 derivative of -y**5/12 + 115*y**4/6 - 5290*y**3/3 + 33*y**2 + 11. Find f such that s(f) = 0.
46
Let o(j) be the second derivative of -j**4/36 - 239*j**3/9 - 57121*j**2/6 + 3802*j. Factor o(b).
-(b + 239)**2/3
Let i(q) be the third derivative of 0 + 26*q**2 - q - 13/24*q**4 + 1/60*q**5 + 11/3*q**3. Factor i(z).
(z - 11)*(z - 2)
Let y(m) be the third derivative of m**8/2856 + 2*m**7/595 + m**6/102 - 11*m**4/204 - 2*m**3/17 - 43*m**2. Solve y(h) = 0 for h.
-3, -2, -1, 1
Let k(s) be the first derivative of 2*s**3/21 + 20*s**2/7 - 858*s/7 + 4459. Factor k(n).
2*(n - 13)*(n + 33)/7
Let r(p) be the second derivative of -p**5/90 + 2875*p**4/18 - 8265625*p**3/9 + 23763671875*p**2/9 + 2*p + 613. Factor r(j).
-2*(j - 2875)**3/9
Let k(b) be the second derivative of 1/4*b**5 + 60*b**2 + 70/3*b**3 + 0 + 293*b + 25/6*b**4. Suppose k(v) = 0. Calculate v.
-6, -2
Let g(p) = -12*p**2 + 1323*p + 216475. Let s(m) = 10*m**2 - 1322*m - 216476. Let y(a) = -6*g(a) - 7*s(a). Factor y(r).
2*(r + 329)**2
Suppose x + 78 = 3*d, -104 = -4*d - 11*x + 7*x. Suppose -c = -l + 14, -6 + d = -5*c. Let -5/3*j**3 + 5*j**2 + l*j - 40/3 = 0. Calculate j.
-2, 1, 4
Let g be 24/(-80) + 44/40. Let f(h) be the first derivative of 0*h - 1/2*h**2 - 4/3*h**3 - 3/4*h**4 + g*h**5 + 2/3*h**6 - 35. Find z such that f(z) = 0.
-1, -1/2, 0, 1
Let s = -32107 - -32107. Let i(v) be the third derivative of -1/12*v**5 + s + 24*v**2 - 5*v**3 + 0*v - 25/24*v**4. What is y in i(y) = 0?
-3, -2
Let v(s) be the second derivative of s**7/2520 + s**6/540 + 37*s**3/3 + 24*s. Let l(w) be the second derivative of v(w). Suppose l(h) = 0. Calculate h.
-2, 0
Let o = 4093706/5 + -818740. Suppose -o*a - 9/5*a**2 + 3/5 = 0. Calculate a.
-1, 1/3
Let q(t) = 14*t**3 - 195*t**2 + 367*t. Let f(y) = -8*y**3 + 98*y**2 - 182*y. Let z(v) = 11*f(v) + 6*q(v). Let z(s) = 0. What is s?
-25, 0, 2
Let p(z) = 26*z**2 - 260*z + 816. Let d(t) = -2*t**2 + 3*t + 4. Let w(x) = 12*d(x) + p(x). Factor w(q).
2*(q - 108)*(q - 4)
Let q(j) be the first derivative of -5*j**6/2 - 58*j**5 + 505*j**4 - 870*j**3 + 395*j**2/2 + 500*j + 400. Solve q(b) = 0 for b.
-25, -1/3, 1, 4
Suppose 11 = c, -528*h - 30 = -521*h - 4*c. Find l, given that 2 + 12/7*l - 2/7*l**h = 0.
-1, 7
Let i(y) = -y**3 + 14*y**2 - 102*y + 373. Let u be i(7). Factor 0*d + 1/7*d**u - 4/7.
(d - 2)*(d + 2)/7
Let q(l) be the third derivative of l**6/24 - l**5/60 + l**3/3 + 140*l**2. Let u(n) = -11*n**3 + 3*n**2 - 5. Let g(t) = -15*q(t) - 6*u(t). Solve g(i) = 0 for i.
-1/3, 0
Let t = -986 + 336. Let z = 653 + t. Factor -4/3*s**2 + 4/9*s**z + 8/9*s + 0.
4*s*(s - 2)*(s - 1)/9
Let u(w) = -w**2 - 23*w + 33. Suppose 6 + 12 = 2*m. Let g = -63 - -61. Let k(x) = -6*x + 8. Let p(y) = g*u(y) + m*k(y). Factor p(b).
2*(b - 3)*(b - 1)
Let g(c) be the first derivative of -c**2 + 8/15*c**3 - 65 - 12/5*c. Factor g(m).
