+ 8*g - 39*g**3 - 53*g**4 - 4*g**2 - 12*g + 17*g**4 = 0 for g.
-2/3, 0, 1/4
Suppose 1412*d - 1410*d = 5*a - 9, -2*a - 9 = -5*d. Factor 16/3*i + a*i**3 - 7*i**2 - 4/3.
(i - 1)*(3*i - 2)**2/3
Suppose 35*z - 29*z = 0. Let k be -1 - z - (2 + -7). Factor -8/5 - 24/5*r - 26/5*r**2 - 12/5*r**3 - 2/5*r**k.
-2*(r + 1)**2*(r + 2)**2/5
Solve 6/7*f**3 + 81/7 - 1/7*f**4 - 54/7*f + 0*f**2 = 0.
-3, 3
Let h be 8 + -1 - 85/17. Factor f**h - 1/2*f + f**3 - 1/2 - 1/2*f**4 - 1/2*f**5.
-(f - 1)**2*(f + 1)**3/2
Factor -10*t**3 - 24*t + 12*t**3 - 2*t**2 + 6*t**3 - t**3 + 17*t**3 + 2*t**4.
2*t*(t - 1)*(t + 1)*(t + 12)
Suppose 0 = 10*k + 2*k - 36. Let -57/5*c**2 - 8/5*c**4 - 28/5*c - 38/5*c**k - 4/5 = 0. Calculate c.
-2, -1/2, -1/4
Let i(j) be the first derivative of -2*j**3/63 - 5*j**2/21 + 4*j/3 + 277. Factor i(w).
-2*(w - 2)*(w + 7)/21
Let p(k) be the third derivative of -3*k**6/14 + 2*k**5/105 + 4*k**4/21 - 91*k**2. Factor p(j).
-4*j*(5*j + 2)*(9*j - 4)/7
Suppose 16/9*b - 8/3*b**2 - 2/9*b**5 + 0 + 2/3*b**4 + 4/9*b**3 = 0. What is b?
-2, 0, 1, 2
Suppose 0 = -8*x + 7*x - 12. Let n(v) = -13*v**2 - 45*v - 27. Let j(l) = -32*l**2 - 112*l - 68. Let z(b) = x*n(b) + 5*j(b). Factor z(d).
-4*(d + 1)*(d + 4)
Factor -3364/5 + 232/5*b - 4/5*b**2.
-4*(b - 29)**2/5
Factor -27 - 3/2*b**2 - 33/2*b.
-3*(b + 2)*(b + 9)/2
Determine d so that 3*d - 84*d**2 + 47*d**2 + 3 + d + 38*d**2 = 0.
-3, -1
Let l(z) be the first derivative of 4*z**5/5 + z**4 - 8*z**3/3 - 156. Determine h, given that l(h) = 0.
-2, 0, 1
Let r be 2/(-8) - ((-51)/12 - 1). Let -4*b**r + 2*b + 13*b**5 - 11*b - 12*b**5 + 12*b**3 - 6*b**2 + 6 = 0. What is b?
-2, -1, 1
Let n(b) = -b**4 + 5*b**3 - 24*b**2 - 39*b + 3. Let a(i) = -3*i**4 + 17*i**3 - 72*i**2 - 116*i + 8. Let l(h) = -3*a(h) + 8*n(h). Factor l(d).
d*(d - 6)**2*(d + 1)
Let n be (2 + -2)/(6/(12/2)). Determine w, given that 0*w + 2/5*w**3 + 6/5*w**2 + n = 0.
-3, 0
Let g(f) be the second derivative of 0*f**2 - 6*f + 0 + 1/80*f**5 - 1/12*f**3 - 1/48*f**4. Suppose g(j) = 0. What is j?
-1, 0, 2
Suppose -6*n + n + 5*k + 5 = 0, -3*n - 4*k = -24. Factor -12*t**3 + 2*t**n + 638*t**2 - 630*t**2 + 4*t**3.
2*t**2*(t - 2)**2
Let b = -4797/5 + 949. Let z = b + 166/15. Suppose 7/3*l**3 + 0*l + 0 - z*l**2 = 0. What is l?
0, 2/7
Let z(v) be the second derivative of 2/7*v**2 + 1/7*v**3 + 1/42*v**4 - v + 0. What is c in z(c) = 0?
-2, -1
Let m(b) be the second derivative of 0 + 5/36*b**3 - 12*b - 5/24*b**4 + 1/36*b**6 - 1/24*b**5 + 5/6*b**2. Factor m(i).
5*(i - 2)*(i - 1)*(i + 1)**2/6
Let i(q) be the first derivative of q**6/48 - 2*q**5/5 + 85*q**4/32 - 25*q**3/4 - 105. Factor i(o).
o**2*(o - 6)*(o - 5)**2/8
Let s(h) be the third derivative of h**5/14 + 347*h**4/84 + 46*h**3/21 + 228*h**2. Let s(u) = 0. What is u?
