se 0 = -4*q - 93 - 127. Let h be 154/q*(-6)/(-63)*-3. Determine u so that -2*u**3 - h*u**2 + 2*u + 4/5 = 0.
-1, -2/5, 1
Let l be (-8)/(-4)*(-14 - 4). Let t = -33 - l. Factor -5 + 0*m + 3*m - m**2 + t.
-(m - 2)*(m - 1)
Let z(i) be the second derivative of i**8/840 - i**7/252 + i**6/360 + 7*i**4/6 + i. Let a(j) be the third derivative of z(j). Factor a(r).
2*r*(r - 1)*(4*r - 1)
Let x(i) = -5*i + 150. Let v be x(30). Let k(z) be the third derivative of v*z**4 + 2*z**2 + 0 + 1/30*z**5 + 0*z + 0*z**3. What is l in k(l) = 0?
0
Let z = -71645/17 - -4215. Determine s so that 4/17 - 8/17*s**3 + 4/17*s**2 - 2/17*s**5 + z*s - 8/17*s**4 = 0.
-2, -1, 1
Let q be ((-40)/(-150))/((-12)/(-27)). Solve 0 - 1/5*r**3 - q*r**2 - 2/5*r = 0.
-2, -1, 0
Let o(i) be the first derivative of i**6/6 + 2*i**5/5 - i**4/4 - 2*i**3/3 - 80. Factor o(m).
m**2*(m - 1)*(m + 1)*(m + 2)
Suppose c + 0*j - 4 = j, 0 = -c - j + 6. Let v be 2 + 1*(c + -4). Find b such that 3 + 5*b**2 + 0 - 3*b**v - 9*b + 4*b**2 = 0.
1
Let d(r) be the second derivative of -r**7/168 + r**6/15 - r**5/20 - 11*r**4/24 + 5*r**3/24 + 7*r**2/4 - 190*r. Determine y so that d(y) = 0.
-1, 1, 2, 7
Let z(s) be the second derivative of s**7/21 + 3*s**6/5 + 9*s**5/5 - 127*s. Let z(o) = 0. Calculate o.
-6, -3, 0
Let x be (29 - 28)*(24/(-2))/(-4). Find f such that 256/5 + 6/5*f**x + 64*f - 92/5*f**2 = 0.
-2/3, 8
Let d(j) = j**3 + 7*j**2 + 6*j. Let n be d(-6). Suppose n = 2*r - 2 - 18. Determine p so that -2*p + r*p - 12*p**2 + 1 + 3 = 0.
-1/3, 1
Determine b, given that 33/4*b + 1/4*b**2 - 17/2 = 0.
-34, 1
Let a(g) be the first derivative of -1/4*g + 8 - 1/12*g**3 + 1/4*g**2. Find k, given that a(k) = 0.
1
Let p(x) = -6*x**4 - x**3 + x**2 + x. Let w = 6 + -12. Let q(i) = 7*i**4 + i**3 - i**2 - i. Let c(u) = w*p(u) - 5*q(u). Factor c(k).
k*(k - 1)*(k + 1)**2
Solve 28 - 88/3*n + 4/3*n**2 = 0.
1, 21
Let w(l) be the third derivative of l**6/96 + l**5/16 + 5*l**4/48 + 153*l**2 - 1. Suppose w(b) = 0. What is b?
-2, -1, 0
Let u(q) be the first derivative of q**3 + 21*q**2/2 - 24*q - 140. Factor u(i).
3*(i - 1)*(i + 8)
Let c = -34 + 66. Let i be 2/(-4)*c/(-8). Factor -6*m**i - 6*m - 29*m**3 + 26*m**3 + 3*m.
-3*m*(m + 1)**2
Let w(d) be the first derivative of 5*d**4/4 + 35*d**3/3 - 85*d**2/2 + 45*d - 98. Find n such that w(n) = 0.
-9, 1
Let o(h) = -h + 2. Let u be o(-1). Solve 3*l**2 + u*l**4 + 2*l**2 + 3*l**2 + l**4 - 12*l**3 = 0 for l.
0, 1, 2
Let i be (-13)/(-11) - (-2)/(-11). Suppose 14 = 5*d - i. Find y, given that -3*y**5 + 3*y + 13*y**3 + 6*y**2 - 13*y**d - 6*y**4 = 0.
-1, 0, 1
Let f(d) be the second derivative of d**5/50 + d**4/6 - 2*d**3/5 + 3*d - 13. Factor f(q).
2*q*(q - 1)*(q + 6)/5
Let y(s) be the third derivative of -4*s**2 + 5/8*s**4 - 1/20*s**5 + 0*s + 0*s**3 + 0. Solve y(m) = 0.
