- d**2 + 2*d**z + 2*d**3.
d**2*(d + 1)**2
Let h(g) be the third derivative of 5*g**8/672 + g**7/21 + g**6/8 + g**5/6 + 5*g**4/48 - 3*g**2. Factor h(z).
5*z*(z + 1)**4/2
Let v be (-5)/15 + 122/360. Let s(c) be the third derivative of 0 + 0*c**3 + 0*c**4 - 1/315*c**7 - v*c**6 + 1/504*c**8 + c**2 + 0*c + 1/90*c**5. Factor s(a).
2*a**2*(a - 1)**2*(a + 1)/3
Let c be (-6)/(-21) + (48/28 - 2). Factor 1/3*f**3 + 1/3*f**2 + c + 0*f.
f**2*(f + 1)/3
Let f(n) = -30*n**3 + 55*n**2 - 35*n - 20. Let b(d) = -d**3 - d - 1. Let c(g) = -10*b(g) + f(g). What is z in c(z) = 0?
-1/4, 1, 2
Let p = -23041/155 + -8294/31. Let o = p - -419. Factor 4/5*m - 46/5*m**4 + 0 + o*m**5 + 54/5*m**3 - 26/5*m**2.
2*m*(m - 1)**3*(7*m - 2)/5
Let g = 4 - 0. Let z be 3/g*(-2)/(-3). Factor -3*f**4 + z*f**5 - 8*f**2 - 1 + 7*f**3 + 9/2*f.
(f - 2)*(f - 1)**4/2
Suppose -5*m - 2*z + 5 = -5, -z = 2*m - 4. Suppose 0 = 3*i + 3*p + 3, -m*p - p - 19 = -5*i. Factor 0*l + 1/4 - 1/4*l**i.
-(l - 1)*(l + 1)/4
Let h = -74 - -77. Let -7/4*u + 7/4*u**h + 1/2 - 1/2*u**2 = 0. Calculate u.
-1, 2/7, 1
Suppose 1/5*g**3 - 2/5 - 1/5*g**4 - 1/5*g + 3/5*g**2 = 0. What is g?
-1, 1, 2
Let x(b) = -27*b**4 - 51*b**3 - 33*b**2 + 33*b + 24. Let j(u) = 13*u**4 + 26*u**3 + 17*u**2 - 16*u - 12. Let n(d) = -9*j(d) - 4*x(d). Let n(h) = 0. What is h?
-2, -1, 2/3
Let x = -7943/24 + 331. Let i(o) be the third derivative of -1/120*o**6 + 0*o**3 - 2*o**2 + 0*o**5 + x*o**4 + 0*o + 0. Find r such that i(r) = 0.
-1, 0, 1
Let q(d) be the third derivative of d**6/15 - 7*d**5/30 + d**4/6 + d**3/3 + 9*d**2. Factor q(k).
2*(k - 1)**2*(4*k + 1)
Suppose 20 = 5*q - 0. What is i in 8*i**3 - q*i**2 - 13*i**3 - 49*i**4 - 23*i**3 = 0?
-2/7, 0
Let b be ((-4)/(-3))/((-34)/255). Let a be ((-1)/(1/4))/b. Suppose 4/5 + 2/5*t - a*t**3 - 4/5*t**2 = 0. What is t?
-2, -1, 1
Let j(o) = -3*o**3 + o - 2. Let b(h) = -h**3 + h**2 - h - 1. Let u(s) = -2*b(s) + j(s). Factor u(i).
-i*(i - 1)*(i + 3)
Factor 3*i**4 + 0*i**3 + 9*i**2 - 6*i**4 + 11*i - 3*i**3 + 4*i + 6.
-3*(i - 2)*(i + 1)**3
Let f(w) be the second derivative of -3*w**5/100 - w**4/10 - w**3/10 - 7*w. Factor f(o).
-3*o*(o + 1)**2/5
Let j = 6 - 3. Let d be (-28)/(-15) + j/(-15). Factor d*u**3 - 2/3*u + 0 - u**2.
u*(u - 1)*(5*u + 2)/3
Let c(j) be the third derivative of -j**8/1176 - 2*j**7/735 - 26*j**2. Determine m, given that c(m) = 0.
-2, 0
Let o(a) be the third derivative of -15/56*a**8 - 2*a**2 + 0*a**3 - 8/105*a**7 + 0 + 1/15*a**6 + 0*a + 0*a**5 + 0*a**4. Let o(n) = 0. Calculate n.
-2/5, 0, 2/9
Let o = -6 + 10. Find y such that y**4 + 0 - 4*y - 4*y**3 + 2*y**2 + 0*y**3 + 1 + o*y**2 = 0.
1
Let f be 3/(-6) - 5/(10/(-2)). Factor -f + 2*w**3 - 1/2*w**4 + 2*w - 3*w**2.
