5*i**3 + 686/5 + 196*i.
2*(i + 1)*(i + 7)**3/5
Let w(a) = a**2 + 2*a - 6. Let q be w(-6). Let k = -16 + q. Let 4/9 + 8/9*g**3 + 2/9*g**5 - 10/9*g - 8/9*g**4 + 4/9*g**k = 0. Calculate g.
-1, 1, 2
Let t be (-1)/(-7)*(-56)/(-48). Let w(h) be the second derivative of 4/3*h**2 - 10*h - 16/9*h**3 + 0 - t*h**5 + 17/18*h**4. Find b such that w(b) = 0.
2/5, 1, 2
Let c(z) be the second derivative of -1/5*z**6 - 18*z + 4*z**2 + 7/5*z**5 - 19/6*z**4 + 4/3*z**3 + 0. Determine d, given that c(d) = 0.
-1/3, 1, 2
Let l(r) be the second derivative of -1/3*r**2 + 30*r + 1/60*r**5 + 0 - 1/18*r**3 + 1/12*r**4 - 1/90*r**6. Factor l(u).
-(u - 2)*(u - 1)*(u + 1)**2/3
Suppose 0 = -5*z + 5*c - 10*c + 20, 13 = 5*z - 2*c. Suppose -3*v + 7*v - 4*b = 0, 0 = -v + z*b. Factor -2/5*d**4 + v*d**2 + 0*d**3 + 0*d + 0.
-2*d**4/5
Let y(q) be the third derivative of -q**7/11340 + q**6/540 - 2*q**5/135 - q**4/3 - 12*q**2. Let m(z) be the second derivative of y(z). Factor m(a).
-2*(a - 4)*(a - 2)/9
Let o(r) be the second derivative of 3/20*r**5 + 1/2*r**4 - 1/2*r**3 + 7*r - 3*r**2 + 0. Let o(h) = 0. What is h?
-2, -1, 1
Solve 2*p**4 + p**4 - 5*p + 16*p**3 - 11*p + 5*p**4 - 12 + 8*p**2 - 4*p**4 = 0 for p.
-3, -1, 1
Let r(m) be the third derivative of -m**5/150 + m**4/60 + 4*m**3/5 - 576*m**2. Factor r(v).
-2*(v - 4)*(v + 3)/5
Let o = -1790 + 1793. Let f(i) be the third derivative of 0*i + 0 - 5/132*i**4 - 1/330*i**5 - o*i**2 - 4/33*i**3. Factor f(t).
-2*(t + 1)*(t + 4)/11
Let j(x) = -3*x - 16. Suppose -h = f + 8, -f + 10 = -4*f + 4*h. Let s be j(f). Determine w, given that 0 - 3/5*w**5 - 6/5*w**s + 9/5*w**3 + 0*w + 0*w**4 = 0.
-2, 0, 1
Let m be 0*4/(-10)*15/(-6). Let c be m*(-2)/(-6) + (2 - 2). Solve c + b**2 + 1/2*b - 3/2*b**3 = 0.
-1/3, 0, 1
Let n(f) be the third derivative of f**7/630 + 7*f**6/180 + 5*f**5/36 + f**4/6 + 140*f**2 + 2. Determine i, given that n(i) = 0.
-12, -1, 0
Let j = 78 + -66. Factor -63 - 3*g**2 - g**2 + 55 + 0*g**2 - j*g.
-4*(g + 1)*(g + 2)
Let u(i) be the third derivative of 1/132*i**4 - 1/1848*i**8 + 1/165*i**5 + 19*i**2 + 0*i + 0*i**3 - 2/1155*i**7 + 0*i**6 + 0. Find f, given that u(f) = 0.
-1, 0, 1
Factor 11/5*c**2 + 17/5*c**3 + 1/5*c**4 - 121*c + 0.
c*(c - 5)*(c + 11)**2/5
Let f(g) = -g**3 - 19*g**2 - g - 15. Let i be -17 - (-1 + 1 - -4) - -2. Let o be f(i). Find v, given that 0*v - 1/4*v**2 - 1/4*v**o + 0 + 1/2*v**3 = 0.
0, 1
Let s(k) be the second derivative of -3/4*k**2 - 17/24*k**3 - 1/120*k**6 - 38*k - 7/80*k**5 - 17/48*k**4 + 0. Determine a so that s(a) = 0.
-3, -2, -1
Let w = -1777 + 5332/3. Suppose 2*g = 4*a - 2*g - 12, -4*g = 12. Factor 8/3*z**4 + a + 2*z**3 + 0*z**2 - w*z + z**5.
z*(z + 1)**3*(3*z - 1)/3
Let w(f) be the first derivative of -3*f**4/20 + 2*f**3 - 51*f**2/10 + 24*f/5 + 822. Determine g, given that w(g) = 0.
