 j so that v(j) = 0.
-1, 1
Let o(j) be the second derivative of -5/72*j**4 + 0 - 9*j - 1/120*j**5 - 2/9*j**3 - 1/3*j**2. Factor o(k).
-(k + 1)*(k + 2)**2/6
Solve 235*p**3 - 1180*p - 9132*p**2 + 25*p**4 - 45 + 9272*p**2 - 435 = 0 for p.
-8, -3, -2/5, 2
Suppose x - 22 = -4*p, -5*x - p = 4*p - 35. Let o(s) be the second derivative of -1/20*s**5 + 0*s**x + 0*s**3 + 0 + 1/6*s**4 + 6*s. Factor o(f).
-f**2*(f - 2)
Let a(b) be the third derivative of -b**6/10 + 2*b**5/3 - b**4/6 - 4*b**3 - 226*b**2. Let a(x) = 0. Calculate x.
-2/3, 1, 3
Let p(l) be the third derivative of -l**9/1080 - l**8/7560 + l**7/2835 - 13*l**4/24 - l**2. Let a(j) be the second derivative of p(j). Factor a(m).
-2*m**2*(7*m + 2)*(9*m - 2)/9
Let r be (-2)/(-3)*2/((-4)/(-21)). Suppose -r*y + 8 = -6. Factor 2/13*k + 2/13*k**y - 4/13.
2*(k - 1)*(k + 2)/13
Suppose g + 11 = 9, -d - 5*g = 8. Factor 6/5*b + 1 + 1/5*b**d.
(b + 1)*(b + 5)/5
Let x(k) be the third derivative of k**5/40 + 33*k**4/16 + 3*k**2 + 43*k. Solve x(f) = 0 for f.
-33, 0
Suppose -24 = -5*k + 2*a - 0, -2*k - 2*a = -18. Let q(b) be the second derivative of 0 + 2/3*b**3 - b**4 + 3/5*b**5 + 0*b**2 - 2/15*b**k + b. Solve q(c) = 0.
0, 1
Let h(v) = -4*v**2 + 32*v + 36. Let g(q) be the third derivative of q**4/24 + q**3/6 - 26*q**2. Let p(m) = -24*g(m) + h(m). Solve p(n) = 0 for n.
-1, 3
Let p(z) = -16*z**2 + 46*z - 13. Let k(i) = i**2. Let g(v) = -6*k(v) - p(v). Let u(c) = -9*c**2 + 45*c - 12. Let o(n) = 6*g(n) + 5*u(n). Solve o(q) = 0.
2/5, 3
Let q = -23 - -38. Factor -40*n - q - 17 - 4*n**3 - 8*n - 24*n**2.
-4*(n + 2)**3
Let t(r) be the second derivative of -r**6/30 - 13*r**5/20 - 7*r**4/2 - 641*r. Factor t(o).
-o**2*(o + 6)*(o + 7)
Let r(y) be the third derivative of -y**5/330 + 19*y**4/132 + 14*y**3/11 - 3*y**2 - 52*y. Let r(b) = 0. Calculate b.
-2, 21
Let c(h) be the first derivative of 2*h + 7/8*h**4 - 19/6*h**3 - 9 + 2*h**2. Factor c(i).
(i - 2)*(i - 1)*(7*i + 2)/2
Factor 83*l - 1 + 2*l**3 - 11*l**2 - 9*l**2 - 27 - 37*l.
2*(l - 7)*(l - 2)*(l - 1)
Let f(i) be the first derivative of -i**4/5 + 16*i**3/15 - 21*i**2/10 + 9*i/5 + 115. What is s in f(s) = 0?
1, 3/2
Let l(b) = -2*b**2 - 74*b. Let s(g) = 4*g. Let p(t) = -2*l(t) - 36*s(t). Factor p(u).
4*u*(u + 1)
Let z be 27/108 + 11/660. Let r = 24/5 - 14/3. Factor 2/15*a**3 + 0 - z*a**2 + r*a.
2*a*(a - 1)**2/15
Suppose 0 = -22*z + 27*z - 20. Factor -3*n - 261*n**2 + 5 - z + 262*n**2 + n.
(n - 1)**2
Let f(p) be the third derivative of -p**7/210 - 7*p**6/120 - 3*p**5/10 - 5*p**4/6 - 4*p**3/3 - 4*p**2 + 16. Find h, given that f(h) = 0.
-2, -1
Let d be -2 - (1 - (7 + -2)). Find f such that -19 - 1 - 4*f**2 + f**2 - 20*f - 2*f**d = 0.
-2
Let p(d) be the third derivative of 6*d**2 - 1/240*d**5 + 0*d - 1/24*d**3 + 0 - 1/48*d**4. Determine x so that p(x) = 0.
