+ 241*n**4/216 - 40*n**3/9 - 2*n**2 - 492*n - 3. Factor p(g).
-(g - 240)*(g - 1)/9
Let j(l) be the first derivative of -124/5*l + 18 - 12*l**2 + 4/15*l**3. Factor j(v).
4*(v - 31)*(v + 1)/5
Suppose -s + 247 - 228 = 4*y, 2*y = 3*s - 1. Let o(a) be the first derivative of 10*a**2 + 5/4*a**y + 20/3*a**3 + 0*a + 16. Find z such that o(z) = 0.
-2, 0
Let j(c) be the first derivative of c**4/26 - 254*c**3/13 - 1152*c**2/13 - 2558. Factor j(p).
2*p*(p - 384)*(p + 3)/13
Let -369 - 392*b + 1097*b + 0*b**2 + 14 + 10*b**2 = 0. What is b?
-71, 1/2
Suppose -466*h - 65*h - 1083*h - 523 + 3751 = 0. Determine t, given that -2/13*t**h - 62/13*t + 64/13 = 0.
-32, 1
Let u(s) be the first derivative of 0*s + 0*s**2 - 2 - 1/11*s**4 - 2/55*s**5 + 2/11*s**3. Find o, given that u(o) = 0.
-3, 0, 1
Let m be (1 + 0)/((-38)/(-456)). Let w be (-9)/(-6)*16/m. Factor -9/4*h**w - 9/4*h - 3/4*h**3 - 3/4.
-3*(h + 1)**3/4
Let s(p) be the third derivative of 2*p**7/105 + 139*p**6/30 - p**5/15 - 139*p**4/6 + 1633*p**2. Factor s(f).
4*f*(f - 1)*(f + 1)*(f + 139)
Let a(f) be the third derivative of -f**5/150 - 251*f**4/60 - 3*f**2 - f + 231. Factor a(u).
-2*u*(u + 251)/5
Let b(s) be the first derivative of 10/3*s**3 + 1/2*s**4 + 3*s**2 - 18*s + 185. Factor b(g).
2*(g - 1)*(g + 3)**2
Let m(i) = -i**3 - 2*i**2 - 19*i - 5. Let b be m(-4). Solve 157*d - 14*d**2 - b*d - 6 + 14 = 0.
-1/7, 4
Let v(k) be the second derivative of 0*k**2 + 2*k + 0 + 1/70*k**6 + 12167/14*k**3 + 207/140*k**5 + 1587/28*k**4. Factor v(t).
3*t*(t + 23)**3/7
Let n(s) be the third derivative of -1/30*s**5 + 0*s + 0*s**3 + 19/12*s**4 + 15*s**2 - 1. Factor n(t).
-2*t*(t - 19)
Find c such that 397*c - 134*c - 3*c**2 + 48*c - 41*c + 273 = 0.
-1, 91
Let -690*a - 411*a**3 + 4232 + 3*a**4 - 2*a**4 - 613*a**2 + 163*a**3 + 200*a**3 - 2*a**4 = 0. What is a?
-23, -4, 2
Let w be (-55)/(2 + 21/(-7)). Let o be ((-5)/w)/((-8)/44). Let -x**4 + 3*x**2 - 1 - o*x - 1/2*x**3 = 0. Calculate x.
-2, -1/2, 1
Find r such that 8*r**2 + 5*r**4 - 37*r**5 - 4*r**2 - 32*r**5 - 8*r**3 + 68*r**5 = 0.
0, 1, 2
Let a(m) be the first derivative of m - 1/21*m**4 + 4/7*m**2 + 2/21*m**3 - 14. Let h(k) be the first derivative of a(k). Factor h(g).
-4*(g - 2)*(g + 1)/7
Let r = -15995 - -239927/15. Let w(d) be the second derivative of 22*d - 1/5*d**5 + 0*d**2 - 2*d**3 - 5/3*d**4 + r*d**6 + 0. Let w(c) = 0. What is c?
-1, 0, 3
Let v(q) = 4*q - 94. Let d(x) = -x**3 + 31*x**2 + 67*x - 9. Let z be d(33). Let y be v(z). Let -2*m + 0 + 3/2*m**3 + 0*m**y - 1/2*m**4 = 0. What is m?
-1, 0, 2
Let d(j) be the second derivative of j**4/66 - 296*j**3/33 + 21904*j**2/11 - 384*j. Factor d(x).
2*(x - 148)**2/11
Let k(o) = -28*o**3 + 424*o**2 + 5156*o + 20336. Let v(n) = 17*n**3 - 283*n**2 - 3437*n - 13557. Let x(w) = -5*k(w) - 8*v(w). Factor x(l).
