r v(x).
-x*(x - 4)
Solve u**2 + 2*u**2 - 32 - 5*u**2 - 16*u = 0 for u.
-4
Suppose 11*p = 6*p + 25. Let c(k) be the second derivative of 0*k**2 - 1/70*k**p - 2*k + 0 + 0*k**4 + 0*k**3. Solve c(x) = 0.
0
Let t = -81 + 733/9. Let o(g) be the first derivative of 2 - 1/6*g**4 + 0*g - 1/3*g**2 + t*g**3. Factor o(v).
-2*v*(v - 1)**2/3
Let g(m) = -3*m + 2*m - 6*m + 5*m**2 - 11 + m. Let j(i) = i**2 - i - 2. Let q(r) = -2*g(r) + 11*j(r). Factor q(u).
u*(u + 1)
Let x = 2 - -1. Find z, given that 2*z**3 - z**3 - 4*z**3 + 4*z**x = 0.
0
Let h(j) be the second derivative of 3*j**5/20 - j**4/4 - j**3/2 + 3*j**2/2 - 15*j. Factor h(b).
3*(b - 1)**2*(b + 1)
Factor 3 - 5*c**4 - 292*c**2 + 297*c**2 + 5*c - 5*c**3 - 3.
-5*c*(c - 1)*(c + 1)**2
Let q be ((-6)/(-4))/(21/28). Let m(r) be the first derivative of 1/3*r**3 - 1/4*r**q + 0*r + 2 - 1/8*r**4. Factor m(k).
-k*(k - 1)**2/2
Let b = -3/136 - -311/1768. Determine t so that -b + 0*t + 2/13*t**2 = 0.
-1, 1
Let b = -1577/3 - -527. Factor -1/3*w**3 - 5/3*w + b*w**2 + 2/3.
-(w - 2)*(w - 1)**2/3
Let z(l) be the second derivative of 0 - 1/15*l**4 - 1/50*l**5 - 1/15*l**3 + 0*l**2 + 3*l. Find y, given that z(y) = 0.
-1, 0
Let o(a) be the third derivative of a**7/3780 + a**6/540 + a**5/180 - a**4/24 + 3*a**2. Let t(r) be the second derivative of o(r). Factor t(s).
2*(s + 1)**2/3
Let k(z) be the first derivative of z**5/30 + 5*z**4/24 + z**3/2 + 7*z**2/12 + z/3 - 7. Suppose k(f) = 0. Calculate f.
-2, -1
Let u(g) be the first derivative of -g**5/150 + g**4/20 - 5*g**2/2 + 6. Let t(r) be the second derivative of u(r). Determine s, given that t(s) = 0.
0, 3
Let v(j) = 3*j**3 - j**2. Let n be v(1). Factor 15 + 22 + x**2 - 18*x + 2*x**n - 10.
3*(x - 3)**2
Let y(n) be the second derivative of -9*n + 0 + 2*n**2 + 1/6*n**4 + n**3. Find o such that y(o) = 0.
-2, -1
Let j(u) be the second derivative of -u**7/945 + u**5/135 - u**3/27 + 3*u**2/2 - 3*u. Let n(l) be the first derivative of j(l). Factor n(v).
-2*(v - 1)**2*(v + 1)**2/9
Let x = 4/29 + -163/1392. Let u(l) be the third derivative of x*l**4 + 0*l**3 + 1/240*l**5 + 0*l + 0 - 2*l**2. Factor u(z).
z*(z + 2)/4
Let g(c) be the first derivative of -c**5/5 - 3*c**4/4 - 2*c**3/3 - 10. Suppose g(u) = 0. What is u?
-2, -1, 0
Let i(p) = -10*p**4 - 11*p**3 - 7*p**2 - 6. Let w(s) = -9*s**4 - 10*s**3 - 6*s**2 - 5. Let y(q) = 5*i(q) - 6*w(q). Find k, given that y(k) = 0.
-1, -1/4, 0
Let p(y) be the first derivative of -y**3/9 - 2*y**2 - 12*y + 6. Factor p(q).
-(q + 6)**2/3
Let o(p) be the first derivative of -p**7/420 + p**5/60 - p**3/12 + 3*p**2/2 + 4. Let i(m) be the second derivative of o(m). Factor i(y).
-(y - 1)**2*(y + 1)**2/2
Let l be (-16)/(-14)*(-7)/(-6). Let v = 26/15 - l. Factor 2/5*u**2 - v - 2/5*u**3 + 2/5*u.
-2*(u - 1)**2*(u + 1)/5
Let l(t) be the third derivative of -t**8/504 + 4*t**7/315 - t**6/30 + 2*t**5/45 - t**4/36 + 30*t**2. Factor l(f).
