2)*(-3 - (-1 - 0)). Let y be g/((-81)/(-36)) + 11/2. Solve 3/2*z + 3 - y*z**2 = 0.
-1, 2
Let t be ((-99505)/32389 + 3)*-4. Let i = t - 2/661. Factor 8/7*v + i*v**2 - 10/7.
2*(v - 1)*(v + 5)/7
Let y(u) be the second derivative of 41 - 1/2*u**4 + 1/14*u**7 + 3*u**2 - 3/5*u**5 + u + 3/2*u**3 + 0*u**6. Factor y(k).
3*(k - 2)*(k - 1)*(k + 1)**3
Suppose 0 = 4*j - 2*j - 7 + 3. Factor -270*v - 2/5*v**3 + 1350 + 18*v**j.
-2*(v - 15)**3/5
Let p = -1358 - -13581/10. Let h(f) be the second derivative of -p*f**2 - 12*f - 1/15*f**3 + 0 - 1/60*f**4. What is a in h(a) = 0?
-1
Let l(v) be the first derivative of 1/24*v**4 + 9/2*v**2 - 1/15*v**3 + 1/25*v**5 + 0*v + 15. Let u(x) be the second derivative of l(x). Factor u(f).
(3*f + 2)*(4*f - 1)/5
Let b(h) = h**3 + 76*h**2 + 6*h + 6. Let j(l) = -l - 1. Let k be 705/(-94)*(-8)/10. Let s(d) = k*j(d) + b(d). Solve s(q) = 0 for q.
-76, 0
Find b such that 1891*b + 1328*b**3 + 12*b**4 - 163*b + 16936*b**2 - 13464*b**2 = 0.
-108, -2, -2/3, 0
Let q(l) be the first derivative of 1/3*l**3 + 625*l - 25*l**2 - 165. Suppose q(w) = 0. What is w?
25
Let l = -2259/4 + 62123/110. Let d(g) be the third derivative of 0 - 3/44*g**4 - 23*g**2 - l*g**6 + 0*g - 9/11*g**3 + 1/22*g**5. Factor d(w).
-6*(w - 3)**2*(w + 1)/11
Suppose 3*k - 22 = -4*z, 26 = 5*z + 2*k + k. Suppose -z*a + 5 = -3. Factor 6 - 4 + 0*j**2 - 6 + 2*j**2 - a*j.
2*(j - 2)*(j + 1)
Let t(c) be the first derivative of 7*c**4 + 440*c**3/3 - 1184*c**2 + 640*c + 461. Solve t(g) = 0 for g.
-20, 2/7, 4
Let p(h) be the second derivative of -7/120*h**4 + 1/200*h**5 - 124*h - 3/10*h**3 + 0*h**2 + 0. Find q, given that p(q) = 0.
-2, 0, 9
Let p(t) be the second derivative of 4*t**5/5 - 38*t**3/3 + 24*t**2 + 98*t. Let o(c) = c**3 + c**2 - 5*c. Let i(g) = -12*o(g) + p(g). Factor i(l).
4*(l - 3)*(l - 2)*(l + 2)
Let x(p) be the second derivative of -p**5/90 + 164*p**4/27 - 4*p - 858. What is f in x(f) = 0?
0, 328
Suppose -74*t + 71*t + 60 = 0. Let k be (-9)/((-126)/(-56)) + t/3. Factor 2/3*l**2 + k + 8/3*l.
2*(l + 2)**2/3
Factor 1005*x - 562*x**2 + 2030 - 361*x**2 + 918*x**2.
-5*(x - 203)*(x + 2)
Let k(g) = -14*g - 516. Let f be k(-37). Suppose f*j + 18 = r + 24, 2*j + 3*r = -2. Factor 2/3*z**2 - 8/3 + j*z.
2*(z - 1)*(z + 4)/3
Let t(j) be the first derivative of j**7/42 - j**6/3 + 7*j**5/4 - 55*j**4/12 + 20*j**3/3 - 18*j**2 + 50. Let k(y) be the second derivative of t(y). Factor k(u).
5*(u - 4)*(u - 2)*(u - 1)**2
Factor -2290*h - 4*h**2 - 10822168 + 4464*h + 6314*h + 2240*h + 3629044.
-4*(h - 1341)**2
Suppose 0 = 5*o - 3*y + 228, y = 8*o - 7*o + 44. Let m be (-3 - o/18)/((-1)/12). Factor m*n**2 + 2*n**3 + n**4 - 3*n**4 + 12 - 12.
-2*n**2*(n - 2)*(n + 1)
Let p be 5 + -4 - (4 - (-3068 - 7)). Let a be (p/225)/2 + 7. Suppose a - 2/25*l**2 + 2/25*l = 0. Calculate l.
