10*w**4. Factor a(s).
-(s - 4)*(s - 1)**2/5
Let z(a) be the first derivative of 12 + 1/5*a**2 + 0*a**5 + 1/15*a**6 - 1/5*a**4 + 0*a + 0*a**3. Factor z(r).
2*r*(r - 1)**2*(r + 1)**2/5
Factor 22 - 35 - 6*i**2 + 21*i**2 - 5*i**3 - 81 + 120*i + 234.
-5*(i - 7)*(i + 2)**2
Factor 75*i**2 + 2*i**3 + 4*i**3 - 48*i - 21*i**3 + 170*i + 253*i - 3*i**4.
-3*i*(i - 5)*(i + 5)**2
Suppose -c + 17 = 2*b, 7 = -b - c + 18. Let g = b - 4. Find v such that -2*v + 4*v + 2*v - 2*v + g*v**2 = 0.
-1, 0
Factor 0 + 0*f**2 - 44*f**4 + 0*f - 2/3*f**5 - 726*f**3.
-2*f**3*(f + 33)**2/3
Let u(z) be the second derivative of 0*z**2 - 3/80*z**5 + 2*z + 0 + 1/8*z**3 + 0*z**4. Factor u(b).
-3*b*(b - 1)*(b + 1)/4
Let j = -2389 + 7169/3. Solve 1/3*h**2 - 4/3 + 1/6*h**3 - j*h = 0.
-2, 2
Factor 0 - 12/5*s - 2/5*s**3 - 5*s**2.
-s*(s + 12)*(2*s + 1)/5
Let x(u) be the second derivative of -1/18*u**4 + 12*u + 1/9*u**3 + 2/3*u**2 + 0. Factor x(b).
-2*(b - 2)*(b + 1)/3
Let l(s) = -27*s**4 + 5*s**3 - 3*s**2 - 5. Let q(i) = -22*i**4 + 4*i**3 - 2*i**2 - 4. Let g(b) = -4*l(b) + 5*q(b). Let g(f) = 0. Calculate f.
-1, 0, 1
Suppose i = -3*k - 10, 10 = -2*i - 6*k + 2*k. Factor -2*w**3 + 5*w**i - 6*w**5 - 2*w**3 + 20*w**4 - 8*w**5.
-w**3*(w - 2)*(9*w - 2)
Let h(o) be the first derivative of o**3/9 + 19*o**2 + 1083*o - 51. Factor h(j).
(j + 57)**2/3
Let r be (6/39 + 42/910)/((-2)/(-15)). Factor 3/2*j + 3*j**2 - 3 - r*j**3.
-3*(j - 2)*(j - 1)*(j + 1)/2
Let o(l) be the first derivative of -2/33*l**3 + 0*l**2 - 2/55*l**5 - 28 + 0*l - 1/11*l**4. Let o(h) = 0. What is h?
-1, 0
Let z(b) = 3*b**2 + b + 1. Let s(j) = -35*j**3 - 420*j**2 - 175*j + 5. Let g(d) = s(d) - 5*z(d). Factor g(h).
-5*h*(h + 12)*(7*h + 3)
Let m be 1*(-15 - 0)*(-6)/45. Suppose 12/5*y**2 - m*y - 2/5*y**3 + 0 = 0. Calculate y.
0, 1, 5
Let v(l) be the first derivative of -5/4*l**4 + 16 + 5/3*l**3 + 5*l**2 + 0*l. Let v(d) = 0. What is d?
-1, 0, 2
Let q be 2/5 + (-73)/(-5). Suppose 6*b - 18 = 12. Find g such that -2*g - 24*g**2 + q*g**3 + b*g + 0 + 6 = 0.
-2/5, 1
Let t be 1 - (-171)/(-324) - (-2)/(-8). Let -1/9*z**2 + 0 - t*z = 0. Calculate z.
-2, 0
Let u = 1903 - 1903. Let n(b) be the first derivative of -7*b**5 - 55/3*b**3 - 5*b**2 - 20*b**4 + 4 + u*b. Suppose n(m) = 0. Calculate m.
-1, -2/7, 0
Let v = 40 + -38. Solve 15*u + 2*u + 14*u + 20*u**4 - 92*u**3 + u + 40*u**v = 0.
-2/5, 0, 1, 4
Let n(t) be the third derivative of 11*t**7/105 - t**6/20 - 11*t**5/30 + t**4/4 - 4*t**2 + 32*t. Factor n(c).
2*c*(c - 1)*(c + 1)*(11*c - 3)
Let o(q) be the first derivative of q**5/110 + q**4/6 - q**3/33 - q**2 - 7*q - 9. Let y(k) be the first derivative of o(k). Factor y(t).
2*(t - 1)*(t + 1)*(t + 11)/11
Let c(j) be the third derivative of 0*j**4 - 2/315*j**7 + 5*j**2 + 0*j**3 + 1/504*j**8 + 0*j**5 + 0*j + 0 + 1/180*j**6. Determine b so that c(b) = 0.
