)*(s + 6)/11
Let y(k) be the second derivative of -3*k**5/20 + 25*k**4/4 - 34*k**3 + 66*k**2 - 32*k. Factor y(r).
-3*(r - 22)*(r - 2)*(r - 1)
What is i in 199019*i**4 - 196*i**3 + 199145*i**4 - 398072*i**4 + 4*i**5 + 100*i**2 = 0?
-25, 0, 1
Let -36*v + 254*v - 89*v - 480 - 71*v + v**2 - 2*v**2 = 0. Calculate v.
10, 48
Let d be (4/20*6)/(10/(-600)). Let j be (-50)/(-12) + -4*(-3)/d. Let -1/4*m**j - 3/4*m**3 - 3/4*m**2 + 0 - 1/4*m = 0. Calculate m.
-1, 0
Let t(d) = -2*d**4 + 44*d**3 + 94*d**2 - 6*d - 144. Let n = 438 - 440. Let j(s) = -s**3 + s**2 + s. Let y(c) = n*t(c) - 28*j(c). What is k in y(k) = 0?
-2, 1, 18
Let g = 605 - 589. Suppose g = -9*q + 52. Factor 0*y + 8/9*y**3 - 2/3*y**q - 2/9*y**2 + 0.
-2*y**2*(y - 1)*(3*y - 1)/9
Let a(f) be the first derivative of f**4/6 + 14*f**3/3 + 49*f**2 + 686*f/3 - 10265. Factor a(r).
2*(r + 7)**3/3
Let y(a) be the second derivative of 2*a**6/75 - 2*a**5/25 - 16*a**4/15 + 64*a**3/15 + a + 10. What is n in y(n) = 0?
-4, 0, 2, 4
Let t(v) = -v**2 + 4*v + 15. Let s be t(6). Factor 6*d + 2*d - 3*d + d + s*d**2.
3*d*(d + 2)
Let h(l) be the second derivative of -l**5/30 + 5*l**4/4 - 44*l**3/3 + 66*l**2 + 135*l. Let w(k) be the first derivative of h(k). Find u, given that w(u) = 0.
4, 11
Let h(d) be the first derivative of -2*d**5/5 - 67*d**4/2 - 366*d**3 - 1593*d**2 - 3132*d + 1990. Factor h(y).
-2*(y + 3)**3*(y + 58)
Factor -5805/4*c - 6075/4 + 267/4*c**2 - 3/4*c**3.
-3*(c - 45)**2*(c + 1)/4
Suppose -6*b + 38 = 14. Suppose 0 = -6*p + p - l + 25, -b*p + 1 = -3*l. Factor -2*o**3 + 2*o + o**p + 0*o**3 - o**2 + 0*o**3.
o*(o - 2)*(o - 1)*(o + 1)
Solve 5/3*n**3 - 1391/3*n + 398/3 + 988/3*n**2 = 0.
-199, 2/5, 1
Let c(h) be the second derivative of 1/4*h**5 - 2 - 98415/2*h**2 + 3645/2*h**3 - 6*h - 135/4*h**4. What is o in c(o) = 0?
27
Let z(r) = 6*r**3 + 48*r**2 + 9*r - 15. Let f(k) = 13*k**3 + 94*k**2 + 22*k - 29. Let j = -715 - -720. Let l(x) = j*z(x) - 3*f(x). Solve l(v) = 0.
-4, -1, 1/3
Let q(c) be the second derivative of c**4/6 + 118*c**3/3 + 516*c. Solve q(w) = 0 for w.
-118, 0
Let q(p) = -p**3 - 10*p**2 - 13*p + 30. Let t be q(-8). Suppose -n + 35 = t*n. Suppose 0 - 3/2*f**3 - 1/2*f**n + 7/4*f**4 + 1/2*f - 1/4*f**2 = 0. Calculate f.
-1/2, 0, 1, 2
Let b = 2/809 + 789/8090. Let p(x) be the first derivative of -x**2 + 1/8*x**4 - 1 + 0*x - b*x**5 + 2/3*x**3. Factor p(z).
-z*(z - 2)*(z - 1)*(z + 2)/2
Let v(m) be the third derivative of m**5 + 2*m + 0 + 0*m**3 + 7/8*m**4 + 12*m**2 + 2/35*m**7 - 1/112*m**8 + 9/20*m**6. Factor v(q).
-3*q*(q - 7)*(q + 1)**3
Let b(s) be the second derivative of -3*s**5/10 - 25*s**4/48 + 17*s**3/12 + 15*s**2/8 + 594*s + 1. Solve b(z) = 0 for z.
-5/3, -3/8, 1
Solve -117*n**2 - 84*n**3 + 405/2*n - 3*n**4 + 3/2*n**5 + 0 = 0.
