 2*x - x + n*x.
-3*x*(x - 1)*(x + 1)
Let n = 93 + -91. Suppose 2/3*c + 0 - 1/6*c**4 - 4/3*c**n + 5/6*c**3 = 0. Calculate c.
0, 1, 2
Let q(s) be the third derivative of -s**7/30 + 2*s**6/15 + 101*s**5/60 - 47*s**4/4 + 12*s**3 + 18*s**2. Factor q(i).
-(i - 3)**2*(i + 4)*(7*i - 2)
Suppose -2*o + 4*y = 7 + 13, -y = -5. Let f be o/(-2) - 0 - -2. Factor 3*d**2 + 4 - 2*d**2 - 7*d**f + 2*d.
-2*(d - 1)*(3*d + 2)
Suppose 5*y - 7 = -4*v, 4*v - 5*y = 2*v + 11. Let r(s) be the second derivative of 1/5*s**2 - 1/30*s**4 + 2*s + 0*s**v + 0. Determine g, given that r(g) = 0.
-1, 1
Let g = 23 + -21. Factor w**2 - w**2 - 1 - w**g - 2*w.
-(w + 1)**2
Let z(u) be the third derivative of u**6/90 + u**5/5 + 3*u**4/2 - 7*u**3/6 + 2*u**2. Let h(y) be the first derivative of z(y). Determine b, given that h(b) = 0.
-3
Let f be (-2 - 15/(-6))*0. Solve f*x**2 + 0 - 1/2*x**3 + 1/2*x = 0 for x.
-1, 0, 1
Let g(h) be the first derivative of -2*h**5/55 + 3*h**4/22 - 2*h**3/11 + h**2/11 + 13. Find q such that g(q) = 0.
0, 1
Find m, given that 20*m**2 + 2*m**3 - 10*m**3 - 5*m - 2*m + 3*m - 8 = 0.
-1/2, 1, 2
Let y = 7 - 13/2. Let u = -5/2 - -3. Solve -m + u*m**2 + y = 0 for m.
1
Let t(z) be the third derivative of -92/15*z**5 - 5/21*z**7 + 0*z - 16/3*z**3 + 2*z**6 + 0 + 8*z**4 - 2*z**2. Factor t(q).
-2*(q - 2)**2*(5*q - 2)**2
Let i(l) be the first derivative of 2*l**5/75 + l**4/15 - 2*l**2/15 - 2*l/15 - 6. Factor i(r).
2*(r - 1)*(r + 1)**3/15
Let g(c) be the third derivative of c**6/120 - c**5/60 - c**4/12 + 7*c**2. What is q in g(q) = 0?
-1, 0, 2
Let c = 15761/80 + -197. Let w(u) be the second derivative of 0*u**2 - c*u**5 + 1/12*u**3 + 1/48*u**4 + 0 - 3*u. What is t in w(t) = 0?
-1, 0, 2
Let h(r) be the third derivative of r**5/105 + r**4/21 - 2*r**3/7 + 41*r**2. Determine p, given that h(p) = 0.
-3, 1
Let i(h) be the third derivative of -1/270*h**5 + 0 - 2*h**2 + 0*h**3 - 1/1512*h**8 - 1/180*h**6 + 0*h + 0*h**4 - 1/315*h**7. Suppose i(r) = 0. Calculate r.
-1, 0
Let i(j) be the third derivative of j**6/80 - 3*j**4/16 - j**3/2 - 26*j**2. Let i(l) = 0. Calculate l.
-1, 2
Let y be (2/(-8))/(51/(-102)). Factor 3/2*m**5 + y - m**3 + 5/2*m**4 - 1/2*m - 3*m**2.
(m - 1)*(m + 1)**3*(3*m - 1)/2
Let t(u) be the second derivative of 5*u**4/12 - 10*u**3/3 + 3*u - 11. Factor t(d).
5*d*(d - 4)
Suppose 0 = 22*w - 0*w. Let -o**2 - 2/3*o + w - 1/3*o**3 = 0. What is o?
-2, -1, 0
Suppose -7*c + 17*c = 20. Factor 2*w**4 - 1/2*w**5 - 3*w**3 + 0 + c*w**2 - 1/2*w.
-w*(w - 1)**4/2
Let m be (0 - 1/(-9)) + (-64)/576. Factor -3/2*z - 1/2*z**2 + m.
-z*(z + 3)/2
Let o(r) be the second derivative of 0 + 0*r**2 + 7*r - 1/147*r**7 + 0*r**5 + 1/21*r**3 + 2/105*r**6 - 1/21*r**4. Let o(c) = 0. Calculate c.
