a + 0*a**3 - 22*a**2 - 1/245*a**7 - 2 + 1/70*a**5. Factor v(d).
-2*d**2*(d + 3)*(3*d - 1)/7
Let h be (-196)/3430*(-3 + (-9)/(-108)). Find v, given that -h*v**3 + 0 - 7*v - 23/6*v**2 = 0.
-21, -2, 0
Let j(z) = 15*z + 18*z - 4 - 40*z. Let q be j(-1). Determine o so that -5*o**q - 71*o**4 - 5*o**3 - 20*o**5 - 5*o**2 + 106*o**4 = 0.
-1/4, 0, 1
Suppose -1/2*o**2 + 0 + 210*o = 0. What is o?
0, 420
Find f such that 269/5*f**3 - 1706/5*f + 4/5*f**4 - 408/5 - 229/5*f**2 = 0.
-68, -2, -1/4, 3
Let r(k) be the second derivative of k**3 - 2*k**2 + 21*k. Let q be r(1). Factor 6*y + 6*y**3 + 12*y**2 - 3*y**3 - 3*y**q.
3*y*(y + 1)*(y + 2)
Find f such that -31565*f**2 + 31485*f**2 - 60*f**4 + 5*f**5 - 1147*f + 220*f**3 + 187*f + 1280 = 0.
-2, 2, 4
Let f(b) be the second derivative of -1/14*b**4 + 92*b - 15/14*b**3 + 0*b**2 + 3/140*b**5 + 0. Factor f(y).
3*y*(y - 5)*(y + 3)/7
Suppose -178 = -5*i - x - 167, -5*x + 9 = 2*i. Factor -9/2 + 1/2*k**i - 4*k.
(k - 9)*(k + 1)/2
Let g(y) = -y**2 + 16*y - 15. Let l be g(15). Suppose l = 3*t - 3*j - 63, -t + 14 = 4*j - 27. Solve 50*d + 4*d**2 + 10 - 19*d**2 - t = 0.
1/3, 3
Let c = 455121 - 910241/2. Suppose -9/2 - c*r**2 + 3*r = 0. What is r?
3
Suppose -120204 = -3*x - 18*x. Let y be 12455/x - 4/(-54). Solve -3/2 - y*a - 3/4*a**2 = 0 for a.
-2, -1
Suppose -15*u + 375 = -10*u. Let r(f) = 13*f - 22. Let q be r(7). Factor 15*k - 34*k**3 - u*k + q*k**3 + 6*k**2 + 39*k**2 - 20.
5*(k - 1)*(k + 2)*(7*k + 2)
Let z be 20/14 - 224/(-392). Factor -2124*f**z - 2*f**3 - f**5 + f**4 + 3*f + 2120*f**2 + 3*f**4.
-f*(f - 3)*(f - 1)**2*(f + 1)
Suppose -49 + 39*x**2 - 79*x**2 - 99 + 41*x**2 + 147*x = 0. What is x?
-148, 1
Let h(b) be the third derivative of -1/525*b**7 + 0*b**4 + 17*b**2 + 0 + 1/25*b**5 + 0*b**3 + b + 1/300*b**6. Solve h(j) = 0 for j.
-2, 0, 3
Let z(i) = -i**2 - i + 6. Let d be z(2). Suppose 5*o - 30 + 10 = d. Suppose -4*q**o - 4*q + 2*q**5 + 23*q - 4*q - 7*q - 18*q**3 + 44*q**2 - 48 = 0. What is q?
-3, -1, 2
Let r(x) = -15*x**3 + 14*x**2 + 135*x + 224. Let w(k) = -17*k**3 + 15*k**2 + 134*k + 228. Let p(i) = -6*r(i) + 5*w(i). Suppose p(d) = 0. Calculate d.
-3, -2, 34/5
Factor 0*a - 4/3*a**2 + 1/3*a**3 + 0.
a**2*(a - 4)/3
Let c = 443 - 455. Let w be -2 + c/(-8) + 27/6. What is a in 8/5*a**2 - 4/5*a**w - 2/5*a**5 + 4/5*a**3 - 4/5 - 2/5*a = 0?
-2, -1, 1
Suppose -3*z = r + 13, -3*r + 2*z - 1 = 5. Let n = 4 - r. Factor 3*t**5 + 3*t**3 + n*t**4 - 9*t**2 + 8*t**4 + 0*t**5 - 7*t**4 - 6*t.
3*t*(t - 1)*(t + 1)**2*(t + 2)
Let h(r) = 3*r**2 - 81*r - 1162. Suppose 97*t - 108*t = 55. Let s(f) = -2*f**2 + 39*f + 582. Let o(m) = t*s(m) - 3*h(m). Factor o(u).
(u + 24)**2
Let y(i) be the first derivative of 7*i**5/110 + 26*i**4/11 + 27*i**3 + 22*i**2 - 14*i + 78. Let q(c) be the first derivative of y(c). Factor q(h).
