 + 45*b**5 - 44*b**5 + i - b**4 = 0. What is b?
0, 1
Let r(t) be the first derivative of 10 - 4/5*t**5 + 0*t + 1/3*t**6 - t**2 + 0*t**4 + 4/3*t**3. Suppose r(j) = 0. What is j?
-1, 0, 1
Solve -88/21*h - 10/7 + 2/7*h**2 = 0.
-1/3, 15
Factor -5*o**3 - 3*o + 2*o**3 - 2154*o**2 + 2148*o**2.
-3*o*(o + 1)**2
Find c, given that -20/11*c + 18/11*c**2 - 216/11*c**4 + 2/11 + 216/11*c**3 = 0.
-1/3, 1/6, 1
Let t = 24 - 10. Let g = t - 12. Factor -11*o**g + 4 - 58 - 2*o**3 - 54*o + o**2 - 8*o**2.
-2*(o + 3)**3
Let p = -105910/9 - -11768. What is j in 0*j**4 - 2/9*j**5 + 0*j**2 - p*j + 0 + 4/9*j**3 = 0?
-1, 0, 1
Let x = -3595 - -3597. Factor -x*w - 4/9 - 14/9*w**2.
-2*(w + 1)*(7*w + 2)/9
Find r, given that -7/6*r - 3 + 1/6*r**2 = 0.
-2, 9
Let x = 13 - 12. Let y = x - -1. Solve 15*r - 7*r - 4*r**2 - 8 + y*r**2 = 0.
2
Let z(n) be the first derivative of -2*n**3/9 + 2*n**2/3 + 2*n - 197. Factor z(l).
-2*(l - 3)*(l + 1)/3
Let j(t) be the third derivative of -7*t**7/30 + 7*t**6/120 + t**5/2 + 19*t**4/42 + 4*t**3/21 - 29*t**2. Factor j(i).
-(i - 1)*(7*i + 2)**3/7
Find m such that 0*m**3 - 9*m - 54 + 6*m**2 + 3*m**3 + 4*m**2 + 2*m**2 = 0.
-3, 2
Let q(p) be the first derivative of p**5/100 + p**4/8 + 2*p**3/5 + 4*p**2 + 3. Let w(y) be the second derivative of q(y). Factor w(t).
3*(t + 1)*(t + 4)/5
Let r(g) be the second derivative of 5*g**4/12 + 55*g**3 + 5445*g**2/2 - 25*g. Find a, given that r(a) = 0.
-33
Factor m**3 - 3*m**3 + 316*m + 2*m**3 - 24*m**2 + 112*m**2 - 400 - 4*m**3.
-4*(m - 25)*(m - 1)*(m + 4)
Determine y so that 18/7*y**4 + 3/7*y**5 + 30/7*y**2 + 36/7*y**3 + 0 + 9/7*y = 0.
-3, -1, 0
Let q = -7 + 19. Let a = q - 10. Find w, given that 3*w - 9*w + 4*w + a*w**2 = 0.
0, 1
Suppose 11*k + 17 + 16 = 0. Let o be (k + (-10)/(-3))*(-2 - -2). Factor 0 + 2/3*x**4 + o*x**2 + 0*x - 4/3*x**3.
2*x**3*(x - 2)/3
Let o(u) be the third derivative of u**6/96 + 55*u**5/48 - 565*u**4/96 + 95*u**3/8 + 117*u**2. Factor o(n).
5*(n - 1)**2*(n + 57)/4
Let z(s) be the third derivative of -s**5/80 - s**4/8 + 5*s**3/8 + 70*s**2. Factor z(t).
-3*(t - 1)*(t + 5)/4
Let m(h) be the second derivative of -3*h**5/20 + 5*h**4/4 - 7*h**3/2 + 9*h**2/2 + 34*h. Suppose m(i) = 0. What is i?
1, 3
Let t be 4 + (3 - (-8)/(-4)). Solve -8 - 8*y**2 - 9*y - y**5 + 16 - 3*y - 3*y**t + 16*y**3 = 0 for y.
-2, -1, 1
Let x(j) = j + 16. Let g be x(-14). Let y(f) = -7*f + 93. Let n be y(13). Factor 4*z + g - 5/2*z**n.
-(z - 2)*(5*z + 2)/2
Let q(g) = -g**4 + 8*g**3 - 18*g**2 + 26*g - 9. Let b(l) = -l**2 + l. Let m(i) = -6*b(i) - q(i). Let s(r) be the first derivative of m(r). Factor s(f).
4*(f - 2)**3
Let -278/5*t**4 - 55296/5 - 6196/5*t**3 - 38304/5*t**2 + 131328/5*t - 4/5*t**5 = 0. Calculate t.
-24, 1/2, 2
Let v be 6/14 - (19 - 660/35). Let 32/7*c**3 - v - 64/7*c**5 - 4/7*c - 32/7*c**4 + 16/7*c**2 = 0. What is c?
