rd derivative of d**5/360 + d**4/12 + 5*d**3/9 + 86*d**2 - 2*d. Determine m, given that a(m) = 0.
-10, -2
Let c(t) be the third derivative of -t**6/40 + 3*t**5/20 + 9*t**4/4 + 12*t**2. Factor c(q).
-3*q*(q - 6)*(q + 3)
Let f(s) be the third derivative of -s**5/20 + 9*s**4/2 + 37*s**3/2 - 37*s**2. Factor f(m).
-3*(m - 37)*(m + 1)
Let a(c) = c - 29. Let b be a(19). Let n be b/(-28)*(-12)/45*-3. Suppose 12/7*i**3 + 0*i + n*i**4 + 0 + 18/7*i**2 = 0. Calculate i.
-3, 0
Let t(w) be the third derivative of -w**6/320 - 111*w**5/160 + 225*w**4/64 - 113*w**3/16 + 2*w**2 + 18. Suppose t(q) = 0. Calculate q.
-113, 1
Let m be -11 + 20 + -9 + 6. Let g(s) be the second derivative of 1/9*s**4 + 4*s + 0*s**2 - 1/30*s**5 + 0*s**3 - 5/63*s**7 + 0 - 8/45*s**m. Factor g(a).
-2*a**2*(a + 1)**2*(5*a - 2)/3
Suppose 0 = -9*m + 23 + 4. Suppose -3*n**2 + 18*n**3 + 9*n - 9*n**2 - 15*n**m = 0. Calculate n.
0, 1, 3
Suppose 7 = 4*m - 5. Suppose -3*b - 12 = -m*x, -3*x - 3*b - 16 = -7*x. Determine o so that -20*o**x + 7*o**4 + 5*o**2 - 10*o**3 + 18*o**4 = 0.
0, 1
Let f be ((-39)/2)/(-3) + 2/(-4). Let z be (2/3)/(2/f). Factor 1/5*v - 2/5*v**z + 1/5.
-(v - 1)*(2*v + 1)/5
Let f(i) be the second derivative of 1/90*i**5 + 1/54*i**4 - 1/27*i**3 - 1/9*i**2 - i + 0. Find z, given that f(z) = 0.
-1, 1
Let b(r) be the first derivative of -4 - 3/4*r**3 - 7/24*r**4 - 1/2*r**2 - 6*r. Let a(f) be the first derivative of b(f). Factor a(y).
-(y + 1)*(7*y + 2)/2
Suppose 0 = -3*v - 6 + 33. Let p = 13 - v. Let 13*j - 16*j + p - 6*j**2 + 3*j**3 + 2 = 0. What is j?
-1, 1, 2
Let j(o) = -2*o**2 - 2*o**2 + 1 + 5*o**2 - 2*o + 0. Let k be j(3). Factor -16*v**3 - 6*v**2 + 9*v**3 + 5*v**3 - k*v.
-2*v*(v + 1)*(v + 2)
Determine c, given that 36*c**2 - 19*c**3 + 40*c**3 + 7*c**3 - 40 + 4*c**4 - 28*c = 0.
-5, -2, -1, 1
Suppose 2*i - 4 + 6 = 0, 9 = 2*d - 5*i. Let -4 + 4*n**3 + 0*n**4 + 6*n**4 + 2*n - 2*n**5 - 16*n**d + 12*n - 2*n**4 = 0. What is n?
-2, 1
Determine z so that -2*z**5 + 92*z**2 - 3347*z - 112 + 20*z**4 + 106*z**3 + 6655*z - 3412*z = 0.
-2, -1, 1, 14
Let v = -40/343 + 1572/1715. Factor 1/5*n**5 + 0*n + 0 + v*n**2 + 8/5*n**3 + n**4.
n**2*(n + 1)*(n + 2)**2/5
Let l(y) = y**3 - y**2 - 1. Let n be l(2). Factor 18*u**2 - u**n + 3*u**3 + u**3 - 6*u**2 + 9*u.
3*u*(u + 1)*(u + 3)
Let j = -44 + 48. What is m in 38*m**j - 9*m**5 + 69*m**2 + 56*m**2 + 4*m**5 - 3*m**4 - 80*m + 20 - 95*m**3 = 0?
1, 2
Let d(x) be the second derivative of -x**4/54 - 46*x**3/27 + 47*x**2/9 - 31*x + 9. Find k such that d(k) = 0.
-47, 1
Let h be (13 - 17)*(-2)/4. Factor -13*n + n**2 + 3*n**2 + 15 - 7*n + n**h.
5*(n - 3)*(n - 1)
Let f(q) be the third derivative of -12*q**2 - 1/84*q**8 - 1/2*q**4 + 0*q**7 - 4/3*q**3 + 0*q + 2/15*q**6 + 0 + 2/15*q**5. What is j in f(j) = 0?
