258/7*y**3 - 211*y + 108/35*y**6 - 2547/140*y**5 + 49/2*y**4. Find c such that x(c) = 0.
-1/4, 2, 6
Let m(y) = 2*y - 4. Let g(k) = -2*k - 342. Let f(s) = -g(s) - 5*m(s). Let h be f(45). Find r such that -2/11*r - 6/11*r**h + 2/11*r**3 + 6/11 = 0.
-1, 1, 3
Let j(o) be the first derivative of o**4 - 96*o**3 + 2280*o**2 - 20800*o - 696. Factor j(b).
4*(b - 52)*(b - 10)**2
Let c(x) be the first derivative of -x**5/4 + 35*x**3/6 - 15*x**2 + 23*x - 118. Let k(p) be the first derivative of c(p). Factor k(n).
-5*(n - 2)*(n - 1)*(n + 3)
Let k(s) = 8*s**3 + 290*s**2 + 63*s - 321. Let m be k(-36). Factor 36/7*h**2 + 24/7*h**m + 0*h + 3/7*h**4 + 0.
3*h**2*(h + 2)*(h + 6)/7
Let r(g) be the first derivative of -g**4/12 + 7*g**3/3 - 49*g**2/2 - 50*g + 37. Let o(k) be the first derivative of r(k). Factor o(w).
-(w - 7)**2
Let n(o) be the third derivative of 0*o + 0*o**3 - 1/3*o**6 + 3/2*o**4 + 1/84*o**8 + 0*o**7 + 0 + 0*o**5 - 107*o**2. Let n(t) = 0. Calculate t.
-3, -1, 0, 1, 3
Let k be 8/18 + -24 + (-22638)/(-945). Factor -1/5*i**3 + 2/5 + 1/5*i - k*i**2.
-(i - 1)*(i + 1)*(i + 2)/5
Let g(q) be the first derivative of 4*q**5/5 + 46*q**4 - 196*q**3 - 3400. Let g(d) = 0. Calculate d.
-49, 0, 3
Let g(f) be the first derivative of f**5/5 + 55*f**4/4 + 259*f**3 + 405*f**2/2 - 4374*f - 1056. Suppose g(z) = 0. Calculate z.
-27, -3, 2
Suppose 695*n - 698*n = -6. Let n*c**3 + 0 + 10/7*c**4 + 4/7*c**2 + 0*c = 0. What is c?
-1, -2/5, 0
Suppose 3*x + 5*k = 10 + 20, 4*k = 3*x - 57. Suppose -39*p + 44*p = x. Find u, given that -152*u**p - 152*u**3 + 13*u**2 + 2*u + 312*u**3 - 3 = 0.
-1, 3/8
Let s(j) be the first derivative of j**3/3 - 23*j**2 - 28*j + 84. Let v(i) = 3*i**2 - 94*i - 57. Let f(a) = 9*s(a) - 4*v(a). Factor f(k).
-(k + 12)*(3*k + 2)
Let b(j) = j**3 + j. Let w = -24 + 25. Suppose 2*u = u - w. Let k(n) = -6*n**3 - 6*n**2 + 6. Let l(a) = u*k(a) - 3*b(a). Determine r, given that l(r) = 0.
-2, -1, 1
Let g(s) be the second derivative of s**7/56 - 47*s**6/80 + 153*s**5/32 - 97*s**4/8 - 41*s**3/4 + 99*s**2 + 2122*s. Solve g(b) = 0.
-1, 2, 4, 33/2
Let c(m) be the first derivative of m**6/36 - 7*m**5/2 + 133*m**4 - 11528*m**3/9 + 4736*m**2 - 6144*m - 3862. Suppose c(f) = 0. What is f?
1, 4, 48
Let k(o) = 27*o**3 - 10128*o**2 - 48*o. Let v(g) = -11*g**3 + 4051*g**2 + 20*g. Let y(x) = -5*k(x) - 12*v(x). Factor y(u).
-3*u**2*(u - 676)
Suppose -424 = -7149*x + 7021*x + 88. What is a in 56/23*a**x + 0*a**2 + 0 - 2/23*a**5 + 0*a - 392/23*a**3 = 0?
0, 14
Let j(z) be the second derivative of -4/3*z**6 + 23 + 32/3*z**4 - 190/3*z**3 + 22/5*z**5 + 3*z + 100*z**2 + 2/21*z**7. Suppose j(a) = 0. What is a?
-2, 1, 5
Suppose -23*b + 11*b = -10*b. Let n = -477 - -479. Factor b + 0*c**n - 1/4*c**3 + c.
-c*(c - 2)*(c + 2)/4
Let q(o) be the second derivative of -o**5/105 + o**4/6 - 4*o**3/7 + 47*o**2/2 - 42*o. Let a(d) be the first derivative of q(d). Find z such that a(z) = 0.
