e first derivative of 5*j**4/4 - 190*j**3/3 - 205*j**2/2 + 390*j + 850. Let z(i) = 0. What is i?
-2, 1, 39
Suppose 0 = 2*n + 3*v - 17, n + v = -0*n + 7. Find s, given that -8*s**3 - 10*s**n + 3*s**3 - 121*s**5 + 136*s**5 = 0.
-1/3, 0, 1
Factor -87 + 91*q + 27 + 4*q**2 + 103*q - 250*q.
4*(q - 15)*(q + 1)
Let q = -539/5 - -3793/35. Let p(d) be the second derivative of -3*d + q*d**2 - 2/105*d**6 - 1/14*d**4 + 0 - 8/21*d**3 + 1/10*d**5. What is h in p(h) = 0?
-1, 1/2, 2
Let n(y) be the second derivative of 0*y**3 + 0 - 1/70*y**5 + 0*y**2 + 1/42*y**4 + 13*y. Determine m, given that n(m) = 0.
0, 1
Let u = 37015 + -37013. Solve -x + 4/3*x**u + 0 - 1/3*x**3 = 0.
0, 1, 3
Factor -1/9*n**3 + 2/3 - 13/9*n + 8/9*n**2.
-(n - 6)*(n - 1)**2/9
Let k(x) = x**3 + 10*x**2 + 9*x + 3. Let m be k(-9). Factor -10*l**2 + 5*l - 19 + 9 + 10 + 5*l**m.
5*l*(l - 1)**2
Let l be (-809)/2427*1*(-1)/2. Let z = -1/3 + 1/2. Determine k so that -1/6*k**5 + 1/3*k**3 + 1/3*k**2 - 1/6*k**4 - z - l*k = 0.
-1, 1
Let j(f) = -f**2 + f + 1. Let b(i) = -6*i - 1. Let x(c) = -b(c) - j(c). Factor x(s).
s*(s + 5)
Suppose 504 = 4*q + 2*z, q - 3*z - 32 = 87. Suppose -o + q = 4*o. Solve 6*s - 18*s**2 - o*s - 5*s - s**3 + 15*s**3 + 8 = 0 for s.
-1, 2/7, 2
Suppose 26*c - 72 = 14*c. Let f(s) be the second derivative of 1/14*s**7 - 4*s - 1/4*s**4 + 1/10*s**c - 3/20*s**5 + 0*s**2 + 0 + 0*s**3. Solve f(x) = 0 for x.
-1, 0, 1
Let x(l) = -l + 1. Let k be x(-12). Suppose 5*n - n - 22 = -5*r, k = 5*n - r. Factor 1/3*d**n + 0 - 1/3*d + 1/3*d**2 - 1/3*d**4.
-d*(d - 1)**2*(d + 1)/3
Let i(s) be the third derivative of -s**7/2310 - s**6/220 - s**5/60 - s**4/44 + 169*s**2 - s. Factor i(g).
-g*(g + 1)*(g + 2)*(g + 3)/11
Let q(n) be the second derivative of n**5/8 + 5*n**4/4 - 105*n**3/4 + 135*n**2 - 2*n + 1. What is u in q(u) = 0?
-12, 3
Let i(w) be the third derivative of -w**7/2205 - 5*w**6/252 - 4*w**5/15 - 4*w**4/7 - 3*w**2 + 5. Factor i(s).
-2*s*(s + 1)*(s + 12)**2/21
Let k(h) be the second derivative of -5*h**4/12 - 15*h**3/2 + 280*h**2 - 2*h - 1. Suppose k(w) = 0. What is w?
-16, 7
Let q be 4/6 - 16/216*(-54)/(-24). Factor 3/2*y**3 - 2*y + 0 + 2*y**2 + q*y**5 - 2*y**4.
y*(y - 2)**2*(y - 1)*(y + 1)/2
Let f(v) = -55*v**4 + 190*v**3 - 155*v**2 + 20. Let c(i) = -8*i**4 + 27*i**3 - 22*i**2 + 3. Let o(j) = 20*c(j) - 3*f(j). Factor o(l).
5*l**2*(l - 5)*(l - 1)
Let s(u) = u**3 - u + 3. Let b be s(0). Let v be -6 + (-56)/(-10) + 20/25. Determine l so that -12/5*l**b + 0 - v*l - 2*l**2 = 0.
-1/2, -1/3, 0
Suppose -3*c + 4*c - k = -36, -3*c + 4*k = 104. Let y be (((-288)/c)/(-6))/(2/(-5)). Solve 0*d - 1/5*d**2 + 1/5*d**4 + 0 + 0*d**y = 0 for d.
-1, 0, 1
Let i(x) be the second derivative of -x**4 - 56*x**3/3 + 40*x**2 + 27*x - 2. Solve i(g) = 0.
