/12 + 121*h/2 + 4333. Factor v(u).
(u - 11)**2*(u + 3)/6
Suppose -443*b + 435*b + 16 = 0. Suppose 2*t**2 + 2*t**b + 1789 - 1933 - 140*t = 0. Calculate t.
-1, 36
Let v(k) = 2*k**4 + 2*k**3 - 24*k**2 - 60*k - 36. Let m(r) = -r - 1. Let u(q) = 4*m(q) - v(q). Factor u(f).
-2*(f - 4)*(f + 1)*(f + 2)**2
Determine p, given that -11/2*p**3 - 26*p + 44*p**2 - 9/2*p**4 - 8 = 0.
-4, -2/9, 1, 2
Let i(j) be the first derivative of -j**6/18 + 11*j**5/30 - 7*j**4/9 + 4*j**3/9 + 48*j + 61. Let m(l) be the first derivative of i(l). Factor m(s).
-s*(s - 2)**2*(5*s - 2)/3
Let h = 817 - 574. Let x = h + -241. Let 9/2 + 1/2*p**x - 3*p = 0. Calculate p.
3
Let l(d) be the third derivative of d**6/90 + 11*d**5/15 + 20*d**4/3 + 245*d**3/6 + 4*d**2 - 10*d. Let o(a) be the first derivative of l(a). Factor o(p).
4*(p + 2)*(p + 20)
Let j(z) be the first derivative of -4/3*z**5 - 1/9*z**6 + 158 + 2*z**4 + 20/9*z**3 - 11/3*z**2 + 0*z. Suppose j(q) = 0. What is q?
-11, -1, 0, 1
Suppose 0 = 54*t - 55*t + 8. Factor 7*x + 0*x**2 - 11*x + 2*x**2 - t + 2.
2*(x - 3)*(x + 1)
Let q = -29/60 - -9/20. Let s = 13/90 + q. Factor 2/9 + 1/3*c + s*c**2.
(c + 1)*(c + 2)/9
Let i(n) be the first derivative of -3*n - 2*n**2 - 13 - 2/9*n**3 + 1/36*n**4. Let q(o) be the first derivative of i(o). Find l such that q(l) = 0.
-2, 6
Factor -21*s**2 + 2*s**5 + 49*s**3 + 27*s + s**5 + 17*s**3 + 53*s**2 + 40*s**2 + 24*s**4.
3*s*(s + 1)**2*(s + 3)**2
Let x be 30/((-22)/(-10) + (1 - 102/85)). Find j, given that -35/4 - x*j - 25/4*j**2 = 0.
-7/5, -1
Solve -19/2*j**3 + 3/4*j**2 + 19 + 29*j - 1/4*j**4 = 0.
-38, -1, 2
Find r such that -58*r**3 - 8*r**4 - 42*r**3 + 30*r**3 - 2*r**5 + 54*r**4 + 26*r**4 = 0.
0, 1, 35
Let q(m) be the second derivative of 3*m**5/80 + 449*m**4/8 + 201601*m**3/8 - 1936*m. Find c, given that q(c) = 0.
-449, 0
Factor -184/3 - 18*p - 2/3*p**2.
-2*(p + 4)*(p + 23)/3
Let u(v) be the first derivative of 3*v**5/10 + 45*v**4/8 - 17*v**3/2 - 45*v**2/4 + 24*v + 103. Determine c so that u(c) = 0.
-16, -1, 1
Let r(f) be the first derivative of 0*f**2 + 4/3*f**3 + 0*f + 46. Suppose r(j) = 0. What is j?
0
Let o(f) = 286*f - 15441. Let p be o(54). Suppose -47/3*z**2 + 91/3*z + 1/3*z**p - 15 = 0. What is z?
1, 45
Let w be -2*(-3)/(-6) + 5. Find t, given that 3*t**5 + 10*t**4 + 167*t**2 + t**5 - 159*t**2 + 6*t**w + 20*t**3 = 0.
-2, -1, 0
Let l be -10*2/(60/(-18)) + -3. Let s(g) be the second derivative of 5/6*g**4 - 1/3*g**6 + 0*g**2 + 0*g**l + 0 + 5/42*g**7 - 15*g - 1/4*g**5. Factor s(o).
5*o**2*(o - 2)*(o - 1)*(o + 1)
Let z be 2/(-30)*-1 + (-541)/15. Let c be 15/120 - z/224. Find h, given that -20/7*h - c*h**2 + 0 = 0.
-10, 0
Let l = -1418339 - -1418342. Factor 18 - 71/2*d + 17*d**2 + 1/2*d**l.
