 h(q) = -3*q**3 - 497*q**2 + 1024*q - 503. Let z(i) = -2*i**3 - 331*i**2 + 683*i - 335. Let d(l) = 10*h(l) - 14*z(l). Factor d(w).
-2*(w - 1)**2*(w + 170)
Let -22/9*n**3 + 0 + 0*n + 5/9*n**2 = 0. Calculate n.
0, 5/22
Let u(s) be the third derivative of -s**8/112 + 3*s**7/35 + 19*s**6/20 + 6*s**5/5 - 37*s**4/8 - 15*s**3 - 2*s**2 - 1695*s. Solve u(x) = 0.
-3, -1, 1, 10
Let i(v) = 8*v + 214. Let j be i(-26). Suppose j*c + 6 = 24. Factor 1/2*g + 3/4 - g**2 + 1/4*g**4 - 1/2*g**c.
(g - 3)*(g - 1)*(g + 1)**2/4
Suppose -b + 95 = 45. Factor -b*k**2 + 42*k**3 + 62*k - 39*k**2 + 180*k**2 + 138*k + 2*k**4 + 149*k**2.
2*k*(k + 1)*(k + 10)**2
Let m(z) = 34*z**2 + 33*z + 147. Let g(t) = 23*t**2 + 32*t + 146. Let k(j) = -6*g(j) + 4*m(j). Factor k(l).
-2*(l + 6)*(l + 24)
Let s = 521203/5 + -103597. Let v = s + -643. Solve -18/5*y + v*y**2 + 3 = 0.
1, 5
Suppose 0 = 5*y - 488 - 602. Factor y*w**4 + 7*w**2 - 28*w**3 + 13*w**2 - 4*w - 206*w**4.
4*w*(w - 1)**2*(3*w - 1)
Let v(p) be the third derivative of -p**7/280 - 3*p**6/40 - 9*p**5/20 - p**4 - 1380*p**2. What is t in v(t) = 0?
-8, -2, 0
Suppose -24*a = -32*a + 64. Suppose -10 - 45*o - 40*o**3 - 37*o**2 + 45*o**3 + 15*o**4 - a*o**2 = 0. What is o?
-1, -1/3, 2
Let j(g) be the first derivative of g**3 + 732*g**2 + 1461*g - 2047. Factor j(v).
3*(v + 1)*(v + 487)
Let i(t) be the first derivative of -t**3/24 + 9*t**2/8 - 932. Suppose i(c) = 0. What is c?
0, 18
Let r(i) be the first derivative of -69 + 2/65*i**5 + 0*i + 0*i**2 - 1/13*i**4 - 2/13*i**3. Let r(j) = 0. What is j?
-1, 0, 3
Let y be (-3)/((-3)/(-4))*(-4 + 495/126). Let d = -1973/7 + 283. Factor -4/7*l**4 - 6/7*l**3 + 0 + y*l**5 + d*l + 8/7*l**2.
2*l*(l - 2)**2*(l + 1)**2/7
Determine i, given that -15562*i + 419*i**3 - 38741 + 171242*i - 417*i**3 + 195541 - 1118*i**2 = 0.
-1, 280
Let k(v) = -6*v**2 - v - 5. Suppose 3*f + 3*y - 3 + 18 = 0, -5*y = -5. Let w(z) = -6*z**2 - 2*z - 6. Let o(h) = f*k(h) + 5*w(h). Factor o(g).
2*g*(3*g - 2)
Let w = -114 - -114. Let c = -851/2 - -427. Factor w*g - c*g**3 + 3*g**4 + 0*g**2 + 9/2*g**5 + 0.
3*g**3*(g + 1)*(3*g - 1)/2
Let t(r) be the third derivative of -r**6/660 - 7*r**5/165 + 71*r**4/4 + 1716*r**3 - 4485*r**2. Factor t(f).
-2*(f - 52)*(f + 33)**2/11
Let d(m) = m**3 + 31*m**2 - 161*m + 193. Let i be d(2). Factor 44/5 - 4/5*p + 4/5*p**i - 44/5*p**2.
4*(p - 11)*(p - 1)*(p + 1)/5
Let j(i) = 5*i**2 - i - 1. Let k(q) = -q**3 + 41*q**2 - 8*q - 5. Let p(l) = 18*j(l) - 2*k(l). Suppose p(h) = 0. Calculate h.
-4, -1, 1
Let r(c) = 4*c**2 - c - 1. Let i be r(-7). Let g = i + -1006/5. Factor 0 + 2/5*t**2 + g*t.
2*t*(t + 2)/5
Let q(v) be the third derivative of v**7/168 - v**6/18 - v**5/8 - 5*v**4/8 - v**3/3 + 36*v**2 + 2*v. Let w(u) be the second derivative of q(u). Factor w(b).
