1404*s**2 - 2807*s + 1390. Let y(x) = 5*b(x) - 8*u(x). Suppose y(d) = 0. What is d?
1, 466
Let h be 13 - (4 + 0 + -6). Let u be 32/h - 10/75. Factor 25 - 31 + 3*l**2 + 0*l**u - 12 + 3*l.
3*(l - 2)*(l + 3)
Factor 1/4*d**4 + 228*d**2 + 37/2*d**3 + 767/4 + 803/2*d.
(d + 1)**2*(d + 13)*(d + 59)/4
Find v, given that 123 + 158 + 37740*v**2 - 2*v**3 + 140*v - 37726*v**2 - 73 = 0.
-4, -2, 13
Let m = 95 + -93. Let z(p) = -12 + 6*p - 4*p**2 + 2*p**2 - 2*p**2 + 6*p**m. Let n(c) = -2*c**2 - 7*c + 12. Let u(x) = -4*n(x) - 5*z(x). Factor u(i).
-2*(i - 2)*(i + 3)
Suppose -l - 4*l = -5*h + 195, 5*l = 15. Let 26*x - 3*x**2 - 2352 + h*x + 100*x = 0. What is x?
28
Let s(u) = -8*u**3 + 15*u**2 + 4*u. Let o be s(2). Suppose -o*x + j + 13 = 0, 4*x + 4 = x - 2*j. Let -2 - 1/2*l**x + 2*l = 0. Calculate l.
2
Let a(j) be the second derivative of -160*j**6/3 + 3192*j**5 - 158401*j**4/3 - 10640*j**3 - 800*j**2 + 1147*j. Factor a(n).
-4*(n - 20)**2*(20*n + 1)**2
Let n(c) be the first derivative of 6*c**3 - 3296*c**2 + 1464*c + 8638. Find t, given that n(t) = 0.
2/9, 366
Let k(n) be the third derivative of -219*n**2 + 6/7*n**3 + 1/420*n**6 + 0 + 0*n + 4/105*n**5 + 1/4*n**4. Let k(q) = 0. Calculate q.
-3, -2
Let h(p) be the third derivative of -p**7/105 - 4*p**6/15 + 9*p**5/5 - 14*p**4/3 + 19*p**3/3 - 2*p**2 - 931*p. What is z in h(z) = 0?
-19, 1
Let u(p) be the third derivative of 12*p**3 + 0*p - 11/30*p**5 - 1/210*p**7 + 11/120*p**6 + 0 - 5/2*p**4 + 36*p**2. Determine i, given that u(i) = 0.
-2, 1, 6
Let w be (-5)/(30/39) - 5/2. Let m be (2184/(-60))/(w/20). Factor -98/9*n**4 + 832/9*n - 128/9 - 376/3*n**2 - m*n**3.
-2*(n + 4)**2*(7*n - 2)**2/9
Let n(m) be the third derivative of 0 + 7/90*m**5 + 11/36*m**4 - m**2 - 19*m + 1/180*m**6 + 5/9*m**3. Factor n(f).
2*(f + 1)**2*(f + 5)/3
Suppose 59*y - 5*y + 756 = 0. Let t be (-80)/(-140)*y/8*-2. What is p in -4/3*p**t + 56/3*p - 196/3 = 0?
7
Let s(z) = -2008*z - 540152. Let m be s(-269). What is n in -2*n**4 + 2/7*n**5 + m*n + 22/7*n**3 - 10/7*n**2 + 0 = 0?
0, 1, 5
Let k(x) be the third derivative of -3/160*x**6 - 48*x**2 + 0 + 0*x - 1/280*x**7 - 17/32*x**4 + 3/16*x**5 + 3/4*x**3. Factor k(v).
-3*(v - 1)**3*(v + 6)/4
Let g(h) be the third derivative of -1/210*h**7 + 1/20*h**5 - 35*h**2 + 2 + 5/24*h**4 - 1/120*h**6 + 1/3*h**3 + 0*h. Factor g(m).
-(m - 2)*(m + 1)**3
Let y = -2/43221 - -57634/129663. Factor -16/3 - y*a**2 + 32/9*a.
-4*(a - 6)*(a - 2)/9
Let n(c) be the first derivative of 0*c + 5/3*c**3 + 0*c**2 - 9/8*c**4 - 71 - 1/10*c**5. Determine u so that n(u) = 0.
-10, 0, 1
Let k = -104 + 110. Let o(n) = n**3 - 6*n**2 + 4*n - 15. Let u be o(k). Factor 3*q - q + 131*q**3 - u + 3 + 6*q**2 - 133*q**3.
-2*(q - 3)*(q - 1)*(q + 1)
Suppose 3*v = -10 + 4. Let c = v + 5. Determine y so that -576 + 606 + 5*y**3 + 5*y - 20*y**2 + 0*y**c = 0.
