+ 0*r - 9 - 2/7*r**3 - 2/21*r**6 + 6/35*r**5. Determine g so that x(g) = 0.
-1, -1/2, 0, 1, 2
Let v be ((-3)/((-30)/(-13)))/(8/(-16)). Let c(i) be the first derivative of -v*i**4 - 4/5*i**2 + 8/5*i - 6 - 14/25*i**5 - 18/5*i**3. Let c(r) = 0. Calculate r.
-2, -1, 2/7
Let a be 7/(-28) - (4106/(-8) + -2). Let g = a - 1531/3. Factor -4/3 - g*m + 8/3*m**2.
2*(m - 2)*(4*m + 1)/3
Let b(a) be the third derivative of -2*a**7/525 + 4*a**6/75 - 6*a**5/25 + 8*a**4/15 - 2*a**3/3 + a**2 - 7. Find n, given that b(n) = 0.
1, 5
Let j(a) be the second derivative of a**6/105 + a**5/10 + 13*a**4/42 - a**3/7 - 18*a**2/7 + 270*a. Solve j(t) = 0.
-3, -2, 1
Let v = -26 - -28. Suppose f + 9 = 2*u, u + 2*f + v*f = 0. Factor -45*o**u + 10*o**3 + 9*o**3 - 5*o**3 - 4*o**3.
-5*o**3*(9*o - 2)
Let -6*v**2 + 27/5 - 24/5*v + 3/5*v**4 + 24/5*v**3 = 0. Calculate v.
-9, -1, 1
Suppose -9 = 2*i - u, -27*u + 24*u + 27 = i. Let i + 0*a - 2/7*a**2 = 0. Calculate a.
0
Let a(y) be the third derivative of y**7/1155 + y**6/660 - y**5/330 - y**4/132 + 49*y**2. What is i in a(i) = 0?
-1, 0, 1
Let t(r) be the second derivative of 16*r**2 - 7/6*r**4 + 0 - 8/3*r**3 - 1/10*r**5 + 19*r. Factor t(g).
-2*(g - 1)*(g + 4)**2
Let p(t) be the first derivative of -13*t**4 + 7 - 12/5*t**5 + 10*t**2 - 44/3*t**3 + 24*t. Solve p(h) = 0.
-3, -1, 2/3
Suppose -4*f + 9 = -d, 0 = f - 0*d - d. Factor 12*n**3 - 3*n**5 - 15*n**2 - 3*n**3 + 3*n + f*n + 3*n**4.
-3*n*(n - 1)**3*(n + 2)
Let o = -20/3 - -7. Let r be ((-3)/(3 - 60/8))/2. Factor o + 1/3*p - r*p**3 - 1/3*p**2.
-(p - 1)*(p + 1)**2/3
Let m(s) be the first derivative of -s**2 + 0*s + 9/5*s**5 + 12 + 4*s**4 + 5/3*s**3. What is n in m(n) = 0?
-1, 0, 2/9
Let a be 0/(3*(-2)/6). Factor -4*c + 0*c**3 + a*c + c**3 + 0*c**3.
c*(c - 2)*(c + 2)
Let l(d) be the second derivative of 1/45*d**3 + 0 + 1/5*d**2 - 1/30*d**4 - 1/150*d**5 + 5*d. Find m, given that l(m) = 0.
-3, -1, 1
Factor -9/7*m**2 + 2/7 - 17/7*m.
-(m + 2)*(9*m - 1)/7
Factor 8/3*t**2 + 0 + 4/3*t**3 + 0*t.
4*t**2*(t + 2)/3
Let f be (6/26)/((-5)/(-65)). Let v = 86 - 169/2. Factor 3/2*q + v*q**2 - f.
3*(q - 1)*(q + 2)/2
Let h(l) be the first derivative of 2*l**5/75 - l**4/5 + 14*l**3/45 + 2*l**2/5 - 16*l/15 - 10. Let h(w) = 0. What is w?
-1, 1, 2, 4
What is b in -1/2*b**4 + 5/2*b + 15/4*b**3 + 0 - 27/4*b**2 = 0?
0, 1/2, 2, 5
Let t be (-3)/(4 - 13)*9. Suppose -t = j - 5. Determine c so that -1/2*c**3 - 1/4*c**5 - 1/4 + 3/4*c + 3/4*c**4 - 1/2*c**j = 0.
-1, 1
Let l be 12 + -4 + (-380)/57. Factor 0*s**2 - 2/3*s**4 - l*s**3 + 0*s + 0.
-2*s**3*(s + 2)/3
Let j(t) be the second derivative of t**7/21 + 3*t**6/5 - 19*t**5/10 - 101*t**4/6 - 38*t**3 - 40*t**2 + 140*t. Determine x so that j(x) = 0.
