)**3*(m + 2)/11
Let n(y) be the first derivative of y**5/5 - y**4 - y**3/3 + 2*y**2 - 33. Factor n(l).
l*(l - 4)*(l - 1)*(l + 1)
Let v(o) = -o**2 - 12 + 12. Let w(d) = 2*d**2 - 4*d. Let m(i) = -4*v(i) - w(i). Factor m(k).
2*k*(k + 2)
Suppose a = 3*c + 12, 3*a + 0 = -c - 4. Let l(x) = x**3 - x**2. Let y be l(a). Solve 2 + 22*j**4 + 2*j - 28*j**3 - 24*j**2 + 24*j**5 + y*j + 2*j = 0 for j.
-1, -1/4, 1/3, 1
Let h be 20 - 15 - (-48)/(-10). Let -h*o**4 + 0 - 3/5*o**2 - 3/5*o**3 - 1/5*o = 0. What is o?
-1, 0
Suppose 3*c = -3*x + 12, 0 = -c - c + x + 2. Let p(t) be the first derivative of 3 - 1/2*t**c + 1/2*t**3 + 0*t. Solve p(v) = 0 for v.
0, 2/3
Determine p so that 502*p**2 - 259*p**2 - 251*p**2 - 4*p**3 = 0.
-2, 0
Let f(x) = 4*x**2 - x - 1. Let q be f(-1). Suppose -2*b + 1 + 17 = 2*j, 2*j = -b + 17. Factor -s**q - 5 - 12*s**2 - 1 - s**4 + 4 - 8*s**3 - j*s.
-2*(s + 1)**4
Find x, given that 5/2 - 45/4*x + 5*x**2 = 0.
1/4, 2
Suppose 4*p - 10 = n, -3*p + 8 = 2*p + n. Factor -l**p - 70 + 2*l - l**3 + 70.
-l*(l - 1)*(l + 2)
Let i(z) be the second derivative of -z**4/12 + z**3/6 - 13*z. Suppose i(a) = 0. What is a?
0, 1
Suppose -3*j = -0*j. Let b(i) be the first derivative of 1/6*i**4 + 2 + 1/15*i**5 - 1/3*i - 1/3*i**2 + j*i**3. Factor b(u).
(u - 1)*(u + 1)**3/3
Let y(v) be the first derivative of v - 1/18*v**4 + 0*v**5 + 0*v**3 - 3 + 1/45*v**6 + 0*v**2. Let h(x) be the first derivative of y(x). Factor h(b).
2*b**2*(b - 1)*(b + 1)/3
Let r(n) be the first derivative of n**5/30 - n**4/24 + 3*n**2/2 - 5. Let d(o) be the second derivative of r(o). Let d(k) = 0. Calculate k.
0, 1/2
Determine w, given that -3*w**2 + 65*w**3 + 20*w + 5*w**5 + 615*w**4 - 57*w**2 - 645*w**4 = 0.
0, 1, 2
Let u(w) = -5*w + 4*w + 5*w - w**2 + 0*w - 2. Let n be u(2). Factor 0 - 1/4*p - 1/4*p**n.
-p*(p + 1)/4
Let d = 1 - -2. Factor d*w - 5*w + 0*w - w**2 - 1.
-(w + 1)**2
Let z(g) = -2*g + 14. Let j be z(7). Let n(p) be the second derivative of -1/10*p**5 - p + 1/3*p**4 + 0 - 1/3*p**3 + j*p**2. Factor n(h).
-2*h*(h - 1)**2
Let 0*m + 3/4*m**2 - 3 = 0. Calculate m.
-2, 2
Let o be 0/23*(-2)/(-2). Suppose j - 2*k - 10 = o, 19 = j - 0*j - 5*k. Suppose 0 + 3/7*p**5 - 6/7*p + 3/7*p**j - 9/7*p**3 - 15/7*p**2 = 0. Calculate p.
-1, 0, 2
Let t(g) be the first derivative of g**5/30 + g**4/6 + 5*g**3/18 + g**2/6 + 5. Factor t(x).
x*(x + 1)**2*(x + 2)/6
Let k(t) be the first derivative of -t**6/10 - 3*t**5/40 + t**4/8 + 2*t + 4. Let g(r) be the first derivative of k(r). Suppose g(h) = 0. Calculate h.
-1, 0, 1/2
Let b(f) be the second derivative of f**9/10584 - f**7/2940 + f**3/6 - 2*f. Let s(h) be the second derivative of b(h). Factor s(g).
2*g**3*(g - 1)*(g + 1)/7
Let o = 16 - 31/2. Let x(s) be the first derivative of 0*s**2 - o*s**4 - 2 + 8*s - 2*s**3. Find m, given that x(m) = 0.
