 4*z**2 - 1/84*z**4 + 0*z**3 + 0*z. Suppose y(x) = 0. Calculate x.
0, 1
Find q, given that -1/5*q + 0 - 1/5*q**2 = 0.
-1, 0
Let a(d) be the first derivative of d**4/4 + d**3/3 + d + 6. Let x(f) = -5*f - 11*f**2 + f + 0*f**3 + 13*f**3 - 5. Let k(c) = -5*a(c) - x(c). Factor k(m).
-2*m*(3*m - 2)*(3*m + 1)
Let j(z) be the first derivative of -z**4/2 + 2*z**3/3 - 5. Factor j(l).
-2*l**2*(l - 1)
Let x(k) be the second derivative of 0 + 4*k - 2*k**3 + 4*k**2 + 1/3*k**4. Suppose x(m) = 0. What is m?
1, 2
Let f(x) be the first derivative of -x**6/270 + x**5/60 - x**4/108 - x**3/18 + x**2/9 + 2*x + 1. Let j(u) be the first derivative of f(u). Factor j(m).
-(m - 2)*(m - 1)**2*(m + 1)/9
Let v(f) be the first derivative of -3*f**5/5 + 15*f**4/4 + 6*f**3 - 48*f**2 - 96*f + 42. Solve v(l) = 0 for l.
-2, -1, 4
Let n(p) be the first derivative of 3*p**4/2 - 8*p**3/3 + p**2 - 1. Let u(a) = 19*a**3 - 25*a**2 + 7*a - 1. Let x(i) = -7*n(i) + 2*u(i). Factor x(z).
-2*(z - 1)**2*(2*z + 1)
Let j = -1112 - -1112. Factor 2/7*q**2 + j + 2/7*q.
2*q*(q + 1)/7
Let r(p) be the second derivative of -2*p**4/3 - 2*p**3 - 2*p**2 + 2*p. Let r(y) = 0. What is y?
-1, -1/2
Let h(i) be the second derivative of -i**7/2520 - i**6/240 - i**5/60 + i**4/6 + i. Let a(j) be the third derivative of h(j). Factor a(b).
-(b + 1)*(b + 2)
Let g(h) be the second derivative of -1/18*h**3 - 6*h + 0*h**2 + 0 + 0*h**4 + 1/60*h**5. Factor g(b).
b*(b - 1)*(b + 1)/3
Let d(b) = 3*b**4 - 3*b**3 - 9*b**2 - 9*b - 9. Let n = 24 - 33. Let c(q) = -q**2 - q - 1. Let x(u) = n*c(u) + d(u). Factor x(z).
3*z**3*(z - 1)
Let l(x) be the third derivative of 1/10*x**3 + 1/100*x**6 - 1/40*x**4 + 1/350*x**7 + 0 - 1/560*x**8 + 0*x - x**2 - 1/50*x**5. Factor l(i).
-3*(i - 1)**3*(i + 1)**2/5
Let h be (-1)/4 + 5/(120/14). Solve -1/3*y**2 + 0*y**3 + h*y**4 + 0 + 0*y = 0.
-1, 0, 1
Let l = 797 - 793. Solve -s**3 + 2*s**l - 2*s**2 + 3/2*s**5 - 1/2*s + 0 = 0 for s.
-1, -1/3, 0, 1
Let b(x) be the first derivative of 2/3*x**3 + 0*x + 1/900*x**6 - 1/300*x**5 - 2 - 1/30*x**4 + 0*x**2. Let h(c) be the third derivative of b(c). Factor h(s).
2*(s - 2)*(s + 1)/5
Let a(n) be the third derivative of n**5/180 - n**4/36 - 9*n**2. Factor a(r).
r*(r - 2)/3
Find c such that 56 + 4*c**2 + 32 + 56 - 48*c = 0.
6
Let x(t) = t**3 + t**2 + t - 1. Let r(m) = 8*m**3 - 28*m**2 + 68*m - 4. Let h(p) = -r(p) + 4*x(p). Find j such that h(j) = 0.
0, 4
Let y(k) be the first derivative of 3*k**5/10 + 3*k**4/8 - 3*k**3/2 - 3*k**2/4 + 3*k + 16. Let y(z) = 0. What is z?
-2, -1, 1
Let d(r) be the first derivative of 12*r**5/5 - 10*r**4 + 12*r**3 - 4*r**2 - 3. Factor d(t).
4*t*(t - 2)*(t - 1)*(3*t - 1)
Let k be (6/4)/((-21)/28). Let y be (-3)/(6/16*k). Solve -4*l**2 + l**3 + 9*l**4 - 3*l**y + l**3 = 0.
