hat is o in b(o) = 0?
-2, -1, 0, 1
Let g(r) be the third derivative of r**5/15 + 3*r**4/2 - 20*r**3/3 - 400*r**2. Suppose g(k) = 0. Calculate k.
-10, 1
Let k(c) be the first derivative of -6*c**5/35 - 24*c**4/7 + 22*c**3/7 + 2178*c**2/7 - 660. Let k(s) = 0. What is s?
-11, 0, 6
Let c(j) = -j**3 - j**2 - 56. Let a be c(0). Let l = a + 81. Factor -h + l*h**2 + 0*h**4 + h**3 - 24*h**2 - h**4.
-h*(h - 1)**2*(h + 1)
Factor 1588*x**3 - 3153*x**3 + 1574*x**3 + 3*x**4.
3*x**3*(x + 3)
Let t(y) be the first derivative of 0*y**2 + 2 + 1/6*y**4 + 0*y**3 - 6*y + 1/10*y**5. Let a(l) be the first derivative of t(l). Let a(n) = 0. Calculate n.
-1, 0
Let p = 15246 + -15242. Determine g, given that 32/3*g**2 + 8/3 + 28/3*g + p*g**3 = 0.
-1, -2/3
Let v(g) be the third derivative of -g**6/40 - 7*g**5/5 + 31*g**4/8 + 29*g**3 + 277*g**2. Suppose v(j) = 0. What is j?
-29, -1, 2
Let b be (15/(-50))/((-231)/(-88))*(1 - 8). Factor 0 + 0*l**2 - b*l + 4/5*l**3.
4*l*(l - 1)*(l + 1)/5
Suppose 0 = -5*t + 4*t + 6. Let q be 1 + (3 - 2/2). Solve -t*x**4 + q*x**3 + 0*x**5 + 0*x**3 - 2*x**5 + 5*x**5 = 0.
0, 1
Let r(p) be the second derivative of -p**6/105 - 3*p**5/70 + 11*p**4/42 + p**3/7 - 10*p**2/7 + 182*p. Suppose r(y) = 0. Calculate y.
-5, -1, 1, 2
Factor 332/9*x**2 + 56/9*x**3 + 2/9*x**4 - 280/3*x + 50.
2*(x - 1)**2*(x + 15)**2/9
Let o = -14330 - -28663/2. Determine r so that 0 - 3*r + o*r**2 + 9*r**3 = 0.
-2/3, 0, 1/2
Let l(h) be the third derivative of -1/24*h**4 + 0 + 1/72*h**5 + 0*h - 8*h**2 + 1/36*h**3. Factor l(c).
(c - 1)*(5*c - 1)/6
Suppose -5*o + 15 = 2*z, 0 = 2*z + z - o - 14. Suppose z*w - 21 = 4. Factor -4*p**3 + 14*p**2 - w*p**4 + 6*p + 3*p**4 - 2*p - 12*p**4.
-2*p*(p - 1)*(p + 1)*(7*p + 2)
Let n(q) be the third derivative of 0 + 1/540*q**6 + 0*q**3 + 0*q**5 + 0*q - 1/108*q**4 - 26*q**2. Factor n(u).
2*u*(u - 1)*(u + 1)/9
Let t be (0 - 8/(-14))*(-1470)/(-1260). Suppose t*f**5 + 0*f**3 + 4/3*f**4 - 2/3*f + 0 - 4/3*f**2 = 0. Calculate f.
-1, 0, 1
Find j, given that -93*j**2 - 5*j**3 + 0 + 1 - 1 + 178*j**2 = 0.
0, 17
Let t(r) = r**3 - 14*r**2 + 12*r + 15. Let q be (18/(-4) - 2)/((-5)/10). Let p be t(q). Suppose 1/5*n + 2/5*n**p + 0 + 1/5*n**3 = 0. Calculate n.
-1, 0
Suppose 2*c - 1 = -i + 5, 2*i - 5 = 3*c. Factor -1 - 4*f**3 + 2*f**4 + f - i*f + 7*f - 1.
2*(f - 1)**3*(f + 1)
Let d(p) = 11*p**4 - 9*p**3 - 8*p**2 + 36*p + 8. Let s(x) = -4*x**4 + 3*x**3 + 3*x**2 - 13*x - 3. Let i(y) = 3*d(y) + 8*s(y). Factor i(q).
q*(q - 2)**2*(q + 1)
Suppose 68 = 18*r + 8*r + 8*r. Factor -8/3 - 4/3*d**r - 4*d.
-4*(d + 1)*(d + 2)/3
Suppose -11*t + 3*t = -16. Factor 9*p - 2*p**2 + t - 2 - p.
