 + d + 0*k**3.
k*(k - 1)**3*(k + 1)/4
Suppose 32*v - 30*v = 6. Factor -16*s**3 - 4*s**4 + v*s**2 - 4*s**2 - 3*s**2 - 8*s**2.
-4*s**2*(s + 1)*(s + 3)
Let q be (-3)/((-21)/5) + (-4)/(0 - 4). Let s(t) be the second derivative of -2/21*t**3 + 1/21*t**4 + 0 + 20*t - q*t**2. Factor s(m).
4*(m - 3)*(m + 2)/7
Let d(g) be the first derivative of -68 + 1/18*g**3 - 10/3*g + 2/3*g**2. Let d(k) = 0. Calculate k.
-10, 2
Let o(p) = 3*p**4 + 102*p**3 - 198*p**2 + 18*p - 36. Let q(n) = n**4 + 50*n**3 - 99*n**2 + 8*n - 16. Let h(r) = -4*o(r) + 9*q(r). Find j such that h(j) = 0.
0, 3, 11
Let g be (-152)/1040 - 2/13 - (-56)/20. Factor -g*c + 5/2*c**2 + 0.
5*c*(c - 1)/2
Let i = 4249/321 - 121/963. Suppose -i*w + 4/9*w**2 + 58/9 = 0. What is w?
1/2, 29
Let y(t) = 20*t**2 + 140*t. Let u be y(-7). Let c(o) be the second derivative of 1/33*o**3 + 0*o**2 + u - 5*o - 1/66*o**4. Factor c(l).
-2*l*(l - 1)/11
Let d be -14 + (4 - (0 + -2 + 4)). Let h be (-112)/d + 1/(-3). Factor 18*j**3 - 13*j**3 + 4*j**2 - h*j**3.
-4*j**2*(j - 1)
Factor 4/7*l**3 + 20*l**2 + 892/7*l + 108.
4*(l + 1)*(l + 7)*(l + 27)/7
Let s(w) = -w + 261. Let i be s(-24). Let g be (4 - (-14)/(-4)) + i/390. Determine z, given that 6*z**2 + 4/13 - 32/13*z**4 + 34/13*z + g*z**3 = 0.
-1, -1/4, 2
Find l, given that 29/12*l**3 + 0*l + 0 + 1/12*l**5 - l**4 - 3/2*l**2 = 0.
0, 1, 2, 9
Let l(z) = 35*z**2 - 19*z. Let h(x) = -35*x**2 + 12*x. Let s(t) = -6*h(t) - 4*l(t). Solve s(p) = 0 for p.
-2/35, 0
Let h(w) = -2*w**2 - 5*w + 1. Let c be h(-1). Suppose -c*k + 3*k + 12 = 2*a, -13 = -4*k - a. Determine m so that -2/3 - 1/9*m**k - 5/9*m = 0.
-3, -2
Let k be 256/12 + -1 + 4/6. Let g = 6 + k. What is o in -106*o + 207*o**2 - 300*o**4 + g*o**3 + 10*o + 12 - 18*o**3 + 6*o**3 = 0?
-1, 1/4, 2/5
Let d(c) = 15*c - 15. Let w be d(3). Suppose -29*q = -w*q + 20. Solve -q*u - 107*u - 18*u**2 + 19*u - 30 - u**3 - 186 = 0 for u.
-6
Let i be 0/(-4)*2/(-4). Let s be (-9*(-48)/108 - 4)/1. What is g in s + 6/11*g**4 - 2/11*g**5 + i*g - 6/11*g**3 + 2/11*g**2 = 0?
0, 1
Let o be 70/(-8)*14/(-49). Let p(c) be the first derivative of -5/16*c**4 + o*c - 25/8*c**2 - 13 + 5/3*c**3. Factor p(b).
-5*(b - 2)*(b - 1)**2/4
Let k(s) be the third derivative of s**7/63 - 211*s**6/8 + 450299*s**5/36 + 125875*s**4/8 - 1128125*s**3/18 + 3632*s**2. Let k(g) = 0. Calculate g.
-1, 1/2, 475
Let z(t) be the second derivative of 35/6*t**3 - 15/2*t**2 + 1/4*t**5 + 16*t + 1 - 25/12*t**4. Determine u so that z(u) = 0.
1, 3
Let i(b) be the second derivative of b**5/35 - 4*b**4/21 - 2*b**3/21 + 8*b**2/7 + 1948*b. Factor i(g).
4*(g - 4)*(g - 1)*(g + 1)/7
Let d(n) be the third derivative of -1/105*n**7 - 28*n**2 + 0*n**5 + 1/60*n**6 + 0*n + 0*n**3 + 0*n**4 + 0 + 1/672*n**8. Factor d(v).
v**3*(v - 2)**2/2
Let b(x) be the third derivative of 5*x**8/672 - 9*x**7/80 + 121*x**6/480 - 27*x**5/160 + x**4/24 + 7*x**2 - 4*x - 49. Let b(l) = 0. What is l?
