/15 + 11*a**5/15 + 4*a**4/3 - 23*a**3/9 - 2*a + 198. Determine i so that d(i) = 0.
-1, 0, 1, 23
Let u(z) be the second derivative of 0*z**2 + 15*z - 1/6*z**6 + 9/4*z**5 - 5/14*z**7 + 5/3*z**3 + 0 + 15/4*z**4. Let u(a) = 0. What is a?
-1, -1/3, 0, 2
Let g(u) be the second derivative of 0*u**3 - 1/80*u**5 + 0*u**2 + 0 + 1/48*u**4 + 11*u. Factor g(q).
-q**2*(q - 1)/4
What is s in 7*s**2 + 36 - 3*s**2 - 6499*s + 6475*s = 0?
3
Let z(f) be the first derivative of f**6/1800 + f**5/300 + f**4/120 + 10*f**3/3 + 3. Let h(b) be the third derivative of z(b). Solve h(s) = 0.
-1
Let j = -53335 + 53340. Let 1/6*l**j + 1/6 + 1/6*l - 1/3*l**3 + 1/6*l**4 - 1/3*l**2 = 0. What is l?
-1, 1
Suppose 3*k - 53 = -0*k + 5*b, 2*k = -5*b + 77. Factor 2 + 12*i**2 - 29*i + 63*i + 8*i**3 + 2*i**4 - k*i.
2*(i + 1)**4
Let k = 50 - 48. Let h(l) be the second derivative of 0*l**k + 1/27*l**3 + 0*l**5 + 0 - 2*l + 1/27*l**4 - 2/135*l**6 - 1/189*l**7. Determine s so that h(s) = 0.
-1, 0, 1
Let r(a) be the third derivative of a**7/630 - a**6/120 + a**4/18 + a**2 - 5*a. Factor r(i).
i*(i - 2)**2*(i + 1)/3
Solve 14/15*d**2 - 2/5*d**3 + 2/15 - 2/3*d = 0 for d.
1/3, 1
Let p = -20474/5 + 4095. Determine x so that 0*x + 0 + p*x**3 + 1/5*x**2 = 0.
-1, 0
Suppose g = 29 - 19. Suppose 8*i = 3*i + g. Factor 4/3 + 1/3*j**i - 4/3*j.
(j - 2)**2/3
Let t(i) be the first derivative of -10*i**3/3 + 10*i**2 + 30*i - 8. Let u(f) = 5*f**2 - 10*f - 15. Let p(a) = -3*t(a) - 5*u(a). Determine d so that p(d) = 0.
-1, 3
Suppose -22*x + 125 = 3*x. Let j(i) be the third derivative of 1/60*i**x + 0 + 0*i + 1/6*i**3 + 1/12*i**4 - 6*i**2. Factor j(d).
(d + 1)**2
Let z = -2/153 - -53/153. Let d be 6/((-75)/675 - 166/(-36)). Determine v, given that -z*v**2 + 0 - d*v = 0.
-4, 0
Let q be (-1)/12*-54 + -4*(2 - 1). Find z such that -1/10*z**2 - q*z - 2/5 = 0.
-4, -1
Let z(d) = 7*d**4 + 17*d**3 + 39*d**2 + 49*d + 2. Let t(i) = i**4 - i**2 + i - 2. Let w(g) = 6*t(g) - z(g). Solve w(f) = 0.
-14, -1
Let c be -3*(-5)/(-30)*2. Let p be -1 + 4 + c + 5/(-3). Find k such that 0*k + p*k**3 - 1/3*k**2 + 0 = 0.
0, 1
Let y(p) be the third derivative of 0*p + 2/15*p**5 + 2/3*p**3 - 1/60*p**6 - 5/12*p**4 + 0 + 3*p**2. Factor y(c).
-2*(c - 2)*(c - 1)**2
Let y(j) be the second derivative of j**8/224 - j**7/70 - 3*j**6/80 + j**5/10 + j**4/4 - 3*j**2 + 9*j. Let p(q) be the first derivative of y(q). Factor p(d).
3*d*(d - 2)**2*(d + 1)**2/2
Let x(o) be the third derivative of -o**9/3024 + o**8/336 - o**7/168 + o**4/3 - 6*o**2. Let g(t) be the second derivative of x(t). What is c in g(c) = 0?
0, 1, 3
Let u(d) = -d**3 - 2*d**2 + 2*d + 1. Let b be u(-3). Factor 6*x**b - 29*x + 2*x - 17*x**2 - 21*x**3 - 28*x**2 - 9*x**4.
-3*x*(x + 1)*(x + 3)**2
Solve -5598 - 3*o**2 + 288*o + 0*o**2 - 2890 + 1765 - 189 = 0 for o.
