/5 - 36*x/5 + 781. Suppose p(w) = 0. Calculate w.
-9, -2, -1/2
Let -319*u**3 - 2900*u**2 + u**3 - 25 - 5 - 67*u**3 - 115*u**3 + 595*u = 0. What is u?
-6, 1/10
Let s(n) be the second derivative of -n**4/6 - 5*n**3/3 + 24*n**2 + 694*n. Factor s(v).
-2*(v - 3)*(v + 8)
Let p(j) = j**3 - 7*j**2 + 4*j + 14. Let w be p(6). Let r be -5*1*(-4)/10. Let 1 + 0*f**w + 0*f + f**2 + r*f = 0. What is f?
-1
Factor 32*d + 4/9*d**3 + 0 - 88/9*d**2.
4*d*(d - 18)*(d - 4)/9
Solve 26*f - 57 + 63 + 14*f**4 - f**5 + 2*f**5 + 44*f**2 + f**5 + 36*f**3 = 0 for f.
-3, -1
Suppose -24*f + 36 = -84. Let o be -2 - ((-70)/8 + 3). Determine s so that -o*s**2 - 33/4*s**3 - 1/2*s + 0 - 9/4*s**f - 29/4*s**4 = 0.
-1, -2/9, 0
Let s(a) = 2*a**3 + 20*a**2 + a + 10. Suppose -10 = -36*p + 37*p. Let h be s(p). Factor 0*o**3 + 2/7*o**4 + 0 + h*o - 2/7*o**2.
2*o**2*(o - 1)*(o + 1)/7
Find w, given that 21*w**2 + 12 - 9*w**2 - 11*w**2 + 0*w**2 - 7*w = 0.
3, 4
Suppose 3*v + 18*v**4 - v**2 - 43*v**4 + 24*v**4 - 3*v**3 + 2 + 0 = 0. What is v?
-2, -1, 1
Determine x, given that 1/2*x**3 + 3*x**2 + 9/2*x + 2 = 0.
-4, -1
Determine y so that -1/3*y**2 + 1/3*y + 0 = 0.
0, 1
Let v be ((-3)/6)/(1/(-2))*2. Factor 48 + 9*i**5 + 62*i**2 - 96*i**v + 177*i**3 - 78*i - 29*i**2 - 93*i**4.
3*(i - 8)*(i - 1)**3*(3*i + 2)
Let x(t) = t**3 - t**2 + t + 2. Let s be x(0). Suppose -s*v = -5*v + 6. Factor -6*i + 0*i**v + 5*i - 3*i**2.
-i*(3*i + 1)
Let b be 0/(-14)*5/45. Suppose b - 50/7*l**2 + 0*l - 2/7*l**4 + 20/7*l**3 = 0. What is l?
0, 5
Let z(n) be the first derivative of -n**5/20 + 37*n**4/16 - 39*n**3 + 270*n**2 - 432*n + 42. Factor z(v).
-(v - 12)**3*(v - 1)/4
Let i be (1/14)/(-48 - (-41175)/854). Factor 1/3*n**2 + 0 - 1/3*n**3 + 1/3*n - i*n**4.
-n*(n - 1)*(n + 1)**2/3
Let u = -5 + 8. Let q(i) = -i**2 - 7*i - 4. Let x be q(-6). What is y in 5*y**3 - 7*y + 2*y**x - 6*y**3 + 5*y - 2*y**4 + u*y**3 = 0?
-1, 0, 1
Let o = 38 - 34. Suppose 40 = 3*l + o. Factor -l*y + 28*y**2 - 15 + 6 - 31*y**2.
-3*(y + 1)*(y + 3)
Suppose 28 + 10*w**2 - w**3 + 4*w**3 - 2*w**3 + 2*w**3 - 4 - 44*w = 0. What is w?
-6, 2/3, 2
Suppose 3*j = c - 8, 14 = -5*j + c + 6. Factor j + 0*f + 3*f**4 + 3/5*f**3 - 3/5*f**2 + 9/5*f**5.
3*f**2*(f + 1)**2*(3*f - 1)/5
Factor -114/7*h + 10/7*h**2 + 44/7.
2*(h - 11)*(5*h - 2)/7
Suppose -24/7*t**2 - 16/7*t + 4/7*t**3 + 4/7*t**4 + 32/7 = 0. What is t?
-2, 1, 2
Suppose 0 = -12*p - 21 + 105. Let x be ((1 - 1)/(-2))/(p + -6). Suppose -6/7*c + 2/7*c**2 + x = 0. What is c?
0, 3
Let j be ((-125)/225)/((-3)/252). Factor -j*l + 50/3 + 98/3*l**2.
2*(7*l - 5)**2/3
What is d in 12*d**2 + 0 + 0*d - 15/2*d**5 + 33*d**4 - 42*d**3 = 0?
