*3 + 450/11 - 42/11*s**2 = 0. What is s?
-5, 3
Let r(q) = -2*q + 28. Let w be r(12). Suppose -8*f + w*f = -8. Solve 12 + 4*a + a**2 - 16*a + 0 + f*a**2 = 0.
2
Factor -1/3*v**3 - 5/3 - 7/3*v**2 - 11/3*v.
-(v + 1)**2*(v + 5)/3
Suppose 45*f + 60 = 150. Find g, given that -25/2 + 5*g - 1/2*g**f = 0.
5
Solve -36/5 + 3/5*u**4 + 12/5*u**3 - 3/5*u**2 - 48/5*u = 0 for u.
-3, -2, -1, 2
Suppose 4*q = q. Let d be (0 - q)*14/14. Find h such that -4*h**3 + d*h**3 + 8*h**2 + h**3 + 7*h**3 - 4*h**4 = 0.
-1, 0, 2
Suppose 0 = -3*k + 5*k - 2*f - 14, 4*f = -12. Suppose -3*d**k + 6*d**3 - 4 + 2 - 6*d + 5 = 0. Calculate d.
-1, 1
Let d = 31 + -6. Let x = -23 + d. Factor -6 - 4*w - 2/3*w**x.
-2*(w + 3)**2/3
Factor -8*t**5 + 5*t**5 - 2 + 5*t - 2*t**5 + 2 - 10*t**4 + 10*t**2.
-5*t*(t - 1)*(t + 1)**3
Let t = 217/5 - 2337/55. Factor -10/11*q**2 + t*q**3 + 1/11*q**5 - 1/11 + 5/11*q - 5/11*q**4.
(q - 1)**5/11
Suppose -4*w + 26*s - 29*s = 15, -s - 5 = -4*w. Let q(o) be the second derivative of 0*o**4 - 7*o + w - 1/20*o**5 - o**2 + 1/2*o**3. Factor q(x).
-(x - 1)**2*(x + 2)
Let i(t) be the third derivative of t**6/60 - 41*t**5/35 + 171*t**4/7 + 648*t**3/7 + 285*t**2. Find y, given that i(y) = 0.
-6/7, 18
Let l(c) = -c**3 + 29*c**2 - 62*c + 228. Let i be l(27). Factor -9/2*o**3 - 30*o - i - 21*o**2.
-3*(o + 2)**2*(3*o + 2)/2
Let k be (252/(-129) - -2)*298/16. Let d = -5/43 + k. Let d*v - 3/4*v**3 + 3/2*v**4 - 3/2*v**2 + 0 = 0. What is v?
-1, 0, 1/2, 1
Let s be 1352/117 + (-19 - -19)/((-6)/2). Find c, given that 2*c**3 + 32/9 + 32/3*c**2 + s*c = 0.
-4, -2/3
Let k(h) be the second derivative of -h**6/600 + h**5/50 + 11*h**3/6 + 12*h. Let u(i) be the second derivative of k(i). Determine o, given that u(o) = 0.
0, 4
Let c be (-162)/24*2*((-96)/(-30))/(-8). Factor -c*f**2 - 6/5 - 3/5*f**4 + 3*f**3 + 21/5*f.
-3*(f - 2)*(f - 1)**3/5
Let i(j) = 10*j**2 - 10*j + 4. Let d(q) = -q**2 + 1. Let f(p) = 8*d(p) + i(p). Factor f(h).
2*(h - 3)*(h - 2)
Let n be 2/12*-4 + (-18382)/147. Let f = n - -127. Factor -9/7*l**5 - 9/7*l**3 + 6/7*l - f*l**2 + 3*l**4 + 0.
-3*l*(l - 1)**3*(3*l + 2)/7
Let v(u) be the first derivative of 5*u**4/22 + 8*u**3/3 + 67*u**2/11 + 56*u/11 + 376. Factor v(q).
2*(q + 1)*(q + 7)*(5*q + 4)/11
Let j(z) be the third derivative of -z**8/16128 - 5*z**7/4032 + 59*z**5/60 + 2*z**2 - 3. Let t(d) be the third derivative of j(d). What is x in t(x) = 0?
-5, 0
Let f = -33058 - -33061. Factor 0 - 8/7*c**2 - 8/7*c + 2/7*c**4 + 2/7*c**f.
2*c*(c - 2)*(c + 1)*(c + 2)/7
Let c(x) = -x + 3. Let t be c(0). Let w = 14127 + -98881/7. Factor 4/7 + 4/7*m**2 + 2/7*m**5 - 10/7*m - w*m**4 + 8/7*m**t.
2*(m - 2)*(m - 1)**3*(m + 1)/7
Let h(l) be the third derivative of -l**5/15 - l**4 + l**2 + 29*l. Determine k so that h(k) = 0.
