r*f**2 + 0*f - 16/13*f**3 = 0.
-1, 3
Let o be (-6)/22*8/(-144). Let x(g) be the second derivative of 9/11*g**2 + 2/11*g**3 + o*g**4 + 0 + 3*g. Factor x(b).
2*(b + 3)**2/11
Let q(i) be the second derivative of -1/10*i**5 + 5/12*i**3 - 1/84*i**7 + 0 - 11*i + 1/15*i**6 - 1/12*i**4 - 1/2*i**2. Factor q(r).
-(r - 2)*(r - 1)**3*(r + 1)/2
Let c = 55/232 - 54/29. Let g = c - -81/40. Factor -2/5*i**4 - 4/5*i**3 + 4/5*i + g + 0*i**2.
-2*(i - 1)*(i + 1)**3/5
Let h(l) = l**3 + 4*l**2 - 5*l + 2. Let b be h(-5). Let s = -39 - -50. Let 11 + c**3 - s + b*c - 3*c**2 = 0. Calculate c.
0, 1, 2
Suppose 2*m + 3*f + 12 = 6*m, 2*f + 8 = -3*m. Determine z, given that -2*z - 1/2*z**3 + m - 2*z**2 = 0.
-2, 0
Let v = 6814 - 6810. Factor 0 + 1/4*h**5 + 0*h - 3/2*h**2 + 1/4*h**3 + h**v.
h**2*(h - 1)*(h + 2)*(h + 3)/4
Let m be (-65)/5 - (47 - 66). Suppose 0 + 0*o + 2*o**2 - m*o**3 - 7/2*o**4 = 0. What is o?
-2, 0, 2/7
Suppose 1/5*r**4 + 0*r + 0 - r**3 - 14/5*r**2 = 0. What is r?
-2, 0, 7
Let j(g) be the second derivative of -g**7/525 - g**6/150 + g**5/50 - 9*g**2/2 + 11*g. Let a(o) be the first derivative of j(o). Factor a(i).
-2*i**2*(i - 1)*(i + 3)/5
Let l(h) be the second derivative of -h**6/260 - 7*h**5/390 - 5*h**4/156 - h**3/39 + 4*h**2 - 9*h. Let c(a) be the first derivative of l(a). Factor c(k).
-2*(k + 1)**2*(3*k + 1)/13
Let w(x) be the second derivative of x**5/40 + x**4/12 - x**3/12 - x**2/2 + 420*x. Factor w(p).
(p - 1)*(p + 1)*(p + 2)/2
Let t(u) be the second derivative of -u**6/105 - 3*u**5/35 - 4*u**4/21 + 2*u**3/7 + 9*u**2/7 + u + 13. What is g in t(g) = 0?
-3, -1, 1
Let b(q) = 3*q - 13. Let g = -28 - -33. Let h be b(g). Solve 2*c**2 + 2*c**2 - 2*c**2 + h*c**2 + 4*c**3 = 0 for c.
-1, 0
Let f(q) be the third derivative of q**5/420 + q**4/21 + 70*q**2. Determine k so that f(k) = 0.
-8, 0
Let v(g) = g + 12. Let p be v(-8). Suppose j**2 + 5 - 2 - p*j**2 = 0. What is j?
-1, 1
Let g(h) be the third derivative of 14*h**2 + 0 - 16/21*h**3 + 0*h + 2/21*h**4 - 1/210*h**5. Factor g(x).
-2*(x - 4)**2/7
Let l be (1/104)/(48/192). Let b(r) be the first derivative of -l*r**4 - 2/39*r**3 + 1/13*r**2 + 0*r - 1 + 2/65*r**5. Let b(y) = 0. What is y?
-1, 0, 1
Let w be 202/210 + (-93)/217. Let n(z) be the third derivative of -7*z**2 + 0*z - 4/15*z**4 - 1/75*z**6 + 2/25*z**5 + w*z**3 + 0 + 1/1050*z**7. Factor n(b).
(b - 2)**4/5
Suppose 20 - 20 = -6*x. Let o(g) be the third derivative of 1/120*g**6 + 0 - 6*g**2 - 1/30*g**5 + x*g + 0*g**4 + 0*g**3. Suppose o(s) = 0. Calculate s.
0, 2
Let n be (-93)/(-33) - 1 - 2/(-11). Suppose -n = 5*s + 5*k - 7, 5*k = -10. Find g such that -7/3*g - 1/3*g**4 - 3*g**2 - 2/3 - 5/3*g**s = 0.
-2, -1
Let k(t) = -t**2 + 8*t + 13. Let a be k(9). Suppose -a*u = -10*u + 12. Suppose -4*b + 2*b**2 + b**2 - b**u + 2 + 0*b**2 = 0. Calculate b.
