6*q**2 + 0*q - 1/6*q**3 + 1/24*q**4. Let b(a) = 0. Calculate a.
0, 1, 2
Let g(q) be the first derivative of -q**5/5 - 59*q**4/12 - 31*q**3/9 + 131*q**2/6 - 38*q/3 + 4181. Determine x, given that g(x) = 0.
-19, -2, 1/3, 1
Suppose 39*k + 28*k + 4*k + 40 = 324. Factor 3/4*m**2 - 21/4*m**3 - 21/2 + 61/4*m - 1/4*m**k.
-(m - 1)**2*(m + 2)*(m + 21)/4
Let a be (51/30 + -2)*(208/(-3))/13. Factor -6/5*r**2 - 4/5*r**3 + 16/5*r - a + 2/5*r**4.
2*(r - 2)*(r - 1)**2*(r + 2)/5
Let q(j) = -10*j**2 + 102*j - 266. Let p(i) = -2*i**2 - 2*i - 5. Let o(a) = -6*p(a) + q(a). Let o(f) = 0. Calculate f.
-59, 2
Suppose 0 = -w - s - 3, 3*s = -4*w - 2*s - 11. Let f be 2/w*(-10 - (-8)/2). Factor 2*z**f - 12*z**2 - 55*z + 124*z - 51*z.
2*z*(z - 3)**2
Find b such that -16/9 + 4/3*b**2 + 2/9*b**4 + 8/9*b - 10/9*b**3 = 0.
-1, 2
Let u be 27/(-135) + 0 + (-163)/(-15). Let m be 17 + (6 - (11 - -5)) + -7. Factor -40/3*h + u*h**2 - 2/3*h**3 - 2/3*h**4 + m.
-2*h*(h - 2)**2*(h + 5)/3
Let n(d) = -18*d - 123. Let q(l) = -l**3 + 3*l**2 + 5*l + 18. Let s be q(5). Let r be n(s). Find g, given that 0 + 1/10*g**2 - 1/10*g**r + 0*g = 0.
0, 1
Let j = 144330 - 144328. Determine x so that -4 - 49/6*x - 13/3*x**j - 1/6*x**3 = 0.
-24, -1
Determine l, given that -137641/2 - 1/2*l**2 - 371*l = 0.
-371
Let l(q) be the third derivative of 1/672*q**8 + 0 - 1/48*q**6 + 1/40*q**5 + 0*q - 1/140*q**7 + 1/12*q**4 + 0*q**3 + 20*q**2. Factor l(m).
m*(m - 4)*(m - 1)*(m + 1)**2/2
Suppose -q - x + 13 = 0, 5*q - 69 = -14*x + 13*x. Let u(f) be the third derivative of q*f**2 + 0*f - 1/204*f**4 + 1/510*f**5 - 2/51*f**3 + 0. Factor u(v).
2*(v - 2)*(v + 1)/17
Let v(h) = 310*h**2 - 1227*h - 42. Let b be v(4). Factor 74/7*o**2 + 142/7*o + b + 2/7*o**3.
2*(o + 1)**2*(o + 35)/7
Let b be (-7)/((-364)/(-14724)) - -10. Let d = -273 - b. Find f such that -d*f**2 + 14/13*f + 0 = 0.
0, 7
Let a(f) be the first derivative of f**5/25 - 27*f**4/20 - 13*f**3/5 + 3287*f**2/10 + 6498*f/5 + 11976. Factor a(x).
(x - 19)**2*(x + 2)*(x + 9)/5
Suppose -3/2*s**4 - 96*s**3 - 540*s**2 - 696 - 1056*s = 0. Calculate s.
-58, -2
Let y = 239/130 - 19/130. Let x = y - 53/39. Suppose -14/3*m**2 + 2/3*m**3 + 7/3*m + 5*m**4 - x - 3*m**5 = 0. Calculate m.
-1, 1/3, 1
Let f(q) = 7*q + 237. Let g be f(-33). Suppose 12*k - 7*k = -2*v + 4, -3*k = -3*v + g. Factor 2/3*m**2 + 2/3*m + k.
2*m*(m + 1)/3
Suppose 0 = -4*t - 14 + 74. Suppose t = 5*l + 3*a - 36, 5*a = -3*l + 21. Factor -20*f**2 - 8*f + 19*f**3 - l*f - 24*f**3.
-5*f*(f + 2)**2
Find l such that -2352 - 1400*l + 50/3*l**3 - 457/3*l**2 - 1/3*l**4 = 0.
-3, 28
Let c be (-20)/8*(-592)/20 - (5 - 3). Let n(p) be the second derivative of 0 + 15*p - 1/3*p**4 - c*p**2 - 8*p**3. Find a such that n(a) = 0.
