*c(y) + 7*d(y). Suppose f(g) = 0. Calculate g.
50
Let o = 7520 + -7518. Factor -6 - 4*f - 2/3*f**o.
-2*(f + 3)**2/3
Let u = -8389/6 + 1404. Let i(a) be the second derivative of -u*a**3 - 5/2*a**4 - 11*a + 0 - 5/2*a**2. Determine s so that i(s) = 0.
-1, -1/6
What is u in 2/15*u**2 + 16/15*u + 0 = 0?
-8, 0
Factor -16/5 - 8/5*r**2 + 4*r + 1/5*r**3.
(r - 4)*(r - 2)**2/5
Let n(x) be the second derivative of 0*x**2 + 1/6*x**4 + 6*x + 0 + 3/20*x**5 + 0*x**3 + 1/30*x**6. Factor n(h).
h**2*(h + 1)*(h + 2)
Let d(w) = -w**2 + 3*w + 1. Let u be d(2). Determine y, given that -2*y**3 + 2*y**3 - 4*y**2 + 0*y**3 + 4*y**u = 0.
0, 1
Let j be (-72)/54*((-1)/(-10))/(6/(-15)). Factor -2/3 + 1/3*h + j*h**2.
(h - 1)*(h + 2)/3
Factor 1015*o + 5*o**4 + 31*o**2 + 15*o**2 - 55*o**3 - 980 - 31*o**2.
5*(o - 7)**2*(o - 1)*(o + 4)
Let s = 392 - 985/2. Let i = -100 - s. Solve 0 + i*n + 3/4*n**3 - 5/4*n**2 = 0.
0, 2/3, 1
Let o be (1/(-7))/(-2 + 486/252). Suppose 1 = 3*d - 8. Factor -4/13*f - 2/13*f**d + 0 + 6/13*f**o.
-2*f*(f - 2)*(f - 1)/13
Let z be (6 - (4 + -2)) + 62. Factor -3*g + 34 + 36 - z - g**2.
-(g - 1)*(g + 4)
Solve -1/3*u**3 + 0*u + 0 + 4*u**2 = 0.
0, 12
Let j = 12 + -10. Factor 5*s**3 + 231*s - 2647*s**j + 89*s + 2567*s**2.
5*s*(s - 8)**2
Factor -2/15*v**2 + 2/15*v + 4/15.
-2*(v - 2)*(v + 1)/15
Suppose 2*d - 21 = 9*d. Let c be 1 + 1 - (d + 3 - 3). Factor 2/5*n**3 - 2/5*n**c + 0*n**4 + 0 + 0*n**2 + 0*n.
-2*n**3*(n - 1)*(n + 1)/5
Let h be 10/5 + (-2)/(-1). Factor -2*k - h*k - k + 2*k + 5*k**3.
5*k*(k - 1)*(k + 1)
Let j(h) be the second derivative of h**3/6 + 11*h**2/2 - 2*h. Let y be j(-6). What is g in 13 + 36*g**4 - g + 28*g + 25*g + 108*g**3 - y + 116*g**2 = 0?
-1, -2/3, -1/3
Let q(a) be the second derivative of -a**4/28 + 75*a. Factor q(g).
-3*g**2/7
Let i(k) be the second derivative of 1/10*k**5 + 1/33*k**3 + 0 + 1/11*k**2 - 4/165*k**6 - 49*k - 3/22*k**4. Factor i(g).
-2*(g - 1)**3*(4*g + 1)/11
Let k(s) be the second derivative of s**4/6 + 4*s**3 - 64*s**2 + 233*s. Factor k(l).
2*(l - 4)*(l + 16)
Let 12*t**2 - 169 - 1/2*t**3 - 117/2*t = 0. Calculate t.
-2, 13
Let -40 + 12*s**2 - 68 - 852*s + 888*s - 4*s**3 = 0. What is s?
-3, 3
Suppose 12*u - 40 = 8. Solve g**2 + 2/5 + 9/5*g**3 - 9/5*g - 7/5*g**u = 0.
-1, 2/7, 1
Let d(p) be the second derivative of p**9/98280 - p**7/8190 + p**5/780 - 3*p**4/2 - 25*p. Let z(q) be the third derivative of d(q). Factor z(i).
2*(i - 1)**2*(i + 1)**2/13
Let v be (-4)/10 + (-37086)/(-92890). Let d = v - -10625/11943. Factor 0 + 2/9*u**3 + d*u - 8/9*u**2.
2*u*(u - 2)**2/9
Let c(y) be the third derivative of y**6/320 - 7*y**5/160 + 3*y**4/32 - 152*y**2. Factor c(z).
