1/30*i**4 + 0*i**2 - 95*i + 2 + 11/15*i**3. Factor g(n).
-2*n*(n - 11)/5
Let n be (-2961)/658 - ((-815)/230 + -2). Factor -2/23*c**4 - 90/23*c**2 - n*c**3 - 100/23*c + 0.
-2*c*(c + 2)*(c + 5)**2/23
Let w = -364 - -367. Let v(k) = 105*k**3 - 2560*k**2 + 5005*k - 2430. Let t(u) = -8*u**3 + 197*u**2 - 385*u + 187. Let c(d) = w*v(d) + 40*t(d). Factor c(g).
-5*(g - 38)*(g - 1)**2
Let g(n) be the third derivative of n**7/280 + 3137*n**6/240 + 819541*n**5/60 - 273529*n**4/12 + 148*n**2 - 5*n - 3. Suppose g(t) = 0. What is t?
-1046, 0, 2/3
Let d(i) = -16*i**2 + 4034*i + 2028050. Let u(o) = -29*o**2 + 8067*o + 4056108. Let j(n) = 11*d(n) - 6*u(n). Factor j(a).
-2*(a + 1007)**2
Suppose 369*s = 1054*s - 4110. Let m(h) be the third derivative of 0*h**5 + 0*h + 0*h**4 + 0*h**3 - 1/40*h**s - 35*h**2 + 0. Suppose m(o) = 0. What is o?
0
Determine c, given that c**3 - 2*c**3 + 1304 + 282*c**2 - 2*c**3 + 3*c + 0*c**3 - 1586 = 0.
-1, 1, 94
Let k(u) be the first derivative of 4/3*u**3 + 2/35*u**5 + 8/7*u**2 + 0*u + 1/2*u**4 - 10. Find h, given that k(h) = 0.
-4, -2, -1, 0
Let f be (0/3)/(72 - 74). Let b be 28/(-18)*60/(-35). Factor f - b*s - 2/3*s**3 + 10/3*s**2.
-2*s*(s - 4)*(s - 1)/3
Let c(d) = -8*d**5 - d**4 - 10*d**3 + 34*d**2 - 6*d - 6. Let p(v) = 17*v**5 + v**4 + 21*v**3 - 73*v**2 + 13*v + 13. Let r(q) = -13*c(q) - 6*p(q). Factor r(f).
f**2*(f + 2)**2*(2*f - 1)
Suppose 5*x - 11 = -3*b, -4*b = 6*x - x - 8. Suppose -30*g**4 - g**5 + 61*g**4 - 5*g**3 + 3*g**3 - 4*g**2 - 27*g**x + 3*g = 0. What is g?
-1, 0, 1, 3
Let s = 770 - 763. Let z be 9 + (-2 + 3 - s). Suppose 0 + 2*k**4 + 4/3*k - 2/3*k**5 - 2/3*k**z - 2*k**2 = 0. What is k?
-1, 0, 1, 2
Let j(t) be the third derivative of t**7/1260 + t**6/16 + 7*t**5/15 + 41*t**4/36 + 548*t**2. Suppose j(p) = 0. Calculate p.
-41, -2, 0
Let t be 6/39*481/148. Let m(c) be the first derivative of -2 - t*c**2 + 1/3*c**3 + 1/4*c**4 + 0*c - 1/5*c**5. Factor m(k).
-k*(k - 1)**2*(k + 1)
Suppose 0 = 60*i - 70*i. Let x be 4 - (-14)/(2688/(-696)). Factor -3/8*b + 3/4*b**4 + i*b**3 - 3/4*b**2 + 0 + x*b**5.
3*b*(b - 1)*(b + 1)**3/8
Let z(f) be the second derivative of f**6/120 - f**5/40 - 7*f**4/16 + 31*f**3/12 - 5*f**2 - 1104*f. Suppose z(s) = 0. What is s?
-5, 1, 2, 4
Factor -36*z**2 + 17*z**2 + 14*z**2 + 7*z**2 - 3123*z - 845*z.
2*z*(z - 1984)
Let f(d) be the third derivative of -17*d**3 - 1/20*d**5 - 3*d - 19/8*d**4 + 0 + 19*d**2. Solve f(p) = 0.
-17, -2
Let c(l) be the third derivative of 23/240*l**5 - 1/168*l**7 - 13*l**2 + 0*l + 0 - 43/96*l**4 + 43/480*l**6 - 3/4*l**3. Let c(q) = 0. Calculate q.
-1, -2/5, 1, 9
Let l be 15/10*(4 + -2). Determine v so that -12*v**3 + 5*v**l + 10*v**2 + 12*v**3 = 0.
