+ 321*j - 210 + j**5 + 51*j**4 + 153*j**2 + 96*j**4 - 154 + 127*j - 449*j**3 = 0. Calculate j.
-150, -1, 1, 2
Find d, given that -18*d + 928/5 + 2/5*d**2 = 0.
16, 29
Let u(o) be the second derivative of o**4/48 + 41*o**3/8 - 80*o**2 + 1018*o. Factor u(l).
(l - 5)*(l + 128)/4
Let j = 3284/21 + -3266/21. Find r, given that 2/7*r**3 + 4/7 - j*r**2 - 2/7*r + 2/7*r**4 = 0.
-2, -1, 1
Let n = -3623/5 - -10879/15. Let f(b) be the third derivative of n*b**3 - 1/36*b**4 + 0 + 23*b**2 - 1/90*b**5 + 0*b. Suppose f(m) = 0. What is m?
-3, 2
Let v = -259138 + 777416/3. Let p = 17/45 - 2/45. Factor -v*k**2 + 0 + p*k**3 + 0*k + 1/3*k**4.
k**2*(k - 1)*(k + 2)/3
Let l = -5375582/13 - -413510. Factor l*g - 2/13*g**2 + 50/13.
-2*(g - 25)*(g + 1)/13
Let f = -8566 - -13699. Solve 4*b**2 + f + 643 + 452*b - 148*b = 0 for b.
-38
Let a(h) = -21*h**3 + 2193*h**2 + 4437*h + 2211. Let q(x) = 3*x**3 + 3*x**2 - x + 1. Let m(w) = -a(w) - 6*q(w). Factor m(g).
3*(g - 739)*(g + 1)**2
Let v be (8/(-18))/((-66)/2079). Factor -190*u - 928 - 114*u - 16*u**2 + v - 530.
-4*(2*u + 19)**2
Let v(j) be the first derivative of -3*j**4/4 + 20*j**3 - 57*j**2/2 - 214. Factor v(a).
-3*a*(a - 19)*(a - 1)
Factor 1/3*m**2 - 7*m + 104/3.
(m - 13)*(m - 8)/3
Let k(a) be the second derivative of a**7/63 - 4*a**6/15 + 3*a**5/2 - 29*a**4/9 + 8*a**3/3 - 3208*a + 2. Determine d, given that k(d) = 0.
0, 1, 4, 6
Let w(m) be the first derivative of 2*m**5/15 + 47*m**4/6 + 30*m**3 + 133*m**2/3 + 88*m/3 + 11010. Determine z so that w(z) = 0.
-44, -1
Suppose 4*x = 2*o - 38, -5*o - 44 = -3*x - 139. Suppose -o*b + 11*b = 0. Solve -5/4*k**3 + b*k - 1/4*k**5 + 0 + 1/2*k**2 + k**4 = 0 for k.
0, 1, 2
Let j(p) be the third derivative of -p**5/570 + 4*p**4/57 - 21*p**3/19 - 571*p**2 + p. Find r, given that j(r) = 0.
7, 9
Let b(l) be the first derivative of l**6/900 + 7*l**5/100 + l**3/3 - 29*l**2/2 + 50. Let v(p) be the third derivative of b(p). Factor v(f).
2*f*(f + 21)/5
Let a(l) be the first derivative of 33*l**5/5 + 1515*l**4/4 + 7875*l**3 + 131625*l**2/2 + 101250*l - 13869. Find p such that a(p) = 0.
-15, -10/11
Let p(m) be the second derivative of 138*m + 1/14*m**7 - 7/4*m**4 + 0*m**2 + 0 + 7/10*m**6 - 27/20*m**5 + 4*m**3. Suppose p(l) = 0. What is l?
-8, -1, 0, 1
Let w(j) be the first derivative of 736*j**2 + 192*j + 196/5*j**5 + 20 + 1088*j**3 + 420*j**4. Factor w(m).
4*(m + 2)*(m + 6)*(7*m + 2)**2
Factor -11*n**3 - 28*n**3 + 112*n**2 - 28*n**4 - 32*n**2 - n - 42*n**2 - 50*n**2.
-n*(n + 1)*(4*n + 1)*(7*n + 1)
Let w = 144102 + -144099. Factor 6/5*s**w + 0 + 14*s**2 - 24/5*s.
2*s*(s + 12)*(3*s - 1)/5
Factor 8/9 + 14/9*i**3 + 4*i**2 + 10/3*i.
2*(i + 1)**2*(7*i + 4)/9
Let v(b) = -50*b**2 + 370*b + 370. Let h(o) = 29*o**2 - 185*o - 184. Let l(d) = -5*h(d) - 3*v(d). Find y such that l(y) = 0.
