 73*g**5 + 14*g.
2*(g - 4)*(g - 1)*(g + 1)**3
Let s(l) be the third derivative of 0*l + 0*l**3 + 5*l**2 + 0 + 1/60*l**5 + 5/96*l**4 - 1/480*l**6. Factor s(g).
-g*(g - 5)*(g + 1)/4
Let j(x) be the third derivative of -2/35*x**7 + 0*x + 1/15*x**5 - 2/15*x**6 - 1 + 6*x**2 + 0*x**3 + 1/3*x**4. Suppose j(n) = 0. What is n?
-1, 0, 2/3
Let b(h) be the second derivative of 45*h + 1/3*h**2 + 0 + 1/72*h**4 - 1/9*h**3. Determine c, given that b(c) = 0.
2
Let k(r) = -7*r**2 + 71*r - 8. Let p be k(10). Determine v, given that -13*v - 9*v - 378*v**2 + 192*v**p + 184*v**2 = 0.
-11, 0
Let d be 14 + 330/44*(-7)/((-70)/(-12)). Factor -48020/3*u - 5880*u**3 + 67228/9 - 108*u**d + 1260*u**4 + 13720*u**2.
-4*(3*u - 7)**5/9
Let g(a) = -6*a**2 + 378*a + 16. Suppose 0 = -11*y - 42 + 75. Let z(f) = 2*f**2 - 126*f - 6. Let o(t) = y*g(t) + 8*z(t). Let o(s) = 0. What is s?
0, 63
Let m(i) = 116*i**2 - 4767*i + 453. Let b be m(41). Determine u so that 4/9*u**b + 116/9*u + 112/9 = 0.
-28, -1
Let r = -40 + 48. Suppose -2*n + r = 2*q - 0*q, -n = -2*q + 2. Determine x so that -10 + 33*x**n + 10*x**2 + 25*x - 8*x**2 = 0.
-1, 2/7
Let w(c) be the second derivative of -23/2*c**3 + 79*c - 1/4*c**4 + 0 + 36*c**2. Factor w(o).
-3*(o - 1)*(o + 24)
Let l(r) = -r**4 - 21*r**3 - 314*r**2 - 274*r + 5. Let x(b) = -4*b**3 - b**2 - b - 1. Let z(o) = l(o) + 5*x(o). Solve z(f) = 0 for f.
-31, -9, -1, 0
Let j = -303 + 275. Let u be (j/(-112))/((-1)/(-9)). Solve 8*p**2 - u + 3/2*p - 8*p**3 = 0 for p.
-1/2, 3/4
Let l(c) = 1049*c**2 - 5 - 1030*c**2 + 2 + 2*c**3. Let y(q) = 2*q**3 + 20*q**2 - 2. Let b(r) = -2*l(r) + 3*y(r). Solve b(s) = 0.
-11, 0
Let p(x) be the first derivative of -x**5/210 + x**4/21 - 13*x + 63. Let q(c) be the first derivative of p(c). Factor q(h).
-2*h**2*(h - 6)/21
Let b(a) be the second derivative of 0*a**5 + 5/24*a**4 + 0 - 1/60*a**6 - 197*a - a**2 + 0*a**3. Let b(f) = 0. Calculate f.
-2, -1, 1, 2
Let s(i) be the third derivative of -i**9/68040 - i**8/4320 + 2*i**7/2835 + 7*i**4/3 + i**2 + 13*i. Let o(x) be the second derivative of s(x). Factor o(p).
-2*p**2*(p - 1)*(p + 8)/9
Suppose -8 = -o - 3*o. Let q = 537313/2 - 268649. Factor 9 + 3/2*a**o - q*a.
3*(a - 3)*(a - 2)/2
Let u = 372 + -336. Let r be u/14*(11 - 16/4). Factor -3/2*z**4 - r*z - 9*z**3 - 39/2*z**2 - 6.
-3*(z + 1)**2*(z + 2)**2/2
Let n be (-4)/(-60)*10*8/64. Let l(w) be the first derivative of 21 + 0*w**2 + 2/15*w**5 - 1/6*w**6 + 0*w + n*w**4 + 0*w**3. Factor l(u).
-u**3*(u - 1)*(3*u + 1)/3
Let s(a) be the first derivative of 25*a**6/12 + 73*a**5/4 + 209*a**4/8 + 43*a**3/3 + 3*a**2 - 693. What is q in s(q) = 0?
-6, -1/2, -2/5, 0
Factor 1/4*g**2 + 9/2*g + 8.
(g + 2)*(g + 16)/4
Let s be (15 - 0)*(-112)/(-560). Factor -13254 + 901*g**2 - 194*g**s - 61*g**2 + 92*g**3 + 93*g**3 - 19317*g.
