60/3*q**3. Suppose g(v) = 0. What is v?
-20
Let o(g) be the second derivative of g**6/360 - g**5/20 + 49*g**3/6 + g - 6. Let q(i) be the second derivative of o(i). What is s in q(s) = 0?
0, 6
Let p(k) be the third derivative of -k**7/210 - k**6/12 - 7*k**5/20 - 198*k**2 + 1. Determine g, given that p(g) = 0.
-7, -3, 0
Let l(o) = 2*o**2 + o - 1. Let k(i) = 11*i**2 - 8*i - 6. Suppose r - 4*j = 2*r + 21, 5*j = -4*r - 40. Let u(p) = r*k(p) + 30*l(p). Solve u(q) = 0.
-14, 0
Let a be ((-1616)/(-64) + -25)*(4 + -3)*8. Find h such that 1/5*h**a + 841/5 - 58/5*h = 0.
29
Let k(p) = 9*p**2 + 531*p - 9. Let v(n) = -11*n**2 - 532*n + 12. Let h(q) = -4*k(q) - 3*v(q). Factor h(b).
-3*b*(b + 176)
Let f be (-2)/6 - 7/(-3). Let y(r) = -r**3 - 16*r**2 + 11*r - 29. Let s be y(-17). Factor s*z**f - 6*z - 82*z**2 - z**3 - z**3 - z**3.
-3*z*(z + 1)*(z + 2)
Let v(t) be the first derivative of 2*t**3/3 - 5*t**2/2 + 12*t + 9. Let h(r) = r**2 - 3*r + 6. Let c(l) = 5*h(l) - 2*v(l). Factor c(z).
(z - 3)*(z - 2)
Factor 26*i - 27 - 23/4*i**2 - 1/4*i**3.
-(i - 2)**2*(i + 27)/4
Let h be -15*(-26)/(-39)*-2. Let b(v) be the third derivative of 0 - 1/120*v**5 + 0*v**3 + 5/48*v**4 + h*v**2 + 0*v. What is p in b(p) = 0?
0, 5
Let u be (-290)/(-45) + 98/(-18) + 5. Suppose u*q + 2*q = q. Factor q + 3/2*h**2 - 3/2*h.
3*h*(h - 1)/2
Factor 240*w**2 - 3*w**3 - 185*w**2 + 161*w**2 + 216*w**2 + 249*w**2.
-3*w**2*(w - 227)
Let u(m) be the first derivative of -m**5/2 + 63*m**4/8 + 31*m**3/6 - 63*m**2/4 - 13*m - 1068. Solve u(t) = 0.
-1, -2/5, 1, 13
Let r be 36/(-30)*(-30)/(-9). Let v = 6 + r. Determine s so that 10*s**v - 5*s - 16 + 16 - 5*s**3 = 0.
0, 1
Suppose 0*b = -8*b + 108 - 76. Let t(m) be the first derivative of 4*m**2 + 0*m - 2*m**5 - 8/3*m**3 - 17 - 13/2*m**b. Find j such that t(j) = 0.
-2, -1, 0, 2/5
Suppose 4*f = -3*v + 49 - 23, -3*v - f = -11. Let h = -2/127 - -389/508. Let h*d**v - 5/4*d**4 + 1/2*d - 3/2*d**3 + 3/2*d**5 + 0 = 0. Calculate d.
-2/3, -1/2, 0, 1
Let y(s) be the third derivative of 0*s + 0 - 5/6*s**4 - 13/24*s**6 - 5/336*s**8 - 137*s**2 - s**5 - 1/7*s**7 + 0*s**3. Let y(u) = 0. What is u?
-2, -1, 0
Let t = -251081 - -1255416/5. Factor -36/5 + t*f**2 + 1/5*f**3 + 24/5*f.
(f - 1)*(f + 6)**2/5
Let c be 544/(34 + -33 + (80/(-90))/(8/(-36))). What is a in -192/5 - 92/5*a**3 - 364/5*a**2 - 8/5*a**4 - c*a = 0?
-4, -3, -1/2
Solve 2/9*f**5 + 10/9*f**4 - 70/9*f**3 + 10/3*f**2 + 0 + 12*f = 0.
-9, -1, 0, 2, 3
Let t(x) be the second derivative of x**4/12 + 11*x**3/3 + 45*x**2/2 - 16*x. Let z be t(-2). Factor -12*f - 56/3*f**3 + 64/3*f**2 + 8/3 - 4/3*f**z + 8*f**4.
-4*(f - 2)*(f - 1)**4/3
Let x(v) be the second derivative of -v**7/126 - 2*v**6/9 - 26*v**5/15 - 83*v**4/18 + 19*v**3/6 + 39*v**2 - 997*v. Suppose x(t) = 0. Calculate t.
