 -0*z. Let n be -1 - z - -33 - (0 + 1). Factor -2*j**2 + 1 + 3*j**2 - n*j + 18*j + 12*j.
(j - 1)**2
Suppose -959 = -n - 2*n + 5*q, 4*n - 3*q = 1275. Let g = 318 - n. Suppose 3/7*z**2 + 6/7*z + g = 0. What is z?
-2, 0
Let l(s) = 8*s**3 - 78*s**2 + 71*s - 16. Let o(a) = -50*a**3 + 469*a**2 - 425*a + 95. Let h = -108 + 114. Let v(j) = h*o(j) + 39*l(j). Factor v(m).
3*(m - 18)*(2*m - 1)**2
Let d(j) = j**2 + 19. Let s(a) = -3*a**2 + 188*a + 479. Let k(g) = -4*d(g) - s(g). Determine y so that k(y) = 0.
-185, -3
Let y be 5 + 2*(2 + -4). Let u(k) = 18*k - 1. Let l be u(y). Factor 5*o**2 + 15*o + 0 + 5 - 22*o + l*o.
5*(o + 1)**2
Let a(s) = 464*s - 82128. Let u be a(177). Factor -22/5*f**2 - 4/5*f + u.
-2*f*(11*f + 2)/5
Let l = -19252/5 - -173488/45. Solve 2/3*z - 40/9*z**4 - 4/9 + l*z**2 - 2/3*z**3 = 0.
-1, -2/5, 1/4, 1
Factor 3456 - 480*a + 50/3*a**2.
2*(5*a - 72)**2/3
Let j(d) be the first derivative of -d**3/7 + 99*d**2/7 - 81*d + 3191. Factor j(c).
-3*(c - 63)*(c - 3)/7
Let g(u) be the first derivative of u**3/9 + 46*u**2/3 + 2116*u/3 - 834. Factor g(r).
(r + 46)**2/3
Solve 70*w + 25/3 + 147*w**2 = 0.
-5/21
Let c = -501/68 + 444/17. Let s be -19 + 23 + (-30)/8. Solve -125/4 - c*n - 15/4*n**2 - s*n**3 = 0 for n.
-5
Let l be (-2 - (-2 - -3))/(31/(-62)). Let 536*y - 5*y**3 - 1082*y + 561*y - 4 - l = 0. Calculate y.
-2, 1
Let d = -776/19 + 7022/171. Let q(g) be the first derivative of d*g**3 + 1/6*g**4 - 2/3*g - 1/3*g**2 - 10. Factor q(y).
2*(y - 1)*(y + 1)**2/3
Let b(k) be the first derivative of -3*k**5/25 + 147*k**4/10 - 564*k**3/5 + 1668*k**2/5 - 2208*k/5 - 2752. What is i in b(i) = 0?
2, 92
Let o(a) = -4*a - 107. Let z be o(-23). Let b be ((-2)/z)/((22/(-99))/(-1)). Let -b*q**3 + 0*q**2 + 6/5 + 9/5*q = 0. Calculate q.
-1, 2
Let a = -66524 - -66524. Let a + 2/15*i**2 - 22/15*i = 0. Calculate i.
0, 11
Let -760/11*c + 800/11 + 6/11*c**5 - 672/11*c**2 + 754/11*c**3 - 128/11*c**4 = 0. What is c?
-1, 1, 4/3, 10
Let m be 2563/484 - 6/8. Let j = -30692/11 + 2792. Determine q, given that -m - j*q - 2/11*q**2 = 0.
-5
Suppose -12288 + 376/3*b**4 - 16906/3*b**3 - 30464*b - 2/3*b**5 - 71812/3*b**2 = 0. Calculate b.
-2, -1, 96
Determine c so that -3*c**4 - 19*c**4 + 57*c**2 + 49 + c**4 + 204*c - 63*c**3 + 3*c**5 + 59 = 0.
-2, -1, 2, 9
Let b(f) be the first derivative of 9*f**7/280 + f**6/40 - f**5/5 - f**4/2 + 82*f**3/3 + f**2 - 178. Let s(i) be the third derivative of b(i). Factor s(r).
3*(r - 1)*(3*r + 2)**2
Let v be -19 - -4 - 62/(-4). Let g(o) = -2*o**2 + 24*o - 22. Let u be g(11). Factor -v + r**3 - r + 1/2*r**4 + u*r**2.
(r - 1)*(r + 1)**3/2
Let i(x) be the third derivative of x**5/60 + 5*x**4/6 + 6*x**3 + 116*x**2. Let i(g) = 0. What is g?
-18, -2
Let f(x) be the second derivative of x**6/25 + 21*x**5/100 - 13*x**4/10 - 67*x**3/10 + 126*x**2/5 - 18*x - 9. Find j such that f(j) = 0.
