d derivative of -3*c**6/40 - 5*c**5/12 + c**4/6 + 26*c**2. Let b(l) = 25*i(l) - 4*w(l). Factor b(q).
-5*q**2*(q + 5)
Let s be (1/2)/(2/48). Suppose s = 44*a - 40*a. Factor 0*d**2 - 6/5*d**a + 0 - 9/5*d**4 + 0*d.
-3*d**3*(3*d + 2)/5
Let n(d) be the third derivative of d**6/40 - 3*d**5/20 - 25*d**4/8 - 21*d**3/2 - 106*d**2. Find z, given that n(z) = 0.
-3, -1, 7
Let a(f) be the second derivative of -f**5/60 - f**4/18 + 5*f**3/6 + 6*f**2 - 390*f. Solve a(v) = 0 for v.
-3, 4
Suppose 5*a - 19 = 3*z, -7*z + 4*z - 4*a + 26 = 0. Suppose 1/2*b + 5/2*b**z + 3/2*b**3 - 1/2 = 0. What is b?
-1, 1/3
Let q(y) be the second derivative of -y**5/130 + 47*y**4/78 + y**3/39 - 47*y**2/13 - 57*y + 1. Find h, given that q(h) = 0.
-1, 1, 47
Suppose -9/4*g**4 + 0 + 3/8*g**5 + 9/4*g**2 - 15/8*g + 3/2*g**3 = 0. Calculate g.
-1, 0, 1, 5
Let p(f) be the second derivative of f**7/14 - 5*f**6/2 + 57*f**5/2 - 135*f**4/2 - 1215*f**3/2 - 2187*f**2/2 - 128*f. Factor p(i).
3*(i - 9)**3*(i + 1)**2
Let a(w) = 12*w + 12. Let n(c) = -c**2 - c. Suppose 8*y = -33 + 9. Let o(h) = y*n(h) - a(h). Factor o(m).
3*(m - 4)*(m + 1)
Let w = 27308 + -135948/5. Let l = -118 + w. Factor 1/5*o + 0 + l*o**2 + 1/5*o**3.
o*(o + 1)**2/5
Let i(f) = -f**4. Let g = -5 - -7. Let o(y) = 5*y**4 - 3*y**3 - y**2. Let x(t) = g*o(t) + 14*i(t). Factor x(r).
-2*r**2*(r + 1)*(2*r + 1)
Let x be ((-2)/4)/((-3)/30). Factor -5*n**2 - 74 + 74 - x*n**4 - 10*n**3.
-5*n**2*(n + 1)**2
Suppose 0 = -5*n - 3*i + 132, 12*n + i - 124 = 7*n. Let v be (4/n)/((-4)/(-200)). Let -15 + v*w**2 - 5/3*w**3 - 5*w = 0. What is w?
-1, 3
Suppose 630*g + 884 - 3404 = 0. Find o such that 3/7*o**3 + 3/7*o**2 - 6/7 - 1/7*o**g - o = 0.
-1, 2, 3
Let s(m) = -m + 4. Let q be s(2). Let w be 14/(-7) + q + 8/10. Find l, given that 0 + 4*l**2 + w*l**4 + 4/5*l + 17/5*l**3 = 0.
-2, -1/4, 0
Let c be (-4)/28 + 1209/2387. Let l be (-27)/(-44) + (-1)/4. What is w in 2/11*w**4 - l*w**3 - 2/11 + c*w + 0*w**2 = 0?
-1, 1
Let 3*y**2 + 0 + 0*y + 3/2*y**5 + 0*y**4 - 9/2*y**3 = 0. What is y?
-2, 0, 1
Let x(a) be the first derivative of -10 + 5*a**4 + 10*a**2 - 3*a**5 + 70/3*a**3 - 15*a. Determine j, given that x(j) = 0.
-1, 1/3, 3
Let k(j) be the second derivative of -17*j**4/12 + 49*j**3/6 + 3*j**2 - j + 38. Suppose k(v) = 0. Calculate v.
-2/17, 3
Suppose 18*f**4 + 500*f**3 - 475*f**3 + 15*f**2 - 8*f**4 - 5*f - 5 = 0. Calculate f.
-1, 1/2
Let a = -36 + 57. Suppose 0 = -22*g + a*g. Factor 0 + 0*x**2 + g*x**4 + 0*x**3 + 0*x - 2/9*x**5.
-2*x**5/9
Let a be (-26)/(-5) - (-56)/70. Let o be (2/10)/(a/45). Factor -29/2*c**2 - 8*c**5 + 12*c**4 - o*c + 15/2*c**3 + 9/2.
-(c - 1)**3*(4*c + 3)**2/2
Suppose -3 = 2*u - 7. Factor 25*i + i**3 - 15*i - u - 13*i.
