 + 0*y**2 + 25/2*y**3 - 25/2*y - 5 = 0.
-2, -1, -1/2, 1
Let x(u) be the third derivative of -u**5/210 - 5*u**4/84 - 2*u**3/7 - 55*u**2. Find m such that x(m) = 0.
-3, -2
Let p(j) be the second derivative of 3*j**5/50 - 13*j**4/30 + 4*j**3/15 - 296*j. Find g, given that p(g) = 0.
0, 1/3, 4
Let d(w) be the first derivative of w**5 + 195*w**4/2 + 7205*w**3/3 - 7800*w**2 + 8000*w - 336. Factor d(y).
5*(y - 1)**2*(y + 40)**2
Let g be (10 + (-39)/4)*(0 - -3). Factor g*q**2 + 1/2 - 5/4*q.
(q - 1)*(3*q - 2)/4
Let 11/4*o**2 - 1/4*o**4 - 7 + 6*o - 3/2*o**3 = 0. Calculate o.
-7, -2, 1, 2
Let y(k) be the third derivative of 0 - 1/120*k**6 - 1/9*k**3 + 7*k**2 + 0*k + 1/45*k**5 + 1/72*k**4. Factor y(m).
-(m - 1)**2*(3*m + 2)/3
Suppose 0 = -46*t + 18638 - 18454. Factor 3/8*n**t - 24*n + 12 - 33/8*n**3 + 63/4*n**2.
3*(n - 4)**2*(n - 2)*(n - 1)/8
Let n(g) be the second derivative of -3*g**5/50 - g**4/20 + 9*g**3/5 + 27*g**2/10 - 2*g - 18. Factor n(q).
-3*(q - 3)*(q + 3)*(2*q + 1)/5
Solve 3/2*g**2 + 3/2*g - 9 = 0 for g.
-3, 2
Solve -2/9*n**4 + 10/9*n**3 + 8/9*n + 0 - 16/9*n**2 = 0 for n.
0, 1, 2
Suppose -462*j - 2*i = -459*j + 6, 6 = -2*j - 2*i. Factor -3/4*u**3 + 0 + 1/2*u**2 + j*u + 1/4*u**4.
u**2*(u - 2)*(u - 1)/4
Let a(f) be the second derivative of f**4/4 + 5*f**3/6 - f**2 - 2*f. Let y(c) = -7*c**2 - 11*c + 5. Let j(q) = 10*a(q) + 4*y(q). Factor j(k).
2*k*(k + 3)
Let g(u) be the third derivative of -u**6/900 + u**5/90 - u**4/60 - u**3/5 + 15*u**2 + 14*u. Factor g(p).
-2*(p - 3)**2*(p + 1)/15
Let p(l) be the second derivative of -3*l**5/80 + l**4/2 - 2*l**3 + 59*l. Solve p(r) = 0 for r.
0, 4
Suppose 41*s = -618*s + 1977. Factor 0*q + 8/3*q**2 + 0 + 4/3*q**4 - 4*q**s.
4*q**2*(q - 2)*(q - 1)/3
Let z be 3 + -12*3/16*(-48)/18. Determine m, given that 9/2*m**3 + z + 69/2*m + 24*m**2 = 0.
-3, -2, -1/3
Let a(v) be the first derivative of 39 + 6/5*v**2 + 2/15*v**3 + 0*v. Factor a(t).
2*t*(t + 6)/5
Suppose -3*g - 2 = -17. Factor j**g - 2*j**3 - 8*j**2 - j**2 + 1 + j**4 + j + 0 + 7*j**2.
(j - 1)**2*(j + 1)**3
Let i(k) be the first derivative of 31 - 3*k**2 + 0*k + 1/2*k**3. Factor i(n).
3*n*(n - 4)/2
Suppose 3*g + 3*i + 1 + 2 = 0, 5*g + 4*i = 0. Determine d so that 0*d**2 - 8*d**2 - d + g + 9*d**2 - 3*d = 0.
2
Let y(m) = -3*m**2 + 2*m + 3*m**2 - m**2 - 4 - 10*m. Let x be y(-7). Factor -2*v + 2*v - x*v**2 + 3*v.
-3*v*(v - 1)
Let c(t) = -t**2 + t - 6. Let m(o) = 3*o**2 - o + 13. Suppose -8*i + 6 = -10. Let b(p) = i*m(p) + 5*c(p). What is q in b(q) = 0?
-4, 1
What is c in c**3 - 4*c + 1/4*c**2 - 1/4*c**4 + 3 = 0?
-2, 1, 2, 3
Let h = 82 - 25. Suppose -51*n + h*n = 18. Factor 4/5*a**2 + 0*a + 0 - 2/5*a**n.
