7/28 - 3*w**5/20 + w**3/4 - 2*w - 2. Let p(s) be the first derivative of b(s). Factor p(n).
3*n*(n - 1)**2*(n + 1)**2/2
Let r(i) be the third derivative of i**5/90 - i**4/18 + i**3/9 + 2*i**2. Solve r(y) = 0.
1
What is r in -1 + 3/4*r - 1/8*r**2 = 0?
2, 4
Let -1/5*a**2 + a - 4/5 = 0. Calculate a.
1, 4
Let l(v) = v**2 - 15*v. Let a(o) = -o**2 + 31*o. Let d(r) = -3*a(r) - 7*l(r). Factor d(u).
-4*u*(u - 3)
Factor 3*t - t**2 - t**2 + 2 - 3*t**3 - t**2 + 1.
-3*(t - 1)*(t + 1)**2
Suppose -f - 6 = -2*f. Suppose -2*t - t = -f. Factor -3*p**3 + 8*p + 12*p**t + 0*p**3 + 11*p**3 + 2*p**4 + 2.
2*(p + 1)**4
Let t(j) = 4*j**3 + 23*j**2 - 8*j - 12. Let k be t(-6). Factor -2/9*g + 2/9*g**2 + k.
2*g*(g - 1)/9
Let c(p) be the third derivative of 0*p + 0 - 1/8*p**4 + 3*p**2 + 1/20*p**5 - 1/120*p**6 - 2/3*p**3. Let m(z) be the first derivative of c(z). Factor m(l).
-3*(l - 1)**2
Let d be (-9)/(54/(-30)) - 31/7. Determine k, given that 10/7*k**3 + d*k - 18/7*k**4 + 18/7*k**2 - 2*k**5 + 0 = 0.
-1, -2/7, 0, 1
Let 0 + 18/7*v**4 - 2*v**5 + 0*v - 4/7*v**3 + 0*v**2 = 0. Calculate v.
0, 2/7, 1
Let c(s) = -s**3 + 5*s**2 - 8*s + 6. Let f be c(3). Factor 2/3*g - 2/3*g**2 + f.
-2*g*(g - 1)/3
Let f be 84/588 + -3*(-2)/56. Factor 1/4 + 0*r - f*r**2.
-(r - 1)*(r + 1)/4
Let t(j) be the second derivative of -j**5/30 - 5*j**4/18 - 76*j. Determine x, given that t(x) = 0.
-5, 0
Suppose 2*d + g - 1 = 0, -2*d + g + 0 = 1. Suppose h**5 - 1/4*h**3 + 3/4*h**4 + d*h + 0*h**2 + 0 = 0. What is h?
-1, 0, 1/4
Let d = 9 + -5. Solve -2*h**5 - 2*h**d + 4*h**4 + 2*h**4 = 0 for h.
0, 2
Suppose 2*w - 1 = f, -5*w - 4*f + 10 = -5*f. Let 0*l + 4/3*l**5 + 0*l**w + 0*l**4 + 0*l**2 + 0 = 0. Calculate l.
0
Factor -7*u**2 - 75*u - 80 - 14*u**2 + 26*u**2.
5*(u - 16)*(u + 1)
Let u be (80/6)/4 - 24/12. Let a(i) be the first derivative of 3 - u*i**3 + 4*i + 3*i**2. Factor a(z).
-2*(z - 2)*(2*z + 1)
Let l = 3 - 1. Factor 2 - 2/3*h**l + 4/3*h.
-2*(h - 3)*(h + 1)/3
What is i in -1 + 3 - 14*i**2 - 5*i + 9*i + 8*i**3 = 0?
-1/4, 1
Let u = -271/4 - -68. Let k(l) be the first derivative of 1/3*l**3 + 0*l**2 + 1 + u*l**4 + 0*l. Find p such that k(p) = 0.
-1, 0
Let u(l) be the third derivative of -l**6/600 + 2*l**5/75 + l**4/120 - 4*l**3/15 - 9*l**2. Determine s so that u(s) = 0.
-1, 1, 8
Let f = 467/28 + -115/7. Factor 5/4*m - f*m**2 - 1/2 - 5/4*m**3 + 3/4*m**4.
(m - 1)**2*(m + 1)*(3*m - 2)/4
Let i(w) = 7*w**3 - 17*w**2 + 29*w - 19. Let y(s) = -20*s**3 + 52*s**2 - 88*s + 56. Let d(c) = 11*i(c) + 4*y(c). Factor d(t).
-3*(t - 5)*(t - 1)**2
Let g be (24/9 - 2)*3. Let y = 4 - g. What is r in -y*r**3 - 4*r**2 + r**3 + 3*r**2 = 0?
-1, 0
Factor 0 - 1/4*u**4 + 0*u + 0*u**2 + 1/4*u**3.
