et w be -2 + (-4 - -19) - (-7397)/(-569). Factor w*o - 5/6*o**2 + 40/3.
-5*(o - 4)*(o + 4)/6
Factor k**2 + 224 + 27*k - 56 - 16.
(k + 8)*(k + 19)
Suppose 11*d = 8390 - 1097. Solve d*c - 184*c**2 - 148*c**4 + 352 - 29*c**3 - 140*c**4 - 481*c - 743*c**3 - 20*c**5 + 730*c = 0 for c.
-11, -2, -2/5, 1
Suppose 348 - 9/2*y**2 - 2085/2*y = 0. Calculate y.
-232, 1/3
Suppose -2*c = 4*s + 13 - 1, 2*s + 16 = 4*c. Let o be 172/13 + s - 8. Factor -18/13 + o*d + 2/13*d**2.
2*(d - 1)*(d + 9)/13
Let u(s) = -65*s + 2. Let c be u(0). Suppose c*x + j - 10 = 0, -21*x + 5*j = -17*x + 8. Factor x*q - 5/2 - 1/2*q**2.
-(q - 5)*(q - 1)/2
Let p = -140322/11 - -12758. Solve 10/11*a**4 + 68/11*a + 16/11*a**3 - p - 78/11*a**2 = 0 for a.
-4, 2/5, 1
Let k(g) = -g + 10. Let t be k(8). Let z = 990 - 987. Suppose 0 + z*d**3 - 10 - 3*d**t + 13 - 3*d = 0. What is d?
-1, 1
Find s, given that 17730*s**2 + 16224 + 27144*s + 54*s**5 + 882*s**4 + 11307/2*s**3 = 0.
-4, -13/6
Let o(q) be the second derivative of 0*q**2 + 36*q + 1/50*q**5 + 4/3*q**4 + 80/3*q**3 + 1. Suppose o(d) = 0. What is d?
-20, 0
Let z be (-3)/(-6)*-2*14. Let k be (-3)/4*(z + -6). Factor 12 - 5*h**2 - k*h - 2*h**2 + 10*h**2.
3*(h - 4)*(h - 1)
Factor -558/7*x**3 + 555/7*x**2 + 0*x + 0 + 3/7*x**4.
3*x**2*(x - 185)*(x - 1)/7
Let m(o) be the third derivative of 0*o - 3/5*o**5 + 200/3*o**3 - 1/60*o**6 + 0 - 5*o**4 - 252*o**2. Determine h, given that m(h) = 0.
-10, 2
Let v = -31 - -34. Suppose -571 = -5*u - v*t, 3*t = -u + 4*t + 111. Find o, given that -u*o**2 + 0 + 64*o**2 + 13*o**2 + 24 + 100*o = 0.
-2/9, 3
Let t(a) = -a**2 + 3*a + 1. Let u be t(1). Factor -k**4 + 110*k**3 + 2*k + 1 + 103*k**u - 215*k**3 + 0*k**4.
-(k - 1)*(k + 1)**3
Let w(x) be the first derivative of -x**4/10 + 22*x**3/15 + 24*x**2/5 - 288*x/5 - 3047. Find u such that w(u) = 0.
-4, 3, 12
Let x(h) = 22*h**3 - 20*h**3 - h**4 - h**2 + 4*h**2. Let f(k) = k**2 - 3*k - 6. Let w be f(4). Let s(j) = -j**3 - j. Let n(l) = w*s(l) - x(l). Factor n(a).
a*(a - 1)**2*(a + 2)
Let n = -6277 - -6280. Let o(x) be the third derivative of 11/64*x**4 + 1/10*x**5 + 7/320*x**6 + 1/8*x**n + 0 + 0*x - 21*x**2. Factor o(j).
3*(j + 1)**2*(7*j + 2)/8
Let j(m) = 103*m - 8958. Let b be j(87). Suppose 1/8*c**b - 5/4*c**2 + 17/8*c - 1 = 0. What is c?
1, 8
Suppose -7/4*t + 39/2 - 1/4*t**3 - 7/2*t**2 = 0. Calculate t.
-13, -3, 2
Suppose z**4 - 873*z**2 + 953 + 1605*z + 75*z**3 + 174 + 2*z**4 + 1423 = 0. What is z?
-34, -1, 5
Let r(b) be the first derivative of 2*b**5/25 + b**4 + 34*b**3/15 + 8*b**2/5 + 2651. Find p such that r(p) = 0.
-8, -1, 0
Let x be 1/(-5) - -4*(-6)/(-120). Let l(h) be the third derivative of -1/6*h**4 + 0*h**3 + 0 + 0*h**6 + 1/105*h**7 + 12*h**2 + x*h - 1/10*h**5. Factor l(t).
