= -4*b + 4*h, 0 = s*b + 9*h - 5*h - 18. Determine c so that -21*c**b + 9*c - 14*c**4 - c + 5*c**2 - 38*c**3 = 0.
-2, -1, 0, 2/7
Factor -8 - 571443*i + 635523*i - 8 - 64160100*i**2.
-4*(4005*i - 2)**2
Let u be ((-99)/(-63))/(-11) + 57/252. Let j(y) be the second derivative of 0 - 1/20*y**5 + y + 0*y**2 - u*y**4 + 0*y**3. Suppose j(p) = 0. What is p?
-1, 0
Let v = 3429 - 3426. Let t(p) be the first derivative of 2/3*p + 2/27*p**v - 4/9*p**2 + 16. Let t(y) = 0. What is y?
1, 3
Let i(j) be the third derivative of 22*j + 0*j**4 + 0*j**6 + 4/15*j**5 - 2/105*j**7 + j**2 + 0*j**3 + 0. Factor i(d).
-4*d**2*(d - 2)*(d + 2)
Let r(x) = 10*x**3 - 2198*x**2 - 11114*x - 7. Let p(a) = -35*a**3 + 7695*a**2 + 38900*a + 25. Let l(k) = -7*p(k) - 25*r(k). Suppose l(b) = 0. What is b?
-5, 0, 222
Let c(b) be the third derivative of b**7/14 - 1517*b**6/24 + 4031*b**5/12 - 17615*b**4/24 + 2515*b**3/3 - 2555*b**2. Determine m, given that c(m) = 0.
2/3, 1, 503
Let a(j) = -2*j**3 + 2*j**2 + j - 16. Let w(k) = 9*k**3 + 2004*k**2 - 4029*k + 2106. Let r(n) = 6*a(n) + w(n). Factor r(i).
-3*(i - 670)*(i - 1)**2
Let y = 44/615 - 9/164. Let n(o) be the third derivative of 1/30*o**5 + 0 + 0*o + 8*o**2 - 4*o**3 + 2/3*o**4 - y*o**6. Factor n(z).
-2*(z - 2)**2*(z + 3)
Let x = 84063/168130 + 1/84065. Factor -x*z**2 + 9*z + 0.
-z*(z - 18)/2
Let l(g) = 4*g**2 + 24*g + 18. Let i be l(-6). Let b be (-1)/i - 1386/(-1620). Solve 0*t + 1/5*t**2 - b = 0 for t.
-2, 2
Suppose 3/5*k**4 - 6*k**3 + 51/5*k**2 - 144 + 264/5*k = 0. What is k?
-3, 4, 5
Factor -467*b - 1402/3 + 1/3*b**2.
(b - 1402)*(b + 1)/3
Let y be (-26)/(-1053) - (-1976)/3078. Factor -1/2 + y*l - 1/6*l**2.
-(l - 3)*(l - 1)/6
Solve 61*t + 117*t + 507 + t**2 - 330 = 0.
-177, -1
Let v(b) be the third derivative of -2*b**7/315 + 5*b**6/36 - 29*b**5/90 - 41*b**4/6 + 40*b**3 + 1651*b**2. Find a, given that v(a) = 0.
-3, 3/2, 4, 10
Let o be -2*10/(20/(-3)). Let k(z) = -3*z**2 - 9*z + 12. Let d(v) = -6*v**2 - 16*v + 22. Let a(h) = o*d(h) - 5*k(h). Find b, given that a(b) = 0.
-2, 1
Suppose -44 = 2*q - 7*q - 3*z, 3*z - 24 = 0. Let t(h) be the third derivative of 23*h**2 - 1/4*h**5 + 10/3*h**3 + 1/24*h**6 + 0*h**q + 0*h + 0. Factor t(g).
5*(g - 2)**2*(g + 1)
Let b be 8/18*5/20*18. Suppose -2*q + 2 = -b. Factor 2/5*u + 4/15 - 8/5*u**q + 14/15*u**3.
2*(u - 1)**2*(7*u + 2)/15
Let f(i) be the third derivative of i**6/420 + i**5/60 - 5*i**4/168 - 2*i**3/21 - 258*i**2 + 2. Suppose f(j) = 0. What is j?
-4, -1/2, 1
Let z = 128 - 126. Let 82*n - 40*n + 4 + 2*n**z - 36*n = 0. What is n?
-2, -1
Solve -9653618/7 - 2/7*q**2 - 8788/7*q = 0 for q.
-2197
Let a = 336 + -333. Let x be (10/(-70))/((-3)/a). Solve -1/7*r**4 + 2/7*r**2 - 1/7*r**5 - 1/7 - x*r + 2/7*r**3 = 0 for r.
