5*p = 612. Let b be 54/4*(-2)/(-12). Let 3/4*c**2 - p*c + b = 0. Calculate c.
1, 3
Let h = -110597/2 + 55310. Factor 9/4*c**4 + 33/4*c + 1/4*c**5 + 15/2*c**3 + 9/4 + h*c**2.
(c + 1)**3*(c + 3)**2/4
Suppose -9*b - 6 = -10*b. Let j(m) = -3*m**3 + 17*m**2 - 28*m + 8. Let t(z) = -9*z**3 + 51*z**2 - 83*z + 24. Let y(q) = b*t(q) - 17*j(q). Factor y(u).
-(u - 4)*(u - 1)*(3*u - 2)
Let c(x) be the third derivative of x**6/30 + 46*x**5/15 - 101*x**4/2 + 312*x**3 - x**2 + 628*x. Factor c(m).
4*(m - 3)**2*(m + 52)
Let a(o) be the second derivative of -o**7/56 + 92*o**6/15 - 45629*o**5/80 + 14945*o**4/12 - 3721*o**3/6 - 7*o + 205. Let a(m) = 0. What is m?
0, 1/3, 1, 122
Let k(c) = 2*c**4 - c**3 - 2*c**2. Let b(v) = 14*v**4 + 898*v**3 + 13281*v**2 + 64125*v - 16875. Let d(r) = -b(r) - 3*k(r). Find u, given that d(u) = 0.
-15, 1/4
Let q(g) = g**2 + 16*g + 28. Let l be q(-2). Factor l*f**2 - 97 + 95 + 10*f - 8*f**2.
-2*(f - 1)*(4*f - 1)
Let s be 1 - (9 + 506247/(-7)). Let s - 3*k**2 + 111*k - 72313 = 0. Calculate k.
0, 37
Suppose -27 + 5*d**3 + 33*d**2 - 73 - 96*d + 91*d - 5*d**4 + 18*d**2 + 54*d**2 = 0. Calculate d.
-4, -1, 1, 5
Let r(p) be the third derivative of -9*p**7/35 - 11*p**6/10 + 131*p**5/90 + 77*p**4/9 - 196*p**3/9 + 4*p**2 + 9*p. Factor r(c).
-2*(c + 2)**2*(9*c - 7)**2/3
Find s, given that 40/7*s**3 + 124/7*s**2 + 2/7*s**4 - 376/7*s + 30 = 0.
-15, -7, 1
Let a(v) be the second derivative of 7/20*v**5 - v**2 + 59*v + 1/2*v**3 + v**4 + 0. Find j such that a(j) = 0.
-1, 2/7
Let n be -11*(-31 - 3 - -5). Suppose 1033 + n = 4*o. Let 3*f**2 - f**2 - 18*f + 23*f + 47*f + o = 0. What is f?
-13
Let c(z) be the third derivative of z**6/60 + z**5/6 - z**4/3 - 20*z**3/3 - z**2 - 123*z + 10. What is w in c(w) = 0?
-5, -2, 2
Let f(z) be the second derivative of z**6/70 - z**4/28 - 13586*z. Let f(t) = 0. What is t?
-1, 0, 1
Suppose -y - 3*y + 34 = 5*h, y + 3*h - 12 = 0. Let q(g) = g**2 - 3*g - 16. Let d be q(y). Factor -4 + 2*b**2 + 4*b**2 - 6*b**2 + b**d.
(b - 2)*(b + 2)
Let k(p) = p**3 - 2*p**2 - 162*p + 477. Let q be k(3). Factor -5/3*g**4 + q - 4/3*g**2 + 0*g - 1/3*g**5 - 8/3*g**3.
-g**2*(g + 1)*(g + 2)**2/3
Let i(r) be the third derivative of -r**8/756 + 32*r**7/945 - 10*r**6/27 + 304*r**5/135 - 224*r**4/27 + 512*r**3/27 + 37*r**2 - 9*r. Factor i(m).
-4*(m - 4)**3*(m - 2)**2/9
Let y(k) be the third derivative of -k**6/30 - 102*k**5/5 - 5202*k**4 - 707472*k**3 + 197*k**2 + 2. Find q, given that y(q) = 0.
-102
Let r(q) = 8*q**2 - 179*q - 22. Let o(z) = 4*z + 1. Let l(f) = o(f) - r(f). Solve l(i) = 0 for i.
-1/8, 23
Let t(m) be the first derivative of 2*m**5/5 - 3*m**4/2 - 10*m**3/3 + 3*m**2 + 8*m + 1237. Factor t(v).
2*(v - 4)*(v - 1)*(v + 1)**2
Let q = -28381/5 - -102209/20. Let s = q + 566. Factor 2*d**3 - 9/4 - 11/2*d**2 + 6*d - s*d**4.
