z, -4*z = -g*f. Factor f*y + 3/2*y**2 - 3/2*y**4 + 0*y**3 + 0.
-3*y**2*(y - 1)*(y + 1)/2
Let r be -19 - 8/((-1728)/6216). What is a in -112/3*a - r*a**2 + 16/3*a**3 - 4/9*a**4 - 196/9 = 0?
-1, 7
Let b(c) be the first derivative of c**7/840 - c**6/288 + c**5/480 + 13*c**3/3 - 4. Let k(s) be the third derivative of b(s). Factor k(d).
d*(d - 1)*(4*d - 1)/4
Let l(c) be the first derivative of 27/14*c**2 + 18/7*c**3 - 17 - 6/7*c. Factor l(y).
3*(3*y + 2)*(6*y - 1)/7
Let k(r) be the second derivative of -r**6/72 + r**5/6 - 5*r**4/6 - 7*r**3/6 + 24*r. Let o(q) be the second derivative of k(q). Factor o(h).
-5*(h - 2)**2
Let f(x) = 5*x**3 - 3*x**2 - 6*x - 1. Suppose 6*i - 5*i = 9. Let g(a) = 1 + 6*a**2 + 4*a - i*a**3 + 2*a + a + 4*a. Let v(r) = -5*f(r) - 3*g(r). Factor v(n).
(n - 2)*(n + 1)*(2*n - 1)
Let i be 1/(2/16) + -4. Solve -4 - 16*k**2 + 14*k - i*k**4 + 8*k**4 + 28*k**5 - 30*k**5 + 4*k**3 = 0 for k.
-2, 1
Let h(c) = 22*c - 102. Let x be h(6). Let z be (-4)/x*123/(-82). Determine y, given that -z*y - 1/10 - 1/10*y**2 = 0.
-1
Suppose 3*k + 0 = 3. Let l be 5 + -2 + k*-6. Let d(h) = -6*h**2 - 9*h - 6. Let z(u) = u**2. Let a(c) = l*z(c) - d(c). Suppose a(v) = 0. What is v?
-2, -1
Let g(d) = 6*d**3 + d**2 + 2*d. Let z be g(2). Let w be 30/z + 0 + (-4)/16. Let w*y**2 + 1/7*y - 2/7 - 1/7*y**3 = 0. What is y?
-1, 1, 2
Suppose q + 3*t + t + 4 = 0, 5*q = 5*t + 30. Let n be q/8*2 + 2. Find d, given that 1 + d + 7*d**3 - n - 6*d**3 - 4*d = 0.
-1, 2
Let k(p) be the third derivative of -p**7/231 - 161*p**6/660 - 656*p**5/165 - 64*p**4/33 - 414*p**2. Factor k(z).
-2*z*(z + 16)**2*(5*z + 1)/11
Let k(w) be the second derivative of -2*w**4/7 + 190*w**3/21 + 32*w**2/7 - 536*w. Factor k(b).
-4*(b - 16)*(6*b + 1)/7
Let l(h) be the third derivative of 0*h + 1/12*h**5 - 8*h**2 + 0 + 17/24*h**4 + h**3. Factor l(d).
(d + 3)*(5*d + 2)
Factor 40/3*o + 400/3 + 1/3*o**2.
(o + 20)**2/3
Suppose 27/2 - 241/4*r - 9/4*r**2 = 0. Calculate r.
-27, 2/9
Let y be 40612/15730 + 4/(-22). Factor -32/5*h**2 + 8/5 + y*h + 12/5*h**3.
4*(h - 2)*(h - 1)*(3*h + 1)/5
Let m = 250 - 749/3. Let c(k) be the second derivative of 3*k + 1/10*k**5 + 2*k**2 + 0 - 1/3*k**4 - m*k**3. Factor c(t).
2*(t - 2)*(t - 1)*(t + 1)
Let m = 2905 - 17429/6. Let c(l) be the third derivative of 0 + 1/30*l**5 - m*l**4 + 1/3*l**3 + 0*l + 12*l**2. Factor c(g).
2*(g - 1)**2
Let k(z) be the second derivative of z**4/6 - 10*z**3 + 236*z. Factor k(s).
2*s*(s - 30)
Let 95/3*k**2 + 361/9*k**3 - 8*k + 4/9 = 0. What is k?
-1, 2/19
Let g(a) = 95*a + 1048. Let d be g(-11). Factor 1/4*p**d + 1/2 - 1/4*p - 1/2*p**2.
(p - 2)*(p - 1)*(p + 1)/4
Suppose 655*s = 678*s. Let o(k) be the second derivative of s + 3/40*k**5 + 3/8*k**4 + 3/4*k**3 - 15*k + 3/4*k**2. Factor o(i).
3*(i + 1)**3/2
Let l(o) be the second derivative of 15*o + 1/9*o**4 + 2/3*o**2 - 4/9*o**3 + 0. What is d in l(d) = 0?
