n.
0, 3/2, 20
Let c(a) be the first derivative of -a**3 - 21*a**2/2 + 132*a + 1628. Suppose c(k) = 0. What is k?
-11, 4
Factor -327744*z + 149038816 - 46779*z**2 + 50787*z**2 + 1666416*z + 4*z**3.
4*(z + 334)**3
Let k = 6/81715 - -163412/245145. Let i = -74 + 224/3. Factor 0 - k*r - i*r**2.
-2*r*(r + 1)/3
Suppose s**2 - s**4 + 5/4*s + 0 - 3/2*s**3 + 1/4*s**5 = 0. What is s?
-1, 0, 1, 5
Let o(i) be the first derivative of i**5/20 - 9*i**4/16 - 251*i**3/12 - 819*i**2/8 + 539*i/2 + 858. Suppose o(k) = 0. Calculate k.
-7, 1, 22
Let u = 221 - 219. Factor -2*w**u + 84 - 157 - 505 - 68*w.
-2*(w + 17)**2
Let h = 886117/5 + -178702. Let t = h + 1483. Let -t*a**2 + 2/5*a**3 - 10 + 14*a = 0. What is a?
1, 5
Suppose -135*a = -124*a - 165. Let x be 0*(105/14)/a. Factor -21/5*i**2 + x - 12/5*i**3 + 6/5*i.
-3*i*(i + 2)*(4*i - 1)/5
Let y = 1706 - 1994. Let i be (-128)/y*18/4. Find u such that 0*u + 0 - 3/8*u**4 - 3/4*u**3 + 0*u**i = 0.
-2, 0
Let y = -684 + 636. Let d be 8/y*-88 - 3. Factor -d*w - 11/3*w**2 - 1/3*w**3 - 25/3.
-(w + 1)*(w + 5)**2/3
Let c = -358 - -360. Let p be (6/c)/(-33)*-20. What is k in -p*k + 50/11 + 2/11*k**2 = 0?
5
Let u be (13 + -11)*(-2)/(-80). Let t(c) be the first derivative of u*c**4 - 4/15*c**3 + 1/10*c**2 + 37 + 6/5*c. Suppose t(d) = 0. Calculate d.
-1, 2, 3
Let k(z) be the first derivative of -z**3/9 + 63*z**2/2 - 4054. Solve k(d) = 0.
0, 189
Let d(i) = -i**2 - 32*i - 79. Let k be d(-29). Let 4*a**5 + 4*a - 16*a**2 + 0 + 4459*a**4 - 4451*a**4 - k*a**3 + 8 = 0. Calculate a.
-2, -1, 1
Let f be (36/(-5) + 7 + 0)*-1. Let d(v) be the first derivative of 0*v**3 - 10 - 1/4*v**4 + 0*v**2 + 0*v - f*v**5. Factor d(o).
-o**3*(o + 1)
Let t(m) be the first derivative of -m**6/4 - 9*m**5/10 + 2*m**3 - 334. Factor t(w).
-3*w**2*(w - 1)*(w + 2)**2/2
Let m be (-405)/(-126)*3080/1320. Suppose -6 - 9/2*u - 3/2*u**4 + m*u**2 + 9/2*u**3 = 0. What is u?
-1, 1, 4
Let x be -11 + 378/30 + (-4)/(-10). Determine w, given that 8 - x*w**2 + 111*w + 0*w**5 - 22*w**3 - 31*w - 4*w**5 - 29*w**2 - 54*w + 23*w**4 = 0.
-1, -1/4, 1, 2, 4
Let n(g) be the third derivative of -1/16*g**4 + 0 + 0*g - 60*g**2 - 1/120*g**5 - 1/6*g**3. Factor n(v).
-(v + 1)*(v + 2)/2
Suppose 0 = 8*i - g - 43, 24*g + 25 = -2*i + 21*g. What is n in -49/5*n**2 + 39/5*n**3 - 32/5*n + 37/5*n**i - 7/5*n**5 + 12/5 = 0?
-1, 2/7, 1, 6
Let i be (-2628)/660 + 8 - 4. Let d(k) be the second derivative of -21*k + 1/165*k**6 + 0 + 0*k**3 + 0*k**2 + 1/66*k**4 + i*k**5. Factor d(s).
2*s**2*(s + 1)**2/11
Let d = 178 - 173. Factor d*s**2 + 110*s - 64*s + s**3 - 46*s.
s**2*(s + 5)
Let l(i) be the third derivative of i**5/180 - 7*i**4/72 + 2*i**3/3 + 961*i**2. What is d in l(d) = 0?
3, 4
Let k be (-15)/2*(-6)/9. Suppose -k*o - 23 = -43. Factor 65*t**2 + 5*t**5 - 85*t**2 + 0*t**o + 15*t**4.
