 - 3/5*y + 0 = 0 for y.
0, 1
Let 3015*n + 70*n**2 - 331*n**2 - 27 - 27*n**3 - 3180*n = 0. What is n?
-9, -1/3
Let y(t) be the third derivative of -t**7/70 + t**6/40 + 9*t**5/20 + 11*t**4/8 + 2*t**3 - 2*t**2 - 8*t. Factor y(q).
-3*(q - 4)*(q + 1)**3
Let p(i) be the third derivative of -1/90*i**6 + 1/9*i**3 + 0*i + 7/72*i**4 - 4*i**2 - 1/36*i**5 - 2. Find x such that p(x) = 0.
-2, -1/4, 1
Let 2*m**3 - 44*m**2 + 10 - 34*m**2 + 90*m**2 - 74 = 0. Calculate m.
-4, 2
Let z(i) = 4*i + 60. Let s be z(-13). Let v(r) be the third derivative of 0*r - 1/4*r**4 - 1/2*r**3 + 0 - s*r**2 - 1/20*r**5. Suppose v(k) = 0. What is k?
-1
Suppose -33 = -p - 5*w, -2*p + p + 29 = 4*w. Let 179*c - 174*c + p + 7 - 20*c**2 - 5*c**3 = 0. Calculate c.
-4, -1, 1
Suppose -4*c + 0 + 8 = j, -c + j = -2. Factor 9*z - 70*z**3 + 64*z**3 - z - c*z**4.
-2*z*(z - 1)*(z + 2)**2
Find s such that -3*s**2 + 15*s - 10 + 1 - 3*s + 0 = 0.
1, 3
Let w(m) be the second derivative of -3*m**5/20 + 9*m**4/4 - 15*m**3/2 - 75*m**2/2 + 20*m - 2. Factor w(n).
-3*(n - 5)**2*(n + 1)
Factor 1/2*q**5 + 2*q**2 - q**4 + 2*q + 0 - 3/2*q**3.
q*(q - 2)**2*(q + 1)**2/2
Let b(i) = i**2 + 2*i. Let w(h) = -2*h**3 + 35*h**2 + 44*h. Let c(m) = -14*b(m) + 2*w(m). Factor c(z).
-4*z*(z - 15)*(z + 1)
Let n(y) be the first derivative of 5*y**3/3 + 65*y**2/2 + 60*y - 210. Determine l, given that n(l) = 0.
-12, -1
Factor -1/10*d**3 + 1/5 - 1/2*d + 2/5*d**2.
-(d - 2)*(d - 1)**2/10
Factor 42*h**2 - 68*h**2 + 32*h**2 - 4*h**3 - 2*h**4.
-2*h**2*(h - 1)*(h + 3)
Let p(n) = 6*n**3 + 4*n**2 - 2*n - 8. Let w(q) = -4*q**3 - 3*q**2 + q + 5. Let f(h) = 5*p(h) + 8*w(h). Factor f(c).
-2*c*(c + 1)**2
Factor -11*g + 48*g**3 - 35*g - 18*g - 10*g**2 + 16*g**4 + 4*g**5 + 12*g**4 - 6*g**2.
4*g*(g - 1)*(g + 2)**2*(g + 4)
Let w(g) be the second derivative of 0*g**2 + 0*g**4 - 1/315*g**7 + 0*g**3 + 7*g - 1/25*g**5 + 0 + 1/45*g**6. Determine l, given that w(l) = 0.
0, 2, 3
Let t(a) be the third derivative of -a**6/240 - a**5/20 + a**4/12 + 2*a**3 + 2*a**2 + 18*a. Factor t(l).
-(l - 2)*(l + 2)*(l + 6)/2
Factor -25 + 40*b - 7 - 10 + 0 + 2*b**2.
2*(b - 1)*(b + 21)
Let s(z) = -4*z + 6. Let b(k) = -8*k + 65. Let d be b(8). Let w be s(d). Factor 2/7*a**w + 2/7 - 4/7*a.
2*(a - 1)**2/7
Let i = -35 - 19. Let d be ((-9)/(i/(-24)))/(-2). Factor 4/7*o**d + 0 - 2/7*o**4 + 0*o - 2/7*o**3.
-2*o**2*(o - 1)*(o + 2)/7
Let y(f) be the second derivative of f**4/12 - 7*f**3/6 + 19*f - 3. Solve y(w) = 0.
0, 7
Suppose 28*i = -39*i + 54*i. Determine g so that 0*g**2 + 1/2*g**5 + 0*g**3 + i + 1/2*g**4 + 0*g = 0.
-1, 0
Let w be (5/(-15))/((-2)/84). Let f(i) = -7 + 2*i**3 - i**3 - 2*i - 4*i**3 + 5*i**2. Let u(v) = -1. Let h(b) = w*u(b) - 2*f(b). Factor h(r).
