l, given that 0*l**2 + 0*l - u*l**3 - 1/4*l**4 + 0 = 0.
-2, 0
Let y(b) = b**3 - 17*b**2 + 56*b + 128. Let x be y(8). Let -7/3*w**2 - w**3 + x + w**4 + 1/3*w**5 + 2*w = 0. What is w?
-3, -2, 0, 1
Let t be -1 - 10/(20/(-198)). Let j be t/(-14) + (-99)/(-12). Find y, given that j*y - 3/2 + 1/4*y**2 = 0.
-6, 1
Suppose 0 = 8*z - 1465 + 409. Let o = z + -120. Factor 4*s**2 + 0*s**3 - o*s**3 + 41*s - 4*s**4 + 4*s**5 - 33*s.
4*s*(s - 2)*(s - 1)*(s + 1)**2
Let u(l) be the third derivative of 0*l**6 - 3/560*l**7 + 0*l + 1/40*l**5 - 1/896*l**8 - 1 - 7*l**2 + 0*l**3 + 0*l**4. Factor u(k).
-3*k**2*(k - 1)*(k + 2)**2/8
Let k(t) be the third derivative of -t**6/96 + 3*t**5/8 - 5*t**4/3 + 17*t**2 + 233. What is x in k(x) = 0?
0, 2, 16
Let j(s) = 9*s**3 + 102*s**2 + 996*s + 3468. Let r(t) = 8*t**3 + 101*t**2 + 998*t + 3466. Let y(x) = 5*j(x) - 6*r(x). Factor y(g).
-3*(g + 8)*(g + 12)**2
Let w = 29882/22425 + 6/7475. Factor -4/3*b**3 + w*b**5 - 16*b - 4*b**4 + 16/3 + 44/3*b**2.
4*(b - 2)*(b - 1)**3*(b + 2)/3
Let o(j) be the third derivative of 9*j**7/70 + 15*j**6/2 + 65*j**5 - 2500*j**4 + 20000*j**3 - 321*j**2. Factor o(s).
3*(s + 20)**2*(3*s - 10)**2
Let g = 57 + -47. Find q, given that g*q - 9*q**2 - 8 - 3*q**2 + 10*q**2 = 0.
1, 4
Let k = 4930 + -142992/29. Let j = 117/116 + k. Factor j + 3/8*q**3 - 1/8*q**4 - 1/8*q**2 - 3/8*q.
-(q - 2)*(q - 1)**2*(q + 1)/8
Let 0*l + 116*l**2 + 0 + 2/3*l**3 = 0. What is l?
-174, 0
Let r = -472 - -477. Find w, given that 2 + 126*w**3 + 5*w**r + 5*w**2 - 63*w**3 - 2 - 68*w**3 - 5*w**4 = 0.
-1, 0, 1
Suppose -12*h + 7 + 12 = -53. Let g be (-1)/((-2)/(-10))*-2. Factor h - v**3 - 1 - 25*v - 5 - g*v**2.
-v*(v + 5)**2
Suppose 3*h + x = 4, -19*h + 3*x = -24*h + 4. Let m(a) be the first derivative of -8/5*a**5 + 17 + 0*a**3 - 2*a**h + 3*a**4 + 0*a. Let m(d) = 0. What is d?
-1/2, 0, 1
Suppose g = -7*d + 5*d - 757, -766 = g - d. Let u = 3817/5 + g. Let -u*r**5 + 2/5 - 6/5*r**4 - 4/5*r**3 + 4/5*r**2 + 6/5*r = 0. Calculate r.
-1, 1
Let x(h) = -3*h - 16. Let u = -2 - 4. Let r be x(u). Solve -3*p**r - p**2 - 11*p + 11*p - 4*p**3 = 0 for p.
-1, 0
Suppose 0*x + 20 = 10*x. Suppose 2*a - 10 = 5*g + 21, x*a + 4*g = -14. Factor a*q - 8 + 3*q**2 + 8.
3*q*(q + 1)
Let p = 5512615/7 - 787516. Factor -p*g**2 + 6 - 39/7*g.
-3*(g - 1)*(g + 14)/7
Suppose -10*j + 4 + 16 = 0. Let x(s) = 2*s**2 - 2*s - 2. Let a be x(j). Factor -6*h**2 + 3*h**2 + 8*h**a.
5*h**2
Let o be -2 + ((-1)/2)/((-2)/(-8)). Let q(w) = w**2 + 4*w - 9. Let f(i) = 2*i - 1. Let p(c) = o*f(c) - q(c). Factor p(h).
-(h - 1)*(h + 13)
Let o be ((-3381)/(-140) - 24)*36. Solve -27*t - o*t**2 + 1/5*t**4 - 162/5 + 3/5*t**3 = 0.
