00*a**5 + 0*a**4 + 0*a**2 + 3 + 0*a. Let s(j) be the third derivative of b(j). Factor s(d).
-2*d*(d + 1)/5
Let r(v) be the second derivative of v**7/84 + v**6/60 - 3*v**5/40 - v**4/24 + v**3/6 - 14*v. Factor r(q).
q*(q - 1)**2*(q + 1)*(q + 2)/2
Factor 0*s**2 + 0 + 0*s**3 - 2/3*s**5 + 0*s - 2/3*s**4.
-2*s**4*(s + 1)/3
Suppose 2*g**4 + 603 - 6*g**4 + 12*g**2 + 8*g - 603 = 0. Calculate g.
-1, 0, 2
Let p(s) be the first derivative of s**3/3 + 2*s**2 - 9. Factor p(c).
c*(c + 4)
Let z = -162 - -162. Let u(j) be the second derivative of 0*j**3 - 3*j + 0 - 1/50*j**5 + 0*j**4 + z*j**2. Let u(l) = 0. Calculate l.
0
Let p(i) be the second derivative of i**5/30 + i**4/6 + 2*i**3/9 - 7*i. Factor p(t).
2*t*(t + 1)*(t + 2)/3
Suppose -25 = -4*c - 5. Suppose -2*f - f = 9, -13 = j + c*f. Factor -j - 2*d + 2*d**3 + 2.
2*d*(d - 1)*(d + 1)
Let w(y) be the second derivative of 0*y**3 - 1/45*y**5 + 3*y + 0 - 1/54*y**4 - 1/135*y**6 + 0*y**2. Factor w(s).
-2*s**2*(s + 1)**2/9
Let c(y) = 2*y**3 + y**2 - 3*y + 1. Let n be c(-3). Let j = n - -35. Let j*s - 1/3*s**3 - 1/3*s**2 + 0 = 0. Calculate s.
-1, 0
Let n(f) be the first derivative of -6*f**5/5 - 21*f**4/4 - 7*f**3 - 3*f**2 + 35. What is u in n(u) = 0?
-2, -1, -1/2, 0
Let g(x) be the first derivative of -x**3/12 + x**2/8 + 54. Factor g(l).
-l*(l - 1)/4
Solve 14/13*l**2 + 22/13*l - 22/13*l**3 - 18/13*l**4 + 4/13 = 0.
-1, -2/9, 1
Let a(o) be the third derivative of -o**5/210 + o**4/42 - o**3/21 - 10*o**2. Factor a(r).
-2*(r - 1)**2/7
Let q(r) be the first derivative of -2*r**5/15 + r**4/6 + 6. Find g such that q(g) = 0.
0, 1
Let s(f) be the first derivative of -1/15*f**3 - 6 - 3/10*f**2 - 2/5*f. Factor s(i).
-(i + 1)*(i + 2)/5
Let u(s) = -5*s**4 - 2*s**4 - 4*s - s**2 + 4*s**4 + 4*s**3. Let c(i) = -6*i**4 + 9*i**3 - 3*i**2 - 9*i. Let l(m) = -4*c(m) + 9*u(m). Factor l(k).
-3*k**2*(k - 1)*(k + 1)
Factor -49/5 - 3/5*n**3 - 43/5*n**2 - 161/5*n.
-(n + 7)**2*(3*n + 1)/5
Let o = 16 - 9. Suppose -3*m + o = 5*y - 13, 2*y = 3*m - 13. Factor -3*k**2 + k**2 - 9*k**3 - 2 + 18*k**2 - m*k.
-(k - 1)**2*(9*k + 2)
Let c(g) be the third derivative of g**7/70 - g**6/8 + 9*g**5/20 - 7*g**4/8 + g**3 + 18*g**2. Determine s so that c(s) = 0.
1, 2
Let f(x) be the first derivative of 0*x**3 + 0*x**2 - 1/2*x**4 + 0*x + 3/5*x**5 + 4 + 5/6*x**6. Find w such that f(w) = 0.
-1, 0, 2/5
Suppose 2*l = 43 - 33. Suppose 2/5*j**3 + 2/5*j**l - 6/5*j**4 + 0 - 4/5*j + 6/5*j**2 = 0. What is j?
-1, 0, 1, 2
Let w(q) be the first derivative of 0*q**2 + 0*q - 3 + 2/3*q**3 + 1/2*q**4. Solve w(l) = 0.
-1, 0
Let t be 7/42 - (-21)/90. Factor t*y**2 + 0 - 2/5*y.
2*y*(y - 1)/5
Factor -16 - 6*s + 75*s - 25*s**3 - 80*s**2 + 17*s - 10*s.
-(s + 4)*(5*s - 2)**2
Let v = 32 + -30. Let b(d) be the second derivative of -d + 3/8*d**4 + 4/15*d**6 + 3/5*d**5 + 1/12*d**3 + 0*d**v + 0. Solve b(z) = 0.
