651/(-228) - -3) + (-8)/(-76). Let r(w) be the second derivative of 0*w**2 - 5/4*w**4 + 5/3*w**3 + z*w**5 + 11*w + 0. Factor r(l).
5*l*(l - 2)*(l - 1)
Let f(i) be the second derivative of 3*i**5/4 + 115*i**4/3 + 295*i**3/6 - 75*i**2 - 49*i - 4. Solve f(h) = 0 for h.
-30, -1, 1/3
Find c such that 13*c**3 - 13*c**2 + 34*c**2 - 15*c**3 - 19*c**2 + 16*c - 24 = 0.
-3, 2
Let s(o) be the second derivative of -30*o**7/7 + 34*o**6 - 421*o**5/4 + 935*o**4/6 - 605*o**3/6 + 551*o. Factor s(g).
-5*g*(g - 1)**2*(6*g - 11)**2
Let q = -2309/44220 + 18/335. Let l(u) be the third derivative of 0*u**4 + 0*u**5 + 0*u - u**2 + q*u**6 - 1/1155*u**7 + 0 + 0*u**3. Suppose l(f) = 0. What is f?
0, 1
Let a(x) be the first derivative of 1/10*x**4 + 0*x**5 + 0*x + 2/45*x**3 - 19 - 4/45*x**6 + 0*x**2. Suppose a(b) = 0. Calculate b.
-1/2, 0, 1
Let f be ((4 - (-86)/(-20))/3)/(3/(-15)). What is i in -3*i**3 + 3*i + 9/2 - 4*i**2 - f*i**4 = 0?
-3, -1, 1
Suppose 2*y - 25 = -3*y. Suppose b - 5*x + 15 = 5*b, -y*x + 15 = -5*b. Solve 2/7 + b*l - 2/7*l**2 = 0 for l.
-1, 1
Let y be (-897)/(-78) + (-22)/2. Factor -9/2*i**2 + 11/2*i + 1/2*i**3 + y*i**4 - 2.
(i - 1)**3*(i + 4)/2
Let b(s) be the first derivative of -s**6/2 + 3*s**5 + 9*s**4/2 + 58. Factor b(v).
-3*v**3*(v - 6)*(v + 1)
Suppose 28*l**3 + l**2 + 17*l**2 + 8*l**4 - 7*l**3 - 198*l**5 + 199*l**5 = 0. What is l?
-3, -2, 0
Let n(t) be the first derivative of -8/15*t**3 - 7 - 2/5*t**2 + 8/5*t + 1/5*t**4. Factor n(w).
4*(w - 2)*(w - 1)*(w + 1)/5
Let a(f) be the second derivative of -f**7/147 + 2*f**6/35 - 4*f**5/35 - 8*f**4/21 + 16*f**3/7 - 32*f**2/7 - 53*f. Suppose a(c) = 0. Calculate c.
-2, 2
Let b(z) be the second derivative of 3/2*z**2 - 2/3*z**4 + 17*z + 5/6*z**3 + 0. Factor b(l).
-(l - 1)*(8*l + 3)
Factor -1/4 + 15/8*k - 7/2*k**2.
-(4*k - 1)*(7*k - 2)/8
Let t(q) = -359*q - 31. Let z be t(-5). Factor 259*y + 78*y - z*y**2 - y - 16.
-4*(21*y - 2)**2
Let d(b) be the second derivative of -5*b**6/24 + 11*b**5/16 - 5*b**4/24 + 15*b. Factor d(v).
-5*v**2*(v - 2)*(5*v - 1)/4
Let y(d) be the third derivative of d**5/60 + 19*d**4/24 + 89*d**3/6 + 4*d**2 + d. Let j be y(-12). Factor -2/9*p**2 - 2/9*p**j - 2/3*p**4 + 0 - 2/3*p**3 + 0*p.
-2*p**2*(p + 1)**3/9
Suppose 44*t - 147 = -15. Let m(f) be the second derivative of 1/7*f**2 - 1/42*f**4 - 1/70*f**5 - 2*f + 1/21*f**t + 0. Factor m(x).
-2*(x - 1)*(x + 1)**2/7
Let w(y) be the third derivative of 0 + 1/3360*y**8 - 1/300*y**5 + 0*y**4 + 0*y**3 - 1/525*y**7 + 1/240*y**6 + 0*y + 18*y**2. Solve w(m) = 0 for m.
0, 1, 2
Suppose 0 = -0*d - 4*d + 8. Let u(o) = 3 + o - 1 + 1 - 2*o**d. Let h(z) = z**2 - 1. Let f(i) = -9*h(i) - 4*u(i). Solve f(p) = 0 for p.
-3, -1
What is g in 27*g**4 + 5*g**5 - 77*g**4 - 45*g**4 - 440*g**3 + 1654*g**2 - 2114*g**2 = 0?
