3 + 24*p - 283*p**3 - 21*p**5 + v*p**2 - 31*p**2 - 57*p**4 - 12 = 0.
-2, -1, 2/7, 1
Let g(b) be the third derivative of b**7/14 - 535*b**6/24 + 89*b**5/6 + 41*b**2 + 5. Factor g(h).
5*h**2*(h - 178)*(3*h - 1)
Let y be (-4*(-339)/18)/((-90)/(-36)). Let u = -30 + y. Factor u - 2/15*t**2 - 2/15*t + 2/15*t**3.
2*(t - 1)**2*(t + 1)/15
Factor -56*j**3 + 2/5*j**5 + 0 + 0*j + 0*j**2 + 136/5*j**4.
2*j**3*(j - 2)*(j + 70)/5
Let h(y) be the first derivative of -y**3/3 - 312*y**2 - 623*y + 4819. Factor h(i).
-(i + 1)*(i + 623)
Solve 4/11*k**2 - 10/11*k + 2/11*k**3 - 12/11 = 0.
-3, -1, 2
Let v be (-25*(-12)/735)/((-12)/105*(-20)/8). Suppose -v*o**3 + 0*o - 2/7*o**2 + 0 - 8/7*o**4 = 0. What is o?
-1, -1/4, 0
Factor -8649/4 + 93/2*b - 1/4*b**2.
-(b - 93)**2/4
Let u(g) be the second derivative of g**8/504 + g**7/315 - 57*g**2/2 - 41*g + 1. Let v(h) be the first derivative of u(h). Determine c so that v(c) = 0.
-1, 0
Suppose c + 3*j = 36, -2*c = 1251*j - 1256*j + 49. Factor 0*w + 1/3*w**c + 1/3*w**2 - 1/3*w**4 + 0 - 1/3*w**5.
-w**2*(w - 1)*(w + 1)**2/3
Let v be -25*(-5 + 2) + 5. Let b be v/(-6)*60/(-50). Factor 6*g - b + 2*g**3 + 4*g**2 + 2*g - 16*g.
2*(g - 2)*(g + 2)**2
Let s be (619/3)/(28/(-36)). Let j = s - -269. Suppose -j*u**2 - 54/7*u**3 - 2*u**5 - 4/7*u + 0 - 46/7*u**4 = 0. What is u?
-1, -2/7, 0
Factor 445/3*b - 446/3*b**3 - 221/3*b**4 - 2/3*b**2 + 223/3 + 1/3*b**5.
(b - 223)*(b - 1)*(b + 1)**3/3
Let a(w) be the first derivative of 0*w - 1/300*w**5 + 0*w**2 - 2*w**3 + 1/30*w**4 + 26 - 1/900*w**6. Let q(m) be the third derivative of a(m). Factor q(d).
-2*(d - 1)*(d + 2)/5
Suppose -126*l + 226 = -553 + 527. Factor 0 + 2/19*x**l - 10/19*x.
2*x*(x - 5)/19
Let r be 12*((-760)/(-855) - (-148)/(-180)). Solve -116/5*q - 112/5 - r*q**2 = 0 for q.
-28, -1
Suppose 2*j - 7*j - 10 = 0, -2*j = -2*q + 14. What is p in 7*p**2 - 36*p**5 + 80*p**3 + q*p**4 + 16*p**5 - 27*p**2 = 0?
-2, 0, 1/4, 2
Find l, given that -48 - 605284/3*l**2 - 6224*l = 0.
-6/389
Let d(k) be the second derivative of k**6/75 + 3*k**5/25 + 13*k**4/30 + 4*k**3/5 + 4*k**2/5 - 1034*k. Factor d(f).
2*(f + 1)**2*(f + 2)**2/5
Let i = 228986/143135 - -6/28627. Factor -6/5 + 2/5*h**2 + 4/5*h**3 - i*h.
2*(h + 1)**2*(2*h - 3)/5
Let u(g) = 14*g**2 + 5640*g - 3516552. Let m(l) = l**2 + 21*l. Let n(r) = 16*m(r) - u(r). Factor n(f).
2*(f - 1326)**2
Let b(u) be the first derivative of -u**4/28 - 4*u**3 + 85*u**2/14 + 2819. Factor b(p).
-p*(p - 1)*(p + 85)/7
Let u(b) = 55*b**4 + 99220*b**3 + 150*b**2 - 75*b - 75. Let m(v) = 3*v**4 + 5222*v**3 + 8*v**2 - 4*v - 4. Let f(t) = -75*m(t) + 4*u(t). Factor f(s).
-5*s**3*(s - 1046)
Suppose 531 = 5*y - 54. Suppose -y = -6*k + 75. Suppose -12*n**4 + 16*n**4 + 81*n**2 + 80*n + 28*n**3 - 9*n**2 + k = 0. What is n?
