 + 2)/15
Let v(w) be the third derivative of 0*w**3 + 16/39*w**4 + 0 - 8/195*w**5 + 1/780*w**6 + 0*w - 57*w**2. Factor v(h).
2*h*(h - 8)**2/13
Solve -10691*a - 1128*a**3 - 2051*a - 70*a**4 + 2*a**5 - 5536*a**2 + 2118*a - 6144 = 0 for a.
-4, -1, 48
Let z(i) be the third derivative of -i**8/84 - 232*i**7/105 - 2459*i**6/15 - 30044*i**5/5 - 201243*i**4/2 - 4*i**2 + i - 3. Factor z(w).
-4*w*(w + 21)**2*(w + 37)**2
Let p(d) be the first derivative of d**5 - 25*d**4/2 - 40*d**3 + 640*d**2 + 2560*d - 4527. Factor p(x).
5*(x - 8)**2*(x + 2)*(x + 4)
Solve 204*o**2 - 25*o + 3*o**3 + 221*o**2 - 35*o - 401*o**2 = 0 for o.
-10, 0, 2
Let w(u) = 9074*u - 20557133. Let r(q) = q**2 + 6*q + 23. Let c(f) = -3*r(f) + 3*w(f). Factor c(n).
-3*(n - 4534)**2
Let z(h) be the second derivative of -3*h**2 - 2*h + 1/2*h**5 + 7/6*h**4 + 41 - 1/3*h**3. Suppose z(f) = 0. Calculate f.
-1, 3/5
Let f(c) be the third derivative of 0*c**6 + 0*c**3 - 1/60*c**5 + 0*c + 0*c**4 - 90*c**2 + 0 + 1/840*c**7. Factor f(p).
p**2*(p - 2)*(p + 2)/4
Let i be ((-306)/76 + (-34)/(-17) + 2)*-4. Solve -i*y**4 - 8/19*y + 8/19*y**3 - 4/19*y**2 + 6/19 = 0.
-1, 1, 3
Determine j, given that -4305 + 45*j**3 + 2111 + 2194 + 50*j**2 + 12*j**4 + j**5 = 0.
-5, -2, 0
Suppose 4*x - 27 = 3*c, 8 = 5*x + 2*c + 3. Factor -20*m**5 - 22*m**5 + 4*m**4 + 43*m**5 + x*m**3.
m**3*(m + 1)*(m + 3)
Let m = 9 - 4. Let b = 7900 + -7893. Find g, given that -4*g**2 + m*g - 2*g + 12 - 4*g - b*g = 0.
-3, 1
Solve -6/7 + 26/7*s**2 - 12/7*s**3 + 32/7*s = 0 for s.
-1, 1/6, 3
Let f(k) be the third derivative of -k**7/70 - 42*k**6/5 - 13943*k**5/10 + 7098*k**4 - 28561*k**3/2 - 2056*k**2. Factor f(v).
-3*(v - 1)**2*(v + 169)**2
Let l = -30641/3 + 10214. Let h(r) be the second derivative of -l*r**2 + 1/90*r**4 - 4/45*r**3 + 0 - 20*r. Find q such that h(q) = 0.
-1, 5
Let n = -1/99651 + 10463357/199302. Factor 3/2*b**3 - n*b - 24*b**2 - 27.
3*(b - 18)*(b + 1)**2/2
Let y(s) be the third derivative of 91*s**2 + 2/15*s**5 + 0 + 0*s + 3*s**3 - 19/8*s**4 + 1/40*s**6. Find u such that y(u) = 0.
-6, 1/3, 3
Let r(i) be the first derivative of -i**3/3 - 1007*i**2 - 1014049*i - 3888. Find l, given that r(l) = 0.
-1007
Let b = 461/12 - 395/12. Determine w so that b*w + 1/2*w**2 - 6 = 0.
-12, 1
Let s(h) = -15*h**4 - 36*h**3 - 32*h**2 + 22*h + 11. Let r(q) = 4*q**4 + 9*q**3 + 8*q**2 - 6*q - 3. Let f(n) = 22*r(n) + 6*s(n). Factor f(z).
-2*z**2*(z + 1)*(z + 8)
Let c(z) = -z**3 - 6*z**2 - 9*z + 2. Let o be c(-4). Suppose -5*l = o - 16. Determine g so that 44*g**3 - 4*g**2 - 5 + 4*g**l + 5*g**2 + 5*g - 49*g**3 = 0.
-1, 1
Let t be 3*-1 - 36050/(-11330). Factor -t*r**2 + 16/11*r - 14/11.
