p(d) be the second derivative of -d**4/72 - 77*d**3/18 - 51*d**2/4 + 48*d. Factor p(h).
-(h + 1)*(h + 153)/6
Suppose -14*s**3 - 11/2*s**2 - 1/4*s**5 + 0 + 11/2*s**4 + 57/4*s = 0. What is s?
-1, 0, 1, 3, 19
Let p(k) be the first derivative of -2*k**3/15 + 14*k**2/5 + 64*k/5 + 131. Solve p(y) = 0 for y.
-2, 16
Let r(p) be the third derivative of p**7/1470 + p**6/105 - 13*p**5/210 - p**4 + 21*p**3/2 - 11*p**2 + 9*p. Factor r(i).
(i - 3)**2*(i + 7)**2/7
Solve 1/3*q**4 - 16/3*q + 7/3*q**3 + 0 + 8/3*q**2 = 0.
-4, 0, 1
Let d(v) be the third derivative of 7*v**6/1080 + v**5/135 - v**4/72 - 64*v**2. Solve d(w) = 0.
-1, 0, 3/7
Let o = -716 + 2149/3. Let m(r) be the first derivative of 3 - o*r**4 - 2/3*r + 2/15*r**5 + 0*r**3 + 2/3*r**2. Solve m(i) = 0.
-1, 1
Let t = -304 + 619. Let v be (-12)/t*3 - 8/(-20). Suppose -2/7*k**4 + 4/7*k**2 - 2/7*k + 4/7*k**3 - v*k**5 - 2/7 = 0. Calculate k.
-1, 1
Let n(z) = -11*z**3 - 29*z + 25*z**4 - 6*z**2 + 29*z. Let p(u) = -26*u**4 + 10*u**3 + 6*u**2. Let a = 10 - 14. Let v(x) = a*p(x) - 5*n(x). Factor v(b).
-3*b**2*(b - 1)*(7*b + 2)
Let u(p) = 2*p**3 + p**2 - p - 1. Let o(h) = -16*h**4 - 28*h**3 + 5*h**2 + 33*h + 12. Let w(k) = -o(k) + 6*u(k). Let w(f) = 0. What is f?
-2, -3/4, 1
Let n(m) be the second derivative of -m**5/4 - 5*m**4/4 + 5*m**3 + 20*m**2 - m + 49. Suppose n(i) = 0. Calculate i.
-4, -1, 2
Suppose -15 = -3*y, 6*y = 4*n + 2*y - 8. Let m be ((-28)/(-12))/n*1. Solve -1/2*g**3 + 0 - 1/6*g**4 - m*g**2 + 0*g = 0.
-2, -1, 0
Let b(v) be the third derivative of v**8/504 - 2*v**7/315 - v**6/20 + 7*v**5/45 + 5*v**4/9 - 8*v**3/3 + 164*v**2. Determine j, given that b(j) = 0.
-2, 1, 2, 3
Let l be -1 - -1 - (-21)/(-7). Let a be l*1*(3/(-3) - 0). Factor 3/2*r**3 - 3/2*r - 3 + a*r**2.
3*(r - 1)*(r + 1)*(r + 2)/2
Suppose 95*y**4 + 16*y**5 + 97*y**2 + 139*y**3 + 0 - 6 + 9*y**5 + 32*y + 10 = 0. What is y?
-1, -2/5
Let u = -1130 + 1132. Let h(j) be the first derivative of 1/3*j**6 - 1/2*j**4 + 4 + 0*j**3 + 0*j**5 + 0*j**u + 0*j. Factor h(d).
2*d**3*(d - 1)*(d + 1)
Suppose 7*q - m = 3*q - 30, -2*m - 28 = 3*q. Let y be (-2 + 2)/(7/((-28)/q)). Let -1/4*a**5 + a**4 + y - 3/4*a**3 + a - a**2 = 0. Calculate a.
-1, 0, 1, 2
Let q(f) be the first derivative of -3*f**3 + 9*f**2/2 + 12. Let k(o) = -17*o**2 + 18*o. Let i(w) = -6*k(w) + 11*q(w). Determine y, given that i(y) = 0.
0, 3
Let f = -1393 - -1395. Let 1/2*k - 1/2*k**f + 1 = 0. Calculate k.
-1, 2
Let m(y) = -13*y**4 + 86*y**3 - 210*y**2 - 72*y + 209. Let t(j) = 9*j**4 - 58*j**3 + 140*j**2 + 48*j - 139. Let p(b) = 5*m(b) + 7*t(b). What is z in p(z) = 0?
-1, 1, 6
Factor -4/7*g**4 + 0 - 12*g - 92/7*g**3 - 172/7*g**2.
