t x = 1023/196 - -3/98. Let -25/4*k**3 - 3/4*k - x*k**2 - 9/4*k**4 + 1/2 = 0. What is k?
-1, 2/9
Let t(h) be the third derivative of -h**7/1575 - h**6/225 - h**5/150 + h**4/45 + 4*h**3/45 + 6*h**2. Let t(l) = 0. Calculate l.
-2, -1, 1
Let z be (-1 - 2) + (-63)/(-9). Let s(h) be the third derivative of 1/90*h**5 + 1/36*h**z + h**2 + 0 + 0*h + 0*h**3. Find c, given that s(c) = 0.
-1, 0
What is b in 8/9 + 2/9*b**2 + 8/9*b = 0?
-2
Let n(r) = r**3 - r + 25. Let y be n(0). Suppose 7*l - 2*l - 3*z = y, 3*l = z + 11. Factor -f**4 - l*f**4 + 2*f**2 + f**4.
-2*f**2*(f - 1)*(f + 1)
Factor -2/13*a**2 - 128/13 - 32/13*a.
-2*(a + 8)**2/13
Let a be (-6)/4 + 62/36. Let n be ((-2)/3)/(6/4*-1). Factor 0 + 4/9*r**2 + 0*r**3 - n*r**4 - a*r + 2/9*r**5.
2*r*(r - 1)**3*(r + 1)/9
Let g(h) = 6*h**4 - 4*h**3 - 4*h**2 + 8*h - 2. Let o(v) = -17*v**4 + 12*v**3 + 11*v**2 - 23*v + 6. Let l(c) = 11*g(c) + 4*o(c). Suppose l(q) = 0. Calculate q.
-1, 1
Suppose -o**3 - 5*o**3 - 4*o**4 + 0*o**4 + o**4 = 0. What is o?
-2, 0
Let y(z) = 5*z**3 - 42*z**2 + 107*z - 88. Let t(x) = -25*x**3 + 211*x**2 - 536*x + 439. Let j(w) = -2*t(w) - 11*y(w). Determine r, given that j(r) = 0.
2, 3
Let o(j) be the second derivative of -j**6/105 - 3*j**5/70 - j**4/14 - j**3/21 - 5*j. Factor o(n).
-2*n*(n + 1)**3/7
Let p be (1 - (-2 + 1))/(-1). Let h = p - -11. Factor -3*q**4 - q**3 + h*q**2 - 5 + 1 - 7*q**2 + q**5 + 5*q**2.
(q - 2)**2*(q - 1)*(q + 1)**2
Let z(k) be the second derivative of -2/3*k**3 + 0 + 1/6*k**4 + 3*k + 1/10*k**5 + 0*k**2. Factor z(w).
2*w*(w - 1)*(w + 2)
Suppose 7*c + 19*c = 52. Suppose 6/5*l**c + 3/5*l - 6/5 - 3/5*l**3 = 0. What is l?
-1, 1, 2
Let u(a) = -a**2 - 37*a - 342. Let q be u(-18). Factor 2/9*p**2 - 2/9*p**4 - 2/9*p + q + 2/9*p**3.
-2*p*(p - 1)**2*(p + 1)/9
Let s be -1 + 176/12 - -3. What is a in 0 + s*a**5 - 56/3*a**2 + 8/3*a + 46*a**3 - 140/3*a**4 = 0?
0, 2/5, 1
Let m(d) be the first derivative of 4/5*d + 8/15*d**3 + d**2 + 1/10*d**4 - 3. Factor m(a).
2*(a + 1)**2*(a + 2)/5
Let d be 5*(0 + (-18)/15). Let y(b) = 15*b**3 - 20*b**2 + 43*b - 16. Let h(j) = -8*j**3 + 10*j**2 - 22*j + 8. Let z(a) = d*y(a) - 11*h(a). Factor z(l).
-2*(l - 2)**2*(l - 1)
Let p be (4 - 17/4)*-8. Let t(k) be the first derivative of 1/5*k**5 + 1/3*k**3 - 1 - 1/2*k**4 + 0*k + 0*k**p. Factor t(c).
c**2*(c - 1)**2
Let a be 1/((-5)/75*-3). Suppose -1 = 4*r + 3*b, -2*r - b - 1 = -2. What is j in -6/7*j - 6/7*j**4 + 4/7*j**r + 4/7*j**3 + 2/7*j**a + 2/7 = 0?
-1, 1
Let c(q) be the second derivative of -q**5/5 + 4*q**4/3 - 8*q**3/3 + q. Find u such that c(u) = 0.
0, 2
Factor 11*u**2 + 5*u + 4*u**2 + 3*u**4 + u + 12*u**3.
3*u*(u + 1)**2*(u + 2)
Let -44*r - 9 - 4*r**5 - 100*r**2 - 20*r - 7 - 28*r**4 - 76*r**3 = 0. Calculate r.