-2*(r - 7)*(r - 1)/11
Let i(a) be the first derivative of 6*a**2 + 40/3*a**3 + 12*a**4 + 2/3*a**6 + 0*a + 24/5*a**5 + 53. Let i(w) = 0. Calculate w.
-3, -1, 0
Let y = -417302 + 4581315/11. Let g = 819 + y. Determine m so that -32/11 + 14/11*m**2 - g*m**3 - 16/11*m = 0.
-1, 4
Let d be ((-7)/12 - -2)/(42/308). Let t = d - 26/9. Suppose -3*h**3 - 15/2*h**4 + t*h**2 + 3*h + 0 = 0. What is h?
-1, -2/5, 0, 1
Suppose 17 = 82*q - 81*q. Solve -20*g**2 + 5 + q*g**2 - 2*g**2 = 0 for g.
-1, 1
Suppose -242*g**2 + 84*g**2 - 2*g**4 + 1666475*g + 146*g**3 - 618 - 1667221*g + 174 + 4*g**4 = 0. What is g?
-74, -1, 3
Suppose 0 = -5*l - j - 68, -l + 5*j + 2 = -0*l. Let i(z) = -z**3 - 18*z**2 - 64*z + 13. Let r be i(l). Factor r - g - 1/3*g**2.
-g*(g + 3)/3
Find m, given that -23*m - 85 + 371*m + 15*m**4 + 181*m + 545*m**2 - 9*m - 155 + 160*m**3 = 0.
-4, -3, 1/3
Suppose 5*j = 3*p - 280, j = 6*j + 25. Let m be ((p/(-8))/(-17))/(15/6). Solve -5/4*o + m*o**2 + 3/2 = 0 for o.
2, 3
Let l(v) be the second derivative of v**4/24 - 29*v**3/2 + 86*v**2 - 341*v - 2. Let l(j) = 0. Calculate j.
2, 172
Let t(v) be the third derivative of -v**6/280 + 5*v**5/14 + 275*v**4/56 + 60*v**2 + 30*v. Solve t(r) = 0 for r.
-5, 0, 55
Let a(n) be the second derivative of n**4/24 + 134*n**3/3 + 1599*n**2/4 + 3642*n. Solve a(t) = 0 for t.
-533, -3
Let j = -226570/3 - -75526. Factor 0 + 4/3*g**5 + 12*g - j*g**3 - 16*g**2 + 16/3*g**4.
4*g*(g - 1)**2*(g + 3)**2/3
Let g(f) be the third derivative of 0*f + 0*f**3 + 58*f**2 - 5/6*f**4 + 2 - 1/12*f**5. Factor g(o).
-5*o*(o + 4)
Let j = 1/1766 - -1763/5298. Factor 16/3 + 4*p + 0*p**2 - j*p**3.
-(p - 4)*(p + 2)**2/3
Let v(j) be the first derivative of j**5/120 + j**4/8 - 105*j + 28. Let n(s) be the first derivative of v(s). Factor n(i).
i**2*(i + 9)/6
Let c = 9931 - 5366. Find w, given that c - w**3 - 4565 + w = 0.
-1, 0, 1
Let g be (-35)/1260*(2/(-1) - 13). Let b(m) be the third derivative of g*m**5 + 0 + 0*m**3 + 0*m**4 + 0*m + 11*m**2 - 1/24*m**6. Factor b(d).
-5*d**2*(d - 5)
Let 14*x**2 - 96*x - 1/3*x**3 - 1152 = 0. What is x?
-6, 24
Let k(a) be the first derivative of -48/35*a**5 - 1/2*a**6 - 48/7*a - 78/7*a**2 + 177/28*a**4 + 32/7*a**3 + 6. Solve k(q) = 0.
-4, -1, -2/7, 1, 2
Let k(b) = 6*b**2 + 16*b + 11. Let y(w) = -5*w**2 - 15*w - 12. Let o(x) = 4*k(x) + 5*y(x). Let l be o(-9). What is c in -4*c + 40*c**2 - 36*c**l - 4*c = 0?
0, 2
Let g(l) be the second derivative of l**5/190 + 25*l**4/114 + 127*l**3/57 - 153*l**2/19 + 2*l - 697. Factor g(k).
2*(k - 1)*(k + 9)*(k + 17)/19
Let p(f) be the third derivative of f**5/12 - 35*f**4/6 - 320*f**3/3 + 128*f**2. Factor p(t).
5*(t - 32)*(t + 4)
Let g(b) = -b**2 + 28*b - 98. Let s be g(24). Let n be s - 6*5/(-15). Factor 1/4*v**4 + n + v**3 + 5/4*v**2 + 1/2*v.
v*(v + 1)**2*(v + 2)/4
Let l be (-5)/1 + (5538/(-71) - -88). Factor -1/3*v**4 + 2*v**3 - 1/3*v**l + 1 - 2/3*v**2 - 5/3*v.
