+ 0*b. Let z(j) be the third derivative of x(j). Factor z(k).
-4*(k - 1)*(2*k - 1)
Let o(s) = -29*s**3 - 2*s - 2. Suppose 0 = 4*f - 8*f - 4. Let h be o(f). Suppose -32*u**2 + 14*u - 6*u + 17*u**3 + 6*u**5 + h*u**3 - 28*u**4 = 0. Calculate u.
0, 2/3, 1, 2
Let j be 56/126 + 39/(-26) + 358/180. Let s(o) be the first derivative of -j*o - 8 - 2/45*o**3 - 8/15*o**2. Factor s(g).
-2*(g + 1)*(g + 7)/15
Let h(q) be the second derivative of -97*q**4/4 + 2036*q**3/3 + 14*q**2 - 8585*q. Suppose h(l) = 0. What is l?
-2/291, 14
Let a(o) be the first derivative of -12/5*o**2 - 1/10*o**4 + 0*o - 16/15*o**3 + 69. Factor a(t).
-2*t*(t + 2)*(t + 6)/5
Let q(v) be the first derivative of -v**3 + 4/3*v + 113 - 8/3*v**2. Solve q(h) = 0 for h.
-2, 2/9
Let g(x) be the first derivative of -370/3*x**3 - 30*x**2 - 375/4*x**4 + 0*x + 245/12*x**6 + 273/2*x**5 - 46. Determine l, given that g(l) = 0.
-6, -2/7, 0, 1
Let v(j) = 2*j + 78. Let k = 332 + -370. Let a be v(k). Solve 2/11*d**a + 0*d + 0 = 0 for d.
0
Let v(z) be the second derivative of -z**5/20 - 41*z**4/2 - 5043*z**3/2 - 3*z - 161. Factor v(g).
-g*(g + 123)**2
Suppose -250 = 10*y - 20*y. Suppose -71*r + 20*r**2 + y*r**3 + 46*r - 20*r**3 = 0. What is r?
-5, 0, 1
Suppose 4*p + 63 = 71. Determine a so that 3 - 1901*a**3 - a**2 - p*a - 2*a + 1903*a**3 = 0.
-3/2, 1
Let k(a) = -44*a**3 - 273*a**2 + 2307*a - 653. Let y(f) = -23*f**3 - 136*f**2 + 1154*f - 326. Let q(d) = -6*k(d) + 13*y(d). Factor q(o).
-5*(o - 4)*(o + 8)*(7*o - 2)
Let d(b) be the second derivative of 49*b**6/10 - 427*b**5/8 + 923*b**4/6 + 169*b**3/3 + 1408*b. Factor d(j).
j*(6*j + 1)*(7*j - 26)**2/2
Let r(h) be the first derivative of 7*h**4/4 + 437*h**3 + 838*h**2 + 372*h - 4218. Factor r(w).
(w + 1)*(w + 186)*(7*w + 2)
Let x(w) be the first derivative of 20*w**6/3 + 284*w**5/5 + 60*w**4 - 48*w**3 - 1646. Solve x(c) = 0 for c.
-6, -3/2, 0, 2/5
Suppose -5*f + 14*f - 18 = 0. Factor -f + 541*z**3 - 3*z - 538*z**3 + 2.
3*z*(z - 1)*(z + 1)
Determine w so that 76*w**2 - 16*w**2 + 2273229*w - 2273181*w + 24*w**3 + 3*w**4 = 0.
-4, -2, 0
Let n(o) = -13*o**2 - 25*o + 38. Let t(x) = x**2 - 16*x + 10. Let l be t(14). Let q(r) = -3*r**2 - 6*r + 9. Let a(y) = l*q(y) + 4*n(y). Factor a(b).
2*(b - 1)*(b + 5)
Let k(y) be the first derivative of y**9/24192 + y**8/3360 + y**7/1344 + y**6/1440 - 25*y**3 + 83. Let j(c) be the third derivative of k(c). Factor j(i).
i**2*(i + 1)**2*(i + 2)/8
Let m(t) be the second derivative of -t**4/72 - 83*t**3/2 + 748*t**2/3 - 1036*t. Factor m(g).
-(g - 2)*(g + 1496)/6
Let q = 117491/9225 - 522/41. Let h(k) be the third derivative of 0*k - 1/900*k**6 - 1/180*k**4 + 0 - q*k**5 + 0*k**3 - 22*k**2. Suppose h(f) = 0. What is f?
-1, 0
Let y(v) be the first derivative of -4*v**5/5 - 209*v**4 - 552*v**3 - 11560. Determine m, given that y(m) = 0.
