0. Solve -5 + 63*a - x*a + 2*a**2 - 7*a**2 + 53*a = 0 for a.
1
Let w(o) be the second derivative of o**4/54 - 484*o**3/27 + 58564*o**2/9 - 9*o. Factor w(m).
2*(m - 242)**2/9
Let a(g) be the first derivative of g**4/24 - 7*g**3/6 + 13*g**2/4 + 83*g - 75. Let x(j) be the first derivative of a(j). Solve x(f) = 0 for f.
1, 13
Suppose -3*n + i - 32 + 86 = 0, -3 = -i. Solve 7*v**3 + 6*v**3 - 9*v**2 + 3 - n*v**3 + 0 = 0 for v.
-1, 1/2
Let t(x) = 7*x**3 - 33*x**2 - 4*x + 10. Let h be t(5). Let m be 5/(h/(-16))*(-1)/10. Factor 2/5*l**2 + 1/5*l + m*l**3 + 0.
l*(l + 1)**2/5
Let f = 118 + -112. Factor 5*h - 2*h + f + 0*h - 18*h**2 + 15*h**2.
-3*(h - 2)*(h + 1)
Factor -74/13*x + 516/13 - 2/13*x**2.
-2*(x - 6)*(x + 43)/13
Let q(p) be the second derivative of p**5/60 - 2*p**4/9 - 5*p**3/2 - 6*p**2 + 87*p - 27. Determine x so that q(x) = 0.
-3, -1, 12
Let o(k) be the first derivative of k**5/15 - 3*k**4 + 54*k**3 - 45*k**2/2 - 6. Let u(f) be the second derivative of o(f). Factor u(r).
4*(r - 9)**2
Let j(k) be the third derivative of -k**7/280 - 153*k**6/160 + 31*k**5/8 - 18*k**2 + 22. Factor j(y).
-3*y**2*(y - 2)*(y + 155)/4
Find i, given that 384*i - 727*i - 783*i + i**2 + 70906 + 246063 = 0.
563
Let p(l) = -l**3 - 2*l**2 - 2*l - 15. Let j be p(-4). Let c be (2/65)/((30/j)/6). Find d such that -4/13*d**2 + 0 - c*d**3 + 0*d = 0.
-2, 0
Let r(d) = -63*d**3 + 68*d**2 + 15*d - 56. Let v(u) = -136*u**3 + 136*u**2 + 32*u - 110. Let h(o) = -13*r(o) + 6*v(o). Let h(z) = 0. Calculate z.
-1, 1, 68/3
Let v = -6/36253 - -398801/108759. Factor -1/3*y**2 + v*y + 4.
-(y - 12)*(y + 1)/3
Let q(y) be the third derivative of y**8/392 - y**7/15 + 157*y**6/420 + y**5/210 - 40*y**4/21 + 16*y**3/7 - 33*y**2 + 6. Solve q(u) = 0.
-1, 1/3, 1, 4, 12
Let k(m) = -6*m - 45. Let a be k(-9). Factor -157*r - a*r**2 + 2*r**4 - 5*r**2 + 127*r + 6*r**3 + 36.
2*(r - 2)*(r - 1)*(r + 3)**2
Suppose -6*f = z - 565, -3*f - 249*z = -244*z - 314. Solve -3/2*v**2 - f*v - 2883/2 = 0.
-31
Let f(u) = -43*u + 6899. Let s be f(157). What is v in 338/3 + s*v**2 + 2/3*v**4 - 56/3*v**3 - 728/3*v = 0?
1, 13
Let a be ((-19)/95)/(1/(-98)). Let l(w) be the first derivative of -10/3*w**3 + 14*w**2 + 5 - a*w. Factor l(t).
-2*(5*t - 7)**2/5
Let f(d) = -3*d**3 + 25*d**2 + 22*d - 56. Let j(o) = 7*o**3 - 50*o**2 - 44*o + 114. Let g(i) = 9*f(i) + 4*j(i). Factor g(m).
(m - 1)*(m + 2)*(m + 24)
Let b(x) be the first derivative of -x**8/168 - x**7/105 + x**6/20 + x**5/6 + x**4/6 + 16*x**2 + 68. Let u(t) be the second derivative of b(t). Factor u(g).
-2*g*(g - 2)*(g + 1)**3
Suppose 5*y = 4*b + 4, -5*y + 2*b + 27 - 25 = 0. Let c(j) be the second derivative of -3/20*j**5 + 1/12*j**4 + y + 1/3*j**3 - 17*j + 0*j**2. Factor c(a).
