ose z(s) = 0. What is s?
-1, 0
Let v(t) = 3*t + 42. Let a be (-4 - -2) + -21 + 9. Let i be v(a). Factor i + 3/2*j - 27/2*j**2 + 30*j**3.
3*j*(4*j - 1)*(5*j - 1)/2
Let z be (-1)/(-2) + (-108)/8. Let q = -8 - z. Suppose -w - 68*w**2 + 70*w**2 + q*w = 0. Calculate w.
-2, 0
Let r(q) = -5*q**3 + 5*q**2 + 15*q - 36. Let b(i) = -7 + 4*i**2 + 18*i - 23*i**3 - 18*i**3 + 35*i**3 - 29. Let y(l) = -3*b(l) + 4*r(l). Factor y(j).
-2*(j - 3)**2*(j + 2)
Let w(d) be the first derivative of -d**6/3 + 36*d**5 + 183*d**4/2 + 184*d**3/3 - 4036. Factor w(r).
-2*r**2*(r - 92)*(r + 1)**2
Let k be (4/(-10))/(((-210)/(-1100))/21). Let m(t) = 5*t**3 + 5*t**2 - 3*t + 15. Let j(q) = 0*q**2 + 3 - 2 + q**2. Let n(i) = k*j(i) + 4*m(i). Factor n(u).
4*(u - 1)**2*(5*u + 4)
Factor 2/7*j**2 + 24/7*j - 90/7.
2*(j - 3)*(j + 15)/7
Suppose -52*h + 25 = -98 - 33. Determine q, given that -7/5*q**h + 7/5*q**2 + 0 - 2/5*q + 2/5*q**4 = 0.
0, 1/2, 1, 2
Let n(i) be the third derivative of 1/112*i**8 + 0*i + 0*i**3 + 7/60*i**5 - 1/30*i**7 - 3/40*i**6 - 54*i**2 + 0 + 1/4*i**4. Suppose n(q) = 0. Calculate q.
-1, -2/3, 0, 1, 3
Let p = 710 + -474. Let f = 1905/8 - p. Solve -5/8*l**3 - f*l**2 + 0 - 3/4*l = 0 for l.
-3, -2/5, 0
Let x(r) be the first derivative of r**4/26 - 1850*r**3/13 + 2566875*r**2/13 - 1582906250*r/13 - 1825. Factor x(c).
2*(c - 925)**3/13
Let p(k) be the second derivative of 0*k**3 + 1/100*k**5 + 0 - 204*k + 1/20*k**4 - 2/5*k**2. Factor p(s).
(s - 1)*(s + 2)**2/5
Let a be (-33)/((-341)/31)*(-4)/(-28). Find b, given that a + 2*b**2 + 17/7*b = 0.
-1, -3/14
Let x be 14/(-4) - 24/(-36)*(-4 - -25). Factor -3/2*r**3 - 9 + x*r + 0*r**2.
-3*(r - 2)*(r - 1)*(r + 3)/2
Let 3*w**3 - 428 + 15*w**2 - 174*w - 782 + 1474 = 0. Calculate w.
-11, 2, 4
Let h(u) = 11*u**5 + 28*u**4 - 72*u**3 - 307*u**2 - 288*u. Let s(w) = -6*w**5 - 15*w**4 + 36*w**3 + 153*w**2 + 144*w. Let v(f) = 3*h(f) + 5*s(f). Factor v(t).
3*t*(t - 4)*(t + 2)**2*(t + 3)
Let n(j) be the third derivative of j**6/420 - 23*j**5/210 + 143*j**4/84 - 121*j**3/21 - 810*j**2. Factor n(d).
2*(d - 11)**2*(d - 1)/7
Let m(z) = -5*z**3 - z**2. Let i(x) be the first derivative of -3*x**4/2 - 74. Let w(o) = 5*i(o) - 4*m(o). Factor w(p).
-2*p**2*(5*p - 2)
Suppose -5*w - 382 = -677. Factor 184*p - 3*p**2 + 1308 + 13*p - p**2 - 5404 + w*p.
-4*(p - 32)**2
What is r in 15*r - 1218*r**2 - 19*r + 1219*r**2 = 0?
0, 4
Let x(a) = -18*a**3 - a**2 + 25*a - 17. Let p(w) = -w**3 + w**2 - 1. Let l = 45 - 1. Let s(d) = l*p(d) - 4*x(d). Factor s(j).
4*(j - 1)*(j + 3)*(7*j - 2)
Let n(x) be the second derivative of 1/8*x**5 - 48*x + 0*x**4 + 1/72*x**6 + 0 + 7/2*x**3 + 0*x**2. Let f(z) be the second derivative of n(z). Factor f(c).
