 = 25*x**4 + 85*x**3 - 230*x**2 + 270*x + 30. Let n(u) = 30*j(u) + t(u). What is m in n(m) = 0?
0, 3, 4
Let i(t) = -t**3 + 31*t**2 + 2. Let r be i(31). Factor b**2 - 2*b**2 - 36*b - 48 + 8 + 5*b**r.
4*(b - 10)*(b + 1)
Solve 435*h**2 + 280 - 285*h - 863*h**2 + 433*h**2 = 0 for h.
1, 56
Let n be (-144)/4*3/(-6). Determine b, given that -48*b**2 - 4*b**4 + 58*b + 24*b**3 - n*b - 101 + 89 = 0.
1, 3
Let u = -4166 + 687392/165. Let x(j) be the third derivative of 0*j**3 + 1/33*j**4 + u*j**5 - 13/220*j**6 + 0 - j**2 + 12/385*j**7 + 0*j. Factor x(q).
2*q*(3*q - 2)**2*(4*q + 1)/11
Let 16*u**2 - 384*u + 377*u - 7*u**2 - 2 = 0. Calculate u.
-2/9, 1
Let m(j) be the second derivative of -j**7/98 - 2*j**6/35 - 3*j**5/28 - j**4/14 - 70*j. Factor m(u).
-3*u**2*(u + 1)**2*(u + 2)/7
Let q(h) = 2*h**4 - 6*h**3 + 2*h**2 + 4*h - 2. Let z(i) = -7*i + 3 + 4*i + 2*i - 2. Let w(c) = -q(c) + 2*z(c). Let w(k) = 0. What is k?
-1, 1, 2
Let x be (-6)/(-15) - (-4 - 10/(-25)). Factor 1 - 116*h**3 + 7*h**4 + 49 - 2*h**5 + 212*h**2 + 19*h**x - 170*h.
-2*(h - 5)**2*(h - 1)**3
Let d(j) be the second derivative of 3/14*j**3 + 0 + 31*j - 3/7*j**2 - 1/28*j**4. Factor d(m).
-3*(m - 2)*(m - 1)/7
Let k(r) = -r**2 - r - 1. Let f(s) = -3*s**2 - 17*s + 30. Let y(v) = -f(v) + 2*k(v). Let i be y(-17). Factor -2/7*l**3 + 2/7*l - 2/7*l**i + 2/7.
-2*(l - 1)*(l + 1)**2/7
Suppose 2*h - 8 = -2*h + 5*s, 5*s - 8 = -4*h. Suppose 3*x - h*k - 5 = 0, -x + 2*k = x. Factor -20*z**4 + 11*z**4 + 5*z**2 - x*z**2 + 6*z**3.
-3*z**3*(3*z - 2)
Let j(f) = f**2 - 2*f + 1. Let q be j(1). Factor -20 + q - 5*g + 5*g**2 - 8*g + 28*g.
5*(g - 1)*(g + 4)
Let k(v) be the first derivative of 0*v + 9/4*v**4 + 21/5*v**5 - 3*v**3 + 3/2*v**6 + 13 - 3*v**2. Factor k(j).
3*j*(j + 1)**3*(3*j - 2)
Let d be 8 + (2 + -22)/5. Let r be (d/30)/(5/15). Factor -2/15*z**2 - 4/15 + r*z.
-2*(z - 2)*(z - 1)/15
Let l = -791 - -791. Let g(d) be the third derivative of l*d + 1/10*d**4 + 0*d**3 - 6*d**2 + 2/25*d**5 + 1/40*d**6 + 0 + 1/350*d**7. Let g(m) = 0. Calculate m.
-2, -1, 0
Let g be ((-153)/(-34))/(17 - 8). What is d in -g*d + 1/2*d**2 + 0 = 0?
0, 1
Let p(r) = 21*r**4 + 419*r**3 + 2407*r**2 + 2100*r + 499. Let u(n) = n**4 - n**3 + 2*n**2 - 1. Let k(m) = -p(m) + u(m). Factor k(o).
-5*(o + 10)**2*(2*o + 1)**2
Let p(q) = 7*q + 1. Let n(g) = 8*g + 1. Let o(t) = 3*n(t) - 4*p(t). Let u be o(-1). Factor 7*s**2 + 2*s**3 - u*s**2 + 2*s**3.
4*s**2*(s + 1)
Let u(w) be the second derivative of -w**4/60 - w**3/3 + 142*w - 1. Factor u(k).
-k*(k + 10)/5
Let a(p) be the first derivative of -2*p**2 + 0*p - 7 + 0*p**3 + 2*p**4 - 2/3*p**6 + 0*p**5. Factor a(c).
-4*c*(c - 1)**2*(c + 1)**2
Let v(l) = -178*l**3 - 512*l**2 + 727*l - 37. Let h(c) = c**3 - c**2 + c - 1. Let u(x) = -3*h(x) - v(x). Factor u(f).
