et j(w) = -8*w**3 - 10*w**2 - 8*w. Let t(m) be the second derivative of 3*m**5/4 + 5*m**4/3 + 8*m**3/3 + 54*m. Let x(d) = 11*j(d) + 6*t(d). Solve x(v) = 0.
-4, -1, 0
Determine z, given that 5936*z + 4*z**4 + 407346*z**2 + 208*z**3 - 410634*z**2 - 227 - 2633 = 0.
-65, 1, 11
Let c(a) be the first derivative of 2*a**3/21 - 255*a**2/7 + 1012*a/7 + 911. Factor c(z).
2*(z - 253)*(z - 2)/7
Let a(p) = 157*p - 59. Let b be a(-5). Let k = -2530/3 - b. Factor -4/3 + 2*w - k*w**2.
-2*(w - 2)*(w - 1)/3
Let n(r) = -r**2 + 2*r + 28. Let t be n(-4). Factor -t*a**2 + 8*a**3 + 32 - 12 - 20.
4*a**2*(2*a - 1)
Let f be ((-737)/(-51) - 14) + 1/(-3). Let r(h) be the first derivative of -f*h**2 + 0*h + 2/85*h**5 - 2/17*h**3 + 0*h**4 - 33. Factor r(i).
2*i*(i - 2)*(i + 1)**2/17
Let y(d) = -37*d**3 + 220*d**2 + 431*d - 149. Let o(v) = -72*v**3 + 441*v**2 + 861*v - 303. Let r(s) = 11*o(s) - 21*y(s). Let r(q) = 0. Calculate q.
-2, 2/5, 17
Let -48/5*s**3 - 68/5*s**2 - 4/5*s**4 + 0 + 24*s = 0. What is s?
-10, -3, 0, 1
Factor 373*d - 267 - 264*d**2 - 229 + 268*d**2 + 119*d.
4*(d - 1)*(d + 124)
Let y(o) be the third derivative of -o**7/105 - 21*o**6/200 - o**5/25 + 7*o**4/24 - o**3/5 + 1912*o**2. What is w in y(w) = 0?
-6, -1, 1/5, 1/2
Let j(s) be the third derivative of 0*s**4 + 0 + 0*s - 8/105*s**7 - 24*s**2 + 0*s**3 + 0*s**5 + 1/30*s**6. Find q such that j(q) = 0.
0, 1/4
Let g = -1813 + 2008. Let q be 5/(30/(-27))*(-130)/g. Factor -18/5*a**q + 208/5*a + 72/5 + 138/5*a**2.
-2*(a - 9)*(3*a + 2)**2/5
Suppose 9/5*h - 19/10*h**4 - 17/10*h**3 - 1/10*h**5 + 19/10*h**2 + 0 = 0. Calculate h.
-18, -1, 0, 1
Suppose 2*x + 2*x - 4*c - 192 = 0, 0 = x + 2*c - 57. Let p = x - 48. Find r such that 223*r + 14*r**2 - 40 - 163*r - 5*r**5 + 30*r**4 - 55*r**p - 4*r**2 = 0.
-1, 1, 2
Let d be ((-144)/(-86))/(-36) + 264/129. Let g**d - 1/2 + 31/8*g = 0. Calculate g.
-4, 1/8
Let d(j) be the second derivative of -j**4 - 5*j - 2 - 34/3*j**3 - 20*j**2. Find x, given that d(x) = 0.
-5, -2/3
Let c(p) = 9*p**2 + 3*p. Let s(l) = 4*l**3 + 3*l**2 - 1. Let u be s(2). Let o = u - 40. Let h(w) = 18*w**2 + 6*w. Let v(n) = o*h(n) - 7*c(n). Factor v(q).
-3*q*(3*q + 1)
Factor -1/3*r**3 - 105*r**2 - 385875 - 11025*r.
-(r + 105)**3/3
Let w(o) be the first derivative of o**4/4 + 2*o**3/3 - 11*o**2/2 + 8*o + 573. Let y be w(2). Suppose 15*c**y + 5/3 + 10*c + 20/3*c**3 = 0. What is c?
-1, -1/4
Let f(b) be the first derivative of -4/3*b**3 + 60*b**2 + 233 + 124*b. Factor f(z).
-4*(z - 31)*(z + 1)
Determine y, given that -208/9*y - 2/9*y**3 - 32 + 26/3*y**2 = 0.
-1, 4, 36
Let w(i) be the second derivative of -i**7/273 + 2*i**6/195 + 11*i**5/130 - 20*i**4/39 + 44*i**3/39 - 16*i**2/13 + 80*i + 4. Let w(j) = 0. What is j?
