*l + 1. Solve f(g) = 0.
-3, 1/2
Factor 2/5*k + 0 - 96/5*k**2.
-2*k*(48*k - 1)/5
Let r = 679/284 - -629/71. Factor -15/2*g + r + 5/4*g**2.
5*(g - 3)**2/4
Factor 3648 + 134*n + 211*n + 4*n**2 + 583*n.
4*(n + 4)*(n + 228)
Let m(f) be the second derivative of -16*f - 6/5*f**2 - 1/30*f**3 + 0 + 1/60*f**4. Solve m(t) = 0 for t.
-3, 4
Suppose 2*j**3 - 102*j**2 - 1/4*j**5 + 204 - 4*j + 51/4*j**4 = 0. What is j?
-2, 2, 51
Factor -350*q**4 - 640/3*q**2 + 480*q**3 + 0 + 245/3*q**5 + 0*q.
5*q**2*(q - 2)*(7*q - 8)**2/3
Let d be (-2)/4*(87 + -89) - -791. Let k = 7921/10 - d. Factor 1/10*f**2 + k*f**3 + 3/10 - 1/2*f.
(f - 1)**2*(f + 3)/10
Let s = 14/14181 - -6466046/496335. Let r = s + -80/7. Solve 2/15*a**3 - 2/15*a**2 + r - 16/15*a = 0 for a.
-3, 2
Let t = 20 - 21. Let d be (2 + 2)/(t + 2). Factor -2*y**4 + 5*y**d - 5*y**3 + 3*y**2 - 2*y**4 + 4*y**2 - 3*y.
y*(y - 3)*(y - 1)**2
Let m(r) be the second derivative of r**8/3360 + r**7/420 - r**4/12 - 46*r**2 + 47*r. Let j(a) be the third derivative of m(a). Suppose j(i) = 0. What is i?
-3, 0
Let y = 623/1896 - 19/158. Let r(q) be the third derivative of -1/12*q**5 + 36*q**2 + 0 + y*q**4 + 5/3*q**3 + 0*q. Let r(m) = 0. What is m?
-1, 2
Let p = -167 - -170. Factor 83*b**2 - 63*b**3 - 26*b**2 + p*b**4 + 0*b**5 + 24*b**4 - 18*b - 3*b**5.
-3*b*(b - 6)*(b - 1)**3
Let w(m) be the second derivative of m**5/110 - 20*m**4/11 + 1159*m**3/11 + 7442*m**2/11 - 508*m. Factor w(p).
2*(p - 61)**2*(p + 2)/11
Factor 0 - 190/7*t**2 + 8/7*t - 48/7*t**3.
-2*t*(t + 4)*(24*t - 1)/7
Factor -1/5*g**4 + 0 - 15*g**2 + 22/5*g**3 + 54/5*g.
-g*(g - 18)*(g - 3)*(g - 1)/5
Let k(v) be the first derivative of 14/9*v**2 + 0*v + 56 + 2/27*v**3. Factor k(o).
2*o*(o + 14)/9
Let j = 812902 + -812898. Suppose 49*r**3 + 384*r - 1402/5*r**2 + 1/5*r**5 + 36/5*r**j - 160 = 0. Calculate r.
-20, 1, 2
Let a(x) be the third derivative of -x**5/42 - 29*x**4/84 + 26*x**3/7 - 1207*x**2. Find n such that a(n) = 0.
-39/5, 2
Let z(y) = 4*y**4 + 107*y**3 - 1437*y**2 + 8000*y - 6659. Let h(t) = 14*t**4 + 326*t**3 - 4312*t**2 + 24000*t - 19978. Let j(b) = 3*h(b) - 10*z(b). Factor j(a).
2*(a - 16)**2*(a - 13)*(a - 1)
Let -220*m**3 + 8*m**5 + 7*m**4 + 54 + 156 - 284*m**2 - 116*m**3 + 416*m + 30 - 51*m**4 = 0. What is m?
-3, -2, -1/2, 1, 10
Let d be 480/(-14) - 16/(2 + 2). Let h = 1361/35 + d. Factor -2/5*c**3 - 1/5*c**5 - h*c**4 + 0*c**2 + 0 + 0*c.
-c**3*(c + 1)*(c + 2)/5
Let y(f) be the second derivative of 7*f**5/90 - 208*f**4/9 + 356*f**3/27 - 4631*f. Find n, given that y(n) = 0.
0, 2/7, 178
Solve 367/2*q + 184 - 1/2*q**2 = 0 for q.
-1, 368
Let j be (-12)/(-2) + -20 + (-1400)/(-125) - -4. Factor 2058/5 - 882/5*o + 126/5*o**2 - j*o**3.
