 + 1/45*k**6 + 4/3*k**2 - 4*k. Solve r(a) = 0.
-2, 1
Let d = 778 + -543. Let y = -1641/7 + d. Factor -y - 2/7*v + 2/7*v**2.
2*(v - 2)*(v + 1)/7
Factor -u**2 + 569 + 4*u**2 + 152 + 235 + 108*u + 16.
3*(u + 18)**2
Let g(p) = 4*p**2 - 20*p + 24. Let h(c) = -c + 1. Let y(d) = g(d) - 24*h(d). Let y(a) = 0. Calculate a.
-1, 0
Determine d, given that 5*d**3 + 2 + 0*d**5 + d**5 - 29*d**3 - 2*d**2 + 3*d + 9*d**3 + 11*d**3 = 0.
-1, 1, 2
Let o(a) = -4*a + 2. Let w(l) = -l**2 - 6*l + 4. Let s(t) = 3*o(t) - 2*w(t). What is c in s(c) = 0?
-1, 1
Let x(s) be the second derivative of -s**6/1800 + s**5/60 - 5*s**4/24 - 5*s**3/6 - 25*s. Let b(y) be the second derivative of x(y). Factor b(k).
-(k - 5)**2/5
Let k(j) = -j**2 + 29*j - 30. Let v(f) = -10*f**2 + 320*f - 330. Let n(b) = -45*k(b) + 4*v(b). What is r in n(r) = 0?
2, 3
Let l(i) = i**2 + 2*i + 1. Let b(m) = 3*m**2 + 11*m + 2. Let n(c) = 5*b(c) - 10*l(c). Factor n(q).
5*q*(q + 7)
Let h(d) be the third derivative of d**5/15 + 29*d**4/30 + 24*d**3/5 - 8*d**2 + 1. Factor h(r).
4*(r + 4)*(5*r + 9)/5
Let j(m) = -m**2 - m - 1. Let h(z) = 2*z**3 + 24*z**2 + 18*z - 26. Let q(y) = -h(y) - 6*j(y). Let q(u) = 0. Calculate u.
-8, -2, 1
Let r(n) be the third derivative of 0*n**5 - 1/630*n**7 + 15*n**2 - 1/540*n**6 + 0*n - 1/3024*n**8 + 0*n**3 + 0 + 0*n**4. Factor r(t).
-t**3*(t + 1)*(t + 2)/9
Suppose 20*j = -3*y + 21*j + 8, 3*y - 2 = -2*j. Suppose -8*i + 3*i - 8 = -y*w, i + 5*w - 20 = 0. Factor i + 0*d - 1/4*d**2.
-d**2/4
Let d be 240/(-7) - 24/(-84). Let x be (-3)/(-5) + d/(-10). Suppose 5*h**3 + x - 4*h + 3*h - 9*h**3 + 5*h - 4*h**2 = 0. What is h?
-1, 1
Let x be (7 + (-105)/14)*0/(-4). Factor 4/9*s**2 + 2/9*s**3 + 0 + x*s.
2*s**2*(s + 2)/9
Factor 0 - 15*a**3 + 5/2*a**5 + 0*a**2 - 5/2*a**4 + 0*a.
5*a**3*(a - 3)*(a + 2)/2
Factor 1/2*b**4 + 1/2*b**5 - 5*b**3 + 0*b + 4*b**2 + 0.
b**2*(b - 2)*(b - 1)*(b + 4)/2
Suppose -5*p + 12*n + 25 = 13*n, -4*p = 4*n - 20. Factor 1/4*b**4 + 1/4*b**3 + 0 - 1/4*b**p + 0*b - 1/4*b**2.
-b**2*(b - 1)**2*(b + 1)/4
Suppose 0 = j - 0 - 2. Let m be -4*(-1)/(-12)*15/(-2). Determine v, given that -m*v**2 + j*v**3 + 0 + 1/2*v = 0.
0, 1/4, 1
Let z(q) = -3*q**3 - 3*q**2 - 16*q - 14. Let d be z(-1). Determine n so that 4/11*n**4 - 2/11*n - 4/11*n**d + 0 + 2/11*n**5 + 0*n**3 = 0.
-1, 0, 1
Let m(p) be the first derivative of 0*p**3 + p**4 + 13 + 0*p - 8/5*p**5 + 2/3*p**6 + 0*p**2. Find h such that m(h) = 0.
0, 1
Let l(y) be the first derivative of y**7/10080 + y**6/540 - 16*y**3/3 + 29. Let s(h) be the third derivative of l(h). Suppose s(u) = 0. Calculate u.
-8, 0
Suppose -4*n + 2*j + 54 = 0, n = -n + 5*j + 31. Suppose 0 = -5*t + n + 27. Factor 36*l**3 - 13*l**3 + 4*l**4 - t*l**4 - 42*l**2 + 20*l + 8.
