e the first derivative of -f**6/15 + 3*f**4/10 + 4*f**3/15 + 10. Factor i(m).
-2*m**2*(m - 2)*(m + 1)**2/5
Determine p, given that 7*p**3 - 26 + 18*p - 3*p + 3*p**2 - 8*p**3 + 9*p**2 = 0.
-2, 1, 13
Let s = -37 + 40. Let l(m) be the first derivative of -4/21*m**3 - s + 0*m + 0*m**2 + 2/35*m**5 - 1/14*m**4. Let l(j) = 0. What is j?
-1, 0, 2
Let c(v) be the second derivative of -v**7/42 + 2*v**6/15 - v**5/10 - v**4/3 + v**3/2 + v + 8. Find y such that c(y) = 0.
-1, 0, 1, 3
Let a be ((-144)/(-56))/(4/(-5)). Let d = 7/2 + a. Factor -4/7 - d*c**2 + 6/7*c.
-2*(c - 2)*(c - 1)/7
Let k(o) = 4*o**3 - 268*o**2 + 2600*o - 719. Let x(n) = 7*n**3 - 536*n**2 + 5199*n - 1437. Let h(s) = 7*k(s) - 3*x(s). Factor h(t).
(t - 19)**2*(7*t - 2)
Let g = -148 + 151. Let b be 3/(-117)*g/2*-4. Find d, given that -2/13 - 2/13*d**3 + 2/13*d**2 + b*d = 0.
-1, 1
Let i(q) be the third derivative of q**7/5040 - q**6/1080 + q**5/720 - 17*q**3/6 - 40*q**2. Let x(c) be the first derivative of i(c). Factor x(l).
l*(l - 1)**2/6
Let b(x) = -x**2 - 22*x - 9. Let j be b(-21). Let t be (j/(-16))/(6/(-4)). Solve 0*f + 0 + t*f**2 + 1/2*f**4 + f**3 = 0.
-1, 0
Let t = -7442 - -7443. Factor -1/5*a**2 - 4/5*a + t.
-(a - 1)*(a + 5)/5
Let r = -7357 - -7357. Determine q, given that 1/3*q**2 + 1/3*q + r = 0.
-1, 0
Let p(o) be the third derivative of -o**6/1440 + o**5/120 + 5*o**4/96 + 15*o**3/2 - 24*o**2. Let f(u) be the first derivative of p(u). Factor f(c).
-(c - 5)*(c + 1)/4
Let p(u) = -u + 9. Let x be p(7). Suppose -2*m + 10 = w + 3, -x*m + 3*w + 3 = 0. Solve 5*k + 2*k + 6*k**2 - 4*k + 0*k**2 + 3*k**m = 0.
-1, 0
Let b(d) = d**3 - 13*d**2 + 12*d - 2. Let j be b(12). Let r be (-1 + j/8)*6/(-5). Factor r*u**2 + 1 + 9/2*u - 2*u**3.
-(u - 2)*(u + 1)*(4*u + 1)/2
Let k = 7 + -3. Suppose 4*l - 7 - 5 = 0. Factor -2*c**l - 6*c**2 - k*c - 2 - 2*c + 0*c.
-2*(c + 1)**3
Suppose -28 = -8*q + 12. Factor -v**3 + q*v**2 - 13*v**2 - 2*v**4 + 14*v**2 - 3*v**3.
-2*v**2*(v - 1)*(v + 3)
Find c such that -7/4*c**3 + 0 + 1/2*c**2 - 3/4*c**5 + 0*c + 2*c**4 = 0.
0, 2/3, 1
Let l(h) be the second derivative of h**7/21 - 14*h**6/15 + 67*h**5/10 - 73*h**4/3 + 148*h**3/3 - 56*h**2 + 67*h. Suppose l(s) = 0. What is s?
1, 2, 7
Let z(m) be the first derivative of m**4 + 24*m**3 + 64*m**2 - 619. Factor z(b).
4*b*(b + 2)*(b + 16)
Let o(r) be the first derivative of r**4/42 - r**3/21 + 6*r + 7. Let u(m) be the first derivative of o(m). Factor u(z).
2*z*(z - 1)/7
Let k(p) be the third derivative of -p**7/42 + p**6/12 + p**5/4 - 5*p**4/6 - 10*p**3/3 - p**2 + 2*p. Factor k(v).
-5*(v - 2)**2*(v + 1)**2
Suppose 2*c + 3 = w, 315*w + 15 = 320*w - 2*c. Determine y, given that 8/7*y**2 + 4/7 + 10/7*y + 2/7*y**w = 0.
