 - 8*h.
h*(h - 2)**2*(3*h - 2)
Let c(s) be the first derivative of s**8/336 - s**6/60 + s**4/24 + s**2/2 - 5. Let n(y) be the second derivative of c(y). Factor n(p).
p*(p - 1)**2*(p + 1)**2
Suppose 6 = 3*t, -4*t = 4*l - 5*l - 14. Let o = l - -11. Factor -1/2*h**o + 0 + 1/2*h + h**2 + 0*h**3 - h**4.
-h*(h - 1)*(h + 1)**3/2
Let j(v) be the second derivative of 0 + 1/4*v**4 + 1/4*v**2 + 1/3*v**3 + 1/60*v**6 + 1/10*v**5 - 4*v. Let j(f) = 0. What is f?
-1
Find s such that -4*s**4 + 15*s - 19*s**3 - 4*s**3 + 10 + 8*s**3 - 5*s**2 - s**4 = 0.
-2, -1, 1
Determine t, given that 0 - 2/7*t**4 + 2/7*t**2 - 2/7*t + 2/7*t**3 = 0.
-1, 0, 1
Let b(c) be the second derivative of c**7/126 + 7*c**6/90 - 2*c**5/15 - 4*c. Factor b(m).
m**3*(m - 1)*(m + 8)/3
Let y = -34 + 34. Let a(q) be the second derivative of -1/24*q**3 - 3*q + 0 - 1/48*q**4 + y*q**2. Solve a(j) = 0 for j.
-1, 0
Let b(p) be the second derivative of -p**4/3 + 4*p**3/3 - 2*p**2 + 6*p. Solve b(l) = 0.
1
Let u(k) be the first derivative of k**8/1008 - k**7/210 + k**6/120 - k**5/180 - 3*k**2/2 - 3. Let z(t) be the second derivative of u(t). Factor z(q).
q**2*(q - 1)**3/3
Let y(g) = g**2 - g. Let z(b) = -3*b**2 + 9*b. Let w(c) = 10*y(c) + 2*z(c). Factor w(s).
4*s*(s + 2)
Let r(w) be the first derivative of w**4/16 - w**3/4 + 3*w**2/8 - w/4 + 6. Factor r(t).
(t - 1)**3/4
Let c(t) be the third derivative of 4/315*t**7 + 0 - 1/36*t**4 + 0*t**3 + 0*t + 5*t**2 - 1/30*t**6 - 1/504*t**8 + 2/45*t**5. Factor c(v).
-2*v*(v - 1)**4/3
Let i = -5 - -9. Factor 7*n**4 + 2*n**2 + 2*n**2 - 11*n**i - n + n**3.
-n*(n - 1)*(n + 1)*(4*n - 1)
Let v(k) be the first derivative of -k**4/2 - k**3/2 - 3*k - 4. Let j(o) be the first derivative of v(o). Factor j(b).
-3*b*(2*b + 1)
Let h be 2 - (2 - (3 - 1)). Suppose y**2 - y + 5*y**h + 2*y**3 + y**4 - 3*y - 8 + 3*y**3 = 0. Calculate y.
-2, 1
Let u(g) be the third derivative of g**8/336 - g**7/70 + g**6/120 + g**5/20 - g**4/12 - 2*g**2. Factor u(a).
a*(a - 2)*(a - 1)**2*(a + 1)
Let v be (-8)/(-12) + (-4)/6. Factor 0 + v*r + 6/5*r**3 - 2/5*r**2.
2*r**2*(3*r - 1)/5
Let x(u) be the third derivative of -7*u**6/200 - 2*u**5/75 + 11*u**4/120 - u**3/15 + 9*u**2. Determine l, given that x(l) = 0.
-1, 2/7, 1/3
Let j be ((-22)/6)/((-7)/21). Let m = -8 + j. Factor 2*i**3 + 2*i**3 - 3*i**m + i**4.
i**3*(i + 1)
Factor 3/5*p + 1/5*p**2 + 2/5.
(p + 1)*(p + 2)/5
Suppose -1 = 2*j - 3*j. Suppose -4*l = -4*v + 28, -4*l - j + 15 = 3*v. Find m such that -v*m**2 + m**3 - 2 + 5*m + 7*m - 6 = 0.
2
Let r be (-50)/(-13) - (-36)/234. Factor -8/9*m**2 - 2/9*m**5 + 0 - 16/9*m**3 + 0*m - 10/9*m**r.
-2*m**2*(m + 1)*(m + 2)**2/9
Let s be (-19)/(-247)*(-2 + 10). Find g, given that 8/13 - s*g + 2/13*g**2 = 0.
2
Let 0 - 1/2*n + 3/2*n**2 + 1/2*n**4 - 3/2*n**3 = 0. Calculate n.
