u**3 + 8/5.
(u - 4)*(u + 1)**2*(9*u - 2)/5
Suppose 3*l - 12 = 3*j, 4*l = -j + 4*j + 14. Factor 4*u**3 - 4*u + 2 - 939*u**l - 2*u**4 + 1879*u**2 - 940*u**2.
-2*(u - 1)**3*(u + 1)
Let q(c) be the first derivative of -c**7/168 + 19*c**6/36 - 361*c**5/24 - 5*c**3/3 + 19. Let y(p) be the third derivative of q(p). Solve y(m) = 0 for m.
0, 19
Let s = -219 - -225. Let n(v) = v**4 + v**3 - v**2 + v + 1. Let b(p) = 8*p**4 - 10*p**3 - 26*p**2 + 22*p + 24. Let i(q) = s*n(q) - b(q). Factor i(u).
-2*(u - 9)*(u - 1)*(u + 1)**2
Suppose -55*g - 5010 + 5120 = 0. Determine n so that 72/5*n + 648/5 + 2/5*n**g = 0.
-18
Let s be (105 - (-58743)/(-749)) + -25 + 1. Factor -130/7*q - 2/21*q**3 + 338/21 + s*q**2.
-2*(q - 13)**2*(q - 1)/21
Let j be ((-127)/1)/(-18 + 19)*1. Let s = j + 1145/9. Determine k, given that 2/9*k**2 + 0*k + 0 + 0*k**3 - s*k**4 = 0.
-1, 0, 1
Let s(b) = 23*b**3 - b**2 - 23*b - 10. Let x(w) = 2*w**3 - w**2 - 2*w. Let j(h) = -2*s(h) + 22*x(h). What is a in j(a) = 0?
-10, -1, 1
Let o(u) be the second derivative of u**5/210 - 23*u**4/126 - 146*u**3/63 + 8*u**2 - 254*u + 4. Factor o(r).
2*(r - 28)*(r - 1)*(r + 6)/21
Let c = 2638 - 2634. Let o(f) be the third derivative of 3*f**2 - 1/560*f**7 + 0*f + 1/160*f**6 + 0*f**3 + 0 - 1/32*f**c + 1/160*f**5. Factor o(q).
-3*q*(q - 2)*(q - 1)*(q + 1)/8
Factor -16*u**2 - 104*u**2 - 16*u**3 + 76*u + 68*u + u**4 + 432 - u**5 + u**4 + 9*u**4.
-(u - 6)**2*(u - 3)*(u + 2)**2
Let w(y) be the second derivative of y**4/8 + 24*y**3 - 891*y**2/4 - 21*y + 37. Factor w(r).
3*(r - 3)*(r + 99)/2
Let y(u) = -6*u**2 + 6. Let g(m) = -32*m**2 - 2*m + 7. Let d(i) = 15*i**2 + i - 4. Let t(j) = -9*d(j) - 4*g(j). Let l(f) = -3*t(f) + 2*y(f). Factor l(k).
3*(k - 1)*(3*k + 4)
Let u(p) = -2*p**3 - 129*p**2 + 597*p + 1604. Let c(q) = -10*q**3 - 646*q**2 + 2984*q + 8040. Let d(s) = -5*c(s) + 24*u(s). Factor d(b).
2*(b - 6)*(b + 2)*(b + 71)
Let f be (-1551)/3102*(-44)/12*(0 - -1). Suppose -4/3*k - 5/3*k**2 - 1/3*k**4 + 0 + f*k**3 = 0. What is k?
-1/2, 0, 2, 4
Let h(r) be the second derivative of 5/42*r**7 - 15/2*r**3 - 2*r**5 + 15/2*r**4 - 1/3*r**6 + 0*r**2 + 0 + 74*r. Let h(v) = 0. Calculate v.
-3, 0, 1, 3
Let a(o) = -25*o**2 + 12*o - 18. Let w be a(6). Let x = -845 - w. Factor x + 1/2*c - 1/2*c**2.
-(c - 2)*(c + 1)/2
Suppose -1065 = -225*t + 285. Let l(n) be the second derivative of 0*n**4 + 0*n**5 + 17*n + 0*n**2 + 0*n**3 + 1/441*n**7 + 0 - 1/105*n**t. Factor l(f).
2*f**4*(f - 3)/21
Let i = 28289/1820 + -435/28. Let r(s) be the second derivative of 0*s**2 - 1/39*s**3 + 1/39*s**4 + 6*s + 0 - i*s**5. Factor r(f).
-2*f*(f - 1)**2/13
Let v = 19863175874/3465 - 5732518. Let m = v - 2/495. Factor -m*z**3 + 8/7 - 6/7*z**2 + 0*z.
-2*(z - 1)*(z + 2)**2/7
Determine s so that 5060/3*s**4 - 20260/3*s**2 - 844/3*s**5 - 64/3 - 820/3*s**3 - 13600/3*s = 0.