-2, -1
Let l(g) = -2*g**3 + 88*g**2 - 250*g + 18. Let s be l(3). Factor 4/9 + s*t - 28/9*t**2.
-2*(t - 2)*(14*t + 1)/9
Let m(g) = -g**5 - 16*g**4 - 17*g**3 - 5*g**2 + 15. Let w(d) = -4*d**5 - 80*d**4 - 84*d**3 - 24*d**2 + 80. Let q(u) = -16*m(u) + 3*w(u). Factor q(b).
4*b**2*(b + 1)**2*(b + 2)
Suppose -1 = -f - 0, -4*n - 4*f = -16. Suppose -q + 4 = i - n*i, 0 = -2*i - 2*q + 8. Factor -2*j + i*j**2 + 0 + 1/2*j**4 + 3/2*j**3.
j*(j - 1)*(j + 2)**2/2
Let z(b) be the third derivative of b**7/315 + 139*b**6/180 + 881*b**5/15 + 869*b**4 + 2904*b**3 + 218*b**2 - 2. Determine f so that z(f) = 0.
-66, -6, -1
Let g(j) be the third derivative of -j**5/100 - 53*j**4/20 - 104*j**3/5 + 776*j**2. Find m such that g(m) = 0.
-104, -2
Let m be (-266)/(-4)*256/448. Solve 140*s - m*s**2 - 184 + 121*s - 85*s - 3*s**3 + s**3 = 0.
-23, 2
Suppose 11*q + 8 = 30. Suppose 5*n = 4*n + q. Determine c, given that 12 + 24 + 41*c**2 - 37*c**n - 4*c - 20*c = 0.
3
Let l(s) be the second derivative of s**6/135 + 4*s**5/15 + 13*s**4/6 - 338*s**3/27 + 992*s. Factor l(u).
2*u*(u - 2)*(u + 13)**2/9
Let i(p) be the first derivative of -p**4/12 + 613*p**3/9 + p**2/6 - 613*p/3 - 9026. Solve i(u) = 0 for u.
-1, 1, 613
Let x be 2/2 + 9/12*4. Suppose -2 = -3*u + x. Factor 3*o**3 - 3*o**3 + 7*o**2 - o**u + 3*o**3.
3*o**2*(o + 2)
Factor 124/5*d + 99*d**2 + 0 - 4/5*d**3.
-d*(d - 124)*(4*d + 1)/5
Let r(u) = 2*u**2 + 15*u - 17. Let w be r(-12). Suppose 2*o - w = -5*o. Find g, given that 18*g**2 - 10*g**2 - 5*g**2 - g + 9 + o*g = 0.
-3, -1
Let q(c) be the second derivative of c**4/144 - 31*c**3/72 + 19*c**2/2 + 1249*c + 1. Determine j so that q(j) = 0.
12, 19
Let r(t) be the second derivative of 16/5*t**2 - 1/10*t**4 + 140*t + 0 + 1/100*t**5 + 0*t**3. Factor r(g).
(g - 4)**2*(g + 2)/5
Let n(y) be the second derivative of -y**3 + 59*y**2 - 35*y - 2. Let f be n(19). Solve -8/15*p + 2/15*p**f + 8/15*p**3 + 0 - 2/15*p**2 = 0 for p.
-4, -1, 0, 1
Let t(k) = -41*k - 101. Let f be t(-3). Factor 20*a**3 - f*a**4 + 27*a - 30*a**2 + 2*a**5 - 40*a**2 + a - 4*a**2 + 46*a**3.
2*a*(a - 7)*(a - 2)*(a - 1)**2
Factor 0 + 704/3*x**4 + 88/3*x**2 + 2306/9*x**3 + 8/9*x + 512/9*x**5.
2*x*(x + 2)**2*(16*x + 1)**2/9
Let j = 330265/392122 + -3/20638. Factor 2/19*b**2 + 12/19*b + j.
2*(b + 2)*(b + 4)/19
Let v(b) = -33*b - b**3 - b**4 - 2 + 26*b + 0 - 5*b**2. Let n(k) = -k**4 - k**3 - k**2 - k. Let m(g) = -10*n(g) + 5*v(g). Let m(x) = 0. What is x?
-1, 2
Let d(y) = -310*y**3 + 6900*y**2 + 591660*y - 598565. Let i(h) = -83*h**3 + 1725*h**2 + 147915*h - 149641. Let c(z) = -4*d(z) + 15*i(z). Factor c(l).
-5*(l - 1)*(l + 173)**2
Let r(f) be the second derivative of -f**4/48 + 5*f**3/12 + 33*f**2 + 2*f + 505. Factor r(n).
