ose d(z) = 0. Calculate z.
-491
Let x = -78479 - -313919/4. Determine z so that -3/8*z**3 + 3/8*z + x - 3/4*z**2 = 0.
-2, -1, 1
Let h = -1/442 - -10195/12818. Let f = h - 86/145. Let -9/5*d + f*d**3 - 3/5*d**2 - 1 = 0. What is d?
-1, 5
Let f(h) be the third derivative of h**7/1470 - 3*h**6/28 + 263*h**5/420 - 29*h**4/28 + 9*h**2 + 14*h. What is s in f(s) = 0?
0, 1, 2, 87
Solve -8626*x - 7110*x - 4140 - 125*x**4 + 9315*x - 10206*x - 5513*x - 33095*x**2 - 9100*x**3 = 0.
-69, -3, -2/5
Suppose -2*m + 18 = 4*m. Suppose 0 = 2*v + 1 - m, 2*l - 5*v = 1. Factor -2 - g - 4*g**3 - 4*g**l + g**2 + g**2 + 9*g**3.
(g - 1)*(g + 1)*(g + 2)
Suppose -22/9*b**2 - 388/9*b + 16 = 0. Calculate b.
-18, 4/11
Let w be ((-25290)/2200 + 9)*2. Let t = 9/22 - w. Factor 144/5*i**3 + t*i**4 + 48/5 + 264/5*i**2 + 192/5*i.
3*(i + 2)**2*(3*i + 2)**2/5
Suppose -12/5*z - 2*z**4 + 2*z**3 + 0 + 2/5*z**5 + 2*z**2 = 0. Calculate z.
-1, 0, 1, 2, 3
Suppose -45*p + 32 - 31 + 17 + 2 + 10*p**2 = 0. What is p?
1/2, 4
Let v be (-369)/82*(-1 - 0 - 1). Suppose 0 = -a + 6 + 114. Let v*u**3 - a*u**2 - 10 - 43*u**3 - u**3 - 10*u**3 - 65*u = 0. Calculate u.
-2, -1/3
Let b = -722 + 440. Let n = -280 - b. Factor -25/4*s**3 + 0 - 5*s - 5/4*s**4 - 10*s**n.
-5*s*(s + 1)*(s + 2)**2/4
Factor -15/2*j**2 + 1/4*j**4 + 0 - 18*j + 1/4*j**3.
j*(j - 6)*(j + 3)*(j + 4)/4
Let f(q) be the second derivative of 13*q + 1/50*q**5 + 3 - 3/5*q**2 + 1/10*q**4 - 1/15*q**3. Let f(j) = 0. What is j?
-3, -1, 1
Suppose 2*j + 4 = 0, 5*t = -0*j - 5*j. Let g(b) be the first derivative of -b**t - 9/2*b**4 + 0*b - 2/3*b**6 - 14/5*b**5 + 11 - 10/3*b**3. Factor g(z).
-2*z*(z + 1)**3*(2*z + 1)
Suppose 17*u - 21*u + 20 = 0. What is y in 3*y**3 - 2*y - 7*y**2 - 6*y**3 + 8*y - 2*y**2 + 9*y**4 - 3*y**u = 0?
-1, 0, 1, 2
Let n(c) = -5*c**2 - 5*c**2 - c**2 + 27 + 3*c - c - 8. Let m(t) = -13*t**2 + 3*t + 22. Let x(j) = 5*m(j) - 6*n(j). Find o such that x(o) = 0.
-4, 1
Suppose -5*z - 7 = -27, -n + 2 = -2*z. Suppose 5*l - 10*l = -n. Solve -140*v + 120 + 15*v**3 + 30*v**2 - 40*v**4 + 35*v**4 + 0*v**l = 0.
-3, 2
Let q(o) be the first derivative of -o**5/30 + 7*o**4/12 - 19*o**3/6 + 19*o**2/3 - 16*o/3 + 73. What is t in q(t) = 0?
1, 4, 8
Let j(m) be the second derivative of -m**6/45 - 3*m**5/20 - 25*m**4/72 - m**3/3 - 9*m**2 - 7*m. Let k(w) be the first derivative of j(w). Factor k(r).
-(r + 1)*(r + 2)*(8*r + 3)/3
Let a(q) be the third derivative of q**6/480 - 2513*q**5/240 + 2313*q**2 - 3*q. Factor a(g).
g**2*(g - 2513)/4
Let y = 232507/145320 + 1/29064. Factor 16/5 - 4*w + 2/5*w**4 + y*w**3 - 6/5*w**2.
2*(w - 1)**2*(w + 2)*(w + 4)/5
Factor -463 + 826 + 357*b + 11*b**2 - 24*b**2 + 7*b**2.
