- f**2 - f + 2. Let w be o(0). Factor t**w - 6*t**2 - t**3 - 2*t**3 + 8*t**2.
-3*t**2*(t - 1)
Let a(i) be the second derivative of -i**6/240 + i**5/80 - i**4/96 + 5*i. Factor a(m).
-m**2*(m - 1)**2/8
Let i(m) be the second derivative of -1/20*m**5 - 1/2*m**2 + 1/6*m**3 - m + 0 + 1/12*m**4. Determine n, given that i(n) = 0.
-1, 1
Suppose 164*w = 186*w - 44. What is c in 0 + 3/2*c**4 + c**w + 0*c + 5/2*c**3 = 0?
-1, -2/3, 0
Let z = -14 - -23. Let q be 6/21*(z - 2). Factor 3*a**2 + 6*a + a**q - 2*a**3 - 4*a**4 - 4*a.
-2*a*(a - 1)*(a + 1)*(2*a + 1)
Find o such that -2/5 - 3/5*o**3 + 1/5*o**2 + 3/5*o + 1/5*o**4 = 0.
-1, 1, 2
Factor 3/4*r**2 + 0 + 3/2*r.
3*r*(r + 2)/4
Let k(r) = r**3 + 7*r**2 - 9*r - 8. Let i be k(-8). Let v be (-6)/8 + (-55)/(-20). Factor i - 2/9*m**v - 2/9*m.
-2*m*(m + 1)/9
Let c(i) = i**2 + i. Let q(n) = 11*n**2 + 24*n + 12. Let y(t) = -20*c(t) + 5*q(t). Factor y(r).
5*(r + 2)*(7*r + 6)
Suppose -4*c + 0*c + 8 = 0, 3*h - 3*c = 3. Suppose 0*f = -o + 2*f + 7, -h*f - 8 = -o. Factor -4 + o + 1 - 4*l - 2*l**4 + 4*l**3.
-2*(l - 1)**3*(l + 1)
Let o(u) be the first derivative of -3/4*u**4 + 0*u**3 - 3/5*u**5 + 5 + 0*u**2 + 0*u. Find w, given that o(w) = 0.
-1, 0
Factor 27*l**2 + 4*l - 4*l**3 + 6 - 2 - 31*l**2.
-4*(l - 1)*(l + 1)**2
Let u(i) = i**3 + i**2 - 25*i - 25. Let y be u(-5). Factor 1/5*b**5 + 2/5*b**2 + 0*b**4 - 3/5*b**3 + y*b + 0.
b**2*(b - 1)**2*(b + 2)/5
Let o(s) be the second derivative of s**2 + 0 + 1/240*s**5 + 1/24*s**3 + s - 1/48*s**4. Let d(j) be the first derivative of o(j). Find g such that d(g) = 0.
1
Let d be -7 + 1 + (9 - (-3)/(-1)). Solve d + 0*w + 2/13*w**3 + 6/13*w**5 + 8/13*w**4 + 0*w**2 = 0.
-1, -1/3, 0
Factor -31*w - 40*w**2 - 4 - 3*w**5 + 11*w - 40*w**3 - w**5 - 20*w**4.
-4*(w + 1)**5
Factor 5*t**3 - 5*t - 3 - 2 + 2*t**2 + 2*t**2 + t**2.
5*(t - 1)*(t + 1)**2
Suppose 0 = -3*n + n + 4. Let o(g) be the second derivative of 2/3*g**3 + 0 + 2*g - 1/6*g**4 - g**n. Determine s, given that o(s) = 0.
1
Let a(z) = -13*z**3 - 12*z**2 + 17. Let m(y) = -4*y**3 - 4*y**2 + 6. Let q(g) = 6*a(g) - 17*m(g). Suppose q(h) = 0. Calculate h.
-2/5, 0
Determine t, given that 5*t - 4*t**3 - 3 - 4*t**2 - t + 7 = 0.
-1, 1
Let y = 138 - 134. Let f be 1/(-4)*-3 - 0. Solve f*h**5 - 3/2*h**2 - 3/2*h**3 + 3/4*h + 3/4*h**y + 3/4 = 0 for h.
-1, 1
Let j be -7*-2*2/(-4). Let x(z) = 5*z**4 - 3*z**3 - 5*z**2 - z + 4. Let o(r) = -9*r**4 + 5*r**3 + 9*r**2 + 2*r - 7. Let u(q) = j*x(q) - 4*o(q). Factor u(g).
g*(g - 1)*(g + 1)**2
Let i(a) be the third derivative of 2*a**7/525 + a**6/75 - a**5/25 - 4*a**4/15 - 8*a**3/15 - 4*a**2. Factor i(f).
4*(f - 2)*(f + 1)**2*(f + 2)/5
Let k = -10 + 16. Let b(d) be the second derivative of 1/15*d**5 - d + 0 + 1/15*d**k + 0*d**3 + 0*d**2 - 1/18*d**4. What is y in b(y) = 0?
