**3 + 0*y - 53. Determine z so that j(z) = 0.
-2/7, 0, 1/3
Suppose -8/3 - 49/6*a**3 + 67/6*a**2 + 7*a - 17/2*a**4 + 7/6*a**5 = 0. Calculate a.
-1, 2/7, 1, 8
Determine m, given that 9 + 1/4*m**2 + 5*m = 0.
-18, -2
Let m(i) be the second derivative of -i**8/80 + 3*i**7/70 - i**6/40 - i**5/20 - 2*i**3/3 + i**2 + 37*i. Let k(d) be the second derivative of m(d). Factor k(s).
-3*s*(s - 1)**2*(7*s + 2)
Let u(n) be the third derivative of -n**7/350 + 17*n**5/50 - 12*n**4/5 + 63*n**3/10 + 213*n**2. Find p, given that u(p) = 0.
-7, 1, 3
Suppose 7 = 5*p - f, 0 = -5*f - 2 + 17. Let a(n) be the second derivative of 4*n - 4/3*n**3 - p*n**2 - 1/3*n**4 + 0. Factor a(r).
-4*(r + 1)**2
Factor 1/3*g**2 + 0*g - 12.
(g - 6)*(g + 6)/3
Let s(x) be the second derivative of x**7/7 + 11*x**6/15 + 7*x**5/5 + x**4 - x**3/3 - x**2 - 14*x - 6. Factor s(a).
2*(a + 1)**4*(3*a - 1)
Factor 1/2*l**2 - 7/2 - 3*l.
(l - 7)*(l + 1)/2
Let q(s) be the second derivative of 2*s**6/105 + 3*s**5/35 + s**4/21 - 2*s**3/7 - 4*s**2/7 + 31*s. Let q(l) = 0. What is l?
-2, -1, 1
Suppose -4*l + 2*d + 14 = -0*d, l + 2*d = -4. Suppose o**2 - 5*o**l - o**3 + 2*o**4 - 2*o + 2*o**2 + 3*o**3 = 0. Calculate o.
-1, 0, 1
Let r(u) be the second derivative of 0*u**2 + 0 - 4/15*u**3 - 1/30*u**4 + 30*u. Factor r(l).
-2*l*(l + 4)/5
What is z in 66*z + 5*z**2 - 173*z + 43*z + 69*z = 0?
-1, 0
Let h(n) be the second derivative of n**4 - 14*n + 0*n**2 + 0 + 2*n**3 + 3/20*n**5. Factor h(i).
3*i*(i + 2)**2
Let g(w) be the third derivative of w**5/4 - 25*w**4/12 - 20*w**3/3 + w**2 - 2. Find t such that g(t) = 0.
-2/3, 4
Let s(y) be the first derivative of 3*y**4/8 + y**3/4 - 3*y**2/2 - 9*y/4 - 75. Factor s(q).
3*(q + 1)**2*(2*q - 3)/4
Let s(j) be the second derivative of -j**5/5 - 2*j**4/3 + 16*j**3/3 - 98*j. Factor s(k).
-4*k*(k - 2)*(k + 4)
Let z be 99/(-7) - 2/(-14). Let l = z - -17. What is r in 3*r + 3*r**3 - 2*r**l + 0*r + r**2 - 1 - 4*r**2 = 0?
1
Let k(l) = -3*l**2 + 9*l + 7. Let v(w) = -4*w**2 + 14*w + 11. Let u(q) = -7*k(q) + 5*v(q). Factor u(p).
(p + 1)*(p + 6)
Let c(x) be the second derivative of 5*x**7/42 + 3*x**6/2 - x**5/4 - 15*x**4/4 - 160*x. Suppose c(j) = 0. Calculate j.
-9, -1, 0, 1
Let w(o) be the second derivative of o**7/280 - o**6/80 + o**4/16 - o**3/8 + 3*o**2 - 10*o. Let r(s) be the first derivative of w(s). Solve r(j) = 0 for j.
-1, 1
What is g in -23/6*g + 2/3*g**4 + 4/3*g**3 - 5/3 - 1/6*g**5 - 5/3*g**2 = 0?
-1, 2, 5
Let c(m) = m**2 + 48*m - 98. Let b be c(2). Let k(s) be the third derivative of 0*s**5 + 0 - 3*s**b - 2/15*s**3 + 1/20*s**4 - 1/300*s**6 + 0*s. Solve k(g) = 0.
-2, 1
Factor 57*y**2 - 8*y + 24 + 65*y**2 - 187*y**2 + 63*y**2.
-2*(y - 2)*(y + 6)
Let n(h) be the second derivative of h**5/5 + 4*h**4 - 18*h**3 + 28*h**2 + 44*h. Factor n(f).
