o**5 + 8/7*o**2 + 16/7*o**l + 0*o - 20/7*o**3 = 0.
0, 1, 2
Let c be (-3 - (-9)/5)/((-3)/15). Suppose c*l = 10 + 8. Factor u**2 - u**l - 3 + u + 3 - 1.
-(u - 1)**2*(u + 1)
Let t(v) = -9*v**3 + 81*v**2 - 165*v + 69. Let j(f) = -f**3 + f**2 - 4*f. Let x(l) = -6*j(l) + t(l). Factor x(m).
-3*(m - 23)*(m - 1)**2
Let x(s) be the second derivative of 7*s**5/180 + 47*s**4/12 + 40*s**3/9 - 6*s**2 - 136*s - 1. Let m(f) be the first derivative of x(f). Factor m(r).
(r + 40)*(7*r + 2)/3
Suppose -5*r = -4*w - 31, -8*w = -12*w - 5*r - 1. Let h(n) = -3*n**2 + 12*n + 36. Let g(l) = -7*l**2 + 24*l + 72. Let a(v) = w*g(v) + 9*h(v). Factor a(u).
(u + 6)**2
Suppose 0 = -5*t - 3*m + 196, -3*t + m = -0*t - 126. Let -16 + 6*x + t*x - 10 + 16*x + 5*x**2 = 0. What is x?
-13, 2/5
Let s(t) be the second derivative of -55/3*t**3 - 11/20*t**5 + 39*t - 1/60*t**6 - 1 - 25*t**2 - 47/8*t**4. Let s(v) = 0. Calculate v.
-10, -1
Suppose 33*p + 0 = 858. Suppose -22*y + 35*y = p. Factor -24/5*o - 144/5 - 1/5*o**y.
-(o + 12)**2/5
Let b(c) = 12*c**2 + c - 2. Let o(g) = 20*g + 195. Let x be o(-10). Let t(a) = -27*a**2 - 2*a + 5. Let z(u) = x*b(u) - 2*t(u). What is p in z(p) = 0?
-1/6, 0
Suppose -2*i = -29*i + 2538. Determine p, given that 147 + 75*p + 0*p**2 - p + 3*p**2 + i*p - 18*p = 0.
-49, -1
Let p(o) be the first derivative of -1/6*o**6 + 0*o**3 + 0*o**2 + o**5 + 0*o - o**4 + 7. Factor p(q).
-q**3*(q - 4)*(q - 1)
Let -197*c**3 + 19122*c - 180*c**3 - 306*c + 5*c**4 - 9604 - 7*c**3 - 9*c**4 - 8824*c**2 = 0. Calculate c.
-49, 1
Let z = 8041 + -8039. Let m(n) be the third derivative of 0*n + 2*n**z + 1/60*n**4 + 0*n**3 + 0 - 1/300*n**5. Factor m(r).
-r*(r - 2)/5
Let d(v) = -5*v**2 - 860*v - 42320. Let y(s) = 3*s. Suppose 0 = z + 3*o + 13, 17 = -z - 5*o + o. Let j(p) = z*d(p) + 20*y(p). Suppose j(c) = 0. Calculate c.
-92
Suppose 23*o + 304 = 7*o. Let k(y) = -y**3 - 18*y**2 + 16*y - 55. Let r be k(o). Factor -2/3*p**r + 28/3*p - 98/3.
-2*(p - 7)**2/3
Let y(f) = -27*f**2 + 5210*f - 2234299. Let p(d) = 17*d**2 - 3472*d + 1489533. Let i(n) = -8*p(n) - 5*y(n). Factor i(q).
-(q - 863)**2
Let h be ((2 + (-4 - -2))/(20/10))/2. Find t, given that h + 5*t + 197/10*t**3 - 57/10*t**4 - 39/2*t**2 + 1/2*t**5 = 0.
0, 2/5, 1, 5
Let a be (1 + 2)*13/(-39)*519. Let z = -515 - a. Solve q**2 + 12/5*q - 12/5*q**3 + 4/5*q**z - 9/5 = 0 for q.
-1, 1, 3/2
Let -35/8 + 17/4*o + 71/8*o**2 + 1/4*o**3 = 0. What is o?
-35, -1, 1/2
Let j be (15 + (-1140)/75)/(6 - (-39)/(-6)). Solve -l**3 + l + j + 1/5*l**2 - 3/5*l**4 = 0.
-1, -2/3, 1
Let q be 1 + 5 + -6 - 28. Let d be (-76)/q + -3 - 232/(-224). Factor d*i**2 - 15/2*i + 75/4.
3*(i - 5)**2/4
Let v(j) be the first derivative of j**5/180 + 11*j**4/72 - 11*j**2 + 33. Let a(k) be the second derivative of v(k). Determine b, given that a(b) = 0.
