i + 7*r**4 - r**3 - 3*r**2.
2*r**2*(r - 1)*(3*r + 2)
Let z(i) = i + 14. Let r be z(-11). Let -8/3 + 28/3*s + r*s**3 - 10*s**2 = 0. What is s?
2/3, 2
Let l(c) be the third derivative of c**7/735 + c**6/140 + c**5/70 + c**4/84 - 37*c**2. Factor l(g).
2*g*(g + 1)**3/7
Determine s so that 0 + 8/3*s**2 - 8/3*s**4 + 2/3*s**3 - 2/3*s = 0.
-1, 0, 1/4, 1
Suppose 25*d = 26 + 24. Solve 3/2*k + 9/4 + 1/4*k**d = 0 for k.
-3
Let y(j) be the third derivative of -j**5/10 + j**4/16 - 7*j**2. Solve y(p) = 0.
0, 1/4
Let a(s) = 3*s**3 + 2*s - 1. Suppose 2*z + 0*m + 14 = -4*m, 3*z - 5*m - 23 = 0. Let r be a(z). Find d, given that 0*d**r - 4*d**4 + d**5 - 4*d**3 - 2*d**5 = 0.
-2, 0
Let y(b) = -4*b**5 - 16*b**4 + 18*b**3 - 8*b**2 + 4*b - 6. Let m(f) = f**5 + f**4 - f**2 + 1. Let q(k) = -6*m(k) - y(k). Factor q(i).
-2*i*(i - 2)*(i - 1)**3
Suppose -5*y + 3*q = -52, 16 = y + 4*q + q. Suppose -14 = -r - y. Factor -1/2*w**2 + 1/2 + 7/4*w - 7/4*w**r.
-(w - 1)*(w + 1)*(7*w + 2)/4
Let w(v) = v**3 - 2. Let h be w(2). Suppose -h = -5*z + 4. What is d in -1/3*d**3 - 1/3*d + 0 - 2/3*d**z = 0?
-1, 0
Let h(k) be the third derivative of -7*k**5/510 - k**4/34 - 9*k**2. Determine r, given that h(r) = 0.
-6/7, 0
Let j(g) be the third derivative of -g**5/750 + g**4/25 - 12*g**3/25 + 22*g**2. Factor j(l).
-2*(l - 6)**2/25
Suppose 5*n + 87 = 3*l, -5*n - 4*l - 29 = -2*n. Let i = -10 - n. Find s, given that -3/5*s**4 - 3/5*s**3 - 1/5*s**2 - 1/5*s**i + 0 + 0*s = 0.
-1, 0
Let g(h) be the second derivative of -h**6/6 - h**5/2 + 5*h**4/12 + 5*h**3/3 - 5*h. Find m, given that g(m) = 0.
-2, -1, 0, 1
Let f(o) be the third derivative of o**6/1260 + o**5/210 + o**4/84 - 5*o**3/6 - 5*o**2. Let w(m) be the first derivative of f(m). Determine z so that w(z) = 0.
-1
Let j(y) be the third derivative of -y**5/510 - 5*y**4/204 - 2*y**3/17 + 30*y**2. Factor j(t).
-2*(t + 2)*(t + 3)/17
Let b(h) be the first derivative of 3 + 0*h + 1/5*h**2 - 2/15*h**3. Factor b(l).
-2*l*(l - 1)/5
Let o(t) be the third derivative of 1/105*t**5 + 0*t - 1/21*t**3 + 0*t**6 + 0*t**4 - 3*t**2 - 1/735*t**7 + 0. Solve o(a) = 0.
-1, 1
Let b = 17 + -15. Suppose -x + f + 4 = 0, 3*x - b*f = -2*x + 14. Factor -1/4*w**5 + 0 + 0*w**3 + 0*w + 1/4*w**4 + 0*w**x.
-w**4*(w - 1)/4
Factor -8/9*a**2 + 0 - 2/3*a - 2/9*a**3.
-2*a*(a + 1)*(a + 3)/9
Find w, given that 5/3*w - 5/3*w**5 - 10/3*w**2 + 0 + 0*w**3 + 10/3*w**4 = 0.
-1, 0, 1
Let u(y) be the second derivative of -y**6/120 + y**4/8 - y**3/3 - y**2/2 - y. Let t(z) be the first derivative of u(z). Let t(r) = 0. What is r?
-2, 1
Let u(o) be the second derivative of 0 + 8*o**3 - o - 6*o**2 - 5/4*o**4 - 15/4*o**5. Factor u(i).
-3*(i + 1)*(5*i - 2)**2
Let w(p) = 10*p**4 + 43*p**3 - 30*p**2 - 97*p - 47. Let d(j) = 5*j**4 + 21*j**3 - 15*j**2 - 49*j - 24. Let o(x) = 13*d(x) - 6*w(x). What is k in o(k) = 0?