-1, -1/4, 0
Let n(m) be the second derivative of m**7/280 + m**6/40 + m**5/20 - m**3/3 - m. Let y(c) be the second derivative of n(c). Determine k, given that y(k) = 0.
-2, -1, 0
Let k be 1 + 0 - (-33)/(-77). Let -k + 9/7*b**2 - b**3 + 12/7*b = 0. What is b?
-1, 2/7, 2
Let k(f) = -2*f - 3. Let c be k(-4). Suppose -5*l = -10, c*l - 5 - 5 = -5*r. Factor 1/2*m**2 + r - 1/2*m**3 + 1/2*m**5 - 1/2*m**4 + 0*m.
m**2*(m - 1)**2*(m + 1)/2
Let t(d) be the third derivative of 5*d**7/12 + 73*d**6/48 + 43*d**5/20 + 19*d**4/12 + 2*d**3/3 + 5*d**2. Solve t(i) = 0 for i.
-1, -2/5, -2/7
Let i(x) = 11*x**2 + 35*x + 5. Let o be 1*-7 - (2 + -3). Let g(n) = 4*n**2 + 12*n + 2. Let d(p) = o*i(p) + 17*g(p). Suppose d(b) = 0. Calculate b.
1, 2
Let r = 58/423 - -4/47. Factor -2/3*a**3 + 0 - 2/9*a**4 - r*a - 2/3*a**2.
-2*a*(a + 1)**3/9
Let k(f) = -f**2 + 6*f - 2. Let w be k(4). Let q = 9 - w. Solve 2*g - g + g**3 - 2*g**q = 0 for g.
-1, 0, 1
Let f(c) be the third derivative of -2*c**7/525 + c**6/150 + c**5/75 - c**4/30 + 8*c**2. Factor f(y).
-4*y*(y - 1)**2*(y + 1)/5
Let r(y) = -98*y**3 + 140*y**2 + 99*y + 16. Let q(x) = 49*x**3 - 70*x**2 - 50*x - 8. Let p(m) = -5*q(m) - 2*r(m). Determine i, given that p(i) = 0.
-2/7, 2
Let p(k) be the third derivative of -k**5/80 + k**4/8 + 17*k**2. Factor p(u).
-3*u*(u - 4)/4
Suppose -4*d - 5*m + 11 = -7, -5*m = -5*d. Suppose 4 - 4 + 2*o**2 - d*o**4 = 0. What is o?
-1, 0, 1
Let o(w) be the third derivative of -1/390*w**5 + 0*w + 1/390*w**6 + 0*w**3 - 1/1365*w**7 - 5*w**2 + 0*w**4 + 0. What is k in o(k) = 0?
0, 1
Let c(n) be the third derivative of 0 - 1/112*n**8 + 1/5*n**5 + n**2 - 1/8*n**4 - 3/20*n**6 + 0*n + 2/35*n**7 + 0*n**3. Determine x so that c(x) = 0.
0, 1
Let f(j) = -31*j**3 + 26*j**2 - 4*j. Let d(a) = -92*a**3 + 77*a**2 - 12*a. Let t(x) = 6*d(x) - 17*f(x). Suppose t(c) = 0. What is c?
0, 2/5
Let f be -2 + 6 + 4/(-2). Solve k**3 - 8*k**2 - k**3 + 6*k - k**5 + 2*k**4 + k + f*k**3 - 2 = 0 for k.
-2, 1
Suppose 8*r**4 + 2*r**5 - 5*r**4 - 2*r**2 + r**2 = 0. Calculate r.
-1, 0, 1/2
Let -2*f**2 - 1/3 - 4/3*f - 1/3*f**4 - 4/3*f**3 = 0. Calculate f.
-1
Factor -2*p - 4*p + 2*p + 2*p**3 + 4*p**4 + 2*p**3 - 4*p**2.
4*p*(p - 1)*(p + 1)**2
Let y(d) = -4 + 15*d - 20*d - d**2 + 10*d. Let x be y(4). Let 2/5*g**3 + x*g**2 + 0*g - g**5 + 0 + 3/5*g**4 = 0. Calculate g.
-2/5, 0, 1
Solve 0*x**3 + 12*x - 9*x**2 + 3/2*x**4 - 9/2 = 0.
-3, 1
Suppose -3*i + 2*i - 4*m = -20, -4*m - 4 = -5*i. Suppose -3 - 6 = -3*h. Factor 4*x**2 + 2*x**4 + 2*x**5 + 3*x - x - 4*x**i - 2 - 4*x**h.
2*(x - 1)**3*(x + 1)**2
Suppose 2*v - 28 = -2*v + 4*r, 18 = 2*v - 3*r. Factor 0*t + 0 - 9/5*t**4 - 3/5*t**2 + 3/5*t**5 + 9/5*t**v.
