= -r(g) - 9*w(g). Factor b(h).
3*h*(h + 1)*(2*h - 1)**2
Let a(y) = 28*y**3 - 455*y**2 - 185*y - 157. Let g(d) = 14*d**3 - 228*d**2 - 110*d - 78. Let w(h) = 6*a(h) - 13*g(h). Factor w(n).
-2*(n - 18)*(n + 1)*(7*n + 2)
Let r(i) be the third derivative of 93*i**2 + 25/96*i**4 + 0 + 1/60*i**6 - 1/4*i**3 + 0*i - 9/80*i**5. Factor r(t).
(t - 2)*(t - 1)*(8*t - 3)/4
Suppose 0 = 4*g - 3*w - 11, 3*g - 3*w = 12. Let z be (-3 + 26/8)*(9 + g). Factor 5*x + 8*x**z - 3*x - 2*x - 2*x**3.
-2*x**2*(x - 4)
Suppose -1155*r + 1153*r = -30. Let s be 10/9 + r/(540/8). Factor 16/3*u + 8*u**2 + 16/3*u**3 + 4/3*u**4 + s.
4*(u + 1)**4/3
Let r be (1 - 5/15)*-9. Let x be (1 + r)*(3/(-1) + -1). Factor -9*h**3 - 4*h**5 + x*h**4 - 23*h**3 + 9*h**2 + 7*h**2.
-4*h**2*(h - 2)**2*(h - 1)
Let t(n) be the third derivative of 9/80*n**6 + 0 + 3*n**3 + 1/140*n**7 + 31/16*n**4 - 35*n**2 + 2*n + 27/40*n**5. Factor t(h).
3*(h + 1)**2*(h + 3)*(h + 4)/2
Solve 12*p + 230/19 - 2/19*p**2 = 0.
-1, 115
Let k(r) be the third derivative of -r**6/220 + 229*r**5/66 - 109061*r**4/132 - 36481*r**3/33 - 15129*r**2. Let k(f) = 0. Calculate f.
-1/3, 191
Let t(s) = -7*s + 137. Let a be t(19). Determine b, given that -12*b**2 - 7*b**3 - 8*b**3 - 12*b - a*b**3 + 26*b**3 - 10*b**3 = 0.
-2, 0
Determine h so that -740*h**3 + 215*h**3 + 5*h**4 + 20315*h - 82815*h + 15000*h**2 = 0.
0, 5, 50
Suppose 5*a + 4*c - 22599 + 22592 = 0, 7 = -3*a - 4*c. Suppose -2*m - 2*m**2 + 19/2*m**3 + 3/2*m**5 + 0 - a*m**4 = 0. What is m?
-1/3, 0, 1, 2
Let v(u) be the second derivative of 0*u**2 - 2*u + 0*u**3 - 3/20*u**5 - 6 + 0*u**4 + 1/10*u**6. Suppose v(a) = 0. Calculate a.
0, 1
Let k = -16043 + 10562. Let x be 8/(-18) - 4002/k. Factor -2/7*h**3 - 2/7*h**2 + x*h + 2/7.
-2*(h - 1)*(h + 1)**2/7
What is h in 54/7 + 2/7*h**5 - 4/7*h**3 + 12*h**2 - 18*h - 10/7*h**4 = 0?
-3, 1, 3
Let f(l) be the third derivative of l**8/1176 + 4*l**7/245 + 19*l**6/140 + 67*l**5/105 + 13*l**4/7 + 24*l**3/7 - 27*l**2 - 25*l. Let f(h) = 0. Calculate h.
-3, -2
Let p(y) = y**3 + 13*y**2 + 12*y + 8. Let v be p(-12). Suppose 12 = 5*f - 0*s + 2*s, 2*f + 4*s = -v. Solve -f*x**3 + 0*x**3 + 3*x**3 - 4*x**2 + 3*x**2 = 0.
-1, 0
Let p = -34118/19 + 239206/133. Determine i, given that -p - 18/7*i + 2/7*i**2 = 0.
-1, 10
Suppose -9*d + 128 - 83 = 0. Suppose d*j - 60 = -25*j. Factor 9/8*b + 3/8*b**j + 3/4.
3*(b + 1)*(b + 2)/8
Let d = -1450 + 1582. Let t be (-30)/d*38 - -11. Factor -6/11 - 10/11*o**3 - t*o**2 - 2*o.
-2*(o + 1)**2*(5*o + 3)/11
Let v(z) = 3*z**2 - 2*z + 22. Let d be v(-9). Suppose 278*r + 15 = d*r. Solve 3 - 15/2*f**r - 27/2*f + 18*f**2 = 0.