-5, -3, 0, 1, 9
Let u(t) be the second derivative of -t**6/30 + 53*t**5/20 + 14*t**4 + 2*t**3/3 - 112*t**2 - 2417*t. Suppose u(g) = 0. Calculate g.
-2, 1, 56
Let v(y) = 6*y - 121. Let n be v(21). Find o such that -40*o**4 - 306*o**5 - 20*o + 620*o**n + 45*o**3 - 339*o**5 + 40*o**2 = 0.
-2, -1, 0, 2/5, 1
Determine u so that 51*u - 18 + 129/2*u**2 + 69/4*u**3 = 0.
-2, 6/23
Let j(v) = v**2 + v - 2. Let b(n) = -2*n**3 - 101*n**2 - 1157*n - 1044. Let i(t) = -b(t) - 7*j(t). Factor i(u).
2*(u + 1)*(u + 23)**2
Factor 294 + 439/3*m - 1/3*m**2.
-(m - 441)*(m + 2)/3
Let f(h) be the third derivative of -h**5/150 + 251*h**4/6 - 315005*h**3/3 + 3*h**2 + 75. Factor f(y).
-2*(y - 1255)**2/5
Let x be (-1486)/(-2229) - (-1)/(-6). Factor x*c**4 + 0*c**3 - c**2 + 1/2 + 0*c.
(c - 1)**2*(c + 1)**2/2
Let 53*k**2 + 10455 + 4177 + 332*k - 20 + 12944 - 52*k**2 = 0. What is k?
-166
Suppose -2*s + 23 = -3*f, 3*s - 7*f + 6*f = 31. Let n = 418 + -258. Factor 255*p**2 - n*p**2 - s*p - 170*p**2.
-5*p*(15*p + 2)
Let h be (-65 - 7101/(-108))*2/9. Determine r, given that -h*r**3 - 7/3*r**2 + 0 - 4*r = 0.
-12, -2, 0
Let i(g) = -16*g**3 + 137*g**2 + 147*g. Let u(p) = -36*p**3 + 273*p**2 + 295*p. Let r(s) = -7*i(s) + 3*u(s). Factor r(t).
4*t*(t - 36)*(t + 1)
Let l(r) be the first derivative of -r**3/5 - 48*r**2/5 - 105*r + 13116. Factor l(f).
-3*(f + 7)*(f + 25)/5
Let f(h) be the second derivative of -h**5/20 - 21*h**4/2 + 86*h**3 - 260*h**2 - h - 1494. Find p, given that f(p) = 0.
-130, 2
Let u(f) be the first derivative of f**5/50 + f**4/15 - f**3/5 + 117*f - 83. Let v(p) be the first derivative of u(p). Let v(a) = 0. Calculate a.
-3, 0, 1
Let q(l) be the first derivative of -3*l**4/28 + 23*l**3/7 - 237*l**2/14 + 171*l/7 + 560. Solve q(v) = 0.
1, 3, 19
Let q = -29 - -33. Let g(x) = q*x - 4 + 2*x**4 + 4 - x**3 - 2*x**2 + 0. Let r(v) = 3*v**4 - 2*v**3 - 3*v**2 + 5*v. Let y(t) = 5*g(t) - 4*r(t). Factor y(b).
-b**2*(b - 2)*(2*b + 1)
Suppose -68*m**3 + 71*m**3 - 133*m - 163*m**2 + 96*m - 155*m + 372 - 20*m**2 = 0. Calculate m.
-2, 1, 62
Let l = -92 + 146. Let y(g) be the first derivative of -8*g + 14*g**2 + 47*g**4 - 1 - 4*g**3 - l*g**4 - 2 + 4*g**5. Factor y(t).
4*(t - 1)**2*(t + 1)*(5*t - 2)
Let d be (-14)/(-30)*(-50)/(-350). Let c(m) be the third derivative of -2/3*m**3 + 0*m - d*m**5 + 0 + 12*m**2 + 1/3*m**4. Solve c(k) = 0.
1
Determine r so that 22*r**4 - 3306*r - 4612/3*r**2 + 316/3*r**3 + 2/3*r**5 - 5054/3 = 0.
-19, -1, 7
Let -2376 + 38*y - 304*y**2 - 8*y**3 + 11*y**3 + y**3 + 2638*y = 0. Calculate y.
1, 9, 66
Let j = 1670059 + -18370617/11. Let 46/11*f - j*f**3 - 6/11 - 80/11*f**2 = 0. What is f?
-3, 1/4
Suppose 2*g - 88 = -4*j, -j - 677 = -5*g - 699. Find y, given that g + 2*y**2 + 3/4*y**3 - 1/4*y**5 - 1/2*y**4 + y = 0.
