Let v(s) = -9*s**2 - 6*s + 3. Let f(a) be the first derivative of 4/3*a**3 + 4 + 3/2*a**2 - a. Let l(k) = 14*f(k) + 6*v(k). Suppose l(t) = 0. Calculate t.
-2, -1
Let j(h) be the first derivative of 2*h**3/57 + 39*h**2/19 - 248. Determine r so that j(r) = 0.
-39, 0
Let x = -157 + 629/4. Let t(w) be the first derivative of 0*w**2 + 6/5*w**5 - 6 + x*w**6 + 15/8*w**4 + 0*w + w**3. Factor t(z).
3*z**2*(z + 1)**2*(z + 2)/2
Let q be (9 + (-75)/6)*1/(-21). Let b(r) be the second derivative of -3/4*r**2 - 1/72*r**4 + 0 - q*r**3 + 2*r. Find x, given that b(x) = 0.
-3
Factor 18/7*h**3 - 3/7*h**5 + 0 + 9/7*h + 0*h**4 + 24/7*h**2.
-3*h*(h - 3)*(h + 1)**3/7
Let w(l) be the first derivative of 5*l**5/4 - 11*l**4/8 - l**3/4 - 33. Factor w(u).
u**2*(u - 1)*(25*u + 3)/4
Let n(k) be the third derivative of 29/30*k**5 + 16/3*k**3 + 0 + 16/3*k**4 - 12*k**2 + 0*k + 7/120*k**6. Factor n(a).
(a + 4)**2*(7*a + 2)
Suppose 0 = 6*j - j - 125. Suppose 4 = -j*g + 27*g. Factor 0 - 2/9*m**g - 2/9*m**3 + 0*m.
-2*m**2*(m + 1)/9
Let v(u) be the second derivative of 1/8*u**4 + 9/40*u**5 + 1/15*u**6 + 0 - 17*u - 3/4*u**2 - 5/12*u**3. Factor v(y).
(y + 1)**3*(4*y - 3)/2
Let q(d) = d**2 + d - 7. Let o be q(-5). Let -5*v**5 - 5*v**3 + o*v**3 - 4*v - 2*v**5 + 3*v**5 = 0. What is v?
-1, 0, 1
Let u be (1/((-85)/6))/(138/(-920)). Factor -2/17*j**2 + 0*j + u.
-2*(j - 2)*(j + 2)/17
Let w = -51 + 49. Let k be -4 + 1 - (w + -4). Suppose 2/9*u + 0*u**2 - 2/9*u**k + 0 = 0. Calculate u.
-1, 0, 1
Let y(h) be the third derivative of -h**6/840 - 11*h**5/420 - 5*h**4/28 + 112*h**2 + 1. Solve y(v) = 0 for v.
-6, -5, 0
Let m(o) be the second derivative of -o**4/4 + 31*o**3 - 2883*o**2/2 + 4*o + 10. Factor m(x).
-3*(x - 31)**2
Let c(w) be the first derivative of -w**4/4 + w**2/2 + 131. Determine z, given that c(z) = 0.
-1, 0, 1
Let a(j) = 7*j + j**2 + 8 - 8*j**2 - 8. Let z(v) = v**2 - 7*v. Let b(i) = i**2 - 8*i. Let w(s) = -6*b(s) + 7*z(s). Let k(m) = -a(m) - 5*w(m). Factor k(c).
2*c*(c - 1)
Suppose 0 = 3*i - 19 + 49. Let p be -11 + 15 + 34/i. Let 0 - 12/5*r**2 - p*r**3 - 12/5*r = 0. What is r?
-2, 0
Let a(i) be the first derivative of -2*i**5/15 - i**4/6 + 2*i**3/3 + 5*i**2/3 + 4*i/3 + 73. Find x such that a(x) = 0.
-1, 2
Let v(h) = -5*h - 6*h + 34 - 33. Let x be v(-2). Factor -7 + 1 + 0 - 7*o**2 + x*o.
-(o - 3)*(7*o - 2)
Let r(c) = c + 1. Let p be 2 + -3 - 77/(-7). Let k(b) = -2*b**2 - 13*b - 13. Let l(h) = p*r(h) + 2*k(h). Suppose l(t) = 0. What is t?
-2
Let u(f) = -5*f**2 - 10*f - 24. Let d(b) = 4*b**2 + 11*b + 24. Let t(m) = -4*d(m) - 3*u(m). Determine g, given that t(g) = 0.
-12, -2
Factor -32/3*c - 2/9*c**2 - 128.
-2*(c + 24)**2/9
Suppose -3*a + 10 = -5*u, -4*a + 0*u + 24 = 4*u. Let -2*q**3 - 4*q**a - 8 + 0 + 8*q**2 + 12 - 6*q**3 - 12*q**4 + 12*q = 0. Calculate q.
