+ 121/2*h**o.
(3*h - 1)*(11*h + 2)**2/6
Suppose 7*c - 19*c = -11*c. Factor 0*k + 4/5*k**5 + c*k**2 + 0 + 4/5*k**4 - 8/5*k**3.
4*k**3*(k - 1)*(k + 2)/5
Let z = -6652 + 6655. Let d(k) be the second derivative of 3/70*k**5 + 8*k + 0 - 1/6*k**4 + 2/7*k**2 - 1/7*k**z + 1/21*k**6. Determine s so that d(s) = 0.
-1, 2/5, 1
Let k(v) be the first derivative of -4*v**5/5 + 24*v**4 - 44*v**3 - 508*v**2 + 1056*v - 9474. Suppose k(x) = 0. What is x?
-3, 1, 4, 22
Suppose -258*z = -253*z - 10. Suppose -15*i - 4*i**2 - 6*i**z + 11*i**2 - 2*i**2 = 0. What is i?
-15, 0
Let o(q) = -3*q**2 - 4*q + 2. Let x(k) = 11 + 33*k - 52*k - 13*k**2 - 3*k**2 + 0*k**2. Suppose 3*b - 14 = 4. Let h(a) = b*x(a) - 33*o(a). Factor h(y).
3*y*(y + 6)
Solve 14/3*b - 1/3*b**4 - 14/3*b**3 - 32/3*b**2 + 11 = 0.
-11, -3, -1, 1
Let p(j) be the first derivative of -12/7*j + 8/7*j**2 - 4/21*j**3 + 28. Factor p(s).
-4*(s - 3)*(s - 1)/7
What is p in -660/7*p - 3/7 + 663/7*p**2 = 0?
-1/221, 1
Suppose 10/13*z**3 + 172/13*z**2 + 304/13*z + 0 = 0. Calculate z.
-76/5, -2, 0
Let b(k) be the third derivative of 1/9*k**3 + 0*k - 5/72*k**4 + 1/45*k**5 - 2 + 55*k**2 - 1/360*k**6. Let b(o) = 0. What is o?
1, 2
Suppose 13*w - 53 = 12. Let 5*b**w - b**2 - 13*b**5 + 7*b**5 + b**4 + b**3 + 0*b**2 = 0. What is b?
-1, 0, 1
Let d(v) = -2*v**2 + v - 1. Suppose -4*z = -14 - 6. Let l(j) = -j**4 + 4*j**3 - 3*j**2 + j + 1. Let n(r) = z*l(r) + 5*d(r). Solve n(b) = 0.
0, 1, 2
Factor 47*f**3 + 10*f**2 + 4643*f + 30 - 4*f**4 - 4584*f - 222*f**2 + 80*f**3.
-(f - 30)*(f - 1)**2*(4*f + 1)
Suppose 0 + 3 = q. Let f(w) = 22*w**2 - q*w - 5*w - 21*w**2 + 0*w + 7. Let v(r) = -r**2 + 1. Let g(p) = -f(p) + 3*v(p). Factor g(i).
-4*(i - 1)**2
Let h = -53 + 89. Suppose m = -4, 4*m = 3*r + 2*r - h. Factor -6*i + i**2 + r - 3*i**2 - 2*i**4 + 0*i**2 + 6*i**3.
-2*(i - 2)*(i - 1)**2*(i + 1)
Let z be (-8)/10*(-12 - -23 - 26). Factor -99*a + 36 + 0*a**3 + 0*a**3 - 3*a**3 + z + 54*a**2.
-3*(a - 16)*(a - 1)**2
Let t(b) = b**3 + 20. Let s(h) = 6*h**3 - 11*h**2 + 36*h + 64. Let p(z) = -s(z) + 5*t(z). Determine x, given that p(x) = 0.
2, 3, 6
Let x(c) be the second derivative of c**4/20 + 11*c**3/10 - 39*c**2/5 + 6*c - 1. What is u in x(u) = 0?
-13, 2
Let s = 105 - 93. Let w = s + -5. Factor 125*k - 3*k**3 + 41*k**3 - 8*k**3 + w*k**5 + 200*k**2 - 40*k**4 - 2*k**5.
5*k*(k - 5)**2*(k + 1)**2
Let 294*j + 10*j**3 + 7*j**4 - 205*j - 2*j**4 - 149*j - 55*j**2 = 0. Calculate j.
-4, -1, 0, 3
Suppose 74649*s = 74629*s. Factor s*d**2 + 0*d**4 + 4/5*d**3 - 1/5*d**5 + 0*d + 0.
-d**3*(d - 2)*(d + 2)/5
Let l(x) be the first derivative of -x**6/6 + 34*x**5/5 - 151*x**4/4 + 170*x**3/3 + 62*x**2 - 232*x - 3131. Let l(z) = 0. Calculate z.
