/5*y - 4/5.
-4*(y + 1)**2/5
Let h(m) be the third derivative of -m**6/120 + 9*m**5/280 - m**4/28 - 2*m**3/3 - 19*m**2. Let k(x) be the first derivative of h(x). Factor k(w).
-3*(w - 1)*(7*w - 2)/7
Let z be 278/417 - 7/(-3). Let l(u) be the first derivative of 1/3*u**z + 3 + 0*u - u**2. Factor l(n).
n*(n - 2)
Let l = 10472/9 - 1162. Find k such that 10/9*k**3 + 4/9 + 2/9*k**4 + 2*k**2 + l*k = 0.
-2, -1
Let w(s) be the second derivative of s**5/60 - 7*s**4/4 + 147*s**3/2 - 3087*s**2/2 + 19*s. Factor w(x).
(x - 21)**3/3
Suppose 14 = -4*v - 2. Let x be (-6)/(-9)*(-30)/v. Let -5 + 10*b**2 - 5*b**4 + 3*b**3 - x*b**5 + 20*b - 25*b + 0*b**5 + 7*b**3 = 0. Calculate b.
-1, 1
Let y be (2 - (-50)/(-3))*4/(-96). Let t(p) be the second derivative of y*p**3 - 1/2*p**2 + 0 + 1/12*p**5 - 7*p - 13/36*p**4. Factor t(u).
(u - 1)**2*(5*u - 3)/3
Suppose 0 = 3*u - 2*u - 15. Determine o, given that -1313 + 9*o**2 + 1293 - 4*o**2 + u*o = 0.
-4, 1
Let i(c) = -2*c**5 - c**4 + c - 1. Let y(o) = -6*o**5 - 50*o**4 + 50*o**3 + 2*o - 2. Let d(g) = -4*i(g) + 2*y(g). Let d(m) = 0. Calculate m.
-25, 0, 1
Let a be (-340)/(-119)*(2380/24)/17. Determine b, given that -40/3 + 5/3*b**5 - 20/3*b + a*b**2 + 5/3*b**3 - 20/3*b**4 = 0.
-1, 2
Let b(g) be the third derivative of 0*g + 9*g**2 - 1/112*g**8 + 3/8*g**4 + 0 + 1/10*g**5 + 1/2*g**3 - 1/20*g**6 - 3/70*g**7. Let b(d) = 0. Calculate d.
-1, 1
Let -11/4*x - 1/8*x**2 + 0 = 0. Calculate x.
-22, 0
Let y(t) be the second derivative of 0*t**2 - 8/3*t**3 - t**5 + 7*t**4 + t + 0. Factor y(b).
-4*b*(b - 4)*(5*b - 1)
Let g be 2/(-8)*-6*10218/117. Let f = -128 + g. Factor 0*i + 1/3*i**f + 0*i**2 + 1/3*i**4 + 0.
i**3*(i + 1)/3
Suppose -19 - 17 = -4*x. Suppose y**2 - x*y**2 + 6*y**4 + 38*y + 2*y**5 - 38*y = 0. What is y?
-2, 0, 1
Let a be ((-8)/(-6))/((-2)/(-3)). Let -m**3 - 5*m**3 + 6*m**3 + m**4 - 6*m**a - 3 - 8*m = 0. What is m?
-1, 3
Let h(j) be the first derivative of -3*j**4/4 - 3*j**3 + 27*j**2 - 147. Factor h(z).
-3*z*(z - 3)*(z + 6)
Suppose 44*c**2 - 4*c + 54*c**2 - 2*c**3 - 92*c**2 = 0. Calculate c.
0, 1, 2
Let s = -165 + 167. Let p(z) be the third derivative of -1/6*z**4 + 7/150*z**5 + 0*z + 4/15*z**3 - 3*z**s + 0 - 1/200*z**6. Factor p(w).
-(w - 2)**2*(3*w - 2)/5
Factor -175/4*v**2 + 165/2*v + 5/4*v**3 + 0.
5*v*(v - 33)*(v - 2)/4
Let z be ((-3)/(-1))/3 - 3*-1. Factor 23*d**3 - 27*d - 14*d**3 + 15*d - 3*d**z.
-3*d*(d - 2)**2*(d + 1)
Let p(v) be the second derivative of -v**7/840 + v**4/2 - v. Let b(z) be the third derivative of p(z). Factor b(l).
-3*l**2
Suppose 29*c = 66*c - 32*c. Solve 2/5*n + 4/5*n**2 + 2/5*n**3 + c = 0.
-1, 0
Let o = -25 + 24. Let h be o + 0 - 590/(-70). What is z in -8/7 - h*z - 44/7*z**2 = 0?
-1, -2/11
Let x(p) be the third derivative of -14*p**2 + 0 + 1/175*p**7 + 0*p - 3/50*p**5 - 2/15*p**3 - 3/20*p**4 + 1/300*p**6. Find n such that x(n) = 0.