4*(f - 1)**2*(f + 14)
Let i(w) be the second derivative of -w**6/210 + 11*w**5/140 + w**4/84 - 11*w**3/42 + 2*w + 18. Factor i(v).
-v*(v - 11)*(v - 1)*(v + 1)/7
Factor -1449*h**3 - 478*h**2 + 135*h**4 - 62*h**2 - 3*h**5 - 1047*h**2.
-3*h**2*(h - 23)**2*(h + 1)
Let t(p) be the third derivative of -p**5/20 - 7*p**4/24 - 5*p**3/6 + p**2. Let j(v) = -75*v**2 + 12 + 74*v**2 - 13 - v. Let f(u) = 5*j(u) - t(u). Factor f(m).
-2*m*(m - 1)
Let a(p) be the third derivative of -p**7/42 + p**5/12 - 7*p**2 + p. Determine k so that a(k) = 0.
-1, 0, 1
Let c(a) be the third derivative of -a**8/1008 - a**7/630 + a**6/120 + a**5/36 + a**4/36 + 64*a**2. Determine s so that c(s) = 0.
-1, 0, 2
Let n = -617 - -620. Let q(c) be the first derivative of 2 + 0*c + 1/2*c**2 + 1/3*c**n. Suppose q(f) = 0. Calculate f.
-1, 0
Let n be (-7 - (0 - -1))/(70 - 71). Let -b + 0 - n*b**3 + 7/2*b**4 + 11/2*b**2 = 0. Calculate b.
0, 2/7, 1
Let y be (-3)/((-40)/16 + 1). Let n be (1/6)/((-2)/(-18)). Determine w so that -9/4*w - 3/4 - n*w**y = 0.
-1, -1/2
Let x(d) = -d**2 - 14*d - 10. Suppose 4*s - 7 = -59. Let j be x(s). Factor 16*y**2 + 13*y**j - 26*y**4 + 8*y**2 + 11*y**4 - 12*y + 8*y**3.
-3*y*(y - 2)*(y + 1)*(5*y - 2)
Solve 45*d**4 + 195*d**3 + 65*d + 965/4*d**2 + 5 = 0 for d.
-2, -1/6
Let v(j) be the first derivative of -5*j**4/12 - 5*j**3/3 - 21*j - 8. Let p(n) be the first derivative of v(n). Factor p(g).
-5*g*(g + 2)
Let w(j) be the second derivative of j**4/6 + 2*j**3 + 152*j. Determine s, given that w(s) = 0.
-6, 0
Let -4/19 + 2/19*y**3 + 4/19*y**2 - 2/19*y = 0. Calculate y.
-2, -1, 1
Suppose 10*v + 1 - 21 = 0. Suppose 4*q - 2*q - 3*j = -6, 0 = -v*q + j - 2. Suppose 3/5*d**5 - 6/5*d**2 - 3/5*d + 0 + 6/5*d**4 + q*d**3 = 0. Calculate d.
-1, 0, 1
Suppose 6*y = -132 - 84. Let i be (y/21)/((-2)/7) - 2. Determine t, given that 1/2*t**5 - i*t**2 + t**4 - 7/2*t - 1 - t**3 = 0.
-1, 2
Let f(p) be the second derivative of -p**4/3 + 56*p**3/3 - 230*p**2 + 35*p + 3. Find g, given that f(g) = 0.
5, 23
Let i(k) = -k**2. Let l(q) be the third derivative of 0*q + 1/10*q**5 + 0 - 3/2*q**3 - 2*q**2 - 1/2*q**4. Let c(p) = 9*i(p) + l(p). Factor c(s).
-3*(s + 1)*(s + 3)
Let i = -94 - -96. Suppose i*x + 3*q - 8 - 11 = 0, -4*x = 2*q - 18. Solve 5/2*r**x - 5/2*r**4 + r**3 - r + 0 = 0.
-1, 0, 2/5, 1
Suppose 2*v - 16 = 2*g, 2*v - 4 = -2*g - 12. Determine k so that -8/13 + 24/13*k - 10/13*k**v = 0.
2/5, 2
Let k(o) = o - 1. Let w(g) = -4*g + 6. Let h(i) = -5*k(i) - w(i). Let c(b) = -44*b**2 + 32*b + 4. Let v(m) = c(m) - 4*h(m). Factor v(u).
-4*(u - 1)*(11*u + 2)
Let x be (-2)/(-4)*(18 + -8). Let n(r) be the first derivative of x - 2/3*r**3 - 18*r - 6*r**2. Factor n(k).
-2*(k + 3)**2
Let g(q) be the second derivative of -9*q**7/7 - 257*q**6/5 + 5981*q**5/30 - 4823*q**4/18 + 1360*q**3/9 - 124*q**2/3 - 150*q + 2. Find n, given that g(n) = 0.
