 2148*p - 4959. Let y(d) = -15*d**2 - 134*d + 310. Let g(q) = 2*x(q) + 33*y(q). Factor g(l).
-3*(l - 2)*(5*l + 52)
Let g be 35/112 - 19/(-912). Find u such that 4/3 - g*u**3 - 4/3*u**2 + 1/3*u = 0.
-4, -1, 1
Let a(v) = -358*v - 1070. Let l be a(-3). Factor -3*o**2 - l*o - 1/2*o**3 + 0.
-o*(o + 2)*(o + 4)/2
Let k be (80/60)/((32/(-3))/(-4)). Suppose k*w**3 + 0 + 1/2*w**4 + 0*w + 0*w**2 = 0. What is w?
-1, 0
Let b(l) be the second derivative of l**5/5 + 19*l**4 + 522*l**3 - 1682*l**2 + 28*l. Factor b(s).
4*(s - 1)*(s + 29)**2
Suppose 0 - 3*b**3 + 27/5*b**2 - 13/5*b + 1/5*b**4 = 0. What is b?
0, 1, 13
Let d = 16868 + -16865. Factor 2/9*j**5 + 0*j**4 - 8/9*j**d - 4/9*j**2 + 4/9 + 2/3*j.
2*(j - 2)*(j - 1)*(j + 1)**3/9
Let g be 3*((-3)/4 - 17/(-12)). Suppose 3*y + 2*k = g*y, 4*k = 0. Factor 0*l + y - 2/11*l**2.
-2*l**2/11
Let a(q) be the third derivative of -q**6/270 - q**5/5 - 28*q**4/9 + 392*q**3/27 + 2*q**2 + 30. Factor a(d).
-4*(d - 1)*(d + 14)**2/9
Let r(j) be the third derivative of 0 + 0*j**4 + 0*j + 1/40*j**6 + 6*j**2 + 0*j**3 - 1/10*j**5. Let r(x) = 0. Calculate x.
0, 2
Let g be ((-6)/(-8))/((-9)/(-432)). Let h = g - 33. What is j in 0 - 1/7*j**4 + 2/7*j + 1/7*j**2 - 2/7*j**h = 0?
-2, -1, 0, 1
Let r(t) be the first derivative of 0*t - 4/25*t**5 - 3/5*t**4 - 4/5*t**3 - 2/5*t**2 + 5. Factor r(x).
-4*x*(x + 1)**3/5
Let q = 453 + -449. Let f(d) be the third derivative of 0 - 1/180*d**5 + 1/12*d**q + 6*d**2 + 0*d - 1/2*d**3. Factor f(g).
-(g - 3)**2/3
Let v(z) be the third derivative of 0 + 1/15*z**5 + z**2 + 0*z**3 + 0*z + 1/2*z**4. Factor v(s).
4*s*(s + 3)
Let p(d) be the third derivative of d**6/72 + d**5/8 + d**3 - 18*d**2. Let k(i) be the first derivative of p(i). Factor k(f).
5*f*(f + 3)
Let z be 8/3 - (-3)/9. Let p = -740/17 + 2288/51. Determine y so that -2/3*y**z + 0*y**2 + p + 2*y = 0.
-1, 2
Let u(k) be the third derivative of -22*k**2 + 0*k + 2/105*k**7 - 7/30*k**6 + 0 + k**5 + 8/3*k**3 - 13/6*k**4. Determine v, given that u(v) = 0.
1, 4
Suppose 3*g - 15 = -4*l, 2*g = l - g. Suppose 0 = -5*h + l + 17. Solve 1/2*d**h + 1/2*d**3 + 0 + 0*d**2 + 0*d = 0.
-1, 0
Let o(h) = 2*h**3 + 8*h**2 + 6*h - 12. Suppose 0 = -3*f + 6, 0*a - 3*f = a - 10. Let n(k) = -k. Let p(m) = a*n(m) + o(m). What is j in p(j) = 0?
-3, -2, 1
Let l = -296/5 - -60. Let u = 1300 + -1296. Factor -7/5*v**4 - u*v**2 + 23/5*v**3 + 0 + l*v.
-v*(v - 2)*(v - 1)*(7*v - 2)/5
Factor -165*z - 1320 + 52 - 171*z - 5*z**3 - 130*z**2 - 172 - 624*z.
-5*(z + 2)*(z + 12)**2
Factor 8*r - 4*r + 36 + 21*r**2 - 52*r - 3*r**3.
-3*(r - 3)*(r - 2)**2
Let f be ((-189)/36 + 10 - 5)/(0 - 1). Factor -3/4*t + 1/2*t**2 + 1/4 + f*t**5 + 1/2*t**3 - 3/4*t**4.
(t - 1)**4*(t + 1)/4
Let m(i) be the second derivative of -i**4/12 - 5*i**3/8 + i**2/2 - 72*i. Find n such that m(n) = 0.
