 - 20*r**u + 20*r**2 + 5*r**5 + 16409 = 0?
-2, 0, 1, 2
Let n be (12/20)/(((-81)/24)/9)*(-65)/52. Factor 0 + 0*x + 11/4*x**n - 1/4*x**4 - 5/2*x**3.
-x**2*(x - 1)*(x + 11)/4
Let x be ((216 - 214) + (-1282)/8)/(6/(-4)) - -1. Factor -x*b + 9*b**2 - 18.
3*(b - 12)*(6*b + 1)/2
Let p(g) be the second derivative of 11*g**4/30 + 4*g**3/5 + g - 39. Let p(j) = 0. Calculate j.
-12/11, 0
Suppose -4*t + 30 = -2*t. Let v = -658 - -664. Suppose -t*r**2 + 4*r + 1 - 4*r**3 - 19*r - r**3 - v = 0. Calculate r.
-1
Let g(x) be the first derivative of -x**8/560 - 9*x**7/280 - x**6/8 - 7*x**5/40 + 43*x**3 - 99. Let m(w) be the third derivative of g(w). Factor m(f).
-3*f*(f + 1)**2*(f + 7)
Let y = 118 + -116. Let c = -2/787 + 793/2361. What is a in 1/3*a - 1/3*a**3 + c*a**y - 1/3 = 0?
-1, 1
Factor -348/7*r + 576/7 - 27/7*r**3 - 1/7*r**4 - 200/7*r**2.
-(r - 1)*(r + 6)**2*(r + 16)/7
Let h(u) be the second derivative of -u**7/42 - 131*u**6/30 - 4819*u**5/20 - 11163*u**4/4 - 4432*u. Solve h(t) = 0 for t.
-61, -9, 0
Let l(h) = -2*h**3 - h**2 - h + 1. Let v(q) = -q**4 + 15*q**3 + 30*q**2 + 16*q - 1. Let o(n) = l(n) + v(n). Let o(f) = 0. Calculate f.
-1, 0, 15
Let d be 575/69 + -3 + 8/3. Factor -4/3*p**4 - d*p + 28/3*p**2 + 0*p**3 + 0.
-4*p*(p - 2)*(p - 1)*(p + 3)/3
Let k(c) = -2*c**3 + 16*c**2 + 11*c - 85. Let p be k(8). Let n(i) be the third derivative of -1/21*i**p + 1/210*i**5 + 0 + 6*i**2 + 0*i + 0*i**4. Factor n(j).
2*(j - 1)*(j + 1)/7
Let v(z) = -2*z**5 - 5*z**4 + 9*z**3 - z**2 - 16*z - 1. Let u(l) = l**5 + 5*l**4 - l**3 + l**2 + 1. Let t(j) = 4*u(j) + 4*v(j). Find m such that t(m) = 0.
-2, 0, 2
Let v(j) be the first derivative of 0*j - 17 + 10/9*j**3 - 1/6*j**4 - 2*j**2. Solve v(z) = 0.
0, 2, 3
Solve 21*v**4 + 4*v**2 - v**5 + 4 - 28*v**3 + 36*v - 67*v**2 + 11*v**5 + 20*v**2 = 0.
-2, -1/10, 1
Let y be 5 - (-2 + (-8)/(-6) + 210/(-90)). Let b(a) be the second derivative of a**4 + 0 - a - y*a**2 - 22/3*a**3. Solve b(j) = 0 for j.
-1/3, 4
Let o = -257 + 900. Determine z, given that o*z**2 - 9*z**5 - 1291*z**2 - 25*z**4 - 12*z**3 + 652*z**2 = 0.
-2, -1, 0, 2/9
Let s(w) be the first derivative of -7*w**4/8 + 17*w**3/6 + 99*w**2/4 - 45*w/2 - 5440. Solve s(c) = 0.
-3, 3/7, 5
Let d be ((-63)/2)/((-11)/((-88)/(-6))). Let t = -40 + d. Factor 3*n - 1 + 0 - 6*n + n**t + 3.
(n - 2)*(n - 1)
Let c(h) = -8*h**2 + 1983*h + 130. Let l(d) = 11*d**2 - 2975*d - 182. Let j(u) = 7*c(u) + 5*l(u). Suppose j(q) = 0. Calculate q.
-994, 0
Suppose -60*f + 36533 - 833 = 0. Let r = f - 590. Factor 0*c**2 - 2/3*c**4 + 0*c + 0*c**3 + 0 + 2/3*c**r.
2*c**4*(c - 1)/3
Let m(w) be the first derivative of -1/3*w**3 + 1/72*w**6 + 0*w**2 - 1/8*w**5 + 0*w**4 + 0*w + 10. Let g(f) be the third derivative of m(f). Factor g(a).
