*3/9 - 36*d + 58. Let i(w) be the first derivative of f(w). Factor i(n).
2*n*(n - 1)*(n + 1)*(n + 6)/9
Let p(x) = -33*x**2 - 526*x - 168. Let o(z) = -17*z**2 - 256*z - 84. Let q(m) = -5*o(m) + 3*p(m). Factor q(l).
-2*(l + 21)*(7*l + 2)
Let b(w) be the third derivative of w**9/181440 - w**8/7560 + w**7/2160 - w**5/60 + w**3/3 + 68*w**2. Let d(p) be the third derivative of b(p). Factor d(h).
h*(h - 7)*(h - 1)/3
Let b(o) be the second derivative of -3*o**5/110 + 3*o**4/22 + 36*o**3/11 + 96*o**2/11 - 198*o + 2. Factor b(d).
-6*(d - 8)*(d + 1)*(d + 4)/11
Factor 332*u**3 + 547*u**2 + 4*u**4 + 118*u**2 - 13*u**2 - 292*u + 616*u.
4*u*(u + 1)**2*(u + 81)
Let p(c) = -22*c**2 + 85*c - 495. Let h(v) = -4*v**2 + 3*v + 1. Let w(a) = 5*h(a) - p(a). Factor w(z).
2*(z - 25)*(z - 10)
Let y(t) be the first derivative of 4*t**3/3 - 940*t**2 + 220900*t + 2007. Suppose y(o) = 0. What is o?
235
Factor 4/5*h**3 + 236/5*h + 152/5 + 88/5*h**2.
4*(h + 1)*(h + 2)*(h + 19)/5
Let r(w) = 3*w + 41. Let c be r(-13). Factor -160*v**2 - 20*v + 325*v**2 - 163*v**c.
2*v*(v - 10)
Factor 12*o**4 - 8*o**4 - 351*o - 594*o**2 - o**5 - 26*o**4 - 12*o**4 - 288*o**3 - 12*o**4.
-o*(o + 1)*(o + 3)**2*(o + 39)
Let v(m) = -1208*m - 3621. Let i be v(-3). Let w(o) be the second derivative of -9/160*o**5 + 0 + 1/16*o**4 - 3/2*o**2 + 3/4*o**i - 26*o. Factor w(g).
-3*(g - 2)*(g + 2)*(3*g - 2)/8
Let y(h) be the first derivative of 0*h**2 + 2/5*h**5 + 52 + 10/3*h**3 + 0*h + 3*h**4. Factor y(g).
2*g**2*(g + 1)*(g + 5)
Let f(r) be the second derivative of -r**8/13440 + r**7/1680 + r**6/144 + 7*r**4/12 - 13*r**3/6 - 219*r. Let d(x) be the third derivative of f(x). Factor d(g).
-g*(g - 5)*(g + 2)/2
Let s(l) be the third derivative of 9*l + 169/8*l**4 + 9*l**2 + 2197/3*l**3 + 13/40*l**5 + 0 + 1/480*l**6. Factor s(d).
(d + 26)**3/4
Let r(o) = -5*o - 47. Let u be r(-10). Find n such that 10 - 30*n**3 + 25 + 3 + 5*n**4 - 40*n**2 - u + 30*n = 0.
-1, 1, 7
Let x(z) = z**2 + 3*z - 2. Let o be x(-4). Let r be (-54 + (-176040)/(-3300))*(-5)/2. Let -12/11 + 50/11*d + r*d**o = 0. What is d?
-3, 2/9
Suppose -6*h + p = -2*h - 64, 3*h - 2*p = 48. Suppose -17 = -4*m - 3*v, 4*v = -2*m - 0*m + h. Factor -o**m - 7*o + 0*o + o - 5.
-(o + 1)*(o + 5)
Let q(p) = -24*p**2 + 21666*p + 39313281. Let r(c) = c**2 + 2*c - 3. Let i(w) = -q(w) - 27*r(w). Factor i(k).
-3*(k + 3620)**2
Let m(d) be the second derivative of 2*d**6/75 - 30*d**5 + 141373*d**4/15 - 37400*d**3 + 279752*d**2/5 - 40*d - 3. Factor m(k).
4*(k - 374)**2*(k - 1)**2/5
Let t(a) be the first derivative of 0*a + 0*a**2 - 5/8*a**4 + 1/10*a**5 + 2/3*a**3 - 51. Let t(k) = 0. What is k?
0, 1, 4
Let a(v) = -50*v + 10. Let q(b) = -b**2 - 168*b + 29. Let z(h) = -7*a(h) + 2*q(h). Factor z(d).
-2*(d - 6)*(d - 1)
Let o be (-13)/156*4*-6. Let l(v) be the second derivative of 3*v - 5/12*v**4 + 0 - 125/2*v**o - 25/3*v**3. Suppose l(p) = 0. Calculate p.
