z**7/70 - z**6/2 - z**5/20 + 5*z**4/2 + z**2 - 735. Find s such that r(s) = 0.
-1, 0, 1, 20
Let g(q) be the first derivative of -q**6/27 - 10*q**5/9 - 5*q**4/2 + 50*q**3/27 + 46*q**2/9 - 715. Let g(u) = 0. What is u?
-23, -2, -1, 0, 1
Suppose -50/3 - 2/9*v**2 - 40/9*v = 0. What is v?
-15, -5
Let w(g) be the third derivative of 17*g**5/20 + 2*g**4 - g**3/2 - 1109*g**2. Factor w(b).
3*(b + 1)*(17*b - 1)
Let i(n) = 71*n - 424. Let p be i(6). Let v(w) be the third derivative of 0*w - 1/12*w**3 - 1/240*w**5 - 1/32*w**4 + 0 - 6*w**p. Factor v(d).
-(d + 1)*(d + 2)/4
Let z = -89 + 99. Suppose 16*t**3 - 64*t + 29*t**3 - 18*t**3 - 24 + 14*t**2 + z*t**4 + 37*t**3 = 0. What is t?
-6, -1, -2/5, 1
Suppose 3*i = -3*d - 9, -5*i + 3*d - 32 = -9. Let u be (-6 + (-4 - i))/(-17). What is b in 2/17*b**2 - 8/17*b + u = 0?
1, 3
Let b = 61478 - 553300/9. Factor b*c**2 - 10/9*c + 0.
2*c*(c - 5)/9
Let w(q) be the first derivative of -15*q**6/2 - 8*q**5 + 545*q**4/4 - 80*q**3 - 350*q**2 + 80*q - 7685. Determine h, given that w(h) = 0.
-4, -1, 1/9, 2
Let m(x) = 2665*x + 173227. Let g be m(-65). Find o, given that 2805/2*o**g + 867/2*o**3 + 312*o + 18 = 0.
-3, -2/17
Let b be 19/((-133)/(-28))*89/4. Let w = b + -259/3. Factor -w*s**3 + 0 - 2/3*s**4 - 10/3*s**2 - 4/3*s.
-2*s*(s + 1)**2*(s + 2)/3
Let p(n) be the first derivative of -3*n**6/2 + 11*n**5/2 - 85*n**4/12 + 10*n**3/3 - 109*n + 95. Let y(t) be the first derivative of p(t). Factor y(a).
-5*a*(a - 1)**2*(9*a - 4)
Let d(m) be the third derivative of m**5/12 + 185*m**4/6 + 841*m**2. Solve d(u) = 0.
-148, 0
Let c be (108/(-8))/((-117)/12). Let h be 28/(-546)*(-19 + (0 - -4) + -3). Determine s, given that -2/13*s**2 + h*s - c = 0.
3
Suppose 8*v = 22*v. Suppose -8*t + 13*t = v. Factor t + 15/4*c**3 - 2*c**2 - 3/4*c - c**4.
-c*(c - 3)*(c - 1)*(4*c + 1)/4
Let v(k) be the first derivative of 4*k**3/3 - 5156*k**2 + 6646084*k - 5622. Factor v(h).
4*(h - 1289)**2
Let o(w) be the second derivative of w**4/60 - 77*w**3/30 - 7*w + 5. Factor o(m).
m*(m - 77)/5
Let i(c) be the third derivative of -c**8/2016 + c**6/20 - 4*c**5/45 - 4*c**4/3 - 2*c**2 + 3*c + 9. Determine t so that i(t) = 0.
-6, -2, 0, 4
Let c(d) be the third derivative of -1/4*d**5 + 0*d**3 + 0*d + 200*d**2 + 1/12*d**4 + 0 + 13/120*d**6. Factor c(b).
b*(b - 1)*(13*b - 2)
Factor -16*g**3 + 28/5*g**4 - 2/5*g**5 - 288/5*g**2 + 864/5*g + 1728/5.
-2*(g - 6)**3*(g + 2)**2/5
Let p(l) be the third derivative of 1/12*l**5 + 0*l + 1/168*l**7 + 0 + 1/24*l**6 + 70*l**2 + 0*l**3 + 0*l**4. Factor p(m).
5*m**2*(m + 2)**2/4
Let x(h) = 12*h**2 - 451*h + 449. Let k(o) = 14*o**2 - 452*o + 450. Let v(w) = 5*k(w) - 6*x(w). Factor v(i).
-2*(i - 222)*(i - 1)
Let f(u) be the first derivative of -13 - 3/70*u**5 - 16*u + 0*u**2 - 4/7*u**3 + 5/14*u**4. Let x(q) be the first derivative of f(q). Factor x(j).
