ivative of 2/5*d - 7 + c*d**2 + 2/15*d**3. Factor l(y).
2*(y + 1)**2/5
Let d = -4 - -1. Let s(b) = -b**2 + 5*b - 3. Let u(z) = -z**2 + 14 - 31 + 4*z + 15. Let p(x) = d*u(x) + 2*s(x). Find g, given that p(g) = 0.
0, 2
Let s(o) = -o**2 - 43*o + 55. Let x = 34 + -36. Let y(q) = -14*q + 18. Let v(k) = x*s(k) + 7*y(k). Factor v(t).
2*(t - 4)*(t - 2)
Let z(k) be the second derivative of k**4/24 + 17*k**3/3 + 289*k**2 - 92*k + 2. Factor z(n).
(n + 34)**2/2
Let -22*l**2 - 56*l - 32 - 5/2*l**3 = 0. What is l?
-4, -4/5
Let x(i) be the third derivative of 0 - 12/7*i**3 + 0*i - 1/210*i**5 - 1/7*i**4 - 30*i**2. Factor x(b).
-2*(b + 6)**2/7
Let f(m) be the third derivative of -m**6/320 - 61*m**5/160 - 899*m**4/64 + 961*m**3/16 - 7*m**2 - 26. Suppose f(c) = 0. Calculate c.
-31, 1
Suppose -3*s = -3*h + h - 4, 5*h = -4*s + 13. Let l be (-2 - (2 + -6))/h. Determine k so that -k + 0*k**4 + k**3 - k**2 - 4*k**3 - 2*k**l - k**4 = 0.
-1, 0
Let k = 73439/7 + -10489. Factor -16/7 + k*v - 4/7*v**2.
-4*(v - 2)**2/7
Let u(f) be the second derivative of f**4/21 - 748*f**3/21 + 69938*f**2/7 + 514*f. Factor u(k).
4*(k - 187)**2/7
Let i(x) be the third derivative of x**6/150 - 113*x**5/150 + 406*x**4/15 - 784*x**3/15 + 261*x**2. Factor i(c).
2*(c - 28)**2*(2*c - 1)/5
Let f(c) be the second derivative of 0 + 1/70*c**5 - 4/7*c**2 - 29*c + 0*c**3 + 1/14*c**4. Factor f(g).
2*(g - 1)*(g + 2)**2/7
Determine k, given that -2 - 63*k + 5*k**2 - 22*k + 5 - 3 = 0.
0, 17
Suppose 10 = 4*y + 2. Let s be (1*2 - (-25)/10)*y. Factor 0 - 6*c**2 + s*c**3 - 6*c**4 + 3/2*c + 3/2*c**5.
3*c*(c - 1)**4/2
Let l(a) be the first derivative of -2*a**5/75 + a**4/30 + 2*a**3/15 - a**2/3 + 4*a/15 + 909. Factor l(t).
-2*(t - 1)**3*(t + 2)/15
Let j be -13 - (36049/(-52))/47. Factor j*x**3 + 3/4*x - 2*x**2 + 0 - 1/2*x**4.
-x*(x - 1)**2*(2*x - 3)/4
Let j = 103 + -87. Factor 8 - 3*p**2 - j + 3 - 3*p + 23.
-3*(p - 2)*(p + 3)
Suppose -8*p = -p - p. Let k(y) be the second derivative of p + 9/8*y**2 - 1/4*y**3 + 1/48*y**4 - 4*y. Factor k(j).
(j - 3)**2/4
Let f(m) = m**2 + 1. Let c be f(-1). Suppose -4*k**3 - 12*k + 7*k**2 + 4 + 7*k**2 - 2*k**2 + 0*k**c = 0. What is k?
1
Let p(x) be the second derivative of -5*x**4/48 - 25*x**3/24 - 5*x**2/2 + 170*x. Solve p(q) = 0 for q.
-4, -1
Let o(d) be the third derivative of 16*d**7/735 + 2*d**6/105 - d**5/14 - 2*d**4/21 - d**3/21 - 260*d**2. Solve o(z) = 0.
-1, -1/4, 1
Let p(w) = 45*w**3 - 5*w + 40*w**2 - 11*w + 25 + 16*w. Let v(f) = -11*f**3 - 10*f**2 - 6. Let s(i) = 6*p(i) + 25*v(i). Suppose s(g) = 0. What is g?
-2, 0
Let q(u) be the third derivative of u**8/1008 - u**7/630 - 13*u**6/72 - 7*u**5/20 + 28*u**2. Factor q(x).
x**2*(x - 9)*(x + 1)*(x + 7)/3
Let h = -383/600 - -76/75. Solve -3/8*s**2 - 3/4*s - h = 0 for s.
