= 0 for p.
0
Solve -3/4 + 3/4*c**4 + 0*c**2 - 3/2*c**3 + 3/2*c = 0.
-1, 1
Let b(q) = q**2 - 5*q. Let j be b(6). Factor -j*p**3 + 2 + 9*p**3 - 2 - 3*p**5.
-3*p**3*(p - 1)*(p + 1)
Find x, given that 25 + 3*x**2 - 15*x - 1/5*x**3 = 0.
5
Let h(o) = o**4 - o**3 + 4*o**2 - 3*o. Let j(z) = -z**4 - 3*z**2 + 2*z. Suppose -2*y = -3*t, t + 2*y - 16 = -4*t. Let w(i) = t*h(i) + 3*j(i). Factor w(a).
-a**2*(a + 1)**2
Let h(v) be the third derivative of v**8/10080 + v**7/2520 + v**5/30 - 3*v**2. Let t(o) be the third derivative of h(o). Find c such that t(c) = 0.
-1, 0
Factor -28*u**2 + 0 + 49/3*u**3 + 12*u.
u*(7*u - 6)**2/3
Let s(f) be the third derivative of -f**5/90 + f**4/4 - 8*f**3/9 + 22*f**2 - 2*f. Determine c, given that s(c) = 0.
1, 8
Let z = 3 + -1. Let n(a) be the second derivative of 0 - 1/70*a**5 + 1/21*a**3 - a + 1/42*a**4 - 1/7*a**z. Determine b so that n(b) = 0.
-1, 1
Let l = 2/369 - -4045/2583. Let r(d) be the first derivative of 1/2*d**4 + l*d**2 - 32/21*d**3 - 4/7*d + 1. Suppose r(n) = 0. What is n?
2/7, 1
Let d(l) = -5*l**3 + 84*l**2 - 165*l - 150. Let w(r) = -6*r**3 + 84*r**2 - 165*r - 150. Let v(p) = 3*d(p) - 4*w(p). Factor v(a).
3*(a - 5)**2*(3*a + 2)
Let y(d) be the second derivative of 2/21*d**3 + 0 + d - 1/210*d**5 + 1/84*d**4 - d**2. Let p(h) be the first derivative of y(h). What is w in p(w) = 0?
-1, 2
Let y(n) be the third derivative of n**6/540 - n**5/180 - n**4/18 + n**3/2 + 2*n**2. Let l(v) be the first derivative of y(v). Factor l(m).
2*(m - 2)*(m + 1)/3
Let a(x) be the third derivative of -x**8/3840 - x**7/5040 - x**4/6 - 5*x**2. Let z(n) be the second derivative of a(n). Factor z(u).
-u**2*(7*u + 2)/4
Let a(v) be the third derivative of v**8/3360 + v**7/840 + v**6/720 - 2*v**3/3 - 4*v**2. Let k(i) be the first derivative of a(i). Factor k(p).
p**2*(p + 1)**2/2
Let r be 2 + 1 - (0 + 1). Find l, given that 5/3*l**3 + 0 + 2/3*l + 7/3*l**r = 0.
-1, -2/5, 0
Suppose 174*g**3 + 5*g**4 - 20 + 9*g + 15*g**2 - 154*g**3 - 17*g - 12*g = 0. What is g?
-2, -1, 1
Let x(b) be the third derivative of -b**6/240 - b**5/24 - b**4/6 - b**3/3 - b**2. Determine s so that x(s) = 0.
-2, -1
Determine y, given that -2/13*y**2 + 0 - 2/13*y = 0.
-1, 0
Let x = -6 - -9. Factor -2*b + 4*b**3 - x*b**3 - 27*b**2 + 28*b**2.
b*(b - 1)*(b + 2)
Let w(k) be the second derivative of 5*k**7/42 + 17*k**6/120 - 5*k**5/16 - 19*k**4/48 + 5*k**3/24 + k**2/4 - 7*k. Solve w(q) = 0 for q.
-1, -1/4, 2/5, 1
Let q = 9 + -8. Suppose -5*d + 2*b = -16, d = -3*b + q - 8. Factor 4/7*v + 0 - 6/7*v**d.
-2*v*(3*v - 2)/7
Let n(r) be the second derivative of -r**4/60 - r**3/15 + 5*r. Factor n(h).
-h*(h + 2)/5
Let i be (-24)/132 - (-92)/22. Factor -g**5 + 5*g**5 + 0*g**4 - 20*g**3 + i*g**4 + 12*g**2 + 0*g**5.
