 Solve y(x) = 0 for x.
-4, -1, 0
Let j(x) = -4*x**5 + 2*x**4 - 3*x**2 - 3*x + 3. Let p(c) = 19*c**2 - 7*c**5 + 5 - 5*c - c**4 - 24*c**2 + 4*c**4. Let b(s) = 5*j(s) - 3*p(s). Factor b(r).
r**4*(r + 1)
Suppose -3*y = -4*l + 13, -y - 19 = -4*y - 4*l. Let g be y/4 - 77/(-140). Factor 5*j**2 + 8/5*j - g - 14/5*j**3.
-(j - 2)*(2*j + 1)*(7*j - 2)/5
Let j(h) be the third derivative of h**7/210 - h**6/24 + h**5/10 + h**4/6 - 4*h**3/3 + 5*h**2. Determine c so that j(c) = 0.
-1, 2
Let r be (-2)/6 - 7/(-3). Let k be 12/(3 + 1) + 2. Factor 0*h - r*h**2 - 2*h**4 + 4*h**2 - 4*h**5 - h + k*h**5.
h*(h - 1)**3*(h + 1)
Let z(l) be the second derivative of -l**6/70 - 3*l**5/35 - 5*l**4/28 - l**3/7 - 8*l. Let z(b) = 0. Calculate b.
-2, -1, 0
Solve 8/7*w**5 - 2/7*w + 0 + 2/7*w**2 + 18/7*w**3 + 22/7*w**4 = 0.
-1, 0, 1/4
Factor 0 + 3/2*z + 3/2*z**2.
3*z*(z + 1)/2
Let t be 8/(-18)*6/(-4). Suppose 3*i + b - 4 = 5*b, -5 = 3*i + 5*b. Factor t*p**2 + 1/3*p**3 + i + 1/3*p.
p*(p + 1)**2/3
Suppose 8 = 2*h + 2*h + c, -2*h + 4 = 5*c. Suppose -15*f**2 - 10 + 1 + 14*f**h - 6*f = 0. What is f?
-3
Suppose p - 3 = 12. Suppose 5*x + 0 = p. What is v in -5*v**3 + 4*v**2 + x*v**3 - 8*v**3 + 6*v**4 = 0?
0, 2/3, 1
Let f = 3 - 1. Factor -6*h**2 + 2 - 5*h**2 + 7*h**f + 2*h**4.
2*(h - 1)**2*(h + 1)**2
Suppose 2*d + 6*d = 0. Find c, given that 3/4*c**2 + d*c - 3/4*c**3 + 0 = 0.
0, 1
Let n = 5 + -3. Determine x so that n + 0*x - 4*x + 4*x**3 - 4*x**2 + 2 + 0*x = 0.
-1, 1
Let y = -27 + 34. Let p(u) be the third derivative of 0*u**4 + 8/315*u**y + 0*u**3 - 1/144*u**8 - 2*u**2 + 0 - 11/360*u**6 + 1/90*u**5 + 0*u. Factor p(m).
-m**2*(m - 1)**2*(7*m - 2)/3
Let c(d) = -6*d**4 + 6*d**3 - 3*d**2 - 3*d + 3. Let m(h) = 5*h**4 - 6*h**3 + 2*h**2 + 4*h - 3. Let u(o) = 2*c(o) + 3*m(o). Solve u(l) = 0.
-1, 1
Let n(t) be the second derivative of -t**7/273 + t**6/39 - 4*t**5/65 + 2*t**4/39 + 3*t. Let n(w) = 0. What is w?
0, 1, 2
Let d be ((-8)/64)/(2/(-20)). Solve d*i**2 - 1/2*i**3 + 1/4 - i = 0.
1/2, 1
Let s(d) = -d + 6. Let h be s(4). Let m(x) = -x**4 - x**3 - x**2 + x - 1. Let f(a) = -2*a**5 - 6*a**4 + 2*a**2 + 2*a - 2. Let l(i) = h*m(i) - f(i). Factor l(b).
2*b**2*(b - 1)*(b + 1)*(b + 2)
Let x(w) = w**2 - 6*w + 3. Let k be x(6). Let u = -65 + 261/4. Solve -u*o**k - 5/4*o - o**2 - 1/2 = 0 for o.
-2, -1
Let m(z) be the third derivative of z**5/50 + z**4/5 + 4*z**3/5 + 31*z**2. Find i, given that m(i) = 0.
-2
Solve -2/7*j**3 + 2/7*j + 0 + 0*j**2 = 0.
-1, 0, 1
Let p = -18 - -21. Let -4*m**4 + 10*m**5 - m**2 + 6*m**4 - m**2 - 8*m**p - 2*m**3 = 0. What is m?
-1, -1/5, 0, 1
Let l(w) be the second derivative of 11*w**4/12 - 53*w**3/6 - 5*w**2 - 70*w. Solve l(v) = 0.
