)/(6/4). Find u such that u**5 - c*u**4 + 2*u**4 + 0*u**q = 0.
0, 1
Let o = 104 - 1140/11. Factor 2/11*d**4 - 2/11*d**2 + 0 - o*d + 4/11*d**3.
2*d*(d - 1)*(d + 1)*(d + 2)/11
Let l(p) = -p**3 - 7*p**2 - 9*p + 7. Let a be l(-5). Determine n, given that 0 - 2*n**a + 8/5*n**3 - 4/5*n + 6/5*n**4 = 0.
-2, -1/3, 0, 1
Let h be (-5)/(-2) + (-2)/(-20)*5. Find l, given that 6/7*l**h + 4/7*l + 0 - 8/7*l**4 + 18/7*l**2 = 0.
-1, -1/4, 0, 2
Let p(u) = -u**3 + 3*u**2 + 2*u + 6. Let n be p(4). Let d be 36/(-9)*n/4. Factor 4/3*q**d + 4/3 - 10/3*q.
2*(q - 2)*(2*q - 1)/3
Let w(o) = -4*o**2 - 60*o - 56. Let g(c) = -c**2 - 20*c - 19. Let n(z) = 8*g(z) - 3*w(z). Suppose n(v) = 0. Calculate v.
-4, -1
Let a be (-1)/(-1*(-4)/(-44)). Suppose -a*c = -7*c - 96. Factor -46*u**3 - 30*u**4 - c*u**2 - 25/4*u**5 + 0 - 4*u.
-u*(u + 2)**2*(5*u + 2)**2/4
Factor 0 - 4/7*d**3 + 0*d**2 + 2/7*d**5 + 0*d**4 + 2/7*d.
2*d*(d - 1)**2*(d + 1)**2/7
Let c(j) be the second derivative of -j**8/26880 - j**7/2016 - j**6/360 - j**5/120 - j**4/6 + 4*j. Let w(q) be the third derivative of c(q). Factor w(d).
-(d + 1)*(d + 2)**2/4
Suppose 3*y - 3 = 2*y. Factor -4*o**2 + 0*o + 0*o**2 - o + 3*o + 2*o**y.
2*o*(o - 1)**2
Suppose -2*o**3 - 2*o + 4*o**3 + 5*o - 5*o**3 = 0. What is o?
-1, 0, 1
Let j(d) be the first derivative of -d**3/2 - 43. Find m, given that j(m) = 0.
0
Let w(o) be the first derivative of 0*o + 0*o**3 - 1 + 0*o**2 + 0*o**5 - 1/6*o**6 + 0*o**4. Factor w(k).
-k**5
Let v(h) be the third derivative of -h**8/336 + h**7/525 + h**6/120 - h**5/150 - 11*h**2. Suppose v(x) = 0. Calculate x.
-1, 0, 2/5, 1
Suppose -21*r**2 + 5*r**3 - 5*r + 8*r**2 + 8*r**2 + 5 = 0. Calculate r.
-1, 1
Let h = -157 + 169. Find x such that x**3 - 9/2 - 13/2*x**2 + h*x = 0.
1/2, 3
Solve 3/2*y - 3/2*y**3 - 3 + 3*y**2 = 0.
-1, 1, 2
Let u(j) be the second derivative of 0 + 2/15*j**3 + 1/30*j**4 + 6*j - 3/5*j**2. Solve u(y) = 0 for y.
-3, 1
Solve -2*g**2 + 27*g**4 + 18*g**3 + 11*g**2 - 33*g**2 - 18*g - 3 = 0.
-1, -1/3, 1
Let a(i) = i**4 + 2*i**3 - 3*i**2 - 5*i. Let c(d) = 3*d**3 - 5*d**3 - d**2 + 3*d**3 - d. Let q(t) = a(t) - 5*c(t). Factor q(m).
m**2*(m - 2)*(m - 1)
Factor -1/4*n**4 + 0 + 1/4*n**3 + 1/4*n**2 - 1/4*n.
-n*(n - 1)**2*(n + 1)/4
Let f be (1 + -1)*(-2)/4. Let p = -196 - -196. Factor f - 1/4*s**2 + 1/4*s**3 + p*s.
s**2*(s - 1)/4
Let h(g) be the third derivative of 0 + 1/12*g**6 + g**2 + 1/21*g**4 + 0*g + 4/35*g**5 + 0*g**3. Factor h(m).
2*m*(5*m + 2)*(7*m + 2)/7
Let w(v) = 4*v - 2. Let l be w(3). Find i such that -2*i**3 + l*i**2 + 3*i - 10*i**2 - i = 0.
-1, 0, 1
Let k = 29/48 + 1/16. Let q = -30 - -33. What is w in 4/3 - 10/3*w + k*w**2 - 2*w**4 + 10/3*w**q = 0?