1, 8
Suppose -11 + 19 = 2*k. Determine h, given that -460*h**3 - h**5 + 458*h**3 + 0*h**5 - 3*h**k = 0.
-2, -1, 0
Let n = -2608 - -2612. Factor 1/2*b**n - b**2 - 3/4*b**3 + b + 1/4*b**5 + 0.
b*(b - 1)**2*(b + 2)**2/4
Let g be 2 - 1 - 40/44. Let c be 140/(-112) + (35/4)/7. Suppose g*z**4 + 1/11*z**5 - 2/11*z - 5/11*z**2 + c - 3/11*z**3 = 0. Calculate z.
-1, 0, 2
Suppose -5*w - 4 = -19. Let n = 231 + -1616/7. Suppose -n + 1/7*y + 1/7*y**2 - 1/7*y**w = 0. Calculate y.
-1, 1
Let j be 4/(((-16)/(-6))/(-4)) + (-279)/(-45). Solve -1/5*i**2 + 1/5*i - j*i**3 + 1/5*i**4 + 0 = 0 for i.
-1, 0, 1
Let s(z) be the first derivative of z**6/3060 + z**5/255 + z**4/68 - 13*z**3/3 - 13. Let w(o) be the third derivative of s(o). Factor w(b).
2*(b + 1)*(b + 3)/17
Let t(l) be the second derivative of -l**5/5 + 2*l**4 - 16*l**3/3 + 2*l - 28. What is y in t(y) = 0?
0, 2, 4
Factor -32*c**2 + 22*c**4 - 26*c**4 - 48*c**3 + 12*c**3.
-4*c**2*(c + 1)*(c + 8)
Let x(o) be the second derivative of 781/126*o**4 - 92/21*o**3 + 0 - 9*o + 12/7*o**2 + 7/5*o**6 - 23/5*o**5. Let x(c) = 0. What is c?
3/7, 2/3
Find k, given that 44*k**3 - 41*k**3 - 63*k**2 + 55*k + 386*k - 1029 = 0.
7
Let x be (20 - 15) + (756/52)/(-3). Solve x*v**3 - 14/13*v - 4/13*v**2 - 8/13 = 0.
-1, 4
Let a(r) = -r + 1. Let w = -32 - -29. Let k be a(w). Determine g so that 3*g**k + 145*g**3 - 145*g**3 - 3*g**2 = 0.
-1, 0, 1
What is p in 39*p**2 + 48*p - 29*p**2 + 44 - 6*p**2 = 0?
-11, -1
Let u be 2/5 - (-65)/75*3. Factor -4*b**u + 16 - 9*b + 2*b**3 + 0*b**3 - 15*b + 12*b**2.
-2*(b - 2)**3
Let o(x) be the third derivative of x**6/60 + 34*x**5/5 + 1156*x**4 + 314432*x**3/3 + 38*x**2. Factor o(b).
2*(b + 68)**3
Suppose -j = -4 + 1. Factor 2 + 6*s**j + 0*s**2 - s**4 + 3*s - 2*s**2 - 9*s**3 + s**2.
-(s - 1)*(s + 1)**2*(s + 2)
Let g(u) = 4*u**3 - 52*u**2 - 29*u + 91. Let l(p) = -3*p**3 + 35*p**2 + 19*p - 61. Let q(c) = -5*g(c) - 7*l(c). Let q(f) = 0. Calculate f.
-14, -2, 1
Let i(w) be the first derivative of w**5 + 5*w**4/2 - 5*w**3/3 - 5*w**2 + 138. Let i(o) = 0. What is o?
-2, -1, 0, 1
Factor -1/10*i + 0 - 1/10*i**2.
-i*(i + 1)/10
Suppose -16/3*x**2 - 8/3*x**3 - 4/9*x**4 - 40/9*x - 4/3 = 0. Calculate x.
-3, -1
Suppose 159*r**2 - 3*r**3 - 1890 + 2852 + 1066 - 2184*r = 0. What is r?
1, 26
Let x(m) = -67*m**3 - 488*m**2 - 14875*m + 9. Let b(p) = -15*p**3 - 122*p**2 - 3719*p + 2. Let k(t) = -9*b(t) + 2*x(t). Find h such that k(h) = 0.
-61, 0
Let m = 35199/175945 + -2/35189. Find h, given that 0 + h**4 + 0*h**2 - 6/5*h**3 + 0*h - m*h**5 = 0.
0, 2, 3
Let s(f) be the third derivative of -6*f**2 + 0 - 1/6*f**4 - 1/3*f**3 + 0*f + 7/30*f**5 - 1/15*f**6. Factor s(b).
-2*(b - 1)**2*(4*b + 1)
Let z = -25979/2 - -12990. Let 1/2*x**2 - 1/4*x - z + 1/4*x**3 = 0. Calculate x.
