*o**2. What is a in l(a) = 0?
-1, -4/13, 1
Let z = -854/83 + 1957/166. Factor 33/2*h**2 + 39/2 - 75/2*h + z*h**3.
3*(h - 1)**2*(h + 13)/2
Let n(t) be the first derivative of -2*t**3/3 + 172*t**2 + 3169. Factor n(r).
-2*r*(r - 172)
Solve 370*h**3 + 1/2*h**5 + 4320*h + 2008*h**2 + 24*h**4 + 3200 = 0.
-20, -4, -2
Find c, given that -2050*c + 1500 + 265/2*c**3 - 385*c**2 - 15/2*c**4 = 0.
-3, 2/3, 10
Suppose 116*t - 330*t + 642 = 0. Factor -94/7*s**2 + 0 - 48/7*s - 44/7*s**t + 2/7*s**4.
2*s*(s - 24)*(s + 1)**2/7
Let g(t) be the second derivative of -3*t**5/40 + 1063*t**4/32 - 35245*t**3/8 - 53067*t**2/16 + 55*t + 5. Factor g(p).
-3*(p - 133)**2*(4*p + 1)/8
Let x(n) be the third derivative of -n**2 + 0*n**3 + 1/70*n**7 - 1/8*n**4 + 1 - 1/20*n**5 + 1/40*n**6 + 0*n. Factor x(r).
3*r*(r - 1)*(r + 1)**2
Let j(l) be the third derivative of -27*l**8/196 + 654*l**7/49 + 6199*l**6/105 + 956*l**5/21 + 12*l**4 - l**2 + 140. Find g, given that j(g) = 0.
-2, -2/9, 0, 63
Let p(b) = 2*b**2. Let w(y) = 19*y**2 - 1440*y - 518400. Let c(x) = -10*p(x) + w(x). Factor c(v).
-(v + 720)**2
Let y(r) = 6*r**3 - 88*r**2 - 2180*r - 19690. Let z = -551 - -558. Let v(i) = -5*i**3 + 87*i**2 + 2181*i + 19689. Let k(t) = z*v(t) + 6*y(t). Factor k(b).
(b + 27)**3
Factor -626 - 496*h**2 - 78*h**3 + 1960*h - 899 - 427 + 80*h**3.
2*(h - 244)*(h - 2)**2
Suppose 2*j = 2*y + 10, -5*j + 2*y + 26 = 7. Let p = -209 + 211. What is t in 2 + 25*t**4 - t - 27*t**4 + 5*t**3 - j*t**p - 1 = 0?
-1/2, 1
Determine b so that 4/7*b**2 + 124/7*b + 232/7 = 0.
-29, -2
Let k(c) be the third derivative of 0*c - 9*c**2 + 0*c**5 + 1/480*c**6 - 1/96*c**4 + 0 + 0*c**3. Solve k(m) = 0.
-1, 0, 1
Find p such that -137*p + 4*p**4 + 401*p - 2*p**2 - 204 - 628 - 264*p**3 - 388 + 1218*p**2 = 0.
-1, 1, 5, 61
Let y be 210/(12/2)*(3 + -1). Suppose -5*h - f + y - 18 = 0, 5*h + 4*f = 58. Factor -5*k + h*k**2 + 1172 - 5*k**3 - 1172.
-5*k*(k - 1)**2
Let v(t) be the third derivative of -208/3*t**3 - 2*t**5 + 18*t**4 + 3*t**2 + t + 0 + 1/30*t**6. What is w in v(w) = 0?
2, 26
Determine v so that 0 + 0*v + v**2 + 0*v**4 + 1/2*v**5 - 3/2*v**3 = 0.
-2, 0, 1
Let y(l) be the first derivative of l**4/2 + 20*l**3/3 - 13*l**2 - 2. Suppose 0 = 22*i - 16*i + 12. Let k(x) = x**3 + x. Let o(h) = i*k(h) - y(h). Factor o(j).
-4*j*(j - 1)*(j + 6)
Solve 217/2*s**2 - 321/2*s - 113/6*s**3 + 0 + 1/6*s**4 = 0 for s.
0, 3, 107
Let w(f) be the second derivative of f**4/54 - 20*f**3/27 + 19*f**2/9 + f + 41. Factor w(j).
2*(j - 19)*(j - 1)/9
Let d(q) be the third derivative of -q**5/240 + 637*q**4/48 - 405769*q**3/24 + 3092*q**2. Factor d(o).
-(o - 637)**2/4
Let i(b) = -6*b**2 + 2*b - 2. Let a be i(1). Let z be (42/27*a)/((-6)/9). Solve -z*l**2 + 8 - 2 + 6*l**2 + 4*l + 2*l**4 - 4*l**3 = 0 for l.
