erivative of x**5/150 - 3*x**3/5 - 216*x**2. Factor o(r).
2*(r - 3)*(r + 3)/5
Let g(f) be the second derivative of -f**6/720 - f**5/60 - f**4/16 + 11*f**3/6 + 7*f. Let a(d) be the second derivative of g(d). Solve a(x) = 0.
-3, -1
Factor -1/4*r**2 - 2209/4 - 47/2*r.
-(r + 47)**2/4
Let v = -93 + 95. Suppose v*n = -5*n + 2*n. Suppose 2/13*h**3 + 0*h + 0*h**2 + n = 0. What is h?
0
Let s(k) = -k + 6. Let v(i) = 1. Let t(g) = s(g) - v(g). Let r be t(5). Factor r - 3 - 4*c - 14*c**2 + 13*c**2.
-(c + 1)*(c + 3)
Let w(z) be the first derivative of -2*z**5/25 - 4*z**4/5 + 6*z**3/5 + 108*z**2/5 - 216*z/5 - 198. Determine a, given that w(a) = 0.
-6, 1, 3
Let m(s) = 16*s**2 - 73*s - 29. Let r be (-11 + -31)*(-2)/4*1. Let t(h) = 63*h**2 - 291*h - 117. Let n(w) = r*m(w) - 5*t(w). Find l such that n(l) = 0.
-2/7, 4
Let s(g) = 30*g. Let r be s(3). Let a = 323 + -311. Factor 90*h**4 + a + 435/2*h**3 + 225*h**2 + 27/2*h**5 + r*h.
3*(h + 2)**3*(3*h + 1)**2/2
Let l(q) be the first derivative of q**4/138 - 4*q**3/23 + 36*q**2/23 - 9*q - 33. Let x(c) be the first derivative of l(c). Let x(n) = 0. What is n?
6
Let -36/5 - 1083/5*u**3 - 3477/5*u**2 - 696/5*u = 0. Calculate u.
-3, -2/19
Let u(f) be the third derivative of -f**6/780 - f**5/390 + f**4/39 + 4*f**3/39 - 34*f**2. Suppose u(j) = 0. Calculate j.
-2, -1, 2
Suppose 9*l - 6*l - 6 = 0. Suppose -4*a = l*w - 20, 0*w - 5*w = -5*a + 40. Factor -3*f**2 + 44*f**3 + 2*f - 5*f**2 - 42*f**3 + a*f.
2*f*(f - 2)**2
Let r(o) be the first derivative of -o**3/6 - 26*o**2 - 1352*o + 150. Factor r(f).
-(f + 52)**2/2
Let m = 6 - 2. Suppose 2*o + 2*f + 3*f = 32, -m*f = o - 22. Factor -9 + 1 - o*r - r**2 - 1.
-(r + 3)**2
Let s = -18415/6 - -6139/2. Determine c so that -c**2 + 0 - s*c**3 - 2/3*c = 0.
-2, -1, 0
Let d(w) be the second derivative of 5*w**4/12 - 65*w**3/6 - 75*w**2 + 37*w - 3. Factor d(c).
5*(c - 15)*(c + 2)
Let y = -15 + 17. Suppose -3*t - 5 + 296*t**y + 3 - 297*t**2 = 0. Calculate t.
-2, -1
Solve 2*r**3 - 95/6*r**2 + 7/6*r**4 - 10/3 + 16*r = 0.
-5, 2/7, 1, 2
Let a(y) be the first derivative of y**4/36 - y**3/9 - 27*y + 15. Let p(b) be the first derivative of a(b). What is o in p(o) = 0?
0, 2
Factor 8/3*w - 2/15*w**2 + 14/5.
-2*(w - 21)*(w + 1)/15
Let k(m) be the first derivative of m**5/10 + 101*m**4/4 + 9997*m**3/6 - 5151*m**2 + 5202*m + 532. Factor k(t).
(t - 1)**2*(t + 102)**2/2
Suppose 0 = -6*s + 3*s + 24. Let l be 4/s - 3/(-2). Factor -3*q**l + 5*q**2 + 2*q**3 - q - q**5 - 78*q**4 - 1 + 77*q**4.
-(q - 1)**2*(q + 1)**3
Let u(i) be the second derivative of -3*i**5/140 + 3*i**4/7 - 5*i**3/2 - 642*i. Suppose u(p) = 0. What is p?
0, 5, 7
Factor 122*s - 1/3*s**2 - 11163.
-(s - 183)**2/3
Let x(m) be the first derivative of m**3 - 99*m**2 + 3267*m + 112. Find d, given that x(d) = 0.
33
Suppose -2*m = -m. Determine h so that m*h**2 - 3*h**2 - 3*h**2 + 2*h**2 - 2*h**3 = 0.