-4*g*(g + 1)**2*(g + 21)/7
Let h(j) = -11*j**3 + 6*j**2 + 19*j - 14. Let y(v) = 13*v**3 - 7*v**2 - 20*v + 12. Let w(x) = 6*h(x) + 5*y(x). Factor w(q).
-(q - 3)*(q - 2)*(q + 4)
Suppose -2*d - 3*d = -5*w, 2*w = -4*d + 18. Factor p**2 - 7*p + 9*p - 14*p**w + 13*p**3.
-p*(p - 2)*(p + 1)
Let q(n) be the first derivative of -4*n**5/35 + 10*n**4/7 - 148*n**3/21 + 120*n**2/7 - 144*n/7 + 134. Determine x, given that q(x) = 0.
2, 3
Factor -116*h**3 + 50*h**4 - 89*h**3 + 150*h**3 - 51*h**2 + 11*h**2 + 45*h.
5*h*(h - 1)**2*(10*h + 9)
Let h(t) = -8*t**4 + 76*t**3 - 172*t**2 - 100*t. Let v(y) = -16*y**4 + 152*y**3 - 342*y**2 - 200*y. Let a(k) = -11*h(k) + 6*v(k). Solve a(l) = 0 for l.
-1/2, 0, 5
Let 358/13*k**2 - 132/13*k - 236/13*k**3 + 10/13*k**4 + 0 = 0. Calculate k.
0, 3/5, 1, 22
Suppose -27 = -p - 4*z - z, 0 = -2*p - 5*z + 29. Factor -3*b + 372*b**p - 368*b**2 - 2*b**3 + 9*b.
-2*b*(b - 3)*(b + 1)
Let r(c) be the third derivative of -c**8/5760 + 19*c**7/10080 + c**6/240 + c**5/60 - 2*c**3/3 - 48*c**2. Let f(a) be the third derivative of r(a). Factor f(x).
-(x - 3)*(7*x + 2)/2
Let r(j) be the third derivative of -j**8/1176 - j**7/735 + 3*j**6/140 - 11*j**5/210 + j**4/21 + 79*j**2. Factor r(t).
-2*t*(t - 1)**3*(t + 4)/7
Let g(h) be the second derivative of -h**4/12 + 5*h**3/6 - 2*h**2 + 2*h + 12. Suppose g(n) = 0. Calculate n.
1, 4
Let b(f) = -17*f - 15. Suppose -5 = -y - 6. Let h be b(y). Factor -6/7*p + 0*p**h + 4/7 + 2/7*p**3.
2*(p - 1)**2*(p + 2)/7
Let t be (-228)/(-44) - 5 - 320/66. Let o = -40/9 - t. Solve -2/9*r**3 + o*r**2 + 0*r + 0 = 0.
0, 1
Let w(a) be the first derivative of -a**5/10 - 61*a**4/8 + a**3/6 + 61*a**2/4 - 985. Determine d so that w(d) = 0.
-61, -1, 0, 1
Let w be (-1)/(3/3) + (-15)/3. Let h be ((-4)/w)/(16 + -14). Let h + i**2 + 5/3*i - 3*i**3 = 0. Calculate i.
-1/3, 1
Find v, given that 264*v + 4*v**4 + 456*v + 336 + 240*v**3 + 600*v**2 + 3*v**5 + 30*v**4 + 11*v**4 = 0.
-7, -2
Suppose 7*t = 3*t - u + 11, -4*t + 9 = 3*u. Find w, given that -4/11*w**4 + 0 - 2/11*w**5 + 4/11*w**2 + 2/11*w**t + 0*w = 0.
-2, -1, 0, 1
Let a(g) = -4*g - 89. Let z be a(-22). Let n be (z/(-2) - (-12)/24)*0. Suppose 0 + 1/3*x**4 + n*x + 0*x**2 - 1/3*x**5 + 2/3*x**3 = 0. Calculate x.
-1, 0, 2
Let m(p) be the third derivative of p**5/630 - 29*p**4/126 + 841*p**3/63 - p**2 + 10*p. Factor m(r).
2*(r - 29)**2/21
Suppose k = 0, 5*k = 2*o - o - 4. Let a(s) be the third derivative of 6*s**2 + 0 + 1/4*s**3 - 3/32*s**o + 0*s + 1/80*s**5. Find r, given that a(r) = 0.
1, 2
Let p(l) be the second derivative of -1/30*l**5 + l**3 + 0*l**2 - 8*l + 1/90*l**6 - 1/3*l**4 + 0. Let t(i) be the second derivative of p(i). Factor t(k).
4*(k - 2)*(k + 1)
Let t(a) be the first derivative of -1/4*a**4 - 1/6*a**6 + 0*a**3 + 0*a + 3 + 0*a**2 - 2/5*a**5. Factor t(c).
