he first derivative of 0*w - 1/120*w**5 + 5/24*w**4 - 8*w**2 - 25/12*w**3 - 4. Let y(m) be the second derivative of q(m). Factor y(d).
-(d - 5)**2/2
Suppose -2*r - 5*a = -21, 5*r - 34 = -5*a - 4. Factor -14 - 52*f**2 - 63*f**2 - 62*f**2 + 27*f - f**r + 165*f**2.
-(f - 1)**2*(f + 14)
Let q(n) = 2*n**2 + 5*n - 87. Let f be q(-9). Factor -103*t + 4624 - f*t**2 - 33*t + 31*t**2.
(t - 68)**2
Suppose 8*z - 9*z - 4*f + 19 = 0, -3*f + 9 = -z. Let w(b) be the second derivative of -5/6*b**4 + 14*b - 11/3*b**z + 0 - 2*b**2. Factor w(g).
-2*(g + 2)*(5*g + 1)
Let w(x) be the third derivative of x**6/240 - x**5/5 + 55*x**4/16 - 121*x**3/6 + 9*x**2 - 6*x - 14. Factor w(f).
(f - 11)**2*(f - 2)/2
Let p(m) be the second derivative of m**4/21 + 136*m**3/21 + 320*m**2 + 44*m - 21. Solve p(u) = 0.
-40, -28
Let s(a) be the first derivative of 0*a + 1/27*a**6 + 4/15*a**5 - 101 + 0*a**2 + 1/2*a**4 + 0*a**3. Factor s(t).
2*t**3*(t + 3)**2/9
Let u(k) be the first derivative of -2*k**5/105 - 10*k**4/21 - 64*k**3/63 + 80*k**2/21 + 96*k/7 + 1098. What is s in u(s) = 0?
-18, -2, 2
Let y(g) = 39*g**2 - 6 + 17 + 34 + 123*g + 2*g**3 + 38. Let x(z) = -3*z**3 - 41*z**2 - 122*z - 82. Let p(d) = 3*x(d) + 2*y(d). Determine i, given that p(i) = 0.
-4, -1
Let p = -945143/36 + 26254. Let j(o) be the second derivative of 0*o**2 + 0 - 1/8*o**4 + 0*o**3 + p*o**6 - 1/40*o**5 + 26*o - 1/252*o**7. Factor j(x).
-x**2*(x - 3)**2*(x + 1)/6
Let d(t) be the first derivative of -3*t**5/10 - 453*t**4/8 - 75*t**3 + 2297. Factor d(j).
-3*j**2*(j + 1)*(j + 150)/2
Let r = 651387 - 1954160/3. What is v in -r*v**2 + 1/3*v**3 + 4/3 - 4/3*v = 0?
-2, 1, 2
Let t = 578/411 + 77/822. Let 2 - 1/2*f**2 + 6*f - t*f**3 = 0. Calculate f.
-2, -1/3, 2
Let x = -167 + 142. Let w = x + 27. Factor 2*t**3 - 2*t**3 - 16*t - 8*t**3 - 8*t**w + 36*t**2 - 4*t**4.
-4*t*(t - 1)**2*(t + 4)
Let u(r) = r**3 - 15*r**2 - 6*r + 3. Let l(o) = -3*o**3 + 44*o**2 + 16*o - 8. Let x(i) = -3*l(i) - 8*u(i). Factor x(k).
k**2*(k - 12)
Let q(z) = 52*z**4 + 116*z**3 + 220*z**2 + 108*z. Let i(h) be the third derivative of h**7/70 - 5*h**2 - 9*h. Let g(l) = -16*i(l) + q(l). Factor g(v).
4*v*(v + 1)**2*(v + 27)
Solve -48*p**3 - 36*p**4 + 436*p**3 - 154*p**3 + 300*p**2 + 2*p**4 + 32*p = 0.
-1, -2/17, 0, 8
Let o(g) be the second derivative of g**6/20 + 14*g**5/75 - g**4/15 + 15*g**2/2 + 41*g. Let r(d) be the first derivative of o(d). Factor r(s).
2*s*(s + 2)*(15*s - 2)/5
Let t(f) be the third derivative of -21*f**6/160 - 31*f**5/60 - 59*f**4/96 + f**3/12 - f**2 - 1672. Suppose t(g) = 0. Calculate g.
-1, 2/63
Let d(k) be the second derivative of -k**4/36 + 2*k**3 + 37*k**2/6 + 327*k. What is g in d(g) = 0?
-1, 37
Let d(a) = a**2 + 27*a - 43. Let l(o) = -2*o**2 - 28*o + 44. Suppose 5*p = 4*g + 8 + 1, 0 = -5*g + p + 15. Let s(z) = g*d(z) + 3*l(z). Factor s(j).
