 + 2)
Let o(s) be the second derivative of 2*s**4/15 - 37*s**3/30 - 3*s**2/2 + s + 2. Find m, given that o(m) = 0.
-3/8, 5
Let b(d) be the third derivative of -d**5/140 + 25*d**4/56 - 57*d**3/7 - 25*d**2 - 47. Factor b(a).
-3*(a - 19)*(a - 6)/7
Let y(k) be the third derivative of k**5/270 - 745*k**4/54 + 555025*k**3/27 - 5*k**2 + 13*k. Find b, given that y(b) = 0.
745
Let c(u) = 4*u**3 - 3*u**2 - 13*u - 3. Let o(k) = 4*k**3 - 2*k**2 - 14*k - 2. Let v be -5 + 2*(3 - 1/(-1)). Let h(f) = v*o(f) - 2*c(f). Factor h(w).
4*w*(w - 2)*(w + 2)
Let v(z) = -z**3 - z**2 - z. Suppose -17*m = -20*m + 9. Let x(s) = 5*s**3 - 9*s**2 - 26*s. Let b(o) = m*x(o) + 12*v(o). Find i such that b(i) = 0.
-2, 0, 15
Solve 6 + 2/9*v**2 - 8/3*v = 0.
3, 9
Suppose -4*b + 10 - 6 = 0. Suppose 3*i - 9 = 3*k, -11 = -4*i - 3*k + b. Factor -x**3 + 6*x**2 - 9*x**i + 7*x**3.
-3*x**2*(x - 2)
Let n(l) = -8*l**2 - 2*l + 14*l + 12 - 11*l - l**3. Let h be n(-8). Factor -x + 2 + 2*x + x**3 + 0*x - h*x.
(x - 1)**2*(x + 2)
Solve 15/2 + 309/4*j - 81/2*j**2 = 0.
-5/54, 2
Suppose -4*n + 3*y = 8*y - 33, -2*n = 5*y - 29. Suppose -3*h - k - n = -4*h, 0 = -4*h - k + 13. Factor 0*m + 1 + 1/4*m**h - 3/4*m**2.
(m - 2)**2*(m + 1)/4
Factor 6/5*z**2 + 2/5*z**3 + 24/5 - 32/5*z.
2*(z - 2)*(z - 1)*(z + 6)/5
Let g(q) = -q + 2. Let o(h) = 2*h**2 + 45*h - 29. Let t(w) = -44*w + 30. Let j(z) = 2*o(z) + 3*t(z). Let m(f) = 6*g(f) + j(f). Factor m(u).
4*(u - 11)*(u - 1)
Let p = -53771 - -53775. Determine l so that 146/3*l - 574/3*l**2 - p - 350/3*l**4 + 790/3*l**3 = 0.
1/5, 6/7, 1
Let z(j) be the third derivative of -j**4/3 + 32*j**3/3 + 121*j**2. Let n be z(8). Determine r so that 14/3*r**3 - r - 4/3*r**4 + n - 4/3*r**2 - r**5 = 0.
-3, -1/3, 0, 1
Let b be (-2)/(-16) - (-10185)/56. Suppose 4*r - b - 22 = 0. Factor r*h - 44*h + 3*h**2 + 2*h**2 - 57*h + 125.
5*(h - 5)**2
Let h(l) = l**2 + 1. Let w(z) = 4*z**2 + 53*z + 25. Let b(a) = a**2 + 1. Let v(q) = 2*b(q) - w(q). Let j(k) = 5*h(k) + v(k). Factor j(x).
(x - 18)*(3*x + 1)
Suppose 0 = -67296*v + 67264*v + 63 + 1. Find j such that -3/2*j**v - 9/2 - 6*j = 0.
-3, -1
Let l(g) be the first derivative of -3*g**5 - 155*g**4/4 + 310*g**3/3 + 60*g**2 + 179. Suppose l(u) = 0. Calculate u.
-12, -1/3, 0, 2
Solve 8/3*a**3 + 0 + 19/3*a**2 + 4*a + 1/3*a**4 = 0.
-4, -3, -1, 0
Let b = -25281 + 25286. Find o such that -6*o**4 - 54/11*o**2 + 114/11*o**3 + 6/11*o**b + 0 + 0*o = 0.
0, 1, 9
Let d(n) be the third derivative of 1/9*n**3 + 0*n + 59/540*n**5 - 1/360*n**6 + 0 - 37/216*n**4 + 60*n**2 - 1/210*n**7. Solve d(p) = 0 for p.
-3, 1/3, 2
Let w(g) be the first derivative of 140*g + 5*g**3 - 60*g**2 + 5/4*g**4 + 22. Factor w(u).
5*(u - 2)**2*(u + 7)
Solve 44/3*a - 2/3*a**4 + 80/3 - 44/3*a**3 - 26*a**2 = 0 for a.
