0. Let g = -14 + w. Factor -g*r**3 + 0 - 154/5*r**4 - 98/5*r**5 + 0*r - 8/5*r**2.
-2*r**2*(r + 1)*(7*r + 2)**2/5
Factor 1/3*v**2 + 13/3*v + 22/3.
(v + 2)*(v + 11)/3
Let u(l) be the second derivative of 3/2*l**3 + 0 - 8/45*l**6 - 2/3*l**2 + 92*l - 6/5*l**5 - 25/36*l**4. Suppose u(c) = 0. What is c?
-4, -1, 1/4
Let -10 - 57/5*x**2 - 19*x - 13/5*x**3 - 1/5*x**4 = 0. Calculate x.
-5, -2, -1
Let j(u) be the first derivative of 38*u**6/3 + 51*u**5 + 235*u**4/4 + 20*u**3 + 2*u**2 - 2343. Let j(a) = 0. What is a?
-2, -1, -1/4, -2/19, 0
Solve -320*o - 166*o**2 - 26/3*o**3 - 136/3 = 0.
-17, -2, -2/13
Let r(s) be the first derivative of -s**6/36 + s**5/4 + 35*s**4/72 - 10*s - 77. Let v(z) be the first derivative of r(z). Suppose v(o) = 0. What is o?
-1, 0, 7
Determine a so that -539*a - 130*a - 2356 - 1902*a - 1301 - 186 - 6*a**2 = 0.
-427, -3/2
Let s(p) = 5*p**3 + 165*p**2 + 865*p + 22. Let q(b) = b**3 + 33*b**2 + 170*b + 4. Let n(h) = 33*q(h) - 6*s(h). Factor n(z).
3*z*(z + 5)*(z + 28)
Let o(l) be the second derivative of l**6/1800 - l**5/300 + 11*l**3/2 - l**2 + 89*l. Let a(k) be the second derivative of o(k). Suppose a(g) = 0. Calculate g.
0, 2
Factor 1/3*v**2 + 25/3*v + 48.
(v + 9)*(v + 16)/3
Let z = 667/54 + 3941/54. Factor -32/3*s + z + 1/3*s**2.
(s - 16)**2/3
Factor 0*v**2 + 0*v - 8/9*v**5 + 0 - 17/9*v**4 - 2/9*v**3.
-v**3*(v + 2)*(8*v + 1)/9
Let o = -13047 - -130471/10. Let d(k) be the second derivative of -o*k**6 + 5/12*k**4 + 0 + 1/4*k**5 - k**2 - 5/6*k**3 + 18*k. Solve d(s) = 0.
-1, -1/3, 1, 2
Let i(w) = -3*w - 2. Let u be i(-2). Let p = -5515 + 5519. Find n, given that u*n**5 - 2*n**p - 2*n**5 + 4*n**4 + 140*n**2 - 142*n**2 - 2*n**3 = 0.
-1, 0, 1
Suppose -53 = 36066*u - 36062*u + 5*l, -2*u - 7 = l. Solve 55/6*j**2 + 15 - 10/3*j**u + 125/2*j = 0 for j.
-3, -1/4, 6
Solve -78/7*t**2 + 60 - 3/7*t**3 - 339/7*t = 0 for t.
-20, -7, 1
Determine c so that -114*c + 40*c**3 - 5*c**4 + c**4 + 959 - 719 - 94*c - 91*c**2 + 23*c**2 = 0.
-2, 1, 5, 6
Let y(i) = 6*i**2 - 1058*i + 555. Let f(c) = 2*c**2 + 8*c + 1. Let a(u) = -5*f(u) + y(u). Factor a(l).
-2*(l + 275)*(2*l - 1)
Let b(p) = -p**3 + 25*p**2 + 83*p + 30. Let c be b(28). Factor 2*g**4 - 48*g**3 + 3*g**2 - 16*g - 23*g**c + 46*g**3.
2*g*(g - 4)*(g + 1)*(g + 2)
Let h = -71757 + 19230933/268. Let q = h + 5/134. Factor -q*w**3 - 1/2*w**2 - 1 + 7/4*w.
-(w - 1)**2*(w + 4)/4
Let b(j) be the first derivative of 2*j**3/27 + 1592*j**2/9 + 1267232*j/9 - 2283. Find p, given that b(p) = 0.
-796
Let c be 10 + 135/(-18) - 2/4. Factor 3*m**4 + 7*m**2 - 36*m + 6*m**3 + 22 - 3*m**c - 40*m**2 + 74 + 12*m.
3*(m - 2)**2*(m + 2)*(m + 4)
Let l be (731/102 - 8)/(98/(-126) + (-1)/3). Solve -9/2*n - 21/4*n**2 - l*n**3 + 0 = 0.
