*2 + 2*n. Let r(i) = -i**3 - i**2 - i. Let w(l) = h*p(l) - 4*r(l). Suppose w(d) = 0. What is d?
0, 2/5, 2
Suppose 0 = 5*b + 2*w - 25, 2945*b - 2949*b - w + 20 = 0. Let 22/3*t**2 + 2/9 + 16*t**b + 76/9*t**3 - 88/3*t**4 - 8/3*t = 0. Calculate t.
-1/2, 1/6, 1
Let t = 45 + -43. Let 2856*r + 9 - 2849*r - r**t + 6 + 3 = 0. Calculate r.
-2, 9
Let f(g) be the second derivative of -g**5/110 + 167*g**4/33 + g**3/33 - 334*g**2/11 - 79*g. Let f(m) = 0. Calculate m.
-1, 1, 334
Let x(f) be the second derivative of -1/15*f**4 + 0 + 13*f + 0*f**3 - 1/25*f**5 - 1/150*f**6 + 10*f**2. Let b(c) be the first derivative of x(c). Factor b(p).
-4*p*(p + 1)*(p + 2)/5
Suppose -29*x = 12*x - 217 + 12. Let q(c) be the first derivative of 2/27*c**3 + 0*c + 1/36*c**4 + 0*c**2 - 23 - 1/45*c**x. Factor q(o).
-o**2*(o - 2)*(o + 1)/9
Let d(n) be the first derivative of -4*n**5/45 - 7*n**4/18 - 14*n**3/27 - 2*n**2/9 - 771. Find z, given that d(z) = 0.
-2, -1, -1/2, 0
Let x(j) = 15*j + 62. Let n be x(-4). Let -2*s**3 - 29*s**3 + 4*s**4 + 39*s**3 - 24*s - 16*s**n - 4*s**2 = 0. What is s?
-3, -1, 0, 2
Let y(g) = -4*g**3 - 24*g**2 + 4*g - 8. Let n = 228 + -236. Let a(j) = -3*j**3 - 16*j**2 + 2*j - 5. Let l(o) = n*a(o) + 5*y(o). Solve l(i) = 0.
-1, 0
Let m(x) be the second derivative of x**4/24 - 1259*x**3/6 + 1585081*x**2/4 - 4775*x. Factor m(p).
(p - 1259)**2/2
Let r be 20*162/(-15)*6/1. Let m = r - -1298. Factor 4/9*k**m + 2/9*k**3 - 2/3*k + 0.
2*k*(k - 1)*(k + 3)/9
Let y = -44321/6 + 7387. Let x(m) be the third derivative of -1/8*m**4 + 13/240*m**5 - 1/80*m**6 + 1/840*m**7 + 7*m**2 + 0 + 0*m + y*m**3. Solve x(h) = 0.
1, 2
Let c = -14118 + 14118. Let v(w) be the first derivative of -17 + c*w + w**3 + 27/4*w**2 + 1/24*w**4. Suppose v(d) = 0. Calculate d.
-9, 0
Suppose -17*q - 1068 = -5*q. Let f = 91 + q. Factor -44*t - 712 + f*t**2 + 470 - 4*t**2.
-2*(t + 11)**2
Let h(p) be the second derivative of -p**7/1260 - p**6/60 - p**4/6 - 4*p**2 + 4*p - 6. Let k(v) be the third derivative of h(v). Factor k(x).
-2*x*(x + 6)
Suppose -2*c + 3*c = j - 18, 19*c = -3*j + 54. Factor -4/7*q**3 + 4/7*q**4 + c - 16/7*q**2 + 16/7*q.
4*q*(q - 2)*(q - 1)*(q + 2)/7
Find m such that 9*m**3 + 22*m**3 - 16*m**3 - 48*m**2 - 18*m**3 - 192*m = 0.
-8, 0
Let f be ((-4)/18 - (-5008)/14085)*15. Factor 2/5*b**f - 8/5*b - 24/5.
2*(b - 6)*(b + 2)/5
Let h(r) be the first derivative of -r**5/5 - 11*r**4/12 - 5*r**3/6 + r**2 + 24*r + 70. Let w(m) be the first derivative of h(m). Factor w(b).
-(b + 1)*(b + 2)*(4*b - 1)
Let h(p) = 386*p**2 - 13447*p + 3776669. Let t(z) = -136*z**2 + 4482*z - 1258890. Let o(g) = 6*h(g) + 17*t(g). Let o(u) = 0. Calculate u.
561
Let y(u) be the first derivative of -22*u**5/25 + 23*u**4/10 - 2*u**3/5 - 19*u**2/5 + 4*u + 10821. Solve y(m) = 0.
