 s**2 - 1/2*s**5 - 1/2*s + s**q - 1/2.
-(s - 1)**2*(s + 1)**3/2
Let c(i) be the second derivative of -i**4/21 + 2*i**3/7 - 4*i**2/7 - 15*i. Find d such that c(d) = 0.
1, 2
Let u(f) be the second derivative of f**4/36 + f**3/18 - f**2/3 - 13*f. Determine j so that u(j) = 0.
-2, 1
Factor -5/3*o**2 + o + 2/3.
-(o - 1)*(5*o + 2)/3
Let p(w) = 3*w**4 - 4*w**3 - 7*w**2 - 5*w - 5. Suppose -a - a = -6. Let x(n) = 2*n**4 - 2*n**3 - 4*n**2 - 3*n - 3. Let z(f) = a*p(f) - 5*x(f). Factor z(c).
-c**2*(c + 1)**2
Let h(s) be the third derivative of -1/120*s**5 - 4*s**2 + 0 + 1/24*s**3 - 1/96*s**4 - 1/1344*s**8 + 1/840*s**7 + 0*s + 1/240*s**6. Factor h(q).
-(q - 1)**3*(q + 1)**2/4
Let i(o) be the second derivative of -o**4/3 - 2*o**3 - 4*o. Factor i(r).
-4*r*(r + 3)
Suppose -4*v - 4 = -12. Suppose v*s + 3 = 3*s. Factor -1/3*x**2 + x**s - 1/3*x**4 + 2/3 - x.
-(x - 2)*(x - 1)**2*(x + 1)/3
Let g(s) be the first derivative of 0*s**2 - s**4 - 3 + 2/3*s**3 + 2/5*s**5 + 0*s. Solve g(n) = 0.
0, 1
Let w(c) be the second derivative of -2*c**7/189 - c**6/135 + 7*c**5/90 - c**4/54 - 5*c**3/27 + 2*c**2/9 + 3*c. Solve w(q) = 0 for q.
-2, -1, 1/2, 1
Suppose 3*b - 2*v + 2 = 0, b + 5 = v + 4. Factor 0*m**3 + 1/4*m**4 - 1/2*m**2 + 1/4 + b*m.
(m - 1)**2*(m + 1)**2/4
Let c = 1/25 - -14/25. Let g(x) be the second derivative of 3/5*x**5 - x - c*x**6 + 0 + 0*x**3 - 1/6*x**4 + 0*x**2. Factor g(v).
-2*v**2*(3*v - 1)**2
Let v(m) be the second derivative of 0*m**2 - 3*m + 1/12*m**4 + 1/6*m**3 + 0. Let u(a) = -2*a**2 - 2*a. Let o(k) = u(k) + 4*v(k). Suppose o(g) = 0. What is g?
-1, 0
Let l be (4/(-5))/(10/(-50)). Suppose -5*j = -j - 8. Factor -8/9*m**j - 8/9*m**l + 0 + 4/3*m**3 + 2/9*m**5 + 2/9*m.
2*m*(m - 1)**4/9
Let r = 65 - 62. Let b(q) be the third derivative of -2*q**2 - 1/36*q**4 + 0 - 1/540*q**6 - 1/90*q**5 + 0*q - 1/27*q**r. Suppose b(z) = 0. What is z?
-1
Factor 252/5*s**4 + 0 + 26/5*s**3 + 162/5*s**5 - 56/5*s**2 + 8/5*s.
2*s*(s + 1)**2*(9*s - 2)**2/5
Let b = 10 + -2. Let g be ((-9)/12)/((-9)/b). Solve -2/3*w**4 + 0 - g*w + 2/3*w**2 + 2/3*w**3 = 0.
-1, 0, 1
Let p be 2/9 - (-506)/(-9). Let r be p/(-90) - (-20)/(-90). Factor -2*i - 14/5*i**3 + 4/5*i**4 + 18/5*i**2 + r.
2*(i - 1)**3*(2*i - 1)/5
Let m(b) be the second derivative of b**5/120 - 5*b**4/72 + 7*b**3/36 - b**2/4 - 46*b. Find j, given that m(j) = 0.
1, 3
Let d(m) be the first derivative of -1/9*m**3 + 0*m**2 + 8 + 0*m - 1/30*m**5 + 1/8*m**4. Factor d(j).
-j**2*(j - 2)*(j - 1)/6
Let 0*d + 0 - 2/11*d**4 - 64/11*d**3 - 512/11*d**2 = 0. Calculate d.
-16, 0
Let t(y) be the third derivative of y**8/112 + y**7/10 + 19*y**6/40 + 5*y**5/4 + 2*y**4 + 2*y**3 + 3*y**2 - 1. Factor t(b).
3*(b + 1)**3*(b + 2)**2
What is x in -25*x**2 + 8*x**3 - 37*x**2 - 8*x**4 + 76*x**2 + 4*x = 0?
