= 3*o - 12. Let v be j(4). Suppose -13*i + 14*i = v. Factor 0*c + 0*c**2 + 2/11*c**4 - 2/11*c**3 + i.
2*c**3*(c - 1)/11
Let k(c) be the second derivative of -c**5/70 + 11*c**4/42 - 49*c. Factor k(v).
-2*v**2*(v - 11)/7
Let h(l) be the second derivative of l**5/50 - l**4/6 + 2*l**3/5 - 2*l - 21. Find u, given that h(u) = 0.
0, 2, 3
Let x(z) = -8*z**3 - 53*z**2 - 33*z + 10. Let y(p) = p**3 - p**2. Let g(i) = -2*x(i) + 2*y(i). Factor g(v).
2*(v + 1)*(v + 5)*(9*v - 2)
Factor 1/4*u - 1/4*u**3 + 0 + 0*u**2.
-u*(u - 1)*(u + 1)/4
Suppose -2 = -3*m + m. Let u be 0/(m/2*-4). Solve -7/3*d**2 + u*d + d**3 + 4/3 = 0.
-2/3, 1, 2
Suppose -2*j - 2*c + 1 = 5, 0 = j - 5*c - 28. Suppose -j*b = -2*a - 13 - 21, -2*b = -a - 23. Let -6*n**4 + 8*n**2 + 8*n**3 + 2*n**3 - b*n**2 = 0. Calculate n.
0, 2/3, 1
Let g(z) be the first derivative of 11 + 0*z - 5/12*z**4 + 8/9*z**3 + 2/3*z**2. Factor g(v).
-v*(v - 2)*(5*v + 2)/3
Let f(h) be the second derivative of -35/12*h**7 + 3/8*h**5 + 0 + 35/6*h**6 - 5/3*h**3 - 13*h + 0*h**2 - 25/6*h**4. Factor f(v).
-5*v*(v - 1)**2*(7*v + 2)**2/2
Let t(u) = 8*u**4 - 37*u**3 + 102*u**2 - 99*u + 3. Let q(z) = 15*z**4 - 75*z**3 + 205*z**2 - 195*z + 5. Let k(y) = 3*q(y) - 5*t(y). Factor k(l).
5*l*(l - 3)**2*(l - 2)
Let q(x) = 27*x + 353. Let w be q(-13). Let h(t) be the first derivative of -t - w*t**2 - 1/5*t**5 - t**4 + 8 - 2*t**3. Solve h(r) = 0 for r.
-1
Let g be 42/(-49)*14/(-3). Let j(l) be the third derivative of g*l**2 + 0 + 4/21*l**3 + 0*l + 1/210*l**5 + 1/21*l**4. Factor j(c).
2*(c + 2)**2/7
Let v be (-16)/(1 - -3) - -8. Suppose -5*g = s - 16, -28 = -v*s - 3*g + 2. Factor 9*k + s*k**2 + 2*k**2 - 4*k**2 + 20*k**4 - 17*k + 32*k**3.
4*k*(k + 1)**2*(5*k - 2)
Let l(w) be the third derivative of w**7/490 - 9*w**6/280 + 3*w**5/28 - w**4/8 + 98*w**2. Let l(u) = 0. What is u?
0, 1, 7
Let c(t) = -174*t + 7225. Let x(k) = -k**2 - 4*k. Let o(i) = 2*c(i) - 2*x(i). Suppose o(b) = 0. Calculate b.
85
Suppose -302 = -79*h + 488. Let i(g) be the first derivative of 1/20*g**5 - 1/4*g**4 + 5/12*g**3 - h - 1/4*g**2 + 0*g. Solve i(z) = 0.
0, 1, 2
Let y(w) = -38*w - 18. Let a be y(-5). Suppose 0 = -5*n - 162 + a. Factor 2/13*d - 2/13*d**n + 4/13.
-2*(d - 2)*(d + 1)/13
Let j = -36 + 40. Let l(c) = c**3 + 8*c**2 + 73*c - 87. Let v(i) = -4*i**2 - 36*i + 44. Let d(n) = j*l(n) + 9*v(n). Determine w so that d(w) = 0.
-3, 2
Let f(m) be the first derivative of -m**4/78 + 2*m**3/39 - 13*m + 1. Let x(o) be the first derivative of f(o). Determine y so that x(y) = 0.
0, 2
Suppose 0 - 1600/17*p**2 + 960/17*p**3 - 84/17*p**4 + 0*p + 2/17*p**5 = 0. What is p?
0, 2, 20
Suppose 2*r = -4*u - 2, -3*r - 3*u = -4*r - 16. Let t = r - -12. Factor x**4 + x**3 + 3*x**4 + 4*x**5 - 4*x**4 - t*x**4.
x**3*(x - 1)*(4*x - 1)
Factor -39*x**4 + 85*x**3 + 6*x**2 + 81*x**2 - 15*x**2 - 4*x**5 + 103*x**4 + 55*x**3.