0, 2/5, 2
Let i be 10/(-48) + ((-298)/(-596))/((-6)/(-4)). Factor 1/4*k + 0 + i*k**2 - 3/8*k**3.
-k*(k - 1)*(3*k + 2)/8
Factor -2/9*c**2 - 76/9 + 26/3*c.
-2*(c - 38)*(c - 1)/9
Let s(u) = 2*u**4 - 42*u**3 - 123*u**2 - 124*u - 42. Let l(c) = 3*c**4 - 84*c**3 - 245*c**2 - 246*c - 83. Let n(w) = 3*l(w) - 5*s(w). Factor n(d).
-(d + 1)**3*(d + 39)
Suppose 3*k = 5*j - 1, -14 = -3*k - 5. Factor 2*r**5 + r - r**5 + 109*r**2 + 10*r**4 - 103*r**j + 2*r**5 + 12*r**3.
r*(r + 1)**3*(3*r + 1)
Let m(q) = -q**3 - 4*q**2 + 5*q + 2. Let w be m(-5). Let c(a) be the first derivative of 2 + a**3 + 0*a**3 - 6 - w. Factor c(v).
3*v**2
Let v(x) be the first derivative of -x**5/50 - x**4/5 - 304. Solve v(r) = 0 for r.
-8, 0
Find x such that 17*x + 22 + 25 - 83 - 39*x**3 - 20*x**2 + 34 = 0.
-1, 2/13, 1/3
Let i be 1/(-2)*-4 - 87 - -2. Let x = -83 - i. Factor -4/5*v**2 + 0 + x*v + 4/5*v**3.
4*v**2*(v - 1)/5
Let k(c) be the second derivative of 0*c**2 + 1/10*c**5 + 41*c + 4/15*c**3 + 4/15*c**4 + 1/75*c**6 + 0. Factor k(a).
2*a*(a + 1)*(a + 2)**2/5
Let p(n) be the second derivative of -n**5/160 - 3*n**4/16 - 9*n**3/4 - 27*n**2/2 - 79*n. Determine d so that p(d) = 0.
-6
Let n(a) be the first derivative of -2*a**3/3 + 2*a**2 - 2*a - 58. Factor n(b).
-2*(b - 1)**2
Suppose 0 = -i - c + 2 - 7, -2*c = i + 10. Let p(t) be the third derivative of i + 0*t - 1/30*t**5 - 1/2*t**4 + 5*t**2 - 3*t**3. Suppose p(f) = 0. Calculate f.
-3
Let o(z) = 2*z**4 - 4*z**3 + 14*z**2 + 32*z - 28. Let y(k) = 12*k**4 - 19*k**3 + 70*k**2 + 161*k - 136. Let l(q) = 11*o(q) - 2*y(q). What is c in l(c) = 0?
-3, 1, 2
Let m(c) be the second derivative of 4*c**3 + 1/3*c**4 + 0 + 10*c**2 - 5*c. Solve m(s) = 0 for s.
-5, -1
Let q(g) = -g**2 - 4*g + 4. Let s be q(-4). Suppose -4*c + 20 = 2*j, j - s*j + 9 = -c. Suppose 8 + 0*o**2 + 6*o**2 + 2*o + o - 14 - 3*o**c = 0. Calculate o.
-1, 1, 2
Let p(o) be the second derivative of -4*o**7/147 - 3*o**6/35 - 3*o**5/35 - o**4/42 + 9*o - 8. Let p(s) = 0. What is s?
-1, -1/4, 0
Let l be (99/660)/(3/15). Factor 0 - l*a**3 + 0*a + 3/4*a**2.
-3*a**2*(a - 1)/4
Factor -130*l**2 + 338/9*l**3 - 6 + 54*l.
2*(l - 3)*(13*l - 3)**2/9
Suppose 20 = 4*g, 11 = 2*b + g - 0*g. Suppose v = -b*u - 12, 2*u = -3*v - v + 2. Factor 0 - 1/3*o**v - 2/3*o + o**2.
-o*(o - 2)*(o - 1)/3
Let f(s) be the second derivative of 49*s**5/80 + 35*s**4/16 + 3*s**3 + 2*s**2 - 93*s. Determine c so that f(c) = 0.
-1, -4/7
Suppose 85*p - 221 = 76 + 43. Let -1/6*s**p - 1/6*s**2 - 8/3 + s**3 - 4*s = 0. What is s?
-1, 4
Factor -8/11*j + 24/11 - 2/11*j**2.
-2*(j - 2)*(j + 6)/11
Let y(i) be the third derivative of i**6/200 - 4*i**5/25 + 9*i**4/8 + 81*i**3/5 + 3*i**2 - 10. Factor y(n).
3*(n - 9)**2*(n + 2)/5
Let d(v) be the second derivative of v**7/42 + v**6/10 + 3*v**5/20 + v**4/12 - 77*v. Factor d(a).
a**2*(a + 1)**3
Factor 39/4*v**2 - 27/2 + 3/4*v**4 + 9/4*v - 21/4*v**3.
