ate m.
-2, -1, 0, 1
Find h, given that h**4 - 6*h**3 - 98*h**2 + 22*h**3 - 3*h**4 - 28*h**2 + 98*h + 14*h**3 = 0.
0, 1, 7
Suppose 14*y**4 + 1046*y + 1110*y**3 + 1456*y**2 + 1318*y - 2052*y - 48*y**2 = 0. What is y?
-78, -1, -2/7, 0
Let w(i) be the first derivative of i**3/4 + 3*i**2/4 + 3*i/4 - 1. Factor w(q).
3*(q + 1)**2/4
Let t(z) = 63*z**2 + 102*z + 26. Let a(n) be the first derivative of -21*n**3 - 51*n**2 - 27*n + 11. Let j(i) = 2*a(i) + 3*t(i). What is u in j(u) = 0?
-4/3, -2/7
Let w(g) = -g**2 + 2. Let l(f) = -10*f**2 - 584*f - 42616. Let y(d) = l(d) - 8*w(d). Factor y(j).
-2*(j + 146)**2
Let g(p) be the second derivative of p**4/6 + 5*p**3/6 + 11*p**2/2 - 8*p. Let s(x) = x + 1. Let j(z) = -2*g(z) - 14*s(z). Factor j(f).
-4*(f + 3)**2
Let m(r) be the first derivative of -r**4/3 - 10*r**3/3 - 8*r**2 - 7*r - 28. Let p(o) be the first derivative of m(o). Factor p(b).
-4*(b + 1)*(b + 4)
Let s(p) be the first derivative of 2*p**3/27 - 50*p**2/9 + 1250*p/9 + 19. Let s(t) = 0. What is t?
25
Let j be 0*((-365)/(-45) - 8). Find s, given that 3/8*s + 1/8*s**2 + j = 0.
-3, 0
Let n(h) be the third derivative of -h**5/180 + h**4/36 - h**3/18 - 312*h**2. Solve n(f) = 0.
1
Let u(x) = x**3 + 39*x**2 - 41*x - 40. Let n be u(-40). Let q(k) be the first derivative of -7 + 1/8*k**4 + n*k - 1/4*k**2 - 1/12*k**3 + 1/20*k**5. Factor q(y).
y*(y - 1)*(y + 1)*(y + 2)/4
Suppose c = 4*c + 81. Let v be (-168)/(-27) - (-6)/c. Suppose -v*k + 2*k + 0*k - 13*k**2 + 11*k**2 = 0. What is k?
-2, 0
Determine i, given that -4*i**3 - 38*i**4 + 10*i**2 - 11*i**3 + 38*i**4 + 5*i**5 = 0.
-2, 0, 1
Let m(h) be the first derivative of h**4/8 - 5*h**3/6 + h**2 + 79. Factor m(c).
c*(c - 4)*(c - 1)/2
Let c(i) be the first derivative of -1/60*i**6 - 11*i + 1 + 1/4*i**4 - 1/40*i**5 + 1/3*i**3 - 2*i**2. Let k(z) be the first derivative of c(z). Factor k(y).
-(y - 2)*(y - 1)*(y + 2)**2/2
Let y(t) = -8*t**2 - 276*t - 3651. Let n(i) = -15*i**2 - 550*i - 7300. Let w(u) = 3*n(u) - 5*y(u). Let w(l) = 0. Calculate l.
-27
Let v(u) = -u**2. Let c = 62 + -63. Let k(x) = 40*x - 80. Let g(i) = c*k(i) - 5*v(i). Factor g(q).
5*(q - 4)**2
Suppose -4*k + 7 = -9. Let b(y) = -5*y**3 - 12*y**2 - 9*y - 4. Let g(m) = 26*m**3 + 61*m**2 + 45*m + 21. Let u(s) = k*g(s) + 22*b(s). Factor u(h).
-2*(h + 1)*(h + 2)*(3*h + 1)
Suppose 24*o + 15*o + 12*o - 153 = 0. Solve 2/21*x**o + 0 - 2/21*x - 2/21*x**4 + 2/21*x**2 = 0 for x.
-1, 0, 1
What is a in -1 + 7/4*a**5 + 7*a + 73/4*a**3 - 67/4*a**2 - 37/4*a**4 = 0?
2/7, 1, 2
Let c be -2*46/(-24) + (-61)/(-366). Suppose -9*m + 20 = -c*m. Factor -2/3 + 0*r**2 + 2/3*r**m + 4/3*r - 4/3*r**3.
2*(r - 1)**3*(r + 1)/3
Factor -10/17*c - 12/17 + 2/17*c**2.
2*(c - 6)*(c + 1)/17
Let f(x) be the first derivative of -x**8/672 + x**7/112 - x**6/48 + x**5/48 - x**3/3 - 31. Let j(l) be the third derivative of f(l). Let j(t) = 0. What is t?
