 + 14*a**2 + 2*a**4 = 0. Calculate a.
0, 1, 3
Suppose 0*s - 23*s + 138 = 0. Let j(c) be the third derivative of -2/15*c**3 - 9*c**2 + 0*c - 1/12*c**4 + 0 - 2/75*c**5 - 1/300*c**s. What is k in j(k) = 0?
-2, -1
Let o be -12 - 392/(-12) - 18. Factor o + 1/3*m**2 + 3*m.
(m + 1)*(m + 8)/3
Let x(g) be the first derivative of 14 + 7/12*g + 1/4*g**2 - 1/36*g**3. Factor x(d).
-(d - 7)*(d + 1)/12
Let m(t) = -237*t + 2375. Let d be m(10). Factor d*a**3 + 0 - 15/4*a - 5/4*a**2.
5*a*(a - 1)*(4*a + 3)/4
Solve -3 + n**2 - 14 + 0 + 3 - 5*n + 0*n**2 = 0 for n.
-2, 7
Let t = -8 - 5. Let l = t + 16. What is w in -l*w - 3/4*w**2 - 3 = 0?
-2
Let 300/7 - 9*i - 3/7*i**2 = 0. What is i?
-25, 4
Let h(c) be the first derivative of -2*c**6/3 - 8*c**5/5 + c**4 + 8*c**3/3 + 130. Find b, given that h(b) = 0.
-2, -1, 0, 1
Let s(z) be the second derivative of -z**7/35 - 7*z**6/75 + 51*z**5/50 - 27*z**4/10 + 52*z**3/15 - 12*z**2/5 + z - 75. Find l such that s(l) = 0.
-6, 2/3, 1
Let c(l) = 27*l. Suppose -5*a + 5 = -0*a. Let z be c(a). Find r, given that 16*r**4 + 7*r**3 - 6*r + 3 - 3*r**4 + 11*r**4 - z*r**2 - r**3 = 0.
-1, -1/2, 1/4, 1
Let b(s) be the third derivative of 0 + s + 1/21*s**3 - 1/1470*s**7 - 2*s**2 + 1/280*s**6 - 1/420*s**5 - 1/56*s**4. Factor b(l).
-(l - 2)*(l - 1)**2*(l + 1)/7
Let r(d) = -3*d - 30. Let z be r(-12). Let q(p) be the third derivative of -7/8*p**4 - 7/20*p**5 + 7*p**2 + 0 + 0*p - p**3 - 1/20*p**z. Let q(o) = 0. What is o?
-2, -1, -1/2
Let i(z) = -3*z**3 - z**2 - z - 1. Let q(p) = -17*p**3 + 5*p**2 + 39*p + 27. Let r(s) = 10*i(s) - 2*q(s). Factor r(c).
4*(c - 8)*(c + 1)*(c + 2)
Let h = 166/165 - -18/55. Let q(j) be the first derivative of 8*j - h*j**3 + 2 - 2*j**2. Determine d, given that q(d) = 0.
-2, 1
Let z = 60 + -44. Let 18*r**2 - z + r - 14*r**2 - r = 0. Calculate r.
-2, 2
Let w = -9580 + 28742/3. Factor 0*n + w*n**2 - 2/3.
2*(n - 1)*(n + 1)/3
Let o(a) = -a**5 + 13*a**3 - 12*a**2. Let h(p) be the third derivative of p**6/20 - p**5/10 - 5*p**2. Let v(y) = -5*h(y) + 3*o(y). What is u in v(u) = 0?
-2, 0, 1
Let b = 2512 + -17580/7. Let y(h) = 2*h**2 - 4*h + 2. Let u be y(2). Determine j so that -b - 2/7*j + 2/7*j**u = 0.
-1, 2
Factor 129/2*g + 5547/4 + 3/4*g**2.
3*(g + 43)**2/4
Let f(v) be the second derivative of -3*v**5/10 - 67*v**4/6 - 85*v**3/3 - 21*v**2 + 3*v - 27. Find d such that f(d) = 0.
-21, -1, -1/3
Let z(w) be the third derivative of -10/3*w**4 + 1/12*w**5 + 160/3*w**3 + 0 + 0*w + 23*w**2. Solve z(g) = 0 for g.
8
Let f(i) be the second derivative of 0*i**2 + 5/42*i**4 + 33/140*i**5 + 8 + 8/147*i**7 - i + 1/42*i**3 + 4/21*i**6. Factor f(x).
x*(x + 1)**2*(4*x + 1)**2/7
Let r be 377/261 + (-2)/18. Factor -5/3*j**3 + 0 + 1/3*j**5 + 0*j**2 - r*j**4 + 0*j.
j**3*(j - 5)*(j + 1)/3
Let i(o) be the second derivative of 5*o**8/588 - 3*o**7/98 + 4*o**6/105 - 2*o**5/105 - 4*o**3/3 + 13*o. Let g(u) be the second derivative of i(u). Factor g(t).
