 4/5*k**a.
-2*(k - 1)**2*(k + 1)**2/5
What is f in 4/5 - 3/5*f**2 - 4/5*f = 0?
-2, 2/3
Let -8/3*h - 2/3*h**2 + 8 = 0. What is h?
-6, 2
Factor 4/9 + 10/9*z + 2/3*z**2.
2*(z + 1)*(3*z + 2)/9
Let u(k) = -3*k**2 - k - 4. Let s(f) be the third derivative of -f**4/24 - f**3/6 - 11*f**2. Let d(t) = -4*s(t) + u(t). Solve d(p) = 0 for p.
0, 1
Let j(o) be the third derivative of -o**5/180 + o**4/4 - 40*o**3/9 + 128*o**2. Factor j(c).
-(c - 10)*(c - 8)/3
Let -10/7*n**4 - 32/7*n + 8/7 + 4/7*n**3 + 30/7*n**2 = 0. Calculate n.
-2, 2/5, 1
Let f(o) be the third derivative of -o**8/160 - o**7/84 - o**6/180 + o**3/2 - 17*o**2. Let c(b) be the first derivative of f(b). Factor c(t).
-t**2*(3*t + 2)*(7*t + 2)/2
Suppose s - 70 = 2*s. Let i = 281/4 + s. Determine a, given that 0*a - 1/2*a**3 - 1/4*a**2 + 0 - i*a**4 = 0.
-1, 0
Let j(v) be the third derivative of -v**5/20 - v**4 + 9*v**3/2 - v**2 - 48. Factor j(d).
-3*(d - 1)*(d + 9)
Let z = -41 - -43. Solve 3 - 6*s**2 - 2*s**4 - 5*s + 0*s**z - 5*s + 5 + 10*s**3 = 0.
-1, 1, 4
Let m(w) = -w - 1. Let c(q) = 15*q**2 + 12*q - 3. Let i(s) = 3*s - 3*s - 15*s**2 - 11*s + 4. Let d(b) = 3*c(b) + 4*i(b). Let o(g) = d(g) + m(g). Factor o(u).
-3*(u + 1)*(5*u - 2)
Let l(x) be the first derivative of x**3/3 + 3*x**2 + 5*x - 43. Factor l(m).
(m + 1)*(m + 5)
Let a be ((-16)/18)/((4 - 29)/150). Determine g, given that a*g**2 + 4/3 + 4/3*g**3 - 2/3*g**5 - 4/3*g**4 + 14/3*g = 0.
-1, 2
Let f be (15/10)/((-9)/(-210)). Suppose -4*s + f = 23. Suppose 2 - 12*i**s + 3*i**5 + 6*i**2 - 8 + 7*i + 2*i = 0. Calculate i.
-2, -1, 1
Let m(w) = -3*w**3 - 3*w**2 - 3*w - 1. Let q be m(-1). Suppose -q*v = -2*v - 3*v. Solve -1/2*c**2 + 7/4*c**3 + v*c + 0 = 0 for c.
0, 2/7
Let t be (-15)/18*(-5 - -1). Suppose -29*g + 75 = 17. Suppose 14/9*i - 2/9 + g*i**3 - t*i**2 = 0. What is i?
1/3, 1
Let s(f) be the second derivative of -13*f**6/10 + f**5/10 + 39*f**4/4 - 14*f**3 + 2*f**2 + 4*f - 25. Find j, given that s(j) = 0.
-2, 2/39, 1
Let q(p) be the third derivative of -p**7/945 + 4*p**6/135 + p**5/5 + 14*p**4/27 + 19*p**3/27 + 281*p**2. Suppose q(f) = 0. Calculate f.
-1, 19
Solve -5/2*y**2 + 5/4*y**4 + 0*y + 5/4*y**3 + 0 = 0 for y.
-2, 0, 1
Let z be (-144)/(-12) + 35/(-5). Let b(q) be the first derivative of 0*q**4 + 0*q**2 + 1/7*q**3 + 0*q - 3/35*q**z - 1. Factor b(p).
-3*p**2*(p - 1)*(p + 1)/7
Let j(w) be the second derivative of w**8/1680 + w**7/105 - w**6/180 - w**5/5 - 37*w**4/12 + 33*w. Let l(a) be the third derivative of j(a). Solve l(h) = 0.
-6, -1, 1
Let o(x) be the second derivative of -x**4/9 + 5*x**3/18 + 63*x - 1. Factor o(t).
-t*(4*t - 5)/3
Let r(v) = 33*v**2 - 72*v + 75. Let t(s) = -18*s**2 + 36*s - 38. Let j(q) = 5*r(q) + 9*t(q). Factor j(m).
