2*(r - 1)*(r + 1)*(r + 2)
Suppose -2*b - 16*b = -8*b. Let -2/5*u**3 - 4/5*u - 6/5*u**2 + b = 0. Calculate u.
-2, -1, 0
Let g(o) = 11*o - 22. Let v be g(2). Find x such that -3/2*x + v*x**3 + 3*x**4 - 3*x**2 + 0 + 3/2*x**5 = 0.
-1, 0, 1
Let s(x) be the first derivative of -2/7*x + 2/21*x**3 + 1/14*x**4 - 1 - 1/7*x**2. Suppose s(z) = 0. What is z?
-1, 1
Let g(j) be the third derivative of 7*j**6/24 - 5*j**5/12 - 5*j**4/12 - 16*j**2. Let g(x) = 0. Calculate x.
-2/7, 0, 1
Let s be 33/(-84)*110/(-225). Let c = s - -1/126. Factor -2/5 + 1/5*n**2 - c*n.
(n - 2)*(n + 1)/5
Let d(m) = -m**2 + m + 1. Let r(f) be the second derivative of f**4/2 + f**3/3 - f**2/2 - 4*f. Let q(s) = 3*d(s) + r(s). Factor q(z).
(z + 1)*(3*z + 2)
Factor 6*j**3 - 2*j**5 + 3*j**2 + j**2 + 0*j**5.
-2*j**2*(j - 2)*(j + 1)**2
Let o(x) be the third derivative of -x**7/840 + x**5/120 - x**3/24 + 13*x**2. Factor o(k).
-(k - 1)**2*(k + 1)**2/4
Let l(s) be the second derivative of -5*s**4/24 - 5*s**3/4 - 5*s. Factor l(a).
-5*a*(a + 3)/2
Let i = -6/233 - -257/932. Factor 3/4*x + 3/4*x**2 + 1/4 + i*x**3.
(x + 1)**3/4
Let i(z) be the first derivative of -3*z**5 + 10 + 3*z**2 + 0*z - 7*z**3 + 27/4*z**4 + 1/2*z**6. Find u such that i(u) = 0.
0, 1, 2
Let i(l) be the third derivative of 0 + 0*l**3 - 2/105*l**5 - 17/210*l**6 - 4/147*l**8 + 0*l - l**2 + 0*l**4 - 16/147*l**7. Factor i(b).
-4*b**2*(b + 2)*(4*b + 1)**2/7
Let c(s) = 3*s**4 + 11*s**3 - 11*s. Let m(y) = -10*y**4 - 34*y**3 + 32*y. Let z(u) = -8*c(u) - 3*m(u). Factor z(n).
2*n*(n + 1)*(n + 2)*(3*n - 2)
Find p such that -6*p**2 + 36*p**3 + 3*p**4 - 9*p**3 - 14*p**3 - 10*p**3 = 0.
-2, 0, 1
Let w(y) = -y**3 - 4*y**2 - 4*y + 6*y**2 + 2*y**2 + 3. Let d be w(2). Let -14/3*k**d + 0 - 4/3*k**2 + 20*k**5 + 0*k + 14/3*k**4 = 0. What is k?
-2/5, -1/3, 0, 1/2
Let q(m) be the first derivative of m**4/4 - m**3/3 + 10. Solve q(p) = 0 for p.
0, 1
Let d(s) = -s**2 + 3*s + 5. Let f be d(5). Let k = f + 7. Solve -2*n**k - n**2 + 0*n**2 + 3*n + n**3 - 1 = 0.
1
Factor 3*l**2 - 2*l + 3*l**4 - 6*l**3 + 2*l + 0*l.
3*l**2*(l - 1)**2
Let h(k) = 7*k**3 + 2*k**2 - 5*k + 1. Let p(j) = 8*j**3 + 2*j**2 - 4*j. Let g(w) = 6*h(w) - 5*p(w). Factor g(y).
2*(y - 1)**2*(y + 3)
Let k(p) be the third derivative of p**5/240 - p**4/32 + p**3/12 - 9*p**2. Factor k(w).
(w - 2)*(w - 1)/4
Let u(s) = -s**2 + s + 2. Let d(m) = 3*m**2 - 2*m - 5. Let o be 48/3 - (-2 + 1). Suppose 5*j = -3 - o. Let i(g) = j*d(g) - 10*u(g). Factor i(x).
-2*x*(x + 1)
Let i be 22/40 - (-19)/(-38). Let u(p) be the first derivative of -2 + 1/8*p**2 - i*p**5 + 0*p - 1/4*p**3 + 3/16*p**4. Factor u(k).
-k*(k - 1)**3/4
Suppose -3*x + 30 = 2*x. Factor 5*v + 15*v**3 - x*v**2 - 10*v + 0*v - 10*v + 6.
