v + 2)/3
Let j(g) = -12*g**4 - 133*g**3 - 325*g**2 - 158*g + 175. Let d(f) = 4*f**4 + 44*f**3 + 108*f**2 + 52*f - 58. Let k(h) = 14*d(h) + 4*j(h). Factor k(b).
4*(b + 2)**2*(b + 7)*(2*b - 1)
Let f(g) be the second derivative of -g**4/12 - 4*g**3 + g**2 + g. Let a be f(-24). Determine z so that 2/3*z**3 + 2*z - 2/3 - a*z**2 = 0.
1
Let a(p) = -15*p**3 - 129*p**2 - 9*p + 105. Let c(d) = d**3 + d**2 + d + 1. Let n(y) = a(y) + 12*c(y). Find r such that n(r) = 0.
-39, -1, 1
Let f(y) be the first derivative of y**4/4 - 13*y**3/3 - y**2/2 + 13*y - 283. Solve f(q) = 0.
-1, 1, 13
Suppose -6*v = -0*v + 348. Let n = v + 58. Determine r so that -1/2*r**4 + 1/2*r**2 + 0*r - 1/2*r**5 + n + 1/2*r**3 = 0.
-1, 0, 1
Let y(u) = -5*u**2 - 70*u + 75. Let o(i) = -5*i**2 - 70*i + 75. Let n(p) = -5*o(p) + 6*y(p). Factor n(h).
-5*(h - 1)*(h + 15)
Let t be 3/(-5) - 102*9/(-180). Factor -3/2*p + t*p**2 - 3.
3*(p - 1)*(3*p + 2)/2
Suppose -4/7*c**2 + 0 + 0*c = 0. What is c?
0
Let n = -98 - -114. Suppose 0*j = -2*j + 4. Factor 2*u**2 + n + 3*u**2 - u**j + 16*u.
4*(u + 2)**2
Let g(w) be the third derivative of w**7/735 + 2*w**6/105 - w**5/70 - 13*w**4/42 - 16*w**3/21 - 2*w**2 - 1. Solve g(j) = 0.
-8, -1, 2
Let r be 21/(-14) + 2/(-4). Let j(h) = h**2 + 1. Let f(l) = 3*l**2 - 2*l + 2. Let s(d) = r*j(d) + f(d). Solve s(v) = 0.
0, 2
Let z(y) = -1 + 2*y**2 + 0*y**2 - 3*y**3 - 4*y**2 - 2*y. Let n be z(-1). Factor 7*x**2 - 4*x**n - 6 + 0*x**2 + 8*x - 5*x.
3*(x - 1)*(x + 2)
What is v in -12/19*v**3 + 16/19*v - 8/19*v**2 + 0 + 2/19*v**4 + 2/19*v**5 = 0?
-2, 0, 1, 2
Let i = 35 - 29. Let y be (29/i - 5)*(-20 - 0). Determine g so that 2*g**2 + 0 - 4/3*g + y*g**3 = 0.
-1, 0, 2/5
Let u = 42806/32109 - -2/10703. Let u*v**3 - 4*v**2 + 0 + 8/3*v = 0. Calculate v.
0, 1, 2
Let h be ((-3)/(-114))/((-20)/(-320)) - 0/(-2). Let o(x) = x - 3. Let l be o(3). Find t, given that l*t - 6/19*t**2 - 2/19*t**3 + h = 0.
-2, 1
Let p(l) be the third derivative of -1/30*l**5 + 0*l + 0*l**3 + 1/180*l**6 + 0 + 1/18*l**4 - 3*l**2. Factor p(s).
2*s*(s - 2)*(s - 1)/3
Let u(h) be the third derivative of 0 + 1/90*h**6 + 1/630*h**7 - 1/60*h**5 + 4*h**2 + 0*h**3 - 1/4*h**4 + 0*h. Factor u(y).
y*(y - 2)*(y + 3)**2/3
Let n be 1/((-14)/12) - (-44354)/30121. Factor -n*a + 2/13*a**2 + 8/13.
2*(a - 2)**2/13
Let i(w) be the second derivative of 1/138*w**4 + 0*w**2 + 0 - 1/345*w**6 - 1/69*w**3 - 8*w + 1/230*w**5. Suppose i(k) = 0. Calculate k.
-1, 0, 1
Let o be (-8)/(-36)*-3*-6. Suppose 2*p**4 - 2*p**5 + 6*p**3 + 2*p**2 + 0*p**o - 12*p**3 + 4*p**4 = 0. Calculate p.
0, 1
Let j(g) = 3*g**3 + g**2 + 4 - 11*g + 5*g**4 + 8*g**3 + 2. Let z(y) = -70*y**4 - 155*y**3 - 15*y**2 + 155*y - 85. Let m(l) = -85*j(l) - 6*z(l). Factor m(i).
