 3*i + 0 - 1/6*i**3 - 1/40*i**6. Let v(h) be the first derivative of j(h). Factor v(f).
-(f - 1)*(f + 1)*(3*f - 1)
Solve -5/2*c**4 + 0 - 1/2*c**5 - 7/2*c**2 - 9/2*c**3 - c = 0 for c.
-2, -1, 0
Let s(h) be the third derivative of h**7/1155 + h**6/330 + h**5/330 - 3*h**2. Factor s(d).
2*d**2*(d + 1)**2/11
Suppose -4*c + 56 = 4*l, c - 18 = -5*l + 12. Suppose -3*y - 2*y = -c. Factor 4*h**y + 14*h**3 + 0*h + 4*h + 14*h**2.
2*h*(h + 1)*(7*h + 2)
Let d(p) be the second derivative of -p**4/84 - p**3/6 - 3*p**2/7 + 39*p. Factor d(n).
-(n + 1)*(n + 6)/7
Let -10/13*s - 2/13*s**2 + 12/13 = 0. What is s?
-6, 1
Let u(z) = 10*z**3 - 2*z**2 - 2*z + 5. Let p(l) = -l**3 + l**2 - 1. Let r = -4 - -3. Let h(q) = r*u(q) - 5*p(q). Factor h(o).
-o*(o + 1)*(5*o - 2)
Let y(r) be the third derivative of -r**6/60 - r**5/6 - 7*r**4/12 - r**3 - 20*r**2. Factor y(m).
-2*(m + 1)**2*(m + 3)
Let p(r) be the third derivative of -1/60*r**4 + 0*r + 3*r**2 + 0*r**6 - 2/525*r**7 + 0*r**3 + 1/840*r**8 + 1/75*r**5 + 0. Factor p(z).
2*z*(z - 1)**3*(z + 1)/5
Let t = -88 + 92. What is l in 0*l + 1/4*l**t + 0 + 0*l**2 + 1/4*l**3 = 0?
-1, 0
Let y(s) = -s + 9. Let d be y(4). Solve 0*k**2 + 0 + 1/2*k**4 + 0*k + 0*k**3 - 1/2*k**d = 0.
0, 1
Let r be 2 - (30/(-6))/20. Factor r*d**2 - 3/2*d + 0 - 3/4*d**3.
-3*d*(d - 2)*(d - 1)/4
Let s(a) be the second derivative of 0*a**2 - a + 0*a**4 - 1/100*a**5 + 0*a**3 + 0. Factor s(m).
-m**3/5
Let z(s) be the third derivative of -1/90*s**5 + 1/18*s**4 - 3*s**2 + 0*s - 1/9*s**3 + 0. Factor z(l).
-2*(l - 1)**2/3
Let t be -493*(-1)/(9/(-3)). Let y = -163 - t. Find x such that 0*x**4 + 2/3*x**5 - y*x**3 + 0*x**2 + 2/3*x + 0 = 0.
-1, 0, 1
Let x = -1/494 + 991/1482. Factor 0*q + 0 + x*q**3 - 2/3*q**2 + 2/3*q**4 - 2/3*q**5.
-2*q**2*(q - 1)**2*(q + 1)/3
Let r(u) be the first derivative of -u**7/2520 - 2*u**3/3 + 2. Let n(i) be the third derivative of r(i). Factor n(v).
-v**3/3
What is y in 0 + 0*y - 1/4*y**2 = 0?
0
Let n(m) be the second derivative of -7*m**7/180 - 7*m**6/90 - m**5/15 + m**4/6 - m. Let x(b) be the third derivative of n(b). Factor x(u).
-2*(7*u + 2)**2
Suppose 6*s = -6*s + 5*s. Let k(t) be the third derivative of 0*t**3 + 0*t + 1/330*t**5 + 2*t**2 + 0*t**4 + s - 1/660*t**6. Factor k(y).
-2*y**2*(y - 1)/11
Let i = -37 + 37. Let z(c) be the third derivative of 0 - 1/270*c**6 + 0*c - 1/270*c**5 - 1/945*c**7 - c**2 + 0*c**3 + i*c**4. Factor z(u).
-2*u**2*(u + 1)**2/9
Suppose -4*r - 4 = 2*c + 6, -3*r = -5*c + 40. Suppose 5*n + 15 = -c*q, n + 0*n - 3 = -4*q. Factor -2/3 + z - 1/3*z**q.
-(z - 2)*(z - 1)/3
Let a(z) = -10*z**2 - 10*z. Let q(m) = -28*m**2 + m - 29*m**2 + 58*m**2. Suppose 5*v - 22 - 3 = -3*p, 2*v + 11 = 3*p. Let x(y) = v*a(y) + 18*q(y). Factor x(s).
