p - 1 - p**2. Let y(j) = -3*j**2 - 9*j + 2. Let u(c) = 20*n(c) - 5*y(c). Factor u(q).
-5*(q - 3)*(q - 2)
Let d(q) be the second derivative of q**5/30 - q**4/2 - 34*q**3/9 - 8*q**2 + 2443*q. Find f such that d(f) = 0.
-2, -1, 12
Suppose -3*f - 141 = -150. Suppose 0 = -f*q - 15, -4*c + 9*c - 30 = q. Suppose 0 + 0*m + 1/2*m**2 + m**4 + 5/4*m**3 + 1/4*m**c = 0. What is m?
-2, -1, 0
Suppose 507/5*v - 63/5 + 543/5*v**2 - 27/5*v**3 = 0. What is v?
-1, 1/9, 21
Let x be (190/(-20))/19 + 537/2. Let l = x + -1607/6. Factor 2*p + l*p**3 - p**2 - 4/3.
(p - 2)**3/6
Let y(r) = 2*r**2 - 684*r + 684. Let l be y(1). Suppose -w**4 + 2/3 + 3/2*w + 1/3*w**l - 4/3*w**3 - 1/6*w**5 = 0. What is w?
-4, -1, 1
Let d(a) be the third derivative of a**5/12 + 1135*a**4/3 + 2061160*a**3/3 + 68*a**2. Factor d(n).
5*(n + 908)**2
Factor 0*s - 5*s**2 - 44*s + 1170 + 174 + s**2 + 4*s.
-4*(s - 14)*(s + 24)
Let a(i) = 16*i**2 + 281*i + 88. Let x(q) be the third derivative of -q**5/12 - 31*q**4/8 - 5*q**3 + 8*q**2 + 2. Let y(d) = -4*a(d) - 11*x(d). Factor y(o).
-(o + 11)*(9*o + 2)
What is j in 400/3 - 28/3*j**5 - 268*j**4 - 2716/3*j**2 - 128*j - 2708/3*j**3 = 0?
-25, -2, -1, 2/7
Let u be 1/2 - 2/4. Let q = -343186 - -343188. Solve -3/2 + u*s + 3/8*s**q = 0 for s.
-2, 2
Suppose 338/5 + 16*k**2 - 559/5*k + 1/5*k**5 - 26/5*k**4 + 166/5*k**3 = 0. Calculate k.
-2, 1, 13
Let l be -4 + 12*(-10)/(-20). Let h be (-10)/(-24) + 15/(-20) + 8/12. Factor 0 - i + h*i**l.
i*(i - 3)/3
Let i(u) = 6827*u + 102432. Let x be i(-15). Factor 33/4*t**3 + 3/4*t**4 - 48 + x*t**2 + 12*t.
3*(t - 1)*(t + 4)**3/4
Let s(z) be the second derivative of -3*z**5/20 - 4047*z**4/4 - 5459403*z**3/2 - 7364734647*z**2/2 - 2417*z. Find d such that s(d) = 0.
-1349
Suppose 4*k - 27 = 25. Let i(b) = 2*b**2 - 25*b - 10. Let u be i(k). Let 5226*m + 3*m**4 - 5226*m - u*m**5 = 0. Calculate m.
0, 1
Factor 858*l + 8572/5 + 2/5*l**2.
2*(l + 2)*(l + 2143)/5
Let w = -9202 + 9444. Let i(x) be the second derivative of 8*x - w*x**2 + 0 - 1/3*x**4 + 44/3*x**3. Factor i(r).
-4*(r - 11)**2
Let f(h) be the second derivative of h**7/28 + 47*h**6/300 + h**5/40 - 21*h**4/40 - 2*h**3/15 + h**2/5 - 76*h. Let f(p) = 0. Calculate p.
-2, -1/3, 1/5, 1
What is w in -147/8*w**4 + 1089/2*w**2 + 693/4*w**3 + 267*w + 36 = 0?
-2, -2/7, 12
Let h(z) = z**3 - 31*z**2 - 45*z + 88. Let j be h(33). Let s = j + -778. Find a, given that 18/7*a + 0 - 12/7*a**2 + 2/7*a**s = 0.
0, 3
Suppose -4*p - 3*a = 11, p + 3*a = 5*p - 19. Let k be (p/(-3))/(2 - (-20)/(-9)). Factor 21/4*q + 9/4 + k*q**2.
3*(q + 3)*(2*q + 1)/4
Let g = 1608 + -1599. Let r = -16 + 31. Factor 4*f**2 - f + f - g*f**2 + r*f.
-5*f*(f - 3)
Let c(v) = v - 9. Let m(k) = k**3 + 8*k**2 - 7*k + 27. Let i be m(-9). Let w be c(i). Factor w + 0*b + 12/5*b**2 - 4/5*b**4 + 8/5*b**3.
