
Let d(w) be the second derivative of 21*w**5/80 - 5*w**4/16 - w**3/4 - 4578*w. What is o in d(o) = 0?
-2/7, 0, 1
Suppose -5*u = -4*f + 30, -2*f - 5*u + 29 + 1 = 0. Find k such that 3*k + 2*k**3 - 5*k + 14*k**2 - 4*k - f*k = 0.
-8, 0, 1
Factor -41/9*n - 1/9*n**2 + 0.
-n*(n + 41)/9
Let m = 97 + -95. Let x be ((-30)/25 + m)/((-6)/(-135)). Factor -504*s**2 + 4 - 19 + 501*s**2 - x*s.
-3*(s + 1)*(s + 5)
Let f(k) be the second derivative of 5*k**4/12 + 3995*k**3/6 - 5*k + 201. Suppose f(z) = 0. Calculate z.
-799, 0
Suppose -448/11*d**2 - 6/11*d**5 - 702/11*d - 180/11 + 12*d**3 + 52/11*d**4 = 0. Calculate d.
-3, -1, -1/3, 3, 10
Let g(h) be the second derivative of -h**3 + 35*h**2 - 2*h - 4. Let w be g(11). Find y, given that 4/3*y**5 - 8/3*y**3 + 4/3*y - 8/3 - 8/3*y**w + 16/3*y**2 = 0.
-1, 1, 2
Let f = 14 - -8. Determine h so that 75 - 160*h + 40*h - 36*h**2 - 6*h**3 - f*h**2 + h**2 = 0.
-5, 1/2
Suppose 7*u - 259 = -0*u. Let g = u - 7. Factor -5*o**2 - g*o + 30*o + 5.
-5*(o - 1)*(o + 1)
Suppose -2*i + 48 = -6*i. Let o be (4/i)/(2/(-24)). Suppose 5*b**o + 735*b**3 - 20*b**2 - 735*b**3 = 0. What is b?
-2, 0, 2
Suppose -3*j + 5*m - 4*m = -82, 3*j + 4*m - 62 = 0. Let -90*c**3 - 16*c - 108*c**5 - 120*c**2 + 414*c**4 - 54*c**5 - j*c**3 = 0. What is c?
-2/9, 0, 1, 2
Let r(h) = h**2 + 4*h - 6*h**2 - 4*h**3 + 0*h**3 + 5. Let z(j) = j**2 - 1. Let g = 494 - 499. Let v(w) = g*z(w) - r(w). Factor v(o).
4*o*(o - 1)*(o + 1)
Let b(f) be the first derivative of -f**6/90 + f**5/60 + 5*f**4/36 + f**3/6 + 54*f - 32. Let v(z) be the first derivative of b(z). Factor v(g).
-g*(g - 3)*(g + 1)**2/3
Suppose -2*t + 24 - 16 = 2*b, 0 = -3*t + b + 12. Let r(c) be the second derivative of -1/12*c**4 - t*c**2 + 0 - 33*c + c**3. Determine m so that r(m) = 0.
2, 4
Factor -60*y**5 + 14*y**2 + 140*y**3 - 194*y**2 + 65*y**5 + 480*y**4 + 80*y - 525*y**4.
5*y*(y - 4)*(y - 2)**2*(y - 1)
Let z(t) be the first derivative of 116 + 0*t**2 + 0*t**3 - 1/45*t**6 + 0*t - 1/15*t**4 - 2/25*t**5. Factor z(k).
-2*k**3*(k + 1)*(k + 2)/15
Let t be (80/(-8) - (-9135)/910)*4. Find r, given that 4/13 - 2/13*r - t*r**2 = 0.
-2, 1
Let r = 28320/133 + -4005/19. Factor r*p**2 - 2/7*p + 0.
p*(15*p - 2)/7
Factor 118336/3*w + 1/3*w**3 + 688/3*w**2 + 0.
w*(w + 344)**2/3
Let n(v) be the third derivative of -5*v**2 + 1/60*v**5 + 1 + 31/6*v**3 + 0*v - 4/3*v**4. Factor n(r).
(r - 31)*(r - 1)
Let g(o) be the third derivative of 0 + 1/15*o**5 + 44/9*o**3 - 19*o - 35/18*o**4 - o**2. Solve g(v) = 0.
2/3, 11
Let o(v) = -v**3 - v**2 + 6*v + 4. Let h be o(-3). Factor 743 - 743 + h*f**3 + f**3 - 5*f**4.
-5*f**3*(f - 1)
Suppose 0 = -2*r + 2*p - 4, -2*p = -5*r + p - 2. Suppose 4*f - z + r*z - 15 = 0, -2*z = 4*f - 18. Factor -3*l**f - 17*l**3 + 25*l**2 - 5*l - l + l.
