j**3 - 1/4*j**4 + 1/2 - 1/4*j**2 = 0.
-1, 1, 2
Suppose 1 = -v - 4*i, 1 = 3*v - 5*i - 13. Let t(f) be the first derivative of -1 + 2/35*f**5 - 1/7*f**4 + 0*f + 2/21*f**v + 0*f**2. What is c in t(c) = 0?
0, 1
Let q(b) be the third derivative of -2/3*b**3 + 0*b - 5/12*b**4 + 0 - 2/15*b**5 - b**2 - 1/60*b**6. Let q(z) = 0. What is z?
-2, -1
Let l be -8*(2 - (-565)/(-290)). Let s = 118/145 + l. Suppose -2/5*x**2 + 0 + s*x = 0. Calculate x.
0, 1
Let y(b) be the first derivative of 1/3*b**6 + 2*b**2 + 0*b + 14/3*b**3 + 2*b**5 + 9/2*b**4 + 3. Solve y(d) = 0.
-2, -1, 0
Let o(z) be the second derivative of 0 + 1/12*z**4 + 5*z - 1/6*z**3 - 1/80*z**5 + 0*z**2. Find s, given that o(s) = 0.
0, 2
Let y be (-4)/38 - 609/(-1995). Factor y*a**2 - 1/5*a - 2/5.
(a - 2)*(a + 1)/5
Let r(k) be the first derivative of k**5/2 + 13*k**4/6 + 4*k**3/3 - 4*k**2 + k + 3. Let d(q) be the first derivative of r(q). Factor d(p).
2*(p + 1)*(p + 2)*(5*p - 2)
Let z(a) be the first derivative of 3*a**6 - 6*a**5 - 5*a**4/2 + 10*a**3 - 8*a + 11. Factor z(m).
2*(m - 1)**3*(3*m + 2)**2
Suppose -r + 10 = -3*r, -4*r - 20 = 5*f. Let v(a) be the first derivative of -1 + f*a - 1/2*a**2 + 0*a**3 + 1/4*a**4. Determine j so that v(j) = 0.
-1, 0, 1
Let m(i) = i**4 + i**2 - 1. Let b(u) = 10*u**4 + 13*u**2 - 9 + 11*u**3 - 10*u**3 - 6*u**2. Let j(d) = 2*b(d) - 18*m(d). Let j(h) = 0. What is h?
-2, 0, 1
Suppose 3*k = -z + 22, -4*k = 3*z - 5 - 31. Let h = k - 2. Find c, given that c**4 + 2*c**2 - 2*c**h - c**4 = 0.
-1, 0, 1
Determine n, given that -8/11*n**2 + 0*n**3 + 0*n + 6/11*n**4 - 2/11*n**5 + 0 = 0.
-1, 0, 2
Let j(u) = u**3 - 4*u**2 + 2*u - 1. Let n be j(4). Suppose -3*s = n - 13. Factor 0 + 1/3*z**3 - 1/3*z**4 + 2/3*z**s + 0*z.
-z**2*(z - 2)*(z + 1)/3
Suppose -b - 3*p = -3, 5 = -b - 3*b + 5*p. Let d(k) = -k**3 - 4*k**2 + k - 17. Let r be d(-5). Factor b - 1/2*f**2 + 0*f + 1/2*f**5 - 1/2*f**r + 1/2*f**4.
f**2*(f - 1)*(f + 1)**2/2
What is j in -12*j**4 + 3*j**2 - j**2 + 4*j + 10*j**2 - 4*j**3 = 0?
-1, -1/3, 0, 1
Let r(h) = 6*h**2 + h. Let t(n) = 9*n**2 + n. Let k(y) = 8*r(y) - 5*t(y). Factor k(s).
3*s*(s + 1)
Suppose -2*h - v = 3*v + 4, -5*v = 5*h + 5. Let b(o) be the second derivative of 0 + h*o**2 - 1/54*o**4 - 1/27*o**3 - 2*o. Factor b(f).
-2*f*(f + 1)/9
Factor -2/5*g**3 - 4/5*g**2 + 0*g + 0.
-2*g**2*(g + 2)/5
Let r be 1408/(-256) - (-12 + 1). Factor -8 - r*a**4 - 28*a - 43/2*a**3 - 73/2*a**2 - 1/2*a**5.
-(a + 1)**3*(a + 4)**2/2
Let i = 25 + -32. Let m(h) = h**5 - h**3. Suppose -2*r + 2*n - 12 = 6*n, -n - 18 = 3*r. Let k(x) = -x**5 + x**3. Let p(f) = i*k(f) + r*m(f). Factor p(v).
v**3*(v - 1)*(v + 1)
Let o(w) be the third derivative of w**8/392 + 4*w**7/735 + w**6/420 - 10*w**2. Let o(x) = 0. Calculate x.
