 198*p**2 + 3*p - 404*p**2 + 202*p**h + p**3 = 0. What is p?
0, 1, 3
Let n(p) be the third derivative of p**5/210 + p**4/14 + 5*p**3/21 + 2*p**2. Factor n(f).
2*(f + 1)*(f + 5)/7
Let l(o) = -10*o**3 - 6*o**2 - 6*o + 14. Let i(f) = -f**3 - f**2 - f + 2. Let q(c) = 8*i(c) - l(c). Factor q(p).
2*(p - 1)**2*(p + 1)
Suppose -5*z = -z + 4*z. Let y = 5 - z. Solve 4/5*v**3 + 2/5 - 4/5*v**2 - 2/5*v - 2/5*v**y + 2/5*v**4 = 0 for v.
-1, 1
Let c = -2489 - -4979/2. Find y such that 0*y - 1/2 + c*y**2 = 0.
-1, 1
Let u = -91444/13 - -7038. Factor 8/13*k**2 + u - 40/13*k.
2*(2*k - 5)**2/13
Let h = -27535 + 27535. What is o in 0 + 3/2*o**4 - 3/2*o**2 + h*o**3 + 0*o = 0?
-1, 0, 1
Let w(l) be the third derivative of 12*l**7/35 - l**6/4 + l**5/20 - 2*l**2 + 33. Suppose w(y) = 0. What is y?
0, 1/6, 1/4
Let a(v) = 2*v - 3. Let z(f) = f - 2. Let j(u) = -3*a(u) + 5*z(u). Let b be j(-4). Factor g**b - 41*g + 37*g + 7*g**3 - 4*g**5.
-4*g*(g - 1)**2*(g + 1)**2
Let g be (-186)/36 + 6 - (-4)/(-24). Factor g*k + 1/3*k**4 + 1 - 2/3*k**3 - 4/3*k**2.
(k - 3)*(k - 1)*(k + 1)**2/3
Let d(v) be the third derivative of 2*v**7/105 + 2*v**6/15 + 2*v**5/15 - 2*v**4/3 - 2*v**3 + 93*v**2. Let d(g) = 0. Calculate g.
-3, -1, 1
Factor 0 + 0*r - 4/3*r**3 + 10/9*r**4 + 0*r**2 + 2/9*r**5.
2*r**3*(r - 1)*(r + 6)/9
Let q = 66 + -69. Let s(c) = -8*c**2 + 17*c - 3. Let t(m) = m**2 + m + 1. Let j(f) = q*t(f) - s(f). Let j(b) = 0. What is b?
0, 4
Let w(r) be the first derivative of 0*r - 3 - 10/3*r**3 - 1/660*r**5 + 1/1980*r**6 + 0*r**2 + 0*r**4. Let p(q) be the third derivative of w(q). Factor p(v).
2*v*(v - 1)/11
Factor -4/11 - 2/11*r**3 - 10/11*r - 8/11*r**2.
-2*(r + 1)**2*(r + 2)/11
Suppose 3*i - 12 = 5*s, -6*s + 3*s = i - 4. Determine h, given that s + 2/9*h + 2/9*h**2 = 0.
-1, 0
Let n be (4/(-6))/(6/(-27)). Factor 3*s**5 + s**3 + 16*s**3 - 5*s - n*s - 4 + 3*s**2 + 0*s**3 + 13*s**4.
(s + 1)**3*(s + 2)*(3*s - 2)
Let q(p) be the third derivative of p**7/1260 + 7*p**6/720 - 17*p**5/360 + p**4/16 + 697*p**2. Factor q(g).
g*(g - 1)**2*(g + 9)/6
Let q(t) be the second derivative of -7/4*t**3 + 0 - 5*t - 1/40*t**5 - 5/2*t**2 - 1/2*t**4. Factor q(b).
-(b + 1)**2*(b + 10)/2
Suppose 4*z - 3*z + 4 = 0, 0 = f + 5*z - 148. Let q = f - 837/5. Find u such that 3/5*u**2 - q*u**4 - 3/5*u**5 + 3/5*u**3 + 0 + 0*u = 0.
-1, 0, 1
Let l = -15 + 17. Factor -4*d**5 + 5*d**5 + 0*d**5 + d**3 - l*d**4 + 0*d**4.
d**3*(d - 1)**2
Suppose -17*k + k + 124 = 15*k. Factor -1/5*w + 0 + 1/5*w**3 - 1/5*w**k + 1/5*w**2.
-w*(w - 1)**2*(w + 1)/5
Suppose 3*r - 98 = -2*d, -5*r + 160 = 4*d - 0*d. Let j be ((-1)/(-11))/(2/r). Let -8/11 - 2/11*k**3 - 12/11*k**2 - j*k = 0. What is k?
-4, -1
Let j(n) be the first derivative of 2/39*n**3 - 1/26*n**4 + 32 + 4/13*n**2 - 8/13*n. Let j(x) = 0. Calculate x.