5*t**2*(t - 1)*(t + 2)**2
Solve 308 - 21*t - 11*t - 324 + 11*t**2 - 4*t**3 - 31*t**2 = 0 for t.
-2, -1
Let g(i) = -9*i**2 - 120*i - 99. Let h(c) = 35*c**2 + 480*c + 399. Let z(b) = 23*g(b) + 6*h(b). Determine f, given that z(f) = 0.
-39, -1
Let r be (-2)/(-7) - -12*(3/(-4) + 3500/3920). Factor 14/5*j**r + 2/5*j**3 + 32/5*j + 24/5.
2*(j + 2)**2*(j + 3)/5
Let l(n) be the first derivative of n**4/26 + 6*n**3/13 - 12*n**2/13 - 40*n/13 + 2317. Factor l(s).
2*(s - 2)*(s + 1)*(s + 10)/13
Suppose 135 = 30*u - 29 + 14. Let o(t) be the first derivative of -10*t + 5/4*t**4 + 5*t**3 - t**u - 5/2*t**2 + 20. Factor o(b).
-5*(b - 2)*(b - 1)*(b + 1)**2
Let f(p) = p**3 + 5*p**2 - 9*p - 16. Let n be f(-6). Find y such that -3*y**3 - 135*y + 108*y**n - 50*y**2 - 112*y**2 = 0.
-15, -3, 0
Let d(o) = o**3 - 35*o**2 - 33*o + 3. Let x = 142 + -145. Let n(w) = -6*w**3 + 174*w**2 + 166*w - 14. Let m(f) = x*n(f) - 14*d(f). Factor m(t).
4*t*(t - 9)*(t + 1)
Let r(c) be the third derivative of -5*c**8/1008 + 5*c**7/126 - c**6/8 + 7*c**5/36 - 5*c**4/36 - 119*c**2 + c - 3. Determine w so that r(w) = 0.
0, 1, 2
Let o(m) be the first derivative of 3/5*m**4 - 2/15*m**6 + 0*m + 53 - 11/15*m**3 + 1/25*m**5 + 1/5*m**2. Find j such that o(j) = 0.
-2, 0, 1/4, 1
Let q(s) be the third derivative of s**7/630 + s**6/30 - 139*s**5/180 + 67*s**4/12 - 20*s**3 - 5*s**2 + 408*s. What is b in q(b) = 0?
-20, 2, 3
Let i(c) be the third derivative of 1/20*c**4 - 41*c**2 - 1/10*c**5 + 0 - c + 0*c**3. Factor i(b).
-6*b*(5*b - 1)/5
Suppose -j + 2*s + 2 = 3*s, 0 = -s. Suppose 5*h + 17 = 4*a + j*h, 0 = -2*h - 6. Factor 1/2*l + 1/2*l**a + 0.
l*(l + 1)/2
Let r(v) = -v**3 + v**2 + 2*v + 3. Let s(j) = j**4 - 6*j**3 + 4*j**2 + 11*j + 15. Let y(p) = 5*r(p) - s(p). Factor y(z).
-z*(z - 1)**2*(z + 1)
What is a in -51/7*a**2 - 3/7*a**4 - 54 - 471/7*a + 39/7*a**3 = 0?
-2, -1, 7, 9
Let k(c) = -20*c**4 + 81*c**3 + 4*c + 2. Let j(x) = 100*x**4 - 403*x**3 - 22*x - 11. Let a(w) = 2*j(w) + 11*k(w). Factor a(z).
-5*z**3*(4*z - 17)
Let f be -3 + (2*(3 - 14/8))/((-239)/(-478)). Solve 2*j - 20/11*j**f - 2/11*j**3 + 0 = 0.
-11, 0, 1
Factor 864397*a**2 - 23468 - 1039978 - 330154*a**2 + 3*a**4 - 526671*a - 2529*a**3.
3*(a - 421)**2*(a - 2)*(a + 1)
Let h(g) be the third derivative of 0*g**3 + 0*g + 2*g**2 - 1/4*g**4 + 1/6*g**5 - 28 + 1/30*g**6. Factor h(b).
2*b*(b + 3)*(2*b - 1)
Let b(j) be the third derivative of -j**8/1008 - 2*j**7/315 + 3*j**6/40 + 7*j**5/90 - 43*j**4/18 + 28*j**3/3 - 456*j**2 - 3. Factor b(m).
-(m - 2)**3*(m + 3)*(m + 7)/3
Factor 576*d**2 - 215*d + 80 - 539*d**2 + 0*d**3 + 97*d + d**3.
