13/6*r**3.
-(r - 4)**2*(r - 3)*(r - 2)/6
Let z(o) be the third derivative of 0 - 1/140*o**5 - 5/14*o**4 + 12*o + o**2 + 0*o**3. Factor z(a).
-3*a*(a + 20)/7
Let j(z) be the third derivative of -3*z**5/40 + 773*z**4/16 + 129*z**3/2 - z**2 + 279. What is o in j(o) = 0?
-1/3, 258
Let i(w) be the second derivative of w**5/5 - 77*w**4/3 - 56*w**3 + 936*w**2 - 6*w - 672. Let i(f) = 0. Calculate f.
-3, 2, 78
Let z be (-6 - 18/(-6))*(-1 - 0). Factor 4*c**4 + 25*c**2 - 20*c**z - 10*c**4 + c**4.
-5*c**2*(c - 1)*(c + 5)
Let v = -2194/9 - -4403/18. Let z(p) be the third derivative of 0*p + 1/30*p**6 - 1/15*p**5 - 2*p**3 - v*p**4 + 0 - 12*p**2. Solve z(w) = 0 for w.
-1, 3
Let r be (-95)/(-1805) + 4892/(-532) + 1*10. What is u in -r - 33/7*u - 15/7*u**2 = 0?
-2, -1/5
Factor -33 - 165/7*a**2 + 384/7*a + 12/7*a**3.
3*(a - 11)*(a - 1)*(4*a - 7)/7
Let t(m) be the second derivative of m**6/1080 - m**5/30 + 3*m**4/8 + 29*m**3/6 + 4*m. Let u(q) be the second derivative of t(q). Let u(n) = 0. What is n?
3, 9
Let w = -2905 - -2910. Let l(d) be the third derivative of d**3 + 5/8*d**4 + 12*d**2 + 1/40*d**6 + 0 + 0*d + 1/5*d**w. Let l(u) = 0. What is u?
-2, -1
Let h(c) be the third derivative of -c**7/350 - 3*c**6/100 + 3*c**5/25 + 19*c**4/20 + 21*c**3/10 - 3*c**2 - 2*c - 372. Solve h(q) = 0.
-7, -1, 3
Let h(b) be the third derivative of -b**5/240 + 17*b**4/8 - 52*b**2. Solve h(a) = 0.
0, 204
Let f be (2131500/14850)/290 - ((-3)/(-11))/1. Find p, given that 8/9*p + 0 - 2/3*p**3 + 0*p**2 + f*p**4 = 0.
-1, 0, 2
What is n in 32/13*n**2 + 0 + 2/13*n**3 + 96/13*n = 0?
-12, -4, 0
Let g(v) = 89*v**2 - 2632*v. Let p(j) = -21*j**2 - 2*j. Let y(r) = -g(r) - 4*p(r). Find m, given that y(m) = 0.
0, 528
Let w = -32 - -53. What is d in w*d**2 + 6 - 27*d**2 + 9*d**3 + 4*d - 13*d = 0?
-1, 2/3, 1
Suppose -3*y = -2*z + 20, -7*z + 2*y = -3*z - 40. Suppose -13*t + z + 29 = 0. Let 0 + 1/3*s**t + 2/3*s - s**2 = 0. What is s?
0, 1, 2
Let h(t) be the second derivative of t**7/105 - t**6/75 - 9*t**5/50 - 11*t**4/30 - 4*t**3/15 - 2131*t. Find b, given that h(b) = 0.
-1, 0, 4
Let z = 4390 - 4385. Let s(k) be the first derivative of z*k**2 - 5*k - 20 - 5/3*k**3. Factor s(w).
-5*(w - 1)**2
Let b(k) = -k**3 - 167*k**2 + 2228*k - 6014. Let a(s) = -s**3 - 83*s**2 + 1112*s - 3006. Let q(f) = 7*a(f) - 3*b(f). Let q(v) = 0. What is v?
-30, 5
Let g = -1077383 - -1077385. Factor g*o**2 + 12/7*o + 0 - 10/7*o**3.
-2*o*(o - 2)*(5*o + 3)/7
Let x(y) = 3*y**3 - 17*y**2 - 10*y + 31. Let n be x(6). Let f(b) be the first derivative of -n + 0*b - 4/3*b**3 + 6*b**2. Determine s so that f(s) = 0.
0, 3
Let k = -200 + -43. Let p = -241 - k. Suppose -4/3*h**5 + 8/3*h**4 + 8/3*h**3 - 16/3*h**p - 4/3*h + 8/3 = 0. What is h?
-1, 1, 2
Factor -39*q**2 + 99*q + 81*q - 7*q**2 + 2*q**3 + 95 - 175 - 56*q.