-a*(a - 1)*(3*a + 2)
Determine s, given that 10143*s**3 - 17*s**4 + 5*s**4 - 6*s**2 - 10158*s**3 - 3*s**5 = 0.
-2, -1, 0
Let t be (3 + (-94)/14)/(672/(-2940)*2/4). Find o, given that 5/4*o**4 - 375/4*o**2 - 115/4*o**3 - t - 385/4*o = 0.
-1, 26
Let r(q) = 150*q**2 + 8800*q + 17315. Let i(p) = -47*p**2 - 2750*p - 5411. Let b(l) = 35*i(l) + 11*r(l). Factor b(z).
5*(z + 2)*(z + 108)
Let j(k) be the second derivative of k**6/360 + 31*k**5/90 + 961*k**4/72 - 45*k**2/2 - 135*k. Let h(w) be the first derivative of j(w). Let h(c) = 0. What is c?
-31, 0
Let f(u) = 5*u**4 - 85*u**3 + 151*u**2 + 225*u. Let t(a) = 11*a**4 - 171*a**3 + 301*a**2 + 447*a. Let v(q) = 9*f(q) - 4*t(q). Solve v(i) = 0.
-1, 0, 3, 79
Let d = -1/6931 - -7291/2495160. Let k(r) be the third derivative of 1/24*r**4 + d*r**5 + 0*r + 4*r**2 + 0 - 1/120*r**6 - 1/36*r**3. Factor k(c).
-(c - 1)*(c + 1)*(6*c - 1)/6
Suppose -70*h + 1313836 + 24*h**2 - 2*h**3 - 1313836 = 0. Calculate h.
0, 5, 7
Let z be 7*(13 - -1)/14. Let c(g) be the third derivative of 0*g - 12*g**2 - 1/490*g**z + 1/28*g**4 + 0*g**5 + 1/14*g**3 - 1/140*g**6 + 0. Solve c(o) = 0.
-1, 1
Let x(v) be the third derivative of -v**8/1008 - 19*v**7/315 - 179*v**6/180 + 29*v**5/45 + 1159*v**4/72 + 361*v**3/9 + 97*v**2 - 1. Let x(i) = 0. Calculate i.
-19, -1, 2
Find p such that -6*p**3 + 142 + 76*p**2 + 86*p - 84*p - 181*p + 66 - 53*p = 0.
2, 26/3
Let z = -104/51 - -1891/102. Let m(j) be the first derivative of -27/2*j**2 + 24*j**3 - 1/2*j**6 + 0*j - 47 - z*j**4 + 24/5*j**5. Factor m(r).
-3*r*(r - 3)**2*(r - 1)**2
Let r(c) = -441*c**2 + 315*c + 17. Let y(w) = 440*w**2 - 318*w - 18. Let k(s) = 10*r(s) + 9*y(s). Factor k(n).
-2*(3*n - 2)*(75*n + 2)
Let q(y) be the first derivative of -4*y**3/21 + 6*y**2 + 288*y/7 - 1323. Let q(o) = 0. Calculate o.
-3, 24
Let f(b) be the first derivative of b**4/42 - b**3/21 - 6*b**2/7 - 63*b + 113. Let v(x) be the first derivative of f(x). Factor v(s).
2*(s - 3)*(s + 2)/7
Let p = 425233/36 - 11812. Let i(d) be the third derivative of 0*d + 1/360*d**5 + p*d**3 + 1/72*d**4 + 45*d**2 + 0. Factor i(u).
(u + 1)**2/6
Suppose -132*o + 100*o - 36448 = 0. Let q = 1142 + o. Solve -8/7*x**2 - 4/7 + 10/7*x + 2/7*x**q = 0.
1, 2
Let c = -575249/3 + 191751. Suppose 5/3*f**4 + 0 - 17/6*f**3 + c*f**2 - 1/6*f**5 + 0*f = 0. Calculate f.
0, 1, 8
Let c be -1 + (-9)/54 - ((-504)/16)/21. Factor 1/6*r**2 - c*r**3 - 3 + 5/2*r.
-(r - 2)*(r + 3)*(2*r - 3)/6
Let h(s) be the second derivative of -s**8/18480 - s**7/13860 + s**6/1980 + s**5/660 + 5*s**4/6 + 7*s. Let v(o) be the third derivative of h(o). Solve v(d) = 0.
-1, -1/2, 1
Let k be (50/(-6))/((-48)/(-1584)). Let m = 279 + k. Find c, given that 0 + 14/15*c**2 - 2/3*c**5 - 14/15*c**m + 2/5*c**3 + 4/15*c = 0.
