ivative of -j**6/3 - 12*j**5/5 - 5*j**4/2 + 40*j**3/3 + 36*j**2 + 32*j + 431. What is i in b(i) = 0?
-4, -2, -1, 2
Let c(y) be the first derivative of y**6/120 + y**5/8 + y**4/2 + 32*y**3/3 - 47. Let h(l) be the third derivative of c(l). Solve h(r) = 0 for r.
-4, -1
Find q such that -16/15 + 14/15*q**2 + 6/5*q + 2/15*q**4 - 6/5*q**3 = 0.
-1, 1, 8
Let i(z) = 4*z**4 + 4*z**3 + 16*z**2 + 6*z - 6. Let p(g) = g**4 + 2*g**3 + g**2 + g - 1. Let q(t) = -i(t) + 6*p(t). Determine f so that q(f) = 0.
-5, 0, 1
Let u(d) be the third derivative of d**7/70 + 3*d**6/40 + 3*d**5/80 - 13*d**4/32 - 3*d**3/4 - 444*d**2. Suppose u(p) = 0. What is p?
-2, -3/2, -1/2, 1
Let k(s) = 4*s**4 + s**3 + 2*s**2 - 7*s - 6. Let p(g) = -9*g**4 - g**3 - 4*g**2 + 15*g + 13. Let z(a) = -14*k(a) - 6*p(a). Factor z(y).
-2*(y - 1)*(y + 1)**2*(y + 3)
Let d(c) be the second derivative of 0*c**2 + 0*c**3 + 1/14*c**7 + 0 - 3/10*c**5 + 0*c**4 + 30*c - 1/10*c**6. Find u such that d(u) = 0.
-1, 0, 2
Let u(q) be the third derivative of -q**7/315 + 4*q**5/45 - 16*q**3/9 + 116*q**2. Determine y, given that u(y) = 0.
-2, 2
Let u be 909/2430 + (-6)/81. Let g(f) be the first derivative of -6 + 0*f + 3/20*f**4 + u*f**2 - 2/5*f**3. Determine d so that g(d) = 0.
0, 1
Let f(b) be the second derivative of -b**7/105 + 2*b**6/75 + 3*b**5/50 - 39*b + 2. Solve f(k) = 0.
-1, 0, 3
Let q be (18/(-45))/((-19)/5 + 2). Factor q*o**3 - 4/9 - 2/9*o + 4/9*o**2.
2*(o - 1)*(o + 1)*(o + 2)/9
Let y(o) = -o**4 - 2*o**3 + o - 1. Let t(q) = -q**5 + 3*q**4 + 15*q**3 + 7*q**2 - 12*q - 6. Let z(w) = -t(w) - 2*y(w). Suppose z(d) = 0. What is d?
-2, -1, 1, 4
Suppose 18/5*t**3 - 6 - 4/5*t**2 - 49/5*t + 2/5*t**4 - 1/5*t**5 = 0. What is t?
-3, -1, 2, 5
Suppose 5*w + 4*d = -6, -2*d = -4*w + w + 14. Factor 6 - 8*o**2 - w + 0 + 4*o**4.
4*(o - 1)**2*(o + 1)**2
Let f = 12/163 + 465/326. Let n(k) be the first derivative of -33/4*k**4 - f*k**2 + 13 + 6*k - 9/5*k**5 - 11*k**3. Determine q so that n(q) = 0.
-2, -1, 1/3
Let f(j) be the first derivative of 1/2*j**4 + 2/3*j**3 + 0*j - 25 + 0*j**2. Factor f(x).
2*x**2*(x + 1)
Suppose -24*t - 36 = -36*t. Suppose 5*x + 2 = 3*c, 0*c = t*x - 4*c + 10. Factor 1/2 - 3/4*s + 0*s**x + 1/4*s**3.
(s - 1)**2*(s + 2)/4
Let p(z) be the first derivative of z**4 - 4*z**3/3 + 2*z**2 - z + 64. Let a be p(1). Factor -1/2*t**2 + 3/2*t**a + 5/2*t**4 - 1/2*t + t**5 + 0.
t*(t + 1)**3*(2*t - 1)/2
Let z(l) = -l**3 + 3*l**2 + 5*l - 1. Let m(f) = -3*f + 1. Let p be m(-1). Let n be z(p). Factor -1 + 2*v**2 + 3*v**2 + 9*v - 5 + n*v**4 - 2*v**2 - 9*v**3.
3*(v - 2)*(v - 1)**2*(v + 1)
Let n(u) be the first derivative of -2*u**6/3 - 88*u**5/5 - 97*u**4 + 352*u**3 - 288*u**2 - 62. Factor n(b).
-4*b*(b - 1)**2*(b + 12)**2
Let u be (26/1950)/((-3)/(-60)). Factor 2/15*v**5 - 2/5*v**3 + 0 + u*v**4 - 8/15*v**2 + 8/15*v.