-2, 0
Let r = -3888 - -3888. Determine b so that 4/7*b**3 - 4/7*b**4 + 0*b**2 + r + 0*b = 0.
0, 1
Let y(x) = -7*x**2 - 32*x + 19. Let s(o) = -11*o**2 - 49*o + 28. Let t(i) = 5*s(i) - 8*y(i). Factor t(m).
(m - 1)*(m + 12)
Let v(g) = 2*g + 2. Let a(r) be the second derivative of -1/12*r**4 - 4*r - 5/2*r**2 + 0 - r**3. Let z(i) = 2*a(i) + 7*v(i). Suppose z(b) = 0. What is b?
-1, 2
Let a(j) be the third derivative of j**7/2100 + j**6/225 + j**5/75 + 13*j**3/6 - 4*j**2. Let x(g) be the first derivative of a(g). Find n such that x(n) = 0.
-2, 0
Let l(v) be the second derivative of -v**6/10 - 3*v**5/20 + v**4/4 + v**3/2 + 32*v. Let l(a) = 0. What is a?
-1, 0, 1
Let d(a) = a + 8. Let z be d(-5). Suppose n - 19 = h + 3*h, -n = z*h + 9. Suppose 1/4*s**n + 1/4*s**4 - 1/2*s**2 + 0 + 0*s = 0. Calculate s.
-2, 0, 1
Let h(b) be the first derivative of 7*b**3 + 3*b - 4/5*b**5 + 17/2*b**2 + 21 + 3/4*b**4. Factor h(j).
-(j - 3)*(j + 1)**2*(4*j + 1)
Let a(s) be the third derivative of s**8/112 + 2*s**7/35 - s**6/20 - 3*s**5/5 + 9*s**4/8 - 11*s**2. Factor a(k).
3*k*(k - 1)**2*(k + 3)**2
Let j(i) be the second derivative of -i**5/20 + 3*i**4/4 - 5*i**3/2 + 7*i**2/2 + 5*i - 4. Find d such that j(d) = 0.
1, 7
Let y = -2 + 6. Factor -y*g**3 + 0*g**3 + 7*g**5 + 6*g**4 - 9*g**5.
-2*g**3*(g - 2)*(g - 1)
Determine v, given that -2/23*v**4 - 312*v**2 + 248/23*v**3 - 32768/23 - 31744/23*v = 0.
-2, 64
Let b(d) be the first derivative of -2/3*d**3 + 0*d**2 + 1/3*d**4 + 3*d - 1/30*d**6 + 6 + 1/20*d**5. Let l(h) be the first derivative of b(h). Factor l(w).
-w*(w - 2)*(w - 1)*(w + 2)
Determine y so that 45*y**3 + 5*y**5 + 8*y**5 - 19*y**2 - 41*y**4 + 889*y - 887*y = 0.
0, 2/13, 1
Let o be (-4)/(-2)*(3/14 + (-756)/(-588)). Suppose 32/17 + 130/17*s**2 - 50/17*s**o - 112/17*s = 0. What is s?
4/5, 1
Factor -13*w - 23*w**4 - 6 - 1079*w**3 - 7*w**2 + 1080*w**3 + 24*w**4.
(w - 3)*(w + 1)**2*(w + 2)
Determine i so that -800/13*i**2 - 2/13 + 80/13*i = 0.
1/20
Let s(q) be the first derivative of -q**3/6 + 15*q**2/4 - 196. Factor s(r).
-r*(r - 15)/2
Let x be (-19)/((-532)/16) + 5/(-21). Let w(t) be the second derivative of -1/10*t**5 + 1/15*t**6 + x*t**3 + t + 0 - 1/6*t**4 + 0*t**2. Factor w(a).
2*a*(a - 1)**2*(a + 1)
Factor 1/5*i**2 + 21/5 - 2*i.
(i - 7)*(i - 3)/5
Let z(c) = -102*c + 3*c**2 + 198*c + 1 - 102*c - c**2. Let l(g) = 2*g**2 - 6*g + 2. Let y be 22/6 + (-6)/9. Let j(q) = y*l(q) - 2*z(q). Factor j(f).
2*(f - 2)*(f - 1)
Solve 24*o + 269*o**3 + 186*o**4 - 182*o**4 - 44*o**2 - 253*o**3 = 0.
-6, 0, 1
Let d = 4/11 + 10/33. Let r(n) = -2*n**3 + 26*n**2 - 2*n + 28. Let h be r(13). Factor -d*k**h + 0 - 10/9*k**3 + 4/9*k.
