4/32 - 2*a**2 + 43. Suppose f(m) = 0. What is m?
0, 5, 9
Let t(k) be the second derivative of k**5/130 + 3035*k**4/78 + 767096*k**3/13 - 2304324*k**2/13 - 3*k - 1366. Factor t(h).
2*(h - 1)*(h + 1518)**2/13
Factor -1/3*i**5 - 34/3*i**2 + 4*i**4 - 26/3 - 21*i + 16/3*i**3.
-(i - 13)*(i - 2)*(i + 1)**3/3
Let j be 51/2*(13 - 5)/(-2). Let g = 110 + j. Factor 4*z**4 + 52*z**3 - 106*z**3 - g*z**2 + 58*z**3.
4*z**2*(z - 1)*(z + 2)
Let c(w) be the third derivative of -8/3*w**3 - 1/15*w**5 + 15*w**2 + 2/3*w**4 + 0*w + 0. Suppose c(o) = 0. What is o?
2
Let m(l) be the first derivative of l**6/3 + 2*l**5 + 2*l**4 + 710. Let m(y) = 0. Calculate y.
-4, -1, 0
Let m(y) = -4*y**4 - 1479*y**3 - 726186*y**2 - 119095485*y - 6. Let v(r) = -r**4 - r**3 + 2*r**2 + r - 2. Let f(u) = 4*m(u) - 12*v(u). Factor f(a).
-4*a*(a + 492)**3
Let b = -93583/3 + 31195. Factor 0*w + 0 - 1/3*w**5 - 1/3*w**3 + 0*w**2 + b*w**4.
-w**3*(w - 1)**2/3
Suppose 4/3*s + 43/6*s**5 - 87/2*s**3 - 64/3*s**4 + 0 + 169/3*s**2 = 0. Calculate s.
-2, -1/43, 0, 1, 4
Let k(m) be the first derivative of -28 - 12/5*m**5 + 6*m**3 - 1/2*m**6 - 3/4*m**4 + 0*m + 0*m**2. Suppose k(g) = 0. Calculate g.
-3, -2, 0, 1
Suppose -3*u + x = 2*u - 7, -3*x + 17 = 4*u. Factor 8801*a**2 + 11 + 20*a - 67 - 8797*a**u.
4*(a - 2)*(a + 7)
Let m(u) be the second derivative of 3/40*u**5 - 1/15*u**6 + 11*u - 1/3*u**3 + 1/6*u**4 + 0*u**2 - 1 + 1/84*u**7. Factor m(s).
s*(s - 2)**2*(s - 1)*(s + 1)/2
Let x = 2742 + -2731. Let t(m) be the second derivative of -10/3*m**3 - x*m + 0 - 1/3*m**4 + 0*m**2. Solve t(p) = 0.
-5, 0
Let -8/7 + 85*r**3 - 36*r**5 + 173/7*r**4 + 150/7*r**2 - 4*r = 0. Calculate r.
-1, -2/7, -1/4, 2/9, 2
Solve -185152 + 4*p**2 - 2300*p - 79348 - 9*p**2 = 0.
-230
Let f(d) be the third derivative of d**8/1512 + 2*d**7/315 + 11*d**6/540 + d**5/45 - 938*d**2. Find n, given that f(n) = 0.
-3, -2, -1, 0
Let n be (-436)/(-763) + (-3)/(-105). Let r(o) be the first derivative of 0*o - 3/20*o**4 - 10 - 3/5*o**2 - n*o**3. Let r(s) = 0. Calculate s.
-2, -1, 0
Factor -3*g**2 - 80*g**2 + 80*g**2 - 93*g + 798.
-3*(g - 7)*(g + 38)
Let k be (-45)/(-9)*(-39)/(-65). Let b(c) be the first derivative of -9 + 2/33*c**k + 128/11*c + 16/11*c**2. Factor b(w).
2*(w + 8)**2/11
Let o(t) be the second derivative of t**4/24 - 95*t**3/4 - 1348*t. Factor o(g).
g*(g - 285)/2
Suppose -135*k = -140*k - 265. Let y = k - -105. Suppose -95*g**3 + y*g + 52*g**4 + 43*g - 65*g**2 + 30 - 17*g**4 = 0. Calculate g.
-1, -2/7, 1, 3
Let l(f) = -18*f**2 - 23*f - 24. Let v(a) = 3*a**2 + a. Let w(b) = -10*b - 59. Let o be w(-6). Let q(i) = o*l(i) + 5*v(i). Factor q(s).
-3*(s + 2)*(s + 4)
Determine g, given that 3/4*g - 3/8*g**3 + 9/8*g**2 - 3/8*g**5 + 0 - 9/8*g**4 = 0.