-1/2, 0, 2
Let f be (-6)/(-4)*(-24)/(-9). Factor -13*v**4 - 3*v**5 + 3*v**4 - f*v**2 - 2*v**2 - v - 12*v**3.
-v*(v + 1)**3*(3*v + 1)
Let s be 34/(-10) - -1 - -3. Determine w, given that -s*w**3 - 1/5*w + 0 + 1/5*w**4 + 3/5*w**2 = 0.
0, 1
Let h(x) be the third derivative of x**7/560 - x**6/320 - x**5/160 + x**4/64 - 8*x**2. Let h(j) = 0. What is j?
-1, 0, 1
Let h(x) be the third derivative of -x**5/20 + 9*x**4/4 - 81*x**3/2 - 5*x**2. Determine f so that h(f) = 0.
9
Let q(v) be the first derivative of 1/4*v**4 + 0*v + 0*v**2 - 1/6*v**6 - 1/3*v**3 + 1/5*v**5 + 1. Factor q(d).
-d**2*(d - 1)**2*(d + 1)
Let v(g) be the second derivative of g**4/54 - 8*g**3/9 + 16*g**2 - 19*g. Find m, given that v(m) = 0.
12
Factor -3*l**2 - 4*l**2 + 4*l**2 - 3*l**2 - 3*l - 3*l**3.
-3*l*(l + 1)**2
Factor 18*r**3 - 24*r**2 - 1/2 + 13/2*r.
(r - 1)*(6*r - 1)**2/2
Let a be 2/(-2)*(-3 - -7). Let v be ((-16)/(-20) + -1)*a. Let -v*b + 4/5*b**3 - 1/5*b**2 + 1/5 = 0. What is b?
-1, 1/4, 1
Let t be 4/6*(-4)/(-8). Suppose 4/3*w**2 - t*w**3 + 0 - 4/3*w = 0. What is w?
0, 2
Suppose 4*j - 12 - 28 = 0. Let l(h) = -h**2 + 10*h + 2. Let s be l(j). Determine d so that -2/3*d**s - 2/3 - 4/3*d = 0.
-1
Let r(i) be the third derivative of i**10/604800 - i**8/40320 + i**6/2880 + i**5/30 + 3*i**2. Let d(c) be the third derivative of r(c). Factor d(z).
(z - 1)**2*(z + 1)**2/4
Let f(g) = g + 5. Let l be f(-3). Let 2*z**3 - 8*z - 4*z - 4*z**3 + 6*z - 6*z**l - 2 = 0. Calculate z.
-1
Factor 0 - 4/3*l + 8/3*l**2 - 4/3*l**3.
-4*l*(l - 1)**2/3
Let y(w) be the first derivative of -w**4/18 + w**3/3 + 2*w + 2. Let s(n) be the first derivative of y(n). Let s(b) = 0. Calculate b.
0, 3
Let c(d) = -3*d - 11. Let m be (1 - 1) + -2 - 4. Let v be c(m). Suppose 2*i + 11/2*i**2 + i**5 + 17/4*i**4 + v*i**3 + 1/4 = 0. What is i?
-1, -1/4
Let t = -206 - -208. Factor -2/7*f + 1/7*f**4 + 0*f**3 - 3/7*f**t + 0.
f*(f - 2)*(f + 1)**2/7
Suppose -5*z - 43 = 4*p, -5*p = 3*z + 3 + 54. Let r be (10 + p)/((-12)/2). Factor r*q + 1/3*q**2 + 0.
q*(q + 1)/3
Let l(w) = -5*w**2 + 3*w - 2. Let o(f) = f**2. Let x(s) = -5*l(s) - 20*o(s). Find a such that x(a) = 0.
1, 2
Let v be 23/4 - -1*9/(-12). Let p(s) be the third derivative of 0 + 1/3*s**3 + 0*s - 1/4*s**4 - 3*s**2 - 1/60*s**6 + 1/10*s**v. Factor p(l).
-2*(l - 1)**3
Let n = -9 + 13. Let p(f) be the second derivative of 0 - f + 0*f**2 + 0*f**n + 0*f**3 + 1/10*f**5. Factor p(m).
2*m**3
Suppose -u + 4*g + 8 = 0, 5*g - 11 = -u - 3*u. Find h such that -h**2 + h**2 - 3*h**2 - h + u*h**2 = 0.
0, 1
Let j(g) be the second derivative of g**6/15 - g**5/5 + g**4/6 + 6*g. Factor j(y).
2*y**2*(y - 1)**2
Factor -8/3*t**2 - 2/3 - 10/3*t.
