 + 0*r**2 + 3/20*r**5 + 15*r + 0*r**3 + 1/6*r**4 + 0. Factor c(a).
-a**2*(a - 2)*(a + 1)**2
Suppose -d - 4*q - 20 = -5*d, -3*q - 15 = -4*d. Let s(w) = w**3 + 5*w**2 - 5*w + 8. Let g be s(-6). Factor d - 2/13*a + 2/13*a**g.
2*a*(a - 1)/13
Let h(o) be the second derivative of 7/30*o**6 - o**2 - 5/12*o**4 + 9*o + 3/2*o**3 + 0 - 9/20*o**5. What is r in h(r) = 0?
-1, 2/7, 1
Let z(n) = -n**2 + 6*n - 2. Let a be z(5). Let h(i) be the first derivative of -4 + 1/2*i**4 + 2/3*i**a + 0*i - 2*i**2. Factor h(w).
2*w*(w - 1)*(w + 2)
Suppose 184/17*k - 360/17 - 2/17*k**2 = 0. Calculate k.
2, 90
Let r(q) be the second derivative of 5*q**4/3 + 1945*q**3/2 - 730*q**2 - 58*q - 3. Factor r(t).
5*(t + 292)*(4*t - 1)
Let w(y) = 13*y**2 - 80*y + 391. Let t(b) = -6*b**2 + 40*b - 196. Let o(k) = 9*t(k) + 4*w(k). Factor o(a).
-2*(a - 10)**2
Let g(f) be the second derivative of -f**5/30 - 7*f**4/18 - 11*f**3/9 - 5*f**2/3 - 8*f + 23. What is k in g(k) = 0?
-5, -1
Let q = -15 - -20. Factor 20*b**2 + 7*b**4 - 8*b + 6*b**5 + 0*b**5 - 11*b**4 - 12*b**3 - 2*b**q.
4*b*(b - 1)**3*(b + 2)
Let r be ((-33)/(-198))/(5/2). Let m(v) be the second derivative of 4*v + 0*v**2 + 0 - 1/50*v**5 - 1/30*v**4 + r*v**3 + 1/75*v**6. Factor m(y).
2*y*(y - 1)**2*(y + 1)/5
Determine b, given that -5*b + 16*b + 6*b + 19*b - 9*b**3 + 15*b**4 - 66*b**2 + 24 = 0.
-2, -2/5, 1, 2
Let m(y) = -34*y**2 + 120*y - 14. Let k(q) = 7*q**2 - 24*q + 3. Let g(j) = 14*k(j) + 3*m(j). Factor g(u).
-4*u*(u - 6)
Suppose -48*d - 39 = -51*d. Let -4*v**2 - d - 9 + 2 + 6*v - 30*v = 0. Calculate v.
-5, -1
Let q(g) = 64*g**2 + 56*g - 19. Let h(u) be the first derivative of -7*u**3 - 19*u**2/2 + 6*u - 6. Let x(t) = 11*h(t) + 4*q(t). Factor x(w).
5*(w + 1)*(5*w - 2)
Let w be 8/(0 + 4/(-2) + 3). Suppose -3*x + w*x = 0. Factor x*k**2 - k**4 + 0*k + 0 - 1/2*k**3 - 1/2*k**5.
-k**3*(k + 1)**2/2
Let g(c) = -c**3 - c**2 + 10*c + 6. Let f be g(3). Factor -t**4 - 1/2*t**5 + f*t + 0*t**2 + 0*t**3 + 0.
-t**4*(t + 2)/2
Let g(w) be the second derivative of -1/5*w**5 + 0 - 2/63*w**7 + 2/15*w**6 + 1/9*w**4 - 37*w + 0*w**3 + 0*w**2. Factor g(p).
-4*p**2*(p - 1)**3/3
Suppose z - 3*z = -16. Suppose 28 = 2*m - 5*k + 5, 26 = 5*m - 2*k. Factor m*b**2 + 7*b - b - z*b - 2*b**3.
-2*b*(b - 1)**2
Let m = -1156 + 1815. Let q = m - 3263/5. Factor 32/5*x**3 - 32/5*x + 14/5*x**4 - q + 2/5*x**5 + 16/5*x**2.
2*(x - 1)*(x + 2)**4/5
Let v = 90434 + -271300/3. Let z = -2/147 - -100/147. Determine a, given that z*a**2 - v - 2/3*a + 2/3*a**3 = 0.
-1, 1
Let w(v) be the first derivative of -v**6/10 - 99*v**5/25 - 9*v**4/2 + 64*v**3/5 + 22. Solve w(a) = 0.
-32, -2, 0, 1
Let o be 1/(-2) + (-2968)/(-5376). Let s(i) be the third derivative of 0*i + 0 - 4*i**2 - 5/12*i**3 - o*i**4 + 1/48*i**5. Determine g, given that s(g) = 0.
