/15 + 2*u**2 + 8*u. Find m, given that h(m) = 0.
1, 4
Let y(n) be the third derivative of 3*n**7/49 - 7*n**6/20 + 19*n**5/35 + n**4/7 - 8*n**3/7 + 3*n**2 - 19. What is p in y(p) = 0?
-2/5, 2/3, 1, 2
Let d(n) be the first derivative of n**5/60 + 2*n**4/9 + 7*n**3/6 + 3*n**2 - 32*n + 20. Let b(t) be the first derivative of d(t). Suppose b(f) = 0. What is f?
-3, -2
Let b(h) = -27*h**3 - 38*h**2 + 5*h + 10. Let o(m) = 53*m**3 + 74*m**2 - 9*m - 19. Let u(n) = 11*b(n) + 6*o(n). Factor u(q).
(q + 1)*(3*q - 1)*(7*q + 4)
Let q(z) be the third derivative of 0 - 13*z**2 + 0*z + 9/20*z**5 + 1/210*z**7 + 9/8*z**4 + 3/40*z**6 + 0*z**3. Determine l, given that q(l) = 0.
-3, 0
Factor -14/9*h**3 - 4/3*h**2 - 2/9*h**4 + 0 + 0*h.
-2*h**2*(h + 1)*(h + 6)/9
Let o(b) be the second derivative of -b**7/3780 - b**6/1080 - 7*b**4/12 - 21*b. Let y(k) be the third derivative of o(k). Factor y(h).
-2*h*(h + 1)/3
Suppose -2 = -2*w - 0. Let o(r) = -4*r**2 - 4*r + 6. Let u(p) = p**2 + p. Let x(c) = w*o(c) + u(c). Let x(s) = 0. Calculate s.
-2, 1
Let p = -38511 - -38513. Find f such that -6/7*f**p - 2/7 - 6/7*f - 2/7*f**3 = 0.
-1
Let v = -746 - -750. Let b(h) be the first derivative of 6 - h + 2/3*h**3 - 1/5*h**5 + 0*h**2 + 0*h**v. Factor b(z).
-(z - 1)**2*(z + 1)**2
Factor -1/11*o**2 + 10/11*o - 9/11.
-(o - 9)*(o - 1)/11
Suppose 2236*d - 2244*d = -16. Let l(a) be the second derivative of a + 0 - 17/40*a**5 - 1/3*a**3 + 1/12*a**6 + 2/3*a**4 + 0*a**d. Find m, given that l(m) = 0.
0, 2/5, 1, 2
Suppose -10*i = 2*n - 12*i, 3*n + 6 = 5*i. Factor -2/3*c**n + 2*c**2 + 0 - 4/3*c.
-2*c*(c - 2)*(c - 1)/3
Let b(m) = -m**3 + m**2 + 4*m. Let c be b(-2). Suppose 0*a + 39*a**c - 6*a**3 + 0*a - 41*a**4 = 0. Calculate a.
-3, 0
Factor 1/3*x**3 - 28 - 82/3*x**2 - 167/3*x.
(x - 84)*(x + 1)**2/3
Let c(m) be the second derivative of -m**7/21 + 2*m**5/5 - m**4/3 - m**3 + 2*m**2 - 77*m. Factor c(v).
-2*(v - 1)**3*(v + 1)*(v + 2)
Let p = -460 - -466. Let a(f) be the third derivative of 1/3*f**3 + 1/120*f**p + 6*f**2 - 1/8*f**4 + 0*f**5 + 0 + 0*f. Find v such that a(v) = 0.
-2, 1
Let i(s) = s**3 + 7*s**2 + 5*s - 6. Suppose -h - 5*v + 19 = -0*h, 5*h + 45 = 3*v. Let x be i(h). What is g in 3/2*g**3 - 3/4*g**4 + 0 + x*g**2 + 0*g = 0?
0, 2
Let p(l) be the first derivative of -9 + 4/5*l + 3/5*l**2 + 2/15*l**3. Determine k so that p(k) = 0.
-2, -1
Let h(v) be the third derivative of -v**8/224 - v**7/140 + 7*v**6/40 + 7*v**5/10 - v**4/2 - 8*v**3 + 647*v**2. What is l in h(l) = 0?
-2, 1, 4
Let x(c) = -3*c**2 - 149*c - 376. Let f be x(-47). Find h, given that f + 0*h**2 - 21/2*h**4 + 9/2*h**5 + 3*h**3 + 0*h = 0.
0, 1/3, 2
Let o be ((-705)/(-94))/((-5)/(-2)). Solve 8/7*g**5 - 2/7*g**2 + 0 - 8/7*g**o + 0*g + 2/7*g**4 = 0 for g.
