f u**4/22 - 2*u**3 + 239*u**2/11 + 546*u/11 + 1174. Let x(m) = 0. Calculate m.
-1, 13, 21
Let g(s) be the third derivative of -s**6/30 + 27*s**5 + 271*s**4/2 + 814*s**3/3 - 3008*s**2 + s. Solve g(r) = 0 for r.
-1, 407
Let n(z) be the third derivative of -z**8/15840 - 3*z**7/616 - 19*z**6/1980 - 13*z**5/10 - 4*z**2 + 14*z. Let x(c) be the third derivative of n(c). Factor x(i).
-2*(i + 19)*(7*i + 2)/11
Let f = 563330 + -563324. Suppose -28/3 - 2/3*w**2 + f*w = 0. What is w?
2, 7
Factor 220 - 1/2*t**2 - 47/2*t.
-(t - 8)*(t + 55)/2
Let i(j) be the third derivative of j**9/90720 - j**8/7560 - 11*j**7/7560 - j**6/180 + j**5/3 + 28*j**2. Let p(q) be the third derivative of i(q). Factor p(z).
2*(z - 6)*(z + 1)**2/3
Let z(n) = n**4 - 4*n**3 + n**2 + 1. Let x(d) = -5*d**4 + 212*d**3 + 169*d**2 - 8. Let j(r) = -x(r) - 8*z(r). Factor j(v).
-3*v**2*(v + 1)*(v + 59)
Suppose -24 + 16 = -4*k. Suppose 2*t**2 + k*t**4 - 17*t**2 + 7*t**2 = 0. What is t?
-2, 0, 2
Let t(h) be the first derivative of -2*h**5/125 - h**4/50 + 8*h**3/15 + 3839. Factor t(g).
-2*g**2*(g - 4)*(g + 5)/25
Let g(u) be the second derivative of 2 + 1/85*u**6 + 0*u**2 + 1/357*u**7 + 0*u**5 + 0*u**3 - 2/51*u**4 - 124*u. Factor g(h).
2*h**2*(h - 1)*(h + 2)**2/17
Let i(c) be the first derivative of -7*c**5/5 - 243*c**4/4 - 2191*c**3/3 - 1377*c**2/2 + 578*c + 1620. Let i(w) = 0. What is w?
-17, -1, 2/7
Let u be ((-488)/(-2379))/((-30)/(-285) - 70/(-57)). Find x, given that -2/13*x**2 + u + 0*x = 0.
-1, 1
Suppose -2*d = -4*l + 178, 140 = 3*l - 2*d + 7*d. Let h be 10/(-75) + 1671/l. Let -h*z + z**2 - z**2 + 31*z - 3*z**2 = 0. Calculate z.
-2, 0
Let o(r) be the third derivative of -18*r**3 + 3*r**2 + 24 + 0*r + 1/20*r**5 + 9/8*r**4. Factor o(s).
3*(s - 3)*(s + 12)
Solve 130*n**2 - 4240 + 128*n**2 + 3039*n + 129*n**2 - 382*n**2 + 1196*n = 0.
-848, 1
Let b(y) be the second derivative of -22/3*y**3 + 1/3*y**4 + 3*y + 22 - 24*y**2. Factor b(z).
4*(z - 12)*(z + 1)
Let m(x) = 7*x**2 + 108*x - 55. Let o(y) = 110*y**2 + 1720*y - 880. Let w(c) = -95*m(c) + 6*o(c). Determine i, given that w(i) = 0.
1, 11
Let s(n) be the second derivative of -50*n**2 + 5/6*n**3 + 17*n - 1 + 5/12*n**4. Factor s(j).
5*(j - 4)*(j + 5)
Let r = -57 + 66. Let y be r/4 - 26/104. Factor -8*j + 6*j**y + j**3 + 23*j + 7*j**2 - 4*j**2 - 25.
(j - 1)*(j + 5)**2
Let f(p) be the first derivative of -p**4/4 - 13*p**3 - 82*p**2 + 204*p - 11144. Factor f(m).
-(m - 1)*(m + 6)*(m + 34)
Factor 1011/2*w**2 - 1081*w + 2209/4 + 1/4*w**4 + 23*w**3.
(w - 1)**2*(w + 47)**2/4
Let p(s) = -26*s - 4. Let q be p(6). Let j be -3*(q/36)/5. Solve -2*f**2 + 0 - j*f + 2/3*f**3 = 0.
-1, 0, 4
Let p = 14/15 + 2/5. Suppose -503*d + 1390 = 192*d. Factor p + 14/3*i + d*i**2.
