/17
Suppose -136 - 36 = 4*n. Let y = 173/4 + n. Factor y*t - 1/4*t**2 + 0.
-t*(t - 1)/4
Factor -112/15*a - 1568/15 - 2/15*a**2.
-2*(a + 28)**2/15
Let j(d) be the second derivative of -d**7/14 + 7*d**6/10 - 9*d**5/10 - 8*d**4 + 16*d**3 + 182*d. Solve j(n) = 0.
-2, 0, 1, 4
Suppose -2*m = 5*r - 4 - 16, -2*m = -3*r - 36. Factor 6*v**2 - 7*v**2 + 15*v - m*v + 1.
-(v - 1)*(v + 1)
Let f(q) be the second derivative of q**7/1260 + q**6/360 - q**5/10 - q**4 + 4*q. Let g(x) be the third derivative of f(x). Factor g(p).
2*(p - 2)*(p + 3)
Let x(c) be the second derivative of c**6/165 - 3*c**5/2 + 2241*c**4/22 + 6889*c**3/33 - 556*c. Factor x(f).
2*f*(f - 83)**2*(f + 1)/11
Let m(x) = x**3 + 4*x**2 - 103*x - 544. Let j be m(-6). Determine z so that 1 - z**j - 3/2*z = 0.
-2, 1/2
Let l(f) = -2*f**3 + 6*f - 1. Let u be l(2). Let m be (-8)/u*(-400)/(-224). Let 2/7*h**2 + 50/7 + m*h = 0. What is h?
-5
Let l = 6/1001 + 40/143. Factor 0*s**2 + 2/7*s**3 + 0 - l*s.
2*s*(s - 1)*(s + 1)/7
Let f(p) be the first derivative of p**4/4 + 53*p**3 + 6399*p**2/2 + 6241*p + 641. Factor f(c).
(c + 1)*(c + 79)**2
Let v(g) be the first derivative of 28/9*g**3 + 0*g + 13/6*g**4 + 4/3*g**2 - 1/5*g**5 - 1/2*g**6 + 16. Determine b so that v(b) = 0.
-1, -2/3, 0, 2
Let a(d) be the second derivative of d**7/189 - 26*d**6/135 + 128*d**5/45 - 608*d**4/27 + 2816*d**3/27 - 2560*d**2/9 + 2*d - 369. Factor a(g).
2*(g - 10)*(g - 4)**4/9
Factor -116*w**2 - 19*w**4 - 74*w**3 - 20 - 10*w**5 + 3*w**4 - 79*w + 11*w**5.
(w - 20)*(w + 1)**4
Suppose 39*x = 44*x - 5. Let s be (-32)/(-112)*(x - -1). Suppose 64/7*g**5 + 0*g**2 + 0*g + s*g**3 + 0 + 32/7*g**4 = 0. What is g?
-1/4, 0
Let r(c) be the second derivative of c**6/180 - c**5/20 + 13*c**4/72 - c**3/3 + c**2/3 - 316*c. Factor r(a).
(a - 2)**2*(a - 1)**2/6
Let u(c) be the second derivative of 2*c**6/15 - 18*c**5/5 + 32*c**4 - 256*c**3/3 + 10*c + 5. Factor u(p).
4*p*(p - 8)**2*(p - 2)
Let t(z) = 10*z**4 + 15*z**3 - 10*z**2 + 3*z. Let c(n) = -29*n**4 - 44*n**3 + 30*n**2 - 8*n. Let f(h) = -6*c(h) - 17*t(h). Factor f(d).
d*(d - 1)*(d + 3)*(4*d + 1)
Let n(m) = 45*m**5 - 80*m**4 + 10*m**3 + 30*m**2 - 55*m + 20. Let j(g) = g**5 - 2*g**3 - g**2 + g. Let f(z) = -30*j(z) + n(z). Solve f(b) = 0.
-1, 1/3, 1, 4
Let x(z) = z**3 - 8*z**2 + z + 6. Let c be x(3). Let v be (-34)/c - ((-35)/(-10) - 3). Factor -v*g**2 + 4/9*g**3 - 2/9 - 7/9*g.
(g - 2)*(2*g + 1)**2/9
Let z(v) be the second derivative of 1/20*v**5 + 0*v**4 - 1/60*v**6 + 0*v**3 + 0*v**2 + 0 - 12*v. Solve z(d) = 0 for d.
0, 2
Let v(g) be the third derivative of 1/120*g**5 + 0*g + 0*g**3 + 1/16*g**4 - g**2 + 0. Factor v(l).
l*(l + 3)/2
Let k = 5472 + -5472. Let -i**2 - 3/5*i**4 - 1/5*i - 7/5*i**3 + k = 0. Calculate i.
