 y(m) = 0.
-11, -2/3, -2/7, 0, 1
Let i(g) = g**3 - 2*g**2 - g + 1. Let h(o) = 3*o**3 - 30*o**2 - 30*o + 6. Let j(r) = h(r) - 6*i(r). Let j(p) = 0. Calculate p.
-4, -2, 0
Let g be (-37)/(-13) - 7/((-455)/10). Let -5*y + 8 - 3 - 3*y**2 + 5*y**g - 2*y**2 = 0. What is y?
-1, 1
Let f be (-8)/2 + (-7 - -14). Suppose 118*k + 14*k**3 + f*k**4 + k**5 - 109*k + 2 + 16*k**2 + 3*k**4 = 0. Calculate k.
-2, -1
Suppose 6*y - 9 - 3 = 0. Determine i so that -11*i**2 + y*i**3 - 4 + 48*i - 28 - 7*i**2 = 0.
1, 4
Let b(r) be the third derivative of -r**8/168 + r**7/7 + 4*r**6/15 + 2*r**2 - 17. Factor b(x).
-2*x**3*(x - 16)*(x + 1)
Let k(j) = -28*j**2 + 24*j + 6. Suppose -1 - 2 = -w. Let u = w + -1. Let d(q) = -113*q**2 + 97*q + 25. Let t(y) = u*d(y) - 9*k(y). Factor t(s).
2*(s - 1)*(13*s + 2)
Let q(a) be the first derivative of 0*a - 16/3*a**3 + 19 + a**4 + 6*a**2. Factor q(j).
4*j*(j - 3)*(j - 1)
Let s = 63/542 + 104/271. Factor 0*m + s*m**2 + 0 + 0*m**3 - 1/2*m**4.
-m**2*(m - 1)*(m + 1)/2
Let z(v) = -v**2 + 1. Let g(x) = 4*x**2 - 6*x - 6. Suppose d + 24 = -3*d. Let y(t) = d*z(t) - g(t). Factor y(h).
2*h*(h + 3)
Let m(j) = -6*j - 1. Let t be m(-1). Suppose 5*x + 11 = 5*d - 4, t*d + 4*x = 15. Factor p**2 + 3*p**2 - 2*p**3 + p**d - 6*p**2.
-p**2*(p + 2)
Let t(q) be the second derivative of -q**5/100 - 3*q**4/5 - 72*q**3/5 + 45*q**2/2 + 3*q. Let p(u) be the first derivative of t(u). Find f such that p(f) = 0.
-12
Let r be 3 + -8 - (2860/(-12))/5. Factor 8*g**2 + r + 32*g + 2/3*g**3.
2*(g + 4)**3/3
Find k such that -910/9*k**3 - 52/3*k**2 - 100*k**4 - 250/9*k**5 + 152/9*k + 16/3 = 0.
-2, -1, -3/5, -2/5, 2/5
Let g(q) be the first derivative of 180*q + 30*q**2 + 32 + 5/3*q**3. Let g(t) = 0. What is t?
-6
Let w(h) be the first derivative of h**3/6 + 85*h**2/4 + 42*h + 679. Let w(x) = 0. Calculate x.
-84, -1
Suppose 23*a + 1900 = 1946. Factor -6/5 + 1/5*g + 1/5*g**a.
(g - 2)*(g + 3)/5
Let r be 4/22 + 75/11. Factor 5*h - 3*h**2 - 4*h - 9 - r*h - 6*h.
-3*(h + 1)*(h + 3)
Let u(t) = t**4 + t**3 - 2*t**2 - t - 1. Let j(k) = -4*k**5 + 252*k**4 - 4304*k**3 + 27160*k**2 + 4308*k - 27460. Let y(m) = j(m) - 24*u(m). Factor y(f).
-4*(f - 19)**3*(f - 1)*(f + 1)
Let q(u) = u**5 - 2*u**4 - 19*u**3 + 28*u**2 - 16*u + 4. Let j(a) = -a**5 + 3*a**4 + 19*a**3 - 28*a**2 + 17*a - 5. Let t(l) = -4*j(l) - 5*q(l). Factor t(w).
-w*(w - 2)*(w - 1)**2*(w + 6)
Let r be (2/7 + 15/21)*5. Let z be r*1 + -4 + 3. What is v in -5/2*v**3 + 4*v - 1/2*v**2 - 2 + 1/2*v**5 + 1/2*v**z = 0?
-2, 1
Suppose 5*x + k = 173, 0*k = -4*k + 12. Determine i, given that -x*i**2 - 124*i**3 + 23*i + 9*i + 134*i**3 - 8 = 0.
2/5, 1, 2
Suppose -5*d = -3*v - 23, -2*v = 4*d + 7 - 21. Suppose 2*b + 4 = 0, -d*y = 3*b - 2*b + 2. Find w, given that -2/3*w**4 + 4/3*w**3 + 0 + y*w - 2/3*w**2 = 0.
