rivative of -1/112*p**8 - 3*p**2 + 0 - 1/24*p**4 + 1/21*p**7 - 1/10*p**6 + 1/10*p**5 + 0*p**3 + 0*p. Let q(m) = 0. What is m?
0, 1/3, 1
Let y = 55 + -60. Let r be (2/3)/(y/(-30)). Solve 2/5*l**3 + 0*l + 2/5*l**2 + 0 - 2/5*l**r - 2/5*l**5 = 0 for l.
-1, 0, 1
Factor -52*l**2 - 1827*l + 15 + 12*l**2 + 1712*l.
-5*(l + 3)*(8*l - 1)
Let a be 2/3*114/38. Let o(w) be the first derivative of -w**4 - 2*w**a - 1/5*w**5 - 2*w**3 + 3 - w. Let o(j) = 0. Calculate j.
-1
Let x(m) be the third derivative of 287*m**5/180 + 89*m**4/72 + m**3/9 - 5*m**2 + m. Factor x(t).
(7*t + 2)*(41*t + 1)/3
Let j(q) be the third derivative of 1/120*q**5 + 1/420*q**7 - 2*q**2 + 0*q**3 - 1/120*q**6 + 0*q + 0 + 0*q**4. Factor j(c).
c**2*(c - 1)**2/2
Let s(t) = 226*t - 7455. Let p be s(33). What is f in 48/17*f**4 + 0 - 18/17*f**p - 32/17*f**5 + 0*f + 2/17*f**2 = 0?
0, 1/4, 1
Let n(u) be the second derivative of u**4/6 - 45*u**3 - 136*u**2 - 403*u. Suppose n(k) = 0. Calculate k.
-1, 136
Let l = 7968 - 7964. Factor 4/3 - 2*f**2 + 2/3*f - 2/3*f**3 + 2/3*f**l.
2*(f - 2)*(f - 1)*(f + 1)**2/3
Let y = 3191/2 + -1594. Let z(v) be the second derivative of -y*v**2 - 3/10*v**5 + 0 - 7*v + 1/14*v**7 - 1/10*v**6 + 1/2*v**3 + 1/2*v**4. Solve z(r) = 0 for r.
-1, 1
Suppose 0 = 2*q - 4 - 2. Let k = 8783/4 - 2194. Let -5/4*s**q + 1/4*s**4 - k*s + 1/2 + 9/4*s**2 = 0. Calculate s.
1, 2
Suppose -10*d + 4*m + 13 = -7*d, 0 = -3*d - 4*m + 5. Let n(s) = 3*s + 1. Let z be n(1). Factor 3*t - 4*t**d + 5*t + z - 3*t**3 - t**3 - 4*t**4.
-4*(t - 1)*(t + 1)**3
Let c(z) be the third derivative of 0*z**5 + 1/8*z**4 + 0*z + 34*z**2 - 1/3*z**3 - 1/120*z**6 + 0. Let c(k) = 0. Calculate k.
-2, 1
Let g be ((-1)/4)/(((-9)/(-60))/(-3)). Suppose -6*l**2 + 12 - 2 - l**3 - g*l - 10 = 0. Calculate l.
-5, -1, 0
Solve 10*m**2 + m**5 + 21*m**3 - 75*m**4 + 41*m**4 + 6*m + 9*m**2 + 43*m**4 = 0 for m.
-6, -1, 0
Let h(i) be the second derivative of -i**8/2240 + i**6/240 - i**4/12 - i. Let t(m) be the third derivative of h(m). Suppose t(r) = 0. Calculate r.
-1, 0, 1
Let w(i) be the second derivative of i**7/11340 + 11*i**6/1620 + 121*i**5/540 - 5*i**4/12 + 37*i. Let g(d) be the third derivative of w(d). Factor g(x).
2*(x + 11)**2/9
Suppose 3*f = -h + 14, f + 4*h - 16 = -f. Let r(k) be the first derivative of -14/27*k**3 - 5/3*k**2 + 4 - 1/18*k**f - 2*k. Let r(o) = 0. Calculate o.
-3, -1
Let o(f) be the second derivative of f**4/54 + 35*f**3/27 - 4*f**2 + 7*f - 3. Find y such that o(y) = 0.
-36, 1
Let o be 2/(-6) + (-74)/(-6). Factor -2*f - 29 + 26*f + o - 31 - 3*f**2.
-3*(f - 4)**2
Let b(t) = -7*t**2 + 16*t - 5. Let k(w) = 3*w**2 - 8*w + 2. Let u(m) = 2*b(m) + 5*k(m). Factor u(r).
r*(r - 8)
Let m be (-160)/(-24)*9/3. Let -32*h**2 - 24*h - h + 9*h - m*h**3 - 4*h**4 = 0. Calculate h.
