/9. Factor o*z + 2/5*z**2 + 8/5.
2*(z + 2)**2/5
Let m(q) = 16*q**3 + 279*q**2 - 144*q + 20. Let h(f) = f**2 + f - 2. Let o(w) = -3*h(w) - 3*m(w). Determine b so that o(b) = 0.
-18, 1/4
Factor -45/2*j + 12*j**2 - 3/2*j**3 + 0.
-3*j*(j - 5)*(j - 3)/2
Let n be ((-4)/(-10))/((-3 - -4) + 0). Let g(t) be the second derivative of -n*t**2 + 0 - 1/5*t**3 - 2*t - 1/30*t**4. Suppose g(x) = 0. Calculate x.
-2, -1
Find g such that -40*g**4 + 207*g - 186*g + 4*g**5 + 128*g**2 + 96*g**3 - 533*g = 0.
-2, 0, 4
Let i(w) be the first derivative of w**2/2 + 13*w + 1. Let r be i(-10). Factor 14*d**3 - 18*d**2 - 2*d**4 - 4*d**3 + 14*d - 7 + 3 + 0*d**r.
-2*(d - 2)*(d - 1)**3
Let n(k) = -2*k**2 - 14*k - 12. Suppose -t = -2*t - 5. Let p(g) = g**2 + 13*g + 12. Let d(m) = t*n(m) - 6*p(m). Factor d(y).
4*(y - 3)*(y + 1)
Suppose 11 = 3*z + 5. Factor -6*p**2 + 8*p**2 + 7 - 3 + 4*p - 5*p**z.
-(p - 2)*(3*p + 2)
Let p be -1*8/(-16)*0. Let r(q) be the third derivative of -1/120*q**5 + 2*q**2 + p*q + 0 + 0*q**4 + 0*q**3 + 1/240*q**6. Solve r(u) = 0 for u.
0, 1
Let g = 79 + -76. Solve -71*n**2 - 18*n**g - 8*n + 43*n**2 + 6*n**3 = 0 for n.
-2, -1/3, 0
Let b(i) = -6*i**3 - 2*i**2 + 2*i + 2. Let q be (-5 - (-14)/4)/(9/(-6)). Let u(w) = -w**3 - w**2 + w + 1. Let n(c) = q*b(c) - 2*u(c). Solve n(g) = 0 for g.
0
Suppose 0*g + 5*w = -5*g + 20, 5*g - 18 = -3*w. Find j such that 2/13*j**4 + 6/13*j**2 + 2/13*j + 6/13*j**g + 0 = 0.
-1, 0
Let b = -15 + 27. Let q = b + -11. Factor 3*d - 5*d**3 - q - 3*d**2 + 4*d**3 - 6*d.
-(d + 1)**3
Let f(j) be the second derivative of -24*j + 0 + 1/8*j**4 - 1/40*j**5 - j**2 + 0*j**3. Find p such that f(p) = 0.
-1, 2
Factor -84 + 19 + 47 + 4*f**2 - f**2 - 3*f.
3*(f - 3)*(f + 2)
Let h(v) = 2*v**3 - 4*v**2 + 8*v - 6. Let j = 4 - 3. Let p(f) = -41*f + 2 - j + 40*f. Let g(u) = 2*h(u) + 12*p(u). Factor g(l).
4*l*(l - 1)**2
Let m(k) be the second derivative of 4/35*k**5 + 11*k + 1/21*k**6 + 0*k**3 + 2/21*k**4 + 0*k**2 + 1/147*k**7 + 0. Factor m(n).
2*n**2*(n + 1)*(n + 2)**2/7
Let o be 65/15 + (-32)/8 + 2. Suppose -1/2*p**2 + 5/6 - o*p = 0. What is p?
-5, 1/3
Let y(c) be the first derivative of -c**9/756 - c**8/105 - c**7/42 - c**6/45 + 38*c**3/3 + 16. Let z(b) be the third derivative of y(b). Solve z(h) = 0.
-2, -1, 0
Suppose 8*q - 28 = 12. Let s(i) be the second derivative of -q*i + 0 + 1/60*i**4 + 0*i**3 + 0*i**2. Factor s(w).
w**2/5
Let a(k) be the first derivative of 0*k**2 + 1/120*k**6 + 0*k**5 - k**3 + 0*k + 5 - 1/280*k**7 + 0*k**4. Let u(y) be the third derivative of a(y). Factor u(v).
-3*v**2*(v - 1)
Let u(w) be the third derivative of -5*w**8/1512 - 43*w**7/945 + 41*w**6/180 - 97*w**5/270 + 11*w**4/54 - 11*w**2 + w. Determine c, given that u(c) = 0.