-20, -2, -1, 1
Factor -172578*p**2 - 344569/8*p**3 - 2 - 2349/2*p.
-(p + 4)*(587*p + 2)**2/8
Find y, given that 26/3*y**2 + 76*y + 0 - 2/3*y**3 = 0.
-6, 0, 19
Let j = 12317/132 + -373/4. Let s(w) be the third derivative of 27/385*w**7 + 4*w**2 + 3/22*w**6 + 0*w + 0 + 2/55*w**5 + 0*w**3 - j*w**4. Factor s(o).
2*o*(3*o + 2)**2*(9*o - 2)/11
Let k(i) be the second derivative of 14641*i**6/45 - 18634*i**5/3 + 148225*i**4/3 - 1886500*i**3/9 + 1500625*i**2/3 - 55*i - 8. Determine r so that k(r) = 0.
35/11
Let d(z) = z**2 + 35*z + 1. Let t(k) = -3*k**2 - 489*k - 870. Let q(v) = 6*d(v) + t(v). Factor q(c).
3*(c - 96)*(c + 3)
Let v(y) be the third derivative of y**5/270 - 535*y**4/54 - 119*y**3/3 + 204*y**2 + 3*y + 3. Factor v(l).
2*(l - 1071)*(l + 1)/9
Factor 4300*n + 4*n**2 - 8767*n + 4255*n.
4*n*(n - 53)
Let f be 46/161 - 4896/(-14). Let o be (-1)/((-18)/21)*225/f. Suppose -3/4*q - o*q**2 + 0 = 0. Calculate q.
-1, 0
Let k(b) be the second derivative of 8 + 1/3*b**2 + 1/60*b**5 - 1/6*b**3 + b + 0*b**4. Factor k(v).
(v - 1)**2*(v + 2)/3
Let p be (-5)/2*(-108)/90. Suppose p*f + 31 = 37, 4*t - 2*f - 12 = 0. Factor -60/7*d - t*d**3 - 16/7 - 72/7*d**2.
-4*(d + 1)**2*(7*d + 4)/7
Suppose t + 17*n - 13 = 15*n, 4*t - 5*n = 0. Let f(d) be the second derivative of 9/20*d**t + 0*d**3 + 5/8*d**4 + 1/20*d**6 - 17*d + 0 + 0*d**2. Factor f(a).
3*a**2*(a + 1)*(a + 5)/2
Let 6/7*h**4 + 6132*h + 884/7*h**3 + 10658/7 + 33144/7*h**2 = 0. Calculate h.
-73, -1, -1/3
Let m(d) be the second derivative of -d**5/20 + 11*d**4/3 + 97*d**3/2 + 225*d**2 + 133*d. Factor m(o).
-(o - 50)*(o + 3)**2
Let p(r) be the second derivative of 10*r**2 + 5/42*r**7 + 7/6*r**6 + 40/3*r**3 + 19 + 19/4*r**5 + 2*r + 125/12*r**4. Let p(b) = 0. What is b?
-2, -1
Let x be (-4215)/(-25) - 6/(-15) - 1. Let y be -164 + x + 1/(2/(-4)). What is c in 0*c**y + 0 + 2/15*c**5 - 4/15*c**4 + 2/15*c**3 + 0*c = 0?
0, 1
Let m(s) be the first derivative of -38/3*s**3 - 361/2*s**2 - 1/4*s**4 - 31 + 0*s. What is k in m(k) = 0?
-19, 0
Let d(a) = 2*a**2 + 21*a + 29. Let k be d(-9). Find r, given that -600 + 612 - 2*r**k - r**2 + 12*r - 3*r**3 = 0.
-2, -1, 2
Let o(w) be the second derivative of 265/12*w**4 + 61/4*w**5 - 114*w - 2 + 0*w**2 - 65/6*w**3 - 5/6*w**6. Solve o(c) = 0.
-1, 0, 1/5, 13
Let r be 2/(-12)*(-31)/((-930)/(-36)). Let l(c) be the first derivative of r*c**5 - 1/4*c**4 + 2 + 1/2*c**2 - c**3 + 2*c. What is i in l(i) = 0?
-1, 1, 2
Let l = -3418/99 - -21097/396. Let s(w) = w + 6. Let n be s(-3). What is x in l*x**2 + n + 15*x = 0?
-2/5
Let a(m) = -11*m + 604. Let n be a(51). Suppose -n*i = -45*i + 4. Suppose -2/9*c**3 + 8/3 + 16/9*c - 2/9*c**i = 0. What is c?