-2*p*(p - 4)
Let s(g) be the second derivative of -g**6/105 + 12*g**5/35 + 13*g**4/7 + 80*g**3/21 + 27*g**2/7 + 223*g - 1. Factor s(t).
-2*(t - 27)*(t + 1)**3/7
Solve 23 - 7*c**3 - 114*c**2 + 3 + 87*c + 20 - 12 + 0 = 0.
-17, -2/7, 1
Let p(x) = 0*x + 2 - x**2 + 2*x**2 - 2*x. Let f(q) = q**2 - 3*q + 2. Let i(r) = r - 2. Let m be i(8). Let c(b) = m*p(b) - 5*f(b). What is z in c(z) = 0?
-2, -1
Let r(b) be the third derivative of -b**7/210 + 7*b**5/60 - b**4/4 + 27*b**2 - 3*b. Factor r(u).
-u*(u - 2)*(u - 1)*(u + 3)
Solve -174/11 - 64/11*a - 2/11*a**2 = 0.
-29, -3
Let v(f) be the second derivative of f**4/60 + 39*f**3/10 + 349*f. Factor v(y).
y*(y + 117)/5
Let c(b) be the first derivative of 6*b - 7*b**2 + 7 + 4/3*b**3. Find s, given that c(s) = 0.
1/2, 3
Let n(d) be the second derivative of 1/3*d**4 - 2/3*d**3 + 0*d**2 + 0 - 21*d. Factor n(u).
4*u*(u - 1)
Let g(o) = 19*o + 1. Let w be g(1). Suppose 7*d = 3*d + w. Determine q, given that -2*q**4 - q**2 - q**3 + q**4 + q**d + 2*q**2 = 0.
-1, 0, 1
Let k(w) be the first derivative of -w**6/105 - w**5/35 + w**4/42 + 2*w**3/21 + 11*w - 5. Let h(l) be the first derivative of k(l). Factor h(i).
-2*i*(i - 1)*(i + 1)*(i + 2)/7
Suppose 12*j + 31*j - 4*j**2 - 63*j = 0. What is j?
-5, 0
Let y be 8*(-5)/(-10) + -10. Let n(o) = -o**4 + o**3 + 6*o**2 - 6*o. Let d(r) = r**4 - r**3 - 5*r**2 + 5*r. Let j(x) = y*d(x) - 5*n(x). Factor j(z).
-z**3*(z - 1)
Let i(f) be the second derivative of f**6/75 + 4*f**5/25 - 12*f**4 + 864*f**3/5 - 5616*f**2/5 + 6*f + 2. Factor i(b).
2*(b - 6)**3*(b + 26)/5
Suppose 3*z - 4*s = -2, 0*z - 5*z + s = -8. Factor -w**3 - z*w**2 + 4*w**3 + 12*w**4 - w**3 + 0*w**2.
2*w**2*(2*w + 1)*(3*w - 1)
Let i(k) be the second derivative of -k**7/2940 + k**6/315 - k**5/84 + k**4/42 + 2*k**3 - 13*k. Let r(q) be the second derivative of i(q). Factor r(n).
-2*(n - 2)*(n - 1)**2/7
Let r(s) be the third derivative of s**5/120 - 77*s**4/24 + 5929*s**3/12 + 80*s**2. Determine n, given that r(n) = 0.
77
Factor 3*h**3 + 9/4*h + 0 + 21/4*h**2.
3*h*(h + 1)*(4*h + 3)/4
Let a(m) be the third derivative of -m**7/840 + m**6/60 - m**5/10 - 11*m**4/24 - 9*m**2. Let h(x) be the second derivative of a(x). Let h(t) = 0. Calculate t.
2
Let v = 341/144 - 17/144. Find g, given that -3/4*g**4 - 21/4*g**2 + 0 - v*g - 15/4*g**3 = 0.
-3, -1, 0
Let z = -1/905 + 12673/2715. Factor -4 - 2/3*j**2 - z*j.
-2*(j + 1)*(j + 6)/3
Let g = -10574404/235 - -44997. Let c = -3/47 - g. Find y such that -c*y**5 - 6/5*y**3 + 0 + 0*y - 8/5*y**4 + 0*y**2 = 0.
-3, -1, 0
Find b, given that 684/7*b + 3/7*b**2 + 38988/7 = 0.
-114
Let o(h) be the third derivative of -h**7/175 - 11*h**6/600 + h**5/150 + 18*h**2 - 2. Solve o(f) = 0 for f.
-2, 0, 1/6
Let c be 3 + (-1481)/531 + 4/(-18). Let u = 116/177 - c. Determine a so that -u*a + 2/3*a**2 + 0 = 0.
0, 1
Let x be (-8)/6*18/(-8). Find s such that -s**2 + 1 - 3 + 0 - x*s = 0.