-1, -1/3, 0
Let n(t) be the second derivative of 5*t**6/6 + t**5/4 - 25*t**4/12 - 5*t**3/6 + 131*t. Factor n(v).
5*v*(v - 1)*(v + 1)*(5*v + 1)
Find k such that -9*k + 6 - 3/4*k**4 + 9/4*k**3 + 3/2*k**2 = 0.
-2, 1, 2
Let i(x) = x**2 - 45*x - 614. Let z be i(56). Factor 1/5*b + 2/5*b**4 + 0 - 1/5*b**5 + 0*b**3 - 2/5*b**z.
-b*(b - 1)**3*(b + 1)/5
Let j = -93 - -95. Factor q**2 + q**j + 16 + q**2 - 15*q - 4.
3*(q - 4)*(q - 1)
Let v(m) be the first derivative of -m**6/100 - 2*m**5/25 - m**4/5 + 6*m**2 - 28. Let f(r) be the second derivative of v(r). Factor f(x).
-6*x*(x + 2)**2/5
Let b be (-6)/9 + 426/108 + 4/18. Find v such that 3/2*v**2 + v - 3/2*v**5 - 3/2*v**3 - b*v**4 + 0 = 0.
-1, 0, 2/3
Suppose -7*w - w + 32 = 0. What is l in 8 - 7 + 6*l**w - 3*l**3 - 3*l**5 - 1 = 0?
0, 1
Let l(q) = 2*q**4 + 8*q**3 + 2*q**2 - 4*q. Let h(v) = v**3 - v. Let f be (-2)/12 - (-140)/120. Let g(t) = f*l(t) - 4*h(t). Determine o so that g(o) = 0.
-1, 0
Suppose 6*c + 11 + 1 = 0. Let b = 5 + c. Suppose -23*n**4 - 3*n**3 + 7*n**b + 9*n**4 = 0. What is n?
0, 2/7
Let w = 0 + 2. Suppose -2*i - 21 = -5*s, w*i + 0*s + 11 = 3*s. Determine c so that 3 - 3*c**i + 6*c + 0*c**2 + 6*c**2 = 0.
-1
Let f be -2 - 43/((-2924)/144). Determine u, given that -f*u**2 - 16/17 + 12/17*u = 0.
2, 4
Let n(i) be the second derivative of -i**5/10 + 5*i**4/6 - 8*i**3/3 + 4*i**2 + 12*i - 7. Let n(f) = 0. Calculate f.
1, 2
Factor 12*c + 8/15*c**3 - 10/3 + 26/5*c**2.
2*(c + 5)**2*(4*c - 1)/15
Find y such that -7*y**2 - 28*y - 9*y**3 + 11*y**3 + 17*y**2 = 0.
-7, 0, 2
Factor 0 + 3/5*s**3 + 3*s**2 + 12/5*s.
3*s*(s + 1)*(s + 4)/5
Let g(s) = s**2 + s - 1. Suppose 0*z - 3*z = -6. Let w(t) = 0*t**2 - 2*t**2 + 32*t - 7*t**z - 37*t + 7. Let a(f) = 14*g(f) + 2*w(f). Let a(p) = 0. Calculate p.
0, 1
Let 47*k**4 + 49*k**4 - 464*k**3 + 144*k**5 + 100*k**2 - 8*k + 132*k**3 = 0. Calculate k.
-2, 0, 1/6, 1
Let h(i) = -i**3 - i**2 + i + 1. Let n(l) = l**3 - 5*l**2 - 46*l + 50. Let g(a) = -2*h(a) + n(a). Factor g(y).
3*(y - 4)*(y - 1)*(y + 4)
Solve 0*d - 1/10*d**2 + 2/5 = 0 for d.
-2, 2
Let s(d) be the second derivative of -d**5/40 + 5*d**4/8 - 4*d**3 + 11*d**2 - 18*d - 3. Let s(c) = 0. What is c?
2, 11
Let o(h) be the third derivative of -h**6/24 - 23*h**5/12 - 185*h**4/8 - 255*h**3/2 - 11*h**2 + h. What is v in o(v) = 0?
-17, -3
Suppose -4*i = i - 190. Determine c, given that -3*c**4 - 3*c + 2 - 3*c**5 - 32*c**2 + i*c**2 - 5 + 6*c**3 = 0.
-1, 1
Let b(l) be the second derivative of -l**10/7560 - l**9/1890 + l**7/315 + l**6/180 + 2*l**4/3 - 14*l. Let y(q) be the third derivative of b(q). Factor y(k).
-4*k*(k - 1)*(k + 1)**3
Let y(m) be the first derivative of -2*m**3/9 - 98*m**2/3 - 4802*m/3 + 473. Let y(n) = 0. What is n?
-49
Let 132*c**3 + 4902*c + 378*c - 7*c**4 - 1692*c**2 - 4800 + 4*c**4 = 0. Calculate c.