-(n - 22)*(n + 12)/4
Suppose 22 = 3*d - 5*u + 1, 2*d - 14 = -2*u. Let z(h) = -h**3 + 3*h**2 + 26*h + 14. Let m be z(d). Factor 0*r + m + 1/9*r**5 + 0*r**2 + 1/9*r**4 - 2/9*r**3.
r**3*(r - 1)*(r + 2)/9
Let l(s) be the second derivative of 0 + 7/12*s**4 + 0*s**2 + 5/3*s**3 - 64*s + 1/20*s**5. Let l(r) = 0. Calculate r.
-5, -2, 0
Let w be 1/(5/(-10) + (-1)/(-4)). Let o be w - (-8)/((-8)/(-9)). Factor -3 + 120*v**4 - 56*v**2 + 68*v - 4*v**o - 46*v**4 - 21 - 58*v**4.
-4*(v - 3)*(v - 1)**3*(v + 2)
Let c(p) be the third derivative of p**6/420 + 22*p**5/21 + 3959*p**4/28 - 8214*p**3/7 - 1346*p**2. Factor c(m).
2*(m - 2)*(m + 111)**2/7
Let f = -137 + 241. Suppose -100*o + 184*o - f*o - 4*o**2 - 16 = 0. Calculate o.
-4, -1
Let n(o) be the first derivative of o**6/3420 - 14*o**5/285 + 196*o**4/57 + 30*o**3 - o**2 - 101. Let j(u) be the third derivative of n(u). Factor j(h).
2*(h - 28)**2/19
Let l(h) = -h**3 - h**2 - 40*h - 2. Let c(i) = 15*i**3 + 87*i**2 + 315*i + 156. Let o(z) = -c(z) - 3*l(z). Factor o(d).
-3*(d + 2)*(2*d + 5)**2
Suppose -25*m**3 - 4996*m + 180*m**2 + 9936*m - 5200*m = 0. Calculate m.
0, 2, 26/5
Let h(t) be the first derivative of 23/8*t + 25/24*t**3 + 1/32*t**4 - 97 + 47/16*t**2. Factor h(u).
(u + 1)**2*(u + 23)/8
Let a(k) = -10*k**2 - 25*k + 25. Suppose -4*j - 5*j + 45 = 0. Let b(h) = -9*h**2 - 25*h + 26. Let v(o) = j*b(o) - 4*a(o). Factor v(n).
-5*(n - 1)*(n + 6)
Let f be (1/(-2))/((-2)/100). Let t(b) = -92*b + 373. Let j be t(4). Find s such that 65*s**2 - 15*s + 10*s - f*s - 5*s**4 - 35*s**3 + j*s**5 = 0.
-3, 0, 1, 2
Determine j, given that 0 - 2/9*j**2 + 1154/9*j = 0.
0, 577
Let -20*q**2 + 67*q**2 - 22*q**2 - 608 - 604*q - 21*q**2 = 0. What is q?
-1, 152
Let v = -379 + 382. Find i, given that -200*i**4 + 3*i + 79*i**2 + 218*i**3 + 35*i**5 + 243*i**3 - 63*i - 179*i**2 - 136*i**v = 0.
-2/7, 0, 1, 2, 3
Suppose -5*r - 110 = -5*l, 2*r - 105 = -5*l - 23. Find p such that -p**2 + 2*p**2 - l + 18*p + p**2 - 2 = 0.
-10, 1
Let r(s) be the first derivative of s**5/90 - s**4/9 - s**3/27 + 2*s**2/3 - 83*s - 220. Let q(g) be the first derivative of r(g). Factor q(i).
2*(i - 6)*(i - 1)*(i + 1)/9
Factor -6/7*p + 5/7*p**2 + 0 + 1/7*p**3.
p*(p - 1)*(p + 6)/7
Let k(d) be the second derivative of -d**7/231 - d**6/55 + d**5/11 + 5*d**4/11 - 3*d**3/11 - 27*d**2/11 + 3739*d - 1. Solve k(h) = 0 for h.
-3, -1, 1, 3
Suppose -4 = d + 5*u, -44 = -0*d - 4*d - 5*u. Suppose -a - 5 = -k, -2*k = 3*a + a - d. Factor 37 + 3*r - 37 + 6*r**4 - k*r**2 - 3*r**5.
-3*r*(r - 1)**3*(r + 1)
Let c(r) = -1. Let m(i) be the second derivative of i**4/12 - 5*i**2/2 + 14*i. Let s(d) = -5*c(d) + 5*m(d). Factor s(w).
5*(w - 2)*(w + 2)
Let z be 12 + 2/((-16)/24) + -6. Let i(p) be the first derivative of 1/2*p**4 + 14 + 4*p**z - 64*p + 0*p**2. Suppose i(l) = 0. What