48
Let o = -612 - -616. Let k(a) be the first derivative of 2/3*a**3 + 1/5*a**5 + a**o - 2*a**2 - 3*a - 5. Factor k(b).
(b - 1)*(b + 1)**2*(b + 3)
Let g(o) be the first derivative of o**6/195 - o**5/65 - o**4/26 - 26*o - 19. Let b(x) be the first derivative of g(x). Let b(l) = 0. What is l?
-1, 0, 3
Let a(m) be the third derivative of 0*m**4 + 26*m**2 + 0*m + 2/35*m**7 - 1/112*m**8 + 0*m**3 + 0*m**5 - 3/40*m**6 + 0. Factor a(z).
-3*z**3*(z - 3)*(z - 1)
Let c(d) be the third derivative of -13*d**6/720 + 7*d**5/90 - 17*d**4/144 + d**3/18 + 5*d**2 + 2. Suppose c(v) = 0. What is v?
2/13, 1
Let u(k) = -8*k**2 + 48*k + 130. Let f be u(8). What is n in 1/8*n + 0 - 1/8*n**f = 0?
0, 1
Let g(m) = -56*m**4 + 3*m**3 + 43*m**2 - 29*m - 13. Let v(h) = 14*h**4 - h**3 - 11*h**2 + 7*h + 3. Let w(u) = 6*g(u) + 26*v(u). Factor w(j).
4*j*(j - 1)*(j + 1)*(7*j - 2)
Let y = 12/7 - 172/133. Factor -2/19 - 14/19*h - 26/19*h**3 - 30/19*h**2 - y*h**4.
-2*(h + 1)**3*(4*h + 1)/19
Let u = -610 + 610. Let b(g) be the third derivative of 0*g**4 + 0*g + 1/210*g**5 - 1/21*g**3 + u + 3*g**2. Factor b(t).
2*(t - 1)*(t + 1)/7
Let y(o) be the second derivative of -o**6/135 + o**5/18 - o**4/9 - 2*o + 342. Determine w so that y(w) = 0.
0, 2, 3
Let l(d) = 8*d - 4. Let y = 0 + 3. Suppose 5*q = y*q - 8. Let v(z) = -z**2 + 8*z - 3. Let u(s) = q*v(s) + 3*l(s). Let u(c) = 0. Calculate c.
0, 2
Let f(i) be the second derivative of i**5/60 - i**4/4 + 23*i**3/18 - 5*i**2/2 - 132*i. Determine t, given that f(t) = 0.
1, 3, 5
Let d be (-4 + 14/3)/((-1)/(-6)). Let j(t) be the first derivative of 6 - 26/9*t**3 + 2/3*t**2 + 10/3*t**d + 0*t. Determine a so that j(a) = 0.
0, 1/4, 2/5
Solve 33*b**4 + 14*b**5 + 4*b**3 + 2*b**3 + 19*b**5 - 38*b**5 + 32*b**5 = 0 for b.
-1, -2/9, 0
Let z(j) be the third derivative of -7/6*j**4 - 20/3*j**3 - 1/15*j**5 - 4*j**2 + 0*j + 2. Factor z(m).
-4*(m + 2)*(m + 5)
Factor 60*m**4 - 176*m**4 + 2*m**5 - 57*m**3 + 171*m**3.
2*m**3*(m - 57)*(m - 1)
Let l(h) be the third derivative of -h**8/840 + h**7/210 - h**6/180 - h**3/6 - 11*h**2. Let o(c) be the first derivative of l(c). Factor o(n).
-2*n**2*(n - 1)**2
Let w(c) be the first derivative of 8/3*c**3 + 1/2*c + 5 + 2*c**2. Factor w(y).
(4*y + 1)**2/2
Let r(g) be the first derivative of -g**4/16 + g**3/2 - 3*g**2/2 + 2*g - 666. Factor r(u).
-(u - 2)**3/4
Factor 10*l**3 + 20*l - 37*l**2 - 3*l**4 - 16*l**2 + 18*l**2 + 8*l**4.
5*l*(l - 1)**2*(l + 4)
Suppose 4*d = 3*k + 22, 31*k = 5*d + 32*k - 18. Let o(j) be the first derivative of -11 - 1/3*j**3 + 0*j + 1/4*j**d - j**2. Suppose o(l) = 0. What is l?
-1, 0, 2
Let o(w) be the second derivative of 1/10*w**5 + 0 + 1/15*w**6 + 0*w**3 - 25*w + 0*w**2 - 1/6*w**4 - 1/21*w**7. Factor o(a).
