u - 1)**2*(u + 1)**2
Let o(x) be the second derivative of 5*x**7/42 - 13*x**6/6 - 63*x**5/4 + 1285*x**4/12 - 695*x**3/3 + 240*x**2 - 85*x. Let o(s) = 0. Calculate s.
-6, 1, 16
Let t(a) be the third derivative of 2*a**7/105 - 11*a**6/15 + 36*a**5/5 - 100*a**4/3 + 256*a**3/3 - 91*a**2 - 3*a. Factor t(q).
4*(q - 16)*(q - 2)**3
Let b be (-2)/(21/49 - (-22)/14). Let q be b/(0 + -14 - -11). Factor -q*h**2 + 0*h + 7/6*h**3 + 0.
h**2*(7*h - 2)/6
Let m(k) = 3*k**2 - 1259*k - 2508. Let x(f) = -7*f**2 + 2517*f + 5007. Let j(d) = 5*m(d) + 2*x(d). Factor j(v).
(v - 1263)*(v + 2)
Let q(s) be the third derivative of -s**5/180 + 13*s**4/36 - 35*s**3/6 - 907*s**2. Factor q(g).
-(g - 21)*(g - 5)/3
Let y(b) be the third derivative of -b**5/270 - 47*b**4/27 - 187*b**3/27 - 6434*b**2. Determine q so that y(q) = 0.
-187, -1
Let v = -96 + 113. Let p be (-4)/34 - (-291)/v. Solve 2*r**3 - p*r**2 + 22*r - 13*r + 23*r + r**2 = 0.
0, 4
Let x(n) = -4*n**2 - 61*n - 49. Let q(m) = m**2 + 15*m + 12. Let o(l) = -9*q(l) - 2*x(l). Let k be o(-12). Factor -9*c + 2*c**k - 8 - 6*c**2 + 21*c.
-4*(c - 2)*(c - 1)
Let u = 27832 + -974118/35. Let q(p) be the first derivative of 26 + 10/21*p**3 - 6/7*p**2 - u*p**5 + 1/7*p**4 + 0*p. Suppose q(b) = 0. Calculate b.
-2, 0, 1, 3
Let q = -1/61512 + 553613/307560. Solve -1/5*n**3 + 9/5*n + q - 1/5*n**2 = 0.
-3, -1, 3
Let b(a) be the first derivative of 7/60*a**5 - 2/3*a**4 + 1/180*a**6 + 0*a**2 + 12 + 0*a + 8/3*a**3. Let i(x) be the third derivative of b(x). Factor i(v).
2*(v - 1)*(v + 8)
Let y(h) = -h**4 - 235*h**2 - 936*h - 700. Let c(f) = f**4 + 2*f**3 + 471*f**2 + 1870*f + 1400. Let m(k) = -3*c(k) - 5*y(k). Factor m(n).
2*(n - 14)*(n + 1)*(n + 5)**2
Let t be (-20 - 1040/(-50)) + ((-24)/(-15))/(-2). Let j(u) be the first derivative of t*u - u**2 + u**3 + 23 - 1/4*u**4. Factor j(x).
-x*(x - 2)*(x - 1)
Let w = 579 + -539. Suppose 18*g = 112 - w. Suppose -56/5*r + 76/5*r**2 - 10*r**3 + 16/5 - 2/5*r**5 + 16/5*r**g = 0. Calculate r.
1, 2
Suppose 0 = -2*j + 3*u - 0 + 17, j + 2*u + 2 = 0. Let p be ((-24)/(-15))/j - (-5 - -5). What is q in 3/5 - p*q - q**2 = 0?
-1, 3/5
Let l(b) = -2*b**3 + 16*b**2 + 18*b + 5. Let g be l(9). Solve 14*v**2 + 125 - 14*v**2 + g*v**3 - 45*v**2 + 75*v = 0.
-1, 5
Let a = -18 - -14. Let b be (-2)/(a + 2 + 1). Factor 5*h**b - 16*h**2 + 7*h**2 - 2*h**3.
-2*h**2*(h + 2)
Let w be ((10/(-25))/((15/20)/(2 + -5)))/4. Let 0 - 3042/5*q - w*q**3 + 156/5*q**2 = 0. Calculate q.
0, 39
Suppose 4 = -g + 3*g. Let r = 30721/4845 - 2005/323. Factor 0 + r*w**g + 4/15*w.
2*w*(w + 2)/15
Let b(l) be the first derivative of -l**6/6 - 62*l**5/5 - 117*l**4/4 + 60*l**3 - 11607. Determine s, given that b(s) = 0.
-60, -3, 0, 1
Let m(b) = 878*b - 454. Let j be m(3). Suppose 3 - 6 = -h. Solve -2183*d**h + 0*d**4 - 3*d**4 + j*d**3 = 0.