1
Let y = 4617/238 + -136/7. Let p = 97/170 - y. Let -9/5*v**2 - p + 12/5*v = 0. Calculate v.
1/3, 1
Let d(k) = k + 15. Let m be d(-12). Determine n so that -3*n**5 - 2162 + 2162 + m*n**2 + 3*n**3 - 3*n**4 = 0.
-1, 0, 1
Let q(c) be the second derivative of 5*c**7/14 - 19*c**6/6 + c**5 + 5*c**4 - 409*c. Find b, given that q(b) = 0.
-2/3, 0, 1, 6
Let s be (-1287)/(-1404) - (1 + (-1)/3). Factor 0 + s*v**2 - 1/4*v.
v*(v - 1)/4
Let h = -603/10 + 709/5. Let o = h + -81. Factor 1/4*l**2 + 0 + o*l.
l*(l + 2)/4
Let y = -24 + 24. Let q be -1 - 20/(-4 + y). Factor 13*z**2 - 12*z**2 + z**4 - 2*z**q.
-z**2*(z - 1)*(z + 1)
Let b be (-7)/(-14) - 17/68. Factor -1/2 + 1/4*r**3 - b*r**4 + 3/4*r**2 - 1/4*r.
-(r - 2)*(r - 1)*(r + 1)**2/4
Suppose 4*d = -3*s - 15, -5*d - 25 + 10 = 3*s. Let o(z) be the second derivative of 0*z**2 - 1/3*z**3 - 5*z + d + 1/15*z**6 - 3/10*z**5 + 1/2*z**4. Factor o(q).
2*q*(q - 1)**3
Let f(a) be the first derivative of 3/28*a**4 + 0*a**2 + 2 - 1/7*a**3 + 0*a - 1/14*a**6 + 3/35*a**5. Factor f(k).
-3*k**2*(k - 1)**2*(k + 1)/7
Solve -87*r**2 - 5*r**5 + 2 + 34*r + 63*r**4 + 22 - 98*r**3 - 67*r**3 + 136*r**3 = 0.
-1, -2/5, 1, 12
Let c(g) = -2*g + 21. Let r be c(8). Let s(i) be the first derivative of -1/2*i**4 + 3 + 0*i**2 + 0*i + 2/5*i**r - 4/3*i**3. Find o, given that s(o) = 0.
-1, 0, 2
Let t be 4/8*(38 - 38). Factor -2/15*v**2 + t + 2/15*v.
-2*v*(v - 1)/15
Let g be -22 + 32 - 1196/120. Let s(y) be the third derivative of 0*y + 9*y**2 + 5/6*y**4 + g*y**6 + 0 - 4/15*y**5 - 4/3*y**3. Factor s(f).
4*(f - 2)*(f - 1)**2
Let w(o) = o**3 + 4*o**2 - 2*o - 4. Let i be (4/10)/(4/(-40)). Let m be w(i). Factor -26*y**2 - 2*y**3 + y**4 + 14*y**3 - 3*y**m + 2 + 24*y - 10.
-2*(y - 2)**2*(y - 1)**2
Suppose 3*s = 2*x, -1 = 4*s + 4*x - 7*x. Let m be (-14)/4*s*(-12)/42. Factor 49/3*b**m + 3 - 14*b.
(7*b - 3)**2/3
Let x(z) = 12*z**3 + 50*z**2 - 229*z + 237. Let a(r) = -14*r**3 - 50*r**2 + 230*r - 238. Let w(d) = -5*a(d) - 6*x(d). Factor w(m).
-2*(m - 2)**2*(m + 29)
Let f(q) = 4*q**3 + 25*q**2 + 44*q + 17. Let w(r) = 44*r**3 + 276*r**2 + 484*r + 188. Let b(z) = 32*f(z) - 3*w(z). Solve b(i) = 0.
-5, -1
Suppose 2*c + 0*c = -4. Let q be (-9 + 0)*c/6. Factor 0*v**4 + 4*v**q - v**2 + v**4 + 5*v**2.
v**2*(v + 2)**2
Let w = -1235 - -74101/60. Let h(l) be the third derivative of -1/30*l**5 - w*l**6 + 1/3*l**3 + 1/12*l**4 + 0 + 0*l - 4*l**2. Factor h(q).
-2*(q - 1)*(q + 1)**2
Solve -67/7*s**2 - 17/7*s**4 - 1/7*s**5 - 26/7*s + 0 - 57/7*s**3 = 0 for s.
-13, -2, -1, 0
Let x(r) = -r**3 + 10*r**2 + 19*r - 258. Let a be x(6). Let 0*b**2 - 16/7*b + 4/7*b**3 + a = 0. What is b?
