 2*s**y + 4*s**2 + 8 - s**3.
-(s - 2)**3
Let b(t) = 2*t. Let z be b(1). Factor 3*c + 4 + 4 + 0 - 6 - 2*c**z.
-(c - 2)*(2*c + 1)
Let w(y) be the second derivative of -y**4/20 - 2*y**3/5 - 9*y**2/10 + 6*y. Find h such that w(h) = 0.
-3, -1
Let s = 4 - 0. Suppose 12 = s*g + 4*z, 5*g - 4*z - 19 = -5*z. What is x in 0 - 2/13*x**g + 6/13*x**3 - 6/13*x**2 + 2/13*x = 0?
0, 1
Let a(i) be the first derivative of -i**9/4536 + i**8/1260 - i**6/270 + i**5/180 - 4*i**3/3 + 1. Let d(l) be the third derivative of a(l). Solve d(h) = 0 for h.
-1, 0, 1
Determine c so that -2 + 16/3*c - 4*c**2 + 0*c**3 + 2/3*c**4 = 0.
-3, 1
Let x(g) be the second derivative of -2*g**6/45 + 4*g**5/15 - 4*g**4/9 - 20*g. Factor x(m).
-4*m**2*(m - 2)**2/3
Let p be ((-2)/12)/(5/(-20)). Factor -4/3*d - p - 2/3*d**2.
-2*(d + 1)**2/3
Let g(o) be the third derivative of o**7/2520 - o**6/360 + o**5/120 - o**4/8 + 2*o**2. Let x(j) be the second derivative of g(j). Factor x(z).
(z - 1)**2
Let w(p) = 5*p**5 - 5*p**3 + 3*p - 3. Let z(c) = 60*c**5 - 60*c**3 + 35*c - 35. Let u(k) = 35*w(k) - 3*z(k). Suppose u(t) = 0. Calculate t.
-1, 0, 1
Let d be (-2886)/(-1908) + (-6)/4. Let i = 167/636 - d. Solve i*q + 0 + 1/4*q**2 = 0.
-1, 0
Let c(h) = -h**3 + 5*h**2 - 4*h + 4. Let r be c(4). Suppose -2*w**r - 4*w**4 + 2*w**2 + 2*w**3 + 0*w**4 + 4*w**4 - 2*w**5 = 0. What is w?
-1, 0, 1
Let d(t) be the third derivative of -t**7/30 + 19*t**6/120 + t**5/10 - 7*t**4/6 - 4*t**3/3 + t**2. Factor d(j).
-(j - 2)**2*(j + 1)*(7*j + 2)
Let s(n) be the first derivative of -n**6/30 - 7*n**5/25 - 9*n**4/20 + 9*n**3/5 + 27*n**2/5 + 54. Factor s(u).
-u*(u - 2)*(u + 3)**3/5
Let -8 + 33*v**4 - 11*v**4 + 24*v + 4*v**3 + 4 - 7*v**4 - 39*v**2 = 0. What is v?
-2, 1/3, 2/5, 1
Let k(t) be the second derivative of -t**5/80 + t**4/48 + t**3/24 - t**2/8 + 6*t. Factor k(g).
-(g - 1)**2*(g + 1)/4
Let y(b) be the third derivative of 0 + 0*b**3 + 0*b - 1/30*b**5 + 6*b**2 + 1/105*b**7 + 1/12*b**4 - 1/60*b**6. Find m such that y(m) = 0.
-1, 0, 1
Let j be (-4 - -3) + (3 - 0). Suppose 4*o = j*r - r - 14, 4*o = -12. Factor 0*n**3 - 2/9*n**4 + 0 + 0*n + 2/9*n**r.
-2*n**2*(n - 1)*(n + 1)/9
Let u(c) be the second derivative of -c**4/18 + c**3/9 - 7*c. Find y such that u(y) = 0.
0, 1
Suppose -5*g - 9 = -3*x, 0 = 5*x - 0*g - 2*g - 15. Solve 6 - z**5 - 2*z**3 + 2*z**2 + 0*z**5 - 5 + 3*z - x*z**4 = 0.
-1, 1
Let i(k) = -4*k**3 - 2*k**2 + 4*k. Let y(p) = 9*p**3 + 4*p**2 - 9*p + 1. Let a(r) = -5*i(r) - 2*y(r). Solve a(j) = 0.
-1, 1
Find w such that 12/11*w**3 + 18/11*w**2 + 8/11*w + 2/11*w**4 + 0 = 0.
-4, -1, 0
Let w(v) be the first derivative of -5*v**4/4 - 50*v**3 - 1125*v**2/2 + 50. What is r in w(r) = 0?
-15, 0
Let o(m) be the third derivative of -m**6/280 - m**5/70 + m**4/14 + 4*m**3/7 - 2*m**2. Suppose o(c) = 0. Calculate c.
