- 2 + 0 - 5*k - 4*k**2 + 1 = 0 for k.
-1, -1/2
Let y(c) = 2*c**3 + 7*c**2 + 2*c - 3. Let s be 60/(-10)*4/6. Let q(g) = -2*g**3 - 8*g**2 - 2*g + 4. Let l(k) = s*y(k) - 3*q(k). Let l(o) = 0. Calculate o.
-1, 0
Let d(p) be the second derivative of p**7/126 - p**6/18 + 2*p**5/15 - p**4/9 - 17*p. What is z in d(z) = 0?
0, 1, 2
Let l(m) be the first derivative of 2*m**6/3 - 2*m**4 + 2*m**2 + 1. Factor l(w).
4*w*(w - 1)**2*(w + 1)**2
Let g(d) = -2*d**2 + 3*d + 2. Let v be g(2). Factor v*c - 2/7*c**2 + 2/7.
-2*(c - 1)*(c + 1)/7
Let h(a) be the second derivative of -a**7/4200 + a**6/600 - a**5/200 - a**4/12 - 5*a. Let z(o) be the third derivative of h(o). Let z(i) = 0. Calculate i.
1
Let t = -147/2 - -74. Determine b, given that 0*b + t*b**4 + 2*b**3 + 0 + 2*b**2 = 0.
-2, 0
Let n(y) = y**3 + 2*y**2 + 2. Let m be n(-2). Find k, given that -7*k**2 + 40*k + 8 + 23*k**2 + 60*k**3 + 58*k**m + 18*k**4 = 0.
-1, -2/3
Suppose -g = 2*g + 5*w, -5*w = 4*g. Let s(c) be the second derivative of 0*c**2 - 1/15*c**3 - 1/30*c**4 + 2*c + g. Suppose s(l) = 0. Calculate l.
-1, 0
Let t(i) be the third derivative of i**9/7560 + i**8/13440 - i**7/1260 - i**6/1440 + i**4/24 + i**2. Let h(x) be the second derivative of t(x). Factor h(v).
v*(v - 1)*(v + 1)*(4*v + 1)/2
Let z be (-170)/(-30) - (-1 + 6). What is c in -1/3*c**5 - 2/3*c**3 + c + 1/3 - c**4 + z*c**2 = 0?
-1, 1
Let z(d) be the third derivative of -d**7/1155 - d**6/66 - 37*d**5/330 - 5*d**4/11 - 12*d**3/11 - 10*d**2. Factor z(m).
-2*(m + 2)**2*(m + 3)**2/11
Let u(t) be the third derivative of -t**8/112 + t**7/35 - t**5/10 + t**4/8 + 16*t**2. Factor u(h).
-3*h*(h - 1)**3*(h + 1)
Let s be 1 + -1 + (6 - -6). Let b be 3/s - (-30)/8. Suppose 0*z - z - 2*z**5 + 3*z**3 + z**2 - z**b + z**4 - z**4 = 0. Calculate z.
-1, 0, 1/2, 1
Let n(t) = t**2. Let y(o) = 3*o**2 + 9*o + 4. Let d(c) = -3*c**2 - 8*c - 3. Let p(v) = -6*d(v) - 5*y(v). Let f(j) = -4*n(j) + p(j). Find z such that f(z) = 0.
1, 2
Factor -16*v**4 + v**4 - 5*v**5 - 30*v**3 - 9*v**4 - v**4.
-5*v**3*(v + 2)*(v + 3)
Suppose 3*a + 0 = 6. Let r(q) be the first derivative of -1/3*q**a - 1 - 2/9*q**3 + 0*q + 2/15*q**5 + 1/6*q**4. Let r(d) = 0. Calculate d.
-1, 0, 1
Let x(n) be the first derivative of 0*n**3 + 1/12*n**4 - 1/12*n**6 - 2 + 0*n**2 - 3*n - 3/40*n**5. Let v(t) be the first derivative of x(t). Solve v(h) = 0.
-1, 0, 2/5
Let v(b) be the second derivative of -7*b**5/4 + 15*b**4/4 - 5*b**3/3 - 14*b. Determine w so that v(w) = 0.
0, 2/7, 1
Let i be ((-2)/5 - 92/(-180))/2. Let s(p) be the first derivative of 4/27*p**3 - 1 + i*p**4 + 0*p + 1/9*p**2. Find t, given that s(t) = 0.
-1, 0
Let r(z) be the third derivative of 11*z**6/480 + z**5/10 + 5*z**4/32 + z**3/12 - 34*z**2. Let r(d) = 0. What is d?
-1, -2/11
What is f in -12*f**2 - 2*f**3 - 2*f + 5*f - 12*f - 9*f = 0?
