- 4 + 11*k = 0?
2
Let f(j) be the second derivative of 5*j**5/4 - 65*j**4/12 - 5*j**3 - 22*j. Suppose f(w) = 0. Calculate w.
-2/5, 0, 3
Suppose 0 = j + 3*j + 5*g + 17, -5*j + g + 15 = 0. Suppose 2 - 8 = -j*c. Factor -3/5*p**4 - 12/5*p**c - 3*p**2 + 0 - 6/5*p.
-3*p*(p + 1)**2*(p + 2)/5
Let v(a) be the first derivative of -49*a**4/6 - 28*a**3/3 - 4*a**2 + 5*a - 1. Let h(f) be the first derivative of v(f). Solve h(x) = 0 for x.
-2/7
Let 3/2*n**5 + 0 + 3/2*n**4 - 3*n**3 + 0*n**2 + 0*n = 0. What is n?
-2, 0, 1
Let s(u) be the first derivative of 1/18*u**4 - u + 0*u**2 + 1/9*u**3 + 4. Let w(z) be the first derivative of s(z). Factor w(p).
2*p*(p + 1)/3
Let y = 26 - 230/9. Let b = -18/7 - -190/63. Determine g so that -14/9*g**3 + 14/9*g + y - b*g**2 = 0.
-1, -2/7, 1
Let f be 0/2 - (1 + 138). Let k = 697/5 + f. Factor -1/5*d**3 + 1/5*d + 2/5*d**2 - k.
-(d - 2)*(d - 1)*(d + 1)/5
Let w(f) be the first derivative of -2*f**5/5 + f**4 - 2*f**2 + 2*f - 11. Find t such that w(t) = 0.
-1, 1
Let k(c) be the third derivative of -1/4*c**6 - 2/3*c**3 + 0*c + 0 - 3*c**2 - 37/60*c**5 - 3/70*c**7 - 5/6*c**4. Suppose k(x) = 0. What is x?
-1, -2/3
Let s(y) be the second derivative of y**7/2520 + y**6/360 + y**5/120 - y**4/3 - 4*y. Let z(o) be the third derivative of s(o). Solve z(c) = 0 for c.
-1
Let g(u) = -32*u**4 + 17*u**2 - 17*u + 17. Let f(p) = 11*p**4 - 6*p**2 + 6*p - 6. Let l(x) = -17*f(x) - 6*g(x). Factor l(c).
5*c**4
Suppose m - 2*b - 2 = 0, 9*m - b - 10 = 4*m. Suppose 4*p = m*q, -5*p + p + 28 = 5*q. Factor -5*r**2 - p*r**2 - r**3 + 4*r**2 - 3*r - 1.
-(r + 1)**3
Let 28/11*p**3 - 4/11*p + 10/11*p**4 + 14/11*p**2 + 0 = 0. What is p?
-2, -1, 0, 1/5
Let b(y) be the first derivative of y**6/9 - 2*y**5/15 - y**4/3 + 4*y**3/9 + y**2/3 - 2*y/3 + 4. Factor b(o).
2*(o - 1)**3*(o + 1)**2/3
Let q = -34 + 28. Let b be (-11)/(-231)*q/(-2). Find s, given that 0 + b*s + 2/7*s**2 + 1/7*s**3 = 0.
-1, 0
Let y be 8/2 - (-6)/3. Let g = -4 + y. Factor f**2 + 3 - 6*f + 3*f**g + 0 - f**2.
3*(f - 1)**2
Factor 2/11*i**3 + 486/11*i - 1458/11 - 54/11*i**2.
2*(i - 9)**3/11
Suppose 4*z + 3/2 - 3/2*z**2 = 0. What is z?
-1/3, 3
Let y(v) = v - 1. Let f(q) = -2*q + 10. Let w be f(7). Let d(t) = 75*t**3 - 45*t**2 + 2*t + 4. Let p(n) = w*y(n) - d(n). Factor p(x).
-3*x*(5*x - 2)*(5*x - 1)
Let u(h) = 2*h + 17. Let f be u(-7). Factor 0*p**3 + f - 7*p**3 - 9*p + 4*p**3 + 9*p**2.
-3*(p - 1)**3
Let s(b) = b - 8. Let z be s(-13). Let i be (-8)/(-14) - (-12)/z. Suppose -1/3*u**5 + 0 - 2/3*u**4 + 1/3*u + 2/3*u**2 + i*u**3 = 0. What is u?
-1, 0, 1
Let o be (-6 + 3)/(-2 + 1). Factor y - o*y - 3*y**2 - y.
-3*y*(y + 1)
Let s(r) = 30*r**3 - 66*r**2 - 24*r + 56. Let f(v) = -6*v**3 + 13*v**2 + 5*v - 11. Let z(l) = -16*f(l) - 3*s(l). Factor z(w).