-2, -1, 1
Factor 118 + 236*c**2 + 49*c**3 - 297*c - 644*c**2 - 42*c**3.
(c - 59)*(c + 1)*(7*c - 2)
Factor -63/8*o**2 + 27/2*o + 1/8*o**4 + 3/4*o**3 + 0.
o*(o - 3)**2*(o + 12)/8
Find r such that r**3 - 27*r**2 + 73*r**2 - 32*r**2 + 18*r - 29*r**2 + 2*r**3 = 0.
0, 2, 3
Let p(s) be the third derivative of 26*s**2 + 0 - 1/4*s**4 + 0*s + 0*s**3 - 1/20*s**5. Find d, given that p(d) = 0.
-2, 0
Let y(a) = 6*a**5 + 58*a**4 + 122*a**3 + 113*a**2 + 43*a. Let g(h) = h**5 - h**4 + h**2 - h. Let f(j) = 3*g(j) + y(j). Find v such that f(v) = 0.
-2, -10/9, -1, 0
Let j = -2518 - -2521. Let b(v) be the second derivative of 0 - 4/13*v**2 - 1/78*v**4 + 10*v + 4/39*v**j. Factor b(f).
-2*(f - 2)**2/13
Let t be ((-156)/54)/13 + 34/72. Let l be -2 + (-18)/(-4) + -2. Factor t*z**2 - 1/4*z - l.
(z - 2)*(z + 1)/4
Let h(t) be the first derivative of -t**6/30 - 2*t**5/5 - 2*t**4/5 + 112*t**3/15 + 24*t**2/5 - 288*t/5 + 136. Solve h(b) = 0.
-6, -2, 2
Let q be 2616/(-327) - ((-22)/2 + 0). Suppose 0*t**q + 0 + 0*t + 2/13*t**4 - 2/13*t**2 = 0. Calculate t.
-1, 0, 1
Let a(c) = 3*c - 1. Let u be a(1). Factor -r**5 + 0*r**4 + 17*r**2 - u*r**4 - 17*r**2 - r**3.
-r**3*(r + 1)**2
Suppose -5*i + 2*k = 0, 3*i - 3*k + 5 = -4. Suppose -2*c - 4 = -a, -c - i*c = a + 6. Factor -2/3*n**2 + 0 + a*n**3 - 1/3*n + 2/3*n**4 + 1/3*n**5.
n*(n - 1)*(n + 1)**3/3
Let h(a) = -94*a**4 + 252*a**3 - 644*a**2 + 420*a - 22. Let w(g) = -13*g**4 + 36*g**3 - 92*g**2 + 60*g - 3. Let y(b) = 3*h(b) - 22*w(b). Factor y(s).
4*s*(s - 5)*(s - 3)*(s - 1)
Factor -27/4*l - 21/8*l**2 + 0 + 15/4*l**3 - 3/8*l**4.
-3*l*(l - 9)*(l - 2)*(l + 1)/8
Let y = 155 - 137. Factor 8*o - 2*o + 3*o**4 + 27*o**2 - 51*o**3 + y*o**4 - 3*o**4.
3*o*(o - 2)*(o - 1)*(6*o + 1)
Determine h, given that 78/11 - 236/11*h + 6/11*h**2 = 0.
1/3, 39
Let 0 + 0*h + 1/6*h**2 = 0. What is h?
0
Suppose 3*i + 5 = a + i, 4*a = 5*i + 17. Suppose 22*y**4 + a*y - 3*y + y**5 - 20*y**4 = 0. Calculate y.
-2, 0
Find v such that 51*v**5 + 4*v**2 - 21*v**5 - 8 + 10*v**2 - 6*v**4 - 28*v**5 - 2*v**3 = 0.
-1, 1, 2
Suppose -2*i - 3*u = -23, -9*u = 2*i - 10*u - 3. Let b be i/5*-1*(-55)/11. Factor 0*y - 1/2*y**b - 1/2*y**3 + 0 + 0*y**2.
-y**3*(y + 1)/2
Let d = 1003 + -7017/7. Let p(c) be the second derivative of d*c**3 + 2*c - 1/28*c**4 - 24/7*c**2 + 0. Let p(o) = 0. What is o?
4
Let l = -1573 + 11015/7. Factor -2/7*t**2 + l*t - 2/7.
-2*(t - 1)**2/7
Let r(b) be the third derivative of -b**8/11200 + b**7/1050 - 4*b**4/3 - 15*b**2. Let w(f) be the second derivative of r(f). Factor w(k).
-3*k**2*(k - 4)/5
Let z be (-1 - -3 - 5) + 861/(-165). Let u = 42/5 + z. Factor 540/11*m**2 + 30/11*m**4 - 810/11*m - 180/11*m**3 + 486/11 - u*m**5.
-2*(m - 3)**5/11
Determine j, given that -