 + 1)/5
Let u = -649819/10 + 64982. Factor -9/10*i**2 + 9/10 - u*i**3 + 1/10*i.
-(i - 1)*(i + 1)*(i + 9)/10
Let k be (-150)/18 - 1054/(-93). Solve -12*a**k + 216*a**2 + 5184 - 1728*a + 1/4*a**4 = 0 for a.
12
Let h(c) = -4*c**2 + 252*c - 453. Let f(p) = 2*p**2 - 126*p + 230. Let s(k) = -5*f(k) - 2*h(k). Factor s(r).
-2*(r - 61)*(r - 2)
Let q(t) = 2*t**3 + 4*t**2 - t + 2. Let u(i) = -8*i**3 - 58*i**2 - 176*i - 172. Let n(l) = 2*q(l) + u(l). Determine g so that n(g) = 0.
-7, -4, -3/2
Factor 65*i**3 + 574*i**3 + 54*i**2 + 468*i**4 + 805*i**4 + 1118*i**4 - 351*i**4 + 867*i**5.
3*i**2*(i + 2)*(17*i + 3)**2
Factor -17*x**3 - 850*x**2 - 3*x - 863*x**2 + 7*x**4 + 1726*x**2.
x*(x - 1)**2*(7*x - 3)
Let v(a) be the third derivative of 0*a**3 - 1/10*a**4 - 7/150*a**5 + 0 + 0*a - 1/300*a**6 + 66*a**2. Factor v(w).
-2*w*(w + 1)*(w + 6)/5
Let f be 7/(-28) - (0 + (-26811)/12). Find s, given that -1 - 7*s + f*s**2 - 2 - 3 - 2235*s**2 = 0.
-6, -1
Let w(o) be the second derivative of -o**6/6 + 5*o**5/2 - 55*o**4/4 + 110*o**3/3 - 50*o**2 + 726*o. Find g, given that w(g) = 0.
1, 2, 5
Let j(a) be the second derivative of a**8/112 - a**7/70 - a**6/40 + a**5/20 - 47*a**2 + 2*a - 4. Let y(u) be the first derivative of j(u). Factor y(w).
3*w**2*(w - 1)**2*(w + 1)
Let q be 47/(-282)*33 + (-12)/(-2). Factor 1/2*z**3 - z + q*z**2 + 0.
z*(z - 1)*(z + 2)/2
Let 1460999*h**3 + 788*h**2 - 1460996*h**3 - 248*h**2 = 0. What is h?
-180, 0
Let k(u) be the third derivative of -198*u**2 + 1/300*u**5 - 17/30*u**3 + 0*u - 2/15*u**4 + 0. What is a in k(a) = 0?
-1, 17
Let u(f) = 9*f**4 - 13*f**3 + 3*f**2 - 55*f - 48. Let r(s) = s**4 + 6*s**2 - s - 4. Let v(a) = 40*r(a) - 5*u(a). Find l, given that v(l) = 0.
-1, 16
Find c, given that -1028/7*c + 4/7*c**4 - 344/7 - 332/7*c**3 - 1020/7*c**2 = 0.
-1, 86
Suppose 98 - 86 = k. Suppose 5*n + 4*x + k = -4, -4*n - 4 = x. Solve 0*b**4 - 3/7*b**3 - 2/7*b**2 + 1/7*b**5 + 0 + n*b = 0 for b.
-1, 0, 2
Suppose 662 = 5*s - 2*b, b + 6 = 5. Let w be (66/s)/((-5)/(-6)). Factor -9/5*l**3 + 6/5*l**4 + 0 + 12/5*l + w*l**5 - 12/5*l**2.
3*l*(l - 1)**2*(l + 2)**2/5
Let v(c) = 4*c**4 - 238*c**3 - 28*c**2 - 60*c + 72. Let p(m) = 25*m**3. Let i(h) = -10*p(h) - v(h). Factor i(r).
-4*(r - 2)*(r - 1)*(r + 3)**2
Let c = 586 + -587. Let f be (0/1)/(-1 + c). What is m in 2/3*m**5 + 13/6*m**3 - 2*m**4 - m**2 + f + 1/6*m = 0?
0, 1/2, 1
Let c(r) be the third derivative of 25*r**8/168 + 179*r**7/105 + 7*r**6/15 - 4838*r**2. Suppose c(w) = 0. Calculate w.
-7, -4/25, 0
Find p such that -547*p + 47288 + 8337 + 33179 - 3*p**2 + 4*p**2 - 49*p = 0.
298
Suppose 0 = 3*t + t - 3*i - 71, 5*i = -4*t + 31. Let d = 1 + t. Factor 4*q**2 + 0*q**3 - 14*q**3 + d*q**3.
q**2*(q + 4)
Solve -1/6*u**3 - 13/6*u + 5/3*u**2 - 4 = 0.