2*(q - 20)*(q - 2)*(q - 1)
Let l(q) be the third derivative of -q**5/12 + 275*q**4/12 - 1060*q**3/3 - 35*q**2 - 6*q. Factor l(u).
-5*(u - 106)*(u - 4)
Let g(v) be the second derivative of -2 - 129*v - 1/5*v**5 - 7/3*v**4 + 0*v**3 + 0*v**2. Find k such that g(k) = 0.
-7, 0
Let y be (-39 - 75990/(-1950))*-65. Find i such that 4*i**4 - 92/7*i**y + 44/7*i**3 - 4/7*i**5 - 40/7*i + 64/7 = 0.
-2, -1, 1, 8
Let i(g) be the third derivative of 0*g**4 + 0*g**3 + 2*g + 0 + 4/45*g**6 + 1/2520*g**8 + 170*g**2 - 17/1575*g**7 - 32/225*g**5. Factor i(j).
2*j**2*(j - 8)**2*(j - 1)/15
Let j(h) = h. Let w(n) = 5*n**2 + 72*n. Let i be (-7)/(-28)*-4*1. Let u(a) = i*w(a) + 2*j(a). Find m such that u(m) = 0.
-14, 0
Factor 7*s**2 - 157 + 0*s**2 + s**3 + 49*s - 21*s**2 + 157.
s*(s - 7)**2
Solve -10622*m**3 + 0*m**4 + m**4 + 10604*m**3 = 0 for m.
0, 18
Let q(m) = -16*m**3 + 117*m**2 + 580*m + 513. Let h(o) = 15*o**3 - 115*o**2 - 580*o - 510. Let r(k) = 11*h(k) + 10*q(k). Determine y so that r(y) = 0.
-4, -1, 24
Let x(g) be the third derivative of -g**8/672 - 4*g**7/105 + 11*g**6/48 - 19*g**5/60 - 25*g**2 - 11*g. Suppose x(r) = 0. What is r?
-19, 0, 1, 2
Let a(c) = c**3 + 96*c**2 - 30*c + 3. Let t be a(0). Determine d so that 54*d + 3/2*d**4 + 24 + 42*d**2 + 27/2*d**t = 0.
-4, -2, -1
Let d be (2 - (-21)/30)*54/486. Let r(j) be the second derivative of 0 + 9/100*j**5 - 12*j - d*j**3 + 1/30*j**4 - 1/5*j**2. Factor r(s).
(s - 1)*(s + 1)*(9*s + 2)/5
Factor 25/2*a**4 - 165/4*a**3 - 5/4*a**5 + 0 + 50*a**2 - 20*a.
-5*a*(a - 4)**2*(a - 1)**2/4
Let y = 51168 + -51165. Suppose 2/5*p**2 - 1/5*p**y + 0 + 0*p - 1/5*p**4 = 0. What is p?
-2, 0, 1
Let q(a) be the second derivative of 2/15*a**3 + 7*a - 1/50*a**5 - 1/10*a**4 + 9 - 1/105*a**7 + 1/25*a**6 + 0*a**2. Let q(c) = 0. What is c?
-1, 0, 1, 2
Let i(v) be the third derivative of 1/120*v**4 + 153*v**2 - 7/300*v**5 + 7/30*v**3 - 1/600*v**6 + 0 + 0*v. Find x, given that i(x) = 0.
-7, -1, 1
Factor -175/4*w - 1/12*w**2 - 131/3.
-(w + 1)*(w + 524)/12
Let r(j) = j**3 - 4*j**2 + 3*j + 3. Let v be r(3). Let n be (-7 + v)/(((-12)/26)/3). Factor -8*y**3 + 2 + n*y - 2 - 6*y**2 + 10*y + 2*y**4.
2*y*(y - 3)**2*(y + 2)
Let y(z) be the third derivative of -1/102*z**5 + 10*z + 0 - 1/1785*z**7 - 1/255*z**6 + 0*z**3 + 5*z**2 - 1/102*z**4. Factor y(c).
-2*c*(c + 1)**2*(c + 2)/17
Factor 404*q**3 + 10*q**4 + 211*q + 802*q**2 + 167*q - 8*q**4 + 22*q.
2*q*(q + 1)**2*(q + 200)
Let r(a) be the first derivative of -3*a**4/8 + 36*a**3 - 627*a**2/4 + 207*a + 2426. Determine i, given that r(i) = 0.
1, 2, 69
Suppose -q + 1 = -3*l, -3*l - 11 = -2*q - 3. Factor 119 - 17*y**2 + q*y - 22*y - 29 + 5*y**3 - 3*y**2.
5*(y - 3)**2*(y + 2)
Let h(l) be the first derivative of 2*l**7/105 + l**6/6 + l**5/5 - 3*l**4/2 + 39*l**2/2 + 13. Let b(n) be the second derivative of h(n). Solve b(y) = 0.
