f(-5). Solve -2*m**2 + 4*m**2 + 2*m**2 - 2*m - 4 - j*m**2 = 0.
-1, 2
Let t(f) be the second derivative of f**7/14 - f**6/5 + 3*f**5/20 + 27*f. Factor t(p).
3*p**3*(p - 1)**2
Let n(c) be the third derivative of 0*c**3 + 0 - 1/360*c**6 + 23*c**2 + 1/54*c**4 - 2/945*c**7 + 0*c + 1/135*c**5 - 1/3024*c**8. Solve n(w) = 0 for w.
-2, -1, 0, 1
Let r(x) be the third derivative of -5*x**8/168 + x**7/14 - x**5/12 + x**2 - 4. Factor r(i).
-5*i**2*(i - 1)**2*(2*i + 1)
Let x be 356/6 - 6/(-9). Let u be 11 + (-2)/(4/4). Determine z, given that u - 1 + 1 + 3 + 75*z**2 - x*z = 0.
2/5
Let q(z) be the third derivative of -z**6/780 + 11*z**5/130 - 85*z**4/52 - 289*z**3/39 - 238*z**2. Factor q(g).
-2*(g - 17)**2*(g + 1)/13
Suppose 47 = -36*c + 155. Let l(w) be the second derivative of 5*w - 8/39*w**c + 5/78*w**4 - 1/130*w**5 + 4/13*w**2 + 0. Find b such that l(b) = 0.
1, 2
Let m(g) = g + 7. Let l be m(-7). Let q be l/9*(2 - 1). Suppose 3*r**2 + q*r**2 + 9 + 3 - 12*r = 0. What is r?
2
Suppose 3*y + 8 - 29 = 0. Let s = y - 5. Let -s*v + 3*v - 5*v + 2*v**2 = 0. Calculate v.
0, 2
Let m(c) = -797*c**3 - 1956*c**2 - 540*c - 52. Let f(s) = 1586*s**3 + 3913*s**2 + 1080*s + 106. Let i(b) = 6*f(b) + 13*m(b). Factor i(r).
-5*(r + 2)*(13*r + 2)**2
Suppose -4*z + 2 = 5*s, -s + 10 = 4*z - 0*s. Determine p so that -195 - z*p**2 + 195 = 0.
0
Let y(g) = -g - 3. Let p be y(-7). Suppose 3*m - 2 = v, 28 = p*m + v + 4*v. Let -6*t**4 + 10*t**4 + 0*t**2 - 4*t**m = 0. What is t?
-1, 0, 1
Factor 15 - 3*l**3 + l**3 + 5*l**2 - 14*l - 3*l**3 + 39*l.
-5*(l - 3)*(l + 1)**2
Factor -3/4*g**3 + 9/4*g + 0 + 3/2*g**2.
-3*g*(g - 3)*(g + 1)/4
Let w(l) be the second derivative of -5/2*l**2 + 13*l + 0 - 1/12*l**4 - l**3. Suppose w(f) = 0. Calculate f.
-5, -1
Factor 4/9*j**3 - 80/9*j**2 - 88/9 - 172/9*j.
4*(j - 22)*(j + 1)**2/9
Let x(q) be the second derivative of q**8/36960 + q**7/13860 - 5*q**4/12 + 17*q. Let h(y) be the third derivative of x(y). Factor h(b).
2*b**2*(b + 1)/11
Let g(q) = q**2 + q + 1. Let x(h) = 7*h**3 - h. Let v(u) = 3*g(u) - x(u). Let z(w) = -6*w**3 + 4*w**2 + 4*w + 2. Let a(l) = 2*v(l) - 3*z(l). Factor a(m).
2*m*(m - 2)*(2*m + 1)
Let d(b) be the third derivative of b**7/315 - b**6/12 + 29*b**5/45 - 7*b**4/3 + 40*b**3/9 + 51*b**2. Suppose d(w) = 0. What is w?
1, 2, 10
Factor -12/19*m**2 + 0 + 2/19*m**3 + 18/19*m.
2*m*(m - 3)**2/19
Let c(g) = g**3 + g**2 - g. Let q be c(1). Let f(u) = -u**2. Let p(l) = -16*l - 11 - 26 + 4*l**2 + 15 - 10. Let r(i) = q*p(i) + 6*f(i). Factor r(v).
-2*(v + 4)**2
Let u(s) = -18*s**4 - 219*s**3 - 396*s**2 - 207*s + 39. Let n(f) = -10*f**4 - 109*f**3 - 198*f**2 - 104*f + 20. Let m(t) = -9*n(t) + 4*u(t). Factor m(c).