-1
Let l = -39 - -42. Let u(f) = -3*f - 4. Let s be u(-2). Let -24*n**s + 8/3*n + 70*n**l - 200/3*n**4 + 0 = 0. Calculate n.
0, 1/4, 2/5
Let a(d) = d**3 - 13*d**2 - 30*d + 3. Let f be a(15). Factor -26*q**3 - 8*q**2 - 24*q**3 + 12*q - 22*q**f + 68*q**3.
-4*q*(q - 1)*(q + 3)
Let r = 1208735025/728 - 1660350. Let q = r + 6/91. Factor q*m**2 + 1/8*m**3 + 0 + 1/4*m.
m*(m + 1)*(m + 2)/8
Let d be -5 + 3 - -4 - 1 - -43. Suppose 12*i - 9*i**3 + 16*i**2 + 19*i**2 - 4 - d*i = 0. Calculate i.
-1/9, 2
What is z in -2/3*z**3 - 44/3*z + 50/3*z**2 - 32 = 0?
-1, 2, 24
Suppose d - 223 = -444 + 221. Factor d + 3/8*i**4 + 33/8*i**3 + 0*i + 0*i**2.
3*i**3*(i + 11)/8
Determine j, given that -2/3*j**2 - 212/3*j - 5618/3 = 0.
-53
Let d(q) be the second derivative of 35*q + 1/3*q**4 + 1/6*q**2 - 13/36*q**3 + 1/45*q**6 - 17/120*q**5 + 0. Determine f so that d(f) = 0.
1/4, 1, 2
Let h(j) be the third derivative of 1/108*j**6 + 0*j + 4/27*j**3 - 1/945*j**7 - 2/27*j**4 - 43*j**2 - 1/1512*j**8 + 0 + 1/270*j**5. Factor h(v).
-2*(v - 1)**3*(v + 2)**2/9
Let x(j) be the second derivative of -j**4/54 - 5*j**3/27 - 2*j**2/3 + 6*j - 4. Factor x(v).
-2*(v + 2)*(v + 3)/9
Let p = -38 - -41. Factor -2 - 3*h**3 + 3*h**3 + 0*h**3 + h**3 - p*h.
(h - 2)*(h + 1)**2
Let p be (-36)/1464*(-12)/9. Let j = 539/305 + p. Solve 0 - 3/5*r**3 + j*r + 6/5*r**2 = 0 for r.
-1, 0, 3
Suppose -4*b + 3*b - 3*y = 0, 2*b + 3*y = 0. Suppose b = -5*q - 2*p - 6, -2*q + 4*p + p + 15 = 0. Find g, given that -1/2*g + 1/2*g**2 + q = 0.
0, 1
Let g(f) be the first derivative of f**4/34 + 2*f**3/17 - 8*f/17 - 13. Find y such that g(y) = 0.
-2, 1
Solve -48/7 + 0*i**2 + 36/7*i - 3/7*i**3 = 0 for i.
-4, 2
Factor -129*s - 47*s + 33*s**3 - 229*s + 52*s**3 - 315*s**2 - 5*s**4.
-5*s*(s - 9)**2*(s + 1)
Let t(u) be the third derivative of -u**8/2520 + u**7/315 - u**6/108 + u**5/90 - 3*u**3/2 + 11*u**2. Let r(d) be the first derivative of t(d). Factor r(f).
-2*f*(f - 2)*(f - 1)**2/3
Suppose 15 = 2*i + 5*r, 0*i - r - 51 = -5*i. Suppose i = 8*o - 3*o. Factor 2/5*f**3 - 8/5*f**o + 8/5*f + 0.
2*f*(f - 2)**2/5
Let f(j) be the first derivative of -j - 3 - 4*j + 6*j**3 - 7*j**2 + j - 4. Solve f(n) = 0.
-2/9, 1
Let p(r) be the second derivative of -r**5/30 + 2*r**4/15 - 4*r**3/45 + 18*r + 2. Factor p(h).
-2*h*(h - 2)*(5*h - 2)/15
Let j(a) be the second derivative of 0*a**2 + 0*a**4 + 1/2*a**3 - 12*a - 9/20*a**5 - 1/5*a**6 + 0. What is s in j(s) = 0?
-1, 0, 1/2
Let u(y) be the first derivative of -3*y**4/32 - 3*y**3/4 - 9*y**2/16 + 15*y/4 - 75. Factor u(p).
-3*(p - 1)*(p + 2)*(p + 5)/8
Let s(c) = 4*c**5 - 2*c**4 - 9*c**3 + 14*c**2 - 7*c + 3. Let g(d) = -7*d**5 + 3*d**4 + 18*d**3 - 27*d**2 + 13*d - 5. Let t(m) = -3*g(m) - 5*s(m). Factor t(w).
w*(w - 1)**3*(w + 4)
Let -66/5*h**2 - 24/5*h - 24/5*h**4 + 0 - 63/5*h**3 - 3/5*h**5 = 0. What is h?