-2*f*(f - 1)**4/3
Suppose 4*t - 44 - 4 = 0. Suppose 5*x = z - 3*z - 16, 2*z - 2*x = t. Factor -k**2 - k**2 + k**2 - z*k**4 + 3*k**3.
-k**2*(k - 1)*(2*k - 1)
Let j be (-5)/((-20)/8) + 4. Suppose -5*t - 3*w = j, 3*t - t = -3*w - 6. Factor -2/5*f**2 + t - 4/5*f.
-2*f*(f + 2)/5
Let h = -22 + 37. Find d such that 12*d + 15*d**2 + 24*d - h*d**4 + 3 + 9 - 12*d**4 - 36*d**3 = 0.
-1, -2/3, 1
Suppose 4*s = -2*o - 4, 5*o + 0*s = -s + 8. Suppose -u + 5*f = -18, 4 = u - f - o. Let -2/5*q**u - 2/5*q + 4/5*q**2 + 0 = 0. Calculate q.
0, 1
Suppose i - 5 = 28. Let w(v) = 72*v**3 - 129*v**2 + 24*v + 33. Let p(q) = 9*q**3 - 16*q**2 + 3*q + 4. Let z(f) = i*p(f) - 4*w(f). Solve z(n) = 0.
0, 1/3, 1
Let x(b) = b - 3. Let y be x(10). Factor y - 3*k - 2*k**2 + 4*k - 25 + 11*k.
-2*(k - 3)**2
Factor 8/7*s**2 + 0 + 2/7*s**3 + 8/7*s.
2*s*(s + 2)**2/7
Let b(q) be the third derivative of -q**8/84 + 2*q**7/5 - 119*q**6/30 + 79*q**5/15 + 20*q**4 - 200*q**3/3 - 65*q**2. Find x such that b(x) = 0.
-1, 1, 10
Let i(c) be the third derivative of -c**5/270 + c**4/27 + 5*c**3/27 - 16*c**2. Determine a so that i(a) = 0.
-1, 5
Let u be 22/6 - 10/(-30). Factor 0*a + 0*a**2 - 1/4*a**u + 0 + 1/4*a**5 + 0*a**3.
a**4*(a - 1)/4
Let c(w) be the second derivative of 1/2*w**3 - 1/2*w**2 + 1/20*w**5 - 1/4*w**4 - w + 0. Factor c(p).
(p - 1)**3
Let w = 195/2 + -97. Suppose 0*q - 9/2*q**5 + 0 + 0*q**2 + 3*q**4 - w*q**3 = 0. What is q?
0, 1/3
Suppose 4*j + 2 = 5*j. Let r(n) be the first derivative of 0*n - 3/10*n**4 + 2/25*n**5 + 2/5*n**3 - 1/5*n**j - 2. Let r(b) = 0. What is b?
0, 1
Factor 49 + 56 + 16*g**2 + 12*g - 109.
4*(g + 1)*(4*g - 1)
Let w(y) be the second derivative of y**7/70 + y**6/20 + y**5/20 - 2*y**2 - y. Let u(s) be the first derivative of w(s). Factor u(f).
3*f**2*(f + 1)**2
Let w be ((-595)/(-15))/7 + -5. Factor 2*o**2 + 2/3 + w*o**3 + 2*o.
2*(o + 1)**3/3
Determine c, given that 1/6*c**3 - 1/6*c + 1/6*c**2 - 1/6 = 0.
-1, 1
Let c(n) = -9*n**2 - 25*n - 26. Let q(l) = -35*l**2 - 100*l - 105. Let f(i) = -15*c(i) + 4*q(i). Factor f(y).
-5*(y + 2)*(y + 3)
Let x(p) be the second derivative of -p**6/1800 - p**5/600 + p**4/60 - p**3/6 + p. Let c(a) be the second derivative of x(a). Factor c(z).
-(z - 1)*(z + 2)/5
Let n = -9 + 14. Suppose -4*b + 18 = -x, 25 = 2*b + b + n*x. Factor 0*o**4 + o**3 - o**b + 0*o**2 + 2*o**2 - 2*o**4.
-o**2*(o - 1)*(o + 1)*(o + 2)
Let p(m) = 4*m**3 - 5*m**2 - 9*m. Let x(c) = -2*c**3 + 2*c**2 + 4*c. Let f(z) = 2*p(z) + 5*x(z). Determine r, given that f(r) = 0.
-1, 0, 1
Let t(a) be the third derivative of -2*a**7/105 - 11*a**6/60 - 19*a**5/30 - 13*a**4/12 - a**3 - 29*a**2. Solve t(b) = 0.
