tive of 0*c + s - 1/40*c**6 + 6*c**2 + 1/24*c**4 + 1/12*c**3 - 1/24*c**5. Factor f(t).
-(t + 1)*(2*t - 1)*(3*t + 1)/2
Let t be 576/(-54) + (-4)/6*-1. Let v be ((-105)/t)/(-7) - (-14)/8. Suppose 1/4*c**3 - 1/4 - v*c + 1/4*c**2 = 0. Calculate c.
-1, 1
Find h, given that 184*h - 6009 - 6535 + 264*h - 4*h**2 = 0.
56
Let f be 1*(-3)/3 - (2 - -4). Let y be (f + 106/14)/((-2)/(-7)). Factor 6/11*t**4 + 2/11*t + 0 + 14/11*t**3 + 10/11*t**y.
2*t*(t + 1)**2*(3*t + 1)/11
Let i = 38 - 265/7. Let l(c) be the first derivative of 0*c**2 - i*c**4 - 2/21*c**3 + 0*c - 2/35*c**5 - 4. Factor l(f).
-2*f**2*(f + 1)**2/7
Let g = 1/646 + 8395/1938. Solve -3*a**4 - 19/3*a**3 + 7/3*a**5 + g*a**2 - 4/3 + 4*a = 0.
-1, 2/7, 1, 2
Let f(m) be the third derivative of -m**7/280 - m**6/40 + 13*m**5/80 + m**4/8 - 3*m**3/2 + 257*m**2. Find b, given that f(b) = 0.
-6, -1, 1, 2
Let d(o) be the second derivative of 2*o**6/75 + 7*o**5/50 - o**4/15 - 13*o**3/15 + 6*o**2/5 + 193*o. Find j such that d(j) = 0.
-3, -2, 1/2, 1
Let r = 294 - 287. Let u(h) be the first derivative of -h**4 + 0*h - 2/3*h**3 - r + 0*h**2 - 2/5*h**5. Factor u(w).
-2*w**2*(w + 1)**2
Suppose o - 5*o + 8 = 0. Let p be 116/(-2 + (0 - -4)). What is r in 7*r**2 + p*r**4 - 26*r**4 - o*r - 27*r**4 - r**5 - 9*r**3 = 0?
0, 1, 2
Factor 25/6*u + 1/6*u**3 + 0 - 5/3*u**2.
u*(u - 5)**2/6
Let a(j) be the first derivative of j**6/540 + 11*j**5/180 - 3*j**3 - 29. Let i(b) be the third derivative of a(b). Factor i(f).
2*f*(f + 11)/3
Let h(n) be the third derivative of n**7/13860 + n**6/1320 - n**4/8 + 8*n**2. Let p(x) be the second derivative of h(x). Factor p(b).
2*b*(b + 3)/11
Let n = 83 - 56. Find s such that 61*s**2 + n*s**2 - 9*s**5 + 32*s**3 - 5*s**5 + 74*s**4 - 164*s**3 - 16*s = 0.
0, 2/7, 1, 2
Let p(o) be the first derivative of -o**4/28 + 5*o**3/14 - 9*o**2/7 - o - 14. Let f(n) be the first derivative of p(n). Determine i so that f(i) = 0.
2, 3
Let s be (-3)/8*((-27600)/252)/23. Let t(d) be the second derivative of 0*d**2 + d**4 + d + 18/5*d**5 + 9/2*d**6 + 0 + s*d**7 + 0*d**3. Solve t(o) = 0 for o.
-1, -2/5, 0
Let j(i) be the third derivative of i**7/4200 + i**6/900 + 23*i**3/6 - 2*i**2. Let n(k) be the first derivative of j(k). Solve n(r) = 0 for r.
-2, 0
Suppose -14 - 4 = -3*s + 3*q, s + 2 = -q. Factor -8*r**4 - s*r**4 + 8*r**2 + 4*r**3 + 0*r**3 - 4*r + 2*r**4.
-4*r*(r - 1)*(r + 1)*(2*r - 1)
Suppose -3*q + 5*d = 6, 7*q - 6 = 3*q + 2*d. Let n(w) be the first derivative of 2 + 1/6*w**q - 1/2*w**2 + 1/2*w. Factor n(x).
(x - 1)**2/2
Let z(k) = 20*k**3 - 16*k**2 - 12*k - 24. Let w(h) = -h**3 + h**2 + 1. Suppose -3*p = 15, -l + 9 + 32 = -5*p. Let s(f) = l*w(f) + z(f). Factor s(b).
4*(b - 2)*(b + 1)**2
Suppose 3*f = f + 14. Let d = f - 3. Determine q so that -q + 0*q - q**5 - 35*q**2 + 0*q**4 - 6*q**3 + 31*q**2 - 4*q**d = 0.
