 0*t**2 - 1/24*t**4 + 0*t**j + 3*t + 3/80*t**5. Solve u(n) = 0 for n.
0, 1, 2
Let x be (0/2)/((-3)/(57/(-38))). Let r(q) be the third derivative of 0*q**4 + 0*q**3 + 0 - 1/105*q**5 + x*q + 13*q**2 + 1/420*q**6. Factor r(i).
2*i**2*(i - 2)/7
Let b(m) = -m. Let q be b(-3). Determine u so that 9*u**2 + u**4 - q*u + 5*u**3 + 7*u + 3*u + 2 = 0.
-2, -1
Let k(x) = -x**2 - 4*x + 7. Let c be k(-5). Factor -v**3 + v**5 + 5*v**2 - 9*v**2 + 2*v**c + 2*v**4.
v**2*(v - 1)*(v + 1)*(v + 2)
Let p(y) be the first derivative of 2*y**3/15 + y**2 + 12*y/5 - 98. What is z in p(z) = 0?
-3, -2
Let z(g) be the second derivative of g**4/66 + 14*g**3/33 + 45*g**2/11 - 31*g + 3. Solve z(v) = 0 for v.
-9, -5
Let f(l) = l**3 + 8*l**2 + 7*l + 2. Let m be f(-7). Let u be 3/(-6) + 1/(2/m). Factor -u*k - 1/4*k**2 + 7/4*k**5 - 19/4*k**4 + 15/4*k**3 + 0.
k*(k - 1)**3*(7*k + 2)/4
Let x(t) = -3*t - 2. Let d be x(-3). Let r be (5 - (-134)/(-28))*d/6. Factor -r + 0*f + 1/4*f**2.
(f - 1)*(f + 1)/4
Let o be (-8)/12*1*1/(-2). Let r(x) be the second derivative of o*x**3 - 4*x + 3/10*x**5 + 0*x**2 + 1/15*x**6 + 1/2*x**4 + 0. Let r(u) = 0. Calculate u.
-1, 0
Let a(t) be the third derivative of -t**6/180 - 4*t**5/45 - 19*t**4/36 - 4*t**3/3 - 85*t**2. Suppose a(n) = 0. Calculate n.
-4, -3, -1
Let r be (-3)/5 - (9 + (-882)/45). Let w(z) be the first derivative of -2/15*z**3 + 8/5*z**2 - 32/5*z + r. Find l, given that w(l) = 0.
4
Let d(n) be the first derivative of 1/24*n**3 - 25 + 0*n**2 - 1/2*n. Factor d(s).
(s - 2)*(s + 2)/8
Let c be (-69)/(-46) - (-1 - 14/(-6)). Let s(f) be the third derivative of 0 + 0*f + 1/30*f**5 + c*f**4 + 0*f**3 + 6*f**2. What is x in s(x) = 0?
-2, 0
Let j(i) be the third derivative of -i**9/241920 - i**8/16128 - i**7/3360 - i**5/4 + 17*i**2. Let g(v) be the third derivative of j(v). What is x in g(x) = 0?
-3, -2, 0
Let q be (-1 - 15/(-3)) + (220/36 - 9). What is g in 34/9*g**2 + 0 - q*g**3 - 4/3*g = 0?
0, 2/5, 3
Let k(z) be the first derivative of -z**6/15 - 8*z**5/25 - 3*z**4/10 + 160. Factor k(r).
-2*r**3*(r + 1)*(r + 3)/5
Factor 0 + 16/11*o**2 + 2/11*o**3 + 14/11*o.
2*o*(o + 1)*(o + 7)/11
Let m(t) = 10*t**3 + 69*t**2 + 27*t + 4. Let c(d) = 8*d**3 + 68*d**2 + 25*d + 4. Let f(y) = -3*c(y) + 4*m(y). Factor f(l).
(l + 4)*(4*l + 1)**2
Let o(s) be the third derivative of -s**6/900 + 7*s**5/225 + s**4/45 - 56*s**3/45 + 278*s**2. Determine m, given that o(m) = 0.
-2, 2, 14
Let z = 97 + -42. Let p = z + -109/2. Find g, given that 0 - g - p*g**2 = 0.
-2, 0
Let j(h) be the second derivative of 1/60*h**4 + 0*h**2 + 0 + h + 0*h**3 + 1/100*h**5. Find i such that j(i) = 0.
-1, 0
Let u = 17575 - 17572. Determine a so that 1 + 15/7*a + 9/7*a**2 + 1/7*a**u = 0.
-7, -1
Let o be (-6)/(-3) + 4/1. Let c be (2/(-8))/(o/(-72)). Solve -36*w + 8*w**2 + 19 - 3*w**c + 5 + 13*w**2 - 3*w**2 = 0.
