y(a).
4*a**2*(a - 1)*(a + 1)*(a + 3)
Let -2/7*s**2 + 0*s**3 + 1/7*s**4 + 1/7 + 0*s = 0. Calculate s.
-1, 1
Let o(n) be the first derivative of -n**4/9 - 2*n**3/3 - 4*n**2/3 - 4*n + 2. Let q(r) be the first derivative of o(r). Determine i, given that q(i) = 0.
-2, -1
Let x be 2/(22/(-330)*(-1 + -5)). Let 21/2*u**3 + 27/4*u + 12*u**2 + 3/2 + 9/2*u**4 + 3/4*u**x = 0. Calculate u.
-2, -1
Let u = -406 + 408. Find a, given that -4/5*a**u + 4/5 + 2*a - 2*a**3 = 0.
-1, -2/5, 1
Suppose b = 3*b - 12. Suppose -5*r - 2 = -b*r. Find c, given that -r - 1/2*c**2 + 2*c = 0.
2
Let m(u) be the second derivative of -2*u**4/3 - 4*u**3/3 + 7*u. Suppose -4*x - 16 + 0 = 0. Let k(y) = 3*y**2 + 3*y. Let r(i) = x*m(i) - 11*k(i). Factor r(t).
-t*(t + 1)
Let k(p) be the third derivative of p**6/10 + p**5/10 - 7*p**4/32 + p**3/8 - 29*p**2. Factor k(n).
3*(n + 1)*(4*n - 1)**2/4
Let v(t) be the first derivative of -t**4/18 + t**2/3 + 3*t + 1. Let q(z) be the first derivative of v(z). Let q(i) = 0. What is i?
-1, 1
Let r(p) = 7*p**2 - 24*p + 8. Let z(u) = u**2 - 2*u + 1. Let n(j) = 3*r(j) - 24*z(j). What is h in n(h) = 0?
-8, 0
Factor -4 + 5*o + o - 8*o + 0*o**2 + 2*o**2.
2*(o - 2)*(o + 1)
Let g be (1 - (-1 + 2))/(-1). Let s = 57 + -283/5. Let 0*l + g*l**2 + s*l**3 + 0 - 2/5*l**4 = 0. Calculate l.
0, 1
Let f(x) be the third derivative of x**6/420 + x**5/105 + x**4/84 - 21*x**2. Factor f(q).
2*q*(q + 1)**2/7
Let i = -5 - -9. Let b(w) be the second derivative of -3/2*w**i + 0*w**2 - w + 0 + 2/3*w**3. Factor b(a).
-2*a*(9*a - 2)
Let w(s) be the third derivative of s**5/20 - s**4/4 - 3*s**3/2 - 12*s**2. Let w(b) = 0. Calculate b.
-1, 3
Suppose 4*g + 0 = 8. Let t be (-4)/10*(g + -7). Factor -6*q**4 - 4 + 11*q**t - 2*q + 4 + 2*q**3 - 5*q**2.
-2*q*(q - 1)*(q + 1)*(3*q - 1)
Let x(r) be the first derivative of 2/15*r**5 + 0*r**2 - 4 + 0*r**4 + 0*r - 2/9*r**3. What is d in x(d) = 0?
-1, 0, 1
Let y = -343/12 - -100/3. Find s, given that 15/4*s**2 + 7/4*s**4 - 1/4*s - y*s**3 - 1/2 = 0.
-2/7, 1
Find p such that -8 - 2*p**3 - 8*p**2 + 26 + 10*p - 18 = 0.
-5, 0, 1
Let j(r) = -18*r**2 + 18*r - 2. Let v(b) = -36*b**2 + 35*b - 3. Let n(f) = -13*j(f) + 6*v(f). What is o in n(o) = 0?
2/3
Solve 1/3*f**2 + 1/3*f**3 + 0 + 0*f = 0 for f.
-1, 0
Let w(t) be the first derivative of -3*t**5/20 + 3*t**4/16 - 14. Factor w(v).
-3*v**3*(v - 1)/4
Let d(w) = 4*w**2 - 2*w**2 + 3*w - 3*w - 3*w. Let j be d(2). Factor -2/3*c - 1/3*c**j - 1/3.
-(c + 1)**2/3
Let p = 2 - 6. Let u(l) = -3*l. Let a(m) = m**2 - 3*m. Let g(x) = p*u(x) + 3*a(x). Factor g(d).
3*d*(d + 1)
Determine h so that 9 + 3*h + h**2 + 0*h**2 + 3*h = 0.
-3
Suppose -10 = -5*q - 4*p, -p - 6 = -9*q + 6*q. Factor 1/4*o + 1/2*o**4 + 1/2 - 3/2*o**q + 1/4*o**3.
