1/96*x**4. Suppose c(d) = 0. What is d?
0, 1
Let t be (1/1*-1)/(2/(-464)). Let r = t - 1154/5. Let -3*j**5 + 21/5*j**4 + 0 + 9/5*j**3 - 21/5*j**2 + r*j = 0. What is j?
-1, 0, 2/5, 1
Factor -23/4*i**2 + 7*i + 2*i**3 - 3 - 1/4*i**4.
-(i - 3)*(i - 2)**2*(i - 1)/4
Let z = -76 + 92. Let m be z/(-6)*(1/4 + -1). Factor -1/4*c**3 + 1/4*c**m - 1 + c.
-(c - 2)*(c - 1)*(c + 2)/4
Let r(f) = f**3 - 1. Let h(q) = 5*q**3 - 4*q**2 + 2*q - 3. Let x(z) = z**2 + 29*z - 65. Let y be x(-31). Let d(n) = y*r(n) + h(n). Let d(i) = 0. Calculate i.
0, 1
Determine d so that -25/4*d + 33/2 + 1/4*d**2 = 0.
3, 22
Let n = 473/21 + -133/6. Let v(f) be the second derivative of 0 + 2*f - 16/21*f**3 - 5/42*f**4 + n*f**5 - 4/7*f**2. Find c such that v(c) = 0.
-2/5, 1
Let x = -31 - -21. Let q(n) be the second derivative of -n**4 - n**3/3 + 2*n**2 - 9*n. Let k(c) = c**2. Let j(i) = x*k(i) - q(i). Let j(o) = 0. Calculate o.
-2, 1
Suppose 17*n + 660 = 22*n. Let t = 133 - n. Factor t + 3/4*m - 1/4*m**2.
-(m - 4)*(m + 1)/4
Let o = 20 - 17. Factor 0*r - 2*r - 3*r**2 + 3*r**3 - 6*r + 5*r + o*r**4.
3*r*(r - 1)*(r + 1)**2
Suppose -85*n + 28*n + 23*n + n**2 + 24*n - 11 = 0. What is n?
-1, 11
Let r(h) = -15*h + 109. Let n be r(7). Let u(j) be the third derivative of 3/16*j**n + 3*j**2 + 0*j - 1/2*j**3 - 1/40*j**5 + 0. Find z such that u(z) = 0.
1, 2
Let x(d) be the first derivative of -d**7/735 + d**6/210 + d**5/210 - d**4/42 - 6*d**2 - 10. Let q(w) be the second derivative of x(w). Factor q(u).
-2*u*(u - 2)*(u - 1)*(u + 1)/7
Let r be (0 - -12)*94/8*-1. Let x = 565/4 + r. Determine c so that -1/4*c**2 - x*c**4 - 1/2*c**3 + 0 + 0*c = 0.
-1, 0
Factor -2*a + 3/5 + 12/5*a**2 + 1/5*a**4 - 6/5*a**3.
(a - 3)*(a - 1)**3/5
Solve -12/19 + 4/19*v**2 + 2/19*v**3 - 10/19*v = 0 for v.
-3, -1, 2
Let d(k) = 2*k**3 + 32*k**2 + 4*k - 4. Let n(h) = 3*h**3 + 31*h**2 + 7*h - 3. Let j(m) = 3*d(m) - 4*n(m). Solve j(v) = 0 for v.
-4, -2/3, 0
Suppose 0 = 13*m + 14*m - 162. Let r(n) be the first derivative of 2/21*n**3 - 1/7*n**2 - 2/7*n + 1/14*n**4 - m. Factor r(c).
2*(c - 1)*(c + 1)**2/7
Factor 8*r**4 + r**5 - 3*r**5 - 229*r**2 - 8*r**3 + 229*r**2.
-2*r**3*(r - 2)**2
Let z = -6 + 3. Let x be 0 - 0/2 - z. What is v in 0*v**3 - x*v**3 - v**2 - 5*v**2 = 0?
-2, 0
Suppose -156/11*o**2 + 34/11*o**3 - 2/11*o**4 + 256/11 + 64/11*o = 0. Calculate o.
-1, 2, 8
Let m = 96 - 92. Let x(c) be the first derivative of 3/4*c**m - c**3 + 4 - 3/2*c**2 + 3/5*c**5 + 0*c. Factor x(l).
3*l*(l - 1)*(l + 1)**2
Solve 0*y + 0 + 8*y**4 + 0*y**2 + 128/5*y**3 + 2/5*y**5 = 0 for y.
-16, -4, 0
Let o(v) be the third derivative of 1/42*v**7 + 0*v**5 + 0 - 17*v**2 + 0*v**6 + 0*v + 0*v**3 + 0*v**4. Find c such that o(c) = 0.