(d - 2)*(d - 1)*(d + 40)
Suppose 5*d = 3 + 7, 4*d = -5*v + 78. Suppose v = 124*b - 117*b. Find m such that -4/7 + 10/7*m - 6/7*m**b + 2/7*m**4 - 2/7*m**3 = 0.
-2, 1
Let h be (-24)/((-48)/(-8) + (-6 - 18/24)). Let i be ((-2)/(4 + 0))/(-1). Factor 8*k - i*k**2 - h.
-(k - 8)**2/2
Suppose -1059 = -107*p - 1011 + 380. Let w be 1 + 2 - (-7)/(-7). Find s such that 0 + 2/19*s + 6/19*s**p + 2/19*s**w - 10/19*s**3 = 0.
-1/3, 0, 1
Let c(d) be the second derivative of d**5/40 + 29*d**4/24 - 65*d**3/12 - 93*d**2/4 + 432*d + 1. Suppose c(y) = 0. What is y?
-31, -1, 3
Suppose q**2 - 1/11*q**4 - 4/11*q**3 + 30/11*q + 0 = 0. Calculate q.
-5, -2, 0, 3
Let j(d) be the third derivative of -d**5/20 + 277*d**4/4 + 556*d**3 + 19*d**2 - d - 2. What is c in j(c) = 0?
-2, 556
Let j = 69174 + -138345/2. Factor j*z**2 - 3/4*z - 3/2 + 3/4*z**3.
3*(z - 1)*(z + 1)*(z + 2)/4
Factor -13*j**2 - 10*j**2 + 748*j**3 - 166*j**4 - 206*j**4 + 23*j**2 - j**5.
-j**3*(j - 2)*(j + 374)
Solve -377*j**2 - 2529*j - 351*j**2 + 2518 + 14 + 725*j**2 = 0.
-844, 1
Let s(m) = 2*m**3 + 2*m - 1. Let f(v) = -9*v**3 + 105*v**2 - 234*v + 6. Let d(u) = -f(u) - 6*s(u). Solve d(j) = 0.
-37, 0, 2
Let s(m) be the second derivative of m**6/2160 - 7*m**5/720 + m**3/3 + 5*m**2/2 + 37*m. Let v(r) be the second derivative of s(r). Factor v(u).
u*(u - 7)/6
Determine p, given that 144/17*p**2 + 1908/17 + 2050/17*p + 2/17*p**3 = 0.
-53, -18, -1
Let k(u) be the second derivative of u**6/20 + 459*u**5/20 + 5775*u**4/2 - 11858*u**3 - 3588*u. What is b in k(b) = 0?
-154, 0, 2
Let m(v) be the second derivative of v**7/6 + 23*v**6/36 + 11*v**5/60 - 37*v**4/24 - 16*v**3/9 - v**2/3 + 605*v. Determine h so that m(h) = 0.
-2, -1, -2/3, -1/14, 1
Let d(o) be the first derivative of -15*o**2 - o**5 + 0*o + 15/2*o**4 - 4 + 5/3*o**3. Solve d(b) = 0 for b.
-1, 0, 1, 6
Let q(l) be the first derivative of -1296*l - 72*l**2 - 4/3*l**3 + 50. Factor q(s).
-4*(s + 18)**2
Let d(s) be the first derivative of s**4/12 - 11*s**3/6 + 5*s**2 - 97*s + 69. Let w(a) be the first derivative of d(a). Solve w(v) = 0.
1, 10
Suppose -4*p + 5*u = -3*p - 269, p + 4*u = 296. Let w = p + -282. Let 4/3*g**w - 2/3*g**3 + 2/3*g - 4/3 = 0. Calculate g.
-1, 1, 2
Let d(a) be the first derivative of -27*a - 306*a**2 + 143*a**2 - a**3 - 144 + 154*a**2. Find b such that d(b) = 0.
-3
Factor 559*g - 568*g - 623*g + 10*g + 124 + 10*g**2.
2*(g - 62)*(5*g - 1)
Let p(g) be the second derivative of 2*g**7/49 + 94*g**6/35 + 7419*g**5/140 + 1551*g**4/7 + 2178*g**3/7 + g + 637. Factor p(f).
3*f*(f + 22)**2*(2*f + 3)**2/7
Suppose -486*l - 46 = -509*l. Let q(i) be the second derivative of -2/45*i**6 + 1/90*i**5 + 0*i**3 + 1/21*i**7 + 41*i + 0*i**4 + 0 + 0*i**l. Factor q(x).
2*x**3*(3*x - 1)**2/9
Let b(l) be the third derivative of -1/360*l**6 + 5*l**2 - 2/9*l**3 - 6 + 0*l**4 + 0*l + 1/60*l**5. Solve b(r) = 0 for r.
-1, 2
Let v(r)