-3, 0, 1
Let u be ((-36)/45)/(1/315*-3). What is w in 3*w**2 - 32*w - 3*w**2 + 88 + 4*w**2 + u*w = 0?
-11, -2
Determine u, given that u**4 - 5*u**3 + 77*u**3 - 75*u**3 + 8*u - 6*u**2 = 0.
-2, 0, 1, 4
Let i(r) = 2*r**2 - 240*r + 720. Let v(w) = w**2 - 60*w + 180. Let z be -8 + (-414)/(-24) - 1/4. Let q(s) = z*v(s) - 2*i(s). Factor q(x).
5*(x - 6)**2
Suppose -8*b - 9*b = -306. Factor 46*q**4 - 15*q**2 - 40*q - 3*q**3 + 13*q**3 - 23*q**4 - b*q**4 - 20.
5*(q - 2)*(q + 1)**2*(q + 2)
Let -3250/3*x**2 - 800/3 - 2960/3*x - 580/3*x**3 - 15/2*x**5 + 325/2*x**4 = 0. What is x?
-1, -2/3, 4, 20
Let q(c) be the third derivative of -1/40*c**5 - 61/48*c**4 + 1 + 0*c - 70*c**2 + 7/2*c**3. Factor q(f).
-(f + 21)*(3*f - 2)/2
Let d(t) = 4*t**3 - 5*t**2 + 5*t - 4. Let j be d(1). Factor -2*z + 2/3*z**3 - 4/3*z**2 + j.
2*z*(z - 3)*(z + 1)/3
Suppose -3/8*q**3 + 79707/8 - 975/8*q**2 - 78729/8*q = 0. Calculate q.
-163, 1
Suppose -5*u + 10*u + 3*o + 497 = 0, -2*u = -4*o + 204. Let y = u + 501/5. Factor 0*k**3 + 2/5*k**4 - 1/5*k**5 - 2/5*k**2 + 0 + y*k.
-k*(k - 1)**3*(k + 1)/5
Determine g so that 3/2*g**3 - 99 - 102*g**2 + 399/2*g = 0.
1, 66
Let x(h) = 735*h**3 - 3010*h**2 - 3015*h - 675. Let f(d) = -245*d**3 + 1005*d**2 + 1005*d + 225. Let q(p) = -7*f(p) - 2*x(p). What is t in q(t) = 0?
-3/7, 5
Let v(l) be the first derivative of 4*l**3/3 - 1756*l**2 + 770884*l + 2325. Factor v(m).
4*(m - 439)**2
Let o(n) be the third derivative of -n**5/180 - 3*n**4/8 - 25*n**3/9 + 194*n**2 - 2*n. Factor o(a).
-(a + 2)*(a + 25)/3
Let s be (48/(-45)*78/52)/(4/(-10)). Let d(t) be the first derivative of 0*t - 25/14*t**s - 1/21*t**6 + 4/7*t**5 + 36 + 0*t**2 + 0*t**3. What is j in d(j) = 0?
0, 5
Find u such that -248/7*u - 1/7*u**2 + 0 = 0.
-248, 0
Let o(d) = -10*d - 298. Let m be o(-30). Factor 2*q**3 - 8*q**m - 60 - 12*q**2 + 565*q - 503*q.
2*(q - 5)*(q - 3)*(q - 2)
Let f(q) = 2*q - 4. Let y be f(5). Suppose -4*t + y*t = 4. Factor -p - 4*p**3 + 5*p**4 - 10*p**t + p + 9*p**3.
5*p**2*(p - 1)*(p + 2)
Find f such that -4/5 - 192/5*f**2 - 196/5*f = 0.
-1, -1/48
Let z = 49944/87451 - -4/12493. Factor -4*k**2 + 72/7 - 60/7*k + 12/7*k**3 + z*k**4.
4*(k - 2)*(k - 1)*(k + 3)**2/7
Let m(b) be the first derivative of -b**5/15 + 3*b**4/4 + 34*b**3/9 + 4*b**2 + 802. Let m(j) = 0. Calculate j.
-2, -1, 0, 12
Let t(m) = 2*m**3 + 4*m**2 + 7*m + 7. Let d be -4 - (-7 - (-32)/8). Let k be t(d). Factor 0 + 1/2*n**3 + 1/4*n**k + 1/4*n**4 + 0*n.
n**2*(n + 1)**2/4
Let i = -558615 + 558617. Factor -2*x + 1/2*x**i + 0.
x*(x - 4)/2
Suppose 20*c + 3379 = 3859. Let g(k) be the first derivative of c*k**2 + 15*k**4 - 8*k - 14/5*k**5 + 17 - 86