-1, 2/3, 1
Let v(t) be the first derivative of -1/20*t**5 + 0*t**2 + 0*t + 0*t**3 + 3 - 1/16*t**4. Factor v(p).
-p**3*(p + 1)/4
Factor 0 + 0*s - 1/5*s**3 + 0*s**2.
-s**3/5
Let j(q) be the third derivative of -1/280*q**6 + 4*q**2 + 0*q + 0 + 1/42*q**3 - 1/420*q**5 + 1/56*q**4. Solve j(t) = 0 for t.
-1, -1/3, 1
Let o(h) = -9*h**5 - 32*h**4 - 31*h**3 - 6*h**2 + 3*h - 4. Let g(p) = -p**4 - p**3 - 1. Let i(z) = -5*g(z) + o(z). Let i(n) = 0. What is n?
-1, -1/3, 1/3
Let c(h) be the third derivative of h**6/150 + h**5/75 - h**4/30 - 2*h**3/15 + 13*h**2. Suppose c(l) = 0. What is l?
-1, 1
Let u(i) = i**2 + 21*i - 96. Let f be u(-25). Factor 0 + 10/13*n**2 + 2/13*n**5 - 2/13*n**f - 4/13*n - 6/13*n**3.
2*n*(n - 1)**3*(n + 2)/13
Let r(w) = -7*w + 5*w + 0*w. Let y be r(-2). Factor -1/3*k**2 + k**y + 0*k + 0 - 2/3*k**3.
k**2*(k - 1)*(3*k + 1)/3
Let r(g) be the first derivative of 2/25*g**5 + 0*g**3 + 0*g**4 + 0*g**2 - 1/15*g**6 + 1 + 0*g. Factor r(j).
-2*j**4*(j - 1)/5
Let b(t) be the second derivative of 0*t**3 - 4*t + 0*t**2 + 0*t**4 + 0 + 1/10*t**5 - 1/15*t**6. Let b(h) = 0. Calculate h.
0, 1
Let l(t) = t**3 - t**2 + t. Let q(s) = s**3 - 8*s**2 - 7*s + 2. Let y(k) = 2*l(k) - q(k). Let w(m) be the first derivative of y(m). Factor w(c).
3*(c + 1)*(c + 3)
Let u be (-2)/8 - 18/(-8). Let f = -160 - -160. Determine g, given that 4/7*g + f - 6/7*g**u = 0.
0, 2/3
Let q(c) be the third derivative of -c**6/180 + c**5/90 + 7*c**2. Factor q(l).
-2*l**2*(l - 1)/3
Let k(h) be the second derivative of -h**5/110 - h**4/11 - 4*h**3/11 - 8*h**2/11 - 4*h. Factor k(j).
-2*(j + 2)**3/11
Suppose i - 1 - 2 = 4*l, -4*l = 5*i - 39. Let k(h) be the first derivative of 15/4*h**4 - 12*h**2 + i*h**3 - 12*h + 1. Factor k(n).
3*(n - 1)*(n + 2)*(5*n + 2)
Let s(a) = 5*a**5 - 9*a**4 - 9*a**3 - 9*a**2 + 9*a. Let c(m) = m**5 - 2*m**4 - 2*m**3 - 2*m**2 + 2*m. Let f(x) = -9*c(x) + 2*s(x). Factor f(r).
r**5
Let x(q) be the first derivative of q**4/10 + 2*q**3/15 - 2*q**2/5 - 5. Factor x(b).
2*b*(b - 1)*(b + 2)/5
Let w(u) be the first derivative of -u**6/51 - 8*u**5/85 - 2*u**4/17 + 7. Factor w(b).
-2*b**3*(b + 2)**2/17
Let n = -4 - -4. Suppose 4*j - 8 = -n. Factor f - 2*f - 2*f**3 - 2*f**2 + 5*f + j*f**4 - 2*f.
2*f*(f - 1)**2*(f + 1)
Let l be (7/(-14))/(2/(-8)). Factor -y + 3*y**l + 0*y + 9*y**3 + y.
3*y**2*(3*y + 1)
Let m(n) be the first derivative of n**4/22 - 10*n**3/33 + 8*n**2/11 - 8*n/11 + 19. Let m(t) = 0. What is t?
1, 2
Let y(a) = a + 15. Let x be y(-12). Let n be (x/(-4))/(18/(-48)). Solve 4/5*f**3 + 0*f - 2/5*f**n + 0 - 2/5*f**4 = 0 for f.
0, 1
Let c(l) be the first derivative of l**8/1344 - l**7/280 + l**5/60 - l**2 + 5. Let r(o) be the second derivative of c(o). Solve r(w) = 0.
-1, 0, 2
Let t(v) be the first derivative of -v**5/90 + 7*v**2/2 + 2. Let p(i) be the second derivative of t(i). Suppose p(b) = 0. Calculate b.
