= 9*m(n) + 2*t(n). Factor p(b).
3*b**3*(b + 1)**2
Suppose 0 = 8*y - 11*y + 90. Let t be -5 - (-228)/y - (-4)/10. Suppose 0 + 0*u**4 + 2/3*u**t - 1/3*u**5 - 1/3*u + 0*u**2 = 0. What is u?
-1, 0, 1
Let x(h) = h**2 - 3*h + 7. Let q be x(2). Find a such that -785*a + 757*a - 41*a**3 + 60*a**2 + q*a**3 + 4*a**4 = 0.
0, 1, 7
Let x be (-6)/4*(0 - 2). Let v(w) be the first derivative of 1/8*w**6 + 1/8*w**2 + 1/2*w**3 - 1/2*w + x - 1/4*w**4 - 1/5*w**5. Determine c so that v(c) = 0.
-1, -2/3, 1
Suppose 29 = q + 25. Let y(c) be the third derivative of 0*c + 0 - 1/15*c**3 - 2*c**2 - 1/150*c**5 - 1/30*c**q. Solve y(m) = 0.
-1
Let z(b) be the second derivative of 1/60*b**4 - 1/150*b**6 + 6*b + 1/30*b**3 - 1/100*b**5 + 0 + 0*b**2. Factor z(d).
-d*(d - 1)*(d + 1)**2/5
Let c(j) be the second derivative of -3*j**5/20 - 3*j**4/4 - j**3 + 41*j - 2. Factor c(a).
-3*a*(a + 1)*(a + 2)
Factor 0*q + 40 - 15/2*q**2 + 5/4*q**3.
5*(q - 4)**2*(q + 2)/4
Suppose -1/4*m**4 - 6 - 9/4*m**3 - 11*m - 15/2*m**2 = 0. What is m?
-3, -2
Suppose 4*u = 4*b, -u - 4*b + 3*b + 6 = 0. Let o(a) = a**2 - 2*a - 3. Let f be o(u). Factor f - 2/3*p**2 - 2/3*p.
-2*p*(p + 1)/3
Suppose 18 = -13*n + 15*n. Factor 19 - 8 - 3*a**2 - 11 - n*a.
-3*a*(a + 3)
Let g(l) = l**3 - 22*l**2 - 8*l - 4. Let v(a) = 23*a**2 + 8*a + 5. Let k(f) = 5*g(f) + 4*v(f). Factor k(p).
p*(p - 4)*(5*p + 2)
Let k be -2*(-1)/(-18) + 1178/4446. Solve 0*g - k*g**2 + 0 = 0 for g.
0
Let i(b) be the third derivative of 5*b**2 + 0*b + 1/15*b**5 + 0*b**3 - 4/21*b**7 - 1/8*b**8 + 1/20*b**6 + 0*b**4 + 0. What is m in i(m) = 0?
-1, -2/7, 0, 1/3
Suppose 36*z + 59*z - 22716*z**4 + 22736*z**4 + 16 + 8 + 140*z**2 + 90*z**3 - z**5 = 0. What is z?
-1, 24
Let c(i) be the first derivative of -48*i**4 - 16*i**3 - 3*i**2/2 + 12. What is h in c(h) = 0?
-1/8, 0
Let n be (-10)/(-6) + 80/60. Determine x so that 12*x**2 + 0*x**3 + 8*x - 7*x**4 - 6*x**n + 177*x**5 - 174*x**5 = 0.
-1, -2/3, 0, 2
Factor -2/11*o**5 + 36000/11 + 970/11*o**2 - 15600/11*o + 282/11*o**3 - 18/11*o**4.
-2*(o - 5)**3*(o + 12)**2/11
Suppose 24*r + 2*r**4 + 33*r**2 + 3*r**4 + 288 - r**4 - 109*r**2 = 0. Calculate r.
-4, -2, 3
Let m = 998/23 + -4438/115. Find c, given that 98/5*c**4 - m + 252/5*c**3 - 174/5*c**2 - 152/5*c = 0.
-3, -2/7, 1
Suppose -3/2*o**2 + 81/2 - 39*o = 0. Calculate o.
-27, 1
Let c = 116 + -111. Let i(j) be the third derivative of 0*j + 0*j**3 + 0 + 3*j**2 - 1/36*j**4 + 1/90*j**c. Suppose i(n) = 0. What is n?
0, 1
Determine f so that 0*f + 0 + 0*f**2 + 2/5*f**3 = 0.
0
Suppose -3 = m - 6*r + 7*r, 0 = 4*m - 2*r + 30. Let h be 2 - (7 + m + 3) - -4. Factor 2/3*s**3 + 18*s + 6*s**h + 18.