-2*s*(s + 1)
Let j = -5 - -7. Let l = j + 1. Determine p, given that -p - 4*p**2 + 0*p + l*p**2 = 0.
-1, 0
Let q(l) = -4*l**2 - 12*l - 15. Let g(s) = -2*s**2 - 6*s - 7. Let u(c) = -7*g(c) + 3*q(c). Solve u(m) = 0.
-2, -1
Let p be (-5)/(-5*5/10). Let 21/5*f**p - 33/5*f**3 + 3*f**4 + 0 - 3/5*f = 0. What is f?
0, 1/5, 1
Factor 2/5*f**3 + 4/5*f**2 + 2/5*f + 0.
2*f*(f + 1)**2/5
Let w(i) be the first derivative of -i**3/12 - 4*i**2 - 64*i - 63. Find q such that w(q) = 0.
-16
Let w(d) = -d - d**2 - 1 - 5 + 6*d + 2. Let k(r) = 2*r**2 - 5*r + 5. Let z(a) = 5*k(a) + 6*w(a). Factor z(s).
(s + 1)*(4*s + 1)
Let c(b) be the third derivative of -b**7/420 + b**6/90 - b**5/60 + b**3/6 - b**2. Let a(n) be the first derivative of c(n). Factor a(x).
-2*x*(x - 1)**2
Let h(j) = j + 13. Let x be h(-9). Let w(d) be the second derivative of 8/21*d**x + 4/21*d**3 - d - 5/21*d**6 + 0*d**2 + 0 + 1/14*d**5. Factor w(p).
-2*p*(p - 1)*(5*p + 2)**2/7
Factor -1/3*r**2 + 1/6*r**4 + 1/6*r**5 - 1/3*r**3 + 1/6*r + 1/6.
(r - 1)**2*(r + 1)**3/6
Let h(d) = -d**3 - 7*d**2 - 8*d + 12. Let v be h(-5). Factor 22*p + 3/2*p**4 + 157/6*p**v + 6 + 11*p**3.
(p + 3)**2*(3*p + 2)**2/6
Let u(j) be the second derivative of j**4/78 - 2*j**3/39 - 3*j**2/13 - 8*j. Factor u(g).
2*(g - 3)*(g + 1)/13
Suppose -10*s = -9*s + 3*i - 4, 0 = 4*s - 3*i - 16. Find g, given that 0 - 2/3*g**2 - 10/3*g**3 - 4/3*g**s + 4/3*g = 0.
-2, -1, 0, 1/2
Let x(d) = -5*d**5 - 14*d**4 + 6*d**2 - 11*d - 8. Let v(i) = 2*i**5 + 5*i**4 - 2*i**2 + 4*i + 3. Let h(s) = -8*v(s) - 3*x(s). What is o in h(o) = 0?
-1, 0, 1
Suppose -87*s**3 + 282/5*s**2 - 24/5 + 28/5*s - 35*s**4 = 0. What is s?
-3, -2/7, 2/5
Let i(l) = -10*l**2 - 14 + 0*l + 1 - 2*l. Let c(t) = -2*t + 6. Let o be c(4). Let j(f) = 3*f**2 + f + 4. Let v(h) = o*i(h) - 7*j(h). What is p in v(p) = 0?
-2, -1
Let p(x) be the third derivative of -x**6/420 - x**5/105 + x**4/84 + 2*x**3/21 + 3*x**2. Factor p(r).
-2*(r - 1)*(r + 1)*(r + 2)/7
Let k be (-8)/12*11/2. Let x = k - -4. Factor 0*d**2 + 2/3*d**3 + 0 - x*d**4 + 0*d.
-d**3*(d - 2)/3
Suppose -17 = -4*b - x, 0*x - 4*x + 20 = 0. Suppose -8*m = -6*m - 18. Factor -7*c**2 - 24*c**2 + 12*c**b + m*c**3 - 6*c**3 - 4 + 20*c.
(c - 1)*(3*c - 2)*(5*c - 2)
Suppose -6*y + 24 = -18. Let p(g) be the third derivative of 2/21*g**3 - 1/420*g**6 - 1/735*g**y + 1/70*g**5 - 3*g**2 + 0 + 5/84*g**4 + 0*g. Factor p(d).
-2*(d - 2)*(d + 1)**3/7
Let g(b) be the second derivative of b**4/72 + 7*b**3/36 + b**2/2 + 8*b. Let g(y) = 0. What is y?
-6, -1
Suppose -4*s + 14 = -x + 3*x, 4*s - 8 = 0. Factor -14*g**2 - 3*g**3 + 4*g + 9*g**4 - x*g**4 + 7*g**3.