(o - 1)**2*(o + 2)*(2*o + 1)/4
Let g(u) be the second derivative of -u**5/120 - u**4/72 - 3*u. Suppose g(v) = 0. Calculate v.
-1, 0
Let c(a) = -9*a**4 - 32*a**3 + 6*a**2 - 17*a. Let o(q) = -3*q**4 - 11*q**3 + 2*q**2 - 6*q. Let n(z) = -6*c(z) + 17*o(z). What is p in n(p) = 0?
-2, 0, 1/3
Let x(q) = q + 6. Let n = -5 - -1. Let y be x(n). Determine h, given that 2*h**4 + 0*h**4 + 3*h**y - 5*h**4 = 0.
-1, 0, 1
Let c be (-4 + -1)*30/25. Let x = -3 - c. What is k in -k + 2*k**2 + 4*k - x*k - 2*k = 0?
0, 1
Let j(h) be the first derivative of -h**8/560 + h**7/140 - h**6/120 - h**3 + 1. Let s(o) be the third derivative of j(o). Find p such that s(p) = 0.
0, 1
Let m(g) be the first derivative of -5*g**6/6 - 2*g**5 - 35. Let m(d) = 0. What is d?
-2, 0
Let y(u) be the first derivative of 0*u**4 + 1/60*u**6 - 1/4*u**2 - 3*u - 1/6*u**3 - 2 + 1/20*u**5. Let j(c) be the first derivative of y(c). Factor j(l).
(l - 1)*(l + 1)**3/2
Factor 0*i**2 - 6/5*i**3 + 6/5*i**4 + 0*i + 0.
6*i**3*(i - 1)/5
Let v(r) = -r**2 - 8*r - 9. Let j be v(-6). Determine q so that 46*q**2 + 3*q**4 + 94*q + 9*q**j + 48 + 21*q**3 + 53*q**2 + 26*q = 0.
-4, -1
Let r(k) be the first derivative of k**7/840 - k**5/120 + k**3/24 + k**2/2 + 4. Let f(t) be the second derivative of r(t). Determine s, given that f(s) = 0.
-1, 1
Let k be (3/(-6) + 2)/3. Let h(d) be the second derivative of -1/12*d**4 + 2*d - k*d**2 - 1/3*d**3 + 0. Determine w so that h(w) = 0.
-1
Let m be 2/8*-10*-10. Let n = -4 - -7. Solve 8*c**3 - 4*c - 4 + 5*c**4 - c**2 - 49*c**n + m*c**5 + 20*c = 0 for c.
-1, 2/5, 1
Suppose -5*v + 10*v = -5*o - 70, 0 = -v + 5*o - 38. Let w be (8/v)/((-20)/15). Factor w*j**3 + 2/3*j**2 + 0 + 1/3*j.
j*(j + 1)**2/3
Let r(o) be the second derivative of -2*o**7/3 - 6*o**6/5 - 2*o**5/5 - 5*o. Solve r(x) = 0 for x.
-1, -2/7, 0
Let y(o) = -o**3 - o**2. Let v(b) be the first derivative of -b**4/2 + 2*b**3/3 + 3*b**2 + 2*b + 2. Let f(j) = v(j) - 4*y(j). Factor f(n).
2*(n + 1)**3
Let d(s) be the first derivative of -s**5/180 - s**4/72 - 3*s**2/2 - 1. Let x(p) be the second derivative of d(p). Determine q, given that x(q) = 0.
-1, 0
Let y be 4/126*18 + (-4)/(-42). Suppose y*g - 4/3*g**3 + 2/3*g**2 + 0 = 0. Calculate g.
-1/2, 0, 1
Let u(k) = 17*k**2 + k + 4. Let p(o) = -17*o**2 - o - 5. Let b(r) = 4*p(r) + 5*u(r). Let s be b(-1). Solve -18*w**2 - 8/3 - s*w + 40/3*w**3 = 0 for w.
-2/5, -1/4, 2
Suppose 3*b + b - 32 = -4*o, 0 = -4*b + 5*o - 4. Suppose w**b + 2*w + 2*w**2 - 5*w**2 + w**3 - 3*w + 2 = 0. What is w?
-2, -1, 1
Let x be (-92)/(-138) + -2*2/6. Let x*p + 3/5*p**5 + 0*p**4 + 0*p**2 + 0 - 3/5*p**3 = 0. Calculate p.
-1, 0, 1
Let z(b) = -b**3 + b**2 - 3*b - 3. Let v(p) be the third derivative of -p**6/60 + p**5/30 - p**4/6 - 2*p**3/3 - p**2. Let y(d) = -3*v(d) + 4*z(d). Factor y(w).
