 = 4*d. Suppose 1/6*n**2 + 0 + c*n - 1/6*n**3 = 0. Calculate n.
0, 1
Let n = 11 - 3. Let w = n + -4. Factor 5*q**4 - 3 + 6*q**3 + 2*q**w - 4*q**4 + 0 - 6*q.
3*(q - 1)*(q + 1)**3
Let n(l) = 9*l**2 + 13*l - 1. Let h = 46 - 21. Suppose 21*f - 16*f - h = 0. Let o(d) = -4*d**2 - 6*d. Let q(k) = f*o(k) + 2*n(k). Find u such that q(u) = 0.
-1
Factor -352 - 16*b - 2/11*b**2.
-2*(b + 44)**2/11
Suppose 150*w = 78*w + 216. Factor 1/5*h**2 + 1/10*h - 1/5 - 1/10*h**w.
-(h - 2)*(h - 1)*(h + 1)/10
Let n(i) = i. Let k be 8/(-12)*3 - -4. Let m be n(k). Determine q, given that 0*q + 5*q**2 + 0*q**m - 2*q - 3*q**2 = 0.
0, 1
Let q(k) be the first derivative of -k**4/6 - 5*k**3/18 - k**2/12 + 166. Factor q(m).
-m*(m + 1)*(4*m + 1)/6
Let z(j) be the third derivative of -5/8*j**4 + 0*j**5 + 0*j + 11*j**2 + 1/24*j**6 + 0 - 5/3*j**3. Find u such that z(u) = 0.
-1, 2
Suppose 3*s = -8*s. Let z(q) be the third derivative of s*q - 2*q**2 + 0 - 1/210*q**7 + 1/3*q**3 + 1/20*q**5 + 1/120*q**6 - 5/24*q**4. Let z(t) = 0. What is t?
-2, 1
Let k(j) be the first derivative of 0*j**2 - 7 + 1/4*j**4 - 2*j + 0*j**3 - 3/20*j**5. Let s(q) be the first derivative of k(q). Let s(l) = 0. What is l?
0, 1
Let c(i) be the first derivative of 15*i**4/4 + 11*i**3 + 21*i**2/2 + 3*i + 345. Factor c(a).
3*(a + 1)**2*(5*a + 1)
Let b(l) be the third derivative of -l**9/181440 - l**8/181440 + l**7/22680 - 2*l**5/3 + 2*l**2 + 47*l. Let x(p) be the third derivative of b(p). Factor x(n).
-n*(n + 1)*(3*n - 2)/9
Factor 0 + 9/4*i**4 - 9/4*i**2 + 6*i**3 + 0*i.
3*i**2*(i + 3)*(3*i - 1)/4
Let c(i) be the second derivative of -i**7/399 + 7*i**6/285 - 8*i**5/95 + 4*i**4/57 + 16*i**3/57 - 16*i**2/19 + 9*i + 5. Find o, given that c(o) = 0.
-1, 2
Let q(l) = 6*l**3 - l. Let f be q(1). Suppose f*m - 20 = m. Suppose 1/2*v**3 - 3/4*v + 1/4 - 3/4*v**4 + 1/4*v**m + 1/2*v**2 = 0. What is v?
-1, 1
Let v(h) = -2*h + 4. Let t be v(2). Let q(f) be the second derivative of -3*f + 0*f**2 + 1/3*f**3 + t*f**4 - 1/10*f**5 + 0. Factor q(b).
-2*b*(b - 1)*(b + 1)
Find v such that -25*v**4 - 1895 - 6480*v - 3238*v**2 - 130 + 232*v**3 + 1714*v**2 + 488*v**3 - 3210*v**2 = 0.
-3/5, 15
Suppose -4*o - 5*h + 1 + 9 = 0, -5*h = -10. Suppose -98 = -3*u - 4*c - 114, -2*u = 4*c + 16. Solve u*l + o + 6/5*l**2 - 2/5*l**3 = 0.
0, 3
Solve -12*z**2 + 3*z**5 - 9*z**3 - 7*z - 163*z**4 + 169*z**4 + 19*z = 0.
-2, 0, 1
Let y be (-8 - (-16)/2) + 1662 + -1. Determine n, given that -2*n**3 - 1631 + y - n**3 - 30*n**2 + 3*n = 0.
-10, -1, 1
Suppose 0 = f + 5 - 7. Let 79*z**f - 559*z**5 + 225*z**4 + 970*z**3 + 301*z**2 + 154*z**5 + 40*z = 0. Calculate z.
-1, -2/9, 0, 2
Let f(d) be the second derivative of -d**6/90 + 4*d**5/45 - 5*d**4/18 + 4*d**3/9 + 3*d**2 + 11*d. Let u(t) be the first derivative of f(t). Factor u(y).
