*3 - o + 0*o**2 + 2/3.
(o - 1)**2*(o + 2)/3
Suppose -15*w + 16*w = 8. Let q be (-40)/(-16)*w/14. Factor -q*t - 2/7*t**3 + 4/7 + 8/7*t**2.
-2*(t - 2)*(t - 1)**2/7
Suppose -2/7*g + 0 + 3/7*g**3 - 1/7*g**2 - 1/7*g**5 + 1/7*g**4 = 0. What is g?
-1, 0, 1, 2
Factor -107*b**2 + 0 + 3/2*b**3 - 72*b.
b*(b - 72)*(3*b + 2)/2
Let t(n) be the second derivative of -n**4/3 - 158*n**3/3 - 8*n + 31. Solve t(u) = 0.
-79, 0
Suppose -23*w - 8 = -4*t - 21*w, 0 = -t - 4*w + 11. Factor -1/2*m**4 + 0 - 1/4*m**t + 3/4*m**2 + 0*m.
-m**2*(m - 1)*(2*m + 3)/4
Let o = 111/217 + -5/434. Factor -35/2*t - 11/2*t**2 - 25/2 - o*t**3.
-(t + 1)*(t + 5)**2/2
Solve 2/3*w**2 + 0 - 14/3*w = 0 for w.
0, 7
Suppose 5*m - 25 = -r, 26 = 5*r - 2*m - 18. Factor 35*w**3 + 42*w**2 - r + 16*w**2 + 15*w + 2*w**2.
5*(w + 1)**2*(7*w - 2)
Find u such that -101*u + 2*u**2 - 5 - u**2 + 48*u + 49*u = 0.
-1, 5
Let i(z) be the third derivative of 5*z**8/112 + 17*z**7/42 + 3*z**6/8 - 41*z**5/12 + 5*z**4/2 + 12*z**2. Suppose i(j) = 0. What is j?
-4, -3, 0, 1/3, 1
Let l be (-110)/(-60) + 0 + 1/6. Suppose -4 + 2*i**2 - 12*i - 14*i**2 + 9*i**l + 5*i**3 = 0. Calculate i.
-1, -2/5, 2
Let t(d) be the third derivative of 3*d**2 - 4/65*d**5 + 0*d + 3/52*d**4 + 4/195*d**6 + 0 + 0*d**3. Factor t(p).
2*p*(4*p - 3)**2/13
Factor -y**2 - 6*y**2 + 8*y + 3*y**2 + 2241*y**3 - 2245*y**3.
-4*y*(y - 1)*(y + 2)
Let n = 1 + -1. Suppose 0 = 4*u + x - 12, -5*u = -4*x + 6 - n. Let 4*z**2 - 2*z**u + 2*z - 2*z**3 - 2*z**2 = 0. Calculate z.
-1, 0, 1
Suppose 5062*i - 5050*i = 0. Solve 0*q + 0 + i*q**3 - 1/8*q**2 + 1/8*q**4 = 0 for q.
-1, 0, 1
Let b(a) = -a**2 - 4*a + 7. Let f = -4 + 2. Let c(d) = -d**2 - 7*d + 13. Let p be ((-2)/3)/((-28)/210). Let t(q) = f*c(q) + p*b(q). Factor t(g).
-3*(g - 1)*(g + 3)
Let g = 1102 - 1098. Let x(j) be the third derivative of -g*j**2 + 1/315*j**7 + 0*j**3 + 0*j + 0*j**4 + 0 + 1/90*j**6 + 1/90*j**5. Factor x(q).
2*q**2*(q + 1)**2/3
Suppose -3*m + 0*m + 96 = 0. Factor 17 - m*d + 13 + d**2 + 7*d - 6*d**2.
-5*(d - 1)*(d + 6)
Let d(i) = -10*i**3 + 25*i**2 + 35*i. Let o(x) = -5*x**3 + 12*x**2 + 17*x. Let k(y) = -3*d(y) + 5*o(y). Find r such that k(r) = 0.
-1, 0, 4
Let w(l) be the third derivative of 0 + 0*l + 1/24*l**4 + 4*l**2 + 0*l**3 - 1/40*l**5 + 1/240*l**6. Factor w(z).
z*(z - 2)*(z - 1)/2
Factor -3/4*c**2 + 0 + 45/2*c.
-3*c*(c - 30)/4
Let v be 2/(((-6)/(-9))/1). Factor 16*d**4 + 15*d**3 + 23*d**3 + 5*d**v - 11*d**3 - 36*d - 12*d**2.
4*d*(d - 1)*(2*d + 3)**2
Suppose 0 = -11*j - 7 - 15. Let s be (3 - 1) + 0 + (j - -2). Determine l, given that -2/7*l**3 + 0 + 4/7*l - 2/7*l**s = 0.
