ve 9/7*q**2 - 27/7 - w*q = 0 for q.
-1/3, 9
Let m be ((-42)/(-45))/(1/10)*(477 - 465). Suppose 52/3*b + 2/3*b**4 - 52/3*b**3 - 338/3 + m*b**2 = 0. Calculate b.
-1, 1, 13
Let g(x) be the first derivative of -4*x**5/25 - 4*x**4/5 + 652*x**3/15 + 668*x**2/5 + 672*x/5 + 3336. Solve g(a) = 0 for a.
-14, -1, 12
Let o(d) be the third derivative of -d**7/1260 - 17*d**6/360 - 4*d**5/15 - 115*d**4/12 + d**2 - 28*d. Let k(p) be the second derivative of o(p). Factor k(v).
-2*(v + 1)*(v + 16)
Let i be 56/(-360) + (-78)/(-130). Suppose i*d**2 + 100/9 - 40/9*d = 0. What is d?
5
Let m be (-2 - -17)*(-96)/(-720). Let s be 27 - 28 - m*14/(-12). Suppose -316/3*r**3 - 256/3 + 320/3*r + 68/3*r**4 - s*r**5 + 188/3*r**2 = 0. What is r?
-1, 1, 8
Let k = 8679878/15 + -578658. Factor 8/15*q - 2/15*q**2 - k.
-2*(q - 2)**2/15
Let u(i) = 8*i**2 + 46*i - 80. Let f(j) = 7*j**2 + 42*j - 85. Let s(k) = -7*f(k) + 6*u(k). Find l, given that s(l) = 0.
-23, 5
Let t = 1304 + -1292. Let y(d) be the first derivative of -4/3*d**3 - 10*d**2 + d**4 - t*d + 15. Factor y(r).
4*(r - 3)*(r + 1)**2
Let n(i) = i**2 + 521. Let z(r) = -9*r**2 + 2*r - 4166. Let q(o) = 51*n(o) + 6*z(o). Let q(w) = 0. Calculate w.
-21, 25
Let k(h) be the second derivative of -h**4/24 + h**3/4 + 45*h**2 - 11381*h. Factor k(u).
-(u - 15)*(u + 12)/2
Factor t**2 + 142*t - 15*t - 999 + 2*t**2 + 197*t.
3*(t - 3)*(t + 111)
Let 400/7*p**2 + 0*p + 0 - 56*p**3 + 92/7*p**4 + 2/7*p**5 = 0. What is p?
-50, 0, 2
Let k be 5 - (5 - 4 - -4). Factor 0 + k + 33705*w**2 - 33710*w**2 - 75*w.
-5*w*(w + 15)
Let y(w) be the third derivative of 1/4*w**4 + 0 + 0*w - 82*w**2 + 3/70*w**5 - 1/420*w**6 + 11/21*w**3. Suppose y(d) = 0. What is d?
-1, 11
Let i(l) be the second derivative of -l**6/10 + 291*l**5/20 + 49*l**4/2 + 1230*l. Factor i(p).
-3*p**2*(p - 98)*(p + 1)
Suppose x - 3*f = 55, -4*x + 2*f = -191 - 59. Determine p so that 256*p**2 - 33*p**3 - 64*p**4 + 5*p**5 - x*p - 33*p**3 - 30*p**3 + 23*p**5 = 0.
-2, 0, 2/7, 2
Factor -193*x**2 + 660*x**3 - 665*x**3 - 14*x**2 - 23*x**2.
-5*x**2*(x + 46)
Let s = -5136 + 5140. Let k(m) be the third derivative of -5*m**2 + 0 + 0*m - 3/28*m**s - 9/14*m**3 - 1/140*m**5. Factor k(r).
-3*(r + 3)**2/7
Solve 4*h**3 - 1674*h - 6*h**3 + 0*h**3 - 144*h**2 + 32*h**2 + 0*h**3 - 2916 = 0 for h.
-27, -2
Let b(u) be the third derivative of u**6/72 + 25*u**5/24 - 45*u**4/4 + 145*u**3/3 - 9*u**2. Let r(s) be the first derivative of b(s). Factor r(t).
5*(t - 2)*(t + 27)
Let m(i) be the second derivative of -i**8/1344 + i**7/42 - i**6/3 + 8*i**5/3 - 11*i**4/6 - 8*i. Let y(z) be the third derivative of m(z). Factor y(h).
-5*(h - 4)**3
Let s(z) be the third derivative of -z**7/12600 + 11*z**6/1200 - 4*z**5/75 + 59*z**4/24 - 50*z**2. Let v(w) be the second derivative of s(w). Factor v(r).
