**6/30 - 43*p**5/10 + 67*p**4/6 - 91*p**3/6 + 23*p**2/2 + 209*p + 1. Factor q(a).
(a - 1)**4*(a + 23)
Let z = 96 + -68. Let -128*l**2 - 130*l**2 - 8 - z*l + 274*l**2 = 0. What is l?
-1/4, 2
Let k(b) = -36*b + 866. Let s be k(24). Let l(w) be the first derivative of -1/16*w**4 - 1/12*w**3 + 4 + 0*w + 0*w**s. Let l(t) = 0. Calculate t.
-1, 0
Solve -184*i - 25588/7*i**2 + 13770/7*i**3 + 13122/7*i**4 - 16/7 = 0 for i.
-2, -2/81, 1
Let d(y) = -y**3 + 8*y**2 + 20*y + 3. Let j be d(10). Factor 2/9*f**j + 2*f + 4/3*f**2 + 0.
2*f*(f + 3)**2/9
Let l(f) = -f**3 - 237*f**2 + 9123*f - 118632. Let h(k) = -2*k**3 - 238*k**2 + 9122*k - 118630. Let b(o) = -3*h(o) + 4*l(o). Factor b(j).
2*(j - 39)**3
Suppose -9 = 72*w - 75*w. Suppose 4*v = v - b + 8, v - w*b = 6. Determine i, given that 4/15 + 4/15*i**2 + 2/3*i - 8/15*i**v - 2/15*i**5 - 8/15*i**4 = 0.
-2, -1, 1
Let -2592/11 - 2/11*q**2 - 144/11*q = 0. What is q?
-36
Let r(j) be the second derivative of -j**4/60 + 29*j**3/30 - 88*j. Factor r(i).
-i*(i - 29)/5
Let t be (220/(-30) - -8)*6/28*2. Determine h, given that 2/7 + t*h**5 + 4/7*h**2 - 6/7*h + 4/7*h**3 - 6/7*h**4 = 0.
-1, 1
Let a(m) be the third derivative of 0 + 0*m**3 + 0*m - 1/420*m**6 + 1/210*m**5 + 5*m**2 - 1/735*m**7 + 1/84*m**4. Factor a(y).
-2*y*(y - 1)*(y + 1)**2/7
Let v be 3 - 2 - (-4)/(-8). Solve -c - 1/2 - v*c**2 = 0.
-1
Find u, given that -2/15*u**2 + 4/15*u + 0 - 2/15*u**3 = 0.
-2, 0, 1
Let d(v) be the first derivative of v**8/560 + v**7/14 + 5*v**6/4 + 25*v**5/2 + 625*v**4/8 + 3*v**3 + 7. Let f(u) be the third derivative of d(u). Factor f(y).
3*(y + 5)**4
Let r(u) be the second derivative of 2*u**6/15 + 18*u**5/5 + 68*u**4/3 + 20*u**3 - 234*u**2 - 3*u - 23. Factor r(w).
4*(w - 1)*(w + 3)**2*(w + 13)
Let y = 283 - 279. Let k(b) be the third derivative of 1/8*b**4 - b**3 + 0*b + 0 + 3/20*b**5 - 1/70*b**7 - y*b**2 - 1/40*b**6. Suppose k(x) = 0. What is x?
-2, -1, 1
Let v be 38/14 + (-1 - (-18)/14). Solve 0*b**2 - 4*b**2 - 27*b**v + 25*b**3 + 2*b**5 + 4*b**4 + 0*b**5 = 0.
-2, -1, 0, 1
Let a be -31 + 24 - (57/(-6) + 1). Suppose a*u**4 - u + 0 + u**3 - 3/2*u**2 = 0. Calculate u.
-1, -2/3, 0, 1
Suppose 26*r = 21*r + 10. Let t(y) be the second derivative of 0 - 1/2*y**3 - y**r + 2*y - 1/12*y**4. Factor t(m).
-(m + 1)*(m + 2)
Find y such that 75 + 26*y - 5*y**2 + 26 - 36*y - 69 + 143 = 0.
-7, 5
Let t = 593/87 + -188/29. Suppose 4/3 + 0*d - t*d**2 = 0. What is d?
-2, 2
Let n be (-11 - 1360/187) + 19. Factor -2/11*q**2 + 0 + 0*q + n*q**3.
2*q**2*(4*q - 1)/11
Suppose 0 = 25*j - 73 - 52. Let w(s) be the third derivative of 0*s**3 + 1/315*s**7 + 0*s + 1/90*s**5 + 0*s**4 + j*s**2 + 0 - 1/90*s**6. What is u in w(u) = 0?
