2 - 52*g + 62. Let r(j) = -5*h(j) + 8*p(j). Solve r(l) = 0 for l.
-1, 1, 3
What is r in -37*r**4 - 2 + 68*r + 80*r**4 - 202*r**5 + 207*r**5 - 23*r**2 - 73*r**3 - 18 = 0?
-10, -1, 2/5, 1
Let d(s) be the third derivative of s**5/60 + s**4/2 + 10*s**3/3 + 70*s**2 + 4. Factor d(m).
(m + 2)*(m + 10)
Let n(z) = 8*z**2 + 797*z - 640. Let u(h) = -28*h**2 - 2806*h + 2240. Let l(d) = 18*n(d) + 5*u(d). Factor l(y).
4*(y - 1)*(y + 80)
Let r(j) be the first derivative of -3/2*j**2 - 2/3*j**4 + 1/15*j**5 + 0*j + 8/3*j**3 - 3. Let h(s) be the second derivative of r(s). Find k such that h(k) = 0.
2
Let a = -1570 + 1576. Let y(d) be the first derivative of 0*d - 4 - 2/9*d**5 + 1/27*d**a - 8/27*d**3 + 0*d**2 + 4/9*d**4. What is h in y(h) = 0?
0, 1, 2
Let b(d) = -7*d**2 - 38*d - 37. Let q(c) = 15*c**2 + 75*c + 75. Suppose -5*m - 17 = -447. Let o = m - 81. Let s(k) = o*b(k) + 2*q(k). Factor s(p).
-5*(p + 1)*(p + 7)
Let j(q) be the second derivative of 0 + 48*q**2 - 125*q + 1/4*q**4 + 33/2*q**3. Suppose j(i) = 0. What is i?
-32, -1
Let c = -14 - -25. Let j = 7 + c. Determine u, given that -2*u**3 + 18*u**2 - j*u**4 + 26*u**3 + 113*u + 3*u**5 - 140*u = 0.
-1, 0, 1, 3
Let g(c) = -2*c**2 + 442*c. Let l(o) = 6*o**2 - 883*o. Let u(a) = -5*g(a) - 2*l(a). Suppose u(s) = 0. What is s?
-222, 0
Let s be -4 - -4 - (-4)/21. Let p(m) = -2*m**2 + 32*m + 452. Let w be p(25). What is g in -s*g**4 - 4/21 - 2/7*g**5 + 8/21*g**w + 4/7*g**3 - 2/7*g = 0?
-1, -2/3, 1
Let a(k) = -k**3 + 29*k**2 + 22*k + 65. Let m be a(28). Let l = m + -1451. Factor -4*q - l - 2/7*q**2.
-2*(q + 7)**2/7
Suppose -8*y = -24*y + 16. Let f(h) = -h**2 - 4. Let a(z) = -54*z + 123. Let d(x) = y*a(x) - 3*f(x). Find i, given that d(i) = 0.
3, 15
Let s(q) be the third derivative of q**8/1008 - 13*q**7/630 + 3*q**6/40 + 37*q**5/180 - 8*q**4/9 - 10*q**3/3 + 7*q**2 - 155*q. Find z, given that s(z) = 0.
-1, 2, 3, 10
Let k(x) be the first derivative of 3*x**4/4 - 55*x**3 + 321*x**2/2 - 159*x - 735. What is t in k(t) = 0?
1, 53
Factor 17/3*s**2 - 5/3*s**4 + 1/3*s**5 + 1/3*s**3 + 8/3 - 22/3*s.
(s - 4)*(s - 1)**3*(s + 2)/3
Let k = -7/7864 + 125845/23592. Determine u so that -4/3*u**4 + 16/3*u**2 + 0 + 0*u - 4/3*u**5 + k*u**3 = 0.
-2, -1, 0, 2
Let n(o) be the third derivative of 0*o**4 + 1/120*o**6 - 50*o**2 + 2/3*o**3 - 1/20*o**5 + 0*o + 0. Solve n(d) = 0 for d.
-1, 2
Let a(o) be the second derivative of 24/5*o**2 - 132*o - 1/30*o**4 - 1/3*o**3 + 0. Determine s so that a(s) = 0.
-8, 3
Suppose m = 10 - 8. Let i(y) = -2*y**2 + 7*y + 2. Let o be i(m). Let 36*a**4 - a**4 + 48*a**2 - o*a**4 - 7*a + 19*a + 63*a**3 = 0. Calculate a.
-1, -2/3, 0
Determine j so that -37*j - 252869 - j**2 + 252857 - 2*j**2 = 0.
-12, -1/3
Let l(c) be the third derivative of -3*c**2 + 22/21*c**3 + 0*c + 3/28*c**4 - 10 - 1/210*c**5. Find m such that l(m) = 0.