2*(w - 2)*(w + 1)*(3*w - 2)
Suppose 3 = -15*w + 33. Factor -2/7*x**4 + 2/7 + 0*x**w + 4/7*x**3 - 4/7*x.
-2*(x - 1)**3*(x + 1)/7
Let l(a) be the second derivative of a**6/180 - a**5/180 - a**4/72 + 5*a**2/2 - 2*a. Let i(c) be the first derivative of l(c). What is g in i(g) = 0?
-1/2, 0, 1
Let j(d) be the third derivative of d**5/12 + d**4/24 + 2*d**3/3 + d**2. Let u(o) = o**2 + 1. Let x(b) = j(b) - 4*u(b). Solve x(m) = 0 for m.
-1, 0
Let j = -5 - -35. Suppose 0 = 2*c + l, 10*l + j = 5*c + 5*l. Factor 9*m**3 - 3*m - c - 5*m + 2*m**2 - m**3.
2*(m - 1)*(m + 1)*(4*m + 1)
Let u = -71/3 - -24. Find b, given that 0 + u*b**5 + 1/3*b**3 + 0*b**2 + 2/3*b**4 + 0*b = 0.
-1, 0
Let l be -3 - (170/(-15) - -7). Factor 14/3*f + 2*f**2 + l.
2*(f + 2)*(3*f + 1)/3
Let g = 5 - 2. Suppose -p - 1 - 9 = -g*i, 3*i - 12 = 0. Factor -4*b - 1 + 10*b**4 + 4*b**3 - 8*b**2 + 1 - 2*b**p.
2*b*(b - 1)*(b + 1)*(5*b + 2)
Let c be (-9)/(-18)*(5 - 1). Let q be (-12)/(-9)*(-18)/(-20). Factor -2/5*w**c + 2/5*w**5 + 6/5*w**3 + 0*w + 0 - q*w**4.
2*w**2*(w - 1)**3/5
Let p(d) = -9*d**2 + 15*d - 6. Let y(i) = -8*i**2 + 14*i - 6. Let r be 4/(-6)*45/6. Let k(q) = r*p(q) + 6*y(q). Let k(u) = 0. What is u?
1, 2
Determine c so that 16/9*c**4 - 16/9*c + 4/9*c**5 + 0 - 16/9*c**2 + 4/3*c**3 = 0.
-2, -1, 0, 1
Suppose -3*l + 4*j - 8 = -5*l, 3*j = 0. Let t(n) be the second derivative of 1/4*n**l + 0*n**2 - 1/2*n**3 + 3/20*n**5 - 3*n - 1/10*n**6 + 0. Factor t(s).
-3*s*(s - 1)**2*(s + 1)
Let y be 3/(-5) - (-6 + 81/15). Let d(t) be the first derivative of -1/12*t**3 + 1/4*t + 2 + y*t**2. Find b, given that d(b) = 0.
-1, 1
Let a(v) be the third derivative of 0 - v**2 + 0*v + 0*v**3 + 1/96*v**4 - 1/240*v**5. Factor a(w).
-w*(w - 1)/4
Suppose -79 = -5*p - 79. Factor -r + p + 9/2*r**2.
r*(9*r - 2)/2
Let l be (-3648)/112 + 3/(-7). Let c be (-12)/6 + (-72)/l. Factor c + 0*a**2 - 4/11*a**3 + 4/11*a - 2/11*a**4.
-2*(a - 1)*(a + 1)**3/11
Let a(k) be the third derivative of k**6/40 - 7*k**5/20 + 15*k**4/8 - 9*k**3/2 + 7*k**2. Suppose a(b) = 0. What is b?
1, 3
Factor -2/5*h + 2/5 + 2/5*h**3 - 2/5*h**2.
2*(h - 1)**2*(h + 1)/5
Let l(v) = v**2 - 2*v - 1. Let z(a) = 4*a**2 - 2*a + 1. Let m(n) = 6*l(n) - 2*z(n). Suppose m(d) = 0. What is d?
-2
Let f(a) = 3*a**2 - 12*a + 9. Let c be f(3). Factor -z + 1/2*z**2 + 1/2*z**3 + c.
z*(z - 1)*(z + 2)/2
Factor 4*i**2 - 48*i**2 + 8*i**3 + 19*i + 4*i**3 - 16 + 29*i.
4*(i - 2)*(i - 1)*(3*i - 2)
Let x = 40/33 - 6/11. Find h such that 0*h**2 - 1/3*h**4 + 2/3*h + 1/3 - x*h**3 = 0.
-1, 1
Let l(r) be the third derivative of r**9/120960 + r**8/20160 + r**7/10080 + r**5/20 - r**2. Let z(t) be the third derivative of l(t). Let z(b) = 0. What is b?
-1, 0
Let l = 0 - -3. Let 39*p + 15*p**5 - 96*p**2 - 6*p**4 - 60*p**4 - 3 + 27*p**3 - l + 87*p**3 = 0. What is p?