-1, -1/4, 0, 1
Let c(t) be the first derivative of -1/6*t**3 + 3 + 1/2*t**2 + 0*t. Factor c(k).
-k*(k - 2)/2
Let b(f) be the second derivative of -f**5/170 + 11*f**4/102 - 8*f**3/17 - 36*f**2/17 + 35*f. Factor b(c).
-2*(c - 6)**2*(c + 1)/17
Let r be 22/(1*6/(-3)). Let m = -8 - r. Find u, given that -u**3 - 4*u**m + 3*u**2 - 4*u**3 - 4*u + 9*u**2 = 0.
0, 2/3
Let j be 5/(-10) + 2 + (-961)/126. Let l = j + 46/7. Let 0 - l*r + 2/9*r**2 = 0. What is r?
0, 2
Let b(d) be the third derivative of 7/20*d**5 + 9/2*d**3 - 2*d**2 - 1/40*d**6 - 15/8*d**4 + 0 + 0*d. Factor b(h).
-3*(h - 3)**2*(h - 1)
Determine o so that -o**2 + 51*o - 23*o - o**3 - 28*o = 0.
-1, 0
Let z(n) be the second derivative of n**7/504 + n**6/48 + 7*n**4/6 + 14*n. Let j(a) be the third derivative of z(a). Suppose j(i) = 0. What is i?
-3, 0
Let d = 438 - 434. Let t(j) be the first derivative of 0*j**2 + 1/30*j**d + 0*j + 11 - 2/45*j**3. Determine g, given that t(g) = 0.
0, 1
Let g(r) be the first derivative of -r**8/840 + r**6/100 - r**5/75 - 9*r**2/2 + 8. Let b(w) be the second derivative of g(w). Factor b(k).
-2*k**2*(k - 1)**2*(k + 2)/5
Factor 24*q**3 + 19*q + 3*q**4 + 8 + 47*q - 5*q**2 + 68*q**2 + 16.
3*(q + 1)**2*(q + 2)*(q + 4)
Let p(z) be the first derivative of 3/2*z**2 - 1/3*z**6 - 9/10*z**5 - 1/4*z**4 + 11 + 4/3*z**3 + 1/2*z. Find f such that p(f) = 0.
-1, -1/4, 1
Let j = -166824/11 - -15166. Factor 2/11*a**3 + 0 + 0*a**2 - j*a**5 + 0*a**4 + 0*a.
-2*a**3*(a - 1)*(a + 1)/11
Factor 4*p**2 - 2/7*p**3 + 62/7*p + 32/7.
-2*(p - 16)*(p + 1)**2/7
Let y = 12/61 - -123/305. Suppose 3/5*a**3 + 0 - 3/5*a**4 + 0*a + y*a**2 - 3/5*a**5 = 0. What is a?
-1, 0, 1
Let q(t) = 68*t + 348. Let n be q(-5). Let d(s) be the first derivative of -1/5*s**3 - 6/5*s + n + 9/10*s**2. Find o such that d(o) = 0.
1, 2
Let w(g) be the second derivative of 1/5*g**5 - 2/15*g**6 + 0*g**2 + 0 + 0*g**3 - 30*g + 0*g**4. What is n in w(n) = 0?
0, 1
Let h be ((-7)/140)/((-9)/12). Let x(j) be the first derivative of h*j**2 - 4/15*j + 2/45*j**3 - 4. Let x(k) = 0. Calculate k.
-2, 1
Let l be ((-4)/(-8))/((-1)/(-10 + 3)). Factor -4*p + l*p**4 + 0 + 10*p**2 + 13*p**3.
p*(p + 2)**2*(7*p - 2)/2
Let c(a) be the first derivative of 2/13*a**3 - 17 + 2/13*a - 3/13*a**2 - 1/26*a**4. Factor c(h).
-2*(h - 1)**3/13
Suppose -5*u = 5*t - 40, 28 = -96*t + 100*t + 3*u. Factor 16/3*n**2 + t*n**3 + 2/3*n**4 - 6 - 4*n.
2*(n - 1)*(n + 1)*(n + 3)**2/3
Let w be (-4 + 9/2)*14. Suppose 0 = -v - p + w, 2*v - 2*p - 10 = -3*p. What is l in -2*l**5 - 2*l**2 - 3 + 6 + 2*l**v - 3 + 2*l**4 = 0?
-1, 0, 1
Let d(x) be the second derivative of 5*x**4/48 - 35*x**3/2 + 2205*x**2/2 - 3*x - 19. Determine n so that d(n) = 0.
42
Let p(m) = 17*m**2 + 11*m + 5. Suppose 75*j - 77*j = -12. Let d(g) = -9*g**2 - 6*g - 3. Suppose 0 = 4*q - 40 - 4. Let h(z) = j*p(z) + q*d(z). Factor h(w).