4*g**2*(g - 1)**2*(g + 3)
Let p(i) be the first derivative of i**6/60 + i**5/10 + i**4/4 + i**3/3 + i**2/4 - 3*i - 3. Let s(m) be the first derivative of p(m). Factor s(d).
(d + 1)**4/2
Let g be (-10)/8 + 20/16. Find s such that -2/5*s**2 + g*s + 0 = 0.
0
Let i(z) be the third derivative of z**9/37800 - z**8/8400 - z**4/24 - 2*z**2. Let p(s) be the second derivative of i(s). Factor p(r).
2*r**3*(r - 2)/5
Let n(c) be the first derivative of -2*c - 3/10*c**4 + 2/15*c**3 + 2 + 7/50*c**5 + 0*c**2. Let g(j) be the first derivative of n(j). Factor g(o).
2*o*(o - 1)*(7*o - 2)/5
Factor -39 - 18*h**2 - 26 - 3*h**3 - 27*h + 53.
-3*(h + 1)**2*(h + 4)
What is a in -8*a + 4*a**4 - 12*a**2 - a + 0*a**4 + a = 0?
-1, 0, 2
Let u(r) be the third derivative of 0 - 1/12*r**4 - 2/105*r**7 + 1/15*r**5 + 0*r + 1/168*r**8 + 0*r**6 + 0*r**3 + 3*r**2. Let u(j) = 0. Calculate j.
-1, 0, 1
Let a be 2 + (3 + -3)/(-4). Factor -2*c + c**2 - c**2 + a*c**3.
2*c*(c - 1)*(c + 1)
Let f(q) = 2*q**4 - 2*q**3 + q**2 + 2*q + 3. Let r(w) = w + 0*w**4 - w**3 + 1 - w**4 - 2*w**4 + 4*w**4. Let x(b) = f(b) - 3*r(b). Factor x(s).
-s*(s - 1)**2*(s + 1)
Let o(k) be the second derivative of k**7/63 + 7*k**6/45 + 19*k**5/30 + 25*k**4/18 + 16*k**3/9 + 4*k**2/3 + 7*k. Factor o(y).
2*(y + 1)**3*(y + 2)**2/3
Let g(x) = -x - 5. Let k be g(-5). Suppose 4*n + 1 = -2*y - n, -3*y + 3*n + 9 = 0. Factor -h**2 - 2*h + k*h**y + 3*h**2.
2*h*(h - 1)
Let r = -1 - -4. Factor 1 + 2*w**2 - 1 - r*w**2 + w**4.
w**2*(w - 1)*(w + 1)
Let g(m) be the first derivative of m**5/150 + m**4/30 + m**2 + 4. Let d(p) be the second derivative of g(p). Suppose d(x) = 0. What is x?
-2, 0
Let a(o) be the second derivative of -o**4/6 + 2*o**3/3 - o + 11. Determine v so that a(v) = 0.
0, 2
Let x(q) be the first derivative of -2*q**3/45 + 2*q/15 - 3. Solve x(z) = 0 for z.
-1, 1
Let n(s) = s + 20. Let h be n(-14). What is f in -14/3*f**5 - 4/3*f**3 + h*f**4 + 0 + 0*f + 0*f**2 = 0?
0, 2/7, 1
Factor 0 + 3/2*h**2 + 3/2*h.
3*h*(h + 1)/2
Let t(l) = 36*l**2 + 92*l + 40. Let i(b) = -b**2 - b. Let a(r) = 24*i(r) + t(r). Factor a(o).
4*(o + 5)*(3*o + 2)
Factor -8*c + 8*c + 3*c**4 - 20*c**2 + 3 + 14*c**2.
3*(c - 1)**2*(c + 1)**2
Factor -x**4 - 2*x**2 + 25*x**3 - 3*x**4 - 31*x**3.
-2*x**2*(x + 1)*(2*x + 1)
Factor -5*q**4 - 93*q + 88*q + 5*q**3 - 1 - 9 + 15*q**2.
-5*(q - 2)*(q - 1)*(q + 1)**2
Let p(n) = n**2 - n - 1. Suppose -c + 0 = -5*l + 9, -27 = -3*c - 3*l. Let d(x) = x**2 - 3*x - 2. Let y(w) = c*p(w) - 3*d(w). Factor y(t).
3*t*(t + 1)
Let n be 2/16 + 7/(-280). Let t(c) be the first derivative of -n*c**4 - 1 - 2/3*c**3 - 8/5*c - 8/5*c**2. Factor t(w).
-2*(w + 1)*(w + 2)**2/5
Let b(a) = -3*a**2 - 21*a + 19. Let u(k) = k**2 + 11*k - 9. Let v(x) = 3*b(x) + 5*u(x). Find z such that v(z) = 0.