-6*(o - 7)**3/5
Let r(d) = 7*d**2 + 17*d + 9. Let t(a) = 3*a**2 + 8*a + 5. Let u(j) = -2*r(j) + 5*t(j). Let l(g) = 4*g**2 + 23*g + 28. Let p(f) = -2*l(f) + 9*u(f). Factor p(q).
(q + 1)*(q + 7)
Let o(s) be the first derivative of -126 + 1/4*s**2 + 1/2*s**3 - 3/2*s - 1/8*s**4. Suppose o(d) = 0. Calculate d.
-1, 1, 3
Let v be 2/(-16) + -15*330/(-25200). Let y(f) be the first derivative of -2/21*f**3 - v*f**4 - 23 + 0*f**2 + 0*f. Factor y(q).
-2*q**2*(q + 1)/7
Let q(i) be the first derivative of 108/5*i**3 - 4374/5*i**2 + 78732/5*i - 27 - 1/5*i**4. Factor q(o).
-4*(o - 27)**3/5
Let d(y) = -24*y**3 - 630*y**2 + 2568*y - 2580. Let i(c) = -41*c**3 - 1261*c**2 + 5136*c - 5160. Let z(u) = 5*d(u) - 3*i(u). Let z(p) = 0. What is p?
-215, 2
Factor -1559 - w**2 - 920 + 187 - 585*w - 2*w**2.
-3*(w + 4)*(w + 191)
Suppose -3*u + u + 8 = -z, -4*u + 58 = 19*z. Factor 0 + c**4 - 3/5*c**3 - 12/5*c - 32/5*c**z.
c*(c - 3)*(c + 2)*(5*c + 2)/5
Let h(o) = 2*o**3 - 94*o**2 - 698*o - 1654. Let r(i) = 3*i**3 - 96*i**2 - 695*i - 1655. Let v(y) = 5*h(y) - 4*r(y). Factor v(z).
-2*(z + 5)**2*(z + 33)
Let u(h) = -24*h**3 + 2376*h**2 + 8144*h + 2932. Let n(s) = -47*s**3 + 4751*s**2 + 16320*s + 5863. Let w(q) = 4*n(q) - 7*u(q). Find r such that w(r) = 0.
-3, -2/5, 122
Let j(z) be the third derivative of z**5/12 + 1255*z**4/6 - 1675*z**3/2 + 2*z**2 - 3514. Find p, given that j(p) = 0.
-1005, 1
Suppose 4*y + 1443*y**5 - 2904*y**5 + 1460*y**5 - 8*y**2 + 3*y**3 + 2*y**4 = 0. What is y?
-2, 0, 1, 2
Let c(x) be the second derivative of -x**6/1800 - x**5/200 - x**4/60 + 52*x**3/3 + 12*x - 3. Let u(w) be the second derivative of c(w). What is j in u(j) = 0?
-2, -1
Factor 3/5*c**3 + 9051507/5 + 9061929/5*c + 2085*c**2.
3*(c + 1)*(c + 1737)**2/5
Factor 493485556 + 36*y**3 + 2636552577 + 928658915 - 11009124*y + 9954*y**2 - 24*y**3 - 15*y**3.
-3*(y - 1106)**3
Let g(w) = -w**4 + w**3 + w**2 - w. Let h(x) = 6*x**4 - 28*x**3 + 60*x**2 + 4*x. Let n(i) = 4*g(i) + h(i). Let n(a) = 0. Calculate a.
0, 4, 8
Factor 15*z**2 + 3*z**3 - 29*z**2 + 102 - 59*z - 34*z**2 - 3*z + 5*z.
3*(z - 17)*(z - 1)*(z + 2)
Let q(i) be the second derivative of -i**6/90 - 5*i**5/2 - 673*i**4/4 - 1800*i**3 - 7776*i**2 - 72*i + 1. Find x, given that q(x) = 0.
-72, -3
Let g = 294 - 291. Factor 2*p**4 + 0*p**4 + 30*p + g*p**4 - 20*p**3 + 5*p**2.
5*p*(p - 3)*(p - 2)*(p + 1)
Let t(k) be the second derivative of 2/135*k**6 - 5/27*k**3 - 124*k - 11/180*k**5 + 0 - 43/108*k**4 + 0*k**2. Determine y, given that t(y) = 0.
-2, -1/4, 0, 5
Let j be (-11)/(-132) + (-10)/(-40). Let s(u) be the first derivative of 1/15*u**5 - 4/3*u - j*u**4 + 4 + 2/3*u**2 + 1/3*u**3. Determine i so that s(i) = 0.