-1, 0, 1/3
Let u(x) = -x**2 + 7*x + 5. Let w be u(6). Let d = -8 + w. Determine q so that 0 - 1/3*q**2 + 1/3*q**d + 0*q = 0.
0, 1
Let l(v) = v**2 + v - 2. Let h be l(1). Suppose 2/7*t**3 + h + 0*t + 0*t**2 = 0. What is t?
0
Let l(c) be the second derivative of -c - 3/50*c**5 + 0*c**4 + 3/10*c**2 + 1/5*c**3 + 0 - 1/50*c**6. Factor l(q).
-3*(q - 1)*(q + 1)**3/5
Let q(u) be the first derivative of -2*u**3/3 + 3*u**2 - 4*u + 11. Solve q(a) = 0 for a.
1, 2
Let r(l) be the first derivative of -l**3/8 + 9*l**2/16 + 15*l/4 - 41. Suppose r(c) = 0. What is c?
-2, 5
Let i(j) be the second derivative of -2*j**6/15 + j**5/5 + 3*j**4 + 22*j**3/3 + 8*j**2 + 4*j + 1. Determine t so that i(t) = 0.
-1, 4
Let z(s) be the second derivative of -1/15*s**3 - 8*s + 1/30*s**4 + 0 - 2/5*s**2. Solve z(r) = 0 for r.
-1, 2
Let v be ((-7)/420)/(-1*(-2)/(-4)). Let p(j) be the third derivative of 4*j**2 - v*j**5 + 2/3*j**3 - 1/12*j**4 + 0*j + 0. Solve p(a) = 0.
-2, 1
Let x(r) be the third derivative of 0*r - 1/35*r**5 - 2*r**2 - 1/21*r**3 - 1/735*r**7 - 1/21*r**4 - 1/105*r**6 + 0. Factor x(c).
-2*(c + 1)**4/7
Let q(u) be the second derivative of u**6/70 + 9*u**5/70 - 27*u**3/7 - 243*u**2/14 - 17*u. Let q(x) = 0. Calculate x.
-3, 3
Let f(y) = 9*y**5 + 19*y**4 + 48*y**3 + 45*y**2 + 7*y + 5. Let b(w) = -5*w**5 - 9*w**4 - 24*w**3 - 23*w**2 - 3*w - 3. Let l(r) = 5*b(r) + 3*f(r). Factor l(j).
2*j*(j + 1)**3*(j + 3)
Let i(w) = w + 1. Let r be i(3). Suppose r*p - 5*p + 29 = 5*f, 2*p - 13 = -f. Factor -x**4 - x**5 - p*x**4 + 4*x**4.
-x**4*(x + 1)
Solve 2/7*m**5 - 4/7*m**2 - 4/7*m**3 + 2/7*m + 2/7 + 2/7*m**4 = 0 for m.
-1, 1
Let j = -20 - -12. Let s be (8/10)/(j/(-20)). Factor -r**2 - 5*r**2 + 2*r + s*r**3 + 2*r**2.
2*r*(r - 1)**2
Let w(f) be the first derivative of -3*f**4/16 - 5*f**3/4 - 21*f**2/8 - 9*f/4 + 14. Factor w(y).
-3*(y + 1)**2*(y + 3)/4
Let p(l) be the second derivative of -l**7/189 + 4*l**6/135 - l**5/18 + l**4/27 - 3*l. Find a such that p(a) = 0.
0, 1, 2
Let u(s) be the second derivative of -s**6/1980 + s**4/132 - s**3/2 + s. Let b(i) be the second derivative of u(i). Solve b(m) = 0 for m.
-1, 1
Let d(z) = -2*z**3 - 6*z**2 - 6*z - 8. Let k(i) = 4*i**3 - 2*i + 12*i**2 + 5 + 14*i + 10. Let y(h) = 11*d(h) + 6*k(h). Solve y(o) = 0.
-1
Let l(u) be the first derivative of -3 - 2/7*u + 2/7*u**4 + 2/3*u**3 + 2/7*u**2. Factor l(k).
2*(k + 1)**2*(4*k - 1)/7
Let q(s) = s**3 + 4*s**2 - 4*s + 4. Let x be q(-5). Let w be 2/(x - (-15)/9). Factor -a**3 + 7*a - w*a - 3*a.
-a*(a - 1)*(a + 1)
Let p(b) = b**2 - 5*b - 5. Let c(o) = o**2 - 4*o - 4. Let k(q) = -5*c(q) + 4*p(q). Factor k(a).
-a**2
Let k be (2 - 0 - 2)/2. Let q = k - 0. Find f such that -f + q*f - f**2 + 0*f = 0.
