4/10 + ((-35)/25 - -2). What is w in -3*w**2 + 4*w**x + 3*w**2 + 4*w**2 - 4*w + 1 - g = 0?
-1, 1
Suppose -3*m = d - 5, -m - 6*d = -3*d + 1. Suppose 3*i + 3*c + m*c - 27 = 0, -12 = -4*c. Solve s + i*s**2 - 2*s - 1 + 1 = 0.
0, 1/4
Suppose -y - g + 11 = -0*y, 5*g = -2*y + 25. Let r = -5 + y. Factor 0*q**3 + q**3 - 3*q + r*q + 3*q**2.
q*(q + 1)*(q + 2)
Let s(g) = -6*g + 68. Let c be s(11). Factor -3*q**2 - 16*q + 32 - 6*q**2 - 2*q**2 + 4*q**3 + 3*q**c.
4*(q - 2)**2*(q + 2)
Let c(z) = 10*z**4 - 20*z**2 + 80*z - 68. Let q(n) = -12*n**4 - n**3 + 19*n**2 - 80*n + 69. Let m(t) = 5*c(t) + 4*q(t). Factor m(a).
2*(a - 2)**3*(a + 4)
Let y(k) be the third derivative of 2*k**2 - 7/6*k**4 - 44 - 1/30*k**5 + 0*k**3 + 0*k. Factor y(o).
-2*o*(o + 14)
Let p(h) be the third derivative of h**7/70 - h**6/10 + h**5/10 + h**4/2 - 3*h**3/2 - 2*h**2 - 73*h. Factor p(v).
3*(v - 3)*(v - 1)**2*(v + 1)
Let v(l) = l - 8*l + l - l**2 - l + 4. Let o be v(-7). Determine b, given that -o - 30*b - 2*b**3 - 1 + 10 + 14*b**2 + 13 = 0.
1, 3
Factor -1/6*z**3 + z**2 + 21/2*z + 18.
-(z - 12)*(z + 3)**2/6
Suppose -2*u + 2*b + 24 = 0, -u = 4*b - 10 - 17. Let y be u/6*(-20)/(-25). Factor -7*p**4 + 2*p - 10*p**2 + y*p + 8*p**3 + 5*p**4.
-2*p*(p - 2)*(p - 1)**2
Let o(v) be the first derivative of -v**5/20 + 5*v**4/16 - 2*v**3/3 + v**2/2 - 30. Determine k so that o(k) = 0.
0, 1, 2
Let l(x) = -x**3 - 2*x**2 - 4*x - 3. Let j be l(-2). Let h = 10 - j. Let -2*k**2 - 4*k**2 - 3*k**5 - 6*k**3 + 14*k**4 + 15*k**h + 2*k = 0. What is k?
-1, 0, 1/3, 1/2
Let i be ((462/21)/110)/(14/(-15) + 1). Suppose -2/13*z**4 + 0*z + 0 - 8/13*z**i - 6/13*z**2 = 0. What is z?
-3, -1, 0
Suppose -42*k = -187*k + 758*k - 1226. Factor -1/2*d**2 + 2*d - k.
-(d - 2)**2/2
Let a(x) be the third derivative of x**8/84 - 2*x**7/15 + 3*x**6/10 + 7*x**5/15 - 5*x**4/3 - 14*x**2 + 23*x. Determine o, given that a(o) = 0.
-1, 0, 1, 2, 5
Let d(k) = -k**3 - 2. Let h be d(2). Let m be (70/6)/(-7)*12/h. Determine a so that 0 - 3/5*a**m - 6/5*a = 0.
-2, 0
Suppose t - 3 = -3*r + 3, -4*t = 0. Let q(g) be the second derivative of 1/6*g**4 + 0 + g + 1/3*g**3 - r*g**2. Factor q(v).
2*(v - 1)*(v + 2)
Let s(l) be the second derivative of 0 + 2*l + 0*l**4 + 2/5*l**5 - 14/15*l**6 + 0*l**3 + 0*l**2. Determine k, given that s(k) = 0.
0, 2/7
Let y(g) be the third derivative of -g**8/11760 - g**7/1176 - g**6/315 - g**5/210 - 25*g**3/6 + 22*g**2. Let x(j) be the first derivative of y(j). Factor x(u).
-u*(u + 1)*(u + 2)**2/7
Suppose 4*r = -2*r + 498. Let h = r - 79. Suppose -10/3*y**3 - 2/3*y - 32/9*y**2 - 8/9*y**h + 4/9 = 0. Calculate y.
-2, -1, 1/4
Let a(v) be the third derivative of -v**10/75600 + v**9/120960 - v**5/60 - 13*v**2. Let b(g) be the third derivative of a(g). Factor b(y).