2*(m - 2)*(4*m + 3)/5
Suppose -5 = 17*t - 39. Determine s so that -8*s**2 + 12*s**2 - s**2 - s**2 - 3*s**2 - t*s + 3 = 0.
-3, 1
Suppose 7533 = 2864*v + 1805. Factor 8/3*x + 2/3*x**5 + 0 - v*x**3 + 8/3*x**2 - 4/3*x**4.
2*x*(x - 2)**2*(x + 1)**2/3
Suppose 2*y + q = 0, 2*y + 0*y + 3*q = -8. What is f in 4*f**5 - 7386*f**4 + 82*f + 7354*f**4 + 30*f - 152*f**y + 100*f**3 - 32 = 0?
1, 2
Suppose 28*d + 72 = 77*d + 34 - 60. Suppose 2/13*l**4 + 0 + 10/13*l**d + 8/13*l**3 + 4/13*l = 0. What is l?
-2, -1, 0
Let b = 259 + -270. Let u be (-9 - b) + -9 - -10. Suppose -3/4*g**4 + 3/4*g**u + 3 + 27/4*g**2 + 33/4*g = 0. What is g?
-1, 4
Let h = 13658/41001 + 3/13667. Factor h + 1/9*f**2 - 4/9*f.
(f - 3)*(f - 1)/9
Let q = -1119/35 + 228/7. Let l(a) be the second derivative of -27/10*a**2 + 0 + 14*a - 1/20*a**4 - q*a**3. Determine r, given that l(r) = 0.
-3
Suppose 4*z - 137 = 2*g - 51, -71 = -4*z - 3*g. Let -50*x**3 + 18*x**3 + 80*x + z*x**3 + 32*x**2 + 64 + 16*x**3 = 0. What is x?
-4, -2
Let u(x) be the second derivative of -1/21*x**4 - 3/7*x**2 - 1/3*x**3 - 2*x + 1 + 3/35*x**5 + 1/21*x**6 + 1/147*x**7. Factor u(z).
2*(z - 1)*(z + 1)**3*(z + 3)/7
Let f be (-15)/(-1) - ((-96152)/(-196))/34. Factor 20/7*u + 16/7 + f*u**2.
4*(u + 1)*(u + 4)/7
Let q(s) be the third derivative of s**7/105 - s**6/15 - 91*s**5/30 + 227*s**4/6 - 120*s**3 - 28*s**2 - 4. Determine i so that q(i) = 0.
-10, 1, 4, 9
Let r(s) be the first derivative of -s**4/8 + s**3/2 + s**2 - 6*s + 1060. Factor r(z).
-(z - 3)*(z - 2)*(z + 2)/2
Let d = -2/15 + -19/15. Let v = 43/20 + d. Let -3/4 - 27/8*w**3 - 21/4*w**2 - v*w**4 - 27/8*w = 0. Calculate w.
-2, -1, -1/2
Solve -135*i - 18225/2 - 1/2*i**2 = 0.
-135
Let k(w) be the first derivative of w**5/5 - w**3 - w**2 - 623. Factor k(a).
a*(a - 2)*(a + 1)**2
Suppose 133*t + 446*t - 1598 = 139. Suppose 6/7*n + 0 + 0*n**2 - 6/7*n**t = 0. Calculate n.
-1, 0, 1
Let l(h) be the third derivative of 0*h**3 + 0 + 1/30*h**5 - 13/12*h**4 + 72*h**2 + 2*h. Factor l(f).
2*f*(f - 13)
Let h(l) = l + 50. Let b(o) = -2*o + 48. Let v(f) = -2*b(f) + 3*h(f). Let c be v(-7). Factor 5/4*g**2 + 15/4 + c*g.
5*(g + 1)*(g + 3)/4
Let m be ((-13184)/(-26780))/((-32)/(-20)). Find d such that 10/13*d**3 + m*d - 14/13*d**2 + 0 = 0.
0, 2/5, 1
Let w = -1394/39 + 113041/3120. Let u(p) be the second derivative of 7/24*p**6 + 0*p**2 + 17/48*p**4 - 26*p - 1/12*p**3 + 0 - w*p**5 - 11/168*p**7. Factor u(s).
-s*(s - 1)**3*(11*s - 2)/4
Let t(d) = 7*d**4 + 2*d**3 + 33*d. Let x(n) = 5*n**4 + n**3 + 22*n. Let a(k) = 10*t(k) - 15*x(k). Factor a(v).
-5*v**3*(v - 1)
Suppose -508/3*a**2 + 1166*a - 2/9*a**5 - 134/9*a**4 - 2300/9*a**3 - 726 = 0. Calculate a.
-33, -3, 1
Let m = 4496271/17 - 264477. Factor 6/17*x**2 - 90/17*x + m + 2/17*x**3.
