6/30 - 7*a**5/20 + a**4/2 - 147*a. Suppose w(m) = 0. What is m?
0, 1, 6
Let x(s) be the first derivative of 8*s**5/105 + 2*s**4/21 + s**3/21 + 6*s**2 - 5. Let v(f) be the second derivative of x(f). Factor v(z).
2*(4*z + 1)**2/7
Let s(y) = 5*y**3 - 4*y**2 + 5*y - 6. Suppose k = 9 - 4. Let g(w) = -w**3 + w**2 - w + 1. Let i(p) = k*s(p) + 30*g(p). Factor i(x).
-5*x*(x - 1)**2
Let u be 3*1/2*1448/543. Factor u*w + 6 + 2/3*w**2.
2*(w + 3)**2/3
Let l(q) = 352*q**3 + 455*q**2 + 80*q + 4. Let x(a) = a**3 - 2*a**2. Let i(z) = -2*l(z) - 18*x(z). Determine c so that i(c) = 0.
-1, -2/19
Let r(v) be the first derivative of 0*v + 3/2*v**2 + 12 + v**3. Factor r(a).
3*a*(a + 1)
Factor -3/5*b**3 + 12*b - 24/5*b**2 + 0.
-3*b*(b - 2)*(b + 10)/5
Suppose -i = -2*b - 12, -5*b + 6 = 31. Let j(c) be the first derivative of 1/12*c**4 - 4/3*c**3 - 64/3*c + 4 + 8*c**i. Factor j(q).
(q - 4)**3/3
Let q(b) be the third derivative of 2*b**6/15 + 104*b**5/15 + 101*b**4/6 + 50*b**3/3 + 155*b**2 - 2. Factor q(w).
4*(w + 25)*(2*w + 1)**2
Factor i**4 + 6 - 5*i**3 + 111*i**2 + 5*i - 62*i**2 - 56*i**2.
(i - 6)*(i - 1)*(i + 1)**2
Let y(z) be the first derivative of -24*z**5/5 - 2421*z**4/2 - 2415*z**3/2 - 7239*z**2/16 - 603*z/8 + 269. Solve y(k) = 0.
-201, -1/4
Let s be (-9)/(-312)*7*(-24)/(-270). Let g(l) be the third derivative of 3*l**2 - 3/13*l**3 - s*l**5 - 5/52*l**4 + 0*l - 1/780*l**6 + 0. Factor g(y).
-2*(y + 1)*(y + 3)**2/13
Let i(z) be the second derivative of -63*z**7/2 - 357*z**6/10 + 12*z**5 - z**4 + 14*z + 2. Factor i(p).
-3*p**2*(p + 1)*(21*p - 2)**2
What is j in 140/3*j - 47 + 1/3*j**2 = 0?
-141, 1
Let v(n) be the first derivative of n**8/10920 + n**7/1820 - n**5/195 - 26*n**3/3 + n - 14. Let p(t) be the third derivative of v(t). Factor p(r).
2*r*(r - 1)*(r + 2)**2/13
Solve -26*r**2 + 2*r**3 - 3736 + 1884 - 2*r + 1878 = 0.
-1, 1, 13
Let j(u) be the third derivative of -u**6/270 - u**5/30 - 17*u**3/6 - 4*u**2. Let k(a) be the first derivative of j(a). Find z, given that k(z) = 0.
-3, 0
Let g(k) be the second derivative of -2*k**7/21 + 4*k**6/15 + k**5/5 - 2*k**4/3 - 85*k. Suppose g(f) = 0. Calculate f.
-1, 0, 1, 2
Let z be 5/10*(4 - -2). Suppose -64*y - 153*y**2 - 80*y**z - 83*y**2 - 12*y**4 + 92*y**2 = 0. Calculate y.
-4, -2, -2/3, 0
Let v be 5 - (5 + 0 - (-45)/(-54)). Find w, given that 3/2*w + v*w**3 + 2*w**2 + 1/3 = 0.
-1, -2/5
Let f(a) be the first derivative of 3*a**5/25 - 3*a**3/5 + 3*a**2/5 + 11. Factor f(x).
3*x*(x - 1)**2*(x + 2)/5
Let s(p) be the third derivative of p**5/135 + p**4/54 - 8*p**3/9 - 15*p**2. Suppose s(u) = 0. Calculate u.
-4, 3
Let z(o) be the second derivative of 0 + 2/9*o**2 - 5/27*o**3 + 37*o + 2/27*o**4 - 1/90*o**5. Find y such that z(y) = 0.
1, 2
Let c(m) be the second derivative of 0 - 3/2*m**5 + 113/24*m**4 - m**2 + 4/3*m**3 + 36*m. Find u, given that c(u) = 0.