-1, 0, 1
Suppose 2*z + 9 = -3*s, 4*s - 6*s - 19 = -3*z. Factor -f**4 + f**2 + f**5 - f**3 + 4*f - f - z*f.
f**2*(f - 1)**2*(f + 1)
Let y(s) be the second derivative of -s**2 - s**4 - 2/5*s**5 - 2*s + 8/15*s**6 + 5/3*s**3 + 0. What is u in y(u) = 0?
-1, 1/2
Let r(i) be the second derivative of i**7/168 + i**6/60 - i**5/80 - i**4/24 + 16*i. Factor r(o).
o**2*(o - 1)*(o + 1)*(o + 2)/4
Let s(h) = 17*h**2 + 21*h + 4. Let u be 54/4 - 4/8. Let o(z) = 8*z**2 + 10*z + 2. Let m(b) = u*o(b) - 6*s(b). Find y, given that m(y) = 0.
-1
Let t(o) be the third derivative of -o**6/15 + o**5/5 - o**4/6 + o**2 - 16. Solve t(k) = 0 for k.
0, 1/2, 1
Let j(h) = h + 1. Let l be j(2). What is k in 3*k + l*k**3 - 2*k**3 - 3*k = 0?
0
Let j(a) be the third derivative of a**8/448 - a**7/56 + 7*a**6/160 + a**5/80 - a**4/4 + a**3/2 + 6*a**2. Solve j(q) = 0.
-1, 1, 2
Solve -56*r**4 - 3*r**3 + 28*r**4 + 31*r**4 - 15*r**2 - 9*r = 0 for r.
-1, 0, 3
Factor 0*v**3 - v + 3/2*v**2 - 1/2*v**4 + 0.
-v*(v - 1)**2*(v + 2)/2
Let t(q) be the first derivative of 5 + 2*q**2 - 2*q - 2/3*q**3. Suppose t(o) = 0. What is o?
1
Let q(h) be the third derivative of h**6/360 - 2*h**5/45 + 7*h**4/24 - h**3 + h**2 - 14. Find y, given that q(y) = 0.
2, 3
Suppose b - 4*b = -4*w + 5, 0 = -3*w + 3*b + 3. Suppose -s**w + 21 - 21 + s = 0. Calculate s.
0, 1
Let t be (1 + -9)/((-2)/4). Let q be (6/(-2) + 4)*14. What is x in x**2 - 2*x**5 + t - 20*x**3 - x + 19*x**2 + 10*x**4 - 9*x - q = 0?
1
Suppose 0 = -0*x + 3*x. Suppose -4*w + 2*i - i = -9, -2*w - 3*i + 1 = x. Solve -3*g**3 + w*g**2 - 2*g**4 + 2*g**5 - 2*g**3 + 3*g**3 = 0.
-1, 0, 1
Determine v so that -5*v**2 + 2*v**4 - 11*v - 3*v - 8*v - 8 - 2*v**3 - 13*v**2 = 0.
-1, 4
Let y(s) be the first derivative of 1/12*s**3 + 1/8*s**2 - 2 - 1/16*s**4 - 1/4*s. What is i in y(i) = 0?
-1, 1
Factor 6*q - q - 2*q + 0*q - 3*q**2.
-3*q*(q - 1)
Let o(j) be the first derivative of 0*j**2 + 1/4*j**4 + 3 + 0*j + 0*j**3 + 1/6*j**6 - 2/5*j**5. Solve o(g) = 0 for g.
0, 1
Let u(i) be the second derivative of i**4/54 + 8*i**3/27 + 16*i**2/9 + 3*i. Solve u(q) = 0.
-4
Let x = -16 - -28. Let s = x + -10. Factor -8/5 - 2/5*q**s + 8/5*q.
-2*(q - 2)**2/5
Solve 4/9*x**5 + 160/3*x + 100/3*x**3 - 580/9*x**2 - 16 - 20/3*x**4 = 0.
1, 6
Let i(o) be the first derivative of o**6/4 + 39*o**5/40 + 45*o**4/32 + 7*o**3/8 + 3*o**2/16 - 12. Factor i(x).
3*x*(x + 1)**3*(4*x + 1)/8
Let u(w) be the second derivative of -5*w**4/36 - 17*w**3/18 - w**2 + 9*w. Determine c, given that u(c) = 0.
-3, -2/5
Suppose h = 5*x - h + 53, -20 = -5*h. Let w(a) = -2*a**3 - 7*a**2 - 9. Let y(s) = s**3 + 3*s**2 + 4. Let p(u) = x*y(u) - 4*w(u). Let p(o) = 0. Calculate o.
0, 1
Suppose 2*g - g - 5 = 0. Suppose 0*c + 4 = 4*b - 2*c, 14 = 2*b + g*c. Factor 8*h**3 + 7*h**4 - 3*h**2 + h**5 + 2*h**5 - 5*h**3 - b*h.
h*(h + 1)**3*(3*h - 2)
Let u = 667/5 + -133. Factor 2/5*j**3 + 0 + 0*j**2 - u*j.
