 be (-192)/(-32) - (-1)/(5/b). Let 8/5 + 6/5*c**2 - 4*c + f*c**3 = 0. What is c?
-2, 2/3
Factor -936/5*n**2 + 2/5*n**4 - 464/5*n**3 + 0 + 0*n.
2*n**2*(n - 234)*(n + 2)/5
Let b be (4/22*-2)/((-1490)/3278). Suppose -i - 3 = 2, 3*q + 3*i + 9 = 0. Determine o so that b*o**q + 8/5 - 12/5*o = 0.
1, 2
Let i(y) = y**4 + y**3 + 9. Let q(w) = 5*w**4 - 49*w**3 + 48*w**2 + 18. Let k(l) = -2*i(l) + q(l). Find m, given that k(m) = 0.
0, 1, 16
Let n(j) be the first derivative of -j**4/18 + 68*j**3/27 + 149*j**2/9 + 76*j/3 + 7167. What is f in n(f) = 0?
-3, -1, 38
Let q(o) be the second derivative of o**7/126 - 44*o**6/45 + 106*o**5/15 - 377*o**4/18 + 583*o**3/18 - 83*o**2/3 + 3336*o + 1. Find a such that q(a) = 0.
1, 2, 83
Let f(y) be the second derivative of y**7/1260 - y**6/540 - y**5/36 - y**4/12 + 133*y**3/6 - y + 130. Let q(r) be the second derivative of f(r). Factor q(j).
2*(j - 3)*(j + 1)**2/3
Let z be 49/7 - -1 - 6. Let l(m) be the second derivative of -21*m - 49/9*m**z - 5/18*m**4 + 0 - 1/90*m**5 - 7/3*m**3. Factor l(v).
-2*(v + 1)*(v + 7)**2/9
Let s = 169102 - 169102. Let 0 - 1/9*k**2 + 0*k**3 + 1/9*k**4 + s*k = 0. What is k?
-1, 0, 1
Let p be 75/10*(-18)/351*-13. Let g(f) be the second derivative of 2/3*f**4 - 4*f - 2/15*f**6 + 0 + 16*f**2 - 3/5*f**p + 8*f**3. Factor g(s).
-4*(s - 2)*(s + 1)*(s + 2)**2
Let n = -913480/16653 - 8/2379. Let t = n + 1180/21. Factor 2*c - t*c**2 + 0 - 2/3*c**3.
-2*c*(c - 1)*(c + 3)/3
Let r(b) be the first derivative of -49/10*b**2 + 13/5*b**3 - 11/20*b**4 + 4*b + 1/25*b**5 + 231. Factor r(s).
(s - 5)*(s - 4)*(s - 1)**2/5
What is r in -2 + 1/2*r**3 + 2*r**2 - 1/2*r = 0?
-4, -1, 1
Find y, given that 8584 - 508*y - 9394 + 8*y**2 + 2*y**2 + 4556*y = 0.
-405, 1/5
Let w(h) be the third derivative of 1/100*h**5 - 11/40*h**4 + 0 + 59*h**2 + 0*h + 9/5*h**3. Factor w(x).
3*(x - 9)*(x - 2)/5
Let q(o) be the second derivative of 2*o**2 + 8/3*o**3 + 5/12*o**4 + 197*o + 0 - 7/20*o**5. Factor q(d).
-(d - 2)*(d + 1)*(7*d + 2)
Suppose 5*p = 3*b + 710, -b - 806 + 231 = -4*p. Solve 5*g**3 + 17*g - 14*g - 5*g**5 + 25*g**4 + 57*g + 180 - p*g**2 = 0 for g.
-2, -1, 2, 3
Let j(n) be the second derivative of -n**6/24 - 81*n**5/8 - 43685*n**4/48 - 36720*n**3 - 739840*n**2 - 4*n + 408. Factor j(w).
-5*(w + 17)**2*(w + 64)**2/4
Suppose 2*b + 2*w - 8053 = -151, 2*b - 5*w - 7867 = 0. Suppose -k + 3949 = b. Factor 10/3*x**2 + 0 + 2*x**k + 4/3*x - 2/3*x**5 - 2/3*x**4.
-2*x*(x - 2)*(x + 1)**3/3
Factor 998609 + 3955765 + 211011 + 2*y**2 - y**2 - 504104 + 4318*y.
(y + 2159)**2
Let l be (-98)/(-6) + 3/(-9). Let l*x + 36*x**2 - 5*x**4 + 24*x**3 + x**4 + 8*x**4 = 0. What is x?
-4, -1, 0
Let o = 58529/7 - 8361. Factor -36/7*m - o*m**2 - 162/7.