-2, -1, 0, 2
Let -388/3*s**2 + 0 + 100/3*s**3 + 128*s - 1/3*s**4 = 0. What is s?
0, 2, 96
Let w be 8/(-15) + -43 + (-13923)/(-315). What is m in -w*m**4 + 8*m**3 + 26/3*m**2 + 0 + 0*m = 0?
-1, 0, 13
Let x(m) be the second derivative of m**7/504 - 9*m**5/80 - 3*m**4/8 - 2*m + 138. Solve x(c) = 0 for c.
-3, 0, 6
Suppose 0 = -0*w + 59*w. Let k(d) be the third derivative of w*d + 0*d**3 - 10*d**2 - 1/540*d**6 + 1/90*d**5 + 0*d**4 + 0. Find f such that k(f) = 0.
0, 3
Suppose -3036 = 2*w + 5*s, 0 = -5*w + 3*s - 4*s - 7567. Let j = w + 12125/8. Factor 15/2*z + 3 + 27/4*z**2 + j*z**3 + 3/8*z**4.
3*(z + 1)*(z + 2)**3/8
Let q(j) be the third derivative of -j**7/90 - 19*j**6/45 - 157*j**5/45 + 92*j**4/3 - 32*j**3 + j**2 - 956. What is d in q(d) = 0?
-12, 2/7, 2
Suppose -315*h + 296 + 131 = 66 - 269. Factor 176/9*c - 178/9 + 2/9*c**h.
2*(c - 1)*(c + 89)/9
Suppose 3*g - 193 = 4*u, -3*u - 158 = -5*g + 149. Let 63*c**3 - g*c**3 - 146*c + 1816*c - 184*c**2 + 446*c = 0. Calculate c.
0, 23
Let r = 15411 - 15411. Let b(n) be the third derivative of -7/15*n**5 + 14*n**2 - 1/30*n**6 - n**4 + 0 + r*n + 0*n**3. Factor b(a).
-4*a*(a + 1)*(a + 6)
Let c(a) be the first derivative of 3*a - 1/12*a**3 + 60 - 11/8*a**2. Factor c(n).
-(n - 1)*(n + 12)/4
Factor 2/13*b**2 - 170/13*b + 168/13.
2*(b - 84)*(b - 1)/13
Let s(y) be the second derivative of -y**6/160 + 7*y**4/32 - 3*y**3/4 + 50*y**2 - 3*y + 35. Let j(k) be the first derivative of s(k). Factor j(v).
-3*(v - 2)*(v - 1)*(v + 3)/4
Let i(x) be the second derivative of 3*x**5/5 + 23*x**4/3 - 152*x**3/3 - 120*x**2 - 420*x + 1. Factor i(o).
4*(o - 3)*(o + 10)*(3*o + 2)
Let z(v) be the second derivative of -21/160*v**5 - 1/80*v**6 + 3*v + 6 + 7/16*v**3 + 0*v**2 + 1/32*v**4. Find k, given that z(k) = 0.
-7, -1, 0, 1
Let p(m) be the first derivative of m**4/20 - 8*m**3/5 - 27*m**2/10 + 10*m - 1431. Suppose p(g) = 0. Calculate g.
-2, 1, 25
Factor -84 + 74*m**2 + 96*m**2 - 372*m - 32*m**2 - 111*m**2.
3*(m - 14)*(9*m + 2)
Let c(q) be the third derivative of 0*q + 1/80*q**6 - 1/24*q**4 + 0*q**3 + 1/210*q**7 + 6 + q**2 - 1/40*q**5. Factor c(a).
a*(a - 1)*(a + 2)*(2*a + 1)/2
Let j be 3684/10745 + 4/(-28). Determine u so that u**2 - j*u**3 + 1/5*u - 1 = 0.
-1, 1, 5
Let k be (-23)/460*2 - 3/(-30). Factor 7/6*b**2 - 5/3*b + k - 1/6*b**3.
-b*(b - 5)*(b - 2)/6
Let -7*c**2 + 8*c**2 + 0*c**2 + 1196836 + c**2 + 2188*c - c**2 = 0. What is c?
-1094
Let d(h) be the second derivative of h**6/165 + 7*h**5/110 + 5*h**4/22 + 13*h**3/33 + 4*h**2/11 + 372*h. Factor d(a).
2*(a + 1)**3*(a + 4)/11
Let h(m) be the second derivative of m**5/10 + 1953*m**4/2 + 3814209*m**3 + 7449150177*m**2 - 9003*m. Factor h(g).
2*(g + 1953)**3
Suppose -1183*h = -1159*h - 72. Let l(c) be the first derivative