e s(p) = 0. What is p?
-1, 2/9
Find c, given that 10*c**2 + 42*c**2 - 64 - 11*c + 30*c**3 + 12*c**2 - 17*c - 2*c**3 = 0.
-16/7, -1, 1
Factor 78 - 117/2*h**2 - 18*h**3 - 2*h + 1/2*h**4.
(h - 39)*(h - 1)*(h + 2)**2/2
Let o be 15 + 8 + -5 + -6. Suppose 6*x = o*x. Factor -2/11*b**5 - 2/11*b**4 + 2/11*b**3 + 0 + 2/11*b**2 + x*b.
-2*b**2*(b - 1)*(b + 1)**2/11
Suppose -4*d - 10 = 5*g + 2, -2*g - 2 = 3*d. Let i(o) be the first derivative of 0*o**d - 8 - 1/9*o**3 + 0*o - 1/4*o**4 - 1/18*o**6 - 1/5*o**5. Solve i(l) = 0.
-1, 0
Let n(h) be the third derivative of -h**6/540 - h**5/90 + h**4/12 + 5*h**3/2 - 2*h**2. Let v(t) be the first derivative of n(t). Factor v(i).
-2*(i - 1)*(i + 3)/3
Let y(p) be the first derivative of -5*p**6/6 + 5*p**5 + 35*p**4/2 + 10*p**3/3 - 65*p**2/2 - 35*p - 141. Solve y(x) = 0.
-1, 1, 7
Suppose -8*v + 5*v + 9 = 0. Factor -y**4 + v*y**2 + 59*y - 63*y - 6 + 0 + 2*y**3 + 2.
-(y - 2)**2*(y + 1)**2
Let l(j) be the first derivative of -j**6/7 + 96*j**5/35 - 87*j**4/14 + 4*j**3 - 29. Factor l(r).
-6*r**2*(r - 14)*(r - 1)**2/7
Solve -57/2*m**2 - 9/2 - 255/4*m**3 + 123/4*m = 0 for m.
-1, 1/5, 6/17
Suppose -516*z - 6 = 3*v - 519*z, -2*v + 4*z = 12. Find r such that -8/3*r + 8/3*r**3 - 32/9*r**v - 4/9*r**4 + 4 = 0.
-1, 1, 3
Let i(o) = 2*o**5 - 10*o**4 + 4*o**3 + 4*o**2 - 8*o + 2. Let v(q) = -2*q**5 + 11*q**4 - 2*q**3 - 4*q**2 + 7*q - 1. Let d(m) = 3*i(m) + 2*v(m). Factor d(r).
2*(r - 2)*(r - 1)**3*(r + 1)
Let d(v) = 3*v + 11. Let f be d(0). What is x in x**3 + f*x - 8*x - 3*x**2 + 3 - 3*x**3 - x**3 = 0?
-1, 1
Let r(g) = -4*g - 3. Let j be r(-3). Suppose j = 5*b + 5*w - 1, 4*w + 17 = b. Factor 0*f + 21/2*f**b + 3*f**2 + 0 + 33/2*f**3 + 24*f**4.
3*f**2*(f + 1)**2*(7*f + 2)/2
Suppose 0 = 30*s - 28*s + 60. Let k be s/6 - (-10)/2. Determine g, given that 3*g**2 - 3/2*g + k - 3/2*g**3 = 0.
0, 1
Let i(o) be the second derivative of -o**4/84 - 11*o**3/42 - 15*o**2/7 + 217*o. Factor i(m).
-(m + 5)*(m + 6)/7
Let h(q) = 17*q**5 + 16*q**4 - 16*q**2 - 8*q. Let b(k) = 8*k**5 + 8*k**4 - 8*k**2 - 4*k. Let m(t) = -9*b(t) + 4*h(t). Factor m(f).
-4*f*(f - 1)*(f + 1)**3
Let y(v) be the first derivative of v**4/6 + 2*v**3/9 - 4*v**2/3 - 8*v/3 + 76. Factor y(r).
2*(r - 2)*(r + 1)*(r + 2)/3
Let i(t) be the third derivative of -t**6/40 - t**5/10 + 9*t**4/8 + 9*t**3 - 45*t**2. Factor i(m).
-3*(m - 3)*(m + 2)*(m + 3)
Suppose -36*z + 48 = -24*z. Let c(y) be the second derivative of 0*y**2 + 1/100*y**5 + 0*y**3 + 0*y**z - 5*y + 0. Factor c(l).
l**3/5
Let a(t) = -16*t**3 + 48*t**2 + 44*t - 24. Let l(n) = n**3. Let i(s) = -a(s) + 4*l(s). Factor i(p).
4*(p - 3)*(p + 1)*(5*p - 2)
Let k = 306 + -308. Let s be 3/k*(-6 - -4). Factor 0 + 1/4*t + 5/8*t**2 + 1/2*t**s + 1/8*t**4.
t*(t + 1)**2*(t + 2)/8
Let n = -21 + 25. What is o in -7*o**4 + 1 - 4*o**n + 4*o**3 + 1 - 4*o + 9*o**4 = 0?
