the first derivative of 11/4*s**3 + 9/2*s**2 + 9/16*s**4 + 18 + 3*s. Determine x, given that q(x) = 0.
-2, -1, -2/3
Factor -155*f**2 + 262*f**2 + 107*f - 54*f**3 + 2 - 162*f**2.
-(f - 1)*(f + 2)*(54*f + 1)
Let p(m) be the second derivative of 5*m**5/12 - 3*m**4/4 + m**3/9 + 332*m. Let p(l) = 0. Calculate l.
0, 2/25, 1
Let u(h) = -h**2 - 12*h - 13. Let v be u(-9). Solve -4*n**2 - 8*n**3 + n**4 + v*n**5 + 0*n**4 + 3*n**4 - 6*n**3 = 0.
-1, -2/7, 0, 1
Factor 7 + 7*y + 4*y**2 + 2*y**2 - 3 - y**3 - 4.
-y*(y - 7)*(y + 1)
Let h(p) be the third derivative of p**6/120 + 23*p**5/240 + 5*p**4/16 - 3*p**3/8 + 4*p**2 + p. Find v such that h(v) = 0.
-3, 1/4
Factor -43*i - 134*i**3 + 35*i**2 - 42 + 129*i**3 + 7*i**2.
-(i - 7)*(i - 2)*(5*i + 3)
Let q = -2939 + 2939. Factor q + 4*d**3 + 0*d + 4/3*d**5 + 4/3*d**2 + 4*d**4.
4*d**2*(d + 1)**3/3
Suppose -2*z - 6 = -3*n, 2*n = 4*z + 20 - 16. Let j = 311/30 - 51/5. Factor -1/6*u**4 + 1/6*u**2 - 1/2*u**3 + j*u**5 + 1/3*u + z.
u*(u - 2)*(u - 1)*(u + 1)**2/6
Let w = 149/2 + -74. Let k(r) be the first derivative of -5/6*r**3 + 6 + 0*r + w*r**4 + 1/4*r**2. Factor k(o).
o*(o - 1)*(4*o - 1)/2
Suppose 62*b - 65*b + 5 = -x, -5*b = -3*x - 7. Suppose 1/6*g**4 - 7/2*g**b - 5/6*g**3 - 23/6*g - 4/3 = 0. Calculate g.
-1, 8
Factor 12/5 + 4/5*y - 4/5*y**3 - 12/5*y**2.
-4*(y - 1)*(y + 1)*(y + 3)/5
Suppose -224 + 244 = 5*h. Factor -h*f**2 + 11*f**2 - 24*f - f**2 + 36 - 2*f**2.
4*(f - 3)**2
Let s(z) be the third derivative of -z**5/60 + 5*z**4/8 + 6*z**3 - 14*z**2. Let c be s(17). Factor 3/4*y**3 + 5/4*y**c + 0 + 1/2*y.
y*(y + 1)*(3*y + 2)/4
Let v(y) = -8*y**2 - 288. Let q(m) = -m**2 - 32. Let t(l) = 52*q(l) - 6*v(l). Find n such that t(n) = 0.
-4, 4
Let n(g) = 8*g**2 - 15*g - 3. Let x(d) = 25*d**2 - 45*d - 10. Let y(w) = -10*n(w) + 3*x(w). Factor y(p).
-5*p*(p - 3)
Let a(m) = -m**2 + 10*m - 13. Let f be a(8). Factor -8*g**2 + 16*g**f + 10*g**3 - 50*g**5 + 15*g**3 - 9*g**3 - 10*g**4.
-2*g**2*(g + 1)*(5*g - 2)**2
Let u be -1 + 12/(-4) + 7. Determine z, given that -14 - 118*z**3 + z**u - 147*z**2 + 2 - 72*z - 30*z**4 = 0.
-2, -1, -1/2, -2/5
Let r(l) be the second derivative of -3*l**5/20 - 2*l**4 + 9*l**3/2 + 360*l. Solve r(m) = 0 for m.
-9, 0, 1
Let c = -2149 + 2151. Factor 1/2*i**c + 0*i - 2.
(i - 2)*(i + 2)/2
Let d(w) = -w**3 - 3*w**2 - 2*w - 1. Suppose 3*g - 15 = 8*g. Let u be d(g). Factor -4*o**u - 14*o**4 - 8*o**3 + o**4 + o**4 + 4 + 8*o**2 - o + 13*o.
-4*(o - 1)*(o + 1)**4
Let c(f) be the second derivative of -13*f + 8/135*f**6 - 7/90*f**5 - 1/63*f**7 + 1/27*f**4 + 0*f**3 + 0*f**2 + 0. Factor c(k).
-2*k**2*(k - 1)**2*(3*k - 2)/9
Let r(s) be the first derivative of s**4/22 - 52*s**3/33 + 49*s**2/11 - 48*s/11 + 461. Solve r(t) = 0 for t.
