+ 63 - 2*u**4.
2*u*(u - 2)**2*(u + 1)*(u + 2)
Solve 7*p**2 - 3*p**2 + 0*p**4 + 24*p - 11*p**4 - 16*p**3 + 15*p**4 = 0.
-1, 0, 2, 3
Let h(w) be the first derivative of -w**6/150 + 3*w**5/100 - w**4/30 - 2*w - 3. Let q(j) be the first derivative of h(j). Determine x so that q(x) = 0.
0, 1, 2
Let j(f) be the third derivative of -f**5/20 - 3*f**4/4 - 9*f**3/2 + 6*f**2. Determine g, given that j(g) = 0.
-3
Let k(u) = -u**2 - u. Let a(r) = 2*r**3 - 14*r**2 + 22*r - 16. Let d(n) = a(n) - 2*k(n). Determine t, given that d(t) = 0.
2
Let n(t) = 4*t + 79. Let k be n(-19). Factor 2/15 - 16/15*o**k + 8/5*o**2 - 4/5*o.
-2*(2*o - 1)**3/15
Let n(g) be the third derivative of g**7/525 - g**6/100 - g**5/150 + g**4/20 + 45*g**2. Let n(x) = 0. What is x?
-1, 0, 1, 3
Suppose -2*m = -7 + 1. Let o(g) be the first derivative of 1 - 1/2*g**2 + 1/3*g - 1/12*g**4 + 1/3*g**m. Suppose o(l) = 0. What is l?
1
Let p(c) be the first derivative of 4*c**6/21 + 6*c**5/35 - c**4/14 - 2. What is m in p(m) = 0?
-1, 0, 1/4
Let z(p) = 3*p**2 + 14*p + 1. Let k(q) = 12*q**2 + 57*q + 3. Let x(v) = -5*k(v) + 21*z(v). Factor x(u).
3*(u + 1)*(u + 2)
Let f(u) be the first derivative of 7*u**6 + 83/2*u**4 + 152/5*u**5 + 64/3*u**3 + 0*u - 2 + 4*u**2. Let f(v) = 0. Calculate v.
-2, -1, -1/3, -2/7, 0
Let b be (-10)/(-40)*-20 - 7*-1. Find m such that -208/5*m**b - 32/5*m - 224/5*m**3 + 32/5 - 14/5*m**5 - 94/5*m**4 = 0.
-2, -1, 2/7
Let h(r) be the third derivative of r**6/40 + r**5/20 - r**4/2 - 2*r**3 - r**2. Factor h(c).
3*(c - 2)*(c + 1)*(c + 2)
Let j(k) be the first derivative of k**3/30 + 4*k**2/5 + 32*k/5 + 15. Factor j(s).
(s + 8)**2/10
Let b(d) be the second derivative of -d**7/21 + d**5/10 + 7*d. Factor b(g).
-2*g**3*(g - 1)*(g + 1)
Let g = 13 + -12. What is q in g - 1/2*q**3 - 5/2*q + 2*q**2 = 0?
1, 2
Let j(h) = -21*h**2 - 3*h - 21. Let a(d) be the second derivative of 5*d**4/6 + d**3/3 + 5*d**2 + 6*d. Let x(s) = 13*a(s) + 6*j(s). Factor x(c).
4*(c + 1)**2
Let j(v) be the second derivative of -2*v**7/21 + 2*v**5/5 - 2*v**3/3 + 16*v. Factor j(c).
-4*c*(c - 1)**2*(c + 1)**2
Let l(w) = w - w**4 + 0*w + 3*w - w**3 + 2*w**2. Let q(i) = 100 - 100 - i. Let x(z) = -l(z) - 4*q(z). Solve x(f) = 0 for f.
-2, 0, 1
Suppose 0 - 6 = -2*g. Let j(m) = -m**3 - 3*m**2 + 4*m + 3. Let x be j(-4). Factor q**x - q**2 + 2*q**3 - 4*q**g.
-q**2*(q + 1)
Let r be (-18)/(-24) + 7/(-20). Factor 3/5*t - 1/5*t**2 - r.
-(t - 2)*(t - 1)/5
Let a(p) = -p**3 + p. Let u = -6 + 7. Let g be a(u). Factor -1/3*j**2 + 0 - 1/3*j**3 + 1/3*j**5 + 1/3*j**4 + g*j.
j**2*(j - 1)*(j + 1)**2/3
Suppose 7*m = 4*m + 15. Let u(l) be the third derivative of 0*l - 3/16*l**4 + 1/2*l**3 - l**2 + 1/40*l**m + 0. Let u(b) = 0. Calculate b.
1, 2
Suppose 3/7*d - 2/7 - 1/7*d**2 = 0. What is d?
1, 2
Factor -3*o**4 + 9*o - 9*o**3 - 24*o**2 - 23*o**2 + 50*o**2.
