or 1/4*d**2 + 0 + 1/4*d**3 + g*d.
d**2*(d + 1)/4
Let n(q) be the third derivative of q**8/1512 - q**7/945 - 3*q**2. Factor n(t).
2*t**4*(t - 1)/9
Let q(j) = -25*j**2 + 15*j + 10. Let z(b) = -b**2 + b. Let a(o) = q(o) - 20*z(o). Solve a(n) = 0 for n.
-2, 1
Suppose -51 + 95 + 2*g**4 - 8*g**2 - 44 = 0. What is g?
-2, 0, 2
Let w(p) be the third derivative of -p**7/420 - p**6/120 + p**5/40 + p**4/6 + p**3/3 + 21*p**2. Solve w(r) = 0 for r.
-2, -1, 2
Find v, given that -8 + 20*v + 18*v**4 - 4*v**5 + 9*v**3 + v**5 - 6*v**2 - 4*v**4 - 26*v**3 = 0.
-1, 2/3, 1, 2
Solve 8/5*u**3 + 2/5*u**4 - 12/5*u**2 - 8/5*u + 2 = 0 for u.
-5, -1, 1
Let d(k) be the first derivative of 3 + 1/7*k**4 + 0*k - 2/35*k**5 + 0*k**2 + 0*k**3. Factor d(c).
-2*c**3*(c - 2)/7
Let t be (-2)/240 + 26/195. Let x(v) be the second derivative of t*v**4 + 3/4*v**2 + 0 + 1/2*v**3 - v. Find j such that x(j) = 0.
-1
Suppose 5/4*j**4 - 15/2*j**3 - 15*j + 65/4*j**2 + 5 = 0. What is j?
1, 2
Let h(c) = c**2 + 8*c + 2. Let v be h(-8). Determine i so that -i + v*i**2 - 2 + i + 2*i - 2*i**3 = 0.
-1, 1
Let f(y) be the first derivative of -y**4/14 - 2*y**3/21 + 15. Determine x so that f(x) = 0.
-1, 0
Suppose -4*o = -2*o + 3*o. Let v(d) be the second derivative of d**2 + o*d**3 - d + 0 - 1/6*d**4. Factor v(c).
-2*(c - 1)*(c + 1)
Let p(v) be the second derivative of -v**4/32 - 7*v**3/4 - 147*v**2/4 - 10*v. Factor p(k).
-3*(k + 14)**2/8
Let d be (-1971)/405 - 10/(-2). Let j(u) be the first derivative of d*u**5 + 2/3*u**4 + 2 + 4/3*u**2 + 2/3*u + 4/3*u**3. Find k, given that j(k) = 0.
-1
Let r(p) = -5*p**3 + 10*p**2 + p - 10. Let v(b) = -b. Let a(u) = -r(u) + 4*v(u). What is h in a(h) = 0?
-1, 1, 2
Let t = -2 + 4. Factor 1/2*s**4 + 0 + 1/2*s**5 + 0*s - 1/2*s**3 - 1/2*s**t.
s**2*(s - 1)*(s + 1)**2/2
Let u(l) = l**2 - 5*l - 10. Let r be (-14)/(-4)*2*1. Let a be u(r). Determine p, given that -2/5*p**2 + 2/5*p**a + 0*p + 0 + 0*p**3 = 0.
-1, 0, 1
Let n(k) be the first derivative of 2*k**3/3 - k**2 - 1. Factor n(y).
2*y*(y - 1)
Factor -o**2 + 2*o**2 - 3*o**5 + 6*o**4 - o**2 - 3*o**3.
-3*o**3*(o - 1)**2
Let c(l) = 24*l + 60. Let w(t) = -t**2 + 24*t + 61. Let f(h) = -3*c(h) + 4*w(h). What is k in f(k) = 0?
-2, 8
Let l be (-7)/((-70)/4)*1. Suppose 24*t = 25*t. Suppose -l*h**3 + 2/5*h + 0*h**2 + t = 0. What is h?
-1, 0, 1
Factor 2/13*f**3 + 0*f**2 + 2/13*f**5 + 0*f + 4/13*f**4 + 0.
2*f**3*(f + 1)**2/13
Let l(a) be the first derivative of a**5 - 5*a**4/4 + 12. Factor l(v).
5*v**3*(v - 1)
Let r(x) = -x**3 + 8*x**2 - 5*x - 10. Let b be r(7). Suppose 4*u**2 + 2*u**b + u**3 - 5*u**4 + u**5 - u**2 - 2*u = 0. Calculate u.
-1, 0, 1, 2
Let t = 56 - 838/15. Let o(f) be the first derivative of 3 + 0*f - t*f**3 + 1/5*f**2. Let o(d) = 0. What is d?
0, 1
Suppose 0 = 5*f - 11 + 1. What is q in 16*q - 4*q**f - 11 + 7 - 8 = 0?