-2, 11
Let x(q) be the third derivative of -q**6/120 - 19*q**5/12 + 401*q**4/24 + 165*q**3/2 + 2*q**2 - 4414. Determine i, given that x(i) = 0.
-99, -1, 5
Suppose -7*w + 3*w = -t + 18, 2*t - 2*w - 12 = 0. Let y be (114/(-30) + 6 - t)*0. Factor 2/7*u**2 + 2/21*u**3 + y + 4/21*u.
2*u*(u + 1)*(u + 2)/21
Let z = 317349 - 1269393/4. Factor -1/8*s**4 + 1/2*s**3 - 1/2*s - 5/8 + z*s**2.
-(s - 5)*(s - 1)*(s + 1)**2/8
Suppose 62 = 4*z + w - 2*w, 4*w - 24 = -z. Suppose -11*o - 60 = -z*o. Factor v + 3*v - o*v + 2*v**2 + 6*v - 4.
2*(v - 2)*(v + 1)
Suppose -251*s = -3188 + 2435. Suppose -160/17*o - 14*o**2 + 98/17*o**s - 24/17 = 0. What is o?
-2/7, 3
Let g(x) = x**2 + 444*x - 20921. Let u be g(43). Factor -4/7*o**3 - u*o**2 + 1296/7 - 1152/7*o.
-4*(o - 1)*(o + 18)**2/7
Factor 3/2*b**3 - 7881/2*b - 1968*b**2 - 1971.
3*(b - 1314)*(b + 1)**2/2
Let d = 715 - 717. Let l be 14*(-1)/d + -4. Factor 5/4*r**4 - 5/2*r**l + 0 + 0*r + 5/4*r**2.
5*r**2*(r - 1)**2/4
Let g(z) = 28*z**2 - 564*z - 13237. Let w(v) = -10*v**2 + 188*v + 4412. Let f be -2*(-6)/(84/(-119)). Let l(d) = f*w(d) - 6*g(d). Factor l(q).
2*(q + 47)**2
Factor 294/5 - 63/5*z + 3/5*z**2.
3*(z - 14)*(z - 7)/5
Let d(c) = 9*c**2 - 2*c + 1. Let r(s) = 98*s**2 + 469*s + 11. Let x(z) = -11*d(z) + r(z). Factor x(o).
-o*(o - 491)
Suppose -43/4*d**2 - 99*d - 153 + 1/4*d**3 = 0. What is d?
-6, -2, 51
Let 505*n + 322*n - 27*n + 2360*n**2 + 80 + 1800*n**3 + 405*n**4 = 0. Calculate n.
-2, -2/9
Let m(d) = -7*d**3 - 39*d**2 - 63*d - 80. Let z(b) = 3*b**3 + 18*b**2 + 32*b + 40. Let p(o) = -4*m(o) - 9*z(o). Factor p(c).
(c - 10)*(c + 2)**2
Let l(o) be the third derivative of -o**6/80 + 37*o**5/8 - 1125*o**4/2 + 10125*o**3 + 6574*o**2. Factor l(g).
-3*(g - 90)**2*(g - 5)/2
Let i be ((-208)/1064)/(-4 + 81/21). Factor 28/19*g - 2/19*g**2 - i.
-2*(g - 13)*(g - 1)/19
Suppose 340*g - 549 = 428 + 383. Factor 0*z - 1/6*z**5 + 0*z**2 + 0 + 1/2*z**3 - 1/3*z**g.
-z**3*(z - 1)*(z + 3)/6
Let f(s) be the third derivative of 0*s**3 + s**2 + 0*s**4 + 0*s - 7/180*s**5 - 27 - 1/360*s**6. Factor f(q).
-q**2*(q + 7)/3
Factor -58*x**3 - 4955*x + 102*x**3 + 3546*x**2 - 48*x**3 + 534*x**2 + 4072 - 3193*x.
-4*(x - 1018)*(x - 1)**2
Let x(r) = -7*r**4 + 15*r**3 + 24*r**2 - 35*r - 3. Let h(b) = -76*b**4 + 164*b**3 + 264*b**2 - 384*b - 32. Let w(t) = -3*h(t) + 32*x(t). What is s in w(s) = 0?
-2, 0, 1, 4
Suppose -5*p - 16 + 261 = 0. Let r = p + -38. Find z such that -3*z**4 + 9*z**5 + 101*z - r*z**3 + 4*z**2 + 0*z**2 - 97*z - 3*z**4 = 0.
-2/3, 0, 1
Suppose 0 = -4*u + s + 7, -1 + 4 = 3*s. Suppose -i + 3*f - 21 = -u*i, -2*i - 5*f + 43 = 0. Factor 15*q**2 - 627 + 0*q**3 - 3*q**3 + 639 - i*q.