-10/11, 1
Let r be (3/(-21) - (-39)/567)/((-97)/582). Let l(j) = j - 1. Let a be l(3). Factor 2/9*n**a - r + 2/9*n.
2*(n - 1)*(n + 2)/9
Let d = 24/11101 - -11053/22202. Find p, given that -15/2 + d*p**2 + 7*p = 0.
-15, 1
Suppose 0 - 298/5*j**2 + 12/5*j = 0. Calculate j.
0, 6/149
Let d = 221183 - 221180. Factor 9/5*q**2 + 3/5*q**d - 1/5*q**4 + q + 0.
-q*(q - 5)*(q + 1)**2/5
Let y be -7*(-33 + 32/(-8)). Suppose y*o - 244*o = 0. Factor 0 + 0*v + o*v**2 - v**4 - 3/2*v**3 + 1/2*v**5.
v**3*(v - 3)*(v + 1)/2
Let f(c) be the third derivative of c**7/210 + 69*c**6/40 + 884*c**5/5 - 1352*c**4/3 - 177*c**2. Factor f(u).
u*(u - 1)*(u + 104)**2
Find b, given that 4*b**3 - 1182 - 1309*b - b**4 - 39*b**3 - 7 + 209 - 363*b**2 = 0.
-20, -7, -1
Let s(v) = -3*v**4 - 163*v**3 + 1437*v**2 - 1277*v. Let m(t) = 4*t**4 - t**3 - t**2 + t. Let f(k) = -2*m(k) - s(k). What is c in f(c) = 0?
0, 1, 15, 17
Let w be ((-42)/12)/(42/(-18)). Factor -w*p**3 - 18*p**2 + 0*p + 0.
-3*p**2*(p + 12)/2
Let k be (14/49)/((-1)/(-7)). Suppose 11*l = 9*l - i + 9, 2*i = -5*l + 21. Factor 1 + 0*z**k + 3/2*z - 1/2*z**l.
-(z - 2)*(z + 1)**2/2
Factor -28/9*o**2 + 20 - 2/9*o**3 + 154/9*o.
-2*(o - 5)*(o + 1)*(o + 18)/9
Solve 4/3*a**4 - 904*a**2 + 0 - 2708/3*a**3 + 0*a = 0 for a.
-1, 0, 678
Suppose 4*a + y = 3*y + 18, 2*a + 4*y + 16 = 0. Let 33*w + 259*w**3 - 71*w**3 - 82*w**2 + 43*w + 48*w**4 - 8 + 306*w**a = 0. Calculate w.
-2, -1, 1/12
Let l(r) be the first derivative of -17*r**4/2 + 28*r**3 - 7*r**2 - 36*r - 11086. Factor l(w).
-2*(w - 2)*(w - 1)*(17*w + 9)
Let g(x) = x**3 - 9*x**2 + x - 5. Let p be g(9). Suppose -3*u = -4*l - 2 + p, -4*u = -4*l. Factor f**3 + 10*f**u + 4*f**3 - 5*f - 12 + 0*f**3 + 2.
5*(f - 1)*(f + 1)*(f + 2)
Let v(o) = -42*o**2 - 1796*o + 4. Let m(g) = 115*g**2 + 5392*g - 11. Let c(b) = -4*m(b) - 11*v(b). Let c(p) = 0. What is p?
0, 906
Let c be -3 + 5 + (12 - (2 + -4)). Suppose 4*k + 8 - c = 0. Suppose 5*t**5 - 10*t**4 - 3*t**3 - 25*t**3 + 23*t**3 + 10*t**k = 0. What is t?
-1, 0, 1, 2
Let d be (30/6)/(3/(-6)) + 4. Let s(n) = n + 14. Let h be s(d). Let -20 - 3*g - 9*g**2 + 10*g + h*g + 14*g**2 = 0. Calculate g.
-4, 1
Let f = -2339/6 + 4681/12. Let q(v) be the third derivative of -f*v**4 - 1/20*v**5 + 0 + 0*v + 0*v**3 - 17*v**2. Let q(r) = 0. Calculate r.
-2, 0
Let x(n) = 25*n - 197. Let p be x(-5). Let u be p/(-90) + (-174)/(-783). Factor -6/5 + u*v + 7/5*v**2.
(v + 3)*(7*v - 2)/5
Let b be (44/550)/(-5 + 208/40). Factor -2/5*z + b*z**2 + 0.
2*z*(z - 1)/5
Let i = 34 - 23. Let u(c) = c - 41. Let t be u(52). Suppose 3*y**2 + 5*y - y - t + i*y - 7 = 0. What is y?
-6, 1
Let t = -5127 + 16037/3. Let a = t + -214. Solve -32/3 + 16/3*q + a*q**2 + 2/3*q**3 = 0 for q.
