 129*p**2 + 189*p + 99. Let r(u) = -u**4 - 83*u**3 - 386*u**2 - 568*u - 296. Let a(f) = 8*l(f) + 3*r(f). Let a(b) = 0. Calculate b.
-4, -2, -1
Let g(y) be the second derivative of 0*y**2 + 0 + 5/12*y**4 + 0*y**3 - 7*y - 1/20*y**5. Let g(l) = 0. Calculate l.
0, 5
Let -59/3*n**2 - 10*n - 7/2*n**3 + 100/3 - 1/6*n**4 = 0. Calculate n.
-10, -2, 1
Let b(y) be the second derivative of -y**4/22 - 52*y**3/33 + 36*y**2/11 - 23*y - 1. Let b(n) = 0. Calculate n.
-18, 2/3
Let j(h) = 7*h - 14. Let l be j(5). Find r such that 45*r + l*r**5 - 3*r**3 - 27*r**2 + 69*r**4 - 42*r**2 - 63*r = 0.
-3, -1, -2/7, 0, 1
Let m(v) be the first derivative of -v**4/20 - 26*v**3/5 - 1014*v**2/5 - 17576*v/5 - 61. Factor m(x).
-(x + 26)**3/5
Let h(i) be the third derivative of -i**5/20 + 43*i**4/8 - 21*i**3 - 42*i**2 + 3. Determine l so that h(l) = 0.
1, 42
Let w = -22837/5 + 4569. Solve -w*v**2 + 2/5*v**3 + 2*v - 4/5 = 0 for v.
1, 2
Let y(o) be the second derivative of 2*o**6/15 - 24*o**5/5 + 64*o**4 - 1024*o**3/3 - o - 11. Let y(i) = 0. Calculate i.
0, 8
Factor -96/7*w**2 - 76/7*w**4 - 4/7 - 124/7*w**3 - 34/7*w - 18/7*w**5.
-2*(w + 1)**4*(9*w + 2)/7
Let x(a) be the second derivative of 7*a**4/12 - 3*a**3 + a**2 + 22*a. Let l(d) = 15*d**2 - 35*d + 5. Let r(s) = 2*l(s) - 5*x(s). Factor r(f).
-5*f*(f - 4)
Suppose 48 = -0*q + 4*q. Let y be 16/q - (-6)/9. What is f in 3/4*f**3 - 3/2*f**y + 3/2*f**4 - 3/4*f**5 + 0 + 0*f = 0?
-1, 0, 1, 2
Let f(d) = 5*d - 34. Let g be f(8). Let o(m) be the second derivative of -3/20*m**5 - 1/4*m**4 - 9*m + 0 + g*m**2 + 2*m**3. Find i such that o(i) = 0.
-2, -1, 2
Let z(k) be the second derivative of 1/10*k**5 - 1/3*k**4 + 3*k + 0*k**2 + 1/3*k**3 + 0. Determine w so that z(w) = 0.
0, 1
Let d = 19314/5 - 3862. Determine l, given that 0*l + 0 + 14/5*l**3 - 8/5*l**2 - 2/5*l**5 - d*l**4 = 0.
-4, 0, 1
Let d(h) be the second derivative of 1/20*h**5 + 0 - 2*h**2 - 1/2*h**4 + 3/2*h**3 - h. Determine v so that d(v) = 0.
1, 4
Let s(a) = 2*a**3 - a**2 - a + 1. Let f(w) = -11*w**3 + 22*w**2 + 23*w - 5. Let q(v) = -3*f(v) - 15*s(v). Factor q(k).
3*k*(k - 18)*(k + 1)
Let u = -17961 + 17964. Suppose -48/13*z - 72/13 + 22/13*z**2 - 2/13*z**u = 0. What is z?
-1, 6
Let l(c) be the first derivative of 3/2*c**4 - c**3 + 51 + 0*c + 0*c**2 - 3/5*c**5. Factor l(y).
-3*y**2*(y - 1)**2
Let r be (16/1440*81)/(6/4). Factor -8/5*u - r + 3/5*u**2.
(u - 3)*(3*u + 1)/5
Let k = 38 - 50. Let i = k - -14. Suppose -1/3*v**i + 1/3*v**3 + 0 - 2/3*v = 0. Calculate v.
-1, 0, 2
Factor 84 - 101*w - 9*w**3 - 59*w + 40*w + 57*w**2.
-3*(w - 2)**2*(3*w - 7)
Let n(p) = p**3 + 12*p**2 + 26*p - 4. Let z be n(-8). Let u be 1/2 + ((-78)/z)/13. Factor -14/11*f**2 + u*f + 0 + 6/11*f**3.