-2*(t + 1)*(4*t + 1)/3
Let m(k) = 6*k**3 - 7*k**2 + k. Let a(i) = 5*i**3 - 6*i**2 + i. Let j be -2*(-1 + 1/(-2)). Suppose j*x + 10 = -11. Let v(g) = x*a(g) + 6*m(g). Factor v(w).
w*(w - 1)*(w + 1)
Let n = 1411/2 - 705. Suppose -1 + 1/2*s**2 - n*s = 0. What is s?
-1, 2
Let w(l) = -10*l - 20. Let c be w(-2). Suppose 2/7*r - 2/7*r**2 + c = 0. What is r?
0, 1
Let a(v) = v**3 + v**2 - v + 11. Let f(g) = 10*g**3 + 10*g**2 - 10*g + 100. Let s(t) = -55*a(t) + 6*f(t). Factor s(p).
5*(p - 1)*(p + 1)**2
Let p = -10 + 14. Solve 2*o**3 - o**2 + o**p - 5*o**4 + 3*o**2 = 0.
-1/2, 0, 1
Let r be (-6)/(-21) - (-178)/14. Let -4*t**5 - 11*t**3 - 5*t**3 + 3*t**4 + r*t**4 = 0. What is t?
0, 2
Let s = 105 + -101. Let h(n) be the second derivative of 0 + 49/30*n**6 - n - 11/2*n**4 - 77/20*n**5 + 26/3*n**3 - s*n**2. Determine r so that h(r) = 0.
-1, 2/7, 2
Let w(j) be the first derivative of -j**5/15 + j**4/3 - 2*j**3/3 + 2*j**2/3 - j/3 - 11. Suppose w(x) = 0. What is x?
1
Let z(u) be the second derivative of 2*u + 0*u**3 + 0*u**4 + 0 - 1/70*u**5 + 0*u**2. Determine t so that z(t) = 0.
0
Let m be 16/32*8/14. Factor -4/7 + 2/7*k**2 - m*k.
2*(k - 2)*(k + 1)/7
Let f(j) = 13*j**4 - 13*j**2 - 7*j - 7. Let t(i) = 9*i**4 - 9*i**2 - 5*i - 5. Suppose 6*s = 4*s + 14. Let l(m) = s*t(m) - 5*f(m). Factor l(n).
-2*n**2*(n - 1)*(n + 1)
Let b = 16/7 - 66/35. Let o(m) be the second derivative of -m**2 + 0 - 1/5*m**5 - 5/6*m**4 + b*m**6 + 3/2*m**3 - 5/42*m**7 + m. Solve o(x) = 0 for x.
-1, 2/5, 1
Let y = 11 - 7. Suppose y*v = -2*f - v - 1, -5*f = v - 9. Factor -2/7*u**f + 0*u + 0.
-2*u**2/7
Let u be (-4)/((0 - -1)*-1). Let y(r) be the first derivative of 2*r - r**u + 0*r**3 - 2/5*r**5 + 1 + 2*r**2. Factor y(a).
-2*(a - 1)*(a + 1)**3
Let c(h) be the first derivative of -3*h**2 - 2*h - 4/3*h**3 + 6/5*h**5 + 1/3*h**6 + 4 + h**4. Factor c(g).
2*(g - 1)*(g + 1)**4
Solve -20 - 17*l - 46*l**2 - 14*l**3 - l + 18 + 32*l**5 + 48*l**4 = 0.
-1, -1/4, 1
Let x(q) be the third derivative of 5*q**8/336 - q**6/24 - 24*q**2. Solve x(r) = 0 for r.
-1, 0, 1
Let t(d) be the third derivative of 0*d + 0 - 7/600*d**6 - 1/6*d**4 - 3/50*d**5 - 4/15*d**3 - 2*d**2 - 1/1050*d**7. Factor t(l).
-(l + 1)*(l + 2)**3/5
Let w(o) be the third derivative of 1/132*o**4 + 0 - 1/220*o**6 + 0*o + 2/33*o**3 + 6*o**2 - 2/165*o**5. What is g in w(g) = 0?
-1, 2/3
Let z(d) be the second derivative of -7/60*d**5 + 2/3*d**3 - 1/2*d**2 + 1/6*d**4 + 1/60*d**6 + 0 - d. Let m(r) be the first derivative of z(r). Factor m(n).
(n - 2)**2*(2*n + 1)
Let j be (-12)/20 - 4/(-5). Let a(y) be the second derivative of -j*y**2 + 1/30*y**4 + 0*y**3 - y + 0. Factor a(s).
2*(s - 1)*(s + 1)/5
Suppose -3*b = 3*p - 171, 0 = -3*p - p + 5*b + 228. Let p*x**3 - 27*x**5 + 21*x**3 - 5*x**4 + 84*x**2 - 4*x**4 + 24*x = 0. Calculate x.
-1, -2/3, 0, 2
Suppose 4*r - 3*a = 35, -20 = -0*r - 5*r