-1, 1
Let q = -2/67215 - -186709/22405. Suppose 5*y - 27 = -7. Factor -q*z**2 + 0 + 5*z + 5/3*z**3 + 5/3*z**y.
5*z*(z - 1)**2*(z + 3)/3
Let n(y) be the first derivative of -1615/3*y**3 - y**5 - 185/4*y**4 - 300 + 0*y + 1805/2*y**2. Factor n(p).
-5*p*(p - 1)*(p + 19)**2
Suppose 3*y - 16*i + 13*i - 84 = 0, -y + 40 = 5*i. Let s be y/(-2)*90/(-600). Solve -3/8*m**2 - s*m + 0 = 0 for m.
-6, 0
Let u(m) be the first derivative of -1/2*m**5 + 5/16*m**4 + 15/4*m**2 + 154 + 0*m + 65/12*m**3. Find k such that u(k) = 0.
-2, -1/2, 0, 3
Let y be (13023/765 + -17)/((-12)/(-192 + -12)). Determine j, given that -22/5*j - 12/5 - y*j**3 - 12/5*j**2 = 0.
-3, -2, -1
Suppose 3*x + 0 = -3, 0 = 3*v - 3*x - 15. Suppose -1 = v*n - 9. What is s in 8 - 3*s**2 + 4*s + 0*s - 5*s**n - 4*s**3 = 0?
-2, -1, 1
Let u be 1 + 88/(-66)*9/2 - -7. Let g(r) be the first derivative of -4*r**u - 4/3*r**3 + 0*r - 20. Let g(z) = 0. What is z?
-2, 0
Suppose 17 + 97 = 3*b. Suppose -44 + b = -2*o. Let -4*s**2 - 5*s**2 + 410*s**3 - 407*s**o = 0. What is s?
0, 3
Let z(m) be the first derivative of -m**5/170 + m**4/17 + 51*m - 43. Let k(p) be the first derivative of z(p). Factor k(l).
-2*l**2*(l - 6)/17
Let d(x) = -17*x**2 - 120 + 6*x - 52*x**2 - 18*x**2 + 36*x. Let u(w) = -18*w**2 + 8*w - 24. Let v(a) = -5*d(a) + 24*u(a). What is j in v(j) = 0?
2, 4
Let s be 20 - 20 - (1 + 1)*-2. Let l(f) be the second derivative of 5/3*f**3 - 5/12*f**s + 13*f + 0 - 5/2*f**2. Factor l(c).
-5*(c - 1)**2
Let l(x) be the third derivative of 19*x**6/120 + 23*x**5/60 - 17*x**4/12 - 4*x**3/3 - 904*x**2. Factor l(d).
(d - 1)*(d + 2)*(19*d + 4)
Let b(g) be the first derivative of 2*g**3/9 + 10*g**2/3 - 16*g - 891. Find k, given that b(k) = 0.
-12, 2
Determine n so that 429 - 85*n**2 - 168 - 181 - 30*n**3 + 30*n + 5*n**4 = 0.
-2, -1, 1, 8
Suppose 4*i - 56 - 22 = -3*x, 3 = i. Let b(p) be the second derivative of -243/2*p**2 - x*p - 9*p**3 + 0 - 1/4*p**4. Find a such that b(a) = 0.
-9
Let v = -134 + 81. Let l = v + 55. Factor 2*m**l - 2*m**3 + m**2 - 2*m + m**2.
-2*m*(m - 1)**2
Let l(r) = r**2 - 53*r + 387. Let g be l(9). Let a be (130/(-39))/(15/g). Find c, given that -6 - 2/3*c**a - 4*c = 0.
-3
Suppose 99*z + 51 = 116*z. Let q(a) be the second derivative of -1/15*a**z - 1/15*a**4 + 6/5*a**2 + 0 + 2*a. Let q(f) = 0. Calculate f.
-2, 3/2
Let i(d) = -2*d**3 + 11*d**2 + 10*d - 24. Let f be i(6). Let w be ((-8)/(-792)*42)/((-2)/(-6)). Factor 4/11*l**2 - w*l**3 - 18/11*l**4 + f + 0*l.
-2*l**2*(l + 1)*(9*l - 2)/11
Suppose 3*b - 4 = -5*f + 4*f, 5*f + 40 = 5*b. Let s = 52 - 17. Find w such that 7*w**b - 2*w**3 - 40 + s*w - 30*w**2 + 25*w = 0.
2
Let i = 765 - 759. Let u be 1*(-10)/5*i/(-4). Let 16/5*f + 0 + 1/5*f**u + 8/5*f**2 = 0. What is f?
-4, 0
Let t be (44/(-12) - -2)/((-10887)/342 - -31). Determine n, given that -9/4*n**t - 3/2*n**5 + 5*n**3 + 1 - 2*n - 1/4*n**4 = 0.