-1, 2
Let f = -1171 - -1174. Let u(k) be the first derivative of -16*k**2 - 16*k + 12 - 20/3*k**f - k**4. Factor u(b).
-4*(b + 1)*(b + 2)**2
Let c be 1/((-18)/(3 - 12)). Let t(a) be the first derivative of 4/3*a**3 + c*a**2 - 8 + 0*a. Factor t(m).
m*(4*m + 1)
Let q be ((-156)/(-10))/6 - (-2)/5. Factor -2*r**2 + 2*r**2 + 20*r**3 - 8*r - 18*r**q.
2*r*(r - 2)*(r + 2)
Let t(x) be the first derivative of 2*x**5/55 - 79*x**4/22 + 3040*x**3/33 + 1600*x**2/11 - 41. Factor t(h).
2*h*(h - 40)**2*(h + 1)/11
Suppose 85 = 9*x - 50. Let o(y) = 4*y**2 + 29*y + 166. Let p(u) = u**2 + u - 1. Let k(i) = x*p(i) - 5*o(i). What is z in k(z) = 0?
-13
Let k(d) be the third derivative of -d**8/112 + d**6/4 - d**5 + 15*d**4/8 - 2*d**3 + 121*d**2. Solve k(g) = 0.
-4, 1
Let v(j) be the first derivative of j**6/300 - j**5/30 + 2*j**4/15 - 4*j**3/15 - 5*j**2/2 - 5. Let r(x) be the second derivative of v(x). Factor r(b).
2*(b - 2)**2*(b - 1)/5
Let b(h) be the second derivative of -4/9*h**3 + h**2 + 1/18*h**4 - 5*h + 0. Factor b(p).
2*(p - 3)*(p - 1)/3
Let 4/3*z + 0 - 10/3*z**2 + 8/3*z**3 - 2/3*z**4 = 0. What is z?
0, 1, 2
Suppose 5 = -5*n + 5*i, -6 = n - 5*i + 7. Suppose 3*g + 9*d = 10*d + n, 0 = 4*g + 5*d + 10. Suppose 2/7*j**4 + g*j - 4/7*j**3 + 2/7*j**2 + 0 = 0. What is j?
0, 1
Let z be ((-488)/427)/((-6)/14). Let s = -5 - -8. Let -2*a**2 + z + 2/3*a**s + 0*a = 0. What is a?
-1, 2
Let x(q) be the second derivative of -q**5/120 - q**4/24 + q**3/36 + q**2/4 - 53*q. Solve x(j) = 0 for j.
-3, -1, 1
Let c(g) = 2*g**2 + 380*g - 31690. Let i(n) = -n**2 - 8*n + 2. Let o(u) = 2*c(u) + 6*i(u). Factor o(t).
-2*(t - 178)**2
Let w(d) be the second derivative of 0*d**3 + 0 + 5/12*d**4 - 2*d - 5/2*d**2. Let w(y) = 0. What is y?
-1, 1
Let m(v) = 11*v + 222. Let g be m(-20). Factor -1/4*d + 1/4*d**g + 1/4*d**3 + 0 - 1/4*d**4.
-d*(d - 1)**2*(d + 1)/4
Solve -2/9*b**4 + 20/9*b + 0 + 38/9*b**2 + 16/9*b**3 = 0.
-1, 0, 10
Let f(v) be the first derivative of -v**6/33 - 12*v**5/55 + v**4/22 + 4*v**3/11 + 349. Let f(k) = 0. What is k?
-6, -1, 0, 1
Suppose 0 = -2*v - 2, 8 - 28 = 4*i - 4*v. Let t be (i/20)/(8 - 276/30). What is y in t + 0*y - 1/4*y**2 = 0?
-1, 1
Let k = -641/4 + 161. Let f = -11/20 + 13/10. Factor 3/2*l - f - k*l**2.
-3*(l - 1)**2/4
Let c(a) be the third derivative of a**7/5040 - a**5/240 - a**4/72 + a**3/6 - 17*a**2. Let z(n) be the first derivative of c(n). Factor z(w).
(w - 2)*(w + 1)**2/6
Let h(y) be the second derivative of y**6/12 - 5*y**4/24 - 283*y. Let h(d) = 0. What is d?
-1, 0, 1
What is u in -5/4*u**3 + 5/4*u**5 + 5 + 0*u - 35/4*u**2 + 15/4*u**4 = 0?
-2, -1, 1
Factor 3/8*p**2 + 0 - 51/8*p.
3*p*(p - 17)/8
Let f = 4229/2527 - 140/361. Factor 3/7*l**4 - 12/7*l**2 + 6/7*l + f - 6/7*l**3.
3*(l - 3)*(l - 1)*(l + 1)**2/7
What is r in r**2 + 60 + 2*r**2 - 36*r + 0*r**2 - 27*r = 0?