-5*l*(l - 1)*(4*l - 1)
Let m be 2665/82*28/140. Solve 3/4*i**5 + 3/4*i**2 - 2 + 5/4*i**4 + m*i - 29/4*i**3 = 0.
-4, -1, 1/3, 1, 2
Let o be (2/(-4))/(4/8). Let m be 45 + (0 + o - 2). What is t in m*t + 70 - 4*t**2 + 77 + 7*t**2 = 0?
-7
Let f(x) be the second derivative of -13*x**4/72 + 125*x**3/36 + 25*x**2/6 - 4711*x. Factor f(b).
-(b - 10)*(13*b + 5)/6
Let t(i) = i**2 + 2*i. Let a(l) = 352 - 29*l**2 - 23*l + 339 - 681. Let f(j) = -a(j) - 4*t(j). Let f(v) = 0. What is v?
-1, 2/5
Let -410*x**2 - 360*x - 107*x - 25*x - 5*x**5 - 65*x**4 + 475 + 6*x + 550*x**3 - 59*x = 0. Calculate x.
-19, -1, 1, 5
Let y(z) be the second derivative of 2/3*z**3 + 0 + 1/30*z**4 + 8/5*z**2 - 1/50*z**5 - 89*z. Let y(q) = 0. Calculate q.
-2, -1, 4
Let q be (-8)/(-16)*4/2. Let j be q + (3 - (3 - 2)) + -1. Factor -j*b**2 - 2*b - 393 + 393.
-2*b*(b + 1)
Let h(v) be the second derivative of -5*v**4/12 - 55*v**3/6 + 65*v**2 - 2*v - 1555. Find p, given that h(p) = 0.
-13, 2
Let d(s) be the first derivative of -s**5/15 + 9*s**4 + s**3/9 - 18*s**2 - 1976. Factor d(c).
-c*(c - 108)*(c - 1)*(c + 1)/3
Suppose -5*j = -46 - 129. Suppose 71*h - j = 66*h. Let -2*b**2 - h*b + 0*b**2 + b - 4 = 0. What is b?
-2, -1
Let v(c) be the third derivative of c**4/24 + 19*c**2. Let s(w) = w**2 - 58*w. Let l(f) = s(f) + 6*v(f). Determine d, given that l(d) = 0.
0, 52
Let z(x) be the third derivative of x**7/70 - 17*x**6/40 + 7*x**5/10 + 4*x**4 + 2*x**2 - 1497. Factor z(u).
3*u*(u - 16)*(u - 2)*(u + 1)
Let q = 24/35 - 2/105. Suppose 832*n = 830*n + 4. Let -a**4 + q*a**n + a + 1/3 - 2/3*a**3 - 1/3*a**5 = 0. What is a?
-1, 1
Suppose 2*k + 9 - 17 = 0. Suppose 5 = -c - b - b, -k*b - 20 = 0. Factor d**3 - c*d**4 - 7*d**5 + 2*d**5 + 4*d**3 + 5*d**3.
-5*d**3*(d - 1)*(d + 2)
Suppose -z + 4*i - 13 = 0, 23 = z + 4*z + 2*i. Factor 11*r - z*r - r**2 - 6724 - 172*r.
-(r + 82)**2
Let x(k) = -k**2 - 15*k + 32. Let j be x(-17). Let t be (j - -2) + 2/(-7)*-7. Factor 7*y**4 - 12*y**3 + 2*y**3 - 21*y**2 + 16*y**t + 8*y**4.
5*y**2*(y - 1)*(3*y + 1)
Suppose -598*j + 247*j - 12618 = -2454*j. Let -1/3*u**2 + 19/3 + j*u = 0. Calculate u.
-1, 19
Let u(v) be the first derivative of -35*v**6/6 - 27*v**5 - 95*v**4/2 - 110*v**3/3 - 15*v**2/2 + 5*v + 3162. Factor u(d).
-5*(d + 1)**4*(7*d - 1)
Suppose -5*w + c + 319 = 0, -62 = 4*w - 5*w + 2*c. Find b such that 40*b**4 + 72*b**3 - 429 - 6*b**5 + 429 - w*b**2 = 0.
-2, 0, 2/3, 8
Let f(w) = -6*w - 2631 + 2629 + w**2 + 0*w**2. Let g(p) = -2*p - 1. Let s(r) = 2*f(r) - 4*g(r). Find q, given that s(q) = 0.
0, 2
Let -13280/7*y - 100/7*y**2 - 440896/7 = 0. What is y?
-332/5
Let b(u) be the second derivative of -u**4/48 - 29*u**3/6 - 115*u**2/8 - 3*u - 45. Factor b(z).
