rivative of -u**4/72 - u**3/18 - u**2/12 - 7*u. Factor l(s).
-(s + 1)**2/6
Let i = 1994/7 + -284. Solve 4/7 - 10/7*j**2 + i*j = 0.
-2/5, 1
Suppose y = 3*x - 0*x - 36, -20 = -5*x. Let v be 38/12 + 4/y. Find o, given that -4*o**2 + 18*o - 14*o + 2*o**v - 2*o**2 = 0.
0, 1, 2
Let d(u) = u. Let b(q) = 4*q**2 - 45*q + 44. Let t(f) = -b(f) + 3*d(f). Factor t(y).
-4*(y - 11)*(y - 1)
Let c(l) = l + 22. Let b be c(-16). Let z(j) be the second derivative of -2/3*j**2 + 0 + 7/90*j**b + 3/4*j**4 + 3*j - 2/9*j**3 - 13/30*j**5. Factor z(r).
(r - 2)*(r - 1)**2*(7*r + 2)/3
Let z(p) = 13*p**4 - 29*p**3 - 72*p**2 - 40*p. Let b(q) = 72*q**4 - 160*q**3 - 396*q**2 - 220*q. Let l(g) = 5*b(g) - 28*z(g). Suppose l(v) = 0. Calculate v.
-1, 0, 5
Let z = -4039/40 - -101. Let i(f) be the second derivative of 1/8*f**4 + 0 - 1/4*f**2 - 1/12*f**3 + f + z*f**5 - 1/30*f**6. Solve i(g) = 0 for g.
-1, -1/2, 1
Let k be (12/14)/(45/42). Solve -k + 2/5*p**2 + 2/5*p = 0.
-2, 1
Let i be ((-28)/(-6))/((-10)/(-30)). Factor -28*x**2 + 32*x**2 - i*x + 16 - 2*x.
4*(x - 2)**2
Let k(t) be the second derivative of t**6/90 - t**5/15 + t**4/6 - 2*t**3/9 + t**2/6 + 11*t. Suppose k(p) = 0. Calculate p.
1
Let q(y) be the third derivative of -y**5/180 - y**4/36 + y**3/6 - 8*y**2. Find u such that q(u) = 0.
-3, 1
Let u(w) = -w**3 + 4*w**2 + 7*w - 5. Let p be u(5). Suppose 3 + 7 = p*h. Factor -5/3*j**5 + 0*j + 0 - 1/3*j**3 + 2/3*j**h - 8/3*j**4.
-j**2*(j + 1)**2*(5*j - 2)/3
Suppose 0*y - 5*y = -3*w + 45, 18 = -2*y + 3*w. Let a = y + 11. Find g, given that 1/2*g**a - g**3 + 0 + 1/2*g**4 + 0*g = 0.
0, 1
Find h, given that 21 - 4*h**2 - 21 - 8*h**3 - 2*h**4 - 4*h - 6*h**2 = 0.
-2, -1, 0
Let t(k) be the first derivative of -k**3/6 + k/2 - 3. Factor t(q).
-(q - 1)*(q + 1)/2
Let a(c) be the first derivative of 2/25*c**5 - 1 + 1/10*c**4 + 0*c + 0*c**2 + 0*c**3. Find y such that a(y) = 0.
-1, 0
Let x(y) be the second derivative of -y**4/8 + 7*y**3/6 - 2*y**2 - 32*y. Determine r, given that x(r) = 0.
2/3, 4
Suppose 21 = u + 3*w + 6, -5*w + 1 = -u. Let o = u + -6. Find q such that 2*q**3 + q**3 + 2*q - 5*q**o = 0.
-1, 0, 1
Suppose 0 = 7*b - 9*b. Factor 0*r + b*r**2 - 1/2*r**4 + 1/2*r**5 + 0 + 0*r**3.
r**4*(r - 1)/2
Let -2/7*a**2 + 4/7*a + 0 = 0. What is a?
0, 2
Let p be (-22)/3 - -4 - -4. Let f = p + -1/6. Solve 0*s**3 + f*s**4 + 1/2*s**5 + 0*s + 0 + 0*s**2 = 0.
-1, 0
Let k(q) be the second derivative of q**6/720 - q**4/48 + q**3/3 - q. Let b(l) be the second derivative of k(l). Factor b(r).
(r - 1)*(r + 1)/2
Let l = -7 + -2. Let d = l + 9. Factor -2 - 2 + 6*q + d*q - 2*q**2.
-2*(q - 2)*(q - 1)
Let c be (-4)/(1 + (-2)/6). Let a be 5*c/75*-2. Let 0*n + 2/5*n**4 + 0*n**2 + a*n**3 + 0 = 0. What is n?