-2, -1
Let r(g) be the first derivative of 2*g**5/55 - 3*g**4/11 + 6*g**3/11 - 4*g**2/11 + 31. Determine i, given that r(i) = 0.
0, 1, 4
Let v(y) be the second derivative of -3/4*y**2 - 2*y + 5/4*y**3 - 27/40*y**5 + 0 - 3/8*y**4. Determine i, given that v(i) = 0.
-1, 1/3
Let g(y) = 23*y**4 + 13*y**3 + 23*y**2 - 11*y + 11. Let f(i) = 8*i**4 + 4*i**3 + 8*i**2 - 4*i + 4. Let d(l) = 11*f(l) - 4*g(l). Suppose d(c) = 0. What is c?
-1, 0
Suppose 1 + 1 = -s. Let f be (s*1)/((-1)/2). Find u, given that u**2 + 2*u**2 - 3*u - f + 4 = 0.
0, 1
Let m(a) = a + 1. Let f(o) = o**2 + 5*o + 4. Let c(s) = -2*f(s) + 6*m(s). Find w such that c(w) = 0.
-1
Let z(a) be the second derivative of a**6/30 + 3*a**5/80 - a**4/48 + 2*a. Factor z(o).
o**2*(o + 1)*(4*o - 1)/4
Let k be ((-3)/(-4))/(72/64). Let -2/3*j**3 + 2/3 - k*j**2 + 2/3*j = 0. What is j?
-1, 1
Let q(h) be the first derivative of 7/15*h**5 + 3/4*h**4 + 0*h + 2/9*h**3 + 0*h**2 + 1. Factor q(i).
i**2*(i + 1)*(7*i + 2)/3
Let m = 11 - 5. Suppose -5*r = 2*x - 30, -m*r + 25 = x - r. Factor -x*n**4 + 2*n**4 + 3*n**2 + 9*n**2 - 9*n**2.
-3*n**2*(n - 1)*(n + 1)
Let q be -1 + 11 - (-3 + 11). Find u such that -7/4*u - 5/4*u**q - 1/4*u**3 - 3/4 = 0.
-3, -1
Let m be (4/3)/(4/(-6)). Let q = m - -5. Solve 1/2*p - 2*p**2 + 0 + 3/2*p**q = 0.
0, 1/3, 1
Let k be 1/((-1)/(-7)) - 0. Solve 12*v + 71*v**2 + 60*v**3 + 0 + 16*v**4 + 0 - 8 - k*v**2 = 0.
-2, -1, 1/4
Let l(k) = -2*k**4 - 25*k**3 + 43*k**2 + 18*k - 34. Let t(z) = -z**4 - 8*z**3 + 14*z**2 + 6*z - 11. Let j(q) = 2*l(q) - 7*t(q). Factor j(i).
3*(i - 1)**2*(i + 1)*(i + 3)
Suppose 0*f - 5*f = -10. Find m such that 4*m - 5*m + 3*m + f*m**2 = 0.
-1, 0
Let i(x) be the second derivative of -x**4/78 + 5*x**3/39 + 6*x**2/13 + 30*x. Solve i(f) = 0 for f.
-1, 6
Factor -2/3*n**2 + 0*n + 0*n**3 + 2/3*n**4 + 0.
2*n**2*(n - 1)*(n + 1)/3
Let o(c) = -c**3 - 10*c**2 - 11*c - 3. Let q be o(-9). Suppose 0*y**5 + q*y**5 - 15*y**4 - 6*y**3 + 6*y**4 = 0. Calculate y.
-2/5, 0, 1
Let k = -73/3 - -25. Solve 0 - 2*w**2 + 4/3*w + k*w**4 + 0*w**3 = 0.
-2, 0, 1
Suppose 2*h = 3*d, -d - 19 = -3*h - 6*d. Suppose -4 = h*u + 3*b - b, 0 = 4*u + 3*b + 6. Suppose 4/5*i + u + 2/5*i**2 = 0. What is i?
-2, 0
Suppose 3*o = 7*o + 60. Let n = o - -15. Find q such that 2/7*q**2 + 6/7*q**3 - 4/7*q + n = 0.
-1, 0, 2/3
Let f be 8/(-258)*2/(-4). Let k = 88/129 - f. Find z such that 1/3*z**3 - k*z**2 + 1/3*z + 0 = 0.
0, 1
Let n(b) be the second derivative of -3*b**5/20 - b**4/2 + 2*b**3 + 12*b**2 - 2*b. Factor n(i).
-3*(i - 2)*(i + 2)**2
Let d(j) be the second derivative of 0*j**4 - 1/3*j**3 + 0*j**5 + 0 + 0*j**2 + 1/180*j**6 - 2*j. Let l(r) be the second derivative of d(r). Factor l(u).
2*u**2
Let l = 13 + -7. Let g be 0/(-2*3/l). Factor -2*v**3 - v - v + g*v**3 + 4*v**2.