-11, 0, 2/5, 1
Let x(p) = -2*p**2 + 9*p + 9. Let g be x(5). Let w(s) = 5*s**2 - 5*s - 1. Let a(v) = 2*v**2 - 2*v. Let t(c) = g*w(c) - 9*a(c). Suppose t(r) = 0. What is r?
-1, 2
Let -6/13*b + 36/13 - 2/13*b**2 = 0. Calculate b.
-6, 3
Let o(f) be the second derivative of f**7/840 + f**6/120 + f**5/60 - 4*f**2 + 16*f. Let t(b) be the first derivative of o(b). Factor t(s).
s**2*(s + 2)**2/4
Let p(j) = -19*j**3 + 37*j**2 - 19*j - 7. Suppose n + 2*n = -6. Let i(g) = -6*g**3 + 12*g**2 - 6*g - 2. Let q(v) = n*p(v) + 7*i(v). Find t, given that q(t) = 0.
0, 1/2, 2
Factor 154*n - 3*n**2 - 69 - 6*n**2 - 19*n - 54*n**2 - 3*n**3.
-3*(n - 1)**2*(n + 23)
Let b(o) = -o**3 + 9*o**2 + 150*o - 1005. Let c be b(6). Find n, given that 0 + 3/4*n + 3/8*n**c - 9/8*n**2 = 0.
0, 1, 2
Suppose k + 3*k - 136 = 0. Suppose -4*c = -3*i + 44, -3*i = -0*i - 2*c - k. Factor i*t + 67*t**2 - t**3 - 66*t**2 - 4*t - 4.
-(t - 2)*(t - 1)*(t + 2)
Let d be (104/468)/(-2 + (-76)/(-30)). Let z(u) be the second derivative of 0 + 1/40*u**5 - 3*u + 1/2*u**2 + 1/6*u**4 + d*u**3. Factor z(s).
(s + 1)**2*(s + 2)/2
Let z(p) be the first derivative of -p**5/360 - p**4/72 - 7*p**2/2 + 11. Let k(c) be the second derivative of z(c). Solve k(s) = 0.
-2, 0
Let o(v) = 112*v + 786. Let a be o(-7). Determine w so that 3*w**a + 0 - 3/5*w = 0.
0, 1/5
Let a = 662/5 - 132. Let j = -4 + 6. Suppose -6*x**3 - a*x + 34/5*x**j - 2/5 = 0. What is x?
-1/5, 1/3, 1
Suppose 39/2*f**2 - 507*f - 1/4*f**3 + 4394 = 0. Calculate f.
26
Let x(m) = m**2 + 15*m + 7. Let i be x(-15). Let u = i + -3. Solve -4*j**2 + 1 + 3 - u = 0.
0
Let k(r) be the first derivative of 5*r**4/4 - 70*r**3/3 + 245*r**2/2 - 553. What is w in k(w) = 0?
0, 7
Let m(t) be the second derivative of 1/540*t**6 - 8*t - 1/90*t**5 + 0*t**2 + 1/2*t**3 + 0*t**4 + 0. Let x(k) be the second derivative of m(k). Solve x(p) = 0.
0, 2
Suppose 3*n - 4*h - 8 = 0, -3*h + 20 = 4*n - 3*n. Suppose 3*o - n*o + 15 = 0. Suppose -2*b**o + b - 2*b**2 + b - 20*b**4 + 22*b**4 = 0. Calculate b.
-1, 0, 1
Let w(t) = t**2 - 7*t - 8. Let a be w(8). Let p = -1194 - -1194. Factor -2/5*f**4 + a*f + 4/5*f**3 - 2/5*f**2 + p.
-2*f**2*(f - 1)**2/5
Factor -113*a**3 + 18*a**4 + 109*a**3 - 11*a**2 - 17*a**4 + 30*a.
a*(a - 5)*(a - 2)*(a + 3)
Let q(a) be the second derivative of -5*a**7/42 + 13*a**6/6 - 12*a**5 + 15*a**4 - 7*a. Solve q(d) = 0.
0, 1, 6
Let g(s) = -38*s + 534. Let j be g(14). Find x such that -7/6*x - 1/6*x**3 - 5/6*x**j - 1/2 = 0.
-3, -1
Let v(q) be the first derivative of 0*q**2 - 12 + 3/2*q**4 + 0*q - q**3 - 3/5*q**5. Solve v(i) = 0.
0, 1
Let v(q) be the third derivative of -5/336*q**8 + 0*q**4 + 18*q**2 + 0*q**3 + 0 + 1/24*q**6 + 1/42*q**7 + 0*q - 1/12*q**5. What is p in v(p) = 0?
-1, 0, 1
Let o be ((-165)/66)/(-5*6/18). Find z such that 1/2*z**3 + z + o*z**2 + 0 = 0.