2*r*(r - 1)*(3*r - 2)
Let j(s) be the second derivative of s**6/840 + s**5/280 - s**4/28 - 7*s**3/6 - s. Let w(i) be the second derivative of j(i). Determine f so that w(f) = 0.
-2, 1
Factor -2/3*r - 4/3*r**2 - 2/3*r**3 + 0.
-2*r*(r + 1)**2/3
Factor 57/7*i + 3/7*i**3 - 33/7*i**2 - 27/7.
3*(i - 9)*(i - 1)**2/7
Let -8/3*n**3 + 4/9*n**2 + 8/3*n - 4/9 = 0. Calculate n.
-1, 1/6, 1
Let w(k) = -3*k**2 + 6*k - 3. Let h(r) = r**3 + 6*r**2 - 10*r + 5. Let y(o) = 3*h(o) + 5*w(o). Determine x so that y(x) = 0.
-1, 0
Let r(o) be the third derivative of o**6/180 + 11*o**5/180 - o**4/12 - 81*o**2 + 2*o. Factor r(x).
x*(x + 6)*(2*x - 1)/3
Let g be (-6)/(-9)*((-36)/(-8) - -3). Let m(d) = -7*d**2 + 4*d - 5. Let a(q) = 3*q**2 - 2*q + 2. Let l(u) = g*a(u) + 2*m(u). Factor l(o).
o*(o - 2)
Factor -1/8*b**3 - 361/8 + 37/8*b**2 - 323/8*b.
-(b - 19)**2*(b + 1)/8
Let m(t) = -225*t + 3828. Let z be m(17). Find j such that -6/7*j**4 + 0 + 2/7*j**z - 4/7*j + 6/7*j**2 + 2/7*j**5 = 0.
-1, 0, 1, 2
Let j(z) be the second derivative of -z**4/12 + 17*z**3/6 - 21*z**2 + 9*z + 35. Factor j(v).
-(v - 14)*(v - 3)
Factor 4/5*z**2 + 96/5 + 20*z.
4*(z + 1)*(z + 24)/5
Let i(z) = -z**2 + 1. Let v(m) = 9*m**2 + 5*m - 8. Let o(n) = 9*n**2 + 6*n - 7. Let l(w) = -3*o(w) + 2*v(w). Let c(h) = -5*i(h) + l(h). Factor c(b).
-4*b*(b + 2)
Let i be (-18)/(-90) - 16/(-120). Determine j so that -1/6*j**2 - i + 1/2*j = 0.
1, 2
Let h be 24/3 - ((2 - -2) + 0). Let w be (1/(-3))/((-4)/(-44)) + h. Let -1/3*l**4 - 1/3*l + 1/3*l**3 + 0 + w*l**2 = 0. What is l?
-1, 0, 1
Let j(i) = i**3 + 98*i**2 + 177*i - 1440. Let s be j(-96). Suppose -1/9*n**3 + s + 4/9*n + 4/9*n**2 - 1/9*n**4 = 0. What is n?
-2, -1, 0, 2
Factor -10*k**2 + 43/2*k - 1/2*k**3 - 11.
-(k - 1)**2*(k + 22)/2
Factor -12*m**3 - 323*m**4 - 2*m**3 - 6*m**3 - 20*m**2 + 318*m**4.
-5*m**2*(m + 2)**2
Let l(g) be the first derivative of 4 + 0*g**3 + 5/24*g**6 + 3/4*g**5 + 0*g**2 + 0*g + 5/8*g**4. Factor l(y).
5*y**3*(y + 1)*(y + 2)/4
Determine r, given that -3*r**3 + 180 + 775 - 1521*r - 3067 - 4479 - 117*r**2 = 0.
-13
Factor s - 1/4*s**3 - 4 + s**2.
-(s - 4)*(s - 2)*(s + 2)/4
Let t = 339 - 2361/7. Factor 0 + 3/7*q**4 - t*q**3 + 12/7*q**2 + 0*q.
3*q**2*(q - 2)**2/7
Let l(a) = a**2 - 26*a + 29. Let q be l(25). Let z be (-2)/7*(-7)/q*0. Factor 1/2*v**3 + z*v + 0 - 1/2*v**5 + 1/2*v**4 - 1/2*v**2.
-v**2*(v - 1)**2*(v + 1)/2
Factor 44/5 - 18/5*a - 2/5*a**2.
-2*(a - 2)*(a + 11)/5
Let o(c) be the first derivative of c**6/21 + 4*c**5/35 + c**4/14 - 84. Factor o(h).
2*h**3*(h + 1)**2/7
Determine y so that 19/4*y**3 - 1/2*y**5 - 17/4*y + 21/2 - 69/4*y**2 + 27/4*y**4 = 0.
-3/2, -1, 1, 14
Suppose 3*p + 5*i - 22 = 6*i, -2*i + 4 = 0. Suppose 32*c + 6*c**5 + p*c**3 - 20*c**4 + 32*c**3 - 18*c**5 + 80*c**2 = 0. Calculate c.