-10, 2/3
Suppose -3 + 28 = 5*s. Suppose -3*l + 27 - 6 = -s*c, 2*l - c - 7 = 0. What is o in -1/4*o**3 + 0*o**l + 1/4*o + 0 = 0?
-1, 0, 1
Let d = -1103 + 1105. Let l(x) be the first derivative of 1/7*x**3 + 3/14*x**d - 3/35*x**5 - 3/28*x**4 - 4 + 0*x. Factor l(o).
-3*o*(o - 1)*(o + 1)**2/7
Let r(q) be the third derivative of 2*q**7/105 + 2*q**6/15 - 28*q**5/15 + 16*q**4/3 - 2*q**2 + 50. Factor r(p).
4*p*(p - 2)**2*(p + 8)
Let w = -30 + 37. Let x(a) = a**3 - 5*a**2 - 15*a + 7. Let z be x(w). Determine d, given that z + 1/5*d**2 + 1/5*d**3 - 1/5*d**4 - 1/5*d = 0.
-1, 0, 1
Let l(j) be the third derivative of -j**7/315 - j**6/60 + 44*j**5/45 + 104*j**2. Suppose l(n) = 0. Calculate n.
-11, 0, 8
Let p be (8 - -2)*12/8. Let k be (4/(-5))/((-6)/p). Factor 2*z + 3*z + z**k - 13*z + 16.
(z - 4)**2
Factor -51 + 9*z**2 - z**3 - 11*z + 11*z - 57.
-(z - 6)**2*(z + 3)
Let b(z) be the first derivative of -2/13*z**2 + 0*z + 10/39*z**3 - 2/13*z**4 + 3 + 2/65*z**5. Find p such that b(p) = 0.
0, 1, 2
Let h be 0 + 1 + (36 - -5). Let z = -38 + h. Let -16/3 + 4/3*x**2 + z*x = 0. Calculate x.
-4, 1
Let z(s) be the first derivative of s**3/3 - 22*s**2 + 484*s + 36. Factor z(w).
(w - 22)**2
Factor -22*q**3 + 67*q**3 - 202*q**4 - 60*q**2 + 192*q**4 + 10*q + 10*q.
-5*q*(q - 2)**2*(2*q - 1)
Let t(b) = 3*b**2 - 37*b + 5. Let u(g) = g**2 - g + 1. Let p(w) = -2*t(w) + 10*u(w). Factor p(y).
4*y*(y + 16)
Let 0 + 0*m**3 + 3/5*m**2 + 0*m - 3/5*m**4 = 0. Calculate m.
-1, 0, 1
Let v(s) = -2*s + 2. Let d be v(9). Let o be (-6)/30 - d/5. Factor -5*r**o - 31 + 31 + 6*r**2 - r.
-r*(r - 1)*(5*r - 1)
Suppose -2*q + 35 = -g, q + 3*g - 7 = -0*g. Find x such that -31*x**4 + q - 11*x + 64*x**4 + 8*x**3 - 5*x - 12*x**2 - 29*x**4 = 0.
-2, 1
Let z(o) be the first derivative of -o**5/15 - 5*o**4/24 - o**3/6 + o**2/12 - 3*o - 9. Let b(t) be the first derivative of z(t). Factor b(a).
-(a + 1)**2*(8*a - 1)/6
Suppose -2*r + 6 + 2 = 0. Factor -3*t**2 + 19 - 2*t - r*t - 19.
-3*t*(t + 2)
Let n be 3 + (-1340)/(-36) + (-2)/9. Determine j, given that -18*j**2 + 16*j - 16*j**3 + n*j**2 - 12 - 14*j**2 + 4*j**4 = 0.
-1, 1, 3
Let o = -515 + 515. Let j(u) be the third derivative of 0 - 1/8*u**3 - 1/16*u**4 + 4*u**2 - 1/80*u**5 + o*u. Let j(f) = 0. Calculate f.
-1
Let -m**2 + 2*m + 0*m**2 + 4*m - 580 + 607 = 0. What is m?
-3, 9
Let d(x) = x**4 + 3*x**3 - 1. Let b(y) = 3*y**4 - 3*y**3 - 1. Let v(c) = b(c) - d(c). Factor v(r).
2*r**3*(r - 3)
Let k(x) = 4 + x + 0*x - 5 + 2*x**2. Let z be k(-2). Factor z - 8 - 2*h**2 + 2*h**4 + 3.
2*h**2*(h - 1)*(h + 1)
Factor 9*j**2 - 36*j - 28*j**2 + 19*j**2 + 12*j**2 - j**3.
-j*(j - 6)**2
Let b(v) be the first derivative of -3*v**5/80 + v**4/8 - 59*v - 22. Let a(w) be the first derivative of b(w). Factor a(u).