0
Let r(m) be the second derivative of m**5/5 - 6*m**4 + 22*m**3 - 32*m**2 - 7*m + 2. Factor r(v).
4*(v - 16)*(v - 1)**2
Let c be (-2)/8 - 68/(-16). Let x be ((-16)/(-28))/(c/14). Solve -g**3 - g + 2*g**2 - x + 0*g**2 + 2 = 0 for g.
0, 1
Let z be ((-1)/(-7)*-2)/(7/(-49)). Factor 0*j**z - 6/7*j**3 - 9/7*j**4 + 0*j - 3/7*j**5 + 0.
-3*j**3*(j + 1)*(j + 2)/7
Let n(w) be the first derivative of 2*w**3/3 - w**2 + 9. Let n(h) = 0. What is h?
0, 1
Let c be 4 - 1 - (0 - 0). Let g = 3 - c. Factor g + 2/9*b**5 + 0*b + 2/9*b**3 + 0*b**2 - 4/9*b**4.
2*b**3*(b - 1)**2/9
Let g = 88 - 81. Let z(q) be the second derivative of 0*q**2 - 1/2*q**3 + 4*q - 1/2*q**6 + 5/4*q**4 + 0 + 2/7*q**g - 9/20*q**5. Determine r so that z(r) = 0.
-1, 0, 1/4, 1
Let d be 3 + (-4)/(16/12). Let s(z) be the first derivative of d*z + 3 + 3/8*z**4 + 0*z**2 + 1/6*z**3. Find b such that s(b) = 0.
-1/3, 0
Let a(c) be the first derivative of c**3/3 + 2*c**2 + 3*c + 20. Find l, given that a(l) = 0.
-3, -1
Suppose 5*x - 4 = 3*f, -13 = -x - 5*f - 1. Suppose -5*p + 18 = x*h - 7, -3*p = -15. Factor 0 + h*j**2 + 1/3*j - 1/3*j**3.
-j*(j - 1)*(j + 1)/3
Suppose 327*v + 95 + 2205*v**2 + 40 + 618*v + 1715*v**3 = 0. What is v?
-3/7
Let p = 910/9 + -101. Let a(k) be the third derivative of 0*k - p*k**3 + 1/90*k**5 + 0 + 0*k**4 + 3*k**2. Factor a(i).
2*(i - 1)*(i + 1)/3
Suppose -20 = -4*u + 4*p, 3*u + 0*u - 4*p - 20 = 0. Suppose -n + 2 = -u. Solve -84*x**3 + 68*x + 110*x**3 - 28*x**4 - 49*x**5 + 182*x**n + 117*x**3 + 8 = 0.
-1, -2/7, 2
Suppose 40*a - 45*a + 101*a + 2*a**3 - 89 - 24*a**2 - 39 = 0. Calculate a.
4
Let d be (9 - 5)*(-1 - -2). Let r be d/8 + 2/(-12). Factor -r*i**4 + 0*i + 2/3*i**3 + 0 - 1/3*i**2.
-i**2*(i - 1)**2/3
Factor -2/9*s**2 + 0*s + 0 + 2/9*s**3.
2*s**2*(s - 1)/9
Factor 11*d**2 + 2*d**2 - 4*d**3 - 5*d**2.
-4*d**2*(d - 2)
Let q = 26 - 24. Let z(k) be the first derivative of -1/2*k**q - 4 + 1/2*k + 1/6*k**3. Solve z(u) = 0 for u.
1
Factor r**2 + 1/2*r**3 + 1/2*r + 0.
r*(r + 1)**2/2
Let d be 3/9*(3 - 2). Let r = -1 + 1. Factor 1/3*c**4 + 1/3*c**3 - 1/3*c**2 - d*c + r.
c*(c - 1)*(c + 1)**2/3
Let n(g) = g + 7. Let x be n(-7). Suppose z - 12 = m - 2*z, 2*z - 10 = x. Solve 4*y + 2*y**2 + 0*y + y**3 - m*y**3 = 0.
-1, 0, 2
Let l(p) be the first derivative of 2*p**3/15 - 2*p**2/5 + 6. Find q such that l(q) = 0.
0, 2
Let j(i) be the first derivative of -i**5/7 + i**4/14 + 5*i**3/21 - i**2/7 + 2. Factor j(b).
-b*(b - 1)*(b + 1)*(5*b - 2)/7
Let b = -649/3 + 217. Factor -b*y - 8/9*y**2 + 14/9*y**3 + 0.
2*y*(y - 1)*(7*y + 3)/9
Let u(v) be the second derivative of v**5/50 - v**4/5 + 4*v**3/5 - 8*v**2/5 - v. Let u(w) = 0. What is w?
2
Let a(o) be the first derivative of -o**7/350 - o**6/75 - o**5/50 + o**3/30 + 3*o**2/2 - 4. L