-2, 0, 1
Let o = -1291 - -1293. Let f(g) be the first derivative of 0*g**2 + 9/4*g**4 - 3/5*g**5 + 4 - o*g**3 + 0*g. Determine b, given that f(b) = 0.
0, 1, 2
Let v(d) be the second derivative of d**7/189 + 7*d**6/15 + 17*d**5 + 325*d**4 + 3375*d**3 + 16875*d**2 - 49*d. Find m such that v(m) = 0.
-15, -3
Suppose -4*t + 21 = n + 4*n, 3*n - 14 = -t. Suppose 35 = n*z + 3*q + 2*q, -2*q = -5*z + 14. Solve -2/7*r**z + 8/7*r + 10/7*r**3 - 16/7*r**2 + 0 = 0 for r.
0, 1, 2
Let p(f) = -2*f**2 - 16*f + 16. Let g(c) = -6*c**3 + c**2 - 2*c - 3. Let b be g(-1). Let j(i) = i**2 + 2*i - 2*i. Let y(a) = b*j(a) + p(a). Factor y(q).
4*(q - 2)**2
Let h be 117/26*4 + -16. Factor 2/5*t + 2/5*t**h - 4/5.
2*(t - 1)*(t + 2)/5
Let c(u) be the second derivative of -u**7/84 + 3*u**6/20 - u**5/5 - 3*u - 40. Suppose c(x) = 0. Calculate x.
0, 1, 8
Let y(j) be the second derivative of -j**4/66 + 8*j**3/33 + 3*j**2 + 21*j - 5. Find o, given that y(o) = 0.
-3, 11
Let m(z) be the third derivative of z**5/35 - 40*z**4/21 - 18*z**3/7 - 70*z**2 + 2*z. Find j, given that m(j) = 0.
-1/3, 27
Factor 11/2*y**3 + 2*y**4 - y + 5/2*y**2 + 0.
y*(y + 1)*(y + 2)*(4*y - 1)/2
Let p(f) = 4*f**3 + 21*f**2 - 59*f + 5. Let q(r) = -3*r**3 - 20*r**2 + 60*r - 4. Let y(v) = -4*p(v) - 5*q(v). Factor y(x).
-x*(x - 8)**2
Let y(z) be the first derivative of 5*z**4/4 + 55*z**3/3 + 25*z**2 + 114. Suppose y(t) = 0. Calculate t.
-10, -1, 0
Let l(d) be the first derivative of -36*d**5/5 - 29*d**4 - 32*d**3 - 8*d**2 - 96. Factor l(j).
-4*j*(j + 1)*(j + 2)*(9*j + 2)
Let a(m) be the first derivative of m**5/240 + m**4/48 + 9*m**2/2 - 12. Let h(g) be the second derivative of a(g). Factor h(r).
r*(r + 2)/4
Factor 22/3*u**3 - 8/3*u**2 - 20/3*u**4 + 0 + 2*u**5 + 0*u.
2*u**2*(u - 1)**2*(3*u - 4)/3
Suppose 9*k + 16 = 13*k. Suppose -40 = -k*n - 16. Solve -4*u**3 - 8*u**3 + 8*u + 4*u + 8*u**4 - n - 4*u**2 + 2 = 0.
-1, 1/2, 1
Let y be 6*(2/15)/(13/65). Solve -2/5*a + 0 - 1/5*a**2 + 1/5*a**y + 3/5*a**3 - 1/5*a**5 = 0 for a.
-1, 0, 1, 2
Let f(p) be the third derivative of -12*p**2 + 0*p**4 - 1/20*p**6 + 1/70*p**7 + 0 - 1/672*p**8 + 0*p**3 + 0*p + 1/15*p**5. Let f(g) = 0. What is g?
0, 2
Suppose -205*y + 200*y + 10 = 0. Let w(p) be the second derivative of 9/7*p**y + 5/7*p**3 + 0 + 1/70*p**5 + 3*p + 1/6*p**4. Factor w(b).
2*(b + 1)*(b + 3)**2/7
Suppose -128*a**2 + 4/5*a**5 + 0 - 86/5*a**4 + 522/5*a**3 + 40*a = 0. What is a?
0, 1/2, 1, 10
Let g(h) = -h**3 - 8*h**2 - 10*h - 10. Let a be g(-6). Let y = a - -45/2. Determine x so that x + y*x**2 + 0 = 0.
-2, 0
Suppose o + 2*o = 8*o. Factor o + 13/6*m**4 + 10/3*m**5 + 1/3*m**3 + 0*m**2 + 0*m.
m**3*(4*m + 1)*(5*m + 2)/6
Let q(l) be the first derivative of 5*l**4/12 - 35*l**3/9 + 25*l**2/3 - 352. Factor q(f).