-4, -7/2, 1, 3
Let t(f) be the second derivative of 0 - 47/12*f**3 - 29/12*f**4 + 7/40*f**5 - 50*f + 9/2*f**2. Factor t(z).
(z - 9)*(z + 1)*(7*z - 2)/2
Let f(l) be the second derivative of -l**6/40 + 3*l**4/8 + l**3 - 13*l**2 - 2*l - 36. Let h(y) be the first derivative of f(y). Solve h(m) = 0 for m.
-1, 2
Let o(t) be the second derivative of -5*t**3/2 + 12*t**2 - 57*t + 1. Let g(u) = u**2 - u + 1. Let h(n) = 3*g(n) + o(n). Factor h(z).
3*(z - 3)**2
Let h = 134310 + -134308. Find g such that -1/6*g**h + 1/2*g + 0 = 0.
0, 3
Suppose 16897 - 9879 = 29*o. Solve -o - 2/9*h**2 + 44/3*h = 0.
33
Let j be (-18)/81*-3*(-4)/24*-18. Find g, given that 8/13*g + 2/13*g**4 + 0 - 8/13*g**3 - 2/13*g**j = 0.
-1, 0, 1, 4
Let u(w) = w**4 + w**3 + 11*w**2 + w - 1. Let h(o) = -8*o**4 + 56*o**3 - 220*o**2 - 244*o + 4. Let r(m) = -h(m) - 4*u(m). Suppose r(v) = 0. Calculate v.
-1, 0, 6, 10
Let f be (11/(-22))/(1/(-10)). Determine k so that -11*k**4 - 11*k**5 + 5*k**f + 4*k**2 - 6*k**3 - 5*k**4 = 0.
-2, -1, 0, 1/3
Suppose -3*u - 2364 = o, 13265 - 1407 = -5*o + 4*u. Let l = -2368 - o. Factor 0*g - 2/5*g**3 + 0 + l*g**2.
-2*g**2*(g - 5)/5
Let n(p) be the third derivative of 28*p**2 + 29/20*p**4 - 19/30*p**5 + 0 + 5/21*p**7 + 0*p - 6/5*p**3 - 1/4*p**6. Suppose n(r) = 0. Calculate r.
-1, 2/5, 3/5
Let u(s) be the first derivative of -2*s**3/3 - 1001*s**2 + 2004*s + 3493. Factor u(h).
-2*(h - 1)*(h + 1002)
Let l(a) be the second derivative of -a**4/36 - 23*a**3/6 - 34*a**2/3 + 19*a + 4. Factor l(u).
-(u + 1)*(u + 68)/3
Suppose 617*c + 170*c - 319*c = -1048*c. Factor 2/9*k + 4/9*k**2 + 0*k**3 + c - 4/9*k**4 - 2/9*k**5.
-2*k*(k - 1)*(k + 1)**3/9
Let o be 48444/5382 + -10 + 1. Let a = o - -1195/897. Solve 8/3 - a*c**2 - 4/3*c = 0.
-2, 1
Let j(q) = -12*q**3 - 77*q**2 - 864*q - 3461. Suppose -27 - 21 = -16*y. Let l(m) = 7*m**3 + 39*m**2 + 432*m + 1731. Let k(u) = y*j(u) + 5*l(u). Factor k(i).
-(i + 12)**3
Let k(s) be the first derivative of -s**3 - 156*s**2 + 315*s + 598. Factor k(w).
-3*(w - 1)*(w + 105)
Let o(q) = 364*q - 728. Let x be o(2). Let y(p) be the third derivative of 0*p**3 + 1/30*p**5 + x*p + 1/300*p**6 + 1/15*p**4 + 0 + 3*p**2. Factor y(b).
2*b*(b + 1)*(b + 4)/5
Let y be 4/(14 - 2) + 20/12. Let j(h) be the first derivative of -1/13*h**y + 10 + 0*h**3 + 0*h + 1/26*h**4. Factor j(f).
2*f*(f - 1)*(f + 1)/13
Suppose -d + 0*b - 7 = 3*b, 0 = -5*d - b - 105. Let n be d/(-20) + (-141)/235. Factor 3*j + n*j**3 + 0 + 7/2*j**2.
j*(j + 1)*(j + 6)/2
Let p = 21/20656 + 2117177/61968. Solve 10/3 + p*i**2 - 70*i = 0.
2/41, 2
Let f(g) be the first derivative of -99 + 54/7*g + 1/7*g**3 + 33/14*g**2. Determine r so that f(r) = 0.
-9, -2
Let k(g) be the third derivative of -14 + 2*g**2 - 1/60*g**5 + 17/6*g**3 + 2/3*g**4 + 0*g. Factor k(y).
