 Let f = -796 + l. Factor -9/5*g**f + 0 + 0*g**3 + 6/5*g + 3/5*g**4.
3*g*(g - 1)**2*(g + 2)/5
Let l(w) be the second derivative of -w**7/336 + 79*w**6/240 - 719*w**5/80 - 2399*w**4/48 - 4961*w**3/48 - 1681*w**2/16 + w - 108. Factor l(g).
-(g - 41)**2*(g + 1)**3/8
Suppose 5*d - 2*v - 656 = 0, 2*v + 19 = 23. Suppose -2*j = -2*z + 56, -5*z - 30*j = -33*j - d. Let -8 + 24*t + 10*t**3 - z*t**2 - 3/2*t**4 = 0. What is t?
2/3, 2
Let c(h) be the second derivative of -1 + 5/12*h**4 + 4805/2*h**2 - 155/3*h**3 + 50*h. Let c(n) = 0. Calculate n.
31
Let f(y) be the first derivative of -y**3 + 345*y**2 + 693*y + 3031. Suppose f(q) = 0. What is q?
-1, 231
Let z(m) be the third derivative of -m**6/720 + 7*m**5/18 + m**4/144 - 35*m**3/9 - m**2 - 26*m - 7. Factor z(a).
-(a - 140)*(a - 1)*(a + 1)/6
Let k(p) = 14*p**2 - 35*p - 35. Let n be k(4). Let s(o) be the first derivative of 2*o**2 - o**4 - 40/3*o**3 - n + 40*o. Factor s(r).
-4*(r - 1)*(r + 1)*(r + 10)
Let z(w) be the first derivative of 1/24*w**4 + 0*w - 4/9*w**3 - 23 + 7/12*w**2. Solve z(v) = 0.
0, 1, 7
Let z(v) be the second derivative of -2*v**6/75 - 89*v**5/100 + 23*v**4/20 + 900*v. Suppose z(q) = 0. What is q?
-23, 0, 3/4
Let w be 14 + 15/5 + -2. Factor 130*y + 132*y - w - 382*y + 5*y**2 + 130*y.
5*(y - 1)*(y + 3)
Suppose -q - 811*k + 812*k - 1 = 0, -q = 3*k - 15. Factor -3/5*l**4 + 0*l + 96/5*l**q + 0*l**2 + 0.
-3*l**3*(l - 32)/5
Let d(t) be the first derivative of t**5 - 30*t**4 - 1015*t**3/3 - 1065*t**2 - 1240*t + 1336. Find k such that d(k) = 0.
-4, -2, -1, 31
Let m(s) be the second derivative of s**7/630 - 13*s**6/180 - 7*s**5/15 - 137*s**4/12 - 29*s. Let t(w) be the third derivative of m(w). Factor t(j).
4*(j - 14)*(j + 1)
Let o(q) be the second derivative of 0*q**2 + 0*q**6 + 80*q - 1/273*q**7 + 0*q**4 - 16/39*q**3 + 0 + 4/65*q**5. Find k such that o(k) = 0.
-2, 0, 2
Let y(q) be the first derivative of 4*q**3/15 + 196*q**2/5 + 1504*q/5 - 1819. Determine i, given that y(i) = 0.
-94, -4
Let y(o) = 42*o**4 + 60*o**3 - 13*o**2 - 21*o. Let w(t) = -41*t**4 - 60*t**3 + 14*t**2 + 18*t. Let b(i) = 7*w(i) + 6*y(i). Factor b(v).
-5*v**2*(v + 2)*(7*v - 2)
Let v(p) be the second derivative of -p**4/20 + 61*p**3/10 + p - 211. Factor v(h).
-3*h*(h - 61)/5
Let k(q) be the first derivative of -2*q**5/25 - 21*q**4/5 + 88*q**3/15 + 42*q**2/5 - 86*q/5 - 3495. Find c such that k(c) = 0.
-43, -1, 1
Let c(r) be the third derivative of -r**5/420 - 125*r**4/84 + 251*r**3/42 - 3*r**2 - 222. Determine l so that c(l) = 0.
-251, 1
Suppose -m + 5*q + 53 = 0, 78*q = -5*m + 75*q - 15. Solve 3/4*z**4 - 3*z**2 - 3/8*z**5 - 3/4 + 3/4*z**m + 21/8*z = 0 for z.
-2, 1
Let i(h) = -h**2 + 6*h + 6. Let s(l) = l**2 - 9*l - 7. Let o(y) = 3*i(y) + 2*s(y). Factor o(k).
-(k - 2)*(k + 2)
Let h = 274744/7 - 39248. Let a(r) be the first derivative of 6/7*r**2 - h*r**3 - 3/7*r**4 + 18/7*r - 52 + 6/35*r**5. Find t, given that a(t) = 0.
