ative of 56 + 0*g**2 + 1/8*g**5 - 5/6*g**4 + 5/3*g**3 + g. Factor l(b).
5*b*(b - 2)**2/2
Factor -46238 + 126105*w + 5*w**3 + 1685*w**2 + 50155*w - 10759*w + 187358 - 22701*w.
5*(w + 1)*(w + 168)**2
Let h be 1/5 - -11*(-9)/495. Suppose h = -596*a + 593*a. Factor -1/2*i**3 - 1/4*i**2 + a - 1/4*i**4 + 0*i.
-i**2*(i + 1)**2/4
Let s = -664 - -667. Let 1258*b**2 + 2 + 100*b + 5*b**s - 2 - 1363*b**2 = 0. What is b?
0, 1, 20
Let k = -277 + 1693. Suppose -1414*j + k*j - 6 = 0. Find q, given that 1/4*q + 0*q**j + 1/2*q**4 + 0 - 1/2*q**2 - 1/4*q**5 = 0.
-1, 0, 1
Let r(k) be the second derivative of -k**5/5 + 45*k**4 - 268*k**3/3 + 146*k - 1. Determine w, given that r(w) = 0.
0, 1, 134
Let h(g) be the second derivative of g**7/280 + g**6/20 + 9*g**5/40 + 19*g**3/3 - 22*g. Let t(d) be the second derivative of h(d). Solve t(p) = 0.
-3, 0
Let y(f) be the first derivative of -f**5/5 + 63*f**4/4 - 99*f**3 + 409*f**2/2 - 174*f - 2226. Factor y(m).
-(m - 58)*(m - 3)*(m - 1)**2
Let l(p) be the third derivative of 0 + 0*p**5 + 0*p + 1/40*p**6 - 89*p**2 - 3/8*p**4 - p**3. Solve l(z) = 0 for z.
-1, 2
Let t(q) be the second derivative of -6/7*q**2 + 1/2*q**3 + 2 - 3/140*q**5 - 1/14*q**4 - 68*q. Factor t(d).
-3*(d - 1)**2*(d + 4)/7
Suppose 13*l = -45974 + 46000. Let 6/7*k + 4/7*k**l + 0 - 2/7*k**3 = 0. Calculate k.
-1, 0, 3
Let p = -105439 - -316318/3. Determine a so that 0*a + 1/4*a**4 + 1/12*a**5 + 0 + 0*a**3 - p*a**2 = 0.
-2, 0, 1
Let y = -82 + 107. Suppose -25 = 22*a - y. Factor a - 32/13*n - 16/13*n**2 - 2/13*n**3.
-2*n*(n + 4)**2/13
Solve 12/7*u**4 - 48/7*u**3 - 1/7*u**5 + 0*u + 0 + 64/7*u**2 = 0.
0, 4
Let l(g) be the first derivative of -1215*g**5 + 90585*g**4/4 - 25654*g**3 - 3690*g**2 - 168*g - 2704. Let l(d) = 0. What is d?
-2/45, 1, 14
Let l = 86 - 85. Suppose d - 11 - l = 0. What is h in h**2 - d*h - 11*h**2 + 6*h**2 = 0?
-3, 0
Solve 6/5*k**4 + 0 - 12/5*k**2 - 12/5*k + 9/5*k**3 - 3/5*k**5 = 0 for k.
-1, 0, 2
Let y be ((-83)/(28552/(-1161)) - (0 - -3))*8/18. Let y*o**4 + 0 - 7/6*o**3 + 1/6*o**5 - 13/6*o**2 - o = 0. What is o?
-2, -1, 0, 3
Let b be (-189)/54*(-60)/21. Let a be (-12)/(-40)*b/4. Find m, given that 3/2 - a*m**2 - 3/4*m = 0.
-2, 1
Let j be 65 + (-22)/((-7238)/(-20539)). Find g, given that j*g**2 - 70 - 2/7*g**3 + 6*g = 0.
-5, 7
Determine u so that 34*u - 2/7*u**2 + 240/7 = 0.
-1, 120
Let y(j) be the third derivative of j**5/30 + 34*j**4/3 - 137*j**3/3 + 10*j**2 + 124. Suppose y(t) = 0. Calculate t.
-137, 1
Let o(a) be the first derivative of a**6/27 - 26*a**5/45 + 47*a**4/18 - 46*a**3/27 - 28*a**2/3 - 2107. Let o(s) = 0. Calculate s.
-1, 0, 3, 4, 7
Let u(z) be the first derivative of -z**5 + 485*z**4/4 + 330*z**3 + 4244. Factor u(r).
