that -p*u + 105 + 5/2*u**2 = 0.
3, 14
Let i be (-2409)/803 - (2 + (-181)/60 + -2). Let t(a) be the third derivative of 0*a + i*a**6 + 0 + 0*a**3 + 0*a**5 - 27*a**2 - 1/12*a**4. Factor t(h).
2*h*(h - 1)*(h + 1)
Suppose 3*h - 1130 = -1112. Let k be (-3)/h + (-352)/(-128). Suppose -3*c**2 + 3*c**4 + 0 + k*c - 3/2*c**3 - 3/4*c**5 = 0. What is c?
-1, 0, 1, 3
Let z(q) be the first derivative of -q**6/6 - 6*q**5/5 - 3*q**4 - 10*q**3/3 - 3*q**2/2 + 2031. Factor z(o).
-o*(o + 1)**3*(o + 3)
Let g be (-165)/54*1869/(-1958). Let f(z) be the second derivative of -1/40*z**5 - g*z**3 + 0 - 13/24*z**4 + 49/4*z**2 - 22*z. Factor f(v).
-(v - 1)*(v + 7)**2/2
Let b(z) = z**3 + 30*z**2 + 29*z + 2. Let a be b(-29). Let g be 5184/23256 - a/17. Find y such that -12/19 + 2/19*y**2 + g*y = 0.
-3, 2
Let j(p) be the first derivative of p**5/20 - 7*p**4/8 + 343*p**2/4 - 2401*p/4 - 77. Factor j(i).
(i - 7)**3*(i + 7)/4
Let t(f) be the third derivative of -f**5/150 + 23*f**4/60 + 518*f**3/15 + 424*f**2. Factor t(k).
-2*(k - 37)*(k + 14)/5
Determine z, given that -378 + 192*z - 16/7*z**3 - 124/7*z**2 + 2/7*z**4 = 0.
-9, 3, 7
Let m(j) be the third derivative of -j**5/20 - 448*j**4 - 1605632*j**3 + 2*j**2 + 750*j. Factor m(q).
-3*(q + 1792)**2
Let d be (((-312)/(-56))/13)/((-15)/(-7) - 2). Let z(w) be the second derivative of -12*w**2 + 0 + 1/4*w**4 - w**d - w. Determine f so that z(f) = 0.
-2, 4
Factor -125/2*y**2 + 5/6*y**4 - 25/6*y**3 - 3125/3 + 3125/6*y.
5*(y - 5)**3*(y + 10)/6
Suppose 0 = -36*d + 632 + 160. Let c(s) be the second derivative of 0*s**2 + 0 + 1/30*s**4 + 0*s**3 + d*s. Factor c(t).
2*t**2/5
Solve -50/3 - 55/6*w**5 - 115/6*w**2 - 205/6*w**3 + 215/6*w**4 + 130/3*w = 0 for w.
-1, 10/11, 1, 2
Factor -21*l**4 - 32*l**3 + 50*l**3 + 46*l**3 + 17*l**4 + 228*l**2.
-4*l**2*(l - 19)*(l + 3)
Let n(j) be the first derivative of -j**6/51 + 6*j**5/17 - 63*j**4/34 + 10*j**3/3 - 36*j**2/17 + 876. Determine v, given that n(v) = 0.
0, 1, 4, 9
Let o(k) be the first derivative of 55 + 10/3*k**3 + 0*k**2 + 0*k + 5/4*k**4. Factor o(p).
5*p**2*(p + 2)
Let s(c) be the third derivative of -c**7/42 - 5*c**6/8 - 15*c**5/4 - 25*c**4/24 + 55*c**3 - 289*c**2 - 7*c. Find d, given that s(d) = 0.
-11, -3, -2, 1
Let b(s) = 27*s**4 + 12*s**3 - 15*s**2 + 15. Let x(p) = 7*p**4 - 3*p**3 + 4 + 254*p**2 + 6*p**3 - 258*p**2. Let u(r) = 4*b(r) - 15*x(r). Factor u(d).
3*d**3*(d + 1)
Let v be 1*(-7)/((-28)/8). Let x = -57716 + 57716. Solve -3/5*g**3 + x + 0*g + g**4 - 2/5*g**v = 0 for g.
-2/5, 0, 1
Let a(m) be the second derivative of m**7/140 + 7*m**6/80 + 3*m**5/10 + 87*m**2/2 - 10*m. Let t(d) be the first derivative of a(d). Factor t(c).
3*c**2*(c + 3)*(c + 4)/2
Suppose -5*s = 4*b - 107, 4*s - 4*b = -2*b + 96. Suppose -s*h = -19*h - 216. Solve -4*o**2 + 12*o - 26 - 28 + h = 0 for o.
