s(l) = 0?
-4, 0
Let m = 575 - 519. Suppose -3675 - 117*r + 53*r**2 - 93*r - m*r**2 = 0. What is r?
-35
Let z be -5 + 1 + (67 - (1 - -2)). Let u be (-3)/((-4)/(z/9)). Factor 5*c**4 - 12*c + 4*c**4 + 2*c**5 - 4*c**2 - u*c**4 + 10*c.
2*c*(c - 1)*(c + 1)**3
Let v be ((-12)/462*7)/(380/(-3344)). Determine b so that 12/5*b**2 - v*b - 4/5 = 0.
-1/3, 1
Let t be (-480)/(-2364)*5/(-3). Let x = -1/197 - t. Factor -x*m**2 - 2/3*m - 1/3.
-(m + 1)**2/3
Let y(b) be the second derivative of -b**5/90 - 197*b**4/54 + 397*b**3/27 - 199*b**2/9 + 7*b + 9. Factor y(g).
-2*(g - 1)**2*(g + 199)/9
Let i = 195924 - 195885. Factor 121/2 + i*h**2 + 1/2*h**4 + 110*h - 10*h**3.
(h - 11)**2*(h + 1)**2/2
Let h(u) = -u**2 + 14*u - 24. Let j be h(6). Factor 119*m**3 - 15 + 14*m + 69*m**2 - 131*m**3 - 32*m - j*m.
-3*(m - 5)*(m - 1)*(4*m + 1)
What is y in 3*y**3 + 7600*y - 15393*y + 7301*y - 972 + 483*y**2 = 0?
-162, -1, 2
Suppose 2*l - l = 3. Let u(i) = -9*i + 173. Let f be u(19). Factor -1 - d**4 - 2*d**5 - 3*d + d**5 + 2*d + d**3 + f*d**2 + d**l.
-(d - 1)**2*(d + 1)**3
Let d(v) = 2*v**2 + 9*v + 3. Let i be d(-6). Suppose -5*k = -3*h, -k - 3 = 3*h - i. Factor -19*u**2 + 13*u**2 - u**k + 9*u**2.
-u**2*(u - 3)
Let d(f) be the second derivative of -f**4/18 + 236*f**3/9 - 477*f - 1. Factor d(y).
-2*y*(y - 236)/3
Let s be -7 + (-11120)/(-1045) - (-4)/(132/(-9)). What is b in -s - 20/19*b**2 + 64/19*b + 2/19*b**3 = 0?
2, 4
Let q(w) be the first derivative of -2/5*w**5 - 72*w + 60*w**2 - 105 - 26/3*w**3 - 5*w**4. Factor q(u).
-2*(u - 1)**2*(u + 6)**2
Factor 100*b**2 - 140 + 40 - 5060204*b**3 + 5060200*b**3 + 4*b.
-4*(b - 25)*(b - 1)*(b + 1)
Let s(z) be the second derivative of z**5/80 + z**4/16 + z**3/8 + 21*z**2/2 + 60*z. Let x(v) be the first derivative of s(v). Factor x(f).
3*(f + 1)**2/4
Suppose 0 = 172*y + 193*y. Factor -1/5*q**3 - 1/5*q + y - 2/5*q**2.
-q*(q + 1)**2/5
Suppose 2*v - 11 = -3*q, -2*q - 3*v + 16 - 7 = 0. Solve 83*g**5 - 38*g**5 + 13*g**q - 50*g**5 - 18*g**2 + 18*g**4 - 8*g = 0 for g.
-1, -2/5, 0, 1, 4
Let m(v) be the third derivative of 3/50*v**5 - 1/40*v**4 + 1/100*v**6 - 3/350*v**7 - 2*v**2 - 3/10*v**3 - 86 + 0*v - 1/560*v**8. Suppose m(x) = 0. Calculate x.
-3, -1, 1
Let j(u) = 25*u**3 - 3185*u**2 + 12590*u - 12520. Let r(v) = -12*v**3 + 1592*v**2 - 6294*v + 6260. Let d(y) = -7*j(y) - 15*r(y). Let d(k) = 0. What is k?
2, 313
Let c(n) be the third derivative of -1/72*n**6 + 5/72*n**4 + 0*n + 1/36*n**5 + 0 - 1/210*n**7 - 1/9*n**3 + 100*n**2. Find q, given that c(q) = 0.
-2, -1, 1/3, 1
Factor 0 + 978/7*j + 2/7*j**3 + 140*j**2.
2*j*(j + 1)*(j + 489)/7
Let d(k) be the second derivative of 5*k**3 - 777*k**2/2 + 77*k. Let f be d(26). Factor 0*v - 1/5*v**4 - 1/5*v**f + 1/5*v**5 + 0 + 1/5*v**2.
v**2*(v - 1)**2*(v + 1)/5
Suppose 3*h - 4*p = 155, -12*h + 14*h - 4*p - 106 = 0. Suppose 162 + 2*r**2 + 101 + 138 - 18*r + h - 42*r = 0. What is r?