-3, 6
Let c = 259 + -259. Suppose 28*h - 46*h = c. Determine z, given that -1/4*z**5 + 0*z + 3/4*z**4 + 0 + h*z**2 - 1/2*z**3 = 0.
0, 1, 2
Let z be (7 - 40)/(-11) + 1 - 33/12. Factor -z*g**3 + 20*g - 5/4*g**2 - 25.
-5*(g - 2)**2*(g + 5)/4
Factor -210*p**2 + 5/2*p**3 - 435 - 1295/2*p.
5*(p - 87)*(p + 1)*(p + 2)/2
Let -24*a + 6419*a**2 - 2855 - 111*a - 3265 - 3209*a**2 - 3205*a**2 = 0. Calculate a.
-24, 51
Let x(g) be the second derivative of g**4/4 + 7*g**3/6 + g**2 - 1083*g. Suppose x(l) = 0. Calculate l.
-2, -1/3
Let w(z) be the second derivative of -z**7/63 - 7*z**6/9 - 40*z**5/3 - 250*z**4/3 + 28*z - 26. Solve w(y) = 0 for y.
-15, -10, 0
Factor -89*y**2 - 71*y**2 - 690 + 158*y**2 - 76*y.
-2*(y + 15)*(y + 23)
Solve 282/7 - 2/7*x**2 + 88/7*x = 0 for x.
-3, 47
Let q(c) = 230 + 21*c**2 - 13*c**2 + 54*c - 12*c**2 + 220. Let l(w) = 11*w**2 - 163*w - 1350. Let j(b) = -6*l(b) - 17*q(b). Factor j(f).
2*(f + 15)**2
Let d(x) be the third derivative of -x**6/150 + 83*x**5/200 + 21*x**4/40 - 26*x**3/3 - 6*x**2 + 7. Let f(l) be the first derivative of d(l). Factor f(j).
-3*(j - 21)*(4*j + 1)/5
Let r be (3 + -15)/3 - (-38 + 2). Factor r - 43*a - 49*a - 42*a - 2*a**2 + 122*a.
-2*(a - 2)*(a + 8)
What is i in -512/7 - 16*i**2 - 576/7*i + 8*i**3 - 2/7*i**5 + 12/7*i**4 = 0?
-2, 4, 8
Let j(m) = -5*m**4 - 5*m**3 + 20*m**2 + 15*m - 15. Let k = -459 + 458. Let t(u) = -u**3 - u. Let s(y) = k*j(y) - 5*t(y). Factor s(c).
5*(c - 1)**2*(c + 1)*(c + 3)
Find o, given that -136*o**2 - 175*o**3 - 83*o**5 + 12*o + 286*o**5 - 94*o**5 - 2*o**4 - 84*o**5 = 0.
-2, -1, 0, 2/25, 3
Let z(h) be the second derivative of 1/40*h**5 + 0*h**2 + 625/3*h**3 - 73 - 25/6*h**4 + h. Factor z(r).
r*(r - 50)**2/2
Solve -4/3*h**4 + 44/3*h**3 + h**2 - 11/3 - 32/3*h = 0 for h.
-1/2, 1, 11
Factor -71 + 30*k + 0*k + 55*k**2 + 31 - 15*k**3.
-5*(k - 4)*(k + 1)*(3*k - 2)
Let v(p) be the second derivative of 10*p + 1/60*p**5 + 5/6*p**3 - 1/4*p**4 + 13/2*p**2 + 0. Let t(d) be the first derivative of v(d). Let t(s) = 0. What is s?
1, 5
Let z(g) = -g**3 - 244*g**2 + 484*g - 239. Let o(v) = -v**3 - 162*v**2 + 322*v - 159. Let y(k) = -14*o(k) + 10*z(k). Find w, given that y(w) = 0.
1, 41
Determine c so that 21866*c**2 - 56 + 18*c + 21859*c**2 - 43726*c**2 = 0.
4, 14
Let a = 206445/8 - 1031937/40. Find u such that 3/5*u**4 + 0 - 36/5*u - 3/5*u**2 + a*u**3 = 0.
-12, -1, 0, 1
Suppose 23*h = 23*h - 3*w + 18, -3*h + w = -9. Factor 13/2*m + m**4 - 3*m**3 - 3 + 1/2*m**h - 2*m**2.
(m - 1)**3*(m + 2)*(m + 3)/2
Suppose -5*l = -4*z + 236, -l = 4*l - 3*z + 232. Let i = -29 - l. Find v such that 3*v**2 - 5*v**3 - 39*v**4 + 305*v - 311*v + i*v**5 + 32*v**3 = 0.
-2/5, 0, 1
Let b(d) be the second derivative of 17*d**4/6 - 29*d**3/3 - 66*d**2 - 801*d. Factor b(p).
