erivative of -l**5/15 - 4*l**4/3 - 14*l**3/3 - 13*l**2 - 25. Let h(d) be the second derivative of v(d). Factor h(j).
-4*(j + 1)*(j + 7)
Let p(b) be the first derivative of -9 + 0*b + 2/7*b**2 - 1/7*b**4 + 0*b**3. Factor p(o).
-4*o*(o - 1)*(o + 1)/7
Let z(h) be the first derivative of -5 + 1/4*h**2 + 5*h - 1/3*h**3 - 5/24*h**4. Let m(i) be the first derivative of z(i). Factor m(o).
-(o + 1)*(5*o - 1)/2
Let d(a) be the first derivative of -5*a**6/12 - 43*a**5/2 + 1405*a**4/8 - 3125*a**3/6 + 730*a**2 - 490*a + 848. What is w in d(w) = 0?
-49, 1, 2
Let o = -53 - -66. Suppose -33*j**4 + o*j**4 - 20*j - 4 - 22*j**3 + 3*j**5 - 7*j**5 - 40*j**2 - 18*j**3 = 0. Calculate j.
-1
Let u be (-5)/19*12673/(-2001). Solve 0*k + 0 + 5*k**3 + 5/3*k**5 + 5*k**4 + u*k**2 = 0 for k.
-1, 0
Let z be 3 + -5 - (-7 - 0). Suppose -4*d = -5*d + z. Suppose 3*j**d + 21*j**3 + 12*j**2 + 12*j**4 - 3*j**3 + 3*j + 0*j = 0. Calculate j.
-1, 0
Let r(t) be the third derivative of -t**9/30240 + t**8/5040 - t**5/15 + 22*t**2. Let p(s) be the third derivative of r(s). Factor p(f).
-2*f**2*(f - 2)
Let j be ((-90)/(-105))/((-1)/(-28)). Let v = j + -21. Factor 0*t**2 + 0 + 1/5*t**v + 0*t.
t**3/5
Determine x, given that 2/5*x**2 - 84/5*x + 0 = 0.
0, 42
Let t(f) be the first derivative of -4/5*f**5 - 1/2*f**4 + 0*f + 0*f**2 - 26 + 4/3*f**3 + 1/3*f**6. Suppose t(y) = 0. Calculate y.
-1, 0, 1, 2
Let y(x) be the third derivative of -x**8/1848 - 38*x**7/1155 + 4*x**6/33 - 417*x**2. Let y(c) = 0. Calculate c.
-40, 0, 2
Let n(l) = -5*l**2 - 103*l - 3. Let y(h) = 15*h**2 + 310*h + 10. Let u(x) = -10*n(x) - 3*y(x). Factor u(b).
5*b*(b + 20)
Let q = 1/2936 - -5867/14680. Suppose -2/5*t**3 + 2/5*t - q + 2/5*t**2 = 0. What is t?
-1, 1
Let t(f) be the first derivative of 10*f**3/3 - 5*f**2/2 - 5*f + 147. Solve t(j) = 0 for j.
-1/2, 1
Let d(c) be the first derivative of c**4/4 - 13*c**3/3 - c**2/2 + 15*c - 6. Let z be d(13). Factor -z*m**3 + 3*m**3 + 3*m**4 - 3*m + 2*m**3 - 3*m**2.
3*m*(m - 1)*(m + 1)**2
Let a(k) = -3*k - 10. Let s be a(-4). Factor 5*b**2 - 2*b**3 - b**4 + b - 6*b**2 + s*b**2 + b.
-b*(b - 1)*(b + 1)*(b + 2)
Let m(u) be the second derivative of -5/6*u**3 + 0*u**2 + 4*u + 0 + 1/4*u**5 + 0*u**4. Factor m(c).
5*c*(c - 1)*(c + 1)
Let p be (((-9)/(-3))/(-1))/(1 + -2). Find j, given that -1 - 15*j**2 + 11*j**2 - 8*j - p = 0.
-1
Let y = -37/2 + 19. Let a(s) be the first derivative of -1 - 3/4*s**2 - y*s**3 + 0*s. Factor a(n).
-3*n*(n + 1)/2
Let d be 155/50 - 4/((-8)/(-6)). Let n(w) be the first derivative of -1/24*w**6 + 0*w + d*w**5 + 3/16*w**4 - 1/2*w**2 - 1/3*w**3 - 7. Factor n(s).
-s*(s - 2)**2*(s + 1)**2/4
Let j(h) be the third derivative of 0*h + 1/735*h**7 - 1/70*h**5 + 0 - 22*h**2 - 1/21*h**4 + 4/21*h**3 + 1/210*h**6. Suppose j(o) = 0. What is o?