0, 1/5, 1/4, 1, 8
Find o such that -1056/7 - 904/7*o + 4/7*o**3 + 156/7*o**2 = 0.
-44, -1, 6
Factor 2*c - 226*c + 2*c**2 - 70*c - 15*c - 187*c + 30752.
2*(c - 124)**2
Let n be 11/6*(-31248)/(-19096). Suppose 0*u - 4/7*u**5 + 22/7*u**4 + 8/7*u**2 - 26/7*u**n + 0 = 0. Calculate u.
0, 1/2, 1, 4
Let 430/9 + 76/9*t - 2/9*t**2 = 0. What is t?
-5, 43
Let c(j) be the first derivative of j**6/1260 - 4*j**5/105 - 7*j**3/3 + 4*j + 21. Let n(o) be the third derivative of c(o). Factor n(r).
2*r*(r - 16)/7
Let z(u) be the third derivative of u**7/105 + 91*u**6/30 + 8461*u**5/30 + 1365*u**4 + 2700*u**3 - 2014*u**2. What is g in z(g) = 0?
-90, -1
Let j be 153/119*((-280)/15 + 21). Determine i, given that 6/11 + 2/11*i**2 + 10/11*i - 2/11*i**j = 0.
-1, 3
Let z(b) be the first derivative of -b**4 - 836*b**3/3 + 1696*b**2 - 3408*b - 2558. Let z(w) = 0. What is w?
-213, 2
Let v be 2/(-2)*((-3)/(-51) - 192/3264). Determine b, given that 0*b + 2/7*b**4 + 22/7*b**3 + v + 0*b**2 = 0.
-11, 0
Let q(m) = -17*m**2 + 155*m + 157. Let n(a) = -7*a**2 + 77*a + 78. Suppose -16 = 2*i + 5*x, -2*i + 3*x = 5 - 21. Let h(s) = i*q(s) - 5*n(s). Factor h(f).
(f - 76)*(f + 1)
Let t(l) be the third derivative of -l**6/90 - 17*l**5/180 - 23*l**4/72 - 5*l**3/9 - l**2 - 21*l - 108. Suppose t(v) = 0. What is v?
-2, -5/4, -1
Let a(o) be the first derivative of 2592/5*o - 72/5*o**2 - 24 + 2/15*o**3. Solve a(z) = 0 for z.
36
Let b(p) be the third derivative of -p**6/120 - 7*p**5/20 + 95*p**4/8 + 6137*p**3/6 - 3*p**2 + 188*p - 2. Factor b(t).
-(t - 17)*(t + 19)**2
Let t(v) be the third derivative of -32*v**2 - 4/35*v**7 - 2*v**4 + 3/8*v**6 + 0 + 0*v**3 + 1/112*v**8 + 0*v + 2/5*v**5. Suppose t(i) = 0. Calculate i.
-1, 0, 1, 4
Suppose 3*j + a = 2*j, 5*a = -20. Let h(o) = 6*o - 17. Let n be h(j). Solve -6*u**3 + 8*u - 2*u**4 - 3*u**4 + n*u**4 = 0 for u.
-1, 0, 2
Let i(h) be the second derivative of 2*h**6/15 - 17*h**5/10 - 53*h**4/6 - 22*h**3/3 - 17*h - 7. Determine u, given that i(u) = 0.
-2, -1/2, 0, 11
Let r = -38 + 40. Suppose 0*c + c - 4*s - 23 = 0, 9 = -r*c - 3*s. Factor -6*l**2 + 3*l**5 + 6*l**4 - 1494*l**3 + 1494*l**c - 3*l.
3*l*(l - 1)*(l + 1)**3
Let j(w) be the third derivative of w**7/70 - 13*w**6/20 - 7*w**5/5 + 13*w**4/4 + 27*w**3/2 + 3*w**2 - 137. Find b, given that j(b) = 0.
-1, 1, 27
Factor 815*n**4 + 902859 + 2275914*n**2 + 4567536*n - 5232*n**3 + 1383528 - 812*n**4.
3*(n - 873)**2*(n + 1)**2
Let m be (21/42)/((-2)/(-172)). Find y such that -36*y**4 - 13*y**3 + 56*y + 24*y**4 + 11*y**2 - m*y + 1 = 0.
-1, -1/12, 1
Let w(x) be the second derivative of -3*x**7/70 - 11*x**6/5 + 803*x**5/100 - 31*x**4/3 + 26*x**3/5 - 2184*x. Determine r, given that w(r) = 0.