-4*(y - 2)*(y - 1)**2/3
Suppose -435 = -0*t - 5*t. Let x = 89 - t. Let 2/9*j - 4/9 + 2/9*j**x = 0. Calculate j.
-2, 1
Factor 92*j - 21*j**2 + 2324 + 4602 - 4622 + 100*j + 4*j**3 - 59*j**2.
4*(j - 12)**2*(j + 4)
Factor -2*p**3 + 13*p - 14*p - p**2 - 11*p - 9*p**2.
-2*p*(p + 2)*(p + 3)
Let a(p) be the third derivative of p**5/60 + p**4/6 - 20*p**2 - 1. Factor a(x).
x*(x + 4)
Suppose -w + 2*r + 2 = 9, -13 = w - 4*r. Let b be (-3 + -5)/2*w. Find n, given that -5*n**5 - 4*n - 4*n**2 - 4*n + n**5 + b*n**4 + 12*n**3 = 0.
-1, 0, 1, 2
Let q(x) be the third derivative of 0 - 1/270*x**5 + 0*x**3 + 0*x + x**2 + 1/108*x**4. Factor q(v).
-2*v*(v - 1)/9
Let i(s) = -16*s**2 - 15*s**2 - 16*s**2 + 16 - 3*s + 43*s**2. Let m(r) = -r**2 - r + 4. Let u(c) = 4*i(c) - 18*m(c). Factor u(d).
2*(d - 1)*(d + 4)
Let f = -26377/21 + 3772/3. What is y in 1/7 + 24/7*y**2 + 16/7*y**3 + f*y = 0?
-1, -1/4
Let x(l) = 2*l**3 - l**2 - 5*l - 1. Let z(q) = -q**2 + q + 1. Let d(i) = -2*x(i) - 2*z(i). Factor d(n).
-4*n*(n - 2)*(n + 1)
Let r(v) = v**3 + 4*v**2 - 4*v - 2. Let o be r(-4). Solve -5*i**2 - o*i**2 + 15*i**2 = 0 for i.
0
Let x be (4 + -2 - -2)*3/6. Let -b + 7*b + 2 + 1 + b**3 + b + 5*b**x = 0. What is b?
-3, -1
Let g(r) = r**2 - r - 1. Let y(p) = -4*p**2 + 11*p - 12. Let s(q) = 6*g(q) + y(q). Let m be s(2). Factor m*j - 3/2*j**3 + 0 - 3/2*j**4 + 3*j**2.
-3*j**2*(j - 1)*(j + 2)/2
Let p(n) be the second derivative of n**6/120 + n**5/30 - 41*n**2/2 + 29*n. Let f(c) be the first derivative of p(c). Suppose f(h) = 0. Calculate h.
-2, 0
Let u(i) be the third derivative of i**7/840 + 19*i**6/240 + 11*i**5/5 + 1573*i**4/48 + 6655*i**3/24 + 352*i**2. Determine s, given that u(s) = 0.
-11, -5
Let b be (9/45*895)/(1 - 0). Let j = b + -177. Let 0 + 1/2*y**3 + 0*y + 3/2*y**j = 0. What is y?
-3, 0
Let p be (16 - 16) + 3 + -1. Let j(t) be the first derivative of -1/12*t**6 + 1/2*t**5 - 3 - 1/6*t**3 - 7/8*t**4 - 2*t + p*t**2. Let j(n) = 0. Calculate n.
-1, 1, 2
Let k(b) be the second derivative of -b**5/80 - 7*b**4/48 - b**3/2 + 115*b. Solve k(a) = 0 for a.
-4, -3, 0
Factor 23/7*y**3 + 22/7 - 23/7*y - 3*y**2 - 1/7*y**4.
-(y - 22)*(y - 1)**2*(y + 1)/7
Determine x so that 0 + 12/5*x**3 + 3*x**2 + 3/5*x**4 + 6/5*x = 0.
-2, -1, 0
Let y(k) be the third derivative of 0*k + 2/7*k**3 - 24 - 2*k**2 - 1/21*k**4 - 1/105*k**5. Factor y(q).
-4*(q - 1)*(q + 3)/7
Let c(x) be the first derivative of -x**6/33 + 6*x**5/55 + 102. Factor c(d).
-2*d**4*(d - 3)/11
Let d(o) be the second derivative of o**6/330 - 13*o**5/220 + 19*o**4/132 + o**3/2 - 27*o - 9. Factor d(b).
b*(b - 11)*(b - 3)*(b + 1)/11
Let p(w) be the second derivative of -1/12*w**4 + 1/84*w**7 + 0*w**3 + 11*w - 3/40*w**5 + 0*w**6 + 0*w**2 + 0. What is k in p(k) = 0?
