e the first derivative of 0*q - 13/4*q**4 - q**2 - 3 + 3*q**3 + 6/5*q**5. Determine x, given that r(x) = 0.
0, 1/2, 2/3, 1
Let n(k) be the second derivative of -k**6/1080 + k**4/72 - 5*k**3/6 - 2*k. Let r(t) be the second derivative of n(t). Find g, given that r(g) = 0.
-1, 1
Let t be 2/15 - 3/(450/(-205)). Let j(m) be the first derivative of -2 + t*m**4 + 2/5*m**5 + 2*m**3 + m**2 + 0*m. Factor j(h).
2*h*(h + 1)**3
Let j(v) be the third derivative of 1/210*v**7 + 0 + 1/24*v**4 - 1/120*v**6 + 0*v - 1/60*v**5 - v**2 + 0*v**3. Determine n, given that j(n) = 0.
-1, 0, 1
Let v(m) be the third derivative of 0*m + 1/40*m**5 + 5/48*m**4 - 1/6*m**3 + 0 + 4*m**2. Factor v(c).
(c + 2)*(3*c - 1)/2
Suppose 11 = -3*h - 31. Let g = h + 14. Factor -2*u**3 + 4/5*u + g + 6/5*u**2.
-2*u*(u - 1)*(5*u + 2)/5
Solve 2*v**4 - 3*v**2 + 55 - 3*v**2 - 55 - 4*v = 0 for v.
-1, 0, 2
Let d(r) = -5*r**5 - 31*r**4 + 7*r**3 + 31*r**2 + 19*r - 7. Let u(m) = -2*m**5 - 10*m**4 + 2*m**3 + 10*m**2 + 6*m - 2. Let c(o) = -2*d(o) + 7*u(o). Factor c(h).
-4*h*(h - 1)*(h + 1)**3
Factor 16/11*n + 8/11 + 10/11*n**2 + 2/11*n**3.
2*(n + 1)*(n + 2)**2/11
Let 2*z**2 + 2*z - z + 12*z**3 - z**4 - z**2 - 13*z**3 = 0. Calculate z.
-1, 0, 1
Suppose -3*f - 36 + 1 = 4*b, -3*f = -2*b + 5. Let u = 7 + b. Factor -3*h**3 - h**4 - 3*h**2 + 4*h**4 - u*h**5 + 5*h**5.
3*h**2*(h - 1)*(h + 1)**2
Let n(g) = -22*g - 86. Let j be n(-4). Factor 2/3*d**2 + 4/3*d - j.
2*(d - 1)*(d + 3)/3
Let w(a) be the second derivative of -a**8/47040 - a**7/5880 - a**6/2520 + a**4/4 - a. Let t(g) be the third derivative of w(g). Factor t(u).
-u*(u + 1)*(u + 2)/7
Let k be (-19)/38 + (-1)/(-2). Find o, given that 0*o**2 + k*o + 0 - 1/4*o**4 + 1/2*o**3 = 0.
0, 2
Let t be ((-7)/(-630))/((-2)/(-8)). Let u(s) be the first derivative of -2/27*s**3 + 0*s**2 - 1/18*s**4 + 1/27*s**6 - 2 + 0*s + t*s**5. Factor u(f).
2*f**2*(f - 1)*(f + 1)**2/9
Let p(k) = -k + 3. Let x be p(11). Let q be (x/(-12))/((-20)/(-6)). Find n such that 4/5 + 4/5*n + q*n**2 = 0.
-2
Let x(k) be the first derivative of k**3/15 + 2*k**2/5 + 3*k/5 - 2. Suppose x(j) = 0. Calculate j.
-3, -1
Let k(a) be the third derivative of -a**7/840 - a**6/720 + a**5/240 - a**3/2 - 2*a**2. Let h(b) be the first derivative of k(b). Solve h(l) = 0.
-1, 0, 1/2
Let k(m) be the first derivative of 8/5*m**3 - 4/5*m**5 - 2/5*m**6 + 2/5*m**2 + 2/5*m**4 - 2 - 4/5*m. Solve k(j) = 0 for j.
-1, 1/3, 1
Let j(c) be the first derivative of 1 + 0*c + 1/90*c**5 + 1/36*c**4 + 0*c**3 + c**2. Let v(s) be the second derivative of j(s). Factor v(f).
2*f*(f + 1)/3
Let f(i) be the first derivative of -2/7*i - 2 + 0*i**3 + 1/7*i**4 + 2/35*i**5 - 2/7*i**2. Solve f(v) = 0 for v.
-1, 1
Let m be ((-1)/3)/(13 + (-54)/4). What is j in 2/3*j + 0 + m*j**2 = 0?
-1, 0
Solve 10 + 4*l**5 - l - 5*l**5 - 6*l**3 - 10 - 4*l**2 - 4*l**4 = 0.
