irst derivative of b(f). Solve o(n) = 0 for n.
-3, -1
Let j(u) be the third derivative of -1/20*u**5 + 1/70*u**7 + 0*u + 1/40*u**6 - 1/8*u**4 + 0 + 0*u**3 + 12*u**2. What is i in j(i) = 0?
-1, 0, 1
Suppose 53 = 4*k - 3*f + 43, -14 = -4*k + f. Determine x, given that 5*x**3 + 1/2 + 5/2*x + 5/2*x**k + 5*x**2 + 1/2*x**5 = 0.
-1
Suppose 0 = 3*j + 5*j + 104. Let v(p) = -p - 8. Let w be v(j). Factor 0*b + 8/5*b**4 + 0 - 7/5*b**3 + 1/5*b**2 + 16/5*b**w.
b**2*(b + 1)*(4*b - 1)**2/5
Factor -360*j**3 - 15*j**5 - 13*j**5 + 26*j**5 - 2*j**5 + 1080*j**2 + 972 + 60*j**4 - 1620*j.
-4*(j - 3)**5
Let o be 4*(-4)/32*(-8)/16. Factor 0 - 1/4*f**2 + o*f**3 + 0*f.
f**2*(f - 1)/4
Let q = -30 + 22. Let w be 4/q + 75/10. Factor w*t + 2*t + 1 - 40*t**3 - 7 + 37*t**3.
-3*(t - 1)**2*(t + 2)
Let b be (-18)/8*6/(-9). Let k(x) be the first derivative of -2/5*x**5 + 1/3*x**6 - b*x**4 - 5 + 2*x**2 + 2/3*x**3 + 0*x. Factor k(f).
2*f*(f - 2)*(f - 1)*(f + 1)**2
Let y(i) be the second derivative of i**7/147 - 59*i**6/105 + 45*i**5/14 - 277*i**4/42 + 110*i**3/21 - 46*i + 3. Determine r, given that y(r) = 0.
0, 1, 2, 55
Let w(s) = -6*s + 4. Let a be w(1). Let u be 1 + a + (-14)/(-8). Suppose 1/4*c**5 + 1/4*c**2 + u*c**4 + 0*c + 3/4*c**3 + 0 = 0. Calculate c.
-1, 0
Let -120 - 2*c**2 + 0*c + 121*c - 71*c - c**2 - 2*c**2 = 0. What is c?
4, 6
Let r(b) be the third derivative of -b**5/80 - 27*b**4/16 + 171*b**3/8 - 921*b**2. Factor r(x).
-3*(x - 3)*(x + 57)/4
Let y(o) = 3*o**2 + 65*o + 34. Let m(i) = 35*i**2 + 780*i + 395. Let f(p) = 2*m(p) - 25*y(p). Factor f(c).
-5*(c + 1)*(c + 12)
Let l(h) be the first derivative of -h**7/2940 + h**6/180 - h**5/28 + 3*h**4/28 + 2*h**3 + 16. Let u(o) be the third derivative of l(o). Factor u(m).
-2*(m - 3)**2*(m - 1)/7
Let j be (-126)/(-30) - ((-8)/10 + 1). Factor -44*m**j + 32*m**3 + 1077*m**5 - 1073*m**5 + 8*m**3.
4*m**3*(m - 10)*(m - 1)
What is h in 75*h + 2*h**3 + 0*h**2 - h**3 - 20 - 16*h**3 - 40*h**2 = 0?
-4, 1/3, 1
Let b(o) = -44*o - 2637. Let d be b(-60). Let 4/13*i**d + 0*i + 2/13*i**4 - 16/13*i**2 + 0 = 0. What is i?
-4, 0, 2
Let r(n) be the third derivative of -8*n**2 + 0 - 1/2*n**5 + 0*n**3 + 5/3*n**4 + 0*n + 1/14*n**7 - 11/24*n**6. Factor r(y).
5*y*(y - 4)*(y + 1)*(3*y - 2)
Let q = 43 + 4. Let b = q - 47. Factor -1/3*i**3 + 0*i**2 + b*i**4 + 0*i + 1/3*i**5 + 0.
i**3*(i - 1)*(i + 1)/3
Factor -3200/9 - 2/9*p**3 + 158/9*p**2 - 3040/9*p.
-2*(p - 40)**2*(p + 1)/9
Let u(r) = -5*r**5 - 41*r**4 + 57*r**3 + 11*r + 22. Let b(o) = -o**5 - 8*o**4 + 11*o**3 + 2*o + 4. Let w(d) = -22*b(d) + 4*u(d). Solve w(g) = 0 for g.
-7, 0, 1
Find d, given that 10/3 - 4/3*d**2 - 7/3*d + 1/3*d**3 = 0.
-2, 1, 5
Let z be 29*44/1914*(-3)/(9/(-2)). Factor 4/3*q**3 - 4/3*q**4 + 0*q + 0 + 4/9*q**5 - z*q**2.
