 -d**5 + 34*d**4 + 119*d**3 + 196*d**2 + 146*d + 34. Let m(j) = -35*j**4 - 120*j**3 - 195*j**2 - 145*j - 35. Let y(i) = -6*m(i) - 5*w(i). Factor y(u).
5*(u + 1)**2*(u + 2)**3
Let n be (-104)/(-3)*(-27)/4. Let d be 36/n + (-82)/(-26). Factor -m**2 + m - 1/3 + 1/3*m**d.
(m - 1)**3/3
Let n(q) be the first derivative of -q**4/6 + 10*q**3/9 - 4*q**2/3 + 8. Find t such that n(t) = 0.
0, 1, 4
Determine f, given that 0*f**4 - 2*f + 4*f - f**2 - f**4 + 2*f**4 - 2*f**3 = 0.
-1, 0, 1, 2
Factor -35*t - t**3 - 4*t**3 + 50*t + 3 + 7.
-5*(t - 2)*(t + 1)**2
Let c be 3/1*1/1. Let y be (1 - 9/15)*(-25)/(-5). Factor 2*h**y + h**3 - 20*h**4 + 22*h**4 - 5*h**c.
2*h**2*(h - 1)**2
Let i = -3 - -5. Suppose -3*l = l - 16. Determine z, given that 2*z**5 + 8*z**4 - 6*z**3 - 4*z**5 - 2*z**l + i*z**2 = 0.
0, 1
Let g be 10*(-2)/(-4) + 1. Suppose t - 19 = -4*l, -4*l + g = -t - 15. Factor 1 - l + 2 + 2*j**2.
2*(j - 1)*(j + 1)
Suppose -2*n = -3*g - 19, 0 = 6*n - n + 4*g - 13. Find q, given that 2/5*q**3 - 3/5*q + 1/5*q**n - 1/5 + 3/5*q**4 - 2/5*q**2 = 0.
-1, 1
Let a be (-2)/5 + 60/25. Factor -10*q**4 - 2*q - 2*q + 8*q**a + 2*q**2 + 0*q**2 + 4*q**3.
-2*q*(q - 1)*(q + 1)*(5*q - 2)
Factor 9*t**4 - 3*t**3 - t**5 + 0*t**5 - 2*t**5 - 3*t**4.
-3*t**3*(t - 1)**2
Determine c, given that 2/9*c**3 + 0*c**2 - 2/9*c + 0 = 0.
-1, 0, 1
Factor -1/4*f**2 - 3/4 - f.
-(f + 1)*(f + 3)/4
Let k(q) be the third derivative of 4*q**2 - 3/2*q**5 - 7/40*q**6 + 0 - 4*q**3 - 9/2*q**4 + 0*q. Factor k(y).
-3*(y + 2)**2*(7*y + 2)
Let x(j) be the first derivative of 27*j**5/20 + 45*j**4/8 + 25*j**3/4 - 3*j - 8. Determine h, given that x(h) = 0.
-2, -1, -2/3, 1/3
Determine z so that -24*z + 3*z**2 + 5*z**2 + 16 + 4*z**2 - 2*z**3 = 0.
2
Solve -4/9 + 2/3*k**2 - 2/9*k - 2/9*k**4 + 2/9*k**3 = 0.
-1, 1, 2
Let w = -369 + 369. Factor 6/11*i**3 + 2/11*i + w + 6/11*i**2 + 2/11*i**4.
2*i*(i + 1)**3/11
Suppose -5*z + z = -3*g, 0 = -5*z. Let s(t) be the second derivative of 0*t**2 - 1/30*t**3 + 1/100*t**5 + 0 + 2*t + g*t**4. Factor s(j).
j*(j - 1)*(j + 1)/5
Let l(z) = -z + 4. Let p be l(2). Factor 9*u**4 + 7*u**3 + 7*u**p - 4*u**2 + 3*u**5 + 2*u**3.
3*u**2*(u + 1)**3
Let p(f) be the second derivative of f**4/48 - f**3/12 - 4*f. Find k, given that p(k) = 0.
0, 2
Let d(n) be the second derivative of -n**5/80 - 5*n**4/24 - 17*n**3/24 - n**2 + 22*n. Find b such that d(b) = 0.
-8, -1
Let y be 4/(-6)*(-24)/10. Let f = -19/15 + y. Find a, given that 0 + f*a**2 + a**3 + 0*a + 1/3*a**5 + a**4 = 0.
-1, 0
Let a = -201/5 - -407/10. Suppose 0 + 1/2*p + 1/2*p**4 - 1/2*p**3 - a*p**2 = 0. What is p?
-1, 0, 1
Let p(b) = -b**4 - b**3 + b**2 - b - 1. Let d(f) = f**5 - 5*f**4 - 7*f**3 + 5*f**2 - 4*f - 5. Let c(u) = 2*d(u) - 10*p(u). What is l in c(l) = 0?
