be (114 - (-4 - -4 - -2)) + 4. Let o = 1278/11 - a. Factor -4/11*t - 2/11 - o*t**2.
-2*(t + 1)**2/11
Let f = -79 - -81. Suppose -2*a = f*q, 4*q = -2*a + 3 + 1. Factor 10/9*l**3 + 2/9*l**5 + 0 + 8/9*l**4 + 0*l + 4/9*l**q.
2*l**2*(l + 1)**2*(l + 2)/9
Let x(v) = -v**2 - 2. Let w(g) = 5*g**2 - 27*g + 40. Let z(a) = -w(a) - 6*x(a). Determine r so that z(r) = 0.
-28, 1
Let y(i) = 13*i**4 - 128*i**3 - 13*i**2 + 107*i - 7. Let h(s) = -6*s**4 + 63*s**3 + 6*s**2 - 54*s + 3. Let g(a) = -7*h(a) - 3*y(a). Factor g(f).
3*f*(f - 19)*(f - 1)*(f + 1)
Let n(d) be the first derivative of -d**6 - 9*d**5 - 27*d**4/2 + d**3 + 9*d**2 + 34. Find i, given that n(i) = 0.
-6, -1, 0, 1/2
Suppose -44*v + 59*v = -18*v + 396. Factor v + 27/2*p + 3/2*p**2.
3*(p + 1)*(p + 8)/2
Let q(c) be the first derivative of -995/3*c**3 + 49*c**5 + 14 - 175/2*c**4 - 60*c - 230*c**2. Find k, given that q(k) = 0.
-1, -2/7, 3
Let o(s) = 2*s**2 - 11*s + 10. Let l be o(5). Suppose -d = l*b - 6*d - 20, 12 = 2*b - 3*d. What is u in -2/7*u**2 + 4/7*u + b = 0?
0, 2
Let a(j) be the third derivative of j**6/240 + 9*j**5/40 - 19*j**4/16 + 29*j**3/12 - j**2 - 96*j. Factor a(u).
(u - 1)**2*(u + 29)/2
Let p(i) be the first derivative of -1/10*i**2 + 1/6*i**3 + 20 - 3/10*i. Factor p(x).
(x - 1)*(5*x + 3)/10
Let n be -11 - 0 - (-32 - -21). What is w in 4/13*w**2 + 2/13*w**3 - 6/13*w + n = 0?
-3, 0, 1
Let t(y) be the third derivative of y**6/1260 + 5*y**5/63 + 8*y**4/3 + 128*y**3/7 + 3*y**2 + 13. Determine b so that t(b) = 0.
-24, -2
Let u(t) = 306*t - 8241. Let x be u(27). Find j such that -x*j**5 + 0 - 12/7*j - 54*j**4 - 327/7*j**3 - 108/7*j**2 = 0.
-1, -2/7, 0
Let g(p) be the third derivative of 0*p**5 + 0*p + 0*p**3 + 0 - 5/21*p**7 + 0*p**4 - 1/24*p**6 + 19*p**2. Suppose g(z) = 0. What is z?
-1/10, 0
Determine x so that 62/7*x + 26/21*x**2 + 4/3 = 0.
-7, -2/13
Let -52/17 + 6*v - 48/17*v**2 - 2/17*v**3 = 0. What is v?
-26, 1
Let c = 1109 - 1102. Let i(l) be the third derivative of 0*l**3 - 1/30*l**6 + 0*l**7 + 0*l**5 + 0*l + 1/168*l**8 + 1/12*l**4 + c*l**2 + 0. Factor i(d).
2*d*(d - 1)**2*(d + 1)**2
Let a be -3 + 51/15 - (-407)/(-1100). Let q(u) be the second derivative of -1/150*u**6 + 3*u + 1/10*u**3 - 1/60*u**4 + 0 + 1/5*u**2 - a*u**5. Factor q(w).
-(w - 1)*(w + 1)**2*(w + 2)/5
Let h(x) be the third derivative of -x**7/42 - x**6/24 - 22*x**2. Factor h(l).
-5*l**3*(l + 1)
Let f be ((-5066)/(-5))/((-91)/(-65)). Let x = f + -722. Factor -2/7*o - 2/7*o**5 + 0 + 8/7*o**4 - x*o**3 + 8/7*o**2.
-2*o*(o - 1)**4/7
Let i(m) = 14*m**5 - 49*m**4 - 42*m**3 - 4*m**2 + 4*m. Let h(f) = f**4 - f**2 - f. Let y(z) = -20*h(z) - 5*i(z). Find w, given that y(w) = 0.
-1/2, -2/7, 0, 4
Factor 25*i + 25*i + 5*i**2 - 44*i - 6*i**3 + 4*i**3 - i**4.
