ivative of 27/80*j**5 + 1/2*j**3 - 1/56*j**7 + 0 - 11/16*j**4 - 1/40*j**6 + 0*j**2 - 44*j. Factor v(s).
-3*s*(s - 1)**3*(s + 4)/4
Let w = -5086 - -5098. Let g(i) be the second derivative of 1/180*i**5 + 1/54*i**3 + w*i - 1/27*i**4 + 0 + 1/3*i**2. Let g(h) = 0. Calculate h.
-1, 2, 3
Suppose -2*d - 22 = p - 17, 2*d = 4*p - 20. What is w in -3*w**3 + 3*w**4 - 6 + 3*w**2 + 4*w**3 + 8*w**p + 10*w - 19*w = 0?
-2, -1, 1
Let g be 5 - 0 - (-8)/(-4). Let k(f) = 2*f**2 - 6*f + 2. Let s(o) = -2*o**2 + 7*o - 2. Let q(c) = g*k(c) + 2*s(c). Factor q(n).
2*(n - 1)**2
Let y be (-5)/((-4)/(-14) - 312/112). Factor 2*l**3 + 1028 + 4*l**2 - 1028 + y*l.
2*l*(l + 1)**2
Let x be 244/152 - 8/133*427/244. Factor -x*k**2 - 1083/2 + 57*k.
-3*(k - 19)**2/2
Factor 655 - 807 - 2*x + 76*x + x**2.
(x - 2)*(x + 76)
Let q(a) be the first derivative of -a**6/24 + a**5/4 + a**4/8 - 5*a**3/6 - a**2/8 + 5*a/4 + 418. Solve q(y) = 0 for y.
-1, 1, 5
Let o = -3199 - -4759. Let l be 2/(-12) - (-4316)/o - 1. Factor -l*v**2 + 0 - 2/5*v**3 - 8/5*v.
-2*v*(v + 2)**2/5
Let w(y) be the first derivative of 1 + 2/9*y**3 - 22*y**2 + 726*y. Determine n so that w(n) = 0.
33
Let b(v) be the third derivative of -v**6/1080 + v**5/72 + 32*v**3/3 - 3*v**2 - 9*v. Let p(z) be the first derivative of b(z). Factor p(s).
-s*(s - 5)/3
Find k, given that 60*k**2 + 682*k + 134*k**2 + 7989*k + k**3 + 2954*k - 2216*k = 0.
-97, 0
Suppose 153 - 168 = -5*g. Let z(b) be the second derivative of 5*b + 0 - b**2 - 1/6*b**4 - 2/3*b**g. Determine d so that z(d) = 0.
-1
Let j(u) = -17*u**3 - 5360*u**2 - 4806150*u - 1433834755. Let b(x) = -3*x**3 + 2*x**2 - 1. Let r(l) = 10*b(l) - 2*j(l). Factor r(h).
4*(h + 895)**3
Let n be ((-10254)/378 + 27)*(0 + -18). What is c in 52/7*c - 16/7 - n*c**3 + 52/7*c**2 = 0?
-1, 1/4, 4
Let w = -33489 + 33491. Solve 36/5 - 12/5*c + 1/5*c**w = 0 for c.
6
Let j(u) be the first derivative of -u**3/9 + 29*u**2/3 - 147*u + 5417. Let j(i) = 0. Calculate i.
9, 49
Let b(a) = -1023*a + 11256. Let w be b(11). Find h, given that -4/7*h**w - 128*h - 112 - 116/7*h**2 = 0.
-14, -1
Let h = -32081/12 - -8027/3. Factor 9/2*b**2 - h - 51/4*b.
3*(b - 3)*(6*b + 1)/4
Let f(r) = 3*r - 83. Let o be f(21). Let i be (-84)/o*110/264. Factor 9/4 + 1/4*h**3 + i*h**2 - 17/4*h.
(h - 1)**2*(h + 9)/4
Let i(k) be the second derivative of k**2 - k + 11 - 5/3*k**3 + 1/7*k**7 + 1/5*k**5 + k**4 - 7/15*k**6. Factor i(x).
2*(x - 1)**3*(x + 1)*(3*x - 1)
Let -1869/2*y**2 - 241804367/2 + 1164387/2*y + 1/2*y**3 = 0. Calculate y.
623
Let d(w) be the first derivative of w**4/12 + 94*w**3/3 + 7709. Determine s so that d(s) = 0.
-282, 0
Find s, given that -20*s - 14*s**2 + 12*s**2 - 4 + 3*s**4 - 9*s**2 + 10*s**3 + 12 + 10*s = 0.
-4, -1, 2/3, 1
Let w(n) be the third derivative of -n**8/1512 + n**7/135 + n**6/108 - 7*n**5/54 - n**4/27 + 28*n**3/27 + 1142*n**2 - 2*n. Determine a, given that w(a) = 0.
