 + 968 + 215*p**4 - 472*p**3 - 256*p**2 - 4*p**5 + 181*p**4 = 0. What is p?
-1, 2, 11
Let m(y) be the second derivative of 3*y**5/20 + 4*y**4 + 15*y**3/2 - 2*y + 1224. Factor m(c).
3*c*(c + 1)*(c + 15)
Let i be 5*6/45*3. Let j(z) be the second derivative of -1/3*z**i + 0 - 1/90*z**6 - 11/120*z**5 - z - 4/9*z**3 - 7/24*z**4. Find y such that j(y) = 0.
-2, -1, -1/2
Factor -2/11*g**2 - 62/11*g + 0.
-2*g*(g + 31)/11
Let m(g) = 22*g - 108. Let r be m(5). Let j(f) be the second derivative of 1/315*f**6 + 2/105*f**5 + 0 + 0*f**r + 26*f + 2/63*f**3 + 5/126*f**4. Factor j(x).
2*x*(x + 1)**2*(x + 2)/21
Let m(u) be the third derivative of u**7/490 + 4*u**6/35 + 3*u**5/14 - 4*u**4/7 - 31*u**3/14 + 4466*u**2. Determine g, given that m(g) = 0.
-31, -1, 1
Factor -724 + 1444 - 10*c - 720 + c**2.
c*(c - 10)
Let v be (120/(-75))/((-192)/80). Suppose 1/6*s**3 - 5/6*s + 0 - v*s**2 = 0. What is s?
-1, 0, 5
Let l = 309 - 305. Factor u**2 + u - 6 - l*u - 12*u**2 + 14*u**2.
3*(u - 2)*(u + 1)
Let n(y) be the first derivative of 13*y**4/7 + 8*y**3/21 - 104*y**2/7 - 32*y/7 - 1804. Factor n(h).
4*(h - 2)*(h + 2)*(13*h + 2)/7
Let g(i) be the first derivative of -i**4/96 + i**3/6 + 58*i + 25. Let z(t) be the first derivative of g(t). Determine x, given that z(x) = 0.
0, 8
Let p(z) = -z - 20. Let b be p(-15). Let r be ((-2)/((-10)/b))/((-4)/98). Factor 7*l + 1/2*l**2 + r.
(l + 7)**2/2
Let g be (-8 + 98)/6 - 8 - 7. Let d(o) be the third derivative of g*o + 0 - o**3 + 2*o**2 - 3/20*o**5 + 5/8*o**4. Factor d(h).
-3*(h - 1)*(3*h - 2)
Let u(i) = 29*i**3 - 331*i**2 + 335*i - 6. Let d(g) = -18*g**3 + 330*g**2 - 334*g + 4. Let q(p) = 3*d(p) + 2*u(p). Find k such that q(k) = 0.
-83, 0, 1
Let y(r) = 25*r**3 - r. Let t(s) = -123*s**3 - 252*s**2 + 8423*s - 29768. Let x(k) = -t(k) - 5*y(k). Find m such that x(m) = 0.
4, 61
Let c = -84/191 - -2757/4966. Let f(r) be the first derivative of c*r**4 + 0*r + 0*r**2 - 17 - 6/65*r**5 + 1/39*r**6 - 2/39*r**3. Solve f(x) = 0.
0, 1
Let j(b) be the first derivative of 0*b**3 + 0*b**4 + 1/10*b**5 + 0*b**2 - 15*b - 1. Let k(c) be the first derivative of j(c). What is z in k(z) = 0?
0
Let d(i) = -i + 7. Suppose -11 = -5*t + g + 7, 3*t - 2 = 5*g. Let b be d(t). Determine p so that -94 + 486*p - p**4 + 234 + 26*p**b + 314 - 216*p**2 + 275 = 0.
-1, 9
Let x = 1966/15 + -131. Let r(y) be the first derivative of -20 + 5/12*y**4 + 7/9*y**3 + 0*y + 1/2*y**2 + x*y**5. Solve r(v) = 0.
-3, -1, 0
Let q(h) = -h**2 - 9*h - 9. Let s be q(-2). Solve j**2 - 2 + s*j - 3 - 1 - 4*j = 0 for j.
-3, 2
Factor -138865*s + 2365*s**2 + 89438*s - 5*s**3 - 226653*s - 849660.
-5*(s - 238)**2*(s + 3)
Let t(g) be the second derivative of -g**7/14 - 25*g**6/2 + 381*g**5/20 + 125*g**4/4 - 63*g**3 - 3*g + 55. Let t(b) = 0. What is b?
