 be the first derivative of 70 - 256/5*z**5 - 12*z**3 + 0*z + 48*z**4 + z**2. Let w(c) = 0. What is c?
0, 1/8, 1/2
Let p(i) be the third derivative of -i**7/70 + i**6/5 + i**5/20 - i**4 + 851*i**2. Find l, given that p(l) = 0.
-1, 0, 1, 8
Let v(i) be the third derivative of -i**5/30 - 55*i**4/6 + 113*i**3 - 2*i**2 - 48. Factor v(u).
-2*(u - 3)*(u + 113)
Let x(d) = -16*d**3 + 17755*d**2 + 4442*d - 8. Let w(b) = -14*b**3 + 17755*b**2 + 4443*b - 12. Let g(l) = -2*w(l) + 3*x(l). Find r, given that g(r) = 0.
-1/4, 0, 888
Let t(v) be the third derivative of 0*v + 0 + 1/180*v**6 + 13/6*v**3 + 23*v**2 - 3/10*v**5 + 27/4*v**4. Let g(n) be the first derivative of t(n). Factor g(l).
2*(l - 9)**2
Let r(j) be the first derivative of -j**3/7 - 2049*j**2/14 - 6120*j/7 - 3800. Suppose r(c) = 0. What is c?
-680, -3
Let d(b) be the third derivative of b**7/168 - b**5/24 - 119*b**3/6 + 103*b**2. Let q(s) be the first derivative of d(s). Determine t so that q(t) = 0.
-1, 0, 1
Let v = -1270492 - -1270496. Factor 18 - 5/2*t**2 - 1/2*t**v + 12*t - 3*t**3.
-(t - 2)*(t + 2)*(t + 3)**2/2
Let k(m) = -7*m**4 - 12*m**3 - 9*m**2 + 4*m. Let t(d) = d + 7. Let z be t(-47). Let b(l) = l**4 + l**2 + l. Let q(x) = z*b(x) - 5*k(x). Solve q(u) = 0 for u.
-1, 0, 1, 12
Let s = -95 + 94. Let g be (-27)/(-15)*s/(-3). Factor -1/5*d**5 + g*d**4 + 0*d + 1/5*d**2 - 3/5*d**3 + 0.
-d**2*(d - 1)**3/5
Let k be (-9555)/525 - -16 - (-167)/5. Factor -k*z - 8/5*z**2 - 76/5.
-4*(z + 19)*(2*z + 1)/5
Let r(c) be the first derivative of -6*c**5 + 50/3*c**3 - 5/6*c**6 + 0*c**2 + 0*c + 252 - 15/4*c**4. What is d in r(d) = 0?
-5, -2, 0, 1
Find t such that -86*t**4 - 176*t**3 - 505978 + t**5 + 505978 = 0.
-2, 0, 88
Let d = 21 + -6. Suppose 39*z - 34*z = d. Factor 12*g**2 + 8*g**3 - 4*g**3 + z*g**3 + 2*g**3 - 3*g**4.
-3*g**2*(g - 4)*(g + 1)
Let a(i) be the second derivative of 9*i**6/10 + 12*i**5/5 - i**4 - 1317*i. Solve a(v) = 0 for v.
-2, 0, 2/9
Suppose 5/6*c**5 + 19/3*c**4 + 307/3*c**2 - 230/3*c + 52/3 - 301/6*c**3 = 0. Calculate c.
-13, 2/5, 1, 2
Suppose -m = -2*b - 0*m - 33, m - 49 = 3*b. Let n = b + 31. Solve n*g - 10*g**2 + 5 + g**5 - 8*g**5 - 30*g**3 + 5*g**4 + 22*g**5 = 0 for g.
-1, -1/3, 1
Let k(v) be the third derivative of 3*v**6/40 - 19*v**5/20 + 2*v**4 - 14*v**2 - 15. Find u such that k(u) = 0.
0, 1, 16/3
Suppose 0 = 67*k - 84*k + 153. Suppose -2*j + 8 = 4*f, -k*j + 12*j = -4*f + 10. Factor -7/5*y - 2/5*y**j - 4/5 + 1/5*y**3.
(y - 4)*(y + 1)**2/5
Factor 138*b**2 + 13*b**3 + 270*b + 129*b**2 - 26*b**3 + b**3 + 9*b**3.
-3*b*(b - 90)*(b + 1)
Let f(q) = -q**2 + 30*q - 54. Let v be f(27). Factor 5*x**2 + 30 + v*x + 403*x + 30*x**2 + 90.
5*(x + 12)*(7*x + 2)
Suppose 5*p + 4*k - 2 = 0, 5*p - 1 = -2*k + 5. Determine z, given that 2*z + 237*z**p - 22*z - 261*z**2 - 4*z**3 = 0.
