t o = -5 - -8. Suppose 2*q = q + o. Factor -6*v**3 + 0*v**q - v**2 + 3*v**3 + 4*v**2.
-3*v**2*(v - 1)
Suppose 49*y - 11*y - 114 = 0. Let n(j) be the first derivative of 0*j**y - j**2 + j**4 + 0*j**5 + 0*j + 8 - 1/3*j**6. Factor n(q).
-2*q*(q - 1)**2*(q + 1)**2
Let r(x) be the first derivative of 5*x**6/9 + 44*x**5/15 + 3*x**4 - 32*x**3/9 - 23*x**2/3 - 4*x + 227. Determine p, given that r(p) = 0.
-3, -1, -2/5, 1
Let l(x) = -8*x**3 - 2*x**2 + 7*x - 4. Let z(f) = 84*f**2 + 5*f - 6*f**3 - 3 + 0*f**3 - 85*f**2. Let b(i) = -5*l(i) + 7*z(i). Determine a so that b(a) = 0.
-1/2, 1
Let m(r) be the first derivative of -42*r**3 - 264*r**2 - 3872*r/7 - 157. Factor m(j).
-2*(21*j + 44)**2/7
Let y be (112/5236)/(2/22). Factor y + 2/17*r**2 + 6/17*r.
2*(r + 1)*(r + 2)/17
Let j(f) be the second derivative of f**7/5040 + f**6/120 + 3*f**5/20 - 2*f**4/3 - 11*f. Let w(r) be the third derivative of j(r). Factor w(u).
(u + 6)**2/2
Let k be 24/36 - (-20)/(-39). Factor 0 + 0*z - k*z**2.
-2*z**2/13
Let r(p) = -p**3 - p**2 + p. Let z be 1/1 - 6/(-2). Let l(q) = -14*q**3 - q**2 + 8*q - 2. Let x(a) = z*l(a) - 36*r(a). Find o such that x(o) = 0.
-2/5, 1
Let i = -4/21 - -29/42. Factor 0*p + i*p**2 + 0 + 1/2*p**3.
p**2*(p + 1)/2
Factor 57/4*t - 1/4*t**4 - 7/4*t**2 - 9 - 13/4*t**3.
-(t - 1)**2*(t + 3)*(t + 12)/4
Let n(d) be the second derivative of d**5/70 + 71*d**4/42 - 145*d**3/21 + 73*d**2/7 + 3*d - 42. Factor n(z).
2*(z - 1)**2*(z + 73)/7
Let a(y) be the second derivative of 0*y**3 + 0*y**2 + 0*y**4 + 0 - 1/98*y**7 + 30*y - 2/35*y**6 + 0*y**5. Find f, given that a(f) = 0.
-4, 0
Let w(u) be the first derivative of -u**5/100 - 3*u**4/40 + 2*u**3/5 + 15*u**2 - 28. Let t(y) be the second derivative of w(y). Factor t(l).
-3*(l - 1)*(l + 4)/5
Suppose 0 = 11*p - 14*p + 660. Factor 125*z**4 - 400*z**3 - 53 + 112 + p*z + 1 - 5*z**2.
5*(z - 3)*(z - 1)*(5*z + 2)**2
Let p be 0/(-12 - -19 - (-18)/(-3)). Factor -2/7*s**3 + p + 0*s + 4/7*s**2.
-2*s**2*(s - 2)/7
Let z = 20 - 16. Factor -15*f**4 + f**3 + 4*f**5 - 2*f**3 + 10*f**z + 2*f**3.
f**3*(f - 1)*(4*f - 1)
Factor -3/4*l - 7/8*l**4 - 3/2*l**3 + 0 + 25/8*l**2.
-l*(l - 1)*(l + 3)*(7*l - 2)/8
Factor 0 - y**4 + 1/2*y + 2*y**3 - 5/3*y**2 + 1/6*y**5.
y*(y - 3)*(y - 1)**3/6
Let i(p) be the first derivative of 3*p**5/25 + 21*p**4/4 + 186*p**3/5 + 534*p**2/5 + 696*p/5 - 430. Factor i(r).
3*(r + 2)**3*(r + 29)/5
Let w be 8/4 + (-4)/(-3 + 1). Find g, given that 8*g**3 - 36*g**w + 24*g**4 + 18*g**5 - 14*g**5 = 0.
0, 1, 2
Suppose 2*n - f - 7 = 0, 0 = -5*n - 2*f + 2 - 7. Let a = -2645/26 + 1329/13. Factor -1/2*o**2 + n - a*o.
-(o - 1)*(o + 2)/2
Let m be -11 - (-13 - -6) - -8. Let h(u) be the first derivative of -4/3*u**3 + 0*u**2 - 2/5*u**5 + 0*u + 3/2*u**m - 2. Factor h(l).
