x). Factor v(g).
-2*(g - 2)*(g - 1)
Let r = 8 - 14. Let f = r - -10. Factor -j + 3*j**2 - 8*j + 98*j**3 - 93*j**3 + j**f.
j*(j - 1)*(j + 3)**2
Factor 26/7*k**3 + 4/7 + 8*k**2 + 34/7*k.
2*(k + 1)**2*(13*k + 2)/7
Let p be (-3*(-3 + 2))/1. Let -2*j**2 - p*j**2 - 12 + 16*j + j**2 = 0. Calculate j.
1, 3
Let j(f) = 2*f**3 + 3*f**2 - 4*f + 1. Let p be j(2). Suppose -t - 2*a = 4*t - p, -4*t - 5*a = -27. Suppose -4/3*l**t + 2/9 - 2/9*l**2 + 4/3*l = 0. Calculate l.
-1, -1/6, 1
Let h(z) be the third derivative of z**8/1680 - z**7/175 + 13*z**6/600 - z**5/25 + z**4/30 - 355*z**2. Factor h(w).
w*(w - 2)**2*(w - 1)**2/5
Let i(l) be the second derivative of -l**7/98 - 3*l**6/7 - 891*l**5/140 - 270*l**4/7 - 648*l**3/7 - 23*l - 4. Determine x, given that i(x) = 0.
-12, -3, 0
Suppose 12*z - 8*z = -3*d + 32, -4*z + 5*d = 0. Factor 1/3*g**3 + g**2 - 2/3*g + 1/3*g**z + 0 - g**4.
g*(g - 2)*(g - 1)**2*(g + 1)/3
Let o(c) be the second derivative of -c**4/42 + 22*c**3/21 - 40*c**2/7 - 5*c + 4. Find k, given that o(k) = 0.
2, 20
Suppose -4*y = 3*r - 14, 2*y - 7*y - 5 = 0. Let h(q) be the first derivative of -9/2*q**2 - 3 + 9/4*q**4 + r*q - 3/5*q**5 - q**3. Solve h(d) = 0.
-1, 1, 2
Let z(l) = -637*l**3 - 278*l**2 - 30*l + 7. Let h(x) = -212*x**3 - 93*x**2 - 10*x + 2. Let m(o) = 7*h(o) - 2*z(o). Determine c so that m(c) = 0.
-2/7, -1/6, 0
Let f be (1/(10/49))/((-3)/(-6)). Let j = -9 + f. Suppose 7/5*b**4 + 23/5*b**3 + j*b + 4*b**2 + 0 = 0. Calculate b.
-2, -1, -2/7, 0
Let z(p) be the first derivative of -2*p**3/3 + 19*p**2 + 69. Factor z(w).
-2*w*(w - 19)
Let m(z) = -35*z**2 - 55*z + 30. Let s(q) be the third derivative of -7*q**5/12 - 55*q**4/24 + 5*q**3 - 27*q**2. Let l(t) = 3*m(t) - 4*s(t). Solve l(g) = 0.
-2, 3/7
Let u(n) = n**3 + 11*n**2 + 18*n + 3. Let w be u(-9). Factor -2*s**5 + s + 0*s**w + 3*s**5 + 0*s**5 - 2*s**3.
s*(s - 1)**2*(s + 1)**2
Suppose -60*t**5 + 58*t**5 + 2*t**4 - 3*t**2 - 24*t**4 - 28*t**2 + 5*t**2 + 50*t**3 = 0. Calculate t.
-13, 0, 1
Let f(b) = -b**2 + 11*b - 2. Let c be f(5). Suppose -821 + 797 = -8*y. Solve c*w - 14*w**2 + 0*w**3 - 15 - y + 2*w + 2*w**3 = 0 for w.
1, 3
Let z(s) be the third derivative of 4*s**2 + 3/2*s**4 + 0*s - 2/5*s**5 + 0 - 8/3*s**3 + 1/30*s**6. Find l such that z(l) = 0.
1, 4
Let u(c) be the first derivative of -c**4/44 - 8*c**3/11 + c**2/22 + 24*c/11 - 217. Factor u(j).
-(j - 1)*(j + 1)*(j + 24)/11
Suppose -16 + 72*l - l**4 + 8*l**2 + 9/2*l**5 - 36*l**3 = 0. What is l?
-2, 2/9, 2
Let v(h) be the third derivative of -1/12*h**5 - 18*h**2 + 0*h + 0 + 0*h**3 - 5/8*h**4. Factor v(y).
-5*y*(y + 3)
Factor 9/2*t**2 + 5/2*t**3 + 1/2*t**4 + 1 + 7/2*t.
