**3 + k**2 + 2*k + 1. Let i(f) = 2*f**5 - 36*f**4 - 190*f**3 - 284*f**2 - 120*f + 4. Let l(g) = -4*a(g) + i(g). Factor l(m).
-2*m*(m + 1)**2*(m + 8)**2
Let s(p) be the second derivative of -p**7/9 - 109*p**6/15 + 229*p**5/15 + 202*p**4/3 - 1720*p**3/9 + 128*p**2 - 147*p. Solve s(z) = 0 for z.
-48, -2, 2/7, 1, 2
Let a(i) = -15*i**2 + 85*i + 175. Let r(u) = 7*u**2 - 41*u - 88. Let v(s) = -2*a(s) - 5*r(s). Solve v(o) = 0.
-2, 9
Let t be (-3022)/(2668/(-4) + -1). Let n = -4/167 + t. Solve 27/4 - n*g + 3/4*g**2 = 0 for g.
3
Let q(i) = -2*i**3 - 74*i**2 - 2*i - 74. Suppose 1 = -d + 5, -164 = 4*n - 4*d. Let t be q(n). What is c in 0 + 24/7*c**3 + 3/7*c**4 + t*c + 3*c**2 = 0?
-7, -1, 0
Let h be 21/(156/(-624)*(-2 + -40)). Find m, given that -14/9 - 4/3*m + 2/9*m**h = 0.
-1, 7
Let o(c) be the first derivative of c**4/42 - 88*c**3/63 - c**2/21 + 88*c/21 - 1504. Factor o(t).
2*(t - 44)*(t - 1)*(t + 1)/21
Let a = -6593/5 + 19789/15. Find s, given that -3/2 - 9/2*s - 1/6*s**3 - 23/6*s**2 + a*s**4 = 0.
-1, -3/4, 3
Let p = 9203/4 + -9197/4. Find b, given that p*b**2 - 3*b - 12 = 0.
-2, 4
Let p(w) be the third derivative of 0 - 1/300*w**6 + 1/50*w**5 - 67*w - 2*w**2 + 3/20*w**4 + 1/3*w**3. Factor p(o).
-2*(o - 5)*(o + 1)**2/5
Let k = 123811 + -495217/4. Let -27/4*i**2 - 3/2*i**3 + k*i**4 + 3/2*i + 0 = 0. What is i?
-1, 0, 2/9, 1
What is x in 2/5*x**2 + 52 - 134/5*x = 0?
2, 65
Let j = 59 - 99. Let t = j - -48. Find i, given that 28 - t - 53*i + 8*i + 25*i**2 = 0.
4/5, 1
Let y(u) = u**2 + 33*u - 480. Suppose -154 + 242 = 8*r. Let f be y(r). Let f*s - 16/3 - 2/3*s**2 = 0. What is s?
2, 4
Let i(z) be the first derivative of -4*z**3/3 + 42*z**2 - 432*z + 3405. Factor i(p).
-4*(p - 12)*(p - 9)
Find g such that 448/3 + 38/3*g**2 + 488/3*g - 2/3*g**3 = 0.
-8, -1, 28
Let s(r) = r**2 - 21*r + 23. Let q be (-2538)/(-126) - 3/21. Let d be s(q). Factor -2/11*f**d + 0 + 0*f + 2/11*f**2.
-2*f**2*(f - 1)/11
Let s(g) = 254*g**2 - 3055*g - 2356345. Let k(z) = 17*z**2 + z - 8. Let h(y) = 30*k(y) - 2*s(y). What is n in h(n) = 0?
-1535
Let h be ((-2)/(-12))/(1592/41392). Factor -23/3*a - 1/3*a**3 + h*a**2 + 11/3.
-(a - 11)*(a - 1)**2/3
Let v(m) be the second derivative of -m**5/70 - 4*m**4/21 - 17*m**3/21 - 10*m**2/7 + m - 2644. Let v(h) = 0. What is h?
-5, -2, -1
Let f(t) be the first derivative of -640*t**2 + 1405/4*t**4 + 260*t - 7 - 125/6*t**6 - 305*t**5 + 1265/3*t**3. Determine c, given that f(c) = 0.
-13, -1, 2/5, 1
Let p = -3876 - -3881. Let n(l) be the third derivative of -1/60*l**p + 0*l**4 + 1/6*l**3 + 0 + 0*l + 3*l**2. Factor n(b).
-(b - 1)*(b + 1)
Let r(o) be the third derivative of -o**6/360 - 29*o**5/90 - 13*o**4/3 + 2*o**2 - 16*o - 7. Factor r(t).
