derivative of 19/3*f**4 + 0 - 22*f**2 + 1/15*f**5 + 722/3*f**3 + 0*f. Factor z(q).
4*(q + 19)**2
Let f = 4869/10 - 43811/90. Factor -f*a**2 + 10/9*a + 11/9.
-(a - 11)*(a + 1)/9
Let f(q) be the first derivative of 9*q + 19 + 169/3*q**3 + 39*q**2. Factor f(y).
(13*y + 3)**2
Let x(h) be the third derivative of -h**5/210 - 9*h**4/14 - 51*h**3/7 + 13*h**2 + 49*h - 2. Let x(b) = 0. What is b?
-51, -3
Let f(w) = -w - 10. Let t be f(-10). Suppose -16 = 4*z, j + t*j = -2*z - 6. Factor 19*v + 0*v**2 - 33*v + 3*v**j + 29*v.
3*v*(v + 5)
Let c be -1*3 + (-1 - -105). Let x = c + -59. Factor 96*n - 80 + 44 + 20*n**2 - 42*n**2 - x*n**2.
-4*(4*n - 3)**2
Suppose 6*l + 6 = -5*c + 2*l, 0 = -2*c - 2*l - 4. Suppose -5*r + 4 = -c*t - 2, 4*r - 5*t = -2. Factor 30*p**2 - 13*p**r + 2*p - 19*p**2.
-2*p*(p - 1)
Let f = -3 + 5. Let b be 96/32 + (-25)/(-1). Factor -18*x**2 + b*x**2 + x**4 + 20*x**f - 5*x**3 - 6*x**4 - 40 + 20*x.
-5*(x - 2)*(x - 1)*(x + 2)**2
Let a(b) be the second derivative of -b**4/12 + 1262*b**3/3 - 796322*b**2 + 2000*b. Suppose a(d) = 0. Calculate d.
1262
Let l(q) be the second derivative of -50*q - 3675/8*q**2 + 35/4*q**3 - 1/16*q**4 + 2. What is u in l(u) = 0?
35
Suppose b - 3*x = 34, -2*b - 4 = -3*b - 3*x. Factor 8 - b - 60*z + 67 + 4*z**2.
4*(z - 14)*(z - 1)
Let s(j) be the third derivative of -289/2*j**4 - 6*j - 1/40*j**6 - 17/5*j**5 - 4*j**2 + 0*j**3 + 0. Find v, given that s(v) = 0.
-34, 0
Factor -2592/5*b - 18*b**3 + 0 - 3/5*b**4 - 864/5*b**2.
-3*b*(b + 6)*(b + 12)**2/5
Let r be 120/15 - (-6)/3. Factor -r*c**3 + 6*c**3 + 25*c**3 + 32 - 27*c**2 + 130 - 3*c**4 - 81*c.
-3*(c - 3)**3*(c + 2)
Let y = -110267 + 110269. Factor 0*w**y - 8/3 - 4/3*w**3 + 4*w.
-4*(w - 1)**2*(w + 2)/3
Suppose -20 = -5*k + 2*l, k + 3*l = -1 + 5. Suppose 20 = -4*i, -k*m + 17 = -i - 4. What is j in -18/5*j**3 + 12/5 + 39/5*j**2 + 3/5*j**m - 36/5*j = 0?
1, 2
Let l be ((-7)/(105/6))/(((-1309)/140)/17). Let 0*b + 2/11*b**4 - 8/11*b**3 + l*b**2 + 0 = 0. Calculate b.
0, 2
Suppose j + 2*n = 4, -5*j + 4*j + 4*n = 8. Suppose 4*v - 3*v + 4*f + 10 = j, -3*f = -5*v + 42. Factor v*s**2 - 42*s**4 + 0*s**2 - 8*s**3 + 44*s**4.
2*s**2*(s - 3)*(s - 1)
Suppose 33 - 8 = 25*t. Let o be t - 3 - ((-195)/(-50) - 6). Factor 2/5*m + o*m**2 + 3/10.
(m + 1)*(m + 3)/10
Let q = -122 + 125. Factor 260*x - 127*x + 676*x**q + 208*x**2 - 117*x.
4*x*(13*x + 2)**2
Let n(q) be the first derivative of q**6/33 + 6*q**5/55 - q**4/2 - 2*q**3/11 + 10*q**2/11 - 841. Determine l so that n(l) = 0.
-5, -1, 0, 1, 2
Suppose 7*q = 10*q - 6. Let k(d) = 0*d**3 + 7 - 7*d**3 + 9*d**3 + 5*d + 9*d**4 - q*d**2. Let i(u) = -u**2 - u - 1. Let o(t) = 14*i(t) + 2*k(t). Factor o(b).
