9*y + 2/9*y**2.
2*(y + 359)**2/9
Let h be (74188/1904 + -39)*-35. Suppose 0 + h*n**4 - 10*n**3 - 55/2*n - 155/4*n**2 = 0. Calculate n.
-2, -1, 0, 11
Let i(p) be the second derivative of 0*p**3 - 1/12*p**5 + 0*p**4 + 19*p**2 + 3*p + 0. Let y(r) be the first derivative of i(r). Factor y(b).
-5*b**2
Suppose l = 4*i + 6*l - 58, 3*i = 3*l + 30. Suppose -2*b - 20 = -i*b. Find s such that -s**b + 5/2*s**4 - 3/2 + 1/2*s**5 - 7/2*s + 3*s**3 = 0.
-3, -1, 1
Let t(m) be the second derivative of m**5/4 + 100*m**4/3 - 815*m**3/6 + 205*m**2 - 434*m + 1. Let t(f) = 0. What is f?
-82, 1
Let z(l) be the first derivative of 2*l**3/9 - 228*l**2 + 77976*l + 4597. Factor z(n).
2*(n - 342)**2/3
Let w(x) be the third derivative of 2*x**7/315 + 4*x**6/45 + x**5/3 + 101*x**2. Factor w(n).
4*n**2*(n + 3)*(n + 5)/3
Let k(x) = 15*x**5 + 345*x**4 + 255*x**3 + 25*x. Let b(q) = -2*q**5 - 43*q**4 - 32*q**3 - 3*q. Let s(h) = 25*b(h) + 3*k(h). Factor s(p).
-5*p**3*(p + 1)*(p + 7)
Suppose 18*y**4 - 9*y**3 - 421217*y**2 + 0*y**5 + 432 + 6*y**5 - 3*y**5 - 36*y + 421049*y**2 = 0. Calculate y.
-4, -3, 2
Let f(s) = -2*s**2 - 35*s - 48. Suppose 665 = -52*h - 167. Let n be f(h). Suppose 0 - 1/3*c + 1/3*c**3 + n*c**2 = 0. What is c?
-1, 0, 1
Let q be (-8 + 1)*(-101 - -94). Let w be -4 + 210/q + (-80)/525. Suppose 8/15 + 0*j - w*j**2 = 0. Calculate j.
-2, 2
Let n = 4376881/360 - 12158. Let b(y) be the third derivative of 2*y**2 - 5/144*y**4 + 0*y + n*y**5 + 0 + 1/9*y**3. Let b(t) = 0. Calculate t.
1, 4
Suppose 87*v - 189 = 80*v. Find m such that -3*m**5 + 18*m**2 + v*m**4 + 8*m + 45876*m**3 + 61*m - 45 - 45942*m**3 = 0.
-1, 1, 3, 5
Let q(t) be the second derivative of t**8/84 + 2*t**7/15 + 7*t**6/30 - t**5 - 183*t**2/2 - 93*t. Let k(p) be the first derivative of q(p). Factor k(c).
4*c**2*(c - 1)*(c + 3)*(c + 5)
Let m = 795 - 779. Let n be 10*1/(-2) - (-100)/m. Factor -7/4*x - 3/4 - n*x**2 - 1/4*x**3.
-(x + 1)**2*(x + 3)/4
Determine m so that 1/3*m**2 + 32448 - 208*m = 0.
312
Let x(q) be the third derivative of -q**7/105 + q**6/2 + 97*q**5/30 + 11*q**4/2 + 615*q**2. Factor x(d).
-2*d*(d - 33)*(d + 1)*(d + 2)
What is y in -7/8*y**5 - 352*y**2 + 65/4*y**3 + 405/4 - 2043/8*y + 43/4*y**4 = 0?
-5, -1, 2/7, 9
Let h(c) be the second derivative of -5*c**4/12 + 30*c**3 + 185*c**2/2 + 3*c - 87. What is z in h(z) = 0?
-1, 37
Let s(j) = j**3 - 46*j**2 + 367*j - 36. Let g be s(10). Find y such that 38/3*y**3 - 14*y**2 - g*y + 2*y**4 - 28/3 = 0.
-7, -1, -1/3, 2
Let j(h) be the third derivative of -h**8/224 - h**7/3 - 209*h**6/30 - 123*h**5/20 + 3611*h**4/48 - 529*h**3/6 - 1074*h**2. Find b such that j(b) = 0.
-23, -2, 1/3, 1
Suppose -74*t + 4750 = -1614. Suppose 0 = 88*u - t*u - 4. Determine p, given that 864/19*p + 2/19*p**3 + 3456/19 + 72/19*p**u = 0.