-1/2, 1/2
Factor 4/3*z**2 + z - 1/3.
(z + 1)*(4*z - 1)/3
Let m(u) be the second derivative of u**7/21 + 13*u**6/15 + 23*u**5/5 + 2*u**4 - 24*u**3 + 284*u. Let m(c) = 0. What is c?
-6, -2, 0, 1
Let k(c) = -6*c + 50. Let m be k(-19). What is r in m*r + 19*r**3 + 145*r**2 + 5*r**4 - 74*r + 26*r**3 + 105*r + 90 = 0?
-3, -2, -1
Let u(l) be the third derivative of -1/6*l**6 + 0*l - 12*l**3 + 0 + 1/15*l**5 - 18*l**2 + 7/2*l**4 + 2/105*l**7. Factor u(d).
4*(d - 3)**2*(d - 1)*(d + 2)
Let y(w) be the second derivative of w**7/84 - w**6/12 + 3*w**5/40 + 17*w**4/24 - 7*w**3/3 + 3*w**2 + 59*w. Suppose y(a) = 0. Calculate a.
-2, 1, 2, 3
Suppose -80*j**2 + 9*j + 84*j**2 - 5*j - 24 = 0. What is j?
-3, 2
Let r(w) be the first derivative of -5*w**4/4 - 55*w**3/3 - 195*w**2/2 - 225*w - 1044. Determine h so that r(h) = 0.
-5, -3
Let d(a) be the third derivative of 1/35*a**7 + 10*a**2 - 1/15*a**5 + 0*a + 0*a**4 + 0*a**3 + 0 - 1/12*a**6. Factor d(q).
2*q**2*(q - 2)*(3*q + 1)
Suppose 5*n = 3*n + 16. Factor n*y**2 - 8 - 7*y + 7*y + 12*y.
4*(y + 2)*(2*y - 1)
Let h = -112516/5 - -22516. Suppose 28/5*q**3 + h*q**2 + 0 + 16/5*q = 0. Calculate q.
-2, -2/7, 0
Let k be 2/((-36)/(-42)) - ((-1)/(-3))/(-1). Factor -2/3*o**2 - 8/3*o - k.
-2*(o + 2)**2/3
Let f be (2/(-6))/((-14)/12). Let q be 3 + -9 + 8 + -11 + 9. Factor -f*b**4 + 0*b**3 + q*b + 4/7*b**2 - 2/7.
-2*(b - 1)**2*(b + 1)**2/7
Suppose 61*h - 174 = 70. Let i(q) be the first derivative of 3/2*q**h + 3/2*q**2 - 3*q**3 - 4 + 0*q. Factor i(n).
3*n*(n - 1)*(2*n - 1)
Suppose -4*v + 11 + 5 = 0. Suppose b = -q - q + 8, -28 = -4*q + v*b. Find y such that -15 + 10 + q + 2*y - 2*y**3 = 0.
-1, 0, 1
Suppose 2*t - 15 + 11 = 0. Let d(a) = 5*a**3 + 2*a. Let n be d(t). Solve -206 - j**3 - n - j**3 - 30*j**2 - 150*j = 0 for j.
-5
Let s = 22 - 25. Let r(j) = 8*j**3 - 13*j**2 - 21*j + 5. Let f(k) = 4*k**3 - 7*k**2 - 11*k + 3. Let h(b) = s*r(b) + 5*f(b). Factor h(c).
-4*c*(c - 2)*(c + 1)
Let v(u) be the third derivative of -1/9*u**3 + 0*u + 0 - 1/36*u**4 - 28*u**2 + 1/360*u**5 + 1/720*u**6. Factor v(z).
(z - 2)*(z + 1)*(z + 2)/6
Let o = -43 - -48. Find f such that -o*f + 6*f**2 - 23*f**2 + 8*f**2 + 10*f**2 + f**3 + 3 = 0.
-3, 1
Suppose 7*f - 3*f + 28 = 3*y, 4*f - 36 = -5*y. Suppose -2*v - o = o, 5*o = -v - y. Suppose 0*g - 2/3*g**v + 0 = 0. What is g?
0
Let w(v) = v**2 + 6*v - 7558. Let c be w(-90). Factor 6/13 + 24/13*n**c + 20/13*n + 2/13*n**4 + 12/13*n**3.
2*(n + 1)**3*(n + 3)/13
Factor 3*f**2 + 16/5*f + 0 - 1/5*f**3.
-f*(f - 16)*(f + 1)/5
Suppose 4*n + 34 = 5*p, p + 2*n = -2*p + 38. Let w = 12 - p. Factor 1 + 1 + 0*a**w - 1 - a**2.