1, 3
Suppose q + 4*q - 55 = 0. Factor q*g + 4*g**2 - 3*g**3 - 6 - 2*g - 4*g**2.
-3*(g - 1)**2*(g + 2)
Let -2475*q**4 - 8*q**2 - 4*q**3 + 2473*q**4 + 12*q**3 = 0. Calculate q.
0, 2
Let g(i) = i + 11. Let h be g(-8). Let s be (5/10)/(h/2). What is u in s*u**2 + 0 - 1/3*u = 0?
0, 1
Let w(o) be the second derivative of -o**5/70 - o**4/42 + o**3/21 + o**2/7 - 6*o + 4. Determine f, given that w(f) = 0.
-1, 1
Suppose 0 - 2/5*i - 1/5*i**5 + 3/5*i**3 - 1/5*i**2 + 1/5*i**4 = 0. What is i?
-1, 0, 1, 2
Let b be 25/4 + 1/(-4). Suppose -6*z + 3*z + b = 0. Let 2/7*f - 8/7*f**z + 4/7*f**3 + 8/7*f**4 + 0 - 6/7*f**5 = 0. What is f?
-1, 0, 1/3, 1
Factor -12*j + 6*j**2 - 3 + 12 - 5 - 2*j.
2*(j - 2)*(3*j - 1)
Let m(r) be the third derivative of r**6/1080 - r**5/180 + r**3/6 + 2*r**2. Let v(w) be the first derivative of m(w). Factor v(q).
q*(q - 2)/3
Let i(f) be the first derivative of f**6/120 + 3*f**5/20 + 9*f**4/8 - f**3/3 - 6. Let v(q) be the third derivative of i(q). Factor v(m).
3*(m + 3)**2
Let o(u) = 2*u**3 + 7*u**2 - 16*u - 1. Let y(g) = g**3 + 3*g**2 - 8*g. Let z(l) = 3*o(l) - 5*y(l). Let i be z(-7). Factor -k**3 - k**4 + k**i - k**4.
-k**3*(k + 1)
Let z(q) = -q - 2. Let y be z(-4). Factor -v**3 - 6*v**y + 6*v**4 + 3*v**3 + 3*v**5 + 5*v**3 - 10*v**3.
3*v**2*(v - 1)*(v + 1)*(v + 2)
Factor 8*v**4 + 16 + 4*v**5 - 8*v - 3*v**5 + v**5 + 2*v**3 - 20*v**2.
2*(v - 1)**2*(v + 2)**3
Determine f so that 1/8*f**3 + 1/8*f**2 + 0*f + 0 = 0.
-1, 0
Let n(c) be the second derivative of -c**9/1008 + c**8/560 + c**7/280 - c**6/120 + c**3/2 - 4*c. Let f(h) be the second derivative of n(h). Factor f(y).
-3*y**2*(y - 1)**2*(y + 1)
Let z be -3 + 5 - (-1 - 124/(-44)). Find s such that 0 - z*s**3 + 0*s + 2/11*s**2 = 0.
0, 1
Let c(i) = i**3 - 9*i**2 + 7*i + 10. Let l be c(8). Let s be (-1)/10 - (-3)/6. Find j such that 0 - 2/5*j**l + 2/5*j**3 + 0*j + s*j**4 - 2/5*j**5 = 0.
-1, 0, 1
Suppose -1/4*q**4 + 0 + 0*q + 1/4*q**3 + 1/4*q**2 - 1/4*q**5 = 0. Calculate q.
-1, 0, 1
Suppose 0 = -3*x - 4*r + 24, 0 = -2*x + 3*r - 1 - 0. Let g be (-2 + 2 - 2) + x. Factor g*k**2 + 3*k - 4*k + 8 + 9*k.
2*(k + 2)**2
Let b(y) be the third derivative of y**7/1680 + y**6/360 + y**5/240 + y**3/6 - 3*y**2. Let j(c) be the first derivative of b(c). Factor j(l).
l*(l + 1)**2/2
Let t(g) be the third derivative of g**5/5 - 3*g**4/2 + 9*g**3/2 + 33*g**2. Factor t(o).
3*(2*o - 3)**2
Let a(z) be the second derivative of z**7/105 - 4*z**6/75 + 8*z**4/15 - 16*z**3/15 + 28*z. Determine n so that a(n) = 0.
-2, 0, 2
Factor 0*a + 2/3*a**3 + 2/3*a**2 - 4/3*a**4 + 0.
-2*a**2*(a - 1)*(2*a + 1)/3
Let s = -99/28 + 1858/525. Let c(g) be the third derivative of 2*g**2 + 0*g**3 + 0 - 2/525*g**7 - s*g**6 + 0*g + 1/150*g**5 + 0*g**4. Solve c(w) = 0.
