**s + 0 + 2/11*n**3 = 0. Calculate n.
-1, 0
Let l(v) = v + 1. Let r be l(2). What is t in -2847*t**5 - r*t**4 + 2848*t**5 + 0*t**4 - 5*t**2 - 9*t**3 + 0*t**4 = 0?
-1, 0, 5
Let d(x) be the third derivative of x**8/560 + x**7/350 - x**6/100 + 19*x**2 + 2. Factor d(y).
3*y**3*(y - 1)*(y + 2)/5
Let u(v) be the first derivative of -v**7/420 - v**6/36 - v**5/15 + 25*v**3/3 - 5. Let y(t) be the third derivative of u(t). Find f such that y(f) = 0.
-4, -1, 0
Let b be 42/12*(-12)/(-140)*5. Factor -5/2*s**3 + 0 - b*s**2 + s.
-s*(s + 1)*(5*s - 2)/2
Let z(m) be the second derivative of m**4/12 + m**2/2 + 5*m. Let p(o) = -2*o**2 + o - 1. Let w(q) = 3*p(q) + 3*z(q). Solve w(r) = 0.
0, 1
Let v = -39/401 - -50721/2005. Factor v*j + 2/5*j**3 + 98/5 + 6*j**2.
2*(j + 1)*(j + 7)**2/5
Let r(w) be the first derivative of -6*w**6 + 0*w**2 + 6 - 4*w**4 + 0*w + 48/5*w**5 + 0*w**3. Factor r(u).
-4*u**3*(3*u - 2)**2
Let o(r) = 3*r**2 - r - 1. Let z(v) = v**2 - v + 1. Suppose 0 = 11*y - 6*y + 5. Let g(t) = y*o(t) + z(t). Suppose g(d) = 0. What is d?
-1, 1
Let l(i) be the first derivative of -i**7/36 - i**6/16 - i**5/36 + 10*i**2 - 8. Let x(y) be the second derivative of l(y). Suppose x(j) = 0. Calculate j.
-1, -2/7, 0
Let i(y) be the third derivative of 11*y**2 + 3/10*y**3 - 1/100*y**5 + 1/20*y**4 + 0*y + 0. Factor i(p).
-3*(p - 3)*(p + 1)/5
Let i(y) be the second derivative of -1/90*y**5 + 0*y**2 + 14*y + 0 - 1/135*y**6 + 0*y**3 + 1/27*y**4. Factor i(t).
-2*t**2*(t - 1)*(t + 2)/9
Let c(o) = -o**3 - 13*o**2 + 50*o + 36. Let d be c(-16). Let s(x) be the first derivative of 1/4*x**d - 2/3*x**3 + 0*x + 1/2*x**2 + 6. Factor s(t).
t*(t - 1)**2
Let a(s) be the third derivative of 0*s + 1/6*s**5 + 0*s**7 + 0 - 5/336*s**8 + 0*s**3 + 7*s**2 + 0*s**4 + 1/8*s**6. Factor a(k).
-5*k**2*(k - 2)*(k + 1)**2
Let c(i) be the third derivative of 7/6*i**4 + 0 + 0*i - 1/30*i**6 + 2/15*i**5 + 8/3*i**3 - 3*i**2. Factor c(u).
-4*(u - 4)*(u + 1)**2
Let s(o) be the third derivative of 37*o**2 + 0 + 0*o**3 - 1/30*o**6 + 0*o + 7/6*o**4 + 2/5*o**5. Find b, given that s(b) = 0.
-1, 0, 7
Let a(y) be the second derivative of 0 + 1/4*y**5 + 4*y + 5/6*y**4 + 5/6*y**3 + 0*y**2. Suppose a(q) = 0. What is q?
-1, 0
Let v be 3 + -2 - (195 + 1)/(-4). Find w, given that 9*w - w**2 + 6*w**2 + 26*w + 0*w**2 + v = 0.
-5, -2
Let d(b) = b**3 - 7*b**2 - 55*b + 369. Let k be d(6). Factor 4/5*n**k - 12/5*n**4 + 0*n + 0*n**2 + 8/5*n**5 + 0.
4*n**3*(n - 1)*(2*n - 1)/5
Find b such that 2904*b**2 + 64 - 704*b + 14641/4*b**4 - 5324*b**3 = 0.
4/11
Let u(j) be the second derivative of j**7/42 - 4*j**6/15 + 4*j**5/5 + 16*j + 1. Factor u(w).
w**3*(w - 4)**2
Suppose -40 - 3*g**2 - 9*g**3 + 19 + 24 + 9*g = 0. Calculate g.
-1, -1/3, 1
Let x(b) be the third derivative of -b**6/60 + 13*b**5/120 - 11*b**4/48 + b**3/6 - 15*b**2 - 3. Suppose x(l) = 0. What is l?