-(l - 2)**3*(4*l + 1)
Let j(k) be the first derivative of -5*k**3/3 + 225*k**2 + 549. Factor j(m).
-5*m*(m - 90)
Let p(u) = u**3 - 6*u**2 + u + 6. Suppose -8 = -3*t + 10. Let n be p(t). Let -12 + 3*a**4 - 3*a**2 + n = 0. What is a?
-1, 0, 1
Factor -33/8*x**3 + 0*x + 0 - 15/8*x**2 - 21/8*x**4 - 3/8*x**5.
-3*x**2*(x + 1)**2*(x + 5)/8
Suppose 5*u - 23 = -3. Factor 6 + c + u - c**2 - 10.
-c*(c - 1)
Let o(l) be the first derivative of 5/8*l**2 + l + 1/12*l**3 - 12. Factor o(z).
(z + 1)*(z + 4)/4
Let r(k) = -5*k**3 - 156*k**2 - 50*k. Let m(p) = -24*p**3 - 780*p**2 - 253*p. Let z(v) = 2*m(v) - 11*r(v). Let z(h) = 0. What is h?
-22, -2/7, 0
Let w(j) be the third derivative of j**5/60 + 5*j**4/12 - 11*j**3/6 - 22*j**2 + 3*j. Factor w(h).
(h - 1)*(h + 11)
Let j(f) be the third derivative of -f**6/1080 - 19*f**5/540 - 10*f**4/27 + 50*f**3/27 - 503*f**2. Factor j(t).
-(t - 1)*(t + 10)**2/9
Let z(t) = -2*t**3 - 34*t**2 + 422*t - 1280. Let c(s) = -s**3 + s**2 + 2*s. Let i(k) = -3*c(k) + z(k). Let i(w) = 0. Calculate w.
5, 16
Let b(o) be the first derivative of -o**3/6 - o**2/4 + o + 6. Find l, given that b(l) = 0.
-2, 1
Let a(l) be the second derivative of l**7/1260 - l**6/180 + l**5/60 - l**4 - 8*l. Let d(b) be the third derivative of a(b). Determine x, given that d(x) = 0.
1
Let p(y) = -2 + 5*y**2 + 7 + 12*y - 2*y + 20. Let g(f) = -1. Let b(w) = -20*g(w) - p(w). What is k in b(k) = 0?
-1
Let g(a) be the second derivative of -a**5/50 - 3*a**4/5 - 27*a**3/5 - 108*a**2/5 + a - 5. Solve g(b) = 0 for b.
-12, -3
Suppose 5*h + 66 = 76. Let 10*v**h + 0*v**4 - 5*v**5 + 5*v**3 - 5*v**4 - 5*v**4 = 0. What is v?
-2, -1, 0, 1
Suppose 5*c + 47 = 57. Factor -10*s**2 + 0 - 6 + 4*s**3 - s**3 + 15*s - 2*s**c.
3*(s - 2)*(s - 1)**2
Let l(f) be the first derivative of -6*f**3 - 27/2*f**2 - 3/4*f**4 + 26 + 0*f. Factor l(a).
-3*a*(a + 3)**2
Let v(a) be the third derivative of 0*a + 25*a**2 - 1/210*a**5 + 0 + 1/84*a**4 + 2/7*a**3. Let v(d) = 0. What is d?
-2, 3
Let l = 695 - 692. Suppose 26 = 3*y - 4*v, -4*y - 3*v + 4*v = -13. Determine b so that -b**l + 3*b**4 + 112*b**y - 112*b**2 = 0.
0, 1/3
Let m be (-5)/(-4)*1 - 1. Let b(o) be the second derivative of m*o**4 + 5*o + o**3 + 0*o**2 + 0. Solve b(x) = 0.
-2, 0
Let h(q) be the third derivative of -1/1050*q**7 + 1/60*q**6 - 1/12*q**4 + 0*q + 5*q**2 - 2/25*q**5 + 5/6*q**3 + 0. Solve h(k) = 0 for k.
-1, 1, 5
Suppose 13 - 83 = 5*s. Let i = s - -18. Let 2*f**i + 8*f**2 - 8*f**4 - 5*f - 2*f**4 + 4*f**3 + f = 0. Calculate f.
-1, 0, 1/2, 1
Let w(z) be the first derivative of z**2 - 2/9*z**3 + 8 + 0*z + 1/180*z**5 + 1/24*z**4. Let k(v) be the second derivative of w(v). Factor k(d).
(d - 1)*(d + 4)/3
Let w(a) be the third derivative of -1/20*a**5 + 0 + 3*a**2 + 0*a + 1/4*a**4 - 1/2*a**3. Find c, given that w(c) = 0.