5*(f - 1)*(f + 4)*(35*f - 2)
Suppose -134*q = -161*q. Let v(f) be the first derivative of f**3 + 8 + q*f - 1/4*f**4 - f**2. Factor v(g).
-g*(g - 2)*(g - 1)
Let k(y) be the third derivative of y**6/120 + 151*y**5/60 + 1925*y**4/8 + 1875*y**3/2 + 5*y**2 - 12*y. Factor k(l).
(l + 1)*(l + 75)**2
Let y = 339 - 574. Let f = 2119/9 + y. Determine l, given that f + 2/9*l - 2/3*l**2 = 0.
-2/3, 1
Let -12*t**4 + 8*t**5 + 21*t - 5*t**5 + 67*t**2 - 30 - 22*t**3 - 25*t**2 - 13*t**3 + 11*t**3 = 0. What is t?
-2, -1, 1, 5
Let a(c) = -13*c**3 - 13*c**2 - 11. Let o be ((-3)/2)/((-15)/(-220)). Let y(q) = q**3 + q**2 + 1. Let p(f) = o*y(f) - 2*a(f). Factor p(x).
4*x**2*(x + 1)
Let q(b) = -11*b**4 - 4*b**3 + 16*b**2 + 62*b. Let k(z) = -27*z**4 - 8*z**3 + 32*z**2 + 123*z. Let i(x) = -2*k(x) + 5*q(x). Factor i(j).
-j*(j - 4)*(j + 4)**2
Factor -116 + 3*n**3 + 315*n + 261*n + 72*n**2 + 1652.
3*(n + 8)**3
Let g(d) be the third derivative of -1/315*d**7 + 1/45*d**5 - 1/72*d**4 - 1/9*d**3 - 1/1008*d**8 + 0*d + 1/180*d**6 + 0 - 15*d**2. What is s in g(s) = 0?
-2, -1, 1
Find x such that -10/7 + 3/7*x + 1/7*x**2 = 0.
-5, 2
Let k = 2045 + -2043. Let q(o) be the first derivative of -3 - 9/7*o**4 + 44/35*o**5 + 0*o + 4/21*o**3 + 2/7*o**k - 8/21*o**6. Find i such that q(i) = 0.
-1/4, 0, 1
Let u(k) be the third derivative of -k**5/15 - 13*k**4 + 160*k**2 + k. Let u(v) = 0. What is v?
-78, 0
Let s(l) be the third derivative of 0 + 0*l - 4*l**2 + 49/3*l**3 - 1/420*l**6 - 7/4*l**4 + 1/10*l**5. Find n such that s(n) = 0.
7
Let f(v) be the second derivative of 19*v - 1/12*v**3 + 1/6*v**2 - 1/30*v**5 - 7/36*v**4 + 1/36*v**7 + 1/15*v**6 + 0. Let f(x) = 0. Calculate x.
-1, 2/7, 1
Let g = 2 - -3. Suppose -4*q + 3*q - 5 = 0, 5*r + 4*q + 20 = 0. Let 2*c**g - 16/9*c**2 + 2/9*c + r + 44/9*c**3 - 16/3*c**4 = 0. Calculate c.
0, 1/3, 1
Let l(g) = 3*g**4 - 2*g**3 + 2*g**2 + 2*g - 2. Let h(y) = -7*y**4 + 5*y**3 - 5*y**2 - 5*y + 5. Let f(m) = -6*h(m) - 15*l(m). Suppose f(z) = 0. What is z?
0
Let n be (1/1)/(2/4). Factor 9*r**2 + r**4 + 9*r**3 + r**3 + n + 7*r - 5*r**3.
(r + 1)**3*(r + 2)
Let o(h) be the second derivative of 1/3*h**4 + 20*h + 0 - 2*h**2 - 4/5*h**5 + 8/3*h**3. Factor o(q).
-4*(q - 1)*(q + 1)*(4*q - 1)
Factor -1/4*n**2 + 2*n - 3.
-(n - 6)*(n - 2)/4
Let s(u) be the first derivative of -14*u**4 + 52*u**3/3 + 2*u**2 + 449. Factor s(o).
-4*o*(o - 1)*(14*o + 1)
Let m = 183 + 57. Let u = m + -700/3. Solve 5 + u*j + 5/3*j**2 = 0.
-3, -1
Let -a**4 - 49 + 69 + 55*a**2 + 8*a**4 + 5*a**5 - 22*a**4 - 60*a - 5*a**3 = 0. What is a?
-2, 1, 2
Suppose 0 = 11*n - 5*n. Suppose -i - i - i = n. Find g, given that 0*g + i*g**3 + 2/7*g**4 + 2/7*g**5 + 0 + 0*g**2 = 0.