-2, -1, 1, 2, 7
Let i = -1054 + 1054. Suppose i = -10*z - z + 44. Factor 39/4*l**3 - 9/2*l**z - 9*l**2 + 3*l + 3/4*l**5 + 0.
3*l*(l - 2)**2*(l - 1)**2/4
Let i be (0 - 189004/11)/(-26 + 24). Let o = 8600 - i. Let -146/11*f**2 + 14*f**4 - 8/11 + 64/11*f - o*f**5 + 34/11*f**3 = 0. Calculate f.
-1, 2/7, 1
Let i be (-1476)/60 - (47 + -72). Factor -3/5*f**2 + 1/5*f**4 - 1/5*f**3 + 1/5*f + i.
(f - 2)*(f - 1)*(f + 1)**2/5
Let u = 94049/62698 - 1/31349. Factor -2*o + 2*o**2 + 1/2*o**5 - 2*o**4 + u*o**3 + 0.
o*(o - 2)**2*(o - 1)*(o + 1)/2
Suppose -89*j - 174 = 48*j - 166*j. Factor 3/4*n**3 - 27/4*n**2 + j*n + 0.
3*n*(n - 8)*(n - 1)/4
Let v(c) be the first derivative of 80 + 49/6*c + 1/18*c**3 + 7/6*c**2. Find z, given that v(z) = 0.
-7
Let n(d) be the third derivative of d**5/330 + 17*d**4/66 - 24*d**3/11 - 7*d**2 + 3*d. Suppose n(a) = 0. Calculate a.
-36, 2
Let t be -1*3 + (-3663)/(-1210). Let o = 191/55 + t. Solve 0 + o*w**3 - w - 5/2*w**2 = 0 for w.
-2/7, 0, 1
What is w in -6/11*w**4 + 10*w**2 + 12/11*w + 30/11*w**3 - 2/11*w**5 - 144/11 = 0?
-3, -2, 1, 4
Let -8808674 - 7488*x - 3535315 - 8029855 + 2*x**2 - 3*x**2 + 6356308 = 0. Calculate x.
-3744
Suppose -65 = -6*b + b. Suppose 8*o - b*o = 0. Solve -1 + 0*h + 7 + 3*h**3 - 9*h + o*h = 0.
-2, 1
Let x(z) be the second derivative of -3*z**5/80 - 111*z**4/4 - 8133*z. Factor x(f).
-3*f**2*(f + 444)/4
Let z(l) be the third derivative of l**7/525 - 1819*l**6/450 - 1619*l**5/150 + 101*l**4/15 + 2428*l**3/45 + 198*l**2 + 2*l. Let z(u) = 0. Calculate u.
-1, 2/3, 1214
Let p(u) = -u**3 + 12*u**2 - 32*u + 22. Let n be p(7). Suppose -n*d - 24 = -55*d. Factor 6/5*l**4 + 0 - 3/5*l**5 + 0*l**d + 0*l - 3/5*l**3.
-3*l**3*(l - 1)**2/5
Let x(y) be the first derivative of -6*y**3 + 722*y**2 - 320*y + 5500. Suppose x(f) = 0. Calculate f.
2/9, 80
Factor 56*u + 23 - 75*u**5 + 80*u**5 + 80*u**2 - 210 - 10*u**4 - 40*u**3 + 27 + 24*u.
5*(u - 2)**3*(u + 2)**2
Let 243/2*b - 30*b**2 - 135 + 3/2*b**3 = 0. Calculate b.
2, 3, 15
Find y, given that -33*y**2 - 7*y + 4 + 140*y - 37*y**2 + 61*y - 28*y**2 = 0.
-1/49, 2
Let p = -56631 + 56633. Factor -1/7*m**p - 9/7*m + 10/7.
-(m - 1)*(m + 10)/7
Let j(y) be the second derivative of -y**10/7560 + y**9/945 - y**8/336 + y**7/315 - 25*y**4/12 - y - 7. Let s(g) be the third derivative of j(g). Factor s(p).
-4*p**2*(p - 2)*(p - 1)**2
Let y = 10588 + -10576. Let o(g) be the second derivative of -y*g - 5/9*g**4 + 0 + 25/18*g**3 + 0*g**2 - 1/12*g**5. Factor o(v).
-5*v*(v - 1)*(v + 5)/3
Let u(v) be the third derivative of 0 + 1/420*v**6 + 0*v + 72*v**2 - 4/15*v**5 + 28/3*v**4 + 0*v**3. Factor u(a).
