+ 352)**2/3
Solve 1198*x**4 - 563*x**4 - 3*x**5 - 444*x - 581*x**4 - 255*x**3 + 504*x**2 + 144 = 0 for x.
1, 2, 12
Factor -42/5*y**3 - 326/5*y - 1/5*y**4 + 228/5*y**2 + 141/5.
-(y - 3)*(y - 1)**2*(y + 47)/5
Suppose 5*v = 5*o + 25, -3*v + 7*o + 16 = 3*o. Suppose 0 = 4*b - 4*p - 16, -p + 6*p + 18 = v*b. Let -2/7*r**b - 2/7*r + 0 = 0. What is r?
-1, 0
Let 76*q**2 - 1412*q + 24*q**2 - 337 - 1352*q - 34*q**2 + 1 = 0. What is q?
-4/33, 42
Let d(x) be the second derivative of -10*x**7/21 - 16*x**6/15 - 3*x**5/5 + 886*x. Determine g, given that d(g) = 0.
-1, -3/5, 0
Solve -75 + 0*l**4 - 17*l**3 - 3*l**3 + 215*l**2 - 285 - 5*l**4 - 130*l = 0.
-9, -1, 2, 4
Suppose -79 = -3*x + 4*t, -39 = -x - 43*t + 38*t. Let n = 32 - x. Find g such that 2/13 + 4/13*g + 0*g**2 - 2/13*g**4 - 4/13*g**n = 0.
-1, 1
Suppose 7*z - 10 = 18. Suppose -11*s = -8*s + z*v - 16, 0 = -s - v + 5. Factor 1/10*f**s - 3/10*f - 1/10*f**2 + 3/10*f**3 + 0.
f*(f - 1)*(f + 1)*(f + 3)/10
Let z = -23/43 + 485/344. Let d = 69 - 69. Suppose -z*y + d - 1/8*y**2 = 0. Calculate y.
-7, 0
Let m(u) be the third derivative of u**5/300 - 11*u**4/40 + 58*u**3/15 + 333*u**2. Factor m(c).
(c - 29)*(c - 4)/5
Suppose 27*o - 371 = -47. Let r(g) = -118*g**3 - 107*g**2 + 222*g - 12. Let j(t) = -294*t**3 - 267*t**2 + 555*t - 30. Let i(c) = o*r(c) - 5*j(c). Factor i(l).
3*(l - 1)*(l + 2)*(18*l - 1)
Let y(n) = 2*n + 32. Let g be y(-15). Factor -24*f**3 + 8*f**3 + 44*f**3 + 32*f**g - 4*f**4.
-4*f**2*(f - 8)*(f + 1)
Suppose i - 367 = f, f - 3*f + 4*i - 734 = 0. Let o = 369 + f. Determine x so that -6/7*x**o + 0 - 8/7*x = 0.
-4/3, 0
Let c be 42/(-10)*(-28)/(-63) + 2. Determine u, given that -4/5*u**3 - 8/5 - c*u**4 + 2/5*u**2 + 32/15*u = 0.
-6, -2, 1
Let s(f) be the first derivative of -25*f**6/6 + 15*f**5 + 65*f**4/8 + 5*f**3/3 - 87*f**2 + 81. Let k(r) be the second derivative of s(r). Factor k(l).
-5*(l - 2)*(10*l + 1)**2
Let w(s) be the first derivative of 4*s**3/15 + 46*s**2/5 + 104*s + 1004. Solve w(o) = 0.
-13, -10
Solve 11136/13*u + 698/13*u**3 - 5580/13*u**2 + 64/13 = 0.
-2/349, 4
Let b = -5837 + 5845. Let r(f) be the third derivative of 0*f**5 - 1/1344*f**b + 0*f + 0 + 0*f**3 + f**2 + 1/240*f**6 - 1/96*f**4 + 0*f**7. Factor r(j).
-j*(j - 1)**2*(j + 1)**2/4
Let l(o) be the first derivative of -2*o**3/51 + 7*o**2/17 + 156*o/17 - 562. Factor l(b).
-2*(b - 13)*(b + 6)/17
Suppose 384 = 6*o - 10*o. Let q be o/(-7) - (-10)/35. Factor 12*c - 18*c**2 - 8 + 8 + q*c**2.
-4*c*(c - 3)
Suppose -u + 9 = 2*u. Let a = 41458/10521 + -450/1169. Factor 16/9*d**2 + 2/9 + a*d**u - 14/9*d.
2*(d + 1)*(4*d - 1)**2/9
Let y(z) be the first derivative of -z**3 - 603*z**2/2 - 600*z + 97. What is o in y(o) = 0?
