Determine i so that s(i) = 0.
-4, -1, 2/5
Determine y so that -2222*y**4 - 57*y**2 + 36*y + 88*y**3 - 93*y**2 + 2208*y**4 = 0.
0, 2/7, 3
Let y be 28 - 28 - -19*1*-3. Let n = -55 - y. Suppose -2 - 1/2*o**n - 2*o = 0. Calculate o.
-2
Suppose -2/9*a**2 + 364/9*a - 16562/9 = 0. Calculate a.
91
Let x(a) be the third derivative of -3*a**2 + 0 + 0*a**3 + 1/210*a**5 - 1/42*a**4 + 0*a + 1/420*a**6. Suppose x(q) = 0. What is q?
-2, 0, 1
Suppose -5*p = -2*o - 39, -7*o = 2*p - 3*o - 6. Let g(c) be the first derivative of 0*c + 1/4*c**4 + 1/4*c**2 - 1/2*c**3 - p. Factor g(l).
l*(l - 1)*(2*l - 1)/2
Let i(q) = q**3 - 2*q + 3. Let m be i(1). Let f(v) be the second derivative of -1/30*v**4 - 2*v + 2/5*v**3 + 0 - 9/5*v**m. Factor f(w).
-2*(w - 3)**2/5
Suppose -76 = -9*r - 10*r. Solve 18/19*l**r + 0 - 6/19*l**3 - 10/19*l**2 - 2/19*l = 0.
-1/3, 0, 1
Let i(c) be the third derivative of 3*c**5/5 - 4*c**4/3 - 13*c**3/3 - 6*c**2. Let z(x) = x**2 - x - 1. Let w(a) = -2*i(a) + 44*z(a). Let w(f) = 0. What is f?
-2/7, 1
Let z(c) = c**3 - 5*c**2 + 3*c + 6. Let o be z(5). Factor o*k**2 - 4*k - 16*k**5 + 0*k**2 - 6*k**2 + 13*k**2 - 60*k**3 + 52*k**4.
-4*k*(k - 1)**3*(4*k - 1)
Let p be 1/3 + 0/2. Let u be ((-4)/(-26))/((-11)/(-143)). Factor 1/3*k + 0 + p*k**u.
k*(k + 1)/3
Let k = 1144 + -1144. Let v = 6/5 - 8/15. Factor 0*i + k + v*i**3 - 2/3*i**2.
2*i**2*(i - 1)/3
Let g(q) be the first derivative of -2*q**3/5 - 363*q**2/5 + 732*q/5 + 329. Suppose g(f) = 0. Calculate f.
-122, 1
Let x(c) be the second derivative of -c**7/98 + 3*c**6/14 + 9*c**5/70 - 41*c**4/14 - 117*c**3/14 - 135*c**2/14 + 25*c - 2. Determine s so that x(s) = 0.
-1, 3, 15
Factor -110*u**3 + 6*u**2 + 59*u**3 + 48*u**3 - 3*u.
-3*u*(u - 1)**2
Let t(g) = 3*g**3 + 26*g**2 - 3*g - 16. Let y(h) = -12*h**3 - 108*h**2 + 12*h + 63. Let f(l) = 9*t(l) + 2*y(l). What is a in f(a) = 0?
-6, -1, 1
Let u(d) = -4*d**4 + 12*d**3 + 12*d**2 - 20*d. Let o(i) = -4*i**4 + 11*i**3 + 14*i**2 - 21*i. Let c(r) = -4*o(r) + 3*u(r). Factor c(s).
4*s*(s - 3)*(s - 1)*(s + 2)
Let i(p) be the second derivative of 7*p**6/15 + 55*p**5/6 + 509*p**4/18 + 277*p**3/9 + 22*p**2/3 - 1028*p. Determine d, given that i(d) = 0.
-11, -1, -2/21
Let r(q) = 4*q - 23. Let m be r(5). Let j be (-14)/(-24)*4 + 1/m. Solve 1 - 1/2*d - d**j + 1/2*d**3 = 0 for d.
-1, 1, 2
Let y(v) = 84*v**3 + 4*v**2 - v - 2. Let w be y(1). Let t = w - 80. Factor 1/2*n**t - 1 - 2*n**3 + 3/2*n + 0*n**4 + n**2.
(n - 1)**3*(n + 1)*(n + 2)/2
Factor 135*w**2 + 22*w - 45*w**3 + 5*w**4 + 76 - 38*w - 139*w - 16.
5*(w - 4)*(w - 3)*(w - 1)**2
Let w(z) be the second derivative of -z**9/3024 + z**8/448 - z**7/252 + z**4/12 - 9*z. Let v(b) be the third derivative of w(b). Find d such that v(d) = 0.
0, 1, 2
Find r such that -81/2 - 1/2*r**2 - 9*r = 0.