-1, -1/3, 0
Find p such that -4/3*p**3 + 0 + 0*p + 4/9*p**2 + 4/3*p**4 - 4/9*p**5 = 0.
0, 1
Let -4 + 2 + 9*j + 5 - 3*j + 3*j**2 = 0. What is j?
-1
Let q be (2/6)/(14/84). Suppose 0*z**q + 7/3*z**5 - 3*z**4 + 2/3*z**3 + 0*z + 0 = 0. Calculate z.
0, 2/7, 1
Suppose -c + x = -3, -x = c - 3*x - 2. Suppose 0 = -4*b - 2*r + 2 - 0, 21 = 3*b - 5*r. Factor 6*t**5 - b*t**3 + t**3 + t**c - 4*t**5.
t**3*(t + 1)*(2*t - 1)
Let a(z) be the second derivative of -17*z**4/4 - 19*z**3/2 - 3*z**2 + 25*z. Find s, given that a(s) = 0.
-1, -2/17
Let x be (3 - (-7)/(-2))*0. Let 2/9*s**2 + x*s - 2/9 = 0. Calculate s.
-1, 1
What is p in 0 - 18/5*p**2 + 3/5*p**3 + 27/5*p = 0?
0, 3
Let q(a) = -a**2 - 19*a + 24. Let y(s) = -s**2 + s - 1. Let b(j) = -q(j) - 4*y(j). Factor b(t).
5*(t - 1)*(t + 4)
Let c be (16/(-100))/((6/20)/(-3)). Factor 0*w + 8/5*w**3 - c*w**2 - 2/5*w**4 + 0.
-2*w**2*(w - 2)**2/5
Let u(g) be the first derivative of -2*g**6/21 + 2*g**5/7 - 10*g**3/21 + 2*g**2/7 + 9. What is a in u(a) = 0?
-1, 0, 1/2, 1, 2
Suppose 3*n + 2*c = 53, -2*c - 83 = -5*n - 4*c. Let a be 4/(-8) - n/(-14). Solve -2/7 - a*b - 2/7*b**2 = 0.
-1
Let b(v) be the first derivative of 2*v**5/35 - v**4/14 - 2*v**3/21 + v**2/7 - 3. Suppose b(y) = 0. What is y?
-1, 0, 1
Let u(w) = -6*w**3 - 7*w**2 + 19*w - 2. Let g(n) = n**2 - n - 1. Let s be 1*(-1)/(4 - 3). Let c(l) = s*u(l) - 4*g(l). Factor c(o).
3*(o - 1)*(o + 2)*(2*o - 1)
Let m(p) be the second derivative of -5*p**7/42 + p**6/2 - 3*p**5/4 + 5*p**4/12 + 20*p + 3. Factor m(b).
-5*b**2*(b - 1)**3
Let t(q) = q**4 + 16*q**3 + 6*q**2 - 10*q + 5. Let z(g) = g**4 + g**3 + g**2. Let d(o) = t(o) - 6*z(o). Determine x so that d(x) = 0.
-1, 1
Let i(u) = -1 - 10*u**3 + 3 + 2*u**3 - 6*u**4. Let q(v) = -30*v**4 - 40*v**3 + v**2 + 11. Let c(p) = 22*i(p) - 4*q(p). What is m in c(m) = 0?
-1, -1/3, 0
Let d(s) = -10*s**3 + 305*s**2 - 405*s + 145. Let m(p) = -p**3 + 34*p**2 - 45*p + 16. Let l(v) = -4*d(v) + 35*m(v). Factor l(t).
5*(t - 4)*(t - 1)**2
Let m(x) = -15*x**5 - 41*x**4 - 25*x**3 + x**2. Let h(l) = -30*l**5 - 83*l**4 - 50*l**3 + 3*l**2. Let q(a) = 6*h(a) - 13*m(a). Factor q(b).
5*b**2*(b + 1)**2*(3*b + 1)
Let d(r) be the third derivative of 1/6*r**4 + 0 + 1/60*r**5 + 0*r + 2/3*r**3 - 5*r**2. Factor d(l).
(l + 2)**2
Let n = -44/15 - -454/165. Let i = n - -28/33. Factor -10/9*h**2 + 2/9*h + 2/9 + i*h**3.
2*(h - 1)**2*(3*h + 1)/9
Suppose 2*u + 3*l = -u, u - 4*l - 25 = 0. Let z(t) be the first derivative of 0*t + 1/6*t**6 + 4/3*t**3 + 0*t**2 + t**u + 2*t**4 - 2. What is a in z(a) = 0?
-2, -1, 0
Let u be (-2)/7 + (-18)/(-14). Let x be (u - -2)/(3/2). Find j, given that -3*j**4 + 3*j + 2*j**2 + j**4 - x*j**3 - j = 0.
-1, 0, 1
Let y(g) be the third derivative of g**6/120 + g**5/30 + g**4/24 + 2*g**2 + 6. Determine m so that y(m) = 0.
