595 + v**6/30 - 17*v**5/60 + v**4/12 + 4*v**3/3 - 2*v**2 - 1. Let m(y) be the second derivative of k(y). Factor m(d).
-2*(6*d - 17)**2/17
Let y(b) be the first derivative of 5*b**6/12 + b**5/5 - 591. Let y(w) = 0. What is w?
-2/5, 0
Let m(v) = -10*v - 78. Let g be m(-8). Let 464*u**3 + 1298966*u + 681240 + g*u**4 + 3749*u**2 + 15284817 + 36619*u**2 + 261930*u + 6666935 = 0. Calculate u.
-58
Let t(a) = -8*a**2 - 33*a - 2 + 3 + 7. Let h(p) = 8*p**2 + 32*p - 8. Let i = -5435 - -5438. Let r(u) = i*h(u) + 2*t(u). Factor r(w).
2*(w + 4)*(4*w - 1)
Let r(w) be the second derivative of -185/3*w**3 - 6845/2*w**2 + 0 - 5/12*w**4 - 66*w. Let r(f) = 0. What is f?
-37
Factor 280 + v**2 + 219*v - 1139 - 684*v + 201*v - 213.
(v - 268)*(v + 4)
Let s(w) = -w**2 - 2*w - 1. Let r(a) = -6*a**2 + 150*a - 22 + 0 - 138*a. Let p(y) = r(y) - 4*s(y). Determine z, given that p(z) = 0.
1, 9
Let x(u) be the third derivative of u**6/75 - 373*u**5/150 - 283*u**4/60 + 94*u**3/15 + 872*u**2. Factor x(r).
2*(r - 94)*(r + 1)*(4*r - 1)/5
Let k(r) be the second derivative of r**6/12 + 83*r**5/24 + 1015*r**4/72 + 365*r**3/36 - 125*r**2/6 - 3*r - 36. Determine d, given that k(d) = 0.
-25, -2, -1, 1/3
Let j(r) = r**3 - 11*r**2 - 42*r + 2. Let x = -60 - -74. Let i be j(x). Factor 0*h**i - 2/11*h**4 + 0*h + 0*h**3 - 2/11*h**5 + 0.
-2*h**4*(h + 1)/11
Let a(j) be the third derivative of j**7/700 + j**6/75 + 13*j**5/600 - j**4/15 - 4*j**3/15 + 6468*j**2. Find d, given that a(d) = 0.
-4, -4/3, -1, 1
Let c be -4*5/40*0. Suppose c = l - 12 + 10. Find a such that -4/5*a**l - 4*a - 16/5 = 0.
-4, -1
Let t(q) be the first derivative of q**3/4 - 105*q**2/8 - 258*q + 2932. Determine s so that t(s) = 0.
-8, 43
Let p(x) = -x**3 - x**2 + 2*x + 2. Let a(n) = -15*n**3 + 105*n**2 - 400*n - 520. Let z(b) = -a(b) + 10*p(b). Find q, given that z(q) = 0.
-1, 6, 18
Let 32*z + 418/13 - 2/13*z**2 = 0. What is z?
-1, 209
Let u(n) = -n**4 + n**3 + n**2 - n + 1. Let f(h) = 10*h**4 + 60*h**3 - 230*h**2 + 240*h - 85. Let s(y) = f(y) + 5*u(y). Solve s(q) = 0.
-16, 1
Let b be 40 + -69 + 59 - 26. Determine c so that 3/5*c**b - 3*c**3 + 24/5*c**2 + 0 - 12/5*c = 0.
0, 1, 2
Let z(o) be the third derivative of o**6/540 - 23*o**5/90 + 34*o**4/3 - 1156*o**3/27 - 966*o**2. Determine d, given that z(d) = 0.
1, 34
Let m(q) be the second derivative of q**5/140 - 5*q**4/84 - 7*q**3/6 + 35*q**2/2 - q + 2541. Factor m(t).
(t - 7)*(t - 5)*(t + 7)/7
Let k be (411/548)/((-1)/(-4)). Let u(r) be the second derivative of 2*r**4 - 9*r - 8*r**k + 0 + 16*r**2 - 1/5*r**5. Factor u(v).
-4*(v - 2)**3
Suppose 3*f - 3*k = -2583, -41*k + 46*k + 2559 = -3*f. Let n = f + 2614/3. Find c such that n*c + 2/3*c**2 + 200/3 = 0.
-10
Let k = 1665 + -1661. Let u(w) be the third derivative of -5/12*w**k + 0*w + 4/3*w**3 + 1/30*w**5 - 5*w**2 + 0. Let u(l) = 0. What is l?
