. Factor g(q).
-(q + 2)*(4*q - 1)
Let q(m) = -2*m**4 - 9*m**3 + 7*m**2 - m + 5. Let s(t) = t**3 - t**2 + t - 1. Let k(l) = -2*q(l) - 10*s(l). Determine h so that k(h) = 0.
-2, -1, 0, 1
Factor 13*g**3 - 64*g**2 + 256*g - 15*g**3 + 6*g**3.
4*g*(g - 8)**2
Let g(f) be the third derivative of f**8/55440 - f**7/9240 + f**6/3960 - 3*f**5/20 + 6*f**2. Let s(h) be the third derivative of g(h). Factor s(k).
2*(k - 1)*(2*k - 1)/11
Factor -12/5 - 4/5*w + 3/5*w**2 + 1/5*w**3.
(w - 2)*(w + 2)*(w + 3)/5
Let v = -4011/20 - -1004/5. Suppose v*w**2 - w + 3/4 = 0. Calculate w.
1, 3
Let y(m) be the third derivative of -m**2 + 0*m + 1/12*m**5 + 5/4*m**4 + 0*m**3 + 6. Factor y(w).
5*w*(w + 6)
Let q(i) be the third derivative of -i**5/540 - 11*i**4/36 + 68*i**3/27 - 11*i**2 + 34*i. Factor q(b).
-(b - 2)*(b + 68)/9
Let f(q) = -q**2 + 8*q + 72. Let n be f(21). Let b = n - -807/4. Factor b*p - 3/4*p**2 + 0.
-3*p*(p - 1)/4
Let z(w) be the third derivative of w**5/60 - w**4/3 + 7*w**3/6 + 8*w**2. Let a be z(7). Find s, given that -1/3*s**2 + 1/3*s + a = 0.
0, 1
Let b(l) be the second derivative of -10*l**2 + 8*l - 11/3*l**4 + 38/3*l**3 + 0 - 3/5*l**5. Factor b(m).
-4*(m - 1)*(m + 5)*(3*m - 1)
Let s(w) be the first derivative of 5/2*w**2 + 0*w**4 + 0*w - 1/12*w**3 - 5 + 1/120*w**5. Let d(k) be the second derivative of s(k). Let d(r) = 0. What is r?
-1, 1
Let x(y) be the third derivative of 3*y**5/80 - 7*y**4/16 + 49*y**3/24 - 26*y**2. Factor x(t).
(3*t - 7)**2/4
Let t(k) be the first derivative of k**5/5 - 11*k**4/10 + 13*k**3/15 + 14*k**2/5 - 12*k/5 + 3. Solve t(x) = 0 for x.
-1, 2/5, 2, 3
Let m(j) be the first derivative of 10/3*j**3 + 5/2*j**2 + 5/4*j**4 + 0*j - 14. Solve m(z) = 0 for z.
-1, 0
Let o(t) = -10*t**2 + 635*t + 8123. Let k(a) = -4*a**2 + 212*a + 2708. Let u(n) = 11*k(n) - 4*o(n). Factor u(i).
-4*(i + 26)**2
Let x(h) be the third derivative of 1/1008*h**8 - 1/90*h**5 + 0*h**4 + 0*h + 0 - 2/315*h**7 + 0*h**3 + 1/72*h**6 - h**2. Let x(r) = 0. What is r?
0, 1, 2
Let v = -2269 + 9087/4. Factor v*m + 7/4*m**2 + 1.
(m + 1)*(7*m + 4)/4
Let u(q) = q**3 - 6*q**2 - 7*q + 4. Let k be u(7). Suppose -15 = r - k*r. Solve 0*p**5 - 4*p**3 - 10*p**4 - 4*p**3 - r*p**5 + 3*p**3 = 0.
-1, 0
Suppose 3*w + 5*n = 21, 0 = -5*w - n + 23 - 10. Let s = -2 + 6. Find v such that 76/5*v**s + 8*v**5 + 0*v + 44/5*v**3 + 0 + 8/5*v**w = 0.
-1, -1/2, -2/5, 0
Let p(g) be the first derivative of -g**3/12 - 9*g**2/8 + 35*g/2 + 878. Factor p(d).
-(d - 5)*(d + 14)/4
Suppose -4*b = b - 5*v, 3*v - 4 = -b. Let y(r) = -r**2 + r. Let o(l) = -3*l - 5. Let x(a) = b*o(a) - y(a). Factor x(c).
(c - 5)*(c + 1)
Let d(a) = -a**3 + 11*a**2 - a + 15. Let h be d(11). Let j(s) be the second derivative of -2/3*s**3 + 0 + 3*s**2 + 1/18*s**h - s. Factor j(q).
