 15*b - 12*b**2 - 6 + 3*b**3.
-3*(b + 1)**2*(b + 2)
Suppose 23 - 13 = 2*l. Suppose -34*h**5 + h**2 + 10*h**4 - 12 + 24*h + 31*h**5 - 21*h**3 + l*h**4 - 4*h**2 = 0. Calculate h.
-1, 1, 2
Let w(t) be the second derivative of 0 + 0*t**4 - 1/231*t**7 + 32*t + 0*t**5 + 0*t**3 - 1/165*t**6 + 0*t**2. Factor w(p).
-2*p**4*(p + 1)/11
Let f(y) = 3*y**2 - 7*y + 0*y - 6*y. Let q(s) = s**2 - 6*s. Let w(v) = -4*f(v) + 7*q(v). Solve w(b) = 0 for b.
0, 2
Let i = 911 + -902. Factor 3 - i*a + 21/4*a**3 - 27/4*a**2.
3*(a - 2)*(a + 1)*(7*a - 2)/4
Let z = -4 - -40. Let v = -13 + z. Factor 3*d**3 + 20*d + 48 + 43*d**2 - v*d**2 + 52*d + 7*d**2.
3*(d + 1)*(d + 4)**2
Let o(i) = i**2 - 1. Let q(p) be the second derivative of 1/3*p**3 - 3/2*p**2 + 0 - 2*p + 1/12*p**4. Let r(l) = 6*o(l) - 2*q(l). Factor r(g).
4*g*(g - 1)
Let g(h) be the second derivative of -h**7/168 - h**6/18 - h**5/8 + 19*h**3/3 - 31*h. Let n(l) be the second derivative of g(l). Factor n(q).
-5*q*(q + 1)*(q + 3)
Let f be 2/30 + (-1)/(-3). Let m = 12491 - 12489. Factor 1/5*l**m + f*l - 3/5.
(l - 1)*(l + 3)/5
Suppose -3*c + 32 = 5*h, 0 = 3*h + 3*c - 4*c - 8. Factor -3 - 3*y**5 - 8*y - 9*y - 30*y**3 - 30*y**2 - 5*y**h - 10*y**4 + 2*y.
-3*(y + 1)**5
Let d(p) be the first derivative of p**6/6 - 9*p**5/20 + p**4/8 + 2*p**3/3 - 3*p**2/4 + p/4 + 337. Factor d(q).
(q - 1)**3*(q + 1)*(4*q - 1)/4
Let -9208/13*k**2 - 13440/13*k - 14/13*k**4 - 696/13*k**3 + 4608/13 = 0. Calculate k.
-24, -2, 2/7
Let s(z) be the third derivative of z**7/1680 - 13*z**6/960 + z**5/16 - 528*z**2. Find f, given that s(f) = 0.
0, 3, 10
Let t = 330 - 659/2. Let y(x) be the first derivative of x**2 - 1 - t*x**4 - 6*x + 2*x**3. Solve y(j) = 0.
-1, 1, 3
Let u = 1865 + -3729/2. What is q in -1/4*q**3 + u - 5/4*q + q**2 = 0?
1, 2
Suppose 85*q - 3*y + 27 = 90*q, 4 = 4*q - 2*y. Factor 4/3*v + 2/3*v**2 + 0 - 2/3*v**q.
-2*v*(v - 2)*(v + 1)/3
Let f(j) = -j**4 + 89*j**3 + 175*j**2 + 79*j + 6. Let q(h) = 90*h**3 + 175*h**2 + 80*h + 5. Let r(n) = 5*f(n) - 6*q(n). Let r(s) = 0. What is s?
-17, -1, 0
Let 24/5*v**3 - 96/5*v**2 + 32*v - 2/5*v**4 - 96/5 = 0. Calculate v.
2, 6
Solve -51*f**3 + 83*f + 4*f - 81*f**2 + 72*f**3 + 3*f**4 - 30 = 0.
-10, 1
Suppose -21 = 3*v + 12. Let y(s) = -2*s**2 - 6*s - 4. Let g(w) = 2 + w**2 - 13*w - 8*w + 24*w. Let l(c) = v*g(c) - 6*y(c). Find k such that l(k) = 0.
-2, -1
Let w(y) be the third derivative of -5*y**6/8 + 67*y**5/2 - 131*y**4/2 + 52*y**3 - 356*y**2. Factor w(k).
-3*(k - 26)*(5*k - 2)**2
Let i(a) be the first derivative of a**4/10 - 4*a**3/5 - 27*a**2/5 + 21. Factor i(t).
2*t*(t - 9)*(t + 3)/5
Let m(n) be the first derivative of n**7/840 - n**6/360 + 2*n**3 - 12. Let x(b) be the third derivative of m(b). Factor x(y).
y**2*(y - 1)
Let a(s) be the second derivative of s**4/3 + 8*s**3 - 26*s**2 - 482*s. Find i such that a(i) = 0.