4*(l + 11)**2*(l + 14)
Let m(y) be the second derivative of 2*y + 11/2*y**3 + 1/4*y**4 - 7 + 0*y**2. Factor m(z).
3*z*(z + 11)
Let j be 10 - 7/(-2)*100/(-35). Let x(u) be the second derivative of 11/4*u**5 + 5/6*u**4 + 3/2*u**6 + 0 + 0*u**2 + j*u**3 - 28*u. Factor x(k).
5*k**2*(k + 1)*(9*k + 2)
Let 9*d**3 + 340720*d - 49*d**3 - 340690*d + 65*d**2 = 0. What is d?
-3/8, 0, 2
Suppose -c + 10 = 2*k, k + 32 - 58 = -4*c. Let u(b) be the first derivative of -9/20*b**5 + 0*b**2 - 1/8*b**c - 6 - 9/16*b**4 + 0*b - 1/4*b**3. Solve u(n) = 0.
-1, 0
Suppose 4*b + 47 = 83. Solve 6 + b*z - 85*z**2 - 3*z**3 + 85*z**2 = 0.
-1, 2
Let u(z) = -87*z + 181*z + 397 - 92*z - 68*z. Let o be u(6). Find i, given that 3/4*i + 1/4*i**2 - o = 0.
-4, 1
Let f = 359513 + -359509. Suppose 32/9*x**3 - 128/9*x**f - 28/9*x - 98/9 + 74/3*x**2 = 0. Calculate x.
-7/8, 1
Let d(u) be the first derivative of 3*u**4/16 + 25*u**3 + 1161*u**2/8 + 216*u - 1608. Let d(p) = 0. What is p?
-96, -3, -1
Let f(v) be the second derivative of 0 - 3/20*v**5 + v**4 + 3*v**2 - 11*v - 5/2*v**3. Determine a so that f(a) = 0.
1, 2
Let y = 4822 - 14462/3. Let w(x) be the second derivative of -1/3*x**4 + 0*x**2 - 1/5*x**5 + 0 + y*x**3 + 20*x. Factor w(r).
-4*r*(r - 1)*(r + 2)
Let x(u) be the first derivative of 28/15*u**5 + 0*u + 5/3*u**4 + 116 - 64/9*u**3 + 8/3*u**2. Find b such that x(b) = 0.
-2, 0, 2/7, 1
Suppose -4*x + 2567 - 2533 = 2*o, -4*x + 13 = -5*o. Suppose 210*h - 24 - 243/2*h**o - 432*h**2 = 0. Calculate h.
-4, 2/9
Let w(s) be the second derivative of s**7/14 - 47*s**6/30 + 39*s**5/5 + 33*s**4 - 736*s**3/3 + 384*s**2 + 5*s - 366. Let w(p) = 0. What is p?
-3, 2/3, 2, 8
Let z = -70948/49 + 1448. Let m = z - -10/49. Factor 10/7*g - 8/7*g**2 + 0 - m*g**3.
-2*g*(g - 1)*(g + 5)/7
Let f be ((-2)/(-20))/(-5 + ((-2511)/180 - -19)). Factor 3/4*j**3 + 3249*j - 171/2*j**f - 41154.
3*(j - 38)**3/4
Factor 54*w**2 - 273/5*w**3 + 3/5*w**4 + 0*w + 0.
3*w**2*(w - 90)*(w - 1)/5
Let n be (-4)/(-3) + (-9132)/20547. Suppose 98/9*s**5 + 0*s**2 + n*s - 106/9*s**3 + 0*s**4 + 0 = 0. Calculate s.
-1, -2/7, 0, 2/7, 1
Let u(n) = 49*n + 1180. Let g be u(-24). Let i(q) be the first derivative of 54/5*q + 92/45*q**3 + 2/75*q**5 - 48/5*q**2 - 5 + 8/15*q**g. Factor i(l).
2*(l - 1)**2*(l + 9)**2/15
Let i = -447 - -1053. Let o = 608 - i. Suppose 3/4 + 1/2*w - 1/4*w**o = 0. Calculate w.
-1, 3
Let u(i) = -i**3 - 6*i**2 + 40*i. Let a be u(4). Let d(r) be the first derivative of 8 + 2/3*r**3 + a*r**2 + 0*r - 3*r**4. Find v, given that d(v) = 0.
0, 1/6
Let j = -206812/7 - -29546. Solve 0*y + 2/7*y**3 + 0 + j*y**2 = 0 for y.
-5, 0
Let s(k) = 2*k**2 + 6*k. Let z(g) = 4*g**3 + 24*g**2 + 104*g + 64. Let w(t) = 20*s(t) - z(t). Find f such that w(f) = 0.