3*z*(z - 6)*(z - 1)/8
Let p(n) be the second derivative of n**7/280 + n**6/40 + 3*n**5/40 + n**4/8 + n**3/3 + 12*n. Let w(v) be the second derivative of p(v). Factor w(m).
3*(m + 1)**3
Let a(y) be the second derivative of -3*y**6/80 + 33*y**5/80 + 11*y**4/8 + 5*y**3/8 - 27*y**2/16 + 15*y - 15. Determine r so that a(r) = 0.
-1, 1/3, 9
Let c(b) be the third derivative of b**8/168 - 16*b**7/105 - 37*b**6/30 - 58*b**5/15 - 79*b**4/12 - 20*b**3/3 - 431*b**2. What is f in c(f) = 0?
-1, 20
Let x(z) be the first derivative of -7*z**4/8 + 3*z**3/2 + 3*z**2 - 2*z + 157. Determine g so that x(g) = 0.
-1, 2/7, 2
Let z(f) be the first derivative of -125*f**4/4 + 325*f**3 - 2295*f**2/2 + 1445*f - 225. Solve z(t) = 0 for t.
1, 17/5
Let l(h) be the first derivative of -h**6/12 - 7*h**5/10 - 9*h**4/4 - 10*h**3/3 - 2*h**2 + 236. Factor l(x).
-x*(x + 1)*(x + 2)**3/2
Let n(h) be the third derivative of 0*h + 1/3*h**5 + 7/30*h**6 - 7/6*h**4 - 4*h**3 + 0 + 16*h**2 + 2/105*h**7. Factor n(y).
4*(y - 1)*(y + 1)**2*(y + 6)
Let t be -1 + (1 - -2) - (-28)/(-26). Let h = t + -35/52. Solve 0 - h*y**5 + 1/4*y**3 - 3/4*y**4 + 3/4*y**2 + 0*y = 0.
-3, -1, 0, 1
Let k(r) be the first derivative of 1 + 0*r**2 - 1/4*r**4 + 11*r + 0*r**3. Let n(x) be the first derivative of k(x). Factor n(h).
-3*h**2
Let h(y) be the first derivative of 5*y**4/4 - 5*y**3 - 40*y**2 - 60*y + 109. Factor h(q).
5*(q - 6)*(q + 1)*(q + 2)
Let c = -117 + 115. Let x(p) = -p**2 - 2*p. Let o be x(c). Factor o*s**2 + 0 + 8/21*s**3 - 8/21*s**4 + 0*s - 2/7*s**5.
-2*s**3*(s + 2)*(3*s - 2)/21
Let h be 4/10 - 308/(-55). Let a be (-185)/(-37) - h/2. Solve -2/3*s**a + 4/9 + 2/9*s = 0 for s.
-2/3, 1
Solve 0*n**2 - 16/3*n**3 + 0 + 0*n - 14/3*n**4 + 2/3*n**5 = 0.
-1, 0, 8
Suppose -20 = -5*t - 0*t. Let f be (0 + (-8)/t)*-2. Find v such that -6*v**2 - 2*v + 2*v - 3*v + f + v = 0.
-1, 2/3
Let a(v) be the first derivative of -11*v**3/3 + v**2 + 40*v + 74. Solve a(c) = 0.
-20/11, 2
Let d(z) be the third derivative of 1/4*z**5 + 0*z**3 + 0*z + 0 + 18*z**2 + 5/6*z**4. Determine r so that d(r) = 0.
-4/3, 0
Let x(f) be the third derivative of f**8/504 - 2*f**7/105 + f**6/18 - 11*f**4/36 + 2*f**3/3 + 72*f**2. Suppose x(p) = 0. Calculate p.
-1, 1, 2, 3
Let j(a) be the second derivative of a**5/4 - 15*a**3/2 - 14*a + 3. Factor j(x).
5*x*(x - 3)*(x + 3)
Let y(r) = -2*r**3 - 5*r**2 + 5*r + 5. Let z = 13 - 10. Let s(u) = 12*u**2 - 7*u + 10 + 14 - 36*u**2 - 10*u**z + 31*u. Let k(a) = 3*s(a) - 14*y(a). Factor k(t).
-2*(t - 1)*(t + 1)**2
Let u(x) be the second derivative of -3*x**5/20 - x**4/4 + x**3/2 + 3*x**2/2 + 27*x - 6. Factor u(w).
-3*(w - 1)*(w + 1)**2
Let t be -3 + (3*-1 - (-8 - 3)). Let 18*x**4 - 10*x + 5*x**3 + x**t + 4*x**5 - 3*x**4 - 15*x**2 = 0. What is x?
-2, -1, 0, 1
Let u(r) be the second derivative of r**5/25 - 2*r**4/15 + 2*r**3/15 - r + 2. Factor u(i).