2*f*(f - 2)*(3*f - 1)/11
Suppose -29*g - 103*g + 264 = 0. Let -1 + 1/6*c**g - 5/6*c = 0. What is c?
-1, 6
Let t(d) be the third derivative of d**7/1050 - 7*d**6/300 - d**5/100 + d**4/3 + 14*d**3/15 + 397*d**2. Let t(a) = 0. What is a?
-1, 2, 14
Let f be (29/(-210) + 9/63)/1. Let w(d) be the third derivative of 1/28*d**4 + f*d**5 - 12*d**2 + 0*d + 0 - 1/140*d**6 + 1/735*d**7 - 2/21*d**3. Factor w(p).
2*(p - 2)*(p - 1)**2*(p + 1)/7
Let n(t) be the third derivative of 1/120*t**5 + 0*t + 1/12*t**4 + 0 - 3*t**2 - 1/360*t**6 - 1/2*t**3. Let y(x) be the first derivative of n(x). Factor y(c).
-(c - 2)*(c + 1)
Let r(o) = 14*o**2 - 290*o + 3. Let p(n) = -52*n**2 + 1160*n - 11. Let y(g) = -6*p(g) - 22*r(g). Factor y(k).
4*k*(k - 145)
Let d(c) be the third derivative of 0*c + 0 - 8/3*c**3 + 2/105*c**7 + 4/3*c**4 - 1/5*c**5 - 51*c**2 - 1/15*c**6. Factor d(y).
4*(y - 2)*(y - 1)**2*(y + 2)
Let m(u) be the third derivative of -1/28*u**7 - 1/6*u**4 - 1/4*u**3 + 1/168*u**8 + 0*u + 3/20*u**5 - 40*u**2 + 0 + 1/60*u**6. Determine n so that m(n) = 0.
-1, -1/4, 1, 3
Let c(w) be the second derivative of w**9/20160 - w**7/3360 - 3*w**4/4 + 12*w. Let h(d) be the third derivative of c(d). Find j, given that h(j) = 0.
-1, 0, 1
Let b(v) be the first derivative of 0*v**2 + 18 + 3/8*v**4 + 0*v - 1/10*v**5 + 0*v**3. Factor b(h).
-h**3*(h - 3)/2
Let i(x) be the second derivative of x**4/12 - 5*x**3/6 - 7*x**2 + 61*x. Factor i(u).
(u - 7)*(u + 2)
Find t, given that -2 + 0*t - 3/2*t**4 - 1/2*t**5 + 7/2*t**2 + 1/2*t**3 = 0.
-2, -1, 1
Let p(m) = 12*m**3 + 18*m**2 - 6. Let l(f) = -1 - 5*f**2 - 22*f**2 - f + f**3 + 28*f**2. Let b(r) = -4*l(r) + p(r). Suppose b(z) = 0. Calculate z.
-1, 1/4
Let m be (146/1095)/(1/15). Let h(t) be the first derivative of 2/3*t**3 + 9 - t**m + 0*t. Determine n, given that h(n) = 0.
0, 1
Let u = -3/115 + 487/1035. Let d(h) be the second derivative of -2/3*h**2 + 7/9*h**3 + 0 - u*h**4 + 1/10*h**5 - 2*h. Factor d(j).
2*(j - 1)**2*(3*j - 2)/3
Let a(q) be the third derivative of 0 - 1/24*q**6 - 7/4*q**5 - 245/8*q**4 + 21*q**2 - 1715/6*q**3 + 0*q. Factor a(r).
-5*(r + 7)**3
Let i(l) = -l**3 - 10*l**2 - 17*l + 9. Let d be i(-6). Let p be 3/(d/2) + 96/528. Factor p*w - 1/2*w**2 + 1/2*w**3 + 0.
w**2*(w - 1)/2
Let i(s) = -s**3 + 2*s**2 + s + 7. Let t(z) = -z**2 + z - 1. Let d = 28 - 29. Let a(o) = d*i(o) - 3*t(o). Solve a(r) = 0.
-2, -1, 2
Let i(z) be the third derivative of z**7/490 - z**5/140 - 43*z**2. Find o, given that i(o) = 0.
-1, 0, 1
Let y(i) be the second derivative of 0 + 1/3*i**3 + 1/40*i**5 + 1/40*i**6 + 0*i**2 - 5*i + 0*i**4. Let r(p) be the second derivative of y(p). Factor r(j).
3*j*(3*j + 1)
Let t be 14 - ((-92)/(-22) - 10/55). Factor -6*l**2 - 8*l**2 - t*l**3 + 10*l + 12 + 80*l**4 - 78*l**4.