-3, -1, 2
Factor -2/3*o**2 + 2/3*o + 4/3.
-2*(o - 2)*(o + 1)/3
Factor 10/13*h**2 - 2/13*h - 16/13*h**3 + 8/13*h**4 + 0.
2*h*(h - 1)*(2*h - 1)**2/13
Find u, given that -16/3*u - 2/3*u**2 + 6 = 0.
-9, 1
Let c(n) = n**3 + 7*n**2 + 4*n - 2. Let z be c(-7). Let x be (-12)/10*z/9. Factor -4*m**5 + 4*m**2 - 4*m**x + 2*m**5 - 2*m + 4*m.
-2*m*(m - 1)*(m + 1)**3
Let a(i) be the first derivative of i**4/18 - i**2/3 - 4*i/9 - 8. Factor a(x).
2*(x - 2)*(x + 1)**2/9
Let i(p) = p**2 - 9*p + 5. Let o(z) = 3*z**2 - 28*z + 16. Let n(q) = -7*i(q) + 2*o(q). Let u be n(6). Find v such that 2*v**3 - 2*v**2 - 3*v + u*v = 0.
0, 1
Find a, given that -2*a + 6*a - a - a - 2*a**3 = 0.
-1, 0, 1
Let i = -4 + 10. Suppose -2*t - 4*j = 0, j = -t + i*t - 22. Find n, given that n**5 + 2*n**3 + 6 - 3 - 2*n**5 + 2*n**2 - n - t - n**4 = 0.
-1, 1
Let o = 17 - 15. Let -3*p + 48 + o*p**2 - 21*p + p**2 = 0. Calculate p.
4
Let v(q) be the first derivative of -2*q**3/69 - 3*q**2/23 + 4. Solve v(y) = 0.
-3, 0
Suppose 0*w**2 + 0*w + 2/5*w**3 + 0 = 0. Calculate w.
0
Let a(u) = 5*u**4 - 24*u**3 + 89*u**2 - 120*u + 53. Let m(s) = 6*s**4 - 24*s**3 + 88*s**2 - 120*s + 54. Let o(w) = 4*a(w) - 3*m(w). What is f in o(f) = 0?
1, 5
Let t = 2 + 0. Let y = -5/2 - -4. What is x in 0 - y*x**t + 9/4*x**3 - x**4 + 1/4*x = 0?
0, 1/4, 1
Let k = -11 + 6. Let q be k/25*(0 - 2). Factor -2/5*u + q*u**2 - 4/5.
2*(u - 2)*(u + 1)/5
Solve 808*h - 1 - 807*h - h**3 + 4*h**2 - 3*h**2 = 0.
-1, 1
Let d = 6091/5 + -1217. Factor 0 + 9/5*q**3 + d*q**4 - 6/5*q**2 + 0*q.
3*q**2*(q + 2)*(2*q - 1)/5
Suppose 0 = 10*m - 18*m. Factor 2/3*n**4 - n**3 + m*n**2 + 1/3*n + 0.
n*(n - 1)**2*(2*n + 1)/3
Let y(o) be the third derivative of o**6/1080 - o**4/18 + o**3 + 5*o**2. Let f(q) be the first derivative of y(q). Suppose f(b) = 0. What is b?
-2, 2
Let r = 6897/7 + -983. Factor 10/7*h**2 + 2/7*h + r*h**3 + 8/7*h**4 + 0.
2*h*(h + 1)*(2*h + 1)**2/7
Factor -2 + 3*u**4 + u**4 + 4*u**3 + 2.
4*u**3*(u + 1)
Solve 6*w**2 + 0*w**2 + 20 - 15*w - 11*w**2 = 0.
-4, 1
Let x(m) be the third derivative of 0*m**3 - 1/36*m**4 + 1/45*m**5 + 0 - 1/180*m**6 + 0*m - m**2. Determine d so that x(d) = 0.
0, 1
Suppose -z + 9 = -0. Suppose -3 - 6*h**2 - 8*h + z + 2 = 0. Calculate h.
-2, 2/3
Let r(p) be the second derivative of -p**5/12 + 25*p**4/36 - 20*p**3/9 + 10*p**2/3 + 19*p. Find w such that r(w) = 0.
1, 2
Let m(w) be the third derivative of 0*w**3 - 5*w**2 - 1/75*w**5 + 1/300*w**6 + 0*w + 0 + 0*w**4. Factor m(a).
2*a**2*(a - 2)/5
Let y(k) = 13*k**3 - 25*k**2 + 29*k - 17. Let w(b) = -3*b**3 + 6*b**2 - 7*b + 4. Let x(d) = 9*w(d) + 2*y(d). What is j in x(j) = 0?
1, 2
Let q = 2/361 + 1430/2527. Factor q*p**2 + 0 - 2/7*p - 2/7*p**3.