3*t**2*(t - 1)**3/5
Factor 7*k**4 - 6*k**3 + 3*k**5 + 3*k - 7*k**4.
3*k*(k - 1)**2*(k + 1)**2
Factor -4 + 15*s**2 + 2 - 43*s**2 + 40*s + 34.
-4*(s - 2)*(7*s + 4)
Let y(t) be the first derivative of t**4/36 - t**2/6 - 3*t + 3. Let n(c) be the first derivative of y(c). Factor n(w).
(w - 1)*(w + 1)/3
Let w = -1120 + 3391/3. Let g = 11 - w. Factor 0 + 5/3*d**3 + g*d - 7/3*d**2.
d*(d - 1)*(5*d - 2)/3
Let h(y) = 10*y**2 - 42*y + 10. Let o be h(4). Suppose 1/3*v + 1/2*v**o + 0 = 0. Calculate v.
-2/3, 0
Let c = -4 - -6. Let y(k) be the first derivative of 1 - 2*k + 1/3*k**3 + 1/2*k**c. Suppose y(p) = 0. Calculate p.
-2, 1
Suppose -4 = -1520*o + 1518*o. Determine h, given that -2/7*h**o - 4/7*h - 2/7 = 0.
-1
Determine h so that 9 + 7 + 5*h**2 - 50*h + 29 = 0.
1, 9
Let l = 1/877 - -8763/6139. Factor -2/7*b + 8/7*b**4 - 16/7*b**3 + l*b**2 + 0.
2*b*(b - 1)*(2*b - 1)**2/7
Let l = 1229/105 - 81/7. Suppose 2/15*h**3 - 2/15*h - l + 2/15*h**2 = 0. What is h?
-1, 1
Let w(n) be the second derivative of -2*n**4/3 - 7*n**3/3 + 2*n**2 - 10*n. Determine x so that w(x) = 0.
-2, 1/4
Let u(l) = l**3 + 8*l**2 - 10*l - 7. Let c be u(-9). Suppose 0 = -c*f + 4*w - 2, w = 1 + 1. Factor 9 - 9 - r**f.
-r**3
Let n(i) = -i**3 + 2*i**2 + 7*i - 5. Let l be n(4). Let p be l/6 - 14/(-4). Find k, given that -6*k + 6 + 2*k**2 + k**2 + 0*k**p - 3 = 0.
1
Let z = -2770/11 + 252. Factor -2/11*g**4 + z*g + 0 - 2/11*g**3 + 2/11*g**2.
-2*g*(g - 1)*(g + 1)**2/11
Let w(g) be the second derivative of -g**7/147 - g**6/35 - 3*g**5/70 - g**4/42 - 4*g. What is x in w(x) = 0?
-1, 0
Let c(i) = i**4 + 7*i**3 - i**2 + 3*i. Let f(t) = -t**4 - 8*t**3 + t**2 - 4*t. Let r(j) = -6*c(j) - 5*f(j). Solve r(o) = 0.
-2, -1, 0, 1
Let n(h) be the third derivative of h**6/720 - h**5/240 - h**4/24 + h**3/3 - 2*h**2. Let y(d) be the first derivative of n(d). Factor y(t).
(t - 2)*(t + 1)/2
Let o(g) = -2 + 1 - 2*g**2 - 8*g + 0 - 7. Let x(z) = -2*z**2 - 8*z - 8. Let m(k) = 3*o(k) - 2*x(k). Find c, given that m(c) = 0.
-2
Suppose 4 = 6*i - 14. Let 2/3*t - 4/3*t**2 + 2/3*t**4 + 2/3 + 2/3*t**5 - 4/3*t**i = 0. Calculate t.
-1, 1
Let j = 25 - 19. Let c(i) be the third derivative of -1/60*i**j + 0 - i**2 + 1/48*i**4 + 0*i**3 - 1/40*i**5 + 0*i. Determine g, given that c(g) = 0.
-1, 0, 1/4
Let p(q) = -q**3 + q**2 - 3*q + 3. Let c be p(2). Let j be c + 4 - (-10)/3. Solve j*m**5 - 1/3*m**2 + m**3 + 0 - m**4 + 0*m = 0 for m.
0, 1
Let w(b) = -b**4 + 2*b**3 + 22*b**2 - 2*b - 48. Let c(i) = 3*i**3 + 21*i**2 - 3*i - 48. Let j(l) = 2*c(l) - 3*w(l). Determine s so that j(s) = 0.
-2, 2
Let b(h) be the second derivative of h**9/15120 - h**7/1260 + h**5/120 - h**4/12 + 2*h. Let a(v) be the third derivative of b(v). Factor a(g).
(g - 1)**2*(g + 1)**2
What is y in -2*y**2 + 3 + 8*y + 5*y