-2*k*(k + 1)*(5*k - 2)/9
Suppose 0 = -10*s + 47 + 3. Let x(d) be the second derivative of 0*d**2 - 7/36*d**4 + 1/9*d**3 + 0 + 1/12*d**s - 4*d. Find g, given that x(g) = 0.
0, 2/5, 1
Factor -1/4*r**3 + 45/4 + 15/4*r**2 - 59/4*r.
-(r - 9)*(r - 5)*(r - 1)/4
Let k = -1304 - -3917/3. Let m(a) be the first derivative of 2*a - 3 + k*a**3 - 7/2*a**2. Determine b so that m(b) = 0.
2/5, 1
Let q(s) = 6*s**3 + 5*s**2 - s - 5. Let l(k) = 7*k**3 + 6*k**2 - k - 6. Let p(g) = -5*l(g) + 6*q(g). Factor p(y).
y*(y - 1)*(y + 1)
Let d = -1897/30 + 190/3. Let p(y) be the first derivative of 18/25*y**5 + 2 - 9/5*y**4 + 0*y**2 + 0*y + 8/5*y**3 - d*y**6. Factor p(l).
-3*l**2*(l - 2)**3/5
Suppose 16*c = -32*c + 144. Let x(f) be the first derivative of 0*f - 1/6*f**c - 1/24*f**4 + 0*f**2 + 4. Factor x(u).
-u**2*(u + 3)/6
Let m(d) be the third derivative of d**7/420 - d**5/60 - 31*d**3/6 + 18*d**2 + 2*d. Let k(l) be the first derivative of m(l). Suppose k(h) = 0. Calculate h.
-1, 0, 1
Let z(h) be the second derivative of 0 + 13/6*h**4 + 1/3*h**7 - 6*h + 27/10*h**5 + 23/15*h**6 + 0*h**2 + 2/3*h**3. Factor z(a).
2*a*(a + 1)**3*(7*a + 2)
Let j(k) be the second derivative of 0*k**2 + 3/25*k**5 - 2/5*k**3 - 5*k + 1/20*k**4 - 1/50*k**6 + 0. Let j(s) = 0. What is s?
-1, 0, 1, 4
Let u = 89 - 87. Solve -u*b - 5*b + 9*b - b**2 + 0*b**2 - 1 = 0 for b.
1
Let q(l) be the third derivative of 0*l**4 + 0 + 1/2*l**3 + 1/140*l**5 + 1/1260*l**6 - 4*l**2 + 0*l. Let n(x) be the first derivative of q(x). Solve n(p) = 0.
-3, 0
Suppose -2*d + 4 = -4. Let t(k) = -k**3 + 4*k**2 + 2*k - 3. Let f be t(d). Factor 7*h**2 + 9*h**3 - 4*h**3 - h + h**f + 4*h**3 + 5*h**4 + 3*h.
h*(h + 1)**3*(h + 2)
Let i(c) = -c**3 - 18*c**2 - 18*c - 1. Let k be i(-17). Let b = k + -14. Find p, given that -3*p**2 + 7*p**2 - 31*p**b - 12*p**3 - 6*p = 0.
-2, -1/4, 0
Let s(w) = -8*w**2 + 205*w + 204. Let t(x) = -15*x**2 + 410*x + 410. Let i(r) = 5*s(r) - 3*t(r). Solve i(p) = 0 for p.
-1, 42
Let q = 29514 - 147506/5. What is m in 16/5*m - 1/5*m**2 - q = 0?
8
Let p(j) be the second derivative of 8/21*j**4 + 0 - 1/147*j**7 - 16/7*j**2 + 0*j**3 + 9*j + 2/35*j**5 - 1/35*j**6. Determine y, given that p(y) = 0.
-2, 1, 2
Suppose -4*h + 4 = -o + 2*o, -8 = -2*o - 2*h. Suppose -4*b - b = -o*y - 6, 0 = -2*y + 2. Factor 1 - 4*a - 6 - a**2 + b.
-(a + 1)*(a + 3)
Suppose -14*u - c = -12*u - 3, -2*u = 3*c - 1. Solve 0*m + 0*m**u - 2/3*m**5 + 0 + 4/3*m**4 + 0*m**3 = 0.
0, 2
Suppose -89*p = -92*p. Find o, given that 2/17*o**5 + 0*o**3 - 4/17*o**2 - 2/17*o + 4/17*o**4 + p = 0.
-1, 0, 1
Suppose 25*n + 65*n = 0. Factor 2/9*x**2 - 2/3*x**5 + n*x + 0 - 10/9*x**4 - 2/9*x**3.
-2*x**2*(x + 1)**2*(3*x - 1)/9
Factor 32*y**3 - 28*y**3 + 160 - 3*y**4 + 0*y**4 + 72*y**2 - y**4 - 208*y.
-