be the first derivative of -d**4/38 - 8*d**3/57 + 60*d**2/19 - 64. Factor i(l).
-2*l*(l - 6)*(l + 10)/19
Suppose -126*t = -201*t + 300. Factor 4/7*y**3 - 12/7 + t*y - 20/7*y**2.
4*(y - 3)*(y - 1)**2/7
Let b(t) be the third derivative of 1/80*t**6 + 0*t + 8*t**2 + 0*t**5 + 0*t**4 + 0*t**3 - 1/672*t**8 + 0 + 1/210*t**7. Determine i so that b(i) = 0.
-1, 0, 3
Let r(u) be the third derivative of -u**7/1575 - 7*u**6/450 + u**5/30 - 566*u**2. Solve r(t) = 0 for t.
-15, 0, 1
Let z be 3/2*32/12. Factor 3*w**3 + 3*w**2 - 7*w**3 + 2*w**z - w**2 + 0*w**2.
2*w**2*(w - 1)**2
Let 9439*p**2 - 28939*p**2 - 528946 - 625*p**3 - 31896*p - 12680*p - 158224*p - 174094 = 0. Calculate p.
-52/5
Let y(g) be the third derivative of g**5/15 - 29*g**4/6 + 36*g**3 - 57*g**2 - 2*g. Determine x, given that y(x) = 0.
2, 27
Let c be -25 + 35*(-740)/(-980). Factor 0 - 2/7*x**4 - 8/7*x**3 - 4/7*x - c*x**2.
-2*x*(x + 1)**2*(x + 2)/7
Let z = -6 - 4. Let y = z - -15. Suppose 3*k**3 - 10*k**2 + 5*k**3 - 24*k + 36*k**4 + 19*k**y - 22*k**2 - 3*k**5 - 4 = 0. What is k?
-1, -1/4, 1
Let p(g) be the second derivative of -g**5/230 + 3*g**4/46 + 34*g**3/69 + 24*g**2/23 - 191*g. Let p(b) = 0. Calculate b.
-2, -1, 12
Let -30*o - 75 - 5/3*o**2 = 0. Calculate o.
-15, -3
Suppose 0 = -3*j - 5*j + 24. Let f(m) = -m**2 - 1. Let y(c) = -c**2 + 20*c - 13. Let x(a) = j*f(a) + y(a). Suppose x(g) = 0. What is g?
1, 4
Let n = -107 + 109. Let q(a) be the second derivative of 1/60*a**4 - 4*a + 0 + 1/10*a**3 + 0*a**n. Factor q(b).
b*(b + 3)/5
Let p(b) be the second derivative of 2*b**6/15 - 3*b**5/5 + b**4 - 2*b**3/3 - 92*b. Let p(q) = 0. What is q?
0, 1
Suppose -3*b + 11 - 41 = 0. Let j = b + 15. Solve s**j + 5*s**4 - 4 - s**2 - 30*s**3 + 8*s - 2*s**5 + 0*s**5 + 23*s**3 = 0.
-1, 1, 2
Let m(o) = -o**2. Let j(w) = -6*w**2 + 64*w. Let y(z) = -j(z) + 4*m(z). Find i such that y(i) = 0.
0, 32
Let w(h) be the third derivative of -h**6/90 + h**5/30 + 2*h**3/3 + 3*h**2. Let t(l) be the first derivative of w(l). Factor t(n).
-4*n*(n - 1)
Factor 0 - 1/3*m**4 + 8*m - 8*m**3 + 1/3*m**2.
-m*(m - 1)*(m + 1)*(m + 24)/3
Factor -39*m**3 - 6*m**4 - 111*m**2 - 60*m**2 - 285*m + 3*m**4 - 150 + 0*m**4.
-3*(m + 1)*(m + 2)*(m + 5)**2
Let z(m) be the first derivative of -7 - 4*m**2 + 0*m - 4/3*m**3. Suppose z(i) = 0. Calculate i.
-2, 0
Let k(v) be the second derivative of 2*v**7/21 - 28*v**6/45 - 23*v**5/45 + 4*v**4/3 + 40*v**3/27 + 1005*v. Find z, given that k(z) = 0.
-2/3, 0, 1, 5
Factor -83/3*r + 40/3*r**2 + 1/3*r**3 + 14.
(r - 1)**2*(r + 42)/3
Let f(d) = 2*d**2 - 9*d + 4. Suppose 5 = 5*l - 0. Suppose -2 - l = j. Let p(r) = 6*r**2 - 26*r + 12. Let k(o) = j*p(o) + 8*f(o). Let k(w) = 0. What is w?
1, 2
Suppose -2*s - n + 12 = n, -s = 2*n - 1. Suppose -8*j + s*j = 9. Find v, given that 3 + 0*v - 8*v**2 - 13*v - 9 - j*v = 0.
