) = -450*a**2 - 553*a + 1028. Let t(c) = -3*m(c) - 25*r(c). Let t(p) = 0. Calculate p.
-58/25, 1
Suppose -6*o - 9*o + 30 = 0. Factor -o*d**2 + 2*d**2 + 64*d**4 + 17*d**3 - d**3 - 36*d**5.
-4*d**3*(d - 2)*(9*d + 2)
Let b(y) be the third derivative of -1/120*y**6 + 7*y**2 + 0*y**3 + 0*y - 1/120*y**5 + 0 - 1/420*y**7 + 0*y**4. What is f in b(f) = 0?
-1, 0
Let l(t) be the third derivative of -t**6/64 - 167*t**5/160 + 1177*t**4/32 + 121*t**3/2 + 1339*t**2 + t - 3. Determine i, given that l(i) = 0.
-44, -2/5, 11
Let m(v) = -1077*v - 13999. Let o be m(-13). Solve -1/3*b**2 + 7/3 + o*b = 0.
-1, 7
Let l(m) = 5*m + 12. Let h be l(-2). Find n such that -20*n**2 - n + 11*n**2 - n + 10*n**h = 0.
0, 2
Let d(o) = 2*o - 3*o**4 - o + 3*o - 9*o**2 + 4*o**4. Let z(g) = g**4 - 9*g**2 + 5*g. Let f(l) = 5*d(l) - 4*z(l). Factor f(w).
w**2*(w - 3)*(w + 3)
Let x(o) = 65*o**2 + 4966*o + 3030743. Let y(g) = -3*g**2 - 2*g - 1. Let h(j) = 2*x(j) + 42*y(j). Factor h(r).
4*(r + 1231)**2
Factor -115*r + 20 + 15*r**3 - 35*r**2 - 144*r + 259*r.
5*(r - 2)*(r - 1)*(3*r + 2)
Suppose -357 = 5*f + 2*q, 9*f - 5*q + 350 = 4*f. Let a be (f/213)/(1/(-9)). Solve 0 + 3/5*w**a + 0*w - 1/5*w**2 + 1/5*w**5 - 3/5*w**4 = 0.
0, 1
Suppose 4*p - 37 = 5*z, -11*p + 4*z + 35 = -6*p. Let b be (1 - 1)/((-2)/(-1 + 3)). Factor 33/2*y**p - 3*y**2 - 15/2*y**4 + b + 0*y.
-3*y**2*(y - 2)*(5*y - 1)/2
Let m be 440/(-4290)*36/(-3). Factor m - 36/13*s - 10/13*s**2.
-2*(s + 4)*(5*s - 2)/13
Suppose -4*k + 0*k = -16. Let r(z) = 23*z - 179. Let a be r(8). Factor -a*o**2 + 4*o**2 + o**2 - 4*o**2 + k*o.
-4*o*(o - 1)
Let g(r) be the second derivative of -128*r**6/3 - 3792*r**5/5 - 18243*r**4/5 + 5688*r**3/5 - 648*r**2/5 - 1943*r. Let g(j) = 0. Calculate j.
-6, 3/40
Let q = -489 - -494. Suppose 110*n**4 + 75*n + 3*n**5 + 46 + 44 - 50*n**3 - 200*n**2 + 6*n**q - 34*n**5 = 0. What is n?
-1, -3/5, 1, 2, 3
Let j = 815 - 806. Let 72*i**2 - 44*i**2 - 31*i**2 + 12 + j*i = 0. What is i?
-1, 4
Let a be 11 + 259/1776*-66. Factor 1/8*t**4 - 21/8*t**2 + 0 - a*t - 9/8*t**3.
t*(t - 11)*(t + 1)**2/8
Let x = -56297 + 56297. Determine s, given that x - 2/5*s + 2/5*s**2 = 0.
0, 1
Let j be (74/(-740))/((-24)/160). Factor -j*g**3 - 2/15*g**5 + 0*g + 4/15*g**2 + 0 + 8/15*g**4.
-2*g**2*(g - 2)*(g - 1)**2/15
Let d(u) be the first derivative of 6*u**5/5 - 4*u**4 + 14*u**3/9 + 8*u**2 - 32*u/3 - 1197. Suppose d(y) = 0. What is y?
-1, 1, 4/3
Let l(x) be the first derivative of 2*x**6/3 + 11*x**5/4 + 5*x**4/2 - 19*x + 54. Let s(u) be the first derivative of l(u). Solve s(w) = 0.
-2, -3/4, 0
Let t be (10/(-6))/((-45)/54). Let v be -1 + t - (-2028)/26. Factor -5*o**3 - v*o**4 + 6 - 8*o + 42*o**4 + 35*o**4 + 13*o**3 - 4*o**2.
