*x. Let m(l) be the first derivative of b(l). Determine d so that m(d) = 0.
0, 3
Let h(g) be the second derivative of 5*g**6/24 - 27*g**5/8 + 829*g**4/48 - 45*g**3/2 + 25*g**2/2 - 332*g. Determine d so that h(d) = 0.
2/5, 5
Let u be ((-5)/3)/((-7)/21). Factor 10*h**5 - 2*h**4 - 5*h**3 - 5*h**u + 2*h**4.
5*h**3*(h - 1)*(h + 1)
Let n(b) = -115*b**4 + 30*b**3 + 565*b**2 - 155*b. Let u(c) = -19*c**4 + 5*c**3 + 94*c**2 - 26*c. Let r(s) = 6*n(s) - 35*u(s). Factor r(l).
-5*l*(l - 2)*(l + 2)*(5*l - 1)
Let y = -5729/3 + 63043/33. Solve 2/11*p**2 - y + 6/11*p = 0 for p.
-4, 1
Let c(m) be the first derivative of m**4/18 - 4*m**3/3 + 20*m**2/3 - 112*m/9 + 77. Suppose c(x) = 0. Calculate x.
2, 14
Let b(x) be the second derivative of -x**6/105 - 3*x**5/70 + 9*x**4/14 - 13*x**3/21 - 6*x**2 + 69*x - 1. What is t in b(t) = 0?
-7, -1, 2, 3
Let h = -209 - -226. Suppose 14*j = h*j - 6. Factor 4/5 - 8/5*y + y**j - 1/5*y**3.
-(y - 2)**2*(y - 1)/5
Let t = 361 + -135. Let a = t - 226. Find k such that -1/2*k**3 - 1/4*k**4 + 1/4*k**2 + a + 1/2*k = 0.
-2, -1, 0, 1
Determine g, given that 3/7*g**5 + 0 + 3/7*g**4 - 12/7*g**3 - 12/7*g**2 + 0*g = 0.
-2, -1, 0, 2
Suppose -4*a + 3*a = -15*a. Let l(m) be the third derivative of -1/8*m**6 + 8*m**2 - 2*m**3 + 7/20*m**5 + m**4 + 0 + a*m. Suppose l(o) = 0. Calculate o.
-1, 2/5, 2
Let r(x) be the second derivative of 0*x**2 - 1/66*x**4 - 24*x + 4/33*x**3 + 0. Solve r(q) = 0.
0, 4
Let s(b) be the first derivative of -2*b**3 + 3/5*b**5 + 3/2*b**4 - 3/2*b**2 + 3*b - 3 - 1/2*b**6. Determine o, given that s(o) = 0.
-1, 1
Let u be (0 - ((18 - -1) + -4))*10/(-30). Suppose 1/2*s**u + 5/2*s**4 + 0 + 0*s + 3/2*s**3 - 9/2*s**2 = 0. What is s?
-3, 0, 1
Let v(h) be the second derivative of -h**7/1260 - h**6/90 - h**5/20 - h**4/9 - h**3/2 - 20*h. Let d(s) be the second derivative of v(s). Factor d(n).
-2*(n + 1)**2*(n + 4)/3
Let c(g) be the second derivative of -g**7/189 + g**5/45 - g**3/27 - 25*g. Factor c(q).
-2*q*(q - 1)**2*(q + 1)**2/9
Let s = -137/13 + 463/39. Solve 0*l + 4/3*l**3 + 0 + s*l**2 = 0.
-1, 0
Let z be 49/((-1911)/(-78)) + (-4)/6. Determine a, given that a**3 - a + z*a**2 - 2/3 - 2/3*a**4 = 0.
-1, -1/2, 1, 2
Let q = -1515 + 1519. Factor -1/5 + 2/5*w**2 + 2/5*w**3 - 1/5*w**q - 1/5*w**5 - 1/5*w.
-(w - 1)**2*(w + 1)**3/5
Factor -22*f**2 + 3*f - 6 + 0 + 12*f**2 + 13*f**2.
3*(f - 1)*(f + 2)
Let y(p) be the first derivative of -p**9/1512 + p**7/140 + p**6/90 + 26*p**3/3 + 51. Let g(b) be the third derivative of y(b). Factor g(i).
-2*i**2*(i - 2)*(i + 1)**2
Let n(q) be the third derivative of -q**8/60480 - q**7/15120 + q**6/1080 - q**5/12 - 4*q**2. Let w(r) be the third derivative of n(r). Factor w(s).
-(s - 1)*(s + 2)/3
Let y be 1 - (3 - 5) - 4/8. Let j(b) be the first derivative of 4 - 7/5*b**5 - 2*b + 5/4*b**4 - y*b**2 + 3*b**3. Find k such that j(k) = 0.