-1, 0, 1/2
Find l such that 0*l + 3/2*l**2 + 0 + 3/4*l**3 = 0.
-2, 0
Let n(z) be the first derivative of 2*z**5/25 + 4*z**4/5 + 16*z**3/5 + 32*z**2/5 + 32*z/5 - 37. Factor n(l).
2*(l + 2)**4/5
Let u(l) = l - 14. Let g be u(17). Suppose h = -g*h. Factor h + 0*d**3 + 0*d + 2/3*d**2 - 2/3*d**4.
-2*d**2*(d - 1)*(d + 1)/3
Let n = -2 - 6. Let a be (6/n)/((-30)/80). Factor 2/11*w**4 + 0*w**a + 0*w - 2/11*w**3 + 0.
2*w**3*(w - 1)/11
Let p(w) = w - 3. Let b be p(6). Let r be (6/b)/(-4)*-10. Solve -2*u**5 + 3*u**r + u**2 + 3*u**3 + 0*u**5 + 3*u**4 = 0.
-1, 0
Determine m, given that -5/4*m**2 + 1/4*m**3 + 2*m - 1 = 0.
1, 2
Solve 7*l**4 + 2*l**3 - 13*l**4 + 2*l**2 - 2*l**5 + 4*l**4 = 0.
-1, 0, 1
Solve 0*y**5 - y**3 + 0*y**3 - 2*y**5 + 3*y**3 = 0 for y.
-1, 0, 1
Let f be (-2)/(-5) - 30/100. Let j(t) be the first derivative of -1 - f*t**2 + 0*t + 1/5*t**4 + 1/5*t**3. Let j(b) = 0. What is b?
-1, 0, 1/4
Let c be (9 + -23)*(-1 - 0). Let y be (-29)/(-35) - 6/c. Factor -2*p - y*p**5 - 4*p**2 - 2/5 - 2*p**4 - 4*p**3.
-2*(p + 1)**5/5
Let k(p) be the first derivative of p**7/210 - p**6/20 + 13*p**5/60 - p**4/2 + 2*p**3/3 - p**2/2 - 3. Let x(c) be the second derivative of k(c). Factor x(i).
(i - 2)**2*(i - 1)**2
Let b(i) = -i**2 - i + 1. Let y(l) = -8*l**2 - 10*l + 6. Let h(c) = -6*b(c) + y(c). Factor h(m).
-2*m*(m + 2)
Let s(v) be the first derivative of 0*v - 4 + 2/9*v**3 + 1/6*v**4 + 0*v**2. Suppose s(l) = 0. Calculate l.
-1, 0
Let l(k) be the third derivative of k**7/735 + k**6/84 + 4*k**5/105 + k**4/21 + 28*k**2. Factor l(g).
2*g*(g + 1)*(g + 2)**2/7
Let a be 64/12 + -3 - 10/5. Factor 0 - 1/3*s**4 + 0*s**3 + 0*s**2 + 0*s - a*s**5.
-s**4*(s + 1)/3
Suppose -4*x + 5*y + 17 = -32, 2*y + 28 = 3*x. Let q be x/2 + (-2)/2. Factor 4*t**3 - 2*t**4 - 2*t**4 - q*t**2 + 2*t**4.
-2*t**2*(t - 1)**2
Factor -16/5*x**3 + 0*x - 8/5*x**2 - 2*x**4 - 2/5*x**5 + 0.
-2*x**2*(x + 1)*(x + 2)**2/5
Let q = 63/2 + -31. Suppose -4*u - 26 = -5*m, -4*u - 24 = -5*m + m. Factor -m*s**3 - 3*s**2 - q - 2*s - 1/2*s**4.
-(s + 1)**4/2
Let q(s) be the third derivative of s**8/1008 - s**7/315 + s**5/90 - s**4/72 - 2*s**2. Suppose q(b) = 0. Calculate b.
-1, 0, 1
Let i = 1 + 1. Let b(p) = p**3 + 4*p**2 - 4*p + 7. Let n be b(-5). Factor l**n - l**i - 2*l**2.
-2*l**2
Let q(h) = -h**3 + 4*h**2 - h - 3. Let m be q(3). What is o in -m - 16*o - 17*o**2 + 12*o**3 + 4*o + 20*o**2 = 0?
-1, -1/4, 1
Find z, given that z**4 - z**2 - 1/2*z**5 + 0*z**3 + 1/2*z + 0 = 0.
-1, 0, 1
Let b be 1/7 + (-60)/1008. Let c(j) be the third derivative of -b*j**3 + 1/120*j**5 - j**2 + 0 + 0*j + 0*j**4. Solve c(x) = 0.
-1, 1
Let j(b) be the first derivative of 4*b**4 - 2*b**2 + 6. Let j(z) = 0. Calculate z.
-1/2, 0, 1/2
Let s(j) = j