d**3 + 2*d**2.
2*d*(d + 1)**2
Let b(g) = g**2 + 7*g + 9. Let q be b(-6). Let y be (q - 14/4)/(-2). Suppose 0*l + 1/4*l**2 - 1/4*l**5 - 1/4*l**4 + y*l**3 + 0 = 0. Calculate l.
-1, 0, 1
Let y(v) = -4*v**4 + 7*v**3 - 6*v**2 + 7*v - 4. Let h(m) = -3*m**4 + 6*m**3 - 6*m**2 + 6*m - 3. Let b(f) = -3*h(f) + 2*y(f). Factor b(u).
(u - 1)**4
Let a(v) be the first derivative of 1/25*v**5 - 1/20*v**4 + 1/10*v**2 - 1/5*v**3 + 2/5*v - 8. Determine s so that a(s) = 0.
-1, 1, 2
Let a be 6*(-6)/(-9) + 31. Let w = -243/7 + a. Factor 4/7*o**2 + w*o + 0.
2*o*(2*o + 1)/7
Let t be (1/(-3))/(1/(-9)). Factor 3 + 2*x**2 - t - 3*x - 3*x**3 - 8*x**2.
-3*x*(x + 1)**2
Suppose 82*g = 79*g. Let a(p) be the third derivative of g - 3*p**2 - 1/360*p**5 - 1/36*p**3 - 1/72*p**4 + 0*p. Let a(c) = 0. Calculate c.
-1
Factor 8*x**2 - 15 + 76*x + 15*x**3 - 34*x**2 - 39*x**2 - 11*x.
5*(x - 3)*(x - 1)*(3*x - 1)
Let r = 193 - 601/3. Let h = -29/6 - r. Determine u, given that h*u**2 - 1/4*u - 27/4*u**5 - 9*u**3 + 27/2*u**4 + 0 = 0.
0, 1/3, 1
Let t = 1 + 2. Suppose r + 3*r - 4*j = 20, 2*r + t*j + 5 = 0. What is f in -f**5 - 2*f**3 - 2*f**2 + f**r - 3*f**4 - f**3 = 0?
-1, 0
Let k(g) be the second derivative of -g**7/210 + g**6/50 - g**5/50 + 2*g. Factor k(j).
-j**3*(j - 2)*(j - 1)/5
Let w be ((-11)/44)/(2/(-16)). Let c(k) be the first derivative of -w + 2/35*k**5 + 0*k**4 + 0*k**2 + 0*k + 0*k**3. Factor c(y).
2*y**4/7
Let p(y) be the third derivative of -1/16*y**4 + 0*y**5 + 1/240*y**6 + 0*y + 2*y**2 + 0 + 1/6*y**3. Find z such that p(z) = 0.
-2, 1
Let p(x) = -3*x**2 + 5*x. Let m(c) = -2*c**2 + 4*c. Let q(t) = 4*m(t) - 3*p(t). Factor q(s).
s*(s + 1)
Let h(m) be the second derivative of -m**7/147 + 4*m**6/105 - 3*m**5/35 + 2*m**4/21 - m**3/21 - 6*m. Factor h(w).
-2*w*(w - 1)**4/7
Suppose -35/4*u**5 - 175/4*u**2 - 295/4*u**3 + 0 - 15/2*u - 185/4*u**4 = 0. Calculate u.
-3, -1, -2/7, 0
Let d = 4 + -2. Let s be (d + -2)*(-2)/(-4). Find j, given that 0 - 2 + s*j - 7*j - 3*j**2 = 0.
-2, -1/3
Let i(f) = 1. Let q(b) = -5*b**2 - 5*b + 20. Let v(j) = -20*i(j) + q(j). Suppose v(y) = 0. Calculate y.
-1, 0
Let d be (12/3)/((-40)/(-4)). Factor -2/5 + 2/5*j**2 - d*j**3 + 2/5*j.
-2*(j - 1)**2*(j + 1)/5
Let c(d) be the second derivative of -2*d**6/135 - d**5/30 - d**4/54 + 12*d. Determine l, given that c(l) = 0.
-1, -1/2, 0
Let n(k) = k**2 - 3*k + 1. Let a be n(2). Let q = a + 3/2. Factor q*w**2 + 0 - 1/4*w - 1/4*w**3.
-w*(w - 1)**2/4
Suppose 5*w + z - 4 = 4*z, 0 = -2*w + 2*z. Suppose -l = 3*l + 3*n - 20, l - 3*n + 10 = 0. Find k such that w*k**3 + 2*k**l - k**3 - 6*k**3 + 3*k**3 = 0.
0, 1
Suppose d - 5 = -2. Factor 0*b + 6*b - d + 3 + 3*b**2.
3*b*(b + 2)
Find i such that -2/7 + 2/7*i**2 - 2/7*i**3 + 2/7*i = 0.
