58*d + 442. Let t be r(5). Let v(g) be the second derivative of -1/40*g**5 - 1/4*g**t + 2*g + 0 - 1/8*g**4 - 1/4*g**3. Factor v(l).
-(l + 1)**3/2
Let q be (44/6)/(2/(-123)) + 4. Let j = 450 + q. Let 32/7*k**2 + 72/7 + 4/7*k**j + 12*k = 0. Calculate k.
-3, -2
Let s be 6/(-30) - (-117813)/15. Let c be s/588 + 1/(-2). Factor 81/7*p + 46/7*p**3 + 1/7*p**5 - 11/7*p**4 - c*p**2 - 27/7.
(p - 3)**3*(p - 1)**2/7
Let i(c) be the third derivative of -c**5/40 - c**4 + 20*c**3 - 2*c**2 - 636*c. Factor i(x).
-3*(x - 4)*(x + 20)/2
Let k(v) = -235*v**3 - 453*v**2 - 198*v + 95. Let h(w) = 705*w**3 + 1360*w**2 + 595*w - 310. Let s(d) = 3*h(d) + 10*k(d). Factor s(q).
-5*(q + 1)**2*(47*q - 4)
Solve -93*u + 14320 + 25*u**3 - 205*u**2 - 132*u + 5*u**4 - 14320 = 0 for u.
-9, -1, 0, 5
Let y(b) be the third derivative of b**5/240 - 5*b**4/32 + 25*b**3/12 - 114*b**2 - 5. Factor y(j).
(j - 10)*(j - 5)/4
Let g(p) be the third derivative of -p**5/15 + 77*p**4/3 + 823*p**2. Suppose g(u) = 0. What is u?
0, 154
Determine b, given that -64/5 + 172*b**3 + 344/5*b**4 + 176/5*b + 160*b**2 + 44/5*b**5 = 0.
-4, -2, -1, 2/11
Suppose 477*d**4 - 110*d**2 - 465*d**4 - 20*d**3 + 21*d + 127 - 29 - d**5 = 0. What is d?
-2, -1, 1, 7
Let t(q) be the third derivative of q**5/240 + 205*q**4/48 - 137*q**3/8 + 3891*q**2. Factor t(h).
(h - 1)*(h + 411)/4
Suppose 988*b + 12 = 994*b. Factor 13*a**2 + 400*a - 14*a**2 - 4*a**b - 8000.
-5*(a - 40)**2
Let b be 13 + 17680/(-1365) + (-53)/(-63). Solve 80/9*q**3 - 4/9*q**5 + b*q**2 - 76/9*q + 32/9*q**4 - 40/9 = 0 for q.
-1, 1, 10
Let f(h) be the second derivative of h**7/14 + 2*h**6/5 - 9*h**5/10 - h**4 + 5*h**3/2 + 896*h - 1. Suppose f(m) = 0. Calculate m.
-5, -1, 0, 1
Let f = 19 + -13. Factor -104*t**2 - 24 - 95*t - 5*t**4 - 45*t**3 - t**2 - f.
-5*(t + 1)**3*(t + 6)
Let i(j) be the first derivative of j**4/10 + 46*j**3/15 + 56*j**2/5 - 392*j - 1221. Factor i(n).
2*(n - 5)*(n + 14)**2/5
Let r(p) be the second derivative of -p**4/3 + 62*p**3/3 - 116*p**2 + 400*p - 4. Factor r(q).
-4*(q - 29)*(q - 2)
Let s(p) be the first derivative of 3*p**5/10 + 12*p**4 + 48*p**3 - 1920*p**2 + 9600*p - 2296. Determine l so that s(l) = 0.
-20, 4
Let o(b) be the second derivative of b**6/210 - 9*b**5/140 - 53*b**4/84 + 3*b**3/14 + 26*b**2/7 + 2355*b. Solve o(f) = 0.
-4, -1, 1, 13
Let g be (10 + (-912)/90)/((-9)/30). Let u(s) be the third derivative of 2*s**2 + 0 - 1/135*s**6 - 7/27*s**4 + 19/270*s**5 + g*s**3 + 0*s. Solve u(l) = 0 for l.
3/4, 2
Factor 98000 + 4/5*w**2 + 560*w.
4*(w + 350)**2/5
Let q(z) be the second derivative of z**7/105 - 19*z**6/75 - 23*z**5/25 + 41*z**4/15 + 3*z**3 - 63*z**2/5 + 17*z - 11. Suppose q(d) = 0. Calculate d.
-3, -1, 1, 21
Factor 24*a + 213*a**2 + 256*a**2 + 28 - 473*a**2.