-2*a**2*(a - 2)/5
Suppose 0 = 2*w + i - 2 - 0, w + 5*i = -17. Let a be ((-2)/3)/((-20)/18*w). Solve 0*b - 2/5*b**3 + 0 - a*b**2 + 3/5*b**4 = 0.
-1/3, 0, 1
Let h = 51 - 49. Let j be h - 9/(135/25). Let 1/3 + j*g**2 - 2/3*g = 0. Calculate g.
1
Let i = -184989/11 - -16821. Solve -686/11 - i*b**2 - 294/11*b - 2/11*b**3 = 0 for b.
-7
Let w = -4102 - -28732/7. Factor -w*b**2 - 6/7*b**3 - 30/7 + 54/7*b.
-6*(b - 1)**2*(b + 5)/7
Let r = 33 - 31. Factor -2*g**3 + 2 + 0 - g - 5*g - r*g**2 + 8*g**2.
-2*(g - 1)**3
Factor -2437 + 0*u**2 + 50*u**2 + 2147 - 1295*u - 5*u**2.
5*(u - 29)*(9*u + 2)
Let t(k) = -7*k - 12. Let c be t(-2). Let s(j) be the third derivative of c*j**2 + 0*j + 3/4*j**4 + 0 + 1/20*j**5 + 9/2*j**3. Factor s(h).
3*(h + 3)**2
Let l(h) = -h**4 + h + 1. Suppose o - v = 6*o + 26, 2*o + 3*v = 0. Let u(x) = 7*x**4 - x**3 - 2*x**2 - 6*x - 6. Let n(z) = o*l(z) - u(z). Solve n(t) = 0 for t.
-1, 0, 2
Let w(d) be the second derivative of -15/2*d**3 - 1/6*d**6 + 0*d**2 - 25/4*d**4 - 7/4*d**5 + 0 + d. Determine b so that w(b) = 0.
-3, -1, 0
Let d be -4 - 21/(-72)*14. Let w(l) be the first derivative of -3/8*l**4 - d*l**6 + 1/6*l**3 + 7 + 0*l**2 + 0*l + 3/10*l**5. Determine f so that w(f) = 0.
0, 1
Let a(q) be the second derivative of 1/60*q**5 + 7/18*q**3 - 5/36*q**4 + 18*q - 1/2*q**2 + 0. Factor a(f).
(f - 3)*(f - 1)**2/3
Let o(d) be the first derivative of -32/5*d + 8/5*d**2 - 2/15*d**3 + 44. Find k such that o(k) = 0.
4
Let k be (20 - 4) + -1 + 1. Let p = 76 + -74. Solve -8 + k*j**3 + 2*j**4 + 2*j**p - 6*j**3 - 4*j**2 - 2*j**5 - 16*j = 0 for j.
-1, 2
Let q(r) = 2*r**3 + r. Let m be q(2). Let z = -16 + m. Factor -4*f**2 + 4 + 4*f**2 + 12*f + 14 + 2*f**z.
2*(f + 3)**2
Let o(t) = 3*t + 4. Let a be o(-2). Let u be (40/12 + a)/((-2)/(-3)). Solve -8/5*q - 2*q**3 + 0 - 2/5*q**4 - 16/5*q**u = 0.
-2, -1, 0
Let p(t) be the first derivative of -75*t**4/4 + 20*t**3 - 6*t**2 + 162. Let p(l) = 0. Calculate l.
0, 2/5
Suppose -3*r + 18 = -3*f, 20*f = 5*r + 18*f - 24. What is c in -1/2*c**r + 1/2*c**2 + 0 + c - c**3 = 0?
-2, -1, 0, 1
Let x = 33905/34 - 997. Let p = 37/68 + x. Suppose -p - 1/4*o**3 + 1/4*o + 3/4*o**2 = 0. What is o?
-1, 1, 3
Let l(x) = -3*x - 7. Let i be ((-5)/10)/((-7)/(-42)). Let b be l(i). Factor 0 - r + 1/2*r**3 + 1/2*r**b.
r*(r - 1)*(r + 2)/2
Let c(m) be the second derivative of -5/6*m**3 + 0 - 1/300*m**5 + 9*m + 1/12*m**4 + 2*m**2. Let y(z) be the first derivative of c(z). Factor y(l).
-(l - 5)**2/5
Let o(u) be the second derivative of -u**6/10 - 9*u**5/20 + 19*u**4/2 - 12*u**3 - 96*u**2 + 2*u + 708. Find a, given that o(a) = 0.
-8, -1, 2, 4
Factor -81/5 - 1/5*p**2 - 18/5*p.
-(p + 9)**2/5
Let o(q) be the first derivative of 2*q**5/5 + 39*q**4/2 + 308*q**3 + 980*q**2 - 16464*q + 317. Factor o(p).