3*(w - 1)*(w + 1)
Factor 16 + 7*r + 21*r - 18*r**2 + 14*r**3 - 42*r + 2*r**4.
2*(r - 1)**2*(r + 1)*(r + 8)
Let o(y) be the first derivative of -y**4/16 + y**3/3 + 15*y**2/8 - 9*y/2 - 482. Find d, given that o(d) = 0.
-3, 1, 6
Let z be (-1*(-24)/(-20))/(4/(-10)). Suppose -4*a + 24 = -4*d, -2*a = -z*a - 4*d - 14. Let -8/3*n**3 + 5/3*n**4 + 4/3*n**a + 0 + 0*n - 1/3*n**5 = 0. What is n?
0, 1, 2
Suppose 52*j = 57*j - 20. Let r(s) be the second derivative of 10*s + 0 + 5/3*s**3 + 1/3*s**j + 2*s**2. Factor r(b).
2*(b + 2)*(2*b + 1)
Let a(p) = -14*p**3 + 15*p**2 + 7*p + 12. Let x(s) = 5*s**3 - 5*s**2 - 2*s - 4. Let j(n) = -6*a(n) - 17*x(n). Factor j(t).
-(t + 1)*(t + 2)**2
Let h(w) = 2*w**2 - w - 1. Let f(t) = 24*t**2 - 21*t - 3. Let q(a) = -2*f(a) + 22*h(a). Factor q(p).
-4*(p - 4)*(p - 1)
Determine u, given that -37*u**2 + u**3 + u**3 + 7*u**2 - 104*u - 36 - 36 = 0.
-2, -1, 18
Let i(w) be the first derivative of w**4/16 + 2*w**3 - 25*w**2/8 - 1043. Let i(t) = 0. Calculate t.
-25, 0, 1
Factor -1/7*m + 0*m**3 + 0 + 1/7*m**5 - 2/7*m**4 + 2/7*m**2.
m*(m - 1)**3*(m + 1)/7
Let g = -770 - -770. Let i(c) be the third derivative of 0*c - 1/84*c**8 - 8/105*c**7 + 0 - 7*c**2 + 0*c**4 - 1/6*c**6 + g*c**3 - 2/15*c**5. Factor i(l).
-4*l**2*(l + 1)**2*(l + 2)
Let k(g) be the third derivative of -g**6/540 + g**5/180 - 23*g**3/6 - 12*g**2. Let a(p) be the first derivative of k(p). Factor a(m).
-2*m*(m - 1)/3
Factor 8 - 1/4*i**4 + 3*i**2 + 1/2*i**3 - 10*i.
-(i - 2)**3*(i + 4)/4
Let p(o) be the third derivative of -o**9/3780 - o**8/1050 - o**7/1050 + 5*o**3/2 + o**2. Let w(a) be the first derivative of p(a). Factor w(m).
-4*m**3*(m + 1)**2/5
Suppose 0*h + 3*h + 4*x - 16 = 0, -2*x = -2*h + 6. Determine l, given that -4*l**3 - 4*l + 12*l**2 - 12*l**h + 3*l - 4*l**5 + 9*l = 0.
-2, -1, 0, 1
Let m(s) = -s**4 - s**3 + s**2 + 2*s - 1. Let j(o) = -10*o**4 - 10*o**3 + 20*o**2 + 24*o - 24. Let h(x) = -j(x) + 8*m(x). Find k, given that h(k) = 0.
-2, 1, 2
Let g = 1547/4 + -386. Let m(c) be the first derivative of -3/5*c**5 + 0*c**2 - g*c**4 + 6 + 0*c + 0*c**3. Let m(p) = 0. Calculate p.
-1, 0
Let -60*p + 19*p**2 + 142*p - 209*p**3 + 21*p**2 + 64*p**3 + 158*p - 5*p**5 + 50*p**4 = 0. What is p?
-1, 0, 3, 4
Let w(c) be the second derivative of 16/21*c**3 + 4/7*c**2 + 11/70*c**5 + 21*c + 1/2*c**4 + 2/105*c**6 + 0. Find q such that w(q) = 0.
-2, -1, -1/2
Let s(m) be the first derivative of m**4/22 - 58*m**3/33 - 61*m**2/11 - 62*m/11 - 578. Determine c, given that s(c) = 0.
-1, 31
Let c be 2*12/(-40) - (9 + (-1414)/140). Let c*q**3 - 1/2*q + 0 - 1/4*q**4 + 1/4*q**2 = 0. What is q?
-1, 0, 1, 2
Let w(x) be the third derivative of -x**8/168 - x**7/15 - 7*x**6/30 - x**5/