-1, 38
Let q be ((-3430)/60)/(-49) + (20/6)/10. Suppose -18 + 21/2*s**2 + 6*s + q*s**3 = 0. What is s?
-6, -2, 1
Suppose -2*y + 6 = 0, -3*n + 8*n = 4*y + 53. Let u be -7 + (-5)/25*-235. Find d, given that u*d + 7 + n*d**3 + d**3 + 1 + 46*d**2 = 0.
-2, -1, -2/7
Let a(v) be the first derivative of -v**5/25 + 7*v**4/20 + v**3/5 - 19*v**2/10 - 14*v/5 - 5477. Determine b, given that a(b) = 0.
-1, 2, 7
Let n(d) be the first derivative of -d**4/36 - 16*d**3/9 - 31*d**2/6 - 156*d - 150. Let l(z) be the first derivative of n(z). Find o such that l(o) = 0.
-31, -1
Suppose 0*h**4 + 2*h**4 - 432 + 792*h - 1450*h**2 - 43*h**3 + 1615*h**2 = 0. What is h?
-3, 1/2, 12
Let c be (-10*1218/(-36))/(2/6). Find p such that -15*p - 508*p**5 - 6*p**2 + c*p**5 - 3*p**4 - 510*p**5 + 18*p**3 + 9 = 0.
-3, -1, 1
Suppose -76/3*t + 2/3*t**2 + 0 = 0. Calculate t.
0, 38
Solve -118803 - 398*t**3 + 398*t + 356408/3*t**2 + 1/3*t**4 = 0 for t.
-1, 1, 597
Let s be ((-44)/33*2)/((-8)/18). Suppose 2*f - 5*w + 34 = 28, 2*w - s = -f. Factor 3/5*d**f - 6/5 - 3/5*d.
3*(d - 2)*(d + 1)/5
Let x = -1117 + 1158. Suppose 12*p - x = -17. Suppose -a**p - 1/6*a**4 - 1/6 - 2/3*a**3 - 2/3*a = 0. What is a?
-1
Let h(l) be the second derivative of -10/3*l**3 + 0*l**2 - l**4 + 0 + 46*l - 1/20*l**5. Factor h(u).
-u*(u + 2)*(u + 10)
What is w in 36/5*w + 2/15*w**5 + 14*w**2 + 2*w**4 + 0 + 26/3*w**3 = 0?
-9, -3, -2, -1, 0
Let p(q) be the third derivative of q**9/12096 - q**8/1008 - q**7/1008 + q**6/36 - 13*q**5/15 - 53*q**2. Let m(j) be the third derivative of p(j). Factor m(c).
5*(c - 4)*(c - 1)*(c + 1)
Suppose -12 - 88 = -4*h - o, 4*o - 16 = 0. Suppose -11*w + 8*w - 29*w = 0. Factor 8*c**2 + w*c**3 + 93*c**3 + h*c**2 - 9*c**3 - 16*c.
4*c*(3*c + 2)*(7*c - 2)
Let f(p) be the third derivative of p**5/420 + 73*p**4/84 - 149*p**3/14 + 189*p**2 + 2. Determine u so that f(u) = 0.
-149, 3
Let d(v) be the third derivative of -v**5/12 - 295*v**4/24 + 50*v**3 + 2*v**2 - 1012*v. Determine c, given that d(c) = 0.
-60, 1
Factor -164 - 340 + 64222*p - 3*p**2 - 64045*p.
-3*(p - 56)*(p - 3)
Let a be 6*5/36*39/26. Let s(h) be the first derivative of a*h**4 - 5*h**3 + 20*h + 28 + 0*h**2. Factor s(p).
5*(p - 2)**2*(p + 1)
Factor -2/7*h**2 + 96/7 + 4/7*h.
-2*(h - 8)*(h + 6)/7
Suppose -3 = 2*c - x, -3*x + 11 = -14*c + 9*c. Let o(t) be the second derivative of -5*t**5 - 16*t**2 + 50/3*t**4 + 8/3*t**3 + 0 + c*t. Factor o(y).
-4*(y - 2)*(5*y - 2)*(5*y + 2)
Solve 432 - 3/2*w**4 + 18*w**2 - 27*w**3 + 348*w = 0.
-18, -2, 4
What is u in -48/5*u**4 + 1014*u**2 + 0*u + 273/5*u**3 + 0 - 3/5*u**5 = 0?
-13, 0, 10
Let i(x) = -x**3 + 6*x**2 + 11*x - 7. Let h be i(7). Suppose 8*m = -69 + 109. Factor h*q**2 + 10*q**3 - q**4 + 9*q + m*q**3 + 4*q**4.