-1, 2, 3
Find p, given that -83 + 311*p**2 + 2*p**4 - 63*p**3 - 713*p**2 - 469 - 820*p - p**4 = 0.
-2, 69
Let m be (-6)/(-9 + 1 + (14 - 8)). Let k(o) be the first derivative of 32/9*o - 3 - 8/9*o**2 + 2/27*o**m. Solve k(h) = 0 for h.
4
Let m(q) = 28*q**5 - 2924*q**4 + 24*q**2 - 8*q + 8. Let w(t) = 10*t**5 - 975*t**4 + 9*t**2 - 3*t + 3. Let i(l) = -3*m(l) + 8*w(l). Let i(n) = 0. Calculate n.
0, 243
Find p such that -1/12*p**3 + 79/12*p - 10/3 - 19/6*p**2 = 0.
-40, 1
Suppose -y + 9 = -4*y. Let a be 2 + y/((-3)/2). Factor -a*g + 3*g**2 - 4*g**3 - g**2 + 6*g**3.
2*g*(g - 1)*(g + 2)
Suppose -33 = 6*w - 747. Let g = w - 116. Let -21*t**2 + 17*t**2 + 7*t**2 - 3*t**g + 0*t**3 - 12 + 12*t = 0. What is t?
-2, 1, 2
Suppose m + 3*f - 8 = -2, m - 2*f = 6. Let v be (-2)/35*m*728/(-208). Let -2/5*c**3 + 0 - 4/5*c + v*c**2 = 0. What is c?
0, 1, 2
Let t(l) = 27*l**3 - 17403*l**2 + 12603393*l + 8409993. Let k(r) = -24*r**3 + 17402*r**2 - 12603394*r - 8409994. Let o(h) = 14*k(h) + 12*t(h). Factor o(g).
-4*(g - 1450)**2*(3*g + 2)
Let t(i) = i**3 - 3*i**2 - 26*i + 3. Let s be t(0). Let o(d) be the second derivative of 3/80*d**5 + 0 + 7/2*d**s - 9*d**2 + 17/24*d**4 - 31*d. Factor o(h).
(h + 6)**2*(3*h - 2)/4
Let f(i) be the third derivative of -i**5/60 - 41*i**4/6 + 167*i**3/2 - 951*i**2. Factor f(w).
-(w - 3)*(w + 167)
Let r = 309127 + -1545633/5. Factor 32/5 - 32/5*t**2 + 2/5*t - r*t**3.
-2*(t - 1)*(t + 1)*(t + 16)/5
Let q(v) be the first derivative of -v**3 - 18*v**2 + 39*v + 922. Factor q(l).
-3*(l - 1)*(l + 13)
Let v(m) be the second derivative of -1/130*m**5 - 2*m + 9 - 96/13*m**3 - 35/78*m**4 + 324/13*m**2. Factor v(k).
-2*(k - 1)*(k + 18)**2/13
Let y = -499/1665 - -23/74. Let g(z) be the second derivative of 12*z + 0 + y*z**4 + 0*z**2 + 1/9*z**3. Factor g(a).
2*a*(a + 5)/15
Let l(s) be the first derivative of -s**6/2 + 18*s**5/5 - 33*s**4/4 + 6*s**3 - 1841. Determine k, given that l(k) = 0.
0, 1, 2, 3
Suppose -t - 19 = -5*x, -17 = 5*x - 4*x + 5*t. What is o in -16*o**2 + 6745*o - 18*o**2 - 6721*o - 10*o**2 + 16*o**x + 4*o**4 = 0?
-6, 0, 1
Let w be (-29 - -26 - -8) + 18/(-4). Let a(r) be the first derivative of -1/8*r**4 + 1/4*r**2 + w*r - 13 - 1/6*r**3. Suppose a(h) = 0. Calculate h.
-1, 1
Let c(d) = -5*d - 55. Suppose 5*r = -4*w - 34, 0 = -4*r - 0 + 8. Let u be c(w). Find a, given that u + 0*a + 2/11*a**2 = 0.
0
Suppose -4*j + 22 = -2*q - 22, -5*j = 3*q + 44. Let x be (1 - 34)*(2 + q/6). Factor -15*s**4 + s + 5 + 14*s - 5*s**5 - 43*s**3 + x*s**3 + 10*s**2.
-5*(s - 1)*(s + 1)**4
Let w(j) = -j**2 + 23*j - 98. Let b be w(15). Let q be b + -22 + (3 - 0). Factor 0*l**2 - 9/5*l + 6/5 + 3/5*l**q.
3*(l - 1)**2*(l + 2)/5
Let z be ((-231)/99)/(7/(-6)). Determine w so that -13*w**4 + 9*w**5 - 1 - 8*w**5 + 9*w**z + 16*w + 5 - 13*w**3 - 4*w**5 = 0.