-1, 0
Suppose 0 = r + 207 + 45. Let t = -5290/21 - r. Factor 4/21 + 2/21*o - t*o**2.
-2*(o - 2)*(o + 1)/21
Let s(w) be the second derivative of w**8/504 + w**7/315 + 33*w**2/2 + 17*w - 2. Let i(b) be the first derivative of s(b). Factor i(d).
2*d**4*(d + 1)/3
Let i be 126*(-25)/(-750) + (-3)/15*1. Let h(k) be the third derivative of 2/3*k**3 + 0*k + 16*k**2 - 1/30*k**5 + 1/12*k**i + 0. Suppose h(w) = 0. What is w?
-1, 2
Let d(o) be the second derivative of o**6/15 + 2*o**5/5 - 31*o**4/6 + 14*o**3/3 + 48*o**2 + 169*o. Solve d(m) = 0 for m.
-8, -1, 2, 3
Let d(y) = 15*y - 128. Let z be d(9). Suppose z = -15*x + 52. Determine c, given that 0 - 8/5*c**x + 2/5*c**2 + 8/5*c - 2/5*c**4 = 0.
-4, -1, 0, 1
Let i be (89/(-3) + 16/(-12))*-1. Suppose 91 = 4*q + i. Let -q*v**3 - 10*v**3 + 10 - 69*v**2 - v**2 - 35*v = 0. What is v?
-2, -1, 1/5
Let l(t) be the first derivative of 0*t + 1/84*t**4 - 1/210*t**5 - 2 + 1/2*t**2 + 2/21*t**3. Let g(i) be the second derivative of l(i). Factor g(m).
-2*(m - 2)*(m + 1)/7
Let i be (-4 - 66) + (-132351)/(-1884). Find x such that 1/4*x - 3/4*x**4 + 3/2*x**2 - 3/4 + i*x**5 - 1/2*x**3 = 0.
-1, 1, 3
Let v = 41/170 - -19/34. Suppose 7*q = 20 + 1. Factor 0 + 4/5*p**4 + 0*p - 8/5*p**2 + v*p**q.
4*p**2*(p - 1)*(p + 2)/5
Let s be (40/56 + -1)*7/(-120). Let t(c) be the second derivative of -15*c - 1/30*c**3 + s*c**4 + 0 - 1/150*c**6 + 0*c**2 + 1/100*c**5. Factor t(p).
-p*(p - 1)**2*(p + 1)/5
Let u(n) be the first derivative of -n**4/16 - 29*n**3/12 - 279*n**2/8 - 891*n/4 - 252. Factor u(o).
-(o + 9)**2*(o + 11)/4
Let f(j) = -5*j - 26. Let k be f(8). Let x = k - -68. Find m, given that 2*m**3 + x*m**3 + 2*m**2 - 6*m**2 = 0.
0, 1
Let a(d) be the second derivative of -3/20*d**5 + 13*d - 5/2*d**3 - d**4 - 3*d**2 + 3. Determine c so that a(c) = 0.
-2, -1
Let 904*o**2 + 536*o**2 + 5*o**5 - 116248*o**4 + 58069*o**4 + 480*o**3 + 58069*o**4 = 0. Calculate o.
-2, 0, 12
Let d = 209492 - 3980344/19. Factor 0 - d*x**3 + 2/19*x**4 + 16/19*x - 8/19*x**2.
2*x*(x - 2)**2*(x + 2)/19
Factor 3252 + 7085*r - 6284*r + 0*r**2 - 3*r**2.
-3*(r - 271)*(r + 4)
Let n(w) be the second derivative of w**4/60 - 137*w**3/30 + 68*w**2/5 + 76*w - 11. Factor n(c).
(c - 136)*(c - 1)/5
Let w(y) = 7*y - 20. Let j be w(3). Let u be j*-2*48/(-160). Factor 0*o**3 + 0*o + 0 + 0*o**2 + 0*o**4 - u*o**5.
-3*o**5/5
Let -1/3*w**5 + 68*w**2 - 133/3*w**3 - 100/3*w + 0 + 10*w**4 = 0. Calculate w.
0, 1, 2, 25
Let b(f) be the first derivative of -21/2*f + 25/4*f**2 + 140 + 2/3*f**3. Determine c so that b(c) = 0.
-7, 3/4
Let o be (2 + 0)/((-1)/(0 + -2)). Factor 7*r - 5*r**5 - 2*r - 14*r**4 + 9*r**2 + 8*r**o + r**2 - 4*r**4.
-5*r*(r - 1)*(r + 1)**3
Suppose -344 = 2*y + 28. Let a be ((-3)/((-81)/42))/((-31)/y). Suppose a*s + 2/3*s**2 + 98/3 = 0. Calculate s.