2
Suppose -24 = 6*x - 144. Let p = 22 - x. Solve 2/7*a**p - 4/7*a + 0 = 0.
0, 2
Let t(u) be the first derivative of 0*u + 1/12*u**3 + 0*u**2 - 9 - 1/4*u**4. Factor t(g).
-g**2*(4*g - 1)/4
Let z(p) be the second derivative of -p**7/2520 + p**5/120 - 7*p**4/12 + p. Let o(h) be the third derivative of z(h). Factor o(t).
-(t - 1)*(t + 1)
Let m = 1387 - 20804/15. Let r(g) be the third derivative of 4/3*g**3 + m*g**6 - 1/10*g**5 + 0 - 1/3*g**4 - 1/105*g**7 + 0*g - 3*g**2. Factor r(q).
-2*(q - 2)**2*(q - 1)*(q + 1)
Let c = 26813 + -26811. Factor 8/3*r + 2/15*r**c + 40/3.
2*(r + 10)**2/15
Solve -23*k + 58*k - 34*k**2 - 3*k**3 + k**3 + 0*k + k**3 = 0 for k.
-35, 0, 1
Let c(a) be the third derivative of -5/108*a**4 + 0*a + 25/54*a**3 + 11*a**2 + 0 + 1/540*a**5. Factor c(s).
(s - 5)**2/9
Find g such that 3*g**4 - 4*g**5 - 2*g**3 + 0*g**4 + 3*g**5 = 0.
0, 1, 2
Let v(k) be the first derivative of -k**4/20 + 3*k**3/5 - 108*k/5 + 55. Solve v(f) = 0.
-3, 6
What is l in 3/4*l**2 - 93/2 - 87/4*l = 0?
-2, 31
Let -1/3*p**2 - 11/3*p - 10/3 = 0. Calculate p.
-10, -1
Let k(i) be the third derivative of 5*i**2 + 0*i - 1/38*i**4 + 0 - 3/19*i**3 - 1/570*i**5. Find u, given that k(u) = 0.
-3
Suppose -9*t = -12 - 6. Let g = 3 - 1. What is b in 4*b**2 - t*b**3 - g*b**2 + 0*b**2 = 0?
0, 1
Let b(a) be the third derivative of a**5/330 + 13*a**4/66 + 25*a**3/33 - 2*a**2 - 185. Factor b(p).
2*(p + 1)*(p + 25)/11
Factor -5*s**3 + 1584*s**2 - 126*s - 1509*s**2 - 4*s.
-5*s*(s - 13)*(s - 2)
Let q(x) be the second derivative of 2/5*x**5 + 0 + 1/15*x**6 + x**2 + 16*x + 4/3*x**3 + x**4. Factor q(b).
2*(b + 1)**4
Let z = -42 - -25. Let w(p) = 29*p**2 + 41*p - 5. Let a(q) = -10*q**2 - 14*q + 2. Let i(y) = z*a(y) - 6*w(y). Solve i(f) = 0.
-1
Let d(r) be the first derivative of 0*r**2 + 0*r**3 - 1/6*r**6 - 1/2*r**4 + 0*r - 4 - 3/5*r**5. Factor d(l).
-l**3*(l + 1)*(l + 2)
Suppose 8*y - 3*y = 10. Factor -45*r - 3 + 12*r**y - 6 - 3.
3*(r - 4)*(4*r + 1)
Let b(a) be the second derivative of -a**6/6 + 2*a**5 + 175*a**4/3 - 1000*a**3 - 117*a + 2. What is z in b(z) = 0?
-12, 0, 10
Determine s so that 64/5 - 1/5*s**4 - 36/5*s**2 - 16/5*s - 11/5*s**3 = 0.
-4, 1
Let u(g) be the second derivative of g**6/10 + 6*g**5/5 + 21*g**4/4 + 9*g**3 + 70*g. Find o, given that u(o) = 0.
-3, -2, 0
Let w be (-86)/559 + 19/39. Let d = -2/35 + 76/105. Factor 1/3*x**5 + d*x**2 - w*x**3 + 0 - 2/3*x**4 + 0*x.
x**2*(x - 2)*(x - 1)*(x + 1)/3
Suppose 56/5 - 2/5*k**2 - 24/5*k = 0. What is k?
-14, 2
Let h(c) be the second derivative of c**5/90 - 4*c**4/27 + 7*c**3/9 - 2*c**2 - 384*c. Suppose h(f) = 0. What is f?
2, 3
Let a(y) = -26*y**2 + 114*y - 36. Let i(r) = 27*r**2 - 116*r + 38. Let z(g) = -3*a(g) - 4*i(g). Solve z(h) = 0 for h.