-1, -2/7, 1
Let n = -166 + 168. Factor -96 + 50 - 60*w - 4*w**n + 46.
-4*w*(w + 15)
Suppose -109*r**2 - 17689 + 266*r + 60*r**2 + 48*r**2 = 0. Calculate r.
133
Let b = 55/9 + -52/9. Let f(d) be the second derivative of -b*d**4 + 1/10*d**5 + 0 + 0*d**2 - d**3 - d. Factor f(c).
2*c*(c - 3)*(c + 1)
Let q(p) be the first derivative of -p**4/4 - 13*p**3/3 + p**2/2 + 13*p + 68. Find j such that q(j) = 0.
-13, -1, 1
Let w be 77/28 - 2/(-8). Solve r**4 + 3*r - w*r**3 - 2*r**4 + 4*r**4 - 3*r**2 = 0 for r.
-1, 0, 1
Suppose -23*q + 24*q - 3 = 0. Factor 0*p**q + 2*p**3 + 7*p**2 + 4 + p**2 - 13*p + 23*p.
2*(p + 1)**2*(p + 2)
Let a(c) = c**2 - 20*c + 88. Let u be a(6). Let w(q) be the second derivative of -1/15*q**3 - 8*q + 0 - 1/50*q**5 + 0*q**2 - 1/15*q**u. Let w(m) = 0. What is m?
-1, 0
Let g(b) be the third derivative of -b**5/100 - 29*b**4/40 - 14*b**3/5 - 112*b**2 + 2. Factor g(d).
-3*(d + 1)*(d + 28)/5
Let w(c) be the first derivative of -c**3/6 - 24*c**2 - 1152*c - 160. Factor w(m).
-(m + 48)**2/2
Factor -1720*c - 2448*c**2 - 10 + 162*c**3 - 58 - 63*c**2 - 124 - 1305*c**2.
2*(c - 24)*(9*c + 2)**2
Let j(b) be the third derivative of b**7/630 - b**6/120 - b**5/30 + b**4/9 + 14*b**2 + 8*b. Let j(u) = 0. What is u?
-2, 0, 1, 4
Let n be (-60)/(-9)*12/(-8). Let l be ((-12)/168)/((-1)/n) + 1. Solve l*q**3 + 0 + 2/7*q + 4/7*q**2 = 0 for q.
-1, 0
Let p(o) be the second derivative of -o**7/210 - o**6/9 - 5*o**5/6 + o**3/3 + 7*o**2 - 52*o. Let u(f) be the second derivative of p(f). Factor u(t).
-4*t*(t + 5)**2
Let g = 12244 + -61178/5. Factor -3/5*z**2 + g*z - 147/5.
-3*(z - 7)**2/5
Let k = 4 - 2. Suppose -7 = -k*x - 3. Find f, given that 75*f**3 - 175*f**4 - 88*f - 250*f**5 + 76*f**x + 16 + 155*f**3 - 25*f**4 = 0.
-1, 2/5
Let c be (-1)/7 + (-1 - (-24)/21). Let d(t) be the first derivative of c*t + 28*t**3 + 6 - 147/4*t**4 - 6*t**2. Suppose d(f) = 0. What is f?
0, 2/7
Let w(z) be the second derivative of z**9/9072 - z**7/2520 - 5*z**3/2 + 8*z. Let x(c) be the second derivative of w(c). Factor x(f).
f**3*(f - 1)*(f + 1)/3
Let m = -1769/10 - -177. Let y(x) be the third derivative of 0*x + 1/100*x**5 + 3/10*x**3 + m*x**4 - 10*x**2 + 0. Let y(f) = 0. Calculate f.
-3, -1
Find y, given that 817*y + 5*y**3 + 65*y**2 - 1571*y + 0*y**3 + 804*y - 120 = 0.
-12, -2, 1
Let c(r) = 2*r**4 + 12*r**3 + 15*r**2 + 8*r - 3. Let u(a) = -25*a**4 - 145*a**3 - 180*a**2 - 95*a + 35. Let m(p) = 35*c(p) + 3*u(p). Factor m(f).
-5*f*(f + 1)**3
Let z(j) = -j**3 - 16*j**2 - 11*j + 62. Let f be z(-15). Find q such that -6/11*q - 2/11*q**f - 4/11 = 0.
-2, -1
Let a(n) = -1. Let m(t) = 5*t**4 + 95*t**3 + 390*t**2 + 580*t + 275. Let i(k) = -5*a(k) + m(k). Factor i(r).
