uppose -3*k + 60 = -5*j, -79 + 28 = -4*k - 3*j. Suppose -10*q + 5*q = -k. Factor 3*t**4 + 13*t**3 + 12*t**2 - q*t**3 - 7*t**2 + 2*t**4.
5*t**2*(t + 1)**2
Let m be -4 - (2/(-2) + 13/(52/(-24))). Let a(f) be the first derivative of 7/11*f**2 + 5 - 10/33*f**m - 4/11*f. Solve a(i) = 0 for i.
2/5, 1
Let u(v) be the third derivative of 1/15*v**4 - 2/525*v**7 + 0 - 19*v + 2/75*v**5 + 0*v**3 + 1/840*v**8 - 1/100*v**6 - 3*v**2. Factor u(s).
2*s*(s - 2)**2*(s + 1)**2/5
Let k(t) be the third derivative of -t**5/20 - 389*t**4/12 - 259*t**3/6 + 1555*t**2. Solve k(h) = 0.
-259, -1/3
Let d(z) = 6*z - 4. Let w(b) = 37*b - 24. Let t(n) = 6*d(n) - w(n). Let f(x) = -4*x - 5*x + 4*x**2 + 5*x. Let o(q) = f(q) - 16*t(q). Factor o(l).
4*l*(l + 3)
Let q(m) be the second derivative of -3*m**4/4 - 8*m**3 - 39*m**2/2 - 4*m - 89. Factor q(f).
-3*(f + 1)*(3*f + 13)
Let m(s) = -s**2 + s + 7. Let i be m(12). Let y = -80 - i. Find d, given that 23*d + 5*d**3 - y*d**2 - 13*d + 30*d**2 = 0.
0, 1, 2
Suppose 45514 + 45418 - 72*c + 3*c**2 - 91583 = 0. What is c?
-7, 31
Let y(n) be the second derivative of n**4/36 + 43*n**3/18 + 176*n**2/3 + 18*n - 15. Find m such that y(m) = 0.
-32, -11
Let z(x) = -x**3 + 11*x**2 + 16*x + 10. Let b(a) = -a**3 + 2*a**2 + a + 1. Let v(l) = l**2 - 6*l - 6. Let w be v(6). Let r(s) = w*b(s) + 3*z(s). Factor r(u).
3*(u + 1)*(u + 2)*(u + 4)
Let x be (-34)/(-238)*3/1 - 306/(-70). Factor 0 - 72/5*v - x*v**2 - 2/5*v**3.
-2*v*(v + 6)**2/5
Let r = -8 + 12. Let n = -2222 + 2224. Suppose -9 + 29*l**2 - 26*l**n + 2*l + r*l = 0. What is l?
-3, 1
Solve -23*d**4 - 19*d**3 + 6802*d + 12*d**2 - d**5 + 11*d**4 - 6782*d = 0.
-10, -2, -1, 0, 1
Let i(n) = n**2 + 129*n - 192. Let t(h) = -h**2 - 87*h + 128. Suppose 812*a + 10 = 814*a. Let k(u) = a*i(u) + 7*t(u). Let k(w) = 0. Calculate w.
2, 16
Let d(n) = 5*n**2 + 272*n + 1473. Let r(o) = 5*o**2 + 273*o + 1472. Let u(s) = -2*d(s) + 3*r(s). Let u(g) = 0. What is g?
-49, -6
Let z(b) = b**2 + 1. Let u(a) = 54*a**5 + 3618*a**4 - 11160*a**3 + 12518*a**2 - 6144*a + 1126. Let y(d) = -u(d) + 6*z(d). Solve y(v) = 0 for v.
-70, 2/3, 1
Let h = -463 + 466. Let x(m) be the first derivative of 81/10*m**2 - 39/5*m**h + 54/5*m - 1/5*m**5 + 43/20*m**4 - 9. Find f, given that x(f) = 0.
-2/5, 3
Suppose -5*z = -n - 15, z + 5*n = -4*z - 15. Suppose -z*j + 20 = -4*b - 0*b, 4 = 4*j + b. Factor -4*v**2 - 2*v**3 + j*v**4 + 2*v**4 - 4*v**3 - 4*v**5 + 10*v**3.
-4*v**2*(v - 1)**2*(v + 1)
Let w be (-3)/((-6)/22) - (32 - 2222/66). Let 54 - 66*g - 2/3*g**3 + w*g**2 = 0. Calculate g.
1, 9
Let 1/5*d**3 + 0*d + 4/5*d**2 + 0 = 0. What is d?
-4, 0
Let o(b) be the first derivative of -b**4/38 + 14*b**3/19 - 80*b**2/19 - 3628. Suppose o(d) = 0. What is d?