-6*j*(j - 4)*(j - 1)/7
Factor 3462*b**2 + 3656*b**2 - 5*b**5 - 700*b**3 - 130*b**4 - 5158*b**2.
-5*b**2*(b - 2)*(b + 14)**2
Let o = -1147 + 1151. Suppose -4*c = 8, o*c + 23 = 5*h - 0. Let -7/2*b**h - 5 + 27/2*b + 15*b**2 = 0. What is b?
-1, 2/7, 5
Factor 92/3*a - 2/3*a**2 - 176/3.
-2*(a - 44)*(a - 2)/3
Let a(i) be the first derivative of 2*i**6/21 + 12*i**5/35 - 11*i**4/7 - 20*i**3/7 + 92*i**2/7 - 96*i/7 - 2295. Suppose a(o) = 0. What is o?
-4, -3, 1, 2
Let t(i) be the third derivative of -i**8/1512 - i**7/315 + i**6/90 + 13*i**5/135 + i**4/4 + i**3/3 + 904*i**2. Find b such that t(b) = 0.
-3, -1, 3
Let n(c) be the third derivative of c**9/241920 - c**8/26880 + c**7/10080 + 77*c**5/60 + 112*c**2. Let s(z) be the third derivative of n(z). Factor s(k).
k*(k - 2)*(k - 1)/4
Let v = 16339/45 - 363. Let a(p) be the first derivative of -1/9*p**2 + 2/9*p**3 + 5/18*p**4 + v*p**5 - 2/9*p + 24. Factor a(c).
2*(c + 1)**3*(2*c - 1)/9
Let z be 1/(2 - 38/20). Let b be (111/(-74)*(-4)/z)/1. Suppose b*f**3 + 3/5*f**2 - 3/5*f**4 - 3/5*f + 0 = 0. What is f?
-1, 0, 1
Solve -8*b**2 - 33773 + 323*b + 33549 + 129*b = 0 for b.
1/2, 56
Let s(g) be the second derivative of g**4/6 - 979*g**3/3 - 2225*g. Let s(m) = 0. Calculate m.
0, 979
Let t(z) = 4*z**3 - 10*z**2 - 12*z + 2. Let s(h) = -24*h + 31*h**2 + 6 - 1 - 51*h**2 - h**3 + 10*h**3. Let c(o) = 2*s(o) - 5*t(o). Solve c(f) = 0 for f.
-1, 0, 6
What is g in 608 - 488*g + 232*g**2 - 244*g + 6*g**3 - 608 - 2*g**3 = 0?
-61, 0, 3
Let w(p) = p**2 - 27*p - 88. Let s be w(30). Let z = 189/4 - 47. Factor 0 - 7/8*u**s - z*u.
-u*(7*u + 2)/8
Let d(g) be the first derivative of -g**3/2 + 81*g**2/4 + 297*g + 8445. Solve d(f) = 0 for f.
-6, 33
Suppose 3*g = v + 12, -8*v = -3*v + g - 4. Suppose v = -u - 0 + 2. Factor 4*d + 38*d - 19*d + d + 36*d**u + 4.
4*(3*d + 1)**2
Let c(b) = b**2 + 22*b + 72. Let k be c(-18). Let t(a) be the third derivative of 1/180*a**5 + k + 0*a**3 - 1/360*a**6 + 0*a + 0*a**4 + a**2. Factor t(i).
-i**2*(i - 1)/3
Let v be (0 - -6)/((-1)/(8/12)). Let k be (-2)/4 + (v - -5). Find z such that -9/2*z**2 + 3*z - k = 0.
1/3
Suppose 14 = 2*s, u + s - 9 = -0*u. Let o(t) be the first derivative of 0*t**4 + 0*t - 1/6*t**6 - 2/3*t**3 + 2/5*t**5 + 11 + 1/2*t**u. Factor o(j).
-j*(j - 1)**3*(j + 1)
Factor -7395858 - 1/2*f**2 - 3846*f.
-(f + 3846)**2/2
Let s = -243 - -247861/1020. Let q = 253/2040 + s. Determine p, given that 1/8*p**3 + 0*p + 0 + 1/4*p**2 - q*p**4 = 0.
-1, 0, 2
Let x(z) = z**2 + 5*z - 33. Let y be x(-9). Suppose 4*v + 6*k = 5*k + 23, -14 = -v - 3*k. Factor v*d**y - 8*d**3 - d**2 - 12 + 4*d**2 + 12*d.