-u**3*(u - 1)/4
Let v = -558/5 + 112. Factor 0 + 0*s**2 + 2/5*s - v*s**3.
-2*s*(s - 1)*(s + 1)/5
Let s(w) be the first derivative of -2/3*w**4 + 7/9*w**6 - 28/9*w**3 + 8/5*w**5 - w**2 + 5 + 4/3*w. Suppose s(u) = 0. Calculate u.
-1, 2/7, 1
Let o(k) = 4*k + 14. Let s be o(-3). Find h such that 0 + 5/4*h**3 + 1/4*h**s - 1/4*h + 3/4*h**4 = 0.
-1, 0, 1/3
Let x(v) be the second derivative of v**4/12 + v**3/2 + v**2 - 3*v. Factor x(u).
(u + 1)*(u + 2)
Let x be -1 - (-5 - (-32)/10). Find b such that x*b**4 + 7/5*b**3 - 1/5*b + 2/5*b**2 + 0 = 0.
-1, 0, 1/4
Let o(u) = u**3 - u**2 - 1. Let n(p) = 2*p**3 - p**2 - p - 1. Let y(w) = -n(w) + o(w). Let y(i) = 0. What is i?
-1, 0, 1
Let y(v) = 3*v**2 + 1. Let o be y(1). Let a be (0 - 0)/(o - 2). Solve 0*f - 2/7*f**2 + a = 0.
0
Let w be 45/(-10)*((-80)/(-84))/(-5). Factor 8/7*b**3 + 0 - w*b - 2/7*b**2.
2*b*(b - 1)*(4*b + 3)/7
What is c in -10 + 25 + 11*c - 3*c**2 + c = 0?
-1, 5
Factor -12 + l**4 + 28*l - 34/3*l**3 + 83/3*l**2.
(l - 6)**2*(l + 1)*(3*l - 1)/3
Let x(p) be the third derivative of 0*p**4 + 0 + 1/112*p**8 + 0*p**5 + 0*p - 7*p**2 - 1/70*p**7 - 1/20*p**6 + 0*p**3. Suppose x(d) = 0. What is d?
-1, 0, 2
Let t be ((-3)/6)/(3/(-6)). Let u(f) be the first derivative of -5/27*f**6 + 0*f + 2/9*f**3 - t + 7/18*f**4 - 2/15*f**5 - 2/9*f**2. Let u(b) = 0. What is b?
-1, 0, 2/5, 1
Factor 3 - 1/2*m**2 + 1/2*m.
-(m - 3)*(m + 2)/2
Suppose 2*b = 5*b - 5*o - 26, -2*o - 10 = -b. Find x, given that 0 - 3*x**b + 6/5*x = 0.
0, 2/5
Let x(s) be the third derivative of 0*s**4 + 0 + 1/70*s**7 + 0*s**3 + 1/20*s**6 + 0*s + 7*s**2 + 0*s**5 - 1/112*s**8. What is c in x(c) = 0?
-1, 0, 2
Suppose 4*r - 21 = -3*r. Factor l**2 + 1/2*l - l**r - 1/2*l**4 + 1/2*l**5 - 1/2.
(l - 1)**3*(l + 1)**2/2
Find x, given that 35*x**2 - 36*x**2 + 4*x - 6*x = 0.
-2, 0
Let u(w) = w**5 - w**4 - w**3 - w - 1. Let j(k) = 28*k**5 - 18*k**4 - 22*k**3 - 22*k - 22. Let g(h) = -2*j(h) + 44*u(h). What is n in g(n) = 0?
-2/3, 0
Let z be ((-3)/(-24))/((-3)/(-6)). Let c(r) be the third derivative of 3*r**2 + 0 + 0*r + z*r**4 - 1/12*r**5 - 1/6*r**3. Determine t so that c(t) = 0.
1/5, 1
Let y(q) be the third derivative of q**6/600 - 7*q**5/300 + q**4/15 + 8*q**3/15 - 19*q**2. Let y(v) = 0. Calculate v.
-1, 4
Let t(k) = -8*k**3 - 6*k**2 - 4*k. Let h(p) = 137 + p**3 - 137. Let j(s) = -6*h(s) - t(s). Factor j(x).
2*x*(x + 1)*(x + 2)
Suppose -3*v + 7 = -2. Let m be 42/(-36) - (-6)/4. Factor -d**2 - m*d**4 - d**v - 1/3*d + 0.
-d*(d + 1)**3/3
Let v(j) be the third derivative of -j**5/30 + j**4 - 12*j**3 - 15*j**2. Factor v(d).
-2*(d - 6)**2
Let f = -247 + 247. Factor -2/7*r + f - 2/7*r**2.
-2*r*(r + 1)/7
Factor -31 - 3*i - 38*i + 91 - 31*i + 27*i**2 - 3*i**3.