-2, 0
Find t, given that 1 + 1/6*t**5 + 2/3*t**4 - 5/3*t**2 - 1/6*t + 0*t**3 = 0.
-3, -2, -1, 1
Suppose 80*c - 87*c + 14 = 0. Factor -5/2*j**c - 7/2*j**3 + j + 0.
-j*(j + 1)*(7*j - 2)/2
Let q(n) be the third derivative of n**9/30240 + n**8/26880 + n**4/12 + 3*n**2. Let v(y) be the second derivative of q(y). Determine m so that v(m) = 0.
-1/2, 0
Suppose 7 = t + 3. Let o be t/(10*2/4). Determine q, given that -o*q + 0 + 2/5*q**2 = 0.
0, 2
Let k(l) = -5*l**2 - l - 2. Let i(p) = -p**2 + p. Let n be (4 + 0)*(-6)/(-8). Let j(m) = n*i(m) - k(m). Factor j(d).
2*(d + 1)**2
Let i be ((100/15)/(-5))/(2/(-3)). Solve 2*r - 2 - 1/2*r**i = 0.
2
Let c(h) = -h + 5. Let n = -1 - -4. Let t be c(n). Factor -1/5*l + 0 - 3/5*l**3 - 4/5*l**t.
-l*(l + 1)*(3*l + 1)/5
Let r(k) be the first derivative of 3*k**5/80 - 5*k**4/24 + k**3/6 + k**2 - 4*k + 5. Let f(j) be the first derivative of r(j). Suppose f(t) = 0. Calculate t.
-2/3, 2
Let l(o) be the second derivative of o**8/11760 - o**6/1260 + o**4/168 - 4*o**3/3 - 6*o. Let r(g) be the second derivative of l(g). Find k, given that r(k) = 0.
-1, 1
Suppose -6*i - 5 + 17 = 0. Suppose 15 = 5*b, -2*l + 2*b - 4 = 2. Determine d so that -2/9*d**4 + l - 2/9*d**3 + 2/9*d + 2/9*d**i = 0.
-1, 0, 1
Let s(l) = -7*l**5 - 12*l**4 + 11*l**3 + 8*l**2 + 2*l. Let o(x) = x**5 - x**2 - x. Let c(n) = -2*o(n) - s(n). Suppose c(a) = 0. Calculate a.
-3, -2/5, 0, 1
Let a(m) = -m**2 + 5*m - 2. Let x be a(4). Factor 4*h**4 + h**5 + h**5 + 2*h**5 - x*h**4.
2*h**4*(2*h + 1)
Let f(m) = m**2 + 6*m + 2. Let g be f(-6). Find v, given that 3*v + v**3 - 2*v - 2*v**g + 4*v**2 = 0.
-1, 0
Let i(u) be the third derivative of u**9/75600 + u**8/16800 + u**7/12600 - u**4/12 - 2*u**2. Let b(n) be the second derivative of i(n). Factor b(y).
y**2*(y + 1)**2/5
Let p = 17 + -26. Let r = p + 28/3. Let 0*d + 1/3*d**3 + 0 - 2/3*d**5 + r*d**4 + 0*d**2 = 0. What is d?
-1/2, 0, 1
Let z(u) = -u**5 - u**4 + 11*u**3 + 5*u**2 - 7*u - 4. Let p(t) = -4*t**5 - 4*t**4 + 56*t**3 + 24*t**2 - 36*t - 20. Let o(y) = 3*p(y) - 16*z(y). Factor o(c).
4*(c - 1)**2*(c + 1)**3
Determine u, given that 3/4*u**4 - 7*u**2 + 3/2*u**3 + 0 + 6*u - 1/4*u**5 = 0.
-3, 0, 2
Let i(n) = n - 6. Let o(s) = -s + 5. Let h(r) = -5*i(r) - 6*o(r). Let p(d) = -3*d**2 - 12*d - 27. Let q(k) = -6*h(k) + p(k). Factor q(w).
-3*(w + 3)**2
Let r(w) be the first derivative of -2 + 1/30*w**5 - 2/9*w**4 + w + 5/9*w**3 - 2/3*w**2. Let v(j) be the first derivative of r(j). Factor v(i).
2*(i - 2)*(i - 1)**2/3
Factor -1/3*u - 1/6*u**2 + 1/2.
-(u - 1)*(u + 3)/6
Let l(p) = 12*p**3 - 44*p**2 + 32*p + 7. Let m(w) = -3*w**3 + 11*w**2 - 8*w - 2. Let u(j) = -2*l(j) - 9*m(j). Factor u(c).
(c - 2)**2*(3*c + 1)
Let c(p) be the second derivative of 2*p**6/5 - 3*p**5/10 - 15*p**4/16 + p**3 - 3*p**2/8 - 26*p. Find m such that c(m) = 0.