2*(q - 3)**2/3
Let g(u) be the second derivative of -4/9*u**4 + 7/60*u**5 + 0 + 0*u**2 - 10*u + 2/9*u**3. Let g(j) = 0. What is j?
0, 2/7, 2
Let h(b) = -2*b**2 - 5*b + 1. Let c be h(-3). Let p be (-4*(-3)/(-21))/(c/1). Solve -2/7*w**2 - 4/7*w - p = 0.
-1
Let i(r) = 4*r - 53. Let g be i(15). Suppose -5*j = 15, -10*n = -g*n - 4*j - 21. Factor 2/7*p**5 - 22/7*p - 12/7*p**n - 2/7*p**4 + 4*p**2 + 6/7.
2*(p - 1)**4*(p + 3)/7
Let w(n) be the second derivative of -n**6/10 + 51*n**5/20 - 63*n**4/4 - 81*n**3/2 - 589*n. Find a such that w(a) = 0.
-1, 0, 9
Suppose -909 = 124*z - 909. Factor 4/3*k**3 + 2/3*k + z - 3*k**2.
k*(k - 2)*(4*k - 1)/3
Let p(s) be the second derivative of -s**6/6 + 5*s**5/2 - 35*s**4/4 - 100*s**3/3 + 250*s**2 + 15*s + 3. Factor p(x).
-5*(x - 5)**2*(x - 2)*(x + 2)
Let n(g) = g**2 + 11*g + 20. Let x be n(-9). Solve -2*q**2 + 3*q**x + 2*q**4 + q**4 - 4*q**2 = 0.
-1, 0, 1
Let f(g) = -110*g**2 - 1145*g - 2795. Suppose 41 = 2*i + 37. Let d(s) = 5*s**2 + 52*s + 127. Let b(k) = i*f(k) + 45*d(k). Factor b(z).
5*(z + 5)**2
Let y be 12 + -1*(-7 - -1) + -3. Find x such that 0 - 3*x**2 - y + 8*x + 10*x + 0*x = 0.
1, 5
Let p(x) be the third derivative of x**5/180 - 11*x**4/72 + x**3 - 164*x**2. Determine j so that p(j) = 0.
2, 9
Let k(o) be the third derivative of 5/36*o**4 - 2/45*o**5 + 1/180*o**6 - 17*o**2 + 0*o - 2/9*o**3 + 0. Determine n so that k(n) = 0.
1, 2
Factor 8/3*t - 2/3*t**4 - 4/3*t**3 + 2*t**2 - 8/3.
-2*(t - 1)**2*(t + 2)**2/3
Let l(w) be the third derivative of -w**5/510 - 5*w**4/34 - 75*w**3/17 + 207*w**2. Determine i so that l(i) = 0.
-15
Let w be ((-22)/121)/(6/(-11)). Let u(v) be the first derivative of -w*v**2 - 2/9*v - 1/18*v**4 - 2/9*v**3 - 2. Factor u(c).
-2*(c + 1)**3/9
Suppose -4*p = q + 6, 5*p + 0*q + 20 = 5*q. Let v be (-6)/((-7)/14 + 1 + p). Factor -5/2*o**2 + o + 0 + 2*o**3 - 1/2*o**v.
-o*(o - 2)*(o - 1)**2/2
Let i be 4/12 - 2/(-7 + 25). Let x(o) be the first derivative of -2/3*o**2 - 2/3*o - i*o**3 + 1. Factor x(k).
-2*(k + 1)**2/3
Let z(y) = 2*y + 8. Let l = -34 + 30. Let t be z(l). Suppose -8/7*d**2 - 2/7*d**4 + t*d + 8/7*d**3 + 0 = 0. What is d?
0, 2
Suppose -573*g + 2 = -569*g + 2*h, -3*g = 5*h - 5. Factor 2/7*z + 2/7*z**3 + g - 4/7*z**2.
2*z*(z - 1)**2/7
Let w be -6*1/(-3)*4. Suppose w + 1 = 3*l. Factor 0*d**l - 3/2*d + 9/4*d**2 - 3/4*d**4 + 0.
-3*d*(d - 1)**2*(d + 2)/4
Let f(b) be the third derivative of -b**6/24 - 2*b**5/3 - 85*b**4/24 - 25*b**3/3 - 3*b**2 + 13. Solve f(a) = 0.
-5, -2, -1
Let g(p) be the first derivative of -p**4/18 - 2*p**3/3 + 10*p**2/9 - 240. Factor g(a).
-2*a*(a - 1)*(a + 10)/9
Suppose 10*v = 5 + 55. Let z(x) be the first derivative of 0*x - 4/15*x**v + 2/5*x**3 - 1 + 1/2*x**4 - 6/25*x**5 - 1/5*x**2. Suppose z(r) = 0. Calculate r.