-1, 0, 2/3
Let q(w) be the second derivative of 6*w + 1/24*w**4 + 0*w**2 - 1/16*w**5 + 0 + 0*w**3 + 1/40*w**6. Factor q(b).
b**2*(b - 1)*(3*b - 2)/4
Let b(l) = l**2 + 9*l + 12. Let d be b(-7). Let z be 48/70 - d/(-7). Suppose 4/5 + z*j**2 - 6/5*j = 0. Calculate j.
1, 2
Suppose 3*l + 23 = 4*c - 0*l, 0 = c + l + 3. Suppose 5*b = c*b. Find u such that -2*u**3 - 18/11*u**2 + 4/11*u + b = 0.
-1, 0, 2/11
Let z(f) be the second derivative of -f**5/60 - f**4/12 - f**3/9 + 8*f. Find g, given that z(g) = 0.
-2, -1, 0
Let q(n) be the second derivative of -5*n**4/12 + n**3/3 + 14*n. Let q(k) = 0. Calculate k.
0, 2/5
Let i(b) be the third derivative of b**5/30 - b**4/6 - b**3 - 13*b**2. Factor i(u).
2*(u - 3)*(u + 1)
Let p = 781/1379 + 1/197. Factor -10/7*u**3 + 4/7 - p*u**2 + 10/7*u.
-2*(u - 1)*(u + 1)*(5*u + 2)/7
Factor -16/7*t**2 - 4/7*t**3 + 1/7*t**5 + 0*t + 3/7*t**4 + 16/7.
(t - 2)*(t - 1)*(t + 2)**3/7
Suppose -14 + 32 = -g - 5*y, -2*g + 5*y + 24 = 0. Factor -4 - 2*r**3 - r + 0*r**3 + 3*r**3 + 2 + 2*r**g.
(r - 1)*(r + 1)*(r + 2)
Suppose -6*h - 3 = -27. Determine m, given that -3/4*m**h + 0*m - 3/4*m**3 + 0 + 0*m**2 = 0.
-1, 0
Let g(r) be the first derivative of r**4/10 - 2*r**3/3 + 8*r**2/5 - 8*r/5 + 20. Solve g(u) = 0.
1, 2
Let y be ((-2)/(-6))/(4/(-24)). Let u be 5/(-30) - y/3. Suppose -u*q**2 + 0*q + 0 = 0. What is q?
0
Let x(p) = -4*p**3 + 9*p**2 + 5*p - 5. Let u(s) = 2*s**3 - 5*s**2 - 3*s + 3. Let t(q) = 10*u(q) + 6*x(q). Factor t(o).
-4*o**2*(o - 1)
Let b(c) be the first derivative of c**9/24192 - c**8/6720 + c**6/1440 - c**5/960 - 5*c**3/3 + 7. Let h(o) be the third derivative of b(o). Factor h(j).
j*(j - 1)**3*(j + 1)/8
Let c(l) be the second derivative of l**4/20 - l**3/5 - 9*l**2/10 + 2*l. Let c(h) = 0. What is h?
-1, 3
Suppose 2*v + 3*d = 7, -2*d - 9 = -3. Suppose -b + 2 = 0, -v = 3*k + 3*b - 7*b. Determine o so that 1/2*o**2 + 0*o + k = 0.
0
Factor 2/15*d**3 + 0*d**2 + 0 + 2/15*d**4 + 0*d.
2*d**3*(d + 1)/15
Let f(t) = -t**2 + 11*t - 9. Let s be f(9). Let o = -4 + s. Find v such that -o*v - 3*v**2 + 5*v + v = 0.
0, 1/3
Let q(u) be the third derivative of -u**9/3780 + u**8/6720 + u**4/8 - 3*u**2. Let f(o) be the second derivative of q(o). Find p such that f(p) = 0.
0, 1/4
Let w(y) be the first derivative of y**4/30 - 2*y**3/9 + 7*y**2/15 - 2*y/5 + 1. Determine m, given that w(m) = 0.
1, 3
Let g(t) = t. Let m(f) be the second derivative of f**4/6 + 2*f**3/3 - 2*f**2 - 2*f. Let j(v) = 2*g(v) - m(v). Let j(b) = 0. Calculate b.
-2, 1
Let a(u) = -u**3 + u**2 + u. Let x be ((-5)/(-10))/(1/2). Let k(b) = -4*b**3 + 5*b**2 + 2*b - 1. Let y(l) = x*k(l) - 2*a(l). Factor y(c).
-(c - 1)**2*(2*c + 1)
Let o(p) be the third derivative of -p**7/210 - p**6/60 + p**4/12 + p**3/6 + 3*p**2. Factor o(u).