-1, 0
Let c(b) be the second derivative of b**5/480 + b**4/24 + b**3/3 - 23*b**2/2 - 35*b. Let s(z) be the first derivative of c(z). Suppose s(i) = 0. Calculate i.
-4
Suppose -27 = -3*f + 27. Let d be ((-4)/(-12))/(2/f). Factor 3*x**4 - 10*x**3 + 3*x**2 + 9*x**d + 7*x**3.
3*x**2*(x + 1)**2
Let s(f) = f**2 - f - 2. Let a(x) = 5*x**2 - 4*x - 9. Let y(o) = o**3 - 5*o**2 - 2. Let w be y(5). Let c(l) = w*a(l) + 9*s(l). Solve c(g) = 0.
-1, 0
Let u(c) be the second derivative of c**6/90 - 13*c**5/60 + 5*c**4/4 + 25*c**3/18 - 125*c**2/3 - 231*c. Let u(y) = 0. Calculate y.
-2, 5
Let v(d) = d**4 + 2*d**3 + d**2 - d. Let b(h) = 12*h**2 + 11*h - 36. Let y(f) = -b(f) + v(f). Suppose y(g) = 0. Calculate g.
-3, 2
Factor 3232 - 4*t**2 + 14*t - 3052 + 34*t.
-4*(t - 15)*(t + 3)
Let x = 11 - 8. Suppose z - 3*v + 11 = -6*v, -3*z + 27 = -x*v. Find a such that -12*a**3 - 3*a**z - 2*a**5 + 4*a**3 + 7*a**3 = 0.
-1, -1/2, 0
Suppose 4*l = -y - 1, 5*l + 5*y - 13 = 3*l. Let d be (-3 - l) + (-2 - (-32)/8). Factor d + 3/2*k + 9/4*k**3 + 15/4*k**2.
3*k*(k + 1)*(3*k + 2)/4
Let h be ((-1)/(-4))/((-1)/(-20)). Suppose -5*a = h*n - 255, 0*a - 4*a + 104 = 2*n. Determine q, given that -2*q + 52*q**2 + 0*q - n*q**2 = 0.
0, 1
Find f, given that 0 + 12/5*f - 11/5*f**2 - 1/5*f**3 = 0.
-12, 0, 1
Let x = -490 + 492. Factor 1/3*k**x - 1/3*k + 0.
k*(k - 1)/3
Solve 13*o + 0*o**2 + 11*o**2 - 15 + 4*o**2 - 3*o**3 - 10*o = 0.
-1, 1, 5
Let f(b) = -b**2 - 5*b - 8. Let u be f(-4). Let z = 6 + u. Suppose -4 + h**2 - 3*h**2 - h**z + 4*h**2 = 0. What is h?
-2, 2
Let a be -1*(0 - -1)*-2. Let 5*t - 40*t**4 + 22*t**3 - 40*t**3 - 6*t**3 - 26*t**3 - 5*t**a = 0. What is t?
-1, -1/2, 0, 1/4
Let i = 17677327/231 - 76525. Let p = i + 2/33. Solve -10/7*c**2 + 6/7*c**4 + p*c**3 + 4/7 - 2/7*c = 0.
-1, 2/3, 1
Let q(x) = 6*x**3 + x**2 - 5*x. Let p be ((-1)/(-1))/((-1)/(-35)). Let j(i) = -i**3 + i. Let u(s) = p*j(s) + 5*q(s). Factor u(d).
-5*d*(d - 2)*(d + 1)
Factor -22 + 68*u - 7 - 11 - 14*u**2 - 8.
-2*(u - 4)*(7*u - 6)
Suppose 4/3*k**5 - 16/3 - 20/3*k**3 + 4/3*k**4 + 32/3*k - 4/3*k**2 = 0. Calculate k.
-2, 1
Suppose -52*y + 43*y = -45. Factor 4/3*r**3 + 0 + 0*r**2 + 1/3*r**y - 4/3*r**4 + 0*r.
r**3*(r - 2)**2/3
Let q(b) = -2*b + 4*b + 8*b**2 - 6*b**2 + 2. Suppose v + 1 = -1. Let w(c) = 2*c**2 + 2*c + 3. Let h(t) = v*w(t) + 3*q(t). Solve h(j) = 0 for j.
-1, 0
Let i(a) be the second derivative of -a**6/21 + 3*a**5/70 + 2*a**4/7 + 4*a**3/21 + a + 6. Solve i(l) = 0.
-1, -2/5, 0, 2
Let c(d) be the first derivative of -d**5/300 + d**4/40 - 4*d**2 + 23. Let t(a) be the second derivative of c(a). Factor t(x).
-x*(x - 3)/5
Let t be 5 + (-1)/(3/15). Let y(i) be the first derivative of -3 + 2/3*i**3 + 1/2*i**4 + t*i - 2*i**2. Find g such that y(g) = 0.