-t*(t + 6)*(t + 52)/3
Let x be (-120)/(-54) - (-24 + (-218)/(-9)). Factor -1/6*j**4 + 0 - 5/6*j**3 - 4/3*j**x - 2/3*j.
-j*(j + 1)*(j + 2)**2/6
Let g(u) be the second derivative of -u**6/165 - u**5/55 + 19*u**4/66 - 28*u**3/33 + 12*u**2/11 + 138*u - 5. What is z in g(z) = 0?
-6, 1, 2
Suppose 0 = -12*w - 28 + 40. Suppose 2*y = 3*j + 11, -2*y = -y + 3*j - w. What is p in 4/5*p + 2*p**2 + 2/5*p**y + 0 + 8/5*p**3 = 0?
-2, -1, 0
Let y be 2 - 296 - (5 + 2). Let w = -299 - y. Determine z so that 0*z + 1/3*z**4 + 0 - 2/3*z**3 + 1/3*z**w = 0.
0, 1
Let t = 126422 - 126419. Let 3*n**t - n**4 + 0 + 8/9*n + 34/9*n**2 = 0. What is n?
-2/3, -1/3, 0, 4
Factor -5*u**3 + 315*u - 90*u**2 - 3585 - 3580 + 7165.
-5*u*(u - 3)*(u + 21)
Let b = -987538 - -12838048/13. Determine i so that 56/13*i - b - 2/13*i**2 = 0.
1, 27
Let d = -151 - -3791. Suppose 3*x = x + d. Factor x*u - 2*u**2 - 1832*u - 3 - 15.
-2*(u + 3)**2
Let q = 1189976/1487395 - 12/297479. Solve 54/5*z**3 - 74/5*z**2 + 46/5*z**4 - 146/5*z + q*z**5 - 12 = 0 for z.
-10, -1, 3/2
Let u = -3412 - -3416. Let f(h) be the third derivative of -9*h**2 + 0*h**3 - 1/360*h**6 + 0 + 0*h + 1/180*h**5 + 0*h**u. Factor f(n).
-n**2*(n - 1)/3
Let w = 143123 - 143118. What is j in -2/3 + 73/3*j**4 + 22/3*j**w + 1/3*j + 85/3*j**3 + 37/3*j**2 = 0?
-1, -1/2, 2/11
Let i be 10/((-150)/9) - 3196/(-10). Suppose -333 = -7*p - i. Let 2/7*o**p + 128/7 - 32/7*o = 0. What is o?
8
Let x(c) be the second derivative of c**4/42 + 47*c**3/7 - 432*c**2/7 - 605*c - 1. Factor x(i).
2*(i - 3)*(i + 144)/7
Suppose -24*y = -22*y + 73*y. Let x = -8/119 - -6/17. Let 0 - 2/7*u + y*u**2 + x*u**3 = 0. What is u?
-1, 0, 1
Let z(x) be the third derivative of -x**8/1176 - x**7/105 - x**6/35 + 2*x**5/105 + 4*x**4/21 - 597*x**2. Determine n so that z(n) = 0.
-4, -2, 0, 1
Let n be ((21/8)/(-21) + -1)/(3/(-4)). Let l(h) be the first derivative of 3*h**4 + n*h**2 - 6/5*h**5 - 24 - 10/3*h**3 + 0*h + 1/6*h**6. Factor l(j).
j*(j - 3)*(j - 1)**3
Let c be -4 + 152/28 - (-124)/(-1302). Let n be -1*(-8)/(-3)*-4. Factor -8/3*b + n - c*b**2.
-4*(b - 2)*(b + 4)/3
Let c be 5 - 11/((-165)/(-51)). Let t(p) be the first derivative of -2/5*p - 4/25*p**5 - 20 + 17/20*p**4 + 13/10*p**2 - c*p**3. Solve t(b) = 0.
1/4, 1, 2
Let r = 2325 + -2322. Let d(a) be the third derivative of 13*a**2 + 0 + 0*a + 1/16*a**4 + 1/6*a**r + 1/120*a**5. Suppose d(o) = 0. Calculate o.
-2, -1
Let g(m) be the third derivative of 0 + 1/3*m**4 + 0*m**3 - 29/180*m**5 + 2*m + 1/90*m**6 + 1/630*m**7 - 181*m**2. Solve g(a) = 0.
-8, 0, 1, 3
Let p(c) be the second derivative of c**7/70 - c**6/40 - c**5/5 + c**4/2 + 87*c**2 - 170*c. Let q(a) be the first derivative of p(a). Factor q(s).
3*s*(s - 2)*(s - 1)*(s + 2)
Let s(x) = 10*x**2 - 44355*x + 6138285. Let u(f) = 3*f**2 - 13861*f + 1918214. Let p(a) = 11*s(a) - 35*u(a). Determine q, given that p(q) = 0.
