**p + 8/7*h**3 = 0 for h.
-1/4, 0
Factor -3*u**3 - 7*u**4 - 4*u**3 + 12*u**4 - 10*u**2 + 2*u**3.
5*u**2*(u - 2)*(u + 1)
Find q, given that -12/5 + 3/5*q + 3*q**2 = 0.
-1, 4/5
Let t(l) = 10*l**4 + 260*l**3 + 235*l**2 - 215*l - 360. Let d(x) = x**4 + 29*x**3 + 26*x**2 - 24*x - 40. Let v(g) = 35*d(g) - 4*t(g). Factor v(i).
-5*(i - 1)*(i + 2)**3
Factor -4/7*z**4 + 8/7*z**3 + 0*z + 0 - 4/7*z**2.
-4*z**2*(z - 1)**2/7
Let d = -91/30 + 16/5. Factor -d + 0*c + 1/6*c**2.
(c - 1)*(c + 1)/6
Suppose 3/7*q**3 + 3/7*q**2 - 3/7 - 3/7*q = 0. Calculate q.
-1, 1
Let j be -1 + (-15)/(-18) - (-11)/22. Factor 0*p - p**3 - j*p**2 + 0.
-p**2*(3*p + 1)/3
Suppose -2*q + 7*q + s - 7 = 0, -4*s - 14 = -q. Solve -3*x**3 + 2*x - x**4 - q*x**4 + 2*x**2 + x**4 + x**3 = 0.
-1, 0, 1
Let c(a) = 4*a**2 + a + 1. Let x be c(-1). Let -f**3 - x*f + 7*f**2 + 11*f**2 - 14*f**2 = 0. Calculate f.
0, 2
Let n(f) be the third derivative of 0*f**6 + 1/60*f**5 + 0*f**3 - 1/210*f**7 + 0*f - 2*f**2 + 0*f**4 + 0. Factor n(h).
-h**2*(h - 1)*(h + 1)
Let r(k) be the second derivative of k**5/170 + 3*k**4/34 + 5*k**3/17 - 25*k**2/17 + 29*k. Let r(q) = 0. What is q?
-5, 1
Factor 28*g + 21 + 4 - 12*g**2 - 41.
-4*(g - 1)*(3*g - 4)
Let y(a) be the third derivative of 0 + 0*a**3 - a**2 + 0*a**5 + 0*a - 1/40*a**6 + 1/8*a**4. Determine x so that y(x) = 0.
-1, 0, 1
Let 1/2*x**2 + 1/2*x + 0 = 0. What is x?
-1, 0
Let t be (-2)/(-8) - (-46)/8. Suppose 8 + 12*c + 4*c**3 - 2*c**3 + t*c**2 - c**3 = 0. Calculate c.
-2
Let m = 444 + -441. Factor -4/3*n**m + 1/3*n**5 - 1/3*n**4 + 0 + 0*n + 4/3*n**2.
n**2*(n - 2)*(n - 1)*(n + 2)/3
Let r(o) = 4*o**2 + 3*o + 11. Let l be r(-10). Let a = l - 1899/5. Suppose -8/5*q + 0*q**2 + a*q**3 + 0 - 2/5*q**4 = 0. Calculate q.
-1, 0, 2
Determine u, given that 0 + 0*u**2 + 0*u**4 - 1/5*u**3 + 1/10*u + 1/10*u**5 = 0.
-1, 0, 1
Let x(w) be the first derivative of -w**4/18 + 4*w**3/27 + w**2/3 + 21. What is a in x(a) = 0?
-1, 0, 3
Let g be (-7 + 445/70)*32/(-6). Determine q so that 2/7*q**3 - 24/7*q**2 - 10/7*q**5 + 0 + g*q**4 + 8/7*q = 0.
-1, 0, 2/5, 1, 2
Suppose x = 2*f - 4, 4 - 6 = 2*x - 2*f. Suppose -3*l**2 - l - 4*l**3 + 11*l**x - 8 + 8*l - 3*l = 0. Calculate l.
-1, 1, 2
Let f be -1*(-2 - 27/(-15)). Let k(l) be the second derivative of 1/10*l**4 - 1/50*l**5 + 0 + f*l**2 - 2*l - 1/5*l**3. Let k(h) = 0. What is h?
1
Factor 2/5*j**4 - 2/5*j**2 + 4/5*j - 4/5*j**3 + 0.