-13, -3, -2, 1
Let r(t) be the third derivative of t**5/240 - 403*t**4/12 + 324818*t**3/3 + 20*t**2 - 11*t. Solve r(a) = 0.
1612
Let u(y) be the third derivative of -y**5/210 + y**4/7 - 9*y**3/7 + 2*y**2 - 5*y - 197. Find o such that u(o) = 0.
3, 9
Determine q so that -173/6*q + 22/3*q**3 + 133/6*q**2 - 2/3 = 0.
-4, -1/44, 1
Let n(i) be the first derivative of 5*i**2/2 + 230*i + 120. Let v be n(-46). Solve 3/2*s**2 - 3/2*s**3 + v + 0*s + 3/2*s**5 - 3/2*s**4 = 0.
-1, 0, 1
Let c(t) be the first derivative of -t**3/15 - 477*t**2/10 + 478*t/5 - 231. Suppose c(d) = 0. What is d?
-478, 1
Let m(z) = 12*z**3 + 3603*z**2 + 3429*z. Let g(y) = y**3 + 277*y**2 + 264*y. Let w(p) = -27*g(p) + 2*m(p). Determine o so that w(o) = 0.
-90, -1, 0
Let n(a) be the first derivative of a**6/24 - 19*a**5/20 + 17*a**4/8 - 771. Factor n(g).
g**3*(g - 17)*(g - 2)/4
Let x(c) be the third derivative of -c**5/300 + 7*c**4/60 + 49*c**3/10 + 1624*c**2. Determine v so that x(v) = 0.
-7, 21
Suppose -13*g - 25 = -15*g + 5*q, -3*q = -2*g + 15. Factor p**2 - 3*p - 5 + 6*p - 7*p + g*p**2.
(p - 5)*(p + 1)
Let i(s) be the second derivative of 2*s**6/15 + 6*s**5 + 131*s**4/3 + 100*s**3 - 10250*s. Solve i(v) = 0 for v.
-25, -3, -2, 0
Let f(p) be the first derivative of 69 + 5/2*p - 35/8*p**2 - 245/12*p**3. Factor f(w).
-5*(7*w - 1)*(7*w + 2)/4
Let a(t) be the second derivative of 0 + 0*t**2 - 21/80*t**5 - 9/16*t**4 - 177*t - 1/4*t**3. Factor a(i).
-3*i*(i + 1)*(7*i + 2)/4
Let c(w) = 34*w**2 - 15*w + 21. Let d be c(10). Suppose 0*o + 0*o - 3268*o**4 + 3*o**2 + 6*o**3 + d*o**4 = 0. What is o?
-1, 0
Let j(g) = g**2. Let f(p) = p**2 + 34*p - 289. Suppose -10*u + 6*u = -4*b - 16, 2*b = 5*u - 14. Let a(n) = b*j(n) + f(n). Solve a(r) = 0 for r.
17
Let j(p) be the first derivative of p**5/40 + 5*p**4/24 + p**3/3 + 23*p + 78. Let n(d) be the first derivative of j(d). Factor n(z).
z*(z + 1)*(z + 4)/2
Let o(m) be the second derivative of 0*m**2 - m + 19 + 5/6*m**3 + 1/36*m**4. Factor o(i).
i*(i + 15)/3
Let j(b) be the third derivative of -15*b**2 + 1/270*b**5 - 1/27*b**4 + 1/9*b**3 + 0 - 3*b. Suppose j(x) = 0. Calculate x.
1, 3
Suppose s - 5*n = 764, -2*s + 4*n = -38 - 1496. Let r = s - 5371/7. Factor r - 4*k**2 - 34/7*k.
-2*(2*k + 3)*(7*k - 2)/7
Let s = -111 + 123. Let i be (-3 - (-30)/s) + (-5)/(-2). Factor -18*d**2 + 3*d + 13*d - i - 4*d.
-2*(3*d - 1)**2
Determine o, given that 16/3*o**2 + 16/3*o + 0 + 1/6*o**4 + 5/3*o**3 = 0.
-4, -2, 0
Let p(z) = 24*z**2 - 28*z - 4. Let w = -159 + 163. Let q(u) = -u**3 - 24*u**2 + 28*u + 3. Let s(b) = w*q(b) + 3*p(b). Factor s(g).
-4*g*(g - 1)*(g + 7)
Let t(s) = -6*s**2 - 89*s - 5. Let a(b) = 3*b**2 + 36*b + 3. Let x(g) = -5*a(g) - 3*t(g). Suppose x(u) = 0. What is u?