-200, -1
Let s(w) be the third derivative of w**7/42 - 11*w**6/20 + 283*w**5/100 + 211*w**4/30 + 6*w**3 + 755*w**2. Let s(b) = 0. What is b?
-2/5, 5, 9
Let v(a) be the first derivative of -a**3/6 - 9*a**2/2 - 17*a/2 - 3824. Suppose v(t) = 0. What is t?
-17, -1
Let g = 675/569 - -2527/1707. Solve 10/3*s - g - 1/3*s**3 - 1/3*s**2 = 0.
-4, 1, 2
Factor -80*a**2 + 724/9*a + 2/9*a**4 + 236/9*a**3 - 242/9.
2*(a - 1)**3*(a + 121)/9
Let l(u) be the first derivative of -u**3/12 - 14*u**2 + 113*u/4 - 1719. Determine z so that l(z) = 0.
-113, 1
Let o(z) be the third derivative of -1/6*z**4 + 79*z**2 + 0*z - 1/90*z**5 + 0 + 0*z**3. Find y such that o(y) = 0.
-6, 0
Let s(y) be the second derivative of y**5/80 - 13*y**4/24 + 175*y**3/24 - 75*y**2/4 - 92*y - 11. Determine t, given that s(t) = 0.
1, 10, 15
Let g(m) be the second derivative of m**7/231 - 2*m**6/33 + 3*m**5/55 + 14*m**4/33 - 7*m**3/33 - 18*m**2/11 - 482*m. Suppose g(s) = 0. Calculate s.
-1, 1, 2, 9
Let t(y) be the third derivative of -y**8/1344 + y**7/168 - 3*y**6/160 + 7*y**5/240 - y**4/48 + 22*y**2 - 10. Factor t(u).
-u*(u - 2)*(u - 1)**3/4
Let u = -1428/11 + 130. Suppose 0 = -540*v + 545*v + n - 11, -3*v + 1 = -5*n. Factor 2/11*f**v + 0*f + u*f**3 + 0.
2*f**2*(f + 1)/11
Let t(v) be the first derivative of -5/16*v**4 - 5*v**2 + 35/12*v**3 - 20*v - 35. Solve t(y) = 0 for y.
-1, 4
Suppose 1/9*m**2 + 54 + 5*m = 0. What is m?
-27, -18
Let o(v) be the first derivative of -v**5 + 185*v**4/4 - 655*v**3 + 4675*v**2/2 - 2890*v - 9261. What is t in o(t) = 0?
1, 2, 17
Let s = -3623 + 3638. Let p(c) be the first derivative of 1/4*c**2 - 1/4*c - s - 1/12*c**3. Factor p(v).
-(v - 1)**2/4
Let m(h) be the first derivative of h**6/27 + 2*h**5/15 - 8*h**3/27 - 695. Determine k, given that m(k) = 0.
-2, 0, 1
Let c(p) be the third derivative of -2*p**7/105 - p**6/30 + 3*p**5/5 + 3*p**4/2 - 50*p**2 + 5*p. Solve c(l) = 0 for l.
-3, -1, 0, 3
Let k(x) be the first derivative of x**2 - 2*x**3 + 68 + 6*x - 1/2*x**4. Suppose k(j) = 0. Calculate j.
-3, -1, 1
Let j(y) be the third derivative of y**5/150 - 277*y**4/30 + 76729*y**3/15 + 699*y**2. Factor j(f).
2*(f - 277)**2/5
Solve 0 + 2/13*t**2 - 24/13*t + 2/13*t**3 = 0 for t.
-4, 0, 3
Let m(d) be the third derivative of 0*d - 2/5*d**5 + 0*d**3 - 3/10*d**6 + 8/3*d**4 + 0 + 146*d**2 - 2/105*d**7. Factor m(c).
-4*c*(c - 1)*(c + 2)*(c + 8)
Let t(y) be the second derivative of 20*y**3 + 26*y + 0 - 450*y**2 - 1/3*y**4. Factor t(q).
-4*(q - 15)**2
Let r(u) be the first derivative of 3*u**4/32 - u**3/4 - 27*u**2/16 + 27*u/4 - 4622. Let r(k) = 0. What is k?
-3, 2, 3
Let s(b) be the third derivative of b**8/420 + 22*b**7/525 + b**6/15 - 106*b**5/75 + 133*b**4/30 - 98*b**3/15 - 3*b**2 + 109. Let s(a) = 0. What is a?
-7, 1
Let s = -460252/5 - -92051. Factor 57/5*h + 12 - s*h**2.
-3*(h - 20)*(h + 1)/5
Let i be (-4)/(2/4 - 105/42). Factor -4*k**i + 641 - 317 - 8*k - 312.