0, 5, 16
Let l(n) be the first derivative of -4/27*n**3 - 16/3*n**2 - 188 + 100/9*n. Factor l(i).
-4*(i - 1)*(i + 25)/9
Let w(x) be the second derivative of x**7/126 - 2*x**6/9 + x**5/5 + 67*x**4/18 - 13*x**3/18 - 19*x**2 - 3222*x. What is y in w(y) = 0?
-2, -1, 1, 3, 19
Let m be 1640/26240*6976/5. Factor 212/5*p**2 + m*p + 44 - 4/5*p**3.
-4*(p - 55)*(p + 1)**2/5
Let a(f) be the second derivative of -2/3*f**3 + 0*f**2 + 29 - 1/5*f**5 + 2/3*f**4 - 2*f. Find v, given that a(v) = 0.
0, 1
Factor 82*y**3 - 172*y + 4*y**4 - 340*y + 85*y**2 + 10*y**3 + 331*y**2.
4*y*(y - 1)*(y + 8)*(y + 16)
Let l(s) be the second derivative of -5*s**7/168 + 35*s**6/12 - 1523*s**5/16 + 25985*s**4/24 - 8975*s**3/2 + 7875*s**2 + 1210*s. What is d in l(d) = 0?
1, 2, 7, 30
Let r(u) be the first derivative of -u**3/6 + 19*u**2/4 - 35*u - 137. Find o, given that r(o) = 0.
5, 14
Let t(w) be the first derivative of -54 + 0*w + 0*w**2 + 0*w**4 + 0*w**3 + 1/6*w**6 + 4/5*w**5. Factor t(p).
p**4*(p + 4)
Let j be ((-22)/120 + 0)*2*(-42)/3. Let q(y) be the second derivative of -49/25*y**5 - 8/5*y**2 - j*y**4 + 37*y + 0 - 64/15*y**3. Factor q(o).
-4*(o + 1)*(7*o + 2)**2/5
Suppose 4/3*i**5 + 315832/3*i**3 + 208320*i**2 + 103788*i + 2240/3*i**4 + 0 = 0. What is i?
-279, -1, 0
Let d(y) be the first derivative of 0*y - 3/32*y**4 + 1/40*y**5 + 1/8*y**3 - 1/16*y**2 + 35. Let d(g) = 0. Calculate g.
0, 1
Let n = -455 + 458. Solve -14*o**3 - 185*o**4 + 12 + n*o**5 + 24*o - o**3 + 182*o**4 + 3*o**2 = 0.
-1, 2
Suppose -5*s + 45 = 4*a, 0 = 4*s - 3*a - 5. Let f be s/(-3 - 7)*-22. Solve -10*j**4 + 3*j + 44*j**2 - 14*j**4 - 48*j**3 - f*j - 12*j**4 = 0 for j.
-2, 0, 1/3
Let x(m) = -m**3 + 6*m**2 + 21*m - 38. Let p = 1799 + -1791. Let a be x(p). Factor 2/11*f**3 - 10/11*f**a + 6/11*f + 2/11*f**4 + 0.
2*f*(f - 1)**2*(f + 3)/11
Let p be 2/(-28) - 4788/(-1176). Let h(n) be the second derivative of -2/15*n**3 + 0 + 1/20*n**5 + 0*n**2 + 2/15*n**p + 25*n. What is w in h(w) = 0?
-2, 0, 2/5
Let p(z) be the third derivative of z**7/105 + z**6/60 - z**5/10 - z**4/12 + 2*z**3/3 - 2*z**2 + 4*z. Factor p(i).
2*(i - 1)**2*(i + 1)*(i + 2)
Let g be 8/(-48) - (-3)/(-2)*(-684)/2268. What is h in -2/7*h + 0*h**2 + 1/7*h**4 - 1/7 + g*h**3 = 0?
-1, 1
Suppose 133/8*c**2 - 135/4*c + 17*c**3 + 0 + 1/8*c**4 = 0. What is c?
-135, -2, 0, 1
Factor -723*q**2 - 449 - 252*q**2 + 2853*q - 1452*q**2 + 16 - 18*q**3 + 25.
-3*(q - 1)*(q + 136)*(6*q - 1)
Let z(u) be the second derivative of -u**5/30 - u**4/12 - 33*u**2 - 7*u + 2. Let m(o) be the first derivative of z(o). Factor m(s).
-2*s*(s + 1)
Factor -1/4*y**4 - 181*y**3 - 64427/2*y**2 - 1199025/4 + 198195*y.
-(y - 3)**2*(y + 365)**2/4
Let q = 205 - 196. Factor 29*a - 7*a - 13*a - 3*a**3 - 3 + q.