4*t*(t - 1)*(5*t - 2)**2/7
Let u(o) = 15*o**3 + 30*o**2 + 21*o + 6. Let g(k) = -k**3 - k**2 + k + 1. Let l(x) = -12*g(x) - u(x). Determine q so that l(q) = 0.
-3, -2, -1
Let v = 36 + -33. Let i(t) = -t**3 - t**2 - 1. Let c(n) = 8*n**3 - 15*n**2 + 7*n + 9. Let k(g) = v*i(g) + c(g). Determine l so that k(l) = 0.
-2/5, 1, 3
Let u(k) be the second derivative of -2/21*k**7 - 2*k - 4/3*k**3 + 2/15*k**6 - 1/3*k**4 + 0*k**2 + 3/5*k**5 + 0. Suppose u(p) = 0. What is p?
-1, 0, 1, 2
Let i(y) be the first derivative of 25*y**6/48 + 61*y**5/8 + 39*y**4/32 - 87*y**3/8 - 27*y**2/4 + 256. Determine b so that i(b) = 0.
-12, -3/5, 0, 1
Suppose -198 = 46*h - 57*h. Factor -h*f - 14*f + 30*f - 4 + 2*f**3 + 4*f**2.
2*(f - 1)*(f + 1)*(f + 2)
Let y(b) be the second derivative of 0 - 2*b**2 - 7*b - 1/3*b**4 + 4/3*b**3. Suppose y(j) = 0. What is j?
1
Let f(l) be the first derivative of -3*l**5/5 - 15*l**4/4 - 3*l**3 + 27*l**2/2 + 74. Factor f(p).
-3*p*(p - 1)*(p + 3)**2
Let b(h) be the third derivative of 0*h**4 + 4*h**2 - 1/1785*h**7 + 0 + 0*h + 0*h**5 - 1/510*h**6 + 0*h**3. Solve b(l) = 0.
-2, 0
Determine c so that 3/4*c**5 + 0 - 3/2*c**4 - 9/4*c**3 + 3*c + 3*c**2 = 0.
-1, 0, 2
Let w(p) be the first derivative of 9 - 4/9*p**3 + 1/9*p**4 - 3*p + 2/3*p**2. Let v(l) be the first derivative of w(l). Determine n, given that v(n) = 0.
1
Let b be 0/(5 + -8) + (1 - 1). Let r(g) be the third derivative of 0 + 0*g + b*g**3 + 6*g**2 - 1/30*g**5 + 1/12*g**4. Factor r(p).
-2*p*(p - 1)
Suppose w = 2*w - 3. Suppose -2*c + 36 = c - 3*f, 4*c = -5*f + 3. Factor -3*i**2 + 1 - 2*i**2 - w*i + c*i**2.
(i - 1)*(2*i - 1)
Let m(n) be the second derivative of 1/3*n**7 + 0*n**2 + 5/8*n**4 - 13/20*n**5 - 1/4*n**6 + 8*n + 0 - 1/6*n**3. Let m(f) = 0. What is f?
-1, 0, 1/4, 2/7, 1
Let d(q) be the first derivative of q**4/5 + 8*q**3/15 - 2*q**2/5 - 8*q/5 + 283. Factor d(h).
4*(h - 1)*(h + 1)*(h + 2)/5
Let i(m) = -7*m**2 - 16*m + 3. Let r(a) = 16*a**2 + 30*a - 7. Let w(c) = -7*i(c) - 3*r(c). Factor w(l).
l*(l + 22)
Let n = 2562 - 2560. Determine p so that 0 + 3*p**n + 0*p - 3/2*p**3 = 0.
0, 2
Let d be (2/91)/((-24)/(-56)). Let y(r) be the second derivative of 0*r**3 - 1/13*r**2 + 3*r + d*r**4 + 0. Factor y(q).
2*(2*q - 1)*(2*q + 1)/13
Let j(m) = 9*m**2 + 1784*m + 158420. Let v(h) = -47*h**2 - 8922*h - 792100. Let z(c) = 11*j(c) + 2*v(c). Factor z(y).
5*(y + 178)**2
Let v be (-8)/(32/(-9)) + 1/(-4). Factor 2/9*i**v + 4/9 + 2/3*i.
2*(i + 1)*(i + 2)/9
Let q(n) be the first derivative of n**3/2 - 39*n**2 + 1014*n - 6. Let q(i) = 0. What is i?