-(a - 1)*(a + 1)
Suppose 3*x + 20*x - 115 = 0. Let u(z) be the second derivative of 1/2*z**2 + 15/16*z**4 + z**3 + x*z + 0 + 5/16*z**5. Find y such that u(y) = 0.
-1, -2/5
Let p be 182/(-21)*1/(-14). Let c = p + 1/21. Factor c*w**2 - 2*w + 4/3.
2*(w - 2)*(w - 1)/3
Let u(g) be the first derivative of -5*g**4/4 - 15*g**3 + 30*g**2 + 100*g + 189. Solve u(k) = 0.
-10, -1, 2
Solve 30*t**2 - 4*t**5 - 376*t**4 + 356*t**4 - 5*t**3 - t**5 = 0 for t.
-3, -2, 0, 1
Let v(j) = -43*j - 299. Let a be v(-7). Suppose 0 = 3*b - 0*x + 4*x + 13, -5*b + 3*x = -17. Factor 1/4*o**a + b - o.
(o - 2)**2/4
Let x(l) = 2*l**2 + 2*l - 60. Let f(k) = -2*k**2 - 2*k + 60. Let y(s) = 5*f(s) + 6*x(s). Factor y(j).
2*(j - 5)*(j + 6)
Let l(v) be the third derivative of -v**9/3024 - 5*v**8/4032 + v**7/144 + v**6/72 - v**5/5 + 23*v**2. Let g(k) be the third derivative of l(k). Factor g(f).
-5*(f - 1)*(f + 2)*(4*f + 1)
Factor -96/7*j + 92/7 + 4/7*j**2.
4*(j - 23)*(j - 1)/7
Let q(j) = -j**2 + 9*j. Let o be q(9). Let c(l) be the second derivative of 5*l - 1/24*l**4 + o - 1/4*l**2 - 1/6*l**3. Solve c(v) = 0.
-1
Factor -36 - 29 - 46 - 3*p**2 + 114*p.
-3*(p - 37)*(p - 1)
Suppose -4*v - 9 = -17. Suppose -v*t + t = -6. Factor 4*x**3 + t*x - 12*x**3 - 2*x + 4*x**3.
-4*x*(x - 1)*(x + 1)
Let x = 16 - 12. Find d, given that -x*d**4 + 2*d**4 + 6*d**3 + 0*d**3 - 4*d**3 = 0.
0, 1
Suppose 24*m = 9*m + 18*m. Let g(b) be the third derivative of 0 + 5*b**2 + 1/945*b**7 + 0*b**6 + 0*b + m*b**4 + 0*b**3 - 1/270*b**5. Factor g(c).
2*c**2*(c - 1)*(c + 1)/9
Let w = -4937/2 - -2470. Let k(y) be the first derivative of 0*y - w*y**4 + 11 + 3/5*y**5 + 3*y**2 - y**3. Determine n, given that k(n) = 0.
-1, 0, 1, 2
Let f(v) be the third derivative of -v**6/180 + v**5/18 + v**4/36 - 5*v**3/9 + 111*v**2. Let f(a) = 0. Calculate a.
-1, 1, 5
Factor -2/15*a**3 + 16/5 - 56/15*a + 4/3*a**2.
-2*(a - 6)*(a - 2)**2/15
Let k(p) be the third derivative of 5/48*p**4 - 1/48*p**6 + 1/3*p**3 + 0*p - 1/420*p**7 + 0 - 1/40*p**5 - 28*p**2. Factor k(l).
-(l - 1)*(l + 1)**2*(l + 4)/2
Let c(b) be the third derivative of 1/180*b**5 - 1/48*b**4 + 0 - 26*b**2 + 1/36*b**3 + 0*b. Factor c(m).
(m - 1)*(2*m - 1)/6
Factor 3/8 - 3/2*z - 15/8*z**2.
-3*(z + 1)*(5*z - 1)/8
Let d(l) be the second derivative of l**6/105 + l**5/10 + l**4/42 - 9*l**3/7 + 18*l**2/7 + 52*l + 2. Factor d(y).
2*(y - 1)**2*(y + 3)*(y + 6)/7
Let m = -10229 - -51218/5. Solve 4/5 + 49/5*d**5 - 17/5*d**3 - 77/5*d**4 + m*d**2 - 32/5*d = 0 for d.
-1, 2/7, 1
Suppose 5*p - 88 = l + 2*p, -5*l = 2*p + 423. Let z = l + 87. Suppose -z*w - 4/7 - 10/7*w**2 = 0. Calculate w.
-1, -2/5
Let x(d) be the first derivative of -d**3 + 27*d**2/2 + 20. Factor x(s).
-3*s*(s - 9)
Let j be 99/(-132) - (-10)/(-8). Let g be (304/(-168) - j)*(-6)/(-4). Factor 0 - g*d**3 + 2/7*d + 0*d**2.
-2*d*(d - 1)*(d + 1)/7
Fac