10)/(-35))/(j/(-7)). Factor k*q**2 - 7 + 4 + 12*q - 6*q**2 - 5.
-4*(q - 2)*(q - 1)
Suppose -748*m = -2031 + 535. Factor 3/2 - 9/4*c**3 + 21/4*c**m - 19/4*c + 1/4*c**4.
(c - 6)*(c - 1)**3/4
What is i in -3/8*i**2 + 1731/4*i - 998787/8 = 0?
577
Let x(b) be the first derivative of 67 + 11/15*b**2 + 1/30*b**4 + 4/5*b + 4/15*b**3. Factor x(n).
2*(n + 1)*(n + 2)*(n + 3)/15
Let p(n) be the third derivative of n**8/84 - 8*n**7/35 - 92*n**6/15 - 736*n**5/15 - 200*n**4 - 1408*n**3/3 + 703*n**2. Solve p(c) = 0.
-4, -2, 22
Let a = -141 + 144. Factor 12*z**2 + 5 - 11*z**3 + 3 + 18*z + 21*z**a - 8*z**3.
2*(z + 1)**2*(z + 4)
Let j(r) be the third derivative of 0*r + 1/5*r**5 - 11 + 5/6*r**4 - 4/3*r**3 + r**2. Determine p, given that j(p) = 0.
-2, 1/3
Let j(l) = -115*l - 1030. Let q be j(-9). Let m(i) be the third derivative of -12*i**2 + 0 - 5/3*i**3 + 0*i - 1/12*i**q - 5/8*i**4. Solve m(c) = 0 for c.
-2, -1
Suppose 0 = -207*i + 208*i - 3. Suppose 9*k + 5*d = 7*k - 16, 0 = i*k + d - 2. What is x in -1/6*x + 0 - x**k - 3/2*x**3 = 0?
-1/3, 0
Let k(b) be the second derivative of 0 - 2*b**2 - 13/12*b**4 - 2*b**3 - 111*b - 3/10*b**5 - 1/30*b**6. Factor k(g).
-(g + 1)**2*(g + 2)**2
Let t(q) be the third derivative of -q**7/1050 + q**5/25 + 2*q**4/15 + 892*q**2. Suppose t(m) = 0. Calculate m.
-2, 0, 4
Let m(h) be the second derivative of -h + 22 - 1/42*h**4 - 22/7*h**3 - 1089/7*h**2. Let m(w) = 0. Calculate w.
-33
Let q(z) = 2*z**3 + z + 2. Let t(k) = -36*k**3 + 496*k**2 + 472*k - 40. Let y(u) = 20*q(u) + t(u). Determine p, given that y(p) = 0.
-123, -1, 0
Let o(x) be the third derivative of 0*x**3 + 1/100*x**6 + 0*x**4 - 133*x - 2*x**2 - 9/50*x**5 + 0. Suppose o(i) = 0. Calculate i.
0, 9
Suppose -87*i + 3*a = -86*i + 34, 7*i = 5*a - 46. Find j such that 0 - 10/9*j**3 - 2/3*j**i + 2/9*j**5 + 8/9*j + 2/3*j**4 = 0.
-4, -1, 0, 1
Let k = 72148/162387 + 8/54129. Factor 0 - 80/9*j**2 + 0*j - k*j**4 + 28/3*j**3.
-4*j**2*(j - 20)*(j - 1)/9
Let n(g) = -g**2 - 6*g - 1. Let o be n(-4). Let d = -907 - -912. Factor -2 + 2*k**3 - 6*k**2 - d*k + 26 + k**3 - o*k.
3*(k - 2)**2*(k + 2)
Let t be 9 + (56/224 - (4 + 39/12)). What is a in 3/2*a - 1/4*a**2 - t = 0?
2, 4
Let c(p) be the third derivative of -p**5/30 - 131*p**4/6 + 263*p**3/3 - 19*p**2 + 39. Factor c(x).
-2*(x - 1)*(x + 263)
Let g(h) = -h**4 + 57*h**3 - 454*h**2 + 1323*h - 1291. Let y(u) = 2*u**4 - 114*u**3 + 909*u**2 - 2646*u + 2583. Let q(i) = 9*g(i) + 5*y(i). Factor q(b).
(b - 48)*(b - 3)**3
Let w(r) be the first derivative of -2/9*r**3 + 14*r + 307 - 4/3*r**2. Factor w(n).
-2*(n - 3)*(n + 7)/3
Let x be (-3)/4*(-1 + -3). Let m = -467 + 535. Factor -m*v**3 + 59*v**4 + 35*v**2 - 19*v**4 - 4*v**5 - x*v**2.
-4*v**2*(v - 8)*(v - 1)**2
Let a = -34664 - -103996/3. Solve 8/3*c**2 - 2/3*c**3 - 10/3*c + a = 0 for c.