2*b*(b - 1)*(b + 1)*(9*b + 2)
Let f be 20 - (-3 - (-30)/(-10)). Let n = f - 230/9. Suppose -n*u - 4/3 - 1/9*u**4 + 0*u**3 + u**2 = 0. Calculate u.
-3, -1, 2
Let c = 50763 + -50760. Factor 1/2*q - 1/3*q**2 - 1/6*q**5 - 1/3*q**c - 1/6 + 1/2*q**4.
-(q - 1)**4*(q + 1)/6
Let u(b) be the second derivative of -b**9/5040 + b**8/560 - b**7/210 + 31*b**4/6 + 2*b. Let l(w) be the third derivative of u(w). Let l(d) = 0. What is d?
0, 2
What is t in -360*t**3 + 4*t**5 - 144 + 100*t**2 - 235*t**3 + 44*t**4 - 144*t + 735*t**3 = 0?
-6, -3, -2, -1, 1
Let y(l) be the first derivative of -l**3/7 + 129*l**2/14 - 1056*l/7 + 3477. Let y(i) = 0. What is i?
11, 32
Suppose -8*r = 3*r. Suppose r = -34*k - 0 - 0. Factor k + 1/4*x**2 + x.
x*(x + 4)/4
Let q be (5 + (-18)/4)/(3/12). Let d(j) be the first derivative of -4*j**3 + 8*j**3 - 8*j**q - 16*j + 16*j**2 - 15. Factor d(p).
4*(p + 2)*(3*p - 2)
Let d(y) be the first derivative of y**7/420 - 7*y**6/360 + 13*y**5/360 + y**4/24 + 55*y**2 - 17. Let r(b) be the second derivative of d(b). Factor r(i).
i*(i - 3)*(i - 2)*(3*i + 1)/6
Let o(b) = -b**4 + 11*b**2 - 1. Let i(n) = 30*n**4 + 155*n**3 + 415*n**2 + 1060*n + 545. Let z(v) = i(v) + 25*o(v). Factor z(s).
5*(s + 1)*(s + 2)**2*(s + 26)
Let n be ((-2)/4*1)/((5/(-12))/((-15)/(-6))). Factor 8*q**4 + 0*q + 26/5*q**n + 4/5*q**2 + 18/5*q**5 + 0.
2*q**2*(q + 1)**2*(9*q + 2)/5
Let o(b) be the third derivative of b**7/140 - 137*b**6/80 + 119*b**5 - 289*b**4 - 242*b**2 + 2. Factor o(u).
3*u*(u - 68)**2*(u - 1)/2
Suppose -176*c + 451 - 99 = 0. Let q(n) be the first derivative of 3/4*n**c + 30 - n - 1/6*n**3. Suppose q(i) = 0. Calculate i.
1, 2
Let z be (0 - (-162)/(-8))/(21/(-56)). Suppose -84 + z = -15*y. Let -28/3*g**3 - 8/3*g**y + 0 + 4/3*g - 16/3*g**4 = 0. What is g?
-1, 0, 1/4
Let b(i) be the third derivative of -i**7/1155 + 89*i**6/330 - 2699*i**5/110 + 356*i**4/3 - 704*i**3/3 - 5332*i**2. Factor b(t).
-2*(t - 88)**2*(t - 1)**2/11
Let z(u) = u**3 - 11*u**2 - 13*u + 22. Let t be z(12). Factor 71*x**3 - 3*x**4 - 7 - 65*x**3 - 6*x + t.
-3*(x - 1)**3*(x + 1)
Let t(n) be the third derivative of -n**6/90 + n**4/6 + 73*n**3/6 + n**2 + 18*n. Let a(z) be the first derivative of t(z). Find h, given that a(h) = 0.
-1, 1
Suppose -2583 = 50*q - 20883. Factor q*x**3 + 2 + 362*x**3 - 3*x - 727*x**3.
(x - 1)**2*(x + 2)
What is w in -18/11*w - 2/11*w**2 - 28/11 = 0?
-7, -2
Suppose 0 = -3*p + 3*k + 105, 4*k + 52 = 5*p - 120. Let x be (p/12)/((-8)/(-6)). Factor 1/5*l**x + 3/5*l + 0.
l*(l + 3)/5
Let w(t) be the first derivative of -180 + 84*t - 4/3*t**3 - 8*t**2. Factor w(u).
-4*(u - 3)*(u + 7)
Let a(w) be the third derivative of -w**5/40 - 7*w**4/16 + 2*w**3 + w**2 - 270. Suppose a(t) = 0. What is t?
-8, 1
Let s be -1*(33 + (-2812)/84). Find t, given that -8/21 - 16/21*t - 2/21*t**3 - s*t**2 = 0.