5*c*(c + 3)
Suppose -l + 248 + 255 = i, 3*l = 3*i - 1509. Let v = -501 + i. Factor 0 - 4/5*g + 14/5*g**v + 2*g**4 - 18/5*g**3 - 2/5*g**5.
-2*g*(g - 2)*(g - 1)**3/5
Suppose -170*o + 2*r + 19 = -169*o, 82 = 5*o + 3*r. Factor o*f - 289/2 - 1/2*f**2.
-(f - 17)**2/2
Let i be 1/((-6)/4) - (15 - (-23114)/(-390) - -30). Factor 2/5*g**2 + i*g + 128/5.
2*(g + 2)*(g + 32)/5
Let j = 3398464/11 + -308950. Suppose 16/11*h + j*h**2 - 10/11*h**3 - 8/11 = 0. Calculate h.
-1, 2/5, 2
Suppose -298 = -5*b + 4*b. Let d = b + -2068/7. Factor -27/7 + d*a - 3/7*a**2.
-3*(a - 3)**2/7
Let u(d) = -1945*d**2 + 46210*d - 272235. Let c(n) = 974*n**2 - 23104*n + 136119. Let l(i) = 5*c(i) + 2*u(i). Factor l(a).
5*(14*a - 165)**2
Let i(u) = -1278*u + 44732. Let z be i(35). Factor -26/15*g**z - 28/15*g - 2/15.
-2*(g + 1)*(13*g + 1)/15
Let f(j) be the second derivative of -53*j + 2/33*j**3 - 1/66*j**4 + 0 + 0*j**2. Factor f(z).
-2*z*(z - 2)/11
Let t = 22 + -10. Suppose 3*n - 48 = -3*a, -2*n + t = a - 5*n. Factor a*i - 2 + 15*i + 10*i**3 - 22*i**2 - 16*i.
2*(i - 1)**2*(5*i - 1)
Let s(k) be the first derivative of 8*k**5/5 + 19*k**4/6 + 4*k**3/9 - 5*k**2/3 - 488. Let s(u) = 0. Calculate u.
-1, 0, 5/12
Solve 368*c + 529/2 + 128*c**2 = 0 for c.
-23/16
Let s(r) be the third derivative of -91*r**2 - 71/180*r**5 + 0 + 1/126*r**7 + 0*r - 1/30*r**6 + 0*r**3 + 5/12*r**4. What is g in s(g) = 0?
-3, 0, 2/5, 5
Factor 264*f + 57*f - 3 + 211*f + 57*f - 40368*f**2 + 107*f.
-3*(116*f - 1)**2
Suppose 8*t + 4 - 20 = 0. Suppose -30 = -4*z + t*z. Factor 35*b**2 - z*b**3 + 11*b**3 - 7*b**2 + 36 - 60*b.
-4*(b - 3)**2*(b - 1)
Let i(c) be the second derivative of -c**6/120 + c**5/4 + 11*c**4/8 + 17*c**3/6 + 23*c**2/8 - 1155*c. Suppose i(z) = 0. Calculate z.
-1, 23
Let u(c) be the second derivative of c**9/3780 + c**8/560 - c**6/45 + 19*c**4/3 + 8*c. Let a(j) be the third derivative of u(j). Factor a(s).
4*s*(s - 1)*(s + 2)**2
Let k be 28/(-168)*(-2)/90. Let m(s) be the second derivative of k*s**6 + 0*s**2 + 1/9*s**4 + 4/27*s**3 + 1/30*s**5 + 0 - 16*s. Factor m(x).
x*(x + 2)**3/9
Let k = -20 - -5. Let i be (-50 + -1)*15/k. Determine d, given that 54*d + 3*d**4 - 2*d**2 - 3*d**3 - d**2 - i*d = 0.
-1, 0, 1
Let l(n) be the second derivative of n**5/10 - 77*n**4/6 - 163*n**3 - 747*n**2 - 1691*n. Factor l(v).
2*(v - 83)*(v + 3)**2
Suppose -10*a + 11*a + 9 = 0. Let w(d) = -5*d - 36. Let o be w(a). Factor 27 - l - 10 + 2*l**2 - o - 9*l.
2*(l - 4)*(l - 1)
Factor -90 + 272 + 89*f + 268*f**2 - 269*f**2.
-(f - 91)*(f + 2)
Let x = -179 - -173. Let o be (-21)/(x - (-144)/28). Factor 7*q - o - 1/2*q**2.
-(q - 7)**2/2
Determine x so that 850/3*x - 851/3 + 1/3*x**2 = 0.
-851, 1
Factor 73 + 221/6*g + 1/6*g**2.
(g + 2)*(g + 219)/6
Factor -1819*s + 1480*s + 284*s + 3*s**2 - 2715*s - 2492*s + 2307387.