-2, -1, -2/3, 0, 2
Let x be 15/(-10)*(-2)/3. Let t = -24 - -28. Solve 44*u**2 - t - 3 - 36*u**4 + 12*u - x + 2*u**3 - 14*u**3 = 0 for u.
-1, -2/3, 1/3, 1
Let y(c) be the first derivative of c**8/1470 + 13*c**7/2940 + c**6/315 - c**5/35 - 2*c**3/3 - 11. Let n(h) be the third derivative of y(h). Factor n(x).
2*x*(x + 2)**2*(4*x - 3)/7
Let f(g) be the first derivative of -4*g**3/15 + 22*g**2/5 + 48*g/5 - 136. Suppose f(t) = 0. What is t?
-1, 12
Let q be 471/5 - 2/10. Let o be q/18 + (-30)/135. Suppose -2*a - 3*a**2 + o*a**2 - 4*a = 0. What is a?
0, 3
Suppose t + d = 21, 5*d + 0 - 65 = -3*t. Let x be (-43)/(-5) + (-12)/t. Factor x + 2*n**3 - 8 - n**2 - n**4.
-n**2*(n - 1)**2
Let m(x) be the third derivative of -x**6/180 - 2*x**5/45 - 5*x**4/36 - 2*x**3/9 + 11*x**2 - 3. Suppose m(j) = 0. Calculate j.
-2, -1
Let l be (-266)/(-133)*(-2)/(-3). Factor 2/3*c**2 - 2*c + l.
2*(c - 2)*(c - 1)/3
Let a = 57976573 - 244545181457/4218. Let z = 5/222 + a. Factor 2/19*y**2 + 32/19 - z*y.
2*(y - 4)**2/19
Let d = 8250 - 8250. Factor -2/5*r**3 + 0 + d*r - 2/5*r**2.
-2*r**2*(r + 1)/5
Solve 20*o**3 + 40*o + 5*o**4 + 1/2*o**5 + 16 + 40*o**2 = 0.
-2
Factor 33*c**2 - 66*c - c**2 + 28 + 29*c**3 - 23*c**3.
2*(c - 1)*(c + 7)*(3*c - 2)
Let t(z) be the third derivative of z**5/30 - 2*z**4/3 - 20*z**3/3 + 2*z**2 - 169*z. Factor t(u).
2*(u - 10)*(u + 2)
Suppose 0 = 2*o - 25 - 1. Suppose 36 = -4*p + o*p. Suppose -2/11 - 4/11*a**3 + 2/11*a**p + 4/11*a + 0*a**2 = 0. What is a?
-1, 1
Let w(j) be the second derivative of 0 - 3*j - 1/66*j**4 - 4/33*j**3 + 0*j**2. Find x such that w(x) = 0.
-4, 0
Let o(b) be the third derivative of 1/60*b**4 + 0*b + 0*b**5 + 0 + 1/30*b**3 + 15*b**2 - 1/300*b**6 - 1/1050*b**7. Factor o(i).
-(i - 1)*(i + 1)**3/5
Suppose 0 + 5/2*z**4 + 180*z - 195/2*z**2 + 5*z**3 = 0. Calculate z.
-8, 0, 3
Let b(c) = c**3 + c + 3. Let n(k) = -k**3 - 10*k**2 + 44*k + 12. Let j(y) = -4*b(y) + n(y). Suppose j(q) = 0. Calculate q.
-4, 0, 2
Let f be 2/(-18)*-3 - (-1)/(-30). Let v(m) be the first derivative of 0*m + f*m**4 - 4/15*m**3 - 1/15*m**6 + 0*m**5 + 0*m**2 - 3. Suppose v(c) = 0. Calculate c.
-2, 0, 1
Factor 40/3 + 8/3*j**2 + 52/3*j - 4/3*j**3.
-4*(j - 5)*(j + 1)*(j + 2)/3
Let t be 48/(-18)*(-6)/4. Factor d**t + 3*d**4 - 8*d**3 - d**2 + 10*d**2 - 5*d**2.
4*d**2*(d - 1)**2
Let z(r) be the second derivative of -r**5/60 + r**4/12 + r**3/3 - 4*r**2/3 + 1030*r. Factor z(l).
-(l - 4)*(l - 1)*(l + 2)/3
Let o(w) be the second derivative of 1/20*w**5 + 0 - 7/12*w**4 - 6*w**2 + 3*w + 8/3*w**3. Factor o(t).
(t - 3)*(t - 2)**2
Factor -32 - 24*v**2 + 102*v**3 + 60*v + 93*v**3 - 199*v**3.
-4*(v - 1)**2*(v + 8)
Let a(n) be the second derivative of n**9/120960 + n**8/13440 + n**7/4032 + n**6/2880 + 2*n**4/3 + n. Let k(l) be the third derivative of a(l). Factor k