0, 1
Let o(s) be the first derivative of -s**5/114 - 17*s**4/228 - 2*s**3/19 + 2*s**2 + 11. Let v(h) be the second derivative of o(h). Factor v(i).
-2*(i + 3)*(5*i + 2)/19
Let q(y) be the second derivative of 0 + 0*y**2 + 0*y**3 - 1/50*y**5 - 1/10*y**4 - 13*y. Solve q(f) = 0.
-3, 0
Let w(c) be the second derivative of 0*c**2 + 0 + 1/15*c**4 - 2/75*c**6 - 1/30*c**3 + 12*c + 1/100*c**5. What is g in w(g) = 0?
-1, 0, 1/4, 1
Let t(x) be the third derivative of -1/48*x**4 + 1/150*x**5 + 0*x + 1/60*x**3 + 8*x**2 + 0. Find g such that t(g) = 0.
1/4, 1
Let o(y) be the first derivative of y**7/42 + y**6/24 - y**5/12 - 5*y**4/24 - 14*y**2 + 23. Let b(r) be the second derivative of o(r). What is d in b(d) = 0?
-1, 0, 1
Let 6*t + 2/3*t**3 + 4*t**2 + 8/3 = 0. Calculate t.
-4, -1
Determine f so that -4*f + 96/5*f**3 + 8*f**4 + 24/5*f**2 + 0 - 12/5*f**5 = 0.
-1, 0, 1/3, 5
Let i(z) = 35*z**3 + 13*z**2 - 7*z - 3. Let x(l) = -240*l**3 - 92*l**2 + 48*l + 20. Let j(u) = 20*i(u) + 3*x(u). Let j(n) = 0. Calculate n.
-1, 0, 1/5
Let c(v) = -4*v**3 + 3*v**2 - 2*v - 6. Let g = 48 - 45. Let k(q) = 3*q**3 - 3*q**2 + q + 5. Let a(d) = g*k(d) + 2*c(d). Factor a(j).
(j - 3)*(j - 1)*(j + 1)
Let t(o) be the second derivative of 0*o**2 - 1/20*o**5 + 2*o - 1/12*o**3 + 0 + 1/120*o**6 + 5/48*o**4. Determine u, given that t(u) = 0.
0, 1, 2
Factor -100*a - a**2 + 259*a - 80*a - 109*a + 31.
-(a - 1)*(a + 31)
Let k(j) be the first derivative of j**3/9 + 140*j**2/3 + 19600*j/3 + 489. Suppose k(q) = 0. What is q?
-140
Let f be ((-10)/(-35) + 18/(-14))*-2. Find b such that 5/3*b**f + 1/3*b**4 - 4/3*b**3 - 2/3*b + 0 = 0.
0, 1, 2
Let z(i) be the first derivative of 5*i**4/4 + 10*i**3/3 - 10*i**2 - 40*i + 44. Factor z(c).
5*(c - 2)*(c + 2)**2
Let p(g) = 5*g**3 - 5*g**2 + 48*g - 39. Let m(i) = -28*i**3 + 31*i**2 - 287*i + 233. Let j(q) = -6*m(q) - 34*p(q). Factor j(a).
-2*(a - 3)*(a - 1)*(a + 12)
Let d(y) be the second derivative of y**4/42 - 4*y**3/3 - 60*y**2/7 + 15*y + 2. Factor d(n).
2*(n - 30)*(n + 2)/7
Factor -9/2*y**3 + 3*y**2 - 3/4*y + 0 - 3/4*y**5 + 3*y**4.
-3*y*(y - 1)**4/4
Let b(j) be the first derivative of 0*j - 3/2*j**2 + 2*j**3 - 25 + 0*j**4 + 1/2*j**6 - 6/5*j**5. What is a in b(a) = 0?
-1, 0, 1
Let x(v) be the third derivative of v**6/72 + v**5/12 + 5*v**4/24 + 5*v**3 - 36*v**2. Let i(m) be the first derivative of x(m). Factor i(g).
5*(g + 1)**2
Suppose -4 = z, 2*h + 105 = -5*z + 17. Let c = -15 - h. Suppose 6 + 2*f**2 + 12 - 7*f + c*f = 0. What is f?
-3
Let b(l) = l**2 + 8*l - 1662. Let a be b(37). Suppose 0*r + 0*r**2 - 2/5*r**4 - 12/5*r**a + 0 = 0. What is r?
-6, 0
Let q(v) = -14*v**3 + 2*v + 42*v**4 - 38*v**4 - 2 - 1 + 5. Let b(s) = -3*s**4 + 13*s**3 + s**2 - 3*s - 3. Let c(r) = 6*b(r) + 5*q(r). Find u such that c(u) = 0.
-2, -1, 1
Let q(c) be the second derivative of -c**5/90 + 2*c**4/27 + 5*c**3/27 - c - 19. Factor q(g).
