/13
Let p(y) be the third derivative of y**8/48 - 22*y**7/105 - 37*y**6/120 + 133*y**5/30 + 15*y**4/2 - 12*y**3 - 1092*y**2. Solve p(f) = 0 for f.
-2, -1, 2/7, 3, 6
Let q(i) be the first derivative of i**7/168 + i**6/18 + i**5/8 - 2*i**3/3 + 8*i**2 - 16. Let p(t) be the third derivative of q(t). Factor p(v).
5*v*(v + 1)*(v + 3)
Suppose 0 = -2*b + 7*b - 3*m - 103, -4*b + 112 = 5*m. Find u, given that -4*u**2 + 9*u + 8*u**2 + 10*u - u**3 - b*u = 0.
0, 2
Suppose 5*j = 4*p + 673, -p + 98 = j - 42. Suppose 5*f + 0*v - 145 = 5*v, -5*f - 3*v = -j. Let -f*d + 4*d - 634 + 650 - 2*d**3 + 12*d**2 = 0. What is d?
2
Let j(f) be the first derivative of -f**5/5 - f**4/4 + 13*f**3/3 + 25*f**2/2 + 12*f - 1066. Factor j(h).
-(h - 4)*(h + 1)**2*(h + 3)
Let o be 264/(-99) + (-4)/(-6). Let a(z) = 30*z**3 - 87*z**2 + 52*z. Let j(d) = d**2 - d. Let f(h) = o*j(h) - a(h). Factor f(g).
-5*g*(g - 2)*(6*g - 5)
Suppose -u - 5*h = -15, 110 = -2*u + 6*u - 5*h. Suppose -32*m + 18 = -26*m. Find a, given that -5*a**4 + 5/2*a + u*a**m - 5 + 30*a**2 - 15/2*a**5 = 0.
-1, 1/3, 2
Let w(q) be the second derivative of 71*q - 1/4*q**5 - 5*q**2 + 0 + 5/2*q**3 + 0*q**4. Factor w(l).
-5*(l - 1)**2*(l + 2)
Let v(x) = -x**2 - x - 12. Let t(y) = 3*y**2 + 132*y + 327. Let q(o) = t(o) + v(o). Let q(n) = 0. Calculate n.
-63, -5/2
Let h be (3/(-9))/(175/(-2625)). Let y(x) be the third derivative of -1/15*x**h + 25*x**2 + 0*x**3 + 0*x + 0*x**4 + 0. Determine d so that y(d) = 0.
0
Let l(u) = 4*u**2 + 9068*u + 5161984. Let j(b) = -b. Let t(o) = 20*j(o) - l(o). Factor t(w).
-4*(w + 1136)**2
Suppose -3*d + 62 = -319. Let -114*m**3 + d*m**2 - 9*m**4 - 14*m - 4*m**5 + 47*m**4 - 18*m - 15*m**2 = 0. Calculate m.
0, 1/2, 1, 4
Suppose -34*f + 44*f = 41*f - 2 + 2. Find x, given that 0*x + 32/7*x**4 + 0*x**2 + 4/7*x**5 + f + 4*x**3 = 0.
-7, -1, 0
Let u = -84 + 87. Let l(q) = -9*q. Let f be l(-2). Factor 22 + m**u + 8*m - f + 2*m**2 + 3*m**2.
(m + 1)*(m + 2)**2
Let n = 135417/74 - 1830. Let p = 239/37 - n. Factor 3*j**3 + 2 + 1/2*j**4 + 6*j + p*j**2.
(j + 1)**2*(j + 2)**2/2
Factor 83*b**3 + 111*b**5 + 24*b**2 - 77*b**3 - 108*b**5 - 15*b**4.
3*b**2*(b - 4)*(b - 2)*(b + 1)
Find k, given that 1/2*k**2 + 943938 - 1374*k = 0.
1374
Let p(y) be the second derivative of y**5/110 + 7*y**4/3 + 299*y**3/11 + 1332*y**2/11 - 7*y - 201. Factor p(l).
2*(l + 3)**2*(l + 148)/11
Let d be (-3)/(-4) + 21*3/12. Let m be (-15)/(-50)*5*92/d. Determine i, given that -1 + 0 + 24*i**2 - m*i**2 = 0.
-1, 1
Let p(h) be the second derivative of 0*h**4 + 11/6*h**3 + 0 - 17*h + 1/5*h**6 - 3*h**2 - 1/42*h**7 - 1/2*h**5. Let p(l) = 0. What is l?
-1, 1, 2, 3
Let s be (-2)/3 + (-56)/(-12). Let h be ((-2)/s)/(2/(-8)). Factor -b**3 + 2*b**3 + 4*b + 11 - b**h - 2*b**3 - 7.