4*i*(i - 1)**2/5
Let -114/5*i**3 - 3/5*i**4 - 6912/5 - 5472/5*i - 1371/5*i**2 = 0. Calculate i.
-16, -3
Let b(i) be the second derivative of -i**4/18 + 95*i**3/18 - 47*i**2/6 - 36*i + 2. Factor b(q).
-(q - 47)*(2*q - 1)/3
Suppose -3 = -5*b + 7, -5*b = 3*g - 64. Suppose f = 5, 5 + g = -j + 5*f. Determine r so that j*r**2 - 2*r**4 + 2*r**3 - 2*r**3 = 0.
-1, 0, 1
Let c(t) be the second derivative of t**5/45 - t**4/54 + 51*t. Factor c(u).
2*u**2*(2*u - 1)/9
Let g(v) be the first derivative of 53 + v + 2/3*v**2 + 1/9*v**3. Factor g(b).
(b + 1)*(b + 3)/3
Let a = -5 - -7. Let j be (1/(-10))/(3*(-16)/360). Factor -3/4*t + 0 - j*t**a.
-3*t*(t + 1)/4
Factor -9/4 + 3/8*v**2 - 9/8*v**3 + 25/8*v - 1/8*v**4.
-(v - 1)**2*(v + 2)*(v + 9)/8
Suppose -10*d - 432 = -16*d. Let x = d - 64. Suppose 7*i**3 + 1/2*i**5 + 9/2*i + 1 + x*i**2 + 3*i**4 = 0. What is i?
-2, -1
Let w(r) be the third derivative of 4/315*r**7 + 16*r**2 + 0 + 0*r**3 + 4/135*r**5 + 0*r + 1/108*r**4 + 19/540*r**6. Find p such that w(p) = 0.
-1, -1/3, -1/4, 0
Let z(w) be the first derivative of w**4/12 - 13*w**3/9 - 35*w**2/2 - 57*w + 693. Solve z(t) = 0 for t.
-3, 19
Suppose -3*q = -2*u - 15, 4*q - 6 = 9*u - 11*u. Let j(p) be the third derivative of 0 - 1/240*p**5 - 1/96*p**4 + q*p**2 + 1/12*p**3 + 0*p. Factor j(v).
-(v - 1)*(v + 2)/4
Let b(i) = -2*i**2 - 12*i + 10. Let m be b(-6). Determine j, given that 62*j**2 + m*j - 125*j - 5*j**5 - 40*j**4 - 43*j**3 - 232*j**2 - 30 - 77*j**3 = 0.
-3, -2, -1
Let v(u) be the third derivative of -u**6/40 + 31*u**5/10 - 961*u**4/8 + 243*u**2. Factor v(q).
-3*q*(q - 31)**2
Determine s, given that 118*s + 77*s + 633*s**3 - 638*s**3 + 8*s**2 + 12*s**2 + 270 = 0.
-3, -2, 9
Let f(i) be the first derivative of 3*i**4/4 + 10*i**3/3 + 11*i**2/2 + 4*i - 91. Find r such that f(r) = 0.
-4/3, -1
Let v = -2282 - -2285. Factor 22/5*s**2 - 4/5 + 8/5*s**v + 2*s.
2*(s + 1)*(s + 2)*(4*s - 1)/5
Let o be 10 + ((-1)/(-2))/((-14)/140). Determine f so that 0*f - 2/19*f**3 + 2/19*f**o + 0 + 2/19*f**4 - 2/19*f**2 = 0.
-1, 0, 1
Let s(c) be the second derivative of c**7/504 - c**6/24 + c**5/3 - c**4/12 - 49*c**3/6 - 5*c - 5. Let a(y) be the third derivative of s(y). Factor a(u).
5*(u - 4)*(u - 2)
Let a be (-56)/21*(-3)/2. Factor 62*j - 40*j**a - 19*j**3 - 62*j - 5*j**5 - 61*j**3.
-5*j**3*(j + 4)**2
Let d(j) be the first derivative of -j**4/10 + 28*j**3/15 - 44*j**2/5 + 16*j - 6. Factor d(s).
-2*(s - 10)*(s - 2)**2/5
Let o = -36/25 - -662/425. Let w(f) = f**2 - 35*f + 288. Let y be w(13). Suppose 0 + o*j - 2/17*j**3 + 0*j**y = 0. What is j?
-1, 0, 1
Let y(c) be the first derivative of -2*c**3/3 + 24*c**2 + 50*c - 50. Factor y(v).
-2*(v - 25)*(v + 1)
Let m = -1600/9 + 11227/63. Factor -m - 4/7*f - 1/7*f**2.
-(f + 1)*(f + 3)/7
Factor 2*n**2 - 3