 n?
1, 5
Let f be -1*3/(-15)*30*(-7)/(-84). Solve 0 - f*t + t**2 = 0 for t.
0, 1/2
Let c be 3 + 4/(-8 - -4). Let g(a) be the first derivative of 0*a + 0*a**3 + 1 + 0*a**c + 1/24*a**4 - 1/30*a**5. Factor g(z).
-z**3*(z - 1)/6
Let x(j) = 9*j**2 - 18*j + 27. Let f(y) = -5*y**2 + 10*y - 14. Let a(i) = -11*f(i) - 6*x(i). Let a(w) = 0. Calculate w.
-2, 4
Suppose 5*c - 92 - 88 = 0. Let s be 26/c - 11/22. Factor 0*i + 0 + 0*i**3 + 2/9*i**4 - s*i**2.
2*i**2*(i - 1)*(i + 1)/9
Suppose -50 = -4*x - 38. Let q(a) be the second derivative of 0*a**2 - a + 0*a**x + 0*a**6 + 1/10*a**5 + 0 - 1/9*a**4 - 1/63*a**7. What is z in q(z) = 0?
-2, 0, 1
Let a be 2/(-16)*-12 - 43/(-2). Find i such that a*i - 5*i - 5*i**2 + 2*i - 20 = 0.
2
Let g(c) be the second derivative of -c**7/280 - 13*c**6/60 - 169*c**5/40 + 8*c**3 + 30*c. Let p(k) be the second derivative of g(k). Let p(n) = 0. Calculate n.
-13, 0
Let v(g) be the first derivative of g**4/24 + g**3/9 - 13*g**2/12 + 5*g/3 - 932. What is s in v(s) = 0?
-5, 1, 2
Let f = 5177/35 + -1027/7. Factor 13/5*i**2 + f*i**3 + 4/5 + 1/5*i**4 + 12/5*i.
(i + 1)**2*(i + 2)**2/5
Let j(i) be the first derivative of -3*i**4/10 + 11*i**3/5 - 3*i**2 - 24*i/5 + 7. Factor j(y).
-3*(y - 4)*(y - 2)*(2*y + 1)/5
Suppose 14*v - 2*v - 24 = 0. Factor -4*i**4 + 18*i + 12*i**3 - 66*i + 32 - 49*i**v + 57*i**2.
-4*(i - 2)**2*(i - 1)*(i + 2)
Let d(g) = -4*g**4 - g**3 + 3*g**2 + g - 5. Let k(h) = 4*h**4 + 2*h**3 - 3*h**2 - 2*h + 3. Let i(j) = 2*d(j) + 3*k(j). Find v, given that i(v) = 0.
-1, -1/2, 1
Let t(q) = -51*q**4 - 450*q**3 + 30*q**2 + 429*q + 42. Let v(x) = 5*x**4 + 45*x**3 - 3*x**2 - 43*x - 4. Let h(u) = 2*t(u) + 21*v(u). Factor h(w).
3*w*(w - 1)*(w + 1)*(w + 15)
Let q(s) = -3*s + 13. Let p be q(3). Suppose -z + 9 = p*h, -2*z = -4*h + 3*z + 3. Solve -1/4*k**h - 1 + k = 0.
2
Let q(u) = 9*u**3 - 27*u**2 + 26*u - 4. Let v(t) = -125*t**3 + 380*t**2 - 365*t + 55. Let m(l) = 55*q(l) + 4*v(l). Determine r so that m(r) = 0.
0, 1, 6
Let h be 4/(-26) + 1120/520. Factor -r + 5/2*r**h + 0.
r*(5*r - 2)/2
Let s be (-19 - -6) + 1071/81. Factor 0 + 2/9*z**2 + 0*z - s*z**4 + 0*z**3.
-2*z**2*(z - 1)*(z + 1)/9
Let k be (18/(-33))/(-30 + 3608/121). Factor 2/3*b + 0 + 1/3*b**4 - 1/3*b**2 - 2/3*b**k.
b*(b - 2)*(b - 1)*(b + 1)/3
Let a(n) be the first derivative of -n**6/2 + 6*n**5 - 12*n**4 - 2*n**3 + 51*n**2/2 - 24*n - 498. Find g, given that a(g) = 0.
-1, 1, 8
Suppose 13*d = 16*d + 27*d. Solve -1/7*y**5 + d - 1/7*y**3 + 3/7*y**4 + 2/7*y - 3/7*y**2 = 0.
-1, 0, 1, 2
Let q(r) be the second derivative of -1/72*r**4 + 1/180*r**6 + 1/60*r**5 + 17*r - 1/18*r**3 + 0 + 0*r**2. Factor q(a).
a*(a - 1)*(a + 1)*(a + 2)/6
Let 38/3*t - 1/3*t**4 + 10/3*t**3 + 13/3 + 12*t**2 = 0. Calculate t.