-12
Let y = 2075 - 1338. Let l = y + -1471/2. Factor 3/4*v**2 + 3/4*v**4 + 0*v + 0 + l*v**3.
3*v**2*(v + 1)**2/4
Let n(c) = c**2 + 25*c + 36. Let q be (-8)/(-20) - 4/10 - -3. Let x(b) = 24*b + 32. Let r(d) = q*x(d) - 4*n(d). Let r(g) = 0. Calculate g.
-4, -3
Let o(u) = -u**3 - 965*u + 965*u. Let t(n) = 10*n**3 - 4*n**2 - 16*n + 16. Let a(h) = 6*o(h) + t(h). Factor a(z).
4*(z - 2)*(z - 1)*(z + 2)
Suppose 4*v = -30 + 38. Solve v - 24*b + 9 - 12 - 4*b**3 + 18*b**2 + 9 = 0 for b.
1/2, 2
Let f(u) = u**3 - 38*u**2 + 5*u - 469. Let c be f(38). Let j = c - -279. Solve -2/3*h**4 + j*h + 0 + 1/3*h**3 + 0*h**2 = 0 for h.
0, 1/2
Determine d so that -931*d - 3263*d**3 + 0 + 7/2*d**4 + 8381/2*d**2 = 0.
0, 2/7, 1, 931
Let h(r) = -8*r**5 + 183*r**4 + 568*r**3 + 321*r**2 - 56*r. Let c(u) = -u**4 - u**3 + u**2 + u. Let o(k) = -6*c(k) - h(k). What is y in o(y) = 0?
-2, -1, 0, 1/8, 25
Factor 14302*x**2 + 5*x - 14311*x**2 - 2*x**3 + x**3 + 31*x.
-x*(x - 3)*(x + 12)
Let r be ((-2)/5)/(22/(-33)). Let v(x) be the second derivative of 0 + 0*x**4 + 2*x + 0*x**2 + 2/15*x**6 + r*x**5 - 8/3*x**3. Solve v(n) = 0.
-2, 0, 1
Suppose -3*q + 17 = 4*b + 9, 2*q - 3*b + 6 = 0. What is g in 4 + g - 3*g**2 + 26 - 10*g + q*g = 0?
-5, 2
Let z(d) be the third derivative of -d**7/1050 + 53*d**6/100 - 25909*d**5/300 + 8321*d**4/10 - 49298*d**3/15 + 192*d**2 - 5. Determine o, given that z(o) = 0.
2, 157
Suppose -4*s + 9*s = 5*f, 5*s - 15 = 0. Determine l, given that 3*l**5 + 4 + 10*l**4 - 4*l**2 - l**5 - 36*l**2 - 35*l - 10*l**f - 14 + 3*l**5 = 0.
-1, 2
Let s(j) = 4*j**2 + 42*j + 126. Let f be s(-3). Let i be (8/(-28))/((f/7)/(-3)). Factor -i*p**3 + 0*p + 1/6*p**2 + 0.
-p**2*(p - 1)/6
Suppose 4*m = 5*r + 14, r + 35*m - 28*m - 44 = 0. Factor -2/3*p**r - 32/3 - 20/3*p.
-2*(p + 2)*(p + 8)/3
Suppose 77*h - 81*h**3 + 22*h**2 + 42*h**2 - 3*h**5 - 57*h**2 + 7*h - 94*h**2 + 87*h**4 = 0. What is h?
-1, 0, 1, 28
Let t(i) be the first derivative of i**4/8 + 41*i**3/6 - 255*i**2/2 - 3567. Factor t(f).
f*(f - 10)*(f + 51)/2
Suppose w + 0*w - 9 = 0, 10*w = f + 11*w - 11. Factor -9/5*t - 12/5*t**f + 0 - 3/5*t**3.
-3*t*(t + 1)*(t + 3)/5
Factor -2/3*h**4 - 80360*h - 40344 - 119066/3*h**2 + 980/3*h**3.
-2*(h - 246)**2*(h + 1)**2/3
Let x(b) be the third derivative of 0 + 1/3*b**4 + 0*b - 19/270*b**5 + 4/27*b**3 + 89*b**2. Factor x(i).
-2*(i - 2)*(19*i + 2)/9
Let y(r) be the second derivative of -r**4/28 - 8*r**3/7 - 72*r**2/7 + 1961*r. Factor y(s).
-3*(s + 4)*(s + 12)/7
Let b(j) = 9*j**3 + 266*j**2 - 555*j + 276. Let v(m) = 19*m**3 + 531*m**2 - 1110*m + 551. Let s(i) = -9*b(i) + 4*v(i). Determine f, given that s(f) = 0.
-56, 1
Let y(c) = 12*c**3 + 6*c**2 + c + 2. Let g be y(0). Let p = 2299/4 + -571. Let 5 - 5/4*x**g - p*x = 0. What is x?
