2*(u + 24)
Let s = -54/77 + 563/693. Let t(g) be the first derivative of 4/27*g**3 - s*g**4 + 4/3*g + 10/9*g**2 + 14. Determine b so that t(b) = 0.
-1, 3
Solve 6/5*d**2 - 342 + 249/5*d = 0 for d.
-95/2, 6
Let r(d) be the second derivative of d**5/20 + 5*d**4/4 + 59*d**3/6 + 45*d**2/2 + 345*d + 2. Determine n so that r(n) = 0.
-9, -5, -1
Suppose -8*h - 188 + 420 - 200 = 0. Let c(q) be the second derivative of 1/2*q**h + q - 1/10*q**6 + 0 + 6*q**3 - 3/5*q**5 - 27/2*q**2. Factor c(v).
-3*(v - 1)**2*(v + 3)**2
Let o = -4549/95 + 963/19. Find s, given that -2/5*s**5 + 2/5*s**4 + 0 + o*s**3 - 26/5*s**2 + 12/5*s = 0.
-3, 0, 1, 2
Factor -16*h**2 + 64*h - 741*h**3 - 44*h**2 + h**4 + 753*h**3.
h*(h - 2)**2*(h + 16)
Let f be (-65)/(-3) - (-98)/(-147). Suppose 3*h = -v + 2, -3*h = 5*v - 31 + f. Suppose h*n**2 - 1/3*n**3 + 0*n + 0 + n**4 = 0. What is n?
0, 1/3
Factor 1/10*k**2 + 416/5 + 833/10*k.
(k + 1)*(k + 832)/10
Find f, given that 56/3*f + 1625/6 - 1/6*f**2 = 0.
-13, 125
Determine l so that -80*l**5 - 227*l - 795*l**4 + 1005*l**2 - 235*l - 405 + 475*l**3 - 89*l + 115*l**4 + 236*l = 0.
-9, -3/4, 1
Let j(m) = 6*m**2 + 19*m + 35. Let x be j(-2). Let c(q) be the second derivative of -6*q**2 + 0 + 32/3*q**3 - 5/3*q**4 - x*q. What is v in c(v) = 0?
1/5, 3
Let t(y) be the second derivative of -y + 15 + 0*y**2 + 1/9*y**5 + 2/9*y**4 + 1/135*y**6 - 8/3*y**3. Factor t(l).
2*l*(l - 2)*(l + 6)**2/9
Determine c so that -16*c**3 + 2531*c**3 - 29375*c**2 + 525*c**3 - 89962*c**2 - 5*c**4 - 927200*c - 465125 - 339693*c**2 = 0.
-1, 305
Suppose -3*d = -3*j - 90 + 9, -2*d - 4*j = -36. Let h be (16/d - (2 - 0)) + 6. Factor -22/3*u - h*u**2 - 10/3 - 2/3*u**3.
-2*(u + 1)**2*(u + 5)/3
Suppose 5*h = -3*h + 800. Let i = 702/7 - h. Suppose 4/7*d - 2/7*d**2 - i = 0. Calculate d.
1
Let v(s) be the first derivative of s**6/60 + 2*s**5/15 + s**4/4 + 8*s**2 - 7. Let y(f) be the second derivative of v(f). Factor y(g).
2*g*(g + 1)*(g + 3)
Solve -3/4*v**3 - 21/2*v**2 - 135/4*v + 0 = 0.
-9, -5, 0
Let f be (((-1)/5)/((-13 - 6) + (-1098)/(-60)))/1. Solve -6/7*l**2 + 4/7*l + f*l**3 + 0 = 0.
0, 1, 2
Suppose -56 = 19*y - 26*y. Suppose -21 - 11 = -y*h. Factor -h*z**2 - 2 + 8*z - 2*z**2 + 7*z**2 - 7*z**2.
-2*(z - 1)*(3*z - 1)
Let a(n) be the first derivative of 220*n - 216 - 120*n**2 - 5/4*n**4 + 25*n**3. Factor a(m).
-5*(m - 11)*(m - 2)**2
Factor -253/4*q**2 - 81 + 17/2*q**3 - 1/4*q**4 - 153*q.
-(q - 18)**2*(q + 1)**2/4
Let z be 25/(-5) - (-13 - -1) - 8. Let o(m) = 145*m + 145. Let x be o(z). Let -9/2*a**4 + 0 + x*a + 0*a**2 - 6*a**3 + 3/2*a**5 = 0. What is a?
-1, 0, 4
Suppose -965 = -2*h + 5*s, -5*h = -2*h - s - 1480. Let j be (165/h)/(2/12*1). Let -2/5*v**j - 2/5 + 4/5*v = 0. Calculate v.