-1, 1, 3
Let b(r) = 71*r + 1283. Let h be b(-18). Factor -2/3*l**2 - 2/3*l + 6*l**3 + 8/3*l**h + 0 - 22/3*l**4.
2*l*(l - 1)**3*(4*l + 1)/3
Solve 5/3*t**5 + 7/3*t**2 - 8/3 + 1/3*t**4 - 19/3*t**3 + 14/3*t = 0.
-2, -1, 4/5, 1
Let x = -711527 + 711539. Solve 2*p**2 - x + 298/5*p = 0 for p.
-30, 1/5
Factor 49 + 707/2*f + 15/2*f**3 - 104*f**2.
(f - 7)**2*(15*f + 2)/2
Let c(i) be the second derivative of -i**5/50 + 34*i**4/15 - 1508*i**3/15 + 10816*i**2/5 + 2167*i - 1. Factor c(b).
-2*(b - 26)**2*(b - 16)/5
Let i(u) be the second derivative of -7*u**5/10 + 9*u**4/2 + 130*u**3 + 400*u**2 + 470*u. Let i(y) = 0. Calculate y.
-5, -8/7, 10
Let s(d) be the first derivative of -15*d**4/14 - 169*d**3/7 + 51*d**2/14 + 60. Factor s(v).
-3*v*(v + 17)*(10*v - 1)/7
Let z(d) be the third derivative of -d**5/60 + d**4/4 + 80*d**3/3 - 3*d**2 - 42*d. Let z(q) = 0. Calculate q.
-10, 16
Suppose 4*d - 268 = -0*d. Let d*m**3 + 128*m**2 - 14*m**5 - 43*m**4 + 64 - 149*m**4 + 50*m**5 + 105*m**3 - 208*m = 0. Calculate m.
-1, 2/3, 1, 4
Let p(m) be the first derivative of -m**8/840 - 3*m**7/140 + m**6/18 + 2*m**3/3 - 17*m - 16. Let s(k) be the third derivative of p(k). Factor s(h).
-2*h**2*(h - 1)*(h + 10)
Suppose 2*d = f - 36, f + 7*d = 5*d + 44. Let 4*y**2 - 67 + 327 - 164 + f*y = 0. Calculate y.
-6, -4
Let g(t) = t**3 + 20*t**2 - 45*t - 22. Let x be (-80)/(-15) + -5 - 134/6. Let v be g(x). Find r such that v + 2/5*r**2 + 0*r - 3/5*r**3 = 0.
0, 2/3
Let r(f) be the third derivative of 0*f + 0 - 4/3*f**3 + 1/30*f**6 + 5/6*f**4 - 44*f**2 - 4/15*f**5. Find l, given that r(l) = 0.
1, 2
Let z(k) = -k**2 + 37*k + 6. Let o(r) = 6*r**2 - 2*r + 9. Let c be o(-2). Let m be z(c). Let 3/2*l**2 - 6*l - m + 3/2*l**3 = 0. What is l?
-2, -1, 2
Let d be 42/(-4) + (429 - 418). Factor 0 + 5/2*l**2 - 2*l**3 - l + d*l**4.
l*(l - 2)*(l - 1)**2/2
Let s(z) be the third derivative of -z**5/390 + 575*z**4/78 - 330625*z**3/39 + 2*z**2 - 242*z. Determine i so that s(i) = 0.
575
Suppose -12*f + 0*f = 936. Let i be (f/(-130))/((-2)/(-10)). Factor -45/2*a**2 - 5/4*a**4 - 10 - 35/4*a**i - 25*a.
-5*(a + 1)*(a + 2)**3/4
Let h be (-24)/270*(78 + -88). Factor -2/9*j**4 + h*j - 4/9*j**3 - 8/9 + 2/3*j**2.
-2*(j - 1)**2*(j + 2)**2/9
Let s(w) = 2*w**4 - w**2 + w - 5. Let q(c) = -32*c**4 - 55*c**3 + 276*c**2 + 219*c + 30. Let j(o) = q(o) + 6*s(o). Factor j(t).
-5*t*(t - 3)*(t + 5)*(4*t + 3)
Suppose 4226*l = 4259*l - 132. Let f(j) be the second derivative of -1/2*j**l + 3/20*j**5 + 0 + 0*j**2 + 7*j + 0*j**3 + 1/10*j**6. Factor f(r).
3*r**2*(r - 1)*(r + 2)
Let r be (-3)/(((16/(-20))/2)/(12/30)). Let q(w) be the first derivative of -31 - 1/3*w**2 - 1/9*w**r - 1/3*w. Determine n so that q(n) = 0.