-4*b**2*(b - 3)*(b + 1)/5
Let g(x) be the third derivative of -2*x**2 + 1/504*x**8 + 1/180*x**6 + 0*x**5 + 4*x - 2/315*x**7 + 0 + 0*x**3 + 0*x**4. Factor g(r).
2*r**3*(r - 1)**2/3
Suppose -4*i + z = -183, -i - 3*z + 81 = i. Factor -13*x**4 - 25*x**2 + 3*x**4 - 5*x**5 + i*x**2 + 30*x**3 - 65*x + 30.
-5*(x - 1)**3*(x + 2)*(x + 3)
Factor 1/6*n**3 + 0 - 141*n**2 - 848/3*n.
n*(n - 848)*(n + 2)/6
Let z(u) = 83*u + 766 + 202 + 161*u + 20*u**2. Let s(h) = -8*h**2 - 97*h - 387. Let g(t) = 12*s(t) + 5*z(t). Factor g(j).
4*(j + 7)**2
Let z be 315/(-1141)*(-36)/90. Let l = 1685/978 + z. Suppose 1/12*w**2 + 121/12 - l*w = 0. What is w?
11
Suppose 5*a = -5*a + 200. Solve 46*u + 80 - a*u**3 - 25*u**4 - 5*u**5 + 99*u + 80*u**2 + 15*u = 0 for u.
-2, -1, 2
Factor 184/7*a**2 - 8/7*a**3 + 100/7 + 260/7*a - 4*a**4 + 4/7*a**5.
4*(a - 5)**2*(a + 1)**3/7
Let v = 5673 - 5669. Let u(x) be the second derivative of 3/8*x**2 - 7/8*x**3 + 3/8*x**v - 2*x + 0. Suppose u(h) = 0. Calculate h.
1/6, 1
Let h = -243064 - -243066. Suppose 2*d**3 + 0 + 16/9*d - 76/9*d**h = 0. Calculate d.
0, 2/9, 4
Let x = 139/5 - 829/30. Let c(g) be the second derivative of 11*g + 0*g**2 + 0 - x*g**3 + 1/12*g**4. Factor c(d).
d*(d - 1)
Determine n, given that 0 + 1/4*n**3 + 67/4*n**2 + 33/2*n = 0.
-66, -1, 0
Let t(f) = -122*f - 106*f + 3 + 211*f. Let v be t(-1). Factor -17*z - 52*z**4 - 12*z**2 - 13*z + 30*z - v*z**5 - 44*z**3.
-4*z**2*(z + 1)**2*(5*z + 3)
Let n(u) be the second derivative of -u**9/15120 + u**8/1680 - u**7/840 + 131*u**4/12 - 272*u. Let d(k) be the third derivative of n(k). Solve d(v) = 0.
0, 1, 3
Let r(f) be the first derivative of f**4/24 + 26*f**3/9 - 93*f**2/4 + 57*f - 3532. Determine t, given that r(t) = 0.
-57, 2, 3
Let l(a) = -493*a - 8872. Let p be l(-18). Let 1/6*u**p - 7/3 - 13/6*u = 0. What is u?
-1, 14
Let i(s) be the third derivative of s**7/70 + 83*s**6/200 + 133*s**5/50 - 3*s**4 - 24*s**2 + 2*s - 13. Find p such that i(p) = 0.
-12, -5, 0, 2/5
Let x(u) be the first derivative of -u**5/35 + 54*u**4/7 - 11446*u**3/21 - 11772*u**2/7 - 11881*u/7 + 2240. Factor x(y).
-(y - 109)**2*(y + 1)**2/7
Let n = 15/172 - -59/3268. Factor n - 4/19*x**2 + 0*x + 2/19*x**4 + 0*x**3.
2*(x - 1)**2*(x + 1)**2/19
Let m(n) = -n**3 + 8*n**2 + 9*n - 7. Let w be m(8). Factor -10*z - 21*z**2 + 11*z**4 - 31*z**4 - w*z**3 - 34*z**2 + 0*z**4.
-5*z*(z + 1)*(z + 2)*(4*z + 1)
Let t(u) be the first derivative of 12*u**4 - 4/5*u**5 - 52*u - 78 + 56/3*u**3 - 24*u**2. Factor t(a).
-4*(a - 13)*(a - 1)*(a + 1)**2
Suppose -50*a**2 + 72 + 238*a - 7/2*a**3 = 0. Calculate a.
-18, -2/7, 4
Let -845402 + 4548*r - 584301 - 293989 - 3*r**2 - 2*r**2 + 2*r**2 = 0. Calculate r.