-13, 1
Let u be 117*((-24)/9 - -3). Factor 36*p**5 - 72*p**4 - 8*p**2 + 13*p**3 + u*p**3 - 24*p**4.
4*p**2*(p - 2)*(3*p - 1)**2
Let a = 176 - 170. Let d(n) be the first derivative of a*n - 3/2*n**2 + 3/4*n**4 + 3 - 2*n**3. Factor d(c).
3*(c - 2)*(c - 1)*(c + 1)
Let x(w) be the second derivative of 5/3*w**4 - 17*w + 0 + 8/3*w**3 - 2/15*w**6 - w**5 - 8*w**2 + 2/21*w**7. Let x(f) = 0. What is f?
-2, -1, 1, 2
Let b(n) be the first derivative of -n**5/25 + 9*n**4/10 + 19*n**3/15 + 392. Factor b(f).
-f**2*(f - 19)*(f + 1)/5
Let s(c) = -33*c**2 - 135*c - 9. Let d be s(-4). Suppose 6/5*y**d + 2/5*y**4 + 4/5*y**2 + 0 + 0*y = 0. What is y?
-2, -1, 0
Let l(w) be the first derivative of -33 - 7/18*w**3 + 2/3*w - 5/12*w**4 - 1/10*w**5 + 1/3*w**2. Find g, given that l(g) = 0.
-2, -1, 2/3
Suppose -2*b = -8*b - 6. Let r(d) = d**2 - d - 1. Let h(m) = 15*m**2 - 6*m - 3. Let q(v) = b*h(v) + 18*r(v). Factor q(i).
3*(i - 5)*(i + 1)
Let c = 2706 + -13528/5. Let w(j) be the first derivative of 0*j - j**2 + c*j**5 + 2*j**3 - 3/2*j**4 - 13. Factor w(k).
2*k*(k - 1)**3
Let h = -288 - -163. Let c = h - -128. Factor 3/4*a**c + 0 + 1/2*a**2 - 1/4*a.
a*(a + 1)*(3*a - 1)/4
Let k(x) = -x**3 - 7*x**2 - 3*x - 16. Let a be k(-7). Suppose -153 = -a*w + 112. Factor -53 + w - 2*h**5.
-2*h**5
Let z = 2435 - 2432. What is c in 2/11*c**5 + 0 - 6/11*c**z + 2/11*c**4 - 2/11*c**2 + 4/11*c = 0?
-2, -1, 0, 1
Let u(p) = 22*p**2 + 350*p - 366. Let b(w) = -19*w**2 - 353*w + 367. Let h(z) = 6*b(z) + 5*u(z). Factor h(y).
-4*(y - 1)*(y + 93)
Let d(w) = w**3 - 100*w**2 + 105*w - 592. Let x be d(99). Factor -208/3*m - 115/3*m**3 + 241/3*m**x - 1/3*m**5 + 64/3 + 19/3*m**4.
-(m - 8)**2*(m - 1)**3/3
Let i be (24/168*-14)/(0 - (-2 - -3)). Solve -16/3*t**i + 12*t**3 - 11/3*t**4 - 64/3*t + 0 + 1/3*t**5 = 0 for t.
-1, 0, 4
Let u(h) = 4*h**3 + 2*h**2 - 1. Let n be u(-1). Let z be 4/(-6)*n - 0. Factor -1/2*g**2 + 2 + z*g - 1/2*g**3.
-(g - 2)*(g + 1)*(g + 2)/2
What is x in 29*x + 40*x**3 + 5*x**4 - 9*x + 14*x + 92*x**2 - x**4 + 22*x = 0?
-7, -2, -1, 0
Let s be ((-1)/4)/(12*7/(-112)). Let l(c) be the second derivative of -1/10*c**5 + s*c**4 - 1/3*c**3 + 0*c**2 + 3*c + 0. Factor l(y).
-2*y*(y - 1)**2
Let n be 334*(-90)/(-66) - -6. Let s = 462 - n. Factor 6/11*p + 2/11*p**3 + s*p**2 + 2/11.
2*(p + 1)**3/11
Suppose 4*o = d - 3, -8*o + 13*o = -3*d + 9. Determine s, given that -2/9*s**2 - 4/9*s**3 + 4/9*s + 2/9*s**4 + o = 0.
-1, 0, 1, 2
Let r(o) be the third derivative of 8*o**7/105 - o**6/3 + 3*o**5/20 + 13*o**4/24 + o**3/3 + 49*o**2. Factor r(x).
(x - 2)*(x - 1)*(4*x + 1)**2
Let q(y) = -32*y**3 + 160*y**2 + 159*y + 11. Let u(k) = 6*k**3 - 32*k**2 - 32*k - 2. Let g(t) = -4*q(t) - 22*u(t). Find j such that g(j) = 0.
