a) be the third derivative of -a**7/2520 + a**5/120 - 7*a**4/24 + 8*a**2. Let o(u) be the second derivative of f(u). Determine y, given that o(y) = 0.
-1, 1
Let r(y) = -6*y**2 - 16*y. Let a = -37 + 43. Let x(b) = 2*b**2 + 5*b. Let h(i) = a*r(i) + 20*x(i). Factor h(u).
4*u*(u + 1)
Suppose -9*u - 24 + 15 = 0. Let i be ((-3)/(-7 - u))/1. Determine t, given that -i*t**3 + 1/2*t + 1/4*t**2 + 0 - 1/4*t**4 = 0.
-2, -1, 0, 1
Let j(t) be the third derivative of t**7/525 - 2*t**6/75 + 7*t**5/150 - 6*t**2 + 30*t. Factor j(i).
2*i**2*(i - 7)*(i - 1)/5
Let i(h) = -h**3 + 3. Let l be i(0). Let o(c) = -2*c + 5. Let r be o(1). Factor -8*u**2 - 3*u**5 - 16*u**r - 12*u**4 + 0*u - 4*u**2 - 3*u - 2*u**l.
-3*u*(u + 1)**4
Let x be 1 - (10/(-6) - 4 - -6). Factor -4/9*u**5 + 0*u**3 - 2/9*u**2 + 0*u + 0 + x*u**4.
-2*u**2*(u - 1)**2*(2*u + 1)/9
Let f(y) = -2*y**2 - 18*y - 9. Let b be f(-8). Suppose g = 12 - b. Factor 0 + 0*q**2 + 0*q + 3/4*q**g + 0*q**3 + 9/4*q**4.
3*q**4*(q + 3)/4
Find n, given that -1/3*n**4 + 1/3*n + 0 + 4/3*n**2 - 1/12*n**3 = 0.
-2, -1/4, 0, 2
Let b = -556 - -558. Let y(r) be the second derivative of 1/10*r**5 + 0*r**2 + 0 + 0*r**3 - b*r - 1/30*r**6 - 1/12*r**4. Factor y(o).
-o**2*(o - 1)**2
Let a be -10 + 168/20 + 2. Solve 6/5 - a*k**3 + 2/5*k - 6/5*k**2 = 0 for k.
-3, -1, 1
Factor 3/5*g**3 - 2/5*g**2 - 12/5*g - 8/5 + 1/5*g**4.
(g - 2)*(g + 1)*(g + 2)**2/5
Let t(w) = 35*w**4 - 16*w**3 - 404*w**2 - 188*w - 21. Let d(x) = -x**4 + 2*x**2 - 2*x - 1. Let g(v) = -6*d(v) - 2*t(v). Solve g(b) = 0.
-3, -1/4, 4
Let l(h) be the second derivative of h**4/30 - 26*h**3/15 + 169*h**2/5 + 349*h. Find o such that l(o) = 0.
13
Let x(q) = 6*q**2 - 3*q + 9. Let f(a) = -a**2 + a. Let d(g) = -9*f(g) - x(g). Determine u so that d(u) = 0.
-1, 3
Let c(j) be the first derivative of j**4/9 + 4*j**3/3 - 14*j**2/3 - 8*j - 5. Let s(v) be the first derivative of c(v). Determine h so that s(h) = 0.
-7, 1
Factor -2/15*y**2 - 9248/15 - 272/15*y.
-2*(y + 68)**2/15
Find q such that 1/3*q**4 + 1/3*q - 1/3*q**2 - 1/3*q**3 + 0 = 0.
-1, 0, 1
Suppose 5*m + 6 - 16 = 0. Suppose -2*b - b**2 - m*b**4 + 197*b**3 - 195*b**3 + 3*b**2 = 0. What is b?
-1, 0, 1
Let h(u) be the third derivative of 0*u**4 + 0 + 0*u - 1/24*u**5 - 1/420*u**7 + 1/40*u**6 + 0*u**3 - 17*u**2. Let h(y) = 0. What is y?
0, 1, 5
Let v(q) be the first derivative of -q**6/48 + 7*q**5/80 - q**4/8 - 4*q**3/3 - 7. Let k(w) be the third derivative of v(w). Let k(d) = 0. What is d?
2/5, 1
Let r(p) = p**2 + p - 13. Let c be r(-8). Let g = -43 + c. Let 1/2*i**2 + g + 3/4*i**3 + 0*i + 7/4*i**5 - 3*i**4 = 0. What is i?
-2/7, 0, 1
Find a, given that 2*a**2 + 1/4*a**5 - 3/2*a**3 - 3/4*a + 0 + 0*a**4 = 0.