-2, 1
Let c(s) be the second derivative of s**5/100 + s**4/10 + 4*s**3/15 + 22*s + 3. Solve c(v) = 0.
-4, -2, 0
Let i(f) be the first derivative of -f**5/330 + f**3/33 - 17*f**2/2 - 29. Let p(u) be the second derivative of i(u). Suppose p(l) = 0. What is l?
-1, 1
Let c(a) = a**3. Let p be c(0). Let i(x) be the third derivative of 0 - x**3 + p*x - 3*x**2 - 7/20*x**5 + 9/8*x**4. Factor i(w).
-3*(w - 1)*(7*w - 2)
Suppose -8*r + 28 = -r. Let n(f) be the first derivative of 1/15*f**5 + 0*f**r - 1/9*f**3 + 5 + 0*f**2 + 0*f. Factor n(h).
h**2*(h - 1)*(h + 1)/3
Suppose 5*m - 1488 = -m. Solve 498*z - m*z - z**2 - 6 - 255*z = 0 for z.
-3, -2
Let f(p) be the second derivative of -2/7*p**3 + 0*p**6 - 8/21*p**4 + 2/147*p**7 + 42*p + 0*p**2 - 6/35*p**5 + 0. Find o, given that f(o) = 0.
-1, 0, 3
Suppose u + 48 = 4*n, u = 2*n - 13 - 13. Solve 11*q**2 - 28*q**5 + 9*q**2 + 36*q**3 + 9*q**4 - 18*q**4 - n*q**4 - 8*q = 0 for q.
-1, 0, 2/7, 1
Let g(v) = -v**3 + 6*v**2 + 2*v - 9. Let j be g(6). Factor o**3 - 8*o**j + 8*o**3 - 3*o**3 + 2*o + 4 - 4*o**2.
-2*(o - 1)*(o + 1)*(o + 2)
Factor -124 - 113 - 3305*f**2 - 1420*f + 10 + 245*f**4 + 47 - 1820*f**3.
5*(f - 9)*(f + 1)*(7*f + 2)**2
Factor -100/7 + 10/7*n + 16/7*n**2 + 2/7*n**3.
2*(n - 2)*(n + 5)**2/7
Let z(o) be the first derivative of 0*o + 5/8*o**5 - 2 + 11/24*o**3 + 35/32*o**4 + 1/16*o**2. Factor z(g).
g*(g + 1)*(5*g + 1)**2/8
Let b(u) = -3*u**5 - 12*u**3 + 6*u + 3. Let c(w) = -5*w**5 - 11*w**3 + 4*w + 4. Let y(s) = -4*b(s) + 3*c(s). Suppose y(k) = 0. Calculate k.
-2, -1, 0, 1, 2
Let o(h) be the second derivative of 0 + 2*h**2 + 0*h**4 + h**3 - 1/10*h**5 + 12*h. Factor o(v).
-2*(v - 2)*(v + 1)**2
Let l(y) be the third derivative of y**7/420 + y**6/60 + y**5/20 + y**4/12 - 5*y**3/6 + 9*y**2. Let z(v) be the first derivative of l(v). Factor z(m).
2*(m + 1)**3
Let q(z) = 25*z**3 - 297*z**2 + 1662*z - 3118. Let h(n) = -6*n**3 + 74*n**2 - 416*n + 780. Let l(v) = 9*h(v) + 2*q(v). Factor l(u).
-4*(u - 7)**2*(u - 4)
Let d(j) = -16*j**4 - 44*j**3 + 44*j**2 + 16*j - 28. Let z(h) = -3*h**4 - 8*h**3 + 8*h**2 + 3*h - 5. Let p(s) = -5*d(s) + 28*z(s). Let p(l) = 0. What is l?
-1, 0, 1
Let i(s) be the third derivative of -12167*s**6/780 - 529*s**5/65 - 23*s**4/13 - 8*s**3/39 - 93*s**2. Factor i(a).
-2*(23*a + 2)**3/13
Let i(b) = -b**2 - 27*b + 30. Let g be i(-28). Determine j so that 2*j**5 - 3*j**5 + 4*j**g - 3*j**3 - 5*j**3 + 5*j**4 = 0.
0, 1, 2
Suppose -3 - 17 = 4*r, -2*a = -4*r + 12. Let j be (a/20)/(2/(-15)). Suppose -3*g**2 + g**2 + 5*g**2 - 9 - j*g = 0. What is g?
-1, 3
Suppose -10 - 25 = -17*p - 1. Suppose 4*n = 4, -5*c - 5*n - 2 = -22. Factor -c*o**3 + 3/4*o**p + 0 + 0*o.
-3*o**2*(4*o - 1)/4
Let m be (-12)/10*10/(-3). Suppose 10 = 5*h - o + 4*o, -2*h = -3*o - m. Factor -8*i**3 - 7*i**5 - 4*i**h + 5*i**5 - 8*i**4 - 2*i**3.
