1)**2
Let l(r) be the first derivative of r**6 - 26*r**5/5 + 11*r**4 - 12*r**3 + 7*r**2 - 2*r + 17. Factor l(s).
2*(s - 1)**4*(3*s - 1)
Let u(h) be the second derivative of -1/90*h**5 + 1/27*h**3 + 1/27*h**4 - 2/9*h**2 + 0 + 4*h. Find g, given that u(g) = 0.
-1, 1, 2
Determine s, given that 6*s**4 - 4*s**2 + 4*s**3 - 6*s + 0*s**3 + 2*s**5 - 6 + 4 = 0.
-1, 1
Suppose 0 = -2*y - 4*s - 12, -5*s + 15 = y - 10*s. Let v be 12/54 + 4/(-18). Solve v*g**2 + y*g + 2*g + 2*g**2 = 0.
-1, 0
Suppose -5*y + 20 = -0*y. What is g in 7 - g**3 + g**2 - g**y + g - 7 = 0?
-1, 0, 1
Let v(f) be the second derivative of 3*f**4/4 + 11*f**3/2 - 6*f**2 - 39*f. Factor v(p).
3*(p + 4)*(3*p - 1)
Let p(h) = h**3 - 6*h**2 - 7*h + 5. Let a be p(7). Let -4*t**3 + t**2 + t**3 + t**a - t**4 + 2*t**3 = 0. What is t?
-1, 0, 1
Let f be -2*(-1 + 3 + -12). Let h be 12/7 + f/70. Factor 0*k - 1/2*k**h + 0.
-k**2/2
Suppose 12 = 4*q - 12. Let b be 12/(2 - q) + 5. Let 0*h + 0 + 0*h**b + 2/7*h**3 = 0. What is h?
0
Let q(n) be the third derivative of -n**5/210 - n**4/42 - n**3/21 - n**2. Factor q(u).
-2*(u + 1)**2/7
Suppose 0 = -4*i + 4*z, 3*i + i - 10 = -z. Let 8 - 4*y - y + 2*y**i + 9*y + 4*y = 0. What is y?
-2
Find s, given that 2*s + 0*s - s**2 - s = 0.
0, 1
Suppose 4 = 2*w, -2*q = -q + w - 4. Factor -4*v - 6 + 2 + 4 - 4 - v**q.
-(v + 2)**2
Suppose -x**4 + 2/3*x - 2*x**2 + 0 + 13/6*x**3 + 1/6*x**5 = 0. Calculate x.
0, 1, 2
Let h(z) be the first derivative of 4 + 4/3*z - 2/3*z**3 - 1/3*z**2. Factor h(g).
-2*(g + 1)*(3*g - 2)/3
Let i(p) be the third derivative of -p**6/40 - 7*p**5/20 - 15*p**4/8 - 9*p**3/2 - 7*p**2. Determine m, given that i(m) = 0.
-3, -1
Let t(s) be the first derivative of s**7/840 - s**6/180 + s**5/120 - 2*s**3/3 - 2. Let f(b) be the third derivative of t(b). Factor f(k).
k*(k - 1)**2
Let z = -343 - -2407/7. Let k(y) be the first derivative of -z*y**3 + 2/7*y - 8/35*y**5 - 1/7*y**2 - 11/14*y**4 - 1. Factor k(a).
-2*(a + 1)**3*(4*a - 1)/7
Suppose 4*r - 245 - 127 = 0. Let k = r - 463/5. What is s in -k*s**3 - 2*s**4 + 2*s**2 + 0 - 4/5*s + 6/5*s**5 = 0?
-1, 0, 2/3, 1
Let h(v) = -v**2 - v - 1. Let s(m) = -4*m**3 - 16*m**2 - 20*m - 32. Let c be 22 + 1/((-4)/(-8)). Let n(z) = c*h(z) - s(z). Solve n(j) = 0 for j.
-1, 1, 2
Determine n, given that -1/2*n**2 + 1/2*n**3 + 1/4 - 1/4*n**5 + 1/4*n**4 - 1/4*n = 0.
-1, 1
Let n(g) be the third derivative of g**8/1008 - g**7/210 + g**6/180 + g**5/90 - g**4/24 + g**3/18 + 6*g**2. Find q such that n(q) = 0.
-1, 1
Let u(x) = 4*x**4 + 8*x**3 + 3*x**2 - 11*x - 7. Let i(c) = -4*c**4 - 8*c**3 - 2*c**2 + 10*c + 6. Let l(g) = 3*i(g) + 2*u(g). Determine a, given that l(a) = 0.
-1, 1
What is a in -3*a - 7*a - 2*a - 2*a - a**2 = 0?
-14, 0
Let t(o) be the second derivative of o**7/42 - o**6/60 + o**2/2 - o. Let g(p) be the first derivative of t(p). Solve g(q) = 0.