-(y - 17)*(y + 1)
Let s(a) be the first derivative of -a**4/4 + a**3 + 33*a**2/2 - 35*a - 302. Factor s(h).
-(h - 7)*(h - 1)*(h + 5)
Suppose 984/19*g - 30258/19*g**2 - 8/19 = 0. Calculate g.
2/123
Let d(c) = c**2 - 16 - c**2 + 13*c - 5*c + c**2. Let y be d(5). Factor 11*b**3 + 2*b - 32*b**2 + 11*b**3 - y*b**4 + 2*b + 55*b**3.
-b*(b - 1)*(7*b - 2)**2
Let v(k) = -k**3 - k**2 - 36*k + 227. Let z be v(4). Let c(a) be the second derivative of -13/12*a**z + 1/2*a**2 + 5/6*a**4 - 9/40*a**5 + 29*a + 0. Factor c(q).
-(q - 1)**2*(9*q - 2)/2
Let b(q) = -19*q**2 + 3*q + q**4 - 16*q**2 - 198*q**3 + 158*q**3. Let j(c) = 2*c**4 + c. Let f(p) = -b(p) + 3*j(p). Factor f(t).
5*t**2*(t + 1)*(t + 7)
Let p(t) = t**3 - 6*t**2 - t + 8. Let s(i) = -4*i + 2. Let j be s(-1). Let o be p(j). Solve -o + 0*x**5 - 2*x**3 - 188*x**2 + 192*x**2 + x**5 + x - 2*x**4 = 0.
-1, 1, 2
Suppose -9 = -3*q - 4*m, -2*q + 2*m - 12 = -6*q. Suppose -9*u = 4*v - 5*u + 4, 4*u = q*v - 25. Factor 0*z**2 - 8/7*z + 0 + 2/7*z**v.
2*z*(z - 2)*(z + 2)/7
Let z(o) = 14 + 77*o**2 + 4*o + 9*o - 78*o**2. Let h be z(14). What is t in 33*t - 34*t - 1 + h + t**3 + t**2 = 0?
-1, 1
Let a(p) = 46*p**2 - 47*p - 471. Let o(l) = 21*l**2 - 23*l - 233. Let q(u) = 5*a(u) - 11*o(u). Find b, given that q(b) = 0.
-8, 26
Let b(h) be the second derivative of 0*h**2 + 49*h + 0*h**3 - 1/75*h**6 + 0 + 0*h**5 + 1/30*h**4. Factor b(q).
-2*q**2*(q - 1)*(q + 1)/5
Let s be (12 + (-255)/30)/(2/8). Suppose 2*h = 5*c - 12, -c = -13*h + s*h - 1. Factor 2 + 2/5*p - 2/5*p**3 - c*p**2.
-2*(p - 1)*(p + 1)*(p + 5)/5
Suppose -q + 67 = -5*i - 139, -4*q = -i - 45. Let n = 45 + i. Let -35*k**2 + 12*k**5 - 8*k**4 - 57*k**n + 0*k + 75*k**3 + 8*k**5 + 5*k = 0. What is k?
0, 1/4, 1
Let x = 97103/35 - 10875/7. Let l = -1219 + x. Factor -l*p**2 - 3*p - 1/5*p**3 + 5.
-(p - 1)*(p + 5)**2/5
Let v be (-292)/(-98) - 989/(-48461). Factor 0*z + 0*z**v - 2/3*z**5 + 0 + 2/3*z**4 + 0*z**2.
-2*z**4*(z - 1)/3
Let n(j) be the second derivative of 0 - 53*j + 5/3*j**2 - 5/18*j**4 + 5/12*j**5 - 25/18*j**3. Let n(h) = 0. What is h?
-1, 2/5, 1
Let r be 120/50 - 20/50. Let f(a) be the second derivative of 1/12*a**4 - 1/2*a**3 - 9*a - r*a**2 + 0. Factor f(v).
(v - 4)*(v + 1)
Let s = -285667 - -285667. Solve 4/9*a**4 - 4/9*a**2 + 2/3*a**5 - 8/9*a**3 + 2/9*a + s = 0 for a.
-1, 0, 1/3, 1
Determine s, given that -21 - 11/6*s + 1/6*s**2 = 0.
-7, 18
Let w(z) = 5*z**4 - 2365*z**3 - 2364*z**2 - 2*z + 72. Let m(v) = 26*v**4 - 11827*v**3 - 11820*v**2 - 11*v + 396. Let g(b) = -2*m(b) + 11*w(b). Factor g(p).
3*p**2*(p - 788)*(p + 1)
Let y(i) be the first derivative of -2*i**3/15 + 58*i**2/5 + 1056*i/5 + 765. Facto