or x(z).
-2*(z - 2)*(z + 1)*(z + 13)
Let k(b) be the first derivative of -b**4/24 + 9*b**2/4 + 53*b - 84. Let d(m) be the first derivative of k(m). Factor d(t).
-(t - 3)*(t + 3)/2
Let r be 1790/420 - (-266)/3724. Factor -1/6*m**2 + r + 11/6*m.
-(m - 13)*(m + 2)/6
Let d(l) = -l**2 + 8*l + 8. Let o be d(8). Suppose 2*j = 4*j - o. Factor -6*k + k - k + 2*k**2 - j*k**2.
-2*k*(k + 3)
Let t(x) be the third derivative of 0 - 1/336*x**8 - 2*x**2 - 22/15*x**5 + 0*x**3 - 2*x**4 - 17/40*x**6 - 2/35*x**7 + 38*x. Factor t(b).
-b*(b + 1)*(b + 3)*(b + 4)**2
Suppose 14*k = -18*k - 49*k + 162. Let b(q) be the second derivative of 0*q**k + 0 - 23*q - 1/30*q**6 + 1/12*q**4 - 1/3*q**3 + 1/10*q**5. Factor b(y).
-y*(y - 2)*(y - 1)*(y + 1)
Let z(g) be the third derivative of -11 - 15/2*g**3 + 4*g**2 - 17/20*g**5 + 31/8*g**4 + 1/40*g**6 + 0*g. Suppose z(t) = 0. What is t?
1, 15
Let d(x) = 5*x**4 - 383*x**3 + 384*x**2 - 2*x - 6. Let r(s) = 3*s**4 - s - 3. Let i(t) = -d(t) + 2*r(t). Solve i(g) = 0 for g.
-384, 0, 1
Let k(t) = t**2 + 22*t + 57. Suppose r - 18 = 2*g - 16, -g + 2*r + 5 = 0. Let a be k(g). Find y such that -1/3*y**3 + y**2 + 4/3*y + a = 0.
-1, 0, 4
Suppose -542 + 494 = -8*q. Suppose 2*h - q*x + 1 - 17 = 0, x + 12 = 5*h. Find z such that -1/4*z**h - 1/4 - 1/2*z = 0.
-1
Suppose 5*t - 8 = 3*j, -2*t - 5*j + 4 = -7*j. Let d(a) = -3*a**4 + 36*a**3 + 82*a**2 + 41*a + 1. Let p(x) = x**2 - x + 1. Let k(c) = t*p(c) - d(c). Factor k(g).
3*g*(g - 14)*(g + 1)**2
Let c be 2/(-12)*-14 - (-18)/(-54). Suppose 0 = -2*y + 211 - 203. Determine x, given that -85*x - y*x**2 + 16 + 89*x - 2*x**c = 0.
-4/3, 2
Let v(t) be the third derivative of -t**5/20 - 117*t**4/8 - 115*t**3 - 4887*t**2. Factor v(c).
-3*(c + 2)*(c + 115)
Factor -64/3*r - 2/3*r**2 - 62/3.
-2*(r + 1)*(r + 31)/3
Suppose 255 + 615 = 378*j + 114. Let c(l) be the first derivative of -1/20*l**4 - 2 + 1/15*l**3 + 1/5*l**j + 0*l. Factor c(n).
-n*(n - 2)*(n + 1)/5
Let c(q) = -3*q**2 - 510*q + 8327. Let y be c(15). Factor 2/3*r - 1/3*r**3 + 1/3*r**y + 0.
-r*(r - 2)*(r + 1)/3
Let g(c) be the third derivative of -c**7/1785 + 13*c**6/510 + 28*c**5/255 + 1029*c**2. Determine i, given that g(i) = 0.
-2, 0, 28
Let u(d) be the first derivative of -3*d**4/4 + 11*d**3 - 48*d**2 + 84*d - 1645. Factor u(b).
-3*(b - 7)*(b - 2)**2
Let d(m) be the first derivative of -53 - 1/18*m**3 - 4/3*m - 5/6*m**2 + 1/24*m**4. Factor d(w).
(w - 4)*(w + 1)*(w + 2)/6
Let r(g) be the second derivative of -25/12*g**3 - 1/24*g**4 + 0 + 69*g - 6*g**2. Find q, given that r(q) = 0.
-24, -1
Suppose -90*m + 87*m = 12. Let x be 357 - 351 - 3/((-3)/m). Let 8/3 + 26/3*j**x - 34/3*j**4 + 32/3*j**3 - 40/3*j + 8/3*j**5 = 0. What is j?