-y**3*(4*y - 1)/2
Let q be 33 - 36 - (-10)/3. Let f(r) be the first derivative of 2*r - q*r**3 - 6 - 1/2*r**2. Factor f(v).
-(v - 1)*(v + 2)
Factor 2/15*z**2 - 16/15 + 14/15*z.
2*(z - 1)*(z + 8)/15
Let b(n) = 11*n**2 + n - 1. Let l be b(1). Suppose -5*v = g - l, v = -g - 3*g - 13. Factor 5 + 0*z**2 + 3*z - 3*z**3 - 8 + v*z**2.
-3*(z - 1)**2*(z + 1)
Factor 4/5*d - 3/5*d**3 - 4/5*d**2 + 0 + 1/5*d**5 + 2/5*d**4.
d*(d - 1)**2*(d + 2)**2/5
Solve -2 + 2/3*l**2 - 4/3*l = 0.
-1, 3
Suppose -8 = -5*w + 2. Suppose 21*u - 508 = -106*u. Factor -18/5*f**w - 12/5*f - 3/5*f**u - 3/5 - 12/5*f**3.
-3*(f + 1)**4/5
Let c(o) be the second derivative of -o**6/135 - o**5/30 + o**4/54 + o**3/9 + 140*o. Let c(j) = 0. What is j?
-3, -1, 0, 1
Let 4/7*r**2 + 1024/7 + 128/7*r = 0. Calculate r.
-16
Let k = -1086/301 + 192/43. Factor 2/7*l**3 + 0*l**2 - 4/7 - k*l.
2*(l - 2)*(l + 1)**2/7
Let -4*f - 6*f**4 - f**3 - 2*f**3 + 0*f**4 - 1 - 6*f**2 - f**3 + 5*f**4 = 0. Calculate f.
-1
Suppose 7 = d - 2*u, 5*u = -d + 4*d - 19. Let y be ((-9)/(-3) - d)*-1. Let 2*p**2 + p**2 + 0 - 3 + y = 0. Calculate p.
-1, 1
Let p(c) be the second derivative of c**4/36 - 5*c**3/18 - c**2 + 2*c. Factor p(x).
(x - 6)*(x + 1)/3
Let r(b) = -4*b**2 + 65*b - 13. Let u be r(16). Suppose -l - 2*g = -0*g + 8, 0 = -4*l - u*g - 12. Find y such that 1/2*y**4 + 0*y + 1/2*y**3 - y**2 + l = 0.
-2, 0, 1
Let p be 4/(-34)*22/(-176)*34. Suppose 1/6*v**3 + p*v**2 - 1/2*v**4 - 1/3*v + 0 + 1/6*v**5 = 0. Calculate v.
-1, 0, 1, 2
Let p = 3240575220 - 19304106541330/5957. Let j = p - -6/851. Factor 0 - 40/7*s**2 - 2*s**4 + j*s**3 - 16/7*s.
-2*s*(s - 2)**2*(7*s + 2)/7
Let k(u) = u**3 - u**2 + 4*u + 19. Let g be k(0). Factor 2*c**3 + c**3 + g*c + c**3 - 8*c**2 - 15*c.
4*c*(c - 1)**2
Let j be ((-3360)/(-150) - 23) + (-26)/(-10). Let 32/13 - 24/13*y + 2/13*y**3 + 0*y**j = 0. Calculate y.
-4, 2
Let r be (-33)/55 - (-166)/10. What is h in -7*h**5 - 50*h**3 + 8*h**3 - 36*h**2 + 5*h**5 - r*h**4 = 0?
-3, -2, 0
Factor -83 + 12*j + 5*j**2 - j**2 + 31 + 36*j.
4*(j - 1)*(j + 13)
Let l(u) be the third derivative of -14*u**2 - 2/3*u**4 + 64/3*u**3 + 0 + 1/120*u**5 + 0*u. Let l(j) = 0. What is j?
16
Factor -3217*c**2 + 3218*c**2 - 2*c + 26*c + 23.
(c + 1)*(c + 23)
Factor 442/3*i**3 - 810448/3 + 10804*i**2 + 777592/3*i + 2/3*i**4.
2*(i - 1)*(i + 74)**3/3
Let l = 44 - 40. Let c be 34*2/(-18) + l. Let 0 - c*m + 2/9*m**2 = 0. What is m?
0, 1
Let k be (-4 - 2*-4) + 198 + -2. Let w = k + -200. Factor -1/6*u**2 + w + 0*u.
-u**2/6
Factor 2/3*y**3 + 2/3 - 1/2*y**2 - 1/6*y**4 - 2/3*y.
-(y - 2)**2*(y - 1)*(y + 1)/6
Let p(u) = -8*u**2 - 4*u. Let k(b) = -4*b**2 - b. Let r(m) = -15*k(m) + 6*p(m). Determine f so that r(f) = 0.