-5, -1, 0
Let b(s) be the second derivative of -148/3*s**3 - 1/3*s**4 - 107*s - 2738*s**2 + 0. Factor b(h).
-4*(h + 37)**2
Factor 1196/9 + 1/9*p**2 - 133*p.
(p - 1196)*(p - 1)/9
Suppose 184158*o - 184209*o = 0. Factor o - 6/5*v - 4/5*v**2 + 2/5*v**3.
2*v*(v - 3)*(v + 1)/5
Let v(u) be the second derivative of -u**5/20 - 5*u**4/2 - 18*u**3 - 52*u**2 - 1280*u. Factor v(z).
-(z + 2)**2*(z + 26)
Suppose 0 = 2*o + 7*o - 18. Determine l so that -14*l + 376*l**o - 4*l + 5*l - 14 - 375*l**2 = 0.
-1, 14
Suppose -397/5*x**2 - 1/5*x**4 + 398/5 + 399/5*x - 399/5*x**3 = 0. Calculate x.
-398, -1, 1
Let m be 18 + ((-1157)/68 - (-8)/(-34)). Solve -m*b**2 + 0 + 3/4*b + 3/4*b**4 - 3/4*b**3 = 0.
-1, 0, 1
Let j(w) be the third derivative of 1/900*w**6 + 2/15*w**4 + 0 - 4/5*w**3 - 16*w**2 + 9*w + 11/450*w**5. Suppose j(d) = 0. What is d?
-6, 1
Factor 26/7*i + 1/7*i**4 - 1/7*i**5 - 8/7 - 29/7*i**2 + 11/7*i**3.
-(i - 2)*(i - 1)**3*(i + 4)/7
Let v(f) be the third derivative of f**8/168 - 2*f**7/35 + 11*f**6/60 - f**5/5 + 2837*f**2. Factor v(o).
2*o**2*(o - 3)*(o - 2)*(o - 1)
Let l(r) be the second derivative of r**5/25 + 34*r**4/15 + 168*r**3/5 - 1296*r**2/5 - 4184*r. What is t in l(t) = 0?
-18, 2
What is f in 5003*f - 3*f**2 - f**2 + 8*f**2 + 4536900 + 3517*f = 0?
-1065
Let a(v) be the first derivative of 4*v**5/15 - 5*v**4/2 - 52*v**3/9 - 3*v**2 + 4151. Determine y so that a(y) = 0.
-1, -1/2, 0, 9
Determine a so that 44*a**3 + 2*a**4 + 0*a**4 - 148*a**3 + 59*a**3 + 63*a**3 + 28*a**2 = 0.
-7, -2, 0
Let a be 2/(-1) + 3 + -2. Let u be (-8)/16 - 5*a/2. Suppose -4/9*m**5 - 4*m + 0 - 16/9*m**4 + 8/9*m**3 + 16/3*m**u = 0. Calculate m.
-3, 0, 1
Let y(i) = 48*i**2 + 37431*i + 16896762. Let h(p) = -7*p**2 - 5346*p - 2413823. Let z(f) = -27*h(f) - 4*y(f). Factor z(m).
-3*(m + 897)**2
Let k be -5 + (0/(-4) - -2 - 0). Let b be (-1)/k*(-7 + 106). Factor -22 - b + 14*a + 19 + 10*a - 4*a**2.
-4*(a - 3)**2
Let l be (-18*4/144)/(2/(-12)). Solve -324/5 + 3/5*i**l + 27/5*i**2 + 0*i = 0 for i.
-6, 3
Suppose -6*k = 9 - 3. Let v(j) = -j**2 - 1. Let u(c) = -c**3 - 2*c**2 - c - 4. Let t(r) = k*u(r) + 4*v(r). Let t(n) = 0. What is n?
0, 1
Let h(g) be the third derivative of g**6/1260 + 17*g**5/315 + 65*g**4/252 + 32*g**3/63 - 4610*g**2. Suppose h(x) = 0. What is x?
-32, -1
Let i(k) = -4167 - 10*k - 12*k + 4158 + 4*k**2. Let m be i(6). Suppose -34/5*c**2 - 8*c - 8/5 - 8/5*c**m = 0. What is c?
-2, -1/4
Let c(m) be the second derivative of -m**5/110 + 19*m**4/66 + 6*m - 28. Factor c(n).
-2*n**2*(n - 19)/11
Let q(v) = 14*v**2 + 15*v - 9. Let r be q(-8). Let 112*h + 961 - 78 - 82 + 2*h**2 + r = 0. Calculate h.
-28
Factor 584/5*j**2 + 154/5*j**4 - 592/5*j**3 + 0 + 0*j - 2/5*j**5.