-1, 0, 17
Solve 1/8*v**3 - 93/8*v - 5/2*v**2 - 9 = 0 for v.
-3, -1, 24
Factor 1456*n - 2976*n - 2*n**3 + 52*n**2 + 48 + 1422*n.
-2*(n - 24)*(n - 1)**2
Let d(n) be the third derivative of 0*n + 2/15*n**4 + 2/5*n**3 + 1/75*n**5 - 2*n**2 + 0. Factor d(u).
4*(u + 1)*(u + 3)/5
Let u(a) = 3*a**4 + 13*a**3 - 113*a**2 - 351*a - 183. Let d(n) = 5*n**4 + 27*n**3 - 223*n**2 - 701*n - 367. Let f(k) = -6*d(k) + 14*u(k). Solve f(b) = 0.
-3, -2/3, 5
Determine k so that 26/9*k**2 + 8 - 2/9*k**3 - 32/3*k = 0.
1, 6
Let f = 178993/5 + -9128531/255. Let p = f + -2/51. Suppose -4/5*c - 2/5*c**2 - p = 0. What is c?
-1
Let m(i) be the third derivative of i**7/420 - i**6/80 - i**5/120 + i**4/16 - 19*i**2 - i. Determine u so that m(u) = 0.
-1, 0, 1, 3
Let i(u) be the third derivative of u**5/150 - u**4/15 + 4*u**3/15 - 2*u**2 - 57*u. Let i(k) = 0. Calculate k.
2
Let z(m) be the third derivative of -m**7/140 - m**6/6 - 59*m**5/45 - 10*m**4/3 - 4*m**3 - 68*m**2. Suppose z(k) = 0. Calculate k.
-6, -2/3
Factor -7*k**2 + 4*k**3 + 3*k**2 - k**5 - 7*k**4 + 20*k**2 - 12*k**3.
-k**2*(k - 1)*(k + 4)**2
Factor -27/7*y - 6/7*y**2 + 3/7*y**3 + 54/7.
3*(y - 3)*(y - 2)*(y + 3)/7
Suppose -i + 4*r + 10 = -2*i, 3*r + 27 = -4*i. Let s be 3*(i/(-16))/((-45)/(-60)). Solve -s*u**2 + 6 - 3*u + 3/4*u**3 = 0.
-2, 2
Let m(q) be the second derivative of -q**7/42 + q**5/5 - q**4/6 - q**3/2 + q**2 - 242*q. Let m(y) = 0. Calculate y.
-2, -1, 1
Factor 4*y - 7/2*y**4 + 48 - 1/4*y**5 - 69/4*y**3 - 31*y**2.
-(y - 1)*(y + 3)*(y + 4)**3/4
Let n be (-1)/5*10/(-12). Suppose 14*c = 9*c. Factor -n*r + 1/6*r**3 + c*r**2 + 0.
r*(r - 1)*(r + 1)/6
Let v(n) = 5*n**3 + 2*n**3 - 5*n**3 + n**2 + 2 - 3. Let p be v(1). Factor -y - y**p + 0*y**2 + 2*y.
-y*(y - 1)
Solve 35*i**2 + 15*i**4 - 63*i + 40*i**3 + 73*i + 2*i**4 - 2*i**4 = 0 for i.
-1, -2/3, 0
Let a(l) = 3*l**4 + 9*l**3 - 5*l. Suppose 0 = -15*n + 24*n + 90. Let w(r) = -2*r + 0*r**4 + 4*r**3 + 4*r**4 - 3*r**4. Let s(b) = n*w(b) + 4*a(b). Factor s(g).
2*g**3*(g - 2)
Let v be 1/(-120)*-98 + 87/(-116). Let u(k) be the second derivative of 1/30*k**4 - 1/50*k**5 - 1/75*k**6 + 0 + 4*k + v*k**3 + 0*k**2. Factor u(t).
-2*t*(t - 1)*(t + 1)**2/5
Let f be 11 - (21 - 12) - -1. Let 1/5*c**f - 1/5 + 1/5*c**2 - 1/5*c = 0. Calculate c.
-1, 1
Let d(t) be the first derivative of -t**5/10 - t**4/8 + 2*t**3 + 7*t**2 + 8*t + 140. Factor d(b).
-(b - 4)*(b + 1)*(b + 2)**2/2
Let x(v) be the third derivative of v**6/420 + v**5/105 - v**4/84 - 2*v**3/21 - 161*v**2. Determine o, given that x(o) = 0.
-2, -1, 1
Factor 37*t**2 + 19*t**2 + t**4 + 10*t + 3*t**3 - t**3 - 69*t**2.
t*(t - 2)*(t - 1)*(t + 5)
Let w be (-6)/(((-1092)/(-176))/(-7)). Let j = w - 499/91. Factor -3/7*q + j*q**2 + 0.
3*