-3*(a - 2)*(a + 1)**2
Let g(w) be the second derivative of 96*w + 0 + 0*w**2 + 1/15*w**6 + 0*w**3 + 0*w**4 + 1/42*w**7 + 1/20*w**5. Factor g(s).
s**3*(s + 1)**2
Let y(m) = -3*m**4 + 22*m**3 - 15*m**2 - 2*m + 2. Let p(w) = 15*w**2 - 5 + 2*w**4 + 2 - 23*w**3 - w + 4*w. Let j(a) = -2*p(a) - 3*y(a). Factor j(i).
5*i**2*(i - 3)*(i - 1)
Factor 18*t**4 + 88*t**3 + 1764*t + 33*t**5 + 10*t**3 - 1176 + 18*t**5 - 54*t**5 - 858*t**2 + 13*t**3.
-3*(t - 7)*(t - 2)**3*(t + 7)
Let d = 8721591/7 - 1245939. What is o in -80/7*o**2 - d*o**4 - 78/7*o**3 + 0 - 24/7*o = 0?
-3, -2/3, 0
Factor 2/11*j**2 - 494/11*j - 496/11.
2*(j - 248)*(j + 1)/11
Let y(f) be the third derivative of f**5/450 + 599*f**4/180 - 268*f**3/5 - 8544*f**2. Factor y(n).
2*(n - 4)*(n + 603)/15
Suppose 3*m = -4*z + 516, -z - 4*m = -103 - 26. Suppose 3*s + z - 138 = 0. What is k in 3/2*k**s + 1/4*k**4 - 5/4*k - 1/4*k**5 + 1/2*k**2 - 3/4 = 0?
-1, 1, 3
Let n(c) = -66*c - 394. Let y be n(-6). Factor -30*w**3 + 343*w**4 + 322*w**4 + 32*w**5 + 4*w**y + 374*w**4 - 991*w**4.
2*w**2*(w + 2)*(4*w - 1)**2
Let f(g) be the first derivative of g**4/2 + 58*g**3 + 86*g**2 + 4060. Factor f(p).
2*p*(p + 1)*(p + 86)
Let k = -3547/395 - -741/79. What is j in 0*j**2 + 4/5*j**3 + k*j**5 + 0*j + 0 + 6/5*j**4 = 0?
-2, -1, 0
Let 21*u**3 - 59*u - 24*u**5 + 9*u**5 + 24265*u**4 - 24447*u**4 + 576*u**2 + 48 + 173*u + 322*u = 0. Calculate u.
-12, -1, -2/15, 2
Let h = -967360 + 6771607/7. Let h*j - 48/7*j**2 + 3/7*j**3 - 6 = 0. Calculate j.
1, 14
Let b(d) be the second derivative of d**4/27 + 32*d**3/27 + 32*d**2/3 + 437*d - 2. Determine r so that b(r) = 0.
-12, -4
Let j(v) be the first derivative of -1/10*v**6 + 0*v**2 - 12/25*v**5 + 0*v + 0*v**3 - 21 + 3/4*v**4. Let j(d) = 0. What is d?
-5, 0, 1
Let a(o) be the third derivative of o**6/120 + 421*o**5/180 - 47*o**4/12 + 4*o**2. Factor a(z).
z*(z + 141)*(3*z - 2)/3
Let f = -2/199 + 217/1791. Let t = 117/49 + -302/147. Factor -4/9*u + t + f*u**2.
(u - 3)*(u - 1)/9
Suppose 85*d + 1680 = 57*d + 49*d. Let f(x) be the first derivative of -13 + 5/3*x**3 + d*x - 20*x**2. What is a in f(a) = 0?
4
Let r(c) = -13*c**3 - 58*c**2 + 147*c + 2032. Let w(u) = 3*u**3 + 11*u**2 - u - 1. Let t(j) = r(j) + 4*w(j). Let t(g) = 0. What is g?
-13, 12
Let k be ((-69000)/(-210))/(-25) + 32. Factor -18/7*c**2 + k*c - 242/7.
-2*(3*c - 11)**2/7
Solve 19*i**2 + 52*i**2 - 35*i**4 + 82*i**2 - 100*i - 19*i**2 + 15*i**5 + 20 + i**2 - 35*i**3 = 0 for i.
-2, 1/3, 1, 2
Let a(p) be the first derivative of 2*p**6/3 - 4*p**5 - 3*p**4 + 116*p**3/3 + 4*p**2 - 96*p - 1274. Suppose a(x) = 0. Calculate x.
-2, -1, 1, 3, 4
Let b be (2/7)/((-5)/(-70)). Suppose 4*a + g + 13 = 46, -b*a = 2*g - 34. Factor -a + 2 - 11*s**2 + 3*s + 14*s**2.
3*(s - 1)*(s + 2)
Let k be (11552/6)/4 - -3. Let y = -479 + k. Factor -8/3*z + y + 1/3*z**2.
(