2*(i + 2)*(3*i + 1)/3
Suppose 0 = 4*b + 2*q + 252 - 232, 2*q = 7*b - 64. Factor 2*z**2 + 13/7*z**3 - 4/7*z + 3/7*z**b - 8/7.
(z + 1)*(z + 2)**2*(3*z - 2)/7
Let i(a) be the second derivative of 2/7*a**2 - 3*a + 0*a**3 + 10 - 1/84*a**4. Suppose i(v) = 0. Calculate v.
-2, 2
Let f(v) be the first derivative of v**3/9 + 1102*v**2/3 + 1214404*v/3 + 1552. Factor f(p).
(p + 1102)**2/3
Let h(x) be the second derivative of 0 + 15/2*x**2 - 10/3*x**3 - 9*x + 5/12*x**4. Determine s so that h(s) = 0.
1, 3
Suppose -19*n - 184 = -184. Let p(k) be the second derivative of -4/3*k**2 - 1/9*k**3 + 19*k + n + 1/36*k**4. Determine i, given that p(i) = 0.
-2, 4
Let v(y) be the first derivative of -3*y**5/5 + 27*y**4/2 + 128*y**3 - 459*y**2 + 483*y - 3462. Factor v(t).
-3*(t - 23)*(t - 1)**2*(t + 7)
Suppose 0 = 35*c - 34*c - 5. Factor -101*v + 22*v - 45 + 39*v + c*v**2.
5*(v - 9)*(v + 1)
Suppose -1 + 4 = 3*i, 157 = 3*a - 5*i. Suppose -s + 4*w = 12, -5*w + 11 = 5*s - a. Factor -3*n**2 - 12*n - 7*n**2 + s*n**2.
-2*n*(n + 6)
Let 0 + 65/3*d**3 + 80/3*d**2 + 5*d**4 + 20/3*d = 0. Calculate d.
-2, -1/3, 0
Let j(d) be the third derivative of -2*d**7/525 - d**6/10 - 9*d**5/25 + 103*d**4/30 - 8*d**3 - 2*d**2 + 1718. Let j(q) = 0. What is q?
-12, -5, 1
Let y be 2/8 + ((-4389)/(-36))/19. Let r = 2279/264 + 3/88. Factor y - r*l - 2*l**2.
-2*(l + 5)*(3*l - 2)/3
Let 3/2*i**3 + 4*i**2 - 1/8*i**5 - 5/8*i**4 - 6 - 4*i = 0. Calculate i.
-6, -2, -1, 2
Let f(n) = -13*n**3 + 127*n**2 - 1111*n - 1170. Let i(k) = 3*k**3 - 32*k**2 + 277*k + 294. Let x(a) = 2*f(a) + 9*i(a). Factor x(g).
(g - 18)*(g - 17)*(g + 1)
Let l(f) = -f**5 - 14*f**4 + 22*f**2 + 62*f + 57. Let x(u) = u**4 + 2*u**2 + 2*u - 1. Let q(h) = 4*l(h) + 36*x(h). Suppose q(t) = 0. What is t?
-2, 3
Let j(c) be the first derivative of 4*c**2 + 74 - 1/12*c**4 - 1/3*c**3 + 80/3*c. Factor j(d).
-(d - 5)*(d + 4)**2/3
Let g(p) = p**3 + p**2 - 6*p - 5. Let b be g(-3). Let c be 1*b/15*-15. Find w, given that 110 + c*w**2 - 110 + 5*w**4 + 10*w**3 = 0.
-1, 0
Suppose -3*o + k + 78 = 0, 0 = 5*o + 5*k + 29 - 79. Factor -196/3 + 2/3*p**4 + 26/3*p**3 - 154/3*p + o*p**2.
2*(p - 2)*(p + 1)*(p + 7)**2/3
Let b = -1 - -6. Suppose -57*c - 2 = -58*c. Factor b*o + 16*o**2 - 14*o**4 - 6*o**4 - o**c.
-5*o*(o - 1)*(2*o + 1)**2
Find q, given that -315*q**2 + 416*q - 73*q**2 + 7323 - 3668 - 3683 = 0.
7/97, 1
Let p = 11510 + -11502. Let t(q) be the third derivative of 1/28*q**5 - p*q**2 + 1/14*q**4 + 0 - 1/14*q**3 + 0*q. Determine h, given that t(h) = 0.
-1, 1/5
Let r = 998 - 987. Let j be 16/1320*r*40. Factor 14*u**2 + 0 + 2/3*u**4 - j*u**3 - 12*u.
2*u*(u - 3)**2*(u - 2)/3
Factor -3/4*k**2 - 1350723 + 2013*k.
-3*(k - 1342)**2/4
Suppose -3/5*c**2 - 3207/5*c + 642 = 0. What is c?
