*i**2.
2*i*(i - 1)**3/9
Let q(y) = -5*y**3 + 6. Let t(g) be the first derivative of g**4/4 - g - 2. Suppose -14 = 3*h + 4. Let x(u) = h*t(u) - q(u). Solve x(j) = 0 for j.
0
Let r = 33 + -31. Let h(m) be the first derivative of -m**r - 8/3*m**3 + 0*m - 1. Solve h(l) = 0.
-1/4, 0
Let b(h) be the third derivative of -h**8/1344 - h**7/420 + h**5/120 + h**4/96 + 7*h**2. Factor b(a).
-a*(a - 1)*(a + 1)**3/4
Let n(o) be the third derivative of 1/15*o**5 - 1/3*o**4 + 1/10*o**6 + 0*o**3 + 0 + 4*o**2 + 0*o. Solve n(u) = 0.
-1, 0, 2/3
Factor -4/7*v**2 - 2*v**3 + 0 - 10/7*v**4 + 0*v.
-2*v**2*(v + 1)*(5*v + 2)/7
Let n(o) = o**3 - 4*o**2 + 5*o. Let j(i) = 5*i**2 - 6*i - i + i - 2*i**3. Let l(f) = 5*j(f) + 6*n(f). Let l(m) = 0. Calculate m.
0, 1/4
Suppose -1 = -k + 23. Suppose -3*z + 4*h - 16 = -z, 2*z = -4*h + k. Solve -4 - 5*f - f**2 - f - f**z = 0.
-2, -1
Suppose 0 = -5*i + 3*i + 4*g - 8, 0 = 2*i + 2*g - 4. Let u be 2 + i/((-6)/2). Factor 2*x**2 + x**2 + 2 - x - 6*x**u.
-(x + 1)*(3*x - 2)
Let o be 333/74*1/18. Factor -o*y**2 - 1/2 - 5/4*y + 3/4*y**4 + 5/4*y**3.
(y - 1)*(y + 1)**2*(3*y + 2)/4
Let x(f) be the second derivative of -f**5/4 - 5*f**4/6 + 5*f**3/6 + 5*f**2 + 7*f. Factor x(i).
-5*(i - 1)*(i + 1)*(i + 2)
Let d(y) be the third derivative of -y**6/300 + y**5/75 - y**4/60 - 12*y**2. Find o such that d(o) = 0.
0, 1
Let d(q) be the third derivative of -1/70*q**7 + 1/15*q**5 + 0 + 0*q - 1/24*q**6 + 1/6*q**4 + 0*q**3 + 6*q**2. Factor d(x).
-x*(x - 1)*(x + 2)*(3*x + 2)
Let d(m) be the second derivative of m**4/4 + 3*m**3/2 + 2*m. What is i in d(i) = 0?
-3, 0
Let r(h) be the second derivative of -h**4/24 + 5*h**3/12 - h**2 + 19*h. Find i such that r(i) = 0.
1, 4
Let m(h) = -4*h**2 + 4*h - 5. Let n(i) = 12*i**2 - 12*i + 14. Let s(u) = 14*m(u) + 5*n(u). Determine o so that s(o) = 0.
0, 1
Let s be ((-19)/11 - -2)*4/6. Determine f so that -2/11 - s*f + 4/11*f**2 = 0.
-1/2, 1
Let w = -313 - -316. Factor -2/7*y**w + 0 - 2/7*y**2 + 0*y.
-2*y**2*(y + 1)/7
Suppose 0 = -f + 2*f. Let m(h) = -2*h + 8. Let p be m(3). Find u, given that f + 2/7*u - 2/7*u**p = 0.
0, 1
Let v = 35 - 31. Let w(n) be the third derivative of -1/120*n**5 + 0*n - 3*n**2 + 0 + 1/24*n**v + 0*n**3. Factor w(m).
-m*(m - 2)/2
Let u be 3/3 - (-1 + 0). Let l = 5 + -1. Let 24*k + 5*k**3 - 10*k**2 - u*k**3 - k**2 - 12 - l*k**2 = 0. What is k?
1, 2
Let -56*v**2 - 94*v**3 + 3*v + 114*v**3 - 15*v = 0. What is v?
-1/5, 0, 3
Factor -13*j + 7*j + 8*j**2 + 6*j**3 - 11*j**4 + 2*j**5 + 3*j**4 - 2*j.
2*j*(j - 2)**2*(j - 1)*(j + 1)
Let k(q) be the first derivative of q**7/2520 + q**6/180 + q**5/30 + q**4/9 - q**3 - 1. Let z(f) be the third derivative of k(f). Suppose z(t) = 0. What is t?
-2
Let b(z) be the second derivative of 0*z**2 + 0*z**4 + 0 + 4*z + 0*z**3 - 1/35*z**5 - 2/105*z**6. Factor b(v).