-1/4, 2/15, 2
Let a(b) = b**3 + b**2 - 3*b - 1. Let w(l) = -4*l**4 + 322*l**3 - 7354*l**2 + 25602*l - 24330. Let i(t) = -6*a(t) - w(t). Find y, given that i(y) = 0.
2, 39
Suppose -8*d + 6*d = -10. Find q, given that -2 - 2 - q - d + 3 + q**2 = 0.
-2, 3
Factor -4*t + 1/2*t**2 + 6.
(t - 6)*(t - 2)/2
Let s = -735 + 735. Determine v, given that s - 2/15*v**2 - 2/15*v = 0.
-1, 0
Suppose 4 = 946*s - 942*s. Find x, given that 1/3*x**2 - s - 2/3*x = 0.
-1, 3
Suppose -1 = h - 6. Suppose -h*y - 5*g + 10 = 0, 0*y + 10 = -y + 5*g. Suppose 1/4*f + f**2 + 3/4*f**3 + y = 0. What is f?
-1, -1/3, 0
Let m(a) = 2*a**2 - 2*a. Let k(h) = 13*h**2 - 14*h - 8. Let j(r) = -k(r) + 6*m(r). Factor j(n).
-(n - 4)*(n + 2)
Determine j so that -152/21*j - 166/21*j**3 + 0 + 64/3*j**2 - 10/21*j**4 = 0.
-19, 0, 2/5, 2
Find y such that 4/3*y**2 + 48*y + 432 = 0.
-18
Let z(t) be the second derivative of 1/90*t**6 - 1/60*t**5 + 1/3*t**2 + 1/18*t**3 - 2*t - 1/12*t**4 + 0. Suppose z(q) = 0. What is q?
-1, 1, 2
Let z(w) be the second derivative of -5*w**4/12 - 85*w**3/6 - 40*w**2 + 19*w + 8. Solve z(l) = 0.
-16, -1
Let i = -97 + 42. Let k be i/(-100) - (-1)/5. Solve 1/2*n + 0 - k*n**2 + 1/4*n**3 = 0.
0, 1, 2
Let z(x) = -8 - 1 + 12*x + 8*x**2 - 1 - 2*x**3 - 14*x. Let p(r) = r**4 - r**3 - r**2 - r - 1. Let f(d) = -4*p(d) + 2*z(d). Suppose f(l) = 0. What is l?
-2, -1, 1, 2
Let i be ((-2)/63)/((-113)/1017). Solve 12/7 - i*b**2 - 2/7*b = 0 for b.
-3, 2
Let y(n) be the first derivative of 4*n**3/3 - 282*n**2 + 560*n - 442. Factor y(v).
4*(v - 140)*(v - 1)
Let r(x) = -2*x**2 + 2. Let v(l) = -45*l**2 - 120*l - 75. Let u(p) = 20*r(p) - v(p). Determine k so that u(k) = 0.
-23, -1
Let h(a) be the first derivative of 96*a + 8*a**2 + 2/9*a**3 + 48. Factor h(m).
2*(m + 12)**2/3
Find i, given that 27/4*i**4 - 27/2*i - 117*i**3 + 0 - 321/4*i**2 = 0.
-1/3, 0, 18
Suppose 5 + 1 = -4*f + 2*p, 5*f - 4*p = 0. Let d(z) = z**3 + 6*z**2 + 8*z. Let o be d(f). Solve -2/5*i - 8/5*i**2 + o = 0.
-1/4, 0
Factor 52/3*j + 154/9 + 2/9*j**2.
2*(j + 1)*(j + 77)/9
Let k = -29 - -31. Factor 352 + b - b**3 - 352 - b**4 + b**k.
-b*(b - 1)*(b + 1)**2
Suppose 8*r**3 - 28*r - 192*r**2 - 2*r**4 - r**4 + 153*r**2 + 10*r - 32*r**3 = 0. Calculate r.
-6, -1, 0
Let a = -27 - -36. Suppose 0 = -6*x + 9 + a. Factor -v**2 + 0*v + 0 - 1/2*v**4 + 3/2*v**x.
-v**2*(v - 2)*(v - 1)/2
Suppose 106 - 160 = 209*q - 890. Solve -28/5*t + 28/5*t**3 + 24/5 - 4/5*t**4 - q*t**2 = 0 for t.
-1, 1, 6
Let k be (-4)/(-6) + 88/12. What is u in -2*u**2 - k - 5*u - 4*u - u = 0?
-4, -1
Factor 2/7*p**3 - 94/7*p**2 - 408/7 - 400/7*p.
2*(p - 51)*(p + 2)**2/7
Let d(k) = -k**2 - 2*k + 3. Let c be d(0). Let x(w) = 2*w**2 + 3*w - 8. Let g(f) = -f**2 - 4*f + 7. Let u(n) = c*g(n) + 2*x(n). Factor u(s).