3*(v - 3)**2*(v - 2)*(v + 1)/4
Find v such that 81*v - 14*v**3 + 2 + 6 + 11*v**3 - 8 + 18*v**2 = 0.
-3, 0, 9
Let l be 65/(-26)*(-24)/30. Determine k, given that 0 + 4/7*k**3 + 0*k**2 + 10/7*k**5 - l*k**4 + 0*k = 0.
0, 2/5, 1
Suppose 4*g = -p + 7796, -g + 5*p = g - 3920. Let q = g - 21432/11. Factor 2/11*u**3 - 10/11*u**2 + 6/11*u + q.
2*(u - 3)**2*(u + 1)/11
Suppose w - 2 = -0*w. Let 0*h**5 - 33*h - 10*h**3 + w*h**5 + 41*h = 0. What is h?
-2, -1, 0, 1, 2
Let p = -655831/1179 - -5006/9. Let j = p - -1899/1703. What is h in -6/13*h**2 + j*h - 4/13 = 0?
1/3, 2
Let s(b) be the first derivative of 7 + b**3 - 3*b**2 + 1/80*b**6 + 0*b + 1/8*b**5 + 1/2*b**4. Let v(g) be the second derivative of s(g). Factor v(a).
3*(a + 1)*(a + 2)**2/2
Let u(r) be the second derivative of -r**8/10080 - r**7/5040 + r**3/3 + 5*r. Let l(o) be the second derivative of u(o). Determine d so that l(d) = 0.
-1, 0
Factor 30*h + 6*h**3 + 23*h**2 + 1/2*h**4 + 25/2.
(h + 1)**2*(h + 5)**2/2
Let u(r) = -r**2 - 10*r + 14. Let g be u(-11). Factor 1 + 2*h + 10*h**3 - 2*h**2 - 1 + 2 - 12*h**g.
-2*(h - 1)*(h + 1)**2
Let j(u) be the first derivative of -u**3/3 + 103*u**2 - 10609*u - 58. Factor j(i).
-(i - 103)**2
Suppose 5*y + 3*o = 54, 2*o - 6*o + 28 = 3*y. Let g = y - 9. Factor -11*u**3 + 2*u**2 + 5*u**3 + 0*u**g + 6*u**4 - 2*u**5.
-2*u**2*(u - 1)**3
Factor -2/13*w**3 + 232/13*w**2 + 952/13*w + 960/13.
-2*(w - 120)*(w + 2)**2/13
Suppose 3*q + 9 = 6*r - r, q + 3 = 5*r. Factor r*m**2 - 5/2*m + 0 + 5/2*m**3.
5*m*(m - 1)*(m + 1)/2
Let j(l) be the first derivative of 121/3*l**3 - 22*l**2 + 4 + 4*l. Suppose j(t) = 0. Calculate t.
2/11
Let u(p) be the first derivative of -p**4/4 + 7*p**3/3 + p**2/2 - 7*p - 209. Factor u(f).
-(f - 7)*(f - 1)*(f + 1)
Let r(w) be the second derivative of w**4/8 - 7*w**3/4 + 120*w. Factor r(q).
3*q*(q - 7)/2
Let -27*z**4 - 8/5*z + 0 + 2/5*z**2 + 141/5*z**3 = 0. What is z?
-2/9, 0, 4/15, 1
Let q = -2550 + 2550. Let u(y) be the second derivative of 1/8*y**4 - 13*y + 0 + q*y**2 + 1/40*y**5 + 1/6*y**3. Factor u(v).
v*(v + 1)*(v + 2)/2
Factor -170*m + 36*m - 440 - 236*m - 35*m**2 + 80*m.
-5*(m + 2)*(7*m + 44)
Suppose 65 = -56*z + 177. Suppose -r - 2 = 0, -g = 4*g - 3*r - 46. Factor -4*w**z - 9*w**2 + g*w + 12 + 9*w**2.
-4*(w - 3)*(w + 1)
Let d(b) = -18*b**3 + 68*b**2 + 12*b + 20. Let o be d(4). Factor -9/4*h**2 - 1/4*h**o - 7/4*h - 5/4*h**3 - 1/2.
-(h + 1)**3*(h + 2)/4
Determine q so that 115*q + 0*q**2 - 139*q + 4*q**2 = 0.
0, 6
Let 1062882/5 + 2/5*x**4 - 157464/5*x - 216/5*x**3 + 8748/5*x**2 = 0. Calculate x.
27
Suppose 1 = -4*g - 3*o + 7, -3*o = 6. Let u(f) be the first derivative of -1/3*f**2 + 0*f - 2 + 4/9*f**g. Factor u(d).
2*d*(2*d - 1)/3
Let m be (-7)/(-14)*(-2 - -2). Let r be (m + -1)/((-1)/2). Factor 14*x**3 -