 1/4*m**4 + 1/6*m**3 + 1/10*m**5 - 2. Let n(s) = 0. Calculate s.
0, 1
Let m be 2 - (2 + -62 + 4). Let n be m/15 - 12/(-90). Factor 5*j**3 + j**5 + 5/2*j**2 + 15/4*j**n + 0*j - 1/4.
(j + 1)**4*(4*j - 1)/4
Suppose -3 = n - 4. Let l be (n*-1)/(4/(-20)). Find r such that -5*r**3 + r**5 - 2*r**l + 3*r**3 + 3*r**3 = 0.
-1, 0, 1
Solve 16/13 - 2/13*a**3 - 4/13*a**2 + 8/13*a = 0.
-2, 2
Let s(d) = 14*d**2 - 6*d - 4. Let h(x) = -29*x**2 + 11*x + 8. Let g(a) = -2*h(a) - 5*s(a). Factor g(u).
-4*(u - 1)*(3*u + 1)
Suppose 2*k + 3*w = 0, 4*w + 2 - 3 = -3*k. Let -2*l**2 + l**2 + 3*l**4 + l**3 + l**5 + l - 2*l**2 - k*l = 0. Calculate l.
-2, -1, 0, 1
Let s(m) = -27*m**2 - 8*m + 8. Let h(z) = -7*z**2 - 2*z + 2. Let q(l) = 22*h(l) - 6*s(l). Factor q(n).
4*(n + 1)*(2*n - 1)
Let d(y) be the third derivative of y**6/40 - y**5/10 - y**4/8 + y**3 + 12*y**2. Factor d(b).
3*(b - 2)*(b - 1)*(b + 1)
Let j(o) = 16*o**2 + 2*o - 1. Let r be j(1). Suppose 7 = -5*s + r. Let -s*q**4 - 8*q + 8*q = 0. What is q?
0
Let y(o) be the second derivative of o**6/10 + 3*o**5/20 - o**4/4 - o**3/2 - 7*o. Factor y(x).
3*x*(x - 1)*(x + 1)**2
Let y = 3 + 1. Suppose 4*z + 6 = -m - 4*m, -z - y = 0. Factor -7*l**3 + m*l**3 + 2*l**3 - l + 3*l**2 + l**4.
l*(l - 1)**3
Let u(b) be the first derivative of -2*b + 5/2*b**2 - b**3 + 1/5*b**5 + 3 - 1/4*b**4. Factor u(v).
(v - 1)**3*(v + 2)
Suppose 0 = -22*y + 9*y + 52. Factor 3/2*n + 3/2*n**y - n**2 - n**3 - 1/2*n**5 - 1/2.
-(n - 1)**4*(n + 1)/2
Suppose -72 = -3*x + n, -x + 16 = 2*n - 5*n. Suppose 7*r - 5*i - x = 3*r, 0 = -5*r + 2*i + 10. Factor r*c**2 + 0 + 0*c - 2/3*c**3.
-2*c**3/3
Let i(a) = a**2 - 4*a + 7. Let d be i(2). Let k(g) be the first derivative of 2 + d*g**2 - 4*g - 2/3*g**3. What is l in k(l) = 0?
1, 2
Let p = 13 - 9. Let -5*z**3 + 0 - 2*z**4 + 0 - z**5 + p*z**3 = 0. Calculate z.
-1, 0
Let j(w) = w**3 + 3*w**2 - 4*w + 2. Let o(f) = 4*f**3 + 9*f**2 - 13*f + 7. Let z(i) = 14*j(i) - 4*o(i). Factor z(k).
-2*k*(k - 2)*(k - 1)
Let f(x) = -4*x**2 + 1. Let v(z) = 3*z**2 - 2 + 7*z**2 - z - 2*z**2. Let r(g) = 5*f(g) + 3*v(g). Let r(j) = 0. What is j?
-1/4, 1
Suppose 2*v = 3*g - g + 10, 5*v - 16 = -4*g. Determine s so that -2*s - v*s - 51*s**4 - 63*s**3 + 5 - 15*s**5 - 33*s**2 - 5 = 0.
-1, -2/5, 0
Suppose -5*d + 8*d**2 + d - 1 - 8 - 3 = 0. What is d?
-1, 3/2
Let g(k) be the second derivative of -k**4/12 - 2*k**3 + 13*k**2/2 + 42*k. Factor g(f).
-(f - 1)*(f + 13)
Let m = 21977/51 - 431. Let t = m - -373/204. Suppose 3/2*w**2 - 3/4*w**5 + t*w - 2*w**4 - w**3 + 1/2 = 0. What is w?
-1, -2/3, 1
Factor 0*j + 8/5 - 2/5*j**2.
-2*(j - 2)*(j + 2)/5
Let w be 507/156 + 1 + -3. What is l in -w*l**3 + 0*l + 7/4*l**4 - 1/2*l**2 + 0 = 0?