15
Let s(w) be the third derivative of -w**7/42 - 5*w**6/6 + 23*w**5/12 + 35*w**4/4 + 33*w**2 + 14*w. Factor s(t).
-5*t*(t - 2)*(t + 1)*(t + 21)
Let n be 21/(-45)*-3*80/672. Let 0 - n*c - 1/6*c**2 = 0. What is c?
-1, 0
Let l(n) = -4*n**2 + 66*n - 27. Let j be l(16). Solve a**2 + 42 - 2*a - j*a + 3*a + 21*a = 0.
-14, -3
Let v(j) be the first derivative of 181*j**4/2 + 5072*j**3/3 + 8897*j**2 + 196*j - 591. Factor v(n).
2*(n + 7)**2*(181*n + 2)
Let j be (-9)/(36/16) + 9. Let 124*w**4 + 228*w + 1745*w**3 - 48*w - 974*w**4 + 125*w**j - 1020*w**2 = 0. Calculate w.
0, 2/5, 3
Factor -130*g - 175 + 73*g**2 - 234*g**4 + 2*g**3 + 233*g**4 - 25*g**2.
-(g - 5)**2*(g + 1)*(g + 7)
Factor -37/2*w**3 + 1/2*w**4 + 0 - 243/2*w + 279/2*w**2.
w*(w - 27)*(w - 9)*(w - 1)/2
Let t(w) = -36*w - 66. Let i be t(-3). Let q be (-330)/i - 0 - -9. Factor -q*u**3 - 8/7*u - 2/7*u**4 - 12/7*u**2 - 2/7.
-2*(u + 1)**4/7
Let y(s) = 20*s**2 - 2865*s + 112482. Let l(g) = -55*g**2 + 7875*g - 309325. Let f(w) = -9*l(w) - 25*y(w). Factor f(c).
-5*(c - 75)**2
Let 192*c - 4/3*c**4 + 0 + 36*c**3 - 680/3*c**2 = 0. What is c?
0, 1, 8, 18
Determine k, given that -46*k**2 + 122*k**3 + 7/4*k**5 + 201/4*k**4 + 52 - 180*k = 0.
-26, -2, 2/7, 1
Factor 468 - 2313*z**3 - 306*z - 160*z**2 + 1144*z**3 + 1167*z**3.
-2*(z - 1)*(z + 3)*(z + 78)
Suppose -6*w = 18*w + 23*w + 15*w. Let z(g) be the second derivative of w - 22/15*g**4 - 12/5*g**2 + 46/15*g**3 - 5*g + 1/5*g**5. Factor z(a).
4*(a - 3)*(a - 1)*(5*a - 2)/5
Factor -1/2*f**2 + 153/2 - 76*f.
-(f - 1)*(f + 153)/2
Find y, given that 4*y**2 - 8/3*y**4 + 0 + 2/3*y**5 + 2/3*y**3 + 0*y = 0.
-1, 0, 2, 3
Suppose -284/7*c - 80/7*c**2 + 2/7*c**4 - 1/7*c**5 + 288/7 + 75/7*c**3 = 0. Calculate c.
-8, -2, 1, 2, 9
Let c(i) = i**2 + 2*i + 1. Let x(a) = 6*a**2 + 141*a + 495. Let p(g) = 3*c(g) - x(g). Factor p(o).
-3*(o + 4)*(o + 41)
Let t(f) be the third derivative of f**5/120 + 31*f**4/24 - 934*f**2. Factor t(c).
c*(c + 62)/2
Let p = -29 - -35. Let b be -3 + 20/6 - (-94)/p. Suppose -35*u**3 - 8*u**5 - 53*u**3 + b*u + 76*u**3 + 28*u**4 - 32*u**2 = 0. What is u?
-1, 0, 1/2, 2
Let u = -28/2215 - -77861/26580. Let t(g) be the third derivative of u*g**4 + 0 - 245/6*g**3 - 1/12*g**5 + 0*g + 38*g**2. Factor t(j).
-5*(j - 7)**2
Let p be -2*7/((-63)/30)*245/140. Let h(u) be the first derivative of -14 + 0*u - 5*u**2 + 45/4*u**4 - p*u**3. Find g, given that h(g) = 0.
-2/9, 0, 1
Let k(z) = -16*z**3 + 24*z**2 - 45*z + 32. Let h(v) = 28*v**3 - 48*v**2 + 91*v - 64. Let r(c) = -3*h(c) - 5*k(c). Find a, given that r(a) = 0.