-23, -2/15
Let n(k) be the second derivative of k**5/90 - 2*k**4/9 + 7*k**3/9 + 98*k**2/9 + 2*k + 134. Factor n(v).
2*(v - 7)**2*(v + 2)/9
Let w = -54672/5 + 10940. Let 24/5 + w*j**2 - 92/5*j = 0. What is j?
2/7, 3
Let d(h) be the second derivative of -3/140*h**5 - 1/7*h**4 - 5/14*h**3 + 0 - 26*h - 3/7*h**2. Factor d(q).
-3*(q + 1)**2*(q + 2)/7
Let f(w) be the third derivative of -w**7/1820 + w**6/1170 - 5*w**3/3 - 31*w**2. Let m(x) be the first derivative of f(x). Factor m(z).
-2*z**2*(3*z - 2)/13
Let c be 8/(-4)*-8*-1. Let t = 20 + c. Find p, given that -5*p - 17*p**2 + 5*p**2 - t + 11*p**2 = 0.
-4, -1
Let h be (2 + 33/(-9))*36/(-12). Let i(g) be the second derivative of 0 + 1/50*g**h - 1/5*g**2 - 1/15*g**3 - g + 1/30*g**4. Factor i(d).
2*(d - 1)*(d + 1)**2/5
Let p = 182 + -180. Let m(v) be the first derivative of -1/3*v**p + 1/9*v**3 + 1/3*v + 5. Let m(x) = 0. What is x?
1
Let w = 57776/13 + -4444. Determine g so that -18/13*g**4 + 0 + 18/13*g**2 + 4/13*g**3 - w*g = 0.
-1, 0, 2/9, 1
Let 195*x + 75*x + 50*x - 212 - 512*x**2 + 397 - 235 = 0. What is x?
5/16
Let h be (3030/(-234) + 13)/((-1)/12) - -2. Suppose 4/13 + h*a + 8/13*a**2 = 0. Calculate a.
-2, -1/4
Let g(j) be the second derivative of 64*j**7/231 + 16*j**6/15 + 21*j**5/22 + 3*j**4/11 - 33*j + 2. Factor g(k).
2*k**2*(k + 2)*(8*k + 3)**2/11
Let r(x) be the third derivative of -x**6/600 - x**5/200 - x**3 + 10*x**2. Let f(v) be the first derivative of r(v). Solve f(q) = 0 for q.
-1, 0
Find j such that -2/17*j**5 - 88/17*j**3 + 28/17 - 6*j + 24/17*j**4 + 140/17*j**2 = 0.
1, 2, 7
Let j(p) be the first derivative of -p**5/40 - p**4 - 55*p**3/4 - 121*p**2/2 + 1331*p/8 - 65. Solve j(y) = 0.
-11, 1
Let f be 284/48 - 1 - 8/32. What is o in 2*o + 4/3*o**2 - f*o**3 + 4/3*o**4 + 0 = 0?
-1/2, 0, 1, 3
Let m(r) be the first derivative of 0*r + 9/32*r**4 + 0*r**2 + 2 + 3/40*r**5 + 1/4*r**3. Solve m(p) = 0.
-2, -1, 0
Suppose -3*r + 10 = -2*y, -2*r - 1105*y + 6 = -1106*y. Factor 2*s**r + 18/5*s - 4/5.
2*(s + 2)*(5*s - 1)/5
Factor -2*i**5 + 10*i**4 + 1093 + 12*i**3 - 1093.
-2*i**3*(i - 6)*(i + 1)
Let f(c) = -c**3 - 10*c**2 + 10. Let a be f(-11). Let b = a - 517/4. Suppose -1/4*g**3 - 5/4*g**2 - 3/4 - b*g = 0. Calculate g.
-3, -1
Let z(d) = 2*d**3 + 6*d**2 - 14*d + 6. Let i(o) = -o**4 + o**3 - o + 1. Let y(t) = -2*i(t) - z(t). Solve y(n) = 0 for n.
-2, 1, 2
Suppose 3*o - 5*n = 109 - 78, -3*n - 17 = -o. Factor -1/4*v - 1/2 + 1/4*v**3 + 1/2*v**o.
(v - 1)*(v + 1)*(v + 2)/4
Suppose r + 2*r - 12 = 0. What is h in -6*h**4 + 3*h**5 - 6*h + 18*h**r - 6*h**2 + 3*h - 6*h**4 = 0?
-1, 0, 1
Let y(a) be the second derivative of 11/15*a**6 - 15*a - 27*a**3 - 23/5*a**5 + 0 + 27*a**2 - 1/21*a**7 + 15*a**4. Factor y(k).