-2*a**2*(a - 1)**2*(a + 1)
Let c be (-17)/68 + (-119)/4. Let u(s) = s**2 - s + 1. Let o(v) = 5*v**3 - 35*v**2 + 20*v - 30. Let x(l) = c*u(l) - o(l). Factor x(m).
-5*m*(m - 2)*(m + 1)
Factor -110*l**2 + 55*l**2 - 8 + 4*l + 4*l + 53*l**2.
-2*(l - 2)**2
Let w = -1596 - -1601. Let r(c) be the first derivative of -2/9*c**3 + 0*c + 0*c**2 + 2/15*c**w + 0*c**4 - 14. Factor r(u).
2*u**2*(u - 1)*(u + 1)/3
Let x(f) be the first derivative of -f**3/3 + 15*f**2/2 - 26*f + 74. Find p, given that x(p) = 0.
2, 13
Suppose -18*l + 12 = -12*l. Let y(x) be the first derivative of -2 - 1/2*x**4 + 0*x**l + 2/3*x**3 + 0*x. Factor y(b).
-2*b**2*(b - 1)
Let a(c) be the third derivative of 1/42*c**4 + 0*c + 0 + 1/70*c**5 + c**2 + 0*c**3 + 1/420*c**6. Factor a(j).
2*j*(j + 1)*(j + 2)/7
Let d be (-161)/(10/2 + 16/(-4)). Let w = -159 - d. Find l such that -w*l + 1/2*l**2 + 3/2 = 0.
1, 3
Let m = 4299 + -21492/5. Factor m*l**2 - 12/5*l + 12/5.
3*(l - 2)**2/5
Let w(f) be the third derivative of f**6/120 - f**5/5 + 2*f**4 + 8*f**3/3 - 23*f**2. Let d(z) be the first derivative of w(z). Find u, given that d(u) = 0.
4
Let b be (11/((-99)/30))/((-4)/102). Suppose 2*f - b + 81 = 0. Factor -2/9 + 10/9*a - 8/9*a**f.
-2*(a - 1)*(4*a - 1)/9
Determine d, given that -37*d + 163*d - 41*d - 2*d**2 - 32*d - 45*d = 0.
0, 4
Factor 75/8*r + 21/4*r**2 + 3/8*r**3 + 9/2.
3*(r + 1)**2*(r + 12)/8
Factor 0 + 0*v + 2/9*v**4 + 0*v**2 - 2/9*v**3.
2*v**3*(v - 1)/9
What is i in 377*i**2 + 5 + 78*i**4 + 423*i**3 + 3*i**5 + 3 + 588*i - 8 - 1469*i**2 = 0?
-14, 0, 1
Find r such that -928/9*r**2 - 1/9*r**5 - 784/9 - 37/9*r**3 - 1652/9*r + 22/9*r**4 = 0.
-4, -1, 14
Let k = -252 + 257. Let j(a) be the third derivative of 0 + k*a**2 - 1/8*a**4 + 0*a - 1/20*a**5 - 1/120*a**6 - 1/6*a**3. Factor j(x).
-(x + 1)**3
Solve -29645/4 - 385/2*z - 5/4*z**2 = 0.
-77
Let a(h) = -3*h**3 - 35*h**2 - 98*h. Let p be a(-7). Factor -1/8*m**4 + 0*m**3 + 1/8*m**2 + p*m + 0.
-m**2*(m - 1)*(m + 1)/8
Let c(z) = 3*z**2 - 6*z**3 + 0*z**2 - 7*z**2 + 2 + 0*z**2 + z**4 + 2*z. Let g(n) = -n**4 + n**3 - n - 1. Let t = 20 - 18. Let w(s) = t*g(s) + c(s). Factor w(q).
-q**2*(q + 2)**2
Let y(g) be the second derivative of -g**5/10 - 5*g**4/6 - 298*g. Factor y(n).
-2*n**2*(n + 5)
Let x(z) be the first derivative of z**3/9 - z**2/2 - 18*z - 624. Factor x(h).
(h - 9)*(h + 6)/3
Suppose 5*l + 105 = 5*g, -38 + 134 = 5*g - 2*l. Let q be g/(-2)*(-10)/30. Factor -2 - 4*w**q + 4*w + 7 + 3*w**4 - 7 - w**4.
2*(w - 1)**3*(w + 1)
Let k(u) be the first derivative of -5*u**4/4 + 20*u**3/3 - 25*u**2/2 + 10*u - 339. Solve k(g) = 0.
1, 2
Let t(m) be the second derivative of -m**8/2520 - m**7/252 - 7*m**6/540 - m**5/60 + m**3/3 + 14*m. Let c(q) be the second derivative of t(q). Factor c(j).
-2*j*(j + 1)**2*