i**4 + 213 + 120 + 582*i**3 + 1020*i**2 + 8*i**5 - 111 + 915*i.
3*(i + 1)**3*(i + 2)*(i + 37)
Suppose 3 = -4*v - 5*h, -6*h + h - 21 = -2*v. Solve -21*r**4 + 4*r**v - 9*r + 20*r**4 + 9*r - 4*r**2 = 0.
0, 2
Let n(b) be the second derivative of 0*b**2 - 3/20*b**5 + 78*b + 0*b**3 - 1/4*b**4 + 0. Factor n(w).
-3*w**2*(w + 1)
Determine y, given that -560*y + 2*y**4 - 73*y**3 - 78*y**3 - 67*y**3 - 53*y**3 + 229*y**3 - 372*y**2 = 0.
-5, -2, 0, 28
Let v(z) be the third derivative of -z**6/24 + 5*z**5/3 + 5*z**4/24 - 50*z**3/3 + 7*z**2 + 131*z. Let v(i) = 0. Calculate i.
-1, 1, 20
Let j(x) be the third derivative of 7*x**5/20 + 1531*x**4/24 - 73*x**3/3 - 407*x**2 + 3. What is y in j(y) = 0?
-73, 2/21
Let j(h) be the third derivative of 2/15*h**5 + 1/60*h**6 + 2 + 0*h + 27*h**2 - 4/105*h**7 - 1/12*h**4 + 0*h**3. Solve j(i) = 0 for i.
-1, 0, 1/4, 1
Suppose 0*y + y = 5. Let u(r) = -2*r**2 + 9*r + 8. Let g be u(y). Factor -17 - 28 - 30*k + g*k**2 - 2*k**2 - 6*k**2.
-5*(k + 3)**2
Let w be (-128)/(-380)*40/32. Factor 2/19*l**3 - 14/19*l + w + 4/19*l**2.
2*(l - 1)**2*(l + 4)/19
Let u be (2 - -7) + -29 + 47. Let y(t) be the third derivative of -1/40*t**6 + 3/4*t**4 + 0 - u*t**2 + 0*t - 3/20*t**5 + 4*t**3. Solve y(a) = 0.
-4, -1, 2
Let s = 1459232/13 - 112248. Factor 8/13*f**3 + 0*f + s*f**2 + 2/13*f**4 + 0.
2*f**2*(f + 2)**2/13
Let k(m) be the first derivative of -25/4*m**4 + m**5 + 0*m + 202 + 0*m**2 + 0*m**3. Find n, given that k(n) = 0.
0, 5
Let w(p) be the first derivative of -7*p**4/8 - 503*p**3/3 + 72*p**2 + 3073. Factor w(n).
-n*(n + 144)*(7*n - 2)/2
Suppose -35 = -3*h - 5*q, 4*h - 7 = 2*h - q. Let g(d) be the second derivative of h*d**2 + 0*d**5 + 1/24*d**4 + 0*d**3 + 0 + 22*d - 1/60*d**6. Solve g(x) = 0.
-1, 0, 1
Let n(l) be the third derivative of l**6/200 - 3027*l**5/50 + 3054243*l**4/10 - 4108974916*l**3/5 - l**2 - 146*l - 5. Factor n(c).
3*(c - 2018)**3/5
Factor -2016/5*i - 2004/5 - 3/5*i**3 - 513/5*i**2.
-3*(i + 2)**2*(i + 167)/5
Let v be (111/48 + (-1351)/579)*-16. Suppose 0 - v*i**2 - 2/3*i = 0. Calculate i.
-2, 0
Let z(u) = 4*u**2 + 17*u - 1. Let n be z(-6). Factor -40*k**2 + n*k + k + 3*k - 13*k - 16*k**3 + 6*k**4.
2*k*(k - 4)*(k + 2)*(3*k - 2)
Let u(d) = 86*d**2 - 1062*d + 198. Let w(j) = 4*j**2 - 2*j + 9. Let l(y) = -2*u(y) + 44*w(y). Factor l(b).
4*b*(b + 509)
Suppose -14*r = -112 + 42. Factor 35*g**2 - 107*g + 19*g + 48*g + r*g**3.
5*g*(g - 1)*(g + 8)
Suppose -25*g + 236720 = 236645. Solve -16/15 - 2/15*t**2 - 2/15*t**g + 4/3*t = 0.
-4, 1, 2
Let b(g) be the third derivative of 0*g - 48*g**2 + 13/120*g**6 + 20/3*g**3 - 1/2*g**5 + 0 - 1/6*g**4 - 1/210*g**7. Determine i so that b(i) = 0.
-1, 2, 10
Let z = -1368732 + 4106198/3. Suppose 6*i**2 - 4/3*i**3 - 16/3 + 4/3*i - z*i**4 = 0. What is i?