2*t*(t - 2)*(t + 1)**2
Let w(x) be the second derivative of -12*x**4 - 302*x**3/3 + 80*x**2 - 4700*x. Factor w(u).
-4*(4*u - 1)*(9*u + 40)
Let v(k) = 10*k**4 - 12*k**3 + 26*k**2 - 22*k + 4. Let x(m) = -14*m**4 + 12*m**3 - 27*m**2 + 23*m - 3. Let q(s) = 3*v(s) + 2*x(s). Factor q(i).
2*(i - 3)*(i - 1)**3
Suppose -46*y + 72*y - 104 = 0. Let f be y/6 + (-316)/(-237). Suppose -32/9 - 28/9*g + 4/9*g**f = 0. What is g?
-1, 8
Let t be -1*(-5 + -32 + 5). What is g in -40 - 28*g**3 + 18 + t*g**3 - 24*g**2 + 22 + 32*g = 0?
0, 2, 4
Let v be (-9)/((-4)/((-32)/(-24))). Let h be -1*0/(7 - v). Factor 0*d**2 + h*d**4 - 4/13*d**3 + 2/13*d**5 + 0 + 2/13*d.
2*d*(d - 1)**2*(d + 1)**2/13
Let y(o) be the first derivative of o**6/66 - 21*o**5/55 + 13*o**4/4 - 101*o**3/11 - 72*o**2/11 + 324*o/11 + 172. Let y(g) = 0. Calculate g.
-1, 1, 6, 9
Let v = 179 - 175. Let -124*i**2 + 72*i - 35*i**3 - 67*i**4 - 10 + 27*i**3 + 80*i**3 + 57*i**v = 0. What is i?
1/5, 1, 5
Let b(k) be the second derivative of -k**4/12 + 43*k**3/6 - 14*k**2 + 4*k. Let j be b(20). What is d in -81*d + j + 37*d**2 + 9*d - 34*d**2 = 0?
12
Let -1303 - 4702 + 300 + s**3 - 1055 + 1209*s + 0*s**3 - 66*s**2 = 0. What is s?
13, 40
Let x(z) be the first derivative of z**6/2340 + z**5/65 + 3*z**4/13 - z**3/3 + 5*z**2/2 + 93. Let t(r) be the third derivative of x(r). Factor t(c).
2*(c + 6)**2/13
Let a be -5*((-189)/35)/9. What is n in 2*n**5 - 6*n**3 + 3*n**a + 4*n - 5*n**3 + 2*n**5 = 0?
-1, 0, 1
Let u(i) = -1950*i - 29246. Let d be u(-15). Factor -16/7 - 22/7*x**2 + 2/7*x**d + 0*x**3 + 36/7*x.
2*(x - 2)*(x - 1)**2*(x + 4)/7
Let r(l) be the first derivative of -3*l**4/4 + l**3/3 + 7*l**2/2 + 3*l + 45. Let d(y) = 7*y**3 - 2*y**2 - 16*y - 7. Let s(x) = 4*d(x) + 9*r(x). Factor s(q).
(q - 1)*(q + 1)**2
Let f be ((-23776)/(-280) - 8*9/(-90))/(9/280). Suppose -f - 848/3*c**3 - 4640/3*c**2 - 68/3*c**4 - 10400/3*c - 2/3*c**5 = 0. Calculate c.
-10, -2
Let l be 455/(-980) + (-1 - (-35)/20). Factor -l*k**2 + 0 + 0*k + 3/7*k**3 - 1/7*k**4.
-k**2*(k - 2)*(k - 1)/7
Let h be 21/35*7*40/36. Let j(y) be the first derivative of 2*y**5 + 11 + h*y**3 + 0*y + 2*y**2 + 1/3*y**6 + 9/2*y**4. Find g such that j(g) = 0.
-2, -1, 0
What is q in 452 - 5333*q + 3*q**2 + 2968 + 2735*q + 2829*q = 0?
-57, -20
Let k(j) = 28*j**2 + 360*j - 1108. Let n(c) = -18*c**2 - 238*c + 736. Let o(s) = 5*k(s) + 8*n(s). Determine i so that o(i) = 0.
-29, 3
Let x(k) = -26*k**3 - 62*k**2 + 102*k + 150. Let h(g) = -2*g**3 - g**2 - g - 1. Let s(z) = 12*h(z) - x(z). Factor s(n).
2*(n - 3)*(n + 1)*(n + 27)
Let c(u) be the first derivative of -60 - 1/12*u**3 + 0*u + u**2. Determine r so that c(r) = 0.
0, 8
Let z(g) be the second derivative of 3*g**6/80 - 11*g**5/40 - 3*g**4/8 + 2*g**3 - 37*g**2 + 21*g + 1. Let i(f) be the first derivative of z(f). Factor i(b).