-6, 0
Let a(i) be the first derivative of -i**4/2 + i**2 - 2. Factor a(q).
-2*q*(q - 1)*(q + 1)
Let l(q) be the second derivative of -5*q**7/14 - 7*q**6/6 + q**5/2 + 10*q**4/3 + 2*q + 68. Solve l(k) = 0 for k.
-2, -4/3, 0, 1
Let j(h) be the second derivative of -5*h**4/12 + 5*h**3/2 + 25*h**2 - 2*h - 573. Factor j(g).
-5*(g - 5)*(g + 2)
Let a(y) = -59*y - 293. Let q be a(-5). Determine s so that 0*s - 8/5 + 2/5*s**q = 0.
-2, 2
Suppose -y = -4 - 1. Suppose -5 - 3 = -4*h + y*p, -10 = -5*h - 4*p. Let 2/3*r + 4/9 - 2/9*r**3 + 0*r**h = 0. Calculate r.
-1, 2
Let c(h) be the second derivative of -1/12*h**2 + 0 - 1/18*h**3 + 6*h - 1/72*h**4. Factor c(z).
-(z + 1)**2/6
Let n = 48 - 36. Factor -c**2 + 0*c**2 + 4*c**2 + n + 11*c + c.
3*(c + 2)**2
Factor 1404/7*k**2 - 1458/7*k**4 - 3888/7*k**3 + 6/7 - 160/7*k.
-2*(k + 3)*(9*k - 1)**3/7
Let x(l) be the first derivative of 48 + 0*l - 1/13*l**2 + 2/65*l**5 - 2/39*l**3 + 1/26*l**4. Factor x(d).
2*d*(d - 1)*(d + 1)**2/13
Let i = -11985 + 59928/5. Suppose 0*p**3 + 9/5*p**2 - 6/5*p - i*p**4 + 0 = 0. What is p?
-2, 0, 1
Let y(m) be the third derivative of -5*m**8/336 - m**7/42 + 3*m**6/8 + m**5/12 - 25*m**4/6 + 10*m**3 + 141*m**2. Find k, given that y(k) = 0.
-3, -2, 1, 2
Let b = 1126 - 1126. Find o such that 0*o + 0*o**3 - 2/17*o**5 - 2/17*o**4 + 0*o**2 + b = 0.
-1, 0
Let h(r) = -7*r**2 + 26*r - 79. Let q(v) = -8*v**2 + 24*v - 82. Let f(x) = 6*h(x) - 5*q(x). Factor f(m).
-2*(m - 16)*(m - 2)
Let w(v) = 7*v - 239. Let b be w(35). Let y(i) be the third derivative of 0*i + i**3 + 5/8*i**4 + 1/40*i**b + 1/5*i**5 + 0 - 6*i**2. Find k such that y(k) = 0.
-2, -1
Suppose 3 = 5*v + f - 6, -12 = -5*v + 2*f. Suppose -p = -2*d + 3*p - 4, 2*d - v*p = 0. Solve -22/3*t**4 + 22/3*t**d - 20/3*t**3 + 8*t**5 - 4/3*t + 0 = 0 for t.
-1, 0, 1/4, 2/3, 1
Let m(c) be the third derivative of -c**9/100800 - c**8/33600 - 7*c**5/15 - 15*c**2. Let w(h) be the third derivative of m(h). Find b, given that w(b) = 0.
-1, 0
Let c(r) be the second derivative of -r**4/66 + 12*r**3/11 - 324*r**2/11 + 84*r. Solve c(t) = 0.
18
Suppose -5*h = -12*f - 12, -1 = 2*h + f - 0. Factor h*m - 4/3*m**3 - 2/3*m**2 - 2/3*m**4 + 0.
-2*m**2*(m + 1)**2/3
Suppose -84*s + 41 = -127. Solve 1/5*d**4 + 0 - 4/5*d**s + 4/5*d - 1/5*d**3 = 0.
-2, 0, 1, 2
Let k = -10324/3 - -3307. Let y = -133 - k. What is r in 2/3*r - y*r**2 - 2/3*r**3 + 4/3 = 0?
-2, -1, 1
Suppose -9/4*t - 1/4*t**2 - 7/2 = 0. What is t?
-7, -2
Let y(h) be the first derivative of -h**6/120 - h**5/20 + h**4 - 2*h**3/3 + 10. Let a(v) be the third derivative of y(v). Suppose a(b) = 0. What is b?
-4, 2
Let q = 187 - 182. Let h(p) be the second derivative of 0 - 1/10*p**q - 4/3*p**3 - 2/3*p**4 + 0*p**2 - p. Determine i so that h(i) = 0.
-2, 0
Factor 2*g**3 - 6*g**3 + 9*g**3 + 3*g**4 - 13*g - g**5 - 3*g**2 + 9*g.