(i - 2)*(i + 1)**2
Let r(q) be the first derivative of q**6/60 - 38*q**5/25 + 212*q**4/5 - 448*q**3/3 - 34496*q**2/5 - 175616*q/5 + 557. Let r(k) = 0. Calculate k.
-4, 28
Let p(k) be the first derivative of k**2 - 60*k - 15. Let l be p(31). Factor -4/3*i**2 - 2/3*i**5 - 2/3 + l*i**4 - 4/3*i**3 + 2*i.
-2*(i - 1)**4*(i + 1)/3
Let l = 11/116 + 9/58. Let y(g) be the second derivative of 0 + 2/5*g**5 + g - l*g**4 - g**2 - 7/6*g**3 + 2/15*g**6. Determine w, given that y(w) = 0.
-2, -1/2, 1
Let g(d) be the second derivative of -2*d**6/15 - 2*d**5/5 + 189*d. What is i in g(i) = 0?
-2, 0
Let z(l) be the third derivative of -l**5/15 - 7*l**4/6 + 20*l**3 - 592*l**2. Solve z(b) = 0.
-10, 3
Let d = 3/73 + 67/146. Let z(c) be the first derivative of 2/9*c**3 + 6 - 1/12*c**4 + 0*c + d*c**2. Determine k so that z(k) = 0.
-1, 0, 3
Suppose -7*b + 3*b + 224 = 0. Let x = 120 - b. Factor -160*h**3 - x*h**4 - 12*h + 38*h**2 + 16*h**2 + 40*h**2 - 2*h**2.
-4*h*(h + 3)*(4*h - 1)**2
Let n(f) be the second derivative of 0 + 1/60*f**4 - 49*f - 2/15*f**3 - 6/5*f**2. Find o, given that n(o) = 0.
-2, 6
Let f(m) be the third derivative of -2*m**7/525 - 7*m**6/150 - 11*m**5/75 - m**4/6 + 12*m**2 - 2. Determine j, given that f(j) = 0.
-5, -1, 0
Suppose 68 = -3*c + x, -2*c - 44 - 16 = 3*x. Let w be ((-16)/c)/((-2)/(-12)). Find l such that 5*l**2 - 8 - w*l + 8*l + 11*l**2 - 8*l**3 + 4*l**5 - 8*l**4 = 0.
-1, 1, 2
Suppose -19*s = 52 - 109. Let d(v) be the second derivative of 3/8*v**4 + 0*v**2 + 3/40*v**5 + 0 + 1/2*v**s - 5*v. Factor d(j).
3*j*(j + 1)*(j + 2)/2
Let w(f) be the third derivative of -4*f**2 + 0*f + 47/24*f**5 + 1/3*f**3 - 242/105*f**7 + 29/24*f**4 + 1331/1344*f**8 + 0 + 11/480*f**6. Factor w(m).
(m - 1)**2*(11*m + 2)**3/4
Let k(a) be the third derivative of -a**9/90720 - a**8/6048 + 7*a**5/20 - 27*a**2. Let o(g) be the third derivative of k(g). Factor o(t).
-2*t**2*(t + 5)/3
Solve -53*d**4 + 93*d**4 - 48*d**4 + 4*d**5 = 0.
0, 2
Let g = -3301 - -85841/26. Let i = 12/13 + g. Suppose 0 + i*c**3 - c - 1/2*c**2 = 0. Calculate c.
-2/3, 0, 1
Suppose 4*h + 12 = 0, 8*h = 4*b + 3*h - 27. Find i, given that b*i**3 + 2*i**3 + 0*i**3 + 10*i**2 - 3*i**3 = 0.
-5, 0
Let b(p) be the second derivative of 3*p**5/140 - p**4/14 + 114*p. Factor b(l).
3*l**2*(l - 2)/7
Let r(f) be the first derivative of 9*f**4/4 + 13*f**3 + 3*f**2 - 24*f - 111. What is w in r(w) = 0?
-4, -1, 2/3
Let k(h) be the first derivative of 10*h**6/9 - 19*h**5/3 + 115*h**4/12 - 25*h**3/9 - 5*h**2/2 - 300. Solve k(t) = 0 for t.
-1/4, 0, 1, 3
Suppose -24*q + 9 = -9*q - 21. Suppose 0 + 0*k**q - 2/11*k**5 - 2/11*k**4 + 0*k + 0*k**3 = 0. Calculate k.
-1, 0
Let v(c) be the third derivative of -c**6/40 - 21*c**5/20 - 99*c**4/8 + 121*c**3/2 + 324*c**2. Factor v(g).
-3*(g - 1)*(g + 11)**2
Factor -12/5*w**2 + 12/5 - 3/5*w**3 + 3/5*w.
