 Factor w(i).
-4*i*(i - 2)**3*(5*i - 1)
What is j in -40/9*j**4 + 0 + 2/9*j**5 + 0*j - 36*j**2 + 26*j**3 = 0?
0, 2, 9
Let g(b) be the third derivative of 5*b**5/18 - 23*b**4/18 - 8*b**3/9 - 6*b**2 - 38. Suppose g(s) = 0. What is s?
-4/25, 2
Let o(z) be the first derivative of -z**5/480 - z**4/64 + 5*z**3/24 + 7*z**2/2 - 30. Let x(s) be the second derivative of o(s). What is w in x(w) = 0?
-5, 2
Let c(g) = 6*g**2 + 57*g + 87. Let x(b) = b**2 - 3*b. Let z(f) = -c(f) + 9*x(f). Factor z(u).
3*(u - 29)*(u + 1)
Let c(m) = -9*m - 120. Let q be c(-13). Let o be (9 - (-21)/(-7)) + q. Determine w, given that 4/5*w**o - 4/5 + 4/5*w**2 - 4/5*w = 0.
-1, 1
Determine f so that 0 + 0*f + 0*f**2 + 72/7*f**3 + 3/7*f**4 = 0.
-24, 0
Factor 23*h - 21 + 13 + h**3 + 5*h - 10*h**2 - 16.
(h - 6)*(h - 2)**2
Factor -3*p - 2*p**2 + 2*p**2 + 4*p**2 + 29*p + 34*p.
4*p*(p + 15)
Find l, given that 5*l + 2*l**2 + 14*l - 31*l - 32 = 0.
-2, 8
Let g(k) = 26*k**3 + 10*k**2 - 36*k. Let s(f) = 5*f**3 + 2*f**2 - 7*f. Suppose -3*t + 4*p = p - 6, -4*p - 23 = t. Let v(y) = t*g(y) + 16*s(y). Factor v(r).
2*r*(r - 1)*(r + 2)
Let t(u) be the second derivative of u**4/48 - 5*u**3/3 + 50*u**2 - 7*u - 1. Factor t(y).
(y - 20)**2/4
Find f such that -11*f**2 - 4*f**5 - 350*f**2 - 6295*f**2 - 274*f**3 + 16384 - 124*f**4 - 1134*f**3 - 6793*f - 1399*f = 0.
-8, 1
Let z(t) = 4*t**4 + 18*t**3 - 42*t**2 + 38*t - 6. Let k(j) = 19 + 126*j**2 - 23*j - 11*j**4 - 9*j**3 - 91*j - 45*j**3. Let w(v) = 6*k(v) + 17*z(v). Factor w(q).
2*(q - 6)*(q - 1)**3
What is g in 924*g**2 + 16*g**3 + 3*g**4 - 7*g**3 - 918*g**2 = 0?
-2, -1, 0
Let y(o) = -o + 16. Let j be y(12). Factor 12*l - 9*l**3 - 6*l**4 - 2*l**4 + 5*l**j.
-3*l*(l - 1)*(l + 2)**2
Let l = 21155/4 + -5288. Factor -3/4 - 3/4*t**3 + 3/4*t**2 + l*t.
-3*(t - 1)**2*(t + 1)/4
Suppose 0 = -3*g + 5*i - 934, -1256 = -0*g + 4*g + 4*i. Let r = -311 - g. Determine m, given that 0*m + 0 - 2/5*m**r = 0.
0
Let m(i) = i + 11. Let n be m(-8). Let o(a) be the second derivative of 1/42*a**4 + 4*a - 1/7*a**n + 0 + 2/7*a**2. Suppose o(b) = 0. What is b?
1, 2
Factor -16 + 1/2*z**3 + 3*z**2 + 0*z.
(z - 2)*(z + 4)**2/2
Let w(n) be the first derivative of 3*n**2 + 2*n - 8 + 2*n**3 + 1/2*n**4. Find r, given that w(r) = 0.
-1
Let h(p) be the first derivative of -5/4*p**2 - 25 + 0*p + 1/6*p**3. Find z such that h(z) = 0.
0, 5
Suppose m = 4*a - 0*a - 11, -2*a = 2*m - 18. Solve 51*h**3 - 40*h**a + 16*h**5 - 18*h**3 - 10*h**2 + h + 0*h**5 = 0 for h.
0, 1/4, 1
Let s be (-12)/(-40) + 0 - 6/(-60). Let a = -1 + 3. Factor 0 - 2/5*l**a + s*l.
-2*l*(l - 1)/5
Let c be 2/9 - (-12 - 1251/(-162)). Let i(s) be the first derivative of -6*s - s**3 - c*s**2 + 10. Find a, given that i(a) = 0.
-2, -1
Suppose 3*n = -n + 24. Suppose 9*t**3 - 6*t**2 + 3*t + 0*t - n*t**3 = 0. Calculate t.
