ive of 5*p**4/12 - 5*p**3/3 - 15*p**2/2 - 2*p + 57. Factor a(d).
5*(d - 3)*(d + 1)
Let i(x) = 2*x**2 + 186*x - 182. Let o(l) = -2*l**2 - 188*l + 183. Let v(u) = 7*i(u) + 6*o(u). Factor v(b).
2*(b - 1)*(b + 88)
Let u be 306/1122 + 5/(-99). Find q, given that 0*q**3 - 1/9*q - 2/9*q**4 + 1/9*q**5 + 0 + u*q**2 = 0.
-1, 0, 1
Let f(d) be the third derivative of -7*d**2 + 0 + 0*d**3 - 1/132*d**6 - 1/110*d**5 + 1/385*d**7 + 0*d + 1/462*d**8 + 1/132*d**4. Let f(b) = 0. What is b?
-1, 0, 1/4, 1
Suppose -7 = -3*t - q - 0, 4*t = 2*q + 26. Suppose -5*k + 5 = -5*o, 0 = t*k + 2*o + 2*o - 12. Suppose -1/4*w**4 - 1/4 - w**3 - 3/2*w**k - w = 0. Calculate w.
-1
Let z(r) be the second derivative of 1/12*r**4 + 6*r + 0 + 1/40*r**5 + 0*r**2 + 1/12*r**3. Solve z(c) = 0 for c.
-1, 0
Let m(u) = u**3 - 11*u**2 - 10*u - 21. Let l be m(12). Determine a, given that -20*a**2 + 5*a**5 + 2*a**4 + l*a**4 + 15*a**2 - 5*a**3 = 0.
-1, 0, 1
Let w = -116 - -118. Let c be (w - 2)/(16/(-8)) + 2. Solve 14/3*b**c + 2/3*b**3 + 6 + 10*b = 0.
-3, -1
Let b = 29 + -27. Solve -3*s**2 + 7*s**b + 2*s + s**3 - 3*s**2 - 4*s**2 = 0 for s.
0, 1, 2
Let n(y) be the third derivative of -3/20*y**5 + 0 - 1/120*y**6 + 18*y**2 - y**4 + 0*y - 8/3*y**3. Let n(g) = 0. What is g?
-4, -1
Let a(b) = -3*b**2 - 22*b - 21. Let h be a(-6). Suppose 7*k**4 - 21*k**5 - 24*k**h - 55*k**4 + 5*k**3 + 7*k**3 = 0. What is k?
-2, -2/7, 0
Let k(o) be the second derivative of o**5/90 + 37*o**4/54 + 367*o. Solve k(f) = 0 for f.
-37, 0
Suppose -26*y = -21*y + 180. Let s be -2*(y/(-21) + -2). Factor -2*o**4 - s + 46/7*o**3 - 54/7*o**2 + 26/7*o.
-2*(o - 1)**3*(7*o - 2)/7
Let j = -6527 + 32639/5. Let -j*l**5 + 12/5*l**4 - 16/5*l**2 + 0*l**3 + 0*l + 0 = 0. What is l?
-1, 0, 2
Let x(p) be the first derivative of -2/3*p**3 + 27 - 2*p**2 - 8/3*p - 1/12*p**4. Factor x(j).
-(j + 2)**3/3
Suppose 65/3*a + 0 + 5/3*a**2 = 0. What is a?
-13, 0
Suppose -3*z = 28*v - 29*v - 9, 5*z - 7 = -v. Let -1/8 + 1/8*i + 1/4*i**z = 0. Calculate i.
-1, 1/2
Let k(x) be the second derivative of x**7/280 + x**6/30 - x**5/8 + 3*x**3 + 12*x. Let t(i) be the second derivative of k(i). Factor t(s).
3*s*(s - 1)*(s + 5)
Let w(o) = -5*o + 8. Let k be w(-13). Let y = k - 70. Find g, given that 2/7 + 8/7*g**y + 16/7*g**4 - 12/7*g**2 - 2/7*g = 0.
-1, -1/2, 1/2
Factor -147*d**3 + 149*d**3 + 148*d**2 - 450*d**2.
2*d**2*(d - 151)
Let -48/5*f - 84/5 - 3/5*f**2 = 0. Calculate f.
-14, -2
Let v(a) = a**2 - 30*a - 29. Let y(r) = 5*r**2 - 151*r - 145. Let s(w) = -22*v(w) + 4*y(w). Factor s(q).
-2*(q - 29)*(q + 1)
Find p, given that -p**3 - 1/3*p + 1/3*p**4 + p**2 + 0 = 0.
0, 1
Let q(g) be the second derivative of g**8/336 - g**7/168 - g**6/72 + g**5/24 + g**3/3 - 13*g. Let f(n) be the second derivative of q(n). What is x in f(x) = 0?
