3*r = -672. Factor -9*n**2 + n**2 - 12*n**3 + r*n**3 - 21*n**3 - 2*n**2.
-n**2*(n + 10)
Let f = -487 - -490. Let d(v) = -3*v. Let a(q) = -4*q**2 - 335*q - 7396. Let r(y) = f*d(y) + a(y). Factor r(z).
-4*(z + 43)**2
Let j(c) be the first derivative of -1/25*c**5 + 0*c**2 - 1/30*c**6 - 1/5*c**3 + 1/4*c**4 + 0*c - 83. Factor j(g).
-g**2*(g - 1)**2*(g + 3)/5
Factor 156*d + 2*d**4 + 41*d**2 + 255*d**2 - 19560 + 19038 + 68*d**3.
2*(d - 1)*(d + 3)**2*(d + 29)
Let g = 87/170 - 7/17. Let q be -34 + 15672/240 + -25. Factor -49/10*y - g*y**4 + 0 - q*y**2 - 3/2*y**3.
-y*(y + 1)*(y + 7)**2/10
Suppose 963 = 5*h + 938. Suppose -5*a = -4*d - 15, -a - 2*d = -3*a + 6. Factor -16*t**2 + 12*t**a + 3*t + 16*t**4 - t + 4*t**h - 18*t.
4*t*(t - 1)*(t + 1)*(t + 2)**2
Let x(p) = p**2 + 17*p + 60. Let l be x(-12). Suppose l = -71*f + 67*f + 3*b + 15, 4*b = 4*f - 20. Factor -1/7*y + f + 4/7*y**2 + 2/7*y**4 - 5/7*y**3.
y*(y - 1)**2*(2*y - 1)/7
Let a(q) = -q**2 - 25*q + 120. Let w be a(-27). Factor 63*g**3 + 16*g - 16*g**4 - w*g**2 - 104*g**5 - 12*g**4 + 8*g + 4*g**4 + 107*g**5.
3*g*(g - 4)*(g - 2)*(g - 1)**2
Let a(w) = -w**2 + 7*w + 103. Let o be a(14). Factor 11*g**4 + g**4 + 4*g**o + g**2 - 17*g**2.
4*g**2*(g - 1)*(g + 2)**2
Suppose -4*c + 271 = 2*f + 269, 0 = -5*c - 3*f. Find y such that -164/5*y**2 - 320 - 352*y - 4/5*y**c = 0.
-20, -1
Factor -598/5*s - 528/5 - 2/5*s**3 - 72/5*s**2.
-2*(s + 1)*(s + 11)*(s + 24)/5
Let f(t) = 38*t**2 - 164*t - 160. Let g(d) = -7*d**2 - 2*d - 2. Let r(j) = f(j) + 6*g(j). Determine x so that r(x) = 0.
-43, -1
Let d(j) be the third derivative of 0 + 6*j**2 + 0*j + 2/9*j**4 + 4/45*j**5 - 2/315*j**7 + 0*j**6 - 1/1008*j**8 + 0*j**3. Factor d(o).
-o*(o - 2)*(o + 2)**3/3
Factor 126 + 277*c + 11*c**3 - 6*c**4 + 32*c**3 + 17*c**4 - 10*c**4 - 16*c**3 + 177*c**2.
(c + 1)**2*(c + 7)*(c + 18)
Solve 32/5 - 156/5*n**2 + 88/5*n + 4*n**3 + 16/5*n**4 = 0.
-4, -1/4, 1, 2
Let j be (-32)/((-1024)/(-416)) + (-94)/(-6). Determine w so that -j - 2/9*w**2 + 16/9*w = 0.
2, 6
Let d(n) be the second derivative of -22*n**2 + 2*n**4 + 82*n + 1/10*n**5 + 0 + 3*n**3. Suppose d(j) = 0. Calculate j.
-11, -2, 1
Suppose -16*y + 56 = -14*y - t, 2*y + 4*t - 46 = 0. Determine x, given that 7/2*x**2 + y*x - 8 = 0.
-8, 2/7
Let p(v) be the second derivative of v**6/180 + v**5/12 + v**4/2 + 95*v**3/6 - 3*v - 12. Let i(c) be the second derivative of p(c). Find t, given that i(t) = 0.
-3, -2
Let d(i) be the third derivative of 0*i + 0 + 35*i**2 - 1/90*i**5 + 2/9*i**3 - 1/36*i**4. Solve d(g) = 0.
-2, 1
Let b(z) be the third derivative of -z**5/120 - 91*z**4/12 - 8281*z**3/3 + 815*z**2. Find v, given that b(v) = 0.