0, 3/4
Let d(b) be the second derivative of 26/15*b**3 + 8/15*b**4 + 32/105*b**7 + 16/75*b**6 + 0 + 21*b - 47/25*b**5 + 4/5*b**2. Solve d(f) = 0.
-2, -1/4, 1
Let f(a) be the third derivative of -2/135*a**6 + 0*a**3 + 0*a**4 - 1/135*a**5 - 2*a**2 - 2/189*a**7 + 0 - 1/378*a**8 + 0*a. Find i such that f(i) = 0.
-1, -1/2, 0
Let i(t) be the first derivative of -3*t**5/20 - 15*t**4/8 + 9*t**3 - 57*t**2/4 + 39*t/4 - 142. Determine g so that i(g) = 0.
-13, 1
Let s(u) = u**2 - 4*u - 9. Let r(v) = -3*v. Let n(d) = 12*r(d) - 3*s(d). What is b in n(b) = 0?
-9, 1
Suppose -79*y - 26 = -92*y. Factor -3 - 3/2*f**y - 9/2*f.
-3*(f + 1)*(f + 2)/2
Let l(f) be the second derivative of -19*f + 1/9*f**3 + 0 + 1/60*f**6 + 11/120*f**5 + 1/6*f**4 + 0*f**2. Solve l(i) = 0 for i.
-2, -1, -2/3, 0
Let s(g) be the second derivative of -g**5/60 + 19*g**4/12 - 37*g**3/6 + 55*g**2/6 + 93*g. Factor s(h).
-(h - 55)*(h - 1)**2/3
Let l(s) be the third derivative of s**7/2520 - s**6/1080 + s**3/6 + 4*s**2. Let v(r) be the first derivative of l(r). What is z in v(z) = 0?
0, 1
Let m(x) = -x**2 - x. Let p be m(-1). Suppose p = -3*y - 0*y. Factor 0*c**2 + 0*c**2 - c + y*c - c**2.
-c*(c + 1)
Suppose 11*i - 3*i = 24. Suppose -l**4 + 0*l - 3*l**3 + 3*l**i + 2*l**3 + l**2 - 2*l = 0. What is l?
-1, 0, 1, 2
Find n, given that -50*n**3 + 21*n**3 - 2*n**5 - 34*n - 5*n**3 - 40*n**4 - 74*n**3 - 104*n**2 = 0.
-17, -1, 0
Factor 13*b**5 + 33*b**3 + 14*b**5 + 12*b**4 - 20*b**2 - 25*b**5 - 27*b**3.
2*b**2*(b - 1)*(b + 2)*(b + 5)
Let l(f) be the second derivative of -2*f**7/7 + 94*f**6/15 - 176*f**5/5 - 64*f**4/3 - 8*f - 1. Factor l(u).
-4*u**2*(u - 8)**2*(3*u + 1)
Suppose 2*d - 4*x + 308 = 316, 4*d = 5*x + 10. Let -7/2*y + d - 1/2*y**2 = 0. What is y?
-7, 0
Let q be (-4 - -2) + (2 - (-138)/351). Let r = 8/13 - q. Factor 2/3*d**2 - 2/3*d - r*d**3 + 2/9.
-2*(d - 1)**3/9
Let b(q) be the second derivative of q**5/60 + q**4/4 - 2*q**3/3 - 10*q**2/3 + 8*q. Let b(k) = 0. What is k?
-10, -1, 2
Suppose -u - 2*m = 2*u - 10, 4*u + 5*m - 18 = 0. Suppose -u*v + 0 + 2 = 0, 5*b - 12 = -2*v. Factor -32*g - 6 - 20*g**b - 11 + 5.
-4*(g + 1)*(5*g + 3)
Let b(t) be the first derivative of -7*t**3/3 - 19*t**2/2 + 6*t + 109. Let b(d) = 0. Calculate d.
-3, 2/7
Let w(c) be the second derivative of 4*c**6/5 - 147*c**5/20 + 39*c**4/2 - 9*c**3/2 + 228*c. Solve w(x) = 0.
0, 1/8, 3
Let p(q) be the third derivative of q**8/336 - 2*q**7/105 + q**6/40 - 2*q**2 + 47*q. Factor p(o).
o**3*(o - 3)*(o - 1)
Let x(i) be the first derivative of i**5/150 - i**4/30 + 4*i**2/15 + i - 15. Let v(z) be the first derivative of x(z). Find r such that v(r) = 0.
-1, 2
Factor 1/4*c**2 + 13/4 - 7/2*c.
(c - 13)*(c - 1)/4
Let j(d) = 6*d**2 + 969*d - 16398. Let q(r) = -r**2 - 194*r + 3279. Let v(z) = -4*j(z) - 21*q(z). Find l, given that v(l) = 0.
33
Factor 8 + 3*j