 that 276 + 238 + 12*h**2 + 54*h - 576 - 4*h**2 = 0.
-31/4, 1
Suppose -8*k + 10*k**2 - 4*k**3 + 1/2*k**4 + 0 = 0. Calculate k.
0, 2, 4
Let u(h) be the first derivative of h**3/9 - 7*h**2/3 - 5*h - 109. Solve u(m) = 0 for m.
-1, 15
Let r(c) be the third derivative of -c**7/630 + c**6/15 - 7*c**4/12 + 19*c**2. Let j(h) be the second derivative of r(h). Determine q, given that j(q) = 0.
0, 12
Let o(h) be the second derivative of -49/60*h**6 + 7/3*h**3 + h**2 + 15/8*h**4 - 7/10*h**5 + 0 - 12*h. Solve o(z) = 0.
-1, -2/7, 1
Let -20/7*s**5 - 9080/7*s**3 + 808/7*s**4 + 2672*s**2 + 2888/7 - 1900*s = 0. Calculate s.
2/5, 1, 19
Let h(d) = 2*d**2 + 14. Let w(p) = 2*p**2 - 2*p + 16. Let o(k) = 5*h(k) - 4*w(k). Factor o(u).
2*(u + 1)*(u + 3)
Suppose -4*f + 3*m = -21, -4*m + 28 = 5*f - 37. Factor -f + 16*x - 97*x**3 + 1 + 2*x**2 + 93*x**3.
-2*(x - 2)*(x + 2)*(2*x - 1)
Let a(p) = p**3 - p**2 - p + 35. Let k be a(0). Let u = -30 + k. Determine d so that 7*d**u + 0*d**5 - 10*d**5 - 2*d + d**5 + 4*d**3 = 0.
-1, 0, 1
Let a(q) be the first derivative of 5*q**3/3 + 115*q**2/2 + 141. Determine r, given that a(r) = 0.
-23, 0
Suppose 3*j - 12 = 0, -5*j + 41 = 3*w - 0*j. Let i(r) be the first derivative of 3/8*r**4 + 0*r**3 + 0*r + w - 3/4*r**2. Factor i(q).
3*q*(q - 1)*(q + 1)/2
Let m(u) be the third derivative of u**5/120 + u**4/48 - u**3/6 - 88*u**2. Factor m(b).
(b - 1)*(b + 2)/2
Let x(l) be the third derivative of 0 + 1/30*l**6 + 0*l - 3*l**2 + 2*l**4 + 2/5*l**5 + 16/3*l**3. Factor x(j).
4*(j + 2)**3
Let v be 3*24/27 + (-2)/3. Suppose -7*c + 6*c = -v. Factor -9/2*k**c + 0 + 3/2*k**3 + 3*k.
3*k*(k - 2)*(k - 1)/2
Suppose 8*i = 12 + 45 - 41. Factor 2/13*o**4 + 12/13*o**i + 0*o + 0 + 14/13*o**3.
2*o**2*(o + 1)*(o + 6)/13
Suppose -28*l + 24 = -24*l. Let x(o) be the second derivative of 0*o**4 + 7*o - 1/15*o**5 + 0 - 2/63*o**7 + 0*o**2 + 0*o**3 - 4/45*o**l. Factor x(v).
-4*v**3*(v + 1)**2/3
Solve -182 + 32*a + 380 + 2*a**2 - 168 = 0.
-15, -1
Let k be 9/((-27)/15) + 206/40. Let a(l) be the first derivative of 0*l + 0*l**2 + 0*l**3 - k*l**5 + 2 + 0*l**4. What is h in a(h) = 0?
0
Let t(c) = c + 8. Let g be t(-3). Let s = -3 + g. Solve 2*m**3 + m**s - 6*m**3 + 3*m**3 + 0*m**2 = 0 for m.
0, 1
Let n(d) be the third derivative of -7*d**6/300 - 12*d**5/25 + 37*d**4/15 + 16*d**3/5 - 47*d**2 - 2*d. Determine p so that n(p) = 0.
-12, -2/7, 2
Let u(j) = 29*j**2 - 2*j - 1. Let h be u(-1). Suppose 0 = w + 4*w - h. Factor w*m**3 - 3*m - 2*m**4 + 3*m + 0*m - 4*m**2.
-2*m**2*(m - 2)*(m - 1)
Suppose -4 = -3*p - c, -2*c + 16 = 5*p - 5*c. Suppose -11 + p = -3*h. Suppose -2/13*q + 0 - 2/13*q**h - 4/13*q**2 = 0. Calculate q.
-1, 0
Factor 462/13*y + 2/13*y**3 + 1210/13 + 54/13*y**2.