-2/11, 5
Suppose 0 = 4*u + 18 + 14. Let n be 1 - -3*2/u. Suppose -n*i + 0 - 1/4*i**4 + 1/4*i**2 + 1/4*i**3 = 0. Calculate i.
-1, 0, 1
Find a such that -8*a**4 - 2 + 13*a**4 + 2 - 5*a**3 = 0.
0, 1
Let n(i) = -i**4 + i**2 - i - 1. Let a(p) = -9*p**4 - 2*p**3 + 11*p**2 - 4. Let g be 5*((-24)/(-5))/(-1). Let u(b) = g*n(b) + 3*a(b). Factor u(t).
-3*(t - 2)*(t + 1)**2*(t + 2)
Let n(k) = k + 15. Let j be n(-15). Find s such that -2/7 + 2/7*s**2 + j*s = 0.
-1, 1
Let w be (-6)/(-18)*(10 + -1). Let r = 5 - w. Find a, given that 2*a**4 + 3 - 3 - r*a**2 = 0.
-1, 0, 1
Let b(f) = -4*f - 5. Let d be b(-3). Factor 2*w + w + 3*w**3 + w**2 - d*w**2.
3*w*(w - 1)**2
Let q(l) be the second derivative of -l**2 + 1/5*l**5 - 1/3*l**3 + 2*l - 1/15*l**6 + 0 - 1/21*l**7 + 1/3*l**4. Factor q(s).
-2*(s - 1)**2*(s + 1)**3
Let a = -1/136 + 823/952. Solve -4/7 + 0*h**2 + a*h - 2/7*h**3 = 0 for h.
-2, 1
Let z(g) = 10*g**2 + 4*g + 2. Let x be z(-2). Let s = 34 - x. Determine d so that 0*d**3 + 0 + 1/3*d**4 + s*d - 1/3*d**2 = 0.
-1, 0, 1
Suppose -6 = -2*x + 8. Factor b**2 - x + 7 + 2*b.
b*(b + 2)
Let f(i) be the third derivative of -i**6/4 + i**5/15 + 5*i**4/4 - 2*i**3/3 - 10*i**2. Factor f(p).
-2*(p - 1)*(p + 1)*(15*p - 2)
Let x(f) be the first derivative of f**5/6 - f**4 + 4*f**3/3 - 3*f**2/2 + 5. Let d(p) be the second derivative of x(p). Factor d(s).
2*(s - 2)*(5*s - 2)
Let c be 2/(-21) + (-9)/(-21). Let b(o) be the first derivative of -o**2 - 1/2*o - c*o**6 + 1 - 1/10*o**5 + o**4 + 1/3*o**3. Solve b(t) = 0 for t.
-1, -1/4, 1
Let i(p) = 5*p**3 + p**2 - 3*p. Suppose 2*x = -4*b + 14, -2*b - 3*b = -4*x + 2. Let k(z) = -6*z**3 - 2*z**2 + 4*z. Let n(w) = x*k(w) + 4*i(w). Factor n(f).
2*f**2*(f - 1)
Let m(d) be the second derivative of -d**5/8 + d**4/2 - 3*d**3/4 + d**2/2 - 8*d. Factor m(p).
-(p - 1)**2*(5*p - 2)/2
Suppose -4*s = 7*s - 22. Let d(m) be the first derivative of -1/6*m**s - 2/3*m + 1/9*m**3 - 3. Find z such that d(z) = 0.
-1, 2
Let j(o) be the third derivative of 0 - 1/140*o**6 + 0*o - 4/21*o**3 + 1/30*o**5 + 0*o**4 + o**2. Factor j(u).
-2*(u - 2)*(u - 1)*(3*u + 2)/7
Suppose 17 = 5*a + 2. Let h be (-32)/132*a/(-4). Solve 0 + 2/11*t**2 - 2/11*t**3 + h*t - 2/11*t**4 = 0.
-1, 0, 1
Let s(z) be the second derivative of z**7/21 - z**6/15 - z**5/10 + z**4/6 + 21*z. Find r, given that s(r) = 0.
-1, 0, 1
Suppose 3*v = -v. Suppose -k + 3*k = v. Determine b, given that -1/4*b**4 + k*b**2 + 1/2*b + 1/4 - 1/2*b**3 = 0.
-1, 1
Let z(x) be the second derivative of -x**4/4 - x**3/2 - 7*x. Factor z(j).
-3*j*(j + 1)
Suppose -5*m + 1314 - 33 = p, 4*m = -5*p + 1008. Let v = m + -1281/5. What is c in 0*c**2 - 2/5*c**4 + 2/5 - v*c + 4/5*c**3 = 0?
-1, 1
Let y(g) be the first derivative of 1/3*g**6 + 0*g**5 - g**4 - 2 + 0*g + g**2 + 0*g**3. What is s in y(s) = 0?
