 2*c**2 - 1/80*c**k + 0*c**3 - 1/80*c**6 + 0*c**4. Suppose s(z) = 0. Calculate z.
-1, 0
Let k(o) be the first derivative of -8/3*o**2 - 8/3*o**3 + 8 + 5/3*o**4 + 32/3*o - 4/15*o**5. Determine x so that k(x) = 0.
-1, 2
Let x be (-3)/(45/(-3102)) + -2. Let z = 206 - x. Find q such that z*q + 3/5*q**2 + 3/5 = 0.
-1
Let k(p) be the third derivative of -p**6/600 - p**5/25 - 2*p**4/5 - 32*p**3/15 + 5*p**2. Factor k(d).
-(d + 4)**3/5
Let x(a) be the third derivative of -a**6/70 + a**5/15 + a**4/7 - 7*a**2. Find f such that x(f) = 0.
-2/3, 0, 3
Let m = 16 + -11. Suppose -4*n + 12*n**4 - 12*n**3 + 19*n - 6 - 4*n**2 - 2*n**2 - 3*n**m = 0. What is n?
-1, 1, 2
Suppose 4 = -5*z + 6*z. Suppose 14 = 2*d + z. Factor -4/7*a**4 - 2/7*a**3 - 2/7*a**d + 0*a + 0*a**2 + 0.
-2*a**3*(a + 1)**2/7
Factor 48*t**2 - 2*t**3 - 2*t + 0*t - 52*t**2.
-2*t*(t + 1)**2
Let t(m) be the third derivative of m**2 - 1/1050*m**7 + 0*m**3 + 0 + 0*m - 1/600*m**6 + 0*m**5 + 0*m**4. Determine z, given that t(z) = 0.
-1, 0
Factor 4/3*h - 1/3*h**2 - 4/3.
-(h - 2)**2/3
Suppose 9*s - 3*s**2 + 2*s**4 + 6*s**3 + s**4 - 13*s - 2*s = 0. Calculate s.
-2, -1, 0, 1
Let k(n) be the first derivative of -n**5/270 + n**4/36 - 2*n**3/27 + 3*n**2/2 + 6. Let l(x) be the second derivative of k(x). Factor l(o).
-2*(o - 2)*(o - 1)/9
Suppose -8*c - 26 = -21*c. Factor 3*f**c + 3/2*f - 3/2.
3*(f + 1)*(2*f - 1)/2
Let t(h) = -2*h - 9. Let u be t(-7). What is s in -s**3 - 1 + 1 + s**u = 0?
-1, 0, 1
Factor 7*y - 11*y**2 + 33*y - 4*y**2 + 15.
-5*(y - 3)*(3*y + 1)
Let g = -8 - -11. Factor 6*h**g + 3 - 3*h**4 - 2*h + 0*h**3 - 4*h.
-3*(h - 1)**3*(h + 1)
Let c(o) be the third derivative of -o**7/420 + o**6/90 + o**5/60 - o**4/6 - o**3/6 - 2*o**2. Let b(n) be the first derivative of c(n). Factor b(x).
-2*(x - 2)*(x - 1)*(x + 1)
Let p be -1*(-2 - -3)*-9. Let k = p + -5. Determine w so that 16/5*w - 34/5*w**3 - 8/5 + 18/5*w**5 - 6/5*w**k + 14/5*w**2 = 0.
-1, 2/3, 1
Let h = -45 + 136/3. Let z = h + -2/15. Factor -3/5*i**3 + 0 + 3/5*i**2 - z*i + 1/5*i**4.
i*(i - 1)**3/5
Let v be (6/(-76 + 4))/(0 + -15). Let x(r) be the third derivative of 0 + 1/36*r**4 - 1/45*r**5 + 0*r**3 + v*r**6 - 2*r**2 + 0*r. Let x(m) = 0. What is m?
0, 1
Let o(i) be the first derivative of -4*i**5/5 - 3*i**4/2 + 2*i**3 + 2*i**2 + 3. Solve o(n) = 0.
-2, -1/2, 0, 1
Let l be 122/76 - 22/209. Determine w so that 3*w + 45/4*w**3 - l*w**4 + 12*w**2 + 0 - 15/4*w**5 = 0.
-1, -2/5, 0, 2
Let y(f) be the second derivative of 0 + 0*f**2 + 1/9*f**3 + 3*f - 1/18*f**4. Determine v, given that y(v) = 0.
0, 1
Let l = 3 + -1. Factor l + 4*w**2 - 3*w**2 - 7*w + 4*w.
(w - 2)*(w - 1)
Suppose 0 = -0*w - 3*w - 9. Let p(t) = t**3 + 3*t**2 + t + 5. Let j be p(w). Factor 1/3*q**j + 1/3*q**3 - 1/3 - 1/3*q.