-1, 0
What is q in -2*q**2 - q**2 + 5*q**2 + 8*q**5 - 8*q**3 - 4*q**4 + 2*q**2 = 0?
-1, 0, 1/2, 1
Factor -1/2*u - 3/4 + 1/4*u**2.
(u - 3)*(u + 1)/4
Let n(v) be the second derivative of 1/30*v**4 - 1/75*v**6 - 1/30*v**3 + 0*v**2 + 0*v**5 - v + 1/210*v**7 + 0. Factor n(s).
s*(s - 1)**3*(s + 1)/5
Solve 0 + 0*q + 3/7*q**5 - 3/7*q**2 - 9/7*q**4 + 9/7*q**3 = 0 for q.
0, 1
Let q(a) be the first derivative of -2*a**5/15 + a**4/6 + 6. Factor q(k).
-2*k**3*(k - 1)/3
Let z(q) = q**2 - 2. Let s(w) = -5*w**2 - 56*w - 386. Let n(a) = -2*s(a) - 6*z(a). Determine u, given that n(u) = 0.
-14
Let f(b) be the third derivative of 4*b**7/105 + b**6/30 - b**5/15 + 8*b**2. Factor f(o).
4*o**2*(o + 1)*(2*o - 1)
Let b(i) = -i**3 - 15*i**2 + i + 17. Let v be b(-15). Let 14/9*d**4 + 4/9*d - 22/9*d**3 + 0 - 14/9*d**v + 2*d**5 = 0. What is d?
-1, 0, 2/9, 1
Let i(z) be the second derivative of -z**4/36 - z**3/6 - 6*z. Suppose i(g) = 0. Calculate g.
-3, 0
Let k = 634 - 630. Determine m, given that 1/3 + k*m + 64/3*m**3 + 16*m**2 = 0.
-1/4
Factor 0 - 1/3*q**3 + 0*q**4 + 1/3*q**5 + 0*q**2 + 0*q.
q**3*(q - 1)*(q + 1)/3
Let z be 4/1 + (-22 - 4). Let f = z - -25. Factor 2/5*j**f + 2*j**2 + 6/5*j - 18/5.
2*(j - 1)*(j + 3)**2/5
Let l(y) = -y**2 + 7*y + 4. Let d be l(4). What is x in 2 + 6*x + 25*x**2 - d*x - 1 = 0?
1/5
Factor -9/2 + 3/2*a + 1/2*a**3 + 5/2*a**2.
(a - 1)*(a + 3)**2/2
Let v(h) = 23*h**2 + 65*h + 25. Let d(m) = 8*m**2 + 22*m + 8. Let w(i) = -17*d(i) + 6*v(i). Factor w(x).
2*(x + 1)*(x + 7)
Let r(z) be the third derivative of 0*z + 1/60*z**5 - 1/120*z**6 + 0*z**3 + 1/24*z**4 - 1/210*z**7 + z**2 + 0. Let r(p) = 0. Calculate p.
-1, 0, 1
Suppose 0 = -5*v + 25, -5*v + 4 = -4*m + 11. Solve m*j**2 + 2*j + 0 - 7/2*j**4 + 5/2*j**3 = 0.
-1, -2/7, 0, 2
Suppose 10*r**2 + 2*r + 5*r**5 - 12*r**3 + 2*r - 5 + r + 2*r**3 - 5*r**4 = 0. What is r?
-1, 1
Let b(s) be the third derivative of s**8/672 + s**7/140 + s**6/80 + s**5/120 + 2*s**2. Let b(n) = 0. What is n?
-1, 0
Let o(y) = -12*y**2 - 2*y + 2. Let b be o(1). Let x(f) = f**3 + 12*f**2 + 2. Let p be x(b). Suppose 4/3*c - 2*c**p - 1/3 - 1/3*c**4 + 4/3*c**3 = 0. What is c?
1
Let g = -84 + 84. Let u(w) be the second derivative of -2*w - 1/9*w**3 + g + 0*w**2 + 0*w**4 + 1/30*w**5. Let u(m) = 0. Calculate m.
-1, 0, 1
Let p(o) = 2*o + 1. Let b be p(1). Let n = -4 - -8. Factor -b*d**2 + 2*d - 3*d**3 + 2*d**n - 4*d**5 + d**5 + 5*d**4.
-d*(d - 1)**3*(3*d + 2)
Let b be (-515 + 5)*16/(-42). Let m = -194 + b. Suppose -m*s - 2/7*s**4 - 6/7*s**3 + 0 - 6/7*s**2 = 0. Calculate s.
-1, 0
Let z be (-21)/28*2/(-3). Let h(f) be the first derivative of 2*f - f**2 + z*f**4 - 2/3*f**3 - 2. Factor h(v).
2*(v - 1)**2*(v + 1)
Suppose -1 = v + 7. Let s(o) = o**2 + 7*o - 5. Let x be s(v). 