-2, 1
Let b(y) be the first derivative of y**2 - 4*y + 1/6*y**4 - 2/3*y**3 + 3. Let v(u) be the first derivative of b(u). Suppose v(d) = 0. Calculate d.
1
Let a be 0 - (-4 - (-1 - 0)). Let w(u) be the first derivative of 1 - 2/3*u**a + u**2 + 0*u + 2/5*u**5 - 1/2*u**4. What is s in w(s) = 0?
-1, 0, 1
Let g = 49319/7 + -7027. Let v = -128/7 + g. Suppose 0*y**4 + 0*y**2 + 2/7*y**3 + 0*y + 0 - v*y**5 = 0. What is y?
-1, 0, 1
Suppose -2*k - 4*q + 2 = 0, 2*k - 3*q - 24 = -15. Find p, given that -16/7*p**2 + 4/7 - 6/7*p - 6/7*p**k = 0.
-2, -1, 1/3
Let h(j) be the first derivative of 1/6*j**3 + 0*j + 1/2*j**2 - 5. Factor h(a).
a*(a + 2)/2
Let x(z) be the second derivative of z**5/25 - 3*z**4/5 + 16*z**3/5 - 32*z**2/5 - 14*z. Factor x(q).
4*(q - 4)**2*(q - 1)/5
Let c(r) = 2*r**2 - r - 3. Let p be c(7). Factor -33*x**5 + 119*x**4 + 16*x + 4 - 23*x**2 - p*x**3 - 16*x**5 + 21*x**3.
-(x - 1)**3*(7*x + 2)**2
Let o = -4 + 7. Factor o*r**4 - 3 - 3*r + 4*r**3 + 0*r**3 - r**3 - 9*r**2 + 9.
3*(r - 1)**2*(r + 1)*(r + 2)
Determine l, given that -8*l**3 - 2*l**3 + 2*l**4 - 4*l**4 + 6*l**3 = 0.
-2, 0
Suppose 0 = 3*y - 8*y + 20. Factor 2*t**4 + 7*t**3 - 5*t**3 + y*t**2 + 2*t**2 + 2*t + 4*t**3.
2*t*(t + 1)**3
Let q(h) be the first derivative of -1/5*h**5 + 0*h**3 - 6 + 1/18*h**6 + 1/6*h**4 + 0*h + 0*h**2. Solve q(z) = 0 for z.
0, 1, 2
Let u = 3 + 3. Let h = u + -4. Factor i**4 + i**3 + 2*i**3 - h*i + 3*i**2 + 3*i.
i*(i + 1)**3
Let n(f) = -7*f**3 + 11*f**2 - 13*f - 23. Let s(q) = 8*q**3 - 10*q**2 + 14*q + 22. Let u(b) = 5*n(b) + 4*s(b). Factor u(x).
-3*(x - 3)**2*(x + 1)
Suppose -r - 339 + 342 = 0. Let k be (-3 - -2)*(-3)/5. Determine o, given that 3*o**r + k*o**4 + 24/5*o**2 + 0 + 12/5*o = 0.
-2, -1, 0
Let b be -1 - (1 + -3 + -4). Factor -2*h**2 + h**4 + 2*h**4 - h**3 + h**2 + h**b - 2*h**4.
h**2*(h - 1)*(h + 1)**2
Let j = 334/5 + -67. Let b = 9/20 + j. Factor -b*k**2 - 1 - k.
-(k + 2)**2/4
Let j(y) be the third derivative of -y**6/320 + y**5/40 - 5*y**4/64 + y**3/8 + 21*y**2. Suppose j(c) = 0. Calculate c.
1, 2
Let j be 1*(-1 + 0)*-6. Let o = j + -4. Solve 5*i + i**2 - 5*i + o*i**3 - 8*i**4 = 0 for i.
-1/4, 0, 1/2
Suppose -3*j + 6*f + 10 = 2*f, -5*f = 2*j + 1. What is w in 1/7 + 1/7*w**j - 2/7*w = 0?
1
Let t = -12 + 12. Let f(d) be the third derivative of -1/210*d**5 + 0*d - 2/21*d**3 + 3*d**2 - 1/28*d**4 + t. Determine c so that f(c) = 0.
-2, -1
Let j(i) be the third derivative of -i**7/315 + i**6/180 + i**5/90 - i**4/36 - 6*i**2. Find f, given that j(f) = 0.
-1, 0, 1
Let n(q) be the second derivative of 1/30*q**4 + q - 1/50*q**5 + 0 - 1/5*q**2 + 1/15*q**3. Factor n(p).
-2*(p - 1)**2*(p + 1)/5
Find g, given that 7/4*g - 5/4*g**2 - 3/4 + 1/4*g**3 = 0.
1, 3
Let 3*k**4 + 56*k + 16*k + 27 + 24*k**3 + 68*k**2 - 2*k**2 = 0. Calculate k.