-5
Factor -x**2 - 31*x + 8*x + 78629 - 78651.
-(x + 1)*(x + 22)
Suppose -4*n - 2*z + 40 = 24, -3*n + 10 = z. Factor -60*t**n - 609*t - t**3 - 36*t - 555*t - 5666 - 2334.
-(t + 20)**3
Suppose 17*f - 23*f - 1152 = 0. Let p be (-6)/8 - 592/f. Factor p*s + 5/3*s**3 - 1/3 - 11/3*s**2.
(s - 1)**2*(5*s - 1)/3
Let l = 370 - 4439/12. Let m(p) be the third derivative of 5/3*p**3 - l*p**5 + 17*p**2 + 5/24*p**4 + 0 + 0*p. Factor m(i).
-5*(i - 2)*(i + 1)
Let f(m) be the second derivative of 0*m**2 + 0 - 4/9*m**3 - 1/9*m**6 + 65*m - 1/10*m**5 + 2/3*m**4. Solve f(c) = 0.
-2, 0, 2/5, 1
Suppose 4*k = -4*b + 20, 2*b + 8*k = 13*k + 3. Suppose -a = -w + 133 - 131, -2 = b*a - w. Factor a + 4/3*f**2 - 16/9*f + 4/9*f**3.
4*f*(f - 1)*(f + 4)/9
Let a be (15/(-10))/(24/(-928)). Find p such that 100 - 25*p**2 + a*p + 157*p + 25*p = 0.
-2/5, 10
Let m be (240/2240 - 9/84) + 2 + (1 - 1). Factor -1/4*g**m + 7/4*g - 3.
-(g - 4)*(g - 3)/4
Suppose -4*l - 27 = 1. Let y(t) = t**2 + 10*t + 23. Let o be y(l). Let -o*j**2 + 4*j**4 - 11*j**2 + 5*j**2 - 1 + 5 = 0. What is j?
-1, 1
Suppose 0 = 2*m + 3*m - 4*n - 22280, 4*m = 4*n + 17824. Suppose -9*q + q = -m. Factor -557 - 7*u**3 - 3*u**4 + 4*u + q.
-u*(u + 1)*(u + 2)*(3*u - 2)
Let w(j) = j**2 - 5*j - 13. Let u be w(7). Let n(o) = 3*o**2 - 2*o + 2. Let h be n(u). Factor -3/5 + 3/5*k - 6/5*k**h + 3/5*k**5 - 3/5*k**4 + 6/5*k**2.
3*(k - 1)**3*(k + 1)**2/5
Let c(t) be the third derivative of -t**6/40 - 5*t**5/4 + t**4/8 + 25*t**3/2 - 12*t**2. Let c(w) = 0. Calculate w.
-25, -1, 1
Let u be 164/52 + (-4)/26. Let j = 2 - u. Let b(v) = -v**2 - 1. Let z(x) = 5*x**4 + 10*x**3 - 16*x**2 - 40*x - 21. Let f(c) = j*z(c) + b(c). Factor f(h).
-5*(h - 2)*(h + 1)**2*(h + 2)
Let d(u) be the third derivative of 2/9*u**3 + 1/90*u**5 + u**2 + 0 + 1/360*u**6 - 7/72*u**4 + 11*u. Factor d(a).
(a - 1)**2*(a + 4)/3
Suppose -1910 - 1726 = -18*v. Let x = v - 401/2. Determine a, given that 0 + x*a - 9/4*a**2 + 3/4*a**3 = 0.
0, 1, 2
Let b be ((-3)/5)/(5/(-25)). Let v(t) = 85*t - 2*t**2 + b*t**2 - 3 + 4 - 84*t. Let h(i) = 2*i**2 - 74*i - 394. Let y(g) = h(g) - 6*v(g). Factor y(r).
-4*(r + 10)**2
Let y = -19 + 23. Suppose 3*f - y = 4*s - 0*f, -5*f = -20. Suppose -4*z + 3*z**2 - 15*z**3 + 19*z - 10 + 2*z**4 + s*z**2 + 3*z**4 = 0. What is z?
-1, 1, 2
Factor 6 - 50/7*z**2 - 344/7*z.
-2*(z + 7)*(25*z - 3)/7
Let d(x) be the third derivative of x**7/945 + 19*x**6/540 - 53*x**5/270 - 73*x**4/36 + 28*x**3/3 + 13*x**2 - 146*x. Let d(k) = 0. Calculate k.
-21, -3, 1, 4
Let q be -12*((0 - 0) + -1). Suppose -q*z + 19 = -65. Factor 50*f**4 - 12*f**2 - 46*f**4 + f + z*f.