-3*(b + 1)*(2*b - 121)
Let h(c) be the third derivative of 0 + 0*c - 1/15*c**5 + 40/3*c**3 + 19*c**2 - 19/6*c**4. Determine n, given that h(n) = 0.
-20, 1
Let l = -988 - -990. Factor -118*d**3 + 7*d**4 + 405*d**l - 2*d**4 + 28*d**3.
5*d**2*(d - 9)**2
Suppose 2*p + 77 + 8 = 5*k, -p - 34 = -2*k. Suppose -5*i - 26*i = k*i. Find h, given that h + i + 11/2*h**2 = 0.
-2/11, 0
Let s(w) = -12*w**4 + 473*w**3 - 1171*w**2 - 364*w - 8. Let x(i) = 16*i**4 - 631*i**3 + 1561*i**2 + 487*i + 11. Let g(f) = 11*s(f) + 8*x(f). Solve g(c) = 0.
-1/4, 0, 3, 36
Let g be (-26)/169 + ((-3)/(-39)*-56)/(-2). Let x(i) be the third derivative of -18*i**g + 0 + 0*i**3 - 1/210*i**5 + 0*i - 1/42*i**4 + 1/420*i**6. Factor x(h).
2*h*(h - 2)*(h + 1)/7
Let v be (-16)/20*(-750)/20. Let o(y) be the first derivative of 5/2*y**2 + 5 + 5/3*y**3 - v*y. Factor o(w).
5*(w - 2)*(w + 3)
Suppose -169*y + 544 = -153*y. Suppose 280*q + 27*q**2 - 21*q**3 + 300 + 65*q + y*q**4 - 102*q**4 + 33*q**4 + 32*q**4 = 0. Calculate q.
-5, -1, 4
Factor 0*t**3 + 256/9*t - 32/3*t**2 + 0 + 2/9*t**4.
2*t*(t - 4)**2*(t + 8)/9
Let k = 129 + -121. Solve 27*h**2 + k*h**2 - 35*h - 30 - 10*h**2 = 0 for h.
-3/5, 2
Let s(w) be the third derivative of w**7/735 - 31*w**6/1260 + 13*w**5/105 + 11438*w**2. Solve s(o) = 0 for o.
0, 13/3, 6
Suppose 4*n - 10 = 2*w, 2*n = -2*n - 3*w + 15. Let -618*t**5 + 620*t**5 + 162*t**n - 35*t**4 + 22*t**4 - 23*t**4 = 0. What is t?
0, 9
Let u(h) be the second derivative of h**4/3 - 1336*h**3/3 - 1338*h**2 - 11623*h. Factor u(y).
4*(y - 669)*(y + 1)
Let x(g) = -5*g**2 - 6 + g**2 + 0*g**2 - 2*g - g**3. Let k be x(-4). Let -9*r**3 - 5*r**2 + 4*r**k - 6*r**2 + 2*r = 0. What is r?
-1, 0, 2/9
Let a(q) = q**2 - 6. Let b be a(3). Suppose b*z + r = 9, 3*z - r + 0 = 3. Solve -50 - 84*p + 3*p**z + 20 + 93*p = 0.
-5, 2
Suppose 5*n = -4*i + 33, -3*i + n = -6*i + 11. Let g(h) be the first derivative of 2/3*h**3 + 6*h**i + 33 + 0*h. Find w such that g(w) = 0.
-6, 0
Factor -3/4*q**2 + 183/2 - 177/4*q.
-3*(q - 2)*(q + 61)/4
Let i(u) be the third derivative of u**5/140 + 305*u**4/28 + 93025*u**3/14 - 1879*u**2. Determine d so that i(d) = 0.
-305
Suppose -1344 - 32*a + 68/3*a**2 + 4/3*a**3 = 0. Calculate a.
-12, 7
Let d be (89 + -99)*(-13 + (-127)/(-10)). Factor -d*i**4 - 60*i - 84*i**2 + 0 + 3/4*i**5 - 36*i**3.
3*i*(i - 10)*(i + 2)**3/4
Suppose -59780 = -31*a + 11*a. Let h be a/366 - (-4)/(-6). Solve h*u**2 - 5/2*u**3 + 5/2 - 15/2*u = 0.
1
Suppose 7*w = -4*c + 4, -211 + 177 = -w + 5*c. Find o such that -15/7*o**w - 15/7*o**2 + 0 - 78/7*o**3 + 0*o = 0.
-5, -1/5, 0
Let m(q) = -7*q + 25. Suppose 0 = -65*l + 54*l + 33. Let v be m(l). Factor -3/5*k**v + 0 + 0*k + 1/5*k**5 + 4/5*k**2 + 0*k**3.
k**2*(k - 2)**2*(k + 1)/5
Find d, given that -14/5*d**5 - 1176/5 - 148/5*d**4 + 572*d**2 + 24/5*d**3 + 1526/5*d = 0.
