5*k**2 - 6*k**4 = 0.
-1, 0, 1
Let x = -12 + 17. Let -z**3 - z**4 - z**5 + 2*z**5 + 6*z**2 - x*z**2 = 0. Calculate z.
-1, 0, 1
Let h(l) be the first derivative of 0*l**2 + 1/10*l**5 - 3 - 1/3*l**3 + 0*l**4 + 2*l. Let b(o) be the first derivative of h(o). Suppose b(c) = 0. What is c?
-1, 0, 1
Let p(a) = -a**4 + 15*a**3 + 12*a**2 - 28*a - 24. Let y(o) = -8*o**4 + 104*o**3 + 84*o**2 - 196*o - 168. Let d(r) = -20*p(r) + 3*y(r). Let d(i) = 0. What is i?
-1, 2, 3
Let c = 185 - 185. Factor -8/3*f**2 - 8/3*f - 2/3*f**3 + c.
-2*f*(f + 2)**2/3
Let r be (-2)/2*-2 - -1. Let x be (-5)/(-9) - 1/r. Find o such that 8/9*o**2 + 10/9*o + x*o**3 + 4/9 = 0.
-2, -1
Let k(q) = -q**3 + 2*q**2 + 2*q - 2. Let a be k(3). Let b = 7 + a. Determine m so that -3/5*m**3 - 1/5*m**b + 0 - 3/5*m**4 - 1/5*m**5 + 0*m = 0.
-1, 0
Let u(i) be the first derivative of -i**4/78 - i**3/39 - 3*i + 1. Let f(r) be the first derivative of u(r). Solve f(l) = 0.
-1, 0
Find a such that 10*a**2 - 3*a - 4*a**3 - 55*a**4 + a + 39*a**4 = 0.
-1, 0, 1/4, 1/2
Let g(m) be the third derivative of m**6/120 - m**5/30 - m**4/24 - 2*m**3/3 + m**2. Let a be g(3). Determine t so that 3/4*t**a + 1/4 + 1/4*t**3 + 3/4*t = 0.
-1
Let k = -10 + 10. Suppose k = -3*h + 8 + 1. Suppose 0*j**2 + 0*j - j**5 - 4/3*j**4 + 0 - 1/3*j**h = 0. What is j?
-1, -1/3, 0
Let l(i) be the first derivative of -i**4/2 - 2*i**3 - i**2 + 2*i + 2. Let n(x) = 2*x**3 + 7*x**2 + 3*x - 2. Let h(d) = 5*l(d) + 4*n(d). Factor h(o).
-2*(o - 1)*(o + 1)**2
Let h(l) be the first derivative of 2*l**6/3 - 16*l**5/5 + 3*l**4 + 9. Factor h(j).
4*j**3*(j - 3)*(j - 1)
Let -20/3*p - 5/6*p**2 - 40/3 = 0. Calculate p.
-4
Factor -8*d**2 + 3*d**5 + 21*d**4 - 4*d**2 + 24*d**3 - 36*d**4.
3*d**2*(d - 2)**2*(d - 1)
Factor -30*x + 12 - 87 + 2*x**2 - 5*x**2.
-3*(x + 5)**2
Factor -1/5*r**4 + 2/5 + 3/5*r**3 - 3/5*r - 1/5*r**2.
-(r - 2)*(r - 1)**2*(r + 1)/5
Let z(j) = -8*j**4 - 27*j**3 - 63*j**2 - 43*j + 3. Let p(w) = w**4 - w**3 + w**2 + w - 1. Let s(c) = 3*p(c) + z(c). Suppose s(h) = 0. Calculate h.
-2, 0
Suppose -15 = -3*x + 3*t, -4*x - 2*t + 16 = -4. Let i be (5/2)/x*8. What is s in -119/4*s**4 + 23/4*s**2 + 67/4*s**3 - 1 - i*s + 49/4*s**5 = 0?
-2/7, 1
Let v(j) be the first derivative of -j**6/3 - 18*j**5/5 - 16*j**4 - 112*j**3/3 - 48*j**2 - 32*j + 34. Determine o so that v(o) = 0.
-2, -1
Let i = 4 - 0. Suppose 0 = -i*f - 12, 0*v - 3*v + 5*f = -21. Factor 1/2 + 3/4*k + 1/4*k**v.
(k + 1)*(k + 2)/4
Let x be 4*(-2)/(-4) - -4. Suppose x*v = 3*v + 4*i + 9, 2*v - 6 = -3*i. Factor -11*j**3 - 2*j**2 - 13*j**v - 6*j**2 - 18*j**4.
-2*j**2*(3*j + 2)**2
Let t(z) = z**2 + 5*z - 4. Let b be t(-6). Let p = 4 - b. Let 0*r**4 + 15*r**p + 2*r**4 - 5*r**2 + 8*r**3 + 4*r = 0. Calculate r.