-3, 0, 1
Suppose 42*j - 36 = 30*j. Let o(s) be the second derivative of 0*s**2 - 3*s + 1/135*s**6 - 1/54*s**4 + 0 + 0*s**5 + 0*s**j. Factor o(d).
2*d**2*(d - 1)*(d + 1)/9
Suppose -16*a - 1860 = -6*a. Let d = -183 - a. Factor 1/2*v**d - 1/2*v + 1/2*v**2 - 1/2.
(v - 1)*(v + 1)**2/2
Let u(p) be the first derivative of -p**4/18 - 8*p**3/3 - 95*p**2/3 + 1444*p/9 - 216. Factor u(v).
-2*(v - 2)*(v + 19)**2/9
Let j(g) = -g**2 + 3*g. Let k(d) = -d. Let v = -35 - -59. Suppose z = -3*z + v. Let h(i) = z*j(i) + 15*k(i). Let h(q) = 0. What is q?
0, 1/2
Solve 32/5 + 2/5*c**2 - 4*c = 0.
2, 8
Let u(r) be the second derivative of r**6/45 + 4*r**5/15 + 17*r**4/18 + 10*r**3/9 - r + 151. Solve u(n) = 0.
-5, -2, -1, 0
Let v = -22649 + 113297/5. Factor v*q + 2/5*q**2 + 338/5.
2*(q + 13)**2/5
Let k be ((-21)/14)/(2/(-8) + 0). Suppose k*z - 10 = 8*z + 2*v, v = 3*z - 5. Factor 3/5 + z*u + 3/5*u**4 - 6/5*u**2 + 0*u**3.
3*(u - 1)**2*(u + 1)**2/5
Let t(r) be the first derivative of -1/3*r**4 - 2/3*r**2 - 8/9*r**3 + 0*r + 5. Solve t(l) = 0.
-1, 0
Let k(h) be the second derivative of h**4/102 + 4*h**3/51 - 7*h + 3. Factor k(g).
2*g*(g + 4)/17
Let j = 1851/455 + -153/65. Factor -15/7*g - 3/7*g**2 - j.
-3*(g + 1)*(g + 4)/7
Let k(w) be the second derivative of -2*w**6/15 + w**5 + 7*w**4/3 - 10*w**3/3 - 12*w**2 - w + 3. Factor k(t).
-4*(t - 6)*(t - 1)*(t + 1)**2
Let d(u) = u**3 + 18*u**2 + 16*u + 4. Let f be d(-17). Find w, given that -4*w + 16 + 12*w**2 - 41 + 4*w**3 + f - 8*w**4 = 0.
-1, -1/2, 1
Let k(a) be the second derivative of -a**7/210 + 7*a**6/150 + 9*a**5/100 - 7*a**4/60 - 4*a**3/15 + 95*a. Suppose k(w) = 0. Calculate w.
-1, 0, 1, 8
Let n(w) be the third derivative of w**6/24 + 13*w**5/12 - 5*w**4/24 - 65*w**3/6 - 37*w**2. Let n(i) = 0. Calculate i.
-13, -1, 1
Let s(c) be the first derivative of -3*c**4/4 - 6*c**3 - 12*c**2 + 125. Factor s(d).
-3*d*(d + 2)*(d + 4)
Suppose u + 2*u + 1 = -f, u = -2*f + 3. Let j(q) be the first derivative of -2/15*q**3 + 0*q - 1/5*q**2 - f. Find p such that j(p) = 0.
-1, 0
Suppose 8*w - 46 = -6. Suppose v - 16 = x + w*v, 0 = -3*x + 3*v + 12. Solve x*z**2 + 1/2*z + 0*z**4 + 1/2*z**5 + 0 - z**3 = 0.
-1, 0, 1
Let g = 13775/13 + -1059. Suppose 6/13*l**2 + 0*l + 2/13*l**3 - g = 0. What is l?
-2, 1
Let q = -7445 - -22337/3. Solve q*k**2 + 6 - 4*k = 0.
3
Let j(o) = 55*o**2 + 175*o + 120. Let l be (-490)/8 + (-9)/(-36) + -4. Let f(g) = -5*g**2 - 16*g - 11. Let n(r) = l*f(r) - 6*j(r). Factor n(z).
-5*(z + 1)**2
Factor 0 + 9/7*b + 1/7*b**2.
b*(b + 9)/7
Suppose -2*c + 4 = 3*s - 2*s, 0 = 2*s - 4*c. Suppose -8 = 40*a - 42*a. Suppose -19*p**3 + 96*p**s + 20*p**a - 96*p - 14*p**4 + 32 - 21*p**3 = 0. What is p?
2/3, 2
Find x such that -34/7*x + 16/7*x**2 - 2/7*x**3 + 20/7 = 0.