4*f*(f - 1)**2*(f + 2)
Factor -535*b - 358 + 1145 - 579*b + 305 + 25*b - 3*b**2.
-3*(b - 1)*(b + 364)
Suppose 0 = j - 5*q - 12, -5*j - 3*q = -2*q - 8. Let h be -2*((-17)/j + 4). Determine m so that 2*m**4 - h*m**4 + 3*m**4 = 0.
0
Suppose 0 = -4*q + 2*k + 16, 4 + 3 = 5*q + 4*k. Determine i, given that -3*i**4 + 27*i**2 + 0*i**4 - 9*i - 3*i - 9*i**3 - q*i = 0.
-5, 0, 1
Let b be (48/6)/4*1. Let -39*k**b + 12*k**4 - 103*k**3 + 151*k**3 + 3*k**5 - 2*k**5 + 103*k**2 = 0. Calculate k.
-4, 0
Let m = 15 + -46. Let k = m - -36. Find q, given that -3*q - 7*q + k*q - q**2 = 0.
-5, 0
Let j(a) = -2*a**3 + 14*a**2 + 8*a. Let i(r) = -3*r**3 + 16*r**2 + 9*r. Let f(k) = -4*i(k) + 5*j(k). Suppose f(n) = 0. Calculate n.
-2, -1, 0
Find t such that -540*t**4 - 686*t + 52*t**2 + 1391*t + 1086*t**3 - 705*t - 596*t**2 - 2*t**5 = 0.
-272, 0, 1
Let f = 3/13090 + 3737/13090. Solve 4/7 - 32/21*q**2 - f*q**3 + 26/21*q = 0 for q.
-6, -1/3, 1
Let t(v) = -2*v**2 + 75*v - 140. Let h(k) = -3*k**2 + 116*k - 209. Let b(w) = -5*h(w) + 8*t(w). Suppose b(x) = 0. Calculate x.
5, 15
Let x(k) be the first derivative of -k**7/294 - 4*k**6/105 - k**5/20 - 5*k + 258. Let r(y) be the first derivative of x(y). Find n such that r(n) = 0.
-7, -1, 0
Let i(b) be the second derivative of -1 + 0*b**3 + 4/19*b**2 - 1/38*b**4 + 25*b - 1/190*b**5. Factor i(t).
-2*(t - 1)*(t + 2)**2/19
Let q(z) = -5*z**3 - z**2 - 2*z. Let i(l) = 10*l**3 + 6*l**2 - 18*l - 20. Let k(w) = -i(w) - q(w). Solve k(y) = 0.
-2, -1, 2
Let w(n) = -2*n - 40. Let y be w(-9). Let c be 168/44 + (-4)/y. Determine s so that 1/3 - 1/3*s**c - 2/3*s**3 + 2/3*s + 0*s**2 = 0.
-1, 1
Let v(o) be the first derivative of 2*o**4 + o**3/3 - o**2/8 + 528. Find r, given that v(r) = 0.
-1/4, 0, 1/8
Factor 682112/3 + 2/3*n**2 + 2336/3*n.
2*(n + 584)**2/3
Find g such that 33*g**4 - 2*g + 103 + 149 - 48 - 104*g**5 + 627*g**2 - 267*g**3 - 598*g + 107*g**5 = 0.
-17, 1, 2
Let z(n) be the third derivative of 0*n - 5/7*n**4 + 0 - 32*n**2 + 1/210*n**5 + 300/7*n**3. Factor z(w).
2*(w - 30)**2/7
Let y be -10 + 24/(-36) + 11. Let u(k) be the first derivative of -y*k**3 + 1/8*k**2 - 7 + 3/16*k**4 + 0*k. Find q, given that u(q) = 0.
0, 1/3, 1
Factor 30*i - 152 + 226 + 44*i + 1078 + 4*i**2 + 142*i.
4*(i + 6)*(i + 48)
Factor 0 + 45/4*w**3 + 0*w - 23/2*w**2 + 1/4*w**4.
w**2*(w - 1)*(w + 46)/4
Suppose 49*x - 54*x - 60 = -5*n, 4*n = -2*x. Let l be (36/x)/(35/(-30)). Factor -6/7*i - l*i**4 - 15/7*i**2 + 48/7*i**3 + 0.
-3*i*(i - 1)**2*(9*i + 2)/7
Let v be (-5)/(-15) - (5127/(-9) - 1). Factor -v + f**2 + 1142 - 575.
(f - 2)*(f + 2)
Let n(j) be the second derivative of 17/8*j**4 - j**5 + 0 + 5*j**3 - 24*j + 6*j**2. Let l(r) be the first derivative of n(r). Solve l(m) = 0.
-2/5, 5/4
Let d(w) be the second derivative of -1/6*w