 = 7*s**2 + 25*s + 13. Let d(t) = -3*t**2 - 12*t - 7. Let u(y) = -2*c(y) - 5*d(y). Factor u(x).
(x + 1)*(x + 9)
Let o(k) be the second derivative of -k**9/105840 - k**8/11760 - k**7/5880 - k**4/6 - 12*k. Let d(q) be the third derivative of o(q). What is m in d(m) = 0?
-3, -1, 0
Let w be 0/(-1) + (8/10)/((-770)/(-275)). Determine r, given that -4/7 + 8/7*r**2 - w*r**3 + 1/7*r - 4/7*r**4 + 1/7*r**5 = 0.
-1, 1, 4
Suppose -19/3*n - 11/3*n**2 + n**3 - 5/3 = 0. What is n?
-1, -1/3, 5
Suppose 2*l + 3*d - 21 = -3*l, 0 = -5*l - 4*d + 23. Solve -8*k + 28*k**4 + 6*k**l - 47*k**4 + 23*k**4 - 8*k**2 - 2*k**5 = 0.
-1, 0, 2
Suppose 9/5*j**2 + 2/5*j**4 + 19/5*j**3 + 0*j + 0 = 0. What is j?
-9, -1/2, 0
Suppose 0 = 5*r - 108 + 278. Let f = -30 - r. Factor 9*y - 64 - f*y**2 + 9*y + 7*y + 7*y.
-4*(y - 4)**2
Let r be 273/105 - ((-4)/10 - 0). Let v(d) be the second derivative of -4/25*d**5 + 2/15*d**4 - 1/30*d**r - 10*d + 0 + 0*d**2. Factor v(a).
-a*(4*a - 1)**2/5
Let x = 642 - 16048/25. Let m(f) be the first derivative of 5 - 12/5*f**2 + 8/5*f + x*f**5 - 3/5*f**4 + 26/15*f**3. Find n such that m(n) = 0.
1, 2
Let m(x) = 2*x**2 + 2*x + 2. Suppose 4*l = 2*v + 20, -6*l + 2*l - 3*v = 0. Let g(s) = 2*s**2 + 3*s + 3. Let t(b) = l*m(b) - 2*g(b). Factor t(n).
2*n**2
Let z = -196 + 195. Let r(t) = t - 1. Let u(s) = -5*s + 2 + 2 + s**4 + s. Let i(v) = z*u(v) - 4*r(v). Factor i(o).
-o**4
Let v(t) be the first derivative of -4*t**2 + 59*t + 47. Let d be v(7). Solve -3/2*i**d - 3/2*i**2 + 0*i + 0 = 0 for i.
-1, 0
Let l be (-3)/24*-6*(-16 + 292). Let p = l - 409/2. Solve -10*x - p*x**2 + 15/2 + 5*x**3 = 0.
-3/2, 1
Suppose -5*v = -6*v + 5. Factor -v - 8*m**2 - 21*m + 69*m - 16*m**2 + 4*m**3 - 27.
4*(m - 2)**3
Let t(w) = 8*w - 24. Let j be t(3). Let p(s) be the third derivative of 1/36*s**4 + j*s + 0*s**3 - 1/270*s**5 - 5*s**2 + 0. Factor p(u).
-2*u*(u - 3)/9
Let t(p) be the first derivative of 1/6*p**4 - 2/9*p**3 - 15 - 1/3*p**2 + 2/3*p. Find k such that t(k) = 0.
-1, 1
Let m(w) be the third derivative of 0*w + 0 + 0*w**3 - 1/210*w**7 + 1/60*w**6 + 1/60*w**5 - 1/12*w**4 - 23*w**2. Factor m(b).
-b*(b - 2)*(b - 1)*(b + 1)
Let y(r) = 5*r**4 - 16*r**3 + 31*r**2 + 12*r - 52. Let c(n) = n**4 - 2*n**2 + 2*n. Let l(t) = -4*c(t) + y(t). Suppose l(a) = 0. Calculate a.
-1, 2, 13
Let s(j) = 6*j + 26. Let t be s(-4). Suppose d - 3 = 1. Suppose 3*v**d + t*v + 15*v**3 + 1 + 10*v + 24*v**2 - 1 = 0. What is v?
-2, -1, 0
Let b be ((-33)/12)/(((-440)/64)/(-11)) - -5. What is q in b*q + 0 + 24/5*q**2 + 48/5*q**3 = 0?
-1/4, 0
Let m(u) be the second derivative of -3*u**5/50 + 7*u**4/30 - u**3/3 + u**2/5 + 12*u + 3. Factor m(o).
-2*(o - 1)**2*(3*o - 1)/5
Let f(v) be the second derivative of 0*v**4 - 1/130*v**5 - 12*v + 0*v**3 + 0 + 2/273*v**7 + 1/195*v**6 + 0*v**2. Solve f(m) = 0.