-1, 0
Factor 1/2*b**4 - 1/4*b**3 + 0 - 1/2*b**2 + 1/4*b**5 + 0*b.
b**2*(b - 1)*(b + 1)*(b + 2)/4
Let o(i) = -i**3 - 4*i**2 - 3*i + 4. Let c be o(-3). Factor -2*w**2 - 6*w**3 + 7*w**3 + 0*w**c + w**4.
w**2*(w - 1)*(w + 2)
Let g(h) be the third derivative of -h**8/1680 + h**7/210 - 3*h**6/200 + 7*h**5/300 - h**4/60 + 5*h**2 - 3. Determine t, given that g(t) = 0.
0, 1, 2
Suppose -4*t + 20 = -0*t, -2*b = -3*t + 31. Let f = b + 11. Factor -2*s**f - 2 + 0 + 6*s**2 + 4 + 0 - 6*s.
-2*(s - 1)**3
Let p(z) be the second derivative of 0*z**3 + 1/42*z**4 + 3*z + 0 + 0*z**2. Factor p(u).
2*u**2/7
Let w = -11 + 6. Let d(t) = -10*t**3 + 4*t**2 + 5*t - 9. Let j(s) = s + 1. Let p(k) = w*j(k) - d(k). Factor p(b).
2*(b - 1)*(b + 1)*(5*b - 2)
Let n(g) be the second derivative of 0 - 4*g + 0*g**3 + 1/36*g**4 + 0*g**2. Determine b, given that n(b) = 0.
0
Let c(f) be the second derivative of -f**4/6 + 3*f. Factor c(n).
-2*n**2
Let j(z) be the third derivative of -6*z**2 + 0 + 1/72*z**4 + 1/315*z**7 + 1/18*z**3 + 0*z - 1/60*z**5 - 1/360*z**6. Determine b, given that j(b) = 0.
-1, -1/2, 1
Let h(m) be the first derivative of -2*m**7/7 - m**6/10 + 3*m**5/5 + m**4/4 - 3*m + 2. Let v(j) be the first derivative of h(j). Determine g so that v(g) = 0.
-1, -1/4, 0, 1
Let v(y) = -2*y**3 - 56*y**2 - y - 28. Let i be v(-28). Factor i + 2/3*x**2 - 2/3*x.
2*x*(x - 1)/3
What is a in 4/17*a + 0 + 2/17*a**2 = 0?
-2, 0
Let i(f) = 35*f**4 - 3*f**3 - 13*f**2. Let c(x) = 34*x**4 - 4*x**3 - 12*x**2. Suppose 4*h + 0*h - 16 = 0. Let y(n) = h*i(n) - 5*c(n). Find z such that y(z) = 0.
-2/5, 0, 2/3
Factor 8/11 + 2/11*d**2 - 16/11*d + 6/11*d**3.
2*(d - 1)*(d + 2)*(3*d - 2)/11
Let t(z) be the third derivative of -5*z**8/168 + 29*z**6/300 - z**4/15 + 10*z**2. Let t(v) = 0. Calculate v.
-1, -2/5, 0, 2/5, 1
Let i(r) be the first derivative of 18*r**5/35 + 12*r**4/7 - 16*r**3/21 - 32*r**2/7 + 32*r/7 + 8. Factor i(o).
2*(o + 2)**2*(3*o - 2)**2/7
Let s be 2 + 1 + -4 + 3. Determine t so that -3 - 10*t**3 + 36*t + 4*t**s + 2*t**2 - 14*t**3 + 21*t**4 - 6*t**5 - 30*t = 0.
-1/2, 1
Factor -5/3*q + 0 - 5/3*q**3 - 10/3*q**2.
-5*q*(q + 1)**2/3
Let j = 3 - 0. Let x(z) be the third derivative of -1/3*z**j - 1/60*z**6 + 1/12*z**4 + 0*z + 0 + 1/30*z**5 + 2*z**2. Factor x(f).
-2*(f - 1)**2*(f + 1)
Let y(b) be the second derivative of -b**5/4 + 5*b**4/6 - 5*b**3/6 + 10*b. Solve y(c) = 0 for c.
0, 1
Let i(y) = y**3 + 7*y**2 + 6*y + 7. Let g be i(-6). Suppose -2*b - 1 - 1 = -2*j, -5*b = -j - g. Factor j*a**4 + 5 - 5.
3*a**4
Let j = -55 - -57. Solve -1/3*i**j - 1/3*i + 2/3 = 0.
-2, 1
Suppose -5*p - 5*o = 0, 3*p - 3*o - 3 = 5*p. Let t = -4 - -5. Factor 3*x**2 - 6*x**p - t + 11*x + 1 - 2*x.
-3*x*(x + 1)*(2*x - 3)
Let j(c) be the third derivative of -c**8/1344 + c**7/840 + c**6/240 + 8*c**2. Solve j