-2*p*(p - 1)**2/7
Let t(x) = x**3 - 4*x**2 - 6*x + 7. Let q be t(5). Let 2*y + q*y + 7*y**2 - 4*y**4 + 2*y**3 + 3*y**2 = 0. What is y?
-1, -1/2, 0, 2
Find u, given that 3*u**3 + 51*u**4 - 6*u**2 + u**3 + 3*u**5 + 39*u**5 - u**3 = 0.
-1, -1/2, 0, 2/7
Let h(k) = -k**2. Let r(n) = -2*n**2 + 12*n + 8. Let w be (-27)/(-18) + (-10)/4. Let l(q) = w*r(q) + 6*h(q). Factor l(v).
-4*(v + 1)*(v + 2)
Factor -6*j**4 + 60*j**2 + 2*j**5 - 60*j**2 - 8*j**3.
2*j**3*(j - 4)*(j + 1)
Let c = 49/10 + -22/5. Let g(q) be the first derivative of -1 + 1/4*q**4 + 0*q + c*q**2 + 2/3*q**3. Determine d, given that g(d) = 0.
-1, 0
Let i be 12*-2*2/6. Let p(t) = -t - 8. Let f be p(i). Suppose -2/3*q**4 + 1/3*q**5 - 1/3*q + 2/3*q**2 + f + 0*q**3 = 0. What is q?
-1, 0, 1
Let z(l) = l**4 - l**3 + l**2 + l. Let m(f) = -6*f**4 + 10*f**3 - 20*f**2 - 16*f + 16. Let g(s) = -m(s) - 8*z(s). Solve g(h) = 0.
-2, 1, 2
Let u(k) = -k**2 - 13*k - 12. Let v be u(-12). Let j(g) be the second derivative of -1/8*g**2 + 1/80*g**5 + v - 1/16*g**4 + 1/8*g**3 + g. Solve j(r) = 0 for r.
1
Let r be (-2)/6 - 6/(-15). Let k(c) be the third derivative of 0 - r*c**3 - 1/30*c**4 + 2*c**2 + 1/150*c**6 + 0*c**5 + 1/525*c**7 + 0*c. Factor k(d).
2*(d - 1)*(d + 1)**3/5
Factor 342 + g**3 + 4*g**3 - 9*g**2 - 2*g - g**4 + 9*g - 344.
-(g - 2)*(g - 1)**3
Suppose u - 10 = 3*j + 1, -5*j - 5*u = -15. Let v be j/(-3) - (-10)/(-15). Factor 0 - 28/5*g**3 + v*g + 4/5*g**2 + 49/5*g**4.
g**2*(7*g - 2)**2/5
Solve -d**4 + 46/7*d**2 + 25/7 + 2/7*d**3 - 65/7*d - 1/7*d**5 = 0 for d.
-5, 1
Suppose -3*c = -40 + 10. Suppose -4 = 3*f - c. Find n, given that -3*n**3 + n**3 + 0*n + f*n = 0.
-1, 0, 1
Let z(j) = -6*j**3 + 15*j**2 + 21. Let y(b) = -b**3 + 3*b**2 + 4. Let m(g) = 21*y(g) - 4*z(g). Factor m(u).
3*u**2*(u + 1)
Let i = 2/89 - -350/267. Solve -1/3 - i*f - f**2 = 0.
-1, -1/3
Let t(k) be the second derivative of 9*k**6/10 + 3*k**5 - 41*k**4/4 - 32*k**3 - 18*k**2 - 26*k. Determine z, given that t(z) = 0.
-3, -1, -2/9, 2
Let x(k) be the second derivative of 0*k**2 - 1/60*k**5 + 0 + 1/180*k**6 + 5*k + 1/18*k**3 - 1/72*k**4. Let x(u) = 0. What is u?
-1, 0, 1, 2
Let i(s) be the third derivative of -s**5/180 + s**4/18 + 43*s**2. Factor i(d).
-d*(d - 4)/3
Factor 8/5 - 6/5*r + 1/5*r**2.
(r - 4)*(r - 2)/5
Let l = -4/19 + 27/38. Let d be ((-14)/7)/(-1*1). Factor -l - u - 1/2*u**d.
-(u + 1)**2/2
Let v(p) = p**3 + 5*p**2 + 4*p + 3. Let q = -11 + 7. Let h be v(q). Factor h*y**4 + 4*y**2 + 3*y**3 + 12*y**4 + 18*y**3 + 2*y**2.
3*y**2*(y + 1)*(5*y + 2)
Let r be ((-1)/(1 - 0))/((-3)/6). Find b such that 1/4 - b**r + 3/4*b = 0.
-1/4, 1
Let q = 15 + -11. Let h(x) be the first derivative of -7/12*x**q + 2 + 1/5*x**5 + 5/9*x**3 + 0*x - 1/6*x**2. Factor h(i).
i*(i - 1)**2*(3*i - 1)/3
Let