*3*(f - 2)*(3*f - 2)/17
Suppose -c + 11 = -3*x - 6, -2*c = -3*x - 22. Suppose c*s - 2 = 18. What is m in 0 + 6/5*m**3 + 2/5*m**2 - 2/5*m**5 - 2/5*m**s - 4/5*m = 0?
-2, -1, 0, 1
Let k(c) be the third derivative of -2*c**7/315 + c**6/90 + c**2. Factor k(i).
-4*i**3*(i - 1)/3
Factor -20/7*k**4 + 0*k + 0*k**2 + 0 + 4/7*k**5 - 24/7*k**3.
4*k**3*(k - 6)*(k + 1)/7
Let f = -6 + 42. Suppose 0 = 3*i - f + 30. Factor 14*w + 20 + 5*w + 5*w**i + w.
5*(w + 2)**2
Let q be ((-3)/(-19))/((-240)/(-320)). What is t in q*t + 0 + 26/19*t**2 = 0?
-2/13, 0
Let s(x) be the first derivative of -x**4/20 + 8*x**3/15 + x**2/10 - 8*x/5 - 20. Factor s(w).
-(w - 8)*(w - 1)*(w + 1)/5
Solve -6 + 5*d**2 + 7*d**4 - 3*d + 6*d**3 + 10*d**4 - 23*d**4 + 7*d**2 - 3*d**5 = 0 for d.
-2, -1, 1
Let j(s) = 6*s**3 - 2*s**2. Let a be j(1). Let r**a - 1/4*r**3 + 0 - 4*r**2 + r = 0. Calculate r.
-2, 0, 1/4, 2
Let i(f) = f + 8. Let w be i(-4). Suppose w*b = 5*b - 2. Determine l, given that 4*l**2 - 6*l**2 + l**b + 2*l = 0.
0, 2
Let j be (-7)/(-21)*21 + -2. Let l(c) be the second derivative of 2/3*c**4 - 5/3*c**3 - 5*c - 2*c**2 + 3/10*c**j + 0. Factor l(u).
2*(u - 1)*(u + 2)*(3*u + 1)
Let a(i) be the third derivative of -2*i**7/105 + i**6/10 + i**5/15 - i**4/2 - 201*i**2. Factor a(d).
-4*d*(d - 3)*(d - 1)*(d + 1)
Suppose 2 = 70*r - 69*r. Factor 2/19*u**4 - 10/19*u**3 + 0 - 6/19*u + 14/19*u**r.
2*u*(u - 3)*(u - 1)**2/19
Let y(j) be the first derivative of 2/3*j**2 - 12 + 10/9*j**3 + 0*j - 7/6*j**4. Factor y(b).
-2*b*(b - 1)*(7*b + 2)/3
Determine u, given that 7*u**2 - 3*u**2 + 405 + u**2 - 25*u - 65*u = 0.
9
Let z(t) be the second derivative of 0 + 1/30*t**4 + 3*t - 1/5*t**2 + 0*t**3. Factor z(r).
2*(r - 1)*(r + 1)/5
Factor -2/17*l**2 + 4/17*l + 6/17.
-2*(l - 3)*(l + 1)/17
Suppose 0 = -3*n - n + 48. Suppose -j = -5*x + 13, 4*j + 2*x - 2 = n. Factor -a - 5*a + 15 + 3*a**j - 12.
3*(a - 1)**2
Suppose -108*z + 25*z + 675 - 27*z - 3*z**2 - 2*z**2 = 0. Calculate z.
-27, 5
Let r(d) be the second derivative of d**6/24 + d**5/3 + 5*d**4/6 + 15*d**2/2 - 8*d. Let p(y) be the first derivative of r(y). Factor p(o).
5*o*(o + 2)**2
Suppose -84*j = -974 + 50. Let n(z) be the second derivative of j*z + 0 - 1/66*z**4 - 3/11*z**2 - 4/33*z**3. Determine k so that n(k) = 0.
-3, -1
Let w(b) = 15 - 45 - 260*b**2 - 25*b + 258*b**2. Let p be w(-11). Factor 3/8*n**4 + 0 + 3/4*n**p + 0*n + 3/8*n**2.
3*n**2*(n + 1)**2/8
Let -3*q**4 - 4 + 0*q**4 - 2*q**3 + 20*q + 2*q**4 + 7*q**2 - 2 + 18 = 0. What is q?
-2, -1, 3
Let q(h) be the third derivative of h**7/315 + 11*h**6/180 - h**5/90 - 11*h**4/36 - 378*h**2. Solve q(l) = 0.
-11, -1, 0, 1
Suppose 39 = 12*u + 3. Let r(g) be the second derivative of 8*g - 3/2*g**2 + 0 - 3/2*g**u - 1/2*g**4. Find d such that r(d) = 0.
