x**f + 1/12*x**4 + 1/2*x**2 + 0 + 2*x. Factor y(i).
(i - 1)**2
Let m(r) be the first derivative of -5*r**3/3 + 15*r**2 - 29. Suppose m(b) = 0. Calculate b.
0, 6
Let i = 416/21 + -138/7. Let p(h) be the first derivative of -i*h**3 + 1 + 0*h + 0*h**2. Factor p(r).
-2*r**2/7
Factor 0 - 1/4*l**2 - 2*l.
-l*(l + 8)/4
Factor 0 + 1/10*l**3 + 1/5*l**2 + 1/10*l.
l*(l + 1)**2/10
Find l, given that 4/5 + 9/5*l**2 - 12/5*l = 0.
2/3
What is z in 1/3*z**2 - 2/3*z**3 + 1/3*z**4 + 0 + 0*z = 0?
0, 1
Let s(v) be the second derivative of -v**6/255 + v**5/170 - 5*v. Suppose s(f) = 0. What is f?
0, 1
Let o(f) = 2*f**2 - 2*f + 7. Let k(d) = -d**2 + d - 4. Let c be (-2)/10 - 114/30. Let v = -11 - c. Let b(q) = v*k(q) - 4*o(q). Find l, given that b(l) = 0.
0, 1
Let b = -4 - -6. Let p = 12 - 6. Factor 3*q**2 + q + p*q + 0*q - b*q + 2.
(q + 1)*(3*q + 2)
Let r(o) = o**3 - o - 1. Let b = 10 + -6. Let u(t) = -6*t**3 - 2*t**2 + 6*t + 6. Let s(z) = b*r(z) + u(z). Determine y, given that s(y) = 0.
-1, 1
Let r(j) = -j**3 + 4*j**2 + 4*j + 7. Let y be r(5). Suppose 8 + 4*p**y + 4*p + p + p + 6*p = 0. What is p?
-2, -1
Let j(n) = n**3 - 3*n**2 - 5*n + 4. Let w(k) = k**3 + 7*k**2 - 18*k + 4. Let v be w(-9). Let u be j(v). Factor 0*a**2 + u - 1/3*a**3 + 0*a.
-a**3/3
Let w be (1 - 0 - 1)/(-21 + 20). Find s, given that -2/3 - 4/3*s**3 + 4/3*s + w*s**2 + 2/3*s**4 = 0.
-1, 1
Let c = -6 + 7. Let p = 0 + c. Let -1 - p + 2 - u**2 = 0. Calculate u.
0
Determine r so that 1/2*r**3 + 0*r + 1/4*r**4 + 0 + 1/4*r**2 = 0.
-1, 0
Let f be (-47)/(-4) - (-14)/56. Suppose -3*u**2 + u**2 + 18 - f*u + 4*u**2 = 0. Calculate u.
3
Let l(o) = 3*o**2. Let i be l(-1). Factor -3*w**i - 5*w**4 - 4*w + 5 - 5 - w**2 + 13*w**2.
-w*(w - 1)*(w + 2)*(5*w - 2)
Let j(w) = 4 - 2*w**4 + w**2 - 4*w**2 - 3*w**2. Let h(p) = p**4 + p**3 + p**2 - p - 1. Let t(i) = -4*h(i) - j(i). Factor t(m).
-2*m*(m - 1)*(m + 1)*(m + 2)
Suppose -3*c = c - 12. Let 4*l**2 - l**c - 9*l**2 + 5*l**2 = 0. Calculate l.
0
Suppose -5*h + 20 = -0. Let o = h + -2. Factor -10*y**3 - 5*y**2 + y**o + 0*y**2.
-2*y**2*(5*y + 2)
Let j(s) be the third derivative of -s**6/20 + s**5/30 + 3*s**2. What is c in j(c) = 0?
0, 1/3
Factor 5*t**2 - t**2 + 52*t**3 + 4*t - 42*t**3 + 10*t**2.
2*t*(t + 1)*(5*t + 2)
Let t = 12 - 24. Let p be (-3)/t*0/(-1). Determine o, given that -10/13*o**3 + 4/13*o**2 + p + 0*o + 6/13*o**4 = 0.
0, 2/3, 1
Suppose 5 - 21 = -4*r + 2*n, -12 = 3*n. Let i be ((-1)/r)/((-10)/24). Factor 0*j - i*j**3 + 0 - 2/5*j**5 + 6/5*j**4 + 2/5*j**2.
-2*j**2*(j - 1)**3/5
Let -8/7 - 2/7*t**2 + 8/7*t = 0. What is t?
2
Let m be 64/12*3/2. Factor 2 - 1 - m*a**2 + 4*a + 1 + 10*a**2.
2*(a + 1)**2
Let 2*w**4 + 8*w - 3 - 4*w**3 + 0*w**4 - 6*w**2 + 11 = 0. Calculate w.