1
Let p(r) = -r**4 + 36*r**3 - 133*r**2 - 2158*r + 4. Let d(j) = -j**4 + 35*j**3 - 133*j**2 - 2160*j + 3. Let w(n) = -8*d(n) + 6*p(n). Factor w(b).
2*b*(b - 19)**2*(b + 6)
Let d(s) be the second derivative of -s**4/48 + 47*s**3/4 + 283*s**2/8 + 2*s - 1209. Factor d(r).
-(r - 283)*(r + 1)/4
Let n(c) be the second derivative of -1/20*c**5 + 1 + 0*c**2 - 1/4*c**4 + 3*c**3 + 9*c. Solve n(x) = 0.
-6, 0, 3
Let h(o) = 2275*o - 27297. Let f be h(12). Find m such that 0*m + 0 + 16/5*m**2 - 56/5*m**f - 4/5*m**4 + 14/5*m**5 = 0.
-2, 0, 2/7, 2
Let i(r) = 12*r**2 - 329*r - 2912. Let o be (-1*4)/(148/(-407)). Let z(g) = -7*g**2 + 164*g + 1457. Let w(l) = o*z(l) + 6*i(l). Factor w(f).
-5*(f + 17)**2
Let s(b) be the second derivative of b**3/2 + 3*b**2 - 11*b. Let q be s(-2). What is o in 3*o**3 - 30*o**2 + q*o**2 + 30 - 10*o**3 + 3*o + 4*o**3 = 0?
-10, -1, 1
Let i(v) be the third derivative of -v**7/70 + v**6 - 239*v**5/20 + 31*v**4 + 264*v**3 - 8891*v**2. Factor i(x).
-3*(x - 33)*(x - 4)**2*(x + 1)
Let q = -540 - -553. Let k(c) be the second derivative of -1/96*c**4 + 0*c**3 + 0 + 0*c**2 + q*c. Solve k(f) = 0 for f.
0
Suppose 30 = -q - 2*t + 24, -3*q = 5*t + 16. Let l be (-1 - 21/(-14))/(q/(-8)). Factor 27/2*s**l + 3 + 27/2*s.
3*(3*s + 1)*(3*s + 2)/2
Let u(r) be the third derivative of 79*r**2 + 0*r**3 + 1/40*r**7 + 0*r + 0 + 3/448*r**8 - 7/20*r**5 - 1/16*r**6 - 1/4*r**4. Find p, given that u(p) = 0.
-2, -1/3, 0, 2
Factor 34656 - 118/3*q**2 + 1/6*q**4 - 26/3*q**3 + 3952*q.
(q - 38)**2*(q + 12)**2/6
Suppose -75*d**3 - 6129*d**4 + 3050*d**4 - 45*d**2 - 5*d**5 + 3044*d**4 = 0. What is d?
-3, -1, 0
Factor 17/3*h**2 + 1573 - 737/3*h + 1/3*h**3.
(h - 11)**2*(h + 39)/3
Suppose -16936 = 3*y - 76*y. Find b such that -b**3 + 117*b**2 - b**3 + 143*b**2 - y*b**2 = 0.
0, 14
Let v be 3*(-2)/15 + 108/20. Suppose -2*p + 6 = 0, 0*y - 12 = y - v*p. Find c such that -4/5*c**4 + 0 - 12/5*c**y + 12/5*c + 4/5*c**2 = 0.
-3, -1, 0, 1
Let n(h) be the second derivative of -5/3*h**3 - 2*h + 106 - 1/30*h**4 - 46/5*h**2. Factor n(b).
-2*(b + 2)*(b + 23)/5
Let u be (-24 + (-45793)/(-1848) - 2/(-16)) + (-28)/49. Solve 4/3*m - 1 - u*m**2 = 0.
1, 3
Let p(f) be the first derivative of -11*f**4/2 + 31*f**3/3 + 2*f**2 - 193*f + 177. Let w(i) be the first derivative of p(i). Factor w(z).
-2*(z - 1)*(33*z + 2)
Let h = -17 + 41. Let o be (4/h - (-2)/6)*4. Factor -21*l**4 - 5*l**o - 5*l**3 - l**5 + 3*l**2 + 17*l**4.
-l**2*(l + 1)**2*(l + 2)
Suppose -5*j + 4*h = -1128, -4*h - 668 = -3*j - 6*h. Let w be (-30)/(-4)*j/770. Determine o, given that -2/11*o**2 - w*o - 72/11 = 0.
-6
Let z(v) be the second derivative of -v**7/5040 - v**6/480 - v**5/120 - 16*v**4/3 + 11*v. Let r(p) be the third derivative of z(p). Suppose r(n) = 0. What is n?
-2, -1
Determine a so that 1472/9 + 64/9*a**3 - 2/9*a**4 + 150*a**2 - 2884/9*a = 0.
