 + 0*b**2 + 1/2*b**3 - n*b**6 - 3/10*b**5 + 3/8*b**4. Solve o(g) = 0 for g.
-1, 0, 1
Let d(v) = 15*v**4 - 65*v**3 + 45*v**2 + 60*v - 55. Let p(g) = -23*g**4 + 98*g**3 - 68*g**2 - 90*g + 83. Let b(a) = -8*d(a) - 5*p(a). Factor b(r).
-5*(r - 5)*(r - 1)**2*(r + 1)
Let x(n) = -44*n - 744. Let v be x(-17). Let o(h) be the second derivative of 14*h - 2/3*h**3 + v*h**2 - 1/3*h**4 + 0. Factor o(j).
-4*(j - 1)*(j + 2)
Let -5 + 14 + 60*h - 5*h**2 - 4*h**2 - 60 = 0. What is h?
1, 17/3
Suppose 18*j - 48 = 20*j. Let c = 26 + j. Factor c*u - 3*u**2 - 2 + 2*u**2 + 1.
-(u - 1)**2
Let n(w) = -w**2 + 10*w - 12. Let m be n(6). Let 4*h**3 + h**3 + 2*h**3 + 5*h**3 + m*h**2 - 147*h**4 - 147*h**5 = 0. Calculate h.
-1, -2/7, 0, 2/7
Let r(i) = 3*i**3 + 24*i**2 - 30*i - 69. Let q(o) = 3*o**3 + 23*o**2 - 28*o - 72. Let t(w) = -3*q(w) + 4*r(w). Let t(x) = 0. What is x?
-10, -1, 2
Let p be ((-112)/(-12))/(-7)*-1. Let s = -77 - -80. Factor p + 3*u**4 + 37/3*u**2 - 20/3*u - 10*u**s.
(u - 1)**2*(3*u - 2)**2/3
Let l(y) be the first derivative of 0*y + 1/14*y**4 - 50 - 6/7*y**2 + 2/21*y**3. Factor l(c).
2*c*(c - 2)*(c + 3)/7
Let g = 437 + -435. Let n(i) be the first derivative of 4/3*i + 2/9*i**3 + 6 - i**g. Find d such that n(d) = 0.
1, 2
Solve -19/2*x - 6 - 4*x**2 - 1/2*x**3 = 0.
-4, -3, -1
Let r(a) be the first derivative of -2/3*a**4 + 4*a**2 - 13*a - 8 + 2*a**3. Let u(g) be the first derivative of r(g). Factor u(t).
-4*(t - 2)*(2*t + 1)
Let u(k) be the first derivative of k**4/4 + 2*k**3/3 - 7*k**2/2 + 4*k + 92. Let u(v) = 0. Calculate v.
-4, 1
Let k(o) = 3 - 14 + o + 12. Let h(g) = -22*g**3 - 26*g**2 - 22*g - 18. Let n(t) = 2*h(t) + 36*k(t). Factor n(l).
-4*l*(l + 1)*(11*l + 2)
Suppose 10*z - 96 = 84. Let v be (16/z)/(20/15). Solve -v*y**2 + 2/3 + 0*y = 0.
-1, 1
Suppose -12*m + 44 + 4 = 3*s, 5*m - 20 = -s. Suppose s*g + 0 - 12/11*g**2 + 10/11*g**3 + 2/11*g**4 = 0. What is g?
-6, 0, 1
Let i(r) be the second derivative of -r**7/56 + 13*r**6/120 - r**5/5 + r**4/12 - 193*r. Factor i(z).
-z**2*(z - 2)**2*(3*z - 1)/4
Let d(q) be the second derivative of 1/30*q**6 + 1/84*q**7 - 1/12*q**4 - 17*q + 0*q**3 + 0*q**2 + 0 - 1/40*q**5. Factor d(f).
f**2*(f - 1)*(f + 1)*(f + 2)/2
Find u such that -1/3*u**2 - 10/3*u - 16/3 = 0.
-8, -2
Factor -2*o**2 - 6*o**3 + 0*o**2 - 179*o**5 - 6*o**4 + 177*o**5.
-2*o**2*(o + 1)**3
Let i(w) be the third derivative of -1/60*w**5 + 1/6*w**3 + 0*w + 0*w**4 + 0 - 8*w**2. Factor i(r).
-(r - 1)*(r + 1)
Determine f, given that -46*f + 120*f**2 - 108*f + 5*f**4 - 38*f**3 + 4*f - 280 + 155*f**2 + 188*f**3 = 0.
-28, -2, -1, 1
Let j(v) be the first derivative of -v**5/10 + 21*v**4/4 - 397*v**3/6 - 231*v**2 - 242*v - 294. What is f in j(f) = 0?
-1, 22
Find z such that 0 - 1/2*z - 7/3*z**2 + 5*z**4 - 3/2*z**5 - 2/3*z**3 = 0.