-2*i**2*(i + 1)**2*(i + 2)
Factor -95*u**2 - 7203 + 36*u**2 + 56*u**2 - 294*u.
-3*(u + 49)**2
What is y in 2/5 + 5*y - 58/5*y**2 = 0?
-2/29, 1/2
Let w(t) be the third derivative of t**5/80 + 3*t**4/32 - t**3/2 - 55*t**2. Suppose w(p) = 0. Calculate p.
-4, 1
Factor 240*g - 576 + 311*g**2 + 49/2*g**3 + 1/2*g**4.
(g - 1)*(g + 2)*(g + 24)**2/2
Let l(b) = b**3 + 9*b**2 - 2*b + 5. Let k(o) = -o**3 - 8*o**2 + o - 4. Let q(t) = -5*k(t) - 4*l(t). Solve q(i) = 0 for i.
-3, -1, 0
Let z be ((-2)/(-4))/(((-72)/32)/(-9)). Let b(h) be the first derivative of 4*h + h**z - 4/3*h**3 - 1/2*h**4 - 4. Factor b(a).
-2*(a - 1)*(a + 1)*(a + 2)
Let f = 411 - 409. Let d(b) be the third derivative of -1/42*b**5 + 1/21*b**3 + 0 - 1/21*b**4 + 0*b + b**f. Factor d(m).
-2*(m + 1)*(5*m - 1)/7
Suppose -4*v - 2 = 14, -2*c + 8 = -2*v. Let r(u) be the third derivative of 0*u + 4*u**2 + 0*u**3 + c - 1/48*u**4 - 1/120*u**5. Suppose r(l) = 0. Calculate l.
-1, 0
Let c be 2/(-3)*(-3)/2. Let p be -9 + 5 + (-1 - -9) - c. Suppose 14/11*o**5 + 24/11*o**4 - 4/11*o**2 + 0 + 0*o + 6/11*o**p = 0. Calculate o.
-1, 0, 2/7
Let g(i) be the third derivative of -i**5/300 - i**4/5 - 23*i**3/30 - 50*i**2 - i. Factor g(a).
-(a + 1)*(a + 23)/5
Let c = 228 - 184. Let k = 91/2 - c. Factor 0*m + k - 3/2*m**2.
-3*(m - 1)*(m + 1)/2
Let o = 7 - 7. Let z = 5952/29785 + 1/5957. Factor -1/5*t + o + z*t**2.
t*(t - 1)/5
Let -116*b - 25114*b**2 + 0*b**3 + 25206*b**2 - 4*b**3 - 52*b = 0. What is b?
0, 2, 21
Let y(h) be the third derivative of -h**7/7560 + h**6/216 - 5*h**5/72 - 29*h**4/24 - 13*h**2. Let c(f) be the second derivative of y(f). Solve c(x) = 0 for x.
5
Let k be (-388)/(-108)*57 - 6/(-27). Let o = k + -1843/9. Factor 2/9*g**2 - 4/9 - 2/3*g + o*g**4 + 2/3*g**3.
2*(g - 1)*(g + 1)**2*(g + 2)/9
Let g(l) = 11*l**3 + l**3 + 6*l**3 + 2 - 37*l**2 + 14*l. Let n(h) = -18*h**3 + 36*h**2 - 14*h - 2. Let i(z) = 2*g(z) + 3*n(z). Factor i(x).
-2*(x - 1)**2*(9*x + 1)
Let o = -3/134 - -35/67. What is m in -o*m**2 - 1/6*m**3 + 2/3*m + 0 = 0?
-4, 0, 1
Let s(v) be the first derivative of -v**4/12 + 7*v**3/6 - 3*v**2 - 24*v - 10. Let a(k) be the first derivative of s(k). Factor a(m).
-(m - 6)*(m - 1)
Let q(o) be the third derivative of 0*o - 5/42*o**4 + 1/105*o**5 - 3*o**2 + 0 + 8/21*o**3. Suppose q(u) = 0. What is u?
1, 4
Let r(a) be the second derivative of -a**4/12 - a**3/6 + 3*a**2 + 63*a. Suppose r(v) = 0. Calculate v.
-3, 2
Let t = -10597 - -10599. Let 2/11*p**t - 2/11*p + 2/11*p**3 - 2/11 = 0. What is p?
-1, 1
Let s be (-8)/18 - (-14 - (-15 - (-4 + 2))). Determine g so that 8/3*g**2 - 1/9 - s*g = 0.
-1/8, 1/3
Suppose 2*d + 3*i - 3 = 0, 0 = -5*d + 4*d - 3*i. Let g(u) be t