- 4*i**3 + i**3 - i**3 + i**4 - k = 0.
-1, 1
Let m = 148 - 147. Let p be (-381)/(-72) - 2*m/16. Determine z so that 8/3*z**3 + 2/3 + 28/3*z**2 - p*z = 0.
-4, 1/4
Let k be -3 - 8/(-4) - -2. Let u be (-3)/3*k*-14. Factor -q + 0*q + u*q**3 + q - 4*q**2.
2*q**2*(7*q - 2)
Let i(a) be the second derivative of -a**6/660 - a**5/165 - a**4/132 + 5*a**2/2 - 30*a. Let k(q) be the first derivative of i(q). Solve k(s) = 0 for s.
-1, 0
Suppose 5 = 2*z - 2*h - 9, -3*z - 3*h = -15. Let t be z + -3 + -4 + (2 - -2). Let 2/3*r**5 + 0 + 4*r**t - 8/3*r**4 + 2/3*r - 8/3*r**2 = 0. Calculate r.
0, 1
Factor 0 - 2/15*p**3 - 1922/15*p + 124/15*p**2.
-2*p*(p - 31)**2/15
Let j(l) be the third derivative of -l**7/1260 + l**5/360 - 33*l**2 - 2*l. Factor j(d).
-d**2*(d - 1)*(d + 1)/6
Let x(n) = n**2 - 13. Let w be x(-4). Factor 12*p + 74 + w*p**2 + 80 - 142.
3*(p + 2)**2
Suppose -5 = 6*g + 1. Let v(j) = 1. Let h(u) = 5*u**2 + 5*u - 9. Let p(l) = g*v(l) + h(l). Suppose p(c) = 0. What is c?
-2, 1
Factor 20*w**3 + 0*w**2 + 0 + 4/3*w**5 + 0*w - 32/3*w**4.
4*w**3*(w - 5)*(w - 3)/3
Let r(s) = 4*s - 4. Let k be r(2). Factor 3173 + c - c**k - 3173 + 3*c**3 - 3*c**2.
-c*(c - 1)**3
Factor 633*x - 428*x - 315*x - 5*x**2.
-5*x*(x + 22)
Let x be 3/((-30)/8)*4*(-160)/128. Factor -8/7*r**3 - 22/7*r**2 - 9/7 - 1/7*r**x - 24/7*r.
-(r + 1)**2*(r + 3)**2/7
Let w(t) = t**3 + 9*t**2 - 5*t - 50. Let x be w(-9). Let a be (-6)/x*75/20. Let a*j**2 - 3/2*j - 3 + 3/2*j**3 - 3/2*j**4 = 0. Calculate j.
-1, 1, 2
Let k(j) = 4*j**3 - 4*j**2 - 22*j - 32. Let n(p) = 5*p**3 - 3*p**2 - 21*p - 33. Let f be (-78)/14 - 8/(-14). Let w(l) = f*n(l) + 6*k(l). Factor w(c).
-(c + 3)**3
Let q(v) be the first derivative of -v**3 - 27*v**2/2 + 30*v + 49. Let q(a) = 0. What is a?
-10, 1
Let s(p) be the first derivative of 2*p**7/7 + p**6/10 - 3*p**5/5 - p**4/4 + 7*p - 7. Let a(r) be the first derivative of s(r). Let a(c) = 0. What is c?
-1, -1/4, 0, 1
Let x be 15/50*8/6. Let q be 10/(-235) + (-594)/(-705). Solve 4/5 - 2/5*u + x*u**3 - q*u**2 = 0.
-1, 1, 2
Let l(p) be the first derivative of 5/4*p**4 - 13 - 20*p**2 + 19*p**5 - 115/3*p**3 + 20*p + 35/6*p**6. Let l(m) = 0. Calculate m.
-2, -1, 2/7, 1
Let p = 50 - 48. Suppose 3*a + 2*a = 15. Factor -2*v**a - p*v**3 + v**2 - 4*v - 5*v**2 + 3*v**3.
-v*(v + 2)**2
Let d = 7 - 5. Let p be 11640/70 - 2/7. Factor 166 + 2*h - d*h**2 - p.
-2*h*(h - 1)
Let l(m) be the third derivative of m**8/672 + m**7/240 - m**6/80 - m**5/20 - 15*m**2. Let w(h) be the third derivative of l(h). Solve w(b) = 0.
-1, 3/10
Let g(r) be the second derivative of -r**4/6 + 14*r**3 - 441*r**2 + 7*r + 1. Let g(a) = 0. What is a?
21
Determine a so that 4/5 + 1/5*a**2 + 4/5*a = 0.
-2
Let h = 24 + -21. Factor -2749 + 3*y**3 + 2749 + h*y - 6*y**2.