-1070, 1
Let v(i) be the second derivative of -8/3*i**3 - 2*i**4 + 0*i**2 + 0 - 1/20*i**5 + 57*i - 1/42*i**7 + 1/5*i**6. Suppose v(u) = 0. Calculate u.
-1, 0, 4
Factor -163/4*m**3 - 1828*m + 1/4*m**4 + 465*m**2 + 2416.
(m - 151)*(m - 4)**3/4
Let v = -317 - -319. Factor 10*t**v + 5*t + 2*t**3 + 58 + 2*t + 9*t - 50.
2*(t + 1)*(t + 2)**2
Let a(n) be the second derivative of -7*n - 3/20*n**5 - 4*n**3 - 5/4*n**4 - 6*n**2 + 0. Factor a(r).
-3*(r + 1)*(r + 2)**2
Let d be 3*1/6*8. Let w(c) be the first derivative of -13*c + 4*c**4 + 25*c - 5 - 3*c**d - 6*c**2 - 4*c. Solve w(f) = 0 for f.
-2, 1
Let p = 80/517 - -104908/3619. Let h(z) be the first derivative of -28 + p*z**2 + 81/14*z**4 + 81/35*z**5 - 96/7*z - 180/7*z**3. Find g, given that h(g) = 0.
-4, 2/3
Let v be (1974/(-564))/(21/(-18)). Factor 3*m**2 - 3/4*m + 3/4*m**v - 3.
3*(m - 1)*(m + 1)*(m + 4)/4
Let k(x) be the second derivative of 0 - 21/2*x**2 + 31*x - 3/40*x**5 - 29/4*x**3 - 2*x**4. Let k(o) = 0. What is o?
-14, -1
Find j such that -14 + 102*j - 298*j - 64*j**2 + 2 = 0.
-3, -1/16
Let r(x) be the third derivative of x**8/112 - 28*x**7/15 + 427*x**6/24 - 125*x**5/6 + 7110*x**2. What is u in r(u) = 0?
0, 2/3, 5, 125
Let h(v) be the second derivative of v**4/72 - 193*v**3/18 + 385*v**2/12 + 889*v + 3. Suppose h(k) = 0. What is k?
1, 385
Let r(q) be the third derivative of -q**8/504 - 17*q**7/315 + 47*q**6/180 + 17*q**5/10 - 19*q**4/2 + 4967*q**2. Solve r(k) = 0.
-19, -3, 0, 2, 3
Solve 4/7*j**5 - 28*j + 50/7*j**4 + 0 - 50*j**2 + 108/7*j**3 = 0 for j.
-7, -1/2, 0, 2
Let y(m) = -2*m**3 + 2*m. Let j(t) = 3*t**3 - 7041*t**2 - 16525231*t - 12928235923. Let d(p) = 3*j(p) + 6*y(p). Suppose d(q) = 0. What is q?
-2347
Let k(u) be the first derivative of 0*u - u**2 - 83 - u**5 - 7/3*u**3 - 1/6*u**6 - 9/4*u**4. Find o such that k(o) = 0.
-2, -1, 0
Suppose 24 = y - 4*g, -4*y + 4*g - 3 = -27. Let k(q) be the second derivative of y - q - 1/4*q**4 - 2*q**3 - 9/2*q**2. Factor k(b).
-3*(b + 1)*(b + 3)
Let w(u) be the third derivative of u**7/280 - 11*u**6/40 + 43*u**5/80 + 3*u**2 - 78*u. Suppose w(l) = 0. Calculate l.
0, 1, 43
Let y(d) be the second derivative of 3*d**7/1820 - d**6/117 - 23*d**5/780 + d**4/26 - 9*d**3 - 2*d - 14. Let p(i) be the second derivative of y(i). Factor p(u).
2*(u - 3)*(u + 1)*(9*u - 2)/13
Suppose -593*y + 715*y**2 + 50 - 96 + 36 - 832*y = 0. Calculate y.
-1/143, 2
Let p(g) be the third derivative of -5/24*g**4 + 1/160*g**6 + 4 + 1/840*g**7 - 1/20*g**5 + 3*g**2 + 2*g**3 + 0*g. Determine i, given that p(i) = 0.
-4, -3, 2
Let y(z) = -78*z**3 - z**2 - 6*z + 1. Let h be y(2). Let n = -637 - h. Suppose 1/2*d**n - d + 0 = 0. What is d?
0, 2
Factor -300*h**3 - 67712/3 - 11776/3*h + 3080*h**2.
-4*(h + 2)*(15*h - 92)**2/3
Suppose 5*v = -2*x + 25, -7*x = -2*x - 3*v - 16. Let d be 2/x + 2