*f - 10, -2*o = 5*f + 21. Factor 4/3*y + 4/9*y**4 - 4/3*y**3 + 4/9*y**o - 8/9.
4*(y - 2)*(y - 1)**2*(y + 1)/9
Let n be 160/2*35/20. Let m = -279/2 + n. Factor 1/4*z**2 + 1/4 - m*z.
(z - 1)**2/4
Let m(w) be the first derivative of -3*w**4/8 + 9*w**2/4 + 3*w - 92. Determine z, given that m(z) = 0.
-1, 2
Let r(o) = -5*o**3 + 5*o**2 - o - 2. Let h(g) = -g**3 + g**2 - g. Let k(z) = z**2 - 4*z + 3. Let y be k(2). Let m(b) = y*r(b) + 3*h(b). Factor m(f).
2*(f - 1)**2*(f + 1)
Let h be -3 + 66/110 + 1*3. Suppose 0*q + 12/5*q**3 + 0 + h*q**4 + 12/5*q**2 = 0. Calculate q.
-2, 0
Let k(d) be the third derivative of 3*d**5/50 + 17*d**4/30 - 8*d**3/15 + d**2 + 35*d. Factor k(t).
2*(t + 4)*(9*t - 2)/5
Let f(m) = 3*m - 10. Let l be f(12). Suppose 3*o - l = 4*s, -2*o + 2*s + 12 = -o. Find j such that -4/3*j - 4/3*j**o + 8/3 = 0.
-2, 1
Let y(p) be the first derivative of 1/3*p**3 - 1/2*p**2 + 14 + 1/3*p - 1/12*p**4. Factor y(s).
-(s - 1)**3/3
Let o(s) be the second derivative of 2*s**7/21 - 173*s**6/10 - 591*s**5/10 - 791*s**4/12 - 22*s**3 - 45*s. What is w in o(w) = 0?
-1, -1/4, 0, 132
Let s(d) be the first derivative of -d**4/2 + 86*d**3/15 + 68*d**2/5 + 8*d + 1042. Find i, given that s(i) = 0.
-1, -2/5, 10
Let t(z) = -5*z**4 - 11*z**3 - 19*z**2 - 7*z - 6. Let i(b) = -11*b**4 - 22*b**3 - 37*b**2 - 13*b - 13. Let u(h) = 6*i(h) - 13*t(h). Factor u(v).
-v*(v - 13)*(v + 1)**2
Suppose 3*a + 2390 = -7*a. Let h = -2627/11 - a. Suppose 6/11*x**2 - 6/11*x - 2/11*x**3 + h = 0. What is x?
1
Let x(p) = -p**3 - 2*p**2 + p + 8. Let q be x(-2). What is l in -q - 3/2*l**4 + 9*l**3 - 39/2*l**2 + 18*l = 0?
1, 2
Let h(n) = -n - 3*n - 68*n**2 + 67*n**2 + 3 + n. Let q be h(-3). Let 3*r + 6*r**2 + 3 + q*r**4 + 3*r**5 - 6*r**3 + 0*r - 12*r**2 = 0. What is r?
-1, 1
Let y(t) be the second derivative of -t**6/30 + 3*t**5/20 - t**4/12 - t**3/2 + t**2 - 14*t. Determine d, given that y(d) = 0.
-1, 1, 2
Let y be (-104)/32 - 2/(-8). Let f(p) = 4*p - 2. Let w(q) = -q**2 - 4*q + 2. Let k(u) = y*f(u) - 2*w(u). Find m such that k(m) = 0.
1
Let l(b) be the second derivative of 5/24*b**4 + 12*b + 0*b**2 + 0 + 1/10*b**5 + 1/60*b**6 + 1/6*b**3. Factor l(i).
i*(i + 1)**2*(i + 2)/2
Let t(d) be the second derivative of -d**5/70 - d**4/6 + 2*d + 62. What is h in t(h) = 0?
-7, 0
Let g(z) be the second derivative of -z**5/4 + 25*z**4/3 - 185*z**3/6 + 45*z**2 - 21*z + 1. Factor g(j).
-5*(j - 18)*(j - 1)**2
Factor 35*i**4 - 5*i**3 - i**2 + 43*i**4 - 24 + 20*i - 110*i**4 + 3*i**2 + 33*i**4.
(i - 3)*(i - 2)**2*(i + 2)
Let x(h) be the first derivative of 26*h**3 + 18 + 19/2*h**4 + 29*h**2 + 12*h + 6/5*h**5. Determine u so that x(u) = 0.
-3, -2, -1, -1/3
Let r(u) = 14*u**2 + 44*u + 11. Let p(y) = 5*y**2 + 15*y + 4. Let v(d) = 11*p(d) - 4*r(d). Let v(w) = 0. Calculate w.
-11, 0
Let j(g) be the second derivative of -g**4/90 - 4*g + 1. Factor j(l).