-4*v**3*(v + 1)/7
Let c(k) be the third derivative of k**7/1260 + k**6/180 + k**4/24 + 2*k**2. Let j(d) be the second derivative of c(d). Factor j(y).
2*y*(y + 2)
Let m be (-12)/90 - (-4)/30. Let g(s) be the second derivative of 1/40*s**5 + m*s**2 + 2*s + 1/12*s**4 + 0*s**3 + 0. Determine c, given that g(c) = 0.
-2, 0
Let m(w) = -w**2 - 61*w. Let s(r) = -r**2 - 31*r. Let p(g) = 4*m(g) - 9*s(g). Factor p(u).
5*u*(u + 7)
Let u be (1 - (0 - 3)) + -3. Suppose -3*v + 29 = -u. Factor v*j**2 - 2*j + 8*j**4 - 7*j**3 - 10*j**3 + j**3.
2*j*(j - 1)*(2*j - 1)**2
Let b(t) = 3*t**2 - 6. Let w(n) = 9*n**2 - 17. Let g be (-493)/68 - (-3)/(-4). Let s(k) = g*b(k) + 3*w(k). Factor s(l).
3*(l - 1)*(l + 1)
Let t(d) be the second derivative of -d**9/9072 - d**8/1680 - d**7/1260 - d**3/3 - d. Let l(j) be the second derivative of t(j). Factor l(c).
-c**3*(c + 1)*(c + 2)/3
Factor 3*x**2 - 16 - 6*x + 16.
3*x*(x - 2)
Let j = -518/13 + 40. Let r = 98/39 + j. Find n, given that 2*n**4 - 8/3*n**2 + 0 + r*n**3 + 0*n = 0.
-2, 0, 2/3
Suppose 0 = 3*g + g - 744. Let y = g + -1300/7. Factor 0 + 2/7*s + y*s**2.
2*s*(s + 1)/7
Let y(j) = -3*j**3 - 9*j**2 + 3*j + 10. Let r(p) = 2*p**3 + 4*p**2 - 2*p - 5. Let i(n) = -5*r(n) - 3*y(n). Let q be i(7). Factor -2/7*a**3 + 2/7*a + 0*a**q + 0.
-2*a*(a - 1)*(a + 1)/7
Let m(k) be the second derivative of k**7/210 + k**6/150 - k**5/25 - k**4/15 - 10*k. Let m(g) = 0. What is g?
-2, -1, 0, 2
Let w(n) be the third derivative of n**8/168 - n**7/21 - n**6/12 + 5*n**5/6 + 10*n**4/3 + 16*n**3/3 + 6*n**2. Factor w(k).
2*(k - 4)**2*(k + 1)**3
Suppose -6 = 7*w - 20. Factor -5/3*u**w - 1 - 7/3*u - 1/3*u**3.
-(u + 1)**2*(u + 3)/3
Let v be 3/(-8) + 108/32. Factor -2/7*r**v + 0*r**2 + 6/7*r - 4/7.
-2*(r - 1)**2*(r + 2)/7
Let x(p) = p**3 - 7*p**2 - 7*p - 7. Let a be x(8). Factor a - 9*w - 1 + 7*w + 2*w**3.
2*w*(w - 1)*(w + 1)
Factor -4*z - 5*z**4 - 9*z + 10*z**3 + 5*z**2 + 3*z.
-5*z*(z - 2)*(z - 1)*(z + 1)
Let q(i) be the second derivative of 0*i**3 - 2*i + 0 - 1/15*i**5 + 1/2*i**2 + 1/12*i**4 + 1/60*i**6. Let o(a) be the first derivative of q(a). Factor o(g).
2*g*(g - 1)**2
Let f = 61/3 - 20. Let j(v) be the first derivative of 2/15*v**5 + f*v**2 + 2/3*v**3 - 1 + 0*v + 1/2*v**4. What is b in j(b) = 0?
-1, 0
Factor -98*z**2 + 3*z**4 - 92*z**2 - 6*z**3 + 181*z**2.
3*z**2*(z - 3)*(z + 1)
Let a(m) be the first derivative of -3/5*m**2 + 9/25*m**5 - 8/15*m**3 - 1/5*m + 2 + 2/15*m**6 + 1/10*m**4. Factor a(x).
(x - 1)*(x + 1)**3*(4*x + 1)/5
Let l = 3/40 - -29/40. What is x in 6/5*x + 2/5*x**5 + 0*x**4 - l + 4/5*x**2 - 8/5*x**3 = 0?
-2, -1, 1
Suppose 25*k - 34 - 16 = 0. Factor -1/5*y + 0 - 1/5*y**k.
