e u.
34, 36
Suppose a = 162*b - 163*b - 5, 3*b - 41 = 5*a. Let k(h) be the first derivative of 16/3*h**3 + 17 + 0*h + 2*h**b + 16/5*h**5 + 6*h**4 + 2/3*h**6. Factor k(x).
4*x*(x + 1)**4
Let p(h) = 6*h**2 - 60*h - 194. Let k(t) = 8*t**2 - 61*t - 195. Let s(v) = -2*k(v) + 3*p(v). Factor s(b).
2*(b - 32)*(b + 3)
Let h(b) be the first derivative of -b**6/420 + 13*b**5/210 + 52*b**2 + 69. Let m(u) be the second derivative of h(u). Factor m(y).
-2*y**2*(y - 13)/7
Let o be (1/(-6))/((-2)/8). Let h = 824770/3 + -274910. Determine u, given that -h*u - 200/3 - o*u**2 = 0.
-10
Suppose -3*l + 5*a = 6, 0*l - 5*a = 3*l - 24. Let j be (-4)/6 - (21/(-42))/(12/16). Let 0*o**2 + 0*o + j - 3/2*o**5 + 3/2*o**4 + 3*o**l = 0. What is o?
-1, 0, 2
Let c be ((-485)/25)/((-108)/3105). Let m = c + -554. Determine r, given that 0 - 2*r**4 - m*r**3 - 1/4*r**5 + 4*r + 2*r**2 = 0.
-4, -1, 0, 1
Let i(w) be the third derivative of w**7/630 - w**6/180 - w**5/9 - w**4/3 - 3*w**2 + 59. Find a, given that i(a) = 0.
-2, 0, 6
Let f = 17548 + -17546. Factor 2/7*i**3 + 16/7 + 12/7*i**f - 30/7*i.
2*(i - 1)**2*(i + 8)/7
Factor 225*t + 0*t**2 - 3/4*t**3 - 1500.
-3*(t - 10)**2*(t + 20)/4
Suppose u + 212*t - 17 = 217*t, 3*u + 4*t + 6 = 0. Suppose -3 + 9/4*s**u - 3*s**3 + 3/4*s**4 + 3*s = 0. Calculate s.
-1, 1, 2
Suppose -8*m + 34 = 12 - 10. Determine i so that 0 + 14/9*i + 2*i**3 - 2/9*i**m - 10/3*i**2 = 0.
0, 1, 7
Suppose 28*k = -10442 - 18538. Let o = k + 1037. Suppose 4/21*j + 0 - 2/21*j**o = 0. What is j?
0, 2
Let f(v) be the first derivative of -v**6/630 + 2*v**5/105 - 2*v**4/21 + 35*v**3 - 96. Let d(g) be the third derivative of f(g). Factor d(i).
-4*(i - 2)**2/7
Let r(m) be the second derivative of 10*m**7/21 - 4*m**6/15 - 5*m**5 + 10*m**4/3 + 40*m**3/3 - 16*m**2 - 12*m + 6. Find h such that r(h) = 0.
-2, -1, 2/5, 1, 2
Let a(x) = -x + 21. Let o be a(11). Suppose o + 5 = 5*z. Factor 6*q**4 - z*q**5 + 6*q**5 - 3*q**4.
3*q**4*(q + 1)
Let q be 9/(108/60) + 20. Let u(t) be the third derivative of 0*t + q*t**2 - 1/48*t**5 + 55/48*t**4 - 605/24*t**3 + 0. What is w in u(w) = 0?
11
Let p(w) be the first derivative of -99/10*w**2 - 42/5*w + 164 + w**3. Solve p(k) = 0 for k.
-2/5, 7
Suppose 6*k + 24 = 12*k. Suppose h + 6 = 3*l - k, 4 = -4*h. Factor -20*g + 8*g**2 + 10*g**l - 39*g**2 + 10*g**2 - 25*g**2.
2*g*(g - 5)*(5*g + 2)
Let w(h) = -21*h**2 + 945*h + 333. Let z(c) = 17*c**2 - 944*c - 327. Let l(y) = 2*w(y) + 3*z(y). Suppose l(n) = 0. What is n?
-1/3, 105
Let x be (-27)/(189/(-112))*(-85)/(-680). Solve -1/4*f**x + 0 + 1/2*f = 0.
0, 2
Determine s so that 5126/13*s - 2/13*s**2 + 0 = 0.
0, 2563
Let w(t) = 6*t**2 - 69*t - 594. Let v(c) = -11*c**2 + 136*c + 1186. Let f(p) = -3*v(p) - 5*w(p). Factor f(q).
