**4 + 0*z**3 + 0*z - 16*z**2. Let r(a) = 0. Calculate a.
-39, 0
Let q(w) be the first derivative of w**4/60 + w**3/10 + w**2/5 + 227*w - 264. Let n(u) be the first derivative of q(u). Suppose n(g) = 0. What is g?
-2, -1
Suppose 0 + 10*t + 2/3*t**5 + 4*t**4 + 0*t**3 - 44/3*t**2 = 0. Calculate t.
-5, -3, 0, 1
Let f(i) be the third derivative of 1/30*i**6 - 1/6*i**4 + 22/3*i**3 - 33*i**2 - 2 - 11/15*i**5 + 0*i. Factor f(p).
4*(p - 11)*(p - 1)*(p + 1)
What is n in 1033/9*n - 115/3*n**2 + 2/3 = 0?
-2/345, 3
Let h(u) be the second derivative of -219024*u**6/25 + 116532*u**5/25 + 144431*u**4/10 - 1867*u**3/3 + 10*u**2 + 3*u - 1686. Solve h(r) = 0.
-2/3, 5/468, 1
Let a(o) = 3*o - 36. Let k be a(16). Let r(l) be the first derivative of k*l - 4/3*l**3 - 4*l**2 + 2. Factor r(h).
-4*(h - 1)*(h + 3)
Let r be 0*(25764/(-24860) - (-4)/110). Determine w so that r + 2/7*w**3 - 2/7*w**4 + 10/7*w**2 + 6/7*w = 0.
-1, 0, 3
Let u(y) be the second derivative of -y**5/10 - 41*y**4/6 - 391*y**3/3 - 351*y**2 + 13219*y. Determine d so that u(d) = 0.
-27, -13, -1
Let i = 2182/489 - -37/978. Factor -i*r**3 - 1/4*r**5 + 0 - 2*r + 7/4*r**4 + 5*r**2.
-r*(r - 2)**3*(r - 1)/4
Let d be 6/20 - 45535/86850. Let u = -2/965 - d. Factor -8 + 8/3*p - u*p**2.
-2*(p - 6)**2/9
Let q(j) be the second derivative of -j**5/240 + 7*j**4/48 + 13*j**2 - 22*j - 4. Let m(f) be the first derivative of q(f). Factor m(w).
-w*(w - 14)/4
Let y(j) be the third derivative of -j**7/630 - 5*j**6/72 + 13*j**5/20 + 25*j**4/72 - 58*j**3/9 - 800*j**2 - 2. Solve y(l) = 0.
-29, -1, 1, 4
Let i(w) = 7*w - 4. Let q be i(-2). Let g = q + 60. Find m such that 67*m - 3 - g*m - 17 + 5 - 5*m**3 - 5*m**2 = 0.
-3, 1
Determine c so that -182*c**2 - 101 - 37*c**3 - 4*c**2 + 34 + 7*c**4 + 280*c + 3 = 0.
-4, 2/7, 1, 8
Let o(b) be the first derivative of 9*b**4/2 - 436*b**3 + 433*b**2 - 144*b - 882. Factor o(q).
2*(q - 72)*(3*q - 1)**2
Let v be 32/14 - 20/70. What is g in -g**3 + 4*g**3 + 4*g - 8*g**2 - v*g**4 + 2*g**3 + g**4 = 0?
0, 1, 2
Determine b, given that 83*b**3 - 912*b**2 - 1391 + 532*b - 60*b**4 + 208*b**3 + 115*b**3 + 1103 - 2*b**5 + 324*b = 0.
-36, 1, 2
Factor -2/7*o**2 + 36 + 78/7*o.
-2*(o - 42)*(o + 3)/7
Suppose 5*l + k - 14 = 5*k, 4*l = 2*k + 10. Determine r so that -6*r**l - 40 - 45*r - 14*r**2 + 15*r**2 = 0.
-8, -1
Let u = -52814 - -105655/2. Suppose 0 = -b - a + 4*a - 3, -3*b = -3*a - 3. Suppose b*g**2 + 0*g - u*g**3 + 0 = 0. What is g?
0, 2/9
Let v = -3958 - -3958. Let x be (-54)/(-24) + 2/(-8). Factor 2/13*g**5 + 0*g**3 + 0*g + 0 + v*g**x + 4/13*g**4.
2*g**4*(g + 2)/13
Let s(z) = -26*z + 3382. Let b be s(130). Let o = 9536/21 - 454. Find g such that 2/21*g + o*g**5 + 0 + 8/21*g**4 + 4/7*g**3 + 8/21*g**b = 0.
-1, 0
Let k be (33/(-2))/3*2976/(-46512). Let w = k + -6/323. Find i, given that -2*i + w*i**2 + 5/3 = 0.