-1, 3, 8
Suppose -161 = 20*b - 261. Let v(z) be the third derivative of -1/240*z**6 + 0*z**b + 7*z**2 + 0*z**3 + 1/48*z**4 + 0*z + 0. Factor v(p).
-p*(p - 1)*(p + 1)/2
Let t(z) = -3*z - 35. Let y be t(-13). Determine g, given that 0*g**2 - 5 + 23 + 3*g - 8*g**2 - y*g**2 + 3*g**3 = 0.
-1, 2, 3
Let n be -248 - -253 - ((-112)/(-2) - 1). Let t be 24/32 - (n/(-24) - 4). Solve 2/3*l + 2*l**2 + 0 - t*l**3 = 0.
-1/4, 0, 1
Let w = 63 + -29. Let u = 37 - w. Factor -299 + q**2 - 2*q + 303 - u*q**2.
-2*(q - 1)*(q + 2)
Let v be (1 - (-11)/(-6))*(32 + -52)/4. Let b(k) be the second derivative of 0 + 0*k**2 + 5/12*k**4 - 22*k + v*k**3. Factor b(s).
5*s*(s + 5)
Suppose 3 = -3*k + 3. Solve 5*c**2 + 5*c + 40 - 19*c + k*c**2 - 21*c + 65*c = 0 for c.
-4, -2
Determine h so that -3*h**3 - 3017 + 0*h**3 - 29*h**2 + 412*h**2 - 791*h + 159*h + 3269 = 0.
2/3, 1, 126
Let n be (-1)/(-2) + 11*(-35)/(-154). Find q such that 6 - 4*q**2 + n*q**2 - 191*q + 192*q = 0.
-2, 3
Suppose -284*u - 40 = -302*u - 4. Factor 2/13*i**u + 0 + 0*i.
2*i**2/13
Let f(n) be the second derivative of -3*n**5/4 + 80785*n**4/12 - 108756805*n**3/6 - 36261245*n**2/2 + 375*n + 5. Factor f(x).
-5*(x - 2693)**2*(3*x + 1)
Let n(x) be the third derivative of x**5/135 + 347*x**4/54 - 1396*x**3/27 - x**2 - 641*x. What is w in n(w) = 0?
-349, 2
What is a in 64/5 - 2/5*a**3 - 364/15*a + 118/15*a**2 = 0?
2/3, 3, 16
Let l(h) be the third derivative of h**6/280 - 3*h**5/5 + 83*h**4/56 + 798*h**2. Factor l(i).
3*i*(i - 83)*(i - 1)/7
Let a be 12/3 + 15/(-4) + 0. Let k = -9 + 12. What is d in -1/8*d**k + a*d**2 + 0 + 0*d = 0?
0, 2
Let q(r) = -4*r**4 + 80*r**3 + 339*r**2 - 73*r - 1963. Let b(z) = 15*z**4 - 240*z**3 - 1015*z**2 + 220*z + 5890. Let t(w) = 3*b(w) + 10*q(w). Factor t(s).
5*(s - 2)*(s + 4)*(s + 7)**2
Let 8/7*j - 1/7*j**3 + 2/7*j**2 + 0 = 0. What is j?
-2, 0, 4
Let k be (6 - (-5 + 15))/(-2). Factor -6*w**2 + 5*w**3 + 5 + 34 - 15*w - k*w**3 - 21.
3*(w - 3)*(w - 1)*(w + 2)
Let c(y) be the second derivative of -5/4*y**2 + 7/80*y**5 + 1/120*y**6 - 80*y + 29/24*y**3 + 0 - 9/16*y**4. Factor c(z).
(z - 1)**3*(z + 10)/4
Suppose -194 = -6*y - 176. Factor 61*g**3 + 58*g**y - 4*g - 115*g**3.
4*g*(g - 1)*(g + 1)
Let n = 6 + -3. Let j be n/6*(-3 - 1)/(-2). Let b(w) = -w**3 + w + 1. Let p(q) = -20*q**2 - 16*q + 32. Let s(t) = j*p(t) + 4*b(t). Factor s(m).
-4*(m - 1)*(m + 3)**2
Suppose -276 - 94 = -37*v. Let z(x) be the first derivative of -4/3*x**3 + 16 - 16*x - v*x**2. What is r in z(r) = 0?
-4, -1
Suppose 3*b - w - 4 = 0, -135*b - w + 20 = -130*b. Determine o so that -9*o**b + 109/2*o**2 + 98 + 1/2*o**4 - 126*o = 0.
2, 7
Let z = 1077039 + -7539157/7. Suppose 48/7 + z*r + 1146/7*r**4 - 466/7*r**2 - 90/7*r**5 - 754/7*r**3 = 0. Calculate r.
-1/3, 2/5, 1, 12
Factor -473*d**2 + 249*d**2 + 268*d**2 - 4*d**3 + 20*d - 60*d.