-39, 0, 2/3, 1
Let t(k) = 4*k**3 - 4*k**2 + 11*k - 22. Let h be t(2). Let i be 576/264*(3 - 44/h). Factor 4/11 - 10/11*o - 2/11*o**4 + i*o**2 + 2/11*o**3.
-2*(o - 1)**3*(o + 2)/11
Let i(k) = -k**2 + 21*k + 76. Let t be i(24). Let 25*n**3 + t*n**2 - 20*n - 15*n**3 + 10*n**3 - 4*n**4 = 0. What is n?
-1, 0, 1, 5
Let a(b) be the first derivative of 1/5*b**5 + 164 + 0*b - 4/3*b**3 + 0*b**2 - 3/4*b**4. Factor a(l).
l**2*(l - 4)*(l + 1)
Determine y, given that 8717*y**2 - 4594*y**2 + 348*y + 0*y**3 - 4*y**3 - 4467*y**2 = 0.
-87, 0, 1
Let d = -131 + 131. Suppose 52*k - 62 = 152 - 6. Solve 0 + 1/4*f**k + d*f - 1/2*f**3 + 1/4*f**2 = 0.
0, 1
Let c(k) = 15*k**2 + 4100*k - 18300. Let b(x) = -x**2 - 292*x + 1307. Let t(g) = -85*b(g) - 6*c(g). Determine u, given that t(u) = 0.
7, 37
Let u(w) be the second derivative of -w**7/35 + 46*w**6/25 - 1107*w**5/50 - 1898*w**4/5 - 676*w**3 + 2321*w. Solve u(v) = 0.
-5, -1, 0, 26
Suppose 18 = 5*y + 2*f, -2*f - 2 = y - 4. Let v be 120/y*(-2)/35*-1. What is h in -4/7*h**5 + 8/7*h**2 + 0*h**4 + v*h**3 + 0 + 0*h = 0?
-1, 0, 2
Let s(w) be the third derivative of w**8/672 - w**7/210 - 37*w**6/120 - 17*w**5/30 + 73*w**4/48 + 35*w**3/6 + 6930*w**2. What is j in s(j) = 0?
-7, -1, 1, 10
Factor 32/3 + 4*f - 2/3*f**2.
-2*(f - 8)*(f + 2)/3
Find i such that -22472/23*i - 2/23*i**3 + 0 + 424/23*i**2 = 0.
0, 106
Let k = -7201 - -7216. Let d(v) be the second derivative of 19/6*v**3 + 3*v**2 + 1/10*v**5 + k*v + 0 + 5/4*v**4. Factor d(c).
(c + 1)*(c + 6)*(2*c + 1)
Suppose -5*o = 5*f - 3*o + 2111, -436 = f + 5*o. Let a = f - -4633/11. Factor -a*d**4 - 2/11*d**5 - 2/11 + 4/11*d**3 + 4/11*d**2 - 2/11*d.
-2*(d - 1)**2*(d + 1)**3/11
Let s(y) = y + 24. Let b be s(-20). Factor 9639 - 9639 - 4*h**2 + b*h.
-4*h*(h - 1)
Suppose -2*v = -3*v - 5, -5*j - v + 5 = 0. Factor 40*b + 11*b**2 + 100 + 10*b**2 - 17*b**j.
4*(b + 5)**2
Let i(z) be the first derivative of 2*z**5/15 - 8*z**4 - 98*z**3/9 - 2133. Suppose i(p) = 0. What is p?
-1, 0, 49
Let g(c) be the first derivative of c**6/6 - 6*c**5 + 21*c**4 - 82*c**3/3 + 27*c**2/2 + 226. Find s such that g(s) = 0.
0, 1, 27
Factor -5*u**2 - 2*u**4 - 14*u**3 - 9*u**2 + 12*u**2 + 105*u - 21*u - 2*u**3.
-2*u*(u - 2)*(u + 3)*(u + 7)
Let g(a) = -2*a**3 - a + 4. Let k(p) = -2*p**4 + 8*p**3 - 128*p**2 - 30*p + 120. Let j(q) = -60*g(q) + 2*k(q). Solve j(i) = 0.
0, 2, 32
Let s(y) be the third derivative of -y**7/2520 + 3*y**5/40 + 25*y**4/6 + 63*y**2. Let i(f) be the second derivative of s(f). Factor i(m).
-(m - 3)*(m + 3)
Suppose z + 9 = 4*y + 11, 5*y = 0. Let o be (z/4 - 1) + 420/200. Solve -2/5 + 4/5*w**4 - 3/5*w**2 - o*w**3 + 7/5*w = 0.
-1, 1/2, 2
Let w(v) be the second derivative o