-1, 2
Let x(u) be the second derivative of -7/40*u**5 + 41*u + 0*u**2 + 5/3*u**3 - 1/120*u**6 + 0 + u**4. Let f(k) be the second derivative of x(k). Factor f(o).
-3*(o - 1)*(o + 8)
Suppose 0 = -i - 7 + 13. Suppose -s - 3*s + o + 7 = 0, -i = -s - 4*o. Factor -4*k**4 - 54*k**3 + 10*k**5 + 28*k**3 - 11 - 62*k**s - 40*k + 3 + 18*k**4.
2*(k - 2)*(k + 1)**3*(5*k + 2)
Let b(t) = 11*t + 1. Let j be b(1). Suppose -j = -5*z + 48. Factor -7*i**2 + 5*i**4 - 2*i**4 - z*i**3 + 19*i**2.
3*i**2*(i - 2)**2
Suppose -207*v**2 - 66981 + 3*v**3 + 180*v + 66201 + 384*v + 228*v = 0. Calculate v.
2, 65
Factor 16*w - 116*w**3 + 24 - 15 - 9 + 98*w**2 - 322*w**2.
-4*w*(w + 2)*(29*w - 2)
Factor 21*l + 135/2 + 3/2*l**2.
3*(l + 5)*(l + 9)/2
Determine o so that -195/2*o**2 - 3/2*o**3 - 201/2 + 399/2*o = 0.
-67, 1
Let c be (33/44)/((-2)/(-24)). Let q(a) = -a**3 - 18*a + c*a + 8*a - a**2. Let b(j) = -7*j**3 - 7*j**2 - j + 3. Let w(v) = -b(v) + 4*q(v). Factor w(p).
3*(p - 1)*(p + 1)**2
Determine f, given that 859*f + 450*f**2 - 424*f + 4*f**3 + 1441 + f**3 - 2331 = 0.
-89, -2, 1
Factor -4*i**4 + 144*i**2 - 352*i + 4*i**3 - 12*i**3 + 125174 - 124918.
-4*(i - 2)**3*(i + 8)
Let c(t) = -2*t**2 - 313*t - 3198. Let d be c(-11). Factor 9*j**2 + 483/5*j + 1/5*j**d - 529/5.
(j - 1)*(j + 23)**2/5
Solve -24 - 32*o - 17/2*o**2 - 1/2*o**3 = 0 for o.
-12, -4, -1
Suppose 3*w - 2*x + 21 = -21, -w - x - 9 = 0. Let l = w - -16. Factor -2*n**5 - 60*n - 4 + 3*n**5 + 7*n**3 - n**2 + 52*n + 5*n**l.
(n - 1)*(n + 1)**2*(n + 2)**2
Let l be (1956/(-2445))/((-22)/75). Let m(w) be the first derivative of -6/11*w**3 - 25 + 48/11*w + l*w**2. Let m(s) = 0. Calculate s.
-2/3, 4
Suppose -31 + 1 = -6*r. Let 2*o**3 + 6*o**2 + 285 - 301 + r*o - 3*o - 14*o = 0. What is o?
-4, -1, 2
Solve -1913 + 22*g**5 - 155*g**4 + 3860 + 320*g**3 - 1922 + 20*g - 2*g**5 - 230*g**2 = 0.
-1/4, 1, 5
Let x(s) = 20*s**5 + 34*s**4 - 12*s**3 - 64*s**2 - 110*s + 18. Let i(j) = -j**5 - j**4 + j**3 + 3*j - 1. Let c(h) = -36*i(h) - 2*x(h). Solve c(q) = 0 for q.
-7, -2, -1, 0, 2
Let w(k) be the third derivative of -1/120*k**6 - 11*k**2 - 1/4*k**5 + 0*k - 2 - 9/8*k**4 + 81/2*k**3. Factor w(h).
-(h - 3)*(h + 9)**2
Let r(x) = -x**2 - 23*x + 144. Let d be r(-28). Find j such that 125*j**d + 5*j**5 - 130*j**3 - 36015 + 25906*j**2 - 23456*j**2 + 1180*j**3 - 8575*j = 0.
-7, 3
Suppose 33 = v + 4*u, -54 = -3*v - 0*u - 3*u. Factor 22*f**2 + 5 + v*f + 7*f - 25 - 27*f**2.
-5*(f - 2)**2
Let y = -2105 - -2108. Let g = 1 + -1. Factor -1 - 2*r + g + 58*r**2 + 2*r**y + r**4 - 58*r**2.
(r - 1)*(r + 1)**3
Let b = 339 - 263. Solve -3*z**2 - b*z + 117 - 60*z + 186*z - 80*z = 0.
-13, 3
Let a(k) be the second derivative of k**5/2 - 29*k**4/12 - 44*k**3/3 - 49*k**2/2 - 2*k + 3412. Factor a(c).