-(r - 32)*(r - 1)/5
Let b be 2 + 7 - 2274/4. Let t = b + 561. Find j such that 0 - t*j**3 - 3/2*j**2 - 1/2*j - 1/2*j**4 = 0.
-1, 0
Let w(o) = 27*o**2 - 32*o + 7. Let t be w(1). Factor -2/3*c**t - 16/3*c + 0.
-2*c*(c + 8)/3
Let r(q) = q**2 + 59*q + 99. Let j(i) = -i**2 - 55*i - 98. Let o(a) = -9*j(a) - 8*r(a). Factor o(l).
(l + 5)*(l + 18)
Let y(d) be the third derivative of -d**9/20160 + 13*d**8/6720 + d**5/30 + d**4/8 - 32*d**2. Let n(g) be the third derivative of y(g). Factor n(t).
-3*t**2*(t - 13)
Suppose -5*b - 4*w + 68 = -3*b, 2*b + 5*w = 70. Let 53*o + b*o**2 + 71*o + 0*o**2 + 2*o**2 + 4*o**3 + 8*o**2 + 120 = 0. What is o?
-5, -3, -2
Let l(z) be the second derivative of -z**6/720 + z**5/360 + z**4/72 + 54*z**2 + 7*z + 3. Let o(y) be the first derivative of l(y). Factor o(q).
-q*(q - 2)*(q + 1)/6
Let y(g) be the second derivative of g**6/270 + 27*g**5/10 + 58069*g**4/108 - 4410*g**3 + 120050*g**2/9 - 13988*g. Factor y(w).
(w - 2)**2*(w + 245)**2/9
Let s be 12 - (25 - 1886/115 - 3/5). Suppose 7/2*j**2 + 1/2*j**3 + 7*j + s = 0. Calculate j.
-4, -2, -1
Suppose 4*n = -11*n - 90. Let k be (1 - (-9)/n)*(-160)/360. Suppose -k*d**4 - 2/3*d**2 + 8/9*d - 8/9*d**3 + 8/9 = 0. Calculate d.
-2, -1, 1
Let h(g) = 78*g + 12. Let n be h(7). Suppose 5*q - n = 182. What is l in -40 - 393*l**3 - 240*l**3 + 260*l - 140*l**4 - 270*l**2 + q*l**3 = 0?
-2, 1/4, 2/7
Let o(i) be the second derivative of 276*i + 0 - 1/9*i**3 + 0*i**2 - 1/126*i**4. Factor o(s).
-2*s*(s + 7)/21
Let m(g) be the first derivative of -5/2*g**2 - 107 + 1/4*g**4 - 2/3*g**3 + 6*g. Let m(h) = 0. What is h?
-2, 1, 3
Solve -59*t**3 - 1157*t + 600*t**2 + 2336 + 55*t**3 - 1195*t = 0.
2, 146
Let -3*h**4 - 16597 - 1583*h + 25*h**2 - 37*h + 17893 + 276*h**2 + 3*h**3 + 23*h**2 = 0. Calculate h.
-12, 1, 6
Let i = -3171/10 - -4443/14. Let x(v) be the third derivative of 0 - 8/3*v**3 - 5*v**4 + 0*v - 27*v**2 - i*v**7 - 7/4*v**6 - 13/3*v**5. Let x(o) = 0. What is o?
-2, -1, -2/3, -2/9
Let l = -149 + 151. Let a(n) = 2*n - 4. Let h be a(4). Factor 2*b**2 - h*b + 6*b**l - 6*b**2.
2*b*(b - 2)
Suppose -8*b - 9 = -1. Let c(v) = -v**2 - 1. Let u(m) = -3*m**2 + 93*m - 42. Let p(r) = b*u(r) - 3*c(r). Solve p(t) = 0.
1/2, 15
Let w(d) be the first derivative of -d**7/7 - d**6/2 + 5*d**4/4 + d**3 + 53*d + 65. Let r(k) be the first derivative of w(k). Find s such that r(s) = 0.
-2, -1, -1/2, 0, 1
Suppose -3627*v = -3639*v + 60. Let t(y) be the second derivative of 0*y**6 - 3/10*y**v + 0 + 1/2*y**3 + 0*y**4 + 0*y**2 + 1/14*y**7 + 2*y. Factor t(h).
3*h*(h - 1)**2*(h + 1)**2
Let g(m) be the second derivative of -3*m**5/20 + 29*m**4/4 - 90*m**3 - 1458*m - 2. Find u such that g(u) = 0.
0, 9, 20
Let j = 10709/6 - 3569/2. Let c(f) be the second derivative of 0 + j*f**3 + 17*f + 1/3*f**4 + 1/10*f**5 + 0*f**2. Factor c(r).