-1
Suppose 2*b = 4*s - 10, b - 1 = 5*s - 21. Let f(l) be the first derivative of 0*l**b + l**4 - 5 + 0*l**2 + 0*l + 0*l**3 - 2/3*l**6. Factor f(g).
-4*g**3*(g - 1)*(g + 1)
Let k be (100/80)/(50/48). Factor 0 + 3/5*o**5 - k*o**4 - 9/5*o**3 + 0*o + 0*o**2.
3*o**3*(o - 3)*(o + 1)/5
Let h(k) be the first derivative of 4*k**3/15 - 16*k**2 + 320*k + 66. Determine l, given that h(l) = 0.
20
Factor -1/4*n**2 + 25/2 + 23/4*n.
-(n - 25)*(n + 2)/4
Suppose -4*i + 21*i = 8*i. Factor 2/5*z**2 + i*z - 8/5.
2*(z - 2)*(z + 2)/5
Suppose x - 16 = -4*n, -2*x - n - 114 = -118. Let s(z) be the first derivative of -1/2*z**4 + x*z + 0*z**3 - 1 + 4*z**2. Find i, given that s(i) = 0.
-2, 0, 2
Let -1 - 15/4*v - 5*v**2 - 5/2*v**3 + 0*v**4 + 1/4*v**5 = 0. What is v?
-1, 4
Factor -1/4*t**4 + 1/4*t**5 - 11/4*t**2 - 9/4*t**3 - t + 0.
t*(t - 4)*(t + 1)**3/4
Suppose s - 2 = -10. Let i be (-16)/(-9)*(-48)/s. Let -i*w**4 + 10*w**2 + 2/3 - 16/3*w**3 + 16/3*w = 0. Calculate w.
-1, -1/4, 1
Suppose 6*m - 169 = 3*m + x, 55 = m + x. Let p be ((-14)/m)/((-6)/8). Determine f, given that -p*f**2 + 0 + 0*f = 0.
0
Suppose 133 - 917 = -4*t. Let r = -193 + t. Factor 12*d**4 - 128/3*d - 32/3*d**2 + 32*d**r + 64/3.
4*(d + 2)**2*(3*d - 2)**2/3
Let b(a) be the first derivative of 3/2*a**2 - 9/4*a - 1/4*a**3 - 17. Factor b(o).
-3*(o - 3)*(o - 1)/4
Let b(o) be the first derivative of -7*o**4/12 - o**3/2 + 2*o**2 + 7*o - 3. Let w(d) be the first derivative of b(d). Let w(q) = 0. What is q?
-1, 4/7
Let f = 29478/7 - 4210. Find o, given that -4/7*o**2 + 2/7*o**3 - 2*o - f = 0.
-1, 4
Let c be (-26)/(-195) - (3/(-9))/((-20)/8). Factor 1/4*q**2 + c - 3/4*q.
q*(q - 3)/4
Let -10*c - 5 - 135*c**2 - 6*c + 131*c**2 - 7 = 0. What is c?
-3, -1
Let z(u) be the second derivative of u**8/2240 + u**7/420 + u**6/240 - u**4/2 + 19*u. Let a(n) be the third derivative of z(n). Suppose a(h) = 0. What is h?
-1, 0
Let k(y) = y**2 + 6*y - 10. Let g be k(-9). Let x = 21 - g. Find t such that 2*t**3 - t**x + 14*t**2 - 14*t**2 = 0.
0, 2
Suppose -3*m - 162 + 142*m**2 + 120*m - 3*m**5 + 2*m**5 - 96*m**3 + 20*m**4 - 20*m**3 = 0. What is m?
-1, 1, 2, 9
Factor z**4 - 12*z**2 + 162*z - 146*z + z**4 - 6.
2*(z - 1)**3*(z + 3)
Let z = -571/11 - -9883/187. Find c, given that -12/17*c - z - 2/17*c**2 = 0.
-4, -2
Let x = 135 + -128. Suppose 2*s - 3*s = 4*c - x, c - 8 = s. What is v in -5/3*v**c + 1/3*v**4 - 4/3 - 1/3*v**2 + 1/3*v**5 + 8/3*v = 0?
-2, 1
Let s(i) be the second derivative of i**4/60 - 2*i**3/3 + 10*i**2 - 30*i. Let s(a) = 0. Calculate a.
10
Let b(q) be the third derivative of q**6/432 - q**5/48 - 5*q**4/36 + 11*q**3/3 - 29*q**2. Let y(o) be the first derivative of b(o). Factor y(i).
5*(i - 4)*(i + 1)/6
Let v(i) be the third derivative of -8/9*i**4 + 0*i + 0 - 1/315*i**7 - 2/45*i**6 - 4/15*i**5 + 17*i**2 - 16/9*i**3. What is y in v(y) = 0?