(d - 1)**2*(d + 36)/2
Let j(z) = z**2 + 15*z - 65. Let b be j(-19). Suppose b*o = -133 + 221. What is s in 1 + 20*s**2 + o*s**3 + 17/2*s = 0?
-2, -1/4
Let p(l) be the third derivative of -l**7/105 + 19*l**6/30 - 12*l**5/5 - 8604*l**2. Determine s so that p(s) = 0.
0, 2, 36
Let t(k) be the first derivative of k**6/15 - 62*k**5/5 + 3039*k**4/5 - 10324*k**3/15 - 29183*k**2/5 - 35574*k/5 - 7496. What is j in t(j) = 0?
-1, 3, 77
Factor -6*j - 4 - 14/9*j**2.
-2*(j + 3)*(7*j + 6)/9
Let s = -25943 + 233489/9. Let a(y) be the second derivative of 0 + 1/2*y**2 - 41*y - 1/18*y**4 + s*y**3 - 1/90*y**6 - 1/15*y**5. Let a(d) = 0. Calculate d.
-3, -1, 1
Let t = -122 - -125. Let u be ((-14)/t)/(-7)*6. Factor -70*d**2 - 25*d - 52*d**2 - 5*d**u - 15*d**3 + 167*d**2.
-5*d*(d - 1)**2*(d + 5)
Let s(q) be the third derivative of 0*q**3 - 9/40*q**5 - 1/20*q**6 - 1/8*q**4 + 9*q**2 + 0*q + 6. Solve s(m) = 0 for m.
-2, -1/4, 0
Let q(s) be the second derivative of -4/5*s**4 + 3/5*s**3 + 0*s**2 - 2/75*s**6 + 13/50*s**5 - 4*s - 5. Factor q(j).
-2*j*(j - 3)**2*(2*j - 1)/5
Let g = -54220057 - -143845813537/2653. Let v = -6/379 + g. Find n such that -10/7*n**3 + v*n + 4/7*n**5 - 4/7 - 6/7*n**4 + 10/7*n**2 = 0.
-1, 1/2, 1, 2
Let h(m) be the third derivative of 13 - 2*m**2 + 1/540*m**6 + 5/108*m**4 - 1/45*m**5 + 0*m + 0*m**3. Factor h(l).
2*l*(l - 5)*(l - 1)/9
Suppose b - 5*n - 231 = 4*b, -385 = 5*b - 3*n. Let y = 84 + b. Factor -77*s**2 - 3*s**3 + 2 - 4*s**3 + 9*s**4 + y*s + 66*s**2.
(s - 1)**2*(s + 1)*(9*s + 2)
Suppose -32*p = -36*p - 4. Let y = 3 + p. Factor -101*k**3 - 3*k**y + 21*k**2 + k**4 + k**4 + 91*k**3 - 14*k + 4.
2*(k - 2)*(k - 1)**3
Factor 27/4*d**2 + 171/4*d + 51/2.
3*(3*d + 2)*(3*d + 17)/4
Find u, given that -5257*u**4 - 59400*u**2 - 2356*u**5 + 1159*u**5 - 41044*u**3 + 54144*u + 1161*u**5 - 551*u**4 - 9856 = 0.
-154, -4, 1/3
Let i(z) be the third derivative of -8*z**5/165 - 262*z**4/33 - 17161*z**3/33 - 1570*z**2. Find u, given that i(u) = 0.
-131/4
Suppose 1/4*z**2 - 107/4 - 53/2*z = 0. What is z?
-1, 107
Let l(n) = -416*n**3 - 190*n**2 - 342*n + 17318. Let z(k) = -125*k**3 - 63*k**2 - 114*k + 5773. Let j(g) = -3*l(g) + 10*z(g). Factor j(q).
-2*(q - 8)*(q + 19)**2
Let s(a) be the second derivative of -15*a + 0 - 11/6*a**3 + 121/4*a**2 + 1/24*a**4. Determine f, given that s(f) = 0.
11
Let z(x) = x**2 + 3*x - 1. Let i be ((-24)/18)/(-4) + (-13)/3. Let j be z(i). Factor -7*t - j*t**3 + 15*t - 21*t**2 - 8*t.
-3*t**2*(t + 7)
Let z(x) be the third derivative of -1/300*x**5 - 125/6*x**3 + 2*x**2 - 5/12*x**4 + 14*x + 0. Suppose z(m) = 0. What is m?
-25
Let r(q) = -5*q**3 + 93*q**2 - 106*q + 18. Let i be r(1). Factor 2/9*v**4 + 0*v**2 + i - 10/9*v**3 + 0*v.
2*v**3*(v - 5)/9
Let g(m) be the third derivative of m**7/350 - 19*m**6/200 - 33*m**5/50 + 1233*m**2. Factor g(w).