-2*(o - 3)*(o - 1)**2*(o + 1)
Solve -31/5*m**4 + 47/5*m**2 - 16/5 - m**5 + 79/5*m**3 - 74/5*m = 0 for m.
-8, -1, -1/5, 1, 2
Let k(n) be the third derivative of -n**5/15 - 347*n**4/6 - 460*n**3 + 20*n**2 + 63*n. Determine a so that k(a) = 0.
-345, -2
Let i = 696 - 144. Let c = 556 - i. Let -36/5*v + 9/5*v**3 + 26/5*v**2 - 7/5*v**c + 8/5 = 0. What is v?
-2, 2/7, 1, 2
Let b be 20/6 - 109904/35952. Let o = b + 1/107. Factor -16/7*u**2 - 36/7 - 6*u - o*u**3.
-2*(u + 2)*(u + 3)**2/7
Let w be (-10 - (-1 + -5)) + 88/21. Let n(v) be the third derivative of 0*v**3 + 0*v - 13*v**2 + 0 + w*v**5 + 2/21*v**4 + 5/42*v**6. Factor n(m).
4*m*(5*m + 2)**2/7
Let m(w) be the second derivative of -w**4/30 + 212*w**3/15 + 213*w**2/5 - 2339*w. Factor m(n).
-2*(n - 213)*(n + 1)/5
Let g(m) = -m**4 - 3*m**2 - 3. Let p(a) = -6*a**4 - 32*a**3 - 74*a**2 - 40*a - 6. Let n(f) = 2*g(f) - p(f). Solve n(u) = 0.
-5, -2, -1, 0
Let -7695/7 - 2556/7*f + 3/7*f**2 = 0. Calculate f.
-3, 855
Suppose 17*i - 65 = 20. Suppose -3*k + 5*k + 25 = -i*o, 3*k - 3*o = 15. Let k - 3*m**2 - 3/2*m**3 - 3/2*m = 0. What is m?
-1, 0
Let k(d) be the first derivative of -d**5/4 + 5*d**4/4 - 5*d**3/2 + 5*d**2/2 - 36*d - 52. Let a(r) be the first derivative of k(r). Factor a(w).
-5*(w - 1)**3
Suppose -4*u = 3*x - 149, -2 - 80 = -2*u - 4*x. Let j = u + -30. Find r, given that -r - 55 - 29*r - j*r**2 + 10 = 0.
-3
Let g = -44 + 43. Let x be (-6)/((-4*9/(-12))/g). What is h in 31 - 69 + 50 - 2*h - x*h**2 = 0?
-3, 2
Let h(u) be the third derivative of -u**7/105 - 11*u**6/20 - 163*u**5/15 - 101*u**4 - 456*u**3 + 7*u**2 - 3*u - 22. Factor h(t).
-2*(t + 2)*(t + 6)**2*(t + 19)
Let d(q) be the first derivative of -2*q**3/27 + 2*q**2/9 + 16*q/9 + 512. Factor d(u).
-2*(u - 4)*(u + 2)/9
Let i(j) be the second derivative of j**5/70 - 125*j**4/42 - 13*j - 96. Factor i(d).
2*d**2*(d - 125)/7
Let q be (22/6)/(3222/54)*-1. Let x = q + 2291/2327. Find t, given that -x*t + 0 + 2/13*t**5 + 6/13*t**4 - 30/13*t**3 + 34/13*t**2 = 0.
-6, 0, 1
Let j(y) = -15*y**2 + 82*y + 10. Let r(u) = -8*u**2 + 41*u + 6. Suppose 21*a + 217 = -10*a. Let b(p) = a*r(p) + 3*j(p). Find c such that b(c) = 0.
-3/11, 4
Let a(g) = g**3 - 16*g**2 + 13*g + 34. Let c be a(15). Suppose c*r = 26 - 18. Suppose 6*b**r + 93*b**3 + b + 8*b + 3*b**5 - 105*b**3 - 8 + 2 = 0. What is b?
-2, -1, 1
Factor 186*l**2 - 468 - 204 - 102*l + 90*l**3 - 258*l + 3*l**4 - 30*l**2.
3*(l - 2)*(l + 2)**2*(l + 28)
Suppose -5*w + 2*w = w. Let 17*c**2 - 3*c**2 - 4*c + w*c**2 - 24 - 10*c**2 = 0. Calculate c.
-2, 3
Let y(t) = -t**3 - 52*t**2 - 28*t - 1456. Let d be y(-52). Factor d - 1/2*i**3 + 1/2*i**2 + 0*i.
-i**2*(i - 1)/2
Factor 0 + 1/10*b**4 + 57/10*b**2 + 7/5*b**3 + 36/5*b.
b*(b + 3)**2*(b + 8)/10
Solve -25/7 + 1/7*k**2 + 24/7*k = 0 for k.
