 2 - 3/(-9). Factor -7/3*a**4 + k + 1/3*a + 19/3*a**3 - 5*a**2.
-(a - 1)**3*(7*a + 2)/3
Let n(g) be the first derivative of -3*g**3 - 18*g**2 - 12*g + 15/4*g**4 + 3. Determine w so that n(w) = 0.
-1, -2/5, 2
Let r be 4/2 - (-18)/(-3). Let l(z) = 5*z**3 - z**2 + 4*z. Let a(m) = -11*m**3 + 2*m**2 - 9*m. Let w(n) = r*a(n) - 9*l(n). Solve w(g) = 0.
0, 1
Let a(i) be the first derivative of -i**7/1470 - i**6/840 + i**5/140 + 5*i**4/168 + i**3/21 + i**2 + 2. Let q(m) be the second derivative of a(m). Factor q(z).
-(z - 2)*(z + 1)**3/7
Let c = 517/5 + -103. Find y such that c*y**3 - 2/5*y + 0*y**2 + 1/5*y**4 - 1/5 = 0.
-1, 1
Let m(k) be the third derivative of -k**5/15 + k**4/3 + 9*k**2. Suppose m(u) = 0. Calculate u.
0, 2
Let s(k) = 3*k**3 - 7*k**2 + 2*k + 2. Let t(n) = 2*n**3 - 4*n**2 + n + 1. Let w be ((-3)/5)/(3/(-15)). Let a(i) = w*s(i) - 5*t(i). Let a(o) = 0. What is o?
-1, 1
Suppose -3 = 3*k - 12. Suppose -8 = -5*d + o + 4, 2*d - 15 = -k*o. Solve -6*y**5 - 2*y**d + 0*y**2 + 0*y**2 - 8*y**4 = 0 for y.
-1, -1/3, 0
Let k = -8 + 13. Let u(c) = -c**3 + 6*c**2 - 4*c - 5. Let a be u(k). Determine v, given that -8/5*v**2 + 2*v**3 - 4/5*v**4 + 2/5*v + a = 0.
0, 1/2, 1
Let j be -1 - 10/(-12)*2. Let c be (-2)/(-5 - (-14)/4). Factor -c*f - j - 2/3*f**2.
-2*(f + 1)**2/3
Let n(u) be the third derivative of u**9/9072 + u**8/2520 - u**7/2520 - u**6/540 - u**3/6 + u**2. Let y(t) be the first derivative of n(t). Solve y(q) = 0.
-2, -1, 0, 1
Factor 1/5*f**3 - 1/10*f - 1/10*f**5 + 1/10*f**4 - 1/5*f**2 + 1/10.
-(f - 1)**3*(f + 1)**2/10
Factor 3/2*s**5 + 0 + 27/2*s**3 + 3*s - 21/2*s**2 - 15/2*s**4.
3*s*(s - 2)*(s - 1)**3/2
Suppose 72 = 4*d + 4*a, -5*a = -d - 2*d + 14. Factor 0*h**2 + 12*h + 3*h**3 - d*h**2 + h**2.
3*h*(h - 2)**2
Let y be -2 - (-3 + (-9)/(-12)). Let t(a) be the first derivative of -1/2*a**2 + 0*a - y*a**4 - 2 + 2/3*a**3. Factor t(o).
-o*(o - 1)**2
Let l(d) = -3*d + 3 + 2*d**2 + 3*d**2 - 3*d**2. Let h be l(2). Suppose -6*n**h + 3*n**4 - n**4 + 0 + 0 = 0. Calculate n.
0, 1/3
Let i(p) be the second derivative of -5*p**7/42 - 11*p**6/90 + 13*p**5/60 + 11*p**4/36 + p**3/9 + 7*p. Let i(r) = 0. Calculate r.
-1, -2/5, -1/3, 0, 1
Let f = -178 - -891/5. Factor -f*t**4 + 3/5*t**2 + 0 + 0*t**3 - 2/5*t.
-t*(t - 1)**2*(t + 2)/5
Let g(a) = a - 3 + 0*a + 1. Let y be g(6). Factor 2*t**4 + 1 + 12*t**2 - 3 + y - 8*t**3 - 8*t.
2*(t - 1)**4
Suppose 2/11*y + 0 + 2/11*y**2 = 0. What is y?
-1, 0
Factor 0 + 18/5*b - 2/5*b**2.
-2*b*(b - 9)/5
Let g be 15/(-10) - (-134)/84. Let v(b) be the first derivative of g*b**3 + 0*b**2 + 2 + 0*b + 1/14*b**4. Factor v(h).
2*h**2*(h + 1)/7
Factor -2/7 + 0*y + 2/7*y**2.
2*(y - 1)*(y + 1)/7
Suppose 4 = l + 1. Factor 3*y**3 - 4*y**2 - y**l + 0*y**3.