2*(p - 3)*(17*p + 22)
Let l(m) be the first derivative of -m**6/360 - m**5/40 - m**4/12 + 2*m**3/3 + 6*m - 45. Let x(j) be the third derivative of l(j). Let x(d) = 0. What is d?
-2, -1
Let t(p) be the third derivative of -p**7/1050 + 9*p**6/50 - 7*p**5/5 + 52*p**4/15 + 66*p**2. Factor t(a).
-a*(a - 104)*(a - 2)**2/5
Let v be 130/20 + -1*(-1)/2. Suppose -5*x = -2*b, -4 = -x + b - v. Determine p so that 2/3*p**x + 2*p + 4/3 = 0.
-2, -1
Find b, given that -208 - 42*b**2 - 53*b + 84*b**2 - 32*b**2 - 55*b + 6*b**3 = 0.
-4, -2, 13/3
Let h be (-3)/(-36)*(-22594)/(-759). Let g = h + 4/207. Find d such that 0 + 0*d + 2*d**4 - g*d**3 - 1/2*d**5 + d**2 = 0.
0, 1, 2
Let z be (-6120)/(-1836)*1602/50. Suppose -6*g**4 - 90*g - 222/5*g**3 - 108/5 - z*g**2 = 0. What is g?
-3, -1, -2/5
Let y(q) be the first derivative of -2*q**3/45 + 2218*q**2/15 - 2459762*q/15 - 1301. Factor y(l).
-2*(l - 1109)**2/15
Suppose -g - 289 = -4*w, -4*g + 231 = w + 2*w. Suppose -w*m = -76*m. Factor -1/6*u**2 + m*u + 1/6.
-(u - 1)*(u + 1)/6
Let j = -265/16 + 1959/112. Let s(f) be the second derivative of 1/4*f**4 + 3/140*f**5 - j*f**3 - 1/70*f**6 + 13*f + 9/7*f**2 + 0. Determine h so that s(h) = 0.
-3, 1, 2
Let a(i) = -2243*i + 183926. Let q be a(82). Let 32/11 + 2/11*f**3 + q*f**2 - 24/11*f = 0. Calculate f.
-4, 2
Let h = 24866 + -24866. Let o(y) be the first derivative of h*y - 7/9*y**2 - 39 - 2/27*y**3. Factor o(r).
-2*r*(r + 7)/9
Let a(x) be the third derivative of -x**5/100 + 67*x**4/40 - 33*x**3/5 - 5938*x**2 + 1. What is z in a(z) = 0?
1, 66
Let z(w) be the first derivative of -60*w - 6*w**2 - 3/5*w**5 - 3/2*w**4 + 15*w**3 + 26. Let z(x) = 0. Calculate x.
-5, -1, 2
Let s(j) be the first derivative of -j**3/6 - 301*j**2/4 + 303*j + 583. Let s(k) = 0. What is k?
-303, 2
Let i(l) be the first derivative of -l**6/6 + 541*l**5/5 - 36989*l**4/2 + 218698*l**3/3 - 217621*l**2/2 + 72361*l + 2107. Factor i(d).
-(d - 269)**2*(d - 1)**3
Let w be (7 + -1)/((-348)/(-20 + -96)). Determine v, given that 73/5*v**3 - 7/5*v**5 + 24/5*v + 16/5*v**4 - 106/5*v**w + 0 = 0.
-3, 0, 2/7, 1, 4
Let h(y) be the second derivative of -y**7/1512 + y**6/1080 - y**4/6 + 11*y**3/3 - 2*y + 7. Let v(q) be the third derivative of h(q). Factor v(s).
-s*(5*s - 2)/3
Let n be 5/(-50)*2 - (-62)/10. Suppose -3*q**2 + 12 + 3*q + n*q + 0*q = 0. Calculate q.
-1, 4
Suppose 0 = -104*c + 78*c + 286. Let i(t) be the third derivative of 0*t**4 + c*t**2 - 1/70*t**7 + 0*t + 0*t**5 + 0 + 0*t**3 - 1/40*t**6. Factor i(a).
-3*a**3*(a + 1)
Let g(z) be the first derivative of z**2/2 + 5*z - 8. Let q be g(-3). Find p such that 16*p**5 - 11*p**5 - 10*p**3 + 5*p + 15 - 23*p**q - 7*p**2 + 15*p**4 = 0.
-3, -1, 1
Let y(s) = 5*s**2 - 4*s - 5. Let z be ((-107)/214)/((-2)/(-2*2)). Let r be y(z). Find g, given that r*g**2 - 1/4*g**3 - 16*g + 0 = 0.
0, 8
Let l be (12/56*7)/(1503/1336). Find b, gi