*4 + 6*y**3 = 0. What is y?
0, 1
Let v(l) be the second derivative of 18*l**2 - 3 + 29*l + 8/3*l**4 - 1/10*l**5 + 35/3*l**3. Solve v(c) = 0 for c.
-1, 18
Let c(m) be the third derivative of m**7/2520 - 13*m**6/360 + 169*m**5/120 - 9*m**4/8 - 42*m**2. Let i(k) be the second derivative of c(k). Factor i(z).
(z - 13)**2
Let c = 741 + -743. Let v be (c + 0)*(-3 + 1)*1. Factor 1/5*q**v - 7/5*q**2 + 6/5 - q**3 + q.
(q - 6)*(q - 1)*(q + 1)**2/5
Let m(k) be the third derivative of k**6/120 - 23*k**5/45 + 143*k**4/72 + 29*k**3/9 + 275*k**2. Factor m(g).
(g - 29)*(g - 2)*(3*g + 1)/3
Let r(a) = 5*a**5 + 11*a**4 + 31*a**3 + 5*a**2 + 4. Let h(c) = -4*c**5 - 13*c**4 - 32*c**3 - 8*c**2 - 3. Let d(k) = -4*h(k) - 3*r(k). Factor d(q).
q**2*(q + 1)**2*(q + 17)
Let m(q) = -q**2 - 5*q + 49. Let r be m(-12). Let n be 63/(-105) + (-111)/r. Factor 3/7*c**5 - 15/7*c**4 + 12/7*c**2 + n*c**3 + 0 - 24/7*c.
3*c*(c - 2)**3*(c + 1)/7
Solve 160 + 60*t - 50*t**2 - 15*t**3 + 5/2*t**4 = 0 for t.
-2, 2, 8
Let l(q) be the first derivative of -4*q**5/5 + 294*q**4 - 28812*q**3 - 269. Factor l(v).
-4*v**2*(v - 147)**2
Factor 5*r**5 + 368*r**2 - 3504*r**2 - 15*r**5 + 361*r**4 - 1344*r**3 - 253*r**4 + 8*r**5.
-2*r**2*(r - 28)**2*(r + 2)
Factor -841*v**3 - 897*v**3 - 17344*v + 82612*v**2 - 181*v**3 + 475*v**3 + 912.
-4*(v - 57)*(19*v - 2)**2
Suppose -3*x + 57 = -16*z + 21*z, -3*x - 3 = 0. Let a(t) be the third derivative of -1/180*t**5 + 0*t - z*t**2 + 1/24*t**4 + 0 - 1/9*t**3. Factor a(v).
-(v - 2)*(v - 1)/3
Let h(b) be the second derivative of 1/5*b**3 + 7/10*b**4 - 18/5*b**2 + 28*b - 1/25*b**6 - 3/50*b**5 + 0. Solve h(m) = 0 for m.
-3, -1, 1, 2
Suppose 0 = 22*k - 47*k + 243 + 82. Let q(b) be the third derivative of 0*b**3 + k*b**2 + 0 + 1/20*b**5 + 0*b - 3/4*b**4. Determine d so that q(d) = 0.
0, 6
Determine m so that -6*m**4 + 69/4*m - 51/2*m**2 + 18*m**3 + 3/4*m**5 - 9/2 = 0.
1, 2, 3
Let i(c) = -1455*c + 106218. Let q be i(73). Factor -1/3*s**q + s + 0*s**2 - 2/3.
-(s - 1)**2*(s + 2)/3
Let u be 3/4*7*3/756. Let h(f) be the second derivative of 16*f + 0 + 0*f**2 + u*f**4 - 1/80*f**5 + 1/24*f**3 - 1/120*f**6. Factor h(s).
-s*(s - 1)*(s + 1)**2/4
Let z(p) = p**3 + 7*p**2 + p + 12. Let i be z(-7). Suppose -i*r + 26 = 1. Solve 20*o**3 - 10*o**3 + r*o**4 - 10*o + 5*o**4 - 5*o**4 - 5*o**2 = 0.
-2, -1, 0, 1
Let j = -2500 - -5330. Factor 2836*h - 4*h**2 - 5*h**2 - j*h + 3*h**3.
3*h*(h - 2)*(h - 1)
Factor -1/4*v**4 - 18*v**2 - 35/2*v - 23/4 - 13/2*v**3.
-(v + 1)**3*(v + 23)/4
Let f(s) be the first derivative of 2*s**5/15 + 19*s**4/6 - 190*s**3/9 - 17*s**2 + 276*s - 730. Find q, given that f(q) = 0.
