z) = 287*z**3 - 560*z**2 + 303*z - 30. Let a(m) = -6*f(m) - 11*n(m). Factor a(u).
-2*(u - 1)**2*(69*u - 2)
Let y = 116/147 + -6/49. Factor 0 - y*c**2 - 4/9*c - 2/9*c**3.
-2*c*(c + 1)*(c + 2)/9
Let z(v) = -v + 15 + 4*v + 0*v. Let h be z(-5). Let 2/3*s**2 - 2/3*s + h = 0. What is s?
0, 1
Let h be 1/2*(2 + (-8)/4). Factor h*q - 2/15 + 2/15*q**2.
2*(q - 1)*(q + 1)/15
Let m(v) be the first derivative of -70*v**3/3 - 125*v**2/2 + 30*v - 111. Determine a so that m(a) = 0.
-2, 3/14
Let b(w) = 2*w**2 + w**3 + 5*w**2 - 2*w**2 + w**2 - 7*w + 1. Let h be b(-7). Suppose -1/2*f - h + 3/2*f**2 = 0. Calculate f.
-2/3, 1
Let l(x) be the third derivative of 3/8*x**4 + 0*x - 1/10*x**5 - 4*x**2 + 0*x**3 - 1/40*x**6 + 0. Solve l(y) = 0 for y.
-3, 0, 1
Suppose -21*t + 3*t - 18*t = 0. Factor t + 2/5*j**3 - 4/5*j**2 + 0*j.
2*j**2*(j - 2)/5
Let h(b) be the first derivative of -b**4/4 + 10*b**3/9 + 3*b**2/2 - 4*b/3 + 89. Suppose h(q) = 0. Calculate q.
-1, 1/3, 4
Let r(p) be the second derivative of -3*p**6/5 + 93*p**5/20 + p**4/4 - 31*p**3/2 + 15*p**2/2 + 133*p. Find f such that r(f) = 0.
-1, 1/6, 1, 5
Let s(x) = -x**5 + x**4 - x**3 + x**2. Let p(m) = 6*m**5 - 3*m**4 + 15*m**3 - 11*m**2. Let w(n) = 2*p(n) + 22*s(n). Suppose w(u) = 0. What is u?
-2/5, 0, 2
Let d(l) be the first derivative of l**6/320 - 3*l**5/160 - 2*l**2 + 2. Let w(b) be the second derivative of d(b). Find j such that w(j) = 0.
0, 3
Let s(g) be the first derivative of 0*g**3 + 5 - 3*g**2 + 1/60*g**5 + 0*g**4 + 0*g. Let y(f) be the second derivative of s(f). Factor y(t).
t**2
Let p(g) be the first derivative of g**6/60 - g**4/12 - 5*g**2/2 - 24. Let o(a) be the second derivative of p(a). Determine t so that o(t) = 0.
-1, 0, 1
Let r be 16/10*(42/12 + -1). Factor 6/7 - 3/7*d + 3/7*d**3 + 3/7*d**r - 9/7*d**2.
3*(d - 1)**2*(d + 1)*(d + 2)/7
Let o(d) be the second derivative of d**4/24 + d**3/6 - 3*d**2/4 + 4*d + 6. Suppose o(u) = 0. What is u?
-3, 1
Let l(k) be the third derivative of 0*k - 3*k**2 - 2/9*k**3 + 0 - 1/180*k**5 + 1/18*k**4. Factor l(i).
-(i - 2)**2/3
Let l(b) = 21*b**2 - 2*b + 3. Let k be l(1). Let s be (4/(-50))/(2 - k/10). Let s - 3/5*r + 1/5*r**2 = 0. What is r?
1, 2
Let g(p) = -5*p**4 + 35*p**3 - 81*p**2 + 28*p + 29. Let j(b) = 5*b**4 - 36*b**3 + 82*b**2 - 32*b - 30. Let d(c) = -2*g(c) - 3*j(c). Factor d(r).
-(r - 4)*(r - 2)**2*(5*r + 2)
Suppose 0 = -25*f + 144 - 19. Factor 0*x**3 + 2/3*x**f - 2/3*x + 0 - 4/3*x**2 + 4/3*x**4.
2*x*(x - 1)*(x + 1)**3/3
Let y(q) = 15*q**2 + 6*q - 15. Let g(h) = -47*h**2 - 19*h + 44. Let x(p) = -3*g(p) - 8*y(p). Solve x(n) = 0 for n.
-1, 4/7
Suppose -45 = -11*h - 4*h. Determine y, given that 2/5*y**2 + 0 + 2/5*y**h - 4/5*y = 0.
-2, 0, 1
Suppose 12*c - 39*c + 54 = 0. Let u(l) be the first derivative of 0*l**2 + 2/45*l**5 + c - 4/27*l**3 + 0*l - 1/18*l**4. Determine x, given that u(x) = 0.