-(w - 1)**4/2
Let i(r) = r**5 + r**4 - r**2 - r. Let u(q) = -24*q**5 + 16*q**4 + 31*q**3 - 14*q**2 - 7*q - 2. Let t(l) = 24*i(l) + 3*u(l). Find c such that t(c) = 0.
-1, -1/4, 1, 2
Let k(l) = 2*l**2 + l. Let h(n) = n**2 + 2*n. Let f(b) = -5*h(b) + 4*k(b). Solve f(j) = 0.
0, 2
Let u = 506 - 2528/5. Factor -u*r + 2/5*r**2 - 4/5.
2*(r - 2)*(r + 1)/5
Let m(r) be the first derivative of 0*r - 6 + 1/14*r**4 + 4/21*r**3 + 0*r**2. Let m(p) = 0. Calculate p.
-2, 0
Suppose -5*p = -2*g - 20, 2*g = 5*p - 2*g - 30. Factor -p*k**2 - 4 + 15*k - 14*k - 7*k.
-2*(k + 1)*(k + 2)
Let z be ((-9)/(-15))/(2/10). Let r(q) be the first derivative of 15/2*q**2 + z + 9*q + 2*q**3. Factor r(i).
3*(i + 1)*(2*i + 3)
Let f be (-4)/(-16)*-2*-18. Suppose 5*v - 5*q = -5, -3*q + f = 4*v - 8. Determine w, given that 6*w**3 - 14/3*w**v + 0 - 10/3*w**4 + 4/3*w + 2/3*w**5 = 0.
0, 1, 2
Let p(z) be the second derivative of -z**7/42 - z**6/15 + z**5/10 + z**4/3 - z**3/6 - z**2 + 2*z. Find k, given that p(k) = 0.
-2, -1, 1
Let f(y) = -y**4 - y**2 + y + 1. Let r(j) = -j**4 - 72*j**3 - 646*j**2 - 2594*j - 3890. Let g(z) = 2*f(z) + r(z). Factor g(m).
-3*(m + 6)**4
Let j(b) be the first derivative of b**6/3 - 7*b**5/10 - b**4/2 + 7*b**3/3 - 2*b**2 + 3*b + 3. Let v(i) be the first derivative of j(i). Factor v(p).
2*(p - 1)**2*(p + 1)*(5*p - 2)
Suppose -3*f - 12 = -7*f. Solve 12*y**f + 7*y**4 - 54 - 3*y**4 + 4*y + 12*y**2 + 54 = 0 for y.
-1, 0
Let v(o) be the second derivative of -o**7/3360 - o**6/320 - o**5/80 - o**4/3 + 2*o. Let x(z) be the third derivative of v(z). Determine w, given that x(w) = 0.
-2, -1
Let g(b) = -4*b**3 - 2*b**2 + 2*b - 3. Let m(c) = -c**3 - c**2 + c - 1. Let l(f) = -4*g(f) + 14*m(f). Suppose l(x) = 0. Calculate x.
1
Let o(n) be the third derivative of -n**6/540 - n**5/270 + n**4/108 + n**3/27 + 8*n**2. Factor o(r).
-2*(r - 1)*(r + 1)**2/9
Let q be (10/(-30))/(2/6). Let a be q/(-1)*6/21. Find y such that 0*y + 0*y**2 + a*y**3 + 2/7*y**4 + 0 = 0.
-1, 0
Let j(d) = d**3 - d. Let f be j(-2). Let p be f/(-4)*(-3)/(-9). Factor r**3 + 0*r - 3/2*r**5 + p*r**4 + 0*r**2 + 0.
-r**3*(r - 1)*(3*r + 2)/2
Let h(d) be the first derivative of 4 + 6*d - d**3 - 3/2*d**2. Solve h(f) = 0.
-2, 1
Let k(i) = -7*i**2. Let q(c) = -13*c**2. Let h(s) = 11*k(s) - 6*q(s). Factor h(t).
t**2
Solve 7 - 3 + 2*w - 9*w + w + 2*w**3 = 0 for w.
-2, 1
Factor -6*a**3 + 11*a - 11*a + 13*a**4 - 9*a**2 - 14*a**4.
-a**2*(a + 3)**2
Let -7/2*t**4 - 2/3*t + 0 - 37/6*t**3 - 2/3*t**5 - 4*t**2 = 0. Calculate t.
-2, -1, -1/4, 0
Factor 1/2*x**2 - 1/4*x**3 + 1/4*x - 1/2.
-(x - 2)*(x - 1)*(x + 1)/4
Let x(l) be the second derivative of 99/20*l**5 - 3*l**2 - 12/7*l**7 + l**4 - 5*l - 1/5*l**6 - 9/2*l**3 + 0. What is c in x(c) = 0?
-1, -1/2, -1/4, 2/3, 1
Factor -39/4*d - 15/4*d**5 - 57/2*d**3 - 33/2*d**4 - 3/2 - 24*d**2.