-1, 1, 2
Let v(t) be the first derivative of -t**7/1470 - t**6/168 - 12*t**2 + 2. Let j(a) be the second derivative of v(a). Factor j(p).
-p**3*(p + 5)/7
Suppose 4*r + 28 = -r - c, -3*r + 2*c - 22 = 0. Let y be (r/1)/(5/((-5)/2)). Factor -2*g + 9*g**2 - y*g**3 - 3*g + 4*g - 5*g.
-3*g*(g - 2)*(g - 1)
Let m(w) be the third derivative of w**6/24 - 59*w**5/6 - 50*w**4 + w**2 + 2*w + 23. Determine o, given that m(o) = 0.
-2, 0, 120
Let m(s) be the third derivative of 1/8*s**4 + 3/20*s**5 + 0*s**3 - 4 - 2*s**2 + 0*s - 1/10*s**6. Determine n so that m(n) = 0.
-1/4, 0, 1
Let x be 26/(-8) - 1118/(-344). Factor 2/9*u**2 + x - 10/9*u.
2*u*(u - 5)/9
Factor 2829 + 4920*u + 5911*u + 192*u**3 - 2639*u + 2*u**4 + 7923 + 2112*u**2.
2*(u + 4)**3*(u + 84)
Let z(p) be the second derivative of 6*p - 600*p**2 - 1/4*p**4 - 20*p**3 + 0. Find o such that z(o) = 0.
-20
Let k(x) be the third derivative of 11*x**6/36 - 391*x**5/90 - 199*x**4/18 + 16*x**3/3 + 2476*x**2. Suppose k(b) = 0. What is b?
-1, 6/55, 8
Let w(d) be the second derivative of -d**5/30 - 121*d**4/9 + 1004*d**3/3 - 3048*d**2 - 2*d - 4160. Let w(x) = 0. Calculate x.
-254, 6
Let o(w) be the first derivative of -4*w**3/3 + 334*w**2 + 5349. Factor o(f).
-4*f*(f - 167)
Let j(z) = -14*z**2 + 1187*z + 18. Let i(r) = 6*r**2 - 596*r - 8. Let s(u) = 9*i(u) + 4*j(u). Suppose s(c) = 0. Calculate c.
-308, 0
Let i = -65 - -38. Let g = i - -36. Factor 3*m + 0*m + g*m**3 - 9*m**2 + 1893*m**4 - 1896*m**4.
-3*m*(m - 1)**3
Factor 2*s - 4*s**2 - 397*s**3 - 4*s + 395*s**3.
-2*s*(s + 1)**2
Let n(u) be the first derivative of 0*u - 1/90*u**5 - 13 + 1/3*u**3 + 17/2*u**2 - 1/18*u**4. Let a(g) be the second derivative of n(g). Factor a(w).
-2*(w - 1)*(w + 3)/3
Let r be ((-26)/3)/((-20922)/2853). Find z, given that r*z**3 - 13/11*z + 1/11*z**4 + z**2 - 12/11 = 0.
-12, -1, 1
Factor -5990/11*w**2 - 4482018/11 + 2/11*w**3 + 4488006/11*w.
2*(w - 1497)**2*(w - 1)/11
Let w(l) be the second derivative of l**5/15 + l**4/3 + 2*l**3/3 - 18*l**2 - 3*l + 5. Let z(m) be the first derivative of w(m). Factor z(j).
4*(j + 1)**2
Let m(n) be the first derivative of -n**3/12 + 23*n**2/8 + 6*n + 1375. Factor m(y).
-(y - 24)*(y + 1)/4
Let p(v) = -v**3 + 13*v**2 - 23*v. Let w be p(11). Let c be (1 - w)/(-2) - 2989/(-488). Find u, given that c + 1/4*u + 1/8*u**2 = 0.
-1
Let g = -15530 + 15556. Let s(b) be the first derivative of -12/5*b + 1/5*b**3 - g + 9/10*b**2. Factor s(w).
3*(w - 1)*(w + 4)/5
Let w(h) = -24*h - 478. Let j be w(-20). Let n(d) be the first derivative of 1/5*d**5 + 11/16*d**4 + 3/4*d**3 + 6 - 1/4*d + 1/8*d**j. Let n(t) = 0. What is t?
-1, 1/4
Let x = 647 - 3223/5. Let v(d) be the first derivative of 3*d**3 + 39/10*d**2 + 21/20*d**4 + 16 + x*d + 3/25*d**5. Factor v(b).
3*(b + 1)**3*(b + 4)/5
Let c(x) be the second derivative of x**5/5 + 7*x**4/3 + 14*x**3/3 - 30*x**2 - x + 36. Factor c(i).
4*(i - 1)*(i + 3)*(i + 5)
Let s(c) b