-1/3, 0, 1, 3
Let w(k) be the first derivative of 7*k**4/16 - 29*k**3/12 + 25*k**2/8 - 3*k/4 - 244. Find h, given that w(h) = 0.
1/7, 1, 3
Suppose 0 = -k + f + 5, 2*k - 4*k + 19 = -5*f. Factor 2*b**3 - 2*b**5 + 3*b + b**5 - k*b - 2*b.
-b*(b - 1)**2*(b + 1)**2
Let o(f) be the third derivative of 1/12*f**3 + 9*f**2 + 0 + 5/96*f**4 + 0*f + 1/60*f**5 + 1/480*f**6. Find w such that o(w) = 0.
-2, -1
Let q(f) be the second derivative of f**4/60 + 11*f**3/30 - 54*f + 3. Factor q(w).
w*(w + 11)/5
Find a such that -5*a**2 + 7*a**4 + 4*a**2 - 4*a**4 - 2*a**2 = 0.
-1, 0, 1
Let u(v) be the third derivative of v**8/672 + v**7/210 - v**6/240 - v**5/60 + 53*v**2. Factor u(j).
j**2*(j - 1)*(j + 1)*(j + 2)/2
Factor 32/11 + 16/11*b + 2/11*b**2.
2*(b + 4)**2/11
Suppose -7*u + 17 - 3 = 0. Solve 2*d**u + 9*d**4 - 5*d**3 + d**2 - 4*d**3 - 3*d**5 = 0 for d.
0, 1
Let p(f) be the third derivative of -f**8/26880 - f**7/10080 - f**4/4 + 11*f**2. Let x(c) be the second derivative of p(c). Suppose x(h) = 0. What is h?
-1, 0
Let t(d) be the first derivative of 5*d**3/2 - 93*d**2/4 + 9*d + 17. Factor t(q).
3*(q - 6)*(5*q - 1)/2
Let m(s) = s**3 - 44*s**2 - 53*s + 365. Let t be m(45). Factor 0*b + 1/2*b**t + 13/4*b**4 + 0 + 6*b**3 + 9/4*b**2.
b**2*(b + 3)**2*(2*b + 1)/4
Let k(t) = -44*t**4 - 144*t**3 - 264*t**2 - 148*t. Let z(g) = -18*g**4 - 58*g**3 - 106*g**2 - 59*g. Let b(x) = -5*k(x) + 12*z(x). Suppose b(l) = 0. What is l?
-2, 0
Let k(h) be the first derivative of h**3/8 + 15*h**2/16 + 9*h/4 - 4. What is n in k(n) = 0?
-3, -2
Suppose 6*o = 2*o + 4. Factor -7 + 12*p - 1 - 3*p**2 + 0 - o.
-3*(p - 3)*(p - 1)
Let p(d) be the third derivative of 5*d**7/147 + 29*d**6/84 + 127*d**5/105 + 5*d**4/3 + 8*d**3/7 - 379*d**2. What is x in p(x) = 0?
-3, -2, -2/5
Let s(w) be the second derivative of w**6/90 + 11*w**5/20 - 35*w**4/12 + 107*w**3/18 - 6*w**2 - 901*w. Factor s(x).
(x - 1)**3*(x + 36)/3
Suppose 2*v - 78 = 5*i + 2, 56 = -2*i - 4*v. Let o = i + 20. Factor 0 + 1/2*m**o - 1/4*m - 1/4*m**3.
-m*(m - 1)**2/4
Suppose -16*n - 5412 = 6*n. Let d = n - -495/2. Let 0 + d*a**3 - 1/2*a**5 + 1/2*a**4 - 1/2*a**2 - a = 0. Calculate a.
-1, 0, 1, 2
Let i(d) = d**5 + d**4 - 4*d**3 + 8*d**2 - 9*d - 3. Let g(y) = -2*y**5 - y**4 + 7*y**3 - 17*y**2 + 17*y + 7. Let s(p) = 6*g(p) + 11*i(p). Factor s(v).
-(v - 3)**2*(v - 1)*(v + 1)**2
Let p(h) = -h**2 + 22*h + 26. Let g be p(23). Let j(r) be the first derivative of 0*r - 2*r**g + 2 - 2/5*r**5 + 0*r**2 - 2*r**4. Factor j(y).
-2*y**2*(y + 1)*(y + 3)
Let n(x) = 9 - 3*x + 3 + 2*x**2 - 1. Let a(y) = y**2 + 1. Let h = -3 - 2. Let q(d) = h*a(d) + n(d). Factor q(b).
-3*(b - 1)*(b + 2)
Let g(i) = -21*i**2 + 1779*i - 38829. Let p(s) = -3*s**2 + 254*s - 5547. Let v(j) = 4*g(j) - 27*p(j). Solve v(u) = 0.