-4, 1, 2
Let -80*w**2 + 75*w + 80*w**4 + 8440*w**3 + 15*w**5 - 8510*w**3 - 20*w**5 = 0. Calculate w.
-1, 0, 1, 15
Let g(k) be the first derivative of -k**5/10 + 2*k**4 - 47*k**3/6 - 4*k**2 + 24*k + 3024. Solve g(r) = 0 for r.
-1, 1, 4, 12
Let q(g) be the first derivative of -g**3/36 - 551*g**2/12 - 303601*g/12 - 988. Factor q(j).
-(j + 551)**2/12
Let k(z) be the third derivative of -11*z**7/2520 - z**6/45 - z**5/90 - 29*z**3/6 - 58*z**2. Let g(x) be the first derivative of k(x). What is y in g(y) = 0?
-2, -2/11, 0
Let z be -2*(6 - 4) + 8/2. Let f(b) be the third derivative of 0*b**3 - 1/150*b**5 + 25*b**2 + z - 1/15*b**4 + 0*b. Factor f(r).
-2*r*(r + 4)/5
Factor 0 + 380/7*a**2 - 2/7*a**3 - 54*a.
-2*a*(a - 189)*(a - 1)/7
Let g(h) be the first derivative of 7*h**6/6 - 8*h**5 - 5*h**4/4 + 170*h**3/3 - 46*h**2 - 40*h - 80. Suppose g(x) = 0. What is x?
-2, -2/7, 1, 2, 5
Let g(t) be the first derivative of 2*t**5/65 - 9*t**4/13 + 80*t**3/13 - 352*t**2/13 + 768*t/13 - 10545. Find y such that g(y) = 0.
4, 6
Suppose -3*g + 111 = -888*i + 893*i, 0 = -4*g + 5*i + 113. Factor -24/5*d**3 - 20*d - 4/5*d**5 + 0 - g*d**2 + 32/5*d**4.
-4*d*(d - 5)**2*(d + 1)**2/5
Let j(z) = z**2 - z - 161 + 161. Let x(y) = y**4 + 4*y**3 + 8*y**2 - 9*y - 4. Let f(k) = -5*j(k) + x(k). Suppose f(o) = 0. Calculate o.
-2, -1, 1
Factor 2/3*c**4 + 16*c - 2/3*c**3 - 28/3*c**2 + 0.
2*c*(c - 3)*(c - 2)*(c + 4)/3
Let a(y) be the third derivative of y**5/45 + 379*y**4/72 - 95*y**3/18 - 736*y**2. Suppose a(d) = 0. Calculate d.
-95, 1/4
Let u = -5409 - -5413. Let y(g) be the second derivative of 2/3*g**3 + 2*g**4 - 19*g - u*g**2 - 8/15*g**6 - 4/5*g**5 + 0 + 2/7*g**7. Solve y(h) = 0.
-1, -2/3, 1
Let w(o) be the second derivative of o**6/30 + 13*o**5/4 + 339*o**4/4 - 495*o**3/2 - 3267*o**2 + 18*o + 34. Factor w(u).
(u - 3)*(u + 2)*(u + 33)**2
Let j = 104 + -105. Let f(h) = -3*h**3 + 25*h**2 - 14*h - 149. Let p(o) = o**2 + o + 1. Let a(t) = j*p(t) + f(t). Factor a(s).
-3*(s - 5)**2*(s + 2)
Let n(l) be the third derivative of -1/3*l**3 + 10*l**2 + 1/180*l**5 + 0*l + 1/72*l**4 - 6. Solve n(v) = 0.
-3, 2
Suppose 3*m + 835 = q + 6*m, 4*q + 3*m - 3304 = 0. Find o, given that -12*o**3 + q*o**5 + 823*o**5 - 6*o**2 + 6*o**4 - 1643*o**5 + 9*o = 0.
-3, -1, 0, 1
Let w = -77 + 77. Determine d, given that w*d**3 - 122*d - 4*d**2 + 2*d**3 + 116*d = 0.
-1, 0, 3
Suppose -9 = -11*s + 13. Factor -144*d**s - 8*d**3 + 3*d**3 - 75 - 155*d + 59*d**2.
-5*(d + 1)**2*(d + 15)
Factor -n**3 + 6201728*n + 2*n**3 - 1049*n**2 - 6201728*n.
n**2*(n - 1049)
Let j(u) be the second derivative of -3*u**5/20 + 6*u**4 - 45*u**3/2 + 33*u**2 - 1433*u. Find h such that j(h) = 0.
1, 22
Let l(s) be the second derivative of 11/3*s**4 + 49 + 1/2*s**5 + 2*s + 16/3*s**3 - 1/15*s**6 + 0*s**2. What is f in l(f) = 0?