-1, 1
Suppose 3*o = -0*o. Suppose -3*w + 3 = -o*w, -2*f = -3*w - 7. Factor -b**f + 4*b**5 + 5*b**3 + b**3 - 3*b**3 + 6*b**4.
3*b**3*(b + 1)**2
Solve 1/6*a**3 + 22/3*a**2 + 85/6*a + 7 = 0 for a.
-42, -1
Let r(x) be the third derivative of -x**6/30 - 29*x**5/15 - 14*x**4/3 - 4*x**2 - 17. Suppose r(j) = 0. What is j?
-28, -1, 0
Let w(t) be the second derivative of t**6/90 - 7*t**5/30 + 35*t**4/36 - 11*t**3/9 - 9*t - 4. Suppose w(a) = 0. What is a?
0, 1, 2, 11
Suppose 5*a - 28 = -4*q + a, 6 = 2*a. Let n = 56 + -54. Factor -k + q*k - 5*k - k**n.
-k*(k + 2)
Factor -2*h**3 - 110/3*h - 100/3 + 56/3*h**2.
-2*(h - 5)**2*(3*h + 2)/3
Let g(z) be the first derivative of -4*z**5/5 + 8*z**3 - 16*z**2 + 12*z - 99. Solve g(i) = 0 for i.
-3, 1
Let p be 524/(5 - (-2 + 5)). What is o in 266 - o**2 - 518 - 3*o + p = 0?
-5, 2
Find r, given that -243/7 + 27*r + 51/7*r**2 + 3/7*r**3 = 0.
-9, 1
Let u(j) be the third derivative of j**5/20 - j**4/4 + j**3/2 + 38*j**2 - 5*j. Factor u(o).
3*(o - 1)**2
Let g(x) = 15*x**4 - 909*x**3 + 14436*x**2 + 21*x - 21. Let s(p) = 3*p**4 - 182*p**3 + 2887*p**2 + 4*p - 4. Let m(u) = 4*g(u) - 21*s(u). Factor m(l).
-3*l**2*(l - 31)**2
Suppose -7 = -4*x + 17. Factor 2*d**2 + 2*d - 4*d + x*d + 0 - 6.
2*(d - 1)*(d + 3)
Let z(g) be the first derivative of -g**5/15 + 5*g**4/12 + 2*g**3/3 - 16*g**2/3 - 32*g/3 + 92. Factor z(d).
-(d - 4)**2*(d + 1)*(d + 2)/3
Factor 18*g**3 - 136*g + 34*g**2 - 103*g + 173*g + 4*g**4 - 180 - 2*g**4.
2*(g - 2)*(g + 3)**2*(g + 5)
Let q be ((-2)/4)/(18/(-180)). Suppose -5*i + 25 = -q. Determine y so that -5 - 4*y**2 + 23 - i - 8*y = 0.
-3, 1
Let h be (3/6 - 0)/((-115)/(-23)). Let k(o) be the first derivative of -1/16*o**4 + 1/4*o**3 + 4 - 1/4*o + 1/8*o**2 - h*o**5. Let k(f) = 0. Calculate f.
-1, 1/2, 1
Let h(k) be the third derivative of -k**5/15 + 19*k**4/12 - 8*k**3 + 110*k**2. Factor h(r).
-2*(r - 8)*(2*r - 3)
Let g = -293 - -260. Let r(y) = -y - 29. Let z be r(g). Factor -96/7*u**3 + 24/7*u + 64/7*u**z + 4/7*u**2 + 4/7.
4*(u - 1)**2*(4*u + 1)**2/7
Suppose -4*o = -5*h - 13, -16*o + 15*o - 2*h = 0. Let w(q) be the second derivative of 7/12*q**4 - 5/2*q**3 - 1/20*q**5 - o*q + 9/2*q**2 + 0. Factor w(d).
-(d - 3)**2*(d - 1)
Let h be 480/25 + 8/(-2). Factor 16/5 + 28/5*t**4 + 64/5*t + h*t**3 + 20*t**2 + 4/5*t**5.
4*(t + 1)**3*(t + 2)**2/5
Let y(l) be the third derivative of 289*l**5/30 + 17*l**4/9 + 4*l**3/27 + 27*l**2 + 2*l. Factor y(p).
2*(51*p + 2)**2/9
Let u be ((-46)/4)/(21/(-56))*-9. Let k = u - -830/3. Let j**4 + 7/3*j**2 + 0 - 8/3*j**3 - k*j = 0. Calculate j.
0, 2/3, 1
Let 16 + 13*o**2 - 4*o**4 - 1/2*o**5 + 32*o - 13/2*o**3 = 0. Calculate o.