-2, 1, 2
Let j(n) be the third derivative of n**6/300 + 29*n**5/150 + 4*n**4/3 + 52*n**3/15 + 2*n**2 - 4. Factor j(d).
2*(d + 1)*(d + 2)*(d + 26)/5
Let p(j) be the third derivative of -j**8/84 - 4*j**7/105 + j**6/15 + 8*j**5/15 + 7*j**4/6 + 4*j**3/3 + 2*j**2 + 4. Let p(a) = 0. What is a?
-1, 2
Let a = -5753/7 - -822. Let d(c) be the second derivative of -a*c**4 + c - 8/7*c**2 + 0 - 1/70*c**5 - 4/7*c**3. Factor d(p).
-2*(p + 2)**3/7
Suppose -52/3*q + 1/3*q**3 - 10/3*q**2 - 56/3 = 0. Calculate q.
-2, 14
Let n(o) be the third derivative of 1/45*o**6 - 27*o**2 + 0*o + 0*o**3 - 1/180*o**5 - 19/630*o**7 + 0 + 1/84*o**8 + 0*o**4. Determine w so that n(w) = 0.
0, 1/4, 1/3, 1
Let m be ((-55)/132*4)/(-1). What is q in 2/3*q + 7/3*q**5 + 0 - 3*q**3 - m*q**4 + 5/3*q**2 = 0?
-1, -2/7, 0, 1
Suppose -2*b + 36 = 6. Factor 9*a - 11*a + 12*a + b*a**2 - 5*a**4.
-5*a*(a - 2)*(a + 1)**2
Let n(y) = 25*y**4 - 120*y**3 + 5*y**2 + 30. Let b(i) = 0 - i - 1 + 5 - i**2 - 3 - i**3. Let g(l) = -30*b(l) + n(l). Factor g(w).
5*w*(w - 3)*(w - 1)*(5*w + 2)
Let h(l) be the first derivative of l**3/8 + 33*l**2/16 - 66. Factor h(u).
3*u*(u + 11)/8
Let k(l) = 2*l**2 + 47*l + 33. Let o be k(-23). Let q(b) = 8*b - 78. Let h be q(o). Let -19/10*f**3 + 0 + 7/10*f**4 + 2/5*f + 4/5*f**h = 0. What is f?
-2/7, 0, 1, 2
Let g(c) be the second derivative of -5*c**7/42 - 2*c**6/3 - 3*c**5/4 + 5*c**4/3 + 10*c**3/3 + 21*c. Find v such that g(v) = 0.
-2, -1, 0, 1
Suppose -240 = 53*c - 101*c. Let j(d) be the first derivative of -15/4*d**4 - 5*d**3 + 3*d**c + 10 + 3/2*d**6 + 0*d + 3*d**2. Determine y so that j(y) = 0.
-2, -1, 0, 1/3, 1
Let h = 61/72 - 5/8. Suppose -4*m = -3*i - 14, -m - 3*m + 26 = 3*i. Factor 0 + 0*a + 0*a**i + h*a**3.
2*a**3/9
Factor -8 - 31/4*w + 1/4*w**2.
(w - 32)*(w + 1)/4
Let r(l) be the first derivative of -2*l**2 - 13 + 18*l + 2/27*l**3. Factor r(j).
2*(j - 9)**2/9
Let m = 15059 + -30115/2. Solve 0 - m*x**2 - 3/4*x**5 - 3*x**4 + 0*x - 15/4*x**3 = 0 for x.
-2, -1, 0
Let n(p) = -150*p**3 - 1152*p**2 - 420*p + 21. Let y(u) = 15*u**3 + 115*u**2 + 42*u - 2. Let s(b) = 2*n(b) + 21*y(b). Factor s(w).
3*w*(w + 7)*(5*w + 2)
Factor -2/13*q**2 + 38/13*q + 0.
-2*q*(q - 19)/13
Suppose -2*t = -0*u + 3*u - 15, 15 = 3*t + 2*u. Factor -6*q**2 + 0*q**2 - 10*q**3 - 15*q**4 - 4*q**2 - 15*q**t.
-5*q**2*(q + 1)*(3*q + 2)
Let o(d) be the second derivative of -d**5/90 + d**4/27 - d**3/27 - 14*d + 6. Factor o(b).
-2*b*(b - 1)**2/9
Let j be (8/18)/((-4)/(-18)). Suppose -j*o = -6*o + 24. Suppose 2*v + 2*v**3 - 9*v**2 + 0*v + o*v**2 - v**3 = 0. Calculate v.
0, 1, 2
Let z(y) be the second derivative of -3/7*y**3 + 2/35*y**6 + 0 + 2/7*y**2 - 1/147*y**7 + 8/21*y**4 - 20*y - 1/5*y**5. Suppose z(h) = 0. What is h?
