s) = -7*s**5 - 257*s**4 + 1495*s**3 - 2227*s**2 + 4. Let i(z) = 16*z**5 + 515*z**4 - 2991*z**3 + 4455*z**2 - 9. Let v(l) = -4*i(l) - 9*t(l). Factor v(p).
-p**2*(p - 247)*(p - 3)**2
Let n(y) be the first derivative of 5*y**5/4 - 215*y**4/8 + 590*y**3/3 - 2065*y**2/4 + 735*y/4 - 1245. Determine z so that n(z) = 0.
1/5, 3, 7
Factor -95922/5 - 2/5*h**2 - 876/5*h.
-2*(h + 219)**2/5
Factor 43552 - 4*h**2 - 43776 - 58*h - 62*h.
-4*(h + 2)*(h + 28)
Let r = 3375/34 - -30757/17. Let q = r - 1906. Factor -2 + 21/2*d - q*d**2.
-(d - 4)*(5*d - 1)/2
Let u(s) be the first derivative of -5*s**4/3 + 16*s**3/3 - 6*s**2 - 6*s + 85. Let b(c) be the first derivative of u(c). Solve b(o) = 0 for o.
3/5, 1
Let r(g) be the third derivative of 5*g**8/2352 + 23*g**7/1470 - 31*g**6/168 - 41*g**5/60 + 233*g**4/28 - 12*g**3 - 554*g**2. Suppose r(a) = 0. What is a?
-7, -4, 2/5, 3
Let w = -494 - -604. What is l in -64 - 21*l**5 + 65*l**5 - 154*l**4 + 100*l - w*l**3 + 218*l**2 - 34*l**5 = 0?
-1, 2/5, 1, 16
Let g(s) be the second derivative of -s**5/45 - 13*s**4/18 + 28*s**3/9 + 22*s**2 + 36*s. Let c(o) be the first derivative of g(o). Factor c(y).
-4*(y - 1)*(y + 14)/3
Determine n so that -2/7*n**3 - 486098/7*n - 1972/7*n**2 + 0 = 0.
-493, 0
Suppose 1 = -v + t, -v + 2*t = -0*v + 4. Suppose -4*m = v*p - 24, m + 4*p + p = 15. Factor 0*b**3 + 20*b - b**3 - 8 - 28*b**2 + m*b**3 + 12*b**2.
4*(b - 2)*(b - 1)**2
Let o(q) = -5*q - 41. Let l be o(4). Let x = l + 78. Factor 5*z**5 - 40*z**3 - 160 + 16*z**2 + 97*z + 0*z**5 - 10*z**4 - x*z + 64*z**2.
5*(z - 2)**3*(z + 2)**2
Let q = 257 - 253. Suppose -4*f - 2*f**5 + 43*f**4 - 1 + 1 + 6*f**3 + 2*f**2 - 45*f**q = 0. Calculate f.
-2, -1, 0, 1
Let o(s) be the second derivative of -s**5/150 - s**4/20 - 34*s**2 - s + 16. Let a(k) be the first derivative of o(k). Solve a(w) = 0.
-3, 0
Let x(c) be the third derivative of -c**7/735 + 3*c**6/140 - 13*c**5/105 + 2*c**4/7 - 3*c**2 + 50*c + 9. Suppose x(w) = 0. Calculate w.
0, 2, 3, 4
Let g(r) be the first derivative of -5*r**3/3 + 1505*r**2 - 453005*r - 638. Determine t so that g(t) = 0.
301
Let g(s) = s**3 - s**2 + 1. Let m(h) = 3*h**3 - 9*h**2 + 3*h + 9. Let u = -877 - -876. Let i be -1 + (2 - (0 - 5)). Let q(f) = i*g(f) + u*m(f). Factor q(z).
3*(z - 1)*(z + 1)**2
What is p in 0*p + 380/11*p**2 - 194/11*p**3 + 0 + 2/11*p**4 = 0?
0, 2, 95
Let q be -1*3 + 2 + 4. Suppose 2*w = 2*m - q*w - 19, m = 5*w + 17. Factor 0 - 10/3*t**3 + 4/3*t - m*t**2.
-2*t*(t + 1)*(5*t - 2)/3
Let p(x) be the first derivative of 2*x**5/25 + 187*x**4/5 + 23062*x**3/5 - 70312*x**2/5 + 70688*x/5 + 202. Factor p(b).
2*(b - 1)**2*(b + 188)**2/5
Suppose -2*h = -2*i - 150, 5*i = -4*h + 2*h - 403. Let s be 2*(-2)/(-8) - i/79. Factor s*a**2 + 3 - 9/2*a.
