 1/7*o**2 - u + 10/21*o**3 + 0*o. Factor j(a).
-2*a*(a - 1)*(4*a - 1)/7
Let d(k) be the second derivative of -k**4/12 - 82*k**3 + 493*k**2/2 - 6356*k. Suppose d(o) = 0. Calculate o.
-493, 1
Find z such that -15694*z - 23*z**3 + 20*z**3 + 15693*z - 5*z**4 + 5*z**2 + 4*z**5 = 0.
-1, 0, 1/4, 1
Factor -1167*i + 7898*i**3 - 7895*i**3 - 438*i**2 - 882 + 156*i**2.
3*(i - 98)*(i + 1)*(i + 3)
Suppose -4*f + 21 = 3*b, 4*b + f = b + 12. Let m be (-4 - -1) + -1 + b. Let n(q) = -q - 1. Let g(y) = -y**2 - 3*y - 4. Let d(t) = m*g(t) + 4*n(t). Factor d(h).
h*(h - 1)
Suppose -2/11*s**4 - 64/11 + 6*s**2 - 8/11*s + 8/11*s**3 = 0. Calculate s.
-4, -1, 1, 8
Let d(z) be the third derivative of -z**5/330 + 19*z**4/132 + 20*z**3/33 + 23*z**2 - 61*z. Factor d(t).
-2*(t - 20)*(t + 1)/11
Solve -107*t - 370*t + 6*t**2 - 3 + 3 - 3*t**2 = 0.
0, 159
Let m(q) be the second derivative of -q**5/60 - q**4/4 - 3*q**3/2 - 9*q**2/2 - 970*q. Suppose m(y) = 0. Calculate y.
-3
Let h be (55/(-30) - (-5)/(-20))/((-15)/60). Let u(v) be the first derivative of 22 - 1/9*v**3 - 5/3*v**2 - h*v. Suppose u(j) = 0. What is j?
-5
Let o(p) = -815*p**2 + 1430*p - 635. Let x(c) = -408*c**2 + 714*c - 317. Suppose 35 = 339*h - 332*h. Let s(m) = h*x(m) - 3*o(m). Solve s(i) = 0.
8/9
Solve -118763*c - 9*c**3 + 24*c**2 - 7*c**3 + 0*c**3 + 3*c**5 - 2*c**3 + 118754*c = 0 for c.
-3, 0, 1
Factor 0*k - 322/5*k**3 + 0 - 784/5*k**2 - 2/5*k**5 - 44/5*k**4.
-2*k**2*(k + 7)**2*(k + 8)/5
Let z = -478 - -481. Let m be z/(135/261) + (-2 - -2). Factor -16/5*a**5 + m*a**2 - 3/5*a + 3*a**3 - 9/5 - 24/5*a**4.
-(a + 1)**3*(4*a - 3)**2/5
Let n = -10384 - -1256472/121. Let f = 5889/605 + n. Factor -f*w**2 - 16/5 - 56/5*w.
-(7*w + 4)**2/5
Suppose 6*y + 8 = 14. Let b(m) = 18*m**3 + 12*m**2 + 3*m - 9. Let v(h) = h**3 + h**2 - h + 1. Let u(l) = y*b(l) + 9*v(l). Factor u(d).
3*d*(d + 1)*(9*d - 2)
Let v(s) be the third derivative of -s**7/70 - 27*s**6/20 - 53*s**5/20 - 6006*s**2. Factor v(f).
-3*f**2*(f + 1)*(f + 53)
Let j(s) be the first derivative of -106 + s**3 + 3/2*s**4 - 10*s**2 + 12*s - 1/5*s**5. What is m in j(m) = 0?
-2, 1, 6
Factor -617796 - 47*x**2 - 48*x**2 + 3144*x + 91*x**2.
-4*(x - 393)**2
Let j be (810/(-505) + 2)*10 - 4. Let n = 85/404 - j. Solve -1/2*v**4 + 3/2*v**2 + n*v**3 + 1/2 - 7/4*v = 0.
-2, 1/2, 1
Let y = 166 - 117. Let t = -582 + 584. Factor -3*x**t - y - 315*x + 291*x + 1.
-3*(x + 4)**2
Let l(b) = -b**2 + 47*b + 208. Let k be l(51). Let f(p) be the second derivative of 0 + 8*p + 0*p**2 - 1/4*p**k + 2*p**3. Factor f(u).
-3*u*(u - 4)
Let n(u) be the first derivative of -65 + 15/2*u**2 + 10*u - 5/4*u**4 + 0*u**3. Determine b, given that n(b) = 0.
-1, 2
Let w be (-8)/(-6)*((-7 - -5) + 4). Let b = 313/15 - 71/5. What is h in -w - 12*h**2 - 4/3*h**4 + b*h**3 + 28/3*h = 0?