0, 3
Determine z, given that -1479/8*z + 3/2*z**4 - 321/8*z**3 - 1533/8*z**2 - 279/8 = 0.
-3, -1, -1/4, 31
Let a(h) = -2*h**2 + 19*h - 7. Let z be a(9). Suppose 0 = -0*t + 5*t + q - 15, -16 = -3*t - z*q. Factor 0 + 5 + 3*r**t - 5*r**2 - 3.
-2*(r - 1)*(r + 1)
Let i(r) be the second derivative of r**4/24 + 31*r**3/6 + 861*r**2/4 + 998*r. Determine c, given that i(c) = 0.
-41, -21
Let q(r) be the first derivative of -8*r + 18*r**2 + 77 - 28/3*r**3. Solve q(v) = 0 for v.
2/7, 1
Let j(r) be the third derivative of r**5/12 - 325*r**4/24 - 355*r**3 - 474*r**2 - 1. Let j(z) = 0. Calculate z.
-6, 71
Determine u, given that -40*u + 50*u - 24 - 26*u**2 + 27*u**2 = 0.
-12, 2
Let r be (4 - 3)*(17 - 2)/1. Let v(k) = k**3 + k**2 - k - 1. Let z(j) = 30*j**3 + 144*j**2 + 141*j - 99. Let u(y) = r*v(y) - z(y). Factor u(i).
-3*(i + 2)*(i + 7)*(5*i - 2)
Suppose -5 = i - 25. Factor 17*o**4 - i*o**3 - 31*o**4 + 11*o - 3*o**5 - 2 + 12 + 4*o**2 + o**5 + 11*o.
-2*(o - 1)*(o + 1)**3*(o + 5)
Let a(p) be the first derivative of p**6/75 - p**5/10 - p**4/5 + 11*p - 9. Let d(k) be the first derivative of a(k). Let d(s) = 0. What is s?
-1, 0, 6
Let m be (-20 - (-7 - 13))/((-32)/(-4))*1/3. Find a such that 43/2*a - 1/2*a**2 + m = 0.
0, 43
Let s = 1408 - 257. Let s*f - 8*f**5 + 28*f**4 + 8*f**2 + 6*f**4 - 40*f**3 - 1151*f = 0. What is f?
0, 1/4, 2
Let i = 81 - 78. Suppose -7*f + 2180 = -i*f. Factor -549*j**2 + 7*j + f*j**2 + 1 - 3 - 4*j**3.
-(j + 2)*(2*j - 1)**2
Solve 901*k - 5*k**2 - 5183*k - 2238*k - 2125520 = 0 for k.
-652
Let q(y) be the third derivative of 0 + 4/15*y**5 - 5/6*y**4 + 0*y - 44*y**2 - 1/30*y**6 + 4/3*y**3. Find o such that q(o) = 0.
1, 2
Factor -9*c**5 + 74 - c**4 + 560*c + 32*c**3 - c**4 - 42 + 64 + 184*c**3 + 624*c**2.
-(c - 6)*(c + 2)**3*(9*c + 2)
Let i(t) be the third derivative of -5*t**7/336 + 19*t**6/144 + t**5/12 - 50*t**3/3 - 182*t**2. Let w(u) be the first derivative of i(u). Factor w(r).
-5*r*(r - 4)*(5*r + 1)/2
Let b be (27/12)/(555/370). Find h such that 6*h - 6*h**2 - 9/2*h**3 + 6*h**4 + 0 - b*h**5 = 0.
-1, 0, 1, 2
Let 8/3*c + 0 - 10/3*c**3 + 2*c**2 + 2/3*c**5 - 2*c**4 = 0. What is c?
-1, 0, 1, 4
Factor -354 - 1/2*n**2 + 178*n.
-(n - 354)*(n - 2)/2
Suppose -1304/7*o - 4/7*o**2 + 0 = 0. Calculate o.
-326, 0
Let i(d) = -85*d**3 + 451*d**2 + 212*d + 23. Let m(p) = 4*p**3 - p**2 + 1. Let c(h) = -65*h + 133. Let z be c(2). Let b(o) = z*m(o) + 3*i(o). Factor b(u).
-3*(u - 6)*(9*u + 2)**2
Let t(k) be the third derivative of 0 - 9/8*k**4 + 0*k + 2*k**3 - 76*k**2 + 1/4*k**5. Factor t(j).
3*(j - 1)*(5*j - 4)
Let o(x) be the second derivative of 0*x**3 + 1/50*x**6 - 1/20*x**4 + 1/70*x**7 + 0*x**2 - 3/100*x**5 + 11*x + 0. Determine h, given that o(h) = 0.