1, 2
Let i = -307 - -321. Suppose 3*s + 14 = 4*w, -s + 3*w + 1 = i. Factor -r**s - 1/2 - 5/4*r - 1/4*r**3.
-(r + 1)**2*(r + 2)/4
Let t(l) be the second derivative of 3*l**6/40 - 17*l**5/40 + l**4 - l**3 - l + 2. Let b(r) be the second derivative of t(r). Factor b(o).
3*(o - 1)*(9*o - 8)
Let q(x) be the second derivative of -x**4/24 + 271*x**3/4 - 811*x**2/2 - x + 4911. Factor q(v).
-(v - 811)*(v - 2)/2
Let f(p) be the first derivative of 3/2*p - 1/6*p**3 - 1/2*p**2 + 197. Factor f(x).
-(x - 1)*(x + 3)/2
Let m(s) be the second derivative of -s**4/9 + 944*s**3/9 - 314*s**2 - 354*s + 4. Factor m(g).
-4*(g - 471)*(g - 1)/3
Let q = 29 + -29. Let s = 16054/5 - 3206. Solve -2/15*x**3 + q + 8/5*x**2 - s*x = 0.
0, 6
Suppose 5*s + 92 - 82 = 0. Let h be ((-8)/s + 4 + -6)/3. Factor 0*p - h*p**3 + 0*p**2 + 0.
-2*p**3/3
Let n(s) be the third derivative of 2 - 1/36*s**4 + 2/9*s**3 - 1/90*s**5 + 0*s + s**2. Find p, given that n(p) = 0.
-2, 1
Factor -105 - 41*p + 33*p**2 - 128*p**3 + 125*p**3 - 28*p.
-3*(p - 7)*(p - 5)*(p + 1)
Factor 951/5 + 948/5*i - 3/5*i**2.
-3*(i - 317)*(i + 1)/5
Let z(q) be the third derivative of 0*q + 0 - 16/105*q**7 + 82/15*q**5 + 1/30*q**6 + 119*q**2 - 400/3*q**3 - 10/3*q**4 + 1/84*q**8. Let z(v) = 0. What is v?
-2, 2, 5
Let v(t) be the first derivative of -9*t**4/32 - 37*t**3/2 + 75*t**2/4 - 3525. Factor v(c).
-3*c*(c + 50)*(3*c - 2)/8
Let i(c) be the first derivative of 5*c**3/3 - 125*c**2/2 - 1100. Factor i(z).
5*z*(z - 25)
Factor 12*s + 19165*s**2 + 8*s - 19121*s**2 + 4*s**4 + 28*s**3.
4*s*(s + 1)**2*(s + 5)
Let x(i) be the third derivative of -i**8/4032 - i**7/144 - 5*i**6/72 + 3*i**5/2 + 20*i**2. Let r(q) be the third derivative of x(q). Factor r(k).
-5*(k + 2)*(k + 5)
Suppose 165*o - 159*o - 78 = 0. Let g(z) be the second derivative of o*z + 0 - 3/160*z**5 + 1/4*z**3 + 1/32*z**4 - 3/4*z**2. Factor g(d).
-3*(d - 2)*(d - 1)*(d + 2)/8
Let q(l) be the second derivative of -2*l**7/21 + 4*l**6/3 - 9*l**5/5 - 2924*l. Let q(w) = 0. Calculate w.
0, 1, 9
Let l(h) = 7*h**3 + 106*h**2 + 594*h + 894. Let x(y) = 19*y**3 + 317*y**2 + 1781*y + 2675. Let r(a) = 8*l(a) - 3*x(a). Factor r(c).
-(c + 3)**2*(c + 97)
Suppose y - 5*q + 10 - 2 = 0, -5*y = 4*q - 18. Let b be (1 + -2)/((5/(-4))/5). Factor 9*f - 4*f - y*f + b*f**3 - 7*f.
4*f*(f - 1)*(f + 1)
Let z = -39861 - -279059/7. Let 12/7*a - 2/7*a**2 + z = 0. What is a?
-2, 8
Let t = 352/107 - -4018/535. Let -6/5*g**4 + 36/5*g**3 + 0*g + 0 - t*g**2 = 0. What is g?
0, 3
Let o be -7 + (208/65 - -9) + -4. Factor -1/5*i**5 + 27/5*i - 36/5*i**2 + 54/5 + o*i**4 - 2/5*i**3.
-(i - 3)**3*(i + 1)*(i + 2)/5
Factor -48*g**2 - 8155*g**3 + 16393*g**3 - 8546*g**3 + 26*g**4.
2*g**2*(g - 12)*(13*g + 2)
Let z(s) = -3*s**2 - 5*s - 4. Let p be 7*(18 - 4*2/4). Let n = p - 114. Let f(i) = -7*i**2 - 11*i - 9. Let d(y) = n*f(y) + 5*z(y). Factor d(x).