-4*d*(d - 10)*(d - 1)
Let l(y) be the first derivative of 167*y**3/3 + 12*y**2 + 3*y + 127. Let j(q) = 500*q**2 + 71*q + 10. Let t(b) = 2*j(b) - 7*l(b). Find d, given that t(d) = 0.
-1/13
Factor 56/5*m - 12/5*m**2 - 6/5*m**3 + 2/5*m**4 - 48/5.
2*(m - 2)**3*(m + 3)/5
Let t = 23910 + -23908. Let w(r) be the second derivative of -2*r**3 + 1/3*r**4 + 4*r**t - 27*r + 0. What is c in w(c) = 0?
1, 2
Let w(m) be the first derivative of -2*m**6/9 - 37*m**5/15 - 61*m**4/12 + 23*m**3/9 + 65*m**2/6 + 14*m/3 - 1841. Determine f, given that w(f) = 0.
-7, -2, -1, -1/4, 1
Let h(q) be the third derivative of 2*q**7/105 - 3*q**6/5 - 544*q**5/15 + 1603*q**4 + 6762*q**3 + 5*q**2 - 5*q + 13. Factor h(f).
4*(f - 21)**2*(f + 1)*(f + 23)
Suppose 0 = 8*z + 305 - 321. Let q(g) be the second derivative of 0 + 0*g**z + 1/15*g**4 + 1/15*g**3 + 1/40*g**5 + 16*g + 1/300*g**6. Factor q(p).
p*(p + 1)*(p + 2)**2/10
Let m(f) be the first derivative of -1/30*f**6 + 0*f**2 + 0*f + 3/20*f**4 - 55 + 2/25*f**5 + 0*f**3. Factor m(c).
-c**3*(c - 3)*(c + 1)/5
Suppose 348 = -16*c - 132. Let i be (c/(-18))/(10/24). Factor 0 + 0*v**2 + 0*v + 1/5*v**i + 0*v**3.
v**4/5
Factor 1612/9*u - 2/9*u**2 + 538/3.
-2*(u - 807)*(u + 1)/9
Let c(k) = 4*k**2 + 16*k + 7. Suppose 10 = 9*o - 4*o. Let h(f) = 3 + 8 - 3 + 16*f + 4*f**o. Let p(q) = -4*c(q) + 5*h(q). Factor p(r).
4*(r + 1)*(r + 3)
Suppose -28 = -7*w - 7. Suppose -108*a + 36 + 34*a**2 - 4*a**4 - 6*a**w + 14*a**3 + 36*a - 2*a**2 = 0. Calculate a.
-3, 1, 3
Let n = -2747 - -2753. Let h(r) be the first derivative of n - 15/2*r**3 + 5/2*r**2 + 9/2*r**5 + 25/8*r**4 + 0*r - 35/12*r**6. Solve h(z) = 0.
-1, 0, 2/7, 1
Suppose 0 - 16*v**4 + 976/7*v**3 - 384*v**2 + 4/7*v**5 + 2304/7*v = 0. What is v?
0, 2, 12
Let c = -432 - -436. Suppose 3*j**5 + 4*j**4 - 7*j + 2*j - 4*j**5 - j**3 + 7*j**3 - c*j**2 = 0. Calculate j.
-1, 0, 1, 5
Let v = -144 + 147. Find z such that 5*z**v - 4 + 3*z + 18*z**2 + 22 + 3*z**4 - 20*z**3 - 39*z**2 + 12*z = 0.
-1, 1, 6
Determine f so that 62/9*f**2 + 212/9*f + 80/3 + 2/3*f**3 = 0.
-4, -10/3, -3
Let y(l) = -6*l**3 - 26*l - 13. Let h be y(-12). Factor 28*f**3 - 6*f**4 - 10683*f - 6*f**4 + h*f.
-4*f*(f - 2)*(f - 1)*(3*f + 2)
Let b = 5725/278 + -2376/139. Factor -1/4*u**2 - b*u + 15/4.
-(u - 1)*(u + 15)/4
Let z(q) = 19*q**4 - 577*q**3 - 781*q**2 - 173*q + 15. Let p(s) = -16*s**4 + 576*s**3 + 780*s**2 + 172*s - 20. Let m(u) = 3*p(u) + 4*z(u). Factor m(w).
4*w*(w - 22)*(w + 1)*(7*w + 2)
Let n be (-16)/(-3) - (4646/909 - 1/9). Let g(p) be the second derivative of -n*p**2 - 1/30*p**5 + 1/9*p**3 + 1/18*p**4 + 0 - 4*p. Find o such that g(o) = 0.
-1, 1
Suppose 0*u = u + 6. Let l be (u/5)/((-24)/(-15) + -2). Suppose -48*m**2 + 3*m