6779*u**2 - 64*u - 45*u - 3388*u**2 - 3390*u**2.
(u - 107)*(u - 2)
Let g(r) = -405*r + 73308. Let f be g(181). Determine t, given that -9/4*t**5 - 12*t**4 + 9/2*t**2 + 6 + 21*t - 69/4*t**f = 0.
-2, -1/3, 1
Suppose -m + 24 = 4*n, -10 + 22 = 4*n - 2*m. Factor -7/6*h**n + 0*h - 5*h**4 - 6*h**3 + 0 - 4/3*h**2.
-h**2*(h + 2)**2*(7*h + 2)/6
Let j(o) be the second derivative of o**6/15 - 11*o**5/2 - 28*o**4/3 - 642*o. Determine a, given that j(a) = 0.
-1, 0, 56
Suppose 2*g + 3*g = -5*y + 350, y - g - 66 = 0. Factor 4*w**4 - 8*w**4 + y*w - 156*w**2 + 112*w + 44*w**3.
-4*w*(w - 5)*(w - 3)**2
Let g(f) be the first derivative of -f**6/6 - 9*f**5/5 + 35*f**4/4 - 5*f**3 - 17*f**2 + 24*f - 2173. What is q in g(q) = 0?
-12, -1, 1, 2
Let x(u) be the third derivative of -3*u + 0*u**3 + 0 - 1/24*u**4 - 1/45*u**5 + 11*u**2 - 1/360*u**6. Determine y so that x(y) = 0.
-3, -1, 0
Let w(d) be the first derivative of d**6/30 - 2*d**5/15 - 21*d**2/2 + 2*d + 71. Let b(t) be the second derivative of w(t). Determine i so that b(i) = 0.
0, 2
Let v(g) be the second derivative of g**6/105 - 27*g**5/35 - 233*g**4/42 + 18*g**3/7 + 232*g**2/7 + 5880*g - 1. Let v(j) = 0. What is j?
-4, -1, 1, 58
Let u(c) be the first derivative of c**4/8 - 277*c**3/6 + 551*c**2/4 - 275*c/2 - 10577. Factor u(k).
(k - 275)*(k - 1)**2/2
Let o be 286/(-6) + 5/(-30)*-4. Let c = -45 - o. Determine d, given that -c*d**2 + d**2 + 3*d - d**2 - 4*d**3 + d**5 + 2 = 0.
-1, 1, 2
Let z(k) be the second derivative of k**4/24 - 2*k**3 + 35*k**2 + 1106*k. Factor z(q).
(q - 14)*(q - 10)/2
Let l(u) be the second derivative of -u**7/630 - 47*u**2 + 51*u. Let p(w) be the first derivative of l(w). Factor p(k).
-k**4/3
Factor 5*p**3 - 6495 - 565*p**2 + 4878 - 14063 + 2942*p + 13298*p.
5*(p - 56)**2*(p - 1)
Factor -j**2 - 2724*j - 408804 + 218537 - 428081 - 2*j**2.
-3*(j + 454)**2
Let m(t) = -25*t**2 - 435*t + 5810. Let y(u) = 17*u**2 + 290*u - 3872. Let x(a) = -7*m(a) - 10*y(a). Factor x(r).
5*(r - 10)*(r + 39)
Suppose 3 - 5 = -2*z, 4*z + 92 = 4*a. Suppose 4*r + 13 = -5*j, -4*r + r + 3*j + a = 0. Factor -2*d**3 - 63*d**2 - d**r + 3645 + 198*d**2 - 2*d**3 - 1215*d.
-5*(d - 9)**3
Let r(z) = z**3 - 10*z**2 + 4*z + 54. Let d be r(9). Suppose -2*i**3 - 18 + 16 + 2*i**2 + 11*i - d*i = 0. What is i?
-1, 1
Let c be (1620/(-360))/(-1*(21/(-6) + 5)). Solve -32*y - 48 - 4/3*y**c + 44/3*y**2 = 0 for y.
-1, 6
Let q(a) be the first derivative of -2*a**3/27 - 52*a**2/9 - 70*a + 4613. Factor q(i).
-2*(i + 7)*(i + 45)/9
Let c(y) = y + 2. Let b(g) = -5*g - 14. Let p be b(-3). Let m be c(p). Factor -13*q**m + 3*q**4 - 4*q**4 + 8*q**2 + 10*q**3 - 4*q**2.
-q**2*(q - 1)*(q + 4)
Factor -409*x**2 + 430 - 440*x - 1326*x**2 - 206*x - 20*x**3 - 639*x.