-3*(d - 2)*(d - 1)*(d + 2)
Suppose -255 = -197*m + 112*m. Let w(i) be the second derivative of -1/33*i**m + 36*i - 1/110*i**5 + 0*i**2 + 0 - 1/33*i**4. Determine a so that w(a) = 0.
-1, 0
Let w(t) be the third derivative of t**5/60 + 409*t**4/24 + 36*t**2 + 93*t + 2. Factor w(f).
f*(f + 409)
Factor 465/2 + 1/2*w**2 + 79*w.
(w + 3)*(w + 155)/2
Let o(i) be the second derivative of -i**5/60 - 7*i**4/18 + 34*i**3/9 - 12*i**2 - 551*i. Factor o(n).
-(n - 2)**2*(n + 18)/3
Let q(x) be the first derivative of -x**6/1980 - x**5/132 - x**4/22 - 65*x**3/3 - 149. Let c(m) be the third derivative of q(m). Suppose c(k) = 0. Calculate k.
-3, -2
Let v be 2 - -5 - (4/(-14))/(540/(-4590)). Find r such that 6/7*r**4 - 32/7*r**2 + v - 8/7*r**3 + 0*r + 2/7*r**5 = 0.
-2, 1, 2
Let r = -25864 + 25867. Let u(b) be the second derivative of -1/20*b**4 + 0*b**2 + 3/20*b**r + 0 + 33*b + 1/200*b**5. Factor u(n).
n*(n - 3)**2/10
Let l(x) be the first derivative of 16*x**3/21 - 1010*x**2/7 + 72*x - 2586. Factor l(j).
4*(j - 126)*(4*j - 1)/7
Let g(r) be the second derivative of r**6/60 - 13*r**5/20 - 39*r**4/8 - 15*r**3/2 - r - 56. Factor g(l).
l*(l - 30)*(l + 1)*(l + 3)/2
Let v(o) be the third derivative of o**7/840 + o**6/120 + 1401*o**2. Solve v(g) = 0.
-4, 0
Let g(y) = y**3 - 11*y**2 + 4*y - 25. Let i be g(11). Factor 38*o**3 + 15*o**2 + 3*o + 0*o - 6 + 30*o**2 + 21*o**4 + i*o**3.
3*(o + 1)**3*(7*o - 2)
Let d = -1584 - -1584. Let l(s) be the second derivative of 3/16*s**2 + 1/96*s**4 + d - 1/12*s**3 - 16*s. Find w, given that l(w) = 0.
1, 3
Let d(y) be the first derivative of -4*y**3/3 - 54*y**2 - 104*y + 888. Factor d(l).
-4*(l + 1)*(l + 26)
Factor -8*i**4 + 36*i**3 - 15*i**2 + 29005*i - 29203*i + 5*i**4.
-3*i*(i - 11)*(i - 3)*(i + 2)
Suppose 0 = 84*g - 143*g. Find s such that 0*s + 0*s**2 + g + 1/9*s**5 + 0*s**3 + s**4 = 0.
-9, 0
Let u(q) = -10*q**2 + 62*q - 52. Let r(t) = t**2 - t. Let c(l) = 13*l**2 - 65*l + 52. Let x(a) = c(a) - 4*r(a). Let h(k) = 5*u(k) + 6*x(k). Factor h(v).
4*(v - 13)*(v - 1)
Suppose 378*g - 175 + 162 - 1311 = 188. Determine v so that 22/3*v**2 + 4*v + 0 - 4/3*v**5 + 4/3*v**3 - 10/3*v**g = 0.
-2, -1, 0, 3/2
Find i, given that 880/17*i**2 + 2/17*i**3 + 96800/17*i + 0 = 0.
-220, 0
Let s(c) be the first derivative of 168 + 0*c**3 + 0*c + 0*c**2 - 5/16*c**4 + 1/20*c**5. Find g, given that s(g) = 0.
0, 5
Let h(t) be the third derivative of 5*t**7/42 + 47*t**6/8 + 7*t**5/3 + 91*t**2 - t. Determine r, given that h(r) = 0.
-28, -1/5, 0
Solve 38/7*m**4 + 0 + 256*m**2 + 2048/7*m + 1/7*m**5 + 456/7*m**3 = 0 for m.
-16, -4, -2, 0
Let y(b) = -24514*b + 73544. Let d be y(3). Factor -1/4 - z**d + 5/4*z.
-(z - 1)*(4*z - 1)/4
Let q(a) be the second derivative of 211*a - 1/105*a**7 + 0*a**2 + 0 - a**5 + 4/25*a**6 + 14/5*a**4 - 3*a**3. Determine o so that q(o) = 0.
0, 1, 3, 5
Let 