ive of 6*m + 0*m**r - 1/35*m**5 - 4/147*m**7 + 0*m**4 + 0 + 0*m**2 + 2/35*m**6. Factor k(c).
-4*c**3*(c - 1)*(2*c - 1)/7
Let j = -28 - -42. Let x = -11 + j. Find z such that 0 + 6/7*z - 27/7*z**2 + x*z**3 = 0.
0, 2/7, 1
Let z(c) be the second derivative of c**6/120 - c**5/20 + 2*c**3/3 - 2*c**2 - 26*c. Solve z(n) = 0 for n.
-2, 2
Let p(q) = 7*q**2 + 1238*q + 78127. Let g(h) = 8*h**2 + 1232*h + 78128. Let a(s) = 2*g(s) - 3*p(s). Factor a(o).
-5*(o + 125)**2
Suppose -18 - 12 = -3*q. Suppose f = q*f. Suppose -2*m**5 + 22/3*m**2 + 26/3*m**4 - 4/3*m + f - 38/3*m**3 = 0. Calculate m.
0, 1/3, 1, 2
Let q(o) be the second derivative of o**5/100 - 2*o**4/15 - 2*o**3/15 + 16*o**2/5 - 6*o - 5. Factor q(n).
(n - 8)*(n - 2)*(n + 2)/5
Suppose -11*x - 394 + 438 = 0. Let h(z) be the first derivative of 4/3*z**3 - 1/3*z**6 - 2*z**4 - 8/5*z**5 + 8 + 5*z**2 + x*z. Suppose h(c) = 0. What is c?
-2, -1, 1
Let r(q) = -8*q**2 - 6*q - 8. Let m(v) = 12*v**2 + 8*v + 12. Let o(n) = 5*m(n) + 8*r(n). Suppose o(b) = 0. Calculate b.
-1
Let g(h) be the first derivative of 2*h**5/35 + h**4/7 - 2*h**3/3 + 4*h**2/7 + 728. Suppose g(z) = 0. What is z?
-4, 0, 1
Suppose 110/7*v + 38/7*v**2 + 2/7*v**3 - 726/7 = 0. Calculate v.
-11, 3
Let b(k) be the second derivative of 0 - 1/30*k**3 + 1/5*k**2 + 5*k - 1/60*k**4. Let b(c) = 0. Calculate c.
-2, 1
Let h(x) be the first derivative of -14 + 2/27*x**3 + 0*x - 1/9*x**2. Determine q, given that h(q) = 0.
0, 1
Suppose 0 = -2*w + 4*d - 12, -5*w + 7 = -2*d + 5. Factor 7/3*z**2 + 1/3*z**5 + 0 - z**4 - z**3 + w*z.
z*(z - 3)*(z - 2)*(z + 1)**2/3
Let p = -3457/2 - -644730/373. Let m = 11945/6714 + p. Suppose 2/9 - 16/9*c - 32/9*c**4 + 10/3*c**2 + m*c**3 = 0. Calculate c.
-1, 1/4, 1
Factor 57*a**2 - 60229*a + 3*a**3 - 227 + 60586*a + 962.
3*(a + 5)*(a + 7)**2
Determine a so that -3*a**5 - 3*a**3 - 4*a**2 + 2*a**4 - 155 + 7*a**3 - 2*a + a**5 + 157 = 0.
-1, 1
Factor -1/3*h**2 - 5292 - 84*h.
-(h + 126)**2/3
Let b(x) = 10*x**2 + 5*x - 25. Let a be (0 - (-1 + -6)) + -4. Let w(i) = 5*i**2 + 2*i - 13. Let z(v) = a*b(v) - 5*w(v). What is c in z(c) = 0?
-2, 1
Suppose -4*a + 10*a = -582. Let j = a + 100. Find x such that 0 + 12*x**2 - 9/2*x - 8*x**j = 0.
0, 3/4
Let p = -103754 + 318530/3. Let u = p + -2391. Factor u*s**2 - 64/3*s - 25/3*s**3 + 4.
-(s - 3)*(5*s - 2)**2/3
Let z(v) be the first derivative of 2/21*v**3 - 9 - 2/35*v**5 + 0*v**4 + 0*v + 0*v**2. Suppose z(w) = 0. What is w?
-1, 0, 1
Let t(n) be the second derivative of n**6/90 - n**5/60 - n**4/12 + 5*n**3/18 - n**2/3 - 116*n. Factor t(i).
(i - 1)**3*(i + 2)/3
Let m(g) be the first derivative of g**6/1980 - g**5/110 + 3*g**4/44 - 16*g**3/3 - 18. Let n(p) be the third derivative of m(p). Factor n(f).
