is f?
-1/9
Let d(c) = 33*c**2 - c + 2. Let f(x) = 74*x**2 - 2*x + 5. Let m(h) = -9*d(h) + 4*f(h). Factor m(n).
-(n - 2)*(n + 1)
Let i(v) be the second derivative of -v**4/6 - 14*v**3/3 + v**2/2 + 12*v. Let c(h) = -h**2 - 19*h + 1. Let l(m) = 7*c(m) - 5*i(m). Factor l(z).
(z + 2)*(3*z + 1)
Let o = 8812217/41404 - 63/3764. Let w = 213 - o. Factor 8/11*c**3 + 6/11*c**4 + 0 - 4/11*c - w*c**2.
2*c*(c + 1)**2*(3*c - 2)/11
Let d = -2094 - -10471/5. Let s(u) be the second derivative of -4/3*u**3 + u**4 - d*u**5 + 0 + 0*u**2 + 5*u. Factor s(a).
-4*a*(a - 2)*(a - 1)
Let u(t) = 2*t**3 - 2*t + 0*t + t + t**2. Let y be u(1). Factor 20*z**3 + z + y*z**2 + 12*z**5 - z + 2*z**2 + 28*z**4.
4*z**2*(z + 1)**2*(3*z + 1)
Suppose -7*n + 3*l = -8*n - 9, 12 = -3*n - 4*l. Let m(y) be the second derivative of 1/36*y**4 + 5*y + n + 8/3*y**2 + 4/9*y**3. Find k, given that m(k) = 0.
-4
Let c(v) be the first derivative of 0*v + 0*v**2 + 0*v**3 + 1/3*v**6 + 6/5*v**5 + 30 + 0*v**4. Suppose c(f) = 0. What is f?
-3, 0
Suppose 8*o**3 - 12*o**3 + 6 + 39*o - 17*o**3 - 24*o**2 = 0. Calculate o.
-2, -1/7, 1
Let u = -102 - -118. Suppose 86*j**2 - 16*j**3 - 94*j**2 + 10 + u*j + 4 - 4*j**4 - 2 = 0. Calculate j.
-3, -1, 1
Let q(m) be the second derivative of m**4/12 + 25*m**3/3 + 48*m**2 + m - 209. Suppose q(b) = 0. Calculate b.
-48, -2
Let j(y) be the first derivative of -1/9*y**3 + 0*y - 21 - 5/6*y**2. Find s, given that j(s) = 0.
-5, 0
Let j(y) be the second derivative of y**4/12 - 19*y**3/6 + 17*y**2 - 29*y. Let t be j(17). Factor t - 3/2*l - 3/4*l**2 + 3/4*l**3.
3*l*(l - 2)*(l + 1)/4
Determine o, given that 6*o + 22*o**4 + 72*o**2 + 6*o**4 - 2*o**5 + 48*o - 8*o**4 - 68*o**3 - 108 = 0.
-1, 2, 3
Let l be -16*(-123)/(-9)*9/(-12). Suppose -161*p**5 + 3*p**3 - 6 + l*p**5 + 6 - 6*p**4 = 0. Calculate p.
0, 1
Suppose 0 = -81*c + 64*c. Let c*u**2 + 0*u - 1/2*u**3 + 0 + 2/5*u**4 + 1/10*u**5 = 0. What is u?
-5, 0, 1
Let h = -92 - -95. Let p(x) = -x**2 - 6*x + 10. Let r be p(-7). Solve 4*z**2 + 8*z**h - 18*z**r + 8*z**3 = 0 for z.
0, 2
Let p be (8/24)/((-1)/(-6)). Suppose 5*t = 11 + 9. Factor 6*n**2 - 2*n**3 + t*n - 2*n**p - 6*n**2.
-2*n*(n - 1)*(n + 2)
Let d = -9209 - -9212. Suppose 1/3*t**2 + 0 - 1/2*t**4 + 0*t - 5/6*t**d = 0. What is t?
-2, 0, 1/3
Let g(l) = -4*l**4 - 8*l**3 - 2*l**2 - 2*l. Let p(v) = 17*v**4 + 33*v**3 + 7*v**2 + 9*v. Let t(r) = 9*g(r) + 2*p(r). Factor t(f).
-2*f**2*(f + 1)*(f + 2)
Suppose 4*g = -c + 17, -5*c = g - 5*g - 13. Let l be 4 - (-4 + 23/g). Solve 1/3*j - l*j**2 + 0 = 0.
0, 1
Suppose 72*j**2 + 167*j**3 + 54 - 54 - 9*j**5 - 53*j**3 + 3*j**4 = 0. Calculate j.