-1, 0, 2
Let j(y) be the first derivative of -2*y**5/125 + 12*y**4/25 - 96*y**3/25 - 16. Solve j(s) = 0.
0, 12
Let i(k) be the second derivative of -k**8/1120 - k**7/112 - 7*k**6/240 - 3*k**5/80 - k**3/6 - 16*k. Let p(r) be the second derivative of i(r). Factor p(f).
-3*f*(f + 1)**2*(f + 3)/2
Let s be (20/(-15) + 2)*6. Let g = -88/15 - -6. Factor 0*j + g*j**s + 4/15*j**2 - 2/5*j**3 + 0.
2*j**2*(j - 2)*(j - 1)/15
Let g(v) be the third derivative of -v**7/1260 - v**6/360 + v**5/90 + v**4/72 - v**3/12 - 4*v**2 - 5*v. Determine r, given that g(r) = 0.
-3, -1, 1
Let u(h) be the second derivative of -h**8/240 + 2*h**7/175 + h**6/150 + h**2/2 + 24*h. Let z(x) be the first derivative of u(x). Factor z(q).
-q**3*(q - 2)*(7*q + 2)/5
Let g be (21/(-12))/(10*2/(-26)). Let h = -15/8 + g. Factor 1/5*q + 2/5 - h*q**2 - 1/5*q**3.
-(q - 1)*(q + 1)*(q + 2)/5
Suppose -i = 3*i + 16. Let j(h) = 7*h**3 + 8*h**2 + 8*h + 4. Let a(w) = 36*w**3 + 39*w**2 + 39*w + 21. Let d(m) = i*a(m) + 21*j(m). Factor d(x).
3*x*(x + 2)**2
Let l(t) = -8*t**4 - 16*t**3 - 4*t**2 + 4*t + 2. Let q(h) = 15*h**4 + 32*h**3 + 9*h**2 - 8*h - 5. Let f(z) = -5*l(z) - 2*q(z). Factor f(s).
2*s*(s + 1)**2*(5*s - 2)
Let t(m) = 47*m**4 - 104*m**3 + 25*m**2 + 255*m + 79. Let s(h) = 9*h**4 - 21*h**3 + 5*h**2 + 51*h + 16. Let b(w) = -11*s(w) + 2*t(w). Factor b(x).
-(x - 3)**2*(x + 1)*(5*x + 2)
Let c(m) = 3*m**3 - 22*m**2 - 2. Let z(t) = -5*t**3 + 45*t**2 + 5. Let k be 2 - (0 - 0) - (-20 - -27). Let f(x) = k*c(x) - 2*z(x). Factor f(w).
-5*w**2*(w - 4)
Determine s, given that 90/11*s - 12/11*s**2 - 42/11 = 0.
1/2, 7
Let k be ((-11)/2 - 2)*(-68)/425. Factor 6/5*l**3 - 6/5*l + k - 6/5*l**2.
6*(l - 1)**2*(l + 1)/5
Let t(b) = 85*b**2 - 75*b + 8. Let k(s) = -21*s**2 + 19*s - 2. Suppose -g = 4*g - 10. Let o(d) = g*t(d) + 9*k(d). Factor o(l).
-(l - 1)*(19*l - 2)
Suppose 0 = -5*r + 23 + 12. Let u be ((-21)/r + 3)/(2 - 3). Factor u + 2/3*q**2 + 2/3*q.
2*q*(q + 1)/3
Determine l, given that -2578*l**2 - 2534*l**2 + 5192*l**2 - 25*l**3 - 125*l**4 - 20*l = 0.
-1, 0, 2/5
Let w(o) = -2*o**2 + 39*o - 17. Let d = -255 - -274. Let t be w(d). Find z such that 8/9*z + 2/9*z**4 + 2/9 + 8/9*z**3 + 4/3*z**t = 0.
-1
Let p(m) be the second derivative of 0 - 1/30*m**4 - 1/15*m**3 + 3*m + 0*m**2. Let p(u) = 0. Calculate u.
-1, 0
Let y(w) be the second derivative of -14*w + 1/12*w**6 + 0 + 1/2*w**2 - 3/4*w**3 + 9/40*w**5 - 7/24*w**4. Determine o so that y(o) = 0.
-2, -1, 1/5, 1
Let h be ((-9)/(-6))/((-2)/4). Let w be -2 + h/((-6)/28). Factor -w*d**3 + 0*d**3 - 16*d**4 + 12*d**4.
-4*d**3*(d + 3)
Let c(f) be the second derivative of f + 6 - 1/3*f**3 + 1/6*f**4 - 12*f**2. Suppose c(r) = 0. What is r?
-3, 4
Suppose -5*c + 21 = -3*m, -92*c + 21 = -96*c - 3*m. Let 0*s**2 - 2/1