-2*(m + 9)**2/7
Suppose -160 = -12*t - 4780. Let i be (-7)/(t/99) + 0. Factor -1/5*j**5 + 16/5 - 32/5*j**3 - 48/5*j + 56/5*j**2 + i*j**4.
-(j - 2)**4*(j - 1)/5
Let k(j) be the third derivative of -j**5/120 - 15*j**4/16 - 11*j**3/3 - 8*j**2 - 16. Solve k(a) = 0.
-44, -1
Let y be (-30)/55 + 36/66. Suppose -4*j + 5*w = 25, 2*w + y = -j + 10. Factor j*q**3 + 0 - 1/7*q**4 + 4/7*q**2 + 0*q.
-q**2*(q - 2)*(q + 2)/7
Let z = 590/3 - 38344/195. Let m(k) be the first derivative of 343/13*k**2 + 98/13*k**3 + 0*k + 17 + z*k**5 + 21/26*k**4. Factor m(a).
2*a*(a + 7)**3/13
Let y(r) be the third derivative of -7/18*r**3 + 1/180*r**6 + 7/72*r**5 + 19 + 0*r - 3*r**2 + 47/144*r**4. Determine f so that y(f) = 0.
-7, -2, 1/4
Let r be (89/(23674/76))/((-3)/7)*(-3 + 2). Factor 8*b + r*b**2 + 18.
2*(b + 3)*(b + 9)/3
Let c(f) = 2*f + f**3 + 3*f**4 - 13*f**2 + 0*f**4 + 2*f**4 - 7*f**4. Let m(n) = -n**4 - 12*n**2 + 2*n. Let s = -8 + 2. Let v(a) = s*m(a) + 5*c(a). Factor v(i).
-i*(i - 2)*(i + 1)*(4*i - 1)
Let a be ((-10)/(-66))/((-21415)/(-188452)). Solve -36 + a*w**4 - 104*w**2 + 320/3*w + 32*w**3 = 0 for w.
-27, 1
Let n(w) be the first derivative of -w**4/5 + 404*w**3/15 + 434*w**2 + 2220*w + 3554. Factor n(x).
-4*(x - 111)*(x + 5)**2/5
Let f = -9030 + 9034. Solve 4/17*c + 0*c**2 + 2/17*c**f - 2/17 - 4/17*c**3 = 0 for c.
-1, 1
Let g(y) = y**2 + 1. Let b(v) = 8*v - 40. Let w be b(6). Let u(i) = 7 - 2*i - i + i + w*i**2 + 4*i. Let t(l) = 21*g(l) - 3*u(l). Solve t(a) = 0.
-2, 0
Let m(i) be the second derivative of -i**6/15 + 11*i**5/5 - 121*i**4/6 + 11*i + 11. Factor m(y).
-2*y**2*(y - 11)**2
Let a(d) be the second derivative of d**6/105 - d**5/2 + 379*d**4/42 - 415*d**3/7 + 900*d**2/7 - 439*d. Solve a(f) = 0.
1, 4, 15
Let k(q) be the first derivative of -3*q**4/32 - 155*q**3/24 - 63*q**2/4 - 25*q/2 + 885. Let k(i) = 0. What is i?
-50, -1, -2/3
Let j(t) = -t**2 + 2*t + 4. Let i be j(0). Determine o so that -2*o**4 - 6 + 38 - 24*o**2 + 17*o**4 - 11*o**4 - 16*o + i*o**3 = 0.
-2, 1, 2
Let j = 18911/495 - 420/11. Let n(l) be the third derivative of -1/216*l**6 + 0 - 1/24*l**4 + 1/27*l**3 + 9*l**2 + j*l**5 + 0*l. What is a in n(a) = 0?
2/5, 1
Let a(b) be the third derivative of b**6/40 - 11*b**5/20 - 3*b**4 + 72*b**3 + 17*b**2 - 3*b. Solve a(h) = 0.
-4, 3, 12
Let y be 27/(-36)*(7 - 1) - 16/(-2). Solve 0 - 1/2*h**5 + 0*h + 1/2*h**3 - y*h**2 + 7/2*h**4 = 0.
-1, 0, 1, 7
Let k be ((-2)/(-14))/(-21 + 20) + 21/(-4410)*-170. Find o such that -4 + 38/9*o**2 - 2/9*o**4 + k*o - 2/3*o**3 = 0.
-6, -1, 1, 3
Let q(r) be the first derivative of -4*r**5/55 - 3*r**4/2 - 108*r**3/11 - 108*r**2/11 + 136*r - 23. Let p(n) be the first derivative of q(n). Factor p(a).
-2*(a + 6)**2*(8*a + 3)/11
Let o(k) = 3*k**2 - 12. Let h be o(3). Suppose -q + h = 3. Factor -8*v + 2*v**2 + q - 4*v**2 - v**2 - v**2.