-126, -1, 0, 1
Let x(p) be the second derivative of 0*p**3 + 5*p + 0 - 3/8*p**4 + 1/20*p**5 + 45/2*p**2. Let i(k) be the first derivative of x(k). Factor i(z).
3*z*(z - 3)
Let n(c) = -35*c**2 - 230*c - 350. Let f(i) = 5*i**2 + 6*i**2 + 48 + 76*i + 93 - 24. Let x(y) = 10*f(y) + 3*n(y). Find g such that x(g) = 0.
-12, -2
Let o(l) be the second derivative of 3*l**5/20 + 2*l**4 + 8*l**3 + 551*l. Factor o(i).
3*i*(i + 4)**2
Let x(y) be the first derivative of y**6/12 + y**5/5 + 1610. Factor x(o).
o**4*(o + 2)/2
Let v = -98255/12 - -8190. Let q(o) be the third derivative of 0*o - v*o**3 - 41*o**2 - 5/8*o**4 + 0 - 7/160*o**5 - 1/960*o**6. Let q(r) = 0. Calculate r.
-10, -1
Let v be (554/(-3601))/((-32)/26). Let o(m) be the second derivative of -1/12*m**3 + 1/120*m**6 - 19*m - v*m**2 + 1/40*m**5 + 0 + 0*m**4. What is s in o(s) = 0?
-1, 1
Let h be ((-44)/(-341))/((-52)/(-806)). Factor -228/5*r - 6/5*r**h - 2166/5.
-6*(r + 19)**2/5
Factor -1/2*d**4 - 47*d**2 + 0*d + 0 + 95/2*d**3.
-d**2*(d - 94)*(d - 1)/2
Suppose -493*j - 24934 = -30850. Factor 126/5 + 6/5*o**2 + j*o.
6*(o + 3)*(o + 7)/5
Let w be -3 + (-3)/(-1) + 20 - 0. Suppose -4*n + 7*n - w = 4*c, n + 2*c = 0. Factor -2*z**n - 3*z - 4*z**2 - 6*z**3 + z + z - 2*z**4 - z**5.
-z*(z + 1)**4
Suppose 8 = -2*x, 0 = a - 8*x + 6*x - 12. Determine m so that -68*m**3 + 64 - 60*m**2 - 812*m**a + 1621*m**4 - 813*m**4 + 68*m = 0.
-16, -1, 1
Let h(g) be the third derivative of 163*g**6/10 - 976*g**5/15 + 485*g**4/6 + 4*g**3/3 + 9*g**2 - 15*g. Factor h(s).
4*(s - 1)**2*(489*s + 2)
Suppose -2*d + 0 = 4, -4*d = 3*j + 11. Let f(h) = -4*h**3 + 4*h**2 + 4*h - 1. Let q be f(j). Factor -q*i**2 + 0*i + 3/2 + 0*i**3 + 3/2*i**4.
3*(i - 1)**2*(i + 1)**2/2
Factor -200 + 730/3*t - 35/3*t**2.
-5*(t - 20)*(7*t - 6)/3
Let i be (-8)/(-12)*22/4*-3. Let t be (5 + i)*4/(-12). Factor -5*j - 870*j**2 + 850*j**t + 10 + 4*j**3 + 11*j**3.
5*(j - 1)**2*(3*j + 2)
Let s = 5301 - 31805/6. Let z(r) be the first derivative of -3/4*r + s*r**3 - 1/8*r**2 + 11. Suppose z(o) = 0. What is o?
-1, 3/2
Let j(z) = -z**2 + z - 1. Let x(w) = -287*w**2 - 291*w + 5. Let i(c) = 3*j(c) + x(c). Solve i(a) = 0 for a.
-1, 1/145
Let r(t) be the first derivative of -t**6/42 - t**5 + 37*t**4/28 + 5*t**3/3 - 18*t**2/7 + 768. Find b such that r(b) = 0.
-36, -1, 0, 1
Suppose 117*c + 144*c + 2 + 5 = 7. Factor 48/13*o**2 - 46/13*o + c - 2/13*o**3.
-2*o*(o - 23)*(o - 1)/13
Suppose 5*l = n + 1979, 3*l + l + 5*n - 1589 = 0. Let d be (4 - -2)/(l/168). Solve -d*o**2 - 42/11*o**3 + 40/11*o - 2/11*o**5 + 48/11 - 16/11*o**4 = 0.
-3, -2, 1
Let k(c) = 62*c**2 - 523*c + 221. Let h be k(8). Find v such that 10/9*v**4 + 14/9*v**2 - 2/3*v - 8/9*v**h + 38/9*v**3 + 0 = 0.
