 - 3 - 8*g - 4*g**t.
-4*(g + 1)**2
Find r, given that 20 + 18*r + 0 - 22*r + r**2 + 25*r = 0.
-20, -1
Let v = 337 + -335. Let 6/5 - 9/5*m**v - 3/5*m = 0. Calculate m.
-1, 2/3
Let j(p) be the second derivative of 1/2*p**2 - 1/12*p**4 - 7*p + 0*p**3 + 0. Factor j(t).
-(t - 1)*(t + 1)
Let y(f) be the first derivative of 0*f - 64/21*f**3 + 8 - 5/7*f**4 - 8/7*f**2 + 20/7*f**5. Factor y(v).
4*v*(v - 1)*(5*v + 2)**2/7
Let o = 53 - 50. Factor 2*g**3 - 12*g + 32*g**2 - 7*g**3 - 9*g**o + 2*g**3 - 8.
-4*(g - 2)*(g - 1)*(3*g + 1)
Suppose -2*q + 18*q = 144. Suppose 7*f = q*f - 4. Let -1/5*a**f + 1/5 + 1/5*a - 1/5*a**3 = 0. Calculate a.
-1, 1
Let i(x) be the second derivative of -x**5/80 + 25*x**4/48 + 121*x. Solve i(d) = 0 for d.
0, 25
Let o be (7 - -4)/(-11) - -7. Let h(v) be the first derivative of -o + 1/4*v**4 + 0*v**3 + 2*v - 3/2*v**2. Factor h(x).
(x - 1)**2*(x + 2)
Let d(h) be the first derivative of -h**5/30 + 5*h**4/6 - 25*h**3/3 + 15*h**2/2 + 12. Let u(v) be the second derivative of d(v). Factor u(j).
-2*(j - 5)**2
Let k(a) be the first derivative of -a**3/2 + 81*a**2/4 + 87*a + 104. Solve k(p) = 0 for p.
-2, 29
Let m(h) be the second derivative of h**5/50 - 14*h**4/15 + 11*h**3 + 90*h**2 + 210*h. Factor m(t).
2*(t - 15)**2*(t + 2)/5
Let k(d) = -4*d**3 + 4*d**2 - 2*d + 5. Let x(a) = 0 + 3*a**3 - 2*a**2 - 4 - 2*a**2 + 0*a**2 + a. Let o(l) = -4*k(l) - 5*x(l). Find n such that o(n) = 0.
-3, -1, 0
Let i(d) be the second derivative of d**7/42 + d**6/10 - 13*d**5/20 - 11*d**4/12 + 4*d**3 + 10*d**2 - 4*d - 51. Solve i(x) = 0.
-5, -1, 2
Let z be (-200)/160*(-4)/1 - (-371)/(-77). Suppose -2/11*a**3 + 8/11 + 8/11*a - z*a**2 = 0. What is a?
-2, -1, 2
Let n = -51 + 55. Solve -6*u**2 - 4*u + 2*u**2 - 4*u**4 + 5*u**n + u**3 = 0.
-2, -1, 0, 2
Let y = 5326 - 31955/6. Solve y*u**3 + 4*u**2 + 32*u + 256/3 = 0.
-8
Let l(o) be the second derivative of o**6/345 - o**5/230 - o**4/69 + 7*o - 2. Solve l(i) = 0.
-1, 0, 2
Let d(m) be the third derivative of m**8/120960 + m**7/15120 + m**5/15 + 6*m**2. Let f(j) be the third derivative of d(j). Factor f(x).
x*(x + 2)/6
Let p(x) be the first derivative of -6*x - 2*x**2 + x**4 + 13 - 2*x - 4*x**2. Suppose p(o) = 0. Calculate o.
-1, 2
Solve -7*c**5 + 2*c**5 + 74*c - 7*c**2 + 5*c**3 - 19*c**4 - c**4 + 87*c**2 - 14*c = 0 for c.
-3, -2, -1, 0, 2
Let o(i) be the third derivative of 0 - 20*i**2 - 1/165*i**5 - 1/220*i**6 + 0*i**7 + 0*i**3 + 0*i**4 + 0*i + 1/1848*i**8. Factor o(q).
2*q**2*(q - 2)*(q + 1)**2/11
Let u be (-146)/((-7)/(-4) + (-4)/(-16)). Let o = u - -76. Find p, given that 0*p**2 + 4/3*p**o - 4/3*p + 0 = 0.
-1, 0, 1
Let b(x) be the first derivative of x**6/3 + 6*x**5/5 + x**4/2 - 2*x**3 - 2*x**2 - 87. Determine a so that b(a) = 0.