0
Let c(a) be the third derivative of 0*a**4 - 1/100*a**5 + 0*a - 1/40*a**6 - 12*a**2 + 0*a**3 + 0 - 2/175*a**7. Suppose c(g) = 0. What is g?
-1, -1/4, 0
Let u = -190 + 180. Let o be -2*((-5)/u - 2). Determine z, given that 0 - 4/3*z**2 - 2/3*z**o + 0*z + 2/3*z**4 = 0.
-1, 0, 2
Let v(i) be the first derivative of -i**5/330 - i**4/22 + 25*i**2/2 + 27. Let m(r) be the second derivative of v(r). Factor m(q).
-2*q*(q + 6)/11
Let x(v) be the third derivative of -v**5/30 - v**4/6 - v**3/3 + 235*v**2 - 2. What is n in x(n) = 0?
-1
Let q(h) be the first derivative of -5*h**3/12 + 65*h**2/8 - 135. Factor q(s).
-5*s*(s - 13)/4
Let r(p) be the second derivative of 0*p**2 + 0 - 1/40*p**5 - 12*p + 1/24*p**4 + 0*p**3. Let r(m) = 0. Calculate m.
0, 1
Suppose 2*c - 5 = -3*q - 0*q, 5*q + 3*c - 10 = 0. Let h be (2 - 2)/(5/q). Factor -1/5*i**4 + h*i**3 + 0 + 1/5*i**2 + 0*i.
-i**2*(i - 1)*(i + 1)/5
Let n be (-42)/(-12)*(-18)/(-21). Let d(g) be the first derivative of -1/2*g**4 + 2 + 0*g + g**2 + 0*g**n. Suppose d(z) = 0. What is z?
-1, 0, 1
Factor -7/2*q**2 - 5/4*q - 3*q**3 + 0 + 1/4*q**5 - 1/2*q**4.
q*(q - 5)*(q + 1)**3/4
Let u(o) be the second derivative of -1125/2*o**3 + o - 1/4*o**5 - 27 + 75/4*o**4 + 16875/2*o**2. Factor u(s).
-5*(s - 15)**3
Let n = -2/3865 - -11611/30920. Factor 3/8*x + n*x**2 - 3/4.
3*(x - 1)*(x + 2)/8
Let b = 0 - 13. Let k = 16 + b. Solve 3*r**4 - r**3 - 4*r + 7*r**2 + 2*r - 4*r**3 - k*r**3 = 0 for r.
0, 2/3, 1
Let x(q) be the first derivative of q**7/70 + 7*q**6/60 + q**5/3 + q**4/3 + 21*q**2/2 - 24. Let b(m) be the second derivative of x(m). Factor b(u).
u*(u + 2)**2*(3*u + 2)
Let j be 3*(-1)/3 - -1. Factor -18 + 18 + j*i**2 - i**2 - i.
-i*(i + 1)
Let z(l) be the third derivative of -46*l**2 - 1/42*l**8 + 0*l**3 + 0*l + 2/15*l**5 - 7/30*l**6 + 0*l**4 + 2/15*l**7 + 0. Let z(t) = 0. Calculate t.
0, 1/2, 1, 2
Let j(t) be the second derivative of -2*t**6/75 + 12*t**5/25 - 16*t**4/5 + 128*t**3/15 - t + 48. Factor j(k).
-4*k*(k - 4)**3/5
Factor -1/2*x**4 + 0 - 33/2*x - 7/2*x**3 + 41/2*x**2.
-x*(x - 3)*(x - 1)*(x + 11)/2
Let q(t) be the third derivative of -16*t**2 + 1/30*t**6 + 0 + 2/15*t**5 - 7/6*t**4 + 8/3*t**3 + 0*t. Factor q(h).
4*(h - 1)**2*(h + 4)
Let d(m) = m**2. Let b(c) = -c**3 - 11*c**2 - 20*c + 24. Let t(h) = b(h) - 2*d(h). Let l be t(-11). Factor -4/3 + 5/3*s**l + 8/3*s.
(s + 2)*(5*s - 2)/3
Let z(u) = u**3 + 5*u**2 - 7*u - 32. Let d be z(-5). Factor -8*j**4 + 6*j**d - 15*j**5 + 2*j**3 - 8*j**5 - 7*j**5.
-2*j**3*(3*j + 2)*(5*j - 2)
Let n(g) be the third derivative of g**5/160 + 101*g**4/64 - 51*g**3/8 + 195*g**2 - g. Suppose n(q) = 0. What is q?
-102, 1
Let t = 55 + -53. Suppose -3/5 - 3*g - 12/5*g**t = 0. What is g?
-1, -1/4
Factor 0 + 3*d - 3/4*d**4 - 3/4*d**3 + 3*d**2.
-3*d*(d - 2)*(d + 1)*(d + 2)/4
Factor 0*c + 24/7*c**3 + 0 + 64/7*c**2 - 4/7*c**4.