-1, 0
Let a(b) be the third derivative of -1/39*b**4 - 2/195*b**5 + 0*b - 3*b**2 + 0 + 0*b**3 - 1/780*b**6. Factor a(p).
-2*p*(p + 2)**2/13
Let y be (-1 - (-16)/12)/((-5)/(-3)). Let a = 331/184 + 1/920. Let -13/5*c**4 + c**5 + y*c**2 + a*c**3 + 0 - 2/5*c = 0. Calculate c.
-2/5, 0, 1
Let l(t) be the first derivative of -5*t**4/24 - t**3/2 - t**2/3 + 8. Suppose l(w) = 0. What is w?
-1, -4/5, 0
Let x(l) be the second derivative of -l**4/36 + 3*l**2/2 - 11*l. Let x(k) = 0. Calculate k.
-3, 3
Let g(h) be the third derivative of h**7/560 - h**6/80 + h**5/40 + h**3/2 - 2*h**2. Let c(v) be the first derivative of g(v). Suppose c(u) = 0. What is u?
0, 1, 2
Suppose -7*m + 3*m = -16. Suppose -m*u**3 - 21*u + 11*u - 16*u**2 - 10*u - 8 = 0. What is u?
-2, -1
Solve 4/17*y + 8/17*y**3 + 2/17*y**4 + 10/17*y**2 + 0 = 0.
-2, -1, 0
Let f(s) = s**3 - s**2 + 6*s - 4. Let d(z) = 2*z**3 - z**2 + 11*z - 7. Let u = -9 + 2. Let k(o) = u*f(o) + 4*d(o). Factor k(r).
r*(r + 1)*(r + 2)
Let h be 6/2 - 57/21. What is b in 2/7*b - 24/7*b**2 + h = 0?
-1/4, 1/3
Let k = 11828/6633 + -4/737. Let g = 29210/9 - 3242. Factor k*o**2 + 0 + g*o**3 + 2/9*o.
2*o*(4*o + 1)**2/9
Let m(d) be the third derivative of d**5/60 - 3*d**4/8 + d**2. Let t be m(9). Factor -1/2*r**3 - 1/2*r**4 + t + 0*r + 0*r**2.
-r**3*(r + 1)/2
Let d(v) be the second derivative of v**4/24 - v**3/6 - 3*v**2/4 - 11*v. Factor d(r).
(r - 3)*(r + 1)/2
Factor -1/6*p - 1/6*p**2 + 1.
-(p - 2)*(p + 3)/6
Let s = 1 + -1. Factor -6/5*c**3 + 0*c + 2/5*c**2 + s + 4/5*c**4.
2*c**2*(c - 1)*(2*c - 1)/5
Let q(x) = 2*x**2 + 16*x - 10. Let o(v) = v**2 + 1. Let s = 14 + -13. Let a(f) = s*q(f) - 6*o(f). Solve a(t) = 0.
2
Let b(v) = -v - 5. Let i be b(-5). Find g, given that -2/5*g**2 + i + 0*g = 0.
0
Let x(l) = l + 2. Let i be x(3). Determine b so that b**3 - i*b + 4*b**3 + 3*b - 3*b**3 = 0.
-1, 0, 1
Let j = -49 - -35. Let n be j/(-12)*(-3)/(-21). Factor 0 + 1/6*r**3 - 1/3*r**2 + n*r**4 + 0*r.
r**2*(r - 1)*(r + 2)/6
Suppose 0 = 2*s - 3*h - 15, -3*s = -0*h + 2*h + 10. Let b = 9 - 7. Find o such that -2*o**2 + 2*o**4 + 2 - 2*o**b - 2*o + 4*o**3 - 2*o**5 + s = 0.
-1, 1
Let i(f) be the first derivative of -2*f**3 - 3 - 1/2*f**4 - 3*f**2 - 2*f. Factor i(t).
-2*(t + 1)**3
Let 0 + 3/5*k**2 + 9/5*k**4 + 0*k - 3/5*k**5 - 9/5*k**3 = 0. Calculate k.
0, 1
Let c(b) = -2*b**3 - 18*b**2 + 20*b. Let o be c(-10). What is p in 0*p - 4/7*p**3 - 2/7*p**2 + o - 2/7*p**4 = 0?
-1, 0
Let m(g) = 5*g**5 + 13*g**4 - 2*g**3 - 22*g**2 + 2. Let w(n) = n**4 + n**3 + n**2 - 1. Let j(b) = -m(b) - 2*w(b). What is a in j(a) = 0?
-2, 0, 1
Factor -2/9*p**5 + 0*p - 2/3*p**2 - 2/9*p**4 + 10/9*p**3 + 0.
