) = -b(i) + 10*f(i). Solve o(s) = 0 for s.
-1, 0, 2
Let r = 24386 + -24384. Factor -2*p + 1/2*p**r + 0.
p*(p - 4)/2
Let g(k) be the first derivative of -k**6/2 - 27*k**5/5 - 81*k**4/4 - 23*k**3 + 36*k**2 + 108*k + 171. Determine q, given that g(q) = 0.
-3, -2, 1
Let g(d) = -35*d**2 + 375*d + 800. Let k(o) = -9*o**2 + 94*o + 200. Let w(m) = 4*g(m) - 15*k(m). Factor w(h).
-5*(h - 20)*(h + 2)
Factor 1/8*z**4 - 87/8*z**2 + 19/8*z**3 + 113/8*z - 23/4.
(z - 2)*(z - 1)**2*(z + 23)/8
Let a(v) be the second derivative of -5/4*v**4 + 0 - 27*v + 0*v**3 + 10*v**2 - 1/4*v**5. Factor a(r).
-5*(r - 1)*(r + 2)**2
Suppose 10*u - 32 - 68 = 0. Let n = -6 + u. Factor -1/5*z**2 - 1/5*z**n + 3/5*z**3 - 3/5*z + 2/5.
-(z - 2)*(z - 1)**2*(z + 1)/5
Let h be 3 + 0 + 2*2/(-4). Find u such that 6*u - 14*u**h + 14*u + 18 + 17*u**2 + u = 0.
-6, -1
Let z = -494 - -133. Let c be (-1)/(4/(-3)) - z/(-684). Factor -2/3*j**3 - 2/3*j**2 + 0 - 2/9*j - c*j**4.
-2*j*(j + 1)**3/9
Let n(u) be the second derivative of -81*u**2 + 34*u + 0 - 1/6*u**4 - 6*u**3. Let n(f) = 0. What is f?
-9
Let y(c) be the second derivative of -c**7/63 - 184*c**6/135 - 2759*c**5/90 + 961*c**4/27 + 101*c. Solve y(v) = 0 for v.
-31, 0, 2/3
Let n(k) be the second derivative of 1/24*k**4 + 0 + 1/120*k**5 + 1/12*k**2 + 1/12*k**3 + 16*k. Let n(t) = 0. What is t?
-1
Let w(f) be the second derivative of 33/2*f**5 - 26*f - 55/3*f**4 + 20/3*f**3 + 5/6*f**7 + 0 - 37/6*f**6 + 0*f**2. Find k such that w(k) = 0.
0, 2/7, 1, 2
Let j = 1603 + -1603. Let -1/3*m**3 + 1/3*m**4 + 0*m + 0*m**2 + j = 0. What is m?
0, 1
Let t(b) = b**3 + 10*b**2 + b + 1. Let i be t(-10). Let j be (0 - 10/(-15))*i/(-2). Factor -1/7*w**5 - 1/7 + 2/7*w**j + 2/7*w**2 - 1/7*w - 1/7*w**4.
-(w - 1)**2*(w + 1)**3/7
Factor 0 + 0*u**2 + 4/3*u**3 + 0*u + 2/9*u**4.
2*u**3*(u + 6)/9
Let k be 2 + 2/4*28. Let j be (k/24)/((-4)/(-18)). Factor 8/5*v**4 + 2/5*v**j + 2/5*v**5 - 4*v**2 + 16/5 - 8/5*v.
2*(v - 1)**2*(v + 2)**3/5
Factor -4*u**2 - 7*u + 176 + 3*u**2 - 98 - 90.
-(u + 3)*(u + 4)
Let o be ((-2)/8)/1 + (-794)/(-8). Let u = o + -99. Factor -3*v**2 + u + 3/2*v**5 + 3*v**4 - 3/2*v + 0*v**3.
3*v*(v - 1)*(v + 1)**3/2
Let p(k) be the third derivative of k**11/83160 - k**10/9450 + k**9/3024 - k**8/2520 + k**5/5 + 15*k**2. Let w(d) be the third derivative of p(d). Factor w(t).
4*t**2*(t - 2)*(t - 1)**2
Suppose -3*z + 4 = -2. Let q be 1 - (-4 + z + 1). Determine g so that -33 + 33 - 6*g - q*g**2 = 0.
-3, 0
Let k(j) be the second derivative of 4/21*j**4 + 16/7*j**2 + 24*j - 1/70*j**5 + 0 - 20/21*j**3. Find l, given that k(l) = 0.
2, 4
Let t(o) be the third derivative of -19/420*o**7 + 0 - 1/120*o**5 + 1/16*o**6 + 0*o**3 + 12*o**2 - 1/24*o**4 + 0*o + 1/96*o**8. Suppose t(r) = 0. Calculate r.