-2
Let o be (-1)/(-7) + 120/42. Factor 12*g + 3*g**o + 0*g + 2*g**3 + 8*g - 20*g**2.
5*g*(g - 2)**2
Let i(x) be the second derivative of -5*x**4/12 - 125*x**3/3 - 3125*x**2/2 - 2*x + 49. Solve i(n) = 0.
-25
Let b(a) be the third derivative of a**7/105 + a**6/12 + 7*a**5/30 + a**4/4 + 63*a**2. Suppose b(d) = 0. Calculate d.
-3, -1, 0
Factor 1/2*o**2 + 4 + 3*o.
(o + 2)*(o + 4)/2
Suppose 0 = -3*k + 2*l + 2*l - 14, 4*l - 20 = 0. Suppose -92*d - 32*d = 24*d + 2*d. Determine n so that 2*n**4 + 0*n + d + 8/7*n**5 - 2/7*n**k + 4/7*n**3 = 0.
-1, 0, 1/4
Solve 0*y - y**3 - 1/5*y**4 + 1/5*y**5 - 3/5*y**2 + 0 = 0 for y.
-1, 0, 3
Let r = -14 - -13. Let f be r/((-2)/14) + -2. Let f*u**3 + 2*u**4 - u**4 - u**2 - 5*u**3 = 0. Calculate u.
-1, 0, 1
Let m(q) be the third derivative of -5*q**4/24 + 53*q**3/6 - 34*q**2. Let j be m(10). Solve 1/2*z**j - 1/4*z**4 + 1/4 - 1/2*z + 0*z**2 = 0 for z.
-1, 1
Let l(s) be the first derivative of 2*s**5/15 + 5*s**4/3 - 2*s**3/9 - 10*s**2/3 + 605. Solve l(j) = 0 for j.
-10, -1, 0, 1
Let z be (2/6)/(((-57)/72)/1). Let x = 119/57 + z. Factor 1/3 - q**2 + x*q**3 - 2/3*q**4 - 1/3*q.
-(q - 1)**3*(2*q + 1)/3
Let z = -8 - -19. Factor z*o + 4*o**2 - 14*o - o**2.
3*o*(o - 1)
Find i, given that -38/5*i**2 - 112/5*i + 28/5*i**3 + 2/5*i**4 + 24 = 0.
-15, -2, 1, 2
Let w(y) be the second derivative of 7*y**4/30 - 46*y**3/5 - 8*y**2 - 153*y. What is k in w(k) = 0?
-2/7, 20
Let q(y) = 2*y. Let v be q(1). Suppose 0 = 3*l + v*l. Let c + l*c**3 + 0*c**2 - 3*c**3 - 6*c**2 - 4*c = 0. Calculate c.
-1, 0
Suppose 9*g - 12*g + 21 = 4*p, 2*g - 5*p + 9 = 0. Let d(s) be the first derivative of 1 + 2*s + 3/2*s**2 + 1/3*s**g. Factor d(r).
(r + 1)*(r + 2)
Let r(a) be the first derivative of -245*a**4/4 - 350*a**3 + 1170*a**2 - 1080*a - 320. What is u in r(u) = 0?
-6, 6/7
Let m(d) be the first derivative of d**6/2 + 9*d**5/5 + 3*d**4/4 - 3*d**3 - 3*d**2 - 167. Factor m(r).
3*r*(r - 1)*(r + 1)**2*(r + 2)
Let y(c) be the first derivative of c**6/57 - 3*c**4/19 - 16*c**3/57 - 3*c**2/19 - 725. Factor y(d).
2*d*(d - 3)*(d + 1)**3/19
Let h(d) = 27*d**3 + 3*d**2 - 61*d - 131. Let x(w) = 38*w**3 + 4*w**2 - 92*w - 196. Let a(j) = -7*h(j) + 5*x(j). Factor a(r).
(r - 7)*(r + 3)**2
Let j(b) = -b**2 + 12*b + 15. Let f be j(13). Determine c so that -c - 19 - 4*c**2 + 2*c**2 + f*c**3 + 21 - c**3 = 0.
-1, 1, 2
Suppose 18*s - 23*s + 105 = 0. Determine h so that -17*h**4 + 20*h**3 + s*h**4 + 21*h + 7*h + 36*h**2 + 8 = 0.
-2, -1
Let g be (-72)/60*5*-5. Factor 13*l + 9*l + 4*l**3 - g*l + 4*l**2.
4*l*(l - 1)*(l + 2)
Suppose 16/11*s + 0*s**3 - 6/11 - 12/11*s**2 + 2/11*s**4 = 0. Calculate s.
-3, 1
Suppose 2