 25*x**3/2 - 309*x**2/4 + 156*x + 1267. Factor q(d).
3*(d - 2)**2*(d + 104)/8
Let n be -19*6*(-18)/228. Let v(o) be the first derivative of 1/10*o**4 - 1/10*o**2 + n - 1/5*o + 2/15*o**3 - 1/30*o**6 - 1/25*o**5. Factor v(k).
-(k - 1)**2*(k + 1)**3/5
Suppose -789 = -240*z + 89*z - 185. Let b(f) be the second derivative of -1/3*f**z - 10*f**2 + 0 + 4*f**3 + 18*f. Suppose b(i) = 0. What is i?
1, 5
Let d = -69682 + 69712. Factor -5/2*s + d - 5/2*s**2.
-5*(s - 3)*(s + 4)/2
Let r be (945/140)/(6/16 - 0). Let a be (r/(-15))/(4/(-10)). Factor -210 + 175*g**2 - 11*g**3 + 170 - 115*g - 16*g**3 + 7*g**a.
-5*(g - 8)*(g - 1)*(4*g + 1)
Solve -161*w**2 - 180*w**3 - 3*w**4 + 156 - 83*w - 28*w**3 + 242*w + 8*w**2 + 49*w**3 = 0.
-52, -1, 1
Let v be 0 - (3 + -3)/(-2 + 4). Let s be v + 10/(-35) + 24/35. Factor -s*w - 2/5*w**4 + 2/5*w**3 + 0 + 2/5*w**2.
-2*w*(w - 1)**2*(w + 1)/5
Let u(x) be the third derivative of -1/120*x**5 + 0*x - 1/2*x**3 - 7/48*x**4 + 0 - 39*x**2. Factor u(f).
-(f + 1)*(f + 6)/2
Let j(s) be the third derivative of -1/36*s**4 - 5/6*s**3 + 0 + 1/180*s**5 + 3*s - s**2. Factor j(o).
(o - 5)*(o + 3)/3
Let n(a) = a**4 - 39*a**3 + 33*a**2 + 35*a - 38. Let i = -91 + 87. Let p(w) = -40*w**3 + 35*w**2 + 35*w - 40. Let y(q) = i*p(q) + 5*n(q). Factor y(t).
5*(t - 6)*(t - 1)**2*(t + 1)
Factor 841*o + 12597*o - 2322*o + 23483716 + 4*o**2 + 8268*o.
4*(o + 2423)**2
Let j(d) be the third derivative of 0*d + 0 - 1/490*d**7 - 3/28*d**4 - 11/140*d**5 - 44*d**2 - 3/140*d**6 + 0*d**3. Factor j(s).
-3*s*(s + 1)*(s + 2)*(s + 3)/7
Let i(u) = 9*u**5 - u**3 - u**2 + u + 1. Let d(z) = -3*z**5 + 320*z**4 - 509*z**3 + 199*z**2 + z + 1. Let t(k) = -d(k) + i(k). Let t(y) = 0. What is y?
0, 2/3, 1, 25
Let t(i) be the second derivative of 1/4*i**5 - 2*i - 10/3*i**4 - 25*i**2 + 85/6*i**3 - 115. Find u such that t(u) = 0.
1, 2, 5
Let n(q) = 370*q + 95830. Let s be n(-259). Find c such that -1/2*c - 1/4*c**2 + s = 0.
-2, 0
Let g = -22 + 35. Suppose -45 = g*a - 18*a. Find s, given that 4*s**2 - 6 + 8*s + a - 6*s**2 - 11 = 0.
2
Let w be (-6*4/(-16))/((-6)/(-40)). Factor 9*k**3 - 15*k - 13*k + 21*k**2 - w*k + 44*k.
3*k*(k + 2)*(3*k + 1)
Let r = -8580 + 77233/9. Let d(w) be the first derivative of -14/27*w**3 - r*w**2 + 4/9*w + 23. Let d(n) = 0. Calculate n.
-2, 1/7
Let n(l) = 232*l**2 - 3*l - 2. Let v be n(-2). Let r**2 + v*r - 844*r + 19*r**2 + 32 = 0. Calculate r.
-4, -2/5
Let s(j) = -4*j**5 - 69*j**4 - 95*j**3 - 10*j**2 + 25*j. Let n(p) = -p**5 + p**4 - 2*p**3 - p. Let l(u) = -3*n(u) - 3*s(u). Let l(c) = 0. What is c?
-12, -1, 0, 2/5
Let u(z) = 10*z**2 + 18676*z - 7300789. Let y(l) = 4*l**2 + 6224*l - 2433596. Let r(k) = -4*u(k) + 11*y(k). Factor r(t).
4*(t - 780)**2
Let f(l) be the first derivative of l**5/25 + 97*l**4/10 + 3071*l**3/5 - 9506*l**2/5 + 9604*l/5 + 577. Factor f(b).
