- 3/4*w**2 = 0.
-2, -1/2, 0, 1
Let p(m) be the third derivative of 5*m**8/448 - 9*m**7/140 + 17*m**6/160 - m**4/8 - 7*m**2. Find n such that p(n) = 0.
-2/5, 0, 1, 2
Let w(m) be the first derivative of m**4/36 - m**3/18 - m**2/3 + m + 1. Let h(x) be the first derivative of w(x). Suppose h(b) = 0. Calculate b.
-1, 2
Factor -1/3*w**2 - 4/3*w**4 - 5/3*w**3 + 0 + 0*w.
-w**2*(w + 1)*(4*w + 1)/3
Solve -8/5*m + 8/5*m**3 - 16/5*m**2 + 4/5 + 12/5*m**4 = 0 for m.
-1, 1/3, 1
Suppose z - 4*c - 20 = -3*z, -2*z - 8 = 4*c. Let 0 + 0*r + 2/7*r**z - 2/7*r**3 = 0. What is r?
0, 1
Let h(b) = -b**3 - 8*b**2 - 7*b + 7. Let p be h(-7). Suppose 0 = 3*g - p*g + 8. Suppose -2*y**2 - 5*y + 3*y - 1 + y**g = 0. Calculate y.
-1
Let h be ((-9)/4)/3 - (-8 - -7). Solve 0*n + h - 1/4*n**2 = 0 for n.
-1, 1
Let h(j) be the first derivative of -j**6/21 + 3*j**4/7 - 16*j**3/21 + 3*j**2/7 - 12. Factor h(i).
-2*i*(i - 1)**3*(i + 3)/7
Let m(v) be the first derivative of -1/9*v**3 + 1/2*v**2 - 4 + 0*v. Solve m(y) = 0 for y.
0, 3
Let f(w) be the third derivative of -w**6/120 - w**5/60 + 9*w**2. Factor f(r).
-r**2*(r + 1)
Let s be (-6)/(-4)*(-202)/(-101). Find u such that 0 + 3/5*u**s - 3/5*u - 1/5*u**4 + 1/5*u**2 = 0.
-1, 0, 1, 3
Factor 0 + 8/9*n + 32/9*n**2 + 2*n**4 + 14/3*n**3.
2*n*(n + 1)*(3*n + 2)**2/9
Let z(x) = x**3 + 7*x**2 - x - 4. Let m be z(-7). Let o(q) be the second derivative of -q**2 + 5/12*q**4 + q + 0 + 1/2*q**m. Factor o(i).
(i + 1)*(5*i - 2)
Let w(c) = -c**2 - 11*c + 1. Let f be w(-11). Factor -f + 5 + 2*s**2 + 2*s**3 - 2*s - 6.
2*(s - 1)*(s + 1)**2
Factor -2/3*p**3 + 0*p**4 + 0 + 2/9*p**5 + 0*p + 4/9*p**2.
2*p**2*(p - 1)**2*(p + 2)/9
Let y(d) be the first derivative of -d**3/3 - 2*d**2 - 5*d + 7. Let c(a) = 6*a**2 + 21*a + 26. Let w(u) = -2*c(u) - 11*y(u). Let w(x) = 0. What is x?
-1, 3
Let x(p) be the third derivative of -p**5/20 - p**4/4 - 7*p**2. What is l in x(l) = 0?
-2, 0
Let x(f) be the first derivative of 3/2*f**2 + 0*f + 1/4*f**4 + 3/2*f**3 + 1/60*f**5 - 1. Let m(w) be the second derivative of x(w). Let m(u) = 0. Calculate u.
-3
Let z(r) = -r**5 + r**4 + 25*r**3 - 23*r**2 - 24*r + 11. Let k(f) = -8*f**3 + 8*f**2 + 8*f - 4. Let o(x) = -11*k(x) - 4*z(x). Factor o(n).
4*n*(n - 2)*(n - 1)*(n + 1)**2
Let g(u) = u**3 + 3*u**2 - 2*u + 1. Let w be g(-4). Let y be -4 - (-2 - w/(-3)). Solve -2/3*t - 1/3 - y*t**2 = 0 for t.
-1
Let d be ((1 - 0) + -1)/(47 + -48). Factor 1/3*s**2 - 1/3*s**4 + d - 1/3*s + 1/3*s**3.
-s*(s - 1)**2*(s + 1)/3
Let w(s) = -11*s - 8. Let p be w(-1). Solve 0 + 1/2*m**p - 1/2*m**4 + m**2 + 0*m = 0.
-1, 0, 2
Let d(t) = -2*t**5 + 11*t**3 + 4*t**2 - 5*t + 5. Let h(b) = -b**5 + 5*b**3 + 2*b**2 - 2*b + 2. Let w(c) = -2*d(c) + 5*h(c). Factor w(u).