2*y**2*(y - 2)
Let c(k) be the second derivative of -k**6/2 + 27*k**5/10 - 17*k**4/4 + 6*k**2 + 5*k. What is r in c(r) = 0?
-2/5, 1, 2
Let t(m) be the second derivative of -1/6*m**3 - m**2 + 1/6*m**4 + 1/20*m**5 + 2*m + 0. Suppose t(x) = 0. What is x?
-2, -1, 1
Suppose -3*g = g - 32. Let y be ((-1)/2)/((-1)/g). Factor -z**3 + 6*z**3 + 2*z**5 - 3*z**3 + y*z**4.
2*z**3*(z + 1)**2
Let m be (-21)/(-36) + (-2)/6. Suppose -4*b - 5*c - 5 = 0, 1 = 5*b - 5*c + 4*c. Factor b*g + 1/4*g**2 - m.
(g - 1)*(g + 1)/4
Suppose -2*z = -4*o + 104, 8*z - 5*o = 4*z - 211. Let n = 217/4 + z. Factor 1/2*q**3 + 0*q**2 - n + 1/4*q**4 - 1/2*q.
(q - 1)*(q + 1)**3/4
Let j(a) be the second derivative of a**4/18 + a**3/3 - 10*a**2/3 - 18*a - 2. Factor j(b).
2*(b - 2)*(b + 5)/3
Let z = 61/15 - 17/5. Let u = 5 + -3. Let -1/3*q**u - z*q + 0 = 0. What is q?
-2, 0
Suppose -3*q = -4 - 5. Factor -3*j**2 - 16 - q + 18*j - 8.
-3*(j - 3)**2
Let k(o) be the third derivative of o**7/1470 + o**6/840 - o**5/140 - o**4/168 + o**3/21 - 9*o**2. Factor k(f).
(f - 1)**2*(f + 1)*(f + 2)/7
Let u be (384/(-78) - -5)*39/6. What is i in -i - 3/2*i**2 - u*i**3 + 0 = 0?
-2, -1, 0
Let w be 2*2 + 74/(-80) + -3. Let k(f) be the second derivative of -1/24*f**3 - w*f**5 - 1/30*f**6 + 0*f**2 - 1/12*f**4 - 1/168*f**7 + 0 - 3*f. Factor k(q).
-q*(q + 1)**4/4
Let t = -26 - -47. Let a = t - 19. Factor -27/2*j**5 - 27/2*j**4 + 4*j + 9*j**3 + 0 + 14*j**a.
-j*(j - 1)*(3*j + 2)**3/2
Factor 1/3*x**3 - 1/3*x - 2/3 + 2/3*x**2.
(x - 1)*(x + 1)*(x + 2)/3
Let l(y) be the second derivative of 0 - 2*y - 3/2*y**2 + 0*y**3 + 1/16*y**4. Factor l(v).
3*(v - 2)*(v + 2)/4
Let i(b) = 13*b**4 + 25*b**3 + 58*b**2 + 47*b + 8. Let t(v) = 7*v**4 + 12*v**3 + 29*v**2 + 24*v + 4. Let r(y) = -4*i(y) + 7*t(y). Factor r(h).
-(h + 1)*(h + 2)**2*(3*h + 1)
Factor -2/5*a**2 - 4/5 - 6/5*a.
-2*(a + 1)*(a + 2)/5
Let p(w) be the first derivative of -3*w**4 - 6*w**3 - 3/5*w**5 - 6*w**2 - 3*w + 4. Determine d, given that p(d) = 0.
-1
Let x(p) = 15*p**3 - 25*p**2 - 10*p + 15. Let j(y) = 7*y**3 - 12*y**2 - 5*y + 8. Let g(u) = -5*j(u) + 2*x(u). Factor g(o).
-5*(o - 2)*(o - 1)*(o + 1)
Find a such that -3/4*a**2 + 1/4*a**4 + 1/2*a**3 + 1 - a = 0.
-2, 1
Let g(t) be the first derivative of t**5/150 - t**4/10 + 3*t**3/5 - t**2/2 - 3. Let y(c) be the second derivative of g(c). Factor y(n).
2*(n - 3)**2/5
Let n(z) be the third derivative of z**9/15120 - z**7/1260 + z**5/120 + z**4/8 + z**2. Let j(a) be the second derivative of n(a). Factor j(p).
(p - 1)**2*(p + 1)**2
Let a = 4996 - 114944/23. Let t = a - -534/253. Factor 2/11*j - t*j**2 + 6/11*j**3 - 2/11*j**4 + 0.
-2*j*(j - 1)**3/11
Solve 0*f + 0 - 7/5*f**5 + 0*f**2 + 26/5*f**4 + 8/5*f**3 = 0.
-2/7, 0, 4
Factor 0 - 5/2*k**2 + 5*k.