1, 6
Let w be (209/44 + -7)*(-5)/((-225)/(-48)). Solve -9/5*r**3 + w*r**4 - 3/5*r**5 + 12/5*r + 0 - 12/5*r**2 = 0.
-1, 0, 1, 2
Suppose 2*u + 4542 = 8*u. Let a = u - 3783/5. Determine n so that 4/5*n**3 + a*n**2 - 2/5*n + 0 = 0.
-1, 0, 1/2
Find p, given that 2/9*p + 2/9*p**2 + 0 = 0.
-1, 0
Let u(k) be the second derivative of 5/6*k**3 - 1/4*k**5 + 155/12*k**4 + 113*k + 0 - 155/2*k**2. Factor u(v).
-5*(v - 31)*(v - 1)*(v + 1)
Let l(y) = y + 19. Let j(r) = r**2 - 304*r - 287. Let c(f) = -j(f) + l(f). Factor c(o).
-(o - 306)*(o + 1)
Let i(x) be the first derivative of -65*x**4/4 - 127*x**3/6 + 263*x**2/4 - 3*x - 2067. Find u such that i(u) = 0.
-2, 3/130, 1
Let p(z) = 47*z - 402 - 117 + 22*z - 4*z**2 - 381. Let w(k) = -9*k**2 + 141*k - 1800. Let t(g) = 7*p(g) - 3*w(g). Factor t(v).
-(v - 30)**2
Let h(o) = o**2 - 4. Let c = 20 - 16. Let q be h(c). Factor 6 + 5*j**3 - 12*j - 3*j - 3*j**2 - 33*j**2 - 8*j**3 + q*j**4.
3*(j - 2)*(j + 1)**2*(4*j - 1)
Suppose 0*l + 3*c + 692 = 5*l, 2*l = -5*c + 252. Suppose l - 164 = -r. Find j such that -17*j**2 - r*j + 0*j**2 + 25 + 2*j**2 - 42*j = 0.
-5, 1/3
Let g(z) = z + 53. Let l be g(6). Let i = -26 + l. Suppose 8*p**2 - 12*p**5 + 4*p - 17*p**5 - 4*p**4 + i*p**5 - 4 - 8*p**3 = 0. Calculate p.
-1, 1
Let v(n) be the second derivative of n**4/3 - 526*n**3 - 1580*n**2 - 3713*n. Factor v(z).
4*(z - 790)*(z + 1)
Factor -2/9*o**2 + 12*o - 400/9.
-2*(o - 50)*(o - 4)/9
Let g(d) be the first derivative of -103 + 150*d + 3/10*d**5 - 33/4*d**4 + 141/2*d**3 - 165*d**2. Factor g(m).
3*(m - 10)**2*(m - 1)**2/2
Suppose -2*m = -4*o + 100, -22 = 4*m + 18. Find i such that -o*i**2 - 1/2*i**3 + 0 + 0*i = 0.
-40, 0
Let n(g) = -g**2 - 7*g + 30. Let f be n(-10). Let a be -3 - (-5 + f + 0). Solve 0*r**2 - 2*r**5 + 5*r**2 - 6*r**a + r + r**3 - 3*r**4 + 4*r**2 = 0.
-1, -1/2, 0, 1
Factor -5 - 1/5*w**2 + 26/5*w.
-(w - 25)*(w - 1)/5
Let o(w) be the third derivative of 2*w**2 + 0*w**5 + 0 - 6*w + 1/44*w**4 - 1/33*w**3 - 1/165*w**6. Suppose o(u) = 0. What is u?
-1, 1/2
Determine w so that 4681*w**2 - 2513*w**2 - 3100*w - 61*w**3 - 3*w**4 + 16*w**3 + 4072*w**2 - 67*w**4 = 0.
-10, 0, 1/2, 62/7
Let b = 3100 + -3098. Let c = -1 + 3. Suppose 4 + 2*o - b - o**c + 2*o + 2 - o**3 = 0. Calculate o.
-2, -1, 2
Let i(o) = o**3 - 2*o**2 - 2*o + 16. Let u be i(3). What is r in 95*r**4 - 25*r**2 - u*r**4 - 60*r**3 - 3*r - 51*r**2 - 5*r + 68*r**5 = 0?
-1, -2/17, 0, 1
Find f such that 31*f**3 + 15*f + 9*f**2 - 34*f**3 - 21*f = 0.
0, 1, 2
Let y(b) be the first derivative of 25 + 11/6*b**2 - 2*b + 7/3*b**3. Let y(i) = 0. Calculate i.