2*v*(v - 1)**2*(v + 2)**2/15
Let t(b) be the third derivative of b**8/280 + 37*b**7/525 + b**6/10 - b**5 + 47*b**4/60 + 11*b**3/5 + 3*b**2 - 91. Let t(d) = 0. Calculate d.
-11, -3, -1/3, 1
Let w(n) = -5*n. Let s(o) = -2*o**2 + 35*o - 48. Let t(b) = s(b) + 3*w(b). Factor t(m).
-2*(m - 6)*(m - 4)
Suppose -3*y - 12 = -3*l - 6*y, 3*y = 2*l + 2. Find d such that 6*d**2 + l*d**3 - 258*d + 4*d**2 + 246*d - 4*d**3 = 0.
0, 2, 3
Let r(u) be the third derivative of u**6/40 - 597*u**5/20 + 118803*u**4/8 - 7880599*u**3/2 - u**2 - 55. Determine b so that r(b) = 0.
199
Let j = -35 - -38. Let n be (-9)/12*(-4)/1. Determine h so that h**j - 4*h**2 - 4*h**2 - 5*h**n = 0.
-2, 0
Let h(i) be the second derivative of -5043*i**5/20 + 82*i**4 - 8*i**3 - 284*i. Factor h(g).
-3*g*(41*g - 4)**2
Solve -4 + k**3 + 15*k**2 - 33*k + 20 + 1 = 0 for k.
-17, 1
Let p(m) be the first derivative of 0*m - 3/11*m**2 - 11 - 5/22*m**4 - 16/33*m**3. Factor p(a).
-2*a*(a + 1)*(5*a + 3)/11
Let h be (-106)/(-636)*(18 - 0/1) - 1. Determine k, given that -12/5*k + 0*k**h + 0 + 3/5*k**3 = 0.
-2, 0, 2
Suppose -5*v = -2*i, -7 + 37 = 4*i + 5*v. Let p(x) be the third derivative of 1/60*x**i + 0*x**3 - x**2 + 0*x - 1/24*x**4 + 0. Factor p(b).
b*(b - 1)
Let c be (8/(-5))/(74/(-10) + 7). Factor -396*m - m**3 + 6*m**2 - 324 + m**3 - c*m**3 - 82*m**2.
-4*(m + 1)*(m + 9)**2
Let t(w) be the third derivative of w**6/480 - w**5/40 - w**4/6 + 754*w**2. Determine b, given that t(b) = 0.
-2, 0, 8
Factor -8/7 + 0*n + 2/7*n**3 + 6/7*n**2.
2*(n - 1)*(n + 2)**2/7
Let u(h) = 11*h + 2. Let m be u(0). Factor -1/2*k**m + 1/2*k + 1.
-(k - 2)*(k + 1)/2
Let c = 22/57 - 248/741. Let p(k) be the first derivative of 0*k**2 + c*k**3 + 3 - 8/13*k. Find z such that p(z) = 0.
-2, 2
Suppose 2/15*p**2 - 2/3*p + 4/5 = 0. What is p?
2, 3
Let t(q) = -2*q**3 - q**2 + q - 1. Let n(w) = 3*w**3 + 60*w**2 + 118*w + 2. Let l(a) = n(a) + 2*t(a). Let l(j) = 0. Calculate j.
-2, 0, 60
Let m(c) be the first derivative of -8/9*c + 4/3*c**3 + 14/9*c**2 + 6. Factor m(s).
4*(s + 1)*(9*s - 2)/9
Let l(b) be the third derivative of b**5/60 + b**4/3 - 148*b**2. Determine s, given that l(s) = 0.
-8, 0
Let d be 6/(-4 - (-6 + 3)). Let l be -4 - 48/(-9)*d/(-4). Suppose 1/2*w**l + 0*w**3 + 0*w + 0 - 1/2*w**2 = 0. What is w?
-1, 0, 1
Let c(j) be the third derivative of j**7/420 + j**6/180 + j**4/12 + j**2. Let m(z) be the second derivative of c(z). Find b, given that m(b) = 0.
-2/3, 0
Let a be 128/24 - 6/(-9). Let o be a/105*-5 + (-76)/(-70). Determine f, given that 0*f - 6/5*f**4 + 0 - o*f**3 + 0*f**2 = 0.
-2/3, 0
Solve -29/2*a**3 + 1/2*a**5 + 100*a - 7/2*a**4 - 1000 + 235/2*a**2 = 0 for a.
-4, 5
Let c = 9830 - 29773/3. Let u = c + 95. Factor -u*n**3 + 14/3*n + 8/3 + 4/3*n**2.
-2*(n - 4)*(n + 1)**2/3
Suppose -4*c - 1 = 23. Let t(k) = -k**3 + 1. Let q(f) = -24*f - 9*f**2 + 60*f**3 - 3*f**2 + 10 - 24*f**2. Let y(s) = c*t(s) - q(s). Factor y(r).