-3*(w - 1)*(w + 1)*(w + 4)/5
Let w(h) be the first derivative of 4*h**3/3 + 16*h**2 + 141. Find y such that w(y) = 0.
-8, 0
Let b(d) be the first derivative of 0*d + 4 - 5/2*d**2 - 1/24*d**4 - 1/60*d**5 + 0*d**3. Let i(o) be the second derivative of b(o). Let i(l) = 0. What is l?
-1, 0
Let y(p) be the first derivative of p**7/70 + p**6/8 + p**5/5 - 31*p**2/2 - 20. Let v(s) be the second derivative of y(s). Factor v(u).
3*u**2*(u + 1)*(u + 4)
Let w = 152 - 148. Find u such that 11*u - 16*u + 3*u**3 - 6*u**3 + 2 + 2*u**3 + w*u**2 = 0.
1, 2
Let h(a) = -a**3 - 2*a**2 + 3*a + 1. Let t be h(-3). Let k be t + 7 - (-2 - -6). Factor -1/7*l**k - 1/7*l**2 + 2/7*l**3 + 0 + 0*l.
-l**2*(l - 1)**2/7
Let t be (-16)/12 - 78/(-18). Suppose 16*u - t + 3 = 0. Factor l + u - 1/2*l**2 - 1/2*l**3.
-l*(l - 1)*(l + 2)/2
Factor 70*x + 55/2*x**2 + 30.
5*(x + 2)*(11*x + 6)/2
Find y, given that -17/3*y - 11/2 - 1/6*y**2 = 0.
-33, -1
Let x(f) = -f**3 - 10*f**2 - 23*f - 3. Let m be x(-3). Find a, given that -384/17*a + 1024/17 - 2/17*a**m + 48/17*a**2 = 0.
8
Suppose 0 = -5*f + h + 12, 3*f = -0*f - h + 12. Let q be (-10)/(-24)*3 - (-39)/(-36). Factor 1/6*t**f + 0 + 0*t - q*t**2.
t**2*(t - 1)/6
Let j(k) be the first derivative of 4*k**3/3 + 22*k**2 - 48*k - 724. Determine g so that j(g) = 0.
-12, 1
Let p(a) be the second derivative of 1/100*a**5 + 0 + 3/2*a**3 - 1/180*a**6 + 1/30*a**4 - 2*a + 0*a**2. Let y(s) be the second derivative of p(s). Factor y(n).
-2*(n - 1)*(5*n + 2)/5
Let j(w) be the second derivative of -w**6/90 + w**5/15 + w**4/36 - 2*w**3/9 - 4*w - 1. Suppose j(r) = 0. Calculate r.
-1, 0, 1, 4
Factor 1/3*s**3 + 4355/3*s + 4489/3 - 133/3*s**2.
(s - 67)**2*(s + 1)/3
Let b(k) be the third derivative of 10*k**2 + 0*k + 0 - 1/300*k**5 + 0*k**3 + 1/1050*k**7 - 1/120*k**4 + 1/600*k**6. Factor b(i).
i*(i - 1)*(i + 1)**2/5
Suppose 13*i = 8*i. Suppose i = t + t - 24. Factor 15*b**3 + 10 + t*b - 10 - 36*b**2.
3*b*(b - 2)*(5*b - 2)
Let a(r) be the second derivative of -r**8/23520 - r**7/8820 + r**6/2520 + r**5/420 + r**4 - 3*r. Let o(s) be the third derivative of a(s). Factor o(z).
-2*(z - 1)*(z + 1)**2/7
Suppose -5*z = 2*h - 4, -5*z - 7 = -3*h + 49. Suppose 0*n + 2*r = -4*n, -2*r - h = -2*n. Factor -4 - 8*g**4 + 7*g**2 + 6*g**5 - 8*g**3 + 2*g**2 + 2*g + 3*g**n.
2*(g - 1)**3*(g + 1)*(3*g + 2)
Let c(f) = -4*f - 4. Let y(v) = v - 1. Let b(p) = c(p) + 5*y(p). Let i be b(11). Solve -3*d - d**2 + 7*d + 13*d**2 + 2*d**i = 0.
-2/7, 0
Let b = 6457/5 + -1291. Factor -b*g + 1/5*g**2 + 1/5.
(g - 1)**2/5
Let v = 13303/3 + -4433. Factor -v*z**2 + 0*z - 2/9*z**4 + 0 - 14/9*z**3.
-2*z**2*(z + 1)*(z + 6)/9
Let n(x) be the second derivative of -x**5/4 - 5*x**4/12 - 5*x + 8. Suppose n(o) = 0. Calculate o.
-1, 0
Let w(q) b