-6/7, 1/3
Suppose 3*q + t - 4751 = 0, -4*q + 0*t = 2*t - 6334. Solve -20 + q*f + 1586*f - 3184*f - 2*f**2 = 0 for f.
-5, -2
Let d(i) = 2*i**3 - 2*i**2 + 3*i + 3. Let v(n) = -n**3 - n**2 + n - 1. Let t be ((-248)/32 - -7)*4. Let u(s) = t*v(s) - d(s). Find h, given that u(h) = 0.
-6, 0, 1
Find l such that -23*l**5 + 447/5*l**4 + 0 - 406/5*l**3 + 8/5*l - 12*l**2 = 0.
-1/5, 0, 2/23, 2
Suppose -3 = -5*x - h, 3*x + 24*h = 29*h + 41. Let z(k) be the second derivative of 3/2*k**3 + 0*k**x - k - 3/20*k**5 + 0 + 1/2*k**4. Factor z(m).
-3*m*(m - 3)*(m + 1)
Solve 1232/5*p - 44/5*p**3 + 0 - 1824/5*p**2 + 12/5*p**4 = 0 for p.
-11, 0, 2/3, 14
Factor -304/3*g**3 + 4*g**2 + 0 + 0*g.
-4*g**2*(76*g - 3)/3
Let c(n) be the second derivative of -n**6/30 - 47*n**5/10 - 703*n**4/4 + 816*n**3 + 3456*n**2 - 687*n - 1. Determine i, given that c(i) = 0.
-48, -1, 3
Let m(t) = 13*t - 308. Let r be m(20). Let w be ((r/(-45))/4)/(26/65). Determine p, given that 1/3*p**2 + w - p = 0.
1, 2
Let a(q) = 16*q - 80. Let h be a(5). Let k = 2879/4488 - -17/264. What is z in 2/17*z**3 + h + 0*z - k*z**2 = 0?
0, 6
Suppose -22*c + 3 = -20*c - h, 4*c - 4*h - 4 = 0. Let -3*y**3 + 38*y**2 - 36*y**c - 2*y**2 + 12*y = 0. Calculate y.
-2, 0, 2
Let c(g) = -g**3 - 2*g**2 - 12*g - 2. Let s be c(-5). Suppose 5*a + 140 = 1540. Factor -208*n**2 - 133 + 196*n**4 + a*n**3 + 32*n + s.
4*n*(n + 2)*(7*n - 2)**2
Let q(u) = u - 1. Let f(p) = p**2 + 6*p + 25. Let s be f(-6). Let i(v) = v**2 - 2*v - s - 25 + 46. Let g(a) = -i(a) + 4*q(a). Solve g(o) = 0 for o.
0, 6
Let v = -1855287/13 + 143013. Let h = -298 + v. Let h*w**3 - 14/13*w**2 + 2/13 + 4/13*w = 0. What is w?
-1/4, 1
Factor -1/2*i**4 - 5832 - 313/2*i**2 - 23*i**3 + 2484*i.
-(i - 4)**2*(i + 27)**2/2
Let c(l) = l**2 - 234*l + 2645. Let j(h) be the first derivative of 5*h**3/3 - 1405*h**2/2 + 15870*h - 21. Let y(d) = -25*c(d) + 4*j(d). Factor y(b).
-5*(b - 23)**2
Let k = -5902 - -5906. Let z(y) be the second derivative of -1/70*y**6 + 0*y**2 - 9/140*y**5 + 0 + 19*y + 1/28*y**k + 3/14*y**3. Suppose z(j) = 0. Calculate j.
-3, -1, 0, 1
Let g(h) = -8*h**3 + 51*h**2 + 101*h + 57. Let i(y) = -25*y**2 - 1 - 41*y**2 + 67*y**2 + 2*y**3 + y. Let n(p) = -2*g(p) - 10*i(p). Factor n(x).
-4*(x + 1)**2*(x + 26)
Let p = 314 - 538. Let c = p - -224. Factor c + 27/5*q - 3*q**3 - 3/5*q**4 - 9/5*q**2.
-3*q*(q - 1)*(q + 3)**2/5
Let p(f) be the second derivative of -f**6/6 + 43*f**5 - 845*f**4/3 + 560*f**3 - 2647*f. Factor p(j).
-5*j*(j - 168)*(j - 2)**2
Suppose 268/5*m**2 - 352/5 + 72/5*m + 12/5*m**3 = 0. Calculate m.
-22, -4/3, 1
Solve 0*x + 13/7*x**3 + 1/7*x**5 - 6/7*x**2 - 8/7*x**4 + 0 = 0.
0, 1, 6
Let x(p) be the third derivative of 2/115*p**5 - 18*p**2 + 1/276*p**4 - 2/69*p**3 + 0 - 2*p + 3/460*p**6. Let x(r) = 0. What is r?