-3, 1
Factor 20 - 5*o + 7*o**2 - 12*o**2 - 15*o + 5*o.
-5*(o - 1)*(o + 4)
Let y be (-4)/6 - (-86)/65. Let o = 2/195 + y. Factor -2/3 - 2/3*g**3 + 2/3*g**2 + o*g.
-2*(g - 1)**2*(g + 1)/3
Suppose 0*l - 5*l = -25. Find v such that -18 + v**l - 2*v**3 + v + 0*v**5 - 2*v**4 + 4*v**2 + 0*v**4 + 16 = 0.
-1, 1, 2
Let o(m) be the first derivative of -2*m**5/15 + 7*m**4/6 - 4*m**3 + 20*m**2/3 - 16*m/3 + 16. Let o(t) = 0. Calculate t.
1, 2
Let x(a) = -8*a**3 + 77*a**2 + 134*a + 71. Let c(u) = 3*u**3 - 26*u**2 - 45*u - 24. Let j(z) = 17*c(z) + 6*x(z). Determine b so that j(b) = 0.
-3, -2/3
Let p(q) be the second derivative of q**2 - 1/4*q**4 - 1/3*q**3 + 0 - 1/15*q**5 - 2*q. Let g(h) be the first derivative of p(h). Find s such that g(s) = 0.
-1, -1/2
Let c(s) be the third derivative of -s**8/2016 + s**6/80 + s**5/90 - s**4/12 - 56*s**2. Solve c(y) = 0 for y.
-2, 0, 1, 3
Suppose -25 = -0*r - 5*r. Let z = r - 5. Factor -2/9*j**2 + 0*j + z + 0*j**3 + 4/9*j**5 + 2/3*j**4.
2*j**2*(j + 1)**2*(2*j - 1)/9
Let w(r) be the third derivative of 3*r**7/350 - r**6/100 + r**5/300 - r**2. Determine n so that w(n) = 0.
0, 1/3
Suppose 14*r = -0*r + 84. Let w(k) be the second derivative of -1/18*k**4 + 1/63*k**7 + 0 + 1/45*k**r + 3*k + 0*k**2 + 0*k**3 - 1/30*k**5. Solve w(i) = 0.
-1, 0, 1
Let m = -76 + 78. Factor -1/3*d**3 + d**m - 4/3 + 0*d.
-(d - 2)**2*(d + 1)/3
Factor -29*g - 27*g - 36*g + 80*g + g**2.
g*(g - 12)
Let v be (3 - (-6 - -4)) + -2*1. Let f(r) be the first derivative of 1/2*r**4 + 1 + 5*r**2 + 4*r + 8/3*r**v. What is k in f(k) = 0?
-2, -1
Factor -7*n**5 + 8*n**5 - 4*n**5.
-3*n**5
Let m(s) be the third derivative of -s**8/84 + 2*s**7/21 - s**6/3 + 2*s**5/3 - 5*s**4/6 + 2*s**3/3 + 22*s**2. Determine z, given that m(z) = 0.
1
Let w(l) be the third derivative of l**7/315 + l**6/36 + 7*l**5/90 + l**4/12 + 2*l**2. Suppose w(c) = 0. Calculate c.
-3, -1, 0
Let j(t) be the first derivative of t**7/210 - t**6/40 + t**5/60 + t**4/8 - t**3/3 + 3*t**2 + 5. Let d(b) be the second derivative of j(b). Factor d(r).
(r - 2)*(r - 1)**2*(r + 1)
Let z(y) be the third derivative of -y**8/1512 + y**6/270 - y**4/108 + 10*y**2. Let z(g) = 0. What is g?
-1, 0, 1
Let a(h) = -3*h**2 + 6*h - 7. Let z(d) = -1. Let n(x) = a(x) - 4*z(x). Find k, given that n(k) = 0.
1
Let f be (-10)/45 - 22/(-18). Factor -3/2*b + 1/2*b**2 + f.
(b - 2)*(b - 1)/2
Let u(y) = y**3 - 5*y**2 - 6. Let o be u(6). Let r be (1/3)/(5/o). What is d in d**r + 3*d - 2*d + 1 + d = 0?
-1
Let s(n) be the third derivative of -n**5/150 + n**4/20 - 2*n**3/15 - 11*n**2 - 2*n. Suppose s(j) = 0. Calculate j.
1, 2
Let l(r) = -6*r**2 + 15*r - 9. Let b(t) = 11*t**2 - 30*t + 19. Let p(a) = -3*b(a) - 5*l(a). Find o such that p(o) = 0.
1, 4
Let v be ((-24)/14 + 2)*14/6. Find r such t