-4*x**2*(x - 18)*(x + 1)**2
Factor -f**3 - 24*f + 0*f**3 + 33*f**2 + 58*f.
-f*(f - 34)*(f + 1)
Let c(w) = 63*w**4 + 141*w**3 + 285*w**2 + 135*w + 24. Let o(d) = -13*d**4 - 28*d**3 - 57*d**2 - 27*d - 5. Let y(j) = -5*c(j) - 24*o(j). What is f in y(f) = 0?
-9, -1, 0
Let s(v) be the third derivative of v**5/120 + v**4/16 - 7*v**3/3 - 547*v**2. Factor s(x).
(x - 4)*(x + 7)/2
Let u(z) be the second derivative of 0 + 1/16*z**4 - 1/12*z**3 - 1/120*z**6 + 0*z**2 + 0*z**5 + 5*z. Solve u(m) = 0.
-2, 0, 1
Let p(k) be the second derivative of 0 - 5/16*k**4 + 40*k - 1/8*k**3 + 3/4*k**2 - 3/40*k**5. Find d, given that p(d) = 0.
-2, -1, 1/2
Suppose -26*c + 64*c - 261 + 71 = 0. Factor -64/9*h**3 - 112/9*h**2 - 2*h**4 - 32/3*h - 2/9*h**c - 32/9.
-2*(h + 1)*(h + 2)**4/9
Suppose -z - 5*z + 5*z = 0. Factor v**3 + 10*v**4 - 6*v**4 - 12*v**2 + 7*v**3 + z*v**2.
4*v**2*(v - 1)*(v + 3)
Let p(u) be the third derivative of u**6/6 - 2*u**5/15 - 5*u**4/6 + 4*u**3/3 + 48*u**2. Find s such that p(s) = 0.
-1, 2/5, 1
Suppose -32*i = 27*i - 236. Let h(v) be the first derivative of v**2 + 3*v + i - 1/3*v**3. Factor h(r).
-(r - 3)*(r + 1)
Let o be (4/5)/(2/10). Factor -185*h**4 + 197*h**o - 8*h - 12*h**2 + 4*h**3 + 4*h**5 + 0*h**5.
4*h*(h - 1)*(h + 1)**2*(h + 2)
Let w(z) = z**2 - z. Let u(x) = -2*x + 13. Let q be u(6). Let y(a) = 3*a**5 - 6*a**4 + 8*a**2 - 5*a. Let k(s) = q*y(s) - 2*w(s). Let k(f) = 0. What is f?
-1, 0, 1
Let a(f) = 6*f + 36. Let p be a(-6). Let k(j) be the second derivative of 2/15*j**3 - 1/5*j**2 + 4*j - 1/30*j**4 + p. Solve k(h) = 0.
1
Let r(b) be the second derivative of b**6/10 + 9*b**5/20 - 3*b**4/4 - 11*b**3/2 - 9*b**2 + 8*b + 10. Solve r(l) = 0 for l.
-3, -1, 2
Let c(l) = 11 + 9 - 21 + l**2. Let b(y) = 3*y**2 - 56*y + 197. Let f(s) = b(s) + c(s). Suppose f(t) = 0. Calculate t.
7
Factor -7*x + 1/2*x**3 + 0 + 13/2*x**2.
x*(x - 1)*(x + 14)/2
Let x(t) be the third derivative of -t**6/320 - t**5/40 + 138*t**2. Suppose x(w) = 0. Calculate w.
-4, 0
Find c, given that c**3 + 1/3*c**5 - 5/3*c**4 + 5/3*c**2 - 4/3*c + 0 = 0.
-1, 0, 1, 4
Suppose 1 = -i + r, 3*i - 4*r + 1 - 2 = 0. Let d be (i + 7 + -2)*1. Suppose 2/11*v**3 - 4/11*v**4 + 4/11*v**2 + d*v - 2/11*v**5 + 0 = 0. What is v?
-2, -1, 0, 1
Suppose 2/3*v**3 + 0 - 274/3*v + 272/3*v**2 = 0. Calculate v.
-137, 0, 1
Let j be 78365/3045 + -21 - 4/58. Factor 1/3*f**4 - 8/3*f + 0 + j*f**2 - 7/3*f**3.
f*(f - 4)*(f - 2)*(f - 1)/3
Suppose 18 = 13*q - 10*q. Suppose 7*v = 20 - q. Factor 3/5*z**v - 1/5*z**4 - 2/5 + 1/5*z**3 - 1/5*z.
-(z - 2)*(z - 1)*(z + 1)**2/5
Suppose -5*w - 13 = 4*j, -5*j + 0*j + 25 = -2*w. Suppose 4*f - 8 = 3*c, -3*f - 2*c = f - 8. Solve 15*n**f + j - 10*n - 2 - 3*n**3 - 11*n + 8 = 0 for n.
