 x?
-1
Suppose -5*x + 2 + 3 = 0. Suppose -m = -3 + x. Find z, given that 2*z**4 + m*z - 2*z = 0.
0
Let t(a) = -31*a**2 - 14*a + 5. Let n(c) = 15*c**2 + 7*c - 2. Let z(s) = s**2 + 9*s + 4. Let x be z(-6). Let m(b) = x*n(b) - 6*t(b). Factor m(y).
-2*(3*y + 1)*(4*y + 1)
Let r(h) be the first derivative of h**3/6 + h**2/4 - 2. Suppose r(c) = 0. What is c?
-1, 0
Factor 1/11*i + 4/11 - 1/11*i**3 - 4/11*i**2.
-(i - 1)*(i + 1)*(i + 4)/11
Let x be -4 - (1 + (1 - 6)). Let h(v) be the first derivative of 0*v + 0*v**2 + 2/15*v**5 - 2 - 1/6*v**4 + x*v**3. Let h(i) = 0. Calculate i.
0, 1
Let l(a) be the first derivative of -a**4/16 - a**3/4 - 3*a**2/8 - a/4 - 7. Factor l(d).
-(d + 1)**3/4
Let s(f) be the first derivative of -f**3/3 - 3*f**2 - 6*f + 3. Let n be s(-4). Factor 1 - 2*d**2 + 6*d**2 - d**2 - d**3 + d - 4*d**n.
-(d - 1)*(d + 1)**2
Let b(i) = -620*i**3 - 380*i**2 - 5*i + 25. Let z(m) = 619*m**3 + 381*m**2 + 6*m - 26. Let n(d) = 6*b(d) + 5*z(d). Factor n(w).
-5*(5*w - 1)*(5*w + 2)**2
Let k(a) be the third derivative of 0*a**3 + 0*a - 1/90*a**5 + 1/36*a**4 + 0 + 1/315*a**7 - 1/180*a**6 + 6*a**2. What is p in k(p) = 0?
-1, 0, 1
Let o(g) be the first derivative of 0*g - 2/15*g**5 + 1/3*g**2 + 1/2*g**4 - 2/3*g**3 - 2. Factor o(b).
-2*b*(b - 1)**3/3
Let m = 41 - 37. Factor 0*p + 2/9*p**m + 0 + 2/9*p**2 - 4/9*p**3.
2*p**2*(p - 1)**2/9
Let n be (-2 + 1 - -3)*10/4. Suppose 1/4*b**4 + 1/4*b**3 + 0 + 0*b - 1/4*b**2 - 1/4*b**n = 0. What is b?
-1, 0, 1
Let g(s) = -6*s - 4. Let f(r) be the second derivative of r**4/12 - r**3 - 2*r**2 + r. Let v(b) = -2*f(b) + 3*g(b). Solve v(y) = 0.
-2, -1
Let v(g) = -g + 2. Let s be v(2). Suppose 0 = -4*w + 3*n + 5 + 20, -w + 2*n + 10 = s. What is q in 0*q**3 - 2*q**3 + 7*q**5 - 4*q**5 - 3*q**w + 4*q**4 = 0?
-1, 0, 2/3
Let i = -10 - -16. Let n(b) be the second derivative of 0 + 0*b**4 + 0*b**3 - 1/84*b**7 - 1/40*b**5 + 0*b**2 + 2*b - 1/30*b**i. Factor n(s).
-s**3*(s + 1)**2/2
Let q(t) be the second derivative of t**9/15120 + t**8/6720 + 5*t**4/6 - 8*t. Let k(u) be the third derivative of q(u). Factor k(l).
l**3*(l + 1)
Suppose 12 - 4 = 4*k. Find f such that -6*f + f**k + f**2 + 2*f = 0.
0, 2
Let q(j) be the first derivative of -j**6/2 - 6*j**5/5 - 3*j**4/4 + 6. Factor q(v).
-3*v**3*(v + 1)**2
What is n in -8/13 - 24/13*n + 10/13*n**4 - 2/13*n**2 + 24/13*n**3 = 0?
-2, -1, -2/5, 1
Let s(m) = -6*m**3 + 10*m**2 - 30*m + 22. Let f(q) = 5*q**3 - 11*q**2 + 30*q - 21. Let t(o) = -4*f(o) - 3*s(o). Factor t(a).
-2*(a - 3)**2*(a - 1)
Let x(c) be the first derivative of -c**2/2 + 10*c + 2. Let n be x(7). Factor -l**4 - 5*l + l**n + 5*l.
-l**3*(l - 1)
Let o(t) = 10*t**2 + 6*t + 24. Let a(n) = 6*n + 4. Let h be a(-3). Let z(m) = 2*m**2 + m + 5. Let u(f) = h*z(f) + 3*o(f). What is x in u(x) = 0?