2*(f - 3)**2/11
Suppose 7*o - 3*o = -4*u - 112, 0 = -4*o - 5*u - 116. Let y be 16/(-90) + (o/20)/(-3). Solve 8/9*i + 16/9*i**2 + 0 + y*i**4 + 10/9*i**3 = 0.
-2, -1, 0
Let j be (-5)/(-25) - 24/(-5). Suppose 33 = 4*i - 4*s + 1, i - j*s - 20 = 0. Factor 156*r**2 - 156*r**2 - r - 4*r**3 + i*r.
-4*r*(r - 1)*(r + 1)
Let r = -2391 - -2395. Let k(v) be the second derivative of -14*v + 5/48*v**r + 0*v**2 - 1/80*v**5 + 0 - 1/6*v**3. Factor k(o).
-o*(o - 4)*(o - 1)/4
Let v(i) = -6*i + 2. Let o be v(-2). Let d be (-8*o/(-4))/2. Factor 3*n + 8*n**3 + 2 - 2*n - d*n**2 + 3*n.
2*(n - 1)**2*(4*n + 1)
Suppose -22*q + 15*q = -14. Let b be (2/6)/(3/27). Let 4*s**2 - b*s + 2*s**q - 3*s**2 + 9*s = 0. What is s?
-2, 0
Let v(w) be the first derivative of 0*w + 9 + 0*w**2 - 1/20*w**4 - 2/15*w**3. Factor v(b).
-b**2*(b + 2)/5
Let z be ((-54)/(-30))/((-3)/(-10)). Suppose -3*b = -z*b + 9. Determine m so that b*m**2 + 2*m - 4 + m - 2 = 0.
-2, 1
Let 821*d**2 - 4*d + 4 - 1 - 1 - 819*d**2 = 0. What is d?
1
Let k be (2/(-11) + 570/110)/1. Suppose 12 = -3*z + 4*z + 4*x, 15 = z + k*x. What is n in 2/5*n**5 + z + 0*n**4 + 0*n - 6/5*n**3 + 4/5*n**2 = 0?
-2, 0, 1
Let h(c) be the third derivative of c**9/12096 - c**8/2688 - c**7/672 + c**4/12 + c**3/2 - 4*c**2 + 1. Let x(n) be the second derivative of h(n). Factor x(q).
5*q**2*(q - 3)*(q + 1)/4
Let a be (-11 + 4)/7*(-12 + 12). Factor 1/6*y**4 + 4/3*y**2 + a + 8/3*y - 7/6*y**3.
y*(y - 4)**2*(y + 1)/6
Let d be (-15430)/(-165) + 12/176 + 3/(-12). Determine k, given that d*k + 55/3*k**4 + 5/3*k**5 + 215/3*k**3 + 80/3 + 365/3*k**2 = 0.
-4, -1
Factor -165*g - 3/4*g**2 - 9075.
-3*(g + 110)**2/4
Suppose -4*h + 0 = -4, -s - 2*h + 6 = 0. Let c = -747 + 847. Determine a, given that -440*a**2 + 7 + 208*a - c*a**5 + 284*a**3 - 18 + 80*a**s - 21 = 0.
-2, 2/5, 1
Let k be (-5 - 3385/(-675))*(-3)/(-4). Let p(a) be the second derivative of 1/36*a**4 + 0*a**2 + 12*a + 0*a**3 + 1/30*a**5 + 0 + k*a**6. Solve p(d) = 0.
-1, 0
Let d(x) be the first derivative of x**8/840 + x**7/175 - 2*x**5/75 + 4*x**2 + 9. Let h(o) be the second derivative of d(o). Factor h(t).
2*t**2*(t - 1)*(t + 2)**2/5
Suppose -2*v + 4*i = 16, i - 5 = -2*v + 4. Determine k, given that 2*k + k + k**2 - 2*k**2 - v*k = 0.
0, 1
Let l(p) be the second derivative of -p**7/70 - p**6/40 + 7*p**2 - 14*p. Let a(i) be the first derivative of l(i). Factor a(x).
-3*x**3*(x + 1)
Let h = 40 - 43. Let v be ((-52)/(-234))/((-8)/90*h). Solve 1/3*p**2 - 5/6*p**3 - 1/3 + v*p = 0 for p.
-1, 2/5, 1
Let u = -566 - -571. Let s(g) be the third derivative of 0 - 3/20*g**6 - 1/8*g**4 + 0*g + 0*g**3 - 1/112*g**8 + 3*g**2 + 2/35*g**7 + 1/5*g**u. Factor s(y).
-3*y*(y - 1)**4
Let m(s) be the third derivative of s**8/840 - 4*s**7/105 + 59*s**6/150 - 6*s**5/5 + 27*s**4/20 - 22*s**2. Determine v, given that m(v) = 0.