-6, -1, 0
Let j(d) = 8*d**3 - 6*d**2 + 10*d + 66. Let o(w) = 9*w**3 - 5*w**2 + 12*w + 67. Let r(v) = -7*j(v) + 6*o(v). Factor r(i).
-2*(i - 5)*(i - 3)*(i + 2)
Let r(g) be the third derivative of -g**7/70 - 11*g**6/60 - 37*g**5/60 - 5*g**4/12 - 1296*g**2 - 2*g. Let r(c) = 0. What is c?
-5, -2, -1/3, 0
Suppose -2*d = -u - 0*u + 55, d - 253 = -5*u. Let q(s) = 26*s**2 - 8*s + 65. Let y(o) = 3*o**2 - o + 8. Let r(a) = u*y(a) - 6*q(a). Factor r(b).
-3*(b - 2)*(b + 3)
Factor 4*g**3 - 136*g**2 + 461*g + 533 + 35*g - 1013.
4*(g - 30)*(g - 2)**2
Let m(l) be the first derivative of -7*l**4/8 + 405*l**3/2 - 52461*l**2/4 - 22707*l/2 + 90. Factor m(x).
-(x - 87)**2*(7*x + 3)/2
Let g(b) be the second derivative of b**4/3 + 184*b**3/3 + 360*b**2 - 676*b - 2. Let g(a) = 0. What is a?
-90, -2
Suppose -225/2*v**2 - 29 - 79/2*v**3 - 201/2*v + 3/2*v**4 = 0. Calculate v.
-1, -2/3, 29
Let t(h) be the second derivative of h**7/84 - h**6/3 + 7*h**5/8 + 5*h**4/6 - 3*h**3 - 1196*h. Suppose t(z) = 0. Calculate z.
-1, 0, 1, 2, 18
Let a(z) = z**3 + 19*z**2 - 16*z + 82. Let h(w) = -19*w**2 - 8*w + 7. Let b be h(1). Let y be a(b). Factor -32/13 + 16/13*u - 2/13*u**y.
-2*(u - 4)**2/13
Factor -2*d**3 + 144*d**2 - 133 + 1430*d - 531*d + 1789*d + 11397.
-2*(d - 88)*(d + 8)**2
Solve -202*c - 34858*c**2 + 1402*c - 45*c**5 + 30918*c**2 - 705*c**4 + 1786*c**3 + 1914*c**3 = 0 for c.
-20, 0, 2/3, 3
Let r(a) be the second derivative of a**6/60 + a**5/30 - a**4/3 - 4*a**3/3 + 26*a**2 - 26*a. Let u(h) be the first derivative of r(h). Factor u(q).
2*(q - 2)*(q + 1)*(q + 2)
Let k be ((-33)/9 + 4)/(592/(-48) + 14). Factor -k*f**2 + 6/5 + 1/5*f.
-(f - 3)*(f + 2)/5
Let j(v) be the third derivative of -v**5/100 - 3*v**4/4 - 209*v**3/10 + 3061*v**2. Determine k, given that j(k) = 0.
-19, -11
Suppose 4*s = -3*m - 4 - 6, m + 4*s + 14 = 0. Let b = -8237 + 8240. Find j such that -5/4*j + 1/2*j**m + 1/2 - j**4 + j**b + 1/4*j**5 = 0.
-1, 1, 2
Let x be 16176/14 + -9*(-1)/(-21). Solve -6*n**3 - 1158*n**5 + x*n**5 + 9*n**3 = 0.
-1, 0, 1
Let l(h) be the first derivative of -2/21*h**3 + 8 + 4/7*h**2 + 7*h - 2/21*h**4 + 1/35*h**5. Let m(t) be the first derivative of l(t). Factor m(y).
4*(y - 2)*(y - 1)*(y + 1)/7
Let h(v) be the second derivative of -v**6/60 - 11*v**5/20 - 55*v**4/8 - 116*v**3/3 - 80*v**2 - 283*v. Factor h(w).
-(w + 1)*(w + 5)*(w + 8)**2/2
Let h(l) = l**3 - 1. Let g(x) be the second derivative of 2*x**6/15 + x**5/5 + 4*x**4/3 + 6*x**2 - 5*x - 2. Let p(a) = g(a) + 12*h(a). Factor p(o).
4*o**2*(o + 2)**2
Factor -2*x**3 + 15/2*x**2 - 8*x - 1/4*x**4 + 11/4.
-(x - 1)**3*(x + 11)/4
Let o(k) be the second derivative of -k**7/273 - 49*k**6/195 + 331*k**5/65 + 13519*k**4/39 - 501061*k**3/39 + 2237411*k**2/13 + 180*k + 3. Factor o(m).