-1, -1/3, 2
Let r(k) be the second derivative of k**5/50 + 7*k**4/30 - 2*k**3/3 - 16*k**2/5 - 40*k. Factor r(y).
2*(y - 2)*(y + 1)*(y + 8)/5
Let y(v) be the third derivative of v**6/20 + v**5/15 + 5*v**4/12 + v**3/3 + v**2 + 2*v. Let a(m) = -m**3 - m. Let o(u) = -5*a(u) - y(u). Factor o(c).
-(c + 1)**2*(c + 2)
Let p(x) be the first derivative of -32/15*x**5 - 4/3*x**2 + 26 - 12*x**4 - 22/3*x**3 + 0*x. Suppose p(a) = 0. Calculate a.
-4, -1/4, 0
Let w(o) be the first derivative of o**3/21 - o**2/7 + o/7 - 9. Determine k so that w(k) = 0.
1
Let c be 3*44/(-48)*-4. Suppose 5*z = 10, 2*z - 3*z = 3*m - c. Factor -1/3*j + 0 + 2/3*j**m + 1/3*j**2.
j*(j + 1)*(2*j - 1)/3
Let k be 66/15 - 2/5. Suppose -3*d + 2*c = 12, -5*d - c + 60 = 54. Factor 0 - 1/2*n**5 + n**k + 0*n - 1/2*n**3 + d*n**2.
-n**3*(n - 1)**2/2
Let o(g) be the third derivative of -1/10*g**5 + 0 + 0*g**3 + 7*g**2 + 1/8*g**4 + 0*g. Factor o(x).
-3*x*(2*x - 1)
Determine w so that 64/3*w**3 + 8*w**2 - 32/3*w - 2*w**4 - 14/3*w**5 + 0 = 0.
-2, -1, 0, 4/7, 2
Let i(d) be the second derivative of -d**6/60 - 9*d**5/40 - 7*d**4/6 - 3*d**3 - 4*d**2 + 78*d. Factor i(h).
-(h + 1)*(h + 2)**2*(h + 4)/2
Factor 310 - 101*g - 51*g - g**2 + 1134 + 5*g**2.
4*(g - 19)**2
Find z such that 18*z**2 - 8*z**2 - 13*z**2 + 2*z + z**4 = 0.
-2, 0, 1
Let v(j) = -61*j**3 - 167*j**2 - 144*j - 31. Let r(q) = -30*q**3 - 84*q**2 - 72*q - 15. Suppose 56 - 35 = -3*i. Let p(y) = i*r(y) + 3*v(y). Factor p(k).
3*(k + 1)*(k + 2)*(9*k + 2)
Let a be (1/(-6) - (-13)/6)/1. Let a + 0*f - 4*f - 2*f + 0*f**3 - 2*f**3 + 6*f**2 = 0. Calculate f.
1
Let w(x) be the second derivative of 2*x**7/105 + x**6/25 + x**5/50 - 16*x. Factor w(j).
2*j**3*(j + 1)*(2*j + 1)/5
Let f = 19 + -20. Let o be (f - 1)*38/(-4). Let -39*k**3 + 36*k**2 + o*k**4 - 6*k + 0*k - 3*k**2 - 7*k**4 = 0. What is k?
0, 1/4, 1, 2
Suppose 18*s - 5*s - 117 = 0. Suppose -12 = -s*a + 3*a. What is w in 3/2*w - 5/2*w**a + 1 = 0?
-2/5, 1
Suppose -6*k = 14 - 38. Let k*u + 5 - 12*u**2 + 0 + 3 = 0. What is u?
-2/3, 1
Solve -27/7*w**2 - 3/7*w**3 - 33/7 + 9*w = 0 for w.
-11, 1
Let o(t) = -t**2 + 312*t. Let u be o(0). Factor 2/3*v**3 + u + 4/3*v + 2*v**2.
2*v*(v + 1)*(v + 2)/3
Let c be 2/9*3 - (-26)/(-39). Suppose c = 2*g + 3*g + 5*x - 30, -40 = -4*g + 4*x. What is t in -4/5 - 4*t**4 - 4*t - 4/5*t**5 - 8*t**2 - g*t**3 = 0?
-1
Let q = -1763 - -7077/4. Factor -q*j - 15/4 + 5/2*j**2.
5*(j - 3)*(2*j + 1)/4
Let w(t) be the first derivative of -3*t**4/4 - 3*t**3 + 3*t**2/2 + 9*t + 158. Solve w(x) = 0 for x.
-3, -1, 1
Let q(o) = 2*o**3 + 5*o**2 + 9*o + 1. Let h = -52 - -57. Let i(x) = 2*x**3 + 4*x**2 + 8*x. Let s(z) = h*i(z) - 6*q(z). What is l in s(l) = 0?