-1, 0, 1/4, 3
Let a be (6 + -20)*14/((-11466)/81). Let -12/13*p**3 + 0*p + 2/13*p**4 + a*p**2 + 0 = 0. Calculate p.
0, 3
Factor -4957*l**2 + 141120*l + 4*l**3 - 6180*l**2 + 9665*l**2 - 1036800.
4*(l - 180)**2*(l - 8)
Let k(x) = -2*x**4 + 2*x**3 - 2*x**2 + x + 1. Let p(z) = 11*z**4 + 634*z**3 + 155536*z**2 + 16693119*z + 671898236. Let r(t) = -5*k(t) - p(t). Factor r(o).
-(o + 161)**4
Solve 101/10 - 10*c - 1/10*c**2 = 0 for c.
-101, 1
Factor 0 - 23/4*r**2 - 7/2*r**3 - r + 5/4*r**4.
r*(r - 4)*(r + 1)*(5*r + 1)/4
Let p = -13313 - -13317. Let o(y) be the third derivative of 0 + 1/12*y**p - 34*y**2 - 1/60*y**6 + 0*y**5 + 0*y**3 + 0*y. Factor o(k).
-2*k*(k - 1)*(k + 1)
Let r(v) be the first derivative of -2*v**5/25 - v**4/2 + 16*v**3/15 + 12*v**2/5 - 10927. What is y in r(y) = 0?
-6, -1, 0, 2
Let i(d) = -d**2 - 18*d + 24. Let u be i(-16). Let c be 299/u + 18/48. Solve 20/7*o**3 + 30/7*o + 0*o**4 - 8/7 - 2/7*o**5 - c*o**2 = 0 for o.
-4, 1
Let f(y) be the second derivative of -3/2*y**2 + 3 - 1/18*y**4 + 73/36*y**3 + 11*y. Factor f(x).
-(x - 18)*(4*x - 1)/6
Let f(d) be the third derivative of 2*d**7/105 - 18*d**6/5 + 658*d**5/5 - 6566*d**4/3 + 19894*d**3 + 7075*d**2. Factor f(h).
4*(h - 87)*(h - 7)**3
Let b(m) = -m**2 + 3*m + 20. Let d(r) = r**2 + 14*r - 9. Let k be d(-15). Let x be b(k). Factor 9*h**x + 18*h**2 + 28*h**3 - 19*h**2.
4*h**2*(7*h + 2)
Let a be 3/(-12) + 261/36. Let b be 4 + (-4 - (3 - a)). Determine q, given that 12 + 6*q**2 - 4 - 8 + 2*q**b + 8*q**3 = 0.
-3, -1, 0
Let l(n) be the first derivative of n**6/1440 - n**5/320 - n**4/96 + 121*n**3/3 + 71. Let y(m) be the third derivative of l(m). Factor y(z).
(z - 2)*(2*z + 1)/8
Let m(i) be the second derivative of i**5/330 + 5*i**4/132 - 2*i**3/11 - 43*i**2 + 10*i. Let l(o) be the first derivative of m(o). Let l(h) = 0. Calculate h.
-6, 1
Suppose -96 = -21*i - 348. Let f be (i/(-27))/((-15)/(-9)). Find c such that f*c**2 + 0 - 2/5*c + 2/15*c**3 = 0.
-3, 0, 1
Let x(u) = -27*u + 28*u + 1 - u**2 - 3. Let f(p) = -5*p**2 + p + 6. Let q(w) = f(w) - 3*x(w). What is t in q(t) = 0?
-3, 2
Let p(i) be the first derivative of -3/5*i**4 + 2/15*i**6 - 24/25*i**5 + 64/15*i**3 + 0*i + 62 + 24/5*i**2. Let p(w) = 0. What is w?
-1, 0, 2, 6
Let d = 3983 - 3976. Let t(z) be the second derivative of -17*z + 0 - 2/21*z**d - 4/3*z**4 - 6/5*z**5 + 0*z**2 - 8/15*z**6 - 2/3*z**3. Let t(u) = 0. What is u?
-1, 0
Suppose -5*r = -4214 + 1439. Factor -10 - 553*o**2 + r*o**2 - 6 + 31*o.
(o + 16)*(2*o - 1)
Let i = -2371 - -2377. Let z(a) be the first derivative of 0*a**3 + 1/48*a**i + 0*a + 0*a**2 - 3/40*a**5 + 0*a**4 + 25. Factor z(u).
u**4*(u - 3)/8
Let c(t) be the second derivative of -t**6/6 + 25*t**5/2 + 5*t**4/4 - 370*t**3/3 - 250*t**2 + 264*t - 2. Solve c(y) = 0 for y.
-1, 2, 50
Suppose -268/7*l**2 + 64