3*(a - 2)*(a - 1)/2
Let y(j) be the first derivative of -27*j**5/5 + 14*j**4 - 4*j**3/3 - 25. Find l such that y(l) = 0.
0, 2/27, 2
Let t(v) be the second derivative of -1/12*v**4 - 441/2*v**2 + 7*v**3 + 0 - 69*v. Factor t(k).
-(k - 21)**2
Suppose -29*a + 15 = -26*a. Suppose a*h - 22 - 3 = 0. Factor -g**2 - 2*g**2 - h*g**3 + g**3 + 7*g**2.
-4*g**2*(g - 1)
Let g(q) be the second derivative of q**6/18 - 16*q**5/5 + 419*q**4/9 + 560*q**3/3 - 800*q**2/3 + 163*q. Suppose g(r) = 0. What is r?
-2, 2/5, 20
What is h in -3*h**3 + 200*h - 4*h**2 - h**3 + 201669 - 201861 = 0?
-8, 1, 6
Suppose -3*k = -3*y + 27, 2*y + 8*k + 3 = 3*k. Let q be 0 - (-2 - -2 - (y - -27)). Solve 23*z**3 - 12*z**2 + 15*z**3 + 20 - q*z**3 - 3*z**2 = 0 for z.
-1, 2
Let d(r) be the first derivative of -r**3/12 + 5*r**2/8 + 207*r/2 - 3016. Factor d(h).
-(h - 23)*(h + 18)/4
Suppose 4*k + 4*z + 3748 = 0, 5*k - 4*z + 3203 = -1491. Let f = 1877/2 + k. Solve 1/2*g - 1/2*g**4 - f*g**3 + 0 + 1/2*g**2 = 0.
-1, 0, 1
Suppose 3*x + 26*i - 851 = 31*i, -3*x + i = -835. Let 4*w**3 + x*w**2 - 56*w - 126*w**2 - 131*w**2 + 0*w**3 = 0. Calculate w.
-7, 0, 2
Let k(q) = q**4 - q**3 + q**2 - 2. Let f(s) = 8*s**4 - 28*s**3 - 4*s**2 + 18*s - 4. Let t(u) = -f(u) + 10*k(u). Solve t(h) = 0 for h.
-8, -1, 1
Factor 124918*b**2 - 250473*b**2 - 18417 + 2033 - 15872*b - b**4 + 124*b**3 + 121967*b**2.
-(b - 64)**2*(b + 2)**2
Let v(b) = -b**2 + 14*b + 19. Let i(l) = -l**2 + 18*l + 20. Let d(t) = 4*i(t) - 5*v(t). Factor d(r).
(r - 3)*(r + 5)
Let q be (-10 + (-470)/(-50))*((-1)/3)/1. Let w(y) be the first derivative of -18 + 2/15*y**3 + q*y**2 - 4/5*y. Factor w(x).
2*(x - 1)*(x + 2)/5
Let o be (2/(-13))/(3842/(-99892)). Factor -24/5*g**3 - 168/5*g**2 - 48 - 352/5*g + 1/5*g**o.
(g - 30)*(g + 2)**3/5
Let o(c) be the second derivative of c**5/70 + 11*c**4/42 - 80*c**3/21 + 2535*c + 2. Suppose o(s) = 0. What is s?
-16, 0, 5
Suppose 3*h = -4*c + 2*h + 5, 3*c - 18 = 4*h. Factor 4*w + 3*w**4 + 175*w**c - 243 - 58*w + 54*w**3 + 105*w**2 - 40*w**2.
3*(w - 1)*(w + 1)*(w + 9)**2
Let g = 262 + 1. Let u = g - 260. Factor -12/7*z**u + 2/7*z**4 + 24/7*z**2 + 0 - 16/7*z.
2*z*(z - 2)**3/7
Let v(b) be the first derivative of -1/34*b**4 - 4/51*b**3 + 1/85*b**5 + 4/17*b**2 + 1/255*b**6 - 16 + b. Let s(g) be the first derivative of v(g). Factor s(y).
2*(y - 1)**2*(y + 2)**2/17
Let z = 60478/1365 - 310/7. Let b = 203/390 - z. Suppose b - 3/8*h - 1/8*h**2 = 0. What is h?
-4, 1
Let a(k) be the first derivative of 1/3*k**4 - 1/15*k**5 - 3*k**2 + 0*k - 72 + 1/3*k**3. What is g in a(g) = 0?
-2, 0, 3
Let b(f) be the third derivative of 29*f**5/50 - 41*f**4/10 + 48*f**3/5 - 6*f**2 + 109. Find n, given that b(n) = 0.