-1, 0, 1
Suppose 2*x = -3*i, -5*i - 26 = -4*x - 4. Factor -3*f**x + f**3 + 1 - f - 2*f**2 + 3*f + 1.
-2*(f - 1)*(f + 1)**2
Suppose -o + 5*u + 3 - 4 = 0, 4*o - 5*u + 4 = 0. Let s be ((-2)/(-4) + o)*-6. Factor -2*j + j**s + 0*j**4 + 3*j**3 - 4*j**2 + 3*j**2 + 3*j**4.
j*(j + 1)**2*(3*j - 2)
Let v(t) be the third derivative of -t**8/168 + t**7/21 - t**6/6 + t**5/3 - 5*t**4/12 + t**3/3 + 16*t**2. Factor v(h).
-2*(h - 1)**5
Determine a, given that -3/5*a**2 - 3/5*a**4 + 0 + 0*a - 6/5*a**3 = 0.
-1, 0
Let c be ((-6)/(-18))/(4/(-24)) - -4. Factor 0 + 1/4*x**3 - 1/4*x + 0*x**c.
x*(x - 1)*(x + 1)/4
Suppose 5*i - 20 = -j, j + 4*i = 3*j + 2. Let v = -2 + j. Determine y, given that 2*y + y**3 - 2*y - 3*y**v + 2*y**5 = 0.
-1, 0, 1
Let x(p) be the first derivative of p**6/1260 - p**5/105 + p**4/21 - p**3/3 + 5. Let y(n) be the third derivative of x(n). Determine j so that y(j) = 0.
2
Let w be 210/(-60)*(0 - 1 - 1). Suppose -1/2*b**4 + 3/2 - 6*b**3 + b**5 - w*b + 11*b**2 = 0. What is b?
-3, 1/2, 1
Let q(u) be the first derivative of -u**5/30 + u**4/12 - u**2/6 + u/6 + 5. Factor q(x).
-(x - 1)**3*(x + 1)/6
Determine x, given that -8*x**4 + 36*x + 29*x**2 - 20 + 21*x**2 + 22*x**2 - 36*x**3 - 44*x**2 = 0.
-5, -1, 1/2, 1
What is g in 0 + 1 + 6*g + 9*g**2 - 1 - 3*g**4 = 0?
-1, 0, 2
Let g(h) be the second derivative of h**7/3780 - h**5/180 + h**4/54 - 5*h**3/6 - h. Let x(j) be the second derivative of g(j). Determine r, given that x(r) = 0.
-2, 1
Suppose 0 = m, y = -2*y + 5*m + 12. Factor 2*p**2 - 3*p**y + 4*p**4 + p**3 + p**4 - 5*p**3.
2*p**2*(p - 1)**2
Factor 0*s**2 + 0*s - 2/9*s**4 + 0 + 4/9*s**3.
-2*s**3*(s - 2)/9
Find d such that 22 + 34 - d**2 - 3*d**2 - 52*d = 0.
-14, 1
Let p(l) = -l**2 - 1. Suppose -4*v + 2*v = -6. Let o(i) = 7 - v*i - 7*i - 4 + 9*i**2. Let g(j) = -o(j) - p(j). Suppose g(a) = 0. What is a?
1/4, 1
Let w(x) be the second derivative of -x**7/168 - x**6/30 - 3*x**5/40 - x**4/12 - x**3/24 + 6*x. Solve w(g) = 0 for g.
-1, 0
Let 4/5*w**4 + 116/5*w**2 + 72/5 + 156/5*w + 36/5*w**3 = 0. What is w?
-3, -2, -1
Let j = -37 - -29. Suppose 0 = f + 2*f - 9. Let x(n) = 5*n**2 + 14*n - 11. Let q(i) = 2*i**2 + 5*i - 4. Let c(a) = f*x(a) + j*q(a). Suppose c(w) = 0. What is w?
1
Let z(b) be the third derivative of -b**5/15 + b**4/3 - 2*b**3/3 + 5*b**2. Factor z(y).
-4*(y - 1)**2
Let j = -3 - -6. Let t = j + 5. Factor -6*d**4 + 4*d**2 - 2*d + 2*d**3 - 2*d**2 - 4*d**2 + t*d**2.
-2*d*(d - 1)*(d + 1)*(3*d - 1)
Let a(l) be the third derivative of 0*l + l**3 + l**2 + 0 - 1/40*l**6 + 0*l**5 + 3/8*l**4. Let a(y) = 0. What is y?
-1, 2
Solve -9/5*d**3 + 0 + 0*d - 3/5*d**5 + 0*d**2 - 12/5*d**4 = 0.
-3, -1, 0
Let i(j) be the second derivative of 1/2*j**4 + 0*j**2 + 0 - 1/2*j**3 - 3/20*j**5 - 2*j. Let i(h) = 0. Calculate h.