-(b - 2)*(b + 1)*(b + 2)
Let r be (-1)/((-4)/(-20)*-5). Let d = -1 + 9. Factor d*a**2 + r + 6*a - 6 - 9*a**2.
-(a - 5)*(a - 1)
Let i(u) be the first derivative of u**6/3 - 136*u**5/5 + 222*u**4 - 2108*u**3/3 + 1043*u**2 - 732*u + 8993. Suppose i(m) = 0. What is m?
1, 2, 3, 61
Let b(l) = 5982*l - 11963. Let y be b(2). Determine r, given that -2/3*r - y + 1/3*r**2 = 0.
-1, 3
Let q(u) be the second derivative of 6*u**2 - 1/3*u**4 + 4/3*u**3 - 11 - 6*u. Find k, given that q(k) = 0.
-1, 3
Let d(f) be the first derivative of -f**6/6 - 6*f**5/5 - f**4/2 + 16*f**3/3 + 3*f**2/2 - 10*f + 914. What is l in d(l) = 0?
-5, -2, -1, 1
Let o(c) = 2*c**2 - 18*c. Let i(t) = -8*t**2 + 368*t + 276. Let j(p) = i(p) + 5*o(p). Find b such that j(b) = 0.
-138, -1
Find r such that -336*r**3 - 1896*r - 5152 - 2485*r**4 + 2924*r**2 - 2394*r**4 + 4875*r**4 = 0.
-92, -1, 2, 7
Let y(a) = -52*a**2 + 176*a + 32. Let b be (22/33)/(0 + 2/6). Let o(c) = 8*c**b + 1 - 6 - 12*c - 15*c. Let t(v) = -32*o(v) - 5*y(v). Factor t(h).
4*h*(h - 4)
Let v(g) be the first derivative of 0*g**4 + 0*g**3 - 10*g + 1/5*g**5 - 1 + 0*g**2. Let b(q) be the first derivative of v(q). Factor b(l).
4*l**3
Let b be (4124/(-7217))/(64/(-28) + -2). What is t in 2/15*t**4 - b*t**5 + 4/15*t**3 + 0*t + 0*t**2 + 0 = 0?
-1, 0, 2
Suppose -2*a - 7 = -17. Let m(b) = 8*b - 15. Let p be m(a). Factor -p*v**3 - 4*v**4 + 2*v**2 + 30*v**3 + 9*v**4 - 12*v**2.
5*v**2*(v - 1)*(v + 2)
Let x = 440 - 424. Let y be ((-128)/(-6))/x*(-6)/(-40). Factor 0*g**2 + 1/5*g - y*g**3 + 0.
-g*(g - 1)*(g + 1)/5
Solve 36395/6*g**3 + 9010/3*g + 5780/3 - 34165/3*g**2 + 35/6*g**5 + 1160/3*g**4 = 0 for g.
-34, -2/7, 1
Let m(y) = y**4 - y**2 - y + 2. Let p(w) = 166384*w**4 - 184525*w**3 + 18801*w**2 - 677*w + 26. Let v(f) = -36*m(f) + 4*p(f). Suppose v(x) = 0. Calculate x.
2/55, 1
Let w(k) be the third derivative of k**7/945 + 19*k**6/270 - k**5/270 - 19*k**4/54 + 33*k**2 - 3*k. Factor w(z).
2*z*(z - 1)*(z + 1)*(z + 38)/9
Let m = 53866 - 592524/11. Factor 26/11 - 26/11*g**2 - 2/11*g + m*g**3.
2*(g - 13)*(g - 1)*(g + 1)/11
Factor -54 + o**5 + 54 + 33*o**2 + 84*o**3 + 13*o**4 + 111*o**2 + 3*o**4.
o**2*(o + 4)*(o + 6)**2
Factor 52/3*m**3 + 46/3*m**2 + 0 + 2/3*m**4 - 100/3*m.
2*m*(m - 1)*(m + 2)*(m + 25)/3
Let a(m) be the first derivative of -5 + 14/3*m**3 - 1/2*m**4 - 3/20*m**5 + 8*m + 1/30*m**6 - 12*m**2. Let k(y) be the first derivative of a(y). Factor k(v).
(v - 2)**3*(v + 3)
Let j(r) = 802*r - 58546. Let m be j(73). Factor 8/3*w + m - 2/9*w**2.
-2*w*(w - 12)/9
Let w(q) be the first derivative of 0*q**2 + 0*q + 2/45*q**3 + 8 - 1/10*q**4. Factor w(f).
-2*f**2*(3*f - 1)/15
Suppose 0 = 3*p - 2*j - 1302 - 1153, -3*p + 2461 = -5*j. Suppose -p*c + 822*c = 10. Factor 1/8 + 0*l - 1/8*l**c.