1
Let v = 157/15640 + -2/1173. Let f(s) be the third derivative of 0*s**5 + 1/60*s**7 - v*s**6 + 0 + 0*s + 0*s**3 + 0*s**4 + 5*s**2. Factor f(r).
r**3*(7*r - 2)/2
Let k(w) = w**2 + 2. Let g(h) = 8*h**2 - 116*h + 1694. Let t(d) = g(d) - 6*k(d). What is u in t(u) = 0?
29
Let h be 63/35 + -2*9/(-90). Suppose 16/7 + 16/7*a + 4/7*a**h = 0. Calculate a.
-2
Let y = 150001/100 - 1500. Let x(k) be the second derivative of 3*k + 0 + y*k**5 + 0*k**2 + 1/30*k**4 + 1/30*k**3. Solve x(j) = 0 for j.
-1, 0
Let z = -26690347/7190106 - 3/108941. Let l = 26/33 - z. Solve -l*r**2 + 11/2*r - 1 = 0 for r.
2/9, 1
Let b(p) = 3*p**3 + 68*p**2 - 22*p + 26. Let o be b(-23). Let f(i) be the first derivative of 0*i - 3/4*i**4 + 3 + 0*i**2 + 0*i**o - 3/5*i**5. Factor f(y).
-3*y**3*(y + 1)
Let a = 51 - 46. Let s(c) = -4*c**2 - 1 - 2 + 5*c + 2*c**2. Let k(p) = -p**2 + 3*p - 2. Let o(b) = a*k(b) - 3*s(b). Find v such that o(v) = 0.
-1, 1
Let z(n) = 808*n**2 + 627*n + 18. Let x(f) = 810*f**2 + 627*f + 18. Let g(d) = -2*x(d) + 3*z(d). Factor g(l).
3*(4*l + 3)*(67*l + 2)
Let j = 66231647/328 - 201924. Let a = -1/328 + j. Factor -5/4*c - 1/2 + a*c**2.
(c - 1)*(7*c + 2)/4
Let v(y) be the second derivative of y**5/4 - 10*y**4/3 + 25*y**3/2 - 34*y - 2. Find r such that v(r) = 0.
0, 3, 5
Let h(u) be the third derivative of u**6/180 + u**5/15 - u**4/36 - 10*u**3/3 - 241*u**2. Find z such that h(z) = 0.
-5, -3, 2
Determine g, given that 46*g**2 - 30 - 4*g - 20*g**2 - 24*g**2 = 0.
-3, 5
Let a(c) = -8*c. Let k be a(0). Let o(y) be the second derivative of 1/40*y**5 + 4*y + 0*y**2 + k*y**3 + 0 - 1/12*y**4. Factor o(s).
s**2*(s - 2)/2
Let a = -26/483 - -2062/2415. Find k such that 2/5 + 2/5*k**2 + a*k = 0.
-1
Let o(d) be the first derivative of d**7/1960 - d**6/140 + 3*d**5/70 - d**4/7 + 11*d**3/3 + 34. Let b(w) be the third derivative of o(w). Factor b(c).
3*(c - 2)**3/7
Suppose -44/5*d + 0 - 1/5*d**2 = 0. What is d?
-44, 0
Find o, given that -8/3*o**4 + 8/3*o**2 + 0*o + 12*o**3 + 0 - 12*o**5 = 0.
-1, -2/9, 0, 1
Let q(z) be the first derivative of 7*z**6/540 - z**5/90 + 8*z**3/3 + 4. Let o(w) be the third derivative of q(w). Factor o(i).
2*i*(7*i - 2)/3
Let g(y) be the first derivative of -y**6/25 + y**5/25 - 3*y + 10. Let w(i) be the first derivative of g(i). Determine h so that w(h) = 0.
0, 2/3
Let s(l) = -l**3 - 3*l**2 + 3*l - 1. Let k(m) = m**2 - 6*m + 5. Let h be k(3). Let b be s(h). Factor -13*y + y + 19*y**3 - 15*y**b + 4 + 4.
4*(y - 1)**2*(y + 2)
Suppose 0 = 7*k - 0*k - 14. Let g = 5 + -2. Let 6*n - 2*n**2 + g*n**2 - 4*n**k = 0. Calculate n.
0, 2
Factor -10/3*m**2 - 332/3*m - 22.
-2*(m + 33)*(5*m + 1)/3
Let b(j) = 2*j**3 - 2*j**2 + 2*j - 1. Let a be b(1). Suppose -3*u + 5 = -a. Let -4*z**u + z**2 + 1 + 2*z**2 = 0. Calculate z.