(s - 5)*(s - 1)
Let i(c) be the first derivative of -8/9*c + 1 - 1/18*c**4 + 2/27*c**3 + 4/9*c**2. Factor i(j).
-2*(j - 2)*(j - 1)*(j + 2)/9
Let r be ((-892)/12)/((-3)/9 - -1). Let u = r - -112. Factor -u*b**2 - 9/2 + 3*b.
-(b - 3)**2/2
Let l(j) = -j - 10. Suppose 64 = -4*v + 12. Let g be l(v). Suppose -4*k + 12 - 11*k + g*k + 3*k**2 = 0. What is k?
2
Let j(v) be the first derivative of 5/24*v**6 + 0*v + 0*v**4 + 7/4*v**5 + 0*v**2 - 31 + 0*v**3. Factor j(u).
5*u**4*(u + 7)/4
Let h(x) be the second derivative of x**7/120 + 3*x**6/160 - x**5/20 - x**4/24 - 2*x**2 + 3*x. Let b(p) be the first derivative of h(p). Factor b(d).
d*(d - 1)*(d + 2)*(7*d + 2)/4
Let i(l) = 93*l**2 + 2238*l - 375. Let v(m) = -23*m**2 - 561*m + 94. Let a(p) = -5*i(p) - 21*v(p). What is f in a(f) = 0?
-33, 1/6
Let r(n) = n**3 + 10*n**2 - 6*n - 9. Let x(c) = -c**2 + 2*c + 3. Let t(y) = r(y) + 3*x(y). Solve t(b) = 0.
-7, 0
Find h such that -2/7*h**5 + 0 + 0*h**4 + 6/7*h - 16/7*h**2 + 12/7*h**3 = 0.
-3, 0, 1
Determine b so that 12/7*b**4 + 48/7*b - 36/7*b**2 - 8/7*b**3 - 16/7 = 0.
-2, 2/3, 1
Factor 1075/2*u**2 + 845/4 - 115/4*u**4 + 235/2*u**3 + 2405/4*u + 5/4*u**5.
5*(u - 13)**2*(u + 1)**3/4
Let n(w) be the first derivative of 0*w + 3/2*w**2 - 10 + 1/3*w**3. Suppose n(d) = 0. What is d?
-3, 0
Let c(s) be the first derivative of -s**4/4 + 13*s**3/3 + 102. Solve c(m) = 0 for m.
0, 13
Let p = 239/264 - 21/88. Factor 0 - 1/3*g**3 - g**2 - p*g.
-g*(g + 1)*(g + 2)/3
Factor 361*b**3 - 367*b**3 + 189 + 3*b**4 - 46*b - 49*b + 5*b - 96*b**2 + 0*b**4.
3*(b - 7)*(b - 1)*(b + 3)**2
What is h in 39 - 27/4*h - 3/4*h**2 = 0?
-13, 4
Let f(y) be the third derivative of -y**6/300 - y**5/75 - y**4/60 + 224*y**2. Find r, given that f(r) = 0.
-1, 0
Suppose 142*j - 221 - 76 + 13 = 0. Suppose 0*q - 12 = 4*q, 5*c - 12 = 4*q. Suppose 6/7*u**4 + c*u - 6/7*u**j + 0 + 9/7*u**3 = 0. Calculate u.
-2, 0, 1/2
Let g(z) = 5*z - 34. Let m be g(7). Let o be 121/154 - ((-1)/(-2))/m. Find p, given that 0*p + 0*p**2 + 2/7*p**4 - o*p**3 + 0 = 0.
0, 1
Suppose 0 = 3*q + 91 + 14. Let g be q/231 + ((-21)/(-9) - 2). Suppose -2/11*m**2 + 0 + 2/11*m + g*m**4 - 2/11*m**3 = 0. Calculate m.
-1, 0, 1
Let 48/7*r + 0 - 9/7*r**3 + 66/7*r**2 - 24/7*r**4 + 3/7*r**5 = 0. What is r?
-1, 0, 2, 8
Suppose 5*d - 2*y - 22 = 0, 2*y - 10 = -10*d + 7*d. Let v(x) be the first derivative of 2 - 1/16*x**d - 1/20*x**5 + 0*x + 0*x**2 + 1/6*x**3. Factor v(a).
-a**2*(a - 1)*(a + 2)/4
Let u(k) = k**4 - k**3 + k**2 + 1. Let m(t) = -35*t**5 + 190*t**4 - 350*t**3 + 220*t**2 - 5*t - 40. Let a(b) = -m(b) - 10*u(b). Factor a(z).
5*(z - 3)*(z - 1)**3*(7*z + 2)
Determine r, given that 1/6 + 1/2*r - 1/2*r**3 - 1/6*r