-10, -1, 4
Factor -t**4 - 41*t**3 + 34*t**3 + 10*t**5 - 3*t**5 + 4*t**2 - 3*t**4.
t**2*(t - 1)*(t + 1)*(7*t - 4)
Let k(f) = -6*f**4 + 5*f**3 + 26*f**2 + 15*f. Let a(v) = 18*v**4 - 14*v**3 - 78*v**2 - 46*v. Let m(y) = -6*a(y) - 20*k(y). Let m(j) = 0. What is j?
-1, -2/3, 0, 3
Let y(d) = -d**2 + d. Let p be y(-3). Let g be 19/39 - p/(-78). Factor 1/6*s - 1/6*s**2 + g.
-(s - 2)*(s + 1)/6
Let z = 383/141 + -112/47. Factor -4/3 - 5/3*j**2 + z*j**3 + 8/3*j.
(j - 2)**2*(j - 1)/3
Let v be ((-16)/6)/((-14)/105). Let -5*g**4 + 5 - 18*g - v*g + 10*g**3 + 28*g = 0. Calculate g.
-1, 1
Let i(b) be the first derivative of -4/3*b**3 + 1/6*b**4 + 2/15*b**5 + 0*b - 5/2*b**2 + 9 - 1/30*b**6. Let n(h) be the second derivative of i(h). Factor n(v).
-4*(v - 2)*(v - 1)*(v + 1)
Let w(s) = 2*s**3 + s**2 + s. Let h(o) = -13*o**3 - 34*o**2 + 176*o - 200. Let z(l) = h(l) + 4*w(l). Factor z(v).
-5*(v - 2)**2*(v + 10)
Factor 2/9*r**2 - 32/9 - 4/3*r.
2*(r - 8)*(r + 2)/9
Find y such that 0 - 2*y + 2*y**2 + 5/2*y**4 + 13/2*y**3 = 0.
-2, -1, 0, 2/5
Suppose p + 22 = 5*q, -p = -0*q - q + 6. Suppose q = f + f. Solve f*i**4 - 2*i**2 - 5*i - 4*i**3 + 5*i - 4*i**4 = 0.
-1, 0
Let l(i) be the first derivative of 17*i**4/6 - 8*i**3 + 7*i**2 - 4*i/3 + 253. Find b such that l(b) = 0.
2/17, 1
Let w(b) be the third derivative of -b**6/24 - 4*b**5/3 - 385*b**4/24 - 245*b**3/3 + 109*b**2. Factor w(s).
-5*(s + 2)*(s + 7)**2
Suppose 129*z**2 - 267*z**2 + 3*z + 7*z**3 + 129*z**2 - 3*z**4 + 2*z**3 = 0. Calculate z.
0, 1
Let y(r) be the second derivative of r**6/30 - r**5/5 - 3*r**4/2 + 18*r**3 - 135*r**2/2 - 72*r + 1. Let y(p) = 0. What is p?
-5, 3
Let w(j) be the first derivative of -1/3*j**5 + 3/4*j**4 + 1/3*j**2 + 0*j + 4 + 1/18*j**6 - 7/9*j**3. Factor w(l).
l*(l - 2)*(l - 1)**3/3
Let j(b) be the first derivative of -3*b**4/16 + b**3/4 + 3*b**2/2 - 3*b + 101. Factor j(m).
-3*(m - 2)*(m - 1)*(m + 2)/4
Let o(d) be the third derivative of d**6/900 - d**5/50 - d**4/15 + 4*d**3/9 - d**2 + 26*d. Determine t, given that o(t) = 0.
-2, 1, 10
Let p(g) = -g**3 - g**2 + g + 1. Let n(z) = z - 3. Let j be n(1). Let q be p(j). Find t, given that -t**3 - q*t + 6*t**2 - 3*t**3 + t**3 = 0.
0, 1
Let h(x) = x**3 + 2*x**2 + x + 2. Let a(q) = 4*q**3 + 91*q**2 + 170*q + 89. Let i(r) = -2*a(r) + 6*h(r). Determine d, given that i(d) = 0.
-83, -1
Solve -m**4 - 166*m**3 - 166*m**3 - 4*m**2 + 8*m + 2*m**4 + 330*m**3 = 0.
-2, 0, 2
Let r(m) = m**2 - 3*m - 1. Let k be r(4). Let b be (-8*(-16)/(-448))/((-8)/14). Factor -1/2*x**2 - 3/2*x**k + 3/2*x + b.
-(x - 1)*(x + 1)*(3*x + 1)/2
Let u(w) = -7*w**3 + 3*w**2 + 22*w + 12. Let d(t) = -13*t**3 + 6*t**2 + 43*t + 24. Let v(q) = 6*d(q) - 11*u(q). Find y, given that v(y) = 0.
-2, -1, 6
Let w(g) be the third derivative of -g**5/135 + 2*g**4/27 - 8*g**3/27 - g**2 + 39*g. Factor w(k).
