w**4 - 202*w**3 - 586*w**2 - 218*w - 6. Let y(v) = -v**4 - 2*v**3 - v**2 - 3*v - 1. Let n(g) = -h(g) + 6*y(g). Let n(t) = 0. What is t?
-2, -2/5, 0, 10
Suppose 0 = 4*f + 5*q - 284, -182 = -q - 178. Suppose -56*l - 20 = -f*l. Let 0*y**l + 1/9*y**4 + 0 + 0*y + 1/3*y**3 = 0. What is y?
-3, 0
Let g(n) be the third derivative of 0*n**3 - 33*n**2 + 1/4*n**4 + 1/120*n**5 + 0 + 0*n. Factor g(w).
w*(w + 12)/2
Let x(m) be the third derivative of 0*m**5 + 2/3*m**3 + 0 + 1/12*m**4 + 0*m - 1/180*m**6 - 10*m**2. Let l(j) be the first derivative of x(j). Factor l(n).
-2*(n - 1)*(n + 1)
Let v = -210 + 212. Factor -8*a + a + 4*a + 0*a + 6*a**v.
3*a*(2*a - 1)
Let o(r) be the third derivative of 0 + 1/66*r**4 + 0*r**3 - 7/330*r**5 - 42*r**2 + 3/220*r**6 + 1/1848*r**8 + 0*r - 1/231*r**7. Suppose o(w) = 0. Calculate w.
0, 1, 2
Let j(y) be the second derivative of -8/3*y**3 - 13/2*y**2 - 7/15*y**5 + 0 - 8/3*y**4 - 16*y. Let g(a) be the first derivative of j(a). Factor g(t).
-4*(t + 2)*(7*t + 2)
Let b(c) be the third derivative of c**5/90 - 3941*c**4/18 + 15531481*c**3/9 - 2055*c**2 - 2. Suppose b(i) = 0. What is i?
3941
Let 636/7*d**2 + 48/7*d**4 + 1984/7*d - 362/7*d**3 - 2304/7 - 2/7*d**5 = 0. What is d?
-2, 1, 8, 9
Let k(g) be the third derivative of -2*g**7/35 - 9*g**6 + 731*g**5/20 - 459*g**4/8 + 46*g**3 - 232*g**2. Let k(c) = 0. What is c?
-92, 1/2, 1
Let n(y) be the second derivative of 3*y**5/10 - 23*y**4/6 + 175*y**3/9 - 49*y**2 - 1998*y - 1. Factor n(z).
2*(z - 3)*(3*z - 7)**2/3
Let t(g) be the third derivative of g**6/180 + 11*g**5/90 + 2*g**4/9 - 20*g**3/9 - 253*g**2. Suppose t(j) = 0. Calculate j.
-10, -2, 1
Let k(v) be the third derivative of -1/105*v**6 + 1/42*v**4 + 15*v**2 + 4/105*v**5 - 4/735*v**7 + 0 - 4/21*v**3 + 1/588*v**8 + 0*v. Solve k(r) = 0.
-1, 1, 2
Let 3610/13*w + 0 - 2/13*w**5 + 3268/13*w**2 - 68/13*w**4 - 408/13*w**3 = 0. Calculate w.
-19, -1, 0, 5
Let w(c) be the first derivative of -c**6/6 - 2*c**5 + 37*c**4/2 + 272*c**3/3 + 287*c**2/2 + 98*c + 447. Factor w(h).
-(h - 7)*(h + 1)**3*(h + 14)
Suppose 2*j**3 + 0 - 80/3*j + 2/3*j**4 - 12*j**2 = 0. What is j?
-5, -2, 0, 4
Let w = 107 + -98. Factor -12*k**3 - 6*k**2 - 11*k**2 + 0*k**2 + w*k**2.
-4*k**2*(3*k + 2)
Let c(h) = 16*h**2 + 406*h - 412. Let g(i) = -23*i**2 - 608*i + 617. Let v(y) = 7*c(y) + 5*g(y). Factor v(m).
-3*(m - 1)*(m + 67)
Let w(f) = -3*f**3 + 9*f - 17. Let t be w(7). Let x = -6835/7 - t. Determine n so that -x*n**3 + 10/7*n**2 + 38/7*n**4 + 6/7*n - 8/7*n**5 + 0 = 0.
-1/4, 0, 1, 3
Let v be 6/(-39) - (3284/(-52) + 4). Suppose -55 = -2*h + v. Factor h - 36*q - 3*q**2 - 77 - 88.
-3*(q + 6)**2
Let s(l) be the first derivative of -l**3 + 87*l**2 - 648*l - 724. Solve s(b) = 0.