2/5, 1
Solve -723/5*b**3 - 48/5*b**5 - 138*b**2 - 312/5*b**4 - 24/5 - 228/5*b = 0 for b.
-2, -1/4
Let j = -8/77 + 247/154. Factor 3/4 + 1/4*z**4 - j*z**3 + 3*z**2 - 5/2*z.
(z - 3)*(z - 1)**3/4
Let b = -3/454 - -917/1362. Factor -q**2 + 0 + q**4 + 2/3*q - b*q**3.
q*(q - 1)*(q + 1)*(3*q - 2)/3
Let i(d) be the second derivative of -1/10*d**6 + 1/14*d**7 - 3/20*d**5 + 4*d + 0 + 1/4*d**4 + 0*d**2 + 0*d**3. Factor i(l).
3*l**2*(l - 1)**2*(l + 1)
Let d(s) = -4 - 43*s + 5*s - 8*s - 42*s**2. Let h(n) = 14*n**2 + 15*n + 1. Let l(r) = -3*d(r) - 8*h(r). Let l(y) = 0. Calculate y.
-1, -2/7
Let a = -543/4 - -136. Let j be (-4)/(-18) - (-2)/(-9). Factor 0 - a*m**5 + j*m**3 + 1/4*m - 1/2*m**4 + 1/2*m**2.
-m*(m - 1)*(m + 1)**3/4
Suppose -4*v = -4*f + 24, -6*f + 16 = -2*f. Let k be -11 - -12 - v/(-6). Solve 1/3*m**2 - k + 1/3*m = 0.
-2, 1
Let s(u) be the third derivative of -u**7/2520 + u**5/120 - u**4/12 + 3*u**2. Let i(x) be the second derivative of s(x). Solve i(y) = 0 for y.
-1, 1
Let j(i) be the first derivative of -2*i**5/35 + 10*i**3/21 - 8*i/7 - 18. Solve j(a) = 0 for a.
-2, -1, 1, 2
Factor 0 - 1/2*b**2 - b.
-b*(b + 2)/2
Let d be 4/18 - (-100)/36. Factor 0*g**3 - 2*g**d + 3*g**4 + 5*g**3 - 6*g**2.
3*g**2*(g - 1)*(g + 2)
Let x = 19 - 17. Suppose 2*r = -x + 6. Find l such that 2/5*l + 0 + 3/5*l**r = 0.
-2/3, 0
Let o(q) = q + 2. Let g be o(0). Find j, given that -6*j**2 + 3*j**3 + 0*j**3 + j**2 + 3*j - j**g = 0.
0, 1
Let f(t) be the second derivative of -7/80*t**5 - 1/2*t**2 + 3*t + 19/48*t**4 + 0 - 1/3*t**3. Find r, given that f(r) = 0.
-2/7, 1, 2
Let z(c) = 5*c**2 - 3*c + 1. Let b(k) = -21*k**2 + 11*k - 3. Let m(o) = 6*b(o) + 26*z(o). Solve m(f) = 0.
1, 2
Let s(n) be the third derivative of 1/5*n**3 - 1/100*n**5 + 1/40*n**4 + 7*n**2 + 0 + 0*n. Factor s(b).
-3*(b - 2)*(b + 1)/5
Factor 12/7*p**5 + 48/7*p**3 - 40/7*p**4 + 4/7*p + 0 - 24/7*p**2.
4*p*(p - 1)**3*(3*p - 1)/7
Suppose a = 4, 5*a = 4*y + 4*a - 8. Suppose b = 4*b - 6. Find t such that -5*t**4 - y*t**b + 7*t**3 + 2*t**2 - t**2 = 0.
0, 2/5, 1
Let q(a) be the second derivative of 0*a**3 + 0*a**2 - 1/20*a**5 + 1/12*a**4 + 0 - a. Factor q(x).
-x**2*(x - 1)
Let b(u) be the second derivative of -1/3*u**3 + 0 - 3*u + 0*u**2 + 0*u**4 + 1/10*u**5. Find z, given that b(z) = 0.
-1, 0, 1
Factor -6*l**2 + 5*l**2 - 3*l**3 - 4*l**2 - 2 - 9*l - 5*l**2.
-(l + 1)*(l + 2)*(3*l + 1)
Determine a, given that -4*a - 1/3*a**5 + 0*a**4 - 8/3 + 2/3*a**2 + 7/3*a**3 = 0.
-2, -1, 2
Let r be ((-2)/16)/(7/(-56)*2). Let f(y) be the first derivative of 1/8*y**2 - 1/16*y**4 - 1/6*y**3 + r*y - 1. Find j such that f(j) = 0.
-2, -1, 1
Let h be (3 - 30/18)/(4/6). Let z(t) be the first derivative of -1/2*t**3 - 3*t - h - 9/4*t**2. Solve z(i) = 0 fo