-2*l**2*(l - 2)*(l - 1)
Let f(s) be the first derivative of 17*s**3/18 - 25*s**2/3 - 2*s - 165. Let f(h) = 0. Calculate h.
-2/17, 6
Let z(d) be the third derivative of d**6/540 - 5*d**5/54 + 2*d**4/9 + 46*d**2. Factor z(c).
2*c*(c - 24)*(c - 1)/9
Suppose -2*v - 3*v - 18 = -3*w, 12 = 2*w + v. Let l = -4 + w. Factor -3*p - 2 + 3*p**l + 8 + 12*p.
3*(p + 1)*(p + 2)
Let m(a) be the third derivative of a**9/181440 - a**8/60480 + a**5/60 + 12*a**2. Let q(s) be the third derivative of m(s). Determine i, given that q(i) = 0.
0, 1
Let v = -225 - -235. Let r(k) be the second derivative of -2/3*k**3 + 0 - v*k - 3/5*k**5 - 2/15*k**6 - k**4 + 0*k**2. Factor r(w).
-4*w*(w + 1)**3
Let u be ((-165)/20 - -7)/((-35)/56). Factor -u - 2/3*a**2 - 8/3*a.
-2*(a + 1)*(a + 3)/3
Let f(b) be the second derivative of 3/28*b**5 - 5/14*b**3 - 30*b + 1/14*b**4 - 3/7*b**2 + 0. Solve f(y) = 0.
-1, -2/5, 1
Let a(k) = 2*k**4 + 2*k**2. Let b(g) = 26*g**4 + 4*g**3 + 30*g**2 - 4*g. Let f(r) = -28*a(r) + 2*b(r). Determine z, given that f(z) = 0.
-1, 0, 1, 2
Let g be 2*-2 + (104/12 - 4). Let u(c) be the first derivative of 0*c**2 - 2/5*c**5 - g*c**3 + 0*c - 5 - c**4. Solve u(p) = 0.
-1, 0
Let i(z) be the third derivative of 7*z**2 + 5/6*z**4 + 2/21*z**7 + 1/84*z**8 + 1/3*z**6 + 0 + 2/3*z**3 + 2/3*z**5 + 0*z. Factor i(x).
4*(x + 1)**5
Let m(l) be the first derivative of 2*l**5/5 - l**4 - 26*l**3 - 72*l**2 + 17. Let m(b) = 0. Calculate b.
-3, 0, 8
Let f(n) be the second derivative of n**6/1620 + n**5/540 - n**4/54 - 7*n**3/3 + 12*n. Let b(x) be the second derivative of f(x). Factor b(k).
2*(k - 1)*(k + 2)/9
Let b(o) be the first derivative of -3*o**4/4 + 4*o**3 + 57*o**2/2 + 42*o - 272. Solve b(z) = 0 for z.
-2, -1, 7
Let z(x) be the first derivative of -x**6/27 + 4*x**5/15 - 2*x**4/3 + 20*x**3/27 - x**2/3 + 44. Factor z(f).
-2*f*(f - 3)*(f - 1)**3/9
Suppose -11*b = 116 - 171. Let p(w) be the first derivative of 1/6*w**2 - 2/15*w**b - 2 + 0*w - 1/3*w**4 + 2/9*w**3 + 1/6*w**6. Determine m so that p(m) = 0.
-1, -1/3, 0, 1
Let t(a) be the third derivative of -a**6/150 - 19*a**5/25 - 361*a**4/10 - 13718*a**3/15 - 24*a**2. Factor t(h).
-4*(h + 19)**3/5
Let r be 5/(300/10156) + (-4)/(-3). Let k = r - 170. Suppose 0 + 6/5*b + 9/5*b**2 + k*b**3 = 0. Calculate b.
-2, -1, 0
Let u = -10702 - -10706. Solve 4/3*j - u*j**2 - 16/3*j**3 + 0 = 0.
-1, 0, 1/4
Let y(g) = g**2 - 4 + 4*g - 3*g**2 - g + 8*g**2. Let x be y(1). Factor -1/2*n**x + 1/2*n**4 + 1/2*n**3 + 0 + 0*n - 1/2*n**2.
-n**2*(n - 1)**2*(n + 1)/2
Let a(v) be the second derivative of 7*v + 0 - 1/10*v**3 + 1/20*v**4 + 0*v**2. Find w such that a(w) = 0.
0, 1
Let j be (1/4)/(1/2). Let k be ((-177)/12 + 15)/(1/2). What is a in 1/2*a + k - 1/2*a**2 - j*a**3 = 0?
-1, 1
Let m(q) be the third derivative of -q**5/150 - 11*q**4/30 + 23*q**3/15 - 376*q**2. Factor m(d).