3*(c + 2)**3*(6*c - 1)
Let n = -18 + 18. Let a(q) be the second derivative of n - 1/8*q**2 + q - 1/8*q**3 - 1/80*q**5 - 1/16*q**4. Suppose a(x) = 0. What is x?
-1
Suppose 0 = -5*a + 210 + 425. Let c = a + -125. Let 27/2*y**3 + 0*y + 3*y**c + 0 = 0. What is y?
-2/9, 0
Let u(o) = -2*o**2 - 36*o - 325. Let t(f) = f**2 + 1. Let k(q) = 5*t(q) + 5*u(q). Suppose k(i) = 0. What is i?
-18
Solve -4*b**2 + 2*b**4 - 20*b - 12*b - 6 + 32*b**3 - 6*b**4 + 14*b**4 = 0 for b.
-3, -1, -1/5, 1
Let p be 6 + 96/(-9) + 5. Solve -1/2*v + 0 + 1/6*v**3 - p*v**2 = 0 for v.
-1, 0, 3
Suppose -3*o = -3*t + 97 - 133, 0 = 5*o - 3*t - 56. Let s(f) be the first derivative of -2/15*f**3 + 0*f**2 + o + 1/5*f**4 + 0*f - 2/25*f**5. Factor s(j).
-2*j**2*(j - 1)**2/5
Let j(u) be the second derivative of 1/10*u**5 + 5*u + 0*u**2 + 0 - 1/3*u**4 + 1/15*u**6 + 0*u**3. Factor j(z).
2*z**2*(z - 1)*(z + 2)
Let i(h) be the first derivative of -h**4 + 4/3*h**3 + 0*h + 5 + 0*h**2. Suppose i(r) = 0. Calculate r.
0, 1
Let b(r) be the first derivative of -2*r**3/33 - 2*r**2/11 + 160*r/11 - 655. Factor b(s).
-2*(s - 8)*(s + 10)/11
Let z(j) be the first derivative of 0*j - 13 + j**5 + 0*j**4 - 5/6*j**6 + 0*j**3 + 0*j**2. Suppose z(a) = 0. Calculate a.
0, 1
Factor 7*f**4 - 120 + 3*f**3 - 2*f**4 - 2*f**4 + 222*f - 27*f**3 - 81*f**2.
3*(f - 10)*(f - 1)**2*(f + 4)
Let z(t) be the first derivative of t**6/24 - t**4/2 + t**3/2 + 7*t**2/8 - 3*t/2 - 89. Determine q so that z(q) = 0.
-3, -1, 1, 2
Let t(d) be the second derivative of -7*d - 2/3*d**3 + 0 + 2/3*d**4 - 1/4*d**5 + 1/30*d**6 + 0*d**2. Suppose t(j) = 0. Calculate j.
0, 1, 2
Let x(k) be the first derivative of k**4/22 - 6*k**3/11 + 24*k**2/11 - 40*k/11 + 140. Factor x(p).
2*(p - 5)*(p - 2)**2/11
Solve 21*a**3 - 342*a + 54 + 6*a**2 - 18*a**3 + 279*a = 0.
-6, 1, 3
Let i be (-4)/(-6) + 80/60. Factor 6/11*o**3 - 2/11 + 2/11*o**i - 6/11*o.
2*(o - 1)*(o + 1)*(3*o + 1)/11
Let u = 14 - -21. Suppose -2*m**3 + 15*m**3 + 13*m**3 - u*m**2 + 15*m - m**3 - 5*m**4 = 0. Calculate m.
0, 1, 3
Let q be (35/(-200)*-4 + 24/(-60))*8. Factor q*x**3 + 0*x**4 + 0 - 6/5*x**5 - 6/5*x + 0*x**2.
-6*x*(x - 1)**2*(x + 1)**2/5
Let u(i) be the third derivative of -i**6/420 + 4*i**5/105 - 5*i**4/28 + 50*i**2. Factor u(y).
-2*y*(y - 5)*(y - 3)/7
Let w(d) be the third derivative of -d**8/4032 - d**7/504 + d**5/20 + 14*d**2. Let r(i) be the third derivative of w(i). Factor r(p).
-5*p*(p + 2)
Let x = -104 - -102. Let o be x + -4 + (-19)/(-3). Find m such that -o*m**3 - m**2 + 0*m + 0 = 0.
-3, 0
Factor 5*f**2 + 165*f + 427 + 739 + 308*f - 118*f - 816.
5*(f + 1)*(f + 70)
Let o be (-160)/(-48) + 4*1/(-3). Find c, given that -1/5 + 0*c**4 - 2/5*c**3 + 3/10*c + 1/10*c**5 + 1/5*c**o = 0.
-2, -1, 1
Let t(n) be the second derivative of 0*n**2 + 1/2*n**4 + 0*n**3 + 11*n - 2/5*n**6 + 21/20*n**5 + 0. Find a such that t(a) = 0.