-2, -1, 0, 1
Let h = 22 + -8. Let y be -1 + h - (7 + -10). Let -y*d - 3*d**2 + 3*d**3 + 16*d = 0. What is d?
0, 1
Let m(u) be the third derivative of -u**5/210 + 23*u**4/42 + 104*u**3/7 - 1370*u**2 - 2. What is p in m(p) = 0?
-6, 52
Let d(r) be the second derivative of 0*r**2 + 0 - 14/3*r**4 - 8/15*r**6 + 23/10*r**5 + 1/21*r**7 + 4*r + 4*r**3. Factor d(b).
2*b*(b - 3)*(b - 2)**2*(b - 1)
Let q be (-1 - 5)*(-355)/710. Determine p, given that -2/9*p**q - 2/3*p**2 + 0*p + 0 = 0.
-3, 0
Let q = -1510 - -983. Let c be 124/q*(-2)/2. Factor c*p + 2/17*p**2 - 6/17.
2*(p - 1)*(p + 3)/17
Let u = 123 - 138. Let v be (-9)/u + 34/10. Factor 3*g**2 + 8*g + v*g + 14*g + 15 - 8*g.
3*(g + 1)*(g + 5)
Suppose 8*r - 5*r = -21*y + 150, -2*y - 4*r = 8. Factor -1/2*l**4 + y*l**3 - 225/2 + 120*l - 47*l**2.
-(l - 5)**2*(l - 3)**2/2
Suppose 895 + 695 = -2*s - 5*m, -3945 = 5*s + 5*m. Let g = s + 797. Factor 9/2*h + 0 + 9*h**3 + g*h**2 - 3/2*h**5 + 0*h**4.
-3*h*(h - 3)*(h + 1)**3/2
Let u(m) be the third derivative of -m**6/480 + 127*m**5/60 - 16129*m**4/24 - 221*m**2 + 3. Factor u(g).
-g*(g - 254)**2/4
Let y be -2 + -8 + (-75)/(-15) - (-11)/2. Let w(c) be the first derivative of 1/27*c**6 - 8 + y*c**4 - 14/27*c**3 - 2/9*c**5 + 0*c + 2/9*c**2. Factor w(g).
2*g*(g - 2)*(g - 1)**3/9
Let w(t) = 3*t**2 - 128*t - 4266. Let h be w(-22). Suppose -1/3*y**h - 1 - 4/3*y = 0. Calculate y.
-3, -1
Solve 4*d**5 - 792*d - 187*d**2 - 921*d**2 - 748*d**3 - 108*d**4 - 320*d**2 = 0.
-3, -2, -1, 0, 33
Let q(z) be the first derivative of 2*z**5/115 + 24*z**4/23 - 66*z**3/23 + 50*z**2/23 + 743. What is r in q(r) = 0?
-50, 0, 1
Let r(c) be the first derivative of c**5 + 20*c**4 + 70*c**3 - 340*c**2 + 385*c + 800. Factor r(g).
5*(g - 1)**2*(g + 7)*(g + 11)
Suppose -7*r + 8*r + 164 = 0. Let g = r - -665/4. Suppose -3/4*a**5 - g*a**4 - 9/4*a**3 + 0 + 0*a - 3/4*a**2 = 0. What is a?
-1, 0
Suppose 5*n - 3*u - 32 = 0, 15*u - 12*u - 68 = -5*n. Let z(r) be the first derivative of -n - 2*r - 2*r**2 - 2/3*r**3. Let z(c) = 0. What is c?
-1
Let m(i) be the third derivative of -i**6/90 - 17*i**5/15 - 289*i**4/6 - 9826*i**3/9 - 2757*i**2. Factor m(n).
-4*(n + 17)**3/3
Let d(j) be the third derivative of -j**5/20 - 11*j**4 + 282*j**3 - 5859*j**2. Factor d(a).
-3*(a - 6)*(a + 94)
Let a(i) = i**2 - 1. Let s(h) = -6*h**2 + 21*h**2 + 5*h + 1 - 11. Let x(q) = -10*a(q) + s(q). Solve x(y) = 0.
-1, 0
Let s = 8150/13 + -32405/52. Factor -5/4*c**3 + s*c**2 + 0 - 5/2*c.
-5*c*(c - 2)*(c - 1)/4
Let j(y) be the first derivative of -92/9*y - 64 - 7/3*y**2 + 2/27*y**3. Factor j(q).
2*(q - 23)*(q + 2)/9
Let g(f) be the second derivative of -f**5/140 + 2*f**4/3 - 18*f**3/7 - 202*f. Let g(q) = 0. What is q?
0, 2, 54
Let c(j) = -j**3 + 10*j**2 + 144*j - 1275. Let n be c(8). Factor -2/3*m**n + 0*m + 0 - 2/3*m**3 + 0*m**2 + 4/3*m**4.