-1, 0, 1/4, 1
Let v = 31 + -26. Let x(p) = -2*p**4 - p**3 + p**2 - 8*p - 13. Let z(g) = g**4 + g**3 + 4*g + 7. Let q(i) = v*z(i) + 3*x(i). Factor q(m).
-(m - 2)**2*(m + 1)**2
Let j(l) = 6*l**2 - 97*l - 28. Let k(i) = i**2 + 2. Let d(n) = 2*j(n) + 6*k(n). Determine v, given that d(v) = 0.
-2/9, 11
Let x(w) be the second derivative of 1/72*w**4 - 1/180*w**6 + 0*w**2 + 11*w + 0*w**3 + 0 + 1/252*w**7 - 1/120*w**5. What is b in x(b) = 0?
-1, 0, 1
Let z(g) be the first derivative of g**4/30 + g**3/3 + 6*g**2/5 - 39*g + 12. Let y(b) be the first derivative of z(b). What is a in y(a) = 0?
-3, -2
Factor -37*f**3 - 158*f**2 + 25*f**4 + 404*f**2 - 320*f + 327*f**3 + 303*f**2 + 131*f**2.
5*f*(f + 4)*(f + 8)*(5*f - 2)
Suppose -26/19*d**3 + 120/19*d**2 + 2/19*d**4 - 224/19*d + 128/19 = 0. What is d?
1, 4
Let b be ((-16)/10)/(52/(-130)). Let 3*o**2 - 22 - b*o**2 + 4*o - 12*o + 6 = 0. Calculate o.
-4
Let p(o) be the first derivative of 0*o**2 - 19 + 36*o**5 - 20*o + 215/3*o**3 + 375/4*o**4. Suppose p(z) = 0. Calculate z.
-1, -2/3, 1/4
Let r(h) be the first derivative of 1/660*h**6 + 4 - 2*h**2 + 1/330*h**5 + 0*h**3 + 0*h + 0*h**4. Let l(c) be the second derivative of r(c). Factor l(y).
2*y**2*(y + 1)/11
Let n(f) = -25*f**3 + 55*f**2 - 80*f + 65. Let b(u) = 2*u**3 - 2*u**2 - 2*u + 1. Let j(i) = -15*b(i) - n(i). Suppose j(m) = 0. Calculate m.
-8, 1, 2
Suppose -13*r + 141*r = -1 + 1. Factor r + 4/7*u**3 + 0*u + 1/7*u**4 + 3/7*u**2.
u**2*(u + 1)*(u + 3)/7
Let p(t) be the first derivative of 2*t**3/3 + 9*t**2 - 20*t - 76. Factor p(o).
2*(o - 1)*(o + 10)
Let j be 171/(-693) - -2*3/14. Factor j*v**5 + 0*v**2 + 0 - 4/11*v**3 + 0*v**4 + 2/11*v.
2*v*(v - 1)**2*(v + 1)**2/11
Let f = 9/14 + 85/42. Let z = 37/42 + -3/14. Factor 0 - z*p**2 - f*p.
-2*p*(p + 4)/3
Factor 0 + 6*b**4 + 178/15*b**3 + 86/15*b**2 - 2/15*b.
2*b*(b + 1)**2*(45*b - 1)/15
Let s be (4*3/3)/(2 + 0). Determine q so that -2/5*q**3 - 16/5*q + 2*q**s + 8/5 = 0.
1, 2
Let b(q) = q**2 + 11*q + 10. Let a be b(-10). Suppose -3 + a = -g. Determine y, given that -3*y**3 + 4*y**5 + 2*y**3 + y - 7*y**3 + g*y = 0.
-1, 0, 1
Solve -20*t - 80*t**2 - 44*t**4 + 81*t**5 + 54*t**4 - 75*t**3 - 56*t**5 = 0.
-1, -2/5, 0, 2
Let s(b) = -11*b**3 - 400*b**2 - 4*b - 4. Let r(c) = -24*c**3 - 798*c**2 - 9*c - 9. Let l(h) = 4*r(h) - 9*s(h). Suppose l(w) = 0. What is w?
-136, 0
Let b(h) be the third derivative of -h**6/60 - 47*h**5/30 - 23*h**4/6 - 449*h**2. Find j such that b(j) = 0.
-46, -1, 0
Let x(l) be the second derivative of -74/75*l**6 + 66/25*l**5 - 21*l + 0 + 0*l**2 - 44/15*l**4 + 16/15*l**3 + 2/15*l**7. Let x(r) = 0. Calculate r.
0, 2/7, 1, 2
Suppose 6/17*w**2 - 6/17*w - 2/17*w**3 + 2/17 = 0. What is w?
1
Suppose -2*g - 8 = -4*l, -6 = 5*l - 9*l + 3*g. Let r(