26
Let x(j) = j**2 - 44. Let a be x(7). Let p(s) be the second derivative of 0*s**2 + 4/3*s**3 - 6/5*s**a - 1/3*s**4 + 0 + s. Find w such that p(w) = 0.
-2/3, 0, 1/2
Let i(b) be the second derivative of 7/48*b**4 - 1/3*b**3 - 2*b**2 - 1/80*b**5 + 0 + 24*b. Factor i(q).
-(q - 4)**2*(q + 1)/4
Let x be (2/1 - 8/(-12))*3. Find o such that 5*o - o - 604*o**3 + 6*o**2 - x*o**5 + 30*o**4 + 572*o**3 = 0.
-1/4, 0, 1, 2
Let 1/4*b**2 - 3/4 - 1/2*b = 0. Calculate b.
-1, 3
Let w be 55/1*2/5. Factor w*h**3 + 50*h**2 - 5*h**4 - 42*h**2 + 5*h**5 - 3*h - 2 + 23*h**4.
(h + 1)**4*(5*h - 2)
Factor 6/5*s**2 - 3/5*s**3 + 0 - 9/5*s**4 + 0*s.
-3*s**2*(s + 1)*(3*s - 2)/5
Let w(g) = g**3 - 5*g**2 + 15*g - 1. Let s be w(5). Suppose 0 = -75*f + s*f. Factor f + 3/7*c**3 + 0*c - 3/7*c**2.
3*c**2*(c - 1)/7
Let d(b) be the first derivative of -b**6/2340 + b**5/195 + 5*b**4/156 - 6*b**3 + 20. Let p(j) be the third derivative of d(j). Find r such that p(r) = 0.
-1, 5
Let k be (31288/(-16))/(11/(-2)). Let y = k + -355. Suppose y*j - 8/11 + 2/11*j**2 = 0. What is j?
-4, 1
What is g in 4/5*g**2 + 0 + 128/5*g = 0?
-32, 0
Factor 20/7*o + 24/7 + 4/7*o**2.
4*(o + 2)*(o + 3)/7
Let h(l) = -l**2 - 10*l + 41. Let t be h(-13). Factor 4*n**2 - 18*n**2 + 44*n - 4*n**3 - 2*n**t - 24.
-4*(n - 1)**2*(n + 6)
Let g(v) be the third derivative of -v**7/42 + v**6/24 + v**5/4 - 25*v**4/24 + 5*v**3/3 + 138*v**2. Find z, given that g(z) = 0.
-2, 1
Suppose 2*z - 9*z - 49 = 0. Let c(k) = 4*k**2 - 7*k - 7. Let r(a) = -6*a**2 + 10*a + 10. Let g(y) = z*c(y) - 5*r(y). Factor g(d).
(d - 1)*(2*d + 1)
Let y(l) = -l**2 - 68*l - 425. Let n be y(-61). Find o, given that 0 - 2/11*o - 2/11*o**n = 0.
-1, 0
Let h(g) be the third derivative of g**8/3360 - 2*g**7/525 + g**6/48 - 19*g**5/300 + 7*g**4/60 - 2*g**3/15 + 50*g**2 + 2*g. Suppose h(f) = 0. What is f?
1, 2
Let i(g) = g**2 + 12*g + 13. Let v be i(-12). Solve v - 30*r - 29 + 34*r**2 + 12 = 0 for r.
-2/17, 1
Let q(d) be the second derivative of 2*d**7/105 - 2*d**6/15 - 32*d**5/25 - 12*d**4/5 + 286*d. Determine y so that q(y) = 0.
-2, 0, 9
Let n(u) be the first derivative of -u**4/2 - 24*u**3 - 324*u**2 + 118. Factor n(f).
-2*f*(f + 18)**2
Factor 14*n**2 + 19*n**2 - 12*n**2 + 0*n**3 - 3*n**3.
-3*n**2*(n - 7)
Let h(a) be the second derivative of -2*a + 0 + 3/35*a**7 + 0*a**2 + 11/25*a**6 + 19/25*a**5 + 26/45*a**4 + 8/45*a**3. Solve h(t) = 0 for t.
-2, -2/3, -1/3, 0
Let l = -26 + 32. Find z such that l*z**2 - 3*z**2 + 8 + 7 - 3 - 12*z = 0.
2
Let a(w) be the second derivative of 2*w**6/15 - 3*w**5/5 - 17*w**4/3 + 26*w**3 - 40*w**2 - 223*w. Factor a(l).
4*(l - 5)*(l - 1)**2*(l + 4)
Let f(k) = -240*k - 9. Let n be f(1). Let q = n - -501/2. Suppose -3*z**4 + q*z**2 + 3*z**3 - 15/4*z + 3/2 + 3/4*z**5 = 0. Calculate z.
-1, 1, 2
Let c(q) = -q**2 - q - 1. L