2*(x - 3)**2*(x + 9)/17
Suppose 133*k = 139*k. Let f be (k + (7 - 1))*(-2)/(-4). Factor -3/2*v + 1 + 0*v**2 + 1/2*v**f.
(v - 1)**2*(v + 2)/2
Let a(b) = 14*b - 259. Let t be a(-26). Let k = t + 2493/4. Determine h, given that -k*h**4 - 1/2*h**3 + 1/2*h + 0 + 1/4*h**2 = 0.
-2, -1, 0, 1
Let k be ((-10)/21)/5 + (-11505)/(-3717). Let d(h) be the first derivative of 65/4*h**4 + 5/2*h**5 + 35 - 39*h**2 + 109/6*h**k + 18*h. Factor d(z).
(z + 3)**2*(5*z - 2)**2/2
Let k(p) be the first derivative of -32/5*p**5 - 2/3*p**6 + 0*p - 8*p**3 - 58 - 13*p**4 + 0*p**2. Solve k(x) = 0 for x.
-6, -1, 0
Let y be 0 - 24/6 - 1*(7 - 11). Let k(d) be the third derivative of 1/80*d**6 + 15*d**2 + 0*d + 3/16*d**4 + y*d**3 + 1/10*d**5 + 0. Let k(r) = 0. Calculate r.
-3, -1, 0
Let f = 931 - 988. Let i be (f/(-7) - -1) + -6 - 3. Factor -2/7 + i*y + 1/7*y**2.
(y - 1)*(y + 2)/7
Suppose -5*t + 3 + 4 = -4*d, -4*t + 2*d = -8. Let x be (-2)/t*(14 + 1331/(-88)). Suppose 15/4 + 9/2*s + x*s**2 = 0. What is s?
-5, -1
Let i(g) = g**4 + g**2 - 2*g + 1. Let b(w) = 7*w**4 - 50*w**3 - 102*w**2 + 188*w + 422. Let o(f) = -b(f) + 6*i(f). Factor o(u).
-(u - 52)*(u - 2)*(u + 2)**2
Let k(a) be the first derivative of -1/2*a**3 - 3/4*a**2 - 83 + 3*a. Suppose k(x) = 0. What is x?
-2, 1
Let c(p) be the third derivative of -25*p**6/24 - 245*p**5/4 - 1045*p**4 + 14440*p**3/3 + 2*p**2 + 184. Let c(r) = 0. What is r?
-76/5, 1
Let n(y) be the second derivative of 5/36*y**4 + 1/9*y**3 + 8*y + 1/90*y**6 + 2 + 1/15*y**5 + 0*y**2. Factor n(s).
s*(s + 1)**2*(s + 2)/3
Suppose 0 = -45*j + 4*j + 2*j + 117. Let v(l) be the first derivative of -12/5*l - 1/5*l**4 - 14/5*l**2 - 4/3*l**j - 45. Factor v(p).
-4*(p + 1)**2*(p + 3)/5
Let m(u) be the first derivative of -u**4/4 + 2*u**3 - 4*u**2 - 60. Let o be m(3). Suppose 6/7*h**2 + 0 + 2/7*h**o + 4/7*h = 0. Calculate h.
-2, -1, 0
Let s(r) be the second derivative of -3*r**7/70 + 379*r**6/50 - 729*r**5/50 - 873*r**4/10 - 503*r**3/10 + 225*r**2/2 - 1836*r + 1. Let s(k) = 0. What is k?
-1, 1/3, 3, 125
Let g(b) be the second derivative of -b**4/108 - 23*b**3/27 - 1670*b. Factor g(z).
-z*(z + 46)/9
Suppose -2*j = 3*j + 25, 5*m - 25 = j. Suppose -m*p = 3*t - 14, -t = -2*p - 2 + 4. Suppose -5*b**2 - b + t*b**4 - 20*b**3 + 23*b**3 + 5*b**2 = 0. What is b?
-1, 0, 1/2
Let f(d) = -10*d**2 + 19*d - 19. Let l = 296 + -310. Let a(u) = -3*u**2 + 6*u - 6. Let b(p) = l*a(p) + 4*f(p). Factor b(w).
2*(w - 2)**2
Let o = 773 - 766. Suppose -9*u = -o*u - 8. Factor 1/10*q**5 + 0 + 0*q - 3/10*q**3 + 0*q**u - 1/5*q**2.
q**2*(q - 2)*(q + 1)**2/10
Factor -53*w**4 - 52*w**2 + 21*w**4 - 108*w**3 - 19*w**4 - 4*w**5 - 9*w**4.
-4*w**2*(w + 1)**2*(w + 13)
Let y(o) = -o