1, 24
Let l(s) = 10*s**4 - 30*s**3 + 20*s**2 + 25*s - 15. Let t(p) = 5*p**4 - 15*p**3 + 11*p**2 + 12*p - 7. Let h(v) = -3*l(v) + 5*t(v). Find n such that h(n) = 0.
-1, 1, 2
Suppose 28/3*c - 1/6*c**2 - 392/3 = 0. What is c?
28
Suppose -4*h - 3*l - 6 = 0, 5*l + 368 = 4*h + 358. Let i(o) be the second derivative of h + 1/10*o**5 - 10*o - 1/3*o**3 - 1/6*o**4 + o**2. Factor i(m).
2*(m - 1)**2*(m + 1)
Suppose z - 3*o = 23, 9*o = -3*z + 4*o + 27. Let n be (6/(-20))/(1 + (-17)/z). Factor 16/5*y - 72/5*y**3 + 32/5*y**2 + 0 + 8*y**4 - n*y**5.
-y*(y - 2)**3*(7*y + 2)/5
Suppose 4*a - 4*v + 72 = 0, -5*a - 73 = -a - 3*v. Let f = a - -22. Solve -f*w**4 + 2*w**4 + 0*w**4 - w**3 = 0 for w.
-1, 0
Let h = 1160/1713 + -6/571. Factor h*p**5 + 0 - 2/3*p**2 - 2/3*p**3 + 0*p + 2/3*p**4.
2*p**2*(p - 1)*(p + 1)**2/3
Suppose -5*k + 2*k = -450. Let w = 224 - k. Find x such that -2*x**2 + w - 74 = 0.
0
Factor -2/9*k**3 - 448/9*k - 58/9*k**2 - 392/9.
-2*(k + 1)*(k + 14)**2/9
Let l(m) be the second derivative of -m**6/75 + 2*m**5/25 + 2*m**4/15 - 16*m**3/15 + 753*m. Factor l(z).
-2*z*(z - 4)*(z - 2)*(z + 2)/5
Let b(g) be the first derivative of 18/7*g + 17 - 3/7*g**2 - 10/21*g**3 - 1/14*g**4. Factor b(v).
-2*(v - 1)*(v + 3)**2/7
Solve 9*m**4 - 33*m**3 + 5*m**5 + 9*m**5 - 11*m**5 + 30*m - 27*m**2 + 18*m**2 + 0*m**4 = 0 for m.
-5, -1, 0, 1, 2
Suppose 2*g + r = 113, -g = -6*r + 2*r - 43. Determine b so that 0*b**2 + 2*b**2 - 55*b + g*b + 2*b**3 = 0.
-1, 0
Suppose -172 = 3*v - 5*v + 2*x, 5*v - 446 = -3*x. Determine g, given that v*g**2 - 41*g**2 - g**3 - 48*g**2 = 0.
-1, 0
Let u(o) be the third derivative of o**8/1848 + o**7/385 + o**6/660 - o**5/110 - o**4/66 + 23*o**2 - 2*o. Let u(f) = 0. What is f?
-2, -1, 0, 1
Let o(m) be the second derivative of m**5/200 + m**4/30 + m**3/12 + m**2/10 - 4*m - 22. Find a such that o(a) = 0.
-2, -1
Let f(m) be the second derivative of -12*m + 0 - 10/51*m**3 + 3/17*m**2 - 2/85*m**5 + 11/102*m**4. Factor f(y).
-2*(y - 1)**2*(4*y - 3)/17
Find o, given that -75/2*o + 6*o**4 + 0 + 1/2*o**5 + 21*o**3 + 10*o**2 = 0.
-5, -3, 0, 1
Suppose -3*r = -4*n - 15, -40 = -5*n - 5*r - 15. Let l(k) be the third derivative of -3*k**2 + 1/8*k**3 - 1/8*k**4 + 0 + n*k + 3/80*k**5. What is w in l(w) = 0?
1/3, 1
Let t(p) be the third derivative of p**9/756 + p**8/210 + p**7/210 + 17*p**3/6 + 22*p**2. Let f(j) be the first derivative of t(j). Factor f(x).
4*x**3*(x + 1)**2
Let q(l) = -4*l**4 - 10*l**3 - 12*l**2 + 31*l - 20. Let y(i) = i**4 + 2*i**3 - i**2 + i. Let j(f) = -q(f) - 5*y(f). Factor j(x).
-(x - 2)**2*(x - 1)*(x + 5)
Suppose -3*i = -5*r - 326, 5*r = 10*i - 5*i - 330. Let o = r + 131/2. Let -s + 0 + o*s**2 - 3/2*s**4 + s**3 = 0. Calculate s.
-1, 0, 2/3, 1
Let h = 25 - 23. Factor 6 - 5 - h + c**2.
(c - 1)*(c + 1)
Factor -9/2*n - 195/2*n**2 + 225/2*n**3 + 27/2.