2*j*(j - 2)*(j - 1)*(j + 1)/5
Let m(d) be the first derivative of -d**6/900 - d**5/50 - 3*d**4/20 - d**3 + 2. Let q(r) be the third derivative of m(r). Suppose q(c) = 0. Calculate c.
-3
Let f = 57 + 5. Let w be f/72 - (-2)/8. Let 4/9 + w*k - 14/9*k**2 = 0. What is k?
-2/7, 1
Let z = 4481/11 - 407. Let o(p) be the second derivative of -4/33*p**3 - 1/66*p**4 - z*p**2 + 0 + 2*p. Suppose o(c) = 0. What is c?
-2
Let j(x) = -25*x**4 + 37*x**3 - 12*x**2 - x + 1. Let c(m) = m**4 - m**3. Let r(k) = 36*c(k) + 4*j(k). Find g, given that r(g) = 0.
-1/4, 1/2, 1
Let s = 1/7 - -3/28. Let t(z) be the second derivative of s*z**2 + 0 - 1/48*z**4 + 1/24*z**3 - 2*z. Factor t(v).
-(v - 2)*(v + 1)/4
Let k be 4/30 - 3/(-405)*12. Factor k*c**2 + 2/9*c**4 - 4/9*c**3 + 0 + 0*c.
2*c**2*(c - 1)**2/9
Suppose 10*k**2 - 22*k**2 + 7*k**2 + 10*k**2 - 2*k**3 - k**4 + 6*k = 0. What is k?
-3, -1, 0, 2
Let m(q) be the second derivative of -q**7/9 + 2*q**6/45 + 7*q**5/30 - q**4/9 - 7*q. Determine t, given that m(t) = 0.
-1, 0, 2/7, 1
Let d(v) be the third derivative of -1/12*v**4 + 4*v**2 + 0*v + 1/30*v**5 + 0*v**3 + 0. Let d(l) = 0. Calculate l.
0, 1
Let h(z) be the third derivative of 1/270*z**5 + 4/27*z**3 + 0 + 0*z - z**2 + 1/27*z**4. Factor h(p).
2*(p + 2)**2/9
Let o(y) = -2*y**3 - 6*y**2 + 18*y - 10. Let z(f) = 3*f**3 + 5*f**2 - 19*f + 11. Let j(n) = 5*o(n) + 4*z(n). Let j(q) = 0. What is q?
1, 3
Suppose -80 = -4*r - 4*k, -2*r + k + 43 = 3. Let y = r - 18. Factor 8*h + 8/3 - 14/3*h**y.
-2*(h - 2)*(7*h + 2)/3
Suppose -13*z - z = -42. Determine j so that 0*j**2 + 4/7*j**z + 0*j**4 + 0 - 2/7*j - 2/7*j**5 = 0.
-1, 0, 1
Let o(h) be the second derivative of 0 + 1/120*h**5 + 1/12*h**3 + h + 1/24*h**4 + h**2. Let c(t) be the first derivative of o(t). Factor c(u).
(u + 1)**2/2
Suppose -u - 6 = -4*u. Suppose 0 = 3*j - u - 4. Find m, given that 0*m - m**j - m**2 - m = 0.
-1/2, 0
Let f be (-168)/308 + 216/154. Factor -f - 2/7*t**2 + 8/7*t.
-2*(t - 3)*(t - 1)/7
Let x(s) = -114*s**3 - 75*s**2 - 4*s - 1. Let q be (-2)/4*2 - -4. Let j(b) = -2*b + b**3 + 0*b + q*b. Let l(u) = 22*j(u) - 2*x(u). Find a such that l(a) = 0.
-1/5
Let i(q) be the first derivative of 1/2*q**6 + 6 + 3/4*q**4 + 3*q**3 - 9/5*q**5 - 3*q**2 + 0*q. Suppose i(o) = 0. What is o?
-1, 0, 1, 2
Let n(s) be the second derivative of -1/8*s**2 - 1/48*s**4 + 0 - s + 1/12*s**3. Determine h, given that n(h) = 0.
1
Let b(z) be the third derivative of z**8/60480 - z**6/2160 - z**5/60 + 3*z**2. Let g(x) be the third derivative of b(x). Suppose g(m) = 0. Calculate m.