2*w**2*(w - 1)
Let b(n) = -n**2 - 9*n + 2. Let r = 27 - 36. Let q be b(r). Let 0*k**3 + 0 + 1/2*k**q - 1/2*k**4 + 0*k = 0. Calculate k.
-1, 0, 1
Let z(j) = j**4 + j**3 + j**2 - j + 1. Let u(y) = -5*y**4 - 7*y**3 - 5*y**2 + 3*y - 3. Let q(o) = -u(o) - 3*z(o). Factor q(f).
2*f**2*(f + 1)**2
Suppose 3*f = 2*b + 23, b - f = 5*b + 67. Let j be (-1)/(-2)*b/(-4). Factor -21*r + 3*r**3 - j - 4 + 6*r**2 + 18*r**3.
3*(r - 1)*(r + 1)*(7*r + 2)
Let i(z) be the second derivative of -49*z**5/110 + 7*z**4/22 + 8*z**3/11 + 4*z**2/11 - 3*z. Solve i(j) = 0 for j.
-2/7, 1
Let x be (-1 - -2)/(30/8 - 2). Factor -2/7*m**2 - 6/7*m - x.
-2*(m + 1)*(m + 2)/7
Let r be (14 + (-2717)/195)/(2/6). Factor -1/5 - 1/5*j + 1/5*j**3 + r*j**2.
(j - 1)*(j + 1)**2/5
Let l(n) be the first derivative of 1/2*n**4 - 2 - 1/6*n**6 + 0*n**3 + 0*n - 1/2*n**2 + 0*n**5. Factor l(d).
-d*(d - 1)**2*(d + 1)**2
Let g(s) = s**2 - 2*s - 33. Let o be g(-5). Let p(y) be the third derivative of 0*y**4 + y**o + 1/90*y**5 - 1/9*y**3 + 0*y + 0. Factor p(x).
2*(x - 1)*(x + 1)/3
Let c(z) = -2*z + 2. Let x be c(1). Let o(y) be the second derivative of 2/9*y**3 + x + 0*y**2 - 1/18*y**4 + y. Factor o(k).
-2*k*(k - 2)/3
Let t be -14*((-54)/(-105))/(-3). What is a in t - 12/5*a + 3/5*a**2 = 0?
2
Let u(g) be the first derivative of -g**4/22 - 8*g**3/33 - 4*g**2/11 + 1. Solve u(h) = 0.
-2, 0
Let w = -2 - 2. Let p(z) = -2*z - 6. Let g be p(w). Find m such that -5 + g - m**2 - 4*m - 1 = 0.
-2
Let s = -2 + 7. Let g(i) be the third derivative of -1/10*i**s - 1/60*i**6 + 0 - 1/4*i**4 + 0*i - 1/3*i**3 + 2*i**2. Suppose g(o) = 0. Calculate o.
-1
Factor 0 - 3/7*x**4 + 3/7*x**2 - 3/7*x**3 + 3/7*x.
-3*x*(x - 1)*(x + 1)**2/7
Let z = 310 + -1239/4. Find c, given that 3/2*c + z*c**2 + 9/4 = 0.
-3
Let o(m) be the first derivative of m**3/18 - m**2/3 + 2*m/3 - 12. Let o(x) = 0. Calculate x.
2
Let u(g) be the second derivative of -g**4/18 - 2*g**3/3 + 7*g**2/3 - g + 18. Factor u(c).
-2*(c - 1)*(c + 7)/3
Let m = -483 - -499. What is x in -16/5 + m*x**4 + 158/5*x**3 + 8/5*x + 116/5*x**2 + 14/5*x**5 = 0?
-2, -1, 2/7
Let b be 4/7 + 4/(-14). Let u = -299 - -299. Determine p so that -2/7*p**2 + b*p + u + 2/7*p**4 - 2/7*p**3 = 0.
-1, 0, 1
Let v(j) = 55*j**2. Let r(b) = -b. Let k(a) = 5*r(a) + v(a). Factor k(f).
5*f*(11*f - 1)
Let w(g) be the first derivative of -g**4/16 + g**2/8 + 7. Determine y, given that w(y) = 0.
-1, 0, 1
Let s be 2/(-2) + (3 - 1). Let g be s - (3 + (-24)/7). Factor -6/7*y**3 + 0*y + 0 - g*y**4 + 4/7*y**2.
-2*y**2*(y + 1)*(5*y - 2)/7
Factor 1/2*h + 3/4 - 1/4*h**2.
-(h - 3)*(h + 1)/4
Let w be ((-1)/6)/((-17 + 7)/30). Factor 1/2*n**2 - 1/2 + w*n**3 - 1/2*n.
(n - 1)*(n + 1)**2/2
Let l(u) be the third derivative of -u**11/831600 + u**10/378000 - u**5/3