-1, 1, 2
Let m(z) be the first derivative of 2*z**3/21 - 18*z**2/7 - 38*z/7 - 355. Factor m(a).
2*(a - 19)*(a + 1)/7
Let g(h) = 111*h - 7770. Let y be g(70). Find z such that 33/2*z**3 - 27/4*z**5 - 9/4*z**4 + y + 2*z - 11*z**2 = 0.
-2, 0, 1/3, 2/3
Let g(q) be the third derivative of -1/60*q**4 + 0*q - 36*q**2 + 1/50*q**5 - 2/15*q**3 + 1/300*q**6 - 1/525*q**7 + 0. What is x in g(x) = 0?
-1, 1, 2
Let r be 14/6 + (-12)/(-18). Factor 5*h**r + 18*h**2 + 11*h**2 + 11*h**2 + 80*h.
5*h*(h + 4)**2
Let q be (3 + 37/(-14))*36/10. Let x = 4/79 - -446/553. Determine p, given that 3/7*p**3 + 0*p**2 - x - q*p = 0.
-1, 2
Let z(r) = 2*r**2. Suppose y + 1 = -4. Let l(c) = -120*c + 4*c**2 + 120*c. Let b(x) = y*z(x) + 2*l(x). Find t such that b(t) = 0.
0
Let v(a) be the third derivative of 2*a**5/25 + 29*a**4/40 - 6*a**3/5 - 46*a**2 - 2*a. Factor v(w).
3*(w + 4)*(8*w - 3)/5
Let k(b) = 10*b**5 + 6*b**4 - 26*b**3 + 10*b. Let q(r) = -r**5 - r**4 + r**3 + r. Let p(c) = -k(c) - 6*q(c). Determine w, given that p(w) = 0.
-2, -1, 0, 1, 2
Let u be (12/(-42))/((-180)/504). Factor -2/5 - u*p - 2/5*p**2.
-2*(p + 1)**2/5
Let v = -9/2 - -19/4. Let o(j) be the first derivative of 3/2*j**2 + j + v*j**4 - 7 + j**3. Solve o(c) = 0.
-1
What is h in 80 + 235*h + 0 + 4708*h**4 - 4713*h**4 + 65*h**3 + 225*h**2 = 0?
-1, 16
Factor -26*f - 3*f**2 + 19*f**2 - 14*f - 2*f**3 + 32.
-2*(f - 4)*(f - 2)**2
Let k(c) be the second derivative of -1/21*c**4 + 1/147*c**7 + 2/105*c**6 + 0 - 1/21*c**3 + 0*c**2 + 0*c**5 + 22*c. Factor k(r).
2*r*(r - 1)*(r + 1)**3/7
Let l(f) be the second derivative of -f**5/90 - f**4/9 - f**3/3 - 3*f**2/2 + 11*f. Let j(u) be the first derivative of l(u). Factor j(g).
-2*(g + 1)*(g + 3)/3
Solve 96/7*s + 64/7 + 10/7*s**4 - 6/7*s**3 - 164/7*s**2 = 0 for s.
-4, -2/5, 1, 4
Let i(g) be the third derivative of 0 + 2/39*g**4 + 0*g + 20*g**2 + 1/390*g**5 + 16/39*g**3. Factor i(d).
2*(d + 4)**2/13
Let n(m) be the second derivative of m**4/96 + 9*m**3/16 + 63*m**2/8 + 2*m - 132. Let n(c) = 0. What is c?
-21, -6
Let c(s) be the second derivative of 3*s**6/2 - 43*s**5/4 - 80*s**4/3 - 10*s**3 + 37*s + 2. Suppose c(a) = 0. What is a?
-1, -2/9, 0, 6
Let u(l) be the third derivative of l**8/112 + 19*l**7/35 + 279*l**6/20 + 972*l**5/5 + 12393*l**4/8 + 6561*l**3 + 37*l**2 + 2. What is o in u(o) = 0?
-9, -2
Let v(g) = 11*g**3 + 14*g**2 - 98*g + 73. Let c(q) = 24*q**3 + 26*q**2 - 197*q + 147. Let b(o) = 3*c(o) - 7*v(o). Suppose b(f) = 0. What is f?
-7, 1, 2
Suppose -14*h**2 - 14*h**2 + 12*h - 8*h**2 - 3*h**3 + 27*h + 0*h**3 = 0. What is h?
-13, 0, 1
Let j be (-114)/(-22) - 2/11. Suppose 0*i - 3*i = b - 5, j*i + 5 = -5*b. Solve 42*d**3 - i*d + 80*d**2 + 23*d - 7*d**3 = 0 for d.