-6
Factor -35/8*j + 1/4*j**2 + 1/8*j**3 + 0.
j*(j - 5)*(j + 7)/8
Let i(j) be the second derivative of j**6/3240 - 7*j**5/135 + 98*j**4/27 - j**3/3 + 8*j**2 + 96*j. Let x(u) be the second derivative of i(u). Factor x(y).
(y - 28)**2/9
Let u(t) be the second derivative of -t**6/60 - 3*t**5/20 + 17*t**4/8 - 11*t**3/3 - 2665*t. Factor u(y).
-y*(y - 4)*(y - 1)*(y + 11)/2
Let h(s) be the third derivative of -1/30*s**5 + 5/12*s**4 + 0 + 0*s + 1/105*s**7 + 0*s**3 + 129*s**2 - 1/12*s**6. Factor h(z).
2*z*(z - 5)*(z - 1)*(z + 1)
Let t(v) be the second derivative of -v**4/18 + 110*v**3/9 + 37*v**2 - 3451*v. What is p in t(p) = 0?
-1, 111
Let i(o) be the third derivative of -o**7/840 + o**6/160 + o**5/60 - 513*o**2. Solve i(b) = 0.
-1, 0, 4
Factor 792*k**3 + 869*k**4 - 2*k**5 - 10*k**5 + 311*k**4.
-4*k**3*(k - 99)*(3*k + 2)
Let r(i) be the second derivative of 5/6*i**3 + 0*i**4 + 0*i**2 - 16*i + 0 - 1/60*i**5 - 1/180*i**6. Let w(v) be the second derivative of r(v). Factor w(o).
-2*o*(o + 1)
Find w such that 0 + 44/5*w**4 + 1408/5*w**2 + 2/15*w**5 + 2048/15*w + 2306/15*w**3 = 0.
-32, -1, 0
Let b(k) = 2*k + 12. Let f be b(-3). Let n(d) = -d**3 + 3*d**2 - 1. Let h be n(2). Suppose 4*a**2 + 2*a - 353*a**h - 4*a**4 + 357*a**3 - f*a = 0. Calculate a.
-1, 0, 1
Let g(a) = a**2 + 3*a. Let y be 5*(-5 - (-216)/40). Let q(d) = 2*d**2 + d. Let b(r) = y*q(r) + g(r). Factor b(v).
5*v*(v + 1)
Let q(r) = -r**3 + 6*r**2 - 18. Let f be q(5). Suppose -u = f*u - 16. Suppose -2*g + u*g + 4*g**4 - 2*g**4 + 4*g**3 - 2*g**2 - 4*g = 0. Calculate g.
-2, -1, 0, 1
Let -17*w + 4*w - 19*w + 960 + 172*w**2 - 176*w**2 = 0. Calculate w.
-20, 12
Suppose -7*t = 2123 + 1265. Let m = 484 + t. Suppose 0*o + 0*o**2 - 1/2*o**4 + 1/4*o**3 + m = 0. Calculate o.
0, 1/2
Suppose 109*z + d = 104*z + 474, 0 = 2*z + d - 186. Let 8*o**2 + 0 - 1/6*o**3 - z*o = 0. Calculate o.
0, 24
Let v(a) be the second derivative of -3*a**5/20 - 7*a**4/2 + 20*a**3 + 192*a**2 - 11035*a. Determine b so that v(b) = 0.
-16, -2, 4
Suppose 5*g + 9781 = 3*q, -3*q + 3*g + 8880 + 903 = 0. Find w, given that w**2 - q*w + 3262*w - 1 = 0.
-1, 1
Let p(h) be the first derivative of 0*h - 1/15*h**6 - 29 + 8/15*h**3 - 9/10*h**4 + 0*h**2 + 12/25*h**5. Factor p(i).
-2*i**2*(i - 4)*(i - 1)**2/5
Let a(u) be the third derivative of -u**6/540 + 2*u**5/15 - 23*u**4/36 + 15*u**3 + 169*u**2. Let v(l) be the first derivative of a(l). Let v(m) = 0. What is m?
1, 23
Let d be 1 - 151*7/(7/2). Let a be (-4)/(-30) + d/(-105). Factor 2*w**a - w**4 - 6*w**2 - 5*w**3 + 3*w**2 + 0*w**4 - w.
-w*(w + 1)**3
Let c(p) = 8*p**2 + 51*p + 70. Let n(t) = -20*t**2 - 128*t - 176. Let b(v) = 12*c(v) + 5*n(v). Factor b(o).
-4*(o + 2)*(o + 5)
Determine c, given that -1/5*c**4 + 81/5*c - 82/5 + 83/5*c**2 - 81/5*c**3 = 0.