-4, 1/4
Solve -47 - 48*w**3 - 2*w**5 - 5*w**4 - 5*w**4 - 46*w - 68*w**2 + 35 - 6*w**4 = 0 for w.
-3, -2, -1
Let a(h) be the first derivative of 1/4*h**3 + 21/8*h**2 + 15/2*h - 22. Factor a(z).
3*(z + 2)*(z + 5)/4
Suppose 5*m = 20, o = 4*m - 2*m + 23. Suppose -o + 1 = -5*r. Solve 8*c**2 - 16 - 8*c**3 + 56*c - 4*c**2 - r*c**3 = 0 for c.
-2, 2/7, 2
Suppose -4*z + 3*z = -2. Let s be ((-12)/(-21))/(8/28). Find k, given that -2*k + k - 5*k + 2 - s*k**3 - 3*k**z + 9*k**2 = 0.
1
Factor 2/7*z**2 + 22/7*z + 20/7.
2*(z + 1)*(z + 10)/7
Let t(k) = -3*k**4 - 2*k**3 - 9*k**2 + 6*k. Let v(j) = -2*j**4 - 2*j**3 - 7*j**2 + 5*j. Let u(s) = 3*t(s) - 4*v(s). Let u(x) = 0. What is x?
-1, 0, 1, 2
Factor 0 - 2/7*j**3 + 1/7*j**5 + 0*j**4 + 1/7*j + 0*j**2.
j*(j - 1)**2*(j + 1)**2/7
Suppose 6*k + 1 = 13. Let h be (-200)/(-70) + k/14. Suppose -2 + 8*t**2 + 2*t + 10*t**h + 4*t**4 + 2 = 0. Calculate t.
-1, -1/2, 0
Solve 0 + 1/4*l**5 - 6*l**2 + 3/2*l**4 + 5/4*l**3 - 9*l = 0.
-3, -2, 0, 2
Let w(j) be the first derivative of -j**6/4 - 33*j**5/10 - 63*j**4/8 + 31*j**3/2 + 75*j**2/2 - 72*j - 467. Find x, given that w(x) = 0.
-8, -3, -2, 1
Let q(m) be the first derivative of -1/14*m**4 + 0*m**2 - 2/21*m**3 - 15 + 0*m. What is d in q(d) = 0?
-1, 0
Let j(n) = n**2 + 36*n - 136. Let a be j(-42). Let k be (-1)/(-2) + a/56. Factor 2/7*v**2 - 12/7*v + k.
2*(v - 3)**2/7
Suppose -233 = -223*z + 213. Suppose 0 = -2*f + 5*f + p - 8, f = -2*p + 1. Factor -16/7 + i**z + 1/7*i**f + 8/7*i.
(i - 1)*(i + 4)**2/7
Let m(g) = g**2 + 3*g + 2. Let b be m(-1). Suppose b*w - 2*w + 3*l - 11 = 0, 2*w - 9 = -l. Suppose -4*j**2 + j**2 + 3*j**2 - 5*j**3 + 5*j**w = 0. What is j?
0, 1
Let c = 2563 - 2560. Factor 0*k**2 - 3*k**4 + 0*k + 3/2*k**5 + 3/2*k**c + 0.
3*k**3*(k - 1)**2/2
Let r(s) be the second derivative of -s**6/3780 + s**5/252 - s**4/42 + 3*s**3 - 3*s. Let l(c) be the second derivative of r(c). Factor l(b).
-2*(b - 3)*(b - 2)/21
Let c be ((-455)/(-780))/(1/18) - 10. Factor -3/2*a + 1 + c*a**2.
(a - 2)*(a - 1)/2
Factor 12/23 + 22/23*j + 2/23*j**3 + 12/23*j**2.
2*(j + 1)*(j + 2)*(j + 3)/23
Let -279/2*n**3 + 69/2*n**2 + 6*n**4 + 0*n + 0 = 0. Calculate n.
0, 1/4, 23
Let r(u) be the first derivative of u**4/4 - 2*u**3/3 - 12*u**2 - 117. Factor r(v).
v*(v - 6)*(v + 4)
Let x(g) be the first derivative of 4*g**2 - 18 + 19/3*g**3 + 7/4*g**4 - 4*g. Let x(i) = 0. Calculate i.
-2, -1, 2/7
Suppose -3*o - 4*g + 9 = 0, 3*g - 13 + 4 = -3*o. Let q(v) be the second derivative of 0 + 0*v**o + 5*v + 0*v**2 + 1/24*v**4. Let q(z) = 0. Calculate z.
0
Suppose 0 = -b + 11*b - 30. Suppose b*y**3 - y**3 - 7*y**3 + y**5 - 3*y**4 + 7*y**3 = 0. Calculate y.