-11, 0
Let u(l) be the second derivative of l**6/420 - l**4/7 - 16*l**3/21 + 23*l**2 + 61*l. Let v(d) be the first derivative of u(d). Solve v(p) = 0 for p.
-2, 4
Let m(h) be the second derivative of -h**4/28 - 706*h**3/7 - 2805*h. Determine p so that m(p) = 0.
-1412, 0
Let n be 6 + -4 - -1 - 11. Let j be -3*5/(-6) - n/(-16). Determine y so that -12*y**3 + 8*y**3 - 16*y**3 + 25*y**j - 10*y + 5*y**4 = 0.
0, 1, 2
Let b = 87628/569751 + 2/43827. Find k, given that b*k + 2/13*k**4 - 2/13*k**3 - 6/13*k**2 + 4/13 = 0.
-1, 1, 2
Let s(f) = -f**2 - f**2 - 10*f**2 + 81*f**3 - 28*f - 82*f**3. Let l be s(-3). Suppose -12/11 - 2/11*h**l + 8/11*h**2 - 2/11*h = 0. What is h?
-1, 2, 3
Let s = 122/577 - 399/4616. Factor s*q**2 + 0 - 1/8*q.
q*(q - 1)/8
Let s be (380/(-24) - -5)*-6. Suppose -10*c + s = 65. Find m, given that 2/3*m**2 + c*m + 0 + 2/3*m**3 = 0.
-1, 0
Suppose 466*l = 469*l - 6, 11 = 3*n + l. Let x(a) be the second derivative of -3/14*a**n - 5/28*a**4 + 3/7*a**2 + 14*a + 0. Factor x(z).
-3*(z + 1)*(5*z - 2)/7
Factor 19*y**3 + 5536*y**2 + 2966*y - 5722*y + 344 - 83*y**3.
-4*(y - 86)*(4*y - 1)**2
Let o(y) = -3*y + 15. Let w be o(4). Factor 5*t**3 + 15*t + 20*t**2 + 2*t**4 - 4*t**4 + t - w*t**3.
-2*t*(t - 4)*(t + 1)*(t + 2)
Let t(m) = 2*m**3 + 10*m**2 + 50*m - 60. Let j(f) = 11*f**3 + 39*f**2 + 199*f - 240. Let z(x) = -2*j(x) + 9*t(x). Let z(k) = 0. What is k?
-3, 1, 5
Let p(t) be the third derivative of t**8/13440 + t**7/420 + t**4/3 - 2*t**3/3 - 153*t**2. Let s(a) be the second derivative of p(a). Factor s(c).
c**2*(c + 12)/2
Suppose -u = 2*u - 12. Let c = -2472 - -2477. Factor 70*s**4 - s**2 + c*s**3 + 6*s**2 - 5*s + 73*s**u - 148*s**4.
-5*s*(s - 1)**2*(s + 1)
Let a(f) be the first derivative of 0*f - 91/10*f**4 - 98/25*f**5 - 9/5*f**2 - 34/5*f**3 + 30. Determine n so that a(n) = 0.
-1, -3/7, 0
Let 202*b**2 - 103*b**2 + 42 - 65*b**2 + 45*b - 45*b**3 - 73*b**2 - 3*b**4 = 0. Calculate b.
-14, -1, 1
Factor 700/3 + 57*w - 1/3*w**2.
-(w - 175)*(w + 4)/3
Let z = 296/315 + 6/35. Let o(h) be the first derivative of -18 + 0*h + 5/12*h**4 + 5/6*h**2 + z*h**3. Factor o(v).
5*v*(v + 1)**2/3
Let i(l) be the first derivative of 0*l**2 - 12*l + 1/114*l**4 + 1/95*l**5 + 0*l**3 + 1/285*l**6 + 14. Let s(x) be the first derivative of i(x). Factor s(c).
2*c**2*(c + 1)**2/19
Let u(s) be the second derivative of s**5/110 - 105*s**4/22 + 314*s**3/33 + 259*s - 2. Factor u(p).
2*p*(p - 314)*(p - 1)/11
Let m(a) be the first derivative of 11*a**2/2 - 31*a - 58. Let t be m(3). Factor -4/5*l + 6/5 + 2/15*l**t.
2*(l - 3)**2/15
Factor 40*k + 0 - 2/3*k**3 + 56/3*k**2.
-2*k*(k - 30)*(k + 2)/3
Solve 20/3*n - 4/3*n**2 + 3224/3 = 0 for n.
-26, 31
Let v = 10058 - 10058. Let g(h) be the first derivative of -2/21*h**3 + v*h - 34 + 3/7*h**2. Factor g(m).