-2*(m - 11)**3*(m + 41)**2/13
Let j(r) be the second derivative of -239*r + 144*r**2 + 141/20*r**5 - 80*r**3 - 4/5*r**6 + 0 + 37/6*r**4 + 1/42*r**7. Let j(a) = 0. What is a?
-2, 1, 12
Let c(j) be the first derivative of 0*j + 2/35*j**5 + 2/7*j**4 + 2/7*j**2 + 104 + 10/21*j**3. Factor c(h).
2*h*(h + 1)**2*(h + 2)/7
Solve -w**2 + 3*w**2 - 2*w**2 - 3*w**2 + 339*w + 342 = 0.
-1, 114
Let o(l) be the first derivative of -5*l**3/3 - 45*l**2/2 + 1430*l - 2963. Factor o(m).
-5*(m - 13)*(m + 22)
Suppose 7*a - 9*a = -3*n - 5, 4*a - 13 = 5*n. Let d be (-988)/(-28) + (-2)/a. Determine f so that 84*f**3 + d*f - 99*f**2 - 15*f**4 - 51*f - 38*f = 0.
-2/5, 0, 3
Let p be ((-2)/8)/(4/(-64)). Suppose -3*d = x - 13, 0 = -5*x - p + 9. Factor -20*n + 0*n**4 + 2*n**4 + 0*n**d - 20*n**3 - 30*n**2 - 5 - 7*n**4.
-5*(n + 1)**4
Let y(i) be the second derivative of 1/63*i**7 + 0*i**2 + 0*i**3 + 2/9*i**4 - 72*i - 2/15*i**5 - 1/45*i**6 + 0. Suppose y(x) = 0. What is x?
-2, 0, 1, 2
Let t(r) be the third derivative of r**6/480 - r**5/15 + 2*r**4/3 + 1396*r**2. Factor t(l).
l*(l - 8)**2/4
Let k = -13178/3 - -4393. Let j(m) be the second derivative of -5/6*m**3 + 0*m**2 - 18*m + 0*m**5 + 0 + 5/6*m**4 - k*m**6 + 5/42*m**7. Factor j(d).
5*d*(d - 1)**3*(d + 1)
Let t be (12/126*176)/(1/(-9)). Let c = t - -1065/7. Find n such that -3/7*n**2 + 30/7 + c*n = 0.
-2, 5
Let i = 38896 - 38896. Let h(m) be the third derivative of 9*m**2 + 0*m**4 + 0*m**6 + 0*m**3 + 0 + i*m + 1/180*m**5 - 1/630*m**7. Factor h(q).
-q**2*(q - 1)*(q + 1)/3
Let a(b) be the first derivative of b**7/1680 + 47*b**6/2160 + 11*b**5/45 - 4*b**4/9 - 26*b**3/3 - 17. Let r(o) be the third derivative of a(o). Factor r(g).
(g + 8)**2*(3*g - 1)/6
Factor r**2 - 550 - 5*r**2 - 9 - 947 - 150 - 1660*r.
-4*(r + 1)*(r + 414)
Suppose -123*f + 127*f + 24 = -4*o, -5*o + 4*f + 51 = 0. Let 4/3 + 6*k**2 - 10/3*k**o - 14/3*k + 2/3*k**4 = 0. Calculate k.
1, 2
Let u be (4 - -1)/((-875)/(-350)). Let c = 5 - 3. Factor c*h**u - 26 + 2*h + 6 + 8.
2*(h - 2)*(h + 3)
Suppose 200*x - 524 + 124 = 0. What is w in 4/13*w + 30/13 - 2/13*w**x = 0?
-3, 5
Suppose n + 2*l + 85 = 3*l + 89, -2*n = 2*l. Determine v so that 15*v - 3/7*v**n - 102/7 = 0.
1, 34
Let y = 11 + -63. Let x = y - -62. Let 4*j**3 - x*j**3 + j**3 + 28*j**2 - 8*j**2 - 20*j = 0. What is j?
0, 2
Let z(g) be the first derivative of -4*g**3/3 - 608*g**2 - 92416*g + 769. Let z(d) = 0. Calculate d.
-152
Let r(t) be the third derivative of -t**5/300 - 19*t**4/120 + 4*t**3 + 4834*t**2. Factor r(u).
-(u - 5)*(u + 24)/5
Let g(s) be the third derivative of s**6/720 - 123*s**5/40 + 1657*s**4/72 - 184*s**3/3 - 2*s**2 - 2482. Factor g(l).
(l - 1104)*(l - 2)*(l - 1)/6
Suppose -t - 15 + 19 = 0. Determine a so that -t*a**3 - a**2 - 125*a + 236*a - 123*a + 17*a**2 = 0.
0, 1, 3
Let w(q) b