-2, -2/3, 1/2, 1
Let w(n) be the third derivative of -n**5/30 - 301*n**4/3 - 362404*n**3/3 - 302*n**2. What is k in w(k) = 0?
-602
Factor 2/9*t**2 + 76/3*t + 448/9.
2*(t + 2)*(t + 112)/9
Factor -5*a**3 - 108*a + 34*a**2 + 2*a**5 - 2*a**4 - 3*a**3 + 128*a**2 - 36*a**3 - 10*a**3.
2*a*(a - 3)**2*(a - 1)*(a + 6)
Suppose 88 = -2*g - 5*h, 13*g = 14*g + 5*h + 54. Let o be 6/5*(-85)/g. Factor 3/5*r**4 + 0 + 27/5*r**2 + 0*r + 18/5*r**o.
3*r**2*(r + 3)**2/5
Determine b so that -522/11*b + 0 + 180/11*b**2 - 2/11*b**3 = 0.
0, 3, 87
Let w = -332 + 339. Suppose w*d + 177*d**4 + 5*d - 88*d**4 - 87*d**4 - 14*d**2 = 0. Calculate d.
-3, 0, 1, 2
Let v be (-7)/7*3/(-6)*2. Suppose -5 = -z - v. Suppose 5*t**2 + 246*t**4 + 269*t**z + 54*t**3 + 66*t**3 + 205*t**4 = 0. Calculate t.
-1/12, 0
Let u be (180/450)/(8/80). Factor 1/2*h**u + 1/2*h**5 - 5/2*h**3 + 0 + 0*h + 3/2*h**2.
h**2*(h - 1)**2*(h + 3)/2
Factor -3/4*r**3 + 642 - 321/2*r**2 + 3*r.
-3*(r - 2)*(r + 2)*(r + 214)/4
Suppose 104*t + 6 = 2*d + 102*t, -t - 9 = -3*d. Suppose 2*c - 4*c = -10. Let -z**3 - 22*z**4 - 5*z**3 - 18*z**c - 4*z**3 + 6*z**d = 0. Calculate z.
-1, -2/9, 0
Let x = -2/263789 + 120817452/275659505. Let r = x - 8/209. Factor 0*v**2 - 12/5 + r*v**3 - 14/5*v.
2*(v - 3)*(v + 1)*(v + 2)/5
Let z be (-24)/(-9)*(-3)/(-2). Let x be z/(3 + (-8)/(-16)). Factor 10/7*v**2 - 16/7*v - 2/7*v**3 + x.
-2*(v - 2)**2*(v - 1)/7
Let u = -571 - -573. Suppose -u*a = 2*a - 8. Let 8*y + 1/3*y**3 + 12 - 11/3*y**a = 0. Calculate y.
-1, 6
Let n(u) be the third derivative of 0*u**5 + 0*u**3 - 5*u**2 + 0*u**4 + 0*u + 2/35*u**7 + 2 - 3/40*u**6 - 1/112*u**8. Factor n(l).
-3*l**3*(l - 3)*(l - 1)
Let n(s) be the second derivative of -s**5/10 - 71*s**4/12 - 17*s**3/3 + 35*s**2/2 - 1008*s. Determine d, given that n(d) = 0.
-35, -1, 1/2
Determine t so that -14280/13*t - 98/13*t**4 - 8288/13*t**3 - 1944/13 - 28526/13*t**2 = 0.
-81, -3, -2/7
Let z(j) be the first derivative of j**5/72 - 5*j**4/48 - 5*j**3/9 - 7*j**2 + 2*j - 7. Let y(q) be the second derivative of z(q). Solve y(l) = 0 for l.
-1, 4
Let q = 272 - 270. Suppose 21*g - 38 = q*g. What is y in 0 - 3/4*y**3 - 3/4*y**g + 0*y = 0?
-1, 0
Let s(y) be the third derivative of y**8/672 + y**7/420 - y**6/16 - y**5/120 + 19*y**4/24 - 2*y**3 - 2403*y**2. Determine q so that s(q) = 0.
-4, -2, 1, 3
Let n(i) be the first derivative of -i**4/66 + 5*i**3/11 + 144*i - 96. Let m(u) be the first derivative of n(u). Let m(c) = 0. Calculate c.
0, 15
Solve 16/5 + 6/5*d**3 + 44/5*d + 34/5*d**2 = 0 for d.
-4, -1, -2/3
Solve 39 + 193/10*j - 1/10*j**2 = 0.
-2, 195
Factor -57*r**2 - 27997 - 27*r + 0*r**3 + 28025 - 2*r**3.
-(r + 1)*(r + 28)*(2*r - 1)
Let c(k