2*(h + 11)**2*(7*h + 2)/11
Let u(x) be the third derivative of x**5/20 + 7*x**4 + 104*x**3 - 1771*x**2. Solve u(g) = 0 for g.
-52, -4
Suppose 1 = 4*c + 5*h, 0*c - c - 16 = -2*h. Let t be (-3 - c)/3 - 2*-1. Find d, given that -5*d**2 - 52*d**4 + 54*d**4 + 2*d + 0*d**t + d**3 = 0.
-2, 0, 1/2, 1
Let t(x) be the second derivative of 1/5*x**3 + 1/30*x**4 - 18/5*x**2 - 8 + 8*x. Factor t(u).
2*(u - 3)*(u + 6)/5
Let l(q) be the third derivative of q**7/42 - 9*q**6/8 - 61*q**5/12 + 145*q**4/8 + 6958*q**2 - q. Solve l(b) = 0 for b.
-3, 0, 1, 29
Let g(t) be the first derivative of -1/7*t**3 - 3/2*t**2 - 36/7*t - 64. Factor g(f).
-3*(f + 3)*(f + 4)/7
Let x(c) be the first derivative of c**4/6 - 14*c**3/9 + 4*c**2 + 1624. Solve x(q) = 0 for q.
0, 3, 4
Let m(h) = 26*h + 339. Let v be m(-13). Let k be (2/v - -7)*(-6)/(-36). What is f in 9 + k*f**2 - 15/2*f = 0?
2, 3
Let l(y) be the first derivative of -y**5/360 + 5*y**4/144 - y**3/6 + 3*y**2/2 + 2*y + 72. Let b(s) be the second derivative of l(s). Let b(v) = 0. What is v?
2, 3
Let c be (1 - -9) + 0 + 750/(-225). Suppose -10/3*a**2 + 0 - 15*a**3 + 0*a - c*a**4 = 0. What is a?
-2, -1/4, 0
Suppose 2*r - 4*m = 16, -4*m - 5 - 59 = -14*r. Find y, given that -1/2*y**2 + 6 + r*y - 1/2*y**3 = 0.
-2, 3
Suppose 11*t = 140 + 355. Let y be (-20)/t*9/(-3). Solve y*q**2 + 8/3*q**3 + 0 - 8/3*q - 4/3*q**4 = 0.
-1, 0, 1, 2
Let w be ((-2)/(-10) - 24/(-30))*-298. Let h = w - -298. Factor -1/6*s**3 + 0 - 1/6*s**5 + h*s**2 + 1/3*s**4 + 0*s.
-s**3*(s - 1)**2/6
Let b(x) be the third derivative of -x**7/504 + x**6/72 + x**5 - x**4/24 + 13*x**3/6 + 6*x**2 + 6*x. Let o(t) be the second derivative of b(t). Factor o(y).
-5*(y - 6)*(y + 4)
Let k(n) = 28*n**2 + 4480*n - 4580. Let m(w) = 18*w**2 + 2987*w - 3050. Let q(a) = -5*k(a) + 8*m(a). Factor q(f).
4*(f - 1)*(f + 375)
Factor 85/3*j + 110/3 - 25/3*j**2.
-5*(j + 1)*(5*j - 22)/3
Solve 1/7*k**2 - 8 + 10/7*k = 0 for k.
-14, 4
Suppose -4*q - 244 = -4*t - 0*t, 4*q = 2*t - 116. Let h = t - 60. What is u in 25*u**2 - 22*u**4 + 3*u**4 - 30*u**4 + 55*u**3 - 10*u - 21*u**h = 0?
-1/2, 0, 2/7, 1
Let a be (-45)/120 + 410/(-16). Let p = -24 - a. Factor 2*x**5 - 10*x**3 + 1080 - 1072 - 2*x**4 + 6*x + 10*x + 2*x**p.
2*(x - 2)**2*(x + 1)**3
Let i = -22 + 68. Let y = i + -44. Factor 0*k**2 - 4*k**y + 4*k + 11*k + k**2.
-3*k*(k - 5)
Let r(a) be the first derivative of 2/15*a**5 + 1/36*a**6 - 2/9*a**3 + 5/12*a**2 - 104 - 1/4*a**4 + 0*a. Factor r(j).
j*(j - 1)**2*(j + 1)*(j + 5)/6
Let k(n) be the third derivative of 0*n - 22/3*n**4 + 0 + 24*n**2 - 968/3*n**3 - 1/15*n**5. Find j such that k(j) = 0.
-22
Suppose -4*g = 5*f - g + 5, g - 3 = -4*f. What is c in -11*c**5 + 12*c**5 + 2*c**4 - f*c**2 + 3*c - 5*c**3 + c**3 = 0?