-2, 0, 2
Let g(p) = -10*p**3 - 24*p**2. Let d(f) = 21*f**3 + 48*f**2. Let h(c) = 6*d(c) + 13*g(c). Solve h(a) = 0.
-6, 0
Let l(b) = 14*b**4 - 74*b**3 + 212*b**2 - 176*b - 8. Let p(t) = 9*t**4 - 49*t**3 + 141*t**2 - 116*t - 5. Let n(i) = -5*l(i) + 8*p(i). Factor n(h).
2*h*(h - 6)*(h - 4)*(h - 1)
Let h(i) be the first derivative of 0*i + 0*i**3 + i**4 + 0*i**2 - 14 - 4/5*i**5. Factor h(g).
-4*g**3*(g - 1)
Suppose 8 - 3 = u. Let l(r) = -1 - 4*r**2 + 6 + r**2 + 8*r. Let a(t) = -t - 1. Let y(j) = u*a(j) + l(j). Solve y(z) = 0.
0, 1
Suppose 53 = 4*f - 727. Factor a**2 + 97*a - f*a + 96*a - 3.
(a - 3)*(a + 1)
Solve -2/11*f**2 - 2738/11 + 148/11*f = 0.
37
Let s be -1*1*(-3 + 1). Find l, given that -32 - 12*l**2 + 8*l + 7*l**s + 9*l**2 = 0.
-4, 2
Let y(j) = -29*j**3 - 151*j**2 - 106*j + 20. Let a(s) = -28*s**3 - 149*s**2 - 107*s + 19. Let t(o) = 4*a(o) - 5*y(o). Factor t(b).
3*(b + 1)*(b + 4)*(11*b - 2)
Let f(h) be the third derivative of 0*h**4 + 1/330*h**5 - 7*h**2 - 4/33*h**3 + 0 + 0*h. Suppose f(m) = 0. Calculate m.
-2, 2
Let m be (-4)/(-6)*(-18)/(-4). Let o(n) = -4 + 8*n**m + 5 + n**2 - 6 + 3*n. Let g(d) = -d**3 + d**2 + 1. Let a(k) = -5*g(k) - o(k). Factor a(h).
-3*h*(h + 1)**2
Let s(x) = 4*x**2 + 9*x - 21. Let m(z) = z**2 + 2*z - 1. Let y(t) = 6*m(t) - 2*s(t). Factor y(d).
-2*(d - 3)*(d + 6)
Let q(r) = r**2 - r. Let y(t) = -3*t**2 + 60*t - 57. Let z(s) = 6*q(s) + y(s). Factor z(p).
3*(p - 1)*(p + 19)
Let c(g) be the third derivative of 11*g**2 - 1/100*g**6 + 0 - 3/350*g**7 + 0*g + 1/50*g**5 - 1/560*g**8 + 1/10*g**3 + 3/40*g**4. Factor c(u).
-3*(u - 1)*(u + 1)**4/5
Let w(p) be the first derivative of -4*p**5/5 - 8*p**4 + 32*p**3/3 + 192*p**2 - 576*p - 11. Factor w(o).
-4*(o - 2)**2*(o + 6)**2
Suppose -407 - 365 + 772 + 5*x**2 - 140*x = 0. What is x?
0, 28
Let m(z) = -7*z - 1. Let h be m(-1). Suppose 2*f - h + 2 = -g, -f - 3 = 3*g. Determine u, given that 3*u**f + 5 + u - 4*u - 5 = 0.
-1, 0, 1
Let x be 50/45*(-252)/(-224). Solve -15/2*y**3 + 15*y**2 - 10*y + x*y**4 + 0 = 0 for y.
0, 2
Factor -1/2*h**2 + 0 - h.
-h*(h + 2)/2
Let j(c) = c**2 + 8*c + 17. Let d be j(-5). Factor -3*b + 0*b - d*b**2 + 5*b.
-2*b*(b - 1)
Let c be 4/(-10) - 34/(-10). Suppose -6*j + 15 = c. What is i in -1/2 - i - 1/2*i**j = 0?
-1
Factor -5*q**4 - 4 + 4 + 267*q**5 - 8*q**3 - 4*q**2 - 268*q**5.
-q**2*(q + 1)*(q + 2)**2
Let q(b) be the second derivative of b**5/60 + b**4/12 + b**3/9 - 120*b. Factor q(x).
x*(x + 1)*(x + 2)/3
Let y(c) = c**3 + 35*c**2 - 112*c + 78. Let h be y(-38). Determine b so that 6*b**3 - 4*b**h + 0 + 2/3*b = 0.
0, 1/3
Let m(y) be the first derivative of -y**6/8 + 9*y**5/20 + 33*y**4/16 - 3*y**3/4 - 15*y**2/4 - 488. Determine d, given that m(d) = 0.
-2, -1, 0, 1, 5
Suppose 0 = -2*j + 105 - 91. Let i(c) be the third derivat