-29, 0
Let u(f) = -4*f**2 + 7*f**2 + 5*f**3 - 8*f + 2*f**2 - 5. Let t(n) = 4*n**3 + 6*n**2 - 8*n - 6. Let a = -493 - -489. Let v(b) = a*u(b) + 3*t(b). Factor v(h).
-2*(h - 1)*(h + 1)*(4*h + 1)
Let d be ((-14)/4)/((-1)/2). Factor d - 14*g + 59*g**3 + 2*g**4 - 55*g**3 + 10*g - 8*g**2 - 1.
2*(g - 1)**2*(g + 1)*(g + 3)
Let o(a) be the second derivative of a**5/120 - a**4/48 + 28*a**2 - 97*a. Let c(q) be the first derivative of o(q). Factor c(x).
x*(x - 1)/2
Suppose 47*p = 2*p - 13*p - 7*p. Determine l so that 0*l + 9/4*l**4 + 3/4*l**3 + p - 3/2*l**2 = 0.
-1, 0, 2/3
Let i be ((14/28*32)/(-4 - -7))/1. Solve i*c + 64/9*c**2 + 0 + 4/9*c**4 + 28/9*c**3 = 0 for c.
-3, -2, 0
Let s be (1/4)/((-1825)/(-4380)). Factor s - 66/5*f + 63/5*f**2.
3*(f - 1)*(21*f - 1)/5
Solve 95/3*m**2 - 55/2*m - 175/6 + 85/3*m**3 - 5/2*m**4 - 5/6*m**5 = 0 for m.
-7, -1, 1, 5
What is d in 31/3*d**2 - 1/3*d**3 + 136/3*d + 140/3 = 0?
-2, 35
Let x(z) be the second derivative of 3*z**5/100 + 167*z**4/10 + 133*z**3/2 + 498*z**2/5 - 2875*z. Factor x(k).
3*(k + 1)**2*(k + 332)/5
Let k = -322667 - -3549355/11. Factor k*j + 0 - 8/11*j**4 - 84/11*j**2 + 50/11*j**3.
-2*j*(j - 3)**2*(4*j - 1)/11
Determine z, given that 5*z**2 + 937 + 157 - 45 - 1810*z + 756 = 0.
1, 361
Let t(c) be the first derivative of 17 - 144*c + 6*c**2 - 1/12*c**3. Factor t(y).
-(y - 24)**2/4
Let l be 278/(14/4 - (2 - -1)). Let t = l + -6108/11. What is m in 0 + 6/11*m**3 + 2/11*m**5 - t*m**2 - 8/11*m + 8/11*m**4 = 0?
-2, -1, 0, 1
Let y(i) = i + 2. Let a be y(-2). Suppose p + 2*w = 18 + 12, -3*w - 15 = a. Factor -p*g**2 + 15*g**2 + 38*g + 5*g**3 - 15 - 3*g.
5*(g - 3)*(g - 1)**2
Let p(y) = y + 1. Let h(u) = -u + 31. Let x(a) = h(a) - 2*p(a). Let z be x(8). Determine g so that -46 - 46 + z*g**3 - 5*g**4 + 82 + 15*g**2 - 5*g = 0.
-1, 1, 2
Suppose -n + 7*z - 5*z + 1 = 0, 2*n - 2*z = 2. Factor 117*o**2 + n - 1131*o + 5 + 1008*o.
3*(o - 1)*(39*o - 2)
Let i(o) be the first derivative of o**4/102 - 7*o**3/51 - 8*o**2/17 + 100*o - 104. Let q(d) be the first derivative of i(d). Factor q(h).
2*(h - 8)*(h + 1)/17
Let s(a) = -3*a**2 + 429*a + 2178. Let h(w) = 3*w**2 - 425*w - 2172. Let k(t) = -3*h(t) - 2*s(t). Factor k(z).
-3*(z - 144)*(z + 5)
Factor 15/2*o - 5/4*o**3 + 1/8*o**4 + 9/2 + 13/8*o**2.
(o - 6)**2*(o + 1)**2/8
Suppose -21*v + 568 = 484. Solve 0 + 0*j**2 + 0*j + 3/2*j**v - 2/3*j**5 - 1/3*j**3 = 0.
0, 1/4, 2
Let n(y) = -14*y**2 - 2515*y - 396890. Let m(g) = 8*g**2 + 1257*g + 198444. Let z(x) = 5*m(x) + 3*n(x). What is i in z(i) = 0?
-315
Suppose -13*m = -d - 9*m + 32, d = -4*m. Let t(a) be the third derivative of 0 + 1/6*a**4 + 0*a**5 + 0*a - d*a**2 + 0*a**3 - 1/30*a**6. Factor t(c).
-4*c*(c - 1)*(c + 1)
Let c = -129 + 129. Let r be 22/18 + 35 + -36. Find n, given that c*n + 2/9 