3*(m - 11)*(m - 1)
Factor 6*i + 10*i - 2351*i**2 + 3*i**3 + 17*i**3 + 2415*i**2 - 28*i**4.
-4*i*(i - 2)*(i + 1)*(7*i + 2)
Suppose 2*s + 5*o = -5, o + 4 - 3 = -2*s. Suppose 6*t - 8*t - 6 = -2*r, s = -5*r - 5*t + 15. Factor -1/4*i + 0 + 1/4*i**r + 0*i**2.
i*(i - 1)*(i + 1)/4
Suppose -3*a + 5*v + 17 = 51, 2*a - v + 4 = 0. Factor 8/7 + 2/7*l - 1/7*l**a.
-(l - 4)*(l + 2)/7
Let g(w) = -w**3 + 15*w**2 - 15*w + 14. Let y be g(14). Let x be 108/(-24)*10/(-6). Let y + 12*h**2 - x*h**3 + 6*h = 0. Calculate h.
-2/5, 0, 2
Let u = 982 - 978. Let d(r) be the first derivative of -1/4*r**3 + 1/20*r**5 - 1/8*r**2 + 1/2*r - 4 + 1/16*r**u. Suppose d(o) = 0. What is o?
-2, -1, 1
Let b(l) be the first derivative of l**4/6 - 2*l**3/3 + l**2 - 6*l - 7. Let m(x) be the first derivative of b(x). Determine y so that m(y) = 0.
1
What is n in 30 + 236*n + 30*n**2 - 158*n - 133*n - 5*n**3 = 0?
1, 2, 3
Suppose -103/11*u**2 + 249/11*u**3 - 120/11*u**4 + 12/11*u + 16/11*u**5 + 0 = 0. What is u?
0, 1/4, 3, 4
Suppose -d = 30*d. Let f(v) be the second derivative of 1/20*v**4 + 0 + 0*v**2 + d*v**3 + 3/100*v**5 - 6*v. Factor f(s).
3*s**2*(s + 1)/5
Let w(q) be the second derivative of 3/16*q**4 - 3/80*q**5 + 0*q**2 + 0 + 18*q - 1/4*q**3. What is s in w(s) = 0?
0, 1, 2
Let d(i) be the second derivative of i**4/48 - i**3/4 + 5*i**2/8 - 633*i. Let d(g) = 0. What is g?
1, 5
Let c be (1 + 120/(-125))*95/4. Let g = -1/5 + c. Factor g*l**4 + 0*l + 3/4*l**3 - 3/4*l**2 + 0 - 3/4*l**5.
-3*l**2*(l - 1)**2*(l + 1)/4
Let g(a) = -5*a**2 - 15*a - 8. Let y(j) = -5*j**2 - 15*j - 7. Let f(k) = -3*g(k) + 2*y(k). Find c, given that f(c) = 0.
-2, -1
Let 1/3*u**2 + 1/6*u**5 + 0 + 5/6*u**3 + 0*u + 2/3*u**4 = 0. What is u?
-2, -1, 0
Let t(y) be the third derivative of 0*y + 1/1785*y**7 + 0*y**4 + 0 + 3*y**2 - 1/255*y**5 + 0*y**6 + 1/51*y**3. Factor t(k).
2*(k - 1)**2*(k + 1)**2/17
Let u(l) = -2*l - 1. Let x(k) = 5*k**2 + 7*k - 54. Let w(r) = -4*u(r) + x(r). Factor w(z).
5*(z - 2)*(z + 5)
Let q(x) = 8*x**2 + 5*x - 5. Let i be q(-5). Suppose 0 = -5*v - 2*u + i, -3*u + 165 = v + 4*v. Factor -6 + 4*m**3 - 16*m**3 - 27*m - v*m**2 - 3*m**3.
-3*(m + 1)**2*(5*m + 2)
Let q be (18/585)/(9/15). Let m(i) be the second derivative of -q*i**3 - 3/13*i**2 + 0 + 1/78*i**4 - 2*i. Solve m(j) = 0.
-1, 3
Let u(d) be the first derivative of -3*d**5/5 + 9*d**4/4 + 2*d**3 - 18*d**2 + 24*d - 30. Determine x, given that u(x) = 0.
-2, 1, 2
Let x = -1643 + 11509/7. Factor 8/7 + 2/7*w**3 - 2/7*w**2 - x*w.
2*(w - 2)*(w - 1)*(w + 2)/7
Let u be (-1 - -4)*((-60)/(-9) + -6). Find o, given that 2/3*o**3 + 0*o**u + 4/3 - 2*o = 0.
-2, 1
Let b be (-9)/(4/18 - 94/180). Find g such that 3*g**2 - 2*g + b*g + 2*g + 27 = 0.
-9, -1
Factor -25*x**3 + 20*x + 288*x**2 - 40 + 5*x**4 - 525*x**2 + 267*x**2.
