*m + 1216 = 4*a. Suppose 60*v + 3/2*v**2 + m = 0. Calculate v.
-20
Let t(p) be the first derivative of -26*p**2 - 49 + 4/3*p**3 + 0*p. Determine n so that t(n) = 0.
0, 13
Let z be (11 + 1)/((-129060)/(-11950)). Let k be ((0/2)/(-3))/(-1). Factor k + 2*j**2 - 2/9*j**4 - 2/3*j**3 - z*j.
-2*j*(j - 1)**2*(j + 5)/9
Let h(i) be the third derivative of -i**6/40 - 311*i**5/6 + 3113*i**4/18 - 692*i**3/3 - 2*i**2 + 1043*i. Solve h(c) = 0.
-1038, 2/3
Solve -60/17*n**3 + 378/17*n + 18/17*n**4 - 198/17 + 2/17*n**5 - 140/17*n**2 = 0.
-11, -3, 1, 3
Let g(a) be the first derivative of -29*a - 2/3*a**3 + 0*a**2 - 1/5*a**5 + 31 + 2/3*a**4. Let n(z) be the first derivative of g(z). Factor n(m).
-4*m*(m - 1)**2
Let s(p) be the third derivative of p**8/23520 + 43*p**7/8820 + p**6/45 + 34*p**5/15 - 5*p**2. Let i(z) be the third derivative of s(z). Factor i(k).
2*(k + 28)*(3*k + 2)/7
Let x(h) = 10*h**2 + 22*h - 11. Let b(m) = -4*m**2 + 7*m - 6. Let t(n) = 2*n**2 + n. Let j(z) = b(z) + 4*t(z). Let w(k) = -7*j(k) + 3*x(k). Factor w(d).
(d - 1)*(2*d - 9)
Let v = 96/7 - 171/14. Let y = 25/18 - 8/9. Let -1 + v*w**2 + 1/2*w - 1/2*w**4 - y*w**3 = 0. Calculate w.
-2, -1, 1
Let z be 0/(-1) - (-6)/9*3. Suppose -z*c - 3628 = -4*a, 2*a = 7*a + 2*c - 4535. Determine q so that -q**2 - 6*q + 4*q**2 + 910 - a = 0.
1
Let o(p) be the second derivative of -p**5/100 - p**4/30 - p**3/30 - 2*p + 289. Factor o(u).
-u*(u + 1)**2/5
Let t(q) be the second derivative of -q**4/3 - 692*q**3/3 - 59858*q**2 - 8832*q. Let t(a) = 0. What is a?
-173
Let g = 80 - 40. Let x = -36 + g. What is v in -21*v + 2*v**2 - 3*v**3 + 9 + x*v**2 + 3*v**2 + 6*v**2 = 0?
1, 3
Let g be (-1)/(-8)*0*1 - ((-24)/14)/4. Suppose 0*u - g*u**2 - 3/7*u**3 + 3/7*u**4 + 0 + 3/7*u**5 = 0. What is u?
-1, 0, 1
Determine u, given that -u**2 - 179070*u**4 + 12*u**3 + 19*u**2 + 179072*u**4 = 0.
-3, 0
Let z(s) be the first derivative of -11/16*s**4 - 15/2*s**2 + 326 + 14/3*s**3 + 0*s - 1/20*s**5. Factor z(b).
-b*(b - 2)**2*(b + 15)/4
Factor -370/19 + 2/19*l**3 - 86/19*l**2 + 454/19*l.
2*(l - 37)*(l - 5)*(l - 1)/19
Let d be 2 - 1*(-1 - 22). Suppose -5*r + 3*i - 2*i + d = 0, -5*i = -r + 29. Factor -2*k**2 + 17*k**3 + 4*k + 3*k**4 - 7*k**r - 19*k**2 + k**2.
-k*(k - 2)**2*(4*k - 1)
Let s be -18*(-1 + 2 - (-32)/(-24)). Factor 4*y + 7*y**3 - y**2 - 13*y**2 + 4 - 10*y + 5*y**2 - s*y.
(y - 2)*(y + 1)*(7*y - 2)
Let y(s) be the second derivative of 3*s**7/35 + s**6/3 + 2*s**5/15 + 75*s**2/2 - 23*s + 2. Let d(w) be the first derivative of y(w). Find h such that d(h) = 0.
-2, -2/9, 0
Let l be ((-3)/54*-45)/((-10)/(-16)). Suppose -114 = -42*s + l*s. Let 16/5*z**s + 24/5*z**2 + 12/5*z + 2/5 = 0. What is z?
-1/2
Let h be (28/(-20) + 2)/(2/(-30)). Let m be (-1)/3 + (-21)/h. Find j such that -2*j + 19*j - 11*j - 8*j + m*j**3 - 8*j**2 + 8 = 0.
