61/12*k.
-(k - 7)*(9*k + 2)/12
Let j(r) be the third derivative of -1/6*r**3 + 1/20*r**4 + 0 - 32*r**2 + 0*r - 1/300*r**5. Factor j(t).
-(t - 5)*(t - 1)/5
Let v(r) be the first derivative of 7/3*r**2 + 2/9*r**3 - 117 - 16/3*r. Let v(d) = 0. What is d?
-8, 1
Let q(u) be the second derivative of -u**5/15 + 3*u**4 + 38*u**3/3 - 97*u**2/2 + 62*u. Let c(j) be the first derivative of q(j). Suppose c(r) = 0. Calculate r.
-1, 19
Determine k, given that 16/3*k**2 + 40*k**3 + 98/3*k**5 + 0 + 84*k**4 + 0*k = 0.
-2, -2/7, 0
Find p, given that 1/2*p**2 + 0 - 243*p = 0.
0, 486
Let -64/7 - 9*c + 1/7*c**2 = 0. What is c?
-1, 64
Let r(n) be the second derivative of -n**4/60 + 853*n**3/30 - 426*n**2/5 + 6*n + 649. Factor r(y).
-(y - 852)*(y - 1)/5
Let p(o) = o**3 + 5*o**2 + 8*o + 18. Let d be p(-4). Determine m, given that 4*m**3 - 218*m**2 + 458*m**d - 220*m**2 = 0.
-5, 0
Let c(w) = 6*w**4 - 9*w**2 - 3*w - 3. Suppose 0 = -5*n + 59 - 79. Let m(x) = x**5 + 5*x**4 - x**3 - 9*x**2 - 4*x - 4. Let a(k) = n*c(k) + 3*m(k). Factor a(u).
3*u**2*(u - 3)*(u - 1)*(u + 1)
Suppose -10*r - 432 - 118 = 0. Let q be (2 + (-15)/9)/(r/(-198)). Let 14/5*b - q*b**2 - 6/5*b**3 + 2/5*b**4 + 12/5 = 0. Calculate b.
-1, 2, 3
Let u be ((-10146)/855 + (-12)/(-1))*(18 - 3). Let -8/3*v - 4/3*v**u + 32/3 = 0. Calculate v.
-4, 2
Let p(j) be the second derivative of j**4/42 + 75*j**3/7 - 454*j**2/7 - 105*j - 7. Factor p(a).
2*(a - 2)*(a + 227)/7
Suppose 4*z - 3*p - 13141 = 6242, 2*p = -2. Let l be 6/45 + 87704/z. What is r in 80/17*r**4 - 32/17*r**5 + 334/17*r**3 + l*r**2 + 10/17 + 98/17*r = 0?
-1, -1/4, 5
Let v = 800 - 798. Let u(x) be the second derivative of -25/6*x**4 - 5/2*x**3 + 0*x**v - 3/4*x**5 - 15*x + 0. Factor u(i).
-5*i*(i + 3)*(3*i + 1)
Let j(h) be the first derivative of -25*h**2 - 44 + 625*h + 1/3*h**3. What is w in j(w) = 0?
25
Find d, given that -1/2*d**5 - 163/2*d + 18*d**3 + 47*d**2 - 16*d**4 + 33 = 0.
-33, -2, 1
Let p(n) be the first derivative of 5/4*n**3 + 9/4*n + 6*n**2 - 39. Solve p(k) = 0 for k.
-3, -1/5
Suppose 3*m + 135 = 4*f, 2*f + 12*m - 11*m - 75 = 0. Let o be 1/2*9/f*24. What is b in 21/2*b**2 + 1/2*b**o + 147/2*b + 343/2 = 0?
-7
Suppose -m = -4*r - 168, r - 2*r = -4. Find x such that 4*x**4 - m*x**5 + 371*x**5 - 189*x**5 + 2*x**4 = 0.
0, 3
Let y(c) = -3*c**3 - 9*c**2 - 4. Let l(d) be the second derivative of -d**2 + 7*d + 1. Let r(f) = -2*l(f) + y(f). Factor r(k).
-3*k**2*(k + 3)
Let 2/13*a**3 + 1998/13*a - 118/13*a**2 - 7290/13 = 0. What is a?
5, 27
Factor -15904 + 56*v**2 - 17*v**2 + 16282 - 327*v.
3*(v - 7)*(13*v - 18)
Let y be (4 + -2)*-6*16/(-96). Let c(p) be the second derivative of 5/6*p**4 + 0*p**3 + 18*p + 0 - 7/4*p**5 + 5/6*p**6 + 0*p**y. Factor c(h).