-2, -2/7, 0
Determine m, given that 1/4*m**4 + 0 + 7/4*m**2 + 5/4*m**3 + 3/4*m = 0.
-3, -1, 0
Let p be ((-36)/(-16) - 1)*(9 - (-333)/(-45)). Solve 0 - 1/7*x - 3/7*x**3 - 1/7*x**4 - 3/7*x**p = 0 for x.
-1, 0
Let a(f) = 35*f**4 - 20*f**3 - 15*f. Let p(n) = -5*n - 9*n**4 + 14*n**4 + 3*n - 3*n**3 + 0*n. Let t(v) = 2*a(v) - 15*p(v). Factor t(r).
-5*r**3*(r - 1)
Factor 10/3*g + 5/6*g**2 - 25/6.
5*(g - 1)*(g + 5)/6
Suppose -6*u = -4*u - 4. Find p, given that 24*p**4 - 33*p**u - 66*p**3 + 48*p - 5 - 6 + 2 + 0 = 0.
-1, 1/4, 1/2, 3
Let u(z) be the first derivative of -z**4/16 + 5*z**3/12 - 3*z**2/8 - 9*z/4 + 162. Solve u(g) = 0 for g.
-1, 3
Let u(w) be the third derivative of -w**6/120 + 13*w**5/10 - 507*w**4/8 - 187*w**2 - w. Factor u(m).
-m*(m - 39)**2
Let t(d) be the third derivative of -d**6/280 + d**5/20 - d**4/7 - 8*d**3/7 - 36*d**2. Determine o, given that t(o) = 0.
-1, 4
Let l(x) be the third derivative of 0*x + 0 + 1/20*x**5 + 3/8*x**4 - 7*x**2 + 0*x**3. Let l(z) = 0. Calculate z.
-3, 0
Let h = -3 + 6. Let l(s) = s - h*s**2 - 6*s - 2 - 3*s + 3*s**3. Let o(f) = 3*f**3 - 3*f**2 - 9*f - 3. Let z(j) = 6*l(j) - 5*o(j). Factor z(m).
3*(m - 1)**2*(m + 1)
Let m be 2/3 + ((-400)/24 + 8 - -8). Let 0*p + m + 0*p**2 + 2/5*p**3 = 0. Calculate p.
0
Factor 1/2*v**4 - 15/2*v**3 - 9*v**2 + 0 + 16*v.
v*(v - 16)*(v - 1)*(v + 2)/2
Determine k so that -67*k**3 - 70*k**3 + 133*k**3 + 2*k**4 - 6*k**2 = 0.
-1, 0, 3
Let y(u) be the third derivative of -1/4*u**4 + 1/105*u**7 - 18*u**2 + 1/30*u**5 + 0 - 2/3*u**3 + 1/20*u**6 + 0*u. Factor y(o).
2*(o - 1)*(o + 1)**2*(o + 2)
Let z be (2/(-6))/(1/(-3)). Let y = -7611 + 30447/4. Factor 5/4*q - z + y*q**2 + 1/4*q**4 - 5/4*q**3.
(q - 4)*(q - 1)**2*(q + 1)/4
Let n(k) be the second derivative of -k**5/10 + 3*k**4/2 + 12*k**3 + 569*k. Factor n(j).
-2*j*(j - 12)*(j + 3)
Let b(i) = 10*i**4 - 15*i**3 - 15*i**2 - 10*i + 10. Let f(n) = 5*n**4 - 7*n**3 - 8*n**2 - 4*n + 4. Let v(z) = -2*b(z) + 5*f(z). Factor v(g).
5*g**2*(g - 2)*(g + 1)
Let m(k) be the first derivative of -2*k**3 + 28*k**2 + 40*k - 142. Determine i, given that m(i) = 0.
-2/3, 10
Suppose -1 = -z, 3 = 4*k + 7*z - 4*z. Determine t, given that 2*t**2 + k*t**2 - 1148*t + 1152*t = 0.
-2, 0
Let r(b) be the third derivative of b**7/1050 - b**6/600 - b**5/50 + b**4/30 + 4*b**3/15 - 244*b**2. What is p in r(p) = 0?
-2, -1, 2
Let d(m) be the third derivative of -m**5/330 - 2*m**4/33 + 3*m**3/11 - 14*m**2. Factor d(w).
-2*(w - 1)*(w + 9)/11
Let x(u) be the second derivative of u**8/13440 - u**7/3360 + u**6/2880 - 16*u**3/3 - 32*u. Let w(o) be the second derivative of x(o). Factor w(t).
t**2*(t - 1)**2/8
Let t(x) be the first derivative of -6*x**2 + 11 + 18*x - x - 5*x + x**3. Factor t(v).
3*(v - 2)**2
Let z(l) be the third derivative of 0*l**3 + 0 + 0*l + 0*l**4 - 1/20*