 16/5 - c*j**3 = 0. Calculate j.
-2, -2/3, 1, 2
Solve 173459/2*i**2 + 344569/4 - 172578*i + 1/4*i**4 - 294*i**3 = 0 for i.
1, 587
Suppose 2*z = -0*z + 4. Let c**3 - 154*c**4 + 0*c**3 - c - c**z + 0*c**3 + 155*c**4 = 0. What is c?
-1, 0, 1
Let d(y) = 16*y**3 + 98*y**2 + 136*y + 50. Let x(z) = 51*z**3 + 296*z**2 + 410*z + 152. Let a(k) = 13*d(k) - 4*x(k). Let a(w) = 0. Calculate w.
-21, -1, -1/2
Let f(n) be the third derivative of n**6/40 - 13*n**5/10 + 39*n**4/2 - 108*n**3 - 2206*n**2. What is z in f(z) = 0?
2, 6, 18
Determine i so that -325*i - 14 - 20*i**2 + 25*i**2 - 316 = 0.
-1, 66
Let p(j) be the first derivative of -1/10*j**5 + 0*j + j**2 + 53 + 2/3*j**3 - 1/8*j**4. Let p(h) = 0. Calculate h.
-2, -1, 0, 2
Let z(h) = -7*h**2 + h + 3. Let g(c) = -67*c**2 + 201*c - 2213. Let f(d) = -g(d) + 9*z(d). Find y such that f(y) = 0.
20, 28
Let o(b) be the third derivative of b**6/80 + 57*b**5/20 - 231*b**4/16 + 29*b**3 - 8*b**2 - 152*b. Factor o(j).
3*(j - 1)**2*(j + 116)/2
Let x(t) be the first derivative of -t**4/4 - 17*t**3/6 - 19*t**2/2 - 15*t/2 - 172. Find w, given that x(w) = 0.
-5, -3, -1/2
Let t = 148 + -140. Factor -25*v**2 + 28*v**3 + v**4 + 10*v - 6*v**4 - t*v**3.
-5*v*(v - 2)*(v - 1)**2
Suppose 4*h + 8*f - 7*f = -141, -3 = 3*f. Let v be ((-32)/20)/(7 + 259/h). Factor -3*o**3 + 3/2*o**5 - 3/2*o**v - 3/2 + 3/2*o + 3*o**2.
3*(o - 1)**3*(o + 1)**2/2
Factor -3/2*y**2 - 213 + 219/2*y.
-3*(y - 71)*(y - 2)/2
Let t be (-6*4/168)/(23920/1408 - 17). Let 3/7*b**4 - t*b**2 - 80/7 - 1/7*b**5 + 16/7*b**3 + 144/7*b = 0. What is b?
-5, 2
Let k be ((-1161)/(-86))/(-3) + 166/28. Suppose -18/7*u**3 - 2/7*u**5 + k*u**4 + 0 - 4/7*u + 2*u**2 = 0. Calculate u.
0, 1, 2
Suppose 0 = 9*b - 12069 - 5967. Let k = 16033/8 - b. Determine o so that -k*o**2 - 5/2*o - 25/2 = 0.
-10
Let c(j) be the second derivative of -j**6/15 - 6*j**5/5 - 41*j**4/6 - 10*j**3 - 306*j + 2. Factor c(q).
-2*q*(q + 1)*(q + 5)*(q + 6)
Let y(v) be the second derivative of v**6/10 - 147*v**5/20 + 515*v**4/4 - 887*v**3/2 + 630*v**2 + 110*v - 8. Determine h so that y(h) = 0.
1, 12, 35
Let z = -48510 + 242552/5. Determine r so that z*r**4 + 2/5*r**2 - 8/15 - 8/5*r + 4/3*r**3 = 0.
-2, -1/3, 1
Factor 61/3*z**2 + 1/6*z**3 + 0 - 124/3*z.
z*(z - 2)*(z + 124)/6
Let v(p) be the third derivative of p**6/24 - 17*p**5/2 + 505*p**4/24 + 589*p**2. Factor v(h).
5*h*(h - 101)*(h - 1)
Let s = -6438 - -9929. Factor -1764*i + 46*i**2 - 4741 - 172*i**2 - 2*i**3 - i**3 - s.
-3*(i + 14)**3
Factor 25752/13*b**2 - 2/13*b**3 - 110527584/13*b + 158128130176/13.
-2*(b - 4292)**3/13
Let k(r) = r**3 - 2*r - 40. Let t be k(0). Let b = t + 62. Factor 0*d**4 + 18*d**3 + 9 - 15*d**2 + 3*d**4 + 30*d + b*d**2 + 29*d**2.