0, 1
Let -3/7*m**4 + 15/7*m**3 + 9/7*m**2 - 51/7*m + 30/7 = 0. Calculate m.
-2, 1, 5
Find z such that -2/7*z**2 - 106/7*z - 104/7 = 0.
-52, -1
Let n = -39 + 40. Let r be (6 + -2)/(-4) + n. Factor -8/17*g + 0*g**2 + 6/17*g**3 + 2/17*g**4 + r.
2*g*(g - 1)*(g + 2)**2/17
Let f(r) be the first derivative of -6*r + 8 + 13*r**2 - 8/3*r**3. Let f(g) = 0. What is g?
1/4, 3
Let q(j) be the second derivative of 0 + 25/2*j**2 - 23*j + 1/12*j**4 - 5/3*j**3. Factor q(k).
(k - 5)**2
Let s = -13/70 - -94/35. Find o, given that 3*o**3 + 0 + s*o**4 + 1/2*o**2 + 0*o = 0.
-1, -1/5, 0
Let m = 46 + 116. Let b = 162 - m. Factor b*v - 8/7 + 2/7*v**2.
2*(v - 2)*(v + 2)/7
Let w(o) = o + 4. Let c(p) = 2*p + 4. Let n(z) = -3*c(z) + 2*w(z). Let k be n(-2). Find s such that 3*s**k - 3*s**3 + 3*s**2 - 2*s**4 - 4*s**4 + 3*s = 0.
-1, 0, 1
Let b(w) be the first derivative of w**6/144 + 11*w**5/120 + w**4/6 - 19*w**3/3 + 25. Let k(l) be the third derivative of b(l). Find t such that k(t) = 0.
-4, -2/5
Find o such that -3/4*o**2 - 4 - 13/2*o = 0.
-8, -2/3
Let v be (0/(-2))/((-10)/(-5)). Let x be 190/(-70) + (v - -1) - -2. Determine b, given that b**2 - 4/7*b**4 - 4/7*b**3 + 0 - x*b = 0.
-2, 0, 1/2
Let i(p) = -45*p**4 - 27*p**3 + 201*p**2 + 99*p + 12. Let o(v) = -v**4 + v**3 - 4*v**2 - v. Let h(d) = -i(d) - 3*o(d). Factor h(l).
3*(l - 2)*(l + 2)*(4*l + 1)**2
Let t = -16651/16 + 1040. Let h = 15/16 + t. Find u such that 0 - u - h*u**3 - u**2 = 0.
-2, 0
Let t be (0 - -1)/((-1)/(-2)). Suppose -3 - 6 = -3*f. Find y such that -f*y + 52*y**3 + 36*y**t + 20*y**4 + 27 - 35 - y = 0.
-1, 2/5
Let y(o) be the second derivative of o**7/84 + 3*o**6/20 + 29*o**5/40 + 43*o**4/24 + 5*o**3/2 + 2*o**2 - 432*o. Factor y(f).
(f + 1)**3*(f + 2)*(f + 4)/2
Solve 1/2*m**2 + 59/2*m - 30 = 0 for m.
-60, 1
Let f(n) be the third derivative of n**7/3150 - n**6/900 - n**5/75 - n**4/8 - 6*n**2. Let t(g) be the second derivative of f(g). Suppose t(l) = 0. Calculate l.
-1, 2
Let d(u) be the first derivative of 4*u**3/3 + 20*u**2 - 96*u + 163. Determine w so that d(w) = 0.
-12, 2
Let d(g) = -78*g - 78. Let q(i) = i**2 + 236*i + 235. Let k(o) = 8*d(o) + 3*q(o). Factor k(r).
3*(r + 1)*(r + 27)
Let l be (1 - -6) + 3 + -4. Let s be (-2)/8*(0 - l). Factor -3/4 - 3/4*y**2 + s*y.
-3*(y - 1)**2/4
Let i(s) be the first derivative of 0*s - 1/2*s**4 + 17 + 0*s**2 + 1/10*s**5 + 1/2*s**3. Factor i(c).
c**2*(c - 3)*(c - 1)/2
Determine a so that 164 - 58*a - 12*a + 10*a**2 - 12*a**2 + 13*a - 21*a = 0.
-41, 2
Let z(u) = 1 + 1 + 4*u**2 + u**3 + 2*u**2. Let y be z(-6). Suppose 4*p**y + p - 2*p**2 + 5*p + p**2 = 0. What is p?
-2, 0
Suppose -3*u + 351 = 2*k + k, -5*k = -5*u + 565. Let h be u/35 - (-4)/(-14). Suppose -1/5*f**4 + 0 - 1/5*f**2 + 0*f - 2/5*f**h = 0. What is f?
