-4*r**3 - 12*r**h + 3*r**3 - 16 + 3*r**3 + 24*r = 0. Calculate r.
2
Let i(x) be the second derivative of -2*x**7/7 - 13*x**6/15 + 2*x**5 + 5*x**4/3 - 14*x**3/3 + 3*x**2 - 2*x + 14. Solve i(l) = 0.
-3, -1, 1/3, 1/2, 1
Let h(d) be the first derivative of d**7/210 - d**6/30 + 2*d**4/3 + 16*d**3/3 + 21. Let f(b) be the third derivative of h(b). Factor f(k).
4*(k - 2)**2*(k + 1)
Suppose -3*z - 32 = 5*d - 143, 51 = 2*d - z. Suppose -d*s = -31*s + 28. Factor 0 - 2*x**s + 10/7*x**3 + 4/7*x**2 + 0*x.
-2*x**2*(x - 1)*(7*x + 2)/7
Let i(l) = -3*l**4 - 6*l**3 + 3*l**2 - 3*l. Let p(m) = m**4 + 3*m**3 - m**2 + m. Let y(b) = -4*i(b) - 9*p(b). Determine x so that y(x) = 0.
-1, 0, 1
Let t(l) = 0*l**2 - 4*l + l**2 - 4*l**2. Let b(j) = j**2 + j. Let d(q) = 12*b(q) + 3*t(q). Determine u, given that d(u) = 0.
0
Suppose -3*f = 6, -5*s + f + 35 = -4*s. Let g = 36 - s. Solve 2*z**3 + 4*z + 2*z**4 - z**2 - z**2 + 2*z**3 - 8*z**g = 0 for z.
-1, 0, 1, 2
Let q(g) = -5*g**2 + 15*g - 15. Let r(a) = 6*a**2 - 16*a + 14. Let y(m) = -4*q(m) - 3*r(m). Find j, given that y(j) = 0.
3
Let k(c) be the first derivative of -c**6/240 + 3*c**5/40 - 9*c**4/16 - 10*c**3/3 + 12. Let b(r) be the third derivative of k(r). Factor b(o).
-3*(o - 3)**2/2
Let h(r) be the first derivative of r**5/30 - 7*r**4/3 + 196*r**3/3 - 51*r**2/2 + 39. Let w(s) be the second derivative of h(s). Let w(i) = 0. What is i?
14
Let y(z) be the third derivative of z**6/80 + 4*z**5/15 + 95*z**4/48 + 25*z**3/6 + 16*z**2 - 2. Factor y(i).
(i + 5)**2*(3*i + 2)/2
Let y = -2/14393 - -460594/129537. Factor -14/9*r**3 + y*r + 0 - 16/9*r**2 - 2/9*r**4.
-2*r*(r - 1)*(r + 4)**2/9
Let i(p) be the second derivative of -p**4/3 + 41*p**3/6 - 5*p**2 + 73*p. Let i(n) = 0. Calculate n.
1/4, 10
Let h be (-3)/4*48/(-135). Factor -2/5*y - 2/15*y**2 - h.
-2*(y + 1)*(y + 2)/15
Let x(m) be the second derivative of 3*m + 1/60*m**5 + 1/6*m**2 - 1/36*m**4 - 1/18*m**3 + 0. Find c such that x(c) = 0.
-1, 1
Let l(s) = -3*s - 10. Let u(f) = -f - 18. Let v be u(-14). Let h be l(v). Let 0 + 0*b**3 + 0*b - 1/3*b**4 + 1/3*b**h = 0. What is b?
-1, 0, 1
Let w(c) = 1. Let i(u) = -u**3 - u**2 + 10*u - 12. Let x(s) = -i(s) - 4*w(s). Suppose x(y) = 0. Calculate y.
-4, 1, 2
Let d = -26 - -28. What is p in -10 - 29*p**2 - 35*p**d - 26*p**2 - 65*p + 4*p**4 + 65*p**3 + 96*p**4 = 0?
-1, -2/5, -1/4, 1
Suppose 7*j = 4*j - 2*z + 10, 2*j = -2*z + 8. Let h(m) be the first derivative of 0*m**3 - 8 - j*m**2 - 2*m + 2/5*m**5 + m**4. Factor h(y).
2*(y - 1)*(y + 1)**3
Factor -6*p + 2*p - 47 - 2*p**2 + 53 - 3*p**2 + 3*p**2.
-2*(p - 1)*(p + 3)
Let h(b) be the second derivative of b**5/20 - b**3/2 - b**2/2 - 10*b. Let j(w) be the first derivative of h(w). Determine y so that j(y) = 0.