5*(x - 2)**3*(x + 1)
Let b(v) = 2*v**3 - 19*v**2 + 35*v. Let g(u) = -3*u**3 + 36*u**2 - 69*u. Let d(z) = -9*b(z) - 5*g(z). Find m such that d(m) = 0.
-5, 0, 2
Let c(j) be the second derivative of -j**7/630 - j**6/360 + j**5/90 - 7*j**2/2 + 3*j. Let p(l) be the first derivative of c(l). Suppose p(v) = 0. Calculate v.
-2, 0, 1
Let a = 28 + -22. Determine y so that 0*y**2 + 8*y**2 + 9*y - 10*y**2 - y**2 - a = 0.
1, 2
Let r(l) be the first derivative of 0*l**2 + 0*l**4 + 0*l + 1/60*l**5 + 1/3*l**3 - 1/180*l**6 + 6. Let y(n) be the third derivative of r(n). Factor y(o).
-2*o*(o - 1)
Let b = 1033 + -1031. Let h(d) be the first derivative of 5/12*d**3 - 9/20*d**5 - 1/12*d**6 + 3/2*d**b + d + 6 - 5/8*d**4. Let h(g) = 0. Calculate g.
-2, -1, -1/2, 1
Let t(s) = -s**2 + 33*s - 201. Let f(k) = k**2 - 32*k + 200. Let i be (-40)/12*42/(-35). Let q(p) = i*t(p) + 5*f(p). Find u, given that q(u) = 0.
14
Let w(r) be the first derivative of r**6/600 - r**5/100 - r**4/120 + r**3/10 - 23*r**2 - 7. Let h(y) be the second derivative of w(y). Factor h(b).
(b - 3)*(b - 1)*(b + 1)/5
Let b(v) be the first derivative of -v**4/22 - 14*v**3/33 - 15*v**2/11 - 18*v/11 - 40. Find j, given that b(j) = 0.
-3, -1
Suppose -4*s + a - 10 = 0, s - 1 = 3*a + 2. Let u be (s/30)/((-1)/2). Solve 0*q**2 + 0*q + 0 + 3/5*q**4 + u*q**5 + 2/5*q**3 = 0 for q.
-2, -1, 0
Suppose 0*m + 0 - 3/7*m**2 + 3/7*m**3 = 0. What is m?
0, 1
Suppose 0 = -8*q + 14 + 26. Let p be (0 - 19/q) + 4. Suppose 0*l + p*l**2 - 1/5 = 0. Calculate l.
-1, 1
Let w = -125 - -204. Find i such that -158*i + i**2 + 82*i + w*i = 0.
-3, 0
Let s be (-2)/(-7) + (-345)/105. Let n be s/9*24/(-4). Find l, given that -4*l + n*l**2 - 3*l**2 - l**2 = 0.
-2, 0
Suppose -4*j + 3*j = -16. Suppose 3*s = -4*i - 10, -s = 4*i + j - 2. Solve -s*h**2 + 53*h - 50*h + h**2 = 0.
0, 3
Let u be (0*1/3)/(-2). Suppose -545 + 587 = 21*k. Find w such that u + 3/2*w**4 + 2/3*w + 3/2*w**3 - 8/3*w**k = 0.
-2, 0, 1/3, 2/3
Suppose -2*y + 7*y = 0. Suppose -16*f**5 + 19*f**5 + y*f + 2*f + 11*f**2 + 19*f**3 + 13*f**4 = 0. What is f?
-2, -1, -1/3, 0
Let y(k) be the first derivative of 1/2*k**2 + 19 + 1/3*k**3 + 0*k. What is v in y(v) = 0?
-1, 0
Suppose -7/2*o**2 - 89/2*o + 13 = 0. Calculate o.
-13, 2/7
Let w(f) be the third derivative of 0*f + 0*f**3 - 1/18*f**4 + 1/315*f**7 - 1/90*f**5 + 8*f**2 + 1/90*f**6 + 0. Factor w(k).
2*k*(k - 1)*(k + 1)*(k + 2)/3
Let d = -2255 - -2258. Solve 0 - 2/3*b**2 - 4/3*b + 2/3*b**d = 0 for b.
-1, 0, 2
Let v = 371 + -1112/3. Let i(z) be the first derivative of 0*z + 7 - 1/5*z**5 + v*z**3 + 1/2*z**4 - z**2. Factor i(n).
-n*(n - 2)*(n - 1)*(n + 1)
Determine k, given that -2/5*k + 6/5*k**2 + 2/5*k**3 - 6/5 = 0.
-3, -1, 1
Let c(p) be the second derivative of 13*p + 0*p**4 + 0 - 1/60*p**5 + p**2 + 7/18*p