-1, 0
Factor 0*g - 5/3*g**2 + 5/3*g**4 + 0*g**3 + 0.
5*g**2*(g - 1)*(g + 1)/3
Let u(m) = 7*m**4 - 8*m**3 - 5*m**2 + 6*m + 6. Let z = 88 + -94. Let s(y) = -y**4 + y**3 + y**2 - y - 1. Let a(x) = z*s(x) - u(x). Factor a(c).
-c**2*(c - 1)**2
Let q = -2855/3 - -965. Factor -8/3*a + q*a**2 + 0 - 50/3*a**3.
-2*a*(5*a - 2)**2/3
Let m be -4*12/120*(-1 + -1 + 1). Solve 28/5*k**2 - 2/5*k**5 + 12/5*k**3 - m*k**4 + 6/5 + 22/5*k = 0 for k.
-1, 3
Let p = -5 + 9. Suppose 41 = -32*r + 169. Factor -i**4 - i**2 - p*i + 3*i**2 + 4*i**3 - i**r.
-2*i*(i - 2)*(i - 1)*(i + 1)
Suppose 0 = 4*g + v - 9, 4*g + 2*v = -3 + 13. Find l, given that -4 + 0*l**3 - 7 + 9 + 2*l**2 - g*l + 2*l**3 = 0.
-1, 1
Let d be (-6)/(-3)*(3 - 2). Let i(r) be the first derivative of 0*r + 0*r**2 + d + 9/4*r**4 + 3/5*r**5 + 2*r**3. Factor i(z).
3*z**2*(z + 1)*(z + 2)
Let h = 74 + -73. Let k be -1 + (75/10 - h). Suppose -7/2*m**3 - 1 - 8*m**2 - k*m = 0. What is m?
-1, -2/7
Suppose -28*j - 3*p = -24*j - 28, 8 = -j + 3*p. Find w, given that 0 - 3/8*w**j + 0*w + 3/8*w**5 - 3/8*w**3 + 3/8*w**2 = 0.
-1, 0, 1
Suppose -18 = 4*t - t. Let w be (-10)/(-15) - 1/t*5. Factor w - 1/2*b**2 - b.
-(b - 1)*(b + 3)/2
Let w(s) be the second derivative of -s**6/35 + 12*s**5/35 - 5*s**4/14 - 50*s**3/7 - 54*s. Suppose w(t) = 0. What is t?
-2, 0, 5
Let w be (3 + 1)*(-1 - -3 - 1). Let t be 3/(-6)*w/(-6). Factor 4/3*c**2 + 2/3 + 5/3*c + t*c**3.
(c + 1)**2*(c + 2)/3
Suppose 3*o - 8 = -3*g + 28, 3*o - 3*g = 60. Let r(p) be the first derivative of -16*p + 1 - 20/3*p**3 - o*p**2 - p**4. Factor r(c).
-4*(c + 1)*(c + 2)**2
Let m(n) be the first derivative of -5*n**6/6 - 8*n**5 - 25*n**4/4 + 250*n**3/3 - 504. Factor m(l).
-5*l**2*(l - 2)*(l + 5)**2
Let r be 21 + 360/(-15) + (-93)/(-21) + -1. Determine c, given that 2/7*c - 1/7*c**2 + r = 0.
-1, 3
Let x(l) = -13*l**2 - 4*l - 1. Let u be x(-2). Let g be 2332/60 - 6/u. Factor -27*s**5 + 6*s**5 - 39 - 6*s**4 + g.
-3*s**4*(7*s + 2)
Let m(c) = 2*c**3 - 15*c**2 - 5*c + 19. Let n = 9 - 16. Let z(r) = -r**3 + 8*r**2 + 3*r - 10. Let b(w) = n*z(w) - 4*m(w). Let b(y) = 0. What is y?
-1, 2, 3
Let n be (40/(-90)*12)/2 + (-6)/(-2). Suppose 0 - 1/3*i**5 + 2/3*i**3 - n*i + 0*i**4 + 0*i**2 = 0. Calculate i.
-1, 0, 1
Let t = 38 - 36. Factor 3*u**2 - t*u + 5*u - 1160 + 1142.
3*(u - 2)*(u + 3)
Factor -20/21*b + 2/21*b**2 - 22/21.
2*(b - 11)*(b + 1)/21
Let p(a) be the second derivative of 4*a**7/147 - 61*a**6/105 + 267*a**5/70 - 37*a**4/6 + 7*a**3/3 + 162*a. Suppose p(s) = 0. What is s?
0, 1/4, 1, 7
Let n be (-4 - -2)/((-180)/3594). Let k = n + -198/5. Factor 1/3*a**2 + 1/6*a - 1/6*a**4 + 1/6*a**5 - 1/6 - k*a**3.
(a - 1)**3*(a + 1)**2/6
Let g be ((-2)/4 + 0)/(17/(-306)). Let f 