-1
Let t(z) = 4*z**2 + 48*z + 139. Let y(v) = -2*v**2 - 24*v - 69. Let n(s) = -3*t(s) - 5*y(s). Find f, given that n(f) = 0.
-6
Let g(f) be the second derivative of -1/15*f**5 + 0*f**2 - 1/189*f**7 + 4/135*f**6 + 2/27*f**4 - 1/27*f**3 + 5*f + 0. Suppose g(t) = 0. Calculate t.
0, 1
Let z = 961/5 + -191. Let d = -78 + 398/5. What is m in -14/5*m + z + d*m**2 = 0?
3/4, 1
Let b(f) = 20*f**2 + 224*f + 972. Let v(h) = -13*h**2 - 149*h - 648. Let r(k) = -5*b(k) - 8*v(k). Factor r(q).
4*(q + 9)**2
Let -4*w + 16/5 + 4/5*w**2 = 0. What is w?
1, 4
Let m(a) be the third derivative of -a**5/6 + 25*a**4/24 - 5*a**3/3 + 14*a**2. Suppose m(o) = 0. Calculate o.
1/2, 2
Let l(w) be the second derivative of -w**5/40 + 3*w**4/8 - 5*w**3/4 - 25*w**2/4 - 5*w - 1. Determine g, given that l(g) = 0.
-1, 5
Let t be ((-2)/(-9))/(3 - (-2)/(-6)). Let j(y) be the first derivative of t*y**4 + 0*y + 1 + 0*y**3 - 1/6*y**2. Determine z so that j(z) = 0.
-1, 0, 1
Solve 0 - 4/11*w**2 - 14/11*w**3 + 0*w - 10/11*w**4 = 0 for w.
-1, -2/5, 0
Let u = -915/4 + 229. Solve 1/2*h**2 + u*h**3 + 0 - 1/4*h**4 + 0*h = 0.
-1, 0, 2
Let p be ((-192)/(-800))/(3/5). Let 0 - p*f - 2/5*f**2 = 0. Calculate f.
-1, 0
Let g(u) be the first derivative of u**7/168 - u**6/120 - u**5/80 + u**4/48 - u + 3. Let c(l) be the first derivative of g(l). Factor c(q).
q**2*(q - 1)**2*(q + 1)/4
Let r = -29/3 - -10. Factor 1/3*m - 1/3*m**3 + r*m**2 - 1/3.
-(m - 1)**2*(m + 1)/3
Find s, given that -3*s**3 + 3*s**2 + 8*s**3 + 20 + 7*s**2 - 35*s = 0.
-4, 1
Let t(l) be the first derivative of 3*l**5/5 - 3*l**4/4 - 3*l**3 + 3*l**2/2 + 6*l - 2. Factor t(z).
3*(z - 2)*(z - 1)*(z + 1)**2
Let l(j) be the first derivative of j**6/5 - 2*j**5/5 - j**4/3 + 4*j**3/3 - j**2 - 3*j - 6. Let f(c) be the first derivative of l(c). Factor f(v).
2*(v - 1)**2*(v + 1)*(3*v - 1)
Suppose 3*b = 1 + 2. Let h = 3 - b. Let 2*y**4 + 0*y**h + 4/3*y**3 + 0*y + 0 + 2/3*y**5 = 0. Calculate y.
-2, -1, 0
Let k(z) be the first derivative of -z**3 + 5. Factor k(s).
-3*s**2
What is v in 1 + 1 - 5*v**4 - 5*v**4 + 4*v**2 + 6*v - 2*v**5 - 4*v**3 + 4*v**4 = 0?
-1, 1
Suppose 0 = -0*y + y. Let c be (-2 - -4)*(1 + y). Factor -p**4 + p**4 - 3*p**3 + p**4 - p + p**2 + c*p**2.
p*(p - 1)**3
Suppose 9*d - d - 16 = 0. Let g = 11/2 + -5. What is f in -g*f - 1/4 - 1/4*f**d = 0?
-1
Let a(o) = -2*o - 2. Let n be a(-3). Factor b**2 + 8*b + 2*b**2 - n*b - 5*b**2.
-2*b*(b - 2)
Let t(a) be the second derivative of a**5/10 - a**4/3 - 7*a**3/3 - 4*a**2 + 9*a. Suppose t(z) = 0. Calculate z.
-1, 4
Let b(a) be the third derivative of 3*a**2 - 1/3*a**3 + 3/8*a**4 + 0*a + 1/30*a**7 - 3/40*a**6 + 0 - 1/12*a**5. Factor b(x).
(x - 1)**2*(x + 1)*(7*x - 2)
Let h(r) = -r**4 + r**3 + r**2 - r - 1. Let a(t) = -4*t**5 + 6*t**4 - 7*t**3 + 12*t**2 - 7*t - 6. Let i(l) = a(l) - 6*h(l). Factor i(g).