-16, 1, 46
Let x(l) be the third derivative of 25*l**2 - 2/3*l**4 + 1/112*l**8 + 7/30*l**6 + 0*l + 1/15*l**5 - 19/210*l**7 + 0*l**3 + 0. Let x(f) = 0. Calculate f.
-2/3, 0, 1, 2, 4
Factor 729129*b**3 + 95*b**4 + 137607326 + b**5 + 779*b**4 + 602*b**4 + 307241939*b + 921233674 + 121984030*b**2 + 405134761*b.
(b + 3)**2*(b + 490)**3
Let c be -9*(-5)/75*5. Let k(j) = 6*j - 11. Let z be k(c). Let t(r) = 4*r**3 + 9*r + 6. Let f(x) = 3*x**3 + 6*x + 4. Let p(g) = z*f(g) - 5*t(g). Factor p(u).
(u - 2)*(u + 1)**2
Let z(n) be the second derivative of -n**5/5 - 5*n**4 - 76*n**3/3 - 48*n**2 + 1638*n. Factor z(d).
-4*(d + 1)*(d + 2)*(d + 12)
Suppose 28*a - 1735*a**2 + 6*a + 1942*a**2 + 26*a = 0. What is a?
-20/69, 0
Let z(l) be the second derivative of -5*l + 29/2*l**4 - 12*l**2 + 2 + 32/3*l**3 - 20*l**5 - 5*l**6. Find n, given that z(n) = 0.
-3, -2/5, 1/3, 2/5
Factor -2/5*d**2 - 474/5*d + 956/5.
-2*(d - 2)*(d + 239)/5
Let y(j) be the first derivative of -11*j**4/96 - 23*j**3/48 - 3*j**2/4 + 66*j + 14. Let g(d) be the first derivative of y(d). Factor g(b).
-(b + 1)*(11*b + 12)/8
Suppose -3*m - 9 + 25 = 2*x, m + 3 = x. Let 9*o**2 - 5 + 80*o - 14*o**m + 10*o**2 + 325 = 0. What is o?
-8
Let x(q) be the second derivative of -q**5/30 - 7*q**4/3 + 43*q**3/9 - 3399*q. Determine g, given that x(g) = 0.
-43, 0, 1
Let a(y) be the second derivative of y**4/84 - 130*y**3/21 - 114*y**2 - 5081*y + 2. Factor a(s).
(s - 266)*(s + 6)/7
Let f be -7 + -153*(-49)/833. Let o be 2/5 - (-18)/5. Solve 1/5*l + 1/5*l**o + 0 - 1/5*l**3 - 1/5*l**f = 0.
-1, 0, 1
Let x(a) be the third derivative of -a**6/660 + 38*a**5/165 + 7*a**4/12 - 2*a**2 - 1900*a. Factor x(w).
-2*w*(w - 77)*(w + 1)/11
Let j be (-66)/(-165)*(3/2 + 6). Factor -4/3*z**2 - 20/9*z**4 - 2/9*z - 8/3*z**j + 0 - 2/3*z**5.
-2*z*(z + 1)**3*(3*z + 1)/9
Let h be (-3*11/(-154))/(15/20). Factor -h*t**3 - 4/7*t**2 + 0 - 2/7*t.
-2*t*(t + 1)**2/7
Let x(a) be the first derivative of -3*a**4/16 - 17*a**3/12 + a**2 + 3*a + 696. Factor x(o).
-(o - 1)*(o + 6)*(3*o + 2)/4
Let y(l) be the second derivative of l**5/4 - 125*l**4/6 + 1870*l**3/3 - 7260*l**2 - 2057*l. Find u, given that y(u) = 0.
6, 22
Factor 3/7*a**3 - 30/7*a + 0 + 27/7*a**2.
3*a*(a - 1)*(a + 10)/7
Solve 54 - 52*d**5 + 270*d**3 + 43*d**5 - 102*d**4 - 189*d + 29*d**2 + 19*d**2 - 168*d**3 + 96*d**4 = 0.
-3, -2, 1/3, 1, 3
Let m(a) be the third derivative of -a**8/448 + a**7/280 + 11*a**6/160 + 7*a**5/80 - 5*a**4/16 - a**3 - 264*a**2 + 2. Let m(z) = 0. What is z?
-2, -1, 1, 4
Let m(d) = 940*d**2 + 290115*d - 64365. Let x(p) = 35*p**2 + 10745*p - 2384. Let h(n) = 2*m(n) - 55*x(n). Factor h(o).
-5*(o + 239)*(9*o - 2)
Suppose -4*o - 3*j = -j - 582, -3*j - 432 = -3*o. Suppose -5*t = 