1/4, 1, 2
Let z = -125/31 + 1437/341. Let 14/11*d**4 + 0 - 30/11*d**3 - 8/11*d + 26/11*d**2 - z*d**5 = 0. Calculate d.
0, 1, 4
Let s be -2 + (0 - 0) - (-19)/9. Let y(q) be the first derivative of 1/24*q**4 + 0*q + s*q**3 - 1/30*q**5 + 0*q**2 - 2. Factor y(g).
-g**2*(g - 2)*(g + 1)/6
Let g(o) be the first derivative of -17 + 0*o - o**5 - 5*o**4 - 20/3*o**3 + 0*o**2. Let g(r) = 0. Calculate r.
-2, 0
Let -62/9*a - 112/9*a**2 + 32/9*a**3 - 8/9 = 0. Calculate a.
-1/4, 4
Let a be 8/2*(-11)/8*-2. Suppose a = 2*i + 3. Factor 3/2*l - 7/2*l**2 - 1/2*l**i + 0 + 5/2*l**3.
-l*(l - 3)*(l - 1)**2/2
Let v(j) be the second derivative of j**4/6 + 120*j**3 + 32400*j**2 - 391*j - 1. Solve v(w) = 0.
-180
Suppose -8/5*j**3 - 2/5*j**5 + 8/5*j**4 + 0 + 0*j + 0*j**2 = 0. What is j?
0, 2
Suppose 60*t - 10*t**2 + 43 + 22 + 17*t**2 - 12*t**2 = 0. Calculate t.
-1, 13
Let j(t) be the first derivative of -17 + 0*t**2 + 1/2*t**6 + 0*t + 3/4*t**4 + 0*t**3 - 6/5*t**5. Find g such that j(g) = 0.
0, 1
Let c(g) be the third derivative of -1/140*g**5 + 1/490*g**7 - 11*g**2 + 0*g + 0*g**3 + 0 - 1/280*g**6 + 1/56*g**4. Factor c(s).
3*s*(s - 1)**2*(s + 1)/7
Let r(p) be the third derivative of p**8/280 + 19*p**7/525 + 13*p**6/100 + 29*p**5/150 + p**4/10 - 63*p**2 + 1. Let r(f) = 0. What is f?
-3, -2, -1, -1/3, 0
Let t be ((-48)/21)/((-88)/28). Factor -t - 2/11*n**2 - 10/11*n.
-2*(n + 1)*(n + 4)/11
Let w(t) = -t**4 - 58*t**3 - 131*t**2 + 90*t + 100. Let d(y) = y**4 + 29*y**3 + 65*y**2 - 45*y - 50. Let v(f) = -5*d(f) - 2*w(f). Factor v(j).
-(j - 1)*(j + 5)**2*(3*j + 2)
Let y(n) be the second derivative of -2/3*n**2 + 1/60*n**5 + 18*n + 0 - 2/9*n**3 + 1/36*n**4. Factor y(j).
(j - 2)*(j + 1)*(j + 2)/3
Let c(g) = -2*g**4 + 12*g**3 + 2*g**2 - 30*g - 12. Let t(w) = -w**3 + w**2 + w + 2. Let u(y) = -c(y) - 6*t(y). Factor u(n).
2*n*(n - 3)*(n - 2)*(n + 2)
Let y = 4765 - 114341/24. Let u(f) be the second derivative of -y*f**4 + f**2 - 2/3*f**3 - 7/40*f**5 + 2*f + 0. Let u(q) = 0. Calculate q.
-2, -1, 2/7
Suppose 10/3*h + 1/3*h**2 + 0 = 0. Calculate h.
-10, 0
Let -74*o**2 + 44*o**3 - 15*o + 4 - 121*o**4 + 107*o**2 - 29*o + 84*o**2 = 0. Calculate o.
-1, 2/11, 1
Suppose 4*t + 16 = 0, -4*x - 4*t + 5 - 13 = 0. Factor 4*q**x + 51*q**4 - 99*q**4 + 50*q**4 + 6*q**3.
2*q**2*(q + 1)*(q + 2)
Let x(k) be the third derivative of 5*k**8/336 - 4*k**7/21 + 25*k**6/24 - 19*k**5/6 + 35*k**4/6 - 20*k**3/3 - k**2 - 110*k. Let x(o) = 0. What is o?
1, 2
Factor -45*o - 1272 - 4*o**2 + 189*o - 24.
-4*(o - 18)**2
Let c(o) = -o + 28. Let x be c(10). Find m, given that 7*m - 12*m - x*m**2 - 3*m**3 - 24 - 31*m = 0.