-2*(d - 1)*(d + 23)/5
Suppose -2*d - 4*l = -12, 4*d = 5*l - 2*l + 35. Suppose -c - d = -0*c + 5*q, 5*q + 6 = -2*c. Factor 5*p**3 + p**c + 3*p**3 - 9*p**4 + 5*p**4 - 5*p**2.
-4*p**2*(p - 1)**2
Let z(a) be the first derivative of 2 - 4*a**2 - 12*a + 4/3*a**3. Factor z(h).
4*(h - 3)*(h + 1)
Determine c, given that 8 + 58*c + 26*c + 15*c + 116*c**2 + 25*c = 0.
-1, -2/29
Let s(w) be the first derivative of -2*w**5/65 - 37*w**4/26 - 70*w**3/13 - 103*w**2/13 - 68*w/13 - 197. Factor s(k).
-2*(k + 1)**3*(k + 34)/13
What is j in -208 - 136*j**2 - 134*j**2 - 68*j - 135*j**2 + 401*j**2 = 0?
-13, -4
Let z(b) be the third derivative of -b**5/75 - 22*b**4/3 - 4840*b**3/3 + 106*b**2. Factor z(i).
-4*(i + 110)**2/5
Let d(b) be the second derivative of 13*b**6/3240 - b**5/540 - 13*b**3/6 - 18*b. Let p(a) be the second derivative of d(a). Factor p(y).
y*(13*y - 2)/9
Suppose 6 + 6*j**4 - 22*j - 69*j**3 - 18*j + 23*j**3 - 6 - 136*j**2 = 0. What is j?
-2, -1/3, 0, 10
Let k(w) be the second derivative of -20/3*w**3 + 0 - 50*w**2 - 1/3*w**4 - 2*w. Solve k(q) = 0.
-5
Let -32/9*l + 8/9*l**4 + 4/3*l**2 + 28/9*l**3 - 16/9 = 0. What is l?
-2, -1/2, 1
Let q be 10/(-4)*2*-1. Let h(a) = -a**3 + 5*a**2 + 4*a. Let p be h(q). Factor -4*x + 9 - 2*x**2 + 9 - p.
-2*(x + 1)**2
What is b in -5*b**3 - 6/5*b**4 + 0 - 2*b - 29/5*b**2 = 0?
-5/2, -1, -2/3, 0
Let x(v) be the third derivative of v**5/170 - 2*v**4/51 + 4*v**3/51 - 5*v**2 + 2*v. Solve x(w) = 0.
2/3, 2
Let m(x) be the first derivative of x**3/12 + 51*x**2/8 - 110. Factor m(v).
v*(v + 51)/4
Let k(r) be the first derivative of -2*r**5/5 - r**4 + 2*r**3 - 255. Factor k(d).
-2*d**2*(d - 1)*(d + 3)
Let x(a) = -8*a**3 - 2*a - 2. Let z be x(-1). Determine i so that -z*i + 27*i**4 + i**4 - 14*i**2 + i**3 - 14*i**2 + 7*i**3 = 0.
-1, -2/7, 0, 1
Let c = -1025 + 5149/5. Let y(x) be the first derivative of -c*x**2 - 5/2*x**4 - 8/5*x - 6*x**3 + 6. Solve y(d) = 0.
-1, -2/5
Let n(v) = v**4 + v - 1. Let l(j) = j**5 + 10*j**4 + 13*j**3 - 3*j**2 - 15*j - 3. Suppose -6*a + 2*a + 20 = 0. Let i(s) = a*l(s) - 15*n(s). Factor i(u).
5*u*(u - 1)*(u + 2)*(u + 3)**2
Let l(r) = -10*r**3 + 18*r**2 - 16. Suppose 66*c = 67*c - 5. Let p(s) = 3*s**3 - 6*s**2 + 5. Let m(y) = c*l(y) + 16*p(y). Factor m(k).
-2*k**2*(k + 3)
Let z(b) be the first derivative of -28 + 6*b**2 + 2/3*b**3 - 14*b. Factor z(w).
2*(w - 1)*(w + 7)
Let m(b) = 14*b**4 + 20*b**3 - 18*b**2 - 32*b + 22. Let y(x) = -2*x**4 - x**3 + 2*x**2 - x + 1. Let v(z) = -m(z) - 6*y(z). Factor v(h).
-2*(h - 1)**2*(h + 2)*(h + 7)
Let r(w) be the first derivative of 19/36*w**4 + 1/18*w**2 - 2 - 5/9*w**3 - 7/45*w**5 + 2/9*w. Factor r(n).
-(n - 1)**3*(7*n + 2)/9
Factor 11*v**3 - 110*v 