5*a*(a - 3)
Suppose 1052 = 910*t - 1678. Factor -8/3 + 46/9*p - 2/9*p**t - 20/9*p**2.
-2*(p - 1)**2*(p + 12)/9
Let t = 162 - 84. Let y be (-1)/(33/(-27))*52/t. What is j in -4/11*j**2 + 0 + 0*j - 2/11*j**4 + y*j**3 = 0?
0, 1, 2
Let l be -7*(676/(-182) - 6/(-2)). Let h(b) be the first derivative of -4/85*b**l - 22 + 0*b**4 - 1/51*b**6 + 0*b + 4/51*b**3 + 1/17*b**2. Factor h(w).
-2*w*(w - 1)*(w + 1)**3/17
Let g(f) be the first derivative of 13*f**6/9 + 33*f**5/10 - f**4/2 - 2*f**3/9 + 511. Solve g(a) = 0 for a.
-2, -2/13, 0, 1/4
Let a = 99238 + -694658/7. Suppose 0 - 24/7*l**2 + 2/7*l**5 + 26/7*l**3 + a*l - 12/7*l**4 = 0. What is l?
0, 1, 2
Let k(z) = 2*z**2 - 2*z + 5. Let q(l) = -l**3 - 1875*l**2 - 1149465*l - 237176704. Let t(s) = 18*k(s) + 2*q(s). Factor t(x).
-2*(x + 619)**3
Find w, given that -1/3*w**2 + 62 - 25/3*w = 0.
-31, 6
Let v = -55 + 57. Find p such that 5*p**4 + 55*p - 17*p**4 + 112*p**3 - 55*p**2 - 77*p**v - 23*p = 0.
0, 1/3, 1, 8
Factor 21/4*v**3 - 17/2*v**2 - 1/4*v**4 - 21*v + 38.
-(v - 19)*(v - 2)**2*(v + 2)/4
Let r = 10649 - 10646. Let o(n) be the first derivative of 0*n**4 - 2/3*n - 2/15*n**5 + 0*n**2 + 3 + 4/9*n**r. Factor o(i).
-2*(i - 1)**2*(i + 1)**2/3
Let o = 587456/9 - 65272. Factor 26/9*t**2 - 8/9*t - 10/9*t**3 - o.
-2*(t - 2)*(t - 1)*(5*t + 2)/9
Suppose 436*c**2 - 356*c**3 - 27*c**4 + 3*c**4 + 52*c**2 - c + 641*c = 0. Calculate c.
-16, -5/6, 0, 2
Let c(i) be the second derivative of 2*i**6/45 + 29*i**5/30 + 67*i**4/9 + 68*i**3/3 + 24*i**2 + 6750*i. Let c(d) = 0. What is d?
-6, -2, -1/2
Let n be 1 + -12 + 24/(((-405)/24)/(-9)). Factor 6/5*k - 3/5*k**2 + n.
-3*(k - 3)*(k + 1)/5
Let t be ((-12005)/(-70))/(-49)*10/(-95)*2. Let -2/19*b**2 - 20/19 + t*b = 0. Calculate b.
2, 5
Let a(o) be the first derivative of 35*o**6/6 + 1115*o**5/3 + 5905*o**4/12 - 4015*o**3/9 - 3005*o**2/3 - 520*o - 8143. Determine k so that a(k) = 0.
-52, -1, -2/3, -3/7, 1
Let j be (940/(-3760))/((-3)/64). Let f(r) be the second derivative of 0*r**2 - j*r**3 + 0 + 14*r - 1/3*r**4. Factor f(m).
-4*m*(m + 8)
Suppose -5*w + 32 = 12. Let f(l) = -l**2 + 3*l + 270. Let m be f(18). Factor 3*g**2 - 3/2 + m*g + 0*g**3 - 3/2*g**w.
-3*(g - 1)**2*(g + 1)**2/2
Let n be 4/6 - (-4)/(-18). Let j(q) be the first derivative of -4/3*q**2 - 1/18*q**4 - 16/9*q - n*q**3 - 7. Solve j(h) = 0.
-2
Let n(z) be the second derivative of -z**6/90 - 7*z**5/60 - 5*z**4/12 - 13*z**3/18 - 2*z**2/3 - z + 12. Factor n(u).
-(u + 1)**3*(u + 4)/3
Let f be 50/75*1/(1/3). Factor -m**f - 3*m**2 + 111*m**3 - 121*m**3 - m**2 - 5*m**4.
-5*m**2*(m + 1)**2
Let p = 22238/35 + -2954/5. Factor p*t + 12168/7 + 2/7*t**2.
2*(t + 78)**2/7
Let w(d) be the second derivative of d**6/6 + 6*d**5 + 305*d**4/4 + 1150*d**3/3 + 750*d**2 + 290*d + 1. Factor w(n).
