 0*v + 3. Factor d(c).
-c*(c + 2)/6
Let l(n) be the first derivative of -1/30*n**3 + 9/25*n**5 + 37/60*n**4 + 5 + 2*n - 1/5*n**2. Let s(k) be the first derivative of l(k). Solve s(f) = 0.
-1, -1/4, 2/9
Let t be (8/(-22))/((-58)/(-145)*(-15)/33). Let g be (-8)/6*18/(-5). Let g*o - 36/5 - 4/5*o**t = 0. What is o?
3
Let b(z) be the third derivative of 0 + 1/60*z**4 + 0*z - 23*z**2 - 1/150*z**5 + 2/15*z**3. Let b(a) = 0. Calculate a.
-1, 2
Let b(x) be the second derivative of -7*x**6/120 + x**5/80 + 49*x**4/48 + 35*x**3/24 - 3*x**2/4 - 417*x. Suppose b(h) = 0. Calculate h.
-2, -1, 1/7, 3
Let j = -3598 - -3600. Determine z so that 294/5*z**j + 168/5*z + 24/5 = 0.
-2/7
Let i(h) be the first derivative of h**3/3 + h**2/2 - 36. Solve i(j) = 0 for j.
-1, 0
Let h(l) be the second derivative of -l**4/18 - 2*l**3/9 - l**2/3 + 11*l. Let h(r) = 0. Calculate r.
-1
Let t = -2459 + 41811/17. Find a such that -t - 2/17*a**2 - 10/17*a = 0.
-4, -1
Suppose 10*i + 31 + 19 = 0. Let f be i - -6*(-32)/(-36). Factor f*q**2 - 2/3*q - 1.
(q - 3)*(q + 1)/3
Suppose 96*x = 156 + 228. Let p(h) be the second derivative of -5/6*h**3 + 0 - 25/24*h**x + 11*h - 1/4*h**2. Suppose p(o) = 0. Calculate o.
-1/5
Let o(t) be the first derivative of 3*t**4/8 - 19*t**3/12 - 21*t**2/8 + t + 81. Factor o(y).
(y - 4)*(y + 1)*(6*y - 1)/4
Find x, given that 121/2*x**3 + 143*x**2 + 46*x + 4 = 0.
-2, -2/11
Let q be 8/(-16)*(2 + -44). What is y in -91*y**2 - 130*y + 3*y**3 + 33*y**2 - 9*y**3 + q + 29 = 0?
-5, 1/3
Let q(r) = 1225*r**4 + 910*r**3 - 190*r**2 - 130*r - 90. Let p(v) = v**2 - v + 3. Let u(d) = 30*p(d) + q(d). Factor u(k).
5*k*(5*k - 2)*(7*k + 4)**2
Let f(t) be the first derivative of t**6/60 - t**4/3 + t**2/2 + 10. Let h(r) be the second derivative of f(r). What is k in h(k) = 0?
-2, 0, 2
Factor 3*c**4 - 5*c - c**3 + 11*c**2 - 7*c + 100*c**2 - 204 + 61*c**3 + 42*c**2.
3*(c - 1)*(c + 2)**2*(c + 17)
Let b(j) be the first derivative of 2/45*j**3 - j**2 + 1/450*j**5 + 5 - 1/60*j**4 + 0*j. Let c(z) be the second derivative of b(z). Factor c(g).
2*(g - 2)*(g - 1)/15
Let x(g) be the first derivative of 0*g**2 + 0*g + 1/24*g**4 + 1/18*g**3 + 17. Factor x(n).
n**2*(n + 1)/6
Let j(v) be the third derivative of -v**5/30 + 31*v**4/6 - 961*v**3/3 - 148*v**2. Factor j(g).
-2*(g - 31)**2
Let y(t) be the third derivative of -2*t**2 + 0*t - 1/5*t**6 - 1/84*t**8 + 4/15*t**5 + 0 + 0*t**3 - 1/6*t**4 + 8/105*t**7. Factor y(g).
-4*g*(g - 1)**4
Let j(s) be the second derivative of -s**4/9 - 4*s**3/3 + 14*s**2/3 + s + 3. Factor j(q).
-4*(q - 1)*(q + 7)/3
Factor 5/4*o**4 - 2*o**3 - 6*o**2 + 8*o + 4.
(o - 2)**2*(o + 2)*(5*o + 2)/4
Let n(g) be the second derivative of g**7/147 + 2*g**6/35 + 6*g**5/35 + 5*g**4/21 + g**3/7 - 188*g. Find u, given that n(u) = 0.
-3, -1, 0
Let w be 18/2 - (-5 - -3). Suppose -w*u + 18*u = 14. Determine v so that 9/4*v - 3/4*v**u + 0 = 0.