-3*(q - 2)**2*(q - 1)
Let o(l) be the third derivative of l**5/12 + 5*l**4/8 - 385*l**3/3 - 357*l**2. Factor o(w).
5*(w - 11)*(w + 14)
Let 100/3*p - 2/3*p**5 + 82*p**2 + 14*p**4 + 0 + 190/3*p**3 = 0. Calculate p.
-2, -1, 0, 25
Let k(n) = 17*n + 229. Let a be k(-18). Let u be 8/(-14)*(-6)/((-132)/a). Find s, given that -26/15*s + 4/5 - 2/3*s**u = 0.
-3, 2/5
Let o(h) be the second derivative of 0*h**2 - 1/150*h**5 - 1/90*h**4 + 1/225*h**6 + 1/45*h**3 - 256*h + 0. Determine l so that o(l) = 0.
-1, 0, 1
Suppose 0 = 22*k + 6*k - 4816. Determine m so that 5*m**2 - m**5 - k*m**4 + 175*m**4 - 4*m**2 - 3*m**3 = 0.
0, 1
Factor 400/13 - 36/13*b**2 + 120/13*b + 2/13*b**3.
2*(b - 10)**2*(b + 2)/13
Let c(a) be the first derivative of -a**4/24 - a**3/3 - 3*a**2/4 - 61*a + 8. Let y(v) be the first derivative of c(v). Let y(q) = 0. Calculate q.
-3, -1
Let v(g) be the first derivative of -15*g**3 - 95*g**2/2 - 4*g + 194. Let k(j) = -j. Let c(t) = -3*k(t) + v(t). Factor c(b).
-(b + 2)*(45*b + 2)
Let f(o) be the third derivative of -o**8/2184 - 4*o**7/273 - 17*o**6/780 + 19*o**5/195 - 582*o**2. Determine y so that f(y) = 0.
-19, -2, 0, 1
Determine c, given that 7006*c**2 - 2036*c**3 - 221*c**4 + 104*c**4 + 101*c**4 - 5466*c**2 + 512*c = 0.
-128, -1/4, 0, 1
Suppose -18*t + 13*t = a - 23, 22 = -2*t + 2*a. Factor -1/2*g**t - 961/2 - 31*g.
-(g + 31)**2/2
Let a = 702684 + -2108039/3. Factor -a - 14/3*l - 1/3*l**2.
-(l + 1)*(l + 13)/3
Suppose 3*y + 3*q - 24 = 0, q = -5*y - 15 + 47. Let z = 8 - y. Factor -3*r**2 + 3*r**5 + z*r**4 + r - 4*r**5 + 2*r**2 - r**2.
-r*(r - 1)**3*(r + 1)
Let p(f) be the second derivative of 3*f**5/10 - 7*f**4/3 + 7*f**3/3 + 4*f**2 + 714*f. Solve p(w) = 0 for w.
-1/3, 1, 4
Let o(b) = -b**2. Let p(c) = 1. Let w(x) = 5*x**2 + x. Let q(k) = -2*p(k) + w(k). Suppose 34*j = -66 + 32. Let r(d) = j*q(d) - 4*o(d). Factor r(i).
-(i - 1)*(i + 2)
Let a(n) be the second derivative of n**5/10 + 13*n**4/6 - 221*n**3/3 + 207*n**2 + 2808*n. Factor a(i).
2*(i - 9)*(i - 1)*(i + 23)
Let o be 20/6 - (-8)/12. Suppose 4*v = 4*n, -2*n - 61 + 49 = -5*v. Factor -9*f**n - 3*f**3 + o*f - f + 6*f**4 + 3*f**2.
-3*f*(f - 1)*(f + 1)**2
Let a(r) be the second derivative of 24*r**6/25 - 21*r**5 + 2509*r**4/15 - 8126*r**3/15 + 1734*r**2/5 - 528*r. Suppose a(q) = 0. What is q?
1/4, 3, 17/3
Let y be 16/2 + 4 + 1152/(-102). Solve 14/17 + y*w - 2/17*w**2 = 0.
-1, 7
Let c be (-16)/20*10/(-4). Factor 346 + 247*z**2 + 154 - 119*z**2 - 123*z**c - 100*z.
5*(z - 10)**2
Suppose 0*z = -24*z + 94272. Let l = -66752/17 + z. Factor -l*q + 72/17 + 2/17*q**2.
2*(q - 6)**2/17
Factor -482351*t + 370 - 14*t**3 + 482349*t + 16*t**3 - 370*t**2.
2*(t - 185)*(t - 1)*(t + 1)
Let w(c) be the third derivative of c**5/105 + 65*c**4/42 - 444*c**3/7 - c**2 - 190*c - 11. Let w(a) =