-(v - 1)**3*(v + 1)*(v + 3)/3
Let w(z) be the second derivative of -147/4*z**2 + 7/4*z**3 + 8*z - 1/32*z**4 + 2. Factor w(h).
-3*(h - 14)**2/8
Let u = 140 + -137. Determine v so that -u*v - v - v**2 - 174 - 174 + 345 = 0.
-3, -1
Suppose -3*c - b = b - 441, 0 = 2*c - 3*b - 294. Let f be ((-50)/(-15) + -3)*c. Factor f*q**3 + 0*q**4 - 43*q**3 - 3*q**4.
-3*q**3*(q - 2)
Let g(u) be the second derivative of -u**5/20 + 7*u**4 - 83*u**3/6 - 3104*u. Suppose g(z) = 0. Calculate z.
0, 1, 83
Let i be (-20 - 3330/(-162))*8/(-20)*-24. Factor 0 - i*t + 2/3*t**2.
2*t*(t - 8)/3
Let d(o) be the second derivative of o**4/5 - 166*o**3/15 - 4*o - 488. Factor d(k).
4*k*(3*k - 83)/5
Suppose 175*n + 338*n - 1474 = -224*n. Suppose 68/3*g + 2/3*g**n + 578/3 = 0. What is g?
-17
Let 2 - 1/4*g**3 - 17/4*g + 5/2*g**2 = 0. Calculate g.
1, 8
Suppose -4*f = -3*f - 79. Let y(j) = -8*j + 243. Let l be y(26). Find m such that 4 - l*m**4 - 40*m**4 + f*m**2 - 16 + 8*m**2 = 0.
-1, -2/5, 2/5, 1
Let s(q) be the first derivative of q**4/14 - 76*q**3/21 - 41*q**2/7 + 156*q/7 + 7045. Find i, given that s(i) = 0.
-2, 1, 39
Let r be ((-184)/644)/((4/14)/(-2)). Let 2/7*i**4 - 10/7*i**3 + 6/7*i**r + 2/7*i**5 + 0*i + 0 = 0. What is i?
-3, 0, 1
Let v(s) be the third derivative of -3*s - 1/40*s**6 - 12*s**2 - 1/12*s**4 - 2/105*s**7 + 0*s**3 + 0 + 3/20*s**5. Factor v(d).
-d*(d - 1)*(d + 2)*(4*d - 1)
Suppose 21 = -45*f + 52*f. Suppose -44 + f*n**4 - 117*n - 3*n**3 - 10 + 407*n**2 - 476*n**2 = 0. Calculate n.
-3, -1, 6
Let l(i) be the second derivative of 9/4*i**2 + 13/8*i**3 + 0 + 28*i + 21/80*i**5 - 13/8*i**4. What is f in l(f) = 0?
-2/7, 1, 3
Let n = -2099 - -684273/326. Let s = 3263/978 + n. Suppose -s*d - 1/3*d**2 - 25/3 = 0. Calculate d.
-5
Let b(h) be the second derivative of -h**5/30 - 23*h**4/18 + 26*h**3/9 + 16*h**2 - 250*h. Factor b(l).
-2*(l - 2)*(l + 1)*(l + 24)/3
Let q(r) be the first derivative of 4*r**3 + 180*r**2 + 2718*r + 6. Let c = 854 - 845. Let f(v) = 3*v**2 + 90*v + 679. Let x(p) = c*f(p) - 2*q(p). Factor x(h).
3*(h + 15)**2
Let d = -3/4688851 - -449004371799/60955063. Let y = 7370 - d. Factor 20/13*b - y - 2/13*b**2.
-2*(b - 5)**2/13
Let m be (-5)/(100/(-3817)) - 0. Let f = m + -953/5. Solve -f*p + 1/2 - 1/4*p**2 = 0.
-2, 1
Let a(m) be the third derivative of 0*m**3 + 0*m + 1/40*m**6 - 1/3*m**4 - 210*m**2 - 1/210*m**7 + 0 + 1/10*m**5. Factor a(l).
-l*(l - 4)*(l - 1)*(l + 2)
Let n be (-30)/20 - (-13)/(-2). Let y be 0 + (2 - n/(-6))*3. Factor 2*s**2 + 18*s - 100 + 29*s - 7*s - 6*s**y.
-4*(s - 5)**2
Let j(m) be the second derivative of -m**5/100 + 7*m**4/20 - 3*m**3 + 400*m + 1. Let j(c) = 0. Calculate c.
0, 6, 15
Let w(u) = 17*u + 498. Let m be w(-29). Let c(g) be the third derivative 