-3, -1, 0, 1
Let h = -228 - -303. Let 65*k + 3645 + 56*k + 5*k**2 - h*k + 224*k = 0. Calculate k.
-27
Let x be (-28)/(-16) + 1/(((-32)/16)/(0 - 2)). Solve 8*p + 21/2*p**3 + 0 + 1/4*p**5 - x*p**4 - 16*p**2 = 0 for p.
0, 1, 2, 4
Suppose 3*k - 4*f = -2*k + 45, 5*k = 5*f + 50. Let z = 13/6 - 23/18. Factor -2/9*a**k + 0*a**3 + 0*a**2 - z*a**4 + 0 + 0*a.
-2*a**4*(a + 4)/9
Let m(f) be the first derivative of -2*f**5/5 + 2*f**3/3 - 8*f - 54. Let o(u) = -u**4 + u**2 - 5. Let j(y) = -5*m(y) + 8*o(y). Factor j(r).
2*r**2*(r - 1)*(r + 1)
Find m, given that 1592/9*m - 160/3 - 10/9*m**4 - 1064/9*m**2 + 214/9*m**3 = 0.
2/5, 2, 4, 15
Let u(v) be the third derivative of 2*v + 6125/6*v**3 - 175/12*v**4 + 0 + 81*v**2 + 1/12*v**5. Factor u(r).
5*(r - 35)**2
Suppose 16331*x - 3*p = 16333*x - 59, 19*x - 59 = p. Determine t, given that 21/5*t + 3*t**3 + 27/5*t**2 + 6/5 + 3/5*t**x = 0.
-2, -1
Let b = 1045444 + -1045442. Factor -100/9 - 10/9*o + 2/9*o**b.
2*(o - 10)*(o + 5)/9
Let f be ((-6 + 31)/5 + 14/(-3))*0. Factor 0*v**2 - 2/23*v + 2/23*v**3 + f.
2*v*(v - 1)*(v + 1)/23
Let p(w) = 9*w**2 + 725*w + 9900. Let u(n) = -39*n**2 - 3144*n - 42900. Let f(x) = 48*p(x) + 11*u(x). Suppose f(i) = 0. Calculate i.
-50, -22
Let m be (-9)/6 - (1802/(-240) - -6). Let f(k) be the third derivative of -15*k**2 - m*k**5 + 0 + 0*k - 1/6*k**3 - 1/16*k**4. Let f(w) = 0. What is w?
-2, -1
Factor 16*f**3 - 213*f**5 + 10*f**3 - 3*f**2 - 9*f**2 + 217*f**5 - 19*f**4 + 2*f**3.
f**2*(f - 2)**2*(4*f - 3)
Let s(o) be the first derivative of 2*o**5/5 + 6*o**4/5 + 8*o**3/15 + 4322. Factor s(p).
2*p**2*(p + 2)*(5*p + 2)/5
Let w(n) = 65*n - 181*n + 2*n**3 + 185*n - 3*n**3 - 55 + 19*n**2. Let s be w(22). Solve 5/4*o**5 - 37/4*o**4 + s*o**3 - 3*o**2 + 0 + 0*o = 0.
0, 2/5, 1, 6
Suppose 0 = 5*w + 4*w + 8*w - 11*w. Let o(f) be the second derivative of w*f**2 + 0 - 9*f - 2/21*f**3 - 1/42*f**4. Factor o(j).
-2*j*(j + 2)/7
Let m be (-770)/(-35805) + 18580/930. Suppose 0 - m*a**3 + 0*a - 350*a**2 - 2/7*a**4 = 0. What is a?
-35, 0
Let o(r) be the first derivative of r**4/2 - 136*r**3/3 + 197*r**2 - 260*r + 3046. Factor o(y).
2*(y - 65)*(y - 2)*(y - 1)
Let v(m) = 62*m**2 + 755*m + 1472. Let j(f) = 165*f**2 + 2013*f + 3924. Let l(o) = -10*j(o) + 27*v(o). Factor l(y).
3*(y + 8)*(8*y + 21)
Let d = 38986/11 + -3558. Let f = d - -632/33. Factor -f*w - 1/3*w**2 - 64/3.
-(w + 8)**2/3
Let o(c) = 12 - 3*c**2 - 4*c**2 + 4*c**2 + 3*c + 2*c**2. Let w be o(5). Find i such that 4*i**4 + 16*i**2 - 7 + 7 - 8*i**w + 12*i**3 = 0.
-2, -1, 0
Let u(i) = 0*i**2 + 4*i + 4*i**2 - 5 + 3. Let w = -215 - -218. Let s(h) = h**3 + 5*h**2 + 4*h - 3. Let b(y) = w*u(y) - 2*s(y). Factor b(c).
-2*c*(c - 2)*(c + 1)
Let m(p) = 5*p**3 - 64*p**2 - 15*p - 8. Let t be m(7). Let j = 4