-u**2*(u - 2)*(u + 1)**2
Let u(a) be the first derivative of 0*a + 24*a**2 - 3 + 8*a**3 + 3/4*a**4. Determine t so that u(t) = 0.
-4, 0
Suppose -p = 4*p + 25. Let f be -5 - -2 - 19/p. Factor -2/5*v**3 + 0 + f*v**2 - 2/5*v.
-2*v*(v - 1)**2/5
What is c in -2/3 + 2/3*c**5 + 2/3*c + 4/3*c**2 - 4/3*c**3 - 2/3*c**4 = 0?
-1, 1
Let o(d) be the first derivative of -d**6/120 + 2*d**5/45 - d**4/18 + 3*d**2/2 - 2. Let n(k) be the second derivative of o(k). What is t in n(t) = 0?
0, 2/3, 2
Let a(j) be the second derivative of 1/6*j**5 + j**4 + 0 - 8/3*j**2 + 4/3*j**3 + 5*j. Factor a(y).
2*(y + 2)**2*(5*y - 2)/3
Let h(b) be the third derivative of -b**8/420 - b**7/210 + b**6/45 + 7*b**3/6 + 2*b**2. Let y(x) be the first derivative of h(x). Solve y(q) = 0.
-2, 0, 1
Let -3/5 - 3/5*b**2 + 6/5*b = 0. What is b?
1
Suppose 7*u = 4*u + 6. Determine i so that -2*i - 2 - 5*i**2 + 2*i**u + 2*i**2 + 1 = 0.
-1
Let g(k) = 6*k - 3. Let a(v) = -v**2 + 7*v - 4. Let x(o) = 3*a(o) - 2*g(o). Let x(l) = 0. Calculate l.
1, 2
Find q, given that 2*q - 10*q**2 - q**3 - 2*q + 6*q**3 + 5*q = 0.
0, 1
Factor -7/4*o**4 - 1/2*o**3 + 0*o - o**5 + 0 + 1/4*o**2.
-o**2*(o + 1)**2*(4*o - 1)/4
Let b(u) = -u**2 - 8*u - 9. Let g be b(-7). Let d be g/1*(1 + -9). Factor 8*i**4 + 11*i - 8*i**3 + i**2 - 2 + 12*i**4 - d*i**2.
(i + 1)*(2*i - 1)**2*(5*i - 2)
Let k(h) be the first derivative of 1/24*h**4 - 1/180*h**5 + 1/2*h**2 + 2 - 1/9*h**3 + 0*h. Let p(a) be the second derivative of k(a). Factor p(m).
-(m - 2)*(m - 1)/3
Let u(k) = k**4 + k**3 + k**2 + k. Let j(f) = 3*f**5 + 10*f**4 - 5*f**3 - 8*f**2 + 16*f. Let a(m) = j(m) - 4*u(m). Determine y so that a(y) = 0.
-2, 0, 1
Let q be -5*(1 + 24/(-15)). Factor -w**3 + 0*w**2 - q*w**4 + 3*w**2 + 6*w**4 - 5*w**3.
3*w**2*(w - 1)**2
Let p(m) = m**3 - 2*m**2 - 2*m. Let s be p(3). Let w be 4 + -6 - (1 - s). Find x, given that 1/3*x**2 + 0 + w*x + 1/3*x**4 + 2/3*x**3 = 0.
-1, 0
Let y(r) be the first derivative of r**5/35 - 5*r**4/28 - r**3/21 + 5*r**2/14 + 19. Factor y(z).
z*(z - 5)*(z - 1)*(z + 1)/7
Let k(i) = 9*i**2 + 20*i + 29. Let t(a) = -4*a**2 - 10*a - 14. Let x(h) = -2*k(h) - 5*t(h). Determine c, given that x(c) = 0.
-3, -2
Let v(y) = -y**2 - 12*y + 15. Let z be v(-13). Factor 0*b**2 + z*b**2 + 6*b**4 - 15*b**4 + 7*b**3.
-b**2*(b - 1)*(9*b + 2)
Let i be (-30)/(-40)*(64/3)/4. Factor 6/7*k + 0 - 15/7*k**2 - 3/7*k**5 + 3/7*k**i + 9/7*k**3.
-3*k*(k - 1)**3*(k + 2)/7
Factor -2/7*w**2 - 32/7 + 16/7*w.
-2*(w - 4)**2/7
Suppose 0 = 7*o - 3*o - 8. Suppose l + u = 0, 0*l + o*l - 2*u = 12. What is c in c**3 + 8*c**l - 2*c**2 - 3*c**3 = 0?
0, 1/3
Suppose 3*q**5 - q**5 + 5*q**2 + q**5 + 9*q**4 - 2*q**2 + 9*q**3 = 0. Calculate q.
-1, 0
Let p(j) be the third derivative of 1/15*j**4 + 0*j - 1/525*j**7 + 0 - 4/75*j**5 + 0*j**3 + 1/60*j**6 + 9*j**2. Factor p(b).