3*(3*n + 1)*(5*n - 3)**2/2
Suppose -2*m - 33 = -5*m + l, -m + 21 = 3*l. Find o such that 0*o**2 + m*o**2 + 0*o - 4*o = 0.
0, 1/3
Let j be -7*4/(-42)*3. Suppose -j*w + 0 = -4. What is i in -1/2*i**3 - 1/4 + 3/4*i - 1/4*i**5 + 3/4*i**4 - 1/2*i**w = 0?
-1, 1
Let y(w) = -w**2 - 3*w + 110. Let j be y(9). Let r(p) be the third derivative of 0*p**3 + 5*p**j - 1/20*p**6 + 0 - 1/8*p**4 + 0*p + 3/20*p**5. Factor r(x).
-3*x*(x - 1)*(2*x - 1)
Let a(h) be the third derivative of h**6/40 - 13*h**5/4 + 1023*h**4/8 + 1089*h**3/2 + 669*h**2. Factor a(s).
3*(s - 33)**2*(s + 1)
Let y(k) be the third derivative of k**5/240 - 7*k**4/48 - 4*k**3/3 + 182*k**2. Solve y(n) = 0 for n.
-2, 16
Let r(k) be the third derivative of -k**5/12 + 5*k**4/6 + 25*k**3/6 + 706*k**2 + 1. Suppose r(n) = 0. What is n?
-1, 5
Factor 137*n**2 + 128 - 12*n**4 + 6*n**5 - 2*n**5 - 288*n - 40*n**3 + 71*n**2.
4*(n - 2)**3*(n - 1)*(n + 4)
Determine y, given that 20/19*y**2 - 28/19 + 2/19*y**5 - 40/19*y**3 + 8/19*y**4 + 2*y = 0.
-7, -1, 1, 2
Let h = 132 + -112. Let l be (h/50)/((-16)/(-10)). Find x, given that 0*x**2 + 0 + 0*x**3 + 1/2*x**4 + 0*x + l*x**5 = 0.
-2, 0
Let m = -1389/1841 + 236/263. Factor 2/7*d - m*d**4 + 0*d**2 + 1/7 - 2/7*d**3.
-(d - 1)*(d + 1)**3/7
Let a = -5259/902 + 64/11. Let w = a - -333/410. Factor 2/5*h + 0 + 8/5*h**4 + w*h**2 - 14/5*h**3.
2*h*(h - 1)**2*(4*h + 1)/5
Let z be 117/26*(-16)/(-18). Let n(s) be the second derivative of -3/28*s**5 - 2*s - 3/7*s**2 - 4/7*s**z + 0 - 13/14*s**3. Factor n(m).
-3*(m + 1)*(m + 2)*(5*m + 1)/7
Suppose -x + 3*c + 17 = 0, 2*c + 2*c - 28 = -5*x. What is q in -x*q - 5 - 4*q**2 + 1 + 2 - 2 = 0?
-1
Let x = -104 + 50. Let u = x + 79. Determine g, given that -18*g + 160*g**4 - 13*g**2 + 4 - u*g**2 + 144*g**3 + 0 = 0.
-1, -2/5, 1/4
Let f(b) = b**2 + 6*b - 5. Let g be f(-7). Suppose -g*a + 8 = -4. Find c, given that 10*c + 0*c**3 - 3*c**3 + a - c = 0.
-1, 2
Factor 40 - 18*k**2 - 12 + 24*k + 14*k**2 + 0*k**2.
-4*(k - 7)*(k + 1)
Let a(h) be the third derivative of h**6/40 - h**5/10 - h**4/2 + 4*h**3 + 163*h**2. Factor a(j).
3*(j - 2)**2*(j + 2)
Let g = -30/19 + 419/133. Solve g*y - 2/7 + 9/7*y**3 - 18/7*y**2 = 0.
1/3, 2/3, 1
Let l(t) = -2*t**4 + 98*t**3 - 1048*t**2 - 1156*t. Let d(q) = -2*q**4 + 97*q**3 - 1050*q**2 - 1155*q. Let j(c) = 4*d(c) - 3*l(c). Factor j(b).
-2*b*(b - 24)**2*(b + 1)
Suppose -2*v - 2*v - 3*c + 12 = 0, 0 = -3*c - 12. Suppose -3*p - 2*m = p - v, 0 = 5*m + 5. Let 2 + 0*y**p - 2*y**2 - 4*y + 4*y**2 = 0. Calculate y.
1
Let o(t) = -3*t**4 + 3*t**3 + 2*t**2 - 2*t. Let p(h) = -h**4 + h**2 - h. Let a(f) = o(f) - 2*p(f). Solve a(y) = 0.
0, 3
Let r = -30 - -131. Factor -23*q**2 - r - 67 - 22*q + 47 + 22*q**2.
-(q + 11)**2
Let n(q) = 100*q**2 - 5*q -