277
Let h(f) be the second derivative of -f**7/14 - f**6/2 + 51*f**5/20 + 125*f**4/4 + 92*f**3 + 120*f**2 + 2191*f. Find p, given that h(p) = 0.
-4, -1, 5
Let g(j) be the first derivative of -j**5/50 - 11*j**4/30 - 8*j**3/5 - 48*j + 37. Let w(v) be the first derivative of g(v). Solve w(c) = 0.
-8, -3, 0
Let v(b) be the second derivative of 2*b**5/3 + b**4/3 + b**3/15 - 147*b**2/2 - b + 1. Let m(p) be the first derivative of v(p). Factor m(o).
2*(10*o + 1)**2/5
Let m(d) = -5*d**2 - 458*d - 12. Let f(b) = -b - 4. Let r(a) = 3*f(a) - m(a). Factor r(v).
5*v*(v + 91)
Suppose -l - 681 + 6918 = 5*v, -v + 1257 = -3*l. Let m be (-4)/(v/108*3/(-4)). Factor 20/13*s**2 - 6/13*s + 0 - m*s**3.
-2*s*(s - 3)*(3*s - 1)/13
Factor 94/11*z + 3/11*z**2 + 31/11.
(z + 31)*(3*z + 1)/11
Let u = 7823/5457 - 7/321. Let b be 4*((-50)/8 - (-210)/30). Suppose 16/17*a + u - 2/17*a**b - 2/17*a**2 = 0. Calculate a.
-2, 3
Let r = 300 - 2096/7. Let b(l) be the first derivative of r*l**2 - 1 + 8/7*l + 2/21*l**3. Factor b(j).
2*(j + 2)**2/7
Suppose 0 - 321/5*h + 3/5*h**3 - 318/5*h**2 = 0. Calculate h.
-1, 0, 107
Let s = 377 + -369. Factor s*r - 13*r - 60 + 60*r**2 - 53*r**3 + 58*r**3.
5*(r - 1)*(r + 1)*(r + 12)
Let o be (24 - 19 - (1 - 0)) + (-12)/5. Let i(t) be the first derivative of -17 + 2/15*t**3 + 14/5*t + o*t**2. Factor i(r).
2*(r + 1)*(r + 7)/5
Let i(m) = -m**2 - 9*m - 1. Let p(j) = 4*j**2 - 71*j - 96. Let t(n) = -3*i(n) - p(n). Determine h, given that t(h) = 0.
-1, 99
Let l(v) be the first derivative of -v**8/1512 + v**6/270 - v**4/108 - v**2 + 25*v - 25. Let c(k) be the second derivative of l(k). Find g such that c(g) = 0.
-1, 0, 1
Let -2/3*r**3 - 2446/3*r + 418/3*r**2 + 2030/3 = 0. Calculate r.
1, 5, 203
Let f(m) be the second derivative of 0*m**3 + 1/15*m**6 - 1/2*m**4 + 0 + 1/5*m**5 - 2*m + 0*m**2. Factor f(r).
2*r**2*(r - 1)*(r + 3)
Let u be 38 - (-946)/(-43) - (4 - 295/(-25)). Factor u*q**3 + 0 + 1/5*q**4 - 1/5*q - 1/5*q**2.
q*(q - 1)*(q + 1)**2/5
Suppose 0 = -2*b + 11*b + 18*b - 108. Let q(w) be the first derivative of b*w - 6*w**2 + 2*w**4 + 2/3*w**6 - 12/5*w**5 - 10 + 8/3*w**3. Factor q(p).
4*(p - 1)**4*(p + 1)
Let h(p) = p**2 - 7*p + 4. Let u be h(5). Let x be (-28)/u - (-12)/(-18). Factor -298*w**3 - 338*w**x - 112*w**2 - 8*w + 133*w**3 - 277*w**3.
-2*w*(w + 1)*(13*w + 2)**2
Let z(v) be the first derivative of 0*v + 6/5*v**5 + 23/2*v**4 + 80/3*v**3 - 76 - 16*v**2. Factor z(x).
2*x*(x + 4)**2*(3*x - 1)
Suppose -2/7*c**4 - 30258/7 - 31244/7*c**2 + 61008/7*c + 496/7*c**3 = 0. Calculate c.
1, 123
Let r(n) = 30*n**4 - 155*n**3 + 200*n**2 - 75*n + 5. Let b(s) = -15*s**4 + 77*s**3 - 100*s**2 + 45*s - 3. Let q(g) = 5*b(g) + 3*r(g). Solve q(f) = 0 for f.
0, 2, 