-1, 2
Factor 0*s**4 + 2/5*s**2 + 4/5*s**3 - 1/5*s**5 - 2/5 - 3/5*s.
-(s - 2)*(s - 1)*(s + 1)**3/5
Let c(p) = p**3 - 8*p**2 - 2*p + 16. Let o be c(8). Factor o - 1/5*l**4 + 0*l + 0*l**2 - 1/5*l**3.
-l**3*(l + 1)/5
Let a be (-165)/35 - 6/21. Let j(q) = -2*q**2 - 4*q + 3. Let z(i) = 2*i**2 + 4*i - 4. Let c(b) = a*z(b) - 6*j(b). What is g in c(g) = 0?
-1
Let m(k) be the first derivative of -k**4/10 + 4*k**3/15 - k**2/5 + 4. Determine h so that m(h) = 0.
0, 1
Factor 3*z**2 - 1 + 9 - 2 - 9*z.
3*(z - 2)*(z - 1)
Factor -3*b**4 + b**4 + 3*b**5 + 6*b**2 - 3*b - 4*b**4.
3*b*(b - 1)**3*(b + 1)
Let s(f) be the first derivative of 3*f**4/8 + 3*f**3/2 - 3*f**2 + 27. Solve s(c) = 0.
-4, 0, 1
Let l(n) = -n**2 + 4*n + 9. Let y be l(5). Let -y*w**2 - 4*w - 2*w + 2*w = 0. What is w?
-1, 0
Let u(h) = 25*h**5 - 124*h**4 + 209*h**3 - 166*h**2 + 56*h - 4. Let k(f) = -f**4 - f + 1. Let c(w) = -4*k(w) + u(w). Find d such that c(d) = 0.
2/5, 1, 2
Let d(g) be the third derivative of g**6/90 + g**5/9 + 2*g**4/9 - 12*g**2 + 1. What is t in d(t) = 0?
-4, -1, 0
Suppose r - 9 = -2*r. Suppose 2*g = -5*u - 4 - 17, -35 = -5*g + 5*u. Determine p, given that 0 + 1/2*p + 3/2*p**r - 2*p**g = 0.
0, 1/3, 1
Let j(f) be the first derivative of f**6/16 + 13*f**5/40 + 19*f**4/32 + 11*f**3/24 + f**2/8 - 29. Determine p so that j(p) = 0.
-2, -1, -1/3, 0
Let v(y) be the first derivative of y**4/20 + y**3/5 - 2. Factor v(i).
i**2*(i + 3)/5
Let y = 137 - 683/5. Factor -2/5 + 2/5*f**2 - y*f + 2/5*f**3.
2*(f - 1)*(f + 1)**2/5
Let q(v) = -7*v**2 - 4. Let k(u) = -u**2 - 1. Let j(n) = 4*k(n) - q(n). Find h, given that j(h) = 0.
0
Let c(v) be the second derivative of v**7/70 - v**6/25 - 3*v**5/25 + v**4/10 + 3*v**3/10 - 3*v. Suppose c(x) = 0. Calculate x.
-1, 0, 1, 3
Let o(j) be the third derivative of j**8/896 + j**7/70 + 5*j**6/64 + 19*j**5/80 + 7*j**4/16 + j**3/2 + 4*j**2. Find y such that o(y) = 0.
-2, -1
Let w(x) = x**2 + 3*x + 1. Let s be w(-1). Let t(z) = -2*z**3 - z**2 - z. Let b be t(s). Solve -1/4*c + 0 + 1/4*c**b = 0.
0, 1
Let r(p) be the third derivative of p**8/1344 - p**7/120 + 17*p**6/480 - 17*p**5/240 + p**4/16 + 9*p**2 + 3*p. Factor r(y).
y*(y - 3)*(y - 2)*(y - 1)**2/4
Let s be (320/300)/(6/15). What is x in -2*x - 4/9 - s*x**2 - 10/9*x**3 = 0?
-1, -2/5
Let u(a) = 3*a**3 - 3*a**2 + a - 3. Let n(f) = -16*f**3 + 15*f**2 - 4*f + 16. Let z(p) = -6*n(p) - 33*u(p). Suppose z(r) = 0. What is r?
1
Solve 8*y**2 + 6*y - 2*y + 4*y**3 + 0*y**3 = 0 for y.
-1, 0
Let i(v) be the first derivative of -27*v**5/10 - 87*v**4/8 - 33*v**3/2 - 45*v**2/4 - 3*v + 10. Factor i(s).
-3*(s + 1)**3*(9*s + 2)/2
Let w(x) be the first derivative of -x**4/30 + 4*x**2/15 - 9. Factor w(q).
-2*q*(q - 2)*(q + 2)/15
Let m(z) = z**3 + 5*z**2 - z. Let u be m(-5). Find k, given that k**4 - k**2 - k**u + k**2 + 0*k**5 = 0.