758
Let c(q) be the first derivative of 51/8*q**4 + 17*q**3 + 48 + 9/10*q**5 + 12*q + 21*q**2. Find s such that c(s) = 0.
-2, -1, -2/3
Suppose -9*m - 2*p + 14 = -7*m, -3*p = 5*m - 31. Factor -m*q**2 + q**2 - 286 + 48*q + 242.
-4*(q - 11)*(q - 1)
Let s(f) be the first derivative of -3*f**5/20 + f**3/2 - 42*f + 9. Let b(c) be the first derivative of s(c). Factor b(x).
-3*x*(x - 1)*(x + 1)
Let p(o) = o**2 - 168*o + 2298. Let z be p(153). Factor 0 - 7/2*f**2 + 9*f - 1/2*f**z.
-f*(f - 2)*(f + 9)/2
Let c(n) = n**3 - 17*n**2 + 17*n - 10. Let m be c(16). Let q + 145*q**2 + 6 - 144*q**2 - m*q = 0. What is q?
2, 3
Let p(b) be the second derivative of -b**5/10 - 11*b**4/9 - 25*b**3/9 - 2*b**2 + 1089*b. Find w, given that p(w) = 0.
-6, -1, -1/3
Let q = -66 - -68. Suppose -12*w = q*w. Factor 0 + 3/5*s**3 - 3/5*s**4 + 0*s**2 + w*s.
-3*s**3*(s - 1)/5
Factor -43/3*l + 1/3*l**2 + 82/3.
(l - 41)*(l - 2)/3
Let y(g) be the third derivative of 0*g**3 + 0*g + 2*g**2 + 1/192*g**8 + 8 + 1/420*g**7 - 1/120*g**5 + 0*g**4 - 7/480*g**6. Determine t, given that y(t) = 0.
-1, -2/7, 0, 1
Let u(q) = -54*q**2 + 21*q + 62. Let r be u(-4). Let v = 887 + r. Let -7*p**5 + 14*p**3 - 7*p - 37/4*p**2 - v + 41/4*p**4 = 0. What is p?
-1, -2/7, -1/4, 1, 2
Determine z, given that 396*z - 46*z**2 - 706 + 58 + 53*z**2 + z**3 - 45*z**2 = 0.
2, 18
Solve -3*f**2 - 9*f - 264 - 346 - 158 + 166*f + 47*f = 0.
4, 64
Let p(d) = 66*d + 122*d**2 - 120*d**2 - 19 - 8 - 41. Let r(m) = m**2 + m - 2. Let u(z) = -p(z) - 2*r(z). Factor u(y).
-4*(y - 1)*(y + 18)
Let t(d) be the second derivative of 0*d**2 - 129*d + 1/9*d**6 + 4/15*d**5 + 2/9*d**4 + 0*d**3 + 1/63*d**7 + 0. Suppose t(m) = 0. Calculate m.
-2, -1, 0
Let m = 258253 + -258243. Let -15/2*z**4 + 5/2*z**3 + 0*z - m + 35/2*z**2 - 5/2*z**5 = 0. Calculate z.
-2, -1, 1
Let q be (-80)/(-20)*((-85858)/(-35336) + -2). Let b = q + -3/631. Factor -2/7*d**2 - 10/7 - b*d.
-2*(d + 1)*(d + 5)/7
Let p = 2756 + -2751. Let d(u) = u**2 - 3*u - 7. Let t be d(5). Factor -3*h**2 - p*h**t + 14*h**2 + 2*h**2 + h**4 - 4*h - 5*h**2.
h*(h - 2)**2*(h - 1)
Let w(a) be the first derivative of -1331*a**6/16 - 174603*a**5/20 - 1884795*a**4/8 + 174241*a**3 - 47784*a**2 + 5808*a - 821. Factor w(g).
-3*(g + 44)**2*(11*g - 2)**3/8
Suppose 2*p = r - 409, 0 = r + 2*p - 358 - 39. Suppose -58*b + r - 113 = 0. What is j in 6/7*j - 9*j**2 + 39/7*j**4 - 9/7*j**b + 3/7*j**3 + 24/7 = 0?
-1, -2/3, 1, 4
Let j(g) = -2*g + 24. Let d be (0 - -3)*(-88)/(-33). Let c be j(d). Let -6*o**3 - 7*o**3 + c*o**3 = 0. What is o?
0
Suppose 2245*t - 288 = 2229*t. Let d(j) be the third derivative of t*j**2 + 0*j**4 + 0 + 0*j**3 + 1/180*j**5 + 0*j. Solve d(n) = 0.
0
Let b(s) be the third derivative of 5*s**8/336 - 73*s**7/14 + 4033*s**6/8 - 11881*s**5/12 - 2*s**2 - 582*s. Determine m, given that b(m) 