 = 2*b + 3*b - 17, 0 = -4*b + s + 14. Let a(o) = o + 1. Let l be a(-1). Suppose -k**3 + 2*k**5 - k**b + l*k**5 = 0. Calculate k.
-1, 0, 1
Let m(x) = x**2 - 2*x + 5. Let i be m(0). Let t(c) = 3*c**2 + 12*c + 6. Let b(d) = -2*d**2 - 11*d - 5. Let u(s) = i*t(s) + 6*b(s). Factor u(v).
3*v*(v - 2)
Let z(c) be the first derivative of 0*c - 1/15*c**5 + 0*c**2 + 1/18*c**6 - 1/12*c**4 - 4 + 1/9*c**3. Find y such that z(y) = 0.
-1, 0, 1
Suppose -a + 12 = 2*a. Let -12*d**3 - 2*d**2 + 19*d**3 + 0*d**5 - 2*d**5 - 13*d**3 - 6*d**a = 0. What is d?
-1, 0
Let 0*f + 0 + 2/7*f**2 + 2/7*f**3 = 0. Calculate f.
-1, 0
Let d = 74/39 - 16/13. Let q(h) be the first derivative of 0*h**2 + 0*h - 2 + d*h**3. Factor q(f).
2*f**2
Factor 2 + 1/2*i - 5/4*i**2 + 1/4*i**3.
(i - 4)*(i - 2)*(i + 1)/4
Factor 3*q**2 - 13*q**2 + 3*q - 2*q**2.
-3*q*(4*q - 1)
Let f(q) = -2*q**2 + 13*q**4 - 10*q**3 - 4*q**3 - 5*q**2 + q + 0*q**4. Let n(i) = 6*i**4 - 7*i**3 - 3*i**2 + i. Let y(d) = 3*f(d) - 7*n(d). Factor y(m).
-m*(m - 2)*(m - 1)*(3*m + 2)
Let c(f) be the third derivative of -f**9/45360 + f**7/2520 - f**6/1080 - f**4/6 - 8*f**2. Let n(p) be the second derivative of c(p). Factor n(u).
-u*(u - 1)**2*(u + 2)/3
Let g(x) be the first derivative of 2*x**3/15 - 6*x**2/5 + 18*x/5 + 22. Determine n so that g(n) = 0.
3
Let s be (-3)/(-9) + (-17)/(-3). Suppose -r = -4*r + s. Let 4*a + 4*a**3 + 3*a**3 + 14*a**r + 3*a**3 = 0. What is a?
-1, -2/5, 0
Suppose -4*a = 3*p - 21, 0 = 2*p - 0*a - 5*a - 14. Find f, given that -p*f**2 + 2*f - 4*f**3 + 3*f**2 + 6*f**3 = 0.
0, 1
Factor 52/9*k**3 + 0 - 16/3*k**4 - 8/3*k**2 + 16/9*k**5 + 4/9*k.
4*k*(k - 1)**2*(2*k - 1)**2/9
Suppose 0 = 5*q - 2*q + 5*x - 4, -5*q + 2*x = -17. What is f in -4*f**q - 2*f + 5*f**3 - f**2 + f + f**4 = 0?
-1, 0, 1
Let y(r) = -r**3 + r - 1. Let h(k) = -k**4 + 3*k**3 - 2*k + 2. Let m(i) = -5*h(i) - 10*y(i). Solve m(t) = 0.
0, 1
Let f(d) be the first derivative of -2*d**3/9 + 2*d/3 + 8. Find z such that f(z) = 0.
-1, 1
Let q = 20 + -3. Let d = q + -15. Let -81/2*l**3 - 27/2*l**4 - 1 - 19/2*l - 63/2*l**d = 0. Calculate l.
-2, -1/3
Let s(d) be the second derivative of 1/66*d**4 - 1/33*d**3 + 1/110*d**5 - 1/11*d**2 + 3*d + 0. Find w such that s(w) = 0.
-1, 1
Let r(l) be the second derivative of 2*l**7/105 - 2*l**6/15 + 37*l**5/100 - 8*l**4/15 + 13*l**3/30 - l**2/5 + 37*l. Solve r(a) = 0.
1/2, 1, 2
Let a(i) be the second derivative of -2*i + 1/4*i**4 + 2/3*i**3 + 0 + 1/2*i**2. Solve a(c) = 0.
-1, -1/3
Suppose 139*x**3 - 184*x**2 - 96*x**2 + 100*x + 36*x**3 + 21*x**3 = 0. Calculate x.
0, 5/7
Let o = -5311/7 - -759. Let o*z**5 - 4/7*z**3 - 8/7*z**2 + 4/7*z**4 + 2/7*z + 4/7 = 0. What is z?
-2, -1, 1
Factor -4/3*c**3 + 1 - 2/3*c**2 - 1/3*c**4 + 4/3*c.