-1, 0, 1
Let l be 66/21 + (-12)/4. Let t(n) = n**2 + 11*n + 31. Let v be t(-7). Factor -1/7*o**v + 2/7 + 3/7*o**2 - l*o**4 + 5/7*o.
-(o - 2)*(o + 1)**3/7
Determine j so that 0 - 4/9*j - 2/3*j**2 - 2/9*j**3 = 0.
-2, -1, 0
Suppose -4/3*n**2 - 36*n**3 + 0 + 36*n + 4/3*n**4 = 0. Calculate n.
-1, 0, 1, 27
Let z be 16/24*42/(-4). Let j = -2 - z. Suppose 4 - 2 + 4*h**2 - h**2 + j*h = 0. What is h?
-1, -2/3
Let s be (126/(-105))/((-2)/5). Factor d**3 + 17 + 7 + 0 + 92*d - 13*d**s + 56*d**2.
-4*(d - 6)*(d + 1)*(3*d + 1)
Let b(w) be the first derivative of w**3/12 - 47*w**2 + 8836*w - 306. Factor b(h).
(h - 188)**2/4
Suppose -3*z = -2*z - 3. Suppose -4*i - 2*h = -3 - 3, z = -h. Solve -w - 1/3 + w**i + 1/3*w**2 = 0.
-1, -1/3, 1
Factor -1805/2*p - 228*p**2 + 20577/4 - 1/4*p**4 - 27/2*p**3.
-(p - 3)*(p + 19)**3/4
Let j(s) be the first derivative of s**6/24 - s**5/15 - 10*s**2 + 40. Let v(h) be the second derivative of j(h). Factor v(t).
t**2*(5*t - 4)
Let u(a) be the first derivative of a**8/168 - a**6/20 - a**5/15 + 5*a**2/2 + 4. Let y(v) be the second derivative of u(v). Factor y(n).
2*n**2*(n - 2)*(n + 1)**2
Let v(a) = -459*a - 11014. Let g be v(-24). Factor 12/13*o**g + 22/13*o**3 + 0 + 6/13*o**4 + 0*o.
2*o**2*(o + 3)*(3*o + 2)/13
Let l(m) be the first derivative of 1/12*m**3 + 16 + 13/4*m**2 + 169/4*m. Factor l(d).
(d + 13)**2/4
Let g(i) be the third derivative of -i**7/6300 + i**5/300 + 23*i**4/24 - 51*i**2. Let b(a) be the second derivative of g(a). Determine y so that b(y) = 0.
-1, 1
Factor -s**2 - 3*s**3 + 2667*s + 8 - 2669*s - 12*s**2.
-(s + 1)*(s + 4)*(3*s - 2)
Let n be 13/(2457/42)*3*1. Find o, given that 0*o + 0 + 2/9*o**2 + 2/9*o**5 + n*o**4 + 2/3*o**3 = 0.
-1, 0
Let v(k) be the third derivative of k**7/1680 + k**6/96 - 23*k**5/480 + k**4/16 + 223*k**2. Factor v(c).
c*(c - 1)**2*(c + 12)/8
Determine h, given that 169/4*h + 13/2*h**2 + 1/4*h**3 + 0 = 0.
-13, 0
Let a(t) = -t**3 - 13*t**2 - 13*t - 12. Let p be (-3*(-4)/(-30))/((-2)/(-60)). Let q be a(p). Factor 1/2*h**3 + 0*h + q + 1/2*h**2.
h**2*(h + 1)/2
Let z(g) be the third derivative of g**5/30 + 17*g**4/3 + 1156*g**3/3 - 2*g**2 + 80. Solve z(n) = 0 for n.
-34
Let d(b) = -4*b + 70. Let n be d(17). Suppose 14*p**2 + 11*p**2 + 0*p**n - 365*p - 158 + 8 = 0. What is p?
-2/5, 15
Let n(f) be the third derivative of 0 - 11/180*f**5 + 19*f**2 + 0*f + 1/36*f**4 + 5/1008*f**8 - 17/630*f**7 + 7/120*f**6 + 0*f**3. Factor n(h).
h*(h - 1)**3*(5*h - 2)/3
Let o(i) be the first derivative of 2/3*i**3 - 1/4*i**4 + 0*i + 14 - 1/2*i**2. Factor o(p).
-p*(p - 1)**2
Let a(l) = l**2 + l + 4. Let y(b) = -b + 1. Let x(q) = a(q) - 2*y(q). Find n such that x(n) = 0.
-2, -1
Suppose -12 = -8*v + 12. Let 2*g**3 - 3*g**3 + 6*g**4 + 9*g**4 - 20*g**5 + 6*g**v = 0. What is g?
-1/4, 0, 1
Let z(a) be the third derivative of a**8/1680 - a**7/525 - a**6/75 - a**5/150 + 7*a**4/120 + 2*a**3/15 - 79*a**2. Factor z(w).