-4, 1
Let p(q) be the third derivative of q**6/600 - 11*q**5/100 + 97*q**4/60 + 88*q**3/5 + 6322*q**2. Factor p(t).
(t - 24)*(t - 11)*(t + 2)/5
Let r be -6 - 17/((-1836)/608). Let h = r + 266/135. Solve -h*x + 0 - 2/5*x**3 + 2*x**2 = 0 for x.
0, 1, 4
Let s(h) be the second derivative of -91*h - 13/7*h**4 + 153/140*h**5 + 0*h**2 + 1/70*h**6 + 0 + 0*h**3. Factor s(j).
3*j**2*(j - 1)*(j + 52)/7
Let k(l) = -l**3 - l**2 - 31*l + 87. Let w(x) = x**3 + 3*x**2 + 32*x - 91. Let r(f) = -7*k(f) - 6*w(f). Let a be r(9). Factor a*m**2 + 0 + 0*m - 2/15*m**3.
-2*m**3/15
Solve 3177308*d + 2182330*d - 55*d**2 + 11071*d**2 + 4*d**3 + 3094482528 + 4753050*d = 0 for d.
-918
Let 4795*q - 1555*q + 3*q**5 - 3564 - 640*q**3 + 566*q**3 + 3*q**4 - 229*q**3 + 621*q**2 = 0. Calculate q.
-11, -3, 1, 6
Suppose 35 = 36*h - 37*h. Let f be (-5 - -1)*h/70. Factor 2/15*n**3 + 2/15*n**f - 2/15*n - 2/15.
2*(n - 1)*(n + 1)**2/15
Let r(q) be the first derivative of 2*q**5/15 - 3*q**4/4 + 2*q**3/3 - q**2 + 4*q + 46. Let z(s) be the second derivative of r(s). Suppose z(w) = 0. What is w?
1/4, 2
Let h(a) = -10*a**3 - 161*a**2 - 1757*a - 1600. Let u(r) = 162*r**2 + 2733 + 1549*r - r**3 + 9*r**3 - 1133 + 209*r. Let k(w) = -2*h(w) - 3*u(w). Factor k(t).
-4*(t + 1)*(t + 20)**2
Let w be (696/(-210) - 344/(-215))/((-36)/8). Determine s so that 2*s**2 - w*s**3 - 12/7*s - 18/7 = 0.
-3/4, 3
Find o, given that -83433 - 2380403*o - o**2 + 2381893*o + 2*o**2 + 638458 = 0.
-745
Let q(k) be the first derivative of 0*k - 4/5*k**3 + 12/5*k**2 - 9/25*k**5 - 25 - 3/2*k**4. Factor q(x).
-3*x*(x + 2)**2*(3*x - 2)/5
Suppose -24/11*w**2 - 160/11*w - 2/11*w**4 + 0 + 24/11*w**3 = 0. Calculate w.
-2, 0, 4, 10
Let t(l) be the second derivative of l**5/20 + 3917*l**4/36 + 1277921*l**3/18 - 426409*l**2/6 - 5274*l. Factor t(d).
(d + 653)**2*(3*d - 1)/3
Let h(f) be the first derivative of f**4/26 + 110*f**3/13 + 327*f**2/13 + 326*f/13 + 2386. Factor h(n).
2*(n + 1)**2*(n + 163)/13
Factor -16/19 + 22/19*a**2 - 84/19*a.
2*(a - 4)*(11*a + 2)/19
Let x(c) be the second derivative of -c**4/84 - 993*c**3/7 - 8874441*c**2/14 + 28*c - 13. Factor x(w).
-(w + 2979)**2/7
Let w(k) = 39*k**2 - 9*k + 27. Let u be w(2). Solve -u*h**3 + 2*h**4 - 17 - 665*h**2 - 31 + 10*h**4 - 285*h + 251*h**2 = 0.
-1, -1/4, 16
Let k(y) be the third derivative of -y**5/12 - 85*y**4/24 + 500*y**3/3 + 26*y**2 + 8. What is j in k(j) = 0?
-25, 8
Let j(o) be the third derivative of 0*o**7 + 0*o + 0*o**3 + 1/48*o**4 - 4*o**2 - 1/120*o**6 + 0*o**5 + 6 + 1/672*o**8. Factor j(r).
r*(r - 1)**2*(r + 1)**2/2
Let i(n) be the third derivative of n**8/2352 - 27*n**7/490 + 95*n**6/56 + 1247*n**5/60 + 1849*n**4/28 + 89*n**2 + 5. Solve i(h) = 0.
-3, -2, 0, 43
Factor 5*t**2 - t**5 - 32*t**2 - 30*t**3 