(b - 1)**2*(b + 98)**2/5
Suppose 0 = -j - 3*j - 16. Let u(l) = -8*l**2 - 16*l - 36. Let t(i) = i**2 - 2*i. Let o(f) = j*t(f) - u(f). Factor o(g).
4*(g + 3)**2
Let w(j) = 4*j**3 + j**2 + j - 1. Let o(k) = -11*k**3 - 294*k**2 + 287*k + 3. Let d(q) = 2*o(q) + 6*w(q). Solve d(f) = 0.
0, 1, 290
Let m(u) be the second derivative of -5*u**4/12 + 145*u**3/6 - 495*u**2 - 6713*u. Find o such that m(o) = 0.
11, 18
Let v = 5521/284 + -1114/71. Suppose v*m - 39/2*m**3 - 1/4*m**5 + 225/4 - 15/4*m**4 - 73/2*m**2 = 0. Calculate m.
-5, -3, 1
Suppose 2*l + 2*l = -4*x + 2876, -3*x = 2*l - 2153. Determine y so that x*y**5 + 40*y**2 - 3*y - 519*y**5 - y + 35*y**4 - 117*y**3 = 0.
-1, 0, 1/4, 2/7
Let t(g) be the third derivative of g**6/5 - 617*g**5/5 - 2471*g**4/16 - 309*g**3/4 - 2*g**2 - 20*g. Suppose t(q) = 0. Calculate q.
-1/4, 309
Let p(s) = -4*s**2 + 7*s - 109. Let d(i) = -9*i**2 + 15*i - 220. Let h(w) = 5*d(w) - 11*p(w). Factor h(l).
-(l - 9)*(l + 11)
Let z(s) be the first derivative of 0*s + s**5 - 5/3*s**3 + 125 + 5/4*s**4 - 5/2*s**2. Determine w so that z(w) = 0.
-1, 0, 1
Let t(q) = 291*q**2 - 1512*q - 190512. Let n(j) = -249*j**2 + 1512*j + 190512. Let o(d) = -7*n(d) - 6*t(d). Find l, given that o(l) = 0.
-252
Let m(l) = 4*l**4 + 140*l**3 - 242*l**2 + 960*l + 2294. Let s(t) = -t**4 - 39*t**3 + 81*t**2 - 320*t - 765. Let z(f) = 3*m(f) + 10*s(f). Factor z(v).
2*(v - 3)*(v + 2)*(v + 8)**2
Let m(f) = 66*f + 994. Let c be m(-15). Let u(v) be the second derivative of 0 - 1/40*v**5 - 3/8*v**c - 7/4*v**2 + 33*v - 5/4*v**3. Factor u(g).
-(g + 1)**2*(g + 7)/2
Let h(j) = 103*j**2 - 43*j**2 - 5*j - 22 - 58*j**2. Let x be h(5). Factor -3/4 - 3/8*z + 3/4*z**2 + 3/8*z**x.
3*(z - 1)*(z + 1)*(z + 2)/8
Suppose -880 + 1766*g + 139*g**2 - 70*g**2 - 65*g**2 + 1753*g = 0. What is g?
-880, 1/4
Find m, given that 0*m + 8*m**4 + 0 + 1/3*m**5 + 364/3*m**2 + 57*m**3 = 0.
-13, -7, -4, 0
Let d(t) = 19*t**2 - 25074*t - 31450296. Let q(x) = 490*x**2 - 651925*x - 817707700. Let o(m) = 155*d(m) - 6*q(m). Factor o(a).
5*(a + 2508)**2
What is t in 3816/5*t + 0 - 3/5*t**2 = 0?
0, 1272
Suppose -1556 = 5*z - 5*s + s, -1212 = 4*z + 5*s. Let q be (-592)/z - (-12)/(-42). Factor q*g**2 + 24/11*g + 8/11.
2*(3*g + 2)**2/11
Let g be -241 + -6 + (2 - -1). Let l = g + 247. Solve 0*i**l - 2/7*i - 4/7*i**2 + 2/7*i**5 + 0 + 4/7*i**4 = 0.
-1, 0, 1
Determine i so that 13*i - 3*i**4 - 746*i**2 + 285*i - 167*i + 598*i + 99*i**3 + 233*i**2 = 0.
0, 3, 27
Let c be (21735/(-19872))/((-5)/84). Let o(v) be the second derivative of -c*v**2 + 0 - 35/8*v**3 - 3/80*v**5 + 13/16*v**4 - 8*v. Factor o(k).
-3*(k - 7)**2*(k + 1)/4
Let a be 28/(-98) + -4*4/(-7). Factor -7363 + 7363 - 64*v**3 + 28*v**4 + 44*v**a - 8*v.