-1
Factor 3*r**2 - 230*r**2 - 3072*r - 33*r**2 - 483*r**2 - 4*r**3 - 41*r**2.
-4*r*(r + 4)*(r + 192)
Let q = 50 + -57. Let l be (-1)/1 - (q + 3 + -1). Suppose 6*u**3 + 12*u**2 + u**l + 5*u - 6*u + 9*u = 0. What is u?
-2, 0
Let f(j) be the third derivative of -j**6/60 + 11*j**5/10 + 23*j**4/4 + 35*j**3/3 - 39*j**2 + j. Factor f(c).
-2*(c - 35)*(c + 1)**2
Suppose 2*i = -5*l - 4 - 2, 0 = -2*i - 4*l - 4. Let c = 78 - 76. Factor -c*b + i - 3*b**2 + 4*b**2 + b**2 - 2*b.
2*(b - 1)**2
Let a(j) be the first derivative of 4*j**2 - 260*j + 312. Let v be a(33). Factor -2/3*b**v + 0*b + 0 + 2/3*b**5 - 4/3*b**3 + 0*b**2.
2*b**3*(b - 2)*(b + 1)/3
Let y(u) = 7 + 6 - 6*u - 1 - 1 + 7*u - 24*u**2 - 3*u**3. Let b be y(-8). Factor 3/2*w**4 - 6*w + 0*w**2 + 0 + 9/2*w**b.
3*w*(w - 1)*(w + 2)**2/2
Let p be 4/2*(-12)/(-8). Find q, given that -41*q**4 - 8*q**2 + 20*q**2 + 42*q**4 + 13*q**p = 0.
-12, -1, 0
Let l(y) be the first derivative of y**3 + 216*y**2 - 435*y + 3197. Factor l(b).
3*(b - 1)*(b + 145)
Let m(c) = 3*c**2 + 43*c - 15. Let s be m(-18). Suppose -5*f + 200 = -5*k, -1 - s = -4*f - 2*k. What is j in 38*j**2 - f*j**2 - 3*j**3 + 1 - 1 = 0?
-2, 0
Let d(q) be the third derivative of q**8/33600 + q**7/1400 - 7*q**6/1200 - 67*q**5/30 - 7*q**2 - 13*q. Let a(t) be the third derivative of d(t). Factor a(y).
3*(y - 1)*(y + 7)/5
Let r = 40881/20 - 2044. Let s(g) be the third derivative of 0 - 1/50*g**5 - 13*g**2 + 0*g + 1/300*g**6 + r*g**4 - 1/15*g**3. Factor s(w).
2*(w - 1)**3/5
Let l(a) be the second derivative of a**7/315 - 6*a**6/25 + 1033*a**5/150 - 456*a**4/5 + 23104*a**3/45 - 1103*a. Determine f so that l(f) = 0.
0, 8, 19
What is t in 32/3*t**3 + 52*t**2 + 98/3 + 224/3*t + 2/3*t**4 = 0?
-7, -1
Let d(g) = 6*g**2 + 2*g + 5. Let w(u) = -422*u**2 - 424 + 427*u**2 + 428 + 2*u. Let r be (-10)/(-4)*6/(-3). Let h(n) = r*w(n) + 4*d(n). Factor h(p).
-p*(p + 2)
Let r = -288267 + 1456183/5. Factor -r*b + 92/5*b**4 + 8192/5 + 5216/5*b**2 + 2/5*b**5 + 1346/5*b**3.
2*(b - 1)**2*(b + 16)**3/5
Suppose 11*v - 83 = 49. Suppose -4*z = -v, -3*y - z + 3 = -5*z. Solve 50*f**3 - f + f + 5*f**y - 55*f**3 = 0 for f.
-1, 0, 1
Suppose -2835*i = -2869*i. Let z(n) be the first derivative of 0*n**3 + 0*n**2 + i*n - 11 + 3/16*n**4. Factor z(d).
3*d**3/4
Let b(k) be the third derivative of -k**6/660 - 423*k**5/110 + 77*k**4/4 - 1271*k**3/33 + k**2 + 19*k - 7. What is v in b(v) = 0?
-1271, 1
Let k(g) be the first derivative of -2/7*g**4 + 2/35*g**5 - 2/7*g**2 - 62 + 0*g + 10/21*g**3. Factor k(j).
2*j*(j - 2)*(j - 1)**2/7
Suppose 2/13*s**5 + 0*s + 134/13*s**3 + 0 - 70/13*s**4 - 66/13*s**2 = 0. What is s?
0, 1, 33
Solve -60/7 - 60/7*k**3 - 4/7*k*