-1, -1/2
Let u be -1 + -3 - (0 - -11). Let b(w) = 2*w**4 + 30*w**3 + 31*w**2 + 13*w. Let t(r) = -r**4 - r**2 + r. Let c(z) = u*t(z) + 3*b(z). Factor c(p).
3*p*(p + 2)**2*(7*p + 2)
Let d(c) be the third derivative of -c**5/20 - 75*c**4/8 - 37*c**3 + 207*c**2. Suppose d(z) = 0. Calculate z.
-74, -1
Let u = -4149/154 - 17/22. Let y = u - -825/28. Suppose -3/4*k**3 + 1/2 - y*k + 2*k**2 = 0. What is k?
2/3, 1
Let i(m) be the first derivative of m**6/15 + 14*m**5/25 + 17*m**4/10 + 34*m**3/15 + 6*m**2/5 + 72. Let i(r) = 0. Calculate r.
-3, -2, -1, 0
Let p(o) be the first derivative of o**8/896 + o**7/70 + 9*o**6/160 + o**5/10 + 5*o**4/64 + 11*o**2 + 8. Let l(k) be the second derivative of p(k). Factor l(b).
3*b*(b + 1)**3*(b + 5)/8
Let g(i) be the third derivative of -i**6/360 - i**5/120 + i**4/12 + i**3/6 - 10*i**2. Let s(a) be the first derivative of g(a). Find b, given that s(b) = 0.
-2, 1
Suppose 64*q - 2 = 66*q. Let g be (3 - 0 - 3)/q. Factor 0*x**3 + g - 2/11*x**4 + 2/11*x**2 + 0*x.
-2*x**2*(x - 1)*(x + 1)/11
Let g be 6/5*(-60)/(-24). Factor 0*f**g - 2*f**3 - f**2 + 2*f + 4 - 3*f**2.
-2*(f - 1)*(f + 1)*(f + 2)
Suppose 6*j = 11*j - 20. Suppose -5*m = -4*m - j. Find s, given that 18/5*s**2 - 6*s**3 - 6/5*s**5 + 0 - 4/5*s + 22/5*s**m = 0.
0, 2/3, 1
Factor 32*n - 3*n**4 + 2*n**4 + 48 + 77204*n**2 - 77212*n**2 - 8*n**3.
-(n - 2)*(n + 2)**2*(n + 6)
Let i(q) be the third derivative of q**8/672 + q**7/70 + 11*q**6/240 + q**5/20 + 124*q**2. What is l in i(l) = 0?
-3, -2, -1, 0
Let a(m) be the first derivative of -m**6/12 - 4*m**5/5 - 7*m**4/8 + 12. Let a(n) = 0. Calculate n.
-7, -1, 0
Let r = 283 - 280. Let w(d) be the second derivative of -d + 0 + 2/15*d**r - 1/30*d**4 - 1/5*d**2. Determine g so that w(g) = 0.
1
Let j(u) be the third derivative of -u**5/120 + 49*u**4/48 - 227*u**2. Factor j(b).
-b*(b - 49)/2
Suppose 5*a = 4*q + 4, -141*a + 144*a - 12 = 0. Solve 15/4*v - 9/2*v**3 + 3/4*v**5 + 3/4*v**q - 9/4 + 3/2*v**2 = 0 for v.
-3, -1, 1
Let j = -7213/45 - -802/5. Let a(i) be the first derivative of -1/27*i**3 + 3 + j*i + 1/18*i**2 - 1/36*i**4. Suppose a(p) = 0. Calculate p.
-1, 1
Suppose -40 = -y - 70. Let o = 30 + y. Solve o*s + s**3 + 0 - 2/3*s**4 - 1/3*s**2 = 0 for s.
0, 1/2, 1
Let 1933/5*q**2 + 2116/5 + 18*q**3 + 1/5*q**4 - 828*q = 0. Calculate q.
-46, 1
Let x be (96/40 - 2) + 0/2. Determine y so that 0 - 6/5*y**2 + 6/5*y**4 - 4/5*y + 2/5*y**3 + x*y**5 = 0.
-2, -1, 0, 1
Let l(a) = -a**3 + a**2 + 1. Suppose 0 = -6*d + 3*d + 30. Let w(k) = -k**3 + d + 2*k**2 - 4 - 4. Let u(m) = 6*l(m) - 3*w(m). Factor u(i).
-3*i**3
Suppose 22*w**4 + 50 - 3*w - 9*w**4 - 6*w**2 + 15*w**3 - 8*w**4 - 49*w**2 - 12*w = 0. Calculate w.
-5, -1, 1, 2
Let u(y) = -17*y**5 - 5*y**4 + 28*y**3 + 42*y**2 + 30*y + 11. Let t(z) = -z**5 + z**4 - 2*z**2 + 1. Let x(j) = -7*t(j) + u(j). Let x(n) = 0. What is n?