0, 5
Let v be 11/(-297)*24/(-160). Let k(r) be the second derivative of 0 + 10*r + 125/9*r**3 + v*r**6 + 1/6*r**5 + 625/12*r**2 + 25/12*r**4. Factor k(a).
(a + 5)**4/6
Let m(x) = 2*x + 1. Let g be m(1). Let t = -128/15 + 46/5. Factor 2/3*l**2 + 0*l - t*l**4 + 0*l**g + 0.
-2*l**2*(l - 1)*(l + 1)/3
Let j be (1/((-2)/((-18)/(-3))))/((-75)/20). Factor j*x**3 + 0 - 4/5*x - 2/5*x**4 + 2/5*x**2.
-2*x*(x - 2)*(x - 1)*(x + 1)/5
What is p in 300 + 612*p + 3*p**4 + 269*p**2 - 583*p**3 + 673*p**3 + 130*p**2 = 0?
-25, -2, -1
Let z(i) be the second derivative of 1/12*i**3 - 1/40*i**5 + 1/4*i**2 + 0 - 1/24*i**4 + 8*i. Find a such that z(a) = 0.
-1, 1
Let y be (800/5)/4 - 4. Suppose 0 = -5*l + p + 29, 3*l - y = -3*p - 15. Find u such that -37*u**3 + 8*u**2 - l + 40*u**3 - 3*u - 2*u**2 = 0.
-2, -1, 1
What is u in -48*u - 11204*u**2 + 212*u**3 - 46*u**4 + 11100*u**2 - 11*u**5 - 3*u**5 = 0?
-6, -2/7, 0, 1, 2
Suppose 2*s = 3*q - 94, 50 = q + 12*s - 8*s. Factor 10*j**3 - q*j**5 - 1 + 1 - 20*j**2 + 39*j**5 + 20*j**4 - 15*j.
5*j*(j - 1)*(j + 1)**2*(j + 3)
Let v(p) = -10*p**2 + 235*p + 2450. Let h(f) = f**2 - f - 2. Let u(n) = -15*h(n) - v(n). Factor u(k).
-5*(k + 22)**2
Let v(b) = -13*b**2 + 5*b + 32. Let l(i) = -5*i**2 - 8*i**2 + i**2 + 80 - 20*i**2 + 12*i. Let s(p) = -5*l(p) + 12*v(p). Factor s(q).
4*(q - 2)*(q + 2)
Factor -74/5 - 78/5*b**2 + 30*b + 2/5*b**3.
2*(b - 37)*(b - 1)**2/5
Let b = -33 - -36. Let 0*d - d - d**b + 2*d**2 + 0 + 0 = 0. What is d?
0, 1
Let r(j) be the first derivative of j**6/30 + 4*j**5/15 - j**4/2 - 12*j**3 + 3*j**2/2 + 10. Let u(x) be the second derivative of r(x). Let u(y) = 0. What is y?
-3, 2
Let p(c) be the first derivative of -2*c**3/27 + 44*c**2/9 - 968*c/9 + 11. Factor p(v).
-2*(v - 22)**2/9
Let g = 74 - 66. Let -247*a**5 - g*a**3 + 7*a**4 + 233*a**5 - 39*a**4 = 0. Calculate a.
-2, -2/7, 0
Suppose 0 = -5*w - 7*w + 108. Let -8*l**2 - 12*l**3 + 34*l - 15*l - w*l + 8*l**4 + 2*l**5 = 0. What is l?
-5, -1, 0, 1
Suppose -4*u + 3/2*u**4 - 10/3 + 23/6*u**3 + 11/6*u**2 + 1/6*u**5 = 0. What is u?
-5, -2, -1, 1
Let c(k) be the first derivative of 8/21*k**3 + 0*k - 2 - 8/35*k**5 + 1/21*k**6 - 3/7*k**2 + 1/7*k**4. What is b in c(b) = 0?
-1, 0, 1, 3
Let v(m) be the second derivative of -m**6/2 - 9*m**5/5 + 7*m**4/2 + 6*m**3 - 27*m**2/2 - m - 38. What is x in v(x) = 0?
-3, -1, 3/5, 1
Let p(y) = -18*y**3 - 128*y**2 + 8*y + 123. Let z(w) = -44*w**3 - 320*w**2 + 20*w + 308. Let o(d) = -12*p(d) + 5*z(d). Find m, given that o(m) = 0.
-16, -1, 1
Let y(s) be the third derivative of 4*s**6/15 + 13*s**5/5 + 10*s**4 + 56*s**3/3 - 2*s**2 + 7. Suppose y(i) = 0. What is i?
-2, -7/8
Let o be (-6 + 3 - -3) + 68/85. Suppose -o*l - 2/5 - 2/5*l**2 = 0. Calculate l.
-1
Let b(z) be the third derivative of 1/60*z**5 - 36*z**2 + 0*z - 1/6*z**3 + 0 + 1/480*z**6 - 1/96*z**4. Let b(d) = 0. What is d?