0, 1
Let p(g) be the third derivative of -1/30*g**4 + 1/300*g**6 + 0*g + 0 + 5*g**2 + 0*g**3 + 1/150*g**5. Let p(h) = 0. What is h?
-2, 0, 1
Let j be (-1 - 11/(-9)) + (-196)/(-126). Factor 10/9*c**2 - j*c - 2/9*c**3 + 8/9.
-2*(c - 2)**2*(c - 1)/9
Let 8*m - 2 - 12*m**2 - 2*m**4 + 8*m**3 + 3 + 0 - 3 = 0. What is m?
1
Let v(j) be the third derivative of -j**6/420 - j**5/70 - j**4/28 - j**3/21 + 5*j**2. Let v(q) = 0. What is q?
-1
Let n(r) be the first derivative of -r**6/540 - r**5/45 - r**4/12 - 2*r**3 + 1. Let q(h) be the third derivative of n(h). Factor q(w).
-2*(w + 1)*(w + 3)/3
Suppose -5 = 2*z - 9. Find h, given that 2*h - 2*h**z + 2*h + 4*h**2 - 6 = 0.
-3, 1
What is b in -9*b**4 - 15*b + 3*b**5 + 9*b**2 + 6*b + 6*b**3 - 3*b**2 + 0 + 3 = 0?
-1, 1
Let n(f) be the second derivative of f**7/735 + f**6/210 - f**5/210 - f**4/42 + f**2 + 6*f. Let r(b) be the first derivative of n(b). Factor r(d).
2*d*(d - 1)*(d + 1)*(d + 2)/7
Factor -z**2 - 3*z**4 - 18*z**3 + 3*z**5 + 4*z**4 + 15*z**3.
z**2*(z - 1)*(z + 1)*(3*z + 1)
Let f(v) = 9*v**2 - v + 6. Let t(w) = 0*w**2 - 6*w**2 + 2*w**2 - 3 + w. Let c(j) = -3*f(j) - 7*t(j). Factor c(b).
(b - 3)*(b - 1)
Let m(q) = q**3 + 4*q**2 + 4*q + 2. Let y be m(-2). Factor 0 + 0 + 4*g**2 - 6*g**y.
-2*g**2
Let y(z) be the second derivative of 0 + 1/2*z**2 - 1/12*z**4 - 3*z + 0*z**3. Factor y(w).
-(w - 1)*(w + 1)
Let v be (0 + 2)*1/5. Let t be -4 + (2 - 2) + 56/14. Find n, given that v*n**2 + 2/5*n + t = 0.
-1, 0
Let p(u) be the first derivative of -2*u**5/75 + u**4/6 - 16*u**3/45 + 4*u**2/15 + 2. Let p(q) = 0. What is q?
0, 1, 2
Let j(a) = 2*a**2 + 16*a + 4. Let i(p) = p. Suppose 0 = -3*r + 3, -18 - 7 = 2*h - 5*r. Let v(d) = h*i(d) + j(d). Suppose v(y) = 0. What is y?
-2, -1
Let n be (-2 + -13)/3 + 34/6. Factor 10/3*c**3 + 2*c**5 + n*c**2 + 0*c + 0 + 14/3*c**4.
2*c**2*(c + 1)**2*(3*c + 1)/3
Factor 12/5*h**2 + 21/5*h - 6/5.
3*(h + 2)*(4*h - 1)/5
Solve 2*o**3 + 5*o + 11*o - 3*o**3 - 4*o**4 - 11*o**3 = 0 for o.
-2, 0, 1
Suppose x + 0*x - 13 = 2*j, 74 = 5*x - j. Solve 3*n**5 - 5*n**4 + x*n**3 - 15*n**2 + 6*n**2 - 6*n**4 + 2*n = 0.
0, 2/3, 1
Let a be 1/(-9)*(-33)/1540. Let s(j) be the third derivative of -1/21*j**3 - 1/70*j**5 + 1/28*j**4 + 3*j**2 + 0 + 0*j + a*j**6. Determine x so that s(x) = 0.
1
Let m(y) be the third derivative of -1/6*y**4 + 1/30*y**6 + 0*y**3 + 4*y**2 - 1/30*y**5 + 1/105*y**7 + 0*y + 0. Find v such that m(v) = 0.
-2, -1, 0, 1
Let a(i) be the third derivative of -i**6/24 + 5*i**5/4 - 125*i**4/8 + 625*i**3/6 + 15*i**2. Factor a(h).
-5*(h - 5)**3
Factor 16/5 + 4/5*v**3 + 8/5*v**2 - 28/5*v.
4*(v - 1)**2*(v + 4)/5
Let t = -1 - -6. Let n(j) be the third derivative of -1/3*j**3 + 1/12*j**4 - 1/60*j**6 + 1/30*j**t + 0*j + 0 + j**2. Factor n(c).