-(u - 1)*(u + 1)**3
Let j(q) be the first derivative of -5/72*q**6 - 1/6*q**5 - 1 - 1/6*q**4 + 0*q + 0*q**2 - 2/3*q**3. Let c(v) be the third derivative of j(v). Factor c(l).
-(5*l + 2)**2
Let y(f) be the second derivative of f**7/42 - f**6/15 + f**4/6 - f**3/6 - 8*f. Factor y(o).
o*(o - 1)**3*(o + 1)
Let u = -6 + 5. Let g = 1 - u. Find s, given that 2*s**3 - 4*s**3 + g*s**2 - 4*s**2 - s**4 + 2*s + 3*s**4 = 0.
-1, 0, 1
Let a(n) = -1. Let m(t) = -4*t - t**2 + 5 + 4*t. Let l(j) = 4*a(j) + m(j). Suppose l(b) = 0. Calculate b.
-1, 1
Let g(b) be the second derivative of -b**6/1080 - b**5/360 + b**3/2 - 3*b. Let x(f) be the second derivative of g(f). Factor x(p).
-p*(p + 1)/3
Let f be (-166)/(-18) + 8/(-36). What is o in -7*o**4 + f*o**4 + 14*o**4 - 24*o**3 - 2*o - 15*o**2 = 0?
-1/4, 0, 2
Let j = 1 + -1. Suppose -7*v + v + 18 = j. Solve i + 1/2*i**4 - 1/2 + 0*i**2 - i**v = 0 for i.
-1, 1
Let p be (-6)/(-21) - 19/(-7). Let j(g) = 7*g - 4*g + 1 - 4*g**2 - p. Let a(b) = 7*b**2 - 5*b + 3. Let r(c) = 3*a(c) + 5*j(c). Determine y so that r(y) = 0.
-1, 1
Let a = 1 + -3. Let l(u) = 0*u**2 + 2*u**2 - 4*u**2. Let r(i) = -3*i**3 + 11*i**2 + 3*i - 1. Let h(o) = a*r(o) - 10*l(o). Factor h(m).
2*(m - 1)*(m + 1)*(3*m - 1)
Let q(k) = -2*k**2 + 11*k - 2. Let c(t) = 3*t**2 + 0*t**2 - t + 1 - 5*t**2 + 3*t**2. Let m(d) = -5*c(d) - q(d). Factor m(o).
-3*(o + 1)**2
Let v = 171 + -512/3. Factor -1/3*w**2 - 1/3*w**3 + 0*w + v*w**4 + 1/3*w**5 + 0.
w**2*(w - 1)*(w + 1)**2/3
Let j be 0 + (-2 - -4) + 3. Let m(x) = x**2 - 4*x - 3. Let l be m(j). Let h - h**2 - h**l + 0*h - 3*h = 0. What is h?
-1, 0
Suppose -15*o = -16*o + 2. Suppose o*n + n = 9. Factor 0*m + 2/7*m**n + 0 + 2/7*m**2.
2*m**2*(m + 1)/7
Let a(n) = 2*n**2 - n + 3. Suppose 0 = -5*w - 10 - 5. Let d(v) = 2*v**2 + 4. Let x(y) = w*d(y) + 4*a(y). Factor x(b).
2*b*(b - 2)
Let t(j) be the third derivative of j**7/2520 - j**6/360 + j**5/120 + j**4/8 - j**2. Let w(a) be the second derivative of t(a). Let w(d) = 0. Calculate d.
1
Suppose 3*p + 13*s - 11*s = 0, p + 3*s = 0. Solve 8/3*l**3 + p + 0*l - 4/3*l**2 - 4/3*l**4 = 0.
0, 1
Let c(u) = -u**2 + 8*u + 5. Let h be c(9). Let r = h - 2. Let z(t) = 2*t**2 - 2*t + 2. Let y(q) = q. Let x(w) = r*y(w) - z(w). Determine n so that x(n) = 0.
-1
Let 3*q**2 - 9*q**4 + 12*q**4 - 4*q**4 - 2*q**4 = 0. What is q?
-1, 0, 1
Let s(v) be the third derivative of v**8/2520 + v**7/3780 + v**4/8 - 3*v**2. Let c(q) be the second derivative of s(q). Factor c(j).
2*j**2*(4*j + 1)/3
Let k(j) be the third derivative of -j**8/1176 + 2*j**7/147 - 5*j**6/84 + 25*j**2. Factor k(x).
-2*x**3*(x - 5)**2/7
Find t, given that 4/3*t - 4/3*t**3 + 0 + 0*t**2 = 0.
-1, 0, 1
Let i(w) be the second derivative of -27/28*w**4 - 9/14*w**3 - 81/140*w**5 - 5*w - 3