5*f*(f - 5)*(f - 2)/3
Let v(g) be the second derivative of 14*g + 5/3*g**2 + 2/3*g**3 + 1/18*g**4 + 0. Factor v(s).
2*(s + 1)*(s + 5)/3
Let k be (-1)/(-3) - (-128)/12. Suppose -12 = 4*u, -k = 2*z + u + 4*u. Let 0 - 4*d**3 + 2*d + 13 - 4*d**z - 9 + 2*d**3 = 0. What is d?
-2, -1, 1
Let x(c) be the third derivative of c**8/96 + c**7/210 - 7*c**6/120 - c**5/30 + 7*c**4/48 + c**3/6 - 7*c**2 + 1. Let x(j) = 0. What is j?
-1, -2/7, 1
Let n(o) = o**3 - o**2 + o - 1. Let b(f) be the first derivative of 3*f**4/2 - f**3 - 9*f**2 - 21*f - 29. Let w(c) = -b(c) + 3*n(c). Factor w(m).
-3*(m - 3)*(m + 1)*(m + 2)
Let d(a) be the second derivative of 7*a - 16*a**2 + 0 - 49/6*a**4 - 56/3*a**3. Factor d(z).
-2*(7*z + 4)**2
Let g(w) = w**3 + 7*w**2 + 7*w + 4. Let s be g(-4). Let x(r) = -r**2 + 23*r + 26. Let l be x(s). Factor -2*j**3 - 14/5*j + 4/5 + 2/5*j**4 + 18/5*j**l.
2*(j - 2)*(j - 1)**3/5
Let f(z) = 2*z**2 - 2*z + 1. Let p(s) = -s**2 - 1. Let n = -28 - -29. Let g(w) = n*f(w) + p(w). Determine y, given that g(y) = 0.
0, 2
Let h(n) be the second derivative of 0*n**2 + 0 + 1/30*n**4 + 4/15*n**3 + 2*n. Find x such that h(x) = 0.
-4, 0
Let a(q) be the third derivative of 0*q - 5/72*q**4 - 1/360*q**5 + 0 + 15*q**2 - 25/36*q**3. Factor a(v).
-(v + 5)**2/6
Suppose 306*z = 346*z - 200. Determine b, given that 9*b**3 + 5/2*b**z - 4*b**2 + 1/2*b + 0 - 8*b**4 = 0.
0, 1/5, 1
Let y(x) be the first derivative of -3*x**5/20 - 9*x**4/16 + 27*x**3/4 + 177*x**2/8 + 45*x/2 + 246. Find s, given that y(s) = 0.
-6, -1, 5
Let g(r) be the second derivative of -r**6/285 - r**5/38 - r**4/19 + 4*r**3/57 + 8*r**2/19 - 5*r. Solve g(h) = 0.
-2, 1
Suppose 4*c - 2*a - 222 = 0, -c - 13 = 3*a - 51. Suppose c*d = 46*d. Determine u, given that 1/3*u**3 + 0*u + d*u**2 + 0 = 0.
0
Let o(w) be the second derivative of w**5/30 + 25*w**4/6 - w**3/9 - 25*w**2 + 133*w. Find v, given that o(v) = 0.
-75, -1, 1
Let c(t) = -34*t**2 - 38*t - 1. Let g be c(-1). Factor -8/5*s - 7/5*s**2 - 1/5*s**g + 16/5.
-(s - 1)*(s + 4)**2/5
Suppose 0 = -r + 5*u + 4 - 27, 0 = -r - 4*u + 13. Let d(g) = -2*g - 3. Let p be d(r). Factor 5*v**3 - v**p - v**3.
3*v**3
Let m be (-7)/9*96/(-168). Let o = 14432/9 - 1602. Factor m*c + 16/9*c**3 + 2/3*c**4 + o*c**2 + 0.
2*c*(c + 1)**2*(3*c + 2)/9
Let r(g) be the second derivative of -8*g**7/35 + 2*g**6/5 + 3*g**5/8 + g**4/8 - 9*g**3/2 + 4*g - 6. Let v(o) be the second derivative of r(o). Factor v(x).
-3*(x - 1)*(8*x + 1)**2
Let z(s) be the third derivative of s**10/30240 - s**8/1344 - s**7/504 + 5*s**5/12 + 30*s**2. Let r(d) be the third derivative of z(d). Factor r(w).
5*w*(w - 2)*(w + 1)**2
Let c(i) be the third derivative of i**6/240 + i**5/120 - i**4/4 - 247*i**2 - 2. Solve c(y) = 0.
-4, 0, 3
Let n(d) be the second derivative of 0*d**2 + 0*d**4 - 1/5*d**5 + 0*d**3 + 3*d + 0. Factor n(m).
-4*m**3
Let h be (24/(-20))/((-6)/(-760)). Let l = 1068/7 + h. Determine o so that -2/7*o**2 + l + 2/7*o = 