-3*(g - 47)**2*(3*g + 2)
Let x(j) be the second derivative of 5*j**4/48 - 25*j**3/8 - 85*j**2/4 + 7419*j. Find o, given that x(o) = 0.
-2, 17
Let o(p) be the third derivative of 1/32*p**4 - 1/4*p**3 - 2*p + 0 + 15*p**2 - 1/160*p**6 + 1/40*p**5. Let o(q) = 0. Calculate q.
-1, 1, 2
Suppose -25 = -3*b - 34, -4*a + 6123 = -5*b. Let u = a - 1523. Factor 3*x**u + 3*x**2 + 9/2*x**3 + 0 + 3/4*x**5 + 3/4*x.
3*x*(x + 1)**4/4
Suppose 526 + 44 = 38*v. Let g(s) be the first derivative of v - 8/25*s**5 + 0*s - 16/5*s**2 + 32/15*s**3 + 1/15*s**6 + 0*s**4. What is p in g(p) = 0?
-2, 0, 2
Let 1/3*d**2 - 41 + 122/3*d = 0. Calculate d.
-123, 1
Let w be (-120)/(-24) - (2/((-24)/68) - -4). Factor w + 14/3*x + 2/3*x**2.
2*(x + 2)*(x + 5)/3
Let j(z) be the second derivative of 133*z**4/108 - 89*z**3/9 + 4*z**2/9 - 2*z - 5406. Factor j(w).
(w - 4)*(133*w - 2)/9
Let c(a) be the second derivative of -4*a**5/15 - 127*a**4/6 + 64*a**3/3 - 38*a**2 - 124*a - 2. Let y(q) be the first derivative of c(q). Solve y(m) = 0.
-32, 1/4
Factor 9801/7 + 199/7*f**2 + 9999/7*f + 1/7*f**3.
(f + 1)*(f + 99)**2/7
Let v be -38 - -17 - (-1)/1. Let z be (v/110)/((-2)/22). Factor -1/3*u + 1/6*u**z + 1/6.
(u - 1)**2/6
Suppose 0 = -5*o - 0*o - 3*y + 83, -3*o = 3*y - 51. Let b be (o/(-21))/(24/(-168)). Factor 0 - 2*f**5 - 20*f**3 + b*f + 34/3*f**4 + 8*f**2.
-2*f*(f - 2)**3*(3*f + 1)/3
Factor 0 + 1/7*y**3 + 2/7*y**2 - 24/7*y.
y*(y - 4)*(y + 6)/7
Let m(s) be the first derivative of 56 + 3/2*s**4 + 1/2*s**6 - 9/2*s**2 + 3*s - 9/5*s**5 + 2*s**3. Factor m(c).
3*(c - 1)**4*(c + 1)
Let d = -382 - -394. Let q be (-13)/(-4) + (-3)/d*4. Solve -9/4*l**4 - q*l**3 - 3/4*l**2 - 3/4*l**5 + 0 + 0*l = 0 for l.
-1, 0
Let a(k) be the second derivative of -1/12*k**4 - 49*k + 0 - 14*k**2 + 11/6*k**3. Determine m, given that a(m) = 0.
4, 7
Let -4/5*g**5 + 992/5 - 1456/5*g - 112/5*g**4 + 76*g**3 + 40*g**2 = 0. What is g?
-31, -2, 1, 2
Let m(q) = -7*q + 2. Let g be m(3). Let y = 21 + g. Find r, given that -3*r - 2 + 4*r + 3*r - y*r**2 = 0.
1
Let m(n) = 3*n**2 + 1 + 2*n**2 - 5 + 11*n**2. Let h be m(-2). Determine t, given that 3 + h*t - 7*t**3 - 13 - 14 - 20*t**3 - 18*t**2 = 0.
-2, 2/3
Let a(j) be the second derivative of -17/6*j**4 - 289/6*j**3 + 170*j + 0 - 1/20*j**5 + 0*j**2. What is u in a(u) = 0?
-17, 0
Let o be ((-1)/105 - (-175)/1225)/(6/20). Factor -64/9*u**2 + 72 - 20*u - o*u**3.
-4*(u - 2)*(u + 9)**2/9
Let f be (-4)/6*45/75*(21 - 23). Let t(m) be the first derivative of -f*m**5 + 0*m + 4*m**4 + 11 - 20/3*m**3 + 4*m**2. What is s in t(s) = 0?
0, 1, 2
Let z(y) be the second derivative of -y**6/150 + y**5/20 + y**4/60 - y**3/6 - 445*y. Factor z(v).
-v*(v - 5)*(v - 1)*(v + 1)/5
Let q(s) be the second derivative of -s**5/4 - 205*s**4/12 + 440*s**3/3 - 450*s**2 + 165*s. Determine z, given that q(z) = 0.