-25, 1
Let j(z) be the second derivative of -z**4/48 - z**3/6 + 77*z**2/8 + 746*z. Let j(r) = 0. What is r?
-11, 7
Let s = -5 - -2. Let c be ((-1)/s)/((10/6)/5). Let w(a) = 7*a**2 - 18*a + 13. Let f(h) = -h**2 - h + 1. Let l(q) = c*w(q) + 2*f(q). Solve l(u) = 0.
1, 3
Let z(r) = -r**2 + 518*r + 5283. Let a be z(-10). Factor 1/3*i**4 + 2/3*i**a + 1/3 - 1/3*i**5 - 2/3*i**2 - 1/3*i.
-(i - 1)**3*(i + 1)**2/3
Let k(u) = 7*u + 116. Let m be k(-13). Factor 3*x + 8 - 16*x + 28*x + 126*x**2 + 24*x**3 + 45*x + m*x**3.
(x + 2)*(7*x + 2)**2
Let l be (4 - 7540/2457) + ((-880)/216 - -4). Factor l*k**2 + 48/7 - 76/7*k.
2*(k - 12)*(3*k - 2)/7
Factor -2*k**2 - 1/2*k**3 + 63 + 59/2*k.
-(k - 7)*(k + 2)*(k + 9)/2
Let n = 5139 + -46249/9. Let j(o) be the first derivative of -10 + 4/3*o**2 - n*o**3 - 2*o. Factor j(v).
-2*(v - 3)*(v - 1)/3
Suppose 308*a - 431/7 - 5/7*a**2 = 0. Calculate a.
1/5, 431
Let u(g) be the second derivative of -32*g**6/15 + 13*g**5/5 + 19*g**4/3 - 26*g**3/3 - 6*g**2 - 1263*g. Find c such that u(c) = 0.
-1, -3/16, 1
Let h = 1291 - 1254. Suppose 33*a - h*a + 5*p = -12, -5*p + 6 = 2*a. What is x in -4/7*x**2 - 1/7*x**a - 5/7*x - 2/7 = 0?
-2, -1
Let v(d) be the first derivative of -49*d**4 - 644*d**3/3 - 30*d**2 + 900*d + 9861. Factor v(r).
-4*(r - 1)*(7*r + 15)**2
Let f be 6/(-45) - ((-3317)/963)/((-5)/(-6)). Suppose -3*v**2 + 0*v**f - 6*v**3 + 9/2*v + 3/2*v**5 + 3 = 0. Calculate v.
-1, 1, 2
Let f(t) be the second derivative of 33*t + 1/12*t**2 + 1/18*t**3 + 0 - 1/24*t**4. Suppose f(n) = 0. Calculate n.
-1/3, 1
Let r be (9 - 0)*(-28)/(-84). Suppose 8*s**2 - s**3 + 13*s - 7*s**3 + s**3 + 8*s**r + 6 = 0. Calculate s.
-6, -1
Suppose -9*m + 438 = -4*m - 4*g, -2*m - 4*g = -192. Suppose -4*w + m = w. Factor -w - 8*x**2 - 12 + 38 + 30*x.
-2*(x - 4)*(4*x + 1)
Suppose 467*q + 1945*q - 179*q = 4466. What is u in -2*u + 1/2*u**3 + 3/10*u**q - 6/5 = 0?
-2, -3/5, 2
Let p = 13104 + -13104. Let w(a) be the second derivative of 5/3*a**3 + 0*a**2 - 1/10*a**5 - 2/3*a**4 + p - 29*a. Factor w(k).
-2*k*(k - 1)*(k + 5)
Let a(m) be the first derivative of -43/3*m**3 + 9/4*m**4 + 66 - 12*m - 32*m**2. Solve a(h) = 0 for h.
-1, -2/9, 6
Suppose z + 2 = 18. Suppose 0 = 5*x + 5, -3*c + 4*x = -0*c - 13. Factor 15*y**3 - z*y**c + 9*y**2 + 7*y**3 + 2*y + y**3.
y*(y + 1)*(7*y + 2)
Let a(q) = 7*q**2 + 17*q + 14. Suppose 9*g - 31 = 5. Let n(x) = -13*x**2 - 35*x - 29. Let p(r) = g*n(r) + 7*a(r). Suppose p(i) = 0. Calculate i.
-6, -1
Let u(n) be the second derivative of 0*n**3 + 11/10*n**6 + 7*n**4 - 1/14*n**7 + 0*n**2 - 24/5*n**5 + 11 - 7*n. Factor u(l).
-3*l**2*(l - 7)*(l - 2)**2
Factor 501/2*i - 1/8*i**2 - 251001/2.
-(i - 1002)**2/8
Let l(o) be the first derivative of -2/3*o - 2/15*o**5 + 4/9*o**3 - 86 - 1/45*o**6 - 1/15*o**2 + 1/15*o**4. Solve l(i) = 0 for i.