1, 2
Let a(z) = -z**3 + 48*z**2 + z - 37. Let w be a(48). Let d be 2 + 2 - 4 - (w - 14). Determine n so that n**4 + 3*n**3 + 0*n + 0 + 1/9*n**5 + d*n**2 = 0.
-3, 0
Suppose -5*q = 3*d - 22, -14*d + 12 = -4*q - 9*d. Factor 5*g**2 - 4*g + 0*g**q + 3*g**2 - 2*g**3 + 6*g**3 - 8.
4*(g - 1)*(g + 1)*(g + 2)
Let u(p) be the second derivative of p**4/6 - 2566*p**3/3 + 1646089*p**2 - 63*p - 5. Factor u(w).
2*(w - 1283)**2
Let g be 38/16 - (-93)/(-248). Factor -s**3 - 4*s**3 - 13 + 25*s + 13 + 20*s**g.
-5*s*(s - 5)*(s + 1)
Let 2/9*q**3 + 142*q**2 + 5144/9 - 1712/3*q = 0. Calculate q.
-643, 2
Let b(g) = 2*g**4 + 6*g**3 + 332*g**2 + 800*g - 14. Let i(v) = -3*v**3 - 2*v**2 - 1. Let r(o) = 2*b(o) - 28*i(o). Factor r(m).
4*m*(m + 4)*(m + 10)**2
Let g(x) be the first derivative of -x**3/3 - 9*x**2/2 + 70*x + 7856. Solve g(t) = 0.
-14, 5
Let s = -241867 + 242449. Factor -1056*h - s*h**2 - 27/2*h**4 - 384 + 198*h**3.
-3*(h - 8)**2*(3*h + 2)**2/2
Let r(v) be the third derivative of 0*v**3 + 86*v**2 - 11/30*v**5 + 0*v + 0 - 1/20*v**6 + 1/3*v**4. Factor r(d).
-2*d*(d + 4)*(3*d - 1)
Let w(s) = -s**2 - 16*s - 28. Let o be w(-13). Suppose 14 + o = 5*b. Determine c, given that 81*c**b - 12*c**2 + 8*c**4 - 83*c**5 + 4*c**3 - 12*c**2 - 18*c = 0.
-1, 0, 3
Let j(l) be the third derivative of 50*l**7/21 - 895*l**6/6 + 3339*l**5 - 43659*l**4/2 - 333396*l**3 + 25*l**2 + 2*l - 2. Factor j(t).
4*(t + 2)*(5*t - 63)**3
Let r(s) be the first derivative of s**4/8 - 172*s**3/3 - 691*s**2/4 - 173*s - 5921. Let r(n) = 0. What is n?
-1, 346
Let r be (70/28)/((-10)/(-8)). Find o such that r*o**2 + 18 + 3 + 24*o + o**2 = 0.
-7, -1
Factor -803*w**3 + 1626*w**2 - 12888 - 4*w**5 - 281*w**3 - 2464*w + 13672 + 1066*w**2 + 124*w**4 - 48*w**3.
-4*(w - 14)**2*(w - 1)**3
Let p = -12250 - -49003/4. Let i(v) be the first derivative of 0*v + 3/16*v**4 + p*v**3 - 20 + 3/4*v**2. Factor i(u).
3*u*(u + 1)*(u + 2)/4
Let v(d) = 2*d**3 - 36*d**2 + 140*d - 94. Let i(s) = -5*s**3 + 104*s**2 - 422*s + 281. Let x(w) = -2*i(w) - 7*v(w). Factor x(q).
-4*(q - 6)*(q - 4)*(q - 1)
Let n(y) be the third derivative of 0*y**3 + y + 0 + 5*y**2 - 1/96*y**6 - 5/96*y**4 + 1/24*y**5. Factor n(r).
-5*r*(r - 1)**2/4
Suppose -6 = q + b, 0 = q + 13053*b - 13048*b + 50. Suppose -9*p**3 + 81/4*p + 0 - 3/2*p**4 + 27/2*p**2 + 3/4*p**q = 0. Calculate p.
-3, -1, 0, 3
Let a(w) be the first derivative of 1/27*w**3 + 162 + 1/9*w - 1/9*w**2. Find k such that a(k) = 0.
1
Determine j, given that 74 - 1/4*j**3 + 591/4*j + 147/2*j**2 = 0.
-1, 296
Let a(d) be the second derivative of d**4/42 + 92*d**3/7 + 19044*d**2/7 - 796*d. Factor a(x).
2*(x + 138)**2/7
Let q be ((-1)/(-4)*-4)/((-39)/12). Let d(a) be the first derivative of 16/13*a + 14 + 1/26*a**4 - q*a**2 - 4/39*a**3. Suppose d(l) = 0. Calculate l.