-1, -2/5, 0, 1
Suppose -s = -5*s + 96. Let i(r) = 2*r**2. Let t(w) be the second derivative of -3*w**4/4 - w + 922. Let o(z) = s*i(z) + 5*t(z). Factor o(j).
3*j**2
Let r(g) be the first derivative of g**7/1680 + g**6/360 - 3*g**5/80 - 3*g**4/8 + 8*g**3/3 + 2*g + 88. Let s(o) be the third derivative of r(o). Factor s(d).
(d - 3)*(d + 2)*(d + 3)/2
Suppose 0 = 3*x + 6 - 18. Factor r**4 + 6*r**3 + 2*r**x + 176 - 6*r - 179.
3*(r - 1)*(r + 1)**3
Suppose 10927 = -12*i - 2837. Let a = 8061/7 + i. Find p, given that -a - 242/7*p**2 - 176/7*p = 0.
-4/11
Let v(r) be the second derivative of r**4/4 - 85*r**3/2 + 249*r**2 - 14*r + 45. Factor v(t).
3*(t - 83)*(t - 2)
Suppose -32 = -49*q - 32. Let s(m) be the third derivative of 0 + q*m + 1/120*m**5 + 1/3*m**3 - 7*m**2 + 1/12*m**4. Find x such that s(x) = 0.
-2
Let b = -837070/7 + 119586. Factor -4/7*z**3 - b*z**2 - 80/7*z - 64/7.
-4*(z + 2)**2*(z + 4)/7
Let b(x) be the first derivative of x**6/360 - x**5/10 + 130*x**3/3 - 53. Let t(k) be the third derivative of b(k). Factor t(f).
f*(f - 12)
Suppose -46 = 6*n - 29*n. Factor -147*d - 3*d**2 + 175*d + 8*d**n - 4*d**2.
d*(d + 28)
Let z(x) be the first derivative of x**4/4 - 22*x**3/3 - 85*x**2/2 + 250*x + 1034. Find p such that z(p) = 0.
-5, 2, 25
Let t(k) be the third derivative of -k**7/20 + 127*k**6/180 - k**5/15 - k**4 + 23*k**3/6 + 47*k**2. Let i(z) be the first derivative of t(z). Factor i(g).
-2*(g - 6)*(3*g - 1)*(7*g + 2)
Factor 248585*t**4 - 8*t**3 - 248590*t**4 - 17*t**3 - 30*t**2.
-5*t**2*(t + 2)*(t + 3)
Let i(x) be the second derivative of x**4/30 - 7*x**3/5 - 54*x**2 + 658*x - 1. What is b in i(b) = 0?
-9, 30
Let a(c) be the first derivative of c**5 - 15*c**4/2 - 140*c**3/3 + 255*c**2 + 1575*c + 194. Let a(t) = 0. What is t?
-3, 5, 7
Let h = 3929343/95 - 41360. Let q = h + -1/190. Find l such that -q*l**2 - 3*l - 3/2 = 0.
-1
Let w(k) = -2*k**2 + 2*k - 16. Let i(t) = 6*t**2 - 3*t + 32. Suppose 0 = -3*n - 5*u + 5, -3*u + 6*u + 11 = n. Let q(o) = n*w(o) + 2*i(o). Factor q(d).
2*(d - 2)*(d + 4)
Let -114*l - 361/3*l**2 - 27 = 0. What is l?
-9/19
Let n be ((-37)/(-1) - 2) + (-75)/15. Suppose -8*b**3 - n - 2*b**3 - 39*b + 13*b**3 - 6*b**2 = 0. What is b?
-2, -1, 5
Let d(k) be the first derivative of -79 - 108*k + 2/3*k**6 - 54*k**2 + 24*k**3 + 26*k**4 + 36/5*k**5. Let d(w) = 0. Calculate w.
-3, -1, 1
Let d(r) be the second derivative of -r**5/80 - 3*r**4/32 + r**3/2 + r**2/2 - 44*r. Let q(p) be the first derivative of d(p). Factor q(j).
-3*(j - 1)*(j + 4)/4
Let v(m) be the third derivative of 0*m - 13/48*m**4 + 115*m**2 - 1/30*m**5 + 0 - 1/4*m**3. Solve v(d) = 0.
-3, -1/4
Let w(d) = -3*d**3 + 41*d**2 - 303*d - 8424. Let r(i) = -4*i**3 + 40*i**2 - 306*i - 8424. Let b(k) = -5*r(k) + 6*w(k). Let b(u) = 0. What is u?
-18, 13
Let v = -216 - -218. Le