-2*(3*r - 2)**2*(3*r + 2)
Find f such that -124/9*f**3 - 130/9*f**2 - 32/9 - 2*f**4 + 304/9*f = 0.
-4, 1/9, 1
Factor -5/2*j**3 + 55/2*j**2 + 5/2*j - 55/2.
-5*(j - 11)*(j - 1)*(j + 1)/2
Let u(j) be the first derivative of -3*j**4/8 + 3*j**3/2 + 3*j**2/4 - 9*j/2 - 324. Factor u(c).
-3*(c - 3)*(c - 1)*(c + 1)/2
Factor 8/9 + 4/3*a - 8/9*a**2.
-4*(a - 2)*(2*a + 1)/9
Let m(r) = 6*r**5 - 12*r**3 - 14*r**2 + 34*r. Let u(b) = b**5 - b**4 - b**3 - b**2 + 4*b. Let z(x) = -5*m(x) + 35*u(x). Determine j so that z(j) = 0.
-1, 0, 1, 6
Let h(s) be the second derivative of s**4/12 - s**3/6 - 36*s**2 + 3*s - 16. Factor h(t).
(t - 9)*(t + 8)
Let h(c) be the first derivative of 2*c**6/15 - 4*c**5/5 + 3*c**4/5 + 68*c**3/15 - 56*c**2/5 + 48*c/5 - 162. Find y, given that h(y) = 0.
-2, 1, 2, 3
Let x = 10687 - 74806/7. Factor 0 + x*a**2 + 24/7*a.
3*a*(a + 8)/7
Determine x so that -4*x**2 + 29*x**2 + 24*x**3 - 4*x**2 - 3*x**4 - 3*x**5 + 15*x**2 = 0.
-2, 0, 3
Let w(d) be the first derivative of -4*d**3/3 + 292*d**2 - 21316*d - 137. Factor w(x).
-4*(x - 73)**2
Let k(p) = -10*p**2 + 29*p + 108. Let l be k(5). Find o, given that 4/3*o**l - 4/3*o - 2/3*o**4 + 8/3*o**2 - 2 = 0.
-1, 1, 3
Suppose -n = -8*n + 14. Solve -n*d + 3*d**3 + 3*d**2 - 8*d**2 - 7*d - d**2 = 0 for d.
-1, 0, 3
Factor 65/2*d**2 - 5/4*d**5 + 5/4*d**4 + 25/4 + 95/4*d + 35/2*d**3.
-5*(d - 5)*(d + 1)**4/4
Let -15*j + 4*j**3 + 154 + 331*j + 44*j**2 - 2*j**4 + 0*j**4 + 124*j**2 = 0. What is j?
-7, -1, 11
Factor 70036*m + 91125 + 5*m**4 - 400*m**3 - 20*m**3 - 13336*m + 7470*m**2.
5*(m - 45)**2*(m + 3)**2
Suppose -2*l = -4*u - 22, 0*l - 22 = 3*u + 4*l. Let j = 8 + u. Solve 22*x**3 + x + 0*x + 8*x**4 - 2 + 2*x + 18*x**j - x = 0 for x.
-1, 1/4
Let z(l) = -l**3 + 7*l**2 - 5*l - 3. Let w be z(6). Let o(u) = -3*u + 12. Let r be o(w). Factor 2/3*y**4 + 0*y**r - 2*y**2 + 4/3*y + 0.
2*y*(y - 1)**2*(y + 2)/3
Let z = 35/12 - 8/3. Let b = -22 - -22. Suppose 1/2*d**2 - 1/2*d**4 + 1/4*d**5 + b*d**3 - z*d + 0 = 0. Calculate d.
-1, 0, 1
Factor 50*z - 2*z + 52*z**2 + 7*z**3 - 3*z**3.
4*z*(z + 1)*(z + 12)
Let t(k) = -k**3 + 6*k**2 + 7*k + 3. Let j = 139 + -132. Let m be t(j). Let 0 + 1/3*i**m + 4/3*i - 5/3*i**2 = 0. What is i?
0, 1, 4
Factor 5808/5*r + 0 - 792/5*r**2 + 27/5*r**3.
3*r*(3*r - 44)**2/5
Let x(y) = 2*y - 4. Let k be x(8). Suppose -k*b = -15*b + 6. Factor 0*f**b + 4/7*f**3 + 0*f + 0 - 2*f**4.
-2*f**3*(7*f - 2)/7
Let m be 0 - (-2 - 42/2). Suppose 25 + m = 4*h. Factor 28*x**4 - 5*x + x + 56*x**3 - 4 + 24*x**2 - 2*x**4 + h*x**5 + 18*x**4.
4*(x + 1)**4*(3*x -