e first derivative of h**6/10 + 39*h**5/25 - 21*h**4/10 - 31. What is s in j(s) = 0?
-14, 0, 1
Solve 48*z**4 + 8113 + 20*z**5 - 8113 + 11*z**3 + 5*z**3 = 0.
-2, -2/5, 0
Let r(i) be the first derivative of 2*i**2 - 9 + 8*i - 4/3*i**3. Factor r(c).
-4*(c - 2)*(c + 1)
Let c(r) = r**3 - 16*r**2 - 43*r - 5. Let s be c(18). Let h = s + 657/5. Factor 16/5*w - 32/5 - h*w**2.
-2*(w - 4)**2/5
Let l(k) be the first derivative of k**2/2 + 6*k + 4. Let j be l(-3). Solve -6 - 2*t + t**j + t + 6 - 4*t**4 + 4*t**2 = 0 for t.
-1, 0, 1/4, 1
Let t(w) be the first derivative of -w**3/6 + 3*w**2 - 10*w + 369. Solve t(h) = 0.
2, 10
Factor -60*s**2 + 11 - 2*s**4 - 7 - 2*s**4 - 28*s**3 - 4 - 36*s.
-4*s*(s + 1)*(s + 3)**2
Let i(g) be the first derivative of -34*g**3/9 - 83*g**2/15 + 4*g/15 + 31. Determine w so that i(w) = 0.
-1, 2/85
Suppose 4*x + 3*c = 29, 0 = -0*x + 4*x + 2*c - 26. Suppose x*s = 4 + 21. Solve 3*z**4 - 3*z**s + 16*z - 16*z = 0 for z.
0, 1
Factor 4*g**3 - 2*g**3 - 400 - 18*g**2 - 38*g**2 - 260*g - 6*g**3.
-4*(g + 4)*(g + 5)**2
Let k be ((-112)/(-32) - (-6 + 8))*(-22)/(-18). Factor -5/6*c + 7/3*c**3 - k*c**2 + 1/3.
(c - 1)*(2*c + 1)*(7*c - 2)/6
Let w(f) be the third derivative of -f**7/4200 + f**4/24 + 16*f**2. Let s(h) be the second derivative of w(h). What is a in s(a) = 0?
0
Let y(a) be the second derivative of -a**7/126 + a**6/90 + 29*a**5/60 + 3*a**4/4 - 6*a**3 - 18*a**2 + 106*a. Determine j, given that y(j) = 0.
-3, -1, 2, 6
Let n be 17/4845*19*(5 - 1). Factor 2/15*f**2 - 2/5 - n*f.
2*(f - 3)*(f + 1)/15
Suppose -38/9*t**3 - 10/9*t**2 - 22/9*t**4 + 0 + 2/3*t**5 + 0*t = 0. Calculate t.
-1, -1/3, 0, 5
Let l(q) be the first derivative of 0*q**3 + 0*q - 1/240*q**5 - 1/32*q**4 + 5 + 3/2*q**2. Let g(k) be the second derivative of l(k). Factor g(x).
-x*(x + 3)/4
Find s such that -444/7 + 4/7*s**2 - 136/7*s = 0.
-3, 37
Let c be (-3)/((-180)/17) - 2/10. Let y = c - -1/6. Determine g so that -1/4*g**2 + y + 0*g = 0.
-1, 1
Let a = 369/5 + -72. Suppose -17*q = -20*q + 9. Let -a*w**2 - 3/5 + 3/5*w**q + 9/5*w = 0. Calculate w.
1
Determine s, given that -3*s + 1/2*s**2 + 4 = 0.
2, 4
Let w(s) be the first derivative of -s - 1225/12*s**3 + 38 - 35/2*s**2. Factor w(a).
-(35*a + 2)**2/4
Let t(h) = -4*h - 2. Let y be t(-2). Let b be (7 - 3)/(y + -4). Find d such that d**4 + 2*d**4 + 7*d**b - d**2 - 12*d**3 + 3*d**2 = 0.
0, 1, 3
Let j(q) be the third derivative of -q**6/3780 - q**5/630 + q**4/84 - 9*q**3/2 + 3*q**2 - 2. Let r(k) be the first derivative of j(k). What is v in r(v) = 0?
-3, 1
Let i(p) be the second derivative of -49/60*p**5 + 4/3*p**3 - 27*p + 0 + 7/12*p**4 + 2/3*p**2. Factor i(q).
-(q - 1)*(7*q + 2)**2/3
Let c(t) be the first derivative of -t**4/16 + t**3/6 + 95*t**2/8 + 75*t - 687. Find u such that c(u) = 0.