-2, -1, 0, 1
Let r(v) be the second derivative of -48/5*v**5 + 18/7*v**7 + 4*v**2 - 22/3*v**4 + 18*v + 10/3*v**3 + 24/5*v**6 + 0. Determine s so that r(s) = 0.
-2, -1/3, 1/3, 1
Suppose -5*k + 49 - 29 = 0. Factor k*l**2 + l**2 - 16 - 5*l + 6.
5*(l - 2)*(l + 1)
Determine x, given that -2/11*x**3 - 12/11*x**2 - 12/11 - 2*x = 0.
-3, -2, -1
Let c(z) be the third derivative of -z**5/30 - 19*z**4/6 - 361*z**3/3 - 36*z**2 - 2*z. Determine m, given that c(m) = 0.
-19
Let t(q) be the third derivative of q**10/120960 + q**9/20160 - q**8/6720 + 35*q**4/24 - 35*q**2. Let d(i) be the second derivative of t(i). Factor d(n).
n**3*(n - 1)*(n + 4)/4
Let f(s) = 1 + 3*s**3 + 3*s - 2*s**2 - 2*s - 5*s**3 + 6*s**3. Let u(z) = -z**4 - z**3 - z**2 - 1. Let l(d) = 5*f(d) + 5*u(d). Factor l(r).
-5*r*(r - 1)**3
Let u(r) be the first derivative of -r**7/420 + r**6/60 + r**5/60 - r**4/4 - 4*r**3/3 + 12. Let i(w) be the third derivative of u(w). Factor i(k).
-2*(k - 3)*(k - 1)*(k + 1)
Suppose 9 - 36 = -9*l. Let t(k) be the first derivative of 1/7*k**4 + 0*k**l + 4/35*k**5 + 0*k**2 - 7 + 0*k. Factor t(c).
4*c**3*(c + 1)/7
Solve -26/5*n - 12/5 - 2*n**2 = 0 for n.
-2, -3/5
Let x(u) be the third derivative of u**7/560 + u**6/160 - 11*u**5/160 - 3*u**4/16 - 22*u**2 + u. What is d in x(d) = 0?
-4, -1, 0, 3
Let g(p) = p**3 - p**2 - 1. Let d(n) = n**4 + 8*n**3 - 2*n**2 + n - 5. Suppose -a = -2*w + a, 3*a - 15 = 0. Let f(h) = w*g(h) - d(h). Factor f(o).
-o*(o + 1)**3
Let s(z) = -705*z + 6348. Let c be s(9). Factor 2/3*w**c + 0*w**2 + 4/3 - 2*w.
2*(w - 1)**2*(w + 2)/3
Let y(h) be the first derivative of -h**6/1800 + h**5/75 - h**4/10 + 6*h**3 - 26. Let c(t) be the third derivative of y(t). Determine v, given that c(v) = 0.
2, 6
Factor 2/13*a**3 + 4/13*a + 6/13*a**2 + 0.
2*a*(a + 1)*(a + 2)/13
Let p(y) be the third derivative of y**9/756 - y**8/105 + y**7/42 - y**6/45 + y**3 + 2*y**2. Let v(r) be the first derivative of p(r). Solve v(w) = 0.
0, 1, 2
Let c(s) be the second derivative of -216*s**5/5 + 180*s**4 - 300*s**3 + 250*s**2 + 23*s. What is h in c(h) = 0?
5/6
Let y = -10025/18 + 557. Let l(i) be the second derivative of -4/3*i**2 + 0 - y*i**4 - 9*i + 4/9*i**3. Suppose l(p) = 0. Calculate p.
2
Let k(v) be the third derivative of v**5/120 + 25*v**4/16 + 37*v**3/6 + 29*v**2 + 13*v. Factor k(l).
(l + 1)*(l + 74)/2
Let z be 5 + (-3884)/960 + 1/(-3). Let k = -1/48 + z. Factor -3/5*s**2 + 3/5 - 3/5*s**3 + k*s.
-3*(s - 1)*(s + 1)**2/5
Let n(g) be the second derivative of 2*g**7/105 - 18*g**6/25 + 2*g**5 + 2*g**4/15 - 34*g**3/5 + 10*g**2 - 15*g + 5. Let n(v) = 0. What is v?
-1, 1, 25
Let m be (-10)/(-6)*(16 - 13). Suppose -51*r - 5*r**4 + 5*r**2 + 23*r + r**3 + 2*r**3 + 24*r + r**m = 0. What is r?
-1, 0, 1, 4
Let q = -5/6 + 1. Let x(c) be the first derivative of q*c**3 - c - 1 + 1/4*c**2. Determine z so that x(z) = 0.