-4*(k - 2)**2/9
Let s(q) = -11*q**4 + 57*q**3 - 111*q**2 + 62*q + 3. Let z(w) = -80*w**4 + 398*w**3 - 776*w**2 + 436*w + 22. Let y(f) = -44*s(f) + 6*z(f). Factor y(v).
4*v*(v - 28)*(v - 1)**2
Let b(i) = 6*i**3 - 142*i**2 + 278*i - 136. Let g(a) = -13*a**3 + 283*a**2 - 557*a + 272. Let d(j) = 5*b(j) + 2*g(j). Factor d(m).
4*(m - 34)*(m - 1)**2
Let u(h) = h**3 + 31*h**2 - 55*h - 105. Let m(r) = -32*r**2 + 56*r + 104. Let k = 44 - 49. Let z(j) = k*m(j) - 4*u(j). Let z(o) = 0. What is o?
-1, 5
Let w = 20 - 31. Let d(h) = h**2 + 10*h - 8. Let v be d(w). Suppose 96*z**2 - 18*z**2 + 60*z - v*z**2 - 4 + 16 = 0. What is z?
-2/5
Let q(n) be the first derivative of -n**6/3 - 16*n**5/15 - 2*n**4/3 - 116. Find k such that q(k) = 0.
-2, -2/3, 0
Let n(k) be the second derivative of -7*k**4/102 + 39*k**3/17 + 2*k**2 + 2*k + 6. Solve n(y) = 0.
-2/7, 17
Suppose 1016/7*q - 25/7*q**3 + 204/7 + 1255/7*q**2 = 0. Calculate q.
-2/5, 51
Factor -1/2*n**4 + 5/4 + 5/4*n**2 - 23/8*n - 1/8*n**5 + n**3.
-(n - 1)**3*(n + 2)*(n + 5)/8
Factor 48/5*c + 2/5*c**3 + 104/5 - 54/5*c**2.
2*(c - 26)*(c - 2)*(c + 1)/5
Let t = 659 + -655. What is q in 0 - 20/7*q**2 + 32/7*q**t - 4/7*q - 8/7*q**3 = 0?
-1/2, -1/4, 0, 1
Let g be -2 + (-240)/(-123) + 5200/19188. Factor -10/9*c - g*c**2 - 4/3.
-2*(c + 2)*(c + 3)/9
Let 6/5*l**2 - 6/5*l - 2/5*l**3 + 2/5 = 0. What is l?
1
Factor 1/8*v**2 + 81/8 + 9/4*v.
(v + 9)**2/8
Let g be (-2)/((-1)/3*2). Factor -14 + g*t + t - 10 + 0*t + 4*t**2.
4*(t - 2)*(t + 3)
Let a(k) be the second derivative of -k**6/90 - k**5/30 + 2*k**3 + 10*k. Let z(i) be the second derivative of a(i). Factor z(n).
-4*n*(n + 1)
Let l(x) be the second derivative of 0*x**2 + 1/5*x**6 + x + 9/10*x**4 - 18/25*x**5 - 2/5*x**3 + 0. Let l(m) = 0. What is m?
0, 2/5, 1
Let t be -2*(-4)/6*12/8. Factor 3*h**t - 3*h**4 + 2*h**5 - 74*h**3 - 3*h**5 + 75*h**3.
-h**2*(h - 1)*(h + 1)*(h + 3)
Suppose t = -6*t + 21. Suppose -u + 2 = 0, -4*d - 1 = -t*u - 3. Factor 5/3*b - 7/3*b**d + 2/3.
-(b - 1)*(7*b + 2)/3
Let a = 57800/13 - 4446. Find p such that 0 + 2/13*p**4 + 0*p - 4/13*p**3 + a*p**2 = 0.
0, 1
Suppose 8 = 2*v - 2*l, l + 14 = 5*v - 6. Factor 2*q**3 - 533*q + 0*q**4 - q**5 + 1 + q**v + 532*q - 2*q**2.
-(q - 1)**3*(q + 1)**2
Let u(z) be the second derivative of 14*z**7/3 + 70*z**6/3 + 186*z**5/5 + 68*z**4/3 + 16*z**3/3 - 6*z - 8. Find s, given that u(s) = 0.
-2, -1, -2/7, 0
Suppose 7*f - 4*f - 6 = 0. Suppose 12 - 12 - 2*z**f + 2*z**4 + 0*z**4 = 0. Calculate z.
-1, 0, 1
Determine p, given that -480*p - 125*p**5 - 35*p**4 + 605*p**3 + 425*p**2 + 112 - 490*p**4 - 12 = 0.
-5, -1, 2/5, 1
Suppose 0 = -20*z + 7*z. Suppose 10*b - 6*b = 3*d - 25, z = 5*d - b - 19. Find t such that 5/4*t**2 + 3/4*t**d - 1/4 + 1/4*t = 0.
-1, 1/3
Find o such that -17*o