 s + 1. Let q(o) = -2*o**4 - o**3 + 11*o - 8. Let w = 6 + -5. Let j(l) = w*q(l) + 5*b(l). Let j(k) = 0. Calculate k.
-1, 1
Let p(w) be the first derivative of 1/40*w**6 - 1/10*w**5 + 6*w**2 + 0*w**3 + 0*w + 6 + 0*w**4. Let m(z) be the second derivative of p(z). Solve m(l) = 0.
0, 2
Let y(k) = -k**3 - 7*k**2 + 8*k + 6. Let h be y(-8). Let d be 1 + 3/(h - 3). Factor -21*u**3 + 0*u**2 + u - d + 0*u + 22*u**2.
-(u - 1)*(3*u - 1)*(7*u + 2)
Find j, given that 1/5*j**2 + 0 - 7/5*j = 0.
0, 7
Let p(g) = -g**3 + 3. Let y be p(0). Suppose 5*f + 3*s = 16, -3*f = y*s + 2 - 14. Factor 2*a**3 + 0*a**2 + a**2 - 3*a**4 + 0*a**2 + f*a**4 - 2*a.
-a*(a - 2)*(a - 1)*(a + 1)
Let n(f) = -23*f**2 + 8*f + 12. Let z be n(-2). Let m be (-392)/z + 6/(-8). Determine s, given that 4/3*s - m*s**2 + 0 = 0.
0, 2/5
Factor -254 - 5*m**3 - 80*m - 30*m**2 + 51*m**3 - m**3 - 5*m**4 + 254.
-5*m*(m - 8)*(m - 2)*(m + 1)
Let y be 2*((-26)/8 + 4)/(24/32). Suppose -2 - 1/4*p**y - 3/2*p = 0. What is p?
-4, -2
Let s(x) = 5*x**3 + 300*x**2 + 650*x - 989. Let g(z) = z**3 + 50*z**2 + 108*z - 165. Let u(o) = 34*g(o) - 6*s(o). Factor u(h).
4*(h - 27)*(h - 1)*(h + 3)
Let y(d) be the second derivative of 4*d**3 + 1/3*d**4 + 29*d + 0 - 1/5*d**5 + 0*d**2. Determine b so that y(b) = 0.
-2, 0, 3
Let g(v) = 4*v**2 + 32*v + 60. Let n be g(-2). Find m such that -18/5*m**3 - 88/5*m + 48/5 + 2/5*m**4 + n*m**2 = 0.
2, 3
Let j(t) be the second derivative of 5*t**4/54 - 44*t**3/27 - t**2 + 319*t + 1. Factor j(x).
2*(x - 9)*(5*x + 1)/9
Suppose -r - 5 = -4*o + 7, -16 = -3*o - r. Let u = 13 + -5. Factor -u*z**o - 3*z**4 + 8*z**4.
-3*z**4
Suppose -4*u - 1 + 9 = 0. Let c(a) = 3*a**3 + 5*a**2 - 8*a. Let j(r) = 21*r**3 + 36*r**2 - 57*r. Let b(h) = u*j(h) - 15*c(h). Factor b(m).
-3*m*(m - 1)*(m + 2)
Let k be (-1)/1*0/(-9). Suppose k = 3*z + z - 12. Determine i so that -i**2 + 8*i**5 - 9*i**5 - z*i**4 - 5*i**3 + 2*i**3 = 0.
-1, 0
Let j(z) be the second derivative of -11*z**4/4 + z**3 + 54*z. Suppose j(h) = 0. Calculate h.
0, 2/11
Let t(r) be the first derivative of -r**8/728 + 11*r**7/1365 - r**6/130 + 2*r**2 + 32. Let u(y) be the second derivative of t(y). Suppose u(g) = 0. What is g?
0, 2/3, 3
Solve 143 - 3*u**3 - 7*u**2 - 196*u + 52*u**2 - u**3 + 11*u**2 + 1 = 0 for u.
1, 4, 9
Let p(h) be the second derivative of -4*h**6/345 - 7*h**5/230 + h**4/3 + 37*h**3/69 - 12*h**2/23 - 245*h. What is a in p(a) = 0?
-4, -1, 1/4, 3
Let n be (-125)/100*(-16)/(-18) - -2. Solve n + 4/3*c**2 + 20/9*c = 0 for c.
-1, -2/3
Let b = -14211367/11585920 - -4/90515. Let s = 3/128 - b. Factor 1/4*n**3 + s*n + n**2 + 1/2.
(n + 1)**2*(n + 2)/4
Let i(s) be the first derivative of -8/5*s - 6/5*s**2 - 4/15*s**3 + 12. Factor i(t).
-4*(t + 1)*(t + 2)/5
Let o be (12/(-30))/((-3)/(-60)). Let z be (-2)/(-4)*(-4)/o. Factor -z*q**4 + 0*q - 1/4*q**3 + 0*q**2 + 0.