1, 5
Let s(c) = -5*c**2 - 7*c + 9. Let u be s(3). Let g = -53 - u. Solve 1 - h**3 - 1 + 21*h**4 - 19*h**g = 0.
0, 1/2
Let r(c) be the first derivative of -c**3/9 - 12*c**2 - 140*c/3 + 202. Suppose r(f) = 0. What is f?
-70, -2
Let g be 0/(-4)*(-12)/24. Let q be (-64 + 63)/(-1*(2 + g)). Determine l, given that 5*l**2 - 17/2*l - q*l**3 + 4 = 0.
1, 8
Let d(a) be the first derivative of 15*a**2 + 25*a + 80 + 7/4*a**3 + 1/16*a**4. Factor d(r).
(r + 1)*(r + 10)**2/4
Let i(y) be the third derivative of 5*y**4/8 + 20*y**3 + 6*y**2 + 14. Let b be i(-8). What is h in 1/3*h**2 + 7/3*h + b = 0?
-7, 0
Let z(n) be the third derivative of -n**6/96 + 1349*n**5/16 - 9099005*n**4/32 + 12274557745*n**3/24 - 330*n**2 + 3. Let z(w) = 0. What is w?
1349
Let q = -446520 - -446522. Factor 132*b + 47/4*b**q + 1/4*b**3 - 144.
(b - 1)*(b + 24)**2/4
Suppose -4*d = -77 + 61. Let h(i) = 6*i**3 - 18*i + 15. Let q(o) = 7*o**3 - 17*o + 14. Let n(l) = d*h(l) - 3*q(l). Factor n(r).
3*(r - 2)*(r - 1)*(r + 3)
Let j(x) be the first derivative of -2*x**5/5 - 79*x**4/2 - 2794*x**3/3 - 2561*x**2 - 2484*x - 750. Suppose j(y) = 0. Calculate y.
-54, -23, -1
Let q = 148 + -163. Let x(d) = d**2 + 13*d - 28. Let y be x(q). Solve -4/5*t + 3/5 + 1/5*t**y = 0.
1, 3
Let l(q) be the third derivative of -75*q**2 + 0*q - 17/24*q**3 - 3/16*q**4 + 0 - 1/240*q**5. Suppose l(f) = 0. What is f?
-17, -1
Let a(l) = -14*l**2 - 1459*l - 298. Let q be a(-104). Let p = -6244/3 + 2104. Factor -q*k + 10/3 + 6*k**4 + p*k**2 - 52/3*k**3 - 2/3*k**5.
-2*(k - 5)*(k - 1)**4/3
Let n(c) be the third derivative of -c**5/630 + 31*c**4/252 + 22*c**3/21 + 637*c**2. Factor n(r).
-2*(r - 33)*(r + 2)/21
Let h be 4/(-42) + (-5489)/(-64911). Let u = 4227/1124 + h. Factor -9/4*t**2 + 3/4*t**5 + 0*t + 21/4*t**3 + 0 - u*t**4.
3*t**2*(t - 3)*(t - 1)**2/4
Suppose -21*a + 16*a - 115 = 0. Let u = a + 23. Factor u*q**3 + 40 + 10*q**2 + 15*q**3 + 2*q**4 - 60*q - 7*q**4.
-5*(q - 2)**2*(q - 1)*(q + 2)
Let b(z) be the second derivative of 2*z**7/21 + 43*z**6/5 - 236*z**5/5 + 93*z**4/2 + 470*z**3/3 - 408*z**2 + 6430*z. What is c in b(c) = 0?
-68, -1, 1, 3/2, 2
Factor 36/11*x**2 + 58*x - 2/11*x**3 + 0.
-2*x*(x - 29)*(x + 11)/11
Let l(o) be the third derivative of -5*o**5/12 - 2035*o**4/72 - 15*o**3 - 1535*o**2. Factor l(h).
-5*(h + 27)*(15*h + 2)/3
Let j(t) = t**3 + 11*t**2 - 9*t + 58. Let d be j(-12). Solve -d + 86 - 94*o - 27 - 14*o**2 - 9 = 0.
-7, 2/7
Let w(d) = 21*d - 165. Let j be w(8). Solve -322*r + 310*r - r**j - 9*r**2 + 2*r**3 + 20 = 0.
-2, 1, 10
Let j(o) be the first derivative of -o**6/3600 + o**5/120 + 14*o**3/3 + 3*o + 109. Let u(p) be the third derivative of j(p). Factor u(c).
-c*(c - 10)/10
Let x(j) be the second derivative of -3/40*j**5 - 27/2*j**4 - 34992*j**2 - 972*j**3 - 35 + 2*j. Factor x(m).