-1, 2, 29
Let y = -127 + 129. Factor 46*v**y - 173*v**2 + 192 - 3*v**4 - 11*v**3 - 37*v**3 - 62*v**2 + 48*v.
-3*(v - 1)*(v + 1)*(v + 8)**2
Let o(k) be the first derivative of 150 + 3/25*k**5 + 21/5*k**3 - 57/10*k**2 + 18/5*k - 27/20*k**4. Factor o(h).
3*(h - 6)*(h - 1)**3/5
Let n(x) = x**2 - 9*x + 4. Let j be n(9). Let b be (61/30 + (-1)/(-6))/(6/48). Find q such that -32*q**j + b*q**2 - 12/5*q + 64/5*q**5 - 124/5*q**3 + 0 = 0.
-1, 0, 1/4, 3
Let k = 189 - 151. Determine a, given that a + 0 - k*a**2 + 0 - a + 2*a**4 + 16*a**3 + 20*a = 0.
-10, 0, 1
Let t(z) be the first derivative of z**3/30 - 499*z**2/5 + 498002*z/5 - 1910. Factor t(v).
(v - 998)**2/10
Find z such that -550*z - 6*z**4 + 147*z**2 + 10*z**3 - 395*z**2 - 297*z**2 + 11*z**4 = 0.
-11, -1, 0, 10
Let a = -136 + 132. Let j(b) = 20*b**2 - 30*b + 36. Let o(v) = 6*v**2 - 10*v + 12. Let i(d) = a*j(d) + 14*o(d). Solve i(m) = 0 for m.
2, 3
Factor 1714/13*a + 856/13 + 4/13*a**2.
2*(a + 428)*(2*a + 1)/13
Let c(j) be the first derivative of 69*j**4/32 - 47*j**3/4 + 3*j**2/2 - 479. Factor c(s).
3*s*(s - 4)*(23*s - 2)/8
Suppose -6*q - 77 = 361. Let g = 74 + q. Let s(v) = 6*v**4 - 2*v**3 + 2*v**2. Let n(m) = m**4 - m**3. Let u(i) = g*s(i) - 5*n(i). Factor u(c).
c**2*(c + 1)*(c + 2)
Let a(r) be the second derivative of r**6/50 + 69*r**5/100 - r**4/20 - 23*r**3/10 - 20*r + 16. Find m, given that a(m) = 0.
-23, -1, 0, 1
Let i(m) be the second derivative of 5*m**4/12 - 350*m**3/3 + 12250*m**2 - 65*m - 2. Factor i(c).
5*(c - 70)**2
Let i(j) be the second derivative of 0*j**5 - 2/15*j**6 + 0*j**3 - 8*j**2 - 41*j + 5/3*j**4 - 1. Find f such that i(f) = 0.
-2, -1, 1, 2
Let l(w) = 5*w**4 - 11*w**3 - 64*w**2 - 47*w + 1. Let g(u) = 2*u**4 - 6*u**3 - 31*u**2 - 24*u - 1. Let j(d) = 7*g(d) - 3*l(d). Factor j(x).
-(x + 1)**2*(x + 2)*(x + 5)
Suppose -8 = d - 4*q, d + 1 = 2*d - q. Let z = 1/27051 - -54077/676275. Let 6/25*c**2 - z*c**d - 8/25*c**3 + 16/25 + 28/25*c = 0. Calculate c.
-4, -1, 2
Let v = -28 + 0. Let t be (v/14 + 4)*(-6)/(-4). Factor -10/3*i + 25/3*i**2 + 0 + 35/3*i**t.
5*i*(i + 1)*(7*i - 2)/3
Suppose 5*o = -4*p + 3*o - 318, -3*p + o = 241. Let s be (-4)/(p/7 - -11). Solve -s - 38/3*t + 2*t**2 = 0.
-2/3, 7
Find d, given that 3136374 + 2/3*d**2 - 2892*d = 0.
2169
Let h = -1509/7 - -4534/21. Let x(m) be the first derivative of 1/9*m**3 + h*m + 5 - 1/3*m**2. Factor x(y).
(y - 1)**2/3
Let f(l) be the second derivative of -l**4/108 + 70*l**3/27 - 75*l**2/2 + 7*l + 231. Factor f(z).
-(z - 135)*(z - 5)/9
Let b(x) be the second derivative of -3*x**5/140 + 5*x**4/28 + 13*x**3/14 + 3*x**2/2 + 612*x. Factor b(z).
-3*(z - 7)*(z + 1)**2/7
Let m(p) be the first derivative of 5*p**4/4 - 100*p**3/3 + 185*p**2/2 - 90*p - 5357. Factor m(j).