-y*(y + 1)/5
Let w(x) be the third derivative of -x**8/56 + x**7/105 + x**6/30 - 14*x**2. Solve w(j) = 0 for j.
-2/3, 0, 1
Suppose -5*h = -4 - 11. Let q(n) be the second derivative of 0 + 0*n**2 + 1/20*n**5 + n + 0*n**h - 1/12*n**4. Solve q(d) = 0.
0, 1
Suppose 0 = -g + 2*g. Suppose 0*f - 3*f = g. Factor -1/4*w + 1/4*w**3 + f + 0*w**2.
w*(w - 1)*(w + 1)/4
Factor 1 + 1/4*o**2 - o.
(o - 2)**2/4
Let x(d) be the second derivative of d**6/90 - d**5/12 + d**4/4 - 7*d**3/18 + d**2/3 - 14*d. Factor x(g).
(g - 2)*(g - 1)**3/3
Suppose -5*q - 3 = 3*h - 4*q, -5*h - q = 3. Find u, given that 1/2*u**2 + h - 1/2*u = 0.
0, 1
Let d be 2/((82 + 8)/9). Factor -d - 2/5*l - 1/5*l**2.
-(l + 1)**2/5
Let y(f) be the first derivative of -f**8/6720 - f**7/3360 + f**3/3 - 1. Let q(w) be the third derivative of y(w). Suppose q(k) = 0. Calculate k.
-1, 0
Suppose -4*w - s - 2*s = -6, 3*w + 10 = 5*s. Solve w + 2/7*j**2 + 0*j = 0.
0
Factor -2/3 - 5/3*v**2 - 7/3*v.
-(v + 1)*(5*v + 2)/3
Let l(t) be the first derivative of t**4/42 + 2*t**3/21 + t**2/7 + 2*t - 3. Let o(j) be the first derivative of l(j). Let o(g) = 0. Calculate g.
-1
Suppose 0 = 48*h - 53*h. Suppose 1/2*d**3 + 0*d**4 - 1/2*d**5 + 0*d + h + 0*d**2 = 0. Calculate d.
-1, 0, 1
Let o(q) be the first derivative of -2*q**6/27 + 8*q**5/15 - 13*q**4/9 + 16*q**3/9 - 8*q**2/9 - 11. Factor o(v).
-4*v*(v - 2)**2*(v - 1)**2/9
Factor -6/7*h**3 + 3/7*h**5 + 3/7*h + 3/7*h**4 - 6/7*h**2 + 3/7.
3*(h - 1)**2*(h + 1)**3/7
Let m(a) = a**5 - a**3 + a**2 - a - 1. Let k(s) = 5*s**5 + 4*s**4 - 3*s**3 - s**2 - 5*s - 3. Let v(l) = 2*k(l) - 6*m(l). Determine r so that v(r) = 0.
-1, 0, 1
Suppose 4*a = r - 7, -a + 2*a - 17 = 4*r. Let l be (72/21)/a - -2. Find t such that 0*t**2 + 2/7*t**3 - l*t - 4/7 = 0.
-1, 2
Let a(g) be the first derivative of -2*g**3/9 - g**2/3 + 4*g/3 - 25. Factor a(u).
-2*(u - 1)*(u + 2)/3
Let l(u) be the first derivative of u**6/120 - u**4/8 - 2*u**3/3 - 4. Let w(c) be the third derivative of l(c). Factor w(j).
3*(j - 1)*(j + 1)
Let g = -286 - -290. Find f such that -2*f**3 + 0 + 2*f**2 - 2/3*f + 2/3*f**g = 0.
0, 1
Let m(c) be the first derivative of -2*c**5/65 + 4*c**3/39 - 2*c/13 + 14. Factor m(k).
-2*(k - 1)**2*(k + 1)**2/13
Let c(y) be the third derivative of y**6/30 + y**5/5 + y**4/2 + 2*y**3/3 + 6*y**2. Suppose c(f) = 0. Calculate f.
-1
Let p = -20 + 16. Let z be 1/(-3) - (p + 3). What is a in -z*a - 2/3*a**2 + 4/3 = 0?
-2, 1
Let s be (-6)/15 - 46/(-40). Suppose 0 = -9*i + 4*i + 10. Factor 7/4*u**i + 0 + s*u**4 - 2*u**3 - 1/2*u.
u*(u - 1)**2*(3*u - 2)/4
Let h(p) be the third derivative of -p**6/120 - p**5/30 - 11*p**2. Find j, given that h(j) = 0.
-2, 0
Suppose 0 = -4*q - 7 + 7. Factor 2/11*a + q - 2/11*a**2.
-2*a*(a - 1)/11
Let j be (-20)/(-16)*-17 - -2. Let s = j + 547/28. Factor s*t**2 + 2/7*t + 0.
2*t*(t + 