-2, -1
Let v(z) be the second derivative of z**10/45360 + z**9/5670 + z**8/2016 + z**7/1890 + 11*z**4/6 + 31*z. Let r(l) be the third derivative of v(l). Factor r(a).
2*a**2*(a + 1)**2*(a + 2)/3
Factor 8/11*z**2 + 0*z + 8/11*z**3 + 0 + 2/11*z**4.
2*z**2*(z + 2)**2/11
Let g(y) be the second derivative of 7*y**7/15 + 7*y**6/50 - 6*y**5/25 - 2*y**4/15 - 15*y**2/2 - 2*y. Let f(k) be the first derivative of g(k). Factor f(w).
2*w*(5*w - 2)*(7*w + 2)**2/5
Let u = -63/2 - -445/14. Let l = 83 - 81. What is n in 0 - u*n + 2/7*n**l = 0?
0, 1
Let u(t) be the third derivative of -14*t**2 + 0 - 1/160*t**6 - 1/280*t**7 + 0*t**5 + 0*t**3 + 0*t**4 + 0*t. Factor u(y).
-3*y**3*(y + 1)/4
Let b(i) be the third derivative of i**5/450 - 5*i**4/18 + 125*i**3/9 - 2*i**2 - 5. Suppose b(n) = 0. What is n?
25
Let b = 649/6 - 8425/78. Factor -b*m + 0 - 2/13*m**2.
-2*m*(m + 1)/13
Let h(w) = -16*w + 320. Let n be h(20). Let a(b) be the third derivative of -2/15*b**3 - 1/60*b**4 + 1/150*b**5 - 3*b**2 + n + 0*b. Find x such that a(x) = 0.
-1, 2
Let u(q) be the third derivative of q**5/90 - q**4/18 - 343*q**2. Solve u(d) = 0.
0, 2
Let m(v) be the first derivative of v**3/9 - 3*v**2/2 + 8*v/3 - 372. Factor m(h).
(h - 8)*(h - 1)/3
Let d(i) be the second derivative of i**4/6 + 13*i**3/3 + 30*i**2 - 469*i. Find w, given that d(w) = 0.
-10, -3
Let d(z) be the first derivative of 75*z**4/4 - 6*z**2 + 87. Let d(o) = 0. Calculate o.
-2/5, 0, 2/5
Suppose 0 = -149*g + 38*g - 68*g - 79*g. What is j in -j - 17/2*j**2 + g = 0?
-2/17, 0
Let q be (-6)/10 + 67/(-5) + 2. Let i be -2*2/4*3/q. Determine o so that 0 + 0*o**2 + 1/4*o - i*o**3 = 0.
-1, 0, 1
Let z(o) be the second derivative of -169*o**4/20 - 39*o**3/5 - 27*o**2/10 - 76*o + 1. Let z(i) = 0. What is i?
-3/13
Let x(h) = 4*h**3 + 2*h**2 - 34*h + 32. Let i(u) = 5*u**3 + 2*u**2 - 34*u + 33. Let q(r) = 4*i(r) - 6*x(r). Suppose q(z) = 0. Calculate z.
-5, 1, 3
Let y(x) be the third derivative of x**5/20 - 15*x**4/2 + 450*x**3 - 18*x**2 + 4*x. Find k such that y(k) = 0.
30
Let l(a) be the third derivative of -1/48*a**4 + 0 - 16*a - 1/24*a**3 + 1/840*a**7 + 2*a**2 + 0*a**5 + 1/240*a**6. Factor l(m).
(m - 1)*(m + 1)**3/4
Let z(x) = -x**5 + 2*x**3 + x**2 - 2*x + 1. Let b(n) = 7*n**5 + 13*n**4 - 3*n**3 - 43*n**2 + 2*n + 18. Let v(a) = b(a) + 6*z(a). Find j such that v(j) = 0.
-12, -2, -1, 1
Factor 4 - 8*r + 6*r**3 + 0*r**4 + 13*r**2 - 4*r**4 + 20*r + 5*r**4.
(r + 1)**2*(r + 2)**2
Let q(y) be the third derivative of y**6/1200 + y**5/150 + y**4/240 - y**3/10 - 7*y**2 - 4. Solve q(v) = 0.
-3, -2, 1
Suppose -3*i = y - 5, 23*y = -2*i + 27*y + 36. Factor 0*b**2 + 0*b - 36/5*b**5 + 0 - 44/5*b**i - 8/5*b**3.
-4*b**3*(b + 1)*(9*b + 2)/5
Let m(o) be the first derivative of o**6/660 - o**4/44 + 2*o**3/33 + 14*o**2 - 1. Let l(w) be the second derivative of m(w). Suppose l(q) = 0. Calculate q.