-2, -1, 0
What is a in 292*a - 40*a + 6*a**2 - 10*a**2 = 0?
0, 63
Let l(x) be the third derivative of x**6/360 - 17*x**5/180 - x**4/4 - 82*x**2. Find v, given that l(v) = 0.
-1, 0, 18
Let t(c) = -c**3 + c**2. Let k(r) = 11*r**3 + 9*r + 2 - 4*r**3 - 3*r**2 - 6*r - 5*r**2. Let p = -23 - -63. Let d(o) = p*t(o) + 5*k(o). Factor d(h).
-5*(h - 2)*(h + 1)**2
Let j(h) be the third derivative of h**6/160 - 243*h**5/80 + 19683*h**4/32 - 531441*h**3/8 - 2*h**2 - 94. Suppose j(x) = 0. Calculate x.
81
Let v(n) be the first derivative of n**3 - 57*n**2/2 + 1083*n/4 - 555. What is c in v(c) = 0?
19/2
Let b(c) be the second derivative of 0*c**3 + 0 + 10*c + 5/12*c**4 - 5/2*c**2. Let b(y) = 0. Calculate y.
-1, 1
Let m(d) be the third derivative of -d**5/30 + 37*d**4/24 - 2*d**3 - d**2. Let f be m(18). Find h such that -f - 2/3*h**2 + 4*h = 0.
3
Let q = 126 + -124. Determine o, given that o**3 + 4*o**4 + 151*o**q - 147*o**2 - o - 7*o**3 - o**5 = 0.
0, 1
Let a(v) be the first derivative of 1/8*v**4 + 0*v**3 - 3/20*v**5 + 0*v + 2 + 0*v**2. Factor a(s).
-s**3*(3*s - 2)/4
Factor x**2 - 3 - 5/2*x + 1/2*x**3.
(x - 2)*(x + 1)*(x + 3)/2
Solve 0 - 11/2*m - 31/6*m**3 + 65/6*m**2 - 1/6*m**4 = 0 for m.
-33, 0, 1
Let y(k) be the first derivative of -k**4/4 + 4*k**3/3 - 5*k**2/2 + 2*k - 30. Factor y(w).
-(w - 2)*(w - 1)**2
Suppose 5*j + 65 = 5*k, -2*k + 2*j + 51 = 5*j. Factor -4*b - k*b**2 - 29*b**3 + 7*b**3 + 4*b + 4*b.
-2*b*(b + 1)*(11*b - 2)
Solve 0*m**3 + 0 - 3/2*m**4 - 3*m + 9/2*m**2 = 0.
-2, 0, 1
Let w = 89 + -154. Let l = -65 - w. Factor 4/9*u**3 + 2/9*u**4 + 2/9*u**2 + 0*u + l.
2*u**2*(u + 1)**2/9
Let f = 44 - 35. Suppose 19*q + f*q**2 - 4*q - 6*q**2 = 0. What is q?
-5, 0
Factor 841*b + 13*b**2 + 67*b**2 - 2*b**3 - 919*b.
-2*b*(b - 39)*(b - 1)
Let x be ((-5)/(-3))/((2/(-6))/1). Let l be 0*1*x/10. What is b in l - 2/11*b + 2/11*b**2 = 0?
0, 1
Suppose 7*v - 107 + 86 = 0. Let f(k) be the second derivative of -3/10*k**2 + 0 + 4*k + 1/5*k**v - 1/20*k**4. Factor f(d).
-3*(d - 1)**2/5
Let r(s) be the third derivative of 0*s + 1/320*s**6 + 1/96*s**5 + 25*s**2 - 1/420*s**7 - 1/48*s**3 - 1/64*s**4 + 0. Find j, given that r(j) = 0.
-1, -1/4, 1
Let q(z) be the third derivative of 7*z**6/360 + 299*z**5/180 - 197*z**4/36 + 44*z**3/9 + 219*z**2. Solve q(n) = 0 for n.
-44, 2/7, 1
Suppose 3*k + 27 = 3*x, 3*k - 4 = -25. Factor -10/11*y**3 - 16/11*y**x - 8/11*y - 2/11*y**4 + 0.
-2*y*(y + 1)*(y + 2)**2/11
Let d = 73 - 40. Let s = -30 + d. Determine w so that -13*w**4 + 16*w**s - 8 - 24*w**4 + 4*w + 5*w**4 - 20*w**5 + 40*w**2 = 0.
-1, 2/5, 1
Let s be (-20)/(-8)*(-3)/5*-2. Suppose -114*h**3 - 3*h + 108*h**s - 12*h**2 - h**4 - 5*h = 0. Calculate h.