-(d - 3)**2*(d - 1)**2/4
Let r = -37456 - -149827/4. Factor 3/2*s**2 + 0*s**3 + r*s**5 - 3/4*s + 0 - 3/2*s**4.
3*s*(s - 1)**3*(s + 1)/4
Factor 0 + 1/2*j**2 + 290*j.
j*(j + 580)/2
Let t(i) be the second derivative of 2*i**6/105 + 6*i**5/35 - 332*i**4/21 - 1924*i**3/7 + 6422*i**2/7 + 13*i + 42. What is m in t(m) = 0?
-13, 1, 19
Let f = 736217 - 3681083/5. Factor -2/15*n**4 + 16/15*n + 4/5*n**2 + f + 0*n**3.
-2*(n - 3)*(n + 1)**3/15
Factor 32/5*k + 4/5*k**2 + 28/5.
4*(k + 1)*(k + 7)/5
Let h(o) be the first derivative of -o**6/6 - o**5 + o**4/4 + 5*o**3/3 - 1640. Factor h(k).
-k**2*(k - 1)*(k + 1)*(k + 5)
Let a = -406 + 419. Suppose -68 = -4*z - a*z. Factor 8/3 + 4/3*l**3 - 4/3*l + 4/3*l**z - 4*l**2.
4*(l - 1)**2*(l + 1)*(l + 2)/3
Let y(d) be the first derivative of 2*d**3/33 + 38*d**2/11 - 336*d/11 + 3253. Find z such that y(z) = 0.
-42, 4
Let b(o) = -12*o**3 - 195*o**2 - 120*o + 33. Let c(u) = 11*u**3 + 195*u**2 + 121*u - 43. Let t(g) = 2*b(g) + 3*c(g). Factor t(i).
3*(i + 1)*(i + 21)*(3*i - 1)
Factor -40 - 356/3*u - 36*u**3 + 4/3*u**4 - 116*u**2.
4*(u - 30)*(u + 1)**3/3
Let d(q) = 9*q - 8 - 30 - 30 + 17. Let p be d(6). Factor -5*y**p + 2*y**2 + y**4 + 7*y**3 + y**3.
y**2*(y + 1)*(y + 2)
Suppose -5*s = 119 - 104. Let d be ((-110)/33)/(4/s). Factor 0*f + 10/3 - 5/6*f**3 - d*f**2.
-5*(f - 1)*(f + 2)**2/6
Factor -1029/5*y**5 - 588/5*y**4 + 3024/5*y**3 + 0 + 3888/5*y**2 + 1296/5*y.
-3*y*(y - 2)*(7*y + 6)**3/5
Let h = 5500 + -5497. Let n(z) be the first derivative of -9/4*z**2 - 7 + 0*z + 1/2*z**h + 9/8*z**4 - 3/10*z**5. Determine l, given that n(l) = 0.
-1, 0, 1, 3
Let t(w) be the second derivative of -w**6/285 + 7*w**5/95 + 115*w**4/114 + 100*w**3/57 - 1770*w. Determine r, given that t(r) = 0.
-5, -1, 0, 20
Let r(h) be the first derivative of 3*h**5/20 + 867*h**4/8 + 83521*h**3/4 - 6267. Determine z, given that r(z) = 0.
-289, 0
Factor -9*l - 19 + 1/4*l**2.
(l - 38)*(l + 2)/4
Let c(b) = -3*b**2 + 1325*b - 2634. Let a(v) = -35*v**2 + 15900*v - 31610. Let k(j) = -2*a(j) + 25*c(j). Factor k(i).
-5*(i - 263)*(i - 2)
Let m(k) be the third derivative of k**7/630 - 109*k**6/120 + 999*k**5/5 - 18954*k**4 + 209952*k**3 + 27*k**2 + 8*k - 2. Factor m(o).
(o - 108)**3*(o - 3)/3
Let b(m) be the first derivative of 4*m**4 - 20/3*m**3 + 4*m**2 + 0*m - 4/5*m**5 + 53. Factor b(o).
-4*o*(o - 2)*(o - 1)**2
Let i(s) = -s**2 - 30*s - 197. Let h be i(-14). Let z be h/63*5*6/45. Solve -z*q + 2/7*q**2 - 12/7 = 0 for q.
-2, 3
Let y = 35010 - 35005. Factor 2/11 + 10/11*n + 2/11*n**y + 20/11*n**2 + 10/11*n**4 + 20/11*n**3.