-5*r**2*(r - 99)*(r + 2)
Let g(w) be the third derivative of 100*w**2 + 0*w + 8/35*w**7 + 0 + 0*w**3 + 0*w**4 + 1/30*w**5 + 2/21*w**8 + 3/20*w**6. Factor g(f).
2*f**2*(f + 1)*(4*f + 1)**2
Let f(z) = 5*z**3 - 10*z**2 - z. Let h(t) = -10*t**3 + 20*t**2. Let a = -269 - -264. Let m(u) = a*f(u) - 3*h(u). Factor m(v).
5*v*(v - 1)**2
Let y(a) be the third derivative of -a**7/490 + 43*a**6/280 + a**5/140 - 43*a**4/56 - 822*a**2. Suppose y(k) = 0. What is k?
-1, 0, 1, 43
Let v(a) be the first derivative of 3*a**5/35 - 81*a**4/14 + 1080*a**3/7 - 14256*a**2/7 + 93312*a/7 - 1635. Factor v(w).
3*(w - 18)*(w - 12)**3/7
Let i(w) = 227*w - 53. Let f be i(2). Let -76*u**2 + 11250 + 78*u**2 - 101*u + f*u = 0. What is u?
-75
Let k(a) be the first derivative of -2*a**3/27 + 347*a**2/3 + 563. Factor k(u).
-2*u*(u - 1041)/9
Factor -4/7*v**3 - 1056/7 + 656/7*v - 8*v**2.
-4*(v - 6)*(v - 2)*(v + 22)/7
Let v(w) = w**5 - 348*w**4 + 671*w**3 - 335*w**2. Let h(p) = -116*p**4 + 224*p**3 - 112*p**2. Let g(u) = -11*h(u) + 4*v(u). Factor g(n).
4*n**2*(n - 27)*(n - 1)**2
Let c(y) = y**2 - 2*y - 5. Let b be (14/49*4)/(4/14). Let a be c(b). Factor -6*x - 30*x**3 - a*x**2 + 11*x + x.
-3*x*(2*x + 1)*(5*x - 2)
Let c(s) = -1186*s - 52182. Let o be c(-44). Factor -1058/9 + 92/9*r - 2/9*r**o.
-2*(r - 23)**2/9
Let q(v) be the second derivative of -v**5/30 - v**4/6 + v**3 + 32*v**2 + 66*v. Let o(a) be the first derivative of q(a). What is b in o(b) = 0?
-3, 1
Suppose -z = 4*m + 4 + 11, 2*z = 10. Let q = -2 - m. Factor -9*d - 3*d**2 - 5 - 4 + q.
-3*(d + 1)*(d + 2)
Suppose 0 = j - 3*s + 23, -5*j - 2*s - 3*s - 115 = 0. Let f be 17 - 15 - (4*j)/2. Factor -f + 25*c**3 + 48 + 3*c**2 + 2*c**2.
5*c**2*(5*c + 1)
Let z(o) be the third derivative of o**8/168 + 8*o**7/105 - 87*o**6/20 + 42*o**5/5 - o**2 + 521*o. Determine u, given that z(u) = 0.
-21, 0, 1, 12
Let r(q) = -3*q**4 + 3*q**3 - 88*q**2 + 188*q - 28. Let u(j) = 2*j**4 - 4*j**3 + 87*j**2 - 188*j + 49. Let m(l) = -3*r(l) - 4*u(l). Solve m(t) = 0 for t.
-14, 1, 2, 4
Let o(x) be the first derivative of -567*x**4/20 + 69*x**3/5 - 3*x**2/5 - 1941. Factor o(l).
-3*l*(3*l - 1)*(63*l - 2)/5
Let b(k) be the second derivative of -k**5/45 + 13*k**4/27 + 56*k**3/9 + 24*k**2 - 1454*k. Solve b(o) = 0.
-3, -2, 18
Let m = -2041 + 2044. Let z(w) be the second derivative of 1/35*w**7 - 7/75*w**6 + 0 + 0*w**4 + 0*w**m + 0*w**2 + 1/25*w**5 - 8*w. Factor z(r).
2*r**3*(r - 2)*(3*r - 1)/5
Suppose -5*t + 1391 = -3*r, -246 = -5*t + r + 1151. What is q in 1900*q - t*q + 180*q**2 - 3434*q**3 + 3439*q**3 = 0?
-18, 0
Let x(w) be the third derivative of -w**8/1008 + 11*w**7/315 - w**6/5 - 107*w**5/90 - 119*w**4/72 - 2732*w**2. Solve x(y) = 0 for y.
-1, 0, 7, 17
Let m(l) be the second derivative of l**6/30 - 7*l**5/4 - 16*l**4 - 158*l**3/3 - 80*l**2 - 3220*l. Suppose m(i) = 0. What is i?
