hat -1/7*q**3 + 209/7*q**2 - 208/7*q + 0 = 0.
0, 1, 208
Let n be 2/(-4) - 174/116. Let v(y) = -2 + 4 + 6*y**2 - 7 + 6*y. Let q(b) = 3*b**2 + 3*b - 2. Let c(a) = n*v(a) + 5*q(a). Solve c(f) = 0.
-1, 0
Let d(c) = -13*c**2 + 32*c - 28. Let t(u) = -12*u - 4*u + 6*u**2 + 14 + 0*u. Let f(b) = 4*d(b) + 9*t(b). Let f(a) = 0. Calculate a.
1, 7
Determine b, given that -19*b + 2*b**2 - 33*b - 6*b**2 + 78*b + 240 - 10*b = 0.
-6, 10
Find h such that 0 + 405/2*h + 5/2*h**3 + 45*h**2 = 0.
-9, 0
Let q be (-6)/(-24)*-4 - -1*1. Let r(m) be the second derivative of q*m**2 + 0 - m + 1/54*m**4 - 1/27*m**3. Suppose r(b) = 0. Calculate b.
0, 1
Let h(d) be the third derivative of -d**9/1344 + d**8/480 + d**7/560 - d**6/120 + d**5/5 + 11*d**2. Let x(f) be the third derivative of h(f). Factor x(z).
-3*(z - 1)*(3*z - 1)*(5*z + 2)
Let v(w) be the second derivative of w**7/231 - 7*w**6/165 + 7*w**5/110 + 19*w**4/66 - 16*w**3/33 - 20*w**2/11 - 69*w. Find k such that v(k) = 0.
-1, 2, 5
Let k be 4 - 4/((-4)/(-7)). Let a(x) = -15*x**2 - 230*x. Let l(o) = -2*o**2 - 33*o. Let t(w) = k*a(w) + 20*l(w). Factor t(d).
5*d*(d + 6)
Suppose 53 = -4*f + 113 - 48. Suppose 0 + 0*j**2 + 1/10*j - 1/10*j**f = 0. Calculate j.
-1, 0, 1
Find n, given that -4/3 + 2/3*n**2 + 2/3*n = 0.
-2, 1
Suppose -90 = -13*m + 3*m. Let l(p) be the third derivative of 3/2*p**4 + 0 - m*p**2 - 1/10*p**6 - 1/10*p**5 + 0*p + 1/70*p**7 + 9/2*p**3. Factor l(v).
3*(v - 3)**2*(v + 1)**2
Let m(y) be the second derivative of -y**8/5040 - y**7/2520 + y**6/540 - 2*y**3 - 6*y. Let t(f) be the second derivative of m(f). Solve t(b) = 0.
-2, 0, 1
Let m(v) be the second derivative of -4/15*v**5 + 1/3*v**4 - 1/9*v**3 + 0 - 6*v + 0*v**2. Factor m(l).
-2*l*(2*l - 1)*(4*l - 1)/3
Let c(i) = -i**2 + 54*i - 104. Let t(f) = -4*f**2 + 164*f - 312. Let x(j) = -8*c(j) + 3*t(j). Determine o, given that x(o) = 0.
2, 13
Let w(x) be the second derivative of 1/30*x**4 + 16*x + 0 + 7/15*x**3 + 6/5*x**2. Suppose w(m) = 0. Calculate m.
-6, -1
Let c(m) be the third derivative of -m**6/600 + m**5/50 - 3*m**4/40 + m**2 + 44*m. Find d, given that c(d) = 0.
0, 3
Factor -16/21*b - 2/21*b**2 - 10/7.
-2*(b + 3)*(b + 5)/21
Let u(m) be the first derivative of -m**5/4 + 5*m**3/6 - 13*m - 5. Let o(p) be the first derivative of u(p). Let o(j) = 0. Calculate j.
-1, 0, 1
Let g = 1693/2268 - -2/567. Let i(m) be the first derivative of 4 + 9/4*m + g*m**2 + 1/12*m**3. Suppose i(q) = 0. Calculate q.
-3
Factor 4*r**2 - 50*r + 1089 - 158*r - 8*r - 1139 + 17*r.
(r - 50)*(4*r + 1)
Let m(y) be the second derivative of -y**5/25 + 8*y**4/15 - 26*y**3/15 + 12*y**2/5 + 2*y + 3. Solve m(h) = 0.
1, 6
Suppose 106*b - 78*b = 56. What is u in -1/3*u**3 + 0 - 1/3*u**4 - u + 5/3*u**b = 0?
-3, 0, 1
Let z(s) be the second derivative of 0 + 1/4*s**5 + 2*s + 5/2*s**3 - 5/4*s**4 - 5/2*s**2. Find l, given that z(l) = 0.