-1, 13
Let l(k) be the third derivative of -1/20*k**5 - 2*k**3 + 16*k**2 + 0*k + 0 + 1/2*k**4. Solve l(j) = 0.
2
Let l(u) = -5*u**2 - 18*u - 49. Suppose 0 = -3*i + 8*i - g - 99, -2*i + 3*g + 37 = 0. Let m(r) = r**2 + r. Let j(f) = i*m(f) + 5*l(f). Let j(b) = 0. What is b?
-7
Let n be 12/(-33) + 52/22. Let q(k) be the first derivative of 0*k - 1/14*k**4 + n + 0*k**2 + 0*k**3. Find i, given that q(i) = 0.
0
Let a(t) = -t**3 - 7*t + 1. Let g(h) = 11*h**3 - 24*h**2 + 85*h - 9. Let x(c) = 18*a(c) + 2*g(c). Find o, given that x(o) = 0.
0, 1, 11
Let z(m) be the third derivative of -7*m**8/1440 + m**7/270 - m**6/1080 - 13*m**4/12 + 28*m**2. Let h(j) be the second derivative of z(j). Factor h(n).
-2*n*(7*n - 1)**2/3
Factor 0*u - 1/2*u**5 + 0 - 22*u**4 + 0*u**2 - 242*u**3.
-u**3*(u + 22)**2/2
Solve 0 + 0*f + 1/5*f**3 - 53/5*f**2 = 0.
0, 53
Factor -33/4*g - 1/4*g**3 + 9/2*g**2 + 4.
-(g - 16)*(g - 1)**2/4
Let q = 61 - 62. Let n(j) = -2*j**2 + 2*j - 2. Let l(r) = -r - 1. Let k(x) = q*n(x) + 2*l(x). Suppose k(z) = 0. Calculate z.
0, 2
Let g(u) be the second derivative of -u**7/840 + u**6/20 - 9*u**5/10 - 17*u**4/12 - 25*u. Let k(s) be the third derivative of g(s). Let k(z) = 0. What is z?
6
Factor 3*u**3 + 48*u + 64 - 84 - 16*u**2 - 14*u - u**3.
2*(u - 5)*(u - 2)*(u - 1)
What is y in -10 + y**4 + 519*y**2 + 14 - 524*y**2 = 0?
-2, -1, 1, 2
Let u(w) = 88*w - 264. Let m be u(3). Let x(l) be the first derivative of 0*l**2 + 0*l**4 + 1/18*l**6 + 12 + 0*l**3 - 1/15*l**5 + m*l. Let x(o) = 0. What is o?
0, 1
Let d(c) be the first derivative of -c**6/30 + c**5/3 - 7*c**4/6 + 2*c**3 - 3*c**2 - 5. Let i(f) be the second derivative of d(f). Factor i(o).
-4*(o - 3)*(o - 1)**2
Suppose 696*h - 690*h = 0. Find q, given that 1/3*q**3 + 0 + h*q**2 - 1/3*q = 0.
-1, 0, 1
Suppose 11*j - 11*j = -2*j. Let i(f) be the first derivative of j*f - 3/2*f**2 - 10 - 9/4*f**4 + 3/5*f**5 + 3*f**3. Factor i(t).
3*t*(t - 1)**3
Let v(p) be the second derivative of -p**4/9 - 11*p**3/9 - 5*p**2/3 + 2*p + 1. Factor v(n).
-2*(n + 5)*(2*n + 1)/3
Let o be (128/48)/(4/6). Let g(b) = -b**4 + b**3 + b**2 - b. Let h(x) = 2*x**4 - 10*x**3 - 6*x**2 + 10*x + 4. Let i(w) = o*g(w) + h(w). Let i(n) = 0. What is n?
-2, -1, 1
Let v = -2/25 + 53/350. Let y = v - -10/7. Solve -1/2*t**3 + y*t**2 + 0 - t = 0 for t.
0, 1, 2
Suppose 2*j + 0*j - 10 = 3*d, -4*d + 4*j - 20 = 0. Let s(x) be the first derivative of -4/21*x**3 - 1/14*x**4 - 4 + d*x + 0*x**2. Let s(y) = 0. Calculate y.
-2, 0
Let s(x) = -5*x**4 + 12*x**3 + 20*x**2 - 3*x - 3. Let h(b) = -5*b**4 + 13*b**3 + 20*b**2 - 2*b - 2. Let v(d) = 3*h(d) - 2*s(d). Find p, given that v(p) = 0.
-1, 0, 4
Let r(o) be the second derivative of -o**6/55 - 27*o**5/110 + 3*o**4/2 - 35*o**3/11 + 36*o**2/11 - 2*o + 3. Factor r(t).