-(l - 1)*(l + 1)/8
Let w be 96/(-40)*(-2 - 1632/(-9)). Let s = w - -431. Factor s*h**4 + 0 - 1/5*h**5 + 0*h**2 + 0*h - 2/5*h**3.
-h**3*(h - 2)*(h - 1)/5
Let r(i) = -i**2 - 2. Let f(z) be the first derivative of -7*z**4 - 10*z**3/3 + 56*z**2 + 4*z - 28. Let v(q) = -f(q) + 6*r(q). Let v(c) = 0. Calculate c.
-2, -1/7, 2
Let a(k) be the second derivative of -k**7/189 - k**6/15 + k**5/9 + 27*k - 3. Determine g so that a(g) = 0.
-10, 0, 1
Let w be (-20)/2*36/(-40). What is u in 2*u**2 + w*u**2 + 8*u + 19*u**2 + 7*u**4 - 10*u**2 + u**5 + 18*u**3 = 0?
-2, -1, 0
Suppose 0 = 355*r - 358*r + 3, -3*v = r - 13. Let -1/6*l**3 + 0 - 1/6*l**v + 0*l + l**2 = 0. Calculate l.
-3, 0, 2
Determine i so that -3/8*i**4 - 45/8 - 3/4*i**3 + 3/4*i + 6*i**2 = 0.
-5, -1, 1, 3
Let q = 16724 - 16717. Let p(y) be the third derivative of 3/5*y**5 - 47*y**2 + 0*y + 0*y**3 + 0 + 1/140*y**q + 9/4*y**4 - 11/80*y**6. Factor p(b).
3*b*(b - 6)**2*(b + 1)/2
Let q(a) be the first derivative of -4/45*a**5 + 0*a**4 - 16 + 4/27*a**3 + 0*a**2 + 0*a. Determine x so that q(x) = 0.
-1, 0, 1
Let c be 20*(-45)/40*((-28)/(-10) - 3). Factor -3/2*v**3 + 0 - c*v**2 - 3*v.
-3*v*(v + 1)*(v + 2)/2
Let o = -572423 - -572423. Factor o*u + 1/8*u**4 + 0 - 3/4*u**3 - 7/8*u**2.
u**2*(u - 7)*(u + 1)/8
Solve 268/9*q + 262/9*q**4 - 398/9*q**2 + 4/9*q**5 - 136/3*q**3 + 0 = 0.
-67, -1, 0, 1/2, 2
Suppose -68*i + 88 = -57*i. Let q be 6/2 + -2 + 3. Factor -i*h**2 - h**5 + 4*h**4 + 5*h**5 - 89 + 93 + q*h - 8*h**3.
4*(h - 1)**2*(h + 1)**3
Let r(q) be the first derivative of 3/40*q**5 + 15/32*q**4 - 212 + q**3 + 3/4*q**2 + 0*q. Determine h, given that r(h) = 0.
-2, -1, 0
Let a be -2 + (-3876)/42 - (-2 - -3). Let t = -95 - a. Let 4/7 - 2/7*s + t*s**3 - 4/7*s**2 = 0. Calculate s.
-1, 1, 2
Let m(l) be the first derivative of -l**3/12 - 9*l**2/2 - 315*l/4 - 3477. Determine c so that m(c) = 0.
-21, -15
Let j be (-3)/((-6)/56) - (-1152 + 1176). Suppose 108/7 - 30/7*y**3 + 3/7*y**5 - 261/7*y - 12/7*y**j + 192/7*y**2 = 0. Calculate y.
-4, 1, 3
Suppose 13 = 8*v - 91. Suppose 23 + v = 4*q. Find h such that -10*h + 6*h**3 + q - 20*h + 0*h**3 - 27*h**2 + 6*h**3 = 0.
-1, 1/4, 3
Let y(z) be the second derivative of z**7/336 + 7*z**6/120 + 27*z**5/80 + 11*z**4/12 + 65*z**3/48 + 9*z**2/8 + 2*z - 287. Factor y(w).
(w + 1)**3*(w + 2)*(w + 9)/8
Factor 17/5*k**2 - k**3 - 28 + 344/5*k.
-(k - 10)*(k + 7)*(5*k - 2)/5
Let t = -1528 - -1543. Let k(y) be the first derivative of 2/9*y**3 + 2*y**2 + 6*y + t. What is m in k(m) = 0?
-3
Let b(q) = -20*q + 9*q + q**2 - 14 + 2 - 10. Let o be b(13). Solve -44*m**o + 0*m**3 + 60*m**4 + 8*m**2 - 4*m**5 - 20*m**3 = 0 for m.
0, 1, 2
Let y(l) be the second derivative of l**7/27 + 43*l**6/135 + 2*l**5/5 - 112*l - 4. Determine p, given that y(p) = 0.
-36/7, -1, 