43
Let f be (-25)/(-126) - 5/(30/(-8)). Let j = f - 7/18. Suppose 2/7*c**2 + 8/7 - j*c = 0. Calculate c.
2
Let o(n) be the third derivative of -n**6/120 - 19*n**5/60 - 31*n**4/24 + 17*n**3/2 - 120*n**2 + n. Let o(v) = 0. What is v?
-17, -3, 1
Suppose -7*l = -0*l - 294. Let a be l/20 + 2 - (-22)/55. What is g in 27/2*g + a*g**2 + 1/2*g**3 + 27/2 = 0?
-3
Suppose 4*n**2 - 1/2*n**3 + 5 - 17/2*n = 0. What is n?
1, 2, 5
Factor 21/2*x**2 - 15/8*x**3 - 15/4 - 39/8*x.
-3*(x - 5)*(x - 1)*(5*x + 2)/8
Let o(k) = -3*k**4 + 7*k**3 + 15*k**2 + 5*k - 2. Let q(g) = -7*g**4 + 14*g**3 + 29*g**2 + 8*g - 5. Let y(n) = -5*o(n) + 2*q(n). Find z, given that y(z) = 0.
-1, 0, 9
Let o be 2/12 - (-20615)/(-186). Let p = 111 + o. Factor -2/3 - p*g**2 - g.
-(g + 1)*(g + 2)/3
Let m(t) = t**2 + 7*t - 6. Let v be m(-8). Let z = 28661/4 + -7165. Factor 1/4*q**v + z*q + 0.
q*(q + 1)/4
Let p = 929 - 8353/9. Let g be (4 - (-122)/(-18)) + (3 - 0). Suppose g*f**4 + 0 + p*f**2 + 0*f + 8/9*f**3 = 0. What is f?
-2, 0
Let z be (2 + (-3)/(-6)*-14)*-1. Let -107*q**2 - z*q**4 + 6*q**3 + 97*q**2 + 9*q**3 = 0. Calculate q.
0, 1, 2
Let r(h) = 3*h. Let j be r(1). Solve 2*n - 7 - 2*n**3 - j*n**2 + 1 + 9*n**2 = 0.
-1, 1, 3
Let n(g) = g**3 + 4*g**2 - 2*g - 3. Let l be n(-2). Let 1 + 0*v**4 - l*v - v**4 + 11*v - v**3 - v**3 = 0. What is v?
-1, 1
Let k(i) = -i + 10. Let b = -308 + 315. Let v be k(b). Let 0*c**2 - 3/2*c + 1/2*c**v - 1 = 0. What is c?
-1, 2
Let j be ((-936)/(-27))/8 + (-18)/6. Factor -j*r - 8/3*r**2 - 1/3*r**4 + 0 - 5/3*r**3.
-r*(r + 1)*(r + 2)**2/3
Let b(w) = -15*w**3 + 5*w**2 + 5*w + 5. Let r(l) = l**5 + 2*l**3 - l**2 - l - 1. Let m(j) = -b(j) - 5*r(j). Solve m(a) = 0.
-1, 0, 1
Let m = 653/15 - 644/15. Let m*f - 6/5 + 3/5*f**2 = 0. Calculate f.
-2, 1
Suppose -2*b - 2*b + 16 = 0. Let f(m) = -4*m**3 - m**2 + 2*m + 2. Let i be f(-1). Factor -6 + 3*u**4 + 3*u**i + b + 2.
3*u**3*(u + 1)
Let b(l) be the first derivative of -5*l**8/336 + l**6/12 - 5*l**4/24 + l**2 - 6. Let p(a) be the second derivative of b(a). What is k in p(k) = 0?
-1, 0, 1
Let f be (-2)/20 - -4*(-527)/(-680). Solve 0 + 1/2*r**f + 1/4*r**2 + 0*r + 1/4*r**4 = 0.
-1, 0
Let u be 156/9*(-9)/(-42). Let o = -324/91 + u. Suppose -2/13*p**3 - o*p**2 - 6/13 + 10/13*p = 0. Calculate p.
-3, 1
Let b(l) be the third derivative of l**6/60 + 3*l**5/2 - l**4/12 - 15*l**3 - 535*l**2. Factor b(q).
2*(q - 1)*(q + 1)*(q + 45)
Let p(b) = b**3 - 9*b**2 + 6*b + 1. Let q be p(8). Let i = 19 + q. What is s in 10*s - 2*s**3 - 8*s**3 + 4 - 10*s**2 + 7*s**4 - s**i = 0?
-1, -1/3, 1, 2
Let n(j) be the third derivative of j**8/40320 - j**7/10080 - 8*j**5/15 + 19*j**2. Let d(t) be the third derivative of n(t). Factor d(b).
b*(b - 1)/2
Let s be 30*(1/1 - (-12)/(-20)). F