-6*(t - 1)**3*(t + 12)/11
Let q = -28 + 52. Let -2*f**3 - 12*f**2 - 16 - 6*f**3 + q*f + 10*f**3 = 0. Calculate f.
2
Let d(k) be the first derivative of -3*k**5/5 - 7*k**4 - 45*k**3/4 - 57*k**2/8 - 2*k + 112. Suppose d(n) = 0. Calculate n.
-8, -1/2, -1/3
Let b be 1/(((-2)/(-30))/((-14)/21)). Let w(f) = -4*f**4 + 6*f**3 + 2*f**2 + 14*f + 2. Let r(z) = -z**3 + z**2 - z - 1. Let c(g) = b*r(g) - w(g). Factor c(j).
4*(j - 1)**2*(j + 1)*(j + 2)
Let u be -1 + (-63)/(-69) + ((-39780)/(-1725))/26. Solve -u*k**3 + 4*k - 1/10*k**4 - 5/2 - 3/5*k**2 = 0.
-5, 1
Let s(x) be the first derivative of -2/3*x**3 + 1/2*x**4 + 0*x**2 + 9 + 0*x. Factor s(w).
2*w**2*(w - 1)
Let x be (-1)/(-5) - (-1 - 2058/35). Factor -x*r**2 - 5*r**4 - 40*r - 42*r - 30*r**3 + 42*r.
-5*r*(r + 2)**3
Let l be (27/(-12))/(5/((-800)/(-15))). Let x = l - -27. Let -9/7*m**2 - 27/7 - 27/7*m - 1/7*m**x = 0. Calculate m.
-3
Factor 8/11 - 40/11*n + 14/11*n**2 + 18/11*n**3.
2*(n - 1)*(n + 2)*(9*n - 2)/11
Suppose 5*n + 3*w + 8 = 30, 4*n + 3*w = 20. Determine m, given that 6*m - 47*m**2 - 38*m**2 + 77*m**2 + n = 0.
-1/4, 1
Suppose 0 = -65*i + 58*i. Let b(d) be the third derivative of 1/490*d**7 + 0*d**3 + 0 + 0*d - 1/140*d**6 + 0*d**4 + i*d**5 + 3*d**2. What is t in b(t) = 0?
0, 2
Let d(t) be the second derivative of -t**7/7560 + t**6/1080 + t**5/120 + t**4/6 - 2*t. Let z(v) be the third derivative of d(v). Factor z(h).
-(h - 3)*(h + 1)/3
Let g = -109909/5 + 21985. Suppose -g*m - 14/5*m**3 + 0 - 12*m**2 = 0. Calculate m.
-4, -2/7, 0
Let t(j) be the third derivative of j**5/105 - 8*j**4/21 + 8*j**3/3 - 3*j**2 - 9. Factor t(u).
4*(u - 14)*(u - 2)/7
Let k be 6/27 - (-4)/(-18). Let v(h) be the third derivative of 0*h**3 + 0*h**4 - 1/300*h**6 - 1/75*h**5 + 0*h - 2*h**2 + 1/525*h**7 + k. Factor v(n).
2*n**2*(n - 2)*(n + 1)/5
Factor 0 + 2*j - 25/3*j**2 + 4*j**3 + 7/3*j**4.
j*(j - 1)*(j + 3)*(7*j - 2)/3
Let y(b) be the second derivative of 0 - 9/14*b**2 + 1/7*b**3 + 1/28*b**4 + 15*b. Factor y(a).
3*(a - 1)*(a + 3)/7
Let r = -2 - -5. Let u(y) be the first derivative of -12*y**3 - r*y + 13*y**3 + 1 + 2. Determine g, given that u(g) = 0.
-1, 1
Suppose 6*o**3 + 22/3*o - 64/3*o**2 + 8 = 0. Calculate o.
-4/9, 1, 3
Factor -425/2*i - 375 - 5/2*i**3 - 40*i**2.
-5*(i + 5)**2*(i + 6)/2
Factor -30*z + 438 - 1322 + 5*z**3 + 445 + 439 + 5*z**2.
5*z*(z - 2)*(z + 3)
Suppose 0 = 5*f - h - 26, -9*h = -4*f - 13*h + 40. Let r(j) be the third derivative of 2/15*j**3 + f*j**2 + 3/4*j**5 + 1/2*j**4 + 0*j + 0. Factor r(b).
(15*b + 2)**2/5
Let z(b) be the second derivative of -24*b - 3/40*b**5 + 0*b**3 + 0*b**4 + 0 - 1/60*b**6 + 0*b**2. What is m in z(m) = 0?
-3, 0
Suppose 0 = 4*x + 5*m - 53, 3*x + 2*m - 10 - 28 = 0. Let b be 2/(-24)*(-32)/x. Factor b*o - 2/9*o**2 + 0 + 2/9*o**4 - 2/9*o*