5*h**2*(h - 1)*(5*h - 2)
Let j(v) be the second derivative of v**6/135 - 137*v**5/45 + 18493*v**4/54 + 12604*v**3/9 + 2116*v**2 + 980*v. Factor j(d).
2*(d - 138)**2*(d + 1)**2/9
Let d(w) be the second derivative of 42*w**6/5 + 24*w**5 + 358*w**4/21 - 80*w**3/21 + 2*w**2/7 - 685*w. Factor d(v).
4*(v + 1)**2*(21*v - 1)**2/7
Let w(v) be the first derivative of -v**3/18 + 92*v**2/3 - 1303. Suppose w(u) = 0. Calculate u.
0, 368
Let r(s) = 2520*s - 25196. Let k be r(10). Factor 3/2*i**2 - 1 - 1/2*i + 1/2*i**3 - 1/2*i**k.
-(i - 2)*(i - 1)*(i + 1)**2/2
Suppose -465653 - 566923 - 306096 - 9313*c + 5305*c - 3*c**2 = 0. Calculate c.
-668
Let v be (-8)/22 - (210060/4950 + -43). Factor -1/5*z**3 - v*z**4 + 0 + 2/5*z**2 + 0*z.
-z**2*(z - 1)*(z + 2)/5
Let c(y) be the second derivative of -184*y + 0 + 4/5*y**2 + 1/60*y**4 - 1/5*y**3. Factor c(d).
(d - 4)*(d - 2)/5
Let x(g) be the third derivative of -g**6/360 - 2*g**5/45 - 13*g**4/72 - g**3/3 - 225*g**2 - 4. Solve x(f) = 0 for f.
-6, -1
Let l(k) = -2366*k**2 - 8736*k - 8174. Let x(d) = -338*d**2 - 1248*d - 1167. Let m(a) = 6*l(a) - 44*x(a). Factor m(o).
4*(13*o + 24)**2
Let q(t) be the second derivative of 2/11*t**3 - 7/11*t**2 + 1/66*t**4 + 16*t + 2. Factor q(z).
2*(z - 1)*(z + 7)/11
Let s(t) be the third derivative of -t**7/210 + 9*t**6/20 + 35*t**5/12 - 19*t**4/2 - 34*t**2 + 98*t. Factor s(u).
-u*(u - 57)*(u - 1)*(u + 4)
Determine k, given that -66*k**3 - 127*k**3 + 60*k - 108*k**3 + 24 + 538*k**3 - 594*k**2 + 273*k**4 = 0.
-2, -2/13, 2/7, 1
Let f(h) be the second derivative of 1/6*h**4 + 0*h**2 - 37*h + 5/6*h**3 + 0 + 0*h**5 - 1/360*h**6. Let d(w) be the second derivative of f(w). Factor d(x).
-(x - 2)*(x + 2)
Let m(b) be the third derivative of b**10/241920 + b**9/20160 + 15*b**4/8 - 161*b**2. Let l(v) be the second derivative of m(v). Find p, given that l(p) = 0.
-6, 0
Let b be 0 - ((-6 - -3) + -1). Let d = -13939 - -13942. Factor 18/7*n**2 - 12/7*n**d - 12/7*n + 3/7 + 3/7*n**b.
3*(n - 1)**4/7
Factor 0 + 2/9*o**4 + 304/9*o**2 - 106/9*o**3 - 200/9*o.
2*o*(o - 50)*(o - 2)*(o - 1)/9
Let m(c) be the third derivative of c**7/70 - 15*c**6/8 + 423*c**5/20 - 621*c**4/8 - 2179*c**2. Find b such that m(b) = 0.
0, 3, 69
Let f = 117636 + -588178/5. Factor 2/5*j**2 + 0*j - f*j**3 - 2/5*j**4 + 0 + 2/5*j**5.
2*j**2*(j - 1)**2*(j + 1)/5
Let q(a) be the first derivative of 8/3*a**3 - 8/5*a**5 + a**4 + 0*a - 205 + 1/3*a**6 - 3*a**2. Let q(k) = 0. What is k?
-1, 0, 1, 3
Let a(l) be the second derivative of -l**7/378 - 2*l**6/135 + l**5/18 + 10*l**4/27 - l**3/6 - 2*l**2 + 3072*l. Solve a(f) = 0.
-4, -3, -1, 1, 3
Suppose -2*r - 199 + 203 = 0. Suppose 1 = a - r. Factor -64 - 36*p**a + 62*p**3 + 124*p**2 - 224*p - 42*p**3.
-4*(p - 4)**2*(4*p + 1)
Let h(r) be the first derivative of -r**3/15 + 21*r**2/5 + 459*r/5 + 5194. Determine w, given that h(w) = 0.