3*(q - 28)*(q + 7)
Let x(c) be the first derivative of -c**4/4 + 5*c**3/3 + 2*c**2 + 12*c + 5. Let y be x(6). Factor 4*v**2 + y*v**2 + 0*v**2 - 7*v**2.
-3*v**2
Let r = 1565 + -1547. Suppose r = 29*o + 18. What is j in 1/8*j**5 - 5/8*j**4 + j**3 + 0*j - 1/2*j**2 + o = 0?
0, 1, 2
Let g(z) be the first derivative of z**5/15 - z**4/2 - 38*z**2 + 84. Let d(h) be the second derivative of g(h). Factor d(q).
4*q*(q - 3)
Let g(b) be the third derivative of b**7/210 - 3*b**6/10 - 17*b**3 + 61*b**2. Let m(t) be the first derivative of g(t). Let m(s) = 0. What is s?
0, 27
Let b(l) be the third derivative of -l**5/3 + 1045*l**4/24 - 130*l**3/3 + 2*l**2 - 1005*l. Let b(y) = 0. What is y?
1/4, 52
Let y = 10 + -13. Let q(t) = t**3 + 8*t**2 + 2*t. Let p be q(y). Suppose 3*x**3 + 2*x**3 - 4*x**3 + p*x**2 + 8*x**3 + 40*x + 12 = 0. Calculate x.
-3, -2/3
Suppose 12*j + 86 = -610. Let c be j/(-42) + (4 + -3)/3. Factor 9/7*h**3 + c - 12/7*h - 15/7*h**2.
3*(h - 2)*(h + 1)*(3*h - 2)/7
Let b(p) be the first derivative of -4*p**3/7 - 278*p**2/7 - 1560*p/7 - 2608. Factor b(q).
-4*(q + 3)*(3*q + 130)/7
Let g be -2 + -7 + 2014 + -1978. Determine n, given that 27/2*n**2 - 12*n**3 + g*n + 0 + 3/2*n**4 = 0.
-1, 0, 3, 6
Solve 1/4 + 7/8*d**2 - 17/8*d + d**3 = 0 for d.
-2, 1/8, 1
Suppose -20 = -z - 8*o + 3*o, -z = -5*o + 10. Solve 32*w**5 + 1564*w**3 - 320*w - 44*w**2 + 270*w**z + 22*w**5 - 48 - 1476*w**4 = 0 for w.
-2/9, 1, 3
Let z(y) = 8*y**2 + 12*y + 16. Let j(p) = -9*p**2 - 11*p - 16. Let i = -25 + 25. Let c be (5 - i)*(-19)/19. Let k(o) = c*z(o) - 4*j(o). What is v in k(v) = 0?
-2
Let h be (-41)/246*(1 - 7) - -2. Let m(w) be the first derivative of -3/4*w**4 + 5*w**h + 0*w - 9/2*w**2 + 16 - 3/5*w**5. Determine p so that m(p) = 0.
-3, 0, 1
Let l(w) be the first derivative of -1/5*w**5 + 8/3*w**3 - 74 + 3/2*w**4 - 3*w**2 - 7*w. Factor l(u).
-(u - 7)*(u - 1)*(u + 1)**2
Let f(g) = 22*g**3 - 11*g**2 + 151*g + 333. Let r(k) = 366*k**3 - 188*k**2 + 2566*k + 5662. Let q(t) = -100*f(t) + 6*r(t). Factor q(v).
-4*(v - 7)*(v + 2)*(v + 12)
Let x = 3/137432 + 274855/412296. Determine y, given that 6*y + 16/3 + x*y**2 = 0.
-8, -1
Let u(c) be the first derivative of -15*c**5/4 + 25755*c**4/16 + 5169*c**3/4 - 9291*c**2/8 + 258*c - 1645. Find j, given that u(j) = 0.
-1, 1/5, 344
Suppose -15*v + 61 - 1 = 0. Suppose 5*f + v*d - 22 = 0, 4*d - 8 = -3*f + 5*f. Determine u, given that 1/4*u**f - 1/2*u + 1/4*u**3 + 0 = 0.
-2, 0, 1
Let s(t) be the first derivative of 3/32*t**4 - 1/4*t**2 + 1/40*t**5 + 122 + 0*t + 0*t**3. Factor s(q).
q*(q - 1)*(q + 2)**2/8
Let x(f) be the first derivative of f**3/12 - 159*f**2/8 - 161*f/2 + 3525. Factor x(n).
(n - 161)*(n + 2)/4
Suppose -34*u - 40 = -24*u. Let b(a) = -3*a**2 - 2*a + 4. Let s(o) = o**2 - 1. Let y(q) = u*s(q) - b(q). Factor y(f).