-5*i*(i - 1)*(i + 1)**2
Let y be (-1 + 1)/(18 + (-15)/1). Let m(h) be the first derivative of 1/10*h**6 + 9/10*h**4 + 3/10*h**2 - 12/25*h**5 + 5 - 4/5*h**3 + y*h. Factor m(r).
3*r*(r - 1)**4/5
Let j be -2 - 15/(-13) - 16/104. Let v be (-8)/(9/((12/8)/j)). Find c such that 4/3 + 2/3*c**3 - v*c**2 - 2/3*c = 0.
-1, 1, 2
Let z(j) be the third derivative of 0*j**4 + 0 - 1/24*j**6 - 8*j**2 - 1/12*j**5 + 0*j**3 + 1/42*j**7 + 0*j + 5/336*j**8. Suppose z(k) = 0. What is k?
-1, 0, 1
Let k be 348/(-290)*((-4)/2)/4. Let k*r**2 + 4/5 - 8/5*r = 0. Calculate r.
2/3, 2
Let l(h) = -h**2 + 4 + 0*h - 3 - 12*h. Let w be l(-12). Solve -2*a**2 - 1 + 2*a + w = 0 for a.
0, 1
Let d(l) = l**3 - 5*l**2 + 8*l - 20. Let x be d(4). Let v be (-1)/x + (-1534)/(-520). Factor -8/5*u - v + 4/5*u**2 + 2/5*u**3.
2*(u - 2)*(u + 2)**2/5
Let b(g) = g**2 - 5*g + 4. Let n be b(5). Let h be n - 2/2*-2. Find i such that 4 + h*i + i**3 - 7*i**2 - 2*i**3 + 3*i**2 - 5*i**3 = 0.
-1, -2/3, 1
Let k be (-46)/253 + ((-224)/(-22) - 1). Suppose -4*p = -2*p - k*p. Determine u so that p - 2/3*u - 10/3*u**2 = 0.
-1/5, 0
Solve 1/4*y**4 + 1089 - 2145*y + 65/2*y**3 + 4093/4*y**2 = 0.
-66, 1
Let b(r) be the first derivative of r**4/18 - 46*r**3/27 - 8*r**2/3 - 369. Factor b(x).
2*x*(x - 24)*(x + 1)/9
Let a = 2651/545 - 7/109. Let 3/5*p**5 + 84/5*p - 114/5*p**2 - a*p**4 - 24/5 + 15*p**3 = 0. Calculate p.
1, 2
Let c be 1 + 0 + (-12)/(-3). Factor -3*z**3 - 5*z - z**3 - c - z**2 + 6*z**2 + 9*z**3.
5*(z - 1)*(z + 1)**2
Let v(h) be the third derivative of -h**7/1470 - 3*h**6/280 - h**5/28 + 25*h**4/168 + 64*h**2. Factor v(w).
-w*(w - 1)*(w + 5)**2/7
Let k be 4/(16/(-12)) - 28/(-6 - -2). Factor 10/3*p**2 + 0 + 5/6*p**k + 10/3*p**3 + 0*p.
5*p**2*(p + 2)**2/6
Let d(y) be the second derivative of -3*y**5/160 + y**4/16 + 7*y**3/16 + 3*y**2/4 - 24*y + 2. Factor d(b).
-3*(b - 4)*(b + 1)**2/8
Let l(o) = 12*o**4 - 24*o**3 + 40*o**2 - 28*o + 4. Let y(n) = 2*n**4 - n**2 - n + 1. Let j(z) = l(z) - 4*y(z). Factor j(g).
4*g*(g - 3)*(g - 2)*(g - 1)
Suppose 2*c - 28 = 4*v, -6*c + 7*c + 2*v + 6 = 0. Suppose -3*s + 6 = -3. Factor -5*k**3 - k**3 + 4*k**2 - s*k**c + 0*k**2 - 7*k**2.
-3*k**2*(k + 1)**2
Let k(y) be the third derivative of 0*y + 1/70*y**7 - 11/180*y**5 - 1/60*y**6 + 2/9*y**3 + 25*y**2 + 1/18*y**4 + 0. Factor k(v).
(v - 1)**2*(3*v + 2)**2/3
Factor -4300/3*a**2 - 2/3*a**5 - 7480/3*a - 1010/3*a**3 - 80/3*a**4 - 4624/3.
-2*(a + 2)**3*(a + 17)**2/3
Suppose -14*r + 162 = 40*r. Let 0 - 3/4*a**r + 3*a + 0*a**2 = 0. What is a?
-2, 0, 2
Let q be ((-37)/370)/((-3)/6). Let d(s) be the third derivative of -2/35*s**7 + 0*s**3 + 0 - q*s**5 + 8*s**2 + 0*s + 17/40*s**6 + 0*s**4. What is o in d(o) = 0?
0, 1/4, 4
Let i = -2467 + 2467. Let j = 482/1037 + -14/61. Factor 0*a + 0*a**2 + 14/17*a**5 + 0*a**3 + i + j*a**4.