3*y*(y - 1)**2
Let u(z) be the second derivative of -z**9/2016 + z**7/560 - 7*z**3/6 - 3*z. Let p(g) be the second derivative of u(g). Find j such that p(j) = 0.
-1, 0, 1
Let u be (1 + 1/1 - 3)/(-20). Let l(k) be the second derivative of 0*k**2 + 0 - 1/30*k**6 + 0*k**3 + 5*k + 0*k**4 + u*k**5. Let l(x) = 0. What is x?
0, 1
Solve 4*i**4 + 212*i**3 + 203*i**3 - 64 + 64*i - 431*i**3 = 0 for i.
-2, 2
Let b = -2151 - -2155. Factor -1/5*h + 0 + 2/5*h**2 + 0*h**3 - 2/5*h**b + 1/5*h**5.
h*(h - 1)**3*(h + 1)/5
Factor 18/11*s**3 + 102/11*s + 90/11*s**2 - 6/11*s**4 + 36/11.
-6*(s - 6)*(s + 1)**3/11
Let r(k) be the second derivative of 7*k + 4 + 3/80*k**5 - 1/16*k**3 + 0*k**6 + 0*k**2 + 0*k**4 - 1/112*k**7. Let r(m) = 0. What is m?
-1, 0, 1
Let l be 5*20/25 - 0. Let h(a) be the second derivative of 1/150*a**6 + 1/20*a**l + 0 - 1/30*a**3 - 3/100*a**5 + 5*a + 0*a**2. Solve h(o) = 0.
0, 1
Let t(b) = b**5 - b**3 - b**2 + b - 1. Let i(l) = -3*l + 0*l**5 + 6 + 2*l**3 + 8*l**5 - 11*l**5 + 2*l**4. Let w(j) = i(j) + 4*t(j). Factor w(q).
(q - 1)**2*(q + 1)**2*(q + 2)
Let h be 4 + -2*(1 - 0). Suppose -o - o + 8 = 0. Factor 13*l**4 + 7*l**3 + o*l**h - l**3 - 3*l**4 - 8*l**4.
2*l**2*(l + 1)*(l + 2)
Let v(f) be the third derivative of f**7/420 - f**6/60 + f**5/20 - f**4/12 + 2*f**3/3 - 2*f**2. Let q(c) be the first derivative of v(c). What is n in q(n) = 0?
1
Let s(v) be the second derivative of v**7/42 - v**6/15 + v**4/6 - v**3/6 + 30*v. Factor s(q).
q*(q - 1)**3*(q + 1)
Let h(y) = -y**3 + 4*y**2 - y + 6. Let p be h(4). Suppose -p*z + 16 = -3*n, -5*z - 2*n - 4 = -6. Factor 1/2*f**z + 0 + 0*f - 1/2*f**4 + 0*f**3.
-f**2*(f - 1)*(f + 1)/2
Let l(r) be the second derivative of r**3/2 - 2*r**2 + r - 9. Let c be l(2). Factor i**c + 1/4 + i.
(2*i + 1)**2/4
Factor -48 + 4*n**2 - 145*n + 273*n - 132*n.
4*(n - 4)*(n + 3)
Suppose 5*q = -f - 19, -80 + 30 = -5*f + 4*q. Find m, given that -f*m**3 - 3*m**4 + 32*m**2 + 3 + 6*m - 32*m**2 = 0.
-1, 1
Suppose 12 - 10 = -7*c + 23. Let q = -2 + 2. Solve q + 2/3*p**2 + 0*p + 2/3*p**4 - 4/3*p**c = 0.
0, 1
What is j in 110*j + 12*j**2 - 13*j**2 - 8*j**2 - 16*j**2 + 20*j**2 - 105 = 0?
1, 21
Let v(q) be the second derivative of q**5/30 - 11*q**4/18 + 34*q**3/9 - 8*q**2 + q - 3. Factor v(b).
2*(b - 6)*(b - 4)*(b - 1)/3
Factor -7*n + 2*n - 1502*n**3 + 1503*n**3 - 5*n + 9*n**2.
n*(n - 1)*(n + 10)
Let r(y) = 70*y**4 - 420*y**3 - 1050*y**2 - 560*y - 55. Let k(x) = 5*x**4 - 30*x**3 - 75*x**2 - 40*x - 4. Let v(z) = -55*k(z) + 4*r(z). Let v(t) = 0. What is t?
-1, 0, 8
Let s(t) be the third derivative of -t**5/150 + t**4/2 - 15*t**3 + 26*t**2 - t. Solve s(r) = 0.
15
Let z(r) be the second derivative of -r**7/140 - 3*r**6/40 - 13*r**5/40 - 3*r**4/4 - r**3 - 3*r**2 + 3*r. Let q(a) be the first derivative of z(a). Factor q(i).