-2*l**2/15
Let z(k) = k**2 - 4*k - 9. Let q be z(-2). Let f(s) be the first derivative of -7/15*s**q - 1 + 6/5*s**2 + 4/5*s. Solve f(c) = 0.
-2/7, 2
Let m(q) be the third derivative of -q**8/1008 + q**7/315 + q**6/72 - q**5/30 - q**2 - 28. Determine a so that m(a) = 0.
-2, 0, 1, 3
Let v be 3/(-18)*3*94. Let n = -47 - v. Factor 2/7*f**3 + 2/7*f**4 + n*f - 2/7*f**5 + 0 - 2/7*f**2.
-2*f**2*(f - 1)**2*(f + 1)/7
Find k such that 48/7*k**4 - 32*k**3 - 540/7*k - 4/7*k**5 + 72*k**2 + 216/7 = 0.
1, 2, 3
Let g(a) be the second derivative of -5*a**5/8 + 5*a**4/8 + 155*a**3/6 + 30*a**2 - 258*a. Suppose g(r) = 0. Calculate r.
-3, -2/5, 4
Suppose -4*q - 4 = -16. Factor -3*j**2 + 0*j**q - j + 3*j**4 + 4*j - 3*j**3.
3*j*(j - 1)**2*(j + 1)
Factor 448*s - 256 + 1481*s**2 - 1737*s**2 + 4*s**3 + 11*s**3 + 17*s**3 - 4*s**5 + 28*s**4 - 12*s**4.
-4*(s - 2)**4*(s + 4)
Suppose 5*r - 6 = 4. Let d = -178 - -182. Suppose v**d - 2 - 5*v - 3*v**r + 0 + v**3 + 0*v**3 = 0. Calculate v.
-1, 2
Let k(l) = 7*l**2 - 14*l. Let j(u) = -2*u**2 - u. Let g(x) = -6*j(x) - k(x). Factor g(z).
5*z*(z + 4)
Let a(o) = 2*o**2 + 10*o - 76. Let n(g) = 2*g**2 + 9*g - 74. Let l(m) = 6*a(m) - 4*n(m). Factor l(i).
4*(i - 4)*(i + 10)
Let p(q) = q**3 - 2*q**2 - 3*q + 2. Let c be p(3). Suppose -j = -2*j + c. Factor -w**4 - 5*w**4 + 2*w**4 + j*w**4.
-2*w**4
Let z(x) = -x**3 - 7*x**2 - 8*x - 7. Let y be z(-6). Suppose -u - 5*j = 2*u + 7, -y*j = -2*u + 12. Determine w so that 0 - 6*w**2 + u + 3*w + 2 = 0.
-1/2, 1
Let o(p) be the second derivative of p**4/84 + 27*p**3/7 + 6561*p**2/14 - p + 103. Factor o(z).
(z + 81)**2/7
Factor 16/7*n - 4/7*n**3 + 2/7*n**4 + 0 - 8/7*n**2.
2*n*(n - 2)**2*(n + 2)/7
Let q = -3208 - -6421/2. Let y be (1/2)/((-1)/(-3)). Determine r, given that y*r**2 - 5/2*r**3 + 1/2 - 2*r**4 + q*r = 0.
-1, -1/4, 1
Solve -2/3 - 2/3*o + 1/6*o**2 + 1/6*o**3 = 0.
-2, -1, 2
Let n be (-3)/135 - 4/(-18). Let i be ((-4)/10)/(-3 + 3 - 1). Solve 1/5 + 0*h**2 - 2/5*h**3 - n*h**4 + i*h = 0 for h.
-1, 1
Let b be 108/(-81) - 2/(-1). Let r(h) be the first derivative of -7/4*h**4 - b*h**3 - 4 - 4/5*h**5 + 1/2*h**2 + 0*h. Suppose r(a) = 0. What is a?
-1, 0, 1/4
Let t(m) = -5*m + m**2 - 45 + 57 - 2*m**2. Let c be t(-6). Factor 15*n**4 + 8*n**3 - c*n - 2*n + 7 - 19*n**4 - 3.
-4*(n - 1)**3*(n + 1)
Let t be 2 + (-1)/(-3) + (-12)/36. Suppose -3*l - 5*z + 11 = 0, 9 = 7*l - t*l - z. Find m, given that 0*m**4 + 0 - 4/3*m**l - 2*m**3 + 0*m + 2/3*m**5 = 0.
-1, 0, 2
Solve -8*l - 9*l**2 + 3*l**2 + l**4 + 6*l**2 + 2*l**3 - 4*l**2 = 0.
-2, 0, 2
Let m(b) = -b**3 - 17*b**2 - 5*b + 5. Let s(p) = -2*p**2 - p. Let i(n) = 5*m(n) - 30*s(n). Find y such that i(y) = 0.