-3*(i - 5)*(i - 2)**2
What is m in -3*m**4 - 18*m**2 - 6*m - 6*m + 0*m - 12*m**3 - 3 = 0?
-1
Let g = 11 - 11. Factor -3*w - 2*w**2 + g*w**2 - w**2.
-3*w*(w + 1)
Let z(g) be the second derivative of g**4/18 + 2*g**3/9 - g**2 + 11*g. Find c such that z(c) = 0.
-3, 1
Let x(q) be the second derivative of -1/6*q**3 + 0*q**4 + 0*q**2 + 3*q + 0 + 1/20*q**5. Suppose x(t) = 0. Calculate t.
-1, 0, 1
Let x(f) = f**2 - f + 2. Let q be x(2). Suppose 1 = 3*l - 5. Factor 0*n**4 + n**2 - n + n**3 - l*n**4 + n**q.
-n*(n - 1)**2*(n + 1)
Let a(n) = -8*n**2 + n - 7. Let p(d) = -d**2 - 77*d + 77*d - 1. Let f(q) = -3*a(q) + 21*p(q). Factor f(x).
3*x*(x - 1)
Let j(y) be the third derivative of -1/135*y**6 + 0*y + 0 - 1/54*y**4 - 1/27*y**3 - 2*y**2 + 7/270*y**5. What is l in j(l) = 0?
-1/4, 1
Let n(s) be the first derivative of -s**4/6 - 28*s**3/27 - 20*s**2/9 - 16*s/9 + 2. What is c in n(c) = 0?
-2, -2/3
Let z be (-5)/45 - (59/(-45) + 1). Determine x so that 0 - z*x**2 - 1/5*x = 0.
-1, 0
Factor -24/7*z**2 - 32/7 + 48/7*z + 4/7*z**3.
4*(z - 2)**3/7
Let i(q) = -4*q**3 + q**2 - 3 + 0*q**3 + 2. Let k be i(-1). Find t such that 5*t**4 - 2*t**4 - t**2 + t - 2*t**k - t**3 = 0.
-1, 0, 1
Let q(x) be the third derivative of x**8/50400 - x**7/12600 + x**5/30 - x**2. Let c(n) be the third derivative of q(n). Factor c(r).
2*r*(r - 1)/5
Suppose 8 = -250*d + 254*d. Factor 2*h**3 - 16/3*h**d + 0 + 8/3*h.
2*h*(h - 2)*(3*h - 2)/3
Suppose -3*a - 6 = -18. Determine n so that 2/7*n**3 - 2/7*n - 8/7*n**a + 0 + 8/7*n**2 = 0.
-1, 0, 1/4, 1
Let z(i) be the second derivative of -i**5/20 + i**4/6 - i**3/6 - 3*i. Factor z(m).
-m*(m - 1)**2
Suppose 3*x + 0*x = 0. Let o(y) be the second derivative of 0*y**3 - 5/84*y**7 + 0*y**4 + x + 0*y**2 - 2/15*y**6 + y + 1/10*y**5. Let o(w) = 0. Calculate w.
-2, 0, 2/5
Let k(s) = -s**3. Suppose b = -2*b - 168. Let h = b + 78. Let t(i) = -12*i**3 - i**2. Let g(f) = h*k(f) - 2*t(f). Solve g(p) = 0.
-1, 0
Let t(w) = -w**3 + 11*w**2 - 2*w + 16. Let i be t(11). Let g(o) = o**2 - o - 1. Let p(q) = 4*q**2 - 5*q - 2. Let h(f) = i*g(f) + 2*p(f). Solve h(n) = 0.
1
Let w be (-3)/((-6)/(-2)) + 22/18. Find p such that 2/9*p**2 - w + 0*p = 0.
-1, 1
Let n(v) be the second derivative of -v**8/6720 + v**7/840 - v**6/240 + v**5/120 - v**4/6 - 3*v. Let g(d) be the third derivative of n(d). Factor g(p).
-(p - 1)**3
Let i(u) = -2*u**3 - 13*u**2 - 6*u. Let b be i(-6). Let y(k) be the first derivative of -k**3 + 1/2*k**2 + b*k + 3/4*k**4 - 3 - 1/5*k**5. Factor y(q).
-q*(q - 1)**3
Let c be (-244)/(-40) + -3 - 3. Let y(f) be the second derivative of 2*f - 1/4*f**2 - 1/3*f**3 + 0 - 1/4*f**4 - c*f**5 - 1/60*f**6. Factor y(d).
-(d + 1)**4/2
Let 20*f**2 - 24*f - 5*f + 5*f - 24*f**2 - 36 = 0. What is f?
-3
Let j(s) be the first derivative of -10*s**2 + 4*s - 4 + 25/3*s**3. Factor j(y).
(5*y - 2)**2
Let n(x) be the third derivative of -2/15*x**5 + 0*x**3 + 1/3