-4, -1, 1
Let t = -15 + 20. Let v(b) be the second derivative of 5*b - b**2 - 1/15*b**6 - b**4 - 2/5*b**t + 0 - 4/3*b**3. Suppose v(m) = 0. Calculate m.
-1
What is o in 781*o - 781*o - 12*o**3 + 4*o**5 + 8*o**2 = 0?
-2, 0, 1
Let k(d) = 2*d**3 + 8*d**2 + 4*d - 10. Let l be k(1). Factor 3*b**l - 4/3*b**5 + 1/3*b**2 - 2*b**3 + 0*b + 0.
-b**2*(b - 1)**2*(4*b - 1)/3
Suppose 5*g = -4*x + 6*x - 14, -4*g - 8 = 0. Let f(z) = 2*z**2 - 3*z + 5. Let q be f(x). Determine w, given that -2*w - 3*w**3 - q*w**2 + 8*w**2 + 4*w**3 = 0.
-2, 0, 1
Suppose -2 + 57 = 5*z. Let x = 14 - z. Factor 77*o**4 + 7*o**5 - 4*o - 51*o**4 + 15*o**3 + 12*o**x + 4*o**2.
o*(o + 1)**2*(o + 2)*(7*o - 2)
Solve 14/13*j**3 + 18/13*j - 30/13*j**2 + 0 - 2/13*j**4 = 0 for j.
0, 1, 3
Suppose 13/3*b - 2 - 7/3*b**2 - 1/3*b**3 + 1/3*b**4 = 0. Calculate b.
-3, 1, 2
Factor -2/13*z**4 - 14792/13 - 164/13*z**3 + 14104/13*z - 3018/13*z**2.
-2*(z - 2)**2*(z + 43)**2/13
Let m(q) be the second derivative of 2*q**6/15 - 64*q**5/5 + 341*q**4 + 128*q**3/3 - 2048*q**2 + 163*q. Factor m(r).
4*(r - 32)**2*(r - 1)*(r + 1)
Let z be 945/63*8/110. Solve -8/11*i + 0 - 26/11*i**3 + z*i**4 - 2/11*i**5 + 24/11*i**2 = 0 for i.
0, 1, 2
Let a = -22900 - -114501/5. Factor -a*x**3 + 0 - x**2 - 4/5*x.
-x*(x + 1)*(x + 4)/5
Suppose m - 5*w + 154 = 191, 0 = -m - 4*w - 26. Suppose 4 - 10/3*h**m + 26/3*h = 0. Calculate h.
-2/5, 3
Let m be ((-2)/(-2) + -6)/(-21*(-12)/(-144)). Suppose 20/7*v**4 + 0 + 48/7*v**3 - m*v**2 + 2/7*v**5 - 50/7*v = 0. Calculate v.
-5, -1, 0, 1
Factor 31*a - 30*a**2 + 5*a - 21 - 43 - 132*a - 3*a**3 - 32.
-3*(a + 2)*(a + 4)**2
Let x(c) be the first derivative of -4/3*c + 34 - 23/12*c**2 - 7/6*c**3 - 5/24*c**4 + 1/30*c**5. What is o in x(o) = 0?
-1, 8
Let h = 5/18 + 1/18. Let c(d) be the second derivative of 0*d**2 + h*d**3 - 1/10*d**5 + 1/30*d**6 + 0 - 1/12*d**4 + 2*d. Find s such that c(s) = 0.
-1, 0, 1, 2
Let l(v) be the first derivative of -5*v**3/3 - 315*v**2/2 - 84. What is r in l(r) = 0?
-63, 0
Let d(f) be the third derivative of -1/3*f**3 - 1/24*f**4 + 1/30*f**5 + 3*f**2 + 0 + 0*f + 1/120*f**6. Let d(u) = 0. What is u?
-2, -1, 1
Let n(v) be the first derivative of v**3/5 + 9*v**2/5 + 27*v/5 - 41. Solve n(x) = 0 for x.
-3
Suppose -2*z = 2*z - 12. Suppose 0 = -4*d + z + 5. Factor -11*h**d - 3*h**4 + 1 - 1 - 4*h**2 + 6*h + 12*h**3.
-3*h*(h - 2)*(h - 1)**2
Let c(r) = -2*r + 3. Let x be c(0). Solve -x*t**4 - t**4 - 8*t**3 + 4*t + 4*t**2 + 4*t = 0 for t.
-2, -1, 0, 1
Let v be 2/(-6) + 0 + (-8)/(-24). Suppose 0*f - 3*f = v. Factor f*l + 0*l**2 + 1/2*l**4 + l**3 + 0.
l**3*(l + 2)/2
Suppose 16 = -v - 6*s, -4*s + 3 = -3*v - 7*s. F