2*a*(a - 28)**2/7
Suppose 5*j + 65 = 5*p, -3*p + 84*j - 78*j + 72 = 0. Factor 1/2*u**3 + 8*u**p + 77/2*u + 49.
(u + 2)*(u + 7)**2/2
Let r = 62 - 46. Let t(p) = 4*p - 23. Let i be t(r). Factor 8*n**2 + i - 10*n - 3*n**3 + 4*n**3 - 3*n**3 - 37.
-2*(n - 2)*(n - 1)**2
Let n(j) = -1059*j - 31770. Let t be n(-30). Let -2/5*o**2 - 74/5*o + t = 0. What is o?
-37, 0
Let i(u) = 2*u**2 + 23*u + 27. Let p be i(-15). Let d = p - 130. Let 0*w**3 - 2/9*w**4 + 0 + 0*w + 2/9*w**d = 0. What is w?
-1, 0, 1
Let r(t) be the first derivative of -2*t**5/15 + 23*t**4/2 - 44*t**3 + 174. Solve r(x) = 0.
0, 3, 66
Let h = 3/49 - -25/392. Let b be 11/((-11)/(-275)*55). Find g, given that -1/8*g**4 - h - 1/8*g - 1/8*g**b + 1/4*g**3 + 1/4*g**2 = 0.
-1, 1
Let k = 432 + -413. Factor 65*b**3 - b + 2842*b**2 - 25*b**4 - k*b - 2862*b**2.
-5*b*(b - 2)*(b - 1)*(5*b + 2)
Determine k so that 2/5*k**4 - 8/5*k**2 - 41/5*k + 18/5*k**3 + 6 - 1/5*k**5 = 0.
-3, -2, 1, 5
Let n(s) be the first derivative of -6*s - s**2 + 1/18*s**4 + 1 + 2/9*s**3. Factor n(r).
2*(r - 3)*(r + 3)**2/9
Let c(y) be the second derivative of y**8/2688 - y**6/288 + 7*y**4/12 + y**3/6 + y + 17. Let z(x) be the third derivative of c(x). Factor z(n).
5*n*(n - 1)*(n + 1)/2
Let o be (-15)/(-6) + 135/90. Let l(y) be the first derivative of 2/3*y**6 + y - 9/5*y**5 + 1/2*y**o + 8/3*y**3 + 12 - 3*y**2. Determine m, given that l(m) = 0.
-1, 1/4, 1
Let q(n) be the third derivative of n**3 - 1/40*n**6 - 1/70*n**7 + 5/8*n**4 + 0*n + 1 + 3/20*n**5 - 22*n**2. Factor q(g).
-3*(g - 2)*(g + 1)**3
Let j(b) be the first derivative of -5*b**4 + 40*b**3 + 9 + 1/4*b**5 - 24*b - 160*b**2. Let s(d) be the first derivative of j(d). Factor s(u).
5*(u - 4)**3
Let m = -366 + 1465/4. Let j be 10/6 - (-2)/6. Factor 1/4*x - 1/2 + m*x**j.
(x - 1)*(x + 2)/4
Suppose -179*d = -174*d - 75. Suppose 0 = 5*i - u - 7, -9*i + 12*i + 3*u = d. Factor 1/4*h - 17/4*h**3 + 0 + 9/4*h**4 + 7/4*h**i.
h*(h - 1)**2*(9*h + 1)/4
Let l(q) = 3*q**3 - q - 1. Let z(w) = -2*w**4 + 25*w**3 - 42*w**2 - 71*w + 1. Let x(h) = -2*l(h) - 2*z(h). Factor x(r).
4*r*(r - 12)*(r - 3)*(r + 1)
Suppose -2*x - 7 = -3, 0 = -4*q - 2*x + 32. Suppose -20 = 4*t - q*t. Determine c, given that -58*c**5 - 4*c**t + 0*c**4 + 48*c**5 = 0.
-2/5, 0
Suppose -3*w + 21 = 3*i, 5*i + 0 = -w - 5. Let x(u) = -u - 42. Let z be x(-45). What is s in -737 + 737 + 5*s**5 - w*s**2 - 15*s**z = 0?
-1, 0, 2
Let o(h) be the third derivative of 7*h**6/180 - 149*h**5/90 + 277*h**4/36 - 15*h**3 - 12*h**2. Factor o(w).
2*(w - 1)**2*(7*w - 135)/3
Factor 60 - 1809*o**2 + 1783*o**3 + 1821*o**2 + 74*o - 1785*o**3.
-2*(o - 10)*(o + 1)*(o + 3)
Let c be 134 + -137 + (1 - 1 - -8). Suppose o = c*w + 10, -2*o + 4 = -0*w - 2*w. Solve 14/9*t - 2/9*t**3 + o + 4/3*t**2 = 0 for t.
-1, 0, 7
Let k 