-4, 1
Let g(t) be the first derivative of -t**6/14 - 216*t**5/35 - 621*t**4/4 - 4198*t**3/7 + 54846*t**2/7 - 130680*t/7 + 7470. Solve g(b) = 0 for b.
-33, -10, 2
Let f(v) = -v**3 + 10*v**2 - 18*v - 34. Let b be f(7). Let p be 3/9 + b/39. Let 0*q**3 + p*q**2 + 0 - 2/3*q**5 + 2/3*q**4 + 0*q = 0. Calculate q.
0, 1
Let o be 74/(-185) + (-6883)/5. Let x = o + 1380. Suppose -13/3*s**2 + 0 + 0*s + 1/3*s**x = 0. Calculate s.
0, 13
Let k(z) be the third derivative of z**6/420 + 3*z**5/10 - 22*z**4/7 + 268*z**3/21 + 4*z**2 - 232*z. Let k(i) = 0. Calculate i.
-67, 2
Let c be 0 - -4 - (45 + 3). Let l be (-1 - -31)*c/(-55). Suppose -4*a**3 - 24*a + a**3 + l*a = 0. Calculate a.
0
Let h = 122918/307495 - -16/61499. Factor -2/5*m**4 - 1/5*m**5 + 2/5 + 7/5*m + 8/5*m**2 + h*m**3.
-(m - 2)*(m + 1)**4/5
Let j(q) be the second derivative of q**6/15 + 179*q**5/25 + 3344*q**4/15 + 2002*q**3/3 + 735*q**2 + 443*q. Find z such that j(z) = 0.
-35, -1, -3/5
Suppose 319*s - 957 = 232*s. Let a(b) be the first derivative of -4/5*b**5 + 4/3*b**3 + s - 2*b**4 + 4*b**2 + 0*b. Solve a(z) = 0 for z.
-2, -1, 0, 1
Let j be (-73)/(-16) + 17/((-102)/(-12)). Let y = j - 477/80. Determine t, given that -1/5*t**4 - y*t**2 - 3/5*t**3 + 0 - 1/5*t = 0.
-1, 0
Let d be (-66)/88*40/(-105). Let a(g) be the first derivative of d*g**2 - 1/5*g**5 - 5 + 23/28*g**4 + 0*g - 20/21*g**3. Determine i, given that a(i) = 0.
0, 2/7, 1, 2
Suppose -73*r - 337*r = 0. Let -2/3*w**3 + r - 10/3*w + 4*w**2 = 0. What is w?
0, 1, 5
Let h(t) = -6*t**4 - 191*t**3 - 10007*t**2 + 10605*t + 20402. Let x(k) = k**4 - 2*k**3 + 2*k**2. Let p(j) = h(j) + 5*x(j). Let p(a) = 0. What is a?
-101, -1, 2
Factor -g**2 - 1591/2*g + 398.
-(g + 796)*(2*g - 1)/2
Let d(t) = 73*t + 235. Let o be d(-10). Let i be 2*-2 + (-7 - o/44). Factor -i*p - 7/8*p**2 + 0.
-p*(7*p + 2)/8
Let w(h) be the second derivative of h**6/105 - h**5/35 - 4*h**4/21 - 832*h. Factor w(z).
2*z**2*(z - 4)*(z + 2)/7
Let a(z) = -2*z**2 + 3*z + 10. Let v be a(0). Suppose -5*n + 5*g = -v, -4*n + 4*g = -3*n + 4. Factor 5/2*y**3 + 0*y + 0 + 5/4*y**2 + 5/4*y**n.
5*y**2*(y + 1)**2/4
Let t(r) be the third derivative of r**5/80 + 67*r**4/4 + 267*r**3/2 - 1799*r**2. Determine g so that t(g) = 0.
-534, -2
Let a = 1456 + -1454. Suppose i + 10 = -4*b, -2*b + 3*b = -a*i + 1. Factor 2*k**3 + 0 - 8/7*k**4 + 4/7*k**i + 0*k.
-2*k**2*(k - 2)*(4*k + 1)/7
Factor 2736*t**2 - 5499*t**2 + 2916*t**2 + 945*t + 2*t**3 + 1431 - 3*t**3.
-(t - 159)*(t + 3)**2
Let w(r) = 27*r**2 + r + 1. Let q(j) = 187*j**2 + 136*j + 72. Let h(c) = 2*q(c) - 14*w(c). Factor h(f).
-2*(f - 65)*(2*f + 1)
Suppose 2*b = -5*r + 8, 8*b + 4*r + 30 = 9*b. Factor 24*n - 6 - 10*n**2 - 16 + 22*n**2 - b*n**2.
-2*(n - 11)*(n - 1)
Let n = 14486 - 14468. Let l(r) be the second derivative of n*r + 1/3*r**3 - 1/