-5, 12
Let l(f) be the second derivative of f**7/2 - 37*f**6/10 + 183*f**5/20 - 19*f**4/4 - 16*f**3 + 30*f**2 - 441*f. Let l(x) = 0. What is x?
-5/7, 1, 2
Let y be (55 - 53)*(-9)/(-24). Determine u, given that -y*u**3 + 0*u + 0 + 3/4*u**2 = 0.
0, 1
Let r(v) = -v**3 - 5*v**2 - 2*v - 5. Let z be r(-5). Let l(s) = -s**3 - s**2 - s + 1. Let p(q) = 25*q**2 + 55*q + 45. Let c(n) = z*l(n) - p(n). Factor c(m).
-5*(m + 2)**3
Suppose 10*g + c = 13*g, 3*g - 5*c + 24 = 0. What is t in -3 + 9/2*t**3 + 3/2*t**4 + 3/2*t**g - 9/2*t = 0?
-2, -1, 1
Factor 280*f - 56/3*f**3 + 2/3*f**4 + 332/3*f**2 + 150.
2*(f - 15)**2*(f + 1)**2/3
Let w(p) be the first derivative of -7/6*p**4 - 4*p + 4 - 4*p**2 - 3/20*p**5 - 10/3*p**3. Let z(l) be the first derivative of w(l). Factor z(k).
-(k + 2)**2*(3*k + 2)
Let c(l) be the third derivative of 0 + 0*l + 1/480*l**6 + 5/24*l**3 + 45*l**2 - 3/32*l**4 + 1/80*l**5. Find m, given that c(m) = 0.
-5, 1
Suppose -148*b + 142*b = -48. Suppose -2*s + 30 = b*s. Factor -6/7*o**2 - 16/7*o + 18/7*o**s + 8/7.
2*(o + 1)*(3*o - 2)**2/7
Let y(d) be the second derivative of -d**4/66 + 4*d**3/33 + 45*d**2/11 - 105*d - 1. Find l, given that y(l) = 0.
-5, 9
Factor -3*t**4 + 4*t**3 - 13*t**4 - 2*t + 8*t**4 + 8*t**4 - 2*t**5.
-2*t*(t - 1)**2*(t + 1)**2
Let r(a) be the second derivative of a**7/630 - 11*a**6/180 + a**5/3 - 7*a**4/6 - a**3/3 + 2*a - 5. Let h(m) be the third derivative of r(m). Factor h(u).
4*(u - 10)*(u - 1)
Suppose -95/7*h + 0 + 1/7*h**2 = 0. What is h?
0, 95
Let r(b) be the second derivative of 7*b**7/3 - 266*b**6/5 + 45*b**5/2 - 8*b**4/3 + 7*b - 3. Factor r(h).
2*h**2*(h - 16)*(7*h - 1)**2
Find k, given that 722/15 + 6/5*k**2 - 76/5*k = 0.
19/3
Let -36*a**2 - 38*a**2 + 118*a**2 + 126*a - 41*a**2 = 0. Calculate a.
-42, 0
Let b = 229 - 243. Let y be (-36)/b + -2 + (-608)/(-504). Factor y - 220/9*o**2 - 16/3*o.
-4*(5*o + 2)*(11*o - 2)/9
Let b(o) be the third derivative of o**5/150 - 7*o**4/30 + 2*o**2 - 94*o. Factor b(r).
2*r*(r - 14)/5
Suppose -2*g + 5*g + 5 = j, 13 = 2*j - 5*g. Suppose -j*i = -11*i - 9. Factor 8/15 - 56/15*d - 28/3*d**i + 46/5*d**2 + 10/3*d**4.
2*(d - 1)**2*(5*d - 2)**2/15
Let c(f) be the third derivative of -f**6/30 + 2*f**5/15 + 4*f**4/3 + f**2 + 4. Factor c(w).
-4*w*(w - 4)*(w + 2)
Let n(m) = 35*m**2 + 95*m + 40. Let v(w) = -w**2 + 2. Let f(x) = n(x) - 5*v(x). Factor f(h).
5*(h + 2)*(8*h + 3)
Suppose 15 = y - 5. Let f be (-2)/5 - (-68)/y. Suppose 2*t**5 - 4*t**f - 15*t + t + 16*t**2 - 4*t**4 + 0*t**3 + 4 = 0. Calculate t.
-2, 1
Let s = -1395 + 4187/3. Let l(h) be the second derivative of -s*h**3 + 2/3*h**4 - 2/15*h**6 + 0 + 2/5*h**5 - 7*h - 2*h**2 - 2/21*h**7. Solve l(w) = 0.
-1, 1
Let p(j) = -j**2 - 10*j. Let r be p(-9). Let q be r/(-6)*(-30)/3. Find n, given that n**2 + q*n + 3 + 4*n**2 + 7 = 0.
