 the first derivative of 7/4*q**2 + 6 - 1/3*q**m - 2*q - 1/8*q**4. Factor p(s).
-(s - 1)**2*(s + 4)/2
Let x(a) be the first derivative of -6/5*a**2 + 0*a - 4/5*a**3 - 13 - 3/20*a**4. Factor x(m).
-3*m*(m + 2)**2/5
Let v(j) be the first derivative of -26/27*j**3 - 11/9*j**2 + 21 + 4/9*j. Find r, given that v(r) = 0.
-1, 2/13
Suppose -5*l + 6 = -3*j - 1, 0 = 4*j - 4. Let h(n) be the second derivative of 0*n**3 + 0 + 1/4*n**l - 1/24*n**4 + 4*n. Factor h(s).
-(s - 1)*(s + 1)/2
Let t be 3/(-1) - (-60)/6. Let y(h) be the second derivative of 0*h**2 - 1/18*h**3 + 1/126*h**t + 0*h**5 + 1/45*h**6 + 0 - 1/18*h**4 - 10*h. Factor y(w).
w*(w - 1)*(w + 1)**3/3
Let r = 3356 - 26843/8. Suppose -r*x - 1/2*x**2 - 1/4 - 1/8*x**3 = 0. Calculate x.
-2, -1
Let p be 181/(-28) + (9 - 3) + 3/4. Solve 4/7*m**2 + p*m**5 + 0 - 4/7*m**4 - 2/7*m**3 + 0*m = 0.
-1, 0, 1, 2
Let a(y) be the third derivative of -y**7/735 - 13*y**6/420 - 2*y**5/7 - 4*y**4/3 - 64*y**3/21 - 27*y**2. Find c, given that a(c) = 0.
-4, -1
Let m be 72/60 - 285/300. Suppose 0 - f**2 + f + m*f**3 = 0. Calculate f.
0, 2
Factor 0 - 51/5*v**2 - 63/5*v**3 - 9/5*v + 27/5*v**4.
3*v*(v - 3)*(3*v + 1)**2/5
Let z(d) be the first derivative of 250/11*d + 1/22*d**4 - 16 + 75/11*d**2 + 10/11*d**3. Determine j so that z(j) = 0.
-5
Let n(s) = -s**3 + 2*s**2 + 6*s + 1. Let v be n(3). Let t be 54/90 - 4/v. Determine h, given that 0 - 1/5*h**2 - t*h = 0.
-1, 0
Suppose -10 - 2 = -6*x. Let r be (x - 3)/(2/(-8)*2). Solve 3/5*f**3 - 6/5*f**r - 3/5*f + 6/5 = 0.
-1, 1, 2
Suppose 19*w + 27 = 28*w. Determine a so that -1/7*a**2 - 6/7*a + 1/7 + 6/7*a**w = 0.
-1, 1/6, 1
Let f = 213 - 1483/7. Let r(x) be the first derivative of f*x - 4 - 4/7*x**2 + 2/21*x**3. Factor r(n).
2*(n - 2)**2/7
Let t = 2/559 + 543/4472. Let s(b) be the third derivative of 0*b - 1/40*b**5 + 4*b**2 + 1/32*b**4 + t*b**3 + 0. Find n, given that s(n) = 0.
-1/2, 1
Find k such that 6*k**2 - 8/15 - 176/15*k = 0.
-2/45, 2
Factor 7*g + 4/3*g**3 + 8*g**2 + 5/3.
(g + 5)*(2*g + 1)**2/3
Let c(f) be the second derivative of 2*f**6/15 + 6*f**5/5 - 4*f**4/3 - 16*f**3 + 113*f. Solve c(w) = 0.
-6, -2, 0, 2
Suppose -8*o + 12 + 12 = 0. Factor 143*c + 21*c**3 - 36*c**o - 18*c + 50*c**2 + 20*c**3.
5*c*(c + 5)**2
What is m in 16*m - 48 - m**4 + 1/2*m**5 - 33/2*m**3 + 49*m**2 = 0?
-6, -1, 1, 4
Factor 5 + 25/2*k**3 + 45/2*k**2 + 5/2*k**4 + 35/2*k.
5*(k + 1)**3*(k + 2)/2
Suppose -3*a - 1 = -4*r + 9, r = 3*a + 7. Let k be 0*(-3 - -5)/a. Factor k*x**3 + 1/2*x**5 + 0 - x**2 + x**4 - 1/2*x.
x*(x - 1)*(x + 1)**3/2
Let g = 46 - 44. Factor 3*m**g + 3*m**5 - 308*m**4 - 3*m**3 + 305*m**4 + 0*m**2.
3*m**2*(m - 1)**2*(m + 1)
Let q(c) = 4*c**3 + 6*c**2 - 2. Let r(n) = 13*n**3 + 19*n**2 - n - 7. Let t be 34/(-4) + 42/28. Let b(o) = t*q(o) + 2*r(o). Solve b(y) = 0 for y.
