 -3*v(n) + 14*x(n). Factor d(w).
-4*(w - 3)*(w - 1)
Factor 3*a - 10*a + a + 0*a + 2*a**2.
2*a*(a - 3)
Let m = -13 - -19. Suppose m = l + 2*l. Suppose 1/3*u**3 + 4/3*u**l + 2/3 + 5/3*u = 0. Calculate u.
-2, -1
Let c(s) be the third derivative of 0*s + 1/70*s**5 - 2*s**2 + 1/21*s**3 - 1/28*s**4 - 1/420*s**6 + 0. Determine r so that c(r) = 0.
1
Let r be 0 - (-2 + 1 + -3). Let f be -1 - 1*(-21)/7. Suppose -2*y**3 + 0 - 7/4*y**f + r*y**4 - 1/4*y = 0. What is y?
-1/4, 0, 1
Let h be ((-2)/(-1) - -1) + 0. Factor -r**3 - r**2 + 2*r**h - r**3 - r**3.
-r**2*(r + 1)
Let g(d) be the first derivative of d**4/30 - 2*d**3/15 - 2. Determine w, given that g(w) = 0.
0, 3
Suppose 0 = -f + 3, -l + 5*l - 5*f = -3. Suppose 9 + 6 = 5*i - l*s, s + 12 = 4*i. Determine g, given that 2/9*g**i + 2/9*g - 4/9*g**2 + 0 = 0.
0, 1
Let v(a) be the third derivative of -a**7/105 - a**6/30 + a**5/10 + a**4/3 - 4*a**3/3 + 6*a**2. Let v(c) = 0. Calculate c.
-2, 1
Let l(f) be the second derivative of f**7/3780 + f**4/12 - 7*f. Let p(i) be the third derivative of l(i). Find m, given that p(m) = 0.
0
Suppose 3*s - 56 = 4. Suppose n - s = -4*n. Determine t, given that -2*t**n + 0*t**5 + t**3 - t**5 + 2*t**5 = 0.
0, 1
Suppose 2*f + 2*f = 4. Let x be f - (-4)/((-4)/(-3)). Factor b - 2*b**2 + b**x + 3 - 2 - b.
(b - 1)**2*(b + 1)**2
Let q(c) = 9*c**2 + 5. Let y(l) = -2 - 2 + 7 + 5*l**2. Let o(r) = -4*q(r) + 7*y(r). Solve o(v) = 0.
-1, 1
Suppose -54*k = -59*k. Determine q, given that k*q + 0 + 0*q**2 + 5/2*q**5 + 7/2*q**4 + q**3 = 0.
-1, -2/5, 0
Let o(c) be the first derivative of -c**7/70 + c**6/32 - c**5/80 + 5*c**2/2 + 3. Let k(g) be the second derivative of o(g). Determine w so that k(w) = 0.
0, 1/4, 1
Suppose 3*u + 3*c = 2*c + 17, 0 = 2*u - 3*c + 7. Let y be ((-9)/6)/((-3)/u). Let -d**y - 2*d**2 + 2*d**2 = 0. What is d?
0
Let a(y) be the second derivative of y**4/18 + y**3/3 - 5*y. Factor a(p).
2*p*(p + 3)/3
Suppose 4*x - 85 = -x. Suppose 4*t + 5 = x. Factor 3*w + w**2 + 0*w - 2*w - t*w.
w*(w - 2)
Let v(j) be the first derivative of 3*j - 1/3*j**2 + 0*j**3 + 1/18*j**4 + 3. Let u(t) be the first derivative of v(t). Factor u(z).
2*(z - 1)*(z + 1)/3
Determine f, given that -5/3*f + 14/3*f**3 - 2*f**4 - 3*f**5 - 2/3 + 8/3*f**2 = 0.
-1, -1/3, 2/3, 1
Let n be -5 + 2 - 124/4. Let x be (-5)/20 - n/8. Factor 2*j - 4/3*j**2 + 2*j**x - 2/3*j**5 - 4/3*j**3 - 2/3.
-2*(j - 1)**4*(j + 1)/3
Let t(g) be the third derivative of -1/360*g**6 + 1/36*g**3 + 0 + 1/72*g**4 - 1/1260*g**7 + 0*g**5 + 3*g**2 + 0*g. Factor t(b).
-(b - 1)*(b + 1)**3/6
Solve -5/4*q**2 - 7/4*q - 1/2 = 0.
-1, -2/5
Let s(i) be the first derivative of i**6/9 + 2*i**5/15 - i**4/3 - 4*i**3/9 + i**2/3 + 2*i/3 + 19. Find k, given that s(k) = 0.
-1, 1
Let q(c) = 16*c**3 + 51*c**2 + 24*c - 11. Let d(m) = -3*m**3 - 10*m**2 - 5*m + 2. Let n(w) = 11*d(w) + 2*q(w). Factor n(s).