-1/4, 0, 2
Determine z, given that 9*z**3 + 4*z**5 + 16*z**3 - 5*z**4 + 7*z**2 - 2 - 36*z**3 + 7*z = 0.
-1, 1/4, 1, 2
Let s = 374 - 371. Let g be 3/((-3)/(-14)) + -2. Let -g*c + 270*c**2 - s - 5 - 274*c**2 = 0. Calculate c.
-2, -1
Let c(w) be the third derivative of 0*w - 22*w**2 + 0 + 1/180*w**5 + 2/9*w**4 + 32/9*w**3. Solve c(r) = 0.
-8
Let u = -1340 + 1340. Factor u*k + 4/3 - 1/3*k**2.
-(k - 2)*(k + 2)/3
Determine d, given that 5/4*d**3 + 95/4*d**2 + 45/2*d + 0 = 0.
-18, -1, 0
Let h be 1/(-2) - 72/(-16). Find s, given that 36*s**4 - 32*s**4 + h*s**2 + 28*s**2 + 28*s**3 - 64*s = 0.
-4, 0, 1
Let m(o) be the third derivative of 1/14*o**4 + 0*o - 1/105*o**5 + 0 + 8/21*o**3 - 32*o**2. Factor m(k).
-4*(k - 4)*(k + 1)/7
Let v(t) = t**3 - 37*t**2 - 36*t - 74. Let r be v(38). Suppose -2/9*y**r - 2/9*y + 4/9 = 0. What is y?
-2, 1
Let g(s) = -s + 2. Let i be g(0). Suppose -8 = -29*x + 25*x. Determine r, given that -2 + 5*r + x + 165*r**2 - 170*r**i = 0.
0, 1
Let d(h) = -4*h - 2. Let k be d(-1). Suppose t = -i - k*i + 1, 0 = -i + 4*t - 4. Factor i*w + 2*w**3 - 1 - 6*w - 3.
2*(w - 2)*(w + 1)**2
Let g be 10 - ((-19 - -8) + 21). Let h(p) be the second derivative of -1/16*p**4 + g + 1/80*p**5 + 3/8*p**2 - 1/24*p**3 + 12*p. Factor h(i).
(i - 3)*(i - 1)*(i + 1)/4
Let v(u) be the second derivative of -u**4/54 + 7*u**3/27 + 19*u. Factor v(c).
-2*c*(c - 7)/9
Let k(j) be the second derivative of j**10/6048 + j**9/1512 + j**8/1344 - 4*j**4/3 - 14*j. Let b(v) be the third derivative of k(v). Factor b(o).
5*o**3*(o + 1)**2
Let u(d) be the second derivative of -d**4/4 + 71*d**3/2 - 207*d**2 - 133*d - 1. Factor u(x).
-3*(x - 69)*(x - 2)
Let b be ((-1)/(-2) - 1)*4. Let q be 8/b - 572/(-22). Determine k, given that -q*k - 5*k**3 + 22*k + 5*k**2 = 0.
0, 1
Let m(t) = -t**3 - 8*t**2 - 6*t - 7. Let d(x) = x - 1. Let s(k) = -5*d(k) - m(k). Let c be s(-8). Factor -n**5 + 0*n**c + 3*n**4 + 0*n**4 + n**2 - 3*n**3.
-n**2*(n - 1)**3
Let f(s) be the third derivative of s**7/168 + s**6/72 - s**5/12 + 4*s**3/3 - 6*s**2. Let w(k) be the first derivative of f(k). Let w(o) = 0. Calculate o.
-2, 0, 1
Let z(f) be the third derivative of -f**5/12 - 195*f**4/2 - 45630*f**3 + f**2 + 40*f. Let z(o) = 0. Calculate o.
-234
Let r be -3 - (126/(-4))/7. Let y(g) be the second derivative of r*g**3 + 3*g**2 + 0 + 5*g + 1/4*g**4. Determine h so that y(h) = 0.
-2, -1
Let n(l) be the first derivative of 3/20*l**4 - 2/5*l**3 + 0*l + 3/10*l**2 - 15. Factor n(r).
3*r*(r - 1)**2/5
Factor y**2 + 2*y**4 - 25*y**3 - 9*y**2 + 12*y**3 + 2*y**5 + 5*y**3.
2*y**2*(y - 2)*(y + 1)*(y + 2)
Let z(m) = 2*m**4 + 2*m**3 - m**2 + m. Let s(k) = 2*k**5 + 24*k**4 + 22*k**3 - 2*k**2 + 2*k. Let p(b) = s(b) - 2*z(b). What is d in p(d) = 0?
-9, -1, 0
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