-1, 0
Let j(f) = -f**2 - 71*f - 1258. Let v be j(-34). Factor -5*o**4 - 5/2*o**5 + 0*o**3 + v*o + 0 + 0*o**2.
-5*o**4*(o + 2)/2
Suppose 3*d + 352 = 2*g, 3*g + 1 = -11. Let k be ((-2)/(-14))/((-30)/d). Factor -2/7 - k*p - 2/7*p**2.
-2*(p + 1)**2/7
Let v(b) = -9*b**4 + b**3 + 4*b**2. Let z(x) = -28*x**4 + 4*x**3 + 12*x**2. Let t be 16/20*(-50)/4. Let c(r) = t*v(r) + 3*z(r). Suppose c(q) = 0. Calculate q.
-1, 0, 2/3
Let v(k) be the first derivative of k**4/6 + 32*k**3/9 - 41*k**2 + 132*k - 264. Factor v(a).
2*(a - 3)**2*(a + 22)/3
Let l(n) be the third derivative of 0*n + 0*n**5 - 1/360*n**6 + 1/630*n**7 + 26*n**2 + 0 + 0*n**3 + 0*n**4. Factor l(y).
y**3*(y - 1)/3
Suppose -d - 12 = -0*d. Let w = -10 - d. Factor -3*j**3 + 2*j**4 + 0*j**4 - j**2 + 3*j**w - j**3.
2*j**2*(j - 1)**2
Let m(v) = -v**3 + 5*v**2 - 4*v - 4. Let d be m(3). Determine n so that n**2 - 2*n**5 - 4*n + 2*n**4 - 2*n**d - n**2 - 4*n**3 + 10*n**3 = 0.
-1, 0, 1, 2
Factor 39/5*w**2 - 8*w + 1/5*w**3 + 0.
w*(w - 1)*(w + 40)/5
Find d such that -65*d - 35/4*d**5 - 40*d**2 + 295/4*d**3 + 20 + 20*d**4 = 0.
-2, -1, 2/7, 1, 4
Suppose 3*z - 3*d = 288, -3*z - z - d + 394 = 0. Suppose -z = -11*a + 4*a. What is w in -4*w**3 - 4*w**5 + a*w**2 - 8*w**2 + 6*w**2 - 12*w**4 + 8*w = 0?
-2, -1, 0, 1
Factor -12*g**2 - 54*g - g**3 + 54*g.
-g**2*(g + 12)
Let m(c) be the first derivative of c**7/280 + c**6/540 - 31*c**3/3 - 3. Let p(d) be the third derivative of m(d). Solve p(i) = 0 for i.
-2/9, 0
Let f = -94/189 + 52/27. Let -2/7*s**2 + 0 - f*s**3 + 2/7*s - 6/7*s**4 = 0. What is s?
-1, 0, 1/3
Let m(h) be the first derivative of -h**3/3 - 7*h**2/2 + 40. Solve m(a) = 0 for a.
-7, 0
Let q = -18 + 16. Let x be 32 + 1*(-4)/q. Factor 27*m**2 - x*m + 8 + 7*m - 2.
3*(3*m - 2)*(3*m - 1)
Suppose 12/7*i**3 - 4/7*i**4 + 16/7*i**2 + 0*i + 0 = 0. Calculate i.
-1, 0, 4
Suppose -31*v + 5 = -15*v - 5*m, 0 = 2*v + m + 1. Factor 0*a - 2/7*a**3 + v + 8/7*a**2.
-2*a**2*(a - 4)/7
Factor -41*c**4 + 315*c**5 - 158*c**5 - 24*c**2 - 15*c**2 - 156*c**5 + 79*c**3.
c**2*(c - 39)*(c - 1)**2
Factor -867 - 51*r - 3/4*r**2.
-3*(r + 34)**2/4
Suppose 4*u + 6 = y, -4*u + 9*y - 24 = 5*y. Find h, given that -16/5*h - 16*h**4 + 102/5*h**3 - 4*h**2 + u + 14/5*h**5 = 0.
-2/7, 0, 1, 4
Let g(j) be the first derivative of -j**3/15 + 5*j**2 - 125*j - 54. Find c such that g(c) = 0.
25
Suppose -4*j - 1 - 3 = -4*n, 2*j + n = 10. Suppose 0 + 0*f**j + 4/9*f - 2/9*f**4 + 2/3*f**2 = 0. Calculate f.
-1, 0, 2
Let o(n) be the third derivative of -n**6/540 + 94*n**5/45 - 8836*n**4/9 + 6644672*n**3/27 + 225*n**2. Suppose o(h) = 0. Calculate h.