-2, 0
Suppose -2*a + 9 = 3*a - 2*s, -5*s + 15 = 0. Suppose -a*y - 1 + 10 = 0. Determine o so that -y*o**2 + 40 + 3*o**2 + 48*o + 21*o**2 - 28 = 0.
-2, -2/7
Let m(y) be the first derivative of -5*y**5 - 40*y**4 + 205*y**3 + 135*y**2 + 4048. Factor m(p).
-5*p*(p - 3)*(p + 9)*(5*p + 2)
Let p(l) = -12*l**2 + 63*l + 15. Let q(m) = 5*m**2 - 21*m - 5. Let u(b) = -3*p(b) - 8*q(b). Factor u(c).
-(c + 5)*(4*c + 1)
Factor -2/5*c**2 - 32/5*c - 78/5.
-2*(c + 3)*(c + 13)/5
Let n be ((-16)/(-1580))/((-39)/260). Let t = n - -269/474. Factor t*w**3 + 15/2*w**2 + 49/2 + 63/2*w.
(w + 1)*(w + 7)**2/2
Factor -285891 - 10400*a + 118405 - 1250*a**2 + 145854.
-2*(25*a + 104)**2
Let q = -26317 + 105275/4. Let y(s) be the second derivative of 0 + 415/6*s**3 - 18*s + q*s**5 + 45*s**2 + 30*s**4. Find r, given that y(r) = 0.
-9, -1, -2/7
Let b(g) be the second derivative of -g**6/45 - 14*g**5/5 + 43*g**4/3 - 260*g**3/9 + 29*g**2 + 2*g + 32. Solve b(q) = 0 for q.
-87, 1
Suppose 0 = 10*b - 6*b - 400. Solve 3*y**2 + 60*y + 262 + 138 - b = 0.
-10
Let j be (18 + -23)*(-4)/5. Factor 0*b - 461 - 4*b + 4*b**3 + j*b**2 + 457.
4*(b - 1)*(b + 1)**2
Let a be 2 - (46/(-5) - (89 + -50 - 47)). Let b be 15/6*(-16)/(-10). Let 8/5 - 76/5*f**b + a*f**5 + 4/5*f - 76/5*f**2 + 124/5*f**3 = 0. What is f?
-1/4, 1, 2
Factor 377*j**2 - 12*j**4 + 5*j**5 - 113*j + 4*j**3 + 104*j - 367*j**2 + 2.
(j - 1)**3*(j + 1)*(5*j - 2)
Let r(s) be the third derivative of -11*s**5/210 + 39*s**4/28 + 44*s**3/21 + 1273*s**2. Factor r(j).
-2*(j - 11)*(11*j + 4)/7
Let v(q) = -8*q**4 - 230*q**3 + 475*q**2 - 243*q. Let b(a) = -15*a**4 - 460*a**3 + 950*a**2 - 485*a. Let l(h) = -3*b(h) + 5*v(h). Factor l(n).
5*n*(n - 1)**2*(n + 48)
Factor -5/2*h**3 + 21/2*h - h**2 - 1/4*h**4 - 27/4.
-(h - 1)**2*(h + 3)*(h + 9)/4
Let r = -206886 - -206888. Factor -1/5*p**3 + 16/5*p - 3/5*p**r - 12/5.
-(p - 2)*(p - 1)*(p + 6)/5
Let z(r) = -r**5 - r**3 + r + 1. Let h = -42 + 45. Let j(p) = 11 + 10*p + 2*p - 3*p**3 - 7*p**h - p - 12*p**5. Let f(x) = 2*j(x) - 22*z(x). Factor f(u).
-2*u**3*(u - 1)*(u + 1)
Let v(w) be the first derivative of w**3/3 - 9*w**2/2 - 51*w + 614. Let h be v(-4). Factor -1/4*n**2 + 3/4*n + h.
-(n - 4)*(n + 1)/4
Let y be -34*19/114 + 6. Let o(l) be the first derivative of -5/16*l**4 + 1/10*l**5 - 35 + y*l**3 - 1/8*l**2 + 0*l. Suppose o(g) = 0. What is g?
0, 1/2, 1
Let q(n) be the first derivative of -n**5/20 - n**4/16 + 2*n**3/3 + 3*n**2/2 + 57. Suppose q(a) = 0. What is a?
-2, 0, 3
Let t(u) be the third derivative of -u**7/1785 - 31*u**6/340 - 368*u**5/85 - 529*u**4/51 + 69*u**2 - u. Find a, given that t(a) = 0.
-46, -1, 0
Suppose -3*k - 7 - 13 = -59, 3*d - 5*k = -59. Factor 0 + 18/7*u + 30/7*u**2 + 2/7*u**4 + d*u**3.
2*u*(u + 1)*(u + 3)**2/7
Determine c so that 83521/4 + 1/4*c**2 - 289/2*c = 0.