-2/7, 0, 1
Factor -20*d - 8*d**2 - 22*d**4 - 12*d**2 + 5*d**3 + 0*d**2 + 27*d**4.
5*d*(d - 2)*(d + 1)*(d + 2)
Let q(s) = -s**3 + 8*s**2 - 4*s + 2. Let w(b) = b**3 - b**2 - b. Let z(k) = -q(k) - 5*w(k). Factor z(c).
-(c - 1)*(c + 2)*(4*c - 1)
Determine d so that 2*d**2 - 2*d**4 - 10*d**3 + 8*d**3 + 0*d**3 + 2*d = 0.
-1, 0, 1
Let o(g) be the second derivative of -7*g**6/50 - 27*g**5/100 + g**4/4 + 9*g**3/10 + 3*g**2/5 + g. What is u in o(u) = 0?
-1, -2/7, 1
Let o(r) = 5*r - 4. Let g(y) = -14*y + 12. Let h(s) = 4*g(s) + 11*o(s). Let x be h(4). Factor x - 4/5*p**2 - 2/5*p.
-2*p*(2*p + 1)/5
Let s(a) = 6*a**4 - 29*a**3 + 25*a**2 - 7*a - 5. Let t(j) = -3*j**4 + 14*j**3 - 13*j**2 + 4*j + 2. Let c(g) = -2*s(g) - 5*t(g). Let c(n) = 0. Calculate n.
0, 1, 2
Let s(p) be the first derivative of 2*p**3/33 - 2*p**2/11 - 6. Determine l, given that s(l) = 0.
0, 2
Let p(y) be the second derivative of 0*y**6 + 0*y**2 + 1/9*y**4 + 0*y**3 - 1/10*y**5 + 1/63*y**7 + 0 + y. Find j such that p(j) = 0.
-2, 0, 1
Let u(d) be the first derivative of 3*d**4/4 - 2*d**3 + 6. Determine h, given that u(h) = 0.
0, 2
Let s(b) be the first derivative of -3*b**4/2 + 9*b**3/2 + 15*b**2/2 - 9*b/2 + 4. Let s(y) = 0. What is y?
-1, 1/4, 3
Let b(y) = 3*y**4 + 18*y**3 + 48*y**2 + 18*y - 3. Let v = 6 + -7. Let k(i) = i**2 - i - 1. Let l(p) = v*b(p) + 12*k(p). Factor l(t).
-3*(t + 1)**3*(t + 3)
Let z(d) be the first derivative of -d**6/12 - d**5/10 - 6. Factor z(w).
-w**4*(w + 1)/2
Let u(j) be the second derivative of 3/4*j**2 + 0 - 3/80*j**5 + 3/8*j**3 - 5*j + 0*j**4. Suppose u(y) = 0. What is y?
-1, 2
Let j(b) be the first derivative of 4/15*b**3 - 1 - 4/5*b - 1/10*b**4 + 1/5*b**2. Find c such that j(c) = 0.
-1, 1, 2
Let s(u) = 19*u**2 - 9*u. Let m(q) = -12*q**2 + 6*q. Let d(a) = 8*m(a) + 5*s(a). Factor d(x).
-x*(x - 3)
Let l(v) be the third derivative of -v**7/525 - 3*v**6/100 - v**5/10 - 7*v**4/60 - 7*v**2. Factor l(z).
-2*z*(z + 1)**2*(z + 7)/5
Let i(c) be the first derivative of c**3/21 + c**2/2 + 6*c/7 + 17. Factor i(t).
(t + 1)*(t + 6)/7
Factor 0 + 1/6*u**5 - 1/2*u**3 + 5/6*u**2 - 1/3*u - 1/6*u**4.
u*(u - 1)**3*(u + 2)/6
Let z(b) = -b. Let v(l) = 5*l**3 - 5*l - 10. Let j(w) = -v(w) - 10*z(w). Let j(p) = 0. Calculate p.
-1, 2
Let w = 737 - 735. Determine i so that -2/3*i**3 - 4/3*i**w + 0 - 2/3*i = 0.
-1, 0
Let r(m) be the first derivative of m**4/32 - m**2/16 + 16. Let r(f) = 0. Calculate f.
-1, 0, 1
Let k(l) be the first derivative of 3 - 1/2*l**2 - 1/36*l**3 + 0*l - 1/360*l**5 - 1/72*l**4. Let h(t) be the second derivative of k(t). What is s in h(s) = 0?
-1
Let w(h) = -2*h**5 - 8*h**3 - 4*h**2 + 6*h - 4. Let l(x) = 5*x**5 + 23*x**3 + 11*x**2 - 17*x + 11. Let p(i) = 4*l(i) + 11*w(i). Solve p(b) = 0 for b.
-1, 0, 1
Let i(l) = l**2 - 16*l - 17. Let d(b) = 4*b**2 - 48*b - 52. Let n(u) = -5*d(u) + 16*i(u). Factor n(a).
