 q?
-3, -1, 6
Let x = -6364 + 120924/19. Let z be 63/57 - (-2 + 3). Factor -8/19*g - z - x*g**2.
-2*(2*g + 1)**2/19
Let o(w) be the third derivative of -w**9/151200 + w**8/8400 - 4*w**6/225 + w**5/6 + w**3/6 - 124*w**2. Let z(d) be the third derivative of o(d). Factor z(m).
-2*(m - 4)**2*(m + 2)/5
Let k be (-153)/3315*650/(-75). Factor 8/15*h**2 + 0 + 2/15*h**5 - k*h**3 + 8/15*h - 4/15*h**4.
2*h*(h - 2)**2*(h + 1)**2/15
Let -4/5*l**5 - 132*l**4 - 1948/5*l**3 + 1296/5 + 1952/5*l - 636/5*l**2 = 0. Calculate l.
-162, -2, -1, 1
Let y(d) be the second derivative of -d**7/210 - d**6/24 - d**5/10 + 27*d**2/2 - 2*d - 8. Let w(h) be the first derivative of y(h). Factor w(i).
-i**2*(i + 2)*(i + 3)
Factor -1326697*y + 1326683*y - 4 + 40 - 2*y**2.
-2*(y - 2)*(y + 9)
Let t = -2901349/8 + 362669. Suppose 15/4 + 21/8*u + t*u**2 = 0. Calculate u.
-5, -2
Let s(o) = -9903*o + 89129. Let m be s(9). Determine l so that -2/3*l**4 + 0 + 6*l**3 - 50/3*l - 10*l**m = 0.
-1, 0, 5
Let x = -12677 + 12683. Let y(z) be the second derivative of -2/75*z**x - 1/105*z**7 + 28*z + 1/15*z**3 + 0*z**5 + 0*z**2 + 1/15*z**4 + 0. Factor y(p).
-2*p*(p - 1)*(p + 1)**3/5
Let r(d) be the third derivative of d**6/160 - 1491*d**5/80 + 2979*d**4/32 - 1489*d**3/8 - 13*d**2 - 2*d - 77. Determine n so that r(n) = 0.
1, 1489
Let b be 50/12 + 1/(-6). Suppose 16*x - 23*x = -14. Factor 2*v - b*v**3 + 23 + 20*v - 4*v**x - 7 - 6*v.
-4*(v - 2)*(v + 1)*(v + 2)
Let h be 13 - (-8)/((-768)/1238). Let u(g) be the second derivative of 1/80*g**5 + 0 + 15*g + 7/24*g**3 - 3/8*g**2 - h*g**4. Factor u(w).
(w - 3)*(w - 1)**2/4
Suppose -4*i - 5*q = 689, 4*i + 509 = -3*q - 178. Let y = i - -175. Factor 2/9*b + 2/9*b**y + 2/3*b**2 + 0 + 2/3*b**3.
2*b*(b + 1)**3/9
Factor 3*t**4 + 2817*t**2 - 597*t**2 + 46271*t**3 - 45155*t**3.
3*t**2*(t + 2)*(t + 370)
Let q(o) be the second derivative of 6 - 3/140*o**5 - o**4 - 53/14*o**3 - 39/7*o**2 + 4*o. Solve q(v) = 0 for v.
-26, -1
Let a(y) be the second derivative of 1/18*y**3 + 1/135*y**6 - 108*y + 0 - 1/60*y**5 - 1/18*y**2 - 1/108*y**4. Suppose a(i) = 0. What is i?
-1, 1/2, 1
Let a(v) be the first derivative of -5*v**3/3 - 2150*v**2 - 924500*v - 2458. Let a(f) = 0. Calculate f.
-430
Let r be (-14)/(-49) - (-216)/(-630)*-5. Suppose -70*x**r + 2/3*x**3 - 85750/3 + 2450*x = 0. What is x?
35
Let v(y) = 15*y + 348. Let c be v(0). What is t in 20 - 119*t**2 + c*t**2 - 18*t - 112*t**2 - 119*t**2 = 0?
-10, 1
Factor 128 + 0*o**2 - 62 - 66 + 2*o**3 - 4*o**2 + 2*o**4.
2*o**2*(o - 1)*(o + 2)
Let u(h) be the third derivative of -h**5/60 + h**4/6 + 7*h**3/2 - h**2 + 975. Factor u(b).
-(b - 7)*(b + 3)
Factor 176*d - 354 + 1/2*d**2.
(d - 2)*(d + 354)/2
Let h(k) be the third derivative of 42 + 0*k - 79/270*k**5 + 2*k**2 + 1/540*k**6 + 380/27*k**4 + 1600/27*k**3. Suppose h(w) = 0. What is w?