-4*(a - 7)*(a + 1)
Let h be ((-1342)/77 + 14)/(-4). Determine z so that -4*z**3 - h*z**4 - 18/7 - 8/7*z**2 + 60/7*z = 0.
-3, 1/3, 1
Let a(w) be the second derivative of -80/27*w**3 + 89*w - 1 - 1/27*w**4 + 82/9*w**2. Solve a(u) = 0 for u.
-41, 1
Let l(a) = -9*a**2 - 28*a + 361. Let w(g) = 2*g**2 - 2*g. Let d = -412 - -402. Let p(n) = d*w(n) - 2*l(n). Let p(k) = 0. Calculate k.
19
Let p(h) = -2*h**3 + 19*h**2 + 59*h + 15. Let u be p(12). Let o(w) be the third derivative of 0 - 5/8*w**4 + 5/3*w**u + 1/12*w**5 + 0*w - 14*w**2. Factor o(i).
5*(i - 2)*(i - 1)
Let z(d) be the second derivative of -d**6/9 - 31*d**5/30 - 22*d**4/9 + 2189*d. Suppose z(f) = 0. What is f?
-4, -11/5, 0
Let k(i) be the first derivative of i**6/3 + 18*i**5/5 + 11*i**4 + 4*i**3 - 23*i**2 - 30*i + 4322. Suppose k(o) = 0. Calculate o.
-5, -3, -1, 1
Let z(p) = -2*p**3 - 11*p**2 - 3*p + 4. Let q(c) = c**3 + 10*c**2 + 2*c - 3. Let k(j) = -3*q(j) - 2*z(j). Let f be k(9). Factor 6 - 3 + f*l - 84*l - l**2.
-(l - 1)*(l + 3)
Let k be 9*4*(686/(-28))/(-49). Let o be (k/5)/((-30)/(-50)). Factor o*l - 2/3*l**2 + 20/3.
-2*(l - 10)*(l + 1)/3
Let y(l) be the second derivative of l**5/100 + l**4/4 - 7*l**3/5 - 68*l**2/5 - 385*l. Factor y(c).
(c - 4)*(c + 2)*(c + 17)/5
Suppose 3*t - 3 = 2*t + 3*o, -5*t + 15 = -5*o. Factor -5*d**4 - 45*d**t - 185*d + 33 - 103 - 165*d**2 - 10*d**3.
-5*(d + 1)**2*(d + 2)*(d + 7)
Suppose -l - 5*k + 28 = 0, 5*k = -5*l + 4*k + 20. Factor -6*y**4 + 5*y**4 + 2*y**4 + 2*y**4 + 8 + 19*y**l + 36*y + 42*y**2.
(y + 2)**3*(3*y + 1)
Let a(j) = 832*j - 1660. Let c be a(2). Let l(w) be the first derivative of 5/3*w**3 - c - 5*w**2 - w**5 + 0*w + 5/2*w**4. Determine t so that l(t) = 0.
-1, 0, 1, 2
Suppose -23*u + 931 = 26*u. Suppose 0 = 3*n - u + 19. Find w such that n - 4/7*w - 6/7*w**2 - 2/7*w**3 = 0.
-2, -1, 0
Let -40*w + 60*w**2 - 82*w**4 + 102*w**4 - 16*w**4 + 40*w**3 - 64 = 0. Calculate w.
-8, -2, -1, 1
Let x(b) = 21*b + 136. Let d be x(-6). Suppose -d = -6*q + 8*q, 2*q = 2*s - 14. Suppose 1/2 + 4*c**4 - 10*c**3 + 9/4*c**s + 13/4*c = 0. Calculate c.
-1/4, 1, 2
Let k(g) be the second derivative of 507*g**5/40 + 9243*g**4/8 - 714*g**3 + 165*g**2 + 33*g + 1. Factor k(c).
3*(c + 55)*(13*c - 2)**2/2
Factor -31855*a - 31803*a + 63828*a + 5*a**2 + 320.
5*(a + 2)*(a + 32)
Let v(s) be the first derivative of -s**7/14 - 7*s**6/10 - 9*s**5/10 - 206*s + 229. Let x(y) be the first derivative of v(y). Suppose x(n) = 0. What is n?
-6, -1, 0
Let s(t) be the first derivative of -8 - 1/7*t**3 + 0*t - 1/140*t**5 - 3/2*t**2 - 3/56*t**4. Let c(v) be the second derivative of s(v). What is b in c(b) = 0?
-2, -1
Let n(g) = 32*g**3 - 4*g**2 - 7*g - 14. Let p be n(-4). Let f = p - -2100. Factor -28/15 - 2/15*q**f + 6/5*q.