(t + 1)**3*(t + 2)/2
Suppose 0 = 4*y, 8*y - 3*y = g + 86. Let j = g - -517/6. Factor 0 - j*d + 1/2*d**3 + 1/3*d**2.
d*(d + 1)*(3*d - 1)/6
Let m = 0 - -3. Suppose 2*s - p = 0, p - 3*p + 2 = -m*s. Factor 0 + 2/5*i**5 - 6/5*i**3 + 0*i + 4/5*i**s + 0*i**4.
2*i**2*(i - 1)**2*(i + 2)/5
Let x = 646 + -643. Let w(a) be the third derivative of 0*a**x - 2/105*a**7 + 0 + 0*a**4 + 1/84*a**8 + 0*a - 2*a**2 + 1/15*a**5 - 1/30*a**6. Factor w(h).
4*h**2*(h - 1)**2*(h + 1)
Let v(n) be the second derivative of 28*n + 1/27*n**4 + 0 + 0*n**2 + 1/270*n**6 + 1/45*n**5 + 0*n**3. Factor v(u).
u**2*(u + 2)**2/9
Let f(n) be the second derivative of -n**7/1575 - n**6/900 + n**5/450 + n**4/180 + 16*n**2 + 38*n. Let k(p) be the first derivative of f(p). Factor k(j).
-2*j*(j - 1)*(j + 1)**2/15
Let w(d) be the third derivative of -d**7/168 - d**6/8 - d**5/12 + 10*d**4 - 160*d**3/3 + 136*d**2. Determine o, given that w(o) = 0.
-8, 2
Let f(j) = j - 14. Let i be f(18). Let a(h) be the third derivative of -1/60*h**5 + 1/3*h**3 + 0 - 1/24*h**i - 6*h**2 + 0*h. Factor a(o).
-(o - 1)*(o + 2)
Let z = 2954/1915 + 22/383. Factor z + 10*x**2 - 8*x.
2*(5*x - 2)**2/5
Let k(x) = -x**2 + 76*x + 1477. Let p be k(92). What is q in 0*q + 5/4*q**3 + 0 + p*q**2 = 0?
-4, 0
Let w be 2*(-2)/(-5) - 21/70. Let p(r) be the second derivative of r**4 + 0*r**2 + 2/5*r**6 + 0 - w*r**3 - 9/10*r**5 - 1/14*r**7 + 2*r. Factor p(i).
-3*i*(i - 1)**4
Let q(d) = 26*d - 24. Let h be q(4). Let t = 80 - h. Factor t - 1/2*x**2 - 1/4*x - 1/4*x**3.
-x*(x + 1)**2/4
Let y(q) be the first derivative of 7*q**4/46 + 248*q**3/69 + 531*q**2/23 - 324*q/23 + 192. Factor y(d).
2*(d + 9)**2*(7*d - 2)/23
Let q = 3/712 - -9609/712. Factor -3/2*o**2 - 15*o - q.
-3*(o + 1)*(o + 9)/2
Let m be 3*(-3)/9 - 2. Let p be 10*(-4)/(-8) + m. Factor 18*w**3 - 5*w**3 - 8*w**3 - 7*w**3 + p*w.
-2*w*(w - 1)*(w + 1)
Let r = 17 - 15. What is s in 0*s**3 - r*s**4 - s**3 + 9*s + s**2 - 8*s + s**4 = 0?
-1, 0, 1
Suppose -5*t + 196 = 71. Suppose -3*u**4 - 4*u**2 + 9*u**3 - 6*u + t*u**5 - 28*u**5 + 7*u**2 = 0. Calculate u.
-2, -1, 0, 1
Let x(v) be the first derivative of -v**7/56 + 7*v**6/72 + v**5/4 - 2*v**3/3 - 7*v**2/2 - 3. Let y(u) be the third derivative of x(u). Factor y(t).
-5*t*(t - 3)*(3*t + 2)
Let n = -2103 - -2107. Determine o, given that -15/4*o**n - 5/4*o**5 - 5/2*o**3 + 15/4*o + 5/4 + 5/2*o**2 = 0.
-1, 1
Let x(p) = p**4 - 509*p**3 + 535*p**2 + 516*p - 501. Let a(j) = -170*j**3 + 178*j**2 + 172*j - 168. Let o(w) = 7*a(w) - 2*x(w). Suppose o(i) = 0. What is i?
-87, -1, 1
Let b(k) be the third derivative of k**5/70 + 2*k**4/21 + 4*k**3/21 - k**2 - k. Factor b(m).
2*(m + 2)*(3*m + 2)/7
Suppose -39*o + 42*o - 15 = h, 3*o = -2*h + 6. Let l(n) be the first derivative of 1/6*n**o + 2/9*n - 9 - 10/27*n**3 + 1/9*n**2. What is a in l(a) = 0?
-1/3, 1
Let o(d) be the first derivative of 4*d**3 - 806*d**2 + 536*d + 208. What is f in o(f) = 0?