2*(s + 3)**3/3
Let s be 1324/72 + (-9)/(243/6). Let x = s + -35/2. Find c such that -2/3*c**2 - 16/3*c - 8/3 - x*c**5 + 10/3*c**3 + 2/3*c**4 = 0.
-1, 2
Let c = 383 + -6893/18. Let q(r) be the first derivative of c*r**3 - 1/6*r + 0*r**2 - 3. Let q(a) = 0. What is a?
-1, 1
Suppose 5*m = 5*w - 5, -2*m - 2*w = -0*w - 2. Let p(c) be the second derivative of 1/210*c**6 + 0 - 1/140*c**5 + 0*c**2 + m*c**3 - 4*c + 0*c**4. Factor p(d).
d**3*(d - 1)/7
Let m(y) be the second derivative of y**5/20 + 5*y**4/6 + 31*y**3/6 + 15*y**2 - 5*y + 2. Determine z so that m(z) = 0.
-5, -3, -2
Let f be (-13)/26*-1*4. Factor -21*h**2 + 19*h**f + h**4 - 1 + 2.
(h - 1)**2*(h + 1)**2
Let m(z) be the first derivative of 13 + 1/6*z**3 + 3*z - 1/36*z**4 - 1/3*z**2. Let t(b) be the first derivative of m(b). Solve t(d) = 0.
1, 2
Let n = -1352/45 - -274/9. Solve -14/5*m**2 - 8/5*m + 0 + n*m**4 - 4/5*m**3 = 0 for m.
-1, 0, 4
Let x = 4297/6 - 716. Let l(i) be the first derivative of 1/10*i**5 - x*i**3 + 3 + 1/4*i**2 - 1/8*i**4 + 0*i. Factor l(f).
f*(f - 1)**2*(f + 1)/2
Let g(l) be the first derivative of -l**7/280 - l**6/120 - 29*l**3/3 + 15. Let o(m) be the third derivative of g(m). Let o(f) = 0. Calculate f.
-1, 0
Factor 1/2*r**3 - 19/2*r**2 - 96 + 56*r.
(r - 8)**2*(r - 3)/2
Let q(c) be the third derivative of c**7/15120 + c**6/1080 + c**5/180 + 5*c**4/8 - 21*c**2. Let z(d) be the second derivative of q(d). Solve z(o) = 0 for o.
-2
Suppose 268 = -9*a + 76*a. Let -2/3*k**2 + 2/3*k**a + 0*k - 2/3*k**5 + 2/3*k**3 + 0 = 0. What is k?
-1, 0, 1
Let k(x) = -13*x**2 - 301*x + 21. Let b(t) = -22*t**2 - 502*t + 36. Let n(q) = -7*b(q) + 12*k(q). Factor n(h).
-2*h*(h + 49)
Let v = 37 - 33. Factor 3*g + 18*g**2 + 7*g - v*g - 21*g**2.
-3*g*(g - 2)
Find h, given that 11*h**5 - 2*h - 9*h**2 - 7*h**5 + 0*h**5 - 2*h**3 + 15*h**4 - 6*h**4 = 0.
-2, -1, -1/4, 0, 1
Factor 4467*m**3 - 2222*m**3 - 6*m**2 - 9*m**2 - 2225*m**3 - 45*m - 10.
5*(m - 2)*(m + 1)*(4*m + 1)
Let m(b) be the third derivative of 5*b**8/3024 + b**7/105 + b**6/120 - 5*b**2. Factor m(y).
y**3*(y + 3)*(5*y + 3)/9
Let m(w) be the third derivative of -w**5/20 + w**4/4 + 88*w**2. Factor m(v).
-3*v*(v - 2)
What is x in 161312/11 + 2/11*x**2 + 1136/11*x = 0?
-284
Suppose x = 5*i - 2 - 27, x = -4. Suppose 0 = -4*o + 2*o - 10, -o + 16 = 3*a. Factor -6*n**3 - i*n**2 - 6*n**4 - 9*n**5 + a*n**5 + 3*n**2.
-2*n**2*(n + 1)**3
Let k(p) be the third derivative of 5*p**9/3024 + p**8/168 - p**6/36 - p**5/24 + 2*p**3 + 12*p**2. Let f(h) be the first derivative of k(h). Factor f(y).
5*y*(y - 1)*(y + 1)**3
Let o(x) be the second derivative of 1/36*x**4 + 0*x**2 + 7*x + 0 + 0*x**3. Find g, given that o(g) = 0.
0
Find r, given that 2*r**3 + 2*r**2 - 93*r + 182*r - 2*r**5 - 89*r - 2*r**4 = 0.