0, 1
Let g(o) = -27*o**2 + 297*o + 3. Let u be g(11). Factor -7/3*w + 2/3 + 7/3*w**u + 3*w**4 - 11/3*w**2.
(w - 1)*(w + 1)**2*(9*w - 2)/3
Suppose 0 = -3*f + 4 + 2. Let z be 9/(-27)*(-2 - -2 - f). Factor 0*i - 2/3*i**4 - z*i**2 + 0 + 4/3*i**3.
-2*i**2*(i - 1)**2/3
Let c = 84 - 46. Find n, given that c*n**3 - 47*n**3 + 9*n**5 + 0*n - 3*n**2 + 3*n**4 + 0*n = 0.
-1, -1/3, 0, 1
Let v(x) = 2*x - x**2 - 4 - 2*x - 4*x. Let b(s) = -s**2 - 4*s - 4. Let l = -43 + 37. Let j(t) = l*b(t) + 5*v(t). Let j(y) = 0. What is y?
-2
Let k(z) be the third derivative of 2*z**7/525 - 49*z**6/150 + 51*z**5/5 - 3179*z**4/30 - 19652*z**3/15 - 4*z**2 - 87. Solve k(m) = 0 for m.
-2, 17
Suppose -8*d - 28 + 76 = 0. Let s be 1*((-4)/3)/((-28)/d). Factor 2*j**3 + 0 - s*j + 8/7*j**4 + 4/7*j**2.
2*j*(j + 1)**2*(4*j - 1)/7
Let q(v) be the second derivative of 4/3*v**3 + 0 - 2/15*v**6 + 0*v**2 + 4/5*v**5 - 5/3*v**4 - 9*v. Factor q(b).
-4*b*(b - 2)*(b - 1)**2
Let f(c) be the third derivative of -6*c**2 - 2/105*c**7 + 0*c + 0 + 1/15*c**5 + 1/30*c**6 - 1/84*c**8 + 0*c**3 + 0*c**4. Factor f(t).
-4*t**2*(t - 1)*(t + 1)**2
Let i(s) be the first derivative of -4*s**3/3 - 220*s**2 - 12100*s + 201. Let i(t) = 0. What is t?
-55
Suppose -80*i = -83*i + 9. Find u such that 1/2*u**i + 0 - 1/2*u**2 - u = 0.
-1, 0, 2
Let w(x) be the first derivative of x**2/2 - 10*x + 4. Let o be w(13). Let o*n**2 - 2*n**2 - 1 + 2*n - n - 1 = 0. What is n?
-2, 1
Let c(b) be the second derivative of 0*b**3 - 5*b + 0*b**2 + 0 + 1/10*b**6 + 0*b**5 - 1/4*b**4. Factor c(t).
3*t**2*(t - 1)*(t + 1)
What is t in -5*t**3 - 5319*t + 20*t**2 + 10661*t - 5317*t = 0?
-1, 0, 5
Factor 1 - 5*x**4 - 7303*x - 1501*x - 1 - 2181*x - 195*x**3 - 2535*x**2.
-5*x*(x + 13)**3
Let i(c) be the second derivative of c**4/4 - 2*c**3 - 15*c**2/2 - 142*c. Find r such that i(r) = 0.
-1, 5
Let m be ((-17)/(-11356))/((-3)/(-12)). Let a = 1331/835 + m. Find h such that 0 + a*h**3 + 0*h**2 + 0*h - 28/5*h**4 + 4*h**5 = 0.
0, 2/5, 1
Solve -5*w + 60 - 15*w - 2*w**2 - 4*w**2 + w**2 = 0 for w.
-6, 2
Find n such that -19*n**4 + 32*n**4 - 23*n**4 + 56*n**2 + 72*n - 272*n**2 + 94*n**3 = 0.
0, 2/5, 3, 6
Let j(b) = 31*b**3 + 2*b**2 + 5*b + 4. Let d be j(-1). Let p be 12/15 - (-12)/d. Suppose 0*m**2 + 0 + 2/5*m - p*m**3 = 0. What is m?
-1, 0, 1
Let t(g) be the second derivative of g**7/840 + g**6/180 - g**5/120 - g**4/12 + 3*g**3 + 14*g - 1. Let u(x) be the second derivative of t(x). Factor u(a).
(a - 1)*(a + 1)*(a + 2)
Let w(f) = -f - 1. Let v(r) = r**3 + 4*r**2 + 9*r + 2. Let z(g) = -2*g - 26. Let q be z(7). Let i(p) = q*w(p) - 5*v(p). Factor i(a).