-2, -1, -1/3, 1
Factor -61/4*d**3 + 1/4*d**5 - 45*d**2 + 0*d**4 + 0 + 0*d.
d**2*(d - 9)*(d + 4)*(d + 5)/4
Let b be 39/(7*(-5)/(-525)). Let j be (-5)/(-3)*(-13)/(b/(-9)). Factor -j + 5/6*t + 1/6*t**3 - 2/3*t**2.
(t - 2)*(t - 1)**2/6
Let d be (-4)/(((-2)/4)/(75/12)). Let s = d - 45. Suppose 2*b**2 - 2*b**2 + s*b**4 - 90*b - 5*b**2 - 5*b**3 + 95*b = 0. What is b?
-1, 0, 1
Let a(d) be the second derivative of -3*d**5/100 + 208*d**4/5 - 34777*d**3/2 + 103335*d**2 + 10622*d. Factor a(o).
-3*(o - 415)**2*(o - 2)/5
Let p(i) be the first derivative of 31 - i**2 + 2/3*i + 1/2*i**4 - 2/9*i**3. Solve p(b) = 0 for b.
-1, 1/3, 1
Let f be -2*(-11545)/90 + 16/36. Let n = f + -257. Factor n + 2/15*l**2 - 2/15*l.
2*l*(l - 1)/15
Find y, given that 38/7*y**2 - 32/7*y + 2/7*y**4 - 2/7*y**5 - 40/7 + 34/7*y**3 = 0.
-2, -1, 1, 5
Let v(z) be the first derivative of -52/21*z**3 + 90/7*z**2 + 200/7*z - 9/7*z**4 - 4/35*z**5 + 62. Find l, given that v(l) = 0.
-5, -1, 2
Let o(x) = x**3 + 32*x**2 + 2058*x + 72286. Let l be o(-34). Suppose 0 - 1/8*f**l + 13/8*f = 0. What is f?
0, 13
Let h = 8/7 - 12/35. Suppose 4*g - 4 = -y, -3*y + 19117 = 19105. Find p, given that g*p + h*p**2 + 0 - 2/5*p**3 - 2/5*p**4 = 0.
-2, 0, 1
Let g(x) = 11*x**3 - 18*x**2 + 13*x + 49. Let v(a) = 5*a**3 - 10*a**2 + 7*a + 25. Let b = 155 + -162. Let l(d) = b*v(d) + 3*g(d). Factor l(p).
-2*(p - 7)*(p - 2)*(p + 1)
Let y(f) = -45*f - 88. Let i be y(-2). Let x(d) be the first derivative of 0*d - 1/2*d**i - 5/12*d**3 - 1/16*d**4 + 34. Find a such that x(a) = 0.
-4, -1, 0
Let l be (-517)/1 + 2 + 2/(-2). Let i = -4642/9 - l. Factor -4/9*n - 2/9 - i*n**2.
-2*(n + 1)**2/9
Let c be (-136)/612 - (-392)/63. Let q(w) be the third derivative of 1/140*w**7 - 3/40*w**5 - 4*w**2 + 0*w**4 + 1/40*w**c + 0*w + 0 + 0*w**3. Factor q(g).
3*g**2*(g - 1)*(g + 3)/2
Let u be (-13)/4 - ((-28)/98)/(10/140). Factor -u*v**2 + 0 - 6*v.
-3*v*(v + 8)/4
Let o(a) be the first derivative of -a**6/21 - 22*a**5/5 - 795*a**4/7 - 8060*a**3/21 + 1591*a**2/7 + 8214*a/7 + 821. Determine n, given that o(n) = 0.
-37, -3, -1, 1
Let t(i) = i**3 - 7*i**2 + 1. Let g(v) = 12*v**3 - 12*v**2 + 102*v - 152. Let f(y) = g(y) - 10*t(y). Factor f(u).
2*(u - 1)*(u + 3)*(u + 27)
Let r(d) = 7*d**2 - 2676*d + 2669. Let t(f) = -38*f**2 + 13379*f - 13341. Let l(a) = 21*r(a) + 4*t(a). Factor l(h).
-5*(h - 1)*(h + 537)
Let q(v) be the third derivative of v**5/30 - 385*v**4 + 1778700*v**3 + 23*v**2 - 3*v - 38. Solve q(x) = 0 for x.
2310
Factor 21*s**2 - s**2 - 91*s**3 + 15 + 20 + 93*s**3 - 26*s - 79.
2*(s - 2)*(s + 1)*(s + 11)
Suppose 0 = 5*b + 2*c - 2169, 3*b - c = -2*b + 2178. Suppose -b*t + 436*t = 