 0*s - 1/660*s**6 - s**2. Factor d(j).
-2*j**2*(j + 1)/11
Let b(c) = -2*c**2 - 8*c + 4. Let n(x) = 2*x**2 + 2*x. Let f be n(-2). Let s(q) = q - 1. Let v(k) = f*s(k) + b(k). What is y in v(y) = 0?
-2, 0
Let a(l) = -l + 1. Let f(w) = 6*w**2 - 19*w - 3. Suppose 9 = -5*n + 4. Let m(i) = n*f(i) + 3*a(i). Factor m(y).
-2*(y - 3)*(3*y + 1)
Let o(t) be the third derivative of t**5/75 + t**4/15 - 31*t**2 + 1. Factor o(h).
4*h*(h + 2)/5
Let i(w) be the second derivative of w**4/4 + 3*w**3/2 + 3*w**2 + 118*w. Determine u so that i(u) = 0.
-2, -1
Suppose -6*h + 7*h = -2*p + 11, -5*p + 20 = 0. Let o(r) be the first derivative of -2*r - 3*r**2 - 1/2*r**4 - 2*r**h - 1. Factor o(v).
-2*(v + 1)**3
Suppose x + 43 = 2*s + 2*x, 4*s = -x + 91. Suppose 0*n + s = y - 3*n, -40 = -2*y + 4*n. Factor q**4 - 16*q**3 + 3*q**4 + y*q**2 + 4*q**2.
4*q**2*(q - 2)**2
Let h(m) = 2*m**2 + 5*m + 11. Let d = 29 - 24. Suppose 0 = -6*i + i - d. Let t(v) = v - 1. Let j(s) = i*h(s) - 3*t(s). Determine p, given that j(p) = 0.
-2
Let o(i) be the first derivative of i**4/96 + i**3/24 - 3*i - 1. Let j(k) be the first derivative of o(k). Factor j(s).
s*(s + 2)/8
Let d(x) be the second derivative of 0*x**5 + 0*x**6 + 7*x + 0*x**2 + 1/336*x**7 + 0 + 0*x**4 + 0*x**3. Factor d(s).
s**5/8
Solve -9*i**4 - 459/2*i**2 + 180*i - 24 + 165/2*i**3 = 0 for i.
1/6, 1, 4
Factor -5 - 57*y**3 - 33*y + 282*y**2 + 0*y**4 - 4*y**4 - 84*y**2 - 11 - 88*y**2.
-(y - 1)**2*(y + 16)*(4*y + 1)
Let x be -7 - (-42)/(-1 + 7). Let z(d) be the third derivative of 0*d - 1/450*d**5 + x + 0*d**3 + 1/180*d**4 - d**2. Factor z(s).
-2*s*(s - 1)/15
Let m(i) be the first derivative of -i**6/6 - i**5/5 - 252. Factor m(q).
-q**4*(q + 1)
Let s be (355/1633)/(4/92). Find z such that 1/2*z**4 - 1/8*z**s + 0 + 0*z + 0*z**2 - 3/8*z**3 = 0.
0, 1, 3
Let a(s) be the first derivative of -s**5/30 - s**4/60 + 4*s**3/15 - 25*s**2/2 + 46. Let p(w) be the second derivative of a(w). Find f such that p(f) = 0.
-1, 4/5
Let f(u) = -2*u**2 + 44*u - 4. Let t be f(18). Let m = t + -137. Suppose 0*w**2 - 4*w**4 + 0*w + 0 - 8/7*w**m = 0. Calculate w.
-2/7, 0
Factor -2*k**4 + 15*k**2 + 58*k**2 + 22*k**2 + 150*k - 3*k**4.
-5*k*(k - 5)*(k + 2)*(k + 3)
Suppose 0 = 2*p - 10, -s + 2*p = -2*s + 13. Let d be (66/4)/(3 + s). Factor 0 + 9/4*m**5 + m**2 + m - d*m**3 - 3/2*m**4.
m*(m - 1)**2*(3*m + 2)**2/4
Let d be 2/(-22) - (1*3 + (-790)/220). What is t in 0 + 1/4*t**2 + d*t = 0?
-2, 0
Suppose 5638 = 18*w + 5584. Solve 1 - 3/2*y**2 + 1/2*y - 1/2*y**w + 1/2*y**4 = 0 for y.
-1, 1, 2
Let a(k) = -k + 4. Suppose 3*g - 4*i + 0*i - 18 = 0, 2*g + i = 1. Let x be a(g). Let -13*q**x + 21*q + 2 + 4*q**2 - 8 + 0 = 0. Calculate q.
1/3, 2
Let s be (12/(-21))/((-42)/(-18) + 5/(-2)). Factor -2/7*c**2 + s*c - 72/7.