-4, -1, 2
Let z(o) = 2*o**3 + 82*o**2 + 798*o - 874. Let k(j) = 6*j**3 + 246*j**2 + 2394*j - 2624. Let d(x) = 4*k(x) - 11*z(x). Factor d(s).
2*(s - 1)*(s + 21)**2
Let p = -25858 + 25862. Solve 0 + 52/5*u**2 - 8/5*u - 68/5*u**3 - 48/5*u**p = 0 for u.
-2, 0, 1/4, 1/3
Let l(n) = n + 10. Let x be l(-12). Let v be (0 - x/10) + (-26)/(-195). Factor 2/3 - 1/3*q - v*q**2.
-(q - 1)*(q + 2)/3
Let w be 7/(56/(-276))*-2. Let j = w - 341/5. Factor j*f + 2/5*f**2 + 2/5.
2*(f + 1)**2/5
Suppose -5*n + 43 = 3*m, -m = -3*n + 4*n - 9. Find d, given that -1053*d**5 + 4 - 12*d**4 - n*d**3 + 1049*d**5 + 6*d + 6*d + 8*d**2 = 0.
-1, 1
Suppose 3*o - o = h - 32, 5*o + 10 = 0. Let n be 2/h*(-8 - (6 - 18)). Find v, given that 2/7*v + n*v**2 - 4/7 = 0.
-2, 1
Let b(n) be the first derivative of -5*n**6/6 + 13*n**5 - 95*n**4/2 - 380*n**3/3 + 660*n**2 + 1440*n - 560. Suppose b(p) = 0. Calculate p.
-2, -1, 4, 6
Let n(j) be the first derivative of 2*j**5/65 - 12*j**4/13 + 332*j**3/39 - 264*j**2/13 + 242*j/13 - 126. Factor n(q).
2*(q - 11)**2*(q - 1)**2/13
Let h be (-1)/(-4)*-17 - (-12)/48. Let c(q) = -4*q**2 - 28*q - 60. Let r(w) = 8*w**2 + 57*w + 121. Let y(o) = h*r(o) - 7*c(o). Factor y(f).
-4*(f + 4)**2
Let h(m) be the third derivative of -m**5/150 - m**4/4 - 14*m**3/15 - 684*m**2 + m. Let h(r) = 0. Calculate r.
-14, -1
Let m(n) = -n**3 + 2*n**2 - n + 8. Let h be m(0). Suppose 0 = -4*b + h, -2*b + 10 = -3*s + 3*b. What is y in 15 + 4*y**3 - 4*y - 4*y**2 + s*y - 11 = 0?
-1, 1
Suppose 32*z = 36*z - 20*z + 32. Solve 4/3*d**3 + 4/3*d - 1/3*d**4 - 1/3 - 2*d**z = 0.
1
Let k(z) be the third derivative of 0*z + 1/120*z**6 + 1/12*z**3 + 5/96*z**4 + 11*z**2 - 11/240*z**5 + 0. Factor k(o).
(o - 2)*(o - 1)*(4*o + 1)/4
Let h(z) be the first derivative of 5*z**6/6 - 14*z**5 + 365*z**4/4 - 280*z**3 + 360*z**2 - 11. Factor h(y).
5*y*(y - 4)**2*(y - 3)**2
Let n(v) = v**5 - 6*v**4 - 8*v**3 + 6*v**2 - 9*v - 4. Let q(a) = 2*a**5 - 12*a**4 - 16*a**3 + 12*a**2 - 14*a - 7. Let b(h) = 7*n(h) - 4*q(h). Solve b(f) = 0.
-1, 0, 1, 7
Let -4*s**3 - 77*s - 11*s**3 + 37*s + 132*s**2 - 57*s**3 - 20*s**4 = 0. What is s?
-5, 0, 2/5, 1
Let f(c) be the third derivative of -2*c**7/105 - c**6/10 + 11*c**5/15 + c**4/2 - 20*c**3/3 - 25*c**2. What is x in f(x) = 0?
-5, -1, 1, 2
Suppose 0 = -5*u - 5*j + 100, 5*u - 4*u + 4*j - 20 = 0. Factor u - 2*s**3 + 34*s**2 - 45*s - 7*s**2 + 3*s**2 - 3*s**3.
-5*(s - 4)*(s - 1)**2
Suppose -4*a - 4*a + 1008 = 0. Factor -27*q - 132*q**4 - 5*q - 112*q**2 - 50*q**3 + a*q**4.
-2*q*(q + 4)**2*(3*q + 1)
Determine g so that g - 3/5*g**2 - 2/5 = 0.
2/3, 1
Solve 3/5*w**3 + 0*w**2 + 0 + 3/5*w**4 + 0*w = 0 for w.
-1, 0
Factor 1500 + 45*u**2 + 3/2*u**3 + 450*u.
3*(u + 10)**3/2
Let d(f) be the first derivative of -2*f**3/3 + 20*f**2 + 42*f - 212. Determine o, given that