2*(y + 5)*(y + 11)**2/13
Let m be -5*4/(-40)*-2. Let n(x) = -2*x**2 - 8*x + 10. Let l(d) = d - 1. Let z(y) = m*n(y) - 4*l(y). Determine a so that z(a) = 0.
-3, 1
Factor 8*z**2 - 10 - 19*z + 2*z**4 + 4*z + 4*z - z + 12*z**3.
2*(z - 1)*(z + 1)**2*(z + 5)
Let p(m) be the third derivative of -2/21*m**3 - 2/105*m**5 + 0*m - 1/420*m**6 - 5/84*m**4 + 0 + m**2. Find t, given that p(t) = 0.
-2, -1
Let i be -5 - 12/(-2) - -6*1. Let m be 41/63 - 3/i. Factor 0 + m*d**2 + 2/9*d.
2*d*(d + 1)/9
Let v(y) = -y**2 + y + 1. Let f(s) = 4*s**2 - 2*s - 9. Let b(c) = 2*f(c) + 6*v(c). What is a in b(a) = 0?
-3, 2
Let i(x) be the third derivative of -x**5/105 + x**4/7 - 10*x**3/21 - 7*x**2 - x. Find k such that i(k) = 0.
1, 5
Let p(q) be the first derivative of -q**3/24 - 41*q**2/16 - 242. Suppose p(k) = 0. Calculate k.
-41, 0
Let n(f) be the second derivative of -f**8/73920 + f**6/7920 - f**4/6 - 7*f. Let w(l) be the third derivative of n(l). Factor w(j).
-j*(j - 1)*(j + 1)/11
Suppose -m - r = -7, 0 = 6*m - 98*r + 102*r - 34. Let -15/2*a**5 - 30*a**m + 69/2*a**4 + 24 + 48*a - 48*a**2 = 0. What is a?
-1, -2/5, 2
Let f be 7 + (-78)/12 + 142/(-292). Let r = f + 64/657. Factor 0 - r*d + 1/9*d**2.
d*(d - 1)/9
Let m(v) be the first derivative of -v**6/15 - v**5/2 - 7*v**4/6 - v**3 + 16*v + 3. Let r(y) be the first derivative of m(y). Find p such that r(p) = 0.
-3, -1, 0
Suppose a = u - 11, 11*a - 7*a + 17 = u. Let c(j) be the second derivative of -j**4 + 2/5*j**5 + 2/15*j**6 - 8*j**2 + u*j + 0 - 16/3*j**3. Solve c(v) = 0 for v.
-2, -1, 2
Suppose -48 = -2*h - 40. Let d(o) be the first derivative of 6 + 1/8*o**h + 0*o - 1/6*o**3 - 1/2*o**2. Factor d(p).
p*(p - 2)*(p + 1)/2
Let d = 96 - 94. Suppose -2*m + 20 = d*m. Let 0*z**4 + 0 + 0*z + 2/5*z**m - 2/5*z**3 + 0*z**2 = 0. Calculate z.
-1, 0, 1
Let l be (-6 - -5)*2*-1. Determine g, given that 9*g**l - 6*g - 11*g**2 - 6 + 6 = 0.
-3, 0
Factor 44*t**2 + 35*t**3 + 45*t**3 - 15*t + 4 - 17*t.
4*(t + 1)*(4*t - 1)*(5*t - 1)
Let f(p) be the third derivative of p**6/24 + 19*p**5/12 + 65*p**4/3 + 440*p**3/3 - 747*p**2. Let f(y) = 0. Calculate y.
-11, -4
Let z(y) be the third derivative of -y**8/840 - y**7/75 - 17*y**6/300 - 17*y**5/150 - y**4/10 - y**2 + 70. Find b, given that z(b) = 0.
-3, -2, -1, 0
Factor -3/5*k**2 - 198/5*k - 3267/5.
-3*(k + 33)**2/5
Let n be 24/(-132) - 354/(-11). Suppose -36*p = -n*p - 24. Solve -2*c**4 - 3 - 1 + 3 + 5 - p*c**3 - 2*c**2 + 6*c = 0.
-2, -1, 1
Suppose 13*z + 68 = 17*z. Suppose 22*o**2 - 4*o + z*o**2 - 41*o**2 = 0. What is o?
-2, 0
Let w(n) = -7*n - 31. Let z be w(-5). Suppose 0 = -3*i + y + 77, 2 = y + 4. Factor z*x**3 + 5*x**2 + x**4 - 23*x - i*x + 50*x.
x*(x + 1)**2*(x + 2)
Let m(x) = -x**2 + 2*x. Let f(o) = o**2 - 4*o. Let u = -87 - -76. Let s(p) = u*m(p) - 6*f(p). Factor s(a).
a*(5*a + 2)
Suppose 8*b + 100 = 9*b. Factor 16*g**3 + 11*g**2 + 13*g**2 + 108 - 113*g - 4*g**4 + 69*g - b*g.
