of c**7/945 - c**6/270 - 11*c**5/270 + c**4/9 + 4*c**3/3 + 2*c**2 + 17. Factor g(y).
2*(y - 3)**2*(y + 2)**2/9
Let a(t) be the first derivative of 1/3*t**3 - t**2 + 20 - 15*t. Factor a(d).
(d - 5)*(d + 3)
Suppose -6*p + 2*p = -76. Suppose -48*t - 12*t + 68 = -52. Suppose p - 3*v**t + 4*v - 11*v + v + 5 = 0. What is v?
-4, 2
Let z(f) be the second derivative of 1/405*f**6 + 3/2*f**3 - 1/90*f**5 + 1/54*f**4 + 0 + 0*f**2 - 16*f. Let r(t) be the second derivative of z(t). Factor r(c).
4*(c - 1)*(2*c - 1)/9
Suppose -2*l - 65 = -5*c - 40, 17 = 4*c - l. Let 0 - 1/2*s**4 - 31/2*s**2 + 21/2*s + 11/2*s**c = 0. What is s?
0, 1, 3, 7
Let p(u) be the second derivative of -u**5/40 + 15*u**4/8 + 313*u**3/12 - 357*u**2/4 + 4115*u. Find o such that p(o) = 0.
-7, 1, 51
Suppose 4*y + 48 = 300. Let i be 6/(-5)*(8 + y/(-6)). Determine r, given that -2*r**2 + 48*r**3 - 2*r**2 - 12*r**5 + 12*r**3 - 34*r**i - 10*r**4 = 0.
-2, 0, 1/6, 1
Factor -247*b + 82*b - 232*b + 61*b - 176 + 319*b**2 - 67*b**2 - 20*b**3.
-4*(b - 11)*(b - 2)*(5*b + 2)
Let s(c) be the third derivative of 0*c**4 - 59*c**2 + 0*c**6 + 1/525*c**7 + 0*c - 1/150*c**5 + 0*c**3 - 1. Factor s(t).
2*t**2*(t - 1)*(t + 1)/5
Let a be -23*96/7176 - 82/(-182). Factor 6/7*f**2 + a*f**3 + 8/7*f + 0.
f*(f + 2)*(f + 4)/7
Determine s, given that 3076 - 2026 + 760*s**2 - 1686 + 757*s - 882 + s**3 = 0.
-759, -2, 1
Suppose 2*i = 7*i - 125. Suppose 28*u - i*u = 6. Find x such that -96/13*x**u - 18/13*x**5 - 2*x**3 + 32/13 + 84/13*x**4 + 24/13*x = 0.
-2/3, 1, 4
Let p = 13763/12 - 7381/4. Let z = p - -699. Let 5/6 - 1/6*y**4 - z*y**2 - y + y**3 = 0. What is y?
-1, 1, 5
Let u(d) be the third derivative of 7/720*d**6 - 2*d**2 + 0 + 5/36*d**4 + 2*d - 1/1260*d**7 - 2/9*d**3 - 1/20*d**5. Factor u(m).
-(m - 2)**3*(m - 1)/6
Let g(a) be the third derivative of a**6/1800 - a**5/300 + 17*a**3/2 - 7*a**2 - 4*a. Let b(y) be the first derivative of g(y). Factor b(n).
n*(n - 2)/5
Suppose -5*i - s = -85, i - 28 + 11 = 2*s. Let v be ((102/28)/i)/(4/14). Factor 1/4*r**2 + 1/2 + v*r.
(r + 1)*(r + 2)/4
Let c(x) = -70*x**3 + 110*x**2 + 1425*x + 945. Let o(k) = 31*k**3 - 49*k**2 - 632*k - 420. Let l(f) = 11*c(f) + 25*o(f). Factor l(n).
5*(n - 7)*(n + 1)*(n + 3)
Let l be 4*(3 - (-1 + -7)). Let h be l + -42 - 30/17. Factor 2/17*d**3 + h*d + 0 + 6/17*d**2.
2*d*(d + 1)*(d + 2)/17
What is n in 841/3*n**2 + 116/3*n**3 + 0 + 0*n + 4/3*n**4 = 0?
-29/2, 0
Let g = 3643 - 3643. Let c(w) be the third derivative of 14*w**2 + 0 + 8/51*w**3 + 1/85*w**5 + 1/17*w**4 + 1/1020*w**6 + g*w. Solve c(u) = 0.
-2
Let t(h) be the second derivative of -h**7/3360 + 61*h**6/480 - 3721*h**5/160 - 17*h**4/4 - 10*h + 2. Let f(d) be the third derivative of t(d). Factor f(j).