-4*(a + 1)*(a + 3)
Suppose -3*t + 4*i + 16 = -t, 2*t - 14 = 2*i. Solve -q - 21*q**3 + t*q + q**2 - 3*q = 0 for q.
-2/7, 0, 1/3
Let b = 949 - 1895/2. Factor -b*i**3 - i**2 + 1/2*i**5 + 0*i**4 + 0 + 0*i.
i**2*(i - 2)*(i + 1)**2/2
Let p(s) = -s**2 - 5*s - 2. Let w be p(-3). Let q(u) be the first derivative of 0*u + 0*u**2 + u**5 - 3 + 1/2*u**w + 0*u**3. Factor q(j).
j**3*(5*j + 2)
Let h(m) = m**4 - m**3 - 1. Let s(u) = 5*u**4 + 3*u**3 + 2*u**2 - 6*u - 7. Let y(b) = 6*h(b) - 2*s(b). Factor y(t).
-4*(t - 1)*(t + 1)**2*(t + 2)
Let q(p) be the first derivative of 4*p**5/5 + 5*p**4/4 + p**3/3 + 1. Factor q(z).
z**2*(z + 1)*(4*z + 1)
Let o(i) be the second derivative of i**7/21 + 4*i**6/15 + 3*i**5/5 + 2*i**4/3 + i**3/3 + 4*i. Solve o(k) = 0 for k.
-1, 0
Suppose -1/4*j - 1/4*j**2 + 1/2 = 0. What is j?
-2, 1
Let r(w) be the second derivative of 0 + 0*w**2 + 0*w**3 - 1/6*w**4 - 4*w. Factor r(a).
-2*a**2
Let r(z) be the first derivative of z**3/9 - z**2/9 + 8. Factor r(i).
i*(3*i - 2)/9
Let n(w) = w**4 + 3*w**3 - 5*w**2 - 3*w + 4. Let g(a) = -4*a**3 + 4*a**2 + 4*a - 4. Let c(t) = -3*g(t) - 2*n(t). Factor c(u).
-2*(u - 2)*(u - 1)**2*(u + 1)
Let t be 1/((-1)/(-39)*3). Suppose -2 = -5*r + t. What is n in -n - n**r + 4*n**5 + n - 3*n**4 - 4*n**3 + n + 3*n**2 = 0?
-1, -1/4, 0, 1
Let t(d) be the third derivative of -d**5/210 + d**4/28 - 2*d**3/21 - 10*d**2. Find s, given that t(s) = 0.
1, 2
Suppose 791*u = 790*u + 2. Determine m so that 0 + 9/5*m**4 + 3/5*m**5 + 3/5*m**3 - 6/5*m - 9/5*m**u = 0.
-2, -1, 0, 1
Determine f, given that -4*f**4 + 10*f - 10*f**3 - f**4 + 0 + 5 = 0.
-1, 1
Let p(v) be the first derivative of v**4/4 + 4*v**3/3 + 2*v**2 + 2*v + 8. Let u be p(-2). Factor -q**u + 0 + 1/3*q - 4/3*q**3.
-q*(q + 1)*(4*q - 1)/3
Let q(d) be the third derivative of -d**5/20 - 3*d**4/4 - 9*d**3/2 + 18*d**2. Factor q(c).
-3*(c + 3)**2
Let j(v) = 6*v**2 + 9*v + 141. Let m(a) = a**2 + 2*a + 28. Let b(h) = 4*j(h) - 21*m(h). Find t, given that b(t) = 0.
-2, 4
Let s be (4/8)/(8/34). Let w = s + -7/8. Solve w*y - 3/4*y**2 - 1/2 = 0.
2/3, 1
Let w = 94 + -90. Let u(f) be the second derivative of 3*f + 1/6*f**w + 1/3*f**3 - 2*f**2 + 0. What is r in u(r) = 0?
-2, 1
Let q(p) = 6*p**5 + 22*p**4 + 10*p**3 - 12*p**2 + 4*p. Let b(n) = -2*n**5 - 7*n**4 - 3*n**3 + 4*n**2 - n. Let d(h) = 20*b(h) + 6*q(h). Factor d(x).
-4*x*(x - 1)*(x + 1)**3
Let y(l) be the third derivative of 1/66*l**4 + 0 - 1/33*l**3 - 1/330*l**5 + 0*l - 3*l**2. Factor y(d).
-2*(d - 1)**2/11
Let 1/9*g**3 - 2/9 + 2/9*g**2 - 1/9*g = 0. What is g?
-2, -1, 1
Let s(v) be the second derivative of 6*v**5/5 + 11*v**4/6 - v**3/2 - v**2/2 + 12*v. Factor s(m).
(m + 1)*(4*m - 1)*(6*m + 1)
Suppose -14 + 2 = -4*f. Factor -2*k**2 + 0*k**2 - 