0, 1, 9
Let h(k) be the third derivative of k**6/660 + 23*k**5/165 - 95*k**4/132 + 16*k**3/11 + 145*k**2. Factor h(r).
2*(r - 1)**2*(r + 48)/11
Let j(z) = 7*z - 8 - 12*z**3 + 25*z**3 - 12*z**3 + 8*z**2 + 0*z. Let o be j(-6). Factor -o + y**2 + 22 - y.
y*(y - 1)
Let o be 167/6 + (-4)/(-24). Let m be (4/o)/((-3)/(-12)). Determine i so that -m*i**2 - 12/7 + 16/7*i = 0.
1, 3
Let p = -1459 - -1461. Solve 6/7*s + 0*s**p - 4/7 - 2/7*s**3 = 0 for s.
-2, 1
Let m be 16/(-208) + 80/26. Let s(j) be the first derivative of -17/4*j**m + 7 + 11/4*j**4 - j + 3*j**2 - 3/5*j**5. Determine g, given that s(g) = 0.
1/2, 2/3, 2
Suppose l - 2 + 6 = 0, 0 = z + l + 2. What is b in 0 + 3/2*b**4 - b - 3/2*b**z + 1/2*b**5 + 1/2*b**3 = 0?
-2, -1, 0, 1
Let q(x) be the third derivative of -x**5/120 + 5*x**4/16 + 411*x**2. Find d, given that q(d) = 0.
0, 15
Solve -14*l**2 + 46 + 18*l**2 - 20 - 60*l + 19 + 11 = 0 for l.
1, 14
Let s = -7215/14 + 1031/2. Factor s*q**2 - 16/7*q + 64/7.
(q - 8)**2/7
Let w(c) be the first derivative of c**4/4 + 20*c**3/3 + 388. Suppose w(i) = 0. What is i?
-20, 0
What is u in 4/7*u**4 - 136/7*u**3 + 36*u**2 + 136/7*u - 256/7 = 0?
-1, 1, 2, 32
Let m(c) be the first derivative of 7*c**4/10 - 776*c**3/15 + 5264*c**2/5 + 6272*c/5 - 799. What is k in m(k) = 0?
-4/7, 28
Determine p so that -4/5*p**5 - 20*p**3 - 36/5*p + 34/5*p**4 + 0 + 114/5*p**2 = 0.
0, 1/2, 2, 3
Let r(p) be the second derivative of -p**4/3 - 52*p**3/3 - 338*p**2 + 175*p. What is f in r(f) = 0?
-13
Let r(s) be the first derivative of 4*s**3/15 + 212*s**2/5 + 11236*s/5 + 4. Factor r(g).
4*(g + 53)**2/5
Let j be -3 - ((-3)/2 - 0) - -2. Suppose 0*w**4 - j*w**5 - 6*w + 7/2*w**3 - 4 + w**2 = 0. What is w?
-2, -1, 2
Let s be (1 - -4)/(-1) + 9. Let r(v) be the second derivative of -1/100*v**5 + 1/60*v**s + 4*v + 0*v**3 + 0*v**2 + 0. Solve r(g) = 0 for g.
0, 1
Determine y, given that -3*y**3 - 34 - 2927*y**2 + 2 - 32*y + 2949*y**2 = 0.
-2/3, 4
Factor 189 - 10*g**2 - 8*g**2 - 555 + 45*g**2 - 1275*g - 6*g**2.
3*(g - 61)*(7*g + 2)
Find h such that -2/3*h**4 + 22*h**2 + 0 - 34/3*h - 10*h**3 = 0.
-17, 0, 1
Let w(n) be the first derivative of -n**4/2 - 8*n**3/3 - n**2 + 12*n + 59. Factor w(g).
-2*(g - 1)*(g + 2)*(g + 3)
Suppose -4 - 26 = 2*f. Let d = f - -18. Find o such that 0*o**3 - 24*o + 0*o**3 - d*o**4 + 12 + 9*o**2 + 6*o**3 = 0.
-2, 1, 2
Let w(f) be the first derivative of 11/4*f**2 - 3/2*f + 13 - 3/8*f**4 - 5/6*f**3. Factor w(r).
-(r - 1)*(r + 3)*(3*r - 1)/2
Let w be (-142)/(-126) - (936/(-126) - -7). Let 2/9*r**5 - 2/9*r**3 + 0*r - 2/3*r**4 - 8/9 + w*r**2 = 0. What is r?
-1, 1, 2
Factor 8/3*d**2 + 0 + 2*d - 8/9*d**4 - 4/9*d**3 + 2/9*d**5.
2*d*(d - 3)**2*(d + 1)**2/9
Let h(k) = -3*k**4 - k**4 + 6*k**2 - 6*k - 