0, 1
Let c(h) = h**4 + h**3 - h - 1. Let k(l) = -77*l**5 - 118*l**4 + 74*l**3 + 16*l**2 - 6*l - 6. Let v(b) = -6*c(b) + k(b). Determine j, given that v(j) = 0.
-2, -2/11, 0, 4/7
Let a = 8/247 - -1203/988. Find g, given that -1/4*g**2 - 3/4 + a*g - 1/4*g**3 = 0.
-3, 1
Suppose -3*p + s = -4*p + 110, -2*p - 4*s + 220 = 0. Suppose p - 648*q**3 + 120 - 102 - 608*q + 108*q**4 + 1008*q**2 = 0. Calculate q.
2/3, 4
Factor -6/17*m**3 + 2/17*m**5 + 8/17*m + 4/17*m**4 - 8/17*m**2 + 0.
2*m*(m - 1)**2*(m + 2)**2/17
Let g be ((-1)/(15/(-27)))/(3/5). Suppose -g*j - 1 = 5*h - 0*h, -h + 1 = j. Let 1/3*c**4 - 1/3*c**2 + 0*c + 0 + 0*c**j = 0. Calculate c.
-1, 0, 1
Suppose -5*t + 27 = b, -4*b + 5*t = -b + 19. Factor 36 + 21*y**3 + 51*y**b - 130*y**2 + 52*y**2 - 120*y.
3*(y - 3)*(y + 2)*(7*y - 2)
Let q(g) = 5*g**3 + 3*g**2 - 2*g + 6. Let d(p) = -9*p**3 - 6*p**2 + 4*p - 10. Let i(b) = 3*d(b) + 5*q(b). Let i(c) = 0. Calculate c.
-2, 0, 1/2
Let p(b) be the first derivative of -5*b**4/48 + b**3/12 + 5*b - 7. Let z(f) be the first derivative of p(f). Factor z(j).
-j*(5*j - 2)/4
Let u(w) = -21*w**3 + 469*w**2 - 184*w - 2. Let c(k) = 339*k**3 - 7503*k**2 + 2943*k + 33. Let p(o) = -2*c(o) - 33*u(o). Factor p(b).
3*b*(b - 31)*(5*b - 2)
Let h = -36323 + 36323. Let o = 35/11 + -3. What is k in 0 + o*k**4 - 4/11*k**3 + h*k + 2/11*k**2 = 0?
0, 1
Let p = -31 - -34. Factor -4*y + 2*y + 20*y**2 - 9*y + 3*y**4 - 13*y**p - y**2 + 2.
(y - 2)*(y - 1)**2*(3*y - 1)
Suppose 0 = 23*z - 13*z. Let q(c) be the third derivative of z*c - 4*c**2 + 1/20*c**5 + 0 + 1/2*c**3 + 1/4*c**4. Factor q(y).
3*(y + 1)**2
What is q in 35*q**3 - 4*q**4 + 100*q - q**4 + 18853*q**2 - 18713*q**2 = 0?
-2, -1, 0, 10
Let g(s) be the third derivative of s**9/2160 + s**8/315 + 11*s**7/1260 + s**6/90 + s**5/20 + 13*s**2. Let h(m) be the third derivative of g(m). Factor h(p).
4*(p + 1)**2*(7*p + 2)
Let x(o) be the third derivative of -1/90*o**5 + 1/9*o**3 + 0*o + 1/540*o**6 + 0 - 39*o**2 - 1/108*o**4. Suppose x(w) = 0. What is w?
-1, 1, 3
Suppose 5*j - 4*a = 2*j - 14, 17 = -4*j + 5*a. Suppose -2 = 7*h - j. Suppose -2/11*y**4 + h - 2/11*y**2 - 4/11*y**3 + 0*y = 0. What is y?
-1, 0
Suppose 5*v - 9*v = -32. Factor -8*d**2 - v*d**4 - 13*d**5 + d**3 + 2*d + 15*d**5 + 11*d**3.
2*d*(d - 1)**4
Let n(r) be the first derivative of -r**5 + 5*r**3 + 5*r**2 - 159. Factor n(x).
-5*x*(x - 2)*(x + 1)**2
Let t(j) be the second derivative of -4*j + 0 + 0*j**2 + 0*j**3 + 1/72*j**4 - 1/120*j**5. Factor t(f).
-f**2*(f - 1)/6
Let l(m) be the first derivative of 7*m**6/12 - 43*m**5/5 + 117*m**4/4 - 128*m**3/3 + 119*m**2/4 - 9*m + 78. Factor l(n).
(n - 9)*(n - 1)**3*(7*n - 2)/2
Let g = 457/33 + -41/3. Solve -4/11*h**2 - g + 9/11*h = 0 for h.