3*q*(q + 1)**2*(q + 3)
Let n(c) be the third derivative of -c**7/1785 + 49*c**6/510 - 2677*c**5/510 + 1127*c**4/17 - 6348*c**3/17 - 2*c**2 + 1715*c. Factor n(q).
-2*(q - 46)**2*(q - 3)**2/17
Let p(t) be the second derivative of -8/3*t**2 + 0 + 150*t - 17/18*t**3 - 1/36*t**4. Factor p(b).
-(b + 1)*(b + 16)/3
Let t be (-45 - 10248/(-224))/6. What is p in -3/4 - t*p**2 - 5/8*p = 0?
-3, -2
Let z = -243 + 357. Factor -z*t**2 - 96*t**3 + 273*t**2 - 93*t + 20 - 2 + 12*t**4.
3*(t - 6)*(t - 1)*(2*t - 1)**2
Let z = 36926/1335 + -836/89. Let v = z + -58/5. Factor -v*q - 4/3*q**2 - 8.
-4*(q + 2)*(q + 3)/3
Let u(z) be the third derivative of -z**6/40 + 29*z**5/4 + 74*z**4 + 298*z**3 - 3429*z**2. Factor u(g).
-3*(g - 149)*(g + 2)**2
Let l(b) be the first derivative of -4/5*b**4 + 18/5*b + 2/25*b**5 + 186 + 8/5*b**2 - 4/3*b**3. Solve l(k) = 0 for k.
-1, 1, 9
Let w be (20/2275)/((-4)/(-6770)) - (-3540)/(-11505). Factor 4/7 - 62/7*k - w*k**2.
-2*(3*k + 2)*(17*k - 1)/7
Let t(g) be the first derivative of -4*g**5/105 + 11*g**4/42 - 3*g**3/7 - 16*g**2 - g - 17. Let k(z) be the second derivative of t(z). Factor k(m).
-2*(2*m - 1)*(4*m - 9)/7
Determine h so that 14*h**3 + 1/3*h**4 + 418*h + 508/3*h**2 - 1805/3 = 0.
-19, -5, 1
Let c be (-1530)/(-25) + -15*(-2)/9*405/(-225). Let 522/5*x - 596/5*x**2 + c*x**3 - 42/5*x**4 + 2/5*x**5 - 162/5 = 0. What is x?
1, 9
Let o(i) be the second derivative of i**7/420 + i**6/60 + i**5/24 + i**4/24 - 106*i**2 + 35*i. Let w(a) be the first derivative of o(a). Factor w(v).
v*(v + 1)**2*(v + 2)/2
Let n(k) be the third derivative of k**9/13608 - k**7/540 - k**6/270 - 36*k**3 + 2*k**2 + 71. Let w(m) be the first derivative of n(m). What is v in w(v) = 0?
-2, -1, 0, 3
Suppose -4 = r, -2*r + 106 = -4*u + 122. Let n(k) be the first derivative of 0*k**u - 35/3*k**3 + 15/4*k**4 + 20*k - 8. Suppose n(q) = 0. Calculate q.
-2/3, 1, 2
Let z(q) be the third derivative of -q**8/560 - 137*q**7/1050 + 49*q**6/600 + 137*q**5/300 - 23*q**4/60 + 1881*q**2. Suppose z(o) = 0. Calculate o.
-46, -1, 0, 1/3, 1
Let t(f) = f**4 - 82*f**3 + 2*f**2 + 91*f + 12. Let i(r) = r**4 + 2*r**3 + r + 4. Let w(q) = 3*i(q) - t(q). Let w(a) = 0. What is a?
-44, -1, 0, 1
Suppose -8/3*z**4 - 218/3*z**3 + 938/3*z**2 + 248/3*z + 0 = 0. Calculate z.
-31, -1/4, 0, 4
Let d(x) be the third derivative of -6*x**3 - 1/10*x**6 + 13/20*x**5 + 1/2*x**4 - 1/70*x**7 + 0*x - 78*x**2 + 0. Let d(w) = 0. What is w?
-6, -1, 1, 2
Let l(z) be the second derivative of z**6/70 + 213*z**5/140 + 69*z**4/28 - 71*z**3/14 - 15*z**2 - 519*z. What is u in l(u) = 0?
-70, -1, 1
Let -3074/13*k**4 - 4288/13*k + 10/13*k**5 + 1224/13 + 1850/13*k**2 + 4278/13*k**3 = 0. Calculate k.
-1, 2/5, 1, 306
Let b(q) be the first derivative of 16 + 1/