-3/2, -1/2
Suppose 12*p**3 + 0*p**4 - 12*p**2 + 4*p**4 - 241*p + 197*p - 24 = 0. What is p?
-3, -1, 2
What is m in -2/5*m**3 + 0*m**2 + 18/5*m + 0 = 0?
-3, 0, 3
Let w be -5 + (5/3)/(12/36). Let p(j) be the third derivative of 0*j + 0*j**4 + 7*j**2 + w*j**3 + 0 + 0*j**5 + 1/60*j**6. Factor p(t).
2*t**3
Solve 165*c**2 + 36*c + 6*c**4 + 171/2*c**3 + 0 = 0.
-12, -2, -1/4, 0
Let l(p) = -p**2 - 31*p - 20. Let d be l(-30). Let u be -2 + 1240/198 + d/55. Find g such that 2*g**3 - 4/9 + 26/9*g - u*g**2 = 0.
2/9, 1
Let l = 2713/7 - 775/2. Let w(t) be the third derivative of 0*t + 4*t**2 + l*t**3 - 1/28*t**4 + 1/140*t**5 + 0. Factor w(c).
3*(c - 1)**2/7
Let g(z) be the second derivative of -z**4/12 - 2*z**3/3 + 16*z**2 + 197*z. Factor g(k).
-(k - 4)*(k + 8)
Let o(f) be the second derivative of 1 + 121/8*f**2 + 1/48*f**4 - 11/12*f**3 - 16*f. Factor o(d).
(d - 11)**2/4
Solve 3/2*x**4 - 151959/2*x + 0 - 333/2*x**3 + 12321/2*x**2 = 0.
0, 37
Let y be 28/(-22) + 26 + -22. Let m = y + 48/55. What is j in 2/5*j**2 + m - 12/5*j = 0?
3
Let t(g) be the second derivative of -g**4/54 - g**3/27 + 2*g**2/9 - 39*g. Factor t(a).
-2*(a - 1)*(a + 2)/9
Let d(o) = -10*o**4 - 64*o**3 + 204*o**2 - 77*o + 5. Let w(y) = -y**4 + 2*y**3 + y - 1. Let q(b) = -d(b) - 5*w(b). Factor q(h).
3*h*(h - 2)*(h + 6)*(5*h - 2)
Let n(y) be the third derivative of -y**8/1848 + y**7/105 - 7*y**6/132 + 5*y**5/66 - y**2 - 12. Let n(f) = 0. Calculate f.
0, 1, 5
Let p(c) = -2*c**2 + 16*c - 30. Let z(t) = 4*t**2 - 32*t + 59. Let f be (-3)/(27/(-30))*9/(-6). Let v(o) = f*p(o) - 2*z(o). Factor v(u).
2*(u - 4)**2
Solve 4 + 77*d**2 + 32*d - 13*d**3 + 17*d**3 + 45*d**3 = 0.
-1, -2/7
Let n(z) be the third derivative of z**7/735 + z**6/210 - z**5/70 + z**2. Factor n(o).
2*o**2*(o - 1)*(o + 3)/7
Factor 2/9*z**2 + 21632/9 - 416/9*z.
2*(z - 104)**2/9
Let d(y) be the first derivative of -2*y**3/5 + 11*y**2/5 + 8*y/5 + 2. Let d(u) = 0. Calculate u.
-1/3, 4
Suppose -878 + 869 = -3*f. Determine b, given that -2/5*b**f + 2/5*b - 1/5*b**2 + 0 + 1/5*b**4 = 0.
-1, 0, 1, 2
Let x = -31 - -31. Suppose -2*v = -x*v. Suppose -n**4 + n**3 + 0*n**3 + 2*n**4 + v*n**4 = 0. What is n?
-1, 0
Let z be 2*1/(2/4). Suppose 5*c = -2*n + 61, -3*n + 3 = c - z. Solve -5*h**2 + 3*h**3 + 14*h**4 + 5*h - 3*h - c*h**4 - h**5 = 0 for h.
-2, 0, 1
Let l = 135 - 46. Factor 34*f**2 - l*f**2 - 45*f + 7 + 3.
-5*(f + 1)*(11*f - 2)
Factor -2/5*r**2 + 0 - 178/5*r.
-2*r*(r + 89)/5
Let g(q) be the second derivative of -5/3*q**4 + 19/25*q**5 + 0 - 14/75*q**6 + 12*q + 32/15*q**3 + 2/105*q**7 - 8/5*q**2. Let g(k) = 0. Calculate k.
1, 2
Factor -3/4*r**3 + 3/8*r**4 + 9/8 - 3/2*r**2 + 3/4*r.