0, 1
Let v(m) be the third derivative of 1/20*m**3 - 12*m**2 - 1/1200*m**6 + 0*m + 1/120*m**5 + 0 - 7/240*m**4. Determine r, given that v(r) = 0.
1, 3
Let i(u) = -3*u**2 + 3*u - 6. Let c(n) = 2*n**2 + 7 - 1 + 7*n - n**2. Let r be c(-7). Let j(k) = -3*k**2 + 3*k - 7. Let b(g) = r*j(g) - 7*i(g). Factor b(s).
3*s*(s - 1)
Let r be (760/(-72) - -12) + 3/(-27). Factor r - 2/3*o - 2/3*o**2.
-2*(o - 1)*(o + 2)/3
Let a(b) = -3*b**4 - 6*b**3 - 6*b**2 + 12*b - 9. Let r(s) = 4*s**4 + 6*s**3 + 7*s**2 - 13*s + 10. Let n(w) = 7*a(w) + 6*r(w). Factor n(o).
3*(o - 1)**3*(o + 1)
Let f(m) be the first derivative of -19 + 3/5*m**3 - 3/5*m + 3/5*m**2. Factor f(z).
3*(z + 1)*(3*z - 1)/5
Let n(l) be the third derivative of -28*l**2 + 1/75*l**5 + 1/30*l**4 - 1/150*l**6 + 0*l - 2/15*l**3 + 0. Factor n(x).
-4*(x - 1)**2*(x + 1)/5
Let y(c) be the third derivative of c**6/72 - c**5/4 + 5*c**4/12 + 140*c**3/9 + 447*c**2. Suppose y(p) = 0. Calculate p.
-2, 4, 7
Let n(o) be the first derivative of -33*o**4/32 - 13*o**3/8 + 15*o**2/4 + 3*o/2 - 521. Let n(t) = 0. Calculate t.
-2, -2/11, 1
Let y(h) be the third derivative of -h**7/315 - 7*h**6/180 - h**5/5 - 5*h**4/9 - 8*h**3/9 + h**2 + 23*h. Factor y(p).
-2*(p + 1)*(p + 2)**3/3
Suppose 9985*a + 52*a**3 - 10025*a - 108*a**2 - 12*a**3 + 12*a**4 = 0. Calculate a.
-5, -1/3, 0, 2
Let b be (6 + -7)*6 - -3. Let f be (-4)/(1 + 7/b) - -1. Factor -1/2*u**3 - 1/4*u**2 + 1/4*u**f + 0 + 1/2*u.
u*(u - 2)*(u - 1)*(u + 1)/4
Let a be 143/66 + 25/(-30). Solve a*x**2 + 0 - 4/3*x = 0 for x.
0, 1
Let t be (0 - 1) + (6 - (-2 - -7)). Suppose -5*m + 8 + 2 = t. Factor 0*d**3 + 0 + 2/9*d**4 + 0*d**m + 0*d - 2/9*d**5.
-2*d**4*(d - 1)/9
Let c be -1 - (0 + -1 - 3). Suppose 1 + c*x - 4*x - 3 + 0*x**2 + x**2 = 0. What is x?
-1, 2
Let a(x) be the first derivative of -x**5/44 - x**4/66 + x**3/22 + 18*x + 11. Let f(b) be the first derivative of a(b). Suppose f(w) = 0. What is w?
-1, 0, 3/5
Suppose 72*s**2 - 4*s**3 + 32*s**2 - 204*s**2 = 0. What is s?
-25, 0
Let -98*i**2 + 0 - 184/5*i**3 - 18/5*i**4 - 20*i = 0. Calculate i.
-5, -2/9, 0
Let z(w) be the first derivative of w**4 - 52*w**3 + 72*w**2 + 304*w + 124. Factor z(k).
4*(k - 38)*(k - 2)*(k + 1)
Suppose -s = 2*a - 11, 3*a + 2*s = -0*a + 18. Factor -3*k**5 + k**2 + 2*k**4 + k**3 + 2*k**3 - 4*k**2 + k**a.
-3*k**2*(k - 1)**2*(k + 1)
Factor 655*a - 31*a - 676*a**2 - 35551 + 35407.
-4*(13*a - 6)**2
Let v(a) be the second derivative of 0*a**2 - a**3 + 0 + 18*a + 7/10*a**5 - 1/5*a**6 + 7/6*a**4. Determine t so that v(t) = 0.
-1, 0, 1/3, 3
Let a(u) = 19*u**2 + 346*u + 28. Let q(v) = 19*v**2 + 333*v + 28. Let l(i) = 5*a(i) - 6*q(i). Factor l(o).
-(o + 14)*(19*o + 2)
Determine p so that -25*p**3 + 10*p**2 + 26*p**4 - 21*p**4 + 10*p**2 = 0.