-2, -1, 0
Let o(t) be the first derivative of 0*t + 0*t**3 - 7/3*t**6 - 4/5*t**5 + 0*t**4 - 1 + 0*t**2. Suppose o(a) = 0. Calculate a.
-2/7, 0
Let a(n) be the second derivative of 3/8*n**2 - 1/2*n**3 + n + 3/8*n**4 + 1/40*n**6 + 0 - 3/20*n**5. Factor a(y).
3*(y - 1)**4/4
Factor -14*n**3 - 2*n**2 + 10*n**3 + n**5 - 9*n**5 + 14*n**4.
-2*n**2*(n - 1)**2*(4*n + 1)
Let l(m) be the second derivative of -1/6*m**3 + 0 - 1/16*m**4 + 1/2*m**2 + 1/120*m**6 - 3*m + 1/40*m**5. Factor l(p).
(p - 1)**2*(p + 2)**2/4
Let x(v) be the first derivative of -2*v**5/5 - v**4 - 2*v**3/3 + 7. Let x(r) = 0. What is r?
-1, 0
Let n = 4/1075 - 178462/3225. Let a = n + 56. Factor 0 + a*w**2 + 2/3*w**4 + 0*w - 4/3*w**3.
2*w**2*(w - 1)**2/3
Let i(r) be the first derivative of 3*r**4/32 - r**3/4 + 3*r**2/16 + 23. Suppose i(a) = 0. What is a?
0, 1
Let i be 2/((-3)/(3/2)). Let q be (0 - i)*-1*-2. Factor z**q + 0 + 2 - 3*z**3 + 2*z - 2.
-z*(z - 1)*(3*z + 2)
Let c(b) = -6*b**2 - 10*b - 3. Let p(x) = -x**2 + x - 1. Let v(y) = -c(y) + p(y). Factor v(k).
(k + 2)*(5*k + 1)
Let n(z) = -z**2 - 2*z - 2. Let v be n(-3). Let y = -3 - v. Factor 2*l**3 + 3 - 3*l**y + l - 1 - 3*l**3 + l**2.
-(l - 1)*(l + 1)*(l + 2)
Suppose -5*s + s = -5*k - 5, 4*k = 5*s - 13. Solve -l**3 - 3 + 6*l**3 - k*l + l**3 - 3*l**3 + 3*l**2 = 0 for l.
-1, 1
Let t(y) be the first derivative of -1/4*y**4 + 2/3*y**3 + 0*y - 1 - 1/2*y**2. Factor t(x).
-x*(x - 1)**2
Suppose -4*b + 2*i - 20 = 0, -2*i - 22 = 5*b - 3*i. Let s be ((-5)/2)/(b/8). Factor -3*x**4 - 5*x**4 - s*x + 4*x + 6*x**3 + 3*x**5.
x*(x - 1)**3*(3*x + 1)
Let n be 11*(-10)/(-1155)*3. Determine s so that -8/7*s + n*s**2 + 8/7 = 0.
2
Let h be -1 + (-3 - 25/(-20)) + 5. Find x such that 3/2 + h*x + 3/4*x**2 = 0.
-2, -1
Let j be ((-4)/5)/(30/(-75)). Find g, given that 0*g + 0*g**3 - 1/4*g**4 + 1/2*g**j - 1/4 = 0.
-1, 1
Let x(b) = -b**2 + 8*b - 5. Let k be x(7). Let d(h) = -2*h - 22. Let q be d(-12). Factor -6*l**k + 4*l + l**2 + 3*l**q + 0 - 2.
-2*(l - 1)**2
Let r = 1 + 1. Let x be (-2)/r*7/(-3). Factor -2/3*i**2 + 2/3 - x*i**3 + 7/3*i.
-(i - 1)*(i + 1)*(7*i + 2)/3
Let g(i) be the third derivative of i**6/960 - i**5/480 - 2*i**2. Factor g(d).
d**2*(d - 1)/8
Let j = 613/9 - 68. Let x(w) be the third derivative of 4/9*w**3 + 0 + 2*w**2 + 0*w + 1/90*w**5 + j*w**4. Factor x(b).
2*(b + 2)**2/3
Let m = 4 - 4. Suppose -5*b - 12 = -b, m = -3*o + 5*b + 15. Factor -4*f - f**2 + 3*f**2 + o*f**2 + 2*f**3.
2*f*(f - 1)*(f + 2)
Solve -4/7*i**2 - 2/7*i**3 + 4/7 + 2/7*i = 0 for i.
-2, -1, 1
Let y be 3/27*(-6)/(-20). Let m = 17/10 - y. Let -7/3*a**2 + 2/3 - m*a = 0. What is a?
-1, 2/7
Let y = -64 - -69. Suppose 4*u**2 + 20/3*u**4 + 8*u**3 + 2/3*u + 0 + 2*u**y = 0. What is u?
-1, -1/3, 0
Let a be ((-12)/(-15))/(2/5). What is n in -24*n**a + n**5 + 24*n**2 = 0?