-3, -1, -1/2
Let b be -1 - 3 - 172326/(-48620). Let h = 1/170 - b. Factor -2/13*j**2 - 4/13 - h*j.
-2*(j + 1)*(j + 2)/13
Let p(a) be the third derivative of -a**5/60 - 3*a**4/8 + a**3/3 + a**2. Let t be p(-9). Factor 2*d**3 + 3*d + t + 4*d + 6*d**2 - d.
2*(d + 1)**3
Let h be 3/(-3 - (-8 + 4)). Let u(a) be the second derivative of -4*a + 1/48*a**4 + 0*a**2 + 1/24*a**h + 0. Find m, given that u(m) = 0.
-1, 0
Suppose -a + 2*n - 2 = -4, 5 = -5*n. Let q(g) be the second derivative of -1/4*g**4 + g + 0*g**3 + 3/10*g**5 + 0*g**2 - 1/10*g**6 + a. Factor q(j).
-3*j**2*(j - 1)**2
Solve 1/5 + 1/10*z**3 + 0*z**2 - 3/10*z = 0.
-2, 1
Let r be (12/15)/((-4)/(-50)). Suppose -3*q = -r - 2. Factor p - 4*p - p**3 + q*p.
-p*(p - 1)*(p + 1)
Let b be -1 - (-16)/5 - 2. Determine h so that -2/5*h + 0 + b*h**2 = 0.
0, 2
Let r(y) be the first derivative of -y**4/2 + 4*y**3 - 5*y**2 + 49. Determine z, given that r(z) = 0.
0, 1, 5
Let l(t) be the first derivative of -1/12*t**4 - 3 + 1/6*t**3 + 0*t**2 + 2*t. Let i(w) be the first derivative of l(w). Solve i(y) = 0 for y.
0, 1
Factor 2/11*d + 8/11*d**2 - 6/11*d**3 - 4/11.
-2*(d - 1)**2*(3*d + 2)/11
Let s(h) = -h**3 + 4*h**2 - h - 3. Let y be s(3). Factor c**2 + 3*c**y + 0*c + c - 2*c**3 - 1 - 2*c**3.
-(c - 1)**2*(c + 1)
Suppose -9*j = -7*j - 6. Let c(v) be the third derivative of 0*v + 1/3*v**4 - 1/5*v**5 - 1/3*v**j + 0 - 1/105*v**7 + 1/15*v**6 - v**2. Factor c(o).
-2*(o - 1)**4
Let h(f) be the third derivative of f**6/1200 + f**5/200 + f**4/120 + 32*f**2. Let h(a) = 0. Calculate a.
-2, -1, 0
Suppose -9 + 3*h**2 + 4*h - 18*h + 8*h = 0. What is h?
-1, 3
Let t(z) = -z**4 - z**3 + z**2 - 1. Let d(m) = 5*m**4 - 8 + 3*m**2 + 3 - 5*m**3 - 16*m + 24*m. Let p be -2*2*6/8. Let c(f) = p*t(f) - d(f). Factor c(j).
-2*(j - 2)**2*(j - 1)*(j + 1)
Let p(o) = o**3 - o + 2. Let w be (5/2 + -2)*0. Let v be p(w). Factor 2*j + j**2 - 2*j**2 - 3*j + v*j.
-j*(j - 1)
Let i(p) = 20*p**4 + 48*p**3 + 12*p**2 - 92*p - 12. Let c(z) = 8*z**4 + 19*z**3 + 5*z**2 - 37*z - 5. Let n(s) = -12*c(s) + 5*i(s). Suppose n(y) = 0. What is y?
-2, 0, 1
Let u(r) = r**3 - r**2 + 3*r + 1. Let w(s) = 2*s**3 - 2*s**2 + 5*s + 2. Let x(n) = 7*u(n) - 4*w(n). Factor x(m).
-(m - 1)**2*(m + 1)
Let g(h) be the third derivative of -h**6/160 - h**5/80 + h**4/32 + h**3/8 - 5*h**2. Factor g(d).
-3*(d - 1)*(d + 1)**2/4
Let h(t) be the second derivative of -t**6/21 - 17*t**5/70 - 8*t**4/21 - 4*t**3/21 - 42*t. Suppose h(g) = 0. Calculate g.
-2, -1, -2/5, 0
Let d(u) = -u**2 + 1. Let q be d(1). Solve z**2 + q + z + z - 2 - z = 0.
-2, 1
Let f(m) be the third derivative of m**5/420 - 5*m**4/84 + 25*m**3/42 - 10*m**2. Let f(b) = 0. What is b?
5
Let q(l) = 4*l + 4. Let y be q(4). Let a be y/25*5/2. Factor 2*c**a + 4*c*