-2*(q - 7)*(q - 2)/15
Let n(m) = 9*m - 22. Let u be n(6). Factor -3*d**2 - d**3 + 51*d + 58 + u - d**2 + 8*d**2.
-(d - 10)*(d + 3)**2
Let k(d) be the first derivative of d**3 - 1209*d**2 + 487227*d - 1397. Factor k(s).
3*(s - 403)**2
Let l(w) be the first derivative of 2*w**3/15 - 102*w**2/5 + 784*w/5 - 4096. Factor l(d).
2*(d - 98)*(d - 4)/5
Let c = 761904937/144 - 5290986. Let o = 385/16 - c. Suppose -128/9*h**2 - 2/9 - o*h = 0. What is h?
-1/8
Let 198/5*h - 20 - 96/5*h**2 - 2/5*h**3 = 0. What is h?
-50, 1
Suppose 0 = -4*i + 4, 58*v - 63*v = 3*i - 23. Let f(c) = c**2 + 5*c + 1. Let d be f(-7). Find a, given that 3 + d*a**3 - 9*a**2 - 3 + 5*a**v + 19*a**2 = 0.
-2, -1, 0
Let c(k) = -6*k**3 - 124*k**2 - 24*k + 7. Let h(b) = b**3 + 21*b**2 - 1. Let z(x) = -5*c(x) - 35*h(x). Factor z(w).
-5*w*(w - 1)*(w + 24)
Suppose -2*j + 4*j + 463 = q, -2*q = 5*j - 908. Let m be (-3)/(-1)*-1 + 1428/q. Suppose m*l**2 + 14/9*l + 49/9 = 0. Calculate l.
-7
Suppose 4*s = -y + 14, -8*y + 12 = 2*s - 5*y. Let z be (-5)/25 - (-19)/45. Factor 1/9*q**2 + 1/9*q**s + 0 - z*q.
q*(q - 1)*(q + 2)/9
Let b(y) be the second derivative of 33/2*y**2 - 1/12*y**4 - 4/3*y**3 + 101*y + 0. Factor b(h).
-(h - 3)*(h + 11)
Factor -239/7 - 1/7*o**2 - 240/7*o.
-(o + 1)*(o + 239)/7
Suppose 6961*v**4 + 7*v**5 - 9*v**5 + 120*v + 34*v**2 - 6971*v**4 + v**5 - 23*v**3 = 0. What is v?
-5, -4, -3, 0, 2
Suppose -130*c = -143*c - 25883. Let v = -1987 - c. Let 4*u**3 + 16/3*u**v + 5*u - 32/3*u**2 - 2/3 = 0. Calculate u.
-2, 1/4, 1/2
Let s = -3552 + 3552. Let j(u) be the third derivative of s*u - 1/24*u**4 + 1/120*u**6 + 0 + 3*u**2 - 1/2*u**3 + 1/20*u**5. Factor j(v).
(v - 1)*(v + 1)*(v + 3)
Let j(c) be the second derivative of c**4/12 - 175*c**3/3 - 351*c**2/2 + 4656*c. Solve j(r) = 0 for r.
-1, 351
Let y = -41491/4 + 10373. Let u(a) be the second derivative of y*a**4 + a**3 + 0 - 9/2*a**2 - 16*a. Solve u(l) = 0 for l.
-3, 1
Let k be ((-2)/(377/39 - 5))/(81/(-42)). Factor -2/9*v**4 + 4/9*v**3 + 0*v**2 + 0*v + 0 - k*v**5.
-2*v**3*(v - 1)*(v + 2)/9
Determine n so that -39*n**3 + 184*n**4 - 189*n**4 - 56*n**3 + 100*n**2 = 0.
-20, 0, 1
Let x(s) be the third derivative of s**6/420 + s**5/7 - 69*s**4/28 + 108*s**3/7 - s**2 + 24*s + 14. Let x(m) = 0. Calculate m.
-36, 3
Let x = 21/74 + 223/518. Let r(f) be the first derivative of -x*f**2 + 29 - 2/21*f**3 + 0*f. Factor r(s).
-2*s*(s + 5)/7
Let k(a) be the first derivative of 7*a**3/3 + 24*a**2 + 57*a - 112. Let d(u) = -48*u**2 - 336*u - 396. Let t(f) = -4*d(f) - 27*k(f). Factor t(v).
3*(v + 1)*(v + 15)
Let q(s) be the second derivative of -s**5/110 - 1065*s**4/22 - 1134225*s**3/11 - 1207949625*s**2/11 + 264*s + 2. Determine b so that q(b) = 0.
-1065
Factor 2469/5*f - 66 + 9*f**2.
3*(f + 55)*(15*f - 2)/5
Let i(p) be t