-1, 0
Let u = 12689/69608 + -3/6328. Solve -2/11*l**2 - u*l + 2/11*l**3 + 2/11 = 0.
-1, 1
Let f(x) = x - 1. Let v be f(4). Suppose 2 = v*b - 7. Factor -5*r**2 + 1 + b*r**2 + 1.
-2*(r - 1)*(r + 1)
Let l(q) be the third derivative of q**6/40 - q**5 + 37*q**4/8 - 9*q**3 - 315*q**2. Factor l(x).
3*(x - 18)*(x - 1)**2
Let l be -12*9/720*-4. Solve 0 + 9/5*o**4 + 0*o + l*o**2 - 9/5*o**3 - 3/5*o**5 = 0.
0, 1
Let c(n) be the third derivative of -7*n**5/180 + 247*n**4/72 - 35*n**3/9 + 20*n**2. Factor c(a).
-(a - 35)*(7*a - 2)/3
Determine r so that -24/5 - 53/5*r**2 - 16/5*r**3 - 1/5*r**4 - 62/5*r = 0.
-12, -2, -1
Let w = 2018/7 - 288. Let c(x) be the first derivative of w*x + 4 - 2/21*x**3 + 0*x**2. Let c(k) = 0. Calculate k.
-1, 1
Let t(p) be the third derivative of p**5/100 + 9*p**4/20 + 17*p**3/10 - 6*p**2 + 2*p. Determine r, given that t(r) = 0.
-17, -1
Let t be 2/(-31) - (469/(-62) - -6). Factor 3/2 + t*n**5 + 3/2*n - 3*n**2 + 3/2*n**4 - 3*n**3.
3*(n - 1)**2*(n + 1)**3/2
Let r(j) be the third derivative of -128/15*j**3 - 97/75*j**5 + 3/25*j**6 + 0*j + 0 + 27*j**2 + 24/5*j**4 - 2/525*j**7. What is z in r(z) = 0?
1, 8
Suppose -w + 2*j = w - 8, -5*w = 2*j - 13. Let p(i) = i**3 + 3*i**2 - 4*i + 3. Let v be p(-4). Factor 4*d**2 + 0*d**v - 5*d + 0*d + w*d - 2*d**3.
-2*d*(d - 1)**2
Let g be 25/10*(-16)/(-10). Let i(q) be the third derivative of -9/20*q**5 + 0*q + 1/2*q**3 - 2/35*q**7 + 11/40*q**6 - 5*q**2 + 1/8*q**g + 0. Factor i(d).
-3*(d - 1)**3*(4*d + 1)
Let 35*g - 16*g**3 - 10*g**2 - 19*g**3 + 55*g**2 - 50 + 5*g**4 = 0. What is g?
-1, 1, 2, 5
Factor -417*y - y**4 + 13*y**5 + 436*y - 26*y**2 - 14*y**5 + 14*y**3 - 5.
-(y - 1)**4*(y + 5)
Let s(t) = -4*t**2 + t + 6. Let o be ((-6)/(24 + -6))/(1/9). Let w(b) = 9*b**2 - 3*b - 13. Let m(q) = o*w(q) - 7*s(q). Factor m(i).
(i - 1)*(i + 3)
Let l = 877 - 875. Factor -5/3*f**l + 10/3*f + 5.
-5*(f - 3)*(f + 1)/3
Let g(o) be the first derivative of -o**5/50 + o**4/8 - o**3/30 - 21*o**2/20 + 9*o/5 - 60. Suppose g(b) = 0. Calculate b.
-2, 1, 3
Let n(s) be the second derivative of -s**4/84 - 5*s**3/21 + 11*s**2/14 + 186*s. Factor n(m).
-(m - 1)*(m + 11)/7
Solve -15*u**3 + 3/5*u**4 + 429/5*u**2 + 0 + 507/5*u = 0.
-1, 0, 13
Let z(o) be the first derivative of o**3/6 - 5*o**2/4 + 26. Factor z(f).
f*(f - 5)/2
Let u(s) be the second derivative of s**6/35 - 4*s**5/35 + s**4/7 - s**2/7 - 180*s. Factor u(k).
2*(k - 1)**3*(3*k + 1)/7
Let v(t) be the third derivative of 1/8*t**6 - 2*t**2 + 5/336*t**8 + 0*t**3 + 0*t + 1/12*t**5 + 0*t**4 + 1/14*t**7 - 3. Factor v(f).
5*f**2*(f + 1)**3
Let s = 724 - 10856/15. Factor -2/15*i**2 - 2/5*i - s.
-2*(i + 1)*(i + 2)/15
Let i(n) be the first derivative of 0*n**4 + 0*n + 5/3*n**3 - 13 + 0*n**2 - n**5. Factor i(z).
-5*z**2*(z - 1)*(z + 1)
Let j(r) be the second derivative of 0 + 23*r + 30*r**2 - 16/