3*(d + 1)**3*(d + 3)
Suppose 3*k + 0*k + 4*v - 470 = 0, -2*v - 740 = -5*k. Suppose -4*i = 5*b - 5, 4*b - 2*b = -2*i + 4. Solve -i*g**2 + 52 - k - 28*g + 3*g**2 = 0 for g.
-7
Let u be (-2)/(-4) + (-32)/(-12400). Let l = u + -2/775. Factor -g + l + 1/2*g**2.
(g - 1)**2/2
Let q(j) be the third derivative of -j**5/6 - 23*j**4/42 - 11*j**3/21 - 8*j**2 - 108*j. Determine t, given that q(t) = 0.
-1, -11/35
Let d(a) be the second derivative of -a**6/210 - 23*a**5/35 + 283*a**4/84 - 95*a**3/21 - 6121*a. Let d(m) = 0. What is m?
-95, 0, 1, 2
Let c(b) = -29*b**3 + 227*b**2 - 325*b. Let o(h) = 9*h**3 - 74*h**2 + 108*h. Let r(j) = -4*c(j) - 13*o(j). Factor r(u).
-u*(u - 52)*(u - 2)
Let h(z) be the second derivative of -z**4/30 - 12*z**3/5 + 37*z**2/5 + 8*z + 103. Let h(q) = 0. Calculate q.
-37, 1
Let r(j) be the first derivative of -j**5 - 475*j**4/4 + 485*j**3/3 + 475*j**2/2 - 480*j + 2765. Find i such that r(i) = 0.
-96, -1, 1
Let z(t) be the third derivative of t**7/630 - 13*t**6/360 + 29*t**5/180 + 133*t**4/72 - 49*t**3/3 + 26*t**2 + t. Factor z(v).
(v - 7)**2*(v - 2)*(v + 3)/3
Let i(t) be the third derivative of t**6/160 - t**5/8 - 11*t**4/32 + 754*t**2. Factor i(l).
3*l*(l - 11)*(l + 1)/4
Let h be 65/(-1*7/(-7)). Factor -h*z - z**2 + 8*z**2 - 4*z**2 - 60 - 6*z**2 - 2*z**2.
-5*(z + 1)*(z + 12)
Let y = -104/29 - -13324/3683. Let d = 1123/635 + y. Factor 0 + 8/5*p**3 - d*p + 6/5*p**2 + 1/5*p**5 - 6/5*p**4.
p*(p - 3)**2*(p - 1)*(p + 1)/5
Determine k, given that -1412*k + 996872 + 1/2*k**2 = 0.
1412
Let i(q) be the second derivative of q**5/160 + 13*q**4/96 + 5*q**3/6 - 415*q. Factor i(b).
b*(b + 5)*(b + 8)/8
Let j(q) be the first derivative of q**5/10 + 5*q**4/4 + 16*q**3/3 + 8*q**2 + 2320. Solve j(t) = 0.
-4, -2, 0
Suppose -67*w + 52*w = -34*w - 185*w. Factor -9/7*a**2 + 12/7 + 3/7*a**3 + w*a.
3*(a - 2)**2*(a + 1)/7
Let s be 0*(2 - -1)/(-3). Let q(t) = t**3 - 2*t**2 + t + 2. Let i be q(s). Find v, given that -4/5*v + 1/5*v**i + 0 = 0.
0, 4
Let v(p) be the second derivative of p**7/5880 + p**6/56 + 29*p**5/280 + 85*p**4/12 - 22*p. Let i(s) be the third derivative of v(s). What is g in i(g) = 0?
-29, -1
Let z be ((-8492)/(-579) + 5 + -20)*(-78)/10. Let 0 + 1/5*r**2 - z*r = 0. What is r?
0, 13
Let z(k) be the first derivative of k**5/35 + 31*k**4/28 + 59*k**3/21 + 29*k**2/14 - 215. Determine q, given that z(q) = 0.
-29, -1, 0
Let n(q) be the second derivative of -q**5/140 + q**4/28 - q**3/14 + 65*q**2/2 + q - 14. Let d(f) be the first derivative of n(f). What is r in d(r) = 0?
1
Let k(m) be the second derivative of -1/2*m**3 + 0 + 9/20*m**5 + 3*m**2 + 59*m - m**4. Let k(h) = 0. What is h?
-2/3, 1
Let m(h) = 20*h**2 + 8*h**4 - 24*h**2 - 8*h - 5*h**3 - 3*h. Let w(d) = -9*d**4 + 6*d**3 + 3*d**2 + 12*d. Let c(f) = 6*m(f) + 5*w(f). Factor c(z).