-1, 0, 1
Let r(t) be the second derivative of -t**7/105 - 2*t**6/25 - 13*t**5/50 - 2*t**4/5 - 4*t**3/15 - 6*t. Solve r(s) = 0 for s.
-2, -1, 0
Suppose -4*i - 30 = k, -15 = 2*k + i + 17. Let d be ((-3)/2)/(7/k). Factor -1/2*h**4 + 3/2*h**2 - 1/2*h**d + 1/2*h - 1.
-(h - 1)**2*(h + 1)*(h + 2)/2
Factor 0*s**2 + 0 + 21/5*s**5 - 3*s**4 - 6/5*s**3 + 0*s.
3*s**3*(s - 1)*(7*s + 2)/5
Let d(g) be the first derivative of -g**5/60 - g**4/18 - g**3/18 - 6*g - 8. Let w(x) be the first derivative of d(x). Suppose w(s) = 0. Calculate s.
-1, 0
Let r = -2 - -2. Let z(y) be the third derivative of -1/36*y**5 + 0 - y**2 + 1/9*y**3 + 1/24*y**4 + r*y. Find h, given that z(h) = 0.
-2/5, 1
Let f be (-8)/6*24/(-16). Let s(r) be the first derivative of 2 - 1/3*r**3 + 0*r + 0*r**f. What is o in s(o) = 0?
0
Let i(p) = -5*p**5 + 12*p**4 + 13*p**3 + 18*p**2 + 10*p + 6. Let h(q) = q**5 - q**4 - q**2 - q - 1. Let g(n) = -6*h(n) - i(n). Suppose g(u) = 0. What is u?
-2, -1, 0
Let k = 8 - 6. Let -3*l**4 + 4*l**4 - k*l**3 + 2*l**3 + l**3 = 0. Calculate l.
-1, 0
Let z(b) = -b**4 + 9*b**3 - 33*b**2 - 9*b + 21. Let c(o) = 4*o**3 - 16*o**2 - 4*o + 10. Let q(n) = 13*c(n) - 6*z(n). Factor q(j).
2*(j - 1)**2*(j + 1)*(3*j + 2)
Let u(o) be the third derivative of -1/15*o**3 - 1/300*o**6 - 2*o**2 + 0*o + 0 - 1/20*o**4 - 1/50*o**5. Find c such that u(c) = 0.
-1
Let f = -6 - -8. Let r(n) = 2*n**5 - 8*n**3 - 12*n**2 - 4*n. Let b(w) = w**4 + w**3 + w**2. Let t(p) = f*b(p) + r(p). Factor t(d).
2*d*(d - 2)*(d + 1)**3
Let a = -8/7 + 31/21. Suppose -i**2 + 1/3 + a*i - 5/3*i**3 - 2/3*i**4 = 0. Calculate i.
-1, 1/2
Let d(z) be the second derivative of -3*z**5/20 - z**4/4 + 5*z**3/2 - 9*z**2/2 + 3*z. Find w, given that d(w) = 0.
-3, 1
Let k(r) be the second derivative of -7*r**6/15 - 19*r**5/10 - 4*r**4/3 + 4*r**3/3 - 5*r. Factor k(w).
-2*w*(w + 1)*(w + 2)*(7*w - 2)
Let l(z) = -z**2 + z + 8. Let q be l(3). Factor 39/5*c + 27/5*c**3 + 12*c**q + 6/5.
3*(c + 1)**2*(9*c + 2)/5
Let f(v) be the second derivative of 0 + 0*v**2 + 1/36*v**4 + 3*v - 1/18*v**3. Suppose f(z) = 0. Calculate z.
0, 1
Let c(d) be the third derivative of 11*d**2 - 1/336*d**8 + 0*d**3 + 0*d + 0*d**5 - 1/120*d**6 + 0 + 1/105*d**7 + 0*d**4. Suppose c(o) = 0. Calculate o.
0, 1
Let d(l) be the first derivative of -l**7/420 + l**6/180 + l**3/3 + 3. Let s(g) be the third derivative of d(g). Factor s(c).
-2*c**2*(c - 1)
Find z, given that 5/3*z**5 + 0 + 0*z**2 + 0*z - 5/3*z**4 - 10/3*z**3 = 0.
-1, 0, 2
Let p(v) be the second derivative of -v**5/160 - v**4/48 - 4*v. Factor p(x).
-x**2*(x + 2)/8
Let g(x) be the second derivative of -x**6/375 + x**5/250 + 15*x. Factor g(q).
-2*q**3*(q - 1)/25
Let l(i) be the third derivative of i**5/20 + i**2. Factor l(t).
3*t**2
Let t(p) be the third derivative of 1/900*p**6 + 0*p + 1/225*p**5 + 0*p**