1, 2, 5
Let h(p) = p**2 + 12*p + 13. Let b be (2 - (-2 - -5))*11. Let f be h(b). Determine u so that 70*u**2 + 2*u**5 - 6*u**4 - 72*u**f + 0*u**3 + 6*u**3 = 0.
0, 1
Let k be (-734)/(-5) + -3 + 0. Let r = k - 143. Determine a so that 8*a**4 - r*a - 56/5*a**3 + 0 + 26/5*a**2 = 0.
0, 2/5, 1/2
Suppose -9 - 3 = 3*h. Let p be (-24)/(-14) + h/(-14). Factor -2*o**p + 4*o**5 - 3*o**4 - 3*o**2 - 3*o**5 + 4*o**2 + 3*o**3.
o**2*(o - 1)**3
Let t(m) be the third derivative of -m**7/140 + 7*m**6/240 + 3*m**5/40 - 7*m**4/48 - m**3/2 + 2*m**2 - 2. Suppose t(k) = 0. Calculate k.
-1, -2/3, 1, 3
Let t(j) be the second derivative of 0 + 0*j**4 - 3/80*j**5 + 0*j**3 - 1/40*j**6 + 0*j**2 + 10*j. Find b, given that t(b) = 0.
-1, 0
Let 645*c + 16 + 5*c**3 - 320*c - 345*c - c**4 = 0. Calculate c.
-2, 1, 2, 4
Let r(c) = -c**2 + 392*c - 12814. Let k be r(36). Factor -1/2*d**k - 4/3*d - 2/3.
-(d + 2)*(3*d + 2)/6
Factor 2/17*i**4 - 4/17*i**3 + 0*i + 2/17*i**2 + 0.
2*i**2*(i - 1)**2/17
Let g(y) be the first derivative of y**3 + 15*y**2/2 - 157. What is d in g(d) = 0?
-5, 0
Find q such that -32*q - 2/3*q**3 + 200/3 - 34*q**2 = 0.
-50, -2, 1
Let s(t) = t**3. Let a(q) = 18*q**2 - 6*q**4 + 24*q**3 - 65*q + 2*q**4 + 45*q + 10*q**2 - 24. Let z(g) = -a(g) + 4*s(g). Factor z(x).
4*(x - 6)*(x - 1)*(x + 1)**2
Let g(k) be the second derivative of -k**6/90 - k**5/20 - k**4/18 + 4*k + 8. Find f such that g(f) = 0.
-2, -1, 0
Let p(l) = 5*l**5 - 10*l**3 + 8*l**2 + 9*l - 4. Let v(b) = -11*b**5 + 19*b**3 - 17*b**2 - 18*b + 7. Let q(f) = -5*p(f) - 2*v(f). Factor q(d).
-3*(d - 1)**3*(d + 1)*(d + 2)
Let n be (18/27)/(-1 + 4/3). Let w be 0 + 0 + 0 + 2. Factor 2 + 29 + 12*j**2 - 54*j - w*j**3 + 23 + 6*j**n.
-2*(j - 3)**3
Let y(l) be the third derivative of -l**7/1050 - l**6/20 - 21*l**5/25 - 49*l**4/15 - 418*l**2. Solve y(w) = 0.
-14, -2, 0
Let n(a) = -10*a**3 + 17*a**2 + 18*a + 2*a - 3 + 3. Let t(p) = -5*p**3 + 8*p**2 + 10*p. Let m(d) = -3*n(d) + 7*t(d). Factor m(q).
-5*q*(q - 2)*(q + 1)
Let f(z) be the third derivative of z**7/5880 + z**6/280 + z**5/56 - z**4/4 - 9*z**2. Let q(n) be the second derivative of f(n). Solve q(c) = 0 for c.
-5, -1
Let u(k) be the third derivative of k**7/7980 - k**6/3420 + 2*k**3 - 11*k**2. Let d(w) be the first derivative of u(w). Suppose d(i) = 0. What is i?
0, 1
Let z(c) = c**3 - 9*c**2 - c - 2. Let v be z(9). Let r = 13 + v. Factor -6*b**r - b**2 + 4*b**2 - 6*b.
-3*b*(b + 2)
Let f(n) = -3*n + 12. Let w be f(3). Suppose w*m = 4*m. Factor 8/7*k + m - 10/7*k**3 + 16/7*k**2.
-2*k*(k - 2)*(5*k + 2)/7
Suppose -4*z = -26 - 94. Suppose -32*p = -z*p. Solve 0*l + p + 2/3*l**3 - 4/3*l**2 = 0.
0, 2
Let d(f) be the second derivative of 0 + 0*f**2 + 1/40*f**5 + 1/3*f**3 + 14*f + 1/6*f**4. Let d(p) = 0. What is p?
-2, 0
Let l(k) be the second derivative of k**7/1260 + k**6/108 - k**5/30 + 9*k**3/2 + 13*