-2/7, 0, 1
Let p(f) be the third derivative of 1/180*f**6 + 0*f**3 + 1/18*f**4 - 1/30*f**5 - 23*f**2 + 0*f + 0. Factor p(s).
2*s*(s - 2)*(s - 1)/3
Suppose 11*a = 50 + 5. Let b(y) be the second derivative of -3*y + y**3 - 5/4*y**4 - 1/10*y**6 + 0 + 0*y**2 + 3/5*y**a. Let b(h) = 0. What is h?
0, 1, 2
Let a = -552 - -555. Let k(r) be the second derivative of 1/5*r**5 - 1/3*r**4 + 0*r**a + 0*r**2 - r + 0. Find t, given that k(t) = 0.
0, 1
Let p(y) be the third derivative of y**6/40 - 51*y**5/140 + 3*y**4/2 - 10*y**3/7 + 50*y**2. Find i, given that p(i) = 0.
2/7, 2, 5
Suppose 0 = -37*l + 17*l + 40. Factor 40*q**3 + 12*q + 28/5*q**5 + 8/5 + 24*q**4 + 32*q**l.
4*(q + 1)**4*(7*q + 2)/5
Factor -20*t**2 + 7 + 6 + 2 + 0 - 5*t.
-5*(t + 1)*(4*t - 3)
Let c be 2/6 - (-16)/6. Let x = -945 + 948. Factor 0*o**3 + x*o**2 - 3 + 2*o**3 - o - 2*o + o**c.
3*(o - 1)*(o + 1)**2
Determine n, given that -3*n + 36*n + 5*n**2 + 7*n - 13 + 73 = 0.
-6, -2
Let y = 92 + -92. Let z(v) = v**3 + 4*v**2 + 2*v - 1. Let r be z(-3). Suppose 3/4 - 3/4*s**r + y*s = 0. Calculate s.
-1, 1
Find h, given that -1/7*h**3 - 5/7 + 1/7*h + 5/7*h**2 = 0.
-1, 1, 5
Let q = 6 + 3. Factor 1 - 24*j + 15*j**3 - q*j**4 + 2 + 9 + 6*j**4 - 3*j**5 + 3*j**2.
-3*(j - 1)**3*(j + 2)**2
Let c(t) be the second derivative of -t**4/60 + 7*t**3/30 - t**2 - 138*t. Factor c(n).
-(n - 5)*(n - 2)/5
Let z(m) be the first derivative of 4*m**5/35 - m**4 - 68*m**3/21 - 18*m**2/7 - 75. Solve z(g) = 0.
-1, 0, 9
Let a(s) be the second derivative of -s**6/30 + s**4/6 - 11*s**2/2 - 11*s. Let i(c) be the first derivative of a(c). Determine o so that i(o) = 0.
-1, 0, 1
Suppose 2*c - 72 = -0*k + k, 138 = 4*c + k. Suppose -11*m - 2 + c = 0. Factor -10/7*a - 8/7*a**2 - 4/7 - 2/7*a**m.
-2*(a + 1)**2*(a + 2)/7
Let u(g) be the second derivative of -2*g**7/21 - 4*g**6/15 + 2*g**5/5 + 4*g**4/3 - 2*g**3/3 - 4*g**2 - 3*g + 5. Solve u(z) = 0 for z.
-2, -1, 1
Let u = -63713/3 - -21241. Solve 4/3 - 8/3*v**3 + 4/3*v**2 + u*v - 2/3*v**5 - 8/3*v**4 = 0 for v.
-2, -1, 1
Let a(i) = i**2 - 16*i + 67. Let r be a(9). Let j(p) be the third derivative of 1/15*p**5 + 0*p + p**2 + 0 - 1/2*p**3 - 1/24*p**r. Factor j(q).
(q - 1)*(4*q + 3)
Let y(u) be the first derivative of -3/5*u**6 + 0*u - 4/15*u**3 + 0*u**2 + 11/10*u**4 - 24/25*u**5 + 17. Suppose y(n) = 0. What is n?
-2, 0, 1/3
Let f(m) be the first derivative of -8/9*m - 4 - 26/27*m**3 - 4/3*m**2 - 2/45*m**5 - 1/3*m**4. Factor f(n).
-2*(n + 1)**2*(n + 2)**2/9
Let g(y) be the first derivative of 9*y**4/16 - 119*y**3/12 - 25*y**2/2 + 7*y - 275. Find u, given that g(u) = 0.
-1, 2/9, 14
Let t = 5588 + -5586. Suppose -1/3*q**t - 2/3 - q = 0. Calculate q.
-2, -1
Let x(u) be the first derivative of u**7/1680 + u**6/240 + u**5/120 + 8*u**3/3 - 23. Let v(j) be the third derivative of x(j). Find y such that v(y) = 0.