0, 3
Let t be (8/(-4)*-2 - 2) + 18. Let x be (-8)/(-90)*t*(-2)/(-16). Determine q so that x*q**3 - 2/9*q + 4/9*q**2 - 4/9 = 0.
-2, -1, 1
Let -579*t**2 - 8234*t + 416*t**2 + 451*t**2 + 7284*t - 9418*t - 2*t**3 = 0. Calculate t.
0, 72
Let j(f) be the second derivative of -f**3/6 - f**2/2 - 26*f. Let n(w) = -4*w**3 + 12*w**2 + 4*w - 12. Let y(d) = 12*j(d) - n(d). Factor y(u).
4*u*(u - 4)*(u + 1)
Let y be ((-9)/30)/((-72)/10). Let g(l) be the third derivative of 0 - 1/18*l**3 + y*l**4 - 1/60*l**5 + 0*l - 3*l**2 + 1/360*l**6. Factor g(n).
(n - 1)**3/3
Let y = 37/100 + 89/300. Factor 8/9*w + 2/9*w**2 + y.
2*(w + 1)*(w + 3)/9
Find h such that -44*h**3 - 128*h**5 + 113*h**5 + 10 - 50*h**4 + 25*h - 6*h**3 = 0.
-1, 2/3
Let n be (205/20 + 3)*(-2)/(-9). Let r = n + -22/9. Factor -r + u - 1/2*u**2.
-(u - 1)**2/2
Let x(z) be the first derivative of z**4/2 - 34*z**3/3 + 16*z**2 - 255. Suppose x(a) = 0. What is a?
0, 1, 16
Let o(l) be the second derivative of -l**6/60 + l**5/40 + 416*l. Factor o(u).
-u**3*(u - 1)/2
Let r(d) be the first derivative of -6*d**5/35 - 55*d**4/14 - 404*d**3/21 + 460*d**2/7 - 400*d/7 + 158. Let r(p) = 0. What is p?
-10, 2/3, 1
Let i = -6959 - -41755/6. Suppose 0 + i*u + 1/6*u**2 = 0. What is u?
-1, 0
Let k be 7 - (-832)/(-182)*14/10. What is g in -3/5*g**2 - k*g + 3/5 + 3/5*g**3 = 0?
-1, 1
Solve 55/8*y + 19/8*y**4 - 191/4*y**2 - 27/4*y**3 + 363/8 - 1/8*y**5 = 0.
-3, -1, 1, 11
Factor 5*h**4 + 45*h**3 - 22 - 7 - 165*h**2 + 175*h + 14 - 45.
5*(h - 1)**3*(h + 12)
Suppose 29*w - 18*w + 16 = 15*w. Factor 0 + 0*k**3 + 1/3*k**w - k**2 + 2/3*k.
k*(k - 1)**2*(k + 2)/3
Let j be (592/(-444))/((-4)/9). Suppose 3/4*p**4 + 27/4*p**2 + 0 + 0*p + 9/2*p**j = 0. Calculate p.
-3, 0
Let o(s) be the second derivative of -5*s**4/3 + 5*s**3/6 + s + 119. Suppose o(c) = 0. What is c?
0, 1/4
Let m(d) be the second derivative of 15*d**7/4 + 449*d**6/60 - 7*d**5/8 - 51*d**4/8 + 5*d**3/3 + d**2 + 119*d. Determine r so that m(r) = 0.
-1, -1/9, 2/7, 2/5
Let m(g) be the first derivative of 2*g**2 + 1/3*g**3 + 4*g + 11. Factor m(y).
(y + 2)**2
Let r(y) = 4*y**2 + 474*y + 706. Let x be r(-117). Factor -3/4*j**2 - 3/8*j**5 + 3/8*j + 0*j**3 + 3/4*j**x + 0.
-3*j*(j - 1)**3*(j + 1)/8
Let r(o) be the second derivative of -o**6/20 + 79*o**5/40 - 225*o**4/8 + 567*o**3/4 + 729*o**2/2 - 9*o + 9. Determine h, given that r(h) = 0.
-2/3, 9
Let m(z) be the first derivative of -z**3/3 + 23*z**2/2 - 119. Factor m(p).
-p*(p - 23)
Suppose -u - 3 = -4*k + 5, 2*k - 4 = -2*u. Let b be (-5)/(-1 + (u - 0)). Let -i + 18*i**b + 40*i**2 + 0*i + 9*i + 74*i**3 + 60*i**4 = 0. Calculate i.
-1, -2/3, 0
Let w be (24/(-180))/(32/(-60)). Let h(s) be the second derivative of -s - 1/24*s**4 - 1/6*s**3 - w*s**2 + 0. Factor h(v).