-1, 1, 4
Factor 10086 + 4364/3*h**2 + 2/3*h**4 - 176/3*h**3 - 7216*h.
2*(h - 41)**2*(h - 3)**2/3
Let i(j) be the second derivative of j**5/30 - 13*j**4/9 + 23*j**3/9 + 50*j**2/3 - 20*j - 60. Determine k, given that i(k) = 0.
-1, 2, 25
Let b = 478890 - 4310006/9. Factor -b*d - 1/9*d**2 + 7/3.
-(d - 3)*(d + 7)/9
Let m = -332999/300 - -1110. Let h(o) be the third derivative of m*o**5 + 0*o + 0*o**3 + 13*o**2 - 1/120*o**4 + 0. Solve h(p) = 0.
0, 1
Suppose -126*l = -121*l - 4725. Let f be 6258/l + (-4)/18. Find b, given that -f + 16*b + 4*b**3 - 66/5*b**2 - 2/5*b**4 = 0.
1, 4
Factor 357/4 + 177/2*n - 3/4*n**2.
-3*(n - 119)*(n + 1)/4
Suppose -5 = 2*j + 3*r, -5*j + 2*j + 9 = -r. Let c = 2051/1644 + 1/411. Let -c*y**j - 1/2*y + 0 = 0. Calculate y.
-2/5, 0
Let z(v) = 1. Let t(f) = -3*f**2 + 2*f**2 + 20*f + 28*f - 579 + 0*f**2. Let u(l) = t(l) + 3*z(l). Find g such that u(g) = 0.
24
Let -31*k - 30 - 30*k**4 - 48*k**2 - 3*k**5 + 61 + 47 - 80*k + 114*k**3 = 0. Calculate k.
-13, -1, 1, 2
Let d(u) be the third derivative of u**5/105 + 101*u**4/21 + 20402*u**3/21 + 9*u**2 + 72. Factor d(r).
4*(r + 101)**2/7
Let n(h) be the second derivative of -2*h**6/45 - 23*h**5/15 - 137*h**4/9 + 22*h**3/9 + 484*h**2 + h + 433. Determine g so that n(g) = 0.
-11, -3, 2
Let x(w) = -27*w**3 + 14*w**2 + 75*w - 150. Let v(i) = -17*i**3 + 9*i**2 + 50*i - 100. Let z(c) = -8*v(c) + 5*x(c). Determine y, given that z(y) = 0.
-5, 2, 5
Let p = 29377/4 + -7461. Let r = 117 + p. Factor -r*d**3 + 1 + d - 1/4*d**2.
-(d - 2)*(d + 1)*(d + 2)/4
Let -4301*p - 686300 - 3873*p - 5*p**2 - 4454680 - 1966*p = 0. Calculate p.
-1014
Let a = -873109 + 2619329/3. Factor 2/3*s**2 - 8/3*s - 8/3 + a*s**3.
2*(s - 2)*(s + 1)*(s + 2)/3
Let a(c) = -2*c**2 - 112*c - 403. Let q(n) = -n**2 - 36*n - 134. Let o be (51/(-9))/(4/12). Let w(z) = o*q(z) + 6*a(z). What is m in w(m) = 0?
-2, 14
Factor -70*r + 3*r**3 - 96 + 38*r**2 - 370*r - 13*r**2 + 12*r**3 - 204.
5*(r - 5)*(r + 6)*(3*r + 2)
Let -25200*q + 6850 + 424*q**2 + 16000 + 281*q**2 - 5*q**3 + 1650 = 0. Calculate q.
1, 70
Let m be 2/3*((-837)/62 + 21). Determine s so that 0 + 14/3*s**m + 0*s**2 - 2*s**3 + 0*s - 8/3*s**4 = 0.
-3/7, 0, 1
Let m(s) be the third derivative of -s**5/300 - 53*s**4/120 - 47*s**3/5 - 12*s**2 - 11*s - 2. Find b such that m(b) = 0.
-47, -6
Let w be (1 - 0/(-3))/(3 - 34/68). Factor 2/5*t**2 - w*t + 0.
2*t*(t - 1)/5
Suppose 135*a - 9492 = 163*a. Let o = a + 5765/17. Factor 2/17*j**3 + 0 - o*j + 2/17*j**4 - 2/17*j**2.
2*j*(j - 1)*(j + 1)**2/17
Let v(t) = -t**2 - 30*t - 74. Let b be v(-25). Factor b - 15*f**2 - 43 - 188*f + f**2 - 128 + 2*f**2.
-4*(f + 15)*(3*f + 2)
Let l(m) be the second derivative of 7/6*m**4 - 2/15*m**6 + 14/3*m**3 - 6*m - 5 + 2/21*m**7 + 4*m**2 - 23/20*m**5. Suppose l(s) = 0. Calculate s.