-1, 0, 1/2
Factor 2*u + 36/7 - 22/7*u**2.
-2*(u + 1)*(11*u - 18)/7
Let d(j) be the second derivative of -5*j**7/42 + 11*j**5/4 - 15*j**4/2 + 20*j**3/3 - 7*j + 8. Solve d(o) = 0 for o.
-4, 0, 1, 2
Let o = -32613 + 32615. Factor -1/3 + 5/2*b + 11/6*b**3 - 4*b**o.
(b - 1)**2*(11*b - 2)/6
Let q be (7/(-105))/((-3)/4)*20. Let a(u) be the first derivative of -q*u**3 - 7 - 10/3*u**2 - 8/3*u - 1/3*u**4. Factor a(b).
-4*(b + 1)**2*(b + 2)/3
Let b(a) be the third derivative of a**3 - 1/60*a**5 + 1/24*a**4 + 37*a**2 + 0*a + 0. Factor b(i).
-(i - 3)*(i + 2)
Let a(d) be the first derivative of d**5/25 + d**4/20 - 4. Solve a(x) = 0.
-1, 0
Let s(n) = 7*n + 11. Let h(p) = -8*p - 11. Let t(i) = -5*h(i) - 6*s(i). Let f be t(-6). Let -w + 1/2*w**3 + 3/4*w**2 - f - 1/4*w**4 = 0. What is w?
-1, 2
Let t be (-8)/6 + (-18)/27 + 68/11. Factor 54/11*n**2 + 4/11 + 14/11*n**4 + 26/11*n + t*n**3.
2*(n + 1)**3*(7*n + 2)/11
What is b in 48*b**3 + 10*b**2 + 4*b**5 - 15*b**2 + 8*b + 26*b**4 + 39*b**2 = 0?
-4, -1, -1/2, 0
Let a(c) be the second derivative of c**7/252 + 7*c**6/180 + 11*c**5/120 + 5*c**4/72 + 218*c. Factor a(i).
i**2*(i + 1)**2*(i + 5)/6
Let q(n) be the third derivative of -1/6*n**4 + 0*n**3 + 1/30*n**5 + 0 - 8*n**2 + 0*n. Factor q(t).
2*t*(t - 2)
Solve -30*f**4 - 174*f**3 - 108*f**2 + 7080*f - 7083*f + 48*f**3 + 9*f**5 + 18 = 0.
-1, 1/3, 6
Let w(h) = -h**2 - 4*h - 4. Let c be w(-5). Let i be c + 8 + 34/10. Factor 12/5*d**2 + 18/5*d**3 + 3/5*d**5 + i*d**4 + 3/5*d + 0.
3*d*(d + 1)**4/5
Let g(w) be the first derivative of -2*w**3/27 - 4*w**2/3 - 64*w/9 - 211. Suppose g(n) = 0. Calculate n.
-8, -4
Let l(v) be the third derivative of 2*v**7/105 + v**6/10 - v**5/5 - 11*v**4/6 - 4*v**3 - 6*v**2 + 7*v. Factor l(y).
4*(y - 2)*(y + 1)**2*(y + 3)
Let j(b) be the second derivative of 11*b**4/3 - 9*b**3 + 13*b**2 - 23*b. Let z(m) = -5*m**2 + 6*m - 3. Let a(g) = -6*j(g) - 52*z(g). Factor a(y).
-4*y*(y - 3)
Let f(v) be the second derivative of -v**7/42 + v**5/10 - v**3/6 - 6*v + 2. Find c such that f(c) = 0.
-1, 0, 1
Let i be 2/(-5) - (-2730)/3575. Factor 2/11*o**2 - 6/11*o + i.
2*(o - 2)*(o - 1)/11
Let -222/5*g + 112/5 + 2/5*g**3 + 108/5*g**2 = 0. Calculate g.
-56, 1
Let g = 11 + -6. Let c(f) be the third derivative of 1/30*f**4 - 1/525*f**7 + 0*f**g + 1/15*f**3 - 3*f**2 + 0 + 0*f - 1/150*f**6. Factor c(q).
-2*(q - 1)*(q + 1)**3/5
Factor 10*k**5 + 4*k**5 + 10*k**4 + 14*k**2 - 14*k**5 + 11*k**3 + 4*k + 2*k**5 + 7*k**3.
2*k*(k + 1)**3*(k + 2)
Factor 75*q**2 + 625/2 + 1/2*q**4 + 250*q + 10*q**3.
(q + 5)**4/2
Let -i**5 - 28 - 80*i - 271*i**4 + 88*i**3 + 315*i**4 - 16*i**2 - 7*i**5 = 0. Calculate i.