-2*(c - 6)**2/7
Let v(n) = -2*n - 2. Let h be v(-3). Let m(l) = 2*l**2 - l - 4. Let u be m(2). Solve h*q - 22*q**3 - 7*q**2 - 5*q**u + 6*q**3 = 0 for q.
-1, 0, 1/4
Let x = 17 - 9. Suppose x = d + 6. Let -6*m**2 - 10*m**4 - 3*m**5 - d*m**4 - 11*m**3 - 4*m**3 = 0. Calculate m.
-2, -1, 0
Suppose 10*b + 51*b = 244. Suppose 4/3*o**b + 2/3*o**5 - 4/3*o**3 + 2/3*o + 4/3 - 8/3*o**2 = 0. Calculate o.
-2, -1, 1
Let c(j) be the first derivative of -26 + 1/6*j**3 + 0*j - 1/10*j**5 + 1/8*j**4 - 1/4*j**2. Suppose c(t) = 0. Calculate t.
-1, 0, 1
Let z(n) be the third derivative of -1/540*n**6 + 0 - 1/135*n**5 + 8*n**2 + 1/108*n**4 + 0*n + 2/27*n**3. Determine p so that z(p) = 0.
-2, -1, 1
Let r(c) be the third derivative of -c**6/45 + 71*c**5/90 + 47*c**4/18 + 19*c**3/9 + 669*c**2. Suppose r(w) = 0. Calculate w.
-1, -1/4, 19
Let w(m) be the third derivative of -m**5/120 - m**4/6 - 3*m**2 + 24. Factor w(d).
-d*(d + 8)/2
Let y be (480/(-18))/((-1)/3). Factor -100*w**2 + 6 - 10 - 1 - 11 - y*w.
-4*(5*w + 2)**2
Let o = -341/2 + 4917/26. Find n such that 2/13*n**2 + o + 44/13*n = 0.
-11
Let u = 47 - -6. Let v = 65 - u. Find k such that -6/5 - v*k**2 - 27/5*k**3 - 39/5*k = 0.
-1, -2/9
Let f(i) = 9*i**4 - 13*i**2 + 4*i + 7. Let x = -5 - -11. Let t(y) = 8*y**4 - 12*y**2 + 4*y + 6. Let w(g) = x*f(g) - 7*t(g). Suppose w(n) = 0. Calculate n.
-2, 0, 1
Let u(x) be the second derivative of -21/20*x**5 - 11*x + 6*x**2 + 6*x**3 + 0 - 9/4*x**4. What is a in u(a) = 0?
-2, -2/7, 1
Let b(r) be the third derivative of r**5/102 + 233*r**4/51 + 124*r**3/17 - 583*r**2. What is n in b(n) = 0?
-186, -2/5
Let j(r) be the second derivative of r**4/16 - r**3/8 - 3*r**2/4 - 7*r - 9. Solve j(b) = 0.
-1, 2
Let q(r) = -4*r**3 + 9*r**2 + 3*r + 5. Let a(g) = -12*g**3 + 28*g**2 + 8*g + 16. Let f(w) = -5*a(w) + 16*q(w). Solve f(k) = 0 for k.
-1, 0, 2
Let l be 33/22*(13/3 + -1). Let i(h) = 2*h**2 - 20*h - 76. Let t be i(13). Let 25/2 + 1/2*m**t + l*m = 0. What is m?
-5
Let f be ((-4)/(-10))/((-100)/(-500)). Solve 2/9 + 1/3*p**f - 5/9*p = 0 for p.
2/3, 1
Factor -10*a**2 + 1/2*a**4 + 32 - 3/2*a**3 + 24*a.
(a - 4)**2*(a + 1)*(a + 4)/2
Let x = 527/336 - 23/336. Factor 2*d**2 - d - x + d**3 - 1/2*d**4.
-(d - 3)*(d - 1)*(d + 1)**2/2
Let a(f) be the first derivative of -4*f**5/5 + 8*f**4 + 12*f**3 - 11. Factor a(o).
-4*o**2*(o - 9)*(o + 1)
Let w(k) be the first derivative of 0*k**2 - 8/3*k**3 - 2*k**5 - 1/3*k**6 + 0*k + 6 - 4*k**4. Factor w(d).
-2*d**2*(d + 1)*(d + 2)**2
Let g(n) be the second derivative of n**5/10 + 17*n**4/6 + 31*n**3/3 + 15*n**2 + 63*n. Factor g(i).
2*(i + 1)**2*(i + 15)
Factor 0 - 4/17*v + 14/17*v**2 + 8/17*v**3.
2*v*(v + 2)*(4*v - 1)/17
Let s(a) be the second derivative of -3*a**5/20 - 108*a**4 - 31104*a**3 - 4478976*a**2 + 269*a. Suppose s(t) = 0. What is t?