-3, 0
Let m(r) be the first derivative of 1/12*r**3 - 1 + 0*r - 1/8*r**2. Factor m(w).
w*(w - 1)/4
Let r(x) be the second derivative of x**4/24 + x**3/4 - x**2 - 9*x. Factor r(b).
(b - 1)*(b + 4)/2
Let w(y) be the third derivative of 3/4*y**4 + 0*y + 9/2*y**3 + 0 - 2*y**2 + 1/20*y**5. Determine x, given that w(x) = 0.
-3
Factor 11 - 3 - 2*v + 3*v**2 - 3 - 6.
(v - 1)*(3*v + 1)
Let g(v) be the first derivative of v**6/36 + 2*v**5/15 + v**4/4 + 2*v**3/9 + v**2/12 - 4. Factor g(s).
s*(s + 1)**4/6
Let w = 14 + -12. Let f(y) be the first derivative of 7/10*y**w + 1/4*y**4 - 1/25*y**5 + 3 - 3/5*y**3 - 2/5*y. Factor f(a).
-(a - 2)*(a - 1)**3/5
Let a(v) be the third derivative of v**6/140 - 4*v**5/105 + v**4/12 - 2*v**3/21 + v**2. Factor a(l).
2*(l - 1)**2*(3*l - 2)/7
Factor 0*r**4 - 1/7*r + 0 - 1/7*r**5 + 2/7*r**3 + 0*r**2.
-r*(r - 1)**2*(r + 1)**2/7
Let w(h) be the second derivative of 3/5*h**5 - 1/15*h**6 + 8/3*h**3 + 0*h**2 + 0 + 2*h - 2*h**4. Let w(k) = 0. Calculate k.
0, 2
What is q in 2*q**5 + 4*q - 6*q**3 + 2*q**5 + 0*q - 2*q**3 = 0?
-1, 0, 1
Suppose -2*i - 5*u = -28, 4*i = -4*u + 8*u. Suppose -5*a - i*a**2 + 3*a + 2*a**2 = 0. Calculate a.
-1, 0
Factor 8/5*a + 0 + 14/5*a**2 + 4/5*a**3 - 2/5*a**4.
-2*a*(a - 4)*(a + 1)**2/5
Let v(x) be the second derivative of x**4/24 - 11*x**3/6 + 121*x**2/4 - 43*x. Determine o, given that v(o) = 0.
11
Suppose 4*s = -6*s. Let j(d) be the second derivative of -4*d + s*d**4 + 0 + 1/30*d**6 + 1/28*d**7 + 0*d**3 - 1/40*d**5 + 0*d**2. Solve j(b) = 0.
-1, 0, 1/3
Let z(v) be the second derivative of -v + 0 + 1/12*v**4 - 1/20*v**5 + 0*v**2 + 1/3*v**3. Factor z(r).
-r*(r - 2)*(r + 1)
Let p = 8 - 3. Determine l, given that 2*l**4 + p*l**5 + l**3 - 3*l**5 + l**4 = 0.
-1, -1/2, 0
Let v(b) be the first derivative of b**5/110 + b**4/33 + b**3/33 + 3*b + 1. Let f(u) be the first derivative of v(u). Factor f(z).
2*z*(z + 1)**2/11
Let o(p) = -4*p**5 + p**4 + 11*p**3 - 4*p**2 + p. Let h(l) = -l**5 + l**4 + l**3. Let c(s) = -5*h(s) + o(s). Factor c(d).
d*(d - 1)**4
Let v = -1/152 + 311/1064. Factor -2/7*b**2 + v*b + 0.
-2*b*(b - 1)/7
Factor -8/3*k + 2/3*k**2 + 0.
2*k*(k - 4)/3
Factor 32*r - 5*r**2 - 4*r**3 - 8*r**2 + 48 + 9*r**2.
-4*(r - 3)*(r + 2)**2
Let w = -2 - -4. Let m(v) be the first derivative of 0*v + 1/12*v**4 + 0*v**3 + 0*v**w + 1/9*v**6 - 2 + 1/5*v**5. Solve m(b) = 0.
-1, -1/2, 0
Let j(f) = -f**3 - f**2 - f + 1. Let m(w) = 9*w**3 - 27*w**2 - 42*w + 30. Let b(y) = 18*j(y) - m(y). Factor b(t).
-3*(t + 1)*(3*t - 2)**2
Let d(t) be the third derivative of -t**6/90 + t**4/18 + 2*t**2 - 41. Factor d(f).
-4*f*(f - 1)*(f + 1)/3
Find q such that -9*q**2 + 6*q**2 - q**2 - q**4 + 5*q**4 = 0.
-1, 0, 1
Suppose -h = 2 - 6. Factor 2/3*x**2 + 8/3*x**h + 0*x + 0 + 8/3*x**3.