-3, -2/3, 0, 4
Let q(s) be the third derivative of -1/24*s**5 + 0*s**4 + 15*s**2 + 0 + 0*s**3 + 1/240*s**6 + 0*s. Factor q(n).
n**2*(n - 5)/2
Factor 18/7*a**2 + 0 + 0*a - 6/7*a**3.
-6*a**2*(a - 3)/7
Let i(u) = -u**2 - 9*u - 16. Let v be i(-4). Suppose v*j**2 - 15*j**3 - 80*j + 64 + 8*j**3 + 176*j - 17*j**3 + 4*j**4 = 0. Calculate j.
-1, 4
Let w(t) = 3*t - 1. Let k be w(1). Factor -64*u + 249 - 44*u**2 - 4*u**4 - 44*u**3 + 7 - 100*u**k.
-4*(u - 1)*(u + 4)**3
Find k such that -3*k - 12 - 3/2*k**3 + 15/2*k**2 = 0.
-1, 2, 4
Factor 135/2 + 5/2*n**2 - 30*n.
5*(n - 9)*(n - 3)/2
Suppose 87*k + 7*k = 18*k. Find w, given that 14/5*w**2 + 2/5*w**5 + 2*w**4 + 4/5*w + 18/5*w**3 + k = 0.
-2, -1, 0
Let q(o) be the third derivative of 1/180*o**5 + 0*o**4 + 1/210*o**7 - 1/1008*o**8 + 0 + 0*o - 44*o**2 + 0*o**3 - 1/120*o**6. Factor q(k).
-k**2*(k - 1)**3/3
Let f(l) be the third derivative of -l**9/75600 + l**8/16800 - l**4/3 + 6*l**2. Let q(j) be the second derivative of f(j). Let q(a) = 0. What is a?
0, 2
Let k(a) be the second derivative of a**8/672 + a**7/84 - 5*a**6/144 + a**3/3 - 3*a. Let j(n) be the second derivative of k(n). Factor j(o).
5*o**2*(o - 1)*(o + 5)/2
Suppose -2*x + 2/7*x**2 - 16/7 = 0. What is x?
-1, 8
Let t(g) be the first derivative of 15*g**4/4 - 2*g**3 - 2. Let t(c) = 0. Calculate c.
0, 2/5
Let g be 440/144 + (-5 - -2). Let u(o) be the first derivative of -g*o**4 - 1/27*o**6 + 0*o**3 + 0*o**2 - 4/45*o**5 + 1 + 0*o. Let u(i) = 0. What is i?
-1, 0
Let a(d) be the third derivative of d**5/20 + d**4/2 + d**3 - d**2. Let p(o) = o**2 + o + 1. Let r = 92 + -91. Let x(v) = r*a(v) - 6*p(v). Factor x(g).
-3*g*(g - 2)
Let s(r) be the first derivative of -r**5/5 - r**4/4 + r**3 + r**2/2 - 2*r + 58. Factor s(b).
-(b - 1)**2*(b + 1)*(b + 2)
Let x be (3/(-1))/3 - 4. Let b = 21/4 + x. Solve 0 + 1/4*h**2 + b*h = 0 for h.
-1, 0
Let f be (8/4)/(2/7). Let l = -4 + f. Factor -11/6*s**4 + 5/6*s + 1/3 - 9/2*s**2 + 31/6*s**l.
-(s - 1)**3*(11*s + 2)/6
Let c(h) = 7*h**2 + 330*h + 1056. Let i(m) = 5*m**2 + 220*m + 705. Let s(b) = 5*c(b) - 8*i(b). Factor s(a).
-5*(a + 4)*(a + 18)
Let i(h) be the second derivative of 0 - 5/6*h**4 + 0*h**3 + 0*h**2 - 8*h + 1/4*h**5. Suppose i(q) = 0. Calculate q.
0, 2
Let r(p) be the first derivative of -p**4/12 - 2*p**3 + 19*p**2/6 - 77. Factor r(i).
-i*(i - 1)*(i + 19)/3
Let a(k) = -59*k**2 - 158*k + 67. Let c(y) = 324*y**2 + 868*y - 368. Let q(o) = -28*a(o) - 5*c(o). Factor q(h).
4*(h + 3)*(8*h - 3)
Let o = 619 + -22283/36. Let h(g) be the third derivative of 5*g**2 + 1/630*g**7 + 0 + o*g**5 - 1/90*g**6 + 0*g**3 - 1/36*g**4 + 0*g. What is c in h(c) = 0?
0, 1, 2
Let n = -174662/9 - -19407. Factor -n - 11/9*j**3 - 1/9*j + 4/9*j**4 + j**2.
(j - 1)**3*(4*j + 1)/9
Find k, given that 10*k**2 - 5/2*k**5 + 0 - 15/2*k**4 + 0*k + 0*k**3 = 0.
-2, 0, 1
Let o(m) be the first derivative of -88*m**3/3 - 41*m**2 + 6*m + 101. Factor o(s).