1
Let i(x) be the third derivative of -x**9/211680 - x**8/23520 + x**6/630 + x**5/4 - 18*x**2. Let u(l) be the third derivative of i(l). Solve u(v) = 0.
-2, 1
What is w in 8 - 64/5*w - 2/5*w**4 + 4*w**3 + 6/5*w**2 = 0?
-2, 1, 10
Let i(k) be the second derivative of k**6/135 + k**5/10 + 4*k**4/27 + 2*k - 64. Find b such that i(b) = 0.
-8, -1, 0
Suppose 2*m - 11*m + 144 = 0. Let f be 6*(2 - m/6)*-1. Factor 0*o + 2/3*o**2 - 2/3*o**f + 0*o**3 + 0.
-2*o**2*(o - 1)*(o + 1)/3
Let i = 2993/90 - 133/4. Let s(y) be the second derivative of 0*y**3 - y - i*y**6 + 1/30*y**5 - 1/18*y**4 + 0 + 0*y**2. Factor s(l).
-l**2*(l - 2)**2/6
Factor -11/3*g**3 + 70/3*g**2 + 1/6*g**4 + 0 - 100/3*g.
g*(g - 10)**2*(g - 2)/6
Let r(h) = -5*h**3 - 19*h**2 + 32*h - 20. Let l(x) = 14*x**3 + 54*x**2 - 95*x + 60. Let i(j) = -4*l(j) - 11*r(j). Determine c, given that i(c) = 0.
-10, 1, 2
Factor -1284/7*j**2 + 0 + 22898/7*j**3 + 18/7*j.
2*j*(107*j - 3)**2/7
Suppose -5*g + 10 = -0*g. Suppose g*x + 2*i - 18 = 0, -3*i + 15 = 3*x - 2*x. Solve -x*u**5 + 0 + 3/2*u + 15/2*u**2 - 15/2*u**4 + 9/2*u**3 = 0.
-1, -1/4, 0, 1
Let g(k) be the first derivative of -k**6/30 + 21*k**5/25 - 39*k**4/20 + 19*k**3/15 - 629. Determine z, given that g(z) = 0.
0, 1, 19
Let n = -284 + 312. Let w be ((-216)/n)/(5/(-7)). Factor -108/5*a**3 - w*a**4 - 72/5*a**2 - 4*a - 2/5.
-2*(a + 1)*(3*a + 1)**3/5
Let k(g) = -1446*g**3 - 1980*g**2 + 1676*g - 288. Let c(w) = 2893*w**3 + 3962*w**2 - 3350*w + 576. Let d(v) = -2*c(v) - 5*k(v). Factor d(z).
4*(z + 2)*(19*z - 6)**2
Suppose -q + 0*l = -2*l - 30, 5*q - 5*l = 130. Let r = 29 - q. Factor -3*a**2 - 12*a - 2 - 5 - r + 2.
-3*(a + 2)**2
Let u(w) = 256*w - 8. Let o be u(2). Let m = 9582/19 - o. Determine t so that 0 - m*t**2 - 4/19*t + 0*t**3 + 2/19*t**4 = 0.
-1, 0, 2
Suppose 3*s = -0*s + 3. Let x(m) = 3*m**5 - 3*m**4 - 3*m**3 + 3*m**2 - 6. Let j(k) = k**3 - k**2 - k - 1. Let b(l) = s*x(l) - 3*j(l). Factor b(v).
3*(v - 1)**3*(v + 1)**2
Let d(n) be the third derivative of 2*n**7/945 - 11*n**6/1080 - 67*n**5/540 - 8*n**4/27 - 2*n**3/9 - 84*n**2. What is i in d(i) = 0?
-2, -1, -1/4, 6
Let s(t) = -t**2 + 4*t + 96. Let w be s(12). Determine v, given that 1/5*v**4 + w + 0*v + 2/5*v**3 - 3/5*v**2 = 0.
-3, 0, 1
Let k(p) be the first derivative of 6/19*p - 1/38*p**4 - 2 + 10/57*p**3 - 7/19*p**2. Factor k(i).
-2*(i - 3)*(i - 1)**2/19
Let g(x) be the third derivative of 0*x + 0*x**4 + 0*x**3 + 0 + 1/90*x**5 + 1/360*x**6 + 7*x**2. Factor g(k).
k**2*(k + 2)/3
Let h(l) be the first derivative of l**4/10 + 14*l**3/15 - 18*l**2/5 - 80. Factor h(j).
2*j*(j - 2)*(j + 9)/5
Let m be ((-175)/490)/(10/(-48)). Let -24/7*s + 16/7 - 2/7*s**3 + m*s**2 = 0. What is s?