-1, 1
Let n(m) be the third derivative of m**7/35 - 2*m**6/15 - m**5/10 + m**4 + 4*m**3/3 - 14*m**2 + m. Let n(q) = 0. What is q?
-1, -1/3, 2
Factor 1/3 - 1/3*a + 1/3*a**3 - 1/3*a**2.
(a - 1)**2*(a + 1)/3
Let y be -5*16/(-200)*5. Factor -4/3*m + 2/3 + 2/3*m**y.
2*(m - 1)**2/3
Find p such that 12*p**2 + 35*p**3 + 20*p - 105*p**2 + 13*p**2 = 0.
0, 2/7, 2
Factor 0*z + 2/5*z**2 + 0.
2*z**2/5
Let h(v) = -4*v**2 + 3*v + 1. Let r be ((-16)/10)/(6/(-15)). Let c(m) = -5*m**2 + 4*m + 1. Let w(k) = r*h(k) - 3*c(k). Factor w(g).
-(g - 1)*(g + 1)
Let t(u) be the second derivative of -2*u**7/21 + 2*u**6/5 - u**5/5 - u**4 + 4*u**3/3 + 9*u. Find z such that t(z) = 0.
-1, 0, 1, 2
Suppose 0 = 3*h - 8*h - 15. Let o(v) = -5*v + 7*v**2 + 2*v**3 - 4 - 1 + 4. Let m(q) = 3*q**3 + 8*q**2 - 5*q - 2. Let u(y) = h*m(y) + 4*o(y). Factor u(c).
-(c - 2)*(c - 1)**2
Let x be (-112)/28 - 14/(0 + -2). Factor 0 + 1/2*s**5 - 2*s**2 - 2*s**4 + 1/2*s + 3*s**x.
s*(s - 1)**4/2
Let r(l) = -l. Let f be r(-5). Let v(i) = i**3 + i**2 + i + 1. Let w(u) = -3*u**3 - u**2 - 7*u - 9. Let t(c) = f*v(c) + w(c). Factor t(y).
2*(y - 1)*(y + 1)*(y + 2)
Let s be 3*16/(-60)*2/(-4). Factor s*m**3 - 1/5*m - 1/5*m**5 + 1/5*m**4 + 1/5 - 2/5*m**2.
-(m - 1)**3*(m + 1)**2/5
Determine v so that -77 + 77 + 2*v**4 - 4*v**3 = 0.
0, 2
Let -155*y**3 + 126*y**5 + 20*y + 98*y**5 - 60*y**4 + 60*y**2 - 89*y**5 = 0. What is y?
-1, -2/9, 0, 2/3, 1
Let v be (-1)/1 + (2 - 7). Let u be 0 + (-2 - (v - 0)). Let 8*b**3 - 7*b**4 - 3*b**2 + b**3 + b**u = 0. What is b?
0, 1/2, 1
Let p(u) be the third derivative of 0*u**7 + 0*u - 1/72*u**4 - 1/1008*u**8 + 0*u**3 + 0 + 0*u**5 + 1/180*u**6 - 3*u**2. Suppose p(l) = 0. Calculate l.
-1, 0, 1
Let j be 2/((-36)/(-22)) + -1. Let z be (4/(-46) - (-14)/161)/2. Factor z - 2/9*o**2 - j*o**4 - 4/9*o**3 + 0*o.
-2*o**2*(o + 1)**2/9
Suppose -f = 4*f + 5. Let o(b) = b + 1. Let j be o(f). Suppose j - 2/5*i**2 + 2/5*i = 0. Calculate i.
0, 1
Let -8*v**2 + 113*v + 4 - 97*v + 3*v**4 + 14*v**3 + 31*v**2 = 0. Calculate v.
-2, -1, -2/3
Determine g, given that -g**2 - 2/3*g + 5/6*g**3 - 1/6*g**4 + 4/3 = 0.
-1, 2
Factor 1/5*p**4 + 0*p + 0*p**3 + 1/5 - 2/5*p**2.
(p - 1)**2*(p + 1)**2/5
Let k be (-9)/6 + (-1)/((-1)/2). Factor 0*f - k*f**2 + 1/2.
-(f - 1)*(f + 1)/2
Let c be ((-9)/(-10))/((-48)/(-80)). Let x(i) be the first derivative of -i**3 + 2 - 3/4*i**4 + 3*i + c*i**2. Factor x(w).
-3*(w - 1)*(w + 1)**2
Let j be (-8)/(-108)*24/10. Let a(h) be the first derivative of 0*h**2 + 1 + 5/18*h**4 + 0*h + 2/27*h**3 + j*h**5. Find x such that a(x) = 0.
-1, -1/4, 0
Suppose -69 = -22*n - 25. What is t in 10/3*t**n - 8*t + 8/3 = 0?
2/5, 2
Suppose 20 = 34*g - 24*g. Find r, given that 10/13*r**2 - g*r - 12/13 = 0.