2*(l - 6)*(l - 1)*(l + 1)**2
Let p be (3 - -1)/(52/(-4) - -15). Suppose -1/2*s**p + 0 - 1/2*s = 0. What is s?
-1, 0
Let o(s) be the second derivative of -2*s + 1/14*s**7 - 9/20*s**5 - 1/4*s**4 + 1/10*s**6 + 0*s**2 + 0 + s**3. Solve o(b) = 0 for b.
-2, -1, 0, 1
Let j(a) = -10*a - 2. Let w be j(-1). What is o in 4*o**3 - 2*o - 8 - 5*o**5 + w + 3*o**5 = 0?
-1, 0, 1
Let x(v) be the first derivative of v**9/1512 - v**8/210 + v**7/210 + v**6/45 - v**5/20 + 19*v**3/3 + 23. Let h(i) be the third derivative of x(i). Factor h(g).
2*g*(g - 3)*(g - 1)**2*(g + 1)
Let t(m) = -m + 2. Let u(l) = -21*l + 60. Let c(b) = 18*t(b) - u(b). Let j be c(8). What is y in 1/2*y**2 + j*y + 0 = 0?
0
Let q(a) be the second derivative of a**9/60480 - a**8/13440 - a**7/3360 + 5*a**4/3 - 5*a. Let j(x) be the third derivative of q(x). Factor j(m).
m**2*(m - 3)*(m + 1)/4
Let o(c) be the second derivative of -c**7/336 + c**6/36 - c**5/48 - 5*c**4/8 + 5*c**3/2 + c - 5. Let y(h) be the second derivative of o(h). Factor y(i).
-5*(i - 3)*(i - 2)*(i + 1)/2
Factor -657*o + 1304*o + 5 + 5*o**2 - 657*o.
5*(o - 1)**2
Let m(k) be the third derivative of -k**6/24 + 155*k**4/24 - 25*k**3 + 445*k**2. Factor m(f).
-5*(f - 5)*(f - 1)*(f + 6)
What is q in 259*q**3 + 632*q**2 - 4*q**5 + 108 + 8*q**4 + 174*q**3 + 84*q**4 - 25*q**3 + 428*q = 0?
-1, 27
Let a(r) be the second derivative of -r**4/24 - 3*r**3/2 - 14*r**2 + 2*r - 11. Find d, given that a(d) = 0.
-14, -4
Factor -2*m**2 + 5*m**2 - 124*m + 1922 - 7*m**2 + 6*m**2.
2*(m - 31)**2
Determine x, given that 8/3*x - 10/3*x**2 - 2*x**3 + 8/3 = 0.
-2, -2/3, 1
Let a(l) be the first derivative of -l**4/36 + l**3/6 - 16*l + 25. Let f(c) be the first derivative of a(c). Solve f(g) = 0.
0, 3
Suppose 31*k - 80 = 13. Factor 3/5*z**2 + 3/5*z + 1/5*z**k + 1/5.
(z + 1)**3/5
Suppose 5*w = -2*z, -z + 6 - 5 = 3*w. Solve -w*i**2 - 19 + 59 - 32 = 0.
-2, 2
Factor -2/5*w**4 + 0 + 4*w + 26/5*w**2 + 4/5*w**3.
-2*w*(w - 5)*(w + 1)*(w + 2)/5
Let b(d) be the second derivative of -d**4/3 + 2*d**3 - 4*d**2 - 150*d + 1. Factor b(v).
-4*(v - 2)*(v - 1)
Let f(r) be the first derivative of r**4/34 - 4*r**3/17 - 15*r**2/17 - 16*r/17 - 52. Find j such that f(j) = 0.
-1, 8
Determine m, given that -121/3*m**3 - 3*m - 22*m**2 + 0 = 0.
-3/11, 0
Let m = 161 + -132. Let a = m + -26. Factor -1/6*u + 1/6 - 5/6*u**2 - 1/2*u**a.
-(u + 1)**2*(3*u - 1)/6
Let n(o) = 2*o**3 - o**2 - o + 1. Let j(a) = -68*a**4 + 160*a**3 - 98*a**2 + 6*a + 6. Let u(c) = j(c) - 6*n(c). Let u(p) = 0. Calculate p.
0, 3/17, 1
Let g(z) be the second derivative of -z**5/140 + 29*z**4/84 - 55*z**3/42 + 27*z**2/14 - 2*z + 2. Factor g(u).
-(u - 27)*(u - 1)**2/7
Let q = -106 + 109. Factor 9*v + q*v**4 - 41 + v**3 + 3*v**2 - 10*v**3 + 35.
3*(v - 2)*(v - 1)**2*(v + 1)
Let r(n) be the first derivative of n*