-i*(i - 2)*(i + 1)*(i + 3)
Let g(r) be the first derivative of 4*r**3/27 + 16*r**2/9 - 107. Suppose g(l) = 0. What is l?
-8, 0
Find y such that -12 + 126*y - 1755/4*y**2 + 2025/4*y**3 = 0.
4/15, 1/3
Let n(k) = 8*k**2 - 32*k + 119. Let u(m) = 6*m**2 - 32*m + 118. Let b(x) = -4*n(x) + 5*u(x). Factor b(z).
-2*(z - 3)*(z + 19)
Let k(s) = -55*s**2 - s + 1. Let q be k(-1). Let x be ((-20)/(-170) + q/17)*-1. Factor -2/7*m**x + 0 + 0*m + 0*m**2.
-2*m**3/7
Let y be ((-4 - -12) + -7)/(2/(-194)). Let n = y + 99. Suppose 2/5*h + 1/5 + 1/5*h**n = 0. What is h?
-1
Let j(n) = n**2 - 5*n - 6. Let y(o) = 1. Let c(d) = -d - 5. Let m(t) = c(t) + 4*y(t). Let s(q) = j(q) - 4*m(q). What is v in s(v) = 0?
-1, 2
Let q(b) be the first derivative of 5 + 4/15*b**5 + 1/6*b**2 + 1/2*b**4 + 0*b + 4/9*b**3 + 1/18*b**6. Factor q(f).
f*(f + 1)**4/3
Let b = 20 + -19. Let m be (-1)/(b/2) - -24. What is f in -3 - 27*f**2 + m*f - 7*f + 3*f = 0?
1/3
Factor 2/5*p + 1/5*p**2 - 2/5*p**3 + 0 - 1/5*p**4.
-p*(p - 1)*(p + 1)*(p + 2)/5
Let z(y) be the second derivative of -1/60*y**4 + 3/10*y**3 + 0*y**2 + 0 - 41*y. Find u such that z(u) = 0.
0, 9
Let w = 961/3 - 320. Let f(r) be the third derivative of -3*r**2 + 1/30*r**5 + 0 + 0*r - w*r**3 + 1/180*r**6 - 1/36*r**4. Factor f(o).
2*(o - 1)*(o + 1)*(o + 3)/3
Solve -p**3 - 7*p**3 - 13*p + 20*p**2 - 115*p + 144 + 12*p**3 = 0 for p.
-9, 2
Suppose -224*m**2 + 124*m**2 + 120*m**2 + 215 - 865*m = 0. Calculate m.
1/4, 43
Let g be 8/88*0*-1. Let w(h) be the second derivative of 1/75*h**6 + g*h**2 - 1/25*h**5 - 1/30*h**4 + 0 + 2/15*h**3 - 8*h. Factor w(n).
2*n*(n - 2)*(n - 1)*(n + 1)/5
Let f = 8 + -6. Find s, given that 28*s + 184*s**2 + 8*s**4 - 8 - 4*s**5 - 216*s**f - s**3 + 9*s**3 = 0.
-2, 1
Let b be ((-24)/33)/4 + (-1293)/(-6930). Let v(f) be the third derivative of -f**2 + 0*f + 0 + 1/28*f**4 - b*f**5 + 0*f**3. Determine c, given that v(c) = 0.
0, 3
Suppose 25*f = 30*f - 30. Let t = -4 + f. Factor 1/2 + 1/2*h**t - h.
(h - 1)**2/2
Let n(k) = 2*k - 21*k**2 + 1 - k + 20*k**2. Let j(h) = -2*h**2 + 2*h + 6. Let g(z) = -j(z) - 2*n(z). Find f such that g(f) = 0.
-1, 2
Let q(g) be the third derivative of g**7/7560 + g**6/180 + g**5/10 + 2*g**4/3 + 12*g**2. Let z(i) be the second derivative of q(i). Factor z(c).
(c + 6)**2/3
Suppose 9*f = 17*f + 8. Let y be f/(-8)*14 - 4/(-16). Factor -2/3*t**y + 2/3 + 2/9*t - 2/9*t**3.
-2*(t - 1)*(t + 1)*(t + 3)/9
Let z(q) be the third derivative of 0 + 5/6*q**4 + 9*q**2 + 0*q - 1/24*q**5 - 35/12*q**3. Factor z(g).
-5*(g - 7)*(g - 1)/2
Let m(f) be the second derivative of -3/2*f**3 - 3/2*f**2 + 21/80*f**5 + 9/16*f**4 - 6*f + 0. Factor m(y).
3*(y - 1)*(y + 2)*(7*y + 2)/4
Factor -18*i**2 + 0*i**3 + 4*i**3 + 35*i**2 + 27*i**2 + 96*i - 144.