-4*(k - 1)*(k + 3)
Let -316/7*n**2 + 256/7 + 60/7*n**4 + 192/7*n - 4/7*n**5 - 188/7*n**3 = 0. Calculate n.
-1, 1, 8
Let g(s) = -55*s**2 - 20*s**3 + 15*s - 7*s**3 + 7*s**3. Let o be 1/(-2)*5*6. Let c(j) = 3*j**3 + 8*j**2 - 2*j. Let x(b) = o*c(b) - 2*g(b). Factor x(t).
-5*t**2*(t + 2)
Let a(l) be the third derivative of 5*l**8/336 + 11*l**7/42 + 37*l**6/24 + 15*l**5/4 + 15*l**4/4 - 36*l**2 - 5*l - 4. Suppose a(j) = 0. What is j?
-6, -3, -1, 0
Let z = -1469 + 1471. Suppose z*q = -2*b - 4, -5*b + 446*q + 11 = 444*q. Determine u so that 1/2*u**4 - 1/2*u**3 + 1/2*u + b - 3/2*u**2 = 0.
-1, 1, 2
Let x = 89918 - 89912. Find a such that 2/5*a**2 + 4/5*a - x = 0.
-5, 3
Let l = 3/233 - -209/1864. Let x(n) be the third derivative of -5/12*n**4 - l*n**6 + 0*n - 5/12*n**5 + 0 - 11*n**2 + 0*n**3. Factor x(p).
-5*p*(p + 1)*(3*p + 2)
Let d(x) be the second derivative of -x**5/300 - x**4/120 + x**3/5 + 9*x**2/2 + 4*x + 9. Let u(z) be the first derivative of d(z). Factor u(v).
-(v - 2)*(v + 3)/5
Let c(g) be the second derivative of -g**6/30 + 53*g**5/4 - 109*g**4 + 1042*g**3/3 - 520*g**2 - 5343*g. Factor c(p).
-(p - 260)*(p - 2)**2*(p - 1)
Let h(c) = c**4 + 460*c**3 + 916*c**2 + 465*c. Let i(y) = y**2 - 7*y. Let d(b) = -5*h(b) - 5*i(b). Factor d(n).
-5*n*(n + 1)**2*(n + 458)
Suppose 880 - 2*g**3 - 227*g - 204*g**2 - 3*g**3 - 293*g + 299*g**2 = 0. Calculate g.
4, 11
Let s(f) be the third derivative of -19/20*f**6 - 11/15*f**5 + 11/4*f**4 - 13/6*f**3 + 3/70*f**7 - 12*f**2 + 0 + f. Factor s(o).
(o - 13)*(o + 1)*(3*o - 1)**2
Let f = -55073/2 + 27537. Factor -10*k - f*k**2 - 19/2.
-(k + 1)*(k + 19)/2
Let w(t) be the third derivative of 26 - 1/100*t**5 + 1/8*t**4 + t**2 + 3/5*t**3 + 0*t. What is u in w(u) = 0?
-1, 6
Suppose -4*t + 9*t = 3*v - 53, -52 = -4*v + 2*t. Factor -11 - z**2 + 59*z - z**4 + 2*z**3 - 59*z + v.
-z**2*(z - 1)**2
Suppose -2*w = 12*w + 2142. Let i be ((-68)/w)/(4/36). Determine g so that -1/6*g**i + 0*g**3 + 1/2*g**2 + 1/3*g + 0 = 0.
-1, 0, 2
Let r = 181 + -160. Let 3*y**2 - r*y - 16 + 2322*y**3 + 5*y + y**2 - 2318*y**3 = 0. Calculate y.
-2, -1, 2
Let v = 146 - 141. Let k be 3/20 + v/20. Factor 16/5*a - k*a**2 - 32/5.
-2*(a - 4)**2/5
Let m = 127278 - 127251. Factor 90*n - m*n**2 + 300 + 3/2*n**3.
3*(n - 10)**2*(n + 2)/2
Find h such that 0*h**2 + 1357*h - 40 + 1299*h - 2632*h - 2*h**2 = 0.
2, 10
Let o(p) be the third derivative of -17*p**5/210 - 13*p**4/42 - 3*p**3/7 + 8*p**2 + 11. Factor o(t).
-2*(t + 1)*(17*t + 9)/7
Let o(l) be the first derivative of -l**4/10 + 112*l**3/15 - 869*l**2/5 + 8228*l/5 + 1531. Find g, given that o(g) = 0.
11, 34
Let w(q) be the third derivative of -q**7/42 - q**6/8 - q**5/4 - 5*q