-3*(j - 61)**2/4
Let c(q) = q**3 - 24*q + 15. Let w be c(5). Find r such that 3 + 2*r**4 + 6*r**2 + 10 + 4 - 2*r - w*r**2 + 2*r**3 - 5 = 0.
-3, -1, 1, 2
Let b = 749 - 739. Let u be 30/45 - b/18. Let -2/9 + u*q**2 + 1/9*q = 0. What is q?
-2, 1
Let o(w) = 5*w**3 + 19*w**2 - 44*w - 238. Let t(b) = -b**3 + 29. Let k(l) = 5*o(l) + 30*t(l). Suppose k(y) = 0. What is y?
-1, 4, 16
Find b such that -5/4*b**4 - 3545/4*b**2 - 115/2*b**3 - 10125 - 5175*b = 0.
-18, -5
Let d(l) = 5*l**2 + 14*l + 5. Let c be d(-6). Let s = -64 + c. Let -1 - s + 6 + 3*b + 13*b - 2*b**2 = 0. Calculate b.
4
Suppose 959 - 827 = 66*d. Let s(c) be the second derivative of 2/3*c**4 + 1/3*c**3 + 0 + 7/40*c**5 + 21*c + 0*c**d. Factor s(q).
q*(q + 2)*(7*q + 2)/2
Let x(g) be the first derivative of -36*g + 1/3*g**3 + 34 + 7*g**2. Let w(q) = 3*q**2 + 29*q - 72. Let s(i) = 2*w(i) - 5*x(i). Factor s(o).
(o - 6)**2
Let k(a) be the third derivative of -3*a**7/280 + a**6/180 + 43*a**3/3 - 211*a**2. Let i(u) be the first derivative of k(u). Find m such that i(m) = 0.
0, 2/9
Let z(d) be the first derivative of -11*d**2 + 0*d**3 - 17 + 0*d - 1/6*d**4 - 11/30*d**5 - 3/20*d**6. Let k(m) be the second derivative of z(m). Solve k(r) = 0.
-1, -2/9, 0
Suppose 4*n + 4 = 24. Suppose 459 + 41 = n*a. Solve 20 - 54*t**2 + 27*t**2 - 28*t**2 - a*t = 0 for t.
-2, 2/11
Suppose 94*r + 147*r - 3353 + 1343 = -764*r. Factor -21/4 - 1/4*g**r + 11/2*g.
-(g - 21)*(g - 1)/4
Suppose -3*x - l - 2*l = -15, -2*l + 6 = x. Suppose -2*w - 9 = w, -x*m + 2 = 2*w. Factor 2*u**3 + 16*u - 3 + 7 + 7 + 10*u**m - 3.
2*(u + 1)*(u + 2)**2
Let i(q) = 44*q**4 + 276*q**3 - 296*q**2 - 2112*q + 56. Let w(x) = -8*x**4 - 50*x**3 + 54*x**2 + 384*x - 10. Let r(b) = -5*i(b) - 28*w(b). Factor r(a).
4*a*(a - 3)*(a + 4)**2
Let r be ((-10)/7)/((-76)/266). Let p(t) be the third derivative of 1/2*t**3 + 0 + 1/40*t**6 - 1/8*t**4 + 3*t**2 - 1/20*t**r + 0*t. Suppose p(n) = 0. What is n?
-1, 1
Suppose -5*k = -g + 5*g - 49, -2*g - k = -17. Let p be g/(-3)*(-150)/4. Factor 3*a**3 - 31*a + p - 27*a**2 + 29*a + 47*a.
3*(a - 5)**2*(a + 1)
Let l(t) = -6*t**3 + 6*t**2 + 12*t. Let a(z) = z**3 - z. Let n be -5 + (-2 + 192)/5. Suppose -4*d - 1 = -n. Let v(m) = d*a(m) + l(m). Factor v(y).
2*y*(y + 1)*(y + 2)
Find j, given that -2425 + 647779*j + 5488*j**2 + 15*j**3 + 1797*j**2 - 642934*j = 0.
-485, -1, 1/3
Let h(z) = 1779*z - 5. Let m be h(2). Suppose -38*q**2 + m*q**4 + 14*q**5 - 8 - 3507*q**4 - 40*q + 17*q**3 + 9*q**3 = 0. Calculate q.
-2, -1, -2/7, 1
Let o(u) be the first derivative of -5*u**4/4 - 890*u**3/3 + 1795*u**2/2 - 900*u - 1725. Factor o(l).
-5*(l - 1)**2*(l + 180)
Solve -9*p - 768*p**2 - 138*p + 765*p**2 = 0.
-49, 0
Let v be 7*(-312)/102 - (74 - 96). Find h such that 414/17*h**2 + 0 + v*h**3 + 164/17*h = 0.