-82, -1, 1
Let n = 157197 + -943177/6. Determine z so that 10/3*z**2 - n*z**3 + 5/2*z - 15 = 0.
-2, 3
Let q(f) be the third derivative of f**6/8 + 1247*f**5/20 + 869*f**4/4 + 248*f**3 - 5276*f**2. Let q(z) = 0. What is z?
-248, -1, -2/5
Let o be (-3)/((-4)/((-24)/(-9))). Let t = -379 - -382. Solve 10 - 10 + o*z**t + 3*z**3 - 5*z**2 = 0.
0, 1
Find x, given that -6846285 + 4132369 - 12616396 - x**2 - 4285729 - 10970*x + 2112*x = 0.
-4429
Let k be (-1280)/288 - (-5656)/252. Factor 2/3*x**3 + 18 + 6*x**2 + k*x.
2*(x + 3)**3/3
Factor 4/11*v**2 + 14/11*v**4 + 0*v + 0 - 30/11*v**3.
2*v**2*(v - 2)*(7*v - 1)/11
Let k(p) be the second derivative of -p**7/63 - 8*p**6/15 - 43*p**5/15 - 62*p**4/9 - 9*p**3 - 20*p**2/3 + p + 86. Factor k(m).
-2*(m + 1)**4*(m + 20)/3
Let w = -58 + 207. Let p = 151 - w. Let -2/3*o**3 + 2/3*o - 2/3*o**p + 2/3 = 0. What is o?
-1, 1
Let l = -142 + 144. Solve -19*p**l + 21*p**2 - 2 - 2 - 2*p = 0.
-1, 2
Factor 9 + 2*o**2 - 2 - 89*o - 7 - 235*o.
2*o*(o - 162)
Let z(i) = 6*i - 278. Let k be z(37). Let o be (-160)/k - ((-40)/35 - -1). Factor 1/5 - 1/5*x - 1/5*x**2 + 1/5*x**o.
(x - 1)**2*(x + 1)/5
Let d(x) = -x**2 + 5*x + 10. Let q be d(5). Let -q*n**3 - 48*n - 47*n + 135*n**2 + 12*n + 18*n = 0. What is n?
0, 1/2, 13
Let m be -35 - (654000/225)/(-80). Factor m + 5/3*d**2 - 4*d.
(d - 2)*(5*d - 2)/3
Let j(f) be the first derivative of -f**3/15 - 37*f**2/10 + 38*f/5 + 2078. Let j(a) = 0. Calculate a.
-38, 1
Determine x, given that 504*x + 2/7*x**2 + 222264 = 0.
-882
Let n(q) be the third derivative of q**5/90 - 11*q**4/9 - 5*q**3 - 30*q**2 + q + 23. Factor n(v).
2*(v - 45)*(v + 1)/3
Let f(o) = o**2 + 117*o - 116*o + 5 - 4. Let r(z) = -2*z**2 + z - 2. Let i(k) = 5*f(k) + r(k). Factor i(p).
3*(p + 1)**2
Let x(f) be the second derivative of 2/15*f**6 + 1/42*f**7 + 3/2*f**3 - f**4 + 0 - 1/10*f**5 + 40*f + 0*f**2. Solve x(y) = 0 for y.
-3, 0, 1
Let t = -97940 - -685582/7. Factor 0*f**2 + 0 - 2/7*f + t*f**3.
2*f*(f - 1)*(f + 1)/7
Let q(w) be the third derivative of -2*w**7/105 + 103*w**6/10 - 1581*w**5 - 24025*w**4/6 - 486*w**2. Factor q(c).
-4*c*(c - 155)**2*(c + 1)
Let u be ((-40)/12 + 4)/(2/12). Let h be u/8 - (25/5 + -6). Let 1/2*d**2 - d - h = 0. Calculate d.
-1, 3
Suppose 0 = -12*a + 17*a - 33*a. Let r be (a - 1) + 198/154. Determine f, given that r*f**3 + 24/7*f**2 + 100/7 + 90/7*f = 0.
-5, -2
Let f(i) be the second derivative of -88*i + 5/27*i**3 - 1/54*i**4 + 0 + 2/3*i**2. Factor f(h).
-2*(h - 6)*(h + 1)/9
Let t(m) = -9*m**4 + 45*m**3 + 105*m**2 + 51*m - 6. Let k(y) = 7*y**4 - 47*y**3 - 105*y**2 - 51*y + 5. Let o(z) = -6*k(z) - 5*t(z). What is g in o(g) = 0?
-17, -1, 0
Let l = -113801/24 + 4742. Let s(f) be the third derivative of -5/24*f**4 - 3*f**2 - l*f**6 + 0 + 0*f**3 - 1/14*f**7 - 5/12*f**5 + 0*f. Fa