-3, -1
Let r be -1 + (-27)/(-7) - -1. Let t = -53/21 + r. Suppose -10/3*s**3 - t*s**4 + 2/3 + 2/3*s - 2*s**2 = 0. Calculate s.
-1, 1/2
Let n(k) = -14*k**2 - 24*k. Let j(o) = -3*o**2. Let s(u) = 4*j(u) - n(u). Determine m, given that s(m) = 0.
-12, 0
Suppose 3*l + l = -16. Let i be l/(-6) - 14/(-6). Factor 2*s**3 - 25*s - 1 + 24*s - s**i + s**2.
(s - 1)*(s + 1)**2
Let s = 1569/8569 + -1/779. Factor 2/11*t**2 - 4/11*t**3 + 0 + s*t**4 + 0*t.
2*t**2*(t - 1)**2/11
Let g = 76 - 76. Let y be (-3)/30*((-3 - g) + -3). What is x in -y*x - 1/5*x**2 + 0 = 0?
-3, 0
Determine j so that 2164*j**2 - 8 - j**3 + 3*j**3 - 2158*j**2 = 0.
-2, 1
Let g(b) = 15*b**3 - 345*b**2 + 2870*b + 3245. Let l(i) = -7*i**3 + 173*i**2 - 1436*i - 1622. Let u(r) = -2*g(r) - 5*l(r). Factor u(x).
5*(x - 18)**2*(x + 1)
Let z(b) be the first derivative of 3*b**5/5 + 3*b**4 + 3*b**3 - 6*b**2 - 12*b + 99. Factor z(r).
3*(r - 1)*(r + 1)*(r + 2)**2
Factor -20*g**3 - 20*g - 10*g**2 + 3*g**4 + 5*g**5 + 17*g + 18*g + 7*g**4.
5*g*(g - 1)**2*(g + 1)*(g + 3)
Let c = -12 + 14. Suppose 3*b = 3*t + 129, 2*b = -c*b - 2*t + 184. Suppose 3*s**4 + 9*s**2 - 6*s**4 - b*s**2 + 20*s**3 + 28*s - 8 - s**4 = 0. What is s?
1, 2
Suppose 227*o**4 + 513*o**3 - 95*o**4 + 16*o**5 + 228*o**2 - 209*o**3 + 40*o = 0. What is o?
-5, -2, -1, -1/4, 0
Let g(w) be the first derivative of 7/20*w**5 + 1/2*w**2 + 5/6*w**3 + 4*w + 1/15*w**6 + 3/4*w**4 + 1. Let h(n) be the first derivative of g(n). Factor h(i).
(i + 1)**3*(2*i + 1)
Let d(h) = 100*h**3 - 215*h**2 - 100*h + 325. Let o(j) = -11*j**3 + 24*j**2 + 11*j - 36. Let x(s) = -6*d(s) - 55*o(s). Factor x(p).
5*(p - 6)*(p - 1)*(p + 1)
Let n(q) be the first derivative of 32/33*q**3 + 12/11*q**2 + 7/22*q**4 + 2/55*q**5 + 40 + 0*q. Suppose n(v) = 0. Calculate v.
-3, -2, 0
Let o(v) = 2*v**2 + 5*v + 5. Let q be o(0). Let c be (-1)/((-25)/10 - q). Find a such that 0*a + 4/15*a**5 - 4/15*a**3 + c*a**2 - 2/15*a**4 + 0 = 0.
-1, 0, 1/2, 1
Let m(d) be the third derivative of 21*d**6/8 - 10*d**5/3 - 35*d**4/8 - 5*d**3/3 - d**2 - 22. Solve m(i) = 0 for i.
-2/9, -1/7, 1
Let u(v) be the first derivative of -6/5*v - 7/5*v**2 - 1/10*v**4 - 11 - 2/3*v**3. Factor u(c).
-2*(c + 1)**2*(c + 3)/5
Suppose 9 = -2*a + 4*a - s, -3*s - 9 = 0. Let -5*y**3 + 8*y**2 + 0*y**3 + 3*y**3 - 2*y**a = 0. What is y?
0, 2
Let i(o) be the first derivative of -o**6/39 + 2*o**5/13 - 3*o**4/13 - 106. Factor i(k).
-2*k**3*(k - 3)*(k - 2)/13
Let d(b) be the first derivative of 24 + 1/15*b**3 + 1/20*b**4 + 0*b**2 + 0*b. What is c in d(c) = 0?
-1, 0
Let c(p) be the third derivative of 1/10*p**4 + 16/15*p**3 + 0*p - 1/280*p**8 - 41/150*p**5 - 1/100*p**6 + 0 + 1/21*p**7 + 17*p**2. Find g, given that c(g) = 0.
-1, -2/3, 1, 8
Let s(q) be the first der