-41, -2/5, 0
Let y(o) be the second derivative of -1/140*o**5 - 4 - 5/42*o**3 + 1/7*o**2 + 1/21*o**4 + 2*o. Solve y(f) = 0.
1, 2
Let f = -2190/71 - 90274/213. Let x = f + 456. Let 0*s + x*s**3 - 1/3*s**2 + 0 = 0. Calculate s.
0, 1/4
Let q(j) be the second derivative of j**6/30 + 52*j**5/25 + 871*j**4/60 + 364*j**3/15 - 222*j**2/5 - 2*j + 171. What is w in q(w) = 0?
-37, -3, -2, 2/5
Let p(c) be the third derivative of 0*c + 52*c**2 + 32/15*c**5 + 0 + 128/3*c**4 + 0*c**3 + 1/30*c**6. Find z, given that p(z) = 0.
-16, 0
Let x(n) be the first derivative of n**5/20 - 3*n**4/2 - 7*n**2/2 + 2*n + 59. Let j(i) be the second derivative of x(i). Factor j(p).
3*p*(p - 12)
What is s in -12*s**3 - 5546*s**2 + 1762*s**2 - 1530*s - 601*s**2 - 2363*s**2 - 4512 + 12802*s = 0?
-564, 2/3, 1
Let t be 500/(3/(-3 + 6)). Factor -501*p**3 + 5*p + 5 + 3*p**2 + 4*p + t*p**3.
-(p - 5)*(p + 1)**2
Let a(k) be the second derivative of 18*k**2 + 1/120*k**6 - 4*k**3 + 1/10*k**5 + 250*k - 1/6*k**4 + 0. Solve a(r) = 0 for r.
-6, 2
Let s(r) be the first derivative of -1/26*r**4 + 2/39*r**3 - 104 + 0*r + 0*r**2. Factor s(n).
-2*n**2*(n - 1)/13
Let p be (-3)/(-4)*112/42. Let n(b) be the first derivative of 0*b + 1/8*b**4 - 29 + 4/15*b**3 + 1/50*b**5 + 1/5*b**p. Solve n(y) = 0.
-2, -1, 0
Let a = 17048 + -17044. Let t(r) be the second derivative of -1/12*r**3 - 7/20*r**5 - 1/24*r**6 + 0 + r**2 - 11*r - 11/16*r**a. Let t(n) = 0. What is n?
-4, -1, 2/5
Let p = -23972 - -119863/5. Let g(s) be the first derivative of p*s**2 + 5 + 1/15*s**3 + s. Find r, given that g(r) = 0.
-5, -1
Let d(o) be the second derivative of -o**4/30 + 972*o**3/5 - 2125764*o**2/5 + 6*o - 8. Find i such that d(i) = 0.
1458
Find c, given that -1/2*c - 157/8*c**2 + 1/8*c**3 + 157/2 = 0.
-2, 2, 157
Factor 1173*g + 3*g**2 + 3126 - 10250 + 3271 + 2677.
3*(g - 1)*(g + 392)
Let s(x) be the second derivative of -x**6/15 - 117*x**5/10 - 497*x**4/2 - 5047*x**3/3 - 92*x + 34. Factor s(a).
-2*a*(a + 7)**2*(a + 103)
Let z(k) be the first derivative of -55 + 93/2*k**2 + k**3 + 90*k. Solve z(v) = 0 for v.
-30, -1
Let s be (9/(-165))/((-366)/(-610)) + 762/154. Factor 188/7*f**3 - 14 - 380/7*f**2 + 46*f - s*f**4 + 2/7*f**5.
2*(f - 7)**2*(f - 1)**3/7
Factor -1/3*c**2 - 622/3*c - 96721/3.
-(c + 311)**2/3
Let u be 30/(-90) - (-1010)/6. Factor -u*l**2 + 14*l + 6*l + 163*l**2 - 20*l**3 + 5*l**4.
5*l*(l - 4)*(l - 1)*(l + 1)
Let a(h) = -77*h**2 + 1127 - 87*h**2 - 150*h + 165*h**2. Let z(b) = -5*b**2 + 1050*b - 7890. Let c(t) = 15*a(t) + 2*z(t). Factor c(r).
5*(r - 15)**2
Let z = 1/14 - -33/28. Let k = 261466 - 261464. Solve -65/4*w**3 + 0*w**k + 0 + z*w - 15*w**4 = 0 for w.
-1, -1/3, 0, 1/4
Let g be -6 + -42 + -2 + -2. Let t be (-164)/451 + g/(-22). Suppose 9/7 + 6/7*r - 3/7*r**t = 0. Calculate r.