-1, -1/211, 4
Let h = 2 - -3. Suppose 0 = -w - 3*d + 15, 0*w + 3*d + 3 = h*w. Factor -15 - 5*r + 5*r**3 + 0*r + 18*r**2 - w*r**2.
5*(r - 1)*(r + 1)*(r + 3)
Suppose -a + 4*r + 658 = 0, -3*a - r = -0*r - 2026. Suppose -4*x + 20 = -3*h, 4*h - h = -5*x - 2. Factor 21*f**3 - a*f**x - 14*f + 617*f**2 - 4*f.
3*f*(f - 3)*(7*f + 2)
Let a(d) be the first derivative of -1/7*d**6 + 44/35*d**5 - 23/7*d**4 - 36/7*d + 8/21*d**3 + 57/7*d**2 + 170. Suppose a(k) = 0. Calculate k.
-1, 1/3, 2, 3
Let f = -23751 - -23751. Let w = 5 + -5. Factor f*h**2 + w*h + 3/2*h**4 - 3*h**3 + 3/2*h**5 + 0.
3*h**3*(h - 1)*(h + 2)/2
Let p be (4/(-8))/(49/(-42)) + (-75)/(-21). Let 0 - 2/3*o - 1/3*o**2 + 2/3*o**3 + 1/3*o**p = 0. What is o?
-2, -1, 0, 1
Let g be -13 - 4*(-2058)/616. Let a be (-2)/(-2)*(-8)/(-44). Factor g + 2/11*u - a*u**3 - 4/11*u**2.
-2*(u - 1)*(u + 1)*(u + 2)/11
Let u = 1205822/5 - 241164. Solve -4/5*z**4 + 0*z + 0 + 4/5*z**2 - u*z**3 + 2/5*z**5 = 0 for z.
-1, 0, 1, 2
Let j = -520 - -523. Let y(t) = -3*t + 11. Let f be y(j). Find z such that 8/9*z - 2/9*z**4 + 8/9 - 8/9*z**3 - 2/3*z**f = 0.
-2, -1, 1
Let i(g) = -6711*g - 40263. Let b be i(-6). Let d = 2 - 2. Find f such that 3/5*f**4 + 24/5*f**2 + b*f**3 + d + 12/5*f = 0.
-2, -1, 0
Factor -268 - 2*d**3 + 105*d**2 - 466*d + 572*d - 3*d**3 - 332 - 596*d.
-5*(d - 12)*(d - 10)*(d + 1)
Let g = 442 + -420. Let o(k) be the first derivative of 0*k - g + 1/22*k**4 - 2/55*k**5 - 1/11*k**2 + 2/33*k**3. Determine z, given that o(z) = 0.
-1, 0, 1
Let r = 3942/361 - 23291/2166. Determine s, given that 17/6*s - 5/3 + r*s**3 - 4/3*s**2 = 0.
1, 2, 5
Let d(m) be the second derivative of -5*m**7/14 + 21*m**6/5 - 6*m**5 - 88*m**4 + 192*m**3 + 1536*m**2 + 20*m. Suppose d(t) = 0. What is t?
-2, -8/5, 4
Let c = 1581 - 1580. Let z be 7/c + (35 - 32) - 6. Factor 0 + 0*b + 0*b**2 + 0*b**z + 2/13*b**3 - 2/13*b**5.
-2*b**3*(b - 1)*(b + 1)/13
Let p = -158113 - -474443/3. Factor -4/3*f**2 - 676/3 - p*f.
-4*(f + 13)**2/3
Factor -6/7*w**3 + 18/7*w**2 + 0 - 2/7*w**4 - 10/7*w.
-2*w*(w - 1)**2*(w + 5)/7
Determine h so that 2*h**2 - 6445*h - 578668 - 1201*h + 1242*h + 5705070 = 0.
1601
Suppose 2*b = k - 4, -18*k + 16 = -14*k + b. Let o(g) be the second derivative of -1/12*g**5 + 35/18*g**3 - 5/18*g**k - 10/3*g**2 + 0 - 35*g. Factor o(m).
-5*(m - 1)**2*(m + 4)/3
Let s be 7*1 - ((-3304)/448 - (1 + -15)). Let w(f) be the first derivative of 3/2*f + 0*f**2 + 39 - s*f**3 - 3/32*f**4. Factor w(t).
-3*(t - 1)*(t + 2)**2/8
Let 17*p**2 + 16 - 24388*p**3 - 15*p**2 + 20*p + 24386*p**3 = 0. What is p?
-2, -1, 4
Suppose 9*q - 5*q + 4 = 3*j, -4*j + 6 = -5*q. Let w(d) be the third derivative of 0*d**3 + 0*d + 0 - 1/24*d**j - 20*d**2 - 1/60*d**5. Solve w(a) = 0.
