 first derivative of -m**5/570 + 11*m**4/228 - 10*m**3/57 + 23*m**2/2 + m + 36. Let z(u) be the second derivative of n(u). Factor z(i).
-2*(i - 10)*(i - 1)/19
Let x = 7099/4 + -1794. Let g = x - -20. Factor 0 + 3/2*t - 9/4*t**2 + g*t**3.
3*t*(t - 2)*(t - 1)/4
Factor -53 + 6*w**2 - 48 + 62 - 9*w**2 + 118*w.
-(w - 39)*(3*w - 1)
Let k(q) be the first derivative of q**4/2 - 14*q**3/3 - 10*q**2 + 32*q - 279. Solve k(g) = 0 for g.
-2, 1, 8
Let g be ((-5)/(-2) - (-232)/87) + (-1)/(-6). Factor 2*h**3 + 26/9*h + 4/9 + g*h**2.
2*(h + 2)*(3*h + 1)**2/9
Let y be (-2)/11 - (((-706)/(-110) - 7) + 0). Suppose 0 + y*h**4 + 0*h**2 + 9/5*h**3 - 4/5*h - 3/5*h**5 = 0. What is h?
-1, 0, 2/3, 2
Let b be (-3 + 1 - 1) + 1*-2. Let g(r) = 11*r**2 - 35*r - 5. Let y(w) = 5*w**2 - 17*w - 2. Let n(v) = b*y(v) + 2*g(v). Find d, given that n(d) = 0.
0, 5
Factor 128/3*a + 1/3*a**2 + 4096/3.
(a + 64)**2/3
Let s(w) be the second derivative of -w**7/21 - 22*w**6/15 - 54*w**5/5 - 101*w**4/3 - 163*w**3/3 - 48*w**2 - 4*w - 15. Factor s(j).
-2*(j + 1)**3*(j + 3)*(j + 16)
Determine p so that 9*p**2 - 27*p**2 - 4*p - 70 + 11*p**2 + 9*p**2 = 0.
-5, 7
Factor -159*v - 121*v - 5*v**4 - 25*v**3 - 45*v**2 + 245*v - 10.
-5*(v + 1)**3*(v + 2)
Suppose -10*n + 12 = -4*n. Suppose -n = 4*t - 5*t + g, g - 2 = -t. Determine x, given that -x**3 - 1/3*x**5 - 1/3*x**t - x**4 + 0*x + 0 = 0.
-1, 0
Let t be -4*(-3)/12*3. Factor 3*p - 4*p**3 - 2*p**5 - t*p - 30*p**4 + 24*p**4.
-2*p**3*(p + 1)*(p + 2)
Let q = 326 - 1628/5. Factor 0*c - 6*c**3 - q*c**5 + 18/5*c**2 + 14/5*c**4 + 0.
-2*c**2*(c - 3)**2*(c - 1)/5
Let b(u) be the third derivative of 0 + 1/18*u**4 + 0*u + u**2 + 0*u**3 + 4/315*u**7 - 2/45*u**5 - 1/252*u**8 + 0*u**6. What is s in b(s) = 0?
-1, 0, 1
Let r be 8/(-4)*3 + 4368/637. Factor 2/7*p**2 + r + 8/7*p.
2*(p + 1)*(p + 3)/7
Let t(m) = -m + 1. Let k be t(-3). Let -15*p + 5*p**2 + 15*p**3 - 10 + 16*p**4 - p**k - 9*p**4 - p**4 = 0. What is p?
-2, -1, 1
Let g(v) be the third derivative of v**4 - 4*v**2 + 4/3*v**3 + 0*v - 37/60*v**6 - 5/24*v**8 - 5/6*v**5 + 27/35*v**7 + 0. Determine x, given that g(x) = 0.
-2/5, -2/7, 1
Let x(t) be the first derivative of 3 + 0*t - t**3 + 9/2*t**2. Factor x(d).
-3*d*(d - 3)
Let n be 5 - (90/30)/(1/3*3). Determine b so that b**n + 1/3*b**3 + b + 1/3 = 0.
-1
Let l(m) be the third derivative of -m**6/840 + m**5/420 - m**2 - 400. Factor l(q).
-q**2*(q - 1)/7
Let n(j) be the third derivative of j**6/180 + j**5/15 + 11*j**3/6 + 4*j**2. Let x(q) be the first derivative of n(q). Factor x(u).
2*u*(u + 4)
Let k(f) = 7*f**3 - 65*f**2 + 152*f + 2. Let s(m) = -m**3 - m - 1. Let t(i) = k(i) + 2*s(i). Solve t(p) = 0 for p.
0, 3, 10
Let i be 384/156 - (-42)/(-91). Factor 2/9*o**i + 8/3*o + 22/9.