2*(p - 3)*(p + 14)**3
Let q(b) be the first derivative of b**7/126 - b**6/90 - b**5/60 + b**4/36 - 28*b + 9. Let c(l) be the first derivative of q(l). Determine s so that c(s) = 0.
-1, 0, 1
Let u(b) be the third derivative of b**5/240 - b**4/12 + 2*b**3/3 - 4*b**2 - b. Factor u(z).
(z - 4)**2/4
Solve 36*h**2 + 14 - 108*h + 84 - 2 - 3*h**3 = 0.
2, 8
Factor -291*u**3 + 288*u**3 - 7*u**2 - 36 - 48*u - 6*u**2 - 8*u**2.
-3*(u + 2)**2*(u + 3)
Find g such that -29*g**2 - 2 + 56*g**2 - 25*g**2 + g - g**3 = 0.
-1, 1, 2
Suppose 7*j = 5*z + 2*j - 35, 5*j + 27 = z. Suppose -s + 3*r + 8 = 0, 14 = 5*s + r - 3*r. Factor s*d + d + 2*d**2 - d**z + 5 - 3.
(d + 1)*(d + 2)
Factor 84*o + 168*o**3 - 182*o**3 + 44 - 102*o**2 - 12.
-2*(o - 1)*(o + 8)*(7*o + 2)
Solve -115/6*r - 5 - 35/6*r**2 = 0.
-3, -2/7
Let w = 755/3411 + 1/1137. Let -4/9*v**2 + w*v**3 + 0 + 0*v = 0. Calculate v.
0, 2
Suppose 5*b = -2*g - 17 + 5, 3*b + 6 = -g. Find y, given that b*y + 1/4*y**2 + 0 - 7/8*y**3 = 0.
0, 2/7
Let l(u) be the third derivative of 0*u - 1/12*u**4 + 1/60*u**6 + 0*u**3 + 0 - 13/210*u**7 + 13/60*u**5 + 13*u**2. Factor l(n).
-n*(n - 1)*(n + 1)*(13*n - 2)
Let y(b) be the third derivative of b**6/90 + b**5/5 + 3*b**4/2 - b**3/3 - 3*b**2. Let l(p) be the first derivative of y(p). Factor l(t).
4*(t + 3)**2
Let h = 5009 + -5005. Factor -n + 11/4*n**3 - 2*n**2 + 0 - 3/4*n**h.
-n*(n - 2)**2*(3*n + 1)/4
Determine w so that 2/5*w**5 + 116/5*w**3 + 176/5*w**2 - 64/5*w - 256/5 + 26/5*w**4 = 0.
-4, -2, 1
Let z be (-13)/117 + (-110)/(-18). Factor -15/4*u**3 + 39/4*u**2 + z + 39/2*u.
-3*(u - 4)*(u + 1)*(5*u + 2)/4
Let v(b) be the first derivative of -b**6/3 + 2*b**5 - 21*b**4/8 - 10*b**3/3 + 25*b**2/4 + 227. Let v(k) = 0. What is k?
-1, 0, 1, 5/2
Suppose -4*r + 0*r + 5*m + 18 = 0, 3*r + 3*m = 0. Let a = r - 0. Suppose -1/2*z**a + z + 0 = 0. What is z?
0, 2
Let w(y) be the first derivative of 0*y - 1/2*y**6 + 29 - 3/5*y**5 + y**3 + 9/4*y**4 - 3*y**2. Solve w(o) = 0 for o.
-2, -1, 0, 1
What is y in 45/8*y + 0 + 3/8*y**2 = 0?
-15, 0
Let f(o) = -92*o + 644. Let j be f(7). Let t(i) be the third derivative of 1/56*i**4 - 1/140*i**5 + j*i**3 + 0 + 0*i + 3*i**2. Factor t(l).
-3*l*(l - 1)/7
Let h(j) be the third derivative of -j**6/480 + 29*j**5/240 - 65*j**4/32 - 75*j**3/8 + 41*j**2. Let h(f) = 0. Calculate f.
-1, 15
Let s = 5509/18 - 306. Let p(w) be the second derivative of 0*w**2 - 3*w - 2/9*w**3 - s*w**4 + 0. Find x, given that p(x) = 0.
-2, 0
Let g(r) be the third derivative of r**7/126 + r**6/72 - r**5/36 - 5*r**4/72 - 22*r**2. Let g(q) = 0. Calculate q.
-1, 0, 1
Suppose -27/2 + 9/2*h + 11/6*h**4 - 1/6*h**5 + 9*h**2 - 7*h**3 = 0. What is h?
-1, 3
Let a(v) be the first derivative of -4*v + 8 + 3/2*v**4 - 3*v**2 + 2/5*v**5 + 2/3*v**3. Let a(q) = 0. Calculate q.
-2, -1, 1
Suppose -4*l = -2*x - 18, -x - 2*l = -0*l - 11. Suppose x 