2 - 2/7*m**i.
-2*m*(m + 1)*(m + 2)/7
Suppose 4*z - 3*p = 52, -5*z + 46 = -2*z - 4*p. Let x(s) be the first derivative of z + 0*s**2 - 2/5*s + 2/15*s**3. Factor x(d).
2*(d - 1)*(d + 1)/5
Let n(b) be the first derivative of -b**4/16 + b**3/3 - b**2/2 + 115. Suppose n(v) = 0. What is v?
0, 2
Let u(s) be the second derivative of -s**7/42 + 2*s**6/5 - 47*s**5/20 + 13*s**4/3 + 8*s**3 - 32*s**2 - 6*s + 4. Factor u(j).
-(j - 4)**3*(j - 1)*(j + 1)
Let i(k) be the third derivative of 0*k**3 + 0 + 14*k**2 + 0*k - 1/4*k**4 + 1/30*k**5. Suppose i(r) = 0. Calculate r.
0, 3
Suppose 0 = -3*t + 4*x - 11 - 29, 2*x = 4*t + 50. Let n(k) = -3*k + 12. Let h be n(t). Suppose 41*s + 23*s + 168*s**2 + h*s**3 + 9 + 11*s = 0. Calculate s.
-3, -1/4
Let l(r) be the third derivative of -r**8/252 + 2*r**7/315 + r**6/45 - 2*r**5/45 - r**4/18 + 2*r**3/9 - 98*r**2. Factor l(d).
-4*(d - 1)**3*(d + 1)**2/3
Let c(d) be the second derivative of 2/9*d**3 - 1/45*d**6 + 10*d + 0*d**4 + 0 + 1/3*d**2 - 1/15*d**5. Find f, given that c(f) = 0.
-1, 1
Let c(v) be the third derivative of v**5/140 + v**4/28 - 12*v**3/7 - 4*v**2 + 4*v. Factor c(k).
3*(k - 4)*(k + 6)/7
Suppose 5*t = -4*o - 4, -4*t + 8*o + 3 = 5*o. Suppose 2*z + 2 = t, -2*z = 2*i + 10 - 14. Factor 2/5*c**2 + 0*c - 2/5*c**i + 0.
-2*c**2*(c - 1)/5
Let q = -3316/7 + 474. Let y be 1/2*(2 + -2). Find v such that 2/7*v**2 + y*v - q = 0.
-1, 1
Let t(x) be the second derivative of x**4/54 + 17*x**3/27 - 115*x. Suppose t(p) = 0. Calculate p.
-17, 0
Let v(t) be the third derivative of t**5/270 - t**4/9 - 219*t**2. Suppose v(x) = 0. What is x?
0, 12
Let x = 1964 - 1964. Let 0*g**2 + 3/2*g**4 - 9/2*g**5 + 0 + 0*g + x*g**3 = 0. Calculate g.
0, 1/3
Let g(z) be the third derivative of 25*z**8/336 - z**7/3 + 23*z**6/40 - 7*z**5/15 + z**4/6 - 4*z**2 + z. Factor g(q).
q*(q - 1)**2*(5*q - 2)**2
Let a = -7/174 - -3761/1218. Let i(q) be the second derivative of -2*q**2 + 9*q**3 - 133/6*q**4 - 7*q + a*q**7 + 0 + 142/5*q**5 - 16*q**6. Factor i(b).
2*(b - 2)*(b - 1)*(4*b - 1)**3
Let o be 3 - 4/(-1 - 3). Factor -3*w**3 + w**2 + w - 4*w**3 + 0*w**o - w**4 + 6*w**3.
-w*(w - 1)*(w + 1)**2
Let v be (12 + -9)/(2/2). Let 7*o**2 + 5*o**5 - 7*o**4 - 3*o**4 - 5*o**3 + v*o**2 = 0. What is o?
-1, 0, 1, 2
Let v(u) be the third derivative of u**5/120 + 25*u**4/48 - 5*u**2 - 7*u. Find a, given that v(a) = 0.
-25, 0
Suppose 0 - 6/13*c**4 - 2*c**3 + 30/13*c**2 + 0*c + 2/13*c**5 = 0. Calculate c.
-3, 0, 1, 5
Let f(g) be the second derivative of -g**7/70 + g**6/20 + g**5/20 - g**4/4 - 29*g**2/2 + 16*g. Let u(h) be the first derivative of f(h). What is r in u(r) = 0?
-1, 0, 1, 2
Suppose -9 = -2*j + t, -6*t + 2*t + 4 = 0. Suppose 4 = j*x - 6. Let 0*v**2 - 4*v**3 + v**3 + 3*v + 0*v**x = 0. Calculate v.