-2*b*(b - 2)**2*(b - 1)/5
Factor i**3 - 7*i + 22*i**2 - 27*i**2 + 4 + 3*i**3 - 2.
(i - 2)*(i + 1)*(4*i - 1)
Suppose -18*o = -15*o. Let f(q) = q**3 - 5*q**2 - 5*q + 4. Let l be f(6). Find s such that o*s + s**2 + s - 6*s**5 - 5*s - 2*s**4 + s**2 + l*s**3 = 0.
-1, 0, 2/3, 1
Suppose 7*j - 16 = 3*j. Find f, given that 4*f**5 - f**4 - 1 + j*f - 5*f**3 + 2*f**2 - 3*f**3 + 0*f**3 = 0.
-1, 1/4, 1
Let a be 35/140*(12 - 0). Let w(z) be the second derivative of z + 0*z**2 + 0*z**a - 1/30*z**5 - 1/63*z**7 - 2/45*z**6 + 0*z**4 + 0. Factor w(d).
-2*d**3*(d + 1)**2/3
Let m = -2 + -1. Let k be 1 + (m - -3) + 1. Find g, given that -14*g**2 + 9*g**3 - g**3 + 10*g + 4 - 4*g**2 - 4*g**k = 0.
-1/4, 1, 2
Suppose 22/5*u**3 + 12/5 - 6/5*u**4 - 6/5*u**2 - 22/5*u = 0. What is u?
-1, 2/3, 1, 3
Let i be ((-4)/(-8))/((-2)/(-12)). Let u be i*(-4)/(-6) + 0. Solve -2*g**4 - 6*g**4 + u*g**2 + 6*g**4 + 2*g**3 - 2*g = 0 for g.
-1, 0, 1
Factor 4/9*c + 0 - 2/3*c**3 + 2/9*c**2.
-2*c*(c - 1)*(3*c + 2)/9
Let g(s) be the third derivative of s**8/11200 - s**7/4200 + s**4/3 - 4*s**2. Let j(y) be the second derivative of g(y). Determine i, given that j(i) = 0.
0, 1
Let p(u) be the first derivative of 1/8*u**2 - 1/4*u + 11/12*u**3 - 1/2*u**5 + 7/16*u**4 - 3 - 1/3*u**6. Solve p(f) = 0.
-1, -1/2, 1/4, 1
Let -1/5*x**3 + 4/5 - 3/5*x**2 + 0*x = 0. What is x?
-2, 1
Factor 7*p**5 - 6*p**4 - p**5 + p**3 - 3*p**5 + 2*p**3.
3*p**3*(p - 1)**2
Let j(w) = 5*w**4 + 5*w**3 - w**2 - w. Let t(u) = -66*u**4 - 66*u**3 + 12*u**2 + 12*u. Let g(a) = 27*j(a) + 2*t(a). Factor g(o).
3*o*(o - 1)*(o + 1)**2
Let m be 9/12 - (-71)/(-96). Let d(l) be the third derivative of 7/240*l**5 - l**2 + 0*l - 1/12*l**4 + 0 + m*l**6 - 1/6*l**3. Factor d(v).
(v - 1)*(v + 2)*(5*v + 2)/4
Factor -3*p**3 + 9*p**2 + 391 - 3*p**4 + 2*p - 385 + 13*p.
-3*(p - 2)*(p + 1)**3
Let r(h) = h**5 - h**4 - h**2 + h. Let w(y) = 3*y**5 - 7*y**4 + 6*y**3 + 5*y**2 + 9*y. Let u(v) = -5*r(v) + w(v). Find m, given that u(m) = 0.
-1, 0, 2
Let k(b) be the third derivative of 3*b**7/140 - b**6/8 + 37*b**5/120 - 5*b**4/12 + b**3/3 + 12*b**2. Factor k(a).
(a - 1)**2*(3*a - 2)**2/2
Let o(g) be the second derivative of -g**6/360 + g**4/24 - g**3/6 - 5*g. Let l(z) be the second derivative of o(z). Factor l(y).
-(y - 1)*(y + 1)
Let c(m) = 1. Let v(f) be the third derivative of f**5/30 - f**4/12 - f**2. Let s(w) = -4*c(w) + v(w). Factor s(r).
2*(r - 2)*(r + 1)
Let t = -1/103 - -211/515. What is n in 4/5*n + t*n**2 + 0 = 0?
-2, 0
Suppose 3*y + 26 = 4*l, -8*l - 2*y + 44 = -3*l. Let o be (-1)/l + (-74)/(-80). Suppose 0*z + 2/5*z**3 + 0 - o*z**2 = 0. Calculate z.
0, 2
Let n(q) = -q**3 - 9*q**2 - 7*q - 3. Let o be n(-8). Let m be (-2)/(-6)*(-2 - o). Factor 0*x**m + 2/7*x**4 - 4/7*x**2 + 2/7 + 0*x.
2*