3*w**2*(w - 22)*(w + 3)/5
Suppose 3*m = -b - 11, -1 = 3*b + 3*m + 2. Factor -12 - p**4 - 5285*p + 4*p**5 + 5305*p + 8*p**2 + 5*p**b - 24*p**3.
4*(p - 1)**3*(p + 1)*(p + 3)
Suppose -2*r - 6 = -16. Let 20*q**4 + 142*q**5 + 148*q**r - 442*q**5 + 147*q**5 = 0. Calculate q.
0, 4
Let h(w) be the second derivative of w**5/20 + w**4 + 37*w**2/2 + 33*w. Let m(a) be the first derivative of h(a). Factor m(b).
3*b*(b + 8)
Suppose -28*t - 1039 = -283. Let h = -241/9 - t. Factor 0 + h*i + 4/9*i**2 + 2/9*i**3.
2*i*(i + 1)**2/9
Let d(v) = -10635*v**3 + 63790*v**2 - 96875*v + 2100. Let y(r) = 818*r**3 - 4907*r**2 + 7452*r - 162. Let x(i) = -3*d(i) - 40*y(i). Factor x(s).
-5*(s - 3)**2*(163*s - 4)
Suppose 85 = -7*n + 64. Let t be n/(-6)*0/(-9). Determine k so that 4/13*k**2 - 10/13*k**4 - 6/13*k**3 + 0 + t*k = 0.
-1, 0, 2/5
Let k be (-6*3/(-3))/(6/(-4)). Let j(l) = 12*l**2 + 26*l + 20. Let s(t) = t**3 - 23*t**2 - 50*t - 41. Let x(v) = k*s(v) - 10*j(v). Factor x(m).
-4*(m + 1)*(m + 3)**2
Let l be 3 - 22/((6 + -5)/(-1)). Solve -192 - 64*s + 3031*s**3 + 2*s**4 - 3013*s**3 + l*s**2 + 11*s**2 = 0.
-4, -3, 2
Let y be 21/(567/(-237)) - -9. Suppose 2/3*d**2 + 4/9*d - 2/3*d**4 - 2/9*d**3 + 0 - y*d**5 = 0. What is d?
-2, -1, 0, 1
Let t(l) = 2*l**3 + 23*l**2 - 174*l + 223. Let s be t(-17). Find b such that 4/5*b - 1/5*b**s - 3/5 = 0.
1, 3
Let f(n) be the first derivative of n**4/8 - 10*n**3 - 31*n**2 - 1168. Factor f(v).
v*(v - 62)*(v + 2)/2
Suppose -5*f + 109333 = 109323. Let 1/4*i**f + 0*i + 0 = 0. What is i?
0
Let s(h) be the third derivative of -h**8/546 + 76*h**7/1365 - 193*h**6/780 + 2*h**5/195 + 47*h**4/39 + 64*h**3/39 - 1454*h**2 - h. Solve s(j) = 0.
-1/2, 2, 16
Let a be ((-2088)/459 - (-38)/(-323) - -5)*(5 - -1). Find h such that 3/5 - 11/5*h**a - h**3 + 13/5*h = 0.
-3, -1/5, 1
Let m = -3 + 7. Suppose -2*z = -4*z + m. Find g, given that 8*g**2 - g**z + 35*g + 15 + 5*g**3 + 18*g**2 = 0.
-3, -1
Let b(u) = -2*u + 1. Let n(v) = -v**2 + 10*v - 47. Let c(g) = -44*b(g) - 4*n(g). Find x, given that c(x) = 0.
-6
Suppose 16 = -16*q + 64. Determine z so that 5*z**2 + 10*z**3 - 1 - 24*z**q - 5*z - 4 + 9*z**3 + 10*z**3 = 0.
-1, 1
Let k(f) be the second derivative of 1/30*f**6 + 0*f**3 + 0*f**2 - 80*f - 3/4*f**4 + 0 + 0*f**5. Factor k(w).
w**2*(w - 3)*(w + 3)
Let z(d) be the third derivative of d**5/30 - 27*d**3 + 14*d**2 - 12*d. Determine k so that z(k) = 0.
-9, 9
Let m(b) be the first derivative of 2*b**5/25 - 48*b**4/5 + 782*b**3/5 - 2062*b**2/5 + 1968*b/5 + 12323. Solve m(f) = 0.
1, 12, 82
Find n such that 815 + 4*n**4 + 10*n**4 + 196*n - 4*n**4 + 1008*n**2 - 8361 + 188*n**3 = 0.
-7, 11/5
Let c = 7900 + -7900. Let z(t) be the third derivative of c - 1/270*t**5 - 2/9*t**3 - 15*t**2 + 0*t - 7/