-2, 0
Let n(b) be the second derivative of -b**5/12 - 5*b**4/24 + 5*b**3/3 + 15*b**2/2 + 16*b. Let i(y) be the first derivative of n(y). Factor i(w).
-5*(w - 1)*(w + 2)
Let n(d) be the third derivative of -d**7/504 - d**6/48 + d**5/6 - 7*d**4/24 - 12*d**2. Let m(z) be the second derivative of n(z). Factor m(o).
-5*(o - 1)*(o + 4)
Let m(c) be the second derivative of c**5/90 - 4*c**3/9 + 16*c**2/9 - 42*c. Factor m(j).
2*(j - 2)**2*(j + 4)/9
Let l(v) be the third derivative of -v**7/280 + v**6/20 - 3*v**5/16 - v**4/8 + 5*v**3/2 + 2*v**2 - 146*v. Let l(y) = 0. What is y?
-1, 2, 5
Let k be 216/(-45) - -4 - (-34)/5. Let o(g) be the first derivative of 0*g**2 + 1/3*g**3 + k + 0*g. Factor o(n).
n**2
What is h in -76/3*h**3 + 130321/3 - 27436/3*h + 722*h**2 + 1/3*h**4 = 0?
19
Factor -169/7 - 1/7*y**3 - 27/7*y**2 - 195/7*y.
-(y + 1)*(y + 13)**2/7
Suppose 0 = -3*i + 7 - 7. Let d(p) be the first derivative of 1/3*p**4 - 1/3*p**2 - 1/9*p**3 + 1/5*p**5 + i*p + 3. Factor d(b).
b*(b + 1)**2*(3*b - 2)/3
Let m(f) be the third derivative of f**6/360 + f**5/180 - f**4/72 - f**3/18 + 54*f**2 - 1. Solve m(u) = 0 for u.
-1, 1
Let m(t) be the third derivative of t**8/84 - 2*t**7/105 - 13*t**6/15 + 8*t**5/15 + 80*t**4/3 + 256*t**3/3 - 2*t**2 + 3. Let m(p) = 0. Calculate p.
-4, -2, -1, 4
Let n(b) = -2*b - 3. Let z be n(-4). Factor -1373 - 475*l + 169*l - 429*l - z*l**3 - 105*l**2 - 342.
-5*(l + 7)**3
Suppose 99*l + 2 + 3 = 5. Find d, given that 3/5*d**3 - 9/5*d + 6/5 + l*d**2 = 0.
-2, 1
Let z(o) be the first derivative of -o**4/18 + 4*o**2/9 - 254. Solve z(v) = 0 for v.
-2, 0, 2
Solve -56*b**3 - 50 - 168*b**2 + 70*b + 216*b**2 - 16*b**3 = 0.
-1, 5/6
Let j(k) = 2*k**2 + k + 1. Suppose -41 = 3*u - 35. Let i(c) = 3*c**3 + 4*c**2 - 7*c - 4. Let b(s) = u*j(s) + i(s). Factor b(m).
3*(m - 2)*(m + 1)**2
Solve -10/7*k**2 + 72/7 - 2/7*k**4 - 48/7*k + 12/7*k**3 = 0.
-2, 2, 3
Let b(i) = 3*i**3 - 4*i**2 + 19*i - 18. Let c(q) = -q**3 - 2*q**2 + 3*q. Let o(t) = b(t) + 5*c(t). Suppose o(g) = 0. What is g?
-9, 1
Let g(f) be the third derivative of -f**7/42 - f**6/24 + f**5/12 + 5*f**4/24 + 49*f**2 + 2*f. Determine q, given that g(q) = 0.
-1, 0, 1
Let w(b) = -b + 9. Let o be w(7). Suppose o*j - 16 = 3*x, -4*j + x + 16 = 4. Factor 0*s**j + 3/2*s**3 - 3/4*s**4 + 0 + 0*s.
-3*s**3*(s - 2)/4
Let g(c) be the second derivative of c**6/420 + c**5/105 + c**4/84 - c**2 - 4*c. Let j(v) be the first derivative of g(v). Find b such that j(b) = 0.
-1, 0
Let j(n) be the first derivative of 0*n + 39 + 2/3*n**3 + n**2. Find c such that j(c) = 0.
-1, 0
Let u(j) = -3 + 3*j**3 + 4*j**3 - j + 0 - 3*j**2 - 3*j. Let q(t) = 36*t**3 - 16*t**2 - 20*t - 14. Let h(b) = -3*q(b) + 14*u(b). Factor h(z).
-2*z*(z - 1)*(5*z + 2)
Suppose 7 = o - x, -6 = 3*o + 2*x - 7. Let j(t) be the first derivative of 3/2*t**2 - t**o + 3 + 6*