-4, -1, 1, 2
Let q = -5483 + 54831/10. Let k(a) be the second derivative of 0*a**2 + q*a**5 - 17*a + 0*a**3 + 5/12*a**4 + 1/150*a**6 + 0. Factor k(m).
m**2*(m + 5)**2/5
Let j(g) = 26*g + 135. Let d be j(-5). Suppose 3*k = 9*a - 4*a - 1, 2*a - 19 = -d*k. Factor 1/4*v**k + 5/4*v**2 + 0 + v.
v*(v + 1)*(v + 4)/4
Let c be (-500)/(-750)*30/4. Let q(o) be the third derivative of -1/18*o**4 - 18*o**2 + 0 + 0*o**3 + 0*o + 1/90*o**c. Suppose q(g) = 0. Calculate g.
0, 2
Let h = -304 + 329. Determine i, given that h*i - 26579*i**2 + 26559*i**2 + 5*i**3 - 11 + 1 = 0.
1, 2
Let g(c) = 4*c**2 - 31*c - 36. Let h be g(9). Let i be (-42)/h - (15 - 21). Find v, given that 28/3*v + i*v**3 - 4 - 20/3*v**2 = 0.
1, 3
Let h(u) = 19*u**2 - 727*u + 4710. Let t be h(30). Factor -1/2*p**3 + 0*p + 5*p**2 + t.
-p**2*(p - 10)/2
Suppose -1325*f + 1168*f = -494 - 291. Factor -f*k**2 - 5/3*k**3 + 0 - 10/3*k.
-5*k*(k + 1)*(k + 2)/3
Suppose 0 = -2*w + 2*c, -22*w - 5*c = -17*w. Let m(l) be the second derivative of -4*l - 1/3*l**4 - 2*l**2 + w + 4/3*l**3. Factor m(g).
-4*(g - 1)**2
Let v = -197144 - -394315/2. Factor -v - 51/2*u + 3*u**2.
3*(u - 9)*(2*u + 1)/2
Let u = -180 - -182. Let j(n) be the first derivative of 6 + 3/4*n**4 + 3/2*n**2 + u*n**3 + 0*n. Find a such that j(a) = 0.
-1, 0
Let h = -137 - -153. Determine o, given that -32*o + 4*o - h - 47*o**3 + 23*o**3 - 14*o**2 + 22*o**3 = 0.
-4, -2, -1
Let d(b) = 4*b**3 + 134*b**2 + 1260*b + 2734. Let q(w) = w**2 + 17. Let t(u) = -d(u) + 2*q(u). Factor t(l).
-4*(l + 3)*(l + 15)**2
Let b(o) be the third derivative of 4*o**2 + 31/60*o**4 - 1/150*o**5 + 0 + 0*o**3 + 22*o. Factor b(m).
-2*m*(m - 31)/5
Let -16/11*m**4 - 76/11*m**2 + 50/11*m**3 + 2/11*m**5 + 56/11*m - 16/11 = 0. Calculate m.
1, 2
Factor -5059*d - 1414 - 1418 + 7970*d - 4333*d - 3*d**2.
-3*(d + 2)*(d + 472)
Let x(m) be the second derivative of -5/8*m**2 - 9*m + 1/24*m**4 + 3 + 3/8*m**3. Factor x(a).
(a + 5)*(2*a - 1)/4
Determine m so that -40/3*m + 20/3 + 445/3*m**4 - 155*m**2 + 70*m**5 - 170/3*m**3 = 0.
-2, -1, -2/7, 1/6, 1
Let q(m) be the second derivative of 3*m**5/80 - 1833*m**4/16 + 229*m**3 - 8*m - 27. Find l, given that q(l) = 0.
0, 1, 1832
Suppose 18 = -3*p + 17*g - 14*g, 0 = -p - 3*g + 26. Factor 58/3*a - 6*a**3 + 10/3 + 26*a**p.
-2*(a - 5)*(3*a + 1)**2/3
Suppose 107*z**3 + 180*z**4 + z**5 - 176*z - 180*z**2 + 4*z**5 + z + 63*z**3 = 0. Calculate z.
-35, -1, 0, 1
Let j(a) be the first derivative of -5/2*a**2 + 0*a + 187 + a**5 + 5*a**3 - 15/4*a**4. Factor j(q).
5*q*(q - 1)**3
Suppose 57*h - 48*h = 90. Let m be (h + 430/(-40))/(21/(-36)). Solve 103/7*s**2 - 51/7*s + 32/7*s**4 - 4/7*s**5 - 89/7*s**3 + m = 0.
1/2, 1, 3
Let b(h) be the third derivative of h**5/210 - 61*h**4/21 + 81*h**3/7 + 31*h**2 - 12. Let b(x) = 0. Calculate x.