-1, 0, 1
Factor j**4 - 5*j**3 + 4*j**2 - 2*j**4 + 2*j**2 - 7*j**4 + 3*j**5.
j**2*(j - 3)*(j + 1)*(3*j - 2)
Let q(y) be the first derivative of -44 - 3/5*y + 3/10*y**2 + 1/5*y**3 - 3/20*y**4. Solve q(x) = 0 for x.
-1, 1
Let a = -2714 + 2714. Solve a + 0*q + 3/2*q**2 = 0.
0
Let m(s) be the third derivative of s**8/560 + s**7/28 + 5*s**6/24 + 9*s**3/2 - 13*s**2. Let n(a) be the first derivative of m(a). Factor n(q).
3*q**2*(q + 5)**2
Let d(u) = u**2 - 13*u - 12. Let r = 50 - 36. Let l be d(r). Factor a - 2*a**l + 2*a**4 - 2*a**3 - a + 2*a.
2*a*(a - 1)**2*(a + 1)
Let k(j) = j**5 + j**4. Let g(h) = -4*h**5 - 8*h**4 + 16*h**3 + 24*h**2 - 32*h. Let n(y) = -g(y) - 2*k(y). What is i in n(i) = 0?
-4, -2, 0, 1, 2
Let k be (-1)/2*(-120)/25. Let s = k - 26/15. Factor s*h + 0*h**2 - 2/3*h**3 + 0.
-2*h*(h - 1)*(h + 1)/3
Suppose -4*c - 5*p = 52, -2*c + 6*c - 2*p = -24. Let g be c - -12 - 68/18. Find s such that 2/9*s**2 + 0*s + 2/9*s**3 - g*s**5 + 0 - 2/9*s**4 = 0.
-1, 0, 1
Find n, given that 7/2*n**2 + 5/2*n**4 - 1/2*n**5 - 9/2*n**3 + 0 - n = 0.
0, 1, 2
Let g(l) be the second derivative of -l**7/42 + 34*l**6/15 - 289*l**5/5 - 368*l. Suppose g(y) = 0. Calculate y.
0, 34
Let l(c) be the first derivative of -c**6/4 - 12*c**5/5 - 33*c**4/4 - 14*c**3 - 51*c**2/4 - 6*c - 5. Factor l(p).
-3*(p + 1)**4*(p + 4)/2
Let v(r) = -26*r - 1558. Let s be v(-60). Factor 0 + 0*o - 4/7*o**3 - 4/7*o**s.
-4*o**2*(o + 1)/7
Let b(u) be the second derivative of u**5/110 + 32*u**4/33 + 1085*u**3/33 + 1922*u**2/11 - 121*u. Determine c so that b(c) = 0.
-31, -2
Let h(k) be the third derivative of 3/100*k**5 - 10*k**2 + 0*k - 1/100*k**6 + 0 + 0*k**4 + 1/1050*k**7 + 0*k**3. Let h(f) = 0. What is f?
0, 3
Let u = -24629/8 - -3079. Factor 3/8*y**4 - 3/4 - 9/8*y**3 + u*y**2 + 9/8*y.
3*(y - 2)*(y - 1)**2*(y + 1)/8
Let k(h) be the second derivative of h**5/20 + 40*h**4/3 + 2079*h**3/2 - 6561*h**2 + 626*h. Factor k(d).
(d - 2)*(d + 81)**2
Let j be (24/9)/(-4)*(-150)/20. Let o = -2 + 2. Factor 11*n**4 + o*n**5 - 6*n**j - 4*n**3 - n**4.
-2*n**3*(n - 1)*(3*n - 2)
Let v(o) be the second derivative of o**6/120 + 9*o**5/80 + 13*o**4/48 - 15*o**3/8 - 25*o**2/4 + 87*o. Let v(w) = 0. Calculate w.
-5, -1, 2
Let x(q) be the third derivative of -q**6/660 - 19*q**5/110 - 346*q**2. Find t, given that x(t) = 0.
-57, 0
Let i = -8591 + 146051/17. Find m, given that -i - 2/17*m**2 - 6/17*m = 0.
-2, -1
Let -85*w - 7*w**2 - 1397 - 5*w**3 + 1347 - 33*w**2 = 0. Calculate w.
-5, -2, -1
Suppose 3*p - 9 = 3*a, 10*a - 15 = 5*a - p. Let y(r) be the third derivative of 0*r**4 - 1/150*r**5 + 12*r**a + 0 + 0*r + 1/15*r**3. Factor y(j).
-2*(j - 1)*(j + 1)/5
Suppose 2*x - 16 = -154. Let j = x + 141/2. Find s such that 3*s**3 - 9/2*s**2 - 6*s + j*s**4 + 6 = 0.
-2, 1
Let c(d) be the first derivative of -10*d**2 - 16*d - 4/3*d**3 + 32. What is v in c(v) = 0?
-4, -1
What is t in 0 + 10/13*t**2 