-4*c**2*(c - 8)*(c + 2)/7
Let m be (-4)/(-10)*5 + 1. Factor 3*w**2 - 3*w + 3*w + 3*w**3 - m - 3*w.
3*(w - 1)*(w + 1)**2
Let l(y) be the third derivative of y**8/84 + 4*y**7/35 + 13*y**6/30 + 4*y**5/5 + 2*y**4/3 + 44*y**2. Solve l(n) = 0 for n.
-2, -1, 0
Let s(f) = f**2. Let j(g) = 4*g**2 - 60*g - 450. Let o(d) = -j(d) + 6*s(d). Suppose o(c) = 0. Calculate c.
-15
Factor 0*a + 29/5*a**3 + 0 + 1/5*a**4 + 0*a**2.
a**3*(a + 29)/5
Let k(u) = 2*u**2 - 2*u + 1. Let y be k(3). Factor 3*m**4 + y*m**3 + 14*m**2 + 11 - 19 + 3*m - 7*m.
(m + 1)*(m + 2)**2*(3*m - 2)
Let t(l) be the second derivative of -l**6/15 + l**5/2 + l**4/6 - 5*l**3/3 - l + 1. Factor t(g).
-2*g*(g - 5)*(g - 1)*(g + 1)
Let p(t) be the first derivative of -t**4/90 + 2*t**3/5 - 27*t**2/5 - 8*t - 8. Let z(l) be the first derivative of p(l). Factor z(x).
-2*(x - 9)**2/15
Let x(r) be the second derivative of r**7/20160 + r**6/2880 - 11*r**4/12 - 3*r. Let g(z) be the third derivative of x(z). Let g(m) = 0. What is m?
-2, 0
Let k(b) = 100*b**2 - 145*b. Let t be 39/65 - (-27)/5. Let f(w) = -11*w**2 + 16*w. Let m(g) = t*k(g) + 55*f(g). Suppose m(v) = 0. What is v?
0, 2
Let y be 1/3 - ((-28)/(-6))/(-7). Suppose 0 = -3*a - 5*b + 11, -b + 8 - y = 3*a. Solve -l**3 + 0 + 0*l + l**4 + 0*l**a - 1/4*l**5 = 0.
0, 2
Let x be ((-1)/8*0)/2. Factor x + 6/17*o**2 + 6/17*o**3 + 2/17*o + 2/17*o**4.
2*o*(o + 1)**3/17
Suppose 17*u = 3*u - 0*u. Suppose 12 = -3*c + 7*c. Suppose 4/7*h**c - 6/7*h**4 + 2/7*h**2 + 0*h + u = 0. What is h?
-1/3, 0, 1
Let n(z) = 42*z**3 + 99*z**2 - 18*z - 6. Let u(m) = 40*m**3 + 98*m**2 - 20*m - 7. Let l(t) = -7*n(t) + 6*u(t). Determine x so that l(x) = 0.
-2, 0, 1/18
Let s = -644 + 646. Let x(z) be the first derivative of -4/3*z**2 + 2/15*z**5 - 8/9*z**3 + 1/6*z**4 + 0*z - s. Factor x(j).
2*j*(j - 2)*(j + 1)*(j + 2)/3
Let t be -3 + ((-2)/8 - 17/(-4)). Let j(y) = -3*y**5 - y**4 - y**3 - y**2 - 2*y. Let q(u) = -u**5 - u**4 - u**3 - u. Let f(a) = t*j(a) - 2*q(a). Factor f(n).
-n**2*(n - 1)**2*(n + 1)
Determine c so that 0*c**3 - 32*c**2 + 4*c**2 - 3375 + c**3 - 17*c**2 + 675*c = 0.
15
Suppose -30*p + 83 = -97. Let y(d) be the second derivative of 0*d**3 + 1/42*d**4 + 6*d + 0 + 0*d**2 - 1/21*d**p - 1/49*d**7 - 1/70*d**5. Factor y(g).
-2*g**2*(g + 1)**2*(3*g - 1)/7
Factor 27 + 5*i**2 - 13 + 92*i - i**2 + 56 + 98.
4*(i + 2)*(i + 21)
Let s(x) be the third derivative of x**6/540 + 2*x**5/135 - x**4/27 - 16*x**3/27 + 128*x**2. What is g in s(g) = 0?
-4, -2, 2
Let y(z) be the first derivative of -1/4*z**4 - 2*z + 0*z**2 - 1/30*z**6 + 3/20*z**5 + 1/6*z**3 + 2. Let s(r) be the first derivative of y(r). Factor s(x).
-x*(x - 1)**3
Let l(y) be the second derivative of y**5/10 + y**4/2 + 69*y. Factor l(t).
2*t**2*(t + 3)
Dete