-2, 0, 1
Suppose -5*d + 4*g + 4 = 0, -5*d - 8*g + 5 = -13*g. Determine h so that d + 1/2*h**2 + h = 0.
-2, 0
Let 78*x**2 + 733*x - 160 - 46*x**2 - 46*x**2 - 169*x = 0. Calculate x.
2/7, 40
Let l(n) = -n**4 + 3*n**3 - 7*n - 6. Let k(j) = 3*j**3 - 5*j - 4. Let t(h) = -3*k(h) + 2*l(h). What is p in t(p) = 0?
-1, 0, 1/2
Let v(n) be the second derivative of n**4/36 + 5*n**3/6 + 7*n**2/3 + 82*n. Factor v(w).
(w + 1)*(w + 14)/3
Let v(d) be the second derivative of -d**6/6 + 5*d**5/2 - 125*d**4/12 - d - 58. Determine j so that v(j) = 0.
0, 5
Let s(p) = -p**3 + 5*p**2 - 3*p + 1. Let k be s(4). Suppose -1 - k = -2*c. Factor 7 - c + 0 - 2*b - 6*b**2.
-2*(b + 1)*(3*b - 2)
Let h(g) be the second derivative of -g**7/2520 + g**5/120 - g**4/3 - g. Let o(j) be the third derivative of h(j). Find n such that o(n) = 0.
-1, 1
Suppose 203 = -3*b + 7*b - 3*o, 148 = 3*b + 2*o. Let d be 10/b + 12/(-5) - -3. Suppose d + 4/5*k + 1/5*k**2 = 0. What is k?
-2
Let a be 267/(-15) + (-2)/10. Let m = a - -27. What is z in -25*z**2 + 10 - 4*z + m*z**2 + 2 = 0?
-1, 3/4
Let n(z) be the first derivative of -z**5/5 - 7*z**4/4 + 5*z**3/3 + 75*z**2/2 - 24. Find h, given that n(h) = 0.
-5, 0, 3
Let h = 21 - 19. Suppose 5*l + 11 = -o, 3*l = 3*o - 0*o - 21. Factor o*i + 8 + i**h + 0*i**2 - 5.
(i + 1)*(i + 3)
Let l(k) = k**4 - 8*k**2 - 3*k + 7. Let r(s) = 3*s**2 + 11*s**2 + 4*s - 6*s**2 - 8. Let u(p) = -4*l(p) - 3*r(p). Determine h, given that u(h) = 0.
-1, 1
Factor 5*s**4 - 6073*s + 6013*s - 14*s**2 + 94*s**2 - 35*s**3.
5*s*(s - 3)*(s - 2)**2
Find n, given that 0 - 1/3*n**4 + 13*n - 11/3*n**3 + 29/3*n**2 = 0.
-13, -1, 0, 3
Let v(w) be the first derivative of -w**8/2016 - w**2 - 9. Let j(p) be the second derivative of v(p). Solve j(q) = 0.
0
Let t = 29 - 28. Factor 0 + 3 - t - b - 4 + b**2.
(b - 2)*(b + 1)
Let g(y) = 4*y - 6. Let b be g(3). Let d = 9 + b. Factor 10*n**2 - n**4 + 9*n**4 - d*n**3 - 4*n**4 + n**4.
5*n**2*(n - 2)*(n - 1)
Determine a so that 0*a + 0 + 58/5*a**2 + 2/5*a**3 = 0.
-29, 0
Suppose 0 = -4*m - d + 3, m - 3*d + 3 = -4*d. Let f be ((-15)/9 - -7)*1. Factor -f*c - 2/3*c**m - 32/3.
-2*(c + 4)**2/3
Let b(f) = f**2 - 25*f + 24. Let i(d) = 9 + 14 + 0*d**2 - 25*d + 8*d**2 - 6*d**2. Let w(k) = 3*b(k) - 4*i(k). Factor w(p).
-5*(p - 4)*(p - 1)
Let z(u) be the second derivative of -1/12*u**5 + 25/72*u**4 + 1/180*u**6 + 0*u**3 + 13*u + 0*u**2 + 0. Factor z(o).
o**2*(o - 5)**2/6
Factor -15*o + 0*o**4 + 27*o**2 - 3*o**3 - 6*o**3 - 3*o**4.
-3*o*(o - 1)**2*(o + 5)
Let l be -4*(237/(-790) - 14/20). Factor -16/13*g + 6/13*g**l + 8/13*g**2 + 0 + 20/13*g**3.
2*g*(g + 2)**2*(3*g - 2)/13
Factor -149079*b**4 + 149059*b**4 + 48*b**3 + 11*b**2 + 33*b**2 - 24*b.
-4*b*(b - 3)*(b + 1)