-g*(g - 1)**2*(2*g - 1)**2
Let k be 7 + -2 - 22/(-4). Determine b, given that -3 + 27/2*b - k*b**2 = 0.
2/7, 1
Let x(i) be the first derivative of i**7/105 - i**6/20 + i**5/10 - i**4/12 - 2*i**2 - 4. Let q(w) be the second derivative of x(w). Let q(f) = 0. Calculate f.
0, 1
Let b(i) = i**2 - 2. Let k be b(2). Factor -n**4 + 4*n**4 - k + 4*n - 2*n**3 - n**4 - 2*n**3.
2*(n - 1)**3*(n + 1)
Let r = -8 + 11. Suppose r*b = 5*b - 2. Let s(n) = -n**3 + n**2 - n. Let q(x) = -x. Let p(i) = b*s(i) - q(i). Factor p(g).
-g**2*(g - 1)
Let m(o) be the second derivative of 1/15*o**5 - 1/45*o**6 + 1/6*o**4 + 0 - 10*o + 4/3*o**2 - 8/9*o**3. Find v such that m(v) = 0.
-2, 1, 2
Let w(p) be the first derivative of -p**8/420 + p**7/168 - p**6/360 - p**3 + 5. Let n(r) be the third derivative of w(r). Find c such that n(c) = 0.
0, 1/4, 1
Let r be 14/(-20)*(-2 + 24/28). Let 2/5 - r*g - 6/5*g**2 = 0. Calculate g.
-1, 1/3
Let g(m) be the second derivative of m**7/147 - 4*m**6/105 + 2*m**5/35 + m**4/21 - 5*m**3/21 + 2*m**2/7 + 10*m. Factor g(i).
2*(i - 2)*(i - 1)**3*(i + 1)/7
Let z be (30/90)/((-5)/6 - -1). Factor -2/3*d**5 - 2*d**4 + 2*d + 2/3 + 4/3*d**z - 4/3*d**3.
-2*(d - 1)*(d + 1)**4/3
Let r(p) = -3*p**2 + 4*p - 4. Let x(a) = -a**2 + a. Let z(q) = r(q) - 2*x(q). Let u(v) = -v**2 + 3*v - 5. Let w(o) = -4*u(o) + 5*z(o). Solve w(m) = 0 for m.
-2, 0
Determine t, given that -76*t + 6*t**4 + 3*t**2 - 16*t**3 + 11*t**2 + 72*t = 0.
0, 2/3, 1
Let c be ((-8)/24)/((-2)/18). Let i(l) be the second derivative of -1/3*l**c - 3*l - 1/6*l**4 + 0*l**2 + 0. Factor i(a).
-2*a*(a + 1)
Let c be (-778)/(-194) + -1 - 3. Let p = 201/679 - c. What is o in 2/7*o**5 + 0*o**4 - 4/7*o**3 + 0 + 0*o**2 + p*o = 0?
-1, 0, 1
Let r be (-8)/12 + -12*(-4)/18. Factor 1/3 + 4/3*q + 4/3*q**3 + 1/3*q**4 + 2*q**r.
(q + 1)**4/3
What is v in v + 1/3*v**2 + 2/3 = 0?
-2, -1
Let g(x) be the first derivative of x**3 + 3*x**2/2 + 6. Factor g(p).
3*p*(p + 1)
Let x be (7/(-28))/((-30)/16 - -1). Factor -6/7*d**2 + 8/7 - x*d**3 + 0*d.
-2*(d - 1)*(d + 2)**2/7
Find m such that -4/3 + 0*m + 1/3*m**2 = 0.
-2, 2
Suppose 3*c - 3 = -h, -c + 5*h + 7 + 10 = 0. Let s(z) = -2*z**2 - 7*z + 4. Let x(m) = -m**2 - 6*m + 4. Let v(u) = c*s(u) - 3*x(u). Solve v(j) = 0.
2
Factor -1/5*o**2 + 1/5 + 0*o.
-(o - 1)*(o + 1)/5
Find y such that 0 - 10/11*y**2 + 6/11*y**3 + 4/11*y + 2/11*y**4 - 2/11*y**5 = 0.
-2, 0, 1
Let u(s) be the third derivative of 0 + 0*s**4 + 3*s**2 + 0*s + 0*s**3 - 1/30*s**5 + 1/120*s**6. Factor u(q).
q**2*(q - 2)
Let r(p) = p**2 + p. Let z = 1 - -2. Let v(b) = 2 + b - 5*b - 3*b**2 - z. Let g(u) = -2*r(u) - v(u). Find h, given that g(h) = 0.
-1
Let d = 15 + -10. Factor -d*s**3 + 2*s**