-2*v*(v - 1)**2
Let -2/23*n**2 + 14/23*n**3 - 8/23 + 2/23*n**5 - 16/23*n + 10/23*n**4 = 0. Calculate n.
-2, -1, 1
Let r(p) = -p**2 + p**3 + 2*p**2 - 6*p**2 + 3. Let j be r(5). What is q in q**2 + 2*q**4 - 2*q**j - 3*q**2 - q**4 + 3*q**2 = 0?
0, 1
Let n(o) = -o**2 + 7*o - 4. Let z be n(6). Suppose -v - 13 = -4*c, -4 - 1 = c - 3*v. Find m such that -c*m + z*m + 0*m**3 + 2*m**3 = 0.
-1, 0, 1
Let v be ((-4)/10)/(1/(-20)). Let j = -6 + v. Let p(l) = -4*l**3 + 6*l**2 - 2*l + 1. Let c(z) = -z**2 + z - 1. Let t(q) = j*p(q) + 2*c(q). Factor t(x).
-2*x*(x - 1)*(4*x - 1)
Let m(v) = -v + 3. Let x be m(-4). Let w = x - 3. Factor -8/3*q**3 + q**w + 2/3*q + 0 + q**2.
q*(q - 2)*(q - 1)*(3*q + 1)/3
Suppose 4*b - 35 = -5*a, b - 5*a = 6*b - 40. Find u such that 132*u**4 - 52*u**b - 148*u**2 - 105*u**3 - 13*u**3 + 83*u**5 + 16 - 8*u + 95*u**5 = 0.
-1, -2/3, 2/7, 1
Let l(k) be the first derivative of -3*k**4/4 - 6*k**3 - 33*k**2/2 - 18*k + 29. Factor l(g).
-3*(g + 1)*(g + 2)*(g + 3)
Let s(p) = p**5 + 6*p**4 - 22*p**3 + 24*p**2 - 11*p - 2. Let t(w) = 3*w**5 + 11*w**4 - 44*w**3 + 48*w**2 - 23*w - 5. Let o(m) = 5*s(m) - 2*t(m). Factor o(g).
-g*(g - 3)**2*(g - 1)**2
Let u(s) be the first derivative of 4*s**3/3 + 6*s**2 - 9. Factor u(d).
4*d*(d + 3)
Let w(d) be the third derivative of d**7/420 - d**5/120 + 7*d**2. Factor w(f).
f**2*(f - 1)*(f + 1)/2
Let d(w) be the first derivative of 3*w**5/35 - 15*w**4/28 + w**3 - 9*w**2/14 + 37. Factor d(c).
3*c*(c - 3)*(c - 1)**2/7
Suppose 0 = -3*j + d - 1, -j - 5 = -4*d - d. Factor 2/3 + j*o - 2/3*o**2.
-2*(o - 1)*(o + 1)/3
Let a(w) be the third derivative of -w**8/280 - w**7/175 + w**6/50 + w**5/25 - w**4/20 - w**3/5 + 22*w**2. Factor a(i).
-6*(i - 1)**2*(i + 1)**3/5
Factor 0*z - 2/13*z**3 + 2/13*z**2 + 0.
-2*z**2*(z - 1)/13
Let y be 28/(-8) - (-8)/16*8. Factor y*a**2 + 9/2 - 3*a.
(a - 3)**2/2
Let o = -1017/4 - -256. Let a(b) be the first derivative of -1 - 8/3*b**3 + 0*b + 49/15*b**5 - 2/3*b**2 - o*b**4. Determine z so that a(z) = 0.
-2/7, 0, 1
Suppose -4*b + 6*p - 1 = 3*p, 0 = -2*b - p + 7. Factor -9*x**2 + 3*x**3 + 15*x - 6 - 9*x**2 + 6*x**b.
3*(x - 2)*(x - 1)**2
Let b(v) = 3*v - 16*v + 62*v**3 - 13*v**2 - 10 - 63*v**3. Let k be b(-12). Find q, given that -14/9*q**k + 2/3*q**4 + 8/9 + 0*q - 2/9*q**3 + 2/9*q**5 = 0.
-2, -1, 1
Suppose 3*w = -4*o + 10, w = -2*o + 4*o + 20. Suppose 2*i + 3*i = w. Factor -2/9 - 2/3*z - 2/9*z**3 - 2/3*z**i.
-2*(z + 1)**3/9
Let w be 5 - 0 - (-1)/1. Let s(l) be the second derivative of l - 1/15*l**w + 0*l**5 + 1/6*l**4 + 0*l**3 + 0 + 0*l**2. Factor s(y).
-2*y**2*(y - 1)*(y + 1)
Let l(w) be the second derivative of -w**7/21 + w**6/3 - w**5 + 5*w**4/3 - 5*w**3/3 + w**2 + 12*w. Factor l(d).
-2*(d - 1)**5
Let f(k) be the third derivative of -k**9/4536 + k