-1, 1
Suppose -3*m + 18 = -3*n + 3, 3*m + n - 3 = 0. Let 8*j**2 - 5*j**2 - j**m - 3*j**2 + 3*j = 0. What is j?
0, 3
Let r be 8/68 + (-224)/2482. Let q = 79/219 - r. Solve -y**2 + 0 - 1/3*y**4 + y**3 + q*y = 0 for y.
0, 1
Suppose 0 = -66*r + 122*r. Factor -4/5*b + r - 1/5*b**2.
-b*(b + 4)/5
Let k(p) = p**3 - 10*p**2 - 2*p + 9. Let m be k(5). Let i = m - -379/3. Suppose 0*l - 1/3*l**2 + i*l**3 + 0 = 0. What is l?
0, 1
Let s(t) be the first derivative of -t**4/10 + 14*t**3/15 - 12*t**2/5 + 80. Factor s(o).
-2*o*(o - 4)*(o - 3)/5
Solve 0*l**2 + 1/2*l**3 + 1/2*l**4 + 0 + 0*l = 0 for l.
-1, 0
Let s(o) be the third derivative of -o**6/30 - 53*o**5/15 - 225*o**4/2 + 486*o**3 + 157*o**2. Factor s(t).
-4*(t - 1)*(t + 27)**2
Suppose 0 = 2*l + y - 230, 4*l + 2*y - 6*y = 460. Factor 526 + 33*r + l + 35 + 4*r**2 - 137*r.
4*(r - 13)**2
Let o(t) be the third derivative of -343*t**6/360 - 49*t**5/15 - 14*t**4/3 - 32*t**3/9 - 6*t**2 - 23*t. Solve o(w) = 0.
-4/7
Let l(z) = -5*z**3 - 14*z**2 + 42*z**2 - 61*z + 27*z**2 - 135 - 14*z. Let u(b) = -b**2 + 1. Let y(f) = l(f) + 10*u(f). Find i such that y(i) = 0.
-1, 5
Let c(x) be the first derivative of -3 - 2/33*x**3 + 1/22*x**4 - 1/11*x**2 + 2/11*x. Factor c(b).
2*(b - 1)**2*(b + 1)/11
Solve 3264/5*q + 348*q**2 - 321/5*q**4 - 21/5*q**5 + 768/5 - 1056/5*q**3 = 0.
-8, -1, -2/7, 2
Let z be 0/(-21 + 17 + 5). Find a such that z - 6/11*a + 1/11*a**3 + 1/11*a**2 = 0.
-3, 0, 2
Let b(o) be the third derivative of 2*o**7/105 + 31*o**6/60 + 47*o**5/10 + 161*o**4/12 + 49*o**3/3 + 88*o**2. Factor b(g).
2*(g + 1)*(g + 7)**2*(2*g + 1)
Let b(w) be the first derivative of 0*w**2 + 8/3*w - 2/9*w**3 + 16. Factor b(s).
-2*(s - 2)*(s + 2)/3
Let m(k) be the second derivative of -5*k**7/252 + 29*k**6/90 + 29*k**5/120 - 29*k**4/36 - 2*k**3/3 - 245*k. Find t such that m(t) = 0.
-1, -2/5, 0, 1, 12
Let f(d) be the third derivative of 9/32*d**6 + 125/64*d**4 + 28*d**2 + 0*d + 0 + 1/896*d**8 + 0*d**3 + 5/4*d**5 + 1/35*d**7. Determine g so that f(g) = 0.
-5, -1, 0
Let w(o) = 3*o - 16. Let q be w(10). What is g in q*g**4 + 10*g + g**4 - 3*g**3 + 15*g**2 - 37*g**3 = 0?
-1/3, 0, 1, 2
Suppose 0*v - 5 = -5*w - 2*v, -2*v - 22 = -4*w. Suppose -31*x**2 + 0 + 28*x**2 - 3*x**w + 0 = 0. Calculate x.
-1, 0
Let a(l) be the first derivative of 3*l**5/5 + 15*l**4/4 + 4*l**3 + 56. Determine y so that a(y) = 0.
-4, -1, 0
Let v be (3/9*-1)/(441/(-81) - -5). Solve v*b**2 - 3*b + 9/4 = 0 for b.
1, 3
Let v(f) be the second derivative of f**5/110 - 25*f**4/66 + 64*f**3/11 - 468*f**2/11 + 761*f. Factor v(r).
2*(r - 13)*(r - 6)**2/11
Let h(n) be the second derivative of 4*n - 1/70*n**5 + 0 + 1/42*n**4 - 4/7*n**2 + 4/21*n**3. Let h(y) = 0. What is y?
-2, 1, 