(w - 4)*(w - 1)*(w + 1)**3/5
Suppose -182*n - 1 - 17 - n**2 + 191*n = 0. Calculate n.
3, 6
Let y be 265/25 - 3/5. Factor y*x**2 - 4*x + 11 - 2*x - 24 + 9.
2*(x - 1)*(5*x + 2)
Suppose 3*j + 3*l + 600 = -0*l, 0 = -3*j - 5*l - 600. Let k be j/(-16)*4/35. Find x such that k*x**4 + 0 - 8/7*x**2 + 16/7*x - 2/7*x**5 - 12/7*x**3 = 0.
-1, 0, 2
Let b(z) = 85*z**2 - 352*z + 404. Let l(j) = 254*j**2 - 1058*j + 1211. Let w(p) = -11*b(p) + 4*l(p). Determine h, given that w(h) = 0.
20/9
Let b(m) be the first derivative of 3*m**5/20 - 5*m**4/4 + 13*m**3/6 - m**2/2 - 5*m/4 - 97. Solve b(o) = 0 for o.
-1/3, 1, 5
Let q be (3/1)/(7 + 688/(-100)). Factor -8*f**2 - q + 13 + 44*f - 8.
-4*(f - 5)*(2*f - 1)
Suppose 2/11 + 2/11*z**3 - 2/11*z - 2/11*z**2 = 0. What is z?
-1, 1
Let s = -40 + 721/18. Let q = s + 4/9. Factor 1/2*n + 0 + q*n**2.
n*(n + 1)/2
Let x = 154/745 - 1/149. Find h, given that 0 + x*h**5 - 4/5*h**4 + 0*h**2 + 0*h + 4/5*h**3 = 0.
0, 2
Factor -154991 + 15*q**4 + 154991 + 3*q**5 - 10*q - 14*q + 18*q**3 - 12*q**2.
3*q*(q - 1)*(q + 2)**3
Factor -3/5*p**2 + 27/5 - 24/5*p.
-3*(p - 1)*(p + 9)/5
What is l in 2/9*l**2 + 100/9 - 34/3*l = 0?
1, 50
Factor 0*b**2 - 2*b**2 - 95*b**3 + 6*b**2 - 8*b**2 + b**4 + 16*b + 91*b**3.
b*(b - 4)*(b - 2)*(b + 2)
Factor 7499*h**3 + 330*h**2 - h - 7544*h**3 + h - 3*h**4 - 102*h**2.
-3*h**2*(h - 4)*(h + 19)
Determine n, given that -14/3*n**4 + 0 + 32/3*n**2 - 10/3*n**3 - 8/3*n = 0.
-2, 0, 2/7, 1
Let y(t) be the second derivative of -7*t**6/75 - 4*t**5/5 - 23*t**4/30 + 2*t**3/3 + 107*t. Determine l, given that y(l) = 0.
-5, -1, 0, 2/7
Let k be (5 - (-6)/(-3))*(-6)/(-9). Factor 4*m + 8*m**3 + 0 + 32/3*m**k + 0*m**4 - 4/3*m**5.
-4*m*(m - 3)*(m + 1)**3/3
Suppose -15*p + 4 = -13*p. Find t, given that -2*t**5 - 55*t**3 - 2*t**2 - 4*t + 64*t - 3*t**5 + 12*t**p - 40 + 30*t**4 = 0.
-1, 1, 2
Factor -16/5*n + 4/5*n**2 - 4.
4*(n - 5)*(n + 1)/5
Let y = 14 + -11. Let q be (1 - 1 - y)/((-6)/8). Factor 0 + s**2 + 7/2*s**3 + 0*s + q*s**4 + 3/2*s**5.
s**2*(s + 1)**2*(3*s + 2)/2
Suppose -54*k + 55*k - 3*w - 17 = 0, -2*w - 10 = 0. What is h in 2/11*h**k + 0*h - 2/11 = 0?
-1, 1
Factor 2/11*g**2 + 120/11*g + 1800/11.
2*(g + 30)**2/11
Solve -3/2*z**2 + 21*z - 99/2 = 0 for z.
3, 11
Let p(s) = -70*s - 348. Let w be p(-5). Factor 4/7 + 8/7*d**3 + 26/7*d**w + 22/7*d.
2*(d + 1)*(d + 2)*(4*d + 1)/7
Factor -h**3 + 1 + h - 1/4*h**4 - 3/4*h**2.
-(h - 1)*(h + 1)*(h + 2)**2/4
Let d(a) be the third derivative of -a**7/525 - 11*a**6/100 - 21*a**5/50 - 31*a**4/60 - 14*a**2 - 3*a. Factor d(m).
-2*m*(m + 1)**2*(m + 31)/5
Let q(u) = 3*u**2 - 