-1, 1
Let n = 6579 + -6499. Factor 20*q**3 - n*q**2 + 0 + 320/3*q - 5/3*q**4.
-5*q*(q - 4)**3/3
Suppose 2 = -4*h + b + 5, -5*b = 2*h - 29. Let i be 104/(-130)*10/(-28). What is s in i*s**4 + 12/7*s**3 + 8/7 + 26/7*s**h + 24/7*s = 0?
-2, -1
Let j(h) = h**3 + h**2 + h. Let w be 6/24 + (-5)/4. Let i(g) = 6*g**3 + 8*g**2 + 4*g. Let c(d) = w*i(d) + 4*j(d). Factor c(t).
-2*t**2*(t + 2)
Let a = 11/27 + -2/27. Suppose -24 = 76*m - 82*m. Suppose 0 + 1/3*j**2 + 1/3*j**3 - 1/3*j - a*j**m = 0. What is j?
-1, 0, 1
Let a(u) be the third derivative of -1/60*u**4 - 5*u**2 + 2/15*u**3 - 1/150*u**5 + 0 + 0*u. Find x such that a(x) = 0.
-2, 1
Let j(s) be the second derivative of s**4/15 + 148*s**3/15 + 2738*s**2/5 + 4*s - 3. Solve j(y) = 0.
-37
Let w(p) be the first derivative of 3*p - 9 + 3/4*p**2 - 1/2*p**3. Factor w(m).
-3*(m - 2)*(m + 1)/2
Let q be -12 + (-606)/(-51) + 465/51. Let f(w) be the first derivative of q + 0*w + 1/3*w**3 - 1/2*w**2. Factor f(k).
k*(k - 1)
Let u(d) be the first derivative of d**3/6 - 3*d**2/4 - 2*d - 54. Determine y so that u(y) = 0.
-1, 4
Let u(x) be the first derivative of 272*x**5/15 - 14*x**4 + 11*x**3/3 - x**2/3 + 373. Factor u(b).
b*(4*b - 1)**2*(17*b - 2)/3
Factor 1/4*f**2 - 2*f + 7/4.
(f - 7)*(f - 1)/4
Let m(u) be the second derivative of -u**6/10 + 19*u**5/40 - 5*u**4/8 + u**3/6 + 76*u. Factor m(t).
-t*(t - 2)*(t - 1)*(6*t - 1)/2
Let z = 31 - 277/9. Let r = -75/8 + 739/72. Factor r*q**3 - z*q**2 + 0 + 0*q.
2*q**2*(4*q - 1)/9
Suppose 250 = -2*y + 12*y. Suppose -3*s = 2*s + y, 5*s = q - 27. Factor -6/5 - 9/5*j + 3/5*j**3 + 0*j**q.
3*(j - 2)*(j + 1)**2/5
Let c(j) = 9*j**2 + 8*j + 7. Let h be c(-1). Suppose 5*a = h*o - 9*o - 12, -3*o - 6 = 5*a. Suppose -2*m**o - 4/5*m + 0 - 14/5*m**2 = 0. What is m?
-1, -2/5, 0
Let w = -133/480 - -151/160. Determine u so that -u**3 + 0 - 2/3*u**2 - w*u**4 - 1/6*u - 1/6*u**5 = 0.
-1, 0
Let t = 121 - 116. Suppose 0 = -5*g - 18 + 43, -25 = -3*k - t*g. Factor 0*s + 1/3*s**3 + 2/3*s**2 + k - 1/3*s**4.
-s**2*(s - 2)*(s + 1)/3
Suppose -47*f + 64 = -30. Factor 24/13*y + 2/13*y**3 - 16/13 - 12/13*y**f.
2*(y - 2)**3/13
Let s(r) = -25*r**2 - 1003*r - 118. Let t be s(-40). Solve -4/11*v - 4/11*v**t - 1/11 = 0.
-1/2
Suppose -2*a = -5*r + 149, -4*a = r - 3*r + 66. Solve -20*m**2 - 63*m**2 - 39*m + r*m**2 - 6 = 0 for m.
-1/2, -2/9
Let t be 1713/(-2855)*5/(-27)*2*1. Factor 1/3 - 1/9*j**2 + t*j.
-(j - 3)*(j + 1)/9
Let b(n) be the first derivative of -5*n**3/3 + 35*n**2 - 65*n + 197. Let b(x) = 0. Calculate x.
1, 13
Let c be 3/(-1)*(-15)/(-9). Let v = 31 - c. Determine h so that 14*h**2 + 21*h**3 - 14*h**2 + v*h**2 + 9*h - 6 = 0.
-1, 2/7
Let j(l) be the first derivative of l**5/10 + l**4/2 + 2*l**3/3 + 8*l - 13. Let p(u) be the first derivative of j(u). Factor p(f).