-1, 1, 3
Let 266/9 - 1/9*k**2 - 5/9*k = 0. Calculate k.
-19, 14
Let p = 126 - 98. Suppose 0 = 4*j - 12, 4*w - p = -0*w - 4*j. Suppose 8/5*t**w + 12/5*t**3 + 2/5*t**5 + 8/5*t**2 + 2/5*t + 0 = 0. Calculate t.
-1, 0
Let l(a) be the first derivative of -a**3/2 - 45*a**2/2 + 93*a/2 + 226. Factor l(p).
-3*(p - 1)*(p + 31)/2
Let x be 12/5*(-11)/(-132)*100. Let q(b) be the first derivative of 13 + 5/3*b**3 + 15/2*b**2 - x*b. Factor q(d).
5*(d - 1)*(d + 4)
Let p be 8/2 - (-18 - 17). What is x in p*x**2 + 128*x + 45*x + 42 + 106*x = 0?
-7, -2/13
Let q(j) = -4*j**2 - 1. Let y be q(-1). Let f(h) = -h**2 - 127*h + 122. Let w(x) = -255*x + 245. Let z(n) = y*f(n) + 3*w(n). Find m such that z(m) = 0.
1, 25
Let j(f) = 133*f**2 - 760*f - 4852. Let q(y) = -73*y**2 + 380*y + 2427. Let m(k) = 6*j(k) + 11*q(k). Factor m(n).
-5*(n + 7)*(n + 69)
Let a(b) be the first derivative of 2*b**5 + 31*b**4 - 82*b**3/3 - 26*b**2 - 1494. Factor a(l).
2*l*(l - 1)*(l + 13)*(5*l + 2)
Suppose 123*x = 133*x - 50. Let y(o) be the first derivative of 0*o + 0*o**2 + 3/11*o**6 - 12/55*o**x + 14 - 10/11*o**4 - 16/33*o**3. Factor y(q).
2*q**2*(q - 2)*(3*q + 2)**2/11
Let v = 566 - 155. Let u = 413 - v. Suppose 8/13*d - 2/13*d**u - 6/13 = 0. What is d?
1, 3
What is b in -57/7*b + 3/7*b**2 + 144/7 = 0?
3, 16
Let 1/2*n**2 + 12*n - 1/4*n**3 + 0 = 0. What is n?
-6, 0, 8
Let f be (0 - -61) + (5 - -1). Factor 21*b**3 - 4*b - 8 - f*b**3 + 50*b**3 + 8*b**2.
4*(b - 1)*(b + 1)*(b + 2)
Let o(t) be the third derivative of -t**6/780 - 281*t**5/390 - 4828*t**4/39 + 20164*t**3/13 - 2*t**2 + 13*t + 12. Factor o(f).
-2*(f - 3)*(f + 142)**2/13
Let x(p) be the third derivative of 71*p**2 + 0*p**4 + 1/12*p**6 + 1/10*p**5 + 0*p**3 + 1/45*p**7 + 0*p + 0 + 1/504*p**8. Factor x(d).
2*d**2*(d + 1)*(d + 3)**2/3
Let p be 10*(0 + 3) + 3. Let b = 26 - p. Let g(r) = -6*r**3 - 3*r**2. Let h(o) = -13*o**3 - 6*o**2 - o - 1. Let x(f) = b*g(f) + 3*h(f). Factor x(m).
3*(m - 1)*(m + 1)**2
Let t(l) = 10*l - 24. Let b be t(2). Let a be (4 - -3*b/3)/(-2). Factor 1/2*y + a - 1/2*y**4 + 3/2*y**3 - 3/2*y**2.
-y*(y - 1)**3/2
Let w(u) = -u**3 + 2*u**2 + 6*u + 3. Suppose -k = -5*l - 3 - 2, 0 = 5*l + k + 5. Let i be w(l). Factor m + 2/3*m**2 - 1/3*m**3 + i.
-m*(m - 3)*(m + 1)/3
Let k = 54 - 71. Let i be ((7/(-18))/7)/(k/544). Suppose 2/9 + 32/9*r**2 - i*r = 0. Calculate r.
1/4
Let z(f) be the first derivative of f**3 - 1398*f**2 - 4515. Find p such that z(p) = 0.
0, 932
Let c(i) = i**3 + 2*i**2 + 100*i + 947. Let y be c(-7). Factor -2*q + 2/5*q**y - 12/5.
2*(q - 6)*(q + 1)/5
Let z(t) be the third derivative of -t**8/84 - 16*t**7/105 - 7*t**6/10 - 14*t**5/15 + 10*t**4/3 + 16*t**3 + 1392*t**2. Factor z(v).