2*(o + 1)*(o + 11)/9
Let h be (60/(-450)*(-1 + 6))/(-3 - 2). Factor 0*u + 4/15*u**2 + h*u**3 + 0 - 2/15*u**4.
-2*u**2*(u - 2)*(u + 1)/15
Factor 24*y**2 - 26*y**2 - 4*y - 6*y + 2*y + 14 - 4*y.
-2*(y - 1)*(y + 7)
Let l(i) = -i**2 + 3*i + 22. Let f be l(6). Let b be (77/14 - f)*2. Find g such that 2/15*g**5 + 0*g**4 + 4/15 - 8/15*g**b - 4/15*g**2 + 2/5*g = 0.
-1, 1, 2
Let r = 180 + -180. Let b(s) be the second derivative of 0 + 1/30*s**4 - 4/105*s**7 + 3/50*s**5 - 5*s + 0*s**6 + 0*s**2 + r*s**3. Determine y so that b(y) = 0.
-1/2, 0, 1
Let q(m) be the first derivative of -10/7*m**3 + 0*m - 6 - 2/7*m**2. Suppose q(l) = 0. What is l?
-2/15, 0
Suppose 4*l = -g - 37, 0 = -l - 0*l - 2*g - 4. Let f be (l/18)/((-50)/60). Factor -1/3*a**3 + 0 - a**2 - f*a.
-a*(a + 1)*(a + 2)/3
Let n = 1835/43464 + -1/1811. Let u(b) be the second derivative of 0*b**2 + n*b**4 - 2*b + 0 - 1/60*b**6 - 1/12*b**3 + 1/40*b**5. Factor u(k).
-k*(k - 1)**2*(k + 1)/2
Let p(l) be the second derivative of -3*l**5/140 + 5*l**4/28 - l**3/7 - 12*l**2/7 + 109*l. What is s in p(s) = 0?
-1, 2, 4
Suppose -15 = -2*q - 3*q. Suppose 11 = 4*a + q. Factor 6*i**2 - 5*i**3 + 0*i**a + 3 + 5 + i**3 - 2*i**4 + 16*i.
-2*(i - 2)*(i + 1)**2*(i + 2)
Let g(v) be the third derivative of -v**9/13608 + v**8/7560 + v**7/1890 + v**3/6 - 7*v**2. Let u(h) be the first derivative of g(h). Factor u(q).
-2*q**3*(q - 2)*(q + 1)/9
Let s be -2 - (-176)/14 - 4/7. Let c(g) be the second derivative of -3/50*g**5 + 1/5*g**3 + 0 + s*g - 1/75*g**6 + 2/5*g**2 - 1/30*g**4. Solve c(r) = 0.
-2, -1, 1
Factor -1476*d**3 + 742*d**3 + d + 0 + 733*d**3 - 2 + 2*d**2.
-(d - 2)*(d - 1)*(d + 1)
Factor 115*l + 781*l**2 - 123*l - 782*l**2.
-l*(l + 8)
Determine q so that -5*q + 10*q + 19*q + 3*q**2 - 27 = 0.
-9, 1
Let y be (1/((-7)/2))/((-7050)/630 - -11). Let j = -4 + 6. Determine c so that 0*c**j - 3/2*c**4 + 3*c - 3*c**3 + y = 0.
-1, 1
Let o(q) be the first derivative of 2*q**3/21 + 6*q**2/7 + 16*q/7 - 43. What is c in o(c) = 0?
-4, -2
Factor -1/6*w**2 + 13/6*w + 5.
-(w - 15)*(w + 2)/6
Factor -2/7*h + 6/7*h**2 - 4/7.
2*(h - 1)*(3*h + 2)/7
Find z, given that -741 + 0*z**2 + 4*z**2 + 6*z**4 - z**5 + 741 - 9*z**3 = 0.
0, 1, 4
Let a = 2 + 12. Factor -48*w + 18 + a*w**4 + 4*w**3 + 86*w**2 - 10 - 64*w**3.
2*(w - 2)*(w - 1)**2*(7*w - 2)
Let o(h) be the third derivative of -h**6/1200 + 7*h**5/150 - 221*h**4/240 + 169*h**3/30 + h**2 + 12. Factor o(x).
-(x - 13)**2*(x - 2)/10
Let m(r) = -r**2 - r + 2. Suppose 4*y = 13 + 3. Let l be 4 + -4 - (3 + -6). Let c(k) = k**2 + k - 2. Let s(z) = l*c(z) + y*m(z). Solve s(o) = 0 for o.
-2, 1
Let g(o) be the first derivative of -o**6/8 + 33*o**5/10 - 423*o**4/16 + 55*o**3 - 75*o**2/2 + 151. Factor g(w).
-3*w*(w - 10)**2*(w - 1)**2/4
Find t, given that 335 + 4*t**4 + 279*t**2 + 51*t**3 + 29 - 70 + 525*t - t**4 = 0.