-q**3*(q + 1)/4
Solve 0 - w + 0*w**2 + 1/4*w**3 = 0 for w.
-2, 0, 2
Let w(m) be the first derivative of 0*m**2 + 1/40*m**6 - 9/80*m**5 - 3*m + 3/8*m**3 - 1/16*m**4 - 9. Let p(a) be the first derivative of w(a). Factor p(i).
3*i*(i - 3)*(i - 1)*(i + 1)/4
Let i(j) be the first derivative of 0*j - 2/3*j**6 - 9*j**4 - 4*j**2 + 6 - 28/3*j**3 - 4*j**5. Suppose i(s) = 0. Calculate s.
-2, -1, 0
Let y(r) = -r**2 + 11*r + 15. Let i be y(12). Find d such that 396*d**4 + 131*d**3 - 135*d**5 + 587*d**2 + 288*d**2 + 43*d**2 + 30 + 279*d + 1069*d**i = 0.
-1, -2/5, -1/3, 5
Factor 0*q**4 - 22*q + 14*q**4 + 6*q**2 + 6*q**3 - 16*q**4 + 0*q**4 + 11 + 1.
-2*(q - 3)*(q - 1)**2*(q + 2)
Factor -53 - 28 - 4 + 17 - 2*n**2 + 3*n - 73*n.
-2*(n + 1)*(n + 34)
Let n = 5/73 - -549/511. Factor 0 - n*q - 12/7*q**3 + 4*q**2.
-4*q*(q - 2)*(3*q - 1)/7
Let d(p) = 60*p - 1258. Let a be d(21). Factor -4/3 + 4/3*r**a - 2/3*r + 2/3*r**3.
2*(r - 1)*(r + 1)*(r + 2)/3
Suppose 20 = 4*n + 4*c, 3*n - 3*c - 1 = 2. Factor x**3 + 0*x**n + 22*x**2 + 56 - 30 + x**3 - 50*x.
2*(x - 1)**2*(x + 13)
Find i, given that 8/5*i - 12/5 + 3*i**2 - 3/5*i**4 + 2/5*i**5 - 2*i**3 = 0.
-2, -1, 1, 3/2, 2
Let d(v) = -16*v**4 - 5*v**3 + 41*v**2 + 20*v - 51. Let q(s) = -3*s**4 - s**3 + 8*s**2 + 4*s - 10. Let o(f) = -4*d(f) + 22*q(f). Suppose o(y) = 0. Calculate y.
-2, 1, 2
Suppose -16304 + 58976 = -21*n. Let s = 10208/5 + n. Factor 144/5*k + 27/5*k**4 + 168/5*k**2 + 3/5*k**5 + s + 96/5*k**3.
3*(k + 1)*(k + 2)**4/5
Suppose -1/8*u**2 + 0 - 1/4*u + 5/8*u**3 + 1/8*u**4 - 3/8*u**5 = 0. Calculate u.
-1, -2/3, 0, 1
Let b(p) = -2*p + 27. Let r be b(8). Factor 4*x**4 - 10*x**5 - 21*x**3 + 31*x**3 + r*x**4.
-5*x**3*(x - 2)*(2*x + 1)
Let m(a) be the third derivative of 0*a + 8/3*a**3 - 2/3*a**4 - 21*a**2 + 1/15*a**5 + 0. Factor m(f).
4*(f - 2)**2
Suppose 0 = -2*g - g + 4*k - 2, g - 2*k + 2 = 0. Factor -150*d**2 + 3*d**3 + 146*d**g + 7*d**3 + 2*d**5 - 8*d**4.
2*d**2*(d - 2)*(d - 1)**2
Let m(a) be the third derivative of 0 - 10*a**2 + 0*a - 1/8*a**4 + 1/20*a**5 - a**3. Suppose m(z) = 0. What is z?
-1, 2
Suppose g - 4 = -0*g. Find b such that 4*b + 1 - g*b**3 - 3 + 2 = 0.
-1, 0, 1
Solve 52*c**3 + 2*c**3 + 3*c**4 - 6*c**4 - 168 - 144*c**2 + 138*c + 123 = 0.
1, 15
Suppose -5*j + 3 = -5*m - 17, -4*j + 3*m + 13 = 0. Let b be (-1)/(3*j/(-6)). Factor -1/4*o + 0 - 1/4*o**b.
-o*(o + 1)/4
Let o(k) = 4*k**2 - 7*k + 8. Let z be o(4). Suppose 46*m - z*m = 0. Determine u so that -2/13*u**3 + 0*u - 2/13*u**4 + 0 + m*u**2 = 0.
-1, 0
Let i(y) be the first derivative of y**4 - 16*y**3/3 - 56*y**2 - 128*y + 41. What is s in i(s) = 0?