-2, 1
Let d = -239/72 - -27/8. Let k = 13/9 + d. Solve -9/4 - 1/4*q**2 + k*q = 0 for q.
3
Let h(r) be the first derivative of 2*r**3/57 - 58. Factor h(f).
2*f**2/19
Let p(w) be the third derivative of w**10/7560 + w**9/1260 + w**8/840 - 5*w**4/12 + 8*w**2. Let u(n) be the second derivative of p(n). Let u(g) = 0. What is g?
-2, -1, 0
Determine x, given that 98/17*x + 0 + 28/17*x**2 + 2/17*x**3 = 0.
-7, 0
Let i(r) be the third derivative of -r**5/150 - 3*r**4/20 + 2*r**3/3 + 2*r**2 - 7. Factor i(w).
-2*(w - 1)*(w + 10)/5
Find d, given that -8/3*d**5 + 0 + 58/3*d**2 + 14*d**3 - 2/3*d**4 + 22/3*d = 0.
-1, 0, 11/4
Let b = -18 + 4. Let h = b + 29/2. Factor -h*z**2 + 1/2*z + 0.
-z*(z - 1)/2
Let y(j) = -j**2 - 2*j + 35. Let v be y(5). Let q(k) be the second derivative of 0*k**2 + v + 7*k + 1/9*k**3 + 1/18*k**4. Determine i so that q(i) = 0.
-1, 0
Let x(v) = v**3 + 28*v**2 + 61*v + 236. Let k be x(-26). Factor 28/3*q - 98/3 - 2/3*q**k.
-2*(q - 7)**2/3
Let q(r) be the third derivative of r**7/2940 - r**6/252 + r**5/60 - r**4/28 + 31*r**3/6 - 24*r**2 - r. Let s(o) be the first derivative of q(o). Factor s(d).
2*(d - 3)*(d - 1)**2/7
Let x(i) be the third derivative of -i**5/60 - 7*i**4/12 - 165*i**2. Factor x(c).
-c*(c + 14)
Let u = 13/16 - 87/304. Suppose -4/19*j - 18/19*j**4 + 0 + 18/19*j**2 + 14/19*j**5 - u*j**3 = 0. Calculate j.
-1, 0, 2/7, 1
Let p(d) = 34*d**4 + 77*d**3 + 48*d**2 - 55*d - 40. Let k(n) = -n**4 + n**3 - 3*n**2 + n + 1. Let r(j) = 4*k(j) + p(j). Determine u so that r(u) = 0.
-3/2, -1, 4/5
Let y(b) = 2*b**3 - b**2 - 2*b + 2. Let l be y(2). Let q = -10 + l. Factor 9/2*c**2 + 3/2*c**3 + q + 3*c.
3*c*(c + 1)*(c + 2)/2
Let p(w) be the second derivative of 0 + 5/3*w**3 + 5/12*w**4 - 14*w - 15/2*w**2. Solve p(y) = 0.
-3, 1
Suppose 5*n = 3*c - 205, n = -3*n + 2*c - 164. Let w = n - -46. Suppose 0*h + 0 + h**3 + 1/2*h**w - 3/2*h**4 + 0*h**2 = 0. Calculate h.
0, 1, 2
Let w be ((-2248)/1967)/((-108)/21). Factor 4/3*t**2 + w*t**3 + 0 + 2*t.
2*t*(t + 3)**2/9
Let d = 510 - 510. Let b(z) be the second derivative of -1/16*z**4 - 4*z + d + 0*z**3 + 3/8*z**2. Factor b(a).
-3*(a - 1)*(a + 1)/4
Let r(a) be the second derivative of -2/3*a**2 + 1/3*a**3 - 1/10*a**5 + 1/18*a**4 + 1/45*a**6 - 54*a + 0. Solve r(l) = 0 for l.
-1, 1, 2
Let b = -685/791 + 114/113. Factor b*z**2 - 3/7 + 2/7*z.
(z - 1)*(z + 3)/7
Let i = -3526 + 3526. Factor -2/5*n**2 + i - 12/5*n.
-2*n*(n + 6)/5
Let y = 23 + -21. Suppose 0 = s + y, 26 = 3*o - 4*s. Factor o*a**2 - 20 + 20 + 3*a**3.
3*a**2*(a + 2)
Let o = 1483 + -1483. Factor 0 + o*r + 3/5*r**2 + 6/5*r**3 + 3/5*r**4.
3*r**2*(r + 1)**2/5
Let j(y) be the third derivative of y**7/84 - y**6/6 + 7*y**5/12 + 5*y**4/6