-1, 1
Let u be (-136)/(-960) - (-2)/16. Let d(m) be the first derivative of -4/5*m - 6 + 2/5*m**2 - 1/5*m**4 + u*m**3. Factor d(c).
-4*(c - 1)**2*(c + 1)/5
Let n(t) be the first derivative of 2*t**5/15 - t**4/2 + 4*t**3/9 + 23. Let n(z) = 0. Calculate z.
0, 1, 2
Let m(w) be the first derivative of w**6/4 + 27*w**5/10 + 9*w**4 + 10*w**3 - 62. What is a in m(a) = 0?
-5, -2, 0
Let l = 102 - 107. Let x(s) = 8*s**2 + 112*s + 387. Let u(p) = 52*p**2 + 728*p + 2516. Let z(f) = l*u(f) + 32*x(f). Factor z(b).
-4*(b + 7)**2
Let d(m) be the second derivative of m**7/126 - 2*m**6/45 - 19*m**5/60 - 7*m**4/18 + 13*m - 2. Factor d(c).
c**2*(c - 7)*(c + 1)*(c + 2)/3
Let -x - x**3 + 11*x**2 - 25 + 5*x + 45*x**2 - 31 - 3*x**3 = 0. Calculate x.
-1, 1, 14
Let m(d) = 6*d**2 - d - 3. Let n be m(-1). Let w(g) be the second derivative of 1/90*g**5 - 1/27*g**3 + 0*g**n + 4*g + 0*g**2 + 0. Factor w(i).
2*i*(i - 1)*(i + 1)/9
Let t(f) be the third derivative of -f**8/448 - f**7/60 - f**6/60 - 3*f**2. Factor t(k).
-k**3*(k + 4)*(3*k + 2)/4
Determine o, given that 4/9*o**2 - 2/9*o**4 - 8/3*o + 2/3*o**3 + 16/9 = 0.
-2, 1, 2
Let d(q) be the first derivative of -5/3*q**3 - 45*q - 9 - 15*q**2. Suppose d(p) = 0. What is p?
-3
Suppose 22 = -2*g - m + 25, -3*g + 12 = 4*m. Let h(n) be the second derivative of -1/42*n**4 + 0*n**3 + 2*n + 0 + g*n**2. Factor h(f).
-2*f**2/7
Let t(d) be the first derivative of -2*d**5/45 + 4*d**4/9 - 34*d**3/27 + 10*d**2/9 - 608. Determine h, given that t(h) = 0.
0, 1, 2, 5
Suppose 3*b - 5*q + 59 = 0, -4*b + 0*q + 3*q = 86. Let w = b - -31. Factor 4*v**3 + w*v**2 + 3*v - 3*v + 0*v.
4*v**2*(v + 2)
Suppose -15/7*o - 8/7*o**2 + 0 - 1/7*o**3 = 0. Calculate o.
-5, -3, 0
Let s(f) = -f**3 - f**2 + f + 8. Let v be s(0). Suppose -4*w = -4*x + v, -x = 3*w - 9 - 1. Factor -4*n - 8/3 + 20/3*n**w.
4*(n - 1)*(5*n + 2)/3
Let r(l) = -13*l**4 + 31*l**3 - 30*l**2 + 14*l - 2. Let c(f) = 14*f**4 - 32*f**3 + 30*f**2 - 14*f + 2. Let h(v) = -5*c(v) - 6*r(v). Factor h(m).
2*(m - 1)**3*(4*m - 1)
Let t(r) be the third derivative of r**7/630 + r**6/120 - 7*r**5/180 - 5*r**4/24 + r**3 + 114*r**2. Let t(v) = 0. Calculate v.
-3, 1, 2
Suppose 293 = -4*g + 313. Let 23/6*c**3 + 1/6 - 8/3*c**g + 7/6*c**2 - 7/6*c - 4/3*c**4 = 0. Calculate c.
-1, 1/4, 1
Let m be 1 + (-4)/9 + -3 + (-400)/(-90). Let 0 - 6/19*d + 2/19*d**m = 0. Calculate d.
0, 3
Let g be 63/(((-3)/12)/((-2)/8)). Let b be ((-15)/27)/(-5) - (-11)/g. Suppose 0*a + 10/7*a**3 + 4/7*a**2 + b*a**5 + 0 + 8/7*a**4 = 0. Calculate a.
-2, -1, 0
Let w(u) be the third derivative of -u**7/280 - u**6/8 - 9*u**5/20 + 218*u**2. Suppose w(c) = 0. What is c?
-18, -2, 0
Let a be 26/39*3/2 + 1. Factor k**2 - 1 + 489*k - 487*k - 2*k**a.
-(k - 1)**2
Let b be (-15)/(((-27)/15)/3). What is p in -5*p**3 + 2*p - 137*p + 20*p**2 + b*p**2 + 135 = 0?