-2, -1, 0
Let z(l) be the second derivative of -2 + 5/4*l**3 - 75/2*l**2 + 3/40*l**5 + l**4 - 3*l. Factor z(j).
3*(j - 2)*(j + 5)**2/2
Let f(u) be the first derivative of 0*u**4 + 0*u**3 + 2*u + 0*u**2 - 4 + 1/70*u**5 - 1/147*u**7 + 0*u**6. Let s(q) be the first derivative of f(q). Factor s(y).
-2*y**3*(y - 1)*(y + 1)/7
Let n(h) = -5*h**5 - 5*h**4 + 5*h**3 + 9*h**2 + 4*h. Let q be -6*((-2)/3)/1. Let y(l) = l**2 + l. Let a(u) = q*y(u) - n(u). Find w, given that a(w) = 0.
-1, 0, 1
Let s(m) be the second derivative of -m**4/16 - 5*m**3/8 + 9*m**2 - 143*m. Factor s(l).
-3*(l - 3)*(l + 8)/4
Let y be (12/27)/(76/456) - (2 - 3). Factor -y*c**2 - 8/3*c + 4/3 - c**3.
-(c + 2)**2*(3*c - 1)/3
Let m(l) be the second derivative of l**7/84 + 9*l**6/20 + 19*l**5/4 + 7*l**4/4 - 767*l**3/12 + 507*l**2/4 - 28*l - 1. Suppose m(k) = 0. Calculate k.
-13, -3, 1
Let l(m) = -4*m**3 - 48*m**2 - 32*m. Let b(v) = -v**2 + 2*v. Let g(t) = -4*b(t) + l(t). Factor g(n).
-4*n*(n + 1)*(n + 10)
Let p = -27 - -45. Suppose 0 = 34*w - 28*w - p. Determine l, given that -4/7*l**w + 0 + 6/7*l**2 + 0*l - 2/7*l**4 = 0.
-3, 0, 1
What is r in 20 - 51*r**3 + 3*r**4 + 293*r**2 + 34 + 51*r - 350*r**2 = 0?
-1, 1, 18
Let g(p) = -p**3 - 9*p**2 + 10*p + 2. Let z be g(-10). Factor -16*o**2 - 10 - 55*o - 17*o**z + 3*o**2 - 15*o**2.
-5*(o + 1)*(9*o + 2)
Determine d, given that -1/3*d**3 + 0*d - 1/3*d**4 + 0 + 2/3*d**2 = 0.
-2, 0, 1
Let l be (-1)/4*-2*(-13 + 11). Let c be (2/(-91))/(l/7). Find h, given that c + 8/13*h + 4/13*h**2 - 6/13*h**4 - 8/13*h**3 = 0.
-1, -1/3, 1
Let u be 4/(-6) - (-220)/60. Factor 9/5*k**u + 6/5*k**2 - 3/5*k + 0.
3*k*(k + 1)*(3*k - 1)/5
Let j be (-9)/(-3*1) - (-187)/(-68). Let y(o) be the second derivative of j*o**2 - 2*o - 1/12*o**4 + 1/60*o**6 + 0*o**3 + 0 + 0*o**5. Factor y(u).
(u - 1)**2*(u + 1)**2/2
Let d(w) = w**3 + 32*w**2 - 79*w - 2528. Let x be d(-32). Factor 3/5*l - l**2 + 1/5*l**3 + 1/5*l**4 + x.
l*(l - 1)**2*(l + 3)/5
Let z(n) be the first derivative of -4*n**4/7 - 656*n**3/21 + 334*n**2/7 - 24*n - 339. Determine f, given that z(f) = 0.
-42, 1/2
Suppose -2*t + 24 + 22 = 0. Let n = t - 21. Let 4*w**2 + 8*w + n*w**3 - 6*w**3 + 0*w**3 = 0. What is w?
-1, 0, 2
Let j(g) be the first derivative of -2*g**4 + 16*g**3/3 - 4*g**2 + 9. Let c(s) = -s**3 + s. Let r(v) = 4*c(v) - j(v). Factor r(f).
4*f*(f - 3)*(f - 1)
Let b(u) = 27*u**2 - 42*u. Let s(n) = -n**2 + 8*n. Let x be s(6). Let y(g) = -11*g**2 + 17*g. Let a(t) = x*y(t) + 5*b(t). Factor a(l).
3*l*(l - 2)
Solve 9*f**3 + 6*f + 12*f**4 + 1593 - 1593 - 27*f**2 = 0.
-2, 0, 1/4, 1
Let y(b) be the third derivative of -b**7/840 + b**6/480 + b**5/120 - 25*b**2 + 1. Find j such that y(j) = 0.
-1, 0, 2
Let s(b) be the first derivative of -b**4/4 + 3*b**2/2 + 16