-2*(k - 3)**3*(k - 1)**2
Let m(o) = o**2 + 25*o + 153. Let b be m(-15). Let z(t) be the first derivative of 5 + 0*t + b*t**3 + 3/4*t**4 + 3*t**2. Find a such that z(a) = 0.
-2, -1, 0
Let j(u) = 1 + 12 - 1330*u + 1331*u. Let h be j(-10). Factor -1/3*c**4 + 2/3*c - 2/3*c**h + 0*c**2 + 1/3.
-(c - 1)*(c + 1)**3/3
Suppose -3*x = -0*x + 51. Let d = x + 20. Suppose -4*g - 4*g**4 + 2*g**3 - g**3 + 3*g**d + 4*g**2 = 0. What is g?
-1, 0, 1
Let a be (-2 - 1)*28/(-6). Let o = a + -10. Factor o + 0 + 0 + 2*z - z**2 - 1.
-(z - 3)*(z + 1)
Let u(v) be the third derivative of 0 + 0*v**4 - 1/300*v**5 + 0*v - 10*v**2 + 0*v**3. Factor u(d).
-d**2/5
Let l(b) be the second derivative of -1/18*b**4 + 0*b**2 + 1/30*b**5 + 0 - 11*b + 1/27*b**3 - 1/135*b**6. Factor l(n).
-2*n*(n - 1)**3/9
Suppose -7*w = -41 - 8. Factor -w*a + 7*a - 2 + 2*a**2.
2*(a - 1)*(a + 1)
Let l(x) be the second derivative of x**5/60 - x**4/3 + 35*x**3/18 - 24*x - 4. Factor l(u).
u*(u - 7)*(u - 5)/3
Suppose 8 = v + 6. Let s(b) = -5*b - 9*b**v + 8 + 8*b**2 - 1. Let o(k) = k - 1. Let l(m) = 14*o(m) + 2*s(m). Factor l(q).
-2*q*(q - 2)
Let a(m) be the first derivative of m**5/15 - 3*m - 27. Let h(f) be the first derivative of a(f). Find b such that h(b) = 0.
0
Factor -192 + 250*i + 4*i**2 - 549*i + 211*i.
4*(i - 24)*(i + 2)
Suppose 2*u + 14 = 4*z, 680*z + 17 = 681*z + 4*u. Determine t so that 0*t - 1/4*t**4 - 1/4*t**3 + 1/4*t**z + 1/4*t**2 + 0 = 0.
-1, 0, 1
Let j(h) be the first derivative of 6/5*h + 3 + 3/25*h**5 + 3/10*h**2 - 3/20*h**4 - 3/5*h**3. Factor j(x).
3*(x - 2)*(x - 1)*(x + 1)**2/5
Let x be (-16)/(-40)*(-17 - -2)*2. Let k be (74/(-20) + 4)/((-9)/x). Solve 0 - 4/5*o**4 + 0*o + 2/5*o**3 + k*o**5 + 0*o**2 = 0 for o.
0, 1
Let i(r) = -12*r**2 + 86*r + 80. Let j be i(8). Factor 0*f + 0*f**2 + j*f**3 + 0 + 2/23*f**4 - 2/23*f**5.
-2*f**4*(f - 1)/23
Let a(g) = 2*g**5 + 5*g**4 + 5*g**3 + g**2 + 3*g + 2. Let y(d) = d**4 + 2*d**3 + 2*d**2 - d - 1. Let x(s) = a(s) + 2*y(s). Factor x(v).
v*(v + 1)**3*(2*v + 1)
Let a be 61/9 - 0 - (-24)/108. Let t(c) be the second derivative of a*c + 0*c**2 + 1/35*c**5 + 1/14*c**4 - 2/21*c**3 + 0. Solve t(g) = 0 for g.
-2, 0, 1/2
Factor -2/15*c**3 + 8/5 + 2/5*c**2 + 32/15*c.
-2*(c - 6)*(c + 1)*(c + 2)/15
Let q(t) be the first derivative of -6*t - 2/3*t**3 + 4*t**2 + 8. Determine y so that q(y) = 0.
1, 3
Let s(h) be the third derivative of -15*h**2 - 1/36*h**4 - 2/135*h**5 + 1/540*h**6 + 2/3*h**3 + 0 + 0*h. Factor s(p).
2*(p - 3)**2*(p + 2)/9
Let f(w) be the first derivative of -5*w**4/4 + 90*w**3 - 525*w**2/2 + 260*w + 302. Factor f(b).
-5*(b - 52)*(b - 1)**2
Factor -405*l**3 - 162*l**4 - 675/2*l**2 + 0 - 375/4*l.
-3*l*(6*l + 5)**3/4
Let f(o) = -2*o - 36. Let l be f(-21). Let j be -3 - l/12 - -4. Factor -3/2*y + j*y**2 + 1.
(y - 2)*(y - 1)/2
Let b(l) be the th