3
Let u(s) be the second derivative of -s**5/15 + s**4 - 6*s**3 + s**2 + 13*s. Let v(x) be the first derivative of u(x). What is c in v(c) = 0?
3
Let l(n) be the third derivative of n**8/84 - 2*n**3/3 + 4*n**2. Let s(z) = -1. Let v = -4 - -8. Let a(b) = v*s(b) - l(b). Let a(g) = 0. Calculate g.
0
Solve -43 + 43 - 2*k**2 + 537*k - 542*k = 0.
-5/2, 0
Let d be 2/6*0/(-7 - -9). Let o(y) be the first derivative of d*y + 5 + 3/4*y**4 + 0*y**2 + y**3. Let o(w) = 0. Calculate w.
-1, 0
Let j(b) = 3*b - 18. Let m be j(4). Let p(o) = -9*o**2 + 6*o + 6. Let l(f) = -f**2 + 0*f**2 - 1 + 0*f**2. Let r(z) = m*l(z) - p(z). Factor r(t).
3*t*(5*t - 2)
What is a in -468*a**4 - 164*a**2 + 800*a**3 + 216*a**4 - 24*a + 40*a**2 = 0?
-1/9, 0, 2/7, 3
Let i(r) be the second derivative of -r**7/1260 + r**6/90 + r**5/12 - 7*r**4/12 - 4*r. Let j(h) be the third derivative of i(h). Suppose j(n) = 0. What is n?
-1, 5
Let c be (-1 - 6)/(168/(-432)*3). Let f(g) be the second derivative of 1/2*g**5 + 0 + 0*g**2 + 7/6*g**c + 12*g - 35/12*g**4 - 5/3*g**3. What is y in f(y) = 0?
-1, -2/7, 0, 1
Let r = -696 - -698. Factor 2/9*m + 4/9*m**r - 4/9*m**4 + 0*m**3 + 0 - 2/9*m**5.
-2*m*(m - 1)*(m + 1)**3/9
Let a(m) be the first derivative of -24*m - 987/4*m**4 - 41 - 250*m**3 - 114*m**2 - 441/5*m**5. Let a(v) = 0. What is v?
-1, -2/3, -2/7
Let q(y) be the third derivative of -y**7/4200 + y**6/1800 + y**3/3 - 5*y**2. Let z(x) be the first derivative of q(x). Find d such that z(d) = 0.
0, 1
Suppose -10*a = -56 + 16. Suppose 0 = 3*f - l - a, 5*f - l = -1 + 5. Factor f + 2/15*s**2 - 2/15*s**4 - 2/15*s**3 + 2/15*s.
-2*s*(s - 1)*(s + 1)**2/15
Let p be ((-2)/(-10))/(((-28)/10)/7) - -2. Factor 0 - p*j + 3/2*j**3 + 0*j**2.
3*j*(j - 1)*(j + 1)/2
Let a(i) = i**2 - 10*i + 26. Let p be a(6). Suppose -2*j + 5*t + 29 = 0, 28 = -p*j + 6*j - 4*t. Factor 4/5*m - 2/5*m**j + 0.
-2*m*(m - 2)/5
Let w(l) be the first derivative of -21/2*l**2 - 3/4*l**4 + 5*l**3 + 9*l + 2. Determine g, given that w(g) = 0.
1, 3
Let i = 433 - 431. Factor 0*d**3 - 2/11*d**i + 0 + 0*d + 2/11*d**4.
2*d**2*(d - 1)*(d + 1)/11
Factor -6*h**2 + 2/3*h**4 + 16/3 - 14/3*h**3 + 14/3*h.
2*(h - 8)*(h - 1)*(h + 1)**2/3
Let s be 0 + 3 - (-3690)/(-54). Let k = s + 66. Factor 0 - 4*o**3 - 8/3*o**4 - k*o - 2/3*o**5 - 8/3*o**2.
-2*o*(o + 1)**4/3
Let u = -2464 - -12328/5. Factor 0 + 2/5*d**2 - u*d.
2*d*(d - 4)/5
Let 38 + 132 - 5*f**2 + 1043*f - 878*f = 0. What is f?
-1, 34
Let k(f) be the second derivative of f**4/32 - 15*f**3/16 - 51*f**2/8 + 262*f. Factor k(a).
3*(a - 17)*(a + 2)/8
Solve -3*g**4 + 30*g**3 + 45444*g**2 + 24*g - 45495*g**2 + 0*g**4 = 0 for g.
0, 1, 8
Factor 4 + 20*f**2 - 10*f - 3*f**2 - 16*f**2 + 6*f**3 - 6*f**2 - 3*f**2.
2*(f - 2)*(f + 1)*(