-23, -2, 3
Let a(m) be the third derivative of 5*m**8/336 - 283*m**7/210 + 511*m**6/15 - 196*m**5/5 + 2*m**2 - 485*m + 2. Factor a(x).
x**2*(x - 28)**2*(5*x - 3)
Suppose -m - p = -7, m - 3*p - 88 = -109. Let h(f) be the first derivative of -11 + 2/3*f**4 - 2/3*f**6 + 4/15*f**5 + m*f**2 + 0*f + 0*f**3. Factor h(w).
-4*w**3*(w - 1)*(3*w + 2)/3
Let b(n) be the first derivative of 6*n - 1/12*n**4 + 1/9*n**3 + 1/30*n**5 + 2*n**2 - 1/180*n**6 + 44. Let a(u) be the second derivative of b(u). Factor a(k).
-2*(k - 1)**3/3
Suppose -5*x + 263 = 4*h, -87 = -3*h + x + 134. Let q = h - 70. Solve 5/4*a + 1/2*a**q - 3/4 = 0 for a.
-3, 1/2
Let t = 18974 - 18971. Determine u, given that -1/2*u**t - 3/2*u**2 + 3*u + 4 = 0.
-4, -1, 2
Suppose 8*p - 675 = -227. Let r be 164/15 - (p/10 + -6). Find y, given that r*y + 110/3*y**3 + 98/3*y**2 + 4/3 + 14*y**4 = 0.
-1, -1/3, -2/7
Let s(w) be the third derivative of w**5/210 - w**4/21 - 32*w**3/21 + 655*w**2. Factor s(k).
2*(k - 8)*(k + 4)/7
Let v(j) = -3*j**2 + 35*j + 41. Let z be v(-1). Find a such that 0 - 3/8*a**5 + 3/8*a**z + 0*a + 0*a**4 + 0*a**2 = 0.
-1, 0, 1
Let n(b) be the third derivative of -b**8/60480 - b**7/2160 - b**6/360 - b**5/5 - 9*b**2 - 1. Let i(l) be the third derivative of n(l). Factor i(v).
-(v + 1)*(v + 6)/3
Factor -322/5 - 262/5*v - 2/5*v**3 + 58/5*v**2.
-2*(v - 23)*(v - 7)*(v + 1)/5
Suppose 11*g = 7*g + 428. Find n, given that -21*n**4 - 25*n**4 + 41*n**4 - 400*n**2 - g*n**3 + 22*n**3 - 320*n = 0.
-8, -1, 0
Suppose 296*p = 289*p + 14. Factor 3*s**2 + 1 - 7*s**p - 28*s - 26 + 1.
-4*(s + 1)*(s + 6)
Let h(j) be the third derivative of 0*j**5 + 0*j**3 + 1/1848*j**8 + 1/385*j**7 + 0*j + 0 + 245*j**2 + 0*j**4 + 1/330*j**6. Let h(f) = 0. What is f?
-2, -1, 0
Suppose -2*m - 3*m = 4*d - 88, 3*d - 43 = 2*m. Find w, given that -11*w - 3*w**2 - d*w**2 + 8 + 228*w**3 - 212*w**3 - 17*w = 0.
-1, 1/4, 2
Let q be ((10 - 17) + (-88)/(-12))*0. Let q + 1/2*h**2 - 1/2*h = 0. Calculate h.
0, 1
Let p(m) be the second derivative of m**6/10 + 39*m**5/10 - 55*m**4/4 + 14*m**3 + 137*m + 2. Solve p(d) = 0.
-28, 0, 1
Let u be 20/(-42)*(-27 - -23 - (-2)/(40/68)). Factor -2/7*d**2 + 0 + 0*d - u*d**3.
-2*d**2*(d + 1)/7
Let a(z) be the first derivative of 5/8*z**4 - 52 + 0*z**2 + 1/10*z**5 + 2/3*z**3 + 0*z. Suppose a(t) = 0. Calculate t.
-4, -1, 0
Let i(d) = 5*d**3 - 25*d**2 + 12*d - 26. Let y be i(19). Factor p**4 - y*p + 25472*p - 5*p**3.
p**3*(p - 5)
Let z(r) be the second derivative of 40*r**7/63 - 1084*r**6/45 - 1013*r**5/4 - 6233*r**4/18 - 3521*r**3/18 - 55*r**2 + 824*r. Find v such that z(v) = 0.
-5, -2/5, -1/4, 33
Let c = -73 + 73. Let v = 17/7 - 15/7. Suppose 0*x**2 + c - v*x + 2/7*x**3 = 0. Calculate x.
-1, 0, 1
Suppose 11*c - 124 = -399. Let d be 7 + 0 - (c - -29). Let 2/3 + 1/3*h - h**2 + 1/3*h**4 - 1/3*h**d = 0. Calculate h.
-1, 1, 2
Let i = -1068 + 1074. Let g be ((-18)/45)/(i/(-10)). Factor -2/3*n**2 + g*n**3 - 4*n + 0.