-2, 2
Let c(b) be the first derivative of -b**6/480 + b**3/3 - 2. Let j(v) be the third derivative of c(v). Let j(l) = 0. What is l?
0
Let v(u) = -u**2 + 11*u - 8. Let x be v(9). Let f be (x/75)/(3/30). Determine y so that -2/3 - 2/3*y + 4/3*y**3 + f*y**2 - 2/3*y**4 - 2/3*y**5 = 0.
-1, 1
Let m = 41/96 - 3/32. What is w in 0 - m*w**2 - 1/3*w = 0?
-1, 0
Let j = 4801/20 + -240. Let o(y) be the third derivative of 3*y**2 + 0 + 0*y - j*y**5 - 1/2*y**3 - 1/4*y**4. Solve o(q) = 0.
-1
Let m be (-49)/(-45) + (-4)/20*1. Factor -2/9 + m*n**2 - 2/3*n.
2*(n - 1)*(4*n + 1)/9
Suppose 1 + 5 = 2*k. Let w be k/20 + (-7)/(-28). Let -2/5*c**3 + 0 + 0*c - w*c**2 = 0. What is c?
-1, 0
Let k(c) be the second derivative of 0*c**2 - 3*c - 1/50*c**5 + 0 - 1/15*c**4 - 1/15*c**3. Solve k(f) = 0.
-1, 0
Let g(k) be the second derivative of k**6/50 + 21*k**5/100 + 9*k**4/10 + 2*k**3 + 12*k**2/5 - 6*k. Factor g(m).
3*(m + 1)*(m + 2)**3/5
Let t be 12*(-2 - -1)*1. Let o(j) = j**3 - 8*j**2 + 5*j - 5. Let s(v) = -2*v**3 + 20*v**2 - 12*v + 12. Let f(z) = t*o(z) - 5*s(z). Solve f(h) = 0.
-2, 0
Let h(a) be the first derivative of 5*a**6/2 - 8*a**5 + 15*a**4/2 - 5*a**2/2 + 40. Let h(i) = 0. Calculate i.
-1/3, 0, 1
Let i(z) be the second derivative of -z**4/3 + 2*z**3/3 + 2*z. Factor i(n).
-4*n*(n - 1)
Let c(u) = -u**4 + u**3 - u**2 + u. Let b(d) = -6*d**4 + 2*d**3 - d**2 + 3*d. Let i(g) = -b(g) + 3*c(g). Factor i(q).
q**2*(q + 1)*(3*q - 2)
Let p = -36 + 10. Let w(l) = -17*l**2 + 3*l - 29. Let m(b) = 4*b**2 - b + 7. Let z(f) = p*m(f) - 6*w(f). Factor z(a).
-2*(a - 2)**2
Let m = 8 + -6. Suppose -3*g**m + 0*g**2 - 2*g**3 + 7*g**2 - 2*g**2 = 0. Calculate g.
0, 1
Factor -21*f + 0 + 0 + 3*f**3 - 1 - 17.
3*(f - 3)*(f + 1)*(f + 2)
Let h = 338 + -2364/7. Factor 0 + 8/7*z**4 + 0*z - h*z**2 + 6/7*z**3.
2*z**2*(z + 1)*(4*z - 1)/7
Let u = -5 + 2. Let n = 14 + u. Let q(c) = -3*c**3 + 5*c**2 - 5*c - 5. Let z(w) = 8*w**3 - 14*w**2 + 14*w + 14. Let t(l) = n*q(l) + 4*z(l). Solve t(i) = 0.
-1, 1
Suppose -6*a + 15*a + 9*a**2 + 4*a**2 - 16*a**2 = 0. What is a?
0, 3
Let g(y) be the first derivative of y**4/12 + y**3/3 + y**2/2 + y/3 + 5. Factor g(h).
(h + 1)**3/3
Let a(l) = l + 1. Let s(f) = -5*f**2 - 45*f - 120. Let c(d) = -5*a(d) + s(d). Factor c(r).
-5*(r + 5)**2
Suppose -4 = -q - 5*b, -2*q + 5*b + 15 = 67. Let x = -14 - q. Let -4/3 - 2/3*n**x + 2*n = 0. Calculate n.
1, 2
Let o = 6 - 3. Let t be 12*o*2/27. Factor t*c + 0 + 98/3*c**3 + 56/3*c**2.
2*c*(7*c + 2)**2/3
Let t(p) = -5*p**3 + p**2 - 1. Let d be t(-1). Determine v so that v**4 - v**d - 3*v**4 + 2*v**2 + 2*v - v = 0.
-1, 0, 1
Let z = 6008671/99 - 60693. Let u = z - -2/99. Let b**5 + u*b**2 - 1/3*b**3 + 0 + 0*b - 4/3*b**4 = 0. Calculate b.