-3, -1
Solve 0 - 3/2*b**4 + 0*b - 6*b**2 - 6*b**3 = 0 for b.
-2, 0
Let x(h) = -13 - 7 + h**2 - 2*h**3 + h**4 - 5*h + 15. Let o(r) = -r**4 + 2*r**3 - r**2 + 4*r + 4. Let g(j) = -5*o(j) - 4*x(j). Determine b so that g(b) = 0.
0, 1
Let i(n) be the second derivative of 0 + 0*n**3 - 2*n - 5/84*n**7 + 0*n**4 + 1/30*n**6 + 0*n**2 + 0*n**5. Solve i(o) = 0 for o.
0, 2/5
Factor -w + 3*w**2 - 2*w + 6*w**3 - 10*w**3 - 3 + 7*w**3.
3*(w - 1)*(w + 1)**2
Factor 0 + 0*l + l**4 + 0*l**3 - 1/3*l**5 + 0*l**2.
-l**4*(l - 3)/3
Suppose -3*x + 2*x + 4 = 0. Let l(d) = -2*d**3 - 4*d**2 - 4. Let t(m) = m**2 + 1. Let r(n) = x*t(n) + l(n). Determine y so that r(y) = 0.
0
Let g(w) = -2*w**4 - 4*w**3 - 2*w**2 + 5. Let y = 12 + -4. Let n = 5 - y. Let b(j) = -j**4 - 2*j**3 - j**2 + 3. Let t(q) = n*g(q) + 5*b(q). Factor t(c).
c**2*(c + 1)**2
Let h be (3/1)/((-198)/(-4)). Let p = h + 20/33. Let -5/3*q + 5/3*q**3 - p + 3*q**2 - 7/3*q**4 = 0. Calculate q.
-1, -2/7, 1
Let y(k) = k**2 - 11*k - 8. Let c be y(12). Find d, given that -2*d - d**2 - 4*d + 4*d + c*d = 0.
0, 2
Let s(d) be the third derivative of 0*d**7 + 1/8*d**4 + 0*d**3 + 0 - 1/20*d**6 + 0*d + 0*d**5 + 1/112*d**8 + d**2. Let s(f) = 0. Calculate f.
-1, 0, 1
Let 1/4*h**2 + 7/4 + 2*h = 0. Calculate h.
-7, -1
Factor -1 + 8*y - 63/4*y**2.
-(7*y - 2)*(9*y - 2)/4
Suppose -u = p - 2*p - 2, -4*p - 32 = 4*u. Let o = u - -5. Factor 5 + 2*i**o - 2 - 5 + 0*i**2.
2*(i - 1)*(i + 1)
Let d(q) be the first derivative of -14*q**6/3 + 64*q**5/5 - 4*q**4 - 56*q**3/3 + 22*q**2 - 8*q - 4. Find i such that d(i) = 0.
-1, 2/7, 1
Let g(z) be the third derivative of z**5/180 - z**4/9 + 8*z**3/9 - 7*z**2. Solve g(w) = 0 for w.
4
Suppose -r + 7 = -i, 2*i - r - 3*r + 16 = 0. Let f = i + 8. Factor f*u**2 - 3*u + 0*u + 5*u.
2*u*(u + 1)
Let j(g) be the first derivative of 7*g**6/30 - 2*g**5/25 - 7*g**4/20 + 2*g**3/15 - 3. Find p, given that j(p) = 0.
-1, 0, 2/7, 1
Let m(p) = -2*p**3 + 34*p**2 - 48*p + 8. Let h(d) = -d**3 + 11*d**2 - 16*d + 3. Let x(c) = 8*h(c) - 3*m(c). Let x(q) = 0. Calculate q.
-8, 0, 1
Let z(d) be the third derivative of -d**5/24 - 25*d**4/48 - 5*d**3/2 + 18*d**2. Solve z(y) = 0.
-3, -2
Let l = -391/378 - -15/14. Let s(m) be the second derivative of 1/90*m**5 + 1/135*m**6 + 0 - l*m**3 + 0*m**2 - 1/54*m**4 + 2*m. Factor s(r).
2*r*(r - 1)*(r + 1)**2/9
Let 9/5 + 3*q - 8/5*q**2 - 16/5*q**3 = 0. Calculate q.
-3/4, 1
Let w(d) = 2*d**2 - 12*d + 18. Let t be w(2). Factor 0 + 1/7*y**t + 2/7*y.
y*(y + 2)/7
Let l(n) be the second derivative of -n**5/25 + n**4/15 + 10*n. Factor l(c).
-4*c**2*(c - 1)/5
Let s be (-4)/(-16) + 2/(-8). Suppose 7*p - 12*p = s. Factor p + 0*q + 1/4*q**2.
q**2/4
Determine c, given that 53