5*(b - 3)*(3*b + 1)
Factor -1543*y**3 + 2617*y**3 - 2*y**5 + 736*y**4 - 1808*y**3.
-2*y**3*(y - 367)*(y - 1)
Let c be -31 + 2632/84 - (82/21 - 4). Factor c*r**4 - 9/7*r**2 + 0 - 6/7*r + 0*r**3.
3*r*(r - 2)*(r + 1)**2/7
Let t(c) be the third derivative of -c**2 + 2*c**3 - 19*c - 3/20*c**5 + 0*c**4 - 1/40*c**6 + 0. Factor t(w).
-3*(w - 1)*(w + 2)**2
Let b(d) be the third derivative of -d**6/120 - 13*d**5/60 - d**2 - 30. Factor b(h).
-h**2*(h + 13)
Let s be 964/36 - (54/1944 + 2/(-8)). Let z(i) be the third derivative of 0 + s*i**2 + 0*i**3 + 1/15*i**5 + 1/60*i**6 + 0*i**4 + 0*i. Let z(v) = 0. What is v?
-2, 0
Let s(x) = x**2 + 16*x + 11. Let u be s(-10). Let l = u - -51. Factor 21*t**4 - 5*t**5 - 45*t + 22*t**4 - 3*t**4 + 120*t**l - 110*t**3.
-5*t*(t - 3)**2*(t - 1)**2
Let k = 329 - 265. Factor 2*a**5 + 25*a + 8*a**3 - 99*a - 12*a**4 + k*a + 12*a**2.
2*a*(a - 5)*(a - 1)**2*(a + 1)
Let s = -21 - -25. Suppose b - 3 = -a, -a = -s*a - b + 7. Factor -4*y**3 - 28*y + 8 + 3 - 20*y**a - 23.
-4*(y + 1)**2*(y + 3)
Suppose -20*f**2 - 277*f**4 + 144*f**4 + 92*f**3 + 147*f**4 + 198 - 174*f - 2*f**5 - 108*f = 0. What is f?
-3, 1, 11
Let x(m) = 761*m - 6084. Let y be x(8). Solve 10*t**y + 8*t + 8/3 - 8/3*t**5 - 16/3*t**3 - 38/3*t**2 = 0 for t.
-1, -1/4, 1, 2
Determine p so that -4778*p + 1790*p - p**2 + 231393 - 975405 - 2*p**2 = 0.
-498
Factor -774 + 154*i - 50/9*i**2 - 2/9*i**3.
-2*(i - 9)**2*(i + 43)/9
Let y(p) be the first derivative of -2/5*p**5 - 9*p**2 - 1/3*p**4 + 0*p**3 - 9 - 1/12*p**6 + 0*p. Let h(k) be the second derivative of y(k). Factor h(c).
-2*c*(c + 2)*(5*c + 2)
Let u be (-264)/(-39) - (-15)/65. Suppose u + 5 = -4*y + 5*b, 10 = 3*y + b. Let -16/3*p**y + 0 + p**5 + 4/3*p + 23/3*p**3 - 14/3*p**4 = 0. Calculate p.
0, 2/3, 1, 2
What is g in -3/5*g**4 - 6/5 - 3/5*g**3 + 9/5*g**2 + 3/5*g = 0?
-2, -1, 1
Find x such that -10*x**4 + 5541*x**3 - 5991*x**3 - 30*x - 159*x**4 - 50*x**4 - 18*x - 12*x**5 - 291*x**2 = 0.
-16, -1, -1/4, 0
Let k(w) = w**3 + 6*w**2 + 22*w + 207. Let x be k(-7). Let g be 3/(-2)*1 - 759/(-110). Factor -3*r**3 + g*r**2 + 3/5*r**x + 6/5 - 21/5*r.
3*(r - 2)*(r - 1)**3/5
Factor -1/2*y**2 - 156 + 47/2*y.
-(y - 39)*(y - 8)/2
Let x be 1782/(-8) + -10 + 4. Let n = x - -229. Determine z, given that n - 1/4*z**4 + 1/2*z - 1/2*z**3 + 0*z**2 = 0.
-1, 1
Let l(j) be the first derivative of -14283*j**4/16 + 14145*j**3/2 + 1239*j**2/2 + 18*j - 7739. Factor l(x).
-3*(x - 6)*(69*x + 2)**2/4
Let u(v) = 3*v**2 - v - 2. Let f be u(2). Suppose 4 - f = -s. Factor -4*c**2 - 13*c**4 + 2*c - 14*c + 12*c**3 + 17*c**s.
4*c*(c - 1)*(c + 1)*(c + 3)
Factor -29/4 + 1/8*t**2 + 27/8*t.