-2, -1
Let f(c) be the second derivative of 0 - 18*c + 0*c**3 + 0*c**4 + 1/126*c**7 + 0*c**2 + 0*c**6 + 0*c**5. Factor f(y).
y**5/3
Suppose -l = -2*s + 2, -s = -4*l - 4*s + 25. Let a be (-120)/1300 - l/(-10). Factor a - 6/13*r + 0*r**2 + 2/13*r**3.
2*(r - 1)**2*(r + 2)/13
Let o(t) be the second derivative of -t**6/10 - 27*t**5/50 + 13*t**4/20 + 9*t**3/5 - 12*t**2/5 + 22*t. Solve o(k) = 0 for k.
-4, -1, 2/5, 1
Let p be (4 + 3 - 7)*14/(-28). Factor 0 - 2/5*i**2 + p*i.
-2*i**2/5
Let a(k) be the third derivative of k**6/280 + 3*k**5/140 + 3*k**4/56 + k**3/14 - 12*k**2 + 3. Suppose a(w) = 0. What is w?
-1
Let k = 741 - 6667/9. Suppose -k*m + 0 + 2/3*m**2 + 2/9*m**4 - 2/3*m**3 = 0. What is m?
0, 1
Suppose 0 = -5*c - 2*z + 141 + 50, 0 = -5*c + 2*z + 199. Suppose 0 = -6*b + 57 - c. Suppose 3/7*v**b + 0*v + 3/7*v**5 + 0*v**2 + 0 - 6/7*v**4 = 0. What is v?
0, 1
Determine v, given that 208 + 132*v**2 + 14*v**3 - 36*v + 140*v + 26*v + 166*v - 2*v**4 = 0.
-2, 13
Suppose 42 = 5*m - 8. Suppose -6*b + m + 38 = 0. Solve 10*z - 16*z**2 - 24*z + 10*z + b*z = 0.
0, 1/4
Let v(t) be the third derivative of -t**7/20160 + t**6/1440 - t**5/320 - t**4/4 + 5*t**2. Let z(c) be the second derivative of v(c). Factor z(f).
-(f - 3)*(f - 1)/8
Suppose -28*t + 25*t - 342 = 0. Let l = t + 801/7. Factor 12/7*b - 12/7 + l*b**2 - 3/7*b**3.
-3*(b - 2)*(b - 1)*(b + 2)/7
Let z = 64 - 52. Suppose 5*l - z = -2. Suppose -1/3*u**l + 0 + 1/3*u = 0. Calculate u.
0, 1
Let i = 596 - 261. Find m such that -32 - i*m**2 - 451*m - 2569*m**2 - 5324*m**3 - 77*m + 0 = 0.
-2/11
Let z(o) be the second derivative of o**4/12 - 5*o**3/2 + 27*o**2 - 5*o + 9. Factor z(s).
(s - 9)*(s - 6)
Let -224/3 + 592/15*a + 2/15*a**3 - 86/15*a**2 = 0. Calculate a.
4, 35
Let c(z) be the first derivative of -6/35*z**5 + 0*z**2 + 1/7*z**6 + 0*z + 2/7*z**3 - 13 - 3/14*z**4. Factor c(x).
6*x**2*(x - 1)**2*(x + 1)/7
Let w(t) be the third derivative of -t**8/896 + t**7/28 - 37*t**6/320 + 9*t**5/80 - 64*t**2 + 2*t. Let w(l) = 0. What is l?
0, 1, 18
Suppose -4*m + 15 = -7*m, 0 = -4*u + 4*m + 4. Let t be (2/3 + (-4 - u))*3. Factor 1/2*z**4 - 3/2*z**t - z + 0*z**3 + 0.
z*(z - 2)*(z + 1)**2/2
Let l = 33 - 31. Let x(h) = 6*h**3 - 4*h**2 - 16*h - 6. Let b(y) = 6*y**3 - 5*y**2 - 16*y - 5. Let z(c) = l*b(c) - 3*x(c). Let z(u) = 0. Calculate u.
-1, -2/3, 2
Let n(x) = -x**3 + x**2 + 23*x. Let z(p) = -p**3 + p**2 + 20*p. Let h(l) = 6*n(l) - 7*z(l). Suppose h(j) = 0. What is j?
-1, 0, 2
Let m(g) be the second derivative of g**8/10080 - g**6/360 - g**5/90 - g**4/3 - 4*g. Let q(x) be the third derivative of m(x). Solve q(h) = 0.
-1, 2
Let k(d) be the second derivative of 1/50*d**5 - 1/3*d**3 + 0 - 2/5*d**2 + 1/75*d**6