2/5, 1
Let p(c) be the third derivative of 2*c**7/105 + c**6/3 - 19*c**5/15 - 182*c**4/3 - 392*c**3 - c**2 - 500*c. Determine g so that p(g) = 0.
-7, -2, 6
Let r be 19720/4060*(-21)/(-5)*(-40)/(-18). Suppose -250/3*q**3 + 0 + r*q**4 - 8/3*q**5 + 152/3*q**2 - 10*q = 0. Calculate q.
0, 1/2, 1, 15
Suppose -p + 5*y + 3 = 3*y, -5*p + y + 60 = 0. Let r be 33/12 + -3 - p/(-20). Solve -r*d**2 + 0 - 2/5*d = 0 for d.
-1, 0
Let k be (6 - 5)/(3/(-15)*-1). Suppose 5 = k*m - 15. Factor 171*c**2 - m*c - 345*c**2 + 172*c**2.
-2*c*(c + 2)
Let m be (154/(-55) + 3)*-3 - -1. Factor 0 + m*j**3 - 4/5*j - 2/5*j**2.
2*j*(j - 2)*(j + 1)/5
Let o = -29/9639 + 28975/19278. Factor 5/2*y**4 - 3*y**3 - 1/2*y**5 + 7/2*y - o - y**2.
-(y - 3)*(y - 1)**3*(y + 1)/2
Let r = -670197/2 - -335099. Factor -12 - 5*d**2 - r*d**3 - 14*d.
-(d + 2)**2*(d + 6)/2
Let 21*q - 30*q**2 - 22703914*q**3 - 30 + 34*q + 22703919*q**3 = 0. Calculate q.
1, 2, 3
Let w(f) = -f**3 + 6*f**2 - 920*f + 7494. Let t be w(8). Factor t*u + 3/2*u**2 - 15/2.
3*(u - 1)*(u + 5)/2
Let a(q) be the second derivative of -q**7/98 - 6*q**6/7 + 3*q - 131. Factor a(n).
-3*n**4*(n + 60)/7
Let l(r) be the first derivative of -2*r**5/5 + 51*r**4 - 134*r**3 + 100*r**2 + 7395. Find x, given that l(x) = 0.
0, 1, 100
Let q be 10 + 2 + (-113)/452 + 62/(-8). Suppose -1/4*d**3 - 1/4*d**q + 3*d**2 - d - 4 = 0. Calculate d.
-4, -1, 2
Let d be (-5 + 4)/((-1)/2). Solve 1056*y - 22939*y**3 - 166 - 246*y**d + 22954*y**3 - 218 = 0.
2/5, 8
Let z(h) be the second derivative of 7*h**5/60 + 32*h**4/9 + 298*h**3/9 + 80*h**2/3 - 2*h - 86. What is c in z(c) = 0?
-10, -8, -2/7
Let 138*v + 3/5*v**2 + 7935 = 0. Calculate v.
-115
Factor -5*h**2 + 563*h - 430*h - 168*h + 90.
-5*(h - 2)*(h + 9)
Suppose 0 = 7*x - 27*x + 420. Factor 9 + 66*r**2 + 114*r**5 + 121*r**5 - 238*r**5 - 39*r + x*r**4 - 54*r**3.
-3*(r - 3)*(r - 1)**4
Let z(k) be the third derivative of k**6/600 + 27*k**5/100 + 729*k**4/40 + 6561*k**3/10 - 11*k**2 - 44*k. Factor z(l).
(l + 27)**3/5
Solve -26 - 2*u**2 - 44/3*u = 0.
-13/3, -3
Let k(n) be the first derivative of n**4/14 + 254*n**3/21 + 3968*n**2/7 - 8192*n/7 + 709. Factor k(i).
2*(i - 1)*(i + 64)**2/7
What is c in 1/2*c**3 + 0 - 37*c - 35/2*c**2 = 0?
-2, 0, 37
Determine j so that 22*j**3 + 19*j**3 + 2499*j**2 - 2564*j**2 + 16*j**4 + 4*j**3 + 49*j**4 - 35*j**5 - 10*j = 0.
-1, -1/7, 0, 1, 2
Suppose 184/7 - 20/7*v**2 + 164/7*v = 0. Calculate v.
-1, 46/5
Let p = 834 + -3335/4. Let c = -147 + 593/4. Solve -1/2 + c*m - 3/4*m**2 + 1/4*m**4 - p*m**3 = 0.
-2, 1
Let m(f) be the first derivative of -f**4/2 - 52*f**3/3 - 129*f**2 - 360*f - 227. Factor m(o).
-2*(o + 3)**2*(o + 20)
Let b(y) = 4*y**2 - 3492*y - 3505. Let v(r) = -15*r**2 + 10475*r + 10520. Let c(j) = 10*b(j) + 3*v(j). Let c(s) = 0. Calculate s.