-3*(d + 1)**4*(5*d + 2)/4
Let l(c) = -6*c**4 + 15*c**3 - 16*c**2 + 5*c + 4. Let j(s) = -7*s**4 + 15*s**3 - 16*s**2 + 6*s + 5. Let t(b) = 2*j(b) - 3*l(b). Let t(f) = 0. Calculate f.
-1/4, 1, 2
Suppose 5*f + 5 = 15. Suppose 0 = 3*q - 12, 3*r - q + f = 2*r. Find o, given that -1/3 + 1/3*o**3 + o - o**r = 0.
1
Let r be ((-4)/10)/((-3)/15). Factor 15*f - r*f**5 - f - 12*f**3 + 84*f**2 + 6 - 10*f**4 - 80*f**2.
-2*(f - 1)*(f + 1)**3*(f + 3)
Factor 0*i**2 - 4/3*i**3 + 0*i + 2/3*i**4 + 0.
2*i**3*(i - 2)/3
Let s be 54/24 + (-2)/8. Factor q**3 + 4*q**2 + 2 - 3*q**3 - 6*q**2 + s*q.
-2*(q - 1)*(q + 1)**2
Let d(i) be the first derivative of -3*i**5/25 + 9*i**4/20 - 6*i**2/5 + 25. Determine n, given that d(n) = 0.
-1, 0, 2
Let n(c) be the third derivative of 0 - 1/240*c**5 - 1/6*c**3 + 3*c**2 - 1/24*c**4 + 0*c. Solve n(b) = 0 for b.
-2
Let w(n) be the second derivative of -3*n**5/20 - n**4/4 - 7*n. Factor w(j).
-3*j**2*(j + 1)
Factor 0 - 2*i**4 - 2*i**2 - 3*i**3 - 1/2*i - 1/2*i**5.
-i*(i + 1)**4/2
Let c be (9/15)/((-41)/(-10) + -2). Find f, given that -c - 8/7*f - 12/7*f**2 - 2/7*f**4 - 8/7*f**3 = 0.
-1
Let s(f) be the third derivative of -5*f**8/196 + 53*f**7/490 - 6*f**6/35 + 17*f**5/140 - f**4/28 + 8*f**2. Let s(w) = 0. Calculate w.
0, 1/4, 2/5, 1
Let k(w) be the third derivative of w**8/672 - w**7/420 - 2*w**2. Solve k(u) = 0 for u.
0, 1
Factor 3*n**5 - 5*n**3 + 2 + 2*n**5 - 2.
5*n**3*(n - 1)*(n + 1)
Let f(t) be the second derivative of 1/12*t**4 + 1/2*t**2 - 1/3*t**3 + 0 - 2*t. Factor f(x).
(x - 1)**2
Let 0*d + 0 - 2/9*d**2 = 0. Calculate d.
0
Let a be 3/(-2)*(-8)/6. Let m be 1 + ((-22)/(-18) - 2). Suppose 0 - m*c**4 + 2/9*c**a - 2/9*c**3 + 0*c + 2/9*c**5 = 0. Calculate c.
-1, 0, 1
Let t(g) = g**4 + g**3 - g + 1. Let f = 17 - 5. Let h(l) = 3*l**5 - 12*l**4 - 15*l**3 + 12*l - 12. Let o(j) = f*t(j) + h(j). Suppose o(r) = 0. What is r?
-1, 0, 1
Solve -3*i**5 - 106*i + 6*i**3 - 111*i + 214*i = 0 for i.
-1, 0, 1
Let t be 0 + 0 + 18/6. Suppose 5*x - t = -3*z, -4*z - 1 = 6*x - x. Let 2*m**4 + 2*m**3 + 2*m**2 + 2*m**x + 0*m**4 = 0. Calculate m.
-1, 0
Find h such that 0*h + 0 - 1/4*h**2 = 0.
0
Let p = -98279/90 + 1092. Let a(i) be the third derivative of 0*i**3 - 1/36*i**4 + 0*i + p*i**5 + 0 - i**2. Let a(o) = 0. Calculate o.
0, 1
Let y(a) be the second derivative of -a**7/399 + a**5/190 + 28*a. Factor y(v).
-2*v**3*(v - 1)*(v + 1)/19
Let d(u) be the third derivative of 11/140*u**5 - 4*u**2 - 1/28*u**4 + 0*u**3 + 0 + 0*u - 9/280*u**6. What is s in d(s) = 0?
0, 2/9, 1
Suppose 4*h - h = -q - 12, -q + 5*h + 28 = 0. Factor 9*t + 14*t**4 - 14*t**2 - 13*t + t**3 + 3*t**q.
2*t*(t - 1)*(t + 1)*(7*t + 2)
Let h = -3 + 5. Suppose -9*x**3 + 9*x**h - 4*x**4 - 3*x + 3*x**4 + 4*x**4 = 0. Calculate x.
0, 1
Suppose 2*g = 5*v - 6