1, 4
Let o = 20 - 8. Let u = -335 + 337. Factor 2*q**2 + 6*q**2 - 2*q**2 + o*q - 8*q**u - 18.
-2*(q - 3)**2
Factor -435256 - 2964*z + 130556 - 2*z**2 + 76422 - 869884.
-2*(z + 741)**2
Let q(s) be the first derivative of -4/5*s**5 - 169 + 8*s**2 - 16*s + 4*s**3 - 2*s**4. Suppose q(l) = 0. What is l?
-2, 1
Suppose 222*c + 653*c - 11840 = -605*c. Determine a so that -2*a + 10*a**2 + c*a**4 - 3/2*a**5 + 0 - 29/2*a**3 = 0.
0, 1/3, 1, 2
Let p(b) be the second derivative of -b**6/360 - b**5/120 + b**4/12 + 149*b**3/3 - 109*b. Let f(j) be the second derivative of p(j). Factor f(s).
-(s - 1)*(s + 2)
Let a(k) be the third derivative of -k**5/45 - 229*k**4/3 - 6700*k**2. Find x, given that a(x) = 0.
-1374, 0
Let r(g) be the second derivative of 25/36*g**4 - 8/9*g**3 + 2/3*g**2 - 54*g - 1/126*g**7 + 7/90*g**6 - 19/60*g**5 + 0. Factor r(f).
-(f - 2)**2*(f - 1)**3/3
Factor 608 + 3*h - 1/2*h**2.
-(h - 38)*(h + 32)/2
Let k(u) = 8*u**2 - 116*u + 3. Let z(f) = -f**2 - 1. Let w(c) = -6*c**2 + 70*c - 3. Let y(d) = 5*w(d) - 5*z(d). Let j(a) = 10*k(a) + 3*y(a). Factor j(b).
5*b*(b - 22)
Suppose 13/3*m**4 - 52/3*m - 1/3*m**5 + 64/3 + 53/3*m**3 - 77/3*m**2 = 0. Calculate m.
-4, -1, 1, 16
Let j(b) be the first derivative of b**4/22 - 652*b**3/33 - b**2/11 + 652*b/11 + 504. Factor j(o).
2*(o - 326)*(o - 1)*(o + 1)/11
Determine y, given that 100/3 - 105*y + 21*y**3 - 356/3*y**2 + 4/3*y**4 = 0.
-20, -1, 1/4, 5
Let c = 154566/13805 - -10/2761. Factor 0 - c*x - 4/5*x**2.
-4*x*(x + 14)/5
Let o = -814859/2 - -407430. Determine z so that 7/2*z + 5 - o*z**3 - 2*z**2 = 0.
-5, -1, 2
Let z(c) = -4*c**3 - 1416*c**2 - 167128*c - 6572104. Let l(o) = 4*o**3 + 1416*o**2 + 167133*o + 6572101. Let g(q) = -8*l(q) - 9*z(q). Factor g(x).
4*(x + 118)**3
Let w = -121523/6 + 20254. Let z(p) be the second derivative of -13*p - w*p**4 + 1/40*p**5 + 1/4*p**3 + 0*p**2 + 0. Determine c so that z(c) = 0.
0, 1, 3
Let -590*w**4 - 449*w + 44*w**3 - 40*w**2 - 11*w + 1400*w**2 - w**5 - 24*w**5 - 329*w**3 = 0. Calculate w.
-23, -2, 0, 2/5, 1
Let a = 489197/2 + -244594. Factor 6 - 3/2*u**2 + a*u.
-3*(u - 4)*(u + 1)/2
Let i be (-5 + 3)*15/(-10). Suppose -3573*q**4 - 5*q**3 - 3*q**3 + 3568*q**4 - 12*q**i = 0. Calculate q.
-4, 0
Let s be (4 - 1)*285/29925. Let p(q) be the first derivative of 29 - 1/7*q - s*q**5 + 0*q**2 + 0*q**4 + 2/21*q**3. Suppose p(u) = 0. What is u?
-1, 1
Let l = 5946/5 + -1189. Let n be 4 + (-29)/5 + (29 - 27). Solve 0 + n*f**4 - 3/5*f**3 - l*f + 3/5*f**2 = 0 for f.
0, 1
Let q be (34/(-51))/((-6 - -12)*112/(-756)). Factor 6*y**2 + 0 - 15*y + q*y**3.
3*y*(y - 2)*(y + 10)/4
Suppose 0 = 2*z + 5*x - 4 + 5, -3 = -z + x. Factor 5 - 2*g**2 - 3*g**z - 5*g**2 + 6*g**4 - g**4.