(q - 1)*(q + 1)**2/3
Let c be 26/8 - 2/8. Let f = 28/53 + -3/106. Find d such that -1/2*d**2 + 0*d - 1/2*d**5 + 0 + 1/2*d**c + f*d**4 = 0.
-1, 0, 1
Factor 4*x - 8/7 - 12/7*x**2.
-4*(x - 2)*(3*x - 1)/7
Let i(r) be the first derivative of -15*r**3/4 + 25*r**2/2 - 5*r - 11. Factor i(v).
-5*(v - 2)*(9*v - 2)/4
Suppose 9*d + 2*d = 0. Factor d + 0*y - 1/2*y**2.
-y**2/2
Let i(b) = -b**2 - 41*b + 36. Let t(k) = -15*k**2 - 575*k + 505. Let l(z) = 85*i(z) - 6*t(z). Factor l(d).
5*(d - 6)*(d - 1)
Solve 3*y + 12*y**4 + 8*y**3 + 12*y - 36*y**3 + 12*y**2 - 3*y - 8 = 0 for y.
-2/3, 1
Let t(a) be the first derivative of -1/16*a**4 + 1/12*a**3 - 1 + 1/8*a**2 - 1/4*a. Find p such that t(p) = 0.
-1, 1
Factor 63 + 2*b - 149 + 12*b + 37 - b**2.
-(b - 7)**2
Let y(d) be the first derivative of 2*d**3/51 - 2*d**2/17 - 6*d/17 + 20. What is l in y(l) = 0?
-1, 3
Let g(p) be the first derivative of 4*p**5/5 - 3*p**4 + 8*p**2 + 8. Solve g(m) = 0 for m.
-1, 0, 2
Let o = 2164 - 11342/5. Let c = -104 - o. Factor -2/5*u**4 - 2/5*u**5 + c*u**2 + 0 + 2/5*u**3 + 0*u.
-2*u**2*(u - 1)*(u + 1)**2/5
Let q(n) = -n**2 + 7*n - 4. Let o be q(5). Let f be (1 - 4)/1*-1. Solve 6*c**3 + 9*c**4 - f*c**3 - 3*c**5 + 6*c**5 - o*c - 9*c**2 = 0.
-2, -1, 0, 1
Let a(v) be the first derivative of v**4/12 - v**3/9 - 2*v**2/3 + 4*v/3 - 32. Factor a(p).
(p - 2)*(p - 1)*(p + 2)/3
Let k(j) = 36*j**4 + 28*j**3 - 8*j**2 - 12*j + 12. Let c(w) = w - 1. Let r(z) = -12*c(z) - k(z). Find b such that r(b) = 0.
-1, 0, 2/9
Suppose 3*g + 9 = 0, -5*q + 3*g = 4*g - 12. Determine a so that 0*a**2 + 4*a**2 + 0*a - 16 - 2*a - 6*a + 2*a**q = 0.
-2, 2
Let b(s) be the first derivative of s**5/20 + s**4/4 + s**3/12 - 3*s**2/4 + 1. Factor b(t).
t*(t - 1)*(t + 2)*(t + 3)/4
Suppose 2*a = -a. Let u(v) = v**2 + 2. Let m be u(a). Solve -4*o**2 + 2*o**5 - 3*o - 3*o - m + 0*o**3 + 4*o**3 + 6*o**4 = 0.
-1, 1
Let t(q) be the third derivative of 0*q**4 + 1/270*q**5 + 0 - 1/945*q**7 - 1/540*q**6 + 0*q + 0*q**3 + 1/1512*q**8 + 3*q**2. Factor t(g).
2*g**2*(g - 1)**2*(g + 1)/9
Let c(l) be the first derivative of l**4/4 - 3*l**2/2 - 2*l + 8. Factor c(i).
(i - 2)*(i + 1)**2
Factor 18*c**2 - c - 11*c + 4 - 4*c**3 - 6*c**2.
-4*(c - 1)**3
Let g(n) = 3*n**2 - 1. Let t be g(1). Factor -x + x**3 - 8*x**2 - x**3 - 2*x + t - 3*x**3.
-(x + 1)*(x + 2)*(3*x - 1)
Find i such that 1/3*i**5 + 1/3*i**3 - i**2 - 2/3*i + 0 + i**4 = 0.
-2, -1, 0, 1
Let f(m) be the third derivative of m**5/30 + 5*m**4/12 + 2*m**3 + 9*m**2. Factor f(p).
2*(p + 2)*(p + 3)
What is u in 4/3*u**5 + 0*u**2 + 0 + 0*u + 2*u**4 + 2/3*u**3 = 0?
-1, -1/2, 0
Let a(u) be the second derivative of u**5/80 - u**4/16 + u**3/8 - u**2/8 - 5*u. Let a(m) = 0. Calculate m.