0, 1
Suppose -7 - 1 = -2*c. Suppose -3*a + 3*n = -8 - c, a = -2*n + 4. Factor -6*y**4 + a*y**4 - y**5 + 4*y**2 - 2*y + 4*y**3 - 2 - y**5.
-2*(y - 1)**2*(y + 1)**3
Let a(c) be the third derivative of -1/40*c**6 + 0 + 1/112*c**8 + 1/70*c**7 - 3*c**2 - 1/20*c**5 + 0*c**3 + 0*c + 0*c**4. Let a(s) = 0. What is s?
-1, 0, 1
Let w(j) = 14*j**2 + 4*j. Suppose 1 = h - 4. Let d(m) be the first derivative of -7*m**3/3 - m**2 - 8. Let g(o) = h*d(o) + 3*w(o). Solve g(u) = 0 for u.
-2/7, 0
Let x(b) be the first derivative of 0*b**2 + 1/30*b**6 + 0*b - 1/15*b**3 - 3/25*b**5 + 3/20*b**4 - 1. Suppose x(y) = 0. What is y?
0, 1
Factor 0 + 45/2*l**2 - 2*l**3 - 11/2*l.
-l*(l - 11)*(4*l - 1)/2
Factor -1/4*t**2 - 1/4*t + 1/2.
-(t - 1)*(t + 2)/4
Let w(a) be the first derivative of a**6/2 - 6*a**5/5 - 3*a**4/2 + 4*a**3 + 3*a**2/2 - 6*a - 13. Find h such that w(h) = 0.
-1, 1, 2
Let i(v) be the first derivative of -v**3/2 + 9*v**2/4 - 3*v + 10. Solve i(k) = 0 for k.
1, 2
Factor 1/2*w**3 + 0*w + 0*w**2 + 0.
w**3/2
Let b(d) be the third derivative of -11*d**5/100 + 9*d**4/40 + d**3/5 - 17*d**2. Let b(h) = 0. What is h?
-2/11, 1
Let h(p) = p**2 + 2*p - 1. Let s be h(-2). Let k be (s - -6) + 0 + 1. Find n, given that -13/2*n**2 + k*n + 3*n**3 - 1/2*n**4 - 2 = 0.
1, 2
Let t(a) = -8*a**3 + 12*a**2 - 12. Let y(n) = n**3 + n**2 + n - 1. Let s(x) = -t(x) - 4*y(x). Let s(k) = 0. Calculate k.
-1, 1, 4
Let m be ((-9)/45)/((-4)/10). Factor -1/2*k**2 + 0 - m*k + 1/2*k**4 + 1/2*k**3.
k*(k - 1)*(k + 1)**2/2
Let i = -618/5 - -124. Determine z so that 0 + 2/5*z**2 - i*z = 0.
0, 1
Let f(p) be the first derivative of p**9/6048 - p**8/3360 - p**7/1680 + p**6/720 + 4*p**3/3 - 5. Let s(x) be the third derivative of f(x). Factor s(h).
h**2*(h - 1)**2*(h + 1)/2
Let x(y) = 6*y**2 - 9*y - 1. Let w(d) = d**2 - d - 1. Let r(k) = 15*w(k) - 3*x(k). Factor r(c).
-3*(c - 2)**2
Factor 3/7 + 12/7*d + 12/7*d**2.
3*(2*d + 1)**2/7
Find t such that -2/3*t**2 + 10/3*t - 8/3 = 0.
1, 4
Let w(k) = 7*k**2 + 7*k - 6. Let i(x) = -x**2 - x + 1. Let z(m) = -6*i(m) - w(m). What is n in z(n) = 0?
-1, 0
Suppose 2*s = 4*t + 20, -t + 4*s - 28 = 3*t. Let m be t/1*(-3)/3. Suppose -9*o + o**3 + 0*o**4 + 6 - 3*o**4 + 0 - 3*o**2 + 8*o**m = 0. Calculate o.
-1, 1, 2
Let u = -1412/99 - -130/9. Factor -4/11*n - u - 2/11*n**2.
-2*(n + 1)**2/11
Factor 4*k + 2/3*k**2 + 6.
2*(k + 3)**2/3
Let y(z) be the second derivative of z**7/1260 - z**6/360 + z**4/4 + 3*z. Let p(k) be the third derivative of y(k). Factor p(f).
2*f*(f - 1)
Let x(v) be the second derivative of 0 - 1/4*v**2 + 1/60*v**6 - 1/6*v**3 - v + 1/20*v**5 + 0*v**4. Suppose x(t) = 0. What is t?
-1, 1
Solve v + 0 - 1/3*v**2 = 0.
0, 3
Suppose -19 = 3*h + 5*q, 5*h + q - 5 + 0 = 0. Determine l so tha