2
Let u(q) be the second derivative of 0 - 53*q - 1/3*q**4 - 24*q**2 + 20/3*q**3 - 1/10*q**5. Factor u(i).
-2*(i - 2)**2*(i + 6)
Let f(b) be the second derivative of -b**6/6 + 5*b**4/2 - 20*b**3/3 + 15*b**2/2 + b - 7. Suppose f(c) = 0. Calculate c.
-3, 1
Let n(u) be the first derivative of 2*u**5 - u**4 - 10*u**3 - 4*u**2 + 8*u - 22. Let n(b) = 0. What is b?
-1, 2/5, 2
Let y = 378/25 + -3958/275. Factor -y*m + 0 + 2/11*m**2.
2*m*(m - 4)/11
Let c = -4166 + 29168/7. Let m be (-4)/7*(-2)/4. Suppose c + m*a**2 - 8/7*a = 0. What is a?
1, 3
Let b = -32/7 + 103/21. Suppose w = 5*f - 8 - 13, -w - 9 = -2*f. Suppose 0 + 0*r**3 + 0*r + 0*r**2 - b*r**5 - 1/3*r**f = 0. Calculate r.
-1, 0
Let m(l) be the second derivative of l**7/7560 + l**6/720 - 19*l**4/12 + 16*l. Let b(o) be the third derivative of m(o). Factor b(z).
z*(z + 3)/3
Factor -21*q**5 - 166*q**2 - 945*q**3 - 115*q**2 - 13*q**2 + 288*q**4.
-3*q**2*(q - 7)**2*(7*q + 2)
Let l(v) be the second derivative of -v**4/48 + 85*v**3/6 - 7225*v**2/2 - 9*v + 22. Factor l(g).
-(g - 170)**2/4
Let u(v) = -2*v**3 - 6*v**2 - v - 1. Let q be u(-4). Solve -38*s**3 - q*s**3 + 67*s**3 - 3*s**2 - 3*s**4 = 0 for s.
-1, 0
Let s(g) = -45*g - 717. Let h be s(-16). Let m(o) be the third derivative of -4/3*o**4 - 8/3*o**h + 0 - 1/3*o**5 - 1/30*o**6 - 4*o**2 + 0*o. Factor m(y).
-4*(y + 1)*(y + 2)**2
Let s(w) = 4*w**2 + 100*w + 106. Let o(b) = 1. Let x(k) = -10*o(k) + s(k). Suppose x(d) = 0. Calculate d.
-24, -1
Let u(f) = 17*f - 270. Let p be u(16). Let c(m) be the first derivative of 18*m - 6*m**p - 7 + 2/3*m**3. Suppose c(b) = 0. What is b?
3
Let c(q) be the second derivative of q**5/30 + 12*q**4 + 1728*q**3 + 124416*q**2 + 21*q + 4. Factor c(y).
2*(y + 72)**3/3
Let h be (8 + 2)/(1/2*-1). Let q be 4/h + (-10)/(-5). Factor -q*i**4 + 3/5*i**5 + 0 + 9/5*i**3 - 3/5*i**2 + 0*i.
3*i**2*(i - 1)**3/5
Suppose -14*f = a - 19*f + 4, 3*f = -5*a + 8. Let t(l) be the first derivative of -a + 1/6*l**4 + 0*l**2 + 2/9*l**3 + 0*l. Factor t(n).
2*n**2*(n + 1)/3
Let s(a) be the third derivative of -a**6/105 - 13*a**5/210 - a**4/28 + 10*a**2 - 2*a. Factor s(i).
-2*i*(i + 3)*(4*i + 1)/7
Let d(w) = w**2 - 15*w - 34. Let i be d(17). Let h(u) be the first derivative of 0*u**4 + 6 + 1/50*u**5 + i*u**2 + 0*u - 1/30*u**3. Factor h(b).
b**2*(b - 1)*(b + 1)/10
Let n(m) = 10*m**2 + 15*m + 10. Let r(q) be the second derivative of -q**4/12 + q - 33. Suppose -2*s - s = 15. Let z(h) = s*r(h) - n(h). Factor z(g).
-5*(g + 1)*(g + 2)
Suppose -1/2*v**5 - 2*v**2 + 0 + 2*v**4 - v**3 + 3/2*v = 0. Calculate v.
-1, 0, 1, 3
Let y(q) be the first derivative of 0*q - 5/8*q**2 - 8 - 5/12*q**3. Solve y(u) = 0 for u.
-1, 0
Determine w, given that -1032*w + 4*w**2 + 2*w**2 + 58927 + 763