4*v*(v - 1)**2*(7*v - 2)
Let h(v) be the first derivative of v**3 - 21/8*v**2 + 43 - 3/2*v. Let h(l) = 0. Calculate l.
-1/4, 2
Let x = -476 + 478. Factor -36*a - x + 3*a**3 + 0 - 12*a**2 - 1 + 3.
3*a*(a - 6)*(a + 2)
Let f(p) = -2597*p + 135048. Let g be f(52). Suppose 32/7*y**3 + 26/7*y**2 + 4/7*y + 10/7*y**g + 0 = 0. Calculate y.
-2, -1, -1/5, 0
Find p such that 348*p**3 + 16774*p**2 - 16770*p**2 - 4*p**4 + 12*p - 360*p**3 = 0.
-3, -1, 0, 1
Let r = 828 - 825. Let v(q) be the first derivative of 1/35*q**5 + 0*q + 16 + 0*q**2 - 3/28*q**4 + 2/21*q**r. Determine f so that v(f) = 0.
0, 1, 2
Solve 1/2*d**3 - 68*d - 130 - 1/2*d**2 = 0 for d.
-10, -2, 13
Let k(x) = 46*x**2 - 45*x - 301. Let h(r) = 7*r**2 - 8*r - 50. Let b(g) = 26*h(g) - 4*k(g). Factor b(w).
-2*(w + 6)*(w + 8)
Let y be -17 + 16*130/104. Let x(f) be the third derivative of 0*f**y - 36*f**2 + 1/16*f**4 + 0*f + 1/80*f**5 + 0. Suppose x(v) = 0. What is v?
-2, 0
Let d = -818761/10 - -81929. Solve 23/5*s + d*s**2 + 1/10 = 0.
-1/23
Suppose 176*r - 175*r - 4 = 0. Factor -3*p - 3*p**5 - 18*p**3 - 28*p**4 + 12*p**2 - 37*p**r + 77*p**4.
-3*p*(p - 1)**4
Find g, given that 44/3*g**3 - 1/3*g**4 + 114*g - 79*g**2 + 0 = 0.
0, 3, 38
Let d(c) be the third derivative of c**5/120 + 13*c**4/48 + 3*c**3 + 2*c**2 - 2734*c. Factor d(w).
(w + 4)*(w + 9)/2
Let z(n) be the third derivative of n**8/1344 - n**7/840 - n**6/15 + 7*n**5/60 + 7*n**4/3 - 40*n**3/3 + 16*n**2 + n. Suppose z(a) = 0. Calculate a.
-4, 2, 5
Let n(a) = 26*a**2 + 768*a + 3764. Let m(i) = -5*i**2 - 151*i - 753. Let k(h) = -28*m(h) - 6*n(h). Factor k(t).
-4*(t + 5)*(4*t + 75)
Let l(r) = -29*r**2 + 1318*r + 1327. Let w(k) = 92*k**2 - 3956*k - 3984. Let z(g) = 16*l(g) + 5*w(g). Solve z(d) = 0 for d.
-1, 328
Let t be 144/(-42)*(-168)/32. Suppose -15 = -5*m - 3*g, -3*m + t*g = 15*g - 9. Solve 4*j - 4/3*j**m - 2/3*j**4 + 10/3*j**2 + 0 = 0.
-3, -1, 0, 2
Let t(b) be the third derivative of 3/8*b**3 + 7/192*b**4 - 37 - 2*b**2 + 0*b - 1/480*b**5. Factor t(h).
-(h - 9)*(h + 2)/8
Let m(t) = -t**2 + 2*t + 49. Let a be m(7). Factor 34*x - 4*x**4 + 36 - 5*x**2 - 8*x**3 + 24*x + a*x + 37*x**2.
-4*(x - 3)*(x + 1)**2*(x + 3)
Let c be 2138/4 - (-10)/(-20). Suppose -3*m + 3*h + c = 0, -163 = 2*m - 3*m - 2*h. Factor -k**3 - 3*k**3 + 165*k - m*k + 6 - 4 + 10*k**2.
-2*(k - 1)**2*(2*k - 1)
Let z be ((1/(-6*1))/(3 - (-216)/(-81)))/(-2). Factor -1/4*n + 1/4*n**3 + 0 + z*n**4 - 1/4*n**2.
n*(n - 1)*(n + 1)**2/4
Suppose -5*i + 9 = 4. Let g be ((-1)/(-2) + i/(-2))*1. Factor g*z**5 + 8*z**2 - 4*z**4 + z**5 + 3*z**5 - 4*z**2 - 4*z**3.
4*z**2*(z - 1)**2*(z + 1)
Let w(x) be the third derivative of -x**6/420 + 11*x**5/70 + x**4/84 - 11*x**3/7 - 201*x**2. Solve w(t) = 0 for t.
-1, 1, 33
Let b be -8*(