289
Suppose 3*v = m - v - 5, 3*m - 15 = -5*v. Suppose -3*u - m = -11. Let -5*q**2 - q**u - 28*q - 24 + 8 = 0. What is q?
-4, -2/3
Let u(k) = -9*k**3 + 233*k**2 + 38*k - 312. Let g be u(26). Factor 2/5*s**2 + g + 2/5*s.
2*s*(s + 1)/5
Suppose 2*i - 31 = p, p = -0*p - 3. Let h be 1 + 5 + ((-5096)/63)/i. Suppose -h*f**2 - 10/9*f + 4/3 = 0. Calculate f.
-6, 1
Let g be (-184)/46 - (-6)/3*2. Let v(l) = -2*l + 20. Let p be v(10). Solve 2/3*d**4 + p - 1/3*d**5 + g*d - 8/3*d**2 + 4/3*d**3 = 0.
-2, 0, 2
Suppose 6*l = 219 + 279. Suppose -l*q + 88*q = 10. Determine w, given that 67*w - 2*w**2 - w**q - 64*w = 0.
0, 1
Let m = -1431 + 2289. Suppose 462 - m = -11*g. Suppose g*v**4 + 128/7*v**3 + 16/7*v**2 + 0 + 0*v = 0. Calculate v.
-2/7, -2/9, 0
Suppose 4*q + 8 = -14*d, -175*d - 5*q - 39 = -172*d. Solve 18*w + 0 + 44*w**3 - 105/2*w**d - 8*w**4 = 0.
0, 3/4, 4
Let u = 20639/29 + -54812/87. Factor -10/3*z**2 + 485/3*z + u.
-5*(z - 49)*(2*z + 1)/3
Let h(z) = -10*z**2 + 30*z + 10. Let q(n) = -2*n. Let i(l) = -h(l) - 5*q(l). Let t(o) = -7*o**2 + 19*o + 11. Let u(p) = -3*i(p) - 4*t(p). Factor u(g).
-2*(g + 1)*(g + 7)
Suppose 24*t = -8*t + 64. Suppose -t*x = -b - x + 4, 16 = 5*b - 4*x. Determine v, given that 1/4*v**2 - v + b = 0.
0, 4
Let f(n) be the third derivative of -n**4/4 - 5*n**3/2 - 22*n**2. Let q be f(-3). Factor -25*o**4 + o**3 + 7*o**q + 23*o**4 - 8*o**2.
-2*o**2*(o - 2)**2
Let m(h) be the second derivative of -h**4/24 - 5*h**3/2 - 2128*h. Factor m(z).
-z*(z + 30)/2
Solve -340*g**3 - 750*g**2 - 2*g**4 - 248*g - 498*g - 248 + 86*g**3 = 0 for g.
-124, -1
Let t(r) be the first derivative of -3*r**4/20 + 17*r**3/5 - 57*r**2/5 - 168*r/5 + 2835. Factor t(a).
-3*(a - 14)*(a - 4)*(a + 1)/5
Let c(d) be the first derivative of d**3/12 + 19*d**2/8 - 1183. Let c(w) = 0. What is w?
-19, 0
Let x(z) be the second derivative of -z**4/54 - 232*z**3/27 + 2*z + 126. Factor x(n).
-2*n*(n + 232)/9
Let c(g) be the first derivative of -7/8*g**2 + 0*g + 187 - 1/5*g**5 - 5/3*g**3 - 9/8*g**4 + 1/24*g**6. Determine f, given that c(f) = 0.
-1, 0, 7
Factor 0*y + 2013/4*y**4 + 3/4*y**5 + 0 + 1005/2*y**3 + 0*y**2.
3*y**3*(y + 1)*(y + 670)/4
Let w(i) be the first derivative of i**6/3 - 156*i**5/5 + 973*i**4 - 8856*i**3 - 54675*i**2 - 78732*i - 7727. Suppose w(g) = 0. Calculate g.
-2, -1, 27
Let d(r) be the first derivative of 3/11*r**4 - 2/55*r**5 + 12/11*r**2 - 26/33*r**3 - 8/11*r + 8. Factor d(s).
-2*(s - 2)**2*(s - 1)**2/11
Let l(g) = 55*g**3 + 732*g**2 + 300*g - 4. Let t(i) = 1044*i**3 + 13908*i**2 + 5688*i - 75. Let k(v) = -75*l(v) + 4*t(v). Determine o, given that k(o) = 0.
-14, -6/17, 0
Let g(i) be the second derivative of i**4/8 + 129*i**3/4 + 381*i**2/2 + 5161*i. Factor g(n).
3*(n + 2)*(n + 127)/2
Let a(d) be the first derivative of d**6/21 + 8*d**5/