-2/5, 3
Let t(h) = -h**2 + 21*h + 7. Let o(j) = -20*j - 8. Let i(d) = -5*o(d) - 4*t(d). Factor i(l).
4*(l + 1)*(l + 3)
Solve 1/4 - 1/4*f**3 - 3/4*f + 3/4*f**2 = 0.
1
Suppose -2*r + 6 = 2. Determine s so that -2*s**2 + s + s + 0 + r + 0*s - 2*s**3 = 0.
-1, 1
Suppose 0*n + 2*n - 4*b = 8, 20 = 5*n + 4*b. Let h(z) be the first derivative of 0*z**2 + 0*z - z**3 - 3/5*z**5 - n - 3/2*z**4. Find a such that h(a) = 0.
-1, 0
Let -7*j**2 + 0*j**3 + 22*j**2 - 3*j**4 - 3*j**3 - 5*j - 4*j = 0. Calculate j.
-3, 0, 1
Let l(s) be the third derivative of s**7/315 + s**6/60 + s**5/30 + s**4/36 - 6*s**2. Factor l(o).
2*o*(o + 1)**3/3
Suppose 4*f + 3*r + 9 = 0, -3*f + 3 = -r - 0. Suppose -2/13*t**3 + f - 2/13*t**5 + 4/13*t**4 + 0*t**2 + 0*t = 0. What is t?
0, 1
Let a(r) be the first derivative of -3*r**4/8 + 5*r**3/6 + r**2/2 - 8. Suppose a(y) = 0. Calculate y.
-1/3, 0, 2
Factor 6/11*j**5 + 0*j + 10/11*j**4 + 2/11*j**3 + 0 - 2/11*j**2.
2*j**2*(j + 1)**2*(3*j - 1)/11
Let i(v) = -v**3 + v**2 - 1. Let g(c) = 3*c**3 - 2*c**2 - 3*c + 4. Let b(y) = -3*g(y) - 6*i(y). Factor b(z).
-3*(z - 1)**2*(z + 2)
Suppose -2/5 + n**2 + 3/5*n = 0. What is n?
-1, 2/5
Let g(y) = y - 1. Let b(r) = r**5 + 2*r**4 - 2*r**2 - 2*r + 1. Let c(n) = -3*b(n) - 3*g(n). Determine v so that c(v) = 0.
-1, 0, 1
Let s(y) be the third derivative of y**9/60480 - y**8/4032 + y**7/630 - y**6/180 - y**5/20 - 2*y**2. Let a(p) be the third derivative of s(p). Factor a(g).
(g - 2)**2*(g - 1)
Let j be (5 - 4)*6/(-63). Let p = 16/21 + j. Let p*k**2 - 2/3*k + 0 = 0. What is k?
0, 1
Let m = -147/5 - -1687/55. Determine l, given that -2/11*l**3 - m*l + 6/11 + 10/11*l**2 = 0.
1, 3
Let s(r) be the first derivative of -r**6/24 + r**5/20 + r**4/8 - r**3/6 - r**2/8 + r/4 + 8. Determine y, given that s(y) = 0.
-1, 1
Let n be ((-2)/(-18))/((-5)/(-60)). Factor -2/3*m**2 + 0 - 2/3*m**3 + n*m.
-2*m*(m - 1)*(m + 2)/3
Let j be (-40)/(-42) - ((-10)/(-35) + 0). Factor -j*x + 5/3*x**2 + 0 + x**3.
x*(x + 2)*(3*x - 1)/3
Factor 8*m**3 - 4*m - 25*m - 2*m + 12*m**2 + 12 - m.
4*(m - 1)*(m + 3)*(2*m - 1)
Let x(p) be the third derivative of p**8/2016 - p**7/210 + p**6/80 + 8*p**2. Let x(a) = 0. What is a?
0, 3
Let -2 + 5/2*l - 1/2*l**2 = 0. What is l?
1, 4
Let d(l) be the third derivative of -l**5/20 + 3*l**4/4 - 9*l**3/2 + 6*l**2. Factor d(u).
-3*(u - 3)**2
Let v(c) be the first derivative of 2*c**5/5 - 2*c**3 + 2*c**2 - 9. Solve v(m) = 0.
-2, 0, 1
Let v = -1/2 + 9/10. Factor 2/5*u + v*u**2 - 2/5*u**3 + 0 - 2/5*u**4.
-2*u*(u - 1)*(u + 1)**2/5
Let q(m) = -m**2 + m + 1. Let w(k) = -6*k**2 + k**5 + 5*k + k**4 + 5 + 0 - 5*k**3 + 4*k**3. Let l(h) = 5*q(h) - w(h). Factor l(s).
-s**2*(s - 1)*(s + 1)**2
Let f(t) be the second derivative of -t**6/45 - t**5/30 + 2*t**4/9 + 4*t**3/9 + 16*t. Suppose f(s) = 0. What is s?
-2, -1, 0, 2
Let f(w) be the second derivative