2*f*(f + 1)*(f + 2)
Let g(a) be the second derivative of a**4/12 + 14*a**3/3 + 98*a**2 - 36*a - 2. Find r such that g(r) = 0.
-14
Let -20/3 - w**4 - 26/3*w**3 - 64/3*w - 67/3*w**2 = 0. Calculate w.
-5, -2, -1, -2/3
Let r(j) be the first derivative of 2*j**3/3 + 2*j**2 + 86. Find d, given that r(d) = 0.
-2, 0
Let a be ((-5 + 10)/1)/((-3)/(-3)). Let z(s) be the third derivative of 1/60*s**a + 0 - 3*s**2 + 0*s**3 + 0*s + 1/420*s**7 - 1/80*s**6 + 0*s**4. Factor z(u).
u**2*(u - 2)*(u - 1)/2
Let i(q) be the first derivative of -q**4/16 + 23*q**3/12 + 3*q**2 - 194. Factor i(h).
-h*(h - 24)*(h + 1)/4
Let b be (0/(-1))/(0 + (-6)/(-6)). Factor 1/4*a - 1/4*a**3 + b - 1/4*a**2 + 1/4*a**4.
a*(a - 1)**2*(a + 1)/4
Let f(n) be the first derivative of -15/8*n**2 + 5/4*n - 5/16*n**4 + 5/4*n**3 + 17. Factor f(q).
-5*(q - 1)**3/4
Let d be 4 - ((-1)/(-2))/(1/(-2)). Suppose -d = 2*r + 3*b, -r = 2*r + 3*b + 3. Let 1/7*s**r + 2/7*s + 1/7 = 0. Calculate s.
-1
Let y be (-122)/(-8)*(2 + 2). Suppose y*q - 57*q - 16 = 0. Factor -l**q + 0*l + 0 + l**3 + 1/3*l**5 - 1/3*l**2.
l**2*(l - 1)**3/3
Factor 0 + 1/5*k**2 - 42/5*k.
k*(k - 42)/5
Let d(g) be the third derivative of -g**5/120 - g**4/16 + 46*g**2. Factor d(j).
-j*(j + 3)/2
Let u(g) be the second derivative of -g**4/36 + 11*g**3/9 - 7*g**2/2 + 143*g. Determine w so that u(w) = 0.
1, 21
Let n = -48 + 53. Find y, given that -6*y + 9*y**4 + 11*y**4 + 11*y**5 - n*y**4 - 15*y**2 - 5*y**5 = 0.
-2, -1, -1/2, 0, 1
Factor 0*v**2 + 0*v + 0*v**3 - 3/4*v**4 + 0.
-3*v**4/4
Let s be (10/(-4))/(95/(-57)). Determine d so that 6*d**2 - s*d**3 + 0 - 6*d**4 + 3/2*d = 0.
-1, -1/4, 0, 1
Let i(r) = 13*r + 770. Let s be i(-59). Determine t so that 2/3*t + 0*t**4 + 0*t**2 + 2/3*t**5 + 0 - 4/3*t**s = 0.
-1, 0, 1
Let x = 317 + -3483/11. Let c be 72/(-110)*(-60)/24. Factor -c*f**2 + x*f + 8/11*f**3 + 0.
2*f*(f - 2)*(4*f - 1)/11
Let h(d) = -8*d**4 + 276*d**3 - 5180*d**2 + 4900*d. Let n(s) = 9*s**4 - 274*s**3 + 5180*s**2 - 4900*s. Let l(k) = -5*h(k) - 4*n(k). Solve l(w) = 0.
0, 1, 35
What is a in -162/5 - 36/5*a - 2/5*a**2 = 0?
-9
Let g = 103 - 179. Let u = -74 - g. Solve 8/3*s + 2/3*s**u + 8/3 = 0 for s.
-2
Let d = 32142 - 64283/2. Factor d*g**3 + 1/4*g**4 - 3 - 5*g - 7/4*g**2.
(g - 3)*(g + 1)*(g + 2)**2/4
Let p(t) be the first derivative of 0*t - 3 - 1/15*t**3 - 2/5*t**2. Factor p(z).
-z*(z + 4)/5
Let p be 1 + 5 + (3 - (-6 + 11)). Let g(b) be the second derivative of 1/66*b**p + 9/11*b**2 + 0 + 2/11*b**3 - 5*b. Determine o, given that g(o) = 0.
-3
Factor 63*g**2 + 6/5 - 321/5*g.
3*(g - 1)*(105*g - 2)/5
Let a(l) be the first derivative of l**4/32 - 2*l**3 + 48*l**2 - 512*l - 25. Factor a(u).
(u - 16)**3/8
Suppose -26*l + 1 = -77. Let s(q) be