4*(i - 1)*(i + 6)**2
Let p(x) = -2*x. Let f be p(-4). Let q = f - 9. Let d(s) = s**5 - 6*s**4 + 4*s**3 - s + 1. Let n(y) = y**5 + y - 1. Let o(u) = q*n(u) - d(u). Solve o(z) = 0.
0, 1, 2
Let n(b) = -b**3 - 4*b**2 + 6*b + 5. Let l(c) = 4*c**3 + 11*c**2 - 19*c - 16. Let g(r) = -2*l(r) - 7*n(r). Let j be g(5). Factor 2*f + f**3 - 2*f - f**j.
f**2*(f - 1)
Let m(s) = -6*s - 17. Let w be m(-4). Let k be (w - (3 - 1)) + 0. Factor 40*t - 40*t - k*t**2 + 0*t**2.
-5*t**2
Let p = -27232/17 - -1602. Let -2/17*w**5 + 0 + 2/17*w**3 + p*w**4 + 0*w - 2/17*w**2 = 0. Calculate w.
-1, 0, 1
Determine w so that 161*w**2 - 72*w**3 + 20*w**4 - 53*w**2 - 27*w - 2*w**5 - 27*w = 0.
0, 1, 3
Let j(a) be the third derivative of -1/40*a**6 - 6*a**2 + 0*a**3 + 11/350*a**7 - 1/50*a**5 - 1/140*a**8 + 0*a + 0 + 0*a**4. Let j(x) = 0. Calculate x.
-1/4, 0, 1, 2
Let p(c) be the third derivative of -1/24*c**6 - 1/3*c**3 + 40*c**2 + 0 - 3/20*c**5 - 7/24*c**4 - 1/210*c**7 + 0*c. Determine t, given that p(t) = 0.
-2, -1
Suppose 3 + 0 = -b, 0 = -3*n + 2*b + 24. Suppose -5*v - n + 41 = 3*f, -10 = -2*f. Factor 4 - 8*w**3 + 4*w + 4*w**2 + v*w**3 - 6 - 2.
-4*(w - 1)**2*(w + 1)
Let t(v) = -v**2 - v - 1. Let z(m) = m**2 - 128*m + 1321. Let b(o) = -2*t(o) + z(o). Factor b(s).
3*(s - 21)**2
Let h(i) be the second derivative of -i**7/252 - i**6/36 + 11*i**5/40 + 9*i**4/8 - 12*i**3 + 27*i**2 - 294*i. Find p such that h(p) = 0.
-6, 1, 3
Let a = 27 - 22. Factor a*j - j + 6 - 4*j**2 + 2*j**2 - 8.
-2*(j - 1)**2
Let x(t) be the second derivative of t**6/150 - 3*t**5/50 - 7*t**4/60 + 8*t**3/5 - 18*t**2/5 + 427*t. Suppose x(l) = 0. What is l?
-3, 1, 2, 6
Let c(z) be the second derivative of -z**5/30 - z**4/12 + 2*z**3/3 - 15*z**2/2 - 6*z. Let y(t) be the first derivative of c(t). Factor y(i).
-2*(i - 1)*(i + 2)
Let b(c) be the third derivative of -c**5/66 + c**4/4 + 2*c**2 + 142*c. Factor b(x).
-2*x*(5*x - 33)/11
Let i be (-6)/10 + (-12)/5. Let h(d) = -d**2 - 5*d - 4. Let g be h(i). Factor 2/5*q**g + 0 + 4/5*q**3 + 0*q + 2/5*q**4.
2*q**2*(q + 1)**2/5
Let x(r) be the third derivative of -1/140*r**6 - 1/168*r**4 + 0*r - 1/2352*r**8 - 1/105*r**5 + 7*r**2 + 0 + 0*r**3 - 2/735*r**7. What is a in x(a) = 0?
-1, 0
Let b = -1 - -7. Factor -4*v**2 + 4*v**2 - 15*v - 12*v**2 + b*v.
-3*v*(4*v + 3)
Let t = 269/102 - 13/6. Let -8/17*m**2 + 0 + 8/17*m**5 + t*m**4 - 2/17*m - 6/17*m**3 = 0. What is m?
-1, -1/2, 0, 1
Suppose 0*m - 2 = -3*q + 4*m, 5*m + 12 = -q. Let j be 4 + q - 2 - -2. Factor -5*z**3 - 3*z + 2*z - 2*z**j + 4*z**3 + 0*z**2.
-z*(z + 1)**2
Let i(w) = -w**2 + 18*w + 45. Let j(c) = 2*c**2 - 16*c - 46. Let p(x) = 6*i(x) + 5*j(x). Factor p(u).
4*(u + 2)*(u + 5)
Let k(r) be the second derivative of r**4/36 - r**3/3 + 4*r**2/3 - 4*r - 3. Factor k(z).
(z - 4)*(z - 2)/3
Factor -1/2*r**2 - 7 + 