-9
Let s = 407 + -399. Let y(v) be the first derivative of -8*v + 98/5*v**5 - 49*v**4 + s*v**2 + 6 + 30*v**3. Let y(l) = 0. What is l?
-2/7, 2/7, 1
Let u(f) be the third derivative of -3*f**7/700 + f**6/60 - 7*f**5/300 + f**4/60 + 3*f**3 - 19*f**2. Let h(s) be the first derivative of u(s). Factor h(g).
-2*(g - 1)*(3*g - 1)**2/5
Let s = 21 - 19. Suppose -a - 2*n = -2, 21 = 4*a - s*n + 3. Solve a*i**3 - 33*i**2 + i**3 - 8*i + 18*i + 48*i**2 = 0.
-2, -1, 0
Let t(z) be the third derivative of z**9/7056 + z**8/980 + z**7/392 + z**6/420 - 13*z**3/6 - 14*z**2. Let l(h) be the first derivative of t(h). Factor l(c).
3*c**2*(c + 1)**2*(c + 2)/7
Solve 45 - 150*r**3 + 47*r**4 + 10*r**5 - 165*r + 230*r**2 - 15*r**5 - 2*r**4 = 0.
1, 3
Let p(g) be the third derivative of -g**6/120 - 41*g**5/60 - 55*g**4/3 - 200*g**3/3 - 214*g**2. Factor p(d).
-(d + 1)*(d + 20)**2
Let h be ((-12)/(-30) + -2)/(4/(-10)). Suppose 12 + 4*f**h + 44*f**2 + 40*f + 24*f**3 + 3*f**2 + f**2 = 0. Calculate f.
-3, -1
Let l = 14642 + -102455/7. Determine m so that -21 - 15*m - 3/7*m**3 + l*m**2 = 0.
-1, 7
Factor 1/6*p**4 + 3/2 - 5/3*p**2 - 4/3*p + 4/3*p**3.
(p - 1)**2*(p + 1)*(p + 9)/6
Factor 45 - 5*m**3 - 17 - 15*m**2 + 5*m**5 + 15*m**4 - 17 - 11.
5*m**2*(m - 1)*(m + 1)*(m + 3)
Let z be 415/15 + 3/9. Suppose 0 = 3*w + 3*t - 7*t - z, 4*w - 32 = 4*t. Let -2*q**w + 2*q - 43*q**3 + 6*q + 37*q**3 = 0. Calculate q.
-2, 0, 1
Let f(p) = 10*p**3 + 13*p**2 - 2*p + 2. Let w(n) = -69*n**3 - 90*n**2 + 15*n - 15. Let x(q) = 15*f(q) + 2*w(q). Determine t, given that x(t) = 0.
-5/4, 0
Let l(i) = 11*i - 41. Let s be l(4). Suppose -6 - 3 = -q - s*a, -9 = -3*a. Factor q - 8/13*m**2 - 2/13*m.
-2*m*(4*m + 1)/13
Let c(g) = -11 + 7*g - 19 - 957*g**2 + 958*g**2. Let m be c(-10). Find u, given that m - 2/11*u**4 + 0*u + 0*u**2 - 2/11*u**3 = 0.
-1, 0
Let t(v) be the second derivative of v**4/4 - 12*v**3 + 189*v**2/2 + v + 297. Let t(y) = 0. Calculate y.
3, 21
Solve -392/13 + 56/13*a - 2/13*a**2 = 0.
14
Let n = -16 + 32. Factor 4*k**2 - 4*k + 4*k + 18*k**3 - n*k**3.
2*k**2*(k + 2)
Let q(x) = 479*x - 3830. Let i be q(8). Find d, given that 72/7*d**3 + 0 + 0*d + 24/7*d**i - 6*d**4 = 0.
-2/7, 0, 2
What is m in -2 - 7*m**2 + m**4 + m - 13*m**2 - 19*m + 18*m**3 + 21 = 0?
-19, -1, 1
Let o(k) be the third derivative of k**7/21 - 23*k**6/60 - k**5/3 - 31*k**2 + 3*k. Factor o(i).
2*i**2*(i - 5)*(5*i + 2)
Let w(r) = -10*r**2 + 28 - 8*r + r - 3*r - 32. Let d(s) = -s**3 + s**2. Let u(l) = -2*d(l) - w(l). Find v, given that u(v) = 0.
-2, -1
Let 0 + 24/13*o - 2/13*o**2 = 0. Calculate o.
0, 12
Determine a, given that 2/13*a**4 + 2*a**2 - 100/13 - 90/13*a + 18/13*a**3 = 0.