-c**3*(c + 1)**2
Let u(z) be the first derivative of 7*z**5/15 + z**4/6 - 7*z**3/3 + 4*z**2/3 + 4*z/3 + 32. Determine q so that u(q) = 0.
-2, -2/7, 1
Let m(f) be the second derivative of -f**6/72 + f**5/24 + 5*f**4/12 - 23*f**3/3 - 48*f. Let a(h) be the second derivative of m(h). What is y in a(y) = 0?
-1, 2
Let o = -15 + 9. Let u be (-16)/(-140) - o/21. Suppose u + 3/5*m + 1/5*m**2 = 0. What is m?
-2, -1
Solve 14*b**2 - 12*b**4 - 8*b**2 - 4*b**2 - 6*b**2 + 12*b**3 + 4*b**5 = 0.
0, 1
What is l in 0 + 3/2*l**4 + 135*l**3 + 264*l**2 + 0*l = 0?
-88, -2, 0
What is n in -1/5*n - 1/5 + 2/5*n**2 + 2/5*n**3 - 1/5*n**4 - 1/5*n**5 = 0?
-1, 1
Let v(p) = p**3 - 217*p**2 - 5*p + 213. Let n(y) = 4*y**3 - 1087*y**2 - 26*y + 1065. Let r(b) = -2*n(b) + 11*v(b). Factor r(u).
3*(u - 71)*(u - 1)*(u + 1)
Let n(y) be the first derivative of 4*y**3/3 - 132*y**2 + 4356*y - 54. Factor n(q).
4*(q - 33)**2
Let n(y) be the second derivative of -1/21*y**4 - 1/70*y**5 - 42*y + 0 + 0*y**2 + 1/105*y**6 + 0*y**3. Factor n(p).
2*p**2*(p - 2)*(p + 1)/7
Let x(l) be the second derivative of -l**5/4 - 85*l**4/12 + 215*l**3/2 - 1035*l**2/2 + 119*l. Factor x(z).
-5*(z - 3)**2*(z + 23)
Let t(i) be the third derivative of -i**5/180 + 5*i**4/2 - 450*i**3 - 259*i**2. Factor t(m).
-(m - 90)**2/3
Let c(x) be the second derivative of x**9/1008 - x**7/140 + x**5/40 - 11*x**3/6 + 12*x. Let r(f) be the second derivative of c(f). Determine y so that r(y) = 0.
-1, 0, 1
Let t be (-5)/2*1/(15/(-36)). Let l(k) = 2*k**2 - 2*k - 5. Let x(z) = 3*z**2 - 3*z - 6. Let c(m) = t*l(m) - 5*x(m). Factor c(d).
-3*d*(d - 1)
Let z be (3 + (-84)/9)*9/6. Let v = -3 - z. Find r, given that -v*r**4 - 7/2*r**2 + 2*r**5 + 15/2*r**3 + 0 + 1/2*r = 0.
0, 1/4, 1
Let m be (-1)/6*10*216/(-240). What is r in 3/2*r - 1/4*r**4 - 11/4*r**2 + 0 + m*r**3 = 0?
0, 1, 2, 3
Let r(b) = -85*b**3 + 177*b**2 - 20*b - 6. Let a(u) = -595*u**3 + 1240*u**2 - 140*u - 40. Let j(g) = -3*a(g) + 20*r(g). Factor j(p).
5*p*(p - 2)*(17*p - 2)
Let v(z) be the third derivative of z**9/120960 - z**8/6720 + z**7/1120 - 11*z**5/60 + 6*z**2 + 3*z. Let p(k) be the third derivative of v(k). Factor p(m).
m*(m - 3)**2/2
Let c(z) = z**3 - 9*z**2 + 12*z + 14. Let y be c(7). Suppose y = -75*r + 80*r - 10. What is u in 1/2*u**2 + 0 + r*u = 0?
-4, 0
Let t(w) = w**2 + 1351*w - 75257. Let k(s) = -675*s + 37629. Let x(i) = 7*k(i) + 3*t(i). Solve x(p) = 0 for p.
112
Factor -2/5*s**2 + 1/10*s**3 + 2/5 - 1/10*s.
(s - 4)*(s - 1)*(s + 1)/10
Let c(j) be the third derivative of j**7/735 - j**6/70 - 3*j**5/70 + j**4/6 - 740*j**2. What is k in c(k) = 0?
-2, 0, 1, 7
Let j be 35*32/224 - (-1)/((-1)/2). Let 16/7*s + 0 - 6/7*s**4 - 164/7*s**j + 24/7*s**2 + 40/7*s**5 = 0. Calculate s.
-2, -1/4, 0, 2/5, 2
Let x = -2777 + 2777. Suppose -2/11*k**2 - 6/11*k + x = 0. What is k?
-3, 0
Let d