-g*(g - 4)*(g - 1)*(g + 1)**2
Let g be -9 + 6 - 103*-1. Let o = -97 + g. Factor -2/5 + d**5 - 2*d**2 - 9/5*d + 4/5*d**o + 12/5*d**4.
(d - 1)*(d + 1)**3*(5*d + 2)/5
Let m = 9275/11 + -843. Factor 48/11*v - 2/11*v**4 - 12/11*v**3 - m*v**2 - 32/11.
-2*(v - 1)**2*(v + 4)**2/11
Suppose -3 = 1892*n - 1893*n. Let d(x) be the first derivative of -3/5*x**5 - 1/4*x**4 + n*x**3 - 3/2*x**2 + 4 - 2*x. Suppose d(v) = 0. What is v?
-2, -1/3, 1
Determine t so that 12*t**3 - 8*t**2 - 13 - 3012*t**4 + 3016*t**4 - 19 - 48*t = 0.
-2, -1, 2
Let p be ((-12)/(-2))/(1 + (-80)/82). Let a = p + -244. Find v, given that -6*v**4 - 13/3*v**3 + 2/3*v + 0 + 7/3*v**a = 0.
-1, -2/9, 0, 1/2
Let a(p) be the third derivative of p**6/480 + p**5/240 - 5*p**4/96 + p**3/8 - 374*p**2. Let a(w) = 0. What is w?
-3, 1
Let j(b) = -35*b**3 + b**2 + b + 1. Let u be j(-1). Let h be (1/(-2))/((-6)/u). Factor 54 - 2*m**2 + 3*m**2 - h*m + 0*m**2 - 52.
(m - 2)*(m - 1)
Let u(p) be the first derivative of -14*p**6/3 + 32*p**5 - 65*p**4 + 80*p**3/3 + 24*p**2 + 50. Solve u(i) = 0 for i.
-2/7, 0, 1, 2, 3
Let r = -744 - -748. Let l(g) be the third derivative of -r*g**2 - 2/525*g**7 - 1/75*g**6 + 4/75*g**5 + 0 + 4/15*g**4 + 0*g + 0*g**3. Solve l(b) = 0.
-2, 0, 2
Suppose -5*x - 3*r = -35, x - 2*r - 10 = -4*x. Suppose u + 15 = x*d, d + u = -0*u. Factor 66 + 2*w**2 + 2*w - 66 - 2*w**d - 2*w**4.
-2*w*(w - 1)*(w + 1)**2
Let j = -5 + 7. Factor -26*o**5 + 6*o**j + 23*o**5 + 14*o**3 - 5*o**3.
-3*o**2*(o - 2)*(o + 1)**2
Find a such that -2/7*a**3 + 0 - 2/7*a**4 + 24/7*a + 16/7*a**2 = 0.
-2, 0, 3
Let h(m) be the third derivative of -m**6/630 + m**5/105 - m**4/42 - 5*m**3/6 - 19*m**2. Let t(u) be the first derivative of h(u). Let t(k) = 0. What is k?
1
Let k(z) be the third derivative of -z**8/336 + z**7/30 - z**6/8 + 3*z**5/20 - 6*z**2 - 1. Find j, given that k(j) = 0.
0, 1, 3
Factor 8/5 - 4/5*i**2 + 4/5*i.
-4*(i - 2)*(i + 1)/5
Solve -2*t**3 + 10/7*t**4 + 16/7*t - 2/7*t**5 - 2/7*t**2 - 8/7 = 0.
-1, 1, 2
Factor -760/7*i + 36100/7 + 4/7*i**2.
4*(i - 95)**2/7
Let q(t) = -5*t**2 + 7*t - 13. Let d(j) = 2*j**2 - 3*j + 6. Let g(f) = -7*d(f) - 3*q(f). Let c be g(-2). Factor -c + 19*x - 3 - x**3 - 7*x + 5*x**3 - 12*x**2.
4*(x - 1)**3
Factor 12*u**3 + 121*u**2 + 199*u**2 + 1 + 2 - 108*u - 3.
4*u*(u + 27)*(3*u - 1)
Factor 5 + 2*k - 154*k**2 - 14*k + 150*k**2 + 11.
-4*(k - 1)*(k + 4)
Let y(d) be the first derivative of d**9/12096 + d**8/1120 + d**7/280 + d**6/180 - 8*d**3/3 - 8. Let m(f) be the third derivative of y(f). Factor m(q).
q**2*(q + 2)**3/4
Let u(b) be the second derivative of 1/330*b**5 + 0*b**3 + 3/2*b**2 + 0*b**4 - 5*b + 0 + 1/660*b**6. Let t(g) be the first derivative of u(g). Factor t(p).
2*p**2*(p 