1
Let t(d) be the second derivative of -3*d**5/80 - 3*d**4/2 + d**3/8 + 9*d**2 - 27*d - 1. Solve t(m) = 0 for m.
-24, -1, 1
Factor 5547 - 152*x**3 + 261*x**2 + 5805*x - 145*x**3 + 300*x**3.
3*(x + 1)*(x + 43)**2
Let a be -1 + (-8)/48*-18. Let v(o) be the first derivative of a - 1/18*o**3 + 0*o**2 + 1/6*o. Factor v(n).
-(n - 1)*(n + 1)/6
Let o be (-2)/5 + 17/5. Factor -3*g**2 + 4*g**2 + o + 6*g + g**2 + g**2.
3*(g + 1)**2
Let t be (-2107)/1419 + (-20)/(-12). Factor -2/11 - 4/11*w - t*w**2.
-2*(w + 1)**2/11
Let y = 22001/8802 + 2/4401. Let -y - 5/4*n + 5/4*n**2 = 0. Calculate n.
-1, 2
Let h(s) be the third derivative of -s**8/5040 + s**7/210 + 7*s**6/180 - 2*s**5/15 + 17*s**2 + 2*s. Let x(k) be the third derivative of h(k). Factor x(m).
-4*(m - 7)*(m + 1)
Let v = 324 + -325. Let p be (-5 - v)*(-9)/27. Factor -4/9 - p*c**2 + 14/9*c.
-2*(2*c - 1)*(3*c - 2)/9
Let j(o) = -2*o**2 + 21*o - 10. Let b be j(8). Let s be (b/(-24) + 1)*4/(-3). Factor -s*r**4 + 1/3*r**2 + 0 + 0*r**3 + 0*r.
-r**2*(r - 1)*(r + 1)/3
Let h be 1 + 1*(-477)/486. Let k(j) be the second derivative of 0*j**3 + 1/9*j**2 + 8*j - h*j**4 + 0. Suppose k(t) = 0. Calculate t.
-1, 1
Let g(d) be the second derivative of 4/15*d**2 + 1/90*d**4 + 3*d + 0 - 4/45*d**3. Factor g(u).
2*(u - 2)**2/15
Suppose 8*r**4 - 663/2*r**2 + 108*r**3 - 371/2*r - 24 = 0. Calculate r.
-16, -1/4, 3
Suppose -z - 5*x = -29, 5*z + 3*x + 3 - 38 = 0. Find n such that 0*n**3 - 8*n**3 + 6*n**2 + 12*n**z - 10*n**2 = 0.
-1/3, 0, 1
Let g(i) be the third derivative of i**8/30240 + i**7/7560 - i**6/540 + i**5/4 - 2*i**2. Let r(k) be the third derivative of g(k). Factor r(l).
2*(l - 1)*(l + 2)/3
Suppose -f = -18*f + 51. Let s = 1/20 + 89/20. Factor f*i**2 + 0 + s*i.
3*i*(2*i + 3)/2
Let c = 93844/3 - 31280. Determine w, given that c - 2*w + 2/3*w**2 = 0.
1, 2
Let i(l) be the second derivative of -2/9*l**3 + 1/10*l**5 + 1/45*l**6 - 2*l - 1/18*l**4 - 1/63*l**7 + 4 + 0*l**2. Solve i(c) = 0.
-1, 0, 1, 2
Let b be 14/(-44)*1812/(-1057). Factor -8/11*n + 14/11*n**2 - b.
2*(n - 1)*(7*n + 3)/11
Factor -20/3*t**2 + 32/3 - 4*t.
-4*(t - 1)*(5*t + 8)/3
Suppose 3*d - 6 = -3*s, 3*d - 5*s - 13 + 23 = 0. Suppose 2/3*t**3 + d + 2/9*t**5 + 2/9*t**2 + 2/3*t**4 + 0*t = 0. What is t?
-1, 0
Factor 2/9*y**4 - 8/3*y + 92/9*y**2 - 16 - 26/9*y**3.
2*(y - 6)**2*(y - 2)*(y + 1)/9
Suppose -3*z = -3 - 6. Factor -3*t - 18*t**3 - 3*t**4 - 11*t**3 + z*t**2 + 32*t**3.
-3*t*(t - 1)**2*(t + 1)
Let i = -523/7 - -75. Let b be (1/(-2))/(91/(-26)). Solve b*h**3 + 0 - 1/7*h**5 - i*h**4 + 0*h + 2/7*h**2 = 0.
-2, -1, 0, 1
Let d(k) be the first derivative of 0*k**3 + 1/19*k**2 + 41 + 0*k - 1/38*k**4. Let d(i) = 0. What is i?
-1, 0, 1
Let b(w) be the first derivative of -20*w**3/3 - 415*w**2/2 + 105*w + 760. Solv