0, 1
Let u be (32/336)/((-4)/(-120)). Determine d, given that -32/7 + 120/7*d**2 - 92/7*d**3 + u*d**4 - 16/7*d = 0.
-2/5, 1, 2
Let g(u) be the third derivative of u**7/3360 + u**6/1440 - u**5/480 - u**4/96 - u**3/2 - 3*u**2. Let j(h) be the first derivative of g(h). Factor j(a).
(a - 1)*(a + 1)**2/4
Let p(z) = -13*z**2 - z - 4. Let i(g) = g - 1. Let h(a) = 3*a**2 - 3*a + 4. Let m(u) = -2*h(u) - 6*i(u). Let x(r) = -9*m(r) + 4*p(r). Let x(j) = 0. What is j?
1
Suppose 5*c = h + 11, -4*c + 17 = 4*h - 11. Let y = -2 + 2. Factor y + 5 - 2 - c*o**2.
-3*(o - 1)*(o + 1)
Let d(y) be the third derivative of -3*y**7/560 + y**6/320 + y**5/96 + y**4/192 - 2*y**2. Factor d(n).
-n*(n - 1)*(3*n + 1)**2/8
Suppose 3*w + w - 4*o = -4, 0 = w + 2*o - 2. Suppose 4 = -w*z + 2*z. What is n in 16*n**4 - 29*n**2 + n + z*n**3 + 9*n**2 + n + 6*n**3 + 4 - 10*n**5 = 0?
-1, -2/5, 1
Let v(w) = -w**2 + 7*w + 3. Let i be v(7). Solve 0*r + 3/2*r**2 + 0 + 3/2*r**i = 0.
-1, 0
Let h(s) be the second derivative of -s**6/90 + s**5/10 - 13*s**4/36 + 2*s**3/3 - 2*s**2/3 + s + 8. Determine q so that h(q) = 0.
1, 2
Factor -a - 12*a**2 + 39 - 32*a - 57 + a**3 + 2*a**3.
3*(a - 6)*(a + 1)**2
Let d(b) be the second derivative of -b**5/60 - b**4/12 - b**3/6 - b**2/6 - 7*b. What is v in d(v) = 0?
-1
Let r be (-5)/(-2)*(1 - -1). Suppose -r*t + 8 = -2. Factor 1 + t*f**2 - f**2 - 4*f + f**4 - 4*f**3 + 5*f**2.
(f - 1)**4
Suppose -3*k**4 - 3*k**4 - 2*k**3 + 5*k**3 - 8*k**5 - k**5 = 0. Calculate k.
-1, 0, 1/3
Let i(d) = d**3 - 4*d**2 + 2. Let u be i(4). Suppose 0 = -2*r + 4. Factor 4*m**2 + 2*m**3 - m**4 - 2*m**u - m**4 - r*m.
-2*m*(m - 1)**2*(m + 1)
Let t be ((16/(-3))/(40/(-60)))/2. Let l**2 - 3/2*l**t + 1/2 - 7/4*l + 7/4*l**3 = 0. Calculate l.
-1, 1/2, 2/3, 1
Let g(u) be the third derivative of -3*u**2 + 27/80*u**6 + 3/10*u**5 + 0 + 0*u + 0*u**3 + 1/12*u**4. Suppose g(j) = 0. What is j?
-2/9, 0
Let c(g) be the first derivative of 7*g**6/3 + 18*g**5/5 - 13*g**4 - 24*g**3 - 8*g**2 - 6. Find f, given that c(f) = 0.
-2, -1, -2/7, 0, 2
Let o(h) be the third derivative of -h**8/28 + 4*h**7/105 + 3*h**6/40 - 3*h**5/20 + h**4/12 - 26*h**2. Suppose o(z) = 0. What is z?
-1, 0, 1/2, 2/3
Determine c so that -2*c**2 + 5*c**2 - 7*c**2 = 0.
0
Let z(c) = -c**5 + 6*c**3 - 4*c**2 - 5*c. Let b(p) = -p**5 + 7*p**3 - 5*p**2 - 6*p - 1. Let g(o) = 2*b(o) - 3*z(o). Factor g(d).
(d - 1)**3*(d + 1)*(d + 2)
Let p(n) be the third derivative of n**9/141120 + n**8/23520 + n**7/11760 + n**5/30 - 9*n**2. Let c(y) be the third derivative of p(y). Factor c(w).
3*w*(w + 1)**2/7
Let n(o) = -o**2 + o. Let f be n(-3). Let r be (-4)/63 + f/(-42). Factor r + 2/9*b - 2/9*b**2 - 2/9*b**3.
-2*(b - 1)*(b + 1)**2/9
Let v(t) = -4*t**3 - 4. Let g(c) = -11*c**3 + c**2 + c - 11. Let w = 39 + -22. 