0, 2/5
Determine v so that 0 - 3/4*v**4 + 3/2*v**2 - 3/4*v**3 + 0*v = 0.
-2, 0, 1
Let b = 23 + 30. Let v = b - 211/4. Factor 0*m + 0 + 0*m**3 - 1/4*m**4 + v*m**2.
-m**2*(m - 1)*(m + 1)/4
Let u = 2 - 14. Let l be -4 + (-51)/u + 0. Suppose -1/4*t + l*t**3 - 1/4 + 1/4*t**2 = 0. What is t?
-1, 1
Let j(p) = -p**4 - 2*p**2 + p + 3*p**3 + 2*p**4 - p**2. Let m(v) = v**4 + 2*v**3 - 3*v**2. Let s(z) = 2*j(z) - 3*m(z). Factor s(n).
-n*(n - 2)*(n + 1)**2
Let u = -38 + 38. Let 0 + u*r - 2/11*r**2 = 0. What is r?
0
Factor -2/9*f**3 + 8/9*f + 0 + 0*f**2.
-2*f*(f - 2)*(f + 2)/9
Let n(m) be the third derivative of -m**7/735 - m**6/140 - m**5/105 - 17*m**2. Factor n(y).
-2*y**2*(y + 1)*(y + 2)/7
What is a in 0 + 9/5*a**4 + 3/5*a**5 - 9/5*a**2 + 3/5*a**3 - 6/5*a = 0?
-2, -1, 0, 1
Let d be ((-10)/4)/(-5)*(5 - 5). Let k be (-2)/(-7)*14/6. Factor d + k*t**2 + 2/3*t.
2*t*(t + 1)/3
Let o(z) be the second derivative of -z**4/6 - 2*z**3/3 - z**2 + 9*z. Let o(c) = 0. Calculate c.
-1
Suppose p**3 + 6*p**2 + 8*p + 12*p**3 + 26*p**2 + p**3 = 0. Calculate p.
-2, -2/7, 0
Suppose 5*f - 3*m - 13 = 0, -5*f + 3 = 5*m - 2. Factor -6*c - c**f - 3*c**2 + 6*c + 2*c**3 + 2*c.
2*c*(c - 1)**2
Suppose 3*m = 6*m. Suppose 6*p - 11 - 7 = m. Determine v, given that 0*v**4 + 0 + 0*v**2 - 3/2*v - 3/2*v**5 + 3*v**p = 0.
-1, 0, 1
Let x be (-399)/(-14)*4/18. Let i = -188/15 - -76/5. Factor -4*m**3 + x*m**2 - i*m + 1/3.
-(m - 1)*(3*m - 1)*(4*m - 1)/3
Let u(o) = o - 8. Let f be u(7). Let c(j) = j**2 - 1 + 5*j - 4*j + 0*j. Let a(b) = -7*b**2 - 6*b + 7. Let l(n) = f*a(n) - 6*c(n). Solve l(d) = 0.
-1, 1
Let q = -3 - -5. Factor -2*f**3 + 5 - 5 - 3*f**q + 5*f**2.
-2*f**2*(f - 1)
Suppose -4*c + 4 = -o, 2*c + c - 5*o = -14. Factor 0 - i**3 + 0 + 6*i**4 - c*i**5 + 2*i**2 - 5*i**3.
-2*i**2*(i - 1)**3
Let r(z) be the third derivative of -z**5/450 + z**4/18 - z**3/5 - 2*z**2 + 24. Let r(t) = 0. Calculate t.
1, 9
Factor -16/5 - 32/5*z + 4/5*z**4 + 8/5*z**3 - 12/5*z**2.
4*(z - 2)*(z + 1)**2*(z + 2)/5
Suppose 4*t = h + 11, -t - 5*h + 21 = -2*t. Suppose u = n + 5, -t*n + 3 = 15. Factor 4 - x**u - 2 + x - 2*x.
-(x - 1)*(x + 2)
Let s be 2/12 + 13/(-6). Let j = s - -6. Factor j*y**2 - 5*y - 3*y - y**2 + 4.
(y - 2)*(3*y - 2)
Let c(i) be the second derivative of -i + 0*i**2 - 1/6*i**4 + 3/20*i**5 + 0 + 0*i**6 + 0*i**3 - 1/42*i**7. Factor c(k).
-k**2*(k - 1)**2*(k + 2)
Let p(m) be the second derivative of -25*m**6/8 - 15*m**5/4 - 15*m**4/8 - m**3/2 + m**2/2 + 3*m. Let w(d) be the first derivative of p(d). Factor w(k).
-3*(5*k + 1)**3
Let g(w) = -5*w**2 + 0*w + 4*w**2 + w + 2*w. Let m(n) be the third derivative of -n**3/6 + 3*n**2. Let f(s) = g(s) + 2*m(s). Factor f(q).