(t - 2)*(t + 29)/8
Let x(b) be the second derivative of -b**6/15 - 67*b**5/5 + 271*b**4/6 - 136*b**3/3 + 1583*b. Factor x(g).
-2*g*(g - 1)**2*(g + 136)
Determine x, given that -62*x + 1440041*x**2 - 1032 - 173*x - 1440038*x**2 - 29*x - 246*x = 0.
-2, 172
Let g = -62228 + 62231. Factor -2/15*v**g - 4/3 - 16/15*v**2 + 38/15*v.
-2*(v - 1)**2*(v + 10)/15
Let n(f) be the first derivative of -11*f**3/6 - 31*f**2/4 - 1167. Factor n(b).
-b*(11*b + 31)/2
Let h(f) = -f**3 - 11*f**2 - 12*f. Let a be h(-11). Suppose -16*d + a = -12*d. Factor -63*t**2 + d*t + 2*t**3 + 44*t**3 - 6 - 15*t**4 + 14*t**3 - 9*t**3.
-3*(t - 1)**3*(5*t - 2)
Factor -40000/7*u + 4/7*u**4 + 0 + 11600/7*u**2 - 416/7*u**3.
4*u*(u - 50)**2*(u - 4)/7
Let p(i) be the third derivative of i**6/240 + 859*i**5/20 + 737881*i**4/4 + 1267679558*i**3/3 + 6564*i**2. Find f, given that p(f) = 0.
-1718
Let r(i) = i**2 - 17*i + 142. Let y be r(13). Let b be (6/(-27))/((-50)/y). Suppose -2/5*l + 4/5*l**3 + 0*l**2 + 0*l**4 - b*l**5 + 0 = 0. What is l?
-1, 0, 1
Factor 8/3*d**2 - 1900/3*d - 952/3.
4*(d - 238)*(2*d + 1)/3
Let u(t) be the first derivative of t**6/36 - t**5/5 - t**4 + 32*t**3/9 + 5373. Suppose u(h) = 0. Calculate h.
-4, 0, 2, 8
Let m be (-269)/(-20175)*(-5)/(-2). Let i(p) be the first derivative of -5 - 1/6*p**2 + 1/12*p**4 - 1/18*p**3 + m*p**5 + 0*p. Factor i(g).
g*(g - 1)*(g + 1)*(g + 2)/6
Let u = -1989 + 2036. Suppose -u*v = -38*v - 36. Factor 11/6*w - 1/2*w**2 - 1 - 1/2*w**3 + 1/6*w**v.
(w - 3)*(w - 1)**2*(w + 2)/6
Let y(k) be the third derivative of 0*k**6 - 1/42*k**7 + 0*k - 5/3*k**4 + 0 + 1/2*k**5 + 15*k**2 + 5/2*k**3. Suppose y(m) = 0. Calculate m.
-3, 1
Suppose 4*f - 52 = 4*d, 0 = -d + 2*f - 17 - 0. Let q(z) = z**3 + 10*z**2 + 7*z - 10. Let h be q(d). Solve -400 + i**2 - h*i**2 + 3*i**2 + 80*i = 0.
10
Let v = 167/1340 + 42/335. Let 3/4 - q + v*q**2 = 0. What is q?
1, 3
Suppose 0 = 37*u - 39968 + 5077. Let c = -940 + u. Suppose 2 - 19/2*f**2 + 63/4*f**c - 27/2*f**5 - 3*f + 27/4*f**4 = 0. Calculate f.
-1, -1/2, 2/3
Factor 0 + 0*t + 0*t**2 + 1/7*t**5 + 12/7*t**4 + 20/7*t**3.
t**3*(t + 2)*(t + 10)/7
Let g(b) be the first derivative of -31/7*b**2 - 63 + 16/7*b - 8/21*b**3. Factor g(y).
-2*(y + 8)*(4*y - 1)/7
Let j(z) be the second derivative of -11*z**6/210 - 113*z**5/28 - 3247*z**4/28 - 57511*z**3/42 - 9826*z**2/7 + 30*z - 43. Suppose j(i) = 0. What is i?
-17, -4/11
Let q be (1 + (-30)/3)*147. Let j = 14565/11 + q. Let 2/11*k**2 + 10/11*k - j = 0. What is k?
-6, 1
Let s(q) be the first derivative of -3*q**5/20 + 3*q**4/2 + q**3/2 - 9*q**2 + 73*q + 90. Let t(d) be the first derivative of s(d). Let t(k) = 0. Calculate k.
-1, 1, 6
Let z(p) = -7*p**2 + 9*p - 11. Let s(j) = -36*j**2 + 44*j - 56. Let f(l) = 2*l - 1. Let q be f(2). Let r(g) = q*s(g) - 16*z(g). Factor r(m).
4*(m - 2)*(m - 1)
Let q(g) be the second derivative of g**7/630 - 37*