-1, 0, 2
Solve -3/4*t**2 - 27/4*t - 27/2 = 0 for t.
-6, -3
Let c = -43/30 - -8/5. Let j = -281/6 + 47. What is z in j*z**2 + 1/3*z + c = 0?
-1
Let x be (-8 - -4)*(1 + (-14)/8). Let g(f) = -5*f**2 - 9*f - 3. Let q(w) = -w**2 - w - 1. Let j(b) = x*q(b) - g(b). Factor j(a).
2*a*(a + 3)
Let o(k) be the first derivative of 3/5*k**2 + 17 + 9/5*k - 1/5*k**3. Determine n so that o(n) = 0.
-1, 3
Let v = -4385 - -2240. Let t be (-1050)/v - (-6)/(-33). Let 0 - 14/13*s**5 - 32/13*s**4 - 22/13*s**3 + 0*s - t*s**2 = 0. What is s?
-1, -2/7, 0
Let r be (3 - (-232)/(-72))/(8/(-6) + 1). Factor -r + 4/9*x**2 + 2/9*x**4 - 8/9*x + 8/9*x**3.
2*(x - 1)*(x + 1)**2*(x + 3)/9
Let o = -3039 + 3039. Let k(p) be the first derivative of -4/3*p**3 + 8 + 4*p**2 + o*p. What is z in k(z) = 0?
0, 2
Let y(b) be the third derivative of 0*b + 0*b**3 - 1/252*b**8 - 1/30*b**6 + 0*b**4 - 2/105*b**7 + 0 - 1/45*b**5 + 8*b**2. Determine n so that y(n) = 0.
-1, 0
Let p(b) = -26*b**2 + 32*b - 18. Let o(x) = -2*x**2 - x + 2. Let w(z) = 12*o(z) - p(z). Factor w(l).
2*(l - 21)*(l - 1)
Suppose -14*g + 10*g - 4*n = -36, -3*g + 5*n - 21 = 0. Let 0 - 8/7*m - 4/7*m**g - 12/7*m**2 = 0. Calculate m.
-2, -1, 0
Let s(p) be the first derivative of p**6/75 - p**4/10 + 2*p**3/15 - 9*p - 4. Let y(h) be the first derivative of s(h). Solve y(a) = 0.
-2, 0, 1
Let n(c) be the third derivative of c**7/840 - 17*c**4/8 + 53*c**2. Let f(p) be the second derivative of n(p). Factor f(t).
3*t**2
Let w be 1266/10 - (-10)/25. Let u = w + -85. Suppose 2*g**4 + 2*g**2 + 4*g**3 + 42 - u = 0. What is g?
-1, 0
Suppose 5*a - 17 + 7 = 0. Factor -a*k**3 - 11*k**2 - 15*k**2 + 26*k**2 + 2*k.
-2*k*(k - 1)*(k + 1)
Let a(x) be the second derivative of x**6/900 + x**5/150 - x**4/20 - 7*x**3/3 + 4*x. Let b(l) be the second derivative of a(l). Factor b(f).
2*(f - 1)*(f + 3)/5
Let v(m) = 12*m + 60. Let l be v(-5). Let i(s) be the third derivative of -4*s**2 + 3/8*s**4 + 9/4*s**3 + 1/40*s**5 + 0 + l*s. Let i(y) = 0. What is y?
-3
Let w be 24/16 + (-30)/(-16) + -3. Factor -w*y**2 + 0 - 3/8*y.
-3*y*(y + 1)/8
Let o(r) be the second derivative of -r**6/10 - 3*r**5 - 59*r**4/2 - 90*r**3 - 243*r**2/2 - 111*r. Factor o(y).
-3*(y + 1)**2*(y + 9)**2
Factor 14/3*x**2 + 0 + 4*x + 2/3*x**3.
2*x*(x + 1)*(x + 6)/3
Let r(m) be the first derivative of -7 + 20/3*m**3 - 4*m**4 - m**2 - 2*m. Suppose r(i) = 0. What is i?
-1/4, 1/2, 1
Let c be (-2 + 2)/((8/(-6))/((-196)/(-735))). Solve c*a + 36/5*a**2 + 1/5*a**4 + 12/5*a**3 + 0 = 0.
-6, 0
Suppose 7 - 7 + 4 - 29085*x**2 + 572*x - 11813*x**2 - 6 = 0. Calculate x.
1/143
Let s be (-44)/102 - ((-126)/27 + 4). Determine y, given that 6/17*y**4 - 4/17*y + 8/17*y**3 - s*y**5 - 6/17*y**2 + 0 = 0.
-1, -1/2, 0, 1, 2
Factor 11*w**4 - 33*w**4 + 14*w**3 + 16*w**3 + 17*w**4.