-2, -1
Let c = -19268 - -19272. Factor -c*a - 2/3*a**2 - 6.
-2*(a + 3)**2/3
Let r = 3/320 - -381/320. Factor -3/5*g**4 + 0*g**3 + 0*g + r*g**2 - 3/5.
-3*(g - 1)**2*(g + 1)**2/5
Determine h, given that 1/2*h**3 + 1/2*h + 21 - 4*h**2 = 0.
-2, 3, 7
Let m(x) be the first derivative of x**3/18 + 5*x**2/4 - 50*x/3 - 414. Determine p so that m(p) = 0.
-20, 5
Let g = 8002/9 - 889. Factor 0*b + 0 - g*b**2.
-b**2/9
Let p(y) be the second derivative of y**4/6 + 82*y**3/3 + 81*y**2 + 343*y. Factor p(k).
2*(k + 1)*(k + 81)
Factor -6*q + 15 + 3/5*q**2.
3*(q - 5)**2/5
Let g = 21 - 17. Suppose d + 2 = g. Find w, given that 0 - 3/5*w**3 - 3/5*w - 6/5*w**d = 0.
-1, 0
Let d(g) be the second derivative of g**7/210 - 7*g**6/45 + 2*g**5 - 12*g**4 - 3*g**3/2 + 47*g. Let t(i) be the second derivative of d(i). Factor t(a).
4*(a - 6)**2*(a - 2)
Let j(m) be the third derivative of 2/5*m**4 + 0*m - 2*m**2 - 41 + 13/300*m**5 + 1/600*m**6 + 6/5*m**3. Suppose j(q) = 0. Calculate q.
-6, -1
Suppose 3*z = 3, -3*k - 5*z + 6 = 1. Find t, given that k*t + 8/3*t**3 + 0 + 4/3*t**4 + 4/3*t**2 = 0.
-1, 0
Suppose -8*a + 15*a = 763. Factor -a*y + 30*y + 10 + 39*y + 32*y - 2*y**2.
-2*(y - 1)*(y + 5)
Let a(h) be the second derivative of -h**7/21 - 8*h**6/15 - 8*h**5/5 - 51*h. Factor a(r).
-2*r**3*(r + 4)**2
Let y(z) be the first derivative of -21/2*z**2 + 44 + 6*z + 21/4*z**4 - 2*z**3. Suppose y(u) = 0. Calculate u.
-1, 2/7, 1
Let x(n) be the third derivative of -n**8/40320 - n**7/2520 + 7*n**5/60 + 9*n**2. Let b(i) be the third derivative of x(i). Solve b(f) = 0 for f.
-4, 0
Suppose -1/4*y**3 + 17/4*y + 1/4*y**2 + 15/4 = 0. Calculate y.
-3, -1, 5
Let b = -960 + 3843/4. Let 0 - b*v**2 - 3/4*v = 0. Calculate v.
-1, 0
Let v(k) be the second derivative of -7*k**6/45 - 23*k**5/30 + k**4/18 + 23*k**3/9 + 2*k**2 + 3*k - 17. Solve v(x) = 0 for x.
-3, -1, -2/7, 1
Let h = 8349 + -41744/5. Factor -2/5*j + 1/5 + h*j**2.
(j - 1)**2/5
Let a(s) = -s**2 - 5*s. Let y be a(-4). Suppose 0 = i + o - y, 0 = -o - 3*o. Find p such that 3*p + 6*p + 4*p - 6 - 3*p**2 - i*p = 0.
1, 2
Let v(p) = -2*p**2 - 10*p - 8. Let b(d) = 2*d**2 + 9*d + 6. Let n(z) = -4*b(z) - 3*v(z). What is a in n(a) = 0?
-3, 0
Let c(t) be the second derivative of -t**7/3150 - t**6/180 + 2*t**4/3 - 7*t. Let p(m) be the third derivative of c(m). Factor p(n).
-4*n*(n + 5)/5
Let x(k) = 6*k**3 + 12*k**2 - 10*k - 10. Let z be ((-4)/(-8) + -1)*-20. Let c(p) = 2*p**3 + 4*p**2 - 3*p - 3. Let d(q) = z*c(q) - 3*x(q). Factor d(f).
2*f**2*(f + 2)
Find w such that 13/5*w**4 + 129/5*w**2 - 18/5*w - 16*w**3 + 0 = 0.
0, 2/13, 3
Let c(q) be the third derivative of -q**5/15 - 8*q**4/3 - 13*q**2 - 3*q. Factor c(h).
-4*h*(h + 16)
Suppose -4*a - 2*j - 2 = 0, 2*a + 3*j + 3 = a. Factor a*f + 3*f**2 + f - 