-7, -1, 3/7, 4
Let l(x) be the first derivative of -15*x**3 + 170*x**2 - 295*x + 5028. Suppose l(u) = 0. What is u?
1, 59/9
Suppose 74 = -4*i - p, 28 = -3*i - p - 28. Let z be 34/85 - i/5. Factor 2*g**5 - 211*g**4 - 2 + 103*g**4 + 2*g + 4*g**2 - z*g**3 + 106*g**4.
2*(g - 1)**3*(g + 1)**2
Let p(l) be the first derivative of -l**3/12 - 111*l**2/4 + 226*l + 7524. Factor p(g).
-(g - 4)*(g + 226)/4
Suppose 35 = 3*p - 2*x, 4*p - x - 2317 = -2287. Suppose 0 + 2*z + 1/5*z**p + 13/5*z**2 - z**4 - 3/5*z**3 = 0. Calculate z.
-1, 0, 2, 5
Let y(u) = 1838*u + 9193. Let h be y(-5). Factor 2/11*t**h + 0 + 8/11*t**2 + 6/11*t.
2*t*(t + 1)*(t + 3)/11
Suppose 236 - 104 = 33*i. Let x(q) be the third derivative of 0*q**5 + 0*q**3 - 12*q**2 + 1/140*q**7 + 0*q**i + 0*q + 5/672*q**8 + 0 - 1/120*q**6. Factor x(w).
w**3*(w + 1)*(5*w - 2)/2
Let u(r) = -r**2 - 1102*r + 2208. Let d be u(2). Factor 0 + 3/2*g**2 + 3*g**3 + 3/2*g**4 + d*g.
3*g**2*(g + 1)**2/2
Let g = 85893 - 601249/7. Factor -108/7*o - 1458/7 - g*o**2.
-2*(o + 27)**2/7
Let f = 369 + -356. Suppose -2*w - 7 = -5*j + f, 4*w + 12 = -4*j. Factor 2/3 + i + 1/3*i**j.
(i + 1)*(i + 2)/3
Suppose 5*z = 5*a + 20, -3*a - 37 + 28 = -2*z. Let m(v) be the first derivative of 0*v**2 + 11 - 3/5*v**5 - 3*v + 2*v**z + 0*v**4. Let m(b) = 0. Calculate b.
-1, 1
Let b(l) be the first derivative of -5*l**4/4 - 55*l**3/3 - 70*l**2 + 465. Determine t, given that b(t) = 0.
-7, -4, 0
Let x(j) be the second derivative of -j**5/5 + 134*j**4/3 - 262*j**3/3 - 532*j**2 + 8822*j. Factor x(s).
-4*(s - 133)*(s - 2)*(s + 1)
Let m(i) be the second derivative of -i**6/6 - 197*i**5/2 - 1930*i**4 - 46000*i**3/3 - 61120*i**2 + 228*i + 14. Factor m(c).
-5*(c + 4)**3*(c + 382)
Let t(r) be the second derivative of 5/6*r**4 + 4*r**2 + 0 - 8/3*r**3 + 93*r - 1/10*r**5. Let t(u) = 0. What is u?
1, 2
Let v = 16 + -43. Let a = v + 27. Suppose 20*s**2 + 3*s**3 - 19*s**3 + s + 4*s**4 - 9*s + a*s**4 = 0. Calculate s.
0, 1, 2
Let c be (-18)/(-8)*((-48682)/5454 - (2 + -11)). What is k in -5/6*k - c*k**2 + 1/6*k**3 - 1/2 = 0?
-1, 3
Let o(l) be the second derivative of -l**4/72 - 131*l**3/36 + 133*l**2/6 + 12790*l. Let o(f) = 0. Calculate f.
-133, 2
Let l(j) = -11271*j - 146520. Let y be l(-13). Solve -32/5 - 48/5*c**2 + 34/5*c**y - 104/5*c + 2*c**4 = 0 for c.
-4, -1, -2/5, 2
Let g(q) be the first derivative of q**6/12 + 379*q**5/10 - 381*q**4/4 + q**3/3 + 761*q**2/4 - 381*q/2 + 8291. Factor g(j).
(j - 1)**3*(j + 1)*(j + 381)/2
Let x be (3/(-2)*100/(-1050))/((-24)/(-24)). Factor 0 + 0*h + 6/7*h**2 + 1/7*h**3 - x*h**4.
-h**2*(h - 3)*(h + 2)/7
Let -1150*f**4 - 26912 + 2312*f**4 - 460*f**3 + 14384*f - 1158*f**4 + 12984*f**2 = 0. Calculate f.
-2, 1, 58
Let k(f) be the first derivative of -f**6/150 + f**5/15 - f**4/5 - 11*f**2/2 + 110. Let t(a) b