2*r*(r + 1)**2
Determine f, given that 3/2*f**2 + 201 - 207/2*f = 0.
2, 67
Let d(m) be the second derivative of 9*m**4/4 + 22*m**3 + 78*m**2 - 142*m + 1. Find b such that d(b) = 0.
-26/9, -2
Solve -u**3 - 782*u**2 + 1440 + u**3 + 672*u + 672284*u**4 + 3*u**3 + u**5 - 672266*u**4 = 0 for u.
-12, -1, 2, 5
Let t = 146493 - 146491. Factor -8/5*m**3 + 6/5*m**t + 8/5*m - 8/5 + 2/5*m**4.
2*(m - 2)**2*(m - 1)*(m + 1)/5
Suppose -2*g = 5*y + 16 - 4, 28 = 5*g - 2*y. Factor -11 + 21 + g*o**2 - 14 - o**3 + o.
-(o - 4)*(o - 1)*(o + 1)
Let u(o) = 3 + 12*o**2 + 3*o - 4*o**2 - 2*o**2 + o**3. Let g be u(-4). Factor 8*s**3 - 3*s - g*s**3 + 10*s**3 - 6*s**2 + 14*s**3.
3*s*(s - 1)*(3*s + 1)
Suppose -3*t + 2*t + 4*g + 104 = 0, -102 = -t + 3*g. Let a be 62/15 - t/24. Find y, given that 0 + 0*y**2 - 2/15*y**3 + a*y = 0.
-1, 0, 1
Let b(c) be the first derivative of 14 - 8*c + 0*c**2 + 1/65*c**5 - 7/78*c**4 + 2/13*c**3. Let k(t) be the first derivative of b(t). Factor k(j).
2*j*(j - 2)*(2*j - 3)/13
Let a(u) be the second derivative of -u**7/336 + 5*u**6/72 - 25*u**5/48 - 13*u**3/3 + 87*u. Let m(x) be the second derivative of a(x). What is q in m(q) = 0?
0, 5
Let y(h) = -2*h**3 + 6*h**2 + 50*h - 4. Let u be y(-5). Suppose 5*p + 20 = -2*v, u*p - 147*p - 4 = -5*v. Factor v + 1/2*c**2 + 0*c - 1/2*c**3.
-c**2*(c - 1)/2
Let i be -3*(6 - 180/27). Factor -n**3 - 30*n + 5*n**i - 5*n**2 + 6 + 19*n + n**2 + 5*n**2.
-(n - 3)*(n - 2)*(n - 1)
Suppose -5*p + 10 = 0, 3*s - p + 5*p - 17 = 0. Suppose 9*k**2 - 3*k**4 + 23*k - 105*k**2 - 45 + 18*k**3 - 4*k**3 + 91*k + 16*k**s = 0. What is k?
1, 3, 5
Suppose 0 = -i - 5, -5*i - 9 = 2*n. Let t be (-2)/n - 41/(-4) - 6. Determine q, given that -8/9*q**3 - t*q**2 - 14/9 + 2/9*q**4 - 40/9*q = 0.
-1, 7
Suppose 5916*y - 5902*y - 42 = 0. Factor -8/3 + 108*m - 1458*m**2 + 6561*m**y.
(27*m - 2)**3/3
Let y = 17765272/4845075 + 1/1615025. Let -1/3*r**2 - y*r - 10 = 0. What is r?
-6, -5
Let g(r) be the first derivative of 5*r**6/6 + 13*r**5 + 35*r**4 - 340*r**3 - 1800*r**2 + 2635. Suppose g(l) = 0. Calculate l.
-6, -5, 0, 4
Find n such that 45/4*n**2 + 3*n + 0 + 9/4*n**4 - 147/8*n**3 + 15/8*n**5 = 0.
-4, -1/5, 0, 1, 2
Let l = 502730 + -502730. Let 5/2*a**4 + 5/4*a**5 + 0*a**2 + l + 5/4*a**3 + 0*a = 0. What is a?
-1, 0
Suppose -11*g = -12*g + 3. Suppose 0 = -4*n + 4, 0*x + 45 = 3*x + g*n. Suppose -3*a - 5*a**2 + 10*a**3 + 3*a**3 - 5 - 14*a**3 + x = 0. What is a?
-3, 1
Let b(d) be the third derivative of -d**7/525 - d**6/300 + d**5/30 - d**4/20 - 14*d**2 - 47*d - 2. Factor b(h).
-2*h*(h - 1)**2*(h + 3)/5
Let r be (-28)/4*1/(-7)*0. Suppose r = -2147*i + 2151*i. Suppose 0 + i*l**3 + 0*l - 2/3*l**2 + 2/3*l**4