-2, 0, 23
Let m(k) be the third derivative of k**8/26880 + k**7/1344 + k**6/160 - k**5/20 - k**3/2 - k**2 - 3. Let i(b) be the third derivative of m(b). Factor i(j).
3*(j + 2)*(j + 3)/4
Suppose 4*u + x = 4 + 8, -x = -2*u. Determine h so that 4/7*h**4 - 2/7*h**5 + u*h - 16/7*h**2 - 4/7 + 4/7*h**3 = 0.
-2, 1
Let t(r) be the third derivative of r**6/440 - r**5/33 + r**4/24 + r**3/11 - 52*r**2 + 1. Factor t(f).
(f - 6)*(f - 1)*(3*f + 1)/11
Let m = -1707 - -1713. Let s(p) be the first derivative of m - 1/10*p**4 + 0*p**2 + 1/15*p**3 + 1/25*p**5 + 0*p. Find l such that s(l) = 0.
0, 1
Let n be 4/((-8)/(-18)) - (-114 + 119). Let f(g) be the third derivative of 0 - 1/40*g**n - 8*g**2 + 1/15*g**3 + 1/600*g**6 + 0*g**5 + 0*g. Factor f(l).
(l - 1)**2*(l + 2)/5
Let m(p) be the third derivative of -p**7/168 + p**6/24 + p**5/8 - 5*p**4/24 - 25*p**3/24 + 108*p**2. Find g, given that m(g) = 0.
-1, 1, 5
Let j(i) be the second derivative of 4*i**5/15 + i**4 + 4*i**3/3 + 2*i**2/3 - 298*i. Factor j(u).
4*(u + 1)**2*(4*u + 1)/3
Let 29/2*n + 1/4*n**2 + 841/4 = 0. Calculate n.
-29
Suppose 6*k - 11*k + 49 = 2*z, 0 = 5*k + 5*z - 55. Factor -11*r**2 + 4 + 16*r + 33*r**2 - r**2 + k*r**3.
(r + 1)*(3*r + 2)**2
Let h**3 - 1/2*h**4 + 1/2*h**2 + 0 - h = 0. Calculate h.
-1, 0, 1, 2
Let h be (392/21 - 1/3) + (-2)/6. Suppose 21/4 + 3/4*m**4 - 33/2*m + h*m**2 - 15/2*m**3 = 0. Calculate m.
1, 7
What is o in -6*o + 0 - 1/2*o**4 - 1/2*o**5 + 1/2*o**2 + 13/2*o**3 = 0?
-4, -1, 0, 1, 3
Let o = -2 + 3. Let y be 0*o/(-2) - -12. Solve -d**5 - d**3 + y*d**4 + 12*d**4 - 22*d**4 = 0 for d.
0, 1
Let y = 14121 + -70604/5. Factor 1/5*d**3 + y - 1/5*d**2 - 1/5*d.
(d - 1)**2*(d + 1)/5
Let r = -57 + 59. Suppose d - 4 = -r. Let -j**d + 0 - 1/4*j**4 + j**3 + 0*j = 0. Calculate j.
0, 2
Let s(a) be the second derivative of -a**6/420 - a**5/15 - 7*a**4/12 - 49*a**2/2 - a - 4. Let x(q) be the first derivative of s(q). Suppose x(j) = 0. What is j?
-7, 0
Let d be (-36)/10 - (-4 + -32)/9. Find k such that 6/5*k + 0 - d*k**2 = 0.
0, 3
Let u(h) be the first derivative of -3*h**5/5 - 6*h**4 + h**3 + 12*h**2 - 89. Determine a, given that u(a) = 0.
-8, -1, 0, 1
Determine m so that -52*m**3 + 26*m**3 - 3*m**4 + 56*m**3 - 21*m**2 - 54*m = 0.
-1, 0, 2, 9
Let v(j) = 2*j**2 - j - 2. Let k(y) = -45*y**2 - 515*y + 14630. Let i(r) = -k(r) - 25*v(r). Let i(b) = 0. What is b?
54
Suppose 4*y - 156 = 5*t, -4*y + y - 5*t + 152 = 0. Let l = 46 - y. Factor -7/2*i**4 + 0*i + 0 + i**l - 5/2*i**3.
-i**2*(i + 1)*(7*i - 2)/2
Solve -60*l - 175/3 - 5/3*l**2 = 0 for l.
-35, -1
Let f be 56/24 + 2/3. Factor -32/7*w - 10/7*w**2 - 8/7 + 50/7*w**f.
2*(w - 1)*(5*w + 2)**2/7
Let m = -956 + 2869/3. Let i(t) be the second derivative of 6*t + 5/72*t**4 + m*t**2 + 0 + 1/120*t**5 + 2/9*t**3. Factor i(p).