-4, -2, -1, 0
Factor -2/23*p - 10/23*p**2 + 10/23 + 2/23*p**3.
2*(p - 5)*(p - 1)*(p + 1)/23
Determine x so that -28*x**3 - 94*x**4 - 86*x**4 - 9 + 32*x**2 + 176*x**4 + 9 = 0.
-8, 0, 1
Let v be (-3)/((3 - 18/4)*1). Let 2*d**2 - 6*d**v - 43*d + 23*d = 0. Calculate d.
-5, 0
Let k(s) be the third derivative of -s**5/150 + 4*s**4/15 - 54*s**2. Solve k(t) = 0 for t.
0, 16
Let p = 9671/5 + -1933. Factor 0*m**2 + 0 - 3/5*m**5 - 3/5*m + 0*m**4 + p*m**3.
-3*m*(m - 1)**2*(m + 1)**2/5
Let y = 19/11 + -27/22. Let l = 0 + y. Factor 0*t + 0*t**3 + 1/2*t**2 + 0 - l*t**4.
-t**2*(t - 1)*(t + 1)/2
Let j(u) be the second derivative of -3*u**6/5 + u**5 + 7*u**4/6 - 8*u**3/3 - 10*u + 7. Solve j(l) = 0.
-8/9, 0, 1
Let j = 203 - 6698/33. Let c(w) be the third derivative of 0*w + 1/110*w**5 + 0 + w**2 + 1/660*w**6 + j*w**3 + 1/44*w**4. Suppose c(f) = 0. What is f?
-1
Let m(w) be the first derivative of -w**8/1176 + w**6/210 - w**4/84 - 3*w**2 - 1. Let o(p) be the second derivative of m(p). Factor o(z).
-2*z*(z - 1)**2*(z + 1)**2/7
Let a(w) = 2*w**3 - 39*w**2 - 59*w - 33. Let d(o) = -2*o**3 + 76*o**2 + 118*o + 65. Let s(y) = -10*a(y) - 6*d(y). Factor s(t).
-2*(t + 1)*(t + 6)*(4*t + 5)
Let p(q) be the first derivative of 5*q**4 + 115*q**3/3 - 15*q**2 - 55. Factor p(u).
5*u*(u + 6)*(4*u - 1)
Let q(o) be the first derivative of -5*o**6/33 - 21*o**5/55 + 5*o**4/44 + 9*o**3/11 + 5*o**2/22 - 6*o/11 - 83. Determine s, given that q(s) = 0.
-3/2, -1, 2/5, 1
Let l = 88 - 28. Suppose -l = -5*a + f + 18, a - 6 = -3*f. Factor -5 + c**3 + 0*c**3 - a*c**2 - 10*c**3 + 4*c**3 - 15*c.
-5*(c + 1)**3
Let n(t) = 19*t**2 - 259*t + 151. Let r(a) = -3*a**2 + 43*a - 25. Let w(x) = -6*n(x) - 34*r(x). Let w(p) = 0. What is p?
2/3, 7
Let q(w) be the first derivative of -2*w**6/3 + 4*w**5/5 + 7*w**4/4 + 2*w**3/3 + 172. Factor q(v).
-v**2*(v - 2)*(2*v + 1)**2
Let a(y) be the first derivative of 0*y**2 - 9*y**4 + 0*y + 4 + 7/2*y**6 + 8/3*y**3 + 22/5*y**5. Suppose a(q) = 0. Calculate q.
-2, 0, 2/7, 2/3
Find c, given that 32/3*c + 0 - 16/3*c**2 + 2/3*c**3 = 0.
0, 4
Let w(v) = -v**4 + 7*v**3 - 8*v**2 - 20*v. Let j(b) = b. Suppose 21*m - 24*m = -12. Let z(l) = m*j(l) + w(l). Factor z(g).
-g*(g - 4)**2*(g + 1)
Let a be (2 + (-117)/13)*4/(-7). Let o(w) be the first derivative of 0*w + 1/16*w**a + 1/20*w**5 - 1/6*w**3 + 0*w**2 + 5. Suppose o(g) = 0. Calculate g.
-2, 0, 1
Let a(d) be the first derivative of d**6/15 + 2*d**5/5 + 3*d**4/10 - 2*d**3/3 - 4*d**2/5 + 92. Suppose a(o) = 0. What is o?
-4, -1, 0, 1
Let u = -1414 - -1416. Let p(y) be the first derivative of 2/3*y**3 + 0*y**u + 8 - 8*y. Factor p(z).
2*(z - 2)*(z + 2)
Let t(g) be the third derivative of 0 - 1/120*g**5 -