-4*(g - 3)**2*(g - 1)*(g + 3)
Let z = -328 - -336. Let p be 6/9 + z/6. Factor -1/2*r**p - 5/2*r - 2.
-(r + 1)*(r + 4)/2
Let p(c) be the first derivative of -1/3*c**3 - 4/5*c + 3 - 6/5*c**2. Factor p(i).
-(i + 2)*(5*i + 2)/5
Let z(f) be the third derivative of f**7/735 + f**6/60 - f**5/210 - f**4/12 + 8*f**2 + f. Factor z(q).
2*q*(q - 1)*(q + 1)*(q + 7)/7
Let n(k) be the second derivative of 1/105*k**6 - 6/7*k**2 + 3/70*k**5 + 17/21*k**3 - 2*k - 5/14*k**4 + 0. Let n(u) = 0. What is u?
-6, 1
Let x = -99 + 91. Let f be 14/x - -2 - 3/(-6). Factor -3/2*v**2 + 0 + f*v**5 + 0*v**4 + 0*v - 9/4*v**3.
3*v**2*(v - 2)*(v + 1)**2/4
Let w = -4534/3 + 1514. Factor w*b + 0 + 4/3*b**2.
4*b*(b + 2)/3
Let s(j) = -2*j**4 + j**2 + 2*j + 1. Let l(a) = 6762*a**4 + 14850*a**3 - 14766*a**2 + 4180*a - 390. Let b(o) = -l(o) - 6*s(o). Factor b(c).
-2*(c + 3)*(15*c - 4)**3
Let x be (-182)/(-14) - -2*1. Suppose 27*d**2 + 3*d**4 + 5 - x*d**3 + 0*d**4 + 1 - 21*d + 0*d**4 = 0. Calculate d.
1, 2
Let w(z) = -8*z + 2. Let y be w(-18). Find q, given that -37*q**4 - 59*q**4 + 5*q**5 - 16 - y*q**3 + 72*q - 11*q**5 - 12*q**5 - 12*q**2 = 0.
-2, 1/3
Let n(o) be the second derivative of -2*o**6/15 + 64*o**5/5 - 958*o**4/3 - 1408*o**3 - 2178*o**2 - 320*o. Solve n(h) = 0 for h.
-1, 33
Suppose -7*l + 12 = -l. Find i such that 2*i**4 + 12*i**3 + 23*i**2 + 2*i**4 - 39*i**l = 0.
-4, 0, 1
Find u such that -1740*u**3 + 472*u**4 + 1728 + 519*u**4 + 9372*u**2 + 8352*u - 916*u**4 = 0.
-2/5, 12
Let p(m) be the first derivative of m**5/10 + m**4/2 - 4*m**2 + 36*m + 22. Let u(a) be the first derivative of p(a). Factor u(w).
2*(w - 1)*(w + 2)**2
Let y = 789 - 30769/39. Let b(i) be the first derivative of -5 - 6/13*i**2 - 18/13*i - y*i**3. Factor b(j).
-2*(j + 3)**2/13
Let t = 17 - 25. Let s(n) = n**2 + 6*n - 12. Let i be s(t). Factor -58*v**2 - 2*v**3 + i*v**3 + 66*v**2 + 8*v.
2*v*(v + 2)**2
Let q(k) be the third derivative of 11*k**5/210 - k**4/28 - k**2 - 74. Factor q(l).
2*l*(11*l - 3)/7
Let o(s) be the third derivative of 32*s**7/105 + 12*s**6/5 + 19*s**5/5 - 43*s**4/6 + 4*s**3 + 5*s**2. Factor o(r).
4*(r + 2)*(r + 3)*(4*r - 1)**2
Let x(t) be the third derivative of t**10/15120 + 5*t**9/12096 - t**8/1344 - 7*t**5/60 - 9*t**2. Let j(m) be the third derivative of x(m). Solve j(i) = 0 for i.
-3, 0, 1/2
Let w(a) = 41*a**3 + 82*a**2 - 155*a + 30. Let o(z) = -490*z**3 - 985*z**2 + 1860*z - 360. Let b(n) = -2*o(n) - 25*w(n). Determine f so that b(f) = 0.
-3, 2/9, 1
Let d(q) be the second derivative of q**6/90 + q**5/12 + 5*q**4/36 - 5*q**3/18 - q**2 + 96*q. Suppose d(n) = 0. Calculate n.
-3, -2, -1, 1
Factor 4*t**2 + 2/13*t**3 + 0 + 0*t.
2*t**2*