-1, 0, 1
Let h(s) be the first derivative of s**6/105 - 3*s**5/35 + s**4/42 + 8*s**3/7 + 16*s**2/7 + 6*s - 38. Let t(i) be the first derivative of h(i). Factor t(d).
2*(d - 4)**2*(d + 1)**2/7
Let f = 61169/5770 + -292/2885. Find j, given that -6 - f*j + 255/4*j**2 = 0.
-4/17, 2/5
Let j = 276 + -267. Solve 58 + 0 + p**2 + j - 25*p - 21 = 0.
2, 23
Let q(w) be the third derivative of 0*w**4 - 1/24*w**6 + 0*w**3 + 0 + 2*w**2 - 17*w - 1/6*w**5. Suppose q(c) = 0. Calculate c.
-2, 0
Let i(b) be the third derivative of -b**5/15 + 689*b**4 - 2848326*b**3 - 3*b**2 - 197*b + 2. What is f in i(f) = 0?
2067
Let x = 23319 + -23298. Let g(q) be the first derivative of -x - 6/5*q**2 - 4/5*q + 16/15*q**3. Let g(b) = 0. What is b?
-1/4, 1
Let l(g) = -3*g**3 - 437*g**2 + 607*g + 523. Let r(t) = -2*t**3 - 217*t**2 + 304*t + 261. Let s(a) = -3*l(a) + 7*r(a). Determine c so that s(c) = 0.
-43, -3/5, 2
Let y(m) be the third derivative of -m**5/10 + 67*m**4/8 - m**3/2 + 34*m**2. Let n(r) = 5*r**2 - 199*r + 2. Let l(a) = 3*n(a) + 2*y(a). Factor l(v).
3*v*(v - 65)
Let n be (-31)/((-4216)/6018) + -42. Suppose 1/2*q**3 + 1/4*q**5 - n - 5/4*q**4 - 3/4*q + 7/2*q**2 = 0. Calculate q.
-1, 1, 3
Factor -2922475 - 7326*t - 71*t**2 - 2987187 + 1437139 + 68*t**2.
-3*(t + 1221)**2
Let s = 529 + -229. Let m = s + -295. Factor 3/8*t**m + 27/8*t + 0 + 3*t**4 + 9*t**2 + 33/4*t**3.
3*t*(t + 1)**2*(t + 3)**2/8
Let g(i) be the first derivative of 5*i**4/4 + 5640*i**3 + 9542880*i**2 + 7176245760*i + 3640. Find p such that g(p) = 0.
-1128
Suppose 37*p = 2704 - 1779. Let x = 0 + 2. What is k in 18*k + p - 14*k**x - 21*k**2 + 2 + 38*k**2 = 0?
-3
Let v(c) be the first derivative of c**6/24 - 93*c**5/10 + 9345*c**4/16 - 15842*c**3/3 + 1959. Determine n so that v(n) = 0.
0, 8, 89
Suppose -28*z + 12 = -25*z. Find o, given that -8*o**3 + 26 + 7*o**z - 3*o**4 - 26 + 4*o**5 = 0.
-2, 0, 1
Let h(t) be the second derivative of t**6/600 - 9*t**5/25 + 162*t**4/5 + 31*t**3/2 + 3*t + 56. Let p(x) be the second derivative of h(x). Factor p(w).
3*(w - 36)**2/5
Let s = -10289 + 10289. Let f(r) be the second derivative of -2/51*r**3 + 0*r**2 + s + 5*r + 7/102*r**4 - 7/255*r**6 + 1/85*r**5. Suppose f(l) = 0. Calculate l.
-1, 0, 2/7, 1
Let d be ((-21)/(-14))/((-12)/(-40)). Suppose -3*y = -d*l + 6*l - 3, -y = -5*l - 17. Factor -1/6*g**y - 1/2*g + 0.
-g*(g + 3)/6
Let c(z) be the first derivative of 12/7*z**2 + 2/21*z**3 + 177 + 0*z. Factor c(f).
2*f*(f + 12)/7
Let v(y) be the third derivative of y**7/105 - 43*y**6/240 + 29*y**5/24 - 47*y**4/16 - 15*y**3/4 - 19*y**2 + 3*y + 2. Factor v(a).
(a - 5)*(a - 3)**2*(4*a + 1)/2
What is r in 16562/5*r**3 - 6625/2*r - 8788/5*r**4 + 195*r**2 + 3125/2 = 0?
-1, 25/26
Suppose 27*m - 10*m - 170 = 0. Let q be 10 + 1