-2, -1
Let p(q) be the second derivative of 1/18*q**4 - 4*q + 0*q**2 + 0*q**3 + 0. What is i in p(i) = 0?
0
Solve -190*o + 258*o + 5*o**2 - 260 + 187*o = 0 for o.
-52, 1
Let c = 83/2 - 40. Let p = -115447 - -461821/4. Determine i, given that -27/4*i**2 - c - p*i = 0.
-1, -2/9
Let k(h) = h**3 + 3 + 2 + 57*h**2 - 52*h**2. Let w be k(-5). Solve -4 - 4 - 10*n + 8 + w*n**2 = 0 for n.
0, 2
Let z be 1 + -2 + (34298 - 2). Factor 1928*n + 5*n**4 + 280*n**3 - z + 0*n**4 + 5130*n**2 + 26952*n.
5*(n - 1)*(n + 19)**3
Factor -48*k**3 + 2*k + 117*k**4 + 2*k**5 + 3*k**5 - 369*k**2 + 403*k**2 - 7*k - 103*k**4.
k*(k - 1)**2*(k + 5)*(5*k - 1)
Let f(y) be the third derivative of 1/16*y**4 + 0 - 1/840*y**7 - 11*y + 11/240*y**5 + y**2 + 0*y**3 + 1/120*y**6. Factor f(u).
-u*(u - 6)*(u + 1)**2/4
Let f(m) be the third derivative of -m**6/300 - 92*m**5/75 + 1743*m**2. Factor f(h).
-2*h**2*(h + 184)/5
Let w(c) be the third derivative of -11*c**5/20 - 295*c**4/72 + c**3/3 - 137*c**2 - 6. Factor w(h).
-(h + 3)*(99*h - 2)/3
Suppose -164*j**4 + 23523*j**5 - 23519*j**5 + 236*j**3 + 1764*j**2 + 1360*j**3 = 0. Calculate j.
-1, 0, 21
Let b(s) be the first derivative of -5*s**3/3 - 20*s**2 - 60*s + 1180. Let b(v) = 0. What is v?
-6, -2
Let b(o) be the second derivative of 10/3*o**2 - 3*o - 2/3*o**3 + 1/36*o**4 + 15. Let b(f) = 0. What is f?
2, 10
Suppose 15*w - 52*w = -10*w - 15*w - 11520. Solve -w - 48*i - 3/5*i**2 = 0.
-40
Let b be (-3570)/3927*(-55)/2. Let d(n) be the first derivative of -20/3*n**3 + 0*n - b - 20*n**2 + 15/2*n**4 + 5*n**5 + 5/6*n**6. Solve d(y) = 0 for y.
-2, 0, 1
Let h(n) = -n**3 - 5*n**2 - 6*n - 5. Suppose -y + 4*s = 4, 6*s = 5*y + 3*s + 20. Let k be h(y). Factor 0 - 6/7*x**k + 3/7*x**4 + 6/7*x - 3/7*x**2.
3*x*(x - 2)*(x - 1)*(x + 1)/7
Let j(f) be the first derivative of -f**5/10 + 5*f**4 + 43*f**3/2 + f**2 - 86*f + 23. Let j(x) = 0. Calculate x.
-2, 1, 43
Let f(t) = -58*t**2 + 72 - 10*t - 51*t**2 + 96*t**2. Let n(p) = -32*p**2 - 24*p + 180. Let a(v) = -12*f(v) + 5*n(v). Suppose a(w) = 0. Calculate w.
-3, 3
Let s be 6/(-21)*-9 + 12/(-21). Factor 8 + 8*w + 342*w**2 - 344*w**s + w**3 - 3*w**3.
-2*(w - 2)*(w + 1)*(w + 2)
Let w be -97 + 101 - -1*2/2. Let c(j) be the first derivative of 37 + w*j**3 - 21/2*j**2 + 6*j. Factor c(z).
3*(z - 1)*(5*z - 2)
Let w(k) be the third derivative of 37*k**2 - 14/15*k**4 + 23/150*k**6 + 0*k + 2/25*k**5 + 2/75*k**7 - 16/15*k**3 + 0. Find s, given that w(s) = 0.
-2, -2/7, 1
Let q be (4/4)/((-6 - 182/28) + 13). Factor -61/10*r - 31/10 + 1/5*r**q.
(r - 31)*(2*r + 1)/10
Let z be 70 + -58 + 18 + -1. Let u be 2/6 - (-28)/6. Find k, given that 0 - 20*k**2 - u*k**5 + 20*k**4 + 44*k + 0 - 10*k**3 - z*k = 0.
-1, 0, 1, 3
Let z = -285709 + 285730. Let g = -4 + 7. Suppose -12 - z*n**2 + 9/2*n**g + 30*n = 0. Ca