-5, -1, 1
Let v(k) = k**2 - 2*k + 1. Let p(b) = 420*b**3 - 285*b**2 - 135*b. Let m(s) = p(s) - 6*v(s). Let m(t) = 0. What is t?
-1/4, -2/35, 1
Let b be 4002/(-203) + (-2)/7. Let o be (68 + -64)/(3/((-6)/b)). Factor -1/5*j**4 - 1/5 + 2/5*j**2 - o*j**3 + 1/5*j**5 + 1/5*j.
(j - 1)**3*(j + 1)**2/5
Let r(m) be the second derivative of -121*m**5/4 + 385*m**4/12 + 100*m**3/3 + 10*m**2 + 110*m. Factor r(c).
-5*(c - 1)*(11*c + 2)**2
Let h(i) be the first derivative of 3*i**5/10 - 5*i**4/4 + 2*i**3 - 3*i**2/2 + i/2 - 32. Solve h(m) = 0.
1/3, 1
Let m = -9751/4 - -2438. Factor -m*v**2 - 9 - 3*v.
-(v + 6)**2/4
Let 2/19*s**3 + 4/19*s**2 + 0 + 2/19*s = 0. What is s?
-1, 0
Factor 2 - 9*s**2 + 14*s**4 - s**3 - 3*s - 8*s**4 - 3*s**4.
(s - 2)*(s + 1)**2*(3*s - 1)
Suppose -22*l - 48 = -38*l. Find c such that 4/5*c**4 + 11/5*c**2 - 2/5*c - 13/5*c**l + 0 = 0.
0, 1/4, 1, 2
Factor 36/7*m**3 - 1580/7*m - 264/7 - 336*m**2.
4*(m - 66)*(3*m + 1)**2/7
Let n be 2/21*(-196)/(-2448)*3. Let s = 16559/1530 - n. Factor 2/5*y**3 + s*y + 54/5 + 18/5*y**2.
2*(y + 3)**3/5
Factor k**5 + 0*k + 0*k**2 + 0 + 17/2*k**4 + 4*k**3.
k**3*(k + 8)*(2*k + 1)/2
Let q(p) be the first derivative of 25*p**4/18 - 1060*p**3/27 - 436*p**2/9 - 176*p/9 + 20. Factor q(f).
2*(f - 22)*(5*f + 2)**2/9
Let n be ((-81)/18)/((-9)/12). Let i(j) be the third derivative of 7/12*j**4 + n*j**2 + 1/105*j**7 + 0 + 0*j + 2/3*j**3 + 1/12*j**6 + 3/10*j**5. Factor i(g).
2*(g + 1)**3*(g + 2)
Suppose 4*h - 2*h - 4 = 0. Let a(g) be the third derivative of 0*g + 2*g**h + 1/16*g**4 - 1/120*g**5 - 1/6*g**3 + 0. Find t such that a(t) = 0.
1, 2
Suppose 610 - 2*k**2 - 610 + k**3 - 10*k**2 = 0. What is k?
0, 12
Find k such that -12*k**4 + 17*k**4 + 72*k**2 + 5*k**3 - k**4 - 81*k**3 = 0.
0, 1, 18
Let q be ((-95)/(-15) + -6)/((-1)/(-27)). Suppose 0 = l + 6 - q. Solve -4/3*z**2 + 16/3*z**4 + 0*z + 0 + 4*z**l = 0.
-1, 0, 1/4
Suppose 4*y + 1 + 31 = 4*m, -1 = 3*m + 2*y. Factor -34/3*b + m*b**2 - 8/3.
(b - 4)*(9*b + 2)/3
Let b = -50 + 52. Find i such that -24 + 0*i**3 - 4*i - 4*i**3 - 2*i**3 + 16*i**b + 2*i**3 = 0.
-1, 2, 3
What is s in -3/2*s**4 + 0*s + 0 - 18*s**2 - 39/2*s**3 = 0?
-12, -1, 0
Let m(c) be the third derivative of -c**6/40 + c**4/8 + 220*c**2. Determine o, given that m(o) = 0.
-1, 0, 1
Let t(f) be the third derivative of -1/4*f**4 + 0 + 0*f**3 - 8/15*f**6 + 9*f**2 + 0*f + 4/21*f**7 + 17/30*f**5. Factor t(m).
2*m*(2*m - 1)**2*(5*m - 3)
Let r = 237 - 2132/9. Let v(j) be the first derivative of -1/3*j**2 - 4/9*j**3 + 0*j**4 + 0*j + r*j**6 + 4/15*j**5 + 5. Factor v(n).
2*n*(n - 1)*(n + 1)**3/3
Let i(s) be the third derivative of 1/12*s**5 + 0 + 5/8*s**4 + 5/3*s**3 + 0*s + s**2. Let i(j) = 0. Calculate j.
-2, -1
Let u(x) = x**3 + 7*x**2 - 10*x + 1. Let y be u(-8). Find 