-5*k*(k - 2)/2
Let d(f) be the first derivative of 6*f + 2 + 2*f**2 + 2/9*f**3. Solve d(i) = 0 for i.
-3
Let h(s) be the third derivative of 0*s - 2*s**2 - 1/60*s**5 + 1/12*s**4 + 0 - 1/6*s**3. Factor h(w).
-(w - 1)**2
Determine l so that -1/3*l**2 - 22/3*l - 121/3 = 0.
-11
Let k = -4 - -10. Suppose 0 = -5*g + 2*w + 12, -g - 4*w = -14 - k. Find h, given that -h**3 - 1/2*h**g + 0*h - 1/2*h**2 + 0 = 0.
-1, 0
Let c be 2/(-9)*3/(-2). Let o be 4/18 - 4/18. Factor o*i + c*i**2 - 1/3.
(i - 1)*(i + 1)/3
Suppose 7*k - 8 = 3*k. Factor 2*n**3 + k*n**5 + 4*n**4 + 2 + 2 - 4.
2*n**3*(n + 1)**2
Let q = -3 + -2. Let a be (-14)/(-8) + q/(-20). Solve -m**2 - a*m**2 + 5*m**2 = 0.
0
Suppose 2*q = 3*q - 3. Factor 2*p**2 + p**3 - p**3 - 2*p**q.
-2*p**2*(p - 1)
Let s(a) be the third derivative of a**6/40 + a**5/20 - a**4/8 - a**3/2 + 5*a**2. Factor s(l).
3*(l - 1)*(l + 1)**2
Let y(q) be the second derivative of -q**7/1260 + q**5/180 + q**3/3 - 2*q. Let d(v) be the second derivative of y(v). Factor d(h).
-2*h*(h - 1)*(h + 1)/3
Let x(i) = i - 1. Let t(y) = -3*y**2 + 16*y + 2. Let k(j) = t(j) + 2*x(j). Determine q, given that k(q) = 0.
0, 6
Let m be -8 + 5 + 1 + -3. Let i be 2/m*25/(-9). Factor -2/3*j**2 + 4/9*j + 0 - i*j**3.
-2*j*(j + 1)*(5*j - 2)/9
Let g(z) be the first derivative of -z**5/45 + 2*z**3/27 - z/9 - 39. Factor g(d).
-(d - 1)**2*(d + 1)**2/9
Let c(a) be the third derivative of 3*a**5/100 + 7*a**4/120 - a**3/15 - 6*a**2. Factor c(y).
(y + 1)*(9*y - 2)/5
Let f(h) be the first derivative of -10*h**6 + 16*h**5/5 + 19*h**4 - 16*h**3/3 - 8*h**2 - 22. Determine g, given that f(g) = 0.
-1, -2/5, 0, 2/3, 1
Let k(o) be the third derivative of -o**7/315 + 7*o**5/90 + o**4/6 - 2*o**2 - 12. Find b, given that k(b) = 0.
-2, -1, 0, 3
Let w(z) be the third derivative of 3*z**2 + 0*z + 0*z**3 + 1/36*z**4 + 0 + 1/90*z**5. Factor w(x).
2*x*(x + 1)/3
Let q = -6/101 - -315/202. Let 2*r**2 - 1/2*r**3 + 0 - q*r = 0. What is r?
0, 1, 3
Let l be 5/25*(-6)/9. Let a = 1/15 - l. What is g in -1/5*g**3 + 1/5*g**4 + 2/5 - 3/5*g**2 + a*g = 0?
-1, 1, 2
Let k(z) be the first derivative of -1 - 4*z**3 - 3*z**3 + 6*z**3 - 3. Factor k(t).
-3*t**2
Let b(r) be the first derivative of 0*r - 3 + 1/12*r**2 - 1/18*r**3. Find a such that b(a) = 0.
0, 1
Let n(d) be the second derivative of -d**5/120 + 5*d**4/24 - 25*d**3/12 + 125*d**2/12 + 14*d. Solve n(b) = 0.
5
Let g = 8 - 70/9. Let h(j) be the second derivative of -1/9*j**3 + 1/54*j**4 + 2*j + g*j**2 + 0. Factor h(z).
2*(z - 2)*(z - 1)/9
Let y(o) be the third derivative of o**5/105 + o**4/6 + 4*o**3/7 + 24*o**2. Factor y(s).
4*(s + 1)*(s + 6)/7
Factor -1/2*g**2 + 0 - g.
-g*(g + 2)/2
Let i(j) = j**3 + 2*j**2 - 10*j - 8. Let s be i(-4). Factor -1/7*a**4 + 0*a**2 + 0 + 0*a + s*a**3 + 1/7*a**5.
a**4*(a - 1)/7
Factor -2/9*w - 2/9*w**2 + 2/