-2, -1, 0, 8
Let q(b) be the first derivative of -6*b**5/25 - 37*b**4/10 - 6*b**3 - 11*b**2/5 - 4044. Solve q(n) = 0.
-11, -1, -1/3, 0
Factor 108*n**2 - 218*n**3 + 108*n**3 + 112*n**3 - 46 + 46.
2*n**2*(n + 54)
Let z(o) be the first derivative of 3*o**4/7 - 214*o**3/21 + 174*o**2/7 + 64*o/7 + 1918. Factor z(f).
2*(f - 16)*(f - 2)*(6*f + 1)/7
Solve 27*b**2 - 47 - 20 - 12 + 36*b + 19 - 3*b**3 = 0.
-2, 1, 10
Solve -60/13 + 2/13*r**3 + 32/13*r**2 + 2*r = 0 for r.
-15, -2, 1
Let g(t) be the second derivative of -1/78*t**4 - 4/39*t**3 + 3 + 0*t**2 - 24*t. Suppose g(k) = 0. What is k?
-4, 0
Let w(f) be the second derivative of f**5/70 + 39*f**4/14 - 34*f**3/3 - 222*f - 12. Find a, given that w(a) = 0.
-119, 0, 2
Let t(i) = 59*i**2 + 3*i - 1. Let p be t(1). Let a = 65 - p. Find c, given that 6*c**4 + 6*c**4 + 0*c**a - 9*c**4 + c**5 = 0.
-3, 0
Suppose 2*p - 6 = n, 3*n = 5*n - 3*p + 8. Determine i so that -43*i - 17*i - 55 + 0*i - 5*i**n = 0.
-11, -1
Let x be 19 + 6678/700*-2 - (2848/(-150))/4. Let b(y) = -y. Let c be b(-6). Factor c*q**3 + 4/3*q + x*q**2 + 10/3*q**4 + 0 + 2/3*q**5.
2*q*(q + 1)**3*(q + 2)/3
Let p(z) = z**3 - 13*z**2 + 24*z - 2. Let f be p(11). Let r be f/5 - (3 - 1). Solve 33 - 8*w - 33 - 9*w**3 + 34*w**r + w**3 = 0 for w.
0, 1/4, 4
Let g be (3 - (-344)/(-120)) + (-1064)/(-570). Factor -8/9*q**g + 0*q + 0 - 4/3*q**4 + 2*q**3 + 2/9*q**5.
2*q**2*(q - 4)*(q - 1)**2/9
Let 35*n + 24*n**2 + 46/3 + 13/3*n**3 = 0. Calculate n.
-46/13, -1
Let z(w) be the third derivative of -w**6/540 - 7*w**5/54 - 11*w**4/18 + w**2 + 555*w. Factor z(s).
-2*s*(s + 2)*(s + 33)/9
Let b(q) be the third derivative of q**5/240 - 3*q**4/32 - 11*q**3/12 + 2179*q**2. Determine m, given that b(m) = 0.
-2, 11
Suppose -75 = -40*c + 107*c - 209. Let n(v) be the third derivative of 0 + 0*v + 10*v**c - 1/9*v**4 - 1/90*v**5 - 1/3*v**3. Factor n(k).
-2*(k + 1)*(k + 3)/3
Suppose 2*h = v - 15 + 45, -v = -h + 11. Let z(o) be the second derivative of -1/6*o**4 - h*o + 2/3*o**3 + 3*o**2 + 0. Suppose z(x) = 0. What is x?
-1, 3
Determine b so that 112/9*b - 5/9*b**2 + 13 = 0.
-1, 117/5
Suppose -m + 12 = a - 0*m, -4*m = 3*a - 32. Let b = 259 + -232. Let a*s**2 - 11*s - b*s + 2*s + 8 = 0. What is s?
1/4, 2
Suppose -t - 3*c - 8 - 2 = 0, -c = 4. Factor -d**3 + d + t*d**3 - 2*d**3.
-d*(d - 1)*(d + 1)
Let x(a) = a**4 - a**3 - a**2. Let t(q) = -6*q**4 + 10*q**3 - 2*q**2 + 2*q. Let c = -580 + 581. Let g(s) = c*t(s) + 4*x(s). What is o in g(o) = 0?
0, 1
Let t be (-74)/(-6)*(4 + -2)*-3. Let u = 76 + t. Find i, given that -15*i**u - 5*i - 58*i**4 - 12*i**3 - 3*i**3 + 53*i**4 = 0.
-1, 0
Determine i, given that 34*i**3 + 110*i**2 - 40*i**3 - 40*i**4 - 6*i**5 + 8*i**3 + 134*i**2 - 80*i = 0.
-5, -4, 0, 1/3, 2
Let n = 16106 - 16099. Let j(l) be