-1, 0, 1
Let p(y) = y**3 + 11*y**2 + 11*y + 12. Suppose -3*m = -15, -i - m - 15 = i. Let n be p(i). Factor 1/3*g**3 + 1/6*g**5 - 1/2*g**4 + 0*g + 0*g**n + 0.
g**3*(g - 2)*(g - 1)/6
Suppose -6/5 + 3/5*f**3 + 6/5*f**2 - 3/5*f = 0. What is f?
-2, -1, 1
Suppose -90*w + 93*w = 15. Let o(i) be the second derivative of 1/30*i**4 + w*i**2 - 8*i - 2/3*i**3 + 0. Solve o(h) = 0.
5
Determine d so that -260*d + 16 + 32 - 3*d**2 + 305*d = 0.
-1, 16
Let s = 0 - -5. Factor -3*j**3 + 9*j**2 + s*j + j**2 - j**2 - 11*j.
-3*j*(j - 2)*(j - 1)
Let q(f) be the third derivative of -f**6/180 + 7*f**5/45 - 65*f**4/36 + 100*f**3/9 - 18*f**2. Factor q(v).
-2*(v - 5)**2*(v - 4)/3
Let v(g) be the second derivative of -1/360*g**5 + 0*g**3 + 0 + 3/2*g**2 + g - 1/72*g**4 + 1/720*g**6. Let j(q) be the first derivative of v(q). Factor j(h).
h*(h - 2)*(h + 1)/6
Suppose 0 = 358*h - 361*h - 9. Let b be 4/(-3)*4*h/6. Factor b - 6*c + 4/3*c**2.
2*(c - 4)*(2*c - 1)/3
Let o = -5 + 10. Suppose 0 = -o*v + 9 + 1. Determine g, given that 4*g**4 - 2*g**4 - 8*g**3 + 5*g**v + 3*g**2 = 0.
0, 2
Let m be 5/2*(-12)/(-60). Let n = 29 - 53/2. Solve m*x**2 - n*x**3 + 2*x**4 + 0*x + 0 = 0.
0, 1/4, 1
Suppose -14*u + 5*u - 26 = -22*u. Let 2*a**3 + 0 + 2/3*a**4 - 2/3*a**u - 2*a = 0. What is a?
-3, -1, 0, 1
Let t(l) be the first derivative of 4 + 5*l**3 + 3*l**2 + 3*l**4 + 3/5*l**5 + 0*l. Let t(z) = 0. Calculate z.
-2, -1, 0
Let s be ((-4)/112)/((-14)/56). Factor 0 + 1/7*i**4 + 3/7*i**3 + s*i + 3/7*i**2.
i*(i + 1)**3/7
Let s(c) be the first derivative of c**9/1512 + c**8/210 + c**7/84 + c**6/90 + 2*c**3 + 17. Let j(k) be the third derivative of s(k). Solve j(h) = 0.
-2, -1, 0
Let v(b) be the third derivative of -b**6/24 - b**5/4 - 5*b**4/12 - 486*b**2. Factor v(m).
-5*m*(m + 1)*(m + 2)
Let r(j) = -j**3 - 19*j**2 + 6. Let q be r(-19). Factor 0*a**2 + a**4 - 2*a**4 + 8*a - 20*a**2 - q*a**4 - 26*a**3.
-a*(a + 2)**2*(7*a - 2)
Let y(v) be the first derivative of -v**3/3 + 7*v**2 - 13*v + 64. Suppose y(t) = 0. What is t?
1, 13
Factor 60/11*h**2 - 2/11*h**4 - 16/11*h**3 + 2 - 64/11*h.
-2*(h - 1)**3*(h + 11)/11
Suppose -12*h + 9*h = -1206. Let z = 2016/5 - h. Find u, given that -4/5*u**3 + z*u**4 + 6/5*u - 2/5*u**5 - 4/5*u**2 - 2/5 = 0.
-1, 1
Let j(n) = 24*n**2 - 2*n - 4. Let t be j(-2). Factor 54 + 9*a**3 + 1994 + 486*a + t*a**2 + 282*a - 5*a**3.
4*(a + 8)**3
Let w(l) = 4*l**4 - 9*l**3 - 7*l**2 - l + 3. Let x(s) = 4*s**4 - 10*s**3 - 6*s**2 - 2*s + 2. Let t(f) = 6*w(f) - 5*x(f). Solve t(k) = 0 for k.
-1, 1, 2
Let y(d) be the first derivative of 4/3*d**3 - 4/5*d**5 - 15 + 0*d + 2*d**2 - d**4. Factor y(t).
-4*t*(t - 1)*(t + 1)**2
Let t(r) be the first derivative of 2*r**3/3 + 27*r**2 - 56*r + 68. Factor t(i).