1
Let o(z) be the third derivative of 1/18*z**3 - 1/36*z**4 + 0 + 0*z - 3*z**2 + 1/180*z**5. Let o(h) = 0. Calculate h.
1
Let i(n) be the first derivative of -1 + 0*n - 2/21*n**3 + 0*n**2. Let i(d) = 0. Calculate d.
0
Solve -61*h**2 - h - 2*h**4 + 69*h**2 + h = 0.
-2, 0, 2
Let q(u) be the second derivative of -7*u**7/33 - 28*u**6/165 + 13*u**5/10 - 7*u**4/33 - 4*u**3/3 - 8*u**2/11 - 5*u. Let q(j) = 0. What is j?
-2, -2/7, 1
Let r(j) be the first derivative of -j**6/120 + j**5/20 - j**4/8 + j**3/6 + 3*j**2/2 - 4. Let h(d) be the second derivative of r(d). Factor h(w).
-(w - 1)**3
Let x(m) be the second derivative of 1/10*m**5 - 1/2*m**3 + 1/42*m**7 - 1/10*m**6 + 0 - 3*m + 1/6*m**4 + 1/2*m**2. Factor x(u).
(u - 1)**4*(u + 1)
Factor -4/11*q - 2/11*q**4 + 2/11 + 4/11*q**3 + 0*q**2.
-2*(q - 1)**3*(q + 1)/11
Let u(x) be the second derivative of x**7/42 + x**6/90 - x**5/10 - x**4/18 + x**3/6 + x**2/6 - 5*x. Let u(y) = 0. Calculate y.
-1, -1/3, 1
Let c(r) = r**2 - 5*r. Let j(y) = -y. Suppose -2*o + 5*a = 2, -3*o + 0*o + 4 = -4*a. Let v(u) = -u - 5. Let k be v(-4). Let f(w) = k*c(w) + o*j(w). Factor f(q).
-q*(q - 1)
Let u(m) = 6*m**2 - 4*m - 7. Let v(p) = 5*p**2 - 3*p - 6. Let n(c) = -4*u(c) + 5*v(c). Factor n(k).
(k - 1)*(k + 2)
Let g = 32 - 22. Let h = -8 + g. Determine s so that 0 - 1/3*s**h - 2/3*s = 0.
-2, 0
Factor 2*b - 3*b - 2*b**3 - b - 4*b**2.
-2*b*(b + 1)**2
Let g(p) be the first derivative of -3*p**4/8 - p**3 - 3*p**2/4 - 15. Factor g(n).
-3*n*(n + 1)**2/2
Let p(n) = n**2 - 2*n + 1. Let a(h) be the first derivative of 5*h**3/3 - 5*h**2 + 5*h - 4. Let r(l) = 4*a(l) - 22*p(l). What is o in r(o) = 0?
1
Let m(n) be the second derivative of n**6/720 + n**5/80 + n**4/24 - 2*n**3/3 - 6*n. Let p(a) be the second derivative of m(a). What is k in p(k) = 0?
-2, -1
Let i(c) be the first derivative of -6 + 0*c - 2/3*c**3 - 1/6*c**6 + 1/2*c**2 + 0*c**4 + 2/5*c**5. Determine r so that i(r) = 0.
-1, 0, 1
Factor 1/3*v**4 + 1/3*v + 0 - 1/3*v**2 - 1/3*v**3.
v*(v - 1)**2*(v + 1)/3
Let c = 2/123 - -478/861. Find w such that c*w**2 + 0 - 4/7*w**4 + 2*w**3 + 0*w - 2*w**5 = 0.
-1, -2/7, 0, 1
Let d = 32 - 22. Let w be (-2)/4 + d/12. Factor 0 + 2/3*u**3 + 0*u + 1/3*u**2 + w*u**4.
u**2*(u + 1)**2/3
Let f = -15 + 17. Find h, given that 0*h**f - 3*h**2 + 0*h + 2*h + h**3 = 0.
0, 1, 2
Let q = -7 - -7. Let f be 6 - (q/(-2) - -3). Find p such that p**f - 1/2*p - 1/2*p**4 - 1/2 + p**2 - 1/2*p**5 = 0.
-1, 1
Let u(i) = -i**3 - 2*i**2 - 2*i - 2. Let r be u(-2). Factor 0*k - 1/2*k**4 + 0*k**3 + 0 + 0*k**r.
-k**4/2
Let m(k) be the third derivative of -k**8/168 - 3*k**7/70 - 7*k**6/60 - 3*k**5/20 - k**4/12 + 5*k**2. Find x such that m(x) = 0.
-2, -1, -1/2, 0
Suppose -5*i - 2*p = -10, 5 = 12*i - 13*i + p. Factor -1/5*k**5 + 0*k + 0*k**4 + 1/5*k**3 + 0 + i*k**2.
-k**3*(k - 1)*(k + 1)/5
Let p(y) b