5*(g - 1)**2*(g + 1)**2
Suppose -95*j - 12012 = -67*j. Let f be (12/20)/((j/22)/(-13)). Find a, given that -11/5*a**2 + 4/5*a + 4/5 + f*a**5 - 4/5*a**3 + a**4 = 0.
-2, -1/2, 1
Let x be (2061/23358)/(76/64 - 1). Let -26/17*j**3 + x*j**2 + 8/17*j + 10/17*j**4 + 0 = 0. Calculate j.
-2/5, 0, 1, 2
Let h(y) be the third derivative of y**5/240 - 47*y**4/16 + 6627*y**3/8 + y**2 - 300*y. Factor h(q).
(q - 141)**2/4
Factor 2*u - 2/13*u**2 + 280/13.
-2*(u - 20)*(u + 7)/13
Factor 284661/2*v + 21/2*v**3 - 2451*v**2 + 82134.
3*(v - 117)**2*(7*v + 4)/2
Suppose 63 - 3 = 30*k. Let g(h) be the second derivative of 0*h**5 + 2/3*h**4 - 2/15*h**6 - k*h**2 + 0 + 0*h**3 + 15*h. Factor g(m).
-4*(m - 1)**2*(m + 1)**2
Suppose -74 + 60 = -7*r. Let t(v) = -2*v**3 + 20*v**2 - 18*v. Let l(u) = u**3 - 10*u**2 + 9*u. Let y(m) = r*t(m) + 5*l(m). Suppose y(n) = 0. What is n?
0, 1, 9
Let a(q) be the second derivative of -1/90*q**4 - 2*q - 1/5*q**2 - 2 - 4/45*q**3. Factor a(h).
-2*(h + 1)*(h + 3)/15
Solve 1800/7*g**3 + 2/7*g**4 + 406802/7 + 403196/7*g**2 - 811800/7*g = 0.
-451, 1
Let n be 8/(-32)*(-2)/1. Suppose 38*m - 41 - 78 = 33. Let -i**m - n*i**5 + 1/2*i + i**2 + 0 + 0*i**3 = 0. What is i?
-1, 0, 1
Let x = 6752/8113 + 360/1159. Find t such that -x - 64/7*t - 30/7*t**2 = 0.
-2, -2/15
Let h(x) = -1813*x**2 - 193*x - 10. Let k(o) = -1813*o**2 - 200*o - 12. Let n(p) = 4*h(p) - 3*k(p). Solve n(g) = 0 for g.
-2/37, -2/49
What is k in 0 + 158/5*k**2 + 0*k - 318/5*k**3 - 2/5*k**5 + 162/5*k**4 = 0?
0, 1, 79
Let o be (-40)/(-3) + 0/((19 - 20) + -13). Let 4/3 + 4/3*n**5 + o*n**2 + 20/3*n**4 + 20/3*n + 40/3*n**3 = 0. What is n?
-1
Solve -2*t**4 - 400/7*t + 32/7*t**3 + 288/7 + 278/21*t**2 + 4/21*t**5 = 0 for t.
-3, 1, 4, 9/2
Determine k so that 163 - 58 + 122*k + 23*k - 4*k**2 + 59 + 15*k = 0.
-1, 41
Find j such that -46/3*j**3 - 1/3*j**5 - 16/3*j**4 - 1372/3 + 308/3*j**2 + 1127/3*j = 0.
-7, 1, 4
Let k(l) be the third derivative of 1/10*l**5 + 0*l**7 + 162*l**2 + 1/336*l**8 + 0*l**3 + 0*l + 0*l**4 - 7/120*l**6 + 0. Factor k(h).
h**2*(h - 2)*(h - 1)*(h + 3)
Let s(m) be the third derivative of -1936*m**7/1575 - 22*m**6/9 - 91*m**5/150 - m**4/20 - 299*m**2 + 1. Suppose s(c) = 0. Calculate c.
-1, -3/44, 0
Let v be (-56)/(-441)*55/22*7. Let y = -4 + 6. Solve -2/9*s**y + v*s - 50/9 = 0 for s.
5
Let j(l) = -92*l**3 + 4*l - 3. Let z be j(1). Let d = z + 93. Solve 22*x**2 - 26*x**d + 3*x**3 + 3*x**3 - 2*x**5 + 0*x**3 = 0 for x.
-2, 0, 1
Let z = 381 - 2659/7. Let x be (-1)/21 + 208/(-24) + 9. Factor x*p**2 + z + 8/7*p.
2*(p + 2)**2/7
Let h = 192932/5 + -38586. Determine a so that -12/5*a - 16/5 - h*a**2 = 0.
-4, -2
Let r = 26405/4 + -6601. Let v(b) be the first derivative of 5/6*b**3 + r*b + 5/8*b**4 + 1/4*b**5 + 5/8*b