4, 54
Let t(p) be the second derivative of p**7/14 + 7*p**6/10 - 81*p**5/10 - 297*p**4/2 - 1755*p**3/2 - 5103*p**2/2 + 287*p + 4. Suppose t(g) = 0. What is g?
-7, -3, 9
Let q = 746 + -743. Suppose -10 = -3*g + 2*i, -4 = -2*g + q*g + 3*i. Factor -4/3*s + 5/6*s**g - 2/3.
(s - 2)*(5*s + 2)/6
Let w(a) = a**3 + 15*a**2 - 18*a - 29. Suppose -m + 7*m + 96 = 0. Let c be w(m). Suppose -27*p**3 - 2*p**2 - 2*p**2 - 4*p**4 + 35*p**c = 0. What is p?
0, 1
Let 9720 + 5/3*h**3 + 1620*h + 90*h**2 = 0. What is h?
-18
Let c = -72 + 56. Let d be c/(-56) + 36/21. Suppose 2*l**2 + d*l**2 - 72 + 68 = 0. What is l?
-1, 1
Suppose 0 = -13*y + 4*y + 144. Suppose 0 = 4*h + 2*x - 14, 5*h - x + 3*x = y. Factor 4/5 + 21/5*z + z**h.
(z + 4)*(5*z + 1)/5
Let -130/9*p**3 + 338/9*p**2 + 4/3*p**4 + 0 + 20/3*p = 0. Calculate p.
-1/6, 0, 5, 6
Let y = 4367969/12 - 363694. Let f = -1203/4 + y. Suppose f + 0*x - 2/3*x**2 = 0. What is x?
-2, 2
Let n(d) = 37*d**3 + d - 1. Let h(g) = -144*g**3 + 772*g**2 - 788*g - 1548. Let a(l) = h(l) + 4*n(l). Factor a(x).
4*(x - 2)*(x + 1)*(x + 194)
Let u(p) = 2*p - 10. Let g be u(-2). Let y be 4/g - (-2574)/91. Factor 5*q**2 + 2*q**3 + 0*q**3 + y + q**2 + 6*q - 26.
2*(q + 1)**3
Let v(x) be the third derivative of 2*x**7/105 - 32*x**6/15 + 224*x**5/5 - 1280*x**4/3 + 6656*x**3/3 + 2*x**2 + 376*x. Factor v(m).
4*(m - 52)*(m - 4)**3
Factor 4*a**3 - 1903*a + 1951*a - 85 - 11*a**2 - 37*a**2 + 405.
4*(a - 10)*(a - 4)*(a + 2)
Let b(q) be the third derivative of 316*q**2 - 99/100*q**5 + 0*q - 2401/10*q**3 + 1/200*q**6 + 2499/40*q**4 + 0. Factor b(r).
3*(r - 49)**2*(r - 1)/5
Let i(b) be the third derivative of -b**7/1680 - 3*b**6/160 - b**5/10 - 169*b**4/24 - 11*b**2 + b. Let r(t) be the second derivative of i(t). Factor r(w).
-3*(w + 1)*(w + 8)/2
Let l be -125*(2/(20/(-22)) + 34/17). Let g(c) be the second derivative of 0 + l*c + 1/48*c**4 - 1/6*c**3 + 1/2*c**2. Suppose g(y) = 0. Calculate y.
2
Let k(v) be the first derivative of 64 + 0*v + 1/4*v**3 - 9/32*v**4 + 0*v**2. Factor k(w).
-3*w**2*(3*w - 2)/8
Let t(h) be the third derivative of -h**7/840 - 7*h**6/60 - 27*h**5/40 - 33*h**4/8 - 19*h**2 + 2. Let i(u) be the second derivative of t(u). Solve i(q) = 0.
-27, -1
Let x = -8439 - -8439. Let l(z) be the third derivative of -1/8*z**4 - 1/20*z**5 + x*z**3 + 0 + 0*z + 15*z**2. Let l(c) = 0. What is c?
-1, 0
Suppose 0*a + 2*t = -3*a + 608, 3*a - 618 = 3*t. Let z be (4/7)/(-1 - a/(-196)). Find q such that 26/3*q - 2 - 10/3*q**2 - z*q**3 = 0.
-1, 1/3, 3/7
Let c(z) = 0 - 4 + 13*z - 16 - z**2. Let u be c(11). Let m(d) = -3*d**2 - 7*d - 5. Let h(w) = -w**2 - 3*w - 2. Let y(x) = u*m(x) - 5*h(x). Factor y(a).
-a*(a - 1)
Let c(d) be the second derivative of d**8/2800 - d**7/280 - 5*d**3/6 - 7*d**2/2 + d + 5. Let h(p) be the second derivative of c(p). Let h(i) = 0. Calculate i.