5*(n + 1)*(n + 3)*(n + 10)**2
Let l(s) be the third derivative of -s**5/90 - 7*s**4/36 - 2*s**3/3 - s**2 - 226. What is y in l(y) = 0?
-6, -1
Find q, given that 402/5*q - 72 + 21/5*q**2 - 12*q**3 - 3/5*q**4 = 0.
-20, -3, 1, 2
Suppose -5*w = -2*n + 37, 9*w + 4 = -n + 7*w. Solve -2*h**2 + 8*h**2 + 9*h + 18 + n*h**2 - 11*h**2 = 0.
-6, -3
Let s = 80 - 75. Let h(l) = 6*l**3 + 30*l**2 + 48*l + 31. Let o(t) = 4*t**3 + 20*t**2 + 32*t + 21. Let r(z) = s*h(z) - 7*o(z). Factor r(f).
2*(f + 1)*(f + 2)**2
Let z = 1585 - 1578. Let p(f) be the third derivative of f**2 + 0*f - 2/945*f**z + 0 - 1/1512*f**8 + 0*f**3 - 1/540*f**6 + 0*f**5 + 0*f**4. Factor p(o).
-2*o**3*(o + 1)**2/9
Let c = 41291/82574 - 2/41287. Let y(h) be the first derivative of -2/3*h - 1/9*h**3 - c*h**2 + 10. Solve y(z) = 0.
-2, -1
Let r(p) be the first derivative of -5*p**4/4 - 575*p**3/3 - 1135*p**2/2 - 565*p + 1689. Factor r(z).
-5*(z + 1)**2*(z + 113)
Let m(p) = -101*p**3 + 621*p**2 + 1910*p + 1280. Let d(o) = 380*o**3 - 2485*o**2 - 7640*o - 5120. Let u(w) = 4*d(w) + 15*m(w). Factor u(k).
5*(k - 128)*(k + 1)*(k + 2)
Let g(j) be the third derivative of -3*j**8/8960 + j**7/672 + j**6/240 - j**5/40 + j**4/6 + 17*j**2 - j. Let d(x) be the second derivative of g(x). Factor d(a).
-3*(a - 2)*(a + 1)*(3*a - 2)/4
Let m(h) = -14*h**3 + 12*h**2 - 14*h - 2. Let u(w) = -76*w**3 + 59*w**2 - 71*w - 11. Let g(l) = -22*m(l) + 4*u(l). Factor g(o).
4*o*(o - 6)*(o - 1)
Factor -162*r**2 - 3*r**3 + 233*r - 28*r + 268*r + 140*r - 100*r.
-3*r*(r - 3)*(r + 57)
Let t be -75*(-14)/28 - 30. Factor -225/4*a - 1/4*a**3 + t*a**2 + 0.
-a*(a - 15)**2/4
Let d = -178 - -174. Let l(s) = 6*s**2 - 17*s + 41. Let j(m) = -5*m**2 + 16*m - 40. Let w(z) = d*l(z) - 5*j(z). Determine x, given that w(x) = 0.
6
Let c = 286567 - 859699/3. Find t such that -c*t - 1/6*t**2 - 1/2 = 0.
-3, -1
Let v(d) be the second derivative of -17*d**3/6 + 86*d**2 - 10*d. Let z be v(10). Find t, given that -1/2 + 5/4*t**3 - 5/4*t + 1/2*t**z = 0.
-1, -2/5, 1
Let n(w) = 23*w**3 - 142*w**2 + 714*w + 6. Let v(c) = -20*c**3 + 140*c**2 - 715*c - 5. Let i(x) = -5*n(x) - 6*v(x). Factor i(r).
5*r*(r - 18)*(r - 8)
Let u(m) = 2*m**2 + m - 3. Let v(x) be the third derivative of x**5/60 - x**3/6 + 17*x**2 - 2. Let t(o) = -6*u(o) + 13*v(o). Find f, given that t(f) = 0.
1, 5
Let y be -10*4459/2730*24/(-35). Solve y*l + 0 + 2/5*l**2 = 0 for l.
-28, 0
Let d = 3/20 + 7/20. Let x be (-6)/5*(-32 - 1806/(-63)). What is c in 1/2*c**2 + 0 - d*c**x + c**3 - c = 0?
-1, 0, 1, 2
Find x such that 1/6*x**4 - 5/2*x**3 + 7 + 67/6*x + 3/2*x**2 = 0.
-1, 3, 14
Let k(q) = -q**2 + 20*q - 8. Let v be k(18). Suppose 35*t - v*t - 14 = 0. Find i such that -14/3 - 22/3*i - 8/3*i**t = 0.
-7/4, -1
Let g = 9354 + -9343. Let y(v) be the first derivativ