-1, 40
Let o(p) be the first derivative of -3*p**5/40 + 21*p**4/16 - 69*p**3/8 + 105*p**2/4 - 75*p/2 - 699. Factor o(m).
-3*(m - 5)**2*(m - 2)**2/8
Suppose -1 = 2*c - 3*j - 2, -4*c + 5 = -3*j. Suppose 0 = -2*v - 2*n + 16, 0*n = 3*v - n - 20. Factor -h - 1 - 5*h + 2*h**c - v + 0.
2*(h - 4)*(h + 1)
Let z(a) = -47*a - 236. Let i be z(-5). Let r(m) = -30*m**3 + 135*m**2 - 234*m - 75. Let w(x) = -x**3 + x**2 + 2*x. Let k(g) = i*r(g) + 18*w(g). Factor k(j).
3*(j - 5)**2*(4*j + 1)
Determine p, given that -338 + 70*p**3 + p**5 + 158*p**4 - 97*p**4 + 793*p - 548*p**2 - 39*p**4 = 0.
-13, 1, 2
Factor 184*y**3 - 18*y**5 - 477 - 360*y**2 + 324*y + 22*y**5 - 44*y**4 + 369.
4*(y - 3)**3*(y - 1)**2
Let c be (-3)/((-15)/(-4))*4750/(-100). Solve -3 + 4*x**2 + 40*x + 43 + 82 - c = 0.
-7, -3
Let a(v) be the third derivative of v**6/480 + 389*v**5/240 - 65*v**4/16 - 8770*v**2. Factor a(g).
g*(g - 1)*(g + 390)/4
Let f(z) = -2*z**2 - 360*z - 226. Let y(u) = -u**2 - 144*u - 88. Let g(i) = 5*f(i) - 12*y(i). Factor g(t).
2*(t - 37)*(t + 1)
Let v = -21523 - -21526. Let k(x) be the first derivative of x**4 + 286*x**2 + 484*x + 92/3*x**v + 17. Find p, given that k(p) = 0.
-11, -1
Let 2/7*w**4 + 152/7*w**3 - 152/7*w - 314/7*w**2 + 312/7 = 0. Calculate w.
-78, -1, 1, 2
Factor -836*d**3 + 36*d + 3*d**5 - 136*d**2 + 809*d**3 + 124*d**2.
3*d*(d - 3)*(d - 1)*(d + 2)**2
Let k be 1236/2781 + 1*(-50)/(-18) + 1. Factor 0 - k*n - 2/9*n**2.
-2*n*(n + 19)/9
Let v = -6588412/3 - -2196158. Find t such that -2/3*t**2 - 20*t + v = 0.
-31, 1
Suppose -2544 = -9*q - 924. Suppose 2*o + q = 184. Factor 0*n**o + 0 + 0*n - 2/11*n**4 + 4/11*n**3.
-2*n**3*(n - 2)/11
Let n(r) = 12*r**3 + 14*r**2 + 30. Let i(u) = -5*u**3 - 7*u**2 - 12. Let d(t) = 5*i(t) + 2*n(t). Factor d(g).
-g**2*(g + 7)
What is q in 12*q + 10615*q**4 - 15*q**5 + 3*q**3 - 5371*q**4 - 5307*q**4 + 63*q**2 = 0?
-4, -1, -1/5, 0, 1
Let q(u) = u**3 - 8*u**2 - u + 11. Let j be q(8). Suppose s + 0*s = -j*d - 12, 3*s - 5*d = 34. Factor -34*b**2 + 8 - 12*b**3 - s - 22*b - 2 - 7.
-2*(b + 2)*(2*b + 1)*(3*b + 1)
Let l(s) be the second derivative of s**6/40 + 3*s**5/80 - 3*s**4/16 - s**3/8 + 3*s**2/4 - 173*s. Find j such that l(j) = 0.
-2, -1, 1
Let n(i) = 11*i**2 - 245*i - 32. Let h be n(15). Let x be -32*11/h*12. Factor -2/7*w**2 - 16/7*w + x + 2/7*w**3.
2*(w - 2)**2*(w + 3)/7
Let z(p) be the second derivative of 0 + 2*p**4 - 2*p**2 + 125*p + 10/3*p**3. Suppose z(f) = 0. What is f?
-1, 1/6
Suppose 8532*u**2 - 644/3*u**3 + 0 + 8748*u + 4/3*u**4 = 0. What is u?
-1, 0, 81
Find d such that 160/9*d + 4/9*d**4 + 40/9*d**3 + 44/3*d**2 + 64/9 = 0.