-5*(a - 1)*(a + 2)*(a + 3)
Let r(h) be the third derivative of -1/30*h**5 + 1/420*h**7 + 0*h**6 + 0 + 0*h**4 - 21*h**2 + 0*h + 0*h**3. Factor r(c).
c**2*(c - 2)*(c + 2)/2
Factor -4*t**4 + 3*t**2 + 8*t**4 - 2 - 3*t**3 - t + 2 - 3*t**4.
t*(t - 1)**3
Let q = 19/6 + -47/30. Let i(m) be the first derivative of -6/5*m**2 - 1 - q*m - 4/15*m**3. Suppose i(p) = 0. What is p?
-2, -1
Let h(l) be the first derivative of 4*l**3/3 - 2*l - 2. Let t(v) = v**2 - 1. Let o(m) = h(m) - 2*t(m). Let o(c) = 0. What is c?
0
Let n(u) be the second derivative of 0*u**3 + 7*u + 1/36*u**4 + 0 + 0*u**2. Factor n(f).
f**2/3
Find u, given that 32/3*u**2 + 14/3*u**3 + 0 + 2/3*u**4 + 8*u = 0.
-3, -2, 0
Let a(q) be the first derivative of -17*q**2 - 4/5*q**5 - 13/2*q**4 - 8*q + 51 - 16*q**3. Determine h, given that a(h) = 0.
-4, -1, -1/2
Let z(j) be the second derivative of 0*j**3 + 0 - 5/42*j**7 + 1/6*j**6 - 5/12*j**4 + 0*j**2 - 10*j + 1/4*j**5. Factor z(h).
-5*h**2*(h - 1)**2*(h + 1)
Let r(n) be the third derivative of 8/3*n**3 + 0*n + 12*n**2 + 1/30*n**6 + 0*n**4 + 0 - 1/5*n**5. What is p in r(p) = 0?
-1, 2
Let l(k) = 7*k**3 - k**2 - 5*k + 3. Let g = 36 + -55. Let y = -18 - g. Let u(w) = w**3 + w**2 + w + 1. Let p(z) = y*l(z) - 3*u(z). Factor p(d).
4*d*(d - 2)*(d + 1)
Let o(j) be the second derivative of -j**5/4 - 5*j**4/2 + 25*j**3/2 - 20*j**2 - 86*j. Let o(k) = 0. Calculate k.
-8, 1
Let b(u) be the second derivative of -u**4/20 + 41*u**3/5 - 402*u. Find f such that b(f) = 0.
0, 82
Let m(t) be the second derivative of 8*t - 1/195*t**6 - 1/65*t**5 + 0*t**2 - 1/78*t**4 + 0 + 0*t**3. Solve m(x) = 0.
-1, 0
Let g(f) be the first derivative of -19 + 31/12*f**4 + 9/2*f**2 + 20/3*f**3 - 2/3*f. Factor g(n).
(n + 1)**2*(31*n - 2)/3
Let i = 1/47 - 475/20116. Let b = 4277/1284 - i. Factor 2*f**4 + 4/3*f**3 - b*f**5 + 0*f + 0*f**2 + 0.
-2*f**3*(f - 1)*(5*f + 2)/3
Suppose 6*m - m = 3*m. Let r be (3 + -8 + 6)*m. Solve -2/3*g - 1/3*g**2 + r = 0 for g.
-2, 0
Let 3*v**3 - 15 - 243/4*v - 9/4*v**2 = 0. What is v?
-4, -1/4, 5
Let n be (9 - 19 - -10 - -6) + -6. Suppose 14/5*r**3 + 2/5*r**5 + 0*r + 2*r**4 + n + 6/5*r**2 = 0. Calculate r.
-3, -1, 0
Let y(n) = -n**4 - 1. Let c(t) = t**4 + 8*t**3 - 6*t**2 - 8*t + 11. Let s(l) = 2*c(l) + 6*y(l). Solve s(z) = 0.
-1, 1, 2
Factor 3*k**3 - 3*k - k**4 - 7*k**4 - 2*k**2 - k**2 + 11*k**4.
3*k*(k - 1)*(k + 1)**2
Suppose 0*k - 1/4*k**4 + 0 - 1/4*k**2 - 1/2*k**3 = 0. Calculate k.
-1, 0
Let r(a) be the first derivative of 38 - 2/9*a**3 - 4/9*a**2 + 1/9*a**4 + 8/9*a + 2/45*a**5. Factor r(z).
2*(z - 1)**2*(z + 2)**2/9
Let x be ((-4)/12)/(10 + 455/(-45)). Factor 2*a**x - 1/2*a**4 - 3/2*a**2 - 2*a + 2.
-(a - 2)**2*(a - 1)*(a + 1)/2
Let j(s) = s**2 + s. Let f be ((-12)/(-8))/(6/8). Suppose f = 4*i + 6. Let z(g) = -5*g**2 - 5*g + 4. Let x(l) = i*z(l) - 3*j(l). Factor x(w).
2*(w - 1)*(w + 2)
Suppose 138*u**2 - 3 + 5*u + 14*u + 29*