-698, -1
Let c(b) = 10*b**2 - 6*b - 29. Let f be c(7). Suppose 0 = h + f - 422. Factor 3/4*v**h - 3*v**2 - 3/2 + 15/4*v.
3*(v - 2)*(v - 1)**2/4
Let b(n) = -5*n**3 - 1800*n**2 + 1775*n + 30. Let p(d) = -d**2 - d + 2. Let y(w) = b(w) - 15*p(w). Factor y(m).
-5*m*(m - 1)*(m + 358)
Suppose -9*g = -16*g + 14. Factor -54 + h**g - 58 + 118 + 5*h.
(h + 2)*(h + 3)
Let z(o) be the second derivative of -o**4/14 + 176*o**3/7 - 75*o**2 - 923*o. Factor z(w).
-6*(w - 175)*(w - 1)/7
Find r such that -37*r + 34*r**3 + 3*r + 319105*r**2 - 2*r**4 - 319103*r**2 = 0.
-1, 0, 1, 17
Factor 1377*a + 1/12*a**4 + 7803/4 + 9*a**3 + 537/2*a**2.
(a + 3)**2*(a + 51)**2/12
Let a(o) be the third derivative of -o**6/360 + 61*o**5/60 - 195*o**4/8 + 4325*o**3/18 - 34*o**2 + o + 5. Factor a(x).
-(x - 173)*(x - 5)**2/3
Let y(s) be the third derivative of 23/10*s**6 + 12/35*s**7 - s + 0 + 481/120*s**5 + 1/3*s**3 - 23/12*s**4 - 5*s**2. What is j in y(j) = 0?
-2, 1/12
Let k = 148482/5 + -29696. Factor 4 + k*b**3 + 4/5*b**2 - 26/5*b.
2*(b - 2)*(b - 1)*(b + 5)/5
Let v(h) be the first derivative of -h**7/63 - 4*h**6/135 + h**5/90 + h**4/27 - 45*h - 128. Let i(u) be the first derivative of v(u). Let i(z) = 0. What is z?
-1, 0, 2/3
Let w be (1/(-3))/((-770)/48 + 16). Let b(j) be the second derivative of 0*j**4 + 1/24*j**3 + 0 - 1/80*j**5 + w*j + 0*j**2. Solve b(q) = 0.
-1, 0, 1
Determine m, given that -9*m**2 + 82*m**4 + 12 + 714*m**3 - 150*m**3 + 59*m**4 + 27*m**4 - 756*m + 21*m**4 = 0.
-2, 1/63, 1
Determine h so that 20*h**2 - 9624*h - 461734 + 20*h**2 - 42*h**2 - 11115938 = 0.
-2406
Let y(k) be the first derivative of -k**6/60 - 7*k**5/40 - 2*k**4/3 - k**3 + 46*k + 73. Let x(z) be the first derivative of y(z). Factor x(a).
-a*(a + 2)**2*(a + 3)/2
Suppose 0 = -197*g + 174*g + 23. Let t be 720/(-105) + g + 7. Factor 24/7*n + t + 18/7*n**2.
2*(3*n + 2)**2/7
Let t(h) be the first derivative of -16/5*h + 85 - 3/2*h**2 + 1/15*h**3. Factor t(m).
(m - 16)*(m + 1)/5
Let d(c) be the second derivative of 25*c**7/168 + 39*c**6/8 + 4971*c**5/80 + 18151*c**4/48 + 1078*c**3 + 3087*c**2/2 - 1052*c. Factor d(w).
(w + 7)**3*(5*w + 6)**2/4
Let r(t) be the third derivative of 1/180*t**6 + 23/420*t**5 + 0*t + 1/14*t**4 + 2/3*t**3 - 5*t**2 + 0. Let v(j) be the first derivative of r(j). Factor v(d).
2*(d + 3)*(7*d + 2)/7
Let o(q) = -q + 12. Let k be o(9). Suppose 0 = -2*a + 4*c + 28, k*a - c = 4*c + 47. Determine j so that 16 - a*j - 10*j**2 + 44*j + 31 - 7 - 5*j**3 = 0.
-2, 2
Let q(a) be the second derivative of a**5/60 + 7*a**4/8 - 11*a**3/3 - 3*a**2/2 - 60*a. Let n(x) be the first derivative of q(x). Factor n(f).
(f - 1)*(f + 22)
Let y(i) = 13*i**2 + 12*i + 4640. Let u(q) = -84*q**2 - 71*q - 27840. Let t(f) = -3*u(f) - 19*y(f). Factor t(h).
5*(h - 32)*(h + 29)
Let l(j) be the first derivative of -1/60*j**5 - 1/3*j**3 + 1/8*j**4 + 0*j + 5/2*j**2 + 15. Let i(f) be the second