2, 20
Let y be (0 - (-3 + 12))*26/(-117). Let g(u) be the first derivative of 2/21*u**3 - 9 + 0*u**y - 2/7*u. What is l in g(l) = 0?
-1, 1
Suppose -2*n - 10 = -q, 2374*n - 2376*n = q + 6. Solve 0 - 20/7*k**q + 24/7*k + 4/7*k**4 - 8/7*k**3 = 0.
-2, 0, 1, 3
Determine k, given that 6/5*k**3 - 6/5 + 14/5*k**2 - 14/5*k = 0.
-3, -1/3, 1
Factor -11/5*w**2 + 0 - 2*w - 1/5*w**3.
-w*(w + 1)*(w + 10)/5
Factor 0 - 4/15*z**3 + 2/15*z**5 + 0*z + 0*z**2 + 2/15*z**4.
2*z**3*(z - 1)*(z + 2)/15
Let m(h) be the first derivative of -h**4/6 - 5*h**3/3 - 8*h - 13. Let j(d) be the first derivative of m(d). Factor j(c).
-2*c*(c + 5)
Suppose -5*d = 5*q - 30, -5*d = -2*q + 4 - 6. Suppose -3*b + 7 = 5*k - 0*b, 5 = k - 3*b. Solve 5*h**2 - 9*h**k + 3*h**2 + q*h = 0 for h.
0, 4
Suppose 0 = -22*b + 17*b + 245. Suppose -4*a - 37 = -b. Find l such that -2/3*l**5 + 4/3*l + 2/3*l**4 + 0 + 2*l**a - 10/3*l**2 = 0.
-2, 0, 1
Let a(f) be the first derivative of -f**4/12 + f**2/6 + 280. Factor a(m).
-m*(m - 1)*(m + 1)/3
Suppose 37*p - 195 + 0 = -28*p. Solve -6/11 + 8/11*v**p - 16/11*v**2 - 2*v = 0.
-1/2, 3
Let q = 105 - 92. Let -16*u**2 + q*u**2 - 2*u**4 + 2*u + 9*u**2 - 4 - 2*u**3 = 0. What is u?
-2, -1, 1
Let q(w) be the third derivative of 2*w**7/35 - w**6/15 - 19*w**5/15 - w**4 + 65*w**2. Find c, given that q(c) = 0.
-2, -1/3, 0, 3
What is g in 3/2*g**2 - 3/4 + 0*g**3 + 0*g - 3/4*g**4 = 0?
-1, 1
Let w be (-4)/(4/75*6/16). Let g be (-9 - -3)*(-5)/w*-4. Find j, given that -g + 3/5*j**2 + 3/5*j - 3/5*j**3 = 0.
-1, 1
Suppose 0 = 179*r + 22*r + 67*r. Factor -2/11*t**2 - 12/11*t + r.
-2*t*(t + 6)/11
Suppose -8*m + 2*d + 22 = 0, -10*m = -7*m + 4*d - 13. Let o be (1 - -1) + 20/(-14). Factor -2/7*f**m + o + 8/7*f**2 - 10/7*f.
-2*(f - 2)*(f - 1)**2/7
Let t(j) = j**2 + 5*j + 4. Let g be t(-4). Factor -20 + 37 - 2*o**2 - 16 + o**4 + g*o**4.
(o - 1)**2*(o + 1)**2
Let d(j) be the first derivative of -2/55*j**5 + 1/11*j**4 - 1/33*j**6 + 0*j**2 + 0*j**3 - 32 + 0*j. Factor d(s).
-2*s**3*(s - 1)*(s + 2)/11
Let l(q) = -15*q + 10*q - q**2 - 4*q + 18 - 14*q. Let b(g) = -g**2 - 47*g + 34. Let z(v) = -3*b(v) + 7*l(v). Suppose z(a) = 0. Calculate a.
-6, 1
Suppose -m = -5*x + 190, 0*m = -m + 4*x - 191. Let l = -193 - m. Factor -1/4*h**2 - 4 + l*h.
-(h - 4)**2/4
Let o(b) be the first derivative of -b**8/448 - b**7/140 - b**6/160 - 14*b**2 + 10. Let d(r) be the second derivative of o(r). Find k such that d(k) = 0.
-1, 0
Factor -12*s - 4*s**3 - 16*s**2 - 2 + s + 0*s**2 - 3*s**3.
-(s + 1)**2*(7*s + 2)
Let s(c) be the second derivative of -c**4/72 + 43*c**3/6 - 5547*c**2/4 + 764*c. Find g, given that s(g) = 0.
129
Let d(h) = h**3 + 10*h - 6 + 6*h**2 - 9*h - 2*h. Let i be d(-6). Factor i*y**5 + 3*y**5 - y - y - y - 6*y**4 + 6