1, 3
Let w = -5/32 - -29/32. Let j = 5/4 - w. Factor -1/2*r**2 + j*r**3 + 0*r + 0.
r**2*(r - 1)/2
Let k be (7 + 1057/(-210) - 2)/(-1). Let o(z) be the second derivative of 1/100*z**5 + 0 - 1/60*z**4 - k*z**3 + 1/10*z**2 + 5*z. What is p in o(p) = 0?
-1, 1
Let s = 450 - 438. Let d(i) be the third derivative of -2/15*i**3 + s*i**2 + 0 + 1/20*i**4 + 0*i**5 + 0*i - 1/300*i**6. Suppose d(w) = 0. What is w?
-2, 1
Suppose 29*f - 19*f = -1360. Let v be 561/f*(-2)/3. Let 3/4*z**5 + 9/2*z**2 - v*z + 1/2 - 2*z**3 - z**4 = 0. Calculate z.
-2, 1/3, 1
Suppose -y = 3, -8 = -3*l + y + 4. Find r such that -4*r**4 + 11*r**4 - l*r**4 + 9*r**2 + 1 - 6*r + 4*r**2 - 12*r**3 = 0.
1/2, 1
Factor -33 - 15 + 15*a**3 + 18*a - 12*a**2 - 146*a - 3*a**3 + 8*a**3.
4*(a - 3)*(a + 2)*(5*a + 2)
Suppose 5*l - 1065 = -15. Let o be (l/12)/(-7) + 3. Factor -3/2*b**4 + 0*b**2 + 0 - o*b**5 + 0*b - b**3.
-b**3*(b + 1)*(b + 2)/2
Let i(a) be the second derivative of -a**6/450 - a**5/150 - 31*a**3/6 + 40*a. Let o(y) be the second derivative of i(y). Let o(c) = 0. Calculate c.
-1, 0
Suppose 13*w = -8*w - 3*w. Let s(g) be the second derivative of 1/90*g**5 + 1/9*g**2 - g - 1/54*g**4 + w - 1/27*g**3. Factor s(q).
2*(q - 1)**2*(q + 1)/9
Suppose -12 = -5*d - 2*l, -6*d + 8*d = l + 12. Let s(v) be the first derivative of -3/2*v**2 + 3*v**d - 6 - 3*v**3 + 0*v. Let s(g) = 0. What is g?
-1/4, 0, 1
Let o = 96 - 88. Let s be (-6)/3*o/(-4). Let 0*r**2 - s*r**5 - 8/3*r**3 + 0*r + 0 - 20/3*r**4 = 0. Calculate r.
-1, -2/3, 0
Let o be 29 + 2/(-1 - 1). Let -15*t**2 + 74*t - o*t - 13*t**2 - 6*t**3 - 12 = 0. Calculate t.
-6, 1/3, 1
Find c such that -41*c**3 + 1739*c - 4812/7*c**2 - 2738/7 - 4/7*c**4 = 0.
-37, 1/4, 2
Let z(t) be the first derivative of -9/4*t**4 + 0*t**2 - 2*t**3 - 3/5*t**5 + 0*t - 22. Find o such that z(o) = 0.
-2, -1, 0
Let o(r) be the second derivative of r**8/1344 - 11*r**7/504 + 35*r**6/144 - 25*r**5/24 - 2*r**4/3 - 9*r. Let v(j) be the third derivative of o(j). Factor v(t).
5*(t - 5)**2*(t - 1)
Let y(l) = 21*l + 294. Let n be y(-14). What is u in 2/3*u**2 + n + 4/3*u = 0?
-2, 0
Let k be (0 - 4)*(-5 + (-3420)/(-685)). Let j = 528/685 + k. Find o such that j*o**3 + 0 + 2*o**2 + 4/5*o = 0.
-2, -1/2, 0
Let j(o) be the second derivative of -o**6/10 - 3*o**5/10 + 2*o**4 + 43*o. Find h such that j(h) = 0.
-4, 0, 2
Let g be (3/2)/(-6 + 108/16). Factor 8*h - 15*h**2 - 7*h + 14*h**g.
-h*(h - 1)
Let j be (2 + (-220)/66)*-1. Suppose 0*n**2 - 1/9*n**3 - 16/9 + j*n = 0. What is n?
-4, 2
Suppose -3*y - y = -12. Let t be (28/21)/((-2)/(-3)). Find b such that -11*b**2 - b - y + 2*b**t + 3*b**3 + 10*b = 0.
1
Let x be 770/(-21)*(-18)/15*-1. Let q be (-35)/(-36) + (2 - x/(-16)). Find t, given that -2/9*t**3 - q*