-2, 2
Suppose -6*p - 11*p + 17 = 0. Let 2*h**3 + 9*h**4 + p - 27*h**2 + 4113*h + 3 - 4101*h = 0. What is h?
-2, -2/9, 1
Suppose -225*f + 176*f = -98. Let o be ((-9)/(-360))/(1/8). Factor 0*p**f - 1/5*p**3 + 0 + o*p.
-p*(p - 1)*(p + 1)/5
Let x(r) = -r**2 + 763*r - 156022. Let j(p) = -p**2 + 772*p - 156023. Let i(a) = -6*j(a) + 4*x(a). Factor i(u).
2*(u - 395)**2
Let p be 2*-1 - (-5 - 4 - -11). Let g be ((-402)/99 - p)*-51 + -3. Find j such that -1/11*j**2 + 1/11*j**3 - 1/11*j + g = 0.
-1, 1
Let o(g) = -3*g**3 + 384*g**2 - 39*g - 378. Let a(q) = 3*q**3 - 383*q**2 + 46*q + 376. Let i(j) = 6*a(j) + 7*o(j). Let i(y) = 0. What is y?
-1, 1, 130
Let l(j) be the second derivative of -3*j**3 - 1/70*j**5 + 7*j**2 + 5/14*j**4 - 2*j - 6. Determine a so that l(a) = 0.
1, 7
Suppose -3*p = -3 - 3. Suppose l = 4*c - 32, -67 = -4*l - 3*c - 43. Factor -1/5*a**3 - 3/5*a**p + l*a + 0.
-a**2*(a + 3)/5
Factor 26208*v**4 - 43914*v**2 - 45387 - 11*v**3 - 90036*v + 585*v**3 + 268*v**3 - 110*v**3 - 26211*v**4.
-3*(v - 123)**2*(v + 1)**2
Let j(x) be the second derivative of x**5/210 + 2*x**4/21 + 5*x**3/7 - 48*x**2 + 15*x. Let z(k) be the first derivative of j(k). Factor z(v).
2*(v + 3)*(v + 5)/7
Let j(i) be the third derivative of i**8/1512 + 38*i**7/945 + 389*i**6/540 + 40*i**5/27 - 59*i**4/3 + 48*i**3 + 8708*i**2. Let j(n) = 0. Calculate n.
-18, -4, 1
Let 2/7*y**5 - 22/7*y**4 + 0 - 6*y**2 + 62/7*y**3 + 0*y = 0. Calculate y.
0, 1, 3, 7
Let -12/7*v + 34/7*v**2 + 0 - 2/7*v**5 - 34/7*v**3 + 2*v**4 = 0. What is v?
0, 1, 2, 3
Let x(m) be the second derivative of -m**8/420 - m**7/105 + m**5/15 + m**4/6 - 6*m**3 + 8*m. Let g(u) be the second derivative of x(u). Factor g(k).
-4*(k - 1)*(k + 1)**3
Suppose -3*y = -5*c - 18, -c - 355*y = -361*y + 36. Factor 0*a**4 + 2/9*a + 0 + 2/9*a**5 - 4/9*a**3 + c*a**2.
2*a*(a - 1)**2*(a + 1)**2/9
Let r(q) be the second derivative of -q**4/6 - 70*q**3/3 - 136*q**2 + 3*q + 665. Determine v so that r(v) = 0.
-68, -2
Let x = -3002 - -3003. Let q(l) be the first derivative of x + 0*l - 9/5*l**2 - 1/10*l**4 - 4/5*l**3. Factor q(d).
-2*d*(d + 3)**2/5
Let b(l) be the second derivative of l**6/195 + 7*l**5/65 + 16*l**4/39 - 128*l**3/39 + 527*l + 1. Factor b(r).
2*r*(r - 2)*(r + 8)**2/13
Let f(z) be the second derivative of -33*z + 0*z**2 - 1/26*z**4 - 1/195*z**6 + 0 + 0*z**3 - 2/65*z**5. Determine a, given that f(a) = 0.
-3, -1, 0
Let s be 40579/(-5115) - 2*-4. Let c(z) be the second derivative of 2/3*z**3 - 1/5*z**5 + 0 + 0*z**4 - 2*z - s*z**6 + z**2. Factor c(g).
-2*(g - 1)*(g + 1)**3
Let z(g) be the second derivative of 1/16*g**5 + 1/4*g**4 - 1/20*g**6 + 60*g - 1 + 0*g**3 + 1/168*g**7 + 0*g**2. Factor z(s).
s**2*(s - 4)*(s - 3)*(s + 1)/4
Le