-31, 2/9, 1
Let z = 91 - 88. Factor 0*q**3 - 4*q**4 - 28*q + 32*q - 3*q**z + 3*q**4.
-q*(q - 1)*(q + 2)**2
Let g(p) = 2*p**2 - p - 1. Let t(s) = 7*s**2 - 106*s - 111. Let z(k) = g(k) - t(k). Factor z(f).
-5*(f - 22)*(f + 1)
Let o be (2/(-6))/(6/54). Let p be (o/(-6))/((-1)/20). Let s(i) = -8*i**2 - 6*i + 12. Let r(a) = -a**2 - a + 1. Let h(u) = p*r(u) + s(u). Factor h(n).
2*(n + 1)**2
Determine j, given that 30*j**3 - 174*j**3 - 4*j**5 + 66*j**4 + 91*j**2 - 26*j**4 + 133*j**2 - 128*j = 0.
0, 2, 4
Let z(b) = 2*b - 12. Let l be z(7). Suppose -10 = -2*f + 3*g - l*g, 0 = 4*f + 3*g. Let q**3 + 2*q - 5*q**4 + 27 - 27 - f*q**5 + 5*q**2 = 0. What is q?
-1, -2/3, 0, 1
Let m(r) be the third derivative of r**8/84 - r**7/30 - r**6/24 + r**5/10 - 110*r**2 + 2*r. Factor m(k).
k**2*(k - 2)*(k + 1)*(4*k - 3)
Let r(x) = -10*x**2 + 26*x - 16. Let m(t) = 9*t**2 - 25*t + 16. Let o(j) = -6*m(j) - 5*r(j). Factor o(i).
-4*(i - 4)*(i - 1)
Let d(h) be the second derivative of 1/50*h**5 + 20*h**2 + 7/10*h**4 - 46*h + 8*h**3 + 0. Factor d(l).
2*(l + 1)*(l + 10)**2/5
What is d in -31*d**3 - 24*d**2 + 19*d**3 + 8*d + 2*d**4 + 32 + 14*d**3 = 0?
-4, -1, 2
Let f(w) be the first derivative of w**6/120 - w**5/20 - w**3/3 + 4. Let h(q) be the third derivative of f(q). Factor h(s).
3*s*(s - 2)
Suppose -4*h + 5*h - 2 = 0. Let -29*x**2 + 5*x**h - 21*x**3 + 12*x**4 + 12 + 29*x**3 - 4*x - 4*x**5 = 0. Calculate x.
-1, 1, 3
Suppose 58*r - 17 = 15*r + 69. Suppose -5*n + 40 = 5*j, -2*n - n + 14 = -2*j. Determine y, given that -14/5*y**r - 2/5*y**3 - n*y - 18/5 = 0.
-3, -1
Factor -f**3 - f**2 + 8 + 31*f + 14*f + 8 - 29*f.
-(f - 4)*(f + 1)*(f + 4)
Let f(b) be the second derivative of -2*b**5/15 + 17*b**4/18 - 7*b**3/18 - 2*b**2/3 + b + 28. Factor f(g).
-(g - 4)*(2*g - 1)*(4*g + 1)/3
Let i(h) = 5*h - 7. Let j be i(3). Suppose -26*n = -28*n + j. Suppose 1/3*y**2 - 1/3*y**3 + 1/2*y - 1/6*y**5 + 1/6 - 1/2*y**n = 0. Calculate y.
-1, 1
Factor 156*h**2 - 34*h**3 - 96*h - 146*h**2 + 118*h**2 + 2*h**4.
2*h*(h - 12)*(h - 4)*(h - 1)
Let j(x) be the third derivative of x**5/270 - 17*x**4/27 + 1156*x**3/27 + 204*x**2. Determine a, given that j(a) = 0.
34
Let p be (-450)/8 - (-3)/12. Let y = p + 225/4. Suppose -3/4*m**4 + 0 - 1/4*m**5 - y*m**2 - 3/4*m**3 + 0*m = 0. Calculate m.
-1, 0
Suppose 6*g = -3*g - 9*g. Let i(x) be the second derivative of g - 1/8*x**3 - 1/48*x**4 + 5*x - 1/4*x**2. Factor i(h).
-(h + 1)*(h + 2)/4
Let o = 700/3 - 230. Factor -2/3*x**3 + 8/3*x**2 - o*x + 4/3.
-2*(x - 2)*(x - 1)**2/3
Let z be (288/168)/(6/14). Let j(r) be the first derivative of 7 + 1/2*r**4 - z*r + 2/5*r**5 - 5*r**2 - 2*r**3. Solve j(y) = 0.