-2, 1
Let m(y) = y**2 - 16*y - 21. Let w(a) = a**2 - 8*a - 11. Let g = 41 - 36. Let j(s) = g*w(s) - 3*m(s). Factor j(d).
2*(d + 2)**2
Suppose 173*g - 172*g = 2. Let h(r) be the second derivative of -1/21*r**4 + 4/21*r**3 + r + 6/7*r**g + 0. Factor h(p).
-4*(p - 3)*(p + 1)/7
Let u(t) = t**3 + 4*t**2 + 11*t + 32. Let i be u(-4). Let z be i/(-10)*5/4. Factor 0 - 3/4*q**4 - 3*q**3 - z*q - 15/4*q**2.
-3*q*(q + 1)**2*(q + 2)/4
Let z(n) = -7*n**2 + 16*n - 37. Let f(u) = 3*u**2 - 8*u + 18. Suppose 7 = -5*q + 17. Let x(w) = q*z(w) + 5*f(w). What is b in x(b) = 0?
4
Let -3/4*l**2 - 1/4*l**3 + 1/4*l**4 + 5/4*l - 1/2 = 0. What is l?
-2, 1
Let u(m) be the third derivative of -m**7/490 - 29*m**6/280 - 53*m**5/140 + 29*m**4/56 + 27*m**3/7 - 342*m**2. What is j in u(j) = 0?
-27, -2, -1, 1
Let w(m) = -m**3 - m - 1. Let o(s) = -4*s**5 - 10*s**2 - s + 2*s**3 - 7*s**4 + 15*s**4 - s**5. Let h(p) = -o(p) + 2*w(p). Factor h(v).
(v - 1)**3*(v + 1)*(5*v + 2)
Let o(k) be the first derivative of 11 + 8/5*k + 7/10*k**2 - 1/15*k**3. Find g, given that o(g) = 0.
-1, 8
Let q be 15/(-9)*(-1 + (-126)/(-180)). Factor 0*y + q*y**2 - 1/2.
(y - 1)*(y + 1)/2
Let i(t) = -2*t**3 + 9*t**2 - 2*t - 4. Let v be i(4). Let y**3 - 214 + 214 - y**v = 0. Calculate y.
0, 1
Let z = 38143 + -38135. Factor -64/3*n + 10/3*n**3 + 2*n**2 + z.
2*(n - 2)*(n + 3)*(5*n - 2)/3
Let a = 8 + -5. Determine m so that -3*m**2 + 5*m**a + 10*m + 2*m**2 + 16*m**2 = 0.
-2, -1, 0
Suppose -119*x = -120*x - 2, -3*r = 5*x + 4. Determine v, given that 51/5*v - 48/5*v**r - 21/5*v**3 + 18/5 = 0.
-3, -2/7, 1
Suppose -4 + 18*m**4 + 15*m**2 - 66*m**3 + 4*m**5 - 25*m**4 - 7*m**5 - 8*m + 73*m**3 = 0. What is m?
-2, -1/3, 1
Let u = -5 + 11. Solve u + 3*c**2 + 8*c - 4*c**2 + 10 + 2*c**2 = 0 for c.
-4
Let x(a) be the third derivative of a**10/37800 - a**9/3780 + a**8/1008 - a**7/630 - a**5/20 - 10*a**2. Let s(l) be the third derivative of x(l). Factor s(z).
4*z*(z - 2)*(z - 1)**2
Let x(t) be the first derivative of 2*t**3/39 + 16*t**2/13 + 30*t/13 + 99. Let x(q) = 0. What is q?
-15, -1
Let k(l) = l**2 + 4*l - 17. Let y(h) = -h**2 - 5*h + 18. Let o(t) = 3*k(t) + 2*y(t). Factor o(f).
(f - 3)*(f + 5)
Let w(c) be the third derivative of -c**8/336 - 2*c**7/105 + c**6/60 + c**5/5 - 3*c**4/8 - 2*c**2 - 89. Factor w(r).
-r*(r - 1)**2*(r + 3)**2
Let i = -63 - -63. Suppose n = 4, i = 4*z + 4*n - 2*n - 20. Factor 2/13*d**4 - 4/13*d**2 + 4/13*d**z - 2/13*d + 2/13 - 2/13*d**5.
-2*(d - 1)**3*(d + 1)**2/13
Let d = -3825072 + 3989550415/1043. Let n = d + -3/149. Suppose -n*u**2 - 2/7*u + 0 = 0. What is u?
-1, 0
Let p(o) be the first derivative of -20/3*o**3 - 15/2*o**2 + 0*o - 25 - 5/4*o**4. Factor p(t).
-5*t*(t + 1)*(t + 3)
Suppose -2*g + 108 =