-f*(f - 2)
Let j be (12/20 - 10647/22295)/((-3)/(-14)). What is r in -16/7 + j*r + 2/7*r**2 = 0?
-4, 2
Solve 494*p**2 + 2*p**2 + 64*p - 768 - 2*p**5 + 381*p**3 + 604*p**3 - 1261*p**3 + 56*p**4 - 2*p**5 = 0.
-1, 3, 4
Let r(i) be the third derivative of i**6/180 + i**5/15 + i**4/3 - 31*i**3/6 + i**2 - 11. Let u(g) be the first derivative of r(g). Solve u(l) = 0.
-2
Let u(w) be the third derivative of -w**10/982800 - w**9/43680 - w**8/16380 - 2*w**5/3 - 6*w**2 + w. Let h(j) be the third derivative of u(j). Factor h(p).
-2*p**2*(p + 1)*(p + 8)/13
Solve 476/5*x**2 - 576/5 - 13/5*x**4 - 116/5*x**3 - 96/5*x = 0.
-12, -12/13, 2
Let l(w) be the first derivative of -2*w**5/5 + 139*w**4 - 39194*w**3/3 + 38364*w**2 - 38088*w - 43. Determine k, given that l(k) = 0.
1, 138
Let w = -5120 - -5127. Let f(x) be the second derivative of 0*x**6 + 0*x**2 + 1/140*x**5 + 10*x + 0*x**4 + 0*x**3 - 1/294*x**w + 0. Factor f(y).
-y**3*(y - 1)*(y + 1)/7
Let r = -1131848/3 + 377283. Factor 0*z + 1/3*z**2 - 1/3*z**4 + 0 - r*z**5 + 1/3*z**3.
-z**2*(z - 1)*(z + 1)**2/3
Factor 10*j - 5/2*j**2 - 15/2.
-5*(j - 3)*(j - 1)/2
Determine s, given that -1176/11 - 2/11*s**2 - 1178/11*s = 0.
-588, -1
Let j(m) be the first derivative of 1/12*m**3 + 0*m - 1/20*m**5 - 15/16*m**4 - 76 + 15/8*m**2. Factor j(l).
-l*(l - 1)*(l + 1)*(l + 15)/4
Let z = 1038142 + -4152557/4. Factor -25/4*b**2 - 1/4*b**5 + 0*b + 0 - z*b**4 - 35/4*b**3.
-b**2*(b + 1)*(b + 5)**2/4
Factor 212*d - 1344 + 205*d - 35*d - 4*d**2 + 245*d - 167*d.
-4*(d - 112)*(d - 3)
Let z(q) be the second derivative of 4*q**6/15 + 83*q**5/2 + 358*q**4/3 + 203*q**3/3 - 102*q**2 + 2*q - 80. Determine y, given that z(y) = 0.
-102, -1, 1/4
What is b in -729*b - 426*b**2 + 669*b - 45*b**3 - 129*b**3 + 9*b**3 + 45*b**5 + 102*b**4 + 72 = 0?
-2, -3/5, 1/3, 2
Let s(m) be the first derivative of m**3/18 + m**2/3 - 70*m/3 - 2244. Find w, given that s(w) = 0.
-14, 10
Let h be ((-780)/80 - -12)*(-3)/(-27). Let u be -3 - (-1 - 9/4). Factor -h - u*x**2 + 1/2*x.
-(x - 1)**2/4
Let o be -2*((-24)/(-16) + (2 - 4)). Let s(x) = -x**4 - 2*x**3 - 1. Let n(a) = -7*a**4 - 19*a**3 + 20*a - 2. Let i(k) = o*n(k) - 2*s(k). Factor i(y).
-5*y*(y - 1)*(y + 2)**2
Suppose -41*j = 28*j - 93*j + 96. Let k(p) be the first derivative of 1/22*p**j - 1/11*p**2 + 2/33*p**3 - 2/11*p + 48. Determine r so that k(r) = 0.
-1, 1
Suppose 10*d - 6*d - 72 = -4*l, 0 = d - 4*l + 7. Solve 2 - 17*k + k**2 + d*k**2 - 56*k**4 + 2*k**3 + 9*k**2 + 16*k**2 = 0.
-1, 1/4, 2/7, 1/2
Let x(t) be the third derivative of -t**5/270 + 295*t**4/27 - 131*t**3/3 - 2*t**2 + 25. Factor x(d).
-2*(d - 1179)*(d - 1)/9
Let f(i) = -2*i**2 + 18*i - 24. Let g be f(7). Factor -10*m**3 - 4*m**2 - 44*m**4 + 42*m**g - 8*m**2.
-2*m**2*(m + 2)*(m + 3