3*z*(z - 2)*(z + 1)**2
Let s(b) = 12*b**2 - 2. Let f(l) = 109*l**2 - 104*l + 2686. Let q(m) = -2*f(m) + 18*s(m). What is v in q(v) = 0?
52
Factor -44/3*s**2 + 320*s - 4/3*s**3 - 1104.
-4*(s - 6)**2*(s + 23)/3
Let g(f) be the second derivative of -5/12*f**4 - 15 + 50/3*f**3 - 95/2*f**2 - 3*f. What is q in g(q) = 0?
1, 19
Let d be (3/1*-1)/(((-210)/28)/5). Suppose 2/7*g**d - 48/7*g + 288/7 = 0. Calculate g.
12
Suppose 0 = -4*d - 9 - 3, 4*d - 42 = -3*q. Find c such that -50*c**3 + 16*c**3 + q*c**3 + c**4 + 64*c**2 = 0.
0, 8
Let c be 47048/40 + (-8)/(-10). Find g such that 2*g**5 + 2*g**5 + c*g**3 - 8*g**2 + 8*g**4 - 1181*g**3 = 0.
-2, -1, 0, 1
Suppose 17*w = 19*w + 36. Let g be -3 + (w/42)/((-9)/69). Determine s so that 1/7*s**2 + g + 3/7*s = 0.
-2, -1
Let x(c) be the third derivative of -c**6/300 - 4*c**5/15 + 133*c**4/60 + 172*c**3/15 + 11*c**2. Factor x(g).
-2*(g - 4)*(g + 1)*(g + 43)/5
Let m = -10678 + 10680. Let 29/2*x**2 - m*x**4 - 19/2*x**3 - 3*x + 0 = 0. Calculate x.
-6, 0, 1/4, 1
Factor -2045*f + 2250 - 70*f**2 - 33*f**2 - 9277*f**3 + 9282*f**3 - 107*f**2.
5*(f - 50)*(f - 1)*(f + 9)
Suppose -123 = -3*v - 71*z + 74*z, -4*z + 88 = 2*v. Suppose 4*h - 3*a = -1, 0*h - 5*h + 3*a + 1 = 0. Factor -19*g - v*g**h + 46*g**2 + 7 + 3*g + 5.
4*(g - 3)*(g - 1)
Let t be ((-16)/14 - -1) + (-55224)/(-16520). Factor -8/5*x - 2*x**3 + t*x**2 + 2/5*x**4 + 0.
2*x*(x - 2)**2*(x - 1)/5
Let m(z) be the third derivative of z**4/24 + 31*z**2. Let b(o) = 5*o**2 - 22*o - 70. Let x(a) = b(a) - 3*m(a). Find s, given that x(s) = 0.
-2, 7
Let a(i) be the first derivative of -1/24*i**3 + 1/8*i**4 + 57 + 1/2*i - i**2. Find y such that a(y) = 0.
-2, 1/4, 2
Let q be 0*(11 + 23/(-2)). Let g(l) be the first derivative of 6 + 0*l**3 + 0*l - 3/4*l**4 + q*l**2. Factor g(j).
-3*j**3
Suppose -6*g - 39 = 7*g. Let d be (4/45)/((21/(-35))/g). Suppose 4/9*h**2 - 8/9*h + d = 0. Calculate h.
1
Suppose 51/4*m**2 - 45/8*m - 27/8*m**4 - 75/8 + 3/8*m**5 + 21/4*m**3 = 0. Calculate m.
-1, 1, 5
Let g be 1/(-9) + 49*71376/15120. Suppose -68/5*j + 1/5*j**2 + g = 0. What is j?
34
Find c such that -15*c - 46*c**2 + 214/7 - 3/7*c**3 = 0.
-107, -1, 2/3
Let a(i) = -7 - 5*i - 10*i**3 + 11*i**3 - 5*i**2 + 12*i. Let d be a(4). Factor -77*k**5 + 7*k**4 + 43*k**5 + 35*k**d + 15*k**3 + 9*k**2.
k**2*(k + 1)*(k + 3)**2
Let m be 60/38*156/816 - (-10)/(-85). Let d(j) be the second derivative of 16/57*j**3 + 0 - 12*j + m*j**4 + 4/19*j**2 + 9/190*j**5. Factor d(p).
2*(p + 1)*(3*p + 2)**2/19
Let i(c) be the third derivative of -19773/16*c**6 + 0*c + c**2 + 86 - 195/16*c**4 - 1521/8*c**5 - 5/12*c**3. Let i(b) = 0. What is b?
-1/39
Let q(p) = -162*p**4 - 708*p**3 - 16*p**2. Let j(z) = 81*z**4 + 350*z**3 + 8*z**2. Let k(a) = 7*j(a) + 3*q(a). Solve k(x) = 0.
-4,