-3*(m + 36)**3/2
Let j be ((-3)/6)/((-6)/168). Suppose 4*i + j = -h, -2*i = -4*h + 54 - 38. Factor -8/7 - 4/7*v**h - 20/7*v + 8/7*v**3.
4*(v - 2)*(v + 1)*(2*v + 1)/7
Let f(o) be the second derivative of o**6/288 + 7*o**5/96 + 5*o**4/16 - o**3/2 + 2*o**2 - 80*o. Let g(k) be the second derivative of f(k). Factor g(n).
5*(n + 1)*(n + 6)/4
Factor 38*g**4 - 18*g**4 - 42*g - 6*g**4 - 16*g**4 + 22*g**2 - 46*g**3 - 108*g**2.
-2*g*(g + 1)**2*(g + 21)
Let g(f) be the second derivative of -1/21*f**4 - 1/21*f**3 + 2/7*f**2 + 1/70*f**5 - 1 + 7*f. Find r such that g(r) = 0.
-1, 1, 2
Factor -192/5 - 8/5*q + 2/5*q**2.
2*(q - 12)*(q + 8)/5
Let v(o) be the third derivative of 625*o**8/42 + 140*o**7/3 + 767*o**6/20 - 49*o**5/15 + o**4/12 + 46*o**2 - 11*o. Factor v(x).
2*x*(x + 1)**2*(50*x - 1)**2
Let k(d) = -d**3 + d**2 - 3*d + 2. Let u(a) = 4*a**3 - 27*a**2 + 30*a + 40. Let o(y) = 3*k(y) + u(y). Factor o(b).
(b - 23)*(b - 2)*(b + 1)
Let q(x) be the first derivative of 2*x**3/9 - 466*x**2/3 + 310*x - 690. Factor q(h).
2*(h - 465)*(h - 1)/3
Factor 28/3*x**2 + x**3 - 308/3*x + 64.
(x - 6)*(x + 16)*(3*x - 2)/3
Let w = 4013 + -4010. Let g(n) be the third derivative of -1/15*n**4 - 1/150*n**5 + 0*n**w - 8*n**2 + 0*n + 0. Determine s so that g(s) = 0.
-4, 0
Let i(r) = -13*r**2 + 12*r + 7. Suppose -5*b + 33 = 143. Let j be (-4)/24*b + (-2)/(-6). Let q(z) = -7*z**2 + 6*z + 4. Let l(n) = j*i(n) - 7*q(n). Factor l(t).
-3*t*(t - 2)
Suppose 13*d + 6 = 11*d. Let o be (8 + -2 - 2) + -2 - d. Solve 5*h**o - 27*h - 10*h**4 - 10*h**3 + 2*h - 10*h + 40*h**2 + 10 = 0.
-2, 1
Let s(a) = 12*a - 693. Let z be s(58). Let c(o) = -o**3 + 8*o**2 + o + 1. Let d be c(8). Solve d*p**z - 3*p**3 - 3*p**4 - 6*p**5 + 0*p**3 - 3*p**5 = 0 for p.
-1, 0, 2/3
Let a(s) be the first derivative of s**4/10 + 154*s**3/15 + 296*s**2/5 + 584*s/5 + 3807. Factor a(d).
2*(d + 2)**2*(d + 73)/5
Let s(k) = 44*k**2 - 165*k + 1288. Let n(p) = -16*p**2 + 3*p. Let a(t) = 3*n(t) + s(t). Find h such that a(h) = 0.
-46, 7
Let v be -10 + (4/(-48)*-39 - (-3010)/430). Suppose 0 - v*h**4 + 0*h + 1/4*h**2 - h**5 + h**3 = 0. Calculate h.
-1, -1/4, 0, 1
Let t(a) be the first derivative of -113 + 0*a + 2/21*a**3 + 1/7*a**2 - 1/14*a**4 - 2/35*a**5. Solve t(z) = 0 for z.
-1, 0, 1
Let v(n) = 2*n**4 + 4*n**3 - n**2 - n - 1. Let b(w) = 5*w**4 + 164*w**3 + 6232*w**2 + 11394*w - 17789. Let o(x) = -b(x) + 2*v(x). Factor o(g).
-(g - 1)*(g + 3)*(g + 77)**2
Find g such that 15340*g**3 + 116*g**5 + 2644*g - 5382*g - 5344*g**3 + 400*g**2 - 400*g**4 - 112*g**5 - 7262*g = 0.
-1, 0, 1, 50
Find d, given that -2016/13 + 744/13*d - 80/13*d**2 + 2/13*d**3 = 0.
6, 28
Suppose 4*x = 4*o +