-3*u**2*(u - 2)/4
Let i(s) be the third derivative of -5/6*s**3 + 0*s**4 - 5*s**2 + 0*s + 0 + 1/12*s**5. Factor i(c).
5*(c - 1)*(c + 1)
Let j be 9/210*(-1426)/(-69) + (-6)/10. Factor -j - 1/7*r**5 - 3/7*r + 2/7*r**2 + 0*r**4 + 4/7*r**3.
-(r - 2)*(r - 1)*(r + 1)**3/7
Let z(b) be the second derivative of 1/15*b**6 - 4*b**2 + 2/5*b**5 - 4/3*b**3 + 0 + 4*b + 1/2*b**4. Find s such that z(s) = 0.
-2, -1, 1
Let t(b) be the third derivative of b**6/40 + 2*b**5/5 + 9*b**4/8 - 9*b**3 + 126*b**2. Factor t(w).
3*(w - 1)*(w + 3)*(w + 6)
Let w(x) = 4. Let l(b) = -117*b**2 - 123*b**2 + 45 + 241*b**2 - 6*b. Let y(n) = 4*l(n) - 36*w(n). Factor y(p).
4*(p - 3)**2
Let y(k) be the first derivative of -2*k**3/9 + 10*k**2/3 - 16*k - 261. Let y(v) = 0. Calculate v.
4, 6
Let o be (2/(-6))/((-1)/18). Let g(y) = y**2 - 5*y - 4. Let t be g(o). Solve -a**2 + a**2 + 2*a**3 + 2*a**t - 4*a**2 = 0 for a.
0, 1
Let u(f) = -2*f**3 + 10*f**2 + 8*f - 16. Let r be u(7). Let t be (r/(-1365))/((-4)/(-10)). Factor 0*s + 0*s**4 + t*s**3 + 0*s**2 - 2/7*s**5 + 0.
-2*s**3*(s - 1)*(s + 1)/7
Let h(y) be the first derivative of 6*y**5/35 + 13*y**4/14 - 20*y**3/21 - 10. What is q in h(q) = 0?
-5, 0, 2/3
Let t(j) be the second derivative of j**6/75 - j**5/20 - j**4/60 + j**3/5 - 422*j. Factor t(p).
p*(p - 2)*(p + 1)*(2*p - 3)/5
Let z(a) = -a**3 + 20*a**2 - 34*a + 7. Let y be z(18). What is j in -84*j + y*j + 5*j**2 + 41*j = 0?
0
Determine y, given that 0 + 1/2*y**2 + y**3 + 1/2*y**4 + 0*y = 0.
-1, 0
Let r(s) be the first derivative of -4*s + 5 + 2/3*s**3 + s**2. Factor r(u).
2*(u - 1)*(u + 2)
Find k such that 9051*k**2 - 9055*k**2 - 5*k**3 + k**3 = 0.
-1, 0
Let x(n) be the third derivative of 0*n**6 + 0 - 10*n**2 + 1/30*n**5 + 1/18*n**4 + 0*n**3 - 1/315*n**7 + 0*n. Determine r so that x(r) = 0.
-1, 0, 2
Let q be ((-5 - -4)/1)/(-6 - -1). Let z(f) be the third derivative of 7/120*f**4 - 1/100*f**5 + q*f**3 + f**2 + 0 + 0*f. Factor z(r).
-(r - 3)*(3*r + 2)/5
Let f(s) be the third derivative of -2/3*s**4 + 10*s**2 + 0 + 0*s**3 + 1/30*s**6 + 0*s + 0*s**5. Factor f(v).
4*v*(v - 2)*(v + 2)
Factor -12/7*t**2 + 6/7*t**3 - 24/7 - 6*t.
6*(t - 4)*(t + 1)**2/7
Let z(c) be the first derivative of c**3/18 - 25*c**2/4 - 38*c/3 - 392. Find m, given that z(m) = 0.
-1, 76
Let o = 39 + -389/10. Let d(f) be the second derivative of 0*f**3 + 0 + 5*f - 1/21*f**7 + 0*f**4 + 0*f**2 - o*f**5 + 2/15*f**6. Solve d(w) = 0.
0, 1
Let j(q) be the second derivative of -q**4/12 - q**2/2 + 8*q. Let i(o) = 4*o**3 - 20*o**2 + 8. Let k(c) = i(c) - 8*j(c). Factor k(b).
4*(b - 2)**2*(b + 1)
Suppose -10/3*c + 16 - 2/3*c**2 = 0. What is c?
-8, 3
Suppose -2*j + 23 = 5. Suppose -1 = f + 2, -f = 4*g - j. Factor g - 16*q**2 + 12*q**3 + 2 + 3 - 4*q.
4*(q - 1)**2*(3*q + 2)
Let p = 6 + -1. Let d be