-2*j**2*(j - 73)*(j - 2)**2/5
Let x = -395 - -594. Suppose 4*q - 174 = -5*c, -4*q - q + x = -3*c. Suppose 121*h - 41*h - q + 441 + 4*h**2 = 0. What is h?
-10
Let n(i) = -7*i**2 - 1078*i - 1011. Let x(s) = 22*s**2 + 3234*s + 3020. Let a(u) = -16*n(u) - 5*x(u). Factor a(t).
2*(t + 1)*(t + 538)
Let v(l) = 855*l - 5126. Let c be v(6). Let u(s) be the first derivative of 8/3*s**3 + 5/9*s**c - 4 + 56/9*s**2 + 2/45*s**5 + 64/9*s. Find m such that u(m) = 0.
-4, -2
Factor 10*k**2 - 21263*k + 21188*k + 3*k**3 + 2*k**3.
5*k*(k - 3)*(k + 5)
What is c in 7972*c**2 - 15946*c**2 + 161 - 2188*c + 2023 + 7978*c**2 = 0?
1, 546
Suppose -4*b = -2*d - 2, 5*b - 3 - 16 = -3*d. Suppose -4*p + u = -12, d*u - 12 = -4*p + u. Factor p*q**4 - 8*q + 2*q**3 - 27*q**2 + q**3 + 41*q - 12.
3*(q - 1)**3*(q + 4)
Find n, given that 34090 + n**3 - 34186 + 100*n - 11*n**2 - 17*n**2 = 0.
2, 24
Determine l, given that 0 - 2/9*l**2 - 124/3*l = 0.
-186, 0
Let n(u) be the first derivative of -128/7*u**2 - 2/35*u**5 + 0*u + 108 - 9/7*u**4 - 64/7*u**3. Factor n(d).
-2*d*(d + 2)*(d + 8)**2/7
Let q(m) be the second derivative of 2*m**7/21 + 6*m**6/5 - 54*m**5/5 - 14*m**4/3 + 110*m**3 + 234*m**2 - 1029*m - 1. Find h such that q(h) = 0.
-13, -1, 3
Let f be 4*(-3)/(-66) - (-38)/2090. Solve f*k**4 + 8/5*k**3 - 8/5*k**2 - 96/5*k + 144/5 = 0.
-6, 2
Let i(y) be the first derivative of -10*y**3 + 45/2*y**2 + 5/4*y**4 + 73 - 20*y. Factor i(a).
5*(a - 4)*(a - 1)**2
Let s(r) be the first derivative of r**4/6 + 38*r**3/9 - 41*r**2/3 + 14*r - 1286. Factor s(u).
2*(u - 1)**2*(u + 21)/3
Factor -21084/11*o + 63001/11*o**2 + 1764/11.
(251*o - 42)**2/11
Factor 866*z**2 + 890*z**2 + 1782*z - 2395 - 654*z**2 + 1887 - 18*z**3 + 1170*z**2.
-2*(z - 127)*(z + 1)*(9*z - 2)
Suppose -112*d + 871 = 199. Let i(l) be the second derivative of -1/5*l**d - 1/2*l**3 + 32*l + 0 + 3/2*l**2 - 3/4*l**4 + 3/4*l**5. Let i(c) = 0. What is c?
-1/2, 1
Let s(x) = 2*x**3 + 13*x**2 + 11*x. Let p(l) = 4*l**3 + 25*l**2 + 21*l. Let f = -100 + 102. Suppose 5*d + 9 = f*d. Let a(n) = d*p(n) + 5*s(n). Factor a(o).
-2*o*(o + 1)*(o + 4)
Let z be ((-18)/1)/(-2) + 27/(13 - 22). Let r(t) = -8*t**2 - 2*t. Let m(j) = 8*j**2 - 5*j**2 + 3*j + 6*j**2. Let s(q) = z*m(q) + 7*r(q). Factor s(k).
-2*k*(k - 2)
Let r be 4 + (81 - 9)*(-6)/(-18) + -7. Factor 39/2*w - 3/2*w**2 + r.
-3*(w - 14)*(w + 1)/2
Let r = 3352/4497 - 118/1499. Suppose -r*t**2 - 384 - 32*t = 0. What is t?
-24
Let b(h) be the second derivative of -9/40*h**5 + 1/3*h**3 + 0 + 1/8*h**2 + 69*h + 3/16*h**4. What is g in b(g) = 0?
-1/3, -1/6, 1
Let h(n) be the first derivative of 5*n**4/4 + 175*n**3/3 + 2015*n**2/2 + 7605*n - 348. Factor h(s).
5*(s + 9)*(s + 13)**2
Let q(u) be the second derivative of -u**4/12 + 73*u**3/3 + 1600*u. Let q(b) = 0. Calculate