2*(i - 1)*(i + 28)
Suppose -145*z + 151*z = 0. Let n(x) be the second derivative of x + 1/20*x**5 + 0*x**3 + z*x**2 + 0 - 1/24*x**4 - 1/60*x**6. Factor n(p).
-p**2*(p - 1)**2/2
Let v(d) be the first derivative of d**3/3 - 3*d**2 + 9*d - 43. Factor v(u).
(u - 3)**2
Let h(r) = 0*r + r - 24 + 6 + r. Let v be h(12). Solve -6*o**2 - 3*o + 3*o**3 - o + o - v*o**3 = 0 for o.
-1, 0
Let b(u) be the first derivative of -u**6/30 - u**5/3 - u**4/2 + 6*u**3 + 4*u**2 - 8. Let j(d) be the second derivative of b(d). Factor j(h).
-4*(h - 1)*(h + 3)**2
Let q(t) be the second derivative of t**9/1680 - t**8/560 - t**7/840 + t**6/120 - 7*t**4/6 + 23*t. Let v(w) be the third derivative of q(w). Factor v(l).
3*l*(l - 1)**2*(3*l + 2)
Suppose 27*j = -o + 29*j, 5*j = 4*o - 3. Factor -2*q**3 - 2/3*q**5 - 2*q**4 + 0*q + 0 - 2/3*q**o.
-2*q**2*(q + 1)**3/3
Let i(g) be the second derivative of 18*g**7/35 - 78*g**6/25 + 291*g**5/100 + 141*g**4/10 - 18*g**3 - 60*g**2 - 9*g. Factor i(y).
3*(y - 2)**3*(6*y + 5)**2/5
Let u be (-2)/((-10)/(-3) - 4). Solve -11*x**u - 20*x**2 + 15*x**5 + x**3 + 347*x + 20*x**4 - 352*x = 0 for x.
-1, -1/3, 0, 1
Let f be (-3451)/58*3/(-21). Determine d so that -5/2*d**3 + f*d**2 + 0 - 3*d = 0.
0, 2/5, 3
Let h(m) be the first derivative of m**8/5040 + m**7/2520 - m**6/540 - 4*m**3 - 49. Let z(l) be the third derivative of h(l). Factor z(v).
v**2*(v - 1)*(v + 2)/3
Let m(c) be the first derivative of -c**4/8 - 17*c**3/6 - 22*c**2 - 72*c + 23. Solve m(l) = 0.
-9, -4
Let n(x) be the first derivative of 1/24*x**3 - 1/8*x + 0*x**2 + 12. Suppose n(f) = 0. Calculate f.
-1, 1
Determine n, given that -2/5*n**2 + 0 + 4/5*n - 6/5*n**3 = 0.
-1, 0, 2/3
Let d(v) = -2*v - 34. Let p be d(-19). Let g(w) be the second derivative of -w + 0 + 0*w**2 + 7/48*w**p + 1/12*w**3. Factor g(c).
c*(7*c + 2)/4
Let y(a) = -220*a**2 + 1220*a - 852. Let z(r) = 40*r**2 - 222*r + 155. Let o(n) = -5*y(n) - 28*z(n). Solve o(c) = 0 for c.
4/5, 5
Let 108*q**2 - 84*q**2 - 375*q - 19*q**2 = 0. What is q?
0, 75
Let t be -2 + 1 - (-4 - -3). Suppose -2*q - q = t. Factor -2*z**3 + 2*z + 2*z**2 + 0*z**2 - 2 + q*z**2.
-2*(z - 1)**2*(z + 1)
Let x(w) be the second derivative of -w**4/6 - 2*w**3/3 - w**2 - 2*w + 3. Determine g so that x(g) = 0.
-1
Factor 1/3*w**3 - 23/3*w**2 - 51 + 37*w.
(w - 17)*(w - 3)**2/3
Let a(v) be the first derivative of 8*v**6/5 - 6*v**5/5 - 7*v**4/4 - v**3/2 - 36*v + 20. Let d(j) be the first derivative of a(j). Solve d(q) = 0 for q.
-1/4, 0, 1
Suppose 3*a = 2*a. Suppose 0 = 3*m - a*m - 27. Solve -1 + m + 8*x + 2*x**2 - 1 + 1 = 0.
-2
Let d(i) be the first derivative of 0*i - 28 + 0*i**2 + i**3 + 3/4*i**4. Factor d(p).
3*p**2*(p + 1)
Let b(q) be the second derivative of -q**4/3 + 4*q**3 - 18*q**2 + 9*q - 6. Factor b(z).
-4*(z - 3)**2
Let p(q) = -q**2 - q. Let l(h) = 2