24/29, 2
Let j(b) = -2*b**3 + 4*b**2 + 128*b - 141. Let r(a) = -a**3 - a**2 - 8*a - 1. Let u(t) = -j(t) + r(t). Suppose u(d) = 0. What is d?
-10, 1, 14
Suppose 2*z - 173 = -5*q, -q = 4*z - 269 - 32. Suppose 174 + 122 = z*k. Find n such that 0 - 3/2*n**3 - 1/4*n**5 - n**2 - 1/4*n - n**k = 0.
-1, 0
Let x(g) = -g**2 - 140*g + 165. Let s(d) = -140*d + 170. Let m(p) = -4*s(p) + 5*x(p). Suppose m(r) = 0. What is r?
-29, 1
Let x(y) be the second derivative of 1/180*y**6 - 20*y + 1/30*y**5 + 0*y**2 + 1/12*y**4 - 14/3*y**3 + 0. Let i(a) be the second derivative of x(a). Factor i(z).
2*(z + 1)**2
Let j(x) = -42*x + 843. Let z be j(20). Let y(v) be the second derivative of 5/24*v**4 + 5/3*v**z + 5*v**2 + 0 + 10*v. Suppose y(l) = 0. Calculate l.
-2
Let p(z) be the second derivative of 9*z**5/10 - 4441*z**4/6 + 17752*z**3/27 - 1972*z**2/9 - 46*z - 9. Factor p(d).
2*(d - 493)*(9*d - 2)**2/9
Let k(f) be the third derivative of 0*f + 232*f**2 - 11/6*f**6 + 2/35*f**7 + 154/15*f**5 - 80*f**3 - 26/3*f**4 + 0. Find z, given that k(z) = 0.
-2/3, 2, 15
Let x(m) be the first derivative of -2*m**5/35 - 13*m**4 - 5758*m**3/7 - 4628*m**2 - 63368*m/7 - 1255. Factor x(u).
-2*(u + 2)**2*(u + 89)**2/7
Let n be (657/(-63) - -9)/((-15)/42). Let u(f) be the second derivative of 0 + 2/3*f**3 - 6*f - 2/3*f**4 + n*f**2 - 1/5*f**5. Suppose u(i) = 0. What is i?
-2, -1, 1
Let b(o) be the second derivative of -o**7/21 + 6*o**6/5 - 61*o**5/10 - 30*o**4 - 100*o**3/3 + o - 97. Factor b(g).
-2*g*(g - 10)**2*(g + 1)**2
Let u(c) be the first derivative of 33*c**4/20 + 114*c**3 + 10998*c**2/5 - 4056*c/5 - 672. Suppose u(g) = 0. Calculate g.
-26, 2/11
Factor -177/5*w**2 + 3/5 - 174/5*w.
-3*(w + 1)*(59*w - 1)/5
Let v = -97002 + 97005. Determine k, given that -5 - 1/4*k**2 + 4*k - 1/4*k**v = 0.
-5, 2
Let y(l) be the third derivative of -l**8/84 - 1312*l**7/105 + l**6/30 + 656*l**5/15 + 15378*l**2. Let y(j) = 0. What is j?
-656, -1, 0, 1
Let i(g) = g**2 - 29*g + 189. Let f be i(20). Let q(x) be the second derivative of 0 + 0*x**2 + 1/15*x**4 + 0*x**3 - f*x. Factor q(n).
4*n**2/5
Factor -1/4*i**3 + 0 - 2157/4*i + 361/2*i**2.
-i*(i - 719)*(i - 3)/4
Let s(k) = -3*k + 8. Let y be s(-6). Factor 20*v**2 + y*v**4 - 41*v**4 - 7*v**5 + 2*v**5.
-5*v**2*(v - 1)*(v + 2)**2
Let f = 62 - 100. Let r be 32/(-18) - (f + 36). Solve -1/9*v**3 + 1/9*v - 2/9 + r*v**2 = 0 for v.
-1, 1, 2
Let b = -27 + 49. Suppose -6 = -g + 8. Factor -11*o**3 - 168*o - 15*o**3 + 10*o**3 + b + g + 100*o**2.
-4*(o - 3)**2*(4*o - 1)
Let t(x) = -100*x**2 - 56*x - 184. Let k(p) = -267*p**2 - 166*p - 552. Let b(z) = -3*k(z) + 8*t(z). Let b(h) = 0. Calculate h.
-46, -4
Let i(j) = j**3 - 6*j**2. Let b(t) = -13*t**3 - 15*t**2. Let q(n) = b(n) - 5*i(n). Determine s, given that q(s) = 0.
0, 5/6
Let u(z) be the first derivative of -2/3*z**3 - 4*z + 11/3*z**2 - 70 + 2/15*