-2/3, 0, 1
Let w(h) be the second derivative of 1/240*h**6 + 1/96*h**4 - 3*h - 1/80*h**5 + 0 + 0*h**3 + 3/2*h**2. Let m(l) be the first derivative of w(l). Solve m(j) = 0.
0, 1/2, 1
Let f be (3 - (5 + -4)) + 15. Let o(r) be the first derivative of 12*r + 9/2*r**6 - 24*r**2 + f*r**3 + 21/4*r**4 - 63/5*r**5 - 3. Let o(k) = 0. What is k?
-1, 2/3, 1
Suppose 2*y = 4*y - 20. Factor -y + w + 14*w**2 + 16*w**3 + w + 10 - 32*w**4.
-2*w*(w - 1)*(4*w + 1)**2
Suppose 0 = 4*p - 3*g - g + 12, -12 = -2*p - 4*g. Let y(r) be the second derivative of 0*r**3 + 1/12*r**4 + 0 + p*r**2 - r. Find x such that y(x) = 0.
0
Let j(x) be the second derivative of 2*x**6/15 + 7*x**5/10 + 3*x**4/2 + 5*x**3/3 + x**2 + 10*x. Factor j(p).
2*(p + 1)**3*(2*p + 1)
Let p be 2*((-15)/2)/(-5). Let p*q + 0*q**2 + 5*q**3 + 0 + 1 - 4*q**3 + 3*q**2 = 0. Calculate q.
-1
Let n(q) be the second derivative of 0*q**3 + 0 + 1/36*q**4 - 1/2*q**2 + 2*q - 1/90*q**5. Let w(p) be the first derivative of n(p). Find a such that w(a) = 0.
0, 1
Factor 0 + 0*m**2 + 2/13*m**4 + 0*m - 4/13*m**3.
2*m**3*(m - 2)/13
Let s(t) be the third derivative of -t**8/112 + t**7/35 - t**5/10 + t**4/8 - 8*t**2. Factor s(v).
-3*v*(v - 1)**3*(v + 1)
Let a(p) = -p. Let x be a(-8). Let u(z) = z**2 - 5*z - 18. Let f be u(x). Let 4/5 + 22/5*n + f*n**2 = 0. What is n?
-2/5, -1/3
Suppose -3 - 5 = -4*r. Let c(i) = 2*i - r*i**2 - 6*i + 3 - 3*i + 3*i. Let n(w) = w**2 + w - 1. Let z(o) = c(o) + 3*n(o). Factor z(s).
s*(s - 1)
Let n(w) be the second derivative of -1/24*w**3 - 3*w - 1/48*w**4 + 1/80*w**5 + 0 + 1/8*w**2. Solve n(z) = 0 for z.
-1, 1
Let m(x) = 2*x**5 + 2*x**4 - 7*x**3 - 7*x**2. Let u(r) = r**3 + r**2. Let o(f) = 2*m(f) + 10*u(f). Factor o(s).
4*s**2*(s - 1)*(s + 1)**2
Let g(m) be the first derivative of m**3/3 + m**2 + m - 8. What is r in g(r) = 0?
-1
Let l(x) be the second derivative of 1/45*x**6 + 1/20*x**5 + 1/36*x**4 + 0*x**2 + 0 + 0*x**3 - x. Factor l(g).
g**2*(g + 1)*(2*g + 1)/3
Factor 4*s**3 + 27*s**3 + 18*s**2 - 27 - 5*s**3 + s**5 - 27*s + 9*s**4.
(s - 1)*(s + 1)*(s + 3)**3
Let b(l) be the first derivative of -10*l**3/3 - 15*l**2/2 - 5*l + 16. Factor b(r).
-5*(r + 1)*(2*r + 1)
Let y be 94/35 + (-50)/175. Factor 2/5*g**2 - y*g + 18/5.
2*(g - 3)**2/5
Let s(q) = -24*q**2 - 33*q - 9. Let w(x) = -24*x**2 - 34*x - 10. Let p(v) = -6*s(v) + 5*w(v). Factor p(d).
4*(d + 1)*(6*d + 1)
Let b = -484 + 484. Determine l so that 0 + 0*l - 1/4*l**3 + 1/4*l**4 + b*l**2 = 0.
0, 1
Let m be (1 + 1)/(2/(-3)). Let d be 2/((-15)/m + 2). Factor 0*z**2 - 2/7*z + 0 + d*z**3.
2*z*(z - 1)*(z + 1)/7
Let o(n) be the first derivative of 1/12*n**4 + 1 - 1/90*n**5 + n**2 - 2/9*n**3 + 0*n. Let a(d) be the second derivative of o(d). Let a(l) = 0. Calculate l.
1, 2
Let t(i) be the first derivat