-207, -2, 0
Let f(l) = l**3 - 42*l**2 + 42*l - 29. Let x be f(41). Let b be (x/32)/(1/8). Factor 8/7*c**b - 22/7*c - 16/7*c**2 - 6/7.
2*(c - 3)*(2*c + 1)**2/7
Solve 26/7 + 2/7*n**2 + 4*n = 0.
-13, -1
Let p(c) be the second derivative of c**6/300 + 2*c**5/75 - c**4/60 - 4*c**3/15 - 91*c**2/2 - 34*c. Let m(d) be the first derivative of p(d). Factor m(u).
2*(u - 1)*(u + 1)*(u + 4)/5
What is d in -14/9*d**2 - 348*d + 896/9 = 0?
-224, 2/7
Factor -2/5 - o + 7/5*o**2.
(o - 1)*(7*o + 2)/5
Suppose 0 = -5*p - 3*z - 4668, 0 = -5*p + 21*z - 16*z - 4660. Let a = p - -6555/7. What is l in 4/7*l**3 - 8/7 + a*l + 54/7*l**2 - 18/7*l**4 = 0?
-1, 2/9, 2
Let f(n) = 2*n**3 + 38*n**2 - 1824*n + 12664. Let w(g) = -g**2 - 4. Let x(i) = f(i) - 2*w(i). Determine t, given that x(t) = 0.
-44, 12
Let i be 8 - (4 - (-6)/(-6)). Factor 8*r**2 + 5*r + r**i - 13*r**2 + 3 + 3*r**2 - r**4 - 6*r**3.
(r - 3)*(r - 1)*(r + 1)**3
Let o(v) = 2*v**2 - 4*v - 1. Let n be (-1)/(-8) + (-165)/(-88) + -3. Let p be o(n). Factor 3 + p*u + 1/3*u**3 + 7/3*u**2.
(u + 1)*(u + 3)**2/3
Suppose 8*l = 6*l + 16. Let t be 3/(l/6 - (-1)/(-3)). Factor 0*c**t - 3*c**4 + 3/2*c**5 + 3*c**2 - 3/2*c + 0.
3*c*(c - 1)**3*(c + 1)/2
Let b(q) be the second derivative of -3*q**5/40 - 9291*q**4/8 - 28774227*q**3/4 - 89113781019*q**2/4 - 2145*q. Suppose b(k) = 0. Calculate k.
-3097
Suppose 5*n - 25 = 0, 3*k - 18*n + 1589 = -20*n. Let g be (-140)/(-18)*(-7 + k/(-65)). Factor -g*b - 10*b**2 - 8/3 - 3*b**3.
-(b + 2)*(3*b + 2)**2/3
Let a(h) = -h**3 - 4. Let o be 24/(-9) - (-2)/3. Let w be a(o). Suppose -4*j**4 + 8*j**2 - 6*j**2 - j**w - 5 + 8*j**2 = 0. Calculate j.
-1, 1
Let c(z) be the second derivative of -11/2*z**2 - 5/3*z**3 + 1/12*z**4 - 1 + 50*z. What is t in c(t) = 0?
-1, 11
Let x be (6 + 16/(-4))*(-985)/(-2). Let 990*n**3 - 1965*n**3 + 5*n**4 - 10*n + x*n**3 - 5*n**2 = 0. Calculate n.
-2, -1, 0, 1
Determine k, given that 1612/3*k - 649636/3 + 1/3*k**4 + 216545*k**2 - 1612/3*k**3 = 0.
-1, 1, 806
Let l(n) = 45*n**2 - 2798*n + 499. Let a be l(62). Find f such that 0 + 1/4*f**5 + 0*f - f**a - 3/2*f**4 + 6*f**2 = 0.
-2, 0, 2, 6
Factor 299568/7 + 1896/7*f + 3/7*f**2.
3*(f + 316)**2/7
Let v = 88/2621 - -18171/5242. Factor -4*t + 8 - 1/2*t**3 - v*t**2.
-(t - 1)*(t + 4)**2/2
Let c(g) = -10*g**2 + 2314*g - 19942. Let k(b) = 2*b**2 - 466*b + 3989. Let o(f) = 3*c(f) + 14*k(f). Solve o(x) = 0 for x.
10, 199
Let c(h) be the third derivative of 2/105*h**7 - 4/15*h**5 + 0*h - 2/3*h**4 + 0 + 110*h**2 + 1/30*h**6 + 0*h**3. Find m such that c(m) = 0.
-2, -1, 0, 2
Suppose -69*s + 71*s - 2534 = -68*s - 111*s. Let 16/3*u**2 - s*u + 26/3 = 0. Calculate u.