-(x + 1)*(x + 2)
Let g(x) be the third derivative of -x**6/40 + 27*x**4/8 - 27*x**3 + x**2 + 697*x. Determine t, given that g(t) = 0.
-6, 3
Solve -3*q + 33/7*q**2 + 3/7*q**4 + 3*q**3 - 36/7 = 0.
-4, -3, -1, 1
Let t = -63/1079 + 2347/3237. Factor -26/9*g - 32/9*g**2 + 4/3 + t*g**3.
2*(g - 6)*(g + 1)*(3*g - 1)/9
Let r(w) be the third derivative of -7/4*w**4 + 1/20*w**5 + 0 + 3*w**2 + 12*w**3 - 6*w. Factor r(l).
3*(l - 12)*(l - 2)
Let f(b) = -4*b + 7*b + 33*b - 202. Let m(r) = r**2 + 34*r - 203. Let h = 2130 + -2132. Let o(a) = h*m(a) + 3*f(a). Factor o(v).
-2*(v - 10)**2
Suppose 3*z - 4*h = 28, -5*z - 7*h + 35 = -12*h. Find c, given that -4*c**2 - 11/4*c**4 + z + c - 31/4*c**3 = 0.
-2, -1, 0, 2/11
Suppose -3*i + 56 = 4*i. Suppose -g + 10 = i. Solve 2*b - 8 - 2*b**g - 4 - 12*b = 0.
-3, -2
Let k(z) = z**2 - 34*z - 550. Let j be k(46). Let d(n) be the second derivative of 1/3*n**4 - 8*n + 0 + 0*n**3 + 0*n**j. Factor d(w).
4*w**2
What is t in 4*t**4 + 2/7*t**5 + 120/7*t - 16*t**2 - 38/7*t**3 + 0 = 0?
-15, -2, 0, 1, 2
Let x(z) be the second derivative of -z**7/42 - 7*z**6/10 + 21*z**5/4 + 2161*z**4/12 - 2108*z**3 + 5202*z**2 + 183*z + 11. What is w in x(w) = 0?
-17, 1, 6
Let p(y) = 4*y**2 + 10*y - 12 + 8*y - y + y - 3*y**2. Let r(v) = 2*v**2 + 35*v - 20. Let c(f) = 5*p(f) - 3*r(f). Suppose c(g) = 0. What is g?
-15, 0
Let u(m) = -7687*m - 252 + 1002 + 7731*m. Let w be u(-17). Find x such that 2/7*x**3 + 18/7 - 34/7*x + 2*x**w = 0.
-9, 1
Let g(t) = 8*t**2 + 3 + t**3 - 2 + 4 - 6*t. Let d be g(-7). Factor 2*w**3 - 2*w - 96 + d.
2*w*(w - 1)*(w + 1)
Let i = -4957 - -4963. Factor 24*u - i*u**3 + 6 - 3/2*u**2.
-3*(u - 2)*(u + 2)*(4*u + 1)/2
Factor -249*o**3 - 2713 - 2710 + 5921 + 3*o**4 - 9*o**2 + 741*o.
3*(o - 83)*(o - 2)*(o + 1)**2
Suppose -2/7*q**2 - 32/7 + 34/7*q = 0. Calculate q.
1, 16
Find y such that 0 - 438*y**2 - 4816/11*y**3 - 2/11*y = 0.
-1, -1/2408, 0
Let a(m) be the third derivative of m**6/72 + m**5/90 - 7*m**4/8 + 2*m**3 - 1286*m**2. Factor a(o).
(o - 3)*(o + 4)*(5*o - 3)/3
Suppose -2*x + 16 = -3*b + 2*x, -2 = -2*x. Let z = 7 + b. Suppose 2/17*i**z + 6/17 - 2/17*i - 6/17*i**2 = 0. What is i?
-1, 1, 3
Let q(o) be the second derivative of 11*o + 0*o**3 + 164/105*o**6 + 0 + 0*o**2 + 5/21*o**4 - 8/147*o**7 - 23/20*o**5. What is b in q(b) = 0?
0, 1/4, 20
Let g be (2 - (-26)/(-14))*498330/45765. Factor -1/9*b**4 + 0 - 13/9*b**2 + g*b**3 + 0*b.
-b**2*(b - 13)*(b - 1)/9
Let r = -233 + 235. Factor w**r + 56*w - 30*w - 1 - 27*w + w**3.
(w - 1)*(w + 1)**2
Let o be (-33)/15 + (-16766)/(-1010). Factor o - 3/5*i**2 - 69/5*i.
-3*(i - 1)*(i + 24)/5
Let o(t) = -38