-2*m*(m - 3)/7
Let r(l) be the third derivative of -87*l**2 + 0*l**3 + 1/12*l**4 - 1/120*l**6 + 0*l - 1/60*l**5 + 0. Let r(x) = 0. Calculate x.
-2, 0, 1
Let s = 25 + -20. Suppose -s*r - 11 = -5*q + 19, r = -q. Factor -7*o**2 + 2*o + 16*o**2 + o**4 + 3*o**q - 2*o**4 - 3*o**4.
-o*(o - 2)*(o + 1)*(4*o + 1)
Let k(u) be the first derivative of -u**4/5 + 24*u**3/5 - 24*u**2 - 160*u + 3122. Factor k(z).
-4*(z - 10)**2*(z + 2)/5
Let s(j) be the third derivative of -j**6/120 + 13*j**5/60 + j**4/12 - 3*j**3 + 7*j**2. Let u be s(13). Find c, given that u + 51*c - 99*c - 20*c**2 + 60*c = 0.
-2/5, 1
Suppose 5*b - i - 25 = i, 5*b - 10 = -i. What is u in -1 + 13 + b*u**2 - 40*u - 36 - 21 + 2*u**2 = 0?
-1, 9
Suppose 21*g = 22*g - 2. Let p(f) be the first derivative of -1/2*f**3 - 3/16*f**4 + 0*f - 22 + 0*f**g. Factor p(r).
-3*r**2*(r + 2)/4
Let l = 11574847/42 + -275617. Let u = -149/6 - l. What is k in 24/7 + u*k**2 + 20/7*k = 0?
-3, -2
Determine t so that 163/4*t - 9/4*t**2 - 9/2 = 0.
1/9, 18
Suppose -71736 = 98*i - 37*i. Let w = i + 1185. Determine u, given that -9/4*u**3 + 33/2*u**2 + w*u - 15/4*u**4 - 6 = 0.
-2, -1, 2/5, 2
Let s be 2/9 + 7/63 - (-173 - -173). Factor s*g**2 + 784/3 + 56/3*g.
(g + 28)**2/3
Determine f so that -285/8 - 1/8*f**2 - 143/4*f = 0.
-285, -1
Let w be 2 - (170/(-35) + 0). Let v = 638/91 - w. Factor 2/13*j**2 + 2/13*j**5 + 0 - 2/13*j**3 + 0*j - v*j**4.
2*j**2*(j - 1)**2*(j + 1)/13
Factor 65*j**3 - 56 - 359*j**4 - 538*j**2 - 416*j**2 - 2256 + 358*j**4 - 3332*j.
-(j - 34)**2*(j + 1)*(j + 2)
Suppose -n + 252 = -5*l, -5*n + 58 + 2 = -l. Let i = l + 52. Let 4*v**2 - 2*v**5 + 311*v**4 - i*v**5 - 315*v**4 + 4*v**3 = 0. Calculate v.
-1, 0, 1
Factor 2/9*s**2 - 24 + 46/9*s.
2*(s - 4)*(s + 27)/9
Let z be 110/(-40)*((-522)/(-66) + 0 + -8). Find b, given that 33/4*b + 9 + 5/2*b**2 + z*b**3 = 0.
-4, -3
Suppose -7468*u + 8043*u = 0. What is d in u*d - 3*d**2 + 1/3*d**4 + 7/6*d**5 - 21/2*d**3 + 0 = 0?
-3, -2/7, 0, 3
Let d(a) be the third derivative of -3/20*a**5 - 42*a**2 + 0*a**6 + 1/70*a**7 + 0*a + 0*a**3 - 1/4*a**4 + 0. Factor d(w).
3*w*(w - 2)*(w + 1)**2
Suppose -143 = -36*l - 88*l - 48 + 153. Let -3/2*j**l + 3/2*j + 3 = 0. What is j?
-1, 2
Suppose 26 = 3*l + 5*k, 0 = 7*l + 21*k - 20*k - 18. Let 0 - 2/5*h**l + 1/5*h + 1/5*h**3 = 0. Calculate h.
0, 1
Let j(r) be the second derivative of 23/27*r**3 - 2 + 10/9*r**2 - 5/54*r**4 + 6*r. Find z, given that j(z) = 0.
-2/5, 5
Let a = -1436 + 1438. Let r(o) be the third derivative of 0*o + 0*o**3 + 1/24*o**4 + 1/180*o**5 + 0 - 10*o**a. Let r(u) = 0. What is u?
-3, 0
Let i be (-6)/52*39/(-18)*12. Let l(z) be the first derivative of 17/4*z**2 + 26/3*z**i + 21/5*z**5 + 35/4*z**4 + 3/4*z*