1, 2
Let k = -1/1018 - -2059/23414. Factor 2/23*q + 0 + k*q**2.
2*q*(q + 1)/23
Let w(o) = o**3 - 9*o**2 + 3*o - 16. Let s = -9 + 18. Let g be w(s). Factor -3*i - g*i**3 + 13*i**2 - 15*i**3 + 11*i**2 - 22*i**3.
-3*i*(4*i - 1)**2
Let t(j) be the first derivative of 8*j**6/3 - 44*j**5/5 + 105*j**4/16 - 3*j**3/2 + 156. What is q in t(q) = 0?
0, 3/8, 2
Let m(a) be the first derivative of -a**4/54 + 2*a**3/27 + 4*a - 12. Let j(w) be the first derivative of m(w). Factor j(s).
-2*s*(s - 2)/9
Factor -28*w + 3*w**5 - 22*w**2 - 5 - 4*w - 7 - 13*w - 30*w**3 - 38*w**2.
3*(w - 4)*(w + 1)**4
What is b in -50*b - 24 - 324*b**2 + 604*b**2 - 308*b**2 - 2*b**3 = 0?
-12, -1
Factor 4*q**2 + 473*q + 29584 - 223*q + 438*q.
4*(q + 86)**2
Find c such that 1/2*c**4 + 0 - 1/2*c**2 + 1/3*c - 7/6*c**3 + 5/6*c**5 = 0.
-1, 0, 2/5, 1
Let z(w) = -w**2 + 29*w + 6599. Let r be z(-68). Solve 2/7*i - 2/7*i**4 + 2/7*i**2 + 0 - 2/7*i**r = 0.
-1, 0, 1
Factor 0*x - 54/5*x**2 - 3/5*x**4 + 0 - 33/5*x**3.
-3*x**2*(x + 2)*(x + 9)/5
Find h, given that -168 + h**2 - h**3 - 9*h**2 - 160 + 322 - 13*h = 0.
-6, -1
Let -4/3*d**3 + 0*d**2 + 2/3*d + 0*d**4 + 0 + 2/3*d**5 = 0. What is d?
-1, 0, 1
Let -69/4*m - 105/4*m**2 + 6 - 3*m**3 = 0. Calculate m.
-8, -1, 1/4
Find m, given that 6*m**3 + 0*m**4 - 9/2*m**2 - 3/4*m**5 + 9/2 - 21/4*m = 0.
-3, -1, 1, 2
Let l = 6667/5 + -1333. Factor -4/5*k + 6/5 - l*k**2.
-2*(k - 1)*(k + 3)/5
Let a(y) be the third derivative of -10*y**2 + 0*y + 0 + 0*y**3 + 5/12*y**4 + 5/4*y**5. Factor a(i).
5*i*(15*i + 2)
Let w(b) be the first derivative of b**6/8 - b**5/5 - b**4/8 + b**3/3 - b**2/8 - 392. Suppose w(p) = 0. What is p?
-1, 0, 1/3, 1
Factor 30*q - 19*q**2 - 56*q**2 + 35*q**3 - 9*q**2 + 19*q**2.
5*q*(q - 1)*(7*q - 6)
Let x = 36588 + -36584. Let b be ((-1)/(-2))/(6/4). Factor 0*o + 1/3*o**5 + 0 - b*o**x + 1/3*o**2 - 1/3*o**3.
o**2*(o - 1)**2*(o + 1)/3
Let q(c) be the third derivative of c**6/600 - c**5/50 + 3*c**4/40 + 9*c**3/2 + 43*c**2. Let y(p) be the first derivative of q(p). Find i, given that y(i) = 0.
1, 3
Let i = 61/39 + -349/273. Factor -i*v + 0 - 1/7*v**2.
-v*(v + 2)/7
Let n be (-594)/(-88) + -3*2. Let g(o) be the second derivative of 3*o + 3/2*o**2 - n*o**5 - 3/2*o**3 + 0 - 9/4*o**4. Factor g(m).
-3*(m + 1)**2*(5*m - 1)
Let d(p) be the third derivative of 0 - 1/12*p**4 + 0*p**3 + 0*p - 1/90*p**5 + 28*p**2. Solve d(a) = 0.
-3, 0
Let a = 188 - 1312/7. Let p(k) = k - 12. Let w be p(14). Factor -a + 6/7*b - 6/7*b**3 + 2/7*b**4 + 2/7*b**w.
2*(b - 2)*(b - 1)**2*(b + 1)/7
Let f(q) = 5*q**4 - 3*q**3 + 3*q**2 + 3*q - 4. Let x(m) = 3*m**3 - 30*m + 5 - 3*m**2 - 6*m**4 + 26*m + 0*m**2. Let o(y) = 5*f(y) + 4*x(y). Factor o(t).
t*(t - 1)**3
Let n(l) = -20*l**2 + 35*l + 85. Let a(t) = 3*t**2 - 5*t - 12. Let o(b) = 15*a