188
Let l(d) be the second derivative of -d**4/21 + 4*d**3/21 + 6*d**2/7 + 23*d - 6. What is k in l(k) = 0?
-1, 3
Suppose -4/7*p**2 + 10/7*p + 4/7 - 10/7*p**3 = 0. Calculate p.
-1, -2/5, 1
Let h = 20319/5 + -4063. Find y such that -h*y**2 + 0 + 2/5*y**3 + 2/5*y = 0.
0, 1
Let k(y) = -4*y + 6. Let z be k(-10). Let d = -137/3 + z. Factor -1/3*q**2 + 0 + d*q + 1/3*q**4 - 1/3*q**3.
q*(q - 1)**2*(q + 1)/3
Let r be 6/((-960)/796) + 5. Let p(s) be the second derivative of 1/12*s**4 + 0 - 2*s + 1/12*s**3 + 0*s**2 + r*s**5. Factor p(l).
l*(l + 1)**2/2
Let m(i) be the first derivative of -7*i**6/8 + 57*i**5/20 - 3*i**4/2 - i**3 - 441. What is d in m(d) = 0?
-2/7, 0, 1, 2
Let p(n) be the second derivative of 5*n**4/12 - 130*n**3 + 15210*n**2 - 17*n. Factor p(j).
5*(j - 78)**2
Let c(h) be the first derivative of h**4/6 - 104*h**3/9 - 107*h**2/3 - 36*h - 938. Factor c(u).
2*(u - 54)*(u + 1)**2/3
Let w(c) be the second derivative of c**7/315 - 2*c**6/225 + c**4/45 - c**3/45 - 27*c. Solve w(o) = 0.
-1, 0, 1
Let h(n) be the second derivative of 8*n**2 + 1/4*n**5 - 27*n + 0 - 13/3*n**3 - 37/12*n**4. Factor h(x).
(x - 8)*(x + 1)*(5*x - 2)
Let g(y) = -y**2 - 28*y - 132. Let c be g(-22). Let a(m) be the first derivative of c*m + 1/6*m**3 - 5 + 1/2*m**2. Let a(b) = 0. What is b?
-2, 0
Let t(u) be the first derivative of u**4 - 16*u**3 + 96*u**2 - 256*u - 363. Suppose t(j) = 0. Calculate j.
4
What is v in 216/5*v - 6*v**3 - 3/5*v**4 + 0 - 36/5*v**2 = 0?
-6, 0, 2
Let i(z) be the third derivative of 0*z**3 + 0*z + 3*z**2 + 1/210*z**7 + 1/40*z**6 + 1/24*z**4 + 1/20*z**5 + 0. Factor i(r).
r*(r + 1)**3
Let c(x) be the second derivative of -5*x**7/42 - 11*x**6/2 - 287*x**5/4 - 1115*x**4/12 + 240*x**3 + 640*x**2 - 326*x. Suppose c(z) = 0. Calculate z.
-16, -1, 1
Let q = -277 - -294. Let o(i) = -i**3 + 15*i**2 + 34*i. Let y be o(q). Factor y*m + 14/17*m**5 + 22/17*m**3 - 4/17*m**2 - 32/17*m**4 + 0.
2*m**2*(m - 1)**2*(7*m - 2)/17
Let x(c) be the first derivative of 676*c**5/5 - 117*c**4 - 64*c**3 - 8*c**2 - 53. Factor x(z).
4*z*(z - 1)*(13*z + 2)**2
Let t be (-2025)/(-1053) - 2/(-26). Factor 1/4*g**t - 1/4*g**3 - 1/4 + 1/4*g.
-(g - 1)**2*(g + 1)/4
Let k(b) be the second derivative of b**4/6 + 24*b**3 + 1296*b**2 - 2*b + 120. Solve k(d) = 0 for d.
-36
Let j(y) = -22*y**3 + 3*y - 3. Let d be j(3). Let l be (-4)/6 + -68*7/d. Find g, given that 3/7 - l*g**2 + 2/7*g = 0.
-1, 3
What is s in 6/7*s - 3/7*s**2 + 0 + 3/7*s**4 - 6/7*s**3 = 0?
-1, 0, 1, 2
Let x(p) be the third derivative of p**8/84 + 11*p**7/30 + 19*p**6/120 + p**2 + 33. Solve x(f) = 0 for f.
-19, -1/4, 0
Suppose 4*n - 2*y - y + 1 = 0, -3 = 2*n + y. Let t(s) = -3 + s**2 + 0 + 2 + s. Let q(w) = -3*w**2 - 7*w + 5. Let d(v) = n*q(v) - 5*t(v). What is i in d(i) = 0?
0, 1
Suppose 3*a**2 - 1/2*a**5 + 5/2*a**3 + 0 + 0*a - a**4 = 0. Calculate a.
-3, -1, 0, 2
Let g = 41264 - 371363/9. Sup