-182
Let z be 1 - (12 + -14)*1. Let j(y) be the first derivative of -3/5*y**5 + 1/4*y**4 - 1/6*y**6 + 11/3*y**z + 4*y + 5 + 6*y**2. Find f such that j(f) = 0.
-2, -1, 2
Let q = -20119/3 - -6707. Let i(h) be the third derivative of -h**2 - q*h**3 + 0*h - 1/240*h**5 + 0 + 1/12*h**4. Determine r, given that i(r) = 0.
4
Let u be 3 + 0 + 6 + -3. Suppose -8 + 14*l**2 + 9*l**3 - u*l**4 - 8*l + 3*l**3 - 6*l**3 + 2*l**3 = 0. What is l?
-1, -2/3, 1, 2
Let j(q) = -15*q**4 - 120*q**3 - 795*q**2 + 2425*q - 1895. Let v(p) = -p**4 - 10*p**3 - 66*p**2 + 202*p - 158. Let c(w) = 2*j(w) - 25*v(w). Factor c(l).
-5*(l - 2)**3*(l + 4)
Let w(p) be the third derivative of p**7/210 - 173*p**6/6 + 149645*p**5/2 - 647214625*p**4/6 + 559840650625*p**3/6 + 416*p**2 + p. Solve w(f) = 0 for f.
865
Let d = -102475 + 512379/5. Factor -a - 1/5*a**3 + 2/5 + d*a**2.
-(a - 2)*(a - 1)**2/5
Find p, given that 1942/3*p - 942841/3 - 1/3*p**2 = 0.
971
Let n = -14 + 16. Suppose -n*a = -p, a + 16 = 5*p - a. Factor 4*k - 6*k**2 + 4 + 0*k - k**2 + p*k**2.
-(k - 2)*(3*k + 2)
Let r(l) = l**4 - l**2 - l + 1. Let a(f) = -6*f**4 + 5*f**3 + 2*f**2 - 1. Let n(g) = -4*g + 17. Let w be n(4). Let c(q) = w*a(q) + 5*r(q). Factor c(d).
-(d - 4)*(d - 1)**2*(d + 1)
Let d be (3 - 356/120)/(547/5470). Factor -d*o**2 - 80/3*o - 1600/3.
-(o + 40)**2/3
Let m(p) be the third derivative of p**7/70 + p**6/40 - 13*p**5/20 - 25*p**4/8 - 6*p**3 + 22*p**2. Factor m(t).
3*(t - 4)*(t + 1)**2*(t + 3)
Let q(y) = -5*y**3 + 39*y**2 - 444*y - 528. Let u(k) = -6*k**3 + 38*k**2 - 445*k - 539. Let a(c) = 5*q(c) - 4*u(c). Factor a(p).
-(p - 22)**2*(p + 1)
Determine x so that -2029*x + 2074*x + 26*x**3 - 85*x**2 - 13*x**3 + 5*x**4 + 22*x**3 = 0.
-9, 0, 1
Let n(k) be the third derivative of -k**9/22680 - k**8/2520 - k**7/900 - k**6/900 + 59*k**3/6 - 101*k**2. Let u(s) be the first derivative of n(s). Factor u(p).
-2*p**2*(p + 1)**2*(p + 3)/15
Let u(w) = -2 + 0 - w + 1. Suppose 8 = 29*a - 34*a + 3. Let i(k) = k**2 - 12*k + 2. Let s(o) = a*i(o) + 6*u(o). Factor s(t).
-(t - 4)*(t - 2)
Factor -1746*s + 95*s**2 - 1700*s - s**3 + 3352*s.
-s*(s - 94)*(s - 1)
Suppose -3*l - 1509 - 2660 = -2*o, -2*o + 4175 = -5*l. Determine g, given that 10*g**2 + 50*g + 26*g**2 - 2076*g**3 + o*g**3 + 28 + 10*g = 0.
-7, -1
Let 72149 - 3*n**2 - 171*n**2 - 72230 + 4*n**5 - 318*n**3 + 327*n - 13*n**5 + 255*n**4 = 0. Calculate n.
-1, 1/3, 1, 27
Let i(o) be the third derivative of 19*o**5/20 - 4*o**4 - 51*o**3/2 + o**2 - 15*o. Let h(x) = -7*x**2 + 12*x + 19. Let k(m) = 33*h(m) + 4*i(m). Factor k(z).
-3*(z - 5)*(z + 1)
Factor 0 + 4/5*w - 2642/5*w**2.
-2*w*(1321*w - 2)/5
Let x(a) = -88*a - 66. Let q be x(-1). Suppose g - 4*v + q - 46 = 0, 4*v + 12 = -2*g. Factor 16/15*t**3 - 2/15*t**g - 16/3*t - 10/3 - 4/5*t**2.