1, 20
Let f(u) be the first derivative of -9 + 0*u**2 + 0*u**3 + 0*u - 2/3*u**6 - 8/5*u**5 - u**4. Factor f(z).
-4*z**3*(z + 1)**2
Let w = -28416 + 937646/33. Let a = w - -42/11. Factor 4 + a*d**2 + 16/3*d.
4*(d + 1)*(d + 3)/3
Let i(s) = 2*s + 4. Let m be i(3). Suppose 6*q = m*q - 256. Factor 8*h**2 + 120*h - 64*h + 2 - q*h.
2*(2*h - 1)**2
Factor -800/7 - 2/7*o**2 - 80/7*o.
-2*(o + 20)**2/7
Suppose l - 37 = -3*w, -2*w = -8*l + 4*l + 106. Let y be 1 - (6/l)/(27/18). Let 0*u**2 + 0 - 18/7*u**3 + y*u**5 - 4/7*u**4 + 8/7*u = 0. Calculate u.
-1, 0, 2/3, 2
Suppose 4*w + 3 = -5, -4*w = 4*u. Let o be -6 + 4 + u + 19. Solve 8 - 9*h**3 + o*h**3 - 14*h**3 - 8*h**2 + 4*h = 0 for h.
-2, -1, 1
Suppose 4 = -m - 31. Let l = m + 39. Find d such that -2/11*d**l + 2/11*d**2 + 2/11*d**3 - 2/11*d + 0 = 0.
-1, 0, 1
Let z(m) = -m**3 - m**2 + 1. Let y(k) = k**4 + k**3 + k**2 + 7*k + 2. Let t(p) = -3*y(p) - 12*z(p). Factor t(h).
-3*(h - 3)*(h - 2)*(h + 1)**2
Let p be ((-112)/(-21))/((-4)/(-6)). Factor 5*f + 14*f + p*f**2 + 5*f - 14*f + 2.
2*(f + 1)*(4*f + 1)
Find b such that 2/3 - b**3 + 10/3*b**2 - 3*b = 0.
1/3, 1, 2
Suppose 9*d - 232 = 2. Let b be (1/d)/(3/12). Factor b - 4/13*y + 2/13*y**2.
2*(y - 1)**2/13
Suppose 2*y = 0, 6*y = 2*u + 2*y - 8. Suppose 3*o = u*m + 56, 5*m - 45 = -5*o + 2*m. Suppose 4*p + 4*p**4 - 5*p**4 + 12*p**2 + 5*p**4 + o*p**3 = 0. What is p?
-1, 0
Let 0 - 2/13*k**2 + 2/13*k**4 + 2/13*k**3 + 0*k - 2/13*k**5 = 0. What is k?
-1, 0, 1
Factor -75 + 406*b**2 - 405*b**2 + 13*b + 27.
(b - 3)*(b + 16)
Let b(r) be the second derivative of -7*r**5/30 + 17*r**4/6 - 14*r**3/9 + 102*r. Factor b(y).
-2*y*(y - 7)*(7*y - 2)/3
Let f be -5 + 7 - (-8)/(-6). Let i be (-182)/39*12/(-14). Find j such that -2/3 + 4/3*j**2 + 0*j + 0*j**3 - f*j**i = 0.
-1, 1
Let y be ((6/(-63))/(-1))/(8987/528 - 17). Factor -y + 16/7*z + 2/7*z**3 + 2*z**2.
2*(z - 1)*(z + 4)**2/7
Let k(a) be the first derivative of 11*a**6/180 - 19*a**5/240 + a**4/24 + 6*a**3 - 1. Let f(y) be the third derivative of k(y). Factor f(z).
(4*z - 1)*(11*z - 2)/2
Suppose -3*j - 2*l = -137, -2*l + 48 + 46 = 2*j. Suppose j = 5*n - 67. Solve 7*w + 12*w**4 + 24*w**2 + n*w**3 - 4*w + 4*w**3 + 2*w**5 + 5*w = 0 for w.
-2, -1, 0
Let w(b) be the second derivative of b**4/30 - 26*b**3/15 - 27*b**2/5 - 15*b. Solve w(m) = 0.
-1, 27
Factor 0 - 1/4*x**3 + 14*x**2 - 196*x.
-x*(x - 28)**2/4
Let q = -2313 - -2318. Solve 0*j - 9/8*j**3 - 3/8*j**2 + 0 - 9/8*j**4 - 3/8*j**q = 0.
-1, 0
Let k = 26 - 26. Suppose 4*j = -5*n + 23, -2*j + 13 = -k*j + 3*n. Factor 0*z + 0*z**j + 1/6*z**4 + 1/3*z**3 + 0.
z**3*(z + 2)/6
Let t be (-2 - -2)/(6/2). Let p be ((-4)/(-12))/(-5 - -6). Let t - p*o**2 + 