-3*o*(o - 1)*(o + 1)*(o + 3)
Let q = -3820 + 240650/63. Let d = 4/63 - q. Suppose -10/9*j**2 + 2/3*j**3 + 2/9*j + d = 0. What is j?
-1/3, 1
Factor 0 + 8/5*u**2 - 12/5*u**3 + 8/5*u**4 - 2/5*u - 2/5*u**5.
-2*u*(u - 1)**4/5
Suppose 5*m - m - 12 = 0. Suppose -4*k = -3*k. Factor 81/2*p**m - 18*p**2 + k + 2*p.
p*(9*p - 2)**2/2
Let b(h) be the first derivative of -1/7*h**2 + 1/42*h**4 - 3 + 1/21*h**3 - 1/70*h**5 + h. Let n(x) be the first derivative of b(x). Factor n(w).
-2*(w - 1)**2*(w + 1)/7
Let l(c) be the third derivative of c**7/3780 + c**6/1080 + c**4/8 - 3*c**2. Let x(u) be the second derivative of l(u). Find d such that x(d) = 0.
-1, 0
Let f(y) = -2*y**4 - 9*y**3 - 6*y**2 - 2*y - 3. Let k(m) = m**3 + 1. Let i(t) = f(t) + 3*k(t). Factor i(v).
-2*v*(v + 1)**3
Suppose -9 + 55*c**4 - 172*c**3 + 1 + 96*c**2 + 25*c**4 + 4*c = 0. What is c?
-1/4, 2/5, 1
Let l be (-105)/(-28) - ((-12)/3)/16. Let h be (9/8)/((-3)/(-2)). Factor -5/4*d**3 - 1/4*d**2 + 0 - h*d**l + 1/4*d.
-d*(d + 1)**2*(3*d - 1)/4
Factor 11*x**3 + 4 + x**2 - 7*x**3 - 5*x**2 - 4*x + 0*x**2.
4*(x - 1)**2*(x + 1)
Let j(v) be the first derivative of -v**4/4 - 2*v**3/3 + v**2/2 + 2*v + 7. Determine y so that j(y) = 0.
-2, -1, 1
Let b(k) be the third derivative of -k**7/105 + k**6/20 + k**5/30 - k**4/4 - 36*k**2. Determine g, given that b(g) = 0.
-1, 0, 1, 3
Let m(d) be the first derivative of -7*d**4/4 - 23*d**3/4 - 5*d**2/2 + 3*d - 9. Find y, given that m(y) = 0.
-2, -3/4, 2/7
Let a be (-68)/(-16) - 1/4. Suppose a*w - 14*w**3 - 26*w**2 - 6*w**3 + 42*w**2 = 0. Calculate w.
-1/5, 0, 1
Let d be ((-8)/96)/(1/(-9)). Factor -3/2 + 9/4*m - d*m**3 + 0*m**2.
-3*(m - 1)**2*(m + 2)/4
Let f = 33/5 + -29/5. Factor 14/5*d**2 - f*d + 0 - 2/5*d**5 - 18/5*d**3 + 2*d**4.
-2*d*(d - 2)*(d - 1)**3/5
Let h(m) be the first derivative of 1/5*m**5 - 1/6*m**3 - m + 0*m**2 - 4 + 1/4*m**4. Let w(d) be the first derivative of h(d). Factor w(n).
n*(n + 1)*(4*n - 1)
Let k(y) be the third derivative of -y**8/1848 + 4*y**7/1155 + 12*y**2. What is c in k(c) = 0?
0, 4
Factor -1/2*g - g**2 + 0 + 3/2*g**3.
g*(g - 1)*(3*g + 1)/2
Let o be (-22)/(-6) + -6 + 2 + 1. Factor -1/3*p + p**2 - o.
(p - 1)*(3*p + 2)/3
Let w(v) be the second derivative of -v**7/21 - 2*v**6/15 + 2*v**5/5 + 4*v**4/3 - 13*v. Let w(p) = 0. What is p?
-2, 0, 2
Let d(f) = 2*f**5 + 6*f**4 - 4*f**3 + 4*f**2 + 4*f. Let z(u) = -u**5 - u**4 + u**3 - u**2 - u. Let h(j) = d(j) + 4*z(j). Factor h(y).
-2*y**4*(y - 1)
Let h(w) be the first derivative of 1/30*w**5 + 0*w + 0*w**2 + 0*w**3 + 1/36*w**6 + 0*w**4 - 1. Factor h(y).
y**4*(y + 1)/6
Let n be (-11)/(-5) + (-14)/7. Solve 4/5 + n*c**4 + 12/5*c + 13/5*c**2 + 6/5*c**3 = 0.