1, 13/8
Suppose j - 667*z + 662*z = -33, 0 = 5*j + 2*z - 78. Solve 0 - j*l + 4/3*l**2 = 0 for l.
0, 9
Factor 5/6*l**4 + 25/2 + 5*l**3 - 55/3*l + 0*l**2.
5*(l - 1)**2*(l + 3)*(l + 5)/6
Let a = -92944 + 1208274/13. Let -6/13*c**2 + 2/13*c**3 - 10/13*c + a*c**4 - 4/13 = 0. Calculate c.
-1, 2
Let r be 18/(-2 + -3 - -3). Let b = r - -13. Find a, given that b*a**5 + 8*a**4 - 4*a - 5*a**2 - a**2 - 2*a**2 = 0.
-1, 0, 1
Suppose 117*f = 133*f - 32. Let i(g) be the third derivative of -5/12*g**4 - 3/4*g**5 + 0*g + 0 + 0*g**3 - 14*g**f - 1/6*g**6. Factor i(x).
-5*x*(x + 2)*(4*x + 1)
Suppose 12*n = 80*n + 80*n - 296. Let l(g) be the second derivative of 1/6*g**3 + g + 0 - 5/8*g**n + 1/48*g**4. Find s, given that l(s) = 0.
-5, 1
Let w = 8/1039 + 1023/2078. Let t(m) be the first derivative of -10/3*m**3 + 7*m**2 + 5 + w*m**4 - 6*m. Suppose t(x) = 0. Calculate x.
1, 3
Let f(y) be the second derivative of -y**5/10 - 1165*y**4/36 - 676*y**3/9 - 193*y**2/6 - 893*y. Solve f(z) = 0.
-193, -1, -1/6
Let m(k) be the first derivative of -k**6/2 + 33*k**5/5 + 135*k**4/2 - 1100*k**3 + 1500*k**2 + 2195. What is o in m(o) = 0?
-10, 0, 1, 10
Let x be 7 - ((5 - 14) + 12). Let a(c) be the second derivative of 1/150*c**6 + 6*c - 3/100*c**5 - 1/60*c**x + 1/10*c**3 + 0*c**2 + 0. Factor a(r).
r*(r - 3)*(r - 1)*(r + 1)/5
Let s(d) = -16*d**2 + 368*d + 12. Let i(k) = -13*k**2 + 367*k + 10. Let z(w) = -6*i(w) + 5*s(w). Factor z(c).
-2*c*(c + 181)
Let s be 69/9 - (-26)/195*-5. Let n(k) be the third derivative of 11*k**2 + 1/20*k**5 + 1/140*k**s + 0*k**4 + 0*k**3 + 0 + 0*k + 3/80*k**6. Factor n(d).
3*d**2*(d + 1)*(d + 2)/2
Suppose -9*m - 394 = -61. Let x be (-4)/14 - m/7. What is c in -18*c**3 - 20*c**2 + x + 5*c**3 + 15*c**4 + 10*c**5 + 3*c**3 = 0?
-1, 1/2, 1
Suppose -3*a - 132 = -204. Factor 262*x**3 - a*x**2 - 129*x**3 - 54*x - 131*x**3 - 28.
2*(x - 14)*(x + 1)**2
Let n(u) be the second derivative of 0 + 1/24*u**4 + 0*u**3 - 7*u - 4*u**2 - 1/60*u**5. Let p(o) be the first derivative of n(o). Factor p(z).
-z*(z - 1)
Let q(o) be the third derivative of o**8/56 + 19*o**7/70 - 27*o**6/5 - 121*o**5/20 + 14*o**4 + 7914*o**2. Find v, given that q(v) = 0.
-16, -1, 0, 1/2, 7
Let t(d) be the second derivative of -d**7/126 - 5*d**6/18 - 223*d**5/60 - 823*d**4/36 - 536*d**3/9 - 224*d**2/3 + d - 417. Let t(k) = 0. Calculate k.
-8, -7, -1
What is w in 64608 + 16*w**3 + 148*w**2 - 132552 + 66236 - 1576*w = 0?
-61/4, -1, 7
Let x(o) = o**2 - 900*o + 199833. Let d(p) = p**2 - 899*p + 199829. Let r(f) = 6*d(f) - 5*x(f). Factor r(k).
(k - 447)**2
Suppose -2/5*t**4 - 153/5*t - 54/5 - 5*t**3 - 102/5*t**2 = 0. What is t?
-6, -3, -1/2
Let o(z) be the first derivative of z**3/9 + 3*z**2/2 - 136*z/3 + 3165. Find n, given that o(n) = 0.
-17, 8
Let j = -1888 + 1880. Let q be (2/4)/(j/(-120)). Factor 29/4*y**2 