2*x**2*(2*x + 1)**2/3
Suppose -s + 2*s = 0. Let t(v) be the second derivative of -1/12*v**4 - 2*v + s - 1/6*v**3 + 0*v**2. Find k, given that t(k) = 0.
-1, 0
Let r(d) = -4*d**4 - 13*d**3 - 17*d**2 + 16*d + 32. Let w(j) = 2*j**4 + 7*j**3 + 9*j**2 - 8*j - 16. Let p(g) = -6*r(g) - 14*w(g). Find x, given that p(x) = 0.
-2, 1
Suppose -4*w + 4*s + 12 = 0, -2*s - 8 = -4*w + 4. Let f = w + 1. Factor y**f - y**5 + 6*y - 6*y.
-y**4*(y - 1)
Let j(l) be the second derivative of -l**5/20 + 3*l**4/4 + 5*l**2/2 + l. Let c be j(9). Factor -14*z**3 + 26*z**2 + z - 8*z**2 - c*z.
-2*z*(z - 1)*(7*z - 2)
Determine r so that 300 - 291/2*r**3 + 417*r**2 - 570*r - 3/2*r**5 + 24*r**4 = 0.
2, 5
Suppose -q - 4*q = -235. Find c such that 14*c**3 - 8*c**2 + q*c**2 + 40*c + 7*c**2 + 8 = 0.
-2, -1, -2/7
Suppose n - 4*a + 13 = 0, -13 = 4*n - 5*a - 5. Let 2/9*t**2 - 2/9*t**n + 0 + 0*t = 0. Calculate t.
0, 1
Factor 3*h**3 + 0*h**2 + 9*h + 4*h**2 - 3*h + 5*h**2.
3*h*(h + 1)*(h + 2)
Let s = 9 - 11. Let i be (s/(-3))/((-40)/(-15)). Let -1/4*r**2 + 1/4*r**4 + 0 - 1/4*r + i*r**3 = 0. Calculate r.
-1, 0, 1
Solve 0 + 8/5*v**5 - 14/5*v**2 + 4/5*v + 14/5*v**4 - 12/5*v**3 = 0.
-2, -1, 0, 1/4, 1
Let w(t) be the first derivative of -14*t**6/3 + 78*t**5/5 - 31*t**4/2 - 2*t**3/3 + 9*t**2 - 4*t + 11. Suppose w(m) = 0. What is m?
-1/2, 2/7, 1
Suppose 0 = 2*m + b - 4, 0*m + 4 = -4*m + b. Suppose m = -4*l + 4, l = p - l. Let -z**4 - z**3 + z**p + z**5 + 2*z**3 - 3*z**3 + z**3 = 0. What is z?
-1, 0, 1
What is h in -5*h - 6 - 3*h**2 + h - 5*h = 0?
-2, -1
Let g(c) be the third derivative of -c**8/168 + c**7/21 - 3*c**6/20 + 7*c**5/30 - c**4/6 + 5*c**2. Determine t so that g(t) = 0.
0, 1, 2
Let k(c) be the first derivative of -c**4/8 - c**3/6 + c**2/4 + c/2 - 23. Factor k(m).
-(m - 1)*(m + 1)**2/2
Let c(o) be the first derivative of -o**3 - 12*o**2 - 21*o - 9. Factor c(y).
-3*(y + 1)*(y + 7)
Let g(k) = k**2 - 4*k - 30. Let h be g(8). Determine o, given that 4*o**3 + 0 + 3/2*o**4 + h*o**2 + 0*o = 0.
-2, -2/3, 0
Suppose h - 3*u = 6*h + 6, -2*u - 4 = -3*h. Solve 1/4*m**2 + h + 1/4*m = 0.
-1, 0
Let i(t) be the second derivative of t**6/300 - 7*t**5/150 + t**4/4 - 3*t**3/5 - 2*t**2 - 2*t. Let c(f) be the first derivative of i(f). Factor c(h).
2*(h - 3)**2*(h - 1)/5
Let c = -233 - -1166/5. Factor -c*t**3 - 1/5 - 3/5*t**2 - 3/5*t.
-(t + 1)**3/5
Let b be (-2)/(-7) - (-72)/(-7). Let t(c) = 4*c**4 - 36*c**3 + 54*c**2 - 16*c + 4. Let p(g) = -g**4 + g**3 + g. Let s(i) = b*p(i) + t(i). Factor s(w).
2*(w - 1)**3*(7*w - 2)
Let s(k) = -k + 1. Let z be s(6). Let y(c) = 2*c**3 - 4*c**2 - c. Let g(a) = 4*a**3 - 8*a**2 - a. Let o(i) = z*y(i) + 3*g(i). Factor o(m).
2*m*(m - 1)**2
Let t be (5/(-35)*0)/4. F