-5*w**3*(w - 6)
Let j(r) be the first derivative of -2*r - 12/5*r**3 - 2/25*r**5 + 16/5*r**2 + 4/5*r**4 + 22. Solve j(x) = 0 for x.
1, 5
Factor 23/2*v**3 - 1/6*v**4 + 34/3 - 67/6*v**2 - 23/2*v.
-(v - 68)*(v - 1)**2*(v + 1)/6
Let y(w) be the third derivative of w**5/15 - 59*w**4/3 + 6962*w**3/3 - 133*w**2. Factor y(f).
4*(f - 59)**2
Let p(z) = z**2 + 2*z + 2. Let o be p(-3). Let x be o*4*(-4)/(-16). Suppose 21*d**2 - 2*d**3 + 5*d**3 + d**x - 12 - 4*d**5 - 9*d**4 = 0. Calculate d.
-2, -1, 1
Suppose -6 + 36 = -2*z. Let p = -12 - z. Factor 0*b + 3 - 3*b**2 + p*b + 3.
-3*(b - 2)*(b + 1)
Let s = -8/2273 + 456913/11365. Let z = s + -40. Determine l so that 1/5*l**5 - 3/5*l + 2/5*l**3 - z + 3/5*l**4 - 2/5*l**2 = 0.
-1, 1
Suppose 94*i - 12 = 88*i. Factor 32/7 - 16/7*g + 2/7*g**i.
2*(g - 4)**2/7
Let f(c) = -c**3 - 9*c**2 - 10*c - 12. Let a be f(-8). Suppose -4*b + b + 7 = 2*q, -4*q = a*b - 16. Find p, given that -3 + p**2 + 5*p**2 + 2*p**3 - q = 0.
-2, 1
Let c be 39/15 - (-3)/(-5). Let k be (2 - 1)/(0 + c). Suppose 3/2*n**3 + 0*n + 0 + 3/2*n**4 + 1/2*n**2 + k*n**5 = 0. Calculate n.
-1, 0
Let l(j) = -j**3 - 18*j**2 - 16*j + 19. Suppose -4*v - 42 - 26 = 0. Let g be l(v). Factor 0 + 2*t**g - 2/3*t + 8/3*t**3.
2*t*(t + 1)*(4*t - 1)/3
Suppose -3/8*y**3 - 60*y + 117/2 + 129/8*y**2 = 0. What is y?
2, 39
Factor 60 - 12*w + 3/5*w**2.
3*(w - 10)**2/5
Factor -15*n**4 + 31*n - 14*n**3 - n + 25*n**2 - 10*n**4 - 21*n**3 + 3*n**5 + 2*n**5.
5*n*(n - 6)*(n - 1)*(n + 1)**2
What is b in -36/7 - 12/7*b + 3/7*b**2 = 0?
-2, 6
Suppose -3*o + 17 = 5. Determine v so that 3*v**4 + 13*v - 3*v - 40 - 18*v**o + 10*v - 5*v**3 + 70*v**2 = 0.
-2, -1, 2/3, 2
Let a(x) be the first derivative of 2*x**3/3 - 5*x**2 + 12*x - 42. Factor a(y).
2*(y - 3)*(y - 2)
Suppose -184/3*l + 0 + 176/3*l**2 - 38/3*l**3 - 2/3*l**4 = 0. Calculate l.
-23, 0, 2
Factor -62*x**2 - 55*x**2 + 165*x**2 - 49*x**2 - 70*x.
-x*(x + 70)
Let r be (4 + (-1920)/504)/(1/6). Suppose 1/7*k**2 + 16/7 - r*k = 0. Calculate k.
4
Suppose -10*y + 17*y**3 + 13*y - 2 - 6*y**2 - 18*y**3 + 2*y**4 + 4*y = 0. What is y?
-2, 1/2, 1
Let g = -15348/7 - -2199. Let o be (-2)/(3 + 69/(-9)). Determine y so that 27/7 + g*y + o*y**3 + 3*y**2 = 0.
-3, -1
Let i be 154/4165*-33 - 4/14. Let m = -1/170 - i. Factor 3/4*k**2 + m - 9/4*k.
3*(k - 2)*(k - 1)/4
Let k(q) = -6*q**3 + 235*q**2 + 2874 + 3*q**3 - 2*q**3 + 2241 - 1925*q. Let d(l) = 3*l**3 - 118*l**2 + 962*l - 2558. Let c(w) = 5*d(w) + 2*k(w). Factor c(s).
5*(s - 8)**3
Let x = 56 + -9. Factor 75*g + 3*g**2 - 8*g**3 - x*g + 6 + 11*g**2.
-2*(g - 3)*(g + 1)*(4*g + 1)
Let y(f) be the second derivative of 11*f**5/10 - f**4/18 - 34*f. F