-45, 2
Let u(k) = 71*k + 353. Let q be u(-8). Let a = -1069/5 - q. Factor 12/5*x**2 + 0*x**3 - 2/5*x**4 + a + 16/5*x.
-2*(x - 3)*(x + 1)**3/5
Let f(p) = 4*p**3 - 2448*p**2 - 2447*p - 634. Let o(d) = -8*d**3 + 4897*d**2 + 4896*d + 1263. Let c(v) = 7*f(v) + 4*o(v). Factor c(w).
-(w - 614)*(2*w + 1)**2
Let d be (8/3)/((-64)/(-240)). Suppose -2*k = k - d*k. Factor -4/3*j**3 + 1/6*j**2 + 1/3*j + 5/6*j**4 + k.
j*(j - 1)**2*(5*j + 2)/6
Let o(v) be the first derivative of 9/10*v**2 - 6/5*v + 2/5*v**3 + 144. Factor o(d).
3*(d + 2)*(2*d - 1)/5
Let y(c) = -c**3 + 10*c**2 + 12*c - 11. Let t be y(11). Suppose t = 4*j - 58 - 46. Factor 9 + j*n + 14*n + n**2 - 46*n.
(n - 3)**2
Factor 24/5 + 2/5*s**2 - 49/5*s.
(s - 24)*(2*s - 1)/5
Let m(d) be the second derivative of d**7/70 - 3*d**5/10 - d**4 - 3*d**3/2 - 6*d**2/5 + 975*d. Solve m(h) = 0.
-1, 4
Let w be 32/176 - (-170)/275. Factor -w*b + 0 + 34/15*b**2 - 2/3*b**3.
-2*b*(b - 3)*(5*b - 2)/15
Let z be (9 - 3) + (-12)/(-4) + -5. Suppose 22 = z*u + 2. Factor -3/10*k - 3/10*k**4 + 1/5*k**3 + 1/5*k**2 + 1/10*k**u + 1/10.
(k - 1)**4*(k + 1)/10
Let c(w) = -2290*w - 254187. Let o be c(-111). Suppose 360 + 5/3*j**o + 180*j + 30*j**2 = 0. What is j?
-6
Let u(k) be the third derivative of -18*k - 4/3*k**3 - 1/3*k**4 + 0 - 1/30*k**5 + 2*k**2. Solve u(x) = 0.
-2
Let t(v) be the first derivative of 5*v**8/336 - v**7/42 - v**6/24 + v**5/12 - 111*v**2/2 + 4. Let b(x) be the second derivative of t(x). Factor b(y).
5*y**2*(y - 1)**2*(y + 1)
Let b(s) = 3*s**2 + 531*s + 12890. Let r be b(-29). Solve -10*l**3 - r*l**2 - 3*l**4 - 1/5*l**5 - 9*l - 11/5 = 0 for l.
-11, -1
Suppose -2*l + 758 + 74 = -4*i, -3*i + 1697 = 4*l. Find w, given that -195*w**4 - l*w - 403*w - w**3 - 116*w**3 + 7*w**3 + 125 + 1030*w**2 - 25*w**5 = 0.
-5, 1/5, 1
Let w(b) be the first derivative of 151 - 432*b - 1/5*b**5 - 17*b**3 + 5*b**4 - 252*b**2. Suppose w(c) = 0. Calculate c.
-3, -1, 12
Let l = -118934 - -118936. Factor 1/4*f**5 + 865/4*f**3 - 13*f**4 - 1458 - 1971/2*f**l - 2673*f.
(f - 18)**3*(f + 1)**2/4
Let z(t) = -t**3 - 16*t**2 - 16*t + 39. Let l(a) = -a**3 - 16*a**2 - 15*a + 36. Let k(j) = -3*l(j) + 2*z(j). Suppose k(h) = 0. Calculate h.
-15, -2, 1
Let d(v) be the second derivative of 26*v**7/49 - 548*v**6/15 + 341*v**5/35 + 14*v**4/3 + 160*v - 8. Suppose d(a) = 0. Calculate a.
-2/13, 0, 1/3, 49
Suppose -3*k - 4*v = -16 - 1, -3*k = 3*v - 15. Factor k*x**3 - 52*x + 14*x + 85 - 37*x - 15*x**2 + 290.
3*(x - 5)**2*(x + 5)
Let u(m) be the second derivative of -m**4/18 - 59*m**3/9 - 760*m**2/3 + 3918*m - 2. Factor u(g).
-2*(g + 19)*(g + 40)/3
Suppose 4*n + 2*m - 102 = 0, 3*n + n - 5*m - 67 = 0. Suppose -5*g - n = -4