-2*m**3*(m - 1)**2/3
Let x(g) be the second derivative of -g**6/8 - 81*g**5/80 - 43*g**4/16 - 21*g**3/8 + 6952*g. Suppose x(i) = 0. What is i?
-3, -7/5, -1, 0
Find i, given that -912 - 171*i - 293*i - 242223924*i**2 + 242223920*i**2 = 0.
-114, -2
Let z(t) be the third derivative of -t**7/630 - 17*t**6/360 - t**5/6 + 125*t**4/18 + 500*t**3/9 - 76*t**2 + 2. Suppose z(k) = 0. Calculate k.
-10, -2, 5
Suppose 3*f + m + 52 - 50 = 0, -8 = -3*f + 4*m. Factor 13/5*q**2 + 1/5*q**3 + 0*q + f.
q**2*(q + 13)/5
Let j = -10555 + 10557. Factor 5*z + 3*z**4 + 2/3 + 11*z**j + 29/3*z**3.
(z + 1)**3*(9*z + 2)/3
Let s be (-2682)/(-198) + -16 + 3. Let -4/11*k**3 + s + 16/11*k + 6/11*k**2 = 0. Calculate k.
-1, -1/2, 3
Let s(c) be the second derivative of c**5/16 + 13*c**4/16 + 9*c**3/8 - 7*c**2/8 + 2365*c. Factor s(g).
(g + 1)*(g + 7)*(5*g - 1)/4
Factor 2954/5*h - 296*h**2 + 2/5*h**3 - 1476/5.
2*(h - 738)*(h - 1)**2/5
Let g(x) = -x**3 + 16*x**2 - 12*x - 43. Let r = -601 - -616. Let a be g(r). Determine u, given that -45/2 - 25/4*u**3 - 285/4*u - 40*u**a = 0.
-3, -2/5
Suppose 7*c = -10*c - 51. Let f(h) = -20*h**2 + 120*h - 223. Let s(m) = -9*m**2 + 60*m - 111. Let i(v) = c*f(v) + 7*s(v). Solve i(p) = 0 for p.
2, 18
Suppose 13*c + 3*p + 17 = 17*c, -4*c + 27 = -p. Suppose 6 = 4*i + 2*t, 4*t = 4*i + c*t - 4. Factor -3/2*s**i + 3*s - 3/2.
-3*(s - 1)**2/2
Let j(u) be the second derivative of u**4/3 - 104*u**3/3 + 1014*u**2 + 2465*u. Factor j(n).
4*(n - 39)*(n - 13)
Find c such that 0 + 9/7*c + 1/7*c**2 = 0.
-9, 0
Let q(t) = 2*t**2 + 5*t - 16. Let z be q(2). Solve 9*u**2 - 19*u + 40*u - 3*u**4 - 8 - 8 - z - 9*u**3 = 0.
-3, -2, 1
Suppose 0 = 279*j + 367 - 663 - 541. Factor 0 - 1/3*w**4 + 1/3*w**2 - 2/3*w**j + 2/3*w.
-w*(w - 1)*(w + 1)*(w + 2)/3
Let z = -1369 + 12337/9. Let k be (85/68 - (-18454)/72) + -2. Suppose 0 - z*j - 1058/9*j**4 - k*j**3 - 376/9*j**2 = 0. Calculate j.
-2, -2/23, 0
Let m(n) be the third derivative of n**5/100 + 483*n**4/10 + 466578*n**3/5 - 977*n**2. Factor m(v).
3*(v + 966)**2/5
Let y(r) be the second derivative of -r**6/50 - 93*r**5/50 - 121*r**4/20 - 6*r**3 - 3*r + 20. What is v in y(v) = 0?
-60, -1, 0
Let m(h) be the second derivative of h**7/147 + h**6/35 - 9*h**5/14 - 9*h**4/14 + 216*h**3/7 - 972*h**2/7 - 5*h + 62. Factor m(k).
2*(k - 3)**3*(k + 6)**2/7
Let z(s) = -s**2 + 11*s + 12. Let n be z(11). Solve -58 + 4*o**2 - 4*o**2 - n*o - 2*o**2 + 36*o - 84*o = 0.
-29, -1
Let q(a) be the second derivative of a**6/120 + 9*a**5/40 + 2*a**4 + 20*a**3/3 + 4174*a. Find g such that q(g) = 0.
-10, -4, 0
Let w(u) = 3*u**2 - 1899*u + 27812. Let m be w(15). What is p in 81/2 + 9/2*p + 1/8*p**m = 0?
-18
Let f(m) be the first derivative of -2*m**6/3 - 104*m**5 - 3957*m**4 + 6