-1, 1/4, 1, 2
Let a(z) = z**2 + 7*z - 32. Let v(b) = -6*b + 33. Let j = -228 - -226. Let w(h) = j*v(h) - 3*a(h). Find s, given that w(s) = 0.
-5, 2
Let a(t) be the second derivative of t**6/15 - 527*t**5/10 + 787*t**4/3 - 1048*t**3/3 - 7768*t. Factor a(u).
2*u*(u - 524)*(u - 2)*(u - 1)
Find w, given that 972*w - 2/3*w**2 - 354294 = 0.
729
Let t(z) be the first derivative of -5*z**3/3 + 50*z**2 - 95*z - 2969. Factor t(a).
-5*(a - 19)*(a - 1)
Factor -315*k**3 - 30*k + 56309461 - 267*k**2 - 56309461.
-3*k*(7*k + 5)*(15*k + 2)
Let b(d) be the first derivative of 3*d**5/5 + 573*d**4/4 - 579*d**3 + 1743*d**2/2 - 582*d + 1054. Factor b(u).
3*(u - 1)**3*(u + 194)
Factor -207*r + 0 + 3/2*r**3 - 129/2*r**2.
3*r*(r - 46)*(r + 3)/2
Let o(z) be the third derivative of -z**5/15 + 10*z**4/3 + 200*z**3 + 28*z**2 + 75*z. Find i, given that o(i) = 0.
-10, 30
Let s(n) = 2*n**4 - 11*n**3 - 30*n**2 + 3*n + 35. Let a(o) = 2*o**4 - 8*o**3 - 30*o**2 + 4*o + 36. Let t(h) = 5*a(h) - 4*s(h). Let t(v) = 0. What is v?
-5, -1, 2
Let r(j) be the first derivative of -2*j**3/57 - 49*j**2/19 - 1933. Factor r(a).
-2*a*(a + 49)/19
Suppose k - 52*p + 54*p = 0, -5*p = -3*k + 22. Factor -2*d**k - 12*d**3 - 10 - 367*d**2 + 2 - 24*d + 341*d**2.
-2*(d + 1)**2*(d + 2)**2
Let p(o) be the third derivative of -o**8/588 + 26*o**7/735 - 32*o**6/105 + 148*o**5/105 - 80*o**4/21 + 128*o**3/21 - 3*o**2 + 252. Suppose p(q) = 0. What is q?
1, 2, 4
Let l be (0 + 5/20)/(875/11200). What is k in 2/15*k**4 - 4/3*k**3 - 10/3 + 4/3*k + l*k**2 = 0?
-1, 1, 5
Let y(o) be the third derivative of 1/1512*o**8 + 9*o**2 + 1/9*o**3 - 1/189*o**7 + 0 + 1/90*o**6 - 7/108*o**4 + 1/135*o**5 + 0*o. Suppose y(k) = 0. What is k?
-1, 1, 3
Let y(l) be the second derivative of -l**5/20 - 19*l**4/60 - 23*l**3/30 - 9*l**2/10 - 1417*l. Let y(r) = 0. What is r?
-9/5, -1
Let a(t) = 8*t - 248. Let l be a(31). Let j = 1163/5 + -4637/20. Solve l + x + j*x**5 + 33/4*x**3 - 21/4*x**2 - 19/4*x**4 = 0 for x.
0, 1/3, 1, 4
Solve -180*r**2 - 90*r**2 + 355*r**2 - 110*r - 90*r**2 - 600 = 0.
-12, -10
Let j = 24946/15 + -8312/5. Solve -2/3*f**4 - 2*f**2 + 2*f**3 + j*f + 0 = 0.
0, 1
Factor 217*g + 27*g - 984269 + 983941 + 8*g**3 + 340*g**2 + 240*g.
4*(g + 2)*(g + 41)*(2*g - 1)
Let h be 25 - -5 - (-413)/(-14). Determine a, given that 0 + h*a**3 - 4*a - a**2 = 0.
-2, 0, 4
Let h(i) be the second derivative of i**8/784 + i**7/70 + 11*i**6/280 + i**5/28 - 28*i**2 - 55*i. Let f(g) be the first derivative of h(g). Solve f(j) = 0.
-5, -1, 0
Let v(c) be the first derivative of -c**6/72 - 17*c**5/12 - 1445*c**4/24 + 68*c**3/3 + 1. Let o(y) be the third derivative of v(y). Let o(x) = 0. Calculate x.
-17
Let f(s) be the third derivative of 1/1260*s**7 - 3 - 1/9*s**4 + 52*s**2 + 1/45*s**5 + 0*s + 7/720*s**6 + 0*s**3. Factor f(z).
z*(z - 1)*(z + 4)**2/6
Let r = -1239 + 1246. Let j be (-2093)/(-42) - r - 2. Let -7/6*i**2 - j*i**3 - 2 + 32/3*i = 0. What is i?