2*g*(g - 1)*(g + 2)*(3*g - 1)
Let u be (6/4)/(3/(-6)). Let c be 0*(3/u - 0). Factor c + 1/3*q**2 + 1/3*q.
q*(q + 1)/3
Suppose 0 = -2*w + f - 3, 5*w + 3*f + 4 = 13. Find k such that -3/2*k + w - 9/2*k**2 - 3/2*k**4 - 9/2*k**3 = 0.
-1, 0
Let w(c) be the third derivative of -c**6/120 + c**5/4 - 25*c**4/8 + 125*c**3/6 + 8*c**2. Factor w(h).
-(h - 5)**3
Let h(j) be the first derivative of -j**8/840 + j**7/420 + j**6/180 - j**5/60 + j**3 + 4. Let z(w) be the third derivative of h(w). Factor z(i).
-2*i*(i - 1)**2*(i + 1)
Let p(w) be the second derivative of 1/12*w**4 + 4*w + 0 + 1/3*w**3 + 0*w**2. Let p(v) = 0. Calculate v.
-2, 0
Factor 2/5*m**4 - 6/5 - 4*m**2 + 19/5*m + 6/5*m**3 - 1/5*m**5.
-(m - 2)*(m - 1)**3*(m + 3)/5
Let f = 31 + -155. Let n = 377/3 + f. Suppose -n*b**2 - b + 2/3 = 0. What is b?
-1, 2/5
Find g, given that 2/7*g**3 + 0 + 6/7*g**2 + 4/7*g = 0.
-2, -1, 0
Suppose 4*m - 9 - 3 = 0. Let w(v) be the third derivative of 0 - 1/120*v**4 - 1/150*v**5 + 0*v**3 + 0*v + m*v**2. Factor w(l).
-l*(2*l + 1)/5
Let n(d) be the third derivative of -d**5/270 + d**4/36 - 2*d**3/27 + 7*d**2. Factor n(u).
-2*(u - 2)*(u - 1)/9
Let p = -3563/18 - -198. Let f(b) be the second derivative of 2*b + 1/90*b**6 + 0*b**3 + 0*b**2 + p*b**4 + 0 + 1/20*b**5. Factor f(u).
u**2*(u + 1)*(u + 2)/3
Let c(u) be the second derivative of -u**7/3780 - u**6/1080 + u**5/90 + u**4/12 - 3*u. Let o(a) be the third derivative of c(a). Factor o(h).
-2*(h - 1)*(h + 2)/3
Let c(v) be the second derivative of 1/66*v**4 + 0 - 2/33*v**3 - 3*v + 0*v**2. Factor c(w).
2*w*(w - 2)/11
Let s = 1 - 6. Let y(l) = -3*l**4 - 9*l**3 + 4*l**2 - 5. Let u(d) = 5*d**4 + 13*d**3 - 6*d**2 + 7. Let i(p) = s*u(p) - 7*y(p). Let i(f) = 0. What is f?
-1, 0, 1/2
Let y(j) = -j + 17. Let o be y(14). Factor -3*a**3 - a + 3*a**o - a**3 + 2*a.
-a*(a - 1)*(a + 1)
Let k(f) be the first derivative of -f**7/84 + f**6/12 - f**5/4 + 5*f**4/12 - 5*f**3/12 + f**2/4 + f - 3. Let a(m) be the first derivative of k(m). Factor a(t).
-(t - 1)**5/2
Let b(o) = o**2 - 7*o + 10. Let m be b(7). Let w be (-19)/(-7) + m/35. Let -3*n**2 + w*n**2 - 2*n**3 + 2*n = 0. What is n?
-1, 0, 1
Let w(y) be the third derivative of -y**8/112 + y**7/70 + 3*y**6/40 - y**5/20 - y**4/4 - 3*y**2. Find u, given that w(u) = 0.
-1, 0, 1, 2
Let k(i) = i**3 + 3*i**2 - i - 1. Let j be k(-1). What is x in 2/7*x**j + 0 + 2/7*x = 0?
-1, 0
Let m(y) be the first derivative of -7*y**6/360 + 3*y**5/40 - y**4/12 - y**3/3 - 4. Let k(x) be the third derivative of m(x). Factor k(w).
-(w - 1)*(7*w - 2)
Let h = -2/251 - -1010/753. Factor 0 + 4/3*g - h*g**2.
-4*g*(g - 1)/3
Let c(s) = s - 6. Let b be 24*((-3)/(-9) - 0). Let z be c(b). Factor -1/3*r**5 + 2/3*r**4 - 2/3*r**z + 0*r**3 + 0 + 1/3*r.
-r*(r - 1)**3*(r + 1)/3
Find t, given that 201/2*t**3 + 36*t + 171/2*t**2 + 6 + 117/2*t**4 + 27/2*t**5 = 0.
-1, -2/3
Suppose -2*o + o = 2. Let q(b) = 11*b**4 - 10*b**3 - 4*b**2 + 14*b - 1. Let r(d) = 