-2*(c - 1)**2*(c + 1)
Let d be 3 + 122 + (-4 - -4). Let b be (4/(-10))/((-100)/d). Determine w, given that 1 + b*w - 3/2*w**2 = 0.
-2/3, 1
Let d(g) be the first derivative of 4*g**4 - 16*g**3/3 + 2*g**2 - 18. Let d(a) = 0. What is a?
0, 1/2
Let i = 11 + -15. Let f(l) = -3. Let q(p) = -2*p**2 + 9*p - 15. Let w(z) = -z**2 + 5*z - 8. Let b(x) = 4*q(x) - 7*w(x). Let g(r) = i*f(r) + 3*b(r). Factor g(s).
-3*s*(s - 1)
Let k(a) be the second derivative of -a**4/36 - a**3/2 + a + 16. Factor k(o).
-o*(o + 9)/3
Let n be (3/(-4))/(5 + (-201)/24). Factor -2/3*q - 2/9 - n*q**3 - 2/3*q**2.
-2*(q + 1)**3/9
Factor 2/5*f**2 - 3/5*f + 1/5*f**3 + 0.
f*(f - 1)*(f + 3)/5
Let q(b) be the second derivative of -3*b**4/2 - 3*b**3 - 4*b**2 + b. Let x(f) = 36*f**2 + 35*f + 15. Let u(l) = -11*q(l) - 6*x(l). Factor u(j).
-2*(3*j + 1)**2
Determine c, given that -2*c - 48*c**3 - 5*c**2 + 32*c**4 + 18*c**2 + 5*c**2 = 0.
0, 1/4, 1
Let b be 6/5*(-30)/(-12). Let t = 5 - b. Solve n**4 + 0*n**t + n**2 - 2*n**2 = 0.
-1, 0, 1
Let o(a) be the first derivative of -a**4/4 + a**3 - 1. Find n, given that o(n) = 0.
0, 3
Factor 47*r - 7 - 5*r**2 - 27*r - 8.
-5*(r - 3)*(r - 1)
Let h be (3/((-18)/4))/(2/(-12)). What is j in 16/9 + 4*j**2 + 14/9*j**3 + 40/9*j + 2/9*j**h = 0?
-2, -1
Factor -2*n**2 + 75 + n**2 + 4*n**2 + 12*n + 18*n.
3*(n + 5)**2
Let v be (-4)/12*2/(-12). Let m(k) be the second derivative of v*k**4 + 0 + 0*k**3 - 2/45*k**6 - 2*k + 1/30*k**5 + 0*k**2. Determine y, given that m(y) = 0.
-1/2, 0, 1
Let i(s) = -s**2 - 2. Let k be i(0). Let f be k/(1*(-4)/4). Factor 1/3*v + v**3 + 0 + v**f + 1/3*v**4.
v*(v + 1)**3/3
Let g be ((-284)/(-6))/((-21)/(-18)). Let s = -2528/63 + g. Determine t so that 0 - s*t - 2/9*t**3 + 2/3*t**2 = 0.
0, 1, 2
Let m(b) be the first derivative of 2/35*b**5 + 0*b**4 + 0*b**3 + 0*b**2 + 0*b + 2 - 1/21*b**6. Suppose m(a) = 0. What is a?
0, 1
Solve -6/7*k**2 - 12/7*k**4 + 0*k + 0 + 3/7*k**5 + 15/7*k**3 = 0.
0, 1, 2
Suppose p - 5 = -2*i - 0, 27 = -5*p + 3*i. Let l be p + 8 - (1 - -2). What is m in 0 + 1/2*m**3 - 3/2*m**4 + 3/2*m**l - 1/2*m = 0?
-1, 0, 1/3, 1
Factor -9*s + 37*s**3 + 39*s**3 - 73*s**3 - 6.
3*(s - 2)*(s + 1)**2
Let t(j) = -j + 7. Let k be t(3). Suppose -4*i - 4 = 2*x, -4*i + 5*i = x - k. Factor 5*b**3 + b**2 + 5*b**x - 2*b**3.
3*b**2*(b + 2)
Let g(q) be the first derivative of q**8/1344 - q**6/120 + q**5/120 + q**4/32 - q**3/12 - 2*q**2 + 3. Let h(v) be the second derivative of g(v). Factor h(f).
(f - 1)**3*(f + 1)*(f + 2)/4
Let d(n) = 3*n - 1. Let y be d(1). Let k(m) be the second derivative of -m + 1/42*m**4 + 1/7*m**y - 2/21*m**3 + 0. Factor k(g).
2*(g - 1)**2/7
Let q(r) = r**3 + 9*r**2 + r + 8. Let h be q(-9). Let c be 25/10 + h/(-2). Suppose 3*o**2 - 5*o**2 - 12*o**4 