5*(r + 1)*(r + 2)**2*(r + 14)
Let o(h) be the second derivative of -1/6*h**3 - 1/12*h**4 + 0 - 4*h + 0*h**2. Find g, given that o(g) = 0.
-1, 0
Let q = -45408 - -136232/3. Let 4/3*c**3 - 2/3 - 2/9*c**4 - q*c**2 + 20/9*c = 0. What is c?
1, 3
Let l(h) = 2*h**2 - h - 1. Let k(g) = -8*g**2 + 38*g + 66. Let q(o) = k(o) + 6*l(o). Solve q(m) = 0 for m.
-5, -3
Let f(o) = 3*o**3 + 23*o**2 - 58*o + 4. Let q be f(2). Determine c, given that -1/4*c**5 + 0*c**q - 1/4*c + 0 + 0*c**2 + 1/2*c**3 = 0.
-1, 0, 1
Let h = 112431/76 - 5917/4. Factor 0*c - 8/19*c**4 - h*c**5 + 0 - 4/19*c**2 - 10/19*c**3.
-2*c**2*(c + 1)**2*(c + 2)/19
Let g(z) be the first derivative of -z**6/6 + 8*z**5/5 - z**4 - 26*z**3/3 + 37*z**2/2 - 14*z - 333. Determine h so that g(h) = 0.
-2, 1, 7
Let k(q) be the second derivative of 0 + 8*q + 1/3*q**2 + 2/9*q**3 + 1/18*q**4. Factor k(v).
2*(v + 1)**2/3
Let y be (((-2795)/(-26))/43)/(1/2). Factor -16/3*v**2 - 3*v - 2*v**4 - 14/3*v**3 - 1/3*v**y - 2/3.
-(v + 1)**4*(v + 2)/3
Let j(u) = -u**3 - 7*u**2 - 52*u - 60. Suppose -21*b + 7*b - 42 = 0. Let i(s) = -6*s**2 - 51*s - 60. Let o(w) = b*j(w) + 4*i(w). Find d, given that o(d) = 0.
-2, 5
Find m such that 288/13 + 22448/13*m**2 - 384*m + 578/13*m**4 - 544*m**3 = 0.
2/17, 6
Let l(p) be the third derivative of 5*p**6/72 + 5*p**5/36 + p**4/12 - 20*p**2. What is n in l(n) = 0?
-3/5, -2/5, 0
Let m(z) be the third derivative of 9*z**2 + 0*z**3 + 0*z - 1/42*z**4 + 0 + 1/210*z**5. Factor m(c).
2*c*(c - 2)/7
Suppose 30*s - 70*s**3 - 4*s + 67*s**3 + 10*s - 12*s**2 = 0. Calculate s.
-6, 0, 2
Factor -37/3*x - 2 - 32/3*x**2 + 5*x**3.
(x - 3)*(3*x + 2)*(5*x + 1)/3
Suppose -4 + 1/3*v**3 + 4*v**2 - 1/3*v = 0. Calculate v.
-12, -1, 1
Let m = 545 + -542. Let c(i) be the second derivative of -4/3*i**3 - 2*i**2 + 0 - 1/3*i**4 - m*i. What is r in c(r) = 0?
-1
Let j(r) be the first derivative of -4 + 0*r**2 - 1/27*r**3 + r + 1/54*r**4. Let k(u) be the first derivative of j(u). Suppose k(l) = 0. Calculate l.
0, 1
Let o(a) be the first derivative of -a**4/4 - 200*a**3 - 60000*a**2 - 8000000*a + 225. Factor o(y).
-(y + 200)**3
Let r(g) be the first derivative of -15 - 45/2*g**4 - 36*g**2 + 43*g**3 + 21/5*g**5 + 12*g. Find n, given that r(n) = 0.
2/7, 1, 2
Factor 0*h - 3*h**2 + 3/2*h**4 + 0 - 3/2*h**3.
3*h**2*(h - 2)*(h + 1)/2
Solve 1023*w**2 - 1019*w**2 - 20 - 9*w - 7*w = 0 for w.
-1, 5
Let q(d) = d**2 - 15*d + 15. Let i be q(14). Let s be 20/8 - i/(-2). Factor -l**2 + 3*l**2 - 7*l + s*l + 2*l**3.
2*l*(l - 1)*(l + 2)
Let s(r) be the second derivative of 5*r**4 + 0*r**2 + 9/4*r**5 + 10/3*r**3 - 1/3*r**6 + 0 - 5/14*r**7 + 6*r. Let s(v) = 0. Calculate v.
-1, -2/3, 0, 2
Let x(d) be the third derivative of 0*d**6 + 0*d**3 + 1/630*d**7 + 0*d**4 + 0*d