2*j*(j - 1)*(j + 1)/5
Determine c so that 2/3*c + 8/21 - 2/21*c**3 + 4/21*c**2 = 0.
-1, 4
Let m(r) = r**2 - 2*r + 1. Let z be m(-2). Let u = -7 + z. Find j, given that 3*j + 2*j**u + 0 + 1/3*j**3 = 0.
-3, 0
Suppose 5*b + 20 = -5*z + z, 4*b + 16 = 0. Let q be (24/4)/(z + 2). Let 11*n**4 - 4*n**5 + 2*n + 15*n**q + 8*n**2 + n**2 + 7*n**5 = 0. What is n?
-1, -2/3, 0
Let w be 1/(3/(-6)) - -5. Suppose 3*j - 4*j + w = 0. Factor -1 + 6*q**j - 10*q**2 - 2 + 5 + 2*q.
2*(q - 1)**2*(3*q + 1)
Let o(c) be the first derivative of 1 + 0*c**3 - 1/50*c**5 + c + 0*c**2 - 1/30*c**4. Let y(b) be the first derivative of o(b). Factor y(k).
-2*k**2*(k + 1)/5
Let w(r) be the first derivative of r**5/15 - 2*r**3/9 + r/3 + 4. Factor w(d).
(d - 1)**2*(d + 1)**2/3
Let a(f) be the first derivative of -f**5/10 + f**4/8 + f**3/6 - f**2/4 - 1. Factor a(x).
-x*(x - 1)**2*(x + 1)/2
Suppose -5*m + 7*m - 4 = 0. Factor 0 - 3*f - f**m + 2*f**2 + 2.
(f - 2)*(f - 1)
Let f(k) = k**3 + 17*k**2 + 24*k - 5. Let z(p) = -9*p**2 - 12*p + 3. Let y(d) = -6*f(d) - 13*z(d). Find n, given that y(n) = 0.
-1, 1/2, 3
Suppose 2*f - 14 = -3*i + 5, 26 = 2*i - 2*f. Let u be 3*(-2 - i/(-3)). Factor 0 - 4*h**4 - 1 - 4*h**u + 3*h**4 - 4*h - 6*h**2.
-(h + 1)**4
Find t, given that 64/9*t**2 + 4 - 10/9*t**3 - 38/3*t = 0.
2/5, 3
Let f = 20 - 40. Let h be (-46)/f + (-3)/(-6). Let -12/5*q**2 - 4/5 - h*q = 0. What is q?
-2/3, -1/2
Let o(j) = j**2 - 2*j + 2. Let k be 4/((-8)/6 + 2). Let d(y) = -y**2 + 3*y - 2. Let z(g) = k*o(g) + 5*d(g). Factor z(r).
(r + 1)*(r + 2)
Suppose 3*w - w - 4*w**4 - 8*w**2 - 2*w**5 + 12*w**2 = 0. What is w?
-1, 0, 1
Suppose 2*w = -14 + 2. Let s be w*((-10)/(-9))/(-5). Find y, given that s - 4/3*y + 1/3*y**2 = 0.
2
Let g(c) = c + 16. Let w be g(-11). Let k = 9 - 6. Factor w*b**3 + 4*b**2 - k*b**4 + 9*b**4 + 5*b**3.
2*b**2*(b + 1)*(3*b + 2)
Let v(t) be the second derivative of -2*t + 1/16*t**4 + 1/8*t**3 + 0 + 0*t**2. Factor v(d).
3*d*(d + 1)/4
Let s(a) = -a**4 + a**2 + 1. Let o(r) = -r**4 - 21 + 19 + 5*r**4 - 5*r**2. Let i(l) = o(l) + 3*s(l). Suppose i(t) = 0. Calculate t.
-1, 1
Factor -16/5*o**2 + 0 - 2/5*o**4 + 2*o**3 + 8/5*o.
-2*o*(o - 2)**2*(o - 1)/5
Let a(i) = 110*i**2 + 2*i - 2. Let w be a(2). Let h = -2196/5 + w. Factor -22/5*x - h*x**3 + 4/5 + 32/5*x**2.
-2*(x - 1)**2*(7*x - 2)/5
Let v(b) be the third derivative of 3*b**6/220 - 4*b**5/55 + 13*b**4/132 - 2*b**3/33 + 3*b**2. Factor v(s).
2*(s - 2)*(3*s - 1)**2/11
Let g = 676 + -672. Find y such that 7*y**3 + 1 + 1/2*y - 27/2*y**2 + 20*y**g = 0.
-1, -1/4, 2/5, 1/2
Suppose -3*q = 2*q + 15, 14 = w - 4*q. Factor -b**3 + b**3 + b**3 + 0*b - 3*b - w.
(b - 2)*(b + 1)**2
Let s(d) be the second deriva