-(c - 1)*(c + 1)**2*(c + 3)/3
Let o(i) = i**5 - i**4 + 10*i**3 + 7*i**2 + 5*i - 5. Let l(v) = -v**4 + v**3 + v**2 + v - 1. Let p(h) = 5*l(h) - o(h). Factor p(f).
-f**2*(f + 1)**2*(f + 2)
Let a(n) = -10*n**2 + 2*n - 11. Let k(o) = -o**2 - 1. Let q = -3 + 7. Let p(r) = q*a(r) - 44*k(r). Let p(u) = 0. Calculate u.
-2, 0
Let d be -1*2 - (-7)/7. Let f be (-1 + d)*(-6)/4. Factor -8*u**3 - 17*u**2 - 8*u**3 - 6*u**4 + f*u**2 - 4*u.
-2*u*(u + 1)**2*(3*u + 2)
Let p = -10 - -11. Factor -3 + 4 + p - v**3 + v + 0*v**3 - 2*v**2.
-(v - 1)*(v + 1)*(v + 2)
Let y(x) = 5*x**3 + 7*x**2 - x. Let u(p) = 20*p**3 + 28*p**2 - 3*p. Let l be 0 - 9*2/3. Let c(h) = l*u(h) + 22*y(h). Determine j so that c(j) = 0.
-1, -2/5, 0
Let d(y) be the third derivative of -y**9/720 - y**8/448 + y**7/420 + 5*y**4/24 - y**2. Let h(n) be the second derivative of d(n). Factor h(m).
-3*m**2*(m + 1)*(7*m - 2)
Let n(i) be the third derivative of 2*i**7/105 - i**5/10 - 3*i**2. Let x(q) = -q**4 + q**2 + 1. Let u(h) = -n(h) - 2*x(h). Find o, given that u(o) = 0.
-1, 1
Let g(l) be the second derivative of -16*l**5/45 - 40*l**4/27 - 34*l**3/27 - 4*l**2/9 - 11*l. Factor g(a).
-4*(a + 2)*(4*a + 1)**2/9
Let a(y) be the second derivative of -y**3/3 - y. Let z be a(-1). Suppose 2*j**z - 2/3*j + 0 = 0. What is j?
0, 1/3
Let r(y) be the second derivative of 2*y**3 + 6*y**2 - 6*y + 0 + 1/4*y**4. Factor r(v).
3*(v + 2)**2
Find d, given that -2*d**3 - 3*d + 84*d**2 - d**3 - 90*d**2 = 0.
-1, 0
Factor -4/3*u**3 - 2*u - 1/3 - 3*u**2.
-(u + 1)**2*(4*u + 1)/3
Solve 48*a**2 - 16*a**4 + 8*a**5 + 3*a**3 + 36*a + 3*a**5 - 7*a**5 - 11*a**3 = 0.
-1, 0, 3
Let k(u) be the second derivative of -u**7/7560 - u**4/6 - 2*u. Let a(n) be the third derivative of k(n). Solve a(j) = 0.
0
Find o such that -18*o + 3*o**2 + 20*o + 49 + 12*o - 2*o**2 = 0.
-7
Suppose 0 = 11*f + 51 - 84. Suppose 0*u - 1/3*u**f + 0 + 1/6*u**4 + 1/6*u**2 = 0. What is u?
0, 1
Let i = -127/3 - -43. Let u(a) be the second derivative of i*a**2 + 0*a**3 + 0 - 1/60*a**5 - 1/12*a**4 + 3*a. Suppose u(m) = 0. Calculate m.
-2, 1
Let v(d) be the first derivative of d**3 - 3*d + 20. Solve v(g) = 0.
-1, 1
Suppose 4*p + 2*a + 0 = 2, 0 = 4*p + 4*a + 4. Let 3*g**2 - g**3 - 2*g**p + g - 3 - 2*g**2 + 4 = 0. Calculate g.
-1, 1
Suppose 2*c + 10 = -v - 0*c, -3*v - 2*c - 10 = 0. Solve 2/7*q**2 - 4/7*q + v = 0 for q.
0, 2
Suppose b - 4*g = -4*b - 2, -4*b - g = -11. Let a be 10/4 + (-1)/b. Let r**a + r**2 + r - r**2 - r**4 - r**3 = 0. Calculate r.
-1, 0, 1
Let m be ((-4)/5)/(36/(-30)*1). Factor 1/3*k**4 + 1/3*k - m*k**3 + 1/3*k**5 + 1/3 - 2/3*k**2.
(k - 1)**2*(k + 1)**3/3
Let w(q) = 14*q**3 + 10*q**2 + 8*q. Let u(y) = -15*y**3 - 10*y**2 - 9*y. Let p(h) = -6*u(h) - 7*w(h). What is f in p(f) = 0?