4*q**2*(q - 1)**3/9
Let c = 5/54 + 23/189. Let w(h) be the second derivative of 1/70*h**6 - 3/28*h**5 + 2/7*h**3 + 7*h - 12/7*h**2 + 0 + c*h**4. Find n, given that w(n) = 0.
-1, 2
Let m(v) = 10*v**2 - 6*v + 4. Let q(p) be the second derivative of -5/2*p**2 - 11/12*p**4 + p + 0 + 5/6*p**3. Let k(z) = 3*m(z) + 2*q(z). Solve k(l) = 0.
1/2
Let p = -8 - -10. Let n(l) = -l + 7. Let m be n(3). Determine w, given that -3*w - 5*w + p*w**2 + m + 2*w = 0.
1, 2
Suppose -8*x - 10*x = 2340. Let a = x - -130. Solve 2/13*z**5 + 0 + a*z + 4/13*z**3 - 6/13*z**4 + 0*z**2 = 0 for z.
0, 1, 2
Suppose 19*i - 27*i = 16. Let r be (65/15 + -5)/(i/9). Determine o, given that -8/5*o - 2/5*o**4 - 8/5 + 4/5*o**r + 6/5*o**2 = 0.
-1, 2
Suppose 4*u + 5 + 3 = 5*s, -2*u = -s + 4. Let j be 70/245 + -2*u/(-14). Determine m so that j + 6/7*m**2 + 2/7*m - 8/7*m**3 = 0.
-1/4, 0, 1
Let u(h) be the first derivative of h**3/3 - 11*h**2/2 + 18*h - 35. Factor u(n).
(n - 9)*(n - 2)
Let h be (0 - -142)*-1 + 0/(-6). Let k be (-2 - (-26)/10) + h/(-30). Factor 16/3*s + 4*s**2 + 4/3*s**4 - 16/3*s**3 - k.
4*(s - 2)**2*(s - 1)*(s + 1)/3
Let j(x) be the second derivative of -3/4*x**3 + 1/4*x**4 - 13*x + 0 + 3/4*x**2 + 1/28*x**7 - 3/20*x**6 + 3/20*x**5. Factor j(i).
3*(i - 1)**4*(i + 1)/2
Let s = -19 - -21. Suppose 5*r - 31 = -4*l, -3*r + s*r + 11 = 2*l. Factor 0 + 2/7*b - 4/7*b**2 + 2/7*b**r.
2*b*(b - 1)**2/7
Let u = -1/54 + 437/270. Determine r, given that 8/5*r - u - 2/5*r**2 = 0.
2
Find a, given that -58*a + 106*a - 41*a + 2*a**2 - a**2 = 0.
-7, 0
Let g(c) be the first derivative of -15/14*c**2 - 12/7*c - 1/7*c**3 - 1. Factor g(v).
-3*(v + 1)*(v + 4)/7
Let n be (-7)/((-49)/(-70))*(-4)/10. Suppose 2 - 1 = 3*k - 4*p, -p - 10 = -n*k. Let -3/5*m**5 + 4/5*m**2 - 4/5*m**4 + 2/5*m**k + 0 + 1/5*m = 0. Calculate m.
-1, -1/3, 0, 1
Find g, given that 1616*g**2 + 16*g + 14 - 805*g**2 - 809*g**2 = 0.
-7, -1
Let j be (4635/30)/((-39)/(-88)). Let g = j + -348. Suppose -2/13*t - 2/13*t**5 + 0 - 12/13*t**3 - g*t**4 - 8/13*t**2 = 0. What is t?
-1, 0
Let u = 38 + -35. Suppose -5*i = 3*y + 45, -2*y - 2 = -2*i + u*i. Let k(t) = 3*t**2 + 3*t + 12. Let b(s) = 1. Let z(m) = i*b(m) + k(m). Solve z(f) = 0 for f.
-1, 0
Let m = -38 + 42. Factor -3*j**m - 6 + 3*j**2 + 2*j**3 + j**3 + 2*j**2 + 4*j**2 - 3*j.
-3*(j - 2)*(j - 1)*(j + 1)**2
Let z(a) = -3*a**2 - 6*a - 3. Let g(k) = -k**2 - 2*k - 1. Let o(j) = 11*g(j) - 4*z(j). Solve o(q) = 0 for q.
-1
Suppose 0 = -n + 6*n + n. Let b(k) be the second derivative of -1/14*k**7 - 1/2*k**6 + n + 4*k - 5/2*k**3 - 3/2*k**2 - 3/2*k**5 - 5/2*k**4. Factor b(l).
-3*(l + 1)**5
Let n = 146753256871/3451 - 42524849. Let g = n - 2/493. Let -2/7*c**3 - 10/7*c**2 - 2*c - g = 0. Calculate c.