-3/5, 2/7
Let y(g) be the second derivative of g**5/60 + g**4/6 - 7*g**3/18 + 834*g. Factor y(i).
i*(i - 1)*(i + 7)/3
Let d(k) = -k**3 + k**2 + 2*k + 11. Let z(g) = -7*g**3 + 39*g**2 + 90*g + 99. Let v(o) = 18*d(o) - 2*z(o). Factor v(l).
-4*l*(l + 3)*(l + 12)
Let w(f) be the second derivative of f**7/56 - 37*f**6/40 + 399*f**5/80 - 27*f**4/16 - 99*f**3/4 - 1128*f. Suppose w(q) = 0. Calculate q.
-1, 0, 2, 3, 33
Let m be (-26)/(-1066) + 3358/16974. Let 4/3*f + 32/9 - m*f**2 = 0. What is f?
-2, 8
Determine z, given that -93*z**5 - 754*z**4 + 97*z**4 + 36 + 600*z + 4367*z**2 - 558*z**3 - 3746*z**2 + 51*z**3 = 0.
-6, -1, -2/31, 1
Let j(f) be the first derivative of -3*f**4/4 + 678*f**3 - 229842*f**2 + 34629528*f + 668. What is s in j(s) = 0?
226
Factor 4860*w - 270*w**2 + 5*w**3 - 22229 - 29467 + 22536.
5*(w - 18)**3
Let n be (-3)/(-30) - 48/168*(-7)/(-20). Factor -3/5*p**5 + 9/5*p**4 + 0*p**3 + 0*p**2 + 0 + n*p.
-3*p**4*(p - 3)/5
Let w be (-11 - (-5)/(-1) - -34)*6/(-54)*-10. Factor -2/3*v**2 + w + 2/3*v.
-2*(v - 6)*(v + 5)/3
Let t(a) = -15*a**3 - 85*a**2 - 110*a + 230. Let v(p) = -p**3 + 4*p**2 - 1. Let c(i) = t(i) - 10*v(i). Factor c(u).
-5*(u - 1)*(u + 2)*(u + 24)
Let x(b) = -b**2 + 14*b + 11. Let s be x(12). Let f be ((-2)/s)/((-228)/2128). Factor 8/5*t - 26/15*t**2 - f - 2/15*t**4 + 4/5*t**3.
-2*(t - 2)**2*(t - 1)**2/15
Let l = 7385 - 7383. Let g(t) be the first derivative of 3/7*t**l - 1/7*t**3 - 18 + 0*t. Factor g(c).
-3*c*(c - 2)/7
Let k(t) be the third derivative of t**6/200 + 2199*t**5/50 + 1611867*t**4/10 + 1575331348*t**3/5 - 1871*t**2. Factor k(f).
3*(f + 1466)**3/5
Factor 102675 - 370*s + 1/3*s**2.
(s - 555)**2/3
Suppose -4492845*g**2 - 1647857448721 + 4325*g**3 - 1220276*g**2 + 207*g**3 + 5817678548*g - g**4 + 3562859*g**2 - 5551872*g**2 = 0. Calculate g.
1133
Let u(l) = l - 4. Let t be u(7). Suppose -o - 9 = -4*z, 3*o + 15 = 12. Determine c so that t*c**z + 0*c**2 + 5*c**2 - 6*c**2 = 0.
0
Let b = -525622 - -3679644/7. Factor -b*o**2 - 50/7*o**3 + 402/7*o - 18.
-2*(o + 7)*(5*o - 3)**2/7
Let a(k) be the first derivative of -k**5/15 - 37*k**4/12 + 79*k**3/9 + 37*k**2/6 - 26*k + 1282. Determine m, given that a(m) = 0.
-39, -1, 1, 2
Let -52/3 - 4/9*f**2 + 64/9*f = 0. Calculate f.
3, 13
Solve 1947/2*z - 243 - 1725/4*z**2 + 21/8*z**3 = 0.
2/7, 2, 162
Let d(g) = 2*g**2 + 2*g - 1. Let j(r) = 51*r**2 - 4*r - 3. Let w(y) = y**2 + 33*y + 87. Let t be w(-30). Let l(p) = t*d(p) + j(p). Factor l(n).
5*n*(9*n - 2)
Let l(x) be the first derivative of -x**4/30 - 2*x**3/15 + x**2/15 + 2*x/5 + 462. Factor l(i).
-2*(i - 1)*(i + 1)*(i + 3)/15
Suppose -5*k + 5*h - 110 + 130 = 0, 0 = 8*k + 4*h - 20. 