-5*(x + 1)*(x + 86)*(4*x - 1)
Let r(u) be the second derivative of u**4/24 - 377*u**3/4 + 565*u**2/2 - 290*u + 5. Let r(w) = 0. Calculate w.
1, 1130
Let i(c) = -16*c**3 - 10*c**2 + 12*c. Let o(u) be the third derivative of u**6/20 + u**5/20 - u**4/6 - 3*u**2 + 3. Let n(j) = 5*i(j) + 14*o(j). Factor n(s).
4*s*(s - 1)**2
Determine o so that 16/3*o**3 + 1/6*o**5 + 3*o**4 - 11/2*o - 1/3*o**2 - 8/3 = 0.
-16, -1, 1
Suppose 4*o - 2*o - 144 = -4*p, 168 = 2*o - 4*p. Find x such that -50*x**4 + 260*x**2 - 222*x**3 - 2*x**5 + o*x**2 - 64*x**3 = 0.
-13, 0, 1
Let q(l) be the first derivative of -l**5/20 + l**4/2 - 2*l**3 + 4*l**2 + 52*l - 38. Let r(z) be the first derivative of q(z). Factor r(m).
-(m - 2)**3
Let s(p) be the second derivative of -121*p**5/40 - 341*p**4/12 + 65*p**3/3 - 6*p**2 - 433*p. Factor s(h).
-(h + 6)*(11*h - 2)**2/2
Let c(q) be the second derivative of -9*q**5/40 - 13*q**4/2 - 16*q**3 + 56*q - 4. Factor c(x).
-3*x*(x + 16)*(3*x + 4)/2
Let p(v) be the second derivative of -v**4/16 - 73*v**3/8 - 207*v**2/2 + 1065*v. Factor p(c).
-3*(c + 4)*(c + 69)/4
Let r be (-14)/14 + (-3 - -8) - 0. Let 3*t**4 - 21*t**3 + 60 + 4*t - 62 - 29*t**2 - 12*t - 7*t - 8*t**r = 0. Calculate t.
-2, -1, -1/5
Factor -1/8*p**2 + 61/2*p - 723/8.
-(p - 241)*(p - 3)/8
Let p = -416 - -335. Let x be -2*(2 - p/(-48))*-4. Let x + 5/4*h**2 - 15/4*h = 0. Calculate h.
1, 2
Let i(m) = m**2 - 19*m + 6. Let j be i(21). Suppose 5*x = -5*r, -x - j*r + 43*r = 0. Factor -2*p + x - p**3 + 51/7*p**2.
-p*(p - 7)*(7*p - 2)/7
Let i(g) be the second derivative of 2*g**6/15 + 8*g**5/5 + 4*g**4 + 363*g + 1. Determine t so that i(t) = 0.
-6, -2, 0
Let l(u) be the first derivative of -4*u**5/15 - 2*u**4/3 + 28*u**3/9 + 40*u**2/3 + 16*u + 1115. Determine q, given that l(q) = 0.
-2, -1, 3
Let i(c) be the first derivative of -c**7/14 - c**6/10 + 3*c**5/5 + c**4 - 58*c + 56. Let t(o) be the first derivative of i(o). Let t(u) = 0. Calculate u.
-2, -1, 0, 2
Suppose -10*n = 5*n - 540. Let o(x) be the first derivative of 4 + n*x + 12*x**2 + 4/3*x**3. What is r in o(r) = 0?
-3
Suppose 36*j = -61 + 372 - 131. Let v(r) be the first derivative of -6*r**2 + 12/5*r**j - 22/3*r**3 - 7 + 1/2*r**4 + 0*r. Let v(p) = 0. Calculate p.
-1, -2/3, 0, 3/2
Let m(j) be the second derivative of -2*j**7/21 - 46*j**6/15 - 38*j**5/5 + 86*j**4/3 + 26*j**3 - 126*j**2 + 3013*j. Determine s so that m(s) = 0.
-21, -3, -1, 1
Suppose 0 = -8*j + 11*j - 99. Suppose -28*b = -j*b + 20. Solve -8/9 + 4/9*v**3 - 8/9*v - 2/9*v**b + 2/3*v**2 = 0.
-1, 2
Let t(w) be the first derivative of -w**5/20 + 3*w**4/16 + 11*w**3/4 + 53*w**2/8 + 6*w - 1326. Suppose t(h) = 0. Calculate h.
-3, -1, 8
What is j in 2/15*j**3 + 208/5*j**2 + 16224/5*j + 0 = 0?
-156, 0
Let u(l) be the first derivative of -25*l**6/14 - 678*l**5/35 + 57*l**4/2 + 236*l**3/7 - 723*l**2/14 - 30*l/7 + 1940. Let u(r) = 0. Calculate r.