2*n*(n - 3)*(n + 2)/3
Suppose -4*r + 38 - 114 = -3*n, -12 = 5*n + 2*r. Factor 0 + 2058*a**5 + 0*a + 1575/2*a**3 + 375/4*a**2 + 2205*a**n.
3*a**2*(14*a + 5)**3/4
Let d = -15304 - -15308. Let k(q) be the first derivative of 7/8*q**d - 27/4*q**2 + 1/10*q**5 + 3/2*q**3 - 27*q + 3. Find t, given that k(t) = 0.
-3, 2
Suppose 4*z - 6*z - 3*d + 2 = 0, z - d - 6 = 0. Suppose f - 6*y + y - 20 = 0, 21 = f - z*y. Factor -f + 26*w + 18*w - 5*w**2 - 14*w.
-5*(w - 5)*(w - 1)
Let p(o) be the second derivative of 25/27*o**3 + 125/9*o**2 - 1/90*o**5 - 5/54*o**4 - 1 - 48*o. Find u such that p(u) = 0.
-5, 5
Let i(z) be the second derivative of -z**5/25 - 734*z**4/15 + 98*z**3 + 1851*z. Factor i(g).
-4*g*(g - 1)*(g + 735)/5
Find z such that 19*z + 97/5*z**3 - 193/5*z**2 + 1/5 = 0.
-1/97, 1
Let q(r) be the third derivative of -r**7/1470 + 2*r**6/105 + 9*r**5/140 - 89*r**4/84 + 68*r**3/21 - 3*r**2 + 386*r - 1. Solve q(m) = 0.
-4, 1, 2, 17
Let t(q) = -2*q**3 - 2*q**2 + 5*q + 2. Let y be t(-3). Let r = -21 + y. Factor 0*j + 2*j**2 + 6 - r + 6*j.
2*(j + 1)*(j + 2)
Let m be -41 + (512/24 - -26). Factor -m*x - 2/3*x**2 - 3.
-(x + 9)*(2*x + 1)/3
Let l(f) = f**2 + 13*f + 17. Let s be l(-12). Suppose -s*z + 14 + 6 = 0. Solve z*a + 0*a - 5*a**2 - a**2 - 24*a**3 - 14*a**4 = 0 for a.
-1, 0, 2/7
Factor -2/15*m**2 - 40/3*m + 202/15.
-2*(m - 1)*(m + 101)/15
Let d(z) = -z**3 + 44*z**2 + 4*z - 160. Let q be d(44). Let y be (q/(-20))/(99/(-110)). Find w such that 0 + 4/9*w**3 + 0*w**2 + 0*w + 4/9*w**5 - y*w**4 = 0.
0, 1
Suppose -481*p + 29602 + 54*p**2 - 29554 - 817*p = 0. What is p?
1/27, 24
Let v(c) be the third derivative of c**6/60 - 28*c**5/15 + 989*c**4/12 - 5290*c**3/3 - c**2 + 464*c. Factor v(b).
2*(b - 23)**2*(b - 10)
Suppose 0 = -56*w + 46*w + 30. Suppose 2*u = 5*u - 9. Factor 54 + 6*q**3 - 11*q**3 + q**u + 24*q**2 + 63*q + 7*q**w.
3*(q + 2)*(q + 3)**2
Let h(w) be the second derivative of w**6/210 + w**5/70 - w**4/28 - 2*w**3/21 + 2*w**2/7 + 2491*w. Factor h(f).
(f - 1)**2*(f + 2)**2/7
Let c(n) = -9583*n - 38332. Let s be c(-4). Factor 1/11*r**2 - 8/11*r + s.
r*(r - 8)/11
Let m = 11311 - 11309. Factor -58/5*n + 7/5*n**m + 16/5.
(n - 8)*(7*n - 2)/5
Let j(v) = v**2. Let p(l) = l**3 + 8*l**2 + 5*l - 6. Let c be p(-7). Let x(i) = 20*i - c*i**2 + 12*i - 36*i. Let n(z) = 10*j(z) + x(z). Let n(f) = 0. What is f?
0, 2
Let g(a) be the second derivative of a**7/84 + 137*a**6/20 + 407*a**5/40 - 1235*a**4/24 - 171*a**3 - 205*a**2 - 1751*a + 4. Factor g(b).
(b - 2)*(b + 1)**3*(b + 410)/2
Let d(u) be the third derivative of u**6/18 + 13*u**5/30 + u**4 + 39*u**3/2 + 25*u**2 + 1. Let p(m) be the first derivative of d(m). Solve p(l) = 0 for l.
-2, -3/5
Factor 284*q - 836 - 613 + 3*q**2 - 758*q