-5, -1, 2
Let u(p) be the first derivative of 6*p**5/5 + 25*p**4/4 + 6*p**3 - 9*p**2/2 + 21. Factor u(n).
n*(n + 3)*(2*n + 3)*(3*n - 1)
Let q = 64151/37 - 1734. Let u = q - -317/111. Factor u + 50/3*z**2 - 40/3*z.
2*(5*z - 2)**2/3
Factor 2/3*k**2 + 0 + 2/3*k.
2*k*(k + 1)/3
Let m(b) = b**3 + 6*b**2 + 7*b - 1. Let j be m(-4). Let u = -3 + 7/2. Factor -o**j + 0*o - 1/2*o**2 + 0 - u*o**4.
-o**2*(o + 1)**2/2
Suppose 0 - 1 - 396*m**4 + 1035*m**3 + 71415*m**2 + 401*m**4 + 1642545*m + 1 = 0. What is m?
-69, 0
Let j(v) be the second derivative of -v**7/1365 + v**5/130 + v**4/78 - 21*v**2/2 - 10*v. Let c(q) be the first derivative of j(q). Solve c(p) = 0.
-1, 0, 2
Let z be (-14)/6*(-2385)/1113. Factor -4/3*w**3 + 0 + 0*w**4 + 4/3*w**z + 0*w**2 + 0*w.
4*w**3*(w - 1)*(w + 1)/3
Let z(r) be the second derivative of -2*r**6/75 - 6*r**5/25 + 64*r**3/15 + 122*r. Suppose z(l) = 0. What is l?
-4, 0, 2
Determine q, given that -88/5 + 2*q**2 + 216/5*q = 0.
-22, 2/5
Let l be (26 - 26)/(2 + 1 + 0). Let b(c) be the first derivative of 4*c - 3*c**2 + l*c**3 - 6 + 1/2*c**4. Factor b(g).
2*(g - 1)**2*(g + 2)
Let g(k) be the second derivative of k**6/240 - k**5/120 + 22*k**2 + 46*k. Let n(w) be the first derivative of g(w). Factor n(l).
l**2*(l - 1)/2
Let z(u) be the third derivative of u**5/20 - 11*u**4/8 + 5*u**3 + 6*u**2 + 20*u. Find t such that z(t) = 0.
1, 10
Find o such that 0 + 1/2*o + 3/4*o**2 + 1/4*o**3 = 0.
-2, -1, 0
Let b = 25677226/85 + -302090. Let a = -78/17 - b. Find o such that 0 + a*o + 2/5*o**2 = 0.
-1, 0
Let -78*m**3 + 0*m**4 - 2*m**4 - 540*m**2 - m**4 - 715 - 1458*m - 662 = 0. Calculate m.
-17, -3
Factor -8/5*k**2 - 14/5 - 27/5*k + 9/5*k**3 + 4/5*k**4.
(k + 1)**2*(k + 2)*(4*k - 7)/5
Let c(u) be the third derivative of -u**7/168 - 49*u**6/240 - 23*u**5/16 + 341*u**4/24 - 121*u**3/6 + 165*u**2. Determine i so that c(i) = 0.
-11, 2/5, 2
Let p = -1141/2 - -5707/10. Factor 1/5*m**3 - m + p*m**2 + 3/5.
(m - 1)**2*(m + 3)/5
Let s(i) = -i**3 + 10*i**2 - 9*i + 2. Let z be s(9). Factor 0*u**2 + 6*u**3 + 5*u**2 - z*u**3 + u**2 - 2*u**4.
-2*u**2*(u - 3)*(u + 1)
Let n(m) be the third derivative of m**8/112 + m**7/35 - 3*m**6/40 - 2*m**5/5 - m**4/2 + 11*m**2 + 2. Factor n(u).
3*u*(u - 2)*(u + 1)**2*(u + 2)
Let n(m) = 25*m**2 + 183*m + 311. Let p(r) = -6*r**2 - 46*r - 78. Let d(t) = -2*n(t) - 9*p(t). Factor d(l).
4*(l + 2)*(l + 10)
What is z in -9867*z - 222*z**2 - 405224 - 2*z**3 + z**3 + 0*z**3 - 12087*z + 5526*z = 0?
-74
Let j be (-87)/(-36) - (615/(-60) - -10). Suppose 1/3*n**3 - 16/3 + 7/3*n**2 + j*n = 0. Calculate n.
-4, 1
Factor 10/13*b**2 + 152/13*b + 264/13.
2*(b + 2)*(5*b + 66)/13
Find y such that 60/7 + 16/21*y**3 + 16/21*y**4 - 100/21*y**2 + 2/21*y**5 - 38/7*y = 0.
-5, -3, 1, 2
Let a be 11/(1848/688) + (-48)/504. Factor -1/2*f**5 - 10*f**2 - a*f + 0 - 9*f**3 - 7/2*f**4.
-f*(