1/3, 134
Suppose 10*v = 12*v - 8. Let z be (v/6)/((-11)/(-99)). Find l such that -3 + z*l + 12 - 9 - 3*l**2 = 0.
0, 2
Let i(y) be the third derivative of -7/120*y**4 - 1/15*y**3 - 1/525*y**7 + 0 + 0*y + 15*y**2 + 7/300*y**6 + 1/75*y**5 - 1/240*y**8. Let i(k) = 0. Calculate k.
-1, -2/7, 1
Let d(m) be the third derivative of -1/30*m**4 + 1/150*m**5 + 0 + 0*m - 27*m**2 + 1/15*m**3. Factor d(b).
2*(b - 1)**2/5
Let j(o) be the second derivative of o**6/105 - 2*o**5/35 + o**4/7 - 4*o**3/21 + o**2/7 + 9*o - 3. Factor j(f).
2*(f - 1)**4/7
Suppose 17*r - 18*r - 3*y = -18, -5*r = 4*y - 35. Find d, given that 2*d - 1/2*d**r - d**2 + 4 = 0.
-2, 2
Let p(v) = 8*v + 6. Let i be p(2). Factor 6*t**2 - 19*t**5 + 12*t**4 - 8 + 8 + i*t**5 + 15*t**3.
3*t**2*(t + 1)**2*(t + 2)
Suppose 5*r + 11 + 4 = 0, 0 = 5*h + 4*r + 7. Let g be 27/18 - (1 - h). Find q, given that q**4 + 1/2*q**5 - 2*q**2 + 2*q + 0 - g*q**3 = 0.
-2, 0, 1
Let m = -59 - -59. Let w(g) be the second derivative of 0*g**2 + m*g**3 + 1/72*g**4 + 1/120*g**5 + 0 + 5*g. Solve w(t) = 0.
-1, 0
Let p(a) be the third derivative of a**5/210 + 113*a**4/21 + 51076*a**3/21 - 87*a**2 + 2*a. Factor p(s).
2*(s + 226)**2/7
Find w such that 5/2*w - 4*w**3 - 3*w**2 + 2*w**4 + 3/2*w**5 + 1 = 0.
-2, -1, -1/3, 1
Suppose -32*x - s - 10 = -36*x, 2*x = -s + 2. Factor 2/3*v + 0 - 1/6*v**3 + 0*v**x.
-v*(v - 2)*(v + 2)/6
Let m(n) be the first derivative of -n**3/3 - 3*n**2/2 + 18*n - 26. Factor m(l).
-(l - 3)*(l + 6)
Let c(a) = a**3 - 3 - 2*a - 9 + 12*a**2 - 2*a**2. Let f be c(-10). Find m, given that -m + 2*m**2 + f + 5*m - 4 + 2*m = 0.
-2, -1
Let i = 6/5 - -3/10. Suppose 108 = 72*n - 18*n. Factor 3/4*l**n + 9/4*l + i.
3*(l + 1)*(l + 2)/4
Suppose 4*r - 81 = 235. Let z = -229/3 + r. Suppose 2/3*f**3 - z*f**2 + 7/3*f + 2/3*f**4 - 2/3 - 1/3*f**5 = 0. Calculate f.
-2, 1
Let x(u) be the first derivative of 5*u**6/24 - 6*u**5 + 135*u**4/2 - 360*u**3 + 810*u**2 - 318. Factor x(b).
5*b*(b - 6)**4/4
Let b(c) be the second derivative of 5*c**7/42 + 5*c**6/24 + c**5/16 + 73*c. Factor b(g).
5*g**3*(g + 1)*(4*g + 1)/4
Let t(y) be the second derivative of -1/150*y**5 - 1/15*y**3 + 1/15*y**2 + 27*y + 1/30*y**4 + 0. Determine w so that t(w) = 0.
1
Suppose 3*f - 3*u + 216 = 0, -4*u + 3 = -f - 69. Let y = f - -76. Let 3*h**3 - 1/2*h**5 + 1/2*h**y - 7*h**2 - 3/2 + 11/2*h = 0. What is h?
-3, 1
Let r be 4 + (-1304)/(-9 + 5). Let v = r + -964/3. Solve -8*d**2 + v*d**3 - 4*d**4 + 8/3*d + 0 + 2/3*d**5 = 0.
0, 1, 2
Let b = 3306 - 3304. Factor s - 1/8*s**2 - b.
-(s - 4)**2/8
Let n = 81 + -48. Let h = n + -33. Solve 0*w**2 + h*w - 1/3*w**3 - 1/3*w**4 + 0 = 0 for w.
-1, 0
Let u = -2695/3 - -901. Let 40/3*a + 20*a**3 - u - 6*a**4 - 74/3*a**2 = 0. Calculate a.
2/3, 1