-1, 1
Suppose 0 = -3*w + 2*w + 4. Let r(d) be the first derivative of 2/9*d**3 - 1 - 1/3*d**6 + 0*d**2 - 5/6*d**w + 14/15*d**5 + 0*d. Solve r(m) = 0 for m.
0, 1/3, 1
Let t(n) be the first derivative of -n**3/3 + 3*n**2/2 - 2*n + 1. Suppose t(r) = 0. Calculate r.
1, 2
Let j(s) = s. Let q be j(1). Suppose 2 + q = x. Factor 2*i**x - 2*i**2 - i**5 + 3*i**4 - i**5 - i**4.
-2*i**2*(i - 1)**2*(i + 1)
Solve 32/5*c**3 + 18/5*c + 0 + 48/5*c**2 = 0 for c.
-3/4, 0
Let c be 3/(-1) + -2 + 2. Let z be 1/(c + 51/15). Solve 2 + 4*u + 1/2*u**3 + z*u**2 = 0 for u.
-2, -1
Let x(p) be the third derivative of -p**5/450 + p**4/60 - 28*p**2. Factor x(j).
-2*j*(j - 3)/15
Factor 4/7*u - 4/7*u**3 - 2/7*u**2 + 0 + 2/7*u**4.
2*u*(u - 2)*(u - 1)*(u + 1)/7
Let h(w) be the third derivative of -w**6/720 + w**4/48 + w**3/18 - w**2. Factor h(k).
-(k - 2)*(k + 1)**2/6
Let t(o) be the third derivative of -1/72*o**4 - 1/180*o**5 + 0*o**3 - o**2 + 0 + 0*o. Let t(i) = 0. What is i?
-1, 0
Let p(h) be the third derivative of 3*h**8/784 - 13*h**7/490 - h**6/40 + 13*h**5/28 - 3*h**4/14 - 18*h**3/7 - 13*h**2 - h. Find g such that p(g) = 0.
-2, -2/3, 1, 3
Let y**3 + 39*y**2 - 45*y - 30*y - 9*y**2 - 4*y**3 = 0. Calculate y.
0, 5
Let k(c) be the first derivative of c**7/2520 - c**6/540 + c**5/360 - c**3/3 + 7. Let v(z) be the third derivative of k(z). Suppose v(i) = 0. What is i?
0, 1
Let u(c) be the second derivative of -c**6/5 + 16*c**5/5 - 92*c**4/9 - 128*c**3/3 - 48*c**2 + 6*c. Solve u(y) = 0.
-2/3, 6
Let k(s) = 9*s**3 - 5*s**2. Let t(r) = -100*r**3 + 55*r**2. Let o(m) = 45*k(m) + 4*t(m). Find y, given that o(y) = 0.
0, 1
Let m(t) be the third derivative of -3*t**6/40 + t**5/3 - 13*t**4/24 + t**3/3 + 22*t**2. Let m(h) = 0. What is h?
2/9, 1
Let k = 2 - 2. Suppose -c + 1 + 2 = k. Determine q, given that 3*q**3 + 2*q**2 - q**3 + 0*q**c = 0.
-1, 0
Let h(d) = 13*d**4 + 17*d**3 - 13*d**2 - 17*d. Let l = 1 + 3. Let t(v) = -3*v**4 - 4*v**3 + 3*v**2 + 4*v. Let x(j) = l*h(j) + 18*t(j). Factor x(k).
-2*k*(k - 1)*(k + 1)*(k + 2)
Let g be -1*(-5)/(-4) - -2. What is x in 0 + 3/4*x**4 + 0*x + g*x**3 + 0*x**2 = 0?
-1, 0
Factor -6*f**2 + 15/2*f**3 - 3*f**4 + 3/2*f + 0.
-3*f*(f - 1)**2*(2*f - 1)/2
Let l(m) be the first derivative of 0*m**5 + 1/6*m**2 + 0*m**3 - 1/18*m**4 + 2 + 1/90*m**6 + 3*m. Let t(b) be the first derivative of l(b). Factor t(c).
(c - 1)**2*(c + 1)**2/3
Solve -4/7*q - 2/7*q**2 - 2/7 = 0.
-1
Suppose -m + 2 = 2*u + 3*m, 2*u + 2*m = 4. Let i(c) be the first derivative of -3*c**2 + 1/3*c**u + 4 + 9*c. Factor i(h).
(h - 3)**2