-2, -1, 0
Let x = 129/511 - 8/73. Let l(h) be the first derivative of 4/21*h**3 - 2/7*h - x*h**2 - 4. Factor l(c).
2*(c - 1)*(2*c + 1)/7
Let o(t) be the third derivative of t**6/40 - 91*t**5/20 - 185*t**4/8 - 93*t**3/2 + 18*t**2 - 3. Suppose o(g) = 0. What is g?
-1, 93
Let k be (-30)/10 - (-57)/18. Let z(p) be the second derivative of 0*p**2 + 0 - k*p**4 + 0*p**3 + p. Let z(a) = 0. What is a?
0
Let k(j) be the first derivative of -3/8*j**2 - 7 + 1/4*j**3 + 0*j. Find m such that k(m) = 0.
0, 1
Let p(x) be the first derivative of -1/2*x**2 - 7 + 1/5*x**5 - 2/7*x - 5/21*x**3 + 1/21*x**6 + 5/28*x**4. What is d in p(d) = 0?
-2, -1, -1/2, 1
Let j be (-55)/(-33)*(-72)/(-660). Factor -j*s**2 - 18/11 + 12/11*s.
-2*(s - 3)**2/11
Let h(j) be the second derivative of 1/240*j**6 + 0*j**2 + j**3 - j + 1/4*j**4 - 1/20*j**5 + 0. Let r(t) be the second derivative of h(t). Factor r(l).
3*(l - 2)**2/2
Suppose 71*u = 66*u - 50. Let s(p) = -p**4 - p**3 + p. Let i(k) = -15*k**4 + 5*k**3 - 10*k**2 + 10*k. Let q(c) = u*s(c) + i(c). Solve q(a) = 0 for a.
0, 1, 2
Solve 8/3*t - 7/3 - 1/3*t**2 = 0 for t.
1, 7
Let b(f) = -f - 5*f + 5*f. Let p be b(-3). Suppose 9*m**2 - 6*m**5 + 3*m**p - m**3 + m + 2*m + m**3 - 9*m**4 = 0. What is m?
-1, -1/2, 0, 1
Let j(c) = -2*c**3 - 2*c**2 - c - 1. Let i be j(-1). Suppose -q + 3*q = 8, -2*h + 3*q = 8. Factor 1/3*d**h + 0 + 1/3*d**3 + i*d.
d**2*(d + 1)/3
Let b(t) = t - 7. Let w be b(8). Suppose w - 1 = -10*g. Suppose 1/6*f + 0*f**3 - 1/3*f**2 + g - 1/6*f**5 + 1/3*f**4 = 0. Calculate f.
-1, 0, 1
Let 14 + 2 - 15*s**2 + 673*s + 2*s**4 - 3*s**2 - 669*s - 4*s**3 = 0. What is s?
-2, -1, 1, 4
Let l(y) be the first derivative of y**6/90 + y**5/15 + 5*y**4/36 + y**3/9 - 4*y - 9. Let i(k) be the first derivative of l(k). Factor i(x).
x*(x + 1)**2*(x + 2)/3
Let l = 2707/3 + -902. Factor 0 - 1/3*f**4 - 1/3*f + l*f**2 + 1/3*f**3.
-f*(f - 1)**2*(f + 1)/3
Let o(p) be the first derivative of p**6/40 + p**5/10 + p**4/8 + 5*p**2/2 - 10. Let l(h) be the second derivative of o(h). Determine t so that l(t) = 0.
-1, 0
Suppose 8 = 2*x - 3*r - 6, x - 2*r - 6 = 0. Suppose w + 10 = 5*i, -3*i + x = 2*w + 2*i. Solve 0 + w*g + 1/5*g**3 + 1/5*g**2 = 0.
-1, 0
Factor 1615*s + 775 + 120*s**2 - 22*s**3 + 501 + 27*s**3 + 55*s**2 + 169.
5*(s + 1)*(s + 17)**2
Let c(k) be the third derivative of -k**5/480 - 103*k**4/192 + 34*k**2 + 2*k. Factor c(j).
-j*(j + 103)/8
Factor 51/8*g - 6 - 3/8*g**2.
-3*(g - 16)*(g - 1)/8
Suppose -19*n + 136 - 46 = -n. Find r such that 5*r + 5/4*r**4 + 15/2*r**2 + n*r**3 + 5/4 = 0.
-1
Let g(x) = x**2 - x - 1. Let o(l) = 5*l**2 + 28 - 13 - 18*l + 3*l. Let r(j) = j**2 - 5*j + 3. Let w be r(4). Let a(b) = w*o(b) + 3*g(b). Factor a(u).
-2*(