-1, -1/2, 1, 7
Suppose 190 = 4*v + 2*g, 5*v - g - 218 = 30. Factor 2*k**4 + v*k**5 - 20*k**4 - 4*k**2 - 3*k**4 - 24*k**3.
k**2*(k - 1)*(7*k + 2)**2
Let v(y) be the first derivative of -10*y**3/9 - y**2 + 4*y/3 + 144. Factor v(x).
-2*(x + 1)*(5*x - 2)/3
Let q be 22/10 + 38/(-190). Let y(k) be the first derivative of -3/2*k**4 + 3*k**2 + 2 - q*k - 2/3*k**3 + 4/5*k**5. Let y(t) = 0. Calculate t.
-1, 1/2, 1
Let t = -7634/3 + 15271/6. Determine u, given that 0*u + 0*u**2 + 0 - 1/4*u**4 + 1/4*u**5 - t*u**3 = 0.
-1, 0, 2
Let g be ((-100)/(-375))/((-11962)/(-11950) + -1). Let f = -262 + g. Determine j so that 0*j**2 - f*j**5 - 2/9*j**3 + 16/9*j**4 + 0 + 0*j = 0.
0, 1/4
Let r(n) be the first derivative of -n**6/270 - n**5/90 + n**4/9 - 5*n**3/3 - 2. Let c(h) be the third derivative of r(h). Factor c(k).
-4*(k - 1)*(k + 2)/3
Let l(a) = -12*a**3 - 69*a**2 - 90*a - 11. Let o(r) = -7*r**3 - 34*r**2 - 45*r - 6. Let u(i) = 6*l(i) - 11*o(i). Find d, given that u(d) = 0.
-1, 0, 9
Let u be (-1)/(-8)*3 - 208/(-128). Let c(b) be the first derivative of 5/32*b**4 - 1/12*b**3 - 1/10*b**5 + 0*b**2 + 0*b - u + 1/48*b**6. Factor c(y).
y**2*(y - 2)*(y - 1)**2/8
Find m such that -26*m**2 - 11*m**2 + 42*m**2 - 43*m**2 + 18*m + 22*m**3 - 2*m**4 = 0.
0, 1, 9
Factor -1/5*t**4 + 9/5 - 6/5*t - 8/5*t**2 + 6/5*t**3.
-(t - 3)**2*(t - 1)*(t + 1)/5
Let a be (24/(-24))/(1/(-5)). What is n in 5*n**3 + 14*n**5 - a*n**5 - 14*n**5 = 0?
-1, 0, 1
Let o(t) = 2*t + 42. Let c be o(-18). Let r(i) be the third derivative of 3*i**2 + 0*i + 0*i**3 - 1/12*i**4 + 0 - 1/240*i**c + 1/30*i**5. Factor r(z).
-z*(z - 2)**2/2
Let u be (-264)/880 - 132/(-40). Suppose 2/3*a**u + 0*a + 1/4*a**4 + 0 - 1/4*a**2 = 0. What is a?
-3, 0, 1/3
Let f = -168 + 171. Let p(i) be the third derivative of 0 + 0*i**4 + 1/60*i**5 + 0*i**3 + f*i**2 + 0*i. Factor p(w).
w**2
Let n be (-33)/159 + 4/20. Let f = n + 161/265. Solve -2/5*h + 0 - f*h**2 = 0 for h.
-2/3, 0
Suppose 2*u - 95 = -3*s + 4*s, 0 = 5*s + 25. Suppose 29 = -8*y + u. Suppose 2/11*v**y - 4/11*v + 0 = 0. What is v?
0, 2
Let h(r) be the first derivative of -4/3*r + 4/3*r**2 - 2/3*r**4 + 0*r**3 + 4/15*r**5 - 5. Suppose h(g) = 0. Calculate g.
-1, 1
Let j(c) be the first derivative of c**6/21 - 66*c**5/35 + 208*c**4/7 - 4864*c**3/21 + 6144*c**2/7 - 8192*c/7 - 263. Let j(r) = 0. What is r?
1, 8
Let s(f) be the first derivative of 1/15*f**6 - 3 + 0*f**2 - 3/10*f**5 - f + 1/3*f**4 + 0*f**3. Let b(m) be the first derivative of s(m). Factor b(u).
2*u**2*(u - 2)*(u - 1)
Let h(c) be the first derivative of 64/45*c**5 - 14/9*c**2 - 25/9*c**4 + 76/27*c**3 + 4/9*c - 8/27*c**6 + 12. Determine q, given that h(q) = 0.
1/2, 1
Solve 1106/3*p**2 - 620/3*p + 88/3 - 49/3*p**3 = 0 for p.
2/7, 22
Let r = 43 - 38. Determine b so that -13*b - 8*b + 103 + 3*b**2 + r + 57*b = 0.
-6
Suppose f = j - 2, 0 = -4*