-2
Let c(g) = -g**3 + g**2 + g. Let a(x) = -6*x**3 + 9*x**2 + 6*x - 6. Let i(w) = a(w) - 3*c(w). Factor i(f).
-3*(f - 2)*(f - 1)*(f + 1)
Let r(q) = q + 8. Suppose 4*a = a - 24. Let u be r(a). Find p, given that u + 0*p**2 - 2/7*p + 2/7*p**3 = 0.
-1, 0, 1
What is x in 128/3 - 32/3*x + 2/3*x**2 = 0?
8
Suppose 59 - 23 = 3*p. Suppose -22*y = -56 + p. What is m in -3/5*m + m**y - 1/5*m**3 - 9/5 = 0?
-1, 3
Let w(x) be the first derivative of x**6/18 + 7*x**5/15 + 7*x**4/6 + 8*x**3/9 - 576. Factor w(y).
y**2*(y + 1)*(y + 2)*(y + 4)/3
Let v = 1 - 1. Let j = 1841 - 1841. Solve -3/2*d**3 + 3/2*d + v + j*d**2 = 0 for d.
-1, 0, 1
Let g be (-189)/36 - (-3)/(-4). Let y = g - -9. Let -k**3 + 7*k**2 + 5*k**4 - 13*k**3 - 2*k - k**5 + 5*k**y = 0. What is k?
0, 1, 2
Let o = 451 + -449. Let -3/4*t**3 + 3/4*t + 1/2 - 1/2*t**o = 0. What is t?
-1, -2/3, 1
Let u(c) be the third derivative of -c**6/40 - 3*c**5/20 - c**4/4 - 110*c**2. Factor u(b).
-3*b*(b + 1)*(b + 2)
Let s = 98 - 100. Let f(v) = -4*v**2 + 2*v - 2. Let t(q) = q**2 + 1. Let d(g) = s*f(g) - 4*t(g). Solve d(j) = 0 for j.
0, 1
Factor -48*r**3 - 172800*r + 1/5*r**4 + 4320*r**2 + 2592000.
(r - 60)**4/5
Let i(h) be the third derivative of h**8/168 - h**7/35 + h**6/60 + h**5/10 - h**4/6 - 48*h**2. Factor i(a).
2*a*(a - 2)*(a - 1)**2*(a + 1)
Let y(i) be the first derivative of 0*i**4 + 0*i - 1/21*i**6 - 4/21*i**3 + 4/35*i**5 + 1/7*i**2 + 14. Find c, given that y(c) = 0.
-1, 0, 1
Let o(g) = 3*g + 18. Let c be o(-7). Let z(v) = v**4 + v**2 + 1. Let m(w) = 183*w**4 + 285*w**3 + 143*w**2 + 20*w + 3. Let s(x) = c*z(x) + m(x). Factor s(j).
5*j*(3*j + 2)**2*(4*j + 1)
Let x(c) be the first derivative of -c**6/6 + 7*c**4/4 + 2*c**3 - 171. Factor x(w).
-w**2*(w - 3)*(w + 1)*(w + 2)
Let a(g) be the third derivative of g**8/84 - 26*g**7/105 + 17*g**6/15 + 62*g**5/15 - 35*g**4/6 - 98*g**3/3 + g**2. Let a(n) = 0. What is n?
-1, 1, 7
Let n(v) = -13*v**4 + 34*v**2 + 59*v. Let o(h) = -6*h**4 + 19*h**2 + 29*h. Let z(t) = -4*n(t) + 10*o(t). Factor z(u).
-2*u*(u - 3)*(2*u + 3)**2
Let h = -13 + 15. Let i be ((-36)/(-42))/((-141)/84 + h). Factor -14/3*r - i*r**2 + 4/3.
-2*(r + 2)*(4*r - 1)/3
Find x such that -28*x + 16/3*x**2 - 1/3*x**3 + 48 = 0.
4, 6
Let k(u) be the first derivative of 9/2*u**4 + 0*u - 1/2*u**6 + 9/2*u**2 + 24 + 0*u**5 + 8*u**3. Find c such that k(c) = 0.
-1, 0, 3
Let k(y) be the third derivative of y**6/300 - y**5/25 + y**4/12 - 79*y**2. Solve k(i) = 0 for i.
0, 1, 5
Find m such that -5/4*m**3 + 3/4*m**4 + 1/4*m + 1/4*m**2 + 0 = 0.
-1/3, 0, 1
Find j such that -64/5*j**2 + 56/5*j**3 + 36/5*j + 4/5*j**5 - 8/5 - 24/5*j**4 = 0.
1, 2
Let s(q) be the first derivative of -q**6/48 + q**5/4 - 15*q**4/16 + 4*q**2 + 7. Let p(i) be the second derivative of s(i). Suppose p(m) = 0. What is m?
0, 3
Let q(k) be the first deriva