-3*(i + 1)**2*(i + 2)**2/2
Let 10*x**4 - 12*x + 15*x**3 - 9*x**2 - 3*x**5 - 5*x**4 + 4*x**4 = 0. What is x?
-1, 0, 1, 4
Factor -16*p + 16*p**4 - 6 - 8*p**2 - 2*p**4 - 5*p**5 + 12*p**3 + 0*p**5 + 0*p**4 + 9*p**5.
2*(p - 1)*(p + 1)**3*(2*p + 3)
Let q(v) = -4*v**2 + 70*v - 72. Let x(p) = -17*p**2 + 280*p - 290. Let u(o) = -18*q(o) + 4*x(o). Factor u(s).
4*(s - 34)*(s - 1)
Let z(i) be the third derivative of i**7/315 + i**6/180 - i**5/45 + 106*i**2. Factor z(k).
2*k**2*(k - 1)*(k + 2)/3
Let o(w) be the first derivative of 9/5*w**2 + 0*w + w**3 + 3/20*w**4 + 37. Solve o(y) = 0 for y.
-3, -2, 0
Let d(o) be the second derivative of -o**4/24 + 5*o**3/12 - 3*o**2/2 - 78*o. Find q, given that d(q) = 0.
2, 3
Let t(d) be the second derivative of 0*d**5 + 0 + d**2 + 1/540*d**6 - 1/108*d**4 + 0*d**3 + 2*d. Let o(m) be the first derivative of t(m). Factor o(h).
2*h*(h - 1)*(h + 1)/9
Let w(r) be the third derivative of r**5/330 - 47*r**4/132 - 110*r**2. Find z, given that w(z) = 0.
0, 47
Let d(v) = -v**2 - 15*v - 5. Let j be d(-15). Let y be j/30*3*0. Solve 0*h + y + 1/2*h**2 + 1/4*h**3 = 0 for h.
-2, 0
Let b(a) = -3*a**3 - 15*a**2 - 14*a + 12. Let m be b(-3). Let 2/15*q**4 - 8/15*q**3 + m*q + 0 + 8/15*q**2 = 0. What is q?
0, 2
Suppose -5*n - 313 = 37. Let i be 5*4/50 - (-8)/n. Solve -6/7*l - i*l**2 + 0 = 0.
-3, 0
What is g in 1/3*g**2 + 675 - 30*g = 0?
45
Let s(c) = -c**2 + 9*c + 30. Let g(n) = 4*n**2 - 26*n - 90. Suppose 8*a - 9*a = -4. Let t(l) = a*g(l) + 11*s(l). Determine p so that t(p) = 0.
-2, 3
Let z(s) be the first derivative of -2*s**3/33 + 59*s**2/11 - 116*s/11 - 64. Factor z(o).
-2*(o - 58)*(o - 1)/11
Factor 2/3*t - 7/6*t**3 - 5/6*t**4 + 0 + 4/3*t**2.
-t*(t - 1)*(t + 2)*(5*t + 2)/6
Let n(u) = 8*u**2 + 7*u - 6. Let a be n(2). Let h = a - 40. Factor -1/4 + 1/4*v**2 + h*v.
(v - 1)*(v + 1)/4
Let j be 6/3 + -593*(-3)/(-12). Let p = 147 + j. Let -p*s**2 + 0 + 3/4*s = 0. What is s?
0, 1
Let p(s) = 4*s**3 + 14*s**2 - 2. Let j(f) = -13*f**3 - 42*f**2 - f + 6. Suppose h - 4 = 2*h. Let b(r) = h*j(r) - 11*p(r). What is m in b(m) = 0?
-1, 1/4
Let m = -88398/7 - -12629. Determine j so that m*j**2 + 10/7 - 27/7*j = 0.
2/5, 5
Suppose 0 = -14*g + 13*g + 4. Determine m so that 3*m**2 + 4*m**3 + m**2 + 14*m**4 - g*m - 18*m**4 = 0.
-1, 0, 1
Factor -4*q**2 + 0*q + 0 + 6*q**3 + 1/2*q**5 - 3*q**4.
q**2*(q - 2)**3/2
Let z = 20339 + -20337. Determine d so that 2/3*d**3 + 0 + 0*d**z - 2/3*d = 0.
-1, 0, 1
Let l = -720 + 409. Let f = -1541/5 - l. Suppose -4/5 - 2*j**2 - f*j = 0. What is j?
-1, -2/5
Let g(m) be the first derivative of -1 + 0*m + 5*m**4 - 32/3*m**3 + 8*m**2 - 4/5*m**5. Suppose g(i) = 0. Calculate i.
0, 1, 2
Let z(r) be the second derivative of r**6/345 - 5*r**5/46 + 36*r**4/2