-2, -1, 40
Suppose 0*r + 3*l - 117 = -4*r, 0 = -4*r - l + 119. Suppose -r*b + 105 = 5*b. Suppose -b*x - 1/7*x**3 - 18/7 - 8/7*x**2 = 0. What is x?
-3, -2
Let m(c) be the third derivative of 1/180*c**5 + c**3 - 12*c**2 + 19/72*c**4 + 0 - 2*c. Determine z so that m(z) = 0.
-18, -1
Let b(j) be the second derivative of -47/12*j**4 + 0 + 100*j + 1/30*j**6 + 28*j**3 - 3/10*j**5 + 392*j**2. Factor b(n).
(n - 7)**2*(n + 4)**2
Let w(d) be the third derivative of -d**7/140 - 121*d**6/5 - 175692*d**5/5 - 28344976*d**4 - 13718968384*d**3 - 2314*d**2. Factor w(m).
-3*(m + 484)**4/2
Let m(i) be the second derivative of 395*i**4/12 + 140*i**3 + 50*i**2 - i - 45. Factor m(v).
5*(v + 2)*(79*v + 10)
Suppose 3*k - 232 = 2*p, 2*p + 48 = k - 32. Suppose -g + 40 = 5*v, -4*g + 0*g + v = -k. Suppose g*i + 6 - 10*i - i**2 - 9*i = 0. What is i?
-2, 3
Let o = 58706 + -28677. Factor -10*f + o - 15*f**2 - 30029 + 5*f**4.
5*f*(f - 2)*(f + 1)**2
Let w(d) be the third derivative of -1/15*d**6 + 0*d**3 + 139*d**2 + 0*d**4 - 2/105*d**7 + 0*d + 0 - 1/15*d**5. Factor w(u).
-4*u**2*(u + 1)**2
Suppose 0 = 44*i + 4*i + 3*i - 204. Let f(p) be the second derivative of -1/3*p**3 + 0*p**2 + 1/12*p**i + p + 0. Solve f(h) = 0 for h.
0, 2
Let v = -606 - -609. Let f(n) be the first derivative of 2*n**2 - 8 + 6*n**4 + 16/5*n**5 + 2/3*n**6 + 16/3*n**v + 0*n. Factor f(w).
4*w*(w + 1)**4
Suppose 1 = p - 2*h, 0*p + 2 = 2*p - 2*h. Factor 508*s**2 + 236*s + 15 - 12 + 2973*s**2 + p.
(59*s + 2)**2
Suppose 0 = -5*k + 4*k - 5*u + 70, -k + 60 = 3*u. Suppose 22*x**2 + k*x - 10 - 17*x**2 + 20*x**2 = 0. Calculate x.
-2, 1/5
Let g(b) = 22*b + 156. Let y be g(-7). Suppose 43*u**y - 18605 - 22*u**2 + 610*u - 26*u**2 = 0. What is u?
61
Let w(z) be the first derivative of -2*z**6/3 - 68*z**5/5 + 37*z**4 - 76*z**3/3 - 570. Factor w(l).
-4*l**2*(l - 1)**2*(l + 19)
Factor -761/4*k - 579121/8 - 1/8*k**2.
-(k + 761)**2/8
Factor 1468*n - 1462*n + 3*n**3 - 4*n**3 + n**2.
-n*(n - 3)*(n + 2)
Suppose 8 = -2*p + 8*r - 4*r, -3*p - 6 = -4*r. Determine f so that -18*f + 28*f + 2 - 13*f + f**p = 0.
1, 2
Suppose 8 = -o + 10. Solve -36*r**3 + 0*r**o - 574 - 16*r - 9*r**2 + 574 + 4*r**5 + 4*r**4 + 53*r**2 = 0 for r.
-4, 0, 1
Let u be (8/(-6))/(66/(-198)). Let l(i) be the first derivative of -u*i + 4/5*i**5 + 6 + 4*i**2 - 2*i**4 + 0*i**3. Let l(z) = 0. What is z?
-1, 1
Let n = 592/63 - 82/9. Let z be ((-4)/(-18))/((-252)/(-324)). Determine s, given that 0 - 4/7*s**2 + 0*s**3 - z*s**5 + n*s + 4/7*s**4 = 0.
-1, 0, 1
Factor 111/2*v**2 + 27*v + 0 + 3*v**3.
3*v*(v + 18)*(2*v + 1)/2
Let q(t) be the second derivative of -t**7/17640 + 19*t**6/5040 - 3*t**5/140 + t**4/6 + 5*t**3/2 - 15*t. Let x(o) be the third derivative of q(o). Factor x(a).
-(a 