2*(n + 1)**5/11
Let s(c) be the second derivative of -1/15*c**5 - 2 - 1/45*c**6 + 1/126*c**7 + 0*c**2 - 5*c + 1/18*c**4 + 1/6*c**3. Factor s(v).
v*(v - 3)*(v - 1)*(v + 1)**2/3
Solve -126176/15*z**2 - 256/3 - 2662/15*z**5 - 99704/15*z**4 + 21728/15*z + 267872/15*z**3 = 0.
-40, 2/11, 2
Let t = -17314 + 259712/15. Let x(o) be the second derivative of 0 + t*o**4 + 0*o**3 + 0*o**2 - 1/25*o**5 + 49*o. What is s in x(s) = 0?
0, 2
Let f(i) be the second derivative of -1/75*i**6 + 0*i**2 + 4/3*i**3 + 3 + 1/5*i**5 - 29/30*i**4 + 4*i. Factor f(b).
-2*b*(b - 5)*(b - 4)*(b - 1)/5
Let h be ((-92)/(-28) + -3)/(4/140). Suppose -5*o - 2 + h = -n, 0 = -2*n - 5*o + 14. Factor 1/9 + 1/9*z - 1/9*z**n - 1/9*z**3.
-(z - 1)*(z + 1)**2/9
Solve 1216/3*y**4 + 6*y + 722/3*y**5 - 64*y**2 + 0 + 284/3*y**3 = 0 for y.
-1, 0, 3/19
Let j = -856991/4 + 214248. Factor c - 1/4*c**3 - j*c**2 + 1.
-(c - 2)*(c + 1)*(c + 2)/4
Let s(z) be the third derivative of -z**6/360 + 19*z**5/60 - 3*z**4 + 106*z**3/9 - 8*z**2 + 49*z + 2. Factor s(m).
-(m - 53)*(m - 2)**2/3
Let z(s) = 2*s**3 - 3060*s**2 - 3066*s + 14. Let p(d) = -d**3 + 2*d**2 + d + 7. Let b(j) = 2*p(j) - z(j). Factor b(r).
-4*r*(r - 767)*(r + 1)
Let x(r) = r**3 + 22*r**2 + 33*r - 630. Let o be x(-8). Let 22*k**o + 512/3 - 2/3*k**3 - 192*k = 0. What is k?
1, 16
Let u = 11179 + -11172. Let j(z) be the third derivative of -1/24*z**4 - 1/30*z**5 + 0 + 0*z + 1/3*z**3 + 1/120*z**6 - u*z**2. Determine y, given that j(y) = 0.
-1, 1, 2
Let l(a) be the third derivative of 4/33*a**3 + 0*a - 1/110*a**5 + 0 + 1/660*a**6 - 119*a**2 + 0*a**4. Factor l(h).
2*(h - 2)**2*(h + 1)/11
Let d be ((66/44)/1)/((-1)/(-2)). Let h(u) be the first derivative of -19 - 45/8*u**4 - 1/2*u**5 - 20*u**d + 0*u - 20*u**2. Solve h(z) = 0 for z.
-4, -1, 0
Let h(p) = 6*p**2 - 1164*p + 112911. Let v(n) = -5*n**2 + 1164*n - 112910. Let t(s) = -2*h(s) - 3*v(s). Suppose t(d) = 0. Calculate d.
194
Let j(s) be the third derivative of s**7/42 - 77*s**6/24 + 275*s**5/2 - 1260*s**4 - 6480*s**3 - 1116*s**2. Factor j(h).
5*(h - 36)**2*(h - 6)*(h + 1)
Let k(o) be the first derivative of o**6/30 - o**5/5 + 43*o - 35. Let d(c) be the first derivative of k(c). Find r, given that d(r) = 0.
0, 4
Let p(g) be the third derivative of -g**5/180 - 1699*g**4/36 - 2886601*g**3/18 + 596*g**2. Let p(r) = 0. What is r?
-1699
Suppose 15*d - 8 = 13*d. Let k(u) be the second derivative of -12*u**4 - 2*u**2 - 8*u**3 + 1 - d*u - 3 + 2. Determine z, given that k(z) = 0.
-1/6
Determine i so that -2/5*i**3 + 0 - 24/5*i**2 + 506/5*i = 0.
-23, 0, 11
Let p be 42 - (4/3 + (-1)/3). Suppose 20 = 46*x - p*x. Factor 5*i**x - 42 + 95 - 20*i - 15*i**2 - 33 + 10*i**3.
5*(i - 1)**2*(i + 2)**2
Let z(x) = -4*x**2 - 14*x + 12. Let v(n) be the first derivative of 25 + 4/3*n**3 - 12*n + 13/2*n**2. Let y(g) = -6*v(g) - 5*z(g). What is j in y(j) = 0?
-3, 1
Let v(a) be the second derivative of a**4/66 - 568*a**