-s*(s + 1)*(s + 7)
Let d be (-1)/3 - (3 + (-44)/12). Let h(w) be the first derivative of 3 + 1/2*w - d*w**3 - 1/12*w**6 + 1/10*w**5 + 1/4*w**4 - 1/4*w**2. What is m in h(m) = 0?
-1, 1
Factor 0*h**4 - 4*h**3 + h**4 + 2*h**3 + h**4.
2*h**3*(h - 1)
Let n(y) be the first derivative of 2*y**3/15 + 2. Determine w so that n(w) = 0.
0
Let y be (-6)/4 - (-3 + 12/8). Let a(q) be the first derivative of 1/12*q**4 - 1/3*q**3 - 2 + y*q + 1/3*q**2. Suppose a(h) = 0. Calculate h.
0, 1, 2
Suppose o = -m - 0*o + 8, 2*m + o - 12 = 0. Let 10*v**3 - 7*v**3 - m*v**4 - v**2 + v**5 + v**4 = 0. What is v?
0, 1
Let d(b) be the third derivative of 0*b - 1/240*b**5 + 0*b**3 + 0 - 1/840*b**7 + 1/240*b**6 + 0*b**4 + 4*b**2. Factor d(o).
-o**2*(o - 1)**2/4
Let y(b) be the first derivative of 0*b + 1/6*b**3 - 1/6*b**2 + 1. Factor y(l).
l*(3*l - 2)/6
Let r be (2 + (-114)/63)/(6/81). Factor 12/7*y + 2/7*y**2 + r.
2*(y + 3)**2/7
Suppose -24*s = -16*s - 16. Factor -4/5*i**4 - 4*i**s + 0 + 17/5*i**3 + 4/5*i.
-i*(i - 2)**2*(4*i - 1)/5
Factor -3/4*h + 0 - 9/2*h**3 + 3*h**4 + 3*h**2 - 3/4*h**5.
-3*h*(h - 1)**4/4
Let z be 2*(-3 + 18/4). Suppose 0 = -0*c - c + z*u + 3, c = u + 3. Factor 2*f**2 - 3*f**2 - 2*f**2 - c*f + 0*f**2.
-3*f*(f + 1)
Determine y so that -42/5*y**2 - 10*y**4 + 8/5 - 16/5*y + 20*y**3 = 0.
-2/5, 2/5, 1
Let f be ((-52)/(-65))/((12/10)/1). Let x be (3/(-2))/(27/(-24)). Factor 2/3*q**5 - f*q**4 - x*q**3 + 4/3*q**2 - 2/3 + 2/3*q.
2*(q - 1)**3*(q + 1)**2/3
Let k = 3 - 3. Let b be ((-10)/(-4))/(1/2). Factor 2/7*m**b + 4/7*m**2 - 4/7*m**4 + k - 2/7*m + 0*m**3.
2*m*(m - 1)**3*(m + 1)/7
Let x(r) = -r**2 + 9*r - 9 + r**4 - 8*r**3 + 9*r**5 + 0*r**5 - r**5. Let y(i) = -i**5 + i**3 - i + 1. Let v(f) = -2*x(f) - 18*y(f). Factor v(p).
2*p**2*(p - 1)**2*(p + 1)
Factor 0 - 1/5*p**3 + 0*p**2 + 4/5*p.
-p*(p - 2)*(p + 2)/5
Let o(k) = -22*k**4 + 15*k**3 + 23*k**2 - 7*k. Let l(q) = 7*q**4 - 5*q**3 - 8*q**2 + 2*q. Let c(i) = -7*l(i) - 2*o(i). Determine v, given that c(v) = 0.
-1, 0, 2
Let o = -2048908202/815 + 2513997. Let s = 1/163 - o. Determine y, given that s - 6/5*y + 2/5*y**2 = 0.
1, 2
Suppose 5*b - 4 = 4*b - 3*v, 3*b - 12 = -v. Suppose 11 = b*d + 4*f - 9, -13 = -5*d - f. Solve 2*z**5 + z**3 - d*z**3 - z**5 = 0 for z.
-1, 0, 1
Factor 28 + 0*t - 8*t + 11*t**2 - 24*t - t**3.
-(t - 7)*(t - 2)**2
Let v(o) be the third derivative of -o**6/80 + 3*o**5/40 - 9*o**2. Factor v(w).
-3*w**2*(w - 3)/2
Let i(a) = a**2 + 16*a - 17. Let j be i(-17). Determine x, given that 0 - 1/3*x**3 + 1/3*x**2 + j*x = 0.
0, 1
Let k(u) be the first derivative of 1/25*u**5 - 3 - 3/10*u**2 + 1/15*u**3 + 3/20*u**4 - 2/5*u. Determine g so that k(g) = 0.