-10, -1, -1/25, 1
Let v(f) be the third derivative of 0*f + 19/4*f**4 + 75*f**2 - 12*f**3 + 0 - 3/20*f**5. Find q, given that v(q) = 0.
2/3, 12
Let x(l) be the first derivative of 5*l**4/4 - 402*l**3 - 2418*l**2/5 - 968*l/5 + 1718. Factor x(t).
(t - 242)*(5*t + 2)**2/5
Determine k, given that 12*k**5 + 67*k**4 - 132*k - 48 - 37*k**2 + 227*k**2 - 43*k**4 - 15*k**3 + 50*k**2 - 81*k**4 = 0.
-2, -1/4, 1, 2, 4
Let d = 289333/169 - 1712. Let k = 5612/1183 - d. Determine j so that 0 - k*j + 3/7*j**2 = 0.
0, 11
Let p be (420/(-88))/21*(-12)/5. Suppose 3 = -2*w + 9. What is a in p*a**2 + 0 + 4/11*a + 2/11*a**w = 0?
-2, -1, 0
Let v(y) = -22220*y - 22220. Let r be v(-1). Factor -1/4*b**2 + r - 3/4*b.
-b*(b + 3)/4
Let n be -20 - (-2)/((-30)/(-25))*3. Let l be (-8)/(-2)*n*18/(-4860). What is s in 0 - l*s**3 + 0*s**2 + 2/9*s = 0?
-1, 0, 1
Let v = 3628088/544215 + 4/181405. Find o such that -2/3*o**2 - 16/3 + 2/3*o**3 - v*o = 0.
-2, -1, 4
Suppose 395 = 4*g + 5*i, 5*i = -4*g + 3*i + 410. Suppose 0 = g*y - 79*y. Factor 0 + y*n + 4/7*n**5 + 8/7*n**4 + 4/7*n**3 + 0*n**2.
4*n**3*(n + 1)**2/7
Let f(x) = 64*x + 961. Let m(o) = -6*o**2 - 3*o + 10. Let q(v) = 5*v**2 + 2*v - 8. Let a(b) = 4*m(b) + 5*q(b). Let g(w) = a(w) + f(w). Factor g(h).
(h + 31)**2
Let f(b) = 3*b**2 - 304*b - 304. Let h be f(-1). Let o(x) be the second derivative of 8/5*x**h + 25*x + 0 + 9/50*x**5 - 29/30*x**4 - 4/5*x**2. Factor o(t).
2*(t - 2)*(t - 1)*(9*t - 2)/5
Let d(z) be the third derivative of z**5/240 + 13*z**4/96 - 35*z**3/2 + 439*z**2 + 2*z. Factor d(a).
(a - 15)*(a + 28)/4
Suppose -4*b + 5*v + 63 = 0, 2*b - 14 = 3*v + 19. Suppose 257*o + b = 260*o. Suppose -52/9*q**3 + 20/9*q**o - 8/9 + 4*q**2 + 4/9*q = 0. Calculate q.
-2/5, 1
Suppose 34*c = -32*c + 2574. Let u be ((-3)/(-10))/(c/52). Factor 0 + 4/5*x + 2/5*x**2 - u*x**3.
-2*x*(x - 2)*(x + 1)/5
Let m(x) be the second derivative of 1/75*x**6 + 4/5*x**2 + 2/15*x**3 - 1 + 15*x - 1/6*x**4 - 1/20*x**5 + 1/210*x**7. Solve m(w) = 0.
-2, -1, 1, 2
Let x(l) be the first derivative of 5*l**6/4 - 110*l**5 + 18605*l**4/8 + 29450*l**3/3 - 5415*l**2 - 1271. What is y in x(y) = 0?
-3, 0, 1/3, 38
Let g(h) be the second derivative of -5/3*h**4 + 0 + 92/3*h**3 - 198*h - 1058/5*h**2. Factor g(p).
-4*(5*p - 23)**2/5
Let n be (-36140)/9730 - (2 - 6/1). What is v in 12/7*v**3 - 40/7*v + n*v**2 + 26/7 = 0?
-13/6, 1
Let l(y) = 39*y**3 - 38*y**2 - 61*y + 13. Let r(o) = -40*o**3 + 36*o**2 + 60*o - 12. Let c = 48 - 52. Let g(h) = c*l(h) - 3*r(h). Solve g(d) = 0.
-1, 2/9, 2
Let m = 60573/5 - 12113. Suppose n = -4*a - n + 10, 2*n = -2*a. Solve -m*j**2 - 22/5*j**3 + 8/5*j + 18/5*j**a + 12/5*j**4 + 0 = 0 for j.
-1, 0, 2/3