-2*p**2*(p - 1)**2*(p + 3)/9
Let i(j) be the first derivative of -j**6/6 + j**5 + 7*j**4/2 + 2*j**3/3 - 13*j**2/2 - 7*j + 37. Factor i(f).
-(f - 7)*(f - 1)*(f + 1)**3
Let w(d) be the third derivative of d**2 + 0*d**3 + 0 - 1/6*d**4 + 1/30*d**5 + 0*d. Factor w(m).
2*m*(m - 2)
Let k(q) be the third derivative of -7*q**5/15 + q**4/2 + 8*q**3/3 - q**2. Determine b, given that k(b) = 0.
-4/7, 1
Let q(b) = b**3 - 3*b**2 - 9*b + 1. Let g(p) = -4*p**3 + 8*p**2 + 28*p - 4. Let h(k) = 3*g(k) + 10*q(k). Factor h(u).
-2*(u + 1)**3
Suppose 15 = 5*p - 10. Let n be (12 - p) + 3/(-1). Determine w, given that -3*w**3 - 2*w**2 + w**3 - 2*w**3 - 2*w**n = 0.
-1, 0
Let y(u) = 4*u**3 - 23*u**2 + 24*u - 5. Let t(v) = v**2 - v. Let a(i) = 4*t(i) - 2*y(i). Factor a(m).
-2*(m - 5)*(m - 1)*(4*m - 1)
Let d(q) = -5*q**3 + 4*q**2 + 3*q - 2. Let t(s) = 11*s**3 - 9*s**2 - 6*s + 5. Let y(v) = 9*d(v) + 4*t(v). Determine i, given that y(i) = 0.
-1, 2
Let t(k) = 27*k**4 + 42*k**3 + 33*k**2 + 6*k + 6. Let u(p) = -53*p**4 - 85*p**3 - 66*p**2 - 12*p - 11. Let j(g) = -11*t(g) - 6*u(g). Factor j(n).
3*n*(n + 1)**2*(7*n + 2)
Let b(g) be the first derivative of -1/150*g**5 + 1/2*g**2 + 0*g - 1/15*g**3 + 2 - 1/30*g**4. Let l(d) be the second derivative of b(d). Factor l(x).
-2*(x + 1)**2/5
What is o in -2/9*o**3 + 4/9*o**2 + 0*o - 2/9*o**4 + 0 = 0?
-2, 0, 1
Let v(c) be the third derivative of -1/150*c**6 - 1/15*c**3 + 0 - 1/75*c**5 + 1/20*c**4 + 0*c - 1/840*c**8 - 2*c**2 + 1/175*c**7. Factor v(p).
-2*(p - 1)**4*(p + 1)/5
Let j be ((-3)/(-2))/((-6)/(-12)). Factor -8*a - 4*a**3 + j*a**2 - 4*a**4 - 4 - 8*a + 15*a**3.
-(a - 2)**2*(a + 1)*(4*a + 1)
Suppose f - 6 = -3. Suppose 0 = 2*r - f*s - 7 - 1, 2*s + 12 = 3*r. Factor -4*w**r - 3*w**3 + w**5 - 3*w**5 - 3*w**3 + 4*w**3.
-2*w**3*(w + 1)**2
Suppose -19*f - 20 = -23*f. Let j be (-4 + 15/3)/f. Factor j*q**2 - 1/5*q - 2/5.
(q - 2)*(q + 1)/5
Let r(g) be the second derivative of -2*g**7/63 - g**6/15 - g**5/30 + 6*g. Determine v so that r(v) = 0.
-1, -1/2, 0
What is l in -1 + 1/2*l**2 - 1/2*l = 0?
-1, 2
Let a(u) be the second derivative of 2*u**5 + 15*u**4/2 - 85*u**3/6 + 15*u**2/2 - 25*u. Suppose a(k) = 0. Calculate k.
-3, 1/4, 1/2
Let r(o) be the first derivative of -o**7/420 - o**6/90 - o**5/60 + 4*o**3/3 + 5. Let m(v) be the third derivative of r(v). Suppose m(l) = 0. Calculate l.
-1, 0
Let g(r) be the first derivative of -1/3*r**6 + 2 - 4/3*r**3 + 0*r + 4/5*r**5 + r**2 + 0*r**4. Find d, given that g(d) = 0.
-1, 0, 1
Suppose -r = 4*r - 15. Factor 2*z**3 + 2*z - 5*z**r - 8*z + 9*z**2.
-3*z*(z - 2)*(z - 1)
Let k(i) = 5*i**2 + 5*i - 6. Let q = -15 + 9. Let d(w) = 9*w**2 + 9*w - 11. Let v(j) = q*d(j) + 11*k(j). Find b such that v(b) = 0.
-1, 0
Let f be (72/(-15))/(-8)*(-6)/(-9). Let -1/5*i**4 + 0*i**2 + 2/5*i**3 - f*i + 1/5