-2, 2, 4
Let y = 1017 - 958. Determine q so that q**5 + 7*q**4 - 20*q**2 + y*q - 75*q + 48 - 17*q**2 - 3*q**2 = 0.
-6, -2, 1, 2
Let h(w) be the first derivative of -40*w**2 - 17/3*w**3 + 224 - 1/4*w**4 - 64*w. Factor h(r).
-(r + 1)*(r + 8)**2
Let w(l) be the first derivative of -405*l**6/2 - 459*l**5/5 + 237*l**4 + 112*l**3/3 - 48*l**2 - 16*l - 1449. Determine m so that w(m) = 0.
-1, -2/9, 2/5, 2/3
Let j = 533123/6777 + 1/6777. Factor -j*u + 2/3*u**2 + 6962/3.
2*(u - 59)**2/3
Let f(k) = -2*k**2 + 175*k - 177. Let c(z) = 4*z**2 - 262*z + 266. Let y(p) = -5*c(p) - 7*f(p). Determine v, given that y(v) = 0.
7/6, 13
Let p be 1*(-1)/11 + (-55926)/(-143). Let h = -388 + p. Factor -2/5*d + 2/5*d**h + 8/5*d**2 - 8/5.
2*(d - 1)*(d + 1)*(d + 4)/5
Determine k, given that -214/9 - 2/9*k**5 - 868/9*k**3 - 1292/9*k**2 - 74/3*k**4 - 286/3*k = 0.
-107, -1
Suppose -3072*c + 915 - 657*c**2 + 661*c**2 - 3991 = 0. Calculate c.
-1, 769
Let s(b) be the second derivative of -b**4/4 - 10*b**3 - 297*b**2/2 + 7214*b. Factor s(x).
-3*(x + 9)*(x + 11)
Let z(l) be the second derivative of -l**7/63 + 13*l**6/9 - 191*l**5/6 - 1125*l**4/2 + 19440*l**3 + 419904*l**2 + 112*l - 11. Factor z(n).
-2*(n - 27)**3*(n + 8)**2/3
Let u(k) be the second derivative of k**6/12 - 23*k**5/10 - 161*k**4/6 - 172*k**3/3 + 96*k**2 + 2134*k. Find d, given that u(d) = 0.
-4, -2, 2/5, 24
Factor 1634/3 + 544*p**2 + 1089*p - 1/3*p**3.
-(p - 1634)*(p + 1)**2/3
Let u(i) be the first derivative of i**5/10 - 9*i**4/8 - 63*i**3/2 - 599*i**2/4 - 210*i - 4351. Solve u(x) = 0 for x.
-7, -3, -1, 20
Let d = 8/13741 + -51597487/54964. Let z = 940 + d. Solve -1/4*v**4 - 9/4*v**2 + z*v**3 - 1/2 + 7/4*v = 0.
1, 2
Let x(b) = -3 + 26*b**2 - 5 - 90*b**2 + 60*b. Suppose 10*v = -13*v + 23. Let t(f) = -f**2. Let i(k) = v*x(k) - 12*t(k). Factor i(s).
-4*(s - 1)*(13*s - 2)
Let a(o) be the third derivative of -o**5/60 + 13*o**4/8 + 86*o**3/3 + o**2 - 343. Find w, given that a(w) = 0.
-4, 43
Let o(c) be the third derivative of 7/2*c**4 + 1/20*c**5 + 226*c**2 + 27/2*c**3 + 0*c + 0. Factor o(k).
3*(k + 1)*(k + 27)
Let l(y) = -6*y - 39. Let x be l(-7). What is j in 2*j**2 - 1173*j**x + 1171*j**3 + 2*j**2 - 2*j = 0?
0, 1
Let g = -237983 - -713950/3. Factor 0 - 8/3*w + g*w**4 - 2*w**2 + w**3.
w*(w - 2)*(w + 1)*(w + 4)/3
Find g such that 1009 - 2165*g + 5*g**3 - 2227*g**2 + 2937*g**2 + 441 = 0.
-145, 1, 2
Let s(o) = 30*o + 164 + 21*o - 18*o + 21*o. Let k be s(-3). Suppose -9/5*m**k + 9/5*m - 3/5 + 3/5*m**3 = 0. Calculate m.
1
Suppose -73*c - 113*c = -536 - 22. Solve 5*x - 1/4*x**c + 1/2*x**2 + 6 = 0 for x.
-2, 6
Let t be ((-14)/(-56))/((-1)/(-28)). Factor 3*h - t*h + 18*h**2 + 21*h**2 - 38*h**2.
h*(h - 4)
Let f(x) = x**2 + 39*x + 110. Let y = 503 - 506. Let i