-7, -2, -1
Suppose -3*q = -2*q - 3*l - 9, 0 = 5*q + 3*l - 9. Suppose 4*o - 3*o**2 - o + q*o**3 - 3*o**2 = 0. Calculate o.
0, 1
Let n = 51 + -49. Factor 119*r - 125*r + 4*r**2 + 3*r**3 - r**n.
3*r*(r - 1)*(r + 2)
Let k(w) be the third derivative of 0*w + 5/24*w**3 - 5*w**2 - 5/96*w**4 + 0 - 5/1344*w**8 + 1/168*w**7 - 1/24*w**5 + 1/48*w**6. Factor k(y).
-5*(y - 1)**3*(y + 1)**2/4
Let i(k) = -15*k**4 + 294*k**3 - 897*k**2 + 558*k. Let z(m) = 6*m**4 - 117*m**3 + 359*m**2 - 223*m. Let u(x) = -5*i(x) - 12*z(x). Find y such that u(y) = 0.
0, 1, 2, 19
Let x(b) be the second derivative of b**6/360 + b**5/240 - 7*b**4/144 - 13*b**3/72 - b**2/4 + 40*b. What is f in x(f) = 0?
-2, -1, 3
Let b(v) be the third derivative of v**7/70 + 13*v**6/20 + 141*v**5/20 - 91*v**4/2 + 98*v**3 + 11*v**2. Let b(j) = 0. Calculate j.
-14, 1
Find n, given that 3*n**4 + 3*n - 4*n**3 - 1497*n**2 + 1495*n**2 + n - n**4 = 0.
-1, 0, 1, 2
Let z(y) be the third derivative of -y**8/168 + 2*y**7/21 - 4*y**6/15 - y**5/15 + 17*y**4/12 - 8*y**3/3 + 68*y**2. Factor z(j).
-2*(j - 8)*(j - 1)**3*(j + 1)
Factor -1/4*z**2 - 24 - 7*z.
-(z + 4)*(z + 24)/4
Let z(d) be the first derivative of -d**9/3024 + d**8/560 - d**7/420 + 10*d**3/3 + 11. Let f(m) be the third derivative of z(m). Factor f(g).
-g**3*(g - 2)*(g - 1)
Let r(a) = 14*a**3 - 8*a**2 - 28*a - 6. Let m(j) = -17*j**3 + 7*j**2 + 29*j + 5. Let b(f) = 5*m(f) + 6*r(f). Factor b(d).
-(d + 1)**2*(d + 11)
Let i(w) be the third derivative of w**5/15 + 7*w**4/6 + 4*w**3 - w**2 + 104*w. Determine j so that i(j) = 0.
-6, -1
Find z such that 54 + 12*z - 148*z**2 - 149*z**2 - 148*z**2 + 443*z**2 = 0.
-3, 9
Let r(w) be the first derivative of 1/3*w**6 + 0*w**2 + 0*w + 13 + 0*w**5 + 4/3*w**3 - 3/2*w**4. Solve r(x) = 0.
-2, 0, 1
Let c(g) = -g**5 + g**4 + g**3 - g + 1. Let n(l) = 3*l**5 + 12*l**4 - 38*l**3 - 80*l**2 + 78*l + 162. Let i(u) = -2*c(u) + n(u). Factor i(o).
5*(o - 2)**2*(o + 2)**3
Let u(s) = -3*s**4 - 66*s**3 + 420*s**2 - 234*s - 723. Let h(d) = 5*d**4 + 65*d**3 - 419*d**2 + 235*d + 722. Let j(a) = 3*h(a) + 4*u(a). Factor j(y).
3*(y - 11)**2*(y - 2)*(y + 1)
Let p(b) be the second derivative of -b**6/195 + 4*b**5/65 - 7*b**4/39 - 8*b**3/39 + 15*b**2/13 + 26*b. Determine w so that p(w) = 0.
-1, 1, 3, 5
Let o(d) = d + 6. Let h be o(-4). Solve 14*t + 8 + 8*t**3 - 40*t**2 + 12*t - 3*t**h + t**3 = 0.
-2/9, 1, 4
Let w be -3 + (2 - 1) - 180/(-75). Let x = 264 - 1314/5. Factor x*p**2 + w*p**3 + 4/5*p + 0.
2*p*(p + 1)*(p + 2)/5
Factor -14/3 - 13/3*a + 1/3*a**2.
(a - 14)*(a + 1)/3
Let v be 1*((-20)/(-15) + (-4)/(-6)). Factor -v*c**2 - 297*c - 25 + 267*c - 3*c**2.
-5*(c + 1)*(c + 5)
Let w be 4 + (1 + -6)/5. Determine d so that 7*d**3 - 9*d + 4*d**2 - 3