1/4, 2
Determine l, given that -84*l + 21*l**3 - 32*l**3 + 7*l**3 + 72 + 32*l**2 = 0.
2, 3
Let c be (2106/52 - 35)*(6/22 - 0). Factor c + 5/2*u**2 - 1/2*u**3 - 7/2*u.
-(u - 3)*(u - 1)**2/2
Let x = 25 + 13. Suppose 33*c**4 + 3*c**2 - 10*c + 2*c**2 - x*c**4 + 8*c**3 + 2*c**3 = 0. What is c?
-1, 0, 1, 2
What is x in -12/5*x**3 - 21/5*x**2 + 3/5*x**4 + 6*x + 0 = 0?
-2, 0, 1, 5
Let j(p) be the third derivative of 1/100*p**5 + 1/10*p**4 - 8*p**2 + 0*p + 0 - 2/5*p**3 - 1/200*p**6. Factor j(b).
-3*(b - 2)*(b - 1)*(b + 2)/5
Let k(j) be the first derivative of -j**7/21 - 3*j**6/20 - 3*j**5/20 - j**4/24 + 3*j - 9. Let y(h) be the first derivative of k(h). Let y(a) = 0. Calculate a.
-1, -1/4, 0
Let v = 1763 - 1757. Let u(r) be the first derivative of -1/2*r**2 + 0*r - 1/12*r**4 - v - 4/9*r**3. Suppose u(c) = 0. What is c?
-3, -1, 0
Let w be ((-6)/4)/(24/(-2560)). Solve 66*u + 64 + 62*u + 420*u**2 + w*u + 196*u**3 = 0 for u.
-1, -4/7
Let p(f) = -45*f**2 + 1620*f - 14415. Let r(g) = 5*g**2 - 180*g + 1602. Let w(s) = 6*p(s) + 55*r(s). Factor w(z).
5*(z - 18)**2
Determine n so that -125 - 5/4*n**2 + 505/4*n = 0.
1, 100
Factor 32255*i**2 - 114*i + 5*i**3 - 63 - 19*i**3 - 32319*i**2 - i**4.
-(i + 1)*(i + 3)**2*(i + 7)
What is k in -3/5*k + 0 - 27/5*k**3 + 18/5*k**2 = 0?
0, 1/3
Let i be ((-6)/(-4))/((-9)/(-12)). Suppose 3*x + 2*d - 21 = 0, 5*x - i*d = 46 + 5. Determine b, given that -9*b - 3*b**2 - 5 - x*b - 22 = 0.
-3
Let d(f) be the second derivative of 0 + 8*f + 2/5*f**5 + 7/3*f**4 + 0*f**2 - 4/3*f**3 - 14/15*f**6. Solve d(v) = 0.
-1, 0, 2/7, 1
Let t be 1*5*(-2 - -4). Factor t*l - 45*l**2 - 48*l**2 + 88*l**2.
-5*l*(l - 2)
Let n be (-33)/14 - (-4 + 0). Let g = 6/7 + n. What is l in -2*l**4 + g*l - 4*l**3 + 3/2*l**5 - 1 + 3*l**2 = 0?
-1, 1/3, 1, 2
Let h be (-194)/1067 + 8/22. Factor -h*m**3 + 0 + 2/11*m**2 + 0*m.
-2*m**2*(m - 1)/11
Let m(v) = v**3 - 23*v**2 + v - 20. Let p be m(23). Factor -2*i**p + 336*i + 4*i**4 + 18*i**3 + 32*i**3 + 8*i**3 + 144 + 244*i**2.
4*(i + 1)**2*(i + 6)**2
Suppose -215*z + 249*z = 0. Suppose 1/2*h**4 + 1/2 + z*h**3 + 0*h - h**2 = 0. Calculate h.
-1, 1
Let t(f) be the second derivative of 27*f**7/77 + 69*f**6/55 - 52*f**5/55 - 52*f**4/11 + 48*f**3/11 - 16*f**2/11 + 15*f - 1. Suppose t(k) = 0. What is k?
-2, 2/9, 1
Suppose -4*b + 8 = -5*w, -20*w - 2 = -23*w - b. Let y(f) be the first derivative of -9/4*f**4 + 2*f**3 + 1/2*f**6 + 0*f**2 + 0*f**5 + w*f - 2. Factor y(k).
3*k**2*(k - 1)**2*(k + 2)
Let k(h) = 4*h**3 + 13*h**2 + 2 - 3*h**2 - 6*h**3 + h**3. Let a be k(10). Factor 2*w - 4*w + 1 - 2*w + w**a + 2.
(w - 3)*(w - 1)
Determine a, given that -222/11*a + 14/11*a**3 - 360/11 - 10/11*a**2 + 2/11*a**4 = 