-1, -1/4, 0
Let x(w) be the first derivative of -w**6/80 + 11*w**5/360 - w**4/72 + 7*w**2/2 + 7. Let k(a) be the second derivative of x(a). Let k(g) = 0. What is g?
0, 2/9, 1
Suppose -2*l = -5*l + 9. Let q(p) be the first derivative of 0*p - l + 1/5*p**3 - 3/10*p**2. Factor q(v).
3*v*(v - 1)/5
Let k(j) be the first derivative of 0*j**2 - 1/20*j**4 - 1/5*j**3 + 4/5*j - 1. Factor k(m).
-(m - 1)*(m + 2)**2/5
Let p(f) = f**2 - f + 1. Let b = -4 - -6. Let v(q) = -3*q + 3*q**2 - b*q**2 + q + q**3 + 1. Let u(k) = p(k) - v(k). Find l such that u(l) = 0.
-1, 0, 1
Let q(t) be the first derivative of 1/2*t**6 - 2 + 0*t**5 + 0*t + 0*t**3 - 3/2*t**4 + 3/2*t**2. Determine j, given that q(j) = 0.
-1, 0, 1
Let l(j) = -31*j - 124. Let m be l(-4). Factor -4/3*d**3 + 8/9*d**4 - 2/9*d + m + 8/9*d**2 - 2/9*d**5.
-2*d*(d - 1)**4/9
Let q(j) be the first derivative of -j**4/24 - 7*j**3/18 + 2*j**2/3 - 46. Factor q(x).
-x*(x - 1)*(x + 8)/6
Let g(j) be the third derivative of -3*j**2 + 3/245*j**7 + 0 - 1/210*j**6 + 0*j**4 - 3/392*j**8 + 0*j**5 + 0*j + 0*j**3. What is i in g(i) = 0?
0, 1/3, 2/3
What is c in 5*c**3 + 5*c**4 - 3*c**4 - 5*c**3 + 8*c**3 + 6*c**2 = 0?
-3, -1, 0
Let p(a) be the first derivative of -a**4/8 - a**3/6 + 2*a**2 + 6*a - 46. Factor p(i).
-(i - 3)*(i + 2)**2/2
Let s be (2*(-4)/(-504))/3. Let c(h) be the second derivative of 0*h**3 + 2*h + 1/90*h**5 + s*h**7 - 2/135*h**6 + 0 + 0*h**4 + 0*h**2. Factor c(u).
2*u**3*(u - 1)**2/9
Let t(c) = c**3 + 5*c**2 + 2*c - 3. Let u(r) be the first derivative of r**3/3 + r**2/2 - r - 5. Let h(m) = 3*t(m) - 15*u(m). Let h(q) = 0. What is q?
-2, 1
Let d = 481/44 + -43/4. Let 2/11*r + 0 + 4/11*r**2 + d*r**3 = 0. Calculate r.
-1, 0
Let s(b) = 18*b**3 + 70*b**2 + 63*b + 18. Let y(k) = -6*k**3 - 23*k**2 - 21*k - 6. Let v(d) = -2*s(d) - 7*y(d). Find z, given that v(z) = 0.
-2, -1, -1/2
Let z(y) be the second derivative of -2*y**6/15 + y**4/3 - 9*y. Factor z(a).
-4*a**2*(a - 1)*(a + 1)
Let w(d) = -1 + 0 - 2*d + d + d**2 - 4. Let h(o) = 1. Let s(f) = 5*h(f) + w(f). Factor s(g).
g*(g - 1)
Let x(b) be the second derivative of b**6/96 - 7*b**5/240 + b**4/48 + 2*b**2 - 2*b. Let i(n) be the first derivative of x(n). Factor i(y).
y*(y - 1)*(5*y - 2)/4
Suppose -6*k + 5 - 48*k**5 - 5 + 27*k**4 + 93*k**4 - 39*k**2 - 27*k**3 = 0. Calculate k.
-1/4, 0, 1, 2
Factor -8/7 - 64/7*u**2 - 44/7*u - 4*u**3.
-4*(u + 1)**2*(7*u + 2)/7
Let t = -2 + 12/5. Let q(a) be the first derivative of -3/10*a**4 - 1/5*a**2 - 2 - 2/25*a**5 + 0*a - t*a**3. Factor q(v).
-2*v*(v + 1)**3/5
Determine i so that -2/7*i**2 - 4/7*i + 6/7 = 0.
-3, 1
Let f(j) = 81*j**4 + 162*j**3 + 99*j**2 + 15*j - 9. Let m(z) = -z**2 - z - 1. Let x be -4 + (0 - 1)*-3. Let k(r) = x*f(r) + 9*m(r). Factor k(c).
-3*c*(3*c + 2)**3
Suppose 23*m = 31*m - 16. Let t = 50 + -448/9. Factor t*