-(z + 1)*(z + 115)/4
Suppose 125*i - 49*i**2 + 16*i**2 - 40 - 62*i**2 + 151*i + 114*i = 0. What is i?
2/19, 4
Let s = 2939 - 2937. Let l(t) be the first derivative of 1/2*t**4 + 2*t**s - 2*t**3 + 0*t - 3. Factor l(d).
2*d*(d - 2)*(d - 1)
Suppose -3*x - 12 = 8*r - 6*r, x + 3*r + 18 = 0. Suppose 4*f - 4 = 2*f. Let x - y - 1/4*y**f = 0. What is y?
-4, 0
Let i = -86 - -91. Suppose 0*t = -3*d - 3*t + 51, 1 = -2*d + i*t. Let 13*k**3 + 4*k**4 + d + 11*k**3 + 24*k + 44*k**2 - 12 = 0. Calculate k.
-3, -2, -1, 0
Let z(i) = -i - 9. Let x be z(-4). Let y = 10 - x. Factor -12*j**3 + 3*j - 16*j + y*j**2 + 10*j.
-3*j*(j - 1)*(4*j - 1)
Let b(n) be the first derivative of -n**5/40 - n**4/8 + 53*n**3/24 + 51*n**2/4 - 63*n/2 + 5332. Let b(i) = 0. What is i?
-6, 1, 7
Factor 5/6*o**2 - 340/3*o + 225/2.
5*(o - 135)*(o - 1)/6
Let s(x) be the third derivative of x**7/70 + 3*x**6/5 + 39*x**5/5 + 28*x**4 - 384*x**2 - x. Factor s(o).
3*o*(o + 2)*(o + 8)*(o + 14)
Let u(i) be the third derivative of -i**5/30 - 5*i**4/4 - 44*i**3/3 + 2225*i**2. Factor u(j).
-2*(j + 4)*(j + 11)
Let h(p) = 20*p**2 - 108*p - 116. Let c(s) = -s**2 + 8*s + 2. Let f(t) = 18*c(t) + h(t). Find w, given that f(w) = 0.
-20, 2
Let l(o) = -o**3 - 2. Let p(b) = 4*b**3 - 8*b**2 - 95*b - 144. Let w(f) = 12*l(f) + 4*p(f). Let w(d) = 0. What is d?
-5, -2, 15
Let q(m) = -m**2 + 7*m - 6. Let b = -368 + 364. Let r(i) = 3 - 3 + i. Let z(a) = b*r(a) + 2*q(a). Find s such that z(s) = 0.
2, 3
Suppose 7*i = -2*i + 36. Suppose -42 = -19*j - i. Find n such that 39/4*n**j - 9/4*n**3 - 39/4*n + 9/4 = 0.
1/3, 1, 3
Suppose -1/7*z**5 + 0 - 8*z**4 + 0*z - 106/7*z**2 - 23*z**3 = 0. What is z?
-53, -2, -1, 0
Let z(p) = -8*p**2 - p - 1. Let g(o) = -45*o**2 + 485*o - 65. Let i(y) = g(y) + 15*z(y). Solve i(f) = 0.
2/11, 8/3
Suppose 0 = -g + 71 - 66. Let q(v) = -1 + 0*v - 8 + 3*v**2 - v. Let n(a) = -2*a**2 + 5. Let w(z) = g*n(z) + 3*q(z). Let w(u) = 0. What is u?
-2, -1
Let t(d) be the first derivative of -10*d**3/3 + 141*d**2/2 - 14*d - 1172. Suppose t(h) = 0. Calculate h.
1/10, 14
Factor -107*h**3 + 41*h**4 - 10*h**3 - 89*h**4 - 77*h**4 - 336*h + h**5 + 563*h**2 + 14*h**4.
h*(h - 112)*(h - 1)**2*(h + 3)
Let j(o) be the third derivative of -o**8/1680 - o**7/75 + 4*o**6/75 - o**5/150 - 31*o**4/120 + 8*o**3/15 - 1370*o**2. Determine b, given that j(b) = 0.
-16, -1, 1
Let o(h) be the first derivative of -h**6/120 + 23*h**5/40 - h**3/3 + 8*h - 42. Let u(d) be the third derivative of o(d). Factor u(r).
-3*r*(r - 23)
Let d be 4/(8/(-6))*38/(-57). Let o(q) be the first derivative of 1/6*q**3 + 4*q**d + 32*q + 11. Find s such that o(s) = 0.
-8
Suppose -4*u + 30 = 2*u. Let r(j) = -3*j**2 + 62*j + 16. Let f(h) = h**2. Let t(l) = u*f(l) - r(l). Suppose t(w) = 0. Calculate w.
-1/4, 8
Let s be (-4688)/(-879) + (76/(-66) - ((-40)/22)/(-10