-9, 51
Let x be 478/585 - (-332)/(-19422). Determine y so that -96/5 - 8*y**2 - x*y**3 - 112/5*y = 0.
-6, -2
Let x(v) be the third derivative of v**5/90 + 17*v**4/288 - 11*v**3/12 - 4*v**2 + 5*v. Factor x(r).
(r - 2)*(8*r + 33)/12
Let h(v) = -v**3 - v**2 - v + 9. Let m be h(0). Let d(s) be the first derivative of 1/3*s**2 - m + 0*s + 4/27*s**3. Factor d(k).
2*k*(2*k + 3)/9
Let d = -616446/7 - -88066. Factor 20/7*l**2 + 4/7*l**3 + d + 32/7*l.
4*(l + 1)*(l + 2)**2/7
Let h(w) be the first derivative of 0*w + 4*w**2 + 6 - 4/3*w**3. Factor h(d).
-4*d*(d - 2)
Let t(z) be the third derivative of z**7/210 - z**6/24 + z**5/20 + 3*z**4/8 - 2402*z**2. Factor t(y).
y*(y - 3)**2*(y + 1)
Let c(v) be the third derivative of -v**8/448 + v**7/35 - 3*v**6/80 - v**5/10 + 7*v**4/32 + 1658*v**2. Determine l, given that c(l) = 0.
-1, 0, 1, 7
Suppose 138*j = 47 + 367. Let i(h) be the second derivative of -1/10*h**6 + 13*h - h**j + 1/4*h**4 + 0 + 3/10*h**5 + 0*h**2. Factor i(t).
-3*t*(t - 2)*(t - 1)*(t + 1)
Let d be (((-7)/14)/((-3)/124))/78. Let s = d + -5/117. Factor -s*f**2 + 0*f + 2/9*f**3 + 0.
2*f**2*(f - 1)/9
Let n be (-10 - (4 - 13)) + (26/8)/1. Suppose 0 + 3/2*z**2 - n*z - 1/4*z**3 = 0. Calculate z.
0, 3
Let y(r) be the first derivative of 3/16*r**2 - 15/2*r + 1/8*r**3 - 18. Factor y(v).
3*(v - 4)*(v + 5)/8
Determine j so that -16 + 20*j**3 + 26 - 402 + 8*j**2 - 980*j = 0.
-7, -2/5, 7
Let k(b) = 2 - b**2 + 45*b + 0*b**2 - 2. Let f(l) = 5*l**2 - 270*l. Let a(g) = 4*f(g) + 25*k(g). Factor a(d).
-5*d*(d - 9)
Suppose 14*v + 11 = 59 + 8. Let l(x) be the third derivative of 3/64*x**v + 4*x**2 - 1/320*x**6 + 0*x + 0*x**5 - 1/8*x**3 + 0. Factor l(d).
-3*(d - 1)**2*(d + 2)/8
Let s(g) = -g**2 + 6*g + 4. Let a be s(4). Suppose 80*r + 6 = 166. Suppose 2*d**2 - 96*d + 8*d**2 + a*d**3 + 92*d + r*d**3 = 0. What is d?
-1, 0, 2/7
Let l(w) be the second derivative of w**4/12 - 167*w**3/3 - 336*w**2 + 1464*w. Determine o, given that l(o) = 0.
-2, 336
Determine y, given that 0*y + 2/3*y**4 + 140*y**3 + 0 + 0*y**2 = 0.
-210, 0
Let k = -7/43 - -365/129. Let c be (-32)/1488 - 2632/(-1302). Factor 14/9*a**c + k*a - 8/9.
2*(a + 2)*(7*a - 2)/9
Let z = 286 - 274. Let x(y) = -7*y + 89. Let n be x(z). Determine v so that 4/3*v**4 - 2/3*v**n + 2/3*v - 4/3*v**2 + 0 + 0*v**3 = 0.
-1, 0, 1
Factor 1936/7*a**2 + 25/7 - 440/7*a.
(44*a - 5)**2/7
Let p(j) be the third derivative of 7 - 1/120*j**5 + 11/120*j**4 - 4/15*j**3 - 4*j**2 - 1/1200*j**6 + 0*j. Factor p(m).
-(m - 2)*(m - 1)*(m + 8)/10
Suppose -4*y = -4*b - 12, -3*b - 2 = 4*y + 14. Let k be (-16)/40 + b/(40/(-3674)). Factor -140*q**2 - 465*q**3 - 2 + k*q**3 - 14 + 104*q.
-2*(q + 2)*(7*q - 2)**2
Let s(o) be the first derivative of o