-2, -1/2, 2
Let x = -8093432/5 - -1618687. Solve -2/5 + x*g - 1/5*g**2 = 0.
1, 2
Suppose -3*k = -2*o - 13 - 11, -o - 12 = 5*k. Let w be ((-33)/o - (-2)/8)*1. Let -12*u**2 - 4*u + 9*u**2 - u + w*u - u**3 = 0. Calculate u.
-2, -1, 0
Suppose 184*m + 1440 - 1808 = 0. Factor -32/7 + 2/7*d**m - 30/7*d.
2*(d - 16)*(d + 1)/7
Suppose r - 4*r + 4*j = -9, 3 = r + 4*j. Suppose 21*n - 194 = 100. Solve 6 - n*w**4 - 8*w**2 + 6 - 16*w**r + 10*w**4 + 16*w = 0.
-3, -1, 1
Let k(b) be the second derivative of -5*b**4/12 - 875*b**3/6 + 440*b**2 - 434*b - 3. Solve k(j) = 0.
-176, 1
Let o(i) be the first derivative of -15*i**4 - 60*i**2 - 3*i**5 - 1/4*i**6 + 71 - 40*i**3 - 48*i. Factor o(u).
-3*(u + 2)**5/2
Let t(x) = -3*x**3 - 1386*x**2 + 45*x + 1386. Let g(l) = -3*l**3 - 1385*l**2 + 38*l + 1385. Let w(d) = -6*g(d) + 5*t(d). Factor w(n).
3*(n - 1)*(n + 1)*(n + 460)
Factor 30*g**2 + 22599*g + 3*g**4 - 22599*g - 33*g**3.
3*g**2*(g - 10)*(g - 1)
Let r = 2445 - 2438. Let c(u) be the third derivative of 1/9*u**4 - 1/45*u**6 - 1/3*u**3 + 1/315*u**r + 12*u**2 + 0*u + 0 + 1/45*u**5. Solve c(x) = 0.
-1, 1, 3
Let h(t) be the second derivative of -1/15*t**5 - 5/3*t**4 - 50/3*t**3 + 4*t**2 + 0 + 14*t. Let a(d) be the first derivative of h(d). Solve a(f) = 0 for f.
-5
Suppose -5*c - 4*k = -205, c - 29 = 5*k - 17. Suppose 38*y = c*y. Factor 0*n - 1/5*n**3 + 1/5*n**2 + y.
-n**2*(n - 1)/5
Let c be (4 + (-28)/6)/((-4)/24). Determine y, given that -43*y**2 - 18*y**3 - 139*y**2 - c*y**4 + 2*y**2 + 82*y**3 - 648*y = 0.
-2, 0, 9
Factor 1/3*t**3 + 68*t - 71/3*t**2 + 0.
t*(t - 68)*(t - 3)/3
Let p = -88 - 84. Let o = -1544/9 - p. Suppose -8/9*t**3 + 0 + o*t**2 + 8/9*t - 4/9*t**4 = 0. Calculate t.
-2, -1, 0, 1
Let -432/5*g**3 + 64/5*g**4 - 1332/5 - 3218/5*g - 476*g**2 + 2/5*g**5 = 0. What is g?
-37, -2, -1, 9
Let v(c) be the third derivative of 58*c**6/5 + 2669*c**5/90 + 82*c**4/9 - 4*c**3 - 7005*c**2. Let v(a) = 0. What is a?
-9/8, -2/9, 2/29
Factor 843 + 517*b + 1193 - 3601 - 1645*b + 4*b**2 - 3011.
4*(b - 286)*(b + 4)
Suppose -181 = -4*h + 19*w - 86, -4*h = -2*w - 10. Find k, given that h*k + 1/5*k**4 + 0 - 1/5*k**3 - 6/5*k**2 = 0.
-2, 0, 3
Let b(u) be the first derivative of u**5 + 0*u**4 + 20*u + 0*u**2 - 76 - 25/3*u**3. Solve b(j) = 0 for j.
-2, -1, 1, 2
Let p(n) be the second derivative of n**5/2 + 115*n**4/12 + 355*n**3/6 + 75*n**2 + 870*n + 3. Solve p(j) = 0.
-6, -5, -1/2
Let d be (2 - (16 - 9)) + (-960)/(-56) - 11. Factor -d*b - 10/7*b**2 - 2/7*b**3 + 0.
-2*b*(b + 1)*(b + 4)/7
Let q(d) be the first derivative of 59/9*d**2 + 2/9*d**3 + 60 - 40/9*d. What is a in q(a) = 0?
-20, 1/3
Suppose -5*x - 208 = -18*x. Solve 55*g + 105*g**3 + 31*g - 