2*a**4*(7*a + 2)/17
Let g(q) be the third derivative of q**6/1020 - 13*q**5/510 - 7*q**4/102 - 186*q**2. Find x such that g(x) = 0.
-1, 0, 14
Suppose 0 = -5*v - 3*d - 0 - 5, 0 = -v + 2*d + 12. Factor -2*m - v + 6 + 8*m + 2*m**2.
2*(m + 1)*(m + 2)
Suppose -36 = -58*p + 40*p. Let b(t) be the second derivative of 1/24*t**4 - 1/6*t**3 + 1/4*t**p - 7*t + 0. Factor b(j).
(j - 1)**2/2
Let f be (102 - 101)*(-4)/(-5). Suppose 4/5 - f*t - 8/5*t**2 = 0. Calculate t.
-1, 1/2
Let u(l) be the third derivative of l**10/30240 + l**9/4032 + l**8/1344 + l**7/1008 - l**5/12 + 9*l**2. Let v(a) be the third derivative of u(a). Factor v(n).
5*n*(n + 1)**3
Let h(l) be the first derivative of -4/9*l**3 + 1/9*l**4 + 5*l + 2/3*l**2 - 5. Let q(i) be the first derivative of h(i). Let q(z) = 0. What is z?
1
Factor 468*i - 19*i**2 - 24*i**2 - 728 + 864 + 15*i**2.
-4*(i - 17)*(7*i + 2)
Let o(k) be the first derivative of 4 - 1/5*k**4 + 0*k**2 + 0*k - 2/5*k**3 + 2/25*k**5. Let o(t) = 0. What is t?
-1, 0, 3
Factor 178*a**3 + 87*a**3 + 87*a**3 + 532*a**2 + 36*a**4 - 64 + 152*a.
4*(a + 1)**2*(a + 8)*(9*a - 2)
Let d = 196579/9 + -21842. Solve 2/9 - 1/9*n**2 - d*n = 0.
-2, 1
Let j(p) = p**2 + 32*p - 101. Let x be j(-35). Let z(n) be the second derivative of -1/60*n**5 - 2*n + 0 + 1/4*n**x + 9/2*n**2 - 3/2*n**3. Factor z(u).
-(u - 3)**3/3
Suppose -344 = 9*u - 380. What is a in 3/7*a**3 + 0 - 15/7*a**u + 6/7*a + 15/7*a**2 - 9/7*a**5 = 0?
-1, -2/3, 0, 1
Factor 8/13*x - 4/13*x**2 - 2/13*x**3 + 16/13.
-2*(x - 2)*(x + 2)**2/13
Let y = -7332 + 21998/3. Suppose 2/3*t**2 + 0*t - 4/3*t**3 + y*t**4 + 0 = 0. Calculate t.
0, 1
Let g(m) be the second derivative of m**5/100 + 7*m**4/30 - 11*m**3/6 - 34*m**2/5 - 782*m. Factor g(q).
(q - 4)*(q + 1)*(q + 17)/5
Let l(z) = 21*z**3 + 7*z**2 - 10*z + 6. Let c(j) = 18*j**3 + 6*j**2 - 9*j + 5. Let u(p) = 6*c(p) - 5*l(p). Factor u(s).
s*(s - 1)*(3*s + 4)
Let a be 1*(11 + -1 + 1). Let z = a - 8. Factor -3*f + 0*f**2 + 0*f**2 - z + 3*f**3 + 3*f**2.
3*(f - 1)*(f + 1)**2
Let d be -4*(-18)/96*(-2)/33. Let m = 9/44 - d. Solve 0 + 0*b**3 - 3/4*b**2 + m*b**4 - 1/2*b = 0 for b.
-1, 0, 2
Factor -18 - 551*n**2 + 3*n**3 + 551*n**2 - 21*n.
3*(n - 3)*(n + 1)*(n + 2)
Let d = 1774 + -1774. Find o, given that 0 - 3/4*o**3 + 1/4*o**5 + d*o**4 + 0*o + 1/2*o**2 = 0.
-2, 0, 1
Let l(f) be the third derivative of -f**5/210 - 10*f**4/21 - 400*f**3/21 - 18*f**2 + f. Let l(p) = 0. Calculate p.
-20
Let f = -1/134 - -6839/670. Let 39/5*m + 3*m**4 - 18/5*m**5 - 6/5 + f*m**3 - 81/5*m**2 = 0. What is m?
-2, 1/3, 1/2, 1
Let h(o) = 4*o**3 - 2*o**2 - 2*o + 1. Let p be h(2). Factor -14*g**2 - 6 + 27*g**3 + 7*g**2 + 51*g + p*g**3 - 113*g**2.
3*(g - 2)*(4*g - 1)**2
Let w(f) = -6*f**3 - 50*f**2 - 200*f - 168. Let o(m) = -4*m**3