-4*(v - 1)*(v + 2)**3*(v + 3)
Suppose 5*z - 8 = u, -u + 0 = -2*z + 2. Suppose -2*q = -2*w - 4 + 16, 12 = -4*w - 5*q. Determine i so that -15*i**u + 9*i**w + 3*i**3 + 2*i**2 + i**3 = 0.
0, 1
Let o be (-14)/(-2) - 4/(288/488). Let j(t) be the first derivative of -8 + 2/3*t**2 - o*t**3 + t - 1/15*t**5 - 1/3*t**4. Let j(a) = 0. What is a?
-3, -1, 1
Factor 0*g**2 + 10/7*g**5 + 16/7*g**4 + 0*g + 0 + 6/7*g**3.
2*g**3*(g + 1)*(5*g + 3)/7
Let u(m) be the second derivative of -m**6/150 + 13*m**5/25 - 209*m**4/15 + 1936*m**3/15 - 3*m - 992. Determine f so that u(f) = 0.
0, 8, 22
Let n = 1 - -1. Let h = 352155/2 - 176077. Factor s**n - 1/2*s - h.
(s - 1)*(2*s + 1)/2
Let v(g) be the third derivative of 32/3*g**3 + 0*g + 65*g**2 + 11/4*g**4 + 0 + 1/30*g**5. Find i such that v(i) = 0.
-32, -1
Let r(p) = p**2 - 13. Let l be r(-4). Suppose -5*o + 7 = l*h, -2*o + 4*h = -0*h - 8. Factor 2*d - 14*d**2 + 21*d**2 + d + 5*d**o.
3*d*(4*d + 1)
Suppose 47 = r + 4221*o - 4217*o, -2*o + 25 = r. Factor 0 + r*l + 7/3*l**3 - 5*l**2 - 1/3*l**4.
-l*(l - 3)**2*(l - 1)/3
Let j = -429 + 447. Factor 12*d**3 + 2*d**4 + 0*d**3 - j*d - 27*d - 19*d.
2*d*(d - 2)*(d + 4)**2
Let u be (36 + -39)/((-12)/20) - 5*1. Let w(p) be the second derivative of -20*p + 0*p**3 + 0 + u*p**2 + 1/12*p**4 + 1/20*p**5. Solve w(n) = 0 for n.
-1, 0
Suppose -1928*g + 966*g + 10582 = 0. Determine o so that g*o + 1/2*o**3 + 23/2*o**2 + 0 = 0.
-22, -1, 0
Let v(t) be the first derivative of -t**8/2520 - t**7/630 + t**6/540 + t**5/90 + t**3 + 4*t**2 + 63. Let m(u) be the third derivative of v(u). Factor m(b).
-2*b*(b - 1)*(b + 1)*(b + 2)/3
Let v(t) be the second derivative of -t**5/20 + 7*t**4/8 - 5*t**3 + 39*t**2/2 + 2*t - 15. Let g(m) be the first derivative of v(m). Factor g(n).
-3*(n - 5)*(n - 2)
Let v(q) = -q**3 - 145*q**2 + 1073*q + 1370. Let z be v(-152). Factor 0 + 2/11*u**z + 16/11*u.
2*u*(u + 8)/11
Let l be ((-915)/(-18300))/(1/5). Suppose 0*f**2 - l*f**3 + 0 - 1/8*f**4 + 0*f = 0. What is f?
-2, 0
Let b(a) = -20*a**2 + 1296*a + 260. Let t be b(65). Solve 642/5*i**4 - 72/5*i**2 + 0 - 21*i**5 + t*i - 12*i**3 = 0.
-2/7, 0, 2/5, 6
Let p(k) = -21*k - 6. Let n be p(-2). Let r = 38 - n. Factor -5*j - 4*j**r + 5*j + 9*j - j.
-4*j*(j - 2)
Let q(k) be the first derivative of -2*k**3/3 + 282*k**2 + 1665. Suppose q(m) = 0. What is m?
0, 282
Suppose 12*t = 45*t - 33. Let m be t - 5 - 200/(-25). Solve 0*u**m + 2/9*u**5 - 4/9*u**3 + 2/9*u + 0*u**2 + 0 = 0.
-1, 0, 1
Let n be 4 + ((-71061)/39 - 4). Let p = n - -1823. Determine x, given that -p + 12/13*x**2 + 2/13*x**3 - 2/13*x = 0.
-6, -1, 1
Solve 3*b**3 + 15/7*b + 6/7*b**4 + 27/7*b**2 + 3/7 = 0 for b.
-1, -1/2
Let r(y) be the first derivative of y**6/40 - 3*y**5/5 + y**2/2 - 12*y + 70. Let h(x) be the second derivative of r(x). Factor h(w).
3*w**2*(w - 12)
Let p be (-4)/1*