-2, -1
Let v be 3/2*(-86)/228. Let s = -6/19 - v. Let -1/2*a**4 + 0 + 1/2*a**2 - 1/4*a + s*a**3 = 0. What is a?
-1, 0, 1/2, 1
Let g(i) = i**3 - 7*i**2 - 29*i + 48. Let k(v) = 3*v**3 - 13*v**2 - 59*v + 96. Let n(o) = -5*g(o) + 3*k(o). Solve n(h) = 0.
-3, 2
Let s be (-1)/5 + 16/20. Let 0 + 0*o + s*o**3 - 6/5*o**2 = 0. Calculate o.
0, 2
Let u(o) = -7*o - 10. Let k be u(-2). Let 4/5*s**5 + 16/5*s**3 - k*s - 17/5*s**4 + 13/5*s**2 + 4/5 = 0. What is s?
-1, 1/4, 1, 2
Factor 3*b**3 + 4*b**2 + 18*b**5 + 0*b**2 - 3*b**5 - 24*b**4 + 2*b**2.
3*b**2*(b - 1)**2*(5*b + 2)
Let y = 1347/1084 + 2/271. Let v(s) be the first derivative of y*s**6 + 0*s**2 + 0*s**3 - 4 - 2/5*s**5 - 1/2*s**4 + 0*s. Solve v(p) = 0.
-2/5, 0, 2/3
Suppose 2*s**2 + s**2 + 2*s - s**2 - 4 - 4*s = 0. Calculate s.
-1, 2
Let v(z) be the first derivative of z**5 - 15*z**3 + 10*z**2 + 60*z + 48. Factor v(l).
5*(l - 2)**2*(l + 1)*(l + 3)
Let n(i) be the second derivative of -i**7/420 - i**6/120 - i**5/120 - 3*i**2/2 + i. Let y(j) be the first derivative of n(j). Factor y(k).
-k**2*(k + 1)**2/2
Let f = 1802/3 - 598. Factor -f*d - 4/3*d**2 + 0.
-4*d*(d + 2)/3
Factor 12*n**3 + 0*n**2 + 3*n**2 + 8*n**2 + 4*n**2 + 3*n**4 + 6*n.
3*n*(n + 1)**2*(n + 2)
Let k(r) be the first derivative of -r**5/50 + r**3/15 + 6*r + 2. Let t(p) be the first derivative of k(p). Let t(i) = 0. What is i?
-1, 0, 1
Let q(t) = t**3 - 3*t**2 - t - 3. Let z(y) = -4*y**3 + 8*y**2 + 4*y + 8. Let c(k) = -8*q(k) - 3*z(k). Factor c(n).
4*n*(n - 1)*(n + 1)
Factor -3/5 + 1/5*j**2 + 2/5*j.
(j - 1)*(j + 3)/5
Let v(o) be the third derivative of -1/3*o**3 - 1/105*o**7 + 0*o**4 - 4*o**2 + 0 + 0*o + 0*o**6 + 1/15*o**5. Find p, given that v(p) = 0.
-1, 1
Suppose -4*s + 3*h - 6*h - 305 = 0, -4*h = 5*s + 380. Let y = s + 566/7. Factor y*r**3 + 10/7*r**2 - 18/7*r**4 + 2/7*r + 0.
-2*r*(r - 1)*(3*r + 1)**2/7
Let s(c) be the third derivative of -c**6/60 + 9*c**5/40 - 19*c**4/24 + 5*c**3/4 + 34*c**2. Factor s(l).
-(l - 5)*(l - 1)*(4*l - 3)/2
Let d(m) be the second derivative of m**6/75 - m**5/50 - m**4/30 + m**3/15 + 6*m. Factor d(l).
2*l*(l - 1)**2*(l + 1)/5
Let p(a) be the second derivative of a**5/20 + 3*a**4/8 + a**3 - a**2/2 - a. Let i(r) be the first derivative of p(r). Factor i(s).
3*(s + 1)*(s + 2)
Let w be 192/(-18)*2/(48/(-2)). Factor -w + 8/3*n + 14/9*n**2.
2*(n + 2)*(7*n - 2)/9
Let x(p) be the third derivative of p**8/2520 + p**7/1260 - p**6/270 - 2*p**3/3 + 6*p**2. Let u(j) be the first derivative of x(j). Let u(t) = 0. Calculate t.
-2, 0, 1
Let z(a) = -a**3 - 3*a**2 + 3*a - 2. Let i be z(-4). What is v in 6 - 10*v**3 - 4 - 5*v**4 + v**4 + 2*v - 6*v**i = 0?
-1, 1/2
Let d(k) = 5*k + 3. Let t be d(-3). Let w = -12 - t. Suppose 2*r**5 + 0 + 16/5*r**4 + 2/5*r**3 + w*r - 4/5*r**2 = 0. What is r?
-1