-144
Let f(l) = 145*l**2 - 65*l - 25. Let u(x) = -18*x**2 + 8*x + 3. Let i be 1/(6/(-75))*2. Let o(v) = i*u(v) - 3*f(v). Factor o(m).
5*m*(3*m - 1)
Let c(x) = 9*x**2 - 15*x + 1. Let z(u) = 5*u**2 - 8*u. Let i(y) = -4*c(y) + 7*z(y). Let r be i(2). Factor 24*o**4 - 3*o**2 + r + 27/2*o**5 + 15/2*o**3 + 0*o.
3*o**2*(o + 1)**2*(9*o - 2)/2
Let w be (-6)/(-1) - (0 + 2). Let p(q) = -q**2 + 4*q + 3. Let u be p(w). Factor 12*f**u + 2 + 19*f + 3*f**4 - 7*f + 1 + 15*f**2 + 3*f**2.
3*(f + 1)**4
Suppose -4*n - 77 = -449. Let g = n - 93. Suppose 1/4*f**2 - 1/8*f**5 + 0 + 3/8*f**3 + 0*f**4 + g*f = 0. Calculate f.
-1, 0, 2
Let n(t) be the first derivative of -2*t**5/5 + 16*t**4 - 148*t**3 - 544*t**2 - 578*t - 54. Let n(u) = 0. What is u?
-1, 17
Let p be 0 - (52/8)/(-13) - -2. Find s such that -2*s**4 - p*s + 2*s**3 + 1/2*s**5 + s**2 + 1 = 0.
-1, 1, 2
Solve 7/5*k**3 + 1/5*k**5 - 8/5*k + 1/5*k**2 + 4/5 - k**4 = 0.
-1, 1, 2
Let f(s) be the third derivative of s**7/10080 + s**6/720 + s**5/120 + s**4/6 + 5*s**2. Let c(k) be the second derivative of f(k). Factor c(v).
(v + 2)**2/4
Let z be 60/90*(-14)/(-4) + -2. Determine s, given that 1/3*s**2 + 0 + z*s = 0.
-1, 0
Let m be (29/(-174))/(1144/(-1146) - -1). Let p = -88 - m. Find z, given that 5/4*z**2 + 45/4 - p*z = 0.
3
Let 88*w**2 + 101*w**3 + 274 - 1426 - 768*w - 4*w**5 + 7*w**3 = 0. Calculate w.
-3, -2, 4
Let 1/8*s**3 - 1/8 + 3/8*s**2 - 1/4*s**4 - 1/8*s = 0. What is s?
-1, -1/2, 1
Let u = -82 + 84. Let i be 400/90 - 2*u. Determine y, given that 8/9*y**3 - 2*y + 10/9*y**5 - 20/9*y**2 - i + 8/3*y**4 = 0.
-1, -2/5, 1
Factor -4/9 - 8/9*c - 4/9*c**2.
-4*(c + 1)**2/9
Suppose -2*t = -5*h + 1 + 29, 3*h - t - 17 = 0. Suppose -u = -3*u + h. Suppose -1/2 + 2*s + s**u - 4*s**3 + 2*s**5 - 1/2*s**4 = 0. What is s?
-1, 1/4, 1
Suppose -a + 107 = 105. Let v(w) be the second derivative of -5/24*w**4 + 2*w + 3/40*w**5 + 0*w**a - 1/6*w**3 + 0. Factor v(k).
k*(k - 2)*(3*k + 1)/2
Let r be -3*(-1)/9*93. Let h = 50 - r. Determine l so that 3*l**5 - 16*l**2 + 30*l**3 - h*l**2 + 6*l + 5*l**2 + 9*l - 15*l**4 - 3 = 0.
1
Let o be (-1824)/(-988) - 4/(-26). Factor 24 - 6*y + 3/8*y**o.
3*(y - 8)**2/8
Let n(r) be the first derivative of 3*r**4/4 - 9*r**3 - 3*r**2/2 + 27*r + 86. Find a such that n(a) = 0.
-1, 1, 9
Let x(o) be the third derivative of o**5/12 - 415*o**4/6 + 68890*o**3/3 + 426*o**2. Determine w so that x(w) = 0.
166
Let d(h) = 11*h**3 - 27*h**2 - 164*h - 72. Let y(m) = -m**3 - m**2 + 2. Let o(g) = -d(g) - 6*y(g). Suppose o(r) = 0. What is r?
-3, -2/5, 10
Let k(d) be the third derivative of -d**8/1008 + d**7/90 - d**6/20 + d**5/9 - d**4/9 - 6*d**2 - 6*d. Suppose k(f) = 0. Calculate f.
0, 1, 2
Let g = 1393 + -9745/7. Factor -5/7*u - g - 1/