3*(v - 1)*(v + 1)*(5*v - 2)
Factor 16/11*z**4 - 18/11*z + 48/11*z**2 + 0 - 2/11*z**5 - 4*z**3.
-2*z*(z - 3)**2*(z - 1)**2/11
Let c(g) be the first derivative of -g**5/120 - g**4/48 - 3*g**2/2 + 2. Let k(a) be the second derivative of c(a). Factor k(l).
-l*(l + 1)/2
Let a = -2 - -6. Let k(d) be the third derivative of 1/135*d**5 + 0*d - 1/540*d**6 + 0 + 0*d**3 - 1/108*d**a + 2*d**2. Factor k(m).
-2*m*(m - 1)**2/9
Let i(c) be the first derivative of c**4/36 + c**3/6 + c**2/3 + 4*c - 3. Let q(m) be the first derivative of i(m). Suppose q(o) = 0. What is o?
-2, -1
Let h = -12 + 18. Let l = 9 - h. Factor 0*g**2 - g**2 + g + 4 - 3*g**3 - l + 2*g**3.
-(g - 1)*(g + 1)**2
Let b(k) be the first derivative of -k**6/120 - k**5/20 + 3*k**4/8 - 2*k**3 + 1. Let r(a) be the third derivative of b(a). Factor r(z).
-3*(z - 1)*(z + 3)
Let x(h) be the third derivative of h**8/10080 + h**5/15 + 5*h**2. Let p(n) be the third derivative of x(n). Solve p(q) = 0.
0
Let l(a) = -a**2 + 5*a + 8. Let r be l(6). Determine z so that -z**r - z**2 + 4 - 2 = 0.
-1, 1
Let l(z) be the third derivative of -z**8/112 - z**7/70 + z**6/40 + z**5/20 + z**2. Factor l(j).
-3*j**2*(j - 1)*(j + 1)**2
Let o(j) = 3*j**4 - 2*j**3 + 4*j - 1. Let u(q) = -25*q**4 + 16*q**3 - 33*q + 8. Let c(x) = 51*o(x) + 6*u(x). Solve c(i) = 0.
-1, 1
Let z(k) = -6*k**4 - 18*k**3 + 35*k**2 - 11*k. Let s(b) = -3*b**4 - 9*b**3 + 18*b**2 - 6*b. Let g(r) = 11*s(r) - 6*z(r). Factor g(w).
3*w**2*(w - 1)*(w + 4)
Let a(o) = 2*o**2 + 2*o + 14. Suppose 2*y = -16 + 4. Let l(r) = -6*r**2 - 7*r - 41. Let j(x) = y*l(x) - 17*a(x). Factor j(d).
2*(d + 2)**2
Determine a so that 1/2*a**2 - 2 + 0*a = 0.
-2, 2
Let s(f) = 4*f**2 + 10. Let w(m) = 5*m**2 - 4*m + 3. Let d(j) = 6*j**2 - 5*j + 3. Let y(h) = 4*d(h) - 5*w(h). Let x(c) = 2*s(c) + 7*y(c). Factor x(t).
(t - 1)*(t + 1)
Let w(a) = 6*a - 5. Let x(t) = 5*t - 5. Let z(f) = -4*w(f) + 5*x(f). Let k be z(8). Factor -7/6*c**4 - 2/3 + 19/6*c**k - 25/6*c**2 + 8/3*c + 1/6*c**5.
(c - 2)**2*(c - 1)**3/6
Let y be (4 - 1)/(6/6). Factor -y*l + 1 - 5*l + 1 + 0*l + 8*l**2.
2*(2*l - 1)**2
Let a(z) be the third derivative of z**8/448 - 11*z**7/560 + 3*z**6/64 + z**5/32 - 17*z**4/64 + 3*z**3/8 - 6*z**2. What is j in a(j) = 0?
-1, 1/2, 1, 2, 3
Let y(s) be the third derivative of 5*s**8/84 - 8*s**7/35 + 2*s**6/15 + 2*s**5/3 - 3*s**4/2 + 4*s**3/3 + 5*s**2. Let y(p) = 0. Calculate p.
-1, 2/5, 1
Let z(l) = -8*l**3 - 3*l**2 - 7*l + 3. Let u(d) = 26*d**3 + 8*d**2 + 22*d - 10. Let c(h) = -3*u(h) - 10*z(h). Factor c(t).
2*t*(t + 1)*(t + 2)
Let v(q) = -6*q**3 - 4*q**2 + q. Let c(h) = h**3 - h. Let t(k) = 5*c(k) + v(k). Factor t(p).
-p*(p + 2)**2
Let i(f) be the third derivative of -f**7/945 + f**6/540 + f**5/90 - 5*f**4/108 + 2*f**3/27 - 7*f**2. Factor i(j).