3*(b - 4)*(b + 1)*(3*b - 2)/2
Factor -50*t**2 + 49*t - 64 + 15*t + 16*t**2 - 4*t**3 + 21*t**2 + 17*t**2.
-4*(t - 4)*(t - 1)*(t + 4)
Let m(h) be the second derivative of -h**6/10 - 237*h**5/100 - 259*h**4/20 + 11*h**3/2 - 2*h + 655. Suppose m(p) = 0. What is p?
-11, -5, 0, 1/5
Let t(b) = -3*b**3 + 3*b**2 - 57*b. Let o(p) = 3*p**3 + 10*p**2 + 58*p. Let j(r) = 3*o(r) + 2*t(r). Factor j(d).
3*d*(d + 2)*(d + 10)
Let h(w) be the second derivative of -5/18*w**4 - 1/30*w**5 - 12*w**2 + 32/9*w**3 + 79*w + 0. Factor h(g).
-2*(g - 2)**2*(g + 9)/3
Let d(r) = -r**2 - 17*r + 42. Let w be d(-19). What is c in 1 + w*c**4 - 9*c**3 + 12*c**3 - 3*c + 251*c**2 - 256*c**2 = 0?
-1, 1/4, 1
Let o(a) be the first derivative of a**4/22 - 40*a**3/33 + 7*a**2 + 44*a + 1595. Suppose o(u) = 0. Calculate u.
-2, 11
Let h(s) be the second derivative of s**6/840 - 11*s**5/140 + 86*s**3/3 + s**2/2 - 30*s. Let q(u) be the second derivative of h(u). Factor q(g).
3*g*(g - 22)/7
Let b(g) = -39*g**3 - g**2 - 5*g + 5. Let x(r) = -47*r**3 - 2*r**2 - 6*r + 6. Let l(t) = -6*b(t) + 5*x(t). Factor l(y).
-y**2*(y + 4)
Suppose -100/7*q**4 - 6/7*q**5 + 482/7*q - 284/7*q**3 - 156/7 + 64/7*q**2 = 0. What is q?
-13, -3, -2, 1/3, 1
Let p(y) = 2*y**2 - 5*y - 12. Let x be p(4). Let u(f) be the third derivative of 4/3*f**3 + x + 21*f**2 + 0*f**4 - 1/30*f**5 + 0*f. Suppose u(l) = 0. What is l?
-2, 2
Let s(f) be the first derivative of -3*f**2 - 1/72*f**4 + 7*f + 1 - 1/3*f**3. Let t(u) be the first derivative of s(u). Factor t(w).
-(w + 6)**2/6
Let h(x) be the first derivative of -4*x**5/5 + 40*x**4 - 628*x**3 + 2808*x**2 - 3888*x + 1041. Find w such that h(w) = 0.
1, 3, 18
Let z = -1/17055 - -85279/68220. Solve -1/4*c**2 - 3/2 + z*c = 0.
2, 3
Factor 26/3*h - 1/6*h**2 - 176/3.
-(h - 44)*(h - 8)/6
Let h(b) be the third derivative of -b**5/90 - 1031*b**4/18 - 1062961*b**3/9 - 2445*b**2 - 2. Factor h(v).
-2*(v + 1031)**2/3
Let w(q) = 58*q + 62. Let i be w(8). Let h = -524 + i. Factor -14/3*v**h + 49/3*v**3 + 1/3*v + 0.
v*(7*v - 1)**2/3
Determine q so that 116503*q**2 - 58248*q**2 - 1521 + 78*q - 58256*q**2 = 0.
39
Let a(q) = 2*q**3 + 7*q**2 - 5. Let l(g) = -g**3 - g**2 + 1. Let u be (-5)/10 + (-14)/4. Let d be (-4)/(-3)*(-9)/u. Let x(b) = d*a(b) + 15*l(b). Factor x(m).
-3*m**2*(3*m - 2)
Let n = 57/116 - 64/145. Let a(y) be the third derivative of -3/32*y**4 + n*y**5 - 1/8*y**3 + 0 + 19*y**2 + 0*y. Let a(b) = 0. Calculate b.
-1/4, 1
Let w(v) be the third derivative of 5/2*v**4 + 0 + 1/42*v**7 + 7/24*v**6 + 0*v - 43*v**2 + 4/3*v**5 + 0*v**3. Factor w(x).
5*x*(x + 2)**2*(x + 3)
Suppose 2*s = h + 51, -5*h - 46 + 7 = -s. Suppose -29*n + s*n - 3*d + 16 = 0, 5*n = 4*d + 2. Factor 2/5*p + 2/15*p**n + 4/15.
2*(p + 1)*(p