-2*(j - 10)*(j - 2)
Factor 5/6*y**3 + 0 - 5*y - 25/6*y**2.
5*y*(y - 6)*(y + 1)/6
Let p(s) be the first derivative of -2*s**5/15 - 22*s**4/3 - 160*s**3/9 + 176*s**2/3 + 224*s - 6700. Suppose p(c) = 0. What is c?
-42, -2, 2
Let i(z) = z**2 - 64*z - 11520. Let r be i(-80). Factor 0*s + 10/13*s**4 + 8/13*s**2 + r + 2/13*s**5 + 16/13*s**3.
2*s**2*(s + 1)*(s + 2)**2/13
Let p(d) be the first derivative of d**5/5 - 21*d**4/2 + 27*d**3 - 20*d**2 + 4276. Determine q, given that p(q) = 0.
0, 1, 40
Let h(i) = -12*i**4 - 49*i**3 + 61*i**2 - 22. Let k(p) = p**4 - p**3 + 2. Let m(t) = -5*h(t) - 55*k(t). What is c in m(c) = 0?
-61, 0, 1
Let 968702 + 7*b**3 - 968702 - 8*b**4 + b**5 = 0. What is b?
0, 1, 7
Let l(n) be the third derivative of -317*n**5/210 + 158*n**4/21 + 4*n**3/21 + 275*n**2 + 2. Let l(m) = 0. Calculate m.
-2/317, 2
Let f be (-692)/6*33/(-22). Let h = 868/5 - f. Factor 0*o**2 + 0 + 3/5*o - h*o**3.
-3*o*(o - 1)*(o + 1)/5
Let w be 105/72 + (92/(-32))/23. Let t(s) be the third derivative of 1/3*s**4 - w*s**3 + 0*s + 0 - 1/30*s**5 - 7*s**2. Factor t(u).
-2*(u - 2)**2
Let b(j) = 3*j**2 + 202*j - 2581. Let u be b(11). Let n(d) be the second derivative of -1/102*d**u + 10/17*d**2 + 0 + 1/17*d**3 - 30*d. Factor n(i).
-2*(i - 5)*(i + 2)/17
Let v(z) be the second derivative of -1/15*z**3 - 1/35*z**7 - 2/5*z**2 + 0 + 2/25*z**5 + 52*z + 1/5*z**4 - 4/75*z**6. Find a, given that v(a) = 0.
-1, 2/3, 1
Let 444*z**2 - 70*z**3 + 577*z**3 - 171*z**2 + 420*z**3 + 36*z + 147*z**2 - 357*z**4 = 0. Calculate z.
-2/7, -2/17, 0, 3
Let w = -33936 - -101809/3. Suppose 1 + 3 = 2*d. Factor -1/3*m - 2/3 + w*m**d.
(m - 2)*(m + 1)/3
Factor 3*t**4 - 12*t**2 + 93*t**2 + 53*t**3 - 8*t**3 + 180 + t**4 - t**4 - 309*t.
3*(t - 1)**2*(t + 5)*(t + 12)
Solve -20*o + 45*o**3 + 60*o**3 + 95*o**2 + 10*o - 20*o - 20*o**4 = 0 for o.
-1, 0, 1/4, 6
Let b(l) be the third derivative of -49*l**6/160 - 861*l**5/10 - 981*l**4/8 - 70*l**3 - 2*l**2 - 6*l. Find v such that b(v) = 0.
-140, -2/7
Let m**4 + 5*m**5 - 24*m**2 + 2*m**4 - 8*m**4 + 163*m**3 - 203*m**3 + 84*m**2 = 0. What is m?
-3, 0, 2
Let q(t) be the first derivative of 15/8*t**2 + 7/8*t**3 + 3/32*t**4 + 0*t - 8. Factor q(o).
3*o*(o + 2)*(o + 5)/8
Factor -122/3*i**3 - 22990/3*i - 2/3*i**4 - 74536/3 - 858*i**2.
-2*(i + 11)**3*(i + 28)/3
Let c(l) be the first derivative of 15/4*l**4 - 54 - 90*l + 35/3*l**3 - 75/2*l**2 - l**5. Factor c(u).
-5*(u - 3)**2*(u + 1)*(u + 2)
Let z(i) be the first derivative of 121*i**3/4 - 33*i**2/4 + 3*i/4 + 80. Determine j so that z(j) = 0.
1/11
Let p(d) be the first derivative of 9*d**6/4 - 9*d**5 + 21*d**4/2 - 4*d**3 + 989. Factor p(l).