-2, 3
Let r = 113/5716 - -39673/17148. Factor 1/3*f**3 + 0 - r*f**2 + 2*f.
f*(f - 6)*(f - 1)/3
Let o(f) = -145*f**2 + 100*f. Let p(x) = 35*x**2 - 25*x. Let y be ((-5)/(-3))/(100/(-360)). Let c(b) = y*o(b) - 25*p(b). Solve c(h) = 0.
0, 5
Suppose -2*a + 2*c = -8 - 4, 4*c + 22 = 3*a. Factor -53*z**a - 49*z**2 - 5 - 5*z + 107*z**2 + 5*z**3.
5*(z - 1)*(z + 1)**2
What is c in 0 - 32*c - 232/5*c**2 + 16/5*c**4 + 4/5*c**5 - 12*c**3 = 0?
-5, -2, -1, 0, 4
Let s = -213002 + 213004. Let -4/3*k + 1/6*k**3 + 1/6*k**2 - s = 0. Calculate k.
-2, 3
Let o(a) be the third derivative of 0 + 5*a**2 + 1/30*a**5 + 9*a**3 + 7/3*a**4 + 4*a. Solve o(q) = 0.
-27, -1
Let j = -3411 + 491185/144. Let r(s) be the third derivative of 10/9*s**3 + 1/12*s**5 - 5/12*s**4 + 0*s - j*s**6 - 11*s**2 + 0. Factor r(i).
-5*(i - 2)**3/6
Suppose -168*y**2 - y**4 + 2118*y + 2114*y - 27*y**3 - 4036*y = 0. Calculate y.
-14, 0, 1
Factor 0 - 940/7*n - 1/7*n**3 - 941/7*n**2.
-n*(n + 1)*(n + 940)/7
Let j(u) be the second derivative of 5*u**5/4 + 4205*u**4/12 - 3385*u**3/6 - 845*u**2/2 - 24*u - 100. Factor j(o).
5*(o - 1)*(o + 169)*(5*o + 1)
Let r(b) be the third derivative of -b**7/280 + b**6/8 - 63*b**5/40 + 81*b**4/8 - 65*b**3/2 + 128*b**2. Let i(h) be the first derivative of r(h). Factor i(j).
-3*(j - 9)*(j - 3)**2
Suppose -2/19*q**2 - 128/19 - 40/19*q = 0. Calculate q.
-16, -4
Let t(i) be the first derivative of 13/3*i**3 - 1/1440*i**6 + 1/80*i**5 + 0*i - 13 + 0*i**2 - 3/32*i**4. Let z(d) be the third derivative of t(d). Factor z(h).
-(h - 3)**2/4
Let i(s) = 88*s**3 + 3128*s**2 - 23108*s - 20. Let p(z) = 13*z**3 + 447*z**2 - 3301*z - 3. Let c(w) = 3*i(w) - 20*p(w). Let c(h) = 0. Calculate h.
-118, 0, 7
Let d be (-5)/75*-46 - (36/(-27) - -2). Suppose 18/5*n**3 - d*n + 4/5*n**4 + 14/5*n**2 + 0 = 0. Calculate n.
-3, -2, 0, 1/2
Let a(t) be the second derivative of 3*t**5/20 - 1077*t**4/4 + 386643*t**3/2 - 138804837*t**2/2 + 139*t - 5. Factor a(s).
3*(s - 359)**3
Suppose -6012 = -4*t - 3*p, -2*t + 3024 = -2*p - p. Suppose 2*z**5 - 120*z - 14*z**4 + 9*z**3 - 1434 + 13*z**3 + 38*z**2 + t = 0. What is z?
-2, 1, 2, 3
Suppose 24*f = 33*f - 18. Factor 3*k**3 + 294*k**4 - k**f - 293*k**4 + 3*k**2.
k**2*(k + 1)*(k + 2)
Let p(c) be the second derivative of -c**5/80 + 143*c**4/48 - 35*c**3/2 - 2*c + 359. Factor p(n).
-n*(n - 140)*(n - 3)/4
Suppose -4*s = -18 - 14. Suppose -s*m**5 + 4*m**5 + 215*m**4 - 203*m**4 - 8*m**3 = 0. Calculate m.
0, 1, 2
Factor -92781/2*b**2 + 1306071/2*b + 2197/2*b**3 - 6128487/2.
(13*b - 183)**3/2
Let v = 112 - 109. Factor 55*k**2 + 4*k**3 - 30*k**4 + 10*k**v + 30*k + 6*k**3 + 25*k**4.
-5*k*(k - 6)*(k + 1)**2
Let f = -1117 + 1162. Let h be ((-96)/f)/16*-5. Factor -h*y**2 - 4 - 14/3*y.
-2*(y + 1)*(y + 6)/3
Let y(p) be the first derivative of 1/5*p**4 + 703/5*p**2 + 151/15*p**3 - 57 - 361/5*p. Let y(k) = 0. What is k?
-19, 