-2*g*(g - 5)*(g + 1)/9
Let t(z) = 19*z**2 + 606*z - 30570. Let x(a) = -7*a**2 - 202*a + 10189. Let l(j) = 4*t(j) + 11*x(j). Let l(h) = 0. Calculate h.
101
Suppose 0 = 4*m - 3*r - 8, -m + 5*r + 10 = 4*m. Let y(j) be the second derivative of 2*j**m - 1/3*j**3 + 1/10*j**5 + 0 - 1/3*j**4 + 12*j. Factor y(i).
2*(i - 2)*(i - 1)*(i + 1)
Let -9/5 - 8/5*g**4 - 156/5*g**3 - 441/10*g**2 - 163/10*g = 0. What is g?
-18, -1, -1/4
Let s(z) be the second derivative of z**7/1260 - z**6/540 - z**5/90 - 19*z**3/6 + 34*z. Let f(t) be the second derivative of s(t). Factor f(c).
2*c*(c - 2)*(c + 1)/3
Find n such that -1024/3 - 64/3*n - 1/3*n**2 = 0.
-32
Suppose 0 = 4*j + 5*r - 103, 5*j + r - 132 = -2*r. Suppose -5*m + 5 = b, -21 - j = -5*b - 2*m. Let 0*f**2 - 10*f + 2 - 28*f**2 + 6 - b*f = 0. What is f?
-1, 2/7
Let 0*n - 4/5*n**2 - 2/5*n**3 + 0 = 0. Calculate n.
-2, 0
Let n = 937 - 935. Let p(h) be the second derivative of 7*h - 1/9*h**3 + 0 + 1/90*h**6 + 0*h**4 - 1/6*h**n + 1/30*h**5. Factor p(m).
(m - 1)*(m + 1)**3/3
Let v(t) = -8*t - 25. Let d be v(-17). Find y, given that 4 - 4 - d*y**4 + y**2 - 2*y + 110*y**4 + 2*y**3 = 0.
-1, 0, 1, 2
Let v(n) be the third derivative of n**8/280 + 23*n**7/525 + 17*n**6/75 + 16*n**5/25 + 16*n**4/15 + 16*n**3/15 + 4*n**2 - 15. What is o in v(o) = 0?
-2, -1, -2/3
Let i(a) be the second derivative of -a**4/12 + 43*a**3/3 + 2*a + 7. Determine o, given that i(o) = 0.
0, 86
Let m = -10 - -19. Suppose 3*p + 1 - m = x, 0 = 2*p - 2*x - 8. Factor -31*d**2 - 6 + 51*d + 48*d**3 - 91*d**2 + p*d**2.
3*(d - 2)*(4*d - 1)**2
Let y(d) = d**3 + d**2 + d - 4. Let z(u) = -18*u**2 - 9*u + 24. Let j(l) = -3*y(l) + z(l). Let j(g) = 0. Calculate g.
-6, -2, 1
Solve 81/2*l + 0 - 117/2*l**2 + 39/2*l**3 - 3/2*l**4 = 0.
0, 1, 3, 9
Let c = 213 - 210. Let o(n) be the third derivative of 2*n**2 + 1/240*n**5 + 5/96*n**4 + 0*n - 1/24*n**c + 0 - 1/96*n**6. Solve o(g) = 0.
-1, 1/5, 1
Let k = -10 - -12. Factor 8*j - 14*j**k + 12 - 4 + 3*j**3 + j**3.
2*(j - 2)**2*(2*j + 1)
Let f(j) be the first derivative of 4 - 8/3*j**3 + 0*j**2 - 6*j + 1/15*j**6 + 2*j**4 - 3/5*j**5. Let h(d) be the first derivative of f(d). Factor h(i).
2*i*(i - 2)**3
Solve 8*v - 4 + 3 - 36*v - 23 - 4*v**2 = 0 for v.
-6, -1
Let r(f) be the first derivative of -f**6/30 - 13*f**5/25 - 14*f**4/5 - 16*f**3/3 + 457. Find b, given that r(b) = 0.
-5, -4, 0
Let w(f) be the second derivative of -25*f - 1/15*f**6 + 2*f**4 - 32/3*f**3 + 0 - 64*f**2 + 2/5*f**5. Find n, given that w(n) = 0.
-2, 4
Let y be 4 + (-11 + 13)/(0 - 2). Let u(x) be the first derivative of 1/2*x**6 + 15/2*x**2 + 10*x**3 + 15/2*x**4 - 6 + y*x + 3*x**5. Factor u(z).
3*(z + 1)**5
Let u(c) be the third derivative of -3*c**5/20 + 7*c**4/8 - c