1, 243
Let m = 63649 + -254589/4. Suppose -1/4*h + m*h**2 + 1/4*h**3 - 3/2 - 1/4*h**4 = 0. What is h?
-2, -1, 1, 3
Let o be 1 - -3*2/3. Suppose -55 = -5*p + 125. What is r in -44*r**2 + 74*r**2 + 3*r**4 + o - p*r**2 = 0?
-1, 1
Suppose -4*l - 338 = 22*l. Let q be l/65*(1 - 4). Let 9*v**2 + q*v**4 - 24/5*v**3 - 48/5 + 24/5*v = 0. What is v?
-1, 1, 4
Let f(d) be the first derivative of 2*d**6/7 + 3*d**5 - 51*d**4/28 - 286*d**3/7 + 492*d**2/7 - 192*d/7 + 890. Let f(j) = 0. What is j?
-8, -4, 1/4, 1, 2
Let y(d) = 3*d**2 - 22*d + 37. Let i be y(5). Let a(h) be the third derivative of 8*h**i + 0*h**4 + 0*h**3 + 0 + 0*h + 1/60*h**5. Find v such that a(v) = 0.
0
Factor -60/13 - 262/13*x + 18/13*x**3 + 40/13*x**2.
2*(x - 3)*(x + 5)*(9*x + 2)/13
Suppose 96*x - 101*x = -10. Find t such that -7*t - 36*t**4 + 86*t**3 + 17*t**x - 9*t - 53*t**2 + 18*t**3 - 16*t**5 + 0*t**5 = 0.
-4, -1/4, 0, 1
Let y(d) be the second derivative of d**7/126 - 11*d**5/60 + d**4/2 - 4*d**3/9 - 503*d. Determine f, given that y(f) = 0.
-4, 0, 1, 2
Let y(t) = 3*t**3 - 66*t**2 - 198*t + 576. Let p(a) = -8*a**3 + 164*a**2 + 496*a - 1440. Let n(h) = -5*p(h) - 12*y(h). Find w, given that n(w) = 0.
-4, 2, 9
Let p(z) be the second derivative of 1/84*z**4 - 1/42*z**3 - 3/7*z**2 + 0 + 130*z. Factor p(y).
(y - 3)*(y + 2)/7
Let n(i) be the third derivative of -5*i**7/42 + 83*i**6/6 - 381*i**5/10 + 179*i**4/6 - 65*i**3/6 + 799*i**2. Factor n(l).
-(l - 65)*(l - 1)*(5*l - 1)**2
Let y(v) be the second derivative of -1/66*v**4 + 0*v**3 + 0*v**2 + 2/231*v**7 - 165*v + 0*v**5 + 1/55*v**6 + 0. Factor y(a).
2*a**2*(a + 1)**2*(2*a - 1)/11
Suppose 8*b - 15*b = -54208. Suppose 16 + 66*p + 34*p**2 + 24*p**4 + 70*p**2 - 7742*p**5 + 76*p**3 + b*p**5 = 0. What is p?
-8, -1
Let h(w) be the first derivative of -w**6/18 - w**5/3 + 3*w**4/2 + 26*w**3/9 - 17*w**2/6 - 7*w + 581. Find i such that h(i) = 0.
-7, -1, 1, 3
Let t(u) = -5*u**2 + 42*u - 10. Let n be t(8). Find d, given that 12*d**2 + 96*d**3 - n*d**4 + 0*d**5 + 0*d**4 + 2*d**5 - 100*d**3 + 2*d - 6 = 0.
-1, 1, 3
Let r(k) be the first derivative of -k**3/27 - 5*k**2/3 + 64*k/9 - 122. Factor r(p).
-(p - 2)*(p + 32)/9
Let s(r) = r + 8. Let g(c) = 3*c**2 + 131*c - 170. Let o(z) = -g(z) - 4*s(z). Solve o(x) = 0.
-46, 1
Let z(r) = 2*r**2 + 8*r - 1. Let v(k) = -k**2 + 1198*k + 1. Let s(h) = v(h) + z(h). Suppose s(g) = 0. Calculate g.
-1206, 0
Factor -3/8*p**3 + 3*p**2 + 183/8*p + 39/2.
-3*(p - 13)*(p + 1)*(p + 4)/8
Let d(r) be the third derivative of r**6/660 + 7*r**5/22 + 17*r**4/22 - 208*r**3/33 - 82*r**2 + 1. Factor d(b).
2*(b - 1)*(b + 2)*(b + 104)/11
Suppose -14*x - 214 + 550 = 0. Let l be 6 + 27/(-15) + x/(-20). Let 0 + 0*t**l + 0*t - 1/2*t**4 + 1/2*t**2 = 0. Wha