3*(s - 877)**2
Let 35 + 379*v - 176*v - 70*v - 109*v + 160*v**2 - 60*v**3 - 159*v = 0. What is v?
1/2, 1, 7/6
Let j = 37 - 33. Let q be (j/(-24))/((-129)/(-12) + -11). Find k such that 0 + q*k - 2/9*k**2 = 0.
0, 3
Let x(g) = 2*g**3 + 23*g**2 - 111*g + 243. Let h(d) = d**3 + 11*d**2 - 57*d + 121. Let k(j) = -9*h(j) + 4*x(j). Suppose k(v) = 0. Calculate v.
-13, 3
Let t(r) = r**3 + 64*r**2 - 399*r + 614. Let m(b) = -14*b**3 - 897*b**2 + 5586*b - 8597. Let c(y) = 2*m(y) + 29*t(y). Factor c(l).
(l - 3)**2*(l + 68)
Factor 10/9*j**2 + 2/9*j**3 + 0 - 28*j.
2*j*(j - 9)*(j + 14)/9
Factor 2666722 - 962924 + n**3 + 442527*n + 2079216*n + 3807*n**2 - 632*n**2 + 814771.
(n + 1)*(n + 1587)**2
Suppose -16*l**2 + 12*l**5 + 981*l**3 + 6*l - 5*l**2 - 999*l**3 + 21*l**4 = 0. What is l?
-2, -1, 0, 1/4, 1
Let n(b) = 3*b**3 - 46*b**2 - 29*b - 52. Let w be n(16). Let y be (1/w)/((-103)/618). Factor -y*h**3 + 15/2*h + 6*h**2 + 0.
-3*h*(h - 5)*(h + 1)/2
Find w such that -204*w**2 + 3/7*w**3 + 2847/7*w - 1422/7 = 0.
1, 474
Let q(t) be the first derivative of t**7/168 - t**6/72 - 5*t**5/24 - 5*t**4/8 + 7*t**3/3 + t**2 + 27. Let x(a) be the third derivative of q(a). Factor x(j).
5*(j - 3)*(j + 1)**2
Let w(x) be the second derivative of -x**7/4620 + x**5/220 + x**4/66 + 7*x**3/6 - 7*x**2/2 - 3*x - 9. Let l(v) be the second derivative of w(v). Factor l(b).
-2*(b - 2)*(b + 1)**2/11
Suppose 0 = 6*j + 3*j - 45. Suppose -j*y - 14 = -3*s, 2*y - 7 = -2*s - s. Factor 0*x**3 + 10*x + 14*x**2 - 19*x**2 - 5*x**s.
-5*x*(x - 1)*(x + 2)
Let y be (-875)/750 - (-5 + (-2434812)/8). Factor 154*h**2 + y - 11858*h - 2/3*h**3.
-2*(h - 77)**3/3
Suppose -41*j = -64*j + 92. Suppose w = 5*y - 20, -j*w + 35 = -3*y + 47. Factor -12/7*s**3 + 0*s**y - 6/7*s + 0 + 2/7*s**5 - 16/7*s**2.
2*s*(s - 3)*(s + 1)**3/7
Let k(j) = -j**2 - 3*j. Let t be k(-2). Let s(l) = -55*l + 554. Let f be s(10). Let -4*b - t*b + f*b + b**2 + 1 = 0. What is b?
1
Let x(d) = d**3 - 25*d**2 + 84*d + 3. Let b be x(21). Let v be ((-4)/48)/(b - (-14)/(-4)). Suppose -1 + 1/6*a**2 + v*a = 0. What is a?
-3, 2
Let x be (6*18/(-4536))/(12/(-21)). Let r(t) be the second derivative of 3/2*t**2 - 1/12*t**3 + 26*t + 0 - x*t**4. Factor r(z).
-(z - 2)*(z + 3)/2
Let f(p) be the third derivative of 17/15*p**5 - 40/3*p**3 + 0*p + 0 + 0*p**7 - 1/168*p**8 - p**4 - 35*p**2 + 19/60*p**6. Factor f(g).
-2*(g - 5)*(g - 1)*(g + 2)**3
Suppose 0 + 688/5*a - 2068/5*a**2 + 872/5*a**3 - a**4 = 0. What is a?
0, 2/5, 2, 172
Let v be (61 - 57)/(1 - -6 - 6). Find h, given that -h**3 - 1/4*h**v + 10*h + 13/4*h**2 - 12 = 0.
-4, 1, 3
Let j = -341777/3 - -113926. Factor -i**2 - j*i**3 + 1 + 1/3*i.
-(i - 1)*(i + 1)*(i + 3)/3
Factor -24/11*l - 2/11 + 26/11*l**2.
2*(l - 1)*(13*l + 1)/11
Let q = -684081 - -684093. What is x in 126 + 2/7*x**