-4, -1
Let z be 3 - (-395)/(-120) - 63/(-189). Let r(f) be the first derivative of -22 + 1/3*f + 1/30*f**5 - 1/6*f**3 - z*f**4 + 1/12*f**2. Factor r(d).
(d - 2)*(d - 1)*(d + 1)**2/6
Let r = 13932 + -13930. Let p(x) be the third derivative of 0*x**6 + 0*x**3 + 1/3*x**4 + 0*x - 2/105*x**7 + 0 + 17*x**r + 1/5*x**5. Find u such that p(u) = 0.
-1, 0, 2
Let b(y) be the second derivative of 0*y**3 - 1/150*y**6 + 0*y**4 - y - 1/100*y**5 + 34 + 0*y**2. Determine x so that b(x) = 0.
-1, 0
Let v = 78097/2 - 39048. Suppose -1 + 1/2*i**2 - v*i = 0. Calculate i.
-1, 2
Suppose 5*z - 30 = 2*h + 30, 5*h = -z - 15. Factor -10*j**4 + 7*j**3 + 9*j**4 + z*j**2 + 2*j**4.
j**2*(j + 2)*(j + 5)
Let n(o) be the second derivative of o**5/90 + 19*o**4/54 + 8*o**3/9 - 80*o**2 - 2*o - 783. Determine c so that n(c) = 0.
-12, 5
Let r be -108*(-2)/(-3)*5/(-10). Suppose -58 - r*q**2 + 240*q**3 - 85*q - q**4 + 39*q**2 - 211*q**3 = 0. Calculate q.
-1, 2, 29
Let r(y) be the first derivative of -y**3/21 - 97*y**2/14 + 198*y/7 - 1158. Factor r(o).
-(o - 2)*(o + 99)/7
Let t(y) be the second derivative of y**6/30 - 2*y**5/5 - 31*y**4/12 - 11*y**3/3 + 531*y. Factor t(r).
r*(r - 11)*(r + 1)*(r + 2)
Let m(n) = n**2 - n + 9. Let w(z) = 2*z**2 + 458*z + 12978. Let l(v) = 2*m(v) + w(v). Factor l(c).
4*(c + 57)**2
Let j(a) be the third derivative of -3/8*a**3 - 4 + 1/48*a**5 - 1/480*a**6 - 1/32*a**4 - 2*a**2 + 0*a. Factor j(n).
-(n - 3)**2*(n + 1)/4
Let f(d) be the third derivative of d**5/190 - 505*d**4/228 + 56*d**3/19 + 743*d**2 + d. Determine x so that f(x) = 0.
1/3, 168
Let u(q) = -10*q**3 + 56*q**2 + 93*q + 35. Let s be u(7). Factor -1/6*m**4 - 11/3*m**2 + s + 0*m + 13/6*m**3.
-m**2*(m - 11)*(m - 2)/6
Let d(y) be the third derivative of -1/210*y**5 + 33*y**2 + 20/21*y**3 + 19/84*y**4 + 0*y + 0. Factor d(r).
-2*(r - 20)*(r + 1)/7
Let r = 240 - 243. Let m be 1/((-125)/(-75)*r/(-10)). Factor 0*d**m + 0 + 4/7*d**3 + 0*d.
4*d**3/7
Solve -18/7*u**4 - 224 - 2808/7*u**2 - 478/7*u**3 + 696*u = 0 for u.
-14, 4/9, 1
Let g = -87837/40 - -2196. Let q(v) be the third derivative of 0 + 3*v**2 + 1/2*v**4 + 0*v + 2*v**3 - g*v**6 - 1/4*v**5. What is d in q(d) = 0?
-2, -2/3, 1
Suppose 106*h**3 + 2731 - 3288*h**2 - h**4 + 5*h**4 + 122*h**3 - 52*h**3 + 14672*h - 14295 = 0. What is h?
-59, 1, 7
Let l(b) be the first derivative of -b**4/20 - 23*b**3/15 + 478. Factor l(u).
-u**2*(u + 23)/5
Let h be 1474/14 + 3/(-63)*6. Let x = 105 - h. Factor 10*z + 5*z**3 + x*z**3 + 34*z**2 + 10*z - 14*z**2.
5*z*(z + 2)**2
Let j(t) = 6*t**4 + 60*t**3 + 472*t**2 + 1148*t. Let h(g) = -g**4 - g**3 - 4*g**2 + g. Let i(w) = 4*h(w) + j(w). Suppose i(p) = 0. Calculate p.
-16, -6, 0
Let r(d) be the first derivative of d**2 - 9*d + 6. Let f be r(8). Factor -15*l + l**3 + f - 4*l**2 + 11*l**3 + 3*l**5 - 12*l**4 - 1 + 10*l**2.
3*(l - 2)*(l - 1)**3*(l + 1