-1, 1/4, 1
Let m = -7/75 - -121/225. Solve 0 - 2/9*s**2 + m*s - 2/9*s**3 = 0.
-2, 0, 1
Solve 1/5*r**5 + 0*r - 2/5*r**4 + 0 + 0*r**2 + 1/5*r**3 = 0 for r.
0, 1
Suppose 4*g = 19 - 3. Suppose 0 + r**2 - 3*r + g*r + r + 1 = 0. Calculate r.
-1
Let s(o) be the third derivative of -o**7/735 + o**6/420 + o**5/70 - o**4/84 - 2*o**3/21 - 9*o**2. Suppose s(d) = 0. Calculate d.
-1, 1, 2
Let p(t) be the third derivative of -t**8/24192 - t**7/4320 - t**6/2160 + t**5/30 + 5*t**2. Let q(y) be the third derivative of p(y). Factor q(c).
-(c + 1)*(5*c + 2)/6
Let z(l) = l**3 + 7*l**2 + 7*l + 8. Let w be z(-6). Solve 0*f**3 + 2*f**2 + 0*f**2 + 0*f**2 + w*f**3 = 0.
-1, 0
Let g be 6 + (-114)/10 + 6. Let 0*o - g*o**2 + 3/5 = 0. Calculate o.
-1, 1
Let p(q) be the third derivative of -1/3*q**3 + 5*q**2 - 1/6*q**4 + 0*q + 0 - 1/30*q**5. Factor p(m).
-2*(m + 1)**2
Factor 0*g**3 - g**3 + 46*g - 20 + 10*g**3 + 5*g**3 + 80*g**2.
2*(g + 1)*(g + 5)*(7*g - 2)
Let x(w) be the first derivative of -5*w**6/3 + 14*w**5/5 - w**4 + 6. Factor x(c).
-2*c**3*(c - 1)*(5*c - 2)
Let v = 8 + -6. Suppose -4*h + 4*r = -16, 0 = v*h + 2*r - 4 - 0. Determine z, given that 0*z + 2/9*z**4 - 2/9*z**2 + 0 + 0*z**h = 0.
-1, 0, 1
Let l(a) = -a**3 + a**2 - 7*a - 3. Let u(x) = -3*x**2 + 0*x**3 + 13*x + 5 + 2*x**3 + 0 + 0*x**2. Let y(j) = -5*l(j) - 3*u(j). Factor y(b).
-b*(b - 2)**2
Let h(i) be the third derivative of -i**7/1260 - i**6/720 + i**5/120 + 5*i**4/144 + i**3/18 + 2*i**2. Suppose h(y) = 0. Calculate y.
-1, 2
Factor 12*m**2 + 16*m + 8*m**2 - 16*m**2 - 4*m.
4*m*(m + 3)
Suppose -6 = -2*v + 3*m, 0 = 2*v + m + 2 - 8. Suppose -v*a = a + n - 5, 0 = -2*a + 3*n - 1. Factor -4 - 2*y**2 - 2*y + 3*y**2 + a + 4.
(y - 1)**2
Let z(h) be the second derivative of 2*h + 1/18*h**3 + 1/60*h**5 + 0 + 1/2*h**2 + 1/360*h**6 + 1/24*h**4. Let l(q) be the first derivative of z(q). Factor l(p).
(p + 1)**3/3
Let d(h) be the first derivative of h**4/8 + h**3/8 - 3*h**2/8 - h - 1. Let m(c) be the first derivative of d(c). Factor m(b).
3*(b + 1)*(2*b - 1)/4
Solve -1/3*n**3 + 0 + n + 2/3*n**2 = 0 for n.
-1, 0, 3
Suppose 7 + 1 = -2*v. Let c = 4 + v. Factor 2/3*b**2 - 2/3 + c*b.
2*(b - 1)*(b + 1)/3
Let a be (-2 + (-2 - -4))/2. Let u(w) be the first derivative of a*w**2 + 0*w + 4 + 0*w**4 - 1/9*w**3 + 1/15*w**5. Let u(d) = 0. Calculate d.
-1, 0, 1
Let r(d) be the third derivative of -d**7/280 - d**6/32 - d**5/10 - d**4/8 - 11*d**2. Let r(g) = 0. What is g?
-2, -1, 0
Let r(j) be the third derivative of 0*j**4 + 0*j - j**2 + 0*j**6 + 0 + 1/15*j**5 - 1/105*j**7 - 1/3*j**3. Factor r(g).
-2*(g - 1)**2*(g + 1)**2
Let f(c) be the first derivative of 1 + 0*c**2 + 1/5*c**5 + 1/2*c**4 + 1/3*c**3 + 0*c. Solve f(a) = 0 for a.
-1, 0
Let k(p) be the first derivative of -3*p*