(p + 1)*(p + 2)**2/6
Let x(a) = 8*a**3 - 4*a**2 - 4. Let w(q) = -7*q**3 + 4*q**2 + 2*q + 3. Let r(p) = 4*w(p) + 3*x(p). Determine m, given that r(m) = 0.
-1, 0, 2
Factor 1/3*u**2 + 14/3 + 3*u.
(u + 2)*(u + 7)/3
Let u(a) be the second derivative of a**5/20 - a**3/6 - 5*a - 44. Find z, given that u(z) = 0.
-1, 0, 1
Factor -8/7*l + 20/7*l**2 - 4/7*l**3 - 32/7.
-4*(l - 4)*(l - 2)*(l + 1)/7
Factor 44*x + 41*x - 5*x + 5*x**2 + 75.
5*(x + 1)*(x + 15)
Find f such that 9*f**3 - 9*f + 27*f - 9*f**2 - 24*f**2 = 0.
0, 2/3, 3
Let j(i) = i**4 - i**3 + 6*i**2 - 6*i. Let p(x) = 4*x**2 + 17*x - 22*x + x**2 - x**3 + x**4. Let y(g) = 6*j(g) - 7*p(g). Factor y(q).
-q*(q - 1)**2*(q + 1)
Suppose w + 10 - 9 = 4. Let 0 - 8/5*m**4 - 6/5*m - 14/5*m**w + 28/5*m**2 = 0. What is m?
-3, 0, 1/4, 1
Let o = 3 - -18. Let b be -1 - (o/9 - 4). Factor -b*p**3 + 0 + 0*p + 1/3*p**4 + 1/3*p**2.
p**2*(p - 1)**2/3
Factor -754*l**3 + 730*l**3 - 3*l**4 - 18*l**2 + 20*l + 4*l + 21.
-3*(l - 1)*(l + 1)**2*(l + 7)
Let m = 21 - 19. Solve -12*k**m - 7*k**3 + 0*k**3 - 8*k**4 - 6*k**3 - 4*k - k**5 + 2*k**4 = 0 for k.
-2, -1, 0
Let w = 2485 - 101891/41. Let c = 5/246 - w. Find f such that 1/6*f**3 + c*f**2 - 1/3*f + 0 = 0.
-2, 0, 1
Let k(o) = -o**2 + 7*o - 4. Let p(v) = v**2 - 6*v + 3. Let q(s) = -5*k(s) - 6*p(s). Factor q(c).
-(c - 2)*(c + 1)
Let m be 3/6 - (-5)/2. Let h(c) = -1. Suppose -4*p + 5 = p. Let b(s) = 3*s**2 + 3*s + 3. Let v(r) = m*h(r) + p*b(r). Determine f, given that v(f) = 0.
-1, 0
Let j(t) be the third derivative of t**7/105 + 11*t**6/60 + 11*t**5/10 + 37*t**4/12 + 14*t**3/3 + 50*t**2. Factor j(r).
2*(r + 1)**2*(r + 2)*(r + 7)
Let q = 4088/1695 + -4/339. Suppose 6/5*f**2 + q*f + 1/5*f**3 + 8/5 = 0. What is f?
-2
Let t be 1/(-4) - 60/(-112) - 58/203. Factor -16/9*k**3 - 32/9*k**4 - 2/9*k**2 + 0 + t*k.
-2*k**2*(4*k + 1)**2/9
Let f(d) be the second derivative of 0 - 1/4*d**2 - 8*d - 1/24*d**3 + 1/48*d**4. Determine y so that f(y) = 0.
-1, 2
Determine y, given that -6*y**3 - 3*y**4 + 3/2*y**5 + 0 + 12*y**2 + 0*y = 0.
-2, 0, 2
Let 1291*j**2 - 4*j**3 + 182 - 1287*j**2 + 132*j + 70 = 0. Calculate j.
-3, 7
Let d(z) = -z**2 - 7*z + 20. Let w be d(-9). Solve -10*i**w - 1 + 9*i**2 + 5 = 0.
-2, 2
Let z(u) be the second derivative of 6*u + 0*u**3 + 0 + 1/3*u**7 + 53/10*u**5 + 31/6*u**4 + 11/5*u**6 - 4*u**2. Factor z(c).
2*(c + 1)**3*(c + 2)*(7*c - 2)
Let w(d) = -17*d**2 + 51*d - 16. Let c(o) = -o**2 + 1. Let j(y) = -2*c(y) + w(y). Factor j(b).
-3*(b - 3)*(5*b - 2)
Let c = 2399 + -11991/5. Factor 0 - 4*q**3 - c*q**5 + 0*q + 4/5*q**2 + 17/5*q**4.
-q**2*(q - 2)**2*(4*q - 1)/5
Let h(u) = u**3 - 7*u**2 + 8*u - 5. Let j be h(4). Let s = -19 - j. Solve 1/4*n**s + 1 + n = 0.
-2
Suppose -48*k + 1256 = 193