-7
Factor -540386 + 252*z**3 + 540386 + 16*z**2.
4*z**2*(63*z + 4)
Suppose 4*j + 2*j + 408 = 0. Let r = -29 - j. Determine i so that 36*i + r*i**2 - 1221 + 5*i**4 + 1233 + 18*i**3 - 2*i**4 = 0.
-2, -1
Let d be (-8)/(-28)*(-1)/(138/(-6314)). Let m = -132/23 + d. Solve 0*l + 4/3*l**2 - 32/3*l**3 - m*l**5 + 0 + 59/3*l**4 = 0.
0, 2/11, 1/2, 2
Let h be ((-10)/(-8))/(((-91)/112)/(-13)). Let p be -12 + h + 306/(-39). Factor -6/13*f**3 - 4/13*f - 10/13*f**2 + 2/13*f**4 + p*f**5 + 0.
2*f*(f - 2)*(f + 1)**3/13
Factor -730*d - 4892 + 236*d - 13*d**2 + 27*d**2 + 65901 - 13*d**2.
(d - 247)**2
Let o(z) = -52*z**2 + 1555*z - 3037. Let c(b) = 7*b**2 - 222*b + 434. Let a(t) = -30*c(t) - 4*o(t). Find y, given that a(y) = 0.
2, 218
Suppose 6*d - 28967 - 94183 = 0. Let q = -143147/7 + d. Factor -2/7*u**4 - 332/7*u**2 - 48/7*u**3 - q*u - 242/7.
-2*(u + 1)**2*(u + 11)**2/7
Let n(q) be the second derivative of q**4/18 - 238*q**3/9 - 239*q**2/3 - q - 1051. Factor n(j).
2*(j - 239)*(j + 1)/3
Let j = -102994/3 - -34332. Determine p, given that 16/3*p - 8 - j*p**2 = 0.
2, 6
Let h(l) be the first derivative of l**5/24 - 227*l**4/48 + 15*l**3/2 - 56*l**2 + 24. Let m(o) be the second derivative of h(o). Factor m(v).
(v - 45)*(5*v - 2)/2
Let l be -1 - (-11)/((-220)/(-8))*10170/108. Solve l*x**2 + 5*x - 20/3*x**4 + 5/3*x**5 - 30 - 20/3*x**3 = 0 for x.
-2, -1, 1, 3
Solve 3008/5*b**2 + 0 - 191/5*b**3 + 1024/5*b + 3/5*b**4 = 0.
-1/3, 0, 32
Let s(d) be the first derivative of 0*d - 56 + 1/18*d**2 - 2/27*d**3 + 2/45*d**5 - 1/36*d**4. Factor s(q).
q*(q - 1)*(q + 1)*(2*q - 1)/9
Factor -280900/3 + 1060/3*r - 1/3*r**2.
-(r - 530)**2/3
Let o(b) be the second derivative of 2*b**7/21 + 2*b**6/3 - 17*b**5/5 - 13*b**4/3 + 104*b**3/3 - 56*b**2 - b - 4899. Let o(t) = 0. Calculate t.
-7, -2, 1, 2
Let q be -18 + 9*(-575)/(-225). Solve 4/15*c**4 + 0*c**3 + 0 + 2/15*c - 2/15*c**q - 4/15*c**2 = 0 for c.
-1, 0, 1
What is r in -1916/5*r - 2/5*r**2 + 1918/5 = 0?
-959, 1
Suppose -7*i + 7 - 7 = 0. Suppose -3*h + 9 = f - i*h, -3*f + 3 = h. Let 0*q + f - 10/3*q**3 - 3*q**4 - 1/3*q**2 = 0. Calculate q.
-1, -1/9, 0
Let j(p) be the first derivative of -2*p - 63 - 5/6*p**3 + 7/8*p**4 - 4*p**2. Factor j(r).
(r - 2)*(r + 1)*(7*r + 2)/2
Suppose 5602 + 335*w**2 - 2*w**3 + 13643 + 4400*w - 2925 + 7*w**3 = 0. What is w?
-51, -8
Suppose -101*j + 2418 = -88*j. Let z be j/279*(-1)/(-2). Factor -z*k**4 - 2/3*k - 5/3*k**2 + 0 - 4/3*k**3.
-k*(k + 1)**2*(k + 2)/3
Let p = -413566 + 413568. Let w = 3278/13 + -252. Find j such that 0 - 2/13*j**4 - 8/13*j + w*j**3 + 8/13*j**p = 0.
-2, 0, 1, 2
Let t(f) be the first derivative of -2*f**5/5 - 23*f**4 - 166*f**3 - 364*f**2 - 320*f + 829. F