5*(j - 18)*(j - 1)**2
Let d(c) be the second derivative of 3*c**6/2 - 246*c**5/5 + 571*c**4/4 - 109*c**3 - 60*c**2 + 1569*c. Solve d(b) = 0 for b.
-2/15, 1, 20
Let r(n) be the first derivative of -n**5/5 - 3*n**4/2 + 25*n**3/3 - 9*n**2 - 1355. Let r(d) = 0. Calculate d.
-9, 0, 1, 2
Let r(x) be the third derivative of x**8/224 - x**7/4 - x**6/80 + 7*x**5/8 + 2*x**2 + 1548. Solve r(d) = 0 for d.
-1, 0, 1, 35
Let i = 420 - 415. Let 808*h**2 - 1960*h**3 - 82*h**4 - 5469 - 4692 - 18000*h - 5*h**i + 161 - 10608*h**2 - 83*h**4 = 0. What is h?
-10, -2, -1
Let t(v) be the second derivative of 1/3*v**4 + 4*v + 648*v**2 - 24*v**3 - 3. Factor t(q).
4*(q - 18)**2
Let y(u) = u**2 + 283*u - 2028. Let k be y(7). Solve 5/3 - 1/3*l**k - 4/3*l = 0 for l.
-5, 1
Let s be (-132)/(-162)*9*14/(-4). Let p = s + 27. Factor 0*l - 2/3*l**3 + p*l**4 - 2/3*l**5 + 0*l**2 + 0.
-2*l**3*(l - 1)**2/3
Let c(x) = 2*x**4 + 10*x**3 + 18*x**2 - 3*x + 3. Let h(r) = -5*r**4 - 29*r**3 - 54*r**2 + 8*r - 8. Let v(d) = -8*c(d) - 3*h(d). Let v(o) = 0. What is o?
-2, 0, 9
Let b be 130/312*24 + 0 + -8. Let o(w) be the first derivative of 3/5*w + 12 + 3/20*w**4 + 3/5*w**3 + 9/10*w**b. Suppose o(m) = 0. Calculate m.
-1
Let d(v) be the second derivative of v**5/27 + 11*v**4/27 + 16*v**3/27 - 16*v**2 + 36*v. Let u(k) be the first derivative of d(k). Factor u(h).
4*(h + 4)*(5*h + 2)/9
Let t(d) = -d**2 + 15*d - 44. Let s be t(10). Suppose -8*p = 4*p - s*p. Factor 18/5*o**4 - 22/5*o**3 + 4/5*o**2 + p + 0*o.
2*o**2*(o - 1)*(9*o - 2)/5
Let f(g) be the third derivative of -g**8/112 - 17*g**7/280 - 7*g**6/80 + 17*g**5/80 + 9*g**4/16 - 10*g**2. Suppose f(i) = 0. What is i?
-9/4, -2, -1, 0, 1
Let k = -489 - -454. Let r be k/20 + 4 + -11 + 9. Factor -1/8 - r*z**3 + 1/8*z**4 + 1/4*z + 0*z**2.
(z - 1)**3*(z + 1)/8
Let s = -6/20303 - -791865/162424. Solve s*p + 33/8*p**2 + 3/4 = 0 for p.
-1, -2/11
Factor 242/3*n**2 - 1/3*n**3 - 481/3*n + 80.
-(n - 240)*(n - 1)**2/3
Determine p, given that -134/3*p**2 - 92*p + 2/3*p**3 + 0 = 0.
-2, 0, 69
Let j(g) be the second derivative of -3/7*g**2 + 0 - 1/70*g**5 - 1/42*g**4 + 5/21*g**3 - 11*g. Factor j(f).
-2*(f - 1)**2*(f + 3)/7
Let j(f) be the second derivative of -246*f + 5/2*f**3 + 9*f**2 + 0 + 1/4*f**4. Factor j(z).
3*(z + 2)*(z + 3)
Let q(x) be the first derivative of 12*x**4 + 272*x**3/3 + 770*x**2/3 + 968*x/3 + 133. Suppose q(a) = 0. What is a?
-2, -11/6
Suppose 0 = -34*k + 29*k + 40. Determine o so that k*o + 4 + 4 + 366*o**2 - 364*o**2 = 0.
-2
Let z = -1384127 + 12457153/9. Factor -25/9 - z*q**3 + 8/3*q**2 + 10/9*q + 1/9*q**4.
(q - 5)**2*(q - 1)*(q + 1)/9
Suppose 6*k + 50*k + 1008 - 3*k**2 - 55*k - 151*k = 0. What is k?
-56, 6
Let x be (-15)/(-3) - (-8)/4. Let w be x + (-357)/49 + (-23)/(-7). Determine j so that 3*j**w + 4*j**3 - 8*j**3 + j**4 = 0.
0, 1
Let c(k) = -k**3 + 6*k**2 - 1