0, 1, 2
Let a(h) be the first derivative of 16/27*h**3 + 4/3*h + 1/18*h**4 - 26 + 13/9*h**2. Factor a(j).
2*(j + 1)**2*(j + 6)/9
Let v(s) = 2*s**2 - 11*s - 12. Let b be v(9). Suppose -9*g = 8*g - b. Factor -8/7*n**2 - 4/7 + 2/7*n**g + 10/7*n.
2*(n - 2)*(n - 1)**2/7
Let h(t) be the second derivative of -t**7/630 - t**6/360 + t**5/180 + t**4/72 + 11*t**2/2 - 8*t. Let q(f) be the first derivative of h(f). Factor q(u).
-u*(u - 1)*(u + 1)**2/3
Let d(n) = 12*n**3 - 44*n**2 + 4*n + 4. Let i(c) = 10*c**3 - 43*c**2 + 3*c + 3. Let s(k) = 3*d(k) - 4*i(k). Factor s(t).
-4*t**2*(t - 10)
Suppose l = -3*m, -31*m = -l - 27*m. Find f, given that 0*f**2 + 4/5*f**4 + l + 0*f + 2/5*f**5 + 0*f**3 = 0.
-2, 0
Let q(f) be the first derivative of 2*f**7/63 + 11*f**6/90 + f**5/12 - f**4/18 + 11*f - 26. Let d(w) be the first derivative of q(w). Find t such that d(t) = 0.
-2, -1, 0, 1/4
Let t(w) be the third derivative of -w**5/90 - 5*w**4/36 + 14*w**3/9 + 12*w**2 - 3*w. Factor t(f).
-2*(f - 2)*(f + 7)/3
Suppose -1 = -4*b - 0*u - 5*u, 2 = -2*b - 2*u. Let i be b/4 + 7*(-10)/(-35). Let 1/2*q**3 - q**2 + i*q + 0 = 0. Calculate q.
0, 1
Let i = -456 - -456. Let k(y) be the third derivative of i*y + 0 - 7*y**2 - 1/300*y**5 + 0*y**3 + 0*y**4. Find q such that k(q) = 0.
0
Let s be 165/450 - 10/(-75). Factor -w + 0 + 3/2*w**2 - s*w**3.
-w*(w - 2)*(w - 1)/2
Let j(o) = o**3 - o**2 - 5*o + 2. Let g be j(3). Suppose -3*v - 6 = -5*u + 9, -g = -u + v. Let u*d - 8/5 + 6/5*d**2 + 2/5*d**3 = 0. Calculate d.
-2, 1
Let n(k) = 7*k**2 - 2*k - 34. Let q(g) = -6*g**2 + 2*g + 32. Let p(o) = 4*n(o) + 5*q(o). Determine r so that p(r) = 0.
-3, 4
Let s(p) = -p**3 + p**2 + 1. Let t(l) = -5*l**3 + 8*l**2 - 7*l + 8. Let y(b) = 4*s(b) - t(b). Let d be y(3). Factor -d*c**2 - c + 4*c**3 + 1 + 3 + 4 - 3*c.
4*(c - 2)*(c - 1)*(c + 1)
Let h(b) = -4*b**2 - 2*b. Suppose 0 = 5*q + 2*w + 2*w + 2, -5*q = -w - 13. Let s(c) = -9*c**2 - 4*c. Let t(u) = q*s(u) - 5*h(u). Factor t(g).
2*g*(g + 1)
Let d(w) be the first derivative of -w**7/84 - 2*w**6/15 - 11*w**5/20 - w**4 - 3*w**3/4 - 22*w - 20. Let i(y) be the first derivative of d(y). Factor i(f).
-f*(f + 1)**2*(f + 3)**2/2
Suppose 0 = -2*i - 2, 4*k = 3*i - 22 + 25. Factor 1/5*s**3 - 4/5*s**2 + 4/5*s + k.
s*(s - 2)**2/5
Let m(g) be the first derivative of -2*g**3 + 9/14*g**4 + 33/14*g**2 + 3/35*g**5 + 7 - 1/14*g**6 - 9/7*g. Determine k, given that m(k) = 0.
-3, 1
Let g be 2/(-6) + 0 + (-407)/(-33). What is c in -1218 - 16*c - 24*c**2 + 1218 - g*c**3 - 2*c**4 = 0?
-2, 0
Let u(n) be the first derivative of n**4/6 - 14*n**3/9 - 49*n**2/3 + 686*n/3 - 495. Factor u(x).
2*(x - 7)**2*(x + 7)/3
Let k(x) be the second derivative of -x**7/6720 + x**6/320 - 9*x**5/320 + 17*x**4/6 + 2*x. Let d(g) be the third derivative of k(g). Factor d(a).
-3*(a - 3)**2/8
Let f be (22 - 31)*(-2)/6. What is