0
Suppose 9*v - 8 = 5*v. Let k(t) be the second derivative of 0*t**3 + 1/100*t**5 + 1/150*t**6 - 2*t + 0*t**v - 1/60*t**4 - 1/210*t**7 + 0. Factor k(q).
-q**2*(q - 1)**2*(q + 1)/5
Let g(v) = v - 1. Let k(r) = 2*r**2 + 3*r + 3. Let x(m) = -6*g(m) - 2*k(m). Factor x(n).
-4*n*(n + 3)
Find f such that -95 + f**5 + 95 - f**4 = 0.
0, 1
Let d be (8/(-6) - -1)*-1. Let f(r) be the second derivative of -3/40*r**5 - 5/24*r**4 + r**2 + r + 0 + d*r**3. Determine h, given that f(h) = 0.
-2, -2/3, 1
Let j = 3 - 0. Suppose h - 7 = 4*w + w, 0 = 4*h - 3*w - 11. Suppose -2*c**3 - c + c**2 + 3*c - j*c**h + 2 = 0. Calculate c.
-1, 1
Find q such that 0 - 2/5*q**5 + 4/5*q**2 + 2/5*q + 0*q**3 - 4/5*q**4 = 0.
-1, 0, 1
Let h(w) = 5*w - w + 6*w**2 - 5 - w**2. Let a(l) = 2*l + 2 + l - 6 + 4*l**2. Let j(p) = -4*a(p) + 3*h(p). Factor j(b).
-(b - 1)*(b + 1)
Suppose -3*q + 2 = -2*q. Suppose 2/5*p**3 + 0*p + 0 - 2/5*p**q = 0. What is p?
0, 1
Let j(d) = -4*d**4 - 11*d**3 - 20*d**2 - 8*d + 5. Let a(c) = 6*c**4 + 17*c**3 + 30*c**2 + 12*c - 7. Let y(g) = 5*a(g) + 7*j(g). Factor y(v).
2*v*(v + 1)**2*(v + 2)
Let a(w) = w**2 + 2*w. Let v be a(-3). Suppose -4*l + 4 = -v*l. What is j in -3*j**3 - 4*j**l + 5*j**3 + 2*j**4 = 0?
0, 1
Let f(s) be the second derivative of -s**4/24 - 5*s**3/12 - 3*s**2/2 - 24*s. Factor f(o).
-(o + 2)*(o + 3)/2
Determine l, given that -32/7 - 386/7*l**2 + 240/7*l - 32/7*l**4 - 240/7*l**3 = 0.
-4, 1/4
Let u(q) be the second derivative of -q**4/18 - 10*q**3/9 + 4*q. Factor u(f).
-2*f*(f + 10)/3
Let d = 47/30 - 1/15. Factor -1/2*p**2 + 0*p**4 + 2*p**5 - d*p**3 + 0*p + 0.
p**2*(p - 1)*(2*p + 1)**2/2
Suppose -4*a = 2*l - 10, 2*a - a + 2*l + 5 = 0. Factor 0*g**5 - 12*g**4 + g**3 + 4*g**5 + a*g**3 + 12*g**2 - 2*g**3 - 8*g.
4*g*(g - 2)*(g - 1)**2*(g + 1)
Let v = 73 - 437/6. Let y(r) be the second derivative of -v*r**3 + 0*r**2 - 2*r + 0 - 1/12*r**4. Find l such that y(l) = 0.
-1, 0
Let v(r) = r**2 + 3*r - 1. Let g be v(-5). Let u be (-1 + g)/((-9)/(-1)). Let u*x - 2/9*x**2 - 8/9 = 0. Calculate x.
2
Suppose 0*i + 3 = i. Let s(q) be the first derivative of 0*q + 1/6*q**i - 3 + 1/4*q**2. Find r such that s(r) = 0.
-1, 0
Let c(q) = 2*q**2 + 23*q - 10. Let w(u) = u**2 + u + 1. Let g(b) = c(b) - 5*w(b). Solve g(r) = 0.
1, 5
Factor 11*m**4 - 8*m**4 - 3*m**4 - 4*m**5.
-4*m**5
Suppose 0 = -5*n + r + 18, 8*n - 3*n = 5*r + 30. Let c(o) be the first derivative of -1/6*o**2 + 1/12*o**4 - 1/9*o**n + 1/3*o + 1. Factor c(b).
(b - 1)**2*(b + 1)/3
Let m = -30/11 + 101/33. Let 0*k**2 + 0*k**4 + 2/3*k**3 - m*k + 0 - 1/3*k**5 = 0. What is k?
-1, 0, 1
Let q(o) be the third derivative of 0*o**4 + 0*o - 1/20*o**5 + 0*o**3 + 0 + 5*o**2. Factor q(v).
-3*v**2
Let h(t) be the first derivative of t**6/21 - 6*t**5/35 + t**4/7 + 4*