-1, -1/5, 2
Let -2/5 + 3/5*x + 2/5*x**5 - x**3 + x**2 - 3/5*x**4 = 0. What is x?
-1, 1/2, 1, 2
Let s(r) = 4*r**2 - r - 5. Let z be s(-10). Factor 6*j**2 - 32*j + z - 41*j - j**2 - 17*j.
5*(j - 9)**2
Let z = 1255/9 - 6257/45. Determine h so that 2/5*h**4 - 2/5*h**5 - 2/5*h**2 + 0 + 0*h + z*h**3 = 0.
-1, 0, 1
Let x(q) = q**3 + 132 + 31*q + 9*q**3 - 8*q**2 - 43*q. Let i(w) = w**3 + w**2 + w - 1. Let n(f) = 12*i(f) - x(f). Factor n(h).
2*(h - 2)*(h + 6)**2
Let h(m) be the first derivative of m**4/6 - 2*m**3/3 + m**2 + 18*m - 30. Let v(n) be the first derivative of h(n). Factor v(x).
2*(x - 1)**2
Let b(g) be the first derivative of 8/15*g**3 + 2/5*g + 21 - 2/5*g**5 + 9/20*g**4 - 9/10*g**2. Suppose b(v) = 0. Calculate v.
-1, 2/5, 1/2, 1
Let k be 2*1159/(-798) + (3 - 0). Suppose 0*s**2 + 0*s**4 + 2/21*s**5 + k*s - 4/21*s**3 + 0 = 0. Calculate s.
-1, 0, 1
Let t(c) be the third derivative of -1/600*c**6 - 2/525*c**7 + 0*c**5 + 0*c**3 + 8*c**2 + 0*c + 0*c**4 + 0. Factor t(b).
-b**3*(4*b + 1)/5
Let h(b) be the first derivative of 196*b**4 + 896*b**3/3 + 58*b**2 + 4*b - 104. Solve h(l) = 0 for l.
-1, -1/14
Let l = -26038/3 + 8680. Let n(o) = -o**3 - 3*o**2 + 5*o + 6. Let s be n(-4). Determine u so that -4/9 + 10/9*u**s + l*u = 0.
-1, 2/5
Let h = -13 + 1. Let x = -10 - h. Solve q**4 + q**3 - 5*q**4 + 0*q**3 + x*q**4 - q**5 + 2*q**2 = 0 for q.
-2, -1, 0, 1
Let n(v) = -11*v - 7. Let b be n(-1). Let x(s) be the second derivative of 0*s**4 + 0*s**3 - b*s - 1/80*s**5 + 0*s**2 + 0. Suppose x(k) = 0. Calculate k.
0
Let s(m) = m**2 - 6*m + 10. Let g be s(4). Let j be (-6)/(-2) - (g/2 - -2). Factor -8/3*w**3 + 0*w + 8/9*w**2 + j + 2*w**4.
2*w**2*(3*w - 2)**2/9
Factor -4/3 + 2/9*h**2 + 2/9*h.
2*(h - 2)*(h + 3)/9
Let v(w) = -2*w**5 - 22*w**4 - 33*w**3 + 57*w**2 + 181*w + 107. Let c(z) = -z**5 + z**4 - z + 1. Let f(n) = -c(n) - v(n). Suppose f(x) = 0. Calculate x.
-3, -2, -1, 2
Let w(u) = 19*u**3 + 88*u**2 + 359*u + 363. Let y(q) = 4*q**3 - q - 1. Let k(m) = -3*w(m) + 15*y(m). Solve k(o) = 0 for o.
-2, 92
Let u = -369 + 369. Let s(w) be the first derivative of 7 - 1/16*w**4 + 1/24*w**6 + 0*w + u*w**2 + 1/6*w**3 - 1/10*w**5. Factor s(g).
g**2*(g - 2)*(g - 1)*(g + 1)/4
Let w(u) be the third derivative of -3*u**7/70 + u**6/40 + 3*u**5/5 - u**4/2 - 2*u**2 + 182*u. Factor w(a).
-3*a*(a - 2)*(a + 2)*(3*a - 1)
Let l(y) be the first derivative of 1/4*y**4 + 3/10*y**5 - 2*y - y**3 - 3/2*y**2 + 2. Let w(z) be the first derivative of l(z). Factor w(t).
3*(t - 1)*(t + 1)*(2*t + 1)
Suppose -35 = -3*p - 2*p + g, 5*p + 3*g = 15. Factor 4*y**2 + p - y + 5*y - 30.
4*(y - 2)*(y + 3)
Suppose 0 = -r + 8 - 5. Factor r - 1 + 3*u - 139*u**2 + 1