2
Let u(z) = -104*z**3 + 194*z**2 + 1714*z - 62208. Let q(o) = -30*o**3 + 64*o**2 + 572*o - 20736. Let v(r) = -7*q(r) + 2*u(r). Factor v(b).
2*(b - 24)**2*(b + 18)
Let s = 495 - 493. Suppose 4*k - 12 = 16. Factor 26*v**2 + 0*v**2 + 105*v + 3*v**3 + k*v**s + 0*v**3 + 75.
3*(v + 1)*(v + 5)**2
Let p be (-5 + 2 - 14/(-4))*(122 + -121). Factor 1 - 3/2*r - p*r**4 + 3/2*r**3 - 1/2*r**2.
-(r - 2)*(r - 1)**2*(r + 1)/2
Let f(a) = -943*a - 39. Let k be f(-1). Let i be (8/10)/(k/120 + -7). Factor 39/4*c**2 - i - 33/4*c.
3*(c - 1)*(13*c + 2)/4
Let g(l) be the first derivative of l**4/6 + l**3 - 4*l**2 + 107*l + 55. Let p(n) be the first derivative of g(n). Factor p(c).
2*(c - 1)*(c + 4)
Let f = 341/8988 + 34/749. Let q(h) be the third derivative of 0 - 1/42*h**7 + 0*h + 0*h**3 + 28*h**2 + 1/24*h**6 + f*h**5 - 5/24*h**4. Factor q(z).
-5*z*(z - 1)**2*(z + 1)
Let w = -475064 + 3331991/7. Let p = w - 933. Factor -15/7*c**4 - 3/7*c**2 + 6/7*c**5 + 0*c + 0 + p*c**3.
3*c**2*(c - 1)**2*(2*c - 1)/7
Let z(i) be the third derivative of i**6/660 - 1449*i**5/55 + 2099601*i**4/11 - 8112858264*i**3/11 - 14*i**2 - 15*i. Factor z(a).
2*(a - 2898)**3/11
Let q be (-31)/(-3) - (0 + 4/(-6)). Let u = q - -4. Solve -2*s**4 - 12*s**3 + 2*s**5 + s - 30*s**2 + u*s + 38*s**2 = 0 for s.
-2, -1, 0, 2
Let -2/3*d**5 - 388/3*d**2 + 44*d**3 - 42 + 2/3*d**4 + 382/3*d = 0. Calculate d.
-9, 1, 7
Let d(y) be the first derivative of y**3 + 876*y**2 + 1749*y - 1229. Determine r, given that d(r) = 0.
-583, -1
Let y = 805 - 3168. Let k = y + 30769/13. Solve -18/13*j**2 - 60/13*j - k = 0 for j.
-5/3
Let v = -1767/10 + 707/4. Let i(f) be the first derivative of 0*f - v*f**2 - 1/30*f**3 + 18. Suppose i(l) = 0. What is l?
-1, 0
Let m(i) be the first derivative of -1/48*i**4 - 7/160*i**5 + 15 + 1/2*i**2 + 7/12*i**3 + 20*i. Let z(k) be the first derivative of m(k). Factor z(p).
-(p - 2)*(p + 2)*(7*p + 2)/8
Let b = -301836 + 301840. Factor -1/2*j + 0 + 7/8*j**2 - 1/8*j**b - 1/4*j**3.
-j*(j - 1)**2*(j + 4)/8
Solve -71/3*h + 1295/3*h**2 - 1225/3*h**3 + 1/3 = 0 for h.
1/35, 1
Let c = 726 + -728. Let j be (c/(-42))/((-7)/(-315)). What is z in 1/7*z**4 + z**3 + 9/7*z + 0 + j*z**2 = 0?
-3, -1, 0
Factor 2301*u**2 + 5076*u**3 + 7024*u + 1568 + 1014*u**2 - 108*u**4 + 7125*u**2.
-4*(u - 49)*(3*u + 2)**3
Let u be (3/(-5))/(81/25470). Let m = u + 568/3. Factor 0*g - 8/3 + m*g**2.
2*(g - 2)*(g + 2)/3
Let u(f) be the first derivative of -f**7/3360 + f**6/60 - 13*f**5/96 + 7*f**4/16 + 205*f**3/3 + 182. Let x(r) be the third derivative of u(r). Factor x(i).
-(i - 21)*(i - 2)*(i - 1)/4
Factor -1/7*p**4 - 179/7 - 538/7*p - 26*p**3 - 540/7*p**2.
-(p + 1)**3*(p + 179)/7
What is i in -4852/3*i + 2/3*i**2 + 2942738/3 = 0?
1213
Let v(t) be the second derivative of t**6/120 - t**5/20 - 3*t**4/8 - 11*t**3/6 + 3*t**2 + 36*t. Let f(g)