-2, 8
Let z(b) be the third derivative of -b**5/70 - 13*b**4/28 - 22*b**3/7 + 71*b**2. Factor z(a).
-6*(a + 2)*(a + 11)/7
Let m(c) be the second derivative of -c**4/3 - 74*c**3/3 + 164*c. Factor m(y).
-4*y*(y + 37)
Let a(q) be the first derivative of 2/27*q**3 + 16/9*q - 18 - q**2. Let a(i) = 0. What is i?
1, 8
Let o(x) be the first derivative of 0*x + 3 - 1/3*x**3 - 1/3*x**2 - 1/12*x**4. What is z in o(z) = 0?
-2, -1, 0
Let f(i) be the first derivative of -4*i**3/3 + 18*i**2 - 80*i + 97. Factor f(u).
-4*(u - 5)*(u - 4)
Let -4 - 9/4*u**2 - 6*u - 1/4*u**3 = 0. What is u?
-4, -1
Factor -2*x**3 + 6*x + 44 + 0*x - 6*x + 2*x - 44*x**2.
-2*(x - 1)*(x + 1)*(x + 22)
Let g = 293 - 291. Let n(v) be the first derivative of 1/3*v**3 - 7 - v**g + v. Factor n(m).
(m - 1)**2
Factor 5*m**5 - m**5 + 30*m**3 - 114*m**3 - 196*m**4 + 116*m**4.
4*m**3*(m - 21)*(m + 1)
Factor -105*h**2 - 17*h + 0*h**3 - 23*h - 5*h**3 + 102*h + 48*h.
-5*h*(h - 1)*(h + 22)
Let h(p) be the second derivative of p**4/20 - 7*p**3/10 + 9*p**2/5 + 46*p. What is r in h(r) = 0?
1, 6
Let b(p) be the second derivative of -7*p + 2/11*p**3 - 5/66*p**4 + 0*p**2 + 0 - 1/110*p**5. Factor b(i).
-2*i*(i - 1)*(i + 6)/11
Let i(t) = 5*t**3 + t**2 - 1. Let f be i(1). Suppose -3*g = -3*n + 12, -6 = -f*g + 14. Factor -n*a**2 - 19*a**2 - 6*a**3 + 6*a + 0*a**3 + 27*a**4.
3*a*(a - 1)*(a + 1)*(9*a - 2)
Let v(k) = -2*k**4 - 5*k**3 - 3*k**2 + 3*k - 3. Let i(t) = -t**3 - t**2 + t - 1. Let z = -40 + 13. Let s = -21 - z. Let q(b) = s*i(b) - 2*v(b). Factor q(r).
4*r**3*(r + 1)
Let -21726*n**2 - 5*n**4 - 20544 + 880263*n - 10686*n**2 + 440*n**3 + 3*n**4 - 757490 - 70255*n = 0. Calculate n.
1, 73
Let a(x) be the third derivative of 7*x**6/180 + 41*x**5/135 - 2*x**4/27 + 27*x**2 + 2. Factor a(o).
2*o*(o + 4)*(21*o - 2)/9
Suppose -4*l - 3*b + 30 = -7*l, -2*l - 2*b - 20 = 0. Let v be (-1 + -2)*l/(-66) + 1. Find n such that v - 2/11*n**2 + 4/11*n = 0.
-1, 3
Let r(w) = w**3 + w**2 - 1. Let n(d) = -4*d**3 - 9*d**2 + 7*d + 3. Let s(j) = -n(j) - 3*r(j). Suppose s(m) = 0. Calculate m.
-7, 0, 1
Let z = -63169/15 - -12665/3. Let z*i + 56/5 - 4/5*i**2 = 0. What is i?
-1, 14
Let t(y) be the second derivative of -7*y - 1/15*y**6 - 16*y**2 - 4/5*y**5 - 32/3*y**3 + 0 - 4*y**4. Factor t(p).
-2*(p + 2)**4
Let f = 597 - 594. Let o(t) be the third derivative of 1/15*t**5 - 1/4*t**4 + 0*t + 1/3*t**f + 0 - 4*t**2. Let o(q) = 0. Calculate q.
1/2, 1
Suppose 0 - 4 = -2*z. Let b = -342 - -344. Determine x, given that -38*x**b + 28*x**3 + 2*x**4 - 22*x**z - 2*x**4 + 36*x - 4*x**4 = 0.
0, 1, 3
Let r(f) be the first derivative of f**4/10 + 38*f**3/5 + 783*f**2/5 - 1682*f/5 + 494. Factor r(o).
2*(o - 1)*(o + 29)**2/5
Let h = -70 - -76. Let j be ((2 - 2) + 2)/1. Factor -1 - j*v**3 + 0*v**3 - 2 - 1 + h*v.
-2*(v - 1)**2*(v + 2)
Let c(y) be the first derivative of 0*y**