2/5, 11/3
Let b(v) be the second derivative of -v**6/15 + 2*v**5/5 - v**4/2 - 4*v**3/3 + 4*v**2 + 48*v. Factor b(w).
-2*(w - 2)**2*(w - 1)*(w + 1)
Let z(v) = v**4 + 23*v**3 - 65*v**2 + 42*v - 16. Let x(s) = 4*s**4 + 68*s**3 - 196*s**2 + 124*s - 48. Let q(m) = -5*x(m) + 16*z(m). What is r in q(r) = 0?
1, 4
Let c = 49 + -44. Factor 14*l**5 + 6*l**c - 48*l**4 + 40*l**2 - 36*l + 16 - 8 + 16*l**3.
4*(l - 1)**3*(l + 1)*(5*l - 2)
Let v(g) be the first derivative of -g**7/105 - g**6/210 + g**5/30 + g**4/42 - 4*g**2 + 27. Let o(m) be the second derivative of v(m). Solve o(p) = 0 for p.
-1, -2/7, 0, 1
Let p be 3/(-4*12/(-80)). Solve p*k**2 + 4*k - 17*k**2 + 8 - 4*k**3 + 4 = 0 for k.
-3, -1, 1
Suppose 115*c + 27*c**2 - 77*c**2 - 50 + 44*c**3 - 59*c**3 = 0. What is c?
-5, 2/3, 1
Solve j**2 + 0*j**3 + 0 + 6/7*j - 1/7*j**4 = 0.
-2, -1, 0, 3
Suppose 0 = -5*h + 5*y - y + 23, 2*y - 6 = 0. Let t = -5 + h. Determine r so that 3*r**t + 8*r**3 - 8*r**3 - 2*r**3 - r**4 = 0.
-3, 0, 1
Suppose 0*p**3 + 1/7*p - 2/7*p**2 + 0 + 2/7*p**4 - 1/7*p**5 = 0. Calculate p.
-1, 0, 1
Let r(a) be the first derivative of 3*a**5/5 + 6*a**4 - 80. Factor r(t).
3*t**3*(t + 8)
Let d(v) be the third derivative of v**7/1575 - 31*v**6/300 + 47*v**5/10 + 2209*v**4/180 - 2*v**2 - 358*v. Find j such that d(j) = 0.
-1, 0, 47
Find y such that 141*y - 36*y + 5*y**3 + 10*y**3 - 4*y**2 + 179*y**2 - 55 = 0.
-11, -1, 1/3
Let y(k) be the third derivative of 1/30*k**6 - 1/35*k**7 + 0*k**3 + 0*k**5 + 0*k**4 + 0*k + 15*k**2 + 0 + 1/168*k**8. Factor y(s).
2*s**3*(s - 2)*(s - 1)
Let z(o) be the third derivative of -6*o**2 + 0*o**3 + 0 + 2/45*o**5 + 0*o + 1/36*o**4 + 1/60*o**6. Factor z(a).
2*a*(a + 1)*(3*a + 1)/3
Suppose -35*l = -40*l + 275. Suppose 46 - l = -3*u. Let -2/7*w**2 + 2/7 - 2/7*w**u + 2/7*w = 0. What is w?
-1, 1
Let y = 4898 + -4896. Find l such that -3/2 + 15/4*l**3 - 27/4*l**y + 21/4*l - 3/4*l**4 = 0.
1, 2
Factor 392/3 + 2/3*y**2 + 394/3*y.
2*(y + 1)*(y + 196)/3
Let s = -878/11 - -80. Let m = -217 - -2392/11. Factor 1/11*h**3 - m*h - 1/11*h**4 + s + 3/11*h**2.
-(h - 1)**3*(h + 2)/11
Let g(p) = 2*p**2 + 85 - p - p**3 - p**2 - 84. Let h(o) = 3*o**3 - 5*o**2 + 20*o - 4. Let u(r) = -40*g(r) - 5*h(r). Factor u(q).
5*(q - 2)*(q + 1)*(5*q + 2)
Let r = -46 + 63. Suppose -9 + r = 2*j. Suppose 0*p**2 + 0*p - 1/2*p**5 + 0*p**3 + 0 + 0*p**j = 0. What is p?
0
Suppose 25*z = -20 + 20. Let b(o) be the first derivative of 1/3*o**3 + 0*o + 1/8*o**4 + z*o**2 - 8. Find r, given that b(r) = 0.
-2, 0
Let l = 51 - 30. Let o = l - 15. Factor 4*f**4 + 9*f**5 - 21*f - 5*f**2 - o + 20*f**4 + 12*f**3 - 13*f**2.
3*(f - 1)*(f + 1)**3*(3*f + 2)
Let c be (-6*1/(-12))/(1/4). Factor 2*d + c*d**2 - 2 + 0 + 2.
2*d*(d + 1)
Let f =