-2*(s + 1)*(44*s - 3)
Suppose 1/2*n**2 + 50 - 10*n = 0. What is n?
10
Let t = 124 + -93. Suppose -t*m**4 - 25*m**4 + 16*m - 226*m**3 - 5*m**2 + 0*m**2 + m**2 = 0. Calculate m.
-4, -2/7, 0, 1/4
Let m(i) = -2*i**3 + 8*i**2 - 6*i + 2. Let k be m(3). Let o(s) be the first derivative of 3/4*s**4 + 3*s**k - 3*s**3 - 4 + 0*s. Factor o(q).
3*q*(q - 2)*(q - 1)
Let d(c) be the second derivative of c**5/70 - 11*c**4/14 + 121*c**3/7 - 1331*c**2/7 - c + 40. Factor d(t).
2*(t - 11)**3/7
Factor -3*w + 25*w**2 + 32*w**2 + 29*w**2 - 94*w**2 + 3*w**3.
w*(w - 3)*(3*w + 1)
Let n be 2 - 22/(2 - 13). Let r(q) be the second derivative of -2/15*q**6 + 0 + 7*q + 0*q**2 + 0*q**n + 0*q**3 + 1/5*q**5. Let r(b) = 0. What is b?
0, 1
Solve 8 - 1/2*q**2 - 15/2*q = 0.
-16, 1
Let y = 816 + -2446/3. Determine g so that -1/2*g**2 - 4/3*g - y = 0.
-2, -2/3
Let j(d) be the first derivative of 2*d**6/3 - 4*d**5 + 6*d**4 + 8*d**3/3 - 14*d**2 + 12*d + 8. Suppose j(l) = 0. Calculate l.
-1, 1, 3
Let h(l) be the first derivative of -l**7/210 + l**6/75 + 11*l - 6. Let m(g) be the first derivative of h(g). Let m(u) = 0. What is u?
0, 2
Let o(u) be the third derivative of -1/3*u**4 + 0*u + 2/3*u**3 + 1/336*u**8 - 1/42*u**7 + 0 - 24*u**2 + 1/60*u**5 + 7/120*u**6. What is n in o(n) = 0?
-1, 1, 2
Let u(g) = -g - 6. Let f be u(-10). Factor -9*s**5 + 21*s**4 + f*s**2 + 1045*s - 1045*s - 16*s**3.
-s**2*(s - 1)*(3*s - 2)**2
Let g(h) = -12*h**2 + 4*h - 8. Let y(u) = -u**2 - 1. Suppose 0 = 5*i + 1 - 6. Let d(q) = i*g(q) - 8*y(q). Let d(k) = 0. Calculate k.
0, 1
Let s = 6 + -3. Factor -p**3 + 6*p**3 + 7*p**s - 2*p**4 - 12*p**2 - 2*p**4 + 4*p.
-4*p*(p - 1)**3
Let z(c) be the first derivative of 3*c**8/56 - c**7/35 - c**6/12 - c**5/30 + 5*c**2/2 + 19. Let s(h) be the second derivative of z(h). Factor s(x).
2*x**2*(x - 1)*(3*x + 1)**2
Suppose 16*p - 9*p = 0. Let q be ((1 - 3) + p)*-1. Factor -1/2*v**q + v + 0.
-v*(v - 2)/2
Let r(d) be the first derivative of 16/39*d**3 + 0*d**2 + 0*d - 1/26*d**4 + 4. Factor r(w).
-2*w**2*(w - 8)/13
Let d(b) be the first derivative of b**6/15 - 2*b**5/5 + 3*b**4/5 - 28. Determine j so that d(j) = 0.
0, 2, 3
Let d(k) be the third derivative of -5/6*k**4 - 2/105*k**7 + 4/3*k**3 + 1/5*k**5 + 0*k + 1/30*k**6 + 0 - 32*k**2. Factor d(l).
-4*(l - 1)**3*(l + 2)
Suppose 2*g = h - 0*g - 11, g = -4*h - 1. Let p(z) be the first derivative of -1/21*z**3 + 1/7*z**2 - h - 1/7*z. Factor p(b).
-(b - 1)**2/7
Find c, given that 0 - 2/9*c**5 - 8/9*c**4 + 2/3*c - 4/9*c**3 + 8/9*c**2 = 0.
-3, -1, 0, 1
Let u be (-1)/2 - (-3)/6. Let x = 2181/5 - 436. Solve 2/5*j + u - 1/5*j**3 + x*j**2 = 0.
-1, 0, 2
Let i(v) = 2*v**2 - v - 18. Let k(h) = 2. Let f(q) = 2*i(q) + 18*k(q). Let b be f(1). Factor 2 - 2*d + 1/2*d**b.
(d - 2)**2/2
Sup