-4*(v - 1)*(v + 3)
Let g(y) be the first derivative of 2/5*y**4 + 1/5*y**3 - 3/5*y**5 + 175 + 2/15*y**6 + 0*y**2 + 0*y. Let g(o) = 0. What is o?
-1/4, 0, 1, 3
Let 522/5*h**3 + 0 + 744/5*h - 3/5*h**5 - 15*h**4 - 1092/5*h**2 = 0. Calculate h.
-31, 0, 2
Let p = 5824 - 5819. Let a(b) be the first derivative of 1/18*b**6 + 2/3*b**2 - 5/12*b**4 + 0*b**3 - 26 + 0*b**p + 0*b. What is t in a(t) = 0?
-2, -1, 0, 1, 2
Let d(w) be the second derivative of 37*w**4/18 + 32*w**3/9 + 324*w - 12. Factor d(v).
2*v*(37*v + 32)/3
Factor -118/17*o - 2/17*o**2 + 0.
-2*o*(o + 59)/17
Let u(r) be the first derivative of r**3/18 - 226*r**2/3 - 905*r/6 + 2222. Find g, given that u(g) = 0.
-1, 905
Let c(m) be the third derivative of -m**5/80 - 499*m**4/32 - 282*m**2. Factor c(b).
-3*b*(b + 499)/4
Let t be ((-10)/6 - (-8272)/4950)*15/6. Let m(y) be the second derivative of -t*y**6 - 41*y + 5/18*y**3 + 1/3*y**2 - 1/60*y**5 + 1/12*y**4 + 0. Factor m(q).
-(q - 2)*(q + 1)**3/3
Suppose -b**3 + 2*b**3 + 99*b**2 + 114*b**2 + b**3 - 324*b = 0. Calculate b.
-108, 0, 3/2
Let w(q) be the third derivative of 0*q**3 - 80*q**2 + 0 + 1/140*q**5 + 0*q + 1/840*q**6 + 1/84*q**4. Factor w(n).
n*(n + 1)*(n + 2)/7
Let n(i) be the second derivative of i**6/60 - 157*i**5/80 + 65*i**4 - 507*i**3/8 + i - 892. Let n(p) = 0. Calculate p.
0, 1/2, 39
Let k(b) be the third derivative of -11*b**7/14 + 1689*b**6/280 - 351*b**5/35 - 11*b**4/14 + 72*b**3/7 - 126*b**2 - 16*b. Find s, given that k(s) = 0.
-2/7, 2/5, 1, 36/11
What is l in -30*l**2 + 2/5*l**3 + 144/5*l + 296/5 = 0?
-1, 2, 74
Let y be -54 + (-109)/((-4251)/2184). Factor -1/2*d**3 - 63/2*d + 15/2*d**y + 49/2.
-(d - 7)**2*(d - 1)/2
Suppose 5*g = -5*t + 10, 20 = 5*g - 3*t + 10. Determine q so that 0 - 189/4*q - 39/4*q**3 + 153/4*q**g + 3/4*q**4 = 0.
0, 3, 7
Let m = 7 - 5. Suppose 2*p + 8 = 3*n, -n - 94 = -4*p - 90. Factor -32*w + 4 + 25*w**m + 32*w**p - 29*w**2.
4*(w - 1)*(7*w - 1)
Solve 371*s + 212*s**2 - 209*s**2 - 189 - 557*s = 0 for s.
-1, 63
Factor 1180*v + 5*v**4 - 385*v**2 - 660 + 9447*v**3 - 10*v**4 - 9577*v**3.
-5*(v - 1)**2*(v + 6)*(v + 22)
Let o(m) = -4*m**3 + 3*m**2 + 4*m. Let z = 230 - 218. Let c(i) = i**3. Let d(f) = z*c(f) + 4*o(f). Factor d(p).
-4*p*(p - 4)*(p + 1)
Let n(r) be the second derivative of -r**4/6 + 26*r**3/27 + r**2/3 + 3526*r. Solve n(x) = 0 for x.
-1/9, 3
Let q(a) be the first derivative of 11/3*a**3 + 0*a + 1/50*a**5 + 0*a**2 + 3/40*a**4 + 1/600*a**6 + 14. Let p(t) be the third derivative of q(t). Factor p(s).
3*(s + 1)*(s + 3)/5
Factor -57*h**3 + 4*h**2 + 44*h**3 - 61*h**3 - 44*h**3 + 216*h**4 - 106*h**5 + 4*h**3.
-2*h**2*(h - 1)**2*(53*h - 2)
Let f(m) = -m**3 - 247*m**2 - 1111*m + 1275. Let k(z) = -z**3 - 2*z**2 - 11*z. Let n(h) = -f(h) + 6*k