3*l**2*(l - 2)*(3*l - 2)**2/2
What is d in -180 - 364/5*d + 41/5*d**2 - 1/5*d**3 = 0?
-2, 18, 25
Let l = -6/6401 - 9057343/76812. Let f = -445/4 - l. Suppose -f + 5*t + 5/3*t**2 = 0. Calculate t.
-4, 1
Let t(k) be the third derivative of 0*k**3 + 2 - 1/50*k**5 + 0*k - 1/60*k**4 - 3*k**2. Factor t(b).
-2*b*(3*b + 1)/5
Let g(k) be the first derivative of -k**3/3 - 1369*k**2/2 + 1370*k - 1822. Factor g(w).
-(w - 1)*(w + 1370)
Let s be ((-10)/(-24))/(2465/174 + -14). Let t(g) be the third derivative of g**5 + 0 + s*g**3 + 1/42*g**7 + 20*g**2 + 0*g + 25/12*g**4 + 1/4*g**6. Factor t(l).
5*(l + 1)**3*(l + 3)
Let l(f) be the second derivative of -2*f**6/15 - 13*f**5/20 + 7*f**4/4 + 19*f**3/3 + 4*f**2 - 5*f - 135. Solve l(t) = 0 for t.
-4, -1, -1/4, 2
Suppose 0 = -u - 6 + 2, 0 = x + 5*u + 16. Suppose 0 = 5*d - x*p - 22, 2*d + 9*p = 4*p + 22. Factor k**4 + d*k**3 + k**4 + 8 - 10*k**2 + 2*k - 8*k.
2*(k - 1)**2*(k + 1)*(k + 4)
Suppose 6*g = -0 + 24. Suppose -5*k + i = -16, 0 = 2*k - g*i - 12 + 2. What is n in -9*n**2 - 16*n**k + 22*n**3 + 9*n**4 + 3*n - 4*n - 5*n = 0?
-1, -2/3, 0, 1
Let o be 4/(-8) + (0 - (-70)/4). Factor -9*n**4 + n**4 - 6*n - 13*n**2 + 2*n**5 + o*n**2 + 4*n**2 + 4*n**3.
2*n*(n - 3)*(n - 1)**2*(n + 1)
Let n be (21/(-18))/((1820/(-250))/26). Factor 20/3*g + n*g**2 + 8/3.
(5*g + 4)**2/6
Let p(o) be the second derivative of 4/3*o**4 + 13/3*o**3 + 0 + 6*o**2 + 1/10*o**5 + 80*o. Find w, given that p(w) = 0.
-6, -1
Let a(i) be the second derivative of -i**5/80 - 5*i**4/48 + i**3 + 742*i - 1. Find w such that a(w) = 0.
-8, 0, 3
Let v(s) = 26*s - 205. Let k be v(8). Let x(l) be the first derivative of 0*l + l**5 + 5*l**4 + 5*l**2 + 25/3*l**k - 13. Factor x(y).
5*y*(y + 1)**2*(y + 2)
Let a(i) be the third derivative of -i**6/280 + i**5/2 + 73*i**4/56 - 71*i**3/7 + 104*i**2. Factor a(q).
-3*(q - 71)*(q - 1)*(q + 2)/7
Let f(r) be the first derivative of 5*r**4/2 - 42*r**3 + 34*r**2 + 48*r + 206. Find m, given that f(m) = 0.
-2/5, 1, 12
Let r(u) be the second derivative of u**7/1155 - u**5/55 - 2*u**4/33 - u**3/11 - 61*u**2/2 + 249*u. Let g(s) be the first derivative of r(s). Factor g(d).
2*(d - 3)*(d + 1)**3/11
Let 174*r - 800/3*r**2 - 524*r**3 - 212*r**4 + 10/3*r**5 + 132 = 0. What is r?
-1, 3/5, 66
Factor x**3 - 1256 + 46*x**2 + 10*x**2 + 179*x**2 + 664*x + 82*x**2 + 274*x.
(x - 1)*(x + 4)*(x + 314)
Determine p so that -10068/11*p - 12670578/11 - 2/11*p**2 = 0.
-2517
Let u = -915/127 - -10873/381. Determine b so that 1/3*b**3 + u - 5*b**2 + 16*b = 0.
-1, 8
Let t(w) be the second derivative of w**6/600 + 11*w**5/300 + 23*w**4/120 - 7*w**3/6 - 47*w**2 - 159*w. Let d(v) be the first derivative of t(v). Factor d(s).
(s - 1)*(s + 5)*(s + 7)/5
Let i(z) be the first derivative of 3*z**4/4 + 35*z**3 + 336*z**2 - 780*z - 4784. Factor i(b).