-2*(t - 5)**2*(t + 1)**2/15
Let q = 328 - 306. Find u such that 64 + q - 438*u + 1066 + 2207*u + 2024*u**2 + 484*u**3 + 919*u = 0.
-2, -12/11
Find s such that 0*s - 1/4*s**4 - 39/4*s**3 - 19/2*s**2 + 0 = 0.
-38, -1, 0
Let f(p) be the first derivative of 2*p**7/21 + 2*p**6/15 - p**5 + p**4 + 42*p + 84. Let m(k) be the first derivative of f(k). Factor m(j).
4*j**2*(j - 1)**2*(j + 3)
Let g(f) = -3*f**4 + 769*f**3 - 1534*f**2 + 773*f + 5. Let q(y) = -y**4 + y**3 + y + 1. Let d(s) = -2*g(s) + 10*q(s). Find m such that d(m) = 0.
-384, 0, 1
Suppose -150402*c - 256 = -150530*c. Factor -1936/9 - 4/9*l**c - 176/9*l.
-4*(l + 22)**2/9
Determine d so that -112*d**2 - 120*d - 119*d**2 - 252 - 109*d**2 + 343*d**2 = 0.
-2, 42
Let f = 2665337/4 - 666334. Factor 1/2*g - 1/4*g**2 - f.
-(g - 1)**2/4
Find w such that -4*w**4 - 588394*w**2 - 3873*w**3 - 5*w**4 - 138675*w + 171079*w**2 = 0.
-215, -1/3, 0
Determine v, given that 156*v - 242*v**2 - 25/4*v**5 - 28 + 34*v**3 + 345/4*v**4 = 0.
-2, 2/5, 1, 14
Let c(r) be the second derivative of 5*r**7/14 + 32*r**6/9 - 155*r**5/12 + 205*r**4/18 - 1730*r. Factor c(j).
5*j**2*(j - 1)**2*(9*j + 82)/3
Let p(h) = 15*h**3 + 560*h**2 - 1375*h - 20. Let x(k) = 5*k**3 + 189*k**2 - 458*k - 7. Let d(q) = 7*p(q) - 20*x(q). Suppose d(b) = 0. What is b?
-31, 0, 3
Let h = -1314292 + 1314296. Find n, given that -40/9*n**h + 40/9*n**2 + 0 + 44/9*n**3 - 14/3*n - 2/9*n**5 = 0.
-21, -1, 0, 1
Let o(d) be the second derivative of -d**4/3 - 98*d**3/3 - 656*d**2 + 307*d + 1. Find u such that o(u) = 0.
-41, -8
Let z(i) be the first derivative of -i**8/840 - 11*i**7/2100 - i**6/450 + 17*i**3 + 7. Let f(w) be the third derivative of z(w). Find q such that f(q) = 0.
-2, -1/5, 0
Factor 657*x**2 + 144*x**4 - 243*x**4 - 7712*x + 10112 - 182*x**3 + 101*x**4 + 1335*x**2.
2*(x - 79)*(x - 4)**3
Let o(m) = -m**2 + 19*m + 7. Let r be o(8). Let w = r - 91. Let 15*i**3 - 6*i**w - i**4 + 2*i**4 = 0. What is i?
0, 3
Let m(r) be the first derivative of r**7/210 + 2*r**6/15 - r**5/30 - 2*r**4 + 32*r**3/3 + 1. Let b(s) be the third derivative of m(s). Let b(q) = 0. What is q?
-12, -1, 1
Solve 2/9*n - 10/9*n**4 + 2/9*n**5 + 20/9*n**2 - 10/9 - 4/9*n**3 = 0.
-1, 1, 5
Suppose 2*t + 0 = 50. Let p = t - 15. Determine v, given that 0*v**3 - 6*v**2 + 2*v + 0*v + p*v**2 - 4 - 2*v**3 = 0.
-1, 1, 2
Let b(f) be the first derivative of -1/3*f**3 - 1/2*f**2 + 6*f + 206. What is p in b(p) = 0?
-3, 2
Let r(x) = x**3 + 2*x**2 - 48*x + 135. Let d be r(-9). Let q = 30 + -28. Factor d - 3/5*j**3 - 27/5*j - 18/5*j**q.
-3*j*(j + 3)**2/5
Let s be (-46)/(-24) + 26/312. Suppose 20*d**s - 6050 + 18*d**2 - 40*d**2 - 220*d = 0. What is d?
-55
Let s(z) be the first derivative of z**4/14 - 122*z**3/7 - 369*z**2/7 - 370*z/7 - 256. Determine j so that s(j) = 0.
-1, 185
Let s(h) = -6*h**2 + 82*h - 102. Let d be s(12). Let i(y) be 