(c + 1)**2*(10*c - 49)
Let h(y) = y**3 + 5*y**2 - 2*y - 1. Let u be h(1). Let i(b) be the first derivative of 0*b + 2 - 1/2*b**4 - 3*b**2 + 8/3*b**u. Solve i(g) = 0 for g.
0, 1, 3
Let w(b) be the first derivative of 1250*b**3/3 + 2*b**2/3 + 631. Find s such that w(s) = 0.
-2/1875, 0
Let k be ((-104)/(-78))/((-1)/3). Let r be (-4)/k - (7 - (-95)/(-15)). Factor -1/6*c**2 + r*c + 0.
-c*(c - 2)/6
Let r(f) = -f + 28. Let q be r(22). Let w(g) = -2*g - 1. Let s(y) = -3*y**2 - 6*y - 18. Let a(d) = q*w(d) + s(d). Suppose a(p) = 0. Calculate p.
-4, -2
Let j be 80/100 + (-56)/5*-1. Let t(v) be the second derivative of j*v**2 + 23*v - 51/20*v**5 + 3/10*v**6 - 14*v**3 + 17/2*v**4 + 0. Factor t(b).
3*(b - 2)**2*(b - 1)*(3*b - 2)
Let 2185*c - 595469 + 590179 - 3*c**3 + 8*c**3 + 220*c**2 = 0. What is c?
-23, 2
Factor -80*n**2 + 270*n**3 - 350 + 346*n - 135*n**3 - 51*n + 10*n**2 - 130*n**3.
5*(n - 7)*(n - 5)*(n - 2)
Let r = 109912 - 219823/2. Factor 1/2 - 1/2*i**3 - 1/2*i**2 + r*i.
-(i - 1)*(i + 1)**2/2
Suppose 2*n + 2*n = -2*y + 6, -9 = -3*y - 4*n. What is m in 1176*m + 3031 + 3*m**y + 84*m**2 - m**3 + 2457 = 0?
-14
Let s(j) be the third derivative of -64*j**7/105 - 268*j**6/15 - 47*j**5/2 + 1057*j**4/12 + 784*j**3/3 + 8293*j**2. Let s(t) = 0. What is t?
-16, -7/8, 1
Let v(a) be the first derivative of a**4/10 - 22*a**3/15 - 4*a**2/5 + 88*a/5 - 3648. Factor v(x).
2*(x - 11)*(x - 2)*(x + 2)/5
Let s be -3*1 + 0 + -1. Let h be (s/(-3))/((-8)/(-12)). Find q such that 6*q**3 - 6*q**3 - q**h + 4*q**2 - 6*q + 9*q**3 = 0.
-1, 0, 2/3
Let d be 639/(-160) + 16/((-6)/(-2) + 1). Let o(i) be the third derivative of 0*i - 24*i**2 + d*i**5 + 0 + 9/32*i**4 + 81/16*i**3. Determine w so that o(w) = 0.
-9
Suppose 6*n - 16*n**2 + 256 - 4*n - 4*n**3 + 5*n - 240*n**2 - 3*n = 0. What is n?
-64, -1, 1
Let v(k) be the second derivative of k**4/4 + k**3 + 3*k**2/2 + 874*k. Factor v(r).
3*(r + 1)**2
Factor 511/2*z**3 + 16473/4*z - 27/2*z**4 - 4913/2 + 1/4*z**5 - 1904*z**2.
(z - 17)**3*(z - 2)*(z - 1)/4
Suppose -f = -3*b - 15, 20 = 2*f + b - 17. Let i be (-3)/f*(-40)/(-45)*-3. Factor -i*p + 0 - 4/9*p**2.
-4*p*(p + 1)/9
Let a(x) be the third derivative of x**7/70 - 7*x**6/20 - 33*x**5/20 + 7*x**4/4 + 16*x**3 + 7*x**2 + 2*x + 214. Let a(j) = 0. Calculate j.
-2, -1, 1, 16
Suppose 0 = 9*r - 14*r + 100. Suppose 16*v**4 + 4*v**2 - 12*v**4 + 8*v**3 - r + 20 = 0. What is v?
-1, 0
Let s be (-1 - -17) + (-75)/((-30600)/(-6384)). Find i such that 2/17*i**3 - s*i**2 + 0 + 4/17*i = 0.
0, 1, 2
Suppose 0 = 764*c - 783*c + 76. Let q(p) be the first derivative of -12*p**2 - 25/4*p**6 - 32*p**3 - 29 + 24*p**5 + 0*p - 9*p**c. Factor q(n).
-3*n*(n - 2)**2*(5*n + 2)**2/2
Let i be 3/2 - 2/(-4). Let g be (-3)/54 + (-4350)