-2*(j - 1)**3*(j + 2)/9
What is f in 0 - 2/9*f + 2/9*f**2 = 0?
0, 1
Let -54*r**2 + 104*r**2 - 49*r**2 + 4*r + 3 = 0. Calculate r.
-3, -1
Let d(q) be the first derivative of -3*q**4/28 + 12*q**3/7 - 9*q**2/2 - 42*q - 4. Factor d(m).
-3*(m - 7)**2*(m + 2)/7
Let a(p) = -p**4 + 10*p**3 - 33*p**2 + 51*p - 24. Let x(h) = -h**2 + h - 1. Let o(f) = -a(f) - 3*x(f). Factor o(u).
(u - 3)**3*(u - 1)
Let i(a) be the first derivative of 0*a**4 - 1/240*a**5 + 1/720*a**6 - 1/3*a**3 + 0*a**2 - 1 + 0*a. Let q(b) be the third derivative of i(b). Factor q(w).
w*(w - 1)/2
Suppose 2*a = -2*a. Let f(o) be the first derivative of -1/6*o**2 + 1/3*o**3 + a*o - 3. Find k, given that f(k) = 0.
0, 1/3
Factor 4/3*n**2 - 2/3*n**5 - 2/3 + 4/3*n**3 - 2/3*n**4 - 2/3*n.
-2*(n - 1)**2*(n + 1)**3/3
Let k be 1*(-6)/(18/(-15)). Let l(r) be the second derivative of 0 - r + 0*r**2 + 1/60*r**k + 1/18*r**4 + 1/18*r**3. Factor l(g).
g*(g + 1)**2/3
Suppose -15*l - 6*l + 42 = 0. Solve -18/7*g**3 - 12/7*g**l - 8/7*g**4 + 0 - 2/7*g = 0 for g.
-1, -1/4, 0
Factor 2/3*b**2 - 2/3*b + 0.
2*b*(b - 1)/3
Let l(t) be the third derivative of -t**6/180 + t**5/20 - t**4/6 + t**3/6 - 4*t**2. Let w(p) be the first derivative of l(p). Factor w(y).
-2*(y - 2)*(y - 1)
Suppose -1 = u + 2*a + 3*a, 4*a = 0. Let t be u/2 + (-7)/(-6). Factor -t + m - 1/3*m**2.
-(m - 2)*(m - 1)/3
Let p = 102 - 99. Let x(l) be the first derivative of -4/5*l + 0*l**2 - 1 - 1/20*l**4 + 1/5*l**p. Factor x(s).
-(s - 2)**2*(s + 1)/5
Let x(o) = 4*o**4 - 7*o**3 - 4*o**2. Let l = -3 + 5. Let p(s) = s**4 - 2*s**3 - s**2. Let g(k) = l*x(k) - 7*p(k). Solve g(m) = 0.
-1, 0, 1
Let c(t) be the first derivative of -t**6/9 + 2*t**5/15 + t**4/3 - 4*t**3/9 - t**2/3 + 2*t/3 - 7. Suppose c(m) = 0. Calculate m.
-1, 1
Let b = 1 + 3. Find d such that -1/4*d**b + 1/2*d**2 - 1/4*d**5 - 1/4*d + 1/2*d**3 - 1/4 = 0.
-1, 1
Let s(d) be the third derivative of d**5/240 + d**4/48 + d**3/24 - 8*d**2. Factor s(u).
(u + 1)**2/4
Let i = 5444/9 + -604. Let j(f) be the first derivative of i*f**3 + 1 - 4/9*f**2 + 2/15*f**5 - 11/18*f**4 + 0*f. Find w such that j(w) = 0.
0, 2/3, 1, 2
Suppose 0*w + 4*v + 18 = -w, w + 5*v + 23 = 0. Solve -p**2 - w*p**2 + 0*p**3 + 3*p**3 + 0*p**3 = 0.
0, 1
Let u(j) = -j**2 - 5*j - 4. Suppose -4 = -5*y - 19. Let c be u(y). Find s, given that 3*s + s**2 + s**2 + 0*s**c + s**2 = 0.
-1, 0
Let i(f) be the first derivative of -f**4/6 - 2*f**3/3 - f**2 - 6*f - 3. Let n(a) be the first derivative of i(a). Find s such that n(s) = 0.
-1
Factor -1/2*u**2 - 5/2*u - 2.
-(u + 1)*(u + 4)/2
Let l(o) be the second derivative of -o**4/12 + 2*o**3/3 - 2*o**2 + 3*o. Factor l(k).
-(k - 2)**2
Let n = -49 - -51. What is t in -6/7*t**5 - 24/7*t**3 - 2/7*t + 0 + 20/7*t**4 + 12/7*t**n = 0?
0, 1/3, 1
Let h = -91 + 158. Determine j, given that -65*