-2, -1, 1
Let p be ((-9)/162)/(2/(-6)). Let v(n) be the second derivative of -1/6*n**4 + 0*n**2 + 0 - 1/20*n**5 - p*n**3 + 3*n. Factor v(z).
-z*(z + 1)**2
Suppose -i - d = 2, 3*i + 4*d + 14 = i. Determine x so that 7*x - 18*x**2 - 3*x**4 - i + 4*x + x + 12*x**3 = 0.
1
Let z be 2/(-6)*-2*6. Let t(g) = 2 - 5 - g + 2 + g**2. Let n(q) = -2*q**3 - 4*q**2 + 4*q + 4. Let m(o) = z*t(o) + n(o). Factor m(y).
-2*y**3
Let l(w) be the second derivative of -w**7/27 - 23*w**6/135 - 3*w**5/10 - 13*w**4/54 - 2*w**3/27 + 2*w. Solve l(k) = 0.
-1, -2/7, 0
Let y(r) be the second derivative of -r**7/21 - 2*r**6/15 + r**5/5 + 4*r**4/3 + 7*r**3/3 + 2*r**2 - 3*r. Factor y(u).
-2*(u - 2)*(u + 1)**4
Let n be (12/(-18))/((-2)/9)*1. Factor -1/9 - 1/9*t + 1/9*t**n + 1/9*t**2.
(t - 1)*(t + 1)**2/9
Factor 3/8*y**2 + 243/8 - 27/4*y.
3*(y - 9)**2/8
Let a(f) be the first derivative of -4 - 3/5*f + 3/10*f**4 + 3/25*f**5 + 0*f**3 - 3/5*f**2. Factor a(d).
3*(d - 1)*(d + 1)**3/5
What is t in -28*t**4 + 64 - 28*t**2 + 32*t**4 - 4*t**2 = 0?
-2, 2
Let s(n) be the second derivative of -n**4/54 + 2*n**3/27 + 2*n. Factor s(o).
-2*o*(o - 2)/9
Factor 2*l - 7 + 4*l + 2*l**2 + 7 - 8.
2*(l - 1)*(l + 4)
Let y(q) be the second derivative of -q**4/48 + q**3/12 - q**2/8 + 11*q. Suppose y(b) = 0. What is b?
1
Let n(l) be the third derivative of 0*l + 1/15*l**5 + 0 - 8*l**2 + 1/3*l**4 + 2/3*l**3. Suppose n(c) = 0. Calculate c.
-1
Let f(a) = 10*a**3 + 71*a**2 + 11*a - 331. Let c(q) = -2*q**3 - 14*q**2 - 2*q + 66. Let d(n) = -11*c(n) - 2*f(n). Find r such that d(r) = 0.
-4, 2
Suppose 0*t + 4*t - 12 = 0. Factor 4*f**2 + t*f**4 + f**3 + 0*f**2 + f**3 - 9*f**4.
-2*f**2*(f - 1)*(3*f + 2)
Let j(o) be the second derivative of o**6/80 - 11*o**5/240 + o**4/24 - o**3/6 + 2*o. Let l(d) be the second derivative of j(d). Factor l(p).
(p - 1)*(9*p - 2)/2
Let -14/3*s**2 - 116/3*s - 32/3 = 0. What is s?
-8, -2/7
Let n be (-16 + 17)*10/(-2). Let l(o) = 3*o + 2*o**3 + 5 - 2*o**2 + o**3 + o**3. Let j(x) = 3*x**3 - x**2 + 2*x + 4. Let m(k) = n*j(k) + 4*l(k). Factor m(q).
q*(q - 2)*(q - 1)
Let c(h) = h. Let g(s) = -3*s - 4. Let t(j) = -4*c(j) - g(j). Let a be t(4). Determine f so that a*f - 1/5 + 1/5*f**2 = 0.
-1, 1
Solve -6/5 - 21/5*t - 24/5*t**2 - 9/5*t**3 = 0.
-1, -2/3
Let i(k) be the third derivative of -k**7/210 - k**6/60 - k**5/60 - 5*k**2. Factor i(g).
-g**2*(g + 1)**2
Let h be 0 - 3/((-6)/8). Suppose 4 = y, 5*b - y + h = -0*y. Determine x, given that 2/5*x**3 + 2/5*x**4 + b + 0*x**2 + 0*x = 0.
-1, 0
Let o(u) = 12*u**4 - 21*u**3 - 93*u**2 + 96*u - 15. Let i(l) = -3*l**4 + 5*l**3 + 23*l**2 - 24*l + 4. Let s(w) = -21*i(w) - 5*o(w). Factor s(z).
3*(z - 1)**3*(z + 3)
Let n(c) = 4*c + 4. Let z be n(-3). Let x(y) = -11*y**2 - 5. Let d = -1 + 4. Let q(p) = -4*p**2 - 2