-(v + 1)**2/2
Suppose 22/7 + 20*q**2 + 100/7*q**3 + 2/7*q**5 + 90/7*q + 30/7*q**4 = 0. What is q?
-11, -1
Let d(i) = 3*i + 7. Let c(j) = -2*j - 4. Let l(y) = 5*c(y) + 3*d(y). Let z(k) = -2*k**2 + k + 1. Let u(r) = 10*l(r) - 2*z(r). Suppose u(v) = 0. Calculate v.
1, 2
Let f = 180/11 - 889/55. Factor -6/5 + f*y**2 + y.
(y - 1)*(y + 6)/5
Let g(b) be the second derivative of -b**6/60 + 9*b**5/40 - b**4/8 - 37*b**3/12 - 6*b**2 - 122*b. Factor g(q).
-(q - 8)*(q - 3)*(q + 1)**2/2
Let k(o) = o**2 + 4*o + 3. Let a be k(-3). Suppose m + 4*h + 10 = 0, -h = 5*m + 3*h + 2. Factor a*d**3 + 0*d + 0 - 2/7*d**4 + 0*d**m + 2/7*d**5.
2*d**4*(d - 1)/7
Let x(h) be the first derivative of -h**3/24 - 5*h**2/16 - h/2 - 55. Find m, given that x(m) = 0.
-4, -1
Let j(u) be the third derivative of -u**6/210 - u**5/60 + u**4/12 - u**3/14 + u**2 - 45*u. Factor j(x).
-(x - 1)*(x + 3)*(4*x - 1)/7
Let y = -9 + 20. Let -19*u**2 + y*u**2 - 2*u + 1 + 9*u**2 = 0. Calculate u.
1
Suppose 2*f - 4 = 3*i + 6*f, 8 = -i - 3*f. Let q(j) be the third derivative of 0*j - 1/42*j**i + 8*j**2 + 0 + 0*j**3 - 1/210*j**5. Factor q(x).
-2*x*(x + 2)/7
Let n(a) = -a**3 + 16*a**2 - 5*a - 4. Let y be n(16). Let p = 84 + y. Let p - 3/5*m**3 - 3/5*m**2 - 1/5*m**4 - 1/5*m = 0. What is m?
-1, 0
Let -2*o - 2*o + 2*o**2 + 16 - 42 + 28 = 0. What is o?
1
Let q be (15/(-6))/(-1) - 1. Let o be -4 - (-126)/112*4. Factor 2 - q*x**2 + 0*x - o*x**3.
-(x - 1)*(x + 2)**2/2
Let f be 5 - (5 + (-10 - -1)). Let f*o - 2*o**2 - 22 + 6 - o + o**2 = 0. Calculate o.
4
Let t = 4726 + -4724. Factor -8/3*x**2 + 0*x + 2/3*x**4 + 0 + t*x**3.
2*x**2*(x - 1)*(x + 4)/3
Find j, given that 2*j**2 - 28/3*j**3 + 0 + 0*j + 98/9*j**4 = 0.
0, 3/7
Factor 2/11*r**3 + 0*r - 4/11*r**2 + 2/11*r**4 + 0.
2*r**2*(r - 1)*(r + 2)/11
Suppose 2*a + 11 = -1. Let u(f) = -3*f**3 + 33*f**2 + 78*f + 54. Let i(y) = 8*y**3 - 98*y**2 - 233*y - 161. Let n(p) = a*i(p) - 17*u(p). Factor n(t).
3*(t + 1)*(t + 4)**2
What is r in -12 + 7*r**2 + 0*r + 261*r**3 - 260*r**3 + 4*r = 0?
-6, -2, 1
Suppose 69*v - 87*v = 0. Factor 1/6*k**4 - 1/2*k**2 + 0 + 1/3*k + v*k**3.
k*(k - 1)**2*(k + 2)/6
Let o(h) = 21*h**4 - 27*h**3 - 9*h**2 - 9*h + 9. Let u = -2 + 4. Let k(m) = 5*m**4 - 7*m**3 - 2*m**2 - 2*m + 2. Let f(y) = u*o(y) - 9*k(y). Factor f(q).
-3*q**3*(q - 3)
Let x(u) be the first derivative of 3 + 0*u**3 - 1/24*u**4 + 1/2*u**2 - 1/60*u**5 + 0*u. Let m(z) be the second derivative of x(z). Solve m(d) = 0 for d.
-1, 0
Let d(y) be the first derivative of -4*y**3/15 + y**2/2 - y/5 + 103. Factor d(b).
-(b - 1)*(4*b - 1)/5
Let p be 2/(8/11) + (-15)/20. Let j(x) be the third derivative of 1/75*x**5 + 1/300*x**6 + 1/60