-(q - 2)*(q - 1)
Let d be (-9)/(-15) - (-17)/(-45). Let l = d - -1/9. Suppose -y**3 - 1/3*y + y**2 + l*y**4 + 0 = 0. What is y?
0, 1
Suppose 5*w - 15 - 5 = 0. Factor 3*f**w + f**2 - f + 3*f**3 - 5*f - 4*f**2 + 3*f.
3*f*(f - 1)*(f + 1)**2
Let q be (-14)/(-49) + (-24)/(-14). Let r(g) be the second derivative of -1/13*g**3 - 2*g - 1/26*g**4 + 0 - 1/13*g**q - 1/130*g**5. Find f such that r(f) = 0.
-1
Let d(o) be the second derivative of o**5 - 5*o**4/4 - 5*o**3/6 - 2*o. Solve d(j) = 0 for j.
-1/4, 0, 1
Let b = 4/45 - -26/45. What is l in 2/3*l**2 - b + 0*l = 0?
-1, 1
Let i = -4 + 11. Let z(t) = 2*t**2 + 36*t + 29. Let y(o) = o**2 + 24*o + 19. Let b(s) = i*y(s) - 5*z(s). Determine f so that b(f) = 0.
-2
Let a be 164/14 + (-2)/(-7). Let y = -10 + a. Solve -7/3*o + o**y + 7/3*o**3 - 5/3*o**4 + 2/3 = 0.
-1, 2/5, 1
Let p(s) be the first derivative of -9*s**5/5 - 3*s**4/2 - s**3/3 - 6. Solve p(m) = 0 for m.
-1/3, 0
Let o(f) = -180*f**2 + 155*f + 25. Let y(k) = -15*k**2 + 13*k + 2. Let j(a) = 3*o(a) - 35*y(a). Solve j(u) = 0 for u.
-1/3, 1
Let x(a) be the first derivative of 81*a**4/4 - 27*a**3/2 + 27*a**2/8 - 3*a/8 - 18. Factor x(i).
3*(6*i - 1)**3/8
Let s(q) be the third derivative of -q**7/70 - 3*q**6/40 - q**5/10 + 4*q**2. Factor s(v).
-3*v**2*(v + 1)*(v + 2)
Let l(q) = 21*q**3 - 57*q**2 + 132*q - 15. Let o(c) = 3*c**3 - 8*c**2 + 19*c - 2. Let j(i) = 4*l(i) - 27*o(i). Factor j(z).
3*(z - 2)*(z - 1)**2
Let h(j) be the third derivative of -1/72*j**8 - 1/12*j**6 - 19/315*j**7 + 0*j**3 + 1/18*j**4 - 1/90*j**5 + 0 + 0*j - 2*j**2. Suppose h(d) = 0. Calculate d.
-1, 0, 2/7
Factor 240/7*n + 288/7 + 2/7*n**3 - 46/7*n**2.
2*(n - 12)**2*(n + 1)/7
Let -13*y**4 - y**4 + 2*y**5 + 8*y**4 = 0. What is y?
0, 3
Let y be 1/(-1) + 195/135. Let n be (-2)/(-6) + 2/(-18). Factor y + n*r - 2/9*r**2.
-2*(r - 2)*(r + 1)/9
Let u(g) = 11*g**3 + 17*g**2 + 10*g + 13. Suppose -8*z + 36 = -4*z. Let s(c) = 8*c**2 + 5*c + 9 - 1 + 5*c**3 - 2. Let o(n) = z*s(n) - 4*u(n). Factor o(m).
(m + 1)**2*(m + 2)
Let t(i) be the second derivative of 0 - i**3 + 1/4*i**4 + 2*i + 3/2*i**2. What is f in t(f) = 0?
1
Factor 8/7*f + 2/7*f**2 + 0.
2*f*(f + 4)/7
Let y(o) be the first derivative of 4*o**3/9 + 10*o**2/3 + 16*o/3 + 22. Find j such that y(j) = 0.
-4, -1
Let x(k) be the first derivative of -2/3*k**3 - 2*k + 5 + 2*k**2. Let x(j) = 0. Calculate j.
1
Factor -19*b**4 - 18*b**5 + 3*b**4 + 14*b**5 + 48*b**2 - 36*b + 8*b**3.
-4*b*(b - 1)**2*(b + 3)**2
Let u(h) = -h**2 + 14*h + 3. Let r be u(14). Suppose 9 = 6*o - r*o. Solve -2/7*b - 6/7*b**2 + 0 - 6/7*b**o - 2/7*b**4 = 0.
-1, 0
Let p(z) be the third derivative of -1/8*z**4 + 0*z + 1/112*z**8 + 0*z**6 + 1/35*z**7 - 1/10*z**5 + 0 + 0*z**3 + 3*z**2. Factor p(w).
3*w*(w - 1)*(w + 1)**3
Let w = -5 - -9. Let