-3, -1
Let p(d) be the first derivative of 3 - 1/36*d**4 + 0*d - 1/360*d**5 - 1/9*d**3 - 2*d**2. Let r(l) be the second derivative of p(l). Factor r(g).
-(g + 2)**2/6
Let h = -859/53256 + 7/317. Let k(r) be the third derivative of 0*r**3 + 1/240*r**5 - h*r**7 + 1/480*r**6 + 0*r + 0 - 6*r**2 + 0*r**4 + 1/448*r**8. Factor k(v).
v**2*(v - 1)**2*(3*v + 1)/4
Let k be 24/(-20)*(0 - 5). Let g be (9/(-12))/((-102)/16 + k). Find y such that 15/4*y**3 + 0 + 9/4*y**4 - 9/4*y**g - 3/4*y - 3*y**5 = 0.
-1, -1/4, 0, 1
Let f(g) be the third derivative of -g**7/210 + g**6/180 + g**5/15 + g**4/8 - 7*g**2. Let i(h) be the second derivative of f(h). Let i(x) = 0. Calculate x.
-2/3, 1
Let q(d) = -d**3 - 2*d**2 - d + 2. Let t(i) = 5*i**4 - 160*i**3 + 140*i**2 - 5*i + 10. Let y(j) = -5*q(j) + t(j). Factor y(f).
5*f**2*(f - 30)*(f - 1)
Suppose 4*s = -5 + 17. Suppose 2*f + 2*h + 0 = -4, -s*f - 2 = 2*h. Factor 4*i**2 + i**3 + 4*i**4 + 4*i**2 + 12*i**3 - 3*i**3 + f*i.
2*i*(i + 1)**2*(2*i + 1)
Let k = -359 - -362. Let n(o) be the second derivative of 0 + 1/42*o**7 + 0*o**k + 1/30*o**6 - 1/20*o**5 + 0*o**2 - 6*o - 1/12*o**4. Let n(r) = 0. Calculate r.
-1, 0, 1
Let r = 106 - 51. Let h = r + -55. Factor -3/4*y**2 + h + 21/4*y**3 - 12*y**5 - 6*y**4 + 0*y.
-3*y**2*(y + 1)*(4*y - 1)**2/4
Let q(o) be the first derivative of o**6/18 + 2*o**5/15 - o**4/12 - 2*o**3/9 + 151. Factor q(b).
b**2*(b - 1)*(b + 1)*(b + 2)/3
Let t be ((472/(-15))/4)/((-2)/(-3)). Let l = -56/5 - t. Factor -3/5*d + 0 - l*d**2.
-3*d*(d + 1)/5
Suppose -5*w = 46 - 16. Let h = w + 8. Factor 4*x**3 + 3*x - h*x + x**5 - 6*x**3.
x*(x - 1)**2*(x + 1)**2
Let a(r) be the first derivative of 11 - 1/12*r**4 - 1/30*r**5 + 0*r + 0*r**2 - 1/18*r**3. Factor a(q).
-q**2*(q + 1)**2/6
Let u = 13041/8 + -39059/24. Find i, given that 0 + 6*i**3 - u*i + 8*i**2 - 14/3*i**4 = 0.
-1, 0, 2/7, 2
Let h(m) = -9*m**3 - m**2 - 5*m - 5. Let k(j) be the third derivative of -j**6/12 - j**5/30 - j**4/4 - j**3 + j**2. Let o(d) = -6*h(d) + 5*k(d). Factor o(z).
4*z**2*(z - 1)
Let z(j) be the third derivative of -j**5/630 + j**4/63 - 25*j**2. Factor z(i).
-2*i*(i - 4)/21
Suppose 6*p = 3*p + 5*w + 20, 4*p + 2*w = 18. Let t(n) be the first derivative of 4 - 24/5*n**3 - 54/5*n - 2/25*n**p - 54/5*n**2 - n**4. Factor t(h).
-2*(h + 1)*(h + 3)**3/5
Let q(b) be the first derivative of 36*b**5/5 - 23*b**4/2 - 22*b**3 + 12*b**2 + 8*b + 8. Determine j, given that q(j) = 0.
-1, -2/9, 1/2, 2
Let n(y) be the first derivative of 3*y**5/25 + 7*y**4/20 - 7*y**3/15 - 3*y**2/10 + 326. Let n(r) = 0. Calculate r.
-3, -1/3, 0, 1
Let d = 235 + -217. Suppose 0 = -d*c + 11*c. Suppose 0*j + 0*j**2 + c + 5/3*j**3 = 0. What is j?
0
Let t(v) = -v**3 - 19*v**2 - 19*v - 16. Let w be t(-18). Factor 0*y - w*y - 4*y**3 + 27*y**5 + 3*y**2 + 5*y**3 - 3*y**4 - 26*y**5