0, 1, 4
Let 0 + 5/3*t**3 - 1/3*t**5 + 0*t + 2/3*t**4 - 2*t**2 = 0. What is t?
-2, 0, 1, 3
Let j = -175 + 154. Let y(v) = 3*v**3 + 9*v**2 + 7*v + 3. Let f(b) = 30*b**3 + 90*b**2 + 69*b + 30. Let s(u) = j*y(u) + 2*f(u). Factor s(k).
-3*(k + 1)**3
Let s = 2749/360 + 55/72. What is c in 147/5 + s*c + 3/5*c**2 = 0?
-7
Suppose 7 = -3*u - 2*g - 24, -8 = 4*g. Let s(h) = -3*h - 25. Let f be s(u). Factor -1/4*a**3 + 1/4*a**5 + 0 + 0*a**f + 0*a**4 + 0*a.
a**3*(a - 1)*(a + 1)/4
Let w = -15746 + 15748. Let 15 - 85/2*f - 15/2*f**w = 0. What is f?
-6, 1/3
Let q(u) be the second derivative of u**7/840 + u**6/240 - u**5/20 + 7*u**4/6 + 16*u. Let f(y) be the third derivative of q(y). Solve f(o) = 0.
-2, 1
Let p(x) be the second derivative of -x**6/6 + 5*x**5/4 - 5*x**4/3 + 6*x + 2. Let p(r) = 0. What is r?
0, 1, 4
Let q(m) be the second derivative of m**5/50 - 34*m**4/5 + 3468*m**3/5 + 168*m - 1. Factor q(h).
2*h*(h - 102)**2/5
Let k(d) be the third derivative of d**8/504 + 16*d**7/315 + 16*d**6/45 + 53*d**5/45 + 79*d**4/36 + 22*d**3/9 - 2*d**2 + 95. Determine w so that k(w) = 0.
-11, -2, -1
Let s(y) = -10*y + 4*y + 7*y + 11. Let x be s(-6). Factor -4*u**3 + 2*u**x + 16*u + 19*u - 33*u.
2*u*(u - 1)**2*(u + 1)**2
Let i be (3/(-6))/((-4)/32). Factor 0*b + 3*b**3 - 4*b - b**2 - 3*b**2 - i*b**3.
-b*(b + 2)**2
Let w(g) = -g**2 - 9*g. Let b be w(-9). Suppose -u + 5 = 2*f, 0 = -f - b*u - 2*u + 4. Factor 0*m**f - m**2 - 2*m**3 + 6*m**2 - 3*m**2.
-2*m**2*(m - 1)
Let p(r) be the second derivative of -3*r**5/80 - 15*r**4/16 - 27*r**3/4 + 355*r. Factor p(a).
-3*a*(a + 6)*(a + 9)/4
Let b(w) be the third derivative of w**8/8960 + w**7/1120 + w**6/320 + w**5/160 + 7*w**4/24 - 13*w**2. Let g(q) be the second derivative of b(q). Factor g(k).
3*(k + 1)**3/4
Let t(g) be the third derivative of g**6/18 - 37*g**5/36 + 205*g**4/72 - 20*g**3/9 + 36*g**2. Factor t(c).
5*(c - 8)*(c - 1)*(4*c - 1)/3
Suppose 0 = 17*n - 21*n + 8. Factor 8*o**n + 10*o**2 - 2 - 21*o + 5.
3*(o - 1)*(6*o - 1)
Let -2/7*a**4 + 12*a - 50/7*a**2 + 0 - 32/7*a**3 = 0. What is a?
-14, -3, 0, 1
Let g(y) = -5*y**4 - 7*y**3 + 7*y**2 + 15*y + 14. Let t(i) = 6*i**4 + 8*i**3 - 8*i**2 - 16*i - 16. Let s(u) = -5*g(u) - 4*t(u). What is c in s(c) = 0?
-3, -1, 2
Suppose 4*j + 195 = -j - i, -2*j + 5*i - 78 = 0. Let p = j + 197/5. Factor 4/5*b - p - 2/5*b**2.
-2*(b - 1)**2/5
Let k(u) be the first derivative of -u**6/2 + 12*u**5/5 - 3*u**4 - 2*u**3 + 15*u**2/2 - 6*u - 152. Factor k(j).
-3*(j - 2)*(j - 1)**3*(j + 1)
Let o be 43/86*(-2 + 2)/4. Determine v so that 0 - 1/4*v**2 + o*v = 0.
0
Let x be -2 - 24/(-14) - 9549/(-6300). Let k = 1/50 + x. Factor k*l**3 + 0 - 5*l**2 + 0*l.
5*l**2*(l - 4)/4
Let v(q) be the second derivative of q**6/120 + q