-1, 0
Factor 2/13*p**2 + 1072/13 + 276/13*p.
2*(p + 4)*(p + 134)/13
Let f(p) be the first derivative of p**6/14 - 18*p**5/35 - 21*p**4/4 - 10*p**3 + 54*p**2/7 + 264*p/7 + 357. Find i such that f(i) = 0.
-2, 1, 11
Let q(i) be the second derivative of 11*i**5/40 + 43*i**4/24 + 13*i**3/3 + 5*i**2 + 15*i - 7. What is j in q(j) = 0?
-2, -1, -10/11
Solve -144 + 9/5*j**4 - 1752/5*j - 204/5*j**3 + 231*j**2 = 0 for j.
-1/3, 4, 15
Let f(g) be the first derivative of -73/4*g**2 + 37*g - 1/6*g**3 - 122. Factor f(t).
-(t - 1)*(t + 74)/2
Let q(o) be the third derivative of -o**6/60 - 3*o**5/5 + 217*o**4/12 + 78*o**3 + 2323*o**2. Find u such that q(u) = 0.
-26, -1, 9
Factor 0*z**3 - 4394*z**2 - 5*z**3 + 5519*z**2.
-5*z**2*(z - 225)
Let h(s) be the third derivative of s**6/80 - 11*s**5/40 + 17*s**4/8 - 6*s**3 - 2*s**2 - 1143. Solve h(l) = 0.
1, 4, 6
Let g = -153 - -92. Let h = g + 64. What is z in 46*z**4 - 13*z**2 + 54*z**5 - 3*z**2 - 14*z**5 + 8*z - 78*z**h = 0?
-2, -2/5, 0, 1/4, 1
Let n(k) = k**2 - 3*k - 7. Let h be n(-4). Let l = 24 - h. Let 3*c**4 - 39*c + 0*c**4 - 9*c**2 - 6 - l*c**3 + 54*c = 0. Calculate c.
-2, 1
Factor 6*h**3 + 6472*h**4 - 27*h**3 - 3241*h**4 - 3*h**5 - 3216*h**4 + 9*h**2.
-3*h**2*(h - 3)*(h - 1)**2
Suppose 7*y = -2*b + 3*y + 204, 196 = 2*b - 4*y. Let v be (b/(-7))/((16/28)/(-2)). Factor 6*h**4 + 32*h + 2*h**5 + 8 + v*h**2 - 13*h**4 + 21*h**4 + 38*h**3.
2*(h + 1)**3*(h + 2)**2
Let w(d) be the second derivative of -d**5/160 + 13*d**4/96 + 19*d**3/24 - 15*d**2/2 - 5*d - 161. Factor w(b).
-(b - 15)*(b - 2)*(b + 4)/8
Let x = -512875/1677 + -5/1118. Let w = x - -306. Let -1/2*k - 1/3 + 0*k**2 + w*k**3 = 0. Calculate k.
-1, 2
Let g be -18 - (273/21 + -34). Factor 1/2*c**5 - 121/2*c**2 + 21/2*c**4 + 99/2*c**g + 0*c + 0.
c**2*(c - 1)*(c + 11)**2/2
Let u(g) = 70*g**4 + 644*g**3 + 2454*g**2 + 4112*g + 2432. Let x(k) = 23*k**4 + 214*k**3 + 818*k**2 + 1370*k + 810. Let j(t) = -5*u(t) + 16*x(t). Factor j(o).
2*(o + 4)**2*(3*o + 5)**2
Let w(g) be the third derivative of g**6/60 - 433*g**5/30 + 15257*g**4/4 + 79935*g**3 - 8227*g**2 - 2. Suppose w(n) = 0. Calculate n.
-5, 219
Let b(m) be the third derivative of m**5/180 - 335*m**4/72 + 167*m**3/9 + 1570*m**2 + 2. Determine i, given that b(i) = 0.
1, 334
What is w in 1/9*w**4 + 0 - 172/9*w**2 + 0*w - 13/3*w**3 = 0?
-4, 0, 43
Let m = 271321/3 - 90439. Determine o so that -64/3*o**2 - 8/3*o**3 + m*o**5 + 32/3 + 4/3*o + 32/3*o**4 = 0.
-8, -1, 1
Let q(a) = 3*a**2 - 914*a + 3610. Let r be q(4). Factor 2*p - 1/3*p**r - 1/3*p**3 + 0.
-p*(p - 2)*(p + 3)/3
Let p(c) be the second derivative of -2*c + 121/45*c**5 + 81*c**2 - 13*c**4 - 29 - 1/5*c**6 + 1/189*c**7 - 9*c**3. Determine g so that p(g) = 0.
-1, 1, 9
Let r(o) be the sec