0, 5
Let z(a) be the first derivative of a**4/8 - 10*a**3/3 + 93*a**2/4 - 63*a - 4554. Factor z(j).
(j - 14)*(j - 3)**2/2
Suppose -72 = 2*d + 15*d - 1024. Let t(k) be the second derivative of -d*k**3 + 5*k + 0 - 121/10*k**5 - 253/6*k**4 - 36*k**2. Solve t(p) = 0 for p.
-1, -6/11
Factor -5*y**2 + 3100 - 2829*y + 3634*y - 2345*y.
-5*(y - 2)*(y + 310)
Suppose 5*p - 12 = g, -p - 4*g = 17 - 32. Let a(v) be the second derivative of -3/26*v**4 + 4/13*v**2 - 16/39*v**p + 0 + 17*v. Factor a(b).
-2*(b + 2)*(9*b - 2)/13
Let f(j) be the first derivative of 1/3*j + 1/6*j**2 + 1 + 1/36*j**3. Factor f(c).
(c + 2)**2/12
Suppose 7 = -j + 5*t, 0 = -5*j - 4*t + 3*t + 17. Suppose 15 = -j*c + 8*c. Factor d + 38*d**2 - 42*d**2 + c*d + d**3.
d*(d - 2)**2
Let c be ((-30)/(-33))/(344/1892). Let g(f) be the first derivative of 3/10*f**c + 3*f**2 + 0*f - 10 + 3/4*f**4 - 7/2*f**3. Determine z, given that g(z) = 0.
-4, 0, 1
Let w = -22855 + 1714127/75. Let i(p) be the second derivative of 0 + w*p**6 + 0*p**4 + 0*p**2 + 1/50*p**5 + 39*p + 0*p**3. Solve i(o) = 0 for o.
-1/2, 0
Find y, given that -844/5*y - 224/5*y**2 - 624/5 - 4/5*y**3 = 0.
-52, -3, -1
Let d(u) be the second derivative of -u**5/30 - 19*u**4/6 + 118*u**3/9 + 163*u + 5. Factor d(t).
-2*t*(t - 2)*(t + 59)/3
Let v = 30853/24 - 10279/8. Determine f so that -v*f**2 + 2 + 4/3*f = 0.
-1, 3
Let v be (15 + (-182)/13)/(1 - -2). Let x(u) be the first derivative of 0*u + 0*u**2 + 0*u**4 + 1/5*u**5 - v*u**3 - 7. Factor x(g).
g**2*(g - 1)*(g + 1)
Suppose -5*a = -3*f - 3, -4*a - 6 + 2 = -4*f. Let h = f + 4. Find w such that h + 1 + 0 + w**2 + 6*w = 0.
-3
Suppose 0 = 57*l - 48*l - 45. Factor 10 - 5*b**4 + 25*b**3 - 11*b + 11413*b**2 + 10 - 29*b - 5*b**l - 11408*b**2.
-5*(b - 1)**3*(b + 2)**2
Suppose 4*h - 5*x - 21 = 0, 5*h = 3*x - 2*x. Let j be (-4)/8 + h + 3/2. Determine w so that 4 - 2*w**2 - 6*w - 1 + 5*w**2 + j = 0.
1
Let g(n) be the third derivative of 0*n + 3/8*n**4 + 0 + 7/120*n**5 + 1/3*n**3 - 3/160*n**6 - 1/210*n**7 - 186*n**2. Solve g(k) = 0 for k.
-2, -1/4, 2
Solve -36/11 - 90/11*f - 38/11*f**2 - 4/11*f**3 = 0.
-6, -3, -1/2
Let a be (-3 + (-180)/(-6))*(-5)/(-15). Let z be a/72 - 35/(-360). Factor -1/3*s - 2/9 + z*s**2.
(s - 2)*(2*s + 1)/9
Let n(x) be the first derivative of -x**5/5 - 21*x**4/2 - 13*x**3 + 41*x**2 - 873. Find g, given that n(g) = 0.
-41, -2, 0, 1
Let h(x) = -105*x + 293*x - 56*x + 2*x**2 - 1447. Let f(o) = -o**2 - 132*o + 1448. Let v(i) = 5*f(i) + 4*h(i). Factor v(q).
3*(q - 22)**2
Let p = -484/101 - 5487/1616. Let m = 155/16 + p. Suppose -m*h**3 + 1/4*h**5 - 1/2*h**4 + 5/4*h + 2*h**2 - 3/2 = 0. What is h?
-2, -1, 1, 3
Let v(c) be the second derivative of -c**6/210 + 9*c**5/28 - 227*c**4/28 + 3679*c**3/42 - 1521