3*(r - 3)*(r - 1)*(r + 1)**2/8
Determine w so that 292*w**3 - 90720*w + 4*w**4 + 12089*w**2 + 211392 + 7586*w**2 - 6787*w**2 + 188*w**3 - 68508 = 0.
-63, 3
Factor 54 - 16*t + 8*t - 175*t - 14*t**2 - 7*t**2.
-3*(t + 9)*(7*t - 2)
Let c(p) be the first derivative of -3*p**8/560 - p**7/280 + p**6/60 - 4*p**3 + 4. Let k(z) be the third derivative of c(z). Find d, given that k(d) = 0.
-1, 0, 2/3
Let h(j) be the first derivative of 14 + 3*j**2 + 3*j**3 - 3/5*j**5 + 0*j + 0*j**4. Determine n so that h(n) = 0.
-1, 0, 2
Let n(s) be the second derivative of s**6/60 + 13*s**5/40 + 2*s**4 + 17*s**3/3 + 8*s**2 + 2*s - 70. Solve n(w) = 0 for w.
-8, -2, -1
Suppose 9*z = 19 - 28. Let k be z/12 - 1813/(-444). Determine y, given that 9/4 - 15/4*y**3 + 15/4*y + 3/2*y**k - 15/4*y**2 = 0.
-1, -1/2, 1, 3
Let o(d) be the first derivative of 2*d**3/9 - 2*d**2 - 14*d/3 - 186. Find g, given that o(g) = 0.
-1, 7
Let o(c) be the second derivative of -1/78*c**4 - 2/39*c**3 - 1/13*c**2 + 2*c + 0. Let o(u) = 0. What is u?
-1
Let j be 6/(-4 + 6) - -1. Find x, given that -10*x**4 - 180 - 115*x**j + 850*x**3 + 1020*x - 1861*x**2 + 116*x**2 = 0.
2/5, 3
Let h(a) = 4*a**3 - 9*a**2 + 6*a - 1. Let z(j) be the first derivative of -5*j**4/4 + 10*j**3/3 - 5*j**2/2 + 24. Let l(y) = -4*h(y) - 3*z(y). Factor l(x).
-(x - 4)*(x - 1)**2
Let b = -55702/5 - -11141. Determine i, given that b*i**2 + 3/5 + 6/5*i = 0.
-1
Let g(n) = -9*n**2 - 107*n + 15. Let v(b) = -4*b**2 - 54*b + 6. Let d(q) = -2*g(q) + 5*v(q). Factor d(z).
-2*z*(z + 28)
Let x(z) = -5*z - 5. Let w be x(-5). Suppose -5*p - 2*f - 15 = f, 2*p + w = -4*f. Solve -u**5 + p*u**5 + 8*u**3 + 4*u**2 - u**5 - 8*u**2 - 6*u + 4 = 0 for u.
-2, -1, 1
Let j(h) be the first derivative of 4/3*h**2 - 2*h - 2/9*h**3 - 1. Factor j(w).
-2*(w - 3)*(w - 1)/3
Let j(q) be the third derivative of 0*q - 1/80*q**5 + 1/480*q**6 + 0 + 0*q**3 + 1/48*q**4 - 4*q**2. What is z in j(z) = 0?
0, 1, 2
Suppose 0 = -5*k - 4*x + 67, -6*k - 5*x + 35 = -3*k. Let a = -9 + k. Find l such that -a*l + 0*l**2 + 6*l**3 + 4*l**2 - 7*l**2 + 9*l**4 - 1 - 5*l**2 = 0.
-1, -1/3, 1
Let x(q) be the first derivative of -2/9*q**3 + 6 - 1/2*q**2 - 1/3*q + 1/5*q**5 + 1/6*q**4 + 1/18*q**6. What is s in x(s) = 0?
-1, 1
Let 187/2*s**2 - 27/2*s**5 - 567/2*s**4 - 20 - 531/2*s**3 + 69*s = 0. Calculate s.
-20, -1, -2/3, 1/3
Let i(s) be the third derivative of s**6/720 - 4*s**5/15 + 64*s**4/3 - 8192*s**3/9 + 239*s**2. Determine u so that i(u) = 0.
32
Let l be (22202/2261 - 2) + (-4)/38. Factor -54/7*x + l + 18/7*x**2 - 2/7*x**3.
-2*(x - 3)**3/7
Let v(o) be the first derivative of o**5/120 - 13*o**4/48 + 19*o**2/2 - 32. Let h(j) be the second derivative of v(j). Find f such that h(f) = 0.
0, 13
Let x(r) be the first derivative of 2*r**6/9 + 8*r**5/15 - r**4 - 32*r**3/9 - 8*r**2/3 + 95. Solv