04*y. Let m = -79/45 - -11/5. Factor m*j**4 + 0*j + y - 16/9*j**2 - 4/3*j**3.
4*j**2*(j - 4)*(j + 1)/9
Let r(d) = -14*d + 168. Let c be r(12). Suppose -6*b - b = -c*b. What is j in b + 6/5*j**4 - 3/5*j**5 + 0*j**3 + 0*j + 0*j**2 = 0?
0, 2
Let w(n) = -252*n**2 + 518*n - 230. Let s(f) = 83*f**2 - 173*f + 77. Suppose 26 = 18*h + 278. Let p(z) = h*s(z) - 5*w(z). Determine d so that p(d) = 0.
6/7
Let d(j) be the third derivative of -j**8/60480 + j**7/5040 - j**5/30 - 7*j**4/24 + 27*j**2. Let t(i) be the third derivative of d(i). What is h in t(h) = 0?
0, 3
Factor -6*p**2 - 1/2*p**3 + 6 + 1/2*p.
-(p - 1)*(p + 1)*(p + 12)/2
Let p(i) = 120*i + 12842. Let f be p(-107). What is h in 495*h**f - 27/2*h**5 + 186*h**4 + 375 + 3675/2*h - 768*h**3 = 0?
-1, -2/9, 5
Let s(j) = -j**2 - 98*j - 95. Let f(b) = -2*b**2 - 96*b - 91. Let g(m) = -2*f(m) + 3*s(m). Find k such that g(k) = 0.
-1, 103
Let r(y) be the first derivative of -8/7*y**2 - 3/7*y + 14 - 5/21*y**3. Factor r(z).
-(z + 3)*(5*z + 1)/7
Let p(m) be the first derivative of 2*m**6/3 + 32*m**5/5 + 15*m**4 - 836. Factor p(u).
4*u**3*(u + 3)*(u + 5)
Let x be (((-19)/(-38))/(2/(-12)))/(-63). Let c(n) be the third derivative of x*n**3 - 5/168*n**4 + 1/140*n**5 + 0*n + 0 + 11*n**2. Factor c(b).
(b - 1)*(3*b - 2)/7
Let o(y) = 5*y - 350. Let q be o(70). Let k(x) be the first derivative of 16 - 8/3*x + q*x**2 + 2/9*x**3. Factor k(z).
2*(z - 2)*(z + 2)/3
Let f(j) be the third derivative of -j**6/660 - j**5/22 + 119*j**4/44 - 1421*j**3/33 + 3104*j**2. Let f(m) = 0. Calculate m.
-29, 7
Let r be 2523/1682 - ((-9)/4)/(75/(-40)). Find p such that -1/10*p**3 + r*p**2 + 2/5*p + 0 = 0.
-1, 0, 4
Suppose 21*k = 22*k + 44. Let b be (-2)/5 + k/(-60). Factor 0 - 2*a - b*a**2.
-a*(a + 6)/3
Let y(k) be the third derivative of k**5/270 - 23*k**4/12 + 206*k**3/27 - 2150*k**2 + 2. Factor y(u).
2*(u - 206)*(u - 1)/9
Let h(l) = 22*l**2 - 261*l - 32. Let q be h(12). Let o(f) be the first derivative of -3/20*f**q + 8 + 9/10*f**2 + 6/5*f + 0*f**3. Factor o(t).
-3*(t - 2)*(t + 1)**2/5
Let m(x) = 4*x**3 - 56*x**2 - 240*x - 189. Let a(y) = -y**3 + y + 3. Let z(c) = 15*a(c) + 5*m(c). Solve z(p) = 0.
-3, -1, 60
Let t(o) be the second derivative of -o**7/56 - o**6/20 + 3*o**5/10 - 3205*o. Solve t(m) = 0.
-4, 0, 2
Let h = -169 - -172. Solve -o**2 + o - 2*o**2 - h*o**3 + 6*o**3 - o**4 = 0 for o.
0, 1
Let m = 1807 + -1803. Let y(c) be the second derivative of -3/20*c**5 + 0 + 1/2*c**3 + 1/10*c**6 + 35*c - 1/4*c**m + 0*c**2. Factor y(s).
3*s*(s - 1)**2*(s + 1)
Let w = 5371 - 5369. Let y(d) be the first derivative of 0*d**2 - w - 1/4*d**4 + 0*d - 1/3*d**3. Solve y(i) = 0 for i.
-1, 0
Factor -u**2 - 700*u + 279*u - 1188 + 35*u - 211*u - 592*u.
-(u + 1)*(u + 1188)
Let f(l) = -5*l**2 - 37*l + 10. Let o(t) = -4*t**2 - 34*t + 14. Let d(h) = 3*f(h) - 4*o(h). Let d(x) = 0. What is x?
-26, 1
Let u = 21082742/15 - 1405516. What is f in 14/15 + 16/15*f + u*f**2 = 0?
-7, -1
Let g(j) be the second derivative of -j**5/5 - 20*j**4/3 + 134*j**3/3 - 92*j**2 + 223*j + 1. Factor g(d).
-4*(d - 2)*(d - 1)*(d + 23)
Let p(l) = 2*l**2 + 10*l - 30. Let s be p(-7). Let y be (-180)/(-14) - (s - -10). Factor 10/7*o**2 - y*o + 12/7.
2*(o - 3)*(5*o - 2)/7
Let b = -72 + 74. Suppose k - 19 = -5*p, -2*p + 2 = -4*p + b*k. Factor 5*y**5 + 3*y**2 - 6*y**p + 8*y + 4*y**4 - 11*y**2 - 3*y**5.
2*y*(y - 1)**2*(y + 2)**2
Let x(k) be the third derivative of -k**8/16800 - 2*k**7/175 - 18*k**6/25 + 51*k**4/8 + 4*k**2. Let b(j) be the second derivative of x(j). Factor b(v).
-2*v*(v + 36)**2/5
Let d be 12/(-10) + (-805)/(-322)*(1 + 59/25). Factor -d + 1/5*n**2 + 9/5*n.
(n - 3)*(n + 12)/5
Let h be -3 + 1/(-7) + 29/7. Let i(b) = 10*b**3 - 30*b**2 - 20*b. Let o(q) = q**3 - 2*q**2 + q. Let s(g) = h*i(g) - 5*o(g). Factor s(n).
5*n*(n - 5)*(n + 1)
Find y, given that 8*y**2 + 9*y + 31*y**3 + 52*y**3 - 87*y**3 + 51*y = 0.
-3, 0, 5
Suppose 2/5*f**2 - 352/5 + 16*f = 0. Calculate f.
-44, 4
Let n(r) = r**3 + 866*r**2 - 869*r - 1709. Let m(b) = b**3 + 1301*b**2 - 1304*b - 2564. Let o(q) = 5*m(q) - 8*n(q). Factor o(c).
-3*(c - 2)*(c + 1)*(c + 142)
Suppose 0 = -16*w + 6*w + 20. Suppose -7 = w*j - 11. Factor 71 - 71 + 3*q**3 + 3*q**j.
3*q**2*(q + 1)
Let r(z) be the second derivative of 2*z**7/105 + 4*z**6/15 - 2*z**5/25 - 4*z**4/3 + 2*z**3/15 + 4*z**2 - 232*z. Solve r(v) = 0 for v.
-10, -1, 1
Let y(z) be the second derivative of -z**5/150 - z**4/30 + 21*z**2/2 - 54*z. Let p(i) be the first derivative of y(i). Factor p(f).
-2*f*(f + 2)/5
Let p(m) be the second derivative of -m**6/960 + 7*m**5/160 - 49*m**4/64 + 41*m**3/6 + 54*m. Let c(r) be the second derivative of p(r). Factor c(a).
-3*(a - 7)**2/8
Let a = 621/4 - 1861/12. Let l(j) be the second derivative of 9*j + 1/90*j**6 + a*j**2 - 1/18*j**4 + 0*j**5 + 0 + 0*j**3. Solve l(h) = 0.
-1, 1
Let q(n) = 395*n**2 + 1940*n - 125. Let f(z) = 197*z**2 + 970*z - 55. Let s(d) = 5*f(d) - 2*q(d). Find v, given that s(v) = 0.
-5, 1/39
Let y(b) be the first derivative of b**3/4 + 339*b**2/8 - 345*b/2 - 146. Find o, given that y(o) = 0.
-115, 2
Let d(r) = 159*r**3 + 1872*r**2 - 10735*r + 12800. Let l(a) = -158*a**3 - 1872*a**2 + 10740*a - 12800. Let u(n) = -4*d(n) - 3*l(n). Let u(g) = 0. What is g?
-16, 20/9
Let d(b) be the second derivative of 1/150*b**6 + 1/5*b**2 - 1/20*b**4 - 1/100*b**5 + 2*b - 2 + 1/30*b**3. Factor d(h).
(h - 2)*(h - 1)*(h + 1)**2/5
Let p(n) be the third derivative of 1/330*n**5 + 0*n - 19*n**2 + 16/33*n**3 - 4 - 5/66*n**4. Factor p(z).
2*(z - 8)*(z - 2)/11
Let b(r) = 4*r**5 - 2*r**4 - 12*r**3 + 54*r - 6. Let k(x) = x**5 - x**4 + x**3 + 3*x**2 - 2. Let a(u) = -2*b(u) + 6*k(u). Solve a(g) = 0 for g.
-3, 0, 2, 3
Find u such that -576*u**3 + 14525 + 12*u**4 + 32*u**3 - 59392*u + 3626*u**2 + 12278*u**2 - 280*u**3 + 18243 = 0.
2/3, 4, 32
Let 60*j - 2*j**4 + 0 - 166*j**2 + 204/5*j**3 = 0. What is j?
0, 2/5, 5, 15
Factor 9861144*z + 18*z**3 + 4213995536/3 + 23076*z**2.
2*(3*z + 1282)**3/3
Let s(o) = -105*o**4 + 7215*o**3 - 7110*o**2 + 40*o - 760. Let y(m) = 8*m**4 - 555*m**3 + 547*m**2 - 3*m + 57. Let n(k) = -3*s(k) - 40*y(k). Factor n(l).
-5*l**2*(l - 110)*(l - 1)
Let d(r) = -5*r**4 + 77*r**3 - 62*r**2 - 114*r - 18. Let g(a) = a**4 - 3*a**3 - a + 3. Let n(h) = -d(h) - 6*g(h). Factor n(w).
-w*(w - 2)*(w + 1)*(w + 60)
Let v(z) be the first derivative of 3*z**4/28 - 25*z**3/7 - 3*z**2/14 + 75*z/7 + 706. Factor v(k).
3*(k - 25)*(k - 1)*(k + 1)/7
Factor 168/5 - 23/5*n**2 + 146/5*n - 1/5*n**3.
-(n - 6)*(n + 1)*(n + 28)/5
Let h = 228/355 + -3/71. Let z(l) = 13*l + 250. Let y be z(-19). Factor 0*k + 0 - 1/5*k**y + h*k**2.
-k**2*(k - 3)/5
Let p(l) be the first derivative of 1/42*l**7 + 0*l**4 + 0*l**3 + 1/3*l**5 + 0*l - 16 + 1/6*l**6 - l**2. Let i(h) be the second derivative of p(h). Factor i(d).
5*d**2*(d + 2)**2
Let c(s) be the second derivative of 5*s - 1/72*s**6 - 5/12*s**4 + 5/2*s**3 + 0 + 1/8*s**5 + 0*s**2. Let u(o) be the second derivative of c(o). Factor u(x).
-5*(x - 2)*(x - 1)
Let m be (81/324)/(1 - (-7)/(-8)). Factor -44*j**2 - 4*j**4 - 22*j**3 + 8*j**3 + m*j**4 - 10*j + 22*j**2.
-2*j*(j + 1)**2*(j + 5)
Let p(m) = -m**2 + m. Let f(r) = 16*r**2 - 36*r - 24. Let n be 1 - (28 + -6 + 7). Let j(w) = n*p(w) - 2*f(w). Find h, given that j(h) = 0.
-1, 12
Let o(i) = 4*i**2 - 44*i - 34. Let y be o(12). Let x(k) be the second derivative of 3/10*k**3 - 3/5*k**2 + 0*k**4 + y*k + 0 - 3/100*k**5. Factor x(w).
-3*(w - 1)**2*(w + 2)/5
Let d(p) be the second derivative of -p**6/120 - 13*p**5/120 - p**4/6 + p**3/6 - 41*p**2/2 - 32*p - 1. Let t(r) be the second derivative of d(r). Factor t(u).
-(u + 4)*(3*u + 1)
Let c(q) be the third derivative of -q**6/720 + 7*q**5/90 + 7*q**4/16 - 5*q**3/2 + 217*q**2. Determine a, given that c(a) = 0.
-3, 1, 30
Let k(y) be the third derivative of -25/21*y**3 + 19/21*y**4 - 5 - 1/70*y**5 - 4*y**2 + 0*y. Let k(g) = 0. What is g?
1/3, 25
Let r(a) be the second derivative of 5*a**7/42 - 3*a**6 + 45*a**5/4 + 185*a**4/3 + 70*a**3 - 7335*a. Determine h, given that r(h) = 0.
-1, 0, 6, 14
Let m